November 29 2022 1:22:39.112 PM CLUSTER_ENERGY FORTRAN90 version Compute the cluster energy of a set of points. RANDOM_INITIALIZE Initialize RANDOM_NUMBER with user SEED = 123456789 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 = 6.80940 1 25 0.8253 0.2727 Energy with old centers, new clusters = 6.80940 Energy with new centers, new clusters = 3.64644 1 25 0.8253 0.2727 0.5577 0.5071 Energy with old centers, new clusters = 3.64644 Energy with new centers, new clusters = 3.64644 1 25 0.5577 0.5071 0.5577 0.5071 Energy with old centers, new clusters = 3.64644 Energy with new centers, new clusters = 3.64644 1 25 0.5577 0.5071 0.5577 0.5071 Energy with old centers, new clusters = 3.64644 Energy with new centers, new clusters = 3.64644 1 25 0.5577 0.5071 0.5577 0.5071 Energy with old centers, new clusters = 3.64644 Energy with new centers, new clusters = 3.64644 1 25 0.5577 0.5071 0.5577 0.5071 Energy with old centers, new clusters = 3.64644 Energy with new centers, new clusters = 3.64644 1 25 0.5577 0.5071 0.5577 0.5071 Energy with old centers, new clusters = 3.64644 Energy with new centers, new clusters = 3.64644 1 25 0.5577 0.5071 0.5577 0.5071 Energy with old centers, new clusters = 3.64644 Energy with new centers, new clusters = 3.64644 1 25 0.5577 0.5071 0.5577 0.5071 Energy with old centers, new clusters = 3.64644 Energy with new centers, new clusters = 3.64644 1 25 0.5577 0.5071 0.5577 0.5071 Energy with old centers, new clusters = 3.64644 Energy with new centers, new clusters = 3.64644 1 25 0.5577 0.5071 0.5577 0.5071 Energy with old centers, new clusters = 3.64644 Energy with new centers, new clusters = 3.64644 1 25 0.5577 0.5071 0.5577 0.5071 Energy with old centers, new clusters = 3.64644 Energy with new centers, new clusters = 3.64644 1 25 0.5577 0.5071 0.5577 0.5071 Energy with old centers, new clusters = 3.64644 Energy with new centers, new clusters = 3.64644 1 25 0.5577 0.5071 0.5577 0.5071 Energy with old centers, new clusters = 3.64644 Energy with new centers, new clusters = 3.64644 1 25 0.5577 0.5071 0.5577 0.5071 Energy with old centers, new clusters = 3.64644 Energy with new centers, new clusters = 3.64644 1 25 0.5577 0.5071 0.5577 0.5071 Energy with old centers, new clusters = 3.64644 Energy with new centers, new clusters = 3.64644 1 25 0.5577 0.5071 0.5577 0.5071 Energy with old centers, new clusters = 3.64644 Energy with new centers, new clusters = 3.64644 1 25 0.5577 0.5071 0.5577 0.5071 Energy with old centers, new clusters = 3.64644 Energy with new centers, new clusters = 3.64644 1 25 0.5577 0.5071 0.5577 0.5071 Energy with old centers, new clusters = 3.64644 Energy with new centers, new clusters = 3.64644 1 25 0.5577 0.5071 0.5577 0.5071 Energy with old centers, new clusters = 3.64644 Energy with new centers, new clusters = 3.64644 1 25 0.5577 0.5071 0.5577 0.5071 Number of clusters = 2 Initial energy = 3.81369 1 12 0.4496 0.2597 2 13 0.7149 0.5695 Energy with old centers, new clusters = 2.61128 Energy with new centers, new clusters = 2.24577 1 12 0.4496 0.2597 0.4667 0.2781 2 13 0.7149 0.5695 0.6417 0.7184 Energy with old centers, new clusters = 2.09109 Energy with new centers, new clusters = 1.94051 1 12 0.4667 0.2781 0.5357 0.2361 2 13 0.6417 0.7184 0.5781 0.7572 Energy with old centers, new clusters = 1.89774 Energy with new centers, new clusters = 1.87181 1 11 0.5357 0.2361 0.5602 0.2065 2 14 0.5781 0.7572 0.5558 0.7432 Energy with old centers, new clusters = 1.87181 Energy with new centers, new clusters = 1.87181 1 11 0.5602 0.2065 0.5602 0.2065 2 14 0.5558 0.7432 0.5558 0.7432 Energy with old centers, new clusters = 1.87181 Energy with new centers, new clusters = 1.87181 1 11 0.5602 0.2065 0.5602 0.2065 2 14 0.5558 0.7432 0.5558 0.7432 Energy with old centers, new clusters = 1.87181 Energy with new centers, new clusters = 1.87181 1 11 0.5602 0.2065 0.5602 0.2065 2 14 0.5558 0.7432 0.5558 0.7432 Energy with old centers, new clusters = 1.87181 Energy with new centers, new clusters = 1.87181 1 11 0.5602 0.2065 0.5602 0.2065 2 14 0.5558 0.7432 0.5558 0.7432 Energy with old centers, new clusters = 1.87181 Energy with new centers, new clusters = 1.87181 1 11 0.5602 0.2065 0.5602 0.2065 2 14 0.5558 0.7432 0.5558 0.7432 Energy with old centers, new clusters = 1.87181 Energy with new centers, new clusters = 1.87181 1 11 0.5602 0.2065 0.5602 0.2065 2 14 0.5558 0.7432 0.5558 0.7432 Energy with old centers, new clusters = 1.87181 Energy with new centers, new clusters = 1.87181 1 11 0.5602 0.2065 0.5602 0.2065 2 14 0.5558 0.7432 0.5558 0.7432 Energy with old centers, new clusters = 1.87181 Energy with new centers, new clusters = 1.87181 1 11 0.5602 0.2065 0.5602 0.2065 2 14 0.5558 0.7432 0.5558 0.7432 Energy with old centers, new clusters = 1.87181 Energy with new centers, new clusters = 1.87181 1 11 0.5602 0.2065 0.5602 0.2065 2 14 0.5558 0.7432 0.5558 0.7432 Energy with old centers, new clusters = 1.87181 Energy with new centers, new clusters = 1.87181 1 11 0.5602 0.2065 0.5602 0.2065 2 14 0.5558 0.7432 0.5558 0.7432 Energy with old centers, new clusters = 1.87181 Energy with new centers, new clusters = 1.87181 1 11 0.5602 0.2065 0.5602 0.2065 2 14 0.5558 0.7432 0.5558 0.7432 Energy with old centers, new clusters = 1.87181 Energy with new centers, new clusters = 1.87181 1 11 0.5602 0.2065 0.5602 0.2065 2 14 0.5558 0.7432 0.5558 0.7432 Energy with old centers, new clusters = 1.87181 Energy with new centers, new clusters = 1.87181 1 11 0.5602 0.2065 0.5602 0.2065 2 14 0.5558 0.7432 0.5558 0.7432 Energy with old centers, new clusters = 1.87181 Energy with new centers, new clusters = 1.87181 1 11 0.5602 0.2065 0.5602 0.2065 2 14 0.5558 0.7432 0.5558 0.7432 Energy with old centers, new clusters = 1.87181 Energy with new centers, new clusters = 1.87181 1 11 0.5602 0.2065 0.5602 0.2065 2 14 0.5558 0.7432 0.5558 0.7432 Energy with old centers, new clusters = 1.87181 Energy with new centers, new clusters = 1.87181 1 11 0.5602 0.2065 0.5602 0.2065 2 14 0.5558 0.7432 0.5558 0.7432 Energy with old centers, new clusters = 1.87181 Energy with new centers, new clusters = 1.87181 1 11 0.5602 0.2065 0.5602 0.2065 2 14 0.5558 0.7432 0.5558 0.7432 Number of clusters = 3 Initial energy = 5.92699 1 12 0.4990 0.1302 2 5 0.5050 0.7610 3 8 0.8641 0.5958 Energy with old centers, new clusters = 1.51050 Energy with new centers, new clusters = 1.36066 1 10 0.4990 0.1302 0.5281 0.2019 2 9 0.5050 0.7610 0.4181 0.7913 3 6 0.8641 0.5958 0.8167 0.5895 Energy with old centers, new clusters = 1.31494 Energy with new centers, new clusters = 1.28897 1 10 0.5281 0.2019 0.5281 0.2019 2 8 0.4181 0.7913 0.3754 0.7829 3 7 0.8167 0.5895 0.8085 0.6279 Energy with old centers, new clusters = 1.27088 Energy with new centers, new clusters = 1.23493 1 11 0.5281 0.2019 0.5602 0.2065 2 8 0.3754 0.7829 0.3754 0.7829 3 6 0.8085 0.6279 0.7963 0.6904 Energy with old centers, new clusters = 1.23493 Energy with new centers, new clusters = 1.23493 1 11 0.5602 0.2065 0.5602 0.2065 2 8 0.3754 0.7829 0.3754 0.7829 3 6 0.7963 0.6904 0.7963 0.6904 Energy with old centers, new clusters = 1.23493 Energy with new centers, new clusters = 1.23493 1 11 0.5602 0.2065 0.5602 0.2065 2 8 0.3754 0.7829 0.3754 0.7829 3 6 0.7963 0.6904 0.7963 0.6904 Energy with old centers, new clusters = 1.23493 Energy with new centers, new clusters = 1.23493 1 11 0.5602 0.2065 0.5602 0.2065 2 8 0.3754 0.7829 0.3754 0.7829 3 6 0.7963 0.6904 0.7963 0.6904 Energy with old centers, new clusters = 1.23493 Energy with new centers, new clusters = 1.23493 1 11 0.5602 0.2065 0.5602 0.2065 2 8 0.3754 0.7829 0.3754 0.7829 3 6 0.7963 0.6904 0.7963 0.6904 Energy with old centers, new clusters = 1.23493 Energy with new centers, new clusters = 1.23493 1 11 0.5602 0.2065 0.5602 0.2065 2 8 0.3754 0.7829 0.3754 0.7829 3 6 0.7963 0.6904 0.7963 0.6904 Energy with old centers, new clusters = 1.23493 Energy with new centers, new clusters = 1.23493 1 11 0.5602 0.2065 0.5602 0.2065 2 8 0.3754 0.7829 0.3754 0.7829 3 6 0.7963 0.6904 0.7963 0.6904 Energy with old centers, new clusters = 1.23493 Energy with new centers, new clusters = 1.23493 1 11 0.5602 0.2065 0.5602 0.2065 2 8 0.3754 0.7829 0.3754 0.7829 3 6 0.7963 0.6904 0.7963 0.6904 Energy with old centers, new clusters = 1.23493 Energy with new centers, new clusters = 1.23493 1 11 0.5602 0.2065 0.5602 0.2065 2 8 0.3754 0.7829 0.3754 0.7829 3 6 0.7963 0.6904 0.7963 0.6904 Energy with old centers, new clusters = 1.23493 Energy with new centers, new clusters = 1.23493 1 11 0.5602 0.2065 0.5602 0.2065 2 8 0.3754 0.7829 0.3754 0.7829 3 6 0.7963 0.6904 0.7963 0.6904 Energy with old centers, new clusters = 1.23493 Energy with new centers, new clusters = 1.23493 1 11 0.5602 0.2065 0.5602 0.2065 2 8 0.3754 0.7829 0.3754 0.7829 3 6 0.7963 0.6904 0.7963 0.6904 Energy with old centers, new clusters = 1.23493 Energy with new centers, new clusters = 1.23493 1 11 0.5602 0.2065 0.5602 0.2065 2 8 0.3754 0.7829 0.3754 0.7829 3 6 0.7963 0.6904 0.7963 0.6904 Energy with old centers, new clusters = 1.23493 Energy with new centers, new clusters = 1.23493 1 11 0.5602 0.2065 0.5602 0.2065 2 8 0.3754 0.7829 0.3754 0.7829 3 6 0.7963 0.6904 0.7963 0.6904 Energy with old centers, new clusters = 1.23493 Energy with new centers, new clusters = 1.23493 1 11 0.5602 0.2065 0.5602 0.2065 2 8 0.3754 0.7829 0.3754 0.7829 3 6 0.7963 0.6904 0.7963 0.6904 Energy with old centers, new clusters = 1.23493 Energy with new centers, new clusters = 1.23493 1 11 0.5602 0.2065 0.5602 0.2065 2 8 0.3754 0.7829 0.3754 0.7829 3 6 0.7963 0.6904 0.7963 0.6904 Energy with old centers, new clusters = 1.23493 Energy with new centers, new clusters = 1.23493 1 11 0.5602 0.2065 0.5602 0.2065 2 8 0.3754 0.7829 0.3754 0.7829 3 6 0.7963 0.6904 0.7963 0.6904 Energy with old centers, new clusters = 1.23493 Energy with new centers, new clusters = 1.23493 1 11 0.5602 0.2065 0.5602 0.2065 2 8 0.3754 0.7829 0.3754 0.7829 3 6 0.7963 0.6904 0.7963 0.6904 Energy with old centers, new clusters = 1.23493 Energy with new centers, new clusters = 1.23493 1 11 0.5602 0.2065 0.5602 0.2065 2 8 0.3754 0.7829 0.3754 0.7829 3 6 0.7963 0.6904 0.7963 0.6904 Number of clusters = 4 Initial energy = 9.52157 1 4 0.7181 0.3185 2 6 0.7889 0.3248 3 7 0.0638 0.1351 4 8 0.2450 0.9308 Energy with old centers, new clusters = 2.20081 Energy with new centers, new clusters = 1.27929 1 6 0.7181 0.3185 0.5153 0.2986 2 8 0.7889 0.3248 0.8437 0.4700 3 3 0.0638 0.1351 0.2882 0.2055 4 8 0.2450 0.9308 0.4046 0.8136 Energy with old centers, new clusters = 1.23306 Energy with new centers, new clusters = 1.21314 1 4 0.5153 0.2986 0.5275 0.2686 2 8 0.8437 0.4700 0.8437 0.4700 3 4 0.2882 0.2055 0.3302 0.1803 4 9 0.4046 0.8136 0.4181 0.7913 Energy with old centers, new clusters = 1.21314 Energy with new centers, new clusters = 1.21314 1 4 0.5275 0.2686 0.5275 0.2686 2 8 0.8437 0.4700 0.8437 0.4700 3 4 0.3302 0.1803 0.3302 0.1803 4 9 0.4181 0.7913 0.4181 0.7913 Energy with old centers, new clusters = 1.21314 Energy with new centers, new clusters = 1.21314 1 4 0.5275 0.2686 0.5275 0.2686 2 8 0.8437 0.4700 0.8437 0.4700 3 4 0.3302 0.1803 0.3302 0.1803 4 9 0.4181 0.7913 0.4181 0.7913 Energy with old centers, new clusters = 1.21314 Energy with new centers, new clusters = 1.21314 1 4 0.5275 0.2686 0.5275 0.2686 2 8 0.8437 0.4700 0.8437 0.4700 3 4 0.3302 0.1803 0.3302 0.1803 4 9 0.4181 0.7913 0.4181 0.7913 Energy with old centers, new clusters = 1.21314 Energy with new centers, new clusters = 1.21314 1 4 0.5275 0.2686 0.5275 0.2686 2 8 0.8437 0.4700 0.8437 0.4700 3 4 0.3302 0.1803 0.3302 0.1803 4 9 0.4181 0.7913 0.4181 0.7913 Energy with old centers, new clusters = 1.21314 Energy with new centers, new clusters = 1.21314 1 4 0.5275 0.2686 0.5275 0.2686 2 8 0.8437 0.4700 0.8437 0.4700 3 4 0.3302 0.1803 0.3302 0.1803 4 9 0.4181 0.7913 0.4181 0.7913 Energy with old centers, new clusters = 1.21314 Energy with new centers, new clusters = 1.21314 1 4 0.5275 0.2686 0.5275 0.2686 2 8 0.8437 0.4700 0.8437 0.4700 3 4 0.3302 0.1803 0.3302 0.1803 4 9 0.4181 0.7913 0.4181 0.7913 Energy with old centers, new clusters = 1.21314 Energy with new centers, new clusters = 1.21314 1 4 0.5275 0.2686 0.5275 0.2686 2 8 0.8437 0.4700 0.8437 0.4700 3 4 0.3302 0.1803 0.3302 0.1803 4 9 0.4181 0.7913 0.4181 0.7913 Energy with old centers, new clusters = 1.21314 Energy with new centers, new clusters = 1.21314 1 4 0.5275 0.2686 0.5275 0.2686 2 8 0.8437 0.4700 0.8437 0.4700 3 4 0.3302 0.1803 0.3302 0.1803 4 9 0.4181 0.7913 0.4181 0.7913 Energy with old centers, new clusters = 1.21314 Energy with new centers, new clusters = 1.21314 1 4 0.5275 0.2686 0.5275 0.2686 2 8 0.8437 0.4700 0.8437 0.4700 3 4 0.3302 0.1803 0.3302 0.1803 4 9 0.4181 0.7913 0.4181 0.7913 Energy with old centers, new clusters = 1.21314 Energy with new centers, new clusters = 1.21314 1 4 0.5275 0.2686 0.5275 0.2686 2 8 0.8437 0.4700 0.8437 0.4700 3 4 0.3302 0.1803 0.3302 0.1803 4 9 0.4181 0.7913 0.4181 0.7913 Energy with old centers, new clusters = 1.21314 Energy with new centers, new clusters = 1.21314 1 4 0.5275 0.2686 0.5275 0.2686 2 8 0.8437 0.4700 0.8437 0.4700 3 4 0.3302 0.1803 0.3302 0.1803 4 9 0.4181 0.7913 0.4181 0.7913 Energy with old centers, new clusters = 1.21314 Energy with new centers, new clusters = 1.21314 1 4 0.5275 0.2686 0.5275 0.2686 2 8 0.8437 0.4700 0.8437 0.4700 3 4 0.3302 0.1803 0.3302 0.1803 4 9 0.4181 0.7913 0.4181 0.7913 Energy with old centers, new clusters = 1.21314 Energy with new centers, new clusters = 1.21314 1 4 0.5275 0.2686 0.5275 0.2686 2 8 0.8437 0.4700 0.8437 0.4700 3 4 0.3302 0.1803 0.3302 0.1803 4 9 0.4181 0.7913 0.4181 0.7913 Energy with old centers, new clusters = 1.21314 Energy with new centers, new clusters = 1.21314 1 4 0.5275 0.2686 0.5275 0.2686 2 8 0.8437 0.4700 0.8437 0.4700 3 4 0.3302 0.1803 0.3302 0.1803 4 9 0.4181 0.7913 0.4181 0.7913 Energy with old centers, new clusters = 1.21314 Energy with new centers, new clusters = 1.21314 1 4 0.5275 0.2686 0.5275 0.2686 2 8 0.8437 0.4700 0.8437 0.4700 3 4 0.3302 0.1803 0.3302 0.1803 4 9 0.4181 0.7913 0.4181 0.7913 Energy with old centers, new clusters = 1.21314 Energy with new centers, new clusters = 1.21314 1 4 0.5275 0.2686 0.5275 0.2686 2 8 0.8437 0.4700 0.8437 0.4700 3 4 0.3302 0.1803 0.3302 0.1803 4 9 0.4181 0.7913 0.4181 0.7913 Energy with old centers, new clusters = 1.21314 Energy with new centers, new clusters = 1.21314 1 4 0.5275 0.2686 0.5275 0.2686 2 8 0.8437 0.4700 0.8437 0.4700 3 4 0.3302 0.1803 0.3302 0.1803 4 9 0.4181 0.7913 0.4181 0.7913 Energy with old centers, new clusters = 1.21314 Energy with new centers, new clusters = 1.21314 1 4 0.5275 0.2686 0.5275 0.2686 2 8 0.8437 0.4700 0.8437 0.4700 3 4 0.3302 0.1803 0.3302 0.1803 4 9 0.4181 0.7913 0.4181 0.7913 Number of clusters = 5 Initial energy = 5.55372 1 5 0.7971 0.5480 2 5 0.7054 0.1978 3 3 0.3143 0.5976 4 6 0.7696 0.7849 5 6 0.6637 0.6050 Energy with old centers, new clusters = 1.33758 Energy with new centers, new clusters = 1.16554 1 3 0.7971 0.5480 0.8193 0.5974 2 7 0.7054 0.1978 0.6690 0.1567 3 7 0.3143 0.5976 0.2513 0.5421 4 5 0.7696 0.7849 0.6852 0.8306 5 3 0.6637 0.6050 0.5389 0.6133 Energy with old centers, new clusters = 1.13641 Energy with new centers, new clusters = 1.08868 1 4 0.8193 0.5974 0.8155 0.6306 2 7 0.6690 0.1567 0.6690 0.1567 3 6 0.2513 0.5421 0.2344 0.4930 4 5 0.6852 0.8306 0.6266 0.8473 5 3 0.5389 0.6133 0.4862 0.6210 Energy with old centers, new clusters = 1.08510 Energy with new centers, new clusters = 1.07495 1 5 0.8155 0.6306 0.8036 0.6568 2 7 0.6690 0.1567 0.6690 0.1567 3 6 0.2344 0.4930 0.2344 0.4930 4 4 0.6266 0.8473 0.5943 0.8687 5 3 0.4862 0.6210 0.4862 0.6210 Energy with old centers, new clusters = 1.06997 Energy with new centers, new clusters = 1.02598 1 5 0.8036 0.6568 0.8036 0.6568 2 7 0.6690 0.1567 0.6690 0.1567 3 6 0.2344 0.4930 0.2344 0.4930 4 5 0.5943 0.8687 0.5460 0.8623 5 2 0.4862 0.6210 0.5528 0.5132 Energy with old centers, new clusters = 1.00118 Energy with new centers, new clusters = 0.898175 1 6 0.8036 0.6568 0.7963 0.6904 2 7 0.6690 0.1567 0.6690 0.1567 3 5 0.2344 0.4930 0.2439 0.4159 4 5 0.5460 0.8623 0.4314 0.8663 5 2 0.5528 0.5132 0.5528 0.5132 Energy with old centers, new clusters = 0.880285 Energy with new centers, new clusters = 0.853086 1 6 0.7963 0.6904 0.7963 0.6904 2 6 0.6690 0.1567 0.7191 0.1533 3 6 0.2439 0.4159 0.2647 0.3761 4 5 0.4314 0.8663 0.4314 0.8663 5 2 0.5528 0.5132 0.5528 0.5132 Energy with old centers, new clusters = 0.817324 Energy with new centers, new clusters = 0.753701 1 6 0.7963 0.6904 0.7963 0.6904 2 6 0.7191 0.1533 0.7191 0.1533 3 5 0.2647 0.3761 0.3068 0.2998 4 6 0.4314 0.8663 0.3685 0.8482 5 2 0.5528 0.5132 0.5528 0.5132 Energy with old centers, new clusters = 0.742666 Energy with new centers, new clusters = 0.718300 1 6 0.7963 0.6904 0.7963 0.6904 2 5 0.7191 0.1533 0.7716 0.1631 3 6 0.3068 0.2998 0.3317 0.2673 4 6 0.3685 0.8482 0.3685 0.8482 5 2 0.5528 0.5132 0.5528 0.5132 Energy with old centers, new clusters = 0.712111 Energy with new centers, new clusters = 0.665762 1 6 0.7963 0.6904 0.7963 0.6904 2 5 0.7716 0.1631 0.7716 0.1631 3 5 0.3317 0.2673 0.3449 0.2085 4 6 0.3685 0.8482 0.3685 0.8482 5 3 0.5528 0.5132 0.4572 0.5292 Energy with old centers, new clusters = 0.665762 Energy with new centers, new clusters = 0.665762 1 6 0.7963 0.6904 0.7963 0.6904 2 5 0.7716 0.1631 0.7716 0.1631 3 5 0.3449 0.2085 0.3449 0.2085 4 6 0.3685 0.8482 0.3685 0.8482 5 3 0.4572 0.5292 0.4572 0.5292 Energy with old centers, new clusters = 0.665762 Energy with new centers, new clusters = 0.665762 1 6 0.7963 0.6904 0.7963 0.6904 2 5 0.7716 0.1631 0.7716 0.1631 3 5 0.3449 0.2085 0.3449 0.2085 4 6 0.3685 0.8482 0.3685 0.8482 5 3 0.4572 0.5292 0.4572 0.5292 Energy with old centers, new clusters = 0.665762 Energy with new centers, new clusters = 0.665762 1 6 0.7963 0.6904 0.7963 0.6904 2 5 0.7716 0.1631 0.7716 0.1631 3 5 0.3449 0.2085 0.3449 0.2085 4 6 0.3685 0.8482 0.3685 0.8482 5 3 0.4572 0.5292 0.4572 0.5292 Energy with old centers, new clusters = 0.665762 Energy with new centers, new clusters = 0.665762 1 6 0.7963 0.6904 0.7963 0.6904 2 5 0.7716 0.1631 0.7716 0.1631 3 5 0.3449 0.2085 0.3449 0.2085 4 6 0.3685 0.8482 0.3685 0.8482 5 3 0.4572 0.5292 0.4572 0.5292 Energy with old centers, new clusters = 0.665762 Energy with new centers, new clusters = 0.665762 1 6 0.7963 0.6904 0.7963 0.6904 2 5 0.7716 0.1631 0.7716 0.1631 3 5 0.3449 0.2085 0.3449 0.2085 4 6 0.3685 0.8482 0.3685 0.8482 5 3 0.4572 0.5292 0.4572 0.5292 Energy with old centers, new clusters = 0.665762 Energy with new centers, new clusters = 0.665762 1 6 0.7963 0.6904 0.7963 0.6904 2 5 0.7716 0.1631 0.7716 0.1631 3 5 0.3449 0.2085 0.3449 0.2085 4 6 0.3685 0.8482 0.3685 0.8482 5 3 0.4572 0.5292 0.4572 0.5292 Energy with old centers, new clusters = 0.665762 Energy with new centers, new clusters = 0.665762 1 6 0.7963 0.6904 0.7963 0.6904 2 5 0.7716 0.1631 0.7716 0.1631 3 5 0.3449 0.2085 0.3449 0.2085 4 6 0.3685 0.8482 0.3685 0.8482 5 3 0.4572 0.5292 0.4572 0.5292 Energy with old centers, new clusters = 0.665762 Energy with new centers, new clusters = 0.665762 1 6 0.7963 0.6904 0.7963 0.6904 2 5 0.7716 0.1631 0.7716 0.1631 3 5 0.3449 0.2085 0.3449 0.2085 4 6 0.3685 0.8482 0.3685 0.8482 5 3 0.4572 0.5292 0.4572 0.5292 Energy with old centers, new clusters = 0.665762 Energy with new centers, new clusters = 0.665762 1 6 0.7963 0.6904 0.7963 0.6904 2 5 0.7716 0.1631 0.7716 0.1631 3 5 0.3449 0.2085 0.3449 0.2085 4 6 0.3685 0.8482 0.3685 0.8482 5 3 0.4572 0.5292 0.4572 0.5292 Energy with old centers, new clusters = 0.665762 Energy with new centers, new clusters = 0.665762 1 6 0.7963 0.6904 0.7963 0.6904 2 5 0.7716 0.1631 0.7716 0.1631 3 5 0.3449 0.2085 0.3449 0.2085 4 6 0.3685 0.8482 0.3685 0.8482 5 3 0.4572 0.5292 0.4572 0.5292 Energy with old centers, new clusters = 0.665762 Energy with new centers, new clusters = 0.665762 1 6 0.7963 0.6904 0.7963 0.6904 2 5 0.7716 0.1631 0.7716 0.1631 3 5 0.3449 0.2085 0.3449 0.2085 4 6 0.3685 0.8482 0.3685 0.8482 5 3 0.4572 0.5292 0.4572 0.5292 Number of clusters = 6 Initial energy = 8.42901 1 6 0.4989 0.2872 2 2 0.7031 0.2111 3 3 0.4011 0.7204 4 6 0.0637 0.9267 5 4 0.9015 0.2488 6 4 0.5925 0.6216 Energy with old centers, new clusters = 0.949100 Energy with new centers, new clusters = 0.526042 1 7 0.4989 0.2872 0.4105 0.2478 2 1 0.7031 0.2111 0.5572 0.0607 3 5 0.4011 0.7204 0.4472 0.8029 4 2 0.0637 0.9267 0.1206 0.8181 5 3 0.9015 0.2488 0.9106 0.1588 6 7 0.5925 0.6216 0.7576 0.6793 Energy with old centers, new clusters = 0.495495 Energy with new centers, new clusters = 0.432933 1 6 0.4105 0.2478 0.4029 0.2717 2 2 0.5572 0.0607 0.5067 0.0826 3 5 0.4472 0.8029 0.4991 0.8131 4 3 0.1206 0.8181 0.1691 0.7325 5 3 0.9106 0.1588 0.9106 0.1588 6 6 0.7576 0.6793 0.7963 0.6904 Energy with old centers, new clusters = 0.432933 Energy with new centers, new clusters = 0.432933 1 6 0.4029 0.2717 0.4029 0.2717 2 2 0.5067 0.0826 0.5067 0.0826 3 5 0.4991 0.8131 0.4991 0.8131 4 3 0.1691 0.7325 0.1691 0.7325 5 3 0.9106 0.1588 0.9106 0.1588 6 6 0.7963 0.6904 0.7963 0.6904 Energy with old centers, new clusters = 0.432933 Energy with new centers, new clusters = 0.432933 1 6 0.4029 0.2717 0.4029 0.2717 2 2 0.5067 0.0826 0.5067 0.0826 3 5 0.4991 0.8131 0.4991 0.8131 4 3 0.1691 0.7325 0.1691 0.7325 5 3 0.9106 0.1588 0.9106 0.1588 6 6 0.7963 0.6904 0.7963 0.6904 Energy with old centers, new clusters = 0.432933 Energy with new centers, new clusters = 0.432933 1 6 0.4029 0.2717 0.4029 0.2717 2 2 0.5067 0.0826 0.5067 0.0826 3 5 0.4991 0.8131 0.4991 0.8131 4 3 0.1691 0.7325 0.1691 0.7325 5 3 0.9106 0.1588 0.9106 0.1588 6 6 0.7963 0.6904 0.7963 0.6904 Energy with old centers, new clusters = 0.432933 Energy with new centers, new clusters = 0.432933 1 6 0.4029 0.2717 0.4029 0.2717 2 2 0.5067 0.0826 0.5067 0.0826 3 5 0.4991 0.8131 0.4991 0.8131 4 3 0.1691 0.7325 0.1691 0.7325 5 3 0.9106 0.1588 0.9106 0.1588 6 6 0.7963 0.6904 0.7963 0.6904 Energy with old centers, new clusters = 0.432933 Energy with new centers, new clusters = 0.432933 1 6 0.4029 0.2717 0.4029 0.2717 2 2 0.5067 0.0826 0.5067 0.0826 3 5 0.4991 0.8131 0.4991 0.8131 4 3 0.1691 0.7325 0.1691 0.7325 5 3 0.9106 0.1588 0.9106 0.1588 6 6 0.7963 0.6904 0.7963 0.6904 Energy with old centers, new clusters = 0.432933 Energy with new centers, new clusters = 0.432933 1 6 0.4029 0.2717 0.4029 0.2717 2 2 0.5067 0.0826 0.5067 0.0826 3 5 0.4991 0.8131 0.4991 0.8131 4 3 0.1691 0.7325 0.1691 0.7325 5 3 0.9106 0.1588 0.9106 0.1588 6 6 0.7963 0.6904 0.7963 0.6904 Energy with old centers, new clusters = 0.432933 Energy with new centers, new clusters = 0.432933 1 6 0.4029 0.2717 0.4029 0.2717 2 2 0.5067 0.0826 0.5067 0.0826 3 5 0.4991 0.8131 0.4991 0.8131 4 3 0.1691 0.7325 0.1691 0.7325 5 3 0.9106 0.1588 0.9106 0.1588 6 6 0.7963 0.6904 0.7963 0.6904 Energy with old centers, new clusters = 0.432933 Energy with new centers, new clusters = 0.432933 1 6 0.4029 0.2717 0.4029 0.2717 2 2 0.5067 0.0826 0.5067 0.0826 3 5 0.4991 0.8131 0.4991 0.8131 4 3 0.1691 0.7325 0.1691 0.7325 5 3 0.9106 0.1588 0.9106 0.1588 6 6 0.7963 0.6904 0.7963 0.6904 Energy with old centers, new clusters = 0.432933 Energy with new centers, new clusters = 0.432933 1 6 0.4029 0.2717 0.4029 0.2717 2 2 0.5067 0.0826 0.5067 0.0826 3 5 0.4991 0.8131 0.4991 0.8131 4 3 0.1691 0.7325 0.1691 0.7325 5 3 0.9106 0.1588 0.9106 0.1588 6 6 0.7963 0.6904 0.7963 0.6904 Energy with old centers, new clusters = 0.432933 Energy with new centers, new clusters = 0.432933 1 6 0.4029 0.2717 0.4029 0.2717 2 2 0.5067 0.0826 0.5067 0.0826 3 5 0.4991 0.8131 0.4991 0.8131 4 3 0.1691 0.7325 0.1691 0.7325 5 3 0.9106 0.1588 0.9106 0.1588 6 6 0.7963 0.6904 0.7963 0.6904 Energy with old centers, new clusters = 0.432933 Energy with new centers, new clusters = 0.432933 1 6 0.4029 0.2717 0.4029 0.2717 2 2 0.5067 0.0826 0.5067 0.0826 3 5 0.4991 0.8131 0.4991 0.8131 4 3 0.1691 0.7325 0.1691 0.7325 5 3 0.9106 0.1588 0.9106 0.1588 6 6 0.7963 0.6904 0.7963 0.6904 Energy with old centers, new clusters = 0.432933 Energy with new centers, new clusters = 0.432933 1 6 0.4029 0.2717 0.4029 0.2717 2 2 0.5067 0.0826 0.5067 0.0826 3 5 0.4991 0.8131 0.4991 0.8131 4 3 0.1691 0.7325 0.1691 0.7325 5 3 0.9106 0.1588 0.9106 0.1588 6 6 0.7963 0.6904 0.7963 0.6904 Energy with old centers, new clusters = 0.432933 Energy with new centers, new clusters = 0.432933 1 6 0.4029 0.2717 0.4029 0.2717 2 2 0.5067 0.0826 0.5067 0.0826 3 5 0.4991 0.8131 0.4991 0.8131 4 3 0.1691 0.7325 0.1691 0.7325 5 3 0.9106 0.1588 0.9106 0.1588 6 6 0.7963 0.6904 0.7963 0.6904 Energy with old centers, new clusters = 0.432933 Energy with new centers, new clusters = 0.432933 1 6 0.4029 0.2717 0.4029 0.2717 2 2 0.5067 0.0826 0.5067 0.0826 3 5 0.4991 0.8131 0.4991 0.8131 4 3 0.1691 0.7325 0.1691 0.7325 5 3 0.9106 0.1588 0.9106 0.1588 6 6 0.7963 0.6904 0.7963 0.6904 Energy with old centers, new clusters = 0.432933 Energy with new centers, new clusters = 0.432933 1 6 0.4029 0.2717 0.4029 0.2717 2 2 0.5067 0.0826 0.5067 0.0826 3 5 0.4991 0.8131 0.4991 0.8131 4 3 0.1691 0.7325 0.1691 0.7325 5 3 0.9106 0.1588 0.9106 0.1588 6 6 0.7963 0.6904 0.7963 0.6904 Energy with old centers, new clusters = 0.432933 Energy with new centers, new clusters = 0.432933 1 6 0.4029 0.2717 0.4029 0.2717 2 2 0.5067 0.0826 0.5067 0.0826 3 5 0.4991 0.8131 0.4991 0.8131 4 3 0.1691 0.7325 0.1691 0.7325 5 3 0.9106 0.1588 0.9106 0.1588 6 6 0.7963 0.6904 0.7963 0.6904 Energy with old centers, new clusters = 0.432933 Energy with new centers, new clusters = 0.432933 1 6 0.4029 0.2717 0.4029 0.2717 2 2 0.5067 0.0826 0.5067 0.0826 3 5 0.4991 0.8131 0.4991 0.8131 4 3 0.1691 0.7325 0.1691 0.7325 5 3 0.9106 0.1588 0.9106 0.1588 6 6 0.7963 0.6904 0.7963 0.6904 Energy with old centers, new clusters = 0.432933 Energy with new centers, new clusters = 0.432933 1 6 0.4029 0.2717 0.4029 0.2717 2 2 0.5067 0.0826 0.5067 0.0826 3 5 0.4991 0.8131 0.4991 0.8131 4 3 0.1691 0.7325 0.1691 0.7325 5 3 0.9106 0.1588 0.9106 0.1588 6 6 0.7963 0.6904 0.7963 0.6904 Number of clusters = 7 Initial energy = 5.21536 1 4 0.1782 0.2360 2 1 0.5148 0.0193 3 5 0.4415 0.3560 4 3 0.4330 0.2054 5 6 0.6507 0.4640 6 5 0.7796 0.5165 7 1 0.6047 0.5624 Energy with old centers, new clusters = 1.87008 Energy with new centers, new clusters = 0.876711 1 3 0.1782 0.2360 0.1833 0.3990 2 3 0.5148 0.0193 0.8023 0.0947 3 3 0.4415 0.3560 0.4129 0.3870 4 2 0.4330 0.2054 0.4125 0.1408 5 1 0.6507 0.4640 0.5801 0.4139 6 6 0.7796 0.5165 0.8167 0.5895 7 7 0.6047 0.5624 0.4918 0.8289 Energy with old centers, new clusters = 0.708644 Energy with new centers, new clusters = 0.477732 1 2 0.1833 0.3990 0.1602 0.6595 2 3 0.8023 0.0947 0.9106 0.1588 3 1 0.4129 0.3870 0.4036 0.3214 4 5 0.4125 0.1408 0.3756 0.1564 5 3 0.5801 0.4139 0.5583 0.4349 6 5 0.8167 0.5895 0.8036 0.6568 7 6 0.4918 0.8289 0.4861 0.8650 Energy with old centers, new clusters = 0.404354 Energy with new centers, new clusters = 0.380843 1 3 0.1602 0.6595 0.1691 0.7325 2 3 0.9106 0.1588 0.9106 0.1588 3 1 0.4036 0.3214 0.4036 0.3214 4 5 0.3756 0.1564 0.3756 0.1564 5 3 0.5583 0.4349 0.5583 0.4349 6 6 0.8036 0.6568 0.7963 0.6904 7 4 0.4861 0.8650 0.4925 0.8633 Energy with old centers, new clusters = 0.380843 Energy with new centers, new clusters = 0.380843 1 3 0.1691 0.7325 0.1691 0.7325 2 3 0.9106 0.1588 0.9106 0.1588 3 1 0.4036 0.3214 0.4036 0.3214 4 5 0.3756 0.1564 0.3756 0.1564 5 3 0.5583 0.4349 0.5583 0.4349 6 6 0.7963 0.6904 0.7963 0.6904 7 4 0.4925 0.8633 0.4925 0.8633 Energy with old centers, new clusters = 0.380843 Energy with new centers, new clusters = 0.380843 1 3 0.1691 0.7325 0.1691 0.7325 2 3 0.9106 0.1588 0.9106 0.1588 3 1 0.4036 0.3214 0.4036 0.3214 4 5 0.3756 0.1564 0.3756 0.1564 5 3 0.5583 0.4349 0.5583 0.4349 6 6 0.7963 0.6904 0.7963 0.6904 7 4 0.4925 0.8633 0.4925 0.8633 Energy with old centers, new clusters = 0.380843 Energy with new centers, new clusters = 0.380843 1 3 0.1691 0.7325 0.1691 0.7325 2 3 0.9106 0.1588 0.9106 0.1588 3 1 0.4036 0.3214 0.4036 0.3214 4 5 0.3756 0.1564 0.3756 0.1564 5 3 0.5583 0.4349 0.5583 0.4349 6 6 0.7963 0.6904 0.7963 0.6904 7 4 0.4925 0.8633 0.4925 0.8633 Energy with old centers, new clusters = 0.380843 Energy with new centers, new clusters = 0.380843 1 3 0.1691 0.7325 0.1691 0.7325 2 3 0.9106 0.1588 0.9106 0.1588 3 1 0.4036 0.3214 0.4036 0.3214 4 5 0.3756 0.1564 0.3756 0.1564 5 3 0.5583 0.4349 0.5583 0.4349 6 6 0.7963 0.6904 0.7963 0.6904 7 4 0.4925 0.8633 0.4925 0.8633 Energy with old centers, new clusters = 0.380843 Energy with new centers, new clusters = 0.380843 1 3 0.1691 0.7325 0.1691 0.7325 2 3 0.9106 0.1588 0.9106 0.1588 3 1 0.4036 0.3214 0.4036 0.3214 4 5 0.3756 0.1564 0.3756 0.1564 5 3 0.5583 0.4349 0.5583 0.4349 6 6 0.7963 0.6904 0.7963 0.6904 7 4 0.4925 0.8633 0.4925 0.8633 Energy with old centers, new clusters = 0.380843 Energy with new centers, new clusters = 0.380843 1 3 0.1691 0.7325 0.1691 0.7325 2 3 0.9106 0.1588 0.9106 0.1588 3 1 0.4036 0.3214 0.4036 0.3214 4 5 0.3756 0.1564 0.3756 0.1564 5 3 0.5583 0.4349 0.5583 0.4349 6 6 0.7963 0.6904 0.7963 0.6904 7 4 0.4925 0.8633 0.4925 0.8633 Energy with old centers, new clusters = 0.380843 Energy with new centers, new clusters = 0.380843 1 3 0.1691 0.7325 0.1691 0.7325 2 3 0.9106 0.1588 0.9106 0.1588 3 1 0.4036 0.3214 0.4036 0.3214 4 5 0.3756 0.1564 0.3756 0.1564 5 3 0.5583 0.4349 0.5583 0.4349 6 6 0.7963 0.6904 0.7963 0.6904 7 4 0.4925 0.8633 0.4925 0.8633 Energy with old centers, new clusters = 0.380843 Energy with new centers, new clusters = 0.380843 1 3 0.1691 0.7325 0.1691 0.7325 2 3 0.9106 0.1588 0.9106 0.1588 3 1 0.4036 0.3214 0.4036 0.3214 4 5 0.3756 0.1564 0.3756 0.1564 5 3 0.5583 0.4349 0.5583 0.4349 6 6 0.7963 0.6904 0.7963 0.6904 7 4 0.4925 0.8633 0.4925 0.8633 Energy with old centers, new clusters = 0.380843 Energy with new centers, new clusters = 0.380843 1 3 0.1691 0.7325 0.1691 0.7325 2 3 0.9106 0.1588 0.9106 0.1588 3 1 0.4036 0.3214 0.4036 0.3214 4 5 0.3756 0.1564 0.3756 0.1564 5 3 0.5583 0.4349 0.5583 0.4349 6 6 0.7963 0.6904 0.7963 0.6904 7 4 0.4925 0.8633 0.4925 0.8633 Energy with old centers, new clusters = 0.380843 Energy with new centers, new clusters = 0.380843 1 3 0.1691 0.7325 0.1691 0.7325 2 3 0.9106 0.1588 0.9106 0.1588 3 1 0.4036 0.3214 0.4036 0.3214 4 5 0.3756 0.1564 0.3756 0.1564 5 3 0.5583 0.4349 0.5583 0.4349 6 6 0.7963 0.6904 0.7963 0.6904 7 4 0.4925 0.8633 0.4925 0.8633 Energy with old centers, new clusters = 0.380843 Energy with new centers, new clusters = 0.380843 1 3 0.1691 0.7325 0.1691 0.7325 2 3 0.9106 0.1588 0.9106 0.1588 3 1 0.4036 0.3214 0.4036 0.3214 4 5 0.3756 0.1564 0.3756 0.1564 5 3 0.5583 0.4349 0.5583 0.4349 6 6 0.7963 0.6904 0.7963 0.6904 7 4 0.4925 0.8633 0.4925 0.8633 Energy with old centers, new clusters = 0.380843 Energy with new centers, new clusters = 0.380843 1 3 0.1691 0.7325 0.1691 0.7325 2 3 0.9106 0.1588 0.9106 0.1588 3 1 0.4036 0.3214 0.4036 0.3214 4 5 0.3756 0.1564 0.3756 0.1564 5 3 0.5583 0.4349 0.5583 0.4349 6 6 0.7963 0.6904 0.7963 0.6904 7 4 0.4925 0.8633 0.4925 0.8633 Energy with old centers, new clusters = 0.380843 Energy with new centers, new clusters = 0.380843 1 3 0.1691 0.7325 0.1691 0.7325 2 3 0.9106 0.1588 0.9106 0.1588 3 1 0.4036 0.3214 0.4036 0.3214 4 5 0.3756 0.1564 0.3756 0.1564 5 3 0.5583 0.4349 0.5583 0.4349 6 6 0.7963 0.6904 0.7963 0.6904 7 4 0.4925 0.8633 0.4925 0.8633 Energy with old centers, new clusters = 0.380843 Energy with new centers, new clusters = 0.380843 1 3 0.1691 0.7325 0.1691 0.7325 2 3 0.9106 0.1588 0.9106 0.1588 3 1 0.4036 0.3214 0.4036 0.3214 4 5 0.3756 0.1564 0.3756 0.1564 5 3 0.5583 0.4349 0.5583 0.4349 6 6 0.7963 0.6904 0.7963 0.6904 7 4 0.4925 0.8633 0.4925 0.8633 Energy with old centers, new clusters = 0.380843 Energy with new centers, new clusters = 0.380843 1 3 0.1691 0.7325 0.1691 0.7325 2 3 0.9106 0.1588 0.9106 0.1588 3 1 0.4036 0.3214 0.4036 0.3214 4 5 0.3756 0.1564 0.3756 0.1564 5 3 0.5583 0.4349 0.5583 0.4349 6 6 0.7963 0.6904 0.7963 0.6904 7 4 0.4925 0.8633 0.4925 0.8633 Energy with old centers, new clusters = 0.380843 Energy with new centers, new clusters = 0.380843 1 3 0.1691 0.7325 0.1691 0.7325 2 3 0.9106 0.1588 0.9106 0.1588 3 1 0.4036 0.3214 0.4036 0.3214 4 5 0.3756 0.1564 0.3756 0.1564 5 3 0.5583 0.4349 0.5583 0.4349 6 6 0.7963 0.6904 0.7963 0.6904 7 4 0.4925 0.8633 0.4925 0.8633 Energy with old centers, new clusters = 0.380843 Energy with new centers, new clusters = 0.380843 1 3 0.1691 0.7325 0.1691 0.7325 2 3 0.9106 0.1588 0.9106 0.1588 3 1 0.4036 0.3214 0.4036 0.3214 4 5 0.3756 0.1564 0.3756 0.1564 5 3 0.5583 0.4349 0.5583 0.4349 6 6 0.7963 0.6904 0.7963 0.6904 7 4 0.4925 0.8633 0.4925 0.8633 Number of clusters = 8 Initial energy = 6.89693 1 2 0.5709 0.4722 2 2 0.7436 0.5424 3 3 0.7388 0.6293 4 4 0.8078 0.8830 5 7 0.2401 0.9555 6 3 0.5836 0.7798 7 3 0.6545 0.6309 8 1 0.0695 0.2371 Energy with old centers, new clusters = 1.46907 Energy with new centers, new clusters = 0.611853 1 6 0.5709 0.4722 0.4720 0.2900 2 5 0.7436 0.5424 0.8748 0.3277 3 2 0.7388 0.6293 0.8097 0.6801 4 2 0.8078 0.8830 0.7580 0.8099 5 3 0.2401 0.9555 0.1980 0.8242 6 3 0.5836 0.7798 0.5391 0.8722 7 1 0.6545 0.6309 0.5255 0.6124 8 3 0.0695 0.2371 0.2882 0.2055 Energy with old centers, new clusters = 0.451355 Energy with new centers, new clusters = 0.293748 1 5 0.4720 0.2900 0.5133 0.2358 2 3 0.8748 0.3277 0.9106 0.1588 3 4 0.8097 0.6801 0.8155 0.6306 4 2 0.7580 0.8099 0.7580 0.8099 5 3 0.1980 0.8242 0.1980 0.8242 6 3 0.5391 0.8722 0.5391 0.8722 7 2 0.5255 0.6124 0.3958 0.5869 8 3 0.2882 0.2055 0.2882 0.2055 Energy with old centers, new clusters = 0.292112 Energy with new centers, new clusters = 0.285937 1 5 0.5133 0.2358 0.5133 0.2358 2 3 0.9106 0.1588 0.9106 0.1588 3 3 0.8155 0.6306 0.8193 0.5974 4 3 0.7580 0.8099 0.7734 0.7834 5 3 0.1980 0.8242 0.1980 0.8242 6 3 0.5391 0.8722 0.5391 0.8722 7 2 0.3958 0.5869 0.3958 0.5869 8 3 0.2882 0.2055 0.2882 0.2055 Energy with old centers, new clusters = 0.285937 Energy with new centers, new clusters = 0.285937 1 5 0.5133 0.2358 0.5133 0.2358 2 3 0.9106 0.1588 0.9106 0.1588 3 3 0.8193 0.5974 0.8193 0.5974 4 3 0.7734 0.7834 0.7734 0.7834 5 3 0.1980 0.8242 0.1980 0.8242 6 3 0.5391 0.8722 0.5391 0.8722 7 2 0.3958 0.5869 0.3958 0.5869 8 3 0.2882 0.2055 0.2882 0.2055 Energy with old centers, new clusters = 0.285937 Energy with new centers, new clusters = 0.285937 1 5 0.5133 0.2358 0.5133 0.2358 2 3 0.9106 0.1588 0.9106 0.1588 3 3 0.8193 0.5974 0.8193 0.5974 4 3 0.7734 0.7834 0.7734 0.7834 5 3 0.1980 0.8242 0.1980 0.8242 6 3 0.5391 0.8722 0.5391 0.8722 7 2 0.3958 0.5869 0.3958 0.5869 8 3 0.2882 0.2055 0.2882 0.2055 Energy with old centers, new clusters = 0.285937 Energy with new centers, new clusters = 0.285937 1 5 0.5133 0.2358 0.5133 0.2358 2 3 0.9106 0.1588 0.9106 0.1588 3 3 0.8193 0.5974 0.8193 0.5974 4 3 0.7734 0.7834 0.7734 0.7834 5 3 0.1980 0.8242 0.1980 0.8242 6 3 0.5391 0.8722 0.5391 0.8722 7 2 0.3958 0.5869 0.3958 0.5869 8 3 0.2882 0.2055 0.2882 0.2055 Energy with old centers, new clusters = 0.285937 Energy with new centers, new clusters = 0.285937 1 5 0.5133 0.2358 0.5133 0.2358 2 3 0.9106 0.1588 0.9106 0.1588 3 3 0.8193 0.5974 0.8193 0.5974 4 3 0.7734 0.7834 0.7734 0.7834 5 3 0.1980 0.8242 0.1980 0.8242 6 3 0.5391 0.8722 0.5391 0.8722 7 2 0.3958 0.5869 0.3958 0.5869 8 3 0.2882 0.2055 0.2882 0.2055 Energy with old centers, new clusters = 0.285937 Energy with new centers, new clusters = 0.285937 1 5 0.5133 0.2358 0.5133 0.2358 2 3 0.9106 0.1588 0.9106 0.1588 3 3 0.8193 0.5974 0.8193 0.5974 4 3 0.7734 0.7834 0.7734 0.7834 5 3 0.1980 0.8242 0.1980 0.8242 6 3 0.5391 0.8722 0.5391 0.8722 7 2 0.3958 0.5869 0.3958 0.5869 8 3 0.2882 0.2055 0.2882 0.2055 Energy with old centers, new clusters = 0.285937 Energy with new centers, new clusters = 0.285937 1 5 0.5133 0.2358 0.5133 0.2358 2 3 0.9106 0.1588 0.9106 0.1588 3 3 0.8193 0.5974 0.8193 0.5974 4 3 0.7734 0.7834 0.7734 0.7834 5 3 0.1980 0.8242 0.1980 0.8242 6 3 0.5391 0.8722 0.5391 0.8722 7 2 0.3958 0.5869 0.3958 0.5869 8 3 0.2882 0.2055 0.2882 0.2055 Energy with old centers, new clusters = 0.285937 Energy with new centers, new clusters = 0.285937 1 5 0.5133 0.2358 0.5133 0.2358 2 3 0.9106 0.1588 0.9106 0.1588 3 3 0.8193 0.5974 0.8193 0.5974 4 3 0.7734 0.7834 0.7734 0.7834 5 3 0.1980 0.8242 0.1980 0.8242 6 3 0.5391 0.8722 0.5391 0.8722 7 2 0.3958 0.5869 0.3958 0.5869 8 3 0.2882 0.2055 0.2882 0.2055 Energy with old centers, new clusters = 0.285937 Energy with new centers, new clusters = 0.285937 1 5 0.5133 0.2358 0.5133 0.2358 2 3 0.9106 0.1588 0.9106 0.1588 3 3 0.8193 0.5974 0.8193 0.5974 4 3 0.7734 0.7834 0.7734 0.7834 5 3 0.1980 0.8242 0.1980 0.8242 6 3 0.5391 0.8722 0.5391 0.8722 7 2 0.3958 0.5869 0.3958 0.5869 8 3 0.2882 0.2055 0.2882 0.2055 Energy with old centers, new clusters = 0.285937 Energy with new centers, new clusters = 0.285937 1 5 0.5133 0.2358 0.5133 0.2358 2 3 0.9106 0.1588 0.9106 0.1588 3 3 0.8193 0.5974 0.8193 0.5974 4 3 0.7734 0.7834 0.7734 0.7834 5 3 0.1980 0.8242 0.1980 0.8242 6 3 0.5391 0.8722 0.5391 0.8722 7 2 0.3958 0.5869 0.3958 0.5869 8 3 0.2882 0.2055 0.2882 0.2055 Energy with old centers, new clusters = 0.285937 Energy with new centers, new clusters = 0.285937 1 5 0.5133 0.2358 0.5133 0.2358 2 3 0.9106 0.1588 0.9106 0.1588 3 3 0.8193 0.5974 0.8193 0.5974 4 3 0.7734 0.7834 0.7734 0.7834 5 3 0.1980 0.8242 0.1980 0.8242 6 3 0.5391 0.8722 0.5391 0.8722 7 2 0.3958 0.5869 0.3958 0.5869 8 3 0.2882 0.2055 0.2882 0.2055 Energy with old centers, new clusters = 0.285937 Energy with new centers, new clusters = 0.285937 1 5 0.5133 0.2358 0.5133 0.2358 2 3 0.9106 0.1588 0.9106 0.1588 3 3 0.8193 0.5974 0.8193 0.5974 4 3 0.7734 0.7834 0.7734 0.7834 5 3 0.1980 0.8242 0.1980 0.8242 6 3 0.5391 0.8722 0.5391 0.8722 7 2 0.3958 0.5869 0.3958 0.5869 8 3 0.2882 0.2055 0.2882 0.2055 Energy with old centers, new clusters = 0.285937 Energy with new centers, new clusters = 0.285937 1 5 0.5133 0.2358 0.5133 0.2358 2 3 0.9106 0.1588 0.9106 0.1588 3 3 0.8193 0.5974 0.8193 0.5974 4 3 0.7734 0.7834 0.7734 0.7834 5 3 0.1980 0.8242 0.1980 0.8242 6 3 0.5391 0.8722 0.5391 0.8722 7 2 0.3958 0.5869 0.3958 0.5869 8 3 0.2882 0.2055 0.2882 0.2055 Energy with old centers, new clusters = 0.285937 Energy with new centers, new clusters = 0.285937 1 5 0.5133 0.2358 0.5133 0.2358 2 3 0.9106 0.1588 0.9106 0.1588 3 3 0.8193 0.5974 0.8193 0.5974 4 3 0.7734 0.7834 0.7734 0.7834 5 3 0.1980 0.8242 0.1980 0.8242 6 3 0.5391 0.8722 0.5391 0.8722 7 2 0.3958 0.5869 0.3958 0.5869 8 3 0.2882 0.2055 0.2882 0.2055 Energy with old centers, new clusters = 0.285937 Energy with new centers, new clusters = 0.285937 1 5 0.5133 0.2358 0.5133 0.2358 2 3 0.9106 0.1588 0.9106 0.1588 3 3 0.8193 0.5974 0.8193 0.5974 4 3 0.7734 0.7834 0.7734 0.7834 5 3 0.1980 0.8242 0.1980 0.8242 6 3 0.5391 0.8722 0.5391 0.8722 7 2 0.3958 0.5869 0.3958 0.5869 8 3 0.2882 0.2055 0.2882 0.2055 Energy with old centers, new clusters = 0.285937 Energy with new centers, new clusters = 0.285937 1 5 0.5133 0.2358 0.5133 0.2358 2 3 0.9106 0.1588 0.9106 0.1588 3 3 0.8193 0.5974 0.8193 0.5974 4 3 0.7734 0.7834 0.7734 0.7834 5 3 0.1980 0.8242 0.1980 0.8242 6 3 0.5391 0.8722 0.5391 0.8722 7 2 0.3958 0.5869 0.3958 0.5869 8 3 0.2882 0.2055 0.2882 0.2055 Energy with old centers, new clusters = 0.285937 Energy with new centers, new clusters = 0.285937 1 5 0.5133 0.2358 0.5133 0.2358 2 3 0.9106 0.1588 0.9106 0.1588 3 3 0.8193 0.5974 0.8193 0.5974 4 3 0.7734 0.7834 0.7734 0.7834 5 3 0.1980 0.8242 0.1980 0.8242 6 3 0.5391 0.8722 0.5391 0.8722 7 2 0.3958 0.5869 0.3958 0.5869 8 3 0.2882 0.2055 0.2882 0.2055 Energy with old centers, new clusters = 0.285937 Energy with new centers, new clusters = 0.285937 1 5 0.5133 0.2358 0.5133 0.2358 2 3 0.9106 0.1588 0.9106 0.1588 3 3 0.8193 0.5974 0.8193 0.5974 4 3 0.7734 0.7834 0.7734 0.7834 5 3 0.1980 0.8242 0.1980 0.8242 6 3 0.5391 0.8722 0.5391 0.8722 7 2 0.3958 0.5869 0.3958 0.5869 8 3 0.2882 0.2055 0.2882 0.2055 Number of clusters = 9 Initial energy = 8.19181 1 6 0.3842 0.0257 2 2 0.8443 0.2396 3 1 0.5274 0.6198 4 4 0.7265 0.6607 5 2 0.2580 0.4906 6 1 0.8426 0.6358 7 3 0.2490 0.8653 8 3 0.2885 0.1246 9 3 0.6280 0.0663 Energy with old centers, new clusters = 0.583640 Energy with new centers, new clusters = 0.441269 1 1 0.3842 0.0257 0.4562 0.1046 2 3 0.8443 0.2396 0.9106 0.1588 3 4 0.5274 0.6198 0.5403 0.6627 4 3 0.7265 0.6607 0.7516 0.7322 5 2 0.2580 0.4906 0.3348 0.4414 6 3 0.8426 0.6358 0.8410 0.6486 7 4 0.2490 0.8653 0.2889 0.8662 8 3 0.2885 0.1246 0.2882 0.2055 9 2 0.6280 0.0663 0.5632 0.1695 Energy with old centers, new clusters = 0.423790 Energy with new centers, new clusters = 0.364054 1 1 0.4562 0.1046 0.4562 0.1046 2 3 0.9106 0.1588 0.9106 0.1588 3 3 0.5403 0.6627 0.5270 0.7456 4 3 0.7516 0.7322 0.7734 0.7834 5 2 0.3348 0.4414 0.3348 0.4414 6 3 0.8410 0.6486 0.8193 0.5974 7 4 0.2889 0.8662 0.2889 0.8662 8 3 0.2882 0.2055 0.2882 0.2055 9 3 0.5632 0.1695 0.5688 0.2510 Energy with old centers, new clusters = 0.311514 Energy with new centers, new clusters = 0.241706 1 2 0.4562 0.1046 0.5067 0.0826 2 3 0.9106 0.1588 0.9106 0.1588 3 4 0.5270 0.7456 0.5357 0.8072 4 3 0.7734 0.7834 0.7734 0.7834 5 2 0.3348 0.4414 0.3348 0.4414 6 3 0.8193 0.5974 0.8193 0.5974 7 3 0.2889 0.8662 0.1980 0.8242 8 3 0.2882 0.2055 0.2882 0.2055 9 2 0.5688 0.2510 0.5746 0.3461 Energy with old centers, new clusters = 0.241706 Energy with new centers, new clusters = 0.241706 1 2 0.5067 0.0826 0.5067 0.0826 2 3 0.9106 0.1588 0.9106 0.1588 3 4 0.5357 0.8072 0.5357 0.8072 4 3 0.7734 0.7834 0.7734 0.7834 5 2 0.3348 0.4414 0.3348 0.4414 6 3 0.8193 0.5974 0.8193 0.5974 7 3 0.1980 0.8242 0.1980 0.8242 8 3 0.2882 0.2055 0.2882 0.2055 9 2 0.5746 0.3461 0.5746 0.3461 Energy with old centers, new clusters = 0.241706 Energy with new centers, new clusters = 0.241706 1 2 0.5067 0.0826 0.5067 0.0826 2 3 0.9106 0.1588 0.9106 0.1588 3 4 0.5357 0.8072 0.5357 0.8072 4 3 0.7734 0.7834 0.7734 0.7834 5 2 0.3348 0.4414 0.3348 0.4414 6 3 0.8193 0.5974 0.8193 0.5974 7 3 0.1980 0.8242 0.1980 0.8242 8 3 0.2882 0.2055 0.2882 0.2055 9 2 0.5746 0.3461 0.5746 0.3461 Energy with old centers, new clusters = 0.241706 Energy with new centers, new clusters = 0.241706 1 2 0.5067 0.0826 0.5067 0.0826 2 3 0.9106 0.1588 0.9106 0.1588 3 4 0.5357 0.8072 0.5357 0.8072 4 3 0.7734 0.7834 0.7734 0.7834 5 2 0.3348 0.4414 0.3348 0.4414 6 3 0.8193 0.5974 0.8193 0.5974 7 3 0.1980 0.8242 0.1980 0.8242 8 3 0.2882 0.2055 0.2882 0.2055 9 2 0.5746 0.3461 0.5746 0.3461 Energy with old centers, new clusters = 0.241706 Energy with new centers, new clusters = 0.241706 1 2 0.5067 0.0826 0.5067 0.0826 2 3 0.9106 0.1588 0.9106 0.1588 3 4 0.5357 0.8072 0.5357 0.8072 4 3 0.7734 0.7834 0.7734 0.7834 5 2 0.3348 0.4414 0.3348 0.4414 6 3 0.8193 0.5974 0.8193 0.5974 7 3 0.1980 0.8242 0.1980 0.8242 8 3 0.2882 0.2055 0.2882 0.2055 9 2 0.5746 0.3461 0.5746 0.3461 Energy with old centers, new clusters = 0.241706 Energy with new centers, new clusters = 0.241706 1 2 0.5067 0.0826 0.5067 0.0826 2 3 0.9106 0.1588 0.9106 0.1588 3 4 0.5357 0.8072 0.5357 0.8072 4 3 0.7734 0.7834 0.7734 0.7834 5 2 0.3348 0.4414 0.3348 0.4414 6 3 0.8193 0.5974 0.8193 0.5974 7 3 0.1980 0.8242 0.1980 0.8242 8 3 0.2882 0.2055 0.2882 0.2055 9 2 0.5746 0.3461 0.5746 0.3461 Energy with old centers, new clusters = 0.241706 Energy with new centers, new clusters = 0.241706 1 2 0.5067 0.0826 0.5067 0.0826 2 3 0.9106 0.1588 0.9106 0.1588 3 4 0.5357 0.8072 0.5357 0.8072 4 3 0.7734 0.7834 0.7734 0.7834 5 2 0.3348 0.4414 0.3348 0.4414 6 3 0.8193 0.5974 0.8193 0.5974 7 3 0.1980 0.8242 0.1980 0.8242 8 3 0.2882 0.2055 0.2882 0.2055 9 2 0.5746 0.3461 0.5746 0.3461 Energy with old centers, new clusters = 0.241706 Energy with new centers, new clusters = 0.241706 1 2 0.5067 0.0826 0.5067 0.0826 2 3 0.9106 0.1588 0.9106 0.1588 3 4 0.5357 0.8072 0.5357 0.8072 4 3 0.7734 0.7834 0.7734 0.7834 5 2 0.3348 0.4414 0.3348 0.4414 6 3 0.8193 0.5974 0.8193 0.5974 7 3 0.1980 0.8242 0.1980 0.8242 8 3 0.2882 0.2055 0.2882 0.2055 9 2 0.5746 0.3461 0.5746 0.3461 Energy with old centers, new clusters = 0.241706 Energy with new centers, new clusters = 0.241706 1 2 0.5067 0.0826 0.5067 0.0826 2 3 0.9106 0.1588 0.9106 0.1588 3 4 0.5357 0.8072 0.5357 0.8072 4 3 0.7734 0.7834 0.7734 0.7834 5 2 0.3348 0.4414 0.3348 0.4414 6 3 0.8193 0.5974 0.8193 0.5974 7 3 0.1980 0.8242 0.1980 0.8242 8 3 0.2882 0.2055 0.2882 0.2055 9 2 0.5746 0.3461 0.5746 0.3461 Energy with old centers, new clusters = 0.241706 Energy with new centers, new clusters = 0.241706 1 2 0.5067 0.0826 0.5067 0.0826 2 3 0.9106 0.1588 0.9106 0.1588 3 4 0.5357 0.8072 0.5357 0.8072 4 3 0.7734 0.7834 0.7734 0.7834 5 2 0.3348 0.4414 0.3348 0.4414 6 3 0.8193 0.5974 0.8193 0.5974 7 3 0.1980 0.8242 0.1980 0.8242 8 3 0.2882 0.2055 0.2882 0.2055 9 2 0.5746 0.3461 0.5746 0.3461 Energy with old centers, new clusters = 0.241706 Energy with new centers, new clusters = 0.241706 1 2 0.5067 0.0826 0.5067 0.0826 2 3 0.9106 0.1588 0.9106 0.1588 3 4 0.5357 0.8072 0.5357 0.8072 4 3 0.7734 0.7834 0.7734 0.7834 5 2 0.3348 0.4414 0.3348 0.4414 6 3 0.8193 0.5974 0.8193 0.5974 7 3 0.1980 0.8242 0.1980 0.8242 8 3 0.2882 0.2055 0.2882 0.2055 9 2 0.5746 0.3461 0.5746 0.3461 Energy with old centers, new clusters = 0.241706 Energy with new centers, new clusters = 0.241706 1 2 0.5067 0.0826 0.5067 0.0826 2 3 0.9106 0.1588 0.9106 0.1588 3 4 0.5357 0.8072 0.5357 0.8072 4 3 0.7734 0.7834 0.7734 0.7834 5 2 0.3348 0.4414 0.3348 0.4414 6 3 0.8193 0.5974 0.8193 0.5974 7 3 0.1980 0.8242 0.1980 0.8242 8 3 0.2882 0.2055 0.2882 0.2055 9 2 0.5746 0.3461 0.5746 0.3461 Energy with old centers, new clusters = 0.241706 Energy with new centers, new clusters = 0.241706 1 2 0.5067 0.0826 0.5067 0.0826 2 3 0.9106 0.1588 0.9106 0.1588 3 4 0.5357 0.8072 0.5357 0.8072 4 3 0.7734 0.7834 0.7734 0.7834 5 2 0.3348 0.4414 0.3348 0.4414 6 3 0.8193 0.5974 0.8193 0.5974 7 3 0.1980 0.8242 0.1980 0.8242 8 3 0.2882 0.2055 0.2882 0.2055 9 2 0.5746 0.3461 0.5746 0.3461 Energy with old centers, new clusters = 0.241706 Energy with new centers, new clusters = 0.241706 1 2 0.5067 0.0826 0.5067 0.0826 2 3 0.9106 0.1588 0.9106 0.1588 3 4 0.5357 0.8072 0.5357 0.8072 4 3 0.7734 0.7834 0.7734 0.7834 5 2 0.3348 0.4414 0.3348 0.4414 6 3 0.8193 0.5974 0.8193 0.5974 7 3 0.1980 0.8242 0.1980 0.8242 8 3 0.2882 0.2055 0.2882 0.2055 9 2 0.5746 0.3461 0.5746 0.3461 Energy with old centers, new clusters = 0.241706 Energy with new centers, new clusters = 0.241706 1 2 0.5067 0.0826 0.5067 0.0826 2 3 0.9106 0.1588 0.9106 0.1588 3 4 0.5357 0.8072 0.5357 0.8072 4 3 0.7734 0.7834 0.7734 0.7834 5 2 0.3348 0.4414 0.3348 0.4414 6 3 0.8193 0.5974 0.8193 0.5974 7 3 0.1980 0.8242 0.1980 0.8242 8 3 0.2882 0.2055 0.2882 0.2055 9 2 0.5746 0.3461 0.5746 0.3461 Energy with old centers, new clusters = 0.241706 Energy with new centers, new clusters = 0.241706 1 2 0.5067 0.0826 0.5067 0.0826 2 3 0.9106 0.1588 0.9106 0.1588 3 4 0.5357 0.8072 0.5357 0.8072 4 3 0.7734 0.7834 0.7734 0.7834 5 2 0.3348 0.4414 0.3348 0.4414 6 3 0.8193 0.5974 0.8193 0.5974 7 3 0.1980 0.8242 0.1980 0.8242 8 3 0.2882 0.2055 0.2882 0.2055 9 2 0.5746 0.3461 0.5746 0.3461 Energy with old centers, new clusters = 0.241706 Energy with new centers, new clusters = 0.241706 1 2 0.5067 0.0826 0.5067 0.0826 2 3 0.9106 0.1588 0.9106 0.1588 3 4 0.5357 0.8072 0.5357 0.8072 4 3 0.7734 0.7834 0.7734 0.7834 5 2 0.3348 0.4414 0.3348 0.4414 6 3 0.8193 0.5974 0.8193 0.5974 7 3 0.1980 0.8242 0.1980 0.8242 8 3 0.2882 0.2055 0.2882 0.2055 9 2 0.5746 0.3461 0.5746 0.3461 Energy with old centers, new clusters = 0.241706 Energy with new centers, new clusters = 0.241706 1 2 0.5067 0.0826 0.5067 0.0826 2 3 0.9106 0.1588 0.9106 0.1588 3 4 0.5357 0.8072 0.5357 0.8072 4 3 0.7734 0.7834 0.7734 0.7834 5 2 0.3348 0.4414 0.3348 0.4414 6 3 0.8193 0.5974 0.8193 0.5974 7 3 0.1980 0.8242 0.1980 0.8242 8 3 0.2882 0.2055 0.2882 0.2055 9 2 0.5746 0.3461 0.5746 0.3461 Number of clusters = 10 Initial energy = 11.1252 1 5 0.1431 0.9977 2 0 0.4567 0.4853 3 3 0.4478 0.6846 4 4 0.7149 0.2441 5 6 0.0554 0.1168 6 1 0.8786 0.1419 7 2 0.1287 0.7960 8 0 0.4492 0.8199 9 2 0.5443 0.2114 10 2 0.0994 0.6421 Energy with old centers, new clusters = 1.08090 Number of empty clusters was 1 Energy with new centers, new clusters = 0.434746 1 0 0.1431 0.9977 0.6018 0.7812 2 3 0.4567 0.4853 0.5742 0.4374 3 3 0.4478 0.6846 0.7150 0.6575 4 1 0.7149 0.2441 0.9036 0.5856 5 1 0.0554 0.1168 0.2097 0.1834 6 3 0.8786 0.1419 0.9106 0.1588 7 2 0.1287 0.7960 0.1206 0.8181 8 6 0.4492 0.8199 0.5810 0.8455 9 5 0.5443 0.2114 0.4475 0.1753 10 1 0.0994 0.6421 0.2660 0.5613 Energy with old centers, new clusters = 0.321801 Energy with new centers, new clusters = 0.235770 1 1 0.6018 0.7812 0.7598 0.8585 2 3 0.5742 0.4374 0.5583 0.4349 3 3 0.7150 0.6575 0.7663 0.6895 4 2 0.9036 0.5856 0.8595 0.6077 5 2 0.2097 0.1834 0.2478 0.2197 6 3 0.9106 0.1588 0.9106 0.1588 7 2 0.1206 0.8181 0.1206 0.8181 8 4 0.5810 0.8455 0.4925 0.8633 9 4 0.4475 0.1753 0.4465 0.1659 10 1 0.2660 0.5613 0.2660 0.5613 Energy with old centers, new clusters = 0.235770 Energy with new centers, new clusters = 0.235770 1 1 0.7598 0.8585 0.7598 0.8585 2 3 0.5583 0.4349 0.5583 0.4349 3 3 0.7663 0.6895 0.7663 0.6895 4 2 0.8595 0.6077 0.8595 0.6077 5 2 0.2478 0.2197 0.2478 0.2197 6 3 0.9106 0.1588 0.9106 0.1588 7 2 0.1206 0.8181 0.1206 0.8181 8 4 0.4925 0.8633 0.4925 0.8633 9 4 0.4465 0.1659 0.4465 0.1659 10 1 0.2660 0.5613 0.2660 0.5613 Energy with old centers, new clusters = 0.235770 Energy with new centers, new clusters = 0.235770 1 1 0.7598 0.8585 0.7598 0.8585 2 3 0.5583 0.4349 0.5583 0.4349 3 3 0.7663 0.6895 0.7663 0.6895 4 2 0.8595 0.6077 0.8595 0.6077 5 2 0.2478 0.2197 0.2478 0.2197 6 3 0.9106 0.1588 0.9106 0.1588 7 2 0.1206 0.8181 0.1206 0.8181 8 4 0.4925 0.8633 0.4925 0.8633 9 4 0.4465 0.1659 0.4465 0.1659 10 1 0.2660 0.5613 0.2660 0.5613 Energy with old centers, new clusters = 0.235770 Energy with new centers, new clusters = 0.235770 1 1 0.7598 0.8585 0.7598 0.8585 2 3 0.5583 0.4349 0.5583 0.4349 3 3 0.7663 0.6895 0.7663 0.6895 4 2 0.8595 0.6077 0.8595 0.6077 5 2 0.2478 0.2197 0.2478 0.2197 6 3 0.9106 0.1588 0.9106 0.1588 7 2 0.1206 0.8181 0.1206 0.8181 8 4 0.4925 0.8633 0.4925 0.8633 9 4 0.4465 0.1659 0.4465 0.1659 10 1 0.2660 0.5613 0.2660 0.5613 Energy with old centers, new clusters = 0.235770 Energy with new centers, new clusters = 0.235770 1 1 0.7598 0.8585 0.7598 0.8585 2 3 0.5583 0.4349 0.5583 0.4349 3 3 0.7663 0.6895 0.7663 0.6895 4 2 0.8595 0.6077 0.8595 0.6077 5 2 0.2478 0.2197 0.2478 0.2197 6 3 0.9106 0.1588 0.9106 0.1588 7 2 0.1206 0.8181 0.1206 0.8181 8 4 0.4925 0.8633 0.4925 0.8633 9 4 0.4465 0.1659 0.4465 0.1659 10 1 0.2660 0.5613 0.2660 0.5613 Energy with old centers, new clusters = 0.235770 Energy with new centers, new clusters = 0.235770 1 1 0.7598 0.8585 0.7598 0.8585 2 3 0.5583 0.4349 0.5583 0.4349 3 3 0.7663 0.6895 0.7663 0.6895 4 2 0.8595 0.6077 0.8595 0.6077 5 2 0.2478 0.2197 0.2478 0.2197 6 3 0.9106 0.1588 0.9106 0.1588 7 2 0.1206 0.8181 0.1206 0.8181 8 4 0.4925 0.8633 0.4925 0.8633 9 4 0.4465 0.1659 0.4465 0.1659 10 1 0.2660 0.5613 0.2660 0.5613 Energy with old centers, new clusters = 0.235770 Energy with new centers, new clusters = 0.235770 1 1 0.7598 0.8585 0.7598 0.8585 2 3 0.5583 0.4349 0.5583 0.4349 3 3 0.7663 0.6895 0.7663 0.6895 4 2 0.8595 0.6077 0.8595 0.6077 5 2 0.2478 0.2197 0.2478 0.2197 6 3 0.9106 0.1588 0.9106 0.1588 7 2 0.1206 0.8181 0.1206 0.8181 8 4 0.4925 0.8633 0.4925 0.8633 9 4 0.4465 0.1659 0.4465 0.1659 10 1 0.2660 0.5613 0.2660 0.5613 Energy with old centers, new clusters = 0.235770 Energy with new centers, new clusters = 0.235770 1 1 0.7598 0.8585 0.7598 0.8585 2 3 0.5583 0.4349 0.5583 0.4349 3 3 0.7663 0.6895 0.7663 0.6895 4 2 0.8595 0.6077 0.8595 0.6077 5 2 0.2478 0.2197 0.2478 0.2197 6 3 0.9106 0.1588 0.9106 0.1588 7 2 0.1206 0.8181 0.1206 0.8181 8 4 0.4925 0.8633 0.4925 0.8633 9 4 0.4465 0.1659 0.4465 0.1659 10 1 0.2660 0.5613 0.2660 0.5613 Energy with old centers, new clusters = 0.235770 Energy with new centers, new clusters = 0.235770 1 1 0.7598 0.8585 0.7598 0.8585 2 3 0.5583 0.4349 0.5583 0.4349 3 3 0.7663 0.6895 0.7663 0.6895 4 2 0.8595 0.6077 0.8595 0.6077 5 2 0.2478 0.2197 0.2478 0.2197 6 3 0.9106 0.1588 0.9106 0.1588 7 2 0.1206 0.8181 0.1206 0.8181 8 4 0.4925 0.8633 0.4925 0.8633 9 4 0.4465 0.1659 0.4465 0.1659 10 1 0.2660 0.5613 0.2660 0.5613 Energy with old centers, new clusters = 0.235770 Energy with new centers, new clusters = 0.235770 1 1 0.7598 0.8585 0.7598 0.8585 2 3 0.5583 0.4349 0.5583 0.4349 3 3 0.7663 0.6895 0.7663 0.6895 4 2 0.8595 0.6077 0.8595 0.6077 5 2 0.2478 0.2197 0.2478 0.2197 6 3 0.9106 0.1588 0.9106 0.1588 7 2 0.1206 0.8181 0.1206 0.8181 8 4 0.4925 0.8633 0.4925 0.8633 9 4 0.4465 0.1659 0.4465 0.1659 10 1 0.2660 0.5613 0.2660 0.5613 Energy with old centers, new clusters = 0.235770 Energy with new centers, new clusters = 0.235770 1 1 0.7598 0.8585 0.7598 0.8585 2 3 0.5583 0.4349 0.5583 0.4349 3 3 0.7663 0.6895 0.7663 0.6895 4 2 0.8595 0.6077 0.8595 0.6077 5 2 0.2478 0.2197 0.2478 0.2197 6 3 0.9106 0.1588 0.9106 0.1588 7 2 0.1206 0.8181 0.1206 0.8181 8 4 0.4925 0.8633 0.4925 0.8633 9 4 0.4465 0.1659 0.4465 0.1659 10 1 0.2660 0.5613 0.2660 0.5613 Energy with old centers, new clusters = 0.235770 Energy with new centers, new clusters = 0.235770 1 1 0.7598 0.8585 0.7598 0.8585 2 3 0.5583 0.4349 0.5583 0.4349 3 3 0.7663 0.6895 0.7663 0.6895 4 2 0.8595 0.6077 0.8595 0.6077 5 2 0.2478 0.2197 0.2478 0.2197 6 3 0.9106 0.1588 0.9106 0.1588 7 2 0.1206 0.8181 0.1206 0.8181 8 4 0.4925 0.8633 0.4925 0.8633 9 4 0.4465 0.1659 0.4465 0.1659 10 1 0.2660 0.5613 0.2660 0.5613 Energy with old centers, new clusters = 0.235770 Energy with new centers, new clusters = 0.235770 1 1 0.7598 0.8585 0.7598 0.8585 2 3 0.5583 0.4349 0.5583 0.4349 3 3 0.7663 0.6895 0.7663 0.6895 4 2 0.8595 0.6077 0.8595 0.6077 5 2 0.2478 0.2197 0.2478 0.2197 6 3 0.9106 0.1588 0.9106 0.1588 7 2 0.1206 0.8181 0.1206 0.8181 8 4 0.4925 0.8633 0.4925 0.8633 9 4 0.4465 0.1659 0.4465 0.1659 10 1 0.2660 0.5613 0.2660 0.5613 Energy with old centers, new clusters = 0.235770 Energy with new centers, new clusters = 0.235770 1 1 0.7598 0.8585 0.7598 0.8585 2 3 0.5583 0.4349 0.5583 0.4349 3 3 0.7663 0.6895 0.7663 0.6895 4 2 0.8595 0.6077 0.8595 0.6077 5 2 0.2478 0.2197 0.2478 0.2197 6 3 0.9106 0.1588 0.9106 0.1588 7 2 0.1206 0.8181 0.1206 0.8181 8 4 0.4925 0.8633 0.4925 0.8633 9 4 0.4465 0.1659 0.4465 0.1659 10 1 0.2660 0.5613 0.2660 0.5613 Energy with old centers, new clusters = 0.235770 Energy with new centers, new clusters = 0.235770 1 1 0.7598 0.8585 0.7598 0.8585 2 3 0.5583 0.4349 0.5583 0.4349 3 3 0.7663 0.6895 0.7663 0.6895 4 2 0.8595 0.6077 0.8595 0.6077 5 2 0.2478 0.2197 0.2478 0.2197 6 3 0.9106 0.1588 0.9106 0.1588 7 2 0.1206 0.8181 0.1206 0.8181 8 4 0.4925 0.8633 0.4925 0.8633 9 4 0.4465 0.1659 0.4465 0.1659 10 1 0.2660 0.5613 0.2660 0.5613 Energy with old centers, new clusters = 0.235770 Energy with new centers, new clusters = 0.235770 1 1 0.7598 0.8585 0.7598 0.8585 2 3 0.5583 0.4349 0.5583 0.4349 3 3 0.7663 0.6895 0.7663 0.6895 4 2 0.8595 0.6077 0.8595 0.6077 5 2 0.2478 0.2197 0.2478 0.2197 6 3 0.9106 0.1588 0.9106 0.1588 7 2 0.1206 0.8181 0.1206 0.8181 8 4 0.4925 0.8633 0.4925 0.8633 9 4 0.4465 0.1659 0.4465 0.1659 10 1 0.2660 0.5613 0.2660 0.5613 Energy with old centers, new clusters = 0.235770 Energy with new centers, new clusters = 0.235770 1 1 0.7598 0.8585 0.7598 0.8585 2 3 0.5583 0.4349 0.5583 0.4349 3 3 0.7663 0.6895 0.7663 0.6895 4 2 0.8595 0.6077 0.8595 0.6077 5 2 0.2478 0.2197 0.2478 0.2197 6 3 0.9106 0.1588 0.9106 0.1588 7 2 0.1206 0.8181 0.1206 0.8181 8 4 0.4925 0.8633 0.4925 0.8633 9 4 0.4465 0.1659 0.4465 0.1659 10 1 0.2660 0.5613 0.2660 0.5613 Energy with old centers, new clusters = 0.235770 Energy with new centers, new clusters = 0.235770 1 1 0.7598 0.8585 0.7598 0.8585 2 3 0.5583 0.4349 0.5583 0.4349 3 3 0.7663 0.6895 0.7663 0.6895 4 2 0.8595 0.6077 0.8595 0.6077 5 2 0.2478 0.2197 0.2478 0.2197 6 3 0.9106 0.1588 0.9106 0.1588 7 2 0.1206 0.8181 0.1206 0.8181 8 4 0.4925 0.8633 0.4925 0.8633 9 4 0.4465 0.1659 0.4465 0.1659 10 1 0.2660 0.5613 0.2660 0.5613 Energy with old centers, new clusters = 0.235770 Energy with new centers, new clusters = 0.235770 1 1 0.7598 0.8585 0.7598 0.8585 2 3 0.5583 0.4349 0.5583 0.4349 3 3 0.7663 0.6895 0.7663 0.6895 4 2 0.8595 0.6077 0.8595 0.6077 5 2 0.2478 0.2197 0.2478 0.2197 6 3 0.9106 0.1588 0.9106 0.1588 7 2 0.1206 0.8181 0.1206 0.8181 8 4 0.4925 0.8633 0.4925 0.8633 9 4 0.4465 0.1659 0.4465 0.1659 10 1 0.2660 0.5613 0.2660 0.5613 Energy table: Number Total Energy Square of Energy per Root Clusters point 1 3.64644 0.145858 0.381913 2 1.87181 0.748724E-01 0.273628 3 1.23493 0.493973E-01 0.222255 4 1.21314 0.485257E-01 0.220286 5 0.665762 0.266305E-01 0.163188 6 0.432933 0.173173E-01 0.131595 7 0.380843 0.152337E-01 0.123425 8 0.285937 0.114375E-01 0.106946 9 0.241706 0.966823E-02 0.983272E-01 10 0.235770 0.943080E-02 0.971123E-01 CLUSTER_ENERGY Normal end of execution. November 29 2022 1:22:39.117 PM