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

——————— Mon, 08 Jan 2024 20:42:48 ————————— seperate y_ij <= y_jj - x_ij on lazy constraints ————————— use blossom = false
ILP ——— 32 hubs —— 1—63—16—3—44—32—9—39—72—10—38—11—53—35—8—46—34—67—76—75—4—45—29—5—37—36—47—21—28—62—73—77
total time           3613.26 (TL 3600)    gap                  0.104                
blossom time         0                    nb blossom           0.0                  
LB <= UB             2548.02<=2843.93     subtour              85.0                 
connectivity cuts    960.0                uc strategy          4                    
uc tolerance         0.01                 tildeV               2:76                 
2-opt strategy       0                                                              
explored_nodes       1044                 n lazycuts edges     0.0                  
F                    183.0                post procedure       true                 
o_i                  0                                                                                                                                                  
Found solution
RING NODES
1—63—16—3—44—32—9—39—72—10—38—11—53—35—8—46—34—67—76—75—4—45—29—5—37—36—47—21—28—62—73—77

RING
1  --- 63 | cost [56.0]
3  --- 16 | cost [63.0]
3  --- 44 | cost [21.0]
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]
16 --- 63 | cost [42.0]
21 --- 28 | cost [63.0]
21 --- 47 | cost [42.0]
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]
62 --- 73 | cost [35.0]
67 --- 76 | cost [35.0]
73 --- 77 | 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]
17 --> 76 | cost [24.0]
18 --> 44 | cost [42.0]
19 --> 35 | cost [21.0]
20 --> 37 | cost [18.0]
22 --> 62 | cost [24.0]
23 --> 63 | cost [27.0]
24 -->  3 | cost [42.0]
25 --> 32 | cost [36.0]
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 -->  1 | cost [33.0]
42 -->  1 | cost [33.0]
43 -->  1 | cost [21.0]
48 --> 47 | cost [18.0]
49 --> 16 | cost [27.0]
50 --> 32 | cost [24.0]
51 --> 16 | cost [27.0]
52 --> 34 | cost [12.0]
54 -->  8 | cost [39.0]
55 -->  9 | cost [57.0]
56 -->  1 | cost [48.0]
57 -->  5 | cost [36.0]
58 --> 72 | cost [15.0]
59 --> 11 | cost [45.0]
60 --> 36 | cost [36.0]
61 --> 28 | cost [30.0]
64 -->  1 | cost [54.0]
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  --- 16 | cost [0.98]
3  --- 32 | cost [0.56]
3  --- 63 | cost [1.05]
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]
16 --- 44 | cost [0.84]
21 --- 36 | cost [0.7000000000000001]
21 --- 62 | cost [1.12]
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]
45 --- 75 | cost [0.84]
46 --- 67 | cost [0.42]
62 --- 77 | cost [0.56]
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]
17 --> 75 | cost [0.3]
18 --> 32 | cost [0.39]
19 -->  8 | cost [0.24]
20 -->  5 | cost [0.39]
22 --> 28 | cost [0.27]
23 -->  1 | cost [0.39]
24 --> 44 | cost [0.45]
25 -->  9 | cost [0.3]
26 --> 76 | cost [0.18]
27 --> 34 | cost [0.24]
30 -->  4 | cost [0.27]
31 --> 39 | cost [0.48]
33 --> 63 | cost [0.18]
40 --> 32 | cost [0.27]
48 --> 29 | cost [0.18]
49 -->  3 | cost [0.33]
50 --> 44 | cost [0.3]
51 -->  3 | cost [0.3]
52 --> 46 | cost [0.15]
54 --> 35 | cost [0.45]
55 --> 32 | cost [0.63]
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]
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 = 1.71
i★ = 38
j★ = 11
k★ = 53

       
——————— Mon, 08 Jan 2024 21:43:29 ————————— seperate y_ij <= y_jj - x_ij on lazy constraints ————————— use blossom = false
BD  —— 32 hubs —— 1-63-16-3-44-32-9-39-72-10-38-11-53-35-8-46-34-67-76-75-4-45-29-5-37-36-47-21-28-62-73-77-1
total time           3603.05 (TL 3600)    gap                  0.092                
blossom time         0                    nb blossom           0.0                  
LB <= UB             2582.26<=2843.93     Master/SP costs      2531/312.93          
Master time          3508.71              SP time              94.34                
subtour              2650.0               connectivity cuts    2000.0               
uc strategy          4                    uc tolerance         0.01                 
opt. cuts            3041.0               SP method            poly                 
tildeV               2:76                 inst transformation  2                    
2-opt strategy       0                                                              
explored nodes       212290               
F                    183.0                
                                          o_i                  0                                                              
                                          
Found solution
RING NODES
1—63—16—3—44—32—9—39—72—10—38—11—53—35—8—46—34—67—76—75—4—45—29—5—37—36—47—21—28—62—73—77

RING
1  --- 63 | cost [56.0]
3  --- 16 | cost [63.0]
3  --- 44 | cost [21.0]
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]
16 --- 63 | cost [42.0]
21 --- 28 | cost [63.0]
21 --- 47 | cost [42.0]
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]
62 --- 73 | cost [35.0]
67 --- 76 | cost [35.0]
73 --- 77 | 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]
17 --> 76 | cost [24.0]
18 --> 44 | cost [42.0]
19 --> 35 | cost [21.0]
20 --> 37 | cost [18.0]
22 --> 62 | cost [24.0]
23 --> 63 | cost [27.0]
24 -->  3 | cost [42.0]
25 --> 32 | cost [36.0]
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 -->  1 | cost [33.0]
42 -->  1 | cost [33.0]
43 -->  1 | cost [21.0]
48 --> 29 | cost [18.0]
49 --> 16 | cost [27.0]
50 --> 32 | cost [24.0]
51 --> 16 | cost [27.0]
52 --> 34 | cost [12.0]
54 -->  8 | cost [39.0]
55 -->  9 | cost [57.0]
56 -->  1 | cost [48.0]
57 -->  5 | cost [36.0]
58 --> 72 | cost [15.0]
59 --> 11 | cost [45.0]
60 --> 36 | cost [36.0]
61 --> 28 | cost [30.0]
64 -->  1 | cost [54.0]
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  --- 16 | cost [0.98]
3  --- 32 | cost [0.56]
3  --- 63 | cost [1.05]
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]
16 --- 44 | cost [0.84]
21 --- 36 | cost [0.7000000000000001]
21 --- 62 | cost [1.12]
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]
45 --- 75 | cost [0.84]
46 --- 67 | cost [0.42]
62 --- 77 | cost [0.56]
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]
17 --> 75 | cost [0.3]
18 --> 32 | cost [0.39]
19 -->  8 | cost [0.24]
20 -->  5 | cost [0.39]
22 --> 28 | cost [0.27]
23 -->  1 | cost [0.39]
24 --> 44 | cost [0.45]
25 -->  9 | cost [0.3]
26 --> 76 | cost [0.18]
27 --> 34 | cost [0.24]
30 -->  4 | cost [0.27]
31 --> 39 | cost [0.48]
33 --> 63 | cost [0.18]
40 --> 32 | cost [0.27]
48 --> 47 | cost [0.18]
49 -->  3 | cost [0.33]
50 --> 44 | cost [0.3]
51 -->  3 | cost [0.3]
52 --> 46 | cost [0.15]
54 --> 35 | cost [0.45]
55 --> 32 | cost [0.63]
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]
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 = 1.71
i★ = 38
j★ = 11
k★ = 53

       
——————— Fri, 12 Jan 2024 09:00:05 ————————— seperate y_ij <= y_jj - x_ij on lazy constraints ————————— use blossom = false
ILP ——— 32 hubs —— 1—63—16—3—44—32—9—39—72—10—38—11—53—35—8—46—34—67—76—68—4—45—29—15—37—36—47—21—28—62—73—77
total time           3617.65 (TL 3600)    gap                  0.137                
blossom time         0                    nb blossom           0.0                  
LB <= UB             2496.23<=2891.23     subtour              547.0                
connectivity cuts    0.0                  uc strategy          0                    
uc tolerance         0.01                 tildeV               2:76                 
2-opt strategy       0                                                              
explored_nodes       1095                 n lazycuts edges     0.0                  
F                    183.0                post procedure       true                 
o_i                  0                                                                                                                                                  
Found solution
RING NODES
1—63—16—3—44—32—9—39—72—10—38—11—53—35—8—46—34—67—76—68—4—45—29—15—37—36—47—21—28—62—73—77

RING
1  --- 63 | cost [56.0]
3  --- 16 | cost [63.0]
3  --- 44 | cost [21.0]
4  --- 45 | cost [49.0]
4  --- 68 | 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]
15 --- 29 | cost [70.0]
15 --- 37 | cost [63.0]
16 --- 63 | cost [42.0]
21 --- 28 | cost [63.0]
21 --- 47 | cost [42.0]
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]
62 --- 73 | cost [35.0]
67 --- 76 | cost [35.0]
68 --- 76 | cost [49.0]
73 --- 77 | cost [35.0]

STAR
2  --> 68 | cost [21.0]
5  --> 47 | cost [21.0]
6  --> 68 | cost [15.0]
7  --> 35 | cost [15.0]
12 --> 72 | cost [27.0]
13 --> 15 | cost [33.0]
14 --> 53 | cost [21.0]
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]
23 --> 63 | cost [27.0]
24 -->  3 | cost [42.0]
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 -->  1 | cost [33.0]
42 -->  1 | cost [33.0]
43 -->  1 | cost [21.0]
48 --> 47 | cost [18.0]
49 --> 16 | cost [27.0]
50 --> 32 | cost [24.0]
51 --> 16 | cost [27.0]
52 --> 34 | cost [12.0]
54 -->  8 | cost [39.0]
55 -->  9 | cost [57.0]
56 -->  1 | cost [48.0]
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]
64 -->  1 | cost [54.0]
65 --> 38 | cost [15.0]
66 --> 11 | cost [21.0]
69 --> 36 | cost [21.0]
70 --> 37 | cost [27.0]
71 --> 36 | cost [21.0]
74 --> 21 | cost [24.0]
75 --> 76 | cost [9.0]

BACKUP RING
1  --- 16 | cost [0.98]
3  --- 32 | cost [0.56]
3  --- 63 | cost [1.05]
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]
16 --- 44 | cost [0.84]
21 --- 36 | cost [0.7000000000000001]
21 --- 62 | cost [1.12]
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]
45 --- 68 | cost [0.84]
46 --- 67 | cost [0.42]
62 --- 77 | cost [0.56]
67 --- 68 | cost [0.77]

BACKUP STAR
2  --> 62 | cost [0.24]
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]
17 -->  3 | cost [0.36]
18 --> 44 | cost [0.42]
19 -->  8 | cost [0.24]
20 --> 15 | cost [0.33]
22 --> 28 | cost [0.27]
23 -->  1 | cost [0.39]
24 --> 44 | cost [0.45]
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 --> 63 | cost [0.18]
40 --> 32 | cost [0.27]
48 --> 29 | cost [0.18]
49 -->  3 | cost [0.33]
50 --> 44 | cost [0.3]
51 -->  3 | cost [0.3]
52 --> 46 | cost [0.15]
54 --> 35 | cost [0.45]
55 --> 32 | cost [0.63]
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]
65 --> 11 | cost [0.21]
66 --> 38 | cost [0.36]
69 --> 21 | cost [0.33]
70 --> 36 | cost [0.36]
71 --> 37 | cost [0.3]
74 --> 28 | cost [0.18]
75 --> 68 | cost [0.12]

B = 1.81
i★ = 15
j★ = 37
k★ = 36

       
——————— Fri, 12 Jan 2024 10:01:00 ————————— seperate y_ij <= y_jj - x_ij on lazy constraints ————————— use blossom = false
BD  —— 37 hubs —— 1-43-41-23-63-49-3-44-50-25-9-39-72-10-38-65-11-53-35-8-46-34-67-76-75-4-45-29-5-37-36-47-21-28-62-73-77-1
total time           3605.56 (TL 3600)    gap                  0.149                
blossom time         0                    nb blossom           0.0                  
LB <= UB             2467.68<=2899.27     Master/SP costs      2590/309.27          
Master time          3594.68              SP time              10.88                
subtour              37167.0              connectivity cuts    0.0                  
uc strategy          0                    uc tolerance         0.01                 
opt. cuts            114.0                SP method            poly                 
tildeV               2:76                 inst transformation  2                    
2-opt strategy       0                                                              
explored nodes       18729                
F                    183.0                
                                          o_i                  0                                                              
                                          
Found solution
RING NODES
1—43—41—23—63—49—3—44—50—25—9—39—72—10—38—65—11—53—35—8—46—34—67—76—75—4—45—29—5—37—36—47—21—28—62—73—77

RING
1  --- 43 | cost [49.0]
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  --- 25 | cost [70.0]
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 --- 28 | cost [63.0]
21 --- 47 | cost [42.0]
23 --- 41 | cost [77.0]
23 --- 63 | cost [63.0]
25 --- 50 | cost [56.0]
28 --- 62 | cost [42.0]
29 --- 45 | cost [28.0]
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]
38 --- 65 | cost [35.0]
39 --- 72 | cost [35.0]
41 --- 43 | cost [28.0]
44 --- 50 | cost [70.0]
49 --- 63 | cost [77.0]
62 --- 73 | cost [35.0]
67 --- 76 | cost [35.0]
73 --- 77 | 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 --> 63 | cost [18.0]
17 --> 76 | cost [24.0]
18 --> 50 | cost [18.0]
19 --> 35 | cost [21.0]
20 --> 37 | cost [18.0]
22 --> 62 | cost [24.0]
24 --> 49 | cost [21.0]
26 --> 76 | cost [18.0]
27 --> 45 | cost [18.0]
30 --> 45 | cost [24.0]
31 --> 10 | cost [39.0]
32 --> 44 | cost [15.0]
33 --> 73 | cost [15.0]
40 --> 44 | cost [27.0]
42 --> 41 | cost [12.0]
48 --> 47 | cost [18.0]
51 -->  3 | cost [30.0]
52 --> 34 | cost [12.0]
54 -->  8 | cost [39.0]
55 --> 25 | cost [27.0]
56 --> 23 | cost [18.0]
57 -->  5 | cost [36.0]
58 --> 72 | cost [15.0]
59 --> 11 | cost [45.0]
60 --> 36 | cost [36.0]
61 --> 28 | cost [30.0]
64 --> 41 | cost [36.0]
66 --> 65 | 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  --- 41 | cost [0.77]
3  --- 50 | cost [0.91]
3  --- 63 | cost [1.05]
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  --- 50 | cost [0.77]
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 --- 62 | cost [1.12]
23 --- 43 | cost [0.7000000000000001]
23 --- 49 | cost [0.7000000000000001]
25 --- 39 | cost [0.98]
25 --- 44 | cost [1.12]
28 --- 47 | cost [1.05]
28 --- 73 | cost [0.77]
29 --- 37 | cost [0.98]
34 --- 76 | cost [0.7000000000000001]
35 --- 46 | cost [0.63]
37 --- 47 | cost [0.7000000000000001]
38 --- 72 | cost [0.91]
41 --- 63 | cost [1.05]
44 --- 49 | cost [0.91]
45 --- 75 | cost [0.84]
46 --- 67 | cost [0.42]
53 --- 65 | cost [0.98]
62 --- 77 | cost [0.56]
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 --> 25 | cost [0.33]
19 -->  8 | cost [0.24]
20 -->  5 | cost [0.39]
22 --> 28 | cost [0.27]
24 -->  3 | cost [0.42]
26 --> 67 | cost [0.18]
27 --> 34 | cost [0.24]
30 -->  4 | cost [0.27]
31 --> 39 | cost [0.48]
32 -->  9 | cost [0.21]
33 --> 63 | cost [0.18]
40 -->  3 | cost [0.3]
42 --> 43 | cost [0.15]
48 --> 29 | cost [0.18]
51 --> 75 | cost [0.33]
52 --> 46 | cost [0.15]
54 --> 35 | cost [0.45]
55 --> 50 | cost [0.45]
56 --> 41 | cost [0.3]
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 --> 43 | cost [0.42]
66 --> 11 | cost [0.21]
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 = 1.6900000000000002
i★ = 21
j★ = 28
k★ = 62