Packing of unitary-radius circles in a square
Number of items | Side | Item-item Overlap |
Item-object Overlap |
Solution | Files | Number of trials | CPU time in seconds | |
1 | 2.0000000000000000 | -1.0E+99 | 0.0E+00 | IMAGE | csq-mina-1.dat | csq-mina-1.mp | 1 | 0.00 |
2 | 3.4142135623730949 | 2.2E-16 | 0.0E+00 | IMAGE | csq-mina-2.dat | csq-mina-2.mp | 1 | 0.00 |
3 | 3.9318516525781364 | 4.4E-16 | 0.0E+00 | IMAGE | csq-mina-3.dat | csq-mina-3.mp | 12 | 0.01 |
4 | 4.0000000000000000 | 0.0E+00 | 0.0E+00 | IMAGE | csq-mina-4.dat | csq-mina-4.mp | 1 | 0.00 |
5 | 4.8284271247461898 | 2.2E-16 | 8.9E-16 | IMAGE | csq-mina-5.dat | csq-mina-5.mp | 12 | 0.01 |
6 | 5.3282011773513762 | 4.4E-16 | 0.0E+00 | IMAGE | csq-mina-6.dat | csq-mina-6.mp | 38 | 0.48 |
7 | 5.7320508075688776 | 0.0E+00 | 0.0E+00 | IMAGE | csq-mina-7.dat | csq-mina-7.mp | 37 | 2.29 |
8 | 5.8637033051562746 | 8.9E-16 | 0.0E+00 | IMAGE | csq-mina-8.dat | csq-mina-8.mp | 50 | 4.56 |
9 | 6.0000000000000000 | 0.0E+00 | 0.0E+00 | IMAGE | csq-mina-9.dat | csq-mina-9.mp | 4 | 0.69 |
10 | 6.7474415232381135 | 0.0E+00 | 0.0E+00 | IMAGE | csq-mina-10.dat | csq-mina-10.mp | 332 | 43.44 |
11 | 7.0225095034303822 | 2.2E-16 | 0.0E+00 | IMAGE | csq-mina-11.dat | csq-mina-11.mp | 3826 | 456.84 |
12 | 7.1449575542752672 | 0.0E+00 | 0.0E+00 | IMAGE | csq-mina-12.dat | csq-mina-12.mp | 879 | 126.30 |
13 | 7.4631768820241113 | 0.0E+00 | 0.0E+00 | IMAGE | csq-mina-13.dat | csq-mina-13.mp | 15 | 2.96 |
14 | 7.7320508075688776 | 0.0E+00 | 0.0E+00 | IMAGE | csq-mina-14.dat | csq-mina-14.mp | 44 | 13.44 |
15 | 7.8637033051562764 | 2.2E-16 | 0.0E+00 | IMAGE | csq-mina-15.dat | csq-mina-15.mp | 812 | 135.58 |
16 | 8.0000000000000000 | 0.0E+00 | 0.0E+00 | IMAGE | csq-mina-16.dat | csq-mina-16.mp | 1 | 0.00 |
17 | 8.5326603474980978 | 0.0E+00 | 0.0E+00 | IMAGE | csq-mina-17.dat | csq-mina-17.mp | 483 | 109.89 |
18 | 8.6564023547027524 | 0.0E+00 | 0.0E+00 | IMAGE | csq-mina-18.dat | csq-mina-18.mp | 52 | 13.93 |
19 | 8.9074609393260822 | 4.4E-16 | 0.0E+00 | IMAGE | csq-mina-19.dat | csq-mina-19.mp | 14 | 5.78 |
20 | 8.9780833528217379 | 0.0E+00 | 0.0E+00 | IMAGE | csq-mina-20.dat | csq-mina-20.mp | 13 | 5.56 |
21 | 9.3580199588727577 | 1.1E-15 | 0.0E+00 | IMAGE | csq-mina-21.dat | csq-mina-21.mp | 3374 | 758.56 |
22 | 9.4639295431339381 | 0.0E+00 | 0.0E+00 | IMAGE | csq-mina-22.dat | csq-mina-22.mp | 49 | 12.73 |
23 | 9.7274066103125492 | 2.2E-16 | 0.0E+00 | IMAGE | csq-mina-23.dat | csq-mina-23.mp | 32325 | 4447.51 |
24 | 9.8637033051562764 | 2.2E-16 | 0.0E+00 | IMAGE | csq-mina-24.dat | csq-mina-24.mp | 974 | 233.46 |
25 | 10.0000000000000000 | 0.0E+00 | 0.0E+00 | IMAGE | csq-mina-25.dat | csq-mina-25.mp | 2 | 0.84 |
26 | 10.3774982039134294 | 4.4E-16 | 0.0E+00 | IMAGE | csq-mina-26.dat | csq-mina-26.mp | 303 | 96.25 |
27 | 10.4799830400508842 | 0.0E+00 | 0.0E+00 | IMAGE | csq-mina-27.dat | csq-mina-27.mp | 3556 | 974.71 |
28 | 10.6754536943453164 | 4.4E-16 | 0.0E+00 | IMAGE | csq-mina-28.dat | csq-mina-28.mp | 311 | 80.53 |
29 | 10.8151200175936939 | 4.4E-16 | 0.0E+00 | IMAGE | csq-mina-29.dat | csq-mina-29.mp | 52 | 21.42 |
30 | 10.9085683308339956 | 4.4E-16 | 0.0E+00 | IMAGE | csq-mina-30.dat | csq-mina-30.mp | 79 | 28.21 |
31 | 11.1934033520469818 | 6.7E-16 | 0.0E+00 | IMAGE | csq-mina-31.dat | csq-mina-31.mp | 493 | 155.25 |
32 | 11.3819824265232441 | 8.9E-16 | 0.0E+00 | IMAGE | csq-mina-32.dat | csq-mina-32.mp | 1814 | 438.73 |
33 | 11.4641016151377571 | 4.4E-16 | 0.0E+00 | IMAGE | csq-mina-33.dat | csq-mina-33.mp | 348 | 115.67 |
34 | 11.7274066103125492 | 8.9E-16 | 0.0E+00 | IMAGE | csq-mina-34.dat | csq-mina-34.mp | 42149 | 6428.40 |
35 | 11.8637033051562764 | 2.2E-16 | 0.0E+00 | IMAGE | csq-mina-35.dat | csq-mina-35.mp | 7606 | 1802.77 |
36 | 12.0000000000000000 | 0.0E+00 | 0.0E+00 | IMAGE | csq-mina-36.dat | csq-mina-36.mp | 31 | 29.29 |
37 | 12.1818588307319349 | -4.4E-16 | 0.0E+00 | IMAGE | csq-mina-37.dat | csq-mina-37.mp | 31152 | 6577.27 |
38 | 12.2389635913615287 | -4.4E-16 | 0.0E+00 | IMAGE | csq-mina-38.dat | csq-mina-38.mp | 29388 | 6889.47 |
39 | 12.2899151085505363 | 0.0E+00 | 0.0E+00 | IMAGE | csq-mina-39.dat | csq-mina-39.mp | 215 | 112.60 |
40 | 12.6283749264972833 | 0.0E+00 | 0.0E+00 | IMAGE | csq-mina-40.dat | csq-mina-40.mp | 6435 | 2133.86 |
41 | 12.7469384531873313 | 4.4E-16 | 0.0E+00 | IMAGE | csq-mina-41.dat | csq-mina-41.mp | 437 | 198.40 |
42 | 12.8532221454500828 | 0.0E+00 | 0.0E+00 | IMAGE | csq-mina-42.dat | csq-mina-42.mp | 179 | 67.83 |
43 | 13.0994720835212828 | 0.0E+00 | 0.0E+00 | IMAGE | csq-mina-43.dat | csq-mina-43.mp | 6654 | 2055.75 |
44 | 13.1958675394493774 | 0.0E+00 | 0.0E+00 | IMAGE | csq-mina-44.dat | csq-mina-44.mp | 34089 | 8522.40 |
45 | 13.3819824265232477 | 0.0E+00 | 0.0E+00 | IMAGE | csq-mina-45.dat | csq-mina-45.mp | 1491 | 510.51 |
46 | 13.4641016151377588 | 0.0E+00 | 0.0E+00 | IMAGE | csq-mina-46.dat | csq-mina-46.mp | 370 | 151.07 |
47 | 13.6775877082279198 | 2.2E-16 | 0.0E+00 | IMAGE | csq-mina-47.dat | csq-mina-47.mp | 15616 | 4731.81 |
48 | 13.8059970535441412 | 4.4E-16 | 0.0E+00 | IMAGE | csq-mina-48.dat | csq-mina-48.mp | 6762 | 2214.69 |
49 | 13.9484250865937067 | 4.4E-16 | 0.0E+00 | IMAGE | csq-mina-49.dat | csq-mina-49.mp | 3335 | 1334.68 |
50 | 14.0124815721935416 | 0.0E+00 | 0.0E+00 | IMAGE | csq-mina-50.dat | csq-mina-50.mp | 42076 | 12245.42 |