------------------------------------------------------------
                           α=7.0 —— eil76 —— 76 nodes       
------------------------------------------------------------

——————— Mon, 08 Jan 2024 12:58:54 ————————— seperate y_ij <= y_jj - x_ij on lazy constraints ————————— use blossom = false
ILP ——— 33 hubs —— 1—73—62—28—21—47—36—37—5—29—45—4—75—76—67—34—46—8—35—53—11—38—10—72—39—9—32—44—3—49—23—43—77
total time           1690.17              gap                  0.0                  
blossom time         0                    nb blossom           0.0                  
LB <= UB             2569.41<=2569.41     subtour              95.0                 
connectivity cuts    277.0                uc strategy          4                    
uc tolerance         0.01                 tildeV               2:76                 
2-opt strategy       0                                                              
explored_nodes       398                  n lazycuts edges     0.0                  
F                    31.0                 post procedure       true                 
o_i                  0                                                                                                                                                  
Found solution
RING NODES
1—73—62—28—21—47—36—37—5—29—45—4—75—76—67—34—46—8—35—53—11—38—10—72—39—9—32—44—3—49—23—43—77

RING
1  --- 73 | cost [35.0]
1  --- 77 | cost [0.0]
3  --- 44 | cost [21.0]
3  --- 49 | cost [77.0]
4  --- 45 | cost [49.0]
4  --- 75 | cost [35.0]
5  --- 29 | cost [49.0]
5  --- 37 | cost [49.0]
8  --- 35 | cost [35.0]
8  --- 46 | cost [35.0]
9  --- 32 | cost [49.0]
9  --- 39 | cost [28.0]
10 --- 38 | cost [49.0]
10 --- 72 | cost [56.0]
11 --- 38 | cost [56.0]
11 --- 53 | cost [56.0]
21 --- 28 | cost [63.0]
21 --- 47 | cost [42.0]
23 --- 43 | cost [70.0]
23 --- 49 | cost [70.0]
28 --- 62 | cost [42.0]
29 --- 45 | cost [28.0]
32 --- 44 | cost [35.0]
34 --- 46 | cost [14.0]
34 --- 67 | cost [35.0]
35 --- 53 | cost [49.0]
36 --- 37 | cost [56.0]
36 --- 47 | cost [42.0]
39 --- 72 | cost [35.0]
43 --- 77 | cost [49.0]
62 --- 73 | cost [35.0]
67 --- 76 | cost [35.0]
75 --- 76 | cost [21.0]

STAR
2  --> 62 | cost [24.0]
6  --> 75 | cost [24.0]
7  --> 35 | cost [15.0]
12 --> 72 | cost [27.0]
13 -->  8 | cost [36.0]
14 --> 53 | cost [21.0]
15 -->  5 | cost [24.0]
16 -->  3 | cost [27.0]
17 --> 76 | cost [24.0]
18 --> 32 | cost [39.0]
19 --> 35 | cost [21.0]
20 --> 37 | cost [18.0]
22 --> 62 | cost [24.0]
24 --> 49 | cost [21.0]
25 -->  9 | cost [30.0]
26 --> 67 | cost [18.0]
27 --> 45 | cost [18.0]
30 --> 45 | cost [24.0]
31 --> 10 | cost [39.0]
33 --> 73 | cost [15.0]
40 --> 44 | cost [27.0]
41 --> 43 | cost [12.0]
42 --> 43 | cost [15.0]
48 --> 47 | cost [18.0]
50 --> 32 | cost [24.0]
51 -->  3 | cost [30.0]
52 --> 34 | cost [12.0]
54 -->  8 | cost [39.0]
55 -->  9 | cost [57.0]
56 --> 23 | cost [18.0]
57 -->  5 | cost [36.0]
58 --> 72 | cost [15.0]
59 --> 11 | cost [45.0]
60 --> 37 | cost [36.0]
61 --> 28 | cost [30.0]
63 -->  1 | cost [24.0]
64 --> 43 | cost [42.0]
65 --> 38 | cost [15.0]
66 --> 11 | cost [21.0]
68 --> 75 | cost [12.0]
69 --> 36 | cost [21.0]
70 --> 37 | cost [27.0]
71 --> 36 | cost [21.0]
74 --> 28 | cost [18.0]

BACKUP RING
1  --- 62 | cost [0.56]
3  --- 23 | cost [1.4000000000000001]
3  --- 32 | cost [0.56]
4  --- 29 | cost [0.77]
4  --- 76 | cost [0.49]
5  --- 36 | cost [0.7000000000000001]
5  --- 45 | cost [0.77]
8  --- 34 | cost [0.49]
8  --- 53 | cost [0.84]
9  --- 44 | cost [0.84]
9  --- 72 | cost [0.63]
10 --- 11 | cost [1.05]
10 --- 39 | cost [0.84]
11 --- 35 | cost [1.05]
21 --- 36 | cost [0.7000000000000001]
21 --- 62 | cost [1.12]
23 --- 77 | cost [0.91]
28 --- 47 | cost [1.05]
28 --- 73 | cost [0.77]
29 --- 37 | cost [0.98]
32 --- 39 | cost [0.77]
34 --- 76 | cost [0.7000000000000001]
35 --- 46 | cost [0.63]
37 --- 47 | cost [0.7000000000000001]
38 --- 53 | cost [0.84]
38 --- 72 | cost [0.91]
43 --- 49 | cost [1.33]
44 --- 49 | cost [0.91]
45 --- 75 | cost [0.84]
46 --- 67 | cost [0.42]
67 --- 75 | cost [0.49]

BACKUP STAR
2  --> 73 | cost [0.27]
6  --> 76 | cost [0.27]
7  -->  8 | cost [0.21]
12 --> 39 | cost [0.3]
13 --> 29 | cost [0.39]
14 --> 35 | cost [0.3]
15 --> 37 | cost [0.27]
16 --> 49 | cost [0.27]
17 --> 75 | cost [0.3]
18 --> 44 | cost [0.42]
19 -->  8 | cost [0.24]
20 -->  5 | cost [0.39]
22 --> 28 | cost [0.27]
24 -->  3 | cost [0.42]
25 --> 32 | cost [0.36]
26 --> 76 | cost [0.18]
27 --> 34 | cost [0.24]
30 -->  4 | cost [0.27]
31 --> 39 | cost [0.48]
33 -->  1 | cost [0.24]
40 --> 32 | cost [0.27]
41 -->  1 | cost [0.33]
42 -->  1 | cost [0.33]
48 --> 29 | cost [0.18]
50 --> 44 | cost [0.3]
51 --> 75 | cost [0.33]
52 --> 46 | cost [0.15]
54 --> 35 | cost [0.45]
55 --> 32 | cost [0.63]
56 --> 43 | cost [0.36]
57 --> 29 | cost [0.39]
58 --> 10 | cost [0.18]
59 --> 53 | cost [0.51]
60 --> 36 | cost [0.36]
61 --> 21 | cost [0.33]
64 -->  1 | cost [0.54]
65 --> 11 | cost [0.21]
66 --> 38 | cost [0.36]
68 -->  4 | cost [0.21]
69 --> 21 | cost [0.33]
70 --> 36 | cost [0.36]
71 --> 37 | cost [0.3]
74 --> 21 | cost [0.24]

B = 2.1100000000000003
i★ = 23
j★ = 43
k★ = 77

       
——————— Mon, 08 Jan 2024 13:01:27 ————————— seperate y_ij <= y_jj - x_ij on lazy constraints ————————— use blossom = false
BD  —— 33 hubs —— 1-73-62-28-21-47-36-37-5-29-45-4-75-76-67-34-46-8-35-53-11-38-10-72-39-9-32-44-3-49-23-43-77-1
total time           116.74               gap                  0.0                  
blossom time         0                    nb blossom           0.0                  
LB <= UB             2569.41<=2569.41     Master/SP costs      2504/65.41           
Master time          112.55               SP time              4.19                 
subtour              519.0                connectivity cuts    2000.0               
uc strategy          4                    uc tolerance         0.01                 
opt. cuts            84.0                 SP method            poly                 
tildeV               2:76                 inst transformation  2                    
2-opt strategy       0                                                              
explored nodes       7633                 
F                    31.0                 
                                          o_i                  0                                                              
                                          
Found solution
RING NODES
1—73—62—28—21—47—36—37—5—29—45—4—75—76—67—34—46—8—35—53—11—38—10—72—39—9—32—44—3—49—23—43—77

RING
1  --- 73 | cost [35.0]
1  --- 77 | cost [0.0]
3  --- 44 | cost [21.0]
3  --- 49 | cost [77.0]
4  --- 45 | cost [49.0]
4  --- 75 | cost [35.0]
5  --- 29 | cost [49.0]
5  --- 37 | cost [49.0]
8  --- 35 | cost [35.0]
8  --- 46 | cost [35.0]
9  --- 32 | cost [49.0]
9  --- 39 | cost [28.0]
10 --- 38 | cost [49.0]
10 --- 72 | cost [56.0]
11 --- 38 | cost [56.0]
11 --- 53 | cost [56.0]
21 --- 28 | cost [63.0]
21 --- 47 | cost [42.0]
23 --- 43 | cost [70.0]
23 --- 49 | cost [70.0]
28 --- 62 | cost [42.0]
29 --- 45 | cost [28.0]
32 --- 44 | cost [35.0]
34 --- 46 | cost [14.0]
34 --- 67 | cost [35.0]
35 --- 53 | cost [49.0]
36 --- 37 | cost [56.0]
36 --- 47 | cost [42.0]
39 --- 72 | cost [35.0]
43 --- 77 | cost [49.0]
62 --- 73 | cost [35.0]
67 --- 76 | cost [35.0]
75 --- 76 | cost [21.0]

STAR
2  --> 62 | cost [24.0]
6  --> 75 | cost [24.0]
7  --> 35 | cost [15.0]
12 --> 72 | cost [27.0]
13 -->  8 | cost [36.0]
14 --> 53 | cost [21.0]
15 -->  5 | cost [24.0]
16 --> 49 | cost [27.0]
17 --> 76 | cost [24.0]
18 --> 32 | cost [39.0]
19 --> 35 | cost [21.0]
20 --> 37 | cost [18.0]
22 --> 62 | cost [24.0]
24 --> 49 | cost [21.0]
25 -->  9 | cost [30.0]
26 --> 76 | cost [18.0]
27 --> 45 | cost [18.0]
30 --> 45 | cost [24.0]
31 --> 10 | cost [39.0]
33 --> 73 | cost [15.0]
40 --> 44 | cost [27.0]
41 --> 43 | cost [12.0]
42 --> 43 | cost [15.0]
48 --> 29 | cost [18.0]
50 --> 32 | cost [24.0]
51 -->  3 | cost [30.0]
52 --> 34 | cost [12.0]
54 -->  8 | cost [39.0]
55 -->  9 | cost [57.0]
56 --> 23 | cost [18.0]
57 -->  5 | cost [36.0]
58 --> 72 | cost [15.0]
59 --> 11 | cost [45.0]
60 --> 37 | cost [36.0]
61 --> 28 | cost [30.0]
63 -->  1 | cost [24.0]
64 --> 43 | cost [42.0]
65 --> 38 | cost [15.0]
66 --> 11 | cost [21.0]
68 --> 75 | cost [12.0]
69 --> 36 | cost [21.0]
70 --> 37 | cost [27.0]
71 --> 36 | cost [21.0]
74 --> 28 | cost [18.0]

BACKUP RING
1  --- 62 | cost [0.56]
3  --- 23 | cost [1.4000000000000001]
3  --- 32 | cost [0.56]
4  --- 29 | cost [0.77]
4  --- 76 | cost [0.49]
5  --- 36 | cost [0.7000000000000001]
5  --- 45 | cost [0.77]
8  --- 34 | cost [0.49]
8  --- 53 | cost [0.84]
9  --- 44 | cost [0.84]
9  --- 72 | cost [0.63]
10 --- 11 | cost [1.05]
10 --- 39 | cost [0.84]
11 --- 35 | cost [1.05]
21 --- 36 | cost [0.7000000000000001]
21 --- 62 | cost [1.12]
23 --- 77 | cost [0.91]
28 --- 47 | cost [1.05]
28 --- 73 | cost [0.77]
29 --- 37 | cost [0.98]
32 --- 39 | cost [0.77]
34 --- 76 | cost [0.7000000000000001]
35 --- 46 | cost [0.63]
37 --- 47 | cost [0.7000000000000001]
38 --- 53 | cost [0.84]
38 --- 72 | cost [0.91]
43 --- 49 | cost [1.33]
44 --- 49 | cost [0.91]
45 --- 75 | cost [0.84]
46 --- 67 | cost [0.42]
67 --- 75 | cost [0.49]

BACKUP STAR
2  --> 73 | cost [0.27]
6  --> 76 | cost [0.27]
7  -->  8 | cost [0.21]
12 --> 39 | cost [0.3]
13 --> 29 | cost [0.39]
14 --> 35 | cost [0.3]
15 --> 37 | cost [0.27]
16 -->  3 | cost [0.27]
17 --> 75 | cost [0.3]
18 --> 44 | cost [0.42]
19 -->  8 | cost [0.24]
20 -->  5 | cost [0.39]
22 --> 28 | cost [0.27]
24 -->  3 | cost [0.42]
25 --> 32 | cost [0.36]
26 --> 67 | cost [0.18]
27 --> 34 | cost [0.24]
30 -->  4 | cost [0.27]
31 --> 39 | cost [0.48]
33 -->  1 | cost [0.24]
40 --> 32 | cost [0.27]
41 -->  1 | cost [0.33]
42 -->  1 | cost [0.33]
48 --> 47 | cost [0.18]
50 --> 44 | cost [0.3]
51 --> 75 | cost [0.33]
52 --> 46 | cost [0.15]
54 --> 35 | cost [0.45]
55 --> 32 | cost [0.63]
56 --> 43 | cost [0.36]
57 --> 29 | cost [0.39]
58 --> 10 | cost [0.18]
59 --> 53 | cost [0.51]
60 --> 36 | cost [0.36]
61 --> 21 | cost [0.33]
64 -->  1 | cost [0.54]
65 --> 11 | cost [0.21]
66 --> 38 | cost [0.36]
68 -->  4 | cost [0.21]
69 --> 21 | cost [0.33]
70 --> 36 | cost [0.36]
71 --> 37 | cost [0.3]
74 --> 21 | cost [0.24]

B = 2.1100000000000003
i★ = 23
j★ = 43
k★ = 77

       
——————— Thu, 11 Jan 2024 05:37:30 ————————— seperate y_ij <= y_jj - x_ij on lazy constraints ————————— use blossom = false
ILP ——— 33 hubs —— 1—43—3—44—32—9—39—72—10—38—65—11—53—35—8—46—34—52—4—5—37—70—60—71—36—47—21—74—75—76—68—73—77
total time           3617.44 (TL 3600)    gap                  0.164                
blossom time         0                    nb blossom           0.0                  
LB <= UB             2448.91<=2927.99     subtour              1257.0               
connectivity cuts    0.0                  uc strategy          0                    
uc tolerance         0.01                 tildeV               2:76                 
2-opt strategy       0                                                              
explored_nodes       1124                 n lazycuts edges     0.0                  
F                    31.0                 post procedure       true                 
o_i                  0                                                                                                                                                  
Found solution
RING NODES
1—43—3—44—32—9—39—72—10—38—65—11—53—35—8—46—34—52—4—5—37—70—60—71—36—47—21—74—75—76—68—73—77

RING
1  --- 43 | cost [49.0]
3  --- 43 | cost [182.0]
3  --- 44 | cost [21.0]
4  ---  5 | cost [126.0]
4  --- 52 | cost [63.0]
5  --- 37 | cost [49.0]
8  --- 35 | cost [35.0]
8  --- 46 | cost [35.0]
9  --- 32 | cost [49.0]
9  --- 39 | cost [28.0]
10 --- 38 | cost [49.0]
10 --- 72 | cost [56.0]
11 --- 53 | cost [56.0]
11 --- 65 | cost [49.0]
21 --- 47 | cost [42.0]
21 --- 74 | cost [56.0]
32 --- 44 | cost [35.0]
34 --- 46 | cost [14.0]
34 --- 52 | cost [28.0]
35 --- 53 | cost [49.0]
36 --- 47 | cost [42.0]
36 --- 71 | cost [49.0]
37 --- 70 | cost [63.0]
38 --- 65 | cost [35.0]
39 --- 72 | cost [35.0]
60 --- 70 | cost [28.0]
60 --- 71 | cost [35.0]
68 --- 73 | cost [98.0]
68 --- 76 | cost [49.0]
73 --- 77 | cost [35.0]
74 --- 75 | cost [119.0]
75 --- 76 | cost [21.0]

STAR
2  --> 74 | cost [21.0]
6  --> 68 | cost [15.0]
7  --> 35 | cost [15.0]
12 --> 72 | cost [27.0]
13 --> 52 | cost [27.0]
14 --> 53 | cost [21.0]
15 -->  5 | cost [24.0]
16 -->  3 | cost [27.0]
17 --> 76 | cost [24.0]
18 --> 32 | cost [39.0]
19 --> 35 | cost [21.0]
20 --> 37 | cost [18.0]
22 -->  1 | cost [30.0]
23 -->  1 | cost [39.0]
24 --> 44 | cost [45.0]
25 -->  9 | cost [30.0]
26 --> 76 | cost [18.0]
27 --> 52 | cost [12.0]
28 --> 74 | cost [18.0]
29 -->  5 | cost [21.0]
30 --> 74 | cost [21.0]
31 --> 10 | cost [39.0]
33 --> 73 | cost [15.0]
40 --> 32 | cost [27.0]
41 --> 43 | cost [12.0]
42 --> 43 | cost [15.0]
45 -->  4 | cost [21.0]
48 --> 47 | cost [18.0]
49 -->  3 | cost [33.0]
50 --> 32 | cost [24.0]
51 -->  3 | cost [30.0]
54 --> 52 | cost [39.0]
55 -->  9 | cost [57.0]
56 --> 43 | cost [36.0]
57 -->  5 | cost [36.0]
58 --> 72 | cost [15.0]
59 --> 11 | cost [45.0]
61 --> 21 | cost [33.0]
62 --> 73 | cost [15.0]
63 -->  1 | cost [24.0]
64 --> 43 | cost [42.0]
66 --> 11 | cost [21.0]
67 --> 76 | cost [15.0]
69 --> 36 | cost [21.0]

BACKUP RING
1  ---  3 | cost [1.61]
3  --- 32 | cost [0.56]
4  --- 34 | cost [0.49]
4  --- 37 | cost [1.75]
5  --- 52 | cost [1.26]
5  --- 70 | cost [1.12]
8  --- 34 | cost [0.49]
8  --- 53 | cost [0.84]
9  --- 44 | cost [0.84]
9  --- 72 | cost [0.63]
10 --- 39 | cost [0.84]
10 --- 65 | cost [0.77]
11 --- 35 | cost [1.05]
11 --- 38 | cost [0.56]
21 --- 36 | cost [0.7000000000000001]
21 --- 75 | cost [1.68]
32 --- 39 | cost [0.77]
35 --- 46 | cost [0.63]
36 --- 60 | cost [0.84]
37 --- 60 | cost [0.84]
38 --- 72 | cost [0.91]
43 --- 44 | cost [2.0300000000000002]
46 --- 52 | cost [0.35000000000000003]
47 --- 71 | cost [0.91]
47 --- 74 | cost [0.77]
53 --- 65 | cost [0.98]
68 --- 75 | cost [0.28]
68 --- 77 | cost [1.33]
70 --- 71 | cost [0.56]
73 --- 76 | cost [1.47]
74 --- 76 | cost [1.4000000000000001]

BACKUP STAR
2  --> 68 | cost [0.21]
6  --> 75 | cost [0.24]
7  -->  8 | cost [0.21]
12 --> 39 | cost [0.3]
13 -->  8 | cost [0.36]
14 --> 35 | cost [0.3]
15 --> 37 | cost [0.27]
16 --> 44 | cost [0.36]
17 --> 75 | cost [0.3]
18 --> 44 | cost [0.42]
19 -->  8 | cost [0.24]
20 --> 70 | cost [0.18]
24 -->  3 | cost [0.42]
25 --> 32 | cost [0.36]
26 --> 75 | cost [0.27]
27 --> 34 | cost [0.24]
28 --> 21 | cost [0.27]
29 -->  4 | cost [0.33]
30 -->  4 | cost [0.27]
31 --> 39 | cost [0.48]
33 -->  1 | cost [0.24]
40 --> 44 | cost [0.27]
41 -->  1 | cost [0.33]
42 -->  1 | cost [0.33]
45 --> 52 | cost [0.27]
48 -->  5 | cost [0.21]
49 --> 44 | cost [0.39]
50 --> 44 | cost [0.3]
51 --> 68 | cost [0.33]
54 -->  8 | cost [0.39]
55 --> 32 | cost [0.63]
56 -->  1 | cost [0.48]
57 --> 37 | cost [0.39]
58 --> 10 | cost [0.18]
59 --> 53 | cost [0.51]
61 --> 74 | cost [0.45]
62 -->  1 | cost [0.24]
64 -->  1 | cost [0.54]
66 --> 65 | cost [0.21]
67 --> 34 | cost [0.15]
69 --> 71 | cost [0.27]

B = 3.29
i★ = 1
j★ = 43
k★ = 3

       
——————— Thu, 11 Jan 2024 06:38:25 ————————— seperate y_ij <= y_jj - x_ij on lazy constraints ————————— use blossom = false
BD  —— 33 hubs —— 1-73-62-28-21-47-36-37-15-29-45-4-75-76-67-34-46-8-35-53-11-38-10-72-39-9-32-44-3-49-23-43-77-1
total time           3604.43 (TL 3600)    gap                  0.035                
blossom time         0                    nb blossom           0.0                  
LB <= UB             2484.61<=2574.41     Master/SP costs      2509/65.41           
Master time          3598.51              SP time              5.92                 
subtour              41440.0              connectivity cuts    0.0                  
uc strategy          0                    uc tolerance         0.01                 
opt. cuts            74.0                 SP method            poly                 
tildeV               2:76                 inst transformation  2                    
2-opt strategy       0                                                              
explored nodes       32612                
F                    31.0                 
                                          o_i                  0                                                              
                                          
Found solution
RING NODES
1—73—62—28—21—47—36—37—15—29—45—4—75—76—67—34—46—8—35—53—11—38—10—72—39—9—32—44—3—49—23—43—77

RING
1  --- 73 | cost [35.0]
3  --- 44 | cost [21.0]
3  --- 49 | cost [77.0]
4  --- 45 | cost [49.0]
4  --- 75 | cost [35.0]
8  --- 35 | cost [35.0]
8  --- 46 | cost [35.0]
9  --- 32 | cost [49.0]
9  --- 39 | cost [28.0]
10 --- 38 | cost [49.0]
10 --- 72 | cost [56.0]
11 --- 38 | cost [56.0]
11 --- 53 | cost [56.0]
15 --- 29 | cost [70.0]
15 --- 37 | cost [63.0]
21 --- 28 | cost [63.0]
21 --- 47 | cost [42.0]
23 --- 43 | cost [70.0]
23 --- 49 | cost [70.0]
28 --- 62 | cost [42.0]
29 --- 45 | cost [28.0]
32 --- 44 | cost [35.0]
34 --- 46 | cost [14.0]
34 --- 67 | cost [35.0]
35 --- 53 | cost [49.0]
36 --- 37 | cost [56.0]
36 --- 47 | cost [42.0]
39 --- 72 | cost [35.0]
43 --- 77 | cost [49.0]
62 --- 73 | cost [35.0]
67 --- 76 | cost [35.0]
75 --- 76 | cost [21.0]

STAR
2  --> 62 | cost [24.0]
5  --> 47 | cost [21.0]
6  --> 75 | cost [24.0]
7  --> 35 | cost [15.0]
12 --> 72 | cost [27.0]
13 --> 15 | cost [33.0]
14 --> 53 | cost [21.0]
16 -->  3 | cost [27.0]
17 --> 76 | cost [24.0]
18 --> 32 | cost [39.0]
19 --> 35 | cost [21.0]
20 --> 37 | cost [18.0]
22 --> 62 | cost [24.0]
24 --> 49 | cost [21.0]
25 -->  9 | cost [30.0]
26 --> 67 | cost [18.0]
27 --> 45 | cost [18.0]
30 --> 45 | cost [24.0]
31 --> 10 | cost [39.0]
33 --> 73 | cost [15.0]
40 --> 32 | cost [27.0]
41 --> 43 | cost [12.0]
42 --> 43 | cost [15.0]
48 --> 29 | cost [18.0]
50 --> 32 | cost [24.0]
51 -->  3 | cost [30.0]
52 --> 34 | cost [12.0]
54 -->  8 | cost [39.0]
55 -->  9 | cost [57.0]
56 --> 23 | cost [18.0]
57 --> 15 | cost [12.0]
58 --> 72 | cost [15.0]
59 --> 11 | cost [45.0]
60 --> 36 | cost [36.0]
61 --> 28 | cost [30.0]
63 -->  1 | cost [24.0]
64 --> 43 | cost [42.0]
65 --> 38 | cost [15.0]
66 --> 11 | cost [21.0]
68 --> 75 | cost [12.0]
69 --> 36 | cost [21.0]
70 --> 37 | cost [27.0]
71 --> 36 | cost [21.0]
74 --> 28 | cost [18.0]

BACKUP RING
1  --- 62 | cost [0.56]
3  --- 23 | cost [1.4000000000000001]
3  --- 32 | cost [0.56]
4  --- 29 | cost [0.77]
4  --- 76 | cost [0.49]
8  --- 34 | cost [0.49]
8  --- 53 | cost [0.84]
9  --- 44 | cost [0.84]
9  --- 72 | cost [0.63]
10 --- 11 | cost [1.05]
10 --- 39 | cost [0.84]
11 --- 35 | cost [1.05]
15 --- 36 | cost [1.12]
15 --- 45 | cost [0.91]
21 --- 36 | cost [0.7000000000000001]
21 --- 62 | cost [1.12]
23 --- 77 | cost [0.91]
28 --- 47 | cost [1.05]
28 --- 73 | cost [0.77]
29 --- 37 | cost [0.98]
32 --- 39 | cost [0.77]
34 --- 76 | cost [0.7000000000000001]
35 --- 46 | cost [0.63]
37 --- 47 | cost [0.7000000000000001]
38 --- 53 | cost [0.84]
38 --- 72 | cost [0.91]
43 --- 49 | cost [1.33]
44 --- 49 | cost [0.91]
45 --- 75 | cost [0.84]
46 --- 67 | cost [0.42]
67 --- 75 | cost [0.49]

BACKUP STAR
2  --> 73 | cost [0.27]
5  --> 29 | cost [0.21]
6  --> 76 | cost [0.27]
7  -->  8 | cost [0.21]
12 --> 39 | cost [0.3]
13 -->  8 | cost [0.36]
14 --> 35 | cost [0.3]
16 --> 49 | cost [0.27]
17 --> 75 | cost [0.3]
18 --> 44 | cost [0.42]
19 -->  8 | cost [0.24]
20 --> 15 | cost [0.33]
22 --> 28 | cost [0.27]
24 -->  3 | cost [0.42]
25 --> 32 | cost [0.36]
26 --> 76 | cost [0.18]
27 --> 34 | cost [0.24]
30 -->  4 | cost [0.27]
31 --> 39 | cost [0.48]
33 -->  1 | cost [0.24]
40 --> 44 | cost [0.27]
41 -->  1 | cost [0.33]
42 -->  1 | cost [0.33]
48 --> 47 | cost [0.18]
50 --> 44 | cost [0.3]
51 --> 75 | cost [0.33]
52 --> 46 | cost [0.15]
54 --> 35 | cost [0.45]
55 --> 32 | cost [0.63]
56 --> 43 | cost [0.36]
57 --> 29 | cost [0.39]
58 --> 10 | cost [0.18]
59 --> 53 | cost [0.51]
60 --> 37 | cost [0.36]
61 --> 21 | cost [0.33]
64 -->  1 | cost [0.54]
65 --> 11 | cost [0.21]
66 --> 38 | cost [0.36]
68 -->  4 | cost [0.21]
69 --> 21 | cost [0.33]
70 --> 36 | cost [0.36]
71 --> 37 | cost [0.3]
74 --> 21 | cost [0.24]

B = 2.1100000000000003
i★ = 23
j★ = 43
k★ = 77