Packing of unitary-radius circles in a rectangle (minimizing area)
Number of items | Length | Width | Item-item Overlap |
Item-object Overlap |
Solution | Files | Number of trials | CPU time in seconds | |
1 | 2.0000000000000000 | 2.0000000000000000 | 0.0E+00 | 0.0E+00 | IMAGE | cr-mina-1.dat | cr-mina-1.mp | 1 | 0.00 |
2 | 4.0000000000000000 | 2.0000000000000000 | 0.0E+00 | 0.0E+00 | IMAGE | cr-mina-2.dat | cr-mina-2.mp | 1 | 0.00 |
3 | 6.0000000000000000 | 2.0000000000000000 | 0.0E+00 | 0.0E+00 | IMAGE | cr-mina-3.dat | cr-mina-3.mp | 1 | 0.00 |
4 | 8.0000000000000000 | 2.0000000000000000 | 0.0E+00 | 0.0E+00 | IMAGE | cr-mina-4.dat | cr-mina-4.mp | 1 | 0.00 |
5 | 10.0000000000000000 | 2.0000000000000000 | 0.0E+00 | 0.0E+00 | IMAGE | cr-mina-5.dat | cr-mina-5.mp | 1 | 0.00 |
6 | 4.0000000000000000 | 6.0000000000000000 | 0.0E+00 | 0.0E+00 | IMAGE | cr-mina-6.dat | cr-mina-6.mp | 3 | 0.34 |
7 | 2.0000000000000000 | 14.0000000000000000 | 0.0E+00 | 0.0E+00 | IMAGE | cr-mina-7.dat | cr-mina-7.mp | 7 | 0.66 |
8 | 8.0000000000000000 | 4.0000000000000000 | 0.0E+00 | 0.0E+00 | IMAGE | cr-mina-8.dat | cr-mina-8.mp | 9 | 1.50 |
9 | 6.0000000000000000 | 6.0000000000000000 | 0.0E+00 | 0.0E+00 | IMAGE | cr-mina-9.dat | cr-mina-9.mp | 2 | 0.01 |
10 | 10.0000000000000000 | 4.0000000000000000 | 0.0E+00 | 0.0E+00 | IMAGE | cr-mina-10.dat | cr-mina-10.mp | 1 | 0.00 |
11 | 8.0000000000000018 | 5.4641016151377553 | 0.0E+00 | 0.0E+00 | IMAGE | cr-mina-11.dat | cr-mina-11.mp | 70 | 11.20 |
12 | 8.0000000000000000 | 6.0000000000000000 | 0.0E+00 | 0.0E+00 | IMAGE | cr-mina-12.dat | cr-mina-12.mp | 17 | 4.40 |
13 | 26.0000000000000000 | 2.0000000000000000 | 0.0E+00 | 0.0E+00 | IMAGE | cr-mina-13.dat | cr-mina-13.mp | 23 | 7.24 |
14 | 5.4641016151377553 | 10.0000000000000018 | 0.0E+00 | 0.0E+00 | IMAGE | cr-mina-14.dat | cr-mina-14.mp | 48 | 12.46 |
15 | 3.7320508075688776 | 16.0000000000000036 | 0.0E+00 | 0.0E+00 | IMAGE | cr-mina-15.dat | cr-mina-15.mp | 37 | 8.70 |
16 | 3.7320508075688776 | 17.0000000000000036 | 0.0E+00 | 0.0E+00 | IMAGE | cr-mina-16.dat | cr-mina-16.mp | 43 | 15.01 |
17 | 5.4641016151377553 | 12.0000000000000018 | 0.0E+00 | 0.0E+00 | IMAGE | cr-mina-17.dat | cr-mina-17.mp | 117 | 31.35 |
18 | 3.7320508075688776 | 19.0000000000000036 | 0.0E+00 | 0.0E+00 | IMAGE | cr-mina-18.dat | cr-mina-18.mp | 209 | 61.10 |
19 | 7.4641016151377562 | 10.0000000000000018 | 0.0E+00 | 0.0E+00 | IMAGE | cr-mina-19.dat | cr-mina-19.mp | 17 | 8.64 |
20 | 14.0000000000000036 | 5.4641016151377553 | 0.0E+00 | 0.0E+00 | IMAGE | cr-mina-20.dat | cr-mina-20.mp | 1 | 0.01 |
21 | 15.0000000000000036 | 5.4641016151377553 | 0.0E+00 | 0.0E+00 | IMAGE | cr-mina-21.dat | cr-mina-21.mp | 1 | 0.02 |
22 | 3.7320508075688776 | 23.0000000000000036 | 0.0E+00 | 0.0E+00 | IMAGE | cr-mina-22.dat | cr-mina-22.mp | 51 | 26.52 |
23 | 5.4641016151377553 | 16.0000000000000036 | 0.0E+00 | 0.0E+00 | IMAGE | cr-mina-23.dat | cr-mina-23.mp | 11 | 8.07 |
24 | 5.4641016151377553 | 17.0000000000000036 | 0.0E+00 | 0.0E+00 | IMAGE | cr-mina-24.dat | cr-mina-24.mp | 71 | 35.01 |
25 | 3.7320508075688776 | 26.0000000000000071 | 0.0E+00 | 0.0E+00 | IMAGE | cr-mina-25.dat | cr-mina-25.mp | 50 | 23.36 |
26 | 5.4641016151377553 | 18.0000000000000036 | 0.0E+00 | 0.0E+00 | IMAGE | cr-mina-26.dat | cr-mina-26.mp | 246 | 114.36 |
27 | 5.4641016151377553 | 19.0000000000000036 | 0.0E+00 | 0.0E+00 | IMAGE | cr-mina-27.dat | cr-mina-27.mp | 18 | 10.10 |
28 | 12.0000000000000036 | 8.9282032302755123 | 4.4E-16 | 0.0E+00 | IMAGE | cr-mina-28.dat | cr-mina-28.mp | 191 | 80.71 |
29 | 20.0000000000000036 | 5.4641016151377553 | 0.0E+00 | 0.0E+00 | IMAGE | cr-mina-29.dat | cr-mina-29.mp | 145 | 82.37 |
30 | 5.4641016151377553 | 21.0000000000000036 | 0.0E+00 | 0.0E+00 | IMAGE | cr-mina-30.dat | cr-mina-30.mp | 18 | 10.10 |
31 | 3.7320508075688776 | 32.0000000000000071 | 0.0E+00 | 0.0E+00 | IMAGE | cr-mina-31.dat | cr-mina-31.mp | 120 | 58.06 |
32 | 5.4641016151377553 | 22.0000000000000036 | 0.0E+00 | 0.0E+00 | IMAGE | cr-mina-32.dat | cr-mina-32.mp | 239 | 176.39 |
33 | 14.0000000000000053 | 8.9282032302755123 | 0.0E+00 | 0.0E+00 | IMAGE | cr-mina-33.dat | cr-mina-33.mp | 2487 | 1687.60 |
34 | 7.1961524227066338 | 18.0000000000000036 | 0.0E+00 | 0.0E+00 | IMAGE | cr-mina-34.dat | cr-mina-34.mp | 200 | 140.46 |
35 | 24.0000000000000036 | 5.4641016151377553 | 0.0E+00 | 0.0E+00 | IMAGE | cr-mina-35.dat | cr-mina-35.mp | 69 | 53.59 |
36 | 25.0000000000000071 | 5.4641016151377553 | 0.0E+00 | 0.0E+00 | IMAGE | cr-mina-36.dat | cr-mina-36.mp | 259 | 185.56 |
37 | 5.4641016151377553 | 25.8612097182042078 | 0.0E+00 | 0.0E+00 | IMAGE | cr-mina-37.dat | cr-mina-37.mp | 2907 | 2353.71 |
38 | 26.0000000000000071 | 5.4641016151377553 | 0.0E+00 | 0.0E+00 | IMAGE | cr-mina-38.dat | cr-mina-38.mp | 69 | 38.55 |
39 | 27.0000000000000071 | 5.4641016151377553 | 0.0E+00 | 0.0E+00 | IMAGE | cr-mina-39.dat | cr-mina-39.mp | 335 | 301.99 |
40 | 7.1961524227066338 | 21.0000000000000036 | 0.0E+00 | 0.0E+00 | IMAGE | cr-mina-40.dat | cr-mina-40.mp | 428 | 333.47 |
41 | 5.4641016151377553 | 28.0000000000000071 | 0.0E+00 | 0.0E+00 | IMAGE | cr-mina-41.dat | cr-mina-41.mp | 269 | 244.77 |
42 | 22.0000000000000036 | 7.1961524227066338 | 0.0E+00 | 0.0E+00 | IMAGE | cr-mina-42.dat | cr-mina-42.mp | 297 | 285.47 |
43 | 18.0000000000000071 | 8.9282032302755123 | 4.4E-16 | 0.0E+00 | IMAGE | cr-mina-43.dat | cr-mina-43.mp | 358 | 389.22 |
44 | 5.4641016151377553 | 30.0000000000000071 | 0.0E+00 | 0.0E+00 | IMAGE | cr-mina-44.dat | cr-mina-44.mp | 1227 | 1447.03 |
45 | 5.4641016151377553 | 31.0000000000000071 | 0.0E+00 | 0.0E+00 | IMAGE | cr-mina-45.dat | cr-mina-45.mp | 406 | 503.78 |
46 | 7.1961524227066338 | 24.0000000000000036 | 0.0E+00 | 0.0E+00 | IMAGE | cr-mina-46.dat | cr-mina-46.mp | 352 | 485.91 |
47 | 5.4641016151377553 | 32.0000000000000071 | 0.0E+00 | 0.0E+00 | IMAGE | cr-mina-47.dat | cr-mina-47.mp | 368 | 520.40 |
48 | 20.0000000000000071 | 8.9282032302755123 | 4.4E-16 | 0.0E+00 | IMAGE | cr-mina-48.dat | cr-mina-48.mp | 2327 | 3034.99 |
49 | 5.4641016151377553 | 33.8612097182042078 | 0.0E+00 | 0.0E+00 | IMAGE | cr-mina-49.dat | cr-mina-49.mp | 3538 | 5101.41 |
50 | 5.4641016151377553 | 34.0000000000000071 | 0.0E+00 | 0.0E+00 | IMAGE | cr-mina-50.dat | cr-mina-50.mp | 79 | 83.78 |