逻辑回归(Logistic regression)

以下均为自己看视频做的笔记,自用,侵删!

还参考了:http://www.ai-start.com/ml2014/

用梯度下降求解逻辑回归 Logistic Regression

The data

我们将建立一个逻辑回归模型来预测一个学生是否被大学录取。假设你是一个大学系的管理员,你想根据两次考试的结果来决定每个申请人的录取机会。你有以前的申请人的历史数据,你可以用它作为逻辑回归的训练集。对于每一个培训例子,你有两个考试的申请人的分数和录取决定。为了做到这一点,我们将建立一个分类模型,根据考试成绩估计入学概率。

In [7]:
#三大件
import numpy as np
import pandas as pd
import matplotlib.pyplot as plt
%matplotlib inline
In [8]:
import os
path = 'data' + os.sep + 'LogiReg_data.txt'
pdData = pd.read_csv(path, header=None, names=['Exam 1', 'Exam 2', 'Admitted'])
pdData.head()
Out[8]:
  Exam 1 Exam 2 Admitted
0 34.623660 78.024693 0
1 30.286711 43.894998 0
2 35.847409 72.902198 0
3 60.182599 86.308552 1
4 79.032736 75.344376 1
In [10]:
positive = pdData[pdData['Admitted'] == 1] # returns the subset of rows such Admitted = 1, i.e. the set of *positive* examples
negative = pdData[pdData['Admitted'] == 0] # returns the subset of rows such Admitted = 0, i.e. the set of *negative* examples

fig, ax = plt.subplots(figsize=(10,5))
ax.scatter(positive['Exam 1'], positive['Exam 2'], s=30, c='b', marker='o', label='Admitted')
ax.scatter(negative['Exam 1'], negative['Exam 2'], s=30, c='r', marker='x', label='Not Admitted')
ax.legend()
ax.set_xlabel('Exam 1 Score')
ax.set_ylabel('Exam 2 Score')
Out[10]:
Text(0,0.5,'Exam 2 Score')
 
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zPTKaecolNOOUU33nijLrnkkh0/y5YtWyRJ99xzj971rneppaVFs2bN0po1a/TEE0/seP1nn31W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%0AAElFTkSuQmCC" alt="" width="683" height="355" />

The logistic regression

目标:建立分类器(求解出三个参数 θ0θ1θ2)

设定阈值,根据阈值判断录取结果

要完成的模块

  • sigmoid : 映射到概率的函数

  • model : 返回预测结果值

  • cost : 根据参数计算损失

  • gradient : 计算每个参数的梯度方向

  • descent : 进行参数更新

  • accuracy: 计算精度

sigmoid 函数

In [11]:
def sigmoid(z):
return 1 / (1 + np.exp(-z))
In [12]:
nums = np.arange(-10, 10, step=1) #creates a vector containing 20 equally spaced values from -10 to 10
fig, ax = plt.subplots(figsize=(12,4))
ax.plot(nums, sigmoid(nums), 'r')
Out[12]:
[<matplotlib.lines.Line2D at 0x15117048>]
 
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HvtoquSJPUAhmxJktR7pATnnw/HHZe3jzsOZsyAAQOKrkyS1EMYsiVJUu/Q0ACnnAKnn55fn3EG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%0AJEmSJKlMDNmSJEmSJJXJ/weO3t2QGbhcbwAAAABJRU5ErkJggg==" alt="" width="700" height="248" />
 

Sigmoid

  • g:ℝ→[0,1]
  • g(0)=0.5
  • g(−∞)=0
  • g(+∞)=1
In [13]:
def model(X, theta):
return sigmoid(np.dot(X, theta.T))
In [14]:
pdData.insert(0, 'Ones', 1) # in a try / except structure so as not to return an error if the block si executed several times
# set X (training data) and y (target variable)
orig_data = pdData.as_matrix() # convert the Pandas seful for further computations
X = orig_data[:,0:cols-1]
y = orig_data[:,cols-1:cols]

# convert to numpy arrays and initalize the parameter array theta
#X = np.matrix(X.values)
#y = np.matrix(data.iloc[:,3:4].values) #np.array(y.values)
theta = np.zeros([1, 3])
In [15]:
X[:5]
Out[15]:
array([[  1.        ,  34.62365962,  78.02469282],
[ 1. , 30.28671077, 43.89499752],
[ 1. , 35.84740877, 72.90219803],
[ 1. , 60.18259939, 86.3085521 ],
[ 1. , 79.03273605, 75.34437644]])
In [16]:
y[:5]
Out[16]:
array([[ 0.],
[ 0.],
[ 0.],
[ 1.],
[ 1.]])
In [17]:
theta
Out[17]:
array([[ 0.,  0.,  0.]])
In [18]:
X.shape, y.shape, theta.shape
Out[18]:
((100, 3), (100, 1), (1, 3))

损失函数

In [19]:
def cost(X, y, theta):
left = np.multiply(-y, np.log(model(X, theta)))
right = np.multiply(1 - y, np.log(1 - model(X, theta)))
return np.sum(left - right) / (len(X))
In [20]:
cost(X, y, theta)
Out[20]:
0.69314718055994529

计算梯度

In [21]:
def gradient(X, y, theta):
grad = np.zeros(theta.shape) # (1,3)
error = (model(X, theta)- y).ravel()
for j in range(len(theta.ravel())): #for each parmeter
term = np.multiply(error, X[:,j])
grad[0, j] = np.sum(term) / len(X) return grad

Gradient descent

比较3中不同梯度下降方法

In [22]:
STOP_ITER = 0
STOP_COST = 1
STOP_GRAD = 2

def stopCriterion(type, value, threshold):
#设定三种不同的停止策略
if type == STOP_ITER: return value > threshold
elif type == STOP_COST: return abs(value[-1]-value[-2]) < threshold
elif type == STOP_GRAD: return np.linalg.norm(value) < threshold
In [23]:
import numpy.random
#洗牌
def shuffleData(data):
np.random.shuffle(data)
cols = data.shape[1]
X = data[:, 0:cols-1]
y = data[:, cols-1:]
return X, y
In [24]:
import time

def descent(data, theta, batchSize, stopType, thresh, alpha):
#梯度下降求解 init_time = time.time()
i = 0 # 迭代次数
k = 0 # batch
X, y = shuffleData(data)
grad = np.zeros(theta.shape) # 计算的梯度
costs = [cost(X, y, theta)] # 损失值
​ while True:
grad = gradient(X[k:k+batchSize], y[k:k+batchSize], theta)
k += batchSize #取batch数量个数据
if k >= n:
k = 0
X, y = shuffleData(data) #重新洗牌
theta = theta - alpha*grad # 参数更新
costs.append(cost(X, y, theta)) # 计算新的损失
i += 1

if stopType == STOP_ITER: value = i
elif stopType == STOP_COST: value = costs
elif stopType == STOP_GRAD: value = grad
if stopCriterion(stopType, value, thresh): break return theta, i-1, costs, grad, time.time() -
init_time
 
In [25]:
def runExpe(data, theta, batchSize, stopType, thresh, alpha):
#import pdb; pdb.set_trace();
theta, iter, costs, grad, dur = descent(data, theta, batchSize, stopType, thresh, alpha)
name = "Original" if (data[:,1]>2).sum() > 1 else "Scaled"
name += " data - learning rate: {} - ".format(alpha)
if batchSize==n: strDescType = "Gradient"
elif batchSize==1: strDescType = "Stochastic"
else: strDescType = "Mini-batch ({})".format(batchSize)
name += strDescType + " descent - Stop: "
if stopType == STOP_ITER: strStop = "{} iterations".format(thresh)
elif stopType == STOP_COST: strStop = "costs change < {}".format(thresh)
else: strStop = "gradient norm < {}".format(thresh)
name += strStop
print ("***{}\nTheta: {} - Iter: {} - Last cost: {:03.2f} - Duration: {:03.2f}s".format(
name, theta, iter, costs[-1], dur))
fig, ax = plt.subplots(figsize=(12,4))
ax.plot(np.arange(len(costs)), costs, 'r')
ax.set_xlabel('Iterations')
ax.set_ylabel('Cost')
ax.set_title(name.upper() + ' - Error vs. Iteration')
return theta

不同的停止策略

设定迭代次数

In [26]:
#选择的梯度下降方法是基于所有样本的
n=100
runExpe(orig_data, theta, n, STOP_ITER, thresh=5000, alpha=0.000001)
***Original data - learning rate: 1e-06 - Gradient descent - Stop: 5000 iterations
Theta: [[-0.00027127 0.00705232 0.00376711]] - Iter: 5000 - Last cost: 0.63 - Duration: 1.52s
Out[26]:
array([[-0.00027127,  0.00705232,  0.00376711]])
 
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YvWtJn5AqUL1VpNk9cC7mwTGN7RNH+wjW1zbPZY+Dc/zl092JxyHu7u99iYt0WbeT+i5P2YHq7h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%0ASQ3KpF6SJEmSpAb1/wHA+0citR1o4AAAAABJRU5ErkJggg==" alt="" width="681" height="259" />
 

根据损失值停止

设定阈值 1E-6, 差不多需要110 000次迭代

In [27]:
runExpe(orig_data, theta, n, STOP_COST, thresh=0.000001, alpha=0.001)
***Original data - learning rate: 0.001 - Gradient descent - Stop: costs change < 1e-06
Theta: [[-5.13364014 0.04771429 0.04072397]] - Iter: 109901 - Last cost: 0.38 - Duration: 39.86s
Out[27]:
array([[-5.13364014,  0.04771429,  0.04072397]])
 
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mVkETxZBvgmNa3cc9k2xD1jqXKkbUs8jD6cNzN5QB1BXGdWSyY/T7x5H2Zm21hO/zV18Dywgpnd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" alt="" width="671" height="251" />

根据梯度变化停止

设定阈值 0.05,差不多需要40 000次迭代

In [28]:
runExpe(orig_data, theta, n, STOP_GRAD, thresh=0.05, alpha=0.001)
***Original data - learning rate: 0.001 - Gradient descent - Stop: gradient norm < 0.05
Theta: [[-2.37033409 0.02721692 0.01899456]] - Iter: 40045 - Last cost: 0.49 - Duration: 13.44s
Out[28]:
array([[-2.37033409,  0.02721692,  0.01899456]])
 
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jQZ1u0E9OvbO4bOJ6+ctXp/U1u8l8Z95RVk8PTdiHhF80Fjk0OA20op1w+lckP4PCG3U+szvIBj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%0ASZKkPvX/AZ3y16s3hngkAAAAAElFTkSuQmCC" alt="" width="636" height="238" />

对比不同的梯度下降方法

Stochastic descent

In [29]:
runExpe(orig_data, theta, 1, STOP_ITER, thresh=5000, alpha=0.001)
***Original data - learning rate: 0.001 - Stochastic descent - Stop: 5000 iterations
Theta: [[-0.38585397 0.09042018 -0.01044445]] - Iter: 5000 - Last cost: 1.53 - Duration: 0.48s
Out[29]:
array([[-0.38585397,  0.09042018, -0.01044445]])
 
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wH42Bjzdk7bB1qu/119li3pc/zcxy7ScRAdqvNLaKtU0BAdXwHpsl+eZwG0gL8NgEPj7CNHr0Er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%0AAABJRU5ErkJggg==" alt="" width="685" height="266" />
 

有点爆炸。。。很不稳定,再来试试把学习率调小一些

In [30]:
runExpe(orig_data, theta, 1, STOP_ITER, thresh=15000, alpha=0.000002)
***Original data - learning rate: 2e-06 - Stochastic descent - Stop: 15000 iterations
Theta: [[-0.00201963 0.01014321 0.00107125]] - Iter: 15000 - Last cost: 0.63 - Duration: 1.70s
Out[30]:
array([[-0.00201963,  0.01014321,  0.00107125]])
 
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36fdqMco4Ou86C+RjnX79Y2vJ/zYr/bYS/KPjxZv98YmXkxcBHlAfuYvkYacg3wD9Vx+rTo0rdE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%0ARESkDCjAFxERERERESkD/w8ncXY3DdQN3wAAAABJRU5ErkJggg==" alt="" width="705" height="267" />
 

速度快,但稳定性差,需要很小的学习率

Mini-batch descent

In [31]:
runExpe(orig_data, theta, 16, STOP_ITER, thresh=15000, alpha=0.001)
***Original data - learning rate: 0.001 - Mini-batch (16) descent - Stop: 15000 iterations
Theta: [[-1.032863 0.03624659 0.02571257]] - Iter: 15000 - Last cost: 0.97 - Duration: 2.11s
Out[31]:
array([[-1.032863  ,  0.03624659,  0.02571257]])
 
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+MX/Bui/XUlsJaZfanG5VQ7Lv+LP2HdNyocN+pwPDN1UIVpNsIzhlke+0mV1rdU6LoEL3S9TV/1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" alt="" width="709" height="267" />

浮动仍然比较大,我们来尝试下对数据进行标准化 将数据按其属性(按列进行)减去其均值,然后除以其方差。最后得到的结果是,对每个属性/每列来说所有数据都聚集在0附近,方差值为1

In [32]:
from sklearn import preprocessing as pp

scaled_data = orig_data.copy()
scaled_data[:, 1:3] = pp.scale(orig_data[:, 1:3])

runExpe(scaled_data, theta, n, STOP_ITER, thresh=5000, alpha=0.001)
***Scaled data - learning rate: 0.001 - Gradient descent - Stop: 5000 iterations
Theta: [[ 0.3080807 0.86494967 0.77367651]] - Iter: 5000 - Last cost: 0.38 - Duration: 1.92s
Out[32]:
array([[ 0.3080807 ,  0.86494967,  0.77367651]])
 
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DGM6MYH0SV3w+TzNICZHUV0Ix5HdB/Zh2g986SZrZeRX9a2L0e0pjiG6HJ0OrEv/sfigV6d5SiW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%0ARU5ErkJggg==" alt="" width="674" height="256" />
 

它好多了!原始数据,只能达到达到0.61,而我们得到了0.38个在这里! 所以对数据做预处理是非常重要的

In [33]:
runExpe(scaled_data, theta, n, STOP_GRAD, thresh=0.02, alpha=0.001)
***Scaled data - learning rate: 0.001 - Gradient descent - Stop: gradient norm < 0.02
Theta: [[ 1.0707921 2.63030842 2.41079787]] - Iter: 59422 - Last cost: 0.22 - Duration: 21.58s
Out[33]:
array([[ 1.0707921 ,  2.63030842,  2.41079787]])
 
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rb924u/50XuP2a+sgUUFzMbAf8ojnMta/J9ll1vvEO+cbAe+ZzQH9xFrp3wx4jYtfGiuItqTZfa%0Au+64hFzzod3CgohYhNwE4ZW6Ya0ey2pxdPt4H7mAZA5KzmOR+1nYCbgppfQ0eX/+IJ28YZtSmkqu%0Ahbl6s+20QavncIqYHgYOb7Jt9rRWl7cl8GRK6d9lH6aU/kuuEfrhFq4P2r3WIN88nkRu6lAzltw8%0A44UO5l0qso9GxPHkZnzXkGt1/JTc/Kw9K5Kbt5ada+8HVmlyXK7p1rk6csHSR8mFXL2h1XPN3MBF%0A5N/n0+SmejXLkAsXTyM3W6oVFpwJ/IzcbHg78g3ozwL/KNlOms2j0Rnk2iH1zatq39PngQtTSq9H%0A7q/gmiLuvcnV0L9LrvHRtP+cTjiUXIPjf+TmT7XXf4vPzyF/R5eTjzHfJjch+kfJcaPZui9HPgbv%0ASW5u+vvifX3TlI7imEWRE9xBPqYfTK5FeCtwfEQcVTLJQcBHgG+Sbx58ELgy2umDqNFgSuoPIVcr%0A+xb5S3wzcgc0h0S++1ezRPH36VZnHLk0c3NydbfXUkpPkqtG7VIkqF31Evmitf71aLtTtFVrN7xI%0AN+IonU+xIe1Krk75UErpdXI7pU0jYtluLOvz5DactdLfPwPT6Jlkrjt+R9vf492SC6X6xAPyegwn%0A74Rlahcac0bExuQ2pPeTq9E1cwj5Rsf3urIihb+Qq6H9MiJGNhmndiezTfvzFi+M2qibZoGI+Da5%0ApPWXxcVI/XijyRd+N6eUnkwpTabo66IHblI9QNvfsrGt03vFqzGBblQruZtc8tnkus97YvoPtDMe%0AdLys3tDeNtKYQLa54Kr77IMR8R1yE5GfFxfs9ePNR74IuSGl9GxKaRI5+fhkNOmYtB2dOS5+jpL9%0AHmjWV8lvyRer3e1TpctSSq+SawyUrd8btF2X8XXTXgMcQb54uAyYHLl05/cxa8eEi5AvsFs+VxY+%0AUrL8d8nt8sucC/wLOKydm/F9piiB3o988Xce8FJETIhc6tXVGzlLANNTSs+3M87TdePWqyUCIyNi%0AVfIFLMza50qrx7LSfblIxDoqXKiPY2VyEvEaub1zoy+SE/7aOf4cun7DthZrK8eAv1F+Dm9T+6Go%0A7fh9ZvZR1KtaWV7xvS9Mx/vc0+Tr98bzZP21xibkROdfNOmfp6gNcTawR7ENLEI+Pp/W2lrNEvsa%0AEXF4Edut5ETmWGDplNJHUkrHppQ6ajve0blydnLi2NXpOzp/Hkk+7v28g/G66nuUHxs/0zDeXORm%0AD8eklG5MKd1Q99kHyU2D/pRSuimldGvkDiW/SG4ed2BK6dqU0u/Jbb+XIyeJtDePsmCL49X1zOwb%0Ao2Z78vVp7Rp4dXL/Cz9OKf01pXRzSun8lNLXymomdVZR+PcKMCOldEfda3rkTkO/AHw7pfT9Yt3P%0AIW/HC5NrNHe47imlH6WUjk8pXUW+kXgSuabQpyNimY7iaBL6IeRtbuuU0qkppatTSnuR97kDom3n%0AjxPJzWAvTyldRO7XZCFyDcaWDJqkPqX0akppY/LdmUPId6tWIB/U/h3d6xW61nFT/YHuNPKOt2s3%0A5rsFOd76V2dLq3uqymLZfD5H3lEb17u+A5yuGEuuUvcXeP/O88XA5sUNlOZB5mo2XarZ0IJf0/b3%0AWJ/cRqu2/HnJHXzdWJRAAFxL7kdgzyZ3kS8lH7jfJN8MGglsm1J6o1kgRRXLc4DvdCGhqc0jke8O%0ALk37HXu1EbmH58YLo/ZOpjUfqJvmFfKNkjNSSr8oGfeL5Lu4jdvXMGYtOeiKnWn7O368foSU0sEp%0ApREppfFtJy/V7IK5owvpzk7f3vxaXVa7Svajrp4L3mbW7WTrhs8/VPfZy+TE7uSUUln19S+RSyob%0At4f2bpg105nj4rWU7/f/r2zkoobFT8k3NzvVNKCHNVvHj9F2Xb5YP0LKHY8tSa4OezL59/kmcG9E%0ANF5gdtYDJctfn9whWxt1x6nlyP1M9LgWSsYaY/o9OWHaHTiBvO3uCdwWEV1tFtXRvluLqXG8WiLw%0ANvm7XRP4XqprPtiFY1mjLzHrflxWSlsfx0PkZkU7p/LO78aSO029qIjvVfINpK2i9RptNZ3Zl2sl%0AdI2v18tGTrnj0VuBn0dD08Pe0MLyWl3XZttK7abGm+TEZDi5z4s325nXqeQbWB8nH2dfo5M1OSI/%0A3eA+cnJ6Orkt9NoppSO6mNR19xzY6XN15A5B9yPfcL6+owV0sdDjTMq3z5saxptB81o9E1JKdzUM%0AqyV9Z9QPTCn9ndxMtPGJCWXzaOZ0cnPjj9YN25Pc983Nxf8Pk28mHxsR/xclT1DpRdsB04FzG36P%0AZ8iFpB9vGL903SNixYi4ICJeJt8gfZe8P0Fu0tEVnwDuTik1PpnlDPK+uWnD8MsbamnWapy03NRq%0A0CT1NSmlu1NKR6aUdiHfcTuW3IttrcSzVuVz6ZLJ2ygudvcgl8yMj4h5i8TuevKBszuly/cV8da/%0AOvtYntqP/Z9uxNFsPmPJJehX1633/eSdZY+uJNRFSUOthGhk3XwvpLVk7lfMevHRk9Wkniv5Pe4u%0ALuJraonHX+piH02+QbEc5dVhv8PMpPIo8sXiJS2USv2IvOP/tKsrlHLvyFcDP4zyqnq1/aHxoPFv%0AZp5wOtO2bkoxzYfJJ/h/kG927F8y7ljyPnR93Xd5N3kb/GpHF94deLDkd7y3i/OqlfCX3eWfn/JS%0Aga5O/2o749HCslp1AbPuR+1dxDXbRiDvy+sz6xML6r3KzO1hB3K74a9FQ5uyQu1m341128Od5LvX%0AnW073pnj4mtN9vs2bS7rnAY8Qt9V3Z1FcZN6TsrX756SdXmocaSU0n9SSqeklPZKKa3CzBsyxxZ/%0A/0O+WGrpXFnnzSbfZ2Pv2/WxXEc+p/64xZuHLSvm11gy1mG/MCmlySmlc1JK+6aU1iU/ueS/wDHR%0A+f5fngNm66AG0lLF38bvqZYIrEfuf+SDKaVfd3L59XFA2335SmYe7//eZNpaHB8ll369DVzYWNoU%0Aud+PdclJyex1+/JfyOezPToZ85LkZKy0j4MGjzfZ9tp7OsnB5BoM3+pkXF3VdHlFid+LdLzPLUVO%0A/BpvvtRuanyc3Knf4uQnFDRNOlNKD5Nrt36VnKydnZo/yaeZyeTfaB5yv0vt9gvRjo7OlW+Trxm6%0AOn3p+bM4H/0WODblPqbaFfnRux3V6CzzUpPts7H69qR2foOy/aC9fkD+Q9vvo5V9qeZi8o2ePQGK%0AQqatyIU1Cd7vn2BTcjOPY4BHIrcL/0EfnB8/RK5RNpW2x/nVyP001Wuz7pGbD/yDXOPgYPK6rE++%0A3oe2T/Vp1QfKlsfM83bj79JYm7T2JJSWlz/okvp6xU5Re+xHrS3NjeQfu9US8S3IJ5VFyF/4a8Xr%0ABXJJ/QYRsUpPxdwZkds8bkFuf9Vetb6O5hPkdjtvUnSsErkd7UbkBPY5Zq73a+QTyqK0LZVrRe0m%0AyJca5ll7fEiz0u6a45n1DmdPdNrXGbX4/8Cs8X+n4fN6TxQH7ptTSgeTqyuuR67a01RK6TlyKdFX%0AyW3Nuupg8gmtrLOhv5MvDmZp65hSev/CnM49bmV6Md0/U0qXkQ/+j5GbALz/fO+IWJ38HcxFPsDV%0AvsdXyfva0uS+C/qDWtvG1Us+W51cetbp6SM3b1m2Yfp/A6uV7AO1aXvqWdzfY9b9qOymC/B+lbNn%0AydXgRzR8Nr7YRp5oMnn99nApRXtR4FcR8cHaSJE7g1mLfFH4IjO3h0nkk/byRXXSVtW255s6MU3L%0A0syqtKvT0N6wj/T4+qXcmdQt5D5a5ky5z5ZxwMe6WdOtVQeTq0Z+t6MRO+kt2paM3dDuFCVSSv8i%0AlzyPIu+3nXFd8be9644dyG01/9EwvJYIjE8pPZG610FmLY7G4/3kuuN9s0ct1uK4PaV0Arkm33zk%0AGm71ao8zrJX61l4XFMNbvmEbuW3+psD9KaVWHgHZaSlXv72M3F62lXb7vb2868idopa2/y5ukHwc%0AuDM1NGFi5k2Nm1NKB5Grk29A+SMm651Grs2zPF2oep9S2pZ8nXw8+bx9R0Q8HRFHRuc6K32EfCOx%0A2bn2oYaSzEadPlcXCf3x5KdMHdBinE/QTo3OHtDZmgq1ZLCsVuci5PNoq/OfdcT8iM1zgV2La5Yv%0Ak2uKnNkw3j0ppZ3J2/S65FLuX9K9Dp9bMYmc09UKGNqtpUb5um9DTv53SymdnlIaVxwLu/uY1Fdp%0A/pvUYu9Rgyapb6eKcq3axH8g9+xK7iRh64ho1q6pvpfpseSkZwfywar+VbuY60oPxN1SlJL/nnyn%0Ap7ttO39C7sjkd2lmb6u15PRrtF3vbck7UafWuyiZ3o1cVadxnpuRD6y1/gtKpZReaLjD2VsdmrQR%0A+fmpa5MPcGXxjyN3oNVR5zW/JCdJP4i6njWbOIxcrenwDsZrKuWq/H8GDiC3z6n/7FlyNf8dI6Kj%0AXty7suz/kau0zcWsPafXX/g1fo/bk/e5Pt+vyqSUHiOfsL9cfzEauS3XohRVTNtxM/mido+G4V8k%0Ad9pZP/3F5MRm24Zxv0K+eVfWAVCnpZSeatiPmiXlNYeRa5h0eTsslvsW+QbCPORmUjW17WF32m4P%0AO5BPxC1tD0X18S8B13ajdkaHUn5axG3AL8iJXp+IiOXINZZeoXkHR+1Nv1BZUhW5341lyNtqrefp%0Aw8jtWP9UVtoXEbNHROO22iUppXvIbdgPpPzJCF2d74ySkrGmCWLkvh/K1jXIN1dnkGuPdMa55Oqq%0AP46IpUrmPZZcAn5CSaldj0m5E9ZbgW9HxPrdnNc15Jvxn4uINeH9DrS+RE6eys6RJ5K3scZqp20U%0A1wt/JLeh7u3+Kw4h17grfbpHHy/vaHIHkic2VtEvtsHjyLV0WnkCx8/ITQN/1EHzgvPIzQRPTJ2v%0ALQpASmlCSumolNLa5Ovuc8hNFcdHxGMR8Yso2ia3M483yc2hdo1Zex1fgdwhWbvn2s6eqyM3pTme%0AvJ19uxPrOq3kmNLdBLA7ajcpd6sfGBEfJ9fW6PRNzAank8/ZO5GvRW4oCp3aKI6395Cbc70D9NQT%0AaN4m1/xpPHddQb6OWqBJLYhWcoRaov92w/CygrdmcZS5AVgvIlZqGP5lchX/m9tO0j0td341AFwT%0AEc+Tez98hHzDYi3yXf83yG17aw6g6L08IrYmX0hPJN+p2ZJczeTzEfECuQrxNUUpUxuRO376ckQc%0AWlddZnRE7Fwy+isppfofcd2ImFIy3kMNd2A/FLmNc5B3rFpHK2uSqwudXP6VtDFvMR/ISdaK5E7r%0ANibfRf9JsU4jivk/nFI6pWxGEXE5sH1EfDC13jPyZ8gJyy+Li4vGeT5Kbvs9llwVsydtWbJjQd5e%0Aapaq+37qvZxSeoqZiccRZclV5N5eLyB32vGnZoGklN6OiB+RO8r7Jvkk3mzcyRFxJN1MpshV+T9H%0AvphqrOLzTXLnTH+JiHPJ38mL5G1kZfKB/C3yQajTUkpXR8Tfga9H7vFzEvnC71+pyWMlI+Jq8g2S%0Afbt4kbtmlD8a6vGU23dSfK/fBT6SOm6LeiD55PHniDiFnOAeSe6I8Ny6uFclty08IaW0H7z/ex9K%0A7k37d+TjzarkzsouTinVl8z9lZwonh4RB5Nv/uxBbie9Y31ARc2HWk/ZtdpCn46I14EXU5POb7oi%0ApXRyUSPpwKKa4dnkEvcR5Btxe5BPjE37iaib1xURcQvwjYg4mpxEfhH4Z8od3LQREdeROyb9dt2x%0Acba6/XVUEcd25O31HhoucNrxgSb7/f9SSvd1MO3B5Jt5kJsK9LTadjyCfENuU/J3/SbwmZRS2fnj%0AwxHxTsnwB1Lux2Nv8kXzueSaWW+QL/z2Jp8Xv1crDUsp3VCc434D3BURfyS3UxzJzNpG48jVt2vm%0AbvJ9zkgdt+P8Afn325jOJ8495VPAzyLi/5GrJU8mf/e7F3GdWDuGtKo4BuxI7iH6roj4NfnYMSe5%0Ac8ivUjST6krAnTyW7VrEcUtEnEo+104iV5teh3xMaSwBbuZQ8nn9Z+Sbb58l1wr7UZNz/BPkbWYs%0As9YyWaTuGmc0sAZ5O18ZOCyldC6tWSkiys4Xz6WUmjbFSSk9HBFn0Eed9ba3vJTSA8VNntPIJd6/%0AJR9rFyb3ObE58NOU0hWN05bMa1pE/LiY197kKuZl471Ow/mlO1J+BN2PyDcTPkw+vo8l/74dbeM/%0AIJ8DL42IY8jXvIeRa4y+/9jUiJiL3Nzvbyml+n5AWj1X70EuGLuNfC32kYY87e7UM097qbdIk2Pj%0Af4vvrEtSSvcUx6tDiuv368mN2uwgAAAgAElEQVS1Ln5BrlVwYlfnXcz/7oj4N/lG0mLFfN8XEbuS%0Af+PLyM1zh5Ovg0cys3ZQre+FlVJKXWme8W/yefB7EXET+Xr03pTSNcW6n1dcg99Kvim9KLk57G0p%0ApTM6mPfN5PPgaRHxS/K1zJ6U18hqFkfZtnIkOce6NiJ+Qi5c/iz5xshRqRs1rJtKPfzg+6pe5ITl%0Az+Sqvq+T7xA9S95ZVy4Zfzg5cb2BnOTUOnK6krwxDiOXMCbyxVOz5X69GGfH4v+biv/LXjcV4/y0%0AnXESsEXd/OuHv0c+iN1PTho36MT380zdfGYU39EjxfezVcO4nynG26+d+W1djHNAyWfPA5eUDL+K%0AnBzO2858Lya345+/h7aLvTv4rhcCVupgnFPIScNk4PZ2ljUb+UL0ruL/bYrptysZdxi5V9qXgbmK%0AYeeR21I1jjtH8Z0m4Oi64bW4960b1t4yjyk+K1vGCPJB7AZmVmd6jfz4q58AC7fwXZfGX3y2brHd%0AnUi+qEzA19uZV20b3Kfks0nAeU2m27eD3/LzdeMeXQxbr8VtaTvyhcE0cinpyY3bKfmGWyJX5Wuc%0Afk9yCdbb5OY7vwbmKBlvXnLzjpeLZd1D7hG1LJ5m63lFT+w/JcvcnNz/xQvkY+yb5JPc8cAaDeNe%0ASK6yWzafDxdxHke+wZOAse0sd6dinL3q5l2/vm+Rj3EXk5P5ESXzuJv8JI/GbanZd/hIyXa1Usl8%0ALy0+u6NJ7LVtYu9OfM+N2/Hb5GYwfyc3o2lzfKzbnpu9NijGW4Pcbn58sR1PJ58Dryf3ClwWz/rk%0AkrcJxe/+erEv/LA+luI7brb8aSXb7jYly/pd8VmzbWfu4vMjemkbX5p8E/V2Zj6h5r/ki8W9gGFN%0Apqt9/6PamfeHivEeJe/bU+vmO7yr60nnj2VzkpuM3Vas2/RiX7iRXOgxptU4yMf0RD7GX0e+OB7d%0AzrIvJ++vY+rmXXu9Rz7v3FvMd51W9ifaPxYm4JD2jgPF8EWLuJruq638xiXTdGl55EKbPzPzWPtK%0A8d1tXjJue/vTMPI140vAnMWwpsfmuumWKuZ5YA/tV8OAD7U47obkROutYvu8AFiiyf7R5lxHa+fq%0AxnNI42uBnljvhlibva5uiKvZsa90Wyo+G0G+kfJEsb1MJN/M+VCr8+hgHb5TxPpa4/ZPbtpwPrk2%0A0v+KcW6l7nqrbtlvtLCsNudb8nXwmeTj1Iz634h8s2jv4jd/s3g9Vqz/Gq2sO7lJy13FNvcSuenr%0AhsVydm4xjkk0XPuRbwxcQD7H1joZ/VbDOKXXCHXbTcv7YBQTSpIkSZKkAWbQtKmXJEmSJGmoMamX%0AJEmSJGmAMqmXJEmSJGmAMqmXJEmSJGmAMqmXJEmSJGmAMqmXJEmSJGmAGlF1AH0tIgJYhPycXUmS%0AJEmS+sI8wH9SDz9Xfsgl9eSE/vmqg5AkSZIkDTmLAS/05AyHYlL/OsCECRMYPXp01bFIkiRJkga5%0AqVOnsvjii0Mv1Bgfikk9AKNHjzaplyRJkiQNaHaUJ0mSJEnSAGVSL0mSJEnSAGVSL0mSJEnSANUv%0AkvqI2Ccino6IaRExPiI2bmfcmyIilbz+1pcxS5IkSZJUtcqT+ojYFfgtcBiwNjAOuCoilmgyyY7A%0AwnWv1YD3gL/0frSSJEmSJPUflSf1wAHAqSmlU1JKD6eU9gcmAN8oGzmlNDml9FLtBWwJvEWTpD4i%0AZo+I0bUXME8vrYckSZIkSX2q0qQ+IkYC6wLXNnx0LfDRFmczFjgvpfRmk88PBabUvZ7vQqiSJEmS%0AJPU7VZfULwAMByY2DJ8ILNTRxBHxYXL1+1PaGe1wYEzda7EuRSpJkiRJUj8zouoACqnh/ygZVmYs%0A8EBK6a6mM07pbeDt92cc0aUAJUmSJEnqb6ouqZ9E7uSusVR+QdqW3s8iIuYEPk/7pfQD15VXwl57%0AwfnnVx2JJEmSJKmfqjSpTym9A4wnd3ZXb0vgtg4m/xwwO3BOL4RWvbvugpNPhmuuqToSSZIkSVI/%0A1R+q3/8GODsi7gZuB/YClgD+CBARZwEvpJQObZhuLHBJSunVvgy2z6y6av774IPVxiFJkiRJ6rcq%0AT+pTSudHxAeAH5OfO/8AsG1K6dlilCWAGfXTRMQKwEbAVn0Za5+qJfUPPQQpgX0BSJIkSZIaREqt%0A9Ec3eBTPqp8yZcoURo8eXXU4zb37Lsw1V/77zDOw5JJVRyRJkiRJ6oKpU6cyZswYgDEppak9Oe+q%0AO8pTM7PNBiuumN9bBV+SJEmSVMKkvj+zXb0kSZIkqR0m9f1ZLal/4IFq45AkSZIk9Usm9f2ZJfWS%0AJEmSpHaY1PdntaT+4Ydhxoz2x5UkSZIkDTkm9f3ZssvCyJHw1lu5B3xJkiRJkuqY1PdnI0bASivl%0A91bBlyRJkiQ1MKnv72xXL0mSJElqwqS+v1tttfzXpF6SJEmS1MCkvr+zpF6SJEmS1IRJfX9X3wP+%0Ae+9VG4skSZIkqV8xqe/vll4aRo2CadPgqaeqjkaSJEmS1I+Y1Pd3w4fPLK2///5qY5EkSZIk9Ssm%0A9QPBmmvmv/fdV20ckiRJkqR+xaR+IDCplyRJkiSVMKkfCEzqJUmSJEklTOoHgjXWyH+ffRZee63a%0AWCRJkiRJ/YZJ/UAw33yw5JL5vZ3lSZIkSZIKJvUDhVXwJUmSJEkNTOoHCpN6SZIkSVIDk/qBwqRe%0AkiRJktTApH6gqCX1DzwA06dXG4skSZIkqV8wqR8ollkG5p4b3n4bHn206mgkSZIkSf2ASf1AMWzY%0AzEfbWQVfkiRJkoRJ/cBiu3pJkiRJUh2T+oGkltTfe2+1cUiSJEmS+gWT+oFkrbXy33/9C1KqNhZJ%0AkiRJUuVM6geSNdaAESPglVdgwoSqo5EkSZIkVcykfiCZYw5YddX8fvz4amORJEmSJFXOpH6gWW+9%0A/Pfuu6uNQ5IkSZJUOZP6gaaW1FtSL0mSJElDnkn9QLPuuvnv3XfbWZ4kSZIkDXEm9QPNGmvAbLPB%0Aq6/Cc89VHY0kSZIkqUIm9QPN7LPDaqvl97arlyRJkqQhzaR+ILJdvSRJkiQJk/qBqb5dvSRJkiRp%0AyDKpH4jqS+rtLE+SJEmShiyT+oFotdVyZ3mTJ8Mzz1QdjSRJkiSpIib1A9Hss+de8MEq+JIkSZI0%0AhJnUD1Trr5//3nVXtXFIkiRJkipjUj9QbbBB/nv77dXGIUmSJEmqjEn9QFVL6sePh3feqTYWSZIk%0ASVIlTOoHqhVWgPnmg2nT4P77q45GkiRJklQBk/qBKsIq+JIkSZI0xJnUD2S1pP6OO6qNQ5IkSZJU%0ACZP6gWzDDfNfk3pJkiRJGpJM6geyD384V8N/6il4+eWqo5EkSZIk9bHKk/qI2Ccino6IaRExPiI2%0A7mD8eSPihIh4sZjm4YjYtq/i7VfGjIFVVsnvLa2XJEmSpCGn0qQ+InYFfgscBqwNjAOuioglmow/%0AErgOWArYGVgR+BrwQl/E2y/Zrl6SJEmShqyqS+oPAE5NKZ2SUno4pbQ/MAH4RpPxvwrMD+yQUro1%0ApfRsSukfKaX7mi0gImaPiNG1FzBPj69FlewBX5IkSZKGrMqS+qLUfV3g2oaPrgU+2mSy7YHbgRMi%0AYmJEPBAR34+I4e0s6lBgSt3r+e5F3s/UOsu76y6YPr3aWCRJkiRJfarKkvoFgOHAxIbhE4GFmkyz%0ADLna/XBgW+CXwHeBH7SznMOBMXWvxboecj+08sq5bf1bb8F9TSssSJIkSZIGoaqr3wOkhv+jZFjN%0AMOBlYK+U0viU0nnk9vjNquuTUno7pTS19gJe74mg+41hw+BjH8vvb7ml2lgkSZIkSX2qyqR+EvAe%0AbUvlF6Rt6X3Ni8BjKaX36oY9DCxUVOcfmjbZJP8dN67aOCRJkiRJfaqypD6l9A4wHtiy4aMtgdua%0ATHYrsFxE1Me9AvBiMb+haePiKYDjxkFqVslBkiRJkjTYVF39/jfA/0XEVyNi5Yg4FlgC+CNARJwV%0AEYfXjf8H4APA7yJihYj4FPB94IS+DrxfWW89GDUKJk2CRx6pOhpJkiRJUh+pNKlPKZ0P7A/8GLgX%0A2ATYNqX0bDHKEsDCdeNPALYC1gfuB44Dfgcc0Ydh9z8jR858tJ1V8CVJkiRpyBhRdQAppROBE5t8%0A9vGSYbcDG/RyWAPPJpvATTflzvL22qvqaCRJkiRJfaDq6vfqKfXt6iVJkiRJQ4JJ/WCx4YYwYgQ8%0A9xw8+2zH40uSJEmSBjyT+sFirrlgnXXye0vrJUmSJGlIMKkfTGrPq7/llmrjkCRJkiT1CZP6waSW%0A1N90U6VhSJIkSZL6hkn9YLLJJjB8ODz+eG5bL0mSJEka1EzqB5MxY2D99fP7G26oNhZJkiRJUq8z%0AqR9sNt88/zWplyRJkqRBz6R+sKlP6lOqNhZJkiRJUq8yqR9sNtwQRo2Cl16Chx+uOhpJkiRJUi8y%0AqR9sRo2CjTbK762CL0mSJEmDmkn9YFSrgn/99dXGIUmSJEnqVSb1g1Etqb/pJpg+vdJQJEmSJEm9%0Ax6R+MFpnHZh3Xpg6FcaPrzoaSZIkSVIvMakfjIYPh802y++vu67aWCRJkiRJvcakfrDaeuv896qr%0Aqo1DkiRJktRrTOoHq09+Mv+94w6YPLnaWCRJkiRJvcKkfrBaYglYZRWYMcMq+JIkSZI0SJnUD2a1%0A0nqr4EuSJEnSoGRSP5htu23+e/XVucRekiRJkjSomNQPZhttBHPPDRMnwr/+VXU0kiRJkqQeZlI/%0AmI0cCZtvnt9bBV+SJEmSBh2T+sHOdvWSJEmSNGiZ1A92PtpOkiRJkgYtk/rBboklYLXVckd5ltZL%0AkiRJ0qBiUj8UfOYz+e8ll1QbhyRJkiSpR5nUDwU77JD/XnUVTJtWbSySJEmSpB5jUj8UrLsuLLoo%0AvPkm3HBD1dFIkiRJknqISf1QEDGztP7SS6uNRZIkSZLUY0zqh4pau/pLL4X33qs2FkmSJElSjzCp%0AHyo23RTGjIGXX4Y776w6GkmSJElSDzCpHypGjoRPfSq/txd8SZIkSRoUTOqHklq7+ksugZSqjUWS%0AJEmS1G0m9UPJNtvA7LPD44/D/fdXHY0kSZIkqZtM6oeSeeaBbbfN788/v9pYJEmSJEndZlI/1Oy6%0Aa/57/vlWwZckSZKkAc6kfqj51KdgjjngqafgnnuqjkaSJEmS1A0m9UPN3HPDdtvl91bBlyRJkqQB%0AzaR+KKpVwb/gAqvgS5IkSdIAZlI/FG27bS6xf/ZZuPPOqqORJEmSJHWRSf1QNMccsP32+b1V8CVJ%0AkiRpwDKpH6pqVfDPOw+mT682FkmSJElSl5jUD1XbbAMf+AC89BLccEPV0UiSJEmSusCkfqgaORK+%0A8IX8/swzq41FkiRJktQlJvVD2Ze/nP9efDFMnVptLJIkSZKkTjOpH8rWWw9WXhmmTYMLL6w6GkmS%0AJElSJ5nUD2URM0vrzzqr2lgkSZIkSZ1WeVIfEftExNMRMS0ixkfExu2Mu0dEpJLXqL6MeVDZbbec%0A3N98Mzz9dNXRSJIkSZI6odKkPiJ2BX4LHAasDYwDroqIJdqZbCqwcP0rpTStt2MdtBZbDDbfPL8/%0A++xqY5EkSZIkdUrVJfUHAKemlE5JKT2cUtofmAB8o51pUkrppfpX34Q6iH3lK/nv6afDjBnVxiJJ%0AkiRJalllSX1EjATWBa5t+Oha4KPtTDp3RDwbEc9HxBURsXYHy5k9IkbXXsA83Yt8ENppJ5hvPnjm%0AGbi28eeQJEmSJPVXVZbULwAMByY2DJ8ILNRkmkeAPYDtgS8A04BbI2L5dpZzKDCl7vV810MepOaY%0AY2aHeSedVG0skiRJkqSWVV39HiA1/B8lw/KIKd2RUjonpXRfSmkc8DngMeBb7cz/cGBM3Wux7oc8%0ACO21V/572WXwn/9UG4skSZIkqSVVJvWTgPdoWyq/IG1L70ullGYA/wSaltSnlN5OKU2tvYDXuxjv%0A4LbKKrDRRvDee3DaaVVHI0mSJElqQWVJfUrpHWA8sGXDR1sCt7Uyj4gIYC3gxZ6NboiqldaffHJO%0A7iVJkiRJ/VrV1e9/A/xfRHw1IlaOiGOBJYA/AkTEWRFxeG3kiPhJRGwdEctExFrAqeSk/o9VBD/o%0A7Lxz7jDvuefgmmuqjkaSJEmS1IFKk/qU0vnA/sCPgXuBTYBtU0rPFqMsQX4Wfc28wEnAw+Re8hcF%0ANkkp3dVnQQ9mc8wx8/F2f/hDtbFIkiRJkjoUKZX2STdoFY+1mzJlyhRGjx5ddTj9z2OPwYorQgQ8%0A+igs396DBSRJkiRJHZk6dSpjxowBGFP09dZjqq5+r/5mhRVg220hJTj++KqjkSRJkiS1w6Rebe2/%0Af/57+ukwZUq1sUiSJEmSmjKpV1tbbJEfcffGGz7eTpIkSZL6MZN6tRUB++2X3x9/vI+3kyRJkqR+%0AyqRe5XbbDeafH55+Gi6/vOpoJEmSJEklupTUR8SPI2LOkuFzRMSPux+WKjfnnLDXXvn90UdXG4sk%0ASZIkqVSXHmkXEe8BC6eUXm4Y/gHg5ZTS8B6Kr8f5SLtO+M9/YOml4Z134JZbYOONq45IkiRJkgac%0A/vhIuwDK7gasCUzuejjqVxZZBL7ylfz+8MOrjUWSJEmS1EankvqIeC0iJpMT+sciYnLdawpwHXBB%0AbwSqinzvezBsGFx1Fdx3X9XRSJIkSZLqjOjk+PuTS+lPA34C1D/E/B3gmZTS7T0Um/qD5ZaDXXaB%0A88+HI46Ac8+tOiJJkiRJUqGrbeo3BW5NKU3v+ZB6l23qu+Dee2HttXOJ/aOP5kRfkiRJktSS/tim%0A/nVg5do/EfGZiLgkIn4VESN7JjT1G2utBZ/8JMyYAUceWXU0kiRJkqRCV5P6PwErAETEMsD5wFvA%0ALsBRPROa+pXvfz//PeMMeOqpSkORJEmSJGVdTepXAO4t3u8C3JxS+iKwB7BTD8Sl/majjWDLLWH6%0AdPjFL6qORpIkSZJE9x5pV5t2C+DK4v0EYIHuBqV+qpbMn3UWPPZYtbFIkiRJkrqc1N8N/DAidgc2%0ABf5WDF8amNgTgakf+shHYLvtctv6n/2s6mgkSZIkacjralK/P7AO8HvgsJTSE8XwnYHbeiIw9VM/%0A/3n+e+658OCD1cYiSZIkSUNclx5p13RmEaOA91JK7/bYTHuYj7TrATvtBBddBDvuCH/9a9XRSJIk%0ASVK/1puPtOtWUh8R65IfbZeAh1NK9/RUYL3FpL4HPPAArLEGpAS33QYbblh1RJIkSZLUb/W759RH%0AxIIRcSPwT+A4cjX8uyPihoj4YE8GqH5otdVgzz3z+wMPzMm9JEmSJKnPdbVN/fHAPMCqKaX5U0rz%0AAasBo8lJvga7X/wC5pwzl9RfdFHV0UiSJEnSkNTVpH4b4BsppYdrA1JKDwHfBD7ZE4Gpn1tkETjo%0AoPz+4IPhnXeqjUeSJEmShqCuJvXDgLLO8N7txjw10Bx4ICy0EDz5JPzhD1VHI0mSJElDTlcT8L8D%0Av4uIRWoDImJR4Fjghp4ITAPA3HPnaviQH3X36qvVxiNJkiRJQ0xXk/p9yW3qn4mIJyPiCeDpYti3%0Aeio4DQB77pl7wp88GX7wg6qjkSRJkqQhpbuPtNsSWAkI4KGU0vU9FVhv8ZF2vWDcONhkE4iAu+6C%0A9darOiJJkiRJ6jf6zSPtIuITEfFQkRiTUroupXR8Suk44J8R8WBEbNyTAWoA2Hhj2H33/Gi7ffaB%0AGTOqjkiSJEmShoTOVr/fHzi57M5CSmkK8CfggJ4ITAPMUUfB6NHwz3/CqadWHY0kSZIkDQmdTerX%0ABK5u5/NrgXW7Ho4GrIUWyp3lARxyiJ3mSZIkSVIf6GxS/yHKH2VXMx34YNfD0YD2zW/C6qvnTvO+%0A+92qo5EkSZKkQa+zSf0LwOrtfL4G8GLXw9GANmIEnHRS7jDvzDPh6vYqdUiSJEmSuquzSf2VwM8j%0AYlTjBxExB/Az4IqeCEwD1AYbwH775fdf/zq8/nq18UiSJEnSINapR9pFxIeAe4D3gN8DjwIJWBn4%0AJjAcWCelNLHnQ+0ZPtKuD7z5Zq6G//TTsO++cPzxVUckSZIkSZXpzUfadfo59RGxJPAHYGvy8+kh%0AJ/bXAPuklJ7pyQB7mkl9H7nhBthii/x+3DjYaKNq45EkSZKkivSb59QDpJSeTSltCywAfATYAFgg%0ApbRtf0/o1Yc23xzGjs3v99wT3nij2ngkSZIkaRDqdFJfk1J6LaX0z5TSXSml13oyKA0SRx8Niy0G%0ATzxhb/iSJEmS1Au6nNRLHZp3XjjrrNwb/kknwWWXVR2RJEmSJA0qJvXqXZttNrOUfuxYeOmlauOR%0AJEmSpEHEpF6975e/hDXXhEmTcmLfyc4ZJUmSJEnlTOrV+2afHf785/z3yivhd7+rOiJJkiRJGhRM%0A6tU3Vl0Vjjkmvz/oILjjjmrjkSRJkqRBwKRefWeffWCXXWD6dPjc5+DVV6uOSJIkSZIGNJN69Z0I%0AOOUUWH55mDABvvxlmDGj6qgkSZIkacAyqVffGj0aLrwQRo3K7euPOKLqiCRJkiRpwDKpV99bYw04%0A4YT8/oc/zMm9JEmSJKnTTOpVjT33hK99LT/e7gtfgEceqToiSZIkSRpwTOpVjQj4/e9ho41g6lTY%0Afnt47bWqo5IkSZKkAaVfJPURsU9EPB0R0yJifERs3OJ0n4+IFBGX9HaM6gUjR8Jf/wpLLAGPPw67%0A7pp7xpckSZIktaTypD4idgV+CxwGrA2MA66KiCU6mG5J4OhifA1UCy4Il14Kc84J110HBxyQq+RL%0AkiRJkjpUeVIPHACcmlI6JaX0cEppf2AC8I1mE0TEcODPwE+Ap/omTPWatdaCs87K748/Ho45ptp4%0AJEmSJGmAqDSpj4iRwLrAtQ0fXQt8tJ1Jfwy8klI6tYVlzB4Ro2svYJ4uB6zes9NOcPTR+f1BB8G5%0A51YbjyRJkiQNAFWX1C8ADAcmNgyfCCxUNkFEfAwYC3ytxWUcCkypez3fpUjV+w44APbbL7//ylfg%0AxhurjUeSJEmS+rmqk/qaxkbUUTKMiJgHOAf4WkppUovzPhwYU/darBtxqjdFwG9+AzvvDO++Czvs%0AAPffX3VUkiRJktRvjah4+ZOA92hbKr8gbUvvAZYFlgIuj4jasGEAETEdWDGl9GT9BCmlt4G3a//X%0ATaf+aNgwOPtsmDgRxo2DrbaCW26BFVaoOjJJkiRJ6ncqLalPKb0DjAe2bPhoS+C2kkkeAVYH1qp7%0AXQbcWLyf0GvBqu+MGgWXXZY70Js4ETbfHJ5+uuqoJEmSJKnf6Q/V738D/F9EfDUiVo6IY4ElgD8C%0ARMRZEXE4QEppWkrpgfoX8F/g9eL/dypbC/WseeeFa6+FVVaB55/Pif3zdocgSZIkSfUqT+pTSucD%0A+5N7tL8X2ATYNqX0bDHKEsDCFYWnKn3wg3D99bDssrmkfostcsm9JEmSJAmASKlNf3SDWvFYuylT%0Apkxh9OjRVYejVjz7LGy8MUyYACutBDfcAIssUnVUkiRJktSSqVOnMmbMGIAxKaWpPTnvykvqpQ4t%0AuST8/e+w2GLwyCOwySbw3HNVRyVJkiRJlTOp18Cw3HK5F/yll4Ynn8yJ/VNPVR2VJEmSJFXKpF4D%0Ax9JLw803w/LL5yr5m2wCjz5adVSSJEmSVBmTeg0siy+eE/uVV4YXXoCNNoK77qo6KkmSJEmqhEm9%0ABp6FF4abboJ114VJk2CzzeCqq6qOSpIkSZL6nEm9BqYFF4Qbb4SttoK33oJPfxrOOKPqqCRJkiSp%0AT5nUa+CaZx64/HLYfXd47z3Yc0847DAYYo9plCRJkjR0mdRrYBs5Es48Ew4+OP//wx/CHnvAtGmV%0AhiVJkiRJfcGkXgNfBBxxBJxwAgwfDmedBZ/4BLz0UtWRSZIkSVKvMqnX4LHPPnD11TDvvHD77fDh%0AD8O991YdlSRJkiT1GpN6DS5bbAF33gkrrAATJsDHPgYXXFB1VJIkSZLUK0zqNfissALcccfMnvF3%0A3RX22w/eeafqyCRJkiSpR5nUa3Cabz7429/gkEPy/8cdB5tumkvvJUmSJGmQMKnX4DViBBx+OFx6%0AKYwZk0vv11kHrruu6sgkSZIkqUeY1Gvw2357uOeenNBPmgRbb51L8K2OL0mSJGmAM6nX0LDMMnDr%0ArbDXXpASHHkkfPSj8OijVUcmSZIkSV1mUq+hY9Qo+NOf4K9/hfnnh/Hjc+n9ySfnRF+SJEmSBhiT%0Aeg09O+4I998Pm2+ee8ffa688bOLEqiOTJEmSpE4xqdfQtOiicO21cPTRMNtscMklsOqq8P/+n6X2%0AkiRJkgYMk3oNXcOGwXe/C3fdBWutBa++Cl/6EnzmM/DCC1VHJ0mSJEkdMqmX1lorJ/a//GUutb/8%0A8lxqf9ppltpLkiRJ6tdM6iXIyfwPfgD/+hesvz5MmQJjx8Jmm8GDD1YdnSRJkiSVMqmX6q26Ktx2%0AGxx1FMwxB9x8cy7JP/hgeOONqqOTJEmSpFmY1EuNRoyAgw6Chx/O7eunT89J/iqrwMUXWyVfkiRJ%0AUr9hUi81s+SSuVf8yy+HpZaCCRPyo++22QYeeKDq6CRJkiTJpF7q0Hbb5Xb1P/whjByZH4W35pqw%0A994+216SJElSpUzqpVbMOSf84hfw0EOw884wYwb86U+w/PJwxBEwbVrVEUqSJEkagkzqpc5Ydln4%0Ay19g3DhYbz14/XU49FBYcUU444zc/l6SJEmS+ohJvdQVG20Ed94J55wDiy0Gzz0He+4Jq68OF1yQ%0AS/IlSZIkqZeZ1EtdNWwYfOlL8OijuXf8+eeHRx6BXXeFddeFv/3NnvIlSZIk9SqTeqm75pwzPwLv%0AqafgJz+BeeaBe+/NHex97GNw9dUm95IkSZJ6hUm91FPGjIGf/jQn9wcdBKNGwe23wyc/CeuvDxdd%0AZLV8SZIkST3KpF7qaRK0HDYAABx+SURBVAsskKvjP/kk7L8/zDEHjB8PO+2U29yfc44d6kmSJEnq%0AESb1Um9ZZBE49lh49ln4/vdh9Oj8SLzdd4cVVoATT4Q336w6SkmSJEkDWKQh1tY3IkYDU6ZMmcLo%0A0aOrDkdDyZQpcMIJOdGfNCkPm28++PrXYd99YdFFq41PkiRJUq+YOnUqY8aMARiTUprak/O2pF7q%0AK2PG5BL7Z56B446DZZaB116DI46ApZaC3XbL1fQlSZIkqUUm9VJfm2su+Na34LHH4OKLYZNNchv7%0AP/8Z1lsv/3/++fDOO1VHKkmSJKmfM6mXqjJ8OOywA9x8M9x9d37m/YgRMG4cfP7zsPjiM0v2JUmS%0AJKmEbeql/uSFF+Ckk+Dkk+HFF/OwiPxYvL33hm23zTcDJEmSJA0Yvdmm3qRe6o/efRcuvxz++Ee4%0A7rqZwxdfHL7yFdhjD1h22crCkyRJktQ6k/oeZFKvAefxx3Pp/WmnweTJM4dvvHFO7nfZBeaZp7Lw%0AJEmSJLXPpL4HmdRrwJo2DS65BM44A669Fmr77pxzws475wR/001hmF1lSJIkSf2JSX0PMqnXoPD8%0A83DOOXD66bkX/ZrFF4ddd80d7a2zTm6PL0mSJKlSJvU9yKReg0pKcMcdufT+vPNgat3xYfnlc3L/%0AhS/AyitXFqIkSZI01JnU9yCTeg1a06bBlVfm5P7yy/P/NWuskRP8z33ODvYkSZKkPmZS34NM6jUk%0AvP46XHZZTvCvuSb3pl+z+urw2c/CjjvmZN8q+pIkSVKvMqnvQSb1GnImT4aLLsoJ/k03wXvvzfxs%0A6aVnJvgbbmgne5IkSVIvGPRJfUTsAxwELAw8COyfUhrXZNwdge8DywGzAY8Dx6SUzm5xWSb1Grpe%0AfRWuuAL+f3t3HyVXfd93/P3dlVYP6AmDhABJiCeDwNjYwhCcgnh2jd3G2OkhTY5jjhtiQ5s4D60J%0ApI7pidMkPa6Lg2P7tInjQhLspLVxqE0AJYeHGsFBEB7EYwEJCz0hHrRCT7ta6dc/fneYu7Mzq9nV%0ArGZn9/0653fmzr2/e+c3O78zO597f/feH/wgH8EvD9E/6ij4uZ+Dj34ULroIZs1qXzslSZKkCWRC%0Ah/qIuBK4FbgW+AnwWeBXgNNSSj+tU/8C4HDgOaAf+BjwX4GPppTuauL1DPUSwM6dOdh///s56Pf2%0AVpf19MAFF8Dll+eQf9JJbWumJEmS1Okmeqh/GHgspXRNad6zwO0ppeub3MZjwI9SSl9soq6hXqrV%0A35+H5t9xB/zoR7B27eDlJ5+cw/3ll8P558O0aW1ppiRJktSJJmyoj4geYBfwr1JKPyjN/xpwZkpp%0AxQHWD+Ai4O+Aj6eU7qlTZxpQTiCzgVcN9VIDKcHzz+dw/+Mfw/33w8BAdfnMmbBiBVxySS5nnOHF%0A9iRJkqRhTORQfwywAfjZlNKDpfk3AJ9OKZ3SYL25xXrTgH3AtSmlbzeoeyPwpdr5hnqpSdu3w8qV%0A1ZC/efPg5QsWVAP+JZfA4sXtaackSZI0Tk2GUP+hlNKq0vzfBT6VUjq1wXpdwAnALOBi4IvkI/X3%0A1qnrkXqpVfbvhzVrcsi/5558FH/XrsF1Tjklh/sLL4TzzsuhX5IkSZrEJnKoP6jh96X6fwYsTil9%0AuIm6nlMvtUpfHzz0UDXkP/JIDv5ly5bl8/BXrMiPxx7bnrZKkiRJbTJhQz28c6G8R1NK15bmPQP8%0AcAQXyvtz4MSU0gVN1DXUS2Nl27Z8wb2VK+G++/JR/VonnFAN+CtWwNKlnpMvSZKkCW2ih/rKLe0+%0AB6wCfhW4Gjg9pfRKRNwCbKgE/Ii4HlgNvAT0AJcDfwxck1L6syZez1AvHSpvvAEPPJCH6d93Hzz+%0A+NAj+cccA+eeWy0f+ABMn96e9kqSJEljYEKHeoCIuBb4AnA0sAb4zZTS/cWye4F1KaWriudfBq4E%0AFgG7yfer/1pK6XtNvpahXmqX3l548MEc8O+/Pw/XL19ZH6CnJwf7ctBftKg97ZUkSZJaYMKH+kPJ%0AUC+NIzt3wurVsGpVtWzdOrTeokU53J9zDpx1Vg79s2cf+vZKkiRJo2CobyFDvTSOpQQvv1wN+A8+%0ACE8+OXTIfgScemoO+JVy5pkwc2Z72i1JkiQNw1DfQoZ6qcPs2FE9mv/II3l6/fqh9bq64PTTqyF/%0A+XJ473thxoxD32ZJkiSpxFDfQoZ6aQLYsgUefTQH/NWrc9jfvHlova4uOOUUeN/7quXMM2HhQq+4%0AL0mSpEPGUN9Chnppgtq4sRryK4H/tdfq150/vxrwK2H/1FNh6tRD22ZJkiRNCob6FjLUS5NESvno%0A/RNP5PL44/nx+eeHnqMP+ar7p52Wh/CXy/HH5yP+kiRJ0igZ6lvIUC9Ncrt3w5o1g8P+k0/C9gbf%0ArTNmwLJlQ8P+cccZ9iVJktQUQ30LGeolDZESrFuXw/3TT1fLc89BX1/9dQ47rBr2ly3L5+6fcgqc%0AeGI+6i9JkiQVDPUtZKiX1LSBgXyLvXLQf/rpPIS/v7/+Ot3dech+JeSXy1FHeYE+SZKkSchQ30KG%0AekkHbWAAXnxx8BH955+HF17It+BrZM6coUH/xBNzyV/ykiRJmoAM9S1kqJc0ZlLKV+F//vmhZd26%0AvLyRI4/M4f6kk6pBvzK9YIFH+CVJkjqYob6FDPWS2mLPnnx0vxz0X3gBXnoJtm4dft1Zs6pBvxz4%0ATzgBFi3yVnySJEnjnKG+hQz1ksad7dvzufsvvZSD/0svVctPfzr8Ef6urhzsly7N5bjjqtNLl8Li%0AxYZ+SZKkNjPUt5ChXlJH6evLQ/crIb8c+teubXx1/oquLjj22KFhv1IWLYJp08b6XUiSJE1qhvoW%0AMtRLmjD274fXXsuhv1JeeWXw8z17Drydo47K4X7x4mopPz/mGI/2S5IkHQRDfQsZ6iVNGikNDf21%0AOwB27z7wdiJg4cKhYb/8/OijYcqUsXw3kiRJHctQ30KGekkqpASvvw6vvgrr1+dSO/3qq9Dff+Bt%0AdXXlI/5HH52P7JdLed78+dDdPfbvTZIkaRwx1LeQoV6SRmD//nx1/uGC/4YNsHdvc9vr7s7hv1Ho%0ArzyfPz/vKJAkSZoADPUtZKiXpBarnNu/cSNs2pQfy6Uyb8uWXLcZ3d2wYEHeAVCvLFxYnT7iCI/+%0AS5KkcW0sQ70nQEqSDk5XVw7ZCxcOX29gIIf/4YL/xo25zr59ed6mTc29/vz5wwf/SjnySM/9lyRJ%0AE4pH6iVJ48vevTnYb9kyuGzePHTeG2/kawM0KwIOPzyH+/nzcznQ9MyZY/deJUnSpODw+xYy1EvS%0ABDIwkM/5b2YHwNatI9sBUDFzZjXgH2gHwBFHwLx5jgaQJEmDGOpbyFAvSZPUvn3w5ps53G/dmq/8%0AXztdnrd1a3NX/q9n7twc8N/1rupjebrevHnzvDaAJEkTlOfUS5J0sLq7q0fWm5ES7NjROPTXm+7t%0Azev29uby8svNty8iB/tmdgTMm5fL4Yfnx+nTR/73kCRJE4JH6iVJapWBAdi2LZ/r/+ab1cfydL1l%0A2w9yh/20adWAXw77zUzPnevpApIkjTGP1EuS1AmmTMnn1x955MjW27sX3npr+J0A5elt26olJejr%0Ay9cR2Lx5dO2eNatx+K8E/zlzhj5Wpg87LN+FQJIkHXKGekmS2m3qVFiwIJeR2L8f3n67GvDfemtw%0A4C8/rze9Y0fezo4duaxfP7r2RwwO+cPtABjucfr0vC1JktQ0h99LkjRZVU4XONBOge3bc+ntHfo4%0AMNC69kydOngHwOzZ1TJrVuPnjZZ54UFJ0jjh8HtJktR6oz1doCIl2LOnGvIbBf/yY6N5KeXTEN54%0AI5dWmDFjdDsDaqcPOyw/7+lxJIEkadwx1EuSpNGJyMF5xgxYuHD029m/H3buHBr83357cNmxo7nn%0Ae/fm7e7encvWra15v93dOeCXy6xZzc070Pyenta0UZI06RjqJUlSe3V1VY+Kt0Jf39DQ3+wOgXrP%0A+/vzdvftq+50aLUpU0a2Y2DmzMFlxozhn0+f7sUMJWmCMtRLkqSJZdq0XEZ7WkGtvXth164c9Hfu%0AHFzqzRvJ/MqogoGBPDqht7c1ba5n+vSR7Qiofd7sOl7LQJIOKUO9JEnScKZOzRfuyxc4aq29exvv%0ABBhux8Du3XlHQ6XUPq/M6+urvtaePbm8+Wbr30dZT0814E+f3vhxuGXNPpanHYkgaZIy1EuSJLXL%0A1Kkwb14uY2HfvmrgP9COgJE+L8/bvbv6mv39uWzbNjbvqZGenoPfMVApldEeI5l2hIKkNjHUS5Ik%0ATVTd3fk8/FmzxvZ19u/PowDKwX/37uq84R6bqdPosXxLxcrOhLG45kEzurtHv0OgldPuYJAmHUO9%0AJEmSDk5XV/W8+iOOOHSvOzBw8DsGauf19eWyZ8+Bp/fvr7Zl377qKRLtNmVKHrkwbVp+HG56tMsO%0Apt6UKd4eUmohQ70kSZI605Qph2YkQj0p5Z0KlYDf7I6AsZpOqdq2gYFcdu069H+XZh3sjoGpU3Pp%0A6Rk6XW9eM9PDLe/udkeExi1DvSRJkjRSEdXQ146dCmXlHQyVsF85HaHR9HDLmq3X7Db6+gbvdIDq%0Ask4y1jsOml1v6tS8Q6ve43DLpkxxlMQEZaiXJEmSOtl42sHQyMBA63Yu9PXlO0fs3ZufNzs9krr7%0A9g19D5U6na4S7g+0A6CZnQTN1hmruuXpGTMm7Q4LQ70kSZKksVUJkjNntrslzdm/f+x3HIx2vYGB%0A6rzKdKPHeiqnZ+zZc2j/pmOttxfmzGl3K9rCUC9JkiRJZV1d1bsJdKqU8oiDAwX/kewkGEndQ7G9%0A8mkdUyZvtJ2871ySJEmSJqqI6giJ6dPb3ZqxURlRMTCQh99PUoZ6SZIkSVLnmQgjKlqgq90NkCRJ%0AkiRJo2OolyRJkiSpQxnqJUmSJEnqUIZ6SZIkSZI6lKFekiRJkqQONS5CfURcGxFrI2JPRDwaEecN%0AU/fqiHggIt4qysqIOPtQtleSJEmSpPGg7aE+Iq4EbgL+AHg/8ABwZ0QsabDKBcBtwIXAucBPgbsj%0A4tixb60kSZIkSeNHpJTa24CIh4HHUkrXlOY9C9yeUrq+ifW7gbeAf5dSuqWJ+nOA3t7eXubMmXMQ%0ALZckSZIk6cC2b9/O3LlzAeamlLa3ctttPVIfET3AcuDumkV3Ax9qcjMzganAmw1eY1pEzKkUYPZo%0A2ytJkiRJ0njS7uH3RwLdwJaa+VuAhU1u44+ADcDKBsuvB3pL5dWRN1OSJEmSpPFnSrsbUKg9ByDq%0AzBsiIr4A/GvggpTSngbV/hD4aun5bODV7dtbOuJBkiRJkqS6xjJ/tjvUvw7sY+hR+QUMPXo/SET8%0Ae+AG4JKU0pON6qWU+oC+0nqzARYvXjzKJkuSJEmSNCqzgZYm/LaG+pRSf0Q8ClwK/KC06FLgh43W%0Ai4j/APxH4MMppdUjfNmNwCLg7RGu1w6zyacLdEp7NT7YbzQa9huNhv1Go2Xf0WjYbzQa46nfzCbn%0A0ZZq95F6yEPjb42I1cAq4FeBJcC3ACLiFmBD5Ur4xZD73wd+EVgXEZWj/DtSSjsO9GIpX+5/Q8vf%0AxRiIiMrk262+QqImLvuNRsN+o9Gw32i07DsaDfuNRmOc9Zsxef22h/qU0vci4gjg94CjgTXA5Sml%0AV4oqS4D9pVWuBXqA/1Wzqf8E3Di2rZUkSZIkafxoe6gHSCl9A/hGg2UX1DxfegiaJEmSJEnSuNfu%0AW9ppeH3kEQh9B6ooldhvNBr2G42G/UajZd/RaNhvNBoTvt9EPsVckiRJkiR1Go/US5IkSZLUoQz1%0AkiRJkiR1KEO9JEmSJEkdylAvSZIkSVKHMtSPUxFxbUSsjYg9EfFoRJzX7jZpbETE+RFxR0RsjIgU%0AER+vWR4RcWOxfHdE3BsRp9fUOTwibo2I3qLcGhHzauqcERH3FdvYEBG/FxFRU+eTEfFMRPQVj1eM%0A3TvXwYiI6yPikYh4OyJei4jbI+KUmjrTIuLmiHg9InZGxN9FxKKaOkuK/rezqPcnEdFTU2dF8T20%0AJyJejojP1WmP31kdIiKuiYgnI2J7UVZFxEdKy+03Glbx/ZMi4qbSPPuNhih+v6Sasrm03N84qisi%0Ajo2Iv4yINyJiV0Q8HhHLS8vtO2UpJcs4K8CVQD/wK8Ay4CZgB7Ck3W2zjMnn/RHgy8AngAR8vGb5%0AdcD2Yvl7gO8CG4HZpTp3Ak8B5xblKeCO0vI5wGbgtmIbnyi2+dulOucCA8D1wKnF417gnHb/jSx1%0A+83fA1cBpwPvA/4P8ApwWKnON4FXgUuA9wP/CDwOdBfLu4u+8o/F8kuADcDNpW0cD+wsvoeWFd9L%0A/cAnS3X8zuqgAvwL4HLg3UX5g+LzO91+Y2mi/3wQWAs8AdxUmm+/sdTrLzcCa4CFpTK/tNzfOJZ6%0A/eZwYB3wF8DZwFLgYuBE+06Dv1m7G2Cp86HAw8A3a+Y9C/xhu9tmGfPPflCoBwLYBFxXmjcN2AZ8%0Atni+rFjvnFKdnynmnVI8v6ZYZ1qpzu+Qf1BVbm35PeDOmvb8PXBbu/8ulqb6zvziMz+/eD6X/MP3%0AylKdY4B9wIeL5x8pnh9TqvMLwB5gTvH8j4Fna17rW8Cq0nO/szq8AG8C/8Z+YzlAP5kFvEAO5PdS%0AhHr7jWWYPnMj8HiDZf7GsTTqN38EPDDMcvtOTXH4/ThTDENbDtxds+hu4EOHvkVqs+PJe7Xf6Q8p%0ApT7gPqr94VygN6X0cKnOQ0BvTZ37inUr7iL/6FpaqlPb7+7Cftcp5haPbxaPy4GpDO47G8lHTMr9%0AYk0xv+Iu8j/G5aU69frFWREx1e+szhYR3RHxC8BhwCrsNxrenwI/SimtrJlvv9FwTi6GSK+NiO9G%0AxAnFfH/jqJF/CayOiL+NfIrhP0XE1aXl9p0ahvrx50jyELUtNfO3kDuvJpfKZz5cf1gIvFZn3ddq%0A6tTbBk3Usd+Nc8W5X18F/m9KaU0xeyHQn1J6q6Z6bd8Z9JkX9fuHq1M8n0L+vvI7qwMV5xDuAPrI%0AR0KvSCk9g/1GDRQ7f5aTh57Wst+okYeBXwY+DFxN/pwejIgj8DeOGjuBfBT9/5H7zreAP4mIXy6W%0A23dqTGl3A9RQqnkedeZp8jhQf6jXNw5UJ+rMt991pq8D7wX+WRN1W9136vWjetvQ+PI8cCYwD/gk%0A8D8jYsUw9e03k1hELAa+BlyWUtozklWx30xqKaU7S0+fiohVwEvAp4GHKtVqVvM3jrqA1SmlG4rn%0A/1RcBO8a4JZSPftOwSP148/r5HPOavf+LGDoXiJNfJUrxA7XHzYDR9VZd35NnXrboIk69rtxLCJu%0AJg9TuzCl9Gpp0WagJyIOr1mltu8M+syL+lOHq1NsYwB4A7+zOlJKqT+l9GJKaXVK6XryRc8+j/1G%0A9S0nfzaPRsRARAwAK4BfL6a3YL9RE1JKO8kXKzsZf+OosU3AMzXzngWWFNP2nRqG+nEmpdQPPApc%0AWrPoUuDBQ98itdla8pfJO/2hOKdwBdX+sAqYGxFnl+qcQz7Hulzn/JpbB11GvkroulKd2n53Gfa7%0Acam4lcvXyVdqvSiltLamyqPkq7OW+87R5Ku7lvvFe4r5FZeRh2Q/WqpTr1+sTint9Ttrwgjyuc32%0AG9XzD8AZ5NEdlbIa+KvStP1GBxQR08gXMNuEv3HU2E+AU2rmvZt8lx+w7wzV7iv1WYYWqrdr+Qz5%0Ai++/kW/Xcly722YZk897FtUfSQn4zWJ6SbH8OvKVOa8g/0D6a+rfsuMJ8lU9fwZ4ksG37JhL/vL7%0A62IbV5AvFFK+ZceHyEdDriPfsuM6xuEtOyzvfF7fKPrFCgbfKmhGqc43gfXk28C8n/zDvN4tplYW%0Ayy8u6te7xdRXi++jz9D4FlN+Z3VAAf4zcB75IkBnkG9ptw+41H5jGUE/upeht7Sz31hq+8lXiv9T%0AxwPnAHeQbxl2XLHc3ziWev3mg8XncwNwEvCLxXfDL5Xq2HfKf7N2N8DS4IOBa8l7iCp7sM9vd5ss%0AY/ZZX0AO87XlO8XyIN8SZhP51j/3Ae+p2ca7gL8s/lFuL6bn1dQ5A7i/2MYm4EsUt+so1fl54Lni%0AB9OzwCfa/fexNOw39fpMAq4q1ZkO3EwetrqL/GNqcc12lpDvcb+rqHczpVu7FHVWAI8V30drgc/V%0AaY/fWR1SgD8vfVavkUPWpfYbywj70b0MDvX2G0u9flK5d3g/+TZh/xs4rbTc3ziWRn3nY+QdgXuK%0Az+vqmuX2nVKp3H9PkiRJkiR1GM+plyRJkiSpQxnqJUmSJEnqUIZ6SZIkSZI6lKFekiRJkqQOZaiX%0AJEmSJKlDGeolSZIkSepQhnpJkiRJkjqUoV6SJEmSpA5lqJckSQctItZFxG+0ux2SJE02hnpJkjpM%0ARHwnIm4vpu+NiJsO4WtfFRHb6iz6IPDfD1U7JElSNqXdDZAkSe0XET0ppf7Rrp9S2trK9kiSpOZ4%0ApF6SpA4VEd8BVgCfj4hUlKXFstMi4scRsSMitkTErRFxZGndeyPi6xHx1Yh4HbinmP9bEfFUROyM%0AiPUR8Y2ImFUsuwD4C2Bu6fVuLJYNGn4fEUsi4ofF62+PiL+JiKNKy2+MiMcj4lPFur0R8d2ImF2q%0A8/NFW3ZHxBsRsTIiDhurv6ckSZ3IUC9JUuf6PLAK+B/A0UVZHxFHA/cBjwNnAf8cOAr4m5r1Pw0M%0AAD8LfLaYtx/4deA9xfKLgP9SLHsQ+A1ge+n1vlLbqIgI4HbgXeSdDpcCJwLfq6l6IvBx4GNFWQH8%0ATrGNo4HbgG8Dy4ALgO8D0cwfRpKkycLh95IkdaiUUm9E9AO7UkqbK/Mj4hrgsZTSDaV5nyEH/nen%0AlF4oZr+YUvpCzTbL5+evjYgvAt8Erk0p9UdEb65Wfb06LgHeCxyfUlpfvP6ngKcj4oMppUeKel3A%0AVSmlt4s6twIXA79L3mEwBfh+SumVov5Tzf5tJEmaLDxSL0nSxLMcuLAY+r4jInYAzxXLTizVW127%0AYkRcGBH3RMSGiHgbuAU4YoTD3pcB6yuBHiCl9AywrVhWsa4S6AubgAXF9BPAPwBPRcTfRsTVEXH4%0ACNogSdKkYKiXJGni6QLuAM6sKScD95fq7SyvFBHHAT8G1gCfJO8c+LfF4qkjeP0AUhPz99YsT0Xb%0ASSntIw/b/wjwDPBrwPMRcfwI2iFJ0oRnqJckqbP1A9018x4DTicfCX+xpuwcuol3nEUe8v7bKaWH%0AimH6xzTxerWeAZZExOLKjIg4DZgLPHvgt5Sl7CcppS8B7y9e+4pm15ckaTIw1EuS1NnWAedExNKI%0AODIiuoA/JV+k7raIODsiToiIyyLi2xExXCB/iRzqf61Y51PA5+q83qyIuLh4vZl1trMSeBL4q4j4%0AQEScTR7Gf19KaciQ/3oi4pyIuCEizoqIJcAngPmMYKeAJEmTgaFekqTO9hVgH/no+FZgSUppI/mK%0A9t3AXeTh9F8DeslXt68rpfQ48FvAdcU6vwRcX1PnQeBb5CvZbwW+ULMZUkqJfFX7t8jD/VcCLwNX%0AjuB9bQfOJ58O8ALwZfIIgjtHsA1Jkia8yP93JUmSJElSp/FIvSRJkiRJHcpQL0mSJElShzLUS5Ik%0ASZLUoQz1kiRJkiR1KEO9JEmSJEkdylAvSZIkSVKHMtRLkiRJktShDPWSJEmSJHUoQ70kSZIkSR3K%0AUC9JkiRJUocy1EuSJEmS1KH+P3dmZs6UbbVvAAAAAElFTkSuQmCC" alt="" width="710" height="270" />

更多的迭代次数会使得损失下降的更多!

In [34]:
theta = runExpe(scaled_data, theta, 1, STOP_GRAD, thresh=0.002/5, alpha=0.001)
***Scaled data - learning rate: 0.001 - Stochastic descent - Stop: gradient norm < 0.0004
Theta: [[ 1.14904527 2.7920262 2.56725991]] - Iter: 72624 - Last cost: 0.22 - Duration: 9.14s
 
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7gIOw1YI7rX5b2OfMfp3MhttczfZlytBP6WIpari33NnFLb/t9fEkO3Zdfw/7e0HCLi3eR9wV+K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" alt="" width="701" height="261" />

随机梯度下降更快,但是我们需要迭代的次数也需要更多,所以还是用batch的比较合适!!!

In [35]:

runExpe(scaled_data, theta, 16, STOP_GRAD, thresh=0.002*2, alpha=0.001)
***Scaled data - learning rate: 0.001 - Mini-batch (16) descent - Stop: gradient norm < 0.004
Theta: [[ 1.16033549 2.81496841 2.59589695]] - Iter: 2393 - Last cost: 0.22 - Duration: 0.40s
Out[35]:
array([[ 1.16033549,  2.81496841,  2.59589695]])
 
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LLJCXpG3E1Eg7NtApTWcRBxwf6eGVxvM5uPuLl/wt3fTebdhThJ11KbnN8jrxrVZsAviLcLXxIR%0A/W2sQn36jGWT73fyRrr7MOLCdKLl1Buu0lSiGO+axANNOVsQx/xdTVxONZYlAjyjcsaVHhqvIo6t%0AKcz4cQVVHFtW145DY+1glOrQZgOaEKWSyranUmn65Abm/cz0qxJvzj0zj1dS42vpJeIGMh2s6we8%0A4e5VtUmR8iNRgmkd4nzQrFK/eycz25Co7vMGkf90ulJAdpi7f0jsiwvT9CBaqcpG0WtMufNPtYGd%0AzYm3x48WXG7aJsQ+uaVFvelpyc3Q+ZbTPgtR0nBNK9MGVLXc/Q0i2LpJzui8Yzl9Xn6JeMt/jpnt%0A18i1cCui2Pb/iuQvb/kVrtUnEG9BTyyyjJnofeJt9LHJDWmD9kWaoJp9vDSuYnXD5AZ5WeA7d/8x%0AGVa6oW2sDvXGRKnYGb5+mZkBSwMfen4V0H5EqZ07qHsQLvLSouQu4h60mjYPcs8JSV7rSV643QAc%0APqPHYzUKLK/0+2erYacNoa6aTyXdiVLHufdOxMuEB6n/u/Ql9v/cQHI1zGwFi3Zc3iaqvOxIBAX+%0A3Mh0bYjqaHn3Dq8QRfBXqDD9EsSLj3LTL2517W6Vu88YTwRasu2J/QL4GxHIHVdpPZpJtffXKxIB%0AwsuIKqXXp8b1pq4K51bAw8mz3kNESdZLgN8QL1oPBe61hm3YNJhHmfwOIu4D6rVTY9Em0mYkQSIz%0AW504J4wlApzbEdVwmutZek/i5fJbxPGxAbB1suyOwCNE9a3LkmWfQVRpeyBn+5Zb92WJF1N7EM9h%0ANyZp0lVly+Yjj5mtS5RS6wYclORpLHCbmeWdNy8hgsP7AIcRVW5vLjf/PK01eHEcUT/+z0TRlklm%0A9lQSUUo3rFRqjOvDamecRH+2AO5w93Hu/j5RB23X5EG8qcYSD5npz9sVp2ioVK+/2wzkI3c+FlHL%0A3Ygi2G+4+wSibummM3gDtDtxc1d6m38DcfPZHA+tM+JCGv4eU3MebtMP3BDr0ZZoCyBP6aQ9j5lt%0ATNSVf4WoC1/Occz4W5RbiKoOZ1r5N1pLJd8N2oeo4iKTKzVNV4tG/n5DFAn9NpOuM/HQ+Ji7v+/u%0A35C0RdMMwbjXaPhbZt+0/pR8soGCrNIb1G9yxn2TGt8c0y9UIR00vqxZYRDQJwkKdCQuak19q3Uj%0AEUz4W4WAc1P0pO53n0gUjZ1GVMfJls7bk3joL52PrmfGgmiFrzGJK8k5/1D9OWAD4g1bxTrUjViC%0AuAZcSdwA9ibeLg4ggtdZpXryzdHeykfAIjnnmqHkn5fngp/fQv6BODauBkab2ViLN2dbZObVHfio%0ACaUN8n6X3PZK3P0dYvv1L/rmaGZIHsR3J851lwDvJW+2bjOzppairGYfL43rnhluqWvEUkmelqF+%0AG0/Tk/w29jvNyPUrnY8libYClqZ+W12lhGsQLwJucPcp7v4scSO/bxPOW0Xu2U4mf98r99BwMnEv%0AckrBPDVVNcvrDkxMXvSUU25fKd07dTCzVYh7ri+p3N7cIGBrM+uWBHn6AtfllcquxKKRzaPMbCTx%0AwLY/EXhax917uPtJ7t5YG1rzEm2dNfWa3ti9QzpN1fcZyXa5AnjE3Qs9IM6A3OubNWx4dBFgR3e/%0A3N2HZV6KLAhs7u7XJ+NeJqra9gT6u/tZ7v6wu59JlOruRQSaaGQeeR6lrs2xtP2I81Lp/n194hj4%0As7vfm8zzWnffrfFN0rgkSDgRmOTuzySfkcnoA5Ll7+ju57j7I+5+KRFEWZ+GpW1y193dD3L3K5JS%0AdI8SJS9PIa5h7avIR56/E891vdx9sLvfTfwWzxIlwrPnzSfc/WB3f9Ddr0mWv56ZLV/ttmqVwQt3%0A/9rdNybqvx5HRHl/STRW86rNWCv8+xPbJX2DPoi6RpuaqjeR3/SnaOmD5ipunTefPkR95Ox6pxu3%0Aa4p+xNuvWwCSh9o7iMb0Kt7sWfQS06SSKlX4Jw1/j3WJt7Wl5S9AFJd9NHlLCxH1/QTYP++NCLEv%0ATiUaVXycuJht5+4Ty2UkOVFczwy8RUne3h9LXcNaVbNoCTt7kamm5fuFUtN8SQSErnb3M3LS7kmU%0A9snuX22IG44Z8Xsa/o690gnc/Vh3b9fICbjeJAWHN3X6SvOrdlkV5RxHRc77NxBvDvsQx8K85FRV%0AqEZqH12eeHNSlSry/xp1v/sGRDS/DdFIWvYGuR9RpeT2JE9fEzepW1n1pamaw2nkn3+uqXL6bsC3%0AZd4aV6sN8Xse6e4Dkxuc04mHhR2sYS9JXyTfzbGdSufO7D5+MPnbZUopgbvfSDSiuxvxEPoB8cA+%0A1MxObYa85S2/b4X0pxLBsjMrpGkyi95Dqj5+3f1/xIP5DkQx7BeJtmdutZyeIZorm6XFZ4ZvQt01%0A4mPiXuIyUlWG3P325Nx8aZMWHDe82evXMhXyMZp4U3uMu9+SM8tS47/Za9UiZN7MVpO9AmkvJ3/f%0AG56X2KMB8EuAfhbVHWeqZlxeuX2lFLyZQpzT1yfaF6v0ku8uooTMfsQ1fzkKBtfN7EIiyHQkEaT8%0ANdFezdEF7hfSZvSa3hz3BOl0BxElHgtXTbbQlBdb5a5vozLp3qsQUHgqCVanbU4EOq/PDC9dN7MB%0A7Lx5NJDcm1wDbGdm6WpK+wEPeV1DqSOIbXu9me2RBGRnle2Ja93wzO/xKHHM9Mqkz113M/u1RfWO%0Ab4ltORU4n3jGzd4vNSp5LtsEuDN5KQn8vE2vJaqHr56ZLFt6rlSCqOoXAK0yeFHi7iPc/Wx335W4%0AmbuAiOqX3l6Veo5YNmfyBpKbgr5EY0MjzWyB5AF2KPEwOiOlBV5O8pv+VOxmNUfph62mdeii8+lH%0ARM4eSK33K8TJpm9TAgdJ9LwnsaN2SM33Vqp7aP079W9KXq+cvJCPc36PEV6/Jf1SvddbUnnvTARi%0Alie/2PPh1D08n0PcZA+p4o1N6a3GqU1dIXd/lGjl+yTLr4JSOh6yJ4hXKf7wBPEQuC5R5GtHojTU%0A/mZ2WE7afsQxNDS1LUcQ++AfygSCqvV6zu/Y1DfSpRIbeW9IupD/pqOp039dIR1VLKtaN1P/OKq6%0A2HVSxPQO4m13P6Ih4C8qT1Vxfg8T59O/Vhkgg8bzPyn1uz/j7tcTD25Lk+qlxqINkbWJEj8dU/vh%0ALcSx17cJq1ToGpMyKu/8Q5TQq8bcxPl6RpT21Qczw+9PvrPdL5eWl1elpKilgS+8Yc89b5c5L9e7%0AaXf3Ce5+s7sf7u4bEsW1PwZOTgWAPwa6FwzWUWb5b1VIP5a499jTolhxc3uZ+vv/OY1N4FFi4O4k%0AaLs5cV/0ArCfma1XcPnV7OPLJN/Z3kZeIK4R6wCrAPMnb/6a0hNEuevXaOquX+V6wyjloycRSH8X%0A+KdlutZNSvjsSbzE+DB1jribuNEveg9Y5J7t0zL73ncVpvkbcV39e8F8NVVjy/sYmLeRF4jLJN/Z%0AfaUUvPk18Bdie99e6YWOR9Wj64mgWD+ivYmivYxNIKo1zkO087YATeuJcWIyn6Ze0xu7d0hP/3Vm%0AeDbtNwBmtghxvvgHMDG1P7cjSrosYPlVBEt2oWkvtnKvb96w151KvZ7kjSu1d1gvaO/Rls54Gm67%0AIr2qXEXcB+wNYGabEMGwn9sVSYJZ2xG/8yDgYzN7y8xm5AVvtRYlqrBnS7RMIarTZY+5Butu0bXw%0A/4hAxcHEsbYuddUem3Jtn494SZu3rUvnvezvki0ZXXo5UfXyW3XwIi3ZmU9L/i3V93qU+HGrLeHQ%0Am7jYdCM27rjkM4b4sdc3s5WbK89FJCeY3sD7ntMQUoH5GPBb4gI0Ihn2S6JHkLmIi8+41GcZ4k1b%0A2fpOFZQu9Htl5llqJK1c6YWS/6N+1LY5Gg8topT/f1E//4dnxqe9l5ykH3P3Y4mL/TpE9Lssd/+Y%0AeKvxByrUi6xCqWGtvIZd/0cUgatXv9/df374o/qHJ4BpyXTPu/tdRL26d4iqK4uVEpnZasQ26ESc%0AzErb8WviWFuWqFfYEryafK+WM2414o1Q4ektqmUtl5n+VWDVnGOgNG3R4GY5x1D/OMoLLlUyiDg/%0AbE7zNIR2LFG/tNoGGwvn36OBzB+oH/EvvVHdj/rHc6kobVOCaKVuOWd1Gz5fkX/jWkRe3WqoezOa%0ALcZfWt5XzIDkGroc0YZGs/CovnEtcU9TaljxQSLYvHlzLaeCc4jz2VmNJWyC3ai//w8sOgN3/4zo%0AeQ2Kt6UzNPmutI+XxmXrlE9IrhEjPaqjTslOWMATRAAte/2akrp+lbs3KuXjuaTkzhbEw+YlmRcL%0AOxPFrVem/jniHeLBZtuCpSN3IB50ni4wTdWSN51nAzsnJShnqiqWV/r9K+0rOxLbPrtNSsGb4e5+%0AEfEQuTDx4F3JlURD4HvQhOuTu59EPBgeTtzr3gV8bmZXmNmW1b6486ie9jrl7x2mUaGqePJ2f1yF%0A6T9Lvdkud58xP/H2vHTv0J14uPw79ffnrYlqWOOI++xyHqFh6Ynm6tIZipcy+Rromn0ZmNxfzU/D%0Aa1PVpVeTkkWPUlfSfH8iCHRXJt0D7r41cW3ZmPhNB5lZ72qX1URfEW0a5ZVoWZdo56teVnPm0YcI%0AXG3vUb1jeHLenJEG4UvBv7zzYqm63AzdM+RplcGLCheP0k3Lp/DzG5EriDpx+5aZV7pV/37Ej7gT%0A8TCV/uyTpGlKo00zJDl5XkxEryrV/6vGKcSF+cJUFLT0EH4ADdd7OyIAVGi9k5PL3kQ/99l5bkac%0AMEvti+Ry9zGZqG1zlryoyOrqvd5Ifv6fAHYpU8Ih7UyiSOKJjUS4IQIdE2n8Yl2W1zWsdQTRxVZ6%0A3EfEW4qdzayxXjOasuwfiDcmnah/Ik0/NGa34w7EMTfLj6s8yUPQG0T95p8fZJML0xIk1Q0qeIy4%0AIeibGb4nUf0iPf0dxM3Zdpm0+xFBynIPl4W4+weZ46hozxePEPvUTdS9lZ+R/LxAtKlwFDm90uSk%0AL5z/JCA7N0lVB4v2OvYiburyjudLibcaFXtLyMnb20TJjT3MbPsyeVnNCtTlrNJbwFxmNiPtH5WC%0AyNtmhpf2x2czw3+RfL9BEyXnyyuIt6qN9nKSM/2CluklK6Xe9Z+4xowHLrIyvYFYpjX0pvJoI+pM%0AovvqZg2WuHu2ZFnZlxcWbS2VuyZlt0+1y3+TOG/tYWYNGuQ0s7WJluyfdPfHisy7YD6+JY7TTc1s%0AhtrMcvfRRGN3y1P/XF0qgbo1Dc8RA6jc3lU9ZnYU8VDxb4+GFGeWgcQLtkZL5MyC5V1LlKg43XLa%0AsjKzQ4jSbwOTt+VlufudwL3APtawrYR0uteI/eJO4hpVmLuPd/dB7t6bKC17GhEYeAj4zMz+ZdEb%0AX2PuADZMrj/Azy8e+xC9HlZc52T631pdw5yl0hPbUv/e4RHiobFvZvpSlclSb3Jvk3+9ewb4PPn7%0An+Uy49HuX7b0RC16Pit5hDgGd88M3zc1fkZcBaxiZpsR1ZFvKBdwdfep7v4kca8NDUsqNtUU8ksg%0A3ENdmzJ5pVo+qGLeTlx7fywNSJ7V8kqOlMtH/RlG6cnHiP32515PkvvnfYjARbPcy6Y1pWhUS/Cg%0AmX1CFOV7izhY1yDe5E2kftHBI0h6izCzrYmD+nOiiM2WxI+2u5mNISLCDyYnzQbM7HDioeb4VLGl%0Azmb2+5zkX2Yu5GubWd4F7I1MscBFk4i2ERHTVYkDc3XgAne/PH+TNLBAKjLeiXibvzsRKbyZpNGl%0ApM7UvsCbXqb7MTO7m6gDvbBXbogpbUfiwexMjx41svN8m2iboR91b3aay5ZlLnZ3p/5epsybgy+S%0Ak0DpgfusvIdIM/s/YjvuAfynXEbcfYqZnUxc1A8Bzq2Q9hszO5sZCF4kTiYulpvSsHjWIcQJ8BaL%0A7p3uJop7dSJubnchIuvZ4txVcfcHzOx/wEFmdg5x4toLeNHLdFdsZg8QgaABnmnos0qrW35XdO96%0A0uVYsl2PBHp64/VYjyIuFDeY2RXEzczZRIOoP3eJZVEt6mWi//W/wM+/9/HAvy3q0t5BFJc+i2gE%0A+MnUcm4j6jNfZWbHEkGuvkRRvmwXU4sRpR8ggo8QF4sJxBuZ3AYFm0Nys7J3M8/2RGJf25g4H8+I%0AeVPHcjvigeQ4Yh++KBn+O6LkwMllzkfvEaWj+lG8RMABRGDrDjO7hth3vibe5m1HbLvNiB42mksp%0Aj+uTCaglgddSsKQL0YNH6Rr1okcj1BABpP7A+RaNUb9MVIU7hmi7Jlv8en2ixN7zVeZxueR3aZPk%0AY10iSLkwcKC7581nZTPLqw61U6IIAAAgAElEQVQzKnkZ0ZO4lt9IBJC/JIL6uxL70+2eVPFw988s%0AGqm8HXg5OWeX3jKtSBxrXWi4/cq9wX7F61crzPo3EbzNBoNmpe7AM2Z2E/EWcQzxRnJr4rd+lqZd%0Abw8gXjbcbWYXE6VaphP7yxHEuWvPpmQ4CSDdTPSE0Fi7F8cT+/YVZlZ6oBtN3GT/kggs/EiqjZQK%0A/o9o9P2k5LhdgjhOr/foGjubz8eIa8MfqF/CpnNqn5mHKAXQhwhi3U31jfAuWWbf+yYJqudy9x8s%0A2nqp9t5whlRanrt/n/ye9wPPm9k/iR475iWOz77Em+zTq1zcccTxdCoNH1jTy83tArMpkvPMhcCF%0AFr107Enc5/UgSj9XchFxDbnbzE4kAgxHEs8bJ6UTmtlLwGLunn7JdAZxrbrPzM4kzp1/Je7Jfr4v%0AdPdJyX3lQDP7nLjm/CpJc2Pp3JoEVYdlM2lmXwOL510Lm8lyZfblz5KXaE11C9Fezb+Te6IXiWrL%0AfyXWc0Z7IrqNeFF8LbHP1uuKNrm3W4m6tu/mI86r00n1amXRnsRb7t6U0lCvAgeb2T7E8+2PHu2C%0A/Ic4rzxqZhcQjXU7UYKmN3C5R9XxSu4jng9uTq6H8xMljvJKnJbLR54Tievxo8m99iTqGhjt5zPW%0ANlc+d291H+IHvIEoylcqsvIRscOtlJO+LfGA/ghxUzmVeCN3H3FSakPcdDjRkmu55R6UpNk5+X9Y%0A8n/eZ1iS5tQKaRzonZp/evhPxFujV4iddv0C22dUaj7Tk230VrJ9tsqk3TFJ95cK89s6SXNEzrhP%0AgCE5w+8nTrgLVJjvHcRbji7NtF8c3Mi2Xoy4aa2U5gqi+sw3RP3JcstqTzx0PZf8v00y/fY5adsQ%0AJ9kvgE7JsMFE3b1s2rmTberAuanhpXwPSA2rtMzzknF5y2hHBO0eIYILU4nSAk8TQa3Fq9jWuflP%0Axq2d7HeXEkWeHTiowrxK+2D/nHFfAYPLTDegkd9y91Tac5Nh61S5L21PPKRNJh6QLs/up0Rg0YGL%0Ac6bfn3jLP4V4gPgnMHdOugWIaklfJMt6AfhdmfyUW897muP4ydlWczWSrt66p7bHwTn53iZn+guT%0AcWMzw0cQvR5Vk9cRmW3xE/EwcxewQSrdw0Rgu3OFed1NnLPmzwzficy5Omfa9sT55/HkWJpKBAWH%0AADul0q2TzKtvmfmclYyft4p1fx24Jmf4xRX2lQGZtJ2JG+5Pievoe8SNSLsyyxtURb7WySyz1PvP%0AM0QQcLmcaX5fIc8OHJakW4y4pj6eyvME4lg9AmifM+/uxNvit4mqRJOJEoEXAstXud0cWCNJ1zX5%0A/9ScZe2RSr9Mme3zGsn9QXN/iBvu44ib69HE+WcScR9xWrn9KrX9e1WY91zEw/tI4lj6nrjBPZWc%0A46ra9Uwte0CV62jEdeV+4rw5lbhXep4ovbh0tfkg7gudeAA5I/n71xWWfWKSZpPUvEu/d+le623i%0A/vQ3ZeYxkQgOlv7vSuX9bkgq7cWA58yzLVEiytPzLvob50zTpOURRcgHEm2LTE5+nydIGsTPpC17%0APCXjBxHn9VWT/4+qdHylphsL3NqMx1a3KtN1J4Jx3ybHyDBS16LMfpl3f7Ya0XbZhORzD7BimWUd%0AmPwOU4jj/R9AxyryeA8REG6WbZOab/bcn/0MzKx/ueOy3jGSGVe6Zn1CXUPA5wLzVDuPRtbhP0le%0AX8oZ15u4TyidW78gArmb5yx7RBXLanB8JcfOPckx4+l9hDgHn0xciycD3yXb8SJgySq33x6p6UcR%0A9/y7J8tatbF8pI7X7L3Eesm2+I64zj4P7JJJk3sOSu03DZ5lyn0smVBERERaCTM7iAhSdvPKjfo1%0Ax7J6EsGHtT2q/YiIiIjMcgpeiIiItDJJXdVXgJvc/dSZvKy7ibq2e8zM5YiIiIhU0iob7BQREZmT%0AedQj3Y8opjnTmFknonpOXg9GIiIiIrOMSl6IiIiIiIiISIumkhciIiIiIiIi0qIpeCEiIiIiIiIi%0ALZqCFyIiIiIiIiLSorWrdQZmZ2ZmQDeir2YRERERERGRWWE+4FOfjRq5VPBi5uoGfFLrTIiIiIiI%0AiMgcZ0lgTK0z0VwUvJi5JgCMHj2azp071zovIiIiIiIiMpv77rvvWGqppWA2qwGg4MUs0LlzZwUv%0ARERERERERJpIDXaKiIiIiIiISIum4IWIiIiIiIiItGgKXoiIiIiIiIhIi6bghYiIiIiIiIi0aC0i%0AeGFm/c3sQzObbGYjzWzjCmkPMLMnzGxc8hlqZutl0uxsZg+a2Vdm5ma2Rs58hiXj0p/BqfG9csaX%0APus27xYQERERERERkXJqHrwws92AgcDfgDWBJ4D7zax7mUl6ATcCmwEbAB8DD5nZEqk0nYCngOMa%0AWfzlwOKpz0GpccMz4xYHrgBGASOqWjkRERERERERmWEtoavUI4Ar3f2K5P/DzGxr4E/A8dnE7r5X%0A+n8zOwD4PbAFcG2S5rpk3DKNLPt7dx+bN8LdfwR+Hmdm7YEdgIvd3fOmMbOOQMfUoPkaWb6IiIiI%0AiIiINKKmJS/MrAOwNvBQZtRDwIZVzmYeoD3wTROysFdSteR1MzvXzCoFG3YAugJXV0hzPDA+9fmk%0ACXkSERERERERkZRal7zoCrQFPs8M/xxYrMp5nAWMAYYWXPYNwIdE6YpVgX8AqwNblknfD3jQ3UdX%0AmOc/gPNT/8+HAhgiIiIiIiIiM6TWwYuSbDUMyxnWgJkdA+wB9HL3yYUW6H556t/XzOxdYISZreXu%0AL2SWsySwNdCnkXlOAaakpiuSpdrp3x8WWwz69IEePaBt21rnSERERERERORntW6w8yvgJxqWsliE%0AhqUx6jGzo4ATgK3c/ZVmyMsLwFSgR864/YGvgbuaYTkty+jR8J//wCmnwEorwS9/CZddFsNHjoTp%0A02udQxEREREREZnD1TR4kTSKOZKGVTW2JHr7yGVmRwMnA9u4e3P1/LEK0XbGZ5llGRG8uNbdpzbT%0AslqORReF66+HjTeGdu3ggw/goIOge3dYZx3o2hVOPRU+/LDWORUREREREZE5lJXpOGPWZSC6Sr0O%0AOBh4GjgQOABYxd0/MrNrgTHufnyS/hjgDGBPojvUkonuPjFJ0wXoDnQD7gV2B94Gxrr7WDNbDtgL%0AuI8o/bEycB7wA7Cuu/+Uyt8WRHsaK7v7mwXXrTMwfvz48XTu3LnIpLUxaRL8618wcCCMGdNw/Lrr%0Awqabwl57wRprzPr8iYiIiIiISEXfffcd888/P8D87v5drfPTXGoevAAws/7AMcDiwGvA4e7+eDJu%0AGDDK3fsm/48Cls6ZzWnufmqSpi9wVbk0ZrYUcD3RUOe8wGgiyHGau9frtcTM/gss7e6/bsJ6ta7g%0ARcm0afDmm7DssnDjjXDeefD223Xj27aFXXaB3XaDHXaIEhsiIiIiIiJScwpeSGGtNniR57PP4OKL%0AYdAgGDu2bvgSS8Dhh8OBB8J8lXqaFRERERERkZlNwQspbLYKXqQ9/jhceCHceSf8lNSwMYsqJf37%0Aw047Qfv2tc2jiIiIiIjIHEjBCylstg1elEyYEEGMUu8kJYssEu1j7L13VC9RIENERERERGSWUPBC%0ACpvtgxcl7vD889EryeOPR8OfJYsuGiUytt02GvpUIENERERERGSmUfBCCptjghdpkyfDCy/Agw9G%0AiYxs+xi//jUcemh8i4iIiIiISLNS8EIKmyODF2lTpsAdd0Qw45pr4Isv6satumpUKdlrL+jRo3Z5%0AFBERERERmY0oeCGFzfHBi7QJE+Chh6KRz+uuqz9u3XVhn31g991h4YVrkz8REREREZHZgIIXUpiC%0AF2W88AIMHw733AMPPwzTp8fwdu1g++3h/PNh2WVrm0cREREREZFWSMELKUzBiyp88EFULRk8GEaM%0AqBu+4YawwQawzTbQq1cENkRERERERKQiBS+kMAUvCnrxxWjM88kn6w9fYw045RTYcUcwq03eRERE%0AREREWgEFL6QwBS+a6K234IEH4Oab4emn64YvuCAssggMGABbbgm//KWCGSIiIiIiIikKXkhhCl40%0Ag88+g7PPhiuvhIkT649bbTXYbz/Ye29YdNHa5E9ERERERKQFUfBCClPwohl9+SX873/w/PNw8cXR%0ADWtJhw6w8srQvz/suy907Fi7fIqIiIiIiNSQghdSmIIXM8n338MPP8Att0SJjHRDn23awMYbR9sZ%0AvXpBly41y6aIiIiIiMispuCFFKbgxSzgDg8+CDfdFN+ffVY3rkMHOOAAOPVU6Nq1ZlkUERERERGZ%0AVRS8kMIUvJjFpk6FZ56Byy+HIUNgwoS6cR07wrHHwp/+BIstVrs8ioiIiIiIzEQKXkhhCl7UkDs8%0A+ij85S/w2mt1w9u1gx12iPYxunWLaiVq7FNERERERGYTCl5IYQpetAA//giDB8OFF0ZvJe+8U3/8%0A3HPDdtvBCitAjx6w667QqVNt8ioiIiIiIjKDFLyQwhS8aGHc4bnn4Lrr4N//hp9+aphmiSXgtNNg%0A++1VIkNERERERFodBS+kMAUvWrCPP4aRI6F9e3j33fjce28Mh+i1ZPvt4ZhjosTGAgtAz561zbOI%0AiIiIiEgjFLyQwhS8aGUmT4aBA+GSS+CTTxqOX3LJaC9jww2jekmHDrM+jyIiIiIiIhUoeCGFKXjR%0Air36Kvzf/8FVV8G0aflpttoKtt4adtstqpuIiIiIiIjUmIIXUpiCF7OBTz+Fzz+HX/wC7r8fnn0W%0A/vtf+OKLujSlHkzWXDOCGLvvHg2BioiIiIiIzGIKXkhhCl7MpiZMgNtvh/feg2HD4Mkn64/v2hX6%0A9YOjj4aFFqpJFkVEREREZM6k4IUUpuDFHOKll2DIEHj7bRg+vK7RTzNYY42oXrLvvtFt6yqrRCOh%0AIiIiIiIiM4GCF1KYghdzoClT4M474e9/h5dfbji+Uyfo2xf22CN6L2nXbpZnUUREREREZl8KXkhh%0ACl7M4caOhUcegTPOiFIZWd27R6mMX/0KDjpIvZeIiIiIiMgMU/BCClPwQgCYPh0++ACWWioa/fzP%0Af2Do0Pq9mKyyCpx5Juy4Y1Q3ERERERERaQIFL6QwBS+krB9+gFtvjfYyrrkGvv46hnftCm3bwrbb%0AwumnR8BDRERERESkSgpeSGEKXkhVvvkGzjsPLroIJk6sG96pExxzDOyyCyy/PHTsWLs8ioiIiIhI%0Aq6DghRSm4IUU8v338Prr8PTTMHhwfJcsvDCsvz786U9RKkNERERERCSHghdSmIIX0mQ//RTVSc4/%0AH959N7pZLVl5ZRgzBtZdF/r0gd13h/nmq11eRURERESkxVDwQgpT8EKaxdSpcO65cPbZMH58fpqV%0AV4ajjoK994b27Wdt/kREREREpMVQ8EIKU/BCmt3YsXDllfC//8Fii8Hjj8Mnn9RPs8020T3rOuvU%0AJo8iIiIiIlIzCl5IYQpeyEw3fTrccQdcdx08+CBMnlw3bqONYP/9YcstYckl1QWriIiIiMgcYHYN%0AXrSpdQbMrL+ZfWhmk81spJltXCHtAWb2hJmNSz5DzWy9TJqdzexBM/vKzNzM1siZz7BkXPozOCfd%0Ab8zsWTP7IZnf7c2z1iLNpE2b6I1kyBD44AM47jjo1i3GPfkk9OsH3bvDQgvBkUfCI49EN60iIiIi%0AIiKtSE2DF2a2GzAQ+BuwJvAEcL+ZdS8zSS/gRmAzYAPgY+AhM1silaYT8BRwXCOLvxxYPPU5KJO3%0AXYDrgKuA1YFfA/+tctVEZr3FF4d//CMa8/zgAzjllOihBGDcuGj8s3fvSLf33nDffdEwqIiIiIiI%0ASAtX02ojZvYs8IK7/yk17E1giLsfX8X0bYFxwAB3vzYzbhngQ2BNd38pM24Y8JK7H1Zmvu2AUcAp%0A7n5lgVXKzkfVRqT23n032sZ48km4/Xb4LlVybO65o1rJoYfC5puraomIiIiISCunaiPNzMw6AGsD%0AD2VGPQRsWOVs5gHaA980IQt7JVVBXjezc80s3dfkWsASwHQze9HMPjOz+81slUozNLOOZta59AHU%0Af6XUXo8eUX3kqquiBMYjj8Bhh0GXLlGF5K67okRGx46w665RakNERERERKQFqWW1ka5AW+DzzPDP%0AgcWqnMdZwBhgaMFl3wDsQVRDOQPYBUi3Z/GL5PtU4Exge6KEx2Nm1qXCfI8Hxqc+n1RIKzLrtWkT%0AJSwuuCCql1x3XVQh6dAhumS99Vbo2RNOPx2eeqrWuRUREREREQFaQIOdQLbeiuUMa8DMjiECEDu7%0A++TG0tdboPvl7j7U3V9z98HA74HeZrZWkqS0Xf7m7re5+0hg/yRfu1aY9T+A+VOfJYvkS2SWmmuu%0ACFxcdx188000+tmjB3z1VbSXsdFG0RjopZdGiQ0REREREZEaqWXw4ivgJxqWsliEhqUx6jGzo4AT%0AgK3c/ZVmyMsLwFSgR/L/Z8n3G6UE7j4F+AAo15go7j7F3b8rfYAJzZA3kZmvUyfYcUd45RW48MK6%0AHktuvx0OOQQWWyzaxrj8clD3yiIiIiIiMovVLHjh7j8CI4EtM6O2BIaXm87MjgZOBrZx9xHNlJ1V%0AiLYzSkGLkcAUYIXUctsDywAfNdMyRVqeueaKxjvHjIFHH4X+/aOr1R9/hKFD4cADoXPnKKGx337R%0AY8m778K0abXOuYiIiIiIzMZq3dvIbkR3pAcDTwMHAgcAq7j7R2Z2LTCm1PNIUlXkDGBPojvUkonu%0APjFJ04UoHdENuBfYHXgbGOvuY81sOWAv4D6i9MfKwHnAD8C67v5TMp+BRHWSPxABi6OB3wIruntV%0AZejV24jMFtzh9dfh6qvhX/+C77/PT7fYYhHc6NULNtggAiEiIiIiIjJLza69jdQ0eAFgZv2BY4DF%0AgdeAw9398WTcMGCUu/dN/h8FLJ0zm9Pc/dQkTV/gqnJpzGwp4HpgVWBeYDQR5DjN3X/utSQpafEP%0AYB9gbuBZ4DB3f73Auil4IbOXSZPg4YejOsn48VEaIy+YsfzycNJJsMwysOSSsNxyszyrIiIiIiJz%0AIgUvpDAFL2S2N2lSVCl57bVoK+Prr6OXkqlT66dbdtnohnXXXWHllWHuucGsNnkWEREREZmNKXgh%0AhSl4IXOkb7+F446Dyy4r37jnEkvAdtvBIotEjyfTp8ffXbvO2ryKiIiIiMxmFLyQwhS8kDmaewQy%0Apk6FG2+Eu+6CJ55oWCojbdFFYc014eijYbPNVDpDRERERKQgBS+kMAUvRDK+/hqGD4cvv4Sbb46G%0AQMeMyS+hsfrq0U3rXntF459tatmzs4iIiIhI66DghRSm4IVIFd5+G955B9ZaK0pnnHZalNiYMqV+%0Auj/8ATbdNEpmrLZabfIqIiIiItLCKXghhSl4IdJEn34Kf/873HYbjB3bcPzKK8PZZ8P228/6vImI%0AiIiItGAKXkhhCl6IzKCJE+G666Jqyf33w1tv1e+ademl4eCDYcAAmHfe2uVTRERERKSFUPBCClPw%0AQmQmGDMG/vxnuOOOumELLQRrrw0HHQS//S20b1+7/ImIiIiI1JCCF1KYghciM9Frr8FVV0U7Ge+9%0AVze8bdsIYOyxB+ywQzT2KSIiIiIyh1DwQgpT8EJkFpg6FW66Cf77X3jmGRg3rm5cp04RwDjssAhq%0ArLoqdOigLlhFREREZLal4IUUpuCFyCw2bRq88AJccklUK5kwoWGaNdeEM86AbbdV96siIiIiMttR%0A8EIKU/BCpIamToXHHoNrroEbboDsuW6++aKhzz59YI01apNHEREREZFmpuCFFKbghUgLMWYMTJ8O%0Ar78eVUyuvrr++AUXhCOPhG22iYY/RURERERaKQUvpDAFL0RaqB9+iGolt9wCQ4bUH7fJJvDXv0b1%0Aki5dapM/EREREZEmUvBCClPwQqQVGD4c/vY3+PBDePPNuuEdOkS1kqOOgsUXr13+REREREQKUPBC%0AClPwQqSVeeMNOOWUaCvjyy/rhvfoAb17wz77wHrrRc8lIiIiIiItkIIXUpiCFyKtlDs89BCceio8%0A+2z9xj579IBu3eL70ENhtdVqlk0RERERkSwFL6QwBS9EZgPjxkW7GFdfDU89BT/9VH989+6w2WbR%0A0Oe++0JcKEREREREakLBCylMwQuR2cz48TB4MDzwANx9d5TImD69bvzCC0eDnzvtBMsuCxtuCGa1%0Ay6+IiIiIzHEUvJDCFLwQmc198w0MHRqBjPvui//TfvUrOOII2HtvtZMhIiIiIrOEghdSmIIXInOQ%0AKVPgkkvg3HOhXTv45JO6tjKWXjq6Xj300CiZoUCGiIiIiMwkCl5IYQpeiMzBPvkErrkGzjsv2s0o%0A6dIFjj8edtsNllqqdvkTERERkdnS7Bq8aFPrDIiIzJaWXBJOPBFGjYIbbogGPSGqlhx9dDT0udde%0A8OKLNc2miIiIiEhroOCFiMjM1Lkz7LknjBgBkyfDpZdG4ALgv/+FtdaCJZaIbllHj65pVkVERERE%0AWipVG5mJVG1ERMp6/nm44AK4+eb63a9usgkccghstx3MO2/t8iciIiIirdLsWm1EwYuZSMELEWnU%0AqFFw0UVRMuOJJ+qGzzUX7L47HHxwdNG6xhqwyCI1y6aIiIiItA4KXkhhCl6ISCFvvhmNfN56K7z/%0Afn6a3/8ettwyGvyMi5KIiIiIyM8UvJDCFLwQkSZxh2efhYEDI5CRrlZSsuCCUWKjV69oHFRERERE%0ABAUvpAkUvBCRGfbNN2AGX38NV10V37ffDl9+WZdmvfXggAOimonayRARERGZoyl4IYUpeCEiM8WP%0AP8Lpp8M558DUqXXD27WDrbaCHXaAnXeGhReuXR5FREREpCYUvJDCFLwQkZlq0iT4+GO4+mq47baG%0A7WTstBPsuy9ssUV02SoiIiIisz0FL6QwBS9EZJZ6/nm48caoXvLtt3XD55svqpXsvz+sumrt8ici%0AIiIiM52CF1KYghciUhPuMHJkNOh5yy0weXLduOWWg969YeWVo8eSRRetXT5FREREpNkpeCGFKXgh%0AIjU3bRrcfz8MGgRDhtQf16kT/PGPUbVkpZVg7rlrk0cRERERaTYKXkhhCl6ISIvy8stw550wdizc%0Acw+MHl1//JZbwtprwzbbwC9+AePGwa9+VZu8ioiIiEiTKHgxszJg1h84GlgceB04zN2fKJP2AGBf%0AoFRpeyRwgrs/l0qzM3AQsDawELCmu7+Umc8wYNPM7G9y991TaUYBS2fSnO3uxxVYNwUvRKRl+ukn%0AePDBaB/j3nvhhx/Kp+3fH9ZfH3796whqiIiIiEiLNbsGL9rUcuFmthswEPgbsCbwBHC/mXUvM0kv%0A4EZgM2AD4GPgITNbIpWmE/AU0FiQ4XIiYFL6HJST5q+ZNGc2ulIiIq1B27aw3XbRJsbEifDCC9G9%0AateuDdNeemlULVluOVhlFTjhBPj881mfZxERERGZY9W05IWZPQu84O5/Sg17Exji7sdXMX1bYBww%0AwN2vzYxbBviQ8iUvXnL3wyrMexQw0N0HVrs+OfNQyQsRaX2+/jrayZh3Xrjrruhm9Ykn4MUXozFQ%0AgI4dI9jRpw9sskm0l6E2M0RERERqbnYteVGz4IWZdQC+B3Z19ztSwy8E1nD3bLWOvHnMB3yRzOOe%0AzLhlqBy8WAUw4HPgfuA0d5+QSjMK6Ah0AEYDtwD/dPcfK+SnYzJNyXzAJwpeiMhs4aOPoq2Myy6D%0AV16pP27BBWHgQNhnHzCrTf5EREREZLYNXtSy2khXoC0RPEj7HFisynmcBYwBhhZc9g3AHkQ1lDOA%0AXYDbM2kuBHYnqqhcDBwGXNrIfI8Hxqc+nxTMl4hIy7X00nDIIfDSSzB4MOy4Iyy0UIwbNw722w8W%0AWSRKZLz0UuV5iYiIiIgUUMuSF92IwMOG7v50aviJwD7uvmIj0x9DtGvRy91fyRm/DGVKXuSkXRsY%0AAazt7i+USbMLcCvQ1d2/LpNGJS9EZM4yfTq8/z7cfDOccQZMmRLDzeCXv4y/N90UdtoJttoq2toQ%0AERERkZlGJS+a31fATzQsZbEIDUtj1GNmRwEnAFvlBS6a4AVgKtCjQppnku/lyyVw9ynu/l3pA0wo%0Al1ZEZLbQpg306AEnngiffQYPPAB77BFtY7z9dnwuuywaB91oIzj5ZHjrLZg2rdY5FxEREZFWpGbB%0Ai6TtiJHAlplRWwLDy01nZkcDJwPbuPuIZsrOKkB74LMKadZMviulERGZcy24IGy9Nfz3vzByZPRK%0AsueecPDBMM888MwzcOaZsNJK0XPJpZdW7qJVRERERCRR695GdgOuAw4GngYOBA4AVnH3j8zsWmBM%0AqeeRpKrIGcCeRHeoJRPdfWKSpgvQHegG3Eu0W/E2MNbdx5rZcsBewH1E6Y+VgfOAH4B13f0nM9sA%0AWB94lGi7Yl3gAmCEu+9YYP3U24iICMAHH8AFF8BVV8GkSXXDF10Utt8eVlghGvtcrNomj0REREQk%0Az+xabaSmwQsAM+sPHAMsDrwGHO7ujyfjhgGj3L1v8v8oYOmc2Zzm7qcmafoCV5VLY2ZLAdcDqwLz%0AEj2J3JuM/yaZx1pE45wrEm1YfAQMBs5x9+8LrJuCFyIiWZMnw8UXw4UXwiepdo07dYJ+/eA3v4F1%0A1oEuXWqXRxEREZFWSsELKUzBCxGRCiZPjvYwBg+Gp59uOH633eBPf4KePWGuuWZ9/kRERERaIQUv%0ApDAFL0REqjRtGtx5J9x9Nzz6KHz8cd24BReMQMYf/whrrRU9mYiIiIhILgUvpDAFL0REmuj556Pr%0A1YcfjhIaaSutBHvtBQceCAsvXJv8iYiIiLRQCl5IYQpeiIjMoGnT4J57omrJzTdHF6wlbdvCeuvB%0ASSdFV6wiIiIiouCFFKfghYhIM5o0CZ56Cp57LqqYjEj1ll3qpWSrrWDAgKhe0rZtbfIpIiIiUkMK%0AXkhhCl6IiMwk7vDmm+Uk1ZsAACAASURBVHDeeTBoUH6ajTeGU06BLbaYtXkTERERqSEFL6QwBS9E%0ARGaBZ5+F226D996DceNg2LD649dcE9q0gc03h003hV69oltWERERkdmQghdSmIIXIiI1MGkSXHUV%0A3HcfPPII/Phj/fFdu8IJJ8B++0GXLrXJo4iIiMhMouCFFKbghYhIjX31FVx3XVQvGTMG5p8fxo+P%0AcR07Qt++cMAB0YPJPPPUNKsiIiIizUHBCylMwQsRkRZmwgS44gq45hp4+eW64R07wvLLQ79+8Ic/%0ARJBDREREpBVS8EIKU/BCRKSFcodHH43qIy+9BFOm1B//299GqYxevVS1RERERFoVBS+kMAUvRERa%0AgenT4bHHYMgQuOkm+PzzunHt20OfPnD66fCLX9QujyIiIiJVUvBCClPwQkSkFXr9dfjPf6LRz4kT%0AY1j79rDddrDLLrDTTjDffLXNo4iIiEgZCl5IYQpeiIi0Yu7w0ENwxBHwxht1wzt0gI02gl13hR12%0AgG7dapdHERERkQwFL6QwBS9ERGYD06fD8OEwdCjceCO880798b17w777whZbKJAhIiIiNafghRSm%0A4IWIyGzGHZ57Dh54AO66C154oW5c27ZRtWTVVeHww2HhhWuXTxEREZljKXghhSl4ISIymxs1Ci6+%0AOEplpLteBdhnHxgwANZZB9q0qUn2REREZM6j4IUUpuCFiMgc5NVX4bLLorHPqVPrhvfsGV2vdu8O%0AO+4Iuh6IiIjITKTghRSm4IWIyBzIHZ54AgYOjOolP/xQN65bN9h8c5hnHjjhBFh66drlU0RERGZL%0ACl5IYQpeiIjM4UaNggsvhBdfhKeegmnT6sZ16AD77w8nnghLLVWzLIqIiMjsRcELKUzBCxER+dn3%0A38PgwfDmm/D449HwZ8m660L//rD33tCuXe3yKCIiIq2eghdSmIIXIiJS1j33wPHHw2uv1Q2bZ55o%0AF+Pkk+G772DNNaOEhoiIiEiVFLyQwhS8EBGRRn36KQwaBOefD+PG1R/Xrl10v9qzJ6y3XrSXoZ5L%0AREREpAIFL6QwBS9ERKRqEyfC/ffDlVfCgw/mp1lySTjiCOjTB5ZYYtbmT0RERFoFBS+kMAUvRESk%0AST76CNq2hXffhSefhJdfhoceggkTYnzHjvC738Guu8K228Lcc9c2vyIiItJiKHghhSl4ISIizebz%0Az+Hii+Gaa2D06Prjttoqqpf07w/t29cmfyIiItIiKHghhSl4ISIizc4dnn0Wbr0VrrgCxo+vG7fK%0AKnDYYbDaatGDidrHEBERmeMoeCGFKXghIiIz1fTp8MwzMGwYnHNO/UDGCivAX/4S3a/ON1/Nsigi%0AIiKzloIXUpiCFyIiMst89RWcdFIEM15+uf64XXaBXr1ggw1g7bVrkj0RERGZNRS8kMIUvBARkZoY%0APx6uuirayHj//frjttsO+vaF3r2j4c955qlJFkVERGTmUPBCClPwQkREamr6dBg+HG66CUaOhKef%0Abphm+eVhn31gwADo0mXW51FERESalYIX6YnM/gqc6+7fZ4bPDRzt7qc3U/5aNQUvRESkRXnuuWjo%0A87rrYOzY+uM6dYKePeGoo6L7VREREWmVFLxIT2T2E7C4u3+RGb4Q8IW7t22m/LVqCl6IiEiL5A6P%0APw6TJ8Nbb8GgQfDKK3XjV1wRdtoJ9tsvGv40q11eRUREpBAFL9ITmU0HFnX3LzPDNwducveFmyl/%0ArZqCFyIi0iq4R/WSyy6Da6+tP26llWC99WDHHSOgoUCGiIhIi6bgBWBm4wAH5ge+S/4uaQvMC/zb%0A3Q9pzky2VgpeiIhIq/P663DXXTB0KDz6aAQ2SrbZJhr7/N3voEOHmmVRREREylPwAjCz/QADBgGH%0AAakO5fkRGOX/3959x0ld3fsff33oKkTFCiaIhURBYxDBEg2ggiW2qPfaE8xPLKhRYzRqEsv1enOT%0AaKLGxBhjJPaSGLFrLFgRBS5R1FixodiVIk04vz/ObHZ22IUdWHZ2Z1/Px+P7WOd7zvfMGR7nsQ5v%0ATkmpnt3AltruKOAUoAfwHHBiSunRBuqOBL4LbFa4NRE4I6X0VFGdfYGjgAHAGkD/lNLkknbGAoNL%0Amr8xpXRgPe/ZGRgPbFFfW0v4XIYXkqTW69NPYfRoGDsWbr89bwAK0KED7Lln3hvjkEM8sUSSpBbE%0A8KL4oYjBwOMppS+WuwMRBwBXA6OAx8mhwxFA35TSm/XUv7ZQ7wlgLnAqsC/QL6U0rVDnMGAD4B3g%0AchoOL14Cziy6PSelVBzI1NS9COgD7FZfW0v4bIYXkqTqMGUKXH55DjNmFH0PWmstGDUKhg6FLbaA%0A1VarWBclSZLhRd2HIrYEFqSUni283hs4HHgeODulNL+MtsYDk1JKxxTdewG4NaV0eiOebw98AhyX%0AUrqqpKw3MJWGw4vJKaUTl9L+bsCvgf3Is0IMLyRJbdfChfDkk3DTTXk2xtSptWXt28P++8M22+RN%0AP3feOc/SkCRJzaZaw4t2y/jcZcBXASJiQ+BG4HPgP4BfNraRiOhEXtpxX0nRfcB2jWxmZaAj8HFj%0A37fIIRHxYUQ8FxHnR0S3kv6tQ565cRj58y1RRHSOiC/VXEC3pT0jSVKr0r49fPObcNFF8NJLeYPP%0ALbfMZQsXwo03wkkn5SUlG28Ml10GCxZUts+SJKnVW9bw4qtAzeyD/wAeTikdDIwgz1BorDXJG32+%0AV3L/PWDdRrbxv8A04P4y3hfgWuAgYAhwLrnft9QURkQAo8kbkE5oZJunk/cBqbneLrNPkiS1Hh06%0AwGGHwcSJeWPPiRPhjDNg332he3d44w04+mhYZx0YPhwuvhg+X+q/BUiSJC1mWedyBrXBx87AHYX/%0AfoscSJSrdO1K1HNv8U5EnEohgEgpzS3rDVO6vOjllIh4GZgQEVumlCYBxwNfAn5eRrM/Jy8xqdEN%0AAwxJUlux5Za1szDmzMl7ZPz3f8MHH8A//pGvH/4Q/vM/YdiwHGist15l+yxJklqFZZ15MQH4aWFj%0AzMHAnYX7G7D4LIol+RBYyOKzLNZeWjsR8SPgDGB4SumZMt6zIZOABeSNOQF2BLYB5kXEF8ArhfsT%0AIuIv9TWQUpqXUppRcwEzm6BfkiS1PiutBD/4Abz9NkyYkEOMVVbJS0uuvx6+/33o1Qs22wwi4KCD%0A8hKTTz+tdM8lSVILtKwbdn6dvOyiF/DrlNI5hfu/BdYoLCFpbFvjgYkppVFF954HxjS0YWdEnAL8%0AFNglpfTkEtruTQMbdtZTdzPgWWBwSumRiOhFnnlRoydwL7A/MD6ltNQZFW7YKUlSkZRykHHBBXmJ%0AySuvLF6nWzfYe28YPDgHHO2W9d9ZJElqm6p1w85lCi8abCyiC7AwpdTonbmKjko9GhgHHAmMJB99%0A+kZEXAVMqwkyCktFzgUOJh+ZWmNWSmlWoU53crDSkzwr5EDgRWB6Sml6RGwEHALcRZ790Re4AJgD%0ADEwpLaynn71pZBBS9IzhhSRJDXnrLbjiCrj0Upg/f/FZF6uvnoOMnXfOp5h07lyZfkqS1IoYXtT3%0AcMQAYFPy/hQvFPaKWJZ2RgGnAj2AKcBJKaVHCmVjgddTSiMKr18H1q+nmXNSSmcX6owArmyoTkR8%0ABbgG2AzoSt6r485Ceb2nlhheSJK0gqUE990HDz0Ev/sdzJpVW7bhhnDiifmkk/7981ITSZK0GMOL%0A4oci1iYfjzoY+JS8weaqwEPAgSmlD5qyk62V4YUkSctozhwYPx7OPx/uvLNuWffu+USTX/wi/7ck%0ASfo3w4vihyJuBDYCDkspvVC41xf4C/BKSumgJu1lK2V4IUlSE5g5Ey66CG6+GV54ARYUVqd27pxP%0ALtl6a9hjD1i/vomZkiS1LYYXxQ9FfAbsnFJ6uuT+IOC+lNJqTdS/Vs3wQpKkJjZrFlx4IVxzDbz4%0AYu39du1gzz3he9+D3XaDLl0q10dJkiqoWsOLZd3Cux35WNFSC5ajTUmSpCXr2hV++tM8A2P8eBgx%0AAjp0gEWLYMyYvJxk443zUpNFiyrdW0mS1ESWNWh4ELgoInrW3IiI9YDfAA80RcckSZIaFAGDBsGV%0AV+ZlJA88AMceCz17wrRpeRlJt25w+OHw6quV7q0kSVpOy7ps5CvAGPJpHW+RTxvpBTwL7J1Sersp%0AO9lauWxEkqRmNmMGnHUW/OlPdU8r6dULhg3LR6/uuit07Fi5PkqStAJV67KR5T0qdRiwCfm0kedT%0ASvc3VceqgeGFJEkV8sUXeVnJ2Wfno1cXLqwtW3ttOOAA2GknGDgwz9aQJKlKGF4AEbEjcAmwTekf%0AQkSsCjwBHJ1SerRJe9lKGV5IktQCzJoFjz4Kl18Of/973bIIOOQQOPdc6N27It2TJKkpGV4AEXEb%0A8FBK6TcNlP8AGJpS+k4T9a9VM7yQJKmF+fxzuPfevLnn3/5Wu7Skfft87OrBB+e9NNZeu7L9lCRp%0AGRleABHxBrBrSumFBso3IR+V2quJ+teqGV5IktTCPfkkfPe78PLLde/vuSeceSYMGJBnZ0iS1EpU%0Aa3hR7mkj61D/Eak1vgDWWvbuSJIkNaNttsl7Y/zud3kfjI02yvdvvz3vh7H22nDccfDII3X3zZAk%0ASc2q3PBiGrD5Esq/Dry77N2RJElqZquvDqNGwQ03wCuvwL/+lZePAHz4YQ42Bg+GddfNR6/eeScs%0Ax4bnkiSpfOUuG/ktMAQYmFKaW1K2EvAUeU+MHzRlJ1srl41IktSKzZ4NDz8MN9+c98eYObO2bMst%0A83KTTz+FL30JdtsNNtmkcn2VJKmgWpeNlBterANMAhaSTx15EUjApsCxQHtgy5TSe03f1dbH8EKS%0ApCoxfz785S95j4zrr4c5cxavM3gw7L037LIL9O3b/H2UJAnDi9oHItYHLgV2AWp2sErAvcColNLr%0ATdnB1szwQpKkKvTBBznAuOgieO21+uust17e9PPb34bdd4d25a7UlSRp2RhelD4YsTqwMTnAeDml%0A9ElTdqwaGF5IklTFFi2CadPgK1+BZ5+Fa6+Fp5+GBx+sW2/ttWHIEDj6aPjmN/Msjq5dK9JlSVL1%0AM7xQ2QwvJElqgz78EB54AC65BB57bPHy9u1hu+3yrIzvfx9WWQVWXrn5+ylJqkqGFyqb4YUkSW3c%0A7NkweTJcfXWemTFr1uJ1uneH0aPzMhNJkpaT4YXKZnghSZL+bfZsePTRPPPitdfgggvg5Zdry7t2%0AhYMOgv7981Gt+YunJEllMbxQ2QwvJElSgxYuhHfegd/8Bi68EIq/k62+Ohx7LOy0E2yzDXTpUrl+%0ASpJaFcMLlc3wQpIkNco//wl//CPMmJE3/XzxxdqyHj3gz3/OR7BGNNyGJEkYXmgZGF5IkqSyLVwI%0AN94Iv/41TJxYt6x//7zZ50knwUYbVaZ/kqQWzfBCZTO8kCRJy+Xjj+HMM/OGnrNn195v3x722QcO%0APRS23x7WXLNiXZQktSyGFyqb4YUkSWoS06bBfffl64YbFi/v2RNOPjnPyHBpiSS1aYYXKpvhhSRJ%0AWiEmTYL/+i+YMgVefbX2/lpr5RNLTjoJeveuWPckSZVjeKGyGV5IkqQV7oMP4E9/gp/9LO+XAdCu%0AHQwaBHvsAUccAR075qUmHr8qSVXP8EJlM7yQJEnN5vnn4aGH4JZb4MEHFy/v1AmGDYPvfheGDs37%0AZLjERJKqjuGFymZ4IUmSml1KMHYsXHklPPIIvPFG/fW+9S346U9hyJA8M0OSVBUML1Q2wwtJklRx%0Ajz6aZ2Nssw384x9w880wo+i77FprwciRsNdeeamJszEkqVUzvFDZDC8kSVKLNGlSPoJ13Lh8HGuN%0ALbeEnXeGffeFrbeuXP8kScvM8EJlM7yQJEkt2oIFcPnl8Pe/5yUm8+fXlq2yCvzkJ3DCCbDyypXr%0AoySpLIYXKpvhhSRJajXeegvuuQduuKHuhp9dusBOO8Gxx+YNPzt0qFwfJUlLZXihshleSJKkVumF%0AF+DSS+Gmm+C992rv9+gB228Pp52Wl5hIklocwwuVzfBCkiS1agsX5lkYY8bA6NEwe3Zt2dZbw6GH%0Awv77w7rrVqyLkqS6DC9UNsMLSZJUNT76KJ9cct11+cSSGu3bw4EHwtCh8N3veuyqJFVYtYYX7Srd%0AAYCIGBURUyNibkRMjIgdllB3ZEQ8GhGfFK77I2JQSZ19I+LeiPgwIlJEfKOedsYWyoqvG0rq3BYR%0Abxb69W5EXB0RPZvuk0uSJLUSa6wB++yTl5JMmQLnnJNnXyxcCNdeC0ccAd/4Bvz4x/n1a69VuseS%0ApCpS8ZkXEXEAcDUwCngcOAo4AuibUnqznvrXFuo9AcwFTgX2BfqllKYV6hwGbAC8A1wO9E8pTS5p%0AZyzwEnBm0e05KaXPiuqcBIwD3gXWA84HSClt18jP5swLSZJU3Z58Eq6+Gq65BmaU/ANf//4wciTs%0AtRest15l+idJbUy1zrxoCeHFeGBSSumYonsvALemlE5vxPPtgU+A41JKV5WU9Qam0nB4MTmldGIZ%0Afd0LuBXonFJa0Ij6hheSJKlteOcduO02GDcObrwR5s2rLYvIG33uuisMHw59+3r8qiStIIYXK+LN%0AIzoBnwP/kVL6e9H9i4BvpJQGN6KNbsD7hTbuKCnrzZLDi35AAO8BdwPnpJRmNvA+3YFLgfVSSts3%0AUKcz0LnoVjfgbcMLSZLUpnzxBbz+ep6Rcffd8PTTdcu7d4dNNoFddoFvfzufXBJRka5KUrWp1vCi%0A0nterAm0J4cHxd4DGrtt9f8C04D7y3zva4GDgCHAucB+wC2llSLiFxExG/gI6AXsvYQ2Twc+K7re%0ALrNPkiRJrV+HDrDxxnlfjKeegldfhTPPhCFDoFMn+PhjeOIJOOss2GqrPBPjwgvz7A1JkupR6ZkX%0APcnBw3YppXFF938CHJZS2mQpz58KnAYMSSk9U095bxqYeVFP3QHABGBASmlS0f01ge7A+sBZ5FBi%0Aj1TPH5wzLyRJkpbiiy/yspLrrst7ZEyYAHPn5rL27fMmoDvuCCNGwEYbVbSrktQaVevMi0qHF8u8%0AbCQifgT8FNg5pTShgTq9aXx4EcA8cmhyYwN1vgy8RUnYsoQ23fNCkiRpSd59F37/e3jggbxfRrHh%0Aw+Ggg/JRrF26VKZ/ktTKVGt4UdFlIyml+cBEYFhJ0TDyaSL1iohTgJ8BuzYUXCyDfkBH8skiDb51%0A4WfnJdSRJElSY/XoAeeem5eRTJgA++0HG26Yy+67Dw4/HLbYAn7wg3yyiSSpTWoJp43UHJV6NPlY%0A0iOBkeSjT9+IiKuAaTUnjxSWipwLHEw+MrXGrJTSrEKd7uT9KXoCdwIHAi8C01NK0yNiI+AQ4C7g%0AQ6AvcAEwBxiYUloYEYOAQcBj5NNMNgT+C+hR6FvRFtoNfjZnXkiSJJUrpRxcXHwx3HVX3bJttoGT%0AT84hh5t8StJiqnXmRcXDC4CIGAWcSg4GpgAnpZQeKZSNBV5PKY0ovH6dvP9EqXNSSmcX6owArmyo%0ATkR8BbgG2AzoSl4Kcmeh/ONCG5sDFwFbAKuQZ2TcA/x3SmlaIz+X4YUkSdLy+OSTfGrJFVfAM0Vb%0AnA0cCEcfDZtuCv37u6xEkgoML1Q2wwtJkqQmkhK89hpcdRVccAHMnl1btsoqcOih+ejV4cPza0lq%0AowwvVDbDC0mSpBXgvffgF7/Ie2C88gp88EFt2Wqrwfe/D6ecAuuuW7k+SlKFGF6obIYXkiRJK1hK%0A+aSSMWPgzjth6tTasj59YP/94cgjoXfvinVRkpqT4YXKZnghSZLUjBYtgnvugbPOyieXFNtgAxg6%0AFEaMgB12qEj3JKk5GF6obIYXkiRJFZASvP12npHx5z/nY1gXLqwtHzgQjj8eDjgAOnWqXD8laQUw%0AvFDZDC8kSZJagJkz4bHH8mafN9xQe79bNzjqKBg0CPbYA1ZaqXJ9lKQmYnihshleSJIktTCvvZZn%0AY5x3Xt37XbrAFlvAiSfmIKNr18r0T5KWk+GFymZ4IUmS1ELNmAFXX52v8eMXLx84MAcZe+1lkCGp%0AVTG8UNkMLyRJklqBGTPg4Yfh8cfh0kvz6xpdusA22+TZGPvvD+uvX7l+SlIjGF6obIYXkiRJrcyi%0ARfDmm/CHP8DNN+dlJjVWWglOPhm+8x3YcsvK9VGSlsDwQmUzvJAkSWrFUoKJE+Hvf88bfRYHGe3a%0AwSWXwFZbweab5xkaktQCGF6obIYXkiRJVWLePLjxxnzdddfi5TvumDcCdVmJpAozvFDZDC8kSZKq%0A0D//mZeUXHYZfPhh7f3u3aFvX5g7F3bbDfbbD77+dYioXF8ltTmGFyqb4YUkSVIVW7AgXxMnwjHH%0AwHPPLV6nZ084/HA49FDYZJPm76OkNsfwQmUzvJAkSWojvvgCRo/OR69OnQqffAKzZtWts+OOcMgh%0AsPPO0KtXRbopqfoZXqhshheSJElt1KJF+cjVa66Bv/41H8VabIst4Nvfhu9/P4cc778PQ4dChw6V%0A6a+kqmF4obIZXkiSJAnI+2Rcdx3ccQc8/3z9dTbeGH75S9hnH/fJkLTMDC9UNsMLSZIkLWbKFLjn%0AnnwE6xNPLF6+wQbwzW/CsGHQpw9ss41hhqRGM7xQ2QwvJEmStERTpsC//gW77AInnpiPWy01YACc%0AcAJ85zt5OYrfKyUtgeGFymZ4IUmSpLLMmJEDjLvugrfegpdeyoFFjQ4d4LzzYM898+klzsiQVMLw%0AQmUzvJAkSdJyeeUVuOQSuOkmePfdumVbbQWnnQZ77+1Gn5L+zfBCZTO8kCRJUpN5/324/nq48kp4%0A5hmo+R6/8so5yDjuONh3X2jfvrL9lFRRhhcqm+GFJEmSVohp0+D3v4fLL4cPPqhb1rEj7Lgj/OpX%0AsPnmlemfpIoxvFDZDC8kSZK0Qs2bB7fdBrfeCrfcAnPn1pZ16ABHHJGDjOHDIf9lRlKVM7xQ2Qwv%0AJEmS1GzmzIE334RHH4UxY+COO2rLOnWC7bfPp5rsvDP07+9mn1KVMrxQ2QwvJEmSVBEp5dkY11wD%0AkyfDa6/VLV9tNRg0KM/IGD7c5SVSFTG8UNkMLyRJktQiPPMM/O1veTbGs8/CggW1ZRFw2GFwwAF5%0AVkanTpXrp6TlZnihshleSJIkqcX5/HMYPRqmToX/+z944IG65d/8Jvzwh7DnnnnzT0mtiuGFymZ4%0AIUmSpBbv0Ufhhhvyhp/Tp9ct2357OPdcGDzYPTKkVsLwQmUzvJAkSVKrsXAhvPIKXHAB/PWv8Mkn%0AtWVrrQW77QYHH5w3/ZTUYhleqGyGF5IkSWqV5s2Dp5+Ga6+FP/8Z5s+vLVt1Vdhmmxxm7L479OlT%0AuX5KWozhhcpmeCFJkqRWb9o0eOSRvDfG6NF5hkaNjh3hpJNgjTWgZ08YOhTWW69iXZVkeKFlYHgh%0ASZKkqjJjBowbB2PH5r0yHn+8bnkE9O+fQ4xjj4UNNqhIN6W2zPBCZTO8kCRJUtVKCa65Bq6/HsaP%0Ah48/rlvesWMOMvbeG44+Grp3r0w/pTbG8EJlM7yQJElSm5BSnnXxr3/BFVfAww/nPTNqrLwyHHAA%0ADB8O++3nEazSClSt4UW7SncAICJGRcTUiJgbERMjYocl1B0ZEY9GxCeF6/6IGFRSZ9+IuDciPoyI%0AFBHfqKedsYWy4uuGovLeEXFFoV9zIuLViDgnIjo17aeXJEmSWrmaY1Q32QR+9St46qkcXpx+Onz9%0A6/D553DllXDQQbDFFvC3v8Hs2ZXts6RWpeLhRUQcAFwInAf0Bx4F7o6IXg08MgS4HhgKbAu8CdwX%0AEcU7A60CPA6ctpS3vxzoUXQdVVS2CfnP5yigH3AScDTwP438aJIkSVLbtdVW8D//A5Mnw0MP5eAC%0A4IUXYP/986kl++0HZ54JY8bA3LmV7a+kFq3iy0YiYjwwKaV0TNG9F4BbU0qnN+L59sAnwHEppatK%0AynoDU4H+KaXJJWVjgckppRPL6OspwDEppQ0bWd9lI5IkSVKN556Dyy6Dv/8d3n67btmXvwwnnJA3%0A+lxppcr0T6oCLhtZAQpLMAYA95UU3Qds18hmVgY6Ah8vrWI9DiksLXkuIs6PiG5Lqb/qkt4nIjpH%0AxJdqLmBp7UmSJEltR79+cPHF8MYb8OCDeSPPIUOga9ccZpxyCvToAdtum5eWfP55pXssqYWo9LKR%0ANYH2wHsl998D1m1kG/8LTAPuL/O9rwUOIi9DORfYD7ilocoRsRFwPPCHJbR5OvBZ0fX2EupKkiRJ%0AbVO7dvk41UsvzUtKpk2D3/8+BxeffQZPPpmXlqy+OhxxRN4/w4MGpDatostGIqInOXjYLqU0ruj+%0AT4DDUkqbLOX5U8n7WgxJKT1TT3lvGlg2Uk/dAcAEYEBKaVI9/XwYeDildMQS2ugMdC661Q1422Uj%0AkiRJUiPMmpWDinvugWuvzaFGjY03hiOPhIEDYfDg2k1CJdXhspEV40NgIYvPslibxWdj1BERPwLO%0AAIbXF1wsg0nAAqBPyfv0BB4CxgFHLqmBlNK8lNKMmguY2QT9kiRJktqGrl3zjIxf/ALeeisvLdlp%0Ap7wHxiuvwKmn5vKddoIHHoCPPqobcEiqWhUNL1JK84GJwLCSomHAEw09V9g482fArimlCU3UnX7k%0AvTPeLXqf9YCx5GDj8JTSoiZ6L0mSJElLEpGDivvvh/ffz4FG+/a57KGHYOedYc0180afW28NN9zg%0A8atSFWsJp40cAFxNPoa0ZnbDSKBfSumNiLgKmFZz8khhqci5wMHk41BrzEopzSrU6Q70AnoCdwIH%0AAi8C01NK0wv7VxwC3EWe/dEXuACYAwxMKS0sWiryJvBd8gwRAFJK0xv52TxtRJIkSWoqCxbkzT5/%0A+lO46y6YWTLRuUsXGDYMvvc92HVXmD8/75shtSHVumyk4uEFQESMAk4FegBTgJNSSo8UysYCr6eU%0ARhRevw6sX08zkskbSQAAF0VJREFU56SUzi7UGQFc2VCdiPgKcA2wGdAVeIsccpyTUvp4KW2QUmrU%0AAjvDC0mSJGkFmTsX3nwTVl01n2By/fUwderi9XbZJS8v6dIlH8W6557QufPi9aQqYXihshleSJIk%0ASc0kJZgyBa67Dv7yF3j33frrdewI++wDw4fDAQdAt245COnSpXn7K60ghhcqm+GFJEmSVAFffAGP%0APZY3/XzqqRxmbLYZTJyYl5KUioCjj4ajjoIttmj+/kpNyPBCZTO8kCRJklqQlODee/MmoGPG5BNM%0ASg0fDh065J977w29ezd7N6XlYXihshleSJIkSS1USvCvf+WNP+fOzT+fqOfAw+23h8MOyzM3PvwQ%0ABg/O+2xILZThhcpmeCFJkiS1IlOmwJ13wh/+ANOn51CjVJcusP/+cOSRsMMOzd9HaSkML1Q2wwtJ%0AkiSpFZs6FS69FC67DGbU83fALbbIszLWWAOuvBI22ggOPRSGDs37aEgVYHihshleSJIkSVVgwQIY%0ANw623hqefBLOOw8efBAWLqy/fr9+OcQ4+GDo1at5+6o2z/BCZTO8kCRJkqrURx/BzTfnk0yefDLf%0A239/uP12mDcvv+7cGXbdFbbdFkaNyseySiuY4YXKZnghSZIktQHPPpv3wujTB957Ly8hue66fL/G%0Al74EO+0Em24KhxwCfftWrr+qaoYXKpvhhSRJktRGLVqUl5Y8+2zeN+Pll2vLIvIxrD//OWyySeX6%0AqKpkeKGyGV5IkiRJYuFCmDgR/vpXGDMGXnop34+A3r2hQwc47jgYORJWWqmiXVXrZ3ihshleSJIk%0ASVrMCy/AaafBbbfVvb/KKvn0km23hb32gtVWq0z/1KoZXqhshheSJEmSGvTYYzB+PDzySP753nu1%0AZe3awQYb5I0+R450s081muGFymZ4IUmSJKlRZs7MS0p+9St45pm6ZZ06wS67wAknwI47wosvwuzZ%0AMGBAZfqqFs3wQmUzvJAkSZJUlpTyZp9vvgn33w/nn1+7RwbkPTHmzMn/vfvucMYZMGgQdOxYmf6q%0AxTG8UNkMLyRJkiQtl5Tg+efziSVXXgmff754nQ03hBNPhBEjXF4iwwuVz/BCkiRJUpP55BO47jpY%0AfXXYcst8QskDD9SWd+kCO+0E/frBzjvDsGGV66sqxvBCZTO8kCRJkrRCvfMOXHEF/PGP8Pbbdcv6%0A9cuzMkaOhD32yEezquoZXqhshheSJEmSmsWCBXDTTXDnnfDFF/DXv+YlJzX22QeOOgp22CEfyaqq%0AZXihshleSJIkSaqIl16CO+6A556DP/+59v6668J558H8+TBrFgweDAMHVq6fanKGFyqb4YUkSZKk%0Airv3XrjkEnjooXzEaqk+ffIeGXvvDcOHu7yklTO8UNkMLyRJkiS1GPPmwW9+k2dezJqVN/787LN8%0ANGuNHXeEY46BIUPysawuMWl1DC9UNsMLSZIkSS1OSjm86NYN3ngDxo/Pe2TcfHPdeh07wpln5r0y%0A1lqrMn1V2QwvVDbDC0mSJEmtxksvwe9/D6NH5xkZNdq1y/ti/OAHcOCB+bVaLMMLlc3wQpIkSVKr%0AkxI8+yw8/jj86U8waVJt2frrw/77wxFHwCabVK6PapDhhcpmeCFJkiSp1XvrrbxPxmWX1b3fty9s%0AuGHeJ+PQQ11a0kIYXqhshheSJEmSqsZnn8GVV8Jtt+WTS0qtsUbe6PPSSw0yKsjwQmUzvJAkSZJU%0AlaZPzxt8PvYYTJwIr75aW/blL8Ppp8OgQbDVVpXrYxtleKGyGV5IkiRJqnqLFsHLL8M77+RjVl98%0AsbZs993zHhkHHwydO1euj22I4YXKZnghSZIkqU2ZOROOPRauvrru/bXWgl12geOOg623rkzf2gjD%0AC5XN8EKSJElSm/XEE3DHHfDzn9e9369f3uTz5JPz6SVqUoYXKpvhhSRJkqQ276OP4He/g7/8BV57%0ArfZ+ly6w886w2WbQu3fe7PNrX6tUL6uG4YXKZnghSZIkSUWmTYP77sunljz66OLlJ52UN/v0tJJl%0AZnihshleSJIkSVI9UoLJk+H22+Hxx2H27PyzxpprwoABcOKJea+MiMr1tZUxvFDZDC8kSZIkqZFu%0Avx3OOScfvVqsb1/4f/8vH726ySY52FCDqjW8aFfpDkTEqIiYGhFzI2JiROywhLojI+LRiPikcN0f%0AEYNK6uwbEfdGxIcRkSLiG/W0M7ZQVnzdUFLnJxHxRER8HhGfNt0nliRJkiQtZs894emn4bnn8mkl%0AhxyS98V4/vm8uecOO0CPHjByJFxxBXz8caV7rGZU0fAiIg4ALgTOA/oDjwJ3R0SvBh4ZAlwPDAW2%0ABd4E7ouI9YrqrAI8Dpy2lLe/HOhRdB1VUt4JuBm4tJEfR5IkSZK0PCLyTItDD4VrroG334azzoI+%0AfaBdO/jiC/jTn+CII2DjjeHCC2H+/Er3Ws2gostGImI8MCmldEzRvReAW1NKpzfi+fbAJ8BxKaWr%0ASsp6A1OB/imlySVlY4HJKaUTG/EeI4ALU0qrLa1uPc+6bESSJEmSmsqDD8IZZ8D48bX32rWDRYtg%0Aq63g4INhv/2gV0P/Hl79XDbSxCKiEzAAuK+k6D5gu0Y2szLQEViW+UKHFJaWPBcR50dEt2Voo46I%0A6BwRX6q5gOVuU5IkSZJUsOOO8OSTsGAB/PGPsPbaObgAmDABfvhDWH99+OpX4YQT8qag7vNYFTpU%0A8L3XBNoD75Xcfw9Yt5Ft/C8wDbi/zPe+ljwrYzqwGfBzYAtgWJntlDodOGs525AkSZIkLUmHDnnv%0Ai8MOg3vuySHFokVw//3w1FPw8sv5uvhiWHddGDoU/vM/YffdoVOnSvdey6Biy0Yioic5eNgupTSu%0A6P5PgMNSSpss5flTyftaDEkpPVNPeW8aWDZST90BwARgQEppUknZCBq5bCQiOgOdi251A9522Ygk%0ASZIkNZPPPoN774XrroMxY+qWrboqDBmSrwMPzMFGlXHZSNP7EFjI4rMs1mbx2Rh1RMSPgDOA4fUF%0AF8tgErAA6LM8jaSU5qWUZtRcwMwm6JskSZIkqbFWXTXPsrj11nwiyW23wSmnwDrr5GBjzBg46STY%0AYAM4/HC46y6YUTV/x69aFQsvUkrzgYksvlRjGPBEQ89FxCnAz4BdU0oTmqg7/ch7Z7zbRO1JkiRJ%0Akipt9dXzEay//CVMm5aPYj3tNNhwQ5g7F0aPhm9/O++dMXQo/PWv7pHRQlX6tJEDgKuBo4FxwJHA%0ASKBfSumNiLgKmFZz8khhqci5wMHk41BrzEopzSrU6Q70AnoCdwIHAi8C01NK0yNiI+AQ4C7y7I++%0AwAXAHGBgSmlhoZ1eQHdgL+AUYIfCe71S816N+HyeNiJJkiRJLc2iRfnkkj/9KW/0+eqrtWVbbw3f%0A+hZssUUONlYr++DJiqrWZSMVDS8AImIUcCrQA5gCnJRSeqRQNhZ4PaU0ovD6dWD9epo5J6V0dqHO%0ACODKhupExFeAa8gbdXYF3iKHHOeklP59aklEjAa+V087Q1NKYxv52QwvJEmSJKklSylv+HnVVXDp%0ApTBvXm1Zhw6wxx6w+eb5GNY+faB9+8r1tREML1Q2wwtJkiRJakXeeQduugmmTIFHHsknlhQ7/vh8%0AgkkLVq3hRSWPSpUkSZIkqeXo2RNOPLH29eTJcM01cPfd8Pzz0LVr5frWxjnzYgVy5oUkSZIkVYnP%0AP4cIWGmlSvdkiZx5IUmSJElSW7XyypXuQZtWsaNSJUmSJEmSGsPwQpIkSZIktWiGF5IkSZIkqUUz%0AvJAkSZIkSS2a4YUkSZIkSWrRDC8kSZIkSVKLZnghSZIkSZJaNMMLSZIkSZLUohleSJIkSZKkFs3w%0AQpIkSZIktWgdKt2BtmDGjBmV7oIkSZIkqQ2o1r9/Rkqp0n2oWhGxHvB2pfshSZIkSWpzvpxSmlbp%0ATjQVw4sVKCIC6AnMrHRflqIbOWT5Mi2/r1J9HMNqzRy/au0cw2rNHL9q7Roaw92Ad1IV/YXfZSMr%0AUGGgtPikK2csAMxMKVXnHCNVNcewWjPHr1o7x7BaM8evWrsljOGqG89u2ClJkiRJklo0wwtJkiRJ%0AktSiGV4IYB5wTuGn1Bo5htWaOX7V2jmG1Zo5ftXatZkx7IadkiRJkiSpRXPmhSRJkiRJatEMLyRJ%0AkiRJUotmeCFJkiRJklo0wwtJkiRJktSiGV6IiBgVEVMjYm5ETIyIHSrdJykizo6IVHJNLyqPQp13%0AImJORIyNiH4lbaweEVdHxGeF6+qIWK35P42qXUR8KyJuL4zHFBH7lJQ3yXiNiM0j4uFCG9Mi4syI%0AiOb4jKpujRjDo+v5nfxkSZ3OEfHbiPgwImZHxG0R8eWSOr0K7zO7UO/iiOjUHJ9R1SsiTo+IpyNi%0AZkS8HxG3RsTXSuo0yfiMiMGF78tzI+K1iDi6OT6jqlcjx+/Yen4H31BSp+q/RxhetHERcQBwIXAe%0A0B94FLg7InpVtGNS9hzQo+javKjsVOCHwHHAQGA68I+I6FZU5zrgG8CuhesbwNUrvttqg1YB/kke%0Aj/VZ7vEaEV8C/gG8U2jjeOBHhXal5bW0MQxwD3V/J+9eUn4h8B3gQGB7oCtwR0S0Byj8vLPwXtsX%0A6u0HXNBkn0Jt1WDgd8A2wDCgA3BfRKxSVGe5x2dEbADcRf6+3B/4H+DiiNhvRX44Vb3GjF+Ay6n7%0AO/iokvLq/x6RUvJqwxcwHri05N4LwM8r3Tevtn0BZwOTGygL4F3gx0X3OgOfAkcVXm8KJGDrojrb%0AFO59rdKfz6t6r8IY26fodZOMV+CYwjOdi+qcBkyjcPS5l1dTXKVjuHBvNHDrEp5ZFZgPHFB0ryew%0AENil8Hq3wuueRXUOBOYCX6r05/aqngtYqzCOv1V43STjE/gF8ELJe/0BGFfpz+xVPVfp+C3cGwtc%0AuIRn2sT3CGdetGGFaXADgPtKiu4Dtmv+HkmL6VOYwjw1Im6IiA0L9zcA1qVo7KaU5gEPUzt2twU+%0ASymNL6rzJPAZjm81r6Yar9sCDxeerXEv+Qt47xXVeanIkMKU5pci4vKIWLuobADQkbrj/B1gCnXH%0A8JTC/Rr3ksO8ASu262pjVi38/Ljws6nG57Ys/r35XmCriOjYZL1XW1c6fmscUljO9FxEnF8ye7NN%0AfI8wvGjb1gTaA++V3H+P/EVbqqTxwHeBXYCR5DH5RESsQe34XNLYXRd4v55238fxrebVVON13Qba%0AKH4PaUW5GzgE2BE4mTzl+MGI6FwoXxeYn1L6pOS50nFeZwwX6s/HMawmUli//2vgsZTSlMLtphqf%0ADf0e7kD+Xi0tlwbGL8C1wEHAEOBc8pKmW4rK28T3iA6V7oBahFTyOuq5JzWrlNLdRS+fjYhxwKvA%0A94CaTeKWNnbrG8eOb1VKU4zX+tpo6FmpyaSUbix6OSUiJgBvAN+m7hfoUv5eVnO7BPg6ed+KpfH3%0AsFqaesdvSunyopdTIuJlYEJEbJlSmlRTrZ72qmr8OvOibfuQvLavNGlbm8VTOamiUkqzgWeBPuTN%0ADmHJY3c6sE49Ta2F41vNq6nG6/QG2gDHtJpZSuldcnjRp3BrOtApIlYvqVo6zuuM4UL9jjiG1QQi%0A4rfAXsDQlNLbRUVNNT4b+j38BfDRcn8AtWlLGL/1mQQsoO7v4Kr/HmF40YallOYDE8m72hYbBjzR%0A/D2SGlaYmrwpeePDqeRfwMOKyjuRd2uuGbvjgFUjYlBRna3J6wgd32pOTTVexwHfKjm2bzh51/DX%0AV1TnpfoUlvB9hfw7GfL3iQXUHec9gM2oO4Y3K9yvMRyYV3heWiaRXQLsC+yYUppaUqWpxuc4Fv/e%0APByYkFJa0BSfRW1PI8ZvffqRg7Wa38Ft4ntEFHYZVRtVOCr1auBo8oA+kry/QL+U0huV7Jvatog4%0AH7gdeJOcCv+U/Je9zVNKb0TEj4HTgcOBl4EzyOsAv5ZSmllo427yJkQ1R0n9EXgjpbRnM34UtQER%0A0RXYuPDy/8jHjj0EfJxSerMpxmtErAq8CDxIPp6vD/kEiP9KKXnUpJbLksZw4Tob+Bv5i3Jv8hjs%0ABWxaNIYvBfYARhSeOR9YAxiQUlpYOIpyMvlf+E4BulN7isnxK/gjqopFxO+Bg4G9yb8na3yWUppT%0AqLPc47NwVOoU4DLysZXbkk8bOSil9LcV+ylVrZY2fiNiI/KeQ3eRZ873JR/hOwcYmFJaWGin+r9H%0AVPq4E6/KX8AoctpWkyx/q9J98vICbiAnwfPJRzj9DehbVB7kL9Pvko8xexjYrKSN7sA1wIzCdQ2w%0AWqU/m1f1XeQgItVzjS6UN8l4BTYHHim08S5wFq3keDOvln0taQwDK5F3pH+/8Dv5jcL9r5S00QX4%0ALXn6/OfkALq0Ti/gjkL5R4X6nZvrc3pV59XA2E3AiKI6TTI+yf+QMqnwvXkqcHSlP79X676WNn7J%0As9weLozJecArwEVA95J2qv57hDMvJEmSJElSi+aeF5IkSZIkqUUzvJAkSZIkSS2a4YUkSZIkSWrR%0ADC8kSZIkSVKLZnghSZIkSZJaNMMLSZIkSZLUohleSJIkSZKkFs3wQpIkSZIktWiGF5IkqdWIiNcj%0A4sRK90OSJDUvwwtJklSviBgdEbcW/ntsRFzYjO89IiI+radoIPDH5uqHJElqGTpUugOSJKntiIhO%0AKaX5y/p8SumDpuyPJElqHZx5IUmSligiRgODgRMiIhWu3oWyvhFxV0TMioj3IuLqiFiz6NmxEXFJ%0ARPw6Ij4E/lG4/8OIeDYiZkfEWxHx+4joWigbAlwJrFr0fmcXyuosG4mIXhExpvD+MyLipohYp6j8%0A7IiYHBGHFZ79LCJuiIhuRXX2L/RlTkR8FBH3R8QqK+rPU5Iklc/wQpIkLc0JwDjgcqBH4XorInoA%0ADwOTga2AXYF1gJtKnv8e8AXwTeCowr1FwA+AzQrlOwK/LJQ9AZwIzCh6v/NLOxURAdwKdCeHK8OA%0AjYAbS6puBOwD7FG4BgOnFdroAVwP/BnYFBgC3AJEY/5gJElS83DZiCRJWqKU0mcRMR/4PKU0veZ+%0ARBwDTEopnVF07/vkYOOrKaWXCrdfSSmdWtJm8f4ZUyPiZ8ClwKiU0vyI+CxXq32/euwMfB3YIKX0%0AVuH9DwOei4iBKaWnC/XaASNSSjMLda4GdgJ+Qg5GOgC3pJTeKNR/trF/NpIkqXk480KSJC2rAcDQ%0AwpKNWRExC/hXoWyjonoTSh+MiKER8Y+ImBYRM4GrgDXKXK6xKfBWTXABkFJ6Hvi0UFbj9ZrgouBd%0AYO3Cf/8TeAB4NiJujoiREbF6GX2QJEnNwPBCkiQtq3bA7cA3Sq4+wCNF9WYXPxQR6wN3AVOA/cgh%0AyLGF4o5lvH8AqRH3F5SUp0LfSSktJC832Q14HjgeeDEiNiijH5IkaQUzvJAkSY0xH2hfcm8S0I88%0As+GVkmv24k3821bkpRonp5SeLCwv6dmI9yv1PNArIr5ScyMi+gKrAi8s/SNlKXs8pXQW0L/w3t9p%0A7POSJGnFM7yQJEmN8TqwdUT0jog1I6Id8DvyZpnXR8SgiNgwIoZHxJ8jYknBw6vk8OL4wjOHAUfX%0A835dI2KnwvutXE879wPPANdGxJYRMYi8/OThlNJiS1XqExFbR8QZEbFVRPQC9gXWoozwQ5IkrXiG%0AF5IkqTHOBxaSZzt8APRKKb1DPkGkPXAveRnIRcBn5NNE6pVSmgz8EPhx4ZlDgNNL6jwB/IF8csgH%0AwKklzZBSSuRTRD4hL1O5H3gNOKCMzzUD+BZ5GctLwH+TZ4TcXUYbkiRpBYv8/31JkiRJkqSWyZkX%0AkiRJkiSpRTO8kCRJkiRJLZrhhSRJkiRJatEMLyRJkiRJUotmeCFJkiRJklo0wwtJkiRJktSiGV5I%0AkiRJkqQWzfBCkiRJkiS1aIYXkiRJkiSpRTO8kCRJkiRJLZrhhSRJkiRJatH+P/U2tUHqvDh/AAAA%0AAElFTkSuQmCC" alt="" width="743" height="267" />

精度

In [36]:
#设定阈值
def predict(X, theta):
return [1 if x >= 0.5 else 0 for x in
model(X, theta)]
 
In [37]:
scaled_X = scaled_data[:, :3]
y = scaled_data[:, 3]
predictions = predict(scaled_X, theta)
correct = [1 if ((a == 1 and b == 1) or (a == 0 and b == 0)) else 0 for (a, b) in zip(predictions, y)]
accuracy = (sum(map(int, correct)) % len(correct))
print ('accuracy = {0}%'.format(accuracy))
accuracy = 89%

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