{
"cells": [
{
"cell_type": "markdown",
"id": "50877cf5",
"metadata": {},
"source": [
"# 附录 A: MCMC 推断 \n",
"\n",
"\n",
"\n",
"【原文】 [MCMC sampling for dummies — While My MCMC Gently Samples (twiecki.io)](https://twiecki.io/blog/2015/11/10/mcmc-sampling/)\n",
"\n",
"\n",
"当谈论概率编程和贝叶斯统计时,通常会掩饰统计推断实际执行的细节,本质上将其视为黑匣子。概率编程好处在于“不必为构建模型而理解推断的工作原理”,但了解其原理肯定会有所帮助。\n",
"\n",
"当我向新手介绍一个贝叶斯模型时,他虽然没有接受过贝叶斯统计方面的培训,但通常渴望理解推断原理。而我之前的回答往往是:“ MCMC 通过构造一个以目标后验分布为平衡分布的可逆马尔可夫链,通过从后验分布中产生样本来做预测等后续任务。” 这句话没错,但似乎没有用。这很恼火,因为从来没有人告诉你概念背后的直观感觉或者动机,通常只是给你一些可怕的数学知识。我不得不花无数小时用头撞墙,直到顿悟时刻的到来。通常情况下,一旦我理解了其意思,事情就看起来不那么复杂了。[这篇维基百科](https://en.wikipedia.org/wiki/Metropolis%E2%80%93Hastings_algorithm) 试图解释 `MCMC` 采样背后的动机,感兴趣的读者可以去看一看。\n",
"\n",
"下面使用代码示例,而不是公式或数学语言,开始建立直观感觉。\n",
"\n",
"## 1 问题及其非直观的解释\n",
"\n",
"首先看贝叶斯公式:\n",
"\n",
"$$\n",
"P(z|x) = \\frac{P(x|z) P(z)} {P(x)} \\tag{A.1}\n",
"$$\n",
"\n",
"在给定数据情况下,能够得到模型参数 $z$ 的概率分布。为计算它,将先验 $P(z)$ 和似然 $P(x|z)$ 相乘得到分子项。通常分子项非常简单,因为先验和似然都来自于主观或经验的假设,但分母项 $P(x)$ (见式 A.2 ,即边缘似然,也称证据),会发现它来自于对所有可能参数值的积分,除了共轭情况外,在大多数情况中,边缘似然是很难处理的。而这恰恰就是贝叶斯定理的关键难点:尽管公式足够简单,但很难以封闭方式计算后验结果。\n",
"\n",
"$$\n",
"P ( x ) = \\int _ { z } P ( x , z ) d z \\tag{A.2 }\n",
"$$\n",
"\n",
"\n",
"\n",
"\n",
"> **提醒:** \n",
"『模型参数』通常是机器学习领域的概念(常用符号 $\\theta$ 表示),但在统计学领域(尤其是贝叶斯领域),通常称其为不可观测变量或隐变量,并用 $z$ 表示。\n",
"\n",
"当我们难以简单地解决问题时,可以尝试去近似它。如果能够想办法从后验分布中抽取足够有效的样本,那么就可以利用这些样本来进行后续任务的近似计算。但新问题出现了,根据 CDF 采样原理,要直接从后验分布中抽取样本,不仅要求解贝叶斯公式,还要求出后验分布的逆函数,这就更难了。\n",
"\n",
"能否构建一个可遍历的可逆马尔可夫链,使其均衡分布与后验分布相匹配呢? 这听起来很疯狂,因为如果你无法计算后验,不能从中取样,那么构建这样的马尔可夫链肯定会更加困难 !!!\n",
"\n",
"但令人惊讶是,这个想法非常容易实现,并存在一类通用算法来支撑,被称为[马尔可夫链蒙特卡罗( MCMC )](https://en.wikipedia.org/wiki/Markov_chain_Monte_Carlo),即构造马尔可夫链进行蒙特卡罗逼近。\n",
"\n",
"## 2 问题设置\n",
"\n",
"首先,让导入 python 模块:"
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "3752102f",
"metadata": {},
"outputs": [],
"source": [
"%matplotlib inline \n",
"import numpy as np \n",
"import scipy as sp \n",
"import pandas as pd \n",
"import matplotlib.pyplot as plt \n",
"import seaborn as sns \n",
"from scipy.stats import norm \n",
"sns.set_style('white') \n",
"sns.set_context('talk') \n",
"np.random.seed(123) "
]
},
{
"cell_type": "markdown",
"id": "697f1e46",
"metadata": {},
"source": [
"先生成一些实验数据,以零为中心的正态分布上的 20 个点。我们的目标是估计平均值 $\\mu$ 的后验。"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "7151b8da",
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/opt/hostedtoolcache/Python/3.8.12/x64/lib/python3.8/site-packages/seaborn/distributions.py:2619: FutureWarning: `distplot` is a deprecated function and will be removed in a future version. Please adapt your code to use either `displot` (a figure-level function with similar flexibility) or `histplot` (an axes-level function for histograms).\n",
" warnings.warn(msg, FutureWarning)\n"
]
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
"filenames": {
"image/png": "/home/runner/work/BayesianAnalysiswithPython2nd/BayesianAnalysiswithPython2nd/BayesianAnalysiswithPython2nd/_build/jupyter_execute/Append-01-MCMC_Tutorial_3_1.png"
}
},
"output_type": "display_data"
}
],
"source": [
"data = np.random.randn(20) \n",
"ax = plt.subplot() \n",
"sns.distplot(data, kde=True, ax=ax) \n",
"\n",
"_ = ax.set(title='Histogram of observed data', xlabel='x', ylabel='Num of observations')"
]
},
{
"cell_type": "markdown",
"id": "05350f5d",
"metadata": {},
"source": [
"接下来定义模型。\n",
"\n",
"在这个简单示例中,假设总体和样本呈正态分布(即模型的似然是正态分布)。正态分布有两个参数:均值( $\\mu$ )和标准差( $\\sigma$ )。为简单起见,假设已知 $\\sigma=1$,想要推断 $\\mu$ 的后验。\n",
"\n",
"根据贝叶斯原理,对于每个想要推断的参数,必须选择一个先验。为简单起见,仍然假设参数 $\\mu$ 呈正态分布,且均值 $\\mu_\\mu = 0$ ,标准差 $\\mu_\\sigma = 1$ ,即将标准正态分布作为 $\\mu$ 的先验分布。从统计学角度,模型是:\n",
"\n",
"$$\n",
"\\begin{aligned}\n",
"先验:\\mu & \\sim \\operatorname{Normal}(0,1) \\\\\n",
"似然:x \\mid \\mu & \\sim \\operatorname{Normal}(x ; \\mu, 1) \n",
"\\end{aligned}\n",
"$$\n",
"\n",
"该模型较为简单,实际上是能够获得后验的封闭形式解的,但在此我们为了讲解方便将采用 `MCMC` 推断。\n",
"\n",
"> **为什么会有封闭形式的解?**\n",
"> \n",
"> 因为对于服从正态分布的似然函数而言,参数 $\\mu$ 的正态先验与后验是共轭的,可以较为容易地计算后验。有关共轭先验的知识,请参见[维基百科](https://en.wikipedia.org/wiki/Conjugate_prior)。"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "caf841e3",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"filenames": {
"image/png": "/home/runner/work/BayesianAnalysiswithPython2nd/BayesianAnalysiswithPython2nd/BayesianAnalysiswithPython2nd/_build/jupyter_execute/Append-01-MCMC_Tutorial_5_0.png"
}
},
"output_type": "display_data"
}
],
"source": [
"# Analytical posterior of Guassian\n",
"def calc_posterior_analytical(data, x, mu_0, sigma_0): \n",
" sigma = 1. \n",
" n = len(data) \n",
" mu_post = (mu_0 / sigma_0**2 + data.sum() / sigma**2) / (1. / sigma_0**2 + n / sigma**2) \n",
" sigma_post = (1. / sigma_0**2 + n / sigma**2)**-1 \n",
" \n",
" return norm(mu_post, np.sqrt(sigma_post)).pdf(x) \n",
" \n",
"ax = plt.subplot() \n",
"x = np.linspace(-1, 1, 500) \n",
"\n",
"posterior_analytical = calc_posterior_analytical(data, x, 0., 1.) \n",
"\n",
"ax.plot(x, posterior_analytical) \n",
"ax.set(xlabel='mu', ylabel='belief', title='Analytical posterior'); \n",
"sns.despine() "
]
},
{
"cell_type": "markdown",
"id": "4329f4a7",
"metadata": {},
"source": [
"上述代码显示了我们的感兴趣的量,即在考虑到先验信息并看到数据后,参数值 $\\mu$ 的概率分布。但需要清楚,当先验假设并非共轭时,很难获得如此简单的封闭形式解。\n",
"\n",
"## 3 MCMC 采样的代码说明\n",
"\n",
"现在来理解 MCMC 的采样逻辑。首先找到起始参数位置(通常是随机选择的),让我们将其随意地设定为 1 :\n",
"\n",
"```\n",
"mu_current = 1\n",
"proposal_width = 1\n",
"```\n",
"\n",
"### (1)位置提议\n",
"\n",
"先建议从该位置移动到其他位置,移动方法可以简单也可以复杂、可以跳跃也可以平稳,而当这种移动是平稳时,正是 MCMC 中的马尔可夫链部分。\n",
"\n",
"著名的`Metropolis 采样器`采用了一种比较简单的办法,它从以当前参数值 `mu_current` 为中心的某个标准差为 `proposal_width` 的正态分布中抽取一个样本(注意:此处的正态分布并非源于模型里的高斯假设,而是 `Metropolis 准则`的设计要求),该标准差将决定建议移动的距离(代码中使用 `scipy.stats.norm` 计算距离):\n",
"\n",
"```\n",
"mu_proposal = norm(mu_current, proposal_width).rvs()\n",
"```\n",
"\n",
"### (2)位置评估\n",
"\n",
"接下来,将评估该建议位置是否是一个好位置。如果 `mu_proposal` 对应的预测分布(即根据`建议参数`预测得出的`结果变量的分布`)能够比 `mu_current` 更好地解释数据,则肯定想去建议位置。\n",
"\n",
"“更好地解释数据” 是什么意思? \n",
"\n",
"我们需要按照当前平均值(`mu_current`)和建议平均值(`mu_proposal`)以及已知标准差 `sigma = 1` 分别计算当前似然和建议似然,而后通过量化分析来判断是否能够更好的解释数据。\n",
"\n",
"> 注: 代码中通过 `scipy.stats.Normal(µ,sigma).pdf(Data)` 计算每个数据点的概率,然后将各数据点的概率相乘得到似然。\n",
"\n",
"```\n",
"# 通过所有数据点计算似然 Likelihood\n",
"likelihood_current = norm(mu_current, 1).pdf(data).prod()\n",
"likelihood_proposal = norm(mu_proposal, 1).pdf(data).prod()\n",
"\n",
"# 根据参数生成先验 Prior \n",
"prior_current = norm(mu_prior_mu, mu_prior_sd).pdf(mu_current)\n",
"prior_proposal = norm(mu_prior_mu, mu_prior_sd).pdf(mu_proposal)\n",
"\n",
"# 计算贝叶斯公式的分子项 Nominator of Bayes formula\n",
"p_current = likelihood_current * prior_current\n",
"p_proposal = likelihood_proposal * prior_proposal\n",
"```\n",
"\n",
"到目前为止,我们基本上可以设计一个爬山算法。\n",
"\n",
"该算法从一个随机值开始,只按照建议的随机方向移动。按照最大似然目标,应当只有在建议参数值( `mu_proposal`)的分子项高于当前值(`mu_current`)的分子项时才接受移动,并最终逼近 $\\mu = 0$。 但由于初始值是随机选择的,为了获得完整后验,也需要接受建议值小于当前值的情况,此时可以定义两个分子项的比值作为接受率,用其确定接受移动的概率,接受率越大,则接受移动的概率越高。\n",
"\n",
"```\n",
"p_accept = p_proposal / p_current\n",
"```\n",
"\n",
"以上 `p_accept` 即为接受率。如果 `p_accept > 1` ,则肯定接受移动;如果 `p_accept < 1`,则以 `p_accept` 为概率决定是否接受移动。例如:当 `p_accept = 0.5` 时,即建议的参数值解释数据的能力只有当前值一半时,有 50% 的机会选择接受移动。\n",
"\n",
"```\n",
"accept = np.random.rand() < p_accept\n",
"\n",
"if accept:\n",
" # Update position\n",
" cur_pos = proposal\n",
"```\n",
"\n",
"这个简单程序为我们提供了一个后验样本。该步骤经过多次迭代后,每一步生成的 `cur_pos` 联合在一起,就构成了后验样本的序列。读者应该能够想象,该序列的初始阶段样本显然由于初始点的随机性而质量较差,因此通常会将其删除只选用后面收敛的样本,这就是 `Burn In` 的来历。\n",
"\n",
"## 4 为什么会起作用?\n",
"\n",
"请注意,接受率 `p_accept` 是整个事情得以解决的主要原因。下式为 `p_accept` 的直观解释,可以看出,接受率实质上是建议值后验与当前值后验的比值:\n",
"\n",
"$$\n",
"\\frac{\\frac{P(x \\mid \\mu) P(\\mu)}{P(x)}}{\\frac{P(x \\mid \\mu_0) P(\\mu_0)}{P(x)}}=\\frac{P(x \\mid \\mu) P(\\mu)}{P\\left(x \\mid \\mu_{0}\\right) P\\left(\\mu_{0}\\right)} \\tag{A.3}\n",
"$$\n",
"\n",
"将建议参数的后验除以当前参数的后验,证据 $P(x)$ 被抵消了。可以直觉地认为,是在用一个位置的全部后验除以另一个位置的全部后验。这样,我们访问后验概率较高的区域比后验概率较低的区域就要频繁得多。\n",
"\n",
"将上述过程放在一起:"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "afd99c42",
"metadata": {},
"outputs": [],
"source": [
"def sampler(data, samples=4, mu_init=.5, proposal_width=.5, plot=False, mu_prior_mu=0, mu_prior_sd=1.): \n",
" mu_current = mu_init \n",
" posterior = [mu_current] \n",
"\n",
" for i in range(samples): \n",
" # 提出一个建议值 suggest new position \n",
" mu_proposal = norm(mu_current, proposal_width).rvs() \n",
"\n",
" # 计算当前值和建议值的似然 Compute likelihood by multiplying probabilities of each data point \n",
" likelihood_current = norm(mu_current, 1).pdf(data).prod() \n",
" likelihood_proposal = norm(mu_proposal, 1).pdf(data).prod() \n",
" \n",
" # 计算当前值和建议值的先验概率 Compute prior probability of current and proposed mu \n",
" prior_current = norm(mu_prior_mu, mu_prior_sd).pdf(mu_current) \n",
" prior_proposal = norm(mu_prior_mu, mu_prior_sd).pdf(mu_proposal) \n",
" \n",
" # 计算后验的分子项\n",
" p_current = likelihood_current * prior_current \n",
" p_proposal = likelihood_proposal * prior_proposal \n",
" \n",
" # 获得接受概率 Accept proposal? \n",
" p_accept = p_proposal / p_current \n",
" \n",
" # 一般还会包含先验分布,此处做了省略 \n",
" # Usually would include prior probability, which we neglect here for simplicity \n",
" accept = np.random.rand() < p_accept \n",
" \n",
" if plot: \n",
" plot_proposal(mu_current, mu_proposal, mu_prior_mu, mu_prior_sd, data, accept, posterior, i) \n",
" \n",
" if accept: \n",
" # 更新位置 Update position \n",
" mu_current = mu_proposal \n",
" \n",
" posterior.append(mu_current) \n",
" \n",
" return np.array(posterior) \n",
"\n",
"# Function to display \n",
"def plot_proposal(mu_current, mu_proposal, mu_prior_mu, mu_prior_sd, data, accepted, trace, i): \n",
" from copy import copy \n",
" trace = copy(trace) \n",
" fig, (ax1, ax2, ax3, ax4) = plt.subplots(ncols=4, figsize=(16, 4)) \n",
" fig.suptitle('Iteration %i' % (i + 1)) \n",
" x = np.linspace(-3, 3, 5000) \n",
" color = 'g' if accepted else 'r' \n",
" \n",
" # 先验Plot prior \n",
" prior_current = norm(mu_prior_mu, mu_prior_sd).pdf(mu_current) \n",
" prior_proposal = norm(mu_prior_mu, mu_prior_sd).pdf(mu_proposal) \n",
"\n",
" prior = norm(mu_prior_mu, mu_prior_sd).pdf(x) \n",
" ax1.plot(x, prior) \n",
" ax1.plot([mu_current] * 2, [0, prior_current], marker='o', color='b') \n",
" ax1.plot([mu_proposal] * 2, [0, prior_proposal], marker='o', color=color) \n",
" ax1.annotate(\"\", xy=(mu_proposal, 0.2), xytext=(mu_current, 0.2), arrowprops=dict(arrowstyle=\"->\", lw=2.)) \n",
" ax1.set(ylabel='Probability Density', title='current: prior(mu=%.2f) = %.2f\\nproposal: prior(mu=%.2f) = %.2f' % (mu_current, prior_current, mu_proposal, prior_proposal)) \n",
" \n",
" # 似然 Likelihood \n",
" likelihood_current = norm(mu_current, 1).pdf(data).prod() \n",
" likelihood_proposal = norm(mu_proposal, 1).pdf(data).prod() \n",
"\n",
" y = norm(loc=mu_proposal, scale=1).pdf(x) \n",
" sns.distplot(data, kde=False, norm_hist=True, ax=ax2) \n",
" ax2.plot(x, y, color=color) \n",
" ax2.axvline(mu_current, color= 'b' , linestyle='--' , label= 'mu_current' ) \n",
" ax2.axvline(mu_proposal, color=color, linestyle='--', label='mu_proposal') \n",
" #ax2.title('Proposal {}'.format('accepted' if accepted else 'rejected')) \n",
" ax2.annotate(\"\", xy=(mu_proposal, 0.2), xytext=(mu_current, 0.2), arrowprops=dict(arrowstyle=\"->\", lw=2.)) \n",
" ax2.set(title='likelihood(mu=%.2f) = %.2f\\nlikelihood(mu=%.2f) = %.2f' % (mu_current, 1e14*likelihood_current, mu_proposal, 1e14*likelihood_proposal)) \n",
" \n",
" # 后验 Posterior \n",
" posterior_analytical = calc_posterior_analytical(data, x, mu_prior_mu, mu_prior_sd) \n",
" ax3.plot(x, posterior_analytical) \n",
" posterior_current = calc_posterior_analytical(data, mu_current, mu_prior_mu, mu_prior_sd) \n",
" posterior_proposal = calc_posterior_analytical(data, mu_proposal, mu_prior_mu, mu_prior_sd) \n",
" \n",
" ax3.plot([mu_current] * 2, [0, posterior_current], marker='o', color='b') \n",
" ax3.plot([mu_proposal] * 2, [0, posterior_proposal], marker='o', color=color) \n",
" ax3.annotate(\"\", xy=(mu_proposal, 0.2), xytext=(mu_current, 0.2),arrowprops=dict(arrowstyle=\"->\", lw=2.)) \n",
" #ax3.set(title=r'prior x likelihood $\\propto$ posterior') \n",
" ax3.set(title='posterior(mu=%.2f) = %.5f\\nposterior(mu=%.2f) = %.5f' % (mu_current, posterior_current, mu_proposal, posterior_proposal)) \n",
" \n",
" if accepted: \n",
" trace.append(mu_proposal) \n",
" else: \n",
" trace.append(mu_current) \n",
"\n",
" ax4.plot(trace) \n",
" ax4.set(xlabel='iteration', ylabel='mu', title='trace') \n",
" plt.tight_layout() \n",
" #plt.legend() "
]
},
{
"cell_type": "markdown",
"id": "073ba65f",
"metadata": {},
"source": [
"## 5 可视化 MCMC\n",
"\n",
"为了使采样可视化,我们将为计算出的一些量创建曲线图。下面图中的每一行都是 `Metropolis 采样器`的一次迭代。\n",
"\n",
"第一列是先验分布,即看到数据之前对于 $\\mu$ 的信念。可以看到分布是静态的,我们只是插入了 $\\mu$ 的建议值。蓝色竖线表示当前 $\\mu$ ,而红色或绿色竖线表示建议 $\\mu$,分别被拒绝或接受。\n",
"\n",
"第二列是似然,用来评估模型对数据的解释能力。可以看到,似然随建议值变化而变化。蓝色直方图是数据,绿色或红色实线是当前值和建议值的似然。直观地说,似然与数据之间的重叠越多,模型对数据的解释就越好,由此产生的概率也就越高。相同颜色的虚线是建议值的 $\\mu$ ,而蓝色虚线是当前值的 $\\mu$ 。\n",
"\n",
"第三列是后验分布。这里显示的是归一化后验,但正如上面所提到的,可以将 “先验 x 似然” 得到非归一化的后验值;然后两者相除得到接受率 `p_accept` 。\n",
"\n",
"第四列是迹(即生成的后验样本),存储了所有建议值,不管它是被接受还是被拒绝。\n",
"\n",
"我们经常根据后验密度移动到相对更可能的 $\\mu$ 值,只是有时移动到相对不太可能的值,就像在第 14 次迭代中看到的那样。"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "7d3c915e",
"metadata": {},
"outputs": [
{
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"/opt/hostedtoolcache/Python/3.8.12/x64/lib/python3.8/site-packages/seaborn/distributions.py:2619: FutureWarning: `distplot` is a deprecated function and will be removed in a future version. Please adapt your code to use either `displot` (a figure-level function with similar flexibility) or `histplot` (an axes-level function for histograms).\n",
" warnings.warn(msg, FutureWarning)\n",
"/opt/hostedtoolcache/Python/3.8.12/x64/lib/python3.8/site-packages/seaborn/distributions.py:2619: FutureWarning: `distplot` is a deprecated function and will be removed in a future version. Please adapt your code to use either `displot` (a figure-level function with similar flexibility) or `histplot` (an axes-level function for histograms).\n",
" warnings.warn(msg, FutureWarning)\n"
]
},
{
"name": "stderr",
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"/opt/hostedtoolcache/Python/3.8.12/x64/lib/python3.8/site-packages/seaborn/distributions.py:2619: FutureWarning: `distplot` is a deprecated function and will be removed in a future version. Please adapt your code to use either `displot` (a figure-level function with similar flexibility) or `histplot` (an axes-level function for histograms).\n",
" warnings.warn(msg, FutureWarning)\n",
"/opt/hostedtoolcache/Python/3.8.12/x64/lib/python3.8/site-packages/seaborn/distributions.py:2619: FutureWarning: `distplot` is a deprecated function and will be removed in a future version. Please adapt your code to use either `displot` (a figure-level function with similar flexibility) or `histplot` (an axes-level function for histograms).\n",
" warnings.warn(msg, FutureWarning)\n"
]
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{
"name": "stderr",
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"text": [
"/opt/hostedtoolcache/Python/3.8.12/x64/lib/python3.8/site-packages/seaborn/distributions.py:2619: FutureWarning: `distplot` is a deprecated function and will be removed in a future version. Please adapt your code to use either `displot` (a figure-level function with similar flexibility) or `histplot` (an axes-level function for histograms).\n",
" warnings.warn(msg, FutureWarning)\n"
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{
"name": "stderr",
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"text": [
"/opt/hostedtoolcache/Python/3.8.12/x64/lib/python3.8/site-packages/seaborn/distributions.py:2619: FutureWarning: `distplot` is a deprecated function and will be removed in a future version. Please adapt your code to use either `displot` (a figure-level function with similar flexibility) or `histplot` (an axes-level function for histograms).\n",
" warnings.warn(msg, FutureWarning)\n",
"/opt/hostedtoolcache/Python/3.8.12/x64/lib/python3.8/site-packages/seaborn/distributions.py:2619: FutureWarning: `distplot` is a deprecated function and will be removed in a future version. Please adapt your code to use either `displot` (a figure-level function with similar flexibility) or `histplot` (an axes-level function for histograms).\n",
" warnings.warn(msg, FutureWarning)\n"
]
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"name": "stderr",
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"/opt/hostedtoolcache/Python/3.8.12/x64/lib/python3.8/site-packages/seaborn/distributions.py:2619: FutureWarning: `distplot` is a deprecated function and will be removed in a future version. Please adapt your code to use either `displot` (a figure-level function with similar flexibility) or `histplot` (an axes-level function for histograms).\n",
" warnings.warn(msg, FutureWarning)\n",
"/opt/hostedtoolcache/Python/3.8.12/x64/lib/python3.8/site-packages/seaborn/distributions.py:2619: FutureWarning: `distplot` is a deprecated function and will be removed in a future version. Please adapt your code to use either `displot` (a figure-level function with similar flexibility) or `histplot` (an axes-level function for histograms).\n",
" warnings.warn(msg, FutureWarning)\n"
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{
"name": "stderr",
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"text": [
"/opt/hostedtoolcache/Python/3.8.12/x64/lib/python3.8/site-packages/seaborn/distributions.py:2619: FutureWarning: `distplot` is a deprecated function and will be removed in a future version. Please adapt your code to use either `displot` (a figure-level function with similar flexibility) or `histplot` (an axes-level function for histograms).\n",
" warnings.warn(msg, FutureWarning)\n",
"/opt/hostedtoolcache/Python/3.8.12/x64/lib/python3.8/site-packages/seaborn/distributions.py:2619: FutureWarning: `distplot` is a deprecated function and will be removed in a future version. Please adapt your code to use either `displot` (a figure-level function with similar flexibility) or `histplot` (an axes-level function for histograms).\n",
" warnings.warn(msg, FutureWarning)\n"
]
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{
"name": "stderr",
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"text": [
"/opt/hostedtoolcache/Python/3.8.12/x64/lib/python3.8/site-packages/seaborn/distributions.py:2619: FutureWarning: `distplot` is a deprecated function and will be removed in a future version. Please adapt your code to use either `displot` (a figure-level function with similar flexibility) or `histplot` (an axes-level function for histograms).\n",
" warnings.warn(msg, FutureWarning)\n"
]
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{
"name": "stderr",
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"text": [
"/opt/hostedtoolcache/Python/3.8.12/x64/lib/python3.8/site-packages/seaborn/distributions.py:2619: FutureWarning: `distplot` is a deprecated function and will be removed in a future version. Please adapt your code to use either `displot` (a figure-level function with similar flexibility) or `histplot` (an axes-level function for histograms).\n",
" warnings.warn(msg, FutureWarning)\n",
"/opt/hostedtoolcache/Python/3.8.12/x64/lib/python3.8/site-packages/seaborn/distributions.py:2619: FutureWarning: `distplot` is a deprecated function and will be removed in a future version. Please adapt your code to use either `displot` (a figure-level function with similar flexibility) or `histplot` (an axes-level function for histograms).\n",
" warnings.warn(msg, FutureWarning)\n"
]
},
{
"name": "stderr",
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"text": [
"/opt/hostedtoolcache/Python/3.8.12/x64/lib/python3.8/site-packages/seaborn/distributions.py:2619: FutureWarning: `distplot` is a deprecated function and will be removed in a future version. Please adapt your code to use either `displot` (a figure-level function with similar flexibility) or `histplot` (an axes-level function for histograms).\n",
" warnings.warn(msg, FutureWarning)\n",
"/opt/hostedtoolcache/Python/3.8.12/x64/lib/python3.8/site-packages/seaborn/distributions.py:2619: FutureWarning: `distplot` is a deprecated function and will be removed in a future version. Please adapt your code to use either `displot` (a figure-level function with similar flexibility) or `histplot` (an axes-level function for histograms).\n",
" warnings.warn(msg, FutureWarning)\n"
]
},
{
"name": "stderr",
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"text": [
"/opt/hostedtoolcache/Python/3.8.12/x64/lib/python3.8/site-packages/seaborn/distributions.py:2619: FutureWarning: `distplot` is a deprecated function and will be removed in a future version. Please adapt your code to use either `displot` (a figure-level function with similar flexibility) or `histplot` (an axes-level function for histograms).\n",
" warnings.warn(msg, FutureWarning)\n",
"/opt/hostedtoolcache/Python/3.8.12/x64/lib/python3.8/site-packages/seaborn/distributions.py:2619: FutureWarning: `distplot` is a deprecated function and will be removed in a future version. Please adapt your code to use either `displot` (a figure-level function with similar flexibility) or `histplot` (an axes-level function for histograms).\n",
" warnings.warn(msg, FutureWarning)\n"
]
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{
"name": "stderr",
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"text": [
"/opt/hostedtoolcache/Python/3.8.12/x64/lib/python3.8/site-packages/seaborn/distributions.py:2619: FutureWarning: `distplot` is a deprecated function and will be removed in a future version. Please adapt your code to use either `displot` (a figure-level function with similar flexibility) or `histplot` (an axes-level function for histograms).\n",
" warnings.warn(msg, FutureWarning)\n"
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"name": "stderr",
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"text": [
"/opt/hostedtoolcache/Python/3.8.12/x64/lib/python3.8/site-packages/seaborn/distributions.py:2619: FutureWarning: `distplot` is a deprecated function and will be removed in a future version. Please adapt your code to use either `displot` (a figure-level function with similar flexibility) or `histplot` (an axes-level function for histograms).\n",
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\n",
"text/plain": [
""
]
},
"metadata": {
"filenames": {
"image/png": "/home/runner/work/BayesianAnalysiswithPython2nd/BayesianAnalysiswithPython2nd/BayesianAnalysiswithPython2nd/_build/jupyter_execute/Append-01-MCMC_Tutorial_9_13.png"
}
},
"output_type": "display_data"
},
{
"data": {
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jBxcuXGDBggX89ddfbNu2DTMzM63rBgQEMHfuXMzNzXUOBmVUoUKFuHnzJkZGRlm6n5TcvHkzzXOZHbx+/ZqdO3cyfvx4cuT4Mr96Tp48iZeXFyVLlsTR0ZFr166lexshISF0796dd+/e0adPH/Lnz8++ffsYPXo0kZGRdOzYUa386NGj8fHxoWPHjri4uHDt2jUWLlzI8+fPmTFjhlrZ3r1706NHD06ePMm33377MYeaYek9vszYRnrOUXZ28eJFlixZQvv27bGyssqy/axevTrLtg3SVuhK2gr9thXr1q1j+vTpVK9enUmTJvH69WvWrVvH9evX2b59O+bm5qqy169fp2fPntjb2zNq1CgANm7cSPfu3dmyZQuOjo6ZetxCiGxMkY2FhYVl6LXMsHPnToWDg4Pi/PnzWbofXWXl8cbHxysiIyMVCoVC8fTpU4Wjo6Ni7dq1WbY/fYuJiVG8evVK9XulSpUUPXr0SNc27t+/r3B0dFSMGDFCbfmGDRsUDg4Oij179qiWxcbGKurWrav49ttvFeHh4arld+7cUTg5OSl+/vlnje0vXLhQUa5cOUVgYGC66pVZ0nN8Kbl586YiNDRUY/m8efMUDg4OCk9PzxTXHTZsmKJdu3aKcePGKRwcHBRv375N/0Focf78eYWDg4Ni586dqZZ78eKFwsHBQbFo0aJM2W96t+ng4KAYP358pu07M6V0HPPnz1eULVtW8ebNGz3VLOsFBQUpIiIiFAqFQvHXX3/p9F760MyZMxUODg4KHx8f1bL4+HhFx44dFdWrV1drI06cOKFwcHBQTJ8+XW0b06dPVzg4OCiuXLmitjwxMVHRsGFDxeDBg9N7aJkmPceXGdtI7znKzhYtWqRwcHBQvHjxItO3nfw6ICskv4aRtkI30lbor614+/atomLFioqOHTsq4uPjVct9fHwUDg4OCg8PD7VtdOzYUeHi4qJ4/fq1atnr168VLi4uir59+2b6cQshsq8seRwbGxvLypUradu2LRUrVqRKlSp06NCBjRs3qspMmDBBLVKc3If5FJLnMDhw4AAdOnTA2dmZqVOnqpU/d+4cbm5uuLi4MHToUNX6t27dYvjw4dSoUYPy5cvTrFkzPDw8iI+PV9uvchx1QEAAY8eOpVq1alSsWJH+/fvz5MkTVbnFixercn706tVLNbQieZ2fP3/Oo0ePdDpfixcvxtHRkQcPHjB16lTq1KmDs7MznTt35ty5cymeH23Hm1LOmXfv3vHrr7/SoEEDypcvT4MGDfj1118JDg5WK6dc/+zZs/zxxx80adIEZ2dnVXfKQ4cOoVAoqF+/vka9GjVqRM+ePfH19VV13axVqxYzZswgPj6emJgYZs6cSb169ahQoQLu7u4a50h5LrQNF1NuP6uZmJiQP3/+j9rGvn37UCgU9O7dW215ly5dyJkzJ3v27FEtu3TpEoGBgXTq1AkLCwvV8jJlylC9enUOHDig0aW2fv36xMXFcfTo0Y+qZ0al5/hSUqFCBXLlyqWxvGXLlgDcv39f63pHjhzh2LFj/Prrr5+kN0t68sucOnUKFxcXunfvzvv374Gk9nDZsmW0atWKChUqULVqVYYMGcKdO3d02n9q+WWuXbtGjx49qFSpEjVq1GDSpElERERolPP19VW1gRUqVKBly5asXLmShISEjyp7+fJlunXrpurSPWXKlBR7Mh08eJDy5cuTN29eteXJ8/x4eXnRrFkzKlSoQOvWrTl+/DgA9+7do3///lSuXJkaNWowdepUjc9ESu2DtjxCWcXW1lbtaWlG7Nu3j6JFi6rl9DAyMqJHjx6EhIRw8uRJ1fK9e/cCaHwOlb9/+Dk0MDCgbt26nDp1Suv75FNIz/FlxjbSe44+RvLvz8WLF9OwYUPKly9P69at2b9/v9Z1jh49qhrO6uLiQrdu3bS261evXmXAgAHUqVOHChUqUK9ePQYOHMj169eBpGuqJUuWAEm9K5XXJcnbrbCwMGbPnk3Tpk0pX748NWvWZOzYsRrDZ9O6Dkgp58ylS5fo27cvVapUwdnZmfbt27N9+3aNcsr1X7x4wciRI6levTpVqlRRvS5thW6krdBfW+Hj40NUVBQ9evRQuw5p1KgRRYoUUSv77Nkzbt26RfPmzdV6Qdvb29O8eXPOnj1LUFBQph63ECL7yvT+orGxsfTv35+LFy9St25d2rRpg6mpKffv3+fw4cP06NEjw9s+evQonp6euLm50a1bNywtLVWv/fPPPxw6dIguXbrQvn171fITJ04wYsQIihUrRr9+/bC2tub69essWrSIu3fvagwLiYyMpEePHlSsWJExY8bg5+fHhg0bGDZsGPv27cPIyIimTZsSFBTE1q1bGTJkCCVLlgSgaNGiqu306dOHly9fcu/ePZ2Pb/z48RgaGjJw4EDCw8PZunUrAwYMYOXKldSuXVutbErHq01YWBhubm48e/aMjh07UrZsWe7evcvmzZs5f/4827dvVzuXADNnziQ+Pp4uXbpgYWFBiRIlgKRu01ZWVqrfP/T69Wv69u1Ly5YtadasGWfOnGHt2rUYGRnx8OFDoqOjGTRoEMHBwaxZs4Zhw4bx119/ZXjYRlhYmM55A3LmzEnOnDkztJ/0+ueffzA0NMTZ2VltuampKU5OTty6dUu1TPmzi4uLxnYqVarE+fPnefr0KaVLl1YtL1u2LCYmJly8eBE3N7c06/P+/XutN9faWFpaYmJikmqZ9Bxfer1+/RpIunj9UHh4OFOmTKFr1644OzuzadOmDO8ns+3atYuff/6Zhg0bMnfuXExNTYmLi6N///5cu3aNtm3b4u7uTnh4ONu2bcPNzY2NGzdSoUKFDO3v7t27DBkyhA4dOuDq6srFixfZsWMHhoaG/Pbbb6pyt27domfPnuTIkQN3d3dsbW05fvw4c+bMwdfXl7lz52ao7I0bN+jbty8WFhYMHDiQXLlyceDAAcaPH69R1zdv3vDkyZNUg6teXl6EhobSuXNnTExM8PT0ZMSIESxcuJCff/4ZV1dXmjRpwpkzZ/D09MTGxoZhw4Zl6NwlJiYSEhKic/ncuXN/kqFlgYGBBAQE0Lp1a43XKlWqBCT9jZQBzFu3bmFvb0+BAgXUyhYoUAA7Ozutn0MXFxe2bt3KlStXtAbZk4uLiyMsLEzn+tvY2KT6enqPLzO2kZFz9LHmzJlDZGSkqm329vZm7NixxMTEqOVQ8fLyYsqUKZQsWVL1Xt61axfDhw9XtXMAjx8/pl+/ftja2tKrVy/y5s3L27dvuXLlCr6+vlSqVImuXbsSHh7OkSNHmDhxInny5AFQPQQLCwujW7du+Pv707FjR0qXLk1QUBCbNm2ic+fO7Ny5k0KFCqkdR0rXAdocO3aMESNGYGtrS9++fbG0tGT//v38/PPP+Pn5MWbMGLXyERER9OjRg8qVKzN69GhVng5pK3QjbYV+24rUrtsqVqzI/v37iYiIwMLCIs1rvJ07d3L79m2+/fbbTDluIUT2lunBmfXr13Px4kUGDx7M2LFj1V5LTEz8qG0/fPiQPXv2UKpUKY3XHjx4wNq1a9WCGDExMUyaNImKFSuyfv161djlbt264eTkxPTp07lw4QI1atRQrRMcHEz//v0ZOHCgapmNjQ2zZ8/m7Nmz1KtXDycnJypVqsTWrVupXbu22vofw8jICC8vL9WNcadOnWjRogW//fabRiIwbcebklWrVvH06VMmT56Mu7u7anmZMmWYMmUKq1at0kjuGx0dzZ9//qkRzHj06BGFCxfGwMBA676eP3/OggULaNGiBQBubm506NCB1atX07BhQ9atW6daN3fu3Pz++++cOXOGevXqpXkc2gwbNkznGQVGjBjB999/n6H9pFdgYCB58uTRGuSwt7fn2rVrxMbGYmJiQmBgoGr5h+zs7ICkHCvJgzPK3j0PHz7UqT7t27fn5cuXOpWdPn16mkkY03N86ZGQkICHhwc5cuTA1dVV4/XZs2ejUCj44Ycf0rXdrLZ8+XLmzZuHm5sbkydPVl2ce3l5cfHiRVatWqX2Hu/evTuurq7MmjULT0/PDO3z3r17bN26lYoVKwJJ7Vp4eDje3t5MmDBB1Qvr999/JzY2li1btuDk5ARAjx49GD16NPv27aNTp07UqlUr3WWnT5+OQqFg8+bNqpu27t270717d426Kt+nyQPYHwoMDOTAgQOq3lQ1a9akbdu2jBgxgkWLFvHdd98B/7YpmzZtyvANl7+/P40bN9a5vI+PzyfJLZZaW6Bcpiyj/Pmbb77Rui17e3tVoDO5IkWKAEl/k7RuuK5evUqvXr10qzyk+TAivceXGdvIyDn6WMHBwezZs0f1XnZzc6NNmzbMmDGDli1bYmZmxvv375kzZw5FixZVe0DSvXt32rVrx4wZM2jRogVWVlacPn2aqKgo5s2bpxEQV1ImlT1y5AhNmjTReL8uXLiQFy9esG3bNtVnG5K+G1q3bs3ixYs1cmqkdB3woYSEBH777TfMzc3Zvn276u/QvXt3evXqxYoVK2jfvj3FixdXrRMSEsKQIUM0gjbSVuhG2gr9thVpbVuhUBAYGEiJEiVUZZXXc9rqERAQkKE6CyG+PJkenNm7dy/W1tYMHz5c47WPfZrQoEEDrYEZACcnJ41AxZkzZ3jz5g1jx47VmL2gfv36TJ8+nTNnzqgFVwwNDTW+YJSJb589e6ZzEOHYsWM6lUuuT58+ajez+fPnp3Xr1mzdupVHjx6pHbu2403JkSNHsLGxUT2FU+ratStLlizh6NGjGsEZNzc3rRdk7969o1ixYinuy97eXhWYUapcuTK3b9+mZ8+eakGdqlWrAuk7rx8aP368zjNTKC80PoWoqKgUAxOmpqZA0oWviYkJUVFRAFrLJy/7ody5c+sccJk9ezYxMTE6lU3p4iS59BxfekybNo1r164xduxYVY80pStXrrB161bmzJmjdTiUPiQmJjJlyhS8vLwYNWqUxg3Anj17KFmyJOXKldOYwaF27dr8+eefREdHp5j4ODWVKlVSBWaUatasycmTJ3n58iUODg68ffuWa9eu0bRpU7UbMgMDA4YOHcrBgwc5cuQItWrVylDZZs2aqT1NNzExoU+fPhrBM+WxW1tbp3g8HTp0UPu7Ojk5YWlpiYWFhepmS6ly5cp4enqqnkymV758+Vi7dm26yn8Kys95am2Bsr1Qlk/tc6it3VD2qNAl0bmTk1O6zlNa0nt8mbGNjJyjj+Xm5qb2Xs6VKxfdunVj3rx5XLhwgQYNGnDmzBkiIyPp2bOnWs9VS0tLevbsybRp0zh79izNmzdXbcvHxwdHR0fVcepKoVCwd+9eqlWrhp2dnVpblDNnTipVqsTp06e1HocuvU1v376Nv78/ffr0UbupNDExYcCAAQwfPhwfHx/69++vtt6Hv4O0FbqStkK/bUV6rttSK6tcpiyTGccthMjeMj048+zZM8qUKZPuiwddJH/qostrynwmP/30U4rrvXnzRu13Ozs7jbrnzp0bIF1dWzNCW+BJuezFixdqr6d2Lj7k5+dH+fLlNWY9yJEjB8WLF9ea+yKl7ssGBgapTq2o7YmR8iLrw9eUs0l8zHktX758htYLCQnRGA6VmRdVOXPmTPGCRhkkUd6QKy9+Y2Nj0yybnEKhSLEH04eSj+fPDOk5Pl0tWLCAjRs30rVrVwYPHqz2WmxsLJMnT6Z27dpae9Toy/r164mIiGDMmDEMGTJE4/VHjx4RHR2t6m2iTXBwsEY3al1oCzZ+2FYpczdpC7iVLFkSQ0NDVb6J9JRV/v9hAC2l9ZXv04y0HdryPynblJCQkAzdcJmamuoc3E4uISFBI8hmZmaWacFC5WcmtbYg+c2ymZmZ1rLK8im1G4BObYe1tXWGzlNK0nt8mbGNjJyjj6Xtc6H8/lZ+zpT/J+8RqaRcpvyctWrVij179rBs2TLWrVtHxYoVqVu3Lq1atdIYiqTNu3fvCAkJ4fTp0ym2RdoenqU2jCm51NqOD49FycbGRuuMUtJW6EbaCv22Fcmv2z48d+m5xlMuU5bJjOMWQmRvepujMKXG/sMkvcml1iBpe035xfLjjz9SpkwZret92M0wtQSjqV0sfGpZ3TindMFqY2OjSnSqTWrnL6WeU8nPa2oXAdreG9qCLCkxNzdXXZx9//33GsOh0pMfKC12dnY8fPhQ69CegIAAtSFByYcufRigS62L6/v379Mct6307t07nXPO5MqVK80blvQcny4WL16Mh4cHHTp04Ndff9V4fdOmTTx+/Jjx48fz7Nkz1XJlokI/Pz8iIiI+ae8ogDp16nDp0iW2bdtGq1atNPavUChwcHBQJRDXRte/4YeyS1sF/x5jRtqOjz1Obe97bTdOqbGxscHIyIhXr15pDHFo3759pk3HnLwt+JByWfLvLDs7O61lleW1tRvKwJ0u77vY2NhU/2YfSivAnd7jy4xtZOQcfW5MTExYu3YtN2/e5NSpU1y+fJlFixaxZMkS5s6dS9OmTVNdX/k5qV27ttqQ7bRkReBKKaVrGGkrdCNthX7biuTb/rA3eUBAAAYGBqoyyv+1DUdS7k+57cw4biFE9pbpwZnixYvz+PHjNPNNJH+aoXzaC5pPVz62LpB0EZCZEX3Q7UlCej169EhtOIFyGXzckJwiRYrw5MkT4uPj1XrPxMfH8/Tp03Rtu3Tp0ly6dInExMQsSXqnfF+8f/9e7elYTEwMQUFBGl+C2oIsKUmecyY9w6Eyonz58pw+fZqbN2+qhm9B0nH4+vqqLVMmhL127ZrG+/T69etYWlpq9JSKjY3l1atXGl24U9KpU6dMzTmTnuNLy+LFi1myZAnt27fn999/1/rZevnyJYmJiSneWHTu3Blzc3OuXbum834zg4ODAyNHjqR379706NGD9evXq/2tihUrRnBwMDVr1vwkSSI/pPwMactN9PjxYxITE1Wf/4yUffz4sUZZbesrn54nD6xltty5c2vthaftO0XbjVNqlHkktA1xyMwLZTs7O+zt7blx44bGa8pZeZInkK5QoQJ79+7l1atXar2vXr16RWBgoNYZdZ4/fw5o77HxoWvXrmVqHon0Hl9mbCMj5+hjaftcKL/LlZ8d5WfpwYMHGr1ZlJ+hD7+bnZ2dVTlnXr16Rbt27ViwYIEqOJPSdYmyl0p4eHimXwtB6m1HSseSEmkrdCNthX7bigoVKrB161auXbumcV1648YNSpQooXoYmPwar3Pnzhr1MDAwoFy5cpl23EKI7C3TgzOtW7dm9uzZLF26VCOPSfJhGMobmLNnz6plHc/MMat169Ylb968rFy5kpYtW6oFgSBpbGd8fLzGTEW6UE6BmNKTgufPnxMXF5dijhxt1q1bR9OmTVVBrdevX7N3715KlCiRru18qEmTJixbtozt27erzeyzbds23r17p5GLJjXVq1fnxIkTPHz4EAcHhwzXKSXJ3xfKLytIOjfaEkpnNOdMRodDaaPtb92yZUuWL1/O+vXr1QIV27ZtIyoqSi0Tf7Vq1ciXLx87duygT58+qi90X19fLl68SIcOHTA2Nlbb5507d4iLi6NatWo61TGzc86k5/gg5c/DkiVLWLJkCW3btmXatGkpBjA6duyodWiWMuHutGnTUs1RkJVKly6Np6enWoBGeZzt2rVj1qxZrF27Vmt+hTdv3midlSqz5M2bFxcXF44fP879+/dVn1mFQsGKFSsAVDd26Slra2tLpUqVOHbsGE+ePFENf4iNjWXdunUa9bCxsaF06dKqi8usULx4cQ4fPqz2hDM2NhYvLy+NshnNI5HRIQ7aREVF4e/vT65cudRu2lq1asWaNWs4duyY6mYgISGBjRs3YmVlpZaY09XVlb1797J+/Xq16dbXr18PoHXGj+vXr5MjRw4qV66cZh0zO48EpO/49HWOPtbmzZvV8s6EhYWxZcsWrKysqF69OpDU687c3JyNGzfSoUMH1XVIeHg4GzduxNzcnDp16gBJPR8/7L2QP39+jZ6sya9Lkj/cMDQ0pHXr1nh5eXHw4EGaN2+uUee3b99qTF2tq3LlylGwYEG8vb0ZMGCA6vMSFxfH6tWrMTAw0DnAIW2FJmkrPr+2onHjxkydOhUvLy9at26t6rV17NgxXrx4wahRo1RlixUrRvny5Tl48CCjRo1SSwJ88OBBatasqdaTKD11FkJ8eTI9ONOrVy+OHz+Oh4cHt27dom7dupiYmPDw4UOePHmiunB3dXVl/vz5TJ48mcePH5M7d25OnTpFcHBwptXF3NycmTNnMnz4cJo3b07Hjh0pVqwYoaGhPH78mCNHjrBkyZIMzbZUoUIFDA0NWbZsGe/fv8fc3JzChQurEnRmZCrthIQE3N3dadWqFREREWzZsoWYmBh+/vnndNcvuQEDBnDw4EGmTJnCnTt3KFOmDHfv3mXHjh2UKFGCAQMG6Lyt7777jjlz5nDy5MksCc7Url2bEiVKsGjRIkJCQihcuDBXrlzhxo0bquR0yWVmkCW5jRs3qoI+cXFxvHz5kqVLlwJJFyHJn6Bo+1s7Ojri7u7Oxo0bGTFiBA0aNODRo0d4enpSvXp1tS95Y2NjJk2axJgxY3B3d6dz585ERESwbt06bGxsGDlypEb9Tp48ibGxMU2aNNHpeDI750x6jg+0nyMvLy8WL15MwYIFqV27Nnv37lVbx9bWVnVz4uTkpNGrDODEiRMANGzYMMPDgzJDqVKl2LhxI71796ZXr16sW7eO0qVL06tXL86ePcusWbM4f/48NWvWxNLSEn9/f86fP6+aBjYrTZo0iZ49e+Lu7k737t3Jly8fx48f5/Tp07i6uqo9tU9P2QkTJtCzZ0/c3Nxwd3dXTaWd0vC55s2bs3TpUgIDA7OkW7a7uzv79++nT58+dOvWjbi4OHbv3q11+ERm3jgl9/LlS3bv3g3822Pg+PHjqlk+2rZtq8oRcvPmTXr16qUx1GHQoEEcOnSIH374gb59+2Jvb8++ffu4desWU6dOVXuY8O2339KwYUPWrl1LWFgYlSpV4vr16+zYsYM2bdpo9GBTKBScPn2aevXq6ZR/I7PzSKT3+PRxjjJDnjx56Ny5s6oHore3N/7+/kydOlX1frSysmLcuHFMmTKFLl260L59eyBpKu1nz54xZcoUVXDHw8ODM2fO8O2331K4cGEUCgXHjx/n8ePHat/fyuuPOXPm0Lp1a0xNTSldujQODg6MGTOGq1evMnr0aFq0aEHFihUxNjbG39+fv//+m3LlymV4yI2RkRG//PILI0aMoFOnTqqpt//66y+uX7/OkCFD0pUnT9oKaSvSe3yf+hzZ2NgwatQoZs6cSZ8+fXB1dSUgIIC1a9dSsmRJevfurXYskyZNolevXri7u9OjRw8g6TpToVCoBYLSW2chxJcn04MzJiYmrFmzhjVr1rBv3z7mzZuHqakpxYoVUxsqYWlpyYoVK5g+fTrLly/H3Nyc7777jtmzZ+vcG0AX9erVY8eOHaxYsYI9e/YQHByMlZUVRYsWpU+fPjg6OmZouwULFmTatGmsXLmSX3/9lbi4ONq3b68xe0p6zJw5ky1btrBy5UpCQ0NxdHRkxowZqhvUjMqVKxebN29m0aJFHDt2DG9vb/LmzUu3bt34/vvv09XQFylShLp167Jnz550jV3XlZGRER4eHkydOpWNGzdibGxMnTp12Lhxo1qvn6y2Zs0atWFAL1++ZOHChUDSuHFdusL/9NNPFCpUiK1bt3LixAny5MlDjx49GDlypEYPkRYtWmBmZoaHhwezZs3CxMSEWrVqMW7cOK1jwffs2UOjRo0+2cwQ2qTn+LS5desWkDRV6fjx4zVer169+ke/9z+l4sWLqwVo1q5di5OTE8uXL2fTpk3s3r2bxYsXA0ldlytUqKC6IctKFSpUYMuWLSxatIjNmzcTGRlJkSJFGDduHP369ctwWRcXF9auXcvcuXNZsWIFuXLlolmzZri5uWl9Ctu5c2c8PDzYt2+fxrYyQ5UqVZgxYwbLli1j9uzZ2NnZ4ebmRvny5enTp0+m708bPz8/VTuhdPjwYQ4fPqyqY1oJXPPkycPmzZuZM2cOXl5eREZG8s033zB//ny1XqZKCxcuZOnSpezdu5fdu3djb2/PyJEjGTRokEbZS5cu8fLlSyZPnvwRR/lx0nt8mbGN9JyjzDBu3DguX77Mpk2bePPmDSVKlFAFTJJzd3fHzs6O1atX88cffwBJgeg//vhDLfDepEkTgoKCOHjwIG/evMHMzIxixYoxdepUOnXqpCpXpUoVxo0bx5YtW/jll1+Ij49nxIgRODg4qK4D1qxZw8GDB/Hx8cHIyIj8+fNTpUoVjeEW6dWoUSPWrVuHh4cHq1evVvWUnDp1arq3LW2FtBXw+bcV/fr1I3fu3Kxbt04VNGnevDnjxo3TCGgpZw1bsGCB6u9euXJlFi5cqPHgKTOOWwiRfRkoPrfMkV8hZc4N5Vjlz921a9fo1q0ba9euzZInSiJ1R48e5fvvv8fb2zvFRNdCfI4mT57MmTNnOHjwoMZQPZH1hg8fzqtXr9i5c2eW5E372nl7ezNx4kQ2bNiQoR654l/SVuiXtBVCCKEfOmeovHz5clbWQ2QjLi4utGzZkkWLFum7Kl8dhULBkiVLaNeunQRmRLYzatQoQkJC8Pb21ndVvjp37tzBx8eHCRMmyM2W+OxJW6E/0lYIIYT+6DysqUePHpQsWZJOnTrRrl07veZ3EPo3f/58fVfhq2RgYMCff/6p72oIkSF58+blypUr+q7GV6ls2bL4+vrquxpC6ETaCv2RtkIIIfRH554z48aNA2DWrFnUr1+fkSNH8vfffyOjooQQQgghhBBCCCEyLt05Z65cucKOHTs4ePAg0dHR2Nvb06FDBzp06JAt8qUIIYQQQgghhBBCfE4ynBA4IiKCAwcOsGPHDm7cuIGhoSE1a9akU6dONG3aVBK4CSGEEEIIIYQQQujgo2drCgwMZM6cOezZs0e1zMbGhn79+tG3b1+MjIw+upJCCCGEEEIIIYQQXyqdc84kl5iYiI+PD0OHDqVRo0bs2bOHKlWqMHPmTObPn0/JkiWZO3cuv//+e2bXN1uZMGECjo6O+q6GyqeoT0xMDI0aNZKEwXoQHR1N3bp1WbJkib6rkm1duHABR0dHtRlC/Pz8cHR0ZPHixaku+1gpbdPR0ZEJEyakuexzkdq5efv2LVWqVGHbtm16qNnXLSgoiIoVK7Jr1y59V0Vkcz179qRRo0ZZug9pK/RH2gohhNAfnWdrAnj69Ck7duzgzz//5O3bt1hbW9OjRw86d+5MqVKlVOVatGjBf//7X/bv38/kyZMzvdLi87V27VpCQ0Pp16+fvquSZQICApg7dy5///03kZGRfPPNNwwcOJAWLVrotL63tzcTJ07U+pq7u7vWz8yff/7JunXrePz4MZaWljRs2JAffvhBbdY0MzMzBg0axPz58+nSpQt2dnYZO8BMEBsbi4eHB7t37yYwMJD8+fPToUMHBg4cqNOQx+vXr7NmzRru3r3LmzdvAChUqBDNmzend+/e5MqVS638hAkTUryQXLhwIc2bN//4gxIfbcGCBdjY2NChQwd9VyXLPH78mDlz5nDp0iXi4uIoW7Ys33//PbVq1dJp/cWLF6cYYP3xxx/p37+/2rLExEQ2bNjAli1bePnyJTY2NrRo0YKRI0dibm6uKpcvXz66devG/Pnzad68OTlz5sz4QX6ksLAwFixYwOHDhwkJCaFo0aK4u7vj5uam89S96dnG8uXLuX37Nrdv38bPz49ChQpx7NixrDg0vbpw4QIXL16kd+/eWFlZ6bs6H0XairRJW5G5bcXjx4/5448/uHPnDoGBgcTHx1OgQAEaNGhA//79U7ymOnHiBOvWreP27dvExsaSP39+6tSpo/Va7vXr1/zxxx+cOnWKN2/eYG1tTZkyZZgwYQLffPONqtyBAwc4deoUt2/f5tGjR8THx+Pj4yO5Pb9Cd+/e5ejRo7Rv317+/l8JnYMz3bt359q1aygUCqpVq8aECRP47rvvMDEx0Vq+atWqbNmyJdMqKj7eb7/9xq+//ppl24+Ojmb16tV06NABa2vrLNuPPoWEhNC9e3fevXtHnz59yJ8/P/v27WP06NFERkbSsWNHnbc1ZMgQSpYsqbasRIkSGuXWrVvH9OnTqV69OpMmTeL169esW7eO69evs337drWLqk6dOjF//nzWrl3L+PHjM36gH2n06NH4+PjQsWNHXFxcuHbtGgsXLuT58+fMmDEjzfWfPn1KVFQUrVu3xs7OjsTERG7dusWyZcs4dOgQ27dvx8zMTGO9WbNmaSxzdnb+qGMpVKgQN2/e1NsQzZs3b2JomKFOjp+V169fs3PnTsaPH0+OHOl6LpBtPH/+HDc3N4yMjBgwYACWlpZs376dAQMGsHLlSmrXrq3ztiZOnEiePHnUlpUvX16j3LRp0/D09KRp06b069ePR48e4enpyZ07d1i3bp3ae6dnz56sX78eb29v3N3dM36gHyE2Npa+ffty9+5devToQalSpfj777/59ddfefv2Ld9//32mb2PevHnkzp2bsmXLEhYWllWHpncXL15kyZIltG/fPkuDM6tXr86ybYO0FdJWJPnUbUVAQABBQUE0bdoUe3t7cuTIwf3799m2bRv79+9n9+7d5M2bV237S5YsYfHixdStW5fvv/+enDlz4u/vz7179zTqcufOHfr27YuFhQUdO3akQIECvH//nn/++Yd3796pld28eTM3btzAycmJIkWK8OTJkwyeRZHd3b17lyVLllC9enUJznwtFDqqUaOGYsaMGYonT57oVP7t27eKCxcupFomLCxM191nS+PHj1c4ODjotQ6JiYmK8PDwLNt+VFSUIi4uTqFQKBTbtm1TODg4KG7fvp1l+9O3mTNnKhwcHBQ+Pj6qZfHx8YqOHTsqqlevrtO53rlzp8LBwUFx/vz5NMu+fftWUbFiRUXHjh0V8fHxquU+Pj4KBwcHhYeHh8Y6P/74o6JGjRqKmJgYHY8qc504cULh4OCgmD59utry6dOnKxwcHBRXrlzJ8LZXrlypcHBwUOzfv19teWZ91s6fP69wcHBQ7Ny5M9VyL168UDg4OCgWLVr00fvMyDYdHBwU48ePz7R9Z6aUjmP+/PmKsmXLKt68eaOnmmW9kSNHKpycnBR37txRLQsPD1d8++23iu+++06RmJiY5jYWLVqkcHBwULx48SLNsvfv31c4OjoqRowYobZ8w4YNCgcHB8WePXs01nF3d1e4urrqcDRZY+PGjQoHBwfFhg0b1JaPGDFCUa5cOYWfn1+mb+P58+eqn1u1aqVo2LDhRxzB5ys97530io+PV0RGRmb6dpWSXw9KWyFthUKhn7ZCmwMHDigcHBwUK1asUFt+5swZhYODg2LJkiVpbiM6OlrRtGlTRdu2bXW693n58qXq2vrXX3/Nss+1+Pyl554hq9tp8Wno/Dj29OnTjB8/nuLFiwNJQzMcHR05e/YsixcvpmHDhpQvX57WrVuzf/9+bGxsqF69umr9Ro0a0bNnT+7cuUP//v2pUqUKbdq0Ub1+6dIl+vbtS5UqVXB2dqZ9+/Zs375dox7Ksc4vXrxg6NChVKlShcqVKzN8+HBevHihUT4yMpK5c+fSpEkTypcvT506dfjxxx95+fKlWrnExETWrVtH69atcXFxoXLlyjRr1oyffvqJuLg4tfMwevRoGjdujLOzM1WrVqVfv35cvHhRp/MYFxfHo0eP8Pf316l8eo43eb4MLy8vWrZsSYUKFVizZg2Qcs4ZX19fhg8fTo0aNahQoQItW7Zk5cqVJCQkqJVTrv/u3TsmTpxI7dq1qVSpEq9fvwbg4MGD5MuXj7Jly6qtlzwHxYEDB2jbti3Ozs40bdqUnTt3AuDv78/IkSOpXr06Li4ujBs3jvDwcK3n4kNZkf8jJfv27aNo0aJq9TAyMqJHjx6EhIRw8uTJdG0vPDyc2NjYFF/38fEhKiqKHj16qPXcaNSoEUWKFFFLxK1Uv359goODOX/+fLrqkln27t0LQO/evdWWK3/XVmddFSxYEIDQ0FCtrysUCsLDw0lMTMzwPj6UnvfXqVOncHFxoXv37rx//x5IenK3bNkyWrVqRYUKFahatSpDhgzhzp07Ou0/tfwy165do0ePHlSqVIkaNWowadIkIiIiNMrp+hlPb9nLly/TrVs3nJ2dqV27NlOmTCEyMlJrXQ8ePEj58uU1njx+2G41a9aMChUq0Lp1a44fPw7AvXv36N+/P5UrV6ZGjRpMnTpVrV2Gf79jPqQtj1BWiIyM5NixY1SvXp0yZcqolltYWNCpUyeePn3KrVu30rXN8PBw4uPjU3x93759KBQKjc9aly5dyJkzZ4rtw/3793n06FG66pJZ9u3bR86cOenSpYva8t69exMXF8eBAwcyfRtFihT5+IrrIK3rIm2OHj1Kt27dqFSpEi4uLnTr1o2jR49qlLt69SoDBgygTp06VKhQgXr16jFw4ECuX78OJH0/K4e4NG7cGEdHR412KywsjNmzZ9O0aVPKly9PzZo1GTt2rMa1RPLj+OOPP2jSpAnOzs789ddfQMrfxRm5jlN+71epUkX1urQV0laAftoKbQoVKgRoXncsW7aMvHnzMnjwYCBpFtuUrj3++usvnj17xsiRI7G0tCQ2NjbVa7+CBQt+sb3GhO4WL16sSoPQq1cvVbs+YcKENNvp9N6vPnv2jIkTJ1K/fn3Kly9P3bp1GTp0KP/8849auVu3bqmuEcuXL0+zZs3w8PBItf0R6aPzJ79ChQrMnj0bV1dXteVz5swhMjKSypUrs3//fuLi4hg7diwxMTEaY4X9/f3p3bs3zZs357vvvlNdxB87dowRI0Zga2tL3759sbS0ZP/+/fz888/4+fkxZswYte1ERkbSs2dPnJ2dGTt2LM+ePWPTpk3cuHGDXbt2kS9fPiApENK/f3+uXr1Ks2bN6Nu3L8+ePWPz5s2cOXOGnTt3kj9/fgA8PDxYtGgRDRs2pFu3bhgZGeHn58exY8eIjY1V5cnYtWsX79+/p127duTPn5+AgAC2b99Onz592LBhA1WrVk31PAYEBNCyZUuqV6+Op6enTude1+NVWr9+PSEhIXTu3Jl8+fKpjlGbW7du0bNnT3LkyIG7uzu2trYcP36cOXPm4Ovry9y5czXW6du3L7a2tgwbNozIyEjMzc1JSEjg6tWr1KxZM8V9HT9+nC1btuDm5kbu3LnZsWMHP/30E8bGxsyfP5+aNWsyZswYbt26xc6dOzE1Nf2opNIfdhNNTa5cudLMhRIYGEhAQACtW7fWeK1SpUpA0vls2bKlTvscOnQoERERGBgY4ODgQP/+/Wnbtq1aGeUFmouLi8b6FStWZP/+/URERGBhYaFRl4sXL1K/fv0065HZ5+nWrVvY29tToEABteUFChTAzs4uXRedUVFRREVFER0dze3bt5kzZw7GxsYpdvmuUqUKERERGBsbU61aNUaPHk3FihV13t/H2LVrFz///DMNGzZk7ty5mJqaqtqga9eu0bZtW9zd3QkPD2fbtm24ubmxceNGKlSokKH93b17lyFDhtChQwdcXV25ePEiO3bswNDQkN9++01VLj2f8fSUvXHjhqqL9sCBA8mVKxcHDhzQOpzuzZs3PHnyROsNkZKXlxehoaF07twZExMTPD09GTFiBAsXLuTnn3/G1dWVJk2acObMGTw9PbGxsWHYsGEZOneJiYmEhIToXD537txpDi27d+8esbGxqs9fcsnbB12H2bVp04aIiAiMjIxwdnZm6NChNGjQQK3MP//8g6GhocY2TU1NcXJy0vpZS94+JM8Vp01mn6fExETu3LlD2bJlMTU1VXvN2dkZAwODNNuHzNhGVlNeF7m5uQFJwQ5t10VeXl5MmTKFkiVLqt7Lu3btYvjw4UyZMoWuXbsCSbkw+vXrh62tLb169SJv3ry8ffuWK1eu4OvrS6VKlejatSvh4eEcOXJEbZiL8oFMWFgY3bp1w9/fn44dO1K6dGmCgoLYtGkTnTt3ZufOnaqbUKWZM2cSHx9Ply5dsLCw0DrsVim913ERERH06NGDypUrM3r0aNX3kLQVScukrdBfWxETE0NERASxsbE8fPiQOXPmAKid08jISC5fvkz9+vXZsWMHf/zxB4GBgZiZmdGoUSMmTZqEra2tqrzywZ2VlRXu7u5cuXIFhUJBmTJl+OGHH6hXr16qxyK+Tk2bNiUoKIitW7eqpUIoWrSoaqhbSu10eu5Xb926RZ8+fYiPj6dTp06ULl2a9+/fc/HiRa5du6YaJnnixAlGjBhBsWLF6NevH9bW1ly/fp1FixZx9+5dFi1a9InP0JdJ5+CMQqFAoWXW7eDgYPbs2cPff//NgQMH2L59O23atGHGjBm0bNlSLS+En58fU6dOpXPnzqplCQkJ/Pbbb5ibm7N9+3bs7e2BpBw3vXr1YsWKFbRv317VY0e5z169ejFp0iTVsmrVqjFixAgWL17MlClTgKQ35tWrV+nfvz8//vijqmzt2rUZPHgwc+fOZfbs2UDS06tSpUqxbNkyteMbN26c2u/KuibXrVs3WrVqxfLly9MMzmSErser9OrVK/766y+Np07a/P7778TGxrJlyxacnJwA6NGjB6NHj2bfvn106tRJIzld6dKlVV9WSi9evCAyMpKiRYumuK/Hjx+zf/9+1QVgy5YtadCgAT/++CPjx4+nb9++ALi5uREaGsru3bv56aef1AIP6aFrUj2ADRs2UKNGjVTLBAYGAqjeo8kplynLpMbMzAxXV1dq1qxJ3rx58fPzw8vLix9//JEXL14wYsQInfepUCgIDAxUu2guVKgQOXLk4OHDh2nWBbLmPCVPbPdhnZU9rXSxaNEiVc8vSHrvLVu2TON9ZmtrS58+fShXrhzm5ub4+vqyfv163N3dWbFiRbrG72fE8uXLmTdvHm5ubkyePFl10enl5cXFixdZtWqV2sVX9+7dcXV1ZdasWToHaT907949tm7dqgo+devWjfDwcLy9vZkwYYLqc5Oez3h6yk6fPh2FQsHmzZtV77/u3bvTvXt3jboq34uptQ+BgYEcOHBAley5Zs2atG3blhEjRrBo0SK+++47IKl96NChA5s2bcrwDZe/vz+NGzfWubwuiRh1aR8CAgLS3FeuXLno2rUrLi4uWFlZ8eTJE9avX8/gwYOZNm2a2s19YGAgefLk0Zr7zd7enmvXrhEbG6v2uvJvoEv7kNnn6f3790RHR2s9RyYmJuTJkyfNNjQztpHVlNdFyveym5ubxnXR+/fvmTNnDkWLFmX79u1YWloCSZ+hdu3aMWPGDFq0aIGVlRWnT58mKiqKefPmpXjD7uLigqOjI0eOHKFJkyYaf4eFCxfy4sULtm3bpvpsA7Rv357WrVuzePFijXxg0dHR/Pnnn2kmhM3IdVxISAhDhgzRCNpIWyFtBei3rdi+fbvaA45ChQoxe/Zstev758+fk5CQwI0bNzhz5gyDBg3CycmJy5cvs2HDBu7du8fOnTtVnx3ljfT3339PxYoVmTdvHu/fv2fZsmUMGjSI1atXZ/l1ish+nJycqFSpElu3bqV27dpq19/K91RK7bSu96sKhYKJEycSGxvL9u3b1b4fBg8erOoNFhMTw6RJk6hYsSLr169X9ezq1q0bTk5OTJ8+nQsXLqR5jyDS9tF95tzc3MiVKxf+/v5YWFiQK1cuunXrxrx587hw4YJapDl37twavWlu376Nv78/ffr0UWtATUxMGDBgAMOHD8fHx0cj6/ygQYPUfm/atCklSpTAx8dHFaw4cuQIhoaGqi6HSt9++y1lypTBx8eHxMREDA0NsbS05Pnz51y+fDnVAEvyN7oysm5oaEjFihW5ceNGmuercOHCWhOFpUWX41Vq27atToGZt2/fcu3aNZo2bar2YTQwMGDo0KEcPHiQI0eOaNy8f/i3gKSLUSDVRMCNGzdWezJnY2NDiRIlePjwoUbCuapVq3LkyBFevnyJg4NDmseizdq1a3Uum/z4UxIdHQ2g9eJG+VQmKioqze20bNlSo3dNt27d6NixIx4eHrRr10510aLcXmr7VNYrOWtra96+fZtmXSBrzlNKicJNTU211jclXbt2pV69eoSGhnL9+nUuXryoeq8l92EQtUmTJri6utKuXTv++9//cvjwYZ33mR6JiYlMmTIFLy8vRo0apXEDsGfPHkqWLEm5cuU0eijVrl2bP//8k+joaK3JjdNSqVIljV5BNWvW5OTJk6rPTXo+4xkp26xZM7XAoImJCX369OGHH35Qq5fy2FNrHzp06KA2C5eTkxOWlpZYWFiobraUKleujKenp0avMV3ly5cvXe/7D3snaqPLZ1WX9qFPnz4ayzp27Ejr1q2ZPn06zZo1Ux1zVFRUqp810Pw85s6dG0Cn9iGzz1NqbSgk1Tmtc5QZ28hqyusiJW3XRWfOnFH1ilUGZgAsLS3p2bMn06ZN4+zZszRv3ly1LR8fHxwdHTV6AaRFoVCwd+9eqlWrhp2dnVpblDNnTipVqsTp06e1HocuM/Vk9DpO27WEtBXSVijrAvppK5o0aULJkiWJjIzkzp07HDt2TOO6Qzns/t27d2oPnZs2bYqlpSVLlixh165dqocVyuHGJUuWxMPDQzVLVK1atWjVqhXz58+X4IzIkJTaaV3vV+/evcuDBw9UQZYPKR82njlzhjdv3jB27FiNIX7169dn+vTpnDlzRoIzmSDV4MzRo0fx8fFR/b5t2zbOnj0LJI1Ng6Q/1vXr1zl37hyVK1cGUHV/9PPzU9tekSJFNGY8UZbR9qS9dOnSABrjoa2srLQ27KVKleLo0aOqoTZ+fn7Y2dlp/ZL/5ptvuHv3LsHBweTNm5exY8cyfPhw3N3dsbOzo3r16nz77bc0a9ZMrWF//vw58+fP5/Tp0xpvTl2n9UsvXY9XKfnTqdSkdu5LliyJoaGh1jw+qW1fW+8qJW3j/q2trcmXL5/Gl6dypon0dJP9UEa/6IKCgtR+NzY2Jnfu3KobaG3jhGNiYgAyPOWkiYkJ/fr1Y8KECZw5c0bVnV25vdjYWI0beOU+td3YKxQKnd+PmX1BYGZmluJY6piYmHQFIooXL656vzVv3pxTp04xYMAADAwMNIZYalu3RYsWeHt78+TJk1S75GfU+vXriYiIYMyYMQwZMkTj9UePHhEdHZ1q76Tg4GCNIWC60PZ5Ul5MKz836fmMp6es8v8PZxtLaX3lezG19kHbU1Rra2utwzKVbXpISEiGbrhMTU0z9L5PSEjQCLKZmZmRK1cutc/qhz62fciTJw/dunVj8eLFXLt2jbp166q2l9KNU0rtg/JvoEv7kNHzlJLU2lBIqnNa5ygztpHVtH0uPrwuUv6vvM5J7sNrn1atWrFnzx6WLVvGunXrqFixInXr1qVVq1YaQ5G0effuHSEhIZw+fTrFtkjbEBNd28yMXMfZ2NhonVFK2gppK5LXRR9tRf78+VXvpSZNmvDdd9/RqVMnoqOjVQ97lds2NDTUGI7erl07lixZwsWLF1XBGWX5du3aqZ3P4sWL4+LiwuXLlzWu5YXQRUrttK73q0+fPgXQyBf6IWXuqZ9++inFMm/evNGlyiINqQZnfH192bVrF5D0h7x06RKXLl0C/m20z58/j4WFBS4uLkyePDnVnen7gik1Li4uHDlyhNOnT3PhwgUuXLjAvn378PDwYNOmTeTOnZuIiAjc3d2Jioqid+/eODg4YGFhgaGhIcuXL9dbAtYPZfV51rZ9GxsbAFUSVG1Smoo4tSmKU7tAU9KWqBQ0gyypsba2VgWIlBczSsr8QHZ2doD27sbKZcoyGaG8yE7+hCb5PosVK6axTwMDA637DA0NVf1N0pLR85QSOzu7FLtkBwQEaO1irKt69epha2vLpk2b0gzOgPo5zYrgTJ06dbh06RLbtm2jVatWGgEThUKBg4ODKqGbNrr+nT70sZ+bT+lzax+03TilxsbGBiMjI169eqXRdb99+/bMmDFDp/bhY977KbUPDx8+1BiOoNyntmEMyr+BLu+7jJ6nlFhbW2NmZqb1HMXGxhIcHEy1atVS3UdmbCO7MTExYe3atdy8eZNTp05x+fJlFi1axJIlS5g7dy5NmzZNdX3l56R27doMHDhQ5/1mpEefrlK6TpG2QtoK+LzaCicnJ8qWLcumTZtUwRll8MbKykrjvCn/vslviO3t7bl//75aHhqlfPnyoVAoCAsLk+CMSDdt7XRW3K8q29Aff/xRLZF5ch9zDyT+lWpwZsSIEar8F05OTsyePVuVDNXb25uJEyfyww8/aAy5UUbXdJmPXVlG25hW5bIPb3hCQ0MJCgrS6E3y6NEj8ubNq2rcihQpwqlTpwgNDdV4QvPo0SMsLS1VSfMgKVN+s2bNaNasGfBvsr4dO3YwYMAAzp07R2BgINOmTaNjx45q21uwYEGax5pRuh5veqV27h8/fkxiYqLOs1wUKFAAS0tLVY+qrJA7d25u376tsVxb7x7QDLKkJnkulQ+75irfO3Z2dtjb22sdvqacMSOjyV3h395oyYekVahQga1bt3Lt2jWN4MyNGzcoUaKExtNAPz8/4uPjtT6R1Saj5yklFSpUYO/evbx69UqtR8irV68IDAzUOstHesTExKR64Z6c8omAtguizODg4MDIkSPp3bs3PXr0YP369Wo9y4oVK0ZwcDA1a9ZMM0lkVkjPZzwjZR8/fqxRVtv6yvdiVrcP2nraaWsftN04pUaZH0Fb133lxYiDgwMmJiaqtiA55TJlUr2M0PZeLl++PKdPn+bmzZtqw3FjYmLw9fXVOkRX+TfQpX3I6HlKiaGhIWXLluXu3bsaN4k3b95EoVCkeY4yYxtZTdvn4sPrIuVn6cGDBxq9WVK69nF2dlblnHn16hXt2rVjwYIFquBMSj0clL1UwsPDs2ToREau41IibUXSMmkrPq+2Ijo6Wu26w9bWloIFC/Lq1SuioqLUgo3KvHrJg1rOzs6cOnVKa869169fkyNHDlXPVyGSy8iojPTcryofXN69ezfVbSqvbXPmzClD8LKYzjlnfHx8tEbPN2/erDa+OiwsjC1btmBlZaU2lXZKypUrR8GCBfH29mbAgAFqMy2tXr0aAwMDrQ3+ihUr1BLkHjlyhCdPnqiGg0BSd8STJ0+yYsUKtZwUJ0+e5M6dO7Rp00Z1w/Tu3TuN4ytXrhzw79MDZZT/wycwp0+f1infjPK4nj9/Ts6cOVXTAutCl+NNr7x58+Li4sLx48e5f/++KreLQqFgxYoVAGk+kVMyMjKiatWqOp+HjChevDiHDx/m5s2bqgtU5RTo2mQ0l0pqjU6rVq1Ys2YNx44dUwUZEhIS2LhxI1ZWVmqzI0VFReHv70+uXLnUosnBwcFqQUFI+tysXLkSY2NjtcSxjRs3ZurUqXh5edG6dWvVe/DYsWO8ePGCUaNGadRR+TfQ9elxZueccXV1Ze/evaxfv15tCuj169cDaMx29ejRI4yNjdUSQGoLRkJSku+wsDC1vAKRkZEYGRlp5GG4c+cOBw8epFSpUqkml/xYpUuXxtPTUy1AoxzC0K5dO2bNmsXatWu15ld48+ZNlgWOIH2f8fSUtbW1pVKlShw7dkxtyFhsbKzWz6ONjQ2lS5fWejOSWZTtQ/LeWbGxsXh5eWmUzWh+hNS67ltYWNCwYUOOHDmCr6+v6rMSERHBjh07KF68uFoy17CwMFWSTuV3T3x8PFFRUWr5NCDpxmfLli3kzp1bbea2li1bsnz5ctavX692c7Vt2zaioqK0ziyXnvYhK/JtuLq6cvXqVbZu3ao2I48ywWDyfFwpfV+mZxv6oMt1UZ06dTA3N2fjxo106NBBlXcmPDycjRs3Ym5uTp06dQDt1yf58+fHxsZG7YZR+aDm/fv3aje+hoaGtG7dGi8vLw4ePEjz5s016vz27VudctVpk9HrOG2krZC2QulTtxUpXXecP3+eBw8eaNzTtGnThmXLlrF161a1/D+bN28G1Gd3cnV1ZdmyZWzfvp3OnTurkqn6+vpy/fp1atWqle5cUuLrkLxd11V67lednJwoXbo0O3fuxN3dXSMYq0yTULduXfLmzcvKlStp2bKlRjAxOjqa+Ph4tRxqImN0Ds6kNK45T548dO7cWZXo19vbG39/f6ZOnarT8BojIyN++eUXRowYQadOnVRTgf31119cv36dIUOGaOQ4yZMnD0eOHCEwMJDq1aurppa2tbVVm+mmffv27Nq1i5UrV/Ly5UuqVq3K8+fPVWXHjh2rKtuyZUsqVaqEs7MzdnZ2BAUFsW3bNoyNjWnVqhWQNE1vvnz5mDlzJi9fviR//vzcvXuX3bt34+DgwP3799M83oxMpa3r8WbEpEmT6NmzJ+7u7nTv3p18+fJx/PhxTp8+jaura7pm8mnevDknTpxQC55kpi5durB27VqGDx9Or169MDY25tChQykOa8qKyO6gQYM4dOgQP/zwA3379sXe3p59+/Zx69Ytpk6dqtYo3bx5k169eqm6Miu1bt2a6tWr4+DgoJqtaefOnQQFBTFhwgS1cfM2NjaMGjWKmTNn0qdPH1xdXQkICGDt2rWULFmS3r17a9Tx5MmT5MmTJ9VpzZPL7PP07bff0rBhQ9auXUtYWBiVKlXi+vXr7NixgzZt2mg8oWvZsiWFChXi2LFjqmWDBg0id+7cVKpUiYIFCxIWFsaVK1fw8fEhf/78fP/996qyz549Y+DAgTRu3JjixYuTM2dOfH192blzJ0ZGRhoJs7NCqVKl2LhxI71796ZXr16sW7eO0qVL06tXL86ePcusWbM4f/48NWvWxNLSEn9/f86fP6+aBjYrpecznp6yEyZMoGfPnri5ueHu7q6aSjulz2Pz5s1ZunQpgYGBWdL11d3dnf3799OnTx+6detGXFwcu3fv1vo9lNn5EZR++OEHzp8/T79+/ejTpw8WFhZs376dgIAAli9frvYETDnl8YgRI1Tv58jISBo3bqxKSGltbc2TJ0/Yvn07kZGRzJ07V60Ls6OjI+7u7mzcuJERI0bQoEEDHj16hKenJ9WrV9d6w3Xy5EkcHBzSnBoXsuY8KadtnjFjBi9fvqRUqVKcPHmSI0eOMHToULWgQkrfl+nZBsCff/6Jv78/kBToiIuLY+nSpQAULFiQdu3aZeox6nJdZGVlxbhx45gyZQpdunShffv2QFIA+tmzZ0yZMkV14+3h4cGZM2f49ttvKVy4MAqFguPHj/P48WMGDBig2q8yQficOXNo3bo1pqamlC5dGgcHB8aMGcPVq1cZPXo0LVq0oGLFihgbG+Pv78/ff/9NuXLlNGZr0lVGruNSI22FtBXw6duK//73vwQFBVGzZk0KFixITEwMt2/f5sCBA1hYWKg9bAIYOHAghw8fZubMmTx58gQnJyeuXLnC3r17qVmzplrgp2TJkgwYMIDly5fTo0cPWrVqxfv37/H09MTMzExtRllALY3EP//8AyT15le2CRmdfUxkPxUqVMDQ0JBly5bx/v17zM3N0xyZkp77VQMDA6ZNm0afPn3o3Lmzairt0NBQLl26RL169ejZsyfm5ubMnDmT4cOH07x5czp27EixYsUIDQ3l8ePHHDlyhCVLlkhC4EyQYnBm4sSJGBgY8Ntvv2FkZKSRM0HZ3TFPnjwkJCSwdOlSYmJi+Oabb1QXBrpq1KgR69atw8PDg9WrVxMXF0epUqU0pt1WMjc3Z/369UybNo25c+eiUCioV68eEyZMUPsiNzY2ZvXq1Xh4eHDgwAGOHDlCrly5aN68OaNHj1YbctGvXz9OnjyJp6cnYWFh5M2bl4oVKzJ48GDVUw0rKytWrVrF7Nmz2bhxI/Hx8ZQvX56VK1eyY8cOnYIzGaHr8WZEhQoV2LJlC4sWLWLz5s1ERkZSpEgRxo0bR79+/dK1rZYtWzJjxgx2796dJcGZIkWK8McffzBv3jwWLlxI7ty5adu2LR07dqRFixaZvj9t8uTJw+bNm5kzZw5eXl5ERkbyzTffMH/+fJ2f1rq6unLx4kXOnDlDeHg4lpaWODs7M336dLVeM0r9+vUjd+7crFu3ThUAat68OePGjdMY0hQZGcmRI0fo1q1bmrlhstLChQtZunQpe/fuZffu3djb2zNy5EiNIZAp6dy5M4cPH2b79u2EhISQI0cOihQpwsCBA+nXr59azyNbW1tq1arFhQsX2Lt3LzExMeTLl4+WLVsyaNAgnS4sM0Px4sXVAjRr167FycmJ5cuXs2nTJnbv3s3ixYuBpO7tFSpUUN2QZaX0fMbTU9bFxYW1a9cyd+5cVqxYQa5cuWjWrBlubm5a2//OnTvj4eHBvn370t226KJKlSrMmDGDZcuWMXv2bOzs7HBzc6N8+fJaZzXJCsWKFVO1DytWrCAuLo6yZcuyatUqnW5czMzM+O6777h586Yq2XuePHmoXbs2AwYM0Nqu/vTTTxQqVIitW7dy4sQJ8uTJQ48ePRg5cqTGUDo/Pz+uXLnCL7/8kmnHnF4mJiasW7eOBQsWsG/fPkJCQihatCi//PKLxqx9mbWNnTt3cvHiRbVlCxcuBJJyimV2cGbcuHFcvnyZTZs28ebNG0qUKKH1ukg5AcHq1av5448/gKSnmH/88QdNmjRRlWvSpAlBQUEcPHiQN2/eYGZmRrFixZg6dSqdOnVSlatSpQrjxo1jy5Yt/PLLL8THxzNixAgcHBzIlSsXmzdvZs2aNRw8eBAfHx+MjIzInz8/VapU0XqtlR7pvY5LjbQV0lbAp28rWrVqxe7du9m9ezfv3r3DwMCAggUL0rVrV/r376/R293S0hIvLy8WLlyIj48PO3fuxN7eniFDhjBs2DCNnDpjx46lUKFCeHl5MWvWLMzMzKhRowajRo3S6K1w/vx5lixZorZszZo1qp8lOPP1KFiwINOmTWPlypX8+uuvxMXF0b59+1RHp6T3ftXZ2ZkdO3awdOlS/vrrL1XvO2dnZ9VkP5CU93HHjh2sWLGCPXv2EBwcjJWVFUWLFqVPnz44Ojpm2Xn4mhgoUsiS5uTkhIGBATdu3MDExERjOEPy1ZQRfgMDgzTHrH2snj178vLlS7Wn7F+y7Ha8K1asYPny5fj4+Mj4WT1Yv349CxYs4NChQ5KYS3x2Jk+ezJkzZzh48CDGxsb6rs5XZ9q0aRw8eJBDhw591gn6sytlLj5dcnOJ1ElboV/SVgghhH6kmKHS19eXu3fvqp6++/r6qv2bPn06kJQgVLksqwMz4vPXu3dvrK2t1SL84tOIjo5m5cqV9O/fXwIz4rM0atQoQkJC8Pb21ndVvjqBgYFs2bKFMWPGyM2W+OxJW6E/0lYIIYT+6JxzRghdmJqaZptePl8aMzMzTp8+re9qCJGivHnzcuXKFX1X46tkZ2fHzZs39V0NIXQibYX+SFshhBD689HBmSdPnhAfH0/VqlUl07gQQgghhBBCCCFEOqWYc+ZDq1ev5tKlSyxbtky17IcffuDAgQNAUrJW5QxCQgghhBBCCCGEEEI3Ovec2b9/v2qaRoBz586xf/9+WrVqhaOjIx4eHqxatUpjqrnUxMbGsnDhQnbv3k1oaChOTk6MGTMmXdM3Q9J0dn///Te9evVi0qRJ6Vo3ubJly5KYmChztIuvUnh4OIaGhty5c0ffVcly0vYI8fn4mtqez4m0O+JrJ22PfkjbI75mabU7KSYE/tDLly/VpqT18fEhX758zJkzh0GDBtGtWzeOHz+erspNmDCB9evX06ZNGyZNmoShoSEDBw7k2rVrOm/jxIkTXL58OV37TUliYiI6diQS4oujUChITEzUdzU+CWl7Pk8KBURGJv1Lz+lQKBRExkUSGRcp5zEb+prans+JtDviaydtj35I2yO+Zmm1Ozr3nImKilLLKXP+/Hlq166tmka7VKlSbN68WeeK3bx5k/379zNx4kT69OkDQLt27XB1dWXOnDl4eXmluY3Y2FimT59O//79Wbx4sc77TokygptZN1xCZCdVq1bVdxU+CWl7Pl9Pn0KJEkk/P3kCxYvruF7IU0osTFrxyagnFM+t44ris/C1tD2fG2l3xNdO2h79kLZHfM3Sand07jljb2/P/fv3gaReNA8fPqRatWqq10NDQ1XTbuvi4MGDGBsb07lzZ9UyU1NTOnXqxJUrVwgMDExzGxs2bCA6Opr+/fvrvF8hxNdN2h4hhBBCCCHE50bnnjMNGzZk06ZNJCQkcOPGDUxMTPj2229Vrz948IBChQrpvOO7d+9SokQJLCws1JY7OzujUCi4e/cudnZ2Ka4fFBTE0qVLmTx5Mjlz5tR5v0KIr5u0PUIIIYQQQojPjc7BmeHDh3Pv3j02bdqEiYkJP/30k2pmpujoaI4cOUKnTp103nFQUBD29vYay/PlyweQ5tPrefPmUaJECdq2bavzPsXn53FQOPtuvuLik3c8fRtBfIKCvJYmlC1gxXfl8tPAIR8mOXTu4CVEmqTt+XIoFArO+Z3jz7t/qpZN+3saDUs0pGXpllibWeuvckIIoaPtl1+w4u/H1PnGlsmuZTE0NNB3lYQQQqTT8XuBzDp4j1GNS9O8fP4MbUPn4Iy1tTXr168nPDwcU1NTjI2N1V7fuHEj+fPrXono6GiNbQCqvDYxMTEprnvz5k3+/PNPPD09VTlvRPby5E0Esw/5cuDWa43XXodGc9s/lO1X/CicJyejGpemU5XC8rcWmULanuwvITEBz5ueTP17Ko+CH6m9tvLaSlZeW4mpkSn9XPoxqd4kClnp3qtTCCE+pYeBYUzwvkVCooIHgeGULWBFl2pF9F0tIYQQ6XDb/z3DNl4lKi6BC0/eZn1wRknbtGdmZmY4OTmlaztmZmbExcVpLFfeGCVPPpycQqHg999/57vvvpNEXtmQQqHA8/wzph24S3RcUqbqAtZmfFfWHsf8VpjmMOTV+yjOPX7LuUdv8QuO4v923GTPDX/mdK6IvZWZno9AZHfS9mRvT4Kf0N27O+f9zquWfWPzDQ/fPQSgZqGaXHt9jZiEGDwue+B1y4sFzRbQp1IfCagJIT47Wy+9ICHx35lrNl54JsEZIYTIRoLCYhi4/jJRcQkUyp2T4Q2/yfC20h2cefr0Kc+ePSM4OFjr6+3atdNpO/ny5dM6fCAoKAggxZwPR44c4ebNm4wZMwY/Pz+118LDw/Hz88PW1hYzM7mJ/9zEJSQy0fsWO64k/d0KWpsxvoUTrs4FMfqgC++IRqV5+iaCOYfvse/mK049eEPbJWdY1bsq5QvJUAWRcdL2ZF9HHx+l47aOhMaEAuBW3o1J9SZhYWKhmq1pc6fN2JrbsubaGqb+PZWgyCD67enHxZcXWdRiEcZGmr2mhBBCXw7eTupBXKtkXs49fstNv/f4h0RRMLfkNBNCiM9dTHwCQzZewf99NOYmRqzqXRVbS+0PenWhc3DmzZs3jB8/nrNnzwJonZ/ewMBA5+CMk5MTnp6eREREqCXmvHHjhup1bfz9/UlMTKR3794ar3l7e+Pt7c3KlSupX7++TvUQn0ZMfAKDNlzh5P2kG+A2FQsytX15rMxSvlEqbmvBku6VcXV+zf9tv8Hr0Gi6LD/Hhn7VqVrc5lNVXXxhpO35fJmbQ4cO//6c3I47O+i+sztxiXHkt8zPhnYbaFqqKQCBEYF0KJO0ormxOZYmloysMZLuFbozaO8gdvnuYtmVZbwMe8mOLjswMdJ9ZkEhhMgqr95H8eJdFAD/19yRXqsvEh4Tz6Wn72hbSYZjCiHE50yhUPDzrn+48iwYAwNY0LUSZQpYfdQ2dQ7OTJkyhbNnz+Lm5kbNmjXJnTv3R+24efPmrFmzhu3bt9OnTx8AYmNj8fb2pnLlyqqEnf7+/kRFRVGqVCkAGjVqROHChTW2N3z4cBo2bEinTp0oV67cR9VNZK74hERGbr6mCsyMblKaUY1L6zzEoHn5/JTMZ0HftZd4GRJFn7WX2DigBpWK5M7CWosvlbQ9ny87O9i5U3P5gQcH6LajGwmKBMrmK8vhHofV8sjYWdixs4vmirbmtuzosoP/HP8PU09NZe/9vbjtdGNrp63kMEx3x1EhhMhUl54m9UI3NzHCuZA1LkVzc+rBG648C5bgjBBCfOZWn37C9v+NCBn3nSPflctYnpnkdL46PXv2LN26dWPy5MkfvVOAihUr0rx5c+bMmUNQUBBFixZl165d+Pv7M336dFW58ePHc/HiRe7duwdA0aJFKVq0qNZtFilShCZNmmRK/UTmUCgU/LL7Hw7dDgDgp5ZODKpfKt3bcbDPxZZBNemy/Byv3kfTf90l/hxehyI25mmvLEQy0vZkLxdfXqTz9s4kKBKolL8SPr18sMmpe885QwNDfmv0GzmNczLp2CS873oz9tBYFrVYlIW1FkKItF17nhScqVQkNzmMDHEpmodTD95w7XmIfismhBAiVcd9A5l24C6QNCJk2Lfpv7/VRuc5ihMTE9Od9Dcts2bNomfPnuzevZupU6cSHx/PihUrqFKlSqbuR+iP14XnbL74AoARDb/JUGBGqYiNOV4DapDb3Ji3EbEM3HCZiJj4zKqq+IpI25M9BIQH0G5LOyLjIimRuwR/uf+VrsBMcj/V+4nxdcYDsPjiYlZeWZmZVRVCiHR7EBAOQNn/dYMvVzDp/weBYWpJgoUQQnw+HgaGMXLzNRIVULGwNbM6OWfapBM695ypWrUqvr6+mbJTJVNTU8aPH8/48eNTLOPp6anTtpRPt8Xn48qzd/y69zYALSvk54fvHD56myXzWbLUvTK9Vl/E93UYE71vsbBbJZmFRaSLtD2fp9evoVevpJ/Xrkug91F3XoW/IpdJLv5y/4v8ltq7i74Of02vXUkrbmi/IcVy0xpP407QHfbe38vwA8OpUrAKlQtUzpJjEUKItNwPCAOSegcn/z86LpEX7yIpbmuR4rpCCCE+veCIWPqvv0xYTDz2Vqas6FUVM2OjTNu+zj1nJkyYwJEjRzh06FCm7Vx8eYKjgll5ZSU/+/yXrht/JzohDAd7S2Z3qphpAZTapWyZ3LosAHtu+ON99WWmbFcIoV/R0XDkSNK/OX8vweeJDwBr2q7B0dYx5fXiozny+AhHHh8hOj46xXKGBoZ4dfDCMa8jcYlxuHu7ExkXmenHIYQQaXkfGUdgWAwA39hbAlDUxhzTHEmX5vf+F7gRQgjxeYhLSGT4pqs8exuJaQ5DVvaqir1V5s7SqnPPmf/+979YWFgwevRo7OzsKFKkCIaG6rEdAwMD1q9fn6kVFNmDQqFg8vHJzDk3ByMDIyLiIjFQmIDZEtqUHo25SebOYNOzZjFOPXjDkTsBTN79D1WK5ZEnTEJ8QRZfXAzW8H317+lUtlOmbTeXaS42ddxEzVU18X3jy7jD41jaammmbV8IIXTxIPDf4Etpu6TgjJGhAd/YWXLbP5T7r8NolgnJJYUQQmSOKXvvcPbRWwBmd66Ic+Hcmb4PnXvO+Pn5ERcXR4ECBTAyMsLf3x8/Pz+1fy9evMj0CorsYfLxycw7P4/o+Ggi4iIABQqDGBQGsay7uYTJxzMnkbSSgYEBMzs6Y29lSkRsAj/uvEmijM8W4ouRkBiPY15HZjWdlenbrlygMr81/A0Aj8senHx6MtP3IYQQqXkQmJRvpoC1GbnMjFXLS+VLCtQ8fSu9+oQQ4nPhef4ZnuefAfB9o29oU7FgluxH554zx44dy5IKiOwvOCqYOefmpDicIDIukjnn5vBD7R/IbZY70/ZrY2HCzI7O9Fl7iYtP3rH9ygu6VtM+m44QIrsxYE3bNZjlyNzuokrjao9jl+8uLry8wOB9g7kx5AamOUyzZF9CCPGhZ/8LvhTPq97rt+j/ZqF8/i7ik9dJCCGEprMP3/DfPUl5VJuVs2dMk4/Po5oSnXvOCJGSHXd2YGSQeiIkIwMjtt/enun7/tbRjraVkiKXv++/S9D/xm8LIbIfv1A/1c99XfpSu0jtLNuXkaERy12XY2RgxL2395h5ZmaW7UsIIT70IjgpOFPEJqfa8qJ5lcEZ6TkjhBD69vRNBEO9rpKQqMApfy7mdamEoWHWTUST7uCMn58f27dvx8PDAz+/pAvp2NhY/P39iY2NzfQKis/f6/DXaSbVjIyL5HX46yzZ/y+uZbHOaUxodDxT99/Jkn0IIbLe9FPTVT//UOuHLN9fxfwVGVtrLAC/n/qdx8GPs3yfQggB4Pe/4EuRPOZqy5U9ZwJCY4iOS/jk9RJCCJEkNDqOARsu8z4qjrwWJqzqXRULU50HHmVIuoIzs2fPplmzZvzyyy8sWrRIlWMmNjaWVq1asWnTpiyppPi85bfMj7mxeaplzI3NU5ze9mPZWpryU0snAHZf9+fKs3dZsh8hRNY58fQEBx7sV/1uYfJpEnz/p8F/KGxVmNiEWCb6TPwk+xRCiBfBUQAUsVG/fiqW99/fX0jvGSGE0IuERAUjN1/jYWA4xkYGLO9ZhcJ5Ur/fzQw6h362bNnC6tWr6dmzJw0bNqRfv36q1ywtLWnUqBHHjx+nT58+WVFP8RnrVLYTww98n2qZBEUCnct1zrI6dK5SBM/zz/jnZShT9t1l19DaWdrlTAiRcecevSU2PlH1e3xiPIMPDweTcPLU3kXtQs258TqCZzG6JfkOiYnGtWRPAG48j+ZZQFCa65jkMKRWqbxYmFgwrdE0ev3Zi223tzG6xmhqFamVsQMTQggdRMTE8y4iqbf5h8Oa7HOZYZLDkNj4RJ6/i6S0fS59VFF8QUJDQ5k9ezZHjhwhOjoaZ2dnJk6cSJkyZXRaPzExkU2bNrF161aePXuGubk55cqV4z//+Q9Fi0quR/FlmnnQlxP3kq4np7WvQNXiNp9kvzoHZzZt2kTTpk2ZNGkSwcHBGq87Ojpy6dKlTK2cyB5y5rDCjk74K3agMNDM+WJubM7YmmMzNRnwhwwNDZjsWo4uy89x40UIe274086lUJbtTwiRcbHxibwMiVL9ftJvG49C7mBgYcDY/xhT0jqICCAiRNctmuPmMBWAiCiIiIpKozwUyv3vDZG7szsLLyzkyqsrjD08lrP9zmJgIMFdIUTW8Av+t436cFiToaEBRfLk5FFQhCppsBAZlZiYyKBBg7h//z79+vUjT548bNq0iZ49e+Lt7a1TcOXHH3/k6NGjdOrUiV69ehEeHs7NmzcJCQmR4Iz4Im2//IIVfycNdR9QtwSdqxb5ZPvWOTjz9OlT3NzcUnw9T548WoM24su3/uxTjCK6kds4gQjTXcQmJAVocubIiQIFY2uOZUrDKVlej+olbGhVoQD7b71ixl++NCuXn5wmqScqFkLoV1xiDDsfLgCgdoG2lLR2/uR1MDQwZF6zeTRY14DzfufZcWdHlvb0E0J83ZTDlUxzGJIvl+YscQVzJwVnXr1PO9AsRGoOHjzItWvX+OOPP2jSpAkALVq0oFmzZixZsoRZs2aluv6+ffs4ePAgXl5eVKxY8VNUWQi9uvz0HZN2/QNAA4d8TGypWw+zzKJzzhlTU1OiUnka6e/vj5WVVaZUSmQfIZGx/HH8IQYYMKr6z1wccEH12i8NfuHVD6/4rdFvn+wp9IQWTpgYGfI6NJoN555+kn0KITLu+IvNvI1+iZFBDjqWHqu3etQvVp+2jm0B+M+J/5CQKIk4hRBZQzlTU+E8ObVeHxW0TurZ9+p99Cetl/jyHDp0CDs7Oxo3bqxaZmNjQ4sWLTh69ChxcXGprr9+/XqaNGlCxYoViY+PT/VeUIjs7mVIFEM2XiE2IZFS+SxY3N0Fo0+cJkPn4IyzszNHjhzR+lpMTAy7d++mcuXKmVYxkT38cfwhodHx5DLNwfeNSmNtZq16za28W5YOZdKmiI057jWTulh6nHxEaHTqXzpCCP2Jjo/kz0dLAGhQqAsmESWZ1Ds/k3rnJzhI915vwdEBTDrbiklnWxEcHZDh+ih7+N19c5ct/2zJ8HaEECI1L/83rCml5JIFcpsBEpwRH+/u3buUK1dOIwhYoUIFIiIieP78eYrrhoeHc+vWLRwdHZk8eTIuLi5UqlQJV1dXTp8+ndVVF+KTioiJZ8D6y7wJj8U6pzGre1fDysz4k9dD5+BM//79uX79Ov/3f//HvXv3AHjz5g2nTp2iZ8+eBAQEqCUJFl++V++jWH/2GQBDG5bCxsJEzzVKMuzbbzA3MSIkMo7Vp57ouzpCiBQceb6e97FBGBua0u6bkcTHwdN7Jjy9Z0J8OuKq8YmxPA39h6eh/xCfGJvh+jjbO9O5bNJwpl9P/kp8YnyGtyWEECl5FZoUdClgbab1deXyVyHSS0F8nKCgIOzs7DSWK5cFBgamuO7z589RKBSsW7eO8+fP89///peZM2cCMHjwYG7evJk1lRbiE0tMVPDDthvcfRWKkaEBHu6VKW77aWYN/ZDOwZnatWvz3//+l0OHDtG3b18gKUHUoEGD8PX15bfffsPFxSXLKio+Px4nHhGbkEi+XKb0rV1C39VRyZfLlL51igOw+vQTgiMyfrMmhMgaUfHh7H3iAUCTIj3Ia1ZAzzVK8p8G/8EAAx68e4DXTS99V0cI8QUK/F9wxt4qpeBM0rCmgLAYEhJ1m7VOfPkSExOJiYnR6Z9SdHQ0JiaaD0+Vy6KjU+6dFRmZNPwuIiKC9evX07FjR9q1a8f69esxMTFh+fLlmXyEQujHgqP3OXj7NQD/bV2W2t/Y6q0uOicEBujatSuNGjXi4MGDPH78GIVCQfHixWnRogX29vZZVUfxGXr1PootF18AMKRBqc8u8e6geqXYcO4ZYdHxLDv56JMncxJCpM7nxUYi4t5jYmhG65LD9F0dlXJ25ehWvhub/9nMryd/pXuF7hgbffpurUKIL9frNIIzBf83rCkhUUFQWAz5U+hhI74uly5dolevXjqVPXfuHDY2NpiZmREbq/mQUrnMzCzl95apaVKy6sqVK1OgwL8PUPLmzUvt2rW5evVqeqovxGdp7w1/Fh17CECPmkXpWau4XuuTruAMQL58+ejZs2dW1EVkI8uS9Zpxr/H5TaNnbW7M4PolmXP4PuvPPWVg/ZLYWmrOiCCE+PRiEqI58GQVAI2KdMfaVH9PKLT5T4P/sPX2Vp6EPGHr7a30cO6h7yoJIb4QCoWCgNCkng35rbVfl+T/X88ZAP/3URKcEQCULFmS6dOn61TW0tISSLpv0zZ0SblM25AnJeVrtraa39F58+YlNDRUp7oI8bm66RfCuO03AKhVMi//aV1OzzVKZ3AmOjqaFy9eEB4ejqWlJUWKFEk14iq+TK/fR7P5f71mBtcviZnx59VrRqlvnRKsOv0kKffM6SeMb+6k7yoJIYCDjzfzPjYIIwNjWhYfqO/qaHC0daRT2U5su72NGadn0L1CdwwNdB4FLIQQKQqOjCM2PhFIueeMpWkOcpnlICw6nlch0fD5PQMTepAvXz46dOiQrnWcnJy4du0aCoVCLSnwzZs3MTc3p2jRlN9c9vb22NraEhCgmWg/ICCAPHnypKsuQnxOAkKjGbjhMjHxiRTLa85S98oYG+n/Wk+nGly7do1+/fpRtWpV2rRpQ/fu3WnTpg3VqlWjf//+khDqK+Nx4iGxCYnYWpriXqOYvquTIgvTHPSrk5QLx/PcM95HysxNQuhbXEIcm33/AKBeoQ7kzVlQzzXSbkKdCQDcDrrN/vv79VwbIcSXIiD03xwf+VMIzkDy6bQlKbDIuObNmxMYGIiPj49q2bt37zh48CCNGzfG2PjfYbvPnz/XmL2pefPmXLt2jUePHqmW+fn5cebMGWrXrp31ByBEFoiOS2DQhssEhMZgaZqDVb2qkuczmdgmzeDMgQMH6NmzJ2fPnsXOzo5vv/0WV1dXvv32W/Lly8eZM2fo3r07hw4d+hT1FXqWvNfMkAYlP7tcMx/qXbs4uUxzEB4Tz7qzT/VdHSG+elv+2cLriOcYYEjrEkP1XZ0UuRRwoVmpZgBMPz0dhUKScgohPp4y34yxkQF5zFO+GVAOZZLptMXHaNasGZUqVeLHH39kyZIleHl50atXLxITE/n+++/Vyvbp04c+ffqoLRs8eDB58uShd+/eLF++nFWrVtGjRw9MTU0ZPnz4JzwSITKHQqFg/M6b3PB7j4EBLHZzobR9Ln1XSyXVYU1v3rzhl19+wdbWlunTp1OrVi2NMmfPnmXixIlMmjSJqlWrkjdv3iyrrNC/laceZ4teM0rWOY3pWasYS088Ys2ZJ/SvVwJL03SnWhJCZIJERSLTTyeNl6+Z35X8FuqzvJlbJtKm93vVz7oyN7aiTcnhqp8zy4S6Ezj06BDn/M5x+vlp6hWrl2nbFkJ8nQL+F2yxy2WGoaFBiuWUSYGl54z4GEZGRqxYsYJZs2bh6elJTEwMFSpUYObMmRQrlvZ1vJ2dHV5eXsyYMYPly5ejUCioXLkyP/74o07rC/G58Tj5iN3X/QH4qUUZGjqlnHdJH1K9S925cycxMTFs2bKF0qVLay1Tu3ZtVqxYQYcOHfD29mbgwM8vf4DIHCGRsWy+mNTdsX/dEp99rxml/nVLsObME95HxbHx/DOGNCil7yoJ8VXac28Pd9/cBaBNKc0ZmiysFHQd+j7d27Uwtqarw48fXb8PNSjWgJqFa3Le7zzTT0+X4IwQ4qMpe86kleQ3v1XSsKbX0nNGfCRra2t+//13fv/991TLHTt2TOvy4sWLs2zZsqyomhCf1OHbr5l96B4AnaoUZkC9Emms8emlOqzp/Pnz1K1bN8XAjJKjoyP16tXj7NmzmVo58XnZeP4ZkbEJWJrmwL1m9slOlzdZL59Vpx4THZeg5xoJ8XWad24eADULNKFors9/ensDAwNV7pm/Hv7FzQDJryaE+DjKnDOp5ZuBf2dyUs7sJIQQIuPuvgpl9NbrKBRQpVgefm9fXi1J9uci1eDMw4cPqVy5sk4bqly5Mg8fPsyUSonPT3RcAmvPPAXAvUZRrMyMU1/hMzOofklMjAx5Ex7LlovP015BCJGpLvtf5tTzUwB0dhyi59rorrVja8rYJgWS5p+fr+faCCGyO2Wwxc5K+zTaSsqZnAJCo0lMlJxXQgiRUW/DYxiw/jKRsQkUtDZjWY8qmOb4PEeApBqcCQsL0zq3vTa2trYy3/0XbMcVP95GxGJiZEi/up9fF7C02FuZ0bFKYQBWnX5CfILu+SyEEB9PGdhwtnemsr324UFvA40Y1a4go9oV5G2g7l+ab6NfMepEHUadqMPb6FeZUl8lQwNDxtQcA4DXTS9ehWXu9oUQXxflMKW0es4U+N9sTfGJCt5ESO8ZIYTIiNj4RIZuvMrLkChyGhuxsndV8uVKPTiuT6kGZ6Kjo9WmWEtNjhw5iI2NzZRKic9LQqKClaceA9DepZDqaU52M6h+SQwMwC84ir/+ea3v6gjx1XgZ+pJtt7cBMLrG6BS7kSbGw5vXOXjzOgeJ8bpvPzExnjfRfryJ9iMxPSvqqIdzD2zNbYlLjGPppaWZvn0hxNcjQOecM/++LnlnhBAi/RQKBb/8+Q8Xn74DYH7XipQraK3nWqUuzam0P8exWOLTOvjPa569jcTAAAbWL6nv6mRYCVsLmpXND8Dyvx/J1LhCfCJLLi4hPjEeOws73Cq46bs66ZbTOCdDqyZN++1x2YOoOJk9RQiRfjHxCbyNSHqQmdaDLqucOchpnNSDUIIzQgiRfmvPPGXr5RcAjG3qQPPyBfRco7SlOafwpEmTmDx5cpobSkiQJKtfIoVCwbKTjwBoWsaeb+ws9VyjjzOoQUkO3n7NPy9DOffoLbW/0W3YnhAiYyJiI1h+ZTkAw6oOwyyHGRCm30plwLBqw5h5ZiZvo97iedOTQVUG6btKQohsJijs3+FJaQVnDAwMyG9txpM3EareNkIIIXRz8n4QU/ffAcDVuQDfN/pGzzXSTarBmWrVqn2qeojP1LlHb7n1Mmlq28FfwBTUlYvmoXpxGy4+fceyvx9LcEaILLbhxgaCo4MxNTJlaLWh+q5OhuW3zE/3Ct1Zd30dC84vYEDlARgapNn5VAghVJIHWdLKOQNgb2XKkzcRvJKeM0IIobNHQeGM2HSVRAVUKGTN7E4Vs81ooFSDM56enp+qHuIz5fG/XjPVi9tQpVgePdcmcwyqX5KLT9/x9/0g7r4KpUwBK31XSYgvUqIikQUXFgDgXsEdOws7/VboI42pOYZ119dx981dDj08RIvSLfRdJSFENvL6fVLPGSuzHOQ0STvpuTIp8GvpOSOEEDp5HxnHgPWXCYuOxy6XKSt7VdWpvf1cyGM/oSE4GFauhO//L5oD23OSEJ2DwQ2yb66ZDzVysqNUPgsAVvz9WM+1EeLL9deDv7j/9j4AY2qN0XNtPp6zvTNNSjYBYN75eXqujRAiu3mtYzJgJeXQJ8k5I4QQaYtPSGT4pqs8eROBSQ5DVvSqqnN7+7mQ4IxQUSjgl1+gYEEYMwaWzDEl+FhZ/P9ownEvO76U/LmGhgYMrp80RGvvDX9ehkhyTyGygnL67KYlm1Lerryea5M5lNNqH318lFsBt/RcGyFEdhL4v+CMrrNeFvjfTYX0nBFCiLRN3X+X0w/fADC7kzOViuTWb4UyQIIzQmXyZJg3D6KjISICwABFXA4S442YP98AHfJCZxttXQpil8uU+EQFa04/0Xd1hPji3Ay4ic8TH+DfgEZaLKwS6f59MN2/D8bCKlHnfVkYW9PdcRLdHSdhYZy1UyQ2/6Y5TrZOwL/BJyGE0MXrdAZnkveckRkmhRAiZZsuPGfd2acADPu2FG0rFdJvhTJIgjMCSBrKNGcOREZqfz0yMun1kJBPWq0sY5rDiL51SgCw5eJz3kfG6blGQnxZFpxfAICTrRPNvmmm0zrmlgpauYfRyj0Mc0vdb0TMja1oVWIQrUoMwtw4a3NIGRoYMrrGaAC8bnkREB6QpfsTQnw5AlTBGVOdyiu740fGJhAWE59l9RJCiOzs/OO3TN79DwBNy9oz7jtHPdco4yQ4IwDYsQOM0siVZGQE27d/mvp8Ct1rFMXCxIiI2AQ2Xnim7+oI8cUICA/A65YXAKNrjP7iZjXqWbEnNjltiE2IxeOyh76rI4TIJgJDkxIC6zJTE/w7rAkgQPLOCCGEhudvIxm68QrxiQqc8udiftdKGBpmj5mZtPmyrphFhr1+nXKvGaXIyKRyXwrrnMZ0r1EUgLVnnhIdl6DnGgnxZfC47EFsQiw2OW3oWbGnvquT6cyNzRlSZQgASy8tJTpebppE1gsMDGTOnDn07NkTFxcXHB0duXDhgr6rJdJB2XPGTsfgjK2lKUb/u8mQvDNCCKEuLDqOARsuERwZh42FCSt7VcXSNNXJqD97OgdnoqPlS+FLlj8/mJunXsbcPKncl6Rf3RLkMDTgTXgMu6691Hd1hMj2ouOjWXppKQBDqgzB3DiNhiWZoFdG9G9UmP6NChP0SvdpD4Oi/Oh/pCz9j5QlKMov3XXOiOHVh2NsaExQZBCbbm36JPsUX7cnT56wcuVKAgICcHTMvl22v1bhMfFExCY9BNI154yRoQF2uZKGQL2SnjPZ0qVLl3T6J4RIn4REBaO3XOd+QDjGRgZ4uFemiI3u15yfK51DS3Xr1qVVq1Z07tyZ8uW/jFk3xL86dYKRI1Mvk5AAnTt/mvp8KgWsc9K2UiF2XvVjxd+P6VK1iOoplRAi/Tbd2kRQZBDGhsYMrz48fSsrIDrSUPWz7uspiE6IUP38KRTMVZCu5buy8eZGFpxfQN9KfTEwkLZDZJ1y5cpx/vx58uTJw9GjRxk+PJ2fL6FXAcl6vuiacyaprBmv3kfLsKZsqmfPnjp9N9y9e/cT1EaIL8fsQ/fw8Q0EYGq78tQomVfPNcocOgdnKleuzI4dO9i2bRsODg507tyZNm3aYGWVtckXxaeRJw+M/SGRGbMUJMZpPrE2N4exYyF37k9ft6w2pEFJdl7148mbCI7ceU3z8gX0XSUhsiWFQqFKBNy1fFcK5iqo3wplsTE1x7Dx5kZuBd7C54kPTUo20XeVxBfM0tJS31UQH0EZnDEwSBqupCtlfppXMqwpW5o+fbrGsvj4eF68eIG3tzeFCxema9eueqiZENmX91U/lp18BEC/OiXoWq2onmuUeXQOzqxYsYKAgAC8vb3x9vZm6tSpzJ49myZNmtC5c2dq1qyZlfUUn0DNzq+xPBZB6MWSkJAUoMmZM+lB9NixMGWKniuYRUrb56JJGTuO3g3E4+RjmpXLL0/AhciAY0+OcSvwFoBqRqMvWeUClalfrD5/P/ub+efnS3BGCJEiZTLgvBamGBvpnvJROWOT9JzJntq3b5/ia/3790/1dSGEpqvPg5mwM+las75DPn5q6aTnGmWudCUEtre3Z+jQoRw5coR169bRtGlTjh49St++fWnatCnLli0jIED3aUVjY2OZPXs2devWxdnZmS5dunDu3Lk01zt8+DCjR4+mUaNGVKxYkebNmzNz5kzCwsLSczgiGYVCwYq/H5On/n06/MdXtfyXX+DVK/jtt6SnPV+qwQ1KAXDjRQjnH7/Tc22EyJ7mn58PQL2i9ahSsIqea/NpjKk5BoADDw7g+8Y3jdJCiK/V63ROo62kDM5IQuAvj7W1NZ07d2bVqlX6rooQ2YJ/SBSDNlwhNiGRkrYWLHZzIUc6gt3ZQYaPpmbNmsyZM4fTp0/TunVrXrx4wcKFC2ncuDHDhg3j5s2baW5jwoQJrF+/njZt2jBp0iQMDQ0ZOHAg165dS3W9X375hUePHtG2bVt+/vln6tati6enJ25ubsTExGT0kL5q5x6/5dbL9wD0aVhYtdzN7cscyvShasVtqFIsDwDL/36k59oIkf3cf3uf/Q/2A/8GLL4GrR1aUzJPSQAWnl+o59oIIT5XAargjG7JgJWUw5peS8+ZL5KVlRUvXrzQdzWE+OxFxsYzcMNl3oTHYGWWg1W9q2Kd01jf1cp0GQ7OBAcHs27dOtzc3NizZw85c+akQ4cOdO7cmQsXLtCtWze2bduW4vo3b95k//79jBs3jh9//JGuXbuyfv16ChQowJw5c1Ld96JFi9i7dy+jRo2ic+fO/Pzzz0ydOpUHDx6wf//+jB7SV235yccAVC2WhwqFrfVcG/0YXD/pBuvEvSDuvgrVc22EyF6UgYkSuUvQxrGNnmvz6RgZGjGqxigA1t9Yz9vIt3qukRDic6Qc1pTRnjNvI2KJiU/I9HoJ/YmJiWHPnj3Y2trquypCfNYSExWM236D2/6hGBka8Id7ZUrm+zLzsKVrInCFQsGpU6fYsWMHx48fJy4ujrJly/Kf//yH1q1bq5LVjR07lu+//56lS5fSpUsXrds6ePAgxsbGdE42/Y+pqSmdOnVi/vz5BAYGYmdnp3XdGjVqaCxr0iRprP+jR9LrIb3uvgrl5P0g4N/hPV+jJmXs+cbOkoeB4Sw/+YgF3Vz0XSWRRWJjY1m4cCG7d+8mNDQUJycnxowZQ61atVJd7/Dhwxw4cICbN2/y9u1bChQoQMOGDRk2bBi5cuX6RLX//ARHBbPuxjoARtYYiZGh7tNg64uVWbq+/lLVt1Jffjn+C6Exoay4soKJ9SZm2raFEF8GZc8Zu1wZ6zkDSQGeL2Gq2K/JxInavw/ev3/P9evXeffuHT/++OMnrpUQ2cuiYw84cOs1AJNdy1KvdD491yjr6Hx1umDBAv78808CAgLImTMn7du3p0uXLlqn1c6VKxft2rVLsUGCpCnjSpQogYWFhdpyZ2dnFAoFd+/eTTE4o82bN28AyJMnj87riCQr/07qNVMqnwWNnex4/lzPFdITQ0MDBtUvyY87brL35ivGNXOkcB65CPoSTZgwgcOHD9OrVy+KFSvGrl27GDhwIJ6enri4pByU++WXX7Czs6Nt27YULFiQe/fu4enpyalTp9i5cyempul7IvqlWHl1JZFxkeQyyUU/l34Z3k6u3IkM+jmp50mevAq+dcxHVGwCt/1DCY+JT3k9ExsGlZ+j+lkXxkaGnHv0ltj4xAzXN7nmxd3Zds+DeecWUS1vL4yNTNJcx97KlODIuEyrQ0aZ5DCkVqkvYwpKIT5XAWEZHNZk/W/516HREpzJZnbt2qV1ubW1NSVKlGDixIm0bt36E9dKiOxj/81XLDj6AAC36kXpVauYnmuUtXQOzixbtoxy5coxbNgwXF1dMTdP/cuhXLlyDB8+PMXXg4KCsLe311ieL19SJCwwMFDXqgGwcuVKjIyM+O6779K13tfOPySKPTf8ARhUvySGhupZf9MRH/sitK1UkLmH7xEQGsOqU0/4b5ty+q6SyGTKIZUTJ06kT58+ALRr1w5XV1fmzJmDl5dXiusuWrRIo+de+fLlGT9+PPv376dDhw5ZWfXPUlxCHIsvLgagv0t/rEytMrwtM3MFDVwjkn42NiRfrqRZTUrks+BJUESKQRqzHBY0KNxZY3laYuMTeRkSleH6Jlc7fw+231vOm6jX7Lq3gzoF056BI6+FSabWIaMK5c6p1/0L8aVTKBQE/G9YU37r9AXxzYyNyG1uTEhknOSdyYZ8fSVRvBAZ9c/L9/yw/ToANUrY8Gubcl/8jLo6B2d27dpFmTJldN5w6dKlKV26dIqvR0dHY2ysmcRH+eQ5PYl99+7dy44dOxg8eDBFi34585x/CqtOPSE+UUG+XKa0cymk8Xqifh/ofnKmOYzoX7cE0w74svXSC0Y1Lk0ei7SfgIvsQ4ZUZi7vu974hfphgAHf1/g+07YbHZfIX7deU66gFSXyWVDKzjLNII0+5ctZmOr5W3Dh9X7+erqa2gXaffEXEOLTW7p0KfBve7N7926uXLmClZUVPXr00GfVRCreR/3bQy69w5ogaWiTBGeEEF+TwLBoBm64THRcIkVscuLRowomOb6smZm00Tk4M336dIYOHZpiTobz58+zdOlSNmzYoNP2zMzMiIuL01iuDMroOjzg8uXLTJo0iW+//ZZRo0bptI5I8jY8hk0XnwHQv24JTHNo5ol48wYsv8x8Sylyq16UxcceEhYdz4ZzzxjVJOUgo8h+ZEhl5lpwYQEA7ZzaqWYtyiiFAhL+F3PJa2WMmbEhT99GEBAaTXFbC/Jbm6mCNK/fR3PjRQjBkXEoFAoSFEnfJ0YGxnoLirQo1p8Lr/fzJPQW94Iv4WRTXS/1EF+uhQvVZwTbuXMnAIUKFZLgzGdM2WsG0j+sCZKGNvm+DpPptLOpvXv34uXlxbNnzwgJCdF43cDAgDt37nz6ignxmYqOS2Cw5xVevY/GwsSI1b2rYfOVPCzXOThz8eJFtSfNH3r37h2XLl3Secf58uXTOnQpKCgpMa0uN0e+vr4MHToUR0dH5s+fj5HR55+E8nOy+vQTouMSsc5pTI+aX/b4vfTIZZZ0PjxOPGL9uacMql+SnCby3vpSyJDKzHPe7zzn/c4DMLrm6I/e3ptXRozuUIgaNeD8+ZTLGRoYUDB3TuytzNh66QVvovwY/XddABbUP00+8yIfXZeMKJ2nCqWsXXj0/hp/PVslwRmR6e7du6fvKogMUCYDNjI0IG8GbjBkOu3sa+nSpSxevJi8efPi4uKCtfXXOSOqELpSKBT85H2La89DMDCARW4uONh/PZNuZNp0FaGhoZiY6P6F4+TkhKenJxEREWpPsG/cuKF6PTXPnz9nwIAB2NjYsHz58jRz4Ah17yPj2HAuqddM3zrFsTTNvJlLvgR96xRn9aknvIuIZcul5/StU0LfVRKZRIZUZp4F5xcAULlAZeoVrZdp2713D+69iMTa6t/uq0aGBlia5sDM2BADAwMUCsVneaPSonh/ltwYwZWAwwRGPsfO/Ot7Xwgh1P07U5OpRm4/XSiTAkvPmexn06ZNVK9enVWrVmm99hBCqFvx92O8r70EYHxzJxqX0Xyg+iVL9Y7c19dXLZHV5cuXSUhI0CgXEhLC5s2bKVVK92mYmzdvzpo1a9i+fbsqKWdsbCze3t5UrlxZ9WTb39+fqKgotW0HBQXRr18/DAwMWL16NTY2us3OIf617uxTwmPisTTNQZ/axfVdnc+OXS4zOlUtzKYLz1l28hFu1YtiZiy9Z74EMqQyczwOfsz2O9sBGFNzTKYOJQoJgYOXg8lXMAErsxyUL2RNsbzmGBgYkJCo4FFgGHf8Q4mM1fw+0rfq9i3Ia1aQt9H+HHq2lp5l/qPvKgkh9CwwLOn7xS4DQ5pAes5kZxEREbRo0UICM0LowOduADMOJsUeOrgUYnD9jxsunx2lGpw5evQoS5YsAZLGQ27dupWtW7dqLWthYcGkSZN03nHFihVp3rw5c+bMISgoiKJFi7Jr1y78/f2ZPn26qtz48eO5ePGiWlfeAQMG8OLFCwYMGMCVK1e4cuWK6rWiRYumOhWugPCYeNaefQJAz1rFyG3+dYzhS6+hDUqx7dILAkJj2H75BT1rFdd3lUQmkCGVmWPeuXkkKhIpYlWEruW6Zvr2DQ2SMvOXzGeRLYIySkaGOfiuWG8235vOCb+tdPxmDObGGZ/BSgiR/Sl7ztjnSt9MTUr2/+s5ExAaTWKiIkO9b4R+lClThlevXum1DqGhocyePZsjR44QHR2Ns7MzEydO1HmilwMHDrB27VoeP36MsbExDg4ODBkyhNq1a2dxzcXX5N7rMEZuvoZCAS5FczOtQ4WvcmKFVIMz7du3p3r16igUCnr37s3gwYOpU6eOWhkDAwPMzc355ptvdH7irDRr1iwWLFjA7t27ef/+PY6OjqxYsYIqVaqkup6yN8+qVau01lmCM6nzOv+MkMg4zIwN6V9XhuukpIiNOZ2qFGbLpRcsPfGILtWKaE2aLLIXGVL58YIiglhzbQ0AY2uNxdgo858IWuY0opSdZbYJyiTXsLAb3g8XEJ0QwQm/rbQsMVDfVfr/9u48Lqqqf+D4Z2bYQQQENxBwA3dU3JdcsDRb3HJNSX007cl8NH1Ky/qVqT3lkqa2WOa+5a6VmluW5i5iCpkiLuDGvsMAM78/RlBkG2CGYfm+e/mSufeee78Qc7zzved8jxDChLKTM8UcOVPrUXImQ6MlKkmNSzGTPKL0TZkyhbfeeovevXvTpEmTUr++RqPh9ddf559//mHs2LE4OjqyceNGRo0axY4dOwqdkr1hwwZmz55N9+7dGThwIGlpaWzfvp2xY8eycuXKXJ8LhSiO6CQ149aeJUmdSa2qVnw7yrfSzlgoMDnj6uqKq6tueeVPP/2UNm3aUKeO4QotWlpa8u677/Luu+/me8y6detybZOCeMWXmp7Jd3/cAHSrEjnbyT/wBXmzRwO2ng/jXlwq286H8Wp7KZxc3smUypJbdmYZKRkpOFo5Mq71OKNcIz45k31/3SM1XUNKevlIymSxNa/KM66DOXh7LQduraa3xxhUSqnrJURllTUdqYZ98e65aj6R1HkQnyrJmXKkXbt2zJ07lyFDhtCyZUtcXV1RKnMuB6xQKJg3b55Rrr9//34CAgJYvnw5vXr1AuD555+nd+/eLFu2jM8//7zA9uvXr6d58+Z888032aMY+vfvT5cuXdizZ48kZ0SJqTM0vLH+PHeiU7AyV/KdfxuqVyleIrsi0PtuccCAAcaMQ5SSDadvE5moxkKl5PVKOI+vqOo42TCwlStbz4fx1dEQBvvWwcJMWXhDUWbJlMqSSVInseysbrrrm23fxM7CzmjXiknOXRuovOjj8S8O3V5PZGoYJ+/voUvtgaYOSQhhIncfJWdqO1gXq31Va3OszJWkpmu4F5dKM1dZ8ae8CAwMZMaMGWRkZHDu3DnOnTuX6xhjJmcOHDhA9erV8fPzy97m5OTE888/z08//UR6enqB9XASExNxd3fPMb3E3t4eS0vLIs+YEOJpWq2W/9tzhdOh0QAsHNyy0vdv+SZndu3aBUC/fv1QKBTZrwvTv39/A4QljCFZncHXv10HYEhbN2pVLd5NQmUzqWcDdgSEEx6bwvYLYQxvJ6uvlHcypbL4VgasJDolGkuVJW+1f8vU4ZRZNW09aV/zBU7d38ueG1/RqVZ/lApJ7ApR2aRlZBLxqCBwce+7FAoFNe2tuBmVLCs2lTNz587F3Nycr776ijZt2mBvX7o1yIKDg2natGmu2h3Nmzdny5Yt3L59u8AFXdq1a8e+fftYt24dPXr0IC0tjVWrVqHVann11VeNHb6o4NaevMWmM7cBmNKrIS+0qGXiiEwv3+TMjBkzUCgU9O3bFwsLi+zXWq0235MpFApJzpRha/68RWSiGkszJW/1bGjqcMoNj2q29G/pyvYLYSw/ep1XfN0wV8mHrPJMplQWT3pmOgtPLgRgTMsxVLctvHhyUdg7aZg2PyL7a73bWTozrfXK7K/Lin713+TU/b2EJ17j/MNfaVujj6lDEkKUsgdxadlf13Yo/lD9GlnJmbgUQ4QlSsnVq1eZNGkSPXv2NMn1IyIi6NChQ67tWYsfPHz4sMDkzHvvvUdUVBRz5sxhzpw5ADg7O7N27Vq8vb2NE7SoFI5fi2T2T0EA9G1ek8ny2RQoIDmzdu1aACwsLHK8FuVTfGo63xwLAWBUB49iF6WrrCb1bMDOgDDCYlL48dwdqT0jKqUtV7ZwO+42SoWSaZ2mGfz8llZaWnct+gcPS5U1rav3Mng8JeVepTGtXPwIiDjMnpDltKneu1KuPCBEZXb3iWRKzarFv/fKKgp8/4lkjyj7qlWrZrBltDUaDenp+k33zZpylJqamv1Z7klZ21JTCx6JZW1tTb169ahVqxbdunUjKSmJ1atX88Ybb7Bx40aD1iIVlUdoZBL/3nCeTI2WprXtWTDYR1aheyTf5Ey7du0KfC3Klx+OhxKXko6NhYqJ3fPPkIu81XW2ZVBrN7aeD2PJoWsMbOWGtUXlrCIuKqdMTSbz/tDNiR/UeBANnBqYOKLyoV+9NwmIOMyN+EtcjjpOc+eupg5JCFGK7sbqkjPOdpYlWvHxyeW0RfkxcOBA9uzZw8iRIzEzK1lh+LNnz+Lv76/XsSdPnsTJyQkrKyvUanWu/VnbrKwKThhOnjwZS0tLli9fnr3Nz8+P3r17s3jxYhYuXFiE70AIiEtJ519rzhKfmoGznSXf+bfBxkIWTcgiP4lKICZJzco/QgEY09lTVmgqpinPerE78C4PE9L44UQob/aQD6ei8tgWtI3gyGAAZj0zyyjXyMyA+Bjdhxd7x0xUev4LlanJIF4dpWtnUa1MrYzU0NGXxk4dCI4+xe4byyQ5I0Qlc+9RMWDXEkxpAqj1aMTzPZnWVK74+vry22+/MWTIEEaMGIGbmxsqVe4kXdu2bQs9V7169XIsXFAQOztdsX4XFxcePnyYa3/WtqzpTXm5c+cOf/zxR65ixQ4ODrRu3ZqAgAC9YhEiS0amhrc2BXAjIgkLMyUr/H2LXSi9osr3Dvbs2bPFOqE+nYsoXd/8HkJCWgZVrMx4vauMmikuVwdr/Dt48P3xUL45FsKr7d1xsMk9VFSIikaj1fDJ758AMKDRAFrUaGGU60Q/VDFloCsAi3eE41JbvyW0o1PvMeX3Lrp2zxzHxaZsDbPuV28SwdGnCI4+xT8x5/BybGPqkIQQpST80ciZki7CUDN75IxMaypPxowZk/31rFmzck1t1Wq1KBQKgoODCz2Xi4sLAwcWbeW/Ro0aERAQkH2dLJcuXcLGxgZ39/wXuYiMjAR006melpGRQUZGRpFiEWLeL3/z+z+62oL/G9ic1u6OJo6o7Mk3OTNq1KgizY0vSuciSs+d6GRWnbgJwIRn6lHVxjDzXiurN3s0YMvZOySkZvD1byHM7NvY1CEJYXQ7gndwJeIKAB8884GJoyl/mlXrQj37FtyIv8TOkC95t43UcBOisrj3KDlT0qfDWbUCE9MySEhNp4qV3M+VB/qOdDGWPn36cODAAQ4fPkyvXrrabNHR0ezfvx8/P78c9XBu39atmpOVsPHw8ECpVPLLL78wePDg7OPu37/PuXPnaN++fSl+J6K823L2Nj+c0M3kmNCtHgNbu5k4orIp3+SMqTsTYRjzD1xFnaGhpr0V/+pSz9ThlHuOthZM6FaPBb/+w+o/bzK6s6csSS4qtCdHzbzs/TKtalX85cINTaFQ0L/BZBZdGMelyGNcjTmLt6OMMhWiMsia1lSSlZog58ibB/GpkpwpJwYMGGDS6/fu3ZuWLVvyzjvvMHbsWBwdHdm0aRMajYa33norx7GjR48G4MiRIwA4OTkxaNAgtm7dymuvvcZzzz1HYmIiGzduRK1WM378+NL+dkQ5dSY0mlm7LgPg16g67/RuZOKIyq58kzOm7kxEyV28E8uewLsATO/tLQVsDWRsl7qsOXmLiIQ0Fhz4h4VDfEwdkhBGs/vv3Vx6cAmAD5/50MTRlF+tXXpRr6oPN+IC2XZtIe+322zqkIQQpSDcQCNnnO0sUCpAo9Wt2NSgehVDhCcqOJVKxYoVK/j8889Zt24daWlpNG/enM8++wwPj8JXHv3oo49o1KgR27ZtY8GCBQC0aNGC+fPn4+vra+zwRQVwJzqZievPk56pxauGHYuHtUQlKzPlq+xUTRQGpdVqmfNo7fimte0Z2MrVxBFVHDYWZkzt5cV7O/9i+4UwRnZwp5XMmRQVkEar4aNjHwHwQsMX8K0tN2LFpVAoGNxwOp+dG0VQ9EmuRJ2ghWtfU4clhDAi3RQkXV2OWiVYRhvATKXEpYolD+LTpCiwKJKqVasyd+5c5s6dW+BxWSNmnmRmZsbIkSMZOXKkscITFVhiWgbj154jOkmNo4053/u3lVF/hVDmt+Pu3bvcvXs31+vC/oiyYf/l+5y7FQPA+y80lrXjDWxo2zo0rW0PwEd7g9BotCaOSAjD2/TXpuxRMx91/8i0wVQAzat1xduxHQBbry1Eq5V+Q4iKLCwmOftrV8eST4Gu+WhqkyynLYQo6zQaLVO3XOTv+wmYKRV8PdIX92o2pg6rzMt35EzPnj1RKpVcvHgRCwsLevbsqVeBYCkIbHrJ6gzm/Kz7/9CrcXU61Xc2cUQVj0qp4P9easqQb08SeCeWHQHhvOIrha1ExaHOVPPBUV3x38FNBtOmtqwwVFK60TPTmHNmKNdiz3M87BBNnLqZOiwhhJHcitIlZ6zNVbjYWZb4fDXtLQnkcR0bIYQoqxYevMrBoAcAzO7XjA71qpk4ovIh3+TMm2++iUKhwMzMLMdrUfYtPXKd8NgULMyUzHqhianDqbDa1XXiZZ/a7Am8y2f7/6Z30xoyVE9UGN+e+5bQ2FBUChVzes4xdTgVRmOnDjSr1oXLUcdZev4TlvfqauqQhBBGcvtRcsbdycYg99C1ZOSMEKIc2H0xnOVHQwAY3cmTEe3zX7Jd5JRvcubpCt5PvxZl07UHCXz3+w0A3uhWH09nWxNHVLHN7NuIg0EPiEhIY/Gha3zwoiTDRPmXkJaQvULTuNbj8KrmVSrXrVotk/9bcT/7a73bWbrwf+23Z39d1g1uOJ3LUccJjrrEoZvbaOr4kqlDEkIYwe3oR8kZAw3lz1pOW0bOCCHKqot3YvnvNt2U+C4NnJn1QmMTR1S+5FtzRpQ/Wq2WD3ZfJkOjxaOaDW90r2/qkCq8WlWtmdSzAQCrToQSeCfWtAEJYQBfnPqCiOQIrM2s+bBb6a3QZGEJXi3UeLVQY1GEGQAWKiu8HNvg5dgGC1XJim6WhgYOrehQU5eQWXFpLmmZUtxTiIroVvTjkTOGkFW35k50stSsEkKUOffjUnl97TnUGRrqOtuyfERrzFSSbiiKIv+0Ll26xMKFC5kyZQpTpkxh4cKFBAYGGiM2UUTbL4Rz6kY0AB+93BQrc1k6uzS8/kw9GtWsgkYL726/RHqmxtQhCVFsd+Lu8NmJzwD4T/v/ULtKbRNHVDEN83oXC5UlkSn3+CV0hanDEUIYwe2oJAA8DDRypt6j0dDxqRlEJ6kNck4hhDCEFHUmr687x8OENKpYmfGdfxuq2ki5h6LSOzmTmZnJe++9x9ChQ/nuu+/Yv38/+/fv57vvvmPYsGHMnDmTzEz9h6ELw7ofl8rHe68A0Ld5TXp4VzdxRJWHuUrJ/wa1QKGAv+8nsOLRtDIhyqN3Dr1DcnoyNWxrMLPrzFK9dkY63L5uzu3r5mSkF6GdRs3thL+5nfA3GZry8YHFxaYOI5u+AcDe0K+JSX1g4oiEEIaUqdESFqMbFVfHQCNnnpyqfvNR4kcIIUxNq9Xy322BXAqLQ6mAZSNa06C6nanDKpf0Ts58/fXX7NixAz8/PzZv3sy5c+c4d+4cmzZtomfPnuzatYuvv/7amLGKfGi1Wt7b+RcJqRk42pgzu18zU4dU6bSs48CYTnUBWHL4GtcfJpo4IiGK7o9bf7D58mYA/tfrf9hb2pfq9WMiVMwcWYuZI2sRE6H/yL+Y1AfMPNGbmSd6l6skxzifqThYOpOWmcLWa/NNHY4QwoDuxqaQodFNPfIwUHLGztIMlyq6OZ83IiQ5I4QoG5Yduc5Pl+4BMOuFJnTzKvv1/8oqvZMz27dvp3PnzixbtoyWLVtiZ2eHnZ0drVq1Yvny5XTo0IHt27cbM1aRj+0Xwjny90NAt1SZswGWaxRFN+05L1wdrFFnaJi65SLqDJneJMqPTE0mk/dPBqCdazv8ffxNHFHFV8WiKmOavwPAsfCt/BNzzsQRCSEMJasYsELxuFaMIdR9NHomNFKSM0II09t/+R4LD/4DwNA2dRjT2dO0AZVzeidnoqKi6NmzZ777e/XqRVRUlEGCEvq7E52cPZ3p+WY1ebFFLRNHVHnZWpqxcIgPCgX8FR7HF4f+MXVIQuhtxfkVXLx/EYAv+3yJUiEF3ErDi/VGUde+OQArr7xHhqYI87mEEGVW1ghadycbLM0MVwMwq+6MTGsSQpjalbtxTN2iqz3bztOJT/o3Q6FQmDiq8k3vu29PT08iIiLy3f/w4UM8PT0NEZPQU3qmhrc2BZCQmoGznYW8IcqADvWqMbGbbpWsb46FcOqGJCxF2RceH86MwzMAGN1yNO3d2ps4ospDpVTxr6afokBJWOJV9t9aaeqQhBAGcO1hAgANDVx3IWvkjExrEkKYUkRCGuPXnCMlPRNXB2u+HtkaCzN5sFdSev8EJ0yYwMaNG/n7779z7QsKCmLTpk1MnDjRoMGJgi04cJWLd2JRKOCLoS1lOlMZMbWXF81c7dFq4e0tF4lKTDN1SEIUaNK+ScSnxeNi48KCZxeYOpxKp27V5jzrrptGtuP6YiJSwkwckRCipK490I2caVC9ikHP6/nEyBmNRpbTFkKUvrSMTCauP8/duFRsLVSsHN2GavI51CDM8tuxbNmyXNvc3NwYNGgQnTt3pl69egCEhITw559/4u3tTWhoqPEiFTkc/fsh3z5aFeiNbvXp2lAKL5UVFmZKlgxrxYtfHuduXCqTNwewZkw7zFSSTRZlz47gHez6excAi/sspppNNdMGVEkNbjiNMw9+ITbtIT9ceY93fNfISEghyrGQCF1yxtAjZ+q76M6Xmq4hPDbFYCtBCSGEPrRaLe/vvMz5WzEoFLB4WCsa1SzdBSQqsiIlZ7L8/vvv/P777zm2BQUFERwczJtvvmm46ESeQiISmbw5AABfD0feftbLxBGJp9V3sePzV1rw1qYATlyPYv6vV5n5fGNThyVEDlHJUUz6ZRIAzzd4nuHNhps4osrLxtye1xp/zJKLb3Ap8hhH7mzEz/1VU4clhCiG6CQ1kYlqABrWMGxyxrOaDZZmStIyNATdi5fkjBCiVK08Hsq287oRvtOf8+bZJjVMHFHFkm9y5vDhw6UZh9BTXHI649acIyE1g+pVLFk+orWMyCijXvKpzaWwWL77I5Rvj92gWe2qvORT29RhCQHonnxM+GkC9xLvYWdhx9cvfC0jNUysXc2+dKrVjz/v7WbD1Tk0c+5CDRsPU4clhCiirGLA8Hiki6GYqZR416zCpbA4gu/F07tpTYOeXwgh8nP074fM+yUYgH4ta/Pv7vVNHFHFk29yxtXVtTTjEHpQZ2iYtOkCoZFJWJgpWeHfhppVrUwdlijAu30acTk8npM3opi2NZAa9la0q+tk6rBEJXUyJCp7ifd9NzaxPXg7AG+2nMvNBzbcfJB/0XdDqWGf/5xkx+qZLPjxbvbX+nK0qsmCrkezvy7PRjf5hODoU8SkPeDbv6Yxq90WlArDrfQihDC+oLtxALg5WmNrme+tdrE1rmmfnZwRQojScO1BApM3BaDRgk8dBz4b1EIe6hmB4f/FEEah0WiZvjWQP65FAjD/lRa0rONg2qBEocxUSr56tTWDvvmTGxFJjFtzlu1vdKJhDcMWCBRCH+oMXY2CB8m3WHL+PQDa1nie5o79CI9NKZUYqtla5LvPzAxquWcU+ZxmSnNq2dYrSVhlhq15VcY3+5zPz7/G1Ziz7AxZyqAGU0wdlhCiCP4K1yVNWrhVNcr5G9XS3UP8fT/BKOcXQognxSSpGbf2HAlpGdS0t+K7Ub5YmcuDI2MoUnImIyODQ4cOERgYSHx8PBqNJsd+hULBvHnzDBqg0E0/+L89V9gTqHuiPO1ZL/q1lJFN5YWjrQVrxrRj4Nd/EpGQxms/nGHLhI4yT1yYhDozlS8vvkFqZhKOljV0yzjLk48yxcelO8+5j+bX26vZeX0xXg6+NHfuauqwhBB6+is8FoBmrsZJzjSupSu+eSsqmcS0DOyMMDpHCCEA0jM1vLnxAreikrE0U7LC35fq9jJzw1j07s1jY2Px9/fn2rVraLVaFAoFWq1uCb+sryU5Y3harZZ5vwSz7tQtAMZ2rsukng1MHJUoqjpONqwa3Zah357kblwqw1acYvPrHSRBI0qVVqvlhyvvczP+CgqUvNFiMVUsHE0dVjZ1Gly/rJv21KBZGhZ6rsqozkzleqyuSHoDh1ZYqMr/TcOIRu9xPS6AG3GBLA+czNzOv1DNqpapwxJCFCJZnZFdc6aFq4NRrtGktj0KBWi1cOlOLJ0aOBvlOkIIMXtvEH+GRAGwYLAPLdwcTBtQBad3JdnFixdz48YN5syZw8GDB9FqtaxcuZJffvmFF154gebNm3P69GljxlrpaDRaPth9me/+0C1RPrC1K7NeaCxPucupZq5VWT22HbYWKsJjUxi24hS3o5JNHZaoRPZcX80fd7cBMMz7XZpW62TiiHKKi1Ix980azH2zBnFR+g+XjUuLYO7ZYcw9O4y4NOPXzSkN5kpLJrf8ClvzqiSkR/NlwBuoM1NNHZYQohBX7saj0T27pJmrcZaXtbcyx6u6bmrTuVsxRrmGEEKsO3kze4DA5J4NZGGTUqB3cubYsWP079+fQYMGYWenqzyvVCqpV68eCxYswMrKioULFxot0MpGnaFh+tZA1p+6DcCQNm7Mf8UHpVISM+VZW08n1jyRoBn49Z9cCos1dViiEjh84zBLA2YB0K5GX17wnGDiiERhXKzd+HeLxShQcD0ugG//mo5Gqym8oRDCZM6ERgNQ19kWB5v8a2yVlK+nbtSjJGeEEMbw5/VIPtobBECfpjWZ0svLxBFVDnonZyIiImjevDkAZma62VBqtTp7v5+fH0eOHDFweJVTdJKakd+fZkdAOACjO3nyv4EtUElipkJo4+nE2n+1p6q1OZGJaQz99hQHgx6YOixRgV16cIkBWwaQoUnHzc6b15vPlxF45URLl56M8H4fgFP397LtmjwEEaIsO3VDN/y/Q71qRr1OGw9dcibgVgyZWUN1hBDCAG5GJvHGhgtkarQ0rmXPoqEyQKC06J2ccXBwICVFt5qHra0tZmZm3Lt3L3u/ubk58fGypF9JBd2Np//yE5y5qXvyMu1ZL/7vpSbyhqhgfD0c2f5GJ+o4WZOSnsnr687xxcF/5AZLGNyduDv03dCXBHUCzta1eMd3NdZmdqYOSxTB857j8KszEoDdN5Zx8PZaE0ckhMiLOkPDuZu6kSwd6jkZ9VptPXXnT0jL4MqjpbuFEKKk4lPTGbf2HHEp6TjbWfCdvy82FlJ0vLTonZzx9PTk+vXrukZKJU2aNGHnzp2o1WpSUlLYtWsXderUMVqgFZ1Wq2XViVD6Lz/B7ehkrMx1SzC/5ddQnnBXUA2q27Hz351p5e6AVgtLDl9j1MrTPEyQuhLCMMLiw+ixpgfhCeHYW9rzebdNVLOW+cLljUKh4LXGH9PCuRsAq4M+4OidTSaOSgjxtAu3Y0hJzwSgo5FHztRxsqGusy0AR/5+aNRrCSEqh0yNlsmbArj+MBELlZJvR/ni5iiLl5QmvZMznTt35sCBA9lTmUaPHk1gYCDt2rWjU6dOXL58mddee81ogVZkd6KTGb3qLB/vDUKdqaGusy3bJnaib3NZmaOic7azZMvrHRnT2ROAP0OieHbR72w7H5a9GpoQxREWH0b31d0JiQnB2sya3cN2U8+hianDEsWkUpoxpdW3NHbsAMDKKzP5PXybiaMSQjzpwJX7gK4QcGksNduzUXVAkjNCCMP4375gfruqW1hh7oBm+HoYdwSgyE3v5MzEiRM5ceIEFha64mZ9+/blyy+/pEuXLnTt2pWFCxcyePBgowVaEakzNHz9WwjPfnGMY//o3giv+Lrx01tdaOZa1cTRidJiYabk/15qytevtqaqtTlxKelM3xqI/w9nuPYgwdThiXLon6h/eGbVM9mJmZ9G/ER3z+6mDkuUkKXKmum+P9DQwRctWr79axq/hH5n6rCEEOhGQP96RVc/rneTmqVyTb/GuuTMpbA4wmNTSuWaQoiKaeu5O9krBL/+TD0Gt5EZMaag9wQyhUKRnZjJ8txzz/Hcc88ZPKiKLlOjZWdAOIsP/UNYjO4f05r2Vnz0chP6NJPRMpXV881r4evpyMd7gvj5r3v8cS2S3ot/Z2hbd6b2algqT+FE+ffnnT95edPLRKVEYW1mzd7he+lZt6epwxIGYmVmyzu+q1l4YRx/x5xmw9U5xKY9ZJj3TJQKvZ+3CCEM7NSN6OwESZ9mpZOcaevphLOdJZGJaWw7F8Z/ejUslesKISqWczejeX/nZQB6eLvwbp9GJo6o8ip2dZ/UVF1dDCsr+cCorxR1JjsCwvjheCghEUkAqJQK/Dt6MO05b+wspdhSZVe9ihXLX21N/6AHzP05iJtRyWw6c5vtF8IY2MqVcV3r0aC6FHMVeVsbuJYJP00gNSMVFxsXfhrxE+1c25k6LL1Vq5HJNwfCALC103/J6GrWtfmm50VdO3N7Y4RWptiY2/Num7UsvzSZcw8O8PPNFdxLusHEFouwNZdRl0KUlpiUGLYFbeN+4n2OBKWRSXPaurvRsEaVUrm+uUrJK75ufHMshB/P3eHNHvUxU0mSVgihv7CYZCauP486U0OD6nYsGd5KVgg2oSJlA6Kioli6dCmHDh0iKkq3VGC1atXo1asXkyZNwtnZuUgXV6vVLFmyhN27dxMfH0+jRo2YOnUqHTt2LLTtgwcPmDdvHidOnECj0dChQwdmzpxZ5ooSa7VartyNZ1dAOFvPhxGXkg6AQgEv+9RmSi+v7IJuQmR5tkkNunu7sOnMbZYcukZUkprNZ++w+ewdujRwZpCvK32a1sLaQmXqUEUZkJKewuR9k/k+4HsAGjg1YP+r+6nvVN/EkRWNUgVVquqflMlup1BRxcLRCBGVXRYqK/7T8mvWBn/EwdtruRBxiA9OvsyUVt/gXqWxqcMTRlCSeyZhWFqtlg+PfsiCkwtQKVQkpyeD1gKtlZYODhPRajuV2mIOw9rW4dvfQwiPTWFHQDhDZCqCeMKNGzfYvHkzly5dIigoiLS0NA4fPoybm5ve57hw4QLz588nKCgIOzs7nn/+eaZNm4a1tbURIxelISktg/FrzxOZqMbBxpzv/dtgb2Vu6rAqNb3T63fu3KF///5s3ryZKlWq4Ofnh5+fH1WqVGHz5s0MGDCAO3fuFOniM2bMYM2aNbz88su8//77KJVKxo8fT0BAQIHtkpKS8Pf35/z580ycOJHJkycTFBSEv78/cXGmX04wI1PDuZvRLPz1Kn4Lj/Hi0uN8fzyUuJR0LMyUDPZ1Y99/urJkWKsymZh58ke4aRPExBShberjxpsubyImpQiNRQ7mKiX+HT05/m5PPunXFI9qumrpx69HMnVLIG3nHmLSxgvsDAgjOklt4miFqZwNP0vb79pmJ2Ze9HqRM+POlLvEjCg6pULF6Caf8Hqz+ZgrLXmQfJMP/nyZPTe+IlOTYerwhIEV955JFCw0FPz9wc9P93doaOFtPjz6IYtOLSI1I5Wk9CS0aNEq0kCh5peb3/Ph0Q+NH/gjns62DGjpCsCiX//JfggoBMDFixdZt24diYmJ1K9f9PuC4OBgRo8eTVpaGjNmzOCVV15hy5YtTJ061QjRitKk0WiZ9mMgwffiMVMq+OrV1niWwc+llY3eI2c+++wzYmNjWbZsGb169cqx7+DBg7z99tt89tlnLFu2TK/zXbp0iZ9//pmZM2cyevRoAPr378+LL77IggUL2LBhQ75tN27cyK1bt9ixYwdNmuhWH+natSsvvfQSq1ev5j//+Y++35ZBxKWkczk8jsCwWAJux3IqJIqEtJw3xvVdbBnQypVh7dxxtrMs1fj0pdXChx/C/PmPt33yCcyeDdOn6/7O70FQ1lOk+X8+bvzJsU+YfWw20ztOZ3aP2bIkeDFZW6gY1dGTEe09OPr3Q7ZfCONQ8AMS0zL46dI9frp0D6UCmtS2x9fdkdYejrR2d8TVwRqlDEussBLVicw+NpuFJxei0WpQKVTM7TmX/3b+b7mtPZKaouDSSd1U2RYdU7Gy1m/FstSMZC5F/qZr59wdK7PKtexjN7chuFdpzNLAN3mQfIst/3zGuQcHGNNkDnWrNjd1eMIASnLPJPKm0UC3bnD8eM7t69ZBly5w7Bgo8+hKY1JiWHByAakZqXmeNzk9mQUnFzCt0zQcrBwMH3gepj7rxS+X73E/PpV3tgWyfERrmd4kAOjZsydnz57Fzs6O1atXExQUVKT2ixYtwsHBgXXr1mFrq/vg7ubmxqxZszh58qSM3CvHFh/6h/2PVpj7v5eb0ql+0WbACOPQOzlz8uRJXn311VyJGYBnn32W4cOHs337dr0vvH//fszNzXOs8GRpackrr7zCF198wcOHD6levXqebQ8cOEDLli2zEzMA9evXp2PHjuzbt8+oyZmLd2IJvBNLaGQSoZFJ3IhM5E503hXyvWrY0cO7Oi+3rE2TWvZlPjnx4YewaBGkpT3elvLoW1u0SPf3J5/k0/bRU6S0zMeNUzJ0jRed0jX+pGc+jYVeVEoFvZrUoFeTGsQkqdl3+T5H/n7A8euRpKZruBwez+XweNacvAWAjYWKhtXtaFijCvVd7HB3sqFHIxdsLKS2UXmWqclk9cXVfHD0A+4l3gOgefXm/NDvB9rUbmPi6EomIUbJkvdcAFi8Ixwr60z92qmjWHLxDV27Z45XuuQMQN2qzZnXaT9b/vkfv95eQ0jcRT44+RLPuA5mcMPpOFrVMHWIogRKcs8k8pZXYibL8eO6/X/8kXvftqBtZGoK7psyNZlsvbKV8b7jDRBp4eo42fDBi014f+dlDlx5wMT155k3sDnVq0hdyMrOwcGh2G0TExP5888/+de//pWdmAHo168f8+bNY9++fZKcKaf2Bt7lyyPXARjVwYNRHTxMHJHIUqTVmjw88v8f5+npWaTkQ3BwMHXr1s3xZgdo0aIFWq2W4ODgPG80NBoNV69eZejQobn2NW/enBMnTpCSkmKUeZB/XItg1Mozee5TKKCBix0t3BxoX8+JZxq6ULNq+flHMSYGFiyA1LwfBJGcrNs/bRo83c+XxadIFZ2jrQUj2rszor07qemZnA6N5vzNaM7fjiHgdizJ6kyS1ZkEhsURGPZ4qll3bxdWjyk/BWLFY+pMNRv/2sjnJz4nODIYACszK2Z0nsHMrjOxUFkUcgZR0VmZ2fBak9m0rfE8a4L/j7DEqxwL/5E/7+2mh9swXqg7AWdrV1OHKYqhuPdMJZWWkUlkom7arFarffR37uOytmnR5rHtyeO0ObblPFfu8z99XJ7nz3G8fjGG31Jw/Lg9kP996/HjWn46EU8tt6w6WFriUzLYe+Ui6ZqCpw6la9K5GXuzwGMMbUQ7d8JiUvj6txAOBT/k98+O4teoOm08najjaE01OwsszVRYmaswV+m+b8Wj7//J2/esrxUKRQE/nfKhhr2VFDYtgatXr5KRkUGzZs1ybLewsKBx48YEBwcb7dqxyWqS1fo9oBFFczMyielbAwHoVL8aH77UpJAWojTpnZxp27Ytp0+fZvjw4XnuP3PmDO3a6f+hLyIigho1cj/Jc3HRPTV9+PBhnu1iY2NRq9XZxz3dVqvVEhERgbu7u96x6KuOow2ej+p+1HW2pa6zHXVdbGlY3Y5mrlXL9WpL27aBqpDasioVbN0K4596ELQtaBsqRcGNVQpVqT5FqkyszFV083Khm5fuPZGRqeFmVBL/PEjknwcJXHuQSGhkEg8T0mjtXrmKpuanvBUj/zXkV8buHkt4Qnj2Nn8ff+b0mEOdqlL8UeTUpFpH5nX6haNhm9l2bSEJ6dH8ensNh+9soG2N5+nhNowm1TqV2+lvlVFx75lKIjEtgx4LfiMiIa3wg8uZiL0+QOEruw19PQGXlwJztjUPBhUF5XUAuBNXtDqMJaVQKHintzcNq9sx+6cgYpPT2Xf5Pvsu3y/VOMqSRjWr8MvkrjLFu5giIiIA8v3MdfHiRaNcd1dAOG//eBGNfjObRTF5VLPhq1dbYy5TIMsUvbMJ7733Hv7+/vzvf/9j/PjxVKtWDdCt4LRixQouXbrE2rVr9b5wamoq5ua5q0FbWurqsaSl5X0zkLXdwiL3U+Kstqn5Df8oIU9nW377bw+jnNvU7t/XjY4pSHKy7rhcbRPv61YqKKhtejL3EyvvDUJpMlMpaVC9Cg2qV6Fv81qmDqdMmjFjBr/++iv+/v54eHiwc+dOxo8fz7p162jVqlW+7bKKkSclJTFx4kTMzMxYvXo1/v7+7Nq1i6pVjbOM8cKTCwlPCEelUDGs2TDe6fwOLWq0MMq1RMWgUprRy30kXWoP4GjYJn4OXUFM2gNO3d/Lqft7cbF2o33NF2lT/TlqVe1k6nBFIYp7z1QSWq0WTQX9dJSZqN/I5qePs1ApcbKsRbIeD/Td7PVfDcdQFAoFA1u70adZTX4KvMfv1yL4+34C4TEppKRXvlEIGRotFek3WKPRkJ6uX8HnrL6hJLI+T+X3mctYn7cyK9j/t7Kohr0lK19rg4ONjLoua/JNzvj5+eXalpqaypo1a1izZg329ronDvHx8YBuTuPo0aM5dOiQXhe2srLKs4PJusHIr1PJ2q5W516dJqutlVX5mU5UVtSsCTY2kJSU/zE2NrrjcrW1q4mNuQ1J6fk3tjG3oaZdHo2FKGXlsRj54t6LORBygAGNBuDhIPOChf6szGx53nMcvdxHcereTxwN28TVmLNEpITxU+g3/BT6DU6B1Xk+6Fme8XiGZzyewbuad5mvkVbZFPeeqSSqWJlzYkZPHsY/Tvzk9Wvx5DQYyDmgJHvfE1sfb4OnG+Q5zSa7nX7nR/H0vieP170af0fJ5o25v5enDerqxMpP+mSfy1ypZGVAGG/+srXAqU3mSnPqOtYt/AJGYmNhxpC2dRjSVjeyUqvVos7UkJquIS09M0fSQqvV5poGptXmnEJWXtV2sK5Q05rOnj2Lv7+/XseePHkSJyenEl0v6/NUfp+5jPV5a5CvG894uZCsllUHjaVmVSsszQqZMiFMIt/kTO3atY16YRcXlzyH4WYNoctv7rSDgwMWFhbZxz3dVqFQ5Dn8ThTslVdg8uSCj8nMhCdqET5u2+QVJu8vuHGmNpPBTfNoLEQpK4/FyBu7NKaxS2OjnFtUDuZKS7q6DqKr6yDuJl7nxL1dnHvwK2GJV4lOfciGvzaw4S9dYtLByoEWNVrQonoLWtRoQcNqDanrUBdXe1fMlOV3+m55Vtx7ppKyMlfhXq3iFdieNwc9kjMK5s1VYPXUgKVXmrzCW/veKrClUqEsU/c8CoUCSzOV7sOYde4RWKJ8qFevHp9++qlex9rZ2ZX4elmfp/L7zGXMIuQuVSyBsrm6rRDGlO9d1rp164x64UaNGrFu3TqSkpJyFLgLDAzM3p8XpVKJl5cXly9fzrXv0qVLeHh4GKUYcEXn6KhbLnvRorynN9nYwNtv5y4GDOBo7cj0jtNZdGpRntObbMxteLvD21IMWJQJ5bEYuRCGVNuuAYMbTmdww+ncTwolNPE4d1Mv8Put34lMjiQ2NZbfb/3O77d+z9FOpVBRp2odXKu44mLrgouN7o+zjTPVbKpha26LnYUdthaP/n702sHKAWtzeV+URHHvmUTe6tbVLZed32pNoNuf1zoYjtaO/LfTf+WeR5Q6FxcXBg4cWGrX8/LywszMjMuXL/Pcc89lb1er1QQHB/PSSy+VWixCVBYmewTWp08ffvjhB7Zu3Zo9tUCtVrNjxw5at26dXfju7t27pKSkUL9+/ey2vXv3ZtGiRQQFBWU/wb5x4wanTp1i/NPVaosgMTERrVZLmzbleznakqhb9/FS2lrt42HBlpawb5/uT75tM+qSlqFrrEWbPczY0sySfTv2sY8CGguTS0hIqBRTGcpiMfLS6nsyykD9CCWgyWefVgP16+t+B3/4WIu+9Wq1Wg3103X/RvywaxIKPRoWFEdpKQsxZDFTKvDAAzetG5maTDK1mWg0Gt3f2pxR3n/0n74UKLC1sM131E1l6XtKQt97pqKQex7w9oaMPGZOmJlBSgoU9KORe57yT/qenEJCQrC2ts6ePVGlShU6duzI7t27mTBhQnZiePfu3SQnJ9OnT59iXUf6HlGZFdbvFDk5c/v2bQ4fPsydO7oq9HXq1MHPz6/IH0h8fHzo06cPCxYsyP5As3PnTu7evZtjyN67777LmTNnuHr1ava2ESNGsHXrVl5//XXGjBmDSqVi9erVuLi4ZN+0FIdSqUSjKSu3yqZhZaVLxKSng0YDSiWYm+c9zzxXWzMrLFWWpGvS0Wg1KBVKzFXmlP/FGCsHhUKBUlnxK7aXxWLkpdX3mJWRuff5/pYpnxydV5RYVTioHAo9Su84SlFZiOFJKoUKVWFL9xlYZel7SkLfe6aikHsesLPT3eukpj6+57Gy0v1dGLnnKf8qQ9+TkJCQPRsia3WlDRs2UKVKFWrXrk3//v2zj+3bty/t2rXLMXti6tSpDBs2jFGjRjF48GDu37/PqlWreOaZZ+jUqXjF5KXvEZVZYf1OkZIzixcv5rvvviMzM2fF9/nz5zNhwoQi11v4/PPPWbx4Mbt37yYuLg5vb29WrFiBr69vge3s7OxYt24d8+bN46uvvkKj0dC+fXvef/99HB2Lv1RwUFBQsdsKIcqHsliMXPoeIURhinvPlB/pd4So+OLi4liyZEmObT/88AMA7dq1y5GcyUvTpk1ZtWoVCxYs4NNPP8XOzo4hQ4bw9ttvFzsm6XuEyJ9Cq326Rnvetm3bxqxZs2jVqhXjxo2jYcOGAFy7do2VK1cSEBDA3LlzS3UupBBCFNWYMWOIjIxk7969ObafPHmS0aNHs2LFCrp165arnUajwcfHh6FDhzJr1qwc+xYvXsw333xDQECA1JwRQgghhBBCFJneY/k2btyIj48P69aty57G5O7ujp+fH2vXrqVFixasX7/emLEKIUSJNWrUiNDQUJKeWjdeipELIYQQQgghTEXv5ExISAh9+/bFzCz3TCgzMzP69u1LSEiIQYMTQghD69OnD+np6WzdujV7W37FyJ/u03r37s3FixdzDMnNKkZe3MJ4QgghhBBCCKF3zRlzc3OS81pj+ZGkpKQ8i2wKIURZUhaLkQshhBBCCCEqN71HzjRv3pwtW7YQGRmZa19UVBQ//vgjPj4+Bg1OCCGM4fPPP2fUqFHs3r2bOXPmkJGRUaRi5K1bt+arr75iyZIlNGrUiPXr15eoGLkQQgghhBCictO7IPDZs2cZPXo0tra2DBo0iAYNGgBw/fp1duzYQVJSEqtXr5Y164UQQgghhBBCCCGKQO/kDMCRI0f45JNPuHfvXo7ttWvX5oMPPqBHjx4GD1AIIYQQQgghhBCiIitScgZ0y8levnyZsLAwAOrUqUPTpk1RKvWeISWEEEIIIYQQQgghHtErOZOUlES/fv0YOXKkFL0UQgghhBBCCCGEMCC9hrvY2toSGxuLra2tseMRQgghhBBCCCGEqFT0novk4+PDX3/9ZcxYhBBCCCGEEEIIISodvZMz06dPZ//+/Wzfvp0ilqkRQgghhBBCCCGEEPnQuyCwv78/d+/eJTw8nKpVq+Lu7o6VlVXOkykUrFmzxiiBljcnT55kz549XLhwgfv37+Pi4kLHjh2ZPHkyLi4uhbafMWMGO3fuzLXdx8eHH3/80RghG41arWbJkiXs3r2b+Ph4GjVqxNSpU+nYsWOhbR88eMC8efM4ceIEGo2GDh06MHPmTOrUqVMKkZeOS5cusXPnTk6fPs3du3dxcHCgVatWTJkyBQ8PjwLbLl26lGXLluXa7uzszIkTJ4wVsijDpO95TPqegknfIwxF+p3HpN8pmPQ7Ij8lee+Iwj18+JC1a9cSGBjI5cuXSU5OZu3atbRv397UoZV7JenXnmam74FZqzPVqlULgMjIyCJdqLKZP38+cXFx9OnTB09PT+7cucP69es5evQou3fvplq1aoWew9ramo8//jjHNicnJ2OFbDQzZszg119/xd/fHw8PD3bu3Mn48eNZt24drVq1yrddUlIS/v7+JCUlMXHiRMzMzFi9ejX+/v7s2rWLqlWrluJ3YTzff/89Fy5coE+fPnh7exMREcGGDRvo378/27Zto379+oWeY/bs2TmSpU8nTkXlIX3PY9L3FEz6HmEo0u88Jv1OwaTfEfkp7ntH6Cc0NJTvvvsODw8PvL29CQgIMHVIFYYh+rVsWmEUZ86c0WZmZuba5uXlpf3yyy8Lbf/uu+9qfX19jRVeqQkMDNR6eXlpV61alb0tNTVV26tXL+2IESMKbLtixQqtt7e39sqVK9nbrl+/rm3cuLF28eLFxgq51J0/f16blpaWY1toaKi2WbNm2nfffbfAtl9++aXWy8tLGxcXZ8wQRTkifY+O9D2Fk75HGIr0OzrS7xRO+h2Rl5K8d4R+EhIStNHR0VqtVqs9ePCg1svLS3vq1CkTR1UxlKRfe5peNWeio6MJDAzk9u3bxU0oVTpt27ZFqVTm2ubg4EBISIje58nMzCQxMdHQ4ZWa/fv3Y25uzuDBg7O3WVpa8sorr3D+/HkePnyYb9sDBw7QsmVLmjRpkr2tfv36dOzYkX379hk17tLUunVrLCwscmzz9PSkYcOGev+uaLVaEhMTpR6UkL7nEel7Cid9jzAU6Xd0pN8pnPQ7Ii8lee8I/djZ2eHo6GjqMCokQ/RrWQpMzmg0Gj788EO6dOnCsGHD6N27N8OHDyc6OrroUQuSkpJISkrS+42RlJSEr68vvr6+tG/fnk8//ZS0tDQjR2lYwcHB1K1bN9cy7C1atECr1RIcHJxnO41Gw9WrV2nWrFmufc2bN+fmzZukpKQYJeayQKvVEhkZqffvSvfu3bN/V2bOnElsbKxxAxTlivQ9j0nfUzDpe4ShSL/zmPQ7BZN+RxT3vSNEWVXUfi1LgTVn1q9fz48//kj16tVp2bIlt27dIiAggA8//DDPglyiYGvWrCE9PZ3nn3++0GNdXFwYN24cjRs3RqPRcPToUVavXk1ISAjff/99KURrGBEREdSoUSPX9qwCgfllwmNjY1Gr1XkWEnRxcUGr1RIREYG7u7thAy4j9uzZw4MHD5g6dWqBx9nb2zNq1Ch8fHwwNzfn1KlTbNmyhaCgILZu3ZoriysqJ+l7HpO+p2DS9whDkX7nMel3Cib9jijue0eIskrffu1pBSZndu3aRf369dmyZQt2dnYAzJo1i507dxIfH4+9vX3xIy5HNBoN6enpeh1raWmZ5/azZ8+yfPlyXnzxRdq1a1foeaZNm5bj9YsvvkiNGjVYuXIlJ06coHPnznrFY2qpqamYm5vn2p71c8rvqVjW9rz+oc1qm5qaaqgwy5SQkBBmz56Nr68v/fr1K/DY1157LcfrPn360LBhQ2bPns2uXbsYMmSIMUMVRiZ9T/FJ31N00vcIkH6nJKTfKTrpdwQU/70jRFlUlH7taQVOawoNDWXAgAHZiRmAkSNHkpmZyc2bN4sVbHl09uxZWrRoodefvKZ8hYSEMGnSJLy9vfnkk0+KHcfYsWMB3ZKV5YWVlVWeN3lZnWx+N3ZZ29Vqdb5tK2J1/oiICCZMmEDVqlVZsmRJrjn8+hg+fDjW1tbl6vdE5E36nuKTvqdopO8RWaTfKT7pd4pG+h2RpbjvHSHKmpL2awWOnElJSaF69eo5tmW9Tk5OLmKo5Ve9evX49NNP9Tr2yUQWwL179/jXv/5FlSpVWLFiBTY2NsWOw9nZGXNzc+Li4op9jtLm4uKS51DEiIgIgFy/X1kcHBywsLDIPu7ptgqFIs/hv+VZQkIC48ePJyEhgU2bNhX7+1MqldSoUaNc/Z6IvEnfU3zS9+hP+h7xJOl3ik/6Hf1JvyOeVNz3jhBliSH6tQKTMwAKhSLP15WpQrqLiwsDBw4scruYmBjGjh2LWq1mzZo1ODs7lyiO+/fvk56ejpOTU4nOU5oaNWrEunXrSEpKylHkKzAwMHt/XpRKJV5eXly+fDnXvkuXLuHh4YG1tbVxgjaBtLQ0Jk6cyM2bN1m9ejX16tUr9rnS09O5d+9enoUFRfkifU/xSd+jH+l7xNOk3yk+6Xf0I/2OeFpx3ztClBWG6tcKHWdz7NgxVq1alf1n06ZNKBQK9u/fn2P7qlWrWL16dbGCqIiSk5N5/fXXefDgAStWrMDDwyPfY2/fvp1jmfK0tLQ8l5L86quvAOjSpYvhAzaSPn36kJ6eztatW7O3qdVqduzYQevWrbOLf929ezfXUmO9e/fm4sWLBAUFZW+7ceMGp06dok+fPqXzDZSCzMxMpkyZwsWLF1myZAktW7bM87i8fkZ5DSlfuXIlaWlpdO3a1RjhijJO+h4d6XsKJ32PMBTpd3Sk3ymc9DsiL/q+d4Qoi/Tt1/Sh0BYwBKaoWUqFQiFLnT3y73//m8OHDzNo0CDat2+fY5+zs3OO4nY9e/YE4MiRIwCEhYUxYMAAXnzxRerVq5e9csHJkyfp27cvX3zxRel9Iwbwn//8h8OHD/Paa6/h7u7Ozp07uXz5MmvWrMHX1xeAUaNGcebMGa5evZrdLjExkQEDBpCSksKYMWNQqVSsXr0arVbLrl27irw0WVk1d+5c1q5dS48ePXKtamFra0uvXr2AvH9GPj4+9O3bFy8vLywsLDh9+jQHDhzA19eXtWvXYmZW6OA4UcFI3/OY9D0Fk75HGIr0O49Jv1Mw6XdEfvR574iSyUp6h4SE8NNPPzFo0CDc3Nywt7dn5MiRJo6u/NK3X9NHgb3Y2rVrixeh4O+//wZg+/btbN++Pce+du3aFbjygL29Pd27d+fEiRPs3LkTjUaDp6cnM2bMwN/f36hxG8Pnn3/O4sWL2b17N3FxcXh7e7NixYpCO1o7OzvWrVvHvHnz+Oqrr9BoNLRv357333+/wtykwOPflaNHj3L06NEc+1xdXQt8Q7/00ktcuHCB/fv3k56ejqurK//+97+ZMGGC3KRUUtL3PCZ9T8Gk7xGGIv3OY9LvFEz6HZGf4r53hP6WLFmS43VWf+3q6irJmRIoSb/2tAJHzgghhBBCCCGEEEII4yr6mnVCCCGEEEIIIYQQwmAkOSOEEEIIIYQQQghhQpKcEUIIIYQQQgghhDAhSc4IIYQQQgghhBBCmJAkZ4QQQgghhBBCCCFMSJIzQgghhBBCCCGEECYkyRkhhBBCCCGEEEIIE5LkjBBCCCGEEEIIYQSnT5/G29ubHTt2mDqUYtmxYwfe3t6cPn3a1KFUeJKcEUIIIYQQQgghSkFYWBhLly4lODjY1KFkO336NEuXLiU+Pt7UoVRqCq1WqzV1EEIIIYQQQgghREWj0WhIT0/HzMwMlUrF6dOn8ff359NPP2XgwIGmDg+ApUuXsmzZMg4fPoybm1uOfZmZmWRkZGBubo5SKWM7jEl+ukIIIYQQQgghhBEolUosLS1RqVSlcr3ExESDnk+lUmFpaSmJmVIgP2EhhBBCCCGEEMIInqw5s2PHDvz9/QGYOXMm3t7eeHt7M2rUqOzjtVotGzduZODAgfj4+NCqVStGjRrFqVOncpw3LCwMb29vli5dyi+//MLAgQNp0aIFc+bMASAkJISPPvqIF154gVatWuHj48PAgQPZunVrjvPMmDGDZcuWAeDn55cd09KlS4H8a85ER0fz8ccf061bN5o1a0a3bt34+OOPiYmJyXFcVvuTJ0+ycuVKevXqRbNmzejduzc7d+40wE+44jAzdQBCCCGEEEIIIURF17ZtWyZOnMg333zD0KFD8fX1BcDZ2Tn7mP/+97/8/PPP9O7dm4EDB6JWq9m7dy9jx45l6dKl+Pn55TjnoUOHWLduHcOHD2fYsGHY2dkBcObMGc6dO0f37t1xc3MjJSWF/fv3M2vWLKKjo5kwYQIAQ4cOJTExkYMHDzJz5kwcHR0B8Pb2zvf7SEhIYPjw4dy6dYtBgwbRpEkTgoOD2bRpE6dOnWLr1q3ZcWT54osvSE1NZejQoVhYWLBp0yZmzJiBu7t79s+hspPkjBBCCCGEEEIIYWR16tShU6dOfPPNN7Rs2ZJ+/frl2H/w4EH27t3L7NmzGTp0aPZ2f39/hgwZwty5c+nZsycKhSJ73/Xr19mzZw/169fPca5+/foxfPjwHNtGjx7Na6+9xooVKxg7dizm5ua0atUKb29vDh48SK9evXLVnMnL999/z82bN/nwww959dVXs7c3btyY2bNn8/333zNlypQcbdRqNdu2bcPCwgKAPn364Ofnx4YNGyQ584hMaxJCCCGEEEIIIUxsz5492Nra0qtXL6Kjo7P/xMfH07NnT8LDw7l582aONt26dcuVmAGwsbHJ/jotLY2YmBhiY2Pp3LkziYmJ3Lhxo9hxHjx4ECcnpxwJJNCNwnFycuLQoUO52owYMSI7MQNQo0YN6tatm+v7qcxk5IwQQgghhBBCCGFiISEhJCUl0alTp3yPiYqKom7dutmvPT098zwuKSmJZcuWsW/fPu7du5drf0mWzQ4LC6NZs2aYmeVMJ5iZmeHp6UlQUFCuNnXq1Mm1zcHBgfDw8GLHUdFIckYIIYQQQgghhDAxrVaLk5MTCxcuzPeYhg0b5nhtbW2d53HTpk3jt99+Y8iQIbRt2xYHBwdUKhXHjh1j9erVaDQag8ZeGFntqXCSnBFCCCGEEEIIIUrBk/Vinubh4cHNmzfx8fHB1ta22NeIj4/nt99+o1+/fsyePTvHvj///LNIMeWlTp06hIaGkpGRkWP0TEZGBjdv3sxzlIwonKSvhBBCCCGEEEKIUpBVCyYuLi7Xvv79+6PRaFi0aFGebSMjI/W6RtYoFa1Wm2P7w4cPcy2lXVhMecmqifP0uX788Ueio6Pp1auXXucROcnIGSGEEEIIIYQQohQ0aNAAW1tbNm7ciJWVFfb29jg5OdGxY0f69OnDwIEDWb9+PVeuXKFHjx44Ojpy//59Ll68yK1btzh8+HCh17Czs6Nz587s2bMHKysrmjdvTnh4OFu2bMHNzY3Y2Ngcx/v4+ACwYMECXnrpJSwtLWnYsCFeXl55nn/cuHHs37+f2bNnExQUROPGjQkODmbbtm3UrVuXcePGlfjnVBlJckYIIYQQQgghhCgFVlZWfPHFFyxevJh58+ahVqtp164dHTt2BODTTz+lffv2/Pjjj3z77bekp6fj4uJCkyZNmDZtmt7XmT9/PgsXLuTIkSPs3LkTT09Ppk6dipmZGTNnzsxxrK+vL9OnT2fz5s188MEHZGRkMGnSpHyTM1WqVGHTpk18+eWXHDlyhB07dlCtWjWGDRvGW2+9hZ2dXfF/QJWYQvv0WCchhBBCCCGEEEIIUWqk5owQQgghhBBCCCGECUlyRgghhBBCCCGEEMKEJDkjhBBCCCGEEEIIYUKSnBFCCCGEEEIIIYQwIUnOCCGEEEIIIYQQQpiQJGeEEEIIIYQQQgghTEiSM0IIIYQQQgghhBAmJMkZIYQQQgghhBBCCBOS5IwQQgghhBBCCCGECUlyRgghhBBCCCGEEMKE/h/1lOZLePbbpwAAAABJRU5ErkJggg==\n",
"text/plain": [
""
]
},
"metadata": {
"filenames": {
"image/png": "/home/runner/work/BayesianAnalysiswithPython2nd/BayesianAnalysiswithPython2nd/BayesianAnalysiswithPython2nd/_build/jupyter_execute/Append-01-MCMC_Tutorial_9_14.png"
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{
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\n",
"text/plain": [
""
]
},
"metadata": {
"filenames": {
"image/png": "/home/runner/work/BayesianAnalysiswithPython2nd/BayesianAnalysiswithPython2nd/BayesianAnalysiswithPython2nd/_build/jupyter_execute/Append-01-MCMC_Tutorial_9_15.png"
}
},
"output_type": "display_data"
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
"filenames": {
"image/png": "/home/runner/work/BayesianAnalysiswithPython2nd/BayesianAnalysiswithPython2nd/BayesianAnalysiswithPython2nd/_build/jupyter_execute/Append-01-MCMC_Tutorial_9_16.png"
}
},
"output_type": "display_data"
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
"filenames": {
"image/png": "/home/runner/work/BayesianAnalysiswithPython2nd/BayesianAnalysiswithPython2nd/BayesianAnalysiswithPython2nd/_build/jupyter_execute/Append-01-MCMC_Tutorial_9_17.png"
}
},
"output_type": "display_data"
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
"filenames": {
"image/png": "/home/runner/work/BayesianAnalysiswithPython2nd/BayesianAnalysiswithPython2nd/BayesianAnalysiswithPython2nd/_build/jupyter_execute/Append-01-MCMC_Tutorial_9_18.png"
}
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"output_type": "display_data"
},
{
"data": {
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\n",
"text/plain": [
""
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},
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\n",
"text/plain": [
""
]
},
"metadata": {
"filenames": {
"image/png": "/home/runner/work/BayesianAnalysiswithPython2nd/BayesianAnalysiswithPython2nd/BayesianAnalysiswithPython2nd/_build/jupyter_execute/Append-01-MCMC_Tutorial_9_20.png"
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"output_type": "display_data"
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
"filenames": {
"image/png": "/home/runner/work/BayesianAnalysiswithPython2nd/BayesianAnalysiswithPython2nd/BayesianAnalysiswithPython2nd/_build/jupyter_execute/Append-01-MCMC_Tutorial_9_21.png"
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},
{
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\n",
"text/plain": [
""
]
},
"metadata": {
"filenames": {
"image/png": "/home/runner/work/BayesianAnalysiswithPython2nd/BayesianAnalysiswithPython2nd/BayesianAnalysiswithPython2nd/_build/jupyter_execute/Append-01-MCMC_Tutorial_9_22.png"
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"output_type": "display_data"
},
{
"data": {
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\n",
"text/plain": [
""
]
},
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\n",
"text/plain": [
""
]
},
"metadata": {
"filenames": {
"image/png": "/home/runner/work/BayesianAnalysiswithPython2nd/BayesianAnalysiswithPython2nd/BayesianAnalysiswithPython2nd/_build/jupyter_execute/Append-01-MCMC_Tutorial_9_24.png"
}
},
"output_type": "display_data"
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
"filenames": {
"image/png": "/home/runner/work/BayesianAnalysiswithPython2nd/BayesianAnalysiswithPython2nd/BayesianAnalysiswithPython2nd/_build/jupyter_execute/Append-01-MCMC_Tutorial_9_25.png"
}
},
"output_type": "display_data"
},
{
"data": {
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PXQjxaZHgTCbdu3ePhQsXUqNGjY/qAq9Dhw60adMmQ19aGfXXX39RtmxZatWqlW37yGljxozh6NGjdOnSBWdnZ65du8a8efN48eIFM2bMSHf9FStWcPbsWZo2bUq3bt1ITk7m+PHjTJkyhWPHjrFixQr09PRU5fft28f+/fspU6YMpUuX5t69e6lu28bGhtatW7Ns2TJ69eqFoWHOnMaHDx9m9OjRODo68v333xMZGcmaNWtwcXFhx44d2Nraprl+QkICt2/fpkqVKrRv3x5zc3NevXrFzp076d69O8uXL1e7SL106RIDBgwgd+7cuLq6YmVlxdmzZ5k+fTqPHz9m6tSp2XKchQsX5ubNmzkW/Ll58yb6+p9+J0d/f3927NjBhAkTcuwzm91evHiBi4sLBgYGDBo0CAsLC7Zt28agQYNYvnw5derUSXP9+Ph4fvjhB8qWLUvr1q0pUqQIQUFBbN68mR49ejBz5kw6dOigts6cOXOwtLSkXLlyREREpLn9rl27MnfuXDw8PJgwYcJ7H29mvW/7GhISwoIFC7C2tqZ8+fK8fv06zfKbNm3ixo0bODo6UrRoUZ4+fZpVh/JRuXjxIgsXLqRTp07ZGpxZuXJltm0bpK2QtuI/79tWANy9e5f+/ftjbm5Oly5dKFiwIGFhYdy+fZs3b96olc1IW+Ht7U2PHj3IkycPPXr0wNbWFh8fH7Zs2YKXlxdbtmxRPWRq1qwZxYoV09jG/fv3WblyJY0bN9Z4beHChSxYsIB69eoxatQocuXKhZ+fH/fv39fpuIUQnyjFJywiIiJTr2WFHTt2KOzt7RXnz5/P1v3oKjuPNzExUREdHa1QKBSKZ8+eKRwcHBQeHh7Ztr+cduLECYW9vb1i+vTpasunT5+usLe3V1y5ciXdbVy+fFkRGxursfy7775T2NvbK44dO6a23N/fXxEXF6dQKBSKFStWpPvZOnfunMLe3l7h6empyyFlufj4eEW9evUUjRo1UkRGRqqW3717V+Ho6Kj46aefMr3tgIAARbly5RSDBg1SW96+fXuFk5OT4sWLF2rLf/75Z4W9vb3i0qVLmd6n0vnz5xX29vaKHTt2pFnOx8dHYW9vr5g/f/577zMz27S3t1dMmDAhy/adlVI7jrlz5yrKlSunCA4OzqGaZb/Ro0crHB0dFXfv3lUti4yMVDRq1EjRvHlzRXJycprrJyQkKC5cuKCxPCgoSFGjRg1F7dq1FUlJSWqvvX0+tGnTRtG4ceM09/HDDz8oatasqWpvPrSsaF/j4uIUr169Uv1euXJlRZ8+fVIt//LlS0VCQoJCoVAofvvtN4W9vb3Cx8cnk0fw8Zo/f362Hdvb1wHZ4e1rGGkrpK1QKLKmrYiNjVU0a9ZM0aFDB52ukzPSViivPe7du6e2/MyZMwp7e3vFtGnT0t2fchvHjx/Xuo2FCxemuw0hxOclWx7HxsfHs3z5cjp06EClSpWoWrUqnTt3Zv369aoyEydOxMHBQev67+ZTeDuHwcGDB+ncuTNOTk5MmzZNrfy5c+dwcXHB2dmZ4cOHq9a/desWI0aMoGbNmlSoUIEWLVqwePFiEhMT1farHEcdEBDAuHHjqF69OpUqVWLgwIFq0fMFCxYwadIkANzc3HBwcNCo84sXL3j8+LFO79eCBQtwcHDg4cOHTJs2jbp16+Lk5ES3bt04d+5cqu+PtuNNLefMmzdv+O2332jYsCEVKlSgYcOG/Pbbb4SEhKiVU65/9uxZFi1aRNOmTXFycuLQoUMA/P333ygUCho0aKBRryZNmuDq6oq3tzf9+vXD2dmZ2rVrM2PGDBITE4mLi2PmzJnUr1+fihUr0rt3b433SPleKIcCadt+dtu3bx8Affv2VVuu/H3v3r3pbqNq1aqYmJhoLG/dujWQ0hX2bba2thgbG+tcx+rVq2NmZoanp6fO62SlS5cuERgYSNeuXTE3N1ctL1u2LDVq1ODgwYOZzomTP39+jI2NCQ8PVy0LCwvD29ubatWqaQyZ6tSpE4BanpislJH8MqdOncLZ2ZlevXoRFhYGpLSHS5YsoU2bNlSsWJFq1aoxbNgw7t69q9P+08ovc+3aNfr06UPlypWpWbMmkydPJioqSqOct7e3qg2sWLEirVu3Zvny5SQlJb1X2cuXL9OzZ0+cnJyoU6cOU6ZMITo6WmtdPT09qVChAvnz51db/naenw0bNtCiRQsqVqxIu3btOH78OJDydHHgwIFUqVKFmjVrMm3aNI3PV2rtg7Y8QtkhOjqaY8eOUaNGDcqWLatabm5uTteuXXn27Bm3bt1KcxuGhobUqFFDY7m1tTU1atTg9evXGr1EdBlC+LYGDRoQEhLC+fPnM7ReVsmK9tXY2Bg7Ozud91moUKEP0gPj7e/PBQsW0LhxYypUqEC7du04cOCA1nWOHDlCz549qVy5Ms7OzvTs2ZMjR45olLt69SqDBg2ibt26VKxYkfr16zN48GCuX78OpFxTKYdNfP3116rrkrfbrYiICGbNmkWzZs2oUKECtWrVYty4cfj4+KR6HNquA1LLOXPp0iX69+9P1apVcXJyolOnTmzbtk2jnHJ9Hx8fRo8eTY0aNahatarqdWkrpK2ArGkrDh06xPPnzxk9ejQWFhbEx8cTHx+favmMtBWRkZEAGsO+lL+bmZmluX50dDQHDhzAzs6O+vXrq722ZMkS8ufPz9ChQ4GUoZzJyck61UsI8WnL8quV+Ph4Bg4cyMWLF6lXrx7t27fHxMSEBw8ecPjwYfr06ZPpbR85coR169bh4uJCz549sbCwUL12+/Zt/v77b7p37666WYOU8ZojR46kePHiDBgwgLx583L9+nXmz5/PvXv3mD9/vto+oqOj6dOnD5UqVWLs2LH4+vqydu1avvnmG/bv34+BgQHNmjUjKCiILVu2MGzYMEqVKgWg1mWxX79+vHz5MkPdDydMmIC+vj6DBw8mMjKSLVu2pNrFNbXj1SYiIgIXFxeeP39Oly5dKFeuHPfu3WPTpk2cP3+ebdu2qb2XADNnziQxMZHu3btjbm5OyZIlgZRu03ny5FH9/i5/f3/69+9P69atadGiBWfOnMHDwwMDAwMePXpEbGwsQ4YMISQkhFWrVvHNN99w6NChTA/biIiI0DkIkCtXLnLlypVuuVu3bmFra0vBggXVlhcsWJACBQqke9GUFn9/fwCNi86MMjAwoEKFCly6dEmn8lFRUcTFxelU1sTERC3goo3yPXB2dtZ4rXLlypw/f55nz55RpkyZdPeXlJREWFgYSUlJvHr1ilWrVhEdHa0WAFReTGn7+ymX3bhxI919Zaddu3bx008/0bhxY2bPno2JiQkJCQkMHDiQa9eu0aFDB3r37k1kZCRbt27FxcWF9evXU7FixUzt7969ewwbNozOnTvTtm1bLl68yPbt29HX11cb4nXr1i1cXV0xNDSkd+/eWFtbc/z4cdzd3fH29mb27NmZKnvjxg1VV/HBgweTO3duDh48qLULfHBwME+fPk0zuLphwwbCw8Pp1q0bxsbGrFu3jpEjRzJv3jx++ukn2rZtS9OmTTlz5gzr1q0jX758fPPNN5l675KTkwkNDdW5vKWlZbpt1P3794mPj6dy5coarymX3bp1CycnpwzU9D/+/v4YGRm993AVZV0uXryoNcj+rne7/acld+7c6Q6pzc729WPh7u5OdHQ0Li4uQEqwY9y4ccTFxanlUNmwYQNTpkyhVKlSqs/yrl27GDFiBFOmTKFHjx5ASm6SAQMGYG1tjZubG/nz5+f169dcuXIFb29vKleuTI8ePYiMjMTLy4tJkyZhZWUFoHoIFhERQc+ePfHz86NLly6UKVOGoKAgNm7cSLdu3dixYweFCxdWO47UrgO0OXbsGCNHjsTa2pr+/ftjYWHBgQMH+Omnn/D19WXs2LFq5aOioujTpw9VqlRhzJgxqs+ZtBUpy6StyJq24uTJkwDkyZOH3r17c+XKFRQKBWXLluW7777TCIpkRL169Thw4ADff/89o0ePxs7ODh8fH9zd3bGxsUl30gxPT08iIyM1cuZFR0dz+fJlGjRowPbt21m0aBGBgYGYmprSpEkTJk+ejLW1dabrLYT4uGV5cGbNmjVcvHiRoUOHMm7cOLXX3jfq++jRI/bu3Uvp0qU1Xnv48CEeHh5qQYy4uDgmT55MpUqVWLNmjSoa3rNnTxwdHZk+fToXLlxQS7oaEhLCwIEDGTx4sGpZvnz5mDVrFmfPnqV+/fo4OjpSuXJltmzZQp06dbQmbc0MAwMDNmzYoOpB0bVrV1q1asXUqVNVT6zSOt7UrFixgmfPnvHLL7/Qu3dv1fKyZcsyZcoUVqxYwZgxY9TWiY2NZffu3Ro3w48fP6ZIkSJq+VLe9uLFC/78809atWoFgIuLC507d1aNqV29erVqXUtLS/73v/9x5syZTH9BfvPNN1y8eFGnsiNHjmTUqFHplgsMDFRLEPc2W1tbVYAlo6Kioli5ciW5c+fm66+/ztQ23lasWDEuXrxISEiI6kI8NVOnTmXXrl06bbdTp07pjuUODAwE0JpXRvnUKCAgQKfgzOPHj2nXrp3q99y5czN06FDVEyNIeRpoZWXF9evXiY2NxdTUVPWa8qneq1ev0t1Xdlm6dClz5szBxcWFX375RXVxvmHDBi5evMiKFSvUPuO9evWibdu2/PHHH6kmMU3P/fv32bJliyrxY8+ePYmMjGTnzp1MnDhRFWD73//+R3x8PJs3b1YlKOzTpw9jxoxh//79dO3aVZXbJyNlp0+fjkKhYNOmTaqbtl69etGrVy+Nuj569AhA65h7pcDAQA4ePEju3LkBqFWrFh06dGDkyJHMnz+f5s2bA/+1KRs3bsz0DZefn1+GzkFdksemdU4olwUEBGSglv85efIkN2/epEOHDlp75GVE4cKFMTQ0VP1N0qNLclKl1JKYvy272tePSUhICHv37lV9ll1cXGjfvj0zZsygdevWmJqaEhYWhru7O8WKFVN7QNKrVy86duzIjBkzaNWqFXny5OH06dPExMQwZ86cVG/YnZ2dcXBwwMvLi6ZNm2p8XufNm4ePjw9bt25VS1TaqVMn2rVrx4IFCzTa/dSuA96VlJTE1KlTMTMzY9u2barPe69evXBzc2PZsmV06tSJEiVKqNYJDQ1l2LBhGkEbaSukrVDKirZC2et91KhRVKpUiTlz5hAWFsaSJUsYMmQIK1eu1Ok6WptOnTrh6+uLh4cH3bt3Vy13cnLSKe/e9u3b0dPTo0uXLmrLX7x4QVJSEjdu3ODMmTOq5MKXL19m7dq13L9/nx07duj0sFEI8enJ8uDMvn37yJs3LyNGjNB47X2TWjZs2FBrYAbA0dFRo4E9c+YMwcHBjBs3Tm2IBKR015w+fTpnzpxR+4LQ19fXmAFHmfj2+fPnOgcRtGXAT0+/fv3UhrbY2dnRrl07tmzZwuPHj9WOXdvxpsbLy4t8+fKpnsIp9ejRg4ULF3LkyBGN4IyLi4vWhv/NmzcUL1481X3Z2tqqAjNKVapU4c6dO7i6uqoFdapVqwZk7H1914QJEzT+tqnRtUtvbGxsqkOMTExMiI2N1bl+SklJSXz//ff4+voye/ZsLC0tM7yNdym38ebNm3SDM4MGDaJ9+/Y6bVeXmRliYmIAtL5PygtCXd+nIkWK4OHhQUJCAs+fP2fv3r1EREQQHx+vCqjq6enRr18/5s6dy8iRIxk9ejRWVlacO3eOBQsWYGhomKm/y/tKTk5mypQpbNiwgW+//VbjBmDv3r2UKlWK8uXLazxVrFOnDrt379YINumqcuXKGjNy1KpVi5MnT/Ly5Uvs7e15/fo1165do1mzZmo3ZHp6egwfPhxPT0+8vLyoXbt2psq2aNFC7Wm6sbEx/fr147vvvlOrl/LY8+bNm+rxdO7cWXWzBSltnIWFBebm5qqbLaUqVaqwbt06oqKi0u3lpY2NjQ0eHh4ZKp8eXc4JZZmMePbsGT/88AO2trZZNn163rx5002iq5SR9+ntz01qsqN9/di4uLiofZZz585Nz549mTNnDhcuXKBhw4acOXOG6OhoXF1d1XquWlhY4Orqyu+//87Zs2dp2bKlaltHjx7FwcEhwzfdCoWCffv2Ub16dQoUKKDWFuXKlYvKlStz+vRprcehyw3gnTt38PPzo1+/fmo3pMbGxgwaNIgRI0Zw9OhRBg4cqLbeu7+DtBXSVvwnK9oK5TDfUqVKsXjxYtU1aO3atWnTpg1z587NdHBGT08Pa2trqlSpQpMmTbC1tcXb21vVK3z16tVqn9O3PXnyhCtXrlC7dm2Na1PlcKk3b94wbdo0unXrBqQkFbawsGDhwoXs2rVL64MQIcSnL8uDM8+fP6ds2bLvHbHX5u2nLrq8psxn8uOPP6a6XnBwsNrvBQoU0Ki78iY4I11bM0Nb4Em5zMfHR+31tN6Ld/n6+lKhQgWNcbSGhoaUKFFCa+6L1Lov6+npoVAoUt2XtidGyousd19Tdrl9n/e1QoUKmVovNDRUYziU8qLK1NQ01THJcXFxGb6RTk5O5scff+To0aOMHTuWtm3bZqrO70rr7/Cur776KtUnUJmhvGDX9j4ph0/p+j6ZmZmpXRx16dKFzp07M2rUKLVZQYYMGUJMTAweHh6qixUzMzMmTZrE3LlzteZEyW5r1qwhKiqKsWPHMmzYMI3XHz9+TGxsbJpPFENCQjS6betCW7Dx3bZKmbtJ29++VKlS6Ovrq/JNZKSs8n/lkM63aVtfeUGcmbZDW24RZZsSGhqaqRsuExOTTF2QJyUlaQTZTE1NyZ07t07nREafdPr4+NCvXz8Ali9fTr58+TJcZ20UCkWqvR/fldkbl9Rkdfv6MdJ2Xii/v5XnmfJ/bb0LlcuU51mbNm3Yu3cvS5YsYfXq1VSqVIl69erRpk0bjaFI2rx584bQ0FBOnz6daluk7eFZWsOY3pZW2/HusSjly5dP67AbaSukrVDKirZCWaZjx45qx1GiRAmcnZ25fPky0dHR6eaH0Wbu3Lls2LCBQ4cOqa4flfmZBg8ezIoVKzR6hilt374dQHUto63O+vr6GjNudezYkYULF3Lx4kUJzgjxmcqxOQpTa+zfTdL7trS+rLS9pvxyV043qM27vQTSmi43IzfD2S27uzOm9qWXL18+VaJTbdJ6/1LrOfX2+5rWRYC2z4a2IEtqzMzMVBdno0aN0hgOpcwPVKBAgVS7FAcEBKTbVfVtycnJTJ48md27dzNy5EitN/CZpfw76HIRFhERofMTaeUFZFreHrr0blAxrS7bujA3N6dZs2YsX76cFy9eqLq36+vrM3bsWIYOHcqDBw9QKBQ4OjqSnJzML7/8onX8fnarW7culy5dYuvWrbRp00YjYKJQKLC3t1clENcmsxfRn0pbBf8dY2bajvc9Tm1BO203TmnJly8fBgYGvHr1SmOIg3IY4NvnxLuUyzJyTvj6+tK3b1+io6NZvXp1qgn0MyM8PFznz11QUJDO282bN2+6ic2zsn39UhgbG+Ph4cHNmzc5deoUly9fZv78+SxcuJDZs2fTrFmzNNdXnid16tRRG7KdnuwMlKV2DSNthbQVSlnRVtja2vLgwQOtOVpsbGxQKBRERERkODiTkJDAqlWrqFu3rkZvqQYNGmBubp5qTsDExET27NmDpaWl1nNXGWTMkyePxnuk/Ozo2mNcCPHpyfLgTIkSJXjy5Anx8fFpNrxvP814e4jHu09X3rcukHIRkNURfV2fJGTE48ePNbp6Knv/ZDTL/tuKFi3K06dPSUxMVOs9k5iYyLNnzzK07TJlynDp0iWSk5Pfe5iaNsrPRVhYmNrTsbi4OIKCgjSGVGkLsqTm7ZwzaQ2HqlixIvv27ePVq1dqPRpevXpFYGCg1lkqtFEGZnbu3Mnw4cN1yneTES9evMDGxibdIU2QkkskK3POKJPYXrt2TePcun79OhYWFhnq3fUuZSApNDRUI/eAmZmZWiDG09Mz1RnEspu9vT2jR4+mb9++9OnThzVr1qgdd/HixQkJCaFWrVrZcr6kR3kOacsZ8OTJE5KTk1Xnf2bKPnnyRKOstvWVT8+fP3+emcPQiaWlpdZeeNq+U7TdOKVFmUdC2xAH5cWyvb09xsbGqtlz3qZcpmtPP19fX9zc3IiIiMDDw4Ny5crpXFddtp2YmKhTPihISXqpK13ySGRV+/ox03ZeKL/LleeO8lx6+PChRm8W5Tn07nezk5OTKufMq1ev6NixI3/++afqBi+16xJlL5XIyMgsvxaCtNuO1I4lNdJWpCyTtiJr2gonJydOnTqlNT+Nv78/hoaGmRpmHhISQnx8vNaAnkKhIDk5OdXevMePHyc4OBg3Nzet90nW1tYUKlSIV69eERMToxbIVB5HVvWMEkJ8fLI8ONOuXTtmzZrFX3/9pZHH5O3ukcobmLNnz6qmF4aMjVlNT7169cifPz/Lly+ndevWGg1wbGwsiYmJGjMV6UIZZU/t6c6LFy9ISEhINUeONqtXr6ZZs2aqxtrf3599+/ZRsmTJDG3nXU2bNmXJkiVs27ZNNXsEwNatW3nz5o1GLpq01KhRgxMnTvDo0SPs7e0zXafUvP25KF++vGr56tWrtSaUzmzOmbQufNq2bcu+fftYs2aN2rjtNWvWAKglr4WUi24jIyO1IIJCoeCnn35i586dDBs2TONceF9JSUncvn2bRo0a6VQ+q3POVK9eHRsbG7Zv306/fv1UPZK8vb25ePEinTt3VpuJITAwkIiICAoVKqS60Hjz5o3WmS2CgoLw9PTEzMws3YvCkJAQ5s6di5WVVbozI2SXMmXKsG7dOrUAjfJ87dixI3/88QceHh5a8ysEBwdn66wL+fPnx9nZmePHj/PgwQPVOatQKFi2bBmA6sYuI2Wtra2pXLkyx44d4+nTp6rhD/Hx8axevVqjHvny5aNMmTJab0aySokSJTh8+LDaE9X4+Hg2bNigUTazeSTSGuJgbm5O48aN8fLywtvbWxVoj4qKYvv27ZQoUUItmWtERASBgYFYWVmpXWi/fPkSNzc3wsPDWbVqVaaHbqZGOatZ9erVdSqf1XkksqJ9/dht2rRJLe9MREQEmzdvJk+ePKrpj+vWrYuZmRnr16+nc+fOquuQyMhI1q9fj5mZGXXr1gVS2sp3b8bs7Ow0erK+fV3y9sMNfX192rVrx4YNG/D09KRly5YadX79+nWmZxEsX748hQoVYufOnQwaNEh1viQkJLBy5Ur09PR0DnBIWyFthVJWtBVt27ZVXf9269ZN9YDS29ub69evU7t27UylYbC2tsbS0pLLly/j4+Ojdn156NAhYmJiUp2JUTmkqWvXrqluv3379ixZsoQtW7aohqtBStsCKTk4hRCfpywPzri5uXH8+HEWL17MrVu3qFevHsbGxjx69IinT5+qLtzbtm3L3Llz+eWXX3jy5AmWlpacOnWKkJCQLKuLmZkZM2fOZMSIEbRs2ZIuXbpQvHhxwsPDefLkCV5eXixcuDBTsy1VrFgRfX19lixZQlhYGGZmZhQpUkSVoDMzU2knJSXRu3dv2rRpQ1RUFJs3byYuLo6ffvopw/V726BBg/D09GTKlCncvXuXsmXLcu/ePbZv307JkiUZNGiQzttq3rw57u7unDx5MluCM3Xq1KFkyZLMnz+f0NBQihQpwpUrV7hx44bWHiJZfTEC0KhRIxo3boyHhwcRERFUrlyZ69evs337dtq3b69KZKzUunVrChcurJYE+o8//mDHjh04OjpSqlQp9uzZo7ZOsWLF1Kah9vb2Vq1/9epVAPbs2cOVK1cAcHV1VRtqdPHiRaKjo7VeZGuT1TlnjIyMmDx5MmPHjqV3795069aNqKgoVq9eTb58+Rg9erRa+Tlz5rBr1y61p2V79+5l7dq1qplFjIyMePbsGbt37yYsLIxp06apPTE6efIkK1asoG7dulhbW+Pn58e2bdsIDw9n8eLFOfokqXTp0qxfv56+ffvi5ubG6tWrKVOmDG5ubpw9e5Y//viD8+fPU6tWLSwsLPDz8+P8+fOqaWCz0+TJk3F1daV379706tULGxsbjh8/zunTp2nbtq3aU/uMlJ04cSKurq64uLjQu3dv1VTaqT0tbNmyJX/99ReBgYE6BQAzqnfv3hw4cIB+/frRs2dPEhIS2LNnj9bhE5nNI5Ge7777jvPnzzNgwABV0HLbtm0EBASwdOlStZ4NyimP3+7RFxkZiZubGy9fvsTV1ZWnT5+qZhtRUn7+lXbv3o2fnx+QchOfkJDAX3/9BUChQoXo2LGj2vonT57EyspKleg+PVn9PmVF+wqwfv16VWA+ISGBly9fqo7b0dFR7an6pUuXVEMMbt++DaTMpKZsUzM7k09qrKys6Natm2ra7J07d+Ln56fWpuXJk4fx48czZcoUunfvTqdOnYCUqbSfP3/OlClTVPVbvHgxZ86coVGjRhQpUgSFQsHx48d58uSJ2ve38vrD3d2ddu3aYWJiQpkyZbC3t2fs2LFcvXqVMWPG0KpVKypVqoSRkRF+fn78888/lC9fPt0ek6kxMDDg559/ZuTIkXTt2lU19fahQ4e4fv06w4YNy1BPSmkrpK2ArGkrSpUqxaBBg1i6dCl9+vShTZs2hIWFsW7dOkxNTfnhhx/UtqFrW6Gvr8+oUaOYOnUq3bt3p2fPntjZ2amura2srBgwYIDGMQUEBHDq1CmcnJzSHH42ePBgDh8+zMyZM3n69CmOjo5cuXKFffv2UatWLbWH2kKIz0uWB2eMjY1ZtWoVq1atYv/+/cyZMwcTExOKFy+uulCBlBkJli1bxvTp01m6dClmZmY0b96cWbNm6Ryl10X9+vXZvn07y5YtY+/evYSEhJAnTx6KFStGv379Mj02t1ChQvz+++8sX76c3377jYSEBDp16qQxe0pGzJw5k82bN7N8+XLCw8NxcHBgxowZqqdnmZU7d242bdrE/PnzOXbsGDt37iR//vz07NmTUaNGZajnUNGiRalXrx579+7N0Nh1XRkYGLB48WKmTZvG+vXrMTIyom7duqxfv16t1092mzdvHn/99Rf79u1jz5492NraMnr0aIYMGaLT+sovdW9vb40vf0gZOvR2cObu3bvMmzdPrcyOHTtUP7dv314tOLN3715sbGyyZEruzGrVqhWmpqYsXryYP/74A2NjY2rXrs348eN1GgterVo1bt++zYkTJwgKCiIhIYH8+fNTu3Zt3NzcqFKlilr5woULY2Jiwvr161XDIWvXrs3w4cO1JuD80EqUKKEWoPHw8MDR0ZGlS5eyceNG9uzZw4IFC4CU3kkVK1ZU3ZBlp4oVK7J582bmz5/Ppk2biI6OpmjRoowfP17j4jEjZZ2dnfHw8GD27NksW7aM3Llz06JFC1xcXDSeaEJK4sPFixezf/9+rRet76tq1arMmDGDJUuWMGvWLAoUKICLiwsVKlRQe/KYnYoXL86mTZtwd3dn2bJlJCQkUK5cOVasWKHTjUtoaKgquWpqQbu1a9eq3XDt2LFDY2insi2pUaOG2g1XdHQ0Xl5e9OzZM918D9npfdtXgFWrVvHy5UvV7y9fvlQdd6dOndSCM+fPn2fhwoUa6ytldXBm/PjxXL58mY0bNxIcHEzJkiVVAZO39e7dmwIFCrBy5UoWLVoEpASWFi1aRNOmTVXlmjZtqupRGBwcjKmpKcWLF2fatGlqT9+rVq3K+PHj2bx5Mz///DOJiYmMHDkSe3t71XXAqlWr8PT05OjRoxgYGGBnZ0fVqlW1JibNiCZNmrB69WoWL17MypUrVT2H355tRlfSVkhboZQVbcW4ceMoXLgwGzZs4I8//sDU1JSaNWvy7bffavTOzUhb0adPH2xsbFi/fj1r164lNjYWKysrWrduzahRoyhUqJBGXXbt2kVSUlK654SFhQUbNmxg3rx5HD16VDU197Bhw/jmm2/SzK8khPi06Sk+tsyRX6AFCxawcOFC1Vjlj921a9fo2bMnHh4e2fJESaQtKCiIpk2b8t1332lM+y7Ex+yXX37hzJkzeHp6qg17Ex/GmjVr+PPPP/n777+zpUfCl27nzp1MmjRJp3waIm3SVuQsaSuEECJn6Jyh8vLly9lZD/EJcXZ2pnXr1syfPz+nq/JFWrZsGXZ2dh+0J5EQWeHbb78lNDSUnTt35nRVvjixsbEsX76cgQMHys2W+OhJW5FzpK0QQoico3PPGWXujK5du9KxY0fJFJ6FPrWeM0IIIYRQJz1nhBBCCPE+dO45M378eCAl0WmDBg0YPXo0//zzDzIqSgghhBBCCCGEECLzMpxz5sqVK2zfvh1PT09iY2OxtbWlc+fOdO7cWXp9CCGEEEIIIYQQQmRQphMCR0VFcfDgQbZv386NGzfQ19enVq1adO3alWbNmkkCNyGEEEIIIYQQQggdvPdsTYGBgbi7u7N3717Vsnz58jFgwAD69+8v070JIYQQQgghhBBCpEHnnDNvS05O5ujRowwfPpwmTZqwd+9eqlatysyZM5k7dy6lSpVi9uzZ/O9//8vq+n6yJk6ciIODQ05XQ+VD1CcuLo4mTZowd+7cbN3Pl+zIkSNUqFCBZ8+e5XRVPjsXLlzAwcFBbbYQX19fHBwcWLBgQZrL3ldq23RwcGDixInpLvtYpPXevH79mqpVq7J169YcqNmXYc2aNdSsWZOwsLCcror4TLm6utKkSZNs3Ye0FdlP2gohhPg4GGak8LNnz9i+fTu7d+/m9evX5M2blz59+tCtWzdKly6tKteqVSt+/fVXDhw4wC+//JLllRafBg8PD8LDwxkwYEBOV+W97d69m9WrV/PkyRMsLCxo3Lgx3333nU6zlr1+/Rp3d3du375NQEAAMTEx2NnZUb16dYYOHUrx4sU11nn48CFLlizh2rVrBAUFYW1tjbOzM0OGDMHR0VFVrmnTptjb2+Pu7s7ChQuz9Jgz6smTJ7i7u3Pp0iUSEhIoV64co0aNonbt2jqtv2rVKo4fP87Tp08JDQ3F0tKSkiVL4ubmRrNmzdTKKmc4S42hoSF37tx5r+MR2evPP/8kX758dO7cOaer8l6Sk5NZu3Ytmzdv5uXLl+TLl49WrVoxevRozMzM0l3/yZMnLFq0iLt37xIYGEhiYiIFCxakYcOGqU5le+3aNZYuXcrdu3cJDQ2lQIEC1KpVi6FDh1K0aFFVuZ49e7J8+XL++usvJk2alKXHnVE3btxg7ty53LhxAz09PZydnRk/fjxly5bVaf0zZ87w999/c+fOHR48eEB8fHy6syI9evSIxYsXc+HCBUJDQ8mXLx8VK1bkt99+w9raOqsO7aN04cIFLl68SN++fcmTJ09OV+e9SFuRQtoK3doKgJMnT7Jq1SoePXpEVFQUtra2NGnShIEDB2o99zPSVsTExLBy5UoOHTqEj48PpqamlCxZkkGDBqmuVRQKBXv37uXEiRPcvn2bwMBArKyscHR0ZPjw4VSqVEmjDsHBwcyfP5+TJ0/y+vVrrK2tadq0KaNHj/7kz2GReffu3ePIkSN06tRJcrt+IXQOzvTq1Ytr166hUCioXr06EydOpHnz5hgbG2stX61aNTZv3pxlFRVZa+rUqfz222/Ztv3Y2FhWrlxJ586dyZs3b7bt50NYvXo106dPp0aNGkyePBl/f39Wr17N9evX2bZtW7oXVWFhYTx9+pR69epRqFAhTE1NefbsGTt27MDT05OtW7fy1Vdfqcp7e3vTo0cP8uTJQ48ePbC1tcXHx4ctW7bg5eXFli1bKFeunKq8m5sbEyZM4OHDh5QpUybb3oe0vHjxAhcXFwwMDBg0aBAWFhZs27aNQYMGsXz5curUqZPuNm7evEnhwoVp0KABVlZWhIWF4enpyciRIxk9ejQjRoxQlW3WrBnFihXT2Mb9+/dZuXIljRs3ztLjUypcuDA3b97MseGaN2/eRF8/Ux0ePyr+/v7s2LGDCRMmYGiYoWcEH53ff/+ddevW0axZMwYMGMDjx49Zt24dd+/eZfXq1en+vQICAggKCqJZs2bY2tpiaGjIgwcP2Lp1KwcOHGDPnj3kz59fVf6ff/5h6NChFCtWjD59+mBlZcXDhw/ZunUrhw8fZt++fdja2gJgYmJCz549Wbp0KcOGDcPKyipb34vUXL9+HVdXV2xtbfn2228BWL9+Pb169WLz5s069eLct28f+/fvp0yZMpQuXZp79+6lWf7UqVOMGDGCYsWK4erqSv78+Xnz5g3Xrl0jMjLysw/OXLx4kYULF9KpU6dsvbFbuXJltm0bpK14m7QVurUVW7du5eeff6Z8+fIMHjyYXLlycevWLdasWaM67rev2zLSVoSFhdGvXz+ePXtGly5d6NevHzExMTx+/JiXL1+qysXHx/PDDz9QtmxZWrduTZEiRQgKCmLz5s306NGDmTNn0qFDB1X5169f0717dwIDA+nRowdlypTh4cOHbN68mcuXL7Np0yZy5cqVFW+x+MTcu3ePhQsXUqNGDQnOfCkUOqpZs6ZixowZiqdPn+pU/vXr14oLFy7ounlFRESEzmU/RRMmTFDY29vnaB2Sk5MVkZGR2bb9mJgYRUJCgkKhUCi2bt2qsLe3V9y5cyfb9vchvH79WlGpUiVFly5dFImJiarlR48eVdjb2ysWL16c6W3fuHFDYW9vr/i///s/teU///yzwt7eXnHv3j215WfOnFHY29srpk2bprY8MjJSUalSJcWUKVMyXZf3NXr0aIWjo6Pi7t27avVq1KiRonnz5ork5ORMbTchIUHRrl07ReXKldXe/9Qo37vjx49nan9vO3/+vMLe3l6xY8eONMv5+Pgo7O3tFfPnz3/vfWZmm/b29ooJEyZk2b6zUmrHMXfuXEW5cuUUwcHBOVSzrPHgwQOFg4ODYuTIkWrL165dq7C3t1fs3bs309s+ePCgwt7eXrFs2TK15QMGDFCUL19e8fr1a7XlyjbXw8NDbfmLFy8U9vb2ipUrV2a6Lu+rS5cuCmdnZ4W/v79qmb+/v8LZ2VnRv39/nbbh7++viIuLUygUCsWKFSsU9vb2ivPnz2stGxwcrKhRo4Zi4MCBivj4+Pc/gE/Q/PnzFfb29gofH58s33ZiYqIiOjo6y7er9Pb1oLQV6ZO2Ql3z5s0VdevWVcTGxqotnzNnjsLe3l7h5eWlWpbRtmL8+PEKZ2dnxcOHD9Msl5CQoPUeKCgoSFGjRg1F7dq1FUlJSarl06ZNU9jb2yv27dunVn7fvn0Ke3t7xaJFi9Ktm/g87dixI83vu7dld9ssPgydH8GePn2aCRMmUKJECY3Xdu7ciYODA2fPnmXBggU0btyYBg0aMHXqVA4cOKBRvkmTJri6unL37l0GDhxI1apVad++ver1S5cu0b9/f6pWrYqTkxOdOnVi27ZtGttRjnX28fFh+PDhVK1alSpVqjBixAh8fHw0ykdHRzN79myaNm1KhQoVqFu3Lj/88INatBtSup6uXr2adu3a4ezsTJUqVWjRogU//vgjCQkJau/JmDFj+Prrr3FycqJatWoMGDCAixcv6vSeJiQk8PjxY/z8/HQqn5HjfTtfxoYNG2jdujUVK1Zk1apVQOo5Z7y9vRkxYgQ1a9akYsWKtG7dmuXLl5OUlKRWTrn+mzdvmDRpEnXq1KFy5cr4+/sD4OnpiY2NjVoPD1DPQXHw4EE6dOiAk5MTzZo1Y8eOHQD4+fkxevRoatSooerOGhkZqfW9eFdW5/84evQoMTEx9OnTR623RJMmTShatKhaIuyMKly4MADh4eFqy5XH+m4XZeXv7/bUMTc3p2rVqvz999+Zrsv7iI6O5tixY9SoUUOt27G5uTldu3bl2bNn3Lp1K1PbNjQ0xNbWlpiYGBITE9Otx4EDB7Czs6N+/fqZ2l96MvL5OnXqFM7OzvTq1Us1jj8+Pp4lS5bQpk0bKlasSLVq1Rg2bBh3797Vaf9p5Ze5du0affr0oXLlytSsWZPJkycTFRWlUU7XczyjZS9fvkzPnj1xcnKiTp06TJkyhejoaK119fT0pEKFCmpPeUGz3WrRogUVK1akXbt2HD9+HEjpHTVw4ECqVKlCzZo1mTZtmlq7DP99x7xLWx6h97F//34UCgV9+/ZVW969e3dy5cqVbe2DsbGxRo/E1NqHokWLUrJkSTw9PTNdl/fx/Plzbt26RcuWLVVP6QFsbW1p2bIlZ8+eJSgoKN3t2NraptpT912bNm0iNDSU77//HiMjI2JiYjQ+I9lN23VRhQoVaNeundbrIkjJIdazZ08qV66Ms7MzPXv25MiRIxrlrl69yqBBg6hbty4VK1akfv36DB48mOvXrwMp38/KYZ9ff/01Dg4OGu1WREQEs2bNolmzZlSoUIFatWoxbtw4jWuJt49j0aJFNG3aFCcnJw4dOgSk/l2cmes45fd+1apVVa9LW5E+aSvURUVFkTdvXkxMTNSWK4/77R4oGWkrfH192b9/P927d+err74iKSlJ63cspFy71KhRQ2O5tbU1NWrU4PXr17x+/Vq1/MKFC5iamtKmTRu18q1bt8bExCTLPofi07JgwQLVMEM3NzdVWz5x4sR02+aM3qM+f/6cSZMm0aBBAypUqEC9evUYPnw4t2/fVit369Yt1XVhhQoVaNGiBYsXL073Gl3oTuc+ohUrVmTWrFm0bds21TL9+/enZMmSuLi4AClf6uPGjSMuLk5jrLCfnx99+/alZcuWNG/eXHURf+zYMUaOHIm1tTX9+/fHwsKCAwcO8NNPP+Hr68vYsWPVthMdHY2rqytOTk6MGzeO58+fs3HjRm7cuMGuXbuwsbEBUgIhAwcO5OrVq7Ro0YL+/fvz/PlzNm3axJkzZ9ixYwd2dnYALF68mPnz59O4cWN69uyJgYEBvr6+HDt2jPj4eNU04bt27SIsLIyOHTtiZ2dHQEAA27Zto1+/fqxdu5Zq1aql+Z4GBATQunVratSowbp163T6O+h6vEpr1qwhNDSUbt26YWNjozpGbW7duoWrqyuGhob07t0ba2trjh8/jru7O97e3syePVtjnf79+2Ntbc0333xDdHQ0ZmZmJCUlcfXqVWrVqpXqvo4fP87mzZtxcXHB0tKS7du38+OPP2JkZMTcuXOpVasWY8eO5datW+zYsQMTE5P3SjD95s0bncvmzp1b9TdWBhWcnZ01ylWqVIkDBw4QFRWFubl5uttNSEggIiKCxMREXrx4obpQbtCggVq5evXqceDAAb7//ntGjx6NnZ0dPj4+uLu7Y2NjQ8+ePTW27ezszOnTp3n8+LFa/idt4uPjNYJdqTEwMEh3WNr9+/eJj4+ncuXKGq8pl926dQsnJyed9hkaGkpycjIhISEcOnSIU6dOUbNmTY0LrXd5enoSGRmJq6trjs8St2vXLn766ScaN27M7NmzMTExUbVB165do0OHDvTu3ZvIyEi2bt2Ki4sL69evp2LFipna37179xg2bBidO3embdu2XLx4ke3bt6Ovr8/UqVNV5TJyjmek7I0bN+jfvz/m5uYMHjyY3Llzc/DgQSZMmKBR1+DgYJ4+far1hkhpw4YNhIeH061bN4yNjVm3bh0jR45k3rx5/PTTT7Rt25amTZty5swZ1q1bR758+fjmm28y9d4lJycTGhqqc3lLS0vV8IPbt2+jr6+v8dk2MTHB0dExQ0HJuLg4oqKiiI+P59GjR7i7uwPQsGFDtXL16tXj+vXrTJgwgUGDBmFlZcWDBw+YMWMGpUuXpnXr1hrbdnZ2Zu/evTq1VTExMcTExOhUZyMjI3Lnzp1mmbTa0MqVK7Njxw7u3LlDo0aNdNqnLv755x8sLCyIiIigQ4cOeHt7o6+vj7OzMxMnTtS5LcoK7u7uREdHp3tdtGHDBqZMmUKpUqVUn+Vdu3YxYsQIpkyZQo8ePYCUvCMDBgzA2toaNzc38ufPz+vXr7ly5Qre3t5UrlyZHj16EBkZiZeXF5MmTVINUVE+kImIiKBnz574+fnRpUsXypQpQ1BQEBs3bqRbt27s2LFDdcOvNHPmTBITE+nevTvm5uaULFky1WPO6HVcVFQUffr0oUqVKowZM0b1fS1thXbSVjRKczv16tVj165dzJgxg27dumFmZsatW7dYvHgxNWrUULs2zUhbcerUKZKTkyldujTff/89hw4dIiEhAVtbWwYMGEC/fv10ei/8/f0xMjJSG24YHx+PiYkJenp6amX19fUxNTXFx8eHN2/e6JTnUHw+mjVrRlBQEFu2bGHYsGGUKlUKgGLFivH06VMg9bY5I/eot27dol+/fiQmJtK1a1fKlClDWFgYFy9e5Nq1a1SoUAGAEydOMHLkSIoXL86AAQPImzcv169fZ/78+dy7d4/58+d/4Hfo86RzcEahUKDQYdbtbdu2qRpgFxcX2rdvz4wZM2jdujWmpqaqcr6+vkybNo1u3bqpliUlJTF16lTMzMzYtm2bKnLeq1cv3NzcWLZsGZ06dVLrvRMSEoKbmxuTJ09WLatevTojR45kwYIFTJkyBUj5kF69epWBAwfyww8/qMrWqVOHoUOHMnv2bGbNmgWkPL0qXbo0S5YsUTu28ePHq/2urOvbevbsSZs2bVi6dGm6wZnM0PV4lV69esWhQ4c0njpp87///Y/4+Hg2b96sSjrbp08fxowZw/79++natatGctcyZcqoLgyUfHx8iI6O1poTROnJkyccOHBAdQHYunVrGjZsyA8//MCECRPo378/kPIZCg8PZ8+ePfz44486BUG00TUpLaCWZDIwMBBA7SmOkq2tLQqFgsDAwDQvVJVOnz7NsGHDVL9bW1szceJEOnbsqFauU6dO+Pr64uHhQffu3VXLnZyc2LFjh9a6KBP7PXr0KN3gzP79+3VO+Fe4cGGOHTuWZpn03iNICUTqqkWLFqoLYENDQ5o3b86vv/6a7nrbt29HT0+PLl266Lyv7LB06VLmzJmDi4sLv/zyi+rifMOGDVy8eJEVK1ao9ezp1asXbdu25Y8//tA5SPuu+/fvs2XLFlWSwZ49exIZGcnOnTuZOHGi6rzJyDmekbLTp09HoVCwadMm1bnQq1cvevXqpVHXR48eAaTZPgQGBnLw4EHVd0mtWrXo0KEDI0eOZP78+TRv3hxIaR86d+7Mxo0bM33D5efnx9dff61z+aNHj6rGfSuTPGrr0WFra8u1a9eIj4/XqcfHtm3b1AJphQsXZtasWRrfI0OHDuX169fs2LGDffv2qZY3bNiQOXPmYGFhobHtokWLkpiYyNOnT1UXWalZsWKFzsnFdXmwoGwftCUrzUz7oIunT5+SlJTEoEGDaNmyJd988w0vX75k8eLFuLm5sW3btg+WnyskJIS9e/emeV0UFhaGu7s7xYoVY9u2baq/Ya9evejYsSMzZsygVatW5MmTh9OnTxMTE8OcOXNSDTI5Ozvj4OCAl5cXTZs21chTMG/ePHx8fNi6datagvlOnTrRrl07FixYwIwZM9TWiY2NZffu3enmvcjMdVxoaCjDhg3TCNpIW6GdtBVpmzx5MjExMaxduxYPDw/V8s6dOzNlyhS1hzcZaSuUN8Nz5szBysqK3377DSMjIzZv3sz06dMJDw9n9OjRadbt5MmT3Lx5kw4dOqg9cCpTpgyHDx/m3r17aj2Q7927p+p5++rVKwnOfGEcHR2pXLkyW7ZsoU6dOmoJ8JWfx9TaZl3vURUKBZMmTSI+Pp5t27apfScMHTqU5ORkICUoPHnyZCpVqsSaNWtUOcB69uyJo6Mj06dP58KFC2km6Re6ydLsasbGxmqR8dy5c9OzZ0/mzJnDhQsX1KL6lpaWGr1p7ty5g5+fH/369VO70TM2NmbQoEGMGDGCo0ePMnDgQLX1hgwZovZ7s2bNKFmyJEePHlUFK7y8vNDX12fo0KFqZRs1akTZsmU5evQoycnJ6OvrY2FhwYsXL7h8+XKaAZa3P/TKpxj6+vpUqlSJGzdupPd2UaRIEe7fv59uuXfpcrxKHTp00Ckw8/r1a65du0azZs3UTkw9PT2GDx+Op6cnXl5eGkGOd/8WkHIxCqTZ4+Lrr79WezKXL18+SpYsyaNHj+jdu7da2WrVquHl5cXLly+xt7dP91i0efsLOj1vH7/yqZC2CyblF2tsbKxO261UqRIeHh7Exsby6NEjDh48SFhYGImJiWqJDvX09LC2tqZKlSo0adIEW1tbvL29WbVqFd988w2rV6/WeAJlaWkJoNZNNjX16tXT+f1Ir7cK6PYe6fp0DWDhwoXExcUREBCAp6en6ilhWhclT5484cqVK9SuXVttBooPKTk5mSlTprBhwwa+/fZbjRuAvXv3UqpUKcqXL6/Rk6tOnTrs3r2b2NhYtSC2ripXrqwx+0OtWrU4efKk6rzJyDmembItWrRQC1IaGxvTr18/vvvuO7V6KY89rfahc+fOap9xR0dHLCwsMDc3V91sKVWpUoV169bp3IPtXTY2NhlqH97unRgTE5PqzdTb7YMuN1xNmzalVKlSREdHc/fuXY4dO6ZqS9+mr6+Pra0tderUoWnTplhaWnL16lXWrVvH2LFj+euvv1Q9/5Qy0j507NhRbVhJWnRJNJtW+6BclpH2QRdRUVEkJSXRrl07tSBD+fLlcXNzY9GiRfz5559Zus/UuLi4pHtddObMGVWv2LdvmC0sLHB1deX333/n7NmztGzZUrWto0eP4uDgoFMb/TaFQsG+ffuoXr06BQoUUGuLcuXKReXKlTl9+rTW49AlIWlmr+O0XUtIW6GdtBVpMzQ0pFChQjRt2pQmTZpgamrK6dOn2bFjBwYGBkybNk1VNiNthXIIU0JCAhs2bFD1SGvVqhVt2rRhxYoV9O3bN9XP67Nnz/jhhx+wtbXVGJ7ct29fjhw5wpgxY/jxxx9VCYF///13jIyMSEhIyPJ2UnweUmubdb1HvXfvHg8fPlQFWd6lfMB45swZgoODGTdunMYQygYNGjB9+nTOnDkjwZkskGZw5siRIxw9elT1+9atWzl79qxGOeWsCdqe2CuX+fr6qi0vWrSoxtADZZm3Z65RUkau3x0PnSdPHo2hPMr9HjlyRDXUxtfXlwIFCmhtNL/66ivu3btHSEgI+fPnZ9y4cYwYMYLevXtToEABatSoQaNGjWjRooXal8aLFy+YO3cup0+f1vigvts1MavoerxK2nIEaZPWe1+qVCn09fW15vFJa/tp9bTSdgOdN29ebGxsNL6YlV/qGelO/C5dZgvSRtngxcfHa9w0x8XFAeh8M50vXz5VPZo0aUKHDh1o3749b968UQuqzZ07lw0bNnDo0CHV31o5lnTw4MGsWLFC4wmjki6fuwIFCmh9MpVZb79H71K+RxmZZaB69eqqn7t06cK4ceNwcXHhwIEDqV70bN++HUCtJ96HtmbNGqKiohg7dqxaDymlx48fExsbm2YvrpCQEAoWLJjhfWs7n5QX2crzJiPneEbKKv9Xdrd9m7b1lZ/RtNoHbTMS5M2bV+uwTOVnIjQ0NFM3XCYmJu/VPqR2E5PR9sHOzk51fE2bNqV58+Z07dqV2NhYtYcKEydO5Nq1axw4cEC1beXsZb/++iu7d+/WOA+U77Uu7UPRokWzNMCZVvugXJbVs5CYmJgQHR2t8QCoZs2aFCpUSOe8cFlB23nx7nWR8n9tvXnevfZp06YNe/fuZcmSJaxevZpKlSpRr1492rRpozEUSZs3b94QGhrK6dOnU22LtM0apEvv0LePJSPXcfny5dN68y5thXbSVqQuOTmZQYMGkZSUxKZNm1TH0bJlSywtLVm+fDmtW7dW/R0z0lYo38NGjRqpzWZlZGRE27ZtWbRoEdevX9cYXgYpn3nlsKfly5drPGyqVq0ac+bM4X//+5/qAayBgQFdu3blzZs3eHl5ae3pJERqbbOu96jPnj0D0MgR+q7Hjx8D8OOPP6ZaJjg4WJcqi3SkGZzx9vZm165dQMof8tKlS1y6dEmjnDLyrhwTrYuPeUo4Z2dnvLy8OH36NBcuXODChQvs37+fxYsXs3HjRiwtLYmKiqJ3797ExMTQt29f7O3tMTc3R19fn6VLl3L+/PmcPgwg+99nbdtXfukou2Jqk1pOkLRyhegyrE5bolJApyRySnnz5lUFiJRBjICAAIoXL65WLiAgAD09vUwHOpRPtLZv385PP/2EsbExCQkJrFq1irp162oE4Ro0aIC5ubnWc1B5A65Ll9fY2FgiIiJ0qqOBgUG623z7PXqXcpm2IU+66tixIwcOHODw4cNagy+JiYns2bMHS0tLmjVrlun9vK+6dety6dIltm7dSps2bTQuWhUKBfb29mkOKctsl+X3PW8+pI+tfUhKSspQTqp8+fKp6lGgQAEePXqkdThCQEBAqsMYdOHo6Ei5cuXYuHGj6obLz8+Pffv20adPH40buZYtW/Lrr79y8eJFjfNE+V7r8vmKiopKNZHzu4yMjFRBwNQo2wflkIW3ZUX7oI2dnR1PnjzROl22jY2Nzgm4P0bGxsZ4eHhw8+ZNTp06xeXLl5k/fz4LFy5k9uzZ6baByvOkTp06DB48WOf9ZqZHn65Su06RtkI30lb858qVK1y+fJkJEyZoBJhatmzJ8uXLuXjxoio4k5G2QrlvbQ9IlcvevQmGlIBl3759iY6OZvXq1alOB96qVSuaN2/OgwcPiIqKomTJkuTPn5+uXbtiaGiocQ0qBGhvm7PjHlXZbiqniNcmKx/8fsnSDM6MHDmSkSNHAimN/6xZs2jXrp1GuZ07dzJp0iStN3zKSJsuc7MryyjHGb9NuezdG57w8HCCgoI0GsvHjx+TP39+VS+SokWLcurUKcLDwzWe0Dx+/BgLCwu1SLi5uTktWrSgRYsWwH/J+rZv386gQYM4d+4cgYGB/P777xo5LrKzu7Sux5tRab33T548ITk5WecnJAULFsTCwoLnz59nqi66sLS05M6dOxrLtfXugZShPLp6O+dMxYoV2bJlC9euXdP4Yrxx4wYlS5bMdB4cSAmUJCUlERkZSb58+QgJCSE+Pl7rhaFCoSA5OVnray9evAC0P3l918GDB7M054y9vT3GxsaqmULeplyW3tj1tCifKqZ2gX78+HGCg4Nxc3PL9MVtVrC3t2f06NH07duXPn36sGbNGrWeZcWLFyckJIRatWppfTKd3TJyjmem7JMnTzTKaltf+RnN7vZBW087be3Dq1evMp1HokKFCpw+fZqbN2+qDYGNi4vD29v7vfOOxcbGqn3ulTcoqd04pvbaixcvMDQ01Kn3w6pVq7I0j4QyyfW1a9c0bgSvX7+Onp4e5cuX12l/unJycuLJkyf4+/trDIX19/f/oHkbtJ0X714XKc+lhw8favRmSe3ax8nJSZVz5tWrV3Ts2JE///xTFZxJreeDspdKZGRkpnuBpCUz13GpkbZCd9JWpMjocWekrVCeb8pZSd8tC2ikEfD19cXNzY2IiAg8PDzS7Z1gYGCgduMbFBTEvXv3qF69+kf9UFtkn8yMxMjIParyXFeOgkmN8no2V65c2fLdIf6jc86Zo0ePpntBs2nTJrXx1REREWzevJk8efJonVLuXeXLl6dQoULs3LmTQYMGqc20tHLlSvT09LR+MS5btkwtQa6XlxdPnz5V68nTtGlTTp48ybJly9QS+548eZK7d+/Svn171Q2Ttozoyi8E5Zef8mnIu09gTp8+rVO+GeVxvXjxgly5clGoUCGd1gHdjjej8ufPj7OzM8ePH+fBgweqLymFQsGyZcsAdO6VYGBgQLVq1XR+HzKjRIkSHD58mJs3b6q+MJVToGuT2ZwzX3/9NdOmTWPDhg20a9dO9Xc/duwYPj4+fPvtt2rr+vn5ERMTQ7FixVQ9yoKDg7U+lXn06BHnz5+nWLFiqs+btbU1lpaWXL58GR8fH7WL2EOHDhETE6N1Rp/r169jbW2ttQv9u7I654y5uTmNGzfGy8sLb29v1fsXFRXF9u3bKVGihFriyoiICFVyROVxR0dHo1AoNAJdSUlJbNiwAUDrbFDw35Cmrl276nRM2alMmTKsW7dOLUCjHMLQsWNH/vjjDzw8PLTmV0jtc5JVMnKOZ6SstbU1lStX5tixYzx9+lT1RR8fH6/1fMyXLx9lypTRGszLKsr2ISAgQPW0Mz4+XvVZetv75JFo3bo1S5cuZc2aNWo3V1u3biUmJkbjYcaLFy9ISEhQGwKsLdgOcP78eR4+fKj23VmyZEkMDAw4cuQI48aNU3vQoJxqNbX2oXz58joFkrM6j0Tx4sWpUKECnp6efPvtt2qJPT09PalVq5ba8b9584aQkBAKFCiQ7uwuqenQoQO7d+9m8+bNarPhHTt2jICAALVE69lNl+uiunXrYmZmxvr16+ncubNq+EJkZCTr16/HzMyMunXrAtqvT+zs7MiXL5/azbnyQU1YWJjawzF9fX3atWvHhg0b8PT0pGXLlhp1fv36tU656rTJ7HWcNtJWSFsBGWsrlMPp9u3bR79+/dRy6mg77oy0FdWrV6dw4cIcP35c7fMSHR3Nnj17yJMnj9p1ysuXL3FzcyM8PJxVq1Zl+CFVcnIy06ZNIykpSetQafFleLst11VG7lEdHR0pU6YMO3bsoHfv3hoPeRUKBXp6etSrV4/8+fOrhga+2xMuNjaWxMREGX6XBXQOzugyltnKyopu3bqpxm7u3LkTPz8/pk2bplPE18DAgJ9//pmRI0fStWtX1bRghw4d4vr16wwbNkwjx4mVlRVeXl4EBgZSo0YN1dTS1tbWql4/kDILwa5du1i+fDkvX76kWrVqvHjxQlV23LhxqrKtW7emcuXKODk5UaBAAYKCgti6dStGRka0adMGgKpVq2JjY8PMmTN5+fIldnZ23Lt3jz179mBvb8+DBw/SPd7MTKWt6/FmxuTJk3F1daV379706tULGxsbjh8/zunTp2nbtm2GZjxq2bIlJ06cUAueZKXu3bvj4eHBiBEjcHNzw8jIiL///jvVYU2ZjfLmy5ePb7/9lpkzZ9KvXz/atm1LQEAAHh4elCpVir59+6qVnzBhAhcvXlR7YrZ06VLOnj1Lw4YNVefRgwcP2Lt3LwkJCfzyyy+q9fX19Rk1ahRTp06le/fu9OzZU/XZ2r59O1ZWVgwYMEBtn1FRUVy5ckXnWYqyOucMwHfffcf58+dV00mam5uzbds2AgICWLp0qVrkXzm968iRIxk1ahSQ8mS0T58+qqSylpaWBAQEsH//fp4+fUqnTp20PlkMCAjg1KlTODk5pdpV+EMrXbo069evp2/fvri5ubF69WrKlCmDm5sbZ8+e5Y8//uD8+fPUqlULCwsL/Pz8OH/+vGoa2OyUkXM8I2UnTpyIq6srLi4u9O7dWzWVdmrnY8uWLfnrr78IDAzMlm6wvXv35sCBA/Tr14+ePXuSkJDAnj17tH4PvU8eCQcHB3r37s369esZOXIkDRs25PHjx6xbt44aNWpo3HD169ePly9fqiWC//XXXwkKCqJWrVoUKlSIuLg47ty5w8GDBzE3N1dLHGlpaUnfvn1ZtWoVHTt2pHv37uTNm5erV6+yb98+ihUrpvHE+cWLFzx9+lTrtObaZHUeCUj5LLm5udG7d2/69OkDwPr161EoFBqJMTds2MDChQuZPn26Wh4Ib29vVS++q1evArBnzx6uXLkCgKurq+oGrU6dOrRt25b9+/czePBgGjVqhJ+fH+vXr8fGxua9vyszQpfrojx58jB+/HimTJlC9+7d6dSpE5Ayy+Tz58+ZMmWK6tgWL17MmTNnaNSoEUWKFEGhUHD8+HGePHnCoEGDVPtVJgh3d3enXbt2mJiYUKZMGezt7Rk7dixXr15lzJgxtGrVikqVKmFkZISfnx///PMP5cuX15itSVeZuY5Li7QV0lZkpK1wdHSkRYsW/P3333Tp0oX27duTK1cuTp06xfHjx6lcubJacDAjbYWBgQH/93//x/Dhw+nRowe9evXCyMiInTt38urVK/73v/+pbqQjIyNxc3Pj5cuXuLq68vTpU9XsOkp169ZVPZCJioqiW7duNGvWjCJFihAREcH+/fu5c+cOY8eOVZv+W3xZKlasiL6+PkuWLCEsLAwzM7N0R6Nk5B5VT0+P33//nX79+tGtWzfVVNrh4eFcunSJ+vXr4+rqipmZGTNnzmTEiBG0bNmSLl26ULx4ccLDw3ny5AleXl4sXLhQEgJngVSDM5MmTUJPT4+pU6diYGCQ5jAIZZdTKysrGjVqxMaNGwkODqZkyZKqCwNdNWnShNWrV7N48WJWrlypenLw7rTbSmZmZqxZs4bff/+d2bNno1AoqF+/PhMnTlT7IjcyMmLlypUsXryYgwcP4uXlRe7cuWnZsiVjxoxRS8I5YMAATp48ybp164iIiCB//vxUqlSJoUOHqnoF5MmThxUrVjBr1izWr19PYmIiFSpUYPny5Wzfvl2n4Exm6Hq8mVGxYkU2b97M/Pnz2bRpE9HR0RQtWpTx48drBATS07p1a2bMmMGePXuyJThTtGhRFi1axJw5c5g3bx6WlpZ06NCBLl260KpVqyzd14ABA7C0tGT16tVMmzYNCwsLWrZsyfjx43V6utS4cWPVk5/Xr1+TlJSEra0tLVu2ZMCAARpR6j59+mBjY8P69etZu3YtsbGxWFlZ0bp1a0aNGqXRy+rw4cPExMS8V8+p91W8eHE2bdqEu7s7y5YtIyEhgXLlyrFixQqdLmZtbW3p0KEDly9f5siRI0RFRWFhYUG5cuX45ptvUm1Ddu3aRVJSUo4mAtamRIkSagEaDw8PHB0dWbp0KRs3bmTPnj0sWLAASAmWVaxYUXVDlp0yco5npKyzszMeHh7Mnj2bZcuWkTt3blq0aIGLi4vWv123bt1YvHgx+/fvz3DboouqVasyY8YMlixZwqxZsyhQoAAuLi5UqFBBlZQxq/z4448ULlyYLVu2cOLECaysrOjTpw+jR4/WafhamzZt2LNnD3v27OHNmzfo6elRqFAhevTowcCBAzXO9x9++IGSJUuybds2li5dSnx8PLa2tri4uDBq1CiNp1Z79+7F2Nj4g3y+UqOcJefPP/9k3rx5qmXz5s3TOjuENnfv3lWtq7Rjxw7Vz+3bt1fraTNz5kwcHBzYsWMH06dPV30mx44dm+U5btIyfvx4Ll++nO51kXICgpUrV7Jo0SIg5UZz0aJFNG3aVFWuadOmBAUF4enpSXBwMKamphQvXpxp06ap9R6sWrUq48ePZ/Pmzfz8888kJiYycuRI7O3tyZ07N5s2bWLVqlV4enpy9OhRDAwMsLOzo2rVqu/dnmb0Oi4t0lb8R9oK3doKd3d3KlasyL59+5g/fz7JyckULlyYoUOHMmzYMI18RBlpKxo2bMjq1atZuHAhixcvJjk5mbJly7J48WKaNGmiKhcaGqpKjp3aQ5e1a9eqgjNGRkY4Ojqyb98+goKCyJUrFxUrVmTFihXUr19ftzdPfJYKFSrE77//zvLly/ntt99ISEigU6dOaY5Iyeg9qpOTE9u3b+evv/7i0KFDbN68GUtLS5ycnKhSpYqqXP369dm+fTvLli1j7969hISEkCdPHooVK0a/fv0+moeknzo9RSqZ0RwdHdHT0+PGjRsYGxun2Si+nd3d29s7e2qqhaurKy9fvkw3J8bn4lM73mXLlrF06VKOHj2abiI4kXmdOnWicOHCOo/9FuJj8Msvv3DmzBk8PT01pnMVWSMuLo6vv/6aNm3a6JxnSmQNZS6+t3OYicyRtiL7SVshhBAfh1RD9d7e3ty7d0+VYNPb2zvVf9OnTwdSppIVQqlv377kzZuXVatW5XRVPltHjhzh4cOHanmUhPgUfPvtt4SGhqryAIist2nTJuLj4/nmm29yuipCZJq0FdlP2gohhPg46JxzRoiMMjEx+WR6+XyqmjZtyu3bt3O6GkJkWP78+VX5QkT26NevX5YPzRDiQ5O2IvtJWyGEEB+H957P9fbt2zx8+DAr6iKEEEIIIYQQQgjxxUk158y7Vq5cyaVLl1iyZIlq2XfffcfBgweBlAStylmDhBBCCCGEEEIIIYRudB7WdODAAdXUjADnzp3jwIEDtGnTBgcHBxYvXsyKFSs0prpLS3x8PPPmzWPPnj2Eh4fj6OjI2LFjMzRlM8DgwYP5559/cHNzY/LkyRla923lypUjOTlZ5mgXX6TIyEj09fW5e/duTlcl20nbI8TH40tqez4m0u6IL520PTlD2h7xJUuv3dF5WNPLly8pXbq06vejR49iY2ODu7s7Q4YMoWfPnhw/fjxDlZs4cSJr1qyhffv2TJ48GX19fQYPHsy1a9d03saJEye4fPlyhvabmuTkZHTsSCTEZ0ehUJCcnJzT1fggpO358igUEB2d8i+zb7VCoSA6IZrohGj5e2WhL6nt+ZhIuyO+dNL25Axpe8SXLL12R+eeMzExMZiYmKh+P3/+PHXq1EFPTw+A0qVLs2nTJp0rdvPmTQ4cOMCkSZNUScg6duxI27ZtcXd3Z8OGDeluIz4+nunTpzNw4EAWLFig875To4zgZtUNlxCfkmrVquV0FT4IaXu+TM+eQcmSKT8/fQolSmRiG6HPKDkvZSNPv31KCctMbERo+FLano+NtDviSydtT86Qtkd8ydJrd3TuOWNra8uDBw+AlF40jx49onr16qrXw8PDVdNu68LT0xMjIyO6deumWmZiYkLXrl25cuUKgYGB6W5j7dq1xMbGMnDgQJ33K4T4sknbI4QQQgghhPjY6NxzpnHjxmzcuJGkpCRu3LiBsbExjRo1Ur3+8OFDChcurPOO7927R8mSJTE3N1db7uTkhEKh4N69exQoUCDV9YOCgvjrr7/45ZdfyJUrl877FTkrJAS2bwd/f7Czg65dwcoqp2slviTS9gghhBBCCCE+NjoHZ0aMGMH9+/fZuHEjxsbG/Pjjj6qZmWJjY/Hy8qJr16467zgoKAhbW1uN5TY2NgDpPr2eM2cOJUuWpEOHDjrvU+QchQJ++QXc3cHAICXvg5kZjBqloGHXN1g3fMTzN1EkJinIb2FMuYJ5aF7ejob2NhgbvveM70KoSNsjMiosNoyDDw9y7Okx1bJFFxfRuWxnahapib6etFFCiMzbdtmHZf88oe5X1vzSthz6+no5XSUhhBAZdOV5CD/uvMW45va0KG+XqW3oHJzJmzcva9asITIyEhMTE4yMjNReX79+PXZ2ulciNjZWYxuAKq9NXFxcquvevHmT3bt3s27dOlXOG/Fx++UXmDMHYmP/WxYVBaCH15a85H6SD6sGwQD4h8dyxy+cbVd8KWKVi2+/LkPXqkXkby2yhLQ9Qld+EX5MOTmF1ddXE5ek/rlwP+eO+zl3SluV5qcGP+Hq5IqBvkEO1VQI8al6FBjBxJ23SEpW8DAwknIF89C9etGcrpYQQogMWnryMfcDIjjuHZjp4EyGH/dZWFho3NiYmpri6OiIpaWlztsxNTUlISFBY7nyxujt5MNvUygU/O9//6N58+aSyOsTERKS0mMmOlr764pEQ6KvlGZyUydmd6vE+Ob21P0qP/p64BsSw/fbb+K26iIB4bHaNyBEBkjbI9KjUChYc30NDgsdWHplKXFJcZgamlKrcC1Vma/yfQXA45DH9N/Tn4arG/L4zeOcqrIQ4hO15ZIPScn/zVyz/sLzHKyNEEKIzEhISubc49cAVCme+ZwdOvecUXr27BnPnz8nJCRE6+sdO3bUaTs2NjZahw8EBQUBpJrzwcvLi5s3bzJ27Fh8fX3VXouMjMTX1xdra2tMTU11qofIftu3pwxlSouJkT48LUqXpim/j2xShmfBUbgfvs/+m6849TCYDgvPsKJvNQrnS2b73e34R/pjZ2FH13JdscoliWuEbqTtEWlJTE5k+P7hrLi2AgAbMxt+avAT/Sv353XMa9VsTV6uXkTFR/H76d/ZeGsjZ3zOUG15NXZ030GTkk1y8hCEEJ8Qzzv+ANQulZ9zT15z0zcMv9AYCllKTjMhhPhUXPcJJSIuEYAGZWwyvR2dgzPBwcFMmDCBs2fPAmidn15PT0/n4IyjoyPr1q0jKipKLTHnjRs3VK9r4+fnR3JyMn379tV4befOnezcuZPly5fToEEDneohsp+/P0RHK4DUh4FER6eUe1sJa3MW9qpCWyd/vt92g1fhMTRaNpwIo10Y6RsQnRCNmZEZoz1HM772eKY0niJDTUS6pO35MpmZQefO//2sTWxiLD2292Dv/b0AdHTsyIp2K8hvlh+AmMQYOpdN2YiZkRklLEuwofMG+lbqS9/dffGP9KfF+hZs7rKZLuW6ZPsxCSE+ba/CYvB5EwPA9y0dcFt5kci4RC49e0OHyrpPsiGE+Pgcvx/IuC3XiYpLytB6ZWwtWDewJvnMdZ8FWeS8fx6kPOR1sM2NXd7MP6jVOTgzZcoUzp49i4uLC7Vq1crQECZtWrZsyapVq9i2bRv9+vUDID4+np07d1KlShVVwk4/Pz9iYmIoXbo0AE2aNKFIkSIa2xsxYgSNGzema9eulC9f/r3qJrKWTYFkDIwVJMal3n3GzCxl9iZtWlawo5SNOV8vH86bxJ0okuKI/7edi0qIAmDO+TkATG0yNUvrLj4/0vZ8mQoUgB07Un89KTmJ3jt7qwIzk+tPZmrjqWoB3wLmBdjRXXMjzUs358KgC7Td2JZbgbdw2eHCbqPdtC7TOsuPQwjx+bj0LKUXupmxAU6F8+JczJJTD4O58jxEgjNCfOK2XPQhJFpzGH167viFM27rdVb1rS7JwT8hyuBM/TLW77UdnYMzZ8+epWfPnvzyyy/vtUOlSpUq0bJlS9zd3QkKCqJYsWLs2rULPz8/pk+frio3YcIELl68yP379wEoVqwYxYoV07rNokWL0rRp0yypn8gaCoWC+7nukZikvTeCUlISdOuW+us2eRIJYgcKPe3JWqMTonE/5853db7D0tTyPWosPnfS9oh3KRQKRh0axc57OwGY2XQmP9T9IUPbKJa3GCf6naDR6kbcCrxFl61dON3/NFULVc2OKgshPgPXXqQEZyoXtcTQQB/nYlacehjMtRehOVsxIcR7u+0XBkD/uiVo5KB9yPy77vuH8/tBb07cD2LxyceMaPxVdlZRZJE3UfHcfJny925gn/khTZCB4ExycnKq3f0z648//uDPP/9kz549hIWF4eDgwLJly6haVS5mPxcbLrxg191n5KluTMzV0iTEaeagNjODceMgrc5Y2+9ux1DfgLR6BhroGbDtzjYGVx38/hUXnzVpe8Tbll9dzuLLiwEYX3t8hgMzSvly5cPL1Yu6q+ryOOQxHbd05PLgy9haaE7dLoQQDwMiAShXMA8A5Qul/P8wMIKkZAUG8tRciE9SSFQ8viEpQxbbOhWiqo4JYhva2/D8dTQbLrxg9uH7VC1uRa1S+bOzqiILnHkUjEIBJob61CiZ7722pXNwplq1anh7e7/Xzt5lYmLChAkTmDBhQqpl1q1bp9O2lE+3xcfjyvM3/LbvDgC9vgnH+r4es2aBcqbiXLlAoUgJzEyZkva2/CP9iU5IZbqnf0UnROMf6Z9mGSFA2p4vkb8/uLml/Lx27X/DKK++usroQ6MB6Fy2MzObzUx9G5H+uO1K2cjaTmuxs9Aci2lrYcuennuotbIWvuG+9Njeg6NuR2WabSGEhgcBEQDY2+ZW+z82IRmfN9GUsDZPdV0hxMfrjl84APp6/wVfdfVz23Jc9wnljl84ozZd4+Do+tjk1j6TqPg4KIc01SyVH1Oj97ve03kq7YkTJ+Ll5cXff//9XjsUX4bw2ARGb7pOQpICe1sL3LtVYupUPS5c+K/Mzz/Dq1cwdSqkl8fXzsIOM6NUsnj+y8zITOvNkhBCxMaCl1fKv9jYlGWR8ZF029aNuKQ4vsr3Favar0JfL/WvxdjEWLyeeOH1xIvYxNhUy5UvUJ61HdcCcPL5SdzPumfpsQghPn1h0QkERqQ8rfrK1gKAYvnMMDFMaYPu/xu4EUJ8em79O8TlqwIW5DLO2M26qZEBf/WuQm4TQ4Ii4vh28zWSkjUn4hEZ8yQokkk7b3H7379NVlEoFPzzMCU40+A9881ABnrO/Prrr5ibmzNmzBgKFChA0aJF0ddXv4jV09NjzZo1710p8embsu8uL0NjMDXS56/eVTE3Sfmo5c37XxkXl7SHMr2ta7mujPYcnWaZJEUS3cqnkbhGCCHeMvHIRJ6EPMHEwITt3baT1zRv+ivpqFPZTgyvNpzFlxfz8/GfaV66Oc4FnbNs+0KIT9vDwP+CL2UKpARnDPT1+KqABXf8wnngH0GL8vLASYhPkTLfTIVCmbuuKJ7fnFndnBi2/ipnH79m3tGHjGtmn5VV/KIERcThuvIiL0NjuO8fzs5v6mbZth8ERBIQnhJof998M5CBnjO+vr4kJCRQsGBBDAwM8PPzw9fXV+2fj4/Pe1dIfPr+vuPP9iu+AExqVZav/r3oeB9WuawYX3t8qr1nDDDlu1rjJRmwEEInJ5+dZNGlRQD81ug3KtlVyvJ9uDd3xyG/AwnJCfTd3ZeEpIzP2iCE+Dw9DEzJN1Mwrym5TY1Uy0vbpFwzPXud9lBuIcTH686/vTMqFM78Q5+WFQoyoG5JABYce6gaOiMyJjYhiaHrLvMyNCUH0NUXofi8ybr2Vfl3sctjqgq0vw+de84cO3bsvXcmPn/hsQlM3nUbgHpfWeNaq3iWbXtK45TENLPOziIuKSVCaWJgSnxiMuaJHaiQe1CW7UsI8fmKSYhhwKEBAFQvVJ3v6nyXLfsxMzJjbae11FpRi1uBt5h3YR7j64zPln0JIT4tz/8NvpTIr55Xpli+lIdQL95EffA6CSHeX3hsgiq4+j7BGYCJrRy5+iKE6z6hjNlynYOj62OX1zQrqvlFUCgUTNhxk6svQtHTAzMjA6Lik9h3049vGmXNTFiqIU321uill6dDBzr3nBFCF3MOPyA4Mo5cRgbM7OqEfhbONKCnp8fUJlO5MOi/xDX/1+gXhpTxwirRld8PehMUoX2qbSGEUFp6ZSlPQp5gpG+ERwcPDPV1fk6RYTUK12BE9REA/N+J/+NF2Its25cQ4tPhE5Jy81Y0Xy615cXyK4Mz0nNGiE/RnZcpyYD19KBcoYwlA36XsaE+i3pXwdLMiDdR8YzadJWEpOSsqOYXYcGxR+y57gfApFaOdKtWFIC9/y57X7EJSVx4+gbImiFNkIngjK+vL9u2bWPx4sX4+qYMXYmPj8fPz4/4+PgsqZT4NN1+Gcbac88AGNO0DIUtc6W9Qia9nRfCpYIL0zrUJG8uI8JjE5l24G627FMI8flQTpv9Xe3vKF+gfLbvb1qTadhZ2BGdEK2aGUoI8WXz/Tf4UtRKfbi2sudMQHgcsQlJH7xeQoj3o0w4W9LaHAuT93/4U9gyF3O6pwy9vvQsBPe/ZZZQXey/6cccrwcAdK9WhMH1S9GuUiEAvP0jeJgFSdcvPH1DfGIyenopI0ayQoaCM7NmzaJFixb8/PPPzJ8/X5VjJj4+njZt2rBx48YsqZT49CQnK/hp922SFSmJ7QbUK/nB9m1tYcKPrR0B2HPdjyvP33ywfQshPj3xiXEUtCjIj/V//CD7y2ual7kt5gKw5/4eTjw78UH2K4T4ePmEpOQ/KJpPPThTPP9/v2dlXgQhxIfxvsmAtWniaMvwRqUBWPrPE7zuBmTZtj9H131C+W7rDQBqlszHtI4V0dPTo0oxS4pYpXQe2Hvj/XvPKPPNOBWxxNLM+L23BxnIObN582ZWrlyJq6srjRs3ZsCAAarXLCwsaNKkCcePH6dfv35ZUjHxadl9/SXXfUIBmNqxAkYGH3bEXLeqRVl3/jm3X4YzZf89dg2vk6VDqoQQWefc49fEJ37YbrmhIXrUbhfJuZeHwTiSQU5TyW2SO0PbsDC2YHCVwaqfM6JH+R4suLiAsz5nGX94PBcHX0xz2m4hxOcrKi6RN1Epvc3fHdZkm9sUY0N94hOTefEmmjK2GWunhBA5SzmNdsX3zDfzru+a2XPlWQgXn73hu63XOTC6vkZwV4BfaAyD114mLjGZEvnNWNKnKsaGKddbenp6tKtUiMUnHrP3hh/jmtm/V54YZXCmYRZMoa2kc3Bm48aNNGvWjMmTJxMSEqLxuoODA5cuXcqyiolPR2xCkqqLXVungtQqlf+D10FfX49f2pan+9Jz3PAJZe8NPzo6F/7g9RBCpC8+MVmVNf9DUaAgsEknCLvOV3mdaVy0c4a3YW1mzbJ2yzK1fz09PWY3n03tlbW58uoKm25tordT70xtSwjxafMN+a/9e3dYk76+HkWtcvE4KEqVNFgI8WmIjEvkaXBKMu/yhd8v38y7DA30WdDLmdbzTvE6Kp6RG6+ydVhtTAwNsnQ/n7KouEQGrrlMUEQceUwNWdG3Olbm6j1a2v8bnHn+OpqbvmFUKmqZqX35hcaoZt3LqnwzkIFhTc+ePaNOnTqpvm5lZaU1aCM+f2vOPsMvLBYjAz1+aOGYY/WoUTIfbSoWBGDGIW9i4mWsthAixZXAwzwOuw5AL8fJOdJrpVaRWnQv3x2AH4/9SEzChw1QCSE+DsrhSiaG+tjkNtF4vdC/OftehUkbIcSn5N6rcBSKlJ/LZ+GwJiXbPKbM6+mMnh7c8A1j+kHvLN/HpyopWcG3m69z71U4Bvp6/NW7Kl9pmdra0S63asrr9xnadPphMAC5TQ2pnMkAjzY6X52amJgQE5P6l4Sfnx958mRthFB8/EKj41l0/BEAfWoVV80ykFMmtnLE2EAf//BYVXJiIcSXLVmRxLaH7gBUtmmMg1X1HKvL9K+nY6RvxIuwFyy7krleOEKIT5typqYiVrm0dqkvlFcZnIn9oPUSQryfW74pQ5qK5zcjby6jbNlHvTLWfPt1GQBWn33GgZuvsmU/n5o/PL05ci8lF89v7ctTL5WhRnp6erT/NzHw/pt+JCUrMrW/k/9OoV23tDWGWZjOQ+dhTU5OTnh5eanlmlGKi4tjz549VKlSJcsqJj4Ni44/Ijw2kdwmhoxqUianq0PRfGb0rlUMjzPPWHzyMS41i5HHNHsaRyHEp+Hsqz34+kXApssEmn9FyNxICltmfDt+EX6029QOgH0u+yiUu1CGt1HKqhSDqwzmr8t/MePMDAZXHYyZkYwZF+JL8vLfYU1FrLSf+wUtTQEJzgjxqcmOZMDajGpShsvPQjj9KJgJO27yJCgyQ7k2rS2MaWBvQ8G82TOz7oe25dILlv7zBID+dUvQp1bxNMu3q1SI2V4PCAiP4+LTN9QunbGUHEnJClXPmfr2WZdvBjIQnBk4cCADBw7k+++/p0uXLgAEBwdz6tQpFixYQEBAALNnz87SyomP26uwGNacfQ7A8MalyWeeNVmq39c3jb5iyyUfQqMTWHnqKWOb2ed0lYQQOSQxOZ7tD+dAkjG8qoofkJgQmaltxSfFc/XVVdXPmTWp/iRWXFuBf6Q/Sy4vYVztcZnelhDi0/MqPCXoUjCvqdbXlctffeDcXEKI96OcRrtCFicDfpeBvh5/9qxM63mnCIyIY/a/U0ZnVNmCeWjsYEMTxwI4F7PC4BOcTOXc49dM3nUbgEYONvzUply665SwNqdSkbzc8A1j302/DAdnbvqGEhaTAECDMlmXbwYyEJypU6cOv/76K//73//Yv38/AD/88AMARkZGTJ06FWdn5yytnPi4LT7xmPikZGxym9C/zoebOjs9NrlN6F+3BIuOP2bl6af0q1NCIxmUEOLLcOrlDoJifNDTK0XmOq5mvSJ5ijCkyhAWXlrIzDMzGVp1KObG5jldLSHEBxL4b3DGNk9qwZmUp9kBEXEkJSs+yRsmIb40MfFJPPo3QWyFLE4GrI21hQnL3Krxh6c3sQm659lUAI8CI4mITeTeq3DuvQrnrxOPsTQzokGZlEBNA3ubj+ahe1qeBkcxfMMVEpMV2NtasMDFWef2sl2lQtzwDePQrVf81r58hmYa/udBSq+ZUtbmWT5jls7BGYAePXrQpEkTPD09efLkCQqFghIlStCqVStsbW2ztGLi4/YqLIbNF30AGNawNLmMP65M4UPql2btuedExCay5ORjJrUum9NVEkJ8YEnJiex7uhiAagWa8zHNJzip/iSWX11OYFQgf136i+/rfp/TVRJCfCD+6QRnCv07rCkpWUFQRBx2qfSwEUJ8PO75h6NMX5Ldw5qUKhe1ZOPgWhleLyEpmavPQzh2P5AT3kHcD4ggNDqBvTf82HvDDz09cC5qSWOHAjR2LED5Qnnea8rp7BAWncDA1ZcIjU4gv7kxK/tWJ3cGUlm0q1SI/x28R0h0AqcfBtPYsYDO6576N99MVs7SpJSh4AyAjY0Nrq6uWV4R8WlZ8lavmd41i+V0dTTkNTNiaINSuB9+wJpzzxjcoBTWFpozIgghPl8X/A8QEP0cPfT4ulifjyo4Uyh3IYZVG8a8C/OYdXYWI2qMkNwzQnwBFAoFAeFxANjl1X5dYvdWHgi/sBgJzogcFR8fz7x589izZw/h4eE4OjoyduxYateundNV+6gohzQVtsz10ffYNzLQp2ap/NQslZ9JrcriGxLNiftBHPcO5MzjYGITkrn6IpSrL0KZ7fUAawsTLM0+rhyeYTEJBEXEYWygzzK3qhnuwWKbx5SaJfNx/skb9t7w0zk4Ex6bwDWfUAAaZHG+GchgcCY2NhYfHx8iIyOxsLCgaNGimJrKF8aXxj8slk3/9poZ2qAUpkYfV68Zpf51S7Li9NOU3DOnnzKhZc5N8y2E+LCSFcnsebIIgGq2LbEzK5GzFdJiQt0JLL68mKDoIDyueTCixoicrpIQIpuFRCcQn5gMpN5zxsLEkNymhkTEJvIqNBY+vmdg4gsyceJEDh8+jJubG8WLF2fXrl0MHjyYdevWSUqLt/yXb+bTm724iJUZfWoVp0+t4sQmJHH+yWuOewdy7H4gPm9iCI6MIzgyLqerqdUfXZ2oWjxfptZtX6kw55+84fAdf2Lik3QaCXL2UTBJyQqMDPSoWTJjuWp0oVNw5tq1ayxYsICLFy+SlPTfmDZDQ0Nq1KjBt99+i5OTU5ZXTnycFp94RHxSMtYWJvSumXY27JxkbmLIgLolmeP1gHXnnjOsQWnyfmRRXyFE9rgWdBTfyPsAdCg1AqJyuEJaFMxdkH6V+rHs6jLcz7kztNpQDPUz3KFVCPEJCQj/bwYmu1SCM5Aynfb92AhehUlSYJFzbt68yYEDB5g0aRL9+vUDoGPHjrRt2xZ3d3c2bNiQsxX8iNx6GQ5AxWxOBpzdTI0MaORQgEYOBfhVoeBxUBSXn70hISk5p6umoWIRSyoXtcz0+q0q2PHLnttExSdxzDuQNk4F013n5L/5ZqoVz4e5SdZfs6W7xYMHD/LDDz+QmJhIoUKFcHBwwMLCgsjISO7fv8+ZM2e4cOECs2fPpkWLFlleQfFxebvXzLCGpT66XDPv6lunBMv/eUJEXCKrzz7j26Y5P923ECJ7KRQK9jxeCICTdUNK5q1I0EcYnAEYX2c8y68u51noM7be2Uqvir1yukpCiGykzDdjZKCHlVnqQx/s8ppyPyBCptMWOcrT0xMjIyO6deumWmZiYkLXrl2ZO3cugYGBFCige66Oz1VsQhIPAyIAKP+JB2fepqenx1cFLPiqgEVOVyVbWJmnTCl+zDuQvTdephucUSgU/PMg+/LNQDrBmeDgYH7++Wesra2ZPn261rGFZ8+eZdKkSUyePJlq1aqRP3/Wd+8RH4/lp558Er1mlPLmMsK1dnH+OvGYVWeeMrB+SSyyIcophPh43Hlzhsdh1wHoUGokAGYWybTvG6b6OTPymuRlUr1Jqp+zQpn8Zeharivb7m5jxukZuFRw+eiS7gkhsk7Av8GWArlN0U9jVhFlUmDpOSNy0r179yhZsiTm5uozCjo5OaFQKLh3754EZ4AHAREk/psN+EMlAxZZo32lQhzzDuT4/SDCYxPIk0ZS4afBUbwMTWmTsyPfDECac0bt2LGDuLg4li9fnmrSpzp16rBs2TJiYmLYuXNntlRSfBxCo+PZdPEFAAPrlfzoe80oDaxXElMjfcJiElh//nlOV0cIkc32PVkCgINVDRzz1QDAPI+CHsPD6DE8DPM8mZtU2yqXFb9//Tu/f/07Vrmssqy+E+pOAOBW4C0OPTqUZdsVQnx8lD1n0kvya5cnJSmwv/ScETkoKChIa/DFxial10BgYOCHrtJH6da/+Wbs8phik1smIPmUNCtni6mRPvGJyfx92z/NsspeM9YWJpS1y57cQmkGZ86fP0+9evUoUybtoSAODg7Ur1+fs2fPZmnlxMdl/fnnRMcnYWFiSO9an052uvxv9fJZceoJsQlJ6awhhPhU+UTc5/brUwC0LTksh2ujm6qFqtKsVDMAZpyekcO1EUJkJ2XOmbTyzcB/MzkpZ3YSIifExsZiZKTZk8DEJOXzGRcnn0+A2//mm/kUkwF/6cxNDPm6rC0Ae2/4pVn2n4cp+Wbql7FOs+fj+0gzOPPo0SOqVKmi04aqVKnCo0ePsqRS4uMTm5CEx5lnAPSuWSzNLl8foyENSmFsoE9wZDyb/+39I4T4/Hg+XwlAQbNSVLZpnMO10d3EehMBOPXiFOd9z+dwbYQQ2UUZbCmQJ+2n68qZnALCY0lOzlxvPyHel6mpKQkJCRrLlUEZZZDmS/ffTE0ypOlT1L5SIQDOPn6d6qxUcYlJnHv8Gsi+IU2QTnAmIiICa2vddm5tbU14eHiWVEp8fLZf8eV1VDzGBvoMqFcyp6uTYbZ5TOlStQgAK04/JfEjzDguhHg/YXHBnPHbDUCLEv3R1/vvK+51oAHfdizEtx0L8Towc0MyfcN9KfFnCUr8WQLfcN+sqLJK4xKNqVIw5WHI3PNzs3TbQoiPh3KYUno9ZwrmTRnWlJisIDhKeieInGFjY6N16FJQUMrwDsk3A/GJydz3T0kGLPlmPk2NHGzIbWpIUrKCg7deaS1z5VkIMf+OvqhfJnuSAUM6wZnUurJpY2hoSHx8fJZUSnxckpIVLD/1BIBOzoVVT3M+NUMalEJPD3xDYjiUzphCIcSn55jPBhKS4zA3ykv9Ql3VXktOhGB/Q4L9DUlOzNz2E5MTeR72nOdhz0nM7EZSoaenx9haYwHYcXcHL8Kkh58Qn6MAnXPO/Pe65J0ROcXR0ZGnT58SFaU+5eGNGzdUr3/pHgZGEP/vQ1/pOfNpMjE0oGV5OwD2Xtc+tEk5pKl8oTxYW2Rfj7E0gzOAzBoh8Lztz/PX0ejpweAGpXK6OplW0tqcFuVSTryl/zxGoZBuwkJ8LhKS4/B6sQ6AJkV6YWpolsM1yrju5btT0KIgSYokFlxYkNPVEUJksbjEJF5HpTzITO9BV55chuQySunlJ8EZkVNatmxJQkIC27ZtUy2Lj49n586dVKlSBVtb2xys3cdBOaTJ2sIE23SGK4qPV7t/hzZdfh6impHpbdk9hbZSunMKT548mV9++SXdDSUlSZLVz5FCoWDJyccANCtr+8nPcz+kYSk87/hz+2U45x6/ps5X2TdmUAjx4Zx7tY+w+CAM9AxpVrxvTlcnU4wNjBlZYySTj01m+dXl/F+j/8PC+NNuc4UQ/wmK+G94UnrBGT09PezymvI0OErV20aID61SpUq0bNkSd3d3goKCKFasGLt27cLPz4/p06fndPU+Cm8nA5ZODZ+uOqXzY21hTHBkPPtu+DGsYWnVa0ERcdx9lfJ3rl8me+8d0wzOVK9ePVt3Lj5+5x6/Vk0PN/StD+mnqkoxK2qUyMfFZ29Y8s8TCc4I8RlQKBQcepaSCLiGXWvymxbM4Rpl3tCqQ5n2zzTC4sLwuObBqJqjcrpKQogs8naQJb2cMwC2eUx4GhzFK+k5I3LQH3/8wZ9//smePXsICwvDwcGBZcuWUbVq1Zyu2kdBeZ9UUYY0fdIMDfRpXbEga889Z+919eDMqYcpvWbMjA2oVjxf9tYjrRfXrVuXrTsXH7/F//aaqVEiH1WLW+VwbbLGkAaluPjsDf88COLeq3DKFpRp74T4lN19c44XEXcBaFViUA7X5v3kN8uPWyU3ll5ZyrwL8/im+jcY6GcugbEQ4uPiH5bScyaPqSG5jNM/r5VJgf2l54zIQSYmJkyYMIEJEybkdFU+OolJydz7t0dFeUkG/MlrX6kQa8895+6rcB4FRqpGjCiHNNUulR9jw3SzwryX7N26+KTd8Qvj1L/Jj4Y2/HRzzbyriWMBStuYA7Dsnyc5XBshxPvy/LfXjL1lNUrnrZTDtXl/Y2qNAeBxyGP2P9ifs5URQmQZfx2TASsphz5JzhkhPk6Pg6KIS1QmA5aHvZ+6KsWsKGyZEhTfdyMlMXBysoLTj1Luh7M73wxIcEakYenJlMCFva0FjR0+n6ny9PX1GNogpavavht+WpM+CSE+Df5RT7kWdBSAViUG5nBtsoajtSOty7QGZFptIT4ngf8GZ3Sd9bLgv0Ec6TkjxMdJOaTJysxIdVMvPl36+nq0rZQyNH7fDT8UCgV3X4UTHJmSyD27882ABGdEKnzeRHPg33nehzQojb7+55XgqoNzIQrkNiExWcGq009zujpCiEzyfL4KBQqsTYtQtUDzVMuZ50mm16gQeo0KwTxPcqb2ZWVqhXszd9ybuWNlmr3DPJXTap98fpJrr65l676EEB+GfwaDM2/3nJEZJoX4+ChnaqpQOK8kA/5MtP931qYnwVHc8Qvnn3/zzRSxykVJa/Ns378EZ4RWK049ISlZQcG8pqoP6efExNCA/nVLArD54gvCohNyuEZCiIyKSgjjn5cp03u2KN4PA/3U06iZWSho0zuCNr0jMLPI3E1OXtO8fFfnO76r8x15TbN3bPnXJb+mYoGKgPSeEeJzEaAKzug23a5y+FN0fBIRcYnZVi8hROa8HZwRn4dyBfOo0l/sveGnNoX2hwjASXBGaHgTFc+Wyz4ADKxXMtsTH+WUXjWLYW5sQFR8EusvPM/p6gghMuiYzybikmIwNTCnUZEeOV2dLKWnp6fKPbP59mZeRbzK2QoJId5bYHhKQmBdZmqC/4Y1AQRI3hkhPipJyQrV9MoVJBnwZ0NPT4/2lQoDsPvaS648DwGgQZnszzcDEpwRWqw994zYhGTymBrSs0axnK5Otsmby4heNVOOz+PMM2ITknK4RkIIXSUmJ3D4xWoAGhXpgZnR55eIr1fFXhQwL0BCcgKLLi3K6eqIHBYYGIi7uzuurq44Ozvj4ODAhQsXcrpaIgOUPWcK6BicsbYwweDfYeWSd0aIj8vT4Cii41PuHSQZ8OelfeWUUSOBEXEkJCkw0Nejzlf5P8i+dQ7OxMbKl8KXICY+iTVnnwHQp1ZxLEzSnG39kzegXkkM9fUIjoxj17WXOV0dIYSOLgUc4k3sK/TQo0Xx/umWD3plwMAmRRjYpAhBrzI3NfXz0Ofknp6b3NNz8zw0+3vbmRqaMrzacACWXF5CTIIkL/+SPX36lOXLlxMQEICDg0NOV0dkUGRcIlH/3sjpmnPGQF+PArlThkC9kp4zX6RLly7p9E98eMohTblNDSmWzyyHayOyUklrcyq+NVTNuagleUyNPsi+db7zrlevHm3atKFbt25UqFAhO+skctD2Kz6ERCdgbKBPv7olcro62a5g3lx0qFyYHVd9WfbPE7pXK6p6SiWE+DgpFAoO/Tt9dlXb5hQw06GHnwJio/VVP2dqvyiIjI9U/fwhDK82nOmnp/M65jXrbq5jSNUhH2S/4uNTvnx5zp8/j5WVFUeOHGHEiBE5XSWRAQFv9XzRNedMSllTXoXFyrCmL5Srq6tOeS7u3bv3AWoj3qbKN1NIkgF/jtpXKqSajetDTKGtpHNwpkqVKmzfvp2tW7dib29Pt27daN++PXnySDeuz0ViUjLLT6XMXNSlamEK5Nbtyc6nbljDUuy46svT4Ci87vrTskLBnK6SECIND0Ov8DjsOgCtig/K2cpkM1sLW3pX7I3HdQ/+PP8ng6sMlovAL5SFhUVOV0G8B2VwRk8vZbiSrpT5aV7JsKYv0vTp0zWWJSYm4uPjw86dOylSpAg9enxeOdc+Fcob94pFJN/M56htpYLM9PQmMVlBE8cCH2y/Ogdnli1bRkBAADt37mTnzp1MmzaNWbNm0bRpU7p160atWrWys57iA/C848+LN9Ho6cGg+qVyujofTBnb3DQtW4Aj9wJZfPIJLcrbyc2PEB8xZa+Zknkq4mBVPYdrk/2+rfktHtc9uBd8j78f/03Lr1rmdJWEEBmkTAac39wEIwPdUz4qZ2ySnjNfpk6dOqX62sCBA9N8XWSf5GQFd/1SkgGXLyQdFT5HBfPmwqN/dSJiEz/obFwZSghsa2vL8OHD8fLyYvXq1TRr1owjR47Qv39/mjVrxpIlSwgICNB5e/Hx8cyaNYt69erh5ORE9+7dOXfuXLrrHT58mDFjxtCkSRMqVapEy5YtmTlzJhERERk5HPEWhULB0pNPAGhW1pbSNl/WE7qhDUsDcMMnlPNP3uRwbYQQqQmK9uFSgCcArUoM/CICqZXsKtGkZBNAptUW4lPln8FptJWUwRlJCCzelTdvXrp168aKFStyuipfnBdvolXT28s02p+v+mVsaF3xw46oyPRsTbVq1cLd3Z3Tp0/Trl07fHx8mDdvHl9//TXffPMNN2/eTHcbEydOZM2aNbRv357Jkyejr6/P4MGDuXbtWprr/fzzzzx+/JgOHTrw008/Ua9ePdatW4eLiwtxcXGZPaQv2rknr1Xd85SBii9J9RL5qFrcCoCl/zzO4doIIVLz94vVKEjGysSWmnZtcro6H8zYWmMBOPz4MHcC7+RwbYQQGRWgCs5kbMi4cliTv/ScEVrkyZMHHx+fnK7GF0d5z2RubEDJ/OY5XBvxOcn0VDwhISHs2bOH7du38+jRI3LlykXr1q0xNjZm7969nDhxgl9//ZXu3btrXf/mzZscOHCASZMm0a9fPwA6duxI27ZtcXd3///27juuyvJ94PjnnMNhb8QJggscKCrOtOEoySxnjkqy0rSt6e+rfsu+paUNZ5qZK81Mza2V5szK3AMz1BRxMARk7wOc5/fHERRZBwQO43q/Xr6CZ9zPdYhz85zrue/rZu3atYVe+8svv6Rz5855tvn4+DB58mR+/vlnBg0aVNqXVWPljJrp4OGUm6SoacY+0phX15zit0vRXIhIpEU9GaYoRGWSlpXMb6EbAHi84YuYqc1NHFHF6dusL14uXvwb8y/zj85n2TPLTB2SEKIEcqY1lXbkTEyKjoysbCzMSrfanKh+MjIy2LFjB7Vq1TJ1KDXO+XBDcqZVfQfUspCIKEMlSs4oisIff/zBpk2bOHjwIJmZmbRs2ZL//e9/PP3007nF6t59913eeustFi9eXGhyZvfu3Wi1Wp599tncbRYWFgwZMoR58+YRFRVF7doFF9+5PzED0Lt3bwCCg2XUQ0ldiEjk0L/RQM0cNZOjd4s6NK1ty5WoZL45FMz84e1MHZIoJzqdjgULFrB9+3YSExNp3rw5EyZMoGvXrkWet2fPHn755RfOnTtHTEwM9erVo0ePHrz++uvY2dlVUPQ116HQH0nLSsJcbUkv9+cfqC17y1I/mzAJtUrNO53f4Y1f3mDNuTXM7DUTV5uKWz1ACPFgckbOlHSxhbr3jLSJSszAXZbsrVGmTp1a4PaEhATOnj1LbGws//nPfyo4KpG7UpNMaRJlzOi70/nz57Nt2zYiIyOxsrJi4MCBDB06tMBlte3s7BgwYEChHQoYlnxr1KgRNjZ5h4K1adMGRVG4cOFCocmZgty+fRsAJ6eaOerjQSz73TBqpomrDb0qsBp1ZaNWq3j1kcb8Z9M5dp6LYFIfb9yc5CaoOpoyZQp79uwhICAADw8Ptm7dypgxY1izZg3t2hWelJs2bRq1a9emf//+1K9fn0uXLrFmzRr++OMPNm/ejIVFyZ6ICuPplWx2X18JwMMNhmBr7lii8+0c9bz6fkzu11qNmiPBMdhZmNHQxZrIxHQiEtJRilghOzVTYXKnLwG4EKpwPTK6VK8lRx17C+JSM9Fl6Y06vrF1X+zMHUnSxTNl9xwCfCY+0PVzmJup6drEpUzaEkIULDKpdNOaLMzTSNLsJlsVx5KTl5n08Is4Wcm9bk2xdevWArc7ODjQqFEjpk6dytNPP13BUdVsiqJwPsxQDNingYyyF2XL6OTMkiVLaNWqFa+//jr9+vXD2rroD62tWrXijTfeKHR/dHQ0derUybfd1dXwJDAqKsrY0ABYtmwZGo2GJ554okTn1XTh8WnsCAwH4NVHGlfo0LwS5N4qTP+29Zmz5xKRiRks/yOED59pZeqQRBmTKZVV06movUSnGebV+3u8XOLzLa0VHu2XkmebLktPplaPvZUWeyst9R2t+Cc8kavRyegLTNJoaOPcH4C4FIgjrcRx3MvFxhxdlp6weGPbUfNYgxHsDPmazf+u5JH6r6BVP3hCsIGj1QO3IYQonKIoRN6Z1lTXwbj3rKIofHDwA2YfmY3OHPRKOnOOb2XuialM6jqJ6T2m14iC6DXdxYsXTR2CuE9oXBoJaZmAjJwRZc/o5MzWrVtp0aKF0Q03a9aMZs2aFbo/PT0drVabb3vOk+eSFPbduXMnmzZtYuzYsTRs2NDo8wQs/yOELL2Cq50FA9o1qNBr6417WFyhLMw0vNK9ETN/uciGEzd5p1cznGxqTl2LmkCmVFZNOctnt3XtQX3bspt+eSEiieT0LHzcHHCyNqdTI2da1bcvJkljOo97vMjP15aSoIvmSMROHmkwxNQhiQq0ePFi4G5/s337dk6dOoW9vT0vvPCCKUMTRUhIuztCzthpTR8c/IC5R+eSnnWnELAKMrJTAZh7dC4AM3rOKPtghRBFypnSZKlV17jVbUX5M3q1plmzZhW5zPXRo0cJCAgw+sKWlpZkZmbm256TlDF2esDJkyd57733eOyxx3jnnXeMvr6AmOQMfjh+HYBXujeq8CJzd2aiVTojOjXEztKMtMxsvjty3dThiDJmzJTKkpApleUvJOFvLsUdB+BJj9GlakNRICvT8M/BSouNhQZHay117C3QZes5fT2Oc6HxJKVnYmNhRqdGzgxo14C27g65fygVRSFLryNLr0Mpav5TOXKxrEfnOoZVqnZdW2GyOIRpLFiwgAULFvDTTz8BsHnzZhYsWMDKlStNHJkoSs6oGTBuWlNcWhyzj8wmNTO1wP2pmanMPjKb+PT4sgpRVGI7d+5k+PDhdO3alRYtWuT717JlS1OHWKPkFANuWc8ejRQDFmXM6JEzx48fz/Ok+X6xsbGcOHHC6Au7uroWOHUpOtowh9+YejMXL17ktddew9vbm3nz5qHRSAX7kljxZwjpmXocrLS80MXD1OFUGnaWhp/H178Fs/rINV59pDFW5vK7VV3IlMqqZ9e15QC42zanlUu3UrVxO0LD+EEN6N4d/vjDuHMstRpa1nfAxsKMw1diuJ0WyvjfuwMw/5E/cbV2L1UsD+pJz1c4cmsHN5KCCIo9QiuXh0wSh6h4ly5dMnUIohRyigFr1CpcjBiNuyloExpV0fcdGpWGjf9sZIzfmDKJUVROixcvZuHChbi4uNCuXTscHGQajan9fafeTGuZ0iTKQZktV5GYmIi5ufHTP5o3b86aNWtISUnJ8wQ7MDAwd39Rbty4wejRo3F2duabb74ptgaOyCshNTN3VMhL3TyxtahaK5eUt5e6ebLijxBiU3SsP3GDl7o1MnVIoozIlMqqJTb9FkdvGUYJ+Hu+/MA1FoKC4NLNVBq4mpOZrSfjvmK8llo1thZmmGkM42WysvVcjyn46bWpNHFsSzNHPy7Hn2L3tRWSnBGikru7UpOFUbX9biXfKnTUTI7UzFRuJd8qk/hE5fXDDz/QqVMnli9fXuC9i6hYiqLwz51pTa0kOSPKQZGfyC9evJinENXJkyfJzs7Od1x8fDzr1q2jSRPj6wD4+/uzcuVKNm7cmFuUU6fTsWXLFtq3b5/7ZDs8PJy0tLQ8bUdHR/Pyy4ab9BUrVuDs7Gz0dYXBqr+ukZyRha2FGaMe8jR1OJVObTtLhnRw44djN1hyKJgRnRpiqZXRM9WBTKmsWvZcX022koW9eS0eqtf/gduLjYXdJ+Po1dGWmBQdYfFpqAAPF2t8Gjhgb2W4+U1Kz+R8WCLXYlKKXMHJVJ70fIXLZ09xJno/t1JCqGsjCWQhKquoJMPfl9pGrtRU17Yu1lprUjJTCj3GWmtNXdu6ZRKfqLxSUlJ48sknJTFTSdxKTCcmRQeAT31JzoiyV2RyZt++fSxatAgAlUrFhg0b2LBhQ4HH2tjY8N577xl9YV9fX/z9/Zk9ezbR0dE0bNiQrVu3Eh4ezqxZs3KPmzx5MsePH88zlHf06NHcvHmT0aNHc+rUKU6dOpW7r2HDhkUuhSsgOSOLb/8KAWBkVw8craXgbUFee7QJP564SWRiBhtP3mRkV09ThyTKgEyprDpSs5LYf/N7AHo3HIm5pmRL0BrDyVpLt6a1qkxSJkeH2n2oZenG7fRQfr3+LS+2nG7qkIQQhcgZOVPHzrjk/5CWQ3h799tFHpOtZPNsq8LLDYjqoUWLFkRERJg6DHHH36GGUTPmZmqa1ZFiwKLsFZmcGThwIJ06dUJRFF588UXGjh1Lt2555/urVCqsra1p2rSp0U+cc3z++efMnz+f7du3k5CQgLe3N0uXLsXPz6/I83JG8yxfvrzAmCU5U7S1R68Tn5qJpVbNK93laWth3J2tGeLnxvoTN1n8WzBDO7pXeNFkUfZkSmXVcfDmD6RmJWKutuSJhsYXnC8JDxcb7K20VSYpk0OjNqOPxyjWXvqYQ2EbGdJsIjZaeYonRGWUm5wxcuSMk5UTk7pOYu7RuQVOb7LWWvNul3dxtHQsyzBFJTR+/Hjeeust+vTpI4V/K4Hz4YZ6My3q2qHVGL2ujhBGKzI506BBAxo0MCyvPGvWLDp06IC7e9kVQLSwsGDy5MlMnjy50GPWrFmTb5sUxCu99Mxslv1xFTCsSlTLtmQJtZrmjR5N2XgqlIiEdDadCuX5zlI4uaqTKZVVQ6Y+I3f57B7uI7AzL5+f9d9hCYTFp3E7OaNKJGXu9ZjbMDZfmUd6dgp7b3zHgCZvmTokIUQBbiXkJGeMv+ea3sMwGu6Lv74gI9swLUqlmGNupubdLu/m7hfVW6dOnfjkk08YOnQobdu2pUGDBqjVeZMCKpWKmTNnmijCmiVnGW0fqTcjyonRVWAHDhxYnnGICrL22A1uJ+sw16h59ZHGpg6n0nN3tmZQuwZsPBXK4oPBPOvnjrmZZMqrMplSWTUcDt9GXEYkapWGJz1Lt3y2MbL1CtFJxheBrkystfb0avgCP4d8w+5rK3nSczQWGitThyWEuE/4neRMfUfj358qlYoZPWcwpOUQ2n7TFgCHrOGsHPAeA9t6lUeYohIKDAxkypQpZGVlcfLkSU6ePJnvGEnOVBxJzojyVmhyZtu2bQD0798flUqV+31xBgwYUAZhifKQqsvi69+uADC0oxv1HOQm3hhv9mzKljNhhMWnsfl0KCM6yao8VZ1Mqazc9Iqen0K+AaBrvWdwtXIzcUSV15Mer7Dn+iqSMmM5eHM9/p4vmTokIcQ9MrKycxPApbnvcrC8+yHQJvtRktNlxHNN8sknn6DValm8eDEdOnTA3t7e1CHVWFGJ6bnFvaUYsCgvhSZnpkyZgkqlom/fvpibm+d+rxQx7lulUklyphJb/dd1bifrsDBT81bPZqYOp8rwcLFhQNsGbD4dylcHrzDEz03mmVZxMqWycjsVtYeIlGAA+jUaVyZt2jvrmfhFdO7XpWrDohYT26/I/boycLKswyMNnmX/ze/55dpSejd8HjO1FHkXorKITLg7Mq++44MXNb+VkPbAbYiq49KlS7z55pv07NnT1KHUeOfDDaNmtBoVXnWlGLAoH4UmZ7777jsAzM3N83wvqqbE9EyWHDJ82BnZxcPoonTC4M2eTdl6JpTQuDR+PHlTas8IUU4URWHn1SUAtHXtSUO7ogs0G8vCUqH9ww/2ocZCY0X72r3LJJ6y1K/RWA7c/IGY9HAOh2/jUbehpg5JCHFH+D3JlLoOZZGcqZrTMEXpuLi4yDLalcT5MEMxYK86drJAiCg3hSZnOnXqVOT3ompZ+WcICWmZWJtrGPdYk+JPEHk0qmXD4PZubDwVyoJ9lxnUzg0rc+mYhShrF2KPEpxwBoCnG71m4miqhtrWDXmo3jMcjtjGzpAlPNxgMGqV9E9CmFpcHKxeqSb+cFMcXLJJTdJg4fRgbeas/CRqhkGDBrFjxw5eeOEFzMyMLhUqysHfd+rNtJZ6M6Icybu8BohL0bHijxAAXurmKSs0ldL4x73YHhhOVFIGKw+H8EaPpqYOSYhqZ2vwAgCaOfrh7dSxzNrNzoLEOEPCwt4pu3Rt6LNI1MUY2jB3QaOuPH9Cn278OocjthGREsyJyN10rvuUqUMSosZSFPjgA5g9G/Q4oEt3JNlcT/36MGkSTJ8OKlXp2o6QaU01ip+fH7/99htDhw7lueeew83NDY0mf/K9Y8ey+3tZEySmZ7LlVCipmcbfD5y+HgdAK0nOiHJU6J3liRMnStWgdA6Vz5Lfg0nKyMLO0oxXH5ZRM6XVwNGKgC4eLP8zhCWHgnm+c0McraW2gxBl5ULsUYJijwAwqOl4VKX99FKA2CgN4wc1AGD+ljAoxczE2PQIxv/e3dDGI3/iau1eZvE9KHc7b9rXfpzTUXvZcXUxner0LdOfnxDCeB98AHPnQno6gKFGXbZOQzaG7QAzZpSu7chEmdZUk7z00t0i7++//36+fl1RFFQqFRcuXKjo0Kq0L3ZfYs3R66U6V0bOiPJUaHJm5MiRJbqxk86hcroZm8q3h68BMPaRxjhYy7zVB/FGj6ZsOHGTpPQsvv4tmKl9W5g6JCGqjS1X5gPQzLE9rV0eNm0wVVD/xm9wOmov1xLPczp6H361Hzd1SELUOHFxhhEz6YXMPkpNNeyfOBEcHUvefnJGFknpmdhZyv1cTTBr1ixTh1DtZGXr+eXvCMBQtsDByvj3Uhs3B3zdJDkjyk+hyRnpDKqHL369hC5LT117S17p3tjU4VR5TjbmjH20MbP3/Muqv64xqpunLEkuRBm4EHvs7qiZJmU7aqamaOrYjja1HuXc7UNsujyXdq69UKtkZTkhKtKmTVDArJM8NBrYuBHGjCndNSIT0yU5U0MMHDjQ1CFUO8evxRKTogNgzSudcHOyNnFEQtxVaHJGOoOq7+zNeHYEhgMwqY+3FLAtIy93b8TqI9eJTspg9q//Mmeor6lDEqLK23pn1ExTh3a0rvWIaYOpwoY0m8i524e4kRTEichdUntGiAp265ZhdExRUlMNx5WUSgUohhWbmta2K1V8QtR0u88b3ny+bg6SmBGVjjxSq6YUReHjn4IAaFXfnkHtGpg4ourD2tyMCb29ANh8OpQzN+JMHJEQVdvF2OP8E/sXAIObTpBRMw+giYMv7e9MZ9p8ZR56pXTFj4UQpVO3LlgX83nP2tpwXEm52Bjq3ElRYCFKR69XcpMz/j71TByNEPkVmpwJDw8nPDw83/fF/ROVw+7ztzh5p6r4e0+1QK2WDztlaVhHd1rVtwfgw51B6PWKiSMSompSFIUfL38OQBMZNVMmhjR9F4Cw5Mscidhh4miEqFmGDIHsYnKi2dnw7LMlb9vVzhKQ5bSFKK3TN+KISjIU1X7SpxQZUiHKWaHTmnr27Ilarebs2bOYm5vTs2dPo55mSkFg00vVZfHxz4b/D71b1OahJrVMHFH1o1Gr+N/TrRj6zRECb8az5UwYQ/zcTB2WEFXOmej9XIozrA44zOv/ZNRMGfCwb0nnuk9x7NbPbLmygC51n65Uy34LUZ05ORmWy547t+DpTdbW8O67pSsG7GprzmUgIkGSM0KUxq47o2Za1LPHs5aNiaMRIr9C79beeOMNVCoVZmZmeb4Xld/CA1cIi0/D3EzN+0+1NHU41VanRs4841ufHYHhfLb7In1a1ZECfUKUgF7JZv2/nwLQptajtHLpZuKIqo9BTcdz/NYv3EoN4VDYj/R0f87UIQlRY0yfbvjvp5/pyco0DFK3sgJFMSRmcvaXVG07SyBTRs4IUQqKcndKk4yaEZVVocmZt956q8jvReV0OTKJZb9fBeC1R5tIVricTe3bnL1BkUQnZTB/32Wm9ZNkmBDG+iNsM2HJl1GhYrjXlHK9loNLNv9beiv361K1YeHK/zpvzv26MnOz9aJ7/cH8Eb6JjZfn0LXeM1iZ2Zo6LCFqBJUKZsyAW87BLH+3GQDTpsFrr5VuxEyOWnYWQKaMnBGiFM6FJhAWb6jX1Le1JGdE5SQFgasRRVGYtv08WXoFDxdrXnusialDqvbqOVjxZs+mAHx7OITAm/GmDUiIKkKXnc6mK3MBeKj+ADzsyzexaW4BXm10eLXRYW5RyjY0lng5dcDLqQPmGsuyDbAcDPX6P8zVliTqbrPz6temDkeIGicmMyX36xEjHiwxA1DH3tDv3IxNRVGk1p0QJfHL+QgAmta2ldXORKVV4uTMuXPnmDNnDuPHj2f8+PHMmTOHwMDA8ohNlNDm02EcvRoLwIfPtMJSK0tnV4RXH2lM87p26BWYvPkcmdl6U4ckRKW369oKYtMjMFOZ82zTiaYOp1pytqzLU41eBeCXa8uISY8wcURC1CzhcWW7qlJDZysAEtOziE3RlWnbQlRn905p6itTmkQlZnRyJjs7m//+978MGzaMZcuWsXv3bnbv3s2yZcsYPnw4U6dOJbu48vSi3NxKSOejnf8AhqF6PbxrmziimkOrUfPp4DaoVHDxVhJL70wrE0IULCo1nO1XFwLwuEcArtbu5X7NrEy4cUXLjStasjJL2YZex42ki9xIukiWvmp8MOrXaByOFq5k6jPY+O8Xpg5HiBojW6+U+fQjN6e7a3Rfi0kp4kghxL2CIhK5HmOo0C1LaIvKzOjkzNdff82WLVvo1asX69ev5+TJk5w8eZJ169bRs2dPtm3bxtdfy7BpU1AUhf9u/Zuk9CycrLVM7+9j6pBqnLbujrz0UCMAFuy/zJWoZBNHJETl9c3Z6WRkp+Fg7sqgpuMr5Jpx0RqmvlCPqS/UIy66dKMK49IjmXq4D1MP9yEuPbKMIywflmY2DLkzMumP8M0EJ8hIVyEqQnh8GtllPPXIxsIMVzvDvMyr0ZKcEcJYOaNmPF2saVFPpjSJysvo5MzmzZvp1q0bixYtom3bttja2mJra0u7du346quv6NKlC5s3by7PWEUhNp8O48DFKACm9/ehlm0pCyqIBzLxCS8aOFqhy9IzYcNZdFkyvUmI+/1x/Q/239gCwDCvyVibyU1SeXvUbSgN7VoA8O0/76FXZJSrEOXtRmwB62iXgUZ3FnoIuS3JGSGM9cvfhmm9/j71ZPVhUakZnZyJiYmhZ8+ehe7v3bs3MTExZRKUMN7N2NTc6UxP+tSlXxsZqmcqNhZmzBnqi0oFf4clMG/fv6YOSYhKJUufxVu7DCv/NXFox8MNBps4oppBrdLwUsuPAQhJ/Jt9N9aYOCIhqr/yGkHb+E5yRqY1CWGcy5FJBN8ZaSarNInKzujkjKenJ9HR0YXuj4qKwtPTsyxiEkbKzNbz1rozJKVnUcvWnBkDfCQbbGJdGrsw7lHDKllLDgVz9KokLIXIseDoAgIjA1Gh4sWWH6FWyYKBFcXLqQOPuQ0H4MfLs6vMtCwhqqrLUUnl0m7OyBmZ1iSEcX752zClqYGjFa0bOJg4GiGKZvSd8dixY/nhhx+4ePFivn1BQUGsW7eOcePGlWlwomizf73E2ZvxqFQwb1hbmc5USUzo7YVPA3sUBd7dcJaY5AxThySEyQXHBjPt4DQA+jcdRRMHXxNHVPMM95qCndaZtKwkvr84w9ThCFGtXY4sn5EznveMnNHrZTltIYqz684S2k/61JWH2KLSMytsx6JFi/Jtc3NzY/DgwXTr1o3GjRsDEBwczF9//YW3tzchISHlF6nI4+DFKL65syrQa4824eFmriaOSOQwN1OzYHg7+n35J+EJ6by9/gyrX+qEmUZGCYiaSVEUXv3pVdKy0nCzd2OM7/vEy0PfCmdn7sQI76ksPf9/HL21k66Rz9ChzhOmDkuIaik4OhkoXfHxojRxtQUgPVNPWHwa7s7WxZwhRM0VcjuFi7cMo9ielClNogooUXImx++//87vv/+eZ1tQUBAXLlzgjTfeKLvoRIGCo5N5e/0ZAPw8nHj3cS8TRyTu18TVls+HtOGtdWc4fCWGL/ZcYuqTLUwdlhAmsfLMSg6EHABgyVNLsFHsiCfNxFHVTI80eJa/IrZzPuZPVvwzFW+nDkADU4clRLUSm6LjdrIOsCrztj1drLEwU5ORpScoIlGSM0IUIWfUTB17C9q5O5k4GiGKV2hyZv/+/RUZhzBSQmomo1efJCk9i9p2Fnz1XHsZkVFJPe1bn3Oh8Sz7I4RvDl3Fp74DT/vWN3VYQlSoq3FXmfDrBABG+IzgKa+nOHSp8PplonypVCrG+HzOlMN9SNTdZuU/7/GZ67emDkuIaqW8igEDmGnUeNe141xoAhciEunTSkYDCFGYnCW0/VvVRa2WKU2i8is0OdOggTxJq2x0WXreXHeakNspmJupWRrQgboOlqYOSxRhsn9zzoclcuRqDBM3BlLH3pJOjZxNHZaooY4Ex1ToEu9Z+kze3j+UJF0SLpZ1GNbsAy5GJFbY9e/lVDub2T+G535dqjYs6zL74YO5X1dVtawaMLL5/1h6fhLHI3/hwI2tPNZ8rKnDEqLaCApPAKCuvSVh5dB+i7r2uckZIUTBbsamci7U8F7095HVbEXVUGhyRlQuer3CpI2B/HH5NgBfDGlDW3dH0wYlimWmUbP4+fYMXvIXV6NTGL36BJtfe4hmdexMHZqogXRZhhoFFWXT5TkExZwC4FWfuaSkWZOVbZoClmZmUK9h1oO1odZSz6ZxGUVkWo80GMLJyN2cjt7HnBOTCOjQi6bOTU0dlhDVwt9hhqRJ83p2nCqH9pvXM9xD5NTSEELk9+s/hlEzLjbm8mBUVBklSs5kZWWxb98+AgMDSUxMRK/P+wRWpVIxc+bMMg1QGIpp/m/HP+wINDz1nfi4F/3bysimqsLJxpzVL3Vi0Nd/EZ2UwYsrj7NhbFeZJy6qtX9i/mJbsKF22VOer+JTq7uJIxL3UqlUjPb5jP/+9STxGVE8u/FZ/nr5L6y0ZV8jQ4ia5u+weAC865bPg5gW9ewBuB6TSnJGFrYW8qxViPv98reh3swTreqikSlNooowujePj48nICCAy5cvoygKKpUKRTE8Ac35WpIzZU9RFGb+coE1R68D8HK3RrzZU55uVjXuztZ8O6ojw745QnhCOsOXHmX9q10kQSOqpdtpYSw8+wYKejztfXjWa5KpQ0KXAVfOWwDQ1Kd0y9vrstO5Em8oxt7UsR3mmqo9rdTBohZv+i5i5okRnL11lvG7x/PN09+YOiwhqrRUXVZuzZnmdezL5Rot69ujUoGiwLmb8TzUtFa5XEeIqupWQjqnb8QD0FdWaRJViNGVZOfPn8/Vq1f5+OOP2bt3L4qisGLFCn755ReeeuopWrduzbFjx8oz1hpHr1eYtv08y/4wLFE+qH0D3n+qBSqVZH+rIp8GDqx6uRM25hrC4tMYvvQoN2JSTR2WEGVKl53OvDOvkpQZi63WkfFtl6BVW5g6LBJiNHzyRh0+eaMOCTGlW942ISOaT04M55MTw0nIqB5FjVs4d2Z0m6kALD29lKWnlpo4IiGqtn/CE9Hfmb3pXde2XK5hb6nFq7ZhVM7J63Hlcg0hqrLdd1ZpcrDS0qWxi4mjEcJ4RidnDh06xIABAxg8eDC2toY/Nmq1msaNGzN79mwsLS2ZM2dOuQVa0+iy9EzaGMj3R28AMLSDG18M8ZVK41VcR09nVt+ToBn09V+cC403dVhClAm9omfZ+f9wLfE8KtS85fsVrtbupg5LFGN48zd5xvsZAF7/+XX2Xd1n4oiEqLqOh8QC0KiWDfZW5uV2HT9Pw7LAkpwRIr9dd1ZpeqJlHbSyqq2oQoz+bY2OjqZ169YAmJkZZkPpdLrc/b169eLAgQNlHF7NFJui44Xlx9hyxlDjf9RDnnw6qI3Ml6wmOng6890rnXGw0nI7OYNh3xxlb1CkqcMS4oFt+Pcz/orYDsAI7ylSZ6aKUKvUrB20Ft86vmQr2Qz5cQhB0UGmDkuIKuno1RiAfE/rzcs4T9PBw5CcOXM9jmy9aQqtC1EZRSdlcPyaIUn6pExpElWM0ckZR0dH0tIMq3zY2NhgZmZGRERE7n6tVktioizp96CCwhMZ8NXh3E5l4uNe/O/pljJipprx83Bi82sP4e5sRVpmNq+uOcm8vf/KDZaosnZf+5afQpYA0NP9efp6vmriiERJ2JrbsnPETurZ1iMhIwH/7/25Fn/N1GEJUaXosvScvGYYydKlcd7VYezLuPxMR09D+0kZWfxzZ+luIQTsCbqFooCdhRndpB6TqGKMTs54enpy5coVw0lqNS1btmTr1q3odDrS0tLYtm0b7u4yfL20FEXh28MhDPjqMDdiU7HUGpZgfqtXM6kxU001rW3L1te70a6hI4oCC/ZfZuSKY0QlpZs6NCFK5LfQDXx/8SMAOtTuw0stZ0i/VQW5O7izc8RObM1tuZl4k17f9SIsMczUYQlRZZy+EUdaZjYAXe8bORNXxrOP3J2taVTLBoADF6PKtnEhqrDdd6Y09WpRGwuz0tWYE8JUjE7OdOvWjV9//TV3KtOoUaMIDAykU6dOPPTQQ5w/f54XX3yx3AKtzm7GpjLq2xN8tDMIXbaeRrVs2DTuIfq2rmfq0EQ5q2VrwYZXu/JSN08A/gqO4fG5v7PpVGjuamhCVGYHbq5j2fn/oKDg7dSRN3y/RK2Sm6Gqyq++Hz8/9zNWZlZcjbsqCRohSuDXfwwfCn0a2FPbPu9qbtnZZX+9ns1rA5KcESJHXIqOv4INUwv9feRzlKh6jE7OjBs3jsOHD2N+Z9Js3759+fLLL+nevTsPP/wwc+bM4dlnny23QKsjXZaer38L5vF5hzj0r2HljyF+bvz0Vnd8GjiYODpRUczN1Pzv6VZ8/Xx7HKy0JKRlMmljIAErj3M5MsnU4QlRqN3XvmXFP1MA8HbqxP/5raryy0sLeMTjEXaM2IGFxoJLMZfotrIbl25fMnVYQlRqiqKw5x9D/bg+LSumzkWvFobkzLnQBMLi0yrkmkJUZnsvRJKtV7A21/CYt6upwxGixMyMPVClUuUmZnI88cQTPPHEE2UeVHWXrVfYeiaM+fv+JTTO8Me0rr0lHz7TUrK8NdiTrevh5+nERzuC+PnvCP64fJs+839nWMeGTOjdLN9TOCFMRa9ks/biJ+y+vgKA5k6d+T+/b7E0szFxZKKs9G7cmx0jdjBowyCuJ1yn+7fd+fm5n+nUoJOpQxOiUjp6NTY3QeLvUzHJmY6eztSyteB2cgabTobyTu9mFXJdISqrXX8b6qH28K6NpVZG8Yqqp9Rri6Wnp5OeLrUxSiJNl83aY9d5Yt4hJm0MJDQuDY1axUvdPNk38VFJzAhq21ny1fPtWRbQAU8Xa/QKrDt+g+6fH2TK5nNciUo2dYiihkvNTGT+mXG5iZkOtfvwnw6rK31ixqVONkt+DWXJr6G41Cnd/AIXq/os6XmWJT3P4mJVv4wjrHyeaPIEB148gIuVC7dTb/PIt4+w6uwqU4clRKX0/bHrALRv6EizOnYVck2tRs0QPzcAfjx5k6xsfYVcV4jKKDE9kz+v3AZklSZRdRk9cgYgJiaGhQsXsm/fPmJiDPP5XFxc6N27N2+++Sa1apWsIrZOp2PBggVs376dxMREmjdvzoQJE+jatWux50ZGRjJz5kwOHz6MXq+nS5cuTJ06tdIVJVYUhX/CE9l2JoyNp0JJSMsEQKWCZ3zrM763V25BNyFyPN6yDo95u7Lu+A0W7LtMTIqO9Sdusv7ETbo3rcVgvwb4t6qHlbk8FRAVJyThb748+zpRaTcA8Pd4heebv1clasyoNWDn8GAfXNQqDXbmTmUUUdXQqUEn/nz5T55e9zRXYq/w0vaXOBF2gjl95mBpJqP5KtKD3DOJ8nUlKjn3if0LXTwq9NrDO7rzze/BhMWnseVMGEM7VK77YFG1Xb16lfXr13Pu3DmCgoLIyMhg//79uLm5mTq0fPZfiCQzW8HCTE0P79qmDkeIUjF65MzNmzcZMGAA69evx87Ojl69etGrVy/s7OxYv349AwcO5ObNmyW6+JQpU1i9ejXPPPMM7733Hmq1mjFjxnDmzJkiz0tJSSEgIIBTp04xbtw43n77bYKCgggICCAhwfTLCWZl6zl5LZY5ey7Ra84h+i38k+V/hpCQlom5mZpn/dzY9c7DLBjersYlZu7937NuXelWL0hIv9vIuvPriEsr4yUQKgmtRk1AV0/+nNyTGf1b4eFiDcCfV24zYUMgHT/Zx5s/nGbrmVBiU3QmjlZUZ9n6LH4KWcKHRwcRlXYDrdqCV1p9ysgWH1SJxIx4MM1rNefEmBP08+oHwOKTi2n/TXtOhp80cWQ1S2nvmUT5UhSFj38OQq+Ah4s1T/veHVVXEfc8nrVsGNi2AQBz9/yb+xBQiLJw9uxZ1qxZQ3JyMk2aNDF1OEXa9behIPejXq7YWJRo/IEQlYbRyZnPPvuM+Ph4Fi1axK5du1i0aFHu1wsXLiQ+Pp7PPvvM6AufO3eOn3/+mUmTJvGf//yHYcOGsXr1aurVq8fs2bOLPPeHH37g+vXrLF26lNGjRzNq1ChWrFhBZGQkq1atMjqGspKQlsnhK7dZ/NsVxnx3knbT9zJkyREWHrjC1dspADRxtWHSE178NaUnXzzrS/O69hUepykpCkybBp073902YwbUr2/YbszCRIqiMO3ANDovv9vIjEMzqD+3PtMOTKu2qxtZmWsY2dWTAxMfY3lAB570qYtWoyI5I4ufzkUwYUMgHT7eS7+Ff/C/7efZfjaMm7Gp6PXV8+chKta1xPN8cLQ/6y7NIkvRUc+6MR912UZP9xGmDq1E0tNUHD9gxfEDVqSnlW6Z7/SsVI7f+oXjt34hPSu1jCOs3BwtHdk+fDszeszATG3GhdsX6LK8C1P2TSEpQwqXl7cHuWcS5WvZH1f57ZJhUYfJ/s3RatQVfs8z4XEvLLVqbiWm859NgTK9SZSZnj17cuLECX766Sf69+9v6nAKlZKRlbu4ikxpElWZ0WnFI0eO8Pzzz9O7d+98+x5//HFGjBjB5s2bjb7w7t270Wq1eVZ4srCwYMiQIcybN4+oqChq1y54SNqvv/5K27ZtadmyZe62Jk2a0LVrV3bt2sU777xjdBwldfZmPIE34wm5nULI7RSu3k7mZmzBFfK96tjSw7s2z7StT8t69qhUpftAUB188AHMnQsZGXe3pd35sc2da/jvjBnFtHHwA+YenUtG9t1G0rIMjcw9amhkRs9iGqnCNGoVvVvWoXfLOsSl6Nh1/hYHLkby55XbpGfqOR+WyPmwRFYfMcx7tzbX0Ky2Lc3q2NHE1ZaGztb0aO6Ktbk8TRDFi0kLZ9OVufwRtgkFBRUqejccyTCvyViZ2Zo6vBJLilOz4L+GlRvmbynd0tBJuhgWnH3N0MYjf2JpZl1m8VUFapWa9x95nyebPknAtgCCooP47PBnrA5czae9PuWFNi+gUctIqvLwIPdMonykZ2az8MBlvjoYDMCAtvXp29pQO7Ci73ncna2Z1q8l7209z6//RDLu+1PMHNSa2nYy9VA8GEdHR1OHYJSDl6LIyNKj1ajo1aKOqcMRotRKtFqTh0fh82g9PT1LlHy4cOECjRo1wsYm77SeNm3aoCgKFy5cKPBGQ6/Xc+nSJYYNG5ZvX+vWrTl8+DBpaWlYWVkZHYux/rgczcgVxwvcp1JBU1db2rg50rmxM480c6Wug/xRBMMw3tmzobD60amphv0TJ0JhfwPi0uKYfWQ26VkFN5KamcrsI7OZ+NBEHC0LaaQacbIx57nODXmuc0PSM7M5FhLLqWuxnLoRx5kb8aTqsknVZRMYmkBg6N0h0Y95u7LqJVltRRQuOvUmu6+vZP/NtWTqDR8K6ts0ZbTPp3g7dTRxdKIy8Kvvx6lXT/Hpn5/y+eHPuZV8i1HbRzHzz5n8t/t/ea71c2g1WlOHWa2U9p7pQWVkZXM72TBtNmekRkGjPnK2KSgFbLv3OCXPtrxt5W///uMKbD/P8cbHWPB1lAK23d2SmJZFWHwa50Lj2X8hipg7U4q7N63Fp4PbAKa753muU0NC49L4+rdg9l2I4vfPDtKreW06eDrj7mSFi605FmYaLLUatBrD/bqKO/+95/Y952uVKmdv1VXH3hKNuqq/ipopPlVHqs744v07zoYDhveivaX8/RFVl9HJmY4dO3Ls2DFGjCh4KPvx48fp1Mn4D33R0dHUqZM/s+nqaniyGRUVVeB58fHx6HS63OPuP1dRFKKjo2nYsKHRsRjL3ckazzt1PxrVsqFRLVsaudrQrLYtPg0csJX5jQXatAk0xTxM1Whg40YYM6aQNoI2oSmmtoVGpWHjPxsZ41dII9WUpVbDo16uPOpleE9kZeu5FpPCv5HJ/BuZxOXIZEJupxCVlEH7hjWrmGlhakIx8pLQK3ouxB7hwM11HLv1MwqGIfGOFq4MajKBx9yGoVFL/ybusjSz5MPHPuSVdq8wed9k1p1fx78x/zJq+yimHZzGK+1e4eV2L+PuUHXfF5VJae+ZHkRyRhY9Zv9GdFJG8QfXUOYaNa883IgJvb0wNzNUCjDVPY9KpeI/fbxpVtuW6T8FEZ+aya7zt9h1/laJX1d10byuHb+8/TBqSdBUKdvOhPHuj2cpzez8J1vLyreiajP6bvu///0vAQEBfPrpp4wZMwYXFxfAsILT0qVLOXfuHN99953RF05PT0erzZ/ZtLCwACAjo+CbgZzt5ubmhZ5bXkt8e9ay4bf/61EubVdnt24ZnhQVJTXVcFyhbSTfIjWz6EZSM1O5lVxzb0JymGnUNK1tR9PadrlDrEVeU6ZMYc+ePQQEBODh4cHWrVsZM2YMa9asoV27doWel1OMPCUlhXHjxmFmZsaqVasICAhg27ZtODg4VOCreDB6JZurCec4GfkrhyO2EZsekbvPyaIufTxe4vGGATVu6o4oGXcHd34Y/AP/ffi/zPpzFuvPr+dm4k0+PPQh03+fTu/GvRnZZiTPt36+Rk/tfVClvWd6EIqiSO2y+5hr1NR1sKSxqw0PNXGhf9sG1LHPO0ralPc8KpWKQe3d8Pepy0+BEfx+OZqLt5IIi0sjLdP4UQjVRZZeQX6D79Lr9WRmGlcwOqdvMYXsUv5/c7WzoE9LqTcjqrZCkzO9evXKty09PZ3Vq1ezevVq7O0NBW0TExMBw5zEUaNGsW/fPqMubGlpWWAHkXODUVinkLNdp8u/Ok3OuZaWMp2oMqlbF6ytISWl8GOsrQ3HFdqGbV2stdakZBbeiLXWmrq20imLouUU1pw6dSqjRo0CYMCAAfTr14/Zs2ezdu3aQs/NKUa+ZcuW3JpXDz/8ME8//TSrVq0q13pXD0qv6AlJuMhfoUcIij3KuehDJGXG5jmmmWN7ejccSZe6/TBT50+AC1EYn9o+rB20lumPTWfZ6WV8e/ZbolKi2BO8hz3Be9CqtQzzyT8dWRintPdMD8LOUsvhKT2JSryb+Ckov3bvNBggz1SY3H33bL27De4/ocBpNrnnGdc+qvv33Xt88W0U9Rq1anWxozAqwz2PtbkZQzu6M7SjYeSaoijosvWkZ+rJyMzOk7RQFCXfNDBFyTuFrKqq72gl05ruceLECQICAow69siRIzg7O5dzRAUb7OfGI16upOqySnReHXtLLLVS90xUbYUmZ+rXr1/YrjLh6upa4DDc6GhDpe3C5k47Ojpibm6ee9z956pUqgKnPAnTGTIE3n676GOys+GeOof522g5hLd3F91ItpLNs62KaEQIqm4xcmNl67OJTInk4u2LXLx9kQvRFwi6HcTJ8JMkZiTmO76+TRM61+1H9/qDqGvjWfEBi2qliXMTPu39KTN6zOCnf39i/T/ruZFwg3b1Ch+RJopX2numB2Wp1dDQRUbPlURlvOdRqVRYmGmwMNOAldTjqKkaN27MrFmzjDrW1ta0hf9d7SwA043eEcJUCk3OrFmzplwv3Lx5c9asWUNKSkqeAneBgYG5+wuiVqvx8vLi/Pnz+fadO3cODw+PcikGLErPyQkmTTKsUFDQUF9ra3j33cIL4wE4WTkxqesk5h6dW+BQX2utNe92ebdGFAMWD6YqFiPXK3rORJwhJi2G+PR4EtITDP/NSCAuLY6I5AjCksIITwonIimCbKXw4et2WmeaObanda1HaOvag9rWZV+fSwitRsvAFgMZ2GKgqUOpFkp7zyQqntzziMrK1dWVQYMGmToMIUQRTFbh0d/fn5UrV7Jx48bcqQU6nY4tW7bQvn373MJ34eHhpKWl0aRJk9xz+/Tpw9y5cwkKCsp9gn316lWOHj3KmMKqqxkhOTkZRVHo0KFD6V+YKFSjRneXlVSUu8OELSxg1y7Dv2LbyGpERpahkZzlfQEszCzYtWUXuzCiEVGgpKSkGlETojIWIy+u70nNTEWXnX8q5/0ssMATz9zv1So1GpUGtdrwXxUaVCo12cRylm2cZVuJY31QarhTbrhiKXpo0sTw+73yI4XV6pLHoSh6mmQa/hat3PYmKpX6gWIy1c+iIGYmHPpfU/qeB2HsPVNJyD1P+ZJ7nspP+h7TkL5H1GTF9TslTs7cuHGD/fv3c/PmTQDc3d3p1atXiT+Q+Pr64u/vz+zZs3M/0GzdupXw8PA8Q+4mT57M8ePHuXTpUu625557jo0bN/Lqq6/y0ksvodFoWLVqFa6urrk3LaWhVqvR6yvLrXL1Y2lpuCnJzAS9HtRq0GoLnt9daBtmllhoLMjUZ6JX9KhVarQaLVV/wUfTU6lUqNUP9mGzKqiMxciL63ustdZYa6vP1AKT/Jap731SrSplHBocNY7FHlUS1f8dV7ya0vc8CGPvmUpC7nnKl9zzVH7S9xQvKSkpdzbF2bNnAVi7di12dnbUr1+fAQMGlLhN6XtETVZcv1Oi5Mz8+fNZtmwZ2dl5h8x/8cUXjB07tsT1Fj7//HPmz5/P9u3bSUhIwNvbm6VLl+Ln51fkeba2tqxZs4aZM2eyePFi9Ho9nTt35r333sPJqfRLBQcFBZX6XCFE1VAZi5FL3yOEKE5p75kKI/2OEKI4CQkJLFiwIM+2lStXAtCpU6dSJWek7xGicEYnZzZt2sSSJUto164do0ePplmzZgBcvnyZFStWsGTJEtzd3Us0l9HCwoLJkyczefLkQo8prPZN3bp1+fLLL42+lhBCgBQjF0JUTcbcMwkhRFlyc3PLM3tBCFG+jB7L98MPP+Dr68uaNWtypzE1bNiQXr168d1339GmTRu+//778oxVCCEeWPPmzQkJCSHlvnVOpRi5EEIIIYQQwlSMTs4EBwfTt29fzMzyD7YxMzOjb9++BAcHl2lwQghR1vz9/cnMzGTjxo252worRn5/n9anTx/Onj2bZ0huTjFyf3//inkBQgghhBBCiGrH6GlNWq2W1ILWBLwjJSWlwCKbQghRmVTGYuRCCCGEEEKIms3okTOtW7dmw4YN3L59O9++mJgYfvzxR3x9fcs0OCGEKA+ff/45I0eOZPv27Xz88cdkZWWVqBh5+/btWbx4MQsWLKB58+Z8//33D1SMXAghhBBCCFGzqRRFUYw58MSJE4waNQobGxsGDx5M06ZNAbhy5QpbtmwhJSWFVatWyZr1QgghhBBCCCGEECVgdHIG4MCBA8yYMYOIiIg82+vXr8+0adPo0aNHmQcohBBCCCGEEEIIUZ2VKDkDoNfrOX/+PKGhoQC4u7vTqlUr1GqjZ0gJIYQQQgghhBBCiDuMSs6kpKTQv39/XnjhBSl6KYQQQgghhBBCCFGGjBruYmNjQ3x8PDY2NuUdjxBCCCGEEEIIIUSNYvRcJF9fX/7+++/yjEUIIYQQQgghhBCixjE6OTNp0iR2797N5s2bKWGZGiGEEEIIIYQQQghRCKMLAgcEBBAeHk5YWBgODg40bNgQS0vLvI2pVKxevbpcAq1qjhw5wo4dOzh9+jS3bt3C1dWVrl278vbbb+Pq6lrs+VOmTGHr1q35tvv6+vLjjz+WR8jlRqfTsWDBArZv305iYiLNmzdnwoQJdO3atdhzIyMjmTlzJocPH0av19OlSxemTp2Ku7t7BUReMc6dO8fWrVs5duwY4eHhODo60q5dO8aPH4+Hh0eR5y5cuJBFixbl216rVi0OHz5cXiGLSkz6nruk7yma9D2irEi/c5f0O0WTfkcU5kHeO6Lyi4qK4rvvviMwMJDz58+TmprKd999R+fOnfMdu3//fhYtWsSVK1dwcXFhyJAhjBs3DjMzMxNEXrGMfoU5qzPVq1cPgNu3b5dPRNXEF198QUJCAv7+/nh6enLz5k2+//57Dh48yPbt23FxcSm2DSsrKz766KM825ydncsr5HIzZcoU9uzZQ0BAAB4eHmzdupUxY8awZs0a2rVrV+h5KSkpBAQEkJKSkvuGXLVqFQEBAWzbtg0HB4cKfBXlZ/ny5Zw+fRp/f3+8vb2Jjo5m7dq1DBgwgE2bNtGkSZNi25g+fXqeZOn9iVNRc0jfc5f0PUWTvkeUFel37pJ+p2jS74jClPa9I6qGkJAQli1bhoeHB97e3pw5c6bA4w4dOsQbb7xBly5dmDZtGv/++y9fffUVcXFxTJs2rYKjNgFFlIvjx48r2dnZ+bZ5eXkpX375ZbHnT548WfHz8yuv8CpMYGCg4uXlpXz77be529LT05XevXsrzz33XJHnLl26VPH29lb++eef3G1XrlxRWrRoocyfP7+8Qq5wp06dUjIyMvJsCwkJUXx8fJTJkycXee6XX36peHl5KQkJCeUZoqhCpO8xkL6neNL3iLIi/Y6B9DvFk35HFORB3juiakhKSlJiY2MVRVGUvXv3Kl5eXsrRo0fzHde3b19l4MCBSlZWVu62uXPnKs2bN1dCQkIqKlyTMarmTGxsLIGBgdy4caO8c0XVRseOHVGr1fm2OTo6EhwcbHQ72dnZJCcnl3V4FWb37t1otVqeffbZ3G0WFhYMGTKEU6dOERUVVei5v/76K23btqVly5a525o0aULXrl3ZtWtXucZdkdq3b4+5uXmebZ6enjRr1szo3xVFUUhOTpZ6UEL6njuk7yme9D2irEi/YyD9TvGk3xEFeZD3jqgabG1tcXJyKvKYK1eucOXKFYYNG4ZGo8nd/txzz6HX69mzZ095h2lyRSZn9Ho9H3zwAd27d2f48OH06dOHESNGEBsbW1HxVSspKSmkpKQU+4t57/F+fn74+fnRuXNnZs2aRUZGRjlHWbYuXLhAo0aN8i3D3qZNGxRF4cKFCwWep9fruXTpEj4+Pvn2tW7dmmvXrpGWllYuMVcGiqJw+/Zto39XHnvssdzflalTpxIfH1++AYoqRfqeu6TvKZr0PaKsSL9zl/Q7RZN+R5T2vSOql6CgIIB8fWGdOnWoW7du7v7qrMiaM99//z0//vgjtWvXpm3btly/fp0zZ87wwQcfFFiQSxRt9erVZGZm8uSTTxZ7rKurK6NHj6ZFixbo9XoOHjzIqlWrCA4OZvny5RUQbdmIjo6mTp06+bbnFAgsLBMeHx+PTqcrsJCgq6sriqIQHR1Nw4YNyzbgSmLHjh1ERkYyYcKEIo+zt7dn5MiR+Pr6otVqOXr0KBs2bCAoKIiNGzfmezolaibpe+6Svqdo0veIsiL9zl3S7xRN+h1R2veOqF6io6MBCu0La8LvQZHJmW3bttGkSRM2bNiAra0tAO+//z5bt24lMTERe3v7CgnS1PR6PZmZmUYda2FhUeD2EydO8NVXX9GvXz86depUbDsTJ07M832/fv2oU6cOK1as4PDhw3Tr1s2oeEwtPT0drVabb3vOz6mwp2I52wv6Q5tzbnp6elmFWakEBwczffp0/Pz86N+/f5HHvvjii3m+9/f3p1mzZkyfPp1t27YxdOjQ8gxVlDPpe0pP+p6Sk75HgPQ7D0L6nZKTfkdA6d87onrJ6ecK6wur8wjCHEVOawoJCWHgwIG5iRmAF154gezsbK5du1besVUaJ06coE2bNkb9K2jKV3BwMG+++Sbe3t7MmDGj1HG8/PLLgGHJyqrC0tKywJu8nE62sBu7nO06na7Qc6tjdf7o6GjGjh2Lg4MDCxYsyDeH3xgjRozAysqqSv2eiIJJ31N60veUjPQ9Iof0O6Un/U7JSL8jcpT2vSOql5x+rrC+sDr2g/crcuRMWloatWvXzrMt5/vU1NTyi6qSady4MbNmzTLq2HsTWQARERG88sor2NnZsXTpUqytrUsdR61atdBqtSQkJJS6jYpW2BC0nGFr9/9+5XB0dMTc3Dz3uPvPValUBQ55q8qSkpIYM2YMSUlJrFu3rtSvT61WU6dOnSr1eyIKJn1P6UnfYzzpe8S9pN8pPel3jCf9jrhXad87onrJ6Qeio6Pz/T+Pjo6uEUuqF5mcAVCpVAV+X5MqpLu6ujJo0KASnxcXF8fLL7+MTqdj9erV1KpV64HiuHXrFpmZmTg7Oz9QOxWpefPmrFmzhpSUlDxFvgIDA3P3F0StVuPl5cX58+fz7Tt37hweHh5YWVmVT9AmkJGRwbhx47h27RqrVq2icePGpW4rMzOTiIiIAgsLiqpF+p7Sk77HONL3iPtJv1N60u8YR/odcb/SvndE9dKiRQsAzp8/T6tWrXK3R0ZGcuvWrdz91Vmx4wcPHTrEt99+m/tv3bp1qFQqdu/enWf7t99+y6pVqyog5KohNTWVV199lcjISJYuXYqHh0ehx964cSPPMuUZGRkFLiW5ePFiALp37172AZcTf39/MjMz2bhxY+42nU7Hli1baN++fW7xr/Dw8HxLKPbp04ezZ8/mqcx99epVjh49ir+/f8W8gAqQnZ3N+PHjOXv2LAsWLKBt27YFHlfQz6igIeUrVqwgIyODhx9+uDzCFZWc9D0G0vcUT/oeUVak3zGQfqd40u+Ighj73hHVW7NmzWjcuDEbNmwgOzs7d/u6detQq9U88cQTJoyuYqiUIobAlDRLqVKpZKmzO15//XX279/P4MGD6dy5c559tWrVylPcrmfPngAcOHAAgNDQUAYOHEi/fv1o3Lhx7soFR44coW/fvsybN6/iXkgZeOedd9i/fz8vvvgiDRs2ZOvWrZw/f57Vq1fj5+cHwMiRIzl+/DiXLl3KPS85OZmBAweSlpbGSy+9hEajYdWqVSiKwrZt24xecrGy++STT/juu+/o0aNHvlUtbGxs6N27N1Dwz8jX15e+ffvi5eWFubk5x44d49dff8XPz4/vvvsOM7NiB8eJakb6nruk7yma9D2irEi/c5f0O0WTfkcUxpj3jqjacpLuwcHB/PTTTwwePBg3Nzfs7e154YUXADh48CCvvfYaXbp0oW/fvvz777+sXbuWYcOG8eGHH5ow+opRZHLm+PHjJW7QmKr8NUHPnj0JCwsrcF+nTp1Ys2ZNnmPh7o1KYmIiM2bMIDAwkKioKPR6PZ6engwcOJCAgAA0Gk35v4AylJGRwfz589m5cycJCQl4e3vz7rvv8tBDD+UeU9AfYTAMa545cyaHDx9Gr9fTuXNn3nvvPdzd3Sv6ZZSbnNdekAYNGuT+XhT0M3r//fc5ffo0ERERZGZm0qBBA/r27cvYsWNrRNEskZ/0PXdJ31M06XtEWZF+5y7pd4om/Y4ojDHvHVG1eXt7F7j93vc+wL59+1i0aBHBwcE4OzszePBgXn/99RqRgC0yOSOEEEIIIYQQQgghylfJ16wTQgghhBBCCCGEEGVGkjNCCCGEEEIIIYQQJiTJGSGEEEIIIYQQQggTkuSMEEIIIYQQQgghhAlJckYIIYQQQgghhBDChCQ5I4QQQgghhBBCCGFCkpwRQgghhBBCCCGEMCFJzgghhBBCCCGEEOXg2LFjeHt7s2XLFlOHUipbtmzB29ubY8eOmTqUak+SM0IIIYQQQgghRAUIDQ1l4cKFXLhwwdSh5Dp27BgLFy4kMTHR1KHUaCpFURRTByGEEEIIIYQQQlQ3er2ezMxMzMzM0Gg0HDt2jICAAGbNmsWgQYNMHR4ACxcuZNGiRezfvx83N7c8+7Kzs8nKykKr1aJWy9iO8iQ/XSGEEEIIIYQQohyo1WosLCzQaDQVcr3k5OQybU+j0WBhYSGJmQogP2EhhBBCCCGEEKIc3FtzZsuWLQQEBAAwdepUvL298fb2ZuTIkbnHK4rCDz/8wKBBg/D19aVdu3aMHDmSo0eP5mk3NDQUb29vFi5cyC+//MKgQYNo06YNH3/8MQDBwcF8+OGHPPXUU7Rr1w5fX18GDRrExo0b87QzZcoUFi1aBECvXr1yY1q4cCFQeM2Z2NhYPvroIx599FF8fHx49NFH+eijj4iLi8tzXM75R44cYcWKFfTu3RsfHx/69OnD1q1by+AnXH2YmToAIYQQQgghhBCiuuvYsSPjxo1jyZIlDBs2DD8/PwBq1aqVe8z//d//8fPPP9OnTx8GDRqETqdj586dvPzyyyxcuJBevXrlaXPfvn2sWbOGESNGMHz4cGxtbQE4fvw4J0+e5LHHHsPNzY20tDR2797N+++/T2xsLGPHjgVg2LBhJCcns3fvXqZOnYqTkxMA3t7ehb6OpKQkRowYwfXr1xk8eDAtW7bkwoULrFu3jqNHj7Jx48bcOHLMmzeP9PR0hg0bhrm5OevWrWPKlCk0bNgw9+dQ00lyRgghhBBCCCGEKGfu7u489NBDLFmyhLZt29K/f/88+/fu3cvOnTuZPn06w4YNy90eEBDA0KFD+eSTT+jZsycqlSp335UrV9ixYwdNmjTJ01b//v0ZMWJEnm2jRo3ixRdfZOnSpbz88stotVratWuHt7c3e/fupXfv3vlqzhRk+fLlXLt2jQ8++IDnn38+d3uLFi2YPn06y5cvZ/z48XnO0el0bNq0CXNzcwD8/f3p1asXa9euleTMHTKtSQghhBBCCCGEMLEdO3ZgY2ND7969iY2Nzf2XmJhIz549CQsL49q1a3nOefTRR/MlZgCsra1zv87IyCAuLo74+Hi6detGcnIyV69eLXWce/fuxdnZOU8CCQyjcJydndm3b1++c5577rncxAxAnTp1aNSoUb7XU5PJyBkhhBBCCCGEEMLEgoODSUlJ4aGHHir0mJiYGBo1apT7vaenZ4HHpaSksGjRInbt2kVERES+/Q+ybHZoaCg+Pj6YmeVNJ5iZmeHp6UlQUFC+c9zd3fNtc3R0JCwsrNRxVDeSnBFCCCGEEEIIIUxMURScnZ2ZM2dOocc0a9Ysz/dWVlYFHjdx4kR+++03hg4dSseOHXF0dESj0XDo0CFWrVqFXq8v09iLI6s9FU+SM0IIIYQQQgghRAW4t17M/Tw8PLh27Rq+vr7Y2NiU+hqJiYn89ttv9O/fn+nTp+fZ99dff5UopoK4u7sTEhJCVlZWntEzWVlZXLt2rcBRMqJ4kr4SQgghhBBCCCEqQE4tmISEhHz7BgwYgF6vZ+7cuQWee/v2baOukTNKRVGUPNujoqLyLaVdXEwFyamJc39bP/74I7GxsfTu3duodkReMnJGCCGEEEIIIYSoAE2bNsXGxoYffvgBS0tL7O3tcXZ2pmvXrvj7+zNo0CC+//57/vnnH3r06IGTkxO3bt3i7NmzXL9+nf379xd7DVtbW7p168aOHTuwtLSkdevWhIWFsWHDBtzc3IiPj89zvK+vLwCzZ8/m6aefxsLCgmbNmuHl5VVg+6NHj2b37t1Mnz6doKAgWrRowYULF9i0aRONGjVi9OjRD/xzqokkOSOEEEIIIYQQQlQAS0tL5s2bx/z585k5cyY6nY5OnTrRtWtXAGbNmkXnzp358ccf+eabb8jMzMTV1ZWWLVsyceJEo6/zxRdfMGfOHA4cOMDWrVvx9PRkwoQJmJmZMXXq1DzH+vn5MWnSJNavX8+0adPIysrizTffLDQ5Y2dnx7p16/jyyy85cOAAW7ZswcXFheHDh/PWW29ha2tb+h9QDaZS7h/rJIQQQgghhBBCCCEqjNScEUIIIYQQQgghhDAhSc4IIYQQQgghhBBCmJAkZ4QQQgghhBBCCCFMSJIzQgghhBBCCCGEECYkyRkhhBBCCCGEEEIIE5LkjBBCCCGEEEIIIYQJSXJGCCGEEEIIIYQQwoQkOSOEEEIIIYQQQghhQpKcEUIIIYQQQgghhDAhSc4IIYQQQgghhBBCmND/A+6nSVinil3FAAAAAElFTkSuQmCC\n",
"text/plain": [
""
]
},
"metadata": {
"filenames": {
"image/png": "/home/runner/work/BayesianAnalysiswithPython2nd/BayesianAnalysiswithPython2nd/BayesianAnalysiswithPython2nd/_build/jupyter_execute/Append-01-MCMC_Tutorial_9_26.png"
}
},
"output_type": "display_data"
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
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gwRQrVky9npubG8uXL+f3339n/PjxWXrcGfWu/evZs2f5888/uX37Nvfv3yc+Pp5169bp7FtVHj58yOLFi7lw4QJhYWHky5ePypUrM2nSJOzt7bPq0HKkCxcucPHiRfr06UOePHkM3Zx3In2FkvQV+vUVAKdOnWLVqlU8fPiQqKgoHBwcaNKkCf3799f52c9IXxETE8PKlSs5ePAgvr6+WFhYUKpUKQYMGECzZs0AUCgU7Nmzh5MnT/LPP/8QFBSEnZ0dzs7ODB06lCpVqmi1ISQkhPnz53Pq1ClevXqFvb09TZs2ZeTIkR/8Z1gIoT8JzmQBHx8fFi5cSK1atXJUcKZDhw60adMGU1PTbNvH77//Tvny5alTp0627eN9uH79Or1798bBwYGvv/4agA0bNtCzZ0+2bNmCk5NTutu4ceMGjo6ONG/enDx58hASEsKePXvw9PRkxowZdOzYUb1uTEwM7u7uvHz5ku7du+Pk5ERYWBi7du1i+PDh/N///R89e/ZUr9+7d2/Wrl2Lt7c3Hh4eWX78+oiPj6dv3774+PjQq1cvypQpw19//cWkSZN49eoVX331VbrbuH//PiYmJnTp0oWCBQsSGxvL5cuXmTZtmvpkShXkKVOmDDNnztTZjokTJ2JnZ4eLi0uWH2daihQpws2bNzExMXmv+1W5efMmxsYffsJjQEAAO3fuZOzYseTK9WF/DU2dOpX169fTrFkz+vXrx6NHj1i/fj137txhzZo16f69AgMDCQ4OplmzZjg4OJArVy7u37/Ptm3b2L9/P7t37yZ//vzq9f/66y8GDx5M8eLF6dWrF3Z2djx48IBt27Zx+PBh9u7di4ODAwDm5ua4ubmxdOlShgwZgp2dXba+FqnJiv5179697Nu3j3LlylGmTBl8fHzSXP/06dMMHz6c4sWL07t3b/Lnz09oaCjXrl0jMjLyow/OXLx4kYULF9KpU6dsvbBbuXJltm0bpK9ISfoK/fqKbdu28eOPP1KxYkUGDhyIpaUlt27dYu3aterjThkMy0hfER4ejpeXF0+fPqVLly54eXkRExPDo0ePePHihXq9+Ph4vvvuO8qXL0/r1q0pWrQowcHBbNmyhR49ejBjxgw6dOigXv/Vq1d0796doKAgevToQbly5Xjw4AFbtmzh8uXLbN682aA35oQQ75HiIxEREZGpx7LCzp07FY6Ojorz589n6370lZ3Hm5iYqIiOjlYoFArF06dPFU5OTorVq1dn2/7ely5duihcXV0VAQEB6mUBAQEKV1dXRd++fTO93cjISMXnn3+uaNWqlcbyvXv3KhwdHRVr1qzRWB4eHq6oWrWqon379lrb8vDwULRt2zbTbXlXGzZsUDg6OirWrVunsXzEiBGKihUrKvz8/DK97Z9++knh6OiouHHjRrrrql676dOnZ3p/+jh//rzC0dFRsXPnzjTX8/X1VTg6Oirmz5+fZfvOyDYdHR0VY8eOzbJ9Z6XUjmPevHmKChUqKEJCQgzUsqxx//59hZOTk2LEiBEay9etW6dwdHRU7NmzJ9PbPnDggMLR0VGxbNkyjeX9+vVTVKxYUfHq1SuN5du2bVM4Ojpq9cfPnz9XODo6KlauXJnptryrrOhfAwICFHFxcQqFQqFYsWJFmt+5ISEhilq1ain69++viI+Pf/cD+ADNnz9f4ejoqPD19c3ybac8D8gOKc9hpK9In/QVmpo3b66oV6+eIjY2VmP53LlzFY6OjoojR46ol2W0r/j2228Vrq6uigcPHqS5XkJCguLChQtay4ODgxW1atVSfP7554qkpCT18ilTpigcHR0Ve/fu1Vhfdb6zaNGidNsmhPg4ZPst2Pj4eJYvX06HDh2oUqUK1atXp3PnzmzYsEG9zrhx41KNhr9dTyFlDYMDBw7QuXNnXFxcmDJlisb6f//9N+7u7ri6ujJ06FD182/dusXw4cOpXbs2lSpVokWLFixevJjExESN/arGUQcGBjJmzBhq1qxJlSpV6N+/P0+ePFGvt2DBAnUKqKenJ05OTlptfv78OY8ePdLr9VqwYAFOTk48ePCAKVOmUK9ePVxcXOjWrRt///13qq+PruNNreZMaGgokyZNolGjRlSqVIlGjRoxadIkXr9+rbGe6vnnzp1j0aJFNG3aFBcXFw4ePAjAn3/+iUKhoGHDhlrtatKkCb179+bu3bt4eXnh6urK559/zvTp00lMTCQuLo4ZM2bQoEEDKleujIeHh9ZrpHot/Pz8Ut1+Vnj27Bm3bt2iZcuW6rtIAA4ODrRs2ZJz584RHBycqW1bW1tja2vLmzdvNJZHRkYCaKUh586dG0tLS513SBo2bMj9+/f1fi9ltX379mFpaUn37t01lvfp04eEhAQOHDiQ6W0XLlwYQK/x7tu3bwegW7dumd5fZmWkvszp06dxdXWlZ8+e6uOKj49nyZIltGnThsqVK1OjRg2GDBnCnTt39Np/WvVlrl27Rq9evahatSq1a9dmwoQJREVFaa139+5ddR9YuXJlWrduzfLly0lKSnqndS9fvoybmxsuLi7UrVuXyZMnEx0drbOthw4dolKlShp3eUGzzs/GjRtp0aIFlStXpl27dpw4cQKAe/fu0b9/f6pVq0bt2rWZMmUKCQkJGttJrX/QVUfoXezbtw+FQkGfPn00lnfv3h1LS0v27NmT6W0XKVIEQGffYWZmRt68eTWWq/qSt4dHFCtWjFKlSnHo0KFMt+VdZFX/6uDggJmZmV773Lx5M2FhYfzvf//D1NSUmJgYrfdIdkv5/blgwQIaN25MpUqVaNeuHfv379f5nKNHj+Lm5kbVqlVxdXXFzc2No0ePaq139epVBgwYQL169ahcuTINGjRg4MCBXL9+HVCeUy1cuBCAL7/8Un1ekrLfioiIYNasWTRr1oxKlSpRp04dxowZg6+vb6rHoes8ILWaM5cuXaJv375Ur14dFxcXOnXqpO67U1I939fXl5EjR1KrVi2NoarSV6RP+gpNUVFR5M2bV2OYNPx33CnPrzLSV/j5+bFv3z66d+9O2bJlSUpK0vkdC5ArVy5q1aqltdze3p5atWrx6tUrXr16pV5+4cIFLCwsaNOmjcb6rVu3xtzcPMveh0KInC9bc0Tj4+Pp378/Fy9epH79+rRv3x5zc3Pu37/P4cOH6dWrV6a3ffToUdavX4+7uztubm7Y2NioH/vnn3/4888/6d69O506dVIvP3nyJCNGjKBEiRL069ePvHnzcv36debPn4+Pjw/z58/X2Ed0dDS9evWiSpUqjB49Gj8/P9atW8ewYcPYt28fJiYmNGvWjODgYLZu3cqQIUMoXbo0AMWLF1dvx8vLixcvXnDv3j29j2/s2LEYGxszcOBAIiMj2bp1KwMGDGD58uXUrVtXY93UjleXiIgI3N3defbsGV26dKFChQr4+PiwefNmzp8/z/bt2zVeS4AZM2aQmJhI9+7dsba2plSpUoAybTpPnjzq398WEBBA3759ad26NS1atODs2bOsXr0aExMTHj58SGxsLIMGDeL169esWrWKYcOGcfDgwUwP24iIiND7BDxlAOTWrVsAuLq6aq1XtWpVdu7cye3bt/niiy/02nZoaCgKhYLg4GC2bdvGo0eP6NKli8Y6derUIVeuXMydOxcrKyucnJwIDw9nzZo1vHnzRiOgmLItoHzdy5Qpk2YbkpOTCQsL06u9ALa2tmm+7snJydy5c4cKFSponfC4uLhgZGSkfh31ERkZSXx8PFFRUVy5coUVK1Zga2urcxx2Sr6+vly4cIHq1aurP2s50a5du/jhhx9o3Lgxc+bMwdzcnISEBPr378+1a9fo0KEDHh4eREZGsm3bNtzd3dmwYQOVK1fO1P58fHwYMmQInTt3pm3btly8eJEdO3ZgbGzMzz//rF7v1q1b9O7dm1y5cuHh4YG9vT0nTpxg9uzZ3L17lzlz5mRq3Rs3btC3b1+sra0ZOHAguXPn5sCBA4wdO1arrSEhITx58iTN4OrGjRt58+YN3bp1w8zMjPXr1zNixAh+++03fvjhB9q2bUvTpk05e/Ys69evJ1++fAwbNixTr927fFb++ecfjI2NtYbXmZub4+zsnKHPRFxcHFFRUcTHx/Pw4UNmz54NQKNGjTTWq1+/PtevX2fs2LEMGDAAOzs77t+/z/Tp0ylTpgytW7fW2rarqyt79uwhKioKa2vrNNsRExNDTEyMXm02NTUld+7caa6T1f2rPv766y9sbGyIiIigQ4cO3L17F2NjY1xdXRk3btx7HQ45e/ZsoqOjcXd3B5TBjjFjxhAXF6dRQ2Xjxo1MnjyZ0qVLq9/LqmGukydPpkePHoCy7ki/fv2wt7fH09OT/Pnz8+rVK65cucLdu3epWrUqPXr0IDIykiNHjjB+/Hj1EBXVTbCIiAjc3Nzw9/enS5culCtXjuDgYDZt2kS3bt3YuXOn+oJfJbXzAF2OHz/OiBEjsLe3p2/fvtjY2LB//35++OEH/Pz8GD16tMb6UVFR9OrVi2rVqjFq1ChCQ0MB6StSI33FF2lup379+uzatYvp06fTrVs3rKysuHXrFosXL6ZWrVoaw/Az0lecPn2a5ORkypQpw//+9z8OHjxIQkICDg4O9OvXDy8vL71ei4CAAExNTTWGG8bHx2Nubq5Vu8/Y2BgLCwt8fX0JDQ0lX758eu1DCPHhytbgzNq1a7l48SKDBw9mzJgxGo8lJye/07YfPnzInj17dF6kPnjwgNWrV2sEMeLi4pgwYQJVqlRh7dq16rHLbm5uODs7M23aNC5cuKBRXPD169f079+fgQMHqpfly5ePWbNmce7cORo0aICzszNVq1Zl69at1K1bN83ihBlhYmLCxo0b1XcKu3btSqtWrfj555/Vd6zSOt7UrFixgqdPnzJx4kSN2iXly5dn8uTJrFixglGjRmk8JzY2lj/++EMrm+PRo0cULVo01UKwz58/59dff6VVq1YAuLu707lzZ1auXEnjxo1Zs2aN+rm2trb88ssvnD17lgYNGqR7HLoMGzaMixcv6rXuiBEj1DVSgoKCAO0sFkB99yYwMFCv7UZFRfH555+rf7ewsKBHjx5a2Q4lS5Zk3rx5/PLLLwwaNEi93N7enrVr1+oscqsK+D18+DDddvj7+/Pll1/q1WaAY8eOpVkvKTw8nNjYWI27WSpmZmbY2dmpX0d9fP/99/z555/q36tUqcLEiRPTrY2wc+dOFAqFQbJm9LV06VLmzp2Lu7s7EydOVJ+cb9y4kYsXL7JixQqN93jPnj1p27YtM2fOZP369Zna571799i6das6uOXm5kZkZCTe3t6MGzdOfZL9yy+/EB8fz5YtW3B2dgagV69ejBo1in379tG1a1f1+zcj606bNg2FQsHmzZvVF209e/bUqJukonr/pgxgvy0oKIgDBw6oT+br1KlDhw4dGDFiBPPnz6d58+bAf33Kpk2bMn3B9S6fFVWRR10ZHQ4ODly7do34+Hi9Mj62b9+uEUgrUqQIs2bNokaNGhrrDR48mFevXrFz50727t2rXt6oUSPmzp2rFVwH5R3xxMREnjx5QqVKldJsx4oVK9RZF+mpVatWuu/ZrOxf9fXkyROSkpIYMGAALVu2ZNiwYbx48YLFixfj6enJ9u3bKVeuXJbuMzWvX79mz5496veyu7s77du3Z/r06bRu3RoLCwvCw8OZPXs2xYsX17hB0rNnTzp27Mj06dNp1aoVefLk4cyZM8TExDB37txUg0yurq44OTlx5MgRmjZtqtW3//bbb/j6+rJt2zb1ZxugU6dOtGvXjgULFjB9+nSN56R2HvC2pKQkfv75Z6ysrNi+fbv6b9yzZ088PT1ZtmwZnTp1omTJkurnhIWFMWTIEK2gjfQVuklfkbYJEyYQExPDunXrWL16tXp5586dmTx5skbNuIz0Faqs+blz52JnZ8ekSZMwNTVly5YtTJs2jTdv3jBy5Mg023bq1Clu3rxJhw4dNG50lStXjsOHD+Pj46NR+NjHx0edefvy5UsJzgjxCcjW4MzevXvJmzcvw4cP13rsXYtaNmrUKNXsAWdnZ61AxdmzZwkJCWHMmDFaqZ8NGzZk2rRpnD17ViO4YmxsrDVbjCri/uzZM72DCMePH9drvZS8vLw0vqQLFSpEu3bt2Lp1K48ePdI4dl3Hm5ojR46QL18+9V04lR49erBw4UKOHj2qFZxxd3fXeUIWGhpKiRIlUt2Xg4ODOjCjUq1aNW7fvk3v3r01gjqqk4qMvK5vGzt2rNbfNjUpZylQ3fnRdVKkWqbv3SELCwtWr15NYmIi/v7+7N27l6ioKGJjY7VSiHPnzo2TkxPdunXD2dmZwMBAVq9ezbBhw1i7dq3GSTMoA1iARipsagoUKKBxUqLP+mmJjY0FdL9GoLz7p+9rBDB8+HDc3NwIDQ3lwoUL3Lt3L907kklJSezatQsbGxtatmyp977el+TkZCZPnszGjRv5+uuvtS4A9uzZQ+nSpalYsaL6zrBK3bp1+eOPP4iNjcXCwiLD+65atapW1lGdOnU4deoUL168wNHRkVevXnHt2jWaNWum8d4yMjJi6NChHDp0iCNHjvD5559nat0WLVpo3E03MzPDy8uLb775RqNdqmN/O9U+pc6dO2vcZXV2dsbGxgZra2v1xZZKtWrVWL9+vV53enV5l89KTExMmp8JUH529Lngatq0KaVLlyY6Opo7d+5w/PhxraGmoPxecnBwoG7dujRt2hRbW1uuXr3K+vXrGT16NL///rtWEfiM9B0dO3bUewY0fQrNZmX/qq+oqCiSkpJo166dRpChYsWKeHp6smjRIn799dcs3Wdq3N3dNd7LuXPnxs3Njblz53LhwgUaNWrE2bNniY6Opnfv3hoXzDY2NvTu3ZupU6dy7tw5WrZsqd7WsWPHcHJy0spkTI9CoWDv3r3UrFmTggULavRFlpaWVK1alTNnzug8Dn0Kkt6+fRt/f3+8vLw0gvlmZmYMGDCA4cOHc+zYMfr376/xvLd/B+krUiN9Rdpy5cpF4cKFadq0KU2aNMHCwoIzZ86wc+dOTExM1GUQIGN9hWoIU0JCAhs3blRnpLVq1Yo2bdqwYsUK+vTpk+r79enTp3z33Xc4ODho3bDr06eP+vz7+++/VxcEnjp1KqampiQkJGR5PymEyJmyNTjz7Nkzypcvn+GTB32kvOuiz2OqOh3ff/99qs8LCQnR+L1gwYJabVd9cWUktTUzdAWeVMt8fX01Hk/rtXibn58flSpV0pr1IFeuXJQsWVJn7YvU0peNjIxQKBSp7ktXJobqS+vtx1Rf3O/yuqZ3lyc1qhPO+Ph4rcdUy/Stkm9iYqIRKOvWrRu9e/emT58+eHt7q0+ETp8+zaBBg1i6dKlGzZ7mzZvTqlUrJk2axObNmzW2rXqt9Zmy2tzcXO+AnT5UAQNdrxEoM9MyMpNAyhpTbdu2ZcuWLQwcOJANGzakerJ35swZAgIC6NGjR46ctWDt2rVERUUxevRohgwZovX4o0ePiI2N1cisetvr16/57LPPMrzvlMFGlbf7KlXtprJly2qtW7p0aYyNjdX1JjKyrup/XcPMdD1f9f7NTN9RqFAhnctBeZyZueB6l8+KpaVlqhcxcXFxAHoH2woVKqQ+vqZNm9K8eXO6du1KbGwsgwcPVq83btw4rl27xv79+9XbbtasGcWLF+enn37ijz/+0Mosy0jfUaxYMZ3vp8zKyv5VX+bm5kRHR2tNvVy7dm0KFy6sd4ZlVtD1uVB9f6s+Z6r/dWXzqJapPmdt2rRhz549LFmyhDVr1lClShXq169PmzZttIYi6RIaGkpYWBhnzpxJtS/SdfMsrWFMKaXVd7x9LCr58uXTefEufYVu0lekLjk5mQEDBpCUlMTmzZvVx9GyZUtsbW1Zvnw5rVu3Vv8dM9JXqF7DL774QmM2K1NTU9q2bcuiRYu4fv261vAyUL7nVcOeli9frpUBU6NGDebOnauRTW1iYkLXrl0JDQ3lyJEjOjOdhBAfnxwxL2FqXwJvF+lNKa0OWtdjqi8c1dR2urydSpnWdLlpnSy8b9l9oZraCUO+fPnSLOCa1uuXWuZUytc1rZMDXe+NsLAwvWvOWFlZqU/OVH93XcNyVCm0uobz6MPExIR27drx008/cfnyZfXJ8PLly7G0tNQqplygQAFq1KjBX3/9pZXirHqt9UlrTUpK0srOSEu+fPnS/HvlzZsXCwsLnSnF8fHxvH79mpo1a+q9v7e1b9+eSZMmsWXLllSDMzt27AAMUwhYH/Xq1ePSpUts27aNNm3aaJ20KhQKHB0d1QXEdclsyvKH0lfBf8eYmb7jXY9TVyHjd/msFCxYkIcPH+ocjhAYGJjqMAZ9ODs7U6FCBTZt2qS+4FJl4/Xq1UurX27ZsiU//fQTFy9e1PqMZKTviIqKSrWQ89tMTU3VQcDUZGf/mppChQrx+PFjndNlFyhQQO8C3DmRmZkZq1ev5ubNm5w+fZrLly8zf/58Fi5cyJw5c2jWrFmaz1d9TurWrasxZDs9mcno01dq5zDSV+hH+or/XLlyhcuXLzN27Fitc8iWLVuyfPlyLl68qA7OZKSvUO1bV6axapmu7G0/Pz/69OlDdHQ0a9asSXUClFatWtG8eXPu379PVFQUpUqVIn/+/HTt2pVcuXKlmakuhPh4ZGtwpmTJkjx+/DjdcbQp72ak7Lzfvrvyrm0B5UlAVmYUgH53GDLq0aNHWsNaVNk/73KnolixYjx58oTExESN7JnExESePn2aoW2XK1eOS5cukZyc/M7D1HRRvS/Cw8M17o7FxcURHBys9UX11VdfZarmjKoI67Vr17ROVK5fv46RkREVK1bM9HGo7oqlzAoKDAxEoVCgUCi03j+JiYkkJSVpnUA+e/YM0H139W0vX77M0pozxsbG6uLRb3+eb968iUKhyHTmEijThJOTk1M9CX/16hUnTpzA2dk500Vzs5ujoyMjR46kT58+9OrVi7Vr12pktZUoUYLXr19Tp06dbPm8pEf199VVs+jx48ckJyerP/+ZWffx48da6+p6vur9q3o/ZwdbW1udWXi6vlPe5bNSqVIlzpw5w82bNzXqPcTFxXH37l2tGhAZFRsbq/GZUF2gpHbhmNpjz58/J1euXHplP6xatSpL60hkd/+qi4uLC48fPyYgIABHR0eNxwICAt5r3QZdnwvVd7nqfaT6LD148EArm0X1GXr7u9nFxUVdc+bly5d07NiRX3/9VR2cSe28RJWlEhkZmeXnQpB235HasaRG+gr9SV+hlNHjzkhfofq8BQQEaG1bteztWcX8/Pzw9PQkIiKC1atXU6FChTTbb2JionEDOTg4GB8fH2rWrJkjM4aFEFkvW4Mz7dq1Y9asWfz+++9adUxSXpSqLmDOnTunUT0+I2N701O/fn3y58+vTml8O4IfGxtLYmJiptIGVbVEUruwfP78OQkJCenOsJPSmjVraNasmfoiOCAggL1791KqVKkMbedtTZs2ZcmSJWzfvl09ewTAtm3bCA0N1apFk5ZatWpx8uRJHj58qPWllhVSvi9SfiGvWbNGZ0HpzNacKVGiBJUqVeLQoUN8/fXXGoXnDh06RJ06dTTulISGhvL69WsKFiyoHuseHh6OpaWlVhAyOjpaPWtOyuKNZcuW5enTpxw8eFDjPe/r68vly5dxdHTUGlJ348YNAL0yVLK65gwohx9dvXqVrVu3asyeoSqwnfI4EhISeP78OZaWluppskF5oqFrX6qTttRma/rjjz9ISEiga9eueh+TIZQrV47169drBGhUn9eOHTsyc+ZMVq9erbO+QkhIiM67d1klf/78uLq6cuLECe7fv6/+zCoUCpYtWwagvrDLyLr29vZUrVqV48eP8+TJE/VJfXx8PGvWrNFqR758+ShXrpx62t/sULJkSQ4fPkxgYKD68xwfH8/GjRu11n2Xz0rr1q1ZunQpa9eu1bi42rZtGzExMbRr107jubq+C1L7TJw/f54HDx5oTMdaqlQpTExMOHr0KGPGjNEYCqKaalVX8PL69etUrFhRr6EcWV1HIiv614zq0KEDf/zxB1u2bNHITjx+/DiBgYF07949U9vNjM2bN2vUnYmIiGDLli3kyZNH/betV68eVlZWbNiwgc6dO6vPQyIjI9mwYQNWVlbUq1cPQOeMLYUKFdLKZE15XpIy8G5sbEy7du3YuHEjhw4d0lm/69WrV1oXmfqqWLEihQsXxtvbmwEDBqj/tgkJCaxcuRIjIyO9AxzSV0hfARnrK1TD6fbu3YuXl5dGTR1dx52RvqJmzZoUKVKEEydOaLxfoqOj2b17N3ny5FHPqgnw4sULPD09efPmDatWrcrwDazk5GSmTJlCUlKSzqHSQoiPU7YGZzw9PTlx4gSLFy/m1q1b1K9fHzMzMx4+fMiTJ0/UJ+5t27Zl3rx5TJw4kcePH2Nra8vp06d1FjjLLCsrK2bMmMHw4cNp2bIlXbp0oUSJErx584bHjx9z5MgRFi5cmKnZlipXroyxsTFLliwhPDwcKysrihYtqr7QzMxU2klJSXh4eNCmTRuioqLYsmULcXFx/PDDDxluX0oDBgzg0KFDTJ48mTt37lC+fHl8fHzYsWMHpUqVYsCAAXpvq3nz5syePZtTp05lS3Cmbt26lCpVivnz5xMWFkbRokW5cuUKN27c0Bjvq/IumRsTJkzA09MTDw8P9RTvGzZsQKFQaBVu27hxIwsXLmTatGnqccqXLl1i4sSJNG/enBIlSmBtbY2fnx+7d+8mICCAESNGaNQDGDx4MKdPn+a7777j4sWLlC9fnoCAADZv3kxcXJzW7GaA+nXWJziX1TVnAPUUq9OnT+fFixeUKVOGU6dOceTIEYYOHapxARAYGEjr1q217pa1bduW6tWrU6FCBRwcHHj9+jXnzp3j77//xtHRkT59+ujc944dOzA3N6d9+/ZZekzZoUyZMmzYsIE+ffrg6enJmjVrKFeuHJ6enpw7d46ZM2dy/vx56tSpg42NDf7+/pw/f149DWx2mjBhAr1798bDw4OePXtSoEABTpw4wZkzZ2jbtq3GXfuMrDtu3Dh69+6Nu7s7Hh4e6qm0dd29BGV6+e+//05QUJDOmTnelYeHB/v378fLyws3NzcSEhLYvXu3zjuP7/JZcXJywsPDgw0bNjBixAgaNWrEo0ePWL9+PbVq1dK64NL1XfDTTz8RHBxMnTp1KFy4MHFxcdy+fZsDBw5gbW2t0f/Y2trSp08fVq1aRceOHenevTt58+bl6tWr7N27l+LFi2vdcX7+/DlPnjzROa25LlldRwLevX8FuHv3rrq4/tWrVwHYvXs3V65cAaB3797qC7S6devStm1b9u3bx8CBA/niiy/w9/dnw4YNFChQgBEjRmTp8aXFzs6Obt26qY/F29sbf39/pkyZon4/5smTh2+//ZbJkyfTvXt3OnXqBCin0n727BmTJ09WH9vixYs5e/YsX3zxBUWLFkWhUHDixAkeP36s8f2tOv+YPXs27dq1w9zcnHLlyuHo6Mjo0aO5evUqo0aNolWrVlSpUgVTU1P8/f3566+/qFixotZsTfoyMTHhxx9/ZMSIEXTt2lU99fbBgwe5fv06Q4YMyVCdPOkrpK/ISF/h7OxMixYt+PPPP+nSpQvt27fH0tKS06dPc+LECapWraoRHMxIX2FiYsL//d//MXToUHr06EHPnj0xNTXF29ubly9f8ssvv6iDopGRkXh6evLixQt69+7NkydP1LM9qdSrV099QyYqKopu3brRrFkzihYtSkREBPv27eP27duMHj1aY/pvIcTHLVuDM2ZmZqxatYpVq1axb98+5s6di7m5OSVKlNA46bKxsWHZsmVMmzaNpUuXYmVlRfPmzZk1a9Y71bF4W4MGDdixYwfLli1jz549vH79mjx58lC8eHG8vLxSHQeansKFCzN16lSWL1/OpEmTSEhIoFOnTqlmAehjxowZbNmyheXLl/PmzRucnJyYPn26+u5ZZuXOnZvNmzczf/58jh8/jre3N/nz58fNzY2vvvoqQ5lDxYoVo379+uzZsydDY9f1ZWJiwuLFi5kyZQobNmzA1NSUevXqsWHDBo2sn6ygmsXh119/5bffflMv++2337SGl+ni6OhI48aNuXjxInv37iU2NhZbW1sqV67MpEmT+OKLLzTWd3FxYcuWLSxZsoTDhw+zbds2rK2tcXFxYdCgQVpBQj8/P65cucKPP/6YZcecUWZmZqxZs4Zff/2Vffv2ERYWRvHixfnxxx81pmVPi6enJ2fPnmXTpk2Eh4djbm5OqVKlGDNmDL1799aa0QqUF2KPHz+mbdu2ac7akZOULFlSI0CzevVqnJ2dWbp0KZs2bWL37t0sWLAAUI6zr1y5svqCLDtVrlyZLVu2MH/+fDZv3kx0dDTFihXj22+/pV+/fple19XVldWrVzNnzhyWLVtG7ty5adGiBe7u7loXHaAM9C1evJh9+/ZpbSsrVK9enenTp7NkyRJmzZpFwYIFcXd3p1KlSuqijFnl+++/p0iRImzdupWTJ09iZ2dHr169GDlypF7D19q0acPu3bvZvXs3oaGhGBkZUbhwYXr06EH//v01Ms9AWTetVKlSbN++naVLlxIfH4+DgwPu7u46+/A9e/ZgZmb2Xt5fqXnX/hXgzp076ueq7Ny5U/1z+/btNTJtZsyYgZOTEzt37mTatGnq9+To0aOzvMZNWr799lsuX77Mpk2bCAkJoVSpUuqASUoeHh4ULFiQlStXsmjRIkB5oblo0SKaNm2qXq9p06YEBwdz6NAhQkJCsLCwoESJEkyZMkUjs7B69ep8++23bNmyhR9//JHExERGjBiBo6Oj+jxg1apVHDp0iGPHjmFiYkKhQoWoXr36O9f1atKkCWvWrGHx4sWsXLlSnQEyZcqUDG9b+or/SF+hX18xe/ZsKleuzN69e5k/fz7JyckUKVKEwYMHM2TIEK16RBnpKxo1asSaNWtYuHAhixcvJjk5mfLly7N48WKaNGmiXi8sLExdHDu1my7r1q1TB2dMTU1xdnZm7969BAcHY2lpSeXKlVmxYkWmZzAVQnyYjBQ5rVrkJ27BggUsXLgw3RogOcW1a9dwc3Nj9erV2TJ+XShNnTqVQ4cO8eeff8q4Y/FRmDhxImfPnuXQoUNa07mKrBEXF8eXX35JmzZt0ixELbKet7c348ePZ926dZnKyBX/kb4i+0lfIYQQOYPeVSkvX76cne0QHyhXV1dat27N/PnzDd2Uj1ZQUBBbtmxh9OjREpgRH42vv/6asLAwdR0AkfU2b95MfHw8w4YNM3RThMg06Suyn/QVQgiRM+idOePs7Ezp0qXp2rUrHTt2fK+zHXxKPrTMGSGEEEJokswZIYQQQmSU3pkz3377LQAzZ86kYcOGjBw5kr/++ktrul8hhBBCCCGEEEIIob8M15y5cuUKO3bs4NChQ8TGxuLg4EDnzp3p3LmzZHoIIYQQQgghhBBCZFCmCwJHRUVx4MABduzYwY0bNzA2NqZOnTp07dqVZs2aSdE2IYQQQgghhBBCCD2882xNQUFBzJ49mz179qiX5cuXj379+tG3b1+tKeuEEEIIIYQQQgghxH/0rjmTUnJyMseOHWPo0KE0adKEPXv2UL16dWbMmMG8efMoXbo0c+bM4Zdffsnq9n5Qxo0bh5OTk6GbofY+2hMXF0eTJk2YN29etu5H6DZ8+HB69+5t6GZ8kC5cuICTk5PGjCB+fn44OTmxYMGCNJe9q9S26eTkxLhx49JdllOk9dq8evWK6tWrs23bNgO07NOmUCjo1KmTTJEr3lnv3r1p0qRJtu5D+grDkb5CCCEMK1dGVn769Ck7duzgjz/+4NWrV+TNm5devXrRrVs3ypQpo16vVatW/PTTT+zfv5+JEydmeaNFzrV69WrevHlDv379DN2UbBMYGMicOXP466+/iI6OpmzZsgwcOJBWrVrp9fxdu3axb98+Hjx4wOvXr7G2tqZEiRL06NGDDh06pJltlpycjLu7O9evX+eLL75g6dKlGo9/9dVXdOzYkWPHjvHll1++03G+qz/++IM1a9bw+PFjbGxsaNy4Md98841eM729evWK2bNn888//xAYGEhMTAyFChWiZs2aDB48mBIlSmg958GDByxZsoRr164RHByMvb09rq6uDBo0CGdn5+w4RJEBv/76K/ny5aNz586Gbkq2efz4MbNnz+bSpUskJCRQoUIFvvrqKz7//HO9nr9q1SpOnDjBkydPCAsLw9bWllKlSuHp6UmzZs3SfG5MTAxt27bFz88PDw8Pje9eIyMjRowYwYgRI/D09KR8+fLvdJzvIjk5mXXr1rFlyxZevHhBvnz5aNWqFSNHjsTKyirbtzFq1CgOHjxIuXLl2LdvX1YcUo5w4cIFLl68SJ8+fciTJ4+hm/NOpK9In/QV6fcVT548Yc+ePZw9e5bnz58TFxdH8eLFadmyJX369NHYhkKhYM+ePZw8eZJ//vmHoKAg7OzscHZ2ZujQoVSpUiXT21Y5ePAga9eu5e7duxgZGVG+fHkGDx5Mo0aNtNaNiopi/fr17N+/Hz8/P8zMzChVqhTdu3enU6dOGBkZZeIVFR8iHx8fjh49SqdOnaS26ydC7+BMz549uXbtGgqFgpo1azJu3DiaN2+OmZmZzvVr1KjBli1bsqyh4t39/PPPTJo0Kdu2Hxsby8qVK+ncuTN58+bNtv0YUlhYGD179iQ0NBQvLy8KFSrEvn37GDVqFNHR0XTp0iXdbdy+fZs8efLg4eFBvnz5iI6O5tSpU4wfP57Lly8zderUVJ+7adMm7t+/n+rjzs7O1KpVi99//92gwZk1a9Ywbdo0atWqxYQJEwgICGDNmjVcv36d7du3p3tiFR4ezpMnT6hfvz6FCxfGwsKCp0+fsnPnTg4dOsS2bdsoW7asev27d+/So0cP8uTJQ48ePXBwcMDX15etW7dy5MgRtm7dSoUKFTJ8HEWKFOHmzZsGG5558+ZNjI0zleCYowQEBLBz507Gjh1LrlwZuifwwXj+/Dnu7u6YmJgwYMAAbGxs2L59OwMGDGD58uXUrVs33W3cvHmTIkWK0LBhQ+zs7AgPD+fQoUOMGDGCkSNHMnz48FSfO3/+fEJDQ1N9/Msvv6RIkSIsXryY+fPnZ+oYs8LUqVNZv349zZo1o1+/fjx69Ij169dz584d1qxZo9f7PbPbOHHiBH/++ScWFhZZfVgGd/HiRRYuXEinTp2yNTizcuXKbNs2SF8hfcV/3rWv2LlzJxs3bqRJkya0a9eOXLlyceHCBX799VcOHjzItm3b1H1BfHw83333HeXLl6d169YULVqU4OBgtmzZQo8ePZgxYwYdOnTI1LYBli1bxpw5c6hQoQJff/01AHv27GHw4MHMnDmT9u3bq9dNTk5m4MCBXLt2jY4dO9KrVy9iYmLYv38/48eP59GjR/zvf//Lypda5GA+Pj4sXLiQWrVqSXDmU6HQU+3atRXTp09XPHnyRK/1X716pbhw4UKa60REROi7+w/S2LFjFY6OjgZtQ3JysiIyMjLbth8TE6NISEhQKBQKxbZt2xSOjo6K27dvZ9v+DG3GjBkKR0dHxbFjx9TLEhMTFV26dFHUqlXrnV7rgQMHKpycnBRBQUE6H3/58qXC1dVVsWrVKoWjo6Ni0KBBOtfbsWOHwtHRUfHPP/9kui3v4tWrV4oqVaoounTpokhMTFQvP3bsmMLR0VGxePHiTG/7xo0bCkdHR8X//d//aSz/8ccfFY6OjgofHx+N5WfPnlU4OjoqpkyZku62z58/r3B0dFTs3LkzzfV8fX0Vjo6Oivnz52e4/VmxTUdHR8XYsWOzbN9ZKbXjmDdvnqJChQqKkJAQA7Us+40cOVLh7OysuHPnjnpZZGSk4osvvlA0b95ckZycnKntJiQkKNq1a6eoWrWqxucppX/++UdRvnx5dd8wadIknev99ttviooVK6bax2S3+/fvK5ycnBQjRozQWL5u3TqFo6OjYs+ePdm2jcjISEWjRo0UP//8s6Jx48aKNm3aZP5AcqD58+crHB0dFb6+vlm+7cTEREV0dHSWb1cl5bmg9BXSVygUWdNX3Lx5U/HmzRut5XPnzlU4Ojoq1q9fr16WkJCg85olODhYUatWLcXnn3+uSEpKytS2g4ODFRUrVlS0bdtWER8fr14eHx+vaNu2raJmzZoan4GrV68qHB0dFb/88ovGtuPi4hRNmjRRVK9ePd1jFx+PnTt3KhwdHRXnz59Pd93s7qvF+6H3LdkzZ84wduxYSpYsCYC3tzdOTk6cO3eOBQsW0LhxYypVqkS7du3Yv38/+fLlo1atWurnN2nShN69e3Pnzh369+9P9erVNSLFly5dom/fvlSvXh0XFxc6derE9u3btdqhGu/s6+vL0KFDqV69OtWqVWP48OH4+vpqrR8dHc2cOXNo2rQplSpVol69enz33Xe8ePFCY73k5GTWrFlDu3btcHV1pVq1arRo0YLvv/+ehIQEjddh1KhRfPnll7i4uFCjRg369evHxYsX9XodExISePToEf7+/nqtn5HjTVkzY+PGjbRu3ZrKlSuzatUqIPWaM3fv3mX48OHUrl2bypUr07p1a5YvX05SUpLGeqrnh4aGMn78eOrWrUvVqlUJCAgA4NChQxQoUEArQyFlHYoDBw7QoUMHXFxcaNasGTt37gTA39+fkSNHUqtWLVxdXfn222+JjIzU+Vq8LTtqgKRm3759FC9eXKMdJiYm9OrVi7CwME6dOpXpbRcuXBiFQkFERITOxydNmkSxYsXw9PRMczsNGzYElCm0hnDs2DFiYmLo1auXRsZJkyZNKFasmEbx8IwqUqQIAG/evNFYrnqvFCxYUGO56nd9h0u8LSPvrdOnT+Pq6krPnj0JDw8HlHfjlixZQps2bahcuTI1atRgyJAh3LlzR6/9p1Vf5tq1a/Tq1YuqVatSu3ZtJkyYQFRUlNZ6+n6+M7ru5cuXcXNzw8XFhbp16zJ58mSio6N1tvXQoUNUqlSJ/Pnzayx/u89q0aIFlStXpl27dpw4cQKAe/fu0b9/f6pVq0bt2rWZMmWKRp8M/32/vE1XHaHsEB0dzfHjx6lVq5bGMABra2u6du3K06dPuXXrVqa2nStXLhwcHIiJiSExMVHr8aSkJH788UcaNGiQ7nCGhg0bkpCQwNGjRzPVlne1b98+FAoFffr00VjevXt3LC0t9eobMruNefPmkZSUxKhRozLd/rSkd06ky9GjR3Fzc6Nq1aq4urri5uam829z9epVBgwYQL169ahcuTINGjRg4MCBXL9+HVB+Ny9cuBBQZj04OTlp9VsRERHMmjWLZs2aUalSJerUqcOYMWO0ziNSHseiRYto2rQpLi4u6u+T1L6HM3MOp/rOr169uvpx6Sukr4Cs6SsqV65M7ty5tZa3bt0aQCMLOVeuXBrXLCr29vbUqlWLV69e8erVq0xt+9q1ayQkJNCuXTuNmWxNTU1p27Yt4eHhGq9zauczZmZm2NnZYWlpmfaBi4/GggUL1PWfPD091X37uHHj0u2rM3q9+uzZM8aPH0/Dhg2pVKkS9evXZ+jQofzzzz8a6926dUt9nlipUiVatGjB4sWLdfY5InP0zhmtXLkys2bNom3bthrLZ8+eTXR0NNWqVWP//v0kJCQwZswY4uLitMYL+/v706dPH1q2bEnz5s3VJ/LHjx9nxIgR2Nvb07dvX2xsbNi/fz8//PADfn5+jB49WmM70dHR9O7dGxcXF8aMGcOzZ8/YtGkTN27cYNeuXRQoUABQBkL69+/P1atXadGiBX379uXZs2ds3ryZs2fPsnPnTgoVKgSgTt9s3Lgxbm5umJiY4Ofnx/Hjx4mPj1d3qLt27SI8PJyOHTtSqFAhAgMD2b59O15eXqxbt44aNWqk+ToGBgbSunVratWqxfr16/V67fU9XpW1a9cSFhZGt27dKFCggPoYdbl16xa9e/cmV65ceHh4YG9vz4kTJ5g9ezZ3795lzpw5Ws/p27cv9vb2DBs2jOjoaKysrEhKSuLq1avUqVMn1X2dOHGCLVu24O7ujq2tLTt27OD777/H1NSUefPmUadOHUaPHs2tW7fYuXMn5ubm71RUOq203bflzp073enfg4KCCAwMpF27dlqPVa1aFVC+nqov5/RERESQkJDAmzdvOHPmDDt37qRkyZI666kcOnRI/fqlN8SmQIECFClSRO+Aoaod+rC0tEz3xEB1Yunq6qr1WJUqVdi/fz9RUVFYW1unu7+EhAQiIiJITEzk+fPn6osNVQBKpX79+uzfv5///e9/jBw5kkKFCuHr68vs2bMpUKAAbm5ueh1fZu3atYsffviBxo0bM2fOHMzNzdX9z7Vr1+jQoQMeHh5ERkaybds23N3d2bBhA5UrV87U/nx8fBgyZAidO3embdu2XLx4kR07dmBsbMzPP/+sXi8jn++MrHvjxg369u2LtbU1AwcOJHfu3Bw4cICxY8dqtTUkJIQnT56kWah648aNvHnzhm7dumFmZsb69esZMWIEv/32Gz/88ANt27aladOmnD17lvXr15MvXz6GDRuWqdcuOTmZsLAwvde3tbVNN33+3r17xMfHq/uBlFL2DS4uLnrtMywsjOTkZF6/fs3Bgwc5ffo0tWvXxtzcXGtdVV0nfYYfVKhQATMzMy5evIi7u3u664eHh+sMzOliY2OT6jBnlX/++QdjY2Ot18Hc3BxnZ2e9Lkozs42bN2+yceNG5syZg42NjR5Hk3mqcyLV6+vt7a3znGjjxo1MnjyZ0qVLq9/Lu3btYvjw4UyePJkePXoAytok/fr1w97eHk9PT/Lnz8+rV6+4cuUKd+/epWrVqvTo0YPIyEiOHDnC+PHjsbOzA1DfjImIiMDNzQ1/f3+6dOlCuXLlCA4OZtOmTXTr1o2dO3eqA98qM2bMIDExke7du2NtbU2pUqVSPeaMnsNFRUXRq1cvqlWrxqhRo9Tf1dJXKJdJX5E1fUVqVDcU7e3t9V7f1NRUr+GCurYdHx8PoHM4pWrZjRs36NixIwAuLi7kyZOHFStWUKRIEapUqUJMTAx//PEHt2/fztbyBCJnadasGcHBwWzdupUhQ4ZQunRpAIoXL86TJ0+A1PvqjFyv3rp1Cy8vLxITE+natSvlypUjPDycixcvcu3aNSpVqgTAyZMnGTFiBCVKlKBfv37kzZuX69evM3/+fHx8fAw6DPJjondwRqFQoNAx6/br16/Zs2cPf/31FwcOHGD79u20b9+e6dOn07p1a43OyM/PjylTptCtWzf1sqSkJH7++WesrKzYvn07Dg4OgLLGjaenJ8uWLaNTp07qjB3VPj09PZkwYYJ6Wc2aNRkxYgQLFixg8uTJgPKNefXqVfr37893332nXrdu3boMHjyYOXPmMGvWLEB5B6tMmTIsWbJE4/i+/fZbjd9VbU3Jzc2NNm3asHTp0nSDM5mh7/GqvHz5koMHD2rdedLll19+IT4+ni1btqiLpvbq1YtRo0axb98+unbtqlWgrly5csyePVtjma+vL9HR0RQvXjzVfT1+/Jj9+/erTwJbt25No0aN+O677xg7dix9+/YFwN3dnTdv3rB7926+//57vS7iddG3sB7AunXrqF27dprrBAUFAajfoymplqnW0UefPn24ffs2oCzCV7duXSZNmqQVfImIiGDKlCn06NFD5wmdLsWLF+fGjRt6rTts2DC9AzkjRozgq6++SnOd9F4nhUJBUFBQmif7KmfOnGHIkCHq3+3t7Rk3bpz6JEalU6dO+Pn5sXr1arp3765e7uLiws6dO3W2JassXbqUuXPn4u7uzsSJE9Un5xs3buTixYusWLGCBg0aqNfv2bMnbdu2ZebMmXoHaN927949tm7dqi5S6ObmRmRkJN7e3owbN079mcnI5zsj606bNg2FQsHmzZvVf8eePXvSs2dPrbY+fPgQIM2+ISgoiAMHDqjvRNapU4cOHTowYsQI5s+fT/PmzQFl39C5c2c2bdqU6Qsuf3//DNVjOnbsWLrjvPXpGwIDA/XeZ4sWLdQXhbly5aJ58+b89NNPWuv5+vqyYMEChg0bRtGiRfHz80tzu2ZmZhQqVEj9N0lPp06dtLJMUzNt2rR0C7iqimzqujBzcHDg2rVrxMfHp3nhltFtJCYmMmHCBOrVq6d34PxdqM6JVO9ld3d3rXOi8PBwZs+eTfHixdm+fbs6YNSzZ086duzI9OnTadWqFXny5OHMmTPExMQwd+7cVC/YXV1dcXJy4siRIzRt2lTr/frbb7/h6+vLtm3bNIqjd+rUiXbt2rFgwQKmT5+u8ZzY2Fj++OOPdIPxmTmHCwsLY8iQIVpBG+krpK9QyYq+QpekpCQWL15Mrly5tG4263Lq1Clu3rxJhw4ddAa89Nm2qj7e+fPntTKfL1y4ACjP21Xy5s3L4sWLmTBhgkamn7W1NQsWLKBp06bptlt8HJydnalatSpbt26lbt26GtcpquBMan21vterCoWC8ePHEx8fz/bt2zW+IwYPHkxycjKgnI13woQJVKlShbVr16prgrm5ueHs7My0adO4cOFCutdSIn3vXG3N3d2d3Llz4+/vj7W1Nblz58bNzY25c+dy4cIFjSrktra2Wh3y7du38ff3x8vLS+PLyszMjAEDBjB8+HCOHTtG//79NZ43aNAgjd+bNWtGqVKlOHbsmDpYceTIEYyNjRk8eLDGul988QXly5fn2LFjJCcnY2xsjI2NDc+fP+fy5ctpBlhSvtGjoqKIj4/H2NiYKlWq6HUxXLRoUe7du5fuem/T53hVOnTooFdg5tWrV1y7do1mzZppfBiNjIwYOnQohw4d4siRI1pBjrf/FqA8IQXSLASsKjKnki9fPkqVKsXDhw/x8PDQWLdGjRocOXKEFy9e4OjomO6x6LJ69Wq919VnNp/Y2FgAnScDqi/tmJgYvff5008/ERkZSVBQEKdOnSIkJITw8HCKFSumsd6sWbNQKBR88803em/b1taW6OhoYmNj0y1+OXbsWK1hQql5u226qF6DtF4n1WuZnipVqrB69WpiY2N5+PAhBw4cIDw8nMTERI1ikUZGRtjb21OtWjWaNGmCg4MDd+/eZdWqVQwbNow1a9boTEF+F8nJyUyePJmNGzfy9ddfa10A7Nmzh9KlS1OxYkWtLK66devyxx9/6PX30aVq1apas0fUqVOHU6dOqT8zGfl8Z2bdFi1aaATYzMzM8PLy0nqfqo49rb6hc+fOGn8fZ2dnbGxssLa2Vl9sqVSrVo3169frnX31tgIFCmSob3g7M1EXfd7zGekbFi5cSFxcHIGBgRw6dIi4uDiioqK0Zjr76aefKFasmDqwrQ9bW1u9L6JmzZpFXFycXuumLNCdmpiYmFQvplL2DWldcGV0GytXruT58+f8/vvv6bYvK6jOiVR0nROdPXtWnRGbMpPHxsaG3r17M3XqVM6dO0fLli3V2zp27BhOTk7pXiC+TaFQsHfvXmrWrEnBggU1+iJLS0uqVq3KmTNndB6HPsMnMnsOp+s8QvoK6StUsqKv0GXq1Klcu3aNMWPGqLMQUvP06VO+++47HBwcUh1erM+2nZycqFevHseOHWPmzJnqiSO8vb3566+/1MeSkpWVFY6OjjRp0oRq1aoRFhbGpk2b+Oabb/j999+pV69eho5bfLxS66v1vV718fHhwYMH6iDL21Q3HM+ePUtISAhjxozRumZo2LAh06ZN4+zZsxKcyQJpBmeOHj3KsWPH1L9v27aNc+fOAcqxaaD8Y12/fp2///6batWqAain1X47Ml+sWDGtrADVOro663LlygFojYnOkyePzi/BMmXKcPToUfVQGz8/PwoWLKjzi75s2bL4+Pjw+vVr8ufPz5gxYxg+fDgeHh4ULFiQWrVq8cUXX9CiRQuNzv/58+fMmzePM2fOaL05s2tqO32PVyXlHaq0pPXaly5dGmNjY511fNLavq7sKhVdF/Z58+alQIECWl+wqvTRjKQUv02fGQ90CQ4O1vjd1NQUW1tbjar+b1OdlGRkLHDKu6AdO3Zkzpw59OrViz179qjvHF6+fJlt27Yxc+bMDM3Aofo76POeVKUrZhXVaxAfH68VeFC9TvoGJPLly6f+OzZp0oQOHTrQvn17QkNDNYKS8+bNY+PGjRw8eFD9WVGNvx04cCArVqzQukv7rtauXUtUVBSjR4/WyO5RefToEbGxsWlmcL1+/ZrPPvssw/vW9VmytbUF/vvMZOTznZF1Vf/rOrHV9XzVezCtvkHX3ea8efPqHJKp6s/DwsIydcFlbm6eqb4hKSlJK8hmYWFB7ty5Nd7zb8tM31CzZk31z126dGHMmDG4u7uzf/9+9fHv3r2bs2fPsmHDhnSHZKakUCj0/q5KWQskK1haWmrUbUhJ374hI9t49uwZixYtYujQoXoFlrOCrs/F2+dEqv9V5zgpvX3e06ZNG/bs2cOSJUtYs2YNVapUoX79+rRp00ZrKJIuoaGhhIWFcebMmVT7Il1DcfTJbEx5LBk5h8uXL5/O7zPpK6SvUMmKvuJtv/76Kxs2bKBHjx5aN23f5uvri5eXFwDLly/XCnZldNvz5s3jhx9+YNWqVeoZz4oUKcL//d//8cMPP2gEae/du4ebmxvjx4/XGFLWtm1b2rZty48//siRI0cMNoukyFlS66v1vV59+vQpQLozmj569AiA77//PtV1QkJC9GmySEeawZm7d++ya9cuQPmHvHTpEpcuXQL++/I8f/481tbWuLq6MnHixDR3lpOLWLm6unLkyBHOnDnDhQsXuHDhAvv27WPx4sVs2rQJW1tboqKi8PDwICYmhj59+uDo6Ii1tTXGxsYsXbqU8+fPG/owgOx/nXVtX/XFpSqEqktqXyRpfcGkdZKmkto457eDLGnJmzevOkBUv359jcdU9YFUxdl0pRyrlr1dwC0jOnbsyLJly/D29lansk6ePBlnZ2eqVKmiDoiqxMTE8OzZM3Lnzq114hAeHo6VlZVed1nDwsL0rjljZWWV7kluytfp7fo5gYGBGBkZZfp1cnBwoG7duuzYsYMffvgBMzMzEhISWLVqFfXq1dMKYjZs2BBra2t1v5WV6tWrx6VLl9i2bRtt2rTRuvhTKBQ4Ojqqi7npkt4JX2re9TPzPuW0vkHXhVNa8uXLh4mJCS9fvtQa4tCpUyemT5+uV9/wLkPrOnbsyP79+zl8+DDdunUjPj6e6dOn06hRIwoUKKDuG1T7ioiI4NmzZ9jZ2WldBIeHh+v9vgsNDdW7jkTu3LnTvVgqWLAgDx8+1DkcITAwMNVhDJndxvTp08mbNy/NmjXT6D8TExNJSEjg2bNnWFpavlO/nd3MzMxYvXo1N2/e5PTp01y+fJn58+ezcOFC5syZk25hV9XnpG7dugwcOFDv/WbndOOpnaNIXyF9hUpW9BUpLViwgMWLF9O5c+d0a7b4+fnRp08foqOjWbNmjc6JNDK67bx587JgwQJCQkJ4+vQpVlZWODs7c/r0aUAzqLtmzRri4uJo2bKlxjYsLS354osv2LBhAy9evEhz+J/4dOj6LGXH9aqqH1VNOa9LTv4u/ZCkGZwZMWIEI0aMAJSpo7NmzVIXQ/X29mb8+PF88803WkNuVNE1feZjV62ja1yratnbFz1v3rwhODhY60Ls0aNH5M+fX51FUqxYMU6fPs2bN2+0vnQePXqEjY2NunAeKMdztmjRghYtWgD/FezbsWMHAwYM4O+//yYoKIipU6eq0xJVfv3113SPNbP0Pd6MSuu1f/z4McnJyXrfbfzss8+wsbHRCiBkJVtbW3WNlpR0ZfeAdpAlLSlrzrydxqx67xQsWBAHBwedw9dUs2ZktsAr/Hc3KOWJqb+/PxEREVrp2qAcq9y8eXM8PDy0AqPPnz/XezjYV199laU1ZypXrszWrVu5du2aVnDmxo0blCpVKtN1hECZ/puUlERkZCT58uXj9evXxMfH6zwxVCgUJCcn633SmBGOjo6MHDmSPn360KtXL9auXauRVVaiRAlev35NnTp10i0SmR0y8vnOzLqPHz/WWlfX81V3z7O7b9CVZaerb9B14ZQWVR0JXUMcVCcijo6OmJmZqfuBlFTL3iVD7e2+ITY2ltDQUE6ePMnJkye11t+zZw979uzhu+++0xg+Eh8fz8uXL3X2J7p07do1S+tIVKpUiTNnznDz5k2N4cNxcXHcvXtXr5ptGdmGv78/QUFBtGnTRue2mjdvzhdffMHSpUvT3a++dH0u3j4nUn2WHjx4oJXNktp5j4uLizrb8uXLl3Ts2JFff/1VHZxJLcNBlaUSGRmZ6WzStGTmHC410lcol0lfkTV9hcqCBQtYuHAhnTp14pdffkkzG8jPzw9PT08iIiJYvXp1utkEGdk2KOvmpSwWrJrhM+UkB6q6RKpaHympZsSRmXE+HZkZlZGR61VV5o2Pj0+a21Sd31paWmbLd4n4j941Z44dO6Yzgr5582aNMdYRERFs2bKFPHny6JyW7m0VK1akcOHCeHt7M2DAAI2ZllauXImRkZHOL8dly5ZpFMg9cuQIT548Uc9wAMphDadOnWLZsmUahX1PnTrFnTt3aN++vfqiKTQ0VOv4KlasCPz3Jae6M/P2XZgzZ87oXXw1ISGB58+fY2lpSeHChfV6Duh3vBmVP39+XF1dOXHiBPfv31dfzCsUCpYtWwaQ7l05FRMTE2rUqKH365AZJUuW5PDhw9y8eVN9kqqaAl2XzNacSavTadOmDatWreL48ePq6USTkpLYsGEDefLk0fiCjYmJwd/fn9y5c6tPzBITE4mIiNAICqqoisOmrCUyY8YMnVktX3/9NRUrVmTQoEFaAZDg4GBevHihd/HLrK458+WXXzJlyhQ2btxIu3bt1J+b48eP4+vry9dff62xvr+/PzExMRQvXlydch0SEqJzJoWHDx9y/vx5ihcvrv682tvbY2try+XLl/H19dVo48GDB4mJiXmnoFlaypUrx/r16zUCNKohDB07dmTmzJmsXr1aZ32F1I4xq2Tk852Rde3t7alatSrHjx/nyZMn6i/2+Ph4nZ/FfPnyUa5cOZ0XI1lF1TcEBgaq7zrHx8ezceNGrXUzW0cirSEO1tbWNG7cmCNHjnD37l11fxIVFcWOHTsoWbKkxjDGiIgIdcFL1fs4OjoahUKhFbhMSkpSH4eqILilpSW//fabVjtCQ0OZNGkSDRo0oGvXrlp3fO/cuUNCQoLGUIi0ZHUdidatW7N06VLWrl2rcXG1bds2YmJitGbCe/78OQkJCerPVEa3kVrfNmnSJMzNzRk3bpxedUIyQp9zonr16mFlZcWGDRvo3LmzekhDZGQkGzZswMrKSl1TQte5SaFChciXL59GIF91kyY8PFzjxpixsTHt2rVj48aNHDp0SOtuPCjrz+lTp06XzJ7D6SJ9hfQVKlnRV4CyJs/ChQvp0KEDU6dOTfNGyYsXL/D09OTNmzesWrUq3SBZRraty61bt9i+fTu1atXSOMYyZcpw5swZvL29NbLd3rx5w7Fjx8ibN6/OWT3Fxyll366vjFyvOjs7U65cOXbu3ImHh4fWcFvV8Mb69euTP39+li9fTuvWrdVD6VViY2NJTEzM9hkRPwV6B2dSG9tsZ2dHt27d1FFwb29v/P39mTJlil7Da0xMTPjxxx8ZMWIEXbt2VU8FdvDgQa5fv86QIUO0apzY2dlx5MgRgoKCqFWrlnpqaXt7e3WmDyjTSHft2sXy5ct58eIFNWrU4Pnz5+p1x4wZo163devWVK1aFRcXFwoWLEhwcDDbtm3D1NRUfdetevXqFChQgBkzZvDixQsKFSqEj48Pu3fvxtHRkfv376d7vJmZSlvf482MCRMm0Lt3bzw8POjZsycFChTgxIkTnDlzhrZt22ZoxqOWLVty8uRJjeBJVurevTurV69m+PDheHp6Ympqyp9//plqVkR2RHYHDRrEn3/+yTfffEPfvn1xcHBg37593Lp1iylTpmh0Sjdv3sTT01OdzgzKk6pGjRrRrFkzypUrR/78+QkJCeHo0aP8888/fP755xonHWmd1BYoUEDnibbqToyux3TJ6poz+fLl4+uvv2bGjBl4eXnRtm1bAgMDWb16NaVLl6ZPnz4a648dO5aLFy9qzHSxdOlSzp07R6NGjdR9z/3799mzZw8JCQkamULGxsZ89dVX/Pzzz3Tv3h03Nzf1Z3PHjh3Y2dnRr1+/LD3GlMqUKcOGDRvo06cPnp6erFmzhnLlyuHp6cm5c+eYOXMm58+fp06dOtjY2ODv78/58+fV08Bmp4x8vjOy7rhx4+jduzfu7u54eHiop9JO7bPYsmVLfv/9d4KCgrIl7dXDw4P9+/fj5eWFm5sbCQkJ7N69W+d3UGbrSKTnm2++4fz58/Tr1w8vLy+sra3Zvn07gYGBLF26VOPul2rK45SZaM+ePaNXr17qQsu2trYEBgayb98+njx5QqdOndQn8Kampjo/36r6H8WLF0+1bzA1NdV7to+sriPh5OSEh4cHGzZsYMSIETRq1IhHjx6xfv16atWqpXXB5eXlxYsXLzSK6GdkG6n9nWfOnImVlZXefWRG6HNOlCdPHr799lsmT55M9+7d6dSpE6CcYfLZs2dMnjxZHdxZvHgxZ8+e5YsvvqBo0aIoFApOnDjB48ePGTBggHq/qqD+7NmzadeuHebm5pQrVw5HR0dGjx7N1atXGTVqFK1ataJKlSqYmpri7+/PX3/9RcWKFbVma9JXZs7h0iJ9hfQVkDV9xcaNG1mwYAGFCxembt267N27V+M59vb26iBoZGQknp6evHjxgt69e/PkyRP1bDgq9erVU99Qyci2QZmt8OzZM1xcXLCxseHOnTt4e3vj4ODAzJkzNZ7bp08fdu/ezZw5c7h//z7VqlUjPDycbdu2ERwczMSJE6XezCekcuXKGBsbs2TJEnXJgvRGpmTketXIyIipU6fi5eVFt27d1FNpv3nzhkuXLtGgQQN69+6NlZUVM2bMYPjw4bRs2ZIuXbpQokQJ3rx5w+PHjzly5AgLFy6UgsBZINXgzPjx4zEyMuLnn3/GxMREq26CKu3Uzs6OpKQkfv/9d+Li4ihbtqz65EBfTZo0Yc2aNSxevJiVK1eqo99vT7utYmVlxdq1a5k6dSpz5sxBoVDQoEEDxo0bp/FlbmpqysqVK1m8eDEHDhzgyJEj5M6dm5YtWzJq1CiNQpz9+vXj1KlTrF+/noiICPLnz0+VKlUYPHiw+s5Gnjx5WLFiBbNmzWLDhg0kJiZSqVIlli9fzo4dO/QKzmSGvsebGZUrV2bLli3Mnz+fzZs3Ex0dTbFixfj2228zfEHbunVrpk+fzu7du7MlOFOsWDEWLVrE3Llz+e2337C1taVDhw506dKFVq1aZfn+dLGzs2Pz5s3Mnj2bjRs3Eh0dTdmyZZk3b55emSoWFhZ4eHhw6dIlzpw5Q0REBNbW1pQtW5aJEyfSvXv3d/7S3b17N5UqVcryoEtG9OvXD1tbW9asWaMOWrVs2ZJvv/1WryFNjRs3Vs8+8erVK5KSknBwcKBly5b069dPK7Lfq1cvChQowIYNG1i3bh2xsbHY2dnRunVrvvrqqwxlqWVGyZIlNQI0q1evxtnZmaVLl7Jp0yZ2797NggULAGV6e+XKldUXZNkpI5/vjKzr6urK6tWrmTNnDsuWLSN37ty0aNECd3d3nX1/t27dWLx4Mfv27cuWQFn16tWZPn06S5YsYdasWRQsWBB3d3cqVaqkLuqY3UqUKKHuG5YtW0ZCQgIVKlRgxYoVel3gOTg40KFDBy5fvszRo0eJiorCxsaGChUqMGzYsAx9p6Zmz549NGnSJMuzRTLi+++/p0iRImzdupWTJ09iZ2dHr169GDlypN53nrNiG9nl22+/5fLly2zatImQkBBKlSql85xINfnAypUrWbRoEaC8g7lo0SKNC+KmTZsSHBzMoUOHCAkJwcLCghIlSjBlyhS6du2qXq969ep8++23bNmyhR9//JHExERGjBiBo6MjuXPnZvPmzaxatYpDhw5x7NgxTExMKFSoENWrV9d5npURGT2HS4v0FdJXqLzr5/zWrVuAMjt37NixWo/XqlVLHUAJCwtTB6xSu2mybt06dXAmI9sGZYbZ+fPnOXv2LDExMRQuXJhevXoxePBgrbILRYoUYfv27SxatIi///6bAwcOYG5uTvny5Rk3bpzeQ83Ex6Fw4cJMnTqV5cuXM2nSJBISEujUqVOao1Myer3q4uLCjh07+P333zl48CBbtmzB1tYWFxcX9WQ/AA0aNGDHjh0sW7aMPXv28Pr1a/LkyUPx4sXx8vJKtz6T0I+RIpVKac7OzhgZGXHjxg3MzMy0ptdK+TRVlN/IyCjdMWvvqnfv3rx48YLjx49n635yig/teJctW8bSpUs5duyYVsqbyH4+Pj506tSJRYsWZWisvBDZbeLEiZw9e5ZDhw5laMYQkTWOHj3KV199hbe3d6rF/ETmqerwpaxfJjJH+grDkr5CCCEMJ9XQ8927d/Hx8VFXQ797967Gv2nTpgHKSLJqWXYHZkTO16dPH/LmzcuqVasM3ZRP0oIFC6hZs6YEZkSO8/XXXxMWFoa3t7ehm/LJUSgULFy4kI4dO8rFlsjxpK8wHOkrhBDCsPSuOSOEPszNzT+YLJ+P0e+//27oJgihU/78+bly5Yqhm/FJMjIy4o8//jB0M4TQi/QVhiN9hRBCGNY7B2eePHlCYmIiNWrUwNzcPCvaJIQQQgghhBBCCPHJSLXmzNtWrlzJpUuXWLJkiXrZN998w4EDBwBlsVbVDEJCCCGEEEIIIYQQQj96Z87s379fPVUjwN9//83+/ftp06YNTk5OLF68mBUrVjBu3Di9dx4fH89vv/3G7t27efPmDc7OzowePTpD0zcDDBw4kL/++gtPT08mTJiQoeemVKFCBZKTk2WOdvFJioyMxNjYmDt37hi6KdlO+h4hco5Pqe/JSaTfEZ866XsMQ/oe8SlLr9/Re87JFy9eUKZMGfXvx44do0CBAsyePZtBgwbh5ubGiRMnMtS4cePGsXbtWtq3b8+ECRMwNjZm4MCBXLt2Te9tnDx5ksuXL2dov6lJTk5Gz0QiIT46CoWC5ORkQzfjvZC+5xOgUEB0tPJfFr222bBJwafV9+Qk0u+IT530PYYhfY/4lKXX7+idORMTE6NRU+b8+fPUrVtXPY12mTJl2Lx5s94Nu3nzJvv372f8+PF4eXkB0LFjR9q2bcvs2bPZuHFjutuIj49n2rRp9O/fnwULFui979SoIrhZdcElxIekRo0ahm7CeyF9zyfi6VMoVUr585MnULJkTtyk4NPpe3Ia6XfEp076HsOQvkd8ytLrd/TOnHFwcOD+/fuAMovm4cOH1KxZU/34mzdv1NNu6+PQoUOYmprSrVs39TJzc3O6du3KlStXCAoKSncb69atIzY2lv79++u9XyHEp036HiGEEEIIIUROo3fmTOPGjdm0aRNJSUncuHEDMzMzvvjiC/XjDx48oEiRInrv2MfHh1KlSmFtba2x3MXFBYVCgY+PDwULFkz1+cHBwfz+++9MnDgRS0tLvfcrhPi0Sd8jhBBCCCGEyGn0Ds4MHz6ce/fusWnTJszMzPj+++/VMzPFxsZy5MgRunbtqveOg4ODcXBw0FpeoEABgHTvXs+dO5dSpUrRoUMHvfcpcp7HwZHsu/mSi09CefoqisQkBfltzKjwWR6aVyxEI8cCmOXSO8FLiHRJ3/ORi4mBo0fh35kEAZgzB9q3h0aNIAMZnkII8T5sv+zLsr8eU6+sPRPbVsDY2MjQTRJCiI/Wo+BIBq+/wuuo+CzftoWpCRPbVaBFxUKZer7ewZm8efOydu1aIiMjMTc3x9TUVOPxDRs2UKiQ/o2IjY3V2gagrmsTFxeX6nNv3rzJH3/8wfr169U1b8SH5UlIFLP+vMuBWwFajwW8ieW2/xu2X/GjqJ0lX39Zjq7Vi8rfWmQJ6Xs+UhERMH06LFkCoaGajy1cqPxXqBCMGqX8l6KGmhBCGMrDoAjGed8iKVnBg6BIKnyWh+41ixm6WUII8dHaesmXh0GR2bb9i09Csz84o6Jr2jMLCwucnZ0ztB0LCwsSEhK0lqsujMxTOXFWKBT88ssvNG/eXAp5fQhev4YdOyAgAAoVQtGlC+vvvWHqAR9iE5SVqj/La0HzCg44FcqDeS5jXobH8PfjV/z96BV+r2P4346b7Lnhz+xuVXDIY2HgAxIfOul7PkKHD0O/fvDihfL3XLmgcmVQzb5VqRLcvq3sh8aNg5UrYf16qF3bcG0WQgiUFwlJyf/NXLPhwjMJzgghRDa68ER5E69N5c9oVTlzQZTUWJqaUK+sfaafn+HgzNOnT3n27BmvX7/W+XjHjh312k6BAgV0Dh8IDg4GSLXmw5EjR7h58yajR4/Gz89P47HIyEj8/Pywt7fHwkIu4g1KoYCJE2H2bDAxgehoFFZWJA7/irAaHYlt0IvCtpaMbeVMW5fCmLyVwjuiSTmehkQx+/A99t18yekHIXRYeJYVfWpQxCpvyngPXbuCnZ2BjlN8cKTv+YgoFDBjBnz/vfJnCwv43/9g+HDl8CbV1Ep794KxMcybp8ygefAAGjaERYtgwADDHoMQ4pN26LYyg/jz0vn5+/ErbvqF4x8WQ2FbqWkmhBBZLSoukX9ehAPQtXpRGjunXmfSEPQOzoSEhDB27FjOnTsHoHN+eiMjI72DM87Ozqxfv56oqCiNwpw3btxQP66Lv78/ycnJ9OnTR+sxb29vvL29Wb58OQ0bNtSrHSKbTJwIc+dCbKx6kVFUFKbAgEt/4OiQm7qbfyePhfbwEpWS9tYs7FmNti4B/G/7DV6Gx/KFWzARl/JgmsuI6GiwsoKRI+Hbb2HyZJCRJiI90vd8JBQKZSBmzhzl7zVrwtat/wVkgoKgc2flz1ZWULCgMjjTrx906wb37sHAgRAWpuxA9GBlpblJIYR4Fy/DY/ANjQHgfy2d8Fx5kci4RC49DaVDVf0n2RBCGM78Yw/4/eRDkpP1W79AbnPW9K1JOYfc2dswodPV569JSlZgZATVS+a8u/t6B2cmT57MuXPncHd3p06dOtja2r7Tjlu2bMmqVavYvn07Xl5eAMTHx+Pt7U21atXUBTv9/f2JiYmhTJkyADRp0oSiRYtqbW/48OE0btyYrl27UrFixXdqm3hHr18rM2ZSBGZSskqMo8WhDRjFzgIL23Q317JSIUoXsOZL9xBCzxdDkWhE/L9lQaKilP/Pnav8/+efs6D94qMmfc9H4rvv/gvM9OypHKqUMmupYEHYuVP7eZUrw8WLygDN4cPKAI+JCYwene4uU9ukEEJkxqWnyix0KzMTXIrkxbW4LacfhHDl2WsJzgjxgVh77qm6VIM+XoTF8M32G3gPrUsuE5n05H27+O+Qpgqf5UkzScBQ9A7OnDt3Djc3NyZOnJglO65SpQotW7Zk9uzZBAcHU7x4cXbt2oW/vz/Tpk1Trzd27FguXrzIvXv3AChevDjFixfXuc1ixYrRtGnTLGmfeAc7digvdtJgZGIC27cr71zroYBZboL/tkGRqDs1JjpaGQ/65ht4x7ih+MhJ3/MRWLxY+YEH8PKCFSvS7XM05MkDu3crAzT79ik7jpIloVOn7GitEELodO25MjhTtZgtuUyMcS1ux+kHIVx7HmbYhgkh9BISGcerf2f8+aVTJYrapZ1WGxAewzjvW9z0C2fZ6ccM+6Ls+2imSEFVb6ZmyXwGboluegdnkpOTM1z0Nz0zZ87k119/Zffu3YSHh+Pk5MSyZcuoXr16lu5HvGcBAcpoSVqio5Xr6WnHDshlYkTq8+gor80yEO8RnzDpez5gR4/CV18pf+7QIeOBGRULC2WH8eWXcO4ceHjA2bPg6pq17RVCiFQ8CFTOFlLhszwAVCys/P9BUARJyQqtenxCiJzlXkAEoCyr0KVaUSxM0z8f8XkZwZpzT/n1yAOalXeQ4U3vUVxiEtd9wwCoXeoDD87UqFGDu3fvZunOzc3NGTt2LGPHjk11nfXr1+u1LdXdbZEDFCqkLMigGnOki5WVcj09ZUO8R3zCpO/5QAUEKIcwJSVB1aqwYUPqgZmAAPD0VP68bp3u/sbCAv74A+rUgcePoUcPuHIFcus+UdJnk0IIoa/7gcoLO8d/L85U/8cmJOMbGk1Je+tUnyuEMDxVcKZkfmu9AjMA37V04vjdIJ6HRvPtjpvsHPK5DG96T276hROfqByCVjOHBmf0fieMGzeOI0eO8Oeff2Zne8THoGtXFElJaa+TlKQcUqAnVbwnLRmM9wghPiTJydCnDwQHQ968yqCKjU3q68fGwpEjyn+p1L8CoEABZWqemZlyFqdhw5TFht9hk0IIkZ7w6ASCIpT5wGUdlH1Z8XxWmOdSnprf+zdwI4TIuVQBVqcMZL9YmeViRhcXAG74hrHyzJNsadvHICoukakHfDh462WWbE9Vb6ZMAWvsbcyzZJtZTe/MmZ9++glra2tGjRpFwYIFKVasGMbGmrEdIyMj1q5dm+WNFB8YOzuOtu5NvT3rsErUMRDJygrGjMlQcZiuXZWzMqUlg/EeIcSH5LfflAV8AZYvhxIlsm7brq7KGjYjRyqzcdq3l85ECJGtHgT9F3wpV1AZnDExNqJsQRtu+7/hfkAELSrKHSchcjJVENWxUMaGJn1eJj+en5dg3d/PmHPkPl+Wd6BswTRuOH2CFAoFP/zxD7uuvcDC1JgvnApiaZaJYewpqOrN1CqVPyuamC30zpzx8/MjISGBzz77DBMTE/z9/fHz89P45+vrm51tFR+IP28HMLBse1bU7EiSqdl/D1haKocRjBmjnPc6A+zslLPdppY9Y2KWxDffKKQYsBAfo6dPYcIE5c+qqbCz2ogR0Lr1fz+Hhmb9PoQQ4l8PgpT1Zj7La0HuFDOGlCmgvEB7+iqdsdxCCINSKBTcD8h45ozK2JbOFLWzJD4xmf/tuEFSsu6s3U/Vzqsv2HXtBaAc6nnmYcg7bS8xKZkrT5Xndjm13gxkIHPm+PHj2dkO8ZF4E5vAhF3/gJERF/uNZsSicVDt3wKbP/4IQ4dmejolVTxn1iyI+zchx9wimfhEBdbVH1OpvTmgezYdIcQHSqFQDjWKiYHChWHevOzZj5ERLFkCFStCUJAyiLxmTfbsSwjxyXv2b/ClZH7NujLF8ynvQj0PTaNunxDC4F6ExRAVryzj4FQo41kv1ua5mNnFhZ4rLnDteRirzjxhYMPSWd3MD9LDoEh+/OMfjWXHfAJpVsEh09u88/KN+u9VKwcHZ6T6kMhScw/fJyQyDktTE2Z0dcHYzva/B93d32meayMj+PlnuHDhv2X/N9GYQUtuY9fwPlMP+BAckdZ8TkKID862bXDwoPLnBQuU02Bnl2LFYMYM5c9r18LJk9m3LyHEJ833tTI4Uyyfpcby4vlVwRnJnBEiJ1PVmzEzMaZE/swV765b1p5edZQ3lmcfvsej4Mgsa9+HKjYhiRGbrhKTkEQRW0u+aqKcbvyoTxDJ75BdpKo3U9TOksK2lumsbTgZDs74+fmxfft2Fi9ejJ+fHwDx8fH4+/sTHx+f5Q0UH45/XoSz7u+nAIxqWo4i2fTGz5v3v5/d3WFKDyfyWpryJjaRKfvvZMs+hRAGEBkJo0crf27fHjp1yv59Dh4Mn3+u/Pnrr5XFrIQQIov5/Rt8KWanOV5blTkT+CaO2ATpf4TIqe4FKAMppQtYY/oOsy2Na1WeIraWxCUm892Om5/88KZf9vtwNyACE2Mj5rtXpWv1ogCERMZxwy8s09v9r95Mzs2agQwGZ2bNmkWLFi348ccfmT9/vrrGTHx8PG3atGHTpk3Z0kiR8yUnK4s2JSuUhe361S/13vZtb2PO962dAdh93Z8rz6RWhBAfhVmz4OVLZa2qBQuU6XPZzdgY5s9X/nzzJqxYkf37FEJ8cnxfxwBQLJ9mcKZE/v9+95XsGSFyLPVMTRksBvw2G/P/Zm+68uw1a849fdemfbAO3nrJ+vPPABjTzJHqJfJRIr+1umj6UZ/ATG03OVnBpQ+g3gxkoObMli1bWLlyJb1796Zx48b069dP/ZiNjQ1NmjThxIkTeHl5ZUc7RQ73x/UXXPcNA+DnjpXeKYKcGd2qF2P9+Wf88+INk/f5sGtoXYyN38OFnBAiw/5+9Ir4xOQ01zELfEmtmbMwAZ55DeVpjCXcC9Z7H7lex1KqW28AngTEkhin+VyzXMZ8XiaVav01aoCXl7LmzA8/QI8eYGuLjQ0MHKhcJa1ZvIUQIi1RcYmERimzzd8e1uSQ2wKzXMbEJybzPDSacpkoNCqEyH73/i0G7JgFn9H65exxr1WczRefM+vPuzRxLkgp+8wNlfpQ+YZG893OmwDUL2vP0EZl1I81reDAg6BIjt4J4n8tnDO87QdBkYRFJwA5e6YmyEBwZtOmTTRr1owJEybw+vVrrcednJy4dOlSljZOfBhiE5KY/ec9ANq6fEad0u//TW9sbMTEthXpvvRvbviGseeGPx1di7z3dggh0hefmMyLsJg016k9cwomsTHE5CvAhW4DSExnfS1GVjz7Zsp/v7/1/HSHXU6dCjt2QEgITJsGM2Zgbw/LlmWsGUII8Ta/1//1R28PazI2NqKYnSWPgqPURYOFEDlLYlIyD/+tD5OZmZp0+b61M6fuBeEfHst3O26wddDnn8yN5oSkZEZuuUZEbCL2NmbM7VFF49iblndg8clH3AuMwDc0WivjMD0Xn7wCoEBuc0rmz9hz3ze90xuePn1K3bp1U33czs5OZ9BGfPzWnnuKf3gspiZGfJeJaGZWqVUqH20qfwbA9IN3iYmXsdpCfIhsH9yh9IEdANwcNIZEawOkqXz2GYwdq/x5wQLl8CohhMgCquFK5rmMKZDbXOtxVbHKl+EZDEoLId6Lp6+i1RnA7zqsSSW3hSnT/h3edOnpa9b+W8fzUzDn8H2uPQ8DYG73qhTMbaHxeNVituS3NgMyN7QpZb0Zo/cxRP4d6B2cMTc3JyYm9S8Jf39/8mTnLBoiRwqLjmfRiYcA9KpTQj3LgKGMa+WMmYkxAW9i1cWJhRAfFpdlczFSKAgr7cjjtt0N15Cvv4YCBZTTeP/yi+HaIYT4qKhmaipqZ6nzQqFwXlVwJva9tksIoR9VvRkrM5MsnQClkWMBetQoBsCMQ3d5GhKVZdvOqf66H8ySU48AGPpFGRo6FtBax8TYiCbOBYGMB2cUCoV6pqacXm8GMjCsycXFhSNHjmjUmlGJi4tj9+7dVKtWLUsbJ3K+RSce8iY2kdzmufiqSTlDN4di+azwqFOc1WefsvjUI9xrFyePhamhmyWE0FM+n5sUPX0EgFsDRqPIpffXlAbL4EAafav8vjo1exUxBRwyvpHcuWH8eBgzBpYtw7/3WNoNU5407d0LhQtnqmlCiE/ci3+HNRW1031D6zNb5V1jCc4IkTOlrDeT1UOPJrQtz18PgnkZHsvILddoUbGQXs/Lb21Gk/IFtbJOcrKgiFjGbLsOQLXitoxp5pjquk0rOLD9ih8XHocSHpNAXkv9ru+evYomKCIOyPkzNUEGgjP9+/enf//+/O9//6NLly4AhISEcPr0aRYsWEBgYCBz5szJtoaKnOdleAxrzykrag9tXIZ8/6abGdqwL8qy9ZIvYdEJrDz9hNFpfNCFEDlL5RXzAHhdrgK+X7TM9HaME+LJd+8f9c+ZNnQozJ0Lfn7Ez/qNq1dnAxD/DpsUQnzaXr5RBl0+y6v7Ikq1/GVGa20JId4L9UxN2VCwO4+FKVM7V6bv6kvc9Avnpl+43s81NvqvzEOLSoVydKAmOVnB6K3XCYmMJ49FLn5zc01zQpkG5ezVxdJP3Q+mfRX97pCpsmbyWpriWDDnF1jXOzhTt25dfvrpJ3755Rf27dsHwHfffQeAqakpP//8M66urtnTSpEjLT75iPikZArkNqdv3fc3dXZ6CuQ2p2+9kiw68YiVZ57gVbckdjkkcCSESF3+29cpcvY4ALcGjFJOa21oFhYwcSIMGgTe3sBsQ7dICPGBC/o3OOOQJ7XgjHKYRGBEHEnJCkw+kaKgQnwo7v0bnHHMonozb2vsVJDxrZw5fCcQhUKR7voK4GFgJBFxiZx/HMr5x6FM3HOb2jk4ULP41CPOPlQW6p3Z1SXdIr9WZrmoX9ae43eDOHonUP/gzL9TaNcsme+DKLCcoXzxHj160KRJEw4dOsTjx49RKBSULFmSVq1a4eCQiZRx8cF6GR7Dlou+AAxpVAZLMxMDt0jToAZlWPf3MyJiE1ly6hHjW5c3dJOEEOmovHwuAKGOFfFr2NzArUnBy0tZc+ZZ2tN/CyGEPgLSCc4U/ndYU1KyguCIOAqlkmEjhHj/YhOS1LVgsiNzRmVwozIMTjGddHriEpM48yCE/bdecuR2YI4O1Fx+GsrcI/cB6F2nBC0rfabX85qWd+D43SBO3AsiISk5zUwblQ+p3gxkMDgDUKBAAXr37p0dbREfkCUpsmY8ahc3dHO05LUyZXDD0sw+fJ+1fz9lYMPS2Ntoz4gghMgZ8t++TuHzpwC4NXAM5KRq+qam8N13MHymoVsihPjAKRQKAt8o6x8Uyqv7vKRQ3v8KjPqHx0hwRhhUfHw8v/32G7t37+bNmzc4OzszevRoPv/8c0M3zSAeBUeS/G8yi2MhA8wmmQrzXCZ8Wd6BL8s7aAZq7gQSEasZqCmV39qgWSSB4bEkJStwLpSbCW30v4H+ZfmCsAsiYhO59DSUumXs01z/ZXgMz/+dHe9DqDcDGQzOxMbG4uvrS2RkJDY2NhQrVgwLC/nC+NQEhMey+d+smcENS2NhmrOyZlT61ivFijNPlLVnzjxhbEvDTfMthEib86blgDJr5kX9Lw3cGh369YP/Ww0hhm6IEOJD9jo6QT0Fb2qZMzbmuchtkYuI2ERehsVCzrsHJj4h48aN4/Dhw3h6elKiRAl27drFwIEDWb9+/SdZ0kJVb8bOypQCOfTG79uBmrMPQ9h/M4DDdwKIiE3kcQ6YBcrS1ISFPatl6DrSIY8FLkXzctMvnKN3gtINzqiyZqzMTKhY+MOYVVqv4My1a9dYsGABFy9eJCkp6b8n58pFrVq1+Prrr3Fxccm2RoqcZfHJh8QnJWNvY45H7RKGbk6qrM1z0a9eKeYeuc/6v58xpGEZ8lrJzE1C5DTW/r4UO3EAgLs9B+asrBkVCwsYOBCm/ft7cDCU1J7uUQgh0hL45r8ZmAqlEpwB5XTa92IjeBkuRYGF4dy8eZP9+/czfvx4vLy8AOjYsSNt27Zl9uzZbNy40bANNIB7AZGAcqYmo5x4vvIW81wmNHF2oImzA3GJlTj36BV+/2aTGFKNkvkoWzDjmUdNyztw0y+cIz4B/Ni2fJp/A1VwpnoJO3LpMQQqJ0g3OHPgwAG+++47EhMTKVy4ME5OTtjY2BAZGcm9e/c4e/YsFy5cYM6cObRo0eJ9tFkYUMqsmSGNSue4WjNv61O3JMv/ekxEXCJrzj3l66aGn+5bCKHJcfsajJOTiS5QiOdftjF0c1Ln4fFfcGbVKqg51qDNEUJ8eFT1ZkxNjLCzSn2ygkJ5LbgXGCHTaQuDOnToEKampnTr1k29zNzcnK5duzJv3jyCgoIoWLCgAVv4/qlnasqmYsDZyTyXCY2dPuy/V9PyDsw9ch/f0BgeBEXimEbdH1VwplbJD2NIE6QTnAkJCeHHH3/E3t6eadOm6RxbeO7cOcaPH8+ECROoUaMG+fPnz7bGCsNbfvrxB5E1o5LX0pTen5fg95OPWHX2Cf0blMLGPMOlloQQ2SRXVARld28B4F43L5JNs2ZmtXibPNzuM1z9c1bIW9ia8Q3OwOm/yLthCUwbDLa2WbJtIcSnIfDfYEvB3BZp1nxQFQWWzBlhSD4+PpQqVQpra2uN5S4uLigUCnx8fD654My9gH9nasrGYsAideU/y00RW0tehMVw5E5gqn+HV5FxPAhSZjl9KPVmANLM79m5cydxcXEsX7481aJPdevWZdmyZcTExODt7Z0tjRQ5Q1h0PJsvPgegf/1SOT5rRqV//VJYmBoTHpPAhvPPDN0cIUQKZfZsxTQ6kkQLSx527Jll203Ik5cbQ7/jxtDvSMiTN0u2aWcHU3dXZKr1VOwifWH58izZrhDi06HKnEmvyG+hPMqiwAGSOSMMKDg4WGfwpUAB5bDeoKCg990kg4qITeBFmDJg+iFmznwMjIyMaFpe+Z486hOY6nqXnr4GwMzEmCrFbN9H07JEmsGZ8+fPU79+fcqVS3soiJOTEw0aNODcuXNZ2jiRs2w4/4zo+CRszHPhUefDqU6XP0WWz4rTj4lNSErnGUKI98EoMRGnrasBeNS2e5YFUbKVnR3076/8ef58SEgwbHuEEB8UVc2ZtOrNwH8zOalmdhLCEGJjYzE11a7XaG6ufH/GxX1a78/7gZHqnyVzxnC+LO8AwHXfMIIjdL8HVUOaqhazzbGT1+iSZnDm4cOHVKtWTa8NVatWjYcPH2ZJo0TOE5uQxOqzTwHwqF2cPBYfVmHdQQ1LY2ZiTEhkPFv+zf4RQhhW0VN/YhPgh8LIiHs9+hm6OfobNQqMjcHPD7ZtM3RrhBAfEFWwpWCetGd5Uc3kFPgmlmTVvL1CvGcWFhYk6LgJoQrKqII0nwpVvZnP8lqQ1/LDuhb6mNQunQ8b81woFHDiru7srYtPXwEf1pAmSCc4ExERgb192lNUqdjb2/PmzZssaZTIeXZc8eNVVDxmJsb0q1/K0M3JMIc8FnSpXhSAFWeekJiUbOAWCSHKb1YOC/Jr2JzIYiWzdNuWQS9p37Ee7TvWwzLoZZZs088PSpaEko1L4ddqoHLh7NmgkAsnIYR+VMOU0suc+SyvclhTYrKCkKhPKztB5BwFChTQOXQpODgYQOrNCIMwz2VCI0fl0LojOoY2vYlN4I6/Mi7xUQVnUktl0yVXrlzEx8dnSaNEzpKUrGD56ccAdHItor6b86EZ1LA0Rkbg9zqGg/8EGLo5QnzS7G9dwf6fawDcdR+Q5ds3TkzEJsAPmwA/jBMTs2SbiYnw7JnyX2L/wcqF16/DiRNZsn0hxMcvUO+aM/89LnVnhKE4Ozvz5MkToqKiNJbfuHFD/fin5EOeqelj07SCMjB4+kGwVsmKK89ek6wAE2MjqpWwM0TzMi3dCb8/hPnbRfY69E8Az15FY2QEAxuWNnRzMq2UvTUtKhQCYOlfj1DI3W4hDMZ58woAXpV3IbhKTQO3JhNcXaFePeXPc+YYti1CiA9CXGISr6KUNzLTu9GVxzIXlv/WSZDgjDCUli1bkpCQwPbt29XL4uPj8fb2plq1ajg4OBiwde+fKjgjmTOG19ipICbGRsQmJHP2YYjGY6p6M5UK5/ngZulNt7UTJkxg4sSJ6W4oKUmKrH6MFAoFS049AqBZeQfKFrQxcIvezaBGpTl0O4B/Xrzh70evqFtWv2F7QoisY+H3jKInDwH/Zs18qDcBvv0Wzp6FAwfgzh2oUMHQLRJC5GApC1emF5wxMjKiUF4LnoREqbNthHjfqlSpQsuWLZk9ezbBwcEUL16cXbt24e/vz7Rp0wzdvPcqJDKOkEhlcNVJgjMGZ2tlRo0Sdlx4EspRn0B1kWD4LzjzoQ1pgnSCMzVrfoB3M0WW+vvRK269CAdgcKMyBm7Nu6tW3I5aJfNx8WkoS/56LMEZIQygyPoVGCcnE1XwM543aW3o5mReu3ZQtiw8fAhz58KKFYZukRAiB0sZZEmv5gyAQx5znoRE8VIyZ4QBzZw5k19//ZXdu3cTHh6Ok5MTy5Yto3r16oZu2nulypoxMuKDv1n9sWha3uHf4EwQvyQrMDY2IjYhiZt+YQDUKpXfsA3MhDSDM+vXr39f7RA51OJ/s2ZqlcxH9Q9szF5qBjUszcWnofx1Pxifl28o/1keQzdJiE9HeDiFtm8A4H53LxS5PuDZDkxMYPRoGD4c1q+HX36BTyzFWwihv4BwZeZMHotcWJqlP7WrqihwgGTOCAMyNzdn7NixjB071tBNMaj7/xYDLpHPSq/Pr8h+TSs48MsBH4Ij4rj1IpwqxWy59jyMhCRl6YqaJT+8a9d0a86IT9dt/3BOP1CO4Rvc6MOtNfO2Js4FKVPAGoBlfz02cGuE+MSsWEGu6CgSLK142MHd0K15d15ekC8fxMfD4sWGbo0QIgcL0LMYsIpq6JPUnBHC8O4FRgJSbyYnKWVvrb6mO/rvrE2qIU3OhXJja2VmsLZllgRnRKqWnlIGLhwdbGjs9PFMlWdsbMTghsohWntv+PMiLMbALRLiE5GYCL/9BsDjdj1IyJ3XwA3KAlZWMGSI8ufff4dYuYgSQugW9G9wRt9ZLz/7N4gjmTNCGN69AOXUzDJTU87StIIyY/nInX+DM09fAR9mvRmQ4IxIhW9oNPtvvQRgUMMyGBt/oAU7U9HBtTAFc5uTmKxg1Zknhm6OEJ+GnTvB1xeFkRF3e/TL1l3F58nL1a8mcPWrCcTnyZogkJ0dzJ6t/GeXMlN2+HAwNYXgYNi4MUv2JYT4+ARkMDiTMnNGZpgUwnAUCgX3JXMmR2r2byHguwERPAmJ4sqz14AEZ8RHZsXpxyQlK/gsrwXtqxQ2dHOynHkuE/rWKwXAlovPCY9OMHCLhPjIKRTqKadDmrYmqkjxbN1dgk0e7noM4q7HIBJssqauVN688M03yn95U8Z7ChcGNzflz/PmKY9VCCHeEqgOzpjrtb5q+FN0fBIRcYnZ1i4hRNr8w2OJ/Pcz6CyZMzmKa3E78lkrhy/9evQ+sQnJgLJe6odIgjNCS2hUPFsv+wLQv34pzHJ9nG+TnrWLY21mQlR8EhsuPDN0c4T4uJ07B5cuAeDXd4iBG5MNRo9W/n/7Nhw5Yti2CCFypKA3yoLA+szUBP8NawIIlLozQhiMqhiwqYkRJe2tDdwakZKJsZG6/Mbu6/6AshZNQT372Zzm47zqFu9k3d9PiU1IJo9FLtxqZe/dbUPKa2lKz9rK41t99imxCUkGbpEQH7G5c5X/16rFG9dahm1LdnB1hS++UP6sOlYhslBQUBCzZ8+md+/euLq64uTkxIULFwzdLJEBqswZfS8a7G3MMfl3WLnUnRHCcO79O412mQI2mJrI5XNO06yCZm3UDzVrBtKZSjul2NhYLCw+zAiU0F9MfBJrzz0FoFedEtiY6/0W+SD1q1+K1WefEhIZx65rL3D/iINRQhjMo0ewa5fy5zFjwCj7a1hZvfSjjUdzAPZvPEz0Z0XfeZvPnkGlSsqf//kHSpR4a4UxY+DkSfjzT2UGTcWK77xPIVSePHnC8uXLKVGiBE5OTly7ds3QTRIZEBmXSFS88iaQvjVnTIyNKJjbnJfhsbyUzJlP0qV/M07TU7NmzWxuyadNlTkj9WZypgblCmBmYkx80r9Dmj7QejOQgeBM/fr1adOmDd26daOS6uxUfHR2XPHldXQCZibGeNUraejmZLvP8lrSoWoRdl71Y9lfj+leo5j6LpUQIovMn6+sw1K8OHTpAo9eZ/sujRQKTKOj1D9nBYUCIiP/+1lLmzZQrhw8eAC//grLl2fJfoUAqFixIufPn8fOzo6jR48yfPhwQzdJZEBgiswXfWvOKNe14GV4rAxr+kT17t0bIz1uaPj4+LyH1ny6VJkzMlNTzmRtnou6ZfNz8l4w8IkEZ6pVq8aOHTvYtm0bjo6OdOvWjfbt25MnT9YUWhSGl5iUzPLTypmLulQvQsHcn0am1JBGpdl51Y8nIVEcuRNAy0qfGbpJQnw8wsJg5UrlzyNHQq6POBvP2BhGjVLO3rR+PfzyCxQsmO7ThNCHjY2NoZsg3oEqOGNkpByupC9VfZqXMqzpkzRt2jStZYmJifj6+uLt7U3RokXp0aOHAVr26UhKVvAgSGZqyulaVizEyXvBlMhvRVE7S0M3J9P0PktetmwZgYGBeHt74+3tzZQpU5g1axZNmzalW7du1KlTJzvbKd6DQ7cDeB4ajZERDGhQ2tDNeW/KOeSmafmCHPUJYvGpx7SoWEivuxRCCD0sXw5RUWBjAwMGGLo12a9PH/jhB3j9GpYsgYkTDd0iIUQOoCoGnN/aPEM1K1QzNknmzKepU6dOqT7Wv3//NB8XWePZqyjiE5XDZZwkOJNjda9RjGQFVC1m+0Ffx2WoopGDgwNDhw7lyJEjrFmzhmbNmnH06FH69u1Ls2bNWLJkCYGBgXpvLz4+nlmzZlG/fn1cXFzo3r07f//9d7rPO3z4MKNGjaJJkyZUqVKFli1bMmPGDCIiIjJyOCIFhULB0lOPAeV88WUKfFp36AY3KgPADd8wzj8ONXBrhPhIJCQohzSBMjCjMf/0R8raGgYPVv68aBHEygWVEOK/gr4ZGdIE/wVnpCCweFvevHnp1q0bK1asMHRTPmr3/x3SZGlq8kFnZHzsjI2N6Fm7OBUKf9ijejJdbrpOnTrMnj2bM2fO0K5dO3x9ffntt9/48ssvGTZsGDdv3kx3G+PGjWPt2rW0b9+eCRMmYGxszMCBA9Mtcvfjjz/y6NEjOnTowA8//ED9+vVZv3497u7uxMXFZfaQPml/P37FrRfhwH+Bik9JzZL5qF7CDoClfz0ycGuE+Ejs2AF+fsrhPiNHGro178+IEcrhW0FBsGmToVsjhMgBAtXBmYwNGVcNawqQzBmhQ548efD19TV0Mz5q9wJUQ5psMJa6lCKbZXrw/+vXr9m9ezc7duzg4cOHWFpa0rp1a8zMzNizZw8nT57kp59+onv37jqff/PmTfbv38/48ePx8vICoGPHjrRt25bZs2ezcePGVPc9f/58ateurbGsUqVKjB07lv3799O5c+fMHtYnS5U1U6OEnTpI8akZ3LA0g9Zf4eS9YHxevqH8Zx925FUIg1Io/ptSunNnKFXKsO15n4oUATc32LAB5s2Dvn3fywxVQoicSzWsKbOZM6+i4olLTMI8l0mWt018mOLi4tizZw/29vaGbspH7V7gG0DqzYj3I0PBGYVCwenTp9mxYwcnTpwgISGBChUq8H//93+0a9dOXaxuzJgxfPXVV/z++++pBmcOHTqEqakp3bp1Uy8zNzena9euzJs3j6Cg/2/vvsObrtoGjn+TdA+6KGV0MTqYBcoGF6AgDqYgCFV4QFBAQXgeQAUVFF6VDSIyFChTRgEXyhBUZAtFLLOU0TJaunfaJu8foYXalZak6bg/19WLX38rd0tzcnLnnPtEU6uIQor/TswAdO/eHYDwcBn1UFrnbydx6JKuunV1HDWTq3tjNxrVsuNKdApfHQpn4cutTB2SMBK1Ws2iRYvYtWsXSUlJ+Pv7M3HiRDp27Fjsdb/88gs//vgjZ8+eJTY2ljp16vDUU0/x5ptvYm8vL9r5/PEHnDyp237nHdPGUogaVkYuTDxxoi45c+4c7NsHTz9t3McTQlRouSNnSrvYQu2HRtpEJ2Xi4Wxj0LhExTZt2rRC9ycmJnLmzBni4uL43//+V85RVS8X78hKTaL86N07XbhwITt37uTu3btYW1vTt29fBg4cWOiy2vb29vTp06fIBgV0S77Vr18fW1vbfPtbtGiBVqvl/PnzRSZnCnPv3j0AnJyq56iPR7HyN92omYautnTzr74riyiVCl5/vAH/23aW787eZnIPP9ydpBNUFU2dOpVffvmFoKAgvLy8CAkJYdSoUQQHB9OqVdFJuenTp1OrVi169+5N3bp1uXjxIsHBwfz+++9s374dS8vSfSJapeWOmunQAUpIehlDpqMzR96fm7f9b+YqJUfCY1FnazBXKfBwtqGGlTkX7iSRkaUp9J5pqTBltu7/+HxcJteLm0Vr60FA2044nviTuFn/x9+eLQuc4lbDkvi0rLxCg6ZiYaakY0MXk8YgRFV3N7ls05osNVYkn/EgJ9WS5V9pmTwGpKtbfYSEhBS638HBgfr16zNt2jReeOGFco6q+sjIyuFabBogyRlRPvROzixfvpymTZvy5ptv8vzzz2NjU/yb1qZNmzJ27Ngij8fExODm5lZgv6urKwDR0dH6hgbAypUrUalUPPPMM6W6rrq7lZDO7tBbALz+eINKMZfS3V1XczM11fD37t2yLvN+ucjdpExW/R7Bhy82NfyDCJOSKZXl4MoV2LVLt22iUTPZNrZEPP9SsedotVpc7S3xdbPDTKVEq9WSkJZFbKq6yGtadE0HID4L4hNKCOKlETxx4k+cfz9A8ulQkur75jvsYmuBOltDVEK6Pj+S0dRzlAKHQhiTVqvl7v1pTbUd9Evia7W6xd7mzlWhzmmCJkvFvFNa5s+EyZNh5kyZLVkdXLhwwdQhVGtXY1LJ0WgBWalJlA+9kzMhISE0btxY7xv7+Pjg4+NT5PGMjAzMzc0L7M/95Lk0hX2/++47tm3bxujRo/H09NT7OgGrfo8gW6N7g9KnVT1Th6MXjQZycoxzb0szFf/pUp/ZP15gy4mbvN3NBydbC+M8mDAJmVJZDhYs0L2z8PKCCrjMp6WZEjcHKxrXrYHqfkI6Mj6NvyMTiU/LMtjjRHXpRrK7N/aR1/Df/DXHp/2fwe4tqqdly5YBD9qbXbt2cerUKWrUqMHQoUNNGZooRmL6gxFy+k5rmjFDNwBRt+Cbrruema5rr3IHJs6aZehIhRAPy12pydHGHFd7GR0tjE/v5MycOXN44403iqzJcPToUZYtW8a6dev0up+VlRVZWQU7wblJGX2nB5w8eZL33nuPJ598krfffluva4RObEomG49fB+A/XepXmiJzt24Zd3Xawe08WXLgCskZ2aw7cp23uxedZBSVj0ypNLLYWPjmG932xIm6VYtMQatFma17jdGYmYNCgY25ilZejrg72eQlZWKSM4m4l0JyRjYWZspii3XGJKtRq3WfoKnM9PjUWqnkwssjaDt3Bt57dhA65r9kOsn0IVF2ixYtyvf99u3bAahXr54kZyqw3FEzoN+0pvh4mDu36L5OWpru+KRJ4OhooCBFhfXdd9+xYcMGrl+/TkJCQoHjCoWCsLCw8g+sGrh4Pznj62aPQoaqiXKgd6/5+PHj+T5p/re4uDhOnDih9wO7uroWOnUpJkZXmFafN0cXLlzgjTfewM/PjwULFqBSVY7kQkWx+o8IMrI0OFibM7SDl6nDqTDsrXS/jy8PhrP2yDVef7wB1hbyt1VVyJRKI/vyS0hPBwcHGDHCZGHY3o6kd78uAOza8QepdT14ppkbNhb5X/Zc7S31/jTsUmQafh66Kb0Ld0ThWrfkIXxXn3uJFivmYZmUiE/Ies6NkA8RRNldvHjR1CGIMsgtBqxSKnDRYzTutm1QUpdWpYKtW2HUKENEKCqqZcuWsWTJElxcXGjVqhUODg6mDqlauZRbDFimNIlyYrCPNJOSkrCw0H/6h7+/P8HBwaSmpub7BDs0NDTveHFu3LjByJEjcXZ25quvviqxBo7ILzEti3VHdKNmhnf2xs7SRJ9uV1DDO3uz+vcI4lLVbD5xg+Gdq9EywFWcTKk0oowMWLJEtz1mDFSwFaxuxKXh62aP8v6nX1k5GpLSs8jK0ZZ4rRYtFyPTgdK91uRY23Cl9xCaBn+Jz7ZgwoaOQWMhQ6OFqE4erNRkqVdtvzt3dKNjipOWpjtPVG0bN26kXbt2rFq1qtC+izCuvJEzUgxYlJNi35FfuHAhXyGqkydPklNIsY+EhAQ2bdpEw4b6L8Pcs2dPvv76a7Zu3ZpXlFOtVrNjxw5at26d98n2rVu3SE9Pz3fvmJgYRowYgUKhYPXq1Tg7F1yJQxRvzZ/XSMnMxs7SjNc6eZs6nAqnlr0VA9q4s/HYDZYfCmdwO0+szGX0TFUgUyqNaMMGiI7WTWUaP97U0RTw1/UEzkUm4VfbniZ1a2CuUuJiZ8ntxHT+jkzkXkrRhYABYm6XrQ249NKrNN64Euu4GLx+2V1ioWIhRNUSnax7faml50pNtWuDjU3xCx/Y2OjOE1Vbamoqzz77rCRmTCAlM5vIeF3Bfhk5I8pLscmZffv2sXTpUkA3n3HLli1s2bKl0HNtbW1577339H7ggIAAevbsydy5c4mJicHT05OQkBBu3brFnDlz8s6bMmUKx48fzzeUd+TIkdy8eZORI0dy6tQpTp06lXfM09Oz2KVwha6x+ebPCACGdfTC0UYK3hbmjSca8u2Jm9xNymTryZsM6+ht6pCEAciUSiPRaGDePN32kCFQr2IWGFfnaPg7KhEzhQIbSxV1HK2p46D7upWQzuEr9/QaSVMa6bXqcL3789T/eSf+m1YR8dwAWWZFiGokd+SMm55TKAcMgLfeKv6cnBwoptqAqCIaN27M7du3TR1GtXT5/qgZAF83OxNGIqqTYpMzffv2pV27dmi1Wl599VVGjx5N586d852jUCiwsbGhUaNGen/inOuzzz5j4cKF7Nq1i8TERPz8/FixYgWBgYHFXpc7mmfVqlWFxizJmeJtOHqdhLQsrMyV/KeLTNcpioezDQMC3dl84ibLDoYzsK1HpSmaLIomUyqNZM8eOH9etz1pkmlj0UOOVsu12DROXIvHr7Y9frXtqetoTU07S24nGr7i+IXBI6n/806cwi/gduIwd9t1MfhjCCEqprzkjJ4jZ5ycdMtlz59f+PQmGxt45x0pBlwdTJgwgfHjx9OjRw+aNGli6nCqlYv368241bCUD7JFuSk2OVOvXj3q3f/0c86cObRp0wYPDw+DPbilpSVTpkxhypQpRZ4THBxcYJ8UxCu7jKwcVv5+FdCtSlTTTmofFGfsU43YeiqS24kZbDsVySvtpXByZSdTKo1k7lzdv08/DS1amDaWUsgdSXPhThIO1uYlTm0qq3j/5txt1R6308fw37xKkjNCVCN3EnOTM/r3uWbO1P37+eeQWwpNYZaNhUrFO+8o8o6Lqq1du3Z88sknDBw4kJYtW1KvXj2USmW+cxQKBbNnzzZRhFXXwys1CVFe9K4C27dvX2PGIcrJhmM3uJeixkKl5PXHG5g6nArPw9mGfq3qsfVUJMt+DeelQA8szJQlXygqLJlSaQSnTsGvv+q2J082bSxllJWjNVpiJteFwSNxO32Men/+So2Iy1CvjVEfTwhRMdy6n5yp62it9zUKBcyapZvi1LKlbp9Dpyt8/akzfTuUPP1WVA2hoaFMnTqV7OxsTp48ycmTJwucI8kZ47h0PznjL8WARTkqMjmzc+dOAHr37o1Cocj7viR9+vQxQFjCGNLU2Xx58AoAA9u6U8dB/05CdTauayN2nI4iKiGd7X9FMridrMpT2cmUSgPLTWo1b64bOSMKdatzN5LdvbCPvI7flq/J7CLJGSGquszsHGLuFwQuS7/r4ZWTbZvcIgXpu1Unn3zyCebm5ixbtow2bdpQo0YNU4dUbVy8kwLIyBlRvopMzkydOhWFQkGvXr2wsLDI+16rLbpQokKhkORMBbb2z+vcS1FjaaZkfFcfU4dTaXi52NKnZT22/xXJF79eYUCgO+YqGT1TmcmUSgMKC4MdO3Tb775bYQrdZjjX5NDnq/O2DaGGs4ZJn8fkbZeWVqXi4qARtJn3AfV/2s7l2JlgJR1tIaqyu4mZedt1HfWrOVOcO4npj3wPUXlcvHiRcePG0bVrV1OHUq3EpmRyL0X33PWTkTOiHBWZnFm3bh0AFhYW+b4XlVNSRhbLD4UDMKyDl95F6YTOuK6NCDkdSWR8Ot+evCm1Z4TINWcOaLXg41Ohlg7JsbIm6rHuBr2npZWW1o892hujq8+9RIsV87BITsJl9XKix/7PQNEJISqiWw8lU2o7GCI5k1nySaLKcHFxkWW0TeDSXd2oGYUCGtWSlZpE+SkyOdOuXbtivxeVy9d/RJCYnoWNhYoxTzYs+QKRT/2atvRv7c7WU5Es2neZfq3csbaQlZtENXf1KmzapNueOhVkSfESZdvYcnHgCJqvXojLmhWYDX0dkMLsQlRVtxJ0yZmadpYGWfExd+UnUT3069eP3bt3M3ToUMzM9C4VKh5Rbr0ZT2cbbCzk9y7Kj/y1VQPxqWpW/x4BwPDO3rJCUxlNeNqXXaG3iE7O5OvDEYx9qpGpQxLCtD79FHJywMMDhg41dTT5KLKzsYqPBSDDyQWtATq1OdmQFK97c1XDKQdVGW95YdAI/Detwjw5iXrBK7k+dNwjxyaEqJhu3y8GXM8AU5p095NpTdVJYGAgBw8eZODAgQwZMgR3d3dUhXwQ0rZtWxNEV7lEJ2WwO/QW6pySpyUfOB8NSL0ZUf6K7FqeOHGiTDeUxqHiWf5bOMmZ2dhbmfH6YzJqpqzqOVoT1MGLVX9EsPxQOK+098TRxsLUYQlhGlFRsGaNbvu//wWLivVcsIm+Te9+uuWqd+34g9S6Ho98z7hoFRP61QNg4Y4oXOvmlOk+WTUcuPjSqzRb+wX11q3AvE8QWXZSe0aIqijq/sgZQy3CcDdJpjVVJ8OHD8/bfv/991H8q66bVqtFoVBw/vz58g6t0nk35G/23U+66EtWahLlrcjkzLBhwwo0AMWRxqFiuhmXxjeHrwEw+vEGONjIvNVHMfapRmw5cZPkjGy+PBjOtF6NTR2SEKYxdy6o1VCrFowcaepoKp2Lg0fSeOsazJMS8d26ln+Gjzd1SEIII7h9PzlTmmW0i5OSmU1yRhb2VtKfqw7m5K6GKB5JujqH3y7fA8Cnlh22liUPfXWyMedlWaFVlLMi/zKlMagaPv/5IupsDbVrWPGfLg1MHU6l52RrwegnGjD3l0us+fMar3X2liXJRfUTFQXLl+u2J00Ca3kOlFamozNxr47E9ctF+G9axcWBw8m2laKDQlQ1udOaDLFSU667SRmSnKkm+vbta+oQqoSjV2NRZ2tQKmDrmI4y8l1UWEUmZ6QxqPzO3Exgd+gtACb38JMCtgYyokt91h65TkxyJnN/vsS8gQGmDkmI8jV7NmRk6EbNjB1r6mgqrXuvj8P5mxVYJiXgsz2Y80FvmDokIYSBRRlw5EzuePY7iZk0qiXTLYTQ18GLuulMrT2dJDEjKjSlqQMQxqHVavn4+zAAmtatQb9W9UwcUdVhY2HGxO6+AGz/K5LTN+JNHJEQ5ejaNVi5Urf97rtga2vScCqznJqu3B4UBECT9csxT0kycURCCEPSTUHKBqCOAZbRdrHTvamUosBClM7BSzEAPOnnauJIhChekcmZW7ducevWrQLfl/QlKoY95+5w8rouafDec41RKvWvHyRKNqitB03r6gp4fvhdGBqN1sQRCVFOZs6ErCyoVw9GjzZ1NJXejVHjybK2wTIpgcbrvzJ1OEIIA4qMT8vbruf06CNnXO11CR5ZTlsI/UXcS+V6rO65+KRfLRNHI0TxipzW1LVrV5RKJWfOnMHCwoKuXbvqVSBYCgKbXpo6m49/0P0/dG9ci04Na5o4oqpHpVTwwQtNGfjVEUJvJrDjdBQDAt1NHZYQxnXpEqxdq9uePh2sDFdDobrKqlmLC0NG0Xz1Ivw3r+bSS6+S4SKdRyGqgtw3hNbmKlztLB/5fq52FlxOe1DHRghRstwpTTXtLGlSR1ZGFBVbkcmZsWPHolAoMDMzy/e9qPiWHLhCVEI6FmZK3n+uianDqbLa1XfmxYC67A69xad7LtCjqZsU6BNV24wZoNFAgwYwYoSpo6kyzg8Zhc+2dVglxtPsmyWcnDzL1CEJIQzgxv3kjKezjUH60LXsrSBaRs4IURoHL+qmND3h6yozCUSFV2RyZvz48cV+Lyqmy3eTWfnbVQDeeKIh3jWlHoQxTevlz96wu8QkZ7Jw32WmPy/JMFFFHT0KW7botj/4AMwrdiIy3cWVX1Zsz9s2BAeXHD5YcSdv21Cybe3557VxBC6aRaOQjVx4eSQp7l4Gu78QwjRuxN1PzrjYGOR+Ne11o29k5IwQ+snIyuHo1VhA6s2IykEKAlchWq2W6bvOka3R4uViwxtPNjR1SFVeHQdrxnVtBMA3hyMIvZlg2oCEMAatFt55R7fdujUMHWraePSgsbTiXos23GvRBo2lYaZfWViCbws1vi3UWDz6DIV8LvcbSqpbXZQ52bT4aq5hby6EMInrcQ9GzhiCWw1dW3YzLg2tVmrdCVGSI1djyby/hPZjPlLmQVR8pU7OnD17lnnz5jFhwgQmTJjAvHnzCA0NNUZsopS2/xXF0atxAHz4YlOszGXp7PLw+uMN8K9tj0YLU7afJStHY+qQhDCsbdvgyBHd9rx5oJS8vqFpLK04O0qXAPPeu5uaZ0+aOCIhxKO6EZsKgJeBRs54OuuKCidlZBOXqjbIPYWoyg7dn9LUSpbQFpWE3j3snJwc3n33XQYNGsTKlSvZs2cPe/bsYeXKlbz88stMmzaNnBzDDfMWpXMnMYOPvvsHgF7Na/OUVCMvN+YqJf/XvwUKBVy4k8yK+9PKhKgSMjJgyhTddu/e8OSTJg1HX8osNQ5XLuBw5QLKLMO8icnOghtXzLlxxZzsLIPcMp+IXv2J9W8OQOD8D3X1fYQQlVKORktkvG7Jaw8DjZxxd3pwn2v3Ez9CiKLlFgN+0lemNInKQe/kzJdffsmOHTvo1q0bmzdv5uTJk5w8eZJNmzbRtWtXdu7cyZdffmnMWEURtFot74b8TXJGNk425szs3czUIVU7LT0cGd6pPgCL9l/mSnSKiSMSwkAWLYKICDAzg88+M3U0erOOuctzQ3vw3NAeWMfcNcg942NUTBtah2lD6xAfY4SRiUolp975EACXC3/T4PtvDf8YQohycSshnWyNbuqRl4GSM7aWZrjerztzNUaSM0IU59q9VK7JEtqiktE7ObN9+3Y6d+7M0qVLadmyJXZ2dtjZ2dGqVSu++OILOnTowPbt240ZqyjC9r+iOHBBlxme2bsZNQ2wXKMovUnP+FLP0Rp1toaJW86gzpZPvUUld+MGzJyp2x47Fnx9TRtPNXCvRRsievQBIODLzzFPSTJtQEKIMsktBqxQQD0na4Pdt/79hR4i7klyRojiPFhC24KmdWUJbVE56J2ciY2NpWvXrkUe7969O7GxsQYJSujvZlxa3nSmZ5vV5vkWdUwcUfVla2nGvIEBKBTwd1QiC/ZdMnVIQjyat96CtDSoXRs++sjU0VQbZ8ZOI8vaBuv4ezRftdDU4QghyiB3BK2nsw2WZoYbadfgfnJGpjUJUbyDl3T1Zh6XJbRFJaJ3csbb25uYmJgij0dHR+Pt7W2ImISesnI0jN90muSMbGraWTCrTzMUCml8TKlDAxfGPKFbJWv5ofC85fuEqHS++w527dJtL1gADg6mjacaSa9Vm3+GjwfA99tvcA6TovtCVDaXo5MB8KllZ9D75o6ckWlNQhQtIyuHI+G5S2jLlCZReeidnBk9ejQbN27kwoULBY6FhYWxadMmxowZY9DgRPHm/nyRMzcTUChgwaCWMp2pgpjY3Zdm9WroVh/ecobYlExThyRE6aSmwnhdcoDu3WHQINPGUw1dGDyS+Ib+KDUa2n/yPxTGqEAshDCay3d1I2ca1bI36H29Hxo5o9HIctpCFOboQ0toPy5LaItKxKyoA0uXLi2wz93dnf79+9O5c2caNGgAQHh4OH/++Sd+fn5EREQYL1KRz68Xovnq/qpAbzzRkMd8pAp5RWFhpmTRy614fvEf3ErM4K3Np1k7vB1mKll+WFQS06bB9etgaQnLlumKJohypTG34Pi7n/L0qL44hV+gSfDyvNE0QoiKLzxGl5wx9MiZhq66+2VkaYhKSDfYSlBCVCUH7y+h3dLDUZbQFpVKqZIzuX777Td+++23fPvCwsI4f/48Y8eONVx0olDhMSm8tfk0AIFeTrzztBTprGgautrx2YAWjN90msNXYvn8l4tMe7axqcMSomQHDsCSJbrtDz4AHx/TxlONxTZtyaWBw/HfvJpmXy/m5lPPkuTdyNRhCSFKEJeq5l6KGgAfN8MmZ7xdbLA0U5KZrSHsdpIkZ4QoxKH79WZkSpOobIpMzuzfv7884xB6SkzLYuTakyRnZFPL3pIvhrSWERkV1AsBdTkbmcDK3yP46tBVmtV14IWAuqYOS4iiJSXBiBG67fbt4b//NW08gtDRk3E/9DN2tyPp+OEE9q7cgcZcPgUUoiLLLQYMD0a6GIqZSolfbXvORiZy/nYSPZrWNuj9hajsrsem5q1m9qSfzCwQlUuRyZl69eqVZxxCD+psDeM2/UXEvVQszJSsCGpDbQcrU4clijGlpz/nopI4cjWWSVtDcathRbv6zqYOS1RTR8Jji13i3fe9CdS5fp0cSytOfbCA9PB4g8fgVqN8amOl1arNd9/+mrdtCE61cpj77a287fKQY23D0enz6Db2ZVwu/E3zFfMJHTu1XB5bCFE2YbcSAXB3ssbWssiudpk1rl0jLzkjhMgvd0pTTTsLmtWVxQxE5WL4VwxhFBqNlslbQ/n98j0APh/QgpYejqYNSpTITKVk2Sut6b/8T67GpDJy7Qm2v9EJHzfDFggUQh/qbF2NgsJ47wmhzvaNAJwZ81+uONeDIs59FC625TPqQ2tmTrJnA4Pe08wM6nhmG/Se+ohu3YF/gt6k2dovaLJ+Obc7PE50YKdyj0MIoYf4eGzWfcP4sKvU9vOG+Fbg5GTQh/Cvo+tDXLiTbND7ClEVHLwYDcDjPrKEtqh8SpWcyc7OZt++fYSGhpKUlIRGk/8TWIVCwezZsw0aoACtVssHu/9hd6juE9tJT/vSu6WMbKosnGwtWDu8Hf2+/JOY5Exe/fo4W0Z3lHniosKwvx5O20/fBSCq01NcHDTCxBGJf/t71ERqnzhMzbAzdPpwAnvW/ECGiwzXFqLC0GphxgyYO5cXNGCpziD7pDVsmAeTJ8PMmQYrrt64Tg0ArsemkZKZjZ0RRucIURllZOVw5KpuCe0nZEqTqIT0bs0TEhIICgri8uXLaLVaFAoFWq1uCb/cbUnOGJ5Wq2X2j+cJPnodgBGd6zOuqxSErGw8nG345rW2DPrqCLcSM3h5xVE2v95BEjTC5FQZ6XR5903M09NIrVWHozPmg7Ly17FSZmZQ85yucPq9Zq3QWD76FFB1Jlw5p5uW1ahZJhblM0ML0I0E+vOjRTz7ai9sYu7S+f2xHFiyAa2ZefkFIYQo2owZMH8+ZGRgfX+XRcb90Yfz5+v+nTXLIA/VpG4NFApdPujszQQ6NZKlgoUA3RLaGVm5S2hLckZUPnr3wBcuXMjVq1f5+OOP2bt3L1qtltWrV/Pjjz/y3HPP0bx5c44dO2bMWKsdjUbL9F3nWPm7bonyfq3r8f5zjVHIsraVUrN6DqwZ0Q5bCxVRCem8vOIoN2LTTB2WqM40GjrMmoRT+AU0KhWHZy0h07Fq1ESyjo2h+9iX6T72ZaxjYwxyz8RYFZ+MdeOTsW4kxqoMcs/SSPHw5sgM3Zs8t9PHaL3QMG/0hBCPKD4e5s6FtCJe09PSdMcTEgzycDWszPGtpZvadPK64WuDCVFZ5dabCfBwxKmcplELYUh6J2cOHTpEnz596N+/P3Z2usrzSqWSBg0aMHfuXKysrJg3b57RAq1u1NkaJm8NZf3RGwAMbOPO5wMCZO5kJdfW25m1DyVo+n35J2cjE0wdlqimmq9agNf+HwA4/db73Atoa+KIREkin+zJueHjAfDbtpYGuzebOCIhBNu2gaqEhK2bG1y/brCHDPTW1bGR5IwQD+Qtoe0rS2iLyknv5ExMTAzNmzcHwMxMNxtKrVbnHe/WrRsHDhwwcHjVU1yqmqGrjrHjdBQAr3Xy5v/6tUAliZkqoY23M+v+0x4Ha3PupWQy6Kuj7A27a+qwRDXjvSeE5l8vBuBy31e4OHC4iSMS+jo76h2iOncFoN2n71L3T3ntFcKk7twpetQMwA8/wOXLEBBQ6ls7OICtbcH9bbx0yZnT1+PJ0WhLfV8hqhpZQltUBXonZxwdHUlP182dtbW1xczMjNu3b+cdNzc3JylJlvR7VGG3kujzxWGOX4sDdMV/P3ihiYyYqWICvZzY/kYnPJytSc/K4fXgkyzYe0k6WKJc1P1jPx1mTQbgTptOnJz0kcEKVYpyoFRyeOZi4nyboMzJocu7b+Jyv76OEMIEatcGmyJqyLVpA716gXnZ6kM5OcETTxTc39ZbNwU1OTObf+4v3S1EdZY7pcnF1oLm9WQJbVE56Z2c8fb25sqVK7qLlEqaNGlCSEgIarWa9PR0du7ciYeHh9ECreq0Wi3fHI6gzxeHuRGXhpW5bgnm8d18pMZMFdWolh0hb3amlacjWi0s2n+ZYauPEZ2cYerQRBXmdvIwj737BsqcbOIbNeb32culqGwllG1rz8EFa0mp64FZRjpPTBqO46V/TB2WENXTgAGQk1P4sZMnYeFCXV2aMoiJgb17C+73cLahfk3dkJoDF6LLdG8hqpK8JbR9ZQltUXnpnZzp3LkzP//8c95Uptdee43Q0FDatWtHp06dOHfuHK+++qrRAq3Kbsal8do3J/jouzDUORrq17Rl25hO9Gpex9ShCSOraWfJltc7MryzNwB/hsfy9Pzf2HYqMm81NCEMxfHIbzz+35Go1JkkeTbg10XBZNWQT5cqqwyXWvy6cB0ZTi5YJcbTbdxgnC78beqwhKh+nJxg8mTURa0K9957sGhRmW6dmgpZWYUf6+qvq6shyRlR3T28hLZMaRKVmd7JmTFjxnD48GEsLHSVr3v16sXixYvp0qULjz32GPPmzeOll14yWqBVkTpbw5cHw3l6waG8AlYDAt35fnwXmslwvGrDwkzJBy805ctXWuNgbU5iehaTt4YS9PVxLt9NNnV4oqoICaH560MwT08jpY47B5ZsIMNFOjCVXbJnA/Z/sZl0Z1cskxLpNm4INc+eNHVYQlQ72o8+YkOn/mSqHhqJaG0NVlbwzjvwwQcGf8xujXXJmbORiUQlpBv8/kJUFsci4sjI0qBQwGOyhLaoxPROzigUirzETK5nnnmGpUuXsnjxYnr16mXw4KqqHI2Wbaci6TrvIJ/uuUBGlobaNaxYPrQ1c18KwNbSzNQhChN4tnkd9r7zOM/dHzH1++V79Fj4G9N2/E10kkx1Eo9gxQp46SWUWWoSvRqy96ttpLnVNXVUwkASG/iyf9lm0mrWwiIliW7jhuC59ztThyVEtXI0Ip6P2g2mT9BDK5dOnw63b8OsWUap69XW25madpYAbDsZafD7C1FZ5E5pCnB3xFmW0BaVmN7JmX/LyMggI0PeMJZGujqHDceu88yCQ0zeGkpkfDoqpYLhnb3ZN+kJejaTaUzVXS17K754pTUrg9rg7WKDRgubjt+gy2e/MnX7Wa5Ep5g6RFGZZGXB2LEwejTk5JDcNIB9y7eSXqvqtzVpbnXZ9vMZtv18xmCJKBe3HJb/HMnynyNxcSuivoSJJHk3Yt/ybSR51EelzqTL9HE0+3oRaDSmDk2IamH9Md0y2Z71H2pfBw8GR0ejPaa5SsmAQHcAvj15k+wceb6L6unQ/WLAMqVJVHalGqIRGxvLkiVL2LdvH7Gxunl9Li4udO/enXHjxlGzZs1SPbharWbRokXs2rWLpKQk/P39mThxIh07dizx2rt37zJ79mwOHz6MRqOhQ4cOTJs2rcIVJdZqtfxzK4mdp6PYeiqSxHTdxGGFAl4MqMuE7r55Bd2EyPV0Ezee9HNl0/EbLNp3mdhUNZtP3GTziZt0aVST/oH16Nm0DtYWKlOHKiqq69dh2DD4/Xfd9717Ezp9AZnZ1eNvRqtSoXZwMug9lSqwd6i4b35S3L34ZdVOHps6GrfTR2mxYj41z57iyIz5ZDqX7vVZVDyP0mcSxnUlOoWf/tatYNq3Vb1yfeyX23rw1W/hRCWks+N0FAPbVKx+sKjcrl69yubNmzl79ixhYWFkZmayf/9+3N3dTR1anhuxaVzNW0K7lomjEeLR6D1y5ubNm/Tp04fNmzdjb29Pt27d6NatG/b29mzevJm+ffty8+bNUj341KlTWbt2LS+++CLvvfceSqWSUaNGcfp08UuCpqamEhQUxKlTpxgzZgxvvfUWYWFhBAUFkZho+uUEs3M0nLwWx7xfLtJt3iGeX/IHq/6IIDE9CwszJS8FuvPT24+x6OVWVT8x8/D/x6ZNZV6twMi3rJDMVUqCOnrzx5SuzOrdFC8X3TKdf1y5x8QtobT9ZB/jNv5FyOlI4lLVJo5WVBhaLWzYAC1aPEjMzJgBO3aQY2dn2tiE0akdHPl1cTCX+wwBoO7RQzwb9Cx1/vzVxJGJR1XWPpMwLq1Wy8c/hKHRgpeLDd3qPlQU2ACdlJL6PN41benbUpcQmv/LpbwPAYUwhDNnzhAcHExKSgoNGzY0dTiFOnhJN6XJ2daCFlKzU1RyeidnPv30UxISEli6dCk//fQTS5cuzdtesmQJCQkJfPrpp3o/8NmzZ/nhhx+YPHky//vf/xg0aBBr166lTp06zJ07t9hrN27cyPXr11mxYgUjR47ktddeY/Xq1dy9e5c1a9boHYOhJKZncfjKPZYdvMKodSdpNXMvA5YfYcmBK3mZ3Iautkx+xpc/p3bl85cC8K9do9zjLFdarW6udfv2D/bNmgV16+r2l2ElIiPcslKwtlAxrKM3ByY9yaqgNjzbrDbmKgUpmdl8f/Y2E7eE0ubjvTy/5Hc+2HWOXWeiuBmXhkZTRX8homjh4fDiizB0KCQlQa1a8P338NFHoCzzLNZKSZWehseBH/E48COq9DSD3DMjXcHxA9YcP2BNRnrFXaZTY27BialzODxrCVk2dtjci+apd16j04zxWMXGmDo8UQaP0mcSxrXy96scvBgDWi2rruzGvNNDI5keoZNSmj7PxKd9sTJXcicpg/9tC5XpTcJgunbtyokTJ/j+++/p3bu3qcMp1MH7U5oe96kpS2iLSk/vaU1HjhzhlVdeoXv37gWOPf300wwePJjt27fr/cB79uzB3Nw83wpPlpaWDBgwgAULFhAdHU2tWoUPTfv5559p2bIlTZo0ydvXsGFDOnbsyE8//cTbb7+tdxyldeZmAqE3E4i4l0rEvVSu3kvhZlzhFfJ93ex4yq8WL7asS5M6NVAYoRhchTVjBsyfD5mZD/al3/89zZ+v+3fWLFPfslJRKRV0b+JG9yZuxKeq+encHQ5cuMsfV+6RkaXhXFQS56KSWHtEN+/dxkKFTy07fNzsaehqh6ezDU/5u2JjIQWnq5yEBJg7V/eV+wR58UVYuVKXoKmGrOJjeezdNwDYteMPUq1tHvmeyfFKFr2rm8++cEcUVtYVq+7Mv11/+kViGwfQ/pP/4Xb6KN6/7KbunwcJGzaGi4NGkGNlbeoQhZ4epc8kjCMjK4clBy7zxa/hAHx1eRc+P280WCelNH0eD2cbpj/fhPdCzvHzP3cZs/4Us/s1p5Z9EUt7C6EnRyPWTDKEjKwc/gy/B8iUJlE16P0uTaFQ4OXlVeRxb2/vUiUfzp8/T/369bG1zT+tp0WLFmi1Ws6fP19oR0Oj0XDx4kUGDRpU4Fjz5s05fPgw6enpWFsbvtP5++UYhq0+XugxhQIaudrRwt2R9g2cedzHldoO1fRFMT5e9yaxqILRaWm645Mm6V0ozwi3rNScbC0Y0t6TIe09ycjK4VhEHKeuxXHqRjynbySQps4hTZ1DaGQioZEPxkQ/6efKmuHtTBi5MKiEBFi8GBYs0G0DeHjovu/Xzyirg4jKJcXdi/3LNtPg+29pteQTLJMSafnlZ/huXcP5oWMIf2EQOEqSpqIra5/pUWVm53AvRTdtVnt/qEZhA0By92nRFrLv4fO0+fblv1fB+//7vELvn+98/WMs/HG0hex7sCcpPZuohHTORiaw/3w0sfenFD9Tx4JnFq03WCelLH2eIe08iYxP58uD4ew7H81vn/5KN/9atPF2xsPJGhc7CyzNVFiZqzBX6V4bFNz/96GXitxthSL3aOXlVsMKlYykqJQS0tSkqUv+AOTU9fi8JbQf95ViwKLy0zs507ZtW44dO8bgwYMLPX78+HHatdP/TV9MTAxubm4F9ru66p5Y0dHRhV6XkJCAWq3OO+/f12q1WmJiYvD09NQ7Fn15ONngfb/uR/2attSvaUd9V1t8atnRrJ4DdrIEts62baAqoeioSgVbt8KoUaa6ZZVhZa7iCV9Xnrj/opSdo+FabCqX7qZw6W4yl++mEHEvlejkTFp7GrZAamVV6YuR//UXfPklbNyo66UD2NnBhAkwdSrYVvFaVqJ0FAquvjCIyMefoenaL/Ddtg6be9EELpxJ85ULuPvSKzDlbfD3N3Wkoghl7TM9ipTMbJ6ae5CY5MyST66mLFRK/vNYfSZdO4TCgJ2UsvR5FAoF/+vhh08tO2Z+H0ZCWhY/nbvDT+fu6PnTVD3+te358a3HZKpLJbPzdBTvfHuG0szObyFLaIsqQu9swrvvvktQUBD/93//x6hRo3BxcQF0KzitWLGCs2fPsm7dOr0fOCMjA3Nz8wL7LS0tAcjMLLwzkLvfwqLgEzD3WmMt8e1d05aD/33KKPeuUu7cefCGsShpabrzTHfLKstMpaRRLXsa1bKnV/Oqv2RyWUydOpVffvmFoKAgvLy8CAkJYdSoUQQHB9OqVasir8stRp6amsqYMWMwMzNjzZo1BAUFsXPnThwcjFiILixM12Pftg3+/vvBfjs7GD8e3nkHSrlinqhe1A5OnH7rfS4OGkGTtV/Q4IdtWKQm47FmOaxZDoGB8MoruilxFbTwY3VV1j7To9BqtVK77F8sVEpqO1jRwNWWTg1d6N2yHm41rGDWVoN2Usra51EoFPRr7U7PZrX5PvQ2v12O4cKdZKLi00nPqtjTMI0hW6NF/oIf0Gg0ZGXpVzA6t20xhZwy/L8NklXKRBVRZHKmW7duBfZlZGSwdu1a1q5dS40auoK2SUlJgG5O4muvvca+ffv0emArK6tCG4jcDkZRjULufrW64Oo0uddaWVXT6UQVRe3aYGMDqalFn2NjozvPdLcU1VRuYc1p06bx2muvAdCnTx+ef/555s6dy4YNG4q8NrcY+Y4dO/JqXj322GO88MILrFmzxnj1rmbMKFiroGlTeOMN3XLZNap4gXFhUGludTn5v084O3oyjXZuxH/XJqxu3YRTp3Rf77wDPj7Qsyc8/jh06AAVaNnU6qisfaZHYW9lzuGpXYlOepD4KWym5MPTYIB8U2Hyjj2098E++PcFhU6zybtOv/uj+Pexh88v+R7F/YzmSmXhozAM3El51NvZWJgxsK0HA9vq3rBqtVrUORoysjRkZuXkS1potdoC08C02vxTyCqruo7WMq3pISdOnCAoKEivc48cOYKzs7ORIypc/0B3Hvd1JU2drdf51hYqqa8kqowikzN169Y16gO7uroWOgw3JkZXcbuoudOOjo5YWFjknffvaxUKRaFTnkQ5GjAA3nqr+HNycuChwoYmuKWopiplMfLISN2/np66P/IBA3RLeEhNGfEI1A5OhL06lsTx7/BE7GVYvx527ICYGLh8Wfe1ZInu5Hr1oE0baNxYN/3J3x8aNQJnZ/k7LAdl7TM9KitzFZ4uj15Mu8ozcCfF0H0ehUKBpZkKSzMVWBccgSWqhwYNGjBnzhy9zrWzszNyNMVztbcETDd6RwhTKTI5ExwcbNQH9vf3Jzg4mNTU1HwF7kJDQ/OOF0apVOLr68u5c+cKHDt79ixeXl5GKQYsSsHJCSZP1i0nUNi4XBsb3Sezpajca4RbimqqMhYjZ/ly+OADXXJG3ggLQ1MqoUsX3deyZbqaRj/9BHv3wsmTuiVioqJ0X7t25b/Wyko3qqZePd1XzZq6BtvRUfevkxM0aADNmpnkR6sqytpnEuXEwJ0U6fMIY3B1daVfv36mDkMIUQyTVbDt2bMnX3/9NVu3bs2bWqBWq9mxYwetW7fOK3x369Yt0tPTafjQ/PcePXowf/58wsLC8j7Bvnr1KkePHmXUI1SDTUlJQavV0qZNm7L/YOKB+vUfrAGp1T54U2lpqev4//RTRbiluC85OblaLPdeEYuRl1fbk10B6kcoAU05PI5Co2HW/deNnI/GoVUqHzkOrQYaNtQ9R77+SItCWcIFJSiv34U+zIoa+t+kie4j+uxs0Gh02xqN7iuXVqsb3ZU7wqswtrZQSM0UqD5tz6PQt89UGtLnMQIDd1Kkz2Nc0vaYhrQ9ojorqd0pdXLmxo0b7N+/n5s3bwLg4eFBt27dSv2GJCAggJ49ezJ37ty8NzQhISHcunUr35C7KVOmcPz4cS5evJi3b8iQIWzdupXXX3+d4cOHo1KpWLNmDa6urnmdlrJQKpVoNBWlq1wFWFnpehBZWbqOvFKp65w/wguhEW4p7lMoFCiVj/husxKoiMXIy6vtKfINeDkrl78ypSrvY+WiFj0pdRzKhz+pNszvslI841SqkpeOeQTVpe15FPr2mUpD+jxGYOBOivR5jEvanpIlJyfnzaY4c+YMABs2bMDe3p66devSp0+fUt9T2h5RnZXU7pQqObNw4UJWrlxJTk7+iu+ff/45o0ePLnW9hc8++4yFCxeya9cuEhMT8fPzY8WKFQQGBhZ7nZ2dHcHBwcyePZtly5ah0Who37497733Hk5OZV8qOCwsrMzXCiEqh4pYjFzaHiFEScraZyqKtDtCiJIkJiayaNGifPu+/vprANq1a1em5Iy0PUIUTe/kzLZt21i+fDmtWrVi5MiR+Pj4AHD58mVWr17N8uXL8fDwKNVcRktLS6ZMmcKUKVOKPKeo2je1a9dm8eLFej+WEEKAFCMXQlRO+vSZhBDCkNzd3fPNXhBCGJfeY/k2btxIQEAAwcHBedOYPD096datG+vWraNFixasX7/emLEKIcQj8/f3JyIigtR/rVEqxciFEEIIIYQQpqJ3ciY8PJxevXphZlZwsI2ZmRm9evUiPDzcoMEJIYSh9ezZk6ysLLZu3Zq3r6hi5P9u03r06MGZM2fyDcnNLUbes2fP8vkBhBBCCCGEEFWO3tOazM3NSStsPb/7UlNTCy2yKYQQFUlFLEYuhBBCCCGEqN70HjnTvHlztmzZwr179woci42N5dtvvyUgIMCgwQkhhDF89tlnDBs2jF27dvHxxx+TnZ1dqmLkrVu3ZtmyZSxatAh/f3/Wr1//SMXIhRBCCCGEENWbQqvVavU58cSJE7z22mvY2trSv39/GjVqBMCVK1fYsWMHqamprFmzRtasF0IIIYQQQgghhCgFvZMzAAcOHGDWrFncvn073/66desyffp0nnrqKYMHKIQQQgghhBBCCFGVlSo5A6DRaDh37hyRkZEAeHh40LRpU5RKvWdICSGEEEIIIYQQQoj79ErOpKam0rt3b4YOHSpFL4UQQgghhBBCCCEMSK/hLra2tiQkJGBra2vseIQQQgghhBBCCCGqFb3nIgUEBPD3338bMxYhhBBCCCGEEEKIakfv5MzkyZPZs2cP27dvp5RlaoQQQgghhBBCCCFEEfQuCBwUFMStW7eIiorCwcEBT09PrKys8t9MoWDt2rVGCbSyOXLkCLt37+avv/7izp07uLq60rFjR9566y1cXV1LvH7q1KmEhIQU2B8QEMC3335rjJCNRq1Ws2jRInbt2kVSUhL+/v5MnDiRjh07lnjt3bt3mT17NocPH0aj0dChQwemTZuGh4dHOURePs6ePUtISAjHjh3j1q1bODo60qpVKyZMmICXl1ex1y5ZsoSlS5cW2F+zZk0OHz5srJBFBSZtzwPS9hRP2h5hKNLuPCDtTvGk3RFFeZTnjjC+6Oho1q1bR2hoKOfOnSMtLY1169bRvn37Aufu37+fpUuXcuXKFVxcXBgwYABjxozBzMzMBJFXLnr/hnJXZ6pTpw4A9+7dM05EVcTnn39OYmIiPXv2xNvbm5s3b7J+/Xp+/fVXdu3ahYuLS4n3sLa25qOPPsq3z9nZ2VghG83UqVP55ZdfCAoKwsvLi5CQEEaNGkVwcDCtWrUq8rrU1FSCgoJITU3Ne0KvWbOGoKAgdu7ciYODQzn+FMazatUq/vrrL3r27Imfnx8xMTFs2LCBPn36sG3bNho2bFjiPWbOnJkvWfrvxKmoPqTteUDanuJJ2yMMRdqdB6TdKZ60O6IoZX3uiPIRERHBypUr8fLyws/Pj9OnTxd63qFDhxg7diwdOnRg+vTpXLp0iS+++IL4+HimT59ezlFXQlphFMePH9fm5OQU2Ofr66tdvHhxiddPmTJFGxgYaKzwyk1oaKjW19dX+8033+Tty8jI0Hbv3l07ZMiQYq9dsWKF1s/PT/vPP//k7bty5Yq2cePG2oULFxor5HJ36tQpbWZmZr59ERER2mbNmmmnTJlS7LWLFy/W+vr6ahMTE40ZoqhEpO3RkbanZNL2CEORdkdH2p2SSbsjCvMozx1RPpKTk7VxcXFarVar3bt3r9bX11d79OjRAuf16tVL27dvX212dnbevvnz52v9/f21ERER5RVupaVXzZm4uDhCQ0O5ceOGsXNFVUbbtm1RKpUF9jk6OhIeHq73fXJyckhJSTF0eOVmz549mJub89JLL+Xts7S0ZMCAAZw6dYro6Ogir/35559p2bIlTZo0ydvXsGFDOnbsyE8//WTUuMtT69atsbCwyLfP29sbHx8fvf9WtFotKSkpUg9KSNtzn7Q9JZO2RxiKtDs60u6UTNodUZhHee6I8mFnZ4eTk1Ox51y5coUrV64waNAgVCpV3v4hQ4ag0Wj45ZdfjB1mpVdsckaj0TBjxgy6dOnCyy+/TI8ePRg8eDBxcXHlFV+VkpqaSmpqaol/2A+fHxgYSGBgIO3bt2fOnDlkZmYaOUrDOn/+PPXr1y+wDHuLFi3QarWcP3++0Os0Gg0XL16kWbNmBY41b96ca9eukZ6ebpSYKwKtVsu9e/f0/lt58skn8/5Wpk2bRkJCgnEDFJWKtD0PSNtTPGl7hKFIu/OAtDvFk3ZHlPW5IyqWsLAwgAJtmZubG7Vr1847LopWbM2Z9evX8+2331KrVi1atmzJ9evXOX36NDNmzCi0IJco3tq1a8nKyuLZZ58t8VxXV1dGjhxJ48aN0Wg0/Prrr6xZs4bw8HBWrVpVDtEaRkxMDG5ubgX25xYILCoTnpCQgFqtLrSQoKurK1qtlpiYGDw9PQ0bcAWxe/du7t69y8SJE4s9r0aNGgwbNoyAgADMzc05evQoW7ZsISwsjK1btxb4dEpUT9L2PCBtT/Gk7RGGIu3OA9LuFE/aHVHW546oWGJiYgCKbMvk/7FkxSZndu7cScOGDdmyZQt2dnYAvP/++4SEhJCUlESNGjXKJUhT02g0ZGVl6XWupaVloftPnDjBF198wfPPP0+7du1KvM+kSZPyff/888/j5ubG6tWrOXz4MJ07d9YrHlPLyMjA3Ny8wP7c31NRn4rl7i/shTb32oyMDEOFWaGEh4czc+ZMAgMD6d27d7Hnvvrqq/m+79mzJz4+PsycOZOdO3cycOBAY4YqjEzanrKTtqf0pO0RIO3Oo5B2p/Sk3RFQ9ueOqFhy26mi2rKqPALQUIqd1hQREUHfvn3zEjMAQ4cOJScnh2vXrhk7tgrjxIkTtGjRQq+vwqZ8hYeHM27cOPz8/Jg1a1aZ4xgxYgSgW7KysrCysiq0k5fbyBbVscvdr1ari7y2Klbnj4mJYfTo0Tg4OLBo0aICc/j1MXjwYKytrSvV34konLQ9ZSdtT+lI2yNySbtTdtLulI60OyJXWZ87omLJbaeKasuqYjtmaMWOnElPT6dWrVr59uV+n5aWZryoKpgGDRowZ84cvc59OJEFcPv2bf7zn/9gb2/PihUrsLGxKXMcNWvWxNzcnMTExDLfo7wVNYQtd9jbv/++cjk6OmJhYZF33r+vVSgUhQ6Zq8ySk5MZNWoUycnJbNq0qcw/n1KpxM3NrVL9nYjCSdtTdtL26E/aHvEwaXfKTtod/Um7Ix5W1ueOqFhyn8cxMTEF/s9iYmJkSXQ9FJucAVAoFIV+X50qpLu6utKvX79SXxcfH8+IESNQq9WsXbuWmjVrPlIcd+7cISsrC2dn50e6T3ny9/cnODiY1NTUfEW+QkND844XRqlU4uvry7lz5wocO3v2LF5eXlhbWxsnaBPIzMxkzJgxXLt2jTVr1tCgQYMy3ysrK4vbt28XWlhQVC7S9pSdtD36kbZH/Ju0O2Un7Y5+pN0R/1bW546oWBo3bgzAuXPnaNq0ad7+u3fvcufOnbzjomgljh88dOgQ33zzTd7Xpk2bUCgU7NmzJ9/+b775hjVr1pRDyJVDWloar7/+Onfv3mXFihV4eXkVee6NGzfyLVOemZlZ6FKSy5YtA6BLly6GD9hIevbsSVZWFlu3bs3bp1ar2bFjB61bt84r/nXr1q0CSyj26NGDM2fO5KvsffXqVY4ePUrPnj3L5wcoBzk5OUyYMIEzZ86waNEiWrZsWeh5hf2OChtSvnr1ajIzM3nssceMEa6o4KTt0ZG2p2TS9ghDkXZHR9qdkkm7Iwqj73NHVGw+Pj40aNCALVu2kJOTk7d/06ZNKJVKnnnmGRNGVzkotMUMgSltllKhUMhSZ/e9+eab7N+/n/79+9O+fft8x2rWrJmvuF3Xrl0BOHDgAACRkZH07duX559/ngYNGuStXHDkyBF69erFggULyu8HMYC3336b/fv38+qrr+Lp6UlISAjnzp1j7dq1BAYGAjBs2DCOHz/OxYsX865LSUmhb9++pKenM3z4cFQqFWvWrEGr1bJz5069l1ys6D755BPWrVvHU089VWBVC1tbW7p37w4U/jsKCAigV69e+Pr6YmFhwbFjx/j5558JDAxk3bp1mJmVODhOVDHS9jwgbU/xpO0RhiLtzgPS7hRP2h1RFH2eO8K0cpPm4eHhfP/99/Tv3x93d3dq1KjB0KFDAfj1119544036NChA7169eLSpUts2LCBQYMG8eGHH5ow+sqh2OTM8ePHS31DfaryVwddu3YlKiqq0GPt2rUjODg437nwoKOSlJTErFmzCA0NJTo6Go1Gg7e3N3379iUoKAiVSmX8H8CAMjMzWbhwId999x2JiYn4+fnxzjvv0KlTp7xzCnsRBt2w5tmzZ3P48GE0Gg3t27fnvffew8PDo7x/DKPJ/dkLU69evby/i8J+R++//z5//fUXt2/fJisri3r16tGrVy9Gjx4tRbeqKWl7HpC2p3jS9ghDkXbnAWl3iiftjiiKPs8dYVp+fn6F7n/4uQuwb98+li5dSnh4OM7OzvTv358333xTEqh6KDY5I4QQQgghhBBCCCGMq/Rr1gkhhBBCCCGEEEIIg5HkjBBCCCGEEEIIIYQJSXJGCCGEEEIIIYQQwoQkOSOEEEIIIYQQQghhQpKcEUIIIYQQQgghhDAhSc4IIYQQQgghhBBCmJAkZ4QQQgghhBBCCCFMSJIzQgghhBBCCCGEERw7dgw/Pz927Nhh6lDKZMeOHfj5+XHs2DFTh1LlSXJGCCGEEEIIIYQoB5GRkSxZsoTz58+bOpQ8x44dY8mSJSQlJZk6lGpNodVqtaYOQgghhBBCCCGEqGo0Gg1ZWVmYmZmhUqk4duwYQUFBzJkzh379+pk6PACWLFnC0qVL2b9/P+7u7vmO5eTkkJ2djbm5OUqljO0wJvntCiGEEEIIIYQQRqBUKrG0tESlUpXL46WkpBj0fiqVCktLS0nMlAP5DQshhBBCCCGEEEbwcM2ZHTt2EBQUBMC0adPw8/PDz8+PYcOG5Z2v1WrZuHEj/fr1IyAggFatWjFs2DCOHj2a776RkZH4+fmxZMkSfvzxR/r160eLFi34+OOPAQgPD+fDDz/kueeeo1WrVgQEBNCvXz+2bt2a7z5Tp05l6dKlAHTr1i0vpiVLlgBF15yJi4vjo48+4oknnqBZs2Y88cQTfPTRR8THx+c7L/f6I0eOsHr1arp3706zZs3o0aMHISEhBvgNVx1mpg5ACCGEEEIIIYSo6tq2bcuYMWNYvnw5gwYNIjAwEICaNWvmnfPf//6XH374gR49etCvXz/UajXfffcdI0aMYMmSJXTr1i3fPfft20dwcDCDBw/m5Zdfxs7ODoDjx49z8uRJnnzySdzd3UlPT2fPnj28//77xMXFMXr0aAAGDRpESkoKe/fuZdq0aTg5OQHg5+dX5M+RnJzM4MGDuX79Ov3796dJkyacP3+eTZs2cfToUbZu3ZoXR64FCxaQkZHBoEGDsLCwYNOmTUydOhVPT8+830N1J8kZIYQQQgghhBDCyDw8POjUqRPLly+nZcuW9O7dO9/xvXv38t133zFz5kwGDRqUtz8oKIiBAwfyySef0LVrVxQKRd6xK1eusHv3bho2bJjvXr1792bw4MH59r322mu8+uqrrFixghEjRmBubk6rVq3w8/Nj7969dO/evUDNmcKsWrWKa9euMWPGDF555ZW8/Y0bN2bmzJmsWrWKCRMm5LtGrVazbds2LCwsAOjZsyfdunVjw4YNkpy5T6Y1CSGEEEIIIYQQJrZ7925sbW3p3r07cXFxeV9JSUl07dqVqKgorl27lu+aJ554okBiBsDGxiZvOzMzk/j4eBISEujcuTMpKSlcvXq1zHHu3bsXZ2fnfAkk0I3CcXZ2Zt++fQWuGTJkSF5iBsDNzY369esX+HmqMxk5I4QQQgghhBBCmFh4eDipqal06tSpyHNiY2OpX79+3vfe3t6FnpeamsrSpUv56aefuH37doHjj7JsdmRkJM2aNcPMLH86wczMDG9vb8LCwgpc4+HhUWCfo6MjUVFRZY6jqpHkjBBCCCGEEEIIYWJarRZnZ2fmzZtX5Dk+Pj75vre2ti70vEmTJnHw4EEGDhxI27ZtcXR0RKVScejQIdasWYNGozFo7CWR1Z5KJskZIYQQQgghhBCiHDxcL+bfvLy8uHbtGgEBAdja2pb5MZKSkjh48CC9e/dm5syZ+Y79+eefpYqpMB4eHkRERJCdnZ1v9Ex2djbXrl0rdJSMKJmkr4QQQgghhBBCiHKQWwsmMTGxwLE+ffqg0WiYP39+odfeu3dPr8fIHaWi1Wrz7Y+Oji6wlHZJMRUmtybOv+/17bffEhcXR/fu3fW6j8hPRs4IIYQQQgghhBDloFGjRtja2rJx40asrKyoUaMGzs7OdOzYkZ49e9KvXz/Wr1/PP//8w1NPPYWTkxN37tzhzJkzXL9+nf3795f4GHZ2dnTu3Jndu3djZWVF8+bNiYqKYsuWLbi7u5OQkJDv/ICAAADmzp3LCy+8gKWlJT4+Pvj6+hZ6/5EjR7Jnzx5mzpxJWFgYjRs35vz582zbto369eszcuTIR/49VUeSnBFCCCGEEEIIIcqBlZUVCxYsYOHChcyePRu1Wk27du3o2LEjAHPmzKF9+/Z8++23fPXVV2RlZeHq6kqTJk2YNGmS3o/z+eefM2/ePA4cOEBISAje3t5MnDgRMzMzpk2blu/cwMBAJk+ezObNm5k+fTrZ2dmMGzeuyOSMvb09mzZtYvHixRw4cIAdO3bg4uLCyy+/zPjx47Gzsyv7L6gaU2j/PdZJCCGEEEIIIYQQQpQbqTkjhBBCCCGEEEIIYUKSnBFCCCGEEEIIIYQwIUnOCCGEEEIIIYQQQpiQJGeEEEIIIYQQQgghTEiSM0IIIYQQQgghhBAmJMkZIYQQQgghhBBCCBOS5IwQQgghhBBCCCGECUlyRgghhBBCCCGEEMKEJDkjhBBCCCGEEEIIYUKSnBFCCCGEEEIIIYQwof8HSQfW1NhKFdUAAAAASUVORK5CYII=\n",
"text/plain": [
""
]
},
"metadata": {
"filenames": {
"image/png": "/home/runner/work/BayesianAnalysiswithPython2nd/BayesianAnalysiswithPython2nd/BayesianAnalysiswithPython2nd/_build/jupyter_execute/Append-01-MCMC_Tutorial_9_28.png"
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"output_type": "display_data"
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
"filenames": {
"image/png": "/home/runner/work/BayesianAnalysiswithPython2nd/BayesianAnalysiswithPython2nd/BayesianAnalysiswithPython2nd/_build/jupyter_execute/Append-01-MCMC_Tutorial_9_29.png"
}
},
"output_type": "display_data"
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
"filenames": {
"image/png": "/home/runner/work/BayesianAnalysiswithPython2nd/BayesianAnalysiswithPython2nd/BayesianAnalysiswithPython2nd/_build/jupyter_execute/Append-01-MCMC_Tutorial_9_30.png"
}
},
"output_type": "display_data"
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
"filenames": {
"image/png": "/home/runner/work/BayesianAnalysiswithPython2nd/BayesianAnalysiswithPython2nd/BayesianAnalysiswithPython2nd/_build/jupyter_execute/Append-01-MCMC_Tutorial_9_31.png"
}
},
"output_type": "display_data"
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
"filenames": {
"image/png": "/home/runner/work/BayesianAnalysiswithPython2nd/BayesianAnalysiswithPython2nd/BayesianAnalysiswithPython2nd/_build/jupyter_execute/Append-01-MCMC_Tutorial_9_32.png"
}
},
"output_type": "display_data"
}
],
"source": [
"np.random.seed(123) \n",
"sampler(data, samples=20, mu_init=-1., plot=True)"
]
},
{
"cell_type": "markdown",
"id": "01a8122e",
"metadata": {},
"source": [
"MCMC 的神奇之处在于,只要做足够长的时间,就会产生来自模型后验分布的样本。有一个严格的数学证明可以保证这一点,但在这里不会详细说明。为了解这会产生什么,让我们抽取大量样本(建议值)并绘制其曲线图。"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "2c520da6",
"metadata": {},
"outputs": [
{
"ename": "KeyboardInterrupt",
"evalue": "",
"output_type": "error",
"traceback": [
"\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
"\u001b[0;31mKeyboardInterrupt\u001b[0m Traceback (most recent call last)",
"Input \u001b[0;32mIn [6]\u001b[0m, in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[0;32m----> 1\u001b[0m posterior \u001b[38;5;241m=\u001b[39m \u001b[43msampler\u001b[49m\u001b[43m(\u001b[49m\u001b[43mdata\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43msamples\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[38;5;241;43m15000\u001b[39;49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mmu_init\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[38;5;241;43m1.\u001b[39;49m\u001b[43m)\u001b[49m \n\u001b[1;32m 2\u001b[0m fig, ax \u001b[38;5;241m=\u001b[39m plt\u001b[38;5;241m.\u001b[39msubplots() \n\u001b[1;32m 3\u001b[0m ax\u001b[38;5;241m.\u001b[39mplot(posterior) \n",
"Input \u001b[0;32mIn [4]\u001b[0m, in \u001b[0;36msampler\u001b[0;34m(data, samples, mu_init, proposal_width, plot, mu_prior_mu, mu_prior_sd)\u001b[0m\n\u001b[1;32m 3\u001b[0m posterior \u001b[38;5;241m=\u001b[39m [mu_current] \n\u001b[1;32m 5\u001b[0m \u001b[38;5;28;01mfor\u001b[39;00m i \u001b[38;5;129;01min\u001b[39;00m \u001b[38;5;28mrange\u001b[39m(samples): \n\u001b[1;32m 6\u001b[0m \u001b[38;5;66;03m# 提出一个建议值 suggest new position \u001b[39;00m\n\u001b[0;32m----> 7\u001b[0m mu_proposal \u001b[38;5;241m=\u001b[39m \u001b[43mnorm\u001b[49m\u001b[43m(\u001b[49m\u001b[43mmu_current\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mproposal_width\u001b[49m\u001b[43m)\u001b[49m\u001b[38;5;241m.\u001b[39mrvs() \n\u001b[1;32m 9\u001b[0m \u001b[38;5;66;03m# 计算当前值和建议值的似然 Compute likelihood by multiplying probabilities of each data point \u001b[39;00m\n\u001b[1;32m 10\u001b[0m likelihood_current \u001b[38;5;241m=\u001b[39m norm(mu_current, \u001b[38;5;241m1\u001b[39m)\u001b[38;5;241m.\u001b[39mpdf(data)\u001b[38;5;241m.\u001b[39mprod() \n",
"File \u001b[0;32m/opt/hostedtoolcache/Python/3.8.12/x64/lib/python3.8/site-packages/scipy/stats/_distn_infrastructure.py:866\u001b[0m, in \u001b[0;36mrv_generic.__call__\u001b[0;34m(self, *args, **kwds)\u001b[0m\n\u001b[1;32m 865\u001b[0m \u001b[38;5;28;01mdef\u001b[39;00m \u001b[38;5;21m__call__\u001b[39m(\u001b[38;5;28mself\u001b[39m, \u001b[38;5;241m*\u001b[39margs, \u001b[38;5;241m*\u001b[39m\u001b[38;5;241m*\u001b[39mkwds):\n\u001b[0;32m--> 866\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[38;5;28;43mself\u001b[39;49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mfreeze\u001b[49m\u001b[43m(\u001b[49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[43margs\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[43mkwds\u001b[49m\u001b[43m)\u001b[49m\n",
"File \u001b[0;32m/opt/hostedtoolcache/Python/3.8.12/x64/lib/python3.8/site-packages/scipy/stats/_distn_infrastructure.py:863\u001b[0m, in \u001b[0;36mrv_generic.freeze\u001b[0;34m(self, *args, **kwds)\u001b[0m\n\u001b[1;32m 848\u001b[0m \u001b[38;5;28;01mdef\u001b[39;00m \u001b[38;5;21mfreeze\u001b[39m(\u001b[38;5;28mself\u001b[39m, \u001b[38;5;241m*\u001b[39margs, \u001b[38;5;241m*\u001b[39m\u001b[38;5;241m*\u001b[39mkwds):\n\u001b[1;32m 849\u001b[0m \u001b[38;5;124;03m\"\"\"Freeze the distribution for the given arguments.\u001b[39;00m\n\u001b[1;32m 850\u001b[0m \n\u001b[1;32m 851\u001b[0m \u001b[38;5;124;03m Parameters\u001b[39;00m\n\u001b[0;32m (...)\u001b[0m\n\u001b[1;32m 861\u001b[0m \n\u001b[1;32m 862\u001b[0m \u001b[38;5;124;03m \"\"\"\u001b[39;00m\n\u001b[0;32m--> 863\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[43mrv_frozen\u001b[49m\u001b[43m(\u001b[49m\u001b[38;5;28;43mself\u001b[39;49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[43margs\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[43mkwds\u001b[49m\u001b[43m)\u001b[49m\n",
"File \u001b[0;32m/opt/hostedtoolcache/Python/3.8.12/x64/lib/python3.8/site-packages/scipy/stats/_distn_infrastructure.py:439\u001b[0m, in \u001b[0;36mrv_frozen.__init__\u001b[0;34m(self, dist, *args, **kwds)\u001b[0m\n\u001b[1;32m 436\u001b[0m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mkwds \u001b[38;5;241m=\u001b[39m kwds\n\u001b[1;32m 438\u001b[0m \u001b[38;5;66;03m# create a new instance\u001b[39;00m\n\u001b[0;32m--> 439\u001b[0m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mdist \u001b[38;5;241m=\u001b[39m \u001b[43mdist\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[38;5;18;43m__class__\u001b[39;49m\u001b[43m(\u001b[49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[43mdist\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43m_updated_ctor_param\u001b[49m\u001b[43m(\u001b[49m\u001b[43m)\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m 441\u001b[0m shapes, _, _ \u001b[38;5;241m=\u001b[39m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mdist\u001b[38;5;241m.\u001b[39m_parse_args(\u001b[38;5;241m*\u001b[39margs, \u001b[38;5;241m*\u001b[39m\u001b[38;5;241m*\u001b[39mkwds)\n\u001b[1;32m 442\u001b[0m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39ma, \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mb \u001b[38;5;241m=\u001b[39m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mdist\u001b[38;5;241m.\u001b[39m_get_support(\u001b[38;5;241m*\u001b[39mshapes)\n",
"File \u001b[0;32m/opt/hostedtoolcache/Python/3.8.12/x64/lib/python3.8/site-packages/scipy/stats/_distn_infrastructure.py:1727\u001b[0m, in \u001b[0;36mrv_continuous.__init__\u001b[0;34m(self, momtype, a, b, xtol, badvalue, name, longname, shapes, extradoc, seed)\u001b[0m\n\u001b[1;32m 1723\u001b[0m \u001b[38;5;28;01mdef\u001b[39;00m \u001b[38;5;21m__init__\u001b[39m(\u001b[38;5;28mself\u001b[39m, momtype\u001b[38;5;241m=\u001b[39m\u001b[38;5;241m1\u001b[39m, a\u001b[38;5;241m=\u001b[39m\u001b[38;5;28;01mNone\u001b[39;00m, b\u001b[38;5;241m=\u001b[39m\u001b[38;5;28;01mNone\u001b[39;00m, xtol\u001b[38;5;241m=\u001b[39m\u001b[38;5;241m1e-14\u001b[39m,\n\u001b[1;32m 1724\u001b[0m badvalue\u001b[38;5;241m=\u001b[39m\u001b[38;5;28;01mNone\u001b[39;00m, name\u001b[38;5;241m=\u001b[39m\u001b[38;5;28;01mNone\u001b[39;00m, longname\u001b[38;5;241m=\u001b[39m\u001b[38;5;28;01mNone\u001b[39;00m,\n\u001b[1;32m 1725\u001b[0m shapes\u001b[38;5;241m=\u001b[39m\u001b[38;5;28;01mNone\u001b[39;00m, extradoc\u001b[38;5;241m=\u001b[39m\u001b[38;5;28;01mNone\u001b[39;00m, seed\u001b[38;5;241m=\u001b[39m\u001b[38;5;28;01mNone\u001b[39;00m):\n\u001b[0;32m-> 1727\u001b[0m \u001b[38;5;28;43msuper\u001b[39;49m\u001b[43m(\u001b[49m\u001b[43m)\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[38;5;21;43m__init__\u001b[39;49m\u001b[43m(\u001b[49m\u001b[43mseed\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m 1729\u001b[0m \u001b[38;5;66;03m# save the ctor parameters, cf generic freeze\u001b[39;00m\n\u001b[1;32m 1730\u001b[0m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39m_ctor_param \u001b[38;5;241m=\u001b[39m \u001b[38;5;28mdict\u001b[39m(\n\u001b[1;32m 1731\u001b[0m momtype\u001b[38;5;241m=\u001b[39mmomtype, a\u001b[38;5;241m=\u001b[39ma, b\u001b[38;5;241m=\u001b[39mb, xtol\u001b[38;5;241m=\u001b[39mxtol,\n\u001b[1;32m 1732\u001b[0m badvalue\u001b[38;5;241m=\u001b[39mbadvalue, name\u001b[38;5;241m=\u001b[39mname, longname\u001b[38;5;241m=\u001b[39mlongname,\n\u001b[1;32m 1733\u001b[0m shapes\u001b[38;5;241m=\u001b[39mshapes, extradoc\u001b[38;5;241m=\u001b[39mextradoc, seed\u001b[38;5;241m=\u001b[39mseed)\n",
"File \u001b[0;32m/opt/hostedtoolcache/Python/3.8.12/x64/lib/python3.8/site-packages/scipy/stats/_distn_infrastructure.py:636\u001b[0m, in \u001b[0;36mrv_generic.__init__\u001b[0;34m(self, seed)\u001b[0m\n\u001b[1;32m 633\u001b[0m \u001b[38;5;28msuper\u001b[39m()\u001b[38;5;241m.\u001b[39m\u001b[38;5;21m__init__\u001b[39m()\n\u001b[1;32m 635\u001b[0m \u001b[38;5;66;03m# figure out if _stats signature has 'moments' keyword\u001b[39;00m\n\u001b[0;32m--> 636\u001b[0m sig \u001b[38;5;241m=\u001b[39m \u001b[43m_getfullargspec\u001b[49m\u001b[43m(\u001b[49m\u001b[38;5;28;43mself\u001b[39;49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43m_stats\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m 637\u001b[0m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39m_stats_has_moments \u001b[38;5;241m=\u001b[39m ((sig\u001b[38;5;241m.\u001b[39mvarkw \u001b[38;5;129;01mis\u001b[39;00m \u001b[38;5;129;01mnot\u001b[39;00m \u001b[38;5;28;01mNone\u001b[39;00m) \u001b[38;5;129;01mor\u001b[39;00m\n\u001b[1;32m 638\u001b[0m (\u001b[38;5;124m'\u001b[39m\u001b[38;5;124mmoments\u001b[39m\u001b[38;5;124m'\u001b[39m \u001b[38;5;129;01min\u001b[39;00m sig\u001b[38;5;241m.\u001b[39margs) \u001b[38;5;129;01mor\u001b[39;00m\n\u001b[1;32m 639\u001b[0m (\u001b[38;5;124m'\u001b[39m\u001b[38;5;124mmoments\u001b[39m\u001b[38;5;124m'\u001b[39m \u001b[38;5;129;01min\u001b[39;00m sig\u001b[38;5;241m.\u001b[39mkwonlyargs))\n\u001b[1;32m 640\u001b[0m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39m_random_state \u001b[38;5;241m=\u001b[39m check_random_state(seed)\n",
"File \u001b[0;32m/opt/hostedtoolcache/Python/3.8.12/x64/lib/python3.8/site-packages/scipy/_lib/_util.py:364\u001b[0m, in \u001b[0;36mgetfullargspec_no_self\u001b[0;34m(func)\u001b[0m\n\u001b[1;32m 343\u001b[0m \u001b[38;5;28;01mdef\u001b[39;00m \u001b[38;5;21mgetfullargspec_no_self\u001b[39m(func):\n\u001b[1;32m 344\u001b[0m \u001b[38;5;124;03m\"\"\"inspect.getfullargspec replacement using inspect.signature.\u001b[39;00m\n\u001b[1;32m 345\u001b[0m \n\u001b[1;32m 346\u001b[0m \u001b[38;5;124;03m If func is a bound method, do not list the 'self' parameter.\u001b[39;00m\n\u001b[0;32m (...)\u001b[0m\n\u001b[1;32m 362\u001b[0m \n\u001b[1;32m 363\u001b[0m \u001b[38;5;124;03m \"\"\"\u001b[39;00m\n\u001b[0;32m--> 364\u001b[0m sig \u001b[38;5;241m=\u001b[39m \u001b[43minspect\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43msignature\u001b[49m\u001b[43m(\u001b[49m\u001b[43mfunc\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m 365\u001b[0m args \u001b[38;5;241m=\u001b[39m [\n\u001b[1;32m 366\u001b[0m p\u001b[38;5;241m.\u001b[39mname \u001b[38;5;28;01mfor\u001b[39;00m p \u001b[38;5;129;01min\u001b[39;00m sig\u001b[38;5;241m.\u001b[39mparameters\u001b[38;5;241m.\u001b[39mvalues()\n\u001b[1;32m 367\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m p\u001b[38;5;241m.\u001b[39mkind \u001b[38;5;129;01min\u001b[39;00m [inspect\u001b[38;5;241m.\u001b[39mParameter\u001b[38;5;241m.\u001b[39mPOSITIONAL_OR_KEYWORD,\n\u001b[1;32m 368\u001b[0m inspect\u001b[38;5;241m.\u001b[39mParameter\u001b[38;5;241m.\u001b[39mPOSITIONAL_ONLY]\n\u001b[1;32m 369\u001b[0m ]\n\u001b[1;32m 370\u001b[0m varargs \u001b[38;5;241m=\u001b[39m [\n\u001b[1;32m 371\u001b[0m p\u001b[38;5;241m.\u001b[39mname \u001b[38;5;28;01mfor\u001b[39;00m p \u001b[38;5;129;01min\u001b[39;00m sig\u001b[38;5;241m.\u001b[39mparameters\u001b[38;5;241m.\u001b[39mvalues()\n\u001b[1;32m 372\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m p\u001b[38;5;241m.\u001b[39mkind \u001b[38;5;241m==\u001b[39m inspect\u001b[38;5;241m.\u001b[39mParameter\u001b[38;5;241m.\u001b[39mVAR_POSITIONAL\n\u001b[1;32m 373\u001b[0m ]\n",
"File \u001b[0;32m/opt/hostedtoolcache/Python/3.8.12/x64/lib/python3.8/inspect.py:3105\u001b[0m, in \u001b[0;36msignature\u001b[0;34m(obj, follow_wrapped)\u001b[0m\n\u001b[1;32m 3103\u001b[0m \u001b[38;5;28;01mdef\u001b[39;00m \u001b[38;5;21msignature\u001b[39m(obj, \u001b[38;5;241m*\u001b[39m, follow_wrapped\u001b[38;5;241m=\u001b[39m\u001b[38;5;28;01mTrue\u001b[39;00m):\n\u001b[1;32m 3104\u001b[0m \u001b[38;5;124;03m\"\"\"Get a signature object for the passed callable.\"\"\"\u001b[39;00m\n\u001b[0;32m-> 3105\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[43mSignature\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mfrom_callable\u001b[49m\u001b[43m(\u001b[49m\u001b[43mobj\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mfollow_wrapped\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mfollow_wrapped\u001b[49m\u001b[43m)\u001b[49m\n",
"File \u001b[0;32m/opt/hostedtoolcache/Python/3.8.12/x64/lib/python3.8/inspect.py:2854\u001b[0m, in \u001b[0;36mSignature.from_callable\u001b[0;34m(cls, obj, follow_wrapped)\u001b[0m\n\u001b[1;32m 2851\u001b[0m \u001b[38;5;129m@classmethod\u001b[39m\n\u001b[1;32m 2852\u001b[0m \u001b[38;5;28;01mdef\u001b[39;00m \u001b[38;5;21mfrom_callable\u001b[39m(\u001b[38;5;28mcls\u001b[39m, obj, \u001b[38;5;241m*\u001b[39m, follow_wrapped\u001b[38;5;241m=\u001b[39m\u001b[38;5;28;01mTrue\u001b[39;00m):\n\u001b[1;32m 2853\u001b[0m \u001b[38;5;124;03m\"\"\"Constructs Signature for the given callable object.\"\"\"\u001b[39;00m\n\u001b[0;32m-> 2854\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[43m_signature_from_callable\u001b[49m\u001b[43m(\u001b[49m\u001b[43mobj\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43msigcls\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[38;5;28;43mcls\u001b[39;49m\u001b[43m,\u001b[49m\n\u001b[1;32m 2855\u001b[0m \u001b[43m \u001b[49m\u001b[43mfollow_wrapper_chains\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mfollow_wrapped\u001b[49m\u001b[43m)\u001b[49m\n",
"File \u001b[0;32m/opt/hostedtoolcache/Python/3.8.12/x64/lib/python3.8/inspect.py:2233\u001b[0m, in \u001b[0;36m_signature_from_callable\u001b[0;34m(obj, follow_wrapper_chains, skip_bound_arg, sigcls)\u001b[0m\n\u001b[1;32m 2228\u001b[0m \u001b[38;5;28;01mraise\u001b[39;00m \u001b[38;5;167;01mTypeError\u001b[39;00m(\u001b[38;5;124m'\u001b[39m\u001b[38;5;132;01m{!r}\u001b[39;00m\u001b[38;5;124m is not a callable object\u001b[39m\u001b[38;5;124m'\u001b[39m\u001b[38;5;241m.\u001b[39mformat(obj))\n\u001b[1;32m 2230\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;28misinstance\u001b[39m(obj, types\u001b[38;5;241m.\u001b[39mMethodType):\n\u001b[1;32m 2231\u001b[0m \u001b[38;5;66;03m# In this case we skip the first parameter of the underlying\u001b[39;00m\n\u001b[1;32m 2232\u001b[0m \u001b[38;5;66;03m# function (usually `self` or `cls`).\u001b[39;00m\n\u001b[0;32m-> 2233\u001b[0m sig \u001b[38;5;241m=\u001b[39m \u001b[43m_signature_from_callable\u001b[49m\u001b[43m(\u001b[49m\n\u001b[1;32m 2234\u001b[0m \u001b[43m \u001b[49m\u001b[43mobj\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[38;5;18;43m__func__\u001b[39;49m\u001b[43m,\u001b[49m\n\u001b[1;32m 2235\u001b[0m \u001b[43m \u001b[49m\u001b[43mfollow_wrapper_chains\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mfollow_wrapper_chains\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m 2236\u001b[0m \u001b[43m \u001b[49m\u001b[43mskip_bound_arg\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mskip_bound_arg\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m 2237\u001b[0m \u001b[43m \u001b[49m\u001b[43msigcls\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43msigcls\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m 2239\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m skip_bound_arg:\n\u001b[1;32m 2240\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m _signature_bound_method(sig)\n",
"File \u001b[0;32m/opt/hostedtoolcache/Python/3.8.12/x64/lib/python3.8/inspect.py:2304\u001b[0m, in \u001b[0;36m_signature_from_callable\u001b[0;34m(obj, follow_wrapper_chains, skip_bound_arg, sigcls)\u001b[0m\n\u001b[1;32m 2299\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m sig\u001b[38;5;241m.\u001b[39mreplace(parameters\u001b[38;5;241m=\u001b[39mnew_params)\n\u001b[1;32m 2301\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m isfunction(obj) \u001b[38;5;129;01mor\u001b[39;00m _signature_is_functionlike(obj):\n\u001b[1;32m 2302\u001b[0m \u001b[38;5;66;03m# If it's a pure Python function, or an object that is duck type\u001b[39;00m\n\u001b[1;32m 2303\u001b[0m \u001b[38;5;66;03m# of a Python function (Cython functions, for instance), then:\u001b[39;00m\n\u001b[0;32m-> 2304\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[43m_signature_from_function\u001b[49m\u001b[43m(\u001b[49m\u001b[43msigcls\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mobj\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m 2305\u001b[0m \u001b[43m \u001b[49m\u001b[43mskip_bound_arg\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mskip_bound_arg\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m 2307\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m _signature_is_builtin(obj):\n\u001b[1;32m 2308\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m _signature_from_builtin(sigcls, obj,\n\u001b[1;32m 2309\u001b[0m skip_bound_arg\u001b[38;5;241m=\u001b[39mskip_bound_arg)\n",
"File \u001b[0;32m/opt/hostedtoolcache/Python/3.8.12/x64/lib/python3.8/inspect.py:2214\u001b[0m, in \u001b[0;36m_signature_from_function\u001b[0;34m(cls, func, skip_bound_arg)\u001b[0m\n\u001b[1;32m 2208\u001b[0m parameters\u001b[38;5;241m.\u001b[39mappend(Parameter(name, annotation\u001b[38;5;241m=\u001b[39mannotation,\n\u001b[1;32m 2209\u001b[0m kind\u001b[38;5;241m=\u001b[39m_VAR_KEYWORD))\n\u001b[1;32m 2211\u001b[0m \u001b[38;5;66;03m# Is 'func' is a pure Python function - don't validate the\u001b[39;00m\n\u001b[1;32m 2212\u001b[0m \u001b[38;5;66;03m# parameters list (for correct order and defaults), it should be OK.\u001b[39;00m\n\u001b[1;32m 2213\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[38;5;28mcls\u001b[39m(parameters,\n\u001b[0;32m-> 2214\u001b[0m return_annotation\u001b[38;5;241m=\u001b[39m\u001b[43mannotations\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mget\u001b[49m(\u001b[38;5;124m'\u001b[39m\u001b[38;5;124mreturn\u001b[39m\u001b[38;5;124m'\u001b[39m, _empty),\n\u001b[1;32m 2215\u001b[0m __validate_parameters__\u001b[38;5;241m=\u001b[39mis_duck_function)\n",
"\u001b[0;31mKeyboardInterrupt\u001b[0m: "
]
}
],
"source": [
"posterior = sampler(data, samples=15000, mu_init=1.) \n",
"fig, ax = plt.subplots() \n",
"ax.plot(posterior) \n",
"_ = ax.set(xlabel='sample', ylabel='mu'); "
]
},
{
"cell_type": "markdown",
"id": "82bfb367",
"metadata": {},
"source": [
"代码抽取的所有样本构成迹。**要得到近似的后验,只需计算迹的直方图即可**。需要注意的是,尽管后验直方图看起来与上面为拟合模型而生成的采样数据直方图非常像,但其实两者应当是完全分离的。下图表示了我们对 $\\mu$ 的信念,本例中后验碰巧也是正态分布,因此与似然和先验相似,但实际上对于不同模型,后验可能具有与似然或先验完全不同的形状。"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "0bcd3ff1",
"metadata": {},
"outputs": [],
"source": [
"ax = plt.subplot() \n",
"sns.distplot(posterior[500:], ax=ax, label='estimated posterior') \n",
"x = np.linspace(-.5, .5, 500) \n",
"post = calc_posterior_analytical(data, x, 0, 1) \n",
"ax.plot(x, post, 'g', label='analytic posterior') \n",
"_ = ax.set(xlabel='mu', ylabel='belief'); \n",
"ax.legend();"
]
},
{
"cell_type": "markdown",
"id": "3f96bf0f",
"metadata": {},
"source": [
"如您所见,通过上面过程,我们得到了与解析解非常吻合的后验分布样本。\n",
"\n",
"## 6 建议宽度\n",
"\n",
"上面代码将建议宽度 `proposal_width` 设置为 0.5。事实证明,这是一个不错的值。一般来说,不希望宽度太窄,因为宽度越窄就需要越长时间来探索整个参数空间,从而造成采样效率会下降,并且出现随机游走的现象:"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "deb50f77",
"metadata": {},
"outputs": [],
"source": [
"posterior_small = sampler(data, samples=5000, mu_init=1., proposal_width=.01) \n",
"fig, ax = plt.subplots() \n",
"ax.plot(posterior_small)\n",
"_ = ax.set(xlabel='sample', ylabel='mu')"
]
},
{
"cell_type": "markdown",
"id": "d7af1b24",
"metadata": {},
"source": [
"但你也不希望它太大,以至于永远不会接受移动:"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "874abc92",
"metadata": {},
"outputs": [],
"source": [
"posterior_large = sampler(data, samples=5000, mu_init=1., proposal_width=3.) \n",
"fig, ax = plt.subplots() \n",
"ax.plot(posterior_large); plt.xlabel('sample'); plt.ylabel('mu')\n",
"_ = ax.set(xlabel='sample', ylabel='mu')"
]
},
{
"cell_type": "markdown",
"id": "37598492",
"metadata": {},
"source": [
"注意,不管建议宽度如何选择,数学证明保证了我们仍在从目标后验中采样,只是效率较低:"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "089bdf78",
"metadata": {},
"outputs": [],
"source": [
"sns.distplot(posterior_small[1000:], label='Small step size') \n",
"sns.distplot(posterior_large[1000:], label='Large step size')\n",
"_ = plt.legend()"
]
},
{
"cell_type": "markdown",
"id": "6fb9d6d8",
"metadata": {},
"source": [
"更多样本最终会看起来像真实后验,关键是样本应当彼此独立,但显然在本例中并非如此。因此,可以采用自相关性来量化评估采样器的效果,即分析第 $i$ 个样本与第 $i-1$ 、$i-2$ 个样本的相关性如何:"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "a532d996",
"metadata": {},
"outputs": [],
"source": [
"from pymc3.stats import autocorr \n",
"lags = np.arange(1, 100) \n",
"fig, ax = plt.subplots() \n",
"\n",
"ax.plot(lags, [autocorr(posterior_large, l) for l in lags], label='large step size') \n",
"ax.plot(lags, [autocorr(posterior_small, l) for l in lags], label='small step size') \n",
"ax.plot(lags, [autocorr(posterior, l) for l in lags], label='medium step size') \n",
"\n",
"ax.legend(loc=0) \n",
"_ = ax.set(xlabel='lag', ylabel='autocorrelation', ylim=(-.1, 1))"
]
},
{
"cell_type": "markdown",
"id": "54a33432",
"metadata": {},
"source": [
"显然,我们希望有一种智能方法来自动计算出正确的步宽。一种常见方法是不断调整建议宽度,以便大约 50% 的建议被拒绝。\n",
"\n",
"## 7 扩展到更复杂的模型\n",
"\n",
"我们还可以为标准差添加一个 $\\sigma$ 参数,然后对第二个参数执行相同的步骤。在此情况下,要为 $\\mu$ 和 $\\sigma$ 两者生成建议值,不过算法逻辑几乎相同。\n",
"\n",
"我们也可以针对不同的模型从非常不同的分布(如:二项分布)抽取数据,但依然使用相同算法并得到正确后验。这就是概率编程巨大的好处:只需定义想要的模型,让 MCMC 负责推断。\n",
"\n",
"例如:下面的模型可以很容易地用 PyMC3 编写。我们继续使用 `Metropolis 采样器`(自动调整建议宽度),并得到了相同的结果。有关更多信息以及更复杂的示例,请参阅 PyMC3 文档 (http://pymc-devs.github.io/pymc3/getting_started/)。"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "5954c122",
"metadata": {},
"outputs": [],
"source": [
"import pymc3 as pm \n",
"with pm.Model(): \n",
" mu = pm.Normal('mu', 0, 1) \n",
" sigma = 1. \n",
" returns = pm.Normal('returns', mu=mu, sd=sigma, observed=data) \n",
" \n",
" step = pm.Metropolis() \n",
" trace = pm.sample(15000, step) \n",
" \n",
"sns.distplot(trace[2000:]['mu'], label='PyMC3 sampler')\n",
"sns.distplot(posterior[500:], label='Hand-written sampler')\n",
"plt.legend()"
]
},
{
"cell_type": "markdown",
"id": "ac765c48",
"metadata": {},
"source": [
"## 8 总结\n",
"\n",
"有关 MCMC 的细节当然重要,但还有很多其他帖子介绍它。因此,本文重点在于直观地介绍 `MCMC` 和 `Metropolis 采样器`的核心思想。希望您已经形成了直观感觉。其他更奇特的 MCMC 算法,如:哈密尔顿蒙特卡罗(HMC)、不掉头采样(NUTS),与此非常相似,只是提出建议值的方法要聪明得多。\n",
"\n",
"本文有 Jupyter Notebook 版本,可以从 [此处](https://github.com/twiecki/WhileMyMCMCGentlySamples/blob/master/content/downloads/notebooks/MCMC-sampling-for-dummies.ipynb) 下载。"
]
}
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