5-5 用TSNE进行数据降维并展示聚类结果
Python3.5下
Pycharm中使用Ipython运行K-means.py(数据集在文末附录中)
#使用K-Means算法聚类消费行为特征数据
import pandas as pd
#参数初始化
if __name__ == '__main__':inputfile = './consumption_data.xls' #销量及其他属性数据outputfile = './data_type.xls' #保存结果的文件名k = 3 #聚类的类别iteration = 500 #聚类最大循环次数data = pd.read_excel(inputfile, index_col = 'Id') #读取数据data_zs = 1.0*(data - data.mean())/data.std() #数据标准化from sklearn.cluster import KMeansmodel = KMeans(n_clusters = k, n_jobs = 4, max_iter = iteration) #分为k类,并发数4model.fit(data_zs) #开始聚类#简单打印结果r1 = pd.Series(model.labels_).value_counts() #统计各个类别的数目r2 = pd.DataFrame(model.cluster_centers_) #找出聚类中心r = pd.concat([r2, r1], axis = 1) #横向连接(0是纵向),得到聚类中心对应的类别下的数目r.columns = list(data.columns) + [u'类别数目'] #重命名表头print(r)#详细输出原始数据及其类别r = pd.concat([data, pd.Series(model.labels_, index = data.index)], axis = 1) #详细输出每个样本对应的类别r.columns = list(data.columns) + [u'聚类类别'] #重命名表头r.to_excel(outputfile) #保存结果def density_plot(data): #自定义作图函数import matplotlib.pyplot as pltplt.rcParams['font.sans-serif'] = ['SimHei'] #用来正常显示中文标签plt.rcParams['axes.unicode_minus'] = False #用来正常显示负号p = data.plot(kind='kde', linewidth = 2, subplots = True, sharex = False)[p[i].set_ylabel(u'密度') for i in range(k)]plt.legend()return pltpic_output = './' #概率密度图文件名前缀for i in range(k):density_plot(data[r[u'聚类类别']==i]).savefig(u'%s%s.png' %(pic_output, i))
以上代码在Ipython中运行结束后,然后在Ipython中贴下面的代码运行(代码不要贴在Pycharm的编辑器中运行,那样运行不了):
#接k_means.py
from sklearn.manifold import TSNEtsne = TSNE()
tsne.fit_transform(data_zs) #进行数据降维
print("降低维度后的数据是",tsne.values)
tsne = pd.DataFrame(tsne.embedding_, index = data_zs.index) #转换数据格式
import matplotlib.pyplot as plt
plt.rcParams['font.sans-serif'] = ['SimHei'] #用来正常显示中文标签
plt.rcParams['axes.unicode_minus'] = False #用来正常显示负号
#不同类别用不同颜色和样式绘图
d = tsne[r[u'聚类类别'] == 0]
plt.plot(d[0], d[1], 'r.')
d = tsne[r[u'聚类类别'] == 1]
plt.plot(d[0], d[1], 'go')
d = tsne[r[u'聚类类别'] == 2]
plt.plot(d[0], d[1], 'b*')
plt.show()
# 第0类是红色的,图中的形状是小数点
# 第1类是绿色的,图中的形状是小写英文字母o
# 第2类是蓝色的,图中的形状是*
上述结果每次运行都不一样,所以如果想要复现,需要固定随机数种子。
如何解释上述结果?
首先获取tsne的结果,代码是:
print(tsne.values)
得到:
array([[ 20.876358 , 17.261963 ],[-27.484392 , 12.656176 ],[ 23.45644 , -28.271107 ],...,[ -0.50676364, 0.3249685 ],[ 0.55632466, 9.019595 ],[ 1.1041971 , 19.157196 ]], dtype=float32)
所以图中的结果是降维后的矩阵(940,2)在二维坐标系上的绘制。
---------------------------------------------附录--------------------------------------------------------------
consumption_data.xls内容如下:
注意上面读取excel时采用绝对路径,数据如下:
Id | R | F | M |
1 | 27 | 6 | 232.61 |
2 | 3 | 5 | 1507.11 |
3 | 4 | 16 | 817.62 |
4 | 3 | 11 | 232.81 |
5 | 14 | 7 | 1913.05 |
6 | 19 | 6 | 220.07 |
7 | 5 | 2 | 615.83 |
8 | 26 | 2 | 1059.66 |
9 | 21 | 9 | 304.82 |
10 | 2 | 21 | 1227.96 |
11 | 15 | 2 | 521.02 |
12 | 26 | 3 | 438.22 |
13 | 17 | 11 | 1744.55 |
14 | 30 | 16 | 1957.44 |
15 | 5 | 7 | 1713.79 |
16 | 4 | 21 | 1768.11 |
17 | 93 | 2 | 1016.34 |
18 | 16 | 3 | 950.36 |
19 | 4 | 1 | 754.93 |
20 | 27 | 1 | 294.23 |
21 | 5 | 1 | 195.3 |
22 | 17 | 3 | 1845.34 |
23 | 12 | 13 | 1434.29 |
24 | 21 | 3 | 275.85 |
25 | 18 | 5 | 449.76 |
26 | 30 | 21 | 1628.68 |
27 | 4 | 2 | 1795.41 |
28 | 7 | 12 | 1786.24 |
29 | 18 | 1 | 679.44 |
30 | 60 | 7 | 5318.81 |
31 | 4 | 22 | 873.68 |
32 | 16 | 1 | 654.69 |
33 | 3 | 2 | 230.37 |
34 | 14 | 11 | 1165.68 |
35 | 13 | 21 | 1276.31 |
36 | 10 | 16 | 334.21 |
37 | 5 | 5 | 759.19 |
38 | 1 | 1 | 1383.39 |
39 | 24 | 8 | 3280.77 |
40 | 19 | 4 | 154.65 |
41 | 9 | 1 | 501.38 |
42 | 1 | 24 | 1721.93 |
43 | 14 | 1 | 107.18 |
44 | 10 | 1 | 973.36 |
45 | 10 | 17 | 764.55 |
46 | 7 | 6 | 1251.4 |
47 | 23 | 11 | 923.28 |
48 | 15 | 1 | 1011.18 |
49 | 1 | 15 | 1847.61 |
50 | 3 | 21 | 1669.46 |
51 | 10 | 3 | 1758.05 |
52 | 30 | 8 | 1865.99 |
53 | 28 | 8 | 1791.44 |
54 | 4 | 15 | 874.6 |
55 | 24 | 5 | 557.17 |
56 | 16 | 2 | 1025.35 |
57 | 7 | 2 | 1261.47 |
58 | 66 | 4 | 2920.81 |
59 | 4 | 2 | 1266.02 |
60 | 21 | 11 | 626.37 |
61 | 6 | 4 | 1105.63 |
62 | 26 | 21 | 1465.58 |
63 | 8 | 21 | 630.74 |
64 | 26 | 2 | 1546.45 |
65 | 14 | 11 | 1577.91 |
66 | 17 | 6 | 170.16 |
67 | 20 | 5 | 1558.75 |
68 | 5 | 5 | 1272.06 |
69 | 26 | 3 | 111.02 |
70 | 15 | 7 | 1578.37 |
71 | 26 | 24 | 720.26 |
72 | 25 | 16 | 873.22 |
73 | 4 | 7 | 935.19 |
74 | 23 | 11 | 723.67 |
75 | 15 | 9 | 1833.01 |
76 | 6 | 3 | 681.26 |
77 | 78 | 11 | 1461.63 |
78 | 15 | 17 | 560.57 |
79 | 9 | 18 | 1761.19 |
80 | 8 | 7 | 1707.25 |
81 | 28 | 2 | 227.14 |
82 | 22 | 3 | 223.57 |
83 | 8 | 6 | 940.46 |
84 | 23 | 6 | 256.3 |
85 | 5 | 1 | 312.44 |
86 | 15 | 14 | 929.52 |
87 | 27 | 15 | 1296.66 |
88 | 22 | 11 | 591.62 |
89 | 2 | 2 | 755.72 |
90 | 18 | 17 | 1424.07 |
91 | 61 | 8 | 940.93 |
92 | 3 | 7 | 414.24 |
93 | 1 | 14 | 576.56 |
94 | 12 | 22 | 1037.14 |
95 | 26 | 5 | 1200.17 |
96 | 1 | 3 | 1727.36 |
97 | 13 | 16 | 503.71 |
98 | 19 | 7 | 703.36 |
99 | 12 | 17 | 1583.05 |
100 | 3 | 18 | 602.9 |
101 | 5 | 1 | 798.41 |
102 | 25 | 7 | 1202.09 |
103 | 85 | 4 | 1605.36 |
104 | 28 | 21 | 1222.34 |
105 | 25 | 19 | 593.17 |
106 | 8 | 6 | 94.75 |
107 | 14 | 1 | 89.7 |
108 | 21 | 15 | 1061.56 |
109 | 29 | 15 | 978.85 |
110 | 14 | 3 | 155.9 |
111 | 20 | 5 | 938.15 |
112 | 3 | 24 | 1477.97 |
113 | 10 | 6 | 1976.23 |
114 | 8 | 5 | 181.17 |
115 | 17 | 4 | 499.65 |
116 | 49 | 1 | 76.22 |
117 | 13 | 11 | 267.1 |
118 | 23 | 1 | 137.62 |
119 | 65 | 5 | 1383.47 |
120 | 20 | 22 | 1311.2 |
121 | 22 | 13 | 496.61 |
122 | 21 | 6 | 1921.8 |
123 | 14 | 11 | 304.1 |
124 | 26 | 1 | 468.09 |
125 | 27 | 9 | 432.67 |
126 | 30 | 1 | 368.35 |
127 | 11 | 4 | 759.69 |
128 | 26 | 3 | 1110.81 |
129 | 28 | 1 | 53 |
130 | 39 | 11 | 1314.21 |
131 | 11 | 6 | 1895.95 |
132 | 23 | 1 | 417.23 |
133 | 3 | 2 | 679.58 |
134 | 5 | 1 | 533.97 |
135 | 24 | 8 | 1134.64 |
136 | 25 | 6 | 825.39 |
137 | 10 | 6 | 165.39 |
138 | 29 | 9 | 1234.64 |
139 | 80 | 11 | 1829.32 |
140 | 23 | 1 | 89 |
141 | 4 | 2 | 1557.88 |
142 | 3 | 8 | 1328.01 |
143 | 15 | 7 | 304.65 |
144 | 17 | 23 | 1505.55 |
145 | 16 | 7 | 711.1 |
146 | 16 | 1 | 539.76 |
147 | 5 | 1 | 65.83 |
148 | 16 | 3 | 776.21 |
149 | 22 | 18 | 1820.61 |
150 | 19 | 4 | 1997 |
151 | 4 | 22 | 1846.69 |
152 | 23 | 7 | 1252.41 |
153 | 7 | 13 | 987.17 |
154 | 3 | 6 | 1130.03 |
155 | 18 | 1 | 148.32 |
156 | 28 | 1 | 135.57 |
157 | 6 | 2 | 1641.79 |
158 | 7 | 2 | 242.83 |
159 | 21 | 8 | 1803.02 |
160 | 12 | 12 | 1557.95 |
161 | 25 | 4 | 1494.81 |
162 | 26 | 13 | 1280.06 |
163 | 28 | 1 | 160 |
164 | 22 | 9 | 440.12 |
165 | 14 | 1 | 746.95 |
166 | 12 | 2 | 351.09 |
167 | 6 | 2 | 556.91 |
168 | 7 | 3 | 957.83 |
169 | 16 | 16 | 1212.37 |
170 | 11 | 2 | 946.65 |
171 | 16 | 13 | 1442.68 |
172 | 5 | 12 | 1612.7 |
173 | 0 | 21 | 1281.68 |
174 | 9 | 13 | 1928.8 |
175 | 24 | 7 | 335.35 |
176 | 3 | 8 | 1589.35 |
177 | 20 | 11 | 797.72 |
178 | 17 | 1 | 793.47 |
179 | 13 | 16 | 569.47 |
180 | 10 | 3 | 149.5 |
181 | 17 | 21 | 515.38 |
182 | 8 | 4 | 187.76 |
183 | 20 | 7 | 1441.83 |
184 | 27 | 1 | 121.61 |
185 | 25 | 11 | 934.58 |
186 | 16 | 15 | 591.06 |
187 | 15 | 4 | 951.31 |
188 | 12 | 11 | 914 |
189 | 3 | 22 | 1058 |
190 | 9 | 2 | 1111.51 |
191 | 17 | 9 | 458.52 |
192 | 27 | 18 | 927.59 |
193 | 73 | 1 | 1370.25 |
194 | 17 | 1 | 946.53 |
195 | 10 | 1 | 1474.41 |
196 | 16 | 3 | 1661.03 |
197 | 0 | 9 | 1465.18 |
198 | 17 | 3 | 1813.45 |
199 | 5 | 7 | 772.54 |
200 | 4 | 1 | 172.82 |
201 | 14 | 4 | 552.37 |
202 | 12 | 8 | 946.28 |
203 | 26 | 2 | 651.99 |
204 | 6 | 9 | 857.79 |
205 | 7 | 4 | 1016.55 |
206 | 5 | 6 | 1766.44 |
207 | 25 | 3 | 908.53 |
208 | 28 | 2 | 403.75 |
209 | 25 | 4 | 1270.75 |
210 | 13 | 3 | 1157.92 |
211 | 13 | 1 | 497.09 |
212 | 2 | 1 | 216.78 |
213 | 23 | 16 | 1454.58 |
214 | 2 | 17 | 1027.58 |
215 | 24 | 12 | 722.09 |
216 | 15 | 7 | 282.19 |
217 | 11 | 4 | 106.96 |
218 | 18 | 1 | 999.75 |
219 | 24 | 14 | 1139.33 |
220 | 24 | 5 | 836.72 |
221 | 3 | 2 | 1678.54 |
222 | 3 | 17 | 1337.34 |
223 | 1 | 4 | 1335.77 |
224 | 11 | 2 | 810.2 |
225 | 29 | 11 | 943.9 |
226 | 51 | 12 | 5135.77 |
227 | 6 | 9 | 984.12 |
228 | 6 | 5 | 1413.55 |
229 | 1 | 6 | 381.95 |
230 | 6 | 14 | 788.22 |
231 | 29 | 1 | 80.8 |
232 | 21 | 1 | 611.13 |
233 | 24 | 4 | 1766.35 |
234 | 0 | 2 | 1516.76 |
235 | 9 | 6 | 1925.2 |
236 | 17 | 1 | 344.23 |
237 | 49 | 1 | 204.1 |
238 | 5 | 2 | 1257.59 |
239 | 7 | 3 | 1095.09 |
240 | 2 | 1 | 123.76 |
241 | 3 | 2 | 696.82 |
242 | 26 | 2 | 1487.35 |
243 | 19 | 3 | 1278.43 |
244 | 28 | 14 | 627.97 |
245 | 12 | 1 | 95 |
246 | 14 | 4 | 1827.01 |
247 | 10 | 6 | 754.05 |
248 | 19 | 2 | 922.93 |
249 | 12 | 12 | 257.4 |
250 | 1 | 14 | 676.34 |
251 | 3 | 19 | 984.32 |
252 | 27 | 32 | 1914.06 |
253 | 13 | 4 | 1953.81 |
254 | 1 | 4 | 768.02 |
255 | 61 | 13 | 1379.86 |
256 | 42 | 1 | 1054.24 |
257 | 21 | 11 | 298.34 |
258 | 17 | 5 | 841.04 |
259 | 8 | 9 | 1757.87 |
260 | 22 | 11 | 1010.7 |
261 | 13 | 6 | 948.83 |
262 | 12 | 24 | 852.95 |
263 | 7 | 7 | 1532.72 |
264 | 11 | 6 | 1891.29 |
265 | 10 | 21 | 1900.33 |
266 | 16 | 13 | 598.84 |
267 | 8 | 21 | 1622.91 |
268 | 21 | 7 | 536.53 |
269 | 66 | 6 | 180.51 |
270 | 18 | 8 | 1751.33 |
271 | 26 | 1 | 1146.43 |
272 | 24 | 6 | 654.8 |
273 | 4 | 3 | 1599.58 |
274 | 14 | 16 | 1317.4 |
275 | 16 | 18 | 1665.03 |
276 | 11 | 17 | 440.21 |
277 | 16 | 3 | 1689.94 |
278 | 3 | 12 | 1163.78 |
279 | 11 | 6 | 664.23 |
280 | 10 | 4 | 1658.4 |
281 | 3 | 8 | 1293.56 |
282 | 59 | 14 | 912.94 |
283 | 25 | 2 | 1265.24 |
284 | 20 | 6 | 1169.96 |
285 | 25 | 3 | 735.19 |
286 | 5 | 6 | 1749.68 |
287 | 17 | 15 | 483.51 |
288 | 23 | 22 | 1436.67 |
289 | 16 | 2 | 1439.93 |
290 | 16 | 1 | 252.12 |
291 | 7 | 14 | 848.68 |
292 | 30 | 9 | 252.98 |
293 | 5 | 2 | 464.9 |
294 | 3 | 2 | 50.14 |
295 | 5 | 5 | 1381.21 |
296 | 23 | 1 | 1606.04 |
297 | 8 | 11 | 309.45 |
298 | 69 | 15 | 1441.57 |
299 | 12 | 8 | 434.36 |
300 | 61 | 6 | 1893.97 |
301 | 16 | 18 | 1391.11 |
302 | 12 | 24 | 1292.14 |
303 | 3 | 6 | 312.33 |
304 | 17 | 24 | 845.68 |
305 | 16 | 6 | 1993.47 |
306 | 22 | 2 | 1414.29 |
307 | 2 | 11 | 472.46 |
308 | 10 | 1 | 1255.44 |
309 | 7 | 12 | 1256.98 |
310 | 15 | 9 | 904.91 |
311 | 8 | 9 | 237.52 |
312 | 7 | 11 | 1143.16 |
313 | 20 | 7 | 805.15 |
314 | 15 | 4 | 1259.42 |
315 | 11 | 7 | 247.64 |
316 | 3 | 1 | 1391.51 |
317 | 12 | 18 | 866.59 |
318 | 71 | 23 | 1127.95 |
319 | 25 | 9 | 1535.08 |
320 | 20 | 13 | 911.15 |
321 | 20 | 5 | 1001.84 |
322 | 10 | 1 | 91.93 |
323 | 15 | 7 | 1172.57 |
324 | 9 | 18 | 1882.22 |
325 | 1 | 19 | 528.68 |
326 | 21 | 11 | 1943.65 |
327 | 28 | 7 | 570.73 |
328 | 5 | 6 | 909.57 |
329 | 12 | 8 | 1406.95 |
330 | 10 | 11 | 1060.91 |
331 | 4 | 1 | 90.67 |
332 | 17 | 15 | 1757.5 |
333 | 65 | 11 | 1082.01 |
334 | 1 | 6 | 1665.49 |
335 | 20 | 17 | 553.53 |
336 | 24 | 18 | 1568.74 |
337 | 24 | 4 | 993.88 |
338 | 9 | 17 | 511.39 |
339 | 12 | 23 | 7149.96 |
340 | 11 | 16 | 1994.53 |
341 | 6 | 13 | 399.26 |
342 | 20 | 7 | 211.93 |
343 | 16 | 2 | 1466.19 |
344 | 29 | 2 | 1185.26 |
345 | 22 | 16 | 1400.35 |
346 | 11 | 1 | 433 |
347 | 10 | 4 | 238.6 |
348 | 22 | 3 | 1393.92 |
349 | 7 | 3 | 720.16 |
350 | 26 | 16 | 1810.43 |
351 | 24 | 6 | 230.28 |
352 | 4 | 4 | 772.84 |
353 | 26 | 1 | 339.03 |
354 | 5 | 19 | 1118.51 |
355 | 1 | 6 | 328.31 |
356 | 21 | 17 | 1385.52 |
357 | 47 | 5 | 169.25 |
358 | 8 | 18 | 1177.91 |
359 | 26 | 12 | 879.69 |
360 | 11 | 3 | 446.58 |
361 | 16 | 1 | 1437.14 |
362 | 13 | 21 | 695.48 |
363 | 27 | 16 | 1715.16 |
364 | 19 | 1 | 1048.5 |
365 | 2 | 17 | 1545.94 |
366 | 22 | 1 | 656.28 |
367 | 15 | 11 | 620.08 |
368 | 16 | 12 | 1111.76 |
369 | 26 | 5 | 1440.3 |
370 | 30 | 11 | 173.89 |
371 | 29 | 9 | 365.41 |
372 | 29 | 19 | 1495.14 |
373 | 7 | 24 | 1456.31 |
374 | 13 | 13 | 1327.45 |
375 | 24 | 1 | 1445.07 |
376 | 20 | 2 | 67.47 |
377 | 15 | 14 | 759.95 |
378 | 8 | 11 | 268.31 |
379 | 44 | 11 | 887.47 |
380 | 8 | 22 | 1970.75 |
381 | 26 | 2 | 335.05 |
382 | 13 | 19 | 419.22 |
383 | 7 | 12 | 494.74 |
384 | 10 | 11 | 1535.51 |
385 | 9 | 1 | 571.11 |
386 | 12 | 1 | 1491.21 |
387 | 12 | 3 | 1385.53 |
388 | 1 | 11 | 1030.93 |
389 | 4 | 4 | 978.71 |
390 | 15 | 1 | 516.33 |
391 | 6 | 24 | 543.75 |
392 | 5 | 4 | 356.23 |
393 | 10 | 18 | 1789.67 |
394 | 24 | 16 | 1978.79 |
395 | 16 | 5 | 434.48 |
396 | 22 | 23 | 1458.64 |
397 | 15 | 1 | 854.1 |
398 | 18 | 13 | 1879.27 |
399 | 8 | 24 | 1901.09 |
400 | 39 | 2 | 1521.44 |
401 | 14 | 13 | 1956.9 |
402 | 12 | 14 | 690.06 |
403 | 1 | 18 | 1157.17 |
404 | 17 | 6 | 600.46 |
405 | 1 | 21 | 1108.49 |
406 | 25 | 23 | 512.01 |
407 | 25 | 11 | 1510.08 |
408 | 27 | 21 | 1255.12 |
409 | 3 | 5 | 1676.56 |
410 | 1 | 17 | 1974.68 |
411 | 28 | 4 | 418.22 |
412 | 1 | 19 | 1577.28 |
413 | 5 | 24 | 1416.82 |
414 | 23 | 9 | 1300.04 |
415 | 12 | 23 | 1206.86 |
416 | 11 | 16 | 1699.1 |
417 | 10 | 19 | 1031.1 |
418 | 8 | 9 | 414.99 |
419 | 58 | 8 | 1262.55 |
420 | 18 | 4 | 1254.34 |
421 | 7 | 1 | 1103.45 |
422 | 8 | 14 | 1802.11 |
423 | 0 | 2 | 387.24 |
424 | 19 | 22 | 1204.62 |
425 | 27 | 19 | 1058.39 |
426 | 22 | 1 | 696.37 |
427 | 12 | 7 | 1055.71 |
428 | 2 | 14 | 1649.81 |
429 | 27 | 19 | 1293.73 |
430 | 20 | 16 | 1517.39 |
431 | 28 | 3 | 1497.35 |
432 | 4 | 9 | 399.02 |
433 | 6 | 1 | 1598.45 |
434 | 0 | 18 | 1300.99 |
435 | 18 | 15 | 1008.74 |
436 | 13 | 8 | 1819.96 |
437 | 21 | 18 | 630.47 |
438 | 6 | 5 | 1478.86 |
439 | 16 | 21 | 1562.08 |
440 | 29 | 9 | 1171.59 |
441 | 8 | 21 | 1642.86 |
442 | 11 | 19 | 1373.12 |
443 | 8 | 5 | 180.07 |
444 | 2 | 18 | 996.17 |
445 | 7 | 1 | 45.23 |
446 | 29 | 11 | 1049.44 |
447 | 16 | 8 | 220.03 |
448 | 19 | 7 | 393.14 |
449 | 14 | 17 | 1963.58 |
450 | 9 | 6 | 147.12 |
451 | 6 | 7 | 1279.7 |
452 | 24 | 1 | 633.17 |
453 | 12 | 1 | 1562.66 |
454 | 14 | 21 | 1354.59 |
455 | 8 | 1 | 911.62 |
456 | 25 | 4 | 1725.82 |
457 | 4 | 4 | 573.16 |
458 | 14 | 13 | 1331.53 |
459 | 13 | 14 | 1688.13 |
460 | 13 | 4 | 180 |
461 | 4 | 22 | 636.38 |
462 | 10 | 8 | 830.24 |
463 | 20 | 22 | 641.43 |
464 | 4 | 1 | 790.84 |
465 | 17 | 22 | 686 |
466 | 29 | 18 | 839.53 |
467 | 7 | 22 | 1862.15 |
468 | 4 | 2 | 1645.01 |
469 | 26 | 13 | 678.39 |
470 | 1 | 15 | 1287.7 |
471 | 24 | 12 | 1138.13 |
472 | 25 | 21 | 1081.9 |
473 | 1 | 11 | 432.32 |
474 | 18 | 13 | 437.33 |
475 | 24 | 23 | 852.05 |
476 | 18 | 5 | 1686.86 |
477 | 39 | 15 | 1420.24 |
478 | 27 | 11 | 869.55 |
479 | 25 | 8 | 1919.58 |
480 | 12 | 22 | 1451.94 |
481 | 2 | 1 | 1824.64 |
482 | 7 | 11 | 1877.28 |
483 | 6 | 24 | 1717.3 |
484 | 17 | 16 | 6148.05 |
485 | 13 | 2 | 111.17 |
486 | 21 | 1 | 621.61 |
487 | 16 | 1 | 1663.79 |
488 | 7 | 7 | 1247.65 |
489 | 5 | 1 | 198.72 |
490 | 8 | 1 | 927.95 |
491 | 33 | 1 | 117.62 |
492 | 6 | 13 | 1674.32 |
493 | 1 | 21 | 734.98 |
494 | 5 | 11 | 1387.5 |
495 | 8 | 18 | 488.5 |
496 | 7 | 6 | 92.63 |
497 | 6 | 7 | 1808.21 |
498 | 19 | 21 | 910.94 |
499 | 14 | 6 | 1564.15 |
500 | 25 | 14 | 1894.13 |
501 | 10 | 12 | 751.38 |
502 | 4 | 11 | 1813.51 |
503 | 4 | 6 | 1367.15 |
504 | 15 | 5 | 1264.09 |
505 | 7 | 1 | 685.55 |
506 | 4 | 4 | 1296.34 |
507 | 14 | 7 | 1300.12 |
508 | 38 | 15 | 1728.68 |
509 | 11 | 1 | 487.28 |
510 | 4 | 12 | 1313.31 |
511 | 25 | 17 | 1694.35 |
512 | 5 | 2 | 1931.97 |
513 | 27 | 22 | 1372.36 |
514 | 26 | 18 | 1731.94 |
515 | 19 | 1 | 1496.83 |
516 | 22 | 15 | 1798.79 |
517 | 11 | 6 | 803.94 |
518 | 24 | 11 | 1505.96 |
519 | 17 | 1 | 120.52 |
520 | 18 | 7 | 936.77 |
521 | 23 | 7 | 1824.41 |
522 | 17 | 5 | 177.08 |
523 | 1 | 19 | 867.99 |
524 | 21 | 17 | 756.88 |
525 | 13 | 4 | 6433.81 |
526 | 38 | 2 | 1947.54 |
527 | 19 | 5 | 549.35 |
528 | 26 | 8 | 1680.69 |
529 | 30 | 12 | 555.2 |
530 | 7 | 6 | 334.12 |
531 | 17 | 19 | 925.89 |
532 | 27 | 6 | 249.2 |
533 | 12 | 14 | 666.3 |
534 | 27 | 17 | 1955.27 |
535 | 8 | 11 | 363.62 |
536 | 4 | 8 | 1728 |
537 | 20 | 9 | 197.43 |
538 | 28 | 24 | 973.93 |
539 | 27 | 12 | 1051.75 |
540 | 12 | 19 | 1315.32 |
541 | 4 | 13 | 1628.32 |
542 | 13 | 12 | 1452.1 |
543 | 16 | 21 | 1591.59 |
544 | 10 | 1 | 487.24 |
545 | 36 | 18 | 839.52 |
546 | 8 | 11 | 1729.52 |
547 | 13 | 3 | 1679 |
548 | 2 | 18 | 780.88 |
549 | 9 | 5 | 498.99 |
550 | 26 | 11 | 1932.64 |
551 | 27 | 1 | 98.39 |
552 | 5 | 6 | 239.36 |
553 | 23 | 13 | 866.19 |
554 | 27 | 4 | 1469.94 |
555 | 26 | 7 | 1273.07 |
556 | 24 | 19 | 1617.51 |
557 | 24 | 9 | 334.68 |
558 | 7 | 12 | 1288.1 |
559 | 42 | 2 | 1784.51 |
560 | 16 | 7 | 1234.33 |
561 | 21 | 21 | 1730.02 |
562 | 13 | 3 | 1512.12 |
563 | 9 | 4 | 93 |
564 | 26 | 3 | 1767.68 |
565 | 24 | 11 | 1640.19 |
566 | 5 | 6 | 750.26 |
567 | 6 | 12 | 299.66 |
568 | 19 | 14 | 1735.09 |
569 | 26 | 11 | 1628.49 |
570 | 20 | 4 | 1155.02 |
571 | 22 | 8 | 1923.31 |
572 | 2 | 18 | 391.1 |
573 | 13 | 14 | 411.61 |
574 | 21 | 4 | 1631.06 |
575 | 21 | 18 | 1359.47 |
576 | 26 | 3 | 1083.38 |
577 | 23 | 16 | 1320.69 |
578 | 13 | 21 | 564.33 |
579 | 13 | 3 | 1936.93 |
580 | 12 | 21 | 766.06 |
581 | 23 | 8 | 1090.77 |
582 | 25 | 9 | 1932.46 |
583 | 27 | 11 | 747.42 |
584 | 14 | 12 | 377.47 |
585 | 13 | 6 | 141.28 |
586 | 8 | 22 | 547.14 |
587 | 23 | 3 | 344.95 |
588 | 17 | 7 | 999.24 |
589 | 13 | 12 | 745.11 |
590 | 28 | 23 | 751.19 |
591 | 8 | 1 | 954.72 |
592 | 26 | 3 | 1066.27 |
593 | 17 | 2 | 489.08 |
594 | 3 | 15 | 885.49 |
595 | 39 | 14 | 1454.39 |
596 | 13 | 8 | 519.83 |
597 | 18 | 21 | 473.87 |
598 | 10 | 21 | 1465.95 |
599 | 4 | 6 | 301.49 |
600 | 20 | 16 | 951.76 |
601 | 16 | 15 | 1282.64 |
602 | 14 | 6 | 347.42 |
603 | 1 | 5 | 164.98 |
604 | 20 | 7 | 99.67 |
605 | 7 | 5 | 1909.29 |
606 | 1 | 11 | 981.2 |
607 | 16 | 14 | 1473.62 |
608 | 18 | 1 | 72.31 |
609 | 20 | 23 | 1128.24 |
610 | 2 | 9 | 1444.39 |
611 | 1 | 1 | 128 |
612 | 59 | 1 | 1767.93 |
613 | 18 | 1 | 531.73 |
614 | 27 | 1 | 85.63 |
615 | 2 | 2 | 698.67 |
616 | 3 | 3 | 690.64 |
617 | 29 | 1 | 249.85 |
618 | 9 | 3 | 563.28 |
619 | 19 | 5 | 1191.27 |
620 | 21 | 22 | 1400.81 |
621 | 6 | 2 | 1749.21 |
622 | 23 | 11 | 471.6 |
623 | 27 | 19 | 1325.11 |
624 | 12 | 13 | 778.11 |
625 | 8 | 6 | 216.09 |
626 | 84 | 2 | 276.26 |
627 | 19 | 2 | 1657.46 |
628 | 26 | 2 | 1483.83 |
629 | 21 | 5 | 554.38 |
630 | 15 | 13 | 1457.71 |
631 | 7 | 15 | 1537.57 |
632 | 3 | 21 | 627.72 |
633 | 1 | 3 | 1920.02 |
634 | 7 | 9 | 739.45 |
635 | 19 | 23 | 639.21 |
636 | 2 | 22 | 1321.41 |
637 | 19 | 14 | 1214.69 |
638 | 5 | 2 | 1576.96 |
639 | 2 | 6 | 1726.92 |
640 | 9 | 2 | 418.18 |
641 | 93 | 1 | 878.92 |
642 | 24 | 11 | 1829.07 |
643 | 9 | 19 | 919.33 |
644 | 28 | 14 | 950.21 |
645 | 22 | 3 | 773.16 |
646 | 29 | 1 | 314.52 |
647 | 4 | 2 | 1708.36 |
648 | 3 | 5 | 129.92 |
649 | 11 | 2 | 1427.69 |
650 | 22 | 13 | 1128.25 |
651 | 29 | 2 | 1198.38 |
652 | 9 | 24 | 880.79 |
653 | 21 | 2 | 1152.14 |
654 | 103 | 6 | 320.79 |
655 | 26 | 18 | 568.95 |
656 | 13 | 15 | 553.58 |
657 | 10 | 1 | 103.32 |
658 | 8 | 5 | 62.11 |
659 | 29 | 14 | 1572.41 |
660 | 15 | 4 | 946.16 |
661 | 16 | 7 | 1189.99 |
662 | 17 | 1 | 1856.61 |
663 | 9 | 9 | 802.56 |
664 | 7 | 11 | 1399.32 |
665 | 3 | 12 | 853.18 |
666 | 16 | 18 | 1346.3 |
667 | 12 | 8 | 1899.43 |
668 | 8 | 19 | 1829.73 |
669 | 14 | 6 | 1995.32 |
670 | 121 | 19 | 1343.96 |
671 | 6 | 24 | 579 |
672 | 9 | 17 | 1535.08 |
673 | 10 | 22 | 1035.15 |
674 | 5 | 6 | 1990.33 |
675 | 16 | 12 | 1998.24 |
676 | 26 | 4 | 1904.23 |
677 | 20 | 4 | 1844.99 |
678 | 16 | 18 | 835.03 |
679 | 5 | 11 | 1960.2 |
680 | 2 | 4 | 480.5 |
681 | 16 | 5 | 1041.53 |
682 | 16 | 7 | 233.22 |
683 | 21 | 16 | 1906.48 |
684 | 29 | 11 | 572.41 |
685 | 8 | 18 | 1634.84 |
686 | 15 | 2 | 120.92 |
687 | 8 | 2 | 312.85 |
688 | 21 | 1 | 1097.34 |
689 | 14 | 7 | 583.65 |
690 | 13 | 7 | 1361.69 |
691 | 28 | 21 | 1168.85 |
692 | 4 | 3 | 1840.56 |
693 | 16 | 5 | 1254.12 |
694 | 19 | 24 | 1088.95 |
695 | 11 | 2 | 1940.85 |
696 | 3 | 18 | 1187.4 |
697 | 9 | 2 | 1725.07 |
698 | 27 | 7 | 1717.7 |
699 | 12 | 4 | 1290.95 |
700 | 16 | 3 | 1075.38 |
701 | 54 | 8 | 1352.2 |
702 | 5 | 13 | 1553.19 |
703 | 24 | 12 | 1971.23 |
704 | 27 | 6 | 226.25 |
705 | 13 | 5 | 1779.41 |
706 | 8 | 11 | 1934.78 |
707 | 30 | 2 | 377.73 |
708 | 7 | 23 | 959.73 |
709 | 18 | 5 | 406.12 |
710 | 18 | 1 | 807.35 |
711 | 0 | 21 | 814.76 |
712 | 7 | 3 | 1199.35 |
713 | 19 | 1 | 593.31 |
714 | 12 | 2 | 726.51 |
715 | 14 | 22 | 980.27 |
716 | 7 | 19 | 722.57 |
717 | 15 | 7 | 207.07 |
718 | 8 | 5 | 334.09 |
719 | 11 | 3 | 1472.33 |
720 | 14 | 5 | 1670.74 |
721 | 58 | 21 | 1902.07 |
722 | 17 | 22 | 1949.76 |
723 | 3 | 22 | 490.72 |
724 | 9 | 3 | 145.14 |
725 | 5 | 1 | 90.41 |
726 | 10 | 4 | 118.43 |
727 | 5 | 2 | 527.92 |
728 | 23 | 11 | 1887.65 |
729 | 27 | 16 | 1344.29 |
730 | 24 | 2 | 1665.91 |
731 | 10 | 19 | 439.31 |
732 | 4 | 2 | 812.47 |
733 | 16 | 6 | 1251.32 |
734 | 21 | 22 | 1497.22 |
735 | 25 | 14 | 1328.08 |
736 | 7 | 1 | 285.05 |
737 | 27 | 9 | 270.18 |
738 | 52 | 7 | 649.58 |
739 | 18 | 1 | 73.1 |
740 | 23 | 6 | 271.1 |
741 | 28 | 7 | 309.92 |
742 | 27 | 4 | 1582.05 |
743 | 5 | 17 | 1661.15 |
744 | 24 | 6 | 327.09 |
745 | 15 | 6 | 214.7 |
746 | 14 | 4 | 573.03 |
747 | 15 | 9 | 423.98 |
748 | 22 | 3 | 895.91 |
749 | 28 | 5 | 1651.61 |
750 | 20 | 2 | 161.6 |
751 | 10 | 2 | 666.05 |
752 | 12 | 4 | 596.93 |
753 | 27 | 18 | 1919.11 |
754 | 22 | 18 | 1348.37 |
755 | 11 | 16 | 1746.07 |
756 | 6 | 24 | 685.08 |
757 | 28 | 6 | 1272.97 |
758 | 3 | 19 | 1527.41 |
759 | 17 | 5 | 1968.29 |
760 | 21 | 24 | 1269.7 |
761 | 27 | 14 | 755.85 |
762 | 6 | 21 | 1471.02 |
763 | 28 | 26 | 1167.93 |
764 | 20 | 1 | 343.18 |
765 | 26 | 11 | 1051.25 |
766 | 20 | 18 | 1190.9 |
767 | 24 | 6 | 564.02 |
768 | 5 | 28 | 1090.56 |
769 | 8 | 22 | 1687.67 |
770 | 17 | 21 | 1968.93 |
771 | 28 | 18 | 436.54 |
772 | 28 | 5 | 1681.4 |
773 | 20 | 1 | 28.43 |
774 | 4 | 20 | 837.3 |
775 | 7 | 17 | 803.21 |
776 | 4 | 1 | 49.7 |
777 | 1 | 11 | 612.05 |
778 | 14 | 20 | 1121.53 |
779 | 16 | 6 | 173.27 |
780 | 12 | 23 | 954.11 |
781 | 3 | 26 | 701.23 |
782 | 25 | 10 | 995.61 |
783 | 15 | 4 | 1576.22 |
784 | 5 | 5 | 1559.12 |
785 | 8 | 1 | 161.15 |
786 | 11 | 2 | 225.69 |
787 | 2 | 2 | 1776.01 |
788 | 24 | 10 | 1599.47 |
789 | 21 | 3 | 304.23 |
790 | 6 | 15 | 1856.11 |
792 | 24 | 10 | 734.29 |
793 | 53 | 6 | 1437.02 |
794 | 25 | 8 | 879.55 |
795 | 69 | 21 | 677.5 |
796 | 8 | 24 | 1830.94 |
797 | 2 | 6 | 521.58 |
798 | 18 | 22 | 598.34 |
799 | 29 | 9 | 245.96 |
800 | 4 | 20 | 1127.64 |
801 | 25 | 15 | 1176.69 |
802 | 13 | 23 | 1312.58 |
803 | 6 | 25 | 547.58 |
804 | 4 | 4 | 714.95 |
805 | 1 | 22 | 1617.22 |
806 | 22 | 8 | 1893.54 |
807 | 27 | 29 | 1290.45 |
808 | 23 | 13 | 1434.73 |
809 | 3 | 5 | 200.52 |
810 | 8 | 17 | 1042.82 |
811 | 21 | 7 | 1542.58 |
812 | 7 | 1 | 171.09 |
813 | 16 | 1 | 49.61 |
814 | 3 | 3 | 443.42 |
815 | 15 | 8 | 410.27 |
816 | 18 | 1 | 338.22 |
817 | 26 | 9 | 389.47 |
818 | 19 | 9 | 1627.36 |
820 | 2 | 15 | 617.82 |
821 | 27 | 17 | 921 |
822 | 10 | 13 | 602.29 |
823 | 5 | 7 | 132.27 |
824 | 15 | 19 | 704.16 |
825 | 26 | 17 | 1336.09 |
826 | 24 | 9 | 199.27 |
827 | 28 | 9 | 1438.39 |
828 | 20 | 26 | 773.5 |
829 | 20 | 3 | 251.94 |
830 | 15 | 10 | 1337.51 |
831 | 18 | 11 | 301.09 |
832 | 22 | 14 | 714.36 |
833 | 10 | 2 | 1513.69 |
834 | 14 | 16 | 393.81 |
835 | 25 | 10 | 904.58 |
836 | 21 | 1 | 358.62 |
837 | 18 | 13 | 1696.64 |
838 | 20 | 3 | 465.7 |
839 | 10 | 5 | 631.59 |
840 | 29 | 15 | 1283.59 |
841 | 11 | 9 | 1335.59 |
842 | 27 | 23 | 990.49 |
843 | 21 | 17 | 1256.47 |
844 | 1 | 19 | 1728.84 |
845 | 8 | 4 | 617.83 |
846 | 10 | 9 | 1380.94 |
847 | 4 | 3 | 1783.68 |
848 | 4 | 1 | 23.24 |
849 | 19 | 9 | 587.24 |
850 | 11 | 13 | 1574.3 |
851 | 19 | 1 | 1898.46 |
852 | 8 | 1 | 953.18 |
853 | 23 | 2 | 351.39 |
854 | 6 | 7 | 652.8 |
855 | 26 | 2 | 1270.24 |
856 | 19 | 6 | 207.82 |
857 | 23 | 1 | 68.31 |
858 | 20 | 7 | 1525.26 |
859 | 13 | 12 | 1992.17 |
860 | 18 | 15 | 1956.9 |
861 | 15 | 3 | 1945.2 |
862 | 2 | 8 | 1893.18 |
863 | 22 | 27 | 1554.73 |
864 | 11 | 18 | 1424.69 |
865 | 5 | 2 | 248.11 |
866 | 1 | 5 | 275.93 |
867 | 9 | 13 | 1611.27 |
868 | 10 | 1 | 93.72 |
869 | 18 | 10 | 1530.48 |
870 | 27 | 13 | 1509.41 |
871 | 9 | 24 | 1281.48 |
872 | 26 | 3 | 539.2 |
873 | 29 | 2 | 1399.1 |
874 | 25 | 29 | 1733.38 |
875 | 27 | 14 | 653.55 |
876 | 43 | 2 | 706.12 |
877 | 24 | 29 | 1489.27 |
878 | 28 | 21 | 1956.83 |
879 | 12 | 14 | 1795.23 |
880 | 10 | 22 | 730.88 |
881 | 7 | 11 | 1583.77 |
882 | 18 | 2 | 169.75 |
883 | 18 | 6 | 1607.65 |
884 | 68 | 3 | 916.19 |
885 | 20 | 23 | 681.57 |
886 | 16 | 12 | 1528.57 |
887 | 5 | 28 | 1396.47 |
888 | 3 | 3 | 259.83 |
889 | 4 | 6 | 1804.3 |
890 | 15 | 21 | 1073.82 |
891 | 27 | 11 | 884.15 |
892 | 16 | 7 | 411.65 |
893 | 20 | 20 | 933.47 |
894 | 9 | 19 | 1692.98 |
895 | 1 | 14 | 1168.04 |
896 | 18 | 9 | 289.67 |
897 | 21 | 6 | 1527.15 |
898 | 1 | 20 | 1951.03 |
899 | 0 | 4 | 1331.32 |
900 | 13 | 27 | 719.12 |
901 | 16 | 6 | 735.31 |
902 | 56 | 4 | 1869.92 |
903 | 26 | 1 | 150.18 |
904 | 24 | 2 | 157.54 |
905 | 2 | 9 | 1748.72 |
906 | 15 | 3 | 890.99 |
907 | 16 | 11 | 649.79 |
908 | 23 | 27 | 1628.78 |
909 | 21 | 2 | 1599.24 |
910 | 12 | 23 | 1550.61 |
911 | 8 | 1 | 183.55 |
912 | 26 | 5 | 1230.32 |
913 | 9 | 14 | 1627.19 |
914 | 11 | 28 | 1154.7 |
915 | 17 | 1 | 33.58 |
916 | 15 | 9 | 1959.64 |
917 | 10 | 22 | 1581.14 |
918 | 27 | 5 | 1879.82 |
919 | 25 | 3 | 1142.4 |
920 | 15 | 1 | 174.64 |
921 | 5 | 2 | 638.81 |
922 | 19 | 4 | 1067.78 |
923 | 14 | 22 | 1345.92 |
924 | 6 | 3 | 1311.06 |
925 | 26 | 8 | 962.62 |
926 | 23 | 1 | 285.97 |
927 | 17 | 17 | 1651.68 |
928 | 16 | 3 | 1503.87 |
929 | 6 | 13 | 1506.48 |
930 | 22 | 24 | 625.12 |
931 | 28 | 17 | 1742.95 |
932 | 17 | 26 | 1292.21 |
933 | 16 | 7 | 1801.38 |
934 | 1 | 27 | 1585.1 |
935 | 17 | 27 | 7795.03 |
936 | 2 | 17 | 2341.93 |
937 | 1 | 5 | 1865.78 |
938 | 19 | 4 | 1163.08 |
939 | 9 | 7 | 1007.06 |
940 | 27 | 7 | 1322.94 |
941 | 30 | 4 | 860.41 |
942 | 22 | 1 | 776.7 |
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