QPLIB
A Library of Quadratic Programming Instances
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| Formats | gms lp mod qplib |
| Problem type probtype | LCQ |
| Solution point objective value solobjvalue | 797.97715120 (gdx, sol) |
| Solution point infeasibility solinfeasibility | 2.9104e-11 |
| Donor donor | Ruth Misener |
| #Variables nvars | 334 |
| #Binary Variables nbinvars | 0 |
| #Integer Variables nintvars | 0 |
| #Bounded non-binary Variables nboundedvars | 250 |
| #Variables with only one bound nsingleboundedvars | 0 |
| #Nonlinear Variables nnlvars | 250 |
| #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 | 48 |
| #Nonlinear Nonzeros in Objective nobjnlnz | 0 |
| #Quadratic Terms in Objective nobjquadnz | 0 |
| #Square Terms in Objective nobjquaddiagnz | 0 |
| #Constraints ncons | 156 |
| #Linear Constraints nlincons | 24 |
| #Quadratic Constraints nquadcons | 132 |
| #Diagonal Quadratic Constraints ndiagquadcons | 0 |
| Constraints curvature conscurvature | indefinite |
| #Convex Nonlinear Constraints nconvexnlcons | 0 |
| #Concave Nonlinear Constraints nconcavenlcons | 0 |
| #Indefinite Nonlinear Constraints nindefinitenlcons | 132 |
| #Nonzeros in Jacobian njacobiannz | 2468 |
| #Nonlinear Nonzeros in Jacobian njacobiannlnz | 1740 |
| #Nonzeros in (Upper-Left) Hessian of Lagrangian nlaghessiannz | 1680 |
| #Nonzeros in Diagonal of Hessian of Lagrangian nlaghessiandiagnz | 0 |
| #Blocks in Hessian of Lagrangian nlaghessianblocks | 10 |
| Minimal blocksize in Hessian of Lagrangian laghessianminblocksize | 25 |
| Maximal blocksize in Hessian of Lagrangian laghessianmaxblocksize | 25 |
| Average blocksize in Hessian of Lagrangian laghessianavgblocksize | 25.0 |
| Sparsity Jacobian |  |
| Sparsity Lag. Hessian |  |
QPLIB_2819.gms
$offlisting
*
* Equation counts
* Total E G L N X C B
* 157 145 12 0 0 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 335 335 0 0 0 0 0 0
* FX 0 0 0 0 0 0 0 0
*
* Nonzero counts
* Total const NL DLL
* 2517 777 1740 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,x322,x323
,x324,x325,x326,x327,x328,x329,x330,x331,x332,x333,x334,x335;
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,x322
,x323,x324,x325,x326,x327,x328,x329,x330,x331,x332,x333,x334,x335;
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;
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 + x41 + x42 + x43 + x44 + x45 + x46 + x47 + x48 + x49
=E= 0;
e2.. - x2 - x14 - x26 - x38 + x170 - x171 - x172 - x173 - x174 - x175 - x176
- x177 - x178 - x179 - x180 - x181 - x182 =E= 0;
e3.. - x3 - x15 - x27 - x39 + x183 - x184 - x185 - x186 - x187 - x188 - x189
- x190 - x191 - x192 - x193 - x194 - x195 =E= 0;
e4.. - x4 - x16 - x28 - x40 + x196 - x197 - x198 - x199 - x200 - x201 - x202
- x203 - x204 - x205 - x206 - x207 - x208 =E= 0;
e5.. - x5 - x17 - x29 - x41 + x209 - x210 - x211 - x212 - x213 - x214 - x215
- x216 - x217 - x218 - x219 - x220 - x221 =E= 0;
e6.. - x6 - x18 - x30 - x42 + x222 - x223 - x224 - x225 - x226 - x227 - x228
- x229 - x230 - x231 - x232 - x233 - x234 =E= 0;
e7.. - x7 - x19 - x31 - x43 + x235 - x236 - x237 - x238 - x239 - x240 - x241
- x242 - x243 - x244 - x245 - x246 - x247 =E= 0;
e8.. - x8 - x20 - x32 - x44 + x248 - x249 - x250 - x251 - x252 - x253 - x254
- x255 - x256 - x257 - x258 - x259 - x260 =E= 0;
e9.. - x9 - x21 - x33 - x45 + x261 - x262 - x263 - x264 - x265 - x266 - x267
- x268 - x269 - x270 - x271 - x272 - x273 =E= 0;
e10.. - x10 - x22 - x34 - x46 + x274 - x275 - x276 - x277 - x278 - x279 - x280
- x281 - x282 - x283 - x284 - x285 - x286 =E= 0;
e11.. - x11 - x23 - x35 - x47 + x287 - x288 - x289 - x290 - x291 - x292 - x293
- x294 - x295 - x296 - x297 - x298 - x299 =E= 0;
e12.. - x12 - x24 - x36 - x48 - x300 - x301 - x302 - x303 - x304 - x305 - x306
- x307 - x308 - x309 - x310 - x311 =E= -185;
e13.. - x13 - x25 - x37 - x49 - x312 - x313 - x314 - x315 - x316 - x317 - x318
- x319 - x320 - x321 - x322 - x323 =E= -95;
e14.. x170 - x171 - x184 - x197 - x210 - x223 - x236 - x249 - x262 - x275
- x288 - x300 - x312 - x324 =E= 0;
e15.. - x172 + x183 - x185 - x198 - x211 - x224 - x237 - x250 - x263 - x276
- x289 - x301 - x313 - x325 =E= 0;
e16.. - x173 - x186 + x196 - x199 - x212 - x225 - x238 - x251 - x264 - x277
- x290 - x302 - x314 - x326 =E= 0;
e17.. - x174 - x187 - x200 + x209 - x213 - x226 - x239 - x252 - x265 - x278
- x291 - x303 - x315 - x327 =E= 0;
e18.. - x175 - x188 - x201 - x214 + x222 - x227 - x240 - x253 - x266 - x279
- x292 - x304 - x316 - x328 =E= 0;
e19.. - x176 - x189 - x202 - x215 - x228 + x235 - x241 - x254 - x267 - x280
- x293 - x305 - x317 - x329 =E= 0;
e20.. - x177 - x190 - x203 - x216 - x229 - x242 + x248 - x255 - x268 - x281
- x294 - x306 - x318 - x330 =E= 0;
e21.. - x178 - x191 - x204 - x217 - x230 - x243 - x256 + x261 - x269 - x282
- x295 - x307 - x319 - x331 =E= 0;
e22.. - x179 - x192 - x205 - x218 - x231 - x244 - x257 - x270 + x274 - x283
- x296 - x308 - x320 - x332 =E= 0;
e23.. - x180 - x193 - x206 - x219 - x232 - x245 - x258 - x271 - x284 + x287
- x297 - x309 - x321 - x333 =E= 0;
e24.. - x181 - x194 - x207 - x220 - x233 - x246 - x259 - x272 - x285 - x298
- x310 - x322 - x334 =E= -185;
e25.. - x182 - x195 - x208 - x221 - x234 - x247 - x260 - x273 - x286 - x299
- x311 - x323 - x335 =E= -95;
e26.. x170*x50 - x171*x110 - x172*x116 - x173*x122 - x174*x128 - x175*x134 -
x176*x140 - x177*x146 - x178*x152 - x179*x158 - x180*x164 - 3*x2 - 4*x14
- 4*x38 - 1000*x181 - 120*x182 =E= 0;
e27.. x170*x51 - x171*x111 - x172*x117 - x173*x123 - x174*x129 - x175*x135 -
x176*x141 - x177*x147 - x178*x153 - x179*x159 - x180*x165 - 5*x2 - 6*x14
- 3*x26 - x38 - 110*x181 - 150*x182 =E= 0;
e28.. x170*x52 - x171*x112 - x172*x118 - x173*x124 - x174*x130 - x175*x136 -
x176*x142 - x177*x148 - x178*x154 - x179*x160 - x180*x166 - 2*x14 - 2*x26
- 2*x38 - 360*x181 - 400*x182 =E= 0;
e29.. x170*x53 - x171*x113 - x172*x119 - x173*x125 - x174*x131 - x175*x137 -
x176*x143 - x177*x149 - x178*x155 - x179*x161 - x180*x167 - 8*x2 - 7*x26
- 3*x38 - 60*x181 - 115*x182 =E= 0;
e30.. x170*x54 - x171*x114 - x172*x120 - x173*x126 - x174*x132 - x175*x138 -
x176*x144 - x177*x150 - x178*x156 - x179*x162 - x180*x168 - 2*x14 - 2*x38
- 678*x181 - 170*x182 =E= 0;
e31.. x170*x55 - x171*x115 - x172*x121 - x173*x127 - x174*x133 - x175*x139 -
x176*x145 - x177*x151 - x178*x157 - x179*x163 - x180*x169 - 4*x2 - 2*x26
- 8*x38 - 50*x181 - 75*x182 =E= 0;
e32.. x183*x56 - x184*x110 - x185*x116 - x186*x122 - x187*x128 - x188*x134 -
x189*x140 - x190*x146 - x191*x152 - x192*x158 - x193*x164 - 3*x3 - 4*x15
- 4*x39 - 1000*x194 - 120*x195 =E= 0;
e33.. x183*x57 - x184*x111 - x185*x117 - x186*x123 - x187*x129 - x188*x135 -
x189*x141 - x190*x147 - x191*x153 - x192*x159 - x193*x165 - 5*x3 - 6*x15
- 3*x27 - x39 - 110*x194 - 150*x195 =E= 0;
e34.. x183*x58 - x184*x112 - x185*x118 - x186*x124 - x187*x130 - x188*x136 -
x189*x142 - x190*x148 - x191*x154 - x192*x160 - x193*x166 - 2*x15 - 2*x27
- 2*x39 - 360*x194 - 400*x195 =E= 0;
e35.. x183*x59 - x184*x113 - x185*x119 - x186*x125 - x187*x131 - x188*x137 -
x189*x143 - x190*x149 - x191*x155 - x192*x161 - x193*x167 - 8*x3 - 7*x27
- 3*x39 - 60*x194 - 115*x195 =E= 0;
e36.. x183*x60 - x184*x114 - x185*x120 - x186*x126 - x187*x132 - x188*x138 -
x189*x144 - x190*x150 - x191*x156 - x192*x162 - x193*x168 - 2*x15 - 2*x39
- 678*x194 - 170*x195 =E= 0;
e37.. x183*x61 - x184*x115 - x185*x121 - x186*x127 - x187*x133 - x188*x139 -
x189*x145 - x190*x151 - x191*x157 - x192*x163 - x193*x169 - 4*x3 - 2*x27
- 8*x39 - 50*x194 - 75*x195 =E= 0;
e38.. x196*x62 - x197*x110 - x198*x116 - x199*x122 - x200*x128 - x201*x134 -
x202*x140 - x203*x146 - x204*x152 - x205*x158 - x206*x164 - 3*x4 - 4*x16
- 4*x40 - 1000*x207 - 120*x208 =E= 0;
e39.. x196*x63 - x197*x111 - x198*x117 - x199*x123 - x200*x129 - x201*x135 -
x202*x141 - x203*x147 - x204*x153 - x205*x159 - x206*x165 - 5*x4 - 6*x16
- 3*x28 - x40 - 110*x207 - 150*x208 =E= 0;
e40.. x196*x64 - x197*x112 - x198*x118 - x199*x124 - x200*x130 - x201*x136 -
x202*x142 - x203*x148 - x204*x154 - x205*x160 - x206*x166 - 2*x16 - 2*x28
- 2*x40 - 360*x207 - 400*x208 =E= 0;
e41.. x196*x65 - x197*x113 - x198*x119 - x199*x125 - x200*x131 - x201*x137 -
x202*x143 - x203*x149 - x204*x155 - x205*x161 - x206*x167 - 8*x4 - 7*x28
- 3*x40 - 60*x207 - 115*x208 =E= 0;
e42.. x196*x66 - x197*x114 - x198*x120 - x199*x126 - x200*x132 - x201*x138 -
x202*x144 - x203*x150 - x204*x156 - x205*x162 - x206*x168 - 2*x16 - 2*x40
- 678*x207 - 170*x208 =E= 0;
e43.. x196*x67 - x197*x115 - x198*x121 - x199*x127 - x200*x133 - x201*x139 -
x202*x145 - x203*x151 - x204*x157 - x205*x163 - x206*x169 - 4*x4 - 2*x28
- 8*x40 - 50*x207 - 75*x208 =E= 0;
e44.. x209*x68 - x210*x110 - x211*x116 - x212*x122 - x213*x128 - x214*x134 -
x215*x140 - x216*x146 - x217*x152 - x218*x158 - x219*x164 - 3*x5 - 4*x17
- 4*x41 - 1000*x220 - 120*x221 =E= 0;
e45.. x209*x69 - x210*x111 - x211*x117 - x212*x123 - x213*x129 - x214*x135 -
x215*x141 - x216*x147 - x217*x153 - x218*x159 - x219*x165 - 5*x5 - 6*x17
- 3*x29 - x41 - 110*x220 - 150*x221 =E= 0;
e46.. x209*x70 - x210*x112 - x211*x118 - x212*x124 - x213*x130 - x214*x136 -
x215*x142 - x216*x148 - x217*x154 - x218*x160 - x219*x166 - 2*x17 - 2*x29
- 2*x41 - 360*x220 - 400*x221 =E= 0;
e47.. x209*x71 - x210*x113 - x211*x119 - x212*x125 - x213*x131 - x214*x137 -
x215*x143 - x216*x149 - x217*x155 - x218*x161 - x219*x167 - 8*x5 - 7*x29
- 3*x41 - 60*x220 - 115*x221 =E= 0;
e48.. x209*x72 - x210*x114 - x211*x120 - x212*x126 - x213*x132 - x214*x138 -
x215*x144 - x216*x150 - x217*x156 - x218*x162 - x219*x168 - 2*x17 - 2*x41
- 678*x220 - 170*x221 =E= 0;
e49.. x209*x73 - x210*x115 - x211*x121 - x212*x127 - x213*x133 - x214*x139 -
x215*x145 - x216*x151 - x217*x157 - x218*x163 - x219*x169 - 4*x5 - 2*x29
- 8*x41 - 50*x220 - 75*x221 =E= 0;
e50.. x222*x74 - x223*x110 - x224*x116 - x225*x122 - x226*x128 - x227*x134 -
x228*x140 - x229*x146 - x230*x152 - x231*x158 - x232*x164 - 3*x6 - 4*x18
- 4*x42 - 1000*x233 - 120*x234 =E= 0;
e51.. x222*x75 - x223*x111 - x224*x117 - x225*x123 - x226*x129 - x227*x135 -
x228*x141 - x229*x147 - x230*x153 - x231*x159 - x232*x165 - 5*x6 - 6*x18
- 3*x30 - x42 - 110*x233 - 150*x234 =E= 0;
e52.. x222*x76 - x223*x112 - x224*x118 - x225*x124 - x226*x130 - x227*x136 -
x228*x142 - x229*x148 - x230*x154 - x231*x160 - x232*x166 - 2*x18 - 2*x30
- 2*x42 - 360*x233 - 400*x234 =E= 0;
e53.. x222*x77 - x223*x113 - x224*x119 - x225*x125 - x226*x131 - x227*x137 -
x228*x143 - x229*x149 - x230*x155 - x231*x161 - x232*x167 - 8*x6 - 7*x30
- 3*x42 - 60*x233 - 115*x234 =E= 0;
e54.. x222*x78 - x223*x114 - x224*x120 - x225*x126 - x226*x132 - x227*x138 -
x228*x144 - x229*x150 - x230*x156 - x231*x162 - x232*x168 - 2*x18 - 2*x42
- 678*x233 - 170*x234 =E= 0;
e55.. x222*x79 - x223*x115 - x224*x121 - x225*x127 - x226*x133 - x227*x139 -
x228*x145 - x229*x151 - x230*x157 - x231*x163 - x232*x169 - 4*x6 - 2*x30
- 8*x42 - 50*x233 - 75*x234 =E= 0;
e56.. x235*x80 - x236*x110 - x237*x116 - x238*x122 - x239*x128 - x240*x134 -
x241*x140 - x242*x146 - x243*x152 - x244*x158 - x245*x164 - 3*x7 - 4*x19
- 4*x43 - 1000*x246 - 120*x247 =E= 0;
e57.. x235*x81 - x236*x111 - x237*x117 - x238*x123 - x239*x129 - x240*x135 -
x241*x141 - x242*x147 - x243*x153 - x244*x159 - x245*x165 - 5*x7 - 6*x19
- 3*x31 - x43 - 110*x246 - 150*x247 =E= 0;
e58.. x235*x82 - x236*x112 - x237*x118 - x238*x124 - x239*x130 - x240*x136 -
x241*x142 - x242*x148 - x243*x154 - x244*x160 - x245*x166 - 2*x19 - 2*x31
- 2*x43 - 360*x246 - 400*x247 =E= 0;
e59.. x235*x83 - x236*x113 - x237*x119 - x238*x125 - x239*x131 - x240*x137 -
x241*x143 - x242*x149 - x243*x155 - x244*x161 - x245*x167 - 8*x7 - 7*x31
- 3*x43 - 60*x246 - 115*x247 =E= 0;
e60.. x235*x84 - x236*x114 - x237*x120 - x238*x126 - x239*x132 - x240*x138 -
x241*x144 - x242*x150 - x243*x156 - x244*x162 - x245*x168 - 2*x19 - 2*x43
- 678*x246 - 170*x247 =E= 0;
e61.. x235*x85 - x236*x115 - x237*x121 - x238*x127 - x239*x133 - x240*x139 -
x241*x145 - x242*x151 - x243*x157 - x244*x163 - x245*x169 - 4*x7 - 2*x31
- 8*x43 - 50*x246 - 75*x247 =E= 0;
e62.. x248*x86 - x249*x110 - x250*x116 - x251*x122 - x252*x128 - x253*x134 -
x254*x140 - x255*x146 - x256*x152 - x257*x158 - x258*x164 - 3*x8 - 4*x20
- 4*x44 - 1000*x259 - 120*x260 =E= 0;
e63.. x248*x87 - x249*x111 - x250*x117 - x251*x123 - x252*x129 - x253*x135 -
x254*x141 - x255*x147 - x256*x153 - x257*x159 - x258*x165 - 5*x8 - 6*x20
- 3*x32 - x44 - 110*x259 - 150*x260 =E= 0;
e64.. x248*x88 - x249*x112 - x250*x118 - x251*x124 - x252*x130 - x253*x136 -
x254*x142 - x255*x148 - x256*x154 - x257*x160 - x258*x166 - 2*x20 - 2*x32
- 2*x44 - 360*x259 - 400*x260 =E= 0;
e65.. x248*x89 - x249*x113 - x250*x119 - x251*x125 - x252*x131 - x253*x137 -
x254*x143 - x255*x149 - x256*x155 - x257*x161 - x258*x167 - 8*x8 - 7*x32
- 3*x44 - 60*x259 - 115*x260 =E= 0;
e66.. x248*x90 - x249*x114 - x250*x120 - x251*x126 - x252*x132 - x253*x138 -
x254*x144 - x255*x150 - x256*x156 - x257*x162 - x258*x168 - 2*x20 - 2*x44
- 678*x259 - 170*x260 =E= 0;
e67.. x248*x91 - x249*x115 - x250*x121 - x251*x127 - x252*x133 - x253*x139 -
x254*x145 - x255*x151 - x256*x157 - x257*x163 - x258*x169 - 4*x8 - 2*x32
- 8*x44 - 50*x259 - 75*x260 =E= 0;
e68.. x261*x92 - x262*x110 - x263*x116 - x264*x122 - x265*x128 - x266*x134 -
x267*x140 - x268*x146 - x269*x152 - x270*x158 - x271*x164 - 3*x9 - 4*x21
- 4*x45 - 1000*x272 - 120*x273 =E= 0;
e69.. x261*x93 - x262*x111 - x263*x117 - x264*x123 - x265*x129 - x266*x135 -
x267*x141 - x268*x147 - x269*x153 - x270*x159 - x271*x165 - 5*x9 - 6*x21
- 3*x33 - x45 - 110*x272 - 150*x273 =E= 0;
e70.. x261*x94 - x262*x112 - x263*x118 - x264*x124 - x265*x130 - x266*x136 -
x267*x142 - x268*x148 - x269*x154 - x270*x160 - x271*x166 - 2*x21 - 2*x33
- 2*x45 - 360*x272 - 400*x273 =E= 0;
e71.. x261*x95 - x262*x113 - x263*x119 - x264*x125 - x265*x131 - x266*x137 -
x267*x143 - x268*x149 - x269*x155 - x270*x161 - x271*x167 - 8*x9 - 7*x33
- 3*x45 - 60*x272 - 115*x273 =E= 0;
e72.. x261*x96 - x262*x114 - x263*x120 - x264*x126 - x265*x132 - x266*x138 -
x267*x144 - x268*x150 - x269*x156 - x270*x162 - x271*x168 - 2*x21 - 2*x45
- 678*x272 - 170*x273 =E= 0;
e73.. x261*x97 - x262*x115 - x263*x121 - x264*x127 - x265*x133 - x266*x139 -
x267*x145 - x268*x151 - x269*x157 - x270*x163 - x271*x169 - 4*x9 - 2*x33
- 8*x45 - 50*x272 - 75*x273 =E= 0;
e74.. x274*x98 - x275*x110 - x276*x116 - x277*x122 - x278*x128 - x279*x134 -
x280*x140 - x281*x146 - x282*x152 - x283*x158 - x284*x164 - 3*x10 - 4*x22
- 4*x46 - 1000*x285 - 120*x286 =E= 0;
e75.. x274*x99 - x275*x111 - x276*x117 - x277*x123 - x278*x129 - x279*x135 -
x280*x141 - x281*x147 - x282*x153 - x283*x159 - x284*x165 - 5*x10 - 6*x22
- 3*x34 - x46 - 110*x285 - 150*x286 =E= 0;
e76.. x274*x100 - x275*x112 - x276*x118 - x277*x124 - x278*x130 - x279*x136 -
x280*x142 - x281*x148 - x282*x154 - x283*x160 - x284*x166 - 2*x22 - 2*x34
- 2*x46 - 360*x285 - 400*x286 =E= 0;
e77.. x274*x101 - x275*x113 - x276*x119 - x277*x125 - x278*x131 - x279*x137 -
x280*x143 - x281*x149 - x282*x155 - x283*x161 - x284*x167 - 8*x10 - 7*x34
- 3*x46 - 60*x285 - 115*x286 =E= 0;
e78.. x274*x102 - x275*x114 - x276*x120 - x277*x126 - x278*x132 - x279*x138 -
x280*x144 - x281*x150 - x282*x156 - x283*x162 - x284*x168 - 2*x22 - 2*x46
- 678*x285 - 170*x286 =E= 0;
e79.. x274*x103 - x275*x115 - x276*x121 - x277*x127 - x278*x133 - x279*x139 -
x280*x145 - x281*x151 - x282*x157 - x283*x163 - x284*x169 - 4*x10 - 2*x34
- 8*x46 - 50*x285 - 75*x286 =E= 0;
e80.. x287*x104 - x288*x110 - x289*x116 - x290*x122 - x291*x128 - x292*x134 -
x293*x140 - x294*x146 - x295*x152 - x296*x158 - x297*x164 - 3*x11 - 4*x23
- 4*x47 - 1000*x298 - 120*x299 =E= 0;
e81.. x287*x105 - x288*x111 - x289*x117 - x290*x123 - x291*x129 - x292*x135 -
x293*x141 - x294*x147 - x295*x153 - x296*x159 - x297*x165 - 5*x11 - 6*x23
- 3*x35 - x47 - 110*x298 - 150*x299 =E= 0;
e82.. x287*x106 - x288*x112 - x289*x118 - x290*x124 - x291*x130 - x292*x136 -
x293*x142 - x294*x148 - x295*x154 - x296*x160 - x297*x166 - 2*x23 - 2*x35
- 2*x47 - 360*x298 - 400*x299 =E= 0;
e83.. x287*x107 - x288*x113 - x289*x119 - x290*x125 - x291*x131 - x292*x137 -
x293*x143 - x294*x149 - x295*x155 - x296*x161 - x297*x167 - 8*x11 - 7*x35
- 3*x47 - 60*x298 - 115*x299 =E= 0;
e84.. x287*x108 - x288*x114 - x289*x120 - x290*x126 - x291*x132 - x292*x138 -
x293*x144 - x294*x150 - x295*x156 - x296*x162 - x297*x168 - 2*x23 - 2*x47
- 678*x298 - 170*x299 =E= 0;
e85.. x287*x109 - x288*x115 - x289*x121 - x290*x127 - x291*x133 - x292*x139 -
x293*x145 - x294*x151 - x295*x157 - x296*x163 - x297*x169 - 4*x11 - 2*x35
- 8*x47 - 50*x298 - 75*x299 =E= 0;
e86.. (-x300*x110) - x301*x116 - x302*x122 - x303*x128 - x304*x134 - x305*x140
- x306*x146 - x307*x152 - x308*x158 - x309*x164 - 3*x12 - 4*x24 - 4*x48
- 1000*x310 - 120*x311 =G= -64750;
e87.. (-x300*x111) - x301*x117 - x302*x123 - x303*x129 - x304*x135 - x305*x141
- x306*x147 - x307*x153 - x308*x159 - x309*x165 - 5*x12 - 6*x24 - 3*x36
- x48 - 110*x310 - 150*x311 =G= -8880;
e88.. (-x300*x112) - x301*x118 - x302*x124 - x303*x130 - x304*x136 - x305*x142
- x306*x148 - x307*x154 - x308*x160 - x309*x166 - 2*x24 - 2*x36 - 2*x48
- 360*x310 - 400*x311 =G= -48100;
e89.. (-x300*x113) - x301*x119 - x302*x125 - x303*x131 - x304*x137 - x305*x143
- x306*x149 - x307*x155 - x308*x161 - x309*x167 - 8*x12 - 7*x36 - 3*x48
- 60*x310 - 115*x311 =G= -3885;
e90.. (-x300*x114) - x301*x120 - x302*x126 - x303*x132 - x304*x138 - x305*x144
- x306*x150 - x307*x156 - x308*x162 - x309*x168 - 2*x24 - 2*x48
- 678*x310 - 170*x311 =G= -51430;
e91.. (-x300*x115) - x301*x121 - x302*x127 - x303*x133 - x304*x139 - x305*x145
- x306*x151 - x307*x157 - x308*x163 - x309*x169 - 4*x12 - 2*x36 - 8*x48
- 50*x310 - 75*x311 =G= -2220;
e92.. (-x312*x110) - x313*x116 - x314*x122 - x315*x128 - x316*x134 - x317*x140
- x318*x146 - x319*x152 - x320*x158 - x321*x164 - 3*x13 - 4*x25 - 4*x49
- 1000*x322 - 120*x323 =G= -1900;
e93.. (-x312*x111) - x313*x117 - x314*x123 - x315*x129 - x316*x135 - x317*x141
- x318*x147 - x319*x153 - x320*x159 - x321*x165 - 5*x13 - 6*x25 - 3*x37
- x49 - 110*x322 - 150*x323 =G= -4750;
e94.. (-x312*x112) - x313*x118 - x314*x124 - x315*x130 - x316*x136 - x317*x142
- x318*x148 - x319*x154 - x320*x160 - x321*x166 - 2*x25 - 2*x37 - 2*x49
- 360*x322 - 400*x323 =G= -9500;
e95.. (-x312*x113) - x313*x119 - x314*x125 - x315*x131 - x316*x137 - x317*x143
- x318*x149 - x319*x155 - x320*x161 - x321*x167 - 8*x13 - 7*x37 - 3*x49
- 60*x322 - 115*x323 =G= -2850;
e96.. (-x312*x114) - x313*x120 - x314*x126 - x315*x132 - x316*x138 - x317*x144
- x318*x150 - x319*x156 - x320*x162 - x321*x168 - 2*x25 - 2*x49
- 678*x322 - 170*x323 =G= -6650;
e97.. (-x312*x115) - x313*x121 - x314*x127 - x315*x133 - x316*x139 - x317*x145
- x318*x151 - x319*x157 - x320*x163 - x321*x169 - 4*x13 - 2*x37 - 8*x49
- 50*x322 - 75*x323 =G= -1900;
e98.. x170*x50 - x170*x110 =E= -3196;
e99.. x170*x51 - x170*x111 =E= -11832;
e100.. x170*x52 - x170*x112 =E= -8364;
e101.. x170*x53 - x170*x113 =E= -136;
e102.. x170*x54 - x170*x114 =E= -5712;
e103.. x170*x55 - x170*x115 =E= -3400;
e104.. x183*x56 - x183*x116 =E= -9250;
e105.. x183*x57 - x183*x117 =E= -7030;
e106.. x183*x58 - x183*x118 =E= -4070;
e107.. x183*x59 - x183*x119 =E= -184556;
e108.. x183*x60 - x183*x120 =E= -1924;
e109.. x183*x61 - x183*x121 =E= -7252;
e110.. x196*x62 - x196*x122 =E= -10080;
e111.. x196*x63 - x196*x123 =E= -4914;
e112.. x196*x64 - x196*x124 =E= -46242;
e113.. x196*x65 - x196*x125 =E= -5418;
e114.. x196*x66 - x196*x126 =E= -16506;
e115.. x196*x67 - x196*x127 =E= -4284;
e116.. x209*x68 - x209*x128 =E= -2376;
e117.. x209*x69 - x209*x129 =E= -30096;
e118.. x209*x70 - x209*x130 =E= -26840;
e119.. x209*x71 - x209*x131 =E= -35904;
e120.. x209*x72 - x209*x132 =E= -11880;
e121.. x209*x73 - x209*x133 =E= -18568;
e122.. x222*x74 - x222*x134 =E= -50000;
e123.. x222*x75 - x222*x135 =E= -351200;
e124.. x222*x76 - x222*x136 =E= -14000;
e125.. x222*x77 - x222*x137 =E= -3500;
e126.. x222*x78 - x222*x138 =E= -15800;
e127.. x222*x79 - x222*x139 =E= -7800;
e128.. x235*x80 - x235*x140 =E= -4400;
e129.. x235*x81 - x235*x141 =E= -5500;
e130.. x235*x82 - x235*x142 =E= -8250;
e131.. x235*x83 - x235*x143 =E= -3300;
e132.. x235*x84 - x235*x144 =E= -4400;
e133.. x235*x85 - x235*x145 =E= -3300;
e134.. x248*x86 - x248*x146 =E= -2300;
e135.. x248*x87 - x248*x147 =E= -3800;
e136.. x248*x88 - x248*x148 =E= -4100;
e137.. x248*x90 - x248*x150 =E= -20000;
e138.. x248*x91 - x248*x151 =E= -12600;
e139.. x261*x92 - x261*x152 =E= -1300;
e140.. x261*x93 - x261*x153 =E= -2600;
e141.. x261*x94 - x261*x154 =E= -1820;
e142.. x261*x95 - x261*x155 =E= -260000;
e143.. x261*x96 - x261*x156 =E= -2600;
e144.. x261*x97 - x261*x157 =E= -8944;
e145.. x274*x98 - x274*x158 =E= -19600;
e146.. x274*x99 - x274*x159 =E= -29400;
e147.. x274*x100 - x274*x160 =E= -19600;
e148.. x274*x101 - x274*x161 =E= -2646;
e149.. x274*x102 - x274*x162 =E= -12740;
e150.. x274*x103 - x274*x163 =E= -66248;
e151.. x287*x104 - x287*x164 =E= -34500;
e152.. x287*x105 - x287*x165 =E= -4025;
e153.. x287*x106 - x287*x166 =E= -9775;
e154.. x287*x107 - x287*x167 =E= -3450;
e155.. x287*x108 - x287*x168 =E= -62790;
e156.. x287*x109 - x287*x169 =E= -62560;
e157.. x248*x89 - x248*x149 =E= 0;
* 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 = 100000;
x42.up = 100000;
x43.up = 100000;
x44.up = 100000;
x45.up = 100000;
x46.up = 100000;
x47.up = 100000;
x48.up = 100000;
x49.up = 100000;
x50.up = 45;
x51.up = 52;
x52.up = 189;
x53.up = 33;
x54.up = 210;
x55.up = 24;
x56.up = 120;
x57.up = 30;
x58.up = 30;
x59.up = 12234;
x60.up = 98;
x61.up = 656;
x62.up = 142;
x63.up = 420;
x64.up = 200;
x65.up = 13;
x66.up = 637;
x67.up = 24;
x68.up = 20;
x69.up = 25;
x70.up = 15;
x71.up = 25;
x72.up = 454;
x73.up = 256;
x74.up = 350;
x75.up = 48;
x76.up = 260;
x77.up = 21;
x78.up = 278;
x79.up = 12;
x80.up = 20;
x81.up = 50;
x82.up = 100;
x83.up = 30;
x84.up = 70;
x85.up = 20;
x86.up = 45;
x87.up = 52;
x88.up = 189;
x89.up = 33;
x90.up = 210;
x91.up = 24;
x92.up = 120;
x93.up = 30;
x94.up = 30;
x95.up = 12234;
x96.up = 98;
x97.up = 656;
x98.up = 142;
x99.up = 420;
x100.up = 200;
x101.up = 13;
x102.up = 637;
x103.up = 24;
x104.up = 20;
x105.up = 25;
x106.up = 15;
x107.up = 25;
x108.up = 454;
x109.up = 256;
x110.up = 139;
x111.up = 400;
x112.up = 435;
x113.up = 37;
x114.up = 378;
x115.up = 124;
x116.up = 245;
x117.up = 125;
x118.up = 85;
x119.up = 14728;
x120.up = 124;
x121.up = 754;
x122.up = 222;
x123.up = 459;
x124.up = 567;
x125.up = 56;
x126.up = 768;
x127.up = 58;
x128.up = 47;
x129.up = 367;
x130.up = 320;
x131.up = 433;
x132.up = 589;
x133.up = 467;
x134.up = 850;
x135.up = 3560;
x136.up = 400;
x137.up = 56;
x138.up = 436;
x139.up = 90;
x140.up = 100;
x141.up = 150;
x142.up = 250;
x143.up = 90;
x144.up = 150;
x145.up = 80;
x146.up = 68;
x147.up = 90;
x148.up = 230;
x149.up = 33;
x150.up = 410;
x151.up = 150;
x152.up = 170;
x153.up = 130;
x154.up = 100;
x155.up = 22234;
x156.up = 198;
x157.up = 1000;
x158.up = 342;
x159.up = 720;
x160.up = 400;
x161.up = 40;
x162.up = 767;
x163.up = 700;
x164.up = 320;
x165.up = 60;
x166.up = 100;
x167.up = 55;
x168.up = 1000;
x169.up = 800;
x170.up = 34;
x171.up = 100000;
x172.up = 100000;
x173.up = 100000;
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 = 74;
x184.up = 100000;
x185.up = 100000;
x186.up = 100000;
x187.up = 100000;
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 = 126;
x197.up = 100000;
x198.up = 100000;
x199.up = 100000;
x200.up = 100000;
x201.up = 100000;
x202.up = 100000;
x203.up = 100000;
x204.up = 100000;
x205.up = 100000;
x206.up = 100000;
x207.up = 100000;
x208.up = 100000;
x209.up = 88;
x210.up = 100000;
x211.up = 100000;
x212.up = 100000;
x213.up = 100000;
x214.up = 100000;
x215.up = 100000;
x216.up = 100000;
x217.up = 100000;
x218.up = 100000;
x219.up = 100000;
x220.up = 100000;
x221.up = 100000;
x222.up = 100;
x223.up = 100000;
x224.up = 100000;
x225.up = 100000;
x226.up = 100000;
x227.up = 100000;
x228.up = 100000;
x229.up = 100000;
x230.up = 100000;
x231.up = 100000;
x232.up = 100000;
x233.up = 100000;
x234.up = 100000;
x235.up = 55;
x236.up = 100000;
x237.up = 100000;
x238.up = 100000;
x239.up = 100000;
x240.up = 100000;
x241.up = 100000;
x242.up = 100000;
x243.up = 100000;
x244.up = 100000;
x245.up = 100000;
x246.up = 100000;
x247.up = 100000;
x248.up = 100;
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 = 26;
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 = 98;
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 = 115;
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;
x322.up = 100000;
x323.up = 100000;
x324.up = 100000;
x325.up = 100000;
x326.up = 100000;
x327.up = 100000;
x328.up = 100000;
x329.up = 100000;
x330.up = 100000;
x331.up = 100000;
x332.up = 100000;
x333.up = 100000;
x334.up = 100000;
x335.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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