------------------------------------------------------------
                            α=7.0 —— st70 —— 70 nodes       
------------------------------------------------------------

——————— Sat, 06 Jan 2024 12:07:27 ————————— seperate y_ij <= y_jj - x_ij on lazy constraints ————————— use blossom = false
ILP ——— 32 hubs —— 1—16—37—58—50—51—56—67—54—33—12—34—61—40—9—68—44—14—28—8—32—18—4—2—24—57—63—59—69—31—29—71
total time           820.85               gap                  0.0                  
blossom time         0                    nb blossom           0.0                  
LB <= UB             3427.42<=3427.42     subtour              106.0                
connectivity cuts    127.0                uc strategy          4                    
uc tolerance         0.01                 tildeV               2:70                 
2-opt strategy       0                                                              
explored_nodes       144                  n lazycuts edges     0.0                  
F                    7.0                  post procedure       true                 
o_i                  0                                                                                                                                                  
Found solution
RING NODES
1—16—37—58—50—51—56—67—54—33—12—34—61—40—9—68—44—14—28—8—32—18—4—2—24—57—63—59—69—31—29—71

RING
1  --- 16 | cost [63.0]
1  --- 71 | cost [0.0]
2  ---  4 | cost [63.0]
2  --- 24 | cost [140.0]
4  --- 18 | cost [28.0]
8  --- 28 | cost [28.0]
8  --- 32 | cost [91.0]
9  --- 40 | cost [77.0]
9  --- 68 | cost [126.0]
12 --- 33 | cost [70.0]
12 --- 34 | cost [56.0]
14 --- 28 | cost [98.0]
14 --- 44 | cost [112.0]
16 --- 37 | cost [84.0]
18 --- 32 | cost [91.0]
24 --- 57 | cost [49.0]
29 --- 31 | cost [49.0]
29 --- 71 | cost [98.0]
31 --- 69 | cost [14.0]
33 --- 54 | cost [70.0]
34 --- 61 | cost [161.0]
37 --- 58 | cost [7.0]
40 --- 61 | cost [35.0]
44 --- 68 | cost [28.0]
50 --- 51 | cost [112.0]
50 --- 58 | cost [63.0]
51 --- 56 | cost [63.0]
54 --- 67 | cost [91.0]
56 --- 67 | cost [56.0]
57 --- 63 | cost [98.0]
59 --- 63 | cost [42.0]
59 --- 69 | cost [70.0]

STAR
3  --> 32 | cost [18.0]
5  --> 50 | cost [33.0]
6  --> 18 | cost [30.0]
7  -->  2 | cost [15.0]
10 --> 50 | cost [27.0]
11 --> 67 | cost [27.0]
13 --> 29 | cost [6.0]
15 --> 24 | cost [12.0]
17 --> 34 | cost [45.0]
19 -->  2 | cost [39.0]
20 --> 14 | cost [21.0]
21 --> 34 | cost [3.0]
22 --> 63 | cost [12.0]
23 -->  1 | cost [27.0]
25 --> 40 | cost [51.0]
26 -->  8 | cost [24.0]
27 --> 40 | cost [39.0]
30 --> 14 | cost [30.0]
35 --> 69 | cost [36.0]
36 -->  1 | cost [12.0]
38 --> 59 | cost [24.0]
39 --> 61 | cost [27.0]
41 --> 18 | cost [42.0]
42 --> 18 | cost [18.0]
43 --> 68 | cost [45.0]
45 --> 40 | cost [27.0]
46 --> 40 | cost [42.0]
47 --> 16 | cost [18.0]
48 --> 67 | cost [15.0]
49 --> 28 | cost [42.0]
52 --> 50 | cost [39.0]
53 --> 58 | cost [63.0]
55 -->  8 | cost [63.0]
60 --> 12 | cost [27.0]
62 --> 54 | cost [33.0]
64 --> 56 | cost [81.0]
65 --> 56 | cost [24.0]
66 --> 63 | cost [18.0]
70 --> 31 | cost [18.0]

BACKUP RING
1  --- 37 | cost [1.47]
2  --- 18 | cost [0.84]
2  --- 57 | cost [1.61]
4  --- 24 | cost [1.68]
4  --- 32 | cost [0.98]
8  --- 14 | cost [1.19]
8  --- 18 | cost [1.75]
9  --- 44 | cost [1.61]
9  --- 61 | cost [0.91]
12 --- 54 | cost [1.33]
12 --- 61 | cost [2.17]
14 --- 68 | cost [1.33]
16 --- 58 | cost [0.91]
24 --- 63 | cost [1.47]
28 --- 32 | cost [1.12]
28 --- 44 | cost [1.75]
29 --- 69 | cost [0.63]
31 --- 59 | cost [0.84]
31 --- 71 | cost [1.4000000000000001]
33 --- 34 | cost [0.98]
33 --- 67 | cost [1.12]
34 --- 40 | cost [1.82]
37 --- 50 | cost [0.7000000000000001]
40 --- 68 | cost [1.96]
50 --- 56 | cost [1.75]
51 --- 58 | cost [1.68]
51 --- 67 | cost [1.19]
54 --- 56 | cost [1.4000000000000001]
57 --- 59 | cost [1.26]
63 --- 69 | cost [1.12]

BACKUP STAR
3  -->  8 | cost [0.36]
5  --> 58 | cost [0.45]
6  -->  4 | cost [0.42]
7  --> 32 | cost [0.3]
10 --> 58 | cost [0.48]
11 --> 56 | cost [0.27]
13 --> 31 | cost [0.18]
15 --> 57 | cost [0.21]
17 -->  9 | cost [0.48]
19 --> 24 | cost [0.6]
20 --> 28 | cost [0.5700000000000001]
21 --> 12 | cost [0.24]
22 --> 59 | cost [0.18]
25 --> 61 | cost [0.54]
26 --> 28 | cost [0.33]
27 -->  9 | cost [0.42]
30 --> 44 | cost [0.45]
35 --> 31 | cost [0.39]
38 --> 69 | cost [0.27]
39 --> 40 | cost [0.36]
41 -->  4 | cost [0.54]
42 -->  4 | cost [0.33]
43 -->  9 | cost [0.51]
45 --> 61 | cost [0.3]
46 -->  9 | cost [0.5700000000000001]
47 --> 37 | cost [0.3]
48 --> 54 | cost [0.39]
49 -->  8 | cost [0.42]
52 --> 12 | cost [0.45]
53 --> 50 | cost [0.6]
55 --> 28 | cost [0.66]
60 --> 33 | cost [0.3]
62 --> 33 | cost [0.54]
64 --> 51 | cost [0.87]
65 --> 51 | cost [0.3]
66 --> 59 | cost [0.33]
70 --> 29 | cost [0.18]

B = 3.06
i★ = 51
j★ = 50
k★ = 58

       
——————— Sat, 06 Jan 2024 12:08:20 ————————— seperate y_ij <= y_jj - x_ij on lazy constraints ————————— use blossom = false
BD  —— 32 hubs —— 1-13-31-69-59-63-57-24-2-4-18-32-8-28-14-44-68-9-40-61-34-12-33-54-67-56-51-50-58-37-16-71-1
total time           19.07                gap                  0.0                  
blossom time         0                    nb blossom           0.0                  
LB <= UB             3427.42<=3427.42     Master/SP costs      3406/21.42           
Master time          18.27                SP time              0.8                  
subtour              151.0                connectivity cuts    243.0                
uc strategy          4                    uc tolerance         0.01                 
opt. cuts            25.0                 SP method            poly                 
tildeV               2:70                 inst transformation  2                    
2-opt strategy       0                                                              
explored nodes       827                  
F                    7.0                  
                                          o_i                  0                                                              
                                          
Found solution
RING NODES
1—13—31—69—59—63—57—24—2—4—18—32—8—28—14—44—68—9—40—61—34—12—33—54—67—56—51—50—58—37—16—71

RING
1  --- 13 | cost [105.0]
1  --- 71 | cost [0.0]
2  ---  4 | cost [63.0]
2  --- 24 | cost [140.0]
4  --- 18 | cost [28.0]
8  --- 28 | cost [28.0]
8  --- 32 | cost [91.0]
9  --- 40 | cost [77.0]
9  --- 68 | cost [126.0]
12 --- 33 | cost [70.0]
12 --- 34 | cost [56.0]
13 --- 31 | cost [42.0]
14 --- 28 | cost [98.0]
14 --- 44 | cost [112.0]
16 --- 37 | cost [84.0]
16 --- 71 | cost [63.0]
18 --- 32 | cost [91.0]
24 --- 57 | cost [49.0]
31 --- 69 | cost [14.0]
33 --- 54 | cost [70.0]
34 --- 61 | cost [161.0]
37 --- 58 | cost [7.0]
40 --- 61 | cost [35.0]
44 --- 68 | cost [28.0]
50 --- 51 | cost [112.0]
50 --- 58 | cost [63.0]
51 --- 56 | cost [63.0]
54 --- 67 | cost [91.0]
56 --- 67 | cost [56.0]
57 --- 63 | cost [98.0]
59 --- 63 | cost [42.0]
59 --- 69 | cost [70.0]

STAR
3  --> 32 | cost [18.0]
5  --> 50 | cost [33.0]
6  --> 18 | cost [30.0]
7  -->  2 | cost [15.0]
10 --> 50 | cost [27.0]
11 --> 67 | cost [27.0]
15 --> 24 | cost [12.0]
17 --> 34 | cost [45.0]
19 -->  2 | cost [39.0]
20 --> 14 | cost [21.0]
21 --> 34 | cost [3.0]
22 --> 63 | cost [12.0]
23 -->  1 | cost [27.0]
25 --> 40 | cost [51.0]
26 -->  8 | cost [24.0]
27 --> 40 | cost [39.0]
29 --> 13 | cost [6.0]
30 --> 14 | cost [30.0]
35 --> 69 | cost [36.0]
36 -->  1 | cost [12.0]
38 --> 59 | cost [24.0]
39 --> 61 | cost [27.0]
41 --> 18 | cost [42.0]
42 --> 18 | cost [18.0]
43 --> 68 | cost [45.0]
45 --> 40 | cost [27.0]
46 --> 40 | cost [42.0]
47 --> 16 | cost [18.0]
48 --> 67 | cost [15.0]
49 --> 28 | cost [42.0]
52 --> 50 | cost [39.0]
53 --> 58 | cost [63.0]
55 -->  8 | cost [63.0]
60 --> 12 | cost [27.0]
62 --> 54 | cost [33.0]
64 --> 56 | cost [81.0]
65 --> 56 | cost [24.0]
66 --> 63 | cost [18.0]
70 --> 31 | cost [18.0]

BACKUP RING
1  --- 31 | cost [1.4000000000000001]
2  --- 18 | cost [0.84]
2  --- 57 | cost [1.61]
4  --- 24 | cost [1.68]
4  --- 32 | cost [0.98]
8  --- 14 | cost [1.19]
8  --- 18 | cost [1.75]
9  --- 44 | cost [1.61]
9  --- 61 | cost [0.91]
12 --- 54 | cost [1.33]
12 --- 61 | cost [2.17]
13 --- 69 | cost [0.56]
14 --- 68 | cost [1.33]
16 --- 58 | cost [0.91]
24 --- 63 | cost [1.47]
28 --- 32 | cost [1.12]
28 --- 44 | cost [1.75]
31 --- 59 | cost [0.84]
33 --- 34 | cost [0.98]
33 --- 67 | cost [1.12]
34 --- 40 | cost [1.82]
37 --- 50 | cost [0.7000000000000001]
37 --- 71 | cost [1.47]
40 --- 68 | cost [1.96]
50 --- 56 | cost [1.75]
51 --- 58 | cost [1.68]
51 --- 67 | cost [1.19]
54 --- 56 | cost [1.4000000000000001]
57 --- 59 | cost [1.26]
63 --- 69 | cost [1.12]

BACKUP STAR
3  -->  8 | cost [0.36]
5  --> 58 | cost [0.45]
6  -->  4 | cost [0.42]
7  --> 32 | cost [0.3]
10 --> 58 | cost [0.48]
11 --> 56 | cost [0.27]
15 --> 57 | cost [0.21]
17 -->  9 | cost [0.48]
19 --> 24 | cost [0.6]
20 --> 28 | cost [0.5700000000000001]
21 --> 12 | cost [0.24]
22 --> 59 | cost [0.18]
25 --> 61 | cost [0.54]
26 --> 28 | cost [0.33]
27 -->  9 | cost [0.42]
29 --> 31 | cost [0.21]
30 --> 44 | cost [0.45]
35 --> 31 | cost [0.39]
38 --> 69 | cost [0.27]
39 --> 40 | cost [0.36]
41 -->  4 | cost [0.54]
42 -->  4 | cost [0.33]
43 -->  9 | cost [0.51]
45 --> 61 | cost [0.3]
46 -->  9 | cost [0.5700000000000001]
47 --> 37 | cost [0.3]
48 --> 54 | cost [0.39]
49 -->  8 | cost [0.42]
52 --> 12 | cost [0.45]
53 --> 50 | cost [0.6]
55 --> 28 | cost [0.66]
60 --> 33 | cost [0.3]
62 --> 33 | cost [0.54]
64 --> 51 | cost [0.87]
65 --> 51 | cost [0.3]
66 --> 59 | cost [0.33]
70 --> 13 | cost [0.18]

B = 3.06
i★ = 51
j★ = 50
k★ = 58

       
——————— Sun, 07 Jan 2024 09:15:17 ————————— seperate y_ij <= y_jj - x_ij on lazy constraints ————————— use blossom = true
ILP ——— 32 hubs —— 1—16—37—58—50—51—56—67—54—33—12—34—61—40—9—68—44—14—28—8—32—18—4—2—24—57—63—59—69—31—29—71
total time           916.85               gap                  0.0                  
blossom time         0.86                 nb blossom           91.0                 
LB <= UB             3427.15<=3427.42     subtour              56.0                 
connectivity cuts    145.0                uc strategy          4                    
uc tolerance         0.01                 tildeV               2:70                 
2-opt strategy       0                                                              
explored_nodes       166                  n lazycuts edges     0.0                  
F                    7.0                  post procedure       true                 
o_i                  0                                                                                                                                                  
Found solution
RING NODES
1—16—37—58—50—51—56—67—54—33—12—34—61—40—9—68—44—14—28—8—32—18—4—2—24—57—63—59—69—31—29—71

RING
1  --- 16 | cost [63.0]
1  --- 71 | cost [0.0]
2  ---  4 | cost [63.0]
2  --- 24 | cost [140.0]
4  --- 18 | cost [28.0]
8  --- 28 | cost [28.0]
8  --- 32 | cost [91.0]
9  --- 40 | cost [77.0]
9  --- 68 | cost [126.0]
12 --- 33 | cost [70.0]
12 --- 34 | cost [56.0]
14 --- 28 | cost [98.0]
14 --- 44 | cost [112.0]
16 --- 37 | cost [84.0]
18 --- 32 | cost [91.0]
24 --- 57 | cost [49.0]
29 --- 31 | cost [49.0]
29 --- 71 | cost [98.0]
31 --- 69 | cost [14.0]
33 --- 54 | cost [70.0]
34 --- 61 | cost [161.0]
37 --- 58 | cost [7.0]
40 --- 61 | cost [35.0]
44 --- 68 | cost [28.0]
50 --- 51 | cost [112.0]
50 --- 58 | cost [63.0]
51 --- 56 | cost [63.0]
54 --- 67 | cost [91.0]
56 --- 67 | cost [56.0]
57 --- 63 | cost [98.0]
59 --- 63 | cost [42.0]
59 --- 69 | cost [70.0]

STAR
3  --> 32 | cost [18.0]
5  --> 50 | cost [33.0]
6  --> 18 | cost [30.0]
7  -->  2 | cost [15.0]
10 --> 50 | cost [27.0]
11 --> 56 | cost [27.0]
13 --> 29 | cost [6.0]
15 --> 24 | cost [12.0]
17 --> 34 | cost [45.0]
19 -->  2 | cost [39.0]
20 --> 14 | cost [21.0]
21 --> 34 | cost [3.0]
22 --> 63 | cost [12.0]
23 -->  1 | cost [27.0]
25 --> 40 | cost [51.0]
26 -->  8 | cost [24.0]
27 --> 40 | cost [39.0]
30 --> 14 | cost [30.0]
35 --> 69 | cost [36.0]
36 -->  1 | cost [12.0]
38 --> 59 | cost [24.0]
39 --> 61 | cost [27.0]
41 --> 18 | cost [42.0]
42 --> 18 | cost [18.0]
43 --> 68 | cost [45.0]
45 --> 40 | cost [27.0]
46 --> 40 | cost [42.0]
47 --> 16 | cost [18.0]
48 --> 67 | cost [15.0]
49 --> 28 | cost [42.0]
52 --> 50 | cost [39.0]
53 --> 58 | cost [63.0]
55 -->  8 | cost [63.0]
60 --> 12 | cost [27.0]
62 --> 54 | cost [33.0]
64 --> 56 | cost [81.0]
65 --> 56 | cost [24.0]
66 --> 63 | cost [18.0]
70 --> 31 | cost [18.0]

BACKUP RING
1  --- 37 | cost [1.47]
2  --- 18 | cost [0.84]
2  --- 57 | cost [1.61]
4  --- 24 | cost [1.68]
4  --- 32 | cost [0.98]
8  --- 14 | cost [1.19]
8  --- 18 | cost [1.75]
9  --- 44 | cost [1.61]
9  --- 61 | cost [0.91]
12 --- 54 | cost [1.33]
12 --- 61 | cost [2.17]
14 --- 68 | cost [1.33]
16 --- 58 | cost [0.91]
24 --- 63 | cost [1.47]
28 --- 32 | cost [1.12]
28 --- 44 | cost [1.75]
29 --- 69 | cost [0.63]
31 --- 59 | cost [0.84]
31 --- 71 | cost [1.4000000000000001]
33 --- 34 | cost [0.98]
33 --- 67 | cost [1.12]
34 --- 40 | cost [1.82]
37 --- 50 | cost [0.7000000000000001]
40 --- 68 | cost [1.96]
50 --- 56 | cost [1.75]
51 --- 58 | cost [1.68]
51 --- 67 | cost [1.19]
54 --- 56 | cost [1.4000000000000001]
57 --- 59 | cost [1.26]
63 --- 69 | cost [1.12]

BACKUP STAR
3  -->  8 | cost [0.36]
5  --> 58 | cost [0.45]
6  -->  4 | cost [0.42]
7  --> 32 | cost [0.3]
10 --> 58 | cost [0.48]
11 --> 67 | cost [0.27]
13 --> 31 | cost [0.18]
15 --> 57 | cost [0.21]
17 -->  9 | cost [0.48]
19 --> 24 | cost [0.6]
20 --> 28 | cost [0.5700000000000001]
21 --> 12 | cost [0.24]
22 --> 59 | cost [0.18]
25 --> 61 | cost [0.54]
26 --> 28 | cost [0.33]
27 -->  9 | cost [0.42]
30 --> 44 | cost [0.45]
35 --> 31 | cost [0.39]
38 --> 69 | cost [0.27]
39 --> 40 | cost [0.36]
41 -->  4 | cost [0.54]
42 -->  4 | cost [0.33]
43 -->  9 | cost [0.51]
45 --> 61 | cost [0.3]
46 -->  9 | cost [0.5700000000000001]
47 --> 37 | cost [0.3]
48 --> 54 | cost [0.39]
49 -->  8 | cost [0.42]
52 --> 12 | cost [0.45]
53 --> 50 | cost [0.6]
55 --> 28 | cost [0.66]
60 --> 33 | cost [0.3]
62 --> 33 | cost [0.54]
64 --> 51 | cost [0.87]
65 --> 51 | cost [0.3]
66 --> 59 | cost [0.33]
70 --> 29 | cost [0.18]

B = 3.06
i★ = 51
j★ = 50
k★ = 58

       
——————— Sun, 07 Jan 2024 09:16:21 ————————— seperate y_ij <= y_jj - x_ij on lazy constraints ————————— use blossom = true
BD  —— 32 hubs —— 1-13-31-69-59-63-57-24-2-4-18-32-8-28-14-44-68-9-40-61-34-12-33-54-67-56-51-50-58-37-16-71-1
total time           26.46                gap                  0.0                  
blossom time         2.57                 nb blossom           269.0                
LB <= UB             3427.42<=3427.42     Master/SP costs      3406/21.42           
Master time          25.74                SP time              0.72                 
subtour              151.0                connectivity cuts    247.0                
uc strategy          4                    uc tolerance         0.01                 
opt. cuts            25.0                 SP method            poly                 
tildeV               2:70                 inst transformation  2                    
2-opt strategy       0                                                              
explored nodes       828                  
F                    7.0                  
                                          o_i                  0                                                              
                                          
Found solution
RING NODES
1—13—31—69—59—63—57—24—2—4—18—32—8—28—14—44—68—9—40—61—34—12—33—54—67—56—51—50—58—37—16—71

RING
1  --- 13 | cost [105.0]
1  --- 71 | cost [0.0]
2  ---  4 | cost [63.0]
2  --- 24 | cost [140.0]
4  --- 18 | cost [28.0]
8  --- 28 | cost [28.0]
8  --- 32 | cost [91.0]
9  --- 40 | cost [77.0]
9  --- 68 | cost [126.0]
12 --- 33 | cost [70.0]
12 --- 34 | cost [56.0]
13 --- 31 | cost [42.0]
14 --- 28 | cost [98.0]
14 --- 44 | cost [112.0]
16 --- 37 | cost [84.0]
16 --- 71 | cost [63.0]
18 --- 32 | cost [91.0]
24 --- 57 | cost [49.0]
31 --- 69 | cost [14.0]
33 --- 54 | cost [70.0]
34 --- 61 | cost [161.0]
37 --- 58 | cost [7.0]
40 --- 61 | cost [35.0]
44 --- 68 | cost [28.0]
50 --- 51 | cost [112.0]
50 --- 58 | cost [63.0]
51 --- 56 | cost [63.0]
54 --- 67 | cost [91.0]
56 --- 67 | cost [56.0]
57 --- 63 | cost [98.0]
59 --- 63 | cost [42.0]
59 --- 69 | cost [70.0]

STAR
3  --> 32 | cost [18.0]
5  --> 50 | cost [33.0]
6  --> 18 | cost [30.0]
7  -->  2 | cost [15.0]
10 --> 50 | cost [27.0]
11 --> 67 | cost [27.0]
15 --> 24 | cost [12.0]
17 --> 34 | cost [45.0]
19 -->  2 | cost [39.0]
20 --> 14 | cost [21.0]
21 --> 34 | cost [3.0]
22 --> 63 | cost [12.0]
23 -->  1 | cost [27.0]
25 --> 40 | cost [51.0]
26 -->  8 | cost [24.0]
27 --> 40 | cost [39.0]
29 --> 13 | cost [6.0]
30 --> 14 | cost [30.0]
35 --> 69 | cost [36.0]
36 -->  1 | cost [12.0]
38 --> 59 | cost [24.0]
39 --> 61 | cost [27.0]
41 --> 18 | cost [42.0]
42 --> 18 | cost [18.0]
43 --> 68 | cost [45.0]
45 --> 40 | cost [27.0]
46 --> 40 | cost [42.0]
47 --> 16 | cost [18.0]
48 --> 67 | cost [15.0]
49 --> 28 | cost [42.0]
52 --> 50 | cost [39.0]
53 --> 58 | cost [63.0]
55 -->  8 | cost [63.0]
60 --> 12 | cost [27.0]
62 --> 54 | cost [33.0]
64 --> 56 | cost [81.0]
65 --> 56 | cost [24.0]
66 --> 63 | cost [18.0]
70 --> 31 | cost [18.0]

BACKUP RING
1  --- 31 | cost [1.4000000000000001]
2  --- 18 | cost [0.84]
2  --- 57 | cost [1.61]
4  --- 24 | cost [1.68]
4  --- 32 | cost [0.98]
8  --- 14 | cost [1.19]
8  --- 18 | cost [1.75]
9  --- 44 | cost [1.61]
9  --- 61 | cost [0.91]
12 --- 54 | cost [1.33]
12 --- 61 | cost [2.17]
13 --- 69 | cost [0.56]
14 --- 68 | cost [1.33]
16 --- 58 | cost [0.91]
24 --- 63 | cost [1.47]
28 --- 32 | cost [1.12]
28 --- 44 | cost [1.75]
31 --- 59 | cost [0.84]
33 --- 34 | cost [0.98]
33 --- 67 | cost [1.12]
34 --- 40 | cost [1.82]
37 --- 50 | cost [0.7000000000000001]
37 --- 71 | cost [1.47]
40 --- 68 | cost [1.96]
50 --- 56 | cost [1.75]
51 --- 58 | cost [1.68]
51 --- 67 | cost [1.19]
54 --- 56 | cost [1.4000000000000001]
57 --- 59 | cost [1.26]
63 --- 69 | cost [1.12]

BACKUP STAR
3  -->  8 | cost [0.36]
5  --> 58 | cost [0.45]
6  -->  4 | cost [0.42]
7  --> 32 | cost [0.3]
10 --> 58 | cost [0.48]
11 --> 56 | cost [0.27]
15 --> 57 | cost [0.21]
17 -->  9 | cost [0.48]
19 --> 24 | cost [0.6]
20 --> 28 | cost [0.5700000000000001]
21 --> 12 | cost [0.24]
22 --> 59 | cost [0.18]
25 --> 61 | cost [0.54]
26 --> 28 | cost [0.33]
27 -->  9 | cost [0.42]
29 --> 31 | cost [0.21]
30 --> 44 | cost [0.45]
35 --> 31 | cost [0.39]
38 --> 69 | cost [0.27]
39 --> 40 | cost [0.36]
41 -->  4 | cost [0.54]
42 -->  4 | cost [0.33]
43 -->  9 | cost [0.51]
45 --> 61 | cost [0.3]
46 -->  9 | cost [0.5700000000000001]
47 --> 37 | cost [0.3]
48 --> 54 | cost [0.39]
49 -->  8 | cost [0.42]
52 --> 12 | cost [0.45]
53 --> 50 | cost [0.6]
55 --> 28 | cost [0.66]
60 --> 33 | cost [0.3]
62 --> 33 | cost [0.54]
64 --> 51 | cost [0.87]
65 --> 51 | cost [0.3]
66 --> 59 | cost [0.33]
70 --> 13 | cost [0.18]

B = 3.06
i★ = 51
j★ = 50
k★ = 58