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problems

This commit is contained in:
UmbertoJr 2019-10-18 17:54:54 +02:00
commit 2d709b8c42
13 changed files with 5393 additions and 0 deletions
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problems/.DS_Store vendored Normal file
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138
problems/ch130.tsp Normal file
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NAME : ch130
COMMENT : 130 city problem (Churritz)
TYPE : TSP
DIMENSION : 130
EDGE_WEIGHT_TYPE : EUC_2D
BEST_KNOWN : 6110
NODE_COORD_SECTION
1 334.5909245845 161.7809319139
2 397.6446634067 262.8165330708
3 503.8741827107 172.8741151168
4 444.0479403502 384.6491809647
5 311.6137146746 2.0091699828
6 662.8551011379 549.2301263653
7 40.0979030612 187.2375430791
8 526.8941409181 215.7079092185
9 209.1887938487 691.0262291948
10 683.2674131973 414.2096286906
11 280.7494438748 5.9206392047
12 252.7493090080 535.7430385019
13 698.7850451923 348.4413729766
14 678.7574678104 410.7256424438
15 220.0041131179 409.1225812873
16 355.1528556851 76.3912076444
17 296.9724227786 313.1312792361
18 504.5154071733 240.8866564499
19 224.1079496785 358.4872228907
20 470.6801296968 309.6259188406
21 554.2530513223 279.4242466521
22 567.6332684419 352.7162027273
23 599.0532671093 361.0948690386
24 240.5232959211 430.6036007844
25 32.0825972787 345.8551009775
26 91.0538736891 148.7213270256
27 248.2179894723 343.9528017384
28 488.8909044347 3.6122311393
29 206.0467939820 437.7639406167
30 575.8409415632 141.9670960195
31 282.6089948164 329.4183805862
32 27.6581484868 424.7684581747
33 568.5737309870 287.0975660546
34 269.4638933331 295.9464636385
35 417.8004856811 341.2596589955
36 32.1680938737 448.8998721172
37 561.4775136009 357.3543930067
38 342.9482167470 492.3321423839
39 399.6752075383 156.8435035519
40 571.7371050025 375.7575350833
41 370.7559842751 151.9060751898
42 509.7093253204 435.7975189314
43 177.0206999750 295.6044772584
44 526.1674198605 409.4859418161
45 316.5725171854 65.6400108214
46 469.2908100279 281.9891445025
47 572.7630641427 373.3208821255
48 29.5176994283 330.0382309000
49 454.0082936692 537.2178547659
50 416.1546762271 227.6133100741
51 535.2514330806 471.0648643744
52 265.4455533675 684.9987192464
53 478.0542110167 509.6452028741
54 370.4781203413 332.5390063041
55 598.3479202004 446.8693279856
56 201.1521139175 649.0260268945
57 193.6925360026 680.2322840744
58 448.5792598859 532.7934059740
59 603.2853485624 134.4006473609
60 543.0102490781 481.5168231148
61 214.5750793346 43.6460117543
62 426.3501451825 61.7285415996
63 89.0447037063 277.1158385868
64 84.4920100219 31.8474816424
65 220.0468614154 623.0778103080
66 688.4613313444 0.4702312726
67 687.2857531630 373.5346236130
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69 63.4170993511 23.7039309674
70 97.9363495877 211.0910930878
71 399.5255884970 170.8221968365
72 456.3167017346 597.1937161677
73 319.8855102422 626.8396604886
74 295.9250894897 664.6291554845
75 288.4868857235 667.7284070537
76 268.3951858954 52.9010181645
77 140.4709056068 513.5566720960
78 689.8079027159 167.5947003748
79 280.5784506848 458.7533546925
80 453.3884433554 282.9082328989
81 213.5704943432 525.8681817779
82 133.6953004520 677.1757808026
83 521.1658690522 132.8617086506
84 30.2657946347 450.0754502986
85 657.0199585283 39.7772908299
86 6.9252241961 23.8749241575
87 252.4286967767 535.1659364856
88 42.8551682504 63.8232081774
89 145.8999393902 399.5255884970
90 638.4885715591 62.6262558472
91 489.2756391122 665.3131282446
92 361.2231139311 564.2347787901
93 519.9475425732 347.9711417040
94 129.3349741063 435.6692740389
95 259.7172815016 454.6495181318
96 676.3421890013 371.0979706551
97 84.5133841706 183.3260738572
98 77.7164048671 354.3833863300
99 335.9802442534 660.6321896676
100 264.3554717810 377.5743377274
101 51.6826916855 676.0429509187
102 692.1376849300 543.8010925819
103 169.2191356800 547.8194325476
104 194.0131482339 263.4791316822
105 415.1928395332 78.9133571973
106 415.0432204919 479.0801701569
107 169.8389859939 245.6103433244
108 525.0987124228 213.5063718969
109 238.6851191283 33.4932910965
110 116.2112467718 363.5742702940
111 16.9283258126 656.5711014044
112 434.3440768162 92.6996831431
113 40.5253860363 424.6829615797
114 530.4849979086 183.8390534273
115 484.3595848990 49.2460387276
116 263.6501248722 426.5852608187
117 450.2891917862 126.3853415784
118 441.7822805823 299.7724362653
119 24.2169105375 500.3474481664
120 503.7886861157 514.6895019799
121 635.5389390312 200.9811207275
122 614.5922732529 418.8691931188
123 21.7161351334 660.9741760476
124 143.8266469611 92.6996831431
125 637.7191022040 54.2048412384
126 566.5645610042 199.9551615873
127 196.6849168280 221.8209157619
128 384.9270448985 87.4630166986
129 178.1107815614 104.6905805938
130 403.2874386776 205.8971749407
EOF

206
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NAME : d198
COMMENT : Drilling problem (Reinelt)
TYPE : TSP
DIMENSION : 198
EDGE_WEIGHT_TYPE : EUC_2D
BEST_KNOWN : 15780
NODE_COORD_SECTION
1 0.00000e+00 0.00000e+00
2 5.51200e+02 9.96400e+02
3 6.27400e+02 9.96400e+02
4 7.03600e+02 9.96400e+02
5 7.03600e+02 1.04720e+03
6 6.27400e+02 1.04720e+03
7 5.51200e+02 1.04720e+03
8 8.81400e+02 1.35200e+03
9 9.32200e+02 1.35200e+03
10 9.57600e+02 1.35200e+03
11 9.83000e+02 1.35200e+03
12 1.00840e+03 1.35200e+03
13 1.03380e+03 1.35200e+03
14 1.31320e+03 1.12340e+03
15 1.28780e+03 1.09800e+03
16 1.28780e+03 9.96400e+02
17 1.31320e+03 9.96400e+02
18 1.46560e+03 9.96400e+02
19 1.51640e+03 9.96400e+02
20 1.59260e+03 9.96400e+02
21 1.59260e+03 1.09800e+03
22 1.51640e+03 1.09800e+03
23 1.46560e+03 1.09800e+03
24 1.56720e+03 1.12340e+03
25 1.59260e+03 1.14880e+03
26 1.56720e+03 1.17420e+03
27 1.54180e+03 1.17420e+03
28 1.49100e+03 1.17420e+03
29 1.44020e+03 1.17420e+03
30 1.46560e+03 1.19960e+03
31 1.41480e+03 1.22500e+03
32 1.44020e+03 1.22500e+03
33 1.49100e+03 1.22500e+03
34 1.51640e+03 1.22500e+03
35 1.59260e+03 1.25040e+03
36 1.46560e+03 1.25040e+03
37 1.44020e+03 1.25040e+03
38 1.38940e+03 1.25040e+03
39 1.54180e+03 1.27580e+03
40 1.16080e+03 1.12340e+03
41 1.16080e+03 1.22500e+03
42 1.26240e+03 1.30120e+03
43 1.28780e+03 1.30120e+03
44 1.33860e+03 1.30120e+03
45 1.41480e+03 1.30120e+03
46 1.49100e+03 1.30120e+03
47 1.54180e+03 1.30120e+03
48 1.64340e+03 1.30120e+03
49 1.66880e+03 1.32660e+03
50 1.61800e+03 1.32660e+03
51 1.56720e+03 1.32660e+03
52 1.51640e+03 1.32660e+03
53 1.46560e+03 1.32660e+03
54 1.41480e+03 1.32660e+03
55 1.33860e+03 1.32660e+03
56 1.31320e+03 1.32660e+03
57 1.23700e+03 1.32660e+03
58 1.23700e+03 1.35200e+03
59 1.31320e+03 1.35200e+03
60 1.33860e+03 1.35200e+03
61 1.41480e+03 1.35200e+03
62 1.46560e+03 1.35200e+03
63 1.69420e+03 1.35200e+03
64 1.61800e+03 1.37740e+03
65 1.51640e+03 1.37740e+03
66 1.41480e+03 1.37740e+03
67 1.33860e+03 1.37740e+03
68 1.31320e+03 1.37740e+03
69 1.23700e+03 1.37740e+03
70 1.35770e+03 1.39010e+03
71 1.23700e+03 1.40280e+03
72 1.31320e+03 1.40280e+03
73 1.33860e+03 1.40280e+03
74 1.41480e+03 1.40280e+03
75 1.46560e+03 1.40280e+03
76 1.56720e+03 1.40280e+03
77 1.59260e+03 1.40280e+03
78 1.61800e+03 1.40280e+03
79 1.69420e+03 1.42820e+03
80 1.66880e+03 1.42820e+03
81 1.54180e+03 1.42820e+03
82 1.44020e+03 1.42820e+03
83 1.41480e+03 1.42820e+03
84 1.33860e+03 1.42820e+03
85 1.26240e+03 1.42820e+03
86 1.23700e+03 1.45360e+03
87 1.33860e+03 1.45360e+03
88 1.41480e+03 1.45360e+03
89 1.46560e+03 1.45360e+03
90 1.49100e+03 1.45360e+03
91 1.66880e+03 1.45360e+03
92 1.69420e+03 1.45360e+03
93 1.61800e+03 1.47900e+03
94 1.59260e+03 1.47900e+03
95 1.56720e+03 1.47900e+03
96 1.51640e+03 1.47900e+03
97 1.44020e+03 1.47900e+03
98 1.41480e+03 1.47900e+03
99 1.33860e+03 1.47900e+03
100 1.26240e+03 1.47900e+03
101 1.59260e+03 1.50440e+03
102 1.61800e+03 1.50440e+03
103 1.66880e+03 1.52980e+03
104 1.69420e+03 1.52980e+03
105 1.74500e+03 1.52980e+03
106 1.82120e+03 1.52980e+03
107 1.84660e+03 1.52980e+03
108 1.94820e+03 1.52980e+03
109 1.92280e+03 1.55520e+03
110 1.89740e+03 1.55520e+03
111 1.87200e+03 1.55520e+03
112 1.82120e+03 1.55520e+03
113 1.79580e+03 1.55520e+03
114 1.77040e+03 1.55520e+03
115 1.77040e+03 1.65680e+03
116 1.79580e+03 1.65680e+03
117 1.82120e+03 1.65680e+03
118 1.87200e+03 1.65680e+03
119 1.89740e+03 1.65680e+03
120 1.92280e+03 1.65680e+03
121 1.80850e+03 1.69490e+03
122 1.75770e+03 1.69490e+03
123 1.88470e+03 1.73300e+03
124 1.99900e+03 1.73300e+03
125 2.07520e+03 1.73300e+03
126 2.11330e+03 1.73300e+03
127 2.17680e+03 1.73300e+03
128 2.23650e+03 1.73300e+03
129 2.17680e+03 1.78380e+03
130 2.12600e+03 1.78380e+03
131 2.10060e+03 1.78380e+03
132 2.10060e+03 1.80920e+03
133 2.12600e+03 1.80920e+03
134 2.10060e+03 1.83460e+03
135 2.12600e+03 1.83460e+03
136 2.15140e+03 1.83460e+03
137 2.23650e+03 1.84730e+03
138 1.99900e+03 1.84730e+03
139 1.88470e+03 1.84730e+03
140 2.10060e+03 1.86000e+03
141 2.12600e+03 1.86000e+03
142 2.10060e+03 1.88540e+03
143 2.12600e+03 1.88540e+03
144 2.17680e+03 1.88540e+03
145 2.15140e+03 1.91080e+03
146 2.12600e+03 1.91080e+03
147 2.10060e+03 1.91080e+03
148 2.10060e+03 1.93620e+03
149 2.12600e+03 1.93620e+03
150 2.17680e+03 1.93620e+03
151 2.22760e+03 1.93620e+03
152 2.12600e+03 1.96160e+03
153 2.10060e+03 1.96160e+03
154 1.79580e+03 1.98700e+03
155 1.82120e+03 1.98700e+03
156 1.84660e+03 1.98700e+03
157 1.87200e+03 1.98700e+03
158 1.89740e+03 1.98700e+03
159 1.94820e+03 1.98700e+03
160 2.05620e+03 1.98700e+03
161 2.10060e+03 1.98700e+03
162 2.12600e+03 1.98700e+03
163 2.25300e+03 1.98700e+03
164 2.30380e+03 1.98700e+03
165 2.38000e+03 1.98700e+03
166 2.40540e+03 1.98700e+03
167 2.02440e+03 1.40280e+03
168 2.15140e+03 1.40280e+03
169 2.07520e+03 1.70760e+03
170 2.17680e+03 1.70760e+03
171 2.35080e+03 1.73300e+03
172 2.35080e+03 1.84730e+03
173 3.65210e+03 1.01030e+03
174 3.72570e+03 1.01030e+03
175 3.72570e+03 1.08650e+03
176 3.65210e+03 1.08650e+03
177 3.72620e+03 1.14880e+03
178 3.80240e+03 1.14880e+03
179 3.85320e+03 1.14880e+03
180 3.80240e+03 1.17420e+03
181 3.70080e+03 1.17420e+03
182 3.60560e+03 1.19960e+03
183 3.70080e+03 1.19960e+03
184 3.80240e+03 1.19960e+03
185 3.85320e+03 1.19960e+03
186 4.02830e+03 1.31030e+03
187 3.95210e+03 1.31030e+03
188 3.72830e+03 1.31030e+03
189 3.65210e+03 1.31030e+03
190 3.65210e+03 1.38650e+03
191 3.72830e+03 1.38650e+03
192 3.95210e+03 1.38650e+03
193 4.02830e+03 1.38650e+03
194 3.85320e+03 1.12340e+03
195 3.95210e+03 1.08650e+03
196 4.02830e+03 1.08650e+03
197 4.02830e+03 1.01030e+03
198 3.95210e+03 1.01030e+03
EOF

83
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NAME : eil76.opt.tour
COMMENT : Optimum tour for eil76.tsp (538)
TYPE : TOUR
DIMENSION : 76
TOUR_SECTION
1
33
63
16
3
44
32
9
39
72
58
10
31
55
25
50
18
24
49
23
56
41
43
42
64
22
61
21
47
36
69
71
60
70
20
37
5
15
57
13
54
19
14
59
66
65
38
11
53
7
35
8
46
34
52
27
45
29
48
30
4
75
76
67
26
12
40
17
51
6
68
2
74
28
62
73
-1
EOF

84
problems/eil76.tsp Normal file
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NAME : eil76
COMMENT : 76-city problem (Christofides/Eilon)
TYPE : TSP
DIMENSION : 76
EDGE_WEIGHT_TYPE : EUC_2D
BEST_KNOWN : 538
NODE_COORD_SECTION
1 22 22
2 36 26
3 21 45
4 45 35
5 55 20
6 33 34
7 50 50
8 55 45
9 26 59
10 40 66
11 55 65
12 35 51
13 62 35
14 62 57
15 62 24
16 21 36
17 33 44
18 9 56
19 62 48
20 66 14
21 44 13
22 26 13
23 11 28
24 7 43
25 17 64
26 41 46
27 55 34
28 35 16
29 52 26
30 43 26
31 31 76
32 22 53
33 26 29
34 50 40
35 55 50
36 54 10
37 60 15
38 47 66
39 30 60
40 30 50
41 12 17
42 15 14
43 16 19
44 21 48
45 50 30
46 51 42
47 50 15
48 48 21
49 12 38
50 15 56
51 29 39
52 54 38
53 55 57
54 67 41
55 10 70
56 6 25
57 65 27
58 40 60
59 70 64
60 64 4
61 36 6
62 30 20
63 20 30
64 15 5
65 50 70
66 57 72
67 45 42
68 38 33
69 50 4
70 66 8
71 59 5
72 35 60
73 27 24
74 40 20
75 40 37
76 40 40
EOF

1585
problems/fl1577.tsp Normal file
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107
problems/kroA100.opt.tour Normal file
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NAME : kroA100.opt.tour
COMMENT : Optimum tour for kroA100 (21282)
TYPE : TOUR
DIMENSION : 100
TOUR_SECTION
1
47
93
28
67
58
61
51
87
25
81
69
64
40
54
2
44
50
73
68
85
82
95
13
76
33
37
5
52
78
96
39
30
48
100
41
71
14
3
43
46
29
34
83
55
7
9
57
20
12
27
86
35
62
60
77
23
98
91
45
32
11
15
17
59
74
21
72
10
84
36
99
38
24
18
79
53
88
16
94
22
70
66
26
65
4
97
56
80
31
89
42
8
92
75
19
90
49
6
63
-1
EOF

108
problems/kroA100.tsp Normal file
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NAME : kroA100
COMMENT : 100-city problem A (Krolak/Felts/Nelson)
TYPE : TSP
DIMENSION : 100
EDGE_WEIGHT_TYPE : EUC_2D
BEST_KNOWN : 21282
NODE_COORD_SECTION
1 1380 939
2 2848 96
3 3510 1671
4 457 334
5 3888 666
6 984 965
7 2721 1482
8 1286 525
9 2716 1432
10 738 1325
11 1251 1832
12 2728 1698
13 3815 169
14 3683 1533
15 1247 1945
16 123 862
17 1234 1946
18 252 1240
19 611 673
20 2576 1676
21 928 1700
22 53 857
23 1807 1711
24 274 1420
25 2574 946
26 178 24
27 2678 1825
28 1795 962
29 3384 1498
30 3520 1079
31 1256 61
32 1424 1728
33 3913 192
34 3085 1528
35 2573 1969
36 463 1670
37 3875 598
38 298 1513
39 3479 821
40 2542 236
41 3955 1743
42 1323 280
43 3447 1830
44 2936 337
45 1621 1830
46 3373 1646
47 1393 1368
48 3874 1318
49 938 955
50 3022 474
51 2482 1183
52 3854 923
53 376 825
54 2519 135
55 2945 1622
56 953 268
57 2628 1479
58 2097 981
59 890 1846
60 2139 1806
61 2421 1007
62 2290 1810
63 1115 1052
64 2588 302
65 327 265
66 241 341
67 1917 687
68 2991 792
69 2573 599
70 19 674
71 3911 1673
72 872 1559
73 2863 558
74 929 1766
75 839 620
76 3893 102
77 2178 1619
78 3822 899
79 378 1048
80 1178 100
81 2599 901
82 3416 143
83 2961 1605
84 611 1384
85 3113 885
86 2597 1830
87 2586 1286
88 161 906
89 1429 134
90 742 1025
91 1625 1651
92 1187 706
93 1787 1009
94 22 987
95 3640 43
96 3756 882
97 776 392
98 1724 1642
99 198 1810
100 3950 1558
EOF

326
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NAME : lin318
COMMENT : 318-city problem (Lin/Kernighan)
TYPE : TSP
DIMENSION : 318
EDGE_WEIGHT_TYPE : EUC_2D
BEST_KNOWN : 42029
NODE_COORD_SECTION
1 63 71
2 94 71
3 142 370
4 173 1276
5 205 1213
6 213 69
7 244 69
8 276 630
9 283 732
10 362 69
11 394 69
12 449 370
13 480 1276
14 512 1213
15 528 157
16 583 630
17 591 732
18 638 654
19 638 496
20 638 314
21 638 142
22 669 142
23 677 315
24 677 496
25 677 654
26 709 654
27 709 496
28 709 315
29 701 142
30 764 220
31 811 189
32 843 173
33 858 370
34 890 1276
35 921 1213
36 992 630
37 1000 732
38 1197 1276
39 1228 1213
40 1276 205
41 1299 630
42 1307 732
43 1362 654
44 1362 496
45 1362 291
46 1425 654
47 1425 496
48 1425 291
49 1417 173
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EOF

450
problems/pcb442.tsp Normal file
View File

@ -0,0 +1,450 @@
NAME : pcb442
COMMENT : Drilling problem (Groetschel/Juenger/Reinelt)
TYPE : TSP
DIMENSION : 442
EDGE_WEIGHT_TYPE : EUC_2D
BEST_KNOWN : 50778
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393 1.15000e+03 1.35000e+03
394 1.17000e+03 2.28000e+03
395 1.22000e+03 2.21000e+03
396 1.35000e+03 7.50000e+02
397 1.35000e+03 1.70000e+03
398 1.35000e+03 2.14000e+03
399 1.45000e+03 7.70000e+02
400 1.55000e+03 3.00000e+02
401 1.55000e+03 5.00000e+02
402 1.55000e+03 1.85000e+03
403 1.65000e+03 1.05000e+03
404 1.69000e+03 2.68000e+03
405 1.71000e+03 3.10000e+02
406 1.71000e+03 5.10000e+02
407 1.75000e+03 7.50000e+02
408 1.79000e+03 2.58000e+03
409 1.72000e+03 2.61000e+03
410 1.79000e+03 3.33000e+03
411 1.72000e+03 3.40900e+03
412 1.82900e+03 2.70000e+03
413 1.82900e+03 2.80000e+03
414 1.82900e+03 3.45000e+03
415 2.06000e+03 1.65000e+03
416 2.05000e+03 3.15000e+03
417 2.17000e+03 1.90000e+03
418 2.11000e+03 2.00000e+03
419 2.12000e+03 2.75000e+03
420 2.15000e+03 3.25000e+03
421 2.29000e+03 1.40000e+03
422 2.22000e+03 2.82000e+03
423 2.28000e+03 3.25000e+03
424 2.39000e+03 1.30000e+03
425 2.32000e+03 1.50000e+03
426 2.45000e+03 7.10000e+02
427 2.62000e+03 3.65000e+03
428 2.75000e+03 5.20000e+02
429 2.76000e+03 2.36000e+03
430 2.85000e+03 2.20000e+03
431 2.85000e+03 2.70000e+03
432 2.85000e+03 3.35000e+03
433 2.93000e+03 9.50000e+02
434 2.95000e+03 1.75000e+03
435 2.95000e+03 2.05000e+03
436 5.20000e+02 3.20000e+03
437 2.30000e+03 3.50000e+03
438 2.32000e+03 3.15000e+03
439 5.30000e+02 2.10000e+03
440 2.55000e+03 7.10000e+02
441 7.50000e+02 4.90000e+02
442 0.00000e+00 0.00000e+00
EOF

447
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@ -0,0 +1,447 @@
NAME : pr439
COMMENT : 439-city problem (Padberg/Rinaldi)
TYPE : TSP
DIMENSION : 439
EDGE_WEIGHT_TYPE : EUC_2D
BEST_KNOWN : 107217
NODE_COORD_SECTION
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431 13225 2325
432 4675 1825
433 4675 1975
434 1975 4025
435 2075 5675
436 1975 5575
437 1875 5475
438 1775 5375
439 2075 6475
EOF

791
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@ -0,0 +1,791 @@
NAME : rat783
COMMENT : Rattled grid (Pulleyblank)
TYPE : TSP
DIMENSION : 783
EDGE_WEIGHT_TYPE : EUC_2D
BEST_KNOWN : 8806
NODE_COORD_SECTION
1 13 6
2 49 6
3 105 6
4 239 6
5 110 7
6 270 7
7 53 8
8 131 8
9 88 9
10 97 9
11 244 9
12 78 10
13 254 10
14 174 11
15 10 13
16 200 13
17 29 14
18 62 14
19 123 14
20 141 15
21 201 15
22 167 17
23 39 18
24 219 18
25 14 19
26 200 19
27 204 19
28 220 19
29 100 20
30 127 20
31 151 21
32 188 21
33 88 22
34 231 23
35 167 24
36 140 25
37 26 28
38 253 30
39 101 33
40 270 33
41 44 35
42 181 35
43 245 35
44 211 37
45 30 38
46 54 38
47 69 38
48 116 38
49 7 39
50 159 39
51 189 39
52 13 40
53 73 40
54 175 40
55 213 40
56 2 41
57 25 41
58 77 41
59 142 41
60 222 41
61 143 42
62 165 45
63 94 46
64 125 46
65 67 49
66 237 49
67 46 51
68 150 53
69 200 53
70 38 55
71 132 55
72 179 55
73 228 55
74 107 56
75 243 56
76 82 57
77 113 57
78 207 58
79 261 58
80 37 59
81 51 59
82 163 59
83 71 60
84 255 60
85 140 62
86 154 62
87 248 62
88 8 63
89 104 63
90 208 63
91 222 64
92 180 65
93 196 65
94 68 66
95 96 68
96 232 68
97 24 69
98 84 69
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100 40 71
101 267 72
102 121 73
103 180 73
104 217 75
105 120 76
106 259 78
107 58 79
108 120 80
109 250 80
110 20 81
111 59 81
112 107 82
113 218 82
114 246 83
115 31 86
116 98 89
117 15 90
118 140 90
119 226 91
120 75 92
121 154 92
122 240 93
123 20 94
124 160 94
125 0 95
126 149 95
127 45 96
128 113 97
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131 204 97
132 200 98
133 89 99
134 260 99
135 262 99
136 60 101
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139 17 103
140 110 103
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142 240 104
143 90 105
144 164 105
145 221 106
146 3 107
147 24 107
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151 63 110
152 77 110
153 47 111
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155 31 114
156 60 115
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160 36 119
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162 61 121
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171 266 128
172 17 129
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175 42 130
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177 252 131
178 210 133
179 99 134
180 20 135
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182 137 137
183 170 137
184 59 138
185 0 139
186 20 139
187 76 140
188 174 140
189 195 140
190 121 141
191 194 141
192 212 141
193 267 141
194 248 142
195 46 146
196 52 146
197 182 146
198 100 147
199 259 147
200 109 148
201 170 149
202 78 151
203 200 151
204 70 152
205 31 154
206 120 154
207 226 155
208 82 156
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210 158 156
211 138 157
212 137 159
213 171 159
214 240 160
215 2 161
216 13 161
217 113 161
218 255 163
219 141 164
220 201 165
221 175 166
222 60 167
223 232 167
224 84 168
225 124 168
226 170 169
227 58 170
228 190 171
229 187 173
230 36 174
231 46 174
232 107 174
233 116 174
234 269 174
235 3 175
236 14 175
237 158 178
238 249 178
239 21 179
240 95 179
241 213 180
242 11 181
243 76 181
244 179 181
245 224 182
246 28 184
247 236 184
248 51 186
249 60 186
250 119 186
251 148 187
252 218 187
253 140 188
254 266 188
255 30 190
256 76 191
257 163 191
258 94 192
259 103 193
260 188 193
261 228 193
262 152 194
263 193 197
264 246 197
265 252 197
266 1 198
267 73 198
268 86 198
269 125 198
270 7 199
271 206 199
272 207 199
273 44 201
274 55 201
275 158 201
276 30 203
277 25 204
278 44 204
279 231 204
280 260 204
281 120 207
282 175 207
283 185 207
284 228 207
285 265 209
286 68 210
287 166 212
288 191 212
289 15 215
290 109 215
291 82 216
292 130 217
293 97 218
294 37 219
295 147 219
296 238 219
297 243 219
298 219 220
299 68 221
300 113 221
301 171 222
302 23 223
303 130 223
304 243 224
305 6 225
306 86 225
307 106 225
308 193 226
309 224 226
310 186 227
311 145 228
312 160 228
313 14 229
314 258 231
315 270 231
316 97 232
317 47 233
318 155 233
319 58 235
320 210 235
321 119 237
322 130 238
323 67 239
324 220 239
325 80 240
326 152 240
327 56 242
328 30 243
329 254 243
330 140 244
331 230 244
332 92 246
333 117 246
334 220 246
335 50 248
336 145 249
337 194 250
338 184 251
339 71 252
340 175 252
341 250 252
342 226 253
343 15 255
344 36 255
345 120 256
346 83 257
347 104 257
348 170 257
349 208 258
350 99 259
351 162 259
352 9 260
353 82 260
354 152 260
355 253 260
356 21 261
357 267 261
358 44 262
359 16 263
360 141 264
361 210 264
362 220 264
363 9 268
364 175 268
365 79 270
366 50 271
367 267 271
368 196 272
369 239 272
370 113 273
371 68 274
372 127 274
373 187 275
374 243 276
375 140 277
376 89 278
377 108 278
378 219 279
379 229 279
380 150 280
381 160 280
382 32 281
383 178 282
384 11 283
385 200 283
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387 30 285
388 201 285
389 58 289
390 23 290
391 130 290
392 67 291
393 100 291
394 257 291
395 3 292
396 237 292
397 46 293
398 221 294
399 246 296
400 181 297
401 28 299
402 178 299
403 200 299
404 266 299
405 73 300
406 266 300
407 39 301
408 108 301
409 109 301
410 115 301
411 137 301
412 215 301
413 259 302
414 188 304
415 190 304
416 167 307
417 133 308
418 143 309
419 126 310
420 94 312
421 238 312
422 60 315
423 14 316
424 85 316
425 41 317
426 73 317
427 221 318
428 245 318
429 6 319
430 78 319
431 118 319
432 183 319
433 67 320
434 152 321
435 126 323
436 6 324
437 156 324
438 55 325
439 113 325
440 208 325
441 137 326
442 248 326
443 46 328
444 266 329
445 17 330
446 177 330
447 218 330
448 149 331
449 83 333
450 193 333
451 231 333
452 24 334
453 31 335
454 223 336
455 66 337
456 90 337
457 102 337
458 26 339
459 166 339
460 77 340
461 258 340
462 268 344
463 63 345
464 140 346
465 198 346
466 30 348
467 113 348
468 220 348
469 130 349
470 133 349
471 238 349
472 5 350
473 80 350
474 179 350
475 200 350
476 150 352
477 97 354
478 223 354
479 253 354
480 181 356
481 246 356
482 16 358
483 103 359
484 30 360
485 40 360
486 58 360
487 169 360
488 200 361
489 180 362
490 266 362
491 100 365
492 64 366
493 187 366
494 146 367
495 80 368
496 159 368
497 161 368
498 220 368
499 1 369
500 103 369
501 115 373
502 210 373
503 248 374
504 259 374
505 131 375
506 35 376
507 122 376
508 56 378
509 210 378
510 238 378
511 15 379
512 50 379
513 85 379
514 182 379
515 94 381
516 266 383
517 44 384
518 74 384
519 80 384
520 191 384
521 130 385
522 169 385
523 258 385
524 177 389
525 210 391
526 13 392
527 160 392
528 209 392
529 102 393
530 30 394
531 67 395
532 227 397
533 4 398
534 35 398
535 118 398
536 123 398
537 205 399
538 250 399
539 60 400
540 68 400
541 131 400
542 141 400
543 166 400
544 212 400
545 230 400
546 245 400
547 71 401
548 12 404
549 240 404
550 251 404
551 27 405
552 92 406
553 183 406
554 38 410
555 266 410
556 127 411
557 83 412
558 152 413
559 192 413
560 7 415
561 55 416
562 42 418
563 107 418
564 114 419
565 150 419
566 105 420
567 230 420
568 13 421
569 56 421
570 146 421
571 174 421
572 185 421
573 194 421
574 241 421
575 164 422
576 9 423
577 141 423
578 96 424
579 43 425
580 25 431
581 201 431
582 230 432
583 257 432
584 132 434
585 263 434
586 33 435
587 119 435
588 86 436
589 178 436
590 64 437
591 129 437
592 231 437
593 216 438
594 32 439
595 239 439
596 11 440
597 46 440
598 52 440
599 73 440
600 140 442
601 145 442
602 259 442
603 119 443
604 207 443
605 162 444
606 215 445
607 106 447
608 245 447
609 123 448
610 180 450
611 30 451
612 61 451
613 77 453
614 151 453
615 200 453
616 222 453
617 99 455
618 182 456
619 83 457
620 265 458
621 112 459
622 127 459
623 264 459
624 8 460
625 255 460
626 25 462
627 58 462
628 105 462
629 200 462
630 141 463
631 165 464
632 197 464
633 153 465
634 66 466
635 242 466
636 135 467
637 218 467
638 12 468
639 174 468
640 9 469
641 79 469
642 188 469
643 239 475
644 80 476
645 48 478
646 140 479
647 221 480
648 32 481
649 99 481
650 186 481
651 133 483
652 30 484
653 154 484
654 164 485
655 57 486
656 249 486
657 96 487
658 250 487
659 27 488
660 70 489
661 108 489
662 174 489
663 237 489
664 198 491
665 10 492
666 123 492
667 207 492
668 210 493
669 120 494
670 224 495
671 40 498
672 10 499
673 187 499
674 208 499
675 76 500
676 214 500
677 262 500
678 29 501
679 48 501
680 63 501
681 90 501
682 262 501
683 10 503
684 112 504
685 56 506
686 135 506
687 246 508
688 30 509
689 155 509
690 67 510
691 86 510
692 90 512
693 171 513
694 226 513
695 127 517
696 233 518
697 2 519
698 82 519
699 121 519
700 154 519
701 160 519
702 208 519
703 231 519
704 1 520
705 40 520
706 58 520
707 103 520
708 200 520
709 28 521
710 143 521
711 252 521
712 260 521
713 95 525
714 253 525
715 230 527
716 198 528
717 243 528
718 42 533
719 109 533
720 117 533
721 130 534
722 76 535
723 188 536
724 216 536
725 14 538
726 142 538
727 167 539
728 233 539
729 263 539
730 180 540
731 180 541
732 64 542
733 96 543
734 15 544
735 39 544
736 52 544
737 107 545
738 9 546
739 72 546
740 143 546
741 193 546
742 208 547
743 68 548
744 247 549
745 47 550
746 183 552
747 22 553
748 138 553
749 157 553
750 167 553
751 228 553
752 213 555
753 252 557
754 118 558
755 121 558
756 207 559
757 84 560
758 70 561
759 83 562
760 50 564
761 30 565
762 157 565
763 171 565
764 215 565
765 50 566
766 141 568
767 260 569
768 94 570
769 8 571
770 169 571
771 251 574
772 38 576
773 130 577
774 132 577
775 240 578
776 76 579
777 114 579
778 12 580
779 105 580
780 184 580
781 199 580
782 229 580
783 231 580
EOF

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