------------------------------------------------------------
                            α=5.0 —— st70 —— 70 nodes       
------------------------------------------------------------

——————— Sun, 07 Jan 2024 04:44:04 ————————— seperate y_ij <= y_jj - x_ij on lazy constraints ————————— use blossom = false
ILP ——— 59 hubs —— 1—16—47—37—58—50—5—10—52—60—51—65—56—11—67—54—33—12—34—21—17—43—9—40—61—39—45—46—27—68—44—30—20—14—28—49—26—8—3—32—42—18—4—2—7—19—24—15—57—63—22—59—38—69—31—70—29—36—71
total time           3613.29 (TL 3600)    gap                  0.029                
blossom time         0                    nb blossom           0.0                  
LB <= UB             3329.91<=3431.1      subtour              394.0                
connectivity cuts    723.0                uc strategy          4                    
uc tolerance         0.01                 tildeV               2:70                 
2-opt strategy       0                                                              
explored_nodes       1534                 n lazycuts edges     0.0                  
F                    183.0                post procedure       true                 
o_i                  0                                                                                                                                                  
Found solution
RING NODES
1—16—47—37—58—50—5—10—52—60—51—65—56—11—67—54—33—12—34—21—17—43—9—40—61—39—45—46—27—68—44—30—20—14—28—49—26—8—3—32—42—18—4—2—7—19—24—15—57—63—22—59—38—69—31—70—29—36—71

RING
1  --- 16 | cost [45.0]
1  --- 71 | cost [0.0]
2  ---  4 | cost [45.0]
2  ---  7 | cost [25.0]
3  ---  8 | cost [60.0]
3  --- 32 | cost [30.0]
4  --- 18 | cost [20.0]
5  --- 10 | cost [30.0]
5  --- 50 | cost [55.0]
7  --- 19 | cost [55.0]
8  --- 26 | cost [40.0]
9  --- 40 | cost [55.0]
9  --- 43 | cost [85.0]
10 --- 52 | cost [30.0]
11 --- 56 | cost [45.0]
11 --- 67 | cost [45.0]
12 --- 33 | cost [50.0]
12 --- 34 | cost [40.0]
14 --- 20 | cost [35.0]
14 --- 28 | cost [70.0]
15 --- 24 | cost [20.0]
15 --- 57 | cost [35.0]
16 --- 47 | cost [30.0]
17 --- 21 | cost [70.0]
17 --- 43 | cost [20.0]
18 --- 42 | cost [30.0]
19 --- 24 | cost [100.0]
20 --- 30 | cost [35.0]
21 --- 34 | cost [5.0]
22 --- 59 | cost [30.0]
22 --- 63 | cost [20.0]
26 --- 49 | cost [45.0]
27 --- 46 | cost [30.0]
27 --- 68 | cost [105.0]
28 --- 49 | cost [70.0]
29 --- 36 | cost [60.0]
29 --- 70 | cost [30.0]
30 --- 44 | cost [75.0]
31 --- 69 | cost [10.0]
31 --- 70 | cost [30.0]
32 --- 42 | cost [65.0]
33 --- 54 | cost [50.0]
36 --- 71 | cost [20.0]
37 --- 47 | cost [50.0]
37 --- 58 | cost [5.0]
38 --- 59 | cost [40.0]
38 --- 69 | cost [45.0]
39 --- 45 | cost [35.0]
39 --- 61 | cost [45.0]
40 --- 61 | cost [25.0]
44 --- 68 | cost [20.0]
45 --- 46 | cost [75.0]
50 --- 58 | cost [45.0]
51 --- 60 | cost [80.0]
51 --- 65 | cost [50.0]
52 --- 60 | cost [45.0]
54 --- 67 | cost [65.0]
56 --- 65 | cost [40.0]
57 --- 63 | cost [70.0]

STAR
6  --> 42 | cost [45.0]
13 --> 29 | cost [10.0]
23 -->  1 | cost [45.0]
25 --> 45 | cost [40.0]
35 --> 69 | cost [60.0]
41 --> 42 | cost [45.0]
48 --> 67 | cost [25.0]
53 -->  5 | cost [45.0]
55 --> 49 | cost [40.0]
62 --> 54 | cost [55.0]
64 --> 65 | cost [100.0]
66 --> 63 | cost [30.0]

BACKUP RING
1  --- 47 | cost [0.65]
2  --- 18 | cost [0.6]
2  --- 19 | cost [0.65]
3  --- 26 | cost [0.9500000000000001]
3  --- 42 | cost [0.7000000000000001]
4  ---  7 | cost [0.6]
4  --- 42 | cost [0.55]
5  --- 52 | cost [0.55]
5  --- 58 | cost [0.75]
7  --- 24 | cost [1.1500000000000001]
8  --- 32 | cost [0.65]
8  --- 49 | cost [0.7000000000000001]
9  --- 17 | cost [0.8]
9  --- 61 | cost [0.65]
10 --- 50 | cost [0.45]
10 --- 60 | cost [0.75]
11 --- 54 | cost [1.05]
11 --- 65 | cost [0.6]
12 --- 21 | cost [0.4]
12 --- 54 | cost [0.9500000000000001]
14 --- 30 | cost [0.5]
14 --- 49 | cost [1.3]
15 --- 19 | cost [1.1500000000000001]
15 --- 63 | cost [1.05]
16 --- 37 | cost [0.6]
17 --- 34 | cost [0.75]
18 --- 32 | cost [0.65]
20 --- 28 | cost [0.9500000000000001]
20 --- 44 | cost [1.0]
21 --- 43 | cost [0.9500000000000001]
22 --- 38 | cost [0.4]
22 --- 57 | cost [0.9]
24 --- 57 | cost [0.35000000000000003]
26 --- 28 | cost [0.55]
27 --- 44 | cost [1.2]
27 --- 45 | cost [0.9]
29 --- 31 | cost [0.35000000000000003]
29 --- 71 | cost [0.7000000000000001]
30 --- 68 | cost [0.85]
31 --- 38 | cost [0.5]
33 --- 34 | cost [0.7000000000000001]
33 --- 67 | cost [0.8]
36 --- 70 | cost [0.9]
37 --- 50 | cost [0.5]
39 --- 40 | cost [0.6]
39 --- 46 | cost [1.1]
40 --- 43 | cost [1.4000000000000001]
45 --- 61 | cost [0.5]
46 --- 68 | cost [1.35]
47 --- 58 | cost [0.5]
51 --- 52 | cost [0.85]
51 --- 56 | cost [0.45]
56 --- 67 | cost [0.4]
59 --- 63 | cost [0.3]
59 --- 69 | cost [0.5]
60 --- 65 | cost [1.25]
69 --- 70 | cost [0.4]

BACKUP STAR
6  --> 18 | cost [0.5]
13 --> 31 | cost [0.3]
25 --> 39 | cost [0.55]
35 --> 31 | cost [0.65]
41 --> 43 | cost [0.55]
48 --> 11 | cost [0.45]
53 --> 10 | cost [0.75]
55 --> 26 | cost [0.8]
62 --> 33 | cost [0.9]
64 --> 11 | cost [1.2]
66 --> 22 | cost [0.3]

B = 1.7000000000000002
i★ = 33
j★ = 54
k★ = 67

       
——————— Sun, 07 Jan 2024 05:44:48 ————————— seperate y_ij <= y_jj - x_ij on lazy constraints ————————— use blossom = false
BD  —— 58 hubs —— 1-16-47-37-58-50-5-10-52-60-51-65-56-11-48-67-54-33-12-21-17-9-40-61-39-45-46-27-68-44-30-20-14-28-49-26-8-3-32-42-6-18-4-2-7-19-24-57-63-22-59-38-69-31-13-29-36-71-1
total time           3603.44 (TL 3600)    gap                  0.057                
blossom time         0                    nb blossom           0.0                  
LB <= UB             3252.23<=3449.4      Master/SP costs      3129.15/320.25       
Master time          3588.03              SP time              15.41                
subtour              7253.0               connectivity cuts    2000.0               
uc strategy          4                    uc tolerance         0.01                 
opt. cuts            694.0                SP method            poly                 
tildeV               2:70                 inst transformation  2                    
2-opt strategy       0                                                              
explored nodes       149994               
F                    183.0                
                                          o_i                  0                                                              
                                          
Found solution
RING NODES
1—16—47—37—58—50—5—10—52—60—51—65—56—11—48—67—54—33—12—21—17—9—40—61—39—45—46—27—68—44—30—20—14—28—49—26—8—3—32—42—6—18—4—2—7—19—24—57—63—22—59—38—69—31—13—29—36—71

RING
1  --- 16 | cost [45.0]
1  --- 71 | cost [0.0]
2  ---  4 | cost [45.0]
2  ---  7 | cost [25.0]
3  ---  8 | cost [60.0]
3  --- 32 | cost [30.0]
4  --- 18 | cost [20.0]
5  --- 10 | cost [30.0]
5  --- 50 | cost [55.0]
6  --- 18 | cost [50.0]
6  --- 42 | cost [45.0]
7  --- 19 | cost [55.0]
8  --- 26 | cost [40.0]
9  --- 17 | cost [80.0]
9  --- 40 | cost [55.0]
10 --- 52 | cost [30.0]
11 --- 48 | cost [45.0]
11 --- 56 | cost [45.0]
12 --- 21 | cost [40.0]
12 --- 33 | cost [50.0]
13 --- 29 | cost [10.0]
13 --- 31 | cost [30.0]
14 --- 20 | cost [35.0]
14 --- 28 | cost [70.0]
16 --- 47 | cost [30.0]
17 --- 21 | cost [70.0]
19 --- 24 | cost [100.0]
20 --- 30 | cost [35.0]
22 --- 59 | cost [30.0]
22 --- 63 | cost [20.0]
24 --- 57 | cost [35.0]
26 --- 49 | cost [45.0]
27 --- 46 | cost [30.0]
27 --- 68 | cost [105.0]
28 --- 49 | cost [70.0]
29 --- 36 | cost [60.0]
30 --- 44 | cost [75.0]
31 --- 69 | cost [10.0]
32 --- 42 | cost [65.0]
33 --- 54 | cost [50.0]
36 --- 71 | cost [20.0]
37 --- 47 | cost [50.0]
37 --- 58 | cost [5.0]
38 --- 59 | cost [40.0]
38 --- 69 | cost [45.0]
39 --- 45 | cost [35.0]
39 --- 61 | cost [45.0]
40 --- 61 | cost [25.0]
44 --- 68 | cost [20.0]
45 --- 46 | cost [75.0]
48 --- 67 | cost [25.0]
50 --- 58 | cost [45.0]
51 --- 60 | cost [80.0]
51 --- 65 | cost [50.0]
52 --- 60 | cost [45.0]
54 --- 67 | cost [65.0]
56 --- 65 | cost [40.0]
57 --- 63 | cost [70.0]

STAR
15 --> 24 | cost [20.0]
23 -->  1 | cost [45.0]
25 --> 45 | cost [40.0]
34 --> 21 | cost [5.0]
35 --> 69 | cost [60.0]
41 -->  6 | cost [30.0]
43 --> 17 | cost [20.0]
53 -->  5 | cost [45.0]
55 --> 49 | cost [40.0]
62 --> 54 | cost [55.0]
64 --> 65 | cost [100.0]
66 --> 63 | cost [30.0]
70 --> 29 | cost [30.0]

BACKUP RING
1  --- 47 | cost [0.65]
2  --- 18 | cost [0.6]
2  --- 19 | cost [0.65]
3  --- 26 | cost [0.9500000000000001]
3  --- 42 | cost [0.7000000000000001]
4  ---  6 | cost [0.7000000000000001]
4  ---  7 | cost [0.6]
5  --- 52 | cost [0.55]
5  --- 58 | cost [0.75]
6  --- 32 | cost [1.05]
7  --- 24 | cost [1.1500000000000001]
8  --- 32 | cost [0.65]
8  --- 49 | cost [0.7000000000000001]
9  --- 21 | cost [1.0]
9  --- 61 | cost [0.65]
10 --- 50 | cost [0.45]
10 --- 60 | cost [0.75]
11 --- 65 | cost [0.6]
11 --- 67 | cost [0.45]
12 --- 17 | cost [0.9500000000000001]
12 --- 54 | cost [0.9500000000000001]
13 --- 36 | cost [0.65]
13 --- 69 | cost [0.4]
14 --- 30 | cost [0.5]
14 --- 49 | cost [1.3]
16 --- 37 | cost [0.6]
17 --- 40 | cost [1.3]
18 --- 42 | cost [0.3]
19 --- 57 | cost [1.3]
20 --- 28 | cost [0.9500000000000001]
20 --- 44 | cost [1.0]
21 --- 33 | cost [0.7000000000000001]
22 --- 38 | cost [0.4]
22 --- 57 | cost [0.9]
24 --- 63 | cost [1.05]
26 --- 28 | cost [0.55]
27 --- 44 | cost [1.2]
27 --- 45 | cost [0.9]
29 --- 31 | cost [0.35000000000000003]
29 --- 71 | cost [0.7000000000000001]
30 --- 68 | cost [0.85]
31 --- 38 | cost [0.5]
33 --- 67 | cost [0.8]
37 --- 50 | cost [0.5]
39 --- 40 | cost [0.6]
39 --- 46 | cost [1.1]
45 --- 61 | cost [0.5]
46 --- 68 | cost [1.35]
47 --- 58 | cost [0.5]
48 --- 54 | cost [0.65]
48 --- 56 | cost [0.65]
51 --- 52 | cost [0.85]
51 --- 56 | cost [0.45]
59 --- 63 | cost [0.3]
59 --- 69 | cost [0.5]
60 --- 65 | cost [1.25]

BACKUP STAR
15 --> 57 | cost [0.35000000000000003]
25 --> 39 | cost [0.55]
34 --> 12 | cost [0.4]
35 --> 31 | cost [0.65]
41 --> 42 | cost [0.45]
43 --> 68 | cost [0.75]
53 --> 10 | cost [0.75]
55 --> 26 | cost [0.8]
62 --> 33 | cost [0.9]
64 --> 11 | cost [1.2]
66 --> 22 | cost [0.3]
70 --> 13 | cost [0.3]

B = 1.75
i★ = 9
j★ = 17
k★ = 21

       
——————— Mon, 08 Jan 2024 00:58:19 ————————— seperate y_ij <= y_jj - x_ij on lazy constraints ————————— use blossom = true
ILP ——— 58 hubs —— 1—23—13—70—31—69—38—59—22—63—57—15—24—19—7—2—4—18—42—32—3—8—26—49—28—14—20—30—44—68—27—46—45—39—61—40—9—43—17—21—34—12—33—54—67—11—56—65—51—60—52—10—5—50—58—47—16—71
total time           2734.65              gap                  0.0                  
blossom time         13.85                nb blossom           1827.0               
LB <= UB             3431.1<=3431.1       subtour              519.0                
connectivity cuts    1439.0               uc strategy          4                    
uc tolerance         0.01                 tildeV               2:70                 
2-opt strategy       0                                                              
explored_nodes       4503                 n lazycuts edges     0.0                  
F                    183.0                post procedure       true                 
o_i                  0                                                                                                                                                  
Found solution
RING NODES
1—23—13—70—31—69—38—59—22—63—57—15—24—19—7—2—4—18—42—32—3—8—26—49—28—14—20—30—44—68—27—46—45—39—61—40—9—43—17—21—34—12—33—54—67—11—56—65—51—60—52—10—5—50—58—47—16—71

RING
1  --- 23 | cost [45.0]
1  --- 71 | cost [0.0]
2  ---  4 | cost [45.0]
2  ---  7 | cost [25.0]
3  ---  8 | cost [60.0]
3  --- 32 | cost [30.0]
4  --- 18 | cost [20.0]
5  --- 10 | cost [30.0]
5  --- 50 | cost [55.0]
7  --- 19 | cost [55.0]
8  --- 26 | cost [40.0]
9  --- 40 | cost [55.0]
9  --- 43 | cost [85.0]
10 --- 52 | cost [30.0]
11 --- 56 | cost [45.0]
11 --- 67 | cost [45.0]
12 --- 33 | cost [50.0]
12 --- 34 | cost [40.0]
13 --- 23 | cost [60.0]
13 --- 70 | cost [30.0]
14 --- 20 | cost [35.0]
14 --- 28 | cost [70.0]
15 --- 24 | cost [20.0]
15 --- 57 | cost [35.0]
16 --- 47 | cost [30.0]
16 --- 71 | cost [45.0]
17 --- 21 | cost [70.0]
17 --- 43 | cost [20.0]
18 --- 42 | cost [30.0]
19 --- 24 | cost [100.0]
20 --- 30 | cost [35.0]
21 --- 34 | cost [5.0]
22 --- 59 | cost [30.0]
22 --- 63 | cost [20.0]
26 --- 49 | cost [45.0]
27 --- 46 | cost [30.0]
27 --- 68 | cost [105.0]
28 --- 49 | cost [70.0]
30 --- 44 | cost [75.0]
31 --- 69 | cost [10.0]
31 --- 70 | cost [30.0]
32 --- 42 | cost [65.0]
33 --- 54 | cost [50.0]
38 --- 59 | cost [40.0]
38 --- 69 | cost [45.0]
39 --- 45 | cost [35.0]
39 --- 61 | cost [45.0]
40 --- 61 | cost [25.0]
44 --- 68 | cost [20.0]
45 --- 46 | cost [75.0]
47 --- 58 | cost [50.0]
50 --- 58 | cost [45.0]
51 --- 60 | cost [80.0]
51 --- 65 | cost [50.0]
52 --- 60 | cost [45.0]
54 --- 67 | cost [65.0]
56 --- 65 | cost [40.0]
57 --- 63 | cost [70.0]

STAR
6  --> 42 | cost [45.0]
25 --> 45 | cost [40.0]
29 --> 13 | cost [10.0]
35 --> 69 | cost [60.0]
36 -->  1 | cost [20.0]
37 --> 58 | cost [5.0]
41 --> 42 | cost [45.0]
48 --> 67 | cost [25.0]
53 -->  5 | cost [45.0]
55 --> 49 | cost [40.0]
62 --> 54 | cost [55.0]
64 --> 65 | cost [100.0]
66 --> 22 | cost [30.0]

BACKUP RING
1  --- 13 | cost [0.75]
2  --- 18 | cost [0.6]
2  --- 19 | cost [0.65]
3  --- 26 | cost [0.9500000000000001]
3  --- 42 | cost [0.7000000000000001]
4  ---  7 | cost [0.6]
4  --- 42 | cost [0.55]
5  --- 52 | cost [0.55]
5  --- 58 | cost [0.75]
7  --- 24 | cost [1.1500000000000001]
8  --- 32 | cost [0.65]
8  --- 49 | cost [0.7000000000000001]
9  --- 17 | cost [0.8]
9  --- 61 | cost [0.65]
10 --- 50 | cost [0.45]
10 --- 60 | cost [0.75]
11 --- 54 | cost [1.05]
11 --- 65 | cost [0.6]
12 --- 21 | cost [0.4]
12 --- 54 | cost [0.9500000000000001]
13 --- 31 | cost [0.3]
14 --- 30 | cost [0.5]
14 --- 49 | cost [1.3]
15 --- 19 | cost [1.1500000000000001]
15 --- 63 | cost [1.05]
16 --- 58 | cost [0.65]
17 --- 34 | cost [0.75]
18 --- 32 | cost [0.65]
20 --- 28 | cost [0.9500000000000001]
20 --- 44 | cost [1.0]
21 --- 43 | cost [0.9500000000000001]
22 --- 38 | cost [0.4]
22 --- 57 | cost [0.9]
23 --- 70 | cost [0.9]
24 --- 57 | cost [0.35000000000000003]
26 --- 28 | cost [0.55]
27 --- 44 | cost [1.2]
27 --- 45 | cost [0.9]
30 --- 68 | cost [0.85]
31 --- 38 | cost [0.5]
33 --- 34 | cost [0.7000000000000001]
33 --- 67 | cost [0.8]
39 --- 40 | cost [0.6]
39 --- 46 | cost [1.1]
40 --- 43 | cost [1.4000000000000001]
45 --- 61 | cost [0.5]
46 --- 68 | cost [1.35]
47 --- 50 | cost [0.9500000000000001]
47 --- 71 | cost [0.65]
51 --- 52 | cost [0.85]
51 --- 56 | cost [0.45]
56 --- 67 | cost [0.4]
59 --- 63 | cost [0.3]
59 --- 69 | cost [0.5]
60 --- 65 | cost [1.25]
69 --- 70 | cost [0.4]

BACKUP STAR
6  --> 18 | cost [0.5]
25 --> 39 | cost [0.55]
29 --> 70 | cost [0.3]
35 --> 31 | cost [0.65]
37 --> 47 | cost [0.5]
41 --> 43 | cost [0.55]
48 --> 11 | cost [0.45]
53 --> 10 | cost [0.75]
55 --> 26 | cost [0.8]
62 --> 33 | cost [0.9]
64 --> 11 | cost [1.2]
66 --> 63 | cost [0.3]

B = 1.7000000000000002
i★ = 33
j★ = 54
k★ = 67

       
——————— Mon, 08 Jan 2024 01:58:58 ————————— seperate y_ij <= y_jj - x_ij on lazy constraints ————————— use blossom = true
BD  —— 55 hubs —— 1-16-47-37-58-50-5-10-52-60-51-65-56-67-54-33-12-34-21-17-9-40-61-39-45-46-27-68-44-30-20-14-28-49-26-8-3-32-42-18-4-2-7-19-24-15-57-63-22-38-69-31-13-23-71-1
total time           3604.69 (TL 3600)    gap                  0.057                
blossom time         626.71               nb blossom           109101.0             
LB <= UB             3249.2<=3444.4       Master/SP costs      3115/329.4           
Master time          3594.87              SP time              9.81                 
subtour              9741.0               connectivity cuts    2000.0               
uc strategy          4                    uc tolerance         0.01                 
opt. cuts            599.0                SP method            poly                 
tildeV               2:70                 inst transformation  2                    
2-opt strategy       0                                                              
explored nodes       126736               
F                    183.0                
                                          o_i                  0                                                              
                                          
Found solution
RING NODES
1—16—47—37—58—50—5—10—52—60—51—65—56—67—54—33—12—34—21—17—9—40—61—39—45—46—27—68—44—30—20—14—28—49—26—8—3—32—42—18—4—2—7—19—24—15—57—63—22—38—69—31—13—23—71

RING
1  --- 16 | cost [45.0]
1  --- 71 | cost [0.0]
2  ---  4 | cost [45.0]
2  ---  7 | cost [25.0]
3  ---  8 | cost [60.0]
3  --- 32 | cost [30.0]
4  --- 18 | cost [20.0]
5  --- 10 | cost [30.0]
5  --- 50 | cost [55.0]
7  --- 19 | cost [55.0]
8  --- 26 | cost [40.0]
9  --- 17 | cost [80.0]
9  --- 40 | cost [55.0]
10 --- 52 | cost [30.0]
12 --- 33 | cost [50.0]
12 --- 34 | cost [40.0]
13 --- 23 | cost [60.0]
13 --- 31 | cost [30.0]
14 --- 20 | cost [35.0]
14 --- 28 | cost [70.0]
15 --- 24 | cost [20.0]
15 --- 57 | cost [35.0]
16 --- 47 | cost [30.0]
17 --- 21 | cost [70.0]
18 --- 42 | cost [30.0]
19 --- 24 | cost [100.0]
20 --- 30 | cost [35.0]
21 --- 34 | cost [5.0]
22 --- 38 | cost [40.0]
22 --- 63 | cost [20.0]
23 --- 71 | cost [45.0]
26 --- 49 | cost [45.0]
27 --- 46 | cost [30.0]
27 --- 68 | cost [105.0]
28 --- 49 | cost [70.0]
30 --- 44 | cost [75.0]
31 --- 69 | cost [10.0]
32 --- 42 | cost [65.0]
33 --- 54 | cost [50.0]
37 --- 47 | cost [50.0]
37 --- 58 | cost [5.0]
38 --- 69 | cost [45.0]
39 --- 45 | cost [35.0]
39 --- 61 | cost [45.0]
40 --- 61 | cost [25.0]
44 --- 68 | cost [20.0]
45 --- 46 | cost [75.0]
50 --- 58 | cost [45.0]
51 --- 60 | cost [80.0]
51 --- 65 | cost [50.0]
52 --- 60 | cost [45.0]
54 --- 67 | cost [65.0]
56 --- 65 | cost [40.0]
56 --- 67 | cost [40.0]
57 --- 63 | cost [70.0]

STAR
6  --> 18 | cost [50.0]
11 --> 56 | cost [45.0]
25 --> 45 | cost [40.0]
29 --> 13 | cost [10.0]
35 --> 69 | cost [60.0]
36 -->  1 | cost [20.0]
41 --> 42 | cost [45.0]
43 --> 17 | cost [20.0]
48 --> 67 | cost [25.0]
53 -->  5 | cost [45.0]
55 --> 49 | cost [40.0]
59 --> 63 | cost [30.0]
62 --> 54 | cost [55.0]
64 --> 65 | cost [100.0]
66 --> 63 | cost [30.0]
70 --> 13 | cost [30.0]

BACKUP RING
1  --- 47 | cost [0.65]
2  --- 18 | cost [0.6]
2  --- 19 | cost [0.65]
3  --- 26 | cost [0.9500000000000001]
3  --- 42 | cost [0.7000000000000001]
4  ---  7 | cost [0.6]
4  --- 42 | cost [0.55]
5  --- 52 | cost [0.55]
5  --- 58 | cost [0.75]
7  --- 24 | cost [1.1500000000000001]
8  --- 32 | cost [0.65]
8  --- 49 | cost [0.7000000000000001]
9  --- 21 | cost [1.0]
9  --- 61 | cost [0.65]
10 --- 50 | cost [0.45]
10 --- 60 | cost [0.75]
12 --- 21 | cost [0.4]
12 --- 54 | cost [0.9500000000000001]
13 --- 69 | cost [0.4]
13 --- 71 | cost [0.75]
14 --- 30 | cost [0.5]
14 --- 49 | cost [1.3]
15 --- 19 | cost [1.1500000000000001]
15 --- 63 | cost [1.05]
16 --- 37 | cost [0.6]
17 --- 34 | cost [0.75]
17 --- 40 | cost [1.3]
18 --- 32 | cost [0.65]
20 --- 28 | cost [0.9500000000000001]
20 --- 44 | cost [1.0]
22 --- 57 | cost [0.9]
22 --- 69 | cost [0.75]
23 --- 31 | cost [0.75]
24 --- 57 | cost [0.35000000000000003]
26 --- 28 | cost [0.55]
27 --- 44 | cost [1.2]
27 --- 45 | cost [0.9]
30 --- 68 | cost [0.85]
31 --- 38 | cost [0.5]
33 --- 34 | cost [0.7000000000000001]
33 --- 67 | cost [0.8]
37 --- 50 | cost [0.5]
38 --- 63 | cost [0.6]
39 --- 40 | cost [0.6]
39 --- 46 | cost [1.1]
45 --- 61 | cost [0.5]
46 --- 68 | cost [1.35]
47 --- 58 | cost [0.5]
51 --- 52 | cost [0.85]
51 --- 56 | cost [0.45]
54 --- 56 | cost [1.0]
60 --- 65 | cost [1.25]
65 --- 67 | cost [0.8]

BACKUP STAR
6  --> 42 | cost [0.45]
11 --> 67 | cost [0.45]
25 --> 39 | cost [0.55]
29 --> 31 | cost [0.35000000000000003]
35 --> 31 | cost [0.65]
41 --> 17 | cost [0.7000000000000001]
43 --> 68 | cost [0.75]
48 --> 54 | cost [0.65]
53 --> 10 | cost [0.75]
55 --> 26 | cost [0.8]
59 --> 22 | cost [0.3]
62 --> 33 | cost [0.9]
64 --> 56 | cost [1.35]
66 --> 22 | cost [0.3]
70 --> 31 | cost [0.3]

B = 1.8
i★ = 51
j★ = 65
k★ = 56