------------------------------------------------------------
                        α=3.0 —— kroA100 —— 100 nodes       
------------------------------------------------------------

——————— Mon, 08 Jan 2024 11:53:09 ————————— seperate y_ij <= y_jj - x_ij on lazy constraints ————————— use blossom = false
BD  —— 101 hubs —— 1-47-93-28-67-58-61-51-87-25-81-69-64-40-54-2-44-50-73-68-85-82-95-13-76-33-37-5-52-78-96-39-30-48-100-41-71-14-3-43-46-29-34-83-55-7-9-57-20-12-27-86-35-62-60-77-23-98-91-45-32-11-15-17-59-74-21-72-10-84-36-99-38-24-18-79-53-88-16-94-22-70-66-26-65-4-97-56-80-31-89-42-8-92-75-19-90-49-6-63-101-1
total time           44.11                gap                  0.0                  
blossom time         0                    nb blossom           0.0                  
LB <= UB             64054.53<=64054.53   Master/SP costs      63846/208.53         
Master time          41.2                 SP time              2.9                  
subtour              375.0                connectivity cuts    245.0                
uc strategy          4                    uc tolerance         0.01                 
opt. cuts            22.0                 SP method            poly                 
tildeV               2:100                inst transformation  2                    
2-opt strategy       0                                                              
explored nodes       1872                 
F                    7.0                  
                                          o_i                  0                                                              
                                          
Found solution
RING NODES
1—47—93—28—67—58—61—51—87—25—81—69—64—40—54—2—44—50—73—68—85—82—95—13—76—33—37—5—52—78—96—39—30—48—100—41—71—14—3—43—46—29—34—83—55—7—9—57—20—12—27—86—35—62—60—77—23—98—91—45—32—11—15—17—59—74—21—72—10—84—36—99—38—24—18—79—53—88—16—94—22—70—66—26—65—4—97—56—80—31—89—42—8—92—75—19—90—49—6—63—101

RING
1  --- 47 | cost [1287.0]
1  --- 101 | cost [0.0]
2  --- 44 | cost [771.0]
2  --- 54 | cost [993.0]
3  --- 14 | cost [663.0]
3  --- 43 | cost [513.0]
4  --- 65 | cost [441.0]
4  --- 97 | cost [972.0]
5  --- 37 | cost [207.0]
5  --- 52 | cost [777.0]
6  --- 49 | cost [141.0]
6  --- 63 | cost [471.0]
7  ---  9 | cost [150.0]
7  --- 55 | cost [792.0]
8  --- 42 | cost [744.0]
8  --- 92 | cost [618.0]
9  --- 57 | cost [300.0]
10 --- 72 | cost [810.0]
10 --- 84 | cost [420.0]
11 --- 15 | cost [339.0]
11 --- 32 | cost [606.0]
12 --- 20 | cost [462.0]
12 --- 27 | cost [408.0]
13 --- 76 | cost [309.0]
13 --- 95 | cost [648.0]
14 --- 71 | cost [804.0]
15 --- 17 | cost [39.0]
16 --- 88 | cost [174.0]
16 --- 94 | cost [483.0]
17 --- 59 | cost [1074.0]
18 --- 24 | cost [543.0]
18 --- 79 | cost [690.0]
19 --- 75 | cost [702.0]
19 --- 90 | cost [1128.0]
20 --- 57 | cost [612.0]
21 --- 72 | cost [456.0]
21 --- 74 | cost [198.0]
22 --- 70 | cost [558.0]
22 --- 94 | cost [402.0]
23 --- 77 | cost [1146.0]
23 --- 98 | cost [324.0]
24 --- 38 | cost [288.0]
25 --- 81 | cost [153.0]
25 --- 87 | cost [1020.0]
26 --- 65 | cost [849.0]
26 --- 66 | cost [969.0]
27 --- 86 | cost [243.0]
28 --- 67 | cost [903.0]
28 --- 93 | cost [144.0]
29 --- 34 | cost [903.0]
29 --- 46 | cost [444.0]
30 --- 39 | cost [783.0]
30 --- 48 | cost [1281.0]
31 --- 80 | cost [261.0]
31 --- 89 | cost [564.0]
32 --- 45 | cost [666.0]
33 --- 37 | cost [1224.0]
33 --- 76 | cost [276.0]
34 --- 83 | cost [438.0]
35 --- 62 | cost [975.0]
35 --- 86 | cost [423.0]
36 --- 84 | cost [966.0]
36 --- 99 | cost [900.0]
38 --- 99 | cost [939.0]
39 --- 96 | cost [852.0]
40 --- 54 | cost [312.0]
40 --- 64 | cost [240.0]
41 --- 71 | cost [249.0]
41 --- 100 | cost [555.0]
42 --- 89 | cost [540.0]
43 --- 46 | cost [594.0]
44 --- 50 | cost [486.0]
45 --- 91 | cost [537.0]
47 --- 93 | cost [1599.0]
48 --- 100 | cost [756.0]
49 --- 90 | cost [624.0]
50 --- 73 | cost [540.0]
51 --- 61 | cost [558.0]
51 --- 87 | cost [438.0]
52 --- 78 | cost [120.0]
53 --- 79 | cost [669.0]
53 --- 88 | cost [690.0]
55 --- 83 | cost [69.0]
56 --- 80 | cost [843.0]
56 --- 97 | cost [648.0]
58 --- 61 | cost [975.0]
58 --- 67 | cost [1035.0]
59 --- 74 | cost [267.0]
60 --- 62 | cost [453.0]
60 --- 77 | cost [573.0]
63 --- 101 | cost [864.0]
64 --- 69 | cost [891.0]
66 --- 70 | cost [1200.0]
68 --- 73 | cost [801.0]
68 --- 85 | cost [459.0]
69 --- 81 | cost [909.0]
75 --- 92 | cost [1074.0]
78 --- 96 | cost [204.0]
82 --- 85 | cost [2403.0]
82 --- 95 | cost [735.0]
91 --- 98 | cost [297.0]

STAR

BACKUP RING
1  --- 93 | cost [12.39]
2  --- 40 | cost [10.11]
2  --- 50 | cost [12.48]
3  --- 46 | cost [4.17]
3  --- 71 | cost [12.030000000000001]
4  --- 26 | cost [12.51]
4  --- 56 | cost [15.0]
5  --- 33 | cost [14.25]
5  --- 78 | cost [7.26]
6  --- 90 | cost [7.47]
6  --- 101 | cost [11.91]
7  --- 57 | cost [2.79]
7  --- 83 | cost [8.1]
8  --- 75 | cost [13.71]
8  --- 89 | cost [12.48]
9  --- 20 | cost [8.43]
9  --- 55 | cost [8.94]
10 --- 21 | cost [12.6]
10 --- 36 | cost [13.23]
11 --- 17 | cost [3.45]
11 --- 45 | cost [11.1]
12 --- 57 | cost [7.23]
12 --- 86 | cost [5.58]
13 --- 33 | cost [3.0300000000000002]
13 --- 82 | cost [12.0]
14 --- 41 | cost [10.32]
14 --- 43 | cost [11.370000000000001]
15 --- 32 | cost [8.4]
15 --- 59 | cost [11.1]
16 --- 22 | cost [2.1]
16 --- 53 | cost [7.68]
17 --- 74 | cost [10.620000000000001]
18 --- 38 | cost [8.31]
18 --- 53 | cost [12.99]
19 --- 49 | cost [12.96]
19 --- 92 | cost [17.31]
20 --- 27 | cost [5.43]
21 --- 59 | cost [4.53]
22 --- 66 | cost [16.47]
23 --- 60 | cost [10.35]
23 --- 91 | cost [5.76]
24 --- 79 | cost [11.58]
24 --- 99 | cost [11.91]
25 --- 51 | cost [7.62]
25 --- 69 | cost [10.41]
26 --- 70 | cost [20.07]
27 --- 35 | cost [5.34]
28 --- 47 | cost [17.13]
28 --- 58 | cost [9.09]
29 --- 43 | cost [10.14]
29 --- 83 | cost [13.08]
30 --- 96 | cost [9.21]
30 --- 100 | cost [19.32]
31 --- 42 | cost [6.87]
31 --- 56 | cost [11.01]
32 --- 91 | cost [6.45]
34 --- 46 | cost [9.33]
34 --- 55 | cost [5.07]
35 --- 60 | cost [13.92]
36 --- 38 | cost [6.84]
37 --- 52 | cost [9.78]
37 --- 76 | cost [14.88]
39 --- 48 | cost [19.05]
39 --- 78 | cost [10.56]
40 --- 69 | cost [10.92]
41 --- 48 | cost [12.99]
42 --- 92 | cost [13.41]
44 --- 54 | cost [13.89]
44 --- 73 | cost [6.99]
45 --- 98 | cost [6.42]
49 --- 63 | cost [6.0600000000000005]
50 --- 68 | cost [9.6]
51 --- 58 | cost [13.05]
52 --- 96 | cost [3.18]
54 --- 64 | cost [5.43]
61 --- 67 | cost [17.91]
61 --- 87 | cost [9.72]
62 --- 77 | cost [6.63]
62 --- 86 | cost [9.24]
64 --- 81 | cost [17.97]
65 --- 66 | cost [3.45]
65 --- 97 | cost [14.01]
67 --- 93 | cost [10.41]
68 --- 82 | cost [23.28]
70 --- 94 | cost [9.39]
71 --- 100 | cost [3.63]
72 --- 74 | cost [6.45]
72 --- 84 | cost [9.42]
73 --- 85 | cost [12.36]
75 --- 90 | cost [12.48]
76 --- 95 | cost [7.8]
77 --- 98 | cost [13.65]
79 --- 88 | cost [7.7700000000000005]
80 --- 89 | cost [7.59]
80 --- 97 | cost [14.91]
81 --- 87 | cost [11.55]
84 --- 99 | cost [17.79]
85 --- 95 | cost [29.79]
88 --- 94 | cost [4.83]

BACKUP STAR

B = 29.79
i★ = 85
j★ = 82
k★ = 95

       
——————— Wed, 10 Jan 2024 18:47:57 ————————— seperate y_ij <= y_jj - x_ij on lazy constraints ————————— use blossom = false
ILP ——— 101 hubs —— 1—47—93—28—67—58—61—51—87—25—81—69—64—40—54—2—44—50—73—68—85—82—95—13—76—33—37—5—52—78—96—39—30—48—100—41—71—14—3—43—46—29—34—83—55—7—9—57—20—12—27—86—35—62—60—77—23—98—91—45—32—11—15—17—59—74—21—72—10—84—36—99—38—24—18—79—53—88—16—94—22—70—66—26—65—4—97—56—80—31—89—42—8—92—75—19—90—49—6—63—101
total time           2309.04              gap                  0.0                  
blossom time         0                    nb blossom           0.0                  
LB <= UB             64054.53<=64054.53   subtour              850.0                
connectivity cuts    0.0                  uc strategy          0                    
uc tolerance         0.01                 tildeV               2:100                
2-opt strategy       0                                                              
explored_nodes       717                  n lazycuts edges     0.0                  
F                    7.0                  post procedure       true                 
o_i                  0                                                                                                                                                  
Found solution
RING NODES
1—47—93—28—67—58—61—51—87—25—81—69—64—40—54—2—44—50—73—68—85—82—95—13—76—33—37—5—52—78—96—39—30—48—100—41—71—14—3—43—46—29—34—83—55—7—9—57—20—12—27—86—35—62—60—77—23—98—91—45—32—11—15—17—59—74—21—72—10—84—36—99—38—24—18—79—53—88—16—94—22—70—66—26—65—4—97—56—80—31—89—42—8—92—75—19—90—49—6—63—101

RING
1  --- 47 | cost [1287.0]
2  --- 44 | cost [771.0]
2  --- 54 | cost [993.0]
3  --- 14 | cost [663.0]
3  --- 43 | cost [513.0]
4  --- 65 | cost [441.0]
4  --- 97 | cost [972.0]
5  --- 37 | cost [207.0]
5  --- 52 | cost [777.0]
6  --- 49 | cost [141.0]
6  --- 63 | cost [471.0]
7  ---  9 | cost [150.0]
7  --- 55 | cost [792.0]
8  --- 42 | cost [744.0]
8  --- 92 | cost [618.0]
9  --- 57 | cost [300.0]
10 --- 72 | cost [810.0]
10 --- 84 | cost [420.0]
11 --- 15 | cost [339.0]
11 --- 32 | cost [606.0]
12 --- 20 | cost [462.0]
12 --- 27 | cost [408.0]
13 --- 76 | cost [309.0]
13 --- 95 | cost [648.0]
14 --- 71 | cost [804.0]
15 --- 17 | cost [39.0]
16 --- 88 | cost [174.0]
16 --- 94 | cost [483.0]
17 --- 59 | cost [1074.0]
18 --- 24 | cost [543.0]
18 --- 79 | cost [690.0]
19 --- 75 | cost [702.0]
19 --- 90 | cost [1128.0]
20 --- 57 | cost [612.0]
21 --- 72 | cost [456.0]
21 --- 74 | cost [198.0]
22 --- 70 | cost [558.0]
22 --- 94 | cost [402.0]
23 --- 77 | cost [1146.0]
23 --- 98 | cost [324.0]
24 --- 38 | cost [288.0]
25 --- 81 | cost [153.0]
25 --- 87 | cost [1020.0]
26 --- 65 | cost [849.0]
26 --- 66 | cost [969.0]
27 --- 86 | cost [243.0]
28 --- 67 | cost [903.0]
28 --- 93 | cost [144.0]
29 --- 34 | cost [903.0]
29 --- 46 | cost [444.0]
30 --- 39 | cost [783.0]
30 --- 48 | cost [1281.0]
31 --- 80 | cost [261.0]
31 --- 89 | cost [564.0]
32 --- 45 | cost [666.0]
33 --- 37 | cost [1224.0]
33 --- 76 | cost [276.0]
34 --- 83 | cost [438.0]
35 --- 62 | cost [975.0]
35 --- 86 | cost [423.0]
36 --- 84 | cost [966.0]
36 --- 99 | cost [900.0]
38 --- 99 | cost [939.0]
39 --- 96 | cost [852.0]
40 --- 54 | cost [312.0]
40 --- 64 | cost [240.0]
41 --- 71 | cost [249.0]
41 --- 100 | cost [555.0]
42 --- 89 | cost [540.0]
43 --- 46 | cost [594.0]
44 --- 50 | cost [486.0]
45 --- 91 | cost [537.0]
47 --- 93 | cost [1599.0]
48 --- 100 | cost [756.0]
49 --- 90 | cost [624.0]
50 --- 73 | cost [540.0]
51 --- 61 | cost [558.0]
51 --- 87 | cost [438.0]
52 --- 78 | cost [120.0]
53 --- 79 | cost [669.0]
53 --- 88 | cost [690.0]
55 --- 83 | cost [69.0]
56 --- 80 | cost [843.0]
56 --- 97 | cost [648.0]
58 --- 61 | cost [975.0]
58 --- 67 | cost [1035.0]
59 --- 74 | cost [267.0]
60 --- 62 | cost [453.0]
60 --- 77 | cost [573.0]
63 --- 101 | cost [864.0]
64 --- 69 | cost [891.0]
66 --- 70 | cost [1200.0]
68 --- 73 | cost [801.0]
68 --- 85 | cost [459.0]
69 --- 81 | cost [909.0]
75 --- 92 | cost [1074.0]
78 --- 96 | cost [204.0]
82 --- 85 | cost [2403.0]
82 --- 95 | cost [735.0]
91 --- 98 | cost [297.0]

STAR

BACKUP RING
1  --- 93 | cost [12.39]
2  --- 40 | cost [10.11]
2  --- 50 | cost [12.48]
3  --- 46 | cost [4.17]
3  --- 71 | cost [12.030000000000001]
4  --- 26 | cost [12.51]
4  --- 56 | cost [15.0]
5  --- 33 | cost [14.25]
5  --- 78 | cost [7.26]
6  --- 90 | cost [7.47]
6  --- 101 | cost [11.91]
7  --- 57 | cost [2.79]
7  --- 83 | cost [8.1]
8  --- 75 | cost [13.71]
8  --- 89 | cost [12.48]
9  --- 20 | cost [8.43]
9  --- 55 | cost [8.94]
10 --- 21 | cost [12.6]
10 --- 36 | cost [13.23]
11 --- 17 | cost [3.45]
11 --- 45 | cost [11.1]
12 --- 57 | cost [7.23]
12 --- 86 | cost [5.58]
13 --- 33 | cost [3.0300000000000002]
13 --- 82 | cost [12.0]
14 --- 41 | cost [10.32]
14 --- 43 | cost [11.370000000000001]
15 --- 32 | cost [8.4]
15 --- 59 | cost [11.1]
16 --- 22 | cost [2.1]
16 --- 53 | cost [7.68]
17 --- 74 | cost [10.620000000000001]
18 --- 38 | cost [8.31]
18 --- 53 | cost [12.99]
19 --- 49 | cost [12.96]
19 --- 92 | cost [17.31]
20 --- 27 | cost [5.43]
21 --- 59 | cost [4.53]
22 --- 66 | cost [16.47]
23 --- 60 | cost [10.35]
23 --- 91 | cost [5.76]
24 --- 79 | cost [11.58]
24 --- 99 | cost [11.91]
25 --- 51 | cost [7.62]
25 --- 69 | cost [10.41]
26 --- 70 | cost [20.07]
27 --- 35 | cost [5.34]
28 --- 47 | cost [17.13]
28 --- 58 | cost [9.09]
29 --- 43 | cost [10.14]
29 --- 83 | cost [13.08]
30 --- 96 | cost [9.21]
30 --- 100 | cost [19.32]
31 --- 42 | cost [6.87]
31 --- 56 | cost [11.01]
32 --- 91 | cost [6.45]
34 --- 46 | cost [9.33]
34 --- 55 | cost [5.07]
35 --- 60 | cost [13.92]
36 --- 38 | cost [6.84]
37 --- 52 | cost [9.78]
37 --- 76 | cost [14.88]
39 --- 48 | cost [19.05]
39 --- 78 | cost [10.56]
40 --- 69 | cost [10.92]
41 --- 48 | cost [12.99]
42 --- 92 | cost [13.41]
44 --- 54 | cost [13.89]
44 --- 73 | cost [6.99]
45 --- 98 | cost [6.42]
49 --- 63 | cost [6.0600000000000005]
50 --- 68 | cost [9.6]
51 --- 58 | cost [13.05]
52 --- 96 | cost [3.18]
54 --- 64 | cost [5.43]
61 --- 67 | cost [17.91]
61 --- 87 | cost [9.72]
62 --- 77 | cost [6.63]
62 --- 86 | cost [9.24]
64 --- 81 | cost [17.97]
65 --- 66 | cost [3.45]
65 --- 97 | cost [14.01]
67 --- 93 | cost [10.41]
68 --- 82 | cost [23.28]
70 --- 94 | cost [9.39]
71 --- 100 | cost [3.63]
72 --- 74 | cost [6.45]
72 --- 84 | cost [9.42]
73 --- 85 | cost [12.36]
75 --- 90 | cost [12.48]
76 --- 95 | cost [7.8]
77 --- 98 | cost [13.65]
79 --- 88 | cost [7.7700000000000005]
80 --- 89 | cost [7.59]
80 --- 97 | cost [14.91]
81 --- 87 | cost [11.55]
84 --- 99 | cost [17.79]
85 --- 95 | cost [29.79]
88 --- 94 | cost [4.83]

BACKUP STAR

B = 29.79
i★ = 85
j★ = 82
k★ = 95

       
——————— Wed, 10 Jan 2024 18:52:21 ————————— seperate y_ij <= y_jj - x_ij on lazy constraints ————————— use blossom = false
BD  —— 101 hubs —— 1-47-93-28-67-58-61-51-87-25-81-69-64-40-54-2-44-50-73-68-85-82-95-13-76-33-37-5-52-78-96-39-30-48-100-41-71-14-3-43-46-29-34-83-55-7-9-57-20-12-27-86-35-62-60-77-23-98-91-45-32-11-15-17-59-74-21-72-10-84-36-99-38-24-18-79-53-88-16-94-22-70-66-26-65-4-97-56-80-31-89-42-8-92-75-19-90-49-6-63-101-1
total time           196.29               gap                  0.0                  
blossom time         0                    nb blossom           0.0                  
LB <= UB             64054.53<=64054.53   Master/SP costs      63846/208.53         
Master time          189.48               SP time              6.81                 
subtour              4845.0               connectivity cuts    0.0                  
uc strategy          0                    uc tolerance         0.01                 
opt. cuts            16.0                 SP method            poly                 
tildeV               2:100                inst transformation  2                    
2-opt strategy       0                                                              
explored nodes       3145                 
F                    7.0                  
                                          o_i                  0                                                              
                                          
Found solution
RING NODES
1—47—93—28—67—58—61—51—87—25—81—69—64—40—54—2—44—50—73—68—85—82—95—13—76—33—37—5—52—78—96—39—30—48—100—41—71—14—3—43—46—29—34—83—55—7—9—57—20—12—27—86—35—62—60—77—23—98—91—45—32—11—15—17—59—74—21—72—10—84—36—99—38—24—18—79—53—88—16—94—22—70—66—26—65—4—97—56—80—31—89—42—8—92—75—19—90—49—6—63—101

RING
1  --- 47 | cost [1287.0]
2  --- 44 | cost [771.0]
2  --- 54 | cost [993.0]
3  --- 14 | cost [663.0]
3  --- 43 | cost [513.0]
4  --- 65 | cost [441.0]
4  --- 97 | cost [972.0]
5  --- 37 | cost [207.0]
5  --- 52 | cost [777.0]
6  --- 49 | cost [141.0]
6  --- 63 | cost [471.0]
7  ---  9 | cost [150.0]
7  --- 55 | cost [792.0]
8  --- 42 | cost [744.0]
8  --- 92 | cost [618.0]
9  --- 57 | cost [300.0]
10 --- 72 | cost [810.0]
10 --- 84 | cost [420.0]
11 --- 15 | cost [339.0]
11 --- 32 | cost [606.0]
12 --- 20 | cost [462.0]
12 --- 27 | cost [408.0]
13 --- 76 | cost [309.0]
13 --- 95 | cost [648.0]
14 --- 71 | cost [804.0]
15 --- 17 | cost [39.0]
16 --- 88 | cost [174.0]
16 --- 94 | cost [483.0]
17 --- 59 | cost [1074.0]
18 --- 24 | cost [543.0]
18 --- 79 | cost [690.0]
19 --- 75 | cost [702.0]
19 --- 90 | cost [1128.0]
20 --- 57 | cost [612.0]
21 --- 72 | cost [456.0]
21 --- 74 | cost [198.0]
22 --- 70 | cost [558.0]
22 --- 94 | cost [402.0]
23 --- 77 | cost [1146.0]
23 --- 98 | cost [324.0]
24 --- 38 | cost [288.0]
25 --- 81 | cost [153.0]
25 --- 87 | cost [1020.0]
26 --- 65 | cost [849.0]
26 --- 66 | cost [969.0]
27 --- 86 | cost [243.0]
28 --- 67 | cost [903.0]
28 --- 93 | cost [144.0]
29 --- 34 | cost [903.0]
29 --- 46 | cost [444.0]
30 --- 39 | cost [783.0]
30 --- 48 | cost [1281.0]
31 --- 80 | cost [261.0]
31 --- 89 | cost [564.0]
32 --- 45 | cost [666.0]
33 --- 37 | cost [1224.0]
33 --- 76 | cost [276.0]
34 --- 83 | cost [438.0]
35 --- 62 | cost [975.0]
35 --- 86 | cost [423.0]
36 --- 84 | cost [966.0]
36 --- 99 | cost [900.0]
38 --- 99 | cost [939.0]
39 --- 96 | cost [852.0]
40 --- 54 | cost [312.0]
40 --- 64 | cost [240.0]
41 --- 71 | cost [249.0]
41 --- 100 | cost [555.0]
42 --- 89 | cost [540.0]
43 --- 46 | cost [594.0]
44 --- 50 | cost [486.0]
45 --- 91 | cost [537.0]
47 --- 93 | cost [1599.0]
48 --- 100 | cost [756.0]
49 --- 90 | cost [624.0]
50 --- 73 | cost [540.0]
51 --- 61 | cost [558.0]
51 --- 87 | cost [438.0]
52 --- 78 | cost [120.0]
53 --- 79 | cost [669.0]
53 --- 88 | cost [690.0]
55 --- 83 | cost [69.0]
56 --- 80 | cost [843.0]
56 --- 97 | cost [648.0]
58 --- 61 | cost [975.0]
58 --- 67 | cost [1035.0]
59 --- 74 | cost [267.0]
60 --- 62 | cost [453.0]
60 --- 77 | cost [573.0]
63 --- 101 | cost [864.0]
64 --- 69 | cost [891.0]
66 --- 70 | cost [1200.0]
68 --- 73 | cost [801.0]
68 --- 85 | cost [459.0]
69 --- 81 | cost [909.0]
75 --- 92 | cost [1074.0]
78 --- 96 | cost [204.0]
82 --- 85 | cost [2403.0]
82 --- 95 | cost [735.0]
91 --- 98 | cost [297.0]

STAR

BACKUP RING
1  --- 93 | cost [12.39]
2  --- 40 | cost [10.11]
2  --- 50 | cost [12.48]
3  --- 46 | cost [4.17]
3  --- 71 | cost [12.030000000000001]
4  --- 26 | cost [12.51]
4  --- 56 | cost [15.0]
5  --- 33 | cost [14.25]
5  --- 78 | cost [7.26]
6  --- 90 | cost [7.47]
6  --- 101 | cost [11.91]
7  --- 57 | cost [2.79]
7  --- 83 | cost [8.1]
8  --- 75 | cost [13.71]
8  --- 89 | cost [12.48]
9  --- 20 | cost [8.43]
9  --- 55 | cost [8.94]
10 --- 21 | cost [12.6]
10 --- 36 | cost [13.23]
11 --- 17 | cost [3.45]
11 --- 45 | cost [11.1]
12 --- 57 | cost [7.23]
12 --- 86 | cost [5.58]
13 --- 33 | cost [3.0300000000000002]
13 --- 82 | cost [12.0]
14 --- 41 | cost [10.32]
14 --- 43 | cost [11.370000000000001]
15 --- 32 | cost [8.4]
15 --- 59 | cost [11.1]
16 --- 22 | cost [2.1]
16 --- 53 | cost [7.68]
17 --- 74 | cost [10.620000000000001]
18 --- 38 | cost [8.31]
18 --- 53 | cost [12.99]
19 --- 49 | cost [12.96]
19 --- 92 | cost [17.31]
20 --- 27 | cost [5.43]
21 --- 59 | cost [4.53]
22 --- 66 | cost [16.47]
23 --- 60 | cost [10.35]
23 --- 91 | cost [5.76]
24 --- 79 | cost [11.58]
24 --- 99 | cost [11.91]
25 --- 51 | cost [7.62]
25 --- 69 | cost [10.41]
26 --- 70 | cost [20.07]
27 --- 35 | cost [5.34]
28 --- 47 | cost [17.13]
28 --- 58 | cost [9.09]
29 --- 43 | cost [10.14]
29 --- 83 | cost [13.08]
30 --- 96 | cost [9.21]
30 --- 100 | cost [19.32]
31 --- 42 | cost [6.87]
31 --- 56 | cost [11.01]
32 --- 91 | cost [6.45]
34 --- 46 | cost [9.33]
34 --- 55 | cost [5.07]
35 --- 60 | cost [13.92]
36 --- 38 | cost [6.84]
37 --- 52 | cost [9.78]
37 --- 76 | cost [14.88]
39 --- 48 | cost [19.05]
39 --- 78 | cost [10.56]
40 --- 69 | cost [10.92]
41 --- 48 | cost [12.99]
42 --- 92 | cost [13.41]
44 --- 54 | cost [13.89]
44 --- 73 | cost [6.99]
45 --- 98 | cost [6.42]
49 --- 63 | cost [6.0600000000000005]
50 --- 68 | cost [9.6]
51 --- 58 | cost [13.05]
52 --- 96 | cost [3.18]
54 --- 64 | cost [5.43]
61 --- 67 | cost [17.91]
61 --- 87 | cost [9.72]
62 --- 77 | cost [6.63]
62 --- 86 | cost [9.24]
64 --- 81 | cost [17.97]
65 --- 66 | cost [3.45]
65 --- 97 | cost [14.01]
67 --- 93 | cost [10.41]
68 --- 82 | cost [23.28]
70 --- 94 | cost [9.39]
71 --- 100 | cost [3.63]
72 --- 74 | cost [6.45]
72 --- 84 | cost [9.42]
73 --- 85 | cost [12.36]
75 --- 90 | cost [12.48]
76 --- 95 | cost [7.8]
77 --- 98 | cost [13.65]
79 --- 88 | cost [7.7700000000000005]
80 --- 89 | cost [7.59]
80 --- 97 | cost [14.91]
81 --- 87 | cost [11.55]
84 --- 99 | cost [17.79]
85 --- 95 | cost [29.79]
88 --- 94 | cost [4.83]

BACKUP STAR

B = 29.79
i★ = 85
j★ = 82
k★ = 95