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                            α=7.0 —— gr96 —— 96 nodes       
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——————— Mon, 08 Jan 2024 16:23:01 ————————— seperate y_ij <= y_jj - x_ij on lazy constraints ————————— use blossom = false
BD  —— 48 hubs —— 1-2-4-5-6-7-9-10-12-14-15-16-20-21-23-26-27-63-64-66-67-68-76-75-74-85-87-82-81-70-69-56-57-55-52-50-49-43-42-41-40-44-35-36-32-31-30-97-1
total time           412.88               gap                  0.0                  
blossom time         0                    nb blossom           0.0                  
LB <= UB             2609.28<=2609.28     Master/SP costs      2551/58.28           
Master time          367.74               SP time              45.13                
subtour              140.0                connectivity cuts    2000.0               
uc strategy          4                    uc tolerance         0.01                 
opt. cuts            296.0                SP method            poly                 
tildeV               2:96                 inst transformation  2                    
2-opt strategy       0                                                              
explored nodes       60917                
F                    31.0                 
                                          o_i                  0                                                              
                                          
Found solution RING NODES 1—2—4—5—6—7—9—10—12—14—15—16—20—21—23—26—27—63—64—66—67—68—76—75—74—85—87—82—81—70—69—56—57—55—52—50—49—43—42—41—40—44—35—36—32—31—30—97 RING 1 --- 2 | cost [112.0] 1 --- 97 | cost [0.0] 2 --- 4 | cost [56.0] 4 --- 5 | cost [14.0] 5 --- 6 | cost [7.0] 6 --- 7 | cost [14.0] 7 --- 9 | cost [28.0] 9 --- 10 | cost [28.0] 10 --- 12 | cost [21.0] 12 --- 14 | cost [28.0] 14 --- 15 | cost [21.0] 15 --- 16 | cost [49.0] 16 --- 20 | cost [77.0] 20 --- 21 | cost [42.0] 21 --- 23 | cost [63.0] 23 --- 26 | cost [42.0] 26 --- 27 | cost [42.0] 27 --- 63 | cost [77.0] 30 --- 31 | cost [7.0] 30 --- 97 | cost [42.0] 31 --- 32 | cost [14.0] 32 --- 36 | cost [21.0] 35 --- 36 | cost [28.0] 35 --- 44 | cost [56.0] 40 --- 41 | cost [14.0] 40 --- 44 | cost [42.0] 41 --- 42 | cost [7.0] 42 --- 43 | cost [7.0] 43 --- 49 | cost [7.0] 49 --- 50 | cost [28.0] 50 --- 52 | cost [21.0] 52 --- 55 | cost [21.0] 55 --- 57 | cost [49.0] 56 --- 57 | cost [0.0] 56 --- 69 | cost [35.0] 63 --- 64 | cost [28.0] 64 --- 66 | cost [28.0] 66 --- 67 | cost [14.0] 67 --- 68 | cost [0.0] 68 --- 76 | cost [70.0] 69 --- 70 | cost [35.0] 70 --- 81 | cost [70.0] 74 --- 75 | cost [28.0] 74 --- 85 | cost [35.0] 75 --- 76 | cost [28.0] 81 --- 82 | cost [21.0] 82 --- 87 | cost [77.0] 85 --- 87 | cost [28.0] STAR 3 --> 2 | cost [15.0] 8 --> 7 | cost [6.0] 11 --> 44 | cost [36.0] 13 --> 14 | cost [6.0] 17 --> 20 | cost [6.0] 18 --> 20 | cost [6.0] 19 --> 20 | cost [3.0] 22 --> 26 | cost [12.0] 24 --> 23 | cost [9.0] 25 --> 23 | cost [21.0] 28 --> 27 | cost [15.0] 29 --> 30 | cost [12.0] 33 --> 44 | cost [15.0] 34 --> 35 | cost [6.0] 37 --> 36 | cost [3.0] 38 --> 36 | cost [12.0] 39 --> 40 | cost [9.0] 45 --> 44 | cost [12.0] 46 --> 50 | cost [18.0] 47 --> 50 | cost [24.0] 48 --> 50 | cost [30.0] 51 --> 55 | cost [9.0] 53 --> 52 | cost [9.0] 54 --> 56 | cost [27.0] 58 --> 57 | cost [15.0] 59 --> 56 | cost [21.0] 60 --> 63 | cost [21.0] 61 --> 63 | cost [15.0] 62 --> 63 | cost [9.0] 65 --> 66 | cost [24.0] 71 --> 75 | cost [21.0] 72 --> 75 | cost [18.0] 73 --> 75 | cost [12.0] 77 --> 75 | cost [12.0] 78 --> 85 | cost [12.0] 79 --> 69 | cost [60.0] 80 --> 81 | cost [90.0] 83 --> 81 | cost [12.0] 84 --> 85 | cost [9.0] 86 --> 85 | cost [3.0] 88 --> 85 | cost [15.0] 89 --> 87 | cost [12.0] 90 --> 87 | cost [15.0] 91 --> 87 | cost [27.0] 92 --> 76 | cost [33.0] 93 --> 76 | cost [39.0] 94 --> 67 | cost [36.0] 95 --> 68 | cost [69.0] 96 --> 68 | cost [48.0] BACKUP RING 1 --- 4 | cost [1.61] 2 --- 5 | cost [0.7000000000000001] 4 --- 6 | cost [0.21] 5 --- 7 | cost [0.21] 6 --- 9 | cost [0.42] 7 --- 10 | cost [0.56] 9 --- 12 | cost [0.49] 10 --- 14 | cost [0.56] 12 --- 15 | cost [0.56] 14 --- 16 | cost [0.7000000000000001] 15 --- 20 | cost [1.26] 16 --- 21 | cost [1.05] 20 --- 23 | cost [1.05] 21 --- 26 | cost [0.77] 23 --- 27 | cost [0.63] 26 --- 63 | cost [1.12] 27 --- 64 | cost [0.7000000000000001] 30 --- 32 | cost [0.21] 31 --- 36 | cost [0.35000000000000003] 31 --- 97 | cost [0.49] 32 --- 35 | cost [0.42] 35 --- 40 | cost [0.63] 36 --- 44 | cost [0.84] 40 --- 42 | cost [0.21] 41 --- 43 | cost [0.21] 41 --- 44 | cost [0.49] 42 --- 49 | cost [0.14] 43 --- 50 | cost [0.35000000000000003] 49 --- 52 | cost [0.42] 50 --- 55 | cost [0.42] 52 --- 57 | cost [0.7000000000000001] 55 --- 56 | cost [0.49] 56 --- 70 | cost [0.56] 57 --- 69 | cost [0.35000000000000003] 63 --- 66 | cost [0.56] 64 --- 67 | cost [0.42] 66 --- 68 | cost [0.14] 67 --- 76 | cost [0.7000000000000001] 68 --- 75 | cost [0.98] 69 --- 81 | cost [0.98] 70 --- 82 | cost [0.7000000000000001] 74 --- 76 | cost [0.56] 74 --- 87 | cost [0.63] 75 --- 85 | cost [0.56] 81 --- 87 | cost [0.91] 82 --- 85 | cost [0.77] BACKUP STAR 3 --> 4 | cost [0.27] 8 --> 6 | cost [0.06] 11 --> 14 | cost [0.39] 13 --> 12 | cost [0.12] 17 --> 21 | cost [0.24] 18 --> 21 | cost [0.21] 19 --> 21 | cost [0.18] 22 --> 23 | cost [0.18] 24 --> 26 | cost [0.27] 25 --> 21 | cost [0.39] 28 --> 26 | cost [0.18] 29 --> 31 | cost [0.15] 33 --> 35 | cost [0.27] 34 --> 36 | cost [0.18] 37 --> 32 | cost [0.12] 38 --> 35 | cost [0.12] 39 --> 41 | cost [0.12] 45 --> 42 | cost [0.21] 46 --> 43 | cost [0.24] 47 --> 52 | cost [0.27] 48 --> 52 | cost [0.33] 51 --> 52 | cost [0.12] 53 --> 55 | cost [0.12] 54 --> 57 | cost [0.27] 58 --> 56 | cost [0.15] 59 --> 57 | cost [0.21] 60 --> 56 | cost [0.33] 61 --> 64 | cost [0.24] 62 --> 64 | cost [0.18] 65 --> 64 | cost [0.27] 71 --> 74 | cost [0.27] 72 --> 76 | cost [0.21] 73 --> 74 | cost [0.15] 77 --> 76 | cost [0.12] 78 --> 74 | cost [0.21] 79 --> 70 | cost [0.63] 80 --> 82 | cost [0.99] 83 --> 82 | cost [0.12] 84 --> 74 | cost [0.15] 86 --> 87 | cost [0.12] 88 --> 87 | cost [0.15] 89 --> 85 | cost [0.24] 90 --> 85 | cost [0.27] 91 --> 82 | cost [0.33] 92 --> 75 | cost [0.42] 93 --> 67 | cost [0.45] 94 --> 68 | cost [0.36] 95 --> 67 | cost [0.6900000000000001] 96 --> 66 | cost [0.48] B = 1.8800000000000001 i★ = 1 j★ = 2 k★ = 4
——————— Thu, 11 Jan 2024 14:15:46 ————————— seperate y_ij <= y_jj - x_ij on lazy constraints ————————— use blossom = false ILP ——— 31 hubs —— 1—30—38—79—43—49—50—53—56—59—63—62—61—71—72—76—68—77—78—86—85—74—15—16—11—5—4—9—8—6—97 total time 3632.77 (TL 3600) gap 0.448 blossom time 0 nb blossom 0.0 LB <= UB 2378.03<=4305.54 subtour 918.0 connectivity cuts 0.0 uc strategy 0 uc tolerance 0.01 tildeV 2:96 2-opt strategy 0 explored_nodes 1012 n lazycuts edges 0.0 F 31.0 post procedure true o_i 0
Found solution RING NODES 1—30—38—79—43—49—50—53—56—59—63—62—61—71—72—76—68—77—78—86—85—74—15—16—11—5—4—9—8—6—97 RING 1 --- 30 | cost [42.0] 4 --- 5 | cost [14.0] 4 --- 9 | cost [63.0] 5 --- 11 | cost [119.0] 6 --- 8 | cost [14.0] 6 --- 97 | cost [182.0] 8 --- 9 | cost [35.0] 11 --- 16 | cost [126.0] 15 --- 16 | cost [49.0] 15 --- 74 | cost [385.0] 30 --- 38 | cost [77.0] 38 --- 79 | cost [154.0] 43 --- 49 | cost [7.0] 43 --- 79 | cost [161.0] 49 --- 50 | cost [28.0] 50 --- 53 | cost [35.0] 53 --- 56 | cost [63.0] 56 --- 59 | cost [49.0] 59 --- 63 | cost [84.0] 61 --- 62 | cost [14.0] 61 --- 71 | cost [56.0] 62 --- 63 | cost [21.0] 68 --- 76 | cost [70.0] 68 --- 77 | cost [98.0] 71 --- 72 | cost [7.0] 72 --- 76 | cost [49.0] 74 --- 85 | cost [35.0] 77 --- 78 | cost [42.0] 78 --- 86 | cost [28.0] 85 --- 86 | cost [7.0] STAR 2 --> 1 | cost [48.0] 3 --> 1 | cost [57.0] 7 --> 8 | cost [6.0] 10 --> 9 | cost [12.0] 12 --> 9 | cost [21.0] 13 --> 15 | cost [15.0] 14 --> 15 | cost [9.0] 17 --> 16 | cost [30.0] 18 --> 16 | cost [36.0] 19 --> 16 | cost [39.0] 20 --> 16 | cost [33.0] 21 --> 16 | cost [45.0] 22 --> 16 | cost [63.0] 23 --> 16 | cost [63.0] 24 --> 59 | cost [60.0] 25 --> 53 | cost [51.0] 26 --> 68 | cost [66.0] 27 --> 68 | cost [45.0] 28 --> 68 | cost [54.0] 29 --> 30 | cost [12.0] 31 --> 30 | cost [3.0] 32 --> 30 | cost [9.0] 33 --> 11 | cost [30.0] 34 --> 43 | cost [36.0] 35 --> 38 | cost [12.0] 36 --> 30 | cost [18.0] 37 --> 1 | cost [36.0] 39 --> 43 | cost [18.0] 40 --> 43 | cost [12.0] 41 --> 43 | cost [9.0] 42 --> 43 | cost [3.0] 44 --> 49 | cost [21.0] 45 --> 43 | cost [21.0] 46 --> 50 | cost [18.0] 47 --> 53 | cost [24.0] 48 --> 53 | cost [27.0] 51 --> 53 | cost [18.0] 52 --> 50 | cost [9.0] 54 --> 53 | cost [21.0] 55 --> 53 | cost [12.0] 57 --> 56 | cost [0.0] 58 --> 56 | cost [15.0] 60 --> 62 | cost [15.0] 64 --> 68 | cost [18.0] 65 --> 68 | cost [30.0] 66 --> 68 | cost [6.0] 67 --> 68 | cost [0.0] 69 --> 56 | cost [15.0] 70 --> 56 | cost [24.0] 73 --> 71 | cost [12.0] 75 --> 71 | cost [21.0] 80 --> 79 | cost [69.0] 81 --> 74 | cost [42.0] 82 --> 71 | cost [45.0] 83 --> 71 | cost [57.0] 84 --> 85 | cost [9.0] 87 --> 71 | cost [54.0] 88 --> 86 | cost [12.0] 89 --> 71 | cost [66.0] 90 --> 71 | cost [66.0] 91 --> 71 | cost [72.0] 92 --> 76 | cost [33.0] 93 --> 77 | cost [39.0] 94 --> 68 | cost [36.0] 95 --> 68 | cost [69.0] 96 --> 68 | cost [48.0] BACKUP RING 1 --- 38 | cost [1.05] 4 --- 8 | cost [0.35000000000000003] 4 --- 11 | cost [1.12] 5 --- 9 | cost [0.49] 5 --- 16 | cost [1.8900000000000001] 6 --- 9 | cost [0.42] 8 --- 97 | cost [1.96] 11 --- 15 | cost [0.91] 15 --- 85 | cost [4.2] 16 --- 74 | cost [3.71] 30 --- 79 | cost [2.24] 38 --- 43 | cost [0.91] 43 --- 50 | cost [0.35000000000000003] 49 --- 53 | cost [0.63] 49 --- 79 | cost [1.61] 50 --- 56 | cost [0.91] 53 --- 59 | cost [0.98] 56 --- 63 | cost [1.26] 59 --- 62 | cost [0.63] 61 --- 63 | cost [0.35000000000000003] 61 --- 72 | cost [0.63] 62 --- 71 | cost [0.7000000000000001] 68 --- 72 | cost [0.91] 68 --- 78 | cost [1.4000000000000001] 71 --- 76 | cost [0.63] 74 --- 86 | cost [0.42] 76 --- 77 | cost [0.28] 77 --- 86 | cost [0.63] 78 --- 85 | cost [0.28] BACKUP STAR 7 --> 6 | cost [0.06] 10 --> 8 | cost [0.27] 12 --> 15 | cost [0.24] 13 --> 9 | cost [0.33] 14 --> 16 | cost [0.3] 17 --> 15 | cost [0.48] 18 --> 15 | cost [0.5700000000000001] 19 --> 15 | cost [0.5700000000000001] 20 --> 15 | cost [0.54] 21 --> 15 | cost [0.63] 22 --> 63 | cost [0.6] 23 --> 63 | cost [0.45] 24 --> 63 | cost [0.39] 25 --> 63 | cost [0.45] 26 --> 63 | cost [0.48] 27 --> 63 | cost [0.33] 28 --> 63 | cost [0.48] 29 --> 1 | cost [0.24] 31 --> 1 | cost [0.21] 32 --> 38 | cost [0.21] 33 --> 43 | cost [0.36] 34 --> 38 | cost [0.21] 35 --> 30 | cost [0.27] 36 --> 38 | cost [0.12] 39 --> 38 | cost [0.21] 40 --> 49 | cost [0.15] 41 --> 49 | cost [0.09] 42 --> 49 | cost [0.06] 44 --> 43 | cost [0.21] 45 --> 49 | cost [0.21] 46 --> 43 | cost [0.24] 47 --> 50 | cost [0.24] 48 --> 50 | cost [0.3] 51 --> 50 | cost [0.18] 52 --> 53 | cost [0.09] 54 --> 56 | cost [0.27] 55 --> 50 | cost [0.18] 57 --> 59 | cost [0.21] 58 --> 59 | cost [0.21] 60 --> 61 | cost [0.15] 64 --> 63 | cost [0.12] 65 --> 63 | cost [0.39] 66 --> 63 | cost [0.24] 67 --> 63 | cost [0.27] 69 --> 59 | cost [0.3] 70 --> 59 | cost [0.3] 73 --> 72 | cost [0.09] 75 --> 74 | cost [0.12] 80 --> 85 | cost [1.26] 81 --> 85 | cost [0.42] 82 --> 85 | cost [0.33] 83 --> 85 | cost [0.39] 84 --> 86 | cost [0.09] 87 --> 85 | cost [0.12] 88 --> 78 | cost [0.12] 89 --> 86 | cost [0.21] 90 --> 86 | cost [0.24] 91 --> 86 | cost [0.36] 92 --> 77 | cost [0.3] 93 --> 76 | cost [0.39] 94 --> 76 | cost [0.45] 95 --> 76 | cost [0.6900000000000001] 96 --> 63 | cost [0.6900000000000001] B = 4.75 i★ = 11 j★ = 16 k★ = 15
——————— Thu, 11 Jan 2024 15:16:55 ————————— seperate y_ij <= y_jj - x_ij on lazy constraints ————————— use blossom = false BD —— 47 hubs —— 1-30-31-32-36-35-44-41-42-43-49-50-52-55-57-56-69-81-82-87-85-74-75-76-93-94-68-66-64-63-27-26-23-21-20-16-15-14-12-10-9-7-6-5-4-2-97-1 total time 3605.53 (TL 3600) gap 0.076 blossom time 0 nb blossom 0.0 LB <= UB 2435.9<=2635.07 Master/SP costs 2574/61.07 Master time 3588.45 SP time 17.08 subtour 19626.0 connectivity cuts 0.0 uc strategy 0 uc tolerance 0.01 opt. cuts 71.0 SP method poly tildeV 2:96 inst transformation 2 2-opt strategy 0 explored nodes 67798 F 31.0 o_i 0
Found solution RING NODES 1—30—31—32—36—35—44—41—42—43—49—50—52—55—57—56—69—81—82—87—85—74—75—76—93—94—68—66—64—63—27—26—23—21—20—16—15—14—12—10—9—7—6—5—4—2—97 RING 1 --- 30 | cost [42.0] 2 --- 4 | cost [56.0] 2 --- 97 | cost [112.0] 4 --- 5 | cost [14.0] 5 --- 6 | cost [7.0] 6 --- 7 | cost [14.0] 7 --- 9 | cost [28.0] 9 --- 10 | cost [28.0] 10 --- 12 | cost [21.0] 12 --- 14 | cost [28.0] 14 --- 15 | cost [21.0] 15 --- 16 | cost [49.0] 16 --- 20 | cost [77.0] 20 --- 21 | cost [42.0] 21 --- 23 | cost [63.0] 23 --- 26 | cost [42.0] 26 --- 27 | cost [42.0] 27 --- 63 | cost [77.0] 30 --- 31 | cost [7.0] 31 --- 32 | cost [14.0] 32 --- 36 | cost [21.0] 35 --- 36 | cost [28.0] 35 --- 44 | cost [56.0] 41 --- 42 | cost [7.0] 41 --- 44 | cost [49.0] 42 --- 43 | cost [7.0] 43 --- 49 | cost [7.0] 49 --- 50 | cost [28.0] 50 --- 52 | cost [21.0] 52 --- 55 | cost [21.0] 55 --- 57 | cost [49.0] 56 --- 57 | cost [0.0] 56 --- 69 | cost [35.0] 63 --- 64 | cost [28.0] 64 --- 66 | cost [28.0] 66 --- 68 | cost [14.0] 68 --- 94 | cost [84.0] 69 --- 81 | cost [98.0] 74 --- 75 | cost [28.0] 74 --- 85 | cost [35.0] 75 --- 76 | cost [28.0] 76 --- 93 | cost [91.0] 81 --- 82 | cost [21.0] 82 --- 87 | cost [77.0] 85 --- 87 | cost [28.0] 93 --- 94 | cost [49.0] STAR 3 --> 2 | cost [15.0] 8 --> 6 | cost [6.0] 11 --> 44 | cost [36.0] 13 --> 14 | cost [6.0] 17 --> 20 | cost [6.0] 18 --> 20 | cost [6.0] 19 --> 20 | cost [3.0] 22 --> 26 | cost [12.0] 24 --> 23 | cost [9.0] 25 --> 23 | cost [21.0] 28 --> 27 | cost [15.0] 29 --> 30 | cost [12.0] 33 --> 44 | cost [15.0] 34 --> 35 | cost [6.0] 37 --> 36 | cost [3.0] 38 --> 36 | cost [12.0] 39 --> 41 | cost [12.0] 40 --> 41 | cost [6.0] 45 --> 44 | cost [12.0] 46 --> 50 | cost [18.0] 47 --> 50 | cost [24.0] 48 --> 50 | cost [30.0] 51 --> 55 | cost [9.0] 53 --> 52 | cost [9.0] 54 --> 57 | cost [27.0] 58 --> 57 | cost [15.0] 59 --> 57 | cost [21.0] 60 --> 63 | cost [21.0] 61 --> 63 | cost [15.0] 62 --> 63 | cost [9.0] 65 --> 66 | cost [24.0] 67 --> 68 | cost [0.0] 70 --> 69 | cost [15.0] 71 --> 75 | cost [21.0] 72 --> 75 | cost [18.0] 73 --> 75 | cost [12.0] 77 --> 76 | cost [12.0] 78 --> 85 | cost [12.0] 79 --> 55 | cost [66.0] 80 --> 81 | cost [90.0] 83 --> 82 | cost [12.0] 84 --> 85 | cost [9.0] 86 --> 85 | cost [3.0] 88 --> 87 | cost [15.0] 89 --> 87 | cost [12.0] 90 --> 87 | cost [15.0] 91 --> 87 | cost [27.0] 92 --> 93 | cost [18.0] 95 --> 93 | cost [30.0] 96 --> 94 | cost [30.0] BACKUP RING 1 --- 31 | cost [0.49] 2 --- 5 | cost [0.7000000000000001] 4 --- 6 | cost [0.21] 4 --- 97 | cost [1.61] 5 --- 7 | cost [0.21] 6 --- 9 | cost [0.42] 7 --- 10 | cost [0.56] 9 --- 12 | cost [0.49] 10 --- 14 | cost [0.56] 12 --- 15 | cost [0.56] 14 --- 16 | cost [0.7000000000000001] 15 --- 20 | cost [1.26] 16 --- 21 | cost [1.05] 20 --- 23 | cost [1.05] 21 --- 26 | cost [0.77] 23 --- 27 | cost [0.63] 26 --- 63 | cost [1.12] 27 --- 64 | cost [0.7000000000000001] 30 --- 32 | cost [0.21] 31 --- 36 | cost [0.35000000000000003] 32 --- 35 | cost [0.42] 35 --- 41 | cost [0.7000000000000001] 36 --- 44 | cost [0.84] 41 --- 43 | cost [0.21] 42 --- 44 | cost [0.49] 42 --- 49 | cost [0.14] 43 --- 50 | cost [0.35000000000000003] 49 --- 52 | cost [0.42] 50 --- 55 | cost [0.42] 52 --- 57 | cost [0.7000000000000001] 55 --- 56 | cost [0.49] 56 --- 81 | cost [1.26] 57 --- 69 | cost [0.35000000000000003] 63 --- 66 | cost [0.56] 64 --- 68 | cost [0.42] 66 --- 94 | cost [0.91] 68 --- 93 | cost [1.05] 69 --- 82 | cost [0.98] 74 --- 76 | cost [0.56] 74 --- 87 | cost [0.63] 75 --- 85 | cost [0.56] 75 --- 93 | cost [1.12] 76 --- 94 | cost [1.05] 81 --- 87 | cost [0.91] 82 --- 85 | cost [0.77] BACKUP STAR 3 --> 4 | cost [0.27] 8 --> 7 | cost [0.06] 11 --> 14 | cost [0.39] 13 --> 12 | cost [0.12] 17 --> 21 | cost [0.24] 18 --> 21 | cost [0.21] 19 --> 21 | cost [0.18] 22 --> 23 | cost [0.18] 24 --> 26 | cost [0.27] 25 --> 21 | cost [0.39] 28 --> 26 | cost [0.18] 29 --> 31 | cost [0.15] 33 --> 35 | cost [0.27] 34 --> 36 | cost [0.18] 37 --> 32 | cost [0.12] 38 --> 35 | cost [0.12] 39 --> 42 | cost [0.15] 40 --> 42 | cost [0.09] 45 --> 42 | cost [0.21] 46 --> 43 | cost [0.24] 47 --> 52 | cost [0.27] 48 --> 52 | cost [0.33] 51 --> 52 | cost [0.12] 53 --> 55 | cost [0.12] 54 --> 56 | cost [0.27] 58 --> 56 | cost [0.15] 59 --> 56 | cost [0.21] 60 --> 56 | cost [0.33] 61 --> 64 | cost [0.24] 62 --> 64 | cost [0.18] 65 --> 64 | cost [0.27] 67 --> 66 | cost [0.06] 70 --> 56 | cost [0.24] 71 --> 74 | cost [0.27] 72 --> 76 | cost [0.21] 73 --> 74 | cost [0.15] 77 --> 75 | cost [0.12] 78 --> 74 | cost [0.21] 79 --> 69 | cost [0.6] 80 --> 82 | cost [0.99] 83 --> 81 | cost [0.12] 84 --> 74 | cost [0.15] 86 --> 87 | cost [0.12] 88 --> 85 | cost [0.15] 89 --> 85 | cost [0.24] 90 --> 85 | cost [0.27] 91 --> 82 | cost [0.33] 92 --> 76 | cost [0.33] 95 --> 94 | cost [0.33] 96 --> 66 | cost [0.48] B = 1.97 i★ = 69 j★ = 81 k★ = 82