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                           α=5.0 —— eil76 —— 76 nodes       
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——————— Mon, 08 Jan 2024 18:41:30 ————————— seperate y_ij <= y_jj - x_ij on lazy constraints ————————— use blossom = false
ILP ——— 64 hubs —— 1—43—42—41—56—23—63—16—49—3—44—32—50—25—9—39—72—58—10—38—65—66—11—53—14—19—35—8—46—34—52—27—13—57—15—5—37—20—70—60—71—36—47—48—29—45—4—75—76—67—26—12—40—17—51—6—68—2—30—74—28—62—73—77
total time           3613.42 (TL 3600)    gap                  0.022                
blossom time         0                    nb blossom           0.0                  
LB <= UB             2642.53<=2702.9      subtour              66.0                 
connectivity cuts    1023.0               uc strategy          4                    
uc tolerance         0.01                 tildeV               2:76                 
2-opt strategy       0                                                              
explored_nodes       2124                 n lazycuts edges     0.0                  
F                    183.0                post procedure       true                 
o_i                  0                                                                                                                                                  
Found solution RING NODES 1—43—42—41—56—23—63—16—49—3—44—32—50—25—9—39—72—58—10—38—65—66—11—53—14—19—35—8—46—34—52—27—13—57—15—5—37—20—70—60—71—36—47—48—29—45—4—75—76—67—26—12—40—17—51—6—68—2—30—74—28—62—73—77 RING 1 --- 43 | cost [35.0] 1 --- 77 | cost [0.0] 2 --- 30 | cost [35.0] 2 --- 68 | cost [35.0] 3 --- 44 | cost [15.0] 3 --- 49 | cost [55.0] 4 --- 45 | cost [35.0] 4 --- 75 | cost [25.0] 5 --- 15 | cost [40.0] 5 --- 37 | cost [35.0] 6 --- 51 | cost [30.0] 6 --- 68 | cost [25.0] 8 --- 35 | cost [25.0] 8 --- 46 | cost [25.0] 9 --- 25 | cost [50.0] 9 --- 39 | cost [20.0] 10 --- 38 | cost [35.0] 10 --- 58 | cost [30.0] 11 --- 53 | cost [40.0] 11 --- 66 | cost [35.0] 12 --- 26 | cost [40.0] 12 --- 40 | cost [25.0] 13 --- 27 | cost [35.0] 13 --- 57 | cost [45.0] 14 --- 19 | cost [45.0] 14 --- 53 | cost [35.0] 15 --- 57 | cost [20.0] 16 --- 49 | cost [45.0] 16 --- 63 | cost [30.0] 17 --- 40 | cost [35.0] 17 --- 51 | cost [30.0] 19 --- 35 | cost [35.0] 20 --- 37 | cost [30.0] 20 --- 70 | cost [30.0] 23 --- 56 | cost [30.0] 23 --- 63 | cost [45.0] 25 --- 50 | cost [40.0] 26 --- 67 | cost [30.0] 27 --- 52 | cost [20.0] 28 --- 62 | cost [30.0] 28 --- 74 | cost [30.0] 29 --- 45 | cost [20.0] 29 --- 48 | cost [30.0] 30 --- 74 | cost [35.0] 32 --- 44 | cost [25.0] 32 --- 50 | cost [40.0] 34 --- 46 | cost [10.0] 34 --- 52 | cost [20.0] 36 --- 47 | cost [30.0] 36 --- 71 | cost [35.0] 38 --- 65 | cost [25.0] 39 --- 72 | cost [25.0] 41 --- 42 | cost [20.0] 41 --- 56 | cost [50.0] 42 --- 43 | cost [25.0] 47 --- 48 | cost [30.0] 58 --- 72 | cost [25.0] 60 --- 70 | cost [20.0] 60 --- 71 | cost [25.0] 62 --- 73 | cost [25.0] 65 --- 66 | cost [35.0] 67 --- 76 | cost [25.0] 73 --- 77 | cost [25.0] 75 --- 76 | cost [15.0] STAR 7 --> 35 | cost [25.0] 18 --> 50 | cost [30.0] 21 --> 47 | cost [30.0] 22 --> 62 | cost [40.0] 24 --> 49 | cost [35.0] 31 --> 10 | cost [65.0] 33 --> 73 | cost [25.0] 54 --> 13 | cost [40.0] 55 --> 25 | cost [45.0] 59 --> 14 | cost [55.0] 61 --> 28 | cost [50.0] 64 --> 42 | cost [45.0] 69 --> 36 | cost [35.0] BACKUP RING 1 --- 42 | cost [0.55] 2 --- 6 | cost [0.45] 2 --- 74 | cost [0.35000000000000003] 3 --- 16 | cost [0.45] 3 --- 32 | cost [0.4] 4 --- 29 | cost [0.55] 4 --- 76 | cost [0.35000000000000003] 5 --- 20 | cost [0.65] 5 --- 57 | cost [0.6] 6 --- 17 | cost [0.5] 8 --- 19 | cost [0.4] 8 --- 34 | cost [0.35000000000000003] 9 --- 50 | cost [0.55] 9 --- 72 | cost [0.45] 10 --- 65 | cost [0.55] 10 --- 72 | cost [0.4] 11 --- 14 | cost [0.55] 11 --- 65 | cost [0.35000000000000003] 12 --- 17 | cost [0.35000000000000003] 12 --- 67 | cost [0.65] 13 --- 15 | cost [0.55] 13 --- 52 | cost [0.45] 14 --- 35 | cost [0.5] 15 --- 37 | cost [0.45] 16 --- 23 | cost [0.65] 19 --- 53 | cost [0.55] 20 --- 60 | cost [0.5] 23 --- 41 | cost [0.55] 25 --- 32 | cost [0.6] 25 --- 39 | cost [0.7000000000000001] 26 --- 40 | cost [0.6] 26 --- 76 | cost [0.3] 27 --- 34 | cost [0.4] 27 --- 57 | cost [0.6] 28 --- 30 | cost [0.65] 28 --- 73 | cost [0.55] 29 --- 47 | cost [0.55] 30 --- 68 | cost [0.45] 35 --- 46 | cost [0.45] 36 --- 48 | cost [0.65] 36 --- 60 | cost [0.6] 37 --- 70 | cost [0.45] 38 --- 58 | cost [0.45] 38 --- 66 | cost [0.6] 39 --- 58 | cost [0.5] 40 --- 51 | cost [0.55] 41 --- 43 | cost [0.2] 42 --- 56 | cost [0.7000000000000001] 44 --- 49 | cost [0.65] 44 --- 50 | cost [0.5] 45 --- 48 | cost [0.45] 45 --- 75 | cost [0.6] 46 --- 52 | cost [0.25] 47 --- 71 | cost [0.65] 49 --- 63 | cost [0.55] 51 --- 68 | cost [0.55] 53 --- 66 | cost [0.75] 56 --- 63 | cost [0.75] 62 --- 74 | cost [0.5] 62 --- 77 | cost [0.4] 67 --- 75 | cost [0.35000000000000003] 70 --- 71 | cost [0.4] BACKUP STAR 7 --> 8 | cost [0.35000000000000003] 18 --> 25 | cost [0.55] 21 --> 74 | cost [0.4] 22 --> 28 | cost [0.45] 24 --> 3 | cost [0.7000000000000001] 31 --> 39 | cost [0.8] 33 --> 63 | cost [0.3] 54 --> 19 | cost [0.45] 55 --> 50 | cost [0.75] 59 --> 11 | cost [0.75] 61 --> 62 | cost [0.75] 64 --> 41 | cost [0.6] 69 --> 71 | cost [0.45] B = 1.3 i★ = 19 j★ = 14 k★ = 53
——————— Mon, 08 Jan 2024 19:42:09 ————————— seperate y_ij <= y_jj - x_ij on lazy constraints ————————— use blossom = false BD —— 64 hubs —— 1-43-42-41-56-23-63-16-49-3-44-32-50-25-9-39-72-58-10-38-65-66-11-53-14-19-35-8-46-34-52-27-13-57-15-5-37-20-70-60-71-36-47-48-29-45-4-75-76-67-26-12-40-17-51-6-68-2-30-74-28-62-73-77-1 total time 3603.07 (TL 3600) gap 0.038 blossom time 0 nb blossom 0.0 LB <= UB 2600.94<=2702.9 Master/SP costs 2465/237.9 Master time 3584.79 SP time 18.27 subtour 11016.0 connectivity cuts 2000.0 uc strategy 4 uc tolerance 0.01 opt. cuts 367.0 SP method poly tildeV 2:76 inst transformation 2 2-opt strategy 0 explored nodes 131528 F 183.0 o_i 0
Found solution RING NODES 1—43—42—41—56—23—63—16—49—3—44—32—50—25—9—39—72—58—10—38—65—66—11—53—14—19—35—8—46—34—52—27—13—57—15—5—37—20—70—60—71—36—47—48—29—45—4—75—76—67—26—12—40—17—51—6—68—2—30—74—28—62—73—77 RING 1 --- 43 | cost [35.0] 1 --- 77 | cost [0.0] 2 --- 30 | cost [35.0] 2 --- 68 | cost [35.0] 3 --- 44 | cost [15.0] 3 --- 49 | cost [55.0] 4 --- 45 | cost [35.0] 4 --- 75 | cost [25.0] 5 --- 15 | cost [40.0] 5 --- 37 | cost [35.0] 6 --- 51 | cost [30.0] 6 --- 68 | cost [25.0] 8 --- 35 | cost [25.0] 8 --- 46 | cost [25.0] 9 --- 25 | cost [50.0] 9 --- 39 | cost [20.0] 10 --- 38 | cost [35.0] 10 --- 58 | cost [30.0] 11 --- 53 | cost [40.0] 11 --- 66 | cost [35.0] 12 --- 26 | cost [40.0] 12 --- 40 | cost [25.0] 13 --- 27 | cost [35.0] 13 --- 57 | cost [45.0] 14 --- 19 | cost [45.0] 14 --- 53 | cost [35.0] 15 --- 57 | cost [20.0] 16 --- 49 | cost [45.0] 16 --- 63 | cost [30.0] 17 --- 40 | cost [35.0] 17 --- 51 | cost [30.0] 19 --- 35 | cost [35.0] 20 --- 37 | cost [30.0] 20 --- 70 | cost [30.0] 23 --- 56 | cost [30.0] 23 --- 63 | cost [45.0] 25 --- 50 | cost [40.0] 26 --- 67 | cost [30.0] 27 --- 52 | cost [20.0] 28 --- 62 | cost [30.0] 28 --- 74 | cost [30.0] 29 --- 45 | cost [20.0] 29 --- 48 | cost [30.0] 30 --- 74 | cost [35.0] 32 --- 44 | cost [25.0] 32 --- 50 | cost [40.0] 34 --- 46 | cost [10.0] 34 --- 52 | cost [20.0] 36 --- 47 | cost [30.0] 36 --- 71 | cost [35.0] 38 --- 65 | cost [25.0] 39 --- 72 | cost [25.0] 41 --- 42 | cost [20.0] 41 --- 56 | cost [50.0] 42 --- 43 | cost [25.0] 47 --- 48 | cost [30.0] 58 --- 72 | cost [25.0] 60 --- 70 | cost [20.0] 60 --- 71 | cost [25.0] 62 --- 73 | cost [25.0] 65 --- 66 | cost [35.0] 67 --- 76 | cost [25.0] 73 --- 77 | cost [25.0] 75 --- 76 | cost [15.0] STAR 7 --> 35 | cost [25.0] 18 --> 50 | cost [30.0] 21 --> 47 | cost [30.0] 22 --> 62 | cost [40.0] 24 --> 49 | cost [35.0] 31 --> 10 | cost [65.0] 33 --> 73 | cost [25.0] 54 --> 13 | cost [40.0] 55 --> 25 | cost [45.0] 59 --> 14 | cost [55.0] 61 --> 28 | cost [50.0] 64 --> 42 | cost [45.0] 69 --> 36 | cost [35.0] BACKUP RING 1 --- 42 | cost [0.55] 2 --- 6 | cost [0.45] 2 --- 74 | cost [0.35000000000000003] 3 --- 16 | cost [0.45] 3 --- 32 | cost [0.4] 4 --- 29 | cost [0.55] 4 --- 76 | cost [0.35000000000000003] 5 --- 20 | cost [0.65] 5 --- 57 | cost [0.6] 6 --- 17 | cost [0.5] 8 --- 19 | cost [0.4] 8 --- 34 | cost [0.35000000000000003] 9 --- 50 | cost [0.55] 9 --- 72 | cost [0.45] 10 --- 65 | cost [0.55] 10 --- 72 | cost [0.4] 11 --- 14 | cost [0.55] 11 --- 65 | cost [0.35000000000000003] 12 --- 17 | cost [0.35000000000000003] 12 --- 67 | cost [0.65] 13 --- 15 | cost [0.55] 13 --- 52 | cost [0.45] 14 --- 35 | cost [0.5] 15 --- 37 | cost [0.45] 16 --- 23 | cost [0.65] 19 --- 53 | cost [0.55] 20 --- 60 | cost [0.5] 23 --- 41 | cost [0.55] 25 --- 32 | cost [0.6] 25 --- 39 | cost [0.7000000000000001] 26 --- 40 | cost [0.6] 26 --- 76 | cost [0.3] 27 --- 34 | cost [0.4] 27 --- 57 | cost [0.6] 28 --- 30 | cost [0.65] 28 --- 73 | cost [0.55] 29 --- 47 | cost [0.55] 30 --- 68 | cost [0.45] 35 --- 46 | cost [0.45] 36 --- 48 | cost [0.65] 36 --- 60 | cost [0.6] 37 --- 70 | cost [0.45] 38 --- 58 | cost [0.45] 38 --- 66 | cost [0.6] 39 --- 58 | cost [0.5] 40 --- 51 | cost [0.55] 41 --- 43 | cost [0.2] 42 --- 56 | cost [0.7000000000000001] 44 --- 49 | cost [0.65] 44 --- 50 | cost [0.5] 45 --- 48 | cost [0.45] 45 --- 75 | cost [0.6] 46 --- 52 | cost [0.25] 47 --- 71 | cost [0.65] 49 --- 63 | cost [0.55] 51 --- 68 | cost [0.55] 53 --- 66 | cost [0.75] 56 --- 63 | cost [0.75] 62 --- 74 | cost [0.5] 62 --- 77 | cost [0.4] 67 --- 75 | cost [0.35000000000000003] 70 --- 71 | cost [0.4] BACKUP STAR 7 --> 8 | cost [0.35000000000000003] 18 --> 25 | cost [0.55] 21 --> 74 | cost [0.4] 22 --> 28 | cost [0.45] 24 --> 3 | cost [0.7000000000000001] 31 --> 39 | cost [0.8] 33 --> 63 | cost [0.3] 54 --> 19 | cost [0.45] 55 --> 50 | cost [0.75] 59 --> 11 | cost [0.75] 61 --> 62 | cost [0.75] 64 --> 41 | cost [0.6] 69 --> 71 | cost [0.45] B = 1.3 i★ = 19 j★ = 14 k★ = 53
——————— Fri, 12 Jan 2024 06:58:19 ————————— seperate y_ij <= y_jj - x_ij on lazy constraints ————————— use blossom = false ILP ——— 64 hubs —— 1—43—42—41—56—23—63—16—49—3—44—32—50—25—9—39—72—58—10—38—65—66—11—53—14—19—35—8—46—34—52—27—13—57—15—5—37—20—70—60—71—36—47—48—29—45—4—75—76—67—26—12—40—17—51—6—68—2—30—74—28—62—73—77 total time 3617.69 (TL 3600) gap 0.02 blossom time 0 nb blossom 0.0 LB <= UB 2647.73<=2702.9 subtour 1518.0 connectivity cuts 0.0 uc strategy 0 uc tolerance 0.01 tildeV 2:76 2-opt strategy 0 explored_nodes 2593 n lazycuts edges 1.0 F 183.0 post procedure true o_i 0
Found solution RING NODES 1—43—42—41—56—23—63—16—49—3—44—32—50—25—9—39—72—58—10—38—65—66—11—53—14—19—35—8—46—34—52—27—13—57—15—5—37—20—70—60—71—36—47—48—29—45—4—75—76—67—26—12—40—17—51—6—68—2—30—74—28—62—73—77 RING 1 --- 43 | cost [35.0] 2 --- 30 | cost [35.0] 2 --- 68 | cost [35.0] 3 --- 44 | cost [15.0] 3 --- 49 | cost [55.0] 4 --- 45 | cost [35.0] 4 --- 75 | cost [25.0] 5 --- 15 | cost [40.0] 5 --- 37 | cost [35.0] 6 --- 51 | cost [30.0] 6 --- 68 | cost [25.0] 8 --- 35 | cost [25.0] 8 --- 46 | cost [25.0] 9 --- 25 | cost [50.0] 9 --- 39 | cost [20.0] 10 --- 38 | cost [35.0] 10 --- 58 | cost [30.0] 11 --- 53 | cost [40.0] 11 --- 66 | cost [35.0] 12 --- 26 | cost [40.0] 12 --- 40 | cost [25.0] 13 --- 27 | cost [35.0] 13 --- 57 | cost [45.0] 14 --- 19 | cost [45.0] 14 --- 53 | cost [35.0] 15 --- 57 | cost [20.0] 16 --- 49 | cost [45.0] 16 --- 63 | cost [30.0] 17 --- 40 | cost [35.0] 17 --- 51 | cost [30.0] 19 --- 35 | cost [35.0] 20 --- 37 | cost [30.0] 20 --- 70 | cost [30.0] 23 --- 56 | cost [30.0] 23 --- 63 | cost [45.0] 25 --- 50 | cost [40.0] 26 --- 67 | cost [30.0] 27 --- 52 | cost [20.0] 28 --- 62 | cost [30.0] 28 --- 74 | cost [30.0] 29 --- 45 | cost [20.0] 29 --- 48 | cost [30.0] 30 --- 74 | cost [35.0] 32 --- 44 | cost [25.0] 32 --- 50 | cost [40.0] 34 --- 46 | cost [10.0] 34 --- 52 | cost [20.0] 36 --- 47 | cost [30.0] 36 --- 71 | cost [35.0] 38 --- 65 | cost [25.0] 39 --- 72 | cost [25.0] 41 --- 42 | cost [20.0] 41 --- 56 | cost [50.0] 42 --- 43 | cost [25.0] 47 --- 48 | cost [30.0] 58 --- 72 | cost [25.0] 60 --- 70 | cost [20.0] 60 --- 71 | cost [25.0] 62 --- 73 | cost [25.0] 65 --- 66 | cost [35.0] 67 --- 76 | cost [25.0] 73 --- 77 | cost [25.0] 75 --- 76 | cost [15.0] STAR 7 --> 35 | cost [25.0] 18 --> 50 | cost [30.0] 21 --> 47 | cost [30.0] 22 --> 62 | cost [40.0] 24 --> 49 | cost [35.0] 31 --> 10 | cost [65.0] 33 --> 73 | cost [25.0] 54 --> 13 | cost [40.0] 55 --> 25 | cost [45.0] 59 --> 14 | cost [55.0] 61 --> 28 | cost [50.0] 64 --> 42 | cost [45.0] 69 --> 36 | cost [35.0] BACKUP RING 1 --- 42 | cost [0.55] 2 --- 6 | cost [0.45] 2 --- 74 | cost [0.35000000000000003] 3 --- 16 | cost [0.45] 3 --- 32 | cost [0.4] 4 --- 29 | cost [0.55] 4 --- 76 | cost [0.35000000000000003] 5 --- 20 | cost [0.65] 5 --- 57 | cost [0.6] 6 --- 17 | cost [0.5] 8 --- 19 | cost [0.4] 8 --- 34 | cost [0.35000000000000003] 9 --- 50 | cost [0.55] 9 --- 72 | cost [0.45] 10 --- 65 | cost [0.55] 10 --- 72 | cost [0.4] 11 --- 14 | cost [0.55] 11 --- 65 | cost [0.35000000000000003] 12 --- 17 | cost [0.35000000000000003] 12 --- 67 | cost [0.65] 13 --- 15 | cost [0.55] 13 --- 52 | cost [0.45] 14 --- 35 | cost [0.5] 15 --- 37 | cost [0.45] 16 --- 23 | cost [0.65] 19 --- 53 | cost [0.55] 20 --- 60 | cost [0.5] 23 --- 41 | cost [0.55] 25 --- 32 | cost [0.6] 25 --- 39 | cost [0.7000000000000001] 26 --- 40 | cost [0.6] 26 --- 76 | cost [0.3] 27 --- 34 | cost [0.4] 27 --- 57 | cost [0.6] 28 --- 30 | cost [0.65] 28 --- 73 | cost [0.55] 29 --- 47 | cost [0.55] 30 --- 68 | cost [0.45] 35 --- 46 | cost [0.45] 36 --- 48 | cost [0.65] 36 --- 60 | cost [0.6] 37 --- 70 | cost [0.45] 38 --- 58 | cost [0.45] 38 --- 66 | cost [0.6] 39 --- 58 | cost [0.5] 40 --- 51 | cost [0.55] 41 --- 43 | cost [0.2] 42 --- 56 | cost [0.7000000000000001] 44 --- 49 | cost [0.65] 44 --- 50 | cost [0.5] 45 --- 48 | cost [0.45] 45 --- 75 | cost [0.6] 46 --- 52 | cost [0.25] 47 --- 71 | cost [0.65] 49 --- 63 | cost [0.55] 51 --- 68 | cost [0.55] 53 --- 66 | cost [0.75] 56 --- 63 | cost [0.75] 62 --- 74 | cost [0.5] 62 --- 77 | cost [0.4] 67 --- 75 | cost [0.35000000000000003] 70 --- 71 | cost [0.4] BACKUP STAR 7 --> 8 | cost [0.35000000000000003] 18 --> 25 | cost [0.55] 21 --> 74 | cost [0.4] 22 --> 28 | cost [0.45] 24 --> 3 | cost [0.7000000000000001] 31 --> 39 | cost [0.8] 33 --> 63 | cost [0.3] 54 --> 19 | cost [0.45] 55 --> 50 | cost [0.75] 59 --> 11 | cost [0.75] 61 --> 62 | cost [0.75] 64 --> 41 | cost [0.6] 69 --> 71 | cost [0.45] B = 1.3 i★ = 19 j★ = 14 k★ = 53
——————— Fri, 12 Jan 2024 07:59:10 ————————— seperate y_ij <= y_jj - x_ij on lazy constraints ————————— use blossom = false BD —— 63 hubs —— 1-43-42-41-56-23-63-16-49-3-44-32-50-25-9-39-72-58-10-38-65-66-11-53-14-19-35-8-46-34-52-27-13-57-15-5-37-20-70-60-71-36-47-48-29-45-4-75-76-67-26-12-40-17-51-6-68-2-74-28-62-73-77-1 total time 3603.6 (TL 3600) gap 0.053 blossom time 0 nb blossom 0.0 LB <= UB 2558.61<=2702.9 Master/SP costs 2465/237.9 Master time 3575.57 SP time 28.04 subtour 35695.0 connectivity cuts 0.0 uc strategy 0 uc tolerance 0.01 opt. cuts 315.0 SP method poly tildeV 2:76 inst transformation 2 2-opt strategy 0 explored nodes 41587 F 183.0 o_i 0
Found solution RING NODES 1—43—42—41—56—23—63—16—49—3—44—32—50—25—9—39—72—58—10—38—65—66—11—53—14—19—35—8—46—34—52—27—13—57—15—5—37—20—70—60—71—36—47—48—29—45—4—75—76—67—26—12—40—17—51—6—68—2—74—28—62—73—77 RING 1 --- 43 | cost [35.0] 2 --- 68 | cost [35.0] 2 --- 74 | cost [35.0] 3 --- 44 | cost [15.0] 3 --- 49 | cost [55.0] 4 --- 45 | cost [35.0] 4 --- 75 | cost [25.0] 5 --- 15 | cost [40.0] 5 --- 37 | cost [35.0] 6 --- 51 | cost [30.0] 6 --- 68 | cost [25.0] 8 --- 35 | cost [25.0] 8 --- 46 | cost [25.0] 9 --- 25 | cost [50.0] 9 --- 39 | cost [20.0] 10 --- 38 | cost [35.0] 10 --- 58 | cost [30.0] 11 --- 53 | cost [40.0] 11 --- 66 | cost [35.0] 12 --- 26 | cost [40.0] 12 --- 40 | cost [25.0] 13 --- 27 | cost [35.0] 13 --- 57 | cost [45.0] 14 --- 19 | cost [45.0] 14 --- 53 | cost [35.0] 15 --- 57 | cost [20.0] 16 --- 49 | cost [45.0] 16 --- 63 | cost [30.0] 17 --- 40 | cost [35.0] 17 --- 51 | cost [30.0] 19 --- 35 | cost [35.0] 20 --- 37 | cost [30.0] 20 --- 70 | cost [30.0] 23 --- 56 | cost [30.0] 23 --- 63 | cost [45.0] 25 --- 50 | cost [40.0] 26 --- 67 | cost [30.0] 27 --- 52 | cost [20.0] 28 --- 62 | cost [30.0] 28 --- 74 | cost [30.0] 29 --- 45 | cost [20.0] 29 --- 48 | cost [30.0] 32 --- 44 | cost [25.0] 32 --- 50 | cost [40.0] 34 --- 46 | cost [10.0] 34 --- 52 | cost [20.0] 36 --- 47 | cost [30.0] 36 --- 71 | cost [35.0] 38 --- 65 | cost [25.0] 39 --- 72 | cost [25.0] 41 --- 42 | cost [20.0] 41 --- 56 | cost [50.0] 42 --- 43 | cost [25.0] 47 --- 48 | cost [30.0] 58 --- 72 | cost [25.0] 60 --- 70 | cost [20.0] 60 --- 71 | cost [25.0] 62 --- 73 | cost [25.0] 65 --- 66 | cost [35.0] 67 --- 76 | cost [25.0] 73 --- 77 | cost [25.0] 75 --- 76 | cost [15.0] STAR 7 --> 35 | cost [25.0] 18 --> 50 | cost [30.0] 21 --> 47 | cost [30.0] 22 --> 62 | cost [40.0] 24 --> 49 | cost [35.0] 30 --> 48 | cost [35.0] 31 --> 10 | cost [65.0] 33 --> 73 | cost [25.0] 54 --> 13 | cost [40.0] 55 --> 25 | cost [45.0] 59 --> 14 | cost [55.0] 61 --> 28 | cost [50.0] 64 --> 42 | cost [45.0] 69 --> 36 | cost [35.0] BACKUP RING 1 --- 42 | cost [0.55] 2 --- 6 | cost [0.45] 2 --- 28 | cost [0.5] 3 --- 16 | cost [0.45] 3 --- 32 | cost [0.4] 4 --- 29 | cost [0.55] 4 --- 76 | cost [0.35000000000000003] 5 --- 20 | cost [0.65] 5 --- 57 | cost [0.6] 6 --- 17 | cost [0.5] 8 --- 19 | cost [0.4] 8 --- 34 | cost [0.35000000000000003] 9 --- 50 | cost [0.55] 9 --- 72 | cost [0.45] 10 --- 65 | cost [0.55] 10 --- 72 | cost [0.4] 11 --- 14 | cost [0.55] 11 --- 65 | cost [0.35000000000000003] 12 --- 17 | cost [0.35000000000000003] 12 --- 67 | cost [0.65] 13 --- 15 | cost [0.55] 13 --- 52 | cost [0.45] 14 --- 35 | cost [0.5] 15 --- 37 | cost [0.45] 16 --- 23 | cost [0.65] 19 --- 53 | cost [0.55] 20 --- 60 | cost [0.5] 23 --- 41 | cost [0.55] 25 --- 32 | cost [0.6] 25 --- 39 | cost [0.7000000000000001] 26 --- 40 | cost [0.6] 26 --- 76 | cost [0.3] 27 --- 34 | cost [0.4] 27 --- 57 | cost [0.6] 28 --- 73 | cost [0.55] 29 --- 47 | cost [0.55] 35 --- 46 | cost [0.45] 36 --- 48 | cost [0.65] 36 --- 60 | cost [0.6] 37 --- 70 | cost [0.45] 38 --- 58 | cost [0.45] 38 --- 66 | cost [0.6] 39 --- 58 | cost [0.5] 40 --- 51 | cost [0.55] 41 --- 43 | cost [0.2] 42 --- 56 | cost [0.7000000000000001] 44 --- 49 | cost [0.65] 44 --- 50 | cost [0.5] 45 --- 48 | cost [0.45] 45 --- 75 | cost [0.6] 46 --- 52 | cost [0.25] 47 --- 71 | cost [0.65] 49 --- 63 | cost [0.55] 51 --- 68 | cost [0.55] 53 --- 66 | cost [0.75] 56 --- 63 | cost [0.75] 62 --- 74 | cost [0.5] 62 --- 77 | cost [0.4] 67 --- 75 | cost [0.35000000000000003] 68 --- 74 | cost [0.65] 70 --- 71 | cost [0.4] BACKUP STAR 7 --> 8 | cost [0.35000000000000003] 18 --> 25 | cost [0.55] 21 --> 74 | cost [0.4] 22 --> 28 | cost [0.45] 24 --> 3 | cost [0.7000000000000001] 30 --> 2 | cost [0.35000000000000003] 31 --> 39 | cost [0.8] 33 --> 63 | cost [0.3] 54 --> 19 | cost [0.45] 55 --> 50 | cost [0.75] 59 --> 11 | cost [0.75] 61 --> 62 | cost [0.75] 64 --> 41 | cost [0.6] 69 --> 71 | cost [0.45] B = 1.3 i★ = 19 j★ = 14 k★ = 53