Getting "DUAL_INFEASIBLE" when solving a very simple linear programming problem.
回答済み
Hello!
I am solving a simple LP problem with dual simplex and presolve. I get the model is unbounded but I couldn't see why such a model is unbounded, can it relates to numerical issues? Please help me understand what Gurobi does.
I attached the log and also the content in the .mps file.
Thanks very much in advance.
Kind regards,
Hongyu.
Gurobi Optimizer version 9.5.2 build v9.5.2rc0 (mac64[arm])
Thread count: 8 physical cores, 8 logical processors, using up to 8 threads
Optimize a model with 1 rows, 579 columns and 168 nonzeros
Coefficient statistics:
Matrix range [2e-03, 2e+03]
Objective range [1e+00, 1e+00]
Bounds range [0e+00, 0e+00]
RHS range [3e+08, 3e+08]
Iteration Objective Primal Inf. Dual Inf. Time
0 handle free variables 0sSolved in 0 iterations and 0.00 seconds (0.00 work units)
Unbounded model
NAME
OBJSENSE MAX
ROWS
N OBJ
L R0
COLUMNS
gamma[1] R0 0.396
gamma[2] R0 0.1485
gamma[3] R0 1.98
gamma[4] R0 0.792
gamma[5] R0 1.386
gamma[6] OBJ 0
gamma[7] OBJ 0
gamma[8] OBJ 0
gamma[9] OBJ 0
gamma[10] OBJ 0
gamma[11] OBJ 0
gamma[12] OBJ 0
gamma[13] OBJ 0
gamma[14] OBJ 0
gamma[15] OBJ 0
gamma[16] OBJ 0
gamma[17] OBJ 0
gamma[18] OBJ 0
gamma[19] OBJ 0
gamma[20] OBJ 0
gamma[21] OBJ 0
gamma[22] OBJ 0
gamma[23] OBJ 0
gamma[24] OBJ 0
gamma[25] OBJ 0
gamma[26] OBJ 0
gamma[27] OBJ 0
gamma[28] OBJ 0
gamma[29] OBJ 0
gamma[30] OBJ 0
gamma[31] OBJ 0
gamma[32] OBJ 0
gamma[33] OBJ 0
gamma[34] OBJ 0
gamma[35] OBJ 0
gamma[36] OBJ 0
gamma[37] OBJ 0
gamma[38] R0 0.0608355
gamma[39] R0 3.0351915000000003e+00
gamma[40] R0 0.055638
gamma[41] OBJ 0
gamma[42] OBJ 0
gamma[43] OBJ 0
gamma[44] OBJ 0
gamma[45] OBJ 0
gamma[46] R0 1.1286000000000001e-02
gamma[47] OBJ 0
gamma[48] OBJ 0
gamma[49] OBJ 0
gamma[50] OBJ 0
gamma[51] OBJ 0
gamma[52] OBJ 0
gamma[53] OBJ 0
gamma[54] OBJ 0
gamma[55] OBJ 0
gamma[56] OBJ 0
gamma[57] OBJ 0
gamma[58] OBJ 0
gamma[59] OBJ 0
gamma[60] OBJ 0
gamma[61] OBJ 0
gamma[62] OBJ 0
gamma[63] OBJ 0
gamma[64] OBJ 0
gamma[65] OBJ 0
gamma[66] OBJ 0
gamma[67] OBJ 0
gamma[68] OBJ 0
gamma[69] OBJ 0
gamma[70] OBJ 0
gamma[71] OBJ 0
gamma[72] OBJ 0
gamma[73] OBJ 0
gamma[74] OBJ 0
gamma[75] R0 0.384714
gamma[76] R0 2.5024230000000003e+00
gamma[77] R0 1.3427370000000003e+00
gamma[78] R0 6.7776389999999992e-02
gamma[79] R0 0.104036625
gamma[80] R0 0.23531013
gamma[81] R0 7.2501660000000009e-02
gamma[82] R0 2.1337470000000003e-01
gamma[83] OBJ 0
gamma[84] OBJ 0
gamma[85] OBJ 0
gamma[86] OBJ 0
gamma[87] OBJ 0
gamma[88] OBJ 0
gamma[89] OBJ 0
gamma[90] OBJ 0
gamma[91] OBJ 0
gamma[92] OBJ 0
gamma[93] OBJ 0
gamma[94] OBJ 0
gamma[95] OBJ 0
gamma[96] OBJ 0
gamma[97] OBJ 0
gamma[98] OBJ 0
gamma[99] OBJ 0
gamma[100] OBJ 0
gamma[101] OBJ 0
gamma[102] OBJ 0
gamma[103] OBJ 0
gamma[104] OBJ 0
gamma[105] OBJ 0
gamma[106] OBJ 0
gamma[107] OBJ 0
gamma[108] OBJ 0
gamma[109] OBJ 0
gamma[110] OBJ 0
gamma[111] OBJ 0
gamma[112] OBJ 0
gamma[113] OBJ 0
gamma[114] OBJ 0
gamma[115] OBJ 0
gamma[116] OBJ 0
gamma[117] OBJ 0
gamma[118] OBJ 0
gamma[119] OBJ 0
gamma[120] OBJ 0
gamma[121] OBJ 0
gamma[122] OBJ 0
gamma[123] OBJ 0
gamma[124] OBJ 0
gamma[125] OBJ 0
gamma[126] OBJ 0
gamma[127] OBJ 0
gamma[128] OBJ 0
gamma[129] OBJ 0
gamma[130] OBJ 0
gamma[131] OBJ 0
gamma[132] OBJ 0
gamma[133] OBJ 0
gamma[134] OBJ 0
gamma[135] OBJ 0
gamma[136] OBJ 0
gamma[137] OBJ 0
gamma[138] OBJ 0
gamma[139] OBJ 0
gamma[140] OBJ 0
gamma[141] OBJ 0
gamma[142] OBJ 0
gamma[143] OBJ 0
gamma[144] OBJ 0
gamma[145] OBJ 0
gamma[146] OBJ 0
gamma[147] OBJ 0
gamma[148] OBJ 0
gamma[149] OBJ 0
gamma[150] OBJ 0
gamma[151] OBJ 0
gamma[152] OBJ 0
gamma[153] OBJ 0
gamma[154] OBJ 0
gamma[155] OBJ 0
gamma[156] OBJ 0
gamma[157] OBJ 0
gamma[158] OBJ 0
gamma[159] OBJ 0
gamma[160] OBJ 0
gamma[161] OBJ 0
gamma[162] OBJ 0
gamma[163] OBJ 0
gamma[164] OBJ 0
gamma[165] OBJ 0
gamma[166] OBJ 0
gamma[167] OBJ 0
gamma[168] R0 3.6125100000000004e-01
gamma[169] R0 3.0516750000000004e-01
gamma[170] R0 7.7680350000000009e-01
gamma[171] R0 0.024205995
gamma[172] R0 0.03715569
gamma[173] R0 0.084039615
gamma[174] R0 2.5893450000000002e-02
gamma[175] R0 0.07620525
gamma[176] OBJ 0
gamma[177] OBJ 0
gamma[178] OBJ 0
gamma[179] OBJ 0
gamma[180] OBJ 0
gamma[181] OBJ 0
gamma[182] OBJ 0
gamma[183] OBJ 0
gamma[184] OBJ 0
gamma[185] OBJ 0
gamma[186] OBJ 0
gamma[187] OBJ 0
gamma[188] OBJ 0
gamma[189] OBJ 0
gamma[190] OBJ 0
gamma[191] OBJ 0
gamma[192] OBJ 0
gamma[193] OBJ 0
gamma[194] OBJ 0
gamma[195] OBJ 0
gamma[196] OBJ 0
gamma[197] OBJ 0
gamma[198] OBJ 0
gamma[199] OBJ 0
gamma[200] OBJ 0
gamma[201] OBJ 0
gamma[202] OBJ 0
gamma[203] OBJ 0
gamma[204] OBJ 0
gamma[205] R0 1.5799014
gamma[206] R0 2.9578626
gamma[207] R0 11.085921
gamma[208] R0 9.4886946000000014e-02
gamma[209] R0 0.145650582
gamma[210] R0 2.3531012999999996e+00
gamma[211] R0 1.0150232400000002e-01
gamma[212] R0 2.9872458000000007e-01
gamma[213] OBJ 0
gamma[214] OBJ 0
gamma[215] R0 2.3759999999999998e-01
gamma[216] OBJ 0
gamma[217] OBJ 0
gamma[218] OBJ 0
gamma[219] OBJ 0
gamma[220] OBJ 0
gamma[221] OBJ 0
gamma[222] OBJ 0
gamma[223] R0 0.04257
gamma[224] R0 0.95238
gamma[225] OBJ 0
gamma[226] OBJ 0
gamma[227] OBJ 0
gamma[228] OBJ 0
gamma[229] OBJ 0
gamma[230] OBJ 0
gamma[231] OBJ 0
gamma[232] OBJ 0
gamma[233] OBJ 0
gamma[234] OBJ 0
gamma[235] OBJ 0
gamma[236] OBJ 0
gamma[237] OBJ 0
gamma[238] OBJ 0
gamma[239] R0 0.95634
gamma[240] R0 1.97604
gamma[241] R0 3.4551000000000003e+00
gamma[242] OBJ 0
gamma[243] OBJ 0
gamma[244] R0 0.0016807882905
gamma[245] OBJ 0
gamma[246] R0 1.5241057919999999e-03
gamma[247] R0 0.0792
gamma[248] OBJ 0
gamma[249] OBJ 0
gamma[250] OBJ 0
gamma[251] OBJ 0
gamma[252] OBJ 0
gamma[253] R0 1.7863559999999998e-01
gamma[254] R0 0.4534596
gamma[255] R0 0.206118
gamma[256] R0 0.2473416
gamma[257] R0 2.8856519999999997e-01
gamma[258] R0 0.99
gamma[259] R0 16.85376
gamma[260] R0 24.66387
gamma[261] R0 0.7326
gamma[262] OBJ 0
gamma[263] R0 2.1384000000000003e+00
gamma[264] OBJ 0
gamma[265] R0 1.1285999999999998e+00
gamma[266] R0 2.1770099999999997e+00
gamma[267] OBJ 0
gamma[268] OBJ 0
gamma[269] OBJ 0
gamma[270] OBJ 0
gamma[271] OBJ 0
gamma[272] OBJ 0
gamma[273] OBJ 0
gamma[274] OBJ 0
gamma[275] OBJ 0
gamma[276] OBJ 0
gamma[277] OBJ 0
gamma[278] OBJ 0
gamma[279] OBJ 0
gamma[280] OBJ 0
gamma[281] R0 1.403234118
gamma[282] R0 3.562055838
gamma[283] R0 1.6191162899999996e+00
gamma[284] R0 1.9429395479999998e+00
gamma[285] R0 2.266762806
gamma[286] R0 5.0964546599999991e+01
gamma[287] R0 257.200500744
gamma[288] R0 2.2207665051000004e+03
gamma[289] R0 5.95683
gamma[290] OBJ 0
gamma[291] R0 17.54082
gamma[292] OBJ 0
gamma[293] R0 9.2663999999999991e+00
gamma[294] R0 2.1770099999999997e+00
gamma[295] OBJ 0
gamma[296] OBJ 0
gamma[297] OBJ 0
gamma[298] OBJ 0
gamma[299] OBJ 0
gamma[300] R0 1.1088
gamma[301] R0 7.09434
gamma[302] R0 3.5342999999999997e-01
gamma[303] R0 3.701907
gamma[304] R0 2.8435770000000002e+00
gamma[305] R0 3.3694650000000004e+00
gamma[306] R0 0.122067
gamma[307] R0 0.58212
gamma[308] OBJ 0
gamma[309] OBJ 0
gamma[310] OBJ 0
gamma[311] OBJ 0
gamma[312] OBJ 0
gamma[313] OBJ 0
gamma[314] OBJ 0
gamma[315] OBJ 0
gamma[316] OBJ 0
gamma[317] OBJ 0
gamma[318] OBJ 0
gamma[319] OBJ 0
gamma[320] OBJ 0
gamma[321] R0 0.7465887
gamma[322] R0 1.8951867
gamma[323] R0 0.8614485
gamma[324] R0 1.0337382000000002e+00
gamma[325] R0 1.2060279
gamma[326] R0 4.79952
gamma[327] R0 1.8519930000000002e+01
gamma[328] R0 42.46902
gamma[329] R0 9.3241273464899993e-02
gamma[330] R0 1.4312440430639997e-01
gamma[331] R0 0.3237198247503
gamma[332] R0 0.0997417219392
gamma[333] R0 2.9354277553919994e-01
gamma[334] R0 0.23562
gamma[335] R0 1.1254815000000001e-01
gamma[336] R0 0.28569915
gamma[337] R0 1.2986324999999999e-01
gamma[338] R0 0.1558359
gamma[339] R0 1.8180854999999999e-01
gamma[340] R0 7.22304
gamma[341] R0 33.47586
gamma[342] R0 29.691585
gamma[343] R0 3.6182868479999994e+00
gamma[344] R0 2.2253695199999997e+00
gamma[345] R0 1.6605404639999999e+00
gamma[346] R0 1.5873644159999998e+00
gamma[347] R0 1.0623618719999999e+00
gamma[348] OBJ 0
gamma[349] R0 0.00289575
gamma[350] R0 7.3507500000000014e-03
gamma[351] R0 0.00334125
gamma[352] R0 0.0040095
gamma[353] R0 0.00467775
gamma[354] R0 0.800415
gamma[355] R0 26.49933
gamma[356] R0 21.39786
gamma[357] R0 0.116523
gamma[358] R0 5.2217550000000013e-01
gamma[359] R0 1.78786575
gamma[360] R0 3.1515660000000003e+00
gamma[361] R0 4.92854175
gamma[362] OBJ 0
gamma[363] R0 3.2670495
gamma[364] R0 8.2932794999999988e+00
gamma[365] R0 3.7696725
gamma[366] R0 4.523607
gamma[367] R0 5.2775415
gamma[368] R0 16.4637
gamma[369] R0 17.81505
gamma[370] R0 2.4765839999999997e+01
gamma[371] R0 0.0083268426978
gamma[372] R0 0.0127816186608
gamma[373] R0 0.0289095585966
gamma[374] R0 0.0089073604224
gamma[375] R0 0.0262146196224
gamma[376] OBJ 0
gamma[377] OBJ 0
gamma[378] OBJ 0
gamma[379] OBJ 0
gamma[380] OBJ 0
gamma[381] OBJ 0
gamma[382] OBJ 0
gamma[383] OBJ 0
gamma[384] OBJ 0
gamma[385] OBJ 0
gamma[386] OBJ 0
gamma[387] OBJ 0
gamma[388] OBJ 0
gamma[389] OBJ 0
gamma[390] OBJ 0
gamma[391] OBJ 0
gamma[392] OBJ 0
gamma[393] OBJ 0
gamma[394] OBJ 0
gamma[395] OBJ 0
gamma[396] OBJ 0
gamma[397] OBJ 0
gamma[398] OBJ 0
gamma[399] OBJ 0
gamma[400] OBJ 0
gamma[401] OBJ 0
gamma[402] OBJ 0
gamma[403] OBJ 0
gamma[404] OBJ 0
gamma[405] OBJ 0
gamma[406] OBJ 0
gamma[407] OBJ 0
gamma[408] OBJ 0
gamma[409] OBJ 0
gamma[410] OBJ 0
gamma[411] OBJ 0
gamma[412] OBJ 0
gamma[413] OBJ 0
gamma[414] OBJ 0
gamma[415] OBJ 0
gamma[416] OBJ 0
gamma[417] OBJ 0
gamma[418] OBJ 0
gamma[419] OBJ 0
gamma[420] OBJ 0
gamma[421] OBJ 0
gamma[422] OBJ 0
gamma[423] OBJ 0
gamma[424] OBJ 0
gamma[425] OBJ 0
gamma[426] OBJ 0
gamma[427] OBJ 0
gamma[428] OBJ 0
gamma[429] OBJ 0
gamma[430] OBJ 0
gamma[431] OBJ 0
gamma[432] OBJ 0
gamma[433] OBJ 0
gamma[434] OBJ 0
gamma[435] OBJ 0
gamma[436] OBJ 0
gamma[437] OBJ 0
gamma[438] OBJ 0
gamma[439] OBJ 0
gamma[440] OBJ 0
gamma[441] OBJ 0
gamma[442] OBJ 0
gamma[443] OBJ 0
gamma[444] OBJ 0
gamma[445] OBJ 0
gamma[446] OBJ 0
gamma[447] OBJ 0
gamma[448] OBJ 0
gamma[449] OBJ 0
gamma[450] OBJ 0
gamma[451] OBJ 0
gamma[452] OBJ 0
gamma[453] OBJ 0
gamma[454] OBJ 0
gamma[455] OBJ 0
gamma[456] OBJ 0
gamma[457] OBJ 0
gamma[458] R0 1.6236
gamma[459] OBJ 0
gamma[460] R0 1.386
gamma[461] R0 1.98
gamma[462] R0 0.099
gamma[463] R0 0.3465
gamma[464] R0 1.584
gamma[465] R0 0.297
gamma[466] R0 0.1584
gamma[467] OBJ 0
gamma[468] R0 2.4255
gamma[469] R0 1.188
gamma[470] R0 0.6435
gamma[471] R0 0.594
gamma[472] R0 12.38787
gamma[473] OBJ 0
gamma[474] R0 2.9699999999999998e+00
gamma[475] R0 1.386
gamma[476] R0 5.9399999999999995e+00
gamma[477] R0 5.9399999999999995e+00
gamma[478] R0 5.9399999999999995e+00
gamma[479] R0 5.9399999999999995e+00
gamma[480] R0 10.89
gamma[481] R0 10.89
gamma[482] R0 7.92
gamma[483] R0 0.4059
gamma[484] OBJ 0
gamma[485] OBJ 0
gamma[486] OBJ 0
gamma[487] OBJ 0
gamma[488] OBJ 0
gamma[489] OBJ 0
gamma[490] OBJ 0
gamma[491] OBJ 0
gamma[492] OBJ 0
gamma[493] OBJ 0
gamma[494] OBJ 0
gamma[495] OBJ 0
gamma[496] OBJ 0
gamma[497] OBJ 0
gamma[498] OBJ 0
gamma[499] R0 1.1088
gamma[500] R0 7.09434
gamma[501] R0 3.5342999999999997e-01
gamma[502] R0 3.701907
gamma[503] R0 1.20582
gamma[504] R0 0.092268
gamma[505] OBJ 0
gamma[506] OBJ 0
gamma[507] OBJ 0
gamma[508] OBJ 0
gamma[509] OBJ 0
gamma[510] OBJ 0
gamma[511] OBJ 0
gamma[512] OBJ 0
gamma[513] OBJ 0
gamma[514] OBJ 0
gamma[515] OBJ 0
gamma[516] OBJ 0
gamma[517] OBJ 0
gamma[518] OBJ 0
gamma[519] OBJ 0
gamma[520] OBJ 0
gamma[521] OBJ 0
gamma[522] OBJ 0
gamma[523] OBJ 0
gamma[524] OBJ 0
gamma[525] OBJ 0
gamma[526] OBJ 0
gamma[527] OBJ 0
gamma[528] OBJ 0
gamma[529] OBJ 0
gamma[530] OBJ 0
gamma[531] OBJ 0
gamma[532] OBJ 0
gamma[533] OBJ 0
gamma[534] OBJ 0
gamma[535] OBJ 0
gamma[536] OBJ 0
gamma[537] OBJ 0
gamma[538] OBJ 0
gamma[539] OBJ 0
gamma[540] OBJ 0
gamma[541] OBJ 0
gamma[542] OBJ 0
gamma[543] OBJ 0
gamma[544] OBJ 0
gamma[545] R0 113.949
gamma[546] R0 242.055
gamma[547] R0 249.678
gamma[548] R0 1.8602100000000002e+02
gamma[549] R0 151.866
gamma[550] R0 170.874
gamma[551] R0 2.2779899999999998e+02
gamma[552] OBJ 0
gamma[553] OBJ 0
gamma[554] OBJ 0
gamma[555] OBJ 0
gamma[556] OBJ 0
gamma[557] OBJ 0
gamma[558] OBJ 0
gamma[559] OBJ 0
gamma[560] OBJ 0
gamma[561] OBJ 0
gamma[562] OBJ 0
gamma[563] OBJ 0
gamma[564] OBJ 0
gamma[565] OBJ 0
gamma[566] OBJ 0
gamma[567] OBJ 0
gamma[568] OBJ 0
gamma[569] OBJ 0
gamma[570] OBJ 0
gamma[571] R0 -1.414
gamma[572] R0 -1.01
gamma[573] R0 2.9699999999999997e-02
gamma[574] R0 -630.8864
phi OBJ 1
phi R0 1
c[1] OBJ 0
c[2] OBJ 0
c[3] OBJ 0
c[4] OBJ 0
RHS
RHS1 R0 2.7690580167951173e+08
BOUNDS
MI BND1 gamma[1]
UP BND1 gamma[1] 0
MI BND1 gamma[2]
UP BND1 gamma[2] 0
MI BND1 gamma[3]
UP BND1 gamma[3] 0
MI BND1 gamma[4]
UP BND1 gamma[4] 0
MI BND1 gamma[5]
UP BND1 gamma[5] 0
MI BND1 gamma[6]
UP BND1 gamma[6] 0
MI BND1 gamma[7]
UP BND1 gamma[7] 0
MI BND1 gamma[8]
UP BND1 gamma[8] 0
MI BND1 gamma[9]
UP BND1 gamma[9] 0
MI BND1 gamma[10]
UP BND1 gamma[10] 0
MI BND1 gamma[11]
UP BND1 gamma[11] 0
MI BND1 gamma[12]
UP BND1 gamma[12] 0
MI BND1 gamma[13]
UP BND1 gamma[13] 0
MI BND1 gamma[14]
UP BND1 gamma[14] 0
MI BND1 gamma[15]
UP BND1 gamma[15] 0
MI BND1 gamma[16]
UP BND1 gamma[16] 0
MI BND1 gamma[17]
UP BND1 gamma[17] 0
MI BND1 gamma[18]
UP BND1 gamma[18] 0
MI BND1 gamma[19]
UP BND1 gamma[19] 0
MI BND1 gamma[20]
UP BND1 gamma[20] 0
MI BND1 gamma[21]
UP BND1 gamma[21] 0
MI BND1 gamma[22]
UP BND1 gamma[22] 0
MI BND1 gamma[23]
UP BND1 gamma[23] 0
MI BND1 gamma[24]
UP BND1 gamma[24] 0
MI BND1 gamma[25]
UP BND1 gamma[25] 0
MI BND1 gamma[26]
UP BND1 gamma[26] 0
MI BND1 gamma[27]
UP BND1 gamma[27] 0
MI BND1 gamma[28]
UP BND1 gamma[28] 0
MI BND1 gamma[29]
UP BND1 gamma[29] 0
MI BND1 gamma[30]
UP BND1 gamma[30] 0
MI BND1 gamma[31]
UP BND1 gamma[31] 0
MI BND1 gamma[32]
UP BND1 gamma[32] 0
MI BND1 gamma[33]
UP BND1 gamma[33] 0
MI BND1 gamma[34]
UP BND1 gamma[34] 0
MI BND1 gamma[35]
UP BND1 gamma[35] 0
MI BND1 gamma[36]
UP BND1 gamma[36] 0
MI BND1 gamma[37]
UP BND1 gamma[37] 0
MI BND1 gamma[38]
UP BND1 gamma[38] 0
MI BND1 gamma[39]
UP BND1 gamma[39] 0
MI BND1 gamma[40]
UP BND1 gamma[40] 0
MI BND1 gamma[41]
UP BND1 gamma[41] 0
MI BND1 gamma[42]
UP BND1 gamma[42] 0
MI BND1 gamma[43]
UP BND1 gamma[43] 0
MI BND1 gamma[44]
UP BND1 gamma[44] 0
MI BND1 gamma[45]
UP BND1 gamma[45] 0
MI BND1 gamma[46]
UP BND1 gamma[46] 0
MI BND1 gamma[47]
UP BND1 gamma[47] 0
MI BND1 gamma[48]
UP BND1 gamma[48] 0
MI BND1 gamma[49]
UP BND1 gamma[49] 0
MI BND1 gamma[50]
UP BND1 gamma[50] 0
MI BND1 gamma[51]
UP BND1 gamma[51] 0
MI BND1 gamma[52]
UP BND1 gamma[52] 0
MI BND1 gamma[53]
UP BND1 gamma[53] 0
MI BND1 gamma[54]
UP BND1 gamma[54] 0
MI BND1 gamma[55]
UP BND1 gamma[55] 0
MI BND1 gamma[56]
UP BND1 gamma[56] 0
MI BND1 gamma[57]
UP BND1 gamma[57] 0
MI BND1 gamma[58]
UP BND1 gamma[58] 0
MI BND1 gamma[59]
UP BND1 gamma[59] 0
MI BND1 gamma[60]
UP BND1 gamma[60] 0
MI BND1 gamma[61]
UP BND1 gamma[61] 0
MI BND1 gamma[62]
UP BND1 gamma[62] 0
MI BND1 gamma[63]
UP BND1 gamma[63] 0
MI BND1 gamma[64]
UP BND1 gamma[64] 0
MI BND1 gamma[65]
UP BND1 gamma[65] 0
MI BND1 gamma[66]
UP BND1 gamma[66] 0
MI BND1 gamma[67]
UP BND1 gamma[67] 0
MI BND1 gamma[68]
UP BND1 gamma[68] 0
MI BND1 gamma[69]
UP BND1 gamma[69] 0
MI BND1 gamma[70]
UP BND1 gamma[70] 0
MI BND1 gamma[71]
UP BND1 gamma[71] 0
MI BND1 gamma[72]
UP BND1 gamma[72] 0
MI BND1 gamma[73]
UP BND1 gamma[73] 0
MI BND1 gamma[74]
UP BND1 gamma[74] 0
MI BND1 gamma[75]
UP BND1 gamma[75] 0
MI BND1 gamma[76]
UP BND1 gamma[76] 0
MI BND1 gamma[77]
UP BND1 gamma[77] 0
MI BND1 gamma[78]
UP BND1 gamma[78] 0
MI BND1 gamma[79]
UP BND1 gamma[79] 0
MI BND1 gamma[80]
UP BND1 gamma[80] 0
MI BND1 gamma[81]
UP BND1 gamma[81] 0
MI BND1 gamma[82]
UP BND1 gamma[82] 0
MI BND1 gamma[83]
UP BND1 gamma[83] 0
MI BND1 gamma[84]
UP BND1 gamma[84] 0
MI BND1 gamma[85]
UP BND1 gamma[85] 0
MI BND1 gamma[86]
UP BND1 gamma[86] 0
MI BND1 gamma[87]
UP BND1 gamma[87] 0
MI BND1 gamma[88]
UP BND1 gamma[88] 0
MI BND1 gamma[89]
UP BND1 gamma[89] 0
MI BND1 gamma[90]
UP BND1 gamma[90] 0
MI BND1 gamma[91]
UP BND1 gamma[91] 0
MI BND1 gamma[92]
UP BND1 gamma[92] 0
MI BND1 gamma[93]
UP BND1 gamma[93] 0
MI BND1 gamma[94]
UP BND1 gamma[94] 0
MI BND1 gamma[95]
UP BND1 gamma[95] 0
MI BND1 gamma[96]
UP BND1 gamma[96] 0
MI BND1 gamma[97]
UP BND1 gamma[97] 0
MI BND1 gamma[98]
UP BND1 gamma[98] 0
MI BND1 gamma[99]
UP BND1 gamma[99] 0
MI BND1 gamma[100]
UP BND1 gamma[100] 0
MI BND1 gamma[101]
UP BND1 gamma[101] 0
MI BND1 gamma[102]
UP BND1 gamma[102] 0
MI BND1 gamma[103]
UP BND1 gamma[103] 0
MI BND1 gamma[104]
UP BND1 gamma[104] 0
MI BND1 gamma[105]
UP BND1 gamma[105] 0
MI BND1 gamma[106]
UP BND1 gamma[106] 0
MI BND1 gamma[107]
UP BND1 gamma[107] 0
MI BND1 gamma[108]
UP BND1 gamma[108] 0
MI BND1 gamma[109]
UP BND1 gamma[109] 0
MI BND1 gamma[110]
UP BND1 gamma[110] 0
MI BND1 gamma[111]
UP BND1 gamma[111] 0
MI BND1 gamma[112]
UP BND1 gamma[112] 0
MI BND1 gamma[113]
UP BND1 gamma[113] 0
MI BND1 gamma[114]
UP BND1 gamma[114] 0
MI BND1 gamma[115]
UP BND1 gamma[115] 0
MI BND1 gamma[116]
UP BND1 gamma[116] 0
MI BND1 gamma[117]
UP BND1 gamma[117] 0
MI BND1 gamma[118]
UP BND1 gamma[118] 0
MI BND1 gamma[119]
UP BND1 gamma[119] 0
MI BND1 gamma[120]
UP BND1 gamma[120] 0
MI BND1 gamma[121]
UP BND1 gamma[121] 0
MI BND1 gamma[122]
UP BND1 gamma[122] 0
MI BND1 gamma[123]
UP BND1 gamma[123] 0
MI BND1 gamma[124]
UP BND1 gamma[124] 0
MI BND1 gamma[125]
UP BND1 gamma[125] 0
MI BND1 gamma[126]
UP BND1 gamma[126] 0
MI BND1 gamma[127]
UP BND1 gamma[127] 0
MI BND1 gamma[128]
UP BND1 gamma[128] 0
MI BND1 gamma[129]
UP BND1 gamma[129] 0
MI BND1 gamma[130]
UP BND1 gamma[130] 0
MI BND1 gamma[131]
UP BND1 gamma[131] 0
MI BND1 gamma[132]
UP BND1 gamma[132] 0
MI BND1 gamma[133]
UP BND1 gamma[133] 0
MI BND1 gamma[134]
UP BND1 gamma[134] 0
MI BND1 gamma[135]
UP BND1 gamma[135] 0
MI BND1 gamma[136]
UP BND1 gamma[136] 0
MI BND1 gamma[137]
UP BND1 gamma[137] 0
MI BND1 gamma[138]
UP BND1 gamma[138] 0
MI BND1 gamma[139]
UP BND1 gamma[139] 0
MI BND1 gamma[140]
UP BND1 gamma[140] 0
MI BND1 gamma[141]
UP BND1 gamma[141] 0
MI BND1 gamma[142]
UP BND1 gamma[142] 0
MI BND1 gamma[143]
UP BND1 gamma[143] 0
MI BND1 gamma[144]
UP BND1 gamma[144] 0
MI BND1 gamma[145]
UP BND1 gamma[145] 0
MI BND1 gamma[146]
UP BND1 gamma[146] 0
MI BND1 gamma[147]
UP BND1 gamma[147] 0
MI BND1 gamma[148]
UP BND1 gamma[148] 0
MI BND1 gamma[149]
UP BND1 gamma[149] 0
MI BND1 gamma[150]
UP BND1 gamma[150] 0
MI BND1 gamma[151]
UP BND1 gamma[151] 0
MI BND1 gamma[152]
UP BND1 gamma[152] 0
MI BND1 gamma[153]
UP BND1 gamma[153] 0
MI BND1 gamma[154]
UP BND1 gamma[154] 0
MI BND1 gamma[155]
UP BND1 gamma[155] 0
MI BND1 gamma[156]
UP BND1 gamma[156] 0
MI BND1 gamma[157]
UP BND1 gamma[157] 0
MI BND1 gamma[158]
UP BND1 gamma[158] 0
MI BND1 gamma[159]
UP BND1 gamma[159] 0
MI BND1 gamma[160]
UP BND1 gamma[160] 0
MI BND1 gamma[161]
UP BND1 gamma[161] 0
MI BND1 gamma[162]
UP BND1 gamma[162] 0
MI BND1 gamma[163]
UP BND1 gamma[163] 0
MI BND1 gamma[164]
UP BND1 gamma[164] 0
MI BND1 gamma[165]
UP BND1 gamma[165] 0
MI BND1 gamma[166]
UP BND1 gamma[166] 0
MI BND1 gamma[167]
UP BND1 gamma[167] 0
MI BND1 gamma[168]
UP BND1 gamma[168] 0
MI BND1 gamma[169]
UP BND1 gamma[169] 0
MI BND1 gamma[170]
UP BND1 gamma[170] 0
MI BND1 gamma[171]
UP BND1 gamma[171] 0
MI BND1 gamma[172]
UP BND1 gamma[172] 0
MI BND1 gamma[173]
UP BND1 gamma[173] 0
MI BND1 gamma[174]
UP BND1 gamma[174] 0
MI BND1 gamma[175]
UP BND1 gamma[175] 0
MI BND1 gamma[176]
UP BND1 gamma[176] 0
MI BND1 gamma[177]
UP BND1 gamma[177] 0
MI BND1 gamma[178]
UP BND1 gamma[178] 0
MI BND1 gamma[179]
UP BND1 gamma[179] 0
MI BND1 gamma[180]
UP BND1 gamma[180] 0
MI BND1 gamma[181]
UP BND1 gamma[181] 0
MI BND1 gamma[182]
UP BND1 gamma[182] 0
MI BND1 gamma[183]
UP BND1 gamma[183] 0
MI BND1 gamma[184]
UP BND1 gamma[184] 0
MI BND1 gamma[185]
UP BND1 gamma[185] 0
MI BND1 gamma[186]
UP BND1 gamma[186] 0
MI BND1 gamma[187]
UP BND1 gamma[187] 0
MI BND1 gamma[188]
UP BND1 gamma[188] 0
MI BND1 gamma[189]
UP BND1 gamma[189] 0
MI BND1 gamma[190]
UP BND1 gamma[190] 0
MI BND1 gamma[191]
UP BND1 gamma[191] 0
MI BND1 gamma[192]
UP BND1 gamma[192] 0
MI BND1 gamma[193]
UP BND1 gamma[193] 0
MI BND1 gamma[194]
UP BND1 gamma[194] 0
MI BND1 gamma[195]
UP BND1 gamma[195] 0
MI BND1 gamma[196]
UP BND1 gamma[196] 0
MI BND1 gamma[197]
UP BND1 gamma[197] 0
MI BND1 gamma[198]
UP BND1 gamma[198] 0
MI BND1 gamma[199]
UP BND1 gamma[199] 0
MI BND1 gamma[200]
UP BND1 gamma[200] 0
MI BND1 gamma[201]
UP BND1 gamma[201] 0
MI BND1 gamma[202]
UP BND1 gamma[202] 0
MI BND1 gamma[203]
UP BND1 gamma[203] 0
MI BND1 gamma[204]
UP BND1 gamma[204] 0
MI BND1 gamma[205]
UP BND1 gamma[205] 0
MI BND1 gamma[206]
UP BND1 gamma[206] 0
MI BND1 gamma[207]
UP BND1 gamma[207] 0
MI BND1 gamma[208]
UP BND1 gamma[208] 0
MI BND1 gamma[209]
UP BND1 gamma[209] 0
MI BND1 gamma[210]
UP BND1 gamma[210] 0
MI BND1 gamma[211]
UP BND1 gamma[211] 0
MI BND1 gamma[212]
UP BND1 gamma[212] 0
MI BND1 gamma[213]
UP BND1 gamma[213] 0
MI BND1 gamma[214]
UP BND1 gamma[214] 0
MI BND1 gamma[215]
UP BND1 gamma[215] 0
MI BND1 gamma[216]
UP BND1 gamma[216] 0
MI BND1 gamma[217]
UP BND1 gamma[217] 0
MI BND1 gamma[218]
UP BND1 gamma[218] 0
MI BND1 gamma[219]
UP BND1 gamma[219] 0
MI BND1 gamma[220]
UP BND1 gamma[220] 0
MI BND1 gamma[221]
UP BND1 gamma[221] 0
MI BND1 gamma[222]
UP BND1 gamma[222] 0
MI BND1 gamma[223]
UP BND1 gamma[223] 0
MI BND1 gamma[224]
UP BND1 gamma[224] 0
MI BND1 gamma[225]
UP BND1 gamma[225] 0
MI BND1 gamma[226]
UP BND1 gamma[226] 0
MI BND1 gamma[227]
UP BND1 gamma[227] 0
MI BND1 gamma[228]
UP BND1 gamma[228] 0
MI BND1 gamma[229]
UP BND1 gamma[229] 0
MI BND1 gamma[230]
UP BND1 gamma[230] 0
MI BND1 gamma[231]
UP BND1 gamma[231] 0
MI BND1 gamma[232]
UP BND1 gamma[232] 0
MI BND1 gamma[233]
UP BND1 gamma[233] 0
MI BND1 gamma[234]
UP BND1 gamma[234] 0
MI BND1 gamma[235]
UP BND1 gamma[235] 0
MI BND1 gamma[236]
UP BND1 gamma[236] 0
MI BND1 gamma[237]
UP BND1 gamma[237] 0
MI BND1 gamma[238]
UP BND1 gamma[238] 0
MI BND1 gamma[239]
UP BND1 gamma[239] 0
MI BND1 gamma[240]
UP BND1 gamma[240] 0
MI BND1 gamma[241]
UP BND1 gamma[241] 0
MI BND1 gamma[242]
UP BND1 gamma[242] 0
MI BND1 gamma[243]
UP BND1 gamma[243] 0
MI BND1 gamma[244]
UP BND1 gamma[244] 0
MI BND1 gamma[245]
UP BND1 gamma[245] 0
MI BND1 gamma[246]
UP BND1 gamma[246] 0
MI BND1 gamma[247]
UP BND1 gamma[247] 0
MI BND1 gamma[248]
UP BND1 gamma[248] 0
MI BND1 gamma[249]
UP BND1 gamma[249] 0
MI BND1 gamma[250]
UP BND1 gamma[250] 0
MI BND1 gamma[251]
UP BND1 gamma[251] 0
MI BND1 gamma[252]
UP BND1 gamma[252] 0
MI BND1 gamma[253]
UP BND1 gamma[253] 0
MI BND1 gamma[254]
UP BND1 gamma[254] 0
MI BND1 gamma[255]
UP BND1 gamma[255] 0
MI BND1 gamma[256]
UP BND1 gamma[256] 0
MI BND1 gamma[257]
UP BND1 gamma[257] 0
MI BND1 gamma[258]
UP BND1 gamma[258] 0
MI BND1 gamma[259]
UP BND1 gamma[259] 0
MI BND1 gamma[260]
UP BND1 gamma[260] 0
MI BND1 gamma[261]
UP BND1 gamma[261] 0
MI BND1 gamma[262]
UP BND1 gamma[262] 0
MI BND1 gamma[263]
UP BND1 gamma[263] 0
MI BND1 gamma[264]
UP BND1 gamma[264] 0
MI BND1 gamma[265]
UP BND1 gamma[265] 0
MI BND1 gamma[266]
UP BND1 gamma[266] 0
MI BND1 gamma[267]
UP BND1 gamma[267] 0
MI BND1 gamma[268]
UP BND1 gamma[268] 0
MI BND1 gamma[269]
UP BND1 gamma[269] 0
MI BND1 gamma[270]
UP BND1 gamma[270] 0
MI BND1 gamma[271]
UP BND1 gamma[271] 0
MI BND1 gamma[272]
UP BND1 gamma[272] 0
MI BND1 gamma[273]
UP BND1 gamma[273] 0
MI BND1 gamma[274]
UP BND1 gamma[274] 0
MI BND1 gamma[275]
UP BND1 gamma[275] 0
MI BND1 gamma[276]
UP BND1 gamma[276] 0
MI BND1 gamma[277]
UP BND1 gamma[277] 0
MI BND1 gamma[278]
UP BND1 gamma[278] 0
MI BND1 gamma[279]
UP BND1 gamma[279] 0
MI BND1 gamma[280]
UP BND1 gamma[280] 0
MI BND1 gamma[281]
UP BND1 gamma[281] 0
MI BND1 gamma[282]
UP BND1 gamma[282] 0
MI BND1 gamma[283]
UP BND1 gamma[283] 0
MI BND1 gamma[284]
UP BND1 gamma[284] 0
MI BND1 gamma[285]
UP BND1 gamma[285] 0
MI BND1 gamma[286]
UP BND1 gamma[286] 0
MI BND1 gamma[287]
UP BND1 gamma[287] 0
MI BND1 gamma[288]
UP BND1 gamma[288] 0
MI BND1 gamma[289]
UP BND1 gamma[289] 0
MI BND1 gamma[290]
UP BND1 gamma[290] 0
MI BND1 gamma[291]
UP BND1 gamma[291] 0
MI BND1 gamma[292]
UP BND1 gamma[292] 0
MI BND1 gamma[293]
UP BND1 gamma[293] 0
MI BND1 gamma[294]
UP BND1 gamma[294] 0
MI BND1 gamma[295]
UP BND1 gamma[295] 0
MI BND1 gamma[296]
UP BND1 gamma[296] 0
MI BND1 gamma[297]
UP BND1 gamma[297] 0
MI BND1 gamma[298]
UP BND1 gamma[298] 0
MI BND1 gamma[299]
UP BND1 gamma[299] 0
MI BND1 gamma[300]
UP BND1 gamma[300] 0
MI BND1 gamma[301]
UP BND1 gamma[301] 0
MI BND1 gamma[302]
UP BND1 gamma[302] 0
MI BND1 gamma[303]
UP BND1 gamma[303] 0
MI BND1 gamma[304]
UP BND1 gamma[304] 0
MI BND1 gamma[305]
UP BND1 gamma[305] 0
MI BND1 gamma[306]
UP BND1 gamma[306] 0
MI BND1 gamma[307]
UP BND1 gamma[307] 0
MI BND1 gamma[308]
UP BND1 gamma[308] 0
MI BND1 gamma[309]
UP BND1 gamma[309] 0
MI BND1 gamma[310]
UP BND1 gamma[310] 0
MI BND1 gamma[311]
UP BND1 gamma[311] 0
MI BND1 gamma[312]
UP BND1 gamma[312] 0
MI BND1 gamma[313]
UP BND1 gamma[313] 0
MI BND1 gamma[314]
UP BND1 gamma[314] 0
MI BND1 gamma[315]
UP BND1 gamma[315] 0
MI BND1 gamma[316]
UP BND1 gamma[316] 0
MI BND1 gamma[317]
UP BND1 gamma[317] 0
MI BND1 gamma[318]
UP BND1 gamma[318] 0
MI BND1 gamma[319]
UP BND1 gamma[319] 0
MI BND1 gamma[320]
UP BND1 gamma[320] 0
MI BND1 gamma[321]
UP BND1 gamma[321] 0
MI BND1 gamma[322]
UP BND1 gamma[322] 0
MI BND1 gamma[323]
UP BND1 gamma[323] 0
MI BND1 gamma[324]
UP BND1 gamma[324] 0
MI BND1 gamma[325]
UP BND1 gamma[325] 0
MI BND1 gamma[326]
UP BND1 gamma[326] 0
MI BND1 gamma[327]
UP BND1 gamma[327] 0
MI BND1 gamma[328]
UP BND1 gamma[328] 0
MI BND1 gamma[329]
UP BND1 gamma[329] 0
MI BND1 gamma[330]
UP BND1 gamma[330] 0
MI BND1 gamma[331]
UP BND1 gamma[331] 0
MI BND1 gamma[332]
UP BND1 gamma[332] 0
MI BND1 gamma[333]
UP BND1 gamma[333] 0
MI BND1 gamma[334]
UP BND1 gamma[334] 0
MI BND1 gamma[335]
UP BND1 gamma[335] 0
MI BND1 gamma[336]
UP BND1 gamma[336] 0
MI BND1 gamma[337]
UP BND1 gamma[337] 0
MI BND1 gamma[338]
UP BND1 gamma[338] 0
MI BND1 gamma[339]
UP BND1 gamma[339] 0
MI BND1 gamma[340]
UP BND1 gamma[340] 0
MI BND1 gamma[341]
UP BND1 gamma[341] 0
MI BND1 gamma[342]
UP BND1 gamma[342] 0
MI BND1 gamma[343]
UP BND1 gamma[343] 0
MI BND1 gamma[344]
UP BND1 gamma[344] 0
MI BND1 gamma[345]
UP BND1 gamma[345] 0
MI BND1 gamma[346]
UP BND1 gamma[346] 0
MI BND1 gamma[347]
UP BND1 gamma[347] 0
MI BND1 gamma[348]
UP BND1 gamma[348] 0
MI BND1 gamma[349]
UP BND1 gamma[349] 0
MI BND1 gamma[350]
UP BND1 gamma[350] 0
MI BND1 gamma[351]
UP BND1 gamma[351] 0
MI BND1 gamma[352]
UP BND1 gamma[352] 0
MI BND1 gamma[353]
UP BND1 gamma[353] 0
MI BND1 gamma[354]
UP BND1 gamma[354] 0
MI BND1 gamma[355]
UP BND1 gamma[355] 0
MI BND1 gamma[356]
UP BND1 gamma[356] 0
MI BND1 gamma[357]
UP BND1 gamma[357] 0
MI BND1 gamma[358]
UP BND1 gamma[358] 0
MI BND1 gamma[359]
UP BND1 gamma[359] 0
MI BND1 gamma[360]
UP BND1 gamma[360] 0
MI BND1 gamma[361]
UP BND1 gamma[361] 0
MI BND1 gamma[362]
UP BND1 gamma[362] 0
MI BND1 gamma[363]
UP BND1 gamma[363] 0
MI BND1 gamma[364]
UP BND1 gamma[364] 0
MI BND1 gamma[365]
UP BND1 gamma[365] 0
MI BND1 gamma[366]
UP BND1 gamma[366] 0
MI BND1 gamma[367]
UP BND1 gamma[367] 0
MI BND1 gamma[368]
UP BND1 gamma[368] 0
MI BND1 gamma[369]
UP BND1 gamma[369] 0
MI BND1 gamma[370]
UP BND1 gamma[370] 0
MI BND1 gamma[371]
UP BND1 gamma[371] 0
MI BND1 gamma[372]
UP BND1 gamma[372] 0
MI BND1 gamma[373]
UP BND1 gamma[373] 0
MI BND1 gamma[374]
UP BND1 gamma[374] 0
MI BND1 gamma[375]
UP BND1 gamma[375] 0
MI BND1 gamma[376]
UP BND1 gamma[376] 0
MI BND1 gamma[377]
UP BND1 gamma[377] 0
MI BND1 gamma[378]
UP BND1 gamma[378] 0
MI BND1 gamma[379]
UP BND1 gamma[379] 0
MI BND1 gamma[380]
UP BND1 gamma[380] 0
MI BND1 gamma[381]
UP BND1 gamma[381] 0
MI BND1 gamma[382]
UP BND1 gamma[382] 0
MI BND1 gamma[383]
UP BND1 gamma[383] 0
MI BND1 gamma[384]
UP BND1 gamma[384] 0
MI BND1 gamma[385]
UP BND1 gamma[385] 0
MI BND1 gamma[386]
UP BND1 gamma[386] 0
MI BND1 gamma[387]
UP BND1 gamma[387] 0
MI BND1 gamma[388]
UP BND1 gamma[388] 0
MI BND1 gamma[389]
UP BND1 gamma[389] 0
MI BND1 gamma[390]
UP BND1 gamma[390] 0
MI BND1 gamma[391]
UP BND1 gamma[391] 0
MI BND1 gamma[392]
UP BND1 gamma[392] 0
MI BND1 gamma[393]
UP BND1 gamma[393] 0
MI BND1 gamma[394]
UP BND1 gamma[394] 0
MI BND1 gamma[395]
UP BND1 gamma[395] 0
MI BND1 gamma[396]
UP BND1 gamma[396] 0
MI BND1 gamma[397]
UP BND1 gamma[397] 0
MI BND1 gamma[398]
UP BND1 gamma[398] 0
MI BND1 gamma[399]
UP BND1 gamma[399] 0
MI BND1 gamma[400]
UP BND1 gamma[400] 0
MI BND1 gamma[401]
UP BND1 gamma[401] 0
MI BND1 gamma[402]
UP BND1 gamma[402] 0
MI BND1 gamma[403]
UP BND1 gamma[403] 0
MI BND1 gamma[404]
UP BND1 gamma[404] 0
MI BND1 gamma[405]
UP BND1 gamma[405] 0
MI BND1 gamma[406]
UP BND1 gamma[406] 0
MI BND1 gamma[407]
UP BND1 gamma[407] 0
MI BND1 gamma[408]
UP BND1 gamma[408] 0
MI BND1 gamma[409]
UP BND1 gamma[409] 0
MI BND1 gamma[410]
UP BND1 gamma[410] 0
MI BND1 gamma[411]
UP BND1 gamma[411] 0
MI BND1 gamma[412]
UP BND1 gamma[412] 0
MI BND1 gamma[413]
UP BND1 gamma[413] 0
MI BND1 gamma[414]
UP BND1 gamma[414] 0
MI BND1 gamma[415]
UP BND1 gamma[415] 0
MI BND1 gamma[416]
UP BND1 gamma[416] 0
MI BND1 gamma[417]
UP BND1 gamma[417] 0
MI BND1 gamma[418]
UP BND1 gamma[418] 0
MI BND1 gamma[419]
UP BND1 gamma[419] 0
MI BND1 gamma[420]
UP BND1 gamma[420] 0
MI BND1 gamma[421]
UP BND1 gamma[421] 0
MI BND1 gamma[422]
UP BND1 gamma[422] 0
MI BND1 gamma[423]
UP BND1 gamma[423] 0
MI BND1 gamma[424]
UP BND1 gamma[424] 0
MI BND1 gamma[425]
UP BND1 gamma[425] 0
MI BND1 gamma[426]
UP BND1 gamma[426] 0
MI BND1 gamma[427]
UP BND1 gamma[427] 0
MI BND1 gamma[428]
UP BND1 gamma[428] 0
MI BND1 gamma[429]
UP BND1 gamma[429] 0
MI BND1 gamma[430]
UP BND1 gamma[430] 0
MI BND1 gamma[431]
UP BND1 gamma[431] 0
MI BND1 gamma[432]
UP BND1 gamma[432] 0
MI BND1 gamma[433]
UP BND1 gamma[433] 0
MI BND1 gamma[434]
UP BND1 gamma[434] 0
MI BND1 gamma[435]
UP BND1 gamma[435] 0
MI BND1 gamma[436]
UP BND1 gamma[436] 0
MI BND1 gamma[437]
UP BND1 gamma[437] 0
MI BND1 gamma[438]
UP BND1 gamma[438] 0
MI BND1 gamma[439]
UP BND1 gamma[439] 0
MI BND1 gamma[440]
UP BND1 gamma[440] 0
MI BND1 gamma[441]
UP BND1 gamma[441] 0
MI BND1 gamma[442]
UP BND1 gamma[442] 0
MI BND1 gamma[443]
UP BND1 gamma[443] 0
MI BND1 gamma[444]
UP BND1 gamma[444] 0
MI BND1 gamma[445]
UP BND1 gamma[445] 0
MI BND1 gamma[446]
UP BND1 gamma[446] 0
MI BND1 gamma[447]
UP BND1 gamma[447] 0
MI BND1 gamma[448]
UP BND1 gamma[448] 0
MI BND1 gamma[449]
UP BND1 gamma[449] 0
MI BND1 gamma[450]
UP BND1 gamma[450] 0
MI BND1 gamma[451]
UP BND1 gamma[451] 0
MI BND1 gamma[452]
UP BND1 gamma[452] 0
MI BND1 gamma[453]
UP BND1 gamma[453] 0
MI BND1 gamma[454]
UP BND1 gamma[454] 0
MI BND1 gamma[455]
UP BND1 gamma[455] 0
MI BND1 gamma[456]
UP BND1 gamma[456] 0
MI BND1 gamma[457]
UP BND1 gamma[457] 0
MI BND1 gamma[458]
UP BND1 gamma[458] 0
MI BND1 gamma[459]
UP BND1 gamma[459] 0
MI BND1 gamma[460]
UP BND1 gamma[460] 0
MI BND1 gamma[461]
UP BND1 gamma[461] 0
MI BND1 gamma[462]
UP BND1 gamma[462] 0
MI BND1 gamma[463]
UP BND1 gamma[463] 0
MI BND1 gamma[464]
UP BND1 gamma[464] 0
MI BND1 gamma[465]
UP BND1 gamma[465] 0
MI BND1 gamma[466]
UP BND1 gamma[466] 0
MI BND1 gamma[467]
UP BND1 gamma[467] 0
MI BND1 gamma[468]
UP BND1 gamma[468] 0
MI BND1 gamma[469]
UP BND1 gamma[469] 0
MI BND1 gamma[470]
UP BND1 gamma[470] 0
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MI BND1 gamma[566]
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MI BND1 gamma[569]
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MI BND1 gamma[570]
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FR BND1 phi
FR BND1 c[1]
FR BND1 c[2]
FR BND1 c[3]
FR BND1 c[4]
ENDATA
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正式なコメント
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Gurobi Staff
This post is more than three years old. Some information may not be up to date. For current information, please check the Gurobi Documentation or Knowledge Base. If you need more help, please create a new post in the community forum, or try Gurobot, our chatbot interface offering instant, expert-level support. -
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If you set the InfUnbdInfo parameter, Gurobi will supply you with an unbounded ray that proves the model is infeasible. You can query this ray by examining the UnbdRay attribute of each Var object.
However, it's easy to construct an unbounded ray for this model by looking at its structure. The model is of the following form:
$$\begin{alignat}{2} \max_{\phi,\gamma}\ & \phi && \\ \textrm{s.t.}\ & \sum_{i \in S^+} a_i \gamma_i &- \sum_{i \in S^-} a_i \gamma_i + \phi &\leq c \\ && \gamma_i &\leq 0 \quad i = 1, \ldots, 574. \end{alignat}$$
where \( S^+ \) and \( S^- \) are disjoint nonempty subsets of \(\{1, \ldots, 574 \}\), \( c > 0 \), and \( a_i > 0 \) for all \( i \in S^+ \cup S^- \).
Let \( k \in S^+ \). Consider any \( M > 0 \). We can construct a feasible solution to this model with objective value \( M \) as follows:
$$\begin{alignat*}{2} \phi &= &&M \\ \gamma_k &= -&&M / a_k \\ \gamma_i &= &&0 \qquad\quad i = 1, \ldots, k-1, k+1, \ldots, 574. \end{alignat*}$$
For example, with \( k = 1 \) (\(\gamma_1 = 0.396\)), the following solution is feasible for all \( M > 0 \):
$$\begin{alignat*}{2} \phi &= &&M \\ \gamma_1 &= -&&M / 0.396 \\ \gamma_i &= &&0 \qquad\qquad\quad i = 2, \ldots, 574. \end{alignat*}$$
Thus, the model is unbounded.
Have you tried writing out an LP file and examining it? Perhaps this model is not formulated as you expect. For example, the \( c \) variables and many \( \gamma \) variables do not show up in the objective function or any constraints.
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