Build (method = -2) #dp: 1911 Step-3' Graph: 240 vertices and 959 arcs (0.01s) Step-4' Graph: 187 vertices and 853 arcs (0.01s) #V4/#V3 = 0.78 #A4/#A3 = 0.89 Ready! (0.01s) Optimize a model with 197 rows, 854 columns and 2199 nonzeros Presolve removed 25 rows and 46 columns Presolve time: 0.01s Presolved: 172 rows, 808 columns, 2124 nonzeros Variable types: 0 continuous, 808 integer (41 binary) Found heuristic solution: objective 95.0000000 Found heuristic solution: objective 76.0000000 Optimize a model with 172 rows, 808 columns and 2124 nonzeros Presolved: 172 rows, 808 columns, 2124 nonzeros Root barrier log... Ordering time: 0.00s Barrier statistics: AA' NZ : 1.236e+03 Factor NZ : 4.142e+03 Factor Ops : 1.140e+05 (less than 1 second per iteration) Threads : 1 Objective Residual Iter Primal Dual Primal Dual Compl Time 0 1.07385037e+03 -1.49211353e+04 1.58e+04 7.40e-02 7.26e+01 0s 1 3.38041575e+02 -7.49075924e+03 2.75e+03 6.66e-16 1.39e+01 0s 2 1.90464832e+02 -2.97562847e+03 6.73e+02 6.66e-16 3.65e+00 0s 3 1.29542544e+02 -6.65908019e+02 1.14e+02 1.78e-15 7.02e-01 0s 4 9.95682267e+01 -8.01896433e+01 1.33e+01 3.55e-15 1.22e-01 0s 5 9.62731757e+01 -8.51726488e+01 1.17e+01 3.33e-15 1.23e-01 0s 6 7.25784025e+01 -5.60758195e+01 7.05e+00 2.55e-15 8.58e-02 0s 7 4.46232757e+01 -3.23180139e+01 4.34e+00 1.22e-15 5.12e-02 0s 8 2.73973992e+01 -1.77860214e+01 2.50e+00 7.00e-16 2.98e-02 0s 9 2.45539920e+01 -4.17447584e+00 2.20e+00 4.51e-16 1.92e-02 0s 10 1.80849036e+01 5.00045485e+00 9.29e-01 5.55e-16 8.51e-03 0s 11 1.67902940e+01 1.01948652e+01 5.07e-01 5.55e-16 4.23e-03 0s 12 1.48639099e+01 1.15181428e+01 1.59e-01 5.92e-16 2.10e-03 0s 13 1.40497162e+01 1.27216451e+01 6.23e-02 4.80e-16 8.32e-04 0s 14 1.36864490e+01 1.30683695e+01 2.52e-02 5.29e-16 3.86e-04 0s 15 1.35352331e+01 1.32830441e+01 1.08e-02 4.83e-16 1.58e-04 0s 16 1.34304133e+01 1.33525812e+01 2.32e-03 4.69e-16 4.84e-05 0s 17 1.33976417e+01 1.33669701e+01 4.39e-04 6.15e-16 1.90e-05 0s 18 1.33894898e+01 1.33763230e+01 1.82e-04 5.12e-16 8.14e-06 0s 19 1.33871353e+01 1.33804115e+01 1.16e-04 4.96e-16 4.16e-06 0s 20 1.33840513e+01 1.33834311e+01 3.80e-06 3.98e-16 3.82e-07 0s 21 1.33838734e+01 1.33838684e+01 5.55e-12 5.55e-16 3.06e-09 0s 22 1.33838710e+01 1.33838710e+01 2.10e-12 4.44e-16 3.06e-12 0s Barrier solved model in 22 iterations and 0.01 seconds Optimal objective 1.33838710e+01 Root relaxation: objective 1.338387e+01, 118 iterations, 0.02 seconds Nodes | Current Node | Objective Bounds | Work Expl Unexpl | Obj Depth IntInf | Incumbent BestBd Gap | It/Node Time 0 0 13.38387 0 44 76.00000 13.38387 82.4% - 0s H 0 0 19.0000000 13.38387 29.6% - 0s H 0 0 14.0000000 13.38387 4.40% - 0s Explored 0 nodes (193 simplex iterations) in 0.04 seconds Thread count was 1 (of 8 available processors) Optimal solution found (tolerance 0.00e+00) Best objective 1.400000000000e+01, best bound 1.400000000000e+01, gap 0.0% Preprocessing time: 0.02 seconds Gurobi run time: 0.04 seconds Total run time: 0.06 seconds Objective: 14 Solution: 3 x [1, 1, 1, 6, 6, 9, 9, 10] 1 x [4, 4, 4, 8, 8, 8, 8, 10] 1 x [2, 4, 6, 6, 8, 8, 9] 1 x [1, 1, 1, 9, 9, 9, 9] 4 x [2, 3, 3, 4, 6, 7, 8] 1 x [2, 3, 3, 3, 4, 5] 1 x [3, 3, 3, 4, 7, 8, 8] 1 x [4, 6, 7, 8, 8, 8, 8] 1 x [2, 2, 2, 2, 4, 4]