------------------------------------------------------------
                        α=5.0 —— kroA100 —— 100 nodes       
------------------------------------------------------------

——————— Mon, 08 Jan 2024 11:58:26 ————————— seperate y_ij <= y_jj - x_ij on lazy constraints ————————— use blossom = false
BD  —— 83 hubs —— 1-63-6-49-92-8-42-89-31-80-56-97-75-19-4-65-66-70-22-16-88-53-79-18-24-38-36-84-10-72-21-74-17-15-11-32-91-98-23-60-62-86-27-12-20-57-7-55-83-34-29-46-3-14-71-100-48-30-39-96-78-5-37-33-13-95-82-50-68-73-44-2-54-40-64-69-81-25-61-58-28-93-101-1
total time           101.87               gap                  0.0                  
blossom time         0                    nb blossom           0.0                  
LB <= UB             101068.35<=101068.35 Master/SP costs      100795/273.35        
Master time          98.48                SP time              3.39                 
subtour              1807.0               connectivity cuts    1516.0               
uc strategy          4                    uc tolerance         0.01                 
opt. cuts            16.0                 SP method            poly                 
tildeV               2:100                inst transformation  2                    
2-opt strategy       0                                                              
explored nodes       1612                 
F                    7.0                  
                                          o_i                  0                                                              
                                          
Found solution
RING NODES
1—63—6—49—92—8—42—89—31—80—56—97—75—19—4—65—66—70—22—16—88—53—79—18—24—38—36—84—10—72—21—74—17—15—11—32—91—98—23—60—62—86—27—12—20—57—7—55—83—34—29—46—3—14—71—100—48—30—39—96—78—5—37—33—13—95—82—50—68—73—44—2—54—40—64—69—81—25—61—58—28—93—101

RING
1  --- 63 | cost [1440.0]
1  --- 101 | cost [0.0]
2  --- 44 | cost [1285.0]
2  --- 54 | cost [1655.0]
3  --- 14 | cost [1105.0]
3  --- 46 | cost [695.0]
4  --- 19 | cost [1860.0]
4  --- 65 | cost [735.0]
5  --- 37 | cost [345.0]
5  --- 78 | cost [1210.0]
6  --- 49 | cost [235.0]
6  --- 63 | cost [785.0]
7  --- 55 | cost [1320.0]
7  --- 57 | cost [465.0]
8  --- 42 | cost [1240.0]
8  --- 92 | cost [1030.0]
10 --- 72 | cost [1350.0]
10 --- 84 | cost [700.0]
11 --- 15 | cost [565.0]
11 --- 32 | cost [1010.0]
12 --- 20 | cost [770.0]
12 --- 27 | cost [680.0]
13 --- 33 | cost [505.0]
13 --- 95 | cost [1080.0]
14 --- 71 | cost [1340.0]
15 --- 17 | cost [65.0]
16 --- 22 | cost [350.0]
16 --- 88 | cost [290.0]
17 --- 74 | cost [1770.0]
18 --- 24 | cost [905.0]
18 --- 79 | cost [1150.0]
19 --- 75 | cost [1170.0]
20 --- 57 | cost [1020.0]
21 --- 72 | cost [760.0]
21 --- 74 | cost [330.0]
22 --- 70 | cost [930.0]
23 --- 60 | cost [1725.0]
23 --- 98 | cost [540.0]
24 --- 38 | cost [480.0]
25 --- 61 | cost [825.0]
25 --- 81 | cost [255.0]
27 --- 86 | cost [405.0]
28 --- 58 | cost [1515.0]
28 --- 93 | cost [240.0]
29 --- 34 | cost [1505.0]
29 --- 46 | cost [740.0]
30 --- 39 | cost [1305.0]
30 --- 48 | cost [2135.0]
31 --- 80 | cost [435.0]
31 --- 89 | cost [940.0]
32 --- 91 | cost [1075.0]
33 --- 37 | cost [2040.0]
34 --- 83 | cost [730.0]
36 --- 38 | cost [1140.0]
36 --- 84 | cost [1610.0]
39 --- 96 | cost [1420.0]
40 --- 54 | cost [520.0]
40 --- 64 | cost [400.0]
42 --- 89 | cost [900.0]
44 --- 73 | cost [1165.0]
48 --- 100 | cost [1260.0]
49 --- 92 | cost [1760.0]
50 --- 68 | cost [1600.0]
50 --- 82 | cost [2575.0]
53 --- 79 | cost [1115.0]
53 --- 88 | cost [1150.0]
55 --- 83 | cost [115.0]
56 --- 80 | cost [1405.0]
56 --- 97 | cost [1080.0]
58 --- 61 | cost [1625.0]
60 --- 62 | cost [755.0]
62 --- 86 | cost [1540.0]
64 --- 69 | cost [1485.0]
65 --- 66 | cost [575.0]
66 --- 70 | cost [2000.0]
68 --- 73 | cost [1335.0]
69 --- 81 | cost [1515.0]
71 --- 100 | cost [605.0]
75 --- 97 | cost [1185.0]
78 --- 96 | cost [340.0]
82 --- 95 | cost [1225.0]
91 --- 98 | cost [495.0]
93 --- 101 | cost [2065.0]

STAR
9  -->  7 | cost [250.0]
26 --> 65 | cost [1415.0]
35 --> 86 | cost [705.0]
41 --> 71 | cost [415.0]
43 -->  3 | cost [855.0]
45 --> 91 | cost [895.0]
47 --> 32 | cost [1805.0]
51 --> 61 | cost [930.0]
52 --> 78 | cost [200.0]
59 --> 74 | cost [445.0]
67 --> 28 | cost [1505.0]
76 --> 33 | cost [460.0]
77 --> 60 | cost [955.0]
85 --> 68 | cost [765.0]
87 --> 57 | cost [990.0]
90 --> 49 | cost [1040.0]
94 --> 22 | cost [670.0]
99 --> 36 | cost [1500.0]

BACKUP RING
1  ---  6 | cost [19.85]
2  --- 40 | cost [16.85]
2  --- 73 | cost [23.1]
3  --- 29 | cost [10.700000000000001]
3  --- 71 | cost [20.05]
4  --- 66 | cost [10.8]
4  --- 75 | cost [23.85]
5  --- 33 | cost [23.75]
5  --- 96 | cost [12.65]
6  --- 92 | cost [16.45]
7  --- 20 | cost [12.1]
7  --- 83 | cost [13.5]
8  --- 49 | cost [27.650000000000002]
8  --- 89 | cost [20.8]
10 --- 21 | cost [21.0]
10 --- 36 | cost [22.05]
11 --- 17 | cost [5.75]
11 --- 91 | cost [20.75]
12 --- 57 | cost [12.05]
12 --- 86 | cost [9.3]
13 --- 37 | cost [21.650000000000002]
13 --- 82 | cost [20.0]
14 --- 46 | cost [16.5]
14 --- 100 | cost [13.4]
15 --- 32 | cost [14.0]
15 --- 74 | cost [18.25]
16 --- 53 | cost [12.8]
16 --- 70 | cost [10.75]
17 --- 21 | cost [19.650000000000002]
18 --- 38 | cost [13.85]
18 --- 53 | cost [21.650000000000002]
19 --- 65 | cost [24.85]
19 --- 97 | cost [16.3]
20 --- 27 | cost [9.05]
22 --- 66 | cost [27.45]
22 --- 88 | cost [5.95]
23 --- 62 | cost [24.650000000000002]
23 --- 91 | cost [9.6]
24 --- 36 | cost [15.65]
24 --- 79 | cost [19.3]
25 --- 58 | cost [23.900000000000002]
25 --- 69 | cost [17.35]
27 --- 62 | cost [19.400000000000002]
28 --- 61 | cost [31.400000000000002]
28 --- 101 | cost [20.8]
29 --- 83 | cost [21.8]
30 --- 96 | cost [15.35]
30 --- 100 | cost [32.2]
31 --- 42 | cost [11.450000000000001]
31 --- 56 | cost [18.35]
32 --- 98 | cost [15.6]
33 --- 95 | cost [15.55]
34 --- 46 | cost [15.55]
34 --- 55 | cost [8.45]
37 --- 78 | cost [15.3]
38 --- 84 | cost [16.95]
39 --- 48 | cost [31.75]
39 --- 78 | cost [17.6]
40 --- 69 | cost [18.2]
42 --- 92 | cost [22.35]
44 --- 54 | cost [23.150000000000002]
44 --- 68 | cost [22.900000000000002]
48 --- 71 | cost [17.85]
49 --- 63 | cost [10.1]
50 --- 73 | cost [9.0]
50 --- 95 | cost [37.65]
54 --- 64 | cost [9.05]
55 --- 57 | cost [17.400000000000002]
56 --- 75 | cost [18.5]
58 --- 93 | cost [15.55]
60 --- 86 | cost [22.95]
60 --- 98 | cost [22.3]
61 --- 81 | cost [10.35]
64 --- 81 | cost [29.95]
65 --- 70 | cost [25.6]
68 --- 82 | cost [38.800000000000004]
72 --- 74 | cost [10.75]
72 --- 84 | cost [15.700000000000001]
79 --- 88 | cost [12.950000000000001]
80 --- 89 | cost [12.65]
80 --- 97 | cost [24.85]

BACKUP STAR
9  --> 57 | cost [5.0]
26 --> 66 | cost [16.15]
35 --> 27 | cost [8.9]
41 --> 100 | cost [9.25]
43 --> 46 | cost [9.9]
45 --> 98 | cost [10.700000000000001]
47 --> 91 | cost [18.3]
51 --> 25 | cost [12.700000000000001]
52 --> 96 | cost [5.3]
59 --> 21 | cost [7.55]
67 --> 58 | cost [17.25]
76 --> 13 | cost [5.15]
77 --> 62 | cost [11.05]
85 --> 39 | cost [18.6]
87 -->  7 | cost [11.9]
90 -->  6 | cost [12.450000000000001]
94 --> 16 | cost [8.05]
99 --> 38 | cost [15.65]

B = 39.05
i★ = 11
j★ = 32
k★ = 91

       
——————— Wed, 10 Jan 2024 19:53:28 ————————— seperate y_ij <= y_jj - x_ij on lazy constraints ————————— use blossom = false
ILP ——— 58 hubs —— 1—63—6—49—90—19—97—56—4—65—66—70—22—16—88—53—79—18—24—38—36—84—10—72—21—74—17—15—77—32—23—20—61—68—50—44—54—40—64—2—82—76—39—37—78—96—48—14—29—9—7—25—28—93—67—8—92—101
total time           3635.04 (TL 3600)    gap                  0.531                
blossom time         0                    nb blossom           0.0                  
LB <= UB             99562.66<=212432.95  subtour              2991.0               
connectivity cuts    0.0                  uc strategy          0                    
uc tolerance         0.01                 tildeV               2:100                
2-opt strategy       0                                                              
explored_nodes       492                  n lazycuts edges     0.0                  
F                    7.0                  post procedure       true                 
o_i                  0                                                                                                                                                  
Found solution
RING NODES
1—63—6—49—90—19—97—56—4—65—66—70—22—16—88—53—79—18—24—38—36—84—10—72—21—74—17—15—77—32—23—20—61—68—50—44—54—40—64—2—82—76—39—37—78—96—48—14—29—9—7—25—28—93—67—8—92—101

RING
1  --- 63 | cost [1440.0]
2  --- 64 | cost [1660.0]
2  --- 82 | cost [2850.0]
4  --- 56 | cost [2500.0]
4  --- 65 | cost [735.0]
6  --- 49 | cost [235.0]
6  --- 63 | cost [785.0]
7  ---  9 | cost [250.0]
7  --- 25 | cost [2780.0]
8  --- 67 | cost [3255.0]
8  --- 92 | cost [1030.0]
9  --- 29 | cost [3355.0]
10 --- 72 | cost [1350.0]
10 --- 84 | cost [700.0]
14 --- 29 | cost [1505.0]
14 --- 48 | cost [1440.0]
15 --- 17 | cost [65.0]
15 --- 77 | cost [4930.0]
16 --- 22 | cost [350.0]
16 --- 88 | cost [290.0]
17 --- 74 | cost [1770.0]
18 --- 24 | cost [905.0]
18 --- 79 | cost [1150.0]
19 --- 90 | cost [1880.0]
19 --- 97 | cost [1630.0]
20 --- 23 | cost [3850.0]
20 --- 61 | cost [3435.0]
21 --- 72 | cost [760.0]
21 --- 74 | cost [330.0]
22 --- 70 | cost [930.0]
23 --- 32 | cost [1915.0]
24 --- 38 | cost [480.0]
25 --- 28 | cost [3895.0]
28 --- 93 | cost [240.0]
32 --- 77 | cost [3810.0]
36 --- 38 | cost [1140.0]
36 --- 84 | cost [1610.0]
37 --- 39 | cost [2270.0]
37 --- 78 | cost [1530.0]
39 --- 76 | cost [4150.0]
40 --- 54 | cost [520.0]
40 --- 64 | cost [400.0]
44 --- 50 | cost [810.0]
44 --- 54 | cost [2315.0]
48 --- 96 | cost [2260.0]
49 --- 90 | cost [1040.0]
50 --- 68 | cost [1600.0]
53 --- 79 | cost [1115.0]
53 --- 88 | cost [1150.0]
56 --- 97 | cost [1080.0]
61 --- 68 | cost [3045.0]
65 --- 66 | cost [575.0]
66 --- 70 | cost [2000.0]
67 --- 93 | cost [1735.0]
76 --- 82 | cost [2395.0]
78 --- 96 | cost [340.0]
92 --- 101 | cost [1515.0]

STAR
3  --> 77 | cost [6665.0]
5  --> 96 | cost [1265.0]
11 --> 21 | cost [1745.0]
12 --> 77 | cost [2780.0]
13 -->  9 | cost [8370.0]
26 --> 65 | cost [1415.0]
27 --> 77 | cost [2705.0]
30 --> 39 | cost [1305.0]
31 -->  1 | cost [4435.0]
33 --> 96 | cost [3540.0]
34 -->  7 | cost [1835.0]
35 --> 77 | cost [2640.0]
41 -->  7 | cost [6305.0]
42 -->  8 | cost [1240.0]
43 -->  7 | cost [4025.0]
45 --> 21 | cost [3525.0]
46 -->  7 | cost [3360.0]
47 --> 32 | cost [1805.0]
51 -->  9 | cost [1710.0]
52 --> 78 | cost [200.0]
55 --> 77 | cost [3835.0]
57 -->  7 | cost [465.0]
58 -->  1 | cost [3590.0]
59 --> 74 | cost [445.0]
60 --> 23 | cost [1725.0]
62 --> 20 | cost [1580.0]
69 --> 64 | cost [1485.0]
71 -->  9 | cost [6095.0]
73 --> 50 | cost [900.0]
75 --> 19 | cost [1170.0]
80 -->  1 | cost [4315.0]
81 --> 25 | cost [255.0]
83 -->  7 | cost [1350.0]
85 --> 96 | cost [3215.0]
86 --> 77 | cost [2345.0]
87 --> 77 | cost [2635.0]
89 -->  8 | cost [2080.0]
91 -->  1 | cost [3765.0]
94 --> 22 | cost [670.0]
95 --> 96 | cost [4235.0]
98 -->  1 | cost [3915.0]
99 --> 36 | cost [1500.0]
100 -->  9 | cost [6200.0]

BACKUP RING
1  ---  6 | cost [19.85]
2  --- 40 | cost [16.85]
2  --- 76 | cost [52.25]
4  --- 66 | cost [10.8]
4  --- 97 | cost [16.2]
6  --- 90 | cost [12.450000000000001]
7  --- 28 | cost [53.1]
7  --- 29 | cost [33.15]
8  --- 93 | cost [34.85]
8  --- 101 | cost [21.25]
9  --- 14 | cost [48.6]
9  --- 25 | cost [25.3]
10 --- 21 | cost [21.0]
10 --- 36 | cost [22.05]
14 --- 96 | cost [32.75]
15 --- 32 | cost [14.0]
15 --- 74 | cost [18.25]
16 --- 53 | cost [12.8]
16 --- 70 | cost [10.75]
17 --- 21 | cost [19.650000000000002]
17 --- 77 | cost [49.95]
18 --- 38 | cost [13.85]
18 --- 53 | cost [21.650000000000002]
19 --- 49 | cost [21.6]
19 --- 56 | cost [26.5]
20 --- 32 | cost [57.65]
20 --- 68 | cost [48.85]
22 --- 66 | cost [27.45]
22 --- 88 | cost [5.95]
23 --- 61 | cost [46.7]
23 --- 77 | cost [19.1]
24 --- 36 | cost [15.65]
24 --- 79 | cost [19.3]
25 --- 93 | cost [39.5]
28 --- 67 | cost [15.05]
29 --- 48 | cost [26.1]
37 --- 76 | cost [24.8]
37 --- 96 | cost [15.4]
38 --- 84 | cost [16.95]
39 --- 78 | cost [17.6]
39 --- 82 | cost [34.05]
40 --- 44 | cost [20.35]
44 --- 68 | cost [22.900000000000002]
48 --- 78 | cost [21.1]
49 --- 63 | cost [10.1]
50 --- 54 | cost [30.35]
50 --- 61 | cost [40.15]
54 --- 64 | cost [9.05]
56 --- 65 | cost [31.3]
64 --- 82 | cost [42.15]
65 --- 70 | cost [25.6]
67 --- 92 | cost [36.5]
72 --- 74 | cost [10.75]
72 --- 84 | cost [15.700000000000001]
79 --- 88 | cost [12.950000000000001]
90 --- 97 | cost [31.7]

BACKUP STAR
3  --> 29 | cost [10.700000000000001]
5  --> 37 | cost [3.45]
11 --> 15 | cost [5.65]
12 --> 20 | cost [7.7]
13 --> 76 | cost [5.15]
26 --> 66 | cost [16.15]
27 --> 20 | cost [9.05]
30 --> 96 | cost [15.35]
33 --> 76 | cost [4.6000000000000005]
34 --> 29 | cost [15.05]
35 --> 20 | cost [14.65]
41 --> 14 | cost [17.2]
42 --> 56 | cost [18.5]
43 --> 29 | cost [16.9]
45 --> 23 | cost [11.05]
46 --> 29 | cost [7.4]
47 --> 63 | cost [21.05]
51 --> 61 | cost [9.3]
52 --> 96 | cost [5.3]
55 -->  7 | cost [13.200000000000001]
57 -->  9 | cost [5.0]
59 --> 21 | cost [7.55]
60 --> 77 | cost [9.55]
62 --> 77 | cost [11.05]
69 --> 25 | cost [17.35]
71 --> 14 | cost [13.4]
73 --> 44 | cost [11.65]
75 --> 97 | cost [11.85]
81 --> 61 | cost [10.35]
83 -->  9 | cost [15.0]
85 --> 68 | cost [7.65]
86 --> 20 | cost [7.75]
87 -->  9 | cost [9.75]
89 --> 56 | cost [24.75]
94 --> 16 | cost [8.05]
95 --> 82 | cost [12.25]
99 --> 38 | cost [15.65]
100 --> 48 | cost [12.6]

B = 101.85
i★ = 9
j★ = 7
k★ = 25

       
——————— Wed, 10 Jan 2024 20:54:47 ————————— seperate y_ij <= y_jj - x_ij on lazy constraints ————————— use blossom = false
BD  —— 83 hubs —— 1-63-6-49-92-8-42-89-31-80-56-97-4-65-66-70-22-16-88-53-79-18-24-38-36-84-10-72-59-74-17-15-11-32-45-91-98-23-60-77-62-20-86-27-12-57-7-55-83-34-3-46-29-14-71-41-100-48-30-39-96-5-78-52-37-33-13-82-44-2-40-54-69-73-68-81-25-61-58-93-28-67-101-1
total time           3612.86 (TL 3600)    gap                  0.09                 
blossom time         0                    nb blossom           0.0                  
LB <= UB             98890<=108723.25     Master/SP costs      108410/313.25        
Master time          3601.44              SP time              11.41                
subtour              54498.0              connectivity cuts    0.0                  
uc strategy          0                    uc tolerance         0.01                 
opt. cuts            44.0                 SP method            poly                 
tildeV               2:100                inst transformation  2                    
2-opt strategy       0                                                              
explored nodes       19427                
F                    7.0                  
                                          o_i                  0                                                              
                                          
Found solution
RING NODES
1—63—6—49—92—8—42—89—31—80—56—97—4—65—66—70—22—16—88—53—79—18—24—38—36—84—10—72—59—74—17—15—11—32—45—91—98—23—60—77—62—20—86—27—12—57—7—55—83—34—3—46—29—14—71—41—100—48—30—39—96—5—78—52—37—33—13—82—44—2—40—54—69—73—68—81—25—61—58—93—28—67—101

RING
1  --- 63 | cost [1440.0]
2  --- 40 | cost [1685.0]
2  --- 44 | cost [1285.0]
3  --- 34 | cost [2240.0]
3  --- 46 | cost [695.0]
4  --- 65 | cost [735.0]
4  --- 97 | cost [1620.0]
5  --- 78 | cost [1210.0]
5  --- 96 | cost [1265.0]
6  --- 49 | cost [235.0]
6  --- 63 | cost [785.0]
7  --- 55 | cost [1320.0]
7  --- 57 | cost [465.0]
8  --- 42 | cost [1240.0]
8  --- 92 | cost [1030.0]
10 --- 72 | cost [1350.0]
10 --- 84 | cost [700.0]
11 --- 15 | cost [565.0]
11 --- 32 | cost [1010.0]
12 --- 27 | cost [680.0]
12 --- 57 | cost [1205.0]
13 --- 33 | cost [505.0]
13 --- 82 | cost [2000.0]
14 --- 29 | cost [1505.0]
14 --- 71 | cost [1340.0]
15 --- 17 | cost [65.0]
16 --- 22 | cost [350.0]
16 --- 88 | cost [290.0]
17 --- 74 | cost [1770.0]
18 --- 24 | cost [905.0]
18 --- 79 | cost [1150.0]
20 --- 62 | cost [1580.0]
20 --- 86 | cost [775.0]
22 --- 70 | cost [930.0]
23 --- 60 | cost [1725.0]
23 --- 98 | cost [540.0]
24 --- 38 | cost [480.0]
25 --- 61 | cost [825.0]
25 --- 81 | cost [255.0]
27 --- 86 | cost [405.0]
28 --- 67 | cost [1505.0]
28 --- 93 | cost [240.0]
29 --- 46 | cost [740.0]
30 --- 39 | cost [1305.0]
30 --- 48 | cost [2135.0]
31 --- 80 | cost [435.0]
31 --- 89 | cost [940.0]
32 --- 45 | cost [1110.0]
33 --- 37 | cost [2040.0]
34 --- 83 | cost [730.0]
36 --- 38 | cost [1140.0]
36 --- 84 | cost [1610.0]
37 --- 52 | cost [1630.0]
39 --- 96 | cost [1420.0]
40 --- 54 | cost [520.0]
41 --- 71 | cost [415.0]
41 --- 100 | cost [925.0]
42 --- 89 | cost [900.0]
44 --- 82 | cost [2590.0]
45 --- 91 | cost [895.0]
48 --- 100 | cost [1260.0]
49 --- 92 | cost [1760.0]
52 --- 78 | cost [200.0]
53 --- 79 | cost [1115.0]
53 --- 88 | cost [1150.0]
54 --- 69 | cost [2335.0]
55 --- 83 | cost [115.0]
56 --- 80 | cost [1405.0]
56 --- 97 | cost [1080.0]
58 --- 61 | cost [1625.0]
58 --- 93 | cost [1555.0]
59 --- 72 | cost [1440.0]
59 --- 74 | cost [445.0]
60 --- 77 | cost [955.0]
62 --- 77 | cost [1105.0]
65 --- 66 | cost [575.0]
66 --- 70 | cost [2000.0]
67 --- 101 | cost [2965.0]
68 --- 73 | cost [1335.0]
68 --- 81 | cost [2035.0]
69 --- 73 | cost [1465.0]
91 --- 98 | cost [495.0]

STAR
9  -->  7 | cost [250.0]
19 --> 53 | cost [1400.0]
21 --> 74 | cost [330.0]
26 --> 65 | cost [1415.0]
35 --> 86 | cost [705.0]
43 -->  3 | cost [855.0]
47 --> 91 | cost [1830.0]
50 --> 44 | cost [810.0]
51 --> 61 | cost [930.0]
64 --> 40 | cost [400.0]
75 --> 97 | cost [1185.0]
76 --> 33 | cost [460.0]
85 --> 68 | cost [765.0]
87 --> 57 | cost [990.0]
90 --> 49 | cost [1040.0]
94 --> 22 | cost [670.0]
95 --> 13 | cost [1080.0]
99 --> 36 | cost [1500.0]

BACKUP RING
1  ---  6 | cost [19.85]
2  --- 54 | cost [16.55]
2  --- 82 | cost [28.5]
3  --- 29 | cost [10.700000000000001]
3  --- 83 | cost [27.650000000000002]
4  --- 56 | cost [25.0]
4  --- 66 | cost [10.8]
5  --- 39 | cost [21.85]
5  --- 52 | cost [12.950000000000001]
6  --- 92 | cost [16.45]
7  --- 12 | cost [10.8]
7  --- 83 | cost [13.5]
8  --- 49 | cost [27.650000000000002]
8  --- 89 | cost [20.8]
10 --- 36 | cost [22.05]
10 --- 59 | cost [27.150000000000002]
11 --- 17 | cost [5.75]
11 --- 45 | cost [18.5]
12 --- 86 | cost [9.3]
13 --- 37 | cost [21.650000000000002]
13 --- 44 | cost [44.75]
14 --- 41 | cost [17.2]
14 --- 46 | cost [16.5]
15 --- 32 | cost [14.0]
15 --- 74 | cost [18.25]
16 --- 53 | cost [12.8]
16 --- 70 | cost [10.75]
17 --- 59 | cost [17.900000000000002]
18 --- 38 | cost [13.85]
18 --- 53 | cost [21.650000000000002]
20 --- 27 | cost [9.05]
20 --- 77 | cost [20.1]
22 --- 66 | cost [27.45]
22 --- 88 | cost [5.95]
23 --- 77 | cost [19.1]
23 --- 91 | cost [9.6]
24 --- 36 | cost [15.65]
24 --- 79 | cost [19.3]
25 --- 58 | cost [23.900000000000002]
25 --- 68 | cost [22.25]
27 --- 57 | cost [17.5]
28 --- 58 | cost [15.15]
28 --- 101 | cost [20.8]
29 --- 71 | cost [27.75]
30 --- 96 | cost [15.35]
30 --- 100 | cost [32.2]
31 --- 42 | cost [11.450000000000001]
31 --- 56 | cost [18.35]
32 --- 91 | cost [10.75]
33 --- 52 | cost [36.65]
33 --- 82 | cost [24.95]
34 --- 46 | cost [15.55]
34 --- 55 | cost [8.45]
37 --- 78 | cost [15.3]
38 --- 84 | cost [16.95]
39 --- 48 | cost [31.75]
40 --- 44 | cost [20.35]
40 --- 69 | cost [18.2]
41 --- 48 | cost [21.650000000000002]
42 --- 92 | cost [22.35]
45 --- 98 | cost [10.700000000000001]
49 --- 63 | cost [10.1]
54 --- 73 | cost [27.25]
55 --- 57 | cost [17.400000000000002]
60 --- 62 | cost [7.55]
60 --- 98 | cost [22.3]
61 --- 81 | cost [10.35]
61 --- 93 | cost [31.7]
62 --- 86 | cost [15.4]
65 --- 70 | cost [25.6]
65 --- 97 | cost [23.35]
67 --- 93 | cost [17.35]
68 --- 69 | cost [23.0]
71 --- 100 | cost [6.05]
72 --- 74 | cost [10.75]
72 --- 84 | cost [15.700000000000001]
73 --- 81 | cost [21.650000000000002]
78 --- 96 | cost [3.4]
79 --- 88 | cost [12.950000000000001]
80 --- 89 | cost [12.65]
80 --- 97 | cost [24.85]

BACKUP STAR
9  --> 57 | cost [5.0]
19 --> 97 | cost [16.3]
21 --> 59 | cost [7.55]
26 --> 66 | cost [16.15]
35 --> 27 | cost [8.9]
43 --> 46 | cost [9.9]
47 --> 32 | cost [18.05]
50 --> 73 | cost [9.0]
51 --> 25 | cost [12.700000000000001]
64 --> 54 | cost [9.05]
75 --> 49 | cost [17.45]
76 --> 13 | cost [5.15]
85 --> 39 | cost [18.6]
87 -->  7 | cost [11.9]
90 -->  6 | cost [12.450000000000001]
94 --> 16 | cost [8.05]
95 --> 82 | cost [12.25]
99 --> 38 | cost [15.65]

B = 44.75
i★ = 13
j★ = 82
k★ = 44