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                        α=7.0 —— brazil58 —— 58 nodes       
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——————— Sun, 14 Jan 2024 22:15:54 ————————— seperate y_ij <= y_jj - x_ij on lazy constraints ————————— use blossom = false
ILP ——— 3 hubs —— 1—44—59
total time           1300.96              gap                  0.0                  
blossom time         0                    nb blossom           0.0                  
LB <= UB             117491.78<=117491.78 subtour              5874.0               
connectivity cuts    0.0                  uc strategy          0                    
uc tolerance         0.01                 tildeV               2:58                 
2-opt strategy       0                                                              
explored_nodes       2193                 n lazycuts edges     1.0                  
F                    7.0                  post procedure       true                 
o_i                  0                                                                                                                                                  
Found solution
RING NODES
1—44—59

RING
1  --- 44 | cost [2569.0]
5  --- 27 | cost [1820.0]
5  --- 54 | cost [3458.0]
6  --- 17 | cost [1750.0]
6  --- 26 | cost [868.0]
10 --- 35 | cost [525.0]
10 --- 51 | cost [686.0]
11 --- 16 | cost [4851.0]
11 --- 39 | cost [3185.0]
16 --- 22 | cost [6524.0]
17 --- 36 | cost [798.0]
20 --- 32 | cost [3759.0]
20 --- 40 | cost [5600.0]
22 --- 55 | cost [2513.0]
25 --- 32 | cost [1330.0]
25 --- 40 | cost [875.0]
26 --- 36 | cost [1701.0]
27 --- 43 | cost [1288.0]
34 --- 37 | cost [1799.0]
34 --- 46 | cost [1603.0]
35 --- 39 | cost [2303.0]
37 --- 45 | cost [2394.0]
43 --- 49 | cost [2373.0]
44 --- 59 | cost [2569.0]
45 --- 46 | cost [1911.0]
47 --- 49 | cost [602.0]
47 --- 51 | cost [504.0]
54 --- 55 | cost [784.0]

STAR
2  --> 54 | cost [411.0]
3  --> 35 | cost [474.0]
4  --> 20 | cost [4713.0]
7  --> 16 | cost [9426.0]
8  --> 22 | cost [627.0]
9  --> 25 | cost [390.0]
12 --> 27 | cost [771.0]
13 --> 40 | cost [405.0]
14 --> 37 | cost [411.0]
15 --> 34 | cost [786.0]
18 --> 44 | cost [342.0]
19 -->  6 | cost [414.0]
21 --> 36 | cost [1572.0]
23 -->  5 | cost [972.0]
24 --> 44 | cost [1356.0]
28 -->  6 | cost [567.0]
29 --> 36 | cost [822.0]
30 --> 40 | cost [771.0]
31 --> 16 | cost [7071.0]
33 --> 45 | cost [639.0]
38 --> 16 | cost [4368.0]
41 --> 35 | cost [444.0]
42 --> 16 | cost [5970.0]
48 --> 54 | cost [717.0]
50 --> 20 | cost [3210.0]
52 --> 10 | cost [240.0]
53 --> 20 | cost [1902.0]
56 --> 46 | cost [762.0]
57 --> 27 | cost [1494.0]
58 --> 44 | cost [1566.0]

BACKUP RING
1  --- 59 | cost [0.0]
5  --- 43 | cost [30.38]
5  --- 55 | cost [38.99]
6  --- 36 | cost [25.48]
10 --- 39 | cost [39.2]
10 --- 47 | cost [11.9]
11 --- 22 | cost [68.18]
11 --- 35 | cost [65.87]
16 --- 39 | cost [80.08]
16 --- 55 | cost [74.34]
17 --- 26 | cost [9.03]
20 --- 25 | cost [48.51]
22 --- 54 | cost [32.13]
27 --- 49 | cost [36.61]
27 --- 54 | cost [52.78]
32 --- 40 | cost [20.79]
34 --- 45 | cost [24.78]
35 --- 51 | cost [11.97]
37 --- 46 | cost [34.44]
43 --- 47 | cost [38.78]
49 --- 51 | cost [6.79]

BACKUP STAR
2  --> 55 | cost [7.0200000000000005]
3  --> 10 | cost [6.51]
4  --> 22 | cost [60.39]
7  --> 11 | cost [114.9]
8  --> 55 | cost [13.08]
9  --> 40 | cost [5.5200000000000005]
12 --> 43 | cost [8.370000000000001]
13 --> 25 | cost [6.0]
14 -->  6 | cost [10.41]
15 --> 37 | cost [15.84]
18 -->  1 | cost [9.9]
19 --> 26 | cost [5.34]
21 --> 39 | cost [18.21]
23 --> 27 | cost [16.62]
24 -->  1 | cost [20.07]
28 --> 37 | cost [10.77]
29 --> 35 | cost [10.620000000000001]
30 -->  1 | cost [9.21]
31 --> 11 | cost [91.35000000000001]
33 --> 37 | cost [8.700000000000001]
38 --> 11 | cost [64.47]
41 --> 54 | cost [5.5200000000000005]
42 --> 11 | cost [80.64]
48 --> 35 | cost [8.61]
50 --> 40 | cost [47.46]
52 --> 51 | cost [3.06]
53 --> 40 | cost [34.38]
56 --> 34 | cost [9.0]
57 -->  5 | cost [15.72]
58 -->  1 | cost [22.17]

B = 419.53999999999996
i★ = 11
j★ = 16
k★ = 22