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 | 1.9999986363 | 0.0E+00 | 9.4E-07 | IMAGE | csq-mina-1.dat | csq-mina-1.mp | 1 | 0.00 |
2 | 3.4137477127 | 6.6E-04 | 7.4E-14 | IMAGE | csq-mina-2.dat | csq-mina-2.mp | 1 | 0.00 |
3 | 3.9313808636 | 5.4E-04 | 4.0E-14 | IMAGE | csq-mina-3.dat | csq-mina-3.mp | 12 | 0.01 |
4 | 3.9996299811 | 3.7E-04 | 2.2E-15 | IMAGE | csq-mina-4.dat | csq-mina-4.mp | 1 | 0.00 |
5 | 4.8279613489 | 3.3E-04 | 8.9E-16 | IMAGE | csq-mina-5.dat | csq-mina-5.mp | 1 | 0.00 |
6 | 5.3277596117 | 2.7E-04 | 1.7E-13 | IMAGE | csq-mina-6.dat | csq-mina-6.mp | 38 | 0.56 |
7 | 5.7315971190 | 2.7E-04 | 4.4E-13 | IMAGE | csq-mina-7.dat | csq-mina-7.mp | 16 | 1.19 |
8 | 5.8632353309 | 2.7E-04 | 1.5E-13 | IMAGE | csq-mina-8.dat | csq-mina-8.mp | 50 | 5.69 |
9 | 5.9995518554 | 2.2E-04 | 0.0E+00 | IMAGE | csq-mina-9.dat | csq-mina-9.mp | 4 | 0.74 |
10 | 6.7466961038 | 3.8E-04 | 5.3E-11 | IMAGE | csq-mina-10.dat | csq-mina-10.mp | 148 | 23.07 |
11 | 7.0210502213 | 8.5E-04 | 2.1E-10 | IMAGE | csq-mina-11.dat | csq-mina-11.mp | 14 | 1.95 |
12 | 7.1437936464 | 4.5E-04 | 2.4E-12 | IMAGE | csq-mina-12.dat | csq-mina-12.mp | 22 | 5.32 |
13 | 7.4630289424 | 5.1E-04 | 3.5E-11 | IMAGE | csq-mina-13.dat | csq-mina-13.mp | 191 | 32.21 |
14 | 7.7309165102 | 5.8E-04 | 2.7E-10 | IMAGE | csq-mina-14.dat | csq-mina-14.mp | 15 | 4.60 |
15 | 7.8626415945 | 4.5E-04 | 5.2E-11 | IMAGE | csq-mina-15.dat | csq-mina-15.mp | 812 | 148.67 |
16 | 7.9989556782 | 3.5E-04 | 5.0E-13 | IMAGE | csq-mina-16.dat | csq-mina-16.mp | 1 | 0.00 |
17 | 8.5309003541 | 7.3E-04 | 1.3E-09 | IMAGE | csq-mina-17.dat | csq-mina-17.mp | 615 | 131.41 |
18 | 8.6552029299 | 3.6E-04 | 4.6E-12 | IMAGE | csq-mina-18.dat | csq-mina-18.mp | 52 | 13.27 |
19 | 8.9061300551 | 4.9E-04 | 1.1E-08 | IMAGE | csq-mina-19.dat | csq-mina-19.mp | 9 | 3.20 |
20 | 8.9768656326 | 6.4E-04 | 2.7E-10 | IMAGE | csq-mina-20.dat | csq-mina-20.mp | 13 | 4.31 |
21 | 9.3563084678 | 7.4E-04 | 2.3E-08 | IMAGE | csq-mina-21.dat | csq-mina-21.mp | 208 | 60.78 |
22 | 9.4622675308 | 5.1E-04 | 1.3E-07 | IMAGE | csq-mina-22.dat | csq-mina-22.mp | 107 | 22.41 |
23 | 9.7309291904 | 4.8E-04 | 1.1E-10 | IMAGE | csq-mina-23.dat | csq-mina-23.mp | 38 | 9.34 |
24 | 9.8625920424 | 3.9E-04 | 2.3E-10 | IMAGE | csq-mina-24.dat | csq-mina-24.mp | 974 | 223.51 |
25 | 9.9989092425 | 2.7E-04 | 5.4E-12 | IMAGE | csq-mina-25.dat | csq-mina-25.mp | 2 | 0.03 |
26 | 10.3761296161 | 5.5E-04 | 2.6E-07 | IMAGE | csq-mina-26.dat | csq-mina-26.mp | 10 | 2.35 |
27 | 10.4788058721 | 2.8E-04 | 4.5E-12 | IMAGE | csq-mina-27.dat | csq-mina-27.mp | 268 | 70.48 |
28 | 10.6754220133 | 5.5E-04 | 8.3E-09 | IMAGE | csq-mina-28.dat | csq-mina-28.mp | 384 | 92.88 |
29 | 10.8137503471 | 8.0E-04 | 1.2E-09 | IMAGE | csq-mina-29.dat | csq-mina-29.mp | 50 | 16.81 |
30 | 10.9072687500 | 5.0E-04 | 2.7E-10 | IMAGE | csq-mina-30.dat | csq-mina-30.mp | 79 | 23.47 |
31 | 11.1915352105 | 6.1E-04 | 1.2E-08 | IMAGE | csq-mina-31.dat | csq-mina-31.mp | 375 | 102.02 |
32 | 11.3803881756 | 5.7E-04 | 3.3E-09 | IMAGE | csq-mina-32.dat | csq-mina-32.mp | 257 | 53.67 |
33 | 11.4625012404 | 3.9E-04 | 1.2E-07 | IMAGE | csq-mina-33.dat | csq-mina-33.mp | 35 | 8.58 |
34 | 11.7309249171 | 4.1E-04 | 1.3E-10 | IMAGE | csq-mina-34.dat | csq-mina-34.mp | 228 | 50.41 |
35 | 11.8625361315 | 3.9E-04 | 4.2E-10 | IMAGE | csq-mina-35.dat | csq-mina-35.mp | 4564 | 1029.51 |
36 | 11.9988792034 | 2.2E-04 | 4.8E-13 | IMAGE | csq-mina-36.dat | csq-mina-36.mp | 31 | 16.93 |
37 | 12.1804216686 | 3.2E-04 | 2.7E-08 | IMAGE | csq-mina-37.dat | csq-mina-37.mp | 1011 | 297.64 |
38 | 12.2374434375 | 5.2E-04 | 2.2E-07 | IMAGE | csq-mina-38.dat | csq-mina-38.mp | 4803 | 1318.76 |
39 | 12.2887512850 | 2.3E-04 | 7.7E-11 | IMAGE | csq-mina-39.dat | csq-mina-39.mp | 215 | 83.36 |
40 | 12.6267382011 | 7.6E-04 | 8.1E-08 | IMAGE | csq-mina-40.dat | csq-mina-40.mp | 56 | 20.97 |
41 | 12.7456257952 | 6.4E-04 | 8.5E-09 | IMAGE | csq-mina-41.dat | csq-mina-41.mp | 166 | 64.72 |
42 | 12.8518646718 | 4.5E-04 | 1.2E-10 | IMAGE | csq-mina-42.dat | csq-mina-42.mp | 179 | 59.08 |
43 | 13.0972405183 | 8.7E-04 | 4.5E-08 | IMAGE | csq-mina-43.dat | csq-mina-43.mp | 6654 | 1698.42 |
44 | 13.1939383256 | 5.0E-04 | 2.9E-07 | IMAGE | csq-mina-44.dat | csq-mina-44.mp | 173 | 54.16 |
45 | 13.3803865970 | 5.7E-04 | 3.7E-09 | IMAGE | csq-mina-45.dat | csq-mina-45.mp | 192 | 39.47 |
46 | 13.4626063029 | 3.2E-04 | 1.4E-07 | IMAGE | csq-mina-46.dat | csq-mina-46.mp | 213 | 52.13 |
47 | 13.6751033111 | 7.7E-04 | 1.9E-08 | IMAGE | csq-mina-47.dat | csq-mina-47.mp | 475 | 119.72 |
48 | 13.8047806547 | 3.2E-04 | 3.1E-10 | IMAGE | csq-mina-48.dat | csq-mina-48.mp | 2748 | 753.35 |
49 | 13.9472637804 | 3.9E-04 | 1.9E-10 | IMAGE | csq-mina-49.dat | csq-mina-49.mp | 3335 | 1011.08 |
50 | 14.0083589613 | 4.6E-04 | 5.5E-07 | IMAGE | csq-mina-50.dat | csq-mina-50.mp | 1315 | 437.59 |
55 | 14.6923955360 | 5.8E-04 | 1.9E-09 | IMAGE | csq-mina-55.dat | csq-mina-55.mp | 2 | 0.19 |
60 | 15.3755552334 | 7.8E-04 | 1.5E-07 | IMAGE | csq-mina-60.dat | csq-mina-60.mp | 512 | 204.70 |
65 | 15.8203131072 | 3.5E-04 | 1.1E-08 | IMAGE | csq-mina-65.dat | csq-mina-65.mp | 6848 | 3559.31 |
70 | 16.4998033416 | 5.9E-04 | 1.3E-08 | IMAGE | csq-mina-70.dat | csq-mina-70.mp | 11360 | 6237.46 |
75 | 17.0956713219 | 8.1E-04 | 2.3E-08 | IMAGE | csq-mina-75.dat | csq-mina-75.mp | 18817 | 10339.88 |
80 | 17.4293700602 | 1.6E-04 | 2.8E-10 | IMAGE | csq-mina-80.dat | csq-mina-80.mp | 8661 | 6661.87 |
85 | 17.9585744521 | 6.6E-04 | 2.0E-07 | IMAGE | csq-mina-85.dat | csq-mina-85.mp | 12261 | 11589.59 |
90 | 18.6092727313 | 5.2E-04 | 2.7E-10 | IMAGE | csq-mina-90.dat | csq-mina-90.mp | 9824 | 10765.19 |
95 | 19.0830329823 | 4.8E-04 | 1.0E-07 | IMAGE | csq-mina-95.dat | csq-mina-95.mp | 5790 | 7871.10 |
100 | 19.4522055083 | 6.4E-04 | 2.0E-08 | IMAGE | csq-mina-100.dat | csq-mina-100.mp | 987 | 1678.37 |