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 2.0000000000 2.0000000000 0.0E+00 0.0E+00 IMAGE cr-mina-1.dat cr-mina-1.mp 1 0.00
2 2.0000000000 3.9994547642 5.5E-04 0.0E+00 IMAGE cr-mina-2.dat cr-mina-2.mp 1 0.00
3 5.9991345164 2.0000000000 4.3E-04 0.0E+00 IMAGE cr-mina-3.dat cr-mina-3.mp 1 0.00
4 3.9996565400 3.9996565400 3.4E-04 1.2E-11 IMAGE cr-mina-4.dat cr-mina-4.mp 3 0.29
5 2.0000000000 9.9986261610 3.4E-04 6.0E-14 IMAGE cr-mina-5.dat cr-mina-5.mp 1 0.00
6 5.9994299921 3.9997150028 2.9E-04 1.3E-11 IMAGE cr-mina-6.dat cr-mina-6.mp 3 0.48
7 2.0000000000 13.9981998250 3.0E-04 0.0E+00 IMAGE cr-mina-7.dat cr-mina-7.mp 7 0.99
8 3.9997993110 7.9993979180 2.0E-04 4.0E-12 IMAGE cr-mina-8.dat cr-mina-8.mp 9 2.23
9 5.9996222843 5.9996222843 1.9E-04 3.3E-12 IMAGE cr-mina-9.dat cr-mina-9.mp 2 0.00
10 3.9998161178 9.9992644508 1.8E-04 3.9E-12 IMAGE cr-mina-10.dat cr-mina-10.mp 1 0.00
11 7.9987047809 5.4634407024 5.0E-04 4.1E-10 IMAGE cr-mina-11.dat cr-mina-11.mp 70 15.87
12 5.9990863749 7.9986295356 4.6E-04 2.4E-10 IMAGE cr-mina-12.dat cr-mina-12.mp 17 5.90
13 25.9938432497 2.0000000000 5.1E-04 0.0E+00 IMAGE cr-mina-13.dat cr-mina-13.mp 23 10.13
14 5.4635325793 9.9984346514 4.6E-04 3.7E-10 IMAGE cr-mina-14.dat cr-mina-14.mp 48 17.31
15 7.4630923328 7.9988353651 4.8E-04 3.1E-10 IMAGE cr-mina-15.dat cr-mina-15.mp 78 19.53
16 16.9966762489 3.7318388122 5.7E-04 5.1E-10 IMAGE cr-mina-16.dat cr-mina-16.mp 43 20.11
17 11.9981939658 5.4635902166 4.3E-04 3.4E-10 IMAGE cr-mina-17.dat cr-mina-17.mp 117 41.51
18 18.9964440023 3.7318475438 5.5E-04 4.9E-10 IMAGE cr-mina-18.dat cr-mina-18.mp 209 82.08
19 9.9985864965 7.4632082242 4.4E-04 2.8E-10 IMAGE cr-mina-19.dat cr-mina-19.mp 17 10.11
20 13.9979711566 5.4636308244 4.0E-04 3.2E-10 IMAGE cr-mina-20.dat cr-mina-20.mp 1 0.01
21 14.9975772973 5.4636886104 5.9E-04 3.8E-10 IMAGE cr-mina-21.dat cr-mina-21.mp 1 0.01
22 22.9960005512 3.7318614400 5.2E-04 4.5E-10 IMAGE cr-mina-22.dat cr-mina-22.mp 51 30.23
23 15.9977610644 5.4636615016 3.8E-04 3.0E-10 IMAGE cr-mina-23.dat cr-mina-23.mp 11 9.60
24 16.9973842151 5.4637089641 5.7E-04 3.5E-10 IMAGE cr-mina-24.dat cr-mina-24.mp 71 46.01
25 25.9956839018 3.7318697115 5.0E-04 3.1E-10 IMAGE cr-mina-25.dat cr-mina-25.mp 50 29.22
26 17.9975609058 5.4636857741 3.7E-04 2.9E-10 IMAGE cr-mina-26.dat cr-mina-26.mp 246 145.54
27 18.9971982173 5.4637257927 5.5E-04 3.3E-10 IMAGE cr-mina-27.dat cr-mina-27.mp 18 11.45
28 8.9273321305 11.9985828103 3.6E-04 3.0E-10 IMAGE cr-mina-28.dat cr-mina-28.mp 191 104.68
29 19.9973689183 5.4637056254 3.5E-04 2.8E-10 IMAGE cr-mina-29.dat cr-mina-29.mp 145 97.30
30 5.4637400405 20.9970183919 5.3E-04 3.1E-10 IMAGE cr-mina-30.dat cr-mina-30.mp 18 12.44
31 7.4633846242 15.9979597338 3.7E-04 2.2E-10 IMAGE cr-mina-31.dat cr-mina-31.mp 56 31.17
32 5.4637222711 21.9971838652 3.4E-04 2.7E-10 IMAGE cr-mina-32.dat cr-mina-32.mp 239 216.93
33 8.9273990398 13.9984103697 3.4E-04 2.8E-10 IMAGE cr-mina-33.dat cr-mina-33.mp 1 0.02
34 17.9977228032 7.1956075610 4.0E-04 3.1E-10 IMAGE cr-mina-34.dat cr-mina-34.mp 200 169.02
35 5.4637365040 23.9970048173 3.3E-04 2.6E-10 IMAGE cr-mina-35.dat cr-mina-35.mp 69 65.84
36 24.9966743828 5.4637630915 5.1E-04 2.9E-10 IMAGE cr-mina-36.dat cr-mina-36.mp 259 222.77
37 25.8578787169 5.4637358338 5.0E-04 2.8E-10 IMAGE cr-mina-37.dat cr-mina-37.mp 18 24.04
38 25.9968310515 5.4637488666 3.2E-04 2.5E-10 IMAGE cr-mina-38.dat cr-mina-38.mp 69 43.73
39 26.9965090852 5.4637726295 4.9E-04 2.8E-10 IMAGE cr-mina-39.dat cr-mina-39.mp 335 363.34
40 7.1956410497 20.9974831288 3.8E-04 2.9E-10 IMAGE cr-mina-40.dat cr-mina-40.mp 428 391.69
41 27.9966619868 5.4637597441 3.1E-04 2.4E-10 IMAGE cr-mina-41.dat cr-mina-41.mp 269 275.29
42 21.9971608203 7.1956025496 4.1E-04 7.9E-07 IMAGE cr-mina-42.dat cr-mina-42.mp 3043 3457.03
43 8.9274901429 17.9980933123 3.1E-04 2.5E-10 IMAGE cr-mina-43.dat cr-mina-43.mp 358 456.32
44 5.4637694187 29.9964971470 3.0E-04 2.4E-10 IMAGE cr-mina-44.dat cr-mina-44.mp 1227 1689.98
45 30.9961898134 5.4637888824 4.7E-04 2.6E-10 IMAGE cr-mina-45.dat cr-mina-45.mp 406 559.02
46 23.9972574437 7.1956672420 3.7E-04 2.8E-10 IMAGE cr-mina-46.dat cr-mina-46.mp 352 499.52
47 31.9963361352 5.4637781024 3.0E-04 2.3E-10 IMAGE cr-mina-47.dat cr-mina-47.mp 368 553.34
48 8.9275232377 19.9979450130 2.9E-04 2.4E-10 IMAGE cr-mina-48.dat cr-mina-48.mp 2327 3383.90
49 33.9945655425 5.4637306400 7.6E-04 5.9E-09 IMAGE cr-mina-49.dat cr-mina-49.mp 160 227.41
50 33.9961786161 5.4637859581 2.9E-04 2.3E-10 IMAGE cr-mina-50.dat cr-mina-50.mp 79 92.48
55 22.9976175240 8.9275832375 3.5E-04 2.2E-10 IMAGE cr-mina-55.dat cr-mina-55.mp 1986 3408.38
60 12.3913421248 17.9983545775 2.7E-04 2.2E-10 IMAGE cr-mina-60.dat cr-mina-60.mp 2882 5640.32
65 43.9954346000 5.4638164895 2.7E-04 2.1E-10 IMAGE cr-mina-65.dat cr-mina-65.mp 312 707.20
70 28.9972283659 8.9276367873 3.3E-04 2.0E-10 IMAGE cr-mina-70.dat cr-mina-70.mp 4282 11688.82
75 30.9971052432 8.9276510682 3.2E-04 2.0E-10 IMAGE cr-mina-75.dat cr-mina-75.mp 131 483.01
80 32.9969839021 8.9276638633 3.1E-04 1.9E-10 IMAGE cr-mina-80.dat cr-mina-80.mp 724 3543.59
85 8.9276756174 34.9968654011 3.1E-04 1.9E-10 IMAGE cr-mina-85.dat cr-mina-85.mp 601 3293.94
90 30.9978987556 10.6597334412 2.3E-04 6.1E-11 IMAGE cr-mina-90.dat cr-mina-90.mp 374 2550.07
95 27.9982222555 12.3916727778 1.8E-04 5.3E-11 IMAGE cr-mina-95.dat cr-mina-95.mp 1385 8417.07
100 27.9982222555 12.3916727778 1.8E-04 5.3E-11 IMAGE cr-mina-100.dat cr-mina-100.mp 1385 10215.74