------------------------------------------------------------
                           α=7.0 —— rat99 —— 99 nodes       
------------------------------------------------------------

——————— Mon, 08 Jan 2024 16:41:13 ————————— seperate y_ij <= y_jj - x_ij on lazy constraints ————————— use blossom = false
BD  —— 43 hubs —— 1-4-5-6-16-25-26-35-34-43-42-51-52-53-62-71-70-69-78-79-88-87-86-85-84-83-73-74-65-56-57-47-48-39-38-29-30-21-22-13-12-2-100-1
total time           354.48               gap                  0.0                  
blossom time         0                    nb blossom           0.0                  
LB <= UB             6587.28<=6587.28     Master/SP costs      6436/151.28          
Master time          329.25               SP time              25.23                
subtour              614.0                connectivity cuts    2000.0               
uc strategy          4                    uc tolerance         0.01                 
opt. cuts            158.0                SP method            poly                 
tildeV               2:99                 inst transformation  2                    
2-opt strategy       0                                                              
explored nodes       19273                
F                    31.0                 
                                          o_i                  0                                                              
                                          
Found solution
RING NODES
1—4—5—6—16—25—26—35—34—43—42—51—52—53—62—71—70—69—78—79—88—87—86—85—84—83—73—74—65—56—57—47—48—39—38—29—30—21—22—13—12—2—100

RING
1  ---  4 | cost [196.0]
1  --- 100 | cost [0.0]
2  --- 12 | cost [91.0]
2  --- 100 | cost [98.0]
4  ---  5 | cost [105.0]
5  ---  6 | cost [63.0]
6  --- 16 | cost [161.0]
12 --- 13 | cost [91.0]
13 --- 22 | cost [98.0]
16 --- 25 | cost [98.0]
21 --- 22 | cost [42.0]
21 --- 30 | cost [126.0]
25 --- 26 | cost [70.0]
26 --- 35 | cost [84.0]
29 --- 30 | cost [77.0]
29 --- 38 | cost [119.0]
34 --- 35 | cost [119.0]
34 --- 43 | cost [42.0]
38 --- 39 | cost [63.0]
39 --- 48 | cost [28.0]
42 --- 43 | cost [56.0]
42 --- 51 | cost [147.0]
47 --- 48 | cost [105.0]
47 --- 57 | cost [147.0]
51 --- 52 | cost [63.0]
52 --- 53 | cost [56.0]
53 --- 62 | cost [147.0]
56 --- 57 | cost [56.0]
56 --- 65 | cost [91.0]
62 --- 71 | cost [119.0]
65 --- 74 | cost [105.0]
69 --- 70 | cost [63.0]
69 --- 78 | cost [84.0]
70 --- 71 | cost [49.0]
73 --- 74 | cost [119.0]
73 --- 83 | cost [147.0]
78 --- 79 | cost [98.0]
79 --- 88 | cost [98.0]
83 --- 84 | cost [112.0]
84 --- 85 | cost [70.0]
85 --- 86 | cost [77.0]
86 --- 87 | cost [77.0]
87 --- 88 | cost [56.0]

STAR
3  --> 12 | cost [21.0]
7  -->  6 | cost [33.0]
8  -->  6 | cost [60.0]
9  -->  6 | cost [87.0]
10 -->  2 | cost [33.0]
11 --> 12 | cost [18.0]
14 -->  5 | cost [36.0]
15 --> 16 | cost [30.0]
17 --> 16 | cost [39.0]
18 --> 16 | cost [66.0]
19 --> 21 | cost [75.0]
20 --> 21 | cost [54.0]
23 --> 22 | cost [42.0]
24 --> 25 | cost [27.0]
27 --> 35 | cost [39.0]
28 --> 29 | cost [39.0]
31 --> 30 | cost [36.0]
32 --> 42 | cost [54.0]
33 --> 34 | cost [36.0]
36 --> 35 | cost [33.0]
37 --> 29 | cost [27.0]
40 --> 39 | cost [18.0]
41 --> 42 | cost [42.0]
44 --> 34 | cost [39.0]
45 --> 53 | cost [51.0]
46 --> 47 | cost [24.0]
49 --> 57 | cost [54.0]
50 --> 51 | cost [36.0]
54 --> 53 | cost [42.0]
55 --> 47 | cost [51.0]
58 --> 57 | cost [39.0]
59 --> 57 | cost [63.0]
60 --> 51 | cost [42.0]
61 --> 62 | cost [27.0]
63 --> 62 | cost [48.0]
64 --> 65 | cost [42.0]
66 --> 65 | cost [33.0]
67 --> 78 | cost [57.0]
68 --> 78 | cost [42.0]
72 --> 71 | cost [39.0]
75 --> 74 | cost [42.0]
76 --> 85 | cost [30.0]
77 --> 78 | cost [30.0]
80 --> 71 | cost [30.0]
81 --> 71 | cost [51.0]
82 --> 83 | cost [36.0]
89 --> 88 | cost [45.0]
90 --> 88 | cost [69.0]
91 --> 83 | cost [48.0]
92 --> 83 | cost [63.0]
93 --> 83 | cost [48.0]
94 --> 86 | cost [72.0]
95 --> 86 | cost [24.0]
96 --> 87 | cost [57.0]
97 --> 87 | cost [45.0]
98 --> 87 | cost [78.0]
99 --> 88 | cost [81.0]

BACKUP RING
1  ---  5 | cost [3.0100000000000002]
2  --- 13 | cost [1.82]
4  ---  6 | cost [1.68]
5  --- 16 | cost [2.0300000000000002]
6  --- 25 | cost [2.59]
12 --- 22 | cost [1.82]
12 --- 100 | cost [1.8900000000000001]
13 --- 21 | cost [1.26]
16 --- 26 | cost [1.54]
21 --- 29 | cost [1.96]
22 --- 30 | cost [1.68]
25 --- 35 | cost [1.54]
26 --- 34 | cost [1.61]
29 --- 39 | cost [1.61]
30 --- 38 | cost [1.75]
34 --- 42 | cost [0.91]
35 --- 43 | cost [1.61]
38 --- 48 | cost [0.77]
39 --- 47 | cost [1.26]
42 --- 52 | cost [1.61]
43 --- 51 | cost [1.82]
47 --- 56 | cost [1.61]
48 --- 57 | cost [1.8900000000000001]
51 --- 53 | cost [1.12]
52 --- 62 | cost [1.75]
53 --- 71 | cost [2.66]
56 --- 74 | cost [1.96]
57 --- 65 | cost [1.33]
62 --- 70 | cost [1.26]
65 --- 73 | cost [2.24]
69 --- 71 | cost [1.12]
69 --- 79 | cost [1.54]
70 --- 78 | cost [1.33]
73 --- 84 | cost [1.82]
74 --- 83 | cost [2.38]
78 --- 88 | cost [1.68]
79 --- 87 | cost [1.54]
83 --- 85 | cost [1.82]
84 --- 86 | cost [1.33]
85 --- 87 | cost [1.4000000000000001]
86 --- 88 | cost [1.26]

BACKUP STAR
3  -->  2 | cost [0.27]
7  -->  5 | cost [0.5700000000000001]
8  -->  5 | cost [0.87]
9  --> 16 | cost [0.9]
10 -->  1 | cost [0.51]
11 -->  2 | cost [0.33]
14 -->  4 | cost [0.45]
15 --> 25 | cost [0.51]
17 --> 25 | cost [0.54]
18 --> 25 | cost [0.81]
19 --> 30 | cost [0.75]
20 --> 12 | cost [0.66]
23 --> 25 | cost [0.51]
24 --> 26 | cost [0.51]
27 --> 26 | cost [0.48]
28 --> 30 | cost [0.54]
31 --> 21 | cost [0.5700000000000001]
32 --> 30 | cost [0.66]
33 --> 42 | cost [0.36]
36 --> 34 | cost [0.66]
37 --> 38 | cost [0.51]
40 --> 48 | cost [0.27]
41 --> 39 | cost [0.6]
44 --> 43 | cost [0.42]
45 --> 52 | cost [0.6]
46 --> 38 | cost [0.54]
49 --> 48 | cost [0.63]
50 --> 42 | cost [0.63]
54 --> 52 | cost [0.63]
55 --> 56 | cost [0.54]
58 --> 56 | cost [0.5700000000000001]
59 --> 69 | cost [0.6900000000000001]
60 --> 52 | cost [0.5700000000000001]
61 --> 70 | cost [0.48]
63 --> 53 | cost [0.63]
64 --> 56 | cost [0.5700000000000001]
66 --> 74 | cost [0.45]
67 --> 69 | cost [0.5700000000000001]
68 --> 69 | cost [0.48]
72 --> 70 | cost [0.6]
75 --> 84 | cost [0.6]
76 --> 84 | cost [0.42]
77 --> 85 | cost [0.51]
80 --> 70 | cost [0.36]
81 --> 70 | cost [0.6900000000000001]
82 --> 73 | cost [0.54]
89 --> 87 | cost [0.6]
90 --> 79 | cost [0.84]
91 --> 84 | cost [0.9]
92 --> 84 | cost [0.96]
93 --> 84 | cost [0.66]
94 --> 83 | cost [0.84]
95 --> 87 | cost [0.39]
96 --> 86 | cost [0.66]
97 --> 88 | cost [0.54]
98 --> 88 | cost [0.81]
99 --> 87 | cost [0.9]

B = 4.880000000000001
i★ = 73
j★ = 83
k★ = 84

       
——————— Thu, 11 Jan 2024 18:36:15 ————————— seperate y_ij <= y_jj - x_ij on lazy constraints ————————— use blossom = false
ILP ——— 25 hubs —— 1—4—14—26—33—51—60—62—71—70—69—68—90—89—95—85—74—65—64—47—40—29—28—11—100
total time           3635.86 (TL 3600)    gap                  0.481                
blossom time         0                    nb blossom           0.0                  
LB <= UB             6059.55<=11682.76    subtour              840.0                
connectivity cuts    0.0                  uc strategy          0                    
uc tolerance         0.01                 tildeV               2:99                 
2-opt strategy       0                                                              
explored_nodes       165                  n lazycuts edges     0.0                  
F                    31.0                 post procedure       true                 
o_i                  0                                                                                                                                                  
Found solution
RING NODES
1—4—14—26—33—51—60—62—71—70—69—68—90—89—95—85—74—65—64—47—40—29—28—11—100

RING
1  ---  4 | cost [196.0]
4  --- 14 | cost [105.0]
11 --- 28 | cost [336.0]
11 --- 100 | cost [175.0]
14 --- 26 | cost [308.0]
26 --- 33 | cost [182.0]
28 --- 29 | cost [91.0]
29 --- 40 | cost [175.0]
33 --- 51 | cost [231.0]
40 --- 47 | cost [168.0]
47 --- 64 | cost [259.0]
51 --- 60 | cost [98.0]
60 --- 62 | cost [154.0]
62 --- 71 | cost [119.0]
64 --- 65 | cost [98.0]
65 --- 74 | cost [105.0]
68 --- 69 | cost [112.0]
68 --- 90 | cost [392.0]
69 --- 70 | cost [63.0]
70 --- 71 | cost [49.0]
74 --- 85 | cost [245.0]
85 --- 95 | cost [126.0]
89 --- 90 | cost [56.0]
89 --- 95 | cost [224.0]

STAR
2  -->  1 | cost [42.0]
3  -->  1 | cost [69.0]
5  --> 14 | cost [36.0]
6  --> 14 | cost [51.0]
7  --> 14 | cost [81.0]
8  --> 14 | cost [108.0]
9  --> 14 | cost [132.0]
10 -->  1 | cost [51.0]
12 --> 14 | cost [60.0]
13 --> 14 | cost [48.0]
15 --> 14 | cost [51.0]
16 --> 14 | cost [78.0]
17 --> 14 | cost [114.0]
18 --> 14 | cost [138.0]
19 -->  1 | cost [147.0]
20 --> 14 | cost [111.0]
21 --> 14 | cost [102.0]
22 --> 14 | cost [84.0]
23 --> 14 | cost [69.0]
24 --> 14 | cost [93.0]
25 --> 26 | cost [30.0]
27 --> 14 | cost [168.0]
30 --> 14 | cost [153.0]
31 --> 14 | cost [147.0]
32 --> 11 | cost [177.0]
34 --> 28 | cost [186.0]
35 --> 14 | cost [168.0]
36 --> 14 | cost [201.0]
37 --> 60 | cost [186.0]
38 --> 65 | cost [156.0]
39 --> 28 | cost [102.0]
41 --> 40 | cost [42.0]
42 --> 28 | cost [168.0]
43 --> 71 | cost [201.0]
44 --> 14 | cost [207.0]
45 --> 26 | cost [129.0]
46 --> 40 | cost [90.0]
48 --> 40 | cost [27.0]
49 --> 65 | cost [108.0]
50 --> 65 | cost [150.0]
52 --> 51 | cost [27.0]
53 --> 51 | cost [48.0]
54 --> 65 | cost [243.0]
55 --> 65 | cost [81.0]
56 --> 65 | cost [39.0]
57 --> 65 | cost [57.0]
58 --> 65 | cost [78.0]
59 --> 65 | cost [84.0]
61 --> 70 | cost [48.0]
63 --> 71 | cost [78.0]
66 --> 65 | cost [33.0]
67 --> 69 | cost [57.0]
72 --> 71 | cost [39.0]
73 --> 65 | cost [96.0]
75 --> 65 | cost [72.0]
76 --> 95 | cost [87.0]
77 --> 69 | cost [63.0]
78 --> 69 | cost [36.0]
79 --> 69 | cost [66.0]
80 --> 68 | cost [93.0]
81 --> 69 | cost [90.0]
82 --> 95 | cost [138.0]
83 --> 95 | cost [102.0]
84 --> 95 | cost [72.0]
86 --> 95 | cost [24.0]
87 --> 95 | cost [39.0]
88 --> 95 | cost [66.0]
91 --> 95 | cost [120.0]
92 --> 95 | cost [114.0]
93 --> 95 | cost [78.0]
94 --> 95 | cost [54.0]
96 --> 95 | cost [45.0]
97 --> 95 | cost [57.0]
98 --> 90 | cost [51.0]
99 --> 90 | cost [30.0]

BACKUP RING
1  --- 14 | cost [2.94]
4  --- 26 | cost [4.13]
11 --- 29 | cost [3.64]
14 --- 33 | cost [3.85]
26 --- 51 | cost [3.85]
28 --- 40 | cost [2.66]
28 --- 100 | cost [4.76]
29 --- 47 | cost [2.31]
33 --- 60 | cost [3.22]
40 --- 64 | cost [3.99]
47 --- 65 | cost [2.52]
51 --- 62 | cost [1.96]
60 --- 71 | cost [2.38]
62 --- 70 | cost [1.26]
64 --- 74 | cost [1.33]
65 --- 85 | cost [3.22]
68 --- 70 | cost [1.75]
68 --- 89 | cost [3.43]
69 --- 71 | cost [1.12]
69 --- 90 | cost [3.43]
74 --- 95 | cost [3.71]
85 --- 89 | cost [2.73]
90 --- 95 | cost [2.73]

BACKUP STAR
5  -->  4 | cost [0.45]
6  -->  4 | cost [0.72]
7  -->  4 | cost [1.02]
8  -->  4 | cost [1.32]
9  --> 26 | cost [1.35]
12 --> 11 | cost [0.18]
13 --> 11 | cost [0.51]
15 --> 26 | cost [0.81]
16 --> 26 | cost [0.66]
17 --> 26 | cost [0.5700000000000001]
18 --> 26 | cost [0.81]
20 --> 11 | cost [0.5700000000000001]
21 --> 29 | cost [0.84]
22 --> 11 | cost [0.84]
23 --> 26 | cost [0.78]
24 --> 26 | cost [0.51]
25 --> 33 | cost [0.87]
27 --> 26 | cost [0.48]
30 --> 29 | cost [0.33]
31 --> 29 | cost [0.6]
32 --> 33 | cost [0.36]
34 --> 33 | cost [0.36]
35 --> 26 | cost [0.36]
36 --> 26 | cost [0.6900000000000001]
37 --> 28 | cost [0.27]
38 --> 40 | cost [0.45]
39 --> 40 | cost [0.18]
41 --> 33 | cost [0.48]
42 --> 33 | cost [0.36]
43 --> 33 | cost [0.39]
44 --> 33 | cost [0.75]
45 --> 51 | cost [0.84]
46 --> 47 | cost [0.24]
48 --> 47 | cost [0.45]
49 --> 60 | cost [0.48]
50 --> 51 | cost [0.36]
52 --> 60 | cost [0.5700000000000001]
53 --> 62 | cost [0.63]
54 --> 62 | cost [0.87]
55 --> 47 | cost [0.51]
56 --> 64 | cost [0.5700000000000001]
57 --> 47 | cost [0.63]
58 --> 60 | cost [0.5700000000000001]
59 --> 60 | cost [0.54]
61 --> 62 | cost [0.27]
63 --> 62 | cost [0.48]
66 --> 74 | cost [0.45]
67 --> 68 | cost [0.15]
72 --> 70 | cost [0.6]
73 --> 74 | cost [0.51]
75 --> 74 | cost [0.42]
76 --> 85 | cost [0.3]
77 --> 68 | cost [0.45]
78 --> 68 | cost [0.42]
79 --> 89 | cost [0.66]
80 --> 71 | cost [0.3]
81 --> 71 | cost [0.51]
82 --> 74 | cost [1.05]
83 --> 85 | cost [0.78]
84 --> 85 | cost [0.3]
86 --> 85 | cost [0.33]
87 --> 85 | cost [0.6]
88 --> 89 | cost [0.45]
91 --> 85 | cost [1.1400000000000001]
92 --> 85 | cost [1.2]
93 --> 85 | cost [0.84]
94 --> 85 | cost [0.87]
96 --> 89 | cost [0.84]
97 --> 89 | cost [0.51]
98 --> 89 | cost [0.51]
99 --> 89 | cost [0.42]

B = 19.28
i★ = 4
j★ = 14
k★ = 26

       
——————— Thu, 11 Jan 2024 19:37:28 ————————— seperate y_ij <= y_jj - x_ij on lazy constraints ————————— use blossom = false
BD  —— 46 hubs —— 1-2-23-22-21-30-29-48-39-49-58-57-56-65-66-68-71-70-79-73-92-91-93-86-88-95-97-98-90-99-62-53-52-42-43-34-35-26-17-16-24-15-6-5-4-100-1
total time           3606.92 (TL 3600)    gap                  0.298                
blossom time         0                    nb blossom           0.0                  
LB <= UB             5938.54<=8460.05     Master/SP costs      8226/234.05          
Master time          3600.32              SP time              6.6                  
subtour              33847.0              connectivity cuts    0.0                  
uc strategy          0                    uc tolerance         0.01                 
opt. cuts            21.0                 SP method            poly                 
tildeV               2:99                 inst transformation  2                    
2-opt strategy       0                                                              
explored nodes       23064                
F                    31.0                 
                                          o_i                  0                                                              
                                          
Found solution
RING NODES
1—2—23—22—21—30—29—48—39—49—58—57—56—65—66—68—71—70—79—73—92—91—93—86—88—95—97—98—90—99—62—53—52—42—43—34—35—26—17—16—24—15—6—5—4—100

RING
1  ---  2 | cost [98.0]
2  --- 23 | cost [315.0]
4  ---  5 | cost [105.0]
4  --- 100 | cost [196.0]
5  ---  6 | cost [63.0]
6  --- 15 | cost [147.0]
15 --- 24 | cost [119.0]
16 --- 17 | cost [91.0]
16 --- 24 | cost [133.0]
17 --- 26 | cost [133.0]
21 --- 22 | cost [42.0]
21 --- 30 | cost [126.0]
22 --- 23 | cost [98.0]
26 --- 35 | cost [84.0]
29 --- 30 | cost [77.0]
29 --- 48 | cost [182.0]
34 --- 35 | cost [119.0]
34 --- 43 | cost [42.0]
39 --- 48 | cost [28.0]
39 --- 49 | cost [168.0]
42 --- 43 | cost [56.0]
42 --- 52 | cost [161.0]
49 --- 58 | cost [84.0]
52 --- 53 | cost [56.0]
53 --- 62 | cost [147.0]
56 --- 57 | cost [56.0]
56 --- 65 | cost [91.0]
57 --- 58 | cost [91.0]
62 --- 99 | cost [497.0]
65 --- 66 | cost [77.0]
66 --- 68 | cost [126.0]
68 --- 71 | cost [224.0]
70 --- 71 | cost [49.0]
70 --- 79 | cost [161.0]
73 --- 79 | cost [420.0]
73 --- 92 | cost [287.0]
86 --- 88 | cost [126.0]
86 --- 93 | cost [196.0]
88 --- 95 | cost [154.0]
90 --- 98 | cost [119.0]
90 --- 99 | cost [70.0]
91 --- 92 | cost [49.0]
91 --- 93 | cost [98.0]
95 --- 97 | cost [133.0]
97 --- 98 | cost [91.0]

STAR
3  -->  2 | cost [27.0]
7  -->  6 | cost [33.0]
8  -->  6 | cost [60.0]
9  --> 17 | cost [75.0]
10 -->  2 | cost [33.0]
11 -->  2 | cost [33.0]
12 -->  2 | cost [39.0]
13 --> 22 | cost [42.0]
14 -->  5 | cost [36.0]
18 --> 17 | cost [30.0]
19 --> 30 | cost [75.0]
20 --> 21 | cost [54.0]
25 --> 26 | cost [30.0]
27 --> 35 | cost [39.0]
28 --> 29 | cost [39.0]
31 --> 30 | cost [36.0]
32 --> 42 | cost [54.0]
33 --> 42 | cost [36.0]
36 --> 35 | cost [33.0]
37 --> 29 | cost [27.0]
38 --> 39 | cost [27.0]
40 --> 39 | cost [18.0]
41 --> 42 | cost [42.0]
44 --> 34 | cost [39.0]
45 --> 53 | cost [51.0]
46 --> 48 | cost [63.0]
47 --> 48 | cost [45.0]
50 --> 49 | cost [42.0]
51 --> 52 | cost [27.0]
54 --> 53 | cost [42.0]
55 --> 56 | cost [54.0]
59 --> 58 | cost [24.0]
60 --> 49 | cost [48.0]
61 --> 62 | cost [27.0]
63 --> 62 | cost [48.0]
64 --> 65 | cost [42.0]
67 --> 68 | cost [15.0]
69 --> 70 | cost [27.0]
72 --> 71 | cost [39.0]
74 --> 66 | cost [45.0]
75 --> 66 | cost [48.0]
76 --> 68 | cost [60.0]
77 --> 68 | cost [45.0]
78 --> 88 | cost [72.0]
80 --> 70 | cost [36.0]
81 --> 71 | cost [51.0]
82 --> 91 | cost [51.0]
83 --> 91 | cost [48.0]
84 --> 86 | cost [57.0]
85 --> 86 | cost [33.0]
87 --> 86 | cost [33.0]
89 --> 90 | cost [24.0]
94 --> 95 | cost [54.0]
96 --> 97 | cost [33.0]

BACKUP RING
1  --- 23 | cost [4.13]
2  --- 22 | cost [2.66]
4  ---  6 | cost [1.68]
5  --- 15 | cost [1.68]
5  --- 100 | cost [3.0100000000000002]
6  --- 24 | cost [2.66]
15 --- 16 | cost [0.7000000000000001]
16 --- 26 | cost [1.54]
17 --- 24 | cost [1.82]
17 --- 35 | cost [1.96]
21 --- 23 | cost [1.4000000000000001]
21 --- 29 | cost [1.96]
22 --- 30 | cost [1.68]
26 --- 34 | cost [1.61]
29 --- 39 | cost [1.61]
30 --- 48 | cost [2.24]
34 --- 42 | cost [0.91]
35 --- 43 | cost [1.61]
39 --- 58 | cost [2.38]
42 --- 53 | cost [2.0300000000000002]
43 --- 52 | cost [1.75]
48 --- 49 | cost [1.47]
49 --- 57 | cost [1.26]
52 --- 62 | cost [1.75]
53 --- 99 | cost [6.44]
56 --- 58 | cost [1.33]
56 --- 66 | cost [1.47]
57 --- 65 | cost [1.33]
62 --- 90 | cost [4.2700000000000005]
65 --- 68 | cost [1.96]
66 --- 71 | cost [3.36]
68 --- 70 | cost [1.75]
70 --- 73 | cost [4.62]
71 --- 79 | cost [1.68]
73 --- 91 | cost [2.38]
79 --- 92 | cost [4.76]
86 --- 91 | cost [2.87]
86 --- 95 | cost [0.56]
88 --- 93 | cost [3.29]
88 --- 97 | cost [1.26]
90 --- 97 | cost [1.54]
92 --- 93 | cost [0.84]
95 --- 98 | cost [2.24]
98 --- 99 | cost [0.63]

BACKUP STAR
3  -->  4 | cost [0.33]
7  -->  5 | cost [0.5700000000000001]
8  -->  5 | cost [0.87]
9  -->  6 | cost [0.87]
10 -->  1 | cost [0.51]
11 -->  4 | cost [0.63]
12 -->  4 | cost [0.48]
13 --> 21 | cost [0.54]
14 -->  4 | cost [0.45]
18 --> 16 | cost [0.66]
19 --> 21 | cost [0.75]
20 --> 22 | cost [0.66]
25 --> 24 | cost [0.27]
27 --> 26 | cost [0.48]
28 --> 30 | cost [0.54]
31 --> 21 | cost [0.5700000000000001]
32 --> 30 | cost [0.66]
33 --> 34 | cost [0.36]
36 --> 34 | cost [0.66]
37 --> 30 | cost [0.5700000000000001]
38 --> 48 | cost [0.33]
40 --> 48 | cost [0.27]
41 --> 39 | cost [0.6]
44 --> 43 | cost [0.42]
45 --> 52 | cost [0.6]
46 --> 39 | cost [0.72]
47 --> 39 | cost [0.54]
50 --> 42 | cost [0.63]
51 --> 53 | cost [0.48]
54 --> 52 | cost [0.63]
55 --> 57 | cost [0.66]
59 --> 49 | cost [0.54]
60 --> 52 | cost [0.5700000000000001]
61 --> 70 | cost [0.48]
63 --> 53 | cost [0.63]
64 --> 56 | cost [0.5700000000000001]
67 --> 66 | cost [0.39]
69 --> 68 | cost [0.48]
72 --> 70 | cost [0.6]
74 --> 65 | cost [0.45]
75 --> 68 | cost [0.6]
76 --> 86 | cost [0.63]
77 --> 79 | cost [0.5700000000000001]
78 --> 68 | cost [0.42]
80 --> 71 | cost [0.3]
81 --> 70 | cost [0.6900000000000001]
82 --> 73 | cost [0.54]
83 --> 93 | cost [0.48]
84 --> 93 | cost [0.66]
85 --> 95 | cost [0.54]
87 --> 88 | cost [0.24]
89 --> 99 | cost [0.42]
94 --> 93 | cost [0.39]
96 --> 95 | cost [0.45]

B = 7.55
i★ = 53
j★ = 62
k★ = 99