聚类-K均值
Posted yuanzhenliu
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数据来源：http://archive.ics.uci.edu/ml/datasets/seeds
15.26 14.84 0.871 5.763 3.312 2.221 5.22 Kama 14.88 14.57 0.8811 5.554 3.333 1.018 4.956 Kama 14.29 14.09 0.905 5.291 3.337 2.699 4.825 Kama 13.84 13.94 0.8955 5.324 3.379 2.259 4.805 Kama 16.14 14.99 0.9034 5.658 3.562 1.355 5.175 Kama 14.38 14.21 0.8951 5.386 3.312 2.462 4.956 Kama 14.69 14.49 0.8799 5.563 3.259 3.586 5.219 Kama 14.11 14.1 0.8911 5.42 3.302 2.7 5.0 Kama 16.63 15.46 0.8747 6.053 3.465 2.04 5.877 Kama 16.44 15.25 0.888 5.884 3.505 1.969 5.533 Kama 15.26 14.85 0.8696 5.714 3.242 4.543 5.314 Kama 14.03 14.16 0.8796 5.438 3.201 1.717 5.001 Kama 13.89 14.02 0.888 5.439 3.199 3.986 4.738 Kama 13.78 14.06 0.8759 5.479 3.156 3.136 4.872 Kama 13.74 14.05 0.8744 5.482 3.114 2.932 4.825 Kama 14.59 14.28 0.8993 5.351 3.333 4.185 4.781 Kama 13.99 13.83 0.9183 5.119 3.383 5.234 4.781 Kama 15.69 14.75 0.9058 5.527 3.514 1.599 5.046 Kama 14.7 14.21 0.9153 5.205 3.466 1.767 4.649 Kama 12.72 13.57 0.8686 5.226 3.049 4.102 4.914 Kama 14.16 14.4 0.8584 5.658 3.129 3.072 5.176 Kama 14.11 14.26 0.8722 5.52 3.168 2.688 5.219 Kama 15.88 14.9 0.8988 5.618 3.507 0.7651 5.091 Kama 12.08 13.23 0.8664 5.099 2.936 1.415 4.961 Kama 15.01 14.76 0.8657 5.789 3.245 1.791 5.001 Kama 16.19 15.16 0.8849 5.833 3.421 0.903 5.307 Kama 13.02 13.76 0.8641 5.395 3.026 3.373 4.825 Kama 12.74 13.67 0.8564 5.395 2.956 2.504 4.869 Kama 14.11 14.18 0.882 5.541 3.221 2.754 5.038 Kama 13.45 14.02 0.8604 5.516 3.065 3.531 5.097 Kama 13.16 13.82 0.8662 5.454 2.975 0.8551 5.056 Kama 15.49 14.94 0.8724 5.757 3.371 3.412 5.228 Kama 14.09 14.41 0.8529 5.717 3.186 3.92 5.299 Kama 13.94 14.17 0.8728 5.585 3.15 2.124 5.012 Kama 15.05 14.68 0.8779 5.712 3.328 2.129 5.36 Kama 16.12 15.0 0.9 5.709 3.485 2.27 5.443 Kama 16.2 15.27 0.8734 5.826 3.464 2.823 5.527 Kama 17.08 15.38 0.9079 5.832 3.683 2.956 5.484 Kama 14.8 14.52 0.8823 5.656 3.288 3.112 5.309 Kama 14.28 14.17 0.8944 5.397 3.298 6.685 5.001 Kama 13.54 13.85 0.8871 5.348 3.156 2.587 5.178 Kama 13.5 13.85 0.8852 5.351 3.158 2.249 5.176 Kama 13.16 13.55 0.9009 5.138 3.201 2.461 4.783 Kama 15.5 14.86 0.882 5.877 3.396 4.711 5.528 Kama 15.11 14.54 0.8986 5.579 3.462 3.128 5.18 Kama 13.8 14.04 0.8794 5.376 3.155 1.56 4.961 Kama 15.36 14.76 0.8861 5.701 3.393 1.367 5.132 Kama 14.99 14.56 0.8883 5.57 3.377 2.958 5.175 Kama 14.79 14.52 0.8819 5.545 3.291 2.704 5.111 Kama 14.86 14.67 0.8676 5.678 3.258 2.129 5.351 Kama 14.43 14.4 0.8751 5.585 3.272 3.975 5.144 Kama 15.78 14.91 0.8923 5.674 3.434 5.593 5.136 Kama 14.49 14.61 0.8538 5.715 3.113 4.116 5.396 Kama 14.33 14.28 0.8831 5.504 3.199 3.328 5.224 Kama 14.52 14.6 0.8557 5.741 3.113 1.481 5.487 Kama 15.03 14.77 0.8658 5.702 3.212 1.933 5.439 Kama 14.46 14.35 0.8818 5.388 3.377 2.802 5.044 Kama 14.92 14.43 0.9006 5.384 3.412 1.142 5.088 Kama 15.38 14.77 0.8857 5.662 3.419 1.999 5.222 Kama 12.11 13.47 0.8392 5.159 3.032 1.502 4.519 Kama 11.42 12.86 0.8683 5.008 2.85 2.7 4.607 Kama 11.23 12.63 0.884 4.902 2.879 2.269 4.703 Kama 12.36 13.19 0.8923 5.076 3.042 3.22 4.605 Kama 13.22 13.84 0.868 5.395 3.07 4.157 5.088 Kama 12.78 13.57 0.8716 5.262 3.026 1.176 4.782 Kama 12.88 13.5 0.8879 5.139 3.119 2.352 4.607 Kama 14.34 14.37 0.8726 5.63 3.19 1.313 5.15 Kama 14.01 14.29 0.8625 5.609 3.158 2.217 5.132 Kama 14.37 14.39 0.8726 5.569 3.153 1.464 5.3 Kama 12.73 13.75 0.8458 5.412 2.882 3.533 5.067 Kama 17.63 15.98 0.8673 6.191 3.561 4.076 6.06 Rosa 16.84 15.67 0.8623 5.998 3.484 4.675 5.877 Rosa 17.26 15.73 0.8763 5.978 3.594 4.539 5.791 Rosa 19.11 16.26 0.9081 6.154 3.93 2.936 6.079 Rosa 16.82 15.51 0.8786 6.017 3.486 4.004 5.841 Rosa 16.77 15.62 0.8638 5.927 3.438 4.92 5.795 Rosa 17.32 15.91 0.8599 6.064 3.403 3.824 5.922 Rosa 20.71 17.23 0.8763 6.579 3.814 4.451 6.451 Rosa 18.94 16.49 0.875 6.445 3.639 5.064 6.362 Rosa 17.12 15.55 0.8892 5.85 3.566 2.858 5.746 Rosa 16.53 15.34 0.8823 5.875 3.467 5.532 5.88 Rosa 18.72 16.19 0.8977 6.006 3.857 5.324 5.879 Rosa 20.2 16.89 0.8894 6.285 3.864 5.173 6.187 Rosa 19.57 16.74 0.8779 6.384 3.772 1.472 6.273 Rosa 19.51 16.71 0.878 6.366 3.801 2.962 6.185 Rosa 18.27 16.09 0.887 6.173 3.651 2.443 6.197 Rosa 18.88 16.26 0.8969 6.084 3.764 1.649 6.109 Rosa 18.98 16.66 0.859 6.549 3.67 3.691 6.498 Rosa 21.18 17.21 0.8989 6.573 4.033 5.78 6.231 Rosa 20.88 17.05 0.9031 6.45 4.032 5.016 6.321 Rosa 20.1 16.99 0.8746 6.581 3.785 1.955 6.449 Rosa 18.76 16.2 0.8984 6.172 3.796 3.12 6.053 Rosa 18.81 16.29 0.8906 6.272 3.693 3.237 6.053 Rosa 18.59 16.05 0.9066 6.037 3.86 6.001 5.877 Rosa 18.36 16.52 0.8452 6.666 3.485 4.933 6.448 Rosa 16.87 15.65 0.8648 6.139 3.463 3.696 5.967 Rosa 19.31 16.59 0.8815 6.341 3.81 3.477 6.238 Rosa 18.98 16.57 0.8687 6.449 3.552 2.144 6.453 Rosa 18.17 16.26 0.8637 6.271 3.512 2.853 6.273 Rosa 18.72 16.34 0.881 6.219 3.684 2.188 6.097 Rosa 16.41 15.25 0.8866 5.718 3.525 4.217 5.618 Rosa 17.99 15.86 0.8992 5.89 3.694 2.068 5.837 Rosa 19.46 16.5 0.8985 6.113 3.892 4.308 6.009 Rosa 19.18 16.63 0.8717 6.369 3.681 3.357 6.229 Rosa 18.95 16.42 0.8829 6.248 3.755 3.368 6.148 Rosa 18.83 16.29 0.8917 6.037 3.786 2.553 5.879 Rosa 18.85 16.17 0.9056 6.152 3.806 2.843 6.2 Rosa 17.63 15.86 0.88 6.033 3.573 3.747 5.929 Rosa 19.94 16.92 0.8752 6.675 3.763 3.252 6.55 Rosa 18.55 16.22 0.8865 6.153 3.674 1.738 5.894 Rosa 18.45 16.12 0.8921 6.107 3.769 2.235 5.794 Rosa 19.38 16.72 0.8716 6.303 3.791 3.678 5.965 Rosa 19.13 16.31 0.9035 6.183 3.902 2.109 5.924 Rosa 19.14 16.61 0.8722 6.259 3.737 6.682 6.053 Rosa 20.97 17.25 0.8859 6.563 3.991 4.677 6.316 Rosa 19.06 16.45 0.8854 6.416 3.719 2.248 6.163 Rosa 18.96 16.2 0.9077 6.051 3.897 4.334 5.75 Rosa 19.15 16.45 0.889 6.245 3.815 3.084 6.185 Rosa 18.89 16.23 0.9008 6.227 3.769 3.639 5.966 Rosa 20.03 16.9 0.8811 6.493 3.857 3.063 6.32 Rosa 20.24 16.91 0.8897 6.315 3.962 5.901 6.188 Rosa 18.14 16.12 0.8772 6.059 3.563 3.619 6.011 Rosa 16.17 15.38 0.8588 5.762 3.387 4.286 5.703 Rosa 18.43 15.97 0.9077 5.98 3.771 2.984 5.905 Rosa 15.99 14.89 0.9064 5.363 3.582 3.336 5.144 Rosa 18.75 16.18 0.8999 6.111 3.869 4.188 5.992 Rosa 18.65 16.41 0.8698 6.285 3.594 4.391 6.102 Rosa 17.98 15.85 0.8993 5.979 3.687 2.257 5.919 Rosa 20.16 17.03 0.8735 6.513 3.773 1.91 6.185 Rosa 17.55 15.66 0.8991 5.791 3.69 5.366 5.661 Rosa 18.3 15.89 0.9108 5.979 3.755 2.837 5.962 Rosa 18.94 16.32 0.8942 6.144 3.825 2.908 5.949 Rosa 15.38 14.9 0.8706 5.884 3.268 4.462 5.795 Rosa 16.16 15.33 0.8644 5.845 3.395 4.266 5.795 Rosa 15.56 14.89 0.8823 5.776 3.408 4.972 5.847 Rosa 15.38 14.66 0.899 5.477 3.465 3.6 5.439 Rosa 17.36 15.76 0.8785 6.145 3.574 3.526 5.971 Rosa 15.57 15.15 0.8527 5.92 3.231 2.64 5.879 Rosa 15.6 15.11 0.858 5.832 3.286 2.725 5.752 Rosa 16.23 15.18 0.885 5.872 3.472 3.769 5.922 Rosa 13.07 13.92 0.848 5.472 2.994 5.304 5.395 Canadian 13.32 13.94 0.8613 5.541 3.073 7.035 5.44 Canadian 13.34 13.95 0.862 5.389 3.074 5.995 5.307 Canadian 12.22 13.32 0.8652 5.224 2.967 5.469 5.221 Canadian 11.82 13.4 0.8274 5.314 2.777 4.471 5.178 Canadian 11.21 13.13 0.8167 5.279 2.687 6.169 5.275 Canadian 11.43 13.13 0.8335 5.176 2.719 2.221 5.132 Canadian 12.49 13.46 0.8658 5.267 2.967 4.421 5.002 Canadian 12.7 13.71 0.8491 5.386 2.911 3.26 5.316 Canadian 10.79 12.93 0.8107 5.317 2.648 5.462 5.194 Canadian 11.83 13.23 0.8496 5.263 2.84 5.195 5.307 Canadian 12.01 13.52 0.8249 5.405 2.776 6.992 5.27 Canadian 12.26 13.6 0.8333 5.408 2.833 4.756 5.36 Canadian 11.18 13.04 0.8266 5.22 2.693 3.332 5.001 Canadian 11.36 13.05 0.8382 5.175 2.755 4.048 5.263 Canadian 11.19 13.05 0.8253 5.25 2.675 5.813 5.219 Canadian 11.34 12.87 0.8596 5.053 2.849 3.347 5.003 Canadian 12.13 13.73 0.8081 5.394 2.745 4.825 5.22 Canadian 11.75 13.52 0.8082 5.444 2.678 4.378 5.31 Canadian 11.49 13.22 0.8263 5.304 2.695 5.388 5.31 Canadian 12.54 13.67 0.8425 5.451 2.879 3.082 5.491 Canadian 12.02 13.33 0.8503 5.35 2.81 4.271 5.308 Canadian 12.05 13.41 0.8416 5.267 2.847 4.988 5.046 Canadian 12.55 13.57 0.8558 5.333 2.968 4.419 5.176 Canadian 11.14 12.79 0.8558 5.011 2.794 6.388 5.049 Canadian 12.1 13.15 0.8793 5.105 2.941 2.201 5.056 Canadian 12.44 13.59 0.8462 5.319 2.897 4.924 5.27 Canadian 12.15 13.45 0.8443 5.417 2.837 3.638 5.338 Canadian 11.35 13.12 0.8291 5.176 2.668 4.337 5.132 Canadian 11.24 13.0 0.8359 5.09 2.715 3.521 5.088 Canadian 11.02 13.0 0.8189 5.325 2.701 6.735 5.163 Canadian 11.55 13.1 0.8455 5.167 2.845 6.715 4.956 Canadian 11.27 12.97 0.8419 5.088 2.763 4.309 5.0 Canadian 11.4 13.08 0.8375 5.136 2.763 5.588 5.089 Canadian 10.83 12.96 0.8099 5.278 2.641 5.182 5.185 Canadian 10.8 12.57 0.859 4.981 2.821 4.773 5.063 Canadian 11.26 13.01 0.8355 5.186 2.71 5.335 5.092 Canadian 10.74 12.73 0.8329 5.145 2.642 4.702 4.963 Canadian 11.48 13.05 0.8473 5.18 2.758 5.876 5.002 Canadian 12.21 13.47 0.8453 5.357 2.893 1.661 5.178 Canadian 11.41 12.95 0.856 5.09 2.775 4.957 4.825 Canadian 12.46 13.41 0.8706 5.236 3.017 4.987 5.147 Canadian 12.19 13.36 0.8579 5.24 2.909 4.857 5.158 Canadian 11.65 13.07 0.8575 5.108 2.85 5.209 5.135 Canadian 12.89 13.77 0.8541 5.495 3.026 6.185 5.316 Canadian 11.56 13.31 0.8198 5.363 2.683 4.062 5.182 Canadian 11.81 13.45 0.8198 5.413 2.716 4.898 5.352 Canadian 10.91 12.8 0.8372 5.088 2.675 4.179 4.956 Canadian 11.23 12.82 0.8594 5.089 2.821 7.524 4.957 Canadian 10.59 12.41 0.8648 4.899 2.787 4.975 4.794 Canadian 10.93 12.8 0.839 5.046 2.717 5.398 5.045 Canadian 11.27 12.86 0.8563 5.091 2.804 3.985 5.001 Canadian 11.87 13.02 0.8795 5.132 2.953 3.597 5.132 Canadian 10.82 12.83 0.8256 5.18 2.63 4.853 5.089 Canadian 12.11 13.27 0.8639 5.236 2.975 4.132 5.012 Canadian 12.8 13.47 0.886 5.16 3.126 4.873 4.914 Canadian 12.79 13.53 0.8786 5.224 3.054 5.483 4.958 Canadian 13.37 13.78 0.8849 5.32 3.128 4.67 5.091 Canadian 12.62 13.67 0.8481 5.41 2.911 3.306 5.231 Canadian 12.76 13.38 0.8964 5.073 3.155 2.828 4.83 Canadian 12.38 13.44 0.8609 5.219 2.989 5.472 5.045 Canadian 12.67 13.32 0.8977 4.984 3.135 2.3 4.745 Canadian 11.18 12.72 0.868 5.009 2.81 4.051 4.828 Canadian 12.7 13.41 0.8874 5.183 3.091 8.456 5.0 Canadian 12.37 13.47 0.8567 5.204 2.96 3.919 5.001 Canadian 12.19 13.2 0.8783 5.137 2.981 3.631 4.87 Canadian 11.23 12.88 0.8511 5.14 2.795 4.325 5.003 Canadian 13.2 13.66 0.8883 5.236 3.232 8.315 5.056 Canadian 11.84 13.21 0.8521 5.175 2.836 3.598 5.044 Canadian 12.3 13.34 0.8684 5.243 2.974 5.637 5.063 Canadian
聚类方法：K-均值
实现语言：java
输入：样本集seed={X1,X2...Xn}
聚类数目：k =3;
过程：
首先用zscore()函数对数据集进行标准化 Xi = (Xi - μ)/σ (μ 为算数均值, σ 为标准差;
从样本中随机抽取k个数据作为初始均值向量{μ1,μ2,...,μk}
repeat:
令Ci =Φ (1 ≤ i ≤ k )
for i=1,2,...,n do
计算样本 Xi 与各均值向量的距离，并把它加入到离它最近的均值向量所在的集合中;
end for
for i =1,2,...,k do
计算每个集合中所有元素的均值向量 μ′i;
if μ′i ≠ μi
μi = μ′i
else
不用更新;
end if
end for
until 当前均值向量均未更新
输出：簇分类 C = {C1,C2,...Ck}
程序代码：
import java.io.BufferedInputStream;
import java.io.File;
import java.io.FileInputStream;
import java.io.FileNotFoundException;
import java.io.IOException;
import java.io.InputStream;
import java.util.ArrayList;
import java.util.Scanner;
import java.util.Set;
import java.util.HashSet;
public class KCluster{
static float[][] seed;
static String[] kind;
static int n;
static float e = (float) 1.0E-20;//0.000000001;-17
KCluster() throws IOException{
File file = new File("seeds.txt");
n = countLines(file);
seed = new float[n][7];
kind = new String[n];
Scanner sc=new Scanner(file);
for(int i=0;i<n;i++){
for(int j=0;j<7;j++){
seed[i][j] = sc.nextFloat();
}
kind[i] = sc.next();
}
sc.close();
zscore(seed);//标准化
}
public static void main(String[] args) throws FileNotFoundException,IOException{
new KCluster();
int k=3;
float [][] sample =new float[k][]; //存放初始均值向量
ArrayList<Set<Integer>> set = new ArrayList<Set<Integer>>();
for(int i=0;i<k;i++){ //从n组数据随机取出k组
sample[i] = seed[(int)(Math.random()*(n))];
set.add(new HashSet<Integer>());
}
float d;
int tag; //簇标记
Boolean flag; //标记均值向量是否更新
do{
flag =true;
for(int i=0;i<k;i++){
set.get(i).clear();
}
for(int i=0;i<n;i++){ //按距离最近确定每组数据的簇标记
d = distance(seed[i],sample[0]);
tag =0;
for(int j =1;j<k;j++){
if(distance(seed[i],sample[j])<d){
d=distance(seed[i],sample[j]);
tag=j;
}
}
set.get(tag).add(i);
}
//计算新的均值向量
for(int i=0;i<k;i++){
float[] sam = new float[7];
for(int j=0;j<7;j++){
sam[j] = sample[i][j];
sample[i][j]=0;
}
int size = set.get(i).size();
for(Integer each:set.get(i)){
float[] temp = seed[each];
for(int l=0;l<7;l++){
sample[i][l] +=temp[l];
}
}
for(int j =0;j<7;j++){
sample[i][j] /= size;
}
for(int j=0;j<7;j++){
if(sam[j] - sample[i][j] > e){
flag = false;
break;
}
}
}
}while(!flag);
showset(set);
show(set);
}
public static int countLines(File file)throws IOException{
byte[] buff = new byte[1024];
InputStream in =new BufferedInputStream(new FileInputStream(file));
int count =0;
int num=0;
Boolean flag =false;
while((num=in.read(buff))!=-1){
flag = true;
for(int i=0;i<num;i++){
if(buff[i]==\'\\n\'){
count++;
}
}
}
in.close();
count = (count==0&&!flag)?0:count+1;
return count;
}
public static float distance(float[] a,float[] b){
if(a.length!=b.length){
return -1;
}
float s=0 ;
for(int i=0;i<a.length;i++){
s += (a[i]-b[i])*(a[i]-b[i]);
}
s = (float)Math.sqrt(s);
return s;
}
public static void show(ArrayList<Set<Integer>> set){
for(int i=0;i<set.size();i++){
for(Integer each:set.get(i)){
for(int j=0;j<7;j++){
System.out.print(seed[each][j]+"\\t");
}
System.out.println(kind[each]);
}
System.out.println();
}
}
public static void showset(ArrayList<Set<Integer>> set){
for(int i=0;i<set.size();i++){
System.out.println("|C"+(i+1)+"| = "+set.get(i).size());
System.out.print("C"+(i+1)+" = { ");
for(Integer each:set.get(i)){
System.out.print(each+",");
}
System.out.println(" }");
}
}
public static void zscore(float[][] a){
float[] x = new float[7];
float[] s = new float[7];
for(int i=0;i<n;i++){
for(int j =0;j<7;j++){
x[j] += seed[i][j];
}
}
for(int i=0;i<7;i++){
x[i] /= n;
}
for(int i=0;i<n;i++){
for(int j=0;j<7;j++){
s[j] += (seed[i][j] - x[j])*(seed[i][j] - x[j]);
}
}
for(int i=0;i<7;i++){
s[i] = (float)Math.sqrt(s[i]/n);
}
for(int i=0;i<n;i++){
for(int j=0;j<7;j++){
seed[i][j] = (seed[i][j] - x[j])/s[j];
}
}
}
}
运行结果：
|C1| = 79 C1 = { 10,140,141,142,143,144,145,146,19,147,148,149,150,151,152,153,26,154,27,155,156,29,157,158,159,32,160,161,162,163,164,166,39,167,168,169,170,171,172,173,174,175,176,177,178,179,52,180,181,182,183,184,185,186,59,187,60,188,189,190,63,191,192,193,194,195,196,69,197,198,200,202,203,204,205,206,207,208,209, } |C2| = 74 C2 = { 128,129,130,131,132,133,134,8,136,9,137,138,139,36,37,43,51,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,125,126,127, } |C3| = 57 C3 = { 0,1,2,3,4,5,6,7,11,12,13,14,15,16,17,18,20,21,22,23,24,25,28,30,31,33,34,35,38,40,41,42,44,45,46,47,48,49,50,53,54,55,56,57,58,61,62,64,65,66,67,68,124,135,165,199,201, } 0.14209792 0.22313938 -0.059333883 0.19336289 -0.04406783 0.5618759 -0.19185953 Kama -0.61235595 -0.49068293 -0.9756335 -0.35413957 -0.7022178 1.0692182 -0.026657853 Canadian -0.5262311 -0.4753323 -0.41143063 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Kama 0.09042282 -0.014801636 1.1708821 -0.112062424 0.539774 -0.38147452 -0.46515724 Kama -0.36087123 -0.39857695 0.3563952 -0.57133096 -0.2749513 -1.4268267 -0.91181415 Kama 0.17654766 0.1540597 0.6406168 0.16395159 0.35665977 -1.5554955 -0.5630544 Kama 0.049082924 5.4972694E-4 0.7339439 -0.13242368 0.31419906 -0.49480993 -0.47535414 Kama -0.2662448 -0.35447562 0.97823554 -0.5559159 0.041497223 -1.4086937 -1.1729264 Kama 0.0042979633 0.084980026 -0.14417532 0.11191571 -0.0016071142 -1.0474865 -0.1163975 Kama -0.14383656 -0.12225898 0.17398386 -0.09848789 0.035546962 0.18320222 -0.5385799 Kama -0.17828663 -0.21436496 0.5133521 -0.28174242 -0.15818307 -0.24813876 -0.3754176 Kama -0.112831555 0.03125172 -0.64898866 0.25444773 -0.38641226 -1.4794943 0.16097897 Kama 0.06286289 0.16173539 -0.22053362 0.16621383 -0.12368326 -1.1781555 0.06308179 Kama -0.13350166 -0.16063593 0.45820543 -0.54418194 0.31419906 -0.59881175 -0.74253273 Kama 0.024968073 -0.099231936 1.2557261 -0.55323195 0.40708265 -1.7054983 -0.65279406 Kama 0.18343781 0.16173539 0.623648 0.07571768 0.4256594 -1.1341548 -0.37949634 Kama -1.2462349 -1.4808232 0.55153257 -1.6437113 -1.0074081 -0.95415145 -1.4380128 Kama -0.8569505 -1.0509952 0.9036293 -1.2500521 -0.57483375 -0.32014006 -1.6378869 Kama -0.7122608 -0.7593259 0.025507553 -0.8292449 -0.6172951 -1.6828312 -1.2768899 Kama -0.67781067 -0.8130542 0.7169751 -1.1075212 -0.37048918 -0.8988172 -1.6338081 Kama -0.17484155 -0.1452853 0.067930795 0.003320544 -0.18206705 -1.5914962 -0.52634263 Kama -0.28852633 -0.20668928 -0.36052427 -0.044189773 -0.26698977 -0.98881876 -0.5630544 Kama -0.16450666 -0.12993394 0.067930795 -0.134687 -0.28025857 -1.4908278 -0.22041282 Kama 0.3935823 0.25384137 1.5017698 -0.6007423 0.8582338 -0.24280539 -0.5385799 Rosa 0.18343781 0.07730435 1.1878508 -0.3428273 0.5477355 -0.06680227 0.06308179 Rosa -0.94652015 -1.0816972 0.35215238 -1.1844428 -0.84287065 -0.9994857 -0.71805817 Canadian -0.7191506 -0.9051602 1.077555 -1.2568399 -0.2749513 -0.58147806 -1.1789927 Canadian -0.75015557 -0.95121354 1.1327043 -1.4581934 -0.3280278 -0.9334845 -1.3523529 Canadian
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