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                            α=5.0 —— pr76 —— 76 nodes       
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——————— Tue, 09 Jan 2024 00:45:30 ————————— seperate y_ij <= y_jj - x_ij on lazy constraints ————————— use blossom = false
ILP ——— 62 hubs —— 1—75—2—3—7—6—5—10—9—12—13—14—15—16—17—18—37—36—38—39—40—34—35—32—31—30—29—26—27—28—43—42—54—53—52—55—58—59—61—62—63—64—72—71—65—66—51—50—67—68—69—47—48—44—45—46—24—25—21—22—23—77
total time           3614.1 (TL 3600)     gap                  0.035                
blossom time         0                    nb blossom           0.0                  
LB <= UB             540423.36<=559809.65 subtour              223.0                
connectivity cuts    491.0                uc strategy          4                    
uc tolerance         0.01                 tildeV               2:76                 
2-opt strategy       0                                                              
explored_nodes       1768                 n lazycuts edges     0.0                  
F                    183.0                post procedure       true                 
o_i                  0                                                                                                                                                  
Found solution RING NODES 1—75—2—3—7—6—5—10—9—12—13—14—15—16—17—18—37—36—38—39—40—34—35—32—31—30—29—26—27—28—43—42—54—53—52—55—58—59—61—62—63—64—72—71—65—66—51—50—67—68—69—47—48—44—45—46—24—25—21—22—23—77 RING 1 --- 75 | cost [18030.0] 1 --- 77 | cost [0.0] 2 --- 3 | cost [14630.0] 2 --- 75 | cost [18200.0] 3 --- 7 | cost [8140.0] 5 --- 6 | cost [5575.0] 5 --- 10 | cost [6815.0] 6 --- 7 | cost [4530.0] 9 --- 10 | cost [3500.0] 9 --- 12 | cost [8075.0] 12 --- 13 | cost [5820.0] 13 --- 14 | cost [2610.0] 14 --- 15 | cost [8730.0] 15 --- 16 | cost [3500.0] 16 --- 17 | cost [7560.0] 17 --- 18 | cost [3335.0] 18 --- 37 | cost [2750.0] 21 --- 22 | cost [5965.0] 21 --- 25 | cost [2750.0] 22 --- 23 | cost [7165.0] 23 --- 77 | cost [9655.0] 24 --- 25 | cost [5590.0] 24 --- 46 | cost [9655.0] 26 --- 27 | cost [3500.0] 26 --- 29 | cost [6840.0] 27 --- 28 | cost [6845.0] 28 --- 43 | cost [5265.0] 29 --- 30 | cost [4530.0] 30 --- 31 | cost [2915.0] 31 --- 32 | cost [10000.0] 32 --- 35 | cost [8075.0] 34 --- 35 | cost [5590.0] 34 --- 40 | cost [6400.0] 36 --- 37 | cost [2610.0] 36 --- 38 | cost [6950.0] 38 --- 39 | cost [3500.0] 39 --- 40 | cost [7560.0] 42 --- 43 | cost [3580.0] 42 --- 54 | cost [2750.0] 44 --- 45 | cost [5965.0] 44 --- 48 | cost [2750.0] 45 --- 46 | cost [7165.0] 47 --- 48 | cost [5590.0] 47 --- 69 | cost [9655.0] 50 --- 51 | cost [6845.0] 50 --- 67 | cost [15500.0] 51 --- 66 | cost [5265.0] 52 --- 53 | cost [4530.0] 52 --- 55 | cost [6820.0] 53 --- 54 | cost [2915.0] 55 --- 58 | cost [8075.0] 58 --- 59 | cost [5820.0] 59 --- 61 | cost [6950.0] 61 --- 62 | cost [3500.0] 62 --- 63 | cost [7560.0] 63 --- 64 | cost [3335.0] 64 --- 72 | cost [15735.0] 65 --- 66 | cost [3580.0] 65 --- 71 | cost [20350.0] 67 --- 68 | cost [5965.0] 68 --- 69 | cost [7165.0] 71 --- 72 | cost [9500.0] STAR 4 --> 3 | cost [3500.0] 8 --> 7 | cost [2915.0] 11 --> 12 | cost [5590.0] 19 --> 31 | cost [2750.0] 20 --> 5 | cost [5265.0] 33 --> 32 | cost [3500.0] 41 --> 40 | cost [3335.0] 49 --> 50 | cost [3500.0] 56 --> 55 | cost [3500.0] 57 --> 58 | cost [5590.0] 60 --> 59 | cost [2610.0] 70 --> 68 | cost [19730.0] 73 --> 72 | cost [1500.0] 74 --> 14 | cost [15790.0] 76 --> 75 | cost [1500.0] BACKUP RING 1 --- 2 | cost [55.9] 2 --- 7 | cost [184.20000000000002] 3 --- 6 | cost [68.4] 3 --- 75 | cost [323.55] 5 --- 7 | cost [100.7] 5 --- 9 | cost [81.2] 6 --- 10 | cost [81.25] 9 --- 13 | cost [129.75] 10 --- 12 | cost [92.05] 12 --- 14 | cost [82.85000000000001] 13 --- 15 | cost [69.5] 14 --- 16 | cost [120.2] 15 --- 17 | cost [106.35000000000001] 16 --- 18 | cost [101.25] 17 --- 37 | cost [60.45] 18 --- 36 | cost [53.050000000000004] 21 --- 23 | cost [127.5] 21 --- 24 | cost [72.5] 22 --- 25 | cost [78.10000000000001] 22 --- 77 | cost [152.5] 24 --- 45 | cost [152.5] 25 --- 46 | cost [143.0] 26 --- 28 | cost [81.45] 26 --- 30 | cost [81.4] 27 --- 29 | cost [81.4] 27 --- 43 | cost [86.65] 28 --- 42 | cost [84.9] 29 --- 31 | cost [70.05] 30 --- 32 | cost [93.0] 31 --- 35 | cost [156.45000000000002] 32 --- 34 | cost [92.15] 34 --- 39 | cost [80.55] 35 --- 40 | cost [114.2] 36 --- 39 | cost [99.55] 37 --- 38 | cost [87.3] 38 --- 40 | cost [106.35000000000001] 42 --- 53 | cost [54.6] 43 --- 54 | cost [61.85] 44 --- 46 | cost [127.5] 44 --- 47 | cost [72.5] 45 --- 48 | cost [78.10000000000001] 47 --- 68 | cost [152.5] 48 --- 69 | cost [143.0] 50 --- 66 | cost [86.65] 50 --- 68 | cost [183.45000000000002] 51 --- 65 | cost [84.9] 51 --- 67 | cost [208.1] 52 --- 54 | cost [70.05] 52 --- 58 | cost [147.5] 53 --- 55 | cost [93.0] 55 --- 59 | cost [129.75] 58 --- 61 | cost [80.55] 59 --- 62 | cost [99.55] 61 --- 63 | cost [106.35000000000001] 62 --- 64 | cost [101.25] 63 --- 72 | cost [190.6] 64 --- 71 | cost [157.35] 65 --- 72 | cost [276.7] 66 --- 71 | cost [237.85] 67 --- 69 | cost [127.5] BACKUP STAR 4 --> 5 | cost [68.45] 8 --> 6 | cost [70.05] 11 --> 17 | cost [64.0] 19 --> 30 | cost [54.6] 20 --> 31 | cost [61.85] 33 --> 28 | cost [68.15] 41 --> 59 | cost [53.050000000000004] 49 --> 52 | cost [68.4] 56 --> 51 | cost [68.15] 57 --> 63 | cost [64.0] 60 --> 40 | cost [60.45] 70 --> 67 | cost [195.25] 73 --> 71 | cost [110.0] 74 --> 13 | cost [183.85] 76 --> 1 | cost [185.8] B = 323.55 i★ = 3 j★ = 2 k★ = 75
——————— Tue, 09 Jan 2024 01:46:10 ————————— seperate y_ij <= y_jj - x_ij on lazy constraints ————————— use blossom = false BD —— 61 hubs —— 1-23-22-21-25-24-46-45-44-48-47-69-68-67-50-51-66-65-71-72-64-63-62-61-41-60-59-58-55-52-53-54-42-43-28-27-26-29-30-31-32-35-38-36-37-18-17-16-15-14-13-12-9-10-5-6-7-3-2-75-77-1 total time 3603.04 (TL 3600) gap 0.063 blossom time 0 nb blossom 0.0 LB <= UB 525779.74<=561009.65 Master/SP costs 501800/59209.65 Master time 3582.96 SP time 20.08 subtour 12776.0 connectivity cuts 2000.0 uc strategy 4 uc tolerance 0.01 opt. cuts 449.0 SP method poly tildeV 2:76 inst transformation 2 2-opt strategy 0 explored nodes 214714 F 183.0 o_i 0
Found solution RING NODES 1—23—22—21—25—24—46—45—44—48—47—69—68—67—50—51—66—65—71—72—64—63—62—61—41—60—59—58—55—52—53—54—42—43—28—27—26—29—30—31—32—35—38—36—37—18—17—16—15—14—13—12—9—10—5—6—7—3—2—75—77 RING 1 --- 23 | cost [9655.0] 1 --- 77 | cost [0.0] 2 --- 3 | cost [14630.0] 2 --- 75 | cost [18200.0] 3 --- 7 | cost [8140.0] 5 --- 6 | cost [5575.0] 5 --- 10 | cost [6815.0] 6 --- 7 | cost [4530.0] 9 --- 10 | cost [3500.0] 9 --- 12 | cost [8075.0] 12 --- 13 | cost [5820.0] 13 --- 14 | cost [2610.0] 14 --- 15 | cost [8730.0] 15 --- 16 | cost [3500.0] 16 --- 17 | cost [7560.0] 17 --- 18 | cost [3335.0] 18 --- 37 | cost [2750.0] 21 --- 22 | cost [5965.0] 21 --- 25 | cost [2750.0] 22 --- 23 | cost [7165.0] 24 --- 25 | cost [5590.0] 24 --- 46 | cost [9655.0] 26 --- 27 | cost [3500.0] 26 --- 29 | cost [6840.0] 27 --- 28 | cost [6845.0] 28 --- 43 | cost [5265.0] 29 --- 30 | cost [4530.0] 30 --- 31 | cost [2915.0] 31 --- 32 | cost [10000.0] 32 --- 35 | cost [8075.0] 35 --- 38 | cost [8055.0] 36 --- 37 | cost [2610.0] 36 --- 38 | cost [6950.0] 41 --- 60 | cost [2750.0] 41 --- 61 | cost [11305.0] 42 --- 43 | cost [3580.0] 42 --- 54 | cost [2750.0] 44 --- 45 | cost [5965.0] 44 --- 48 | cost [2750.0] 45 --- 46 | cost [7165.0] 47 --- 48 | cost [5590.0] 47 --- 69 | cost [9655.0] 50 --- 51 | cost [6845.0] 50 --- 67 | cost [15500.0] 51 --- 66 | cost [5265.0] 52 --- 53 | cost [4530.0] 52 --- 55 | cost [6820.0] 53 --- 54 | cost [2915.0] 55 --- 58 | cost [8075.0] 58 --- 59 | cost [5820.0] 59 --- 60 | cost [2610.0] 61 --- 62 | cost [3500.0] 62 --- 63 | cost [7560.0] 63 --- 64 | cost [3335.0] 64 --- 72 | cost [15735.0] 65 --- 66 | cost [3580.0] 65 --- 71 | cost [20350.0] 67 --- 68 | cost [5965.0] 68 --- 69 | cost [7165.0] 71 --- 72 | cost [9500.0] 75 --- 77 | cost [18030.0] STAR 4 --> 3 | cost [3500.0] 8 --> 7 | cost [2915.0] 11 --> 12 | cost [5590.0] 19 --> 31 | cost [2750.0] 20 --> 5 | cost [5265.0] 33 --> 32 | cost [3500.0] 34 --> 35 | cost [5590.0] 39 --> 38 | cost [3500.0] 40 --> 41 | cost [3335.0] 49 --> 50 | cost [3500.0] 56 --> 55 | cost [3500.0] 57 --> 58 | cost [5590.0] 70 --> 68 | cost [19730.0] 73 --> 72 | cost [1500.0] 74 --> 14 | cost [15790.0] 76 --> 75 | cost [1500.0] BACKUP RING 1 --- 22 | cost [152.5] 2 --- 7 | cost [184.20000000000002] 2 --- 77 | cost [55.9] 3 --- 6 | cost [68.4] 3 --- 75 | cost [323.55] 5 --- 7 | cost [100.7] 5 --- 9 | cost [81.2] 6 --- 10 | cost [81.25] 9 --- 13 | cost [129.75] 10 --- 12 | cost [92.05] 12 --- 14 | cost [82.85000000000001] 13 --- 15 | cost [69.5] 14 --- 16 | cost [120.2] 15 --- 17 | cost [106.35000000000001] 16 --- 18 | cost [101.25] 17 --- 37 | cost [60.45] 18 --- 36 | cost [53.050000000000004] 21 --- 23 | cost [127.5] 21 --- 24 | cost [72.5] 22 --- 25 | cost [78.10000000000001] 24 --- 45 | cost [152.5] 25 --- 46 | cost [143.0] 26 --- 28 | cost [81.45] 26 --- 30 | cost [81.4] 27 --- 29 | cost [81.4] 27 --- 43 | cost [86.65] 28 --- 42 | cost [84.9] 29 --- 31 | cost [70.05] 30 --- 32 | cost [93.0] 31 --- 35 | cost [156.45000000000002] 32 --- 38 | cost [160.0] 35 --- 36 | cost [58.2] 37 --- 38 | cost [87.3] 41 --- 59 | cost [53.050000000000004] 41 --- 62 | cost [146.75] 42 --- 53 | cost [54.6] 43 --- 54 | cost [61.85] 44 --- 46 | cost [127.5] 44 --- 47 | cost [72.5] 45 --- 48 | cost [78.10000000000001] 47 --- 68 | cost [152.5] 48 --- 69 | cost [143.0] 50 --- 66 | cost [86.65] 50 --- 68 | cost [183.45000000000002] 51 --- 65 | cost [84.9] 51 --- 67 | cost [208.1] 52 --- 54 | cost [70.05] 52 --- 58 | cost [147.5] 53 --- 55 | cost [93.0] 55 --- 59 | cost [129.75] 58 --- 60 | cost [82.85000000000001] 60 --- 61 | cost [87.3] 61 --- 63 | cost [106.35000000000001] 62 --- 64 | cost [101.25] 63 --- 72 | cost [190.6] 64 --- 71 | cost [157.35] 65 --- 72 | cost [276.7] 66 --- 71 | cost [237.85] 67 --- 69 | cost [127.5] BACKUP STAR 4 --> 5 | cost [68.45] 8 --> 6 | cost [70.05] 11 --> 17 | cost [64.0] 19 --> 30 | cost [54.6] 20 --> 31 | cost [61.85] 33 --> 28 | cost [68.15] 34 --> 38 | cost [91.9] 39 --> 35 | cost [91.9] 40 --> 60 | cost [60.45] 49 --> 52 | cost [68.4] 56 --> 51 | cost [68.15] 57 --> 63 | cost [64.0] 70 --> 67 | cost [195.25] 73 --> 71 | cost [110.0] 74 --> 13 | cost [183.85] 76 --> 1 | cost [185.8] B = 323.55 i★ = 3 j★ = 2 k★ = 75
——————— Fri, 12 Jan 2024 13:03:34 ————————— seperate y_ij <= y_jj - x_ij on lazy constraints ————————— use blossom = false ILP ——— 74 hubs —— 1—75—76—16—15—11—43—28—42—54—53—56—55—65—66—67—50—49—51—52—44—20—19—29—35—32—33—34—40—59—41—22—21—4—3—25—48—47—45—46—24—23—30—31—8—7—10—13—6—5—9—74—26—27—12—69—68—70—73—72—71—64—63—62—61—58—60—39—38—36—37—17—18—77 total time 3618.34 (TL 3600) gap 0.565 blossom time 0 nb blossom 0.0 LB <= UB 518910.49<=1193205 subtour 9047.0 connectivity cuts 0.0 uc strategy 0 uc tolerance 0.01 tildeV 2:76 2-opt strategy 0 explored_nodes 1130 n lazycuts edges 0.0 F 183.0 post procedure true o_i 0
Found solution RING NODES 1—75—76—16—15—11—43—28—42—54—53—56—55—65—66—67—50—49—51—52—44—20—19—29—35—32—33—34—40—59—41—22—21—4—3—25—48—47—45—46—24—23—30—31—8—7—10—13—6—5—9—74—26—27—12—69—68—70—73—72—71—64—63—62—61—58—60—39—38—36—37—17—18—77 RING 1 --- 75 | cost [18030.0] 3 --- 4 | cost [3500.0] 3 --- 25 | cost [19955.0] 4 --- 21 | cost [15500.0] 5 --- 6 | cost [5575.0] 5 --- 9 | cost [8120.0] 6 --- 13 | cost [19020.0] 7 --- 8 | cost [2915.0] 7 --- 10 | cost [11715.0] 8 --- 31 | cost [23750.0] 9 --- 74 | cost [29290.0] 10 --- 13 | cost [14800.0] 11 --- 15 | cost [9190.0] 11 --- 43 | cost [32845.0] 12 --- 27 | cost [35540.0] 12 --- 69 | cost [67040.0] 15 --- 16 | cost [3500.0] 16 --- 76 | cost [60160.0] 17 --- 18 | cost [3335.0] 17 --- 37 | cost [6045.0] 18 --- 77 | cost [47040.0] 19 --- 20 | cost [3580.0] 19 --- 29 | cost [9745.0] 20 --- 44 | cost [32590.0] 21 --- 22 | cost [5965.0] 22 --- 41 | cost [50985.0] 23 --- 24 | cost [15160.0] 23 --- 30 | cost [30545.0] 24 --- 46 | cost [9655.0] 25 --- 48 | cost [23750.0] 26 --- 27 | cost [3500.0] 26 --- 74 | cost [56385.0] 28 --- 42 | cost [8490.0] 28 --- 43 | cost [5265.0] 29 --- 35 | cost [14750.0] 30 --- 31 | cost [2915.0] 32 --- 33 | cost [3500.0] 32 --- 35 | cost [8075.0] 33 --- 34 | cost [8085.0] 34 --- 40 | cost [6400.0] 36 --- 37 | cost [2610.0] 36 --- 38 | cost [6950.0] 38 --- 39 | cost [3500.0] 39 --- 60 | cost [12740.0] 40 --- 59 | cost [8500.0] 41 --- 59 | cost [5305.0] 42 --- 54 | cost [2750.0] 44 --- 52 | cost [21350.0] 45 --- 46 | cost [7165.0] 45 --- 47 | cost [8500.0] 47 --- 48 | cost [5590.0] 49 --- 50 | cost [3500.0] 49 --- 51 | cost [8145.0] 50 --- 67 | cost [15500.0] 51 --- 52 | cost [5575.0] 53 --- 54 | cost [2915.0] 53 --- 56 | cost [11715.0] 55 --- 56 | cost [3500.0] 55 --- 65 | cost [14320.0] 58 --- 60 | cost [8285.0] 58 --- 61 | cost [8055.0] 61 --- 62 | cost [3500.0] 62 --- 63 | cost [7560.0] 63 --- 64 | cost [3335.0] 64 --- 71 | cost [15735.0] 65 --- 66 | cost [3580.0] 66 --- 67 | cost [18535.0] 68 --- 69 | cost [7165.0] 68 --- 70 | cost [19730.0] 70 --- 73 | cost [57000.0] 71 --- 72 | cost [9500.0] 72 --- 73 | cost [1500.0] 75 --- 76 | cost [1500.0] STAR 2 --> 1 | cost [5590.0] 14 --> 13 | cost [2610.0] 57 --> 58 | cost [5590.0] BACKUP RING 1 --- 76 | cost [185.8] 3 --- 21 | cost [178.6] 3 --- 48 | cost [413.55] 4 --- 22 | cost [183.45000000000002] 4 --- 25 | cost [173.25] 5 --- 13 | cost [210.35] 5 --- 74 | cost [371.55] 6 --- 9 | cost [68.2] 6 --- 10 | cost [81.25] 7 --- 13 | cost [192.5] 7 --- 31 | cost [213.05] 8 --- 10 | cost [129.7] 8 --- 30 | cost [262.95] 9 --- 26 | cost [273.2] 11 --- 16 | cost [80.55] 11 --- 28 | cost [279.5] 12 --- 26 | cost [328.2] 12 --- 68 | cost [700.0] 15 --- 43 | cost [409.2] 15 --- 76 | cost [587.3000000000001] 16 --- 75 | cost [588.1] 17 --- 36 | cost [85.0] 17 --- 77 | cost [451.55] 18 --- 37 | cost [27.5] 19 --- 35 | cost [170.45000000000002] 19 --- 44 | cost [308.90000000000003] 20 --- 29 | cost [129.85] 20 --- 52 | cost [367.25] 21 --- 41 | cost [450.25] 22 --- 59 | cost [533.5] 23 --- 31 | cost [307.90000000000003] 23 --- 46 | cost [237.5] 24 --- 30 | cost [232.5] 24 --- 45 | cost [152.5] 25 --- 47 | cost [267.2] 27 --- 69 | cost [315.40000000000003] 27 --- 74 | cost [592.9] 28 --- 54 | cost [112.35000000000001] 29 --- 32 | cost [68.2] 32 --- 34 | cost [92.15] 33 --- 35 | cost [92.05] 33 --- 40 | cost [133.1] 34 --- 59 | cost [142.0] 36 --- 39 | cost [99.55] 37 --- 38 | cost [87.3] 38 --- 60 | cost [161.35] 39 --- 58 | cost [208.05] 40 --- 41 | cost [33.35] 42 --- 43 | cost [35.800000000000004] 42 --- 53 | cost [54.6] 44 --- 51 | cost [244.0] 45 --- 48 | cost [78.10000000000001] 46 --- 47 | cost [151.6] 49 --- 52 | cost [68.4] 49 --- 67 | cost [178.6] 50 --- 51 | cost [68.45] 50 --- 66 | cost [86.65] 53 --- 55 | cost [93.0] 54 --- 56 | cost [129.7] 55 --- 66 | cost [123.0] 56 --- 65 | cost [112.35000000000001] 58 --- 62 | cost [91.9] 60 --- 61 | cost [87.3] 61 --- 63 | cost [106.35000000000001] 62 --- 64 | cost [101.25] 63 --- 71 | cost [186.85] 64 --- 72 | cost [157.35] 65 --- 67 | cost [197.5] 68 --- 73 | cost [527.55] 69 --- 70 | cost [248.25] 70 --- 72 | cost [555.0] 71 --- 73 | cost [110.0] BACKUP STAR 14 --> 12 | cost [82.85000000000001] 57 --> 63 | cost [64.0] B = 700.0 i★ = 12 j★ = 69 k★ = 68
——————— Fri, 12 Jan 2024 14:04:32 ————————— seperate y_ij <= y_jj - x_ij on lazy constraints ————————— use blossom = false BD —— 65 hubs —— 1-75-2-7-14-74-16-15-17-11-12-18-37-36-31-19-20-5-6-4-3-8-9-26-27-54-53-50-66-65-71-73-72-57-58-61-62-63-64-56-55-28-29-33-43-59-60-41-40-39-38-30-44-47-67-68-69-45-46-24-25-21-22-23-77-1 total time 3608.54 (TL 3600) gap 0.388 blossom time 0 nb blossom 0.0 LB <= UB 483175<=788861.75 Master/SP costs 708845/80016.75 Master time 3602.11 SP time 6.43 subtour 71257.0 connectivity cuts 0.0 uc strategy 0 uc tolerance 0.01 opt. cuts 54.0 SP method poly tildeV 2:76 inst transformation 2 2-opt strategy 0 explored nodes 19227 F 183.0 o_i 0
Found solution RING NODES 1—75—2—7—14—74—16—15—17—11—12—18—37—36—31—19—20—5—6—4—3—8—9—26—27—54—53—50—66—65—71—73—72—57—58—61—62—63—64—56—55—28—29—33—43—59—60—41—40—39—38—30—44—47—67—68—69—45—46—24—25—21—22—23—77 RING 1 --- 75 | cost [18030.0] 2 --- 7 | cost [18420.0] 2 --- 75 | cost [18200.0] 3 --- 4 | cost [3500.0] 3 --- 8 | cost [10965.0] 4 --- 6 | cost [8140.0] 5 --- 6 | cost [5575.0] 5 --- 20 | cost [5265.0] 7 --- 14 | cost [20155.0] 8 --- 9 | cost [10000.0] 9 --- 26 | cost [27320.0] 11 --- 12 | cost [5590.0] 11 --- 17 | cost [6400.0] 12 --- 18 | cost [14740.0] 14 --- 74 | cost [15790.0] 15 --- 16 | cost [3500.0] 15 --- 17 | cost [10635.0] 16 --- 74 | cost [26145.0] 18 --- 37 | cost [2750.0] 19 --- 20 | cost [3580.0] 19 --- 31 | cost [2750.0] 21 --- 22 | cost [5965.0] 21 --- 25 | cost [2750.0] 22 --- 23 | cost [7165.0] 23 --- 77 | cost [9655.0] 24 --- 25 | cost [5590.0] 24 --- 46 | cost [9655.0] 26 --- 27 | cost [3500.0] 27 --- 54 | cost [14365.0] 28 --- 29 | cost [5575.0] 28 --- 55 | cost [20355.0] 29 --- 33 | cost [8125.0] 30 --- 38 | cost [24135.0] 30 --- 44 | cost [25985.0] 31 --- 36 | cost [17925.0] 33 --- 43 | cost [9765.0] 36 --- 37 | cost [2610.0] 38 --- 39 | cost [3500.0] 39 --- 40 | cost [7560.0] 40 --- 41 | cost [3335.0] 41 --- 60 | cost [2750.0] 43 --- 59 | cost [21045.0] 44 --- 47 | cost [7250.0] 45 --- 46 | cost [7165.0] 45 --- 69 | cost [17845.0] 47 --- 67 | cost [19165.0] 50 --- 53 | cost [10815.0] 50 --- 66 | cost [8665.0] 53 --- 54 | cost [2915.0] 55 --- 56 | cost [3500.0] 56 --- 64 | cost [15700.0] 57 --- 58 | cost [5590.0] 57 --- 72 | cost [25205.0] 58 --- 61 | cost [8055.0] 59 --- 60 | cost [2610.0] 61 --- 62 | cost [3500.0] 62 --- 63 | cost [7560.0] 63 --- 64 | cost [3335.0] 65 --- 66 | cost [3580.0] 65 --- 71 | cost [20350.0] 67 --- 68 | cost [5965.0] 68 --- 69 | cost [7165.0] 71 --- 73 | cost [11000.0] 72 --- 73 | cost [1500.0] STAR 10 --> 9 | cost [3500.0] 13 --> 14 | cost [2610.0] 32 --> 33 | cost [3500.0] 34 --> 40 | cost [6400.0] 35 --> 36 | cost [5820.0] 42 --> 54 | cost [2750.0] 48 --> 44 | cost [2750.0] 49 --> 50 | cost [3500.0] 51 --> 66 | cost [5265.0] 52 --> 53 | cost [4530.0] 70 --> 67 | cost [19525.0] 76 --> 75 | cost [1500.0] BACKUP RING 1 --- 2 | cost [55.9] 2 --- 14 | cost [382.5] 3 --- 6 | cost [68.4] 3 --- 9 | cost [135.0] 4 --- 5 | cost [68.45] 4 --- 8 | cost [137.3] 5 --- 19 | cost [84.9] 6 --- 20 | cost [108.10000000000001] 7 --- 74 | cost [312.75] 7 --- 75 | cost [338.3] 8 --- 26 | cost [326.25] 9 --- 27 | cost [304.1] 11 --- 15 | cost [91.9] 11 --- 18 | cost [95.65] 12 --- 17 | cost [114.2] 12 --- 37 | cost [173.8] 14 --- 16 | cost [120.2] 15 --- 74 | cost [226.65] 16 --- 17 | cost [75.60000000000001] 18 --- 36 | cost [53.050000000000004] 19 --- 36 | cost [185.1] 20 --- 31 | cost [61.85] 21 --- 23 | cost [127.5] 21 --- 24 | cost [72.5] 22 --- 25 | cost [78.10000000000001] 22 --- 77 | cost [152.5] 24 --- 45 | cost [152.5] 25 --- 46 | cost [143.0] 26 --- 54 | cost [174.45000000000002] 27 --- 53 | cost [159.25] 28 --- 33 | cost [68.15] 28 --- 56 | cost [236.9] 29 --- 43 | cost [108.10000000000001] 29 --- 55 | cost [256.85] 30 --- 39 | cost [251.65] 30 --- 47 | cost [332.35] 31 --- 37 | cost [185.0] 33 --- 59 | cost [188.6] 38 --- 40 | cost [106.35000000000001] 38 --- 44 | cost [437.25] 39 --- 41 | cost [101.25] 40 --- 60 | cost [60.45] 41 --- 59 | cost [53.050000000000004] 43 --- 60 | cost [208.8] 44 --- 67 | cost [237.5] 45 --- 68 | cost [237.5] 46 --- 69 | cost [237.5] 47 --- 68 | cost [152.5] 50 --- 54 | cost [137.3] 50 --- 65 | cost [121.05] 53 --- 66 | cost [152.5] 55 --- 64 | cost [180.35] 56 --- 63 | cost [133.1] 57 --- 61 | cost [91.9] 57 --- 73 | cost [257.9] 58 --- 62 | cost [91.9] 58 --- 72 | cost [304.75] 61 --- 63 | cost [106.35000000000001] 62 --- 64 | cost [101.25] 65 --- 73 | cost [289.40000000000003] 66 --- 71 | cost [237.85] 67 --- 69 | cost [127.5] 71 --- 72 | cost [95.0] BACKUP STAR 10 --> 5 | cost [68.15] 13 --> 12 | cost [58.2] 32 --> 29 | cost [68.2] 34 --> 39 | cost [80.55] 35 --> 38 | cost [80.55] 42 --> 43 | cost [35.800000000000004] 48 --> 47 | cost [55.9] 49 --> 53 | cost [81.4] 51 --> 56 | cost [68.15] 52 --> 55 | cost [68.2] 70 --> 68 | cost [197.3] 76 --> 1 | cost [185.8] B = 437.25 i★ = 38 j★ = 30 k★ = 44