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QPLIB_2987

Formats gms lp mod qplib
Problem type probtype LCQ
Solution point objective value solobjvalue 513.00086810 (gdx, sol)
Solution point infeasibility solinfeasibility 6.8212e-13
Donor donor Ruth Misener
#Variables nvars 208
#Binary Variables nbinvars 0
#Integer Variables nintvars 0
#Bounded non-binary Variables nboundedvars 45
#Variables with only one bound nsingleboundedvars 0
#Nonlinear Variables nnlvars 45
#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 5
#Nonlinear Nonzeros in Objective nobjnlnz 0
#Quadratic Terms in Objective nobjquadnz 0
#Square Terms in Objective nobjquaddiagnz 0
#Constraints ncons 204
#Linear Constraints nlincons 114
#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 837
#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 5
Minimal blocksize in Hessian of Lagrangian laghessianminblocksize 9
Maximal blocksize in Hessian of Lagrangian laghessianmaxblocksize 9
Average blocksize in Hessian of Lagrangian laghessianavgblocksize 9.0
Sparsity Jacobian
Sparsity Lag. Hessian

QPLIB_2987.gms

$offlisting
*  
*  Equation counts
*      Total        E        G        L        N        X        C        B
*        205      193        0       12        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        209      209        0        0        0        0        0        0
*  FX      0        0        0        0        0        0        0        0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*        843      663      180        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;

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;

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;


e1..  - objvar + x2 + x3 + x4 + x5 + x6 =E= 0;

e2..  - x7 - x8 - x9 - x10 - x11 - x12 =E= -50;

e3..  - x13 - x14 - x15 - x16 - x17 - x18 =E= -120;

e4..  - x19 - x20 - x21 - x22 - x23 - x24 =E= -70;

e5..    x2 - x8 - x14 - x20 - x25 - x26 - x27 - x28 - x29 =E= 0;

e6..    x3 - x9 - x15 - x21 - x30 - x31 - x32 - x33 - x34 =E= 0;

e7..    x4 - x10 - x16 - x22 - x35 - x36 - x37 - x38 - x39 =E= 0;

e8..    x5 - x11 - x17 - x23 - x40 - x41 - x42 - x43 - x44 =E= 0;

e9..    x6 - x12 - x18 - x24 - x45 - x46 - x47 - x48 - x49 =E= 0;

e10..    x2 - x25 - x30 - x35 - x40 - x45 - x50 =E= 0;

e11..    x3 - x26 - x31 - x36 - x41 - x46 - x51 =E= 0;

e12..    x4 - x27 - x32 - x37 - x42 - x47 - x52 =E= 0;

e13..    x5 - x28 - x33 - x38 - x43 - x48 - x53 =E= 0;

e14..    x6 - x29 - x34 - x39 - x44 - x49 - x54 =E= 0;

e15..  - x7 - x13 - x19 - x50 - x51 - x52 - x53 - x54 + x55 =E= 0;

e16..  - x56 - x57 - x58 - x59 - x60 - x61 =E= -500;

e17..  - x62 - x63 - x64 - x65 - x66 - x67 =E= -10000;

e18..  - x68 - x69 - x70 - x71 - x72 - x73 =E= -13200;

e19..  - x74 - x75 - x76 - x77 - x78 - x79 =E= -16800;

e20..  - x80 - x81 - x82 - x83 - x84 - x85 =E= -7000;

e21..  - x86 - x87 - x88 - x89 - x90 - x91 =E= -1750;

e22..  - x57 + 500*x92 =E= 0;

e23..  - x63 + 10000*x92 =E= 0;

e24..  - x58 + 500*x93 =E= 0;

e25..  - x64 + 10000*x93 =E= 0;

e26..  - x59 + 500*x94 =E= 0;

e27..  - x65 + 10000*x94 =E= 0;

e28..  - x60 + 500*x95 =E= 0;

e29..  - x66 + 10000*x95 =E= 0;

e30..  - x61 + 500*x96 =E= 0;

e31..  - x67 + 10000*x96 =E= 0;

e32..  - x69 + 13200*x97 =E= 0;

e33..  - x75 + 16800*x97 =E= 0;

e34..  - x70 + 13200*x98 =E= 0;

e35..  - x76 + 16800*x98 =E= 0;

e36..  - x71 + 13200*x99 =E= 0;

e37..  - x77 + 16800*x99 =E= 0;

e38..  - x72 + 13200*x100 =E= 0;

e39..  - x78 + 16800*x100 =E= 0;

e40..  - x73 + 13200*x101 =E= 0;

e41..  - x79 + 16800*x101 =E= 0;

e42..  - x81 + 7000*x102 =E= 0;

e43..  - x87 + 1750*x102 =E= 0;

e44..  - x82 + 7000*x103 =E= 0;

e45..  - x88 + 1750*x103 =E= 0;

e46..  - x83 + 7000*x104 =E= 0;

e47..  - x89 + 1750*x104 =E= 0;

e48..  - x84 + 7000*x105 =E= 0;

e49..  - x90 + 1750*x105 =E= 0;

e50..  - x85 + 7000*x106 =E= 0;

e51..  - x91 + 1750*x106 =E= 0;

e52..  - x56 + 500*x107 =E= 0;

e53..  - x62 + 10000*x107 =E= 0;

e54..  - x68 + 13200*x108 =E= 0;

e55..  - x74 + 16800*x108 =E= 0;

e56..  - x80 + 7000*x109 =E= 0;

e57..  - x86 + 1750*x109 =E= 0;

e58..  - x8 + 50*x92 =E= 0;

e59..  - x9 + 50*x93 =E= 0;

e60..  - x10 + 50*x94 =E= 0;

e61..  - x11 + 50*x95 =E= 0;

e62..  - x12 + 50*x96 =E= 0;

e63..  - x14 + 120*x97 =E= 0;

e64..  - x15 + 120*x98 =E= 0;

e65..  - x16 + 120*x99 =E= 0;

e66..  - x17 + 120*x100 =E= 0;

e67..  - x18 + 120*x101 =E= 0;

e68..  - x20 + 70*x102 =E= 0;

e69..  - x21 + 70*x103 =E= 0;

e70..  - x22 + 70*x104 =E= 0;

e71..  - x23 + 70*x105 =E= 0;

e72..  - x24 + 70*x106 =E= 0;

e73..  - x7 + 50*x107 =E= 0;

e74..  - x13 + 120*x108 =E= 0;

e75..  - x19 + 70*x109 =E= 0;

e76..    x92 + x93 + x94 + x95 + x96 + x107 =E= 1;

e77..    x97 + x98 + x99 + x100 + x101 + x108 =E= 1;

e78..    x102 + x103 + x104 + x105 + x106 + x109 =E= 1;

e79..  - 145*x2 + x57 + x69 + x81 + x110 + x111 + x112 + x113 + x114 =L= 0;

e80..  - 400*x2 + x63 + x75 + x87 + x115 + x116 + x117 + x118 + x119 =L= 0;

e81..  - 110*x3 + x58 + x70 + x82 + x120 + x121 + x122 + x123 + x124 =L= 0;

e82..  - 90*x3 + x64 + x76 + x88 + x125 + x126 + x127 + x128 + x129 =L= 0;

e83..  - 90*x4 + x59 + x71 + x83 + x130 + x131 + x132 + x133 + x134 =L= 0;

e84..  - 100*x4 + x65 + x77 + x89 + x135 + x136 + x137 + x138 + x139 =L= 0;

e85..  - 200*x5 + x60 + x72 + x84 + x140 + x141 + x142 + x143 + x144 =L= 0;

e86..  - 90*x5 + x66 + x78 + x90 + x145 + x146 + x147 + x148 + x149 =L= 0;

e87..  - 50*x6 + x61 + x73 + x85 + x150 + x151 + x152 + x153 + x154 =L= 0;

e88..  - 80*x6 + x67 + x79 + x91 + x155 + x156 + x157 + x158 + x159 =L= 0;

e89..    0.1*x57 + 0.1*x69 + 0.1*x81 + 0.1*x110 + 0.1*x111 + 0.1*x112
       + 0.1*x113 + 0.1*x114 - x160 =E= 0;

e90..    x63 + x75 + x87 + x115 + x116 + x117 + x118 + x119 - x161 =E= 0;

e91..    0.3*x58 + 0.3*x70 + 0.3*x82 + 0.3*x120 + 0.3*x121 + 0.3*x122
       + 0.3*x123 + 0.3*x124 - x162 =E= 0;

e92..    0.1*x64 + 0.1*x76 + 0.1*x88 + 0.1*x125 + 0.1*x126 + 0.1*x127
       + 0.1*x128 + 0.1*x129 - x163 =E= 0;

e93..    x59 + x71 + x83 + x130 + x131 + x132 + x133 + x134 - x164 =E= 0;

e94..    0.2*x65 + 0.2*x77 + 0.2*x89 + 0.2*x135 + 0.2*x136 + 0.2*x137
       + 0.2*x138 + 0.2*x139 - x165 =E= 0;

e95..    0.5*x60 + 0.5*x72 + 0.5*x84 + 0.5*x140 + 0.5*x141 + 0.5*x142
       + 0.5*x143 + 0.5*x144 - x166 =E= 0;

e96..    x66 + x78 + x90 + x145 + x146 + x147 + x148 + x149 - x167 =E= 0;

e97..    0.35*x61 + 0.35*x73 + 0.35*x85 + 0.35*x150 + 0.35*x151 + 0.35*x152
       + 0.35*x153 + 0.35*x154 - x168 =E= 0;

e98..    0.4*x67 + 0.4*x79 + 0.4*x91 + 0.4*x155 + 0.4*x156 + 0.4*x157
       + 0.4*x158 + 0.4*x159 - x169 =E= 0;

e99..  - x110 - x120 - x130 - x140 - x150 + x160 - x170 =E= 0;

e100..  - x115 - x125 - x135 - x145 - x155 + x161 - x171 =E= 0;

e101..  - x111 - x121 - x131 - x141 - x151 + x162 - x172 =E= 0;

e102..  - x116 - x126 - x136 - x146 - x156 + x163 - x173 =E= 0;

e103..  - x112 - x122 - x132 - x142 - x152 + x164 - x174 =E= 0;

e104..  - x117 - x127 - x137 - x147 - x157 + x165 - x175 =E= 0;

e105..  - x113 - x123 - x133 - x143 - x153 + x166 - x176 =E= 0;

e106..  - x118 - x128 - x138 - x148 - x158 + x167 - x177 =E= 0;

e107..  - x114 - x124 - x134 - x144 - x154 + x168 - x178 =E= 0;

e108..  - x119 - x129 - x139 - x149 - x159 + x169 - x179 =E= 0;

e109..    x180 + x181 + x182 + x183 + x184 + x185 =E= 1;

e110..    x186 + x187 + x188 + x189 + x190 + x191 =E= 1;

e111..    x192 + x193 + x194 + x195 + x196 + x197 =E= 1;

e112..    x198 + x199 + x200 + x201 + x202 + x203 =E= 1;

e113..    x204 + x205 + x206 + x207 + x208 + x209 =E= 1;

e114..  - 10*x55 + x56 + x68 + x80 + x170 + x172 + x174 + x176 + x178 =L= 0;

e115..  - 5*x55 + x62 + x74 + x86 + x171 + x173 + x175 + x177 + x179 =L= 0;

e116.. x180*x160 - x110 =E= 0;

e117.. x180*x161 - x115 =E= 0;

e118.. x181*x160 - x120 =E= 0;

e119.. x181*x161 - x125 =E= 0;

e120.. x182*x160 - x130 =E= 0;

e121.. x182*x161 - x135 =E= 0;

e122.. x183*x160 - x140 =E= 0;

e123.. x183*x161 - x145 =E= 0;

e124.. x184*x160 - x150 =E= 0;

e125.. x184*x161 - x155 =E= 0;

e126.. x186*x162 - x111 =E= 0;

e127.. x186*x163 - x116 =E= 0;

e128.. x187*x162 - x121 =E= 0;

e129.. x187*x163 - x126 =E= 0;

e130.. x188*x162 - x131 =E= 0;

e131.. x188*x163 - x136 =E= 0;

e132.. x189*x162 - x141 =E= 0;

e133.. x189*x163 - x146 =E= 0;

e134.. x190*x162 - x151 =E= 0;

e135.. x190*x163 - x156 =E= 0;

e136.. x192*x164 - x112 =E= 0;

e137.. x192*x165 - x117 =E= 0;

e138.. x193*x164 - x122 =E= 0;

e139.. x193*x165 - x127 =E= 0;

e140.. x194*x164 - x132 =E= 0;

e141.. x194*x165 - x137 =E= 0;

e142.. x195*x164 - x142 =E= 0;

e143.. x195*x165 - x147 =E= 0;

e144.. x196*x164 - x152 =E= 0;

e145.. x196*x165 - x157 =E= 0;

e146.. x198*x166 - x113 =E= 0;

e147.. x198*x167 - x118 =E= 0;

e148.. x199*x166 - x123 =E= 0;

e149.. x199*x167 - x128 =E= 0;

e150.. x200*x166 - x133 =E= 0;

e151.. x200*x167 - x138 =E= 0;

e152.. x201*x166 - x143 =E= 0;

e153.. x201*x167 - x148 =E= 0;

e154.. x202*x166 - x153 =E= 0;

e155.. x202*x167 - x158 =E= 0;

e156.. x204*x168 - x114 =E= 0;

e157.. x204*x169 - x119 =E= 0;

e158.. x205*x168 - x124 =E= 0;

e159.. x205*x169 - x129 =E= 0;

e160.. x206*x168 - x134 =E= 0;

e161.. x206*x169 - x139 =E= 0;

e162.. x207*x168 - x144 =E= 0;

e163.. x207*x169 - x149 =E= 0;

e164.. x208*x168 - x154 =E= 0;

e165.. x208*x169 - x159 =E= 0;

e166.. x185*x160 - x170 =E= 0;

e167.. x185*x161 - x171 =E= 0;

e168.. x191*x162 - x172 =E= 0;

e169.. x191*x163 - x173 =E= 0;

e170.. x197*x164 - x174 =E= 0;

e171.. x197*x165 - x175 =E= 0;

e172.. x203*x166 - x176 =E= 0;

e173.. x203*x167 - x177 =E= 0;

e174.. x209*x168 - x178 =E= 0;

e175.. x209*x169 - x179 =E= 0;

e176.. x180*x2 - x25 =E= 0;

e177.. x181*x2 - x30 =E= 0;

e178.. x182*x2 - x35 =E= 0;

e179.. x183*x2 - x40 =E= 0;

e180.. x184*x2 - x45 =E= 0;

e181.. x186*x3 - x26 =E= 0;

e182.. x187*x3 - x31 =E= 0;

e183.. x188*x3 - x36 =E= 0;

e184.. x189*x3 - x41 =E= 0;

e185.. x190*x3 - x46 =E= 0;

e186.. x192*x4 - x27 =E= 0;

e187.. x193*x4 - x32 =E= 0;

e188.. x194*x4 - x37 =E= 0;

e189.. x195*x4 - x42 =E= 0;

e190.. x196*x4 - x47 =E= 0;

e191.. x198*x5 - x28 =E= 0;

e192.. x199*x5 - x33 =E= 0;

e193.. x200*x5 - x38 =E= 0;

e194.. x201*x5 - x43 =E= 0;

e195.. x202*x5 - x48 =E= 0;

e196.. x204*x6 - x29 =E= 0;

e197.. x205*x6 - x34 =E= 0;

e198.. x206*x6 - x39 =E= 0;

e199.. x207*x6 - x44 =E= 0;

e200.. x208*x6 - x49 =E= 0;

e201.. x185*x2 - x50 =E= 0;

e202.. x191*x3 - x51 =E= 0;

e203.. x197*x4 - x52 =E= 0;

e204.. x203*x5 - x53 =E= 0;

e205.. x209*x6 - x54 =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;

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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