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QPLIB_2758

Formats gms lp mod qplib
Problem type probtype LCQ
Solution point objective value solobjvalue 2127.11538500 (gdx, sol)
Solution point infeasibility solinfeasibility 7.2760e-12
Donor donor Ruth Misener
#Variables nvars 303
#Binary Variables nbinvars 0
#Integer Variables nintvars 0
#Bounded non-binary Variables nboundedvars 70
#Variables with only one bound nsingleboundedvars 0
#Nonlinear Variables nnlvars 70
#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 7
#Nonlinear Nonzeros in Objective nobjnlnz 0
#Quadratic Terms in Objective nobjquadnz 0
#Square Terms in Objective nobjquaddiagnz 0
#Constraints ncons 251
#Linear Constraints nlincons 139
#Quadratic Constraints nquadcons 112
#Diagonal Quadratic Constraints ndiagquadcons 0
Constraints curvature conscurvature indefinite
#Convex Nonlinear Constraints nconvexnlcons 0
#Concave Nonlinear Constraints nconcavenlcons 0
#Indefinite Nonlinear Constraints nindefinitenlcons 112
#Nonzeros in Jacobian njacobiannz 1097
#Nonlinear Nonzeros in Jacobian njacobiannlnz 224
#Nonzeros in (Upper-Left) Hessian of Lagrangian nlaghessiannz 224
#Nonzeros in Diagonal of Hessian of Lagrangian nlaghessiandiagnz 0
#Blocks in Hessian of Lagrangian nlaghessianblocks 7
Minimal blocksize in Hessian of Lagrangian laghessianminblocksize 10
Maximal blocksize in Hessian of Lagrangian laghessianmaxblocksize 10
Average blocksize in Hessian of Lagrangian laghessianavgblocksize 10.0
Sparsity Jacobian
Sparsity Lag. Hessian

QPLIB_2758.gms

$offlisting
*  
*  Equation counts
*      Total        E        G        L        N        X        C        B
*        252      244        0        8        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        304      304        0        0        0        0        0        0
*  FX      0        0        0        0        0        0        0        0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       1105      881      224        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,x268,x269,x270,x271
          ,x272,x273,x274,x275,x276,x277,x278,x279,x280,x281,x282,x283,x284
          ,x285,x286,x287,x288,x289,x290,x291,x292,x293,x294,x295,x296,x297
          ,x298,x299,x300,x301,x302,x303,x304;

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,x268,x269,x270
          ,x271,x272,x273,x274,x275,x276,x277,x278,x279,x280,x281,x282,x283
          ,x284,x285,x286,x287,x288,x289,x290,x291,x292,x293,x294,x295,x296
          ,x297,x298,x299,x300,x301,x302,x303,x304;

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;


e1..  - objvar + x2 + x3 + x4 + x5 + x6 + x7 + x8 =E= 0;

e2..  - x9 - x10 - x11 - x12 - x13 - x14 - x15 - x16 =E= -80;

e3..  - x17 - x18 - x19 - x20 - x21 - x22 - x23 - x24 =E= -450;

e4..  - x25 - x26 - x27 - x28 - x29 - x30 - x31 - x32 =E= -230;

e5..  - x33 - x34 - x35 - x36 - x37 - x38 - x39 - x40 =E= -90;

e6..  - x41 - x42 - x43 - x44 - x45 - x46 - x47 - x48 =E= -330;

e7..    x2 - x10 - x18 - x26 - x34 - x42 - x49 - x50 - x51 - x52 - x53 - x54
      - x55 =E= 0;

e8..    x3 - x11 - x19 - x27 - x35 - x43 - x56 - x57 - x58 - x59 - x60 - x61
      - x62 =E= 0;

e9..    x4 - x12 - x20 - x28 - x36 - x44 - x63 - x64 - x65 - x66 - x67 - x68
      - x69 =E= 0;

e10..    x5 - x13 - x21 - x29 - x37 - x45 - x70 - x71 - x72 - x73 - x74 - x75
       - x76 =E= 0;

e11..    x6 - x14 - x22 - x30 - x38 - x46 - x77 - x78 - x79 - x80 - x81 - x82
       - x83 =E= 0;

e12..    x7 - x15 - x23 - x31 - x39 - x47 - x84 - x85 - x86 - x87 - x88 - x89
       - x90 =E= 0;

e13..    x8 - x16 - x24 - x32 - x40 - x48 - x91 - x92 - x93 - x94 - x95 - x96
       - x97 =E= 0;

e14..    x2 - x49 - x56 - x63 - x70 - x77 - x84 - x91 - x98 =E= 0;

e15..    x3 - x50 - x57 - x64 - x71 - x78 - x85 - x92 - x99 =E= 0;

e16..    x4 - x51 - x58 - x65 - x72 - x79 - x86 - x93 - x100 =E= 0;

e17..    x5 - x52 - x59 - x66 - x73 - x80 - x87 - x94 - x101 =E= 0;

e18..    x6 - x53 - x60 - x67 - x74 - x81 - x88 - x95 - x102 =E= 0;

e19..    x7 - x54 - x61 - x68 - x75 - x82 - x89 - x96 - x103 =E= 0;

e20..    x8 - x55 - x62 - x69 - x76 - x83 - x90 - x97 - x104 =E= 0;

e21..  - x9 - x17 - x25 - x33 - x41 - x98 - x99 - x100 - x101 - x102 - x103
       - x104 + x105 =E= 0;

e22..  - x106 - x107 - x108 - x109 - x110 - x111 - x112 - x113 =E= -960;

e23..  - x114 - x115 - x116 - x117 - x118 - x119 - x120 - x121 =E= -22500;

e24..  - x122 - x123 - x124 - x125 - x126 - x127 - x128 - x129 =E= -115000;

e25..  - x130 - x131 - x132 - x133 - x134 - x135 - x136 - x137 =E= -36000;

e26..  - x138 - x139 - x140 - x141 - x142 - x143 - x144 - x145 =E= -39600;

e27..  - x107 + 960*x146 =E= 0;

e28..  - x108 + 960*x147 =E= 0;

e29..  - x109 + 960*x148 =E= 0;

e30..  - x110 + 960*x149 =E= 0;

e31..  - x111 + 960*x150 =E= 0;

e32..  - x112 + 960*x151 =E= 0;

e33..  - x113 + 960*x152 =E= 0;

e34..  - x115 + 22500*x153 =E= 0;

e35..  - x116 + 22500*x154 =E= 0;

e36..  - x117 + 22500*x155 =E= 0;

e37..  - x118 + 22500*x156 =E= 0;

e38..  - x119 + 22500*x157 =E= 0;

e39..  - x120 + 22500*x158 =E= 0;

e40..  - x121 + 22500*x159 =E= 0;

e41..  - x123 + 115000*x160 =E= 0;

e42..  - x124 + 115000*x161 =E= 0;

e43..  - x125 + 115000*x162 =E= 0;

e44..  - x126 + 115000*x163 =E= 0;

e45..  - x127 + 115000*x164 =E= 0;

e46..  - x128 + 115000*x165 =E= 0;

e47..  - x129 + 115000*x166 =E= 0;

e48..  - x131 + 36000*x167 =E= 0;

e49..  - x132 + 36000*x168 =E= 0;

e50..  - x133 + 36000*x169 =E= 0;

e51..  - x134 + 36000*x170 =E= 0;

e52..  - x135 + 36000*x171 =E= 0;

e53..  - x136 + 36000*x172 =E= 0;

e54..  - x137 + 36000*x173 =E= 0;

e55..  - x139 + 39600*x174 =E= 0;

e56..  - x140 + 39600*x175 =E= 0;

e57..  - x141 + 39600*x176 =E= 0;

e58..  - x142 + 39600*x177 =E= 0;

e59..  - x143 + 39600*x178 =E= 0;

e60..  - x144 + 39600*x179 =E= 0;

e61..  - x145 + 39600*x180 =E= 0;

e62..  - x106 + 960*x181 =E= 0;

e63..  - x114 + 22500*x182 =E= 0;

e64..  - x122 + 115000*x183 =E= 0;

e65..  - x130 + 36000*x184 =E= 0;

e66..  - x138 + 39600*x185 =E= 0;

e67..  - x10 + 80*x146 =E= 0;

e68..  - x11 + 80*x147 =E= 0;

e69..  - x12 + 80*x148 =E= 0;

e70..  - x13 + 80*x149 =E= 0;

e71..  - x14 + 80*x150 =E= 0;

e72..  - x15 + 80*x151 =E= 0;

e73..  - x16 + 80*x152 =E= 0;

e74..  - x18 + 450*x153 =E= 0;

e75..  - x19 + 450*x154 =E= 0;

e76..  - x20 + 450*x155 =E= 0;

e77..  - x21 + 450*x156 =E= 0;

e78..  - x22 + 450*x157 =E= 0;

e79..  - x23 + 450*x158 =E= 0;

e80..  - x24 + 450*x159 =E= 0;

e81..  - x26 + 230*x160 =E= 0;

e82..  - x27 + 230*x161 =E= 0;

e83..  - x28 + 230*x162 =E= 0;

e84..  - x29 + 230*x163 =E= 0;

e85..  - x30 + 230*x164 =E= 0;

e86..  - x31 + 230*x165 =E= 0;

e87..  - x32 + 230*x166 =E= 0;

e88..  - x34 + 90*x167 =E= 0;

e89..  - x35 + 90*x168 =E= 0;

e90..  - x36 + 90*x169 =E= 0;

e91..  - x37 + 90*x170 =E= 0;

e92..  - x38 + 90*x171 =E= 0;

e93..  - x39 + 90*x172 =E= 0;

e94..  - x40 + 90*x173 =E= 0;

e95..  - x42 + 330*x174 =E= 0;

e96..  - x43 + 330*x175 =E= 0;

e97..  - x44 + 330*x176 =E= 0;

e98..  - x45 + 330*x177 =E= 0;

e99..  - x46 + 330*x178 =E= 0;

e100..  - x47 + 330*x179 =E= 0;

e101..  - x48 + 330*x180 =E= 0;

e102..  - x9 + 80*x181 =E= 0;

e103..  - x17 + 450*x182 =E= 0;

e104..  - x25 + 230*x183 =E= 0;

e105..  - x33 + 90*x184 =E= 0;

e106..  - x41 + 330*x185 =E= 0;

e107..    x146 + x147 + x148 + x149 + x150 + x151 + x152 + x181 =E= 1;

e108..    x153 + x154 + x155 + x156 + x157 + x158 + x159 + x182 =E= 1;

e109..    x160 + x161 + x162 + x163 + x164 + x165 + x166 + x183 =E= 1;

e110..    x167 + x168 + x169 + x170 + x171 + x172 + x173 + x184 =E= 1;

e111..    x174 + x175 + x176 + x177 + x178 + x179 + x180 + x185 =E= 1;

e112..  - 400*x2 + x107 + x115 + x123 + x131 + x139 + x186 + x187 + x188 + x189
        + x190 + x191 + x192 =L= 0;

e113..  - 100*x3 + x108 + x116 + x124 + x132 + x140 + x193 + x194 + x195 + x196
        + x197 + x198 + x199 =L= 0;

e114..  - 50*x4 + x109 + x117 + x125 + x133 + x141 + x200 + x201 + x202 + x203
        + x204 + x205 + x206 =L= 0;

e115..  - 570*x5 + x110 + x118 + x126 + x134 + x142 + x207 + x208 + x209 + x210
        + x211 + x212 + x213 =L= 0;

e116..  - 100*x6 + x111 + x119 + x127 + x135 + x143 + x214 + x215 + x216 + x217
        + x218 + x219 + x220 =L= 0;

e117..  - 30*x7 + x112 + x120 + x128 + x136 + x144 + x221 + x222 + x223 + x224
        + x225 + x226 + x227 =L= 0;

e118..  - 640*x8 + x113 + x121 + x129 + x137 + x145 + x228 + x229 + x230 + x231
        + x232 + x233 + x234 =L= 0;

e119..    0.9*x107 + 0.9*x115 + 0.9*x123 + 0.9*x131 + 0.9*x139 + 0.9*x186
        + 0.9*x187 + 0.9*x188 + 0.9*x189 + 0.9*x190 + 0.9*x191 + 0.9*x192
        - x235 =E= 0;

e120..    0.6*x108 + 0.6*x116 + 0.6*x124 + 0.6*x132 + 0.6*x140 + 0.6*x193
        + 0.6*x194 + 0.6*x195 + 0.6*x196 + 0.6*x197 + 0.6*x198 + 0.6*x199
        - x236 =E= 0;

e121..    0.15*x109 + 0.15*x117 + 0.15*x125 + 0.15*x133 + 0.15*x141 + 0.15*x200
        + 0.15*x201 + 0.15*x202 + 0.15*x203 + 0.15*x204 + 0.15*x205 + 0.15*x206
        - x237 =E= 0;

e122..    0.26*x110 + 0.26*x118 + 0.26*x126 + 0.26*x134 + 0.26*x142 + 0.26*x207
        + 0.26*x208 + 0.26*x209 + 0.26*x210 + 0.26*x211 + 0.26*x212 + 0.26*x213
        - x238 =E= 0;

e123..    0.1*x111 + 0.1*x119 + 0.1*x127 + 0.1*x135 + 0.1*x143 + 0.1*x214
        + 0.1*x215 + 0.1*x216 + 0.1*x217 + 0.1*x218 + 0.1*x219 + 0.1*x220
        - x239 =E= 0;

e124..    0.4*x112 + 0.4*x120 + 0.4*x128 + 0.4*x136 + 0.4*x144 + 0.4*x221
        + 0.4*x222 + 0.4*x223 + 0.4*x224 + 0.4*x225 + 0.4*x226 + 0.4*x227
        - x240 =E= 0;

e125..    0.3*x113 + 0.3*x121 + 0.3*x129 + 0.3*x137 + 0.3*x145 + 0.3*x228
        + 0.3*x229 + 0.3*x230 + 0.3*x231 + 0.3*x232 + 0.3*x233 + 0.3*x234
        - x241 =E= 0;

e126..  - x186 - x193 - x200 - x207 - x214 - x221 - x228 + x235 - x242 =E= 0;

e127..  - x187 - x194 - x201 - x208 - x215 - x222 - x229 + x236 - x243 =E= 0;

e128..  - x188 - x195 - x202 - x209 - x216 - x223 - x230 + x237 - x244 =E= 0;

e129..  - x189 - x196 - x203 - x210 - x217 - x224 - x231 + x238 - x245 =E= 0;

e130..  - x190 - x197 - x204 - x211 - x218 - x225 - x232 + x239 - x246 =E= 0;

e131..  - x191 - x198 - x205 - x212 - x219 - x226 - x233 + x240 - x247 =E= 0;

e132..  - x192 - x199 - x206 - x213 - x220 - x227 - x234 + x241 - x248 =E= 0;

e133..    x249 + x250 + x251 + x252 + x253 + x254 + x255 + x256 =E= 1;

e134..    x257 + x258 + x259 + x260 + x261 + x262 + x263 + x264 =E= 1;

e135..    x265 + x266 + x267 + x268 + x269 + x270 + x271 + x272 =E= 1;

e136..    x273 + x274 + x275 + x276 + x277 + x278 + x279 + x280 =E= 1;

e137..    x281 + x282 + x283 + x284 + x285 + x286 + x287 + x288 =E= 1;

e138..    x289 + x290 + x291 + x292 + x293 + x294 + x295 + x296 =E= 1;

e139..    x297 + x298 + x299 + x300 + x301 + x302 + x303 + x304 =E= 1;

e140..  - 4*x105 + x106 + x114 + x122 + x130 + x138 + x242 + x243 + x244 + x245
        + x246 + x247 + x248 =L= 0;

e141.. x249*x235 - x186 =E= 0;

e142.. x250*x235 - x193 =E= 0;

e143.. x251*x235 - x200 =E= 0;

e144.. x252*x235 - x207 =E= 0;

e145.. x253*x235 - x214 =E= 0;

e146.. x254*x235 - x221 =E= 0;

e147.. x255*x235 - x228 =E= 0;

e148.. x257*x236 - x187 =E= 0;

e149.. x258*x236 - x194 =E= 0;

e150.. x259*x236 - x201 =E= 0;

e151.. x260*x236 - x208 =E= 0;

e152.. x261*x236 - x215 =E= 0;

e153.. x262*x236 - x222 =E= 0;

e154.. x263*x236 - x229 =E= 0;

e155.. x265*x237 - x188 =E= 0;

e156.. x266*x237 - x195 =E= 0;

e157.. x267*x237 - x202 =E= 0;

e158.. x268*x237 - x209 =E= 0;

e159.. x269*x237 - x216 =E= 0;

e160.. x270*x237 - x223 =E= 0;

e161.. x271*x237 - x230 =E= 0;

e162.. x273*x238 - x189 =E= 0;

e163.. x274*x238 - x196 =E= 0;

e164.. x275*x238 - x203 =E= 0;

e165.. x276*x238 - x210 =E= 0;

e166.. x277*x238 - x217 =E= 0;

e167.. x278*x238 - x224 =E= 0;

e168.. x279*x238 - x231 =E= 0;

e169.. x281*x239 - x190 =E= 0;

e170.. x282*x239 - x197 =E= 0;

e171.. x283*x239 - x204 =E= 0;

e172.. x284*x239 - x211 =E= 0;

e173.. x285*x239 - x218 =E= 0;

e174.. x286*x239 - x225 =E= 0;

e175.. x287*x239 - x232 =E= 0;

e176.. x289*x240 - x191 =E= 0;

e177.. x290*x240 - x198 =E= 0;

e178.. x291*x240 - x205 =E= 0;

e179.. x292*x240 - x212 =E= 0;

e180.. x293*x240 - x219 =E= 0;

e181.. x294*x240 - x226 =E= 0;

e182.. x295*x240 - x233 =E= 0;

e183.. x297*x241 - x192 =E= 0;

e184.. x298*x241 - x199 =E= 0;

e185.. x299*x241 - x206 =E= 0;

e186.. x300*x241 - x213 =E= 0;

e187.. x301*x241 - x220 =E= 0;

e188.. x302*x241 - x227 =E= 0;

e189.. x303*x241 - x234 =E= 0;

e190.. x256*x235 - x242 =E= 0;

e191.. x264*x236 - x243 =E= 0;

e192.. x272*x237 - x244 =E= 0;

e193.. x280*x238 - x245 =E= 0;

e194.. x288*x239 - x246 =E= 0;

e195.. x296*x240 - x247 =E= 0;

e196.. x304*x241 - x248 =E= 0;

e197.. x249*x2 - x49 =E= 0;

e198.. x250*x2 - x56 =E= 0;

e199.. x251*x2 - x63 =E= 0;

e200.. x252*x2 - x70 =E= 0;

e201.. x253*x2 - x77 =E= 0;

e202.. x254*x2 - x84 =E= 0;

e203.. x255*x2 - x91 =E= 0;

e204.. x257*x3 - x50 =E= 0;

e205.. x258*x3 - x57 =E= 0;

e206.. x259*x3 - x64 =E= 0;

e207.. x260*x3 - x71 =E= 0;

e208.. x261*x3 - x78 =E= 0;

e209.. x262*x3 - x85 =E= 0;

e210.. x263*x3 - x92 =E= 0;

e211.. x265*x4 - x51 =E= 0;

e212.. x266*x4 - x58 =E= 0;

e213.. x267*x4 - x65 =E= 0;

e214.. x268*x4 - x72 =E= 0;

e215.. x269*x4 - x79 =E= 0;

e216.. x270*x4 - x86 =E= 0;

e217.. x271*x4 - x93 =E= 0;

e218.. x273*x5 - x52 =E= 0;

e219.. x274*x5 - x59 =E= 0;

e220.. x275*x5 - x66 =E= 0;

e221.. x276*x5 - x73 =E= 0;

e222.. x277*x5 - x80 =E= 0;

e223.. x278*x5 - x87 =E= 0;

e224.. x279*x5 - x94 =E= 0;

e225.. x281*x6 - x53 =E= 0;

e226.. x282*x6 - x60 =E= 0;

e227.. x283*x6 - x67 =E= 0;

e228.. x284*x6 - x74 =E= 0;

e229.. x285*x6 - x81 =E= 0;

e230.. x286*x6 - x88 =E= 0;

e231.. x287*x6 - x95 =E= 0;

e232.. x289*x7 - x54 =E= 0;

e233.. x290*x7 - x61 =E= 0;

e234.. x291*x7 - x68 =E= 0;

e235.. x292*x7 - x75 =E= 0;

e236.. x293*x7 - x82 =E= 0;

e237.. x294*x7 - x89 =E= 0;

e238.. x295*x7 - x96 =E= 0;

e239.. x297*x8 - x55 =E= 0;

e240.. x298*x8 - x62 =E= 0;

e241.. x299*x8 - x69 =E= 0;

e242.. x300*x8 - x76 =E= 0;

e243.. x301*x8 - x83 =E= 0;

e244.. x302*x8 - x90 =E= 0;

e245.. x303*x8 - x97 =E= 0;

e246.. x256*x2 - x98 =E= 0;

e247.. x264*x3 - x99 =E= 0;

e248.. x272*x4 - x100 =E= 0;

e249.. x280*x5 - x101 =E= 0;

e250.. x288*x6 - x102 =E= 0;

e251.. x296*x7 - x103 =E= 0;

e252.. x304*x8 - x104 =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;
x268.up = 1000000;
x269.up = 1000000;
x270.up = 1000000;
x271.up = 1000000;
x272.up = 1000000;
x273.up = 1000000;
x274.up = 1000000;
x275.up = 1000000;
x276.up = 1000000;
x277.up = 1000000;
x278.up = 1000000;
x279.up = 1000000;
x280.up = 1000000;
x281.up = 1000000;
x282.up = 1000000;
x283.up = 1000000;
x284.up = 1000000;
x285.up = 1000000;
x286.up = 1000000;
x287.up = 1000000;
x288.up = 1000000;
x289.up = 1000000;
x290.up = 1000000;
x291.up = 1000000;
x292.up = 1000000;
x293.up = 1000000;
x294.up = 1000000;
x295.up = 1000000;
x296.up = 1000000;
x297.up = 1000000;
x298.up = 1000000;
x299.up = 1000000;
x300.up = 1000000;
x301.up = 1000000;
x302.up = 1000000;
x303.up = 1000000;
x304.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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