├── README.md ├── code ├── readme.txt ├── bpNetwork.pyc ├── rbfNetwork.pyc ├── executeBpNetwork.py ├── svm.py ├── executeRbfNetwork.py ├── bpNetwork.py ├── rbfNetwork.py └── data.txt └── result ├── 学习速率.png ├── cross.png ├── kMeans.png ├── 神经元个数.png ├── predict1.png ├── predict2.png └── cross_norm.png /README.md: -------------------------------------------------------------------------------- 1 | # MachineLearning_Ass2 2 | 神经网络的实现,包括bp神经网络和rbf神经网络 3 | 神经网络的实现,包括bp神经网络和rbf神经网络 4 | -------------------------------------------------------------------------------- /code/readme.txt: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/wangtuntun/MachineLearning_Ass2/HEAD/code/readme.txt -------------------------------------------------------------------------------- /result/学习速率.png: -------------------------------------------------------------------------------- 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-------------------------------------------------------------------------------- https://raw.githubusercontent.com/wangtuntun/MachineLearning_Ass2/HEAD/result/神经元个数.png -------------------------------------------------------------------------------- /code/rbfNetwork.pyc: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/wangtuntun/MachineLearning_Ass2/HEAD/code/rbfNetwork.pyc -------------------------------------------------------------------------------- /result/predict1.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/wangtuntun/MachineLearning_Ass2/HEAD/result/predict1.png -------------------------------------------------------------------------------- /result/predict2.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/wangtuntun/MachineLearning_Ass2/HEAD/result/predict2.png -------------------------------------------------------------------------------- /result/cross_norm.png: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/wangtuntun/MachineLearning_Ass2/HEAD/result/cross_norm.png -------------------------------------------------------------------------------- /code/executeBpNetwork.py: -------------------------------------------------------------------------------- 1 | #coding=utf-8 2 | ''' 3 | Created on 2016��5��17�� 4 | 5 | @author: pangb 6 | ''' 7 | from bpNetwork import * 8 | import matplotlib.pyplot as plt 9 | import sys 10 | def testBestLearningRate(): 11 | rate = [0.001, 0.005, 0.01, 0.05, 0.1, 0.5, 1] 12 | errNum = [] 13 | for i in range(len(rate)): 14 | print 'test' + str(i) 15 | xArr, yArr = loadData('data.txt') 16 | n = NN(2, 7, 1) 17 | # 用一些模式训练它 18 | n.train(xArr[500:2999][:], yArr[500:2999], 500, rate[i]) 19 | errNum.append(n.test(xArr[500:2999][:], yArr[500:2999])) 20 | 21 | fig = plt.figure() 22 | ax = fig.add_subplot(111) 23 | x1 = range(7) 24 | ax.plot(x1, errNum) 25 | plt.show() 26 | 27 | def testBestNumOfNeural(): 28 | nums = [3,4,5,6,7,8,9,10,11,12] 29 | errNum = [] 30 | for i in range(len(nums)): 31 | print 'test' + str(i) 32 | xArr, yArr = loadData('data.txt') 33 | n = NN(2, nums[i], 1) 34 | n.train(xArr[500:2999][:], yArr[500:2999],500) 35 | errNum.append(n.test(xArr[500:2999][:], yArr[500:2999])) 36 | fig = plt.figure() 37 | ax = fig.add_subplot(111) 38 | ax.plot(nums, errNum) 39 | plt.show() 40 | 41 | def testNorm(): 42 | xArr, yArr = loadData('data.txt') 43 | # print xArr 44 | # print xArr 45 | xArr = regularize(xArr).tolist() 46 | n = NN(2, 7, 1) 47 | # 用一些模式训练它 48 | n.train(xArr[500:2999][:], yArr[500:2999], 500, 0.01) 49 | print n.test(xArr[500:2999][:], yArr[500:2999]) 50 | 51 | def testNoNorm(): 52 | xArr, yArr = loadData('data.txt') 53 | n = NN(2, 7, 1) 54 | # 用一些模式训练它 55 | n.train(xArr[500:2999][:], yArr[500:2999], 500, 0.01) 56 | print n.test(xArr[500:2999][:], yArr[500:2999]) 57 | 58 | def testPredict(): 59 | xArr, yArr = loadData('data.txt') 60 | n = NN(2, 7, 1) 61 | # 用一些模式训练它 62 | n.train(xArr[500:2999][:], yArr[500:2999], 500, 0.01) 63 | count, predict = n.testP(xArr[0:500][:], yArr[0:500]) 64 | print count 65 | x1 = range(500) 66 | fig = plt.figure() 67 | ax = fig.add_subplot(111) 68 | ax.scatter(x1, predict) 69 | plt.show() 70 | 71 | if __name__ == '__main__': 72 | for arg in sys.argv: 73 | if arg == '-rate': 74 | testBestLearningRate() 75 | if arg == '-num': 76 | testBestNumOfNeural() 77 | if arg == '-predict': 78 | testPredict() 79 | if arg == '-norm': 80 | testNorm() 81 | if arg == '-nonorm': 82 | testNoNorm() 83 | #testPredict() 84 | -------------------------------------------------------------------------------- /code/svm.py: -------------------------------------------------------------------------------- 1 | #coding=utf-8 2 | ''' 3 | Created on 2016��5��17�� 4 | 5 | @author: pangb 6 | ''' 7 | from sklearn import svm 8 | import numpy 9 | def regularize(xMat): 10 | #inMat = xMat.copy() 11 | inMeans = numpy.mean(xMat, 0) 12 | inVar = numpy.var(xMat, 0) 13 | xMat = (xMat - inMeans) / inVar 14 | 15 | return xMat 16 | def loadData(fileName): 17 | numFeat = len(open(fileName).readline().strip().split(' ')) - 1 18 | dataMat = [] 19 | labelMat = [] 20 | fr = open(fileName) 21 | for line in fr.readlines(): 22 | lineArr = [] 23 | curLine = line.strip().split(' ') 24 | for i in range(numFeat): 25 | lineArr.append(float(curLine[i])) 26 | dataMat.append(lineArr) 27 | labelMat.append(float(curLine[-1])) 28 | return dataMat, labelMat 29 | def diff(y1, y2): 30 | count = 0 31 | for i in range(len(y1)): 32 | if abs(y1[i] - y2[i]) < 1: 33 | count += 1 34 | return count 35 | 36 | def linearSVM(): 37 | xArr, yArr = loadData('data.txt') 38 | xArr = regularize(xArr).tolist() 39 | xArrTrain = xArr[0:2500][:] 40 | yArrTrain = yArr[0:2500] 41 | xArrTest = xArr[2500:3000] 42 | yArrTest = yArr[2500:3000] 43 | linear_svc = svm.SVC(kernel='linear') 44 | linear_svc.fit(xArrTrain, yArrTrain) 45 | yPredict = linear_svc.predict(xArrTest) 46 | #print yPredict 47 | print '正确的个数:' 48 | num = diff(yPredict, yArrTest) 49 | print num 50 | print '正确率' 51 | print float(num) / len(yArrTest) 52 | 53 | def rbfSVM(): 54 | xArr, yArr = loadData('data.txt') 55 | #xArr = regularize(xArr).tolist() 56 | xArrTrain = xArr[0:2500][:] 57 | yArrTrain = yArr[0:2500] 58 | xArrTest = xArr[2500:3000] 59 | yArrTest = yArr[2500:3000] 60 | linear_svc = svm.SVC(kernel='rbf') 61 | linear_svc.fit(xArrTrain, yArrTrain) 62 | yPredict = linear_svc.predict(xArrTest) 63 | #print yPredict 64 | print '正确的个数:' 65 | num = diff(yPredict, yArrTest) 66 | print num 67 | print '正确率' 68 | print float(num) / len(yArrTest) 69 | 70 | def sigMoidSVM(): 71 | xArr, yArr = loadData('data.txt') 72 | xArr = regularize(xArr).tolist() 73 | xArrTrain = xArr[0:2500][:] 74 | yArrTrain = yArr[0:2500] 75 | xArrTest = xArr[2500:3000] 76 | yArrTest = yArr[2500:3000] 77 | linear_svc = svm.SVC(kernel='sigmoid') 78 | linear_svc.fit(xArrTrain, yArrTrain) 79 | yPredict = linear_svc.predict(xArrTest) 80 | #print yPredict 81 | print '正确的个数:' 82 | num = diff(yPredict, yArrTest) 83 | print num 84 | print '正确率' 85 | print float(num) / len(yArrTest) 86 | 87 | if __name__ == '__main__': 88 | print 'rbf:' 89 | rbfSVM() 90 | print 'sigmoid:' 91 | sigMoidSVM() 92 | print 'linear:' 93 | linearSVM() 94 | -------------------------------------------------------------------------------- /code/executeRbfNetwork.py: -------------------------------------------------------------------------------- 1 | #coding=utf-8 2 | from rbfNetwork import * 3 | import matplotlib.pyplot as plt 4 | from sklearn.cluster import KMeans 5 | from numpy import * 6 | import sys 7 | ''' 8 | Created on 2016��5��17�� 9 | 10 | @author: pangb 11 | ''' 12 | #运行交叉校验求的较优的k值 13 | def crossKNormal(): 14 | xArr, yArr= RBFNN.loadData('data.txt') 15 | xArr = regularize(mat(xArr)).tolist() 16 | errlist = [] 17 | for i in range(10): 18 | n=RBFNN(2, i+3, 1) 19 | err = n.rbfCross(xArr[0:2500][:], yArr[0:2500]) 20 | print err 21 | errlist.append(err) 22 | 23 | x1 = [3,4,5,6,7,8,9,10,11,12] 24 | fig = plt.figure() 25 | ax = fig.add_subplot(111) 26 | ax.plot(x1, errlist) 27 | plt.show() 28 | 29 | def crossKNoNormal(): 30 | xArr, yArr= RBFNN.loadData('data.txt') 31 | #xArr = regularize(mat(xArr)).tolist() 32 | errlist = [] 33 | for i in range(10): 34 | n=RBFNN(2, i+3, 1) 35 | err = n.rbfCross(xArr[0:2500][:], yArr[0:2500]) 36 | print err 37 | errlist.append(err) 38 | 39 | x1 = [3,4,5,6,7,8,9,10,11,12] 40 | fig = plt.figure() 41 | ax = fig.add_subplot(111) 42 | ax.plot(x1, errlist) 43 | plt.show() 44 | 45 | def drawKmeans(): 46 | xArr, yArr= RBFNN.loadData('data.txt') 47 | clf = KMeans(n_clusters=12) 48 | xArr1 = xArr[0:2500][:] 49 | xArr1 = mat(xArr1) 50 | s = clf.fit(xArr1) 51 | cents = clf.cluster_centers_ 52 | labels = clf.labels_ 53 | colors = ['or', 'ob', 'og', 'ok', '^r', '+r', 'sr', 'dr', '', y1) 134 | 135 | 136 | if (y1 >= 0.5) and (y2 >= 0.0): 137 | count += 1 138 | if (y1 < 0.5) and (y2 < 0.0): 139 | count += 1 140 | 141 | #if abs(y1 - y2) < 1: 142 | # count += 1; 143 | 144 | return count 145 | 146 | #返回预测的y与正确的count值 147 | def testP(self, xArr, yArr): 148 | count = 0 149 | predict = [] 150 | for i in range(len(yArr)): 151 | y1 = self.update(xArr[i])[0] 152 | y2 = yArr[i] 153 | print(y2, '->', y1) 154 | 155 | predict.append(y1) 156 | if (y1 >= 0.5) and (y2 >= 0.0): 157 | count += 1 158 | if (y1 < 0.5) and (y2 < 0.0): 159 | count += 1 160 | 161 | #if abs(y1 - y2) < 1: 162 | # count += 1; 163 | 164 | return count,predict 165 | 166 | 167 | 168 | def train(self, xArr, yArr, iterations=1000, N=0.01): 169 | # N: 学习速率(learning rate) 170 | for i in range(iterations): 171 | error = 0.0 172 | for j in range(len(yArr)): 173 | inputs = xArr[j] 174 | 175 | targets = [] 176 | targets.append(yArr[j]) 177 | 178 | self.update(inputs) 179 | error = error + self.backPropagate(targets, N) 180 | if i % 100 == 0: 181 | print('err %-.5f' % error) 182 | 183 | 184 | def testMain(): 185 | xArr, yArr = loadData('data.txt') 186 | # print xArr 187 | # print xArr 188 | #xArr = regularize(xArr).tolist() 189 | n = NN(2, 10, 1) 190 | # 用一些模式训练它 191 | n.train(xArr[500:2999][:], yArr[500:2999]) 192 | # 测试训练的成果(不要吃惊哦) 193 | print n.test(xArr[0:499][:], yArr[0:499]) 194 | # 看看训练好的权重(当然可以考虑把训练好的权重持久化) 195 | # n.weights() 196 | 197 | 198 | if __name__ == '__main__': 199 | testMain() 200 | -------------------------------------------------------------------------------- /code/rbfNetwork.py: -------------------------------------------------------------------------------- 1 | #coding=utf-8 2 | ''' 3 | Created on 2016年5月13日 4 | 5 | @author: pangb 6 | ''' 7 | from sklearn.cluster import KMeans 8 | from numpy import * 9 | import math 10 | 11 | def regularize(xMat): 12 | #inMat = xMat.copy() 13 | inMeans = mean(xMat, 0) 14 | inVar = var(xMat, 0) 15 | xMat = (xMat - inMeans) / inVar 16 | 17 | return xMat 18 | class RBFNN: 19 | 20 | # 从文件中读取数据 21 | @staticmethod 22 | def loadData(fileName): 23 | numFeat = len(open(fileName).readline().strip().split(' ')) - 1 24 | dataMat = [] 25 | labelMat = [] 26 | fr = open(fileName) 27 | for line in fr.readlines(): 28 | lineArr = [] 29 | curLine = line.strip().split(' ') 30 | for i in range(numFeat): 31 | lineArr.append(float(curLine[i])) 32 | dataMat.append(lineArr) 33 | labelMat.append(float(curLine[-1])) 34 | return dataMat, labelMat 35 | 36 | # 计算两个向量之间的距离 37 | @staticmethod 38 | def distCal(vecA, vecB): 39 | return sqrt(sum(power(vecA - vecB, 2))) 40 | 41 | # 为给定数据集构建一个包含k个随机质心的集合 42 | @staticmethod 43 | def randCentral(dataSet, k): 44 | n = shape(dataSet)[1] 45 | cents = mat(zeros((k, n))) 46 | for i in range(n): 47 | minJ = min(dataSet[:, i]) 48 | rangeJ = float(max(dataSet[:, i]) - minJ) 49 | cents[:, i] = mat(minJ + rangeJ * random.rand(k, 1)) 50 | return cents 51 | 52 | # 求k均值聚类 53 | @staticmethod 54 | def kMeans(self, dataSet, k): 55 | m = shape(dataSet)[0] 56 | clusterAssMent = mat(zeros((m, 2))) 57 | cents = self.randCentral(dataSet, k) 58 | clusterChanged = True 59 | while clusterChanged: 60 | clusterChanged = False 61 | for i in range(m): 62 | minDist = inf; minIndex = -1 63 | for j in range(k): 64 | distJI = self.distCal(cents[j, :], dataSet[i, :]) 65 | if distJI < minDist: 66 | minDist = distJI; minIndex = j 67 | if clusterAssMent[i, 0] != minIndex:clusterChanged = True 68 | clusterAssMent[i, :] = minIndex, minDist ** 2 69 | for cent in range(k): 70 | ptsInClust = dataSet[nonzero(clusterAssMent[:, 0].A == cent)[0]] 71 | cents[cent, :] = mean(ptsInClust, axis=0) 72 | return cents, clusterAssMent 73 | # 初始化 74 | # @i,j,k分别为rbf网络的输入层,隐含层,输出层的节点个数 75 | def __init__(self, i, j, k): 76 | self.input_num = i 77 | self.hide_num = j 78 | self.output_num = k 79 | 80 | self.weight = ones((self.hide_num, self.output_num)) 81 | 82 | # 高斯函数 83 | @staticmethod 84 | def gaussian(self, x, y, fai): 85 | r = sum(power(x - y, 2)) 86 | return exp(-r / (2 *fai)) 87 | 88 | # 矩阵的逆求解theta 89 | 90 | @staticmethod 91 | def standRegres(xArr, yArr): 92 | xMat = mat(xArr) 93 | yMat = mat(yArr).T 94 | xTx = xMat.T * xMat 95 | if linalg.det(xTx) == 0.0: 96 | print "该矩阵没有逆矩阵,无法求解" 97 | return 98 | ws = xTx.I * (xMat.T * yMat) 99 | return ws 100 | 101 | def lingSolution(self, xArr, yArr, lam): 102 | xMat = mat(xArr) 103 | yMat = mat(yArr).T 104 | xTx = xMat.T*xMat 105 | xTemp = xTx + eye(shape(xMat)[1]) * lam 106 | if linalg.det(xTemp) == 0.0: 107 | print "该矩阵没有逆矩阵,无法求解" 108 | return 109 | ws = xTemp.I * (xMat.T*yMat) 110 | return ws 111 | 112 | # 求中心点之间的最大距离 113 | def calculateRange(self, cents): 114 | row = len(cents) 115 | maxrange = [] 116 | for i in range(row): 117 | nowRow = cents[i, :] 118 | tempMat = tile(nowRow, (row, 1)) 119 | diff = (tempMat - cents) 120 | diff = square(diff) 121 | 122 | diffsum = diff.sum(axis=1) 123 | diffsum = diffsum.tolist() 124 | diffsum.sort() 125 | # if(maxrange < sortedDiff[row - 1]): 126 | # maxrange = sortedDiff[row - 1] 127 | 128 | maxrange.append(diffsum[1]) 129 | 130 | return maxrange 131 | 132 | 133 | def regularize(self, xMat): 134 | #inMat = xMat.copy() 135 | inMeans = mean(xMat, 0) 136 | inVar = var(xMat, 0) 137 | 138 | 139 | xMat = (xMat - inMeans) / inVar 140 | 141 | return xMat 142 | 143 | def rand(self, a, b): 144 | return (b - a) * random.random() + a 145 | def calculateWeight(self, basis, yArr, IntegerNum = 1000, rate = 0.01): 146 | n = len(basis) 147 | weight = [1.0] * (self.hide_num+1) 148 | for i in range(self.hide_num): 149 | weight[i] = self.rand(-1.0, 1.0) 150 | 151 | for j in range(IntegerNum): 152 | for k in range(n): 153 | yPre = weight * basis[k,:] 154 | fY = 1 / (1 + exp(-yPre)) 155 | df = fY * (1 - fY) 156 | err = yArr[k] - df 157 | weight = weight + rate * err * df * basis[k,:].T 158 | 159 | return weight 160 | 161 | def calculateDiff(self, y1, y2): 162 | count = 0 163 | for i in range(len(y2)): 164 | if y1[0][i] > 0.0 and y2[i] > 0.0: 165 | count += 1 166 | if y1[0][i] < 0.0 and y2[i] < 0.0: 167 | count += 1 168 | return count 169 | 170 | def isnan(self, cents): 171 | tempCents = cents.tolist() 172 | for i in range(len(tempCents)): 173 | if isnan(tempCents[i][0]) or isnan(tempCents[i][1]): 174 | return True 175 | 176 | return False 177 | # 交叉校验k的值 178 | def rbfCross(self, xArr, yArr, k=5): 179 | row = len(yArr) 180 | foldSize = int(math.floor(row / k)) 181 | xArr = self.regularize(mat(xArr)).tolist() 182 | num1 = 0 183 | error = 0 184 | # 交叉校验k次 185 | for i in range(k): 186 | xTrain = [] 187 | yTrain = [] 188 | xTest = [] 189 | yTest = [] 190 | # 交叉校验分组 191 | for j in range(k): 192 | for m in range(foldSize): 193 | if j == i: 194 | if(j * foldSize + m >= row): 195 | break 196 | xTest.append(xArr[j * foldSize + m]) 197 | yTest.append(yArr[j * foldSize + m]) 198 | else: 199 | if(j * foldSize + m >= row): 200 | break 201 | xTrain.append(xArr[j * foldSize + m]) 202 | yTrain.append(yArr[j * foldSize + m]) 203 | 204 | # k聚类xTest集合 205 | clf = KMeans(n_clusters=self.hide_num) 206 | s = clf.fit(xTest) 207 | cents = clf.cluster_centers_ 208 | #cents ,clus= self.kMeans(self, mat(xTest), self.hide_num) 209 | if self.isnan(cents): 210 | continue 211 | 212 | num1 += 1 213 | maxRange = self.calculateRange(cents) 214 | # 得到权重 215 | basis = ones((len(xTrain), len(cents)+1)) 216 | # for n in range(len(xTrain)): 217 | for n in range(len(xTrain)): 218 | for m in range(len(cents)): 219 | basis[n, m+1]=self.gaussian(self, xTrain[n], cents[m], maxRange[m]) 220 | 221 | 222 | ws=self.lingSolution(basis, yTrain, 0.001) 223 | 224 | #ws = self.calculateWeight(basis, yTrain) 225 | # 交叉校验误差 226 | vBasis=ones((len(xTest), len(cents)+1)) 227 | for n in range(len(xTest)): 228 | for m in range(len(cents)): 229 | vBasis[n, m+1]=self.gaussian(self, xTest[n], cents[m], maxRange[m]) 230 | 231 | yPredict=vBasis * ws 232 | #ws = mat(ws) 233 | #shape1 = shape(ws) 234 | #yPredict = vBasis * ws.T 235 | #fY = 1 / (1 + exp(-yPredict)) 236 | yPredict = yPredict.T 237 | print self.calculateDiff(yPredict.tolist(), yTest) 238 | matYtest = mat(yTest) 239 | diff=(yPredict - matYtest) 240 | diff = square(diff) 241 | errlist=diff.sum() 242 | error += errlist 243 | return error/num1 244 | 245 | #测试集合 246 | def rbfPredict(self, xArr, yArr, xTest): 247 | row = len(xArr) 248 | # k聚类xTest集合 249 | clf = KMeans(n_clusters=self.hide_num) 250 | s = clf.fit(xArr) 251 | cents = clf.cluster_centers_ 252 | #cents ,clus= self.kMeans(self, mat(xTest), self.hide_num) 253 | 254 | maxRange = self.calculateRange(cents) 255 | # 得到权重 256 | basis = ones((len(xArr), len(cents)+1)) 257 | # for n in range(len(xTrain)): 258 | for n in range(len(xArr)): 259 | for m in range(len(cents)): 260 | basis[n, m+1]=self.gaussian(self, xArr[n], cents[m], maxRange[m]) 261 | 262 | #岭回归求得权重 263 | ws=self.lingSolution(basis, yArr, 0.001) 264 | 265 | #ws = self.calculateWeight(basis, yTrain) 266 | # 交叉校验误差 267 | vBasis=ones((len(xTest), len(cents)+1)) 268 | for n in range(len(xTest)): 269 | for m in range(len(cents)): 270 | vBasis[n, m+1]=self.gaussian(self, xTest[n], cents[m], maxRange[m]) 271 | 272 | yPredict=vBasis * ws 273 | return yPredict.T 274 | 275 | def TestCross(): 276 | 277 | xArr, yArr= RBFNN.loadData('data.txt') 278 | xArr = regularize(mat(xArr)).tolist() 279 | n=RBFNN(2, 10, 1) 280 | print n.rbfCross(xArr[0:2500][:], yArr[0:2500]) 281 | 282 | if __name__ == '__main__': 283 | TestCross() 284 | -------------------------------------------------------------------------------- /code/data.txt: -------------------------------------------------------------------------------- 1 | -6.52607 16.6577 1 2 | 11.8985 -13.7178 -1 3 | 15.9559 6.57125 1 4 | 10.2763 -11.475 -1 5 | -0.221445 -9.34094 -1 6 | -3.92438 -0.356128 -1 7 | 25.2423 -7.28753 -1 8 | -19.5241 10.6759 1 9 | -0.492666 2.95865 -1 10 | 17.0033 -14.2132 -1 11 | -15.5555 8.55086 1 12 | 7.85803 14.9312 1 13 | 18.4031 1.77285 1 14 | -13.9527 17.4679 1 15 | 9.95 -5.1493 -1 16 | 2.78763 -4.11265 -1 17 | 11.3413 -13.7905 -1 18 | -6.86687 12.1839 1 19 | -1.46413 17.7609 1 20 | 32.9283 -14.9663 -1 21 | -13.0159 15.9939 1 22 | -14.5894 9.73928 1 23 | 18.2525 -17.8729 -1 24 | 44.5866 0.0432051 -1 25 | 34.6801 -5.06109 -1 26 | 40.4058 2.40455 -1 27 | 17.8723 11.6609 1 28 | 3.0002 22.0959 1 29 | 9.65128 -4.06137 -1 30 | 40.987 1.95283 -1 31 | 6.52072 21.9572 1 32 | -16.1117 1.82137 1 33 | 15.3586 1.40296 1 34 | -0.898998 2.37185 -1 35 | 31.87 -1.63637 -1 36 | -14.3906 18.7535 1 37 | 25.2965 -17.3432 -1 38 | -13.9144 4.99591 1 39 | 6.29524 -2.3056 -1 40 | -2.32785 -1.77672 -1 41 | 4.3971 -2.59133 -1 42 | 33.0395 -0.240787 -1 43 | 3.83316 2.89526 -1 44 | 19.768 15.0283 1 45 | 12.1375 -5.91891 -1 46 | 27.381 -14.2633 -1 47 | 7.99667 12.0756 1 48 | 13.7991 -16.9913 -1 49 | 4.75263 -1.97021 -1 50 | 0.437494 5.93499 -1 51 | -10.8753 16.2936 1 52 | 19.5487 -11.8546 -1 53 | 14.5451 -10.6607 -1 54 | 30.8774 -2.2285 -1 55 | 14.561 22.0848 1 56 | -12.6179 7.81083 1 57 | -0.568508 -2.65428 -1 58 | -10.4647 17.2757 1 59 | 12.0111 7.7955 1 60 | 15.16 17.7568 1 61 | 10.2474 21.8557 1 62 | 8.18625 -11.6184 -1 63 | 31.3119 -4.03353 -1 64 | 27.6546 -4.37016 -1 65 | 10.131 -3.95189 -1 66 | 11.2548 12.2342 1 67 | 8.9432 11.489 1 68 | 14.36 21.1217 1 69 | -0.209666 23.9626 1 70 | 34.36 -14.1217 -1 71 | 2.70921 17.0934 1 72 | 36.7547 -10.1564 -1 73 | 45.5511 4.22121 -1 74 | 19.3173 -7.71509 -1 75 | 44.6631 4.65772 -1 76 | -14.7953 16.5268 1 77 | 9.24448 12.9822 1 78 | -22.7997 12.2502 1 79 | 12.7316 14.2007 1 80 | 15.9925 8.98087 1 81 | -12.1306 10.898 1 82 | 34.9543 -8.19281 -1 83 | 10.3053 11.6015 1 84 | 32.1659 -10.7472 -1 85 | 31.3142 -15.5524 -1 86 | 12.9132 -10.7263 -1 87 | 21.5635 -9.05156 -1 88 | 11.0684 -17.7181 -1 89 | -2.05092 -5.03198 -1 90 | 11.2166 21.5711 1 91 | 16.0099 12.909 1 92 | 17.2289 13.078 1 93 | 16.5394 18.5277 1 94 | 20.5092 -11.4886 -1 95 | 9.87007 19.9993 1 96 | -19.8277 9.59502 1 97 | -21.4932 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178 | 3.63294 -8.42402 -1 179 | 20.9698 2.9771 1 180 | -23.9964 3.4877 1 181 | 10.6897 -7.62724 -1 182 | 27.4989 -7.85496 -1 183 | 12.6177 -8.68751 -1 184 | 12.0675 -15.2063 -1 185 | 39.8016 4.50671 -1 186 | -10.077 18.6608 1 187 | 35.1555 2.03969 -1 188 | 17.7805 3.02804 1 189 | -8.82785 24.5275 1 190 | -6.98924 18.0156 1 191 | -1.27488 -4.98741 -1 192 | 15.4271 13.6488 1 193 | 18.7715 13.023 1 194 | 38.1823 4.71687 -1 195 | -9.86558 13.0743 1 196 | 6.05556 16.7767 1 197 | 8.81746 10.3267 1 198 | 11.2242 -7.20237 -1 199 | -13.7389 4.44776 1 200 | 12.8164 7.39613 1 201 | 19.2011 11.5023 1 202 | 36.384 -12.0736 -1 203 | 34.392 -2.59991 -1 204 | 40.7875 1.81358 -1 205 | 28.3867 -3.67883 -1 206 | 39.5657 3.01396 -1 207 | 31.8492 -2.48297 -1 208 | 3.31034 0.594706 -1 209 | 16.6994 -13.2354 -1 210 | 25.2948 -5.5348 -1 211 | -15.7615 1.92985 1 212 | 24.5222 7.40265 1 213 | -12.0812 11.4946 1 214 | -11.432 9.01369 1 215 | 34.561 -15.0848 -1 216 | 18.6541 17.6395 1 217 | 20.0699 11.8522 1 218 | 45.0256 4.96292 -1 219 | 29.095 -6.58171 -1 220 | -7.47651 24.5289 1 221 | 21.4883 -6.45778 -1 222 | 14.7145 18.4007 1 223 | 20.573 12.8845 1 224 | 3.10635 24.6782 1 225 | -3.69291 14.1288 1 226 | 18.5359 -10.7609 -1 227 | -20.2082 8.41332 1 228 | 19.5175 4.92113 1 229 | 11.3828 -11.2897 -1 230 | 29.9257 -7.71506 -1 231 | 16.5841 1.34631 1 232 | 22.9142 8.88313 1 233 | -23.1101 4.32397 1 234 | -18.1026 16.3357 1 235 | 7.11188 2.94657 -1 236 | -14.3061 6.68157 1 237 | -15.9127 18.4939 1 238 | 10.494 -14.9237 -1 239 | 20.1546 -17.0397 -1 240 | -16.0694 4.96066 1 241 | 30.7394 -9.28652 -1 242 | 7.8099 0.250229 -1 243 | -17.8378 1.45855 1 244 | 12.1593 13.5706 1 245 | 39.1443 -2.7983 -1 246 | 6.90557 -10.592 -1 247 | 0.929394 4.66901 -1 248 | -4.20245 21.1156 1 249 | 12.5485 10.9104 1 250 | 2.56697 3.34252 -1 251 | 29.2629 -10.9976 -1 252 | 40.9045 -4.54325 -1 253 | -20.1221 14.8125 1 254 | 6.84982 22.3149 1 255 | 29.7847 -8.51512 -1 256 | 15.645 15.8642 1 257 | -6.68256 13.5781 1 258 | 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1936 | -15.117 2.26003 1 1937 | -17.2124 11.1127 1 1938 | -6.19028 24.5579 1 1939 | 45.5046 3.75805 -1 1940 | -2.34611 15.0003 1 1941 | 39.4428 -5.44378 -1 1942 | -11.2446 9.95554 1 1943 | 23.1536 2.43209 1 1944 | -18.3939 9.67703 1 1945 | 1.60609 -2.67703 -1 1946 | -17.3072 18.2479 1 1947 | -21.7336 12.5606 1 1948 | 9.40288 11.4468 1 1949 | 17.2349 19.4967 1 1950 | 14.1729 -15.4336 -1 1951 | 27.2029 -6.18057 -1 1952 | 37.7805 3.97196 -1 1953 | -14.324 14.9039 1 1954 | 37.6235 -3.82379 -1 1955 | 11.9589 18.9287 1 1956 | -5.33776 13.2521 1 1957 | 6.59365 -14.9919 -1 1958 | 41.5506 0.350943 -1 1959 | 13.0666 -15.8769 -1 1960 | -3.27613 20.3422 1 1961 | 28.8175 -3.3267 -1 1962 | 2.34995 -0.295755 -1 1963 | -7.98973 12.7795 1 1964 | -13.1951 8.93551 1 1965 | 30.6307 -5.24859 -1 1966 | -16.9364 14.1038 1 1967 | -3.01464 2.00583 -1 1968 | 23.3492 -9.33248 -1 1969 | -20.7714 4.0368 1 1970 | 11.7198 -6.4061 -1 1971 | 30.8246 -1.39882 -1 1972 | 32.8428 -4.76043 -1 1973 | -4.24507 19.6616 1 1974 | -0.456395 1.16251 -1 1975 | -14.1159 0.239055 1 1976 | -9.03374 10.3559 1 1977 | -14.2879 1.535 1 1978 | 17.056 -8.59454 -1 1979 | -26.3497 2.30346 1 1980 | -2.74695 -5.87514 -1 1981 | 14.1612 2.70248 1 1982 | 8.5473 -13.6179 -1 1983 | 24.3867 -9.82472 -1 1984 | 13.8097 -17.5579 -1 1985 | 21.502 10.2477 1 1986 | 17.8246 -15.3566 -1 1987 | -7.41919 21.0007 1 1988 | 27.7781 -15.4262 -1 1989 | -10.6681 10.7537 1 1990 | 20.3946 3.32596 1 1991 | -0.35283 -9.89305 -1 1992 | 8.3193 14.6748 1 1993 | 3.93421 25.0108 1 1994 | 11.7001 -6.3457 -1 1995 | -22.9683 13.1628 1 1996 | 11.8434 -6.59477 -1 1997 | 16.324 0.437138 1 1998 | 30.8479 -13.2306 -1 1999 | 4.61451 -5.65671 -1 2000 | -17.9802 13.841 1 2001 | 30.6947 -1.76781 -1 2002 | 37.7976 -7.17053 -1 2003 | -4.18966 4.79277 -1 2004 | -6.26909 6.3405 -1 2005 | 4.98242 -3.9126 -1 2006 | 9.78647 -2.63471 -1 2007 | 8.68849 -11.1416 -1 2008 | 14.2557 10.7257 1 2009 | -6.78039 12.5098 1 2010 | 10.81 -14.6204 -1 2011 | 29.1465 -15.8253 -1 2012 | 7.30071 22.8448 1 2013 | -1.62464 23.5954 1 2014 | 19.8016 2.49329 1 2015 | 12.9437 -13.1194 -1 2016 | -13.7048 9.3056 1 2017 | -3.33455 19.9831 1 2018 | 21.9944 10.209 1 2019 | -1.41482 25.7564 1 2020 | -0.374403 -1.71477 -1 2021 | 14.6622 -6.25207 -1 2022 | 12.2329 23.4207 1 2023 | 7.65456 11.3702 1 2024 | 35.4271 -6.64882 -1 2025 | 0.165652 15.1893 1 2026 | 41.264 5.40138 -1 2027 | 16.983 1.79486 1 2028 | 33.5594 4.11007 -1 2029 | 34.6361 -2.75789 -1 2030 | 10.1939 14.5595 1 2031 | 35.7885 -1.38856 -1 2032 | -12.1268 8.47564 1 2033 | 16.0001 -6.91409 -1 2034 | -0.942993 16.6971 1 2035 | 9.59712 18.1458 1 2036 | -1.11474 -3.02479 -1 2037 | 2.80806 -1.73187 -1 2038 | 7.7681 17.3237 1 2039 | 17.6477 -14.5296 -1 2040 | 16.6581 -10.9095 -1 2041 | 20.3501 -8.95126 -1 2042 | -3.27388 19.1945 1 2043 | 35.5497 6.85743 -1 2044 | 5.57739 13.5248 1 2045 | 27.09 -7.88991 -1 2046 | -8.61715 18.2897 1 2047 | 9.29885 -16.1998 -1 2048 | 35.1155 -5.48601 -1 2049 | 13.3174 -6.57809 -1 2050 | -12.8613 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