------------------------------------------------------------
                        α=5.0 —— kroB100 —— 100 nodes       
------------------------------------------------------------

——————— Mon, 08 Jan 2024 12:14:30 ————————— seperate y_ij <= y_jj - x_ij on lazy constraints ————————— use blossom = false
BD  —— 78 hubs —— 1-90-21-10-68-86-49-30-80-20-38-46-25-9-27-61-94-57-7-84-58-52-43-89-60-87-4-6-15-33-64-82-48-31-63-13-78-17-45-36-92-96-18-24-77-50-55-22-88-37-65-79-81-56-100-26-62-5-67-40-39-70-53-73-85-93-11-3-28-91-97-99-76-59-32-98-12-101-1
total time           93.79                gap                  0.0                  
blossom time         0                    nb blossom           0.0                  
LB <= UB             105010.95<=105010.95 Master/SP costs      104550/460.95        
Master time          92.62                SP time              1.17                 
subtour              2144.0               connectivity cuts    1323.0               
uc strategy          4                    uc tolerance         0.01                 
opt. cuts            8.0                  SP method            poly                 
tildeV               2:100                inst transformation  2                    
2-opt strategy       0                                                              
explored nodes       1427                 
F                    7.0                  
                                          o_i                  0                                                              
                                          
Found solution
RING NODES
1—90—21—10—68—86—49—30—80—20—38—46—25—9—27—61—94—57—7—84—58—52—43—89—60—87—4—6—15—33—64—82—48—31—63—13—78—17—45—36—92—96—18—24—77—50—55—22—88—37—65—79—81—56—100—26—62—5—67—40—39—70—53—73—85—93—11—3—28—91—97—99—76—59—32—98—12—101

RING
1  --- 90 | cost [745.0]
1  --- 101 | cost [0.0]
3  --- 11 | cost [950.0]
3  --- 28 | cost [1720.0]
4  ---  6 | cost [1120.0]
4  --- 87 | cost [2100.0]
5  --- 62 | cost [1530.0]
5  --- 67 | cost [1145.0]
6  --- 15 | cost [1290.0]
7  --- 57 | cost [1330.0]
7  --- 84 | cost [155.0]
9  --- 25 | cost [150.0]
9  --- 27 | cost [1470.0]
10 --- 21 | cost [1945.0]
10 --- 68 | cost [645.0]
11 --- 93 | cost [270.0]
12 --- 98 | cost [935.0]
12 --- 101 | cost [1315.0]
13 --- 63 | cost [1325.0]
13 --- 78 | cost [850.0]
15 --- 33 | cost [930.0]
17 --- 45 | cost [720.0]
17 --- 78 | cost [1280.0]
18 --- 24 | cost [765.0]
18 --- 96 | cost [1625.0]
20 --- 38 | cost [425.0]
20 --- 80 | cost [210.0]
21 --- 90 | cost [765.0]
22 --- 55 | cost [1830.0]
22 --- 88 | cost [565.0]
24 --- 77 | cost [960.0]
25 --- 46 | cost [310.0]
26 --- 62 | cost [905.0]
26 --- 100 | cost [440.0]
27 --- 61 | cost [1205.0]
28 --- 91 | cost [320.0]
30 --- 49 | cost [1260.0]
30 --- 80 | cost [880.0]
31 --- 48 | cost [625.0]
31 --- 63 | cost [830.0]
32 --- 59 | cost [780.0]
32 --- 98 | cost [1190.0]
33 --- 64 | cost [1420.0]
36 --- 45 | cost [385.0]
36 --- 92 | cost [1140.0]
37 --- 65 | cost [1715.0]
37 --- 88 | cost [3815.0]
38 --- 46 | cost [2325.0]
39 --- 40 | cost [800.0]
39 --- 70 | cost [545.0]
40 --- 67 | cost [1640.0]
43 --- 52 | cost [1595.0]
43 --- 89 | cost [1050.0]
48 --- 82 | cost [2025.0]
49 --- 86 | cost [130.0]
50 --- 55 | cost [1835.0]
50 --- 77 | cost [1890.0]
52 --- 58 | cost [1230.0]
53 --- 70 | cost [1150.0]
53 --- 73 | cost [1735.0]
56 --- 81 | cost [1985.0]
56 --- 100 | cost [320.0]
57 --- 94 | cost [790.0]
58 --- 84 | cost [270.0]
59 --- 76 | cost [700.0]
60 --- 87 | cost [1165.0]
60 --- 89 | cost [1765.0]
61 --- 94 | cost [1370.0]
64 --- 82 | cost [1125.0]
65 --- 79 | cost [960.0]
68 --- 86 | cost [1435.0]
73 --- 85 | cost [440.0]
76 --- 99 | cost [615.0]
79 --- 81 | cost [880.0]
85 --- 93 | cost [1400.0]
91 --- 97 | cost [1000.0]
92 --- 96 | cost [690.0]
97 --- 99 | cost [610.0]

STAR
2  --> 13 | cost [920.0]
8  --> 99 | cost [210.0]
14 --> 64 | cost [605.0]
16 --> 77 | cost [1300.0]
19 --> 92 | cost [370.0]
23 --> 22 | cost [235.0]
29 --> 99 | cost [645.0]
34 --> 57 | cost [1210.0]
35 --> 61 | cost [530.0]
41 --> 17 | cost [810.0]
42 --> 64 | cost [1270.0]
44 --> 92 | cost [1665.0]
47 --> 79 | cost [1255.0]
51 --> 48 | cost [2305.0]
54 --> 52 | cost [945.0]
66 --> 87 | cost [1780.0]
69 --> 26 | cost [775.0]
71 --> 12 | cost [985.0]
72 --> 37 | cost [540.0]
74 --> 60 | cost [560.0]
75 --> 30 | cost [295.0]
83 -->  4 | cost [1105.0]
95 -->  1 | cost [480.0]

BACKUP RING
1  --- 21 | cost [12.9]
3  --- 91 | cost [17.95]
3  --- 93 | cost [12.1]
4  --- 15 | cost [24.05]
4  --- 60 | cost [32.6]
5  --- 26 | cost [24.2]
5  --- 40 | cost [17.3]
6  --- 33 | cost [13.9]
6  --- 87 | cost [31.55]
7  --- 58 | cost [4.1]
7  --- 94 | cost [21.25]
9  --- 46 | cost [3.7]
9  --- 61 | cost [26.6]
10 --- 86 | cost [18.8]
10 --- 90 | cost [26.7]
11 --- 28 | cost [17.8]
11 --- 85 | cost [15.4]
12 --- 32 | cost [20.150000000000002]
13 --- 17 | cost [20.5]
13 --- 31 | cost [21.55]
15 --- 64 | cost [23.45]
17 --- 36 | cost [8.0]
18 --- 77 | cost [12.65]
18 --- 92 | cost [22.95]
20 --- 30 | cost [10.25]
20 --- 46 | cost [26.8]
21 --- 68 | cost [21.2]
22 --- 37 | cost [43.75]
22 --- 50 | cost [35.6]
24 --- 50 | cost [26.85]
24 --- 96 | cost [21.3]
25 --- 27 | cost [15.950000000000001]
25 --- 38 | cost [25.1]
26 --- 56 | cost [7.6000000000000005]
27 --- 94 | cost [15.200000000000001]
28 --- 97 | cost [13.200000000000001]
30 --- 86 | cost [13.65]
31 --- 82 | cost [26.35]
32 --- 76 | cost [13.450000000000001]
33 --- 82 | cost [14.15]
36 --- 96 | cost [9.1]
37 --- 79 | cost [26.75]
38 --- 80 | cost [6.3]
39 --- 53 | cost [11.950000000000001]
39 --- 67 | cost [18.3]
40 --- 70 | cost [13.200000000000001]
43 --- 58 | cost [25.5]
43 --- 60 | cost [22.25]
45 --- 78 | cost [15.450000000000001]
45 --- 92 | cost [15.0]
48 --- 63 | cost [9.05]
48 --- 64 | cost [30.45]
49 --- 68 | cost [14.450000000000001]
49 --- 80 | cost [14.950000000000001]
52 --- 84 | cost [14.1]
52 --- 89 | cost [24.3]
53 --- 85 | cost [21.150000000000002]
55 --- 77 | cost [21.0]
55 --- 88 | cost [19.7]
56 --- 79 | cost [20.6]
57 --- 61 | cost [20.95]
57 --- 84 | cost [14.8]
59 --- 98 | cost [19.650000000000002]
59 --- 99 | cost [10.55]
62 --- 67 | cost [26.45]
62 --- 100 | cost [11.6]
63 --- 78 | cost [20.75]
65 --- 81 | cost [17.75]
65 --- 88 | cost [44.550000000000004]
70 --- 73 | cost [28.6]
73 --- 93 | cost [17.8]
76 --- 97 | cost [8.05]
81 --- 100 | cost [22.55]
87 --- 89 | cost [15.4]
91 --- 99 | cost [13.4]
98 --- 101 | cost [11.450000000000001]

BACKUP STAR
2  --> 78 | cost [12.950000000000001]
8  --> 76 | cost [7.8500000000000005]
14 --> 82 | cost [15.9]
16 --> 78 | cost [17.85]
19 --> 96 | cost [7.6000000000000005]
23 --> 88 | cost [6.4]
29 --> 32 | cost [8.65]
34 -->  7 | cost [14.700000000000001]
35 --> 27 | cost [16.85]
41 --> 36 | cost [10.6]
42 --> 82 | cost [13.0]
44 --> 96 | cost [23.55]
47 --> 65 | cost [13.0]
51 --> 31 | cost [24.95]
54 --> 58 | cost [17.2]
66 --> 60 | cost [21.35]
69 --> 100 | cost [11.75]
71 --> 27 | cost [13.0]
72 --> 65 | cost [21.3]
74 --> 87 | cost [13.450000000000001]
75 --> 80 | cost [10.6]
83 -->  6 | cost [13.75]

B = 65.85000000000001
i★ = 65
j★ = 37
k★ = 88

       
——————— Thu, 11 Jan 2024 01:07:30 ————————— seperate y_ij <= y_jj - x_ij on lazy constraints ————————— use blossom = false
ILP ——— 81 hubs —— 1—71—10—52—100—79—12—56—94—32—99—65—9—81—60—87—4—27—58—59—80—7—61—43—84—16—14—96—92—36—45—18—24—77—64—82—6—15—33—2—42—48—31—63—13—78—88—23—22—55—89—37—72—30—75—76—57—97—98—11—93—28—91—3—49—68—20—90—86—26—69—62—5—67—40—39—70—53—73—85—101
total time           3739.6 (TL 3600)     gap                  0.629                
blossom time         0                    nb blossom           0.0                  
LB <= UB             102612.57<=276572.1  subtour              3942.0               
connectivity cuts    0.0                  uc strategy          0                    
uc tolerance         0.01                 tildeV               2:100                
2-opt strategy       0                                                              
explored_nodes       1052                 n lazycuts edges     0.0                  
F                    7.0                  post procedure       true                 
o_i                  0                                                                                                                                                  
Found solution
RING NODES
1—71—10—52—100—79—12—56—94—32—99—65—9—81—60—87—4—27—58—59—80—7—61—43—84—16—14—96—92—36—45—18—24—77—64—82—6—15—33—2—42—48—31—63—13—78—88—23—22—55—89—37—72—30—75—76—57—97—98—11—93—28—91—3—49—68—20—90—86—26—69—62—5—67—40—39—70—53—73—85—101

RING
1  --- 71 | cost [2195.0]
2  --- 33 | cost [3535.0]
2  --- 42 | cost [1085.0]
3  --- 49 | cost [4870.0]
3  --- 91 | cost [1795.0]
4  --- 27 | cost [6745.0]
4  --- 87 | cost [2100.0]
5  --- 62 | cost [1530.0]
5  --- 67 | cost [1145.0]
6  --- 15 | cost [1290.0]
6  --- 82 | cost [2760.0]
7  --- 61 | cost [3380.0]
7  --- 80 | cost [4680.0]
9  --- 65 | cost [4635.0]
9  --- 81 | cost [6245.0]
10 --- 52 | cost [8295.0]
10 --- 71 | cost [4875.0]
11 --- 93 | cost [270.0]
11 --- 98 | cost [3800.0]
12 --- 56 | cost [7310.0]
12 --- 79 | cost [7050.0]
13 --- 63 | cost [1325.0]
13 --- 78 | cost [850.0]
14 --- 16 | cost [2220.0]
14 --- 96 | cost [5500.0]
15 --- 33 | cost [930.0]
16 --- 84 | cost [6415.0]
18 --- 24 | cost [765.0]
18 --- 45 | cost [1360.0]
20 --- 68 | cost [2885.0]
20 --- 90 | cost [3175.0]
22 --- 23 | cost [235.0]
22 --- 55 | cost [1830.0]
23 --- 88 | cost [640.0]
24 --- 77 | cost [960.0]
26 --- 69 | cost [775.0]
26 --- 86 | cost [2790.0]
27 --- 58 | cost [3190.0]
28 --- 91 | cost [320.0]
28 --- 93 | cost [1945.0]
30 --- 72 | cost [3195.0]
30 --- 75 | cost [295.0]
31 --- 48 | cost [625.0]
31 --- 63 | cost [830.0]
32 --- 94 | cost [5415.0]
32 --- 99 | cost [1385.0]
36 --- 45 | cost [385.0]
36 --- 92 | cost [1140.0]
37 --- 72 | cost [540.0]
37 --- 89 | cost [5610.0]
39 --- 40 | cost [800.0]
39 --- 70 | cost [545.0]
40 --- 67 | cost [1640.0]
42 --- 48 | cost [2340.0]
43 --- 61 | cost [5550.0]
43 --- 84 | cost [2605.0]
49 --- 68 | cost [1445.0]
52 --- 100 | cost [7645.0]
53 --- 70 | cost [1150.0]
53 --- 73 | cost [1735.0]
55 --- 89 | cost [3920.0]
56 --- 94 | cost [8435.0]
57 --- 76 | cost [7185.0]
57 --- 97 | cost [7865.0]
58 --- 59 | cost [7855.0]
59 --- 80 | cost [7055.0]
60 --- 81 | cost [8655.0]
60 --- 87 | cost [1165.0]
62 --- 69 | cost [1255.0]
64 --- 77 | cost [3830.0]
64 --- 82 | cost [1125.0]
65 --- 99 | cost [9215.0]
73 --- 85 | cost [440.0]
75 --- 76 | cost [8005.0]
78 --- 88 | cost [6605.0]
79 --- 100 | cost [2240.0]
85 --- 101 | cost [3865.0]
86 --- 90 | cost [2515.0]
92 --- 96 | cost [690.0]
97 --- 98 | cost [3010.0]

STAR
8  --> 99 | cost [210.0]
17 --> 45 | cost [720.0]
19 --> 92 | cost [370.0]
21 --> 90 | cost [765.0]
25 -->  9 | cost [150.0]
29 --> 99 | cost [645.0]
34 --> 57 | cost [1210.0]
35 --> 61 | cost [530.0]
38 --> 20 | cost [425.0]
41 --> 36 | cost [1060.0]
44 --> 92 | cost [1665.0]
46 -->  9 | cost [370.0]
47 --> 79 | cost [1255.0]
50 --> 43 | cost [1745.0]
51 --> 48 | cost [2305.0]
54 --> 52 | cost [945.0]
66 --> 87 | cost [1780.0]
74 --> 60 | cost [560.0]
83 -->  4 | cost [1105.0]
95 -->  1 | cost [480.0]

BACKUP RING
1  --- 10 | cost [29.1]
2  --- 15 | cost [44.1]
2  --- 48 | cost [25.25]
3  --- 28 | cost [17.2]
3  --- 68 | cost [39.6]
4  --- 58 | cost [55.25]
4  --- 60 | cost [32.6]
5  --- 40 | cost [17.3]
5  --- 69 | cost [25.150000000000002]
6  --- 33 | cost [13.9]
6  --- 64 | cost [23.45]
7  --- 43 | cost [27.2]
7  --- 59 | cost [75.25]
9  --- 60 | cost [47.050000000000004]
9  --- 99 | cost [53.65]
10 --- 100 | cost [41.800000000000004]
11 --- 28 | cost [17.8]
11 --- 97 | cost [27.7]
12 --- 94 | cost [37.300000000000004]
12 --- 100 | cost [70.9]
13 --- 31 | cost [21.55]
13 --- 88 | cost [70.8]
14 --- 84 | cost [59.300000000000004]
14 --- 92 | cost [60.4]
15 --- 82 | cost [21.8]
16 --- 43 | cost [38.4]
16 --- 96 | cost [33.15]
18 --- 36 | cost [16.15]
18 --- 77 | cost [12.65]
20 --- 49 | cost [14.4]
20 --- 86 | cost [14.700000000000001]
22 --- 88 | cost [5.65]
22 --- 89 | cost [53.0]
23 --- 55 | cost [20.6]
23 --- 78 | cost [65.0]
24 --- 45 | cost [21.150000000000002]
24 --- 64 | cost [47.2]
26 --- 62 | cost [9.05]
26 --- 90 | cost [53.050000000000004]
27 --- 59 | cost [47.0]
27 --- 87 | cost [48.35]
30 --- 37 | cost [31.75]
30 --- 76 | cost [77.15]
31 --- 42 | cost [27.95]
32 --- 56 | cost [86.75]
32 --- 65 | cost [82.60000000000001]
33 --- 42 | cost [24.55]
36 --- 96 | cost [9.1]
37 --- 55 | cost [51.4]
39 --- 53 | cost [11.950000000000001]
39 --- 67 | cost [18.3]
40 --- 70 | cost [13.200000000000001]
45 --- 92 | cost [15.0]
48 --- 63 | cost [9.05]
49 --- 91 | cost [65.85]
52 --- 71 | cost [56.25]
52 --- 79 | cost [57.7]
53 --- 85 | cost [21.150000000000002]
56 --- 79 | cost [20.6]
57 --- 75 | cost [61.9]
57 --- 98 | cost [50.1]
58 --- 80 | cost [46.050000000000004]
61 --- 80 | cost [58.1]
61 --- 84 | cost [35.35]
62 --- 67 | cost [26.45]
63 --- 78 | cost [20.75]
65 --- 81 | cost [17.75]
68 --- 90 | cost [28.85]
69 --- 86 | cost [20.7]
70 --- 73 | cost [28.6]
72 --- 75 | cost [32.55]
72 --- 89 | cost [53.85]
73 --- 101 | cost [41.95]
76 --- 97 | cost [8.05]
77 --- 82 | cost [43.7]
81 --- 87 | cost [96.85000000000001]
91 --- 93 | cost [21.900000000000002]
93 --- 98 | cost [40.550000000000004]
94 --- 99 | cost [68.0]

BACKUP STAR
8  --> 76 | cost [7.8500000000000005]
17 --> 36 | cost [8.0]
19 --> 96 | cost [7.6000000000000005]
21 -->  1 | cost [12.9]
25 --> 27 | cost [15.950000000000001]
29 --> 32 | cost [8.65]
34 -->  7 | cost [14.700000000000001]
35 --> 27 | cost [16.85]
38 --> 80 | cost [6.3]
41 --> 45 | cost [12.65]
44 --> 96 | cost [23.55]
46 --> 90 | cost [18.2]
47 --> 65 | cost [13.0]
50 --> 55 | cost [18.35]
51 --> 31 | cost [24.95]
54 --> 58 | cost [17.2]
66 --> 60 | cost [21.35]
74 --> 87 | cost [13.450000000000001]
83 -->  6 | cost [13.75]

B = 110.30000000000001
i★ = 81
j★ = 60
k★ = 87

       
——————— Thu, 11 Jan 2024 02:08:39 ————————— seperate y_ij <= y_jj - x_ij on lazy constraints ————————— use blossom = false
BD  —— 78 hubs —— 1-90-21-10-68-86-49-30-80-20-38-46-25-71-27-61-94-57-7-84-58-52-43-89-60-87-4-6-15-33-64-14-42-48-31-63-13-78-45-36-17-41-92-96-18-24-77-55-22-88-37-47-79-56-100-26-62-5-67-40-39-70-53-73-85-93-11-3-28-91-97-99-76-59-32-98-95-101-1
total time           3603.86 (TL 3600)    gap                  0.031                
blossom time         0                    nb blossom           0.0                  
LB <= UB             104047.09<=107370.65 Master/SP costs      106930/440.65        
Master time          3599.54              SP time              4.33                 
subtour              43023.0              connectivity cuts    0.0                  
uc strategy          0                    uc tolerance         0.01                 
opt. cuts            18.0                 SP method            poly                 
tildeV               2:100                inst transformation  2                    
2-opt strategy       0                                                              
explored nodes       15394                
F                    7.0                  
                                          o_i                  0                                                              
                                          
Found solution
RING NODES
1—90—21—10—68—86—49—30—80—20—38—46—25—71—27—61—94—57—7—84—58—52—43—89—60—87—4—6—15—33—64—14—42—48—31—63—13—78—45—36—17—41—92—96—18—24—77—55—22—88—37—47—79—56—100—26—62—5—67—40—39—70—53—73—85—93—11—3—28—91—97—99—76—59—32—98—95—101

RING
1  --- 90 | cost [745.0]
3  --- 11 | cost [950.0]
3  --- 28 | cost [1720.0]
4  ---  6 | cost [1120.0]
4  --- 87 | cost [2100.0]
5  --- 62 | cost [1530.0]
5  --- 67 | cost [1145.0]
6  --- 15 | cost [1290.0]
7  --- 57 | cost [1330.0]
7  --- 84 | cost [155.0]
10 --- 21 | cost [1945.0]
10 --- 68 | cost [645.0]
11 --- 93 | cost [270.0]
13 --- 63 | cost [1325.0]
13 --- 78 | cost [850.0]
14 --- 42 | cost [1160.0]
14 --- 64 | cost [605.0]
15 --- 33 | cost [930.0]
17 --- 36 | cost [800.0]
17 --- 41 | cost [810.0]
18 --- 24 | cost [765.0]
18 --- 96 | cost [1625.0]
20 --- 38 | cost [425.0]
20 --- 80 | cost [210.0]
21 --- 90 | cost [765.0]
22 --- 55 | cost [1830.0]
22 --- 88 | cost [565.0]
24 --- 77 | cost [960.0]
25 --- 46 | cost [310.0]
25 --- 71 | cost [1795.0]
26 --- 62 | cost [905.0]
26 --- 100 | cost [440.0]
27 --- 61 | cost [1205.0]
27 --- 71 | cost [1300.0]
28 --- 91 | cost [320.0]
30 --- 49 | cost [1260.0]
30 --- 80 | cost [880.0]
31 --- 48 | cost [625.0]
31 --- 63 | cost [830.0]
32 --- 59 | cost [780.0]
32 --- 98 | cost [1190.0]
33 --- 64 | cost [1420.0]
36 --- 45 | cost [385.0]
37 --- 47 | cost [2560.0]
37 --- 88 | cost [3815.0]
38 --- 46 | cost [2325.0]
39 --- 40 | cost [800.0]
39 --- 70 | cost [545.0]
40 --- 67 | cost [1640.0]
41 --- 92 | cost [1580.0]
42 --- 48 | cost [2340.0]
43 --- 52 | cost [1595.0]
43 --- 89 | cost [1050.0]
45 --- 78 | cost [1545.0]
47 --- 79 | cost [1255.0]
49 --- 86 | cost [130.0]
52 --- 58 | cost [1230.0]
53 --- 70 | cost [1150.0]
53 --- 73 | cost [1735.0]
55 --- 77 | cost [2100.0]
56 --- 79 | cost [2060.0]
56 --- 100 | cost [320.0]
57 --- 94 | cost [790.0]
58 --- 84 | cost [270.0]
59 --- 76 | cost [700.0]
60 --- 87 | cost [1165.0]
60 --- 89 | cost [1765.0]
61 --- 94 | cost [1370.0]
68 --- 86 | cost [1435.0]
73 --- 85 | cost [440.0]
76 --- 99 | cost [615.0]
85 --- 93 | cost [1400.0]
91 --- 97 | cost [1000.0]
92 --- 96 | cost [690.0]
95 --- 98 | cost [1025.0]
95 --- 101 | cost [480.0]
97 --- 99 | cost [610.0]

STAR
2  --> 13 | cost [920.0]
8  --> 99 | cost [210.0]
9  --> 25 | cost [150.0]
12 --> 98 | cost [935.0]
16 --> 77 | cost [1300.0]
19 --> 92 | cost [370.0]
23 --> 22 | cost [235.0]
29 --> 99 | cost [645.0]
34 --> 57 | cost [1210.0]
35 --> 61 | cost [530.0]
44 --> 92 | cost [1665.0]
50 --> 43 | cost [1745.0]
51 --> 48 | cost [2305.0]
54 --> 52 | cost [945.0]
65 --> 79 | cost [960.0]
66 --> 87 | cost [1780.0]
69 --> 26 | cost [775.0]
72 --> 37 | cost [540.0]
74 --> 60 | cost [560.0]
75 --> 30 | cost [295.0]
81 --> 79 | cost [880.0]
82 --> 64 | cost [1125.0]
83 -->  4 | cost [1105.0]

BACKUP RING
1  --- 21 | cost [12.9]
3  --- 91 | cost [17.95]
3  --- 93 | cost [12.1]
4  --- 15 | cost [24.05]
4  --- 60 | cost [32.6]
5  --- 26 | cost [24.2]
5  --- 40 | cost [17.3]
6  --- 33 | cost [13.9]
6  --- 87 | cost [31.55]
7  --- 58 | cost [4.1]
7  --- 94 | cost [21.25]
10 --- 86 | cost [18.8]
10 --- 90 | cost [26.7]
11 --- 28 | cost [17.8]
11 --- 85 | cost [15.4]
13 --- 31 | cost [21.55]
13 --- 45 | cost [23.900000000000002]
14 --- 33 | cost [20.05]
14 --- 48 | cost [33.15]
15 --- 64 | cost [23.45]
17 --- 45 | cost [7.2]
17 --- 92 | cost [18.3]
18 --- 77 | cost [12.65]
18 --- 92 | cost [22.95]
20 --- 30 | cost [10.25]
20 --- 46 | cost [26.8]
21 --- 68 | cost [21.2]
22 --- 37 | cost [43.75]
22 --- 77 | cost [38.050000000000004]
24 --- 55 | cost [22.150000000000002]
24 --- 96 | cost [21.3]
25 --- 27 | cost [15.950000000000001]
25 --- 38 | cost [25.1]
26 --- 56 | cost [7.6000000000000005]
27 --- 94 | cost [15.200000000000001]
28 --- 97 | cost [13.200000000000001]
30 --- 86 | cost [13.65]
31 --- 42 | cost [27.95]
32 --- 76 | cost [13.450000000000001]
32 --- 95 | cost [18.75]
36 --- 41 | cost [10.6]
36 --- 78 | cost [18.6]
37 --- 79 | cost [26.75]
38 --- 80 | cost [6.3]
39 --- 53 | cost [11.950000000000001]
39 --- 67 | cost [18.3]
40 --- 70 | cost [13.200000000000001]
41 --- 96 | cost [17.75]
42 --- 64 | cost [12.700000000000001]
43 --- 58 | cost [25.5]
43 --- 60 | cost [22.25]
46 --- 71 | cost [18.25]
47 --- 56 | cost [32.25]
47 --- 88 | cost [39.300000000000004]
48 --- 63 | cost [9.05]
49 --- 68 | cost [14.450000000000001]
49 --- 80 | cost [14.950000000000001]
52 --- 84 | cost [14.1]
52 --- 89 | cost [24.3]
53 --- 85 | cost [21.150000000000002]
55 --- 88 | cost [19.7]
57 --- 61 | cost [20.95]
57 --- 84 | cost [14.8]
59 --- 98 | cost [19.650000000000002]
59 --- 99 | cost [10.55]
61 --- 71 | cost [18.55]
62 --- 67 | cost [26.45]
62 --- 100 | cost [11.6]
63 --- 78 | cost [20.75]
70 --- 73 | cost [28.6]
73 --- 93 | cost [17.8]
76 --- 97 | cost [8.05]
79 --- 100 | cost [22.400000000000002]
87 --- 89 | cost [15.4]
91 --- 99 | cost [13.4]
98 --- 101 | cost [11.450000000000001]

BACKUP STAR
2  --> 42 | cost [10.85]
8  --> 76 | cost [7.8500000000000005]
9  --> 46 | cost [3.7]
12 --> 71 | cost [9.85]
16 --> 78 | cost [17.85]
19 --> 96 | cost [7.6000000000000005]
23 --> 88 | cost [6.4]
29 --> 32 | cost [8.65]
34 -->  7 | cost [14.700000000000001]
35 --> 27 | cost [16.85]
44 --> 41 | cost [22.35]
50 --> 55 | cost [18.35]
51 --> 31 | cost [24.95]
54 --> 58 | cost [17.2]
65 --> 47 | cost [13.0]
66 --> 60 | cost [21.35]
69 --> 100 | cost [11.75]
72 --> 20 | cost [23.650000000000002]
74 --> 87 | cost [13.450000000000001]
75 --> 80 | cost [10.6]
81 --> 47 | cost [13.950000000000001]
82 --> 42 | cost [13.0]
83 -->  6 | cost [13.75]

B = 62.95
i★ = 47
j★ = 37
k★ = 88