QPLIB

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QPLIB_2993

Formats gms lp mod qplib
Problem type probtype LCQ
Solution point objective value solobjvalue 109.40140500 (gdx, sol)
Solution point infeasibility solinfeasibility 3.6380e-12
Donor donor Ruth Misener
#Variables nvars 266
#Binary Variables nbinvars 0
#Integer Variables nintvars 0
#Bounded non-binary Variables nboundedvars 33
#Variables with only one bound nsingleboundedvars 0
#Nonlinear Variables nnlvars 33
#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 3
#Nonlinear Nonzeros in Objective nobjnlnz 0
#Quadratic Terms in Objective nobjquadnz 0
#Square Terms in Objective nobjquaddiagnz 0
#Constraints ncons 319
#Linear Constraints nlincons 235
#Quadratic Constraints nquadcons 84
#Diagonal Quadratic Constraints ndiagquadcons 0
Constraints curvature conscurvature indefinite
#Convex Nonlinear Constraints nconvexnlcons 0
#Concave Nonlinear Constraints nconcavenlcons 0
#Indefinite Nonlinear Constraints nindefinitenlcons 84
#Nonzeros in Jacobian njacobiannz 1166
#Nonlinear Nonzeros in Jacobian njacobiannlnz 168
#Nonzeros in (Upper-Left) Hessian of Lagrangian nlaghessiannz 168
#Nonzeros in Diagonal of Hessian of Lagrangian nlaghessiandiagnz 0
#Blocks in Hessian of Lagrangian nlaghessianblocks 3
Minimal blocksize in Hessian of Lagrangian laghessianminblocksize 11
Maximal blocksize in Hessian of Lagrangian laghessianmaxblocksize 11
Average blocksize in Hessian of Lagrangian laghessianavgblocksize 11.0
Sparsity Jacobian
Sparsity Lag. Hessian

QPLIB_2993.gms

$offlisting
*  
*  Equation counts
*      Total        E        G        L        N        X        C        B
*        320      296        0       24        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        267      267        0        0        0        0        0        0
*  FX      0        0        0        0        0        0        0        0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       1170     1002      168        0
*
*  Solve m using QCP minimizing objvar;


Variables  objvar,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x16,x17,x18
          ,x19,x20,x21,x22,x23,x24,x25,x26,x27,x28,x29,x30,x31,x32,x33,x34,x35
          ,x36,x37,x38,x39,x40,x41,x42,x43,x44,x45,x46,x47,x48,x49,x50,x51,x52
          ,x53,x54,x55,x56,x57,x58,x59,x60,x61,x62,x63,x64,x65,x66,x67,x68,x69
          ,x70,x71,x72,x73,x74,x75,x76,x77,x78,x79,x80,x81,x82,x83,x84,x85,x86
          ,x87,x88,x89,x90,x91,x92,x93,x94,x95,x96,x97,x98,x99,x100,x101,x102
          ,x103,x104,x105,x106,x107,x108,x109,x110,x111,x112,x113,x114,x115
          ,x116,x117,x118,x119,x120,x121,x122,x123,x124,x125,x126,x127,x128
          ,x129,x130,x131,x132,x133,x134,x135,x136,x137,x138,x139,x140,x141
          ,x142,x143,x144,x145,x146,x147,x148,x149,x150,x151,x152,x153,x154
          ,x155,x156,x157,x158,x159,x160,x161,x162,x163,x164,x165,x166,x167
          ,x168,x169,x170,x171,x172,x173,x174,x175,x176,x177,x178,x179,x180
          ,x181,x182,x183,x184,x185,x186,x187,x188,x189,x190,x191,x192,x193
          ,x194,x195,x196,x197,x198,x199,x200,x201,x202,x203,x204,x205,x206
          ,x207,x208,x209,x210,x211,x212,x213,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;

Positive Variables  x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x16,x17
          ,x18,x19,x20,x21,x22,x23,x24,x25,x26,x27,x28,x29,x30,x31,x32,x33,x34
          ,x35,x36,x37,x38,x39,x40,x41,x42,x43,x44,x45,x46,x47,x48,x49,x50,x51
          ,x52,x53,x54,x55,x56,x57,x58,x59,x60,x61,x62,x63,x64,x65,x66,x67,x68
          ,x69,x70,x71,x72,x73,x74,x75,x76,x77,x78,x79,x80,x81,x82,x83,x84,x85
          ,x86,x87,x88,x89,x90,x91,x92,x93,x94,x95,x96,x97,x98,x99,x100,x101
          ,x102,x103,x104,x105,x106,x107,x108,x109,x110,x111,x112,x113,x114
          ,x115,x116,x117,x118,x119,x120,x121,x122,x123,x124,x125,x126,x127
          ,x128,x129,x130,x131,x132,x133,x134,x135,x136,x137,x138,x139,x140
          ,x141,x142,x143,x144,x145,x146,x147,x148,x149,x150,x151,x152,x153
          ,x154,x155,x156,x157,x158,x159,x160,x161,x162,x163,x164,x165,x166
          ,x167,x168,x169,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;

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;


e1..  - objvar + x2 + x3 + x4 =E= 0;

e2..  - x5 - x6 - x7 - x8 =E= -19;

e3..  - x9 - x10 - x11 - x12 =E= -7;

e4..  - x13 - x14 - x15 - x16 =E= -8;

e5..  - x17 - x18 - x19 - x20 =E= -6;

e6..  - x21 - x22 - x23 - x24 =E= -17;

e7..    x2 - x6 - x10 - x14 - x18 - x22 - x25 - x26 - x27 =E= 0;

e8..    x3 - x7 - x11 - x15 - x19 - x23 - x28 - x29 - x30 =E= 0;

e9..    x4 - x8 - x12 - x16 - x20 - x24 - x31 - x32 - x33 =E= 0;

e10..    x2 - x25 - x28 - x31 - x34 =E= 0;

e11..    x3 - x26 - x29 - x32 - x35 =E= 0;

e12..    x4 - x27 - x30 - x33 - x36 =E= 0;

e13..  - x5 - x9 - x13 - x17 - x21 - x34 - x35 - x36 + x37 =E= 0;

e14..  - x38 - x39 - x40 - x41 =E= -20900;

e15..  - x42 - x43 - x44 - x45 =E= -9500;

e16..  - x46 - x47 - x48 - x49 =E= -9500;

e17..  - x50 - x51 - x52 - x53 =E= -3800;

e18..  - x54 - x55 - x56 - x57 =E= -15200;

e19..  - x58 - x59 - x60 - x61 =E= -1900;

e20..  - x62 - x63 - x64 - x65 =E= -280;

e21..  - x66 - x67 - x68 - x69 =E= -700;

e22..  - x70 - x71 - x72 - x73 =E= -2100;

e23..  - x74 - x75 - x76 - x77 =E= -6370;

e24..  - x78 - x79 - x80 - x81 =E= -1400;

e25..  - x82 - x83 - x84 - x85 =E= -1600;

e26..  - x86 - x87 - x88 - x89 =E= -1760;

e27..  - x90 - x91 - x92 - x93 =E= -1600;

e28..  - x94 - x95 - x96 - x97 =E= -4000;

e29..  - x98 - x99 - x100 - x101 =E= -1200;

e30..  - x102 - x103 - x104 - x105 =E= -360;

e31..  - x106 - x107 - x108 - x109 =E= -3060;

e32..  - x110 - x111 - x112 - x113 =E= -3000;

e33..  - x114 - x115 - x116 - x117 =E= -1200;

e34..  - x118 - x119 - x120 - x121 =E= -4680;

e35..  - x122 - x123 - x124 - x125 =E= -600;

e36..  - x126 - x127 - x128 - x129 =E= -6800;

e37..  - x130 - x131 - x132 - x133 =E= -2890;

e38..  - x134 - x135 - x136 - x137 =E= -1700;

e39..  - x138 - x139 - x140 - x141 =E= -5100;

e40..  - x142 - x143 - x144 - x145 =E= -15300;

e41..  - x39 + 20900*x146 =E= 0;

e42..  - x43 + 9500*x146 =E= 0;

e43..  - x47 + 9500*x146 =E= 0;

e44..  - x51 + 3800*x146 =E= 0;

e45..  - x55 + 15200*x146 =E= 0;

e46..  - x59 + 1900*x146 =E= 0;

e47..  - x40 + 20900*x147 =E= 0;

e48..  - x44 + 9500*x147 =E= 0;

e49..  - x48 + 9500*x147 =E= 0;

e50..  - x52 + 3800*x147 =E= 0;

e51..  - x56 + 15200*x147 =E= 0;

e52..  - x60 + 1900*x147 =E= 0;

e53..  - x41 + 20900*x148 =E= 0;

e54..  - x45 + 9500*x148 =E= 0;

e55..  - x49 + 9500*x148 =E= 0;

e56..  - x53 + 3800*x148 =E= 0;

e57..  - x57 + 15200*x148 =E= 0;

e58..  - x61 + 1900*x148 =E= 0;

e59..  - x63 + 280*x149 =E= 0;

e60..  - x67 + 700*x149 =E= 0;

e61..  - x71 + 2100*x149 =E= 0;

e62..  - x75 + 6370*x149 =E= 0;

e63..  - x79 + 1400*x149 =E= 0;

e64..  - x64 + 280*x150 =E= 0;

e65..  - x68 + 700*x150 =E= 0;

e66..  - x72 + 2100*x150 =E= 0;

e67..  - x76 + 6370*x150 =E= 0;

e68..  - x80 + 1400*x150 =E= 0;

e69..  - x65 + 280*x151 =E= 0;

e70..  - x69 + 700*x151 =E= 0;

e71..  - x73 + 2100*x151 =E= 0;

e72..  - x77 + 6370*x151 =E= 0;

e73..  - x81 + 1400*x151 =E= 0;

e74..  - x83 + 1600*x152 =E= 0;

e75..  - x87 + 1760*x152 =E= 0;

e76..  - x91 + 1600*x152 =E= 0;

e77..  - x95 + 4000*x152 =E= 0;

e78..  - x99 + 1200*x152 =E= 0;

e79..  - x84 + 1600*x153 =E= 0;

e80..  - x88 + 1760*x153 =E= 0;

e81..  - x92 + 1600*x153 =E= 0;

e82..  - x96 + 4000*x153 =E= 0;

e83..  - x100 + 1200*x153 =E= 0;

e84..  - x85 + 1600*x154 =E= 0;

e85..  - x89 + 1760*x154 =E= 0;

e86..  - x93 + 1600*x154 =E= 0;

e87..  - x97 + 4000*x154 =E= 0;

e88..  - x101 + 1200*x154 =E= 0;

e89..  - x103 + 360*x155 =E= 0;

e90..  - x107 + 3060*x155 =E= 0;

e91..  - x111 + 3000*x155 =E= 0;

e92..  - x115 + 1200*x155 =E= 0;

e93..  - x119 + 4680*x155 =E= 0;

e94..  - x123 + 600*x155 =E= 0;

e95..  - x104 + 360*x156 =E= 0;

e96..  - x108 + 3060*x156 =E= 0;

e97..  - x112 + 3000*x156 =E= 0;

e98..  - x116 + 1200*x156 =E= 0;

e99..  - x120 + 4680*x156 =E= 0;

e100..  - x124 + 600*x156 =E= 0;

e101..  - x105 + 360*x157 =E= 0;

e102..  - x109 + 3060*x157 =E= 0;

e103..  - x113 + 3000*x157 =E= 0;

e104..  - x117 + 1200*x157 =E= 0;

e105..  - x121 + 4680*x157 =E= 0;

e106..  - x125 + 600*x157 =E= 0;

e107..  - x127 + 6800*x158 =E= 0;

e108..  - x131 + 2890*x158 =E= 0;

e109..  - x135 + 1700*x158 =E= 0;

e110..  - x139 + 5100*x158 =E= 0;

e111..  - x143 + 15300*x158 =E= 0;

e112..  - x128 + 6800*x159 =E= 0;

e113..  - x132 + 2890*x159 =E= 0;

e114..  - x136 + 1700*x159 =E= 0;

e115..  - x140 + 5100*x159 =E= 0;

e116..  - x144 + 15300*x159 =E= 0;

e117..  - x129 + 6800*x160 =E= 0;

e118..  - x133 + 2890*x160 =E= 0;

e119..  - x137 + 1700*x160 =E= 0;

e120..  - x141 + 5100*x160 =E= 0;

e121..  - x145 + 15300*x160 =E= 0;

e122..  - x38 + 20900*x161 =E= 0;

e123..  - x42 + 9500*x161 =E= 0;

e124..  - x46 + 9500*x161 =E= 0;

e125..  - x50 + 3800*x161 =E= 0;

e126..  - x54 + 15200*x161 =E= 0;

e127..  - x58 + 1900*x161 =E= 0;

e128..  - x62 + 280*x162 =E= 0;

e129..  - x66 + 700*x162 =E= 0;

e130..  - x70 + 2100*x162 =E= 0;

e131..  - x74 + 6370*x162 =E= 0;

e132..  - x78 + 1400*x162 =E= 0;

e133..  - x82 + 1600*x163 =E= 0;

e134..  - x86 + 1760*x163 =E= 0;

e135..  - x90 + 1600*x163 =E= 0;

e136..  - x94 + 4000*x163 =E= 0;

e137..  - x98 + 1200*x163 =E= 0;

e138..  - x102 + 360*x164 =E= 0;

e139..  - x106 + 3060*x164 =E= 0;

e140..  - x110 + 3000*x164 =E= 0;

e141..  - x114 + 1200*x164 =E= 0;

e142..  - x118 + 4680*x164 =E= 0;

e143..  - x122 + 600*x164 =E= 0;

e144..  - x126 + 6800*x165 =E= 0;

e145..  - x130 + 2890*x165 =E= 0;

e146..  - x134 + 1700*x165 =E= 0;

e147..  - x138 + 5100*x165 =E= 0;

e148..  - x142 + 15300*x165 =E= 0;

e149..  - x6 + 19*x146 =E= 0;

e150..  - x7 + 19*x147 =E= 0;

e151..  - x8 + 19*x148 =E= 0;

e152..  - x10 + 7*x149 =E= 0;

e153..  - x11 + 7*x150 =E= 0;

e154..  - x12 + 7*x151 =E= 0;

e155..  - x14 + 8*x152 =E= 0;

e156..  - x15 + 8*x153 =E= 0;

e157..  - x16 + 8*x154 =E= 0;

e158..  - x18 + 6*x155 =E= 0;

e159..  - x19 + 6*x156 =E= 0;

e160..  - x20 + 6*x157 =E= 0;

e161..  - x22 + 17*x158 =E= 0;

e162..  - x23 + 17*x159 =E= 0;

e163..  - x24 + 17*x160 =E= 0;

e164..  - x5 + 19*x161 =E= 0;

e165..  - x9 + 7*x162 =E= 0;

e166..  - x13 + 8*x163 =E= 0;

e167..  - x17 + 6*x164 =E= 0;

e168..  - x21 + 17*x165 =E= 0;

e169..    x146 + x147 + x148 + x161 =E= 1;

e170..    x149 + x150 + x151 + x162 =E= 1;

e171..    x152 + x153 + x154 + x163 =E= 1;

e172..    x155 + x156 + x157 + x164 =E= 1;

e173..    x158 + x159 + x160 + x165 =E= 1;

e174..  - 1100*x2 + x39 + x63 + x83 + x103 + x127 + x166 + x167 + x168 =L= 0;

e175..  - 1100*x2 + x43 + x87 + x107 + x131 + x169 + x170 + x171 =L= 0;

e176..  - 1100*x2 + x47 + x67 + x91 + x111 + x135 + x172 + x173 + x174 =L= 0;

e177..  - 1100*x2 + x51 + x71 + x95 + x115 + x139 + x175 + x176 + x177 =L= 0;

e178..  - 1100*x2 + x55 + x75 + x99 + x119 + x143 + x178 + x179 + x180 =L= 0;

e179..  - 1100*x2 + x59 + x79 + x123 + x181 + x182 + x183 =L= 0;

e180..  - 1100*x3 + x40 + x64 + x84 + x104 + x128 + x184 + x185 + x186 =L= 0;

e181..  - 1100*x3 + x44 + x88 + x108 + x132 + x187 + x188 + x189 =L= 0;

e182..  - 1100*x3 + x48 + x68 + x92 + x112 + x136 + x190 + x191 + x192 =L= 0;

e183..  - 1100*x3 + x52 + x72 + x96 + x116 + x140 + x193 + x194 + x195 =L= 0;

e184..  - 1100*x3 + x56 + x76 + x100 + x120 + x144 + x196 + x197 + x198 =L= 0;

e185..  - 1100*x3 + x60 + x80 + x124 + x199 + x200 + x201 =L= 0;

e186..  - 1100*x4 + x41 + x65 + x85 + x105 + x129 + x202 + x203 + x204 =L= 0;

e187..  - 1100*x4 + x45 + x89 + x109 + x133 + x205 + x206 + x207 =L= 0;

e188..  - 1100*x4 + x49 + x69 + x93 + x113 + x137 + x208 + x209 + x210 =L= 0;

e189..  - 1100*x4 + x53 + x73 + x97 + x117 + x141 + x211 + x212 + x213 =L= 0;

e190..  - 1100*x4 + x57 + x77 + x101 + x121 + x145 + x214 + x215 + x216 =L= 0;

e191..  - 1100*x4 + x61 + x81 + x125 + x217 + x218 + x219 =L= 0;

e192..    0.01*x39 + 0.01*x63 + 0.01*x83 + 0.01*x103 + 0.01*x127 + 0.01*x166
        + 0.01*x167 + 0.01*x168 - x220 =E= 0;

e193..    0.01*x43 + 0.01*x87 + 0.01*x107 + 0.01*x131 + 0.01*x169 + 0.01*x170
        + 0.01*x171 - x221 =E= 0;

e194..    x47 + x67 + x91 + x111 + x135 + x172 + x173 + x174 - x222 =E= 0;

e195..    x51 + x71 + x95 + x115 + x139 + x175 + x176 + x177 - x223 =E= 0;

e196..    x55 + x75 + x99 + x119 + x143 + x178 + x179 + x180 - x224 =E= 0;

e197..    x59 + x79 + x123 + x181 + x182 + x183 - x225 =E= 0;

e198..    x40 + x64 + x84 + x104 + x128 + x184 + x185 + x186 - x226 =E= 0;

e199..    x44 + x88 + x108 + x132 + x187 + x188 + x189 - x227 =E= 0;

e200..    0.01*x48 + 0.01*x68 + 0.01*x92 + 0.01*x112 + 0.01*x136 + 0.01*x190
        + 0.01*x191 + 0.01*x192 - x228 =E= 0;

e201..    0.01*x52 + 0.01*x72 + 0.01*x96 + 0.01*x116 + 0.01*x140 + 0.01*x193
        + 0.01*x194 + 0.01*x195 - x229 =E= 0;

e202..    x56 + x76 + x100 + x120 + x144 + x196 + x197 + x198 - x230 =E= 0;

e203..    x60 + x80 + x124 + x199 + x200 + x201 - x231 =E= 0;

e204..    x41 + x65 + x85 + x105 + x129 + x202 + x203 + x204 - x232 =E= 0;

e205..    x45 + x89 + x109 + x133 + x205 + x206 + x207 - x233 =E= 0;

e206..    x49 + x69 + x93 + x113 + x137 + x208 + x209 + x210 - x234 =E= 0;

e207..    x53 + x73 + x97 + x117 + x141 + x211 + x212 + x213 - x235 =E= 0;

e208..    0.01*x57 + 0.01*x77 + 0.01*x101 + 0.01*x121 + 0.01*x145 + 0.01*x214
        + 0.01*x215 + 0.01*x216 - x236 =E= 0;

e209..    0.01*x61 + 0.01*x81 + 0.01*x125 + 0.01*x217 + 0.01*x218 + 0.01*x219
        - x237 =E= 0;

e210..  - x166 - x184 - x202 + x220 - x238 =E= 0;

e211..  - x169 - x187 - x205 + x221 - x239 =E= 0;

e212..  - x172 - x190 - x208 + x222 - x240 =E= 0;

e213..  - x175 - x193 - x211 + x223 - x241 =E= 0;

e214..  - x178 - x196 - x214 + x224 - x242 =E= 0;

e215..  - x181 - x199 - x217 + x225 - x243 =E= 0;

e216..  - x167 - x185 - x203 + x226 - x244 =E= 0;

e217..  - x170 - x188 - x206 + x227 - x245 =E= 0;

e218..  - x173 - x191 - x209 + x228 - x246 =E= 0;

e219..  - x176 - x194 - x212 + x229 - x247 =E= 0;

e220..  - x179 - x197 - x215 + x230 - x248 =E= 0;

e221..  - x182 - x200 - x218 + x231 - x249 =E= 0;

e222..  - x168 - x186 - x204 + x232 - x250 =E= 0;

e223..  - x171 - x189 - x207 + x233 - x251 =E= 0;

e224..  - x174 - x192 - x210 + x234 - x252 =E= 0;

e225..  - x177 - x195 - x213 + x235 - x253 =E= 0;

e226..  - x180 - x198 - x216 + x236 - x254 =E= 0;

e227..  - x183 - x201 - x219 + x237 - x255 =E= 0;

e228..    x256 + x257 + x258 + x259 =E= 1;

e229..    x260 + x261 + x262 + x263 =E= 1;

e230..    x264 + x265 + x266 + x267 =E= 1;

e231..  - 100*x37 + x38 + x62 + x82 + x102 + x126 + x238 + x244 + x250 =L= 0;

e232..  - 100*x37 + x42 + x86 + x106 + x130 + x239 + x245 + x251 =L= 0;

e233..  - 100*x37 + x46 + x66 + x90 + x110 + x134 + x240 + x246 + x252 =L= 0;

e234..  - 100*x37 + x50 + x70 + x94 + x114 + x138 + x241 + x247 + x253 =L= 0;

e235..  - 100*x37 + x54 + x74 + x98 + x118 + x142 + x242 + x248 + x254 =L= 0;

e236..  - 100*x37 + x58 + x78 + x122 + x243 + x249 + x255 =L= 0;

e237.. x256*x220 - x166 =E= 0;

e238.. x256*x221 - x169 =E= 0;

e239.. x256*x222 - x172 =E= 0;

e240.. x256*x223 - x175 =E= 0;

e241.. x256*x224 - x178 =E= 0;

e242.. x256*x225 - x181 =E= 0;

e243.. x257*x220 - x184 =E= 0;

e244.. x257*x221 - x187 =E= 0;

e245.. x257*x222 - x190 =E= 0;

e246.. x257*x223 - x193 =E= 0;

e247.. x257*x224 - x196 =E= 0;

e248.. x257*x225 - x199 =E= 0;

e249.. x258*x220 - x202 =E= 0;

e250.. x258*x221 - x205 =E= 0;

e251.. x258*x222 - x208 =E= 0;

e252.. x258*x223 - x211 =E= 0;

e253.. x258*x224 - x214 =E= 0;

e254.. x258*x225 - x217 =E= 0;

e255.. x260*x226 - x167 =E= 0;

e256.. x260*x227 - x170 =E= 0;

e257.. x260*x228 - x173 =E= 0;

e258.. x260*x229 - x176 =E= 0;

e259.. x260*x230 - x179 =E= 0;

e260.. x260*x231 - x182 =E= 0;

e261.. x261*x226 - x185 =E= 0;

e262.. x261*x227 - x188 =E= 0;

e263.. x261*x228 - x191 =E= 0;

e264.. x261*x229 - x194 =E= 0;

e265.. x261*x230 - x197 =E= 0;

e266.. x261*x231 - x200 =E= 0;

e267.. x262*x226 - x203 =E= 0;

e268.. x262*x227 - x206 =E= 0;

e269.. x262*x228 - x209 =E= 0;

e270.. x262*x229 - x212 =E= 0;

e271.. x262*x230 - x215 =E= 0;

e272.. x262*x231 - x218 =E= 0;

e273.. x264*x232 - x168 =E= 0;

e274.. x264*x233 - x171 =E= 0;

e275.. x264*x234 - x174 =E= 0;

e276.. x264*x235 - x177 =E= 0;

e277.. x264*x236 - x180 =E= 0;

e278.. x264*x237 - x183 =E= 0;

e279.. x265*x232 - x186 =E= 0;

e280.. x265*x233 - x189 =E= 0;

e281.. x265*x234 - x192 =E= 0;

e282.. x265*x235 - x195 =E= 0;

e283.. x265*x236 - x198 =E= 0;

e284.. x265*x237 - x201 =E= 0;

e285.. x266*x232 - x204 =E= 0;

e286.. x266*x233 - x207 =E= 0;

e287.. x266*x234 - x210 =E= 0;

e288.. x266*x235 - x213 =E= 0;

e289.. x266*x236 - x216 =E= 0;

e290.. x266*x237 - x219 =E= 0;

e291.. x259*x220 - x238 =E= 0;

e292.. x259*x221 - x239 =E= 0;

e293.. x259*x222 - x240 =E= 0;

e294.. x259*x223 - x241 =E= 0;

e295.. x259*x224 - x242 =E= 0;

e296.. x259*x225 - x243 =E= 0;

e297.. x263*x226 - x244 =E= 0;

e298.. x263*x227 - x245 =E= 0;

e299.. x263*x228 - x246 =E= 0;

e300.. x263*x229 - x247 =E= 0;

e301.. x263*x230 - x248 =E= 0;

e302.. x263*x231 - x249 =E= 0;

e303.. x267*x232 - x250 =E= 0;

e304.. x267*x233 - x251 =E= 0;

e305.. x267*x234 - x252 =E= 0;

e306.. x267*x235 - x253 =E= 0;

e307.. x267*x236 - x254 =E= 0;

e308.. x267*x237 - x255 =E= 0;

e309.. x256*x2 - x25 =E= 0;

e310.. x257*x2 - x28 =E= 0;

e311.. x258*x2 - x31 =E= 0;

e312.. x260*x3 - x26 =E= 0;

e313.. x261*x3 - x29 =E= 0;

e314.. x262*x3 - x32 =E= 0;

e315.. x264*x4 - x27 =E= 0;

e316.. x265*x4 - x30 =E= 0;

e317.. x266*x4 - x33 =E= 0;

e318.. x259*x2 - x34 =E= 0;

e319.. x263*x3 - x35 =E= 0;

e320.. x267*x4 - x36 =E= 0;

* set non-default bounds
x2.up = 1000000;
x3.up = 1000000;
x4.up = 1000000;
x5.up = 1000000;
x6.up = 1000000;
x7.up = 1000000;
x8.up = 1000000;
x9.up = 1000000;
x10.up = 1000000;
x11.up = 1000000;
x12.up = 1000000;
x13.up = 1000000;
x14.up = 1000000;
x15.up = 1000000;
x16.up = 1000000;
x17.up = 1000000;
x18.up = 1000000;
x19.up = 1000000;
x20.up = 1000000;
x21.up = 1000000;
x22.up = 1000000;
x23.up = 1000000;
x24.up = 1000000;
x25.up = 1000000;
x26.up = 1000000;
x27.up = 1000000;
x28.up = 1000000;
x29.up = 1000000;
x30.up = 1000000;
x31.up = 1000000;
x32.up = 1000000;
x33.up = 1000000;
x34.up = 1000000;
x35.up = 1000000;
x36.up = 1000000;
x37.up = 1000000;
x38.up = 1000000;
x39.up = 1000000;
x40.up = 1000000;
x41.up = 1000000;
x42.up = 1000000;
x43.up = 1000000;
x44.up = 1000000;
x45.up = 1000000;
x46.up = 1000000;
x47.up = 1000000;
x48.up = 1000000;
x49.up = 1000000;
x50.up = 1000000;
x51.up = 1000000;
x52.up = 1000000;
x53.up = 1000000;
x54.up = 1000000;
x55.up = 1000000;
x56.up = 1000000;
x57.up = 1000000;
x58.up = 1000000;
x59.up = 1000000;
x60.up = 1000000;
x61.up = 1000000;
x62.up = 1000000;
x63.up = 1000000;
x64.up = 1000000;
x65.up = 1000000;
x66.up = 1000000;
x67.up = 1000000;
x68.up = 1000000;
x69.up = 1000000;
x70.up = 1000000;
x71.up = 1000000;
x72.up = 1000000;
x73.up = 1000000;
x74.up = 1000000;
x75.up = 1000000;
x76.up = 1000000;
x77.up = 1000000;
x78.up = 1000000;
x79.up = 1000000;
x80.up = 1000000;
x81.up = 1000000;
x82.up = 1000000;
x83.up = 1000000;
x84.up = 1000000;
x85.up = 1000000;
x86.up = 1000000;
x87.up = 1000000;
x88.up = 1000000;
x89.up = 1000000;
x90.up = 1000000;
x91.up = 1000000;
x92.up = 1000000;
x93.up = 1000000;
x94.up = 1000000;
x95.up = 1000000;
x96.up = 1000000;
x97.up = 1000000;
x98.up = 1000000;
x99.up = 1000000;
x100.up = 1000000;
x101.up = 1000000;
x102.up = 1000000;
x103.up = 1000000;
x104.up = 1000000;
x105.up = 1000000;
x106.up = 1000000;
x107.up = 1000000;
x108.up = 1000000;
x109.up = 1000000;
x110.up = 1000000;
x111.up = 1000000;
x112.up = 1000000;
x113.up = 1000000;
x114.up = 1000000;
x115.up = 1000000;
x116.up = 1000000;
x117.up = 1000000;
x118.up = 1000000;
x119.up = 1000000;
x120.up = 1000000;
x121.up = 1000000;
x122.up = 1000000;
x123.up = 1000000;
x124.up = 1000000;
x125.up = 1000000;
x126.up = 1000000;
x127.up = 1000000;
x128.up = 1000000;
x129.up = 1000000;
x130.up = 1000000;
x131.up = 1000000;
x132.up = 1000000;
x133.up = 1000000;
x134.up = 1000000;
x135.up = 1000000;
x136.up = 1000000;
x137.up = 1000000;
x138.up = 1000000;
x139.up = 1000000;
x140.up = 1000000;
x141.up = 1000000;
x142.up = 1000000;
x143.up = 1000000;
x144.up = 1000000;
x145.up = 1000000;
x146.up = 1000000;
x147.up = 1000000;
x148.up = 1000000;
x149.up = 1000000;
x150.up = 1000000;
x151.up = 1000000;
x152.up = 1000000;
x153.up = 1000000;
x154.up = 1000000;
x155.up = 1000000;
x156.up = 1000000;
x157.up = 1000000;
x158.up = 1000000;
x159.up = 1000000;
x160.up = 1000000;
x161.up = 1000000;
x162.up = 1000000;
x163.up = 1000000;
x164.up = 1000000;
x165.up = 1000000;
x166.up = 1000000;
x167.up = 1000000;
x168.up = 1000000;
x169.up = 1000000;
x170.up = 1000000;
x171.up = 1000000;
x172.up = 1000000;
x173.up = 1000000;
x174.up = 1000000;
x175.up = 1000000;
x176.up = 1000000;
x177.up = 1000000;
x178.up = 1000000;
x179.up = 1000000;
x180.up = 1000000;
x181.up = 1000000;
x182.up = 1000000;
x183.up = 1000000;
x184.up = 1000000;
x185.up = 1000000;
x186.up = 1000000;
x187.up = 1000000;
x188.up = 1000000;
x189.up = 1000000;
x190.up = 1000000;
x191.up = 1000000;
x192.up = 1000000;
x193.up = 1000000;
x194.up = 1000000;
x195.up = 1000000;
x196.up = 1000000;
x197.up = 1000000;
x198.up = 1000000;
x199.up = 1000000;
x200.up = 1000000;
x201.up = 1000000;
x202.up = 1000000;
x203.up = 1000000;
x204.up = 1000000;
x205.up = 1000000;
x206.up = 1000000;
x207.up = 1000000;
x208.up = 1000000;
x209.up = 1000000;
x210.up = 1000000;
x211.up = 1000000;
x212.up = 1000000;
x213.up = 1000000;
x214.up = 1000000;
x215.up = 1000000;
x216.up = 1000000;
x217.up = 1000000;
x218.up = 1000000;
x219.up = 1000000;
x220.up = 1000000;
x221.up = 1000000;
x222.up = 1000000;
x223.up = 1000000;
x224.up = 1000000;
x225.up = 1000000;
x226.up = 1000000;
x227.up = 1000000;
x228.up = 1000000;
x229.up = 1000000;
x230.up = 1000000;
x231.up = 1000000;
x232.up = 1000000;
x233.up = 1000000;
x234.up = 1000000;
x235.up = 1000000;
x236.up = 1000000;
x237.up = 1000000;
x238.up = 1000000;
x239.up = 1000000;
x240.up = 1000000;
x241.up = 1000000;
x242.up = 1000000;
x243.up = 1000000;
x244.up = 1000000;
x245.up = 1000000;
x246.up = 1000000;
x247.up = 1000000;
x248.up = 1000000;
x249.up = 1000000;
x250.up = 1000000;
x251.up = 1000000;
x252.up = 1000000;
x253.up = 1000000;
x254.up = 1000000;
x255.up = 1000000;
x256.up = 1000000;
x257.up = 1000000;
x258.up = 1000000;
x259.up = 1000000;
x260.up = 1000000;
x261.up = 1000000;
x262.up = 1000000;
x263.up = 1000000;
x264.up = 1000000;
x265.up = 1000000;
x266.up = 1000000;
x267.up = 1000000;

Model m / all /;

m.limrow=0; m.limcol=0;

$if NOT '%gams.u1%' == '' $include '%gams.u1%'

m.tolproj = 0.0;
$if not set QCP $set QCP QCP
Solve m using %QCP% minimizing objvar;





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