August 28 2002 8:10:59.654 AM CLUSTER_ENERGY Compute the cluster energy of a set of points. RANDOM_INITIALIZE Initialize RANDOM_NUMBER with user SEED = 1234567 Enter spatial dimension DIM_NUM The region is assumed to be an interval [A,B], or a rectangle [A(1),B(1)] x [A(2),B(2)], or a generalized box, described by a set of lower and upper bounds. Enter all the lower bounds for the region, then the upper bounds: The program will place a number of data points in the region. Enter the number of data points POINT_NUM The data points can be randomly or regularly placed. Enter 1 for uniform random data, 2 for uniform grid For a given number of clusters, the program will seek the minimal energy. Usually, we do this calculation for a range of clusters, so we end up with a table of clusters versus energy. Enter the lower and upper number of clusters To seek the minimal energy, the program carries out an iteration. Usually, we specify a lower and upper limit for the number of iterations. Enter the lower and upper number of energy iterations INPUT_CHECK - The input data passed all checks. INPUT_PRINT: Number of spatial dimensions = 2 Lower and upper region bounds: 0.000000 1.000000 0.000000 1.000000 Number of data points = 25 Lowest number of clusters = 1 Highest number of clusters = 10 Least number of energy iterations = 10 Most number of energy iterations = 20 Data points will be uniform random values. Number of clusters = 1 Initial energy = 4.46626 1 25 0.4216 0.5746 Energy with old centers, new clusters = 4.46626 Energy with new centers, new clusters = 4.00269 1 25 0.4216 0.5746 0.5346 0.4985 Energy with old centers, new clusters = 4.00269 Energy with new centers, new clusters = 4.00269 1 25 0.5346 0.4985 0.5346 0.4985 Energy with old centers, new clusters = 4.00269 Energy with new centers, new clusters = 4.00269 1 25 0.5346 0.4985 0.5346 0.4985 Energy with old centers, new clusters = 4.00269 Energy with new centers, new clusters = 4.00269 1 25 0.5346 0.4985 0.5346 0.4985 Energy with old centers, new clusters = 4.00269 Energy with new centers, new clusters = 4.00269 1 25 0.5346 0.4985 0.5346 0.4985 Energy with old centers, new clusters = 4.00269 Energy with new centers, new clusters = 4.00269 1 25 0.5346 0.4985 0.5346 0.4985 Energy with old centers, new clusters = 4.00269 Energy with new centers, new clusters = 4.00269 1 25 0.5346 0.4985 0.5346 0.4985 Energy with old centers, new clusters = 4.00269 Energy with new centers, new clusters = 4.00269 1 25 0.5346 0.4985 0.5346 0.4985 Energy with old centers, new clusters = 4.00269 Energy with new centers, new clusters = 4.00269 1 25 0.5346 0.4985 0.5346 0.4985 Energy with old centers, new clusters = 4.00269 Energy with new centers, new clusters = 4.00269 1 25 0.5346 0.4985 0.5346 0.4985 Energy with old centers, new clusters = 4.00269 Energy with new centers, new clusters = 4.00269 1 25 0.5346 0.4985 0.5346 0.4985 Energy with old centers, new clusters = 4.00269 Energy with new centers, new clusters = 4.00269 1 25 0.5346 0.4985 0.5346 0.4985 Energy with old centers, new clusters = 4.00269 Energy with new centers, new clusters = 4.00269 1 25 0.5346 0.4985 0.5346 0.4985 Energy with old centers, new clusters = 4.00269 Energy with new centers, new clusters = 4.00269 1 25 0.5346 0.4985 0.5346 0.4985 Energy with old centers, new clusters = 4.00269 Energy with new centers, new clusters = 4.00269 1 25 0.5346 0.4985 0.5346 0.4985 Energy with old centers, new clusters = 4.00269 Energy with new centers, new clusters = 4.00269 1 25 0.5346 0.4985 0.5346 0.4985 Energy with old centers, new clusters = 4.00269 Energy with new centers, new clusters = 4.00269 1 25 0.5346 0.4985 0.5346 0.4985 Energy with old centers, new clusters = 4.00269 Energy with new centers, new clusters = 4.00269 1 25 0.5346 0.4985 0.5346 0.4985 Energy with old centers, new clusters = 4.00269 Energy with new centers, new clusters = 4.00269 1 25 0.5346 0.4985 0.5346 0.4985 Energy with old centers, new clusters = 4.00269 Energy with new centers, new clusters = 4.00269 1 25 0.5346 0.4985 0.5346 0.4985 Number of clusters = 2 Initial energy = 6.84484 1 16 0.8379 0.4481 2 9 0.6419 0.0174 Energy with old centers, new clusters = 4.73416 Energy with new centers, new clusters = 2.32079 1 18 0.8379 0.4481 0.6355 0.6249 2 7 0.6419 0.0174 0.2751 0.1735 Energy with old centers, new clusters = 2.27857 Energy with new centers, new clusters = 2.26360 1 17 0.6355 0.6249 0.6504 0.6375 2 8 0.2751 0.1735 0.2884 0.2032 Energy with old centers, new clusters = 2.26360 Energy with new centers, new clusters = 2.26360 1 17 0.6504 0.6375 0.6504 0.6375 2 8 0.2884 0.2032 0.2884 0.2032 Energy with old centers, new clusters = 2.26360 Energy with new centers, new clusters = 2.26360 1 17 0.6504 0.6375 0.6504 0.6375 2 8 0.2884 0.2032 0.2884 0.2032 Energy with old centers, new clusters = 2.26360 Energy with new centers, new clusters = 2.26360 1 17 0.6504 0.6375 0.6504 0.6375 2 8 0.2884 0.2032 0.2884 0.2032 Energy with old centers, new clusters = 2.26360 Energy with new centers, new clusters = 2.26360 1 17 0.6504 0.6375 0.6504 0.6375 2 8 0.2884 0.2032 0.2884 0.2032 Energy with old centers, new clusters = 2.26360 Energy with new centers, new clusters = 2.26360 1 17 0.6504 0.6375 0.6504 0.6375 2 8 0.2884 0.2032 0.2884 0.2032 Energy with old centers, new clusters = 2.26360 Energy with new centers, new clusters = 2.26360 1 17 0.6504 0.6375 0.6504 0.6375 2 8 0.2884 0.2032 0.2884 0.2032 Energy with old centers, new clusters = 2.26360 Energy with new centers, new clusters = 2.26360 1 17 0.6504 0.6375 0.6504 0.6375 2 8 0.2884 0.2032 0.2884 0.2032 Energy with old centers, new clusters = 2.26360 Energy with new centers, new clusters = 2.26360 1 17 0.6504 0.6375 0.6504 0.6375 2 8 0.2884 0.2032 0.2884 0.2032 Energy with old centers, new clusters = 2.26360 Energy with new centers, new clusters = 2.26360 1 17 0.6504 0.6375 0.6504 0.6375 2 8 0.2884 0.2032 0.2884 0.2032 Energy with old centers, new clusters = 2.26360 Energy with new centers, new clusters = 2.26360 1 17 0.6504 0.6375 0.6504 0.6375 2 8 0.2884 0.2032 0.2884 0.2032 Energy with old centers, new clusters = 2.26360 Energy with new centers, new clusters = 2.26360 1 17 0.6504 0.6375 0.6504 0.6375 2 8 0.2884 0.2032 0.2884 0.2032 Energy with old centers, new clusters = 2.26360 Energy with new centers, new clusters = 2.26360 1 17 0.6504 0.6375 0.6504 0.6375 2 8 0.2884 0.2032 0.2884 0.2032 Energy with old centers, new clusters = 2.26360 Energy with new centers, new clusters = 2.26360 1 17 0.6504 0.6375 0.6504 0.6375 2 8 0.2884 0.2032 0.2884 0.2032 Energy with old centers, new clusters = 2.26360 Energy with new centers, new clusters = 2.26360 1 17 0.6504 0.6375 0.6504 0.6375 2 8 0.2884 0.2032 0.2884 0.2032 Energy with old centers, new clusters = 2.26360 Energy with new centers, new clusters = 2.26360 1 17 0.6504 0.6375 0.6504 0.6375 2 8 0.2884 0.2032 0.2884 0.2032 Energy with old centers, new clusters = 2.26360 Energy with new centers, new clusters = 2.26360 1 17 0.6504 0.6375 0.6504 0.6375 2 8 0.2884 0.2032 0.2884 0.2032 Energy with old centers, new clusters = 2.26360 Energy with new centers, new clusters = 2.26360 1 17 0.6504 0.6375 0.6504 0.6375 2 8 0.2884 0.2032 0.2884 0.2032 Energy with old centers, new clusters = 2.26360 Energy with new centers, new clusters = 2.26360 1 17 0.6504 0.6375 0.6504 0.6375 2 8 0.2884 0.2032 0.2884 0.2032 Number of clusters = 3 Initial energy = 8.33582 1 10 0.1335 0.2031 2 8 0.2198 0.4031 3 7 0.1093 0.4785 Energy with old centers, new clusters = 6.22974 Energy with new centers, new clusters = 1.68299 1 5 0.1335 0.2031 0.3097 0.0978 2 16 0.2198 0.4031 0.6960 0.5608 3 4 0.1093 0.4785 0.1701 0.7504 Energy with old centers, new clusters = 1.45693 Energy with new centers, new clusters = 1.32276 1 7 0.3097 0.0978 0.3220 0.1751 2 13 0.6960 0.5608 0.7728 0.5800 3 5 0.1701 0.7504 0.2129 0.7394 Energy with old centers, new clusters = 1.26376 Energy with new centers, new clusters = 1.20729 1 8 0.3220 0.1751 0.2884 0.2032 2 12 0.7728 0.5800 0.8021 0.5838 3 5 0.2129 0.7394 0.2863 0.7662 Energy with old centers, new clusters = 1.20729 Energy with new centers, new clusters = 1.20729 1 8 0.2884 0.2032 0.2884 0.2032 2 12 0.8021 0.5838 0.8021 0.5838 3 5 0.2863 0.7662 0.2863 0.7662 Energy with old centers, new clusters = 1.20729 Energy with new centers, new clusters = 1.20729 1 8 0.2884 0.2032 0.2884 0.2032 2 12 0.8021 0.5838 0.8021 0.5838 3 5 0.2863 0.7662 0.2863 0.7662 Energy with old centers, new clusters = 1.20729 Energy with new centers, new clusters = 1.20729 1 8 0.2884 0.2032 0.2884 0.2032 2 12 0.8021 0.5838 0.8021 0.5838 3 5 0.2863 0.7662 0.2863 0.7662 Energy with old centers, new clusters = 1.20729 Energy with new centers, new clusters = 1.20729 1 8 0.2884 0.2032 0.2884 0.2032 2 12 0.8021 0.5838 0.8021 0.5838 3 5 0.2863 0.7662 0.2863 0.7662 Energy with old centers, new clusters = 1.20729 Energy with new centers, new clusters = 1.20729 1 8 0.2884 0.2032 0.2884 0.2032 2 12 0.8021 0.5838 0.8021 0.5838 3 5 0.2863 0.7662 0.2863 0.7662 Energy with old centers, new clusters = 1.20729 Energy with new centers, new clusters = 1.20729 1 8 0.2884 0.2032 0.2884 0.2032 2 12 0.8021 0.5838 0.8021 0.5838 3 5 0.2863 0.7662 0.2863 0.7662 Energy with old centers, new clusters = 1.20729 Energy with new centers, new clusters = 1.20729 1 8 0.2884 0.2032 0.2884 0.2032 2 12 0.8021 0.5838 0.8021 0.5838 3 5 0.2863 0.7662 0.2863 0.7662 Energy with old centers, new clusters = 1.20729 Energy with new centers, new clusters = 1.20729 1 8 0.2884 0.2032 0.2884 0.2032 2 12 0.8021 0.5838 0.8021 0.5838 3 5 0.2863 0.7662 0.2863 0.7662 Energy with old centers, new clusters = 1.20729 Energy with new centers, new clusters = 1.20729 1 8 0.2884 0.2032 0.2884 0.2032 2 12 0.8021 0.5838 0.8021 0.5838 3 5 0.2863 0.7662 0.2863 0.7662 Energy with old centers, new clusters = 1.20729 Energy with new centers, new clusters = 1.20729 1 8 0.2884 0.2032 0.2884 0.2032 2 12 0.8021 0.5838 0.8021 0.5838 3 5 0.2863 0.7662 0.2863 0.7662 Energy with old centers, new clusters = 1.20729 Energy with new centers, new clusters = 1.20729 1 8 0.2884 0.2032 0.2884 0.2032 2 12 0.8021 0.5838 0.8021 0.5838 3 5 0.2863 0.7662 0.2863 0.7662 Energy with old centers, new clusters = 1.20729 Energy with new centers, new clusters = 1.20729 1 8 0.2884 0.2032 0.2884 0.2032 2 12 0.8021 0.5838 0.8021 0.5838 3 5 0.2863 0.7662 0.2863 0.7662 Energy with old centers, new clusters = 1.20729 Energy with new centers, new clusters = 1.20729 1 8 0.2884 0.2032 0.2884 0.2032 2 12 0.8021 0.5838 0.8021 0.5838 3 5 0.2863 0.7662 0.2863 0.7662 Energy with old centers, new clusters = 1.20729 Energy with new centers, new clusters = 1.20729 1 8 0.2884 0.2032 0.2884 0.2032 2 12 0.8021 0.5838 0.8021 0.5838 3 5 0.2863 0.7662 0.2863 0.7662 Energy with old centers, new clusters = 1.20729 Energy with new centers, new clusters = 1.20729 1 8 0.2884 0.2032 0.2884 0.2032 2 12 0.8021 0.5838 0.8021 0.5838 3 5 0.2863 0.7662 0.2863 0.7662 Energy with old centers, new clusters = 1.20729 Energy with new centers, new clusters = 1.20729 1 8 0.2884 0.2032 0.2884 0.2032 2 12 0.8021 0.5838 0.8021 0.5838 3 5 0.2863 0.7662 0.2863 0.7662 Energy with old centers, new clusters = 1.20729 Energy with new centers, new clusters = 1.20729 1 8 0.2884 0.2032 0.2884 0.2032 2 12 0.8021 0.5838 0.8021 0.5838 3 5 0.2863 0.7662 0.2863 0.7662 Number of clusters = 4 Initial energy = 10.4987 1 6 0.6242 0.3213 2 6 0.8548 0.6910 3 4 0.7645 0.9364 4 9 0.0581 0.5795 Energy with old centers, new clusters = 1.88319 Energy with new centers, new clusters = 1.39887 1 9 0.6242 0.3213 0.4610 0.2437 2 9 0.8548 0.6910 0.8210 0.6171 3 2 0.7645 0.9364 0.5536 0.8867 4 5 0.0581 0.5795 0.1438 0.5884 Energy with old centers, new clusters = 1.32416 Energy with new centers, new clusters = 1.22812 1 7 0.4610 0.2437 0.4251 0.1853 2 9 0.8210 0.6171 0.8411 0.5794 3 4 0.5536 0.8867 0.5157 0.7926 4 5 0.1438 0.5884 0.1511 0.5561 Energy with old centers, new clusters = 1.22539 Energy with new centers, new clusters = 1.19755 1 6 0.4251 0.1853 0.3731 0.1701 2 10 0.8411 0.5794 0.8307 0.5491 3 4 0.5157 0.7926 0.5157 0.7926 4 5 0.1511 0.5561 0.1511 0.5561 Energy with old centers, new clusters = 1.18514 Energy with new centers, new clusters = 1.13121 1 7 0.3731 0.1701 0.3220 0.1751 2 10 0.8307 0.5491 0.8307 0.5491 3 4 0.5157 0.7926 0.5157 0.7926 4 4 0.1511 0.5561 0.1851 0.6438 Energy with old centers, new clusters = 1.13121 Energy with new centers, new clusters = 1.13121 1 7 0.3220 0.1751 0.3220 0.1751 2 10 0.8307 0.5491 0.8307 0.5491 3 4 0.5157 0.7926 0.5157 0.7926 4 4 0.1851 0.6438 0.1851 0.6438 Energy with old centers, new clusters = 1.13121 Energy with new centers, new clusters = 1.13121 1 7 0.3220 0.1751 0.3220 0.1751 2 10 0.8307 0.5491 0.8307 0.5491 3 4 0.5157 0.7926 0.5157 0.7926 4 4 0.1851 0.6438 0.1851 0.6438 Energy with old centers, new clusters = 1.13121 Energy with new centers, new clusters = 1.13121 1 7 0.3220 0.1751 0.3220 0.1751 2 10 0.8307 0.5491 0.8307 0.5491 3 4 0.5157 0.7926 0.5157 0.7926 4 4 0.1851 0.6438 0.1851 0.6438 Energy with old centers, new clusters = 1.13121 Energy with new centers, new clusters = 1.13121 1 7 0.3220 0.1751 0.3220 0.1751 2 10 0.8307 0.5491 0.8307 0.5491 3 4 0.5157 0.7926 0.5157 0.7926 4 4 0.1851 0.6438 0.1851 0.6438 Energy with old centers, new clusters = 1.13121 Energy with new centers, new clusters = 1.13121 1 7 0.3220 0.1751 0.3220 0.1751 2 10 0.8307 0.5491 0.8307 0.5491 3 4 0.5157 0.7926 0.5157 0.7926 4 4 0.1851 0.6438 0.1851 0.6438 Energy with old centers, new clusters = 1.13121 Energy with new centers, new clusters = 1.13121 1 7 0.3220 0.1751 0.3220 0.1751 2 10 0.8307 0.5491 0.8307 0.5491 3 4 0.5157 0.7926 0.5157 0.7926 4 4 0.1851 0.6438 0.1851 0.6438 Energy with old centers, new clusters = 1.13121 Energy with new centers, new clusters = 1.13121 1 7 0.3220 0.1751 0.3220 0.1751 2 10 0.8307 0.5491 0.8307 0.5491 3 4 0.5157 0.7926 0.5157 0.7926 4 4 0.1851 0.6438 0.1851 0.6438 Energy with old centers, new clusters = 1.13121 Energy with new centers, new clusters = 1.13121 1 7 0.3220 0.1751 0.3220 0.1751 2 10 0.8307 0.5491 0.8307 0.5491 3 4 0.5157 0.7926 0.5157 0.7926 4 4 0.1851 0.6438 0.1851 0.6438 Energy with old centers, new clusters = 1.13121 Energy with new centers, new clusters = 1.13121 1 7 0.3220 0.1751 0.3220 0.1751 2 10 0.8307 0.5491 0.8307 0.5491 3 4 0.5157 0.7926 0.5157 0.7926 4 4 0.1851 0.6438 0.1851 0.6438 Energy with old centers, new clusters = 1.13121 Energy with new centers, new clusters = 1.13121 1 7 0.3220 0.1751 0.3220 0.1751 2 10 0.8307 0.5491 0.8307 0.5491 3 4 0.5157 0.7926 0.5157 0.7926 4 4 0.1851 0.6438 0.1851 0.6438 Energy with old centers, new clusters = 1.13121 Energy with new centers, new clusters = 1.13121 1 7 0.3220 0.1751 0.3220 0.1751 2 10 0.8307 0.5491 0.8307 0.5491 3 4 0.5157 0.7926 0.5157 0.7926 4 4 0.1851 0.6438 0.1851 0.6438 Energy with old centers, new clusters = 1.13121 Energy with new centers, new clusters = 1.13121 1 7 0.3220 0.1751 0.3220 0.1751 2 10 0.8307 0.5491 0.8307 0.5491 3 4 0.5157 0.7926 0.5157 0.7926 4 4 0.1851 0.6438 0.1851 0.6438 Energy with old centers, new clusters = 1.13121 Energy with new centers, new clusters = 1.13121 1 7 0.3220 0.1751 0.3220 0.1751 2 10 0.8307 0.5491 0.8307 0.5491 3 4 0.5157 0.7926 0.5157 0.7926 4 4 0.1851 0.6438 0.1851 0.6438 Energy with old centers, new clusters = 1.13121 Energy with new centers, new clusters = 1.13121 1 7 0.3220 0.1751 0.3220 0.1751 2 10 0.8307 0.5491 0.8307 0.5491 3 4 0.5157 0.7926 0.5157 0.7926 4 4 0.1851 0.6438 0.1851 0.6438 Energy with old centers, new clusters = 1.13121 Energy with new centers, new clusters = 1.13121 1 7 0.3220 0.1751 0.3220 0.1751 2 10 0.8307 0.5491 0.8307 0.5491 3 4 0.5157 0.7926 0.5157 0.7926 4 4 0.1851 0.6438 0.1851 0.6438 Energy with old centers, new clusters = 1.13121 Energy with new centers, new clusters = 1.13121 1 7 0.3220 0.1751 0.3220 0.1751 2 10 0.8307 0.5491 0.8307 0.5491 3 4 0.5157 0.7926 0.5157 0.7926 4 4 0.1851 0.6438 0.1851 0.6438 Number of clusters = 5 Initial energy = 6.69469 1 3 0.5109 0.0441 2 6 0.7060 0.4798 3 4 0.9060 0.7913 4 7 0.0282 0.8407 5 5 0.7272 0.7175 Energy with old centers, new clusters = 1.58043 Energy with new centers, new clusters = 1.07114 1 6 0.5109 0.0441 0.3121 0.1357 2 7 0.7060 0.4798 0.6985 0.4356 3 3 0.9060 0.7913 0.9335 0.6767 4 4 0.0282 0.8407 0.1701 0.7504 5 5 0.7272 0.7175 0.6244 0.7134 Energy with old centers, new clusters = 0.968225 Energy with new centers, new clusters = 0.856212 1 7 0.3121 0.1357 0.3220 0.1751 2 3 0.6985 0.4356 0.8136 0.3396 3 4 0.9335 0.6767 0.9470 0.6309 4 5 0.1701 0.7504 0.2129 0.7394 5 6 0.6244 0.7134 0.6362 0.6662 Energy with old centers, new clusters = 0.838172 Energy with new centers, new clusters = 0.787598 1 8 0.3220 0.1751 0.2884 0.2032 2 3 0.8136 0.3396 0.8136 0.3396 3 4 0.9470 0.6309 0.9470 0.6309 4 4 0.2129 0.7394 0.2528 0.8243 5 6 0.6362 0.6662 0.6362 0.6662 Energy with old centers, new clusters = 0.787598 Energy with new centers, new clusters = 0.787598 1 8 0.2884 0.2032 0.2884 0.2032 2 3 0.8136 0.3396 0.8136 0.3396 3 4 0.9470 0.6309 0.9470 0.6309 4 4 0.2528 0.8243 0.2528 0.8243 5 6 0.6362 0.6662 0.6362 0.6662 Energy with old centers, new clusters = 0.787598 Energy with new centers, new clusters = 0.787598 1 8 0.2884 0.2032 0.2884 0.2032 2 3 0.8136 0.3396 0.8136 0.3396 3 4 0.9470 0.6309 0.9470 0.6309 4 4 0.2528 0.8243 0.2528 0.8243 5 6 0.6362 0.6662 0.6362 0.6662 Energy with old centers, new clusters = 0.787598 Energy with new centers, new clusters = 0.787598 1 8 0.2884 0.2032 0.2884 0.2032 2 3 0.8136 0.3396 0.8136 0.3396 3 4 0.9470 0.6309 0.9470 0.6309 4 4 0.2528 0.8243 0.2528 0.8243 5 6 0.6362 0.6662 0.6362 0.6662 Energy with old centers, new clusters = 0.787598 Energy with new centers, new clusters = 0.787598 1 8 0.2884 0.2032 0.2884 0.2032 2 3 0.8136 0.3396 0.8136 0.3396 3 4 0.9470 0.6309 0.9470 0.6309 4 4 0.2528 0.8243 0.2528 0.8243 5 6 0.6362 0.6662 0.6362 0.6662 Energy with old centers, new clusters = 0.787598 Energy with new centers, new clusters = 0.787598 1 8 0.2884 0.2032 0.2884 0.2032 2 3 0.8136 0.3396 0.8136 0.3396 3 4 0.9470 0.6309 0.9470 0.6309 4 4 0.2528 0.8243 0.2528 0.8243 5 6 0.6362 0.6662 0.6362 0.6662 Energy with old centers, new clusters = 0.787598 Energy with new centers, new clusters = 0.787598 1 8 0.2884 0.2032 0.2884 0.2032 2 3 0.8136 0.3396 0.8136 0.3396 3 4 0.9470 0.6309 0.9470 0.6309 4 4 0.2528 0.8243 0.2528 0.8243 5 6 0.6362 0.6662 0.6362 0.6662 Energy with old centers, new clusters = 0.787598 Energy with new centers, new clusters = 0.787598 1 8 0.2884 0.2032 0.2884 0.2032 2 3 0.8136 0.3396 0.8136 0.3396 3 4 0.9470 0.6309 0.9470 0.6309 4 4 0.2528 0.8243 0.2528 0.8243 5 6 0.6362 0.6662 0.6362 0.6662 Energy with old centers, new clusters = 0.787598 Energy with new centers, new clusters = 0.787598 1 8 0.2884 0.2032 0.2884 0.2032 2 3 0.8136 0.3396 0.8136 0.3396 3 4 0.9470 0.6309 0.9470 0.6309 4 4 0.2528 0.8243 0.2528 0.8243 5 6 0.6362 0.6662 0.6362 0.6662 Energy with old centers, new clusters = 0.787598 Energy with new centers, new clusters = 0.787598 1 8 0.2884 0.2032 0.2884 0.2032 2 3 0.8136 0.3396 0.8136 0.3396 3 4 0.9470 0.6309 0.9470 0.6309 4 4 0.2528 0.8243 0.2528 0.8243 5 6 0.6362 0.6662 0.6362 0.6662 Energy with old centers, new clusters = 0.787598 Energy with new centers, new clusters = 0.787598 1 8 0.2884 0.2032 0.2884 0.2032 2 3 0.8136 0.3396 0.8136 0.3396 3 4 0.9470 0.6309 0.9470 0.6309 4 4 0.2528 0.8243 0.2528 0.8243 5 6 0.6362 0.6662 0.6362 0.6662 Energy with old centers, new clusters = 0.787598 Energy with new centers, new clusters = 0.787598 1 8 0.2884 0.2032 0.2884 0.2032 2 3 0.8136 0.3396 0.8136 0.3396 3 4 0.9470 0.6309 0.9470 0.6309 4 4 0.2528 0.8243 0.2528 0.8243 5 6 0.6362 0.6662 0.6362 0.6662 Energy with old centers, new clusters = 0.787598 Energy with new centers, new clusters = 0.787598 1 8 0.2884 0.2032 0.2884 0.2032 2 3 0.8136 0.3396 0.8136 0.3396 3 4 0.9470 0.6309 0.9470 0.6309 4 4 0.2528 0.8243 0.2528 0.8243 5 6 0.6362 0.6662 0.6362 0.6662 Energy with old centers, new clusters = 0.787598 Energy with new centers, new clusters = 0.787598 1 8 0.2884 0.2032 0.2884 0.2032 2 3 0.8136 0.3396 0.8136 0.3396 3 4 0.9470 0.6309 0.9470 0.6309 4 4 0.2528 0.8243 0.2528 0.8243 5 6 0.6362 0.6662 0.6362 0.6662 Energy with old centers, new clusters = 0.787598 Energy with new centers, new clusters = 0.787598 1 8 0.2884 0.2032 0.2884 0.2032 2 3 0.8136 0.3396 0.8136 0.3396 3 4 0.9470 0.6309 0.9470 0.6309 4 4 0.2528 0.8243 0.2528 0.8243 5 6 0.6362 0.6662 0.6362 0.6662 Energy with old centers, new clusters = 0.787598 Energy with new centers, new clusters = 0.787598 1 8 0.2884 0.2032 0.2884 0.2032 2 3 0.8136 0.3396 0.8136 0.3396 3 4 0.9470 0.6309 0.9470 0.6309 4 4 0.2528 0.8243 0.2528 0.8243 5 6 0.6362 0.6662 0.6362 0.6662 Energy with old centers, new clusters = 0.787598 Energy with new centers, new clusters = 0.787598 1 8 0.2884 0.2032 0.2884 0.2032 2 3 0.8136 0.3396 0.8136 0.3396 3 4 0.9470 0.6309 0.9470 0.6309 4 4 0.2528 0.8243 0.2528 0.8243 5 6 0.6362 0.6662 0.6362 0.6662 Energy with old centers, new clusters = 0.787598 Energy with new centers, new clusters = 0.787598 1 8 0.2884 0.2032 0.2884 0.2032 2 3 0.8136 0.3396 0.8136 0.3396 3 4 0.9470 0.6309 0.9470 0.6309 4 4 0.2528 0.8243 0.2528 0.8243 5 6 0.6362 0.6662 0.6362 0.6662 Number of clusters = 6 Initial energy = 8.84580 1 6 0.5860 0.6761 2 2 0.0590 0.0940 3 6 0.3452 0.6711 4 6 0.4376 0.9930 5 4 0.9627 0.1729 6 1 0.0463 0.8202 Energy with old centers, new clusters = 1.59421 Energy with new centers, new clusters = 0.783125 1 8 0.5860 0.6761 0.7747 0.6867 2 4 0.0590 0.0940 0.1333 0.1875 3 5 0.3452 0.6711 0.3402 0.5279 4 1 0.4376 0.9930 0.3604 0.9602 5 6 0.9627 0.1729 0.7494 0.2752 6 1 0.0463 0.8202 0.0757 0.9685 Energy with old centers, new clusters = 0.761346 Energy with new centers, new clusters = 0.731307 1 9 0.7747 0.6867 0.7983 0.6652 2 4 0.1333 0.1875 0.1333 0.1875 3 5 0.3402 0.5279 0.3402 0.5279 4 1 0.3604 0.9602 0.3604 0.9602 5 5 0.7494 0.2752 0.7018 0.2315 6 1 0.0757 0.9685 0.0757 0.9685 Energy with old centers, new clusters = 0.731307 Energy with new centers, new clusters = 0.731307 1 9 0.7983 0.6652 0.7983 0.6652 2 4 0.1333 0.1875 0.1333 0.1875 3 5 0.3402 0.5279 0.3402 0.5279 4 1 0.3604 0.9602 0.3604 0.9602 5 5 0.7018 0.2315 0.7018 0.2315 6 1 0.0757 0.9685 0.0757 0.9685 Energy with old centers, new clusters = 0.731307 Energy with new centers, new clusters = 0.731307 1 9 0.7983 0.6652 0.7983 0.6652 2 4 0.1333 0.1875 0.1333 0.1875 3 5 0.3402 0.5279 0.3402 0.5279 4 1 0.3604 0.9602 0.3604 0.9602 5 5 0.7018 0.2315 0.7018 0.2315 6 1 0.0757 0.9685 0.0757 0.9685 Energy with old centers, new clusters = 0.731307 Energy with new centers, new clusters = 0.731307 1 9 0.7983 0.6652 0.7983 0.6652 2 4 0.1333 0.1875 0.1333 0.1875 3 5 0.3402 0.5279 0.3402 0.5279 4 1 0.3604 0.9602 0.3604 0.9602 5 5 0.7018 0.2315 0.7018 0.2315 6 1 0.0757 0.9685 0.0757 0.9685 Energy with old centers, new clusters = 0.731307 Energy with new centers, new clusters = 0.731307 1 9 0.7983 0.6652 0.7983 0.6652 2 4 0.1333 0.1875 0.1333 0.1875 3 5 0.3402 0.5279 0.3402 0.5279 4 1 0.3604 0.9602 0.3604 0.9602 5 5 0.7018 0.2315 0.7018 0.2315 6 1 0.0757 0.9685 0.0757 0.9685 Energy with old centers, new clusters = 0.731307 Energy with new centers, new clusters = 0.731307 1 9 0.7983 0.6652 0.7983 0.6652 2 4 0.1333 0.1875 0.1333 0.1875 3 5 0.3402 0.5279 0.3402 0.5279 4 1 0.3604 0.9602 0.3604 0.9602 5 5 0.7018 0.2315 0.7018 0.2315 6 1 0.0757 0.9685 0.0757 0.9685 Energy with old centers, new clusters = 0.731307 Energy with new centers, new clusters = 0.731307 1 9 0.7983 0.6652 0.7983 0.6652 2 4 0.1333 0.1875 0.1333 0.1875 3 5 0.3402 0.5279 0.3402 0.5279 4 1 0.3604 0.9602 0.3604 0.9602 5 5 0.7018 0.2315 0.7018 0.2315 6 1 0.0757 0.9685 0.0757 0.9685 Energy with old centers, new clusters = 0.731307 Energy with new centers, new clusters = 0.731307 1 9 0.7983 0.6652 0.7983 0.6652 2 4 0.1333 0.1875 0.1333 0.1875 3 5 0.3402 0.5279 0.3402 0.5279 4 1 0.3604 0.9602 0.3604 0.9602 5 5 0.7018 0.2315 0.7018 0.2315 6 1 0.0757 0.9685 0.0757 0.9685 Energy with old centers, new clusters = 0.731307 Energy with new centers, new clusters = 0.731307 1 9 0.7983 0.6652 0.7983 0.6652 2 4 0.1333 0.1875 0.1333 0.1875 3 5 0.3402 0.5279 0.3402 0.5279 4 1 0.3604 0.9602 0.3604 0.9602 5 5 0.7018 0.2315 0.7018 0.2315 6 1 0.0757 0.9685 0.0757 0.9685 Energy with old centers, new clusters = 0.731307 Energy with new centers, new clusters = 0.731307 1 9 0.7983 0.6652 0.7983 0.6652 2 4 0.1333 0.1875 0.1333 0.1875 3 5 0.3402 0.5279 0.3402 0.5279 4 1 0.3604 0.9602 0.3604 0.9602 5 5 0.7018 0.2315 0.7018 0.2315 6 1 0.0757 0.9685 0.0757 0.9685 Energy with old centers, new clusters = 0.731307 Energy with new centers, new clusters = 0.731307 1 9 0.7983 0.6652 0.7983 0.6652 2 4 0.1333 0.1875 0.1333 0.1875 3 5 0.3402 0.5279 0.3402 0.5279 4 1 0.3604 0.9602 0.3604 0.9602 5 5 0.7018 0.2315 0.7018 0.2315 6 1 0.0757 0.9685 0.0757 0.9685 Energy with old centers, new clusters = 0.731307 Energy with new centers, new clusters = 0.731307 1 9 0.7983 0.6652 0.7983 0.6652 2 4 0.1333 0.1875 0.1333 0.1875 3 5 0.3402 0.5279 0.3402 0.5279 4 1 0.3604 0.9602 0.3604 0.9602 5 5 0.7018 0.2315 0.7018 0.2315 6 1 0.0757 0.9685 0.0757 0.9685 Energy with old centers, new clusters = 0.731307 Energy with new centers, new clusters = 0.731307 1 9 0.7983 0.6652 0.7983 0.6652 2 4 0.1333 0.1875 0.1333 0.1875 3 5 0.3402 0.5279 0.3402 0.5279 4 1 0.3604 0.9602 0.3604 0.9602 5 5 0.7018 0.2315 0.7018 0.2315 6 1 0.0757 0.9685 0.0757 0.9685 Energy with old centers, new clusters = 0.731307 Energy with new centers, new clusters = 0.731307 1 9 0.7983 0.6652 0.7983 0.6652 2 4 0.1333 0.1875 0.1333 0.1875 3 5 0.3402 0.5279 0.3402 0.5279 4 1 0.3604 0.9602 0.3604 0.9602 5 5 0.7018 0.2315 0.7018 0.2315 6 1 0.0757 0.9685 0.0757 0.9685 Energy with old centers, new clusters = 0.731307 Energy with new centers, new clusters = 0.731307 1 9 0.7983 0.6652 0.7983 0.6652 2 4 0.1333 0.1875 0.1333 0.1875 3 5 0.3402 0.5279 0.3402 0.5279 4 1 0.3604 0.9602 0.3604 0.9602 5 5 0.7018 0.2315 0.7018 0.2315 6 1 0.0757 0.9685 0.0757 0.9685 Energy with old centers, new clusters = 0.731307 Energy with new centers, new clusters = 0.731307 1 9 0.7983 0.6652 0.7983 0.6652 2 4 0.1333 0.1875 0.1333 0.1875 3 5 0.3402 0.5279 0.3402 0.5279 4 1 0.3604 0.9602 0.3604 0.9602 5 5 0.7018 0.2315 0.7018 0.2315 6 1 0.0757 0.9685 0.0757 0.9685 Energy with old centers, new clusters = 0.731307 Energy with new centers, new clusters = 0.731307 1 9 0.7983 0.6652 0.7983 0.6652 2 4 0.1333 0.1875 0.1333 0.1875 3 5 0.3402 0.5279 0.3402 0.5279 4 1 0.3604 0.9602 0.3604 0.9602 5 5 0.7018 0.2315 0.7018 0.2315 6 1 0.0757 0.9685 0.0757 0.9685 Energy with old centers, new clusters = 0.731307 Energy with new centers, new clusters = 0.731307 1 9 0.7983 0.6652 0.7983 0.6652 2 4 0.1333 0.1875 0.1333 0.1875 3 5 0.3402 0.5279 0.3402 0.5279 4 1 0.3604 0.9602 0.3604 0.9602 5 5 0.7018 0.2315 0.7018 0.2315 6 1 0.0757 0.9685 0.0757 0.9685 Energy with old centers, new clusters = 0.731307 Energy with new centers, new clusters = 0.731307 1 9 0.7983 0.6652 0.7983 0.6652 2 4 0.1333 0.1875 0.1333 0.1875 3 5 0.3402 0.5279 0.3402 0.5279 4 1 0.3604 0.9602 0.3604 0.9602 5 5 0.7018 0.2315 0.7018 0.2315 6 1 0.0757 0.9685 0.0757 0.9685 Number of clusters = 7 Initial energy = 5.49578 1 3 0.3146 0.8934 2 2 0.1604 0.1551 3 4 0.2342 0.5926 4 6 0.8279 0.2755 5 6 0.4599 0.8436 6 2 0.0054 0.8672 7 2 0.4464 0.5344 Energy with old centers, new clusters = 1.49438 Energy with new centers, new clusters = 0.913951 1 1 0.3146 0.8934 0.3604 0.9602 2 5 0.1604 0.1551 0.2662 0.1377 3 2 0.2342 0.5926 0.1220 0.5365 4 7 0.8279 0.2755 0.8330 0.4159 5 5 0.4599 0.8436 0.6788 0.7326 6 1 0.0054 0.8672 0.0757 0.9685 7 4 0.4464 0.5344 0.5319 0.5496 Energy with old centers, new clusters = 0.727306 Energy with new centers, new clusters = 0.640264 1 1 0.3604 0.9602 0.3604 0.9602 2 6 0.2662 0.1377 0.3121 0.1357 3 2 0.1220 0.5365 0.1220 0.5365 4 5 0.8330 0.4159 0.8766 0.4204 5 6 0.6788 0.7326 0.7639 0.7188 6 1 0.0757 0.9685 0.0757 0.9685 7 4 0.5319 0.5496 0.4613 0.5581 Energy with old centers, new clusters = 0.622618 Energy with new centers, new clusters = 0.614407 1 1 0.3604 0.9602 0.3604 0.9602 2 6 0.3121 0.1357 0.3121 0.1357 3 2 0.1220 0.5365 0.1220 0.5365 4 5 0.8766 0.4204 0.8766 0.4204 5 6 0.7639 0.7188 0.7785 0.7005 6 1 0.0757 0.9685 0.0757 0.9685 7 4 0.4613 0.5581 0.4394 0.5855 Energy with old centers, new clusters = 0.614407 Energy with new centers, new clusters = 0.614407 1 1 0.3604 0.9602 0.3604 0.9602 2 6 0.3121 0.1357 0.3121 0.1357 3 2 0.1220 0.5365 0.1220 0.5365 4 5 0.8766 0.4204 0.8766 0.4204 5 6 0.7785 0.7005 0.7785 0.7005 6 1 0.0757 0.9685 0.0757 0.9685 7 4 0.4394 0.5855 0.4394 0.5855 Energy with old centers, new clusters = 0.614407 Energy with new centers, new clusters = 0.614407 1 1 0.3604 0.9602 0.3604 0.9602 2 6 0.3121 0.1357 0.3121 0.1357 3 2 0.1220 0.5365 0.1220 0.5365 4 5 0.8766 0.4204 0.8766 0.4204 5 6 0.7785 0.7005 0.7785 0.7005 6 1 0.0757 0.9685 0.0757 0.9685 7 4 0.4394 0.5855 0.4394 0.5855 Energy with old centers, new clusters = 0.614407 Energy with new centers, new clusters = 0.614407 1 1 0.3604 0.9602 0.3604 0.9602 2 6 0.3121 0.1357 0.3121 0.1357 3 2 0.1220 0.5365 0.1220 0.5365 4 5 0.8766 0.4204 0.8766 0.4204 5 6 0.7785 0.7005 0.7785 0.7005 6 1 0.0757 0.9685 0.0757 0.9685 7 4 0.4394 0.5855 0.4394 0.5855 Energy with old centers, new clusters = 0.614407 Energy with new centers, new clusters = 0.614407 1 1 0.3604 0.9602 0.3604 0.9602 2 6 0.3121 0.1357 0.3121 0.1357 3 2 0.1220 0.5365 0.1220 0.5365 4 5 0.8766 0.4204 0.8766 0.4204 5 6 0.7785 0.7005 0.7785 0.7005 6 1 0.0757 0.9685 0.0757 0.9685 7 4 0.4394 0.5855 0.4394 0.5855 Energy with old centers, new clusters = 0.614407 Energy with new centers, new clusters = 0.614407 1 1 0.3604 0.9602 0.3604 0.9602 2 6 0.3121 0.1357 0.3121 0.1357 3 2 0.1220 0.5365 0.1220 0.5365 4 5 0.8766 0.4204 0.8766 0.4204 5 6 0.7785 0.7005 0.7785 0.7005 6 1 0.0757 0.9685 0.0757 0.9685 7 4 0.4394 0.5855 0.4394 0.5855 Energy with old centers, new clusters = 0.614407 Energy with new centers, new clusters = 0.614407 1 1 0.3604 0.9602 0.3604 0.9602 2 6 0.3121 0.1357 0.3121 0.1357 3 2 0.1220 0.5365 0.1220 0.5365 4 5 0.8766 0.4204 0.8766 0.4204 5 6 0.7785 0.7005 0.7785 0.7005 6 1 0.0757 0.9685 0.0757 0.9685 7 4 0.4394 0.5855 0.4394 0.5855 Energy with old centers, new clusters = 0.614407 Energy with new centers, new clusters = 0.614407 1 1 0.3604 0.9602 0.3604 0.9602 2 6 0.3121 0.1357 0.3121 0.1357 3 2 0.1220 0.5365 0.1220 0.5365 4 5 0.8766 0.4204 0.8766 0.4204 5 6 0.7785 0.7005 0.7785 0.7005 6 1 0.0757 0.9685 0.0757 0.9685 7 4 0.4394 0.5855 0.4394 0.5855 Energy with old centers, new clusters = 0.614407 Energy with new centers, new clusters = 0.614407 1 1 0.3604 0.9602 0.3604 0.9602 2 6 0.3121 0.1357 0.3121 0.1357 3 2 0.1220 0.5365 0.1220 0.5365 4 5 0.8766 0.4204 0.8766 0.4204 5 6 0.7785 0.7005 0.7785 0.7005 6 1 0.0757 0.9685 0.0757 0.9685 7 4 0.4394 0.5855 0.4394 0.5855 Energy with old centers, new clusters = 0.614407 Energy with new centers, new clusters = 0.614407 1 1 0.3604 0.9602 0.3604 0.9602 2 6 0.3121 0.1357 0.3121 0.1357 3 2 0.1220 0.5365 0.1220 0.5365 4 5 0.8766 0.4204 0.8766 0.4204 5 6 0.7785 0.7005 0.7785 0.7005 6 1 0.0757 0.9685 0.0757 0.9685 7 4 0.4394 0.5855 0.4394 0.5855 Energy with old centers, new clusters = 0.614407 Energy with new centers, new clusters = 0.614407 1 1 0.3604 0.9602 0.3604 0.9602 2 6 0.3121 0.1357 0.3121 0.1357 3 2 0.1220 0.5365 0.1220 0.5365 4 5 0.8766 0.4204 0.8766 0.4204 5 6 0.7785 0.7005 0.7785 0.7005 6 1 0.0757 0.9685 0.0757 0.9685 7 4 0.4394 0.5855 0.4394 0.5855 Energy with old centers, new clusters = 0.614407 Energy with new centers, new clusters = 0.614407 1 1 0.3604 0.9602 0.3604 0.9602 2 6 0.3121 0.1357 0.3121 0.1357 3 2 0.1220 0.5365 0.1220 0.5365 4 5 0.8766 0.4204 0.8766 0.4204 5 6 0.7785 0.7005 0.7785 0.7005 6 1 0.0757 0.9685 0.0757 0.9685 7 4 0.4394 0.5855 0.4394 0.5855 Energy with old centers, new clusters = 0.614407 Energy with new centers, new clusters = 0.614407 1 1 0.3604 0.9602 0.3604 0.9602 2 6 0.3121 0.1357 0.3121 0.1357 3 2 0.1220 0.5365 0.1220 0.5365 4 5 0.8766 0.4204 0.8766 0.4204 5 6 0.7785 0.7005 0.7785 0.7005 6 1 0.0757 0.9685 0.0757 0.9685 7 4 0.4394 0.5855 0.4394 0.5855 Energy with old centers, new clusters = 0.614407 Energy with new centers, new clusters = 0.614407 1 1 0.3604 0.9602 0.3604 0.9602 2 6 0.3121 0.1357 0.3121 0.1357 3 2 0.1220 0.5365 0.1220 0.5365 4 5 0.8766 0.4204 0.8766 0.4204 5 6 0.7785 0.7005 0.7785 0.7005 6 1 0.0757 0.9685 0.0757 0.9685 7 4 0.4394 0.5855 0.4394 0.5855 Energy with old centers, new clusters = 0.614407 Energy with new centers, new clusters = 0.614407 1 1 0.3604 0.9602 0.3604 0.9602 2 6 0.3121 0.1357 0.3121 0.1357 3 2 0.1220 0.5365 0.1220 0.5365 4 5 0.8766 0.4204 0.8766 0.4204 5 6 0.7785 0.7005 0.7785 0.7005 6 1 0.0757 0.9685 0.0757 0.9685 7 4 0.4394 0.5855 0.4394 0.5855 Energy with old centers, new clusters = 0.614407 Energy with new centers, new clusters = 0.614407 1 1 0.3604 0.9602 0.3604 0.9602 2 6 0.3121 0.1357 0.3121 0.1357 3 2 0.1220 0.5365 0.1220 0.5365 4 5 0.8766 0.4204 0.8766 0.4204 5 6 0.7785 0.7005 0.7785 0.7005 6 1 0.0757 0.9685 0.0757 0.9685 7 4 0.4394 0.5855 0.4394 0.5855 Energy with old centers, new clusters = 0.614407 Energy with new centers, new clusters = 0.614407 1 1 0.3604 0.9602 0.3604 0.9602 2 6 0.3121 0.1357 0.3121 0.1357 3 2 0.1220 0.5365 0.1220 0.5365 4 5 0.8766 0.4204 0.8766 0.4204 5 6 0.7785 0.7005 0.7785 0.7005 6 1 0.0757 0.9685 0.0757 0.9685 7 4 0.4394 0.5855 0.4394 0.5855 Energy with old centers, new clusters = 0.614407 Energy with new centers, new clusters = 0.614407 1 1 0.3604 0.9602 0.3604 0.9602 2 6 0.3121 0.1357 0.3121 0.1357 3 2 0.1220 0.5365 0.1220 0.5365 4 5 0.8766 0.4204 0.8766 0.4204 5 6 0.7785 0.7005 0.7785 0.7005 6 1 0.0757 0.9685 0.0757 0.9685 7 4 0.4394 0.5855 0.4394 0.5855 Number of clusters = 8 Initial energy = 9.41029 1 4 0.2600 0.0745 2 5 0.2007 0.0320 3 4 0.3587 0.7478 4 0 0.7512 0.0451 5 2 0.5083 0.3170 6 3 0.9282 0.8230 7 3 0.4902 0.5938 8 4 0.8223 0.0496 Energy with old centers, new clusters = 1.17982 Energy with new centers, new clusters = 0.630319 1 3 0.2600 0.0745 0.1727 0.1817 2 1 0.2007 0.0320 0.0151 0.2049 3 4 0.3587 0.7478 0.2528 0.8243 4 2 0.7512 0.0451 0.6320 0.1445 5 4 0.5083 0.3170 0.5000 0.3063 6 6 0.9282 0.8230 0.8812 0.6721 7 4 0.4902 0.5938 0.5794 0.6221 8 1 0.8223 0.0496 0.9507 0.3803 Energy with old centers, new clusters = 0.525320 Energy with new centers, new clusters = 0.400439 1 2 0.1727 0.1817 0.2326 0.0727 2 2 0.0151 0.2049 0.0341 0.3023 3 4 0.2528 0.8243 0.2528 0.8243 4 3 0.6320 0.1445 0.6017 0.1384 5 2 0.5000 0.3063 0.3527 0.3684 6 5 0.8812 0.6721 0.8600 0.7078 7 4 0.5794 0.6221 0.5794 0.6221 8 3 0.9507 0.3803 0.8971 0.4120 Energy with old centers, new clusters = 0.399364 Energy with new centers, new clusters = 0.377683 1 2 0.2326 0.0727 0.2326 0.0727 2 2 0.0341 0.3023 0.0341 0.3023 3 4 0.2528 0.8243 0.2528 0.8243 4 3 0.6017 0.1384 0.6017 0.1384 5 3 0.3527 0.3684 0.3753 0.4236 6 5 0.8600 0.7078 0.8600 0.7078 7 3 0.5794 0.6221 0.6324 0.6515 8 3 0.8971 0.4120 0.8971 0.4120 Energy with old centers, new clusters = 0.377683 Energy with new centers, new clusters = 0.377683 1 2 0.2326 0.0727 0.2326 0.0727 2 2 0.0341 0.3023 0.0341 0.3023 3 4 0.2528 0.8243 0.2528 0.8243 4 3 0.6017 0.1384 0.6017 0.1384 5 3 0.3753 0.4236 0.3753 0.4236 6 5 0.8600 0.7078 0.8600 0.7078 7 3 0.6324 0.6515 0.6324 0.6515 8 3 0.8971 0.4120 0.8971 0.4120 Energy with old centers, new clusters = 0.377683 Energy with new centers, new clusters = 0.377683 1 2 0.2326 0.0727 0.2326 0.0727 2 2 0.0341 0.3023 0.0341 0.3023 3 4 0.2528 0.8243 0.2528 0.8243 4 3 0.6017 0.1384 0.6017 0.1384 5 3 0.3753 0.4236 0.3753 0.4236 6 5 0.8600 0.7078 0.8600 0.7078 7 3 0.6324 0.6515 0.6324 0.6515 8 3 0.8971 0.4120 0.8971 0.4120 Energy with old centers, new clusters = 0.377683 Energy with new centers, new clusters = 0.377683 1 2 0.2326 0.0727 0.2326 0.0727 2 2 0.0341 0.3023 0.0341 0.3023 3 4 0.2528 0.8243 0.2528 0.8243 4 3 0.6017 0.1384 0.6017 0.1384 5 3 0.3753 0.4236 0.3753 0.4236 6 5 0.8600 0.7078 0.8600 0.7078 7 3 0.6324 0.6515 0.6324 0.6515 8 3 0.8971 0.4120 0.8971 0.4120 Energy with old centers, new clusters = 0.377683 Energy with new centers, new clusters = 0.377683 1 2 0.2326 0.0727 0.2326 0.0727 2 2 0.0341 0.3023 0.0341 0.3023 3 4 0.2528 0.8243 0.2528 0.8243 4 3 0.6017 0.1384 0.6017 0.1384 5 3 0.3753 0.4236 0.3753 0.4236 6 5 0.8600 0.7078 0.8600 0.7078 7 3 0.6324 0.6515 0.6324 0.6515 8 3 0.8971 0.4120 0.8971 0.4120 Energy with old centers, new clusters = 0.377683 Energy with new centers, new clusters = 0.377683 1 2 0.2326 0.0727 0.2326 0.0727 2 2 0.0341 0.3023 0.0341 0.3023 3 4 0.2528 0.8243 0.2528 0.8243 4 3 0.6017 0.1384 0.6017 0.1384 5 3 0.3753 0.4236 0.3753 0.4236 6 5 0.8600 0.7078 0.8600 0.7078 7 3 0.6324 0.6515 0.6324 0.6515 8 3 0.8971 0.4120 0.8971 0.4120 Energy with old centers, new clusters = 0.377683 Energy with new centers, new clusters = 0.377683 1 2 0.2326 0.0727 0.2326 0.0727 2 2 0.0341 0.3023 0.0341 0.3023 3 4 0.2528 0.8243 0.2528 0.8243 4 3 0.6017 0.1384 0.6017 0.1384 5 3 0.3753 0.4236 0.3753 0.4236 6 5 0.8600 0.7078 0.8600 0.7078 7 3 0.6324 0.6515 0.6324 0.6515 8 3 0.8971 0.4120 0.8971 0.4120 Energy with old centers, new clusters = 0.377683 Energy with new centers, new clusters = 0.377683 1 2 0.2326 0.0727 0.2326 0.0727 2 2 0.0341 0.3023 0.0341 0.3023 3 4 0.2528 0.8243 0.2528 0.8243 4 3 0.6017 0.1384 0.6017 0.1384 5 3 0.3753 0.4236 0.3753 0.4236 6 5 0.8600 0.7078 0.8600 0.7078 7 3 0.6324 0.6515 0.6324 0.6515 8 3 0.8971 0.4120 0.8971 0.4120 Energy with old centers, new clusters = 0.377683 Energy with new centers, new clusters = 0.377683 1 2 0.2326 0.0727 0.2326 0.0727 2 2 0.0341 0.3023 0.0341 0.3023 3 4 0.2528 0.8243 0.2528 0.8243 4 3 0.6017 0.1384 0.6017 0.1384 5 3 0.3753 0.4236 0.3753 0.4236 6 5 0.8600 0.7078 0.8600 0.7078 7 3 0.6324 0.6515 0.6324 0.6515 8 3 0.8971 0.4120 0.8971 0.4120 Energy with old centers, new clusters = 0.377683 Energy with new centers, new clusters = 0.377683 1 2 0.2326 0.0727 0.2326 0.0727 2 2 0.0341 0.3023 0.0341 0.3023 3 4 0.2528 0.8243 0.2528 0.8243 4 3 0.6017 0.1384 0.6017 0.1384 5 3 0.3753 0.4236 0.3753 0.4236 6 5 0.8600 0.7078 0.8600 0.7078 7 3 0.6324 0.6515 0.6324 0.6515 8 3 0.8971 0.4120 0.8971 0.4120 Energy with old centers, new clusters = 0.377683 Energy with new centers, new clusters = 0.377683 1 2 0.2326 0.0727 0.2326 0.0727 2 2 0.0341 0.3023 0.0341 0.3023 3 4 0.2528 0.8243 0.2528 0.8243 4 3 0.6017 0.1384 0.6017 0.1384 5 3 0.3753 0.4236 0.3753 0.4236 6 5 0.8600 0.7078 0.8600 0.7078 7 3 0.6324 0.6515 0.6324 0.6515 8 3 0.8971 0.4120 0.8971 0.4120 Energy with old centers, new clusters = 0.377683 Energy with new centers, new clusters = 0.377683 1 2 0.2326 0.0727 0.2326 0.0727 2 2 0.0341 0.3023 0.0341 0.3023 3 4 0.2528 0.8243 0.2528 0.8243 4 3 0.6017 0.1384 0.6017 0.1384 5 3 0.3753 0.4236 0.3753 0.4236 6 5 0.8600 0.7078 0.8600 0.7078 7 3 0.6324 0.6515 0.6324 0.6515 8 3 0.8971 0.4120 0.8971 0.4120 Energy with old centers, new clusters = 0.377683 Energy with new centers, new clusters = 0.377683 1 2 0.2326 0.0727 0.2326 0.0727 2 2 0.0341 0.3023 0.0341 0.3023 3 4 0.2528 0.8243 0.2528 0.8243 4 3 0.6017 0.1384 0.6017 0.1384 5 3 0.3753 0.4236 0.3753 0.4236 6 5 0.8600 0.7078 0.8600 0.7078 7 3 0.6324 0.6515 0.6324 0.6515 8 3 0.8971 0.4120 0.8971 0.4120 Energy with old centers, new clusters = 0.377683 Energy with new centers, new clusters = 0.377683 1 2 0.2326 0.0727 0.2326 0.0727 2 2 0.0341 0.3023 0.0341 0.3023 3 4 0.2528 0.8243 0.2528 0.8243 4 3 0.6017 0.1384 0.6017 0.1384 5 3 0.3753 0.4236 0.3753 0.4236 6 5 0.8600 0.7078 0.8600 0.7078 7 3 0.6324 0.6515 0.6324 0.6515 8 3 0.8971 0.4120 0.8971 0.4120 Energy with old centers, new clusters = 0.377683 Energy with new centers, new clusters = 0.377683 1 2 0.2326 0.0727 0.2326 0.0727 2 2 0.0341 0.3023 0.0341 0.3023 3 4 0.2528 0.8243 0.2528 0.8243 4 3 0.6017 0.1384 0.6017 0.1384 5 3 0.3753 0.4236 0.3753 0.4236 6 5 0.8600 0.7078 0.8600 0.7078 7 3 0.6324 0.6515 0.6324 0.6515 8 3 0.8971 0.4120 0.8971 0.4120 Energy with old centers, new clusters = 0.377683 Energy with new centers, new clusters = 0.377683 1 2 0.2326 0.0727 0.2326 0.0727 2 2 0.0341 0.3023 0.0341 0.3023 3 4 0.2528 0.8243 0.2528 0.8243 4 3 0.6017 0.1384 0.6017 0.1384 5 3 0.3753 0.4236 0.3753 0.4236 6 5 0.8600 0.7078 0.8600 0.7078 7 3 0.6324 0.6515 0.6324 0.6515 8 3 0.8971 0.4120 0.8971 0.4120 Energy with old centers, new clusters = 0.377683 Energy with new centers, new clusters = 0.377683 1 2 0.2326 0.0727 0.2326 0.0727 2 2 0.0341 0.3023 0.0341 0.3023 3 4 0.2528 0.8243 0.2528 0.8243 4 3 0.6017 0.1384 0.6017 0.1384 5 3 0.3753 0.4236 0.3753 0.4236 6 5 0.8600 0.7078 0.8600 0.7078 7 3 0.6324 0.6515 0.6324 0.6515 8 3 0.8971 0.4120 0.8971 0.4120 Energy with old centers, new clusters = 0.377683 Energy with new centers, new clusters = 0.377683 1 2 0.2326 0.0727 0.2326 0.0727 2 2 0.0341 0.3023 0.0341 0.3023 3 4 0.2528 0.8243 0.2528 0.8243 4 3 0.6017 0.1384 0.6017 0.1384 5 3 0.3753 0.4236 0.3753 0.4236 6 5 0.8600 0.7078 0.8600 0.7078 7 3 0.6324 0.6515 0.6324 0.6515 8 3 0.8971 0.4120 0.8971 0.4120 Number of clusters = 9 Initial energy = 7.04373 1 1 0.9796 0.0159 2 1 0.3129 0.0873 3 2 0.1601 0.3099 4 3 0.4155 0.5917 5 10 0.4952 0.3657 6 2 0.1439 0.7383 7 5 0.5392 0.8317 8 1 0.7558 0.5785 9 0 0.7704 0.3719 Energy with old centers, new clusters = 0.684757 Number of empty clusters was 1 Energy with new centers, new clusters = 0.547986 1 0 0.9796 0.0159 0.1563 0.8599 2 4 0.3129 0.0873 0.3834 0.0710 3 3 0.1601 0.3099 0.1306 0.3101 4 2 0.4155 0.5917 0.4022 0.6147 5 1 0.4952 0.3657 0.3816 0.4112 6 2 0.1439 0.7383 0.1334 0.8208 7 3 0.5392 0.8317 0.5596 0.8250 8 7 0.7558 0.5785 0.8380 0.6389 9 3 0.7704 0.3719 0.8136 0.3396 Energy with old centers, new clusters = 0.508084 Energy with new centers, new clusters = 0.400425 1 2 0.1563 0.8599 0.2181 0.9643 2 4 0.3834 0.0710 0.3834 0.0710 3 2 0.1306 0.3101 0.0341 0.3023 4 2 0.4022 0.6147 0.4022 0.6147 5 2 0.3816 0.4112 0.3527 0.3684 6 1 0.1334 0.8208 0.1910 0.6732 7 2 0.5596 0.8250 0.6592 0.7574 8 7 0.8380 0.6389 0.8380 0.6389 9 3 0.8136 0.3396 0.8136 0.3396 Energy with old centers, new clusters = 0.373004 Energy with new centers, new clusters = 0.331199 1 2 0.2181 0.9643 0.2181 0.9643 2 4 0.3834 0.0710 0.3834 0.0710 3 2 0.0341 0.3023 0.0341 0.3023 4 2 0.4022 0.6147 0.4022 0.6147 5 2 0.3527 0.3684 0.3527 0.3684 6 1 0.1910 0.6732 0.1910 0.6732 7 4 0.6592 0.7574 0.6610 0.6920 8 5 0.8380 0.6389 0.9081 0.6439 9 3 0.8136 0.3396 0.8136 0.3396 Energy with old centers, new clusters = 0.312815 Energy with new centers, new clusters = 0.304427 1 2 0.2181 0.9643 0.2181 0.9643 2 4 0.3834 0.0710 0.3834 0.0710 3 2 0.0341 0.3023 0.0341 0.3023 4 2 0.4022 0.6147 0.4022 0.6147 5 2 0.3527 0.3684 0.3527 0.3684 6 1 0.1910 0.6732 0.1910 0.6732 7 5 0.6610 0.6920 0.6794 0.6927 8 4 0.9081 0.6439 0.9470 0.6309 9 3 0.8136 0.3396 0.8136 0.3396 Energy with old centers, new clusters = 0.304427 Energy with new centers, new clusters = 0.304427 1 2 0.2181 0.9643 0.2181 0.9643 2 4 0.3834 0.0710 0.3834 0.0710 3 2 0.0341 0.3023 0.0341 0.3023 4 2 0.4022 0.6147 0.4022 0.6147 5 2 0.3527 0.3684 0.3527 0.3684 6 1 0.1910 0.6732 0.1910 0.6732 7 5 0.6794 0.6927 0.6794 0.6927 8 4 0.9470 0.6309 0.9470 0.6309 9 3 0.8136 0.3396 0.8136 0.3396 Energy with old centers, new clusters = 0.304427 Energy with new centers, new clusters = 0.304427 1 2 0.2181 0.9643 0.2181 0.9643 2 4 0.3834 0.0710 0.3834 0.0710 3 2 0.0341 0.3023 0.0341 0.3023 4 2 0.4022 0.6147 0.4022 0.6147 5 2 0.3527 0.3684 0.3527 0.3684 6 1 0.1910 0.6732 0.1910 0.6732 7 5 0.6794 0.6927 0.6794 0.6927 8 4 0.9470 0.6309 0.9470 0.6309 9 3 0.8136 0.3396 0.8136 0.3396 Energy with old centers, new clusters = 0.304427 Energy with new centers, new clusters = 0.304427 1 2 0.2181 0.9643 0.2181 0.9643 2 4 0.3834 0.0710 0.3834 0.0710 3 2 0.0341 0.3023 0.0341 0.3023 4 2 0.4022 0.6147 0.4022 0.6147 5 2 0.3527 0.3684 0.3527 0.3684 6 1 0.1910 0.6732 0.1910 0.6732 7 5 0.6794 0.6927 0.6794 0.6927 8 4 0.9470 0.6309 0.9470 0.6309 9 3 0.8136 0.3396 0.8136 0.3396 Energy with old centers, new clusters = 0.304427 Energy with new centers, new clusters = 0.304427 1 2 0.2181 0.9643 0.2181 0.9643 2 4 0.3834 0.0710 0.3834 0.0710 3 2 0.0341 0.3023 0.0341 0.3023 4 2 0.4022 0.6147 0.4022 0.6147 5 2 0.3527 0.3684 0.3527 0.3684 6 1 0.1910 0.6732 0.1910 0.6732 7 5 0.6794 0.6927 0.6794 0.6927 8 4 0.9470 0.6309 0.9470 0.6309 9 3 0.8136 0.3396 0.8136 0.3396 Energy with old centers, new clusters = 0.304427 Energy with new centers, new clusters = 0.304427 1 2 0.2181 0.9643 0.2181 0.9643 2 4 0.3834 0.0710 0.3834 0.0710 3 2 0.0341 0.3023 0.0341 0.3023 4 2 0.4022 0.6147 0.4022 0.6147 5 2 0.3527 0.3684 0.3527 0.3684 6 1 0.1910 0.6732 0.1910 0.6732 7 5 0.6794 0.6927 0.6794 0.6927 8 4 0.9470 0.6309 0.9470 0.6309 9 3 0.8136 0.3396 0.8136 0.3396 Energy with old centers, new clusters = 0.304427 Energy with new centers, new clusters = 0.304427 1 2 0.2181 0.9643 0.2181 0.9643 2 4 0.3834 0.0710 0.3834 0.0710 3 2 0.0341 0.3023 0.0341 0.3023 4 2 0.4022 0.6147 0.4022 0.6147 5 2 0.3527 0.3684 0.3527 0.3684 6 1 0.1910 0.6732 0.1910 0.6732 7 5 0.6794 0.6927 0.6794 0.6927 8 4 0.9470 0.6309 0.9470 0.6309 9 3 0.8136 0.3396 0.8136 0.3396 Energy with old centers, new clusters = 0.304427 Energy with new centers, new clusters = 0.304427 1 2 0.2181 0.9643 0.2181 0.9643 2 4 0.3834 0.0710 0.3834 0.0710 3 2 0.0341 0.3023 0.0341 0.3023 4 2 0.4022 0.6147 0.4022 0.6147 5 2 0.3527 0.3684 0.3527 0.3684 6 1 0.1910 0.6732 0.1910 0.6732 7 5 0.6794 0.6927 0.6794 0.6927 8 4 0.9470 0.6309 0.9470 0.6309 9 3 0.8136 0.3396 0.8136 0.3396 Energy with old centers, new clusters = 0.304427 Energy with new centers, new clusters = 0.304427 1 2 0.2181 0.9643 0.2181 0.9643 2 4 0.3834 0.0710 0.3834 0.0710 3 2 0.0341 0.3023 0.0341 0.3023 4 2 0.4022 0.6147 0.4022 0.6147 5 2 0.3527 0.3684 0.3527 0.3684 6 1 0.1910 0.6732 0.1910 0.6732 7 5 0.6794 0.6927 0.6794 0.6927 8 4 0.9470 0.6309 0.9470 0.6309 9 3 0.8136 0.3396 0.8136 0.3396 Energy with old centers, new clusters = 0.304427 Energy with new centers, new clusters = 0.304427 1 2 0.2181 0.9643 0.2181 0.9643 2 4 0.3834 0.0710 0.3834 0.0710 3 2 0.0341 0.3023 0.0341 0.3023 4 2 0.4022 0.6147 0.4022 0.6147 5 2 0.3527 0.3684 0.3527 0.3684 6 1 0.1910 0.6732 0.1910 0.6732 7 5 0.6794 0.6927 0.6794 0.6927 8 4 0.9470 0.6309 0.9470 0.6309 9 3 0.8136 0.3396 0.8136 0.3396 Energy with old centers, new clusters = 0.304427 Energy with new centers, new clusters = 0.304427 1 2 0.2181 0.9643 0.2181 0.9643 2 4 0.3834 0.0710 0.3834 0.0710 3 2 0.0341 0.3023 0.0341 0.3023 4 2 0.4022 0.6147 0.4022 0.6147 5 2 0.3527 0.3684 0.3527 0.3684 6 1 0.1910 0.6732 0.1910 0.6732 7 5 0.6794 0.6927 0.6794 0.6927 8 4 0.9470 0.6309 0.9470 0.6309 9 3 0.8136 0.3396 0.8136 0.3396 Energy with old centers, new clusters = 0.304427 Energy with new centers, new clusters = 0.304427 1 2 0.2181 0.9643 0.2181 0.9643 2 4 0.3834 0.0710 0.3834 0.0710 3 2 0.0341 0.3023 0.0341 0.3023 4 2 0.4022 0.6147 0.4022 0.6147 5 2 0.3527 0.3684 0.3527 0.3684 6 1 0.1910 0.6732 0.1910 0.6732 7 5 0.6794 0.6927 0.6794 0.6927 8 4 0.9470 0.6309 0.9470 0.6309 9 3 0.8136 0.3396 0.8136 0.3396 Energy with old centers, new clusters = 0.304427 Energy with new centers, new clusters = 0.304427 1 2 0.2181 0.9643 0.2181 0.9643 2 4 0.3834 0.0710 0.3834 0.0710 3 2 0.0341 0.3023 0.0341 0.3023 4 2 0.4022 0.6147 0.4022 0.6147 5 2 0.3527 0.3684 0.3527 0.3684 6 1 0.1910 0.6732 0.1910 0.6732 7 5 0.6794 0.6927 0.6794 0.6927 8 4 0.9470 0.6309 0.9470 0.6309 9 3 0.8136 0.3396 0.8136 0.3396 Energy with old centers, new clusters = 0.304427 Energy with new centers, new clusters = 0.304427 1 2 0.2181 0.9643 0.2181 0.9643 2 4 0.3834 0.0710 0.3834 0.0710 3 2 0.0341 0.3023 0.0341 0.3023 4 2 0.4022 0.6147 0.4022 0.6147 5 2 0.3527 0.3684 0.3527 0.3684 6 1 0.1910 0.6732 0.1910 0.6732 7 5 0.6794 0.6927 0.6794 0.6927 8 4 0.9470 0.6309 0.9470 0.6309 9 3 0.8136 0.3396 0.8136 0.3396 Energy with old centers, new clusters = 0.304427 Energy with new centers, new clusters = 0.304427 1 2 0.2181 0.9643 0.2181 0.9643 2 4 0.3834 0.0710 0.3834 0.0710 3 2 0.0341 0.3023 0.0341 0.3023 4 2 0.4022 0.6147 0.4022 0.6147 5 2 0.3527 0.3684 0.3527 0.3684 6 1 0.1910 0.6732 0.1910 0.6732 7 5 0.6794 0.6927 0.6794 0.6927 8 4 0.9470 0.6309 0.9470 0.6309 9 3 0.8136 0.3396 0.8136 0.3396 Energy with old centers, new clusters = 0.304427 Energy with new centers, new clusters = 0.304427 1 2 0.2181 0.9643 0.2181 0.9643 2 4 0.3834 0.0710 0.3834 0.0710 3 2 0.0341 0.3023 0.0341 0.3023 4 2 0.4022 0.6147 0.4022 0.6147 5 2 0.3527 0.3684 0.3527 0.3684 6 1 0.1910 0.6732 0.1910 0.6732 7 5 0.6794 0.6927 0.6794 0.6927 8 4 0.9470 0.6309 0.9470 0.6309 9 3 0.8136 0.3396 0.8136 0.3396 Energy with old centers, new clusters = 0.304427 Energy with new centers, new clusters = 0.304427 1 2 0.2181 0.9643 0.2181 0.9643 2 4 0.3834 0.0710 0.3834 0.0710 3 2 0.0341 0.3023 0.0341 0.3023 4 2 0.4022 0.6147 0.4022 0.6147 5 2 0.3527 0.3684 0.3527 0.3684 6 1 0.1910 0.6732 0.1910 0.6732 7 5 0.6794 0.6927 0.6794 0.6927 8 4 0.9470 0.6309 0.9470 0.6309 9 3 0.8136 0.3396 0.8136 0.3396 Number of clusters = 10 Initial energy = 8.18477 1 4 0.9645 0.3079 2 5 0.4995 0.8100 3 3 0.1073 0.2807 4 2 0.8007 0.5024 5 3 0.9528 0.8202 6 0 0.6464 0.7217 7 3 0.8483 0.4459 8 1 0.4052 0.8921 9 1 0.8646 0.9043 10 3 0.1032 0.5218 Energy with old centers, new clusters = 1.19376 Number of empty clusters was 1 Energy with new centers, new clusters = 0.627460 1 1 0.9645 0.3079 0.9507 0.3803 2 2 0.4995 0.8100 0.4022 0.6147 3 6 0.1073 0.2807 0.2307 0.1814 4 1 0.8007 0.5024 0.9549 0.5893 5 2 0.9528 0.8202 0.9228 0.7205 6 5 0.6464 0.7217 0.6794 0.6927 7 4 0.8483 0.4459 0.7547 0.3146 8 2 0.4052 0.8921 0.2181 0.9643 9 0 0.8646 0.9043 0.8443 0.4891 10 2 0.1032 0.5218 0.2863 0.5422 Energy with old centers, new clusters = 0.546881 Number of empty clusters was 1 Energy with new centers, new clusters = 0.472275 1 1 0.9507 0.3803 0.9507 0.3803 2 2 0.4022 0.6147 0.4022 0.6147 3 5 0.2307 0.1814 0.2662 0.1377 4 2 0.9549 0.5893 0.9711 0.5414 5 2 0.9228 0.7205 0.9228 0.7205 6 5 0.6794 0.6927 0.6794 0.6927 7 3 0.7547 0.3146 0.6771 0.2549 8 2 0.2181 0.9643 0.2181 0.9643 9 0 0.8443 0.4891 0.2443 0.6517 10 3 0.2863 0.5422 0.2086 0.4947 Energy with old centers, new clusters = 0.440922 Energy with new centers, new clusters = 0.380300 1 1 0.9507 0.3803 0.9507 0.3803 2 2 0.4022 0.6147 0.4022 0.6147 3 4 0.2662 0.1377 0.2010 0.1690 4 2 0.9711 0.5414 0.9711 0.5414 5 2 0.9228 0.7205 0.9228 0.7205 6 5 0.6794 0.6927 0.6794 0.6927 7 4 0.6771 0.2549 0.6396 0.1943 8 2 0.2181 0.9643 0.2181 0.9643 9 1 0.2443 0.6517 0.1910 0.6732 10 2 0.2086 0.4947 0.2173 0.4055 Energy with old centers, new clusters = 0.356621 Energy with new centers, new clusters = 0.304160 1 2 0.9507 0.3803 0.8520 0.3712 2 2 0.4022 0.6147 0.4022 0.6147 3 3 0.2010 0.1690 0.1601 0.1167 4 2 0.9711 0.5414 0.9711 0.5414 5 2 0.9228 0.7205 0.9228 0.7205 6 5 0.6794 0.6927 0.6794 0.6927 7 3 0.6396 0.1943 0.6017 0.1384 8 2 0.2181 0.9643 0.2181 0.9643 9 1 0.1910 0.6732 0.1910 0.6732 10 3 0.2173 0.4055 0.2528 0.3789 Energy with old centers, new clusters = 0.289127 Energy with new centers, new clusters = 0.263052 1 3 0.8520 0.3712 0.8136 0.3396 2 2 0.4022 0.6147 0.4022 0.6147 3 3 0.1601 0.1167 0.1601 0.1167 4 2 0.9711 0.5414 0.9711 0.5414 5 2 0.9228 0.7205 0.9228 0.7205 6 5 0.6794 0.6927 0.6794 0.6927 7 2 0.6017 0.1384 0.5342 0.0693 8 2 0.2181 0.9643 0.2181 0.9643 9 1 0.1910 0.6732 0.1910 0.6732 10 3 0.2528 0.3789 0.2528 0.3789 Energy with old centers, new clusters = 0.263052 Energy with new centers, new clusters = 0.263052 1 3 0.8136 0.3396 0.8136 0.3396 2 2 0.4022 0.6147 0.4022 0.6147 3 3 0.1601 0.1167 0.1601 0.1167 4 2 0.9711 0.5414 0.9711 0.5414 5 2 0.9228 0.7205 0.9228 0.7205 6 5 0.6794 0.6927 0.6794 0.6927 7 2 0.5342 0.0693 0.5342 0.0693 8 2 0.2181 0.9643 0.2181 0.9643 9 1 0.1910 0.6732 0.1910 0.6732 10 3 0.2528 0.3789 0.2528 0.3789 Energy with old centers, new clusters = 0.263052 Energy with new centers, new clusters = 0.263052 1 3 0.8136 0.3396 0.8136 0.3396 2 2 0.4022 0.6147 0.4022 0.6147 3 3 0.1601 0.1167 0.1601 0.1167 4 2 0.9711 0.5414 0.9711 0.5414 5 2 0.9228 0.7205 0.9228 0.7205 6 5 0.6794 0.6927 0.6794 0.6927 7 2 0.5342 0.0693 0.5342 0.0693 8 2 0.2181 0.9643 0.2181 0.9643 9 1 0.1910 0.6732 0.1910 0.6732 10 3 0.2528 0.3789 0.2528 0.3789 Energy with old centers, new clusters = 0.263052 Energy with new centers, new clusters = 0.263052 1 3 0.8136 0.3396 0.8136 0.3396 2 2 0.4022 0.6147 0.4022 0.6147 3 3 0.1601 0.1167 0.1601 0.1167 4 2 0.9711 0.5414 0.9711 0.5414 5 2 0.9228 0.7205 0.9228 0.7205 6 5 0.6794 0.6927 0.6794 0.6927 7 2 0.5342 0.0693 0.5342 0.0693 8 2 0.2181 0.9643 0.2181 0.9643 9 1 0.1910 0.6732 0.1910 0.6732 10 3 0.2528 0.3789 0.2528 0.3789 Energy with old centers, new clusters = 0.263052 Energy with new centers, new clusters = 0.263052 1 3 0.8136 0.3396 0.8136 0.3396 2 2 0.4022 0.6147 0.4022 0.6147 3 3 0.1601 0.1167 0.1601 0.1167 4 2 0.9711 0.5414 0.9711 0.5414 5 2 0.9228 0.7205 0.9228 0.7205 6 5 0.6794 0.6927 0.6794 0.6927 7 2 0.5342 0.0693 0.5342 0.0693 8 2 0.2181 0.9643 0.2181 0.9643 9 1 0.1910 0.6732 0.1910 0.6732 10 3 0.2528 0.3789 0.2528 0.3789 Energy with old centers, new clusters = 0.263052 Energy with new centers, new clusters = 0.263052 1 3 0.8136 0.3396 0.8136 0.3396 2 2 0.4022 0.6147 0.4022 0.6147 3 3 0.1601 0.1167 0.1601 0.1167 4 2 0.9711 0.5414 0.9711 0.5414 5 2 0.9228 0.7205 0.9228 0.7205 6 5 0.6794 0.6927 0.6794 0.6927 7 2 0.5342 0.0693 0.5342 0.0693 8 2 0.2181 0.9643 0.2181 0.9643 9 1 0.1910 0.6732 0.1910 0.6732 10 3 0.2528 0.3789 0.2528 0.3789 Energy with old centers, new clusters = 0.263052 Energy with new centers, new clusters = 0.263052 1 3 0.8136 0.3396 0.8136 0.3396 2 2 0.4022 0.6147 0.4022 0.6147 3 3 0.1601 0.1167 0.1601 0.1167 4 2 0.9711 0.5414 0.9711 0.5414 5 2 0.9228 0.7205 0.9228 0.7205 6 5 0.6794 0.6927 0.6794 0.6927 7 2 0.5342 0.0693 0.5342 0.0693 8 2 0.2181 0.9643 0.2181 0.9643 9 1 0.1910 0.6732 0.1910 0.6732 10 3 0.2528 0.3789 0.2528 0.3789 Energy with old centers, new clusters = 0.263052 Energy with new centers, new clusters = 0.263052 1 3 0.8136 0.3396 0.8136 0.3396 2 2 0.4022 0.6147 0.4022 0.6147 3 3 0.1601 0.1167 0.1601 0.1167 4 2 0.9711 0.5414 0.9711 0.5414 5 2 0.9228 0.7205 0.9228 0.7205 6 5 0.6794 0.6927 0.6794 0.6927 7 2 0.5342 0.0693 0.5342 0.0693 8 2 0.2181 0.9643 0.2181 0.9643 9 1 0.1910 0.6732 0.1910 0.6732 10 3 0.2528 0.3789 0.2528 0.3789 Energy with old centers, new clusters = 0.263052 Energy with new centers, new clusters = 0.263052 1 3 0.8136 0.3396 0.8136 0.3396 2 2 0.4022 0.6147 0.4022 0.6147 3 3 0.1601 0.1167 0.1601 0.1167 4 2 0.9711 0.5414 0.9711 0.5414 5 2 0.9228 0.7205 0.9228 0.7205 6 5 0.6794 0.6927 0.6794 0.6927 7 2 0.5342 0.0693 0.5342 0.0693 8 2 0.2181 0.9643 0.2181 0.9643 9 1 0.1910 0.6732 0.1910 0.6732 10 3 0.2528 0.3789 0.2528 0.3789 Energy with old centers, new clusters = 0.263052 Energy with new centers, new clusters = 0.263052 1 3 0.8136 0.3396 0.8136 0.3396 2 2 0.4022 0.6147 0.4022 0.6147 3 3 0.1601 0.1167 0.1601 0.1167 4 2 0.9711 0.5414 0.9711 0.5414 5 2 0.9228 0.7205 0.9228 0.7205 6 5 0.6794 0.6927 0.6794 0.6927 7 2 0.5342 0.0693 0.5342 0.0693 8 2 0.2181 0.9643 0.2181 0.9643 9 1 0.1910 0.6732 0.1910 0.6732 10 3 0.2528 0.3789 0.2528 0.3789 Energy with old centers, new clusters = 0.263052 Energy with new centers, new clusters = 0.263052 1 3 0.8136 0.3396 0.8136 0.3396 2 2 0.4022 0.6147 0.4022 0.6147 3 3 0.1601 0.1167 0.1601 0.1167 4 2 0.9711 0.5414 0.9711 0.5414 5 2 0.9228 0.7205 0.9228 0.7205 6 5 0.6794 0.6927 0.6794 0.6927 7 2 0.5342 0.0693 0.5342 0.0693 8 2 0.2181 0.9643 0.2181 0.9643 9 1 0.1910 0.6732 0.1910 0.6732 10 3 0.2528 0.3789 0.2528 0.3789 Energy with old centers, new clusters = 0.263052 Energy with new centers, new clusters = 0.263052 1 3 0.8136 0.3396 0.8136 0.3396 2 2 0.4022 0.6147 0.4022 0.6147 3 3 0.1601 0.1167 0.1601 0.1167 4 2 0.9711 0.5414 0.9711 0.5414 5 2 0.9228 0.7205 0.9228 0.7205 6 5 0.6794 0.6927 0.6794 0.6927 7 2 0.5342 0.0693 0.5342 0.0693 8 2 0.2181 0.9643 0.2181 0.9643 9 1 0.1910 0.6732 0.1910 0.6732 10 3 0.2528 0.3789 0.2528 0.3789 Energy with old centers, new clusters = 0.263052 Energy with new centers, new clusters = 0.263052 1 3 0.8136 0.3396 0.8136 0.3396 2 2 0.4022 0.6147 0.4022 0.6147 3 3 0.1601 0.1167 0.1601 0.1167 4 2 0.9711 0.5414 0.9711 0.5414 5 2 0.9228 0.7205 0.9228 0.7205 6 5 0.6794 0.6927 0.6794 0.6927 7 2 0.5342 0.0693 0.5342 0.0693 8 2 0.2181 0.9643 0.2181 0.9643 9 1 0.1910 0.6732 0.1910 0.6732 10 3 0.2528 0.3789 0.2528 0.3789 Energy with old centers, new clusters = 0.263052 Energy with new centers, new clusters = 0.263052 1 3 0.8136 0.3396 0.8136 0.3396 2 2 0.4022 0.6147 0.4022 0.6147 3 3 0.1601 0.1167 0.1601 0.1167 4 2 0.9711 0.5414 0.9711 0.5414 5 2 0.9228 0.7205 0.9228 0.7205 6 5 0.6794 0.6927 0.6794 0.6927 7 2 0.5342 0.0693 0.5342 0.0693 8 2 0.2181 0.9643 0.2181 0.9643 9 1 0.1910 0.6732 0.1910 0.6732 10 3 0.2528 0.3789 0.2528 0.3789 Energy with old centers, new clusters = 0.263052 Energy with new centers, new clusters = 0.263052 1 3 0.8136 0.3396 0.8136 0.3396 2 2 0.4022 0.6147 0.4022 0.6147 3 3 0.1601 0.1167 0.1601 0.1167 4 2 0.9711 0.5414 0.9711 0.5414 5 2 0.9228 0.7205 0.9228 0.7205 6 5 0.6794 0.6927 0.6794 0.6927 7 2 0.5342 0.0693 0.5342 0.0693 8 2 0.2181 0.9643 0.2181 0.9643 9 1 0.1910 0.6732 0.1910 0.6732 10 3 0.2528 0.3789 0.2528 0.3789 Energy with old centers, new clusters = 0.263052 Energy with new centers, new clusters = 0.263052 1 3 0.8136 0.3396 0.8136 0.3396 2 2 0.4022 0.6147 0.4022 0.6147 3 3 0.1601 0.1167 0.1601 0.1167 4 2 0.9711 0.5414 0.9711 0.5414 5 2 0.9228 0.7205 0.9228 0.7205 6 5 0.6794 0.6927 0.6794 0.6927 7 2 0.5342 0.0693 0.5342 0.0693 8 2 0.2181 0.9643 0.2181 0.9643 9 1 0.1910 0.6732 0.1910 0.6732 10 3 0.2528 0.3789 0.2528 0.3789 Energy table: Number Total Energy Square of Energy per Root Clusters point 1 4.00269 0.160108 0.400134 2 2.26360 0.905442E-01 0.300906 3 1.20729 0.482916E-01 0.219754 4 1.13121 0.452483E-01 0.212716 5 0.787598 0.315039E-01 0.177493 6 0.731307 0.292523E-01 0.171033 7 0.614407 0.245763E-01 0.156768 8 0.377683 0.151073E-01 0.122912 9 0.304427 0.121771E-01 0.110350 10 0.263052 0.105221E-01 0.102577 CLUSTER_ENERGY Normal end of execution. August 28 2002 8:10:59.726 AM