个性化排序算法实践(三)——deepFM算法

2023-02-27,,

FM通过对于每一位特征的隐变量内积来提取特征组合,最后的结果也不错,虽然理论上FM可以对高阶特征组合进行建模,但实际上因为计算复杂度原因,一般都只用到了二阶特征组合。对于高阶特征组合来说,我们很自然想到多层神经网络DNN。

DeepFM目的是同时学习低阶和高阶的特征交叉,主要由FM和DNN两部分组成,底部共享同样的输入。模型可以表示为:

\[\hat{y} = sigmoid(y_{FM}+y_{DNN})
\]

aaarticlea/png;base64,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" alt="DeepFM">

这里主要参考了Github上的代码,通过对源码的研究,更加加深了对deepFM理论和应用的了解。

主体部分分为data,fig,output和代码部分。其中,data存储数据集,fig存储训练后保存的结果,output存储测试集prediction,代码详解如下:

aaarticlea/png;base64,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" alt="Basic-DeepFM-model">

config代表了一些基本配置,DataReader.py是一个读取DataFrame格式并进行转换的程序,DeepFM.py是DeepFM算法实现的主程序,main.py是主程序入口,metrics主要保存了gini_norm的实现方法。下面先讲述DeepFM的主方法,然后讲解如何通过main函数实现一个具体的方法。

DeepFM实现

以函数为单位,深度解析DeepFM方法的实现。

初始化函数:

def __init__(self, feature_size, field_size,
embedding_size=8, dropout_fm=[1.0, 1.0],
deep_layers=[32, 32], dropout_deep=[0.5, 0.5, 0.5],
deep_layer_activation=tf.nn.relu,
epoch=10, batch_size=256,
learning_rate=0.001, optimizer="adam",
batch_norm=0, batch_norm_decay=0.995,
verbose=False, random_seed=2016,
use_fm=True, use_deep=True,
loss_type="logloss", eval_metric=roc_auc_score,
l2_reg=0.0, greater_is_better=True):

主要包括了一些基础配置,如特征个数,特征域个数,隐向量维度,dropout参数,deep部分的层数,每层神经元个数,激活函数,迭代次数,batch_size,学习率,优化方法,batch_norm参数,代价函数,评估函数,正则化参数的选择等。另外,调用了_init_graph()方法对图初始化。

def _init_graph(self):

构建了deepFM的Tensor图。首先还是初始化权重,重要的几个有:

feature_embeddings

shape为(feature_size,embedding_size),即特征个数(类别特征onehot之后)*embedding维度。
feature_bias

shape为(feature_size,1)
deep侧的weight以及bias

根据DNN的参数设置weight以及bias,其中输入层为field_size*embedding_size,即每一个特征域的embedding向量,输出层前一层为FM层+DNN最后一层,即field_size+embedding_size+deep_layers[-1]。其中field_size+embedding_size参考个性化排序算法实践(一)——FM算法可知是一阶权重与特征embedding的和。权重初始化采用Xavier初始化

Xavier初始化以0为中心的截断正态分布中抽取样本,stddev = sqrt(2 / (fan_in + fan_out)),其中 fan_in 是权重张量的输入单元数,而 fan_out 是权重张量中的输出单位数。

初始化权重之后,便是构建网络层了。网络层的构建就主要分成两部分:FM部分与Deep部分。

FM部分

# FM部分
self.embeddings = tf.nn.embedding_lookup(self.weights['feature_embeddings'],self.feat_index) # N * F * K
feat_value = tf.reshape(self.feat_value,shape=[-1,self.field_size,1])
self.embeddings = tf.multiply(self.embeddings,feat_value) # first order term
self.y_first_order = tf.nn.embedding_lookup(self.weights['feature_bias'],self.feat_index)
self.y_first_order = tf.reduce_sum(tf.multiply(self.y_first_order,feat_value),2)
self.y_first_order = tf.nn.dropout(self.y_first_order,self.dropout_keep_fm[0]) # second order term
# sum-square-part
self.summed_features_emb = tf.reduce_sum(self.embeddings,1) # None * k
self.summed_features_emb_square = tf.square(self.summed_features_emb) # None * K # squre-sum-part
self.squared_features_emb = tf.square(self.embeddings)
self.squared_sum_features_emb = tf.reduce_sum(self.squared_features_emb, 1) # None * K #second order
self.y_second_order = 0.5 * tf.subtract(self.summed_features_emb_square,self.squared_sum_features_emb)
self.y_second_order = tf.nn.dropout(self.y_second_order,self.dropout_keep_fm[1])

同样,根据FM的二次项化简公式,我们可以得到:

\[\hat y(x) = w_0+\sum_{i=1}^n w_i x_i +\sum_{i=1}^n \sum_{j=i+1}^n ⟨vi,vj⟩ x_i x_j \\
=w_0+\sum_{i=1}^n w_i x_i + \frac{1}{2} \sum_{f=1}^{k} {\left \lgroup \left(\sum_{i=1}^{n} v_{i,f} x_i \right)^2 - \sum_{i=1}^{n} v_{i,f}^2 x_i^2\right \rgroup} \qquad
\]

这里使用tf.nn.embedding_lookup方法,可以选择出对应的特征与权重相乘求和。具体而言,各个变量含有如下:

self.embeddings

代表\(w_i x_i\),这里的i代表第i个特征域

这里的embedding层对于DNN来说时在提取特征,对于FM来说就是他的2阶特征,并且FM和DNN共享embedding层。

self.y_first_order

代表\(\sum_{i=1}^n w_i x_i\),即一次项的和,这里的i代表第i个特征
self.second order

代表二次项的和,是由\(\frac{1}{2} \sum_{f=1}^{k} {\left \lgroup \left(\sum_{i=1}^{n} v_{i,f} x_i \right)^2 - \sum_{i=1}^{n} v_{i,f}^2 x_i^2\right \rgroup}\)计算得来。

Deep部分

self.y_deep = tf.reshape(self.embeddings,shape=[-1,self.field_size * self.embedding_size])
self.y_deep = tf.nn.dropout(self.y_deep,self.dropout_keep_deep[0]) for i in range(0,len(self.deep_layers)):
self.y_deep = tf.add(tf.matmul(self.y_deep,self.weights["layer_%d" %i]), self.weights["bias_%d"%i])
self.y_deep = self.deep_layers_activation(self.y_deep)
self.y_deep = tf.nn.dropout(self.y_deep,self.dropout_keep_deep[i+1])

第一层self.embeddings,之后便是堆叠Deep层了。这里的self.embeddings维度为[-1,特征域个数*embedding维度]。

之后便是最后一层,将FM与Deep结合了,如下:

concat_input = tf.concat([self.y_first_order, self.y_second_order, self.y_deep], axis=1)
self.out = tf.add(tf.matmul(concat_input,self.weights['concat_projection']),self.weights['concat_bias'])
if self.loss_type == "logloss":
self.out = tf.nn.sigmoid(self.out)
self.loss = tf.losses.log_loss(self.label, self.out)
elif self.loss_type == "mse":
self.loss = tf.nn.l2_loss(tf.subtract(self.label, self.out))

这里concat_input可以认为是最后第二层网络,最后一层输出结果后,如果是分类任务,使用logloss进行代价函数的计算与反向传播,否则使用MSE。

一共多少参数量呢?我们计算下:feature_embeddings是feature_size*embedding_size维,feature_bias是feature_size维,deep层前一层神经元个数\(*\)后一层神经元个数,最后相加即可得:

\(特征个数*embedding维度+特征个数+\sum_{i=1}^{N} layer_{i}+layer_{i}*layer_{i+1}\)。

训练

网络训练的主函数为:

def fit(self, Xi_train, Xv_train, y_train,
Xi_valid=None, Xv_valid=None, y_valid=None,
early_stopping=False, refit=False):

Xi_train,Xv_train,y_train;Xi_valid,Xv_valid,y_valid分别代表训练和验证的数据集特征域以及特征值。具体含义可见之后的主流程中的具体例子。

loss,opt = self.sess.run([self.loss,self.optimizer],feed_dict=feed_dict)

至于训练的关键语句就是上面一句了。通过feed_dict喂入每一个batch的数据,进行训练和传播。

主流程

这里按照main函数的执行思路进行剖析。

首先,这里提供了一个DataFrame数据集,包括训练集以及测试集。我们首先需要分辨出哪些特征是数值型特征,哪些特征是类别型数值,这是为了之后进行onehot,以及进行特征域的划分。

每一个数值型特征代表一个特征域,每一个类别型特征代表一个特征域,类别型特征进行onehot之后,每个类别特征域下都有若干个特征。

DataReader

DataReader.py文件提供了对DataFrame数据集的初始化以及进一步处理成可以直接训练的数据。这里主要有两个类,FeatureDictionary通过gen_feat_dict()方法,能够得到将所有的特征映射到从0开始的一个特定的数值tc,规则如下:

假如该特征是数值型特征,映射到一个唯一数值tc
假如该特征是类别型特征,每一个类别映射到一个唯一数值,并且每一个类别映射后值tc都加1
每完成一个特征的映射,数值tc+1

这个步骤类似于将类别特征进行onehot,并且得到每一个特征的特征域。

DataParser类则通过对原数据集进一步的处理,得到xi,xv两个列表。这两个列表分别代表原数据集的特征在经过FeatureDictionary后的映射值,以及其原来的数值(如果是类别型特征,xv就令为0)。有如下例子:

假设我们的原有数据集为:

numeric1 numeric2 numeric3 cate1
1.3 3.2 2.0 0
67 3.4 6.7 0
23 4.5 2.4 1
2.6 1.6 5.4 2

经过转化后,xi为:

numeric1 numeric2 numeric3 cate1
1 2 3 4
1 2 3 4
1 2 3 5
1 2 3 6

这里的4,5,6就是类别特征域下不同特征的映射。

xv为:

numeric1 numeric2 numeric3 cate1
1.3 3.2 2.0 1
67 3.4 6.7 1
23 4.5 2.4 1
2.6 1.6 5.4 1

这里的1就是类别特征域下的值。

完成数据集的处理后,通过交叉验证就可以进行训练了。另外,这里使用了特殊的评估函数——gini_norm。

这里将CTR预估问题设定为一个二分类问题,绘制了Gini Normalization来评价不同模型的效果。假设我们有下面两组结果,分别表示预测值和实际值:

predictions = [0.9, 0.3, 0.8, 0.75, 0.65, 0.6, 0.78, 0.7, 0.05, 0.4, 0.4, 0.05, 0.5, 0.1, 0.1]
actual = [1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]

然后我们将预测值按照从小到大排列,并根据索引序对实际值进行排序:

Sorted Actual Values [0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1]

然后,我们可以画出如下的图片:

aaarticlea/png;base64,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" alt="Gini Normalization1">

接下来我们将数据Normalization到0,1之间。并画出45度线。

aaarticlea/png;base64,iVBORw0KGgoAAAANSUhEUgAAA4wAAAJhCAYAAAAKZz5KAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAOfRSURBVHhe7N33d5zneSb+axp6IwASANHYSVFUpQolRZIdRXYS2+s4sk9sJ7tO4ixzdveH5E/IX7A5J/F6bTpZ55vEVkwVW7KKVSNZJEiwE7333oEBppfvez3vDE3RkEQSIMqL63POc2Yw884QtEVyLtzPc9+upAUiIiIiIiIiN3CnbkVEREREREQ+RoFRRERERERElqXAKCIiIiIiIstSYBQREREREZFlKTCKiIiIiIjIshQYRUREREREZFkKjCIiIiIiIrIsBUYRERERERFZlgKjiIiIiIiILEuBUURERERERJalwCgiIiIiIiLLUmAUERERERGRZSkwioiIiIiIyLIUGEVERERERGRZCowiIiIiIiKyLAVGERERERERWZYCo4iIiIiIiCxLgVFERERERESWpcAoIiIiIiIiy1JgFBERERERkWUpMIqIiIiIiMiyFBhFRERERERkWQqMIiIiIiIisiwFRhEREREREVmWAqOIiIiIiIgsS4FRRERERERElqXAKCIiIiIiIstSYBQREREREZFlKTCKiIiIiIjIshQYRUREREREZFkKjCIiIiIiIrIsBUYRERERERFZlgKjiIiIiIiILEuBUURERERERJalwCgiIiIiIiLLUmAUERERERGRZSkwioiIiIiIyLIUGEVERERERGRZCowiIiIiIiKyLAVGERERERERWZYCo4iIiIiIiCxLgVFERERERESWpcAoIiIiIiIiy1JgFBERERERkWUpMIqIiIiIiMiyFBhFRERERERkWQqMIiIiIiIisiwFRhEREREREVmWAqOIiIiIiIgsS4FRRERERERElqXAKCIiIiIiIstSYBQREREREZFlKTCKiIiIiIjIshQYRUREREREZFkKjCIiIiIiIrIsBUYRERERERFZlgKjiIiIiIiILEuBUURERERERJalwCgiIiIiIiLLUmAUERERERGRZSkwioiIiIiIyLJcSUvqvmwh8/PzGBwchN/vh9frhdutnx2IiIiIyOpLJBKIxWLIz89HdXU1CgsLU8/IZqDAuEU1NTXh+eefR0dHB/Ly8pCRkZF6RkRERERk9UQiESwtLeHAgQP45je/iSNHjqSekc1AZaUtipVFhkUu3hcRERERuRP4WbO9vV2fOzcpVRi3qPPnz+P73/+++UP7ta99DYcOHUo9IyIiIiKyetra2vDzn//cbEn9n//zf+Lhhx9OPSObgQLjFnXx4kWcOHHC3D9+/DiOHj1q7ouIiIiIrCZ97tzctCVVRERERERElqXAKCIiIiIiIstSYBQREREREZFlKTCKiIiIiIjIshQYRUREREREZFkKjCIiIiIiIrIsBUYRERERERFZlgKjiIiIiIiILEuBUURERERERJalwLhKAoEABgYG0NTUhHPnzuHMmTPmtq2tDX6/P3XVZwsGgxgeHkZraysuXbpk3uP8+fNobm7G+Pi4eT4ej6euFhERERERuXMUGFfJ1NQUTp8+jeeffx7/5//8H/zv//2/8Y//+I945ZVXTAC8GclkEtPT06ivr8fLL7+MH/3oR+Y9vv/97+PFF19EY2OjeT4SiaReISIiIiIicucoMK6SWCyGpaUlLCwsmIoiq4GsCt5shTEajZrrRkdH0d7eju7ubiwuLl5737GxMVN17OjouKWKpYiIiIiIyO1SYFwleXl52LdvH5544gn80R/9EZ599lmUlZWlnv1s3Go6NDSEvr4+EzYLCgrwX/7Lf8Hx48fxjW98AwcPHkRnZyfOnj1rqowiIiIiIiJ3mgLjKsnJyUF1dTUOHz6M+++/HwcOHEB+fn7q2c+WDoysMLpcLpSXl+Oee+7BI488gocffti898zMDHp7ezE/P28qkolEIvVqERERERGR1afAuEqysrJMRbGiogKFhYXIzMyE233z//Omm+YwFPI9WK1k1ZLvs337dpSUlJggyWDJLapqfiMiIiIiIneaAuMq8Xq9JuCxqsiQ5/F4TMC7WeFw2DTO4bnFbdu2mfDJEMr3zc3NNSsjI8M0xmFYZMBUYBQRERGRz2R9fkwmEmbxvsitUGDcIBj+GAIZHBk4GRAZOtMYHLntlc/xGgVGEREREbkZLDgk4jGzeF/kVigwbhA8j8hziQyBDIc+n+9jW1p5n48xRPKamz3DyBEcbJLDZjocy3Hx4kWz2L11dnbWdGHVXxwiIiIiDhSLAIEpROdHMT89jvn5WeszpMazya1RYHQ4juDgKI4PPvjAzIg8ceKEWZwPyQY6oVBIlUoRERERp2FBILwATHYiNHgFIz1NGBkeQDAYSF0gcnMUGDeI6yuIrPrdWEG8vgLJa26sQIqIiIjIFpe0PjvGo0BwDpjpQXKsCfHRRiyMdKJ3bBL9MwEEIioUyK1R4tggGAKvP6PITqjXV/4YIq8/48hrrz/j+EnYhIcjPj73uc/hW9/6lpnryPXVr34Vu3fvNo11buZ9RERERGSDS1ifHSMBYLYP6HwHibbXEOk/j+mJEbTPedAZzMNi3Ju6WOTmKDBuEAyBpaWlptMqzxZyeD+3izIoMjxy8TwiZWdn33RgZGdVjuTYtWuXmet49OhRsw4dOmS6sfK85K10cxURERGRDSZufUYMziI52w+MXAb6zwADpxEYbEb/9CK6/B4MhTIxFclEOKlCgdwaBcYNgiGQw/kZ4ji8v6ury4zYYEVxcnLSNK7htlRexw6qvFVlUEREREQQWQKme+DqOw00ngSaXkJy5Cpm/Iu4EKzA+ehezMTzAPY5VK9DuUUKjKuE20X7+/vR1NSEK1eumC6knKs4MTFhupNevnzZNJlhGBwZGbm2eA1DISuGDIwc2s9gyOsaGhpQX1+P8+fPY3BwEMXFxWYbaWFhoc4wioiIiGxVbGiTiAGhBWCmFxi9CgzUm6oib+OTHQiFgpiwQmJLZAc6IqVYSGSkXixyazx/Z0ndlxVg+Pvwww/x/vvv46OPPsK5c+fQ09NjAuHQ0JBZ3GLKrqXXB0YGTZ4z5FZUVg15bpHbUflca2urCYsMobyO20gffPBBs72UVcaVYCDleA3iFtWdO3ea+yIiIiKywSXjQDQEzPUDrCr2fmCHxfEWIDCJsCsDczm70eE5gLrQLvTHt8Hry8DOohwcqSzEjoLM1ButDX3u3NxUolplrPqlzw0ePnzYhLyCgoLUs5+MFUNexwrjwYMHsXfvXhMiecaQ4bC8vBx33XWXaWDDx0VERERki2EH1NC8FRQHrRR2xQqJZ611Chg8Z4XFZmB+GMlYGIvIQ0eyBi3WGo3lYzHmQSypnhVye1xJTW1fFawA8qzh/Py8qSSmR2CwoQzPGrJ6WFRUZLqSXv8/OcMlK4xsekN8n5mZGSwsLCAYDJqmNwyh3LLKpjjpa1d6fpE/5eE8RmLXVP60R0REREQ2MBMWB4CxJiskWmFxohXwjwHBGSAatI8nerLQ5t6LX+BzOBvdj/5IHmKeHJQXZuHY7hJ885EaHKn87GLGatLnzs1NgXGL0h9cERERkQ2OH9M5WzEaAAJWKJwftEJimxUYr1iB8bwdHtkhlecZLRFPLpYyy3AheQg/CT+Bi5EaBONuZGX4FBjltmlLqoiIiIjIRsSwGAubrabo/QhofQVo+QXQ82tgwXrMhEXrmpSAOx+9GfvRnXEAU4kCExZ/86zI7VFgFBERERHZSFgxDPvtUDjWkDqreBror7e/ZrMbPm8qiwkkXVYw9GZhzlOM1kQNmmNVmEnkIJ50Iamzi7JCCowiIiIiIhtJNGhXFYcumpmKaHzBCoxWWJzrs5+7QdKTgVhmKSa85TgfLMOlxW2YjWmMhqwOBUYRERERkXWVOqvIAfw8pzjOpjZWQOw/Za2zwNhVu6rIpjfchnodNiMJunIw4qlAD6rREy3GcCQLocTKGiSKpCkwioiIiIisJza34cgMdjztrwPafgk0vwx0vWcFSCsosqrIQHmDdOfK2WQeLif241JiL2YTeXBpG6qsIgVGEREREZH1wDOIrCoujNhzFFlVHLACI88qjjZYSbDXriryumUCY8LtQ8RXhGlPOZrjlWiPlMOfyEo9K7I6FBhFRERERNYDO6CyqjhyFWh8CWh4Aeg9Dcz0WEFyMXXRJ+N8xcWcaoxn7UJ3tBj9oSwsJfTxXlaX/osSEREREVkT6bOKAbsDKgfvD54DBk5Z64wVHC/ZZxU5iP+Gs4o3YmfUJVc+uly1aEvWYChaiPmYFzEFRlll+i9KRERERGQt8KxiIg4sTVpB8QLQ9oZdWWx/G5jptgf0p4bwfxqGRXgyMI0CnAnVoC5YjZl4dupZkdWlwCgiIiIicicxJLKquDgOTLTYVUU2t2FVcfSSFRa7gNCcXVVc5qzijWLuTPh92zHiqURbtAzd4SL4E77UsyKrS4FRRERERORO4lnFwCQw1gS0/BxoPAn0fghMtdsD+G9RyJ2Pkax96M/Yj/Ekt6J6zJB+kTtBgVFEREREZLVx+ynHYfhHgUkrGHILKucq9tUBw5ftLaiB6c88q3g9bkVNeDIw7ylCa6IWzYlqTMXzEE1Yjyswyh2iwCgiIiIispoYFrm1lIGQ4bDjLbuqyDOL011AODUq4xYl3V4kMoow4d6O+kA5zvlLMRPLSD0rcmcoMIqIiIiIrAaeVYyGgKUJYKINGLpoz1XkGr4ETFlhMV1VvImzijcKu7Ix7q1Av6sandESDIZzEEx4Us+K3BkKjCIiIiIiqyEetUdijLcCLa8CDSeB7vftRjfhBeuCWw+J11tAHppd+9Fkrdlkvnm3pLaiyh3m2MAYDocxOTmJiYkJBAIBxONx6w9U0twfGBhAS0sLrly5gubmZoyMjMDv9yMWu/WtASIiIiKyhZmziiG7A+pUp6kqJtkBtf80MHwBmO62x2jErGtuU8LlQ9SXhxnvdrTEq9ASK8d8IkthUdaEYwPjwsICWltbTSCcnp5GNBpFIpHA1NQU6urq8MILL+DHP/4xTp48iQsXLpjQGAwGU68WEREREfkM5qyitYKzdgfUrndNVdHV+ksrPLb9ZlTGCsW9mQhlV2Iiowat4VJ0LOXCH/emnhW5sxwbGFkxbGtrQ3t7u7nPwMgQOTY2ho6ODnR3d5sgySokg2X6OhERERGRT8Xzh2ZUxrQVDDvs84n9Z+3ZisMX7bCYrirexlnF67Ez6pIrHz3uarSjFgPRAsxEM0xnVJG14Nj/0hYXF9HV1WWCIbencksqw+Lg4CDm5+dRUFCAJ554AkeOHEF/fz8uXryI2dnZ1KtFRERERD4BzyqG5u2w2PYa0HQS6HwLGGsAglaIXGFITGNYhLVmkgU4G95trVpMJ/JSz4qsDccGxkgkYiqIMzMzJizya2475ZnGjIwMVFZW4u6770ZNTY2pLGpLqoiIiIh8KlYVWTnkuURWFftO23MVOWNxuhNYHFvRWcUbxV0+BHylGPOUozVWjs5wCRYTvtSzImtjy9Sy2exmaGgIc3NzqKiowKFDh1BVVYWioiL4fPqDJyIiIiKfgmcVWVWcaAW6/xNo/BnQ+qr1dbPdGTW28rOKNwp78jGZswfDWfswkijCdNSLsLaiyhpz7H9xHo8H2dnZprrY19eHpqYmc06R20537NiB3bt3m7DIaqPbrT94IiIiInIDbi1l05rALMwMRQ7h51nFQVYVz9vjMjhzMRqwrl29bvvcisoh/X53AdqTtWhJVGMilo9g3IOEOqPKGnNsUmIQLCkpMaMyPvjgA7zyyivmnCK3qW7bts1UGb1er2mGw3EbLpfLLBERERERI2GFwPCivQW141dA80v2LQfys+ENA+UqnVf8GAZGXy4mXcWoC+xEnb8c07HM1JMia8uxgTE/Px8HDx7Evn37TDBkKNy+fTuqq6tRVlZmmt4wIGZmZprHeJYxJycn9WoRERER2bJMVXEGmOlNdUA9ba1TwOA5uwOqfzRVVbwDYdEScWdj2luBAXc1OqOlGIjkIZDQGA1ZH44NjKWlpaYL6pe//GV88YtfNLf/9b/+V3zlK18xAZFbVhkiWW3kdb/zO79jXiMiIiIiWxyriuyA2vtroOkFoOXnwGijvf2UjW/uML8rDx3e/Wj3HsBMshCRhAtxaCecrA/HBkZWC1k1ZIWRHVHLy8tNZbG4uBhZWVmmushB/qwwsvkNF888ioiIiMgWY84qRoHgnL39dOQyMHDWWnXWqgfGm4HFUSCyZG9TvUOSLh/i3hzMebajJVGDlthOzCSyzblFVzJ1kcgac3y3F55R5NzFgYEBNDQ0mCH9HODPsMjzjXyei81xWHEUERERkS0mEbfCYACY7QM637XPKra9boXFc3ZVkSHxDm0/vV7C40MkuwwTvp24EtyBhsUCLMTUzV/Wl2MDY3qMRk9Pj7nlcH52Su3s7DRD/dN4HYf5c/G+iIiIiGwR6aribD8wegXoP2OFxFN2UOT4jIUhu6q4BmGRZYuAKweD7ip0oQZ9sUJMRjI1RkPWnWP/C+TA/rNnz5oOqW1tbWa0Bm8ZIJeWlswoDc5fZLXx3Llz5lq+RkRERES2CIbBmR4rKNYBjSeBppfsJjd+DuAPpi6688weN5cbM8l8nI/tMWs2nmeeE1lvjg2Mfr/fzF1kUGSX1Ly8PFNB5PZUbkFNB0ZuS2UFUhVGEREREYfj8SNuLw0t2NtPR6/aZxQHTtu3443AwogVJP139KzijRLuTIR8xZjwlptzi23hUiwkNUZDNgbHBsZwOIypqSlzVvGBBx7AY489Zgb2szsqG94wMLLhDec1ks4wioiIiDhcMg5EQ8D8IND9n0DLL4DWV4E+KzD6raDIcRprsP30RlFPLuZydmEscx8GYtswGrECZFxbUWVjcOx/iQyArBgyBLJDKrug5ubmmqCYxufSS0REREQcimcVWVWcs4Iiq4r9Z62QyA6o1i07oDJArtFZxY9zI+n2wu/ORydq0ZqswUisAEsxD+JJjdGQjcHRP7pgOEwHxBtDIQNlKBQyi1VIEREREXGoaNAKiwPAYD3Q9CLQ+AIwdM4KisPWc1ZQXCdJfk71ZGEKRTgdrEJdoALT8azUsyIbg2MDI2ctcgsq5zGOjIygu7vbnF9kh1R+3dHRgcuXL6O3t9dcwyokXyMiIiIimxwLBRyVEfZbQbEfGGu0wyLPKrITKr9mB9Tw/JqeVbxR1JWJOd8ODHkq0R7djp5QIZYSGqMhG4tjA2N+fj7uuusulJaW4sKFC3j33XfNLMbR0VHz9euvv46f/vSnqKurw/bt23HPPfegsLAw9WoRERER2bTMIP6I3cCm9xTQ+grQ/HOg+9d2UIyHrKC4/jvMAu589GXuR4/vAKZRgGDCjbhOSskG4+jAeODAAezdu9d0Q+WW1KKiItMtlaM0JicnzRnH7Oxsc93BgwfNa0RERERkk2K1kFXFhWFgrOHjHVBZVZzrs583VcX1C4xJlxsJbxbmPMVoTVSjOV6F6VguYgmX9ZlVZxdlY3FsYGSDmz179uDo0aN4+umn8cwzz+Cpp54yHVO5/bS2thbPPvssvvKVr+CRRx7Brl27zGtEREREZJPiWUVWFTlLkTMVOVuRDW44QiO6ccanJT0ZiGUWY9JThnOBclz0b8NszO7cL7LRODYwcvYiAyC3mzIMHjp0CPfddx/uvvtu8zUDI7essrqYPuvIkRsiIiIislkk7e2n7HDKTqfseDp4zgqJqbOKow32GcbQnL1FdQPgjtMgcjHqqUSPqxo90W0YjmQhlNDnUNmYHBsYOZB/aWnp2jB+bjetqakxW0+5GBgLCgrMTEZew2v5GhERERHZJNjchiMz/GN2QGx7ze6C2vWOHRTZAXUd5ip+kvTxxDkrMF5O7MPl5D7MJfLh0jZU2cAcGxj9fj/a29tx6dIlNDY2mq6obHozPDyMoaEh9PT0oKGhAefPnzerra3NvEZERERENjieQWRVcWE0VVXkWUUrMHKuIquKM71AKNUBdQMFxoTbh4ivCNOeHWiJV6ItsgMLiczUsyIbk2MD48TEhOmM+pOf/MR0Q+Xifa5/+7d/wz//8z/j//yf/4Pvf//7+PGPf2yuHR8fT71aRERERDasWBjwW5/bRq8AzS8BDS8AfR8B091WkFxMXbTxxD3ZWMypxnjWbnRFS9AXzMaStqLKBufYwMitpuyOytmKmZmZZl1/n2ccObCfcxnHxsbM4hB/EREREdlo0mcVA3ZTm4nW35xV7ONZxUvAbD8QnNkwZxVvxM6oi64CdLtq0ZqswXC0EPMxH2IJx34cF4dwJTlvwoG4vZTbT5fbZsrfMoMiK4qDg4NmqH9FRQW+8Y1vmKY4W8HFixdx4sQJc//48eOmm6yIiIjIhsSwyEH8DIujV4ERa41Zi1tPg1N2kNxg20+vx7AITwa63LvxhvvzOBs/iI5gAWZia7MdNTfTi/LCLBzbXYJvPlKDI5UFqWfWhj53bm6O/ZEGm9ywM+rDDz/8W4tjNB577DE8+eSTpnMq5zOyIsklIiIiIhsEQyJHZSyO21XFoQvAQJ19XnHkihUYu6zAmOqAukHDIsXcmfD7tmPEU4m2aBm6wkVYSvhSz4psbFu2Bp6RkYGSkpKPDfIPh8OpZ0VERERk3TEILk0BY81A8y+Ahp8B3R8AU21AeD510cYXcudjNGsvBjMOYDxZCH/Mg6g6o8om4djAyPDHEMgtp5+2uC2V21aj0ag50ygiIiIi64inpVhV9I8Ck+12VbGPcxXr7IH8M91AYHrDnlW8Hreickj/gqcIbclaNCUqMRXPQzjhRkKBUTYJxwZGVg2bm5tx5syZ31p1dXX44IMP8Mtf/hKnT582Mxizs7M1uF9ERERkPTEscmtpYMY+p9jxFtBwEmh/A5jusKuKPKu4Wbi9iGcUYcJdirOBcpzzb8d0LCP1pMjm4NjAyI6n7Hza39+/7GJ1cXR01FQWd+/ejQMHDphzjyIiIiKyxsxZxRCwNAlMtNlVRVYUOYx/xLo/ZYXFdFVxA59VvFHIlY0Jbzn63TXojJZgMJKDoMZoyCbj2MDI7aUMg9yaev2KRCKIxWJmtEZlZaXp0vSlL30JzzzzDHbs2JF6tYiIiIismXjUHonBxjatv7Srit3vW183Walrwbpgcx4bWnDlocW9H82ufZhNFCCedCGpraiyyTg2MDIQMgBWV1cvu3bt2oWDBw/i8OHDuOeee7Bnzx7k5uamXi0iIiIid1YSiIXsDqjTnfb5RFNVPA2MXLQfY8WR12wyCZcPUV8eZj3b0RyvQkusHPOJLIVF2ZQcGxg5KoMjM55++umPraeeesosjtV44IEHsHfvXhQWFprzixqrISIiIrIWeFbRWhyJwQ6oXe8CjT+zq4uTrdbjs5uiqc0niXszEcquxHhGDVpC29G+mIeFuDf1rMjm4pjAyMY1PT09aGxsNKuzs9N0SWUH1BsXG+LMzc1hamrKDPfv6Ogw5xoDgUDq3URERERk1fH8YSxsfXCbtoJhh6kqJjlTkWcVhy4CU+32c6wqbqKzitdjZ9SAKxd97mp0oAYD0QJMRzMQTTi2TiMO50paUvc3NYbF9957D729vebrW60WsvENzzHydiu4ePEiTpw4Ye4fP37cnOUUERERuaMYFsMLVjDssgfwjzYCs9ZnN/+YfVbRbD/dnEGRGBZhrV7Pbrznexr1iUNoWNqGyWh26or1kZvpRXlhFo7tLsE3H6nBkcqC1DNrQ587NzfH/KiDjWxYZWTlcH5+3tzeylpcXDTvISIiIiKrzFQVp4CZnt+cVezjXMVUB9RFKzDGuNNr84ZFirt8CPhKMO6pQGusHJ3hYiwmNEZDNjfHBEaeQ7z77rvx+OOPm/OJt7r42oKCtf1pi4iIiIjjcTMbq4ocl9H9AXD1Z0DLK8B406YZwH+zwp58TOXsxUjWPgzHt2Ey4jND+kU2M8f8F8wOp+x0yo6nt7PUJVVERERklfD8IYNgcBbJ6W5g+AowcNauLHLG4kQzsDQBRAPYVIP4PwG3oibdXvjdBWhP1qA5UYOJWD6CcQ8S6owqm5xjAmNWVhbKyspQW1t7W4uv5XuIiIiIyAoxBIaXgOkeuDreAppfBDretILjeSAwaQfKTdrUZlkMjL5cTLmKUReoxBl/OaZimaknRTY3xwRGr9eLvLw8M06Di9tLs7OzzQD/6elpDAwMoLu723REbW9vR1tb28cWn1eXVBEREZEVYFUxMAPM9AEjPKt42l6DVlDkuAz/qF1VdFJYtETc2Zj2VmDAXYWOaCn6InkIJDRGQ5zBsZuqo9GoGZ/BkPjOO+/gJz/5ienO9L3vfQ//8A//8FvrpZdewtDQUOrVIiIiInLLwot2B9Tej4DGk0Dzy8DolVRTm3DqIudZdOWhy7sfHd4DmEkWIpJwIQ5tRRVncGxgZNdTzmJsbW3F2NgYRkZG0NzcbL5mxZFhko9xDAcXrwmF2MpZRERERG6KOasYBULzdgdUhsNBzlU8DQzUA+PNdlUxsuSIs4o3Srp8iHtzMOcpRXOiGi2xnZhNZJtziy5HDK4TcXBg5FD+06dPo6GhASUlJTh06JDZplpRUYHf//3fx3PPPYcnnngC9913H+69917T9IZbWkVERETkJiXiQDQIzPYDne8BjS8Dba9bodEKi2xqw5DosO2n10t4fIhk78C4rxJXQjtwdbEQ8zFtRRVncWxg5EzGvr4+TE5OYseOHWYgPwMhx28cPnwYx44dw6OPPmrGaWzbtg0ej+eWh/2LiIiIbEmsKgbngLkBYOQK0H8GGDgFDFlBcaIFWBiyq4oODossIAZcORh0V6MbNeiLFmEikolwwmNfIOIQjg2MyWQS8XgcPp8P5eXlprLILqgMhhyfUVlZiYceeggHDhww21d5flFNb0RERERuAsPgbJ8dFJtOWutFKyxeTDW1CaYuci6z29TlxmwyHxdje3DeWrMJ7VQTZ3JsYExjQGRlkdtRGRTdbrcJiKxAsrMql9/vx9zcnGmUs1LpZjvDw8NobGzEuXPnUF9fj8uXL6Orqwvj4+OfelYyHXTTDXuuXr2KS5cu4fz582Zxiy0rpzMzM4hEnDPoVkRERDYwDt/n9tOQ3w6KYw32GcUBdkE9Z33dBCwMA2HreQeeVbxRwp2JkK8YE95yc26xPVKKhYTGaIgzOTYwcnspwyEDIzEY5ufnm/sMbhcvXkRTU5MJX/Pz84jFYmYEx0oFg0ETFhkU2Zn1H//xH8368Y9/jDfffNOESP56n4TfA0MnK57s7vpv//Zv+NGPfoQf/OAH+P73v49///d/x69//WvT0IfBV0REROSO49ZSdjmdHwJ6PgRafgG0vgL0WYHRPwLEQ6my29YQ9WRjPqcG41l70R/fhpFwJoJxx9dhZIty7H/ZOTk5qK6uRlVVFTIzM81MRja24dZUVufYLbWlpcVU/HiGkVtU+ZqVYHWQlUG+N8MoG++Ew2ETRvk45z/yOT7OKiMriTfi9fye+vv7TfdWdnJlCGWQ5PuwwyurjAyerIry1xQRERG5I0wH1AUrKA4Co1eBgXQH1LN2VXGuH4j47UAJ555X/A03km4v/O5CdKIWrYkaDEfzsRjzIJ5ULwxxJscGxuLiYjzyyCN4+OGHTaMbLt6///77TcjioH6GN1b7HnjgATz55JMoLS1NvfrW8T25GAbPnj1rwt6DDz6I73znO/jrv/5rPPvssyYMMjSyAvlJW2AZLNva2sx2VFZH2aDn61//unmPv/zLvzSNegYHB832VP5aDJIKjSIiInJH8Dwiq4ocvM9zio3WYgfUOeux6FLqoq0j6bY+OnuyMJ0sRF2wGqcDFZiJZ6eeFXEmxwRGhi+GMC4GM55X3L9/v1k8w8iv2Sn14MGDqK2tNZVGdk9lFZJjNTh2I71l9XawWsimObOzsxgdHTXfAyuaDHhcd911lzlHycoiK4gTExPmmhvxXCKDIKugDIMcCcLXMnxyBMjOnTvNVtT0WUiFRREREVk1/FzBs4ocwM8OqONNdkAcqLMb3IxdsQNkeH5LnFW8UdSViTnfdgx5KtEe3YHeUCEWE77UsyLO5JjAmB6jwcoem9iwOsewtX37dhMW2SGVwZFh8emnn8bXvvY1fOMb3zAzGTlag9dx6+rtYvjjCA8GVr4Pt7lyMYTya94ysJaVlZltpaxwflpX1vQWVAZh3ufi/XTnV74nz2XynKaIiIjIqkgN4k+y2ynPJ7a+CjS/DHS/bwdFnmN08KiMzxJw52MgYz96Mg5gEgVYSnAraupJEYdyVGBkWLxy5YrpSsqmNmxuMzY2Zqp1DGdshMMq365du0zVjts99+3bdy1UMoDdLoY5bm/l98Ewxy2wfE/eZ3hlYGVFs6ioyFQI0+cbb5SRkWG+H4ZNBkZWK9kp9cyZM2arK8828jkGX74/f0+aHykiIiIrwmohq4oLI6aq6LrWAfUsMNpgd0ZNVxW3YGBMutxIeLMw79mG1mQNWuJVmInlIpZwIamzi+JwjguM7CD6L//yL/i///f/4vnnn8dbb71lQiS7jvKa9FnD1ZbeksoQyJDIMJfu0EoMo+kAyWt47XJNbxhouT2WQZZVRTbPYbfVv//7v8f3vvc9fPTRR6aRD89nsoKqsCgiIiIrFg0hyW6nw5dTZxVPAn1nrKDYaz2nOdVJTwZimcWY8JThXKAMF/zbMBvLSD0r4myOCYzcpsnqHRfDGUMZK4tsEMMmMpyDyFEXbBbT3Nxstq9yCymrfazkrdT1W0b56/P7uX67KO/zMYZIXpPeanojXsdQycX3uTEQpgMvF9+H69MCMM9Ecgssf7/srMrKKxf/N+F5S/7e70SAFhERkY3M+reflUIO4OdW04lmuAbPAQOn7LOKo1eAuT4gNAfEt/bcZ35KCrpyMOrZiV5XDbqjxRiJZCOY0LEg2Ro8f2dJ3d/UuJWTWz4PHDhgmtiw2Q3DI4MZu5JyhAYDI7d3Xt+lNL1dlK9fCVYMGUAZzhhUWU1kg51051VWN9mohs/xjCXPU/J7ZJXwenyO5xsZdHktm/N84QtfwOc//3nz++JWV3Za5a/DM5HcvsqQ+UlnGfn77OjoMCHxww8/xKlTp8x9Vl1ZkeX7sVrJqqWIiIhsEfxhMbeX+seA4YtA70fW+tC6f8l6bNQOkmbr6db+oXL6dz/p3o5L3vtxIXkAHeESzMf5uXHz7PLK8LqRl+VF1bYcHKksxI6C2+/bcTt4xIqfP+no0aOmiaNsHo750QgDGgMUO4myKylD0D333IO9e/eivLzcNJ1htY4zDXl+kGGJ8wwZInnmkVVHjrS4XddXEK9vVpN2fQWS19xYgUxj8OQ5RZ695PZUhs6HHnoITzzxhBn9wUDM6in/4KXPZvI9RURERD4TQyLDIIPieDNgqop11u1ZYOQyMNNtVxW36FnFGyXdPkR8RZj27EBLvBJt0TL4kwxbOhIkW4fjaunp4MbGMKzgMWixI2p6HiI7ozJIEqtsL730En7wgx/ghRdeMFW928UQyMH/6TOKrCheH+QYIvlY+owjr+VrbsQtsp2dnWZgP6uPbG7Da/l7YujlfEn+3vgefD822mEQ/SR8DUPm5z73OXzrW9/C8ePHzfrqV79qAjarq8t9HyIiIuJA7HK6OGE3smH304afAT0fAlOdVpBcTF0kaTFPNpZyqjCetRudkRL0BbOxGNfnJtlaHBcYWUVkAMrOzjaBi1stGRxZqeNcRG5b5TU8v8cqI8/ypQMaq4+3i4Eu3RmV8xHTHVMZEBkc+RhnL3KLKLejcqsqQ9+NGCwZGrlYleTvhSE4/ftKVyWvP8v4abjVlv87sDMsgzK3AXCxsQ6D53LnJEVERMRB+FmBjWvYAXWyHRg6D/SfspvasKrIDqjBmS1/VvFG7Iy66MpHt6sWbckaDEcLMRf1Iaazi7LFOP6/eIYuhrZ0QGxtbTXbT7u7u82WTgYmDu9Pj6m4XQx/DIEMjfz1+N78NXkmkV/zlr8+zzGySshfk6H2RgyF/D54yzOR3HrKIMvQyVtum+V7M4yyOsgKIn8PIiIiIr/FnFWMA0tT5nxisv1NoPFFoP1X9vZTVhW5/VQ+hmERngxMowBnwjU4E6rGVPy3P7eJbAWOCYystDEcspLHQHVjd1QetGWzGAY2Xsdwx1mMDz/8MI4dO2aG9/PM4O1KBz1W7diohgGyp6fn2hlJNt1h1ZGPc3h/eh4jK5tc6bmM3H7KMMlKKMMhq59s1MPurlwMnaxmpmc6ftLWVhEREdnCGBKjQWBxHJhoBQYvmLOKrgFWFS8B01ZYTFcVdVbxt8TcmVj0lWDUY59b7AoXYSnhSz0rsrW4rKDliPZX6aYyrOqxaQwXAxs7ojKM8bfJrZkMigxbvE1XBBn0GBZZ+Vuu6nez+Gtw3mM6IPJ7YOhjoOPWUG5F5dbYZ555xoQ9hj9+v8Tvjc/xOoZdVkE5rJ8VRj7GraisMrKqyGu5pZRNcFgZ5fvf6rZSBugTJ06Y+zzTyG2qIiIi4hAMi4Fpewsqx2SMNQLzA1aAnAQifisRhVIXynL8GTswmnsY55N34WX/QTQHSxFNupCw1maUm+lFeWEWju0uwTcfqcGRytsvktwOfe7c3BxTYWT1jkPuGdY4b7Crq8t0GuVW0OuDFgPW4cOH8eCDD5pOqvwPlpXGysrKFYVFYmhjAOX7HzlyxIy8YEWRgY6PMxDyOT7O7yd9HvF6/B547pKD+9mUhh1e09dy6yl/D3xvLgZcnUEUERERgzWAqBUE2QF1sgMYugD01VmB8bRdVZzpsUKkFRgVFj8Rt6JySP+CuwityRo0xaswGctFOOHetGFRZKUcU2FkSPzpT39qtnByW2i6kshwxvus6LHCx2oiF7dyMoit9vk/VjmvP2uYbqSTrjCyksnwyJDHMMvB+unneR6R200ZcLldlZXRdLdVVlCJAZSv5/vw98HX3Q79pEdERMRB+HGOW0u5BXWsCRi9aoXEK/Y5xaUJe5SGtp9+JobFeEYBmnEAP4s/ibORvRiPZiEQ39z9IlRhlJVwVGB8/vnnzTZQVuhYSWRn0JqaGlM9ZMBilU7VOJv+4IqIiDhAMm4FwSgQ8lvBcNI+m8jh+2NWYOScRYZFhcSbFvQWYja7BucSd+Hflx7C1chOxJMuK49v7s+PCoyyEo7ZkspGMZyx+D/+x//At7/9bXzhC1/AAw88YB5nJU5hUURERByHYTE4B0y2Aa2vAQ0nge537TOLHMCvsHhLFlx5aHHtR7N7P2aTBY4IiyIr5ZjAyAoiz/U9+uijZt4gzwCyWym3b3LbpsKiiIiIOEMS1wbwT3UBQxeBfp5VPAUMn7ce67ArizqreNMSLh+ivjzMerajOVGFllgF5hNZCosiFscERgZCNpe5nY6hIiIiIpsDzypai1VFbjnteg9o+BnQ8oo9PiM4qwH8tyHuzUQouwLjGdVoCW1H+2IeFjb5uUWR1eKowMhtp9p6KiIiIo7DraUxKwgGrEA41WmfUxw4a2YrYviC9Vi7PZyfVUVtQ70l7IwacOWiz12DDtRiIFqI6WgGognHfEwWWRH9SRARERHZ6OIxILxgb0FtewNofAHo+JXdCZVVRdNNXUHxVjEswlrTyQKcjexGfWQXphO5qWdFhBQYRURERDYqVhVZOeQMxeHL9kxFnlfkjEWeVVwcA6IB60KFxdsRd/kQ8JVg3FOB1lg5OsPFWEzc3sgyEadSYBQRERHZiHhW0VQV24GeD+0OqC0/B8Yb7QH8Oqu4YhFPPqZz9mAkax9G4tswGfGZIf0i8huO+RPBAfc9PT1mHuPtrN7eXvMeIiIiIuuG5w/NqIxZe6biCKuKZ+3K4tA5u7ENh/OzqpiIpV4kt4pbUZNuLxbcBWhP1qIlUY3xWB6CcQ8S6owq8jGOGdzPsPjee++Z4Ee32vhm9+7deOaZZ8ztVqABqiIiIhsQw2Jkyd6CyqY2ow1WcOwC/CN2iFRTm1XBsJj05ZqZiy8lnkZ9dD8GI9lYjPtSVziLBvfLSjimwhiLxUyFcG5uDvPz8+b2Vtbi4qJ5DxEREZE1x+2lViBMzvalqoqngb5UVXGyBVgYtquKCourIuLOxrS3DAPuKnRES9EXyUMgoTEaIstxTGDkgP67774bjz/+OB577LFbXnwth/+LiIiIrDlWFae74eo7BTSeBJp/AYxesZvacEi/rKpFVx66vAfQaa2ZZCHCCRfi0FZUkeU4JjDm5uZiz549uOeee25r8bV8DxEREZE7jieCeAYxNA/M9NrjMQbO2HMVB84B4032NlQGSZ1VXDVJlw9xbw7mPKVoSdSgJVaBmUS2ObfocsQhLZHV55jAmJWVhbKyMtTW1t7W4mv5HiIiIiJ3XDIORIPA7ADQ9R7Q/DLQ+ro9MmNx1N6iqu2nqy7h8SGSvQMT3p24HNyBK4tFmI9pK6rIp3FMYPR6vcjLy0NRUZFZ3F6anZ2NRCKB6elpDAwMoLu7Gx0dHWhvb0dbW9vHFp8PBDjHSEREROQOMR1Q5+2gmK4qchsqq4oTTcD8kF1VVFhcdSwgBlw5GHJXostVg75YESYimQgnPPYFIrIsxwTGG0WjUSwsLJiQ+M477+AnP/mJ6c70ve99D//wD//wW+ull17C0JD1l7SIiIjInRIJWGGxzw6KTSeBxheA4UuAn01tgqmLZLXZu03dmE3m40JsL85bazaeZx4VkU/n2MDIrqednZ1obW3F2NgYRkZG0NzcbL5mxZFhko9xDAcXrwmFQqlXi4iIiKwCc1YxDoT9VlDsB8YagMF6KzCetucrmrOKVljk8zqreMck3JkIZRRhwlOGlthOtEdKsZDMTD0rIp/GsYFxamoKp0+fRkNDA0pKSnDo0CGzTbWiogK///u/j+eeew5PPPEE7rvvPtx7772m6Q23tIqIiIisGm4tZZfTeSsU9nwItPzCWq8AvaesoJg6q5jQ9tM7LerJxnzOLoxn7UF/vBgj4UwE4479GCyyqhz7J4UzGfv6+jA5OYkdO3aYgfwMhBy/cfjwYRw7dgyPPvqoGaexbds2eDyeWx72LyIiIrIsVgtZNeSZRFYVOYSfVcWBemC8EZjrv66qqMB457jNkH6/uxCdqEVrcheGo/lYjHkQT+pzn8jNcGxgTCaTiMfj8Pl8KC8vN5VFdkFlMOT4jMrKSjz00EM4cOCA2b7K84tqeiMiIiKrgucRGRaHLgANL1rrpB0W5wfspjayJpJu66OuJwPTyULUBatxOlCBmXh26lkRuRmOr8UzILKyyO2oDIpu6y8OBkRWINlZlcvv92Nubs40yhERERG5ZdfOKi4Cc4PAWNNvzipytuLYFSssWo9z7qLOKq6ZqCsTc74yDHkq0R7dgd5QIRYTvtSzInIzHBsYub2U4ZCBkRgM8/Pzzf2uri5cvHgRTU1NZtvq/Pw8YrGYGcEhIiIicst4VjEeRZLnEvutkNjyKtD0svWh43270shzjBqVseYC7nwMZOxHr7WmUIClBLeipp4UkZvi2MCYk5OD6upqVFVVITMz08xkZGMbbk2dmZkx3VJbWlowPj5uzjByiypfIyIiInLTzFnFRcA/YjqeulhVZGDk7dhVYLbXej5VVVRgXDNJlxsJbxbmPdvQmqxGc7wK07FcxBIuJHV2UeSWODYwFhcX45FHHsHDDz9sGt1w8f79999vzjdyUD8DI6uLDzzwAJ588kmUlpamXi0iIiJyE6Ihu6o4fAVofMk+q9hfZwXFbnvmoqyLpCcDscxtZozGuUAZLvqLMRvTVlSR2+HYwMhzi/v37zeL93l+kZ1SDx48iNraWlNpZPdUViE5VoNjN9JbVkVERESWl7QrhWxcw1EZE61wDZ4D+k7ZZxVHWVUcAIJz9sgMWXPccRp0ZWPUU4leVzW6o8UYjmQjmLCPKYnIrXFsYOQ2VFYMt2/fbsIiO6QyODIsPv300/ja176Gb3zjG2YmI0dr8Dq+RkREROQTmeY2MWBxAmBQbH8tdVbxXSso9tlVxaSa2qyX9PHEuWQ+rib34nJyH2YTBeb/NkBbUUVuh2MDYzAYxMjICDo7O83WUza44W1vb6/piBoOh01XVHZMHR4exujoKEKhUOrVIiIiItdhB1SGQf8YMN4CDFlhkRXF/npg9DIw0wWE5qzrInYFUtZF0u1DxFeIGc8ONMer0R7bAX+SBQGFRZHb5UryQJ8DsRPqW2+9ZW7ps4by7927F1/84hexb9++1CPOxi6xJ06cMPePHz+Oo0ePmvsiIiKyDIbFpQlgsj01JqPZHpOxNGkP4Nf20w0h4ivAYk4NLuEQnl86ikvhnViMexBLOLZGclNyM70oL8zCsd0l+OYjNThSWZB6Zm3oc+fm5tg/PRzaz0H8nLHIKiJvuRYWFkyjm6mpKfT395tA2d3dbaqRqjCKiIjINfyZOgfwL4xYQbENGDoP9J8C+qzAOHIJmOkBAtMKixsEO6MuuvLR46pGW7IGQ9ECzEV9Wz4siqyUY/8EcVQGu6J+4QtfwLPPPvux9cwzz+DRRx81VUU2v+HieceMjIzUq0VERGRLY1hMxoGlKWD4MtD+K6DhBft2usuuKmoA/4bBsAi3F9PJAtSFaq1Vg+m4xqWJrAbHBkY2uGEg5BiN69d99933scVrOH+RFUmH7s4VERGRm8WziqwqcvvpBKuKF4DBOmDgjF1VnLLCYnDGrirqrOKGEXNnYtG3HaPeCrTFytEVLsJiQmM0RFaDYwMjO56WlJRcqyCmFwf0c5QGx2hw9uI999yDSCRiBvhrS6qIiMgWxyDIbabjzUi2vGLPVex6H5hstauKUEjciEKefIxl78dg5kGMJ4qwEPUiqgH9IqvCsYHR7Xab0MhxGjeu7OxsU4HkMH9+vbS0ZM41xmLaWiIiIrLlmLOKIcA/Dkx1AkMXzTlFV/9pYOSCfVaRzW1i+sHyRsOtqBzSv+AuQmuyBs3xKkzGcxFOuJFQYBRZFY4NjIlEwozO4HiNGxeb4czOzmJwcBBDQ0OmEQ6rjHyNiIiIbCHmrKK1grPAWAPQ+TbQdBJoew2Y7ABCC2pqs5G5vYhnFGDKVYKzgQqc9W/HdExztUVWk2MDI0Mg5y7W19cvuy5cuIArV66Y7qisNHKrKiuPIiIisgXw/GEsDASm7FEZrCr2n7EX709ZjwVSVUWdVdywQq5sTHor0OuuQkekBIORHAQTntSzIrIaHBsYGQR/+ctf4oc//KGZ+8KVvv9P//RPeP755/Huu+9ibGwMR44cwRNPPGHOPIqIiMgWEI8CwTk7LLb9Emj6GdD1DjDeYFcbFRI3Bb8rDy2u/WhxH8BssgDxpAtJbUUVWVWODYwc1M9zjB6PB16v1yyfz3dt8exiQUGBqSwyMB48eBD5+fmpV4uIiIgjsaq4OGGPxhi2zyqCZxVNVbHDfk5nFTe8hMuHmC8PM57taElUoSVWgflElsKiyB3gSjp0lgSb2HAwP7emMjQyQKalwyRDJLehMiiyCQ7HazBMbgUXL1401VY6fvw4jh49au6LiIg4Fj/yMBCy4+loAzDCkNgNLI3/5qyiKoubAsNiKLsCl3AQPw08igvhaizEvYhqSP+ycjO9KC/MwrHdJfjmIzU4UlmQemZt6HPn5uboCiODIgf433333Th27Ni1xaH9HOr/wAMPYOfOnZibmzPNb9gQR0RERBzEnFXkqIwZuwPqyGWg/6x9VnHwgh0eF6d0VnETYWfUJVcuet016EAtBqKFmI5mKCyK3CGO/ZM1OjqKN954wyze/yQ3e52IiIhsQvEYEF6wwmIX0P6G3QG181fWBwArOHIAv+mQrqC4WTAswlozyQLUR3ZbaxemE7mpZ0XkTnBMYORIjGg0aobvc64iB/GzSyrXxMQEFhcXzfL7/dcWt60yJDY3N6O9vd08JiIiIg5gqopT9gxFU1U8bS9TVWwH/KNANGBdqLC4mcRdPgR8JRjzVKA1Vo6OcAn8iYzUsyJyJzgmMMbjcbOllCGQAXFqasrMW+TifQbD69fw8DAGBgbMfQZJDu136HFOERGRrYX/nrOqONkJ9P4aaDwJtPwCGGu0B/BrruKmFfHkYjpnD0az9mI4vg2TEZ8Z0i8id45j/oSxushh/AyBrCp2dHRgenraLN6/evWqmbvI2/RqbGw04zfY8KasrAyZmRr0KiIisinx/GF6VMZMNzByBRg4Y63T1joHTLQAi+N2VTERS71INgtuRU26vVhwF6E9WYOWRA3GY3kIxj1IqDOqyB3lmMDI6iKrhk1NTfjoo49w9uxZ08iGi/ffeustvP322+aW67333sOpU6dMhXHfvn148MEHTYMcERER2YQScSBihcHZXqDzHaD5JfvM4uB5YGnCDolqarN5MTD6cjHlKkZdoAp1/nJMxbJST4rIneSYwMiuqOn5irm5uSguLkZVVZVZDIKsInJxhEZ6FRYWoqKiAvfccw/uuusuM5dRRERENhFuLw3OIjnbnzqreAbo41nFVFVxYdiuKiosfqJ09S7uzUHMV7AhVzCjFJMZVeh3V6E9Woq+SD4CCW/qdyAid5Jj5jBGIpFrjW24WDns7Ow0zx04cMAEyOulZzFyGyqDJEOm5jCKiIhsMlZYxHQPMNYEDNWnGtqMASHrcQ7p1/bTT2W6jpqwmI1oZjESnuzUMxvLjKsI3a5aXIjW4u2FGnSHCxGHy/ogm7pAPpXmMMpKOHZw/9jYmDmzyN/evffei/LychMQ0wP8+Tg7q7KrKhvl8HFWIlmh3Ar0B1dERDYlfmxJprafBqaBuX7rH/0Wa12xAuNFYGHIrjqqonhTolZADPm2YdZbilF3BRZd+alnNpZZ5KMbrC5uR9NiPiYj6jtxKxQYZSUcGxjZ/IZnGdk9lYP6a2pqkJGRYYb5Ex8Ph8MmWHKsBh/nIH9uUd0K9AdXREQ2JVYMo0ErQVhBcaAeGL8KTHTYQZFzFfmcwuJN8/tKMZZ3GM3Yi18vVWIgsjGP50Tgw1IyB/5kBhZi6ox6qxQYZSUcGxjZGfW1114zwfALX/iC2Za6XGDkttV33nnHPP6lL33JXLcV6A+uiIhsKuyAyrOIrCrOj1ghsdXugmrOKVphMaxZyrcivRV1xFeDS1mP4Uz8IE4tlGEwrCH4TqTAKCvh2B/PsGsqO6RybAbDIcMit6Smpc8v8jlew2v5GhEREdmAGBbnBuyqYtML9hq+YIdFVhXl1vDcYkYeplzbcTawE+f8OzAT0zZPEfltjg2MnMu4sLAAv99vQuH15xfT+DUH9vM6nmPka0RERGQD4AYojspg5ZDbTzl0f+CstThX0brl1+yAyufV2OaWhV3ZmPRWoM9dhY5ICQYiuQgk7F1YIiLXc/QG8HRjGwZGrut33/I+H2Ng5OJ1Dt2dKyIisvnwHCK7nM5bobD310DLK9b6BdBj3WdQZGMb699uuT0Lrjy0ug+ixX0As8kCxKyPQEkNwBeRZTg2MHI8Brueer1e9PX1mcY2/f39ZtwGF++nH+M1RUVFZtuqiIiIrCNWC1k1nB8CxhpSVcW631QV2RX1WlVRgfFWJVw+xLx5mPWUoiVehZZYOeaSWQqLIvKJHBsYOVtxz549Zr7i6dOn8dJLL5muqZcvXzbr1KlTePnll81zvHbv3r3mWhEREVlHPI/IqiJHZDS9BDS+YA/jZ1CMLqUuktuV8GQilFOOCV81mkLb0bqUj4WYBuCLyCdzbGDMz8/HwYMHTRDkWcXJyUkzaqO7u9ss3udjPNu4b98+HDp0CAUFG7OVtIiIiGNdO6u4aIXCQZgB/IP19llFBsWxq1aAtB4PzQNxnVVciaT1sW/JlYs+VzXaUYOBaCGmIxmIakSFiHwKx/4NUVhYiHvuuQe/8zu/gyeffBJ33XWXeZwhkYsOHz6Mp556ylzDa/kaERERWUM8qxiPIukfswJiHdD2S6Dp50DXe1ZQHLArjpqruGIMi3C7MYN81Ef34Fx0N6YT2lklIp/NsYGRIzN27NhhtqUeOXIEd999N2pra81gfq7Kykrs2rULZWVlZgZjJBIxjW9ERERkDfAMYmQR8I8C481wmaoizypat6wqzvbaVUVep8C4YnG3D0FfCcY9FWiNlaMjXILFhHo3iMhnc/wehOzsbBMOWUFkpZFD/LkeeeQRbN++3YzUqK+vx9mzZzE9PZ16lYiIiNxRsZAVFseAkStA08tAw4tA32lgpscOkrKqIp5cTGfvxmjWXgzHt2Ey4kNYW1FF5CY4/m8KnlFkx1R2QuV9zlqcm5vD+Pi4GdY/ODiI4eFhTE1NIRwOp14lIiIiq4tzGxJWcgnYYzHG24DB83ZIHDgDjF6yG9sEZ+yRGbIqki43km4v/O4idKAGLYkajMXyEYh7EFdnVBG5CY4PjNxqysohG93U1dXhF7/4BX70ox+Z9ctf/hJNTU1mKyrPLzJYioiIyB2Qbm6zNGEHxY7XgMYXgc63gZluIGoFSQ3gX30MjN5cTLm2oS5QhbrFCszEslJPioh8NscERoY+Vgjn5+cxMjKCzs5OXLlyBefPn8elS5dMMOzt7UVPT48Zq9HR0WFeU1paas4yVlVVIScnJ/VuIiIisioYEllV9I8D4y1WWDxnn1XsrwdGL1thsQsIzdlVRZ1VXHURdzZmfGUYdFehPVqKvnAelhIaoyEiN88xgZFbTXkekeMyGBJff/11/PjHP8Y///M/m3mLFy9eNIGSsxbZ5Ka8vBxf/OIX8Y1vfAOf//znTRdVjuIQERGRVRQLA4FJe+h+8y+AhpNAz4fAVLs9gF/uqCVXHrp9+9Hh3Y+ZZKE5t6hYLiK3wjGBkecSWVHkQP4LFy6YCiK3osZiMdMxddu2baiursbOnTtNIxwO6+f8RXZPZYWRlUZeJyIiIivE7acch8EOqJNWMBy8kJqraK2RS3Zjm8C0zireQUmXD3FvDuY8JebcYku8EjOJbHNuMamziyJyCxwTGNm45uc//zmef/55U02Mx+N44okn8Gd/9mf48z//c/zJn/zJtUoizytymL+IiIisMobFZNwKhFPWP86XgY5fAY0ngbY3gOlOu6qos4p3XMLjQzS7FBO+ClwK7sAVfyHmYurVICK3zjGBkQExFAphaWnJLN7nNlUGQ1YOuRWVKysry2xJFRERkVXEs4qsKrKpzUQbMHQxNVfxjBUcLwFTXb/pgKqzineUFdkRdOVgyF2FLtSgN1qE8UgWwgl9/hGRW+eYwMgh/awgPvvss2ZAP88zvvvuu/jJT35izjC+9957aGxsxOjoKIJB6x80ERERWT0MggyE461Ay6v2WcXu963w2AKEF6wLFBLXAsMiP97NJvNwMbYXF+N7MZvIM4+KiNwOz99ZUvc3NVYSeTaR2015yxEZrDqyEyqf41lGVh05e7G11frHzLJnzx7TGZWjN5LJpKk8clbjSrCqyQon5zr29/ebxV9zcnLSPM7nOROS69Pw+w0EAuYcJhv5cHHbLQPv2NiYea+MjAyzbgffh1t36ejRo+Zsp4iIyC3h9lM2tQlOA3MDVjhsRXL4Alz9dVZwbLbPMDIsagvqmkm4MxHxFaDPXYtTyXtwNVKNqZj1mIb0b2kZXjfysryo2paDI5WF2FGwtn079Llzc3NMYGTYY/hj8xpWGA8dOoR7770X+/fvNyGSQY3Brb293YzXYJWR4ZC37J7K+wyaK218wyDHYHf16lW8+eabpspZX19vft2ZmZlrMx/ZdOfTMCwyGHIcyNtvv433338f586dMyNCWCmdnZ1FRUUFiouLU6+4NfqDKyIiK2LOKlqLZxXHmoD+M0DXu3AN1APzVnhkUDRNbeyal6yNiDcfC7m70OXdj1Ph3egIF5kh/Umod8NWpsAoK+GYHzexosggxv8AGRIZFh9++GE89NBDphPq7t27zbZVhqzDhw+bzqisLLIC2NLSgq6uLiwuLqbe7fawSsmtsKxgMuixysgwymohH2do5HN8nNVOVkBvxPfg4+z6ymv5vbHKyO+VYZPPM/zyPfm1iIjImuL5QzMqwwqKHI3B84mDVljkecXhC9ZjbcDSpHVNyL5W1ogbSbcXi+58dLpq0JqsxXC0AP6Y13RGFRG5XY6pMC6HVUMGSc5XLCsrM1tQGRbvu+8+HDhwAAUFBabCyO2eDHbp8Rq3g0GOi9VLVhZHRkbMT1CefvppPPbYYyasdnd3myDIUMtwy+2kN25NZQhkOOzp6TGVRf5E5sEHHzTvc+zYsWsB+ODBg6iqqjJNfG6HftIjIiK3hVXD0Lzd8ZRnFHv/025ww1EZHMCfiKYulLWUdHusT3UZGHTtxHvRe3Emsgsj0TyE1OhGLKowyko4dkM7zy0yMDJQcdsmwxVD1gMPPGAC3KOPPnqt8sgwyVDJcHm7WBXkNlJuFeUfCgZQBlT+Olwc58GAysri+Pg4JiYmzDU34mOsQHI7Km9p7969JiimK6YMkKyifta2VhERkVXDqiIrh9PddlWxr85ap+0ZiwyPi2N2VVHWRdSViXnfdoy4K9EeK0NPuAiLiU/vlyAicjO23AlohkieUywpKTEh7qmnnsJzzz2HL37xiyY43i4GPTa2YQWR779t2zazGET5NW/T4TTdyIYB80Y8A8nqIgMjq50Mi9u3bzcjQViN5FlNhmCNBxERkTWTTNpVxfEWoPs9oPFnQOurdgdUdkZVUFx3QXceBjMOoNdak8kCLMbd2ooqIqtiywVGVh5vbJDDbaoMZiup2PFc4fz8vAl8DIjccsqQx/vpkMdtqUVFReasZPp8441YgUxXFxkQGXC5vbW5uRlXrlwxt/yaZyL5a4qIiNwRPH/I7acBKxBOddpD+AfOAv3WGjxvh0XOXIwGdFZxHSVdbiQ8WZj3FKM1WY3meBWmY3mIJdxWzldgFJGVU4/lVZLeksoQyJDIsHh9BZDhLx0geQ2vXa7pDUMgwyArlQyfbMrzxhtv4Mc//jF+9KMf4fnnn8dHH31kzkOutEmPiIjIJ+IojLD17wy3oHb8Cmh80bp9Cxi5aIXIaTskKiiuu6Q7A/HMbZjw7EB9oBzn/cWYid3+ERsRkRs5KjCmG8+sBzarYdhjCGQ45HlIVgfT0g14GCJ5Da9drsspH2OVkWGQodHv95smOOyKytfwjCSrjFzpKuWndUvla7kFtq+vz4zj4IFjrra2NvNefN/1+t9MREQ2oHRVcabXPqvImYo8qzh8Dphst2crqqq4YYRc2RjzVqDXVY3uaDGGI9kIqtGNiKwixwRGhh4GMa7NHIDSoZehkUGP4fPJJ5/En/7pn+LP/uzPTOMbNs25cOGCOQf5WVtTGTg7OjrwwQcfmOrkiRMnzHrllVdMR9dPGu8hIiJbFKuKHJfR+2ug8STQ/DIwdhVYnLLCpM4qbjTzyENDch8asBeziXzrMwQf1VZUEVk9jgmMDEacc8jF+9zyye2cXMs1l1lt11cQ09XA6yt/11cgec2NFcg0PsaQyJEbvIZnIdkRld1d2YaYZy15DpPVQVYYWYX8tMAoIiLyqcxZRevfkeCcvf10JHVWcYAdUOvts4qL40DUCpLcpiobQsLtQ8RXgGnvDnNusTVaBn+So7YUFkVkdTkmMHKUBc/6cfE+O5byrB8X799pDIFspJM+o8jzh9dX7hgi+Vj6jCOvvf6MYxof41lHdnGtqakx40DSnVazs7NNgKyoqDAdWBmEZ2ZmzLbTT8LXcubk5z73OXzrW9/C8ePHzfrqV79quraq26qIyBaXsP6tigSA2T6g812g+SWg7Q0rMJ6zq4oMidp+uuHEPNkI5FRjPLMWHZFS9ARy4Y/r33MRWX2OqzA2NTWZrZpcV69eRUNDAwYHB01o/LTFDqcrqdSlq4EMe9zmme6YyoDI4MjHOHuRFUF2Y2WHVobAG/ExPsdRGgyIDHOsOt64WGVMb1/9tC24rFQyfO7atQv33HOPqVJyHTp0yIROVjP5XiIissWkq4qz/cDoFaD/jBUST9lBcaIVWBi2q4oKixsOO6MuufLQ7a5Ge7IGQ9FCzEZ9pjOqiMhqc8zfLAxN3PbJM32cY9ja2mrO6LHZC8/w8etPWyvdupoOegyNDIms/HHbKIMsv+Ytvx+ePywuLkZ1dbUJhDdi5ZHPcQQHX8Prg8GgCZ2sUvJ7ZPBkIE1XHBlWRUREbklkCZjpsZva8Kxi00t2kxs/B/AHUxfJRsOwCLcX0yjAmVAt6qw1lfjtzxMiIqvFMYGR4YnbNxnG2CwmHc4405ABMn2+8ZPWJw3Sv1npraSs2nHLKAMkf91z586hvr4eLS0tJuTxcQ7vT89j5ExFrnTH0/TzXAyPrFLy++P7cHV2dprgWFBQYH6vfB9WEUVERD4Vd6Nwe2lowd5+OnoVGKi3zyrydrwRWBixgqRfZxU3sJg7E4u+Uox6KtAWLUdXeBsWE/ocICJ3jufvLKn7mxorcNxeyeDIkMVtqKwacisoz+mlu44ut1gN5Gt5ZpAh7Hakt3UyzKVvWblkWLx06ZKpdPJ7O3jwIO677z4TBhlqGSoZGBlWed6QoZMVQ76eAZPfH9+HYZHvMzQ0ZLa0ckvpvffei507d35iA51Pw3OeHK9B3KLK9xEREQdLxoFoCJgfsMdk9H4I9Fu34032AP5Y2LpG2083uqCvCOM5h9DqOYTz4SoMRPIRTbiQVLMb+RQZXjfysryo2paDI5WF2FHw28ei7iR97tzcHFNhZMWNIYrn9Bj8ysvLzdZOVh1ZreOZwE9a6a2kK93aydDI9zl8+DCOHDli3psVQ1Yf+TjDIp/j4wyxy4U8XsvneO6QzWr27dtngiTfm9fzffj7vPvuu822VTWtERGRT8Wziqwqzg3aVcX+s1ZgrIPphDrebAVI63FuT1VY3NC4FTXpycCCuwityRrTGXUylodw3I1EUmFRRO4cV/LTOqZsIqzIcUsnK3WsMHKL6ZUrV8xzrOgxNH4aVvwYHHm7EmycwzOHPEvJyiXvE7eNsjLIYMvQxwDIM4rpDqd8Pt0Nlfh7YYWR13Dr6o3XcfG90tffKv6Uh/MYiV1T+dMeERFxIBMWB+xKIsdkjLfaw/eDs9Y/WlZQ1PbTTYFhMeHLQ7PrIH4Wewr10b0Yi2ZhKe5NXSHyyXIzvSgvzMKx3SX45iM1OFJZkHpmbehz5+bmmMB4I27lZLMbBi9WG7kdlNtS01tGuQWV1TkGxHRQ20rdQvUHV0TEofjPOquF0YAVCmfsyuJkOzB2BRg4b3/NAfwKiptKyFuIuawqnEsexr8vPYwrkUrE+H+1qotyExQYZSUcsyX1Rqzmccg9t3/yPOOHH36IV199FSdPnjSL9/kYzweykscOqw7NziIispUwLMYjdgOb3o+A1leB5p8D3b+2HhtKhUVtP91s/K48tHoOoMW9HzPJfIVFEVkzjg2MrCRyayq7j7KxDBe7pnIOIhdHU7DpTFtbm+lCylC5ki6pIiIi64oVw7Dfnp841mCfUeTIDJ5ZHGsE5vrs501lUYFxs0i4fIh58zDjKUVLvAotsQrMJ7IVFkVkzTg2MHJL6tmzZ00VkVtTeQZwz549ePjhh83avXu3eYxjKnjNmTNnzGtEREQ2pWjQripyliJnKja+YIfGuX57e6psSglPJsI55ZjwVaEptB2ti/mY17lFEVlDjg2MbBTDoMjRGjyrWFtbe61LKRfv8zGeXUwP9+drRERENofUWUV2OGWnU3Y8HTxnj8roPwOMNthhMTRnb1GVTSdpfUwLuHLR76pCB2rRHy3EVDQD0YRjP76JyAbk2L9x2OyG21HpkUcewbPPPmtGbrCyyMX7v/d7v2eqjZQenC8iIrIp8Nw9R2b4x+yA2PYa0PQi0PVOqqqoURmbGcMi3G5MIx/nontxProb04m81LMiImvHsYGRg/w50oKNbDguo7Ky0txu27bNLN7njEY2xeE1vJavERER2dB4BpFVxYXRVFWxHhiwAiO3n7KqONMLhObt6xQYN62424egrwQTngq0xMrRHi7BYiIj9ayIyNpx9J4Gjslg8xtuNeU8Q85ITOPjfIyLQXErjdQQEZFNLBYG/ONWOLwCNL8ENLwA9H0ETHdbQVJHK5wi4snFdPZujGTtxWB8GyYiPoS1FVVE1oFj/+bh3EVWFTljkR1Sz507h0uXLplh/lycB8PH2CmV1/BavkZERGRjSZ9VDNhNbSZaf3NWsY9nFS8Bs/32zEWdVdz0ki43km4v/O4CdKAGLYkajMXyEYh7EFdnVBFZB44NjMXFxXjooYfMtlMGw3/5l3+5tn784x9fu3/+/HlUV1ebs4x8jYiIyIbCs4qJOLA0CQxdANretM8qtr9lBUVWFa0gqSH8zsHA6M3BlKsYdYFK1C1WYCaWlXpSRGTtOTYwcnD/gQMHcNddd5kg6PF4zBgNbk/lfEY2uOFjfO7QoUPmWlYaRURENgSGRI7KWBy3q4oMiwN19nnFkSvATBcQTHVA1VlFx4i4szHrK8Oguwrt0e3oC+dhKaExGiKyfhy9JbWiosJUGb/97W/jr/7qr/DHf/zH+IM/+AOznnvuOXz3u9/Ft771LRw9etRcy/EbIiIiGwKD4NIUMNYMNP8CaPgZ0P0BMNUGhOdTF4nTLLny0O07gE7vfswkC825Rf04QETWk2MDo9frvXY28b777jOjNR588EHcf//9ZvE+H7v33nvNNaxI8jUiIiLrhttPWVX0jwKT7XZVsY9zFevsgfwz3UBgWmcVHYhnF+PeHMx5itGcqEZLvBIziWxzbjGps4siso4cGxjT2P2UW09ZceT207KyMrN4n4/xOXVIFRGRdcewyK2lgRlg5CrQ8RbQcBJofwOY7rCrijqr6FgJTxaiWaWY8FbgUqAMl/1FmIv5Us+KiKwfxwdGYiBk9ZABkZVELt7nYwqLIiKyrsxZxZDd1Gaiza4qsqLIYfwj1v0pKyymq4o6q+hISWsFXTkYcleiCzXojRZhPJKFcMJjXyAiso62RGAUERHZsOJReyQGG9u0/tKuKna/b33dBIQWrAsUEp2MYZEfx2aTebgY34eLiX3mvojIRqHAKCIisuasmBALAYsTwHSnfT7RVBVPAyMX7cdYceQ14mgJdybCGUWY8JSjJb4TbeHt8CcyU8+KiKw/BUYREZE1xbOK1uJIjLEmoOs9u6rI6uJkq/X4rJrabCFRTzYWcmoxkbUbfbFiDIczzZB+EZGNwvGBkbMXZ2dnMTo6isHBQYyNjSEUCiGRSJjngsGgmc0YCAQQj8dTrxIREVllPH8YCwNL01Yw7DBVxSRnKpoOqDyr2G4/x6qizipuAW7TGXXRnY9OVw1ak7UYjhbAH/OazqgiIhuFowNjMpk0YbC7uxuXLl3C6dOncfXqVczNzSEWi5kB/jMzMyZETk1NmWH+IiIidwTPKoYXrGDYCbS/bqqKrs63gdGrQGAWSDAkKihuFSYTerIwlSxCXaAapwM7MR3Ptp8UEdlAHBsYWTEcGhpCZ2enWS0tLSY0trW1we/3mzDJiiLDY3t7Ozo6OszjIiIiq8pUFaeAmZ7fnFXsS1cVO4DFMeuagHWhwuJWEnNnY963AyOenWiPlqEnXITFhOZBi8jG49jAyMrh2bNn8cEHH5iQ2NfXZ257enpMZdHtdsPn82FhYQHnzp0z1/I1IiIiq4ZnFVlV5LiM7g+Aqz8DWl4Bxps0gH+LC7hzMZi1D72ZBzCJAizG3dqKKiIbkmMDI6uFrBwyKHLeImcvsuo4Pz+PaDR6LTByayorkTzfyOdFRERWhOcPGQQDs0hOdwPDV4CBs3ZlkTMWJ5qBpQkgav2bo0H8Ww7PLXJI/7xnG1oTNWiJV2E6nodYwo2kAqOIbECODYw8j8hziWxu88ADD+Cxxx7Djh074PF4zLB+BsbMzExkZGSY67k9ldtURUREVoQhMLxktqC6Ot4Cml4AOt60guN5K0RO2oFSTW22rKQ7A/HMbWaMRn2gHOcWSjAT9aWeFRHZeBwbGBkAWTFkCCwvL0dVVRVyc3NNUEzjc+klIiKyIqaqOGMFxT5ghGcVTwN9p4DBc/a4DP+oXVVUWNzSQq5sjHl3otdVje5oMYYj2QgmNEZDRDYuxwZGYjhMB8QbQyEDJcdrpEdsiIiIrEh4EZjqAno/AhpPAs0vA2NX7e2nbHwjYplHHhqS+9CIfZhL5FufT/iotqKKyMbl2MCYlZVltqDm5ORgZGTEjNbg+UWO2eDX7Ip6+fJl9Pb2mmtYheRrREREboo5qxgFQvN2B9TRK8Ag5yqeBgbqgfFmu6oYWdJZRUHC7UPUV4AZ7w5zbrE1WoaFJD93KCyKyMbm2MCYn5+Pu+66C6Wlpbhw4QLeffddDAwMmAH+/Pr111/HT3/6U9TV1WH79u245557UFhYmHq1iIjIZ0jEgWgQmO0HOt8Fml4C2l63QqMVFllVZEjU9lNJiXuysZRTjfHMWrRHStAdyMFiXFtRRWTjc3RgPHDgAPbu3Wu6oXJLalFRkemWylEak5OT5oxjdna2ue7gwYPmNSIiIp+KVcXgHDA3AIxcAfrPAAOn7bOKEy3AwpBdVVRYlBR2Rl105aHHXY22ZA2GooWYjfoQTTj6ZJCIOIRj/6Zig5s9e/bg6NGjePrpp/HMM8/gqaeeMh1Tuf20trYWzz77LL7yla/gkUcewa5du8xrREREPhXD4EyvPSaj6aS1XgSGLqaa2gRTF4nYGBbh9mI6WYCzoVrUW2s6kZ16VkRk43MlHdgilL8lzmEcHh424zVYVeQtt6PyDCOfZzWxoqLCbFnlVtStdn7x4sWLOHHihLl//PhxE6xFRGQZ/GcyGbeCYgAIztiVxfEWu6HNoBUU5weBeMi6RhXFtcYPMFF3Jhbd2xByZSIONxLJjfWz8IQVGGMuH9qSu/B64hiuxmowF/MiFFd1UdZObqYX5YVZOLa7BN98pAZHKgtSz6wNfe7c3BwXGPnb4Wpra8MvfvEL0wH1y1/+sqk2BoNBM6ifOMyf21E5h5FbVjmfcSvRH1wRkZvEs4jscsqzikPn7aA43mYFRSs4cmtqlNtPzYXmclkb9ocXN2Z8O9CVfS8mPDsRSHgRSW6sf88jVoANJH0YiBbicmgnhmP5iCRcVrBVsxtZOwqMshKODYzp/zAZGP/qr/7K/IfJkHj9HMatTH9wRUQ+A88qcospq4oLI8CEFRIHz1phsQmYGwLC86kLZT3E2XXUm49+726c8h5Dt7vWBMaNdi4wagXGJev7mo5kYDicgcWYN/WMyNpRYJSVcOyW1IaGBvzbv/0bIpEI/viP/xj33XefOaPIiqLoD66IyGcKLdjbTTkewwRFDt+3gmNg1q4qalTGugr7irCQuwtXcBAvB+5Fc6Qc8aQLiQ02piJhfcriVtlwwoVg3GO+R5G1psAoK+HIcpvL5TKVRFYUl5aW0NTUhDNnzuDSpUu4evUqGhsbf2txHiOvFRGRLYo/P+WoDA7gN+cUG+15ipyryE6o3Io6n6osKiyuK9N11J2PLlcNmhK70BUuxmAoGyPhLIyFMzfUmohkYjriM5VFhUUR2Ywcuz+TW1FZXWQQfPnll/GDH/wA/+///T9TdfzJT36C//iP//jYeu+99zAxMZF6tYiIbDlmEH/E3n7adwpofRVo/jnQ84EVFIftc4xqbLPuTNdRTwamkoWoC1RbqxLT8a3VuE5EZC05NjBmZmaagfzsgsqKI2cucv7i/Py8WXNzcx9b7J6abogjIiJbCKuFrCoyKI412YP3++qAfut2rAGY7ftNVVGBcd3F3NlY8O3AsGcn2qJl6A4XYTHhSz0rIiKrzbGBkUP6OXPxi1/8Ir7+9a/jueeewxe+8AU8+eSTeOKJJ/DYY499bN19990oKFjb/dwiIrIBRENI8mzi8CWg8UWg4SQwYAXG2V7ruUDqItkogu5cDGYdQF/mAUyiEItxN2La6ikicsc4NjBy9uL+/fvx0EMP4fHHHzeLB2zZ/Oaee+75rcWxGxrcLyKyFSTtSiEH8PNM4kQzXDyrOHDKWmeA0avAXD8QmrO3qMqGwK2oCU8W5j3b0JaoQUu8GlPxXNMVNanAKCJyxzg2MHIQf1lZGWpra29q8dqtNrxfRGRLYnMbjszwj9tNbdpeA5peBjrfs4OimauoracbTdKdgXhmISbcO3AuUI7z/hLMxNT5XETkTnNsYCSeXQyHwxgZGUFnZydaWlpMR1SO3GC31PRSl1QRkS2AZxBZVfSPAuMt9lnFAXZAPQuMXgFmuu2qos4qbkghVzbGPTvR665BZ7QYQ+FsM3dRRETuLEfOYSSGv8nJSXR0dKC+vh7d3d2m2U0wGDQdVLn4W2eo5PiN+++/H3/6p39qtqduBZqHIyJbDsPi4oQ9gJ9BccwKjQuD1j8YU9Zzi9p+usGNeqtxOfsx1Cfvwof+neiL5FsfYlJPisin0hxGWQnHVhjZ9ZRhsa2tDdPT05iamkJrayva29tNt1RWHvk4q4/9/f0YHR01YVJERByEPxONBOwOqAyKg+fss4qcqzh62e6AGpxRWNzAEm4for4CzHi2oyVehZZoGRYSWQqLIiJrxLGBkWEwXVk8cuQIfu/3fs80tmEF8S/+4i/wt3/7t/j2t7+N3//938fv/M7v4NChQ+qSKiLiJOlB/IEpYOgi0P4m0PSidfsWMNNjVxU1gH/Di3uyEcipxERmLdojJegO5GIx7kk9KyIid5pjAyOrhUNDQ2YbanV1tQmEJSUl2LFjhxm38fTTT5vF+3wsIyMDbrejj3SKiGwNDInRILA4Dky0AoMXgP46YOAsMHIZmO7+TVVRZxU3NHZGXXLlosdVgzbUYDBaiNmoz3RGFRGRteH4v3F9Ph/y8/PN4lnF9LlFfs2xG1VVVSZUDg8Pa0uqiIgTMAiyqjjeDLS8AjT8DOj9AJhsAUJ+6wKFxM2AYRFuL6aThTgTrsVZa00nclLPiojIWnFsYGQoZMWQIZHVQ47MyMmx/6GZmJgwZxd5zjEUCpnAyHON0WjUPC8iIpsMt59GQ4B/zAqGHfYW1D52QLXWyCV7C2pg2gqT1jWyKcTdmVjylWLUU4G2WAU6wtuwmNAYDRGRtebowMiw6PF4TFWR97dt22Ye51iN999/H6dPn0Zzc7MJjCIiskkxLHJrKbeZcuh+59tAw0mg/XVgqh0IL9hVR9lUQu5cTGTvwXDWPowmCjEX9SGS0IB+EZG15tjAmJubi127dpmh/Kws8uv0FlRWFvv6+kxDnLm5OZSXl5treY2IiGwSyTgQCwFLk8CkFQyHLgADPKt4Bhi+aIXFDruqyGt0VnHT4FbUpCcDC55CtCVr0ZyoxkQsD6G4G4mkAqOIyFpzbGAsLS3Fk08+aRab3RQXF+PRRx/FY489hrKyMnMNzywyJPKaz3/+89i+fbt5XERENoF41PqLfNYKi21A6y/tqmLXe8BYoz2AXyFxc3J7kfDlYcpVgrrATtT5yzAdy0o9KSIia82xgTEvL89UFLk4LoPBkNXGgwcPYt++fdi9e7fpnspRG/fee695nI1wRERkI0vaFUMO4J/qAoYu2R1QeVZx+IL1WCewZD3Ha2RTCruyMeUtR7+7Gh3RUgyEcxFIaIyGiMh6cWxg5JlFhkSGwMzMTNMtlc1vWEXkKA1WFJ999lk8/vjjJkjyOl4jIiIbFc8qWis4Z3dA7XrX7oDa8qo9PoPVRp1V3PT8rjy0e/ajzXMAs8kCxJIu6/92bUUVEVkvjg2MiUTCdD2dnZ1FV1cXrl69ikuXLqGpqQkDAwMYHx/H5OSkGafR1tZmzjPybKOIiGww3FoaC9vnEVlBHL4MDJ5JnVVkVbEdWJrSWcVNLuHyIebNw6ynFM2JGrTEKjCXyFZYFBFZZ64kW4g60NLSkhmfwSB45coVExIZCCORiAmTN7rrrrvw3HPP4fDhw6lHnO3ixYs4ceKEuX/8+HEcPXrU3BcR2XAYFtnplAP3+62QON5g3e+xR2jwcY7T0GzFTY9hMZxTjss4iJ8GH8X5cA38MS/CGtIvsmK5mV6UF2bh2O4SfPORGhypLEg9szb0uXNzc+zfwpyr2NraisbGRlNF5OgMzlxkYGTl8cYVj8fN+A0REdkgGBRZOeQMRVYV+1JnFQfP2x1QF63AGA1YFyosbnZJ6+NIwJ2DAXcVOlCD/kghpiIZCosiIhuAY/8mnp6eNnMWGRjZFfWZZ57Bn/zJn+C73/0u/vt//++/tb785S9j586dqVeLiMi64g/wWD3kuIyeD4HGk0DLL4DxptQAfp1VdAqGRbjdmEkW4Hx0N85HdmM6kZd6VkRE1ptjAyNHZoyMjJjKIoMgG908/PDDZrQG17Fjxz62uCVVXVJFRNYRzx+mRmUkuf105AowcNbugjp4zgqPrcDiuF1VTMRSL5LNLuH2IejbhglPGVqiFeiIlGAxkZF6VkRE1ptjA6Pb7TZdTwsLC834jJqaGmzbts10TuUg/+zs7I8tdlL1eNS2W0Rk3STiQGQJmOmFq+MtoOlFoP0NeyA/h/MzJKqpjeNEPLmYzd6N0ax9GIxvw3g4AyFtRRUR2TAc8zcyzyCyquj3+83iuUTOYmRADIfDptIYCATMNTzLeOPi9cs1wxERkTuM20sDs0jO9gIjnKt4+jdnFVlV9A/bVUWFRUdJutxIur3wuwvQgVq0JGowGivAUtyDuDqjiohsGI4JjGxmw3OLo6OjZjEcFhcXm8ohR2nwPGN7e7tpgMOtqunr0ouv5XuIiMgaCy8B011w9Z4Crp4Emn4OjF6xm9qw8Y04EwOjNwdT2Ia6YBXOLJZjJp6VelJERDYKxwRGjsxIz1vk4jgNhkau9GiN61f6uvTiazWHUURkDbChDbeXhubN9lMTDjlTcSB1VpFD+f2j9vZUnVV0rKgrE7O+HRj0VKE9uh09kQIsxr2pZ0VEZKNwTGCcmZnB+fPn8dZbb5l16tQpdHR0mIoiFwPhmTNn8O677+Kdd965dh3X22+/jQsXLpj3EBGROywZt9JCEJgdALreA5pfBtpes2csLo1ZITGi7adbwJI7H72+/eiy1nQiH6G4WwNSREQ2IMcERjasYTMbdjrl4nZUNrvZs2cP9u7da5relJaWoqCg4No16cWzjmx8o6Y3IiJ3kOmAOm8HRdMB1QqIfaes23PARAuwMGRXFRUWHY1nF+PeHMx5StCaqEFLvBIziVxzbjGps4siIhuOK+mQafXcTjo2Nnbb20oZGsvLy83tVnDx4kWcOHHC3D9+/DiOHj1q7ouI3DEmLPbZsxSHzlq3bYB/HAjN2BVHbT/dEhgWY1kluIID+Gn4cZyL7MJclJ1R9UNbkTslN9OL8sIsHNtdgm8+UoMjlQWpZ9aGPndubo6pMLK5zY4dO7Br1y7s378fhw8fxr333ov777/frEOHDplAyK6pLpfLdETl6A1WGGtra00FkhXKlWK31YWFBbMNtrGxEefOnUN9fT0uX75stsWOj4+brqw3i91feQ6TjXr4h43bbvv6+jA3N2d+LRGRDcucVYxbgdBvB8WxBmCwHhhgF1QGRis4sgNq2HpeYXFL4E+og64sDHsq0eOqQU90G0YjWQqLIiIbmOfvLKn7m9rS0hIGBwdNt9N0GPR6vde2mU5NTZnmNmfPnsWvf/1rE+La2trM9QyRXNdff7v4fTAs8td68803zZlJ/lrs0MozkvzeOBvyZiuZDJf83hk4/+M//sMEUAberKwsE3B5ezvYGZYBlPhTnp07d5r7IiKrhltL2eV0btAevt/7ob0FdcwKipyryOfMOCNHbHSRz2D/v+zGpHsHznvuw/nkfnSFS+CPa0i/yJ2W4XUjL8uLqm05OFJZiB0Fmaln1oY+d25ujqkwsqrHAMjFmYvpmYrpit/Q0JCp+HHEBqt8rNBNTExgYGAAra2tppPqSrukcncvfy2+H38dBj3OgIzFYuZxhkY+x8cZBFk9/DR8v+u7vzY0NJjfH38vqjCKyIYVZwfUBWB+yPqUcBUYOGt3QB2ot6uKc/3XVRV1XnGrSLh9CGcUYMpbZs4ttofLsJBY2w+tIiJy6xwTGBmgLl26ZIIVh/Oz8sYqI++z8sigxRDHMHnffffh2WefxQMPPGCqdByzwQ6qrDbeLoY7LoZBVjF7e3vx4IMP4jvf+Q7++q//2vx6DI/pWZCfFfjS78fviT+RaW5uNo15+BMZ3oqIbFgcss+wOHgBaHzJWi/YYXF+wG5qI1tSzJMLf84ujGXtRk+0GP2hLAQTjvkYIiLiWI75m5oVOza9YfWQ1UWfz2cCI8//MTByMTxyOyjPM7IczjOOPPc4OTlpAh63k96u9FnD2dlZU3ZnOGSH1kcffdSsu+66y3Ro5ffJ75HVTV7zSfgcvy/+nvierFLy9ez+mpGh7TsisoEkU2cVw4v29lNWETlPkWcVWVkcu2KFRetxzl3UWcUtiZ1RF9156HLVoC1Zi+FoIfwxL2IKjCIiG57j/qbm+T6eReTifYa4/v5+c36wsrISd999t2lyw3XkyBEzcoPXMsilt7HejnTAY+WQDXi2bdtmFpvq8Gve7t69G2VlZaZqyK2w/N4+id/vN9tX+b3zfRg+S0pKTOVU4z9EZEPhWcV4FEkO2++3QmLLL+3Zit3v25VGnlXUqIwti2ERngxMJYtwJliNukAlpuO3d/5eRETWniN/tMetnGkMZTzzx8DIaiKDF+cxFhUVma8ZxhgsuT10JYGRr+d2V1YpGRBZyWQjHd5nwGPQ46/HX5fnEtPnG2/E74HvxapiZ2enqUYyZO7bt8+8Nh2ERUTWHauFrCr6R0xV0cUOqAyMvB27Csz2Ws+nqooKjFtWzJ2JBd8OjHh2oi1ahu6w9e9gwpd6VkRENjrHBUYGLm7fTAdAbkPlSApW/hi4KioqPnYGkOGS20m5rg+atyq9JZUhkCGRYfH6SiCDXjpA8hpeu1zTm/T7MFD29PSYoMuRH9xGyyqliMiGEQ3ZVcXhK/ZZxYaTdjfU2W4g8sk7KGRrCbrzMZS1D32ZBzCR5FZUN2Ia0C8ismk4JjDyXN/27dtNJY8dTzl+gjML2eyG1TqeZ+TzrNYxtDGYMUxyKyox3K2kcpeuDPJ9GQ7TZyjTeJ+P8dfhNZ9U0WSFknMWeeaSeGaR3zOrovy+b1UkEjFbYPme7BLLBjpc6f9dGK5XEpRFZCux/q5gpZCNa7jVdKIVLp5V5KgMnlVkR9TZASshzAHxSOo1slVxK2rCk4V5zza0JWrREq/CdDwX0YTb+ndHgVFEZLNwTGBkQxgO62cV8cMPP8QPfvADnDhxAr/61a9MxY7bQVld5DlABq90kOI2UoY4dku9viK4XlhRZNjldlRun2VzHobG2w2zPAvZ0dGBDz74AM8//7z534TrlVdeMY1+bma8h4iIYZrbxIDFCbupTftrQNNLQNe79mB+VhWTamojtqQ7A/HMQky4t6M+UI5z/lJMx9S0TURks3FUYDx48CAOHDhgwh8reAyKrOrxsXvuucdU6tLBML11lZVJNqNhOLvZYfrLub6CeP2W2LTrK5C85sYKZBrPNzIsMuQx0HJrKkdqcFwIG+WwAyuDHhc7qDLw8n1FRO4YdkBlGPSPAeMtqQ6odUD/GWDkKjDTBYTmrOsidgVSxBJyZWPcsxN9rhp0RkswFM5GIOFNPSsiIpuF5+8sqfubGkMYz/hx22l1dfW18Mig+Mgjj5jb8vLyayMpGOAY3vh1uhlOVVXVbc84ZMWS20lZIeT2T34/7MjK9yaeoeSZRIZAYqWTvyYrotdjKPzoo49MSOS8Rs5tvHz5stley8fYwIePM1gy/KYXt+Iuh9tj+b8L5zfyf4/777/fVC25xZUNdXiukv/78HkRkWVFQ3ZVcbwZ6Hwb6PkAGGuyR2VE/FZI1C4F+W3T7u246rsXF3EQbeFSzMYz4dIJCJF1keF1Iy/Li6ptOThSWYgdBbd+zGklWPDgkSji51B97txcHHWGkVs3d+3aZUIRQ9BDDz1khufza47PuL6CyEDHcMiAySDF5xmebhcrhunOqNzmme6YygY3DKZ8jLMXGRz5fXzSmUS+nr8HdkXl95auiN4u/u/CcMr3ZGjmH1IuNtFhh1h1XRWRZXH7aTQILIwAk23AEM8qnrab2oxcAmZ7gOCMzirKb0m4fYj6CjDt2Y7meDVao+VYSGQpLIqIbFKOCYxpDFcMWazcsbqXPrN4YyhKB0ZW39JBj+HpdvHXYAjkezEkstLIpjI8Q8ivecttpKzqMdiyCrpcNZNVzueeew5/8zd/g7/927+9tr7zne/giSeeMAH4mWeewe/+7u/igQceMB1U+fsVEVk1DIusGi5NAcOXkGx/E2h8EeiwbmfYAXXRSgU6qyjLi3uyEcjZiYnMWrRHStAVyMViXPODRUQ2K8cFxvRZQm7RZAhkKFuuQpe+jkGPi5W45c4U3iz+Gvz1WLVjcx2+J7egsoFNfX09WlpaTNWRj/MsJQMtt5Vy5AdXei5junnPsWPHPrbuu+8+Ew753jxzycUttgyo/H2IiKwYzyqyqrg0AUywqnjBnFV0DfCs4iVg2gqL6aqizirKMtgZdcmVix5XDdpRg8FoIWajPtMZVURENif9Db5KWMHkYpXx0UcfNYGOe7V//OMf44c//CHefvttE0q5/bWystIETFYcL1y4YBbPKrIKKSKybhgEA9PmrGKy5RV7rmL3f9rhMcy/nxQS5ZMxLMLtxXSyAGfDu6xVi+mEdsCIiGx2CoyriIGRFT9WCI8cOWLOILKiyHDIx9mIh8/xcVZAb6WiyW2nrDDyrCUPCrNCqcqiiKyYOasYsjugTnUAQxeBvjq4+k8DIxeAmR4rRE4CMXtmrcgnibszseQrxpinAm2xCnSEt2ExoTEaIiKbnSupqe2riiMugsEgFhYWzDlG3idWF9nshltOGR4ZLllRZHfV9PM8T8mAuRyOCOG2Vb4/t9kyQHIL7O2GRlY/OY+Rjh8/bhrhiMgWY84qJoDFcWC8CRhtsNZlKzh22+cX2QFV20/lJi35SjGedwjnk4fwov8wmkI7EEm4kNCQfpF1l5vpRXlhFo7tLsE3H6nBkcqC1DNrQ587NzfHVxg5E5HdStmAhl1KGeIY0piT+Rzvs4Mpb6+fm3i7GOAYCtm85t577zXbU7nYoGb//v3m/CKriwyG3L7KaiHXJ3VNTVOFUURWDRvasGIYsELhZLtdVew/a89V5P0p67F0VVFhUT4Dt6JySP+CuxBtyRq0JGowEctDKO5WWBQRcQDHB0Y2kmFn0u7ubjQ1NZmh+Gw2kx51wftsRsNqHwOkiIjjxaNAcM4+m9j2GtB0Euh6BxhvsB6fVUiUW+PyIpGRi0lXKeoClajzl2E6trYz3kRE5M5xbGBkGBwbGzNBsbW1FVevXjXNZdra2sx2UVYTub2TlceOjg4TJNV0RkQcLRaGGcA/1WXGZZiZin3WMlXFDvs5nVWUWxR2Z2LKW4F+dxU6oqXoD+cikLj9MVUiIrKxODYwckA+Q+KHH36Ijz76CKdOnTKroaHBVBSJoZHVx1//+tfmGp4RFBFxJJ5XNFXFFqD7faDxZ0DrL4HJZrszqgbwy23yuwrQ7tmPNmvNJgoQS7qs/9y0FVVExCkcGxhZLeSoClYYGQw5lJ/VxPS8Qzad4WO839fXZ0Zc8KyjiIhjcGtpjKMyZoCpTmDksn1OkWvwghUWW4HFKZ1VlNuSdPkQ8+ZhzlOClng1WmM7MZ/IUlgUEXEYxwZGdhXt7+83W1Mfe+wx/N7v/Z5pFsOQyHEWHHXBRjJsQJPenroaTW9ERDaMeAwIL9hbUNvfsM8qdr4FjF6yB/Cbv/P0957cnrgnE5GcMkz4qtAQ2oGmxXwsxNWMTUTEaRwbGBkAeVaRzW2qq6tNd1F2L03PPmSFkaGRX7NjKsOiJoyIiCOYquKUPUNxmFXF0/YyVcV2e+ZiNGBdqLAot4f/WgZcORjguUVXDfqjhZiMZiKccOzHChGRLcuxf7MzEDIMcvH+jdJjNbhUWRQRx+APvlhVnOwAej4EGk4CLb8AxhqBpUmdVZQVMz9adbkxk8zHuehunLfWdCLXPCciIs7j2MDIQfjFxcVmyykb2wwODpoRGhykPz09bbarcswGbzn/kNd+2hxEEZENi+cP06MypruBkSuw5yqyA+o5u9ENh/OzqpjQ+CBZmYQ7E0FfMSa8ZWiNVaA9XIrFpP79FBFxKscGxtzcXOzatQv5+fmmMyo7pI6OjprB/Rytwc6oL730Eurq6sxW1QMHDiAvLy/1ahGRTSQRByJLwEwv0PkO0PiifWZx+DywNGGHRDW1kVUS8eRiLmc3RjP3YSBWjPFIhhnSLyIizuTYv+EZ/hgC9+zZY7afsvkNq408tzgxMYGBgQHTMZVf79u3D4cOHTLBUURk0+D20uAskrN9qQ6onKt4ChiyguJkC7AwbFcVFRZlFSRdbiTdXvjdBWhHLVqTNRiN5WMp5kFcnVFFRBzLsYGxsLAQd999Nx555BHce++9OHz4sFmVlZWmIQ7PNh45cgRPPfWU6aJ61113mWqkiMimwaridDdcDImNJ4Hml4HRK8DiqD2kX2Q1MTB6czCFbagLVqNusQIz8ezUkyIi4lSO3kPCZjesKpaXl2P//v144IEHcP/992P37t2ora01gZGLX5eWluoMo4hsbGxow+2loQV7++nIVWDgjLXqrHUOGG8C/CN2kNRZRVllUVcmZr07MOipQnt0O3oiBViMe1PPioiIUzk2MHKkRnNzMzo6OkxwZCh8/PHH8eyzz+ILX/gCnnzySVOB5GzG7Gz9hFRENoFk3PrUHgTmBoCu94GWl4HW1+2tqKwqcouqtp/KHbLkzkdvxj50e/dhOpFvzi3qvzYREedzbGDkmcWxsTH09fWhp6fn2plFPs5ziwyJbIzDW34tIrJhsQNqaN4Oiqwq9rOqeMquKk40AfNDdlVRYVHuAJ5djHuzMOcpRmuiFi3xKswkcs25xaTOLoqIOJ5jAyNnK/Ks4tDQEH71q1/hX//1X/Ev//Iv+NnPfob//M//NNVHNr/hmA0O9xcR2bDYuGa23wqIZ4Gmk9Z6ARi6CCxYQZEVR5E7KOHJQCyzFBPeClwIbsfFxSLMxXypZ0VExOkcGxh5HnHHjh0oKyszHVPZ5CYcDmN2dtaEyPb2dly+fBkXLlwwt93d3WZOo4jIujNnFeNA2G8HxdEGOyz2n7ZWvT2Enx1Q+bzOKsodxCH9QVcORjyV6EE1eqLFGI1kIZTQzhwRka3CsYGxqKgI9913H/7wD/8Qf/7nf46//Mu/xB//8R/j4YcfNttQe3t78frrr5uq4//3//1/eOutt8yAfxGRdcetpexyOm+Fwt4PgdZXgBZr9X4E+K3HeFYxoe2ncmcxLPJjwlyyAJcS+3AxsRdziXy4tA1VRGRLcWxgvL47KjujHj161IzX4DB/nl1cWloyoZFD/S9dumQqjn6/P/VqEZF1wGohq4Y8kziWqiqaDqj1wHgjMNd/XVVRgVHurITbh0hGAaa829ESr0R7pAz+hLqJi4hsNY4NjDdiYxuGSIbF9MrJyYHPZ/2DGImYZjg6yygi64rnEVlV5PnEppeAxheAfis0MihGl1IXiayNmCcX/pxajGftQXe0GIOhLCwltszHBhERSXHs3/w8r8iuqOySygY3V69eNbf9/f2m0Q3PNXLUBucwsvK4d+9e85iIyJq5dlZx0QqFg8BYEzBYDwzwrOIZ6+urVoC0HmeH1LjOKsraYWfURXceulw1aE3WYjhagPmYFzEFRhGRLcexf/Nze2lbWxs++OADvPDCC+acItebb75pQiPD4bFjx/D1r3/dnG/86le/amYyioisGZ5VjEeR9I9ZAbEOaPsl0PRzoOs9KygO2BVHjcqQNcawCE8GppNFqAvWoC5Qhem45hWLiGxVjg2M3GI6OjpqOqKyMyq/5gB/bkVl91RWFzm4/8EHH8RDDz2EgwcPIj8/P/VqEZE7iGcQI4uAfxQYb4bLVBVTZxVZVZzttauKvE6BUdZYzJ0Jv28HRjw70RYtQ3e4CIsJjdEQEdmqHBsYY7GYaWzD8RoMhV/72tdMJZEdU7/0pS+ZbqlsgMNuqjzHKCKyZmIhKyyOASNXgOaXgIYXgL7TwEyPHSRF1lHQnY+hrH3oyziAiWQh/DE3YuqMKiKyZTkmMCaTSdO0hov3MzIysG3bNlRVVeHAgQPmrCLHbLCqyKDIKiOrjWyGwyH/6deJiKw+6+8WVgojAbupzXgrMHgO6D9lb0UdvWw3tgnO2CMzRNYBt6JySP+8ZxtaE7VoTnArai6iCbf176MCo4jIVuWYwMjQF41GzeL9goKCayGRZxM5e5GhkA1vlltsksPXiYisunRzm8UJKyieB9reABpfAjreAWZ6gagVJDWAX9ZZ0u1FIrMIk+7tqA+U45y/FNOxjNSzIiKyVTkmMHL7aU9Pj1m8z+DIs4vDw8Po6Ogw8xYvXLiA+vr6ZVdLSwsWFhZS7yYisgoYEllV9I+bs4oYOmd3QB04Y1cVZ7qA0JxdVdRZRVlnYVcuxj0V6HNXozNagqFwNgIJb+pZERHZqlxJh+zD7O7uxjvvvGPuP/vss6bJzcmTJ80oDTa7oU/6rfJ5blX9xje+YW63gosXL+LEiRPm/vHjx3H06FFzX0RWEcPi0iQw2W4HxTErNHJMBh/jAH5tP5UNZMxbjSs5j+Js4jA+9FeiN5JvfUhIPSkim1puphflhVk4trsE33ykBkcqC1LPrA197tzcHFNhZOjjeUQu3ufyer2moQ1v0/eXW3wu/ToRkRXhD6Y4DoMdUBkUhy4AfaesVQeMXLIb2wSmFRZlw0i4fYj6CjDj3Y7meBVaY2VYSGQpLIqIiOGYCiO3oY6Pj5v7ZWVl5rwiR2rc7DZTnnlkgxzebgX6SY/IHcC/TpNxOyyONlrrqrWu2CFxacrugKpRGbLBMCwGcnbiUvIuPB94CBfDVfDHPabZjYg4gyqMshKO+deAHU/37NljFu+73W4zUmP79u2m+Q2H9C+3+Byv4bV8jYjILeNZRVYVlyaAiTZg6GJqruIZYPgSMNX1mw6oCouygbAz6pIrF72uGrSjBgPRQsxEfQqLIiJyjWP/RWC18a233jIrXXlczs1eJyLyiRgEGQg5LqPlVaDhJND9vhUeW4AwdzkoJMrGw7AItxfTyQKcDe+yVi2mEzmpZ0VERGyOCYzcWZuep8ih/eyQ2traahbv8zGu9OgNLo7SmJqaMo1xeJ26pIrITTNnFUPA4jgw1Wmqisn+0wDX8EVguttubsMh/SIbUNydiSVfKcY8FWiNVaAjvA2LCY3REBGRj3NUYGRYZBBkh9TlZi1ev3jmkQFxfn7e3AYCAfN6EZHPZM4qWis4a59V7HzXVBVdra9Z4bH9N6MyRDawsDsXk9l7MJy1D6OJQsxGfYgk1PxNREQ+zjGBMRKJmGohx2tcuXLFzF0cGRnB6OgoGhsbzazFs2fPfmz24vnz583cRp5dLCwsNB1TRUQ+Ec8fxsJAYMoOhjyfOHjGPq84fMF6rO03VUWdVZQNiltRk+4MLLgL0ZasQUuiBhOxPITibiSSCowiIvJxjgmMfr8f7e3t+OCDD/DTn/4UL7/8Mtra2sxWU97/4Q9/aLoz8Zbrn//5n/Hv//7vJjSWlJTgrrvuQn5+furdRESWEY8CoXkrGHYAba8DTSeBjneAsUa72qiQKJuBy4tkRi6mXMU4E9iJOv8OTMUyU0+KiIh8nGMCI7FSyHmKnKuYk5OD0tJSs3h/uVmM7IzKsHj48GEcOnRoy4zUEJFbxKoiK4c8l8iqImcq9p0GBi9Yj3UCi2M6qyibRtidiSlvOfo91WiPlmIgnIdgwpt6VkRE5OMcM4eRDWx4FjG9BgcH0dTUZJ7j6IwdO3aY+2kc0p8evcHKYnrx661A83BEbhL/imRYnGgFxhrs4fsck7E4YXdA1fZT2WSmfBVozXkY9cnDeHuhBt3hQm1FFXE4zWGUlXBMhTE9c3Hv3r144IEH8Pjjj+PJJ580t/yaVcT9+/ebOY27d+9GbW0tqqurTZDMzs424ZEhUkTEBEA2rQnMWJ+uO4Hhy8DAWaDfWoPn7XEZnLkYDSgsyqaRdPkQ8+Zi1rMdzYlqtMQqMJfIVlgUEZFP5agtqddjtZDnEhkg2f10eHgYHR0dpurIhjg3LjbLWVxcTL1aRLa0RMyuHnILasebQOOL1u1bwMhFK0RO2yFRQVE2mbgnA5HsHZjwVaIhuANNiwVYiKnZm4iIfDrHBkbutOXcRY7N6OrqwqVLl0xn1HPnzpnQyM6pvM/Hrl69ir6+PjNaQ0S2sHRVcabXripypiLPKg6fAybbAf+oqoqyKfHsScCViwF3NTpQg/5oESYjmQgnHPsxQEREVolj/6WYm5szQfD999/HW2+9hTfeeMOsDz/88Nqg/lOnTuGjjz4y1/HMowKjyBYXXoQZl9H7a6DxBaD55/a5xcUpK0yqqY1sTqZRgcuNmWQ+zkf34IK1phO55jkREZHP4tjAyDEbHKvR2dlpZjQS5zTOzs6arqk8u8gOqTz7yGtnZmauXSciW4Q5qxgFgnP29tOR1FnFAXZArbfPKi6OA1ErSHKbqsgmlHBnIuQrxoSnzJxbbI+UYjGhMRoiInJzHBsYl5aW0N/fj1AoZJrf/OEf/iF27dplGt089dRT+MY3voHvfve7+MpXvmKa5USjUSQS2mYmsqUk4kAkAMz2AZ3vAs0vAW1vWIHxnF1VZEjU9lPZ5CKeXMzm7MZY1l4MxosxFs5ASFtRRUTkJjn2X4z0+UWGQHZEPXDgAIqLi82sRYZGdk196KGHzPzFjIwMBINB0xxHRLaAdFVxrh8YvQL0n7FC4ik7KHJ8xsKwXVVUWJRNLOlyI+n2wu/ORwdq0ZqswWgsH0txD+LqjCoiIjfJsYGRIzLSw/rTIzPSYzMYJhkOGRQ5wJ9VSFYkFRhFtojIkt3Ypr8OaDwJNL1kD+T3cwB/MHWRyCbHwOjNwhSKUResQt1iBabjWaknRUREbo5jAyODYm5urjmvmA6PPLPIkMgRGhcuXMCVK1fQ29trzi7ycQZLEXEgDt/n9tLQgr39dPQqMMizilZgHKgHxhuBhRErSPp1VlEcI+rKxJyvHEOeneiIbkdPpBCLcY3REBGRW+PYhMQAWFpaarahEpvb7Nu3D3l5efjggw/wwx/+0Ky3337bnF/kOUZeIyIOlIxbn55DwPwg0P2fQMsvrPUq0HvKripynIa2n4rDLLnz0efbh27fAUwlChCMu6H/ykVE5FY5NjBycD/PLXLxPoMi7+/fvx/Z2dmmqshzi9ySysc55J/XiYiD8Kwiq4pzVlBkVbH/LNDHqqJ1O95sB0hWFRUWxUF4djHuzcK8pxgtiVq0xKrMGA2eW0zq7KKIiNwixwZGbj89duwYHn/8cVRUVJivGQqffvppPPfcc/j2t7+Nr3/96/ijP/ojs5544glTkRQRB4kGrbA4YI/IaHrRnq04dM4Kimxqs5S6SMRZEp4MxDJLMeEtx/ngdlxaLMJcTFtRRUTk9jgmMLJhDSuGnKnIxcY2hYWFKCoqQjKZNM9nZWWZULh3717TJZUdUllxrKmp0ZZUEScwZxXjQNhvd0Dl0H2GRc5VZCfUMZ5VHLKen9dZRXEkDukPuXIw4qlEN2rQEy3GcCQLoYTHvkBEROQWOSYwcovp9PQ0RkdHP3VNTk6aQBkOh02oZIdUvo5Lg/tFNjkziN/6c8wGNr0fAa2vAs0/B7p/bQfFeMgKitp+Ks7EsEizyTxcTuyz1l7MJfLh0jZUERFZAccExsXFRXR1deHq1aufuhobG9Ha2or29nZ0dnaaWz7G1/I9RGQTYrWQVUXOT2RVkWcUOTKDZxZZVZzrs583VUUFRnGmhNuHiK8I055ytMQr0RYpgz+hnTMiIrIyriT3azoAg9+rr75qbm8Vx24cPHgQX/nKV8ztVnDx4kWcOHHC3D9+/DiOHj1q7otsSgyD8yPARAsweAYYt25ZZQxMA9GAXXUUcbiwFRYXc2txMXkQzy89iMuhnVhKuBGzlohsbbmZXpQXZuHY7hJ885EaHKksSD2zNvS5c3NzzL8iHo/HzFxkp9NbXeygys6pfA8R2QyS9vZTDuBnp1N2PL3+rOJog32GMTSnsChbAjujLrnz0OWqQSt2YShagPmYV2FRRERWzDEVRm4nHRsbu+1tpQyN5eXl5nYr0E96ZFMzZxWjVlgcAoYvAmNXrdUEzFohMThjB0leo3EZsgUwLMKTgU73Hrzu/hzOxg+iK1iAmZi2o4qITRVGWQnH/OiRQY+D+e+//36z2AWV3U8ZAm9mccA/h/2LyAbGM4gMgwujN1QVz9pVxdleIJTqgKqwKFtEzJ0Jv2+76YzaFi1Dd7gI/oTGaIiIyOpw7F4VVhq7u7vR0NBwU4vXqumNyAYXCwP+cSscXgGaXwIaXgB6rcA402MFSf35la0p6M7HSNY+9Gfsx0SyEAsxD2LqjCoiIqvEsYGRMxmHh4dNJ9TrV0dHh2mM09zcjAsXLuD8+fOme2pfXx8CgUDq1SKyMaTPKlp/NtkBdaIVGDwH9FshsY9nFS/ZZxW5DVVnFWWL4VZUDulf8BShNVGL5kQ1puJ5iCbcSCowiojIKnFsYORMxampKRMab1yDg4MmNNbX16Ours6M1eBjCowiG0x6EP/SJDB0EWh7E2h6EWh/C5jttoOkBvDLFpV0e5HIKMKEezvqA+U45y/FTExHK0REZHU5NjD6fD5s27btt84qlpWVmbVjxw6Ulpaa7qjcijo7O6vB/SIbBUMiw+DiuD0qY+icfVZx4AwwcgmY6QKCqQ6oOqsoW1TYlYtxbwX6XDXojJZgKJyDYELdvkVEZHU5NjCWlJTg0UcfxR/8wR98bH3pS18y8xa//vWv4y/+4i/w5S9/Gdu3b0c0GoVDGsaKbH48qxiYsjufNr8CNJwEuj8EptrsmYsignnkocm1H03u/ZhJFoA/OtFWVBERWW2ODYysHFZVVWH//v2/tQ4cOIC7774bDz74oLnP7qihUAjxeDz1ahFZc/yBTTQI+EetYNgBDF4A+uqA/lPA8GVgptsexK+zirLFJdw+RH15mPFuR0u8Ci3RMiwkshQWRUTkjnBsYPwsLpcLXq/X3F9aWoLf70csprNQIuuCYZFbSwMzwMhVoOMtoPEFoP0NYLoLCKdGZYgI4p5MBHMqMZFRjdZwKTqX8uCPayuqiIjcGY4NjAyBPT09pqHNcoudUS9duoSuri4TFFmR9Hj0D67ImuJZxWjIbmoz0QYMXQD6WVXkWUXrPiuN6aqiziqKmM6oS6589Lpq0I4aDEYLMRP1mc6oIiIid4Jj/4UZHx/He++9h+eff96s//iP/zCL93/605/iX//1X/GDH/wAb731lgmKtbW1yMnJSb1aRNZEPGqPxOC4jNZfps4qvm993QSEFqwLFBJF0hgWYa3pZAHOhneh3lrTidzUsyIiIneGYwMjq4asMs7NzWF+ft7cpu9zcQsqzy2ysnjw4EHcddddyM/PT7369rF5zsLCghnfwUrmuXPnzPiOy5cvm2omgyx/3U/CTq3s2DowMGBezzmRXJwZyYpoW1sbJicnzZxJnbmUzSlp/QG1/gywA+p0JzB8MVVVPA2MWPf5GCuOvEZErom7MrHkK8W4pxytsXJ0houxmPClnhUREbkzXEmHtgZlMGtoaDC31+PZxfT5RTa7KSgoMF1S2VWVYzgYIFciHRYZ7BgUeZ//ExcXF5uGOwym99xzjxntsRyGRW6l5eubmpquff9ut9uMCmEl9NixY6ZZz0q+34sXL+LEiRPm/vHjx3H06FFzX+TO4llFay1OWH9Im4HRBiswpsZkMCSyA6q2n4osi2FxMu8gzifvwgv+w2gKbUc44UZCzW5E5DPkZnpRXpiFY7tL8M1HanCksiD1zNrQ587NzbEVxtzcXOzZs8eEM64jR47g8OHDJrBxsUvqAw88gHvvvRd79+41AS4rKyv16tvDYMjA2NraasLe1NQUwuGwqXby8fb2dvMcH/+krqzpyigXX8tr+L7p9xgZGUFLSws6OjrM/EiRTYEBkKMylqaByQ47JPaftSuLrDBOtv2mqqiwKPIx3IqadGdgwV2ItmQNmhPVmIjlIRj3KCyKiMgd59jAyPDHEMiKHFdNTQ127txpHmNFMV2dY7WR20gZzhKJ2/+gylDHxTB49uxZ9Pb2mrEd3/nOd/DXf/3XePbZZ82vwdDIqiO3x/LXvRErn3l5edi3b5+ZEfnd737XvP6//bf/hj/8wz9EZWWlCYx1dXXm1xLZFHhWMTRvN7Fpe90+q9j1NjDWAAStEKmQKPLJXF4kM3Ix5SpGXaASdf4yTMcyU0+KiIjcWY4NjAx/DGgzMzNmiydDFrd5pldzc/O1Tqk8Z8jnWcG7XawEBgIBs6V0dHTU/NqscD766KNmsarJ7a+sLHKb6cTEhLnmRtwmyzDLgMvq50MPPYSHH37YlO7vu+8+E3j5ev6eWIUU2dBMVXESmO5OVRVTZxWHUx1QF8d0VlHkM0TcmZjylmPAU4XOaCkGwnkIJOyxUCIiIneaYwMjm9pw2yY7pf7TP/0T/v7v/x7f+973TGfUH/7wh2YfNW/T91977TWz3fN2MfyxGQ0rh5mZmSb0cbGRDr/m7e7du03gm56eNk1tGDBvxGt37NiB8vLya6/l+UXepiuj6XDKbaoiGxbPKoYX7HEZPR8AjT8DWl6xzy5qAL/ITfO78tDp2Yd2zwHTITWadGkrqoiIrBnHBsb0WUJWDln1Y8ji9lOO0OC2Ty42keHifT7O528Xt5ey+yqrfgx3hYWF5hwl7/O9uUWWQbCoqMicPUyfb7wRvxe+jttS06/l98WKKauT/HVYheT78bnPwq6rDKh9fX2m6yoPHXOxysr/XRg6uZVWZFVwaymDYGAWSQ7cH74MDKTOKg6et8JjC7A0Yf2BCWgQv8hnSLp8iHtzMOfZjuZEDVpiOzGXyFZYFBGRNeXowMjGM9yS+vnPfx7/63/9L/zN3/wN/vZv/9bc3riee+45VFVVpV5969JVP4ZABj2GvusDXToI8jlew2v5mpvFimlnZyeGhoZMGOVZxpvpkJqutH7wwQdmBiWrqVyvvPKKOWf5Sc13RG4LQ2B4EZjphqvjV0DTiwBvuQWVVUUGSp1XFLkpCY8P4ewyTPgqcTW4Aw2LBViIaYyGiIisLccGRlbWuD2U1TM2kOEoik9b7KDKM4a3ixVAVv8YvtLVS24lTUuPxWCI5DW89maa7LACyIrk2NiYqZbylmHx0KFDK/p+RVaVqSrOWEGxFxi5bFcU+1hVPAdMtgL+UbuqqLAoclO47yPgysOguxodqEFfrBCTkUwzRkNERGQtOfZfHoYzngFkqOL2TYa4lWw5XS+sALKJDquL3FLKraycwcgmODzP+Fn4vwGv/9znPodvfetbZvYN11e/+lVzpvJmt7aKfCpWFdnEpvcjoPEk0PwyMHbV3n7KxjcictPMIQGXGzPJXJyP7caF2B7MxvPMcyIiImvNsYExJycHu3btQmlpqanKMWzxTCO3ZzJ83bg46iIYDKZefeuuryCyKnhjBfH6CiSvubECeSNex++HHVG5tZbfIwMvm+FwbmR1dfVNbUnleceSkhLzvwXnUTJocrFCycC5WYO0rDNzVjEKBOeB6R5g5Ip9VnHgtLXq7cY2rCpGlnRWUeQWJdyZCPmKMeEtN+cW28OlWEhqjIaIiKwPxwZGhiEGI85e5MzCf/3Xf8XLL7+M119/HW+88QbefPPNj636+npz3vF2MQQypKbPKLL5zfVnAxki08P4eQ2v/bTKHrfUsilNV1eXOX/IW47V4DxHhsV0QxyRdZGw/tuOBoHZPqDrXaD5JXu+4sA5u6rIkKjtpyK3JeLJxVzOLoxl7sNArBijkQyE4tqKKiIi68Ox/wLx7CIDG0Mat3RyjAXHZvA+K46s3F2/GBYZ0m4XK4bpzqjcRprumMqAyO+Dj3H2Is9VsgMqK58MfTdiJTLd2ZSzIlkVZeMavjdnOfKspSqDsm5MVXEOmBuwzyoOnAH6TtlVxYlWYGHIrioqLIrcBjeSbi8W3fnoQC1akjUYjeVjKeZBXJ1RRURknTg2MDJwsbJ4+fJlE+Zqa2tNZY6dUFl1rKio+Njitk1u37xdDH8MgQx2DIkMoKwQMuzxa96yKynDaXFx8SduKU1XInntO++8Y7bScvvo7/7u72LPnj3mTCZ/PyLrgmGQjW3Y1KbpBbsL6sglwM8B/Le/pVtEYIVF659kTxamUIS6YBXqFiswHc9KPSsiIrI+HBsYObZicHDQhDaGswceeMBU59gAZv/+/b+1GCRv5kzgJ+H2UFYXWf1jAGWA7Onpwblz58x2V3Y4ZdWRj3N4f3oeI6ueXOm5jDy3yO+blcWGhgZ0d3eb3wsf7+/vNwGSIZhnMRlCRe4ozujk9tLQgr39dKwBGKwHBqzA2H/W+roRWBi2gqT136LOKoqsSNSViTnfDgy5K9Ee3YGeSCEW4/oBoYiIrC/P31lS9x2FW08vXLhgtm7y3N+jjz6KmpoaU11k45gb1/bt281W0ds9F5jeHsoKYfqWoY9h8dKlS2ZwPgPpwYMHzVlEnmFkFZGhkoGRoZAdTRkCGTK52tvbTaWSj10fFjl4nxVU/l5YGb0d/N+H70Pps54ivyUZt/5jDgNzg1ZAPA30fgj0WbcMiktT1nMhbT8VWSV+bwl6sw+jyXMIV0IVGIvmwP7Tpe2oIrIyGV438rK8qNqWgyOVhdhRsLaNtPS5c3NzbIWRQZEBkFtEecvFqh63gzJk3bh43Uq3ejI08n1YyTxy5IgJoenmNHycYZHP8XGOs1iuS2q62yq/p7vvvtt0NmWgZfWSvyeRNcGziqwqzg9Zf8tfhemAysDI2/Em63ErQLKqqLAosmJJlxsJbxbmPMVoTdSgOVaFmUSOObeY1NlFERFZZ64ku8M4ELdsvvbaa6YSx22onDnIrakMjQxlNzaMYRhLh7uV4OgMbh9dWFgw1cH0qA6ej2Ro5RlEhkf++qwcphvt8HlWGNkgh99zumkOv+b3dn245Gt5Lbe+8vZ28Kc8J06cMPc5l5E/7RG5xoRFKxRyPAZDIhva+EeAwKz1H7lGZYisJobFWGYprrgO4Kfhx3E+shsz0QyEEuqELSKrIzfTi/LCLBzbXYJvPlKDI5UFqWfWhj53bm6ODYzczvnqq6+abZ8MamxIc31gvLG6x7OHnG/I261Af3DlY/jXAKuFHJURnLG3oE6228P3B88BswNAPKSgKLLK+A9wwFeMyey9OJs8jJ/670NDuMz6x1mVRRFZPQqMshKO3ZLK6hzPB/LM35kzZ/D222/j+eefxz/90z/hRz/6EX74wx9eW/wPmNVIniUU2ZIYFuMRYMH6M9B7Cmh5FWj+OdDzgV1pNGFR209FVlP6p7VzyTxcTu7H5cRezCbyFBZFRGRDcWyFkV1JX3rpJXN7M3i28LnnnjO3W4F+0iMGK4ZRKwwGZ+3RGNx6OlQPjDXZXVFDc6kLZS0lXT4kPD6EXVlYRA7CUKdMJ0rChYQVDntcVfjQ+xiuxPagP5iF+ZjOq4vI6lKFUVbCsYGRZwiHhobM7c3g2UKO1uDtVqA/uGKEF5H0j8A1bgVFzlacaLHHZASmrSAZsKuOsubi3hxEs0sx6dmJDlRjOrk1/l7aauJwI5z0YChWiPOhSvRHirCUcCNmLRGR1aTAKCvh2MDIZjKcc5huKvNZ0k1pVjK8fzPRH9ytyvrjzj/y5qzirB0OJzuA8QYrMNbbVUU1tVlX/At50VeKsZwD6PbsxdX4Lowni+wnxVHiSTci1pqM+tATyMWsdSsicicoMMpKODYwskMph95zcP/NSDe94diNrUB/cLcoc1YxCsxbQXHkMjB2BRhtAub67apiZNG+RuMy1oX5y9jlxqCnFqcyn8RlHERHqAjTsWzzvDgL//+Ow4VIwg1/3KPKoojcMQqMshKODYzDw8M4f/68ub0ef7tcsVjMjLzgfVYVd+3ahccee8xsS90K9Ad3i2HFkAP4eSbRPwFMtll/SM5bYbERmO6yO6PKuou7MxHx5qPZvR+/SH4O52N7MRLOxGJM4xVEROT2KTDKSjj2x5ncijo1NWUC441rcHDQjN2or69HXV0dGhsbzWOBQCD1ahGHYVhctILiSAPQ/BLQ8ALQ+5EdFllVlA0h6snGfE4NxrL2oj++zYTFYFxVJxEREVk/jv0k4vP5zDbT8vLyj62ysjKzduzYYWYzZmdnm7OO3Lp6s+cdRTYFbh6IBOxRGRNt9jzFvlNA/xlg9LJ9XpGVRTW22QDcSLq98LsL0YlatCZqMBLNN5XFuEYsiIiIyDpybGAsKSnBo48+ij/4gz/42PrSl76Er3zlK/j617+Ov/iLv8CXv/xlbN++HdFo1GxPFXEE/reciAOBKWDoItD+JtD4ItD5FjDTY1cV1dhmw0i6rb+KPVmYThaiLliNukAFZuI6tygiIiLrz7GBkZVDnkfcv3//b60DBw7g7rvvxoMPPmju8wxjKBRCPG59wBbZzBgS2QF1cdwekTF4wR6XMXDGbnIz3fmbqqIa22wYUVcm5nzbMeSpRHt0B3pDhVhMqGOmiIiIrL8tezjG5XLB67WHIy8tLcHv95tGOCKbGoMgq4rjzUDrK0DDfwC9/wlMtgLh+dRFstEE3Pnoz9iPnowDmEwUYCnBraipJ0VERETWkWMDI0NgT0+PaWiz3Lp69SouXbqE/7+9Mw+O67jv/G9wEiAOErwPgLdEkaIkkhJpyZLlo2Q7kWXFlXWiKHa5cpQdK5WNXZvavzZbyZ+prd1s2anERxyVXJFk67IU2ZYlhVrrICneN3iBJEASJHHfN2Zm36ffNDWGByRIDkHMzPdT9QqDee/16+5fvze/b/+6+9XV1TmhSEQyP18rEYoMhOGnRBV7LgXC8HgYVazfGmzbzC7sNWs/E74yQ3MVpxzxSJ7FCqZZV/5MN2/xyOhia49Nt9FYJDCr5i4KIYQQ4taTtYKxqanJtmzZYs8//7zbfvKTn7iNz88995z9+Mc/tu9973v25ptvOqG4ZMkSKy0tTZwtRIaAWGRoKcNMLxwwO/FWuALqsV+YtQbicahHQnEKE88vstHiKmvOn2e7BubZnt6Z1j5alNgrhBBCCHHryVrBSNSQKGNnZ6d1dXW5v/4zG0NQmbdIZPH222+3O+64w8rLyxNnCzHFcXMVB836WsKoIgvbnPNzFYPPrSfCqOJocIzmKk5JGHE6ECm1i/kL7Uykxk6NVNmF4RIb1MvbhRBCCDGFyFrPpLKy0i1s88ADD7gX8vuN/x988EH77Gc/a0888YQ9+eSTbuVUFsDhNRxCZATRkUBtdISvy6h93ezgC2Ynt5g1HQ5fzm8SiVMZPz2xM15m++OrbF98hXXEyl3A2ExDUYUQQggxdcgawRiLxWxoaMi9fJ/oIdTU1Ni6det+Y7vzzjsv/12zZo1bNbW6utq9hqO4uNidJ8TUJFATRAx5AT8v3G/cY9awNdg+CD7vDldA7Qv2cYyY0sTzCm24sNLa8udabXSRHRuZZz1xnj8Si0IIIYSYWmSNYOQ9igjFlpYWa2xstO7ubpsxY4abmzh2Q0hWVVW5YasMU+Wl/ZxLGkJMTZirGGwDneEKqHX/GUYVj75u1nIsjDZqrmLGMJpfYn2l1dY0bamdHJ5l9QMl1hvVoltCCCGEmHpkjWD0q6KePHnSWltbnfhjfiKicezGcFW/wA3CkvPOnDnj0hBiSsH8w9GhcD5i60mzxn1m57aHcxWJKrKwTV+r5ipmEKyM2hspt1ORGjsWr7HGkQrrHCm0Uc1dFEIIIcQUJGs8lPb2dtu5c6ft3r3bent73cv48/LGLx77OIbIIudwLmkIMaVgruJQdyAM68yO/dLs8Atmx980u7A/jCrGEIkSipkCYtHyi6zNKmz70BLbPlhjrVGtziyEEEKIqUvWCEbmLjY0NNj58+fd/9OnT7/8Yv5UsI9j4OzZs4owiqkFUUUih+2nw6gi71RkvuK5XeEKqL2XzEb6gwMlFjOJ0bxi6y2cZRfzw3mLdUMzrC9WmNgrhBBCCDH1yBrBGI1GbWBgwP2tqKhwK54WFo7viLGPY3iVxvDwsItKMqdRiFsOcxWJKjI38fS7ZgdeMKt91ezSIb2AP8MZzCu3i9NW2rnildYUq7TukQIb0Qv6hRBCCDGFySrByCqpiD6Gmk6bNs29kH882McxHMt8R97JyEqrQtwSmH+IEBzosHjbqXDI6dkPg22r2fmdZs1HwhVQiSrG1LGRaTAUlZf0d+dX2NHYEjscXWwt0TIbiuVZTIJRCCGEEFOYrBGMiD0ihWzXIvzi8bgTm2x8FuKWgAgc6jNrO22RE2+aHX7J7PgbZuf2mPW3hIJSi9pkLnkFFi2qsNbIXNvRv8B29My1tlG9xkcIIYQQU5+sEYwsYuPfo8irMtra2px4HA/2cQyv1IhEIi7aeKVFcoS4KRBV7O8wa683u7DPrCFprmLLUbOexjCqKLGY0QxGSqylYIGdyVtsJ0Zm2bnhUhuI6TUaQgghhJj6ZI1CQiz6l+/X19fbiRMnLr/APxXs4xUcLJSTfK4Qk4qLKtaZ1X8QvlfxyM/MLu4PF7Vh4RuRFfREyqw2sspq81ZZR7zCovGIxTUUVQghhBAZQNYIxrKyMlu1apXNnz/fLl68aPv27bP9+/fboUOHnHg8deqU244fP+6+Y9/evXvdsZyzcuVKl4YQNxWGPTP8dLArXAEVccg7Fc9uMzu3M3wpf89Fs+FASGquYsYTixTaaGGZtefPsdrYYqsdXWBdsWkSi0IIIYTIGLJGMFZVVdmmTZtszZo17n2KH3zwgb300kv2/PPP2+uvv25vvvmm2/j83HPP2Ysvvmjvv/++G5bKOZs3b3ZpCHFTiUfNRgbMOs6a1W0xO/Ky2bGfmzUEorHvUqAwhjX8NIuIFRTbYMkCay6qtiODc+xYb5l1R8d/3Y8QQgghxFQjawQj71RcsmSJ3XbbbVZdXW2VlZWX5ykSRWxsbHTbpUuXLs9v5Jiamhp3DueWluoF2uImwQv4BzoDodiQWAE1EIj1W4O/u8yaa826z4dRRYnFrIGVUfsi0+1MXo0dtyV2dqTS2kaKbCSmudJCCCGEyByyxnPhNRklJSW2bNkye+yxx+zJJ5+0z3/+87Zx40ZbvHixzZgxw2185jv2cQzHLl++3J17pddwCHFDIAY76kOheOiFYHvRrHF3YlGbgcRBIltALFqwtcUrbMfwsmBbaq2x6Ym9QgghhBCZQ9YIRlY6LSgocC/jv/322239+vV2zz332Lp161wEccWKFW7jM9+xf8OGDe5Y/5J/rZIq0oabqxg1G+wJheKlg4FY3BGugsr7FZsOh3MVh4L9mquYdUQjhdZfOMua8hdY7eh8OzlUZb2xosReIYQQQojMIWsVEq/JWLBggROIiEPmKLLxGZHIPo4R4qbA0FJWOe06b3b6XbPa18yOBhuroSIUeZ3GNbwvVGQWw/nl1la63C5MW2kXojOtZbjQvaRfCCGEECLTyFoPhmgjq57yugzE4aJFi9zGZ75jH8cIkVairIDaHQrFiwfCaCIroBJdJKrY2ZAUVZRgzDYYihrPK7DuvAo7Hl9itbFqaxots4FovsW0MqoQQgghMhB1eQuRTnjJPmLx3G6zQy+HcxURi11nw3mMIrtBMBZOt9ZIlW3rX2TbexZY66hGMgghhBAic5FgFOJG8HMVh3rNOs+FUUTep3iWFVC3mV3aH4jF4Hveu6i5ilnPcF6JtRXOs7P5i+3EyGyrHy6z/phGMgghhBAic5FgFOJGYK5idMTizEtsCERi7etmR14xO/VOGGlkHqNelZEz9EbKrK7gNjsZbO3xShuKRSxqGooqhBBCiMxFglGI64FoIVHFngsuqhg5xwqogWDk76UDZh1ngv2JqKIEY9YTjxRatKDUOvNnW22sxmpHF1p7rMTNW4zEEwcJIYQQQmQgEoxCXA8jg2FUsXFfOFfx4AvhKzM6TpkN9ycOErlCLL/QhkvmWnPhAts3MNf291Ra16iGogohhBAi85FgFGJCxMNIIQvXMNS0+YhFmKtYn5iryIqoHWfNBjrDV2aInIEAYn+k1M7nLbI6W2L1IzOsebjYhmL54QFCCCGEEBmMBKMQE8EtbjNq1tscLmpz/Jdmh182q3s7fDE/UcW4FrXJNcLRpnnWES+3PaMrbE90uXXEyty3QgghhBDZgASjEFeCFVARgz2XzJpqEyugbjNr2G524YBZ+ymzwc7guOEwAilyilhesQ0VzbCW/HlWG11ox4bmWHesKLFXCCGEECLzkWAU4kqwyilRxYsHzQ6/Es5VPP2+WevJQEh2Jw4SucpIfol1lS61S9OWW/1olTUOFbmX9AshhBBCZAsSjEKMheGnIwNm3RfMWo6ZnU/MVWRRmwt7zTpOmw20a65iTpNn8bwC680rt5NWY0fjS+zCSLn1jhZYNK7XaAghhBAie5BgFCIZxGI8atbXGq6AevxXZodeMjvxRjj8dLg3nMsocpp4XvDozC+y1vhM2zZQY9v6F1pbtCSxVwghhBAie5BgFAKYq0hUsa/ZrJmo4m6zc9vMzjJXca9ZWyAWfVRRcxVznpFIsXUWzrPG/EV2bGSunR6stN5YYWKvEEIIIUT2IMEoBCAE+9vMmo5YvPa1cK5i3TtmLUfNhnqCAyQSxUf055Xb2aJVdjrYWq3C+mL5Fg2XTBVCCCGEyCokGEXu4uYqDoYroLaeMDu/x6x+m0Uatppd2G3Wftqsr8VsNDhGiIB4JM9iBdOsK3+mHY1X25HoYmsbnW6jsUjQnDR3UQghhBDZhwSjyE3cXMVYOMz00kGzk2+bHX7B7NjPzVoC8TjYrUVtxG8Rzy+y0eKZ1pw/z3b2z7M9PVXWMaqhqEIIIYTIXiQYRW6BSORVGf2tgTA8HkYVGz4M36vI59bgu/5EVFFzFUUSjDgdiJTYxfxFdiZSbadGqqxxuMQGYnqNhhBCCCGyFwlGkVtERwKvvzMUi0QTiSrWvW3WdDD4vkMiUaTET0/sipfbwfgKOxBfaZ2xCheoNtNQVCGEEEJkLxKMIjfwL+BvqzNrDOcqGnMVXVTxRLhPcxXFOMTzCm24sNLa8udabbTajo3Ote54cbBHYlEIIYQQ2Y0Eo8h+CAMRVWyuNavbYnbop2ZH/yP8n5VRNVdRXIXR/BLrK622pmlL7cTwLDvdX2q9UQ1FFUIIIUT2I8EoshM3V5FXZbSbtZ40u7Dvo7mK53aHr8vobdVcRXFVWBm1L1JmpyPVdixeY+dHKqxzpNBGY3p8CiGEECL7kccjspPoqNlQdyAW68yO/zKcq3jyV2YXA+HIyqgxRKKEorgyiEXLK7DWeKVtH1wabDXWFi1N7BVCCCGEyH4kGEV24aKKreE7FBuJKm4NNxdVPG7Wc9FspD84UGJRXJ3RvGLrLZxjFwsW2LHReVY3NMN6Y3qNhhBCCCFyBwlGkT0wV5GoIu9RPP2u2cEXzGpfNbt0KHwBv+YqimtkML/cLpWstPPFt9mlWKV1jRTYiF7QL4QQQogcQoJRZDbMP/Svymg7ZXZhf2Ku4jaz8zvDhW16m8KoYmw0cZIQV4ahqLykvzuvwo7Gl9jh6GJriZbZUCzPYhKMQgghhMghJBhFZhOLmg33mbWfMTv5ttmhl8I5i427zPqaQ5GoRW3EtZJXYNGiCmuNzLEP++fbjp651jbKazSEEEIIIXILCUaRmTC8dKDD4h31iRVQt5nVf2B2PhCKLbVm3Y1hVFFiUVwHg5ESaylYYPV5i+3E8Gw7O1xqAzG9RkMIIYQQuYcEo8hMiCq2nbIIIvHQC2ZHXjG7uN+s96K5l/QLcQP0RMrsaGSVHcm7zTriFRaNRyyuoahCCCGEyEEkGEVmwII2DC8d7A6Hn144YHZ2e7BtC7adZk2HAy//QigkNVdRXCexSKGNFpZZR/4cOxJbbLWjC6wrNk1iUQghhBA5iwSjyAziUbORAbPOs2Z175jVvmJ29BfhUFSiigxR1fBTcYPECoptsGSBNRdV25HBOXast8y6owWJvUIIIYQQuYcEo5jasALqYFcoFIkqNmwPtq1hVLH5sFnX+TCqKLEobpB48Djsi0x38xaPW42dHam0tpEiG4npMSmEEEKI3EWekJjasHBNR0MgED80O/xCsL1o1rjbrDsQikQchUgDiEXLy7P2eLntGF5uO4eXWltsemKvEEIIIUTuIsGYZkZGRqy7u9saGxvt0KFDtnPnTtuxY4ft27fP6urqrKmpyQYHBxNHj8/AwIBL4+jRo7Z3716Xzq5du+zIkSMuDfZHo9HE0VmEm6sYlGuoJxSKFw8GYnGHWf02s4bgLy/hZwVU9muuokgT0bxCGyicZU35C+zo6Hw7MTTLemNFib1CCCGEELmLBGOa8UIPgffss8/ad7/7Xbc9/fTT9sYbbzgR2dXVlTg6NfFANLW1tTmh+corr9gPf/hDl8Y///M/20svveTSYP/w8HDijCyCoaWsctoViMIz75odfc2s9tVAML5n1hN8x1zFmIafivQynD/d2kqW2YVpK+x8dKa1DBe6l/QLIYQQQuQ68ojSCEKP6CJRwcOHD1tra6sNDQ3Z6Oio+/748eNuH98TZUwVISRC2dPTYxcvXnTHnzp1ynp7e10afX19dunSJZfGiRMn3HFZA9FCoobMSbxEVPHDYGMF1B1mTYfMOhuSoooSjCI9xCN5Fs8rsJ68GW7e4tFYjTWNllt/NN+9SkMIIYQQIteRYEwTiEU2xOCHH35oZ86csQ0bNtjXvvY1+8Y3vmGPPPKIE4+IQCKQnZ2dThyOhQjl+fPnrb6+3g09raiosC9+8Yv29a9/3b785S/b7bffbidPnnTXIMqYNTAfkaji+T1mh182O/SiWUMgGhGKI32Jg4RIMwjGgunWGplp2/oX27beBdY+Oi2xUwghhBBCSDCmCaKF/f391tHR4aKDiMPly5fb5s2b3XbHHXc48UdkESHY3NzsjhmLF4ykEYlEbP78+bZu3TrbtGmT3XfffVZdXW3t7e1OkDK0FdEZy8QhmpfnKvYGovCc2aXDZud2mJ3dGq6EeulAICCD71khNaq5iuLmMJxXYu2F8+xc3mI7MTLb6ofKrC+m12gIIYQQQngkGNME4q+lpcVFDouLi23mzJluKy8vd//zd9myZTZv3jwXGTx79qwTmGPhO/YhChcsWGArV660srIyl8acOXNs1qxZTkgiLBmimrGL3zBXMTpi8Z5LgUDcZnbsdbPDPzOr2xIIxbNhxFGvyhA3mb5ImZ0qWGUngq09XunmLarVCSGEEEJ8RCTOOEpxwyAUGUbK3MXt27fbjBkz7I/+6I/szjvvdPvPnTvnvm9oaHDicvHixfbJT37Sli5d6vZ7jh07Zq+++qob2srw09WrV7vo5OzZs91+Vkr93ve+5yKVpH/vvfe6a02bdm3D6Pbs2WM/+MEP3GeGu27cuNF9vukgAv0qqL3NZi3Hg8rZGc5TbD9tNtCeOFCIm4ebuxgptHMFS2178YO2K7bK9vdU2qWR4sQRQgghRPZQVlxg88qn2b3Lquy/bFxsaxZUJPZMDrfM7xRpQYIxTRA19Iva8OoLBN6XvvQlJ/aAIaa8HoNFbIhEEj383Oc+ZytWrHD7PZz705/+1A1tZQgqgpPIJNFK4PUc//Zv/+aii48++qitX7/eRS2nT7+2d8bdshuXF/EP827FerPzgVBsORYudNPXFnzfG66CKsRNJpZfZCMF5XbMltkvo/fZodEa6xgtsEGtjCqEECILmV5UYLPLptndNZX2hXULbdW8ssSeyUGCMbORYEwTiMDa2lonGnnfIsNHWayGKCEwb/HAgQNuwRoWvUHk/e7v/q6tWrXK7ffwyoznnnvOzU988MEH3fzFmpoaq6ysdPtJ45lnnnErpLKQzt13320LFy50Q15Twas3ONZv/lUcCNuf/exn7nOysL3ZxEeHLTrYY5GOBsu7uM8izFMc7guFpMga4vHY5bm1eXl5FolMLSEWCsbpdia+wN4dvs0aRme57/UwvDb4+YglhsTn5ee74fIi+5CdcwPZObspLohYZWmRLZ1VahurK23hjBLLn0Q7M4IOvxN/9amnnnJBEZE5SDCmiakqGIl88goO8sVfv7IqQ165eYFhr37I681mdGTEhgYCgTjcb8XxfiuMDVucV2VovmJWER0dtcGhQfd5WvE0yy+YYgvJRPItFmy9Ns1aY2XWF9dQ1OuB1/0MJhbvmlZcbAVTzc4iLcjOuYHsnN3kBcKwKD9ixflmpflxKynKd+tjTJad8T/xgfGLv/3tb9v999+f2CMyAQnGNDFVh6SOJxiZR4koBcQoD43JgLmerPAKlIv5lyL7kJ1zA9k5N5CdcwPZOTe4VXZmhBu+62233WZPPPHE5TU+RGYQkWBMD9yAU3HRm/GGpDJc0L8HsrCw0A0bnAwQrq+99pr7/Pjjj1+OwIrsQnbODWTn3EB2zg1k59zgVtkZv5MoNiPieEWcHzknMgMJxjRBrwnvVty/f7/9/Oc/t5KSEvvqV79q99xzjwv3nz592t58800XaWS4Kq/LYMIvkcZk6PXZsmWLexdjaWmpe5fjxz72Mfc+RoQmgvFHP/qRu/H+9E//1EUhuRaiLxPQpOfcQHbODWTn3EB2zg1k59xAdhbXg5YETBMM6SQKSI8Jwo73KDKslKge//MXMchcxqqqKte7gtAbC9+xjyGoiEvmQ/b29ro0GMrKkFLEIscxDJW/TFoWQgghhBBCiHQjwZgmEG0IOIQeUUMEJFHFnTt32o4dO9yCOMwZ5HvmHDKMFCF44cIFtzEEFVFIVBHBSBoIQ0TjwYMHXRpEFxnaiuBk3DnidDKHkwohhBBCCCFyCymNNMGyxGxEGTdv3uwEHWH/p59+2r7//e/bW2+9ZUVFRW6y76JFi5zAJOK4e/dutzGmnCgkEUP2M7dx7ty5TmT+x3/8hxs+8MILL7g5jqysyjDVWbPCVwEIIYQQQgghxM1AgjGNIBiJ+q1Zs8YtdsNcRSKKiEO+Z2Ix+/ieRWpSRQaJGFZUVLgII8ezimpZWZmbB0kEk7mMLIKD8OT7TAPRjNBl47PITmTn3EB2zg1k59xAds4NZGdxPWjRmzTDyqMDAwPW3d3t5jHyGbgpEXiIQcQj4jJ51VL2s3KUf71Ff3+/O590SIOVpRCYDFkliumPzbT5i6wk++tf/9p9TrVKrMgOZOfcQHbODWTn3EB2zg1kZ3E9SDCKScW/FxKIktLDJbIP2Tk3kJ1zA9k5N5CdcwPZWVwPEoxiUvHvhQSipBoOkZ3IzrmB7JwbyM65geycG8jO4nqQYBRCCCGEEEIIkRIteiOEEEIIIYQQIiWKMIobwi/yw/AGv8gPTYohDgx1YGORH1aFvRKcN3aRHxYG8ov8sFgQaWbaIj/Zwo3amSEwfX197nxeFTM4OOi+x8Z+MSfmUbAwlOx860jX/eyJRqPu/bKdnZ3unbK8W5ZVonkPLas+syq0mHzSZWee09zLY9Px9zXPbVb2zsQVvbOBG7Uzx3LP8uxuaWlx747mnmYDFt7Dxmz+2S0mDxZH5B3e+E18xi78dmIPXs+GfScC7YL2If9LXAkJRnFD8IBpbGx074fcsWOH+0yTqqqqcu+L5BUg69ats3nz5iXO+G04nvN27txpR48etfPnz7sfJl4lwupdH//4x2316tVOUPCeSjH53KidOzo67PTp0+78w4cPW1NTk/sepxLRsGTJEvduUSbgz5w5U3a+RaTjfk7GOzQHDhywX/ziF86Bffjhh+3uu+92Nkc4isknXXbmOX3p0iX3HmGe3zy7ERg4logQXg31O7/zO7Zy5crEGWIyuVE7I0C4Z3l2v/fee1ZXV+fEIx2AvvOHV4hhZ9IjXTF5nD171rZu3ep+U7n3eN5y32GTxx9/3PlNV0P+l5go+X8XkPgsxDXBg8Y7g0eOHHERBB5YfM8PDb2afObHiB4q3+ucDD9G/ACxzPOuXbvcDxI91vRwEZngR4nzcEB8VEJMLumwMz9AFy5ccOciFrE5x2FfejRJhzQ4T3a+NaTDzslwLJFFnNXdu3fbBx984FbnI+I0d+5c54DIzpNPOuzMfu5d0jl06JBzNH064I/3wkSrME4+6bAzv8XNzc3ud3n//v2XBSfwGz0cCEdEKW2Bd0fz7CYdMTn41U4RjtiaKDA2QuzRKUeU8UrI/xLXggSjuC740WA7c+aMvfHGG04MbNy40UUP7r//fucQnjp1yjmMCxcudMNeGNLAgywZHlb0aJ08edI5HQxxeeSRR+yhhx6yZcuWuXN8OkQk6NEUk0e67IxjgbPCEBeiiPfee69t3rzZ1qxZ4xwNSJedvUMjx2XipMvOHp/euXPn7N1337WDBw+6NkA6y5cvdzbHxnJAJpd02RlHEnsSeXrrrbecGNmwYYNLh5EC3N9r1651kafFixdPeAhzJkD9wVR+vqTLzggSxKaPLHLspz/9afvEJz7hIpNEnBCSDGckCsV9Tb3o2Ts5IPgQ/8kdM4zmYXjwfffdd1XBKP9LXAvjdw8LcQV4SCEAeDjhLNAbhSOICGBjqAu9lvRWEVGil5JjxkJ0iQcWafAjQ/SBH6JNmza5B151dbX7MeKHj7lvPCBxVsTkkC4788PDUNOamhq76667nEOJfXEy165dE/zQVbnzsTM/YteLd2SHh4dc3r1zJ65MuuzsYR+93QxXJE16rDkfx4a2IG4N6bIz3xHRwL78hRUrVly+r/nLvY0Tm03zFzPl+ZIuO1NW7MtvMGVHkHAutiWChYBk9AhpkJaet5MLHbD4SHS83nPPPa4zdqLzFkH+l7gWJBjFdcGPCw4hPU/0SiEG2HhY8T9/6aFiuAu9lAyZ4AdsLHzHPh5K9E4y1wUHgzTozeIHigcZDzaEhB++KCaHdNmZY+nV5gfJn8vwp4KC/MDe04MfvpJAVIw4p+NGfpBIk7SLi6e5YTTq6Z4Y6bKzh+Fu9Fg3NDS4dHBWuZeJNGnhhFtHuuzMs5joIoKRRTEQiz5iTJTKz2HMNntnyvMl3fczz2Q6fbxgYPPRLeagkyZ2HzukVdxcuL+wIb4TUWLscC02kP8lrgXd3eK64MeCHiceIjxceFjhLPDZOwsIBMa90wNJLyU/YmPhO/ZxDD9oPPw4lx8f0mMjIkHPJQ8rHnB6YE0e6bKzt6f/MfJOJLYcGWEBhaj7nvTkdEw+6bKzdySJbDDMicgD9zSOCOfSDrJRxGdKZCVddqZjx0cXvVBg2CPDFxmiyF/+Z34b1xSTS7rszG8vwoHfZgQjkSjmRG7fvt0+/PDDyx1CDFd84IEHXDtQJ93kwb3Hb6rvCMC211L/8r/EtSDPTFwXPDR4ePDA4UHFg8WLAPAPHPZxzHgPmomkw7CLq6Ujbg7psvNY+AHyaSMqcCxnzqxyvZxaiW3ySZedfTo4IUSg6LlmGDLzm3BqspVMcZLTZWcECfcsESxECcLhl7/8pT399NP2wx/+0J5//nl7//333fwnnFExuaTLzgxb5d6lw4fOIFbjfPbZZ+0f//Ef7Z/+6Z+cjZmjyhBGkXlMpJ3I/xIeCUZxXSQPSeGhwrCU5MgQn/mOhw/HcCznjOVa02FOBT2dYnJIl53HwnE9Pd2BWLxkdXWnrK2t3TkeLJKRzcJiqpIuOyMeWHGPxW6AOYv0WjNsEacjm6DTYyJtfSqRLjvzHVFGxCCikSHI/tnMOUSYiTKy+ehVptVVZhJGuidqZ/ZxLLYbGhoMzglfl+HhOO5bNo4d2zHiI+uybWYy0XbC84B7mzaCqBS5yUctQ4gMgB8oCcbMhx+e5uamQCyedEOcmpqa3YR9VvJjaIzITIgo8j4vhqMybxF7IhqzcZgaZUp2rnIJnsNsiEbmwOFssrLiH//xH9tXvvIVt2AGIwd4nQpzpDQ0dbLgPpv48Ghuy/z8oA3HY9bf32d9fbyY/6PfV4Yh8poGRD8jP1joBvt+61vfsqeeesoefPBBt2jKtm1bE2eI7ITOMTqQhhP/i1xEglFcF2N7nsb2RCf3XHHM2J4rT7rSuVmEUYSo23KRdNuH43BCcDLr688kVmfLszlz5rpFGFiVTUNSJ5902ZmIE2KRd4NhYxxNokx0CiAcsDcr7rExB455VqQrJod02ZnvEInMb+IY5sixIur69etdJwGL4CCoiTTSBohC3gw7Jz+f+Swg7MhIZWfqCEHIAmPUGcdNn15qJaXT3Pd05GF7D0MQGW7MvcrwVEaAsAIuL3Ong4AVrgsLC6y7uytxhriVYM/iYu7JAmfPqzFeO/FwD7OPjQXq7rrrnsQekYtMnuctsgoeIMlj2xmKlvxDw8OH7/zYeI7lnLFMJJ3kMfZ+0ZTJIh4PHai8vN/Oey6QLjt7GPrU3h6uyldbW+sEAw4m7/ZiSCppXOl8cXNIl53Zj1BkhdS3337bnnvuOfuXf/kXe+aZZ2zr1q22d+9e27Jli73zzju2b9++q67OKNJLuuzMdwxNYxVF5qhy7/qFN+jwQUAyH5nRAtiXyDP3frrxz2c2PosQ7JLKzohE/g+Hnw4FIiASHDvTZs+uciIjWSyA7wBiASPSZHEb0kVkYG9Wvb7ttpVBG6hOnCFuJdgQu7DqOPa9Gld7HuTlRYJ9hcE9zYrH2TWlQFw7EoziuvC9yjgNDEvyK7Lx0OGBw3e824meZUTeeHOY+I59HENvtH+fk3dc2LyjgSPif6wmi2g0FuQxe146fa2ky844ItiR48I5bmfduaTNogpsOJep5smIm0+67Mz5S5cudYtksLrieIJD3BrS/dzGxjyXsTHRirEb9zJRLb+lGzryeD6z5Wqn3njwXr7ftvOws/PAAO9fbA5+czudGJgxozJoGwW/ZSd+hxGNbDzDvZ2BxzTRrKqqUHCKzONq/hfPhbB9VNhjj/1e4iyRq0gwiuvCP2hwPnio0IPMA4fFD/ifvww74wHEHKbxhhryHfsQCwxXq6urcz9OpMF7pIhW8EPFcfz4eedksphMcToVSZed/Q8QNj506KCdP3/OFixYaGvXrrNFixa54U65Xte3knTZmUjT7//+79tf//Vfu3lOfvva177mhrHxwu/PfOYzLqLM8EWiU4hKMTmky87YjH28moFzON6/o417nagiwhOhwvlcT/f35DPWzjyDGbKKrY4fP+EWHEMflpWVu866sfBby+8uf/k95vnNuQxp7e3tCdJjBdy4exWDuPWMjIy6+7G/fyC4364eEeTeHM//Cu/fzsD+pW7hMiHy/y4g8VmICUPPMQ4ADgERI6JHOBH8IOE8sKT+8ePHnYPCkEMcSd9b6Z0T31tJWvwIMTyN/ZzDjxsPLybU0+PFQw0HkweXIlCTR7rsjA1ZOfPkyRN29OgRZ9+SaSVWEKQ9PByuqsg8Gc5jXhTpickjXXbGuSTqxP7kDWcUh4T7negj892Ys4oo4TwxOaTLzmzYFGHIc5v7G+eTY3hmkw7Ck/bAQilEnYlipBIl4ubhR3R4O2MvhB+2OXbsmLsfGd2B8Efs++G9o6PhHFbOo63wF9tyPhFIFjFqaWmytjbe4ddz2bazZ89JXFlMBtiD4cLYmHvOvweV73kO4zNdCTrjU/lf2JdOXToa6BDA71q9ek14kshZIsHNr5ni4rqg6eAc7Nixw81HY3I8Dxp+aHD6+RFhkjwRBV4QzI8UwgCYD8E+ekB5uOGkMOeJ+RI4KGz8gHHcmjVrbO3atbZu3Tr3wyYml3TYGRszh6229kggHC4454MnT35+gfuBwonlh4tjH3vsMbdiqphc0mFnolepwDl99dVXnbOKbXFSua9xasTkMlE7EyW+EohE2sC7777rFjninkZYgE+HjoGHH37YLYLDPc41xORBJ92V7Lxs2VL72Mc2uQhTa2uL9fX1ByKC1+GE9zPHkQZChJf10+nDdxUV5cG9Oys4b4aVl5fZ4sXVwf28LhAW89UpMMn8+Mc/tkOHDrl7Glsh/OgI4J5jUaL16++2+fOJELJAFCLxI/uO538x1BjbzptH59+ioJ0sD9rJg+EFRc6iCKO4bnDw2XD4eUDRm8nDh+/4AcIxxClkeX1+ZOitoicL6O3EufQLJeDE4IAgEunF5qHFMBd6uBnGxsMNJxWnQ0wu2Ab73oid6bVm3mJfb2/gqEx3zkpBASswfhRlZuNYbI0AEZML9Y8DgS2xVWcgBvsHsHPehO3M31TQXohUsP+b3/ymizgRfRKTj7/XuJ/5ix15Jyr3KMPPli9f6u5BtivBIjOxWPguSp4RRCl5hnM/0144n/aCrXnOs+AKQxlZvTF5k8C4eXA/w3jPbbaFCxcGv6tEi8P1AgJTWklJeD/znCZyzDl0CISLC4W/ByUlxU440onLAkdz587TPX0LYAVqViLmWYxdGLXhbVdZWeFsUx58RjBi22T7jud/cW+XBc8CfodZ0Ojhhz8TXkzkNIowihuCHxAeVPRcJjuQOJQ8sJibxo+W/8FJ7oH2Dyvgh4zzSYc0EIw8/MYKS/VQTz7Dw0OB/fJuyM78GJ0713B5yCm2jUZ/c4EFzuVY9wMX/BW3nvfff9cJ+2nTSq7pfh4L9zdODc8Ler7FrcU/txHx4SI3zG/rtUjgVE4vm26f/vRnE0dOHBzXse3Bb6y2iCCZMSNXF0fhOXdrplLwzB7vuU0E+ErQGYCI4LnN/UunAP/zmzA42GcF+XlWETwPZs6cFfxOzw1+ryUYJxsix9zH/MZyX2Mfns+89uRKIAzH878GBwcCGw8E7aTQPv7xT7pjhJBgFEJckcHB/kAwaGESIbKNUBCMOmeztxdnsd+WL9dw8PRz6wTjzaCvr8emT1enXrbS39/r5qguWaLOPfEREoxCCCGEuCFwJYhsCCEyG3UIiFTotRpCTCJNTY2JT0LcPNQPKCYbiUUhsgOJRZEKRRhFRsIcRy2WIERqmMei+b5CCCGESAeKMAohRJYhsShEelCfuhBCKMIohBBCCCGEEGIcFGEUQgghhBBCCJESCUYhhJiCMA9RCHFr4HUjQgghQiQYhRBCCCES8AL0SETukRBCePREFEIIIcSUYGhoMBBswxaLxRLfTD4sGpWXp9eECCGER4veCCEylq6uLmtvb7fe3t7A0RxyTmZeXp7bcPpKS0utqqrKZs2alTgjc+DVMYODg3bp0iU3PHXmzJlWVlbmypQLYNfu7m63YVve84ddCwsLbNq0aTZ9elmwTXf1QUSopaXF1VlFRUXwfakVFxcHbSC7X73Dzzcb5R4eHraenh5ra2uzgYEBV1+0lwULFlh5ebn7f+y7Ejs7O62hoSGo467Ea4pIazhx75TbPfesDw+cJJLLg837+/vdPU7e5s2bZ0VFRe67/v4+6+vrDY4bsdWr1ybOTk0sFg7t9hFDnhGk3dfX565FW4pE4u5eo3pKSqYH7WnUtT/a25w5c1w7uxLko6CgMPGfEEJkHxKMQoiMBCGBs7tz5047efKktba2OkcQpxInkG3JkiW2adMm+9jHPpY4K3MgytLQcNZ+9atfOSf5vvvus5UrV1p1dXXiiJvLrXyXI846Nj127JjV1tY6MYjYQQRWVpbb/PnzbcXylbZ02TJXHwif995714mANWvWOLvj6JeWXtnRz2T46Ub8MNeODhPq7MSJk7Z9+3Y7f/68Ezu33XabPfroo3b77bcnoma/OajowIED9swzz9ipU6ds4cL5Nnv2rKB+K9yx/f2DgdhcZA8++KBLZzKgPIhFysP9XF9fb0eOHHHC9zOf+Yzr+Dl37lzQHpqdyC0uLrTPf/4LibNTQ8QSCgsLgzozJ6xJ+/Tp0+56NTWLbebMGUHd0NYj7rtz587bjh073Dmf+tSnbOnSpS6N8SDPei+wECKb0ZBUIURGgqA4fPiwcyqJquAIehA7RFlwPBGWmQhlIGJUV1dnx48ft+bmZiccr7c8//7vz9hPfvJcUGcHA4e5xTnc/f29QT31BaLsiH33u9+x73znO3bo0CFXdxMFBzvdYE+EAmKxo6PDRXCGh4cCEc027CKKg0NDroOA6yMU6+vPBHV1MqinS8H/Pc6JzyaSy0OZXR0MDriydna224ULF5yYunjxoquz5PthPBDaBw8edFtnZ1fiW3P1SWfMiRMn3N/GxsbEnptDPI5QHHFlot1j497eHmtqanJ5QNyRp48g2px/OWp4JYgwkj5ikXqjXmhfdEYcO3Y0ENptCcFXaEVFxQnheG2MCdwKIUTWkf93AYnPQgiRESCgiLwhKhiSSATkE5/4hD388MMuorh27VoXFSASxX4iTpnE+fMNznklEkIUCCd3xYoVblge0RaipxOFtGprDwdCqsmJrpISzmVY3kAgOPrdUDyGIlZVzbLly5fZokWL3RA8okxjhzCmAkc/3ZFIOgK2bNniBM1DDz3k7HrXXXfaunXr7M4717m6mDt3rs2YMdMNQe3q6gzawmEnoBYuXGCzZ8+2yspKKy5muGF2ePOIHR8hpM4HBnoDUdVtPT3drjPh7NmzrjOBcq9Zs9Y++clP2ubNmwN7LkoMu/ztIamc88EHH7hI2u/93u+5aCL1h3hqa2tPtA1z16VNXG1o5vVClBTbhYvNRNzf7u4eF1lGBJN/bM/wWu5nhmdj4xkzKl27vRKIT0QgbRQxSqcLInjbtm1OOC5ZUuPaUklJOIyZIc9EprnW8uXLXaSaUQtXg+tczxDo1tZmV7+I37ERYCGEmCpoSKoQIuN477337Nlnn3Xzm3By169f74bd4UQCETKiLEQYvRNaUlLsRBLCCYd4yZJlgeNZ5Zw0IgxEMDiW/+PxMMpBOj09RDYiVl4eDtXju4/SLLFZs6qco8icqiVLrjx0bSLs3bvLOa5z5sy1+voGe+nFF60vcHIRAAiBuXPnOAf7/Plz7pqFhczVK3T5wbHFoS4vL3P5RVgQcTt58oTt2bM7cJb7rKa6xqpmzXJOOA733Lnh3LC+vv4graKgDuc6AUF9jI5Grzocj+gPIhahAtiEyCiOOUKXnxjSI1+rVq1yx1wJIoVEvF5++SVnp6985Y+dWCBKhFPt54oND4dClfl5lO+nP/1pYPN2u+++DU5Qzpo1xwlG5qMxXDAU2iUuL9HoiBNa5LOnhzYy6mzoBRV2nTFjRnBefiBkwrluCHjaAbaPRskLwx2HXHmxB+1r/fpN7vx0c/DggUAwxl3bpCxFRUTDCgP7DFt3IJYZglp79HhQ/k5X5vnzF4wZmpt63iti8R/+4R9cmf7rf/2rIP/3BHbvcVH7Xbv2BGKmLai3clef999/v7u/qGOif8PDgwnbFgVCsswJN67NvYTtuf8Q8l1dHUG+I24uMffbzJmzgvyUOFv6SCnRbubqch72Db/rcYJ2//79rgxPPvmku8e5p2mbHIsd16y5M1Ga1GzbttUJQEQh+SUSSyfMli3/6f7/1KcednU1cyYCdIZrT5SB6Cb1jeCm7XAs9z4ik3aD7RGgtBnuJdp/QUGeE/IcW1xc4toUx9BewvP73dBh6o5judacOfOtoiLs3KBNkz5lJH2Op1OA+nvkkd9JlEiI1NDGiKhn+9xtcWuQYBRCZBQMRd23b5+98cYbTuh8+ctftnvuucc5XwgtwElDrOD48YjDwWxra7HGxvPufBw8IpE4g4Bz64e9EUUhgkF0Eufy9dd/YS0trc5pRqAwPA+HEWdy8eLFtnnzpuCcUjcPjIhYfn7E/Y+DjBhbuHCRc6o7OzsCBzhw7GtrXV6Zk7Vs2XJ3fRz+Dz/c7iKKOK2IwurqRe7///zPLS7Ss3HjvS7iQd5wxHF6T5+udw4oYg/nm2gbAo+5jmvWrHbi4syZ04EI3WNvv73Fzf1CTCByEZQrV66wj3/8467eDh8+ZLHAsV19x+qgbAVBeU47MUV9IBRqaohUFTsHtr29IxCirYHTPhgcm+8in0R1geggwwgRHeTN56umpsa+9a1vuWOuxKFD+11dbt261dn3c5/7nIsgI9jYEHzUPQIKZ50yUqc/+cnzrnx3331n4ITPdmJ3YGDQRd2mB4JhxcpVLmqEY5+fn+cEx5kzZ4J63+nmrJFP/3NIuyA6R8QV8U0HAmUmfYZ80k64NgKCtkGaGzasD8THI+78G4H6pa0g9OncaGpqcddobW13wiOsy2q76651gZApDfZfDNp0ne3Zs8+1L9oKIo+2cvfdd7vI+3gRduY7/p//878DcTJof/Znf+rSJOrM9c6caQhEXFMgSHtsTiC2aCfU2+7du1z7o46JxvX29gXln2F33LHGCR/aDBE8hB73Ch0v1GFN9WJbumxpQszPcsKQexTBTVvZv/9AcL9ddHbD7twH7CcN8o9gxC4M0eZ+IfrIfUY7nx2059FAtCOYz509ZxcD8UmEtKuTzotemxu0zwceeMCly5BrOhjocOH5gBilc4Y2TIfP6tWrXZshws3xjz/+uGt/PFOIdlJntG+EHfanHZCve++9N7iflzqb0IHQEbT9zqCeEL4cR7koa2PjBVePy5YtCa5XE9hyievcmDYNWzYF7XHH5fRpZ1x3zpxZgZ3+b8JqQqSGdheOIsneudvi1qHxD0KIjAEnCkcRgYdQQDzh6CFovFgEhB1RIoQZDjbDMMOVD4nGNDpHeGho2Dl7RI1w6BCTiCtEIk4eQmh4eDRw3k4mxNlpJ+DCnn+Ob3TzoHCMmQuFM4joIE2caJy+48dPOHGJY0rUoKmJaN/JIK0z7hhPmN4FF1GhjP39A04cpJqjRZbJW0FBUUI8hUNHETtci/SPHz/mrkWEIhRXLCTT4cpPeXEoiLqUlpa5zzizLLBTd6rO2oIyErkkv9Q1w39Pnz7l6osIHecg1oh+ci1sgfii/Di8iDAca74D8kVa1N9EoEzYEpshGKhHxAR2QNiFjjpCNc859PwN58CNunrs7OgK8tLt7B1GqrrtQiDysBVCNBR7rKJbEGwf1R/gnGNfrhEef9rVDXXN9wgaOiuwOXXjIpPB+eSZ9Hbs2GbPP//vgXP/v+xv//Z/2N/8zX+zb3/7W/bf//vf2N///f+0f/nn79gvfvFqkMauwN5ng3rpDtIfcdcG8kvdYsdTdaecEKQTgutQRuoUMVYX7CMviCHy5iN7w0Ee0bzUybURcfdMWPclTpiDE9CJusEWzc0ttnfvPlcHCDIf9aQ+aa/Mg8RetAvqnXolb+zvCMrBPUMbJ5pI2wyHEh+xw4ePuHbkI7fUA/eav9885IFOCNJBZHIfk8VokA/aBm21vqHenUd95AfPiLxAnEEY6YtaPLgZKCtiEyHLc8K3I+5froH96YSgDfhoIvbmmpSNMoQRzrC9sI9ycP3wuZJvXUH5uadou7VHal0nAPXJtQcHh5wgP3XqjGurnEP0n3SoP9op9wx54l6gDp955mlXDiGEuBVoDqMQImPw0QgcTiIpDDNjOJkfijoeOGg4p01Nze58oht33nmXMV8PhwyBiCOIoMI5Y24cEUacOVZLRGQQsbnjjjvciqtEHHAuGdZItIOhZERzeA1BdXWNcwC3bfswcABbbe1aIl5znXPP/zi2fk4WYhdwgrk+TiIilwjM4sXVLt846JxLlIUIGcP6iOQQ1eK7u+66yzZu3OgiHNQD+enp6bI5s2cF5agM0gqjbceOHXdD6x577Iv2yCOP2IYNG11UaMGC+c5Z37WLyFGX1SypdtdnGCNCBeeV8qxefYeLpDDXq6WlzT74YKsToZSDlUqxB448wpA6JSLF3EPyhZ2IzH32s5915b0SRGMpLw77iUBwHw+EIk40Aol8UicIEfLnOwloD/v27XUON6Knqmq2s++ypcutOBC5oYNe75z85ctXOttyHPVBlPjOO+90+cSG2Bb7cE2uh92pa9oIaWzbut26g/zde+99du/Ge21tcO6KFatcVA/7Hjhw0F1v06bNrg6IfhNppq66gjRoe4h1hv6G0c7fnit69uw5e+NXv3IRw9Wr17gh13fddbfLNwLSi16EHflH5FE/pIWdWFGXa9M2iKBR1lQgPt99992gLUcDW33SVq263dmXdo/QwWZ0uHBdNoTUO+/8P1cv69bd5YaDcg6Rctok9f/hhx+6PBLBJ7pJ2yS6jLjq62Mhqn4n8qgTBOabb77l2s3dd693eabeFi5c6K6F8EM8UgbaGdFubM39gpDjXqG8CLEdO3Y5AUa9ENXHPvfdt8nVG/alnqjvmVVVga2mOxtxX37qU5+2Bx98yN3bHIOAZE4okUg6pahLvvMCkuszeuDTn+a8cAVZjmMYNflduXKVqzMiw3SqHDx4yD0fyAujBG6/fbVrX+HxbUH7WuHuadomnVlch3bNvcJ9yvWx49Kly5zIpgxCpILnCJ0M195hJMTVUasSQlw3OGoIJxasaGtrTnx788DpRJjgROJUIRpwkidGGIVDBCGgOM8PcyQ6NDJCtIBhrFEXOcHxDKMn4escEGPLli1zzhvOK0M/GdZJpJCIIA4wziIOYGXlTCcQcOJDgRNGYcjD1cCZ5liEE/nC2SQN8sT/5BeHEyeWfCU7B0RHcFqJvLS1twXlGXJ1hJPJ8QzzY7gqzj5ONGIIR5/rcR3Op444Fqcd4YiIJU3qnbxRBuoQZ5+Inp/3hYOPGPfDBbk2afl8ITImAnWKI88c04WBoKceqGOceMQo0b29e/c6Qec7DrhOOE8MwVnsyrRgwUJbEjjZiBk6ACgDDjlthzqkY4CNuiTChJ39sFTKzNBHxDKOfBiFDKNofYGtsQX2Zpgr80oRRHxHBA6RgOAjwkadUle0D8TkxYsMM20N9jHPzZx4DNtFCNcmMoZgvnixKRBuPW5u4G233Z4QaGucOMfu1AcdIJQXwcE8QsqN6MHGDK2kQwH7j4ePqDGUk2jqkSO1dvQoEWWidG0uj3RqhB0FJS5vYWQt5uqUDheEzLx58139IeSwEUKUOiR9NtoC1yC/RNL5yzBqNuqEv+QbYbxhwwY3vJn2R7tCjI0HbR8xzH2LmMe+1AP3IEKS+5T0qDcEL+2Z+mNYdnFgc+ZSMkSWewHhxzUp51gQ6LRtBDR1T72SNp0MCGL+5xhGJyBksTvPEWzv73//fGDRJoa+jo7GgvpC/A+446lT2ib1RpsmHwhl8kv65G32bOYvh++VFGIs3IP8RghxM5BgFELcMIgvIhMMq2IeRbaB84bjxsZnBIaf54gjh1NN9ANnkv1sPqqDE4hTjuOcLrwDy3wqFnv5/ve/77aXX37ZRSgQb4gOBF24+iRCcPzrM6eKIaDku7iIl+JPd5FJhCb5xollIwKJGCSCBIgRnHocd4ajIrDYdu/e/Rv5euWVVwIhctSdczVweqhXIizMW3viiSfcZ0QQgoXhkG+//ba98847Tjz6vAD5Qbyx8Rk7IRIoBzagDKQBlIuyMFfyxRdftB/96Ef2r//6r/bcc8/ZW2+95SK+4XDQj4aMYl+ceCK9pOsFDfWMmPCCmXmclPkHP/iBK/8LL7xge/bscUN1uSaiwucjGa5FHSPKuBZtjGgWESsfEaUeEFeUhTpHXFwvodAO5+a99tprl+3FCsQIXto1kTcWK+LalJW/5Ik6oC7Ipx+WiWAiT9ia9KhP0qNOWaiKCB37qVfaKO0YwZ6qnHRmsPH5avj6Jz3EFYvjYBvaUuhE0zlU5DbaKgKzrb0jyMPEXj9C+RDopI949vkir7Qt2gIdJ9QFtqPusCVlo544h7Kxn3P4nuNJg7S9QGSjLAhuFiT69a9/7SKdlI32wrnJHURCCDFZ6MkjhLhhiMAQ6SByw+d04qNUgOOHs4XjhKMVRjsm1uPuncdUcI3kbSw4mjh4bHwOBXI4RxKHEccPZxCHmryxcQzXI384e6R7vdf3IHJwcInk4HwzZwrnm2twnneMyQfXJLrhBQ/RlHB1yvC1DIhIFkhgQ+TjiDqnOigHQxwRjTi5lI/yECFEWCCKuD77GWpK2SkXzjQbxyLWkiNDHIOTPRFIyx9PxIkheURyiAIhBsgPTjURRj/HzEP+ER9s3k7khTZDHdFmqEMcdAQAjrmPHPGdrwPO41iuk9y+vGCiXrwg5RzqmnzQHjmG63n7A20FkUeZEA+II84di88jNiYdLyJoWz5vXlhhV+o7lfC8EcgztiWa7qOUfo4wZaJs1AFtn+PIJ/mm7NRXch3ymfQ4B/GJkCc9hCbfU4ax5eQ82lCyHa8GdYCApt64R8mvP4/rkA/S9TYhv0St2YgEXg3Sp65Jn7onX/4ep2w+//xPmWhLXINj/D3k2wR58WUmjxzHRtnJt+8Q4JoM1aWd0wlEBwb/U8dCCDHZSDAKIa4bnK9UDtmN4EUTjj1/k9PDwcIhxNnCQSdKMZEIgc+nT2usKON/HDQct1Rw3tjy+fTGK7f/35fHH++/S+Zq1/dwDOXGcWQhHoZZMqfyT/7kT+wb3/iGi8axuidzuFjQJRzqhjNa5Jz02bNnBXkgIsNwQKKGPcHWHTj7YWQYOzIE1At/RBFDbzmXCBILe7AhthCL7EM0AGXAMWaoHiubfvWrX7W/+Iu/cNs3v/lN+6u/+it33EShrnCiuTbDBhGNrCz7xS9+0YlIBAqCD0fewznJ9kjevB3YiAD5RUpw8En/S1/6ksvr17/+dfvCF77gBI5vgx7Swdln43MyHIeQwuFn7h7R0eTy/+Vf/qWz06OPPurmNdKObzWUgboics5qoD6/5JP6oG1R/174Xa38iCIi7tjqD//wD3+j/E899ZT9+Z//uVvVmLmKROVuBeSbvGJ3Nmx8s/D1O/b5wGe/kRf+8mxDpFPvf/AHf+CG0nJv0cZ5ZyRRX/5yzwshxGQjwSiEuCG84+OdyhvlSunhVNELTw8/4omoF0PcxgpHRBI98UQdEAeIC5w2HF2OYx/n4yxyLFEdhgKy4USmwucrGf/d2O+TwSGkLIifG7k+cCzRC6KKlJvzEG04lyzYgvBBtARXdcf6eY/MlePa5MNfk3x5+J+VRwcGWJGSug8dXBxW0kccJgtGPicLRtL2kRTEPPZhThj5Yo4XG9HCq0HeKD9lRAjymXojqoYQ8cNNERscSz2S92TG2sN/pry+zKTP/EfKwX7Kwjw35qcSBfQRKq6RDMdSh2PbJuUn4sbGedQFwhFh6Bck4q+Pko4XYaSNUl720T4oH3nFzuSFtuMXfOEYX/fXiy8PdiOaSD7ZyLdfBIZOA1/W8cpPvskLG1E12iDix88h9G2A+qWNMuSYa3JsqnJid9o420Q6hKgDrkmdcA6iyp+HzUkzvB/CVYzZuAbbWBungvQpG+lT9zx3/Lnk2eefa1AmH00Ef72x+O98u2SjDNw31D/2oK3TlkibCCMdHFxfCCEmGwlGIUTGgBhhThAOJ44ZziFOFMO2kh0pnEWcOoYaMowSQYnTh8OHiOQ8nDCcPi/WiNpxPM5fukl2OG/k+jiolA0nG6ed9BAYfPZigiX/WfyDhVZwWplbimBklU8WHmEIHq9i4HUarOxZVlYRHFcY5CF8vyJRSe/MkmcfYSSqmCwY+Y59CArsgqDDuWUOHzbxTjWOMI40ov1q+OOoH643tiPAl5FOAOxP/q5HMFGP5I3rUX+UgXQQqSzawjxM2pN35K8GAoF2SfkR8pxP3r2I8MKC9Mk7f7HhWCgTQor8cDz14AUi+eU80qatIC64D7j2rYY6pD1QftoycxlpIz7f1KEXhuznL2XEfr6ctJfkcmIHNj5fDf9coE5o/15YefthA3/fcE+w8Z3P29Wgjok4kz51T764jzkfe2IjysA1KBP1gC0nCnmhHnx7oW7oWKATiJVYWQSINjTRERVCCJFuJBiFEBkDTj1OG84bERwvZFiinoVWeAXGzp073QIjDNkMX5XBC8+jzqnEkeN8nC6cSl4lwSIqrIiJI8txE3EgrxWf7xu9PsLQCxzSwonEefXvBhybDqszIhZ5fyLikKR5NxyLsiD8WM0TgUhEkfmOOPKc6/FCiIgejjtiCMcex5soIvVPfqhb5uYhGvkfJ5r5hZSPDdtgExaYIY/jOb5eyGEzOgEoF+djU/5iU74nffJFFAsH/VpBaJN/IoI46ggc6sOnT/SR78dG0saDMhOVRMAx1JT6oZyUO7kOmItGHVKXyfXs4XrUOXmjPikbQxI5l40FUBBE5I3yIyqup/zpBnFEe6Q9UAfUL3NDsXlyHZB/OhQQW9wTlJM2Q/vh/Z2+nrAFnSccl0pYjwU7EpFjaC1ti+v4a7NR79iU9h12ooRzdGlrPCO4d7gfaQepOmy8gKPOqXtswDV8fvmf9LAZZSJ9H2GcCLQFrovIJh+kTfuhDmjrQP3Stq5FiAohRLrQexiFEBkFDjyOtZ/LiGD04gLBiAOHgCQSgxPGcEPvyOOYMVwN0cN+7yjilOOcEt3BgeV4NqIGvFcOIcOQOobo4bCRLg6oj/4gAllJ0s/LwilOPs+vropIupbr8x3HcB5D+djHNSgH1/DRLI5hZUocV/KG00pefTrUGY4nGw4ywghBx//sJ6qXqpw49Tj/OOFcgzIjjogsMleScuEYcxzlwy441NQJNsGhxnHnNRg4wZSb4Zjkj3Q4LxnKRZSFqDDztcgT55KOTwMhwjUZ7sgwV5x0RHJyPVEmRATpIwqoK/LBeczL4xz2UVeICb+oCOKbvGNX6pK8Mh+RDgof9SRviDquz/dA/VJPXlx6IUJbpF1ybfKHvRAWtEX+cs5YSAOxT/7464Un6VCntAmuy9BRVgOlzZA37IkdaR+IV8Tb1cQkZXz//ffd54ceesiJolQg2rALggobkDfmkVKPQJ6pW18PQF36cvOXDTtwHLahDjiW/0mf+8Dfu5xLOyI9bEqZqG/Kk+q+o7ykSVpcg3pCdJIe1yUqSHvjGM6hnmhHCDTqwItFvkccknZyOWnnnAdcnzbAOaRNfml/tDvuHfJDPrD1eM8H2hHpU6ekTV1QVtLdsmWLW1GW9u7Tx74MT/XDzhGPQggxmUgwCiEyDhw5nCYcTpw8HH8cSxxPRAtiB8cPx5o5aQgI7/BxDM4ZDikCBecfR5JjiFjhNCPMcLhx/HEqcUiZV0R6XJs0uCb44WqIKO/IIcSSzyNtHFYEwLVcn/04nYgC5jYR4fDOJdf36fGXdLg+51Lm5HS8E8951Bfl4jv2EamlTKnK6TfOQehyDRxX5vvhwHM+aVLnlM+LBvJDFA2H2O/neqRP3jgvlWBEsFJm6g/HHHHE/6Tn06CMlA2xSFrYlesk1xP5R1yQPueSDmKV7zmPTgSuz/X4nvrgWN9muAb7cfJ5AT2OPu2L4ziHYxBrCF8gb5xP+ckj/yMUfBuhDtjH8bQTrp9KMHKc3xDgpIlYoP75jvzRBiijf1eh78BAtLAfsU/+ELvY60pwDuKF4xFG/E2Ftwv58IKV+YjYE8gbZaaM5CE53x72U68IJNo6dUH+2DiP4ykH52JTxCjH0d6xN/VNnaW67ygr+0iHevf3Fht5o13Qbql37jXaBOmwj8+cR95IhzT5P7mc/PUdIpSJe46N9Mkv+WSuJlFOf0+kyifXAO4NykteuOdpXxzH9whe2j/4dsX5iEXqgDqnbQohxGQSCR6W6R9/JYQQNxHvwOJgIRRw7nDovYOIw4ejhRPpnUkcaxxJBAIOGY6fd/g4HufMC02O90IEB47HJI46Dh/HIhy4Jk4haeL44/ThVALppzqP9K7l+pQJ4cRxONh8h7PINRFwpMNn6uNK6ZAPHGmOZ/MCyQtVzk+VX+oSOJcoDWXme38eaSdDXkif49nIP5AOG/nBoeY88khekyEfOOJch/L5oZt8z/kcz/VJh/rmL+lQl6nqieP5jjwxvI80EFTspw7II4LJCxvqBBtyPfbhxCNWuA62Iz+ILI7Dief7ZEiTYziX4zgnGWxCvn3+SCcV1AFti3RoL3zGNhxPW6P+SYf0KBP5p764Pvn3tqdurgR5JLoNlBNhlQpvF/JD5Ix6RdCRj2Q4hjKPzTcbkDcEIOeRR/Dl5D7mXMpDOal7ruPLRH1TnlT3HcdiZ+retxvO8+2G8zmO61LvtEs6SLgun7kOx1BnHEM5ksuJvSgD1yXaznlcn2v69HnOcC554bpXej6QP9LnOtS5LyvHk3/fHj3sp12TPmlcza5CCJFuJBiFEEIIIYQQQqREi94IIYQQQgghhEiJBKMQQgghhBBCiJRIMAohhBBCCCGESIkEoxBCCCGEEEKIlEgwCiGEEEIIIYRIiQSjEEIIIYQQQoiUSDAKIYQQQgghhEiJBKMQQgghhBBCiJRIMAohhBBCCCGESIkEoxBCCCGEEEKIlEgwCiGEEEIIIYRIiQSjEEIIIYQQQoiUSDAKIYQQQgghhEiJBKMQQgghhBBCiJRIMAohhBBCCCGESIkEoxBCCCGEEEKIlEgwCiGEEEIIIYRIiQSjEEIIIYQQQoiUSDAKIYQQQgghhEiJBKMQQgghhBBCiJRIMAohhBBCCCGESIkEoxBCCCGEEEKIlEgwCiGEEEIIIYRIiQSjEEIIIYQQQoiUSDAKIYQQQgghhEiJBKMQQgghhBBCiJRIMAohhBBCCCGESIkEoxBCCCGEEEKIlEgwCiGEEEIIIYRIiQSjEEIIIYQQQoiUSDAKIYQQQgghhEiJBKMQQgghhBBCiJRIMAohhBBCCCGESIkEoxBCCCGEEEKIlEgwCiGEEEIIIYRIiQSjEEIIIYQQQoiUSDAKIYQQQgghhEiJBKMQQgghhBBCiJRIMAohhBBCCCGESIkEoxBCCCGEEEKIlEgwCiGEEEIIIYRIiQSjEEIIIYQQQoiUSDAKIYQQQgghhEiJBKMQQgghhBBCiJRIMAohhBBCCCGESIkEoxBCCCGEEEKIlEgwCiGEEEIIIYRIiQSjEEIIIYQQQoiUSDAKIYQQQgghhEiJBKMQQgghhBBCiBSY/X+negEhWNncVwAAAABJRU5ErkJggg==" alt="Gini Normalization2">

橙色区域的面积,就是我们得到的Normalization的Gini系数。

这里,由于我们是将预测概率从小到大排的,所以我们希望实际值中的0尽可能出现在前面,因此Normalization的Gini系数越大,分类效果越好。

参考:

FM系列

个性化排序算法实践(一)——FM算法

推荐系统算法学习(二)——DNN与FM DeepFM

Github

个性化排序算法实践(三)——deepFM算法的相关教程结束。

《个性化排序算法实践(三)——deepFM算法.doc》

下载本文的Word格式文档,以方便收藏与打印。