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

——————— Mon, 08 Jan 2024 17:12:05 ————————— seperate y_ij <= y_jj - x_ij on lazy constraints ————————— use blossom = false
BD  —— 80 hubs —— 1-90-21-10-68-86-49-30-80-20-38-46-25-9-27-61-94-57-74-60-87-89-83-4-6-15-33-64-82-48-31-63-13-78-17-45-36-92-96-18-24-77-50-55-22-88-54-52-58-84-72-37-65-79-81-56-100-26-62-5-67-40-39-70-53-73-85-93-11-3-28-91-97-99-76-59-32-98-12-101-1
total time           250.27               gap                  0.0                  
blossom time         0                    nb blossom           0.0                  
LB <= UB             106531.69<=106535.7  Master/SP costs      105150/1385.7        
Master time          236.41               SP time              13.86                
subtour              5753.0               connectivity cuts    2000.0               
uc strategy          4                    uc tolerance         0.01                 
opt. cuts            89.0                 SP method            poly                 
tildeV               2:100                inst transformation  2                    
2-opt strategy       0                                                              
explored nodes       13977                
F                    31.0                 
                                          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—74—60—87—89—83—4—6—15—33—64—82—48—31—63—13—78—17—45—36—92—96—18—24—77—50—55—22—88—54—52—58—84—72—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  --- 83 | cost [1105.0]
5  --- 62 | cost [1530.0]
5  --- 67 | cost [1145.0]
6  --- 15 | cost [1290.0]
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 --- 72 | cost [540.0]
38 --- 46 | cost [2325.0]
39 --- 40 | cost [800.0]
39 --- 70 | cost [545.0]
40 --- 67 | cost [1640.0]
48 --- 82 | cost [2025.0]
49 --- 86 | cost [130.0]
50 --- 55 | cost [1835.0]
50 --- 77 | cost [1890.0]
52 --- 54 | cost [945.0]
52 --- 58 | cost [1230.0]
53 --- 70 | cost [1150.0]
53 --- 73 | cost [1735.0]
54 --- 88 | cost [2650.0]
56 --- 81 | cost [1985.0]
56 --- 100 | cost [320.0]
57 --- 74 | cost [1865.0]
57 --- 94 | cost [790.0]
58 --- 84 | cost [270.0]
59 --- 76 | cost [700.0]
60 --- 74 | cost [560.0]
60 --- 87 | cost [1165.0]
61 --- 94 | cost [1370.0]
64 --- 82 | cost [1125.0]
65 --- 79 | cost [960.0]
68 --- 86 | cost [1435.0]
72 --- 84 | cost [2650.0]
73 --- 85 | cost [440.0]
76 --- 99 | cost [615.0]
79 --- 81 | cost [880.0]
83 --- 89 | cost [2345.0]
85 --- 93 | cost [1400.0]
87 --- 89 | cost [1540.0]
91 --- 97 | cost [1000.0]
92 --- 96 | cost [690.0]
97 --- 99 | cost [610.0]

STAR
2  --> 13 | cost [920.0]
7  --> 84 | cost [155.0]
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]
43 --> 89 | cost [1050.0]
44 --> 92 | cost [1665.0]
47 --> 79 | cost [1255.0]
51 --> 31 | cost [2495.0]
66 --> 74 | cost [1745.0]
69 --> 26 | cost [775.0]
71 --> 12 | cost [985.0]
75 --> 30 | cost [295.0]
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  --- 89 | cost [29.150000000000002]
5  --- 26 | cost [24.2]
5  --- 40 | cost [17.3]
6  --- 33 | cost [13.9]
6  --- 83 | cost [13.75]
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 --- 50 | cost [35.6]
22 --- 54 | cost [31.45]
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]
37 --- 84 | cost [30.400000000000002]
38 --- 80 | cost [6.3]
39 --- 53 | cost [11.950000000000001]
39 --- 67 | cost [18.3]
40 --- 70 | cost [13.200000000000001]
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 --- 88 | cost [34.4]
53 --- 85 | cost [21.150000000000002]
54 --- 58 | cost [17.2]
55 --- 77 | cost [21.0]
55 --- 88 | cost [19.7]
56 --- 79 | cost [20.6]
57 --- 60 | cost [20.400000000000002]
57 --- 61 | cost [20.95]
58 --- 72 | cost [24.75]
59 --- 98 | cost [19.650000000000002]
59 --- 99 | cost [10.55]
60 --- 89 | cost [17.650000000000002]
62 --- 67 | cost [26.45]
62 --- 100 | cost [11.6]
63 --- 78 | cost [20.75]
65 --- 72 | cost [21.3]
65 --- 81 | cost [17.75]
70 --- 73 | cost [28.6]
73 --- 93 | cost [17.8]
74 --- 87 | cost [13.450000000000001]
74 --- 94 | cost [19.85]
76 --- 97 | cost [8.05]
81 --- 100 | cost [22.55]
83 --- 87 | cost [21.900000000000002]
91 --- 99 | cost [13.4]
98 --- 101 | cost [11.450000000000001]

BACKUP STAR
2  --> 78 | cost [12.950000000000001]
7  --> 58 | cost [4.1]
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 --> 27 | cost [15.3]
35 --> 27 | cost [16.85]
41 --> 36 | cost [10.6]
42 --> 82 | cost [13.0]
43 --> 52 | cost [15.950000000000001]
44 --> 96 | cost [23.55]
47 --> 65 | cost [13.0]
51 --> 48 | cost [23.05]
66 --> 87 | cost [17.8]
69 --> 100 | cost [11.75]
71 --> 27 | cost [13.0]
75 --> 80 | cost [10.6]

B = 44.7
i★ = 24
j★ = 77
k★ = 50

       
——————— Fri, 12 Jan 2024 02:33:28 ————————— seperate y_ij <= y_jj - x_ij on lazy constraints ————————— use blossom = false
ILP ——— 67 hubs —— 1—90—12—32—59—76—8—99—97—28—91—11—93—85—73—53—10—39—40—67—5—62—26—75—49—30—38—20—79—65—37—88—22—55—77—24—45—36—92—41—17—78—13—63—31—48—82—64—33—15—6—4—87—60—89—43—52—58—84—7—57—94—61—27—9—71—101
total time           3633.7 (TL 3600)     gap                  0.108                
blossom time         0                    nb blossom           0.0                  
LB <= UB             104053.3<=116674.2   subtour              3426.0               
connectivity cuts    0.0                  uc strategy          0                    
uc tolerance         0.01                 tildeV               2:100                
2-opt strategy       0                                                              
explored_nodes       1072                 n lazycuts edges     0.0                  
F                    31.0                 post procedure       true                 
o_i                  0                                                                                                                                                  
Found solution
RING NODES
1—90—12—32—59—76—8—99—97—28—91—11—93—85—73—53—10—39—40—67—5—62—26—75—49—30—38—20—79—65—37—88—22—55—77—24—45—36—92—41—17—78—13—63—31—48—82—64—33—15—6—4—87—60—89—43—52—58—84—7—57—94—61—27—9—71—101

RING
1  --- 90 | cost [745.0]
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]
8  --- 76 | cost [785.0]
8  --- 99 | cost [210.0]
9  --- 27 | cost [1470.0]
9  --- 71 | cost [1645.0]
10 --- 39 | cost [2755.0]
10 --- 53 | cost [2425.0]
11 --- 91 | cost [2000.0]
11 --- 93 | cost [270.0]
12 --- 32 | cost [2015.0]
12 --- 90 | cost [1580.0]
13 --- 63 | cost [1325.0]
13 --- 78 | cost [850.0]
15 --- 33 | cost [930.0]
17 --- 41 | cost [810.0]
17 --- 78 | cost [1280.0]
20 --- 38 | cost [425.0]
20 --- 79 | cost [2670.0]
22 --- 55 | cost [1830.0]
22 --- 88 | cost [565.0]
24 --- 45 | cost [2115.0]
24 --- 77 | cost [960.0]
26 --- 62 | cost [905.0]
26 --- 75 | cost [1655.0]
27 --- 61 | cost [1205.0]
28 --- 91 | cost [320.0]
28 --- 97 | cost [1320.0]
30 --- 38 | cost [1280.0]
30 --- 49 | cost [1260.0]
31 --- 48 | cost [625.0]
31 --- 63 | cost [830.0]
32 --- 59 | cost [780.0]
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]
39 --- 40 | cost [800.0]
40 --- 67 | cost [1640.0]
41 --- 92 | cost [1580.0]
43 --- 52 | cost [1595.0]
43 --- 89 | cost [1050.0]
48 --- 82 | cost [2025.0]
49 --- 75 | cost [1525.0]
52 --- 58 | cost [1230.0]
53 --- 73 | cost [1735.0]
55 --- 77 | cost [2100.0]
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]
71 --- 101 | cost [2195.0]
73 --- 85 | cost [440.0]
85 --- 93 | cost [1400.0]
97 --- 99 | cost [610.0]

STAR
2  --> 13 | cost [920.0]
3  --> 11 | cost [950.0]
14 --> 64 | cost [605.0]
16 --> 77 | cost [1300.0]
18 --> 24 | cost [765.0]
19 --> 92 | cost [370.0]
21 --> 90 | cost [765.0]
23 --> 22 | cost [235.0]
25 -->  9 | cost [150.0]
29 -->  8 | cost [500.0]
34 --> 57 | cost [1210.0]
35 --> 61 | cost [530.0]
42 --> 64 | cost [1270.0]
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]
56 --> 75 | cost [1935.0]
66 --> 87 | cost [1780.0]
68 --> 10 | cost [645.0]
69 --> 26 | cost [775.0]
70 --> 39 | cost [545.0]
72 --> 37 | cost [540.0]
74 --> 60 | cost [560.0]
80 --> 20 | cost [210.0]
81 --> 79 | cost [880.0]
83 -->  4 | cost [1105.0]
86 --> 49 | cost [130.0]
95 -->  1 | cost [480.0]
96 --> 92 | cost [690.0]
98 --> 12 | cost [935.0]
100 --> 26 | cost [440.0]

BACKUP RING
1  --- 12 | cost [13.15]
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]
8  --- 59 | cost [11.1]
8  --- 97 | cost [7.8500000000000005]
9  --- 61 | cost [26.6]
9  --- 101 | cost [25.75]
10 --- 40 | cost [25.900000000000002]
10 --- 73 | cost [25.75]
11 --- 28 | cost [17.8]
11 --- 85 | cost [15.4]
12 --- 59 | cost [27.5]
13 --- 17 | cost [20.5]
13 --- 31 | cost [21.55]
15 --- 64 | cost [23.45]
17 --- 92 | cost [18.3]
20 --- 30 | cost [10.25]
20 --- 65 | cost [22.7]
22 --- 37 | cost [43.75]
22 --- 77 | cost [38.050000000000004]
24 --- 36 | cost [23.3]
24 --- 55 | cost [22.150000000000002]
26 --- 49 | cost [26.6]
27 --- 71 | cost [13.0]
27 --- 94 | cost [15.200000000000001]
28 --- 99 | cost [16.3]
30 --- 75 | cost [2.95]
31 --- 82 | cost [26.35]
32 --- 76 | cost [13.450000000000001]
32 --- 90 | cost [29.150000000000002]
33 --- 82 | cost [14.15]
36 --- 41 | cost [10.6]
37 --- 79 | cost [26.75]
38 --- 49 | cost [12.75]
38 --- 79 | cost [30.95]
39 --- 53 | cost [11.950000000000001]
39 --- 67 | cost [18.3]
41 --- 78 | cost [20.3]
43 --- 58 | cost [25.5]
43 --- 60 | cost [22.25]
45 --- 77 | cost [25.05]
45 --- 92 | cost [15.0]
48 --- 63 | cost [9.05]
48 --- 64 | cost [30.45]
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]
62 --- 67 | cost [26.45]
62 --- 75 | cost [24.650000000000002]
63 --- 78 | cost [20.75]
65 --- 88 | cost [44.550000000000004]
73 --- 93 | cost [17.8]
76 --- 99 | cost [6.15]
87 --- 89 | cost [15.4]
91 --- 93 | cost [21.900000000000002]
91 --- 97 | cost [10.0]

BACKUP STAR
2  --> 78 | cost [12.950000000000001]
3  --> 93 | cost [12.1]
14 --> 82 | cost [15.9]
16 --> 78 | cost [17.85]
18 --> 77 | cost [12.65]
19 --> 36 | cost [14.4]
21 -->  1 | cost [12.9]
23 --> 88 | cost [6.4]
25 --> 27 | cost [15.950000000000001]
29 --> 99 | cost [6.45]
34 -->  7 | cost [14.700000000000001]
35 --> 27 | cost [16.85]
42 --> 82 | cost [13.0]
44 --> 41 | cost [22.35]
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]
56 --> 26 | cost [7.6000000000000005]
66 --> 60 | cost [21.35]
68 --> 49 | cost [14.450000000000001]
69 --> 62 | cost [12.55]
70 --> 53 | cost [11.5]
72 --> 65 | cost [21.3]
74 --> 87 | cost [13.450000000000001]
80 --> 38 | cost [6.3]
81 --> 65 | cost [17.75]
83 -->  6 | cost [13.75]
86 --> 38 | cost [12.700000000000001]
96 --> 36 | cost [9.1]
98 -->  1 | cost [11.450000000000001]
100 --> 62 | cost [11.6]

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

       
——————— Fri, 12 Jan 2024 03:34:40 ————————— seperate y_ij <= y_jj - x_ij on lazy constraints ————————— use blossom = false
BD  —— 74 hubs —— 1-46-25-34-27-61-94-57-84-58-43-89-60-87-83-4-6-15-33-64-2-31-48-63-13-78-17-45-96-92-36-18-77-24-22-23-88-54-37-65-79-81-56-100-62-5-69-49-20-80-75-30-68-10-53-70-39-40-73-85-93-11-3-91-97-59-76-99-8-32-98-12-95-101-1
total time           3605.37 (TL 3600)    gap                  0.191                
blossom time         0                    nb blossom           0.0                  
LB <= UB             98250<=121397.45     Master/SP costs      119260/2137.45       
Master time          3602.3               SP time              3.07                 
subtour              49171.0              connectivity cuts    0.0                  
uc strategy          0                    uc tolerance         0.01                 
opt. cuts            12.0                 SP method            poly                 
tildeV               2:100                inst transformation  2                    
2-opt strategy       0                                                              
explored nodes       17978                
F                    31.0                 
                                          o_i                  0                                                              
                                          
Found solution
RING NODES
1—46—25—34—27—61—94—57—84—58—43—89—60—87—83—4—6—15—33—64—2—31—48—63—13—78—17—45—96—92—36—18—77—24—22—23—88—54—37—65—79—81—56—100—62—5—69—49—20—80—75—30—68—10—53—70—39—40—73—85—93—11—3—91—97—59—76—99—8—32—98—12—95—101

RING
1  --- 46 | cost [2385.0]
2  --- 31 | cost [2770.0]
2  --- 64 | cost [2325.0]
3  --- 11 | cost [950.0]
3  --- 91 | cost [1795.0]
4  ---  6 | cost [1120.0]
4  --- 83 | cost [1105.0]
5  --- 62 | cost [1530.0]
5  --- 69 | cost [2515.0]
6  --- 15 | cost [1290.0]
8  --- 32 | cost [1315.0]
8  --- 99 | cost [210.0]
10 --- 53 | cost [2425.0]
10 --- 68 | cost [645.0]
11 --- 93 | cost [270.0]
12 --- 95 | cost [1525.0]
12 --- 98 | cost [935.0]
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 --- 36 | cost [1615.0]
18 --- 77 | cost [1265.0]
20 --- 49 | cost [1440.0]
20 --- 80 | cost [210.0]
22 --- 23 | cost [235.0]
22 --- 24 | cost [3595.0]
23 --- 88 | cost [640.0]
24 --- 77 | cost [960.0]
25 --- 34 | cost [1640.0]
25 --- 46 | cost [310.0]
27 --- 34 | cost [1530.0]
27 --- 61 | cost [1205.0]
30 --- 68 | cost [2490.0]
30 --- 75 | cost [295.0]
31 --- 48 | cost [625.0]
32 --- 98 | cost [1190.0]
33 --- 64 | cost [1420.0]
36 --- 92 | cost [1140.0]
37 --- 54 | cost [2565.0]
37 --- 65 | cost [1715.0]
39 --- 40 | cost [800.0]
39 --- 70 | cost [545.0]
40 --- 73 | cost [3420.0]
43 --- 58 | cost [2550.0]
43 --- 89 | cost [1050.0]
45 --- 96 | cost [1140.0]
48 --- 63 | cost [905.0]
49 --- 69 | cost [1945.0]
53 --- 70 | cost [1150.0]
54 --- 88 | cost [2650.0]
56 --- 81 | cost [1985.0]
56 --- 100 | cost [320.0]
57 --- 84 | cost [1480.0]
57 --- 94 | cost [790.0]
58 --- 84 | cost [270.0]
59 --- 76 | cost [700.0]
59 --- 97 | cost [1470.0]
60 --- 87 | cost [1165.0]
60 --- 89 | cost [1765.0]
61 --- 94 | cost [1370.0]
62 --- 100 | cost [1160.0]
65 --- 79 | cost [960.0]
73 --- 85 | cost [440.0]
75 --- 80 | cost [1060.0]
76 --- 99 | cost [615.0]
79 --- 81 | cost [880.0]
83 --- 87 | cost [2190.0]
85 --- 93 | cost [1400.0]
91 --- 97 | cost [1000.0]
92 --- 96 | cost [690.0]
95 --- 101 | cost [480.0]

STAR
7  --> 84 | cost [155.0]
9  --> 25 | cost [150.0]
14 --> 64 | cost [605.0]
16 -->  2 | cost [1180.0]
19 --> 92 | cost [370.0]
21 -->  1 | cost [1290.0]
26 --> 100 | cost [440.0]
28 --> 91 | cost [320.0]
29 -->  8 | cost [500.0]
35 --> 61 | cost [530.0]
38 --> 20 | cost [425.0]
41 --> 17 | cost [810.0]
42 -->  2 | cost [1085.0]
44 --> 92 | cost [1665.0]
47 --> 79 | cost [1255.0]
50 --> 43 | cost [1745.0]
51 --> 48 | cost [2305.0]
52 --> 54 | cost [945.0]
55 --> 22 | cost [1830.0]
66 --> 87 | cost [1780.0]
67 -->  5 | cost [1145.0]
71 --> 12 | cost [985.0]
72 --> 37 | cost [540.0]
74 --> 60 | cost [560.0]
82 --> 64 | cost [1125.0]
86 --> 49 | cost [130.0]
90 -->  1 | cost [745.0]

BACKUP RING
1  --- 25 | cost [26.35]
2  --- 33 | cost [35.35]
2  --- 48 | cost [25.25]
3  --- 93 | cost [12.1]
3  --- 97 | cost [22.55]
4  --- 15 | cost [24.05]
4  --- 87 | cost [21.0]
5  --- 49 | cost [40.85]
5  --- 100 | cost [26.85]
6  --- 33 | cost [13.9]
6  --- 83 | cost [13.75]
8  --- 76 | cost [7.8500000000000005]
8  --- 98 | cost [22.55]
10 --- 30 | cost [30.75]
10 --- 70 | cost [31.55]
11 --- 85 | cost [15.4]
11 --- 91 | cost [20.0]
12 --- 32 | cost [20.150000000000002]
12 --- 101 | cost [13.15]
13 --- 17 | cost [20.5]
13 --- 48 | cost [21.1]
15 --- 64 | cost [23.45]
17 --- 96 | cost [17.05]
18 --- 24 | cost [7.65]
18 --- 92 | cost [22.95]
20 --- 69 | cost [24.400000000000002]
20 --- 75 | cost [12.3]
22 --- 77 | cost [38.050000000000004]
22 --- 88 | cost [5.65]
23 --- 24 | cost [37.7]
23 --- 54 | cost [32.8]
25 --- 27 | cost [15.950000000000001]
27 --- 94 | cost [15.200000000000001]
30 --- 80 | cost [8.8]
31 --- 63 | cost [8.3]
31 --- 64 | cost [36.2]
32 --- 99 | cost [13.85]
34 --- 46 | cost [19.45]
34 --- 61 | cost [24.35]
36 --- 77 | cost [28.2]
36 --- 96 | cost [9.1]
37 --- 79 | cost [26.75]
37 --- 88 | cost [38.15]
39 --- 53 | cost [11.950000000000001]
39 --- 73 | cost [29.1]
40 --- 70 | cost [13.200000000000001]
40 --- 85 | cost [37.25]
43 --- 60 | cost [22.25]
43 --- 84 | cost [26.05]
45 --- 78 | cost [15.450000000000001]
45 --- 92 | cost [15.0]
49 --- 80 | cost [14.950000000000001]
53 --- 68 | cost [26.400000000000002]
54 --- 65 | cost [40.800000000000004]
56 --- 62 | cost [13.9]
56 --- 79 | cost [20.6]
57 --- 58 | cost [17.400000000000002]
57 --- 61 | cost [20.95]
58 --- 89 | cost [30.75]
59 --- 91 | cost [23.8]
59 --- 99 | cost [10.55]
60 --- 83 | cost [32.85]
62 --- 69 | cost [12.55]
63 --- 78 | cost [20.75]
65 --- 81 | cost [17.75]
68 --- 75 | cost [26.85]
73 --- 93 | cost [17.8]
76 --- 97 | cost [8.05]
81 --- 100 | cost [22.55]
84 --- 94 | cost [22.7]
87 --- 89 | cost [15.4]
95 --- 98 | cost [10.25]

BACKUP STAR
7  --> 58 | cost [4.1]
9  --> 46 | cost [3.7]
14 --> 83 | cost [19.45]
16 --> 77 | cost [13.0]
19 --> 96 | cost [7.6000000000000005]
26 --> 56 | cost [7.6000000000000005]
28 --> 97 | cost [13.200000000000001]
29 --> 99 | cost [6.45]
35 --> 27 | cost [16.85]
38 --> 80 | cost [6.3]
41 --> 36 | cost [10.6]
42 --> 64 | cost [12.700000000000001]
44 --> 96 | cost [23.55]
47 --> 65 | cost [13.0]
50 --> 77 | cost [18.900000000000002]
51 --> 31 | cost [24.95]
52 --> 58 | cost [12.3]
55 --> 88 | cost [19.7]
66 --> 60 | cost [21.35]
67 --> 40 | cost [16.4]
71 --> 27 | cost [13.0]
72 --> 65 | cost [21.3]
74 --> 87 | cost [13.450000000000001]
82 --> 33 | cost [14.15]
86 --> 30 | cost [13.65]

B = 68.95
i★ = 2
j★ = 64
k★ = 33