May 9 2025 8:57:34.808 PM CLUSTER_ENERGY Fortran90 version Compute the cluster energy of a set of points. 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 lower and upper bounds. Enter all the lower bounds for the region, then the upper bounds: The program will place 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 seeks the minimal energy. Usually, we do this calculation for a range of clusters, and tabulate their energy. Enter the lower and upper number of clusters To seek the minimal energy, the program carries out an iteration. Usually, we specify lower and upper limits 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 = 9.66654 1 25 0.3654 0.0593 Energy with old centers, new clusters = 9.66654 Energy with new centers, new clusters = 4.05017 1 25 0.3654 0.0593 0.5262 0.5052 Energy with old centers, new clusters = 4.05017 Energy with new centers, new clusters = 4.05017 1 25 0.5262 0.5052 0.5262 0.5052 Energy with old centers, new clusters = 4.05017 Energy with new centers, new clusters = 4.05017 1 25 0.5262 0.5052 0.5262 0.5052 Energy with old centers, new clusters = 4.05017 Energy with new centers, new clusters = 4.05017 1 25 0.5262 0.5052 0.5262 0.5052 Energy with old centers, new clusters = 4.05017 Energy with new centers, new clusters = 4.05017 1 25 0.5262 0.5052 0.5262 0.5052 Energy with old centers, new clusters = 4.05017 Energy with new centers, new clusters = 4.05017 1 25 0.5262 0.5052 0.5262 0.5052 Energy with old centers, new clusters = 4.05017 Energy with new centers, new clusters = 4.05017 1 25 0.5262 0.5052 0.5262 0.5052 Energy with old centers, new clusters = 4.05017 Energy with new centers, new clusters = 4.05017 1 25 0.5262 0.5052 0.5262 0.5052 Energy with old centers, new clusters = 4.05017 Energy with new centers, new clusters = 4.05017 1 25 0.5262 0.5052 0.5262 0.5052 Energy with old centers, new clusters = 4.05017 Energy with new centers, new clusters = 4.05017 1 25 0.5262 0.5052 0.5262 0.5052 Energy with old centers, new clusters = 4.05017 Energy with new centers, new clusters = 4.05017 1 25 0.5262 0.5052 0.5262 0.5052 Energy with old centers, new clusters = 4.05017 Energy with new centers, new clusters = 4.05017 1 25 0.5262 0.5052 0.5262 0.5052 Energy with old centers, new clusters = 4.05017 Energy with new centers, new clusters = 4.05017 1 25 0.5262 0.5052 0.5262 0.5052 Energy with old centers, new clusters = 4.05017 Energy with new centers, new clusters = 4.05017 1 25 0.5262 0.5052 0.5262 0.5052 Energy with old centers, new clusters = 4.05017 Energy with new centers, new clusters = 4.05017 1 25 0.5262 0.5052 0.5262 0.5052 Energy with old centers, new clusters = 4.05017 Energy with new centers, new clusters = 4.05017 1 25 0.5262 0.5052 0.5262 0.5052 Energy with old centers, new clusters = 4.05017 Energy with new centers, new clusters = 4.05017 1 25 0.5262 0.5052 0.5262 0.5052 Energy with old centers, new clusters = 4.05017 Energy with new centers, new clusters = 4.05017 1 25 0.5262 0.5052 0.5262 0.5052 Energy with old centers, new clusters = 4.05017 Energy with new centers, new clusters = 4.05017 1 25 0.5262 0.5052 0.5262 0.5052 Energy with old centers, new clusters = 4.05017 Energy with new centers, new clusters = 4.05017 1 25 0.5262 0.5052 0.5262 0.5052 Number of clusters = 2 Initial energy = 12.1442 1 18 0.1515 0.9240 2 7 0.2270 0.0195 Energy with old centers, new clusters = 7.25309 Energy with new centers, new clusters = 2.90190 1 12 0.1515 0.9240 0.4785 0.7231 2 13 0.2270 0.0195 0.5702 0.3040 Energy with old centers, new clusters = 2.90190 Energy with new centers, new clusters = 2.90190 1 12 0.4785 0.7231 0.4785 0.7231 2 13 0.5702 0.3040 0.5702 0.3040 Energy with old centers, new clusters = 2.90190 Energy with new centers, new clusters = 2.90190 1 12 0.4785 0.7231 0.4785 0.7231 2 13 0.5702 0.3040 0.5702 0.3040 Energy with old centers, new clusters = 2.90190 Energy with new centers, new clusters = 2.90190 1 12 0.4785 0.7231 0.4785 0.7231 2 13 0.5702 0.3040 0.5702 0.3040 Energy with old centers, new clusters = 2.90190 Energy with new centers, new clusters = 2.90190 1 12 0.4785 0.7231 0.4785 0.7231 2 13 0.5702 0.3040 0.5702 0.3040 Energy with old centers, new clusters = 2.90190 Energy with new centers, new clusters = 2.90190 1 12 0.4785 0.7231 0.4785 0.7231 2 13 0.5702 0.3040 0.5702 0.3040 Energy with old centers, new clusters = 2.90190 Energy with new centers, new clusters = 2.90190 1 12 0.4785 0.7231 0.4785 0.7231 2 13 0.5702 0.3040 0.5702 0.3040 Energy with old centers, new clusters = 2.90190 Energy with new centers, new clusters = 2.90190 1 12 0.4785 0.7231 0.4785 0.7231 2 13 0.5702 0.3040 0.5702 0.3040 Energy with old centers, new clusters = 2.90190 Energy with new centers, new clusters = 2.90190 1 12 0.4785 0.7231 0.4785 0.7231 2 13 0.5702 0.3040 0.5702 0.3040 Energy with old centers, new clusters = 2.90190 Energy with new centers, new clusters = 2.90190 1 12 0.4785 0.7231 0.4785 0.7231 2 13 0.5702 0.3040 0.5702 0.3040 Energy with old centers, new clusters = 2.90190 Energy with new centers, new clusters = 2.90190 1 12 0.4785 0.7231 0.4785 0.7231 2 13 0.5702 0.3040 0.5702 0.3040 Energy with old centers, new clusters = 2.90190 Energy with new centers, new clusters = 2.90190 1 12 0.4785 0.7231 0.4785 0.7231 2 13 0.5702 0.3040 0.5702 0.3040 Energy with old centers, new clusters = 2.90190 Energy with new centers, new clusters = 2.90190 1 12 0.4785 0.7231 0.4785 0.7231 2 13 0.5702 0.3040 0.5702 0.3040 Energy with old centers, new clusters = 2.90190 Energy with new centers, new clusters = 2.90190 1 12 0.4785 0.7231 0.4785 0.7231 2 13 0.5702 0.3040 0.5702 0.3040 Energy with old centers, new clusters = 2.90190 Energy with new centers, new clusters = 2.90190 1 12 0.4785 0.7231 0.4785 0.7231 2 13 0.5702 0.3040 0.5702 0.3040 Energy with old centers, new clusters = 2.90190 Energy with new centers, new clusters = 2.90190 1 12 0.4785 0.7231 0.4785 0.7231 2 13 0.5702 0.3040 0.5702 0.3040 Energy with old centers, new clusters = 2.90190 Energy with new centers, new clusters = 2.90190 1 12 0.4785 0.7231 0.4785 0.7231 2 13 0.5702 0.3040 0.5702 0.3040 Energy with old centers, new clusters = 2.90190 Energy with new centers, new clusters = 2.90190 1 12 0.4785 0.7231 0.4785 0.7231 2 13 0.5702 0.3040 0.5702 0.3040 Energy with old centers, new clusters = 2.90190 Energy with new centers, new clusters = 2.90190 1 12 0.4785 0.7231 0.4785 0.7231 2 13 0.5702 0.3040 0.5702 0.3040 Energy with old centers, new clusters = 2.90190 Energy with new centers, new clusters = 2.90190 1 12 0.4785 0.7231 0.4785 0.7231 2 13 0.5702 0.3040 0.5702 0.3040 Number of clusters = 3 Initial energy = 5.32423 1 10 0.2816 0.6866 2 6 0.6347 0.6098 3 9 0.9232 0.3404 Energy with old centers, new clusters = 2.02690 Energy with new centers, new clusters = 1.44772 1 11 0.2816 0.6866 0.1956 0.5218 2 8 0.6347 0.6098 0.7558 0.6443 3 6 0.9232 0.3404 0.8262 0.2890 Energy with old centers, new clusters = 1.39695 Energy with new centers, new clusters = 1.35054 1 12 0.1956 0.5218 0.2175 0.5253 2 6 0.7558 0.6443 0.8134 0.6966 3 7 0.8262 0.2890 0.8092 0.3065 Energy with old centers, new clusters = 1.35054 Energy with new centers, new clusters = 1.35054 1 12 0.2175 0.5253 0.2175 0.5253 2 6 0.8134 0.6966 0.8134 0.6966 3 7 0.8092 0.3065 0.8092 0.3065 Energy with old centers, new clusters = 1.35054 Energy with new centers, new clusters = 1.35054 1 12 0.2175 0.5253 0.2175 0.5253 2 6 0.8134 0.6966 0.8134 0.6966 3 7 0.8092 0.3065 0.8092 0.3065 Energy with old centers, new clusters = 1.35054 Energy with new centers, new clusters = 1.35054 1 12 0.2175 0.5253 0.2175 0.5253 2 6 0.8134 0.6966 0.8134 0.6966 3 7 0.8092 0.3065 0.8092 0.3065 Energy with old centers, new clusters = 1.35054 Energy with new centers, new clusters = 1.35054 1 12 0.2175 0.5253 0.2175 0.5253 2 6 0.8134 0.6966 0.8134 0.6966 3 7 0.8092 0.3065 0.8092 0.3065 Energy with old centers, new clusters = 1.35054 Energy with new centers, new clusters = 1.35054 1 12 0.2175 0.5253 0.2175 0.5253 2 6 0.8134 0.6966 0.8134 0.6966 3 7 0.8092 0.3065 0.8092 0.3065 Energy with old centers, new clusters = 1.35054 Energy with new centers, new clusters = 1.35054 1 12 0.2175 0.5253 0.2175 0.5253 2 6 0.8134 0.6966 0.8134 0.6966 3 7 0.8092 0.3065 0.8092 0.3065 Energy with old centers, new clusters = 1.35054 Energy with new centers, new clusters = 1.35054 1 12 0.2175 0.5253 0.2175 0.5253 2 6 0.8134 0.6966 0.8134 0.6966 3 7 0.8092 0.3065 0.8092 0.3065 Energy with old centers, new clusters = 1.35054 Energy with new centers, new clusters = 1.35054 1 12 0.2175 0.5253 0.2175 0.5253 2 6 0.8134 0.6966 0.8134 0.6966 3 7 0.8092 0.3065 0.8092 0.3065 Energy with old centers, new clusters = 1.35054 Energy with new centers, new clusters = 1.35054 1 12 0.2175 0.5253 0.2175 0.5253 2 6 0.8134 0.6966 0.8134 0.6966 3 7 0.8092 0.3065 0.8092 0.3065 Energy with old centers, new clusters = 1.35054 Energy with new centers, new clusters = 1.35054 1 12 0.2175 0.5253 0.2175 0.5253 2 6 0.8134 0.6966 0.8134 0.6966 3 7 0.8092 0.3065 0.8092 0.3065 Energy with old centers, new clusters = 1.35054 Energy with new centers, new clusters = 1.35054 1 12 0.2175 0.5253 0.2175 0.5253 2 6 0.8134 0.6966 0.8134 0.6966 3 7 0.8092 0.3065 0.8092 0.3065 Energy with old centers, new clusters = 1.35054 Energy with new centers, new clusters = 1.35054 1 12 0.2175 0.5253 0.2175 0.5253 2 6 0.8134 0.6966 0.8134 0.6966 3 7 0.8092 0.3065 0.8092 0.3065 Energy with old centers, new clusters = 1.35054 Energy with new centers, new clusters = 1.35054 1 12 0.2175 0.5253 0.2175 0.5253 2 6 0.8134 0.6966 0.8134 0.6966 3 7 0.8092 0.3065 0.8092 0.3065 Energy with old centers, new clusters = 1.35054 Energy with new centers, new clusters = 1.35054 1 12 0.2175 0.5253 0.2175 0.5253 2 6 0.8134 0.6966 0.8134 0.6966 3 7 0.8092 0.3065 0.8092 0.3065 Energy with old centers, new clusters = 1.35054 Energy with new centers, new clusters = 1.35054 1 12 0.2175 0.5253 0.2175 0.5253 2 6 0.8134 0.6966 0.8134 0.6966 3 7 0.8092 0.3065 0.8092 0.3065 Energy with old centers, new clusters = 1.35054 Energy with new centers, new clusters = 1.35054 1 12 0.2175 0.5253 0.2175 0.5253 2 6 0.8134 0.6966 0.8134 0.6966 3 7 0.8092 0.3065 0.8092 0.3065 Energy with old centers, new clusters = 1.35054 Energy with new centers, new clusters = 1.35054 1 12 0.2175 0.5253 0.2175 0.5253 2 6 0.8134 0.6966 0.8134 0.6966 3 7 0.8092 0.3065 0.8092 0.3065 Energy with old centers, new clusters = 1.35054 Energy with new centers, new clusters = 1.35054 1 12 0.2175 0.5253 0.2175 0.5253 2 6 0.8134 0.6966 0.8134 0.6966 3 7 0.8092 0.3065 0.8092 0.3065 Number of clusters = 4 Initial energy = 8.82144 1 5 0.6458 0.1590 2 6 0.4736 0.4713 3 3 0.0668 0.4187 4 11 0.0497 0.1585 Energy with old centers, new clusters = 2.59217 Energy with new centers, new clusters = 1.64116 1 6 0.6458 0.1590 0.8262 0.2890 2 13 0.4736 0.4713 0.5825 0.6091 3 4 0.0668 0.4187 0.0973 0.6637 4 2 0.0497 0.1585 0.1178 0.1609 Energy with old centers, new clusters = 1.20525 Energy with new centers, new clusters = 0.943770 1 7 0.8262 0.2890 0.8092 0.3065 2 8 0.5825 0.6091 0.7129 0.6396 3 6 0.0973 0.6637 0.1890 0.7413 4 4 0.1178 0.1609 0.1634 0.2299 Energy with old centers, new clusters = 0.811353 Energy with new centers, new clusters = 0.771663 1 7 0.8092 0.3065 0.8092 0.3065 2 7 0.7129 0.6396 0.7628 0.6776 3 6 0.1890 0.7413 0.1890 0.7413 4 5 0.1634 0.2299 0.2035 0.2585 Energy with old centers, new clusters = 0.770885 Energy with new centers, new clusters = 0.738448 1 7 0.8092 0.3065 0.8092 0.3065 2 6 0.7628 0.6776 0.8134 0.6966 3 7 0.1890 0.7413 0.2276 0.7160 4 5 0.2035 0.2585 0.2035 0.2585 Energy with old centers, new clusters = 0.738448 Energy with new centers, new clusters = 0.738448 1 7 0.8092 0.3065 0.8092 0.3065 2 6 0.8134 0.6966 0.8134 0.6966 3 7 0.2276 0.7160 0.2276 0.7160 4 5 0.2035 0.2585 0.2035 0.2585 Energy with old centers, new clusters = 0.738448 Energy with new centers, new clusters = 0.738448 1 7 0.8092 0.3065 0.8092 0.3065 2 6 0.8134 0.6966 0.8134 0.6966 3 7 0.2276 0.7160 0.2276 0.7160 4 5 0.2035 0.2585 0.2035 0.2585 Energy with old centers, new clusters = 0.738448 Energy with new centers, new clusters = 0.738448 1 7 0.8092 0.3065 0.8092 0.3065 2 6 0.8134 0.6966 0.8134 0.6966 3 7 0.2276 0.7160 0.2276 0.7160 4 5 0.2035 0.2585 0.2035 0.2585 Energy with old centers, new clusters = 0.738448 Energy with new centers, new clusters = 0.738448 1 7 0.8092 0.3065 0.8092 0.3065 2 6 0.8134 0.6966 0.8134 0.6966 3 7 0.2276 0.7160 0.2276 0.7160 4 5 0.2035 0.2585 0.2035 0.2585 Energy with old centers, new clusters = 0.738448 Energy with new centers, new clusters = 0.738448 1 7 0.8092 0.3065 0.8092 0.3065 2 6 0.8134 0.6966 0.8134 0.6966 3 7 0.2276 0.7160 0.2276 0.7160 4 5 0.2035 0.2585 0.2035 0.2585 Energy with old centers, new clusters = 0.738448 Energy with new centers, new clusters = 0.738448 1 7 0.8092 0.3065 0.8092 0.3065 2 6 0.8134 0.6966 0.8134 0.6966 3 7 0.2276 0.7160 0.2276 0.7160 4 5 0.2035 0.2585 0.2035 0.2585 Energy with old centers, new clusters = 0.738448 Energy with new centers, new clusters = 0.738448 1 7 0.8092 0.3065 0.8092 0.3065 2 6 0.8134 0.6966 0.8134 0.6966 3 7 0.2276 0.7160 0.2276 0.7160 4 5 0.2035 0.2585 0.2035 0.2585 Energy with old centers, new clusters = 0.738448 Energy with new centers, new clusters = 0.738448 1 7 0.8092 0.3065 0.8092 0.3065 2 6 0.8134 0.6966 0.8134 0.6966 3 7 0.2276 0.7160 0.2276 0.7160 4 5 0.2035 0.2585 0.2035 0.2585 Energy with old centers, new clusters = 0.738448 Energy with new centers, new clusters = 0.738448 1 7 0.8092 0.3065 0.8092 0.3065 2 6 0.8134 0.6966 0.8134 0.6966 3 7 0.2276 0.7160 0.2276 0.7160 4 5 0.2035 0.2585 0.2035 0.2585 Energy with old centers, new clusters = 0.738448 Energy with new centers, new clusters = 0.738448 1 7 0.8092 0.3065 0.8092 0.3065 2 6 0.8134 0.6966 0.8134 0.6966 3 7 0.2276 0.7160 0.2276 0.7160 4 5 0.2035 0.2585 0.2035 0.2585 Energy with old centers, new clusters = 0.738448 Energy with new centers, new clusters = 0.738448 1 7 0.8092 0.3065 0.8092 0.3065 2 6 0.8134 0.6966 0.8134 0.6966 3 7 0.2276 0.7160 0.2276 0.7160 4 5 0.2035 0.2585 0.2035 0.2585 Energy with old centers, new clusters = 0.738448 Energy with new centers, new clusters = 0.738448 1 7 0.8092 0.3065 0.8092 0.3065 2 6 0.8134 0.6966 0.8134 0.6966 3 7 0.2276 0.7160 0.2276 0.7160 4 5 0.2035 0.2585 0.2035 0.2585 Energy with old centers, new clusters = 0.738448 Energy with new centers, new clusters = 0.738448 1 7 0.8092 0.3065 0.8092 0.3065 2 6 0.8134 0.6966 0.8134 0.6966 3 7 0.2276 0.7160 0.2276 0.7160 4 5 0.2035 0.2585 0.2035 0.2585 Energy with old centers, new clusters = 0.738448 Energy with new centers, new clusters = 0.738448 1 7 0.8092 0.3065 0.8092 0.3065 2 6 0.8134 0.6966 0.8134 0.6966 3 7 0.2276 0.7160 0.2276 0.7160 4 5 0.2035 0.2585 0.2035 0.2585 Energy with old centers, new clusters = 0.738448 Energy with new centers, new clusters = 0.738448 1 7 0.8092 0.3065 0.8092 0.3065 2 6 0.8134 0.6966 0.8134 0.6966 3 7 0.2276 0.7160 0.2276 0.7160 4 5 0.2035 0.2585 0.2035 0.2585 Energy with old centers, new clusters = 0.738448 Energy with new centers, new clusters = 0.738448 1 7 0.8092 0.3065 0.8092 0.3065 2 6 0.8134 0.6966 0.8134 0.6966 3 7 0.2276 0.7160 0.2276 0.7160 4 5 0.2035 0.2585 0.2035 0.2585 Number of clusters = 5 Initial energy = 8.67898 1 5 0.7998 0.6610 2 4 0.3037 0.1812 3 4 0.8265 0.0945 4 8 0.4132 0.0241 5 4 0.5579 0.2345 Energy with old centers, new clusters = 2.79695 Number of empty clusters was 1 Energy with new centers, new clusters = 1.47985 1 8 0.7998 0.6610 0.7582 0.6794 2 10 0.3037 0.1812 0.1861 0.4869 3 3 0.8265 0.0945 0.8819 0.2009 4 0 0.4132 0.0241 0.5269 0.9243 5 4 0.5579 0.2345 0.6457 0.4304 Energy with old centers, new clusters = 1.19835 Energy with new centers, new clusters = 1.08841 1 5 0.7582 0.6794 0.8297 0.7330 2 10 0.1861 0.4869 0.1861 0.4869 3 4 0.8819 0.2009 0.8851 0.2469 4 1 0.5269 0.9243 0.2908 0.8707 5 5 0.6457 0.4304 0.6629 0.4472 Energy with old centers, new clusters = 0.836739 Energy with new centers, new clusters = 0.669819 1 4 0.8297 0.7330 0.8782 0.7648 2 8 0.1861 0.4869 0.2163 0.3907 3 4 0.8851 0.2469 0.8851 0.2469 4 3 0.2908 0.8707 0.1404 0.8714 5 6 0.6629 0.4472 0.6584 0.4737 Energy with old centers, new clusters = 0.669819 Energy with new centers, new clusters = 0.669819 1 4 0.8782 0.7648 0.8782 0.7648 2 8 0.2163 0.3907 0.2163 0.3907 3 4 0.8851 0.2469 0.8851 0.2469 4 3 0.1404 0.8714 0.1404 0.8714 5 6 0.6584 0.4737 0.6584 0.4737 Energy with old centers, new clusters = 0.669819 Energy with new centers, new clusters = 0.669819 1 4 0.8782 0.7648 0.8782 0.7648 2 8 0.2163 0.3907 0.2163 0.3907 3 4 0.8851 0.2469 0.8851 0.2469 4 3 0.1404 0.8714 0.1404 0.8714 5 6 0.6584 0.4737 0.6584 0.4737 Energy with old centers, new clusters = 0.669819 Energy with new centers, new clusters = 0.669819 1 4 0.8782 0.7648 0.8782 0.7648 2 8 0.2163 0.3907 0.2163 0.3907 3 4 0.8851 0.2469 0.8851 0.2469 4 3 0.1404 0.8714 0.1404 0.8714 5 6 0.6584 0.4737 0.6584 0.4737 Energy with old centers, new clusters = 0.669819 Energy with new centers, new clusters = 0.669819 1 4 0.8782 0.7648 0.8782 0.7648 2 8 0.2163 0.3907 0.2163 0.3907 3 4 0.8851 0.2469 0.8851 0.2469 4 3 0.1404 0.8714 0.1404 0.8714 5 6 0.6584 0.4737 0.6584 0.4737 Energy with old centers, new clusters = 0.669819 Energy with new centers, new clusters = 0.669819 1 4 0.8782 0.7648 0.8782 0.7648 2 8 0.2163 0.3907 0.2163 0.3907 3 4 0.8851 0.2469 0.8851 0.2469 4 3 0.1404 0.8714 0.1404 0.8714 5 6 0.6584 0.4737 0.6584 0.4737 Energy with old centers, new clusters = 0.669819 Energy with new centers, new clusters = 0.669819 1 4 0.8782 0.7648 0.8782 0.7648 2 8 0.2163 0.3907 0.2163 0.3907 3 4 0.8851 0.2469 0.8851 0.2469 4 3 0.1404 0.8714 0.1404 0.8714 5 6 0.6584 0.4737 0.6584 0.4737 Energy with old centers, new clusters = 0.669819 Energy with new centers, new clusters = 0.669819 1 4 0.8782 0.7648 0.8782 0.7648 2 8 0.2163 0.3907 0.2163 0.3907 3 4 0.8851 0.2469 0.8851 0.2469 4 3 0.1404 0.8714 0.1404 0.8714 5 6 0.6584 0.4737 0.6584 0.4737 Energy with old centers, new clusters = 0.669819 Energy with new centers, new clusters = 0.669819 1 4 0.8782 0.7648 0.8782 0.7648 2 8 0.2163 0.3907 0.2163 0.3907 3 4 0.8851 0.2469 0.8851 0.2469 4 3 0.1404 0.8714 0.1404 0.8714 5 6 0.6584 0.4737 0.6584 0.4737 Energy with old centers, new clusters = 0.669819 Energy with new centers, new clusters = 0.669819 1 4 0.8782 0.7648 0.8782 0.7648 2 8 0.2163 0.3907 0.2163 0.3907 3 4 0.8851 0.2469 0.8851 0.2469 4 3 0.1404 0.8714 0.1404 0.8714 5 6 0.6584 0.4737 0.6584 0.4737 Energy with old centers, new clusters = 0.669819 Energy with new centers, new clusters = 0.669819 1 4 0.8782 0.7648 0.8782 0.7648 2 8 0.2163 0.3907 0.2163 0.3907 3 4 0.8851 0.2469 0.8851 0.2469 4 3 0.1404 0.8714 0.1404 0.8714 5 6 0.6584 0.4737 0.6584 0.4737 Energy with old centers, new clusters = 0.669819 Energy with new centers, new clusters = 0.669819 1 4 0.8782 0.7648 0.8782 0.7648 2 8 0.2163 0.3907 0.2163 0.3907 3 4 0.8851 0.2469 0.8851 0.2469 4 3 0.1404 0.8714 0.1404 0.8714 5 6 0.6584 0.4737 0.6584 0.4737 Energy with old centers, new clusters = 0.669819 Energy with new centers, new clusters = 0.669819 1 4 0.8782 0.7648 0.8782 0.7648 2 8 0.2163 0.3907 0.2163 0.3907 3 4 0.8851 0.2469 0.8851 0.2469 4 3 0.1404 0.8714 0.1404 0.8714 5 6 0.6584 0.4737 0.6584 0.4737 Energy with old centers, new clusters = 0.669819 Energy with new centers, new clusters = 0.669819 1 4 0.8782 0.7648 0.8782 0.7648 2 8 0.2163 0.3907 0.2163 0.3907 3 4 0.8851 0.2469 0.8851 0.2469 4 3 0.1404 0.8714 0.1404 0.8714 5 6 0.6584 0.4737 0.6584 0.4737 Energy with old centers, new clusters = 0.669819 Energy with new centers, new clusters = 0.669819 1 4 0.8782 0.7648 0.8782 0.7648 2 8 0.2163 0.3907 0.2163 0.3907 3 4 0.8851 0.2469 0.8851 0.2469 4 3 0.1404 0.8714 0.1404 0.8714 5 6 0.6584 0.4737 0.6584 0.4737 Energy with old centers, new clusters = 0.669819 Energy with new centers, new clusters = 0.669819 1 4 0.8782 0.7648 0.8782 0.7648 2 8 0.2163 0.3907 0.2163 0.3907 3 4 0.8851 0.2469 0.8851 0.2469 4 3 0.1404 0.8714 0.1404 0.8714 5 6 0.6584 0.4737 0.6584 0.4737 Energy with old centers, new clusters = 0.669819 Energy with new centers, new clusters = 0.669819 1 4 0.8782 0.7648 0.8782 0.7648 2 8 0.2163 0.3907 0.2163 0.3907 3 4 0.8851 0.2469 0.8851 0.2469 4 3 0.1404 0.8714 0.1404 0.8714 5 6 0.6584 0.4737 0.6584 0.4737 Energy with old centers, new clusters = 0.669819 Energy with new centers, new clusters = 0.669819 1 4 0.8782 0.7648 0.8782 0.7648 2 8 0.2163 0.3907 0.2163 0.3907 3 4 0.8851 0.2469 0.8851 0.2469 4 3 0.1404 0.8714 0.1404 0.8714 5 6 0.6584 0.4737 0.6584 0.4737 Number of clusters = 6 Initial energy = 6.72270 1 2 0.5186 0.6667 2 9 0.7325 0.3727 3 3 0.8680 0.4871 4 6 0.2550 0.0800 5 3 0.5049 0.1042 6 2 0.1881 0.4823 Energy with old centers, new clusters = 1.30633 Number of empty clusters was 1 Energy with new centers, new clusters = 0.973796 1 3 0.5186 0.6667 0.4618 0.6802 2 6 0.7325 0.3727 0.7949 0.2934 3 6 0.8680 0.4871 0.8566 0.6597 4 2 0.2550 0.0800 0.2900 0.1496 5 0 0.5049 0.1042 0.8011 0.7876 6 8 0.1881 0.4823 0.1601 0.5713 Energy with old centers, new clusters = 0.843505 Energy with new centers, new clusters = 0.679272 1 3 0.4618 0.6802 0.4618 0.6802 2 7 0.7949 0.2934 0.8092 0.3065 3 3 0.8566 0.6597 0.7764 0.6266 4 4 0.2900 0.1496 0.2369 0.2377 5 2 0.8011 0.7876 0.9578 0.8469 6 6 0.1601 0.5713 0.1522 0.6531 Energy with old centers, new clusters = 0.598769 Energy with new centers, new clusters = 0.547322 1 2 0.4618 0.6802 0.3749 0.7173 2 7 0.8092 0.3065 0.8092 0.3065 3 4 0.7764 0.6266 0.7412 0.6214 4 5 0.2369 0.2377 0.2035 0.2585 5 2 0.9578 0.8469 0.9578 0.8469 6 5 0.1522 0.6531 0.1687 0.7154 Energy with old centers, new clusters = 0.547322 Energy with new centers, new clusters = 0.547322 1 2 0.3749 0.7173 0.3749 0.7173 2 7 0.8092 0.3065 0.8092 0.3065 3 4 0.7412 0.6214 0.7412 0.6214 4 5 0.2035 0.2585 0.2035 0.2585 5 2 0.9578 0.8469 0.9578 0.8469 6 5 0.1687 0.7154 0.1687 0.7154 Energy with old centers, new clusters = 0.547322 Energy with new centers, new clusters = 0.547322 1 2 0.3749 0.7173 0.3749 0.7173 2 7 0.8092 0.3065 0.8092 0.3065 3 4 0.7412 0.6214 0.7412 0.6214 4 5 0.2035 0.2585 0.2035 0.2585 5 2 0.9578 0.8469 0.9578 0.8469 6 5 0.1687 0.7154 0.1687 0.7154 Energy with old centers, new clusters = 0.547322 Energy with new centers, new clusters = 0.547322 1 2 0.3749 0.7173 0.3749 0.7173 2 7 0.8092 0.3065 0.8092 0.3065 3 4 0.7412 0.6214 0.7412 0.6214 4 5 0.2035 0.2585 0.2035 0.2585 5 2 0.9578 0.8469 0.9578 0.8469 6 5 0.1687 0.7154 0.1687 0.7154 Energy with old centers, new clusters = 0.547322 Energy with new centers, new clusters = 0.547322 1 2 0.3749 0.7173 0.3749 0.7173 2 7 0.8092 0.3065 0.8092 0.3065 3 4 0.7412 0.6214 0.7412 0.6214 4 5 0.2035 0.2585 0.2035 0.2585 5 2 0.9578 0.8469 0.9578 0.8469 6 5 0.1687 0.7154 0.1687 0.7154 Energy with old centers, new clusters = 0.547322 Energy with new centers, new clusters = 0.547322 1 2 0.3749 0.7173 0.3749 0.7173 2 7 0.8092 0.3065 0.8092 0.3065 3 4 0.7412 0.6214 0.7412 0.6214 4 5 0.2035 0.2585 0.2035 0.2585 5 2 0.9578 0.8469 0.9578 0.8469 6 5 0.1687 0.7154 0.1687 0.7154 Energy with old centers, new clusters = 0.547322 Energy with new centers, new clusters = 0.547322 1 2 0.3749 0.7173 0.3749 0.7173 2 7 0.8092 0.3065 0.8092 0.3065 3 4 0.7412 0.6214 0.7412 0.6214 4 5 0.2035 0.2585 0.2035 0.2585 5 2 0.9578 0.8469 0.9578 0.8469 6 5 0.1687 0.7154 0.1687 0.7154 Energy with old centers, new clusters = 0.547322 Energy with new centers, new clusters = 0.547322 1 2 0.3749 0.7173 0.3749 0.7173 2 7 0.8092 0.3065 0.8092 0.3065 3 4 0.7412 0.6214 0.7412 0.6214 4 5 0.2035 0.2585 0.2035 0.2585 5 2 0.9578 0.8469 0.9578 0.8469 6 5 0.1687 0.7154 0.1687 0.7154 Energy with old centers, new clusters = 0.547322 Energy with new centers, new clusters = 0.547322 1 2 0.3749 0.7173 0.3749 0.7173 2 7 0.8092 0.3065 0.8092 0.3065 3 4 0.7412 0.6214 0.7412 0.6214 4 5 0.2035 0.2585 0.2035 0.2585 5 2 0.9578 0.8469 0.9578 0.8469 6 5 0.1687 0.7154 0.1687 0.7154 Energy with old centers, new clusters = 0.547322 Energy with new centers, new clusters = 0.547322 1 2 0.3749 0.7173 0.3749 0.7173 2 7 0.8092 0.3065 0.8092 0.3065 3 4 0.7412 0.6214 0.7412 0.6214 4 5 0.2035 0.2585 0.2035 0.2585 5 2 0.9578 0.8469 0.9578 0.8469 6 5 0.1687 0.7154 0.1687 0.7154 Energy with old centers, new clusters = 0.547322 Energy with new centers, new clusters = 0.547322 1 2 0.3749 0.7173 0.3749 0.7173 2 7 0.8092 0.3065 0.8092 0.3065 3 4 0.7412 0.6214 0.7412 0.6214 4 5 0.2035 0.2585 0.2035 0.2585 5 2 0.9578 0.8469 0.9578 0.8469 6 5 0.1687 0.7154 0.1687 0.7154 Energy with old centers, new clusters = 0.547322 Energy with new centers, new clusters = 0.547322 1 2 0.3749 0.7173 0.3749 0.7173 2 7 0.8092 0.3065 0.8092 0.3065 3 4 0.7412 0.6214 0.7412 0.6214 4 5 0.2035 0.2585 0.2035 0.2585 5 2 0.9578 0.8469 0.9578 0.8469 6 5 0.1687 0.7154 0.1687 0.7154 Energy with old centers, new clusters = 0.547322 Energy with new centers, new clusters = 0.547322 1 2 0.3749 0.7173 0.3749 0.7173 2 7 0.8092 0.3065 0.8092 0.3065 3 4 0.7412 0.6214 0.7412 0.6214 4 5 0.2035 0.2585 0.2035 0.2585 5 2 0.9578 0.8469 0.9578 0.8469 6 5 0.1687 0.7154 0.1687 0.7154 Energy with old centers, new clusters = 0.547322 Energy with new centers, new clusters = 0.547322 1 2 0.3749 0.7173 0.3749 0.7173 2 7 0.8092 0.3065 0.8092 0.3065 3 4 0.7412 0.6214 0.7412 0.6214 4 5 0.2035 0.2585 0.2035 0.2585 5 2 0.9578 0.8469 0.9578 0.8469 6 5 0.1687 0.7154 0.1687 0.7154 Energy with old centers, new clusters = 0.547322 Energy with new centers, new clusters = 0.547322 1 2 0.3749 0.7173 0.3749 0.7173 2 7 0.8092 0.3065 0.8092 0.3065 3 4 0.7412 0.6214 0.7412 0.6214 4 5 0.2035 0.2585 0.2035 0.2585 5 2 0.9578 0.8469 0.9578 0.8469 6 5 0.1687 0.7154 0.1687 0.7154 Energy with old centers, new clusters = 0.547322 Energy with new centers, new clusters = 0.547322 1 2 0.3749 0.7173 0.3749 0.7173 2 7 0.8092 0.3065 0.8092 0.3065 3 4 0.7412 0.6214 0.7412 0.6214 4 5 0.2035 0.2585 0.2035 0.2585 5 2 0.9578 0.8469 0.9578 0.8469 6 5 0.1687 0.7154 0.1687 0.7154 Energy with old centers, new clusters = 0.547322 Energy with new centers, new clusters = 0.547322 1 2 0.3749 0.7173 0.3749 0.7173 2 7 0.8092 0.3065 0.8092 0.3065 3 4 0.7412 0.6214 0.7412 0.6214 4 5 0.2035 0.2585 0.2035 0.2585 5 2 0.9578 0.8469 0.9578 0.8469 6 5 0.1687 0.7154 0.1687 0.7154 Energy with old centers, new clusters = 0.547322 Energy with new centers, new clusters = 0.547322 1 2 0.3749 0.7173 0.3749 0.7173 2 7 0.8092 0.3065 0.8092 0.3065 3 4 0.7412 0.6214 0.7412 0.6214 4 5 0.2035 0.2585 0.2035 0.2585 5 2 0.9578 0.8469 0.9578 0.8469 6 5 0.1687 0.7154 0.1687 0.7154 Number of clusters = 7 Initial energy = 6.78851 1 3 0.1925 0.6965 2 6 0.6887 0.3758 3 3 0.0399 0.7280 4 2 0.1410 0.7010 5 4 0.5800 0.3632 6 3 0.5783 0.3470 7 4 0.9310 0.7435 Energy with old centers, new clusters = 1.25449 Energy with new centers, new clusters = 0.468767 1 4 0.1925 0.6965 0.2509 0.6760 2 9 0.6887 0.3758 0.7813 0.3628 3 2 0.0399 0.7280 0.0653 0.8718 4 2 0.1410 0.7010 0.0368 0.3101 5 1 0.5800 0.3632 0.4591 0.5640 6 3 0.5783 0.3470 0.3146 0.2240 7 4 0.9310 0.7435 0.8782 0.7648 Energy with old centers, new clusters = 0.421465 Energy with new centers, new clusters = 0.394962 1 4 0.2509 0.6760 0.2509 0.6760 2 8 0.7813 0.3628 0.7995 0.3325 3 2 0.0653 0.8718 0.0653 0.8718 4 2 0.0368 0.3101 0.0368 0.3101 5 2 0.4591 0.5640 0.5474 0.5849 6 3 0.3146 0.2240 0.3146 0.2240 7 4 0.8782 0.7648 0.8782 0.7648 Energy with old centers, new clusters = 0.394962 Energy with new centers, new clusters = 0.394962 1 4 0.2509 0.6760 0.2509 0.6760 2 8 0.7995 0.3325 0.7995 0.3325 3 2 0.0653 0.8718 0.0653 0.8718 4 2 0.0368 0.3101 0.0368 0.3101 5 2 0.5474 0.5849 0.5474 0.5849 6 3 0.3146 0.2240 0.3146 0.2240 7 4 0.8782 0.7648 0.8782 0.7648 Energy with old centers, new clusters = 0.394962 Energy with new centers, new clusters = 0.394962 1 4 0.2509 0.6760 0.2509 0.6760 2 8 0.7995 0.3325 0.7995 0.3325 3 2 0.0653 0.8718 0.0653 0.8718 4 2 0.0368 0.3101 0.0368 0.3101 5 2 0.5474 0.5849 0.5474 0.5849 6 3 0.3146 0.2240 0.3146 0.2240 7 4 0.8782 0.7648 0.8782 0.7648 Energy with old centers, new clusters = 0.394962 Energy with new centers, new clusters = 0.394962 1 4 0.2509 0.6760 0.2509 0.6760 2 8 0.7995 0.3325 0.7995 0.3325 3 2 0.0653 0.8718 0.0653 0.8718 4 2 0.0368 0.3101 0.0368 0.3101 5 2 0.5474 0.5849 0.5474 0.5849 6 3 0.3146 0.2240 0.3146 0.2240 7 4 0.8782 0.7648 0.8782 0.7648 Energy with old centers, new clusters = 0.394962 Energy with new centers, new clusters = 0.394962 1 4 0.2509 0.6760 0.2509 0.6760 2 8 0.7995 0.3325 0.7995 0.3325 3 2 0.0653 0.8718 0.0653 0.8718 4 2 0.0368 0.3101 0.0368 0.3101 5 2 0.5474 0.5849 0.5474 0.5849 6 3 0.3146 0.2240 0.3146 0.2240 7 4 0.8782 0.7648 0.8782 0.7648 Energy with old centers, new clusters = 0.394962 Energy with new centers, new clusters = 0.394962 1 4 0.2509 0.6760 0.2509 0.6760 2 8 0.7995 0.3325 0.7995 0.3325 3 2 0.0653 0.8718 0.0653 0.8718 4 2 0.0368 0.3101 0.0368 0.3101 5 2 0.5474 0.5849 0.5474 0.5849 6 3 0.3146 0.2240 0.3146 0.2240 7 4 0.8782 0.7648 0.8782 0.7648 Energy with old centers, new clusters = 0.394962 Energy with new centers, new clusters = 0.394962 1 4 0.2509 0.6760 0.2509 0.6760 2 8 0.7995 0.3325 0.7995 0.3325 3 2 0.0653 0.8718 0.0653 0.8718 4 2 0.0368 0.3101 0.0368 0.3101 5 2 0.5474 0.5849 0.5474 0.5849 6 3 0.3146 0.2240 0.3146 0.2240 7 4 0.8782 0.7648 0.8782 0.7648 Energy with old centers, new clusters = 0.394962 Energy with new centers, new clusters = 0.394962 1 4 0.2509 0.6760 0.2509 0.6760 2 8 0.7995 0.3325 0.7995 0.3325 3 2 0.0653 0.8718 0.0653 0.8718 4 2 0.0368 0.3101 0.0368 0.3101 5 2 0.5474 0.5849 0.5474 0.5849 6 3 0.3146 0.2240 0.3146 0.2240 7 4 0.8782 0.7648 0.8782 0.7648 Energy with old centers, new clusters = 0.394962 Energy with new centers, new clusters = 0.394962 1 4 0.2509 0.6760 0.2509 0.6760 2 8 0.7995 0.3325 0.7995 0.3325 3 2 0.0653 0.8718 0.0653 0.8718 4 2 0.0368 0.3101 0.0368 0.3101 5 2 0.5474 0.5849 0.5474 0.5849 6 3 0.3146 0.2240 0.3146 0.2240 7 4 0.8782 0.7648 0.8782 0.7648 Energy with old centers, new clusters = 0.394962 Energy with new centers, new clusters = 0.394962 1 4 0.2509 0.6760 0.2509 0.6760 2 8 0.7995 0.3325 0.7995 0.3325 3 2 0.0653 0.8718 0.0653 0.8718 4 2 0.0368 0.3101 0.0368 0.3101 5 2 0.5474 0.5849 0.5474 0.5849 6 3 0.3146 0.2240 0.3146 0.2240 7 4 0.8782 0.7648 0.8782 0.7648 Energy with old centers, new clusters = 0.394962 Energy with new centers, new clusters = 0.394962 1 4 0.2509 0.6760 0.2509 0.6760 2 8 0.7995 0.3325 0.7995 0.3325 3 2 0.0653 0.8718 0.0653 0.8718 4 2 0.0368 0.3101 0.0368 0.3101 5 2 0.5474 0.5849 0.5474 0.5849 6 3 0.3146 0.2240 0.3146 0.2240 7 4 0.8782 0.7648 0.8782 0.7648 Energy with old centers, new clusters = 0.394962 Energy with new centers, new clusters = 0.394962 1 4 0.2509 0.6760 0.2509 0.6760 2 8 0.7995 0.3325 0.7995 0.3325 3 2 0.0653 0.8718 0.0653 0.8718 4 2 0.0368 0.3101 0.0368 0.3101 5 2 0.5474 0.5849 0.5474 0.5849 6 3 0.3146 0.2240 0.3146 0.2240 7 4 0.8782 0.7648 0.8782 0.7648 Energy with old centers, new clusters = 0.394962 Energy with new centers, new clusters = 0.394962 1 4 0.2509 0.6760 0.2509 0.6760 2 8 0.7995 0.3325 0.7995 0.3325 3 2 0.0653 0.8718 0.0653 0.8718 4 2 0.0368 0.3101 0.0368 0.3101 5 2 0.5474 0.5849 0.5474 0.5849 6 3 0.3146 0.2240 0.3146 0.2240 7 4 0.8782 0.7648 0.8782 0.7648 Energy with old centers, new clusters = 0.394962 Energy with new centers, new clusters = 0.394962 1 4 0.2509 0.6760 0.2509 0.6760 2 8 0.7995 0.3325 0.7995 0.3325 3 2 0.0653 0.8718 0.0653 0.8718 4 2 0.0368 0.3101 0.0368 0.3101 5 2 0.5474 0.5849 0.5474 0.5849 6 3 0.3146 0.2240 0.3146 0.2240 7 4 0.8782 0.7648 0.8782 0.7648 Energy with old centers, new clusters = 0.394962 Energy with new centers, new clusters = 0.394962 1 4 0.2509 0.6760 0.2509 0.6760 2 8 0.7995 0.3325 0.7995 0.3325 3 2 0.0653 0.8718 0.0653 0.8718 4 2 0.0368 0.3101 0.0368 0.3101 5 2 0.5474 0.5849 0.5474 0.5849 6 3 0.3146 0.2240 0.3146 0.2240 7 4 0.8782 0.7648 0.8782 0.7648 Energy with old centers, new clusters = 0.394962 Energy with new centers, new clusters = 0.394962 1 4 0.2509 0.6760 0.2509 0.6760 2 8 0.7995 0.3325 0.7995 0.3325 3 2 0.0653 0.8718 0.0653 0.8718 4 2 0.0368 0.3101 0.0368 0.3101 5 2 0.5474 0.5849 0.5474 0.5849 6 3 0.3146 0.2240 0.3146 0.2240 7 4 0.8782 0.7648 0.8782 0.7648 Energy with old centers, new clusters = 0.394962 Energy with new centers, new clusters = 0.394962 1 4 0.2509 0.6760 0.2509 0.6760 2 8 0.7995 0.3325 0.7995 0.3325 3 2 0.0653 0.8718 0.0653 0.8718 4 2 0.0368 0.3101 0.0368 0.3101 5 2 0.5474 0.5849 0.5474 0.5849 6 3 0.3146 0.2240 0.3146 0.2240 7 4 0.8782 0.7648 0.8782 0.7648 Energy with old centers, new clusters = 0.394962 Energy with new centers, new clusters = 0.394962 1 4 0.2509 0.6760 0.2509 0.6760 2 8 0.7995 0.3325 0.7995 0.3325 3 2 0.0653 0.8718 0.0653 0.8718 4 2 0.0368 0.3101 0.0368 0.3101 5 2 0.5474 0.5849 0.5474 0.5849 6 3 0.3146 0.2240 0.3146 0.2240 7 4 0.8782 0.7648 0.8782 0.7648 Energy with old centers, new clusters = 0.394962 Energy with new centers, new clusters = 0.394962 1 4 0.2509 0.6760 0.2509 0.6760 2 8 0.7995 0.3325 0.7995 0.3325 3 2 0.0653 0.8718 0.0653 0.8718 4 2 0.0368 0.3101 0.0368 0.3101 5 2 0.5474 0.5849 0.5474 0.5849 6 3 0.3146 0.2240 0.3146 0.2240 7 4 0.8782 0.7648 0.8782 0.7648 Number of clusters = 8 Initial energy = 5.70225 1 4 0.9048 0.1488 2 6 0.8022 0.5446 3 1 0.6774 0.5934 4 1 0.9002 0.9712 5 8 0.4348 0.4102 6 1 0.9271 0.1027 7 0 0.5115 0.3845 8 4 0.7789 0.3650 Energy with old centers, new clusters = 1.90468 Number of empty clusters was 2 Energy with new centers, new clusters = 1.12970 1 3 0.9048 0.1488 0.8819 0.2009 2 2 0.8022 0.5446 0.7967 0.6174 3 3 0.6774 0.5934 0.5540 0.7072 4 2 0.9002 0.9712 0.9578 0.8469 5 11 0.4348 0.4102 0.2109 0.4939 6 0 0.9271 0.1027 0.6432 0.5890 7 0 0.5115 0.3845 0.9429 0.8506 8 4 0.7789 0.3650 0.7546 0.3856 Energy with old centers, new clusters = 1.04232 Number of empty clusters was 1 Energy with new centers, new clusters = 0.957820 1 3 0.8819 0.2009 0.8819 0.2009 2 2 0.7967 0.6174 0.7987 0.6827 3 2 0.5540 0.7072 0.3749 0.7173 4 2 0.9578 0.8469 0.9578 0.8469 5 10 0.2109 0.4939 0.1861 0.4869 6 2 0.6432 0.5890 0.6837 0.5601 7 0 0.9429 0.8506 0.4157 0.1448 8 4 0.7546 0.3856 0.7546 0.3856 Energy with old centers, new clusters = 0.640888 Energy with new centers, new clusters = 0.446378 1 3 0.8819 0.2009 0.8819 0.2009 2 2 0.7987 0.6827 0.7987 0.6827 3 6 0.3749 0.7173 0.2340 0.7404 4 2 0.9578 0.8469 0.9578 0.8469 5 4 0.1861 0.4869 0.1566 0.3907 6 2 0.6837 0.5601 0.6837 0.5601 7 2 0.4157 0.1448 0.2900 0.1496 8 4 0.7546 0.3856 0.7546 0.3856 Energy with old centers, new clusters = 0.413319 Energy with new centers, new clusters = 0.373337 1 3 0.8819 0.2009 0.8819 0.2009 2 2 0.7987 0.6827 0.7987 0.6827 3 6 0.2340 0.7404 0.1890 0.7413 4 2 0.9578 0.8469 0.9578 0.8469 5 3 0.1566 0.3907 0.1458 0.3311 6 3 0.6837 0.5601 0.6088 0.5614 7 2 0.2900 0.1496 0.2900 0.1496 8 4 0.7546 0.3856 0.7546 0.3856 Energy with old centers, new clusters = 0.373146 Energy with new centers, new clusters = 0.361068 1 3 0.8819 0.2009 0.8819 0.2009 2 2 0.7987 0.6827 0.7987 0.6827 3 6 0.1890 0.7413 0.1890 0.7413 4 2 0.9578 0.8469 0.9578 0.8469 5 3 0.1458 0.3311 0.1458 0.3311 6 2 0.6088 0.5614 0.5474 0.5849 7 2 0.2900 0.1496 0.2900 0.1496 8 5 0.7546 0.3856 0.7500 0.4114 Energy with old centers, new clusters = 0.361068 Energy with new centers, new clusters = 0.361068 1 3 0.8819 0.2009 0.8819 0.2009 2 2 0.7987 0.6827 0.7987 0.6827 3 6 0.1890 0.7413 0.1890 0.7413 4 2 0.9578 0.8469 0.9578 0.8469 5 3 0.1458 0.3311 0.1458 0.3311 6 2 0.5474 0.5849 0.5474 0.5849 7 2 0.2900 0.1496 0.2900 0.1496 8 5 0.7500 0.4114 0.7500 0.4114 Energy with old centers, new clusters = 0.361068 Energy with new centers, new clusters = 0.361068 1 3 0.8819 0.2009 0.8819 0.2009 2 2 0.7987 0.6827 0.7987 0.6827 3 6 0.1890 0.7413 0.1890 0.7413 4 2 0.9578 0.8469 0.9578 0.8469 5 3 0.1458 0.3311 0.1458 0.3311 6 2 0.5474 0.5849 0.5474 0.5849 7 2 0.2900 0.1496 0.2900 0.1496 8 5 0.7500 0.4114 0.7500 0.4114 Energy with old centers, new clusters = 0.361068 Energy with new centers, new clusters = 0.361068 1 3 0.8819 0.2009 0.8819 0.2009 2 2 0.7987 0.6827 0.7987 0.6827 3 6 0.1890 0.7413 0.1890 0.7413 4 2 0.9578 0.8469 0.9578 0.8469 5 3 0.1458 0.3311 0.1458 0.3311 6 2 0.5474 0.5849 0.5474 0.5849 7 2 0.2900 0.1496 0.2900 0.1496 8 5 0.7500 0.4114 0.7500 0.4114 Energy with old centers, new clusters = 0.361068 Energy with new centers, new clusters = 0.361068 1 3 0.8819 0.2009 0.8819 0.2009 2 2 0.7987 0.6827 0.7987 0.6827 3 6 0.1890 0.7413 0.1890 0.7413 4 2 0.9578 0.8469 0.9578 0.8469 5 3 0.1458 0.3311 0.1458 0.3311 6 2 0.5474 0.5849 0.5474 0.5849 7 2 0.2900 0.1496 0.2900 0.1496 8 5 0.7500 0.4114 0.7500 0.4114 Energy with old centers, new clusters = 0.361068 Energy with new centers, new clusters = 0.361068 1 3 0.8819 0.2009 0.8819 0.2009 2 2 0.7987 0.6827 0.7987 0.6827 3 6 0.1890 0.7413 0.1890 0.7413 4 2 0.9578 0.8469 0.9578 0.8469 5 3 0.1458 0.3311 0.1458 0.3311 6 2 0.5474 0.5849 0.5474 0.5849 7 2 0.2900 0.1496 0.2900 0.1496 8 5 0.7500 0.4114 0.7500 0.4114 Energy with old centers, new clusters = 0.361068 Energy with new centers, new clusters = 0.361068 1 3 0.8819 0.2009 0.8819 0.2009 2 2 0.7987 0.6827 0.7987 0.6827 3 6 0.1890 0.7413 0.1890 0.7413 4 2 0.9578 0.8469 0.9578 0.8469 5 3 0.1458 0.3311 0.1458 0.3311 6 2 0.5474 0.5849 0.5474 0.5849 7 2 0.2900 0.1496 0.2900 0.1496 8 5 0.7500 0.4114 0.7500 0.4114 Energy with old centers, new clusters = 0.361068 Energy with new centers, new clusters = 0.361068 1 3 0.8819 0.2009 0.8819 0.2009 2 2 0.7987 0.6827 0.7987 0.6827 3 6 0.1890 0.7413 0.1890 0.7413 4 2 0.9578 0.8469 0.9578 0.8469 5 3 0.1458 0.3311 0.1458 0.3311 6 2 0.5474 0.5849 0.5474 0.5849 7 2 0.2900 0.1496 0.2900 0.1496 8 5 0.7500 0.4114 0.7500 0.4114 Energy with old centers, new clusters = 0.361068 Energy with new centers, new clusters = 0.361068 1 3 0.8819 0.2009 0.8819 0.2009 2 2 0.7987 0.6827 0.7987 0.6827 3 6 0.1890 0.7413 0.1890 0.7413 4 2 0.9578 0.8469 0.9578 0.8469 5 3 0.1458 0.3311 0.1458 0.3311 6 2 0.5474 0.5849 0.5474 0.5849 7 2 0.2900 0.1496 0.2900 0.1496 8 5 0.7500 0.4114 0.7500 0.4114 Energy with old centers, new clusters = 0.361068 Energy with new centers, new clusters = 0.361068 1 3 0.8819 0.2009 0.8819 0.2009 2 2 0.7987 0.6827 0.7987 0.6827 3 6 0.1890 0.7413 0.1890 0.7413 4 2 0.9578 0.8469 0.9578 0.8469 5 3 0.1458 0.3311 0.1458 0.3311 6 2 0.5474 0.5849 0.5474 0.5849 7 2 0.2900 0.1496 0.2900 0.1496 8 5 0.7500 0.4114 0.7500 0.4114 Energy with old centers, new clusters = 0.361068 Energy with new centers, new clusters = 0.361068 1 3 0.8819 0.2009 0.8819 0.2009 2 2 0.7987 0.6827 0.7987 0.6827 3 6 0.1890 0.7413 0.1890 0.7413 4 2 0.9578 0.8469 0.9578 0.8469 5 3 0.1458 0.3311 0.1458 0.3311 6 2 0.5474 0.5849 0.5474 0.5849 7 2 0.2900 0.1496 0.2900 0.1496 8 5 0.7500 0.4114 0.7500 0.4114 Energy with old centers, new clusters = 0.361068 Energy with new centers, new clusters = 0.361068 1 3 0.8819 0.2009 0.8819 0.2009 2 2 0.7987 0.6827 0.7987 0.6827 3 6 0.1890 0.7413 0.1890 0.7413 4 2 0.9578 0.8469 0.9578 0.8469 5 3 0.1458 0.3311 0.1458 0.3311 6 2 0.5474 0.5849 0.5474 0.5849 7 2 0.2900 0.1496 0.2900 0.1496 8 5 0.7500 0.4114 0.7500 0.4114 Energy with old centers, new clusters = 0.361068 Energy with new centers, new clusters = 0.361068 1 3 0.8819 0.2009 0.8819 0.2009 2 2 0.7987 0.6827 0.7987 0.6827 3 6 0.1890 0.7413 0.1890 0.7413 4 2 0.9578 0.8469 0.9578 0.8469 5 3 0.1458 0.3311 0.1458 0.3311 6 2 0.5474 0.5849 0.5474 0.5849 7 2 0.2900 0.1496 0.2900 0.1496 8 5 0.7500 0.4114 0.7500 0.4114 Energy with old centers, new clusters = 0.361068 Energy with new centers, new clusters = 0.361068 1 3 0.8819 0.2009 0.8819 0.2009 2 2 0.7987 0.6827 0.7987 0.6827 3 6 0.1890 0.7413 0.1890 0.7413 4 2 0.9578 0.8469 0.9578 0.8469 5 3 0.1458 0.3311 0.1458 0.3311 6 2 0.5474 0.5849 0.5474 0.5849 7 2 0.2900 0.1496 0.2900 0.1496 8 5 0.7500 0.4114 0.7500 0.4114 Energy with old centers, new clusters = 0.361068 Energy with new centers, new clusters = 0.361068 1 3 0.8819 0.2009 0.8819 0.2009 2 2 0.7987 0.6827 0.7987 0.6827 3 6 0.1890 0.7413 0.1890 0.7413 4 2 0.9578 0.8469 0.9578 0.8469 5 3 0.1458 0.3311 0.1458 0.3311 6 2 0.5474 0.5849 0.5474 0.5849 7 2 0.2900 0.1496 0.2900 0.1496 8 5 0.7500 0.4114 0.7500 0.4114 Energy with old centers, new clusters = 0.361068 Energy with new centers, new clusters = 0.361068 1 3 0.8819 0.2009 0.8819 0.2009 2 2 0.7987 0.6827 0.7987 0.6827 3 6 0.1890 0.7413 0.1890 0.7413 4 2 0.9578 0.8469 0.9578 0.8469 5 3 0.1458 0.3311 0.1458 0.3311 6 2 0.5474 0.5849 0.5474 0.5849 7 2 0.2900 0.1496 0.2900 0.1496 8 5 0.7500 0.4114 0.7500 0.4114 Number of clusters = 9 Initial energy = 9.21620 1 3 0.6952 0.0303 2 4 0.8166 0.9821 3 2 0.3364 0.3680 4 5 0.7070 0.4663 5 3 0.1314 0.2149 6 1 0.0329 0.8408 7 2 0.2319 0.6619 8 3 0.5801 0.3482 9 2 0.8443 0.9062 Energy with old centers, new clusters = 0.622600 Number of empty clusters was 1 Energy with new centers, new clusters = 0.338106 1 3 0.6952 0.0303 0.8819 0.2009 2 0 0.8166 0.9821 0.3395 0.9169 3 3 0.3364 0.3680 0.3904 0.3976 4 6 0.7070 0.4663 0.7393 0.4915 5 3 0.1314 0.2149 0.1017 0.2212 6 2 0.0329 0.8408 0.0653 0.8718 7 4 0.2319 0.6619 0.2509 0.6760 8 1 0.5801 0.3482 0.6857 0.3587 9 3 0.8443 0.9062 0.9258 0.8047 Energy with old centers, new clusters = 0.289291 Energy with new centers, new clusters = 0.226866 1 4 0.8819 0.2009 0.8851 0.2469 2 1 0.3395 0.9169 0.2908 0.8707 3 3 0.3904 0.3976 0.3904 0.3976 4 3 0.7393 0.4915 0.7010 0.5884 5 3 0.1017 0.2212 0.1017 0.2212 6 2 0.0653 0.8718 0.0653 0.8718 7 3 0.2509 0.6760 0.2376 0.6111 8 3 0.6857 0.3587 0.7079 0.3859 9 3 0.9258 0.8047 0.9258 0.8047 Energy with old centers, new clusters = 0.226866 Energy with new centers, new clusters = 0.226866 1 4 0.8851 0.2469 0.8851 0.2469 2 1 0.2908 0.8707 0.2908 0.8707 3 3 0.3904 0.3976 0.3904 0.3976 4 3 0.7010 0.5884 0.7010 0.5884 5 3 0.1017 0.2212 0.1017 0.2212 6 2 0.0653 0.8718 0.0653 0.8718 7 3 0.2376 0.6111 0.2376 0.6111 8 3 0.7079 0.3859 0.7079 0.3859 9 3 0.9258 0.8047 0.9258 0.8047 Energy with old centers, new clusters = 0.226866 Energy with new centers, new clusters = 0.226866 1 4 0.8851 0.2469 0.8851 0.2469 2 1 0.2908 0.8707 0.2908 0.8707 3 3 0.3904 0.3976 0.3904 0.3976 4 3 0.7010 0.5884 0.7010 0.5884 5 3 0.1017 0.2212 0.1017 0.2212 6 2 0.0653 0.8718 0.0653 0.8718 7 3 0.2376 0.6111 0.2376 0.6111 8 3 0.7079 0.3859 0.7079 0.3859 9 3 0.9258 0.8047 0.9258 0.8047 Energy with old centers, new clusters = 0.226866 Energy with new centers, new clusters = 0.226866 1 4 0.8851 0.2469 0.8851 0.2469 2 1 0.2908 0.8707 0.2908 0.8707 3 3 0.3904 0.3976 0.3904 0.3976 4 3 0.7010 0.5884 0.7010 0.5884 5 3 0.1017 0.2212 0.1017 0.2212 6 2 0.0653 0.8718 0.0653 0.8718 7 3 0.2376 0.6111 0.2376 0.6111 8 3 0.7079 0.3859 0.7079 0.3859 9 3 0.9258 0.8047 0.9258 0.8047 Energy with old centers, new clusters = 0.226866 Energy with new centers, new clusters = 0.226866 1 4 0.8851 0.2469 0.8851 0.2469 2 1 0.2908 0.8707 0.2908 0.8707 3 3 0.3904 0.3976 0.3904 0.3976 4 3 0.7010 0.5884 0.7010 0.5884 5 3 0.1017 0.2212 0.1017 0.2212 6 2 0.0653 0.8718 0.0653 0.8718 7 3 0.2376 0.6111 0.2376 0.6111 8 3 0.7079 0.3859 0.7079 0.3859 9 3 0.9258 0.8047 0.9258 0.8047 Energy with old centers, new clusters = 0.226866 Energy with new centers, new clusters = 0.226866 1 4 0.8851 0.2469 0.8851 0.2469 2 1 0.2908 0.8707 0.2908 0.8707 3 3 0.3904 0.3976 0.3904 0.3976 4 3 0.7010 0.5884 0.7010 0.5884 5 3 0.1017 0.2212 0.1017 0.2212 6 2 0.0653 0.8718 0.0653 0.8718 7 3 0.2376 0.6111 0.2376 0.6111 8 3 0.7079 0.3859 0.7079 0.3859 9 3 0.9258 0.8047 0.9258 0.8047 Energy with old centers, new clusters = 0.226866 Energy with new centers, new clusters = 0.226866 1 4 0.8851 0.2469 0.8851 0.2469 2 1 0.2908 0.8707 0.2908 0.8707 3 3 0.3904 0.3976 0.3904 0.3976 4 3 0.7010 0.5884 0.7010 0.5884 5 3 0.1017 0.2212 0.1017 0.2212 6 2 0.0653 0.8718 0.0653 0.8718 7 3 0.2376 0.6111 0.2376 0.6111 8 3 0.7079 0.3859 0.7079 0.3859 9 3 0.9258 0.8047 0.9258 0.8047 Energy with old centers, new clusters = 0.226866 Energy with new centers, new clusters = 0.226866 1 4 0.8851 0.2469 0.8851 0.2469 2 1 0.2908 0.8707 0.2908 0.8707 3 3 0.3904 0.3976 0.3904 0.3976 4 3 0.7010 0.5884 0.7010 0.5884 5 3 0.1017 0.2212 0.1017 0.2212 6 2 0.0653 0.8718 0.0653 0.8718 7 3 0.2376 0.6111 0.2376 0.6111 8 3 0.7079 0.3859 0.7079 0.3859 9 3 0.9258 0.8047 0.9258 0.8047 Energy with old centers, new clusters = 0.226866 Energy with new centers, new clusters = 0.226866 1 4 0.8851 0.2469 0.8851 0.2469 2 1 0.2908 0.8707 0.2908 0.8707 3 3 0.3904 0.3976 0.3904 0.3976 4 3 0.7010 0.5884 0.7010 0.5884 5 3 0.1017 0.2212 0.1017 0.2212 6 2 0.0653 0.8718 0.0653 0.8718 7 3 0.2376 0.6111 0.2376 0.6111 8 3 0.7079 0.3859 0.7079 0.3859 9 3 0.9258 0.8047 0.9258 0.8047 Energy with old centers, new clusters = 0.226866 Energy with new centers, new clusters = 0.226866 1 4 0.8851 0.2469 0.8851 0.2469 2 1 0.2908 0.8707 0.2908 0.8707 3 3 0.3904 0.3976 0.3904 0.3976 4 3 0.7010 0.5884 0.7010 0.5884 5 3 0.1017 0.2212 0.1017 0.2212 6 2 0.0653 0.8718 0.0653 0.8718 7 3 0.2376 0.6111 0.2376 0.6111 8 3 0.7079 0.3859 0.7079 0.3859 9 3 0.9258 0.8047 0.9258 0.8047 Energy with old centers, new clusters = 0.226866 Energy with new centers, new clusters = 0.226866 1 4 0.8851 0.2469 0.8851 0.2469 2 1 0.2908 0.8707 0.2908 0.8707 3 3 0.3904 0.3976 0.3904 0.3976 4 3 0.7010 0.5884 0.7010 0.5884 5 3 0.1017 0.2212 0.1017 0.2212 6 2 0.0653 0.8718 0.0653 0.8718 7 3 0.2376 0.6111 0.2376 0.6111 8 3 0.7079 0.3859 0.7079 0.3859 9 3 0.9258 0.8047 0.9258 0.8047 Energy with old centers, new clusters = 0.226866 Energy with new centers, new clusters = 0.226866 1 4 0.8851 0.2469 0.8851 0.2469 2 1 0.2908 0.8707 0.2908 0.8707 3 3 0.3904 0.3976 0.3904 0.3976 4 3 0.7010 0.5884 0.7010 0.5884 5 3 0.1017 0.2212 0.1017 0.2212 6 2 0.0653 0.8718 0.0653 0.8718 7 3 0.2376 0.6111 0.2376 0.6111 8 3 0.7079 0.3859 0.7079 0.3859 9 3 0.9258 0.8047 0.9258 0.8047 Energy with old centers, new clusters = 0.226866 Energy with new centers, new clusters = 0.226866 1 4 0.8851 0.2469 0.8851 0.2469 2 1 0.2908 0.8707 0.2908 0.8707 3 3 0.3904 0.3976 0.3904 0.3976 4 3 0.7010 0.5884 0.7010 0.5884 5 3 0.1017 0.2212 0.1017 0.2212 6 2 0.0653 0.8718 0.0653 0.8718 7 3 0.2376 0.6111 0.2376 0.6111 8 3 0.7079 0.3859 0.7079 0.3859 9 3 0.9258 0.8047 0.9258 0.8047 Energy with old centers, new clusters = 0.226866 Energy with new centers, new clusters = 0.226866 1 4 0.8851 0.2469 0.8851 0.2469 2 1 0.2908 0.8707 0.2908 0.8707 3 3 0.3904 0.3976 0.3904 0.3976 4 3 0.7010 0.5884 0.7010 0.5884 5 3 0.1017 0.2212 0.1017 0.2212 6 2 0.0653 0.8718 0.0653 0.8718 7 3 0.2376 0.6111 0.2376 0.6111 8 3 0.7079 0.3859 0.7079 0.3859 9 3 0.9258 0.8047 0.9258 0.8047 Energy with old centers, new clusters = 0.226866 Energy with new centers, new clusters = 0.226866 1 4 0.8851 0.2469 0.8851 0.2469 2 1 0.2908 0.8707 0.2908 0.8707 3 3 0.3904 0.3976 0.3904 0.3976 4 3 0.7010 0.5884 0.7010 0.5884 5 3 0.1017 0.2212 0.1017 0.2212 6 2 0.0653 0.8718 0.0653 0.8718 7 3 0.2376 0.6111 0.2376 0.6111 8 3 0.7079 0.3859 0.7079 0.3859 9 3 0.9258 0.8047 0.9258 0.8047 Energy with old centers, new clusters = 0.226866 Energy with new centers, new clusters = 0.226866 1 4 0.8851 0.2469 0.8851 0.2469 2 1 0.2908 0.8707 0.2908 0.8707 3 3 0.3904 0.3976 0.3904 0.3976 4 3 0.7010 0.5884 0.7010 0.5884 5 3 0.1017 0.2212 0.1017 0.2212 6 2 0.0653 0.8718 0.0653 0.8718 7 3 0.2376 0.6111 0.2376 0.6111 8 3 0.7079 0.3859 0.7079 0.3859 9 3 0.9258 0.8047 0.9258 0.8047 Energy with old centers, new clusters = 0.226866 Energy with new centers, new clusters = 0.226866 1 4 0.8851 0.2469 0.8851 0.2469 2 1 0.2908 0.8707 0.2908 0.8707 3 3 0.3904 0.3976 0.3904 0.3976 4 3 0.7010 0.5884 0.7010 0.5884 5 3 0.1017 0.2212 0.1017 0.2212 6 2 0.0653 0.8718 0.0653 0.8718 7 3 0.2376 0.6111 0.2376 0.6111 8 3 0.7079 0.3859 0.7079 0.3859 9 3 0.9258 0.8047 0.9258 0.8047 Energy with old centers, new clusters = 0.226866 Energy with new centers, new clusters = 0.226866 1 4 0.8851 0.2469 0.8851 0.2469 2 1 0.2908 0.8707 0.2908 0.8707 3 3 0.3904 0.3976 0.3904 0.3976 4 3 0.7010 0.5884 0.7010 0.5884 5 3 0.1017 0.2212 0.1017 0.2212 6 2 0.0653 0.8718 0.0653 0.8718 7 3 0.2376 0.6111 0.2376 0.6111 8 3 0.7079 0.3859 0.7079 0.3859 9 3 0.9258 0.8047 0.9258 0.8047 Energy with old centers, new clusters = 0.226866 Energy with new centers, new clusters = 0.226866 1 4 0.8851 0.2469 0.8851 0.2469 2 1 0.2908 0.8707 0.2908 0.8707 3 3 0.3904 0.3976 0.3904 0.3976 4 3 0.7010 0.5884 0.7010 0.5884 5 3 0.1017 0.2212 0.1017 0.2212 6 2 0.0653 0.8718 0.0653 0.8718 7 3 0.2376 0.6111 0.2376 0.6111 8 3 0.7079 0.3859 0.7079 0.3859 9 3 0.9258 0.8047 0.9258 0.8047 Number of clusters = 10 Initial energy = 10.3774 1 1 0.4845 0.6157 2 1 0.2388 0.2567 3 5 0.3885 0.1825 4 1 0.2821 0.9443 5 2 0.6194 0.7357 6 3 0.5581 0.2292 7 2 0.9739 0.0984 8 3 0.8172 0.2890 9 2 0.0343 0.0752 10 5 0.9024 0.9657 Energy with old centers, new clusters = 0.764625 Number of empty clusters was 1 Energy with new centers, new clusters = 0.335877 1 4 0.4845 0.6157 0.2930 0.5993 2 2 0.2388 0.2567 0.2167 0.3573 3 1 0.3885 0.1825 0.3485 0.2559 4 3 0.2821 0.9443 0.1404 0.8714 5 3 0.6194 0.7357 0.7443 0.6571 6 0 0.5581 0.2292 0.1102 0.8940 7 1 0.9739 0.0984 0.9238 0.1434 8 7 0.8172 0.2890 0.7817 0.3595 9 2 0.0343 0.0752 0.1178 0.1609 10 2 0.9024 0.9657 0.9578 0.8469 Energy with old centers, new clusters = 0.287342 Energy with new centers, new clusters = 0.220136 1 4 0.2930 0.5993 0.2930 0.5993 2 1 0.2167 0.3573 0.0696 0.3417 3 2 0.3485 0.2559 0.3561 0.3144 4 1 0.1404 0.8714 0.2908 0.8707 5 4 0.7443 0.6571 0.7412 0.6214 6 2 0.1102 0.8940 0.0653 0.8718 7 2 0.9238 0.1434 0.9228 0.1874 8 5 0.7817 0.3595 0.7637 0.3541 9 2 0.1178 0.1609 0.1178 0.1609 10 2 0.9578 0.8469 0.9578 0.8469 Energy with old centers, new clusters = 0.201167 Energy with new centers, new clusters = 0.160381 1 4 0.2930 0.5993 0.2930 0.5993 2 2 0.0696 0.3417 0.0368 0.3101 3 2 0.3561 0.3144 0.3561 0.3144 4 1 0.2908 0.8707 0.2908 0.8707 5 4 0.7412 0.6214 0.7412 0.6214 6 2 0.0653 0.8718 0.0653 0.8718 7 3 0.9228 0.1874 0.8819 0.2009 8 4 0.7637 0.3541 0.7546 0.3856 9 1 0.1178 0.1609 0.2315 0.0433 10 2 0.9578 0.8469 0.9578 0.8469 Energy with old centers, new clusters = 0.160381 Energy with new centers, new clusters = 0.160381 1 4 0.2930 0.5993 0.2930 0.5993 2 2 0.0368 0.3101 0.0368 0.3101 3 2 0.3561 0.3144 0.3561 0.3144 4 1 0.2908 0.8707 0.2908 0.8707 5 4 0.7412 0.6214 0.7412 0.6214 6 2 0.0653 0.8718 0.0653 0.8718 7 3 0.8819 0.2009 0.8819 0.2009 8 4 0.7546 0.3856 0.7546 0.3856 9 1 0.2315 0.0433 0.2315 0.0433 10 2 0.9578 0.8469 0.9578 0.8469 Energy with old centers, new clusters = 0.160381 Energy with new centers, new clusters = 0.160381 1 4 0.2930 0.5993 0.2930 0.5993 2 2 0.0368 0.3101 0.0368 0.3101 3 2 0.3561 0.3144 0.3561 0.3144 4 1 0.2908 0.8707 0.2908 0.8707 5 4 0.7412 0.6214 0.7412 0.6214 6 2 0.0653 0.8718 0.0653 0.8718 7 3 0.8819 0.2009 0.8819 0.2009 8 4 0.7546 0.3856 0.7546 0.3856 9 1 0.2315 0.0433 0.2315 0.0433 10 2 0.9578 0.8469 0.9578 0.8469 Energy with old centers, new clusters = 0.160381 Energy with new centers, new clusters = 0.160381 1 4 0.2930 0.5993 0.2930 0.5993 2 2 0.0368 0.3101 0.0368 0.3101 3 2 0.3561 0.3144 0.3561 0.3144 4 1 0.2908 0.8707 0.2908 0.8707 5 4 0.7412 0.6214 0.7412 0.6214 6 2 0.0653 0.8718 0.0653 0.8718 7 3 0.8819 0.2009 0.8819 0.2009 8 4 0.7546 0.3856 0.7546 0.3856 9 1 0.2315 0.0433 0.2315 0.0433 10 2 0.9578 0.8469 0.9578 0.8469 Energy with old centers, new clusters = 0.160381 Energy with new centers, new clusters = 0.160381 1 4 0.2930 0.5993 0.2930 0.5993 2 2 0.0368 0.3101 0.0368 0.3101 3 2 0.3561 0.3144 0.3561 0.3144 4 1 0.2908 0.8707 0.2908 0.8707 5 4 0.7412 0.6214 0.7412 0.6214 6 2 0.0653 0.8718 0.0653 0.8718 7 3 0.8819 0.2009 0.8819 0.2009 8 4 0.7546 0.3856 0.7546 0.3856 9 1 0.2315 0.0433 0.2315 0.0433 10 2 0.9578 0.8469 0.9578 0.8469 Energy with old centers, new clusters = 0.160381 Energy with new centers, new clusters = 0.160381 1 4 0.2930 0.5993 0.2930 0.5993 2 2 0.0368 0.3101 0.0368 0.3101 3 2 0.3561 0.3144 0.3561 0.3144 4 1 0.2908 0.8707 0.2908 0.8707 5 4 0.7412 0.6214 0.7412 0.6214 6 2 0.0653 0.8718 0.0653 0.8718 7 3 0.8819 0.2009 0.8819 0.2009 8 4 0.7546 0.3856 0.7546 0.3856 9 1 0.2315 0.0433 0.2315 0.0433 10 2 0.9578 0.8469 0.9578 0.8469 Energy with old centers, new clusters = 0.160381 Energy with new centers, new clusters = 0.160381 1 4 0.2930 0.5993 0.2930 0.5993 2 2 0.0368 0.3101 0.0368 0.3101 3 2 0.3561 0.3144 0.3561 0.3144 4 1 0.2908 0.8707 0.2908 0.8707 5 4 0.7412 0.6214 0.7412 0.6214 6 2 0.0653 0.8718 0.0653 0.8718 7 3 0.8819 0.2009 0.8819 0.2009 8 4 0.7546 0.3856 0.7546 0.3856 9 1 0.2315 0.0433 0.2315 0.0433 10 2 0.9578 0.8469 0.9578 0.8469 Energy with old centers, new clusters = 0.160381 Energy with new centers, new clusters = 0.160381 1 4 0.2930 0.5993 0.2930 0.5993 2 2 0.0368 0.3101 0.0368 0.3101 3 2 0.3561 0.3144 0.3561 0.3144 4 1 0.2908 0.8707 0.2908 0.8707 5 4 0.7412 0.6214 0.7412 0.6214 6 2 0.0653 0.8718 0.0653 0.8718 7 3 0.8819 0.2009 0.8819 0.2009 8 4 0.7546 0.3856 0.7546 0.3856 9 1 0.2315 0.0433 0.2315 0.0433 10 2 0.9578 0.8469 0.9578 0.8469 Energy with old centers, new clusters = 0.160381 Energy with new centers, new clusters = 0.160381 1 4 0.2930 0.5993 0.2930 0.5993 2 2 0.0368 0.3101 0.0368 0.3101 3 2 0.3561 0.3144 0.3561 0.3144 4 1 0.2908 0.8707 0.2908 0.8707 5 4 0.7412 0.6214 0.7412 0.6214 6 2 0.0653 0.8718 0.0653 0.8718 7 3 0.8819 0.2009 0.8819 0.2009 8 4 0.7546 0.3856 0.7546 0.3856 9 1 0.2315 0.0433 0.2315 0.0433 10 2 0.9578 0.8469 0.9578 0.8469 Energy with old centers, new clusters = 0.160381 Energy with new centers, new clusters = 0.160381 1 4 0.2930 0.5993 0.2930 0.5993 2 2 0.0368 0.3101 0.0368 0.3101 3 2 0.3561 0.3144 0.3561 0.3144 4 1 0.2908 0.8707 0.2908 0.8707 5 4 0.7412 0.6214 0.7412 0.6214 6 2 0.0653 0.8718 0.0653 0.8718 7 3 0.8819 0.2009 0.8819 0.2009 8 4 0.7546 0.3856 0.7546 0.3856 9 1 0.2315 0.0433 0.2315 0.0433 10 2 0.9578 0.8469 0.9578 0.8469 Energy with old centers, new clusters = 0.160381 Energy with new centers, new clusters = 0.160381 1 4 0.2930 0.5993 0.2930 0.5993 2 2 0.0368 0.3101 0.0368 0.3101 3 2 0.3561 0.3144 0.3561 0.3144 4 1 0.2908 0.8707 0.2908 0.8707 5 4 0.7412 0.6214 0.7412 0.6214 6 2 0.0653 0.8718 0.0653 0.8718 7 3 0.8819 0.2009 0.8819 0.2009 8 4 0.7546 0.3856 0.7546 0.3856 9 1 0.2315 0.0433 0.2315 0.0433 10 2 0.9578 0.8469 0.9578 0.8469 Energy with old centers, new clusters = 0.160381 Energy with new centers, new clusters = 0.160381 1 4 0.2930 0.5993 0.2930 0.5993 2 2 0.0368 0.3101 0.0368 0.3101 3 2 0.3561 0.3144 0.3561 0.3144 4 1 0.2908 0.8707 0.2908 0.8707 5 4 0.7412 0.6214 0.7412 0.6214 6 2 0.0653 0.8718 0.0653 0.8718 7 3 0.8819 0.2009 0.8819 0.2009 8 4 0.7546 0.3856 0.7546 0.3856 9 1 0.2315 0.0433 0.2315 0.0433 10 2 0.9578 0.8469 0.9578 0.8469 Energy with old centers, new clusters = 0.160381 Energy with new centers, new clusters = 0.160381 1 4 0.2930 0.5993 0.2930 0.5993 2 2 0.0368 0.3101 0.0368 0.3101 3 2 0.3561 0.3144 0.3561 0.3144 4 1 0.2908 0.8707 0.2908 0.8707 5 4 0.7412 0.6214 0.7412 0.6214 6 2 0.0653 0.8718 0.0653 0.8718 7 3 0.8819 0.2009 0.8819 0.2009 8 4 0.7546 0.3856 0.7546 0.3856 9 1 0.2315 0.0433 0.2315 0.0433 10 2 0.9578 0.8469 0.9578 0.8469 Energy with old centers, new clusters = 0.160381 Energy with new centers, new clusters = 0.160381 1 4 0.2930 0.5993 0.2930 0.5993 2 2 0.0368 0.3101 0.0368 0.3101 3 2 0.3561 0.3144 0.3561 0.3144 4 1 0.2908 0.8707 0.2908 0.8707 5 4 0.7412 0.6214 0.7412 0.6214 6 2 0.0653 0.8718 0.0653 0.8718 7 3 0.8819 0.2009 0.8819 0.2009 8 4 0.7546 0.3856 0.7546 0.3856 9 1 0.2315 0.0433 0.2315 0.0433 10 2 0.9578 0.8469 0.9578 0.8469 Energy with old centers, new clusters = 0.160381 Energy with new centers, new clusters = 0.160381 1 4 0.2930 0.5993 0.2930 0.5993 2 2 0.0368 0.3101 0.0368 0.3101 3 2 0.3561 0.3144 0.3561 0.3144 4 1 0.2908 0.8707 0.2908 0.8707 5 4 0.7412 0.6214 0.7412 0.6214 6 2 0.0653 0.8718 0.0653 0.8718 7 3 0.8819 0.2009 0.8819 0.2009 8 4 0.7546 0.3856 0.7546 0.3856 9 1 0.2315 0.0433 0.2315 0.0433 10 2 0.9578 0.8469 0.9578 0.8469 Energy with old centers, new clusters = 0.160381 Energy with new centers, new clusters = 0.160381 1 4 0.2930 0.5993 0.2930 0.5993 2 2 0.0368 0.3101 0.0368 0.3101 3 2 0.3561 0.3144 0.3561 0.3144 4 1 0.2908 0.8707 0.2908 0.8707 5 4 0.7412 0.6214 0.7412 0.6214 6 2 0.0653 0.8718 0.0653 0.8718 7 3 0.8819 0.2009 0.8819 0.2009 8 4 0.7546 0.3856 0.7546 0.3856 9 1 0.2315 0.0433 0.2315 0.0433 10 2 0.9578 0.8469 0.9578 0.8469 Energy with old centers, new clusters = 0.160381 Energy with new centers, new clusters = 0.160381 1 4 0.2930 0.5993 0.2930 0.5993 2 2 0.0368 0.3101 0.0368 0.3101 3 2 0.3561 0.3144 0.3561 0.3144 4 1 0.2908 0.8707 0.2908 0.8707 5 4 0.7412 0.6214 0.7412 0.6214 6 2 0.0653 0.8718 0.0653 0.8718 7 3 0.8819 0.2009 0.8819 0.2009 8 4 0.7546 0.3856 0.7546 0.3856 9 1 0.2315 0.0433 0.2315 0.0433 10 2 0.9578 0.8469 0.9578 0.8469 Energy with old centers, new clusters = 0.160381 Energy with new centers, new clusters = 0.160381 1 4 0.2930 0.5993 0.2930 0.5993 2 2 0.0368 0.3101 0.0368 0.3101 3 2 0.3561 0.3144 0.3561 0.3144 4 1 0.2908 0.8707 0.2908 0.8707 5 4 0.7412 0.6214 0.7412 0.6214 6 2 0.0653 0.8718 0.0653 0.8718 7 3 0.8819 0.2009 0.8819 0.2009 8 4 0.7546 0.3856 0.7546 0.3856 9 1 0.2315 0.0433 0.2315 0.0433 10 2 0.9578 0.8469 0.9578 0.8469 Energy table: Number Total Energy Square of Energy per Root Clusters point 1 4.05017 0.162007 0.402501 2 2.90190 0.116076 0.340699 3 1.35054 0.540216E-01 0.232425 4 0.738448 0.295379E-01 0.171866 5 0.669819 0.267927E-01 0.163685 6 0.547322 0.218929E-01 0.147962 7 0.394962 0.157985E-01 0.125692 8 0.361068 0.144427E-01 0.120178 9 0.226866 0.907466E-02 0.952610E-01 10 0.160381 0.641525E-02 0.800953E-01 CLUSTER_ENERGY Normal end of execution. May 9 2025 8:57:34.811 PM