------------------------------------------------------------
                           α=5.0 —— eil76 —— 76 nodes       
------------------------------------------------------------

——————— Mon, 08 Jan 2024 12:29:23 ————————— seperate y_ij <= y_jj - x_ij on lazy constraints ————————— use blossom = false
ILP ——— 62 hubs —— 1—43—42—41—56—23—49—16—3—44—32—50—25—9—39—72—58—10—38—65—66—11—53—14—19—35—8—46—34—52—27—13—57—15—5—37—20—70—60—71—36—47—48—29—45—4—75—76—67—26—12—40—17—51—6—68—2—74—28—62—73—77
total time           423.97               gap                  0.0                  
blossom time         0                    nb blossom           0.0                  
LB <= UB             2501.7<=2501.85      subtour              110.0                
connectivity cuts    48.0                 uc strategy          4                    
uc tolerance         0.01                 tildeV               2:76                 
2-opt strategy       0                                                              
explored_nodes       74                   n lazycuts edges     0.0                  
F                    31.0                 post procedure       true                 
o_i                  0                                                                                                                                                  
Found solution
RING NODES
1—43—42—41—56—23—49—16—3—44—32—50—25—9—39—72—58—10—38—65—66—11—53—14—19—35—8—46—34—52—27—13—57—15—5—37—20—70—60—71—36—47—48—29—45—4—75—76—67—26—12—40—17—51—6—68—2—74—28—62—73—77

RING
1  --- 43 | cost [35.0]
1  --- 77 | cost [0.0]
2  --- 68 | cost [35.0]
2  --- 74 | cost [35.0]
3  --- 16 | cost [45.0]
3  --- 44 | cost [15.0]
4  --- 45 | cost [35.0]
4  --- 75 | cost [25.0]
5  --- 15 | cost [40.0]
5  --- 37 | cost [35.0]
6  --- 51 | cost [30.0]
6  --- 68 | cost [25.0]
8  --- 35 | cost [25.0]
8  --- 46 | cost [25.0]
9  --- 25 | cost [50.0]
9  --- 39 | cost [20.0]
10 --- 38 | cost [35.0]
10 --- 58 | cost [30.0]
11 --- 53 | cost [40.0]
11 --- 66 | cost [35.0]
12 --- 26 | cost [40.0]
12 --- 40 | cost [25.0]
13 --- 27 | cost [35.0]
13 --- 57 | cost [45.0]
14 --- 19 | cost [45.0]
14 --- 53 | cost [35.0]
15 --- 57 | cost [20.0]
16 --- 49 | cost [45.0]
17 --- 40 | cost [35.0]
17 --- 51 | cost [30.0]
19 --- 35 | cost [35.0]
20 --- 37 | cost [30.0]
20 --- 70 | cost [30.0]
23 --- 49 | cost [50.0]
23 --- 56 | cost [30.0]
25 --- 50 | cost [40.0]
26 --- 67 | cost [30.0]
27 --- 52 | cost [20.0]
28 --- 62 | cost [30.0]
28 --- 74 | cost [30.0]
29 --- 45 | cost [20.0]
29 --- 48 | cost [30.0]
32 --- 44 | cost [25.0]
32 --- 50 | cost [40.0]
34 --- 46 | cost [10.0]
34 --- 52 | cost [20.0]
36 --- 47 | cost [30.0]
36 --- 71 | cost [35.0]
38 --- 65 | cost [25.0]
39 --- 72 | cost [25.0]
41 --- 42 | cost [20.0]
41 --- 56 | cost [50.0]
42 --- 43 | cost [25.0]
47 --- 48 | cost [30.0]
58 --- 72 | cost [25.0]
60 --- 70 | cost [20.0]
60 --- 71 | cost [25.0]
62 --- 73 | cost [25.0]
65 --- 66 | cost [35.0]
67 --- 76 | cost [25.0]
73 --- 77 | cost [25.0]
75 --- 76 | cost [15.0]

STAR
7  --> 35 | cost [25.0]
18 --> 50 | cost [30.0]
21 --> 47 | cost [30.0]
22 --> 62 | cost [40.0]
24 --> 49 | cost [35.0]
30 --> 48 | cost [35.0]
31 --> 10 | cost [65.0]
33 --> 73 | cost [25.0]
54 --> 13 | cost [40.0]
55 --> 25 | cost [45.0]
59 --> 14 | cost [55.0]
61 --> 28 | cost [50.0]
63 --> 16 | cost [30.0]
64 --> 42 | cost [45.0]
69 --> 36 | cost [35.0]

BACKUP RING
1  --- 42 | cost [0.55]
2  ---  6 | cost [0.45]
2  --- 28 | cost [0.5]
3  --- 32 | cost [0.4]
3  --- 49 | cost [0.55]
4  --- 29 | cost [0.55]
4  --- 76 | cost [0.35000000000000003]
5  --- 20 | cost [0.65]
5  --- 57 | cost [0.6]
6  --- 17 | cost [0.5]
8  --- 19 | cost [0.4]
8  --- 34 | cost [0.35000000000000003]
9  --- 50 | cost [0.55]
9  --- 72 | cost [0.45]
10 --- 65 | cost [0.55]
10 --- 72 | cost [0.4]
11 --- 14 | cost [0.55]
11 --- 65 | cost [0.35000000000000003]
12 --- 17 | cost [0.35000000000000003]
12 --- 67 | cost [0.65]
13 --- 15 | cost [0.55]
13 --- 52 | cost [0.45]
14 --- 35 | cost [0.5]
15 --- 37 | cost [0.45]
16 --- 23 | cost [0.65]
16 --- 44 | cost [0.6]
19 --- 53 | cost [0.55]
20 --- 60 | cost [0.5]
23 --- 41 | cost [0.55]
25 --- 32 | cost [0.6]
25 --- 39 | cost [0.7000000000000001]
26 --- 40 | cost [0.6]
26 --- 76 | cost [0.3]
27 --- 34 | cost [0.4]
27 --- 57 | cost [0.6]
28 --- 73 | cost [0.55]
29 --- 47 | cost [0.55]
35 --- 46 | cost [0.45]
36 --- 48 | cost [0.65]
36 --- 60 | cost [0.6]
37 --- 70 | cost [0.45]
38 --- 58 | cost [0.45]
38 --- 66 | cost [0.6]
39 --- 58 | cost [0.5]
40 --- 51 | cost [0.55]
41 --- 43 | cost [0.2]
42 --- 56 | cost [0.7000000000000001]
44 --- 50 | cost [0.5]
45 --- 48 | cost [0.45]
45 --- 75 | cost [0.6]
46 --- 52 | cost [0.25]
47 --- 71 | cost [0.65]
49 --- 56 | cost [0.7000000000000001]
51 --- 68 | cost [0.55]
53 --- 66 | cost [0.75]
62 --- 74 | cost [0.5]
62 --- 77 | cost [0.4]
67 --- 75 | cost [0.35000000000000003]
68 --- 74 | cost [0.65]
70 --- 71 | cost [0.4]

BACKUP STAR
7  -->  8 | cost [0.35000000000000003]
18 --> 25 | cost [0.55]
21 --> 74 | cost [0.4]
22 --> 28 | cost [0.45]
24 -->  3 | cost [0.7000000000000001]
30 -->  2 | cost [0.35000000000000003]
31 --> 39 | cost [0.8]
33 -->  1 | cost [0.4]
54 --> 19 | cost [0.45]
55 --> 50 | cost [0.75]
59 --> 11 | cost [0.75]
61 --> 62 | cost [0.75]
63 -->  1 | cost [0.4]
64 --> 41 | cost [0.6]
69 --> 71 | cost [0.45]

B = 1.35
i★ = 16
j★ = 49
k★ = 23

       
——————— Mon, 08 Jan 2024 12:30:19 ————————— seperate y_ij <= y_jj - x_ij on lazy constraints ————————— use blossom = false
BD  —— 59 hubs —— 1-73-62-28-74-2-30-45-29-48-47-36-71-60-70-20-37-5-15-57-13-27-52-34-46-8-35-19-14-53-11-65-38-10-58-72-39-9-25-50-32-44-40-12-26-67-76-75-68-6-51-16-49-23-56-41-42-43-77-1
total time           19.98                gap                  0.0                  
blossom time         0                    nb blossom           0.0                  
LB <= UB             2503.37<=2503.4      Master/SP costs      2460/43.4            
Master time          18.86                SP time              1.13                 
subtour              562.0                connectivity cuts    725.0                
uc strategy          4                    uc tolerance         0.01                 
opt. cuts            19.0                 SP method            poly                 
tildeV               2:76                 inst transformation  2                    
2-opt strategy       0                                                              
explored nodes       1093                 
F                    31.0                 
                                          o_i                  0                                                              
                                          
Found solution
RING NODES
1—73—62—28—74—2—30—45—29—48—47—36—71—60—70—20—37—5—15—57—13—27—52—34—46—8—35—19—14—53—11—65—38—10—58—72—39—9—25—50—32—44—40—12—26—67—76—75—68—6—51—16—49—23—56—41—42—43—77

RING
1  --- 73 | cost [25.0]
1  --- 77 | cost [0.0]
2  --- 30 | cost [35.0]
2  --- 74 | cost [35.0]
5  --- 15 | cost [40.0]
5  --- 37 | cost [35.0]
6  --- 51 | cost [30.0]
6  --- 68 | cost [25.0]
8  --- 35 | cost [25.0]
8  --- 46 | cost [25.0]
9  --- 25 | cost [50.0]
9  --- 39 | cost [20.0]
10 --- 38 | cost [35.0]
10 --- 58 | cost [30.0]
11 --- 53 | cost [40.0]
11 --- 65 | cost [35.0]
12 --- 26 | cost [40.0]
12 --- 40 | cost [25.0]
13 --- 27 | cost [35.0]
13 --- 57 | cost [45.0]
14 --- 19 | cost [45.0]
14 --- 53 | cost [35.0]
15 --- 57 | cost [20.0]
16 --- 49 | cost [45.0]
16 --- 51 | cost [45.0]
19 --- 35 | cost [35.0]
20 --- 37 | cost [30.0]
20 --- 70 | cost [30.0]
23 --- 49 | cost [50.0]
23 --- 56 | cost [30.0]
25 --- 50 | cost [40.0]
26 --- 67 | cost [30.0]
27 --- 52 | cost [20.0]
28 --- 62 | cost [30.0]
28 --- 74 | cost [30.0]
29 --- 45 | cost [20.0]
29 --- 48 | cost [30.0]
30 --- 45 | cost [40.0]
32 --- 44 | cost [25.0]
32 --- 50 | cost [40.0]
34 --- 46 | cost [10.0]
34 --- 52 | cost [20.0]
36 --- 47 | cost [30.0]
36 --- 71 | cost [35.0]
38 --- 65 | cost [25.0]
39 --- 72 | cost [25.0]
40 --- 44 | cost [45.0]
41 --- 42 | cost [20.0]
41 --- 56 | cost [50.0]
42 --- 43 | cost [25.0]
43 --- 77 | cost [35.0]
47 --- 48 | cost [30.0]
58 --- 72 | cost [25.0]
60 --- 70 | cost [20.0]
60 --- 71 | cost [25.0]
62 --- 73 | cost [25.0]
67 --- 76 | cost [25.0]
68 --- 75 | cost [20.0]
75 --- 76 | cost [15.0]

STAR
3  --> 44 | cost [15.0]
4  --> 75 | cost [25.0]
7  --> 35 | cost [25.0]
17 --> 51 | cost [30.0]
18 --> 50 | cost [30.0]
21 --> 47 | cost [30.0]
22 --> 62 | cost [40.0]
24 --> 49 | cost [35.0]
31 --> 10 | cost [65.0]
33 --> 73 | cost [25.0]
54 --> 13 | cost [40.0]
55 --> 25 | cost [45.0]
59 --> 14 | cost [55.0]
61 --> 28 | cost [50.0]
63 --> 16 | cost [30.0]
64 --> 42 | cost [45.0]
66 --> 11 | cost [35.0]
69 --> 36 | cost [35.0]

BACKUP RING
1  --- 62 | cost [0.4]
2  --- 28 | cost [0.5]
2  --- 45 | cost [0.75]
5  --- 20 | cost [0.65]
5  --- 57 | cost [0.6]
6  --- 16 | cost [0.6]
6  --- 75 | cost [0.4]
8  --- 19 | cost [0.4]
8  --- 34 | cost [0.35000000000000003]
9  --- 50 | cost [0.55]
9  --- 72 | cost [0.45]
10 --- 65 | cost [0.55]
10 --- 72 | cost [0.4]
11 --- 14 | cost [0.55]
11 --- 38 | cost [0.4]
12 --- 44 | cost [0.7000000000000001]
12 --- 67 | cost [0.65]
13 --- 15 | cost [0.55]
13 --- 52 | cost [0.45]
14 --- 35 | cost [0.5]
15 --- 37 | cost [0.45]
16 --- 23 | cost [0.65]
19 --- 53 | cost [0.55]
20 --- 60 | cost [0.5]
23 --- 41 | cost [0.55]
25 --- 32 | cost [0.6]
25 --- 39 | cost [0.7000000000000001]
26 --- 40 | cost [0.6]
26 --- 76 | cost [0.3]
27 --- 34 | cost [0.4]
27 --- 57 | cost [0.6]
28 --- 73 | cost [0.55]
29 --- 30 | cost [0.45]
29 --- 47 | cost [0.55]
30 --- 74 | cost [0.35000000000000003]
32 --- 40 | cost [0.45]
35 --- 46 | cost [0.45]
36 --- 48 | cost [0.65]
36 --- 60 | cost [0.6]
37 --- 70 | cost [0.45]
38 --- 58 | cost [0.45]
39 --- 58 | cost [0.5]
41 --- 43 | cost [0.2]
42 --- 56 | cost [0.7000000000000001]
42 --- 77 | cost [0.55]
44 --- 50 | cost [0.5]
45 --- 48 | cost [0.45]
46 --- 52 | cost [0.25]
47 --- 71 | cost [0.65]
49 --- 51 | cost [0.85]
49 --- 56 | cost [0.7000000000000001]
51 --- 68 | cost [0.55]
53 --- 65 | cost [0.7000000000000001]
62 --- 74 | cost [0.5]
67 --- 75 | cost [0.35000000000000003]
68 --- 76 | cost [0.35000000000000003]
70 --- 71 | cost [0.4]

BACKUP STAR
3  --> 32 | cost [0.4]
4  --> 34 | cost [0.35000000000000003]
7  -->  8 | cost [0.35000000000000003]
17 --> 12 | cost [0.35000000000000003]
18 --> 25 | cost [0.55]
21 --> 74 | cost [0.4]
22 --> 28 | cost [0.45]
24 --> 44 | cost [0.75]
31 --> 39 | cost [0.8]
33 -->  1 | cost [0.4]
54 --> 19 | cost [0.45]
55 --> 50 | cost [0.75]
59 --> 11 | cost [0.75]
61 --> 62 | cost [0.75]
63 -->  1 | cost [0.4]
64 --> 41 | cost [0.6]
66 --> 65 | cost [0.35000000000000003]
69 --> 71 | cost [0.45]

B = 1.4
i★ = 16
j★ = 49
k★ = 23

       
——————— Thu, 11 Jan 2024 04:35:27 ————————— seperate y_ij <= y_jj - x_ij on lazy constraints ————————— use blossom = false
ILP ——— 62 hubs —— 1—73—62—28—74—30—2—68—6—51—17—40—12—26—76—75—4—45—29—48—47—36—71—60—70—20—37—5—15—57—13—27—52—34—46—8—35—19—14—53—11—66—65—38—10—58—72—39—9—25—50—32—44—3—16—49—23—56—41—42—43—77
total time           870.41               gap                  0.0                  
blossom time         0                    nb blossom           0.0                  
LB <= UB             2501.85<=2501.85     subtour              703.0                
connectivity cuts    0.0                  uc strategy          0                    
uc tolerance         0.01                 tildeV               2:76                 
2-opt strategy       0                                                              
explored_nodes       224                  n lazycuts edges     1.0                  
F                    31.0                 post procedure       true                 
o_i                  0                                                                                                                                                  
Found solution
RING NODES
1—73—62—28—74—30—2—68—6—51—17—40—12—26—76—75—4—45—29—48—47—36—71—60—70—20—37—5—15—57—13—27—52—34—46—8—35—19—14—53—11—66—65—38—10—58—72—39—9—25—50—32—44—3—16—49—23—56—41—42—43—77

RING
1  --- 73 | cost [25.0]
2  --- 30 | cost [35.0]
2  --- 68 | cost [35.0]
3  --- 16 | cost [45.0]
3  --- 44 | cost [15.0]
4  --- 45 | cost [35.0]
4  --- 75 | cost [25.0]
5  --- 15 | cost [40.0]
5  --- 37 | cost [35.0]
6  --- 51 | cost [30.0]
6  --- 68 | cost [25.0]
8  --- 35 | cost [25.0]
8  --- 46 | cost [25.0]
9  --- 25 | cost [50.0]
9  --- 39 | cost [20.0]
10 --- 38 | cost [35.0]
10 --- 58 | cost [30.0]
11 --- 53 | cost [40.0]
11 --- 66 | cost [35.0]
12 --- 26 | cost [40.0]
12 --- 40 | cost [25.0]
13 --- 27 | cost [35.0]
13 --- 57 | cost [45.0]
14 --- 19 | cost [45.0]
14 --- 53 | cost [35.0]
15 --- 57 | cost [20.0]
16 --- 49 | cost [45.0]
17 --- 40 | cost [35.0]
17 --- 51 | cost [30.0]
19 --- 35 | cost [35.0]
20 --- 37 | cost [30.0]
20 --- 70 | cost [30.0]
23 --- 49 | cost [50.0]
23 --- 56 | cost [30.0]
25 --- 50 | cost [40.0]
26 --- 76 | cost [30.0]
27 --- 52 | cost [20.0]
28 --- 62 | cost [30.0]
28 --- 74 | cost [30.0]
29 --- 45 | cost [20.0]
29 --- 48 | cost [30.0]
30 --- 74 | cost [35.0]
32 --- 44 | cost [25.0]
32 --- 50 | cost [40.0]
34 --- 46 | cost [10.0]
34 --- 52 | cost [20.0]
36 --- 47 | cost [30.0]
36 --- 71 | cost [35.0]
38 --- 65 | cost [25.0]
39 --- 72 | cost [25.0]
41 --- 42 | cost [20.0]
41 --- 56 | cost [50.0]
42 --- 43 | cost [25.0]
43 --- 77 | cost [35.0]
47 --- 48 | cost [30.0]
58 --- 72 | cost [25.0]
60 --- 70 | cost [20.0]
60 --- 71 | cost [25.0]
62 --- 73 | cost [25.0]
65 --- 66 | cost [35.0]
75 --- 76 | cost [15.0]

STAR
7  --> 35 | cost [25.0]
18 --> 50 | cost [30.0]
21 --> 47 | cost [30.0]
22 --> 62 | cost [40.0]
24 --> 49 | cost [35.0]
31 --> 10 | cost [65.0]
33 --> 73 | cost [25.0]
54 --> 13 | cost [40.0]
55 --> 25 | cost [45.0]
59 --> 14 | cost [55.0]
61 --> 28 | cost [50.0]
63 --> 16 | cost [30.0]
64 --> 42 | cost [45.0]
67 --> 34 | cost [25.0]
69 --> 36 | cost [35.0]

BACKUP RING
1  --- 62 | cost [0.4]
2  ---  6 | cost [0.45]
2  --- 74 | cost [0.35000000000000003]
3  --- 32 | cost [0.4]
3  --- 49 | cost [0.55]
4  --- 29 | cost [0.55]
4  --- 76 | cost [0.35000000000000003]
5  --- 20 | cost [0.65]
5  --- 57 | cost [0.6]
6  --- 17 | cost [0.5]
8  --- 19 | cost [0.4]
8  --- 34 | cost [0.35000000000000003]
9  --- 50 | cost [0.55]
9  --- 72 | cost [0.45]
10 --- 65 | cost [0.55]
10 --- 72 | cost [0.4]
11 --- 14 | cost [0.55]
11 --- 65 | cost [0.35000000000000003]
12 --- 17 | cost [0.35000000000000003]
12 --- 76 | cost [0.6]
13 --- 15 | cost [0.55]
13 --- 52 | cost [0.45]
14 --- 35 | cost [0.5]
15 --- 37 | cost [0.45]
16 --- 23 | cost [0.65]
16 --- 44 | cost [0.6]
19 --- 53 | cost [0.55]
20 --- 60 | cost [0.5]
23 --- 41 | cost [0.55]
25 --- 32 | cost [0.6]
25 --- 39 | cost [0.7000000000000001]
26 --- 40 | cost [0.6]
26 --- 75 | cost [0.45]
27 --- 34 | cost [0.4]
27 --- 57 | cost [0.6]
28 --- 30 | cost [0.65]
28 --- 73 | cost [0.55]
29 --- 47 | cost [0.55]
30 --- 68 | cost [0.45]
35 --- 46 | cost [0.45]
36 --- 48 | cost [0.65]
36 --- 60 | cost [0.6]
37 --- 70 | cost [0.45]
38 --- 58 | cost [0.45]
38 --- 66 | cost [0.6]
39 --- 58 | cost [0.5]
40 --- 51 | cost [0.55]
41 --- 43 | cost [0.2]
42 --- 56 | cost [0.7000000000000001]
42 --- 77 | cost [0.55]
44 --- 50 | cost [0.5]
45 --- 48 | cost [0.45]
45 --- 75 | cost [0.6]
46 --- 52 | cost [0.25]
47 --- 71 | cost [0.65]
49 --- 56 | cost [0.7000000000000001]
51 --- 68 | cost [0.55]
53 --- 66 | cost [0.75]
62 --- 74 | cost [0.5]
70 --- 71 | cost [0.4]

BACKUP STAR
7  -->  8 | cost [0.35000000000000003]
18 --> 25 | cost [0.55]
21 --> 74 | cost [0.4]
22 --> 28 | cost [0.45]
24 -->  3 | cost [0.7000000000000001]
31 --> 39 | cost [0.8]
33 -->  1 | cost [0.4]
54 --> 19 | cost [0.45]
55 --> 50 | cost [0.75]
59 --> 11 | cost [0.75]
61 --> 62 | cost [0.75]
63 -->  1 | cost [0.4]
64 --> 41 | cost [0.6]
67 --> 76 | cost [0.25]
69 --> 71 | cost [0.45]

B = 1.35
i★ = 16
j★ = 49
k★ = 23

       
——————— Thu, 11 Jan 2024 04:36:43 ————————— seperate y_ij <= y_jj - x_ij on lazy constraints ————————— use blossom = false
BD  —— 61 hubs —— 1-73-62-28-74-2-68-6-51-17-12-26-67-76-75-4-45-29-48-47-36-71-60-70-20-37-5-15-57-13-27-52-34-46-8-35-19-14-53-11-66-65-38-10-58-72-39-9-25-50-32-44-3-16-49-23-56-41-42-43-77-1
total time           21.02                gap                  0.0                  
blossom time         0                    nb blossom           0.0                  
LB <= UB             2503.4<=2503.4       Master/SP costs      2461.55/41.85        
Master time          18.83                SP time              2.2                  
subtour              1905.0               connectivity cuts    0.0                  
uc strategy          0                    uc tolerance         0.01                 
opt. cuts            16.0                 SP method            poly                 
tildeV               2:76                 inst transformation  2                    
2-opt strategy       0                                                              
explored nodes       1640                 
F                    31.0                 
                                          o_i                  0                                                              
                                          
Found solution
RING NODES
1—73—62—28—74—2—68—6—51—17—12—26—67—76—75—4—45—29—48—47—36—71—60—70—20—37—5—15—57—13—27—52—34—46—8—35—19—14—53—11—66—65—38—10—58—72—39—9—25—50—32—44—3—16—49—23—56—41—42—43—77

RING
1  --- 73 | cost [25.0]
2  --- 68 | cost [35.0]
2  --- 74 | cost [35.0]
3  --- 16 | cost [45.0]
3  --- 44 | cost [15.0]
4  --- 45 | cost [35.0]
4  --- 75 | cost [25.0]
5  --- 15 | cost [40.0]
5  --- 37 | cost [35.0]
6  --- 51 | cost [30.0]
6  --- 68 | cost [25.0]
8  --- 35 | cost [25.0]
8  --- 46 | cost [25.0]
9  --- 25 | cost [50.0]
9  --- 39 | cost [20.0]
10 --- 38 | cost [35.0]
10 --- 58 | cost [30.0]
11 --- 53 | cost [40.0]
11 --- 66 | cost [35.0]
12 --- 17 | cost [35.0]
12 --- 26 | cost [40.0]
13 --- 27 | cost [35.0]
13 --- 57 | cost [45.0]
14 --- 19 | cost [45.0]
14 --- 53 | cost [35.0]
15 --- 57 | cost [20.0]
16 --- 49 | cost [45.0]
17 --- 51 | cost [30.0]
19 --- 35 | cost [35.0]
20 --- 37 | cost [30.0]
20 --- 70 | cost [30.0]
23 --- 49 | cost [50.0]
23 --- 56 | cost [30.0]
25 --- 50 | cost [40.0]
26 --- 67 | cost [30.0]
27 --- 52 | cost [20.0]
28 --- 62 | cost [30.0]
28 --- 74 | cost [30.0]
29 --- 45 | cost [20.0]
29 --- 48 | cost [30.0]
32 --- 44 | cost [25.0]
32 --- 50 | cost [40.0]
34 --- 46 | cost [10.0]
34 --- 52 | cost [20.0]
36 --- 47 | cost [30.0]
36 --- 71 | cost [35.0]
38 --- 65 | cost [25.0]
39 --- 72 | cost [25.0]
41 --- 42 | cost [20.0]
41 --- 56 | cost [50.0]
42 --- 43 | cost [25.0]
43 --- 77 | cost [35.0]
47 --- 48 | cost [30.0]
58 --- 72 | cost [25.0]
60 --- 70 | cost [20.0]
60 --- 71 | cost [25.0]
62 --- 73 | cost [25.0]
65 --- 66 | cost [35.0]
67 --- 76 | cost [25.0]
75 --- 76 | cost [15.0]

STAR
7  --> 35 | cost [25.0]
18 --> 50 | cost [30.0]
21 --> 47 | cost [30.0]
22 --> 62 | cost [40.0]
24 --> 49 | cost [35.0]
30 --> 74 | cost [35.0]
31 --> 10 | cost [65.0]
33 --> 73 | cost [25.0]
40 --> 12 | cost [25.0]
54 --> 13 | cost [40.0]
55 --> 25 | cost [45.0]
59 --> 14 | cost [55.0]
61 --> 28 | cost [50.0]
63 --> 16 | cost [30.0]
64 --> 42 | cost [45.0]
69 --> 36 | cost [35.0]

BACKUP RING
1  --- 62 | cost [0.4]
2  ---  6 | cost [0.45]
2  --- 28 | cost [0.5]
3  --- 32 | cost [0.4]
3  --- 49 | cost [0.55]
4  --- 29 | cost [0.55]
4  --- 76 | cost [0.35000000000000003]
5  --- 20 | cost [0.65]
5  --- 57 | cost [0.6]
6  --- 17 | cost [0.5]
8  --- 19 | cost [0.4]
8  --- 34 | cost [0.35000000000000003]
9  --- 50 | cost [0.55]
9  --- 72 | cost [0.45]
10 --- 65 | cost [0.55]
10 --- 72 | cost [0.4]
11 --- 14 | cost [0.55]
11 --- 65 | cost [0.35000000000000003]
12 --- 51 | cost [0.65]
12 --- 67 | cost [0.65]
13 --- 15 | cost [0.55]
13 --- 52 | cost [0.45]
14 --- 35 | cost [0.5]
15 --- 37 | cost [0.45]
16 --- 23 | cost [0.65]
16 --- 44 | cost [0.6]
17 --- 26 | cost [0.4]
19 --- 53 | cost [0.55]
20 --- 60 | cost [0.5]
23 --- 41 | cost [0.55]
25 --- 32 | cost [0.6]
25 --- 39 | cost [0.7000000000000001]
26 --- 76 | cost [0.3]
27 --- 34 | cost [0.4]
27 --- 57 | cost [0.6]
28 --- 73 | cost [0.55]
29 --- 47 | cost [0.55]
35 --- 46 | cost [0.45]
36 --- 48 | cost [0.65]
36 --- 60 | cost [0.6]
37 --- 70 | cost [0.45]
38 --- 58 | cost [0.45]
38 --- 66 | cost [0.6]
39 --- 58 | cost [0.5]
41 --- 43 | cost [0.2]
42 --- 56 | cost [0.7000000000000001]
42 --- 77 | cost [0.55]
44 --- 50 | cost [0.5]
45 --- 48 | cost [0.45]
45 --- 75 | cost [0.6]
46 --- 52 | cost [0.25]
47 --- 71 | cost [0.65]
49 --- 56 | cost [0.7000000000000001]
51 --- 68 | cost [0.55]
53 --- 66 | cost [0.75]
62 --- 74 | cost [0.5]
67 --- 75 | cost [0.35000000000000003]
68 --- 74 | cost [0.65]
70 --- 71 | cost [0.4]

BACKUP STAR
7  -->  8 | cost [0.35000000000000003]
18 --> 25 | cost [0.55]
21 --> 74 | cost [0.4]
22 --> 28 | cost [0.45]
24 -->  3 | cost [0.7000000000000001]
30 -->  2 | cost [0.35000000000000003]
31 --> 39 | cost [0.8]
33 -->  1 | cost [0.4]
40 --> 17 | cost [0.35000000000000003]
54 --> 19 | cost [0.45]
55 --> 50 | cost [0.75]
59 --> 11 | cost [0.75]
61 --> 62 | cost [0.75]
63 -->  1 | cost [0.4]
64 --> 41 | cost [0.6]
69 --> 71 | cost [0.45]

B = 1.35
i★ = 16
j★ = 49
k★ = 23