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QPLIB_3338

Formats gms lp mod qplib
Problem type probtype LCQ
Solution point objective value solobjvalue 662.80703840 (gdx, sol)
Solution point infeasibility solinfeasibility 1.4552e-11
Donor donor Ruth Misener
#Variables nvars 320
#Binary Variables nbinvars 0
#Integer Variables nintvars 0
#Bounded non-binary Variables nboundedvars 216
#Variables with only one bound nsingleboundedvars 0
#Nonlinear Variables nnlvars 216
#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 39
#Nonlinear Nonzeros in Objective nobjnlnz 0
#Quadratic Terms in Objective nobjquadnz 0
#Square Terms in Objective nobjquaddiagnz 0
#Constraints ncons 136
#Linear Constraints nlincons 26
#Quadratic Constraints nquadcons 110
#Diagonal Quadratic Constraints ndiagquadcons 0
Constraints curvature conscurvature indefinite
#Convex Nonlinear Constraints nconvexnlcons 0
#Concave Nonlinear Constraints nconcavenlcons 0
#Indefinite Nonlinear Constraints nindefinitenlcons 110
#Nonzeros in Jacobian njacobiannz 2245
#Nonlinear Nonzeros in Jacobian njacobiannlnz 1395
#Nonzeros in (Upper-Left) Hessian of Lagrangian nlaghessiannz 1350
#Nonzeros in Diagonal of Hessian of Lagrangian nlaghessiandiagnz 0
#Blocks in Hessian of Lagrangian nlaghessianblocks 9
Minimal blocksize in Hessian of Lagrangian laghessianminblocksize 24
Maximal blocksize in Hessian of Lagrangian laghessianmaxblocksize 24
Average blocksize in Hessian of Lagrangian laghessianavgblocksize 24.0
Sparsity Jacobian
Sparsity Lag. Hessian

QPLIB_3338.gms

$offlisting
*  
*  Equation counts
*      Total        E        G        L        N        X        C        B
*        137      117       20        0        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        321      321        0        0        0        0        0        0
*  FX      0        0        0        0        0        0        0        0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       2285      890     1395        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,x305,x306,x307,x308,x309,x310
          ,x311,x312,x313,x314,x315,x316,x317,x318,x319,x320,x321;

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,x305,x306,x307,x308,x309
          ,x310,x311,x312,x313,x314,x315,x316,x317,x318,x319,x320,x321;

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;


e1..  - 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 =E= 0;

e2..  - x2 - x15 - x28 + x131 - x132 - x133 - x134 - x135 - x136 - x137 - x138
      - x139 - x140 - x141 - x142 - x143 - x144 =E= 0;

e3..  - x3 - x16 - x29 + x145 - x146 - x147 - x148 - x149 - x150 - x151 - x152
      - x153 - x154 - x155 - x156 - x157 - x158 =E= 0;

e4..  - x4 - x17 - x30 + x159 - x160 - x161 - x162 - x163 - x164 - x165 - x166
      - x167 - x168 - x169 - x170 - x171 - x172 =E= 0;

e5..  - x5 - x18 - x31 + x173 - x174 - x175 - x176 - x177 - x178 - x179 - x180
      - x181 - x182 - x183 - x184 - x185 - x186 =E= 0;

e6..  - x6 - x19 - x32 + x187 - x188 - x189 - x190 - x191 - x192 - x193 - x194
      - x195 - x196 - x197 - x198 - x199 - x200 =E= 0;

e7..  - x7 - x20 - x33 + x201 - x202 - x203 - x204 - x205 - x206 - x207 - x208
      - x209 - x210 - x211 - x212 - x213 - x214 =E= 0;

e8..  - x8 - x21 - x34 + x215 - x216 - x217 - x218 - x219 - x220 - x221 - x222
      - x223 - x224 - x225 - x226 - x227 - x228 =E= 0;

e9..  - x9 - x22 - x35 + x229 - x230 - x231 - x232 - x233 - x234 - x235 - x236
      - x237 - x238 - x239 - x240 - x241 - x242 =E= 0;

e10..  - x10 - x23 - x36 + x243 - x244 - x245 - x246 - x247 - x248 - x249
       - x250 - x251 - x252 - x253 - x254 - x255 - x256 =E= 0;

e11..  - x11 - x24 - x37 - x257 - x258 - x259 - x260 - x261 - x262 - x263
       - x264 - x265 - x266 - x267 - x268 - x269 =E= -115;

e12..  - x12 - x25 - x38 - x270 - x271 - x272 - x273 - x274 - x275 - x276
       - x277 - x278 - x279 - x280 - x281 - x282 =E= -85;

e13..  - x13 - x26 - x39 - x283 - x284 - x285 - x286 - x287 - x288 - x289
       - x290 - x291 - x292 - x293 - x294 - x295 =E= -95;

e14..  - x14 - x27 - x40 - x296 - x297 - x298 - x299 - x300 - x301 - x302
       - x303 - x304 - x305 - x306 - x307 - x308 =E= -80;

e15..    x131 - x132 - x146 - x160 - x174 - x188 - x202 - x216 - x230 - x244
       - x257 - x270 - x283 - x296 - x309 =E= 0;

e16..  - x133 + x145 - x147 - x161 - x175 - x189 - x203 - x217 - x231 - x245
       - x258 - x271 - x284 - x297 - x310 =E= 0;

e17..  - x134 - x148 + x159 - x162 - x176 - x190 - x204 - x218 - x232 - x246
       - x259 - x272 - x285 - x298 - x311 =E= 0;

e18..  - x135 - x149 - x163 + x173 - x177 - x191 - x205 - x219 - x233 - x247
       - x260 - x273 - x286 - x299 - x312 =E= 0;

e19..  - x136 - x150 - x164 - x178 + x187 - x192 - x206 - x220 - x234 - x248
       - x261 - x274 - x287 - x300 - x313 =E= 0;

e20..  - x137 - x151 - x165 - x179 - x193 + x201 - x207 - x221 - x235 - x249
       - x262 - x275 - x288 - x301 - x314 =E= 0;

e21..  - x138 - x152 - x166 - x180 - x194 - x208 + x215 - x222 - x236 - x250
       - x263 - x276 - x289 - x302 - x315 =E= 0;

e22..  - x139 - x153 - x167 - x181 - x195 - x209 - x223 + x229 - x237 - x251
       - x264 - x277 - x290 - x303 - x316 =E= 0;

e23..  - x140 - x154 - x168 - x182 - x196 - x210 - x224 - x238 + x243 - x252
       - x265 - x278 - x291 - x304 - x317 =E= 0;

e24..  - x141 - x155 - x169 - x183 - x197 - x211 - x225 - x239 - x253 - x266
       - x279 - x292 - x305 - x318 =E= -75;

e25..  - x142 - x156 - x170 - x184 - x198 - x212 - x226 - x240 - x254 - x267
       - x280 - x293 - x306 - x319 =E= -95;

e26..  - x143 - x157 - x171 - x185 - x199 - x213 - x227 - x241 - x255 - x268
       - x281 - x294 - x307 - x320 =E= -100;

e27..  - x144 - x158 - x172 - x186 - x200 - x214 - x228 - x242 - x256 - x269
       - x282 - x295 - x308 - x321 =E= -70;

e28.. x131*x41 - x132*x86 - x133*x91 - x134*x96 - x135*x101 - x136*x106 - x137*
      x111 - x138*x116 - x139*x121 - x140*x126 - 3*x2 - 8*x15 - 10*x28
       - 893*x141 - 810*x142 - 757*x143 - 1016*x144 =E= 0;

e29.. x131*x42 - x132*x87 - x133*x92 - x134*x97 - x135*x102 - x136*x107 - x137*
      x112 - x138*x117 - x139*x122 - x140*x127 - 3*x2 - 9*x15 - 849*x141
       - 968*x142 - 545*x143 - 953*x144 =E= 0;

e30.. x131*x43 - x132*x88 - x133*x93 - x134*x98 - x135*x103 - x136*x108 - x137*
      x113 - x138*x118 - x139*x123 - x140*x128 - 8*x2 - 10*x15 - 3*x28
       - 947*x141 - 481*x142 - 785*x143 - 473*x144 =E= 0;

e31.. x131*x44 - x132*x89 - x133*x94 - x134*x99 - x135*x104 - x136*x109 - x137*
      x114 - x138*x119 - x139*x124 - x140*x129 - 8*x2 - 2*x15 - 9*x28
       - 613*x141 - 771*x142 - 689*x143 - 971*x144 =E= 0;

e32.. x131*x45 - x132*x90 - x133*x95 - x134*x100 - x135*x105 - x136*x110 - x137
      *x115 - x138*x120 - x139*x125 - x140*x130 - 4*x2 - 4*x15 - 8*x28
       - 440*x141 - 998*x142 - 986*x143 - 620*x144 =E= 0;

e33.. x145*x46 - x146*x86 - x147*x91 - x148*x96 - x149*x101 - x150*x106 - x151*
      x111 - x152*x116 - x153*x121 - x154*x126 - 3*x3 - 8*x16 - 10*x29
       - 893*x155 - 810*x156 - 757*x157 - 1016*x158 =E= 0;

e34.. x145*x47 - x146*x87 - x147*x92 - x148*x97 - x149*x102 - x150*x107 - x151*
      x112 - x152*x117 - x153*x122 - x154*x127 - 3*x3 - 9*x16 - 849*x155
       - 968*x156 - 545*x157 - 953*x158 =E= 0;

e35.. x145*x48 - x146*x88 - x147*x93 - x148*x98 - x149*x103 - x150*x108 - x151*
      x113 - x152*x118 - x153*x123 - x154*x128 - 8*x3 - 10*x16 - 3*x29
       - 947*x155 - 481*x156 - 785*x157 - 473*x158 =E= 0;

e36.. x145*x49 - x146*x89 - x147*x94 - x148*x99 - x149*x104 - x150*x109 - x151*
      x114 - x152*x119 - x153*x124 - x154*x129 - 8*x3 - 2*x16 - 9*x29
       - 613*x155 - 771*x156 - 689*x157 - 971*x158 =E= 0;

e37.. x145*x50 - x146*x90 - x147*x95 - x148*x100 - x149*x105 - x150*x110 - x151
      *x115 - x152*x120 - x153*x125 - x154*x130 - 4*x3 - 4*x16 - 8*x29
       - 440*x155 - 998*x156 - 986*x157 - 620*x158 =E= 0;

e38.. x159*x51 - x160*x86 - x161*x91 - x162*x96 - x163*x101 - x164*x106 - x165*
      x111 - x166*x116 - x167*x121 - x168*x126 - 3*x4 - 8*x17 - 10*x30
       - 893*x169 - 810*x170 - 757*x171 - 1016*x172 =E= 0;

e39.. x159*x52 - x160*x87 - x161*x92 - x162*x97 - x163*x102 - x164*x107 - x165*
      x112 - x166*x117 - x167*x122 - x168*x127 - 3*x4 - 9*x17 - 849*x169
       - 968*x170 - 545*x171 - 953*x172 =E= 0;

e40.. x159*x53 - x160*x88 - x161*x93 - x162*x98 - x163*x103 - x164*x108 - x165*
      x113 - x166*x118 - x167*x123 - x168*x128 - 8*x4 - 10*x17 - 3*x30
       - 947*x169 - 481*x170 - 785*x171 - 473*x172 =E= 0;

e41.. x159*x54 - x160*x89 - x161*x94 - x162*x99 - x163*x104 - x164*x109 - x165*
      x114 - x166*x119 - x167*x124 - x168*x129 - 8*x4 - 2*x17 - 9*x30
       - 613*x169 - 771*x170 - 689*x171 - 971*x172 =E= 0;

e42.. x159*x55 - x160*x90 - x161*x95 - x162*x100 - x163*x105 - x164*x110 - x165
      *x115 - x166*x120 - x167*x125 - x168*x130 - 4*x4 - 4*x17 - 8*x30
       - 440*x169 - 998*x170 - 986*x171 - 620*x172 =E= 0;

e43.. x173*x56 - x174*x86 - x175*x91 - x176*x96 - x177*x101 - x178*x106 - x179*
      x111 - x180*x116 - x181*x121 - x182*x126 - 3*x5 - 8*x18 - 10*x31
       - 893*x183 - 810*x184 - 757*x185 - 1016*x186 =E= 0;

e44.. x173*x57 - x174*x87 - x175*x92 - x176*x97 - x177*x102 - x178*x107 - x179*
      x112 - x180*x117 - x181*x122 - x182*x127 - 3*x5 - 9*x18 - 849*x183
       - 968*x184 - 545*x185 - 953*x186 =E= 0;

e45.. x173*x58 - x174*x88 - x175*x93 - x176*x98 - x177*x103 - x178*x108 - x179*
      x113 - x180*x118 - x181*x123 - x182*x128 - 8*x5 - 10*x18 - 3*x31
       - 947*x183 - 481*x184 - 785*x185 - 473*x186 =E= 0;

e46.. x173*x59 - x174*x89 - x175*x94 - x176*x99 - x177*x104 - x178*x109 - x179*
      x114 - x180*x119 - x181*x124 - x182*x129 - 8*x5 - 2*x18 - 9*x31
       - 613*x183 - 771*x184 - 689*x185 - 971*x186 =E= 0;

e47.. x173*x60 - x174*x90 - x175*x95 - x176*x100 - x177*x105 - x178*x110 - x179
      *x115 - x180*x120 - x181*x125 - x182*x130 - 4*x5 - 4*x18 - 8*x31
       - 440*x183 - 998*x184 - 986*x185 - 620*x186 =E= 0;

e48.. x187*x61 - x188*x86 - x189*x91 - x190*x96 - x191*x101 - x192*x106 - x193*
      x111 - x194*x116 - x195*x121 - x196*x126 - 3*x6 - 8*x19 - 10*x32
       - 893*x197 - 810*x198 - 757*x199 - 1016*x200 =E= 0;

e49.. x187*x62 - x188*x87 - x189*x92 - x190*x97 - x191*x102 - x192*x107 - x193*
      x112 - x194*x117 - x195*x122 - x196*x127 - 3*x6 - 9*x19 - 849*x197
       - 968*x198 - 545*x199 - 953*x200 =E= 0;

e50.. x187*x63 - x188*x88 - x189*x93 - x190*x98 - x191*x103 - x192*x108 - x193*
      x113 - x194*x118 - x195*x123 - x196*x128 - 8*x6 - 10*x19 - 3*x32
       - 947*x197 - 481*x198 - 785*x199 - 473*x200 =E= 0;

e51.. x187*x64 - x188*x89 - x189*x94 - x190*x99 - x191*x104 - x192*x109 - x193*
      x114 - x194*x119 - x195*x124 - x196*x129 - 8*x6 - 2*x19 - 9*x32
       - 613*x197 - 771*x198 - 689*x199 - 971*x200 =E= 0;

e52.. x187*x65 - x188*x90 - x189*x95 - x190*x100 - x191*x105 - x192*x110 - x193
      *x115 - x194*x120 - x195*x125 - x196*x130 - 4*x6 - 4*x19 - 8*x32
       - 440*x197 - 998*x198 - 986*x199 - 620*x200 =E= 0;

e53.. x201*x66 - x202*x86 - x203*x91 - x204*x96 - x205*x101 - x206*x106 - x207*
      x111 - x208*x116 - x209*x121 - x210*x126 - 3*x7 - 8*x20 - 10*x33
       - 893*x211 - 810*x212 - 757*x213 - 1016*x214 =E= 0;

e54.. x201*x67 - x202*x87 - x203*x92 - x204*x97 - x205*x102 - x206*x107 - x207*
      x112 - x208*x117 - x209*x122 - x210*x127 - 3*x7 - 9*x20 - 849*x211
       - 968*x212 - 545*x213 - 953*x214 =E= 0;

e55.. x201*x68 - x202*x88 - x203*x93 - x204*x98 - x205*x103 - x206*x108 - x207*
      x113 - x208*x118 - x209*x123 - x210*x128 - 8*x7 - 10*x20 - 3*x33
       - 947*x211 - 481*x212 - 785*x213 - 473*x214 =E= 0;

e56.. x201*x69 - x202*x89 - x203*x94 - x204*x99 - x205*x104 - x206*x109 - x207*
      x114 - x208*x119 - x209*x124 - x210*x129 - 8*x7 - 2*x20 - 9*x33
       - 613*x211 - 771*x212 - 689*x213 - 971*x214 =E= 0;

e57.. x201*x70 - x202*x90 - x203*x95 - x204*x100 - x205*x105 - x206*x110 - x207
      *x115 - x208*x120 - x209*x125 - x210*x130 - 4*x7 - 4*x20 - 8*x33
       - 440*x211 - 998*x212 - 986*x213 - 620*x214 =E= 0;

e58.. x215*x71 - x216*x86 - x217*x91 - x218*x96 - x219*x101 - x220*x106 - x221*
      x111 - x222*x116 - x223*x121 - x224*x126 - 3*x8 - 8*x21 - 10*x34
       - 893*x225 - 810*x226 - 757*x227 - 1016*x228 =E= 0;

e59.. x215*x72 - x216*x87 - x217*x92 - x218*x97 - x219*x102 - x220*x107 - x221*
      x112 - x222*x117 - x223*x122 - x224*x127 - 3*x8 - 9*x21 - 849*x225
       - 968*x226 - 545*x227 - 953*x228 =E= 0;

e60.. x215*x73 - x216*x88 - x217*x93 - x218*x98 - x219*x103 - x220*x108 - x221*
      x113 - x222*x118 - x223*x123 - x224*x128 - 8*x8 - 10*x21 - 3*x34
       - 947*x225 - 481*x226 - 785*x227 - 473*x228 =E= 0;

e61.. x215*x74 - x216*x89 - x217*x94 - x218*x99 - x219*x104 - x220*x109 - x221*
      x114 - x222*x119 - x223*x124 - x224*x129 - 8*x8 - 2*x21 - 9*x34
       - 613*x225 - 771*x226 - 689*x227 - 971*x228 =E= 0;

e62.. x215*x75 - x216*x90 - x217*x95 - x218*x100 - x219*x105 - x220*x110 - x221
      *x115 - x222*x120 - x223*x125 - x224*x130 - 4*x8 - 4*x21 - 8*x34
       - 440*x225 - 998*x226 - 986*x227 - 620*x228 =E= 0;

e63.. x229*x76 - x230*x86 - x231*x91 - x232*x96 - x233*x101 - x234*x106 - x235*
      x111 - x236*x116 - x237*x121 - x238*x126 - 3*x9 - 8*x22 - 10*x35
       - 893*x239 - 810*x240 - 757*x241 - 1016*x242 =E= 0;

e64.. x229*x77 - x230*x87 - x231*x92 - x232*x97 - x233*x102 - x234*x107 - x235*
      x112 - x236*x117 - x237*x122 - x238*x127 - 3*x9 - 9*x22 - 849*x239
       - 968*x240 - 545*x241 - 953*x242 =E= 0;

e65.. x229*x78 - x230*x88 - x231*x93 - x232*x98 - x233*x103 - x234*x108 - x235*
      x113 - x236*x118 - x237*x123 - x238*x128 - 8*x9 - 10*x22 - 3*x35
       - 947*x239 - 481*x240 - 785*x241 - 473*x242 =E= 0;

e66.. x229*x79 - x230*x89 - x231*x94 - x232*x99 - x233*x104 - x234*x109 - x235*
      x114 - x236*x119 - x237*x124 - x238*x129 - 8*x9 - 2*x22 - 9*x35
       - 613*x239 - 771*x240 - 689*x241 - 971*x242 =E= 0;

e67.. x229*x80 - x230*x90 - x231*x95 - x232*x100 - x233*x105 - x234*x110 - x235
      *x115 - x236*x120 - x237*x125 - x238*x130 - 4*x9 - 4*x22 - 8*x35
       - 440*x239 - 998*x240 - 986*x241 - 620*x242 =E= 0;

e68.. x243*x81 - x244*x86 - x245*x91 - x246*x96 - x247*x101 - x248*x106 - x249*
      x111 - x250*x116 - x251*x121 - x252*x126 - 3*x10 - 8*x23 - 10*x36
       - 893*x253 - 810*x254 - 757*x255 - 1016*x256 =E= 0;

e69.. x243*x82 - x244*x87 - x245*x92 - x246*x97 - x247*x102 - x248*x107 - x249*
      x112 - x250*x117 - x251*x122 - x252*x127 - 3*x10 - 9*x23 - 849*x253
       - 968*x254 - 545*x255 - 953*x256 =E= 0;

e70.. x243*x83 - x244*x88 - x245*x93 - x246*x98 - x247*x103 - x248*x108 - x249*
      x113 - x250*x118 - x251*x123 - x252*x128 - 8*x10 - 10*x23 - 3*x36
       - 947*x253 - 481*x254 - 785*x255 - 473*x256 =E= 0;

e71.. x243*x84 - x244*x89 - x245*x94 - x246*x99 - x247*x104 - x248*x109 - x249*
      x114 - x250*x119 - x251*x124 - x252*x129 - 8*x10 - 2*x23 - 9*x36
       - 613*x253 - 771*x254 - 689*x255 - 971*x256 =E= 0;

e72.. x243*x85 - x244*x90 - x245*x95 - x246*x100 - x247*x105 - x248*x110 - x249
      *x115 - x250*x120 - x251*x125 - x252*x130 - 4*x10 - 4*x23 - 8*x36
       - 440*x253 - 998*x254 - 986*x255 - 620*x256 =E= 0;

e73.. (-x257*x86) - x258*x91 - x259*x96 - x260*x101 - x261*x106 - x262*x111 - 
      x263*x116 - x264*x121 - x265*x126 - 3*x11 - 8*x24 - 10*x37 - 893*x266
       - 810*x267 - 757*x268 - 1016*x269 =G= -75555;

e74.. (-x257*x87) - x258*x92 - x259*x97 - x260*x102 - x261*x107 - x262*x112 - 
      x263*x117 - x264*x122 - x265*x127 - 3*x11 - 9*x24 - 849*x266 - 968*x267
       - 545*x268 - 953*x269 =G= -52440;

e75.. (-x257*x88) - x258*x93 - x259*x98 - x260*x103 - x261*x108 - x262*x113 - 
      x263*x118 - x264*x123 - x265*x128 - 8*x11 - 10*x24 - 3*x37 - 947*x266
       - 481*x267 - 785*x268 - 473*x269 =G= -31970;

e76.. (-x257*x89) - x258*x94 - x259*x99 - x260*x104 - x261*x109 - x262*x114 - 
      x263*x119 - x264*x124 - x265*x129 - 8*x11 - 2*x24 - 9*x37 - 613*x266
       - 771*x267 - 689*x268 - 971*x269 =G= -60720;

e77.. (-x257*x90) - x258*x95 - x259*x100 - x260*x105 - x261*x110 - x262*x115 - 
      x263*x120 - x264*x125 - x265*x130 - 4*x11 - 4*x24 - 8*x37 - 440*x266
       - 998*x267 - 986*x268 - 620*x269 =G= -27600;

e78.. (-x270*x86) - x271*x91 - x272*x96 - x273*x101 - x274*x106 - x275*x111 - 
      x276*x116 - x277*x121 - x278*x126 - 3*x12 - 8*x25 - 10*x38 - 893*x279
       - 810*x280 - 757*x281 - 1016*x282 =G= -1275;

e79.. (-x270*x87) - x271*x92 - x272*x97 - x273*x102 - x274*x107 - x275*x112 - 
      x276*x117 - x277*x122 - x278*x127 - 3*x12 - 9*x25 - 849*x279 - 968*x280
       - 545*x281 - 953*x282 =G= -46155;

e80.. (-x270*x88) - x271*x93 - x272*x98 - x273*x103 - x274*x108 - x275*x113 - 
      x276*x118 - x277*x123 - x278*x128 - 8*x12 - 10*x25 - 3*x38 - 947*x279
       - 481*x280 - 785*x281 - 473*x282 =G= -23460;

e81.. (-x270*x89) - x271*x94 - x272*x99 - x273*x104 - x274*x109 - x275*x114 - 
      x276*x119 - x277*x124 - x278*x129 - 8*x12 - 2*x25 - 9*x38 - 613*x279
       - 771*x280 - 689*x281 - 971*x282 =G= -36210;

e82.. (-x270*x90) - x271*x95 - x272*x100 - x273*x105 - x274*x110 - x275*x115 - 
      x276*x120 - x277*x125 - x278*x130 - 4*x12 - 4*x25 - 8*x38 - 440*x279
       - 998*x280 - 986*x281 - 620*x282 =G= -36720;

e83.. (-x283*x86) - x284*x91 - x285*x96 - x286*x101 - x287*x106 - x288*x111 - 
      x289*x116 - x290*x121 - x291*x126 - 3*x13 - 8*x26 - 10*x39 - 893*x292
       - 810*x293 - 757*x294 - 1016*x295 =G= -70490;

e84.. (-x283*x87) - x284*x92 - x285*x97 - x286*x102 - x287*x107 - x288*x112 - 
      x289*x117 - x290*x122 - x291*x127 - 3*x13 - 9*x26 - 849*x292 - 968*x293
       - 545*x294 - 953*x295 =G= -8360;

e85.. (-x283*x88) - x284*x93 - x285*x98 - x286*x103 - x287*x108 - x288*x113 - 
      x289*x118 - x290*x123 - x291*x128 - 8*x13 - 10*x26 - 3*x39 - 947*x292
       - 481*x293 - 785*x294 - 473*x295 =G= -18715;

e86.. (-x283*x89) - x284*x94 - x285*x99 - x286*x104 - x287*x109 - x288*x114 - 
      x289*x119 - x290*x124 - x291*x129 - 8*x13 - 2*x26 - 9*x39 - 613*x292
       - 771*x293 - 689*x294 - 971*x295 =G= -32395;

e87.. (-x283*x90) - x284*x95 - x285*x100 - x286*x105 - x287*x110 - x288*x115 - 
      x289*x120 - x290*x125 - x291*x130 - 4*x13 - 4*x26 - 8*x39 - 440*x292
       - 998*x293 - 986*x294 - 620*x295 =G= -57095;

e88.. (-x296*x86) - x297*x91 - x298*x96 - x299*x101 - x300*x106 - x301*x111 - 
      x302*x116 - x303*x121 - x304*x126 - 3*x14 - 8*x27 - 10*x40 - 893*x305
       - 810*x306 - 757*x307 - 1016*x308 =G= -75040;

e89.. (-x296*x87) - x297*x92 - x298*x97 - x299*x102 - x300*x107 - x301*x112 - 
      x302*x117 - x303*x122 - x304*x127 - 3*x14 - 9*x27 - 849*x305 - 968*x306
       - 545*x307 - 953*x308 =G= -75760;

e90.. (-x296*x88) - x297*x93 - x298*x98 - x299*x103 - x300*x108 - x301*x113 - 
      x302*x118 - x303*x123 - x304*x128 - 8*x14 - 10*x27 - 3*x40 - 947*x305
       - 481*x306 - 785*x307 - 473*x308 =G= -19920;

e91.. (-x296*x89) - x297*x94 - x298*x99 - x299*x104 - x300*x109 - x301*x114 - 
      x302*x119 - x303*x124 - x304*x129 - 8*x14 - 2*x27 - 9*x40 - 613*x305
       - 771*x306 - 689*x307 - 971*x308 =G= -76320;

e92.. (-x296*x90) - x297*x95 - x298*x100 - x299*x105 - x300*x110 - x301*x115 - 
      x302*x120 - x303*x125 - x304*x130 - 4*x14 - 4*x27 - 8*x40 - 440*x305
       - 998*x306 - 986*x307 - 620*x308 =G= -40720;

e93.. x131*x41 - x131*x86 =E= -105592;

e94.. x131*x42 - x131*x87 =E= -15276;

e95.. x131*x43 - x131*x88 =E= -24656;

e96.. x131*x44 - x131*x89 =E= -22646;

e97.. x131*x45 - x131*x90 =E= -7236;

e98.. x145*x46 - x145*x91 =E= -35520;

e99.. x145*x47 - x145*x92 =E= -26492;

e100.. x145*x48 - x145*x93 =E= -9324;

e101.. x145*x49 - x145*x94 =E= -39516;

e102.. x145*x50 - x145*x95 =E= -31302;

e103.. x159*x51 - x159*x96 =E= -13156;

e104.. x159*x52 - x159*x97 =E= -13468;

e105.. x159*x53 - x159*x98 =E= -5642;

e106.. x159*x54 - x159*x99 =E= -15184;

e107.. x159*x55 - x159*x100 =E= -12766;

e108.. x173*x56 - x173*x101 =E= -52712;

e109.. x173*x57 - x173*x102 =E= -33088;

e110.. x173*x58 - x173*x103 =E= -59048;

e111.. x173*x59 - x173*x104 =E= -86328;

e112.. x173*x60 - x173*x105 =E= -53944;

e113.. x187*x61 - x187*x106 =E= -108400;

e114.. x187*x62 - x187*x107 =E= -43200;

e115.. x187*x63 - x187*x108 =E= -56700;

e116.. x187*x64 - x187*x109 =E= -9900;

e117.. x187*x65 - x187*x110 =E= -25100;

e118.. x201*x66 - x201*x111 =E= -6050;

e119.. x201*x67 - x201*x112 =E= -31900;

e120.. x201*x68 - x201*x113 =E= -29700;

e121.. x201*x69 - x201*x114 =E= -24310;

e122.. x201*x70 - x201*x115 =E= -9680;

e123.. x215*x71 - x215*x116 =E= -6750;

e124.. x215*x72 - x215*x117 =E= -15500;

e125.. x215*x73 - x215*x118 =E= -15950;

e126.. x215*x74 - x215*x119 =E= -28400;

e127.. x215*x75 - x215*x120 =E= -5800;

e128.. x229*x76 - x229*x121 =E= -116550;

e129.. x229*x77 - x229*x122 =E= -70938;

e130.. x229*x78 - x229*x123 =E= -59346;

e131.. x229*x79 - x229*x124 =E= -15624;

e132.. x229*x80 - x229*x125 =E= -26082;

e133.. x243*x81 - x243*x126 =E= -30624;

e134.. x243*x82 - x243*x127 =E= -27492;

e135.. x243*x83 - x243*x128 =E= -10904;

e136.. x243*x84 - x243*x129 =E= -22852;

e137.. x243*x85 - x243*x130 =E= -6612;

* set non-default bounds
x2.up = 100000;
x3.up = 100000;
x4.up = 100000;
x5.up = 100000;
x6.up = 100000;
x7.up = 100000;
x8.up = 100000;
x9.up = 100000;
x10.up = 100000;
x11.up = 100000;
x12.up = 100000;
x13.up = 100000;
x14.up = 100000;
x15.up = 100000;
x16.up = 100000;
x17.up = 100000;
x18.up = 100000;
x19.up = 100000;
x20.up = 100000;
x21.up = 100000;
x22.up = 100000;
x23.up = 100000;
x24.up = 100000;
x25.up = 100000;
x26.up = 100000;
x27.up = 100000;
x28.up = 100000;
x29.up = 100000;
x30.up = 100000;
x31.up = 100000;
x32.up = 100000;
x33.up = 100000;
x34.up = 100000;
x35.up = 100000;
x36.up = 100000;
x37.up = 100000;
x38.up = 100000;
x39.up = 100000;
x40.up = 100000;
x41.up = 279;
x42.up = 532;
x43.up = 86;
x44.up = 952;
x45.up = 178;
x46.up = 700;
x47.up = 827;
x48.up = 272;
x49.up = 589;
x50.up = 619;
x51.up = 400;
x52.up = 460;
x53.up = 710;
x54.up = 514;
x55.up = 590;
x56.up = 514;
x57.up = 540;
x58.up = 328;
x59.up = 9;
x60.up = 277;
x61.up = 85;
x62.up = 541;
x63.up = 227;
x64.up = 825;
x65.up = 111;
x66.up = 900;
x67.up = 323;
x68.up = 549;
x69.up = 213;
x70.up = 27;
x71.up = 805;
x72.up = 871;
x73.up = 101;
x74.up = 377;
x75.up = 512;
x76.up = 272;
x77.up = 46;
x78.up = 636;
x79.up = 933;
x80.up = 413;
x81.up = 233;
x82.up = 279;
x83.up = 760;
x84.up = 516;
x85.up = 178;
x86.up = 1067;
x87.up = 646;
x88.up = 270;
x89.up = 1121;
x90.up = 232;
x91.up = 1180;
x92.up = 1185;
x93.up = 398;
x94.up = 1123;
x95.up = 1042;
x96.up = 906;
x97.up = 978;
x98.up = 927;
x99.up = 1098;
x100.up = 1081;
x101.up = 1113;
x102.up = 916;
x103.up = 999;
x104.up = 990;
x105.up = 890;
x106.up = 1169;
x107.up = 973;
x108.up = 794;
x109.up = 924;
x110.up = 362;
x111.up = 1010;
x112.up = 903;
x113.up = 1089;
x114.up = 655;
x115.up = 203;
x116.up = 940;
x117.up = 1181;
x118.up = 420;
x119.up = 945;
x120.up = 628;
x121.up = 1197;
x122.up = 609;
x123.up = 1107;
x124.up = 1057;
x125.up = 620;
x126.up = 761;
x127.up = 753;
x128.up = 948;
x129.up = 910;
x130.up = 292;
x131.up = 134;
x132.up = 100000;
x133.up = 100000;
x134.up = 100000;
x135.up = 100000;
x136.up = 100000;
x137.up = 100000;
x138.up = 100000;
x139.up = 100000;
x140.up = 100000;
x141.up = 100000;
x142.up = 100000;
x143.up = 100000;
x144.up = 100000;
x145.up = 74;
x146.up = 100000;
x147.up = 100000;
x148.up = 100000;
x149.up = 100000;
x150.up = 100000;
x151.up = 100000;
x152.up = 100000;
x153.up = 100000;
x154.up = 100000;
x155.up = 100000;
x156.up = 100000;
x157.up = 100000;
x158.up = 100000;
x159.up = 26;
x160.up = 100000;
x161.up = 100000;
x162.up = 100000;
x163.up = 100000;
x164.up = 100000;
x165.up = 100000;
x166.up = 100000;
x167.up = 100000;
x168.up = 100000;
x169.up = 100000;
x170.up = 100000;
x171.up = 100000;
x172.up = 100000;
x173.up = 88;
x174.up = 100000;
x175.up = 100000;
x176.up = 100000;
x177.up = 100000;
x178.up = 100000;
x179.up = 100000;
x180.up = 100000;
x181.up = 100000;
x182.up = 100000;
x183.up = 100000;
x184.up = 100000;
x185.up = 100000;
x186.up = 100000;
x187.up = 100;
x188.up = 100000;
x189.up = 100000;
x190.up = 100000;
x191.up = 100000;
x192.up = 100000;
x193.up = 100000;
x194.up = 100000;
x195.up = 100000;
x196.up = 100000;
x197.up = 100000;
x198.up = 100000;
x199.up = 100000;
x200.up = 100000;
x201.up = 55;
x202.up = 100000;
x203.up = 100000;
x204.up = 100000;
x205.up = 100000;
x206.up = 100000;
x207.up = 100000;
x208.up = 100000;
x209.up = 100000;
x210.up = 100000;
x211.up = 100000;
x212.up = 100000;
x213.up = 100000;
x214.up = 100000;
x215.up = 50;
x216.up = 100000;
x217.up = 100000;
x218.up = 100000;
x219.up = 100000;
x220.up = 100000;
x221.up = 100000;
x222.up = 100000;
x223.up = 100000;
x224.up = 100000;
x225.up = 100000;
x226.up = 100000;
x227.up = 100000;
x228.up = 100000;
x229.up = 126;
x230.up = 100000;
x231.up = 100000;
x232.up = 100000;
x233.up = 100000;
x234.up = 100000;
x235.up = 100000;
x236.up = 100000;
x237.up = 100000;
x238.up = 100000;
x239.up = 100000;
x240.up = 100000;
x241.up = 100000;
x242.up = 100000;
x243.up = 58;
x244.up = 100000;
x245.up = 100000;
x246.up = 100000;
x247.up = 100000;
x248.up = 100000;
x249.up = 100000;
x250.up = 100000;
x251.up = 100000;
x252.up = 100000;
x253.up = 100000;
x254.up = 100000;
x255.up = 100000;
x256.up = 100000;
x257.up = 100000;
x258.up = 100000;
x259.up = 100000;
x260.up = 100000;
x261.up = 100000;
x262.up = 100000;
x263.up = 100000;
x264.up = 100000;
x265.up = 100000;
x266.up = 100000;
x267.up = 100000;
x268.up = 100000;
x269.up = 100000;
x270.up = 100000;
x271.up = 100000;
x272.up = 100000;
x273.up = 100000;
x274.up = 100000;
x275.up = 100000;
x276.up = 100000;
x277.up = 100000;
x278.up = 100000;
x279.up = 100000;
x280.up = 100000;
x281.up = 100000;
x282.up = 100000;
x283.up = 100000;
x284.up = 100000;
x285.up = 100000;
x286.up = 100000;
x287.up = 100000;
x288.up = 100000;
x289.up = 100000;
x290.up = 100000;
x291.up = 100000;
x292.up = 100000;
x293.up = 100000;
x294.up = 100000;
x295.up = 100000;
x296.up = 100000;
x297.up = 100000;
x298.up = 100000;
x299.up = 100000;
x300.up = 100000;
x301.up = 100000;
x302.up = 100000;
x303.up = 100000;
x304.up = 100000;
x305.up = 100000;
x306.up = 100000;
x307.up = 100000;
x308.up = 100000;
x309.up = 100000;
x310.up = 100000;
x311.up = 100000;
x312.up = 100000;
x313.up = 100000;
x314.up = 100000;
x315.up = 100000;
x316.up = 100000;
x317.up = 100000;
x318.up = 100000;
x319.up = 100000;
x320.up = 100000;
x321.up = 100000;

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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