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Table B.2. Coordinates of problem berl in52 , Euclidean distances
city
x
y city
x
y city
x
y
1
565.0 575.0 19
510.0 875.0 37
770.0 610.0
2
25.0 185.0 20
560.0 365.0 38
795.0 645.0
3
345.0 750.0 21
300.0 465.0 39
720.0 635.0
4
945.0 685.0 22
520.0 585.0 40
760.0 650.0
5
845.0 655.0 23
480.0 415.0 41
475.0 960.0
6
880.0 660.0 24
835.0 625.0 42
95.0 260.0
7
25.0 230.0 25
975.0 580.0 43
875.0 920.0
8
525.0 1000.0 26
1215.0 245.0 44
700.0 500.0
9
580.0 1175.0 27
1320.0 315.0 45
555.0 815.0
10
650.0 1130.0 28
1250.0 400.0 46
830.0 485.0
11
1605.0 620.0 29
660.0 180.0 47
1170.0 65.0
12
1220.0 580.0 30
410.0 250.0 48
830.0 610.0
13
1465.0 200.0 31
420.0 555.0 49
605.0 625.0
14
1530.0
5.0 32
575.0 665.0 50
595.0 360.0
15
845.0 680.0 33
1150.0 1160.0 51
1340.0 725.0
16
725.0 370.0 34
700.0 580.0 52
1740.0 245.0
17
145.0 665.0 35
685.0 595.0
18
415.0 635.0 36
685.0 610.0
Bier127
TSPproblemof TSPlib fromReinelt [117]: coordinates of 127 beer gardens inAugs-
burg, Germany; Euclidean distances; length of optimal tour f ( x ) = 118282.
Table B.3. Coordinates of problem bier127 , Euclidean distances
city
x
y city
x
y city
x
y city
x
y city
x
y
1
9860 14152 27
9512 12412 53
7888 16936 79
10556 11948 105 10440 14036
2
9396 14616 28
7772 11020 54
8236 15428 80
10324 11716 106 10672 13804
3
11252 14848 29
8352 10672 55
9512 17400 81
11484 9512 107
1160 18560
4
11020 13456 30
9164 12876 56
9164 16008 82
11484 7540 108 10788 13572
5
9512 15776 31
9744 12528 57
8700 15312 83
11020 7424 109 15660 11368
6
10788 13804 32
8352 10324 58
11716 16008 84
11484 9744 110 15544 12760
7
10208 14384 33
8236 11020 59
12992 14964 85
16936 12180 111
5336 18908
8
11600 13456 34
8468 12876 60
12412 14964 86
17052 12064 112
6264 19140
9
11252 14036 35
8700 14036 61
12296 15312 87
16936 11832 113 11832 17516
10
10672 15080 36
8932 13688 62
12528 15196 88
17052 11600 114 10672 14152
11
11136 14152 37
9048 13804 63
15312 6612 89
13804 18792 115 10208 15196
12
9860 13108 38
8468 12296 64
11716 16124 90
12064 14964 116 12180 14848
13
10092 14964 39
8352 12644 65
11600 19720 91
12180 15544 117 11020 10208
14
9512 13340 40
8236 13572 66
10324 17516 92
14152 18908 118
7656 17052
15
10556 13688 41
9164 13340 67
12412 13340 93
5104 14616 119 16240 8352
16
9628 14036 42
8004 12760 68
12876 12180 94
6496 17168 120 10440 14732
17
10904 13108 43
8584 13108 69
13688 10904 95
5684 13224 121
9164 15544
18
11368 12644 44
7772 14732 70
13688 11716 96
15660 10788 122
8004 11020
19
11252 13340 45
7540 15080 71
13688 12528 97
5336 10324 123
5684 11948
20
10672 13340 46
7424 17516 72
11484 13224 98
812 6264 124
9512 16472
21
11020 13108 47
8352 17052 73
12296 12760 99
14384 20184 125 13688 17516
22
11020 13340 48
7540 16820 74
12064 12528 100 11252 15776 126 11484 8468
23
11136 13572 49
7888 17168 75
12644 10556 101
9744 3132 127
3248 14152
24
11020 13688 50
9744 15196 76
11832 11252 102 10904 3480
25
8468 11136 51
9164 14964 77
11368 12296 103
7308 14848
26
8932 12064 52
9744 16240 78
11136 11020 104 16472 16472
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