------------------------------------------------------------
                           α=3.0 —— rat99 —— 99 nodes       
------------------------------------------------------------

——————— Mon, 08 Jan 2024 11:40:21 ————————— seperate y_ij <= y_jj - x_ij on lazy constraints ————————— use blossom = false
BD  —— 100 hubs —— 1-2-3-4-14-5-6-7-8-9-18-17-16-15-23-24-25-26-27-35-36-44-45-54-53-52-51-50-49-60-61-62-63-72-81-80-71-70-69-78-77-76-84-85-86-87-88-79-89-90-99-98-97-96-95-94-93-92-91-83-82-73-74-75-66-67-68-59-58-57-56-65-64-55-46-47-38-48-39-40-41-42-43-34-33-32-31-30-29-37-28-19-20-21-22-13-12-11-10-100-1
total time           10.39                gap                  0.0                  
blossom time         0                    nb blossom           0.0                  
LB <= UB             3640.77<=3640.77     Master/SP costs      3633/7.77            
Master time          9.32                 SP time              1.07                 
subtour              178.0                connectivity cuts    18.0                 
uc strategy          4                    uc tolerance         0.01                 
opt. cuts            5.0                  SP method            poly                 
tildeV               2:99                 inst transformation  2                    
2-opt strategy       0                                                              
explored nodes       21                   
F                    7.0                  
                                          o_i                  0                                                              
                                          
Found solution
RING NODES
1—2—3—4—14—5—6—7—8—9—18—17—16—15—23—24—25—26—27—35—36—44—45—54—53—52—51—50—49—60—61—62—63—72—81—80—71—70—69—78—77—76—84—85—86—87—88—79—89—90—99—98—97—96—95—94—93—92—91—83—82—73—74—75—66—67—68—59—58—57—56—65—64—55—46—47—38—48—39—40—41—42—43—34—33—32—31—30—29—37—28—19—20—21—22—13—12—11—10—100

RING
1  ---  2 | cost [42.0]
1  --- 100 | cost [0.0]
2  ---  3 | cost [27.0]
3  ---  4 | cost [33.0]
4  --- 14 | cost [45.0]
5  ---  6 | cost [27.0]
5  --- 14 | cost [36.0]
6  ---  7 | cost [33.0]
7  ---  8 | cost [30.0]
8  ---  9 | cost [30.0]
9  --- 18 | cost [60.0]
10 --- 11 | cost [36.0]
10 --- 100 | cost [51.0]
11 --- 12 | cost [18.0]
12 --- 13 | cost [39.0]
13 --- 22 | cost [42.0]
15 --- 16 | cost [30.0]
15 --- 23 | cost [42.0]
16 --- 17 | cost [39.0]
17 --- 18 | cost [30.0]
19 --- 20 | cost [39.0]
19 --- 28 | cost [57.0]
20 --- 21 | cost [54.0]
21 --- 22 | cost [18.0]
23 --- 24 | cost [30.0]
24 --- 25 | cost [27.0]
25 --- 26 | cost [30.0]
26 --- 27 | cost [48.0]
27 --- 35 | cost [39.0]
28 --- 37 | cost [27.0]
29 --- 30 | cost [33.0]
29 --- 37 | cost [27.0]
30 --- 31 | cost [36.0]
31 --- 32 | cost [33.0]
32 --- 33 | cost [36.0]
33 --- 34 | cost [36.0]
34 --- 43 | cost [18.0]
35 --- 36 | cost [33.0]
36 --- 44 | cost [39.0]
38 --- 47 | cost [48.0]
38 --- 48 | cost [33.0]
39 --- 40 | cost [18.0]
39 --- 48 | cost [12.0]
40 --- 41 | cost [42.0]
41 --- 42 | cost [42.0]
42 --- 43 | cost [24.0]
44 --- 45 | cost [48.0]
45 --- 54 | cost [39.0]
46 --- 47 | cost [24.0]
46 --- 55 | cost [45.0]
49 --- 50 | cost [42.0]
49 --- 60 | cost [48.0]
50 --- 51 | cost [36.0]
51 --- 52 | cost [27.0]
52 --- 53 | cost [24.0]
53 --- 54 | cost [42.0]
55 --- 64 | cost [66.0]
56 --- 57 | cost [24.0]
56 --- 65 | cost [39.0]
57 --- 58 | cost [39.0]
58 --- 59 | cost [24.0]
59 --- 68 | cost [63.0]
60 --- 61 | cost [48.0]
61 --- 62 | cost [27.0]
62 --- 63 | cost [48.0]
63 --- 72 | cost [60.0]
64 --- 65 | cost [42.0]
66 --- 67 | cost [39.0]
66 --- 75 | cost [48.0]
67 --- 68 | cost [15.0]
69 --- 70 | cost [27.0]
69 --- 78 | cost [36.0]
70 --- 71 | cost [21.0]
71 --- 80 | cost [30.0]
72 --- 81 | cost [39.0]
73 --- 74 | cost [51.0]
73 --- 82 | cost [54.0]
74 --- 75 | cost [42.0]
76 --- 77 | cost [36.0]
76 --- 84 | cost [42.0]
77 --- 78 | cost [30.0]
79 --- 88 | cost [42.0]
79 --- 89 | cost [66.0]
80 --- 81 | cost [39.0]
82 --- 83 | cost [36.0]
83 --- 91 | cost [48.0]
84 --- 85 | cost [30.0]
85 --- 86 | cost [33.0]
86 --- 87 | cost [33.0]
87 --- 88 | cost [24.0]
89 --- 90 | cost [24.0]
90 --- 99 | cost [30.0]
91 --- 92 | cost [21.0]
92 --- 93 | cost [36.0]
93 --- 94 | cost [39.0]
94 --- 95 | cost [54.0]
95 --- 96 | cost [45.0]
96 --- 97 | cost [33.0]
97 --- 98 | cost [39.0]
98 --- 99 | cost [27.0]

STAR

BACKUP RING
1  ---  3 | cost [0.6900000000000001]
2  ---  4 | cost [0.54]
3  --- 14 | cost [0.6]
4  ---  5 | cost [0.45]
5  ---  7 | cost [0.5700000000000001]
6  ---  8 | cost [0.6]
6  --- 14 | cost [0.51]
7  ---  9 | cost [0.6]
8  --- 18 | cost [0.81]
9  --- 17 | cost [0.75]
10 --- 12 | cost [0.51]
11 --- 13 | cost [0.51]
11 --- 100 | cost [0.75]
12 --- 22 | cost [0.78]
13 --- 21 | cost [0.54]
15 --- 17 | cost [0.6900000000000001]
15 --- 24 | cost [0.51]
16 --- 18 | cost [0.66]
16 --- 23 | cost [0.63]
19 --- 21 | cost [0.75]
19 --- 37 | cost [0.84]
20 --- 22 | cost [0.66]
20 --- 28 | cost [0.87]
23 --- 25 | cost [0.51]
24 --- 26 | cost [0.51]
25 --- 27 | cost [0.72]
26 --- 35 | cost [0.36]
27 --- 36 | cost [0.48]
28 --- 29 | cost [0.39]
29 --- 31 | cost [0.6]
30 --- 32 | cost [0.66]
30 --- 37 | cost [0.5700000000000001]
31 --- 33 | cost [0.63]
32 --- 34 | cost [0.72]
33 --- 43 | cost [0.39]
34 --- 42 | cost [0.39]
35 --- 44 | cost [0.48]
36 --- 45 | cost [0.75]
38 --- 39 | cost [0.27]
38 --- 46 | cost [0.54]
39 --- 41 | cost [0.6]
40 --- 42 | cost [0.78]
40 --- 48 | cost [0.27]
41 --- 43 | cost [0.63]
44 --- 54 | cost [0.87]
45 --- 53 | cost [0.51]
46 --- 64 | cost [1.11]
47 --- 48 | cost [0.45]
47 --- 55 | cost [0.51]
49 --- 51 | cost [0.66]
49 --- 61 | cost [0.9]
50 --- 52 | cost [0.63]
50 --- 60 | cost [0.51]
51 --- 53 | cost [0.48]
52 --- 54 | cost [0.63]
55 --- 65 | cost [0.81]
56 --- 58 | cost [0.5700000000000001]
56 --- 64 | cost [0.5700000000000001]
57 --- 59 | cost [0.63]
57 --- 65 | cost [0.5700000000000001]
58 --- 68 | cost [0.84]
59 --- 67 | cost [0.54]
60 --- 62 | cost [0.66]
61 --- 63 | cost [0.75]
62 --- 72 | cost [0.63]
63 --- 81 | cost [0.99]
66 --- 68 | cost [0.54]
66 --- 74 | cost [0.45]
67 --- 75 | cost [0.5700000000000001]
69 --- 71 | cost [0.48]
69 --- 77 | cost [0.63]
70 --- 78 | cost [0.5700000000000001]
70 --- 80 | cost [0.36]
71 --- 81 | cost [0.51]
72 --- 80 | cost [0.54]
73 --- 75 | cost [0.66]
73 --- 83 | cost [0.63]
74 --- 82 | cost [1.05]
76 --- 78 | cost [0.66]
76 --- 85 | cost [0.3]
77 --- 84 | cost [0.75]
79 --- 87 | cost [0.66]
79 --- 90 | cost [0.84]
82 --- 91 | cost [0.51]
83 --- 92 | cost [0.63]
84 --- 86 | cost [0.5700000000000001]
85 --- 87 | cost [0.6]
86 --- 88 | cost [0.54]
88 --- 89 | cost [0.45]
89 --- 99 | cost [0.42]
90 --- 98 | cost [0.51]
91 --- 93 | cost [0.42]
92 --- 94 | cost [0.66]
93 --- 95 | cost [0.78]
94 --- 96 | cost [0.72]
95 --- 97 | cost [0.5700000000000001]
96 --- 98 | cost [0.6]
97 --- 99 | cost [0.5700000000000001]

BACKUP STAR

B = 1.11
i★ = 46
j★ = 55
k★ = 64

       
——————— Wed, 10 Jan 2024 14:03:19 ————————— seperate y_ij <= y_jj - x_ij on lazy constraints ————————— use blossom = false
ILP ——— 100 hubs —— 1—2—3—4—14—5—6—7—8—9—18—17—16—15—23—24—25—26—27—35—36—44—45—54—53—52—51—50—49—60—61—62—63—72—81—80—71—70—69—78—77—76—84—85—86—87—88—79—89—90—99—98—97—96—95—94—93—92—91—83—82—73—74—75—66—67—68—59—58—57—56—65—64—55—46—47—38—48—39—40—41—42—43—34—33—32—31—30—29—37—28—19—20—21—22—13—12—11—10—100
total time           1104.44              gap                  0.0                  
blossom time         0                    nb blossom           0.0                  
LB <= UB             3640.77<=3640.77     subtour              214.0                
connectivity cuts    0.0                  uc strategy          0                    
uc tolerance         0.01                 tildeV               2:99                 
2-opt strategy       0                                                              
explored_nodes       5                    n lazycuts edges     0.0                  
F                    7.0                  post procedure       true                 
o_i                  0                                                                                                                                                  
Found solution
RING NODES
1—2—3—4—14—5—6—7—8—9—18—17—16—15—23—24—25—26—27—35—36—44—45—54—53—52—51—50—49—60—61—62—63—72—81—80—71—70—69—78—77—76—84—85—86—87—88—79—89—90—99—98—97—96—95—94—93—92—91—83—82—73—74—75—66—67—68—59—58—57—56—65—64—55—46—47—38—48—39—40—41—42—43—34—33—32—31—30—29—37—28—19—20—21—22—13—12—11—10—100

RING
1  ---  2 | cost [42.0]
2  ---  3 | cost [27.0]
3  ---  4 | cost [33.0]
4  --- 14 | cost [45.0]
5  ---  6 | cost [27.0]
5  --- 14 | cost [36.0]
6  ---  7 | cost [33.0]
7  ---  8 | cost [30.0]
8  ---  9 | cost [30.0]
9  --- 18 | cost [60.0]
10 --- 11 | cost [36.0]
10 --- 100 | cost [51.0]
11 --- 12 | cost [18.0]
12 --- 13 | cost [39.0]
13 --- 22 | cost [42.0]
15 --- 16 | cost [30.0]
15 --- 23 | cost [42.0]
16 --- 17 | cost [39.0]
17 --- 18 | cost [30.0]
19 --- 20 | cost [39.0]
19 --- 28 | cost [57.0]
20 --- 21 | cost [54.0]
21 --- 22 | cost [18.0]
23 --- 24 | cost [30.0]
24 --- 25 | cost [27.0]
25 --- 26 | cost [30.0]
26 --- 27 | cost [48.0]
27 --- 35 | cost [39.0]
28 --- 37 | cost [27.0]
29 --- 30 | cost [33.0]
29 --- 37 | cost [27.0]
30 --- 31 | cost [36.0]
31 --- 32 | cost [33.0]
32 --- 33 | cost [36.0]
33 --- 34 | cost [36.0]
34 --- 43 | cost [18.0]
35 --- 36 | cost [33.0]
36 --- 44 | cost [39.0]
38 --- 47 | cost [48.0]
38 --- 48 | cost [33.0]
39 --- 40 | cost [18.0]
39 --- 48 | cost [12.0]
40 --- 41 | cost [42.0]
41 --- 42 | cost [42.0]
42 --- 43 | cost [24.0]
44 --- 45 | cost [48.0]
45 --- 54 | cost [39.0]
46 --- 47 | cost [24.0]
46 --- 55 | cost [45.0]
49 --- 50 | cost [42.0]
49 --- 60 | cost [48.0]
50 --- 51 | cost [36.0]
51 --- 52 | cost [27.0]
52 --- 53 | cost [24.0]
53 --- 54 | cost [42.0]
55 --- 64 | cost [66.0]
56 --- 57 | cost [24.0]
56 --- 65 | cost [39.0]
57 --- 58 | cost [39.0]
58 --- 59 | cost [24.0]
59 --- 68 | cost [63.0]
60 --- 61 | cost [48.0]
61 --- 62 | cost [27.0]
62 --- 63 | cost [48.0]
63 --- 72 | cost [60.0]
64 --- 65 | cost [42.0]
66 --- 67 | cost [39.0]
66 --- 75 | cost [48.0]
67 --- 68 | cost [15.0]
69 --- 70 | cost [27.0]
69 --- 78 | cost [36.0]
70 --- 71 | cost [21.0]
71 --- 80 | cost [30.0]
72 --- 81 | cost [39.0]
73 --- 74 | cost [51.0]
73 --- 82 | cost [54.0]
74 --- 75 | cost [42.0]
76 --- 77 | cost [36.0]
76 --- 84 | cost [42.0]
77 --- 78 | cost [30.0]
79 --- 88 | cost [42.0]
79 --- 89 | cost [66.0]
80 --- 81 | cost [39.0]
82 --- 83 | cost [36.0]
83 --- 91 | cost [48.0]
84 --- 85 | cost [30.0]
85 --- 86 | cost [33.0]
86 --- 87 | cost [33.0]
87 --- 88 | cost [24.0]
89 --- 90 | cost [24.0]
90 --- 99 | cost [30.0]
91 --- 92 | cost [21.0]
92 --- 93 | cost [36.0]
93 --- 94 | cost [39.0]
94 --- 95 | cost [54.0]
95 --- 96 | cost [45.0]
96 --- 97 | cost [33.0]
97 --- 98 | cost [39.0]
98 --- 99 | cost [27.0]

STAR

BACKUP RING
1  ---  3 | cost [0.6900000000000001]
2  ---  4 | cost [0.54]
3  --- 14 | cost [0.6]
4  ---  5 | cost [0.45]
5  ---  7 | cost [0.5700000000000001]
6  ---  8 | cost [0.6]
6  --- 14 | cost [0.51]
7  ---  9 | cost [0.6]
8  --- 18 | cost [0.81]
9  --- 17 | cost [0.75]
10 --- 12 | cost [0.51]
11 --- 13 | cost [0.51]
11 --- 100 | cost [0.75]
12 --- 22 | cost [0.78]
13 --- 21 | cost [0.54]
15 --- 17 | cost [0.6900000000000001]
15 --- 24 | cost [0.51]
16 --- 18 | cost [0.66]
16 --- 23 | cost [0.63]
19 --- 21 | cost [0.75]
19 --- 37 | cost [0.84]
20 --- 22 | cost [0.66]
20 --- 28 | cost [0.87]
23 --- 25 | cost [0.51]
24 --- 26 | cost [0.51]
25 --- 27 | cost [0.72]
26 --- 35 | cost [0.36]
27 --- 36 | cost [0.48]
28 --- 29 | cost [0.39]
29 --- 31 | cost [0.6]
30 --- 32 | cost [0.66]
30 --- 37 | cost [0.5700000000000001]
31 --- 33 | cost [0.63]
32 --- 34 | cost [0.72]
33 --- 43 | cost [0.39]
34 --- 42 | cost [0.39]
35 --- 44 | cost [0.48]
36 --- 45 | cost [0.75]
38 --- 39 | cost [0.27]
38 --- 46 | cost [0.54]
39 --- 41 | cost [0.6]
40 --- 42 | cost [0.78]
40 --- 48 | cost [0.27]
41 --- 43 | cost [0.63]
44 --- 54 | cost [0.87]
45 --- 53 | cost [0.51]
46 --- 64 | cost [1.11]
47 --- 48 | cost [0.45]
47 --- 55 | cost [0.51]
49 --- 51 | cost [0.66]
49 --- 61 | cost [0.9]
50 --- 52 | cost [0.63]
50 --- 60 | cost [0.51]
51 --- 53 | cost [0.48]
52 --- 54 | cost [0.63]
55 --- 65 | cost [0.81]
56 --- 58 | cost [0.5700000000000001]
56 --- 64 | cost [0.5700000000000001]
57 --- 59 | cost [0.63]
57 --- 65 | cost [0.5700000000000001]
58 --- 68 | cost [0.84]
59 --- 67 | cost [0.54]
60 --- 62 | cost [0.66]
61 --- 63 | cost [0.75]
62 --- 72 | cost [0.63]
63 --- 81 | cost [0.99]
66 --- 68 | cost [0.54]
66 --- 74 | cost [0.45]
67 --- 75 | cost [0.5700000000000001]
69 --- 71 | cost [0.48]
69 --- 77 | cost [0.63]
70 --- 78 | cost [0.5700000000000001]
70 --- 80 | cost [0.36]
71 --- 81 | cost [0.51]
72 --- 80 | cost [0.54]
73 --- 75 | cost [0.66]
73 --- 83 | cost [0.63]
74 --- 82 | cost [1.05]
76 --- 78 | cost [0.66]
76 --- 85 | cost [0.3]
77 --- 84 | cost [0.75]
79 --- 87 | cost [0.66]
79 --- 90 | cost [0.84]
82 --- 91 | cost [0.51]
83 --- 92 | cost [0.63]
84 --- 86 | cost [0.5700000000000001]
85 --- 87 | cost [0.6]
86 --- 88 | cost [0.54]
88 --- 89 | cost [0.45]
89 --- 99 | cost [0.42]
90 --- 98 | cost [0.51]
91 --- 93 | cost [0.42]
92 --- 94 | cost [0.66]
93 --- 95 | cost [0.78]
94 --- 96 | cost [0.72]
95 --- 97 | cost [0.5700000000000001]
96 --- 98 | cost [0.6]
97 --- 99 | cost [0.5700000000000001]

BACKUP STAR

B = 1.11
i★ = 46
j★ = 55
k★ = 64

       
——————— Wed, 10 Jan 2024 14:04:48 ————————— seperate y_ij <= y_jj - x_ij on lazy constraints ————————— use blossom = false
BD  —— 100 hubs —— 1-2-3-4-14-5-6-7-8-9-18-17-16-15-23-24-25-26-27-35-36-44-45-54-53-52-51-50-49-60-61-62-63-72-81-80-71-70-69-78-77-76-84-85-86-87-88-79-89-90-99-98-97-96-95-94-93-92-91-83-82-73-74-75-66-67-68-59-58-57-56-65-64-55-46-47-38-48-39-40-41-42-43-34-33-32-31-30-29-37-28-19-20-21-22-13-12-11-10-100-1
total time           24.22                gap                  0.0                  
blossom time         0                    nb blossom           0.0                  
LB <= UB             3640.77<=3640.77     Master/SP costs      3633/7.77            
Master time          19.36                SP time              4.86                 
subtour              1772.0               connectivity cuts    0.0                  
uc strategy          0                    uc tolerance         0.01                 
opt. cuts            8.0                  SP method            poly                 
tildeV               2:99                 inst transformation  2                    
2-opt strategy       0                                                              
explored nodes       729                  
F                    7.0                  
                                          o_i                  0                                                              
                                          
Found solution
RING NODES
1—2—3—4—14—5—6—7—8—9—18—17—16—15—23—24—25—26—27—35—36—44—45—54—53—52—51—50—49—60—61—62—63—72—81—80—71—70—69—78—77—76—84—85—86—87—88—79—89—90—99—98—97—96—95—94—93—92—91—83—82—73—74—75—66—67—68—59—58—57—56—65—64—55—46—47—38—48—39—40—41—42—43—34—33—32—31—30—29—37—28—19—20—21—22—13—12—11—10—100

RING
1  ---  2 | cost [42.0]
2  ---  3 | cost [27.0]
3  ---  4 | cost [33.0]
4  --- 14 | cost [45.0]
5  ---  6 | cost [27.0]
5  --- 14 | cost [36.0]
6  ---  7 | cost [33.0]
7  ---  8 | cost [30.0]
8  ---  9 | cost [30.0]
9  --- 18 | cost [60.0]
10 --- 11 | cost [36.0]
10 --- 100 | cost [51.0]
11 --- 12 | cost [18.0]
12 --- 13 | cost [39.0]
13 --- 22 | cost [42.0]
15 --- 16 | cost [30.0]
15 --- 23 | cost [42.0]
16 --- 17 | cost [39.0]
17 --- 18 | cost [30.0]
19 --- 20 | cost [39.0]
19 --- 28 | cost [57.0]
20 --- 21 | cost [54.0]
21 --- 22 | cost [18.0]
23 --- 24 | cost [30.0]
24 --- 25 | cost [27.0]
25 --- 26 | cost [30.0]
26 --- 27 | cost [48.0]
27 --- 35 | cost [39.0]
28 --- 37 | cost [27.0]
29 --- 30 | cost [33.0]
29 --- 37 | cost [27.0]
30 --- 31 | cost [36.0]
31 --- 32 | cost [33.0]
32 --- 33 | cost [36.0]
33 --- 34 | cost [36.0]
34 --- 43 | cost [18.0]
35 --- 36 | cost [33.0]
36 --- 44 | cost [39.0]
38 --- 47 | cost [48.0]
38 --- 48 | cost [33.0]
39 --- 40 | cost [18.0]
39 --- 48 | cost [12.0]
40 --- 41 | cost [42.0]
41 --- 42 | cost [42.0]
42 --- 43 | cost [24.0]
44 --- 45 | cost [48.0]
45 --- 54 | cost [39.0]
46 --- 47 | cost [24.0]
46 --- 55 | cost [45.0]
49 --- 50 | cost [42.0]
49 --- 60 | cost [48.0]
50 --- 51 | cost [36.0]
51 --- 52 | cost [27.0]
52 --- 53 | cost [24.0]
53 --- 54 | cost [42.0]
55 --- 64 | cost [66.0]
56 --- 57 | cost [24.0]
56 --- 65 | cost [39.0]
57 --- 58 | cost [39.0]
58 --- 59 | cost [24.0]
59 --- 68 | cost [63.0]
60 --- 61 | cost [48.0]
61 --- 62 | cost [27.0]
62 --- 63 | cost [48.0]
63 --- 72 | cost [60.0]
64 --- 65 | cost [42.0]
66 --- 67 | cost [39.0]
66 --- 75 | cost [48.0]
67 --- 68 | cost [15.0]
69 --- 70 | cost [27.0]
69 --- 78 | cost [36.0]
70 --- 71 | cost [21.0]
71 --- 80 | cost [30.0]
72 --- 81 | cost [39.0]
73 --- 74 | cost [51.0]
73 --- 82 | cost [54.0]
74 --- 75 | cost [42.0]
76 --- 77 | cost [36.0]
76 --- 84 | cost [42.0]
77 --- 78 | cost [30.0]
79 --- 88 | cost [42.0]
79 --- 89 | cost [66.0]
80 --- 81 | cost [39.0]
82 --- 83 | cost [36.0]
83 --- 91 | cost [48.0]
84 --- 85 | cost [30.0]
85 --- 86 | cost [33.0]
86 --- 87 | cost [33.0]
87 --- 88 | cost [24.0]
89 --- 90 | cost [24.0]
90 --- 99 | cost [30.0]
91 --- 92 | cost [21.0]
92 --- 93 | cost [36.0]
93 --- 94 | cost [39.0]
94 --- 95 | cost [54.0]
95 --- 96 | cost [45.0]
96 --- 97 | cost [33.0]
97 --- 98 | cost [39.0]
98 --- 99 | cost [27.0]

STAR

BACKUP RING
1  ---  3 | cost [0.6900000000000001]
2  ---  4 | cost [0.54]
3  --- 14 | cost [0.6]
4  ---  5 | cost [0.45]
5  ---  7 | cost [0.5700000000000001]
6  ---  8 | cost [0.6]
6  --- 14 | cost [0.51]
7  ---  9 | cost [0.6]
8  --- 18 | cost [0.81]
9  --- 17 | cost [0.75]
10 --- 12 | cost [0.51]
11 --- 13 | cost [0.51]
11 --- 100 | cost [0.75]
12 --- 22 | cost [0.78]
13 --- 21 | cost [0.54]
15 --- 17 | cost [0.6900000000000001]
15 --- 24 | cost [0.51]
16 --- 18 | cost [0.66]
16 --- 23 | cost [0.63]
19 --- 21 | cost [0.75]
19 --- 37 | cost [0.84]
20 --- 22 | cost [0.66]
20 --- 28 | cost [0.87]
23 --- 25 | cost [0.51]
24 --- 26 | cost [0.51]
25 --- 27 | cost [0.72]
26 --- 35 | cost [0.36]
27 --- 36 | cost [0.48]
28 --- 29 | cost [0.39]
29 --- 31 | cost [0.6]
30 --- 32 | cost [0.66]
30 --- 37 | cost [0.5700000000000001]
31 --- 33 | cost [0.63]
32 --- 34 | cost [0.72]
33 --- 43 | cost [0.39]
34 --- 42 | cost [0.39]
35 --- 44 | cost [0.48]
36 --- 45 | cost [0.75]
38 --- 39 | cost [0.27]
38 --- 46 | cost [0.54]
39 --- 41 | cost [0.6]
40 --- 42 | cost [0.78]
40 --- 48 | cost [0.27]
41 --- 43 | cost [0.63]
44 --- 54 | cost [0.87]
45 --- 53 | cost [0.51]
46 --- 64 | cost [1.11]
47 --- 48 | cost [0.45]
47 --- 55 | cost [0.51]
49 --- 51 | cost [0.66]
49 --- 61 | cost [0.9]
50 --- 52 | cost [0.63]
50 --- 60 | cost [0.51]
51 --- 53 | cost [0.48]
52 --- 54 | cost [0.63]
55 --- 65 | cost [0.81]
56 --- 58 | cost [0.5700000000000001]
56 --- 64 | cost [0.5700000000000001]
57 --- 59 | cost [0.63]
57 --- 65 | cost [0.5700000000000001]
58 --- 68 | cost [0.84]
59 --- 67 | cost [0.54]
60 --- 62 | cost [0.66]
61 --- 63 | cost [0.75]
62 --- 72 | cost [0.63]
63 --- 81 | cost [0.99]
66 --- 68 | cost [0.54]
66 --- 74 | cost [0.45]
67 --- 75 | cost [0.5700000000000001]
69 --- 71 | cost [0.48]
69 --- 77 | cost [0.63]
70 --- 78 | cost [0.5700000000000001]
70 --- 80 | cost [0.36]
71 --- 81 | cost [0.51]
72 --- 80 | cost [0.54]
73 --- 75 | cost [0.66]
73 --- 83 | cost [0.63]
74 --- 82 | cost [1.05]
76 --- 78 | cost [0.66]
76 --- 85 | cost [0.3]
77 --- 84 | cost [0.75]
79 --- 87 | cost [0.66]
79 --- 90 | cost [0.84]
82 --- 91 | cost [0.51]
83 --- 92 | cost [0.63]
84 --- 86 | cost [0.5700000000000001]
85 --- 87 | cost [0.6]
86 --- 88 | cost [0.54]
88 --- 89 | cost [0.45]
89 --- 99 | cost [0.42]
90 --- 98 | cost [0.51]
91 --- 93 | cost [0.42]
92 --- 94 | cost [0.66]
93 --- 95 | cost [0.78]
94 --- 96 | cost [0.72]
95 --- 97 | cost [0.5700000000000001]
96 --- 98 | cost [0.6]
97 --- 99 | cost [0.5700000000000001]

BACKUP STAR

B = 1.11
i★ = 46
j★ = 55
k★ = 64