{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"id": "8b15c216",
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import scipy as sp\n",
"import scipy.stats\n",
"import matplotlib.pyplot as plt\n",
"import math as mt\n",
"import scipy.special\n",
"import seaborn as sns\n",
"\n",
"plt.style.use(\"fivethirtyeight\")\n",
"from statsmodels.graphics.tsaplots import plot_acf\n",
"from matplotlib import cm\n",
"import pandas as pd"
]
},
{
"cell_type": "markdown",
"id": "0779f424-91eb-4ae0-997b-fea810aaf269",
"metadata": {},
"source": [
"Although we have demonstrated the convenience of PyMC3, which encapsulated the MCMC in the relatively isolated process, we still need to investigate the basic structure of MCMC.\n",
"\n",
"In this chapter, we will demonstrate the inner mechanism of MCMC with the help of previous analytical examples. There will be no PyMC3 used in this Chapter."
]
},
{
"cell_type": "markdown",
"id": "d2ce525e",
"metadata": {},
"source": [
"# Markov Chain Monte Carlo "
]
},
{
"cell_type": "markdown",
"id": "d765e312",
"metadata": {},
"source": [
"The **Markov Chain Monte Carlo** (**MCMC**) is a class of algorithm to simulate a distribution that has no closed-form expression. "
]
},
{
"cell_type": "markdown",
"id": "27a24267",
"metadata": {},
"source": [
"To illustrate the mechanism of MCMC, we resort to the example of Gamma-Poisson conjugate.\n",
"\n",
"Though it has a closed-form expression of posterior, we can still simulate the posterior for demonstrative purpose.\n",
"\n",
"To use MCMC, commonly the Bayes' Theorem is modified without affecting the final result.\n",
"$$\n",
"P(\\lambda \\mid y) \\propto P(y \\mid \\lambda) P(\\lambda)\n",
"$$\n",
"where $\\propto$ means proportional to, the integration in the denominator can be safely omitted since it is a constant.\n",
"\n",
"Here we recap the example of hurricanes in the last chapter. The prior elicitation uses"
]
},
{
"cell_type": "markdown",
"id": "9d890992",
"metadata": {
"tags": []
},
"source": [
"\n",
"$$\n",
"E(\\lambda) = \\frac{\\alpha}{\\beta}\\\\\n",
"\\text{Var}(\\lambda) = \\frac{\\alpha}{\\beta^2}\n",
"$$"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "1ee0e344",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"x = np.linspace(0, 10, 100)\n",
"params = [10, 2]\n",
"gamma_pdf = sp.stats.gamma.pdf(x, a=params[0], scale=1 / params[1])\n",
"\n",
"fig, ax = plt.subplots(figsize=(7, 7))\n",
"ax.plot(\n",
" x, gamma_pdf, lw=3, label=r\"$\\alpha = %.1f, \\beta = %.1f$\" % (params[0], params[1])\n",
")\n",
"ax.set_title(\"Prior\")\n",
"mean = params[0] / params[1]\n",
"mode = (params[0] - 1) / params[1]\n",
"ax.axvline(mean, color=\"tomato\", ls=\"--\", label=\"mean: {}\".format(mean))\n",
"ax.axvline(mode, color=\"red\", ls=\"--\", label=\"mode: {}\".format(mode))\n",
"ax.legend()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "b36e84fc",
"metadata": {},
"source": [
"1. Because posterior will also be Gamma distribution, we start from proposing a value drawn from posterior\n",
"$$\n",
"\\lambda = 8\n",
"$$\n",
"This is an arbitrary value, which is called the **initial value**. "
]
},
{
"cell_type": "markdown",
"id": "6f91ba1c",
"metadata": {},
"source": [
"2. Calculate the likelihood of observing $k=3$ hurricanes given $\\lambda=8$.\n",
"$$\n",
"\\mathcal{L}(3 ; 8)=\\frac{\\lambda^{k} e^{-\\lambda}}{k !}=\\frac{8^{3} e^{-8}}{3 !}=0.1075\n",
"$$"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "00d04838",
"metadata": {},
"outputs": [],
"source": [
"def pois_lh(k, lamda):\n",
" lh = lamda**k * np.exp(-lamda) / mt.factorial(k)\n",
" return lh"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "533f6a77",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.02862614424768101"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"lamda_init = 8\n",
"k = 3\n",
"pois_lh(k=k, lamda=lamda_init)"
]
},
{
"cell_type": "markdown",
"id": "7f8ac766",
"metadata": {},
"source": [
"3. Calculate prior \n",
"$$\n",
"g(\\lambda ; \\alpha, \\beta)=\\frac{\\beta^{\\alpha} \\lambda^{\\alpha-1} e^{-\\beta \\lambda}}{\\Gamma(\\alpha)}\n",
"$$"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "bfd7182f",
"metadata": {},
"outputs": [],
"source": [
"def gamma_prior(alpha, beta, lamda):\n",
" prior = (\n",
" beta**alpha * lamda ** (alpha - 1) * np.exp(-beta * lamda)\n",
" ) / sp.special.gamma(alpha)\n",
" return prior"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "d2f175bf",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.0426221247856141"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"lamda_current = lamda_init\n",
"alpha = 10\n",
"beta = 2\n",
"gamma_prior(alpha=alpha, beta=beta, lamda=lamda_current)"
]
},
{
"cell_type": "markdown",
"id": "16122145",
"metadata": {},
"source": [
"4. Calculate the posterior with the first guess $\\lambda=8$ and we denote it as $\\lambda_{current}$"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "0581210f",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.0012201070922556493"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"k = 3\n",
"posterior_current = pois_lh(k=k, lamda=lamda_current) * gamma_prior(\n",
" alpha=10, beta=2, lamda=lamda_current\n",
")\n",
"posterior_current"
]
},
{
"cell_type": "markdown",
"id": "336077e9",
"metadata": {},
"source": [
"5. Draw a second value $\\lambda_{proposed}$ from a **proposal distribution** with $\\mu=\\lambda_{current}$ and $\\sigma = .5$. The $\\sigma$ here is called **tuning parameter**, which will be clearer in following demonstrations."
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "14eaa52e",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"7.365204708990733"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"tuning_param = 0.5\n",
"lamda_prop = sp.stats.norm(loc=lamda_current, scale=tuning_param).rvs()\n",
"lamda_prop"
]
},
{
"cell_type": "markdown",
"id": "23366a23",
"metadata": {},
"source": [
"6. Calculate posterior based on the $\\lambda_{proposed}$."
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "035d0a32",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.0030380873028526263"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"posterior_prop = gamma_prior(alpha, beta, lamda=lamda_prop) * pois_lh(\n",
" k, lamda=lamda_prop\n",
")\n",
"posterior_prop"
]
},
{
"cell_type": "markdown",
"id": "b6388e43",
"metadata": {},
"source": [
"7. Now we have two posteriors. To proceed, we need to make some rules to throw one away. Here we introduce the **Metropolis Algorithm**. The probability threshold for accepting $\\lambda_{proposed}$ is \n",
"$$\n",
"P_{\\text {accept }}=\\min \\left(\\frac{P\\left(\\lambda_{\\text {proposed }} \\mid \\text { data }\\right)}{P\\left(\\lambda_{\\text {current }} \\mid \\text { data }\\right)}, 1\\right)\n",
"$$"
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "b1fbcde7",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"0.0012201070922556493\n",
"0.0030380873028526263\n"
]
}
],
"source": [
"print(posterior_current)\n",
"print(posterior_prop)"
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "d6613c24",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"1.0"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"prob_threshold = np.min([posterior_prop / posterior_current, 1])\n",
"prob_threshold"
]
},
{
"cell_type": "markdown",
"id": "251e6c22",
"metadata": {},
"source": [
"It means the probability of accepting $\\lambda_{proposed}$ is $1$. What if the smaller value is $\\frac{\\text{posterior proposed}}{\\text{posterior current}}$, let's say $\\text{prob_threshold}=.768$. The algorithm requires a draw from a uniform distribution, if the draw is smaller than $.768$, go for $\\lambda_{proposed}$ if larger then stay with $\\lambda_{current}$."
]
},
{
"cell_type": "markdown",
"id": "a1a5778b",
"metadata": {},
"source": [
"8. The demonstrative algorithm will be"
]
},
{
"cell_type": "code",
"execution_count": 12,
"id": "29845d85",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"accept next lambda\n"
]
}
],
"source": [
"if sp.stats.uniform.rvs() > 0.768:\n",
" print(\"stay with current lambda\")\n",
"else:\n",
" print(\"accept next lambda\")"
]
},
{
"cell_type": "markdown",
"id": "cde2deb1",
"metadata": {},
"source": [
"9. If we accept $\\lambda_{proposed}$, redenote it as $\\lambda_{current}$, then repeat from step $2$ for thousands of times. "
]
},
{
"cell_type": "markdown",
"id": "d553a698",
"metadata": {},
"source": [
"## Combine All Steps "
]
},
{
"cell_type": "markdown",
"id": "581b331d",
"metadata": {},
"source": [
"We will join all the steps in a loop for thousands of times (the number of repetition depends on your time constraint and your computer's capacity)."
]
},
{
"cell_type": "code",
"execution_count": 13,
"id": "8e54637a",
"metadata": {},
"outputs": [],
"source": [
"def gamma_poisson_mcmc(\n",
" lamda_init=2, k=3, alpha=10, beta=2, tuning_param=1, chain_size=10000\n",
"):\n",
" np.random.seed(123)\n",
" lamda_current = lamda_init\n",
"\n",
" lamda_mcmc = []\n",
" pass_rate = []\n",
" post_ratio_list = []\n",
"\n",
" for i in range(chain_size):\n",
" lh_current = pois_lh(k=k, lamda=lamda_current)\n",
" prior_current = gamma_prior(alpha=alpha, beta=beta, lamda=lamda_current)\n",
" posterior_current = lh_current * prior_current\n",
"\n",
" lamda_proposal = sp.stats.norm(loc=lamda_current, scale=tuning_param).rvs()\n",
" prior_next = gamma_prior(alpha=alpha, beta=beta, lamda=lamda_proposal)\n",
" lh_next = pois_lh(k, lamda=lamda_proposal)\n",
"\n",
" posterior_proposal = lh_next * prior_next\n",
" post_ratio = posterior_proposal / posterior_current\n",
"\n",
" prob_next = np.min([post_ratio, 1])\n",
" unif_draw = sp.stats.uniform.rvs()\n",
" post_ratio_list.append(post_ratio)\n",
"\n",
" if unif_draw < prob_next:\n",
" lamda_current = lamda_proposal\n",
" lamda_mcmc.append(lamda_current)\n",
" pass_rate.append(\"Y\")\n",
" else:\n",
" lamda_mcmc.append(lamda_current)\n",
" pass_rate.append(\"N\")\n",
" return lamda_mcmc, pass_rate"
]
},
{
"cell_type": "markdown",
"id": "6790e44c",
"metadata": {},
"source": [
"The proposal distribution must be symmetrical otherwise the Markov chain won't reach an equilibrium distribution. Also the tuning parameter should be set at a value which maintains $30\\%\\sim50\\%$ acceptance."
]
},
{
"cell_type": "code",
"execution_count": 14,
"id": "b5cd0930",
"metadata": {},
"outputs": [],
"source": [
"lamda_mcmc, pass_rate = gamma_poisson_mcmc(chain_size=10000)"
]
},
{
"cell_type": "code",
"execution_count": 15,
"id": "8092317c",
"metadata": {},
"outputs": [],
"source": [
"yes = [\"Pass\", \"Not Pass\"]\n",
"counts = [pass_rate.count(\"Y\"), pass_rate.count(\"N\")]\n",
"\n",
"x = np.linspace(0, 10, 100)\n",
"params_prior = [10, 2]\n",
"gamma_pdf_prior = sp.stats.gamma.pdf(x, a=params_prior[0], scale=1 / params_prior[1])"
]
},
{
"cell_type": "markdown",
"id": "194b4f74",
"metadata": {},
"source": [
"We assume $1$ year, the data records in total $3$ hurricanes. Obtain the analytical posterior, therefore we can compare the simulation and the analytical distribution.\n",
"\\begin{align}\n",
"\\alpha_{\\text {posterior }}&=\\alpha_{0}+\\sum_{i=1}^{n} x_{i} = 10+3=13\\\\\n",
"\\beta_{\\text {posterior }}&=\\beta_{0}+n = 2+1=3\n",
"\\end{align}\n",
"Prepare the analytical Gamma distribution"
]
},
{
"cell_type": "code",
"execution_count": 16,
"id": "3f4ed7a2",
"metadata": {},
"outputs": [],
"source": [
"params_post = [13, 3]\n",
"gamma_pdf_post = sp.stats.gamma.pdf(x, a=params_post[0], scale=1 / params_post[1])"
]
},
{
"cell_type": "markdown",
"id": "dc4e2940",
"metadata": {},
"source": [
"Because initial sampling might not converge to the equilibrium, so the first $1/10$ values of the Markov chain can be safely dropped. This $1/10$ period is termed as **burn-in** period. Also in order to minimize the _autocorrelation_ issue, we can perform **pruning** process to drop every other (or even five) observation(s).\n",
"\n",
"That is why we use ```lamda_mcmc[1000::2]``` in codes below."
]
},
{
"cell_type": "code",
"execution_count": 17,
"id": "589b88b4",
"metadata": {},
"outputs": [
{
"data": {
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5EI4dO4ZJkyahY8eOqFChAjp37oxly5bBZDLl+7k9WMo5rzIzMx3GCjrawVXHz5U5uVpO+bji55KX4xgWFpav/eWFO841Z5PCPjwvz8Mr9CUmJmZ9//D5k1f9+vUDcP+W0Ad/YD7wYPRMxYoVs80N5gkPP7+8TqTsiWvOo1z92gwNDc11/EGRsShyx3UwP6+X3HJHvgWl1+sxfPhwAECtWrXw/vvvZ30P3L8dND+3uxER5YSTQBMRFWMFmYhSanLYvKhevTr27duH7du3Y/PmzThw4AAuXrwIo9GIvXv3Yu/evZg7dy7Wrl2b9cl9Xjz8Rn/ZsmWoWrVqrrZz9kebo1uN8qOgx+8BV+bkCjnl4+qfi6uOY0G441wrTLVq1cLjjz+Ow4cPY8WKFVlLol++fDlrstno6GiPH/uHRzg9mGslL9x9zXmUq1+bReFcd7Xi9pyKSr7Tp0/H9evXIZPJMGfOnKzb0h6MAALuj0AqyKTjRERSWAAiIvIiD3/qHh8f77RtbGys5HYPk8lk6NChAzp06JDV565du7B48WIcPHgQly5dwoABA7B79+485xocHJz1fUBAgMtWXCkIVx+/4sgVP5eHCyc5HUdnt1kB989B4P5Ezs44G61TVM61B3MLAdnPn/zo27cvDh8+jKNHj+LMmTOoVatW1pxAMpkMr7zySoH6z4+dO3dmfZ/fW9zcec1xt7i4OMmJux94+LXw8LnginPclYrbdbCo5fvvv/9i3rx5AO6P4n34trSHC0CcCJqI3IG3gBEReZGaNWtmfZ/TBJdHjhzJ+j63fxCHhoaiZ8+e2Lx5M9q2bQvg/qf+DybYBXL/CWy9evWyvn90idzC4u7jVxy44ufy8PE4evSo07Y5xR9MLPzoXDePunDhgsNYUTnXHv60/8CBAwXqq3v37lnz7CxfvhxWqxVr1qwBALRp0wZly5YtUP95FR8fn3U7mp+fn8uWOXflNcfdHr4mSHlwrvv6+mZbot0V5zjguuNQ3K6DRSlfm82G999/HxaLBWXLlsUnn3ySLV65cuWslf9YACIid2ABiIjIizRs2DBr9MWPP/4Ii8Ui2c5isWTNFRIQEJBtYszcEAQBrVu3zvr/w3N/aDSarO+dzddRr169rE/Lly9fnq/JP13NU8evKHPFz6VBgwZZx3Ht2rUO5/WIiYnBrl27nPb1YNWctLQ0h38Ai6KIdevWOeyjqJxrderUycpj5cqVOf7B74yvry+6d+8O4P4x/v3333Hnzh0AwKuvvlrwZPPAarXi7bffzlpWu3///i4fXeGKa467rVq1ymHs+vXr2Lt3LwCgVatW2W4/c8U5DrjuOBS362BRyveHH37AP//8AwCYNWuW3WToMpkMjz32GACuBEZE7sECEBGRF1GpVFkTxF66dAmTJ0+WbDd58uSsPzT69OmT9YnkAwcOHMDly5cd7sdms2XdgiEIAiIjI7NiD0+yefXqVYd9yGQyfPDBBwDuFwIGDhzo9BYHg8GA7777zq0rp7jq+BVnrvi5qNXqrOWWz58/j88//9xuO4vFgvfeey/HP1RbtGiR9f2cOXMk28ycOTPb/DPueE6uIJPJ8N577wG4f7vQoEGDsoomUm7fvu20vwfnamJiYtbzCw4OxvPPP++ijHN27do1dO3aFX/88QcAoEaNGhg5cmSe+/HENcfdtm7dirVr19o9bjKZMHTo0KxC6BtvvJEt7opzHHDdcShu18Giku/du3fx2WefAQC6du3q8HX4YORRTExM1vL1RESuwjmAiIi8zIgRI/Drr7/i8uXL+OKLL3D27Fn07dsXERERiImJwbJly7BlyxYA9z95HjNmjF0fu3fvxsyZM9GsWTO0b98ederUQUhICEwmE65du4bly5dnfZr9wgsvZPvDo169etBoNDAYDJg8eTKUSiXKly+fNc9FmTJlst549+/fH3/++Sc2btyIrVu3omnTphgwYACaNGkCnU6HjIyMrIltf/31V6SkpLh9bhNXHL/izhU/l5EjR+Lnn3/G7du3MWXKFJw7dw6vvPIKQkJCcOXKFXz99dc4fPgwGjZsmG2Z9kfVq1cPzZo1w6FDh7By5UqYzWZER0cjMDAQ169fx+rVq7Fly5asNu58Tq4wcOBAbN26FX/88Qe2bt2KZs2a4fXXX0fjxo3h5+eHxMREHDt2DBs2bECdOnWwYMECh301bNgQderUwenTp7PmNunVqxdUKpXL8k1ISMg2UkGv1yM5ORlnz57NmrD5QWGjRo0aWLNmDQICAvK8H09dc9ypUaNGeOutt3DgwAF069YNgYGBuHDhAr766iucOnUKANClS5esW9kezt8V57grj0Nxuw4WhXxHjRqF1NRUBAYGYvr06Q7bPToPUH7nyyIiksICEBGRl/Hz88PGjRvRs2dPnDlzBlu2bMl64/uwGjVqYO3atXZD1B+w2WxZy8870qJFC3z11VfZHvP398ebb76JOXPm4MSJE+jWrVu2+KZNm7KWpxYEAYsWLULp0qXx/fff49atW5g4caLD/fn6+rp9VS1XHb/izBU/l8DAQKxbtw5du3ZFbGws1q9fj/Xr12dr88orr6BFixYYPHiw03zmz5+Pjh07IjY2FmvXrrUbZdGzZ09ER0ejS5cubn1OriCTybB8+XIMGTIE69atw/Xr1/Hxxx9Ltq1Tp06O/fXr1w8jRozI+n+fPn1clisALFq0CIsWLXLaJjAwEP3798fo0aMLVGjxxDXHnX744Qd07doVS5YswZIlS+zirVu3dljQc8U57srjUNyug4Wd79atW7Fx40YAwMSJE7MVKB/16EpgLAARkSuxAERE5IXKlSuH3bt3Y8WKFfj555/x77//IiUlBQEBAahduza6dOmCvn37Zi1N+6ihQ4eiTp062L17N06ePIk7d+4gPj4eoigiNDQUDRo0QI8ePdClSxfJiUc//fRTVKlSBatXr8a5c+eQmprqcB4YhUKB6dOnY8CAAVi6dCn27duHmzdvIi0tDb6+vihbtizq1q2LNm3aoFOnTh75JL+gx68kcMXPpWbNmjh06BC+/PJL/Prrr7h16xb8/PxQq1Yt9OvXDz169Miak8OZKlWqYPfu3Zg9eza2bduGmJgY+Pn5oU6dOujfvz+ioqKyRoe4+zm5glarxcKFCzFw4ECsWLECBw4cQGxsLMxmM4KDg1G7dm20bdsWvXr1yrGvl156CaNGjYLNZkPjxo3dOhGvTCaDn58fAgICEBERgfr16+OJJ55wybHy5DXHXSpWrIg///wT8+fPx6+//oobN25AJpOhZs2aeOWVV9C3b9+s0TiPctU57srjUNyug4WVb0ZGBj788EMA9wuUOc3B9fBrlBNBE5GrCcnJyc7XlCQiIiIqJCtXrswaAXTixIlsqyNRzg4dOoTnnnsOAPDll1+if//+hZsQERERFRpOAk1ERERUQi1fvhzA/VvWoqKiCjkbIiIiKkwsABERERGVQLdv385aGrxHjx75mnyZiIiISg7OAURERERUQsTExECv1+PGjRuYMGECjEYjFApF1vLyRERE5L1YACIiIiIqId544w3s378/22PDhw9H5cqVCykjIiIiKipYACIiIiIqYbRaLSpXroxBgwahb9++hZ0OERERFQFcBew/R48exdSpU/HXX3/BYrGgVq1aGDx4MLp165av/pKTk/Hkk0/izp07aNu2LX766ScXZ0xERERERERElDscAQRgz5496N69OzQaDaKiouDn54dffvkFAwYMwK1btzBkyJA89zlixAikpqa6IVsiIiIiIiIiorzx+hFAFosFTZo0QUxMDLZv34569eoBAFJSUtC2bVvcuHEDhw8fRmRkZK773LhxI/r164eZM2dixIgRHAFERERERERERIXK65eB37NnD65evYoePXpkFX8AIDAwEMOHD4fJZMLq1atz3V9CQgI++OAD9OrVC+3bt3dHykREREREREREeeL1BaB9+/YBANq0aWMXa9u2LQDYrabhzLBhwyCXyzF9+nTXJFgMGAwGXLlyBQaDobBTIfIInvPkjXjekzfieU/eiOc9eSNvOe+9fg6gy5cvAwCqVKliFwsPD4efnx+uXLmSq75+/PFHbNq0CStXroROp0NKSkqe8ymOJ5zJZILVaoXJZCrsVIg8guc8eSOe9+SNeN6TN+J5T96ouJ73Go0mT+29vgD0YKLmgIAAybi/v3+uJnO+c+cORo0ahR49eqBTp075zicmJgZWqzXf2xem2NjYwk6ByKN4zpM34nlP3ojnPXkjnvfkjYrTeS+Xy1G5cuU8beP1BSBXGTp0KJRKZYFv/YqIiHBRRp5jMpkQGxuL8PBwqFSqwk6HyO14zpM34nlP3ojnPXkjnvfkjbzlvPf6AtCDkT+ORvmkpaVBp9M57WPVqlXYvn07li5diuDg4ALlk9chXEWJSqUq1vkT5RXPefJGPO/JG/G8J2/E8568UUk/771+EugHc/88mAvoYbGxsUhPT89xWNXJkycBAP369YNOp8v6ql+/PgBgx44d0Ol0aNmypYuzJyIiIiIiIiLKmdePAGrRogVmz56NnTt3onv37tliO3bsyGrjTNOmTZGRkWH3eEZGBtavX4+yZcuiTZs2KFeunOsSJyIiIiIiIiLKJa8vAD311FOoWLEi1q1bhzfffBP16tUDAKSkpGD27NlQqVTo3bt3Vvu7d+8iNTUV4eHhCAwMBABERUUhKirKru/r169j/fr1qFGjBr766ivPPCEiIiIiIiIiokd4fQFIoVBg7ty56N69Ozp16oSoqCj4+fnhl19+wc2bNzFx4kRUqFAhq/2ECROwevVqzJ8/H9HR0YWYOREREREREXmazWZDRkYGDAZDYadCLmKz2aBSqZCSkoK0tLTCTgcymQz+/v4un5Da6wtAANC6dWts2bIFU6dOxYYNG2A2m1GrVi1MmDBBcmQPEREREREReR+bzYbExET4+fkhJCQEgiAUdkrkAjabDSaTCSqVCjJZ4U+VbLVakZiYiJCQEJfmIyQnJ4su6428ksFgwM2bN1G+fPkSPWM60QM858kb8bwnb8TznrwRz3vn0tLSoFAooNVqCzsVcqGiVgAC7r8WDQZDjquS50XReGZERERERERERZzBYGBhjDxCrVbDbDa7tE/eAkZEREQepVt822k8eUBZD2VCRESUd7ztizzBHecZRwAREREREREREZVwLAAREREREREREZVwLAAREREREREREZVwLAARERERERERkUd16tTJpStcUc5YACIiIiIiIiKiHF2/fh06nS7bV2hoKGrXro3XX38dp0+fLuwUyQmuAkZEREREREREuVapUiX07NkTAJCRkYHDhw9j3bp12LRpEzZu3IhmzZrl2Mc333wDvV7v7lTpISwAEREREREREVGuVa5cGWPGjMn22KRJkzBr1ixMnDgRv/32W459lC9f3l3pkQO8BYyIiIiIiIiICmTQoEEAgGPHjgEAdDodOnXqhJiYGLz55puoXr06goKCsHfvXgCO5wCyWCyYN28eWrRogdKlSyMyMhIvvPACfv/9d7u2K1euhE6nw8qVK/H777+jQ4cOKFeuHOrWreu+J1qMcQQQERERERERkQtoP3unsFNwSP/J1x7ZjyAIWd8nJSWhffv20Ol0iIqKgtFohL+/v8NtRVFE3759sXnzZlStWhWvv/46MjMzsX79erz88suYPHkyBg8ebLfdxo0bsXPnTnTo0AEDBw5EWlqaW55bcccCEBEREREREZELyC+fKewUCs3ChQsBAI0aNcp67MyZM4iOjsbcuXMhl8tz7GPNmjXYvHkzWrRogQ0bNkClUgEAhg0bhqeffhrjx49Hp06dULFixWzb/fHHH1i/fj2efvpplz2fkogFICIiIiIiIiLKtStXrmDq1KkAgMzMTBw+fBgHDx6ERqPBxx9/nNVOpVLhs88+y1XxBwBWr14NAPjss8+yij/A/fmC3nnnHUycOBFr167FyJEjs23XsWNHFn9ygQUgIiIiIiIiIsq1q1evYvr06QAApVKJsLAwvPTSS3j//fdRu3btrHYVKlRAcHBwrvs9efIkfHx80LhxY7tYq1atAACnTp2yi0m1J3ssABERERERERFRrrVt2xY//fRTju1CQ0Pz1G9aWhrKli0rGQsPD89qU9D9eCsWgIiIiIiIiIhcwFqlVmGnUKQ8PCF0bvj7+yMhIUEyFhcXl9WmoPvxViwAEREREREREbmAp1baKqnq1auHPXv24MiRI3a3de3btw8AuMR7AbAARERERJJ0i28/8ogPgEQAQPIA6eHZRERERPn18ssvY8+ePZgwYQJ++uknKJVKAMCtW7cwf/58KBQK9OzZs5CzLL5YACIiIiIiIiKiQte7d29s2rQpayn4Dh06IDMzE+vXr0dSUhImTZpktwQ85R4LQERERERERERU6ARBwLJly7BgwQKsXr0a3333HVQqFerVq4fBgwejY8eOhZ1iscYCEBERERERERHlqEKFCkhOTs5V25za/fbbb5KPKxQKDBkyBEOGDMlxH9HR0YiOjs5VPgTICjsBIiIiIiIiIiJyLxaAiIiIiIiIiIhKOBaAiIiIiIiIiIhKOBaAiIiIiIiIiIhKOBaAiIiIiIiIiIhKOBaAiIiIiIiIiIhKOBaAiIiIiIiIiIhKOEVhJ0BERERFi2gzAzYzdLJ0KGCFUrBCIVihxP//a01NhyBTQ/CJgCBTFXbKRERERJQDFoCIiIi8mGg1wJZ2CbbUc7CmnIMt9RxEYwIA4N/yjrczHP7vG0EGQVsWMt8KD31FQvApB0HGtxlERERERQXfmREREXkJURQh6m9nFXpsqedgS78KiNYCdGqDmHkT1sybsMbv+//HBTkEn3KQ+VaAPOAxyMNaQaYJK/iTICIiIqJ8YQGIiIiohLOmXYLl1q+wxO8HLGme2alohZhxHdaM67DG7QEufQ9ZYC0owp9GqKwq4m2BnsmDiIiIiACwAERERFQiiTYzrHH7YL69CbaUM4WdDgDAlnIGppQzOFJOwAFDDWzMbIrfMxsh2eZX2KkRERERlXgsABEREZUgNmMCLLc3wxLzO0RTUmGnI0kuiGilPYtW2rOYUmoFduvrYGNmU2zNbIBMUVPY6RERERGVSCwAERERFXOiKMKWfArmW7/AmnAAEG3560iQQ+ZXCbKAxyAoAzHleCbMohwWUQ4zsv+7oHUIbMZEiBnXYcu4DlvGDcBmzPMuVYIVz/qcwLM+J5Bk9cF3qR0gWl6FoPDJ33MgIiIicpGVK1di8ODBmD9/PqKjows7nQJjAYiIiKgYsyQcgunyEogZ1/K8raAOgSygBuSBNSALqAGZf1UI8v8fgfPl7tsOt/2+dNls/xdFG0RD7P1iUPp12DKuQcy4cX+SaeSuIBUkz8SooA3IPLgDyvLdoSz3IgSFNs/Pi4iIiNzj+vXrqF+/frbHlEolwsLC8OSTT+L9999HnTp13Lb/vXv3onPnzhg1ahTGjBnjtv2UVCwAERERFUM2QzxMFxbcH/GTW3ItFKXbQB7UELLAGpCpQ1yWjyDIIGjLQKYtA4Q0y3pcNCXBErcXltg/cz8XkTkV5iuLYb65HsrIHlCW65ytMEVERESFq1KlSujZsycAICMjA4cPH8a6deuwadMmbNy4Ec2aNcuhh+LhhRdeQJMmTRAeHl7YqbgEC0BEREQuolvseMRM8oCyDmN5IYpWWG5tgunKUsCqz9U2gk95KMt1hqJ0WwgKX5fkkVuCKgjKci9CWe5F2AxxsMbtwT//bkd99fWcNzanwHx5Ecw3foKqwktQlO3EQhAREVERULlyZbsROJMmTcKsWbMwceJE/Pbbb4WUmWsFBgYiMLDkrFwqK+wEiIiIKHesqRdhOPw+TBe/yUXxRwZ5SHNoGkyF9onv/rudyrPFH7uMNGFQRvZAx7ufoOXtKZiR3BXnTRE5b2hOhunS99AfHADzjfUQrSb3J0tERER5MmjQIADAsWPHAAAWiwXz5s1DixYtULp0aURGRuKFF17A77//bretzWbDsmXL0KZNG1SsWBGlS5dGrVq10KtXL+zduxcAMHXqVHTu3BkAMH36dOh0uqyv69f//4Mlk8mEefPmoXXr1oiIiEC5cuXw/PPPY/PmzXb7ffvtt6HT6XDt2jUsWLAAzZo1Q1hYGN5++20A9+cA0ul0WLlypd22hw4dQs+ePVGxYkWEh4ejSZMmmDJlCjIzM+3a6nQ6dOrUCTExMXjzzTdRvXp1BAUFZT03T+EIICIioiJOtGTCdGUZLLd+QY7z6SgDoYx4DoqynSDThHkkv/y4agnHnJTOmJPSGU3VF/BB4Ea01J5zuo1oSoLp0ncw3/4V6hrvQx5Uz0PZFh5no8oA140sIyIi19Affr+wU3BI+/iXHtmPIAgQRRF9+/bF5s2bUbVqVbz++uvIzMzE+vXr8fLLL2Py5MkYPHhw1jYTJkzAnDlzUKlSJbz00kvw8/NDTEwMDh06hN27d6NVq1Zo2bIlbty4gdWrV6NFixZo2bJl1vYPRukYjUZ0794d+/btQ926ddGnTx9YLBZs27YNr7zyCmbMmJFVqHrYqFGjcPjwYbRv3x7PP/88QkKc3yb/888/Y+DAgVCr1ejWrRtCQ0Oxc+dOzJgxAzt37sSvv/4KjSb7qOWkpCS0b98eOp0OUVFRMBqN8Pf3L8ihzjMWgIiIiIowS/wBmC58DdGY4LyhMgCqygPu3+YlV3kmORf521gdveJGoJn6PD7QbURzzXmn7UV9DAzHRkIR0RGqqgMLfWQTERHRA7ZU5x9mlGQLFy4EADRq1Ahr1qzB5s2b0aJFC2zYsAEq1f33JsOGDcPTTz+N8ePHo1OnTqhYsSIAYNmyZShTpgz2798PH5/sK4EmJSUBAFq1agUAWL16NVq2bCk5CfSMGTOwb98+jBgxAh999BEEQQAApKWl4cUXX8S4cePQuXNnlClTJtt2//77L7Zv347KlStDJnN+o1RqaiqGDh0KhUKBbdu2ZU16/cknn+D111/H+vXrMXfuXIwcOTLbdmfOnEF0dDTmzp0LuVye4/F0B94CRkREVASJpmQYTk6A8dRnORZ/FKWfhc8T30NZ9vliV/x52CHjY3gpdiQ0DadDFpjzCiKWmM3Q//UmLAmHPJAdERERPXDlyhVMnToVU6dOxccff4znn38eM2bMgEajwccff4zVq1cDAD777LOs4g8AlC9fHu+88w4sFgvWrl2brU+lUilZGAkKCspVTjabDYsWLUKlSpWyFX8AwN/fHyNHjoTJZMKmTZvsth0yZAjKlSuXq/1s3rwZqamp6NOnT7YVz2QyGSZMmACFQoFVq1bZbadSqfDZZ58VWvEH4AggIiKiIseWfgWGk59CNMQ5bSf4lIP6sSGQB9V32q64kQfVh6ZRPdiSjsN0dbnT1cNEYwKMJz+FJfxpqKu9BUGl81ieRERE3urq1auYPn06gP9fBv6ll17C+++/j9q1a+PkyZPw8fFB48aN7bZ9MJLn1KlTWY91794dCxcuxJNPPomoqCi0atUKTZs2hVarzXVOFy9eRHJyMsqUKYNp06bZxRMTE7PaPapRo0a53s/JkycBINstaA+UL18eFStWxKVLl5CWlpbtFq8KFSogODg41/txBxaAiIiIihBL/H4Yz8wErAbHjQQllBV7Q1nhJQiy4jvixxlBECAv1RCaoAawJR2D6fIS2NIuOGxvjf0TmfeOQl3tLcjDn8n2qR8RERG5Vtu2bfHTTz85jKelpaFsWel56h4sqZ6Wlpb12LRp01ChQgWsXLkSs2bNwqxZs6DRaNC1a1dMnjw5V4WTB7eKnT17FmfPnnXYLiMjw+6xsLDcz5v4IO/Q0FDJeHh4uGQByFF7T2IBiIiIqAgQRRHma6thvrrMaTtZUAOoH3sXMp/cDVN2JqcJhouC+4WgRtAE1Yfl1iaYLi8GbEbpxuZUGM/MgDx2F1SPDYVMU/hvtIiIyLvIAmoUdgpFgr+/PxISpG9hj4uLy2rzgEKhwJAhQzBkyBDcuXMH+/fvx8qVK7FmzRrExcVh/fr1udonALz44otYtsz5+6lH5eWDowf7iY+Pl4xLPb+87sNdWAAiIiIqZKLVAOPZz2GNc7IUqDIQqqpv3J/kuQi8gfA0QZBDWb4r5CHNYDw3B7akYw7bWhP/gf6vQVA/NhSK0s94MEsiIvJ2nlppq6irV68e9uzZgyNHjtjdBrZv3z4AQN26dSW3LVOmDHr06IGoqCg8/vjj+PPPP6HX66HVarPmz7FarXbbPfbYYwgICMCxY8dgNpuhVCpd/Kzuq1evXtbz6NatW7bYrVu3cPXqVVSsWNHjK3zlBieBJiIieohu8W2HX+5gM8TDcOQDp8Ufma4ufJ74Fsoy7byy+PMwmbY0NA2mQFVjOKDwc9zQqofxzHQYz8+HaDN5LkEiIiLCyy+/DOD+8u5msznr8Vu3bmH+/PlQKBTo2bMngPtLt//11192fWRkZCAjIwNKpTJrZa4HE0Lfvm3/vkyhUOC1117DzZs3MW7cuGz7feDMmTMOR+7kVseOHREQEICVK1dmu9VMFEV8+umnsFgseOWVVwq0D3fhCCAiIqJCYk05A+OpiRBNSQ7bKCI6QlX9bQgy93yKVRwJggBlRHvIgxvDdGEBrPH7HLa13N4EW9pFqOuM5S1hREREHtK7d29s2rQpayn4Dh06IDMzE+vXr0dSUhImTZqUtQS8Xq9Hhw4dULVqVTRo0ADlypVDRkYGtmzZgtjYWAwZMgRqtRoAUL16dZQpUwbr16+HWq1GREQEBEHAoEGDEBgYiDFjxuDEiRP49ttvsW3bNjRv3hyhoaGIiYnBmTNncPr0aWzfvr1A8/EEBARg7ty5GDhwINq1a4du3bohJCQEf/75J44fP47GjRtj6NChrjiMLscCEBERUSEw39kG07mvANH+0ykAgCCDqtpbUJTt7PWjfh5mPxJrADr61MXkUisRJk+V3MaWeg76fwZDXWsUFMH2q5EQERGRawmCgGXLlmHBggVYvXo1vvvuO6hUKtSrVw+DBw9Gx44ds9r6+vpiwoQJ2L17Nw4ePIj4+HjodDpUrVoV48ePR/fu3bPayuVyLF++HOPHj8dPP/2UNSFzz549ERgYCLVajXXr1mH58uVYs2YNNm3aBKPRiNDQUNSoUQOvvfYaatWqVeDn17VrV4SFheGLL77Apk2boNfrERkZiREjRuD999+HRqMp8D7cQUhOThYLOwkq3gwGA27evIny5csX2ROdyJV4zpdszm71Sh4gvZpFXrYVRRvMlxfBfMPxyhlQ+ENTZyzkpRo43V9BFeS2tpyORUH266xvR9sGyjIwPuhH9PLb76RnAcpKfaCs+DIEoXjcBV+QY0UFx+s9eSOe987Fx8cXidWcyLVsNhtMJhNUKlXW7WZFgavPt6LzzIiIiEo4URRhuvC10+KP4BsJ7eNz3F78KWlSbL4Ynvga1LVGAjK1g1YizFeXw3hyPESz9GghIiIiopKKBSAiIiIPeFD8sdz+1WEbefAT0Db+AjKfCA9mVrIoSreB9vE5EHwcj4yxJv4D/d/vwpp63oOZERERERUuFoCIiIjcToTp4jew3N7ksIUysifU9T6BoPD1YF4lk8yvIrSPz4U8tKXDNqIxDoYjH8J8+zcPZkZERERUeFgAIiIicisR44N+hOXWRumwoIS61gioqr4GQZB7NrUSTFD4Ql1nLFRVBwGO5vsRzTCd/wrGi99CFG2eTZCIiIjIw7gKGBERkduIGKf7HwYFbJcOCwqo646DIuQJz6blAQWZYNpVBEGAMjIKsoDqMJ6eAtF0T7Kd5eYGiIZ4qGuNgCB3NH8QERERUfHGEUD/OXr0KF566SVERkYiIiIC7dq1w4YNG3K9/fbt2/Haa6+hSZMmiIyMRJkyZdCkSRO8++67uHTpkhszJyKioknEGN1PeDtwq3RYUEBdZ2yJLP4UNXJdHWibzodMV89hG2v8PhiOj4FoSvFgZkRERESewwIQgD179qBDhw44dOgQunXrhgEDBiA2NhYDBgzAV199las+tm3bhn/++Qd16tRBdHQ03njjDVSuXBmrV69GixYtsHv3bjc/CyIiKjpEjNJtwLuBv0uHBTnUdT6CIvRJz6blxQRVEDQNpkIZ2dNhG1vKGeiPDIctM8aDmRERERF5htffAmaxWPDee+9BJpPht99+Q7169z8dHDlyJNq2bYuJEyeiS5cuiIyMdNrPxIkTMXPmTLvHd+/ejS5duuDTTz/Frl273PIciIioaPkwcCOGBjqYXFiQQV17DBShzT2bFEGQyaGq+hpk/lVgPDMLEM12bUT9beiPDIOm3gTIA2sUQpZERFTUiaIIQRAKOw0q4URRdHmfXj8CaM+ePbh69Sp69OiRVfwBgMDAQAwfPhwmkwmrV6/OsR+NRiP5+FNPPQWdTocrV664LGciIiq6hgVuxDCdg9W+BBnUtUdDEeZ4dSpyH93i29Atvo2QzVXR7c5wJFl9pBuaU2A4NgqW+IOeTZCIiIo8jUYDg8FQ2GmQFzAajVAqlS7t0+sLQPv27QMAtGnTxi7Wtm1bAMD+/fvz3f/ff/+N5ORk1KpVK999EBFR8TA4YDM+1P3iICqDutYoKMJaezQnkva3sTq63P0INywh0g1sRhhPfQbzLUc/TyIi8ka+vr5IT0+HXq93ywgNIgCwWq1ITU1FQECAS/v1+lvALl++DACoUqWKXSw8PBx+fn55Gr2zc+dO/PXXXzCZTLh8+TK2bt2K4OBgTJkyxWU5ExFR4XC2stWLPn9hQehPkjGrKMCn9ggowp/KV9/JA8rmPknKtcuWMuh85yMsDZuLBuprEi1EmC58DdEQC2WVgRAcLSdPREReQyaTITg4GBkZGUhISCjsdMhFbDYbDAYDNBoNZLLC/30vk8mg0+lcnovXF4BSU1MBwGFlzd/fP6tNbuzcuRPz5s3L+n/lypXxww8/oEGDBrnavjgOJzSZTNn+JSrpeM7ToxqpLuOLkB8kYzZRwLDE1zBf9yQs+bzGF8XfDe7MqSB953XbBFsgesSOxIKQb/GszwnJNuYbP8GSGQeh6nsQZEXrrVNRPDdKEl7vyRvxvM8dpVLp8ttzqPCYTCakpqYiKCgIKpWqsNMB8P9FKWccTUXjSNF6F1MCTJo0CZMmTUJ6ejrOnz+PGTNmoEOHDpg3bx5eeumlHLePiYmB1Wr1QKauFxsbW9gpEHkUz/mSysG8MA6UlSfgh7B50AgWu5hNFPBBYn/8lNEcP61OzHdGN2/ezPe2zuXtuT4s55zc1bfzfvOzrV5UY2D8YJyttQy+Gfsk24gJe5GZkYKk4P6A4Mk3/AV5vuQqvN6TN+J5T96oOJ33crkclStXztM2Xl8AejDyx9Eon7S0NOh0ujz36+fnh8aNG2PlypV4+umn8f777+OZZ55BSIiDuQb+ExERked9FTaTyYTY2FiEh4cXmWopkTvxnC/pcl+o8RX0WBL2FULl0r9Dxt17BWszCj7hc/ny5Qvch7T8F6VyzsldfTvvN7/bWiGHf70PIMZUhnh9mWQbrf4ktOkrIHtsFAS52mkerlOQ50sFxes9eSOe9+SNvOW89/oC0IO5fy5fvmx3m1ZsbCzS09PRqFGjfPevUCjQqlUrnD59GseOHcOzzz7rtH1eh3AVJSqVqljnT5RXPOe9mww2zA/5HrVUtyTj36c+i6Xp9gsM5EdBzjNncwsVhDvP/YL0XZBttVotUOUVWHzLwHh2tuQy8Ug+CpyfAnW9TyEotPnel6vwGuQZvN6TN+J5T96opJ/3hT+7USFr0aIFgPtz9zxqx44d2drk1927dwGA94gSEZUg44L+53DOmD8y6+GzpJ4ezohcRVH6GWgaTALk0gUeW/IJGE6MhWjJ8HBmRERERPnn9SOAnnrqKVSsWBHr1q3Dm2++iXr16gEAUlJSMHv2bKhUKvTu3Tur/d27d5Gamorw8HAEBgZmPX7s2DE0bNjQrv8dO3bg119/RWBgIJo0aeL+J0RERG4X7bcbbwZsk4ydMZXDOwmDYCvhn7G4a2RRUSEPqg9Ng6kwnBgHWNLt4raUMzAcGw1Ng8kQlK5dopWIiIjIHby+AKRQKDB37lx0794dnTp1QlRUFPz8/PDLL7/g5s2bmDhxIipUqJDVfsKECVi9ejXmz5+P6OjorMefeeYZ1KpVC7Vr10ZERAQyMzNx+vRpHDx4EEqlEvPmzYOvr29hPEUiInKhlpozmFxqpWQs3hqA/nFDkCEW/q1BVHDywBrQNJwGw/GPALP9PE+2tIvQHx0JbcNpEFQ6zydIRERElAdeXwACgNatW2PLli2YOnUqNmzYALPZjFq1amHChAmIiorKVR+ffPIJ9u7di/379yMhIQEymQzlypVD//798fbbb+Oxxx5z87MgIiJ3q6K4i29DFkAp2K/WaBAVeC3uXdy2Op/sn4oXuX9VaBvOgOH4GIimJLu4mHEN+qMfQtNwGmRq/uyJiIio6GIB6D+NGzfGunXrcmy3YMECLFiwwO7x4cOHY/jw4e5IjYiIioAgWTqWhs2BTp4pGR+W8BqOmqp4OCvyBJlfRWgazYTh2GiIxgS7uJh5C4YjI6BpOBUybelCyJCIiIgoZywAERER5UAJC74L/RqVlHGS8VnJL+KXzCc8nFXJVZD5hdw1N5HMpxw0jWbdLwIZ7trFRcMdGI6OgKbhdMh8ItySAxEREVFBlOwZKomIiFzgk6Af0VxzXjL2c0ZTfJHyooczosIg05aGpvEsCD7lJOOiMR6GY6Ng09sXiIiIiIgKGwtARERETnT0OYzXAnZKxo4aK+ODxAEABM8mRYVGpg6BttFMCL4VJeP3i0CjYTPEezYxIiIiohywAERERORApCIes4KXSMZuWUrhtbh3YRBVnk2KCp2gCoK20QzI/KtKxkXD3ftFIGOihzMjIiIicoxzABEREUlQwYwFId8gUKa3i2XaVOgfNxTxtsBCyMyeu+a9IccEZQA0DabBcGIcbKnn7OKi/jYMx8ZA22gGl4gnIiKiIoEjgIiIiCSMDVqHBupr0rF70ThrLu/ZhKjIEZR+0NSfBJl/Ncm4mHkD+mOjIZpTPZwZERERkT2OACIiInpEB+1RvB7wh2Tsf+nNsTajpYczosLmbJSVTvYuztacA1v6FbuYmHENhmNjoGk4DYLS350pEhERETnFEUBEREQPKSdPwOzgxZKxi+Yy+OhetIczoqIu2eYHTYMpEHwrSMZt6ZdhOD4WoiXDw5kRERER/T8WgIiIiP4j2sxYEPoNdPJMu5jepsRb8W8hU9QUQmZU1AkqHTQNpkLwKSsZt6VdgOHExxAt9ucWERERkSewAERERPQf0+XFaKS+KhkblxSNc+ZyHs6IihOZuhQ0DadD0JaRjNtSzsBwcjxEq8HDmRERERFxDiAiIvIyjuZyeVZ7HEvC1kvGfkpvhjXpnPeHciZTh0DTcDoMRz+EaIizi9uST8FwcgI09SdAkKkKIUMiIiLyVhwBREREXi9CnogvghdJxi6bwzHmXh8AgmeTomJLpgm7PxJIHSIZtyUdg/Hf6RBtVg9nRkRERN6MBSAiIvJqCljwTeg3CJKY98cgKvBW/NvIELWFkBkVZzJtmftFIFWQZNwavx+m83MgiqKHMyMiIiJvxQIQERF5tVG6DWistl++GwA+ufcKzpjLezgjKilkPmWhaTgdUAZKxi13tsF06XsWgYiIiMgjOAcQERF5rZaaM3gncItk7OeMpliZ3trDGVFBqGxmhJtSUMqcDhlECAAEUfzvexGC+N9j//3fIFMhXumPBKU/9HK1w/mhCkLmGwltw2nQHx0BWNLt4pab6yEoA6Cq2Nvl+yYiIiJ6GAtARETklfyFTMwOXiwZu2oOw6jEvuC8P0VHmCkFdTJuoowxCaVNKShtSv7vKwXh//1bypKR7/4zZGrEK/0RrwpAwn9FoQSlP+KVAbiqDcVZn7K44FMGJpkyz33L/CpBU/8zGI6NAWxGu7j5yhIICj8oy72Q7/yJiIiIcsICEBEReaVPS61BWcU9u8eNogJvxr+F9CI07487RqYUVTLRhmqZd1E//ToapF9H/fTrqJdxA2VMyW7dr6/NCF+jERWNCQ7bWCHgsjYcZ33K4pxvBM74lMU5n7I45xORY//ywFpQ1/0ExpPjAdFiFzddmA9B4QtF6WcK9DyIiIiIHGEBiIiIvM6z2uPo7bdfMjY5qQf+NVfwcEbeK9IQj2fvnULjtKtokH4ddTJuwsdmKuy0JMkhorr+Lqrr76JL4pFsMdu50rBWqQXrY/Vgq14PtrIVAVn2qRYVwY2B2qNgPD0VgO2R3kUYz84CFL5QhDR16/MgIiIi78QCEBEReZUgWRpmBC+VjO031MAPaW09nJF30VhNaJ1yDh3unUD7eydRMzOmsFNyCVnCXcgS7kL5104AgOjrD2u1OrBWr3e/KFSxOqBQQhHWCmKNdJjOzbHvRLTCeHoShAZTINfV8fAzICIiopKOBSAiIvIaoihiWqnlCJOn2sXSbBoMSxgAkQtkupYoorr+DjrcO4kO907gqeSz0NrMhZ2V2wkZaVAcPwjF8YMAAFGpgq1KTVhrNICsQXOIVQbCfHmR/YY2EwwnPoGm0QzI/at6OGsiIiIqyVgAIiIir2GN/RMv+B6RjI2/1xu3rSEezqjkapB2Da/e3YsXE4+gkiHeLftIUvjgrkqHWFUg7qp0/30FIl4ZAItwf+0vm/BgzS8BooD//x6An9WAUHMaQs2pCDGnIdR0/9+Q/x4LsBpclqtgNkF+7gTk505A9fNSaEqFIu2pSjAEXLVvbM2E4fhYaBt/Dk5ETkRERK7CAhAREXkFmzERxgvzJWPbM+vjx4yWHs6o5Ak1peDl2APoe3cPGmTccEmfSQofnPStgON+FXDCLxIXfCJw579Cj1Gucsk+HFFbTYgwJaNm5m3UyIhBzczbqJVxCzUyYxBo1Reob9m9eARsiIfQTAH9YxJvx8wpMBz/COHykYi1BhVoX0REREQAC0BERFQC2a+aJWJZ2By01abbtU2y+mJEYj9wpEX+KGwWdEw8jn5396DjveNQitZ893VFE4oTfhVw0i/yv4JPBdxQhwBC4fxsjHIVrmrDcFUbhs3BDf8/IIqIMCWhZkYMambeQu2MW3hNfg3yWxKjeZwQAPj/ZYFNJcBYSW4XFw1xWBH2JbrfHYVU0aeAz4aIiIi8HQtARERU4r3itwdttackY2PuvYp4W6CHMyr+6qVfR7+7e/By7AGEme3nVMqNRIUftpWqi62l6mN7UF3EqnWuTdJdBAEx6lKIUZfCjlL3J2t+eUBZID0V8ounIb9wEvLzJyG7dh6C1XlBTBCBwH1mJCsBUzn7IlAt1S1sDJqKFxI/QoagdcvTISIiIu/AAhAREZVo5RXxGB/0o2Ts54ym2JTZxMMZFWOiiE6JxzDyxia0SL2Q582tEPB3QFVsLVUPW0vVxxH/SrAJJWjSbb8AWBs2h7Vh8/v/Nxogv3IWsvMn7xeFLpyCYLZf4l6wAbrdZiQ9K8AcZn88qvvH4ELSEKy5+BSWlm6Nk34VsmL2o93+X/KAsgV/TkRERFRisABEREQllgAbvgj+AX4yo10s1hKIsfeiCyGr4kdus6Jn/CGMvPEL6mbcytO26TI1NoQ2webgBvgjqC6SlH5uyrIIUmtgrdkQ1poNYQbuF4T+PQzF0f2QHz8IWVpyVlPBAuh2mHDveRWsOomiWKSIAfo/MPTQFpzwjcTy0q2xOrw54lQcvUZERES5wwIQERGVWK/7/4EnNdIjVT5M7I9kmxcVI/JBazWi/93dGH5zc55X8vpTVxNLS7fG+pCmyFBo3JRhMaPWwNqoJayNWgI2K2SXzkBxbD8UR/dDdvcmZCYgaLsJ9zqqYfO1n/dI/5gCskwRDU7eQIPLKzD98ir8HPo45pXtgH2BjxXaXElERERUPLAAREREJVJVRQxGB/0kGVuZ1go7DfU8nFHxoTNn4O2Y7Rhya2ue5ve5qgnFstKtsDy8Fa5pw9yYYQkgk8NWvS5M1evC1OstCHduQHF0PxRH9iDoj3O495wKotq+oJPRUAmZAfC5YIUCNvSI/xs94v/Gcd9IzCvXAWvCmsPg5tXRiIiIqHhiAYiIiEocGWz4ImQxNILFLnbDEoIJSb0KIauir5Q5DSNvbMKgmB0IsBpytU26TI11YU9gWenW2Bv4GMSSNKePh9yfx0cOoDVQvjWqBd/BB6d/wQv1/4Yg8U4t7QkFZAYRmhu2rMcaZNzAwvPfY9rl1VgU8Qy+iWgHgHMAERER0f9jAYiIiEqc/v470Uh9RTI2PGEAMkSupvQwlc2Mwbe34aPrPyPIkpmrbW6og/FF+Y5YXPoppCt4PF3pok8ZvOXzJp5NbIpFYfMhF8TsDWQCUlorIdtugio2eyzEko5RNzbhwxu/QrS0gunZKNgeq8/bw4iIiIgFICIiKlls+liM1q2XjH2f+iwOGmt4OKMiTBQRFf83pl5ZgyqGuFxtcsYnAjMjO2NNWHOYZXwb4U7bDQ0x8l4/fB68xD4oF5DcRoWg301QJov2YYjA4T1QHN4Da2QVmDu+AkvTpwA5f2ZERETeiu8CiIioxBBFEaYL8+ArserXVXMYpiVHFUJWRVPT1EuYeWllrpdz/8u/CqZVeBG/BjfibV4etCa9FUJlqRgdZF/UFFUCkp9VodRmI+QZjvuQ37gM+TcTYVu/CKZOr8DSoj2g5DxBRERE3oYFICIiKjGssX/CmviPZGxkYj8YRP7RG2mIx+QrP+LluIO5ar81qB5mRHbGbl1N3kZUSL5K7YgweTJeC9hpF7P5CLjT3hcRmzMgUffMRhYXA83iWbD9vATm53vB/PQLgJq37xEREXkLFoCIiKhEEM2pMF78RjK2Kq0VDnj5rV/+lkyMvvEL3ru5BRrRnGP7n0Mex6QK3XDcv6L7k6McCBif9DJC5Gl40de+wKkMsGJv5yqI31sKXWOPQAGbRB//T5aUAPWq+VD9shym9j1gbtcN8PV3V/JERERURLAAREREJYLp4neAOcXu8ThrACYlv1QIGRUd3eL/xlcXlqC0xPF51GG/ShhRNRp7dTU9kBnllg0yvJcwEKVkaWipPWcXr+F7G1dbh6Hazdl4I2YXXr+zC2HmVKd9CumpUK//AarNa2Bu2xXm516CGBDkrqdAREREhYwFICIiKvas947CcvcPydi4e9FIsfl6OKOiobQxCV9dXIJuCYdzbHtTXQpjK/XC6vDmnOOniDJBiYHx72J96emorbppF3/e5xhiI3QYq4nG5ApdkVj9LFS/rYbsrn3bhwmGTKh+WwXl9vUwt+8OU8feHBFERERUArEARERExZpoNcB4bq5kbGtmA/yW2djDGRUBooj+d3dj5uWVOS7rni5TY0ZkZ3xRviP0crWHEqT8She16BP3Pn4pPQXlFYl28f7+u3DXEoSvUjvB0rojLC07QH54L1SbVkB+45LTvgWTAapfV0K582eYnu8Nc/vugMYnzznqFt92GEseUDbP/REREZFrsABERETFmvnqcoiGu3aPp9k0GHsvGoB3TVxcSR+HBRcWoV3SaaftrBCwuMxTGF/xJcSqdZ5JjlwizqpDdOwwbCw9FUESy3+NDlqPWGsggF6ATA5r06ehb/IU5Cf/guqXFZBfcn5uCJkZUP+0CMptP8H8QjTMbV4EVCwOEhERFXcc401ERMWWNfUizDc2SMamJPXAHWspD2dUeGSiDUNv/o7j/4zOsfjzR1AdPP74FLz12Bss/hRTly1l0D9+KPQ2pWR8ZvBSWBIfuvVPEGCt3wz6cV8hc8wcWOo2yXEfsrRkqFfPh8/IaCh2bQIsFlelT0RERIWABSAiIiqWRJsFpnNfAhIrHv1tqIrl6U95PKfCUivjFvYe/RSzL6+Ar83xWuAJCj+8WvMdPFdvNE75RXowQ3KHw8aqeCfhTVhF+1FuCsEG4+lJsKZeyB4QBNhq1Ifhw5nI/PQbWBq3ynE/sqQEaJZ8Dp8xfaHYvw2wWV31FIiIiMiDeAsYEREVS+abG2BLv2wfEJQYea8fRC/4jEMm2jDixiaMv/YTVKLzP8rXhD2JYVVfRbwq0EPZ0QPO5sQpqG36hvjoXh9MD15uH7QaYDjxCbSNZ0PmE2EXtlWqAcPQiZBdvwjVT4ugOHHI6b5kcTHQfDcF1i1rYer9Nqy1vXB+LSIiomKs5L87JiKiEseWGQPzVYk/eAEoK/bGRbP9H7slTRljEraemIrJV9c6Lf7cUgWha50P0KfWuyz+lFAr0p/GF8mdpYPmZBhOjINoSna4va1CNRiGT0PmuHmw1GiQ4/7kNy5BO+MDaGaPhnD7Wr5yJiIiIs/jCCAiIipWRFGE8dwcwGayiwm+FaCs0BNAnOcT86BOCUex6Ny3CLGkO233bZk2GFPlZaQq8r6SExUvs1K6oIziHnr77beLifoY7NsxBj1jR0Av/v9kzo+uyGWrVgeG0V9AfuYIVOsWQX7lrNN9Kk4cgvzU37A89QJM3fpDDPSeObeIiIiKI44AIiKiYsVydztsySckIgLUNd6DIJOeFLckUNnM+Pzicmw8/bnT4s9FbTjaNBiHwY8NZPHHawgYldgXO/R1JaON1FfxTcg3kCOH+XsEAdbaj0P/ydfQvzcZ1nKVnTe32aDc9Qt8RvaBctMKwOR4DioiIiIqXCwAERFRsSGaU2G6tEgypijXGfLAWh7OyHOqZd7BvqOf4r3bWxy2sULAzPIvoOHj07BHV9OD2VFRYIECb8a/jWPGSpLxdj4nMa3UcgBizp0JAqyNWkA/cSEMb38MW3hZ580NmVCvWwifUa8i+u5eCKL95OxERERUuFgAIiKiYsN0eTFgTrF7XFCHQFW5v+cT8gRRRN87u/HP4bFolH7NYbPr6mA83fATjKnyMgxylefyoyJFL6rRL24orprDJOOv+O/FB4Ebc9+hTAZLs7bInLIExj5DIfoFOG9+Lw5Lz32Dg0c+wZMpF5y2JSIiIs9iAYiIiIoFa8oZWGJ+l4ypqg+GUAJvdfK3ZGLZ2a/xw/nv4OdkefefQpqg8eNTcTCwugezo6Iq0RaA6LhhSLD6S8aH6zYh2m933jpVKGF+NgoZM1bC9HwviArnt1o+nn4Ve49NwOKzC1DGmJS3fREREZFbsABERERFnmizwnT+K8mYPKQZFKFPejgj96ufdg3/HB6HV+IOOGyjlynxdvXX0Kv2e0hW+nowOyrqrlvC8Grc+8iwqSXjU0sthyXB+bLvknz9Yer9NjKnLYP5iWdybP5q7D6c+ftDfHhjE1Q2c973R0RERC7DAhARERV5lls/w5Z+1T4gU0NV7W3PJ+RmvWIPYO+xCahqiHXY5rRPOTzReBK+j2gLCIIHs6Pi4qSpIt6MfxsW0f7tnlwQYTw9FdYU5yt9SdEtvo3AX23Qal9Hi4af4kBANaft/a0GTLuyBsf/GQ35iXwUnYiIiMglWAAiIqIizWaIh+nqCsmYslI0ZNpwD2fkPnKbFdMvr8LKs/PhI7HM/QPfRLRFs8YTcca3nAezo+Jol6EuRiT2kw7ajDCcHA9bxs189/9XYDW0bjgePWsNxWWN9LxDD1TX34V29mhoZo+GEHsr3/skIiKi/FEUdgJERETOmC5+C1j1do8LvhWgLB9VCBm5R5A5HavOfIVnk047bJOk8MGgx97AhtCmHsyMiru1GS1RWp6MUUEb7IPmVJzfPwYv3vkI8bbArIeTBzhf9SsbQcD6sCfwa0gjDLm1FeOub4C/1eCwueLEIcj/PQJzh5dgerEPoCl583cREREVRRwBRERERZYl4W9Y4/dJxtSPDYEgKxmfY9RNv4G/joxzWvzZH1AdjR6fyuIP5cvc1E5Ylva0ZCxSkYDlYV/CT7AvtOaFSabE55EvoGbTWVge3tJpW8Fihuq3VfAZ3Rfyf3YDYi6WpiciIqICKRnvnImIqMQRrQaYLnwtGVOUfhZyXR0PZ+QePeIOYdG57+DrZJWvr8q2x4gq0bCUkIJXSaRbfLuwU8iBgLH3ohEmT8ZzPsftonXVN/B96NfoG/cezAV8e3hXHYQBNd/GdxFt8eXFpWicfs1hW1lSArTzxsNStymMrw6FGM7bGomIiNyFI4CIiKhIMl9bA9Fw1z6g8IOq6kDPJ+RiMtGGyVfWYM2ZrxwWfwyCEq89NgjDqvVj8YcKzAYZBie8iX8MVSXjrbVn8HnwYgiwuWR/BwOr48nGE/Fm9YGIV0ovSf+A4tTf8Bk7AMoNSwCT42IoERER5R8LQEREVOTYMm4i49r/JGMjYqMgqHSeTcjFdOYM/HJqJkbd2OSwzS1VEJ5p+DGWlXnKg5lRSWcQVRgQPwSXzKUl4939DmGcTvq1lx82QYZFEW1Qs+nnmFu2A0SZ47eegtkM9c9L4DPuNchP/eOyHIiIiOg+FoCIiKhIEUURxvPzoBKsdrHDhipYnd6qELJynaqZd3Hg6Cd47t5Jh232BT6GJxpPwj8BVTyYGXmLJJsfomOHIdYSKBl/K3AbzDd+cuk+k5W+GF6tL/QTF8JSo4HTtrLY29DOGgH1vE8h3It3aR5ERETejAWg/xw9ehQvvfQSIiMjERERgXbt2mHDBonVMiSIoojt27dj+PDhaN68OSIjI1GmTBm0aNECn3/+OQwGxythEBFRdtbYnbAln7B73CLKMObeqxCL8a+u5innse/oeFTXS9za9p8FEe3wbP2PEKvWeS4x8jq3rCF4Ne59pNk0knHTpe9hubvD5fu1lasMw+gvYHhrHGyBQU7bKv/5Ez5j+kK5ZS1gtbg8FyIiIm9TfN9Fu9CePXvQoUMHHDp0CN26dcOAAQMQGxuLAQMG4Kuvvspxe6PRiJdeegkrV65EmTJl0K9fP/Tp0wcGgwETJ05Ex44dkZmZ6YFnQkRUvInmNBgvfi8ZW5TWDmfM5T2ckev0iDuEbcenIsSSLhk3CgoMqv46hlQfADPn+yEP+NcciYHx78IoSp9vxrOzYUk84vodCwIsT7ZD5tRlMD0bBVFwcluYQQ/16q+h/fQtyK6cc30uREREXsTrC0AWiwXvvfceZDIZfvvtN8yZMweTJ0/Gvn37ULVqVUycOBE3btxw2odcLse4ceNw/vx5/PTTT5g4cSJmzpyJQ4cO4bnnnsPRo0excOFCDz0jIqLiy3RlKWBOtnv8jiUInye/6PmEXEEU8eGNTVhz5itoRLNkkxiVDm0ajMMPEc94ODnydvsNNfFewuuwiYJ9ULTCeHoirKkX3LNzX3+Y+gyF/tNvYK1c02lT+Y1L0H72NlQr5gL6DPfkQ0REVMJ5fQFoz549uHr1Knr06IF69eplPR4YGIjhw4fDZDJh9erVTvtQKpX48MMPodPp7B4fPnw4AGD//v0uz52IqCSxpl6A5fZvkrFPknojQ9R6OKOCk9usmHdxMaZdWeOwzT/+ldG08ST8FVjNg5kR/b9NmU0wPqm3dNBqgOHEx7Blum+Ze1vF6tB/PA+G/sMh+vg5bCeIIlTb18NnTD/Ij+x1Wz5EREQlldcXgPbt2wcAaNOmjV2sbdu2AApWvFEqlQDujxIiIiJpomiF6fw8AKJdbIe+LjZnNvZ8UgXkazFgw+nZeCvG8TwqP4c8jjYNxuGu2vlcKETu9kNaO3yV0lE6aE6B4fhY2Iz33JeATA7LMy8ic/pymFs+57xpUgK0cz+GZs5YCIlx7suJiIiohPH6SQYuX74MAKhSxX6llfDwcPj5+eHKlSv57n/FihUApAtMUorjhNEmkynbv0QlHc9517Pd3Qoxzf42E71NiXH3ogFkvz2lqF8ryxiTsPHULDRKv+awzZyyz2FE1WjYnMx/QuRJ05KjECZPQS8/+w++RMNd6I+Phaz25ALtI8fXrkoL/avvQ9GsHfxWzoXijuPb8BVH90P271FkdukHwzOdAZnrP2zj9Z68Ec978kbF9bzXaKQXc3BESE5Otv+41Yt069YNu3btwtGjR1G5cmW7eM2aNZGRkZHjPEBStm/fjl69eqFatWrYs2cP1Gp1jttcuXIFVqv90sdERCWVzJqOsLsTIbPZT5Y/M7krvkzpXAhZ5V+d9Bv45dQsRBoTJeM2CPigah98Vc75KAeiwqCABT+EzkNbn1OScaO6OmpcGA4TlPnq/5+WuV8UQ7BaEHZwK0rv/RWyHFYByyhTATc79YW+dGS+8iIiIipu5HK5ZA3DGa8fAeQuR48exWuvvYaAgAAsWbIkV8UfAIiIiHBzZq5nMpkQGxuL8PBwqFSqwk6HyO14zruW7dJ8iBLFn6vmMCxIKV5FkjZJp/G/018i0KqXjGfKVOhTczB+CX3cw5kR5Y4FCryZ8DYu1foSSLcflac2XsCXIYvwbsIg2PIxk0D58nlcya/iW0hu+yL8Vs6F6txxh81871zHYz9Mhr5dFDI79wFUeftE1BFe78kb8bwnb+Qt573XF4ACAgIAAKmpqZLxtLQ0u8mdc3Ls2DF069YNgiBg/fr1qFnT+coWD8vrEK6iRKVSFev8ifKK53zBWVPOwhC3XTI27t4rMOZzlEFh6Bb/N1acmQ+1KD1SIVYZgK51P8Q/Afa3HBMVJXpRDZ8GE6E/+gHEzFt28S6+/yDJ5oexErdn5iRf18zIyjCN/gK2A9uhXj0fQlqKZDPBZoPPtnXQHDsA44APYK3turnDeL0nb8TznrxRST/vvX7igQdz/zyYC+hhsbGxSE9Pz9OwqmPHjqFr164QRRHr169Ho0aNXJYrEVFJIopWmC7Ml4zJQ5vjT0NdD2eUfwNjdmLNv3MdFn/O+kSgRaMJLP5QsSGoAqGpPwmCqpRkvL//LgwP/MWDCQmwtGiPjGnLYG71vNOmsvgYaGd8APXC6UC69Ad8RERE3sjrC0AtWrQAAOzcudMutmPHjmxtcvKg+GOz2bBu3To8/jiH+BMROWK5vRm2tEv2AZkaqmpveT6hfBpxYxO+vbAIcokVzABgd2BNtGr4Ka5pwzycGVHByLSloWkwCZD7SMY/0P2CAf6OV7lzC79AGF8fBf3oL2Ar7fx2MuXe3+Ezph8Uf+0ERK+e8pKIiAgAC0B46qmnULFiRaxbtw4nT57MejwlJQWzZ8+GSqVC7969sx6/e/cuLly4gJSU7MOPjx8/jq5du8JqteJ///sfmjZt6rHnQERU3IimZJiuLJWMKSu+DJmmGBRLRBHTL6/C1CtrHDZZFdYcz9cfhWSlrwcTI3IdmV9laOp9Csikb8ecVGoVuvoc8mxSAKw1GyJz4kKYuvSDKHc8o4EsNQmarz+D5suPuGQ8ERF5Pa+fA0ihUGDu3Lno3r07OnXqhKioKPj5+eGXX37BzZs3MXHiRFSoUCGr/YQJE7B69WrMnz8f0dHRAICkpCR07doVKSkpaNeuHXbt2oVdu3Zl209gYCDeeecdjz43IqKiynRpEWBJt3tc8CkHZWT3Qsgob+Q2K765sAgD7u522GZOuefwYZVoiFzmnYo5eVA9qGt/BOOpiQBsdvEvQ35ASpwvdnn6tk2VGqaoAbA0fRrqxbMgv/Svw6aK4wchP3ccph5vwNy2i1uWjCciIirqvL4ABACtW7fGli1bMHXqVGzYsAFmsxm1atXChAkTEBUVleP2qampSE5OBgD88ccf+OOPP+zalC9fngUgIiIA1uR/YbkrPfGzuvo7EByMNCgq1FYTVp6dj64Jhx22+aRiD0yp0BUQ8jZBLlFRpQh9EmKN92E6N9suphSs+D70a/SO+wCHjVU9nputXCXox34F5c6NUP3vOwgG6VX4BIMe6hVzoTi0A4bXRkAsW9GziRIRERUyITk5mTdFU4EYDAbcvHkT5cuXL9EzphM9wHM+/0SbFYbD78KWftUutinjcbyV8HYhZJV7/pZMrD/9BZ5JPiMZt0HAkGr98W3Zdh7OjMi1kgeUlXzcfGMdTJcWSm9j9UH32FE4Zy6X535dRUiMg3rZF1AcP+i0nahQwvTiqzB3ehlQOC4683pP3ojnPXkjbznvOS6diIg8xnJ7k2TxJ8OmxoSkXoWQUe6FmFKx/fgUh8UfkyBHdK3BLP5QiaaM7IF5KdKrcOnkmVgZNhvlFfEezur/icFhMLw/BYZ3xsMWEOSwnWAxQ73+B2jHvwnZlXMezJCIiKjwsABEREQeYTPeg+nKMsnY7JQXcccqvdx0UVDOkIg/j32GxyWKVwCQIVOja90P8b+wJz2cGZHnTU3ujlVprSRjpRUpWB02GyGyFMm4RwgCLE88g8ypS2Fu3dFpU/mtK9B+9g5Uq78GjAYPJUhERFQ4WAAiIiKPMF1aCFgz7R4/b4rAwtSiO2qmoj4Ou45PRA39Hcn4PYUvOtQfg22l6nk4M6LCImD0vVfxW0YjyWglZRxWhn8Bf8H+9e5RfgEwDhwJ/cjPYQuNcNhMEG1QbVkLn7GvQX7mqAcTJCIi8ixOAk1ERG5nTToFa+xOydjYe9GwFNFfR1Uz72L7ickob7wnGY9R6fB8vdH416+8hzMjci/d4ttO41bIMSRhEHTyL9FCY38LVR3VTSwNm4vouGHQi2p3pZkr1tqNkTn5B6g2LIZyy/8giPYrmQGALD4G2unDYW7dEcbebwO+/h7OlIiIyL04AoiIiNxKtFlgvDBPMrY+4wkcNNbwcEa5UzPjFnYdn+iw+HNJE47WDcez+ENeywglXot7FyeMFSTjT2guYmHofKhg9nBmEtQamHq/Df0nX8NarrLTpso9m+Ezph/kh/d6KDkiIiLPYAGIiIjcynJrI8SM63aPp9k0mJjUsxAyylm99OvYcXwyypiSJeMnfCPRutF4XNOGeTYxoiImXdSiT9wwXDaHS8af1v6L+aHfQQ6rhzOTZqtcA/oJ38IY9RpEJ6t/yVLuQfvVx/D/dhIU6YU4nxEREZELsQBERERuYzMmwHR1hWTs8+QuiLPqPJtQLjROvYI/jk9GmDlVMn7YrxLaNRiLOFWghzMjKpru2fzRO/YDxFikV93q6HMUXwT/AAHSt155nEIJc5e+yJy4ENaqdZw2VR/dh5rffAL1we2AKHooQSIiIvdgAYiIiNzmx21zAKve7vEzpnL4Ia1tIWTkXLOUi9h2YgpKWTIk4wcDqqF9g4+QpPTzcGZERVuMNRi9Yz9AglV63pzufocwpdRKiEWoiCJGVIB+7FwY+wyFqNE6bKcwZMJ/yefQzBoJIV56MngiIqLigAUgIiJyC+u9o3jR9x/J2Ef3+sAKuYczcq518llsOTEVgRIFKwDYHVgTz9cbhVSFj4czIyoeLlvK4OXYD5BslX6N9PX/E+bLi4pUEQgyGczPRiFz8mJY6jZ12lRx+h/4jB0A5fb1gK1o3NJGRESUF0Vz2RUiIirWRJsJxgvzJWNr05vjH2M1D2fkXLt7p7D+9Gz42EyS8e1BdRBVZzj08sJdzYioqDtjLo9X497HmvDP4Ssz2sXNN9ZhykkLvkzpnOe+kweUdUWKksSQ0jB8MB2KA9uhXjkPQob0LaCC0QD1irlQHNoBw8CRECOkJ8AmIiIqijgCiIiIXM58Yz3ETPtlpJOtPpiU9FIhZORYx8Rj+PnU5w6LP78GN0TXOh+w+EOUS0dNVTAgfggMovTnjCN0P+N1/+0ezioXBAGWFu2ROXUJzE2fcdpUfulf+Hz8OpQblwGWIrDKGRERUS5wBBARETmlW2xfyHlA6hN5m/4uzNdWS7afkdwNibYAl+VWUC8kHMXaf7+ESpS+nWN9SBNE13oXZhl/XRLlxX5DTQyKfweLQudDKdi/viaUWoMMUY3V6a0LITvnxMBSMA4eD0uzNlAt/QLylHuS7QSLGer1P0Dx958wDhwJW+UaHs6UiIgobzgCiIiIXMp08VvAZn/rxwljBSxPf9rzCTmQU/FnddiTeLnWEBZ/iPJph74+hiS8AasoSMZnlFqGF33+8nBWuWdt3ArJn36HhIatnLaT37oC7WfvQLX6a8Bo8FB2REREeccCEBERuYwl4S9YEw7aPW4TBXx0rw9sReTXTk7Fn8Wln0K/mu/AKitaE1UTFTebMptgRGI/yZhMEPFVyEI8rz3i4axyT/Txw81OfZEybBpsoREO2wmiDaota+Ez9jXI/y26z4eIiLxb0XgnTkRExZ5oNcJ0YYFkbFV6axw3VfZwRtJeSDjitPjzTURbDHrsddgE/ookcoUfM1rh43svS8YUgg0LQr9Fe+0xD2eVN+YaDZA5+QeYnusJ0cm1QRYfA+2MD6BeNAPISPNghkRERDnju1siInIJ8/W1EA137R6/Z/XDtOSoQsjI3v3izxyHxZ+vI9rh3WoDnP6BR0R590NaO0xP6iYZUwpWfBu6AO20JzycVR6pNTC9/A70n3wNaznnBW3lns3wGdMP8sN7PJQcERFRzvgOl4iICsyWGQPzjbWSsSnJ3ZFk8/NwRvZyU/wZWq0/IEjPV0JEBTM3tRPmpzwnGVMJVnwX+jWe1pzycFZ5Z6tcA/oJ38IY9RpEhdJhO1nKPWi/+gSarz6BkJzowQyJiIiksQBEREQFIooiTBe+Bmz2SyEfMVbGmvSWhZBVdp0TDjst/syPeJbFHyK3EzAluQcWpraTjKoFCxaFzUNrzWkP55UPCiXMXfoic+JCWKvWcd708B74jOkLxZ+/AjabhxIkIiKyxwIQEREViDV+P6z3DktEZBiT2AdiIf+q6ZxwGD/+O9dp8ee9av1Y/CHyCAHjk3pjcWobyahGsOCH0HloqTnj4bzyR4yoAP3YuTD2GQpRo3XYTsjMgGbxLGinDYNw54YHMyQiIvp/LAAREVG+iRb9/WXfJSjKvYB/zRU8nFF2LP4QFUUCxiW9gmVpT0tGtTIzloR+hSfV5zybVn7JZDA/G4XMKUtgqfeE06by8yfg8/FAKDetACwWDyVIRER0HwtARESUb6arKyAa4+0eF1RBUFXqWwgZ/b8XEo6w+ENUZAn46F40Vqa1koxqZSYsC5uDpuoLHs4r/8TgcBiGT4Nh0EcQ/QIcthPMZqjXLYR2/CDILp/1YIZEROTtFIWdABERFU+1lDdhubVBMqasMhCC0g9AimeT+k+nhKNO5/yZV7Y93q/al8UfokIkQoZR9/pCLtjQ22+/XdxHZsKKsC/xStwwHDZWy7E/3eLb+c4leUDZfG+bjSDA0qI9LHWbQr1qHpQH/3DYVH7rCrQT34H52SiYug8END6uyYGIiMgBjgAiIqI8k8GG6cHLANF+QlOZri4UpdsWQlb3dUg8weIPUTEhQoYRif3xv/TmknFfmRErwr5EY9UlD2dWQAE6GN8aB/3w6bAFhztsJogiVNt+gs9HAyA/8ZcHEyQiIm/EAhAREeVZtN8eNFJfsQ8ICqgfGwKhkIor7e6dwk+nv4BalJ5bg8UfoqLHBhmGJw7A+gzp+XP8ZQasCp8Na3IxWB3sEdb6TyBzymKY2neH6OS6I0uMhXb2KKi/nsAl44mIyG1YACIiojwJlaVgTNA6yZgysgdkvpEezui+Z5L+xYbTn0Mj2i9HD7D4Q1SU2SDD+wkDsTGjiWTcT2aE4fhYWO8d83BmLqDxgSl6CPQfz4e1XGWnTZV/7YLPmH5Q7NrEJeOJiMjlWAAiIqI8GV/qRwTK9HaPXzWHIXLvU9Atvp315Smtk89i46lZ0Nqkiz8LItqx+ENUxFkhx5CEN/BrRmPpBjYjDCfHw5J42LOJuYitSi3oJ3wHY4/XISqVDtsJmenQLPkc2qnvQbh9zXMJEhFRiccCEBER5VprzWl085Wep2LsvWgYRJWHMwJaJp/DLydnwsdmkowvLPM0hnK1L6JiwQo5BicMwubMRtINbCYYT06AJf6gZxNzFYUC5s59kDlxEayP1XfaVH7hFHw+fh2qnxYBJqOHEiQiopKMq4AREVGuaAQTppRaKRnbmNEEuw11PJwR8GTKBWw6NRN+Nuk/jpaUbo23qw+EKPDzDqLiwgIF3o5/E1+FLMSLvv/YNxDNMJ6eBNQeDUWY9DLyRYXjkZByCKU/RFrzE1D/+A2EzHTJVoLVAtUvy6H4axeMAz6AtWZD9yVLREQlHt8RExFRrgwJ+A2VlHF2j6fatPg0qbfH82maegm/nZwOf6tBMr48vCUGPfYGiz9ExZAFCryb8AbWpT8p3UC0wnh6Kix3d3o2MRcSBRksT7+AzKlLYX6ijdO2sthb0E4bBvX304C0ZM8kSEREJQ7fFRMRUY6qKmLwTuDvkrFpSVGIs+o8mk/j1CvYfGI6AhwUf1aFNcfAGm/CxuIPUbFlhRzDEl/DyjRHo3xsMJ6ZCXPMVo/m5WqiLhjGdz65v2R8SGmnbZX7tsB3dF8o9mzmJNFERJRnfGdMREQ5EDE1eAVUgtUuctRYCcvTn/ZoNg3SrmHLyanQWTMl42tDn8CAGm+x+ENUAtggw6h7fbE41dEIGRGmc1/AfPs3j+blDllLxnfsDVHm+PolpKdCs2gGtFPfg+zWFQ9mSERExR3fHRMRkVMv+R5Ac815u8ctogyjE/vC5sFfJXXTb2DriakIskgXf9aHNEHfmu/AKpN7LCcici8RMoxLegWK8lEO25jOf4XX/bd7MCs3UWth6vUW9J9+C2ulGk6byi+cgvaTN6D68VvAaL8yIxER0aNYACIiIodEcyo+DlorGVuU1g7/miM9lkutjFvYdmIKgi3Sk6VuDG6M6FrvwiLj+gZEJY8AVdU3oKzgeL6xCaXW4P3AXwCInkvLTWwVqkH/yXwY+wyFqNE6bCdYrVBtXg2fMf0hP3bAgxkSEVFxxAIQERE5ZLq0EMFy+4JLjCUIs5K7eCyPxzJisO34FISa0yTjvwY3RO/aQ2Fm8YeoxBIEAaoq/aGs9KrDNiN0G/FZ0GoIKAHz48jkMD8bhcypS2Fp7Hy1M1liLLRffgTNnHEQEmM9lCARERU3LAAREZEka/JpWO5sk4yNu/cKMkWNR/KomnkX209MRmlzimR8S6l66Fn7PRZ/iLyEqlI0lFUGOowPDNiBuSELoYDFg1m5j1gqDIahE6EfNgW2kHCnbRVH98FndD8oN68BLCXj+RMRkeuwAERERHZEqwnGc3MkY1szG2CrvpFH8qikj8P2E5MRYUqWjP8RVAc9ag+DSab0SD5EVDSoKrwEVbW3HMajfP/CD2HzoBWMHszKvawNmiNzyhKYOr0CUe54njPBZID6x2+g/fh1yM8e82CGRERU1LEAREREdszXVkHMvGn3eIZNjXH3XvFIDhX08fjj+CSUN96TjO/S1UK3OsNhkKs8kg8RFS3K8l2hqjEMjt7OttWewpqwz6GTSc8bViyptTD1HAT9ZwthrV7PaVN5zDVopw2DesFECEkJHkqQiIiKMhaAiIgoG2vaZZhvSE/8/HlyF8RYg92eQzlDIrafmIwKxkTJ+N7Ax9Cl7gfQy9Vuz4WIii5lRAeo644DHIwCfFxzGevCZyBcnuThzNzLVq4S9B/NgeH1URD9Apy2VR7aAZ/Rr0L5+4+8LYyIyMuxAERERFlEmwWms7MB0X4C1RPGCliY1s7tOUQY7+GP45NR2RAvGT8YUA2d645AptwzcxARUdGmCG0OTf1JSLNJXxNqqm7j59LTUFFRwiZHFgRYWj2PjOnLYX6qk/OmBj3UaxbwtjAiIi/HAhAREWUx3/gJtvTL9o+LcnyYOABWOJ53whXCjcnYfnwKqhqk/1D7278KOtUbiXSF42WRicj7yIPqo0fsSCRY/SXjkYoE/Fx6Gmorr3s4Mw/wC4TxtRHIHPsVrOWrOG3K28KIiLwbC0BERAQAsGXchPnaCsnY/JTnccZc3q37DzOlYPuJyXhMf0cyfsSvIp6vNwqpCh+35kFExdNpUwV0uzsatyylJOOh8lSsKz0TzdTnPZyZZ9iq14V+wrcwRg+BqPV12jbrtrDNawCL2UMZEhFRYWMBiIiIIIo2GM99Cdjs/xC4YCqDOSkvuHX/oaYUbD8+GbUyYyTjx30j8Vz9MUhROv+jhoi82xVLaXS9OwbnTRGS8QCZHqvCZ6OLz18ezsxD5AqY23dH5rRlMLfo4LSpYNBD/eM38Bn7GuQnDnkoQSIiKkwsABERESy3f4Ut5V+JiIAPE/vDBPctsx5iSsW2E1NQO/O2ZPyUbzl0qP8RkpR+bsuBiEqOO9ZS6B47CkeNlSXjasGCr0O/w7sBvwEQPZuch4i6YBgHjUHmR3NhLSd9HB6Q3b0J7ezR0MweDeGu/eqPRERUcrAARETk5Wz6WJguL5aMKcp3xRFTVbftO9iUhq0npqJuxi3J+BmfCLSv/xESVdLzehARSUmy+aFX7Af4U1/bYZsxQesxo9RSKFByV8ayPVYP+s++y9VtYYoTh+Dz0QCofvwG0Gd4KEMiIvIkFoCIiLyYKIownZ8LWPV2MUFTGqrK/dy27yBzOracnIr6GTck4+e0ZfBs/bGIVwW6LQciKrkyRQ36xw3FxowmDttE++/F0rC5EC0luODx8G1hzds7bSpYLVBtXgOfUX2g2Ps7YLNfEZKIiIovFoCIiLyY5e4OWO8dkYz1vB6NoGWJbtlvkDkdW09MRcN06RV5zmvLoF2DsYhV69yyfyLyDmYoMDhhEBakOJ4P52ntv9Af+QA2Q7wHM/M8URcM45sfIXPsXFgrVHPaVpaSBM3C6dBOHAzZ5TMeypCIiNyNBSAiIi9lM96D6eI3krFVaa2wz1DLLfvVmTPw+4lpaJR+TTJ+URuOZxt8hLvqILfsn4i8iwgZJiX3xEeJ0bCKgnSbjGswHH4f1rTLHs7O82zV60H/6TcwDPgQor/zEZbyK2fh89k7UH8zCUJirIcyJCIid1EUdgJERFQ4TBe+Bizpdo/ftQRiYlJPt+wz0JyB309Ow+PpVyXjlzThaFd/LGLU0ss4E5H30i2Wnig+t5amt8FtazAWhHwDH5nJLi6aEmE4+iHUdT6CItjxbWMlgkwOy9MvwNLkKah+XgLlHxsgOLndS3nwDygO74H5uZ4wdXoF0Pp4MFkiInIVjgAiIvJClrh9sMbvk4yNufcqUkXXv7n3t2Ri88npaJJ2RTJ+RROKdg3G4rYm2OX7JiICgD/09REVOwqxFgcjX6x6GE+Oh/n2Zs8mVlh8/WGKHoLMST/AUrux06aC2QTVphXwGRUNxZ+/Ajarh5IkIiJXYQGIiMjLiOY0mC7Ml4z9ktEE2/QNXb7P+8WfGXjCwe0VV/8r/txi8YeI3OyUqSJeuDsW50wR0g1EG0zn58J44RuIoncUOcSyFWEYMQv6oRNhCy3jtK0sJQmaxbOg/WQQ5P9KzyFHRERFEwtAREReRBRFGM9/BdGUZBdLsvpi3L1XXL7PAEsmfj85HU+mXpSMX1cHo139sbihCXX5vomIpMRYg9H17hjs1dd02MZy62fYzkyAYC3BK4Q9TBBgbdwKmVOWwNjjdYhqjdPm8puXoZ3xATRfjIEQIz2hPxERFS0sABEReRFr7J+wxu2RjH2S9DISbQEu3V+gOQNbTkxDs9RLkvEb6mC0bTAO17Us/hCRZ6WJPng17n38mN7CcaOUkwiNnQUxw4sKHCo1zJ37IHPGSphbd4QoSE+c/YDi+EH4jHsNqmVfQki1/3CBiIiKDhaAiIi8hM0QB+OFeZKxHZl1sT6jmUv3pzNnYMvJaWjq4Lavm+pSaNdgLK5pw1y6XyKi3DJDgeGJA6Cs9KrDNgprAmynRsESv9+DmRU+URcM48CR0H/2PSy1GjltK1itUO34GT4jXoHy56WAIdNDWRIRUV6wAERE5AVE0Qbjmc8Bi/2tDElWX4y41w+A80958yLInI6tJ6Y4nPD5lioI7eqPxRVtuMv2SUSUPwJUlaKhrjUKkKmkm9gMMJ6aCNPVFRBFx6tllUS2yKowjPwc+venwFa6vNO2gkEP9YbF8BkZDcWOjYDF4qEsiYgoN1gAIiLyApabP8OWfEIyNupeX8Rag1y2r2BTGradmILG6dck4zfVpdC2wThc9intsn0SERWUovQz0DT6HII6xGEb89UVMJ6eBNHiZSNcBAHWhs2ROXkxjH2GQvR1fruwLCUJmmVfwGfsAMj/2Q2IoocSJSIiZ1gA+s/Ro0fx0ksvITIyEhEREWjXrh02bNiQ6+2vXr2KqVOnonfv3qhZsyZ0Oh3q1q3rxoyJiHLHln4NpiuLJWOK0m3xW+bjLttXiCkV209MRsN06fkyrquD0abBxyz+EFGRolt8G7rFtxH8kw/qXfoIfxuqOmxrjT8A/ZHhsOnveDDDIkKhgPnZKGTMXAlTh5cgyhVOm8vu3oR23nhoJw6G7PxJDyVJRESOsAAEYM+ePejQoQMOHTqEbt26YcCAAYiNjcWAAQPw1Vdf5aqPAwcOYPr06di+fTuCgoIgk/HQElHhE20mGM/MAGxmu5igDoOq+jsu21eoKQXbT0xGvYybkvFr6hC0afAxrnLOHyIqwhJsgegZOwIr0lo7bCNmXIP+n6Gw3jvqwcyKEF9/mF4ZjMypS2Bu+kyOzeWXz8BnylBovvgIshvS88IREZH7CcnJyV49JtNisaBJkyaIiYnB9u3bUa9ePQBASkoK2rZtixs3buDw4cOIjIx02s+1a9cQHx+POnXqQKvVIjw8HGFhYTh16pQnnkahMhgMuHnzJsqXLw+NxvmSoUQlQXE6502XfoD5xlqJiABNw+mQB9WDbvHtAu8nzJSC7ccno3amdF9XNKFo14BLvRNRcSKir9+fmBK8CgIczfsjg7JSNJQVX4Yg2H/4l9P1NXlAWRfkWfhkV85B9eM3UJw7nmNbURBgeaINTN0GQCxdzv3JUZ4Vp/c5RK7iLee91w9T2bNnD65evYoePXpkFX8AIDAwEMOHD4fJZMLq1atz7KdixYpo0qQJtFqtO9MlIso1a/JpmG/8TzKmjIyCPKieZCyvShuTsOP4JIfFn0uacLRtMI7FHyIqZgQsS38GiaHvAgpHc97YYL66HMYT4yCakj2ZXJFiq1wDhtFfQD98GqzlKjltK4gilId2wGdMX6gXzYCQGOuhLImIyOsLQPv27QMAtGnTxi7Wtm1bAMD+/d617CcRFX+iJQPGMzMB2A/yFHwrQlm5n0v2U86QiB3HJ6NmZoxk/IK2NNo2GIubGseTqhIRFWUmTTXI6s2CzK+ywzbWe0eh/+ddWJNPezCzIkYQYK3fDPqJC2F4YzRspZzf7ivYbFDu2QyfkX2gWjEXQnKihxIlIvJeXl8Aunz5/n3IVapUsYuFh4fDz88PV65IL2NMRFRUmS5+C9Eg8amqoISm9kgIjpY6zoMqmXfx57HP8JiDiVDPa8ugbYNxuK0JLvC+iIgKk6AJg6bxbMjDnMwLZEyA4dhImG+sg+jNq17J5LC0fA6Z05fD2OstiD5+TpsLFjNU29fDZ0Q0VGu/BdJTPZQoEZH3cT51vxdITb3/SyYgQHpor7+/f1YbTzAYDB7bl6uYTKZs/xKVdEX9nBcTD8F2Z5tkTIiMhkkRARTwWlMr4xa2npiKMg5ueTjrE4Fn63+Eu2rXLS9PRFRY7l/vVRCrDIOgrQzx+jJAal4g0QbTpYUwJZ6ArOrQHPstju/78sLQpiuEJ9pCu2UttLt+gWA2OmwrmAxQ/bYaih0boW8XBUPbrjkWj8g9ivr7HCJ3KK7nfV7nK/L6AlBRExMTA6vVWthp5EtsLO/hJu9SFM95mTUVoXfnQS4RM6qrItHaELj56CpdPnnaR6O0q9h8YhpCLOmS8X99yqJ9/Y8Qq9blqV8ioqIq+/W+MVRhQQhKXAy5NVl6g6R/cP3g+2igegvHTY5vHbtpdz0uoZq2h6JmU5TevxnBR/dAZnP8XldmyITvryug3v4T4pu2Q/wT7WDV5O33FLlGUXyfQ+Ruxem8l8vlqFzZ8e8YKV5fAHow8sfRKJ+0tDTodDqP5RMREeGxfbmKyWRCbGwswsPDoVIV/LYSoqKuqJ7zomiD7exiwCZRmJFroa09EuU1UnMy5H7eheYp57Hp5EwEWvWS8eO+kXi+/mjEqwJz3ScRUVFnf70vD7FCA9gufgEkH5fcprwiERtKT8NnSb2wOK0NAMG+Tfnybsm3aCoP1KqL5IR+8PltFdQH/4AgOlpdDVAY9SizdxPC/9kBQ9uu0LftBtHX34P5eq+i+j6HyJ285bz3+gLQg7l/Ll++jAYNGmSLxcbGIj09HY0aNfJYPsV5yTmVSlWs8yfKq6J2zpuurYYt+ahkTFV9MJS6yAL13/beaaw/PRu+Nukh/IcCquKFuiORrPQt0H6IiIoayeu9RgOx4RR8uuE7fBC4EXLBft4flWDFpFKr0FrzLz5M7I9EW8AjXRSd3yEeU64iLG9+BOuLfaDasBjKv3Y5bS4zZMLnt1XQ7twI87NRMHV4CfBztCobuVJRe59D5Akl/bz3+kmgW7RoAQDYuXOnXWzHjh3Z2hARFVXWpBMwX1kuGZOHtoSidNsC9f9CwlH8cmqmw+LPn7qaeK7eaBZ/iMirCIIMc1I64+W4DxBndVyUaO9zAjsixqOt9oQHsyvaxDKRML4zHpkTF8LSoHmO7QV9BlS/LIfvB72hWrcQSE/xQJZERCWLkJyc7MXLFAAWiwWPP/447ty5g+3bt6NevXoAgJSUFLRt2xY3btzAP//8gwoVKgAA7t69i9TUVISHhyMw0PEtDuHh4QgLC8OpU6c88jwKk8FgwM2bN1G+fPkSXS0leqConfM2YyL0fw8GzMl2MUFVCtonvoGgdPyHiW7xbaf9vxR3EMvOLoBSlJ6zYXOpBuhZ+z0Y5CV3uCwRUU5CZSn4OvRbNNecd9puWdrT+CypJ/SiGskDyjpsl9O12dm2xZHs0r9Q/bwEilP/5Kq9qNHC3KYLzB1egqjjapOuVNTe5xB5grec915/C5hCocDcuXPRvXt3dOrUCVFRUfDz88Mvv/yCmzdvYuLEiVnFHwCYMGECVq9ejfnz5yM6Ojrr8cTERIwbNy7r/2azGffu3cPbb7+d9dikSZMQHMxfUETkOqLNCuO/0ySLPxBkUNf5yGnxJyf97/yJ784vhAzSnxWsC22KV2sOhlnm9b9OiMjLxdsC0Tv2A3yg24j3An9z2K6v/59ooTmLdxMGAShZRZyCsFWtDcOHM/8rBC2F4tTfTtsLBj1Um9dAuf0nWFo+D1PH3hDDit9cmkREnsR37ABat26NLVu2YOrUqdiwYQPMZjNq1aqFCRMmICoqKld9pKenY/Xq1dkey8jIyPbY6NGjWQAiIpcyX1kKW7L0SENl5QGQ6+oAyPmTZCnv39yMWZdXOowvDW+FQY+9AatMas0xIiLvY4UcM5Kj8LehGr4M+QGhculFRqooY/FL6SkwXesDZWRPCPm4jubnuv5AUR55dL8QNAOyy2eg2rgMihOHnLYXzGYod/0CxZ+/wtKsDcydXoGtfN5WxSEi8hZefwsYFZy3DJcjeqConPOWhL9gPDleMiYPaQZ13fEQhPurzuTlDwVBtGH65dUYfmuzwzZfR7TDe9X6QRS8fio5IiJJwbJUzAxeig4+x522kwXWgrrWCMi0ZbI9XpACT06KcgHoUbLLZ6HauDTHQtDDLA2aw9Q5Graqtd2YWclVVN7nEHmSt5z3fOdORFQM2fR3YTwzUzImaMKhrvlBVvEnLxQ2Cxaf+8Zp8Wdm+RcwtFp/Fn+IiJxItAXgtfh3MSKxLzJtjudIs6Wcgf7vd2CO2QpR5Oeyj7JVqQnD8GnI/PSbXE0WDQCK4wfgM3EwtFPfg/zkXwCPKxERAN4CRkRU7Ig2E4ynJwOWdPugoIS6zjgISv889+trMWDtv3PQIemkwzafVOyBKRW6AvkoLhEReR8Bq9KfwkFDDcwN+R6N1Felm1n1MJ37ApbY3VDXGAqZtrRn0ywGbJVqwDBsCmTXLkD56yooDu+GkENhR37uBLTnTsBarhLMHXrC8mRbQMkFC4jIe7EARERUzJgufgdb2kXJ2OiE3lj+kw+AvN06EGJKxaZTM9Ek7Ypk3AYBw6v2wbxyz+U1XSIir3fVEo5ud0djaOBveD9wE+SCdOHClnQU+r/ehKrKAMjQGDYO1rdjq1gdxnc/henODag2r4Fi/zYIVovTbeS3rkK+aDps676HuV03mNu8CPg5Xs2XiKik4m8VIqJixBL7Jyy3f5WMrc94AsvTn8pznxX1cdhzbILD4o9JkCO61mAWf4iICsACBWandEG3u6Nx1RzmuKHNCNPFb/Bz6amopozxXILFjFgmEsaBI5E5cxVM7XtAVOU8Z4cs5R7UPy2C77BeUC37EkLsLQ9kSkRUdLAARERUTNgybsB47kvJ2AVTGYxK7Asgb7dm1Uu/jr3HJqC6/q5kPFWuwQv1RuJ/YU/mMVsiIpJyxFQVHe58glVprZy2a6y+gq1lJuD9wE1QwvkIF28mBofBFP0uMmavgalLX4g+fjluI5gMUO34GT6jXoVm7seQXTjFeYKIyCuwAEREVAyIVgMMpycDVoN9UKbGoIR3kCnmbcWCp5LOYNexiShjSpaMxyoD0LbBOOwMqpOPjImIyJEMUYsR9/qjf9wQ3LHoHLZTCxaM0P2MzWUmor7KwfxBdJ+/Dqao15Axey2Mvd6CTReS4yaCKEJxZC98Jg+B9tM3odi3FTCbPJAsEVHhYAGIiKiIE0UrjP9Oh5hxXTKurjEUF80ReeozKu4vbD45HYFWvWT8kiYcrRp9imP+lfKaLhER5dJ2fQO0iZmIFWmtnbarpbqFTaUn42Pdj9AKRg9lV0xpfWDu2BuZn6+G4Y0xsJavkqvN5NcuQPP9VPgM6wnVuoUQ7sW5OVEiIs9jAYiIqIgzXVoEa8JByZgioiMUpdvmvjNRxIgbm7D2zFyoRelbCo74VUTrRuNxRRuen3SJiCgPUkUfjLrXDy/dHeF0biC5IOKtwG3YHTEOnXwOA+AtS04plLC07AD9xIXQj5wFS92mudpMlpYM1aYV8PmgN9TzPoXs/EneHkZEJQZXASMiKsLMt3+D5eZ6yZjMvypU1d7KdV9KmwVfX/gBA+7udtjmj6A66FH7faQrtHnOlYiI8u+AsQba3fkUHwZuxKCAbQ5XCiuruIfvQhdgr74mxt17BZcseRsB6nUEAdbaj8Na+3HIbl2Bcsv/oDj4BwSL2flmNhuU//wJ5T9/whpZBeZ2UbA82Q5QqT2UOBGR63EEEBFREWVJPAzThfnSQWUg1HXGQpCrctVXKXMatp6Y6rT4sybsSXSuO4LFHyKiQmIQ1ZiU3BOd747FGVM5p21bac/ij4hPMU63Fr6C9O28lJ2tXGUYXx+FzM/XwNS5D0TfgFxtJ79xGZofZsL3/R5QrZwHIUb6lmwioqKOBSAioiLIln4VxtNTANFmH5Qpoak3HjJtmVz1VT0zBgeOjEfrlHMO28wp+xxerfkOzDIODCUiKmwnTJXQ8c7HmJHcFUbR8XVZKVjxduBW7IkYi26+h8DbwnJH1AXD1ON1ZHyxFoYBH8JarnKuthMy0qDatg6+Y/pBO+U9KA7+wUmjiahY4Tt9IqIixma8B8OJ8YA1UzKurvkB5IG1ctVXm6TT+PHfOQiySPdlhYAPqvbBvLIdACFvS8gTEZH7mKHAnJTO2JzZGNNKLUMzzUWHbUsrUjAv5Hv08fsT4+5F46y5vAczLcbUGliefgGWpzpBdv4EVNvXQ35kHwSpD18eIT9/AvLzJyD6BcDc8jmYn+kMsTSPOxEVbSwAEREVIaLVAOPJTyEapVcfmZHcFXM2VwNwO8e+BsbsxLyLS6AUrZLxNLkG0bXexebghgXImIiI3OmiOQLdY0ehq89f+DhoLUorUhy2baa5iK1lJmBZ2jP4IqUzEm25u8XJ6wkCbDUawFCjAYTEWCh3bIRy968Q0lNz3jQ9Faota6HashaWmg1heaYzLI1aAsrc3aJNRORJLAARERURomiD8cxM2NIuSMb/l94cc1JeyLEfmWjD9MurMOzW7w7bXFcHo0vdD3HaLzLf+RIRkacI+DmzGbbr62NY4Ca8HvAHlIJ0cV8uiBgQsBM9/A5gQepz+C61PfQiJy7OLTE4HKaeg2Dq2g+KQzuh/GM95Ncdj756mOLsMSjOHoPoGwBz83awtHoetgrV3JwxEVHusQBERFREmC//AGv8fsmYTFcXI6/3BeD8Ni0/ix7Lz36NzolHHbb5y78KutX9AHGqwIKkS0REHpYhajEpuSfWpLfExFKr0Vp7xmFbf5kBI3U/o6/fLsxO6YI16S1hhdyD2RZzKjUsrZ+HpdVzkF36F8pdm6D4exeEXMz5I2SkQrV9PVTb18MaWQWWVs/D/GQ7wF/n/ryJiJzgJNBEREWA+fbvMN9YJxkTtGWhqfsxTFA67aNGxm0cOPqJ0+LPmrAn0bbBOBZ/iIiKsUuWCLwcNxxvxL+N25ZSTtuWVqRgRvAy7IgYjw7ao+BE0XkkCLBVqwPjoDHI+HIdjNHvwhZRIdeby29chnrlPPi+1wOar/6PvfOOs6Mq//9nbtm925JN2WzahiQQSui9C4KCCCoCVgRFEEUEEb/oV8WC+hVREX5KURSCgPQioQZIgJgACSEV0rMp2/vd3bu7t875/TF37p2Ze6beuW3v83699rW7U8555syZU57zPM/5Bbzr3wES8RwKTBAEoY8QDAapFyCyIhwOo6WlBU1NTQgEAoUWhyByjtt1PtG/FuENN/N3/PLVoeq4O+GpnoX6Rfpxfy7qXoX7t92HukRY95pf73cRfj33Igr2TBAEMY6oEiL43oSXcc3EV1EpmCsW3g8fgN8Gv4A1kQNclyV4xSzX0yxKGINn+yb431wM35q3IcRitm4XJ05G/NRzED/5kxDn7J8jIZ1DY3uiHCmXek8KICJryuVjIQgZN+t8IvihpPzhKW4EPwJH3wpv/WEAwFUA+cQ4bm1+3DDeT1jw46qDv4XHG0/NSlaCIAiieNnP142f1D+Dz9SssXT9K6NH44/BC7EtNts1GcpGAaQkNAj/iiXwv/kCPJ0ttm9PzJ6H+MmfQPzkT4BNacyBgPahsT1RjpRLvScFEJE15fKxEISMW3U+MbgZ4fU/AxJj3POVC2+Cb/rZqf+1CqDGSBCPb/4LTh/cpptHt38CLj7sB3h34oGO5SQIgiBKh6MqmvGzSU/jlIB+36DkpZFjccfgZ1zZOr4sFUAyslXQf1+RYgVF9C1y9UgceIQUPPr4M4Hawu3gRmN7ohwpl3pPCiAia8rlYyEIGTfqfGJwK8LrfwokRrnn/XMvRcX8y1THlAqgU4Pb8Pjmv2BGNKibx5raefjiYd/HvkCDIxkJgiCIUoXh7KqN+Gn90zi4ot3SHa+MHo07gp/BRzHr8W20lLUCSEl4FL7334b/v6/Cu22D7duZ14fEESdKlkFHnwJU5HcXNxrbE+VIudR72gWMIAgizySGtiO84We6yh/f9LPhn/c1/s2M4frWV3Fb82PwM/4WwADwjxkfxw0HXI6It8INkQmCIIiSQsDSsSPx5tjh+ELNStxU/zxm+AYM7ziveh3Oq16H10aPxB2Dn8XG6Nz8iDoeCVQjfvp5iJ9+HoSuNvhXvArfiiXw9Hdbul1IxOFbtxK+dSvBKgOIH3UK4iecicQRJ+ZdGUQQxPiCLICIrCkXbSlByGRT5xPDOxFe979APMQ97512OioX/i8ET+ZWvbP+sQv3bfsHvtTznr5sgh/XHngF/jXjDFtyEQRBEOOXgBDBlXVL8b2JL2OCh+92rGXp6OH48+BnsT4633I+ZAFkgJiAd/M6+P77CnxrV0CIRmwnkS9lEI3tiXKkXOo9KYCIrCmXj4UgZJzW+cRwM8LrfgzEh7nnvQ2nYvaayxHnGGcePbwbD225B4eM6pvy7w404IuHfh/r6uZZlokgCIIoHyZ5QvjehJfw9bq3UOWJWrrnrbFD8behc/Hf8EIAxrtIkgLIImOj8K1dAd+7r8P74QcQeLuAmpBLZRCN7YlypFzqPSmAiKwpl4+FIGSc1HkxtAdj634MxAa5571TT0blYT/FpH+pzcM9TMQPW17CLbufQoWBy9fLk4/C1w+5BgP+WusPQhAEQZQlUz2D+M6EJfh63ZuotqgI2hydjX8MfRL/GTkRUfi515ACyD7CYD98q96E79034G3e4igNVhlA4vATED/mNMSPOhmoqctKJhrbE+VIudR7UgARWVMuHwtByNit8+LIXoyt/ZG+8mfKiag8/GYIHr8q0HNTuBcPbvkbzhjUHxCKEPDruRfh//a7EEzw2H8YgiAIomyZ7BnG1RNewxV1S1HrseaS1BWfiEXDZ+OR0BkYENWLDqQAyg6hsxW+d9+A/93X4elqM7+BA/N4kDj4KCSOOQ3xY04DmzLNdho0tifKkXKp96QAIrKmXD4WgpCxU+fFkRaE1/0ILMoPvumdcjwqD/85BI8UrFlWAH25ayXu2v4g6nUCRQNAn68Wlx/yXSyZcqTDJyEIgiAIyTXsWxNewzfrlqLOY2378lGxAk+OnIp/DH0Se+KNAEgB5BqMwbNnG3yr34Zv9Zvw9HY6Tiqx34GIH3saEsecBnH2PEAwduMDaGxPlCflUu9JAURkTbl8LAQhY7XOi6E9CK//KVi0n3veM+kYBI74FQTFTl373bcdd+1YhK90v2sow/t18/HlhddjbxVt8U4QBEG4Q70nhCvr3sCVE97ARIvBokUmYMnYUXhw+CysDB8MBmfWqKQ80oExeHZvg+/9t+Bb/VZWyiBx6nTEjzwJiSNOROKQo4FK/hiGxvZEOVIu9Z4UQETWlMvHQhAyVup8on8twpt+q7vVu2fSUQgccQsEbzpoo2frevT++TeYE+nTzTsBAbfN+Sx+PfcixD2ZwaIJgiAIIlsmCKP4et2buKJuKRp9fPdlHs2xRjwyfAaeHDkFA6K9ODSkALKAShn0Jjy9Xc6T8lcgsfAYJI44EfEjTwJrmJE6R2N7ohwpl3pPCiAia8rlYyEIGbM6H2t/FdFtfwV0gjZ76o9A4MhfQ/Am741FUfHcIvhffhwC02+Sdwca8I2Dr8HK+oNceQ6CIAiCMKICMXyuZjWunvAaFla0Wr4vwnx4ceQ4PBI6A6sjC2C2exhACiDbyMqgNcvhW7sCno59WSUnztxPsg468iSMNB2Alo5OGtsTZUW5zGlJAURkTbl8LAQho1fnGRMRa34Qsb1P6t7rmXgYAkf+BoKvSvp/20YEFv3JdOD2UOPp+P6CyzHsq3bnIQiCIAjCMgynBzbj2xNew8erPrR157boTDwSOgNPh07BENPvw0gBlB1Cxz741q6Eb+0KeHd+lFVarDKAoaYF8B59CjxHnQRx1lxLsYMIopQplzktKYCIrCmXj4UgZHh1niUiiGy5HYnu5br3eeoPl9y+fNVAaAiVT/wN/uUvG+bV76vBdw/8Jp6edpKrz0AQBEEQTjjI34pvTXgdF9W8h0ohbvm+MbECL4weh6dHTsE74YMyYgWRAsg9hGAfvOvekZRBm9dCiMeySk+sn4rEYccicdjxSBx6LNiESS5JShDFQ7nMaUkBRGRNuXwsBCGjrfMsGkR44y0Qh/S3a/c2noXKQ26AIPjhe/cNVDx6NzzDQcN8ltYfim8e/G20Baa4/AQEQRAEkR0NnkF8o24ZLq1bjgbvkK172+OT8OzISXhm5GRsj0mKH1IA5YixUXg3rYZvw7vwblwNzxB/V1I7JObsj8TCY5E45CgkDjwCqK51QVCCKCzlMqclBRCRNeXysRCEjLLOVyR6EN7wC7Bwh+71/rmXwj/va/B0t6PyX3fA99Eaw/Qjgg8/m/8l/L/ZnwITnO2mQhAEQRD5wI84zq1eh8tq38JpVVtt378pMgfPjJyM2z7zOXgqJ+dAQiKFKMKzZzu8G96Db8N78O62/760MMEDce4CJA45GomDj0LiwMOBqhoXhCWI/FIuc1pSABFZUy4fC0HIyHV+9oQgxG23AfEQ/0LBh4qDb4C/4Qz4X3kSFc//C0Isapj22tq5uOrgq7Gxdr8cSE4QBEEQuWO+rxOX1r6NL9a+g8lenb5RD8ED76Rj4Jt+NrwNJ6c3SiByhjDYD++m1fBuWAXfh6shjI5knSbzeCDOPUhSBh18FBILDiULIaIkKJc5LSmAiKwpl4+FIGTGxsbQv/VJ1AefAphO/ANfLQKH/wL+HgGVD94Ob9sewzRDnkr8ct4XcNesc5DweN0XmiAIgiDyRCVi+HTNB/ha7Vs4KbDDfgKeSninHAtfw+nwTj0Bgo8sSnJOPA7Prs3wfbQGwsbV8O3ZZrgzqVWYIEBsmo/EgsMhLjgciQMPB5syzQWBCcJdymVOSwogImvK5WMhCABgsSGMfnQH0P+u7jVCYAaqZn0XVYtfgG+NflBomRemHIPrF3wdLYGpbopKEARBEAXnQH8bLq1djgtrVmGqd9h+AoIf3snHwDvtVPimngzBX+e+kISKcDiM9u1bMTfUi6rtG+D98AN4etpdS1+cPA2JAyVlkLjgMIiz5wG0+EUUmHKZ05ICiMiacvlYCCLRvxaRzbeDRft0r/HULEDdjiZULlsCIZEwTK+tYhK+v+Dr+M/U42h7VYIgCGJc40McZ1R9hItr3sU5VetR5bG/M1WMebEyfDBeHj0Wr44ejT5xguk9FFzaPryxvdDdDu9Ha+D7cA28W9ZDGLEX+NsIFqhGYv7BEOcfgsT+h0CcfwhYPW2AQeSXcpnTkgKIyJpy+ViI8oWJUUR3PYh4y7OG1/ljc1D//D54RsKG14kQcM+sT+Ln876AYV+1m6ISBEEQRNFTJ4zi/JoPcHHNuzglsM1RGiITsD46D0vHDsfSsSPwYXROxtbyACmAnGA6thdFeFqb4d26Ht4t6+DdugHCqM2YTyaIUxuRmL8Q4v6HILH/Qoj7LQAqKl3NgyCUlMuclhRARNaUy8dClCdiaA8im2+DGNpteF3Vdj/q3h2GmR3P+po5uOagq/D+hP3dE5IgCIIgSpRZ3l5cVLMKP5n1Pthoi+N0uuIT8Wb4MCwdOwLLxw5FiFUByK0CqH5Rm+65UlY82R7biwl4Wprh3bJeUgptW+9KQGklzOuFOGsexLkHIjH3IIhzD4TYNJ+UQoRrlMuclhRARNaUy8dClBeMMcRbn0d01/2AqG+mLkQFTFgRQaBFNE6vqgbRz16GiR0nI+7xuS0uQRAEQZQ0A9+YCTG0C4nuFYj3rMxKGRRjXqyOLMDS0SNw66c+DqFmPwhCpnVQtpACSAdZIbR9EzzbN0m/g72uyykpheZKu47NPTCpFNqflEKEI8plTksKICJryuVjIcoHMdKH6JY/I9H/geF1FW0JTFgZg3dM/xrm9SF29ucQ/exlQF294WCRIAiCIMoVrcJEHNmLePcKJHpWmFrhmtGbqMPK8MFYGT4EK8MHY098GpC02c1GUUMKIIswBqG3E97tm+Dd8SE8OzbB25rdO9XNyuOBOH0OxDn7Sz9N+0OccwDYxMkUb5EwpFzmtLQMTRAEkYSJCcTbX0F090NAzCC4YYKhbk0cVVsThi5fsRM+juglV4E1lu4gkCAIgiAKgadmP1TM2w+YdymOfngtPl39Ac6vXoMjK/faTmuqdxifq3kfn6t5HwDQGp+cUgaJkY/DU0m7cOYUQQBrmIF4wwzETz1HOjYyDO/OjySF0K7N8O7eBmEse7cxQRThbd8Db/se4L2lqeNiXb1KISTOngdxxhyyFiLKDrIAIrKmXLSlxPhCu2p3ZmATfjHpSRxUYbzNqa9fxMT/xuAzaDqXTzwY/7v/V7B6wgGuyEoQBEEQ4x0jixllnz3b24tPVm/AWVUbcUpgKwJCPOu8d8UasTqyAO+HD8CayALsijcCEEyteMgCyEVEEULHPnh3bYF312Z4mjfD07IbAjN2sc8GJnjAGmdJbmTyz+x5EKc3AT5/zvIlipNymdOSBRBBEGXNQf5W/HzSU/h41Yem11Z/FEft2jgEnbGIOHM/RL74bZy1bg6ZGRMEQRBEDmhNTMWi4bOxaPhsVAkRnBrYirOrNuLsqo2Y5et3lOb+/i7s7+/CV2pXAAD6ErVYEzkA0b3HwDtxITx1B0LwVrj5GIQWjwds1lzEZ81F/GPnScciY/Ds3i4phHZvg3fPdnh6jBfq7CAwEUJnCzydLcAH/00dZ14vWONsSSE0Y47ipwkI0O6tRGlDCiCCIMqSKZ4h/E/987i09m14BWNDSM8ow4QVMVR28DU/Yv0URD9/BeKnfwrw+oD1FOeHIAiCIHLNGKvEG2NH4o2xIwEwHORvw9lVG3FW1SYcX7kTPr0VGxOmeEM4t3o9YrvWIwYAgh+eugPgmXgwvHUHwjNhAYSqmW4+CsGjsgriwUdCPPjI9LGRYUkRlPzx7tkGT7d7SiEAEBIJCO174WnPdDcUJ01NKYTYjDkQZ86BOL0JbFID4HE/0DhBuA0pgAiCKCtYIopY63+wctajqPOETa+v3JPAhPdi8EQyzyUaZiB2/lcQP/Vc8iEnCIIgiIIiYFtsNrbFZuOeoU+jThjFSYHtOC2wBacGtuCQiiwWZ1gM4tAWiENbkHI489XgiWlN2BCdi43RudgQnYuW+FTAMDogkTU1dUgceiwShx6bPjYyDO/eHZJSqGUXPPt2wdOxF0Ii4Xr2noFeeAZ6gc1rVceZ3w+xYZbkUpb8kf6eDTa5AfB4XZeFIJxACiCCIMoClogg3vUmYnseAwt3oc5kkcY7IKJuTRyV7Zmrh2tr5+IPcz6DZxtOgLjHA+xxf2tTgiAIgiCcM8yq8frYUXh97CgAwFTPIE4JbMWpga04LbAFc/092WUQH8FpVVtxWtXW1KGBRA02RvfD5mgTYh2Hw1M7H56a2RA85D6WU2rqkFh4DBILj0kfi0Xhad+bVgi17IJ3304IIYNNPrJAiMWkwNPtezLOMZ8frGEGxGkzIU6dDjZtJsSpM8CmzYDYMAOoqsmJTATBgxRABEGMa8RIL+KtLyLW/rLxzl5JhDGG2vVxVO1IQOsZtqz+UPxhzmfwxqTDKMYPQRAEQZQQveJELB49EYtHTwQgBZOWFULHVe7MXiEEYJJ3BGdUbcYZVZsR3bJEOih4IVQ3wVM7T/UjVEyBQGOJ3OGvgLjfAoj7LUgfYwzCQC88rc3wtO2Bp3W39Lt9D4SIuVW4U4R4DELHPng69nHPs5oJEKfNkJRCDdPBpjRCnNKY/D0NqKnLmWxE+UEKIIIgxiWJwS2ItfwHiZ4VALNgApxgqN6cQM2mODyx9GERAp6behz+OOczWDNh/9wJTBAEQRBE3mhNTMWTI6fhyZHTAAANnkEcV7kTxwd24vjKnTisYi8qBBdciFgCbGQPEiN7kOh6M33cVwNPdRM81U0QaubAUz0bnpo5EALTMelfnYZJlvIOYwVFEMAmNyAxuQGJI05MHxdFCH1d8LQlFUKte6TfHfsgRHOnGEqJNTIE7+4heHdv455nVTUQp0wDUyiF2ORpECc3gE1qAJs0lUIREJYhBRBBEOMGJsaQ6F6BWOt/IA7xO1EelbsTqFsbhzeUNvkJeqvxWOMp+Ovsc7G9mgI9EgRBEMR4pkeciFfGjsUrY1JsmYAQRdvnQkgMfgRxcDMSQ9uA2KB7GcZHIA5thTi0VX1c8GPpjAbsis3Azvh07IlNw+54I/bGG9CdmAiKMZQDPB6whhlINMxA4qhT0sdFUbIY6twHT/u+lBWPp7MFnv7sLcasIoyNwNu6G2jdrXsNq5sIcVIDWFIpJCmHpoLVTwGbOAXipClA7USyYCcgBINB4+1vCMKEcDiMlpYWNDU1IRAIFFocooyoX9QGgGGBvwOfqV6Nb9S8iSn+kOX7fb0i6lbHUNGTbgaXTzwY9884E882nIAxL62mEARBEAQBAAwzvf04smIPjqzcgyMqpJ9J3tG8STAqVmBPfBoOnzUHnqoZEKpmSr8D0yEEGiB4/K7kQ2N7C4yNSoqgzhYIXW3wdLXB09UKT3cbhGEXFYUuwrw+SSFUPzmpFJoKNnFy+mfCJLCJk8AmTCpLi6JyqfdkAUQQRMnBGIM4vAO31TyDc2vWoaHKXkA/X5+I6o/iCOwWIQDo8k/AQ9M/hkUzziBrH4IgCIIgOAhoT0xB+9iUlJUQwDDH14sjk8qgIyv3YKG/BZO8IzmRoNoTxcKKViR6WpHpnCZAqJgMITANQmAaPIFGxd/TIAQaIfiqciJXWVJVDXHeQRDnHZR5bmQYnu42eDrbIHS3wdPZCk9PO4SeDniCffmXNYmQiEPo6wL6ukyvZdU1YBPSSiFxwiSwunqwCfVgdfVA3cT0/7UTaJezEoIsgIisKRdtKVEYJCsfwMMS+IywBpf6l+OY+mZUVUftJSQyVLaIqN4Sh7+LQYSAJZOPxP0zzsRLU45G3EP6cIIgCIIgsoWh0RvEIf5WHFLRmvq9wN8BvxsxhbLBVwOhcgqEiqnwBKZKf1fKv6fAUzkV8E9EJBKlsX2uiEYg9HbC09MBT0+HpBRS/h7LjfIwlzBBAGrqJIVQ3USw2glgtfLvCWA16f+ROlYH+Itrd7xymdPSjIcgiOJkbBTY8wHuGluK46t3Yta0PghV9vXVQoShakcC1VsTEEaAdycswH/2Pw5PNZyE1sCUHAhOEARBEET5IqArMQldiUl4K3x46qgfcRzg78DBFW042N+KA/wdOMDfibm+bvgEMT+ixUfA4iNgI/ugm6PgBfwTMZXVIDE8DZGqKRAqJnF+6iWFkuDJj+zjhYpKsJn7ITFzP44VF4DREDy9XRD6u6Tffd0Q+jrh6euG0NsFYbAPAisu+w2BMSA0BCE0BHRYv49VBMBqaiVlUM2E5N+ScohV10pKpepayRqpuhaorgWrqpX+DlRRPCOHkAUQkTXloi0lckhoEJ49W8Fa1kAc+BAJ1o5YXRhirfOG3RsUUb01AV8z8GbtofhPw3FYPOVYdFXWuyc3QRAEQRBEFvgRx36+bixIKoQW+Nuxv78TB/g7UOuJFFo8Q+LMgwGxFv2JWhwybQoE/0QIFRMh+CdIf/snAv46CP46CL5aCP66pNKI3IUcE49B6O+RglMP9CT/7oEneUwY6IEw0AeB5UmpWCCY4AGSiiFWVQNU1YBVVUt/B6TfrKo6fTxQA1RVgVVWJc9XgwWqJUWSV7KJKZc5LSmAiKwpl4+FyBIxAaGvG56uNqBrH9CzHSy0F4l4O+K1o4g1eMD8WWryEwwV7SI82zx4I3I4/tNwAl6efBQG/TXuPANBEARBEEReYGjwDGGuvxtzfdLPfv4ezPV14+iaXiA+XGgBneOrVSiE6iD4ayB4ayD4awBvDQR/LeCthuCrgeCrlZRGvmoIvmrpOLntG5OIQxgcgBDsk34G++AZSP4d7IUQ7JcsiQYHxr2iyArMXwEEqhA94DBsPv8b435OS19PkrVr1+LWW2/FqlWrEI/HsXDhQlx77bX4/Oc/bzmNSCSCO++8E0888QTa2towadIknHvuubj55pvR0NCQQ+kJoggQExCGglLnMtALob8H6NkDNtgMFmlHAoOI1zHEJwpI1AnANAGYJt+cxUpQnKGyTURPx0QsGzscr044Cm/MP5x28CIIgiAIooQR0CNORE9kIt6PLFCdCV4xCyw2DHGsA2ysA2K4GyzcBRbuSv7dDSTGCiS3BeIhsHgILNzp7H6PX1IEeaulwNbeqrRyyBsAvAEI3qrk74Did1X6f08l4K0EPJUQvJWAJwDBpUDGcvxKPYJXzHIlH128Pmk7+Mkm80957D7YD2FoQFIIpf7WHAsNFp3rmVsIsSgQi0II529Hv0JCCiAAy5cvx8UXX4xAIICLLroItbW1WLx4Ma644gq0trbiuuuuM01DFEV89atfxdKlS3H88cfjs5/9LHbt2oWHHnoIb7/9Nt544w1MnTo1D09DEC4SjUAYGYYwMgSEpN/CyDAw2AcMtgGj3RAjfWCJIEQ2CrGKIVElQKxO/qiUPO75iAtRhnBHJdYNzMfTiZPxxoTD0TNjomvpEwRBEARBFDOCvw5efx0w4cCMc4wxIB6CmFQKsXA3xHAPWKQP7+xrx3TvAKb7gqgU4gWQ3AXEGCAOgsUG4apKQvAB3koIngrAEwC8Fcm/K5KKIr/0O3WsAoK3AhD8gMcPwSP9/nLtKKLMhyjzIcL8iDAfosyPGPMiCh/EUFTKK3m9IPgAjy+Zjjd/LnIeb3JbeAsxMcWENBcYDqZ/hgbV/w8PSoqiZDwgIVrcLoxaWGV57JJX9i5g8Xgcxx9/PNrb2/H666/jiCOOAAAMDg7i7LPPxr59+7BmzRrMmTPHMJ1HHnkE3/ve93DJJZfgH//4B4RkUKoHHngAN954I77xjW/gzjvvzPXjFARyASsAjEkNcSL5E49CiMWAWFTyDY5Lf7NYBEIsDMQiQGwUCIeAaAiIjgKxUbDYGBAfA2JhIBEGEhGwxCgYGwNjUTBfAswvgFUAYoUA5k/+rgDgyW/gNXFMwL6+BiwZORoPCB9HayVZ1REEQRAEUX4YWZCYWZ+kYZjsCWGGdwDTfQOY7g1iuncA07xDmOodxDTvEBq8g5jqGUKVJ+aO4IQlEkxADF7EmRcx5kUMvtTfcSh/+5BgHsTgRYJ5cMasGimIt+ZHSP3t0Rz3KI4n/4b0t/pc+rgUeNmTTDP9v3StoL4/HgfGRiGEwxDGRqW/x0YgjI5BGBuFEE7+Hh2Rzo2OSD+RpOKIAQJL/iFrLFjyuPy34hgUxwSd4xnXKAif9Als+cSXxv2ctuwVQMuWLcNFF12ESy+9FHfffbfq3KOPPorvfve7+MlPfoIf//jHhumcc845WL16NTZu3KhSFjHGcPTRR6Onpwc7d+5EVdX40yzG3v0n4n1vwyMIJRqN3eYnYHi59qTexZrWiGmOCdIvJnCuT7ZoTIBU3sm2Vvo/+duT/CnJ9wGAAd5YNby+mbi3fS5eYUdhO2Yhs6kmCIIgCIIoL3Z9dYbuuf0ftbENkyUYaoUwpniHMdU7hKneYUz2DGOSJ4R67wgmJ3+fOCkCxIbA4sMAxZUhSglRmmf5wtPQtuBGzJw5c1wrgMreBWzFihUAgLPOOivj3Nlnnw0AWLlypWEa4XAYa9aswYIFCzIshQRBwMc//nEsWrQI69atwymnnOKS5MWD/+Sr4MdVhRaDGKdcn/whCIIgCIIgjDFSDhEEYcz8QguQB9wLylGi7Nq1CwCw//77Z5xrbGxEbW0tmpubDdPYvXs3RFHE/Pn8KiMfl/MiCIIgCIIgCIIgCILIJ2WvABoaGgIATJgwgXu+rq4udY1ZGhMn8oPQymmbpUMQBEEQBEEQBEEQBJELyl4BRBAEQRAEQRAEQRAEMd4pewWQmXXO8PCwrnWQNo3BwUHueTMrI4IgCIIgCIIgCIIgiFxS9gogOfYPLz5PV1cXQqGQbmwfmblz58Lj8ejGCpKP8+IMEQRBEARBEARBEARB5JqyVwCdeuqpAKTt4LUsXbpUdY0eVVVVOPbYY7Fjxw7s27dPdY4xhjfffBM1NTU4+uijXZKaIAiCIAiCIAiCIAjCOmWvADrjjDMwd+5cPP3009i4cWPq+ODgIP785z+joqICX/7yl1PHOzs7sX379gx3r69//esAgF//+tdgjKWOL1q0CHv27MEXvvAFVFVV5fhpCIIgCIIgCIIgCIIgMil7BZDP58Nf/vIXiKKI888/H9///vfxs5/9DKeddhp27tyJn//859hvv/1S199yyy044YQT8OKLL6rS+epXv4qzzz4bTz/9NM455xz86le/wuWXX44f/vCH2G+//XDzzTfn+9Fyztq1a/GFL3wBc+bMwcyZM/GJT3wCzz33XKHFIoic0N7ejnvuuQef//zncdhhh6GhoQEHHnggLrvsMqxZs6bQ4hFE3rjzzjtRX1+P+vp6vP/++4UWhyByxgsvvIALL7wQ8+bNQ2NjI4444ghceeWVaG1tLbRoBOE6jDEsXrwYF1xwAQ466CDMmDEDxx13HG644Qbs2bOn0OIRhGOeeOIJ3HDDDTjzzDMxbdo01NfX49///rfu9UNDQ/jpT3+Kww47DNOmTcPhhx+On//85wiFQnmUOnf4Ci1AMfCxj30Mr776Km699VY899xziMViWLhwIW655RZcdNFFltLweDx49NFHcccdd+CJJ57APffcg0mTJuGyyy7DzTffjKlTp+b4KfLL8uXLcfHFFyMQCOCiiy5CbW0tFi9ejCuuuAKtra247rrrCi0iQbjKfffdhzvvvBPz5s3Dxz/+cUydOhW7du3CSy+9hJdeegn//Oc/LbcXBFGqbN68GbfeeitqamowMjJSaHEIIicwxvCDH/wADz74IObNm4eLL74YtbW16OjowMqVK9HS0oLZs2cXWkyCcJWbb74Zd999N6ZPn47zzz8fdXV1+PDDD/Gvf/0LzzzzDJYsWYKFCxcWWkyCsM1vf/tbtLS0YMqUKWhsbERLS4vutSMjIzj//POxadMmnHXWWbjkkkuwceNG/PWvf8XKlSvx8ssvIxAI5FF69xGCwSAzv4wg0sTjcRx//PFob2/H66+/jiOOOAKA5DZ39tlnY9++fVizZg3mzJlTYEkJwj0WL16MyZMn47TTTlMdf+edd/C5z30ONTU12LZtGyorKwskIUHkllgshk984hPw+/2YP38+nnzySbz++us4/vjjCy0aQbjKvffei5/85Ce46qqrcNttt8Hr9arOx+Nx+Hy0hkqMH7q6unDIIYdg1qxZWLFiBSZOnJg6d/fdd+NnP/sZLr30Utx9990FlJIgnPHWW29h/vz5mDNnDu644w7ccsstuPvuu3HppZdmXPu73/0Of/jDH3DDDTfgV7/6Ver4r371K9x55534xS9+gRtvvDGP0rtP2buAEfZZvnw5du/ejUsuuSSl/AGAiRMn4sYbb0Q0GsVjjz1WQAkJwn0++9nPZih/AOCUU07B6aefjmAwiM2bNxdAMoLID3/605+wdetW3HXXXRkTYoIYL4yNjeG2227D3Llz8fvf/55b10n5Q4w39u3bB1EUcdJJJ6mUPwDwqU99CgDQ29tbCNEIImvOPPNMS4YJjDE8/PDDqK2txU033aQ6d9NNN6G2thYPPfRQrsTMG6QAImyzYsUKAMBZZ52Vce7ss88GAKxcuTKvMhFEIfH7/QBAk2Ji3LJ+/Xrcfvvt+PGPf4yDDz640OIQRM5YtmwZgsEgzj//fCQSCSxevBh33HEHHnjgATQ3NxdaPILICfvvvz8qKirw3nvvYWhoSHXu1VdfBSBtnEMQ45ldu3aho6MDJ554ImpqalTnampqcOKJJ2LPnj0lHweOljAI2+zatQuA1FloaWxsRG1tLQ2SiLKhpaUFb731FqZPn45DDz200OIQhOtEIhFcc801OPzww/H973+/0OIQRE5Zv349AEmhf+qpp2Lnzp2pcx6PB9/97nfx29/+tkDSEURumDx5Mn75y1/i5ptvxgknnIBPf/rTqRhAy5cvx1VXXYWrr7660GISRE6R57jz58/nnp8/fz6WLl2KXbt2lXQcOFIAEbaRVwYmTJjAPV9XV5exekAQ45FYLIZvf/vbiEQi+NWvfkUWQMS45He/+x127dqFt956i+o4Me6R3VzuvvtuHHnkkVi2bBkOPPBAbNy4ETfccAPuuusuzJs3D1deeWWBJSUId7n22msxc+ZMXH/99XjggQdSx08++WRccskl5PpIjHvk+avWDVJGnvuW+jyXXMAIgiAcIIoivvvd7+Kdd97B17/+dXz5y18utEgE4TqrV6/GX//6V/zP//wP7f5ClAWiKAIAKioq8O9//xvHHHMMamtrccopp+DBBx+Ex+PBXXfdVWApCcJ9brvtNlx99dW48cYb8dFHH6G1tRWvvPIKwuEwLrjgArz88suFFpEgCBcgBRBhGzPt5/DwsK51EEGMB0RRxLXXXounnnoKX/ziF3HHHXcUWiSCcJ14PI5rrrkGhx56KH7wgx8UWhyCyAvy+OWoo47CjBkzVOcWLlyIuXPnYvfu3QgGgwWQjiByw1tvvYVbb70V3/rWt/CDH/wAs2bNQm1tLU4++WQ8/vjj8Pv9uPnmmwstJkHkFLn9Hxwc5J4384IpFciWj7CNHPtn165dOOqoo1Tnurq6EAqFcMwxxxRAMoLIPbLlz+OPP45LLrkE9957Lzwe0qUT449QKJTyh29oaOBe88lPfhIA8Mgjj+CCCy7Im2wEkSsWLFgAQN8FQD4eDofzJhNB5JrXX38dAHD66adnnGtsbMSCBQuwceNGhEIh1NbW5ls8gsgL8hxXL5atfJwXB7eUIAUQYZtTTz0Vf/7zn7Fs2TJcfPHFqnNLly5NXUMQ4w2l8ueiiy7C3//+d4qJQoxbKisrcdlll3HPvfPOO9i1axfOO+88TJ061dL2qgRRCsgT4O3bt2eci8ViaG5uRk1NDaZOnZpv0QgiZ0SjUQD6W7339fXB4/Gkdj0liPHI/vvvjxkzZmDVqlUYGRlR7QQ2MjKCVatWYb/99ivpANAAuYARDjjjjDMwd+5cPP3009i4cWPq+ODgIP785z+joqKC4qEQ4w7Z7evxxx/HhRdeiPvuu4+UP8S4pqqqCn/961+5PyeccAIA4MYbb8Rf//pXHHHEEQWWliDcYd68eTjrrLPQ3NyMhx56SHXujjvuwODgIM4//3wKiEuMK0466SQAwD333JPh/vLAAw+gra0NJ5xwAiorKwshHkHkBUEQcNlllyEUCuGPf/yj6twf//hHhEIhfP3rXy+QdO4hBINBVmghiNJj+fLluPjiixEIBHDRRRehtrYWixcvRktLC37zm9/guuuuK7SIBOEqt956K2677TbU1tbiO9/5Dlf5c/7559NEmCgLrrnmGjz22GN4/fXXcfzxxxdaHIJwld27d+Occ85BT08Pzj333JT7y/Lly9HU1IQ33ngDjY2NhRaTIFwjkUjgM5/5DN555x00NDTgvPPOw8SJE7FhwwYsX74cVVVVePHFF3HssccWWlSCsM1DDz2Ed999FwCwefNmbNiwASeddBLmzZsHQNrp7vLLLwcgWfqce+65+PDDD3HWWWfhyCOPxIYNG7Bs2TIcc8wxeOmll1BVVVWwZ3EDUgARjvnggw9w6623YvXq1YjFYli4cCGuvfZaXHTRRYUWjSBcR57wGnH33Xfj0ksvzZNEBFE4SAFEjHdaW1vxu9/9DkuXLkV/fz8aGxtx3nnn4Uc/+pFuTCyCKGUikQjuuecePPfcc9i5cyei0SimTZuG0047DT/84Q9x0EEHFVpEgnCE2Rj+K1/5Cu69997U/4ODg/j973+PF154AV1dXWhsbMSFF16IH//4x6irq8uHyDmFFEAEQRAEQRAEQRAEQRDjHIoBRBAEQRAEQRAEQRAEMc4hBRBBEARBEARBEARBEMQ4hxRABEEQBEEQBEEQBEEQ4xxSABEEQRAEQRAEQRAEQYxzSAFEEARBEARBEARBEAQxziEFEEEQBEEQBEEQBEEQxDiHFEAEQRAEQRAEQRAEQRDjHF+hBSAIgiAIgigm9u7diyOPPDLrdDZs2ID99tvPBYkIgiAIgiCyhyyACIIgCIIgCIIgCIIgxjlCMBhkhRaCIAiCIAiiWIjFYtixY4fu+YsvvhgdHR2YMWMGnnnmGd3rFixYAL/fnwsRCYIgCIIgbEMuYARBEARBEAr8fj8WLlyoe97n86V+G11HEARBEARRTJALGEEQBEEQBEEQBEEQxDiHFEAEQRAEQRAucc0116C+vh6HH344AKCrqwu//vWvcfLJJ2POnDmor6/Hiy++mLo+GAzikUcewdVXX40TTzwRs2bNQkNDAw488EBcdNFFePDBBxGNRi3lPTAwgNtvvx3nnXceFixYgKlTp6KpqQkf+9jH8KMf/QirVq3SvVcURTz11FP46le/ioULF2LatGnYb7/9cPbZZ+NPf/oTBgcHsysYgiAIgiAKDsUAIgiCIAiCsMHhhx+OlpYWNDU1YdOmTapz11xzDR577DE0NTVh0aJF+PKXv4ze3l7VNY888gguuOACVVpGHHHEEXjqqafQ2Nioe83zzz+P6667DkNDQ4ZpBYPBjGNtbW249NJLsX79et37Ghsb8dhjj+GYY44xTJ8gCIIgiOKFYgARBEEQBEG4zMjICC6//HKMjY3hxhtvxMc//nHU1tZi27ZtmDNnTuo6URRx3HHH4dxzz8URRxyBadOmIRqNYu/evXjyySfxxhtvYOPGjfjmN7+Jl156iZvXs88+iyuvvBKMMVRUVOBrX/sazjnnHEyfPh3hcBjbtm3D66+/jiVLlmTcOzAwgPPOOw/79u2D3+/HV7/6VZx55pmYM2cOIpEIVqxYgXvvvRddXV245JJL8Pbbb6OpqSln5UYQBEEQRO4gCyCCIAiCIAgbWLEAAoDq6mq8/PLLOOqoo3TT2rVrF/bff3/d84888gi+973vAZCsfM444wzV+Z6eHhx99NEIhUKYPHkynn32Wd38WltbMXv2bNWxq6++Gk8++SRmzJiBxYsXY8GCBRn37dmzB+eccw66u7vxxS9+Effdd5+uvARBEARBFC8UA4ggCIIgCCIHXH/99YbKHwCGyh8A+NrXvpaKJ6SMHSTz97//HaFQCADwpz/9yTA/rfJn3759qW3sb731Vq7yBwDmzp2LH/3oRwCA5557DqOjo4YyEwRBEARRnJALGEEQBEEQRA740pe+ZOt6xhi6u7sxPDysCvw8c+ZMbNq0CR9++GHGPa+++mrqmgsvvNBWfkuWLEEikYDf78enP/1pw2tPOeUUAEAsFsO6detw6qmn2sqLIAiCIIjCQwoggiAIgiAIl6mtrcW8efMsXbtkyRI88MADeOeddzA8PKx7XX9/v+r/eDyOzZs3AwBOPPFEeDz2DLvXrVsHQFLqTJs2zfJ93d3dtvIhCIIgCKI4IAUQQRAEQRCEy0ycONH0GsYYrr/+ejz88MOW0hwbG1P939/fD1EUAcBwhzA9tLuTWYVcwAiCIAiiNCEFEEEQBEEQhMtYscZ5+OGHU8qfww8/HNdccw2OO+44zJgxA9XV1fB6vQCAb3/723jiiSfAmLv7diQSCQDAhAkTUq5kVpg5c6archAEQRAEkR9IAUQQBEEQBFEAHnroIQDA/Pnz8dprr6Gqqop7XTAY5B6fNGkSPB4PRFFEV1eX7fynTJkCAAiFQth///1RWVlpOw2CIAiCIEoH2gWMIAiCIAiiAGzduhUAcN555+kqfxhj2LBhA/ec3+/HwoULAQDvvfdeyh3MKvLuYqIoYvXq1bbuJQiCIAii9CAFEEEQBEEQRAGIx+MAjGPqvPTSS+js7NQ9/6lPfQoA0NHRgeeee85W/ueddx4EQQAA3HPPPbbuJQiCIAii9CAFEEEQBEEQRAGYP38+AGkr94GBgYzzu3fvxk033WSYxtVXX43a2loAwE033aRrLQQAra2tqv8POOAAXHTRRQCAV155BX/4wx8M8+rq6kq5rREEQRAEUXpQDCCCIAiCIIgC8JWvfAU///nP0dHRgU9+8pP4/ve/j4ULFyIcDmP58uW49957EY1GceSRR+oqdqZNm4Y77rgD3/rWt9Df349zzjkHX/va13DOOedg+vTpCIfD2L59O9544w28/PLL6OnpUd1/++23Y926dWhubsbvfvc7vPbaa7j00kuxcOFCBAIBBINBbNmyBW+++SaWLVuGQw89FJdffnk+iocgCIIgCJchBRBBEARBEEQB+M53vpNSrOzcuRPXXXed6nxVVRX+9re/YcmSJYaWPV/4whcAADfccANGRkZw//334/7777ckQ319PZYsWYIrr7wSy5cvx5o1a7BmzRrd6+vq6iylSxAEQRBE8UEKIIIgCIIgiALg9/vx5JNP4v7778fjjz+Obdu2gTGGGTNm4Mwzz8R3vvMdHHjggViyZIlpWl/4whdw5pln4h//+AeWLl2K5uZmDA0NoaamBvPnz8cpp5ySUhRpaWhowOLFi7F06VI89dRTWL16Nbq7uxEOhzFhwgTMnTsXxx57LM455xycddZZbhcDQRAEQRB5QggGg6zQQhAEQRAEQRAEQRAEQRC5g4JAEwRBEARBEARBEARBjHNIAUQQBEEQBEEQBEEQBDHOIQUQQRAEQRAEQRAEQRDEOIcUQARBEARBEARBEARBEOMcUgARBEEQBEEQBEEQBEGMc0gBRBAEQRAEQRAEQRAEMc4hBRBBEARBEARBEARBEMQ4hxRABEEQBEEQBEEQBEEQ4xxSABEEQRAEQRAEQRAEQYxzSAFEZE04HEZzczPC4XChRSGIvEB1nihHqN4T5QjVe6IcoXpPlCPlUu9JAUS4QiKRKLQIBJFXqM4T5QjVe6IcoXpPlCNU74lypBzqPSmACIIgCIIgCIIgCIIgxjmkACIIgiAIgiAIgiAIghjnkAKIIAiCIAiCIAiCIAhinEMKIIIgCIIgCIIgCIIgiHEOKYAIgiAIgiAIgiAIgiDGOaQAIgiCIAiCIAiCIAiCGOeQAoggCIIgCIIgCIIgCGKcQwoggiAIgiAIgiAIgiCIcQ4pgAiCIAiiyBmOibhvcwhxkRVaFIIgCIIgCKJEIQUQQRAEQRQ5D20fxY9WDeK97mihRSEIgiAIgiBKFFIAEQRBEESR0xdOAAASYoEFIQiCIAiCIEoWUgARBEEQRJETTyp+fNRrEwRBEARBEA6hoSRBEARBFDl7huMAAJ9QYEEIgiAIgiCIkoUUQARBEARR5CzeGwYA+DykASIIgiAIgiCcQQoggiAIgigRSP9DEARBEARBOIUUQARBEARBEARBEARBEOMcUgARBEEQRBHDGFP8XUBBCIIgCIIgiJKGFEAEQRAEUcTsGooXWgSCIAiCIAhiHEAKIIIgCIIoYiKJ9N9kAEQQBEEQBEE4hRRABEEQBFHExJUuYAWUgyAIgiAIgihtSAFEEARBEEVMQkz/TTGACIIgCIIgCKeQAoggCIIgipg4aX0IgiAIgiAIFyAFEEEQBEEUMTGFBdBfPhyGSAohgiAIgiAIwgGkACIIgiCIIiauUAC9sDeM/3ZECycMQRAEQRAEUbKQAoggsmB7MIbLlvUhIdKKPEEQuSGhsfjR/k8QBEEQBEEQViAFEEFkwS/XDOGFvWH0RUTziwmCIBwQp+aFIAiCIAiCcAFSABGEC9CCPEEQuSKmsTB8cW+4QJIQBEEQBEEQpQwpgAgiCwRB+k36H4IgckVc08A8t2e0MIIQBEEQBEEQJQ0pgAgiC5L6H1IAEQSRM57drVb4eGXNM0EQBEEQBEHYgBRABOGQF/eO4aV95IpBEERuCXjVCh8P6X8IgiAIgiAIB5ACiCAcctmy/kKLQBBEGcAANFalu2vS/xAEQRAEQRBOIAUQQThE6fZFQaAJgsglgs7fBEEQBEEQBGEVUgARhAuQ/ocgiJzB0gHnAfXfBEEQBEEQBGEVUgARhAswMgEiCCJHMAAehd2Ph2yACIIgCIIgCAeQAoggCIIgihgGsgAiCIIgCIIgsocUQAThAqVi/3PCs124+m0KXk0QpQQjFzCCIAiCIAjCBUgBRBAuIJaIBmj7YBxPNo8VWgyCIGwguYClOWtmZaFEIQiCIAiCIEoYUgARhAuUiP6HIIgSRBti7Igp/sIIQhAEQRAEQZQ0pAAiCBcoFQsggiBKDwYgLhZaCoIgCIIgCKLUIQUQQbgAbQJGEESuYGAQFXaGAu0CRhAEQRAEQTiAFEBEyRBNFK+WpX00UWgRCIIYx5CVIUEQBEEQBJEtpAAiSoI7Nw5j2kPtGC1SP4gfrwoWWgSCIMYpjKkVQB4yACIIgiAIogRpDcWxvjdaaDHKGl+hBSAIKzzVPAoAGI0zVFOtJQiijGBQK4BI/0MQBEEQRCly9DNdiIlA8IpZhRalbCELIKIkEARpylO0sXaKVS6CIEoexqCKAUSUHm+1hzEYLU4LVoIgCILIFzHqCgsOKYCIkkBe8S7WOBhFKhZBEOMABmBGlTf1v0AmQCXFSEzEhUv68OsPhgotCkEQBEEQZQ4pgIiSolgVLcUql9vERIb/7B4rtBgEUVYwALNrvabXEcVJPNlBfNQfK6wgBEEQBEGUPaQAIkqCYrcAKhf+9lEI33irH2t6KHgbQeQLxtRxf4rWFZbgIr8vq5Zbq7sjeGDrSO4EIgiCIAiibCEFEFFSFOu8p1wmZP0RyXF3JFYmD1xAOkcTeL+bFG1Est1TaA/o6xvfXLasHze+G0ScVjwIgiAIgnAZUgARJYE892FFqmkpTqnch2KP5I+zXujGJ1/qKbQYRJFAn17pYrd/6BqTFO350P+MxRn+uH4ICVI2EQRBEERZQAogoiRIuYAVVAoiDU0Wck37KNV2QkL7tRWpHpzQwenCRT50Mv/cEsL/rRvG623hnKT/qzWDeHg7ubMRBEEQaop1Ub8cIAWQizDGsHjxYlxwwQU46KCDMGPGDBx33HG44YYbsGfPnkKLNy4o1raiSMUiCGI8wJg6BlDBBCGc4PR9JfLQ4Y0lpDyEHNmY3bkphOtWBnOSNkEQBFG6xGkwUzBIAeQiN998My6//HLs3LkT559/Pq6++mrst99++Ne//oXTTz8dmzdvLrSIJU+xthXFqphSMhonixKCKEUY1O6XrGhbQoKH/Lbsqljy0WJvGYgDAHw0GiQIgihq4iJDNDF++v8tA7QzZqHwFVqA8UJXVxfuvfdeNDU1YcWKFZg4cWLq3N13342f/exnuPvuu3H33XcXUMrSJR0DqLBy6HHR/KpCi2DKzIc7sk6D4pAQRP6hXcBKG6fvKx8uYM/tGQMA+KhxJwiCKGo+9XIP1vTEELxiVqFFcYVV3VEcMaWi0GKUJbTm4xL79u2DKIo46aSTVMofAPjUpz4FAOjt7S2EaOMCeWxarPOe2TXeQouQV4r1PRDEeIQB5AJWwqQsgGwqWfIZl9nrIQ0QQRBEMbOmZ3xZzEyqJDVEoaCSd4n9998fFRUVeO+99zA0NKQ69+qrrwIAzjjjjEKINi5IBYEu0qXvIhXLdXIVJ4IgCH20LmBEaeHcAih/HUstmQC5zt83h1C/qK1oxy1O2D0Ux3DMvnPiic924Uuv0yIoQRCAP6l9mF9HjkiFgkreJSZPnoxf/vKXuPnmm3HCCSfg05/+NOrq6vDhhx9i+fLluOqqq3D11VebphMO52YnjlwSjUZVv3OBPIAKR6IIhxM5y8cp0VisaN5d83ACH3spiHWfm4SGKr6O16ms8YQULyISiaJIHrcg5KPOC5Am/sVSr4jCkUiIEBUWGoVqb/JR78cj4Yg0YWaiaOu9jY5FUJPjdbpTpvnwTnccYiyKcDh3UYdKuR1zWu+fbZZ2PxsbC48bC6ujn+nD8VN9eOGTE80vVrBtMI5tg/GSrgflBrX31ukZE1FXISDgzc93Pl6+o3A0ktN+xwmlWu8DgYCt60kB5CLXXnstZs6cieuvvx4PPPBA6vjJJ5+MSy65BD6feXG3t7cjkSg+BYcVurq6cpZ2LFoJwIuOjg5UDlpfTeuKCOiJCjisLhcNTHXqr77+AbS0xHOQh30ebfUhzirwytZOfHyqsi6l5W1paXGU9tCQH4AfPT09aKGg0jmt8x5UIQHB8bsixg9j4Up4Ywxylz0wEERLS+FW03NZ78cjPREBQBUikYjF71lqq1vb2xDOcXiEcDjZt3Z2oi6UC0sV6VnGQztmt96HI1LZ7mttHUcxlqrxfm/cwfscP/Wg3KD23pzjV1Tj5EkJ/OXQSI5zGh/fUUyUnqOzsxsto8U5lyileu/1ejF//nxb95ACyEVuu+02/OlPf8JPf/pTfPGLX8TEiROxadMm/PSnP8UFF1yAhx56CJ/+9KcN05g5c2aepHWPaDSKrq4uNDY2oqIiN6PVyi2DAOKYNn06miZar7Yff6ofoThD51em5ECqvtRf9ZMmoanJnvY1V0wcHgMwioaGqWiarXwfaXmbmpocpT1hYBTAGBoaGtA0o3wDt+Wjzns8fUiIzt8VMX4I7BxCtV8A+qQVqfr6ejQ15T/wfD7q/XjEN5oAEESgshJNTdMs3CG11dNnzMSM6tzGl6vYJvWt06dPR9OkXAwJpWcp5XbMab2v3CqV7ezZs+EfJxZAQB8EOHmfpV8Pyg1q7+3Qh3cHvHmo36X/He0ckvpDAJjWOA1NU/0FlUdLudR7UgC5xFtvvYVbb70V3/3ud/GDH/wgdfzkk0/G448/jqOOOgo333yzqQLIrglXMVFRUZEz+T2eoWQelQgErDcWobi0opnrcvX5fEXz7rw+KUhchd+vK5NTWX0+aQKay3ddSuSyHOTpApUzIXhC8HrTrkBen/63nQ/o+7dHRdKq1+Px2Cq3isoAAoHcKoA8nmEAgL+iAoFA7ga746G+2K33ctlWVgZQkSfXkHzh9H2Oh3ownljZGcEf1g/jmXOmwKejpCzV9v7drggaAh4cMDF/CoZ8lVMpvg+Zzt60+5rfX4FAoLKA0uhTqvXeKhQE2iVef/11AMDpp5+eca6xsRELFixAc3MzQqFQvkUbF8jBh/O5K4oRTBPUsUjEyhvl9ryFYNwsGBNZk7ENfMEkIZyg7S9yfZ+jvPKWU/lBZUsUK79fN4S3OyIYiRdfLX1i1yie2jXq+P7zXu7FRa/1mV84TkmIDF2jxRdSxKfQPBRfrSsfSAHkEnKwKL2t3vv6+uDxeOD3F5epW6lRLI1FjyZo2Tja5MMQ0knkDw9t+0QkoV3ASpv0NvD2XmI+uhU5j3Lpw/LJeC1baovGD7Lepxjr6LeXD+BbyweySmNfqPgUIPnil2uGcNATnYUWIwOvogEpwmpXNpACyCVOOukkAMA999yDwcFB1bkHHngAbW1tOOGEE1BZWZymbsWO3F4US2Pxfrc6OnwxhTCTO/JcDtKK5T2MZ6hxJmQYY2QBVIbQex4f0HskCCLfLO/IdUBqZ6gsgKhxLBgUA8glLrzwQtx///145513cNxxx+G8887DxIkTsWHDBixfvhxVVVX4v//7v0KLWbLIkx+xSFoLrXKlSMQixhHkAkbIaC2A8ukaRGSP07dFr3l8wKQvuNBiEIQu1NQQ+cKnGMwU0+J5uUEKIJfwer147rnncM899+C5557D008/jWg0imnTpuGLX/wifvjDH+Kggw4qtJgly8Z+KbBxsQyItUO5IhGLGEekrN4Ys+06QowvtNNHam9Ki2Lpt4woARFLllJ4/3ag3mj8QYsK449ifaMe1WJW4eQod0gB5CKVlZX4wQ9+oNoFjMie97oiGE06KhdLW5FhAVQYMbik4k3kIG3SQ+QPuZO85YMh/Oq4iYUVhigo2iDQbjY4mwdiWDiJYtPlEqdtcj77FRqIu49cplS0RLFDdZTIF8rNfKjeFQ4KM0EUPZ2jaSPBYhmkvtOpjgFUbqsnZfa4BUHe+e7OTbRzIAGV9sCtz++FvWM45T/dWN1dnLECiNxDbXnuGW9FTOtA4wdSUo5/im1+klDIU2SilRWkACJKimJpK/7yoXpSXi6NGA388kd/hLyjCQlt8+JWc7NnKA4A6BilupZLnAbmz0e/wjS/CfcZL+ODnYOSK34R7hhOECr+W6QBkN2mbSSBG98JIsz5KIv1MxVVghWrlOMfUgARJYVYpG1FLsQSGcP63qj5hVpZkqNNt921fv3BIG5bPyzl4W7ShAET/KR2I0j5Wso4DgLtqhTFk1e5wFBcruvZsqYnVmgRiBwxXpSUMj98N1hoEfLCP7eE8MC2EWzq1/82i+3VKpebik22coIUQERJwYq0uciFVP/cMoIzX+jBjkF7g650vAl3p4zkilQYZlR7Cy0CUWC0MYBcG6yTVikvpCyAHN6XD8bbBLCYGC9lWyy7sBLuM97ebLEuFrtNOCErmTkWQEX6vSrFKpf3VIyQAogoKYqxPROQG7l2D0vuGcGIs8TdntsVY9mXA1U+mqWXO9I28ILqf6J0cLpwkY8Fj3y16w9tH8lPRkTOIEfR8ct4G98lxtsD6WDF0r/YioLp/E3kF1IAESVFMQ5APEJu5HLqwpWrBpUa6vxyXIO0M9PsGrIAKncyLIBcS9ithAgj7BRzoVZtc61sun5lMKfpFzPj5TOj1frxy3h7tYnx9kAm8LqNYi0CpazFppwqJ0gBRJQUxdhY+DzFKVcuKbfnLQTHN1QAACq99jSBX1vah/pFbbkQiSgQDEylEKbvr7Sw4wI2ogjmmY/XnIpTQ3XKdVIBtsdJ4ZICyJxQTMTVb/djKFqMy5X6jLdXWy51VQ71YPS4xVcU+e3jCD6kACKKHuXEpxi7VK8g5LQRc7oy63YQaCJ3PLx9RNdFwu7bf3FfOHuBkrzZFnY17sOGvijeaHVPvnKBIUcWQNRG5AU770ss0OooDcRzx3gp23KZVGfD83vG8GTzGJ5qHi20KJZIKykLKobrjLfn0cOwCy/SMlC5gBWpjOUAKYCIoqfYzQW9Qm5W+FKa/SJ85iIUqaS5bmUww0UinwOz+kVt+MSL3apjKzsj+Pxrffj3DvcGshe/1odLXu9zLb1yQesCRpQWqcD8Fl6iSgGUE2nU0DbwuWe8lC0FgTYnV5twEPYolxhAMoW2AFrRGcGaHmu7FrM893EEH1IAESVFMTYWgpAbueThg9209fq9k6ZVZCMOUSDyVefX9MTwusI6Z28yCHlP2D27u14X0yo2EiLD+l5rAyAnqF3A+LWiflEb/rh+yHqixdigjkOczkXo9YwPxstclCyArFNq6p/x9mrLJQaQPC4wamPy0f5c8EovPvFij6VrleKQUrlwkAKIKCmK0ZfeJwg5GRhl68I1FlcL5aOvvaSQq3o+dgKS2TkYT/393RVBAKU3kC0Uf/0whDNf6EFrKG5+sU20NcCoRizaRrstFRtpqwBzlAPifHR3qXam+LrWkifdhueWf20bwe4h99sdLeNXfe8eqXhfJdJxpr//8dUAlIsCyIhiLQLaBaw4oCkhUdSIjGEknh52FGNj4c2RBZCMbQug5O9rVwy4LQpRAPI5LnuvO5JxrETGsQVnXygBAOiLuD9NGooy1YDWNXNverl5wc43rKw9+ezvcpHXeJtUOiXXxfD9d4K4+LXe3GYCsgCyQqkWUanKrUe5WJZY6cKLrSSKPaxHuUAKIKKo+f36YVybtEQAgP92ZE5QC02uFUB2kWUZjuVOqnxapRD54/k99gM0/3XTMPYM5371udgJ+KTfPWPOFUBbBmJoH0lkHN85FFfFYnJt0ESfcV6wYwGU78FxLmMAUfWSyEc5RDKbDdcpl0m1G5Sabr1QbzYYEXH8s13Y57LlLFmrFW/7SxZAxQEpgIii5oU9Y6r/b98YKpAk+niE3AzUnQ4gErRMNy4oluCsPFP20biIZ5tHMRIT8fM1Q/jJqsH8C1Zk1Pml7jSb7X9P/k83Fj7ZaXqdoQVQoSsMkYHTXcCscsp/urCsrfh218tnXfzXthG81lJcZZDPNjwfLkc0tLBOybiAJWtnofqNd7oi2DEYx1O71GP9bJWNYplpgG58N4j6RW3cc8U2JviCYiOQIhOtrCAFEFHURIrAkfepXaPY0Kcf3NWT623gLSYeSTAsaQnrWv64OR4ptg5lPGO3rL2poID2X9KcWm/GMV69WbRtFN98ewBre2MAgM6xPCw/Fzl1/vyN+O26gO0eitPqfQGx8y06cQHbPBDHLR/YCP7NIRfVI59zsO+/E8QX3yjOHQbz8el5SAFUFJRqM1soseV6q9y169nmUUx+sN1yGi/vG8Pb7WrlbxFMHfKC/NlvDUoWVHduHE4pgkqhLpaCjOMVUgARRQ1vMT3fFi7fWj6AMxbzo9vf97FJiIkMH/XHXM/Xznju4e0jaHyoHV96ow8v7eWvgnZn4ZpC5B+nq8dysG8nA6BD6n2WrusclRQ+cqDxElnszClCkSz5al97fziBo5/pwv/bxLGeLA6Rxz0pF7AcbgOf7U5juYkBlINES5BcFsNwTOrXE3no3ul1WmcoKuKFvWPmF5Y53mSjqGz3Xm21Z8n31aX9+NwStfJXLJPaqu1THt6RuQlEMZdEMcs23iEFEFHU8CyAWjkxMgrF8Q0VYACmBHL3KVlpIJWrv22j/PLZNmjsYx0TGVkJFCF234g8HnDrTfLmrFRN9MlH0dgpf9kicGMfR0lN7zEv2HlfSmshK5ZD8jXZvsqcWABR/QKQ22DY92+RJnx6/b4R63ujhtbNWsrFqiIb5CK6+f0hXLasH3EHH8Ganiie2jVqfuE4QLYAUlk+ulDP8qEQLUYqkgWaEEsjUieNJQsHKYCIoiZS5CNIQQDm1voK3tAqzb8nJF1Rjpnqt5VGw7/acdmyfjfFIlzA8cq+g/uc7jhH5NeYxk4MIDvWJ4T7dCom5pa2gVf8beX7KkbFTyrt3CVdEuQjBlA2SpkzX+jRtW7m4USZUW5ovycn7+cTL/bgW8sH3BHIIvmeiA9ERBzyRAf2Dkvto1PLRz3KRVmp7VP8ycnAYFS5e3LxFkYxyzbeIQUQUdTEOItaxdRcCJAmVjkJAi3HcrFwrfJDnj9BcuP5zH5VtvN8aZ8109tiegfjFqb6ZRkhOSRw7R0ZzFrlzrvUdAvbgzGc/FwXRuPuLxPm5dtwkEmpvaPxwNZgDAc/0YkXddxyeagmQhbeM3PYTnBSyjqFzBSppwBy2ybk02o3XoKvMxxnBVVcJUrExCHfUr7fHUXHqIhnd0uWTkoruWAk+365NErdfQLJIJADEaUlaaGkMaeYZRvvkAKIKGqK3Y9XEHI/sbLSQHoVy/vy5eWyAjLesa0ASgWBdpAX5x6j+l2qnfffNo9gSzCO7UH3tp7NdTtwxOS0RZ/RxNrWK8lC6MV7xvCl13udJ1AGtIakFYyN/Uk3mxyYYaWsTBx+jLm0UiGDEYlctpP59HQpxR1Gpz/cjkuX5i84uLaECjEOC0ZEHPpEJx7hxIPRkm4/ciuTFrkp9HBiAPW5oAAqF7RdyqRkOApWIup3N2RsG0nkJA7reIcUQERRU+yr1m7HW+GlbelaxcVyR/rbtUPYxYn7c9BEa4F+jSjViX8pkSpih4XtRHlq9Q7tdaXmXiSvynpzsHVOLr6Nap+ALx9Qnc7DgTzcd2SQ0K8/GNTdVhYAfrwqiCWtERuSlC926oRdVwi3qlsu6i11ExK5tQDKYeIa9quTxg5nzqzMX6YukM92SjvtLkQsmo7RBNpGE3h0hzqO0NvtYVz9Nt/NP9/qAkHzW1mPZSsWwpyMkuI05MXcDrsh22FPduLU57tdSKm8IAUQUdTwGodiUj7ILmC5xJILmEIG5fWbg5la8boK6lxLCfsuYMn7XPpOjHa3KqJP0Rbyqqyb48xctgOMWd/mWe+92xXvzxs5u4YpkL3nchngthTZMRjDJs1qZCoOk4X77br0ZOsCllPrlDKvGvn4NPJZxPIOkwdMyH4RqVwohAuY7Kqn7ZOueGsATzbzdybLt5Ra2cjmx10YimuupIcbfUQJPGZRQq04UXIU08cum6/mYhJkZ0LpUVkAGctSCp0CkT1OXjPvHisuYKWmUhRzoACSyYUiiIGpypj3Dbu1G1T3WAKvWIgFJpddnAH+UqsAOeT4Z6WVyOAVsxzdr3x/lmIA8W7MMl+3oL5GIl9KNsaYocK+3CiEctqNINDZIsc80q7wF5NTkCybXF3LXVlsBTv1WXlpMRdtMcs23iELIKLkKKZBpZ1AzbbTTv628rzKD1nV8PMmitkIReQNp775uXRL1FKqcaZSLmC5UNbkoExEplaycS0jU7/VZ99sl9wfYhaXWL+zfADffydoep0vqXWOZTFyD0ZELO8Yv25kTvoH2y5gLtW3Ev2US4Jclq1yUmh1EwfneeU0edf5b6f1Le7dohhiAMltsh1lYKFiAMntXT6DmZcqdl2Ci0nhp0ehX3t/OFG2VsykACJKjmJq1AQUh/WDhxMEWvu30bFSRmQMkVLVRFggn64dVoNAy9+gPHgTiuIrsE7aAqg05GbQuHlyLYCk39p3cd8WyZUrGLWmARq1uNWPrDyzqlji8Y23+vHZV8d/IGk7OjKn2yE7bifk3zlRXI7fdtkKuSxbbR4A0DnK2Ta1jNkXci/Iv1MKYdkit8lat2Gjeph3F7Dkb3kxhiyAzOGVkd7Yy64laaEopGgDERHzH+vEA9vMg6WPR0gBRBQ1xT498+TUAsj60ystGcy2EXajMyim/uS6lUGc9FxXocVwhUd3jOBTL/VAZCz72B5WrzOpEEY6klLZ4laLrC/MjbuW+4hMLauRYlf7SHYf0WqZZLPbnMy+4cJP0HIJL8CpGU5dwHLdThRb2qVELhetTp2eDshsq545+HBL7X2OFWDfem2xFsK6QM8FjEe24wznqHf/KrW6pSQbK1g7cHPRUfIxFLfiR6aQ1jehpKb0vx35txQsBigGEFFyFFOblgoCnVOhzBP36CmAOPcWU/m5wb81O12UMr9cM4SesIi32tNuMbZdwGxOzJ1aHAC5VaTkkly4gOWyCBjUCmE7ln3Zfu8iYyoLw1S6nIE7YwzvdUdxcmNp7RKUa/SUczzM2m8lo3ERT+sEdbVLrhSXRG77XK+JYliPbGQqldd603uDec9TWzaFKCvZAkjbbBvJku95uDxmtbJLWrHHtgomt63PwaaiKqy8I15xFvP3WkjZKpON53j2IDCCLICIkqNQCuMHOWaCglAcVkpq64DcF1B5Npe5R+6HfrIqPXC1W9Z266NywMDLyyi9Uu038+WS4VqazLoLmB5O26kP+zN3EgSU7i3pjJe0hnHey71Y0pLbWCSlhp1VTqXblNltt6wZwvUrg5auNaNctoHvGUvkfcCfrzGLLQVQMb6ccYC2WAvjAsa3ABqM6guTdxcwWQGUrIhG/VuxK5Jl+aZX5XZKzXcBUyM3bWaxQIuFQr5bueyixV7BcgQpgAhX+aAnir05Nusv1Kd6Aycwak4D7tpwL1PFAMqDCxiRW0SkFXm2X5dNt0QrK3Ba5DokT1aLQQlqh1yYnefeAsj8GiBz1TfbNsqOZVH3mFSZusbMY5Gc93IPmofHd8wSbdlbWcRWlms4wVLuHDwGIumPlwFY0xNF/aI27LHRB7u1exw/7RwkmiULHu/EFW/15yWvfLjXOJ3oZWUBVITvtVjIcAErgAyy55vXhklK3oNAJ3/LCotIgiEc57dFxb5FvCxfNrEQ79scwo/eCxpew12g02SZUPQXpfCZFlJGOe8y1f+QAohwl7Nf7MGRT+c2HksxfaseQWry8zXA00MVA0h5Ly+9bAUCNRy5Ih0zxLoVgB5WrQ5EGOc1Hi2Ain1AqUR+j2YxgH7zwRD3fju7CSqvT+dvfL3ytB2z/ne7ysfv3qllxueW9OErb/RZuk8A8HbSdXTzAN9qy0i2XFiOFut39kZrfizUmOZ3LvOwm48TmXKlJGCMjZudeDJcwArwWLLSOBe7XGbDoztGsL5Xave18dEWbRvFkU93AgAmV6pHmMU+QU9thpFFef9o1SDu22IcjNhKUH1Z+ZerIts1GMeuwfERu08uznCC4ebVgzjrhW4clayD5QDN44icEhdZyj/WCcW+u5AUAyg3MtpZuVcu9Cgn5TlTABX3ayl5Eiz71WOr95kNroyqtxsDn0KQsgDKhduLxTQTIsPJz3XhNRN3qZT1iOpYZiZ3fRTKuI6XjhlW3yWvfsq7qg1lszXYOCS9W571a2Veb4vwL9QgCMVnkVesc/p8TShTCqAc5qdM2k5Q/mxkcltZ+PU3+zHpwXbsGLSuuCwVCvEJyGNAKwqgfCgpZb67IogzX+gBoFgsUFTErqQFqbYPKnYFUL6Ul1wLIM3/rSOSVS1juXmnxz7bhWOfdW+Rv5B9hJz1u11R3PVRCGt7Y9gzzq2SlZACiMgpN70XxNxHO1xNsxgHlYWWSfkhi4q5F98FLHthS23CXyrI5areyc3e++LtPLQ9GMOwzqRcqaDdbdN9s1R3AbMqdUxMm6WbYfebaBlJYEswji+aWHjwlGxOit3qu8qwALKRhzyo/+UavjVSueFkpzSnX1T7SAL/t25Yla8dyiUGEJA/y8Vcutel80j/Hbehd3VkAcTJ04hQTFS5pAD8gKuL90pK8N+tHXYgVXFRDBZAThaP8i2m3g6Jo3Ex45gVy5dCknIBc2FcHDJYPLFSCi0hSYExGE2n0zWWwM4iVa4WgwtYuUIKICKnvJqDYKDF9NF6HASBvuejEOoXtbkuh4xyopcrCyAiNzjZNloPZRInPNeNr3IUDSMxEYc9lV7N2RdKoD+sXgF5YW/mNyyn7SR+UDFgdWJ2zks9mP5we05ksNpuyDJ6OMe46eokbLVO2XYBU5x3OqDQU06OF3hWXHqYvafmoTg3MPdQLH2jxyCn1hBfyZuLfqFYJ275kirfFkBG8aIy7stDIRz9dBe+u2JAdeyJXeNn104e2gUbsQAjLieKn3y74Mn91Jaguj26bkWQU4bFjR0LTzO+bLAgZBQEeka1uvf931WDqW/8wiW9OO7Zbhekc59CWncVafeUN0gBROQU5ccdFxnqF7Vh8Z7stq0t5EcrMqbS0KdWeG2kce/mUMax97ujGX61dtL2KTRAZi5gboxHyr3h5DEUFfGf3S5tyaww37Vb1HoxX9b3ZU4aRzjWLaOaY8s79F1QSjYGkEW51/VaXzWzO/iz62ol6AR6tyqH41hSJukpzzt1DV1hUMfc5LGdo3i3Kz95AfbjLwHmSpNjnunCac8bD+b16ta63igOe6pLHQNHfo8lbAFUtPFjHFhiZEPMRkaOLIBsPk9PWMQTu9R9olETMR4tiwtRNZ1MqvNvAcR/2VuDmX1u8buASb95T3TTu0F8fkmv5bRWdevHxjOqS9oyUs5TOkalv83czQtBPnYt1s+7vCEFEJFTlBPEseQ/D3C2U7eDk4/WrRXmX64ZwuxH0i5tlR4BgpB9J//Jl3qy8qudogiap1IAlWEL1zwUx6o8TvJk/ue9IL7xVj+GotnXNVVgZodpWLmPN7C66u2BzIM6lKoL2BsW46roEY5LymyecsxqiVjtfN1aXeS9a56Fgjamma4CiHPGm6cZ3LZgLMNSzQrX/HcA571sfTBuFz3ljVxWVorHTuuh9270spF3B9umWGzI5Recy4nbV97ow82rBwEAz7ikeHcbp0p8W3koEo/Z0MhnM/EyuvOZ5lFcv1K/D6k0CEwzHvQ/GS5gBZTBTnnmuyvXWyzg9SHFPsyQ2zneM/1j6wjebHdnPKothrjI8FpSmc+rd9pj923JXHwuJAIKHAOo2CtWjiEFEJFTsh0AujWfcMtV5aW96oGm32N/0GJ3Nx4r16stgHLvAlbMzeZFr/Xi3BxO8vToD0uVzI1JT4LxJ+dW0LMc49VTnqzvdUexoc/aDk3FvjKXK/qScZMe2Opcme2x0Lit6YmmXcBMdgGT0aY6GJWuNnJFMJoMmlmkqJVHhpca5G+PE5/rxide7HGWWQ757Vp17CN50cPO80UNJvFWN1Qws8TinS61T/mVlnAq8PnWYHHuSpMP9xplyhbDlUn35chK5Mq3B/DQdn03rwqDyjkuLIA0hVSIPrIUJrZ6rzoUy+ypitWVVEaWONfVt2NUvehxdzJwMWCtnhkFBbdSxm7XK4/grN/ZMxy3HJvRiOKuVbmHFEBETslFw+3IdFnz//KOCP7n3WDW6cir5YVuSJTtulkAYTdkzbfrD2MM+3RiV2iRo/gHIyLOXNyNztH8RvV3YxCreod280/WBu2rH+L4B+hZ8Jyx2NrkulRdwGScNk/pHfo435fFRM0m6cvawvjEiz14tWUslee9p09CtU+wVSeCUX3FJE/JbDUGEM+6IZ+7AzYX4W4dL+9Lm9gnRIYvv9EPwN4kcMzgo+oes/bMTtwAc/Ep52veVqx6g2x3crSUhyL1mJ0YQNnkmcXNFV7r176yb8wwKG4pUEgLoGLunvXGSX6PkFG/9JpEpgnJUCjc3A3V6HG0n3fPmKh7jldkRjsWH/ZkJ+7cmN8g7B6H3hNHPd1laGVolWL+PvIBKYCInJKLptmJFlqriPryG334Zxar90dP9eMrB1QDSJoxOmhKzJ7jxaS1kZWUle26mfLAjUH579bmd5efp5rHcMRTXba2iV3aFsb6vhieLVL3ACPccK2ykkK2q5PywKxYJ2C5gre7k93Bn5myRFZcXvHWQOr6rxxQjfkTfIYvVytHtU86YPSule209n6923hV1OmAosgXeC2jLON2heJZ68b30t4x3V1ZIgY6Hm18Lj306iLPNcSppaEVnLYvkQTDy/tKr91WEhdZytXObtnamdQq0671W/8CnS2kZV9JDC2AFH8PRUV8ZWk/frJq0HFe588JOL7XKZnWK3kXISPukhXyLaZeLfB6rJfhP7aMqEIyuIFVK0sl6fY9tyMh7TxGtTOoptR428AbhcJoHxXxhw3GCiC364hTCyDAOFaSVcbLuMMppAAickqxBJbMhUmpHHbH7sSvdUQa4T+603g3jI8GrJu1K0XIhwuYdueGXPNRctebLtWKBzN8j0Z+2cWK/DQiU6we23xhaasOCya99pLOyKNUYwDJZPv8vIHpT1YP4iergg5TTuPVVFxB8duO3HL7ZBQD6DVFUGC728Arz3sVI4pvL++3KOH4QVnG3Yq2SluGly7rxxdf5+/2Mmag5AlZVAB1jjpTILiNU4XBH9YP4atL+1Mxi8woRtehd7ucTVC6RhOY/UgHnrK4W5ayhOfXWTevyea9Z1Nl/BY7ZFnZOeBgQi5T689/xdCWjd2yMvr+rSLHprPy9HbGGW0jCdQvanNlF1u9b9YjZFq46tUAt2LryDzTPIq5j3ZgaZu9YMn5GmsaLuJYsAAyq1uMSQvPc//djtF4Zqm73Vd4IDhWkLphXFDao9fsIQUQkVOsBiTuGE2odyZxGW3eThsd5QTdKH0rbEoqNVZ0GndiVtJWdqbKMo9wbGftiMoYw+/XDaHHoutBrlGWxXkv92LKg/pbdMsdRL6HgFkNrDmDMafJmd3327VD+M0Hziy55PqWsgAqwglYLkm7gGUyGGW4d7O5daFZPdF2znIZmymA9F4Fb8BUkQwK8EFPNOVTb9sFTHFeuf24nVXoYhuI7QvFcdeHwyolKmMMzzSPGm61rVR4KFdbeS4Cei5svDZbZkTjxql35S/X2LeayMU7WNLqbILWmVSeGZVF6trRBDpGiqN/UiJb3gH2yrY7GUvuHQcbGdhxyXW0kCb3Tw7ulTFyAVO2PeHkwwR8pd252LVYv3+re4F6bY31LFzzYb91C2yneGB9vO72uEOOsaNU3luhUGNN5RhBW2aMc+xTTeYWcY/sGEUwyjAczX2vnI0FULbKqD4Hm0iMN0gBROQUpYWG0ff6mVd6cYliRVRkDIc92ck1eXfy4Ws7kGzNckVmfUKmh7xa0GvS2VhJW20BlP67eSi7Rq51JIHfrx/G/2rMsH98VF1W6dqF19Gv6o4alo1cT0rRAoiBP8F2kpYef9ow7Hj3HNnUWSy8+31WOI4BlKxTyhU1t82/tfVWDhptd9CbtlbKfFj53K6hBKY/3M4NrKhXRIxzXiuzUUDjYua3Hwzh5veHsC+Ubj9XdkVx5dsDuN/AdXivQqkzrFDWbB6wPnEyUnoYKZ+U6FlZyHfnS2H7s9XO3HeMtlXWcvATnXh4hzVrmXyi9MaSn+eDnqjpjqR2Nn/QXmdvccfGxS5iddIhfwdGLmNmFKLrz3ax0U2XMTvv2Mql4Ty05zylQL6DQNuJpQWk5ct1u9qlmSuoXcDU8IrMyi6dRotbbr8Fp3MnILv26+V9Y9j/sU5sL9LNA/IFKYCInKL8Ro0+WG2g3piYdpVyWw4g++C1StcXp22+BwLiIsN6izsuGaEXBDrAWW2z03DKaWn7w6mB4m865E7ZbPw4Ghfx2M5RJArgrM8Yw+XLMl1BVJZzNrtII5cft9mUnNiWkI7NMaNxMeWSIj/vsixM0M1ej9Fgzegb1iqiFkz0AQCOnlphKkM4wSzHAOKh3WWkWLfnNqM/6XainAjI1jeDUf4EPhQTVbswhRQKoCnJ9tKKktBQqW16t0naBooVbZ362epBvGNinWpENm4i+VZU5QLlLn/y85z9Yg+uenvA8D67j6x8bW7tdmqWV87m44qHlxVAAaOti4oQp0XTNpJA+0giw/U3G+xUByu7KrqpANKrQ3wFEP9at2uGLJPd7yi12OiuOBl86Q2+2zBgzSvB7O0xMEfjR6e7gwmC83uNdjU1Y32fNG5tGSEFEEHkBbe6Dkemyy6kAahddJSDeSdtmEcAntw1ijs3GZv8WlIA6PSEvICibgRyLNTqoVG22h1y5D7cYzJM+PeOUVzz3wG850JQOcBa3dozHEdrKI5glGHx3rTro/xuRMYytvx0LE8OXpZcoktacue2mQ/sfAuXL+vHUU93AeBPTLWHdg0aDy7MctbOA9QxgKzLLSuATp9emSlDxmo1s+4ClmoL0xdoZba6cltsdkLyJIxnrKEnq3ZypLTWsTNRyXdZ6OV390chfEEnTlG+KOUQY8pvQfkYZu2CXVQKIBsF5kbRruuN2raWMEL5nchjFxtxrYsSq6Vz6JOdWPhkp+FW3bbz1m27nb0zN7beNoO3M1S2ub7XFbHkTipfErdZPqlPwODdbRmIuf7t84L5p//nWPNm2T6YWQPbJRsLIDeanVLuX9ygxJtWothRmScbfG12VvqycQEbjom2Vib1ZFb2JU5XKT1C9i5aKRl0jnNjAJVgo2eliA98vFP1v9XAfL3JmAtuBF8ErHWyRz3dhcOe6tKdICdY2n3GrlRaF4J8WALZXrUuwUr4niKoq5XnPfbZrqzyy3QBS+bNGSAbYRS3Q6vfEGE9CDTjnPc4bAyLrTrIsWOjDpU4AL/csp3bWS0ms7hNvGO8CYObk3s7yO1DiXoQAtBMzhxYdDp517ZiADn46JRtSTAi4uMv9ODXOnHk9NI3ylVtySxdmY1BjNG2105gjOFPG4YNJ/JWrVf0cFMB9IrOAo3TzyqaRXtw9dvWNgXgKQWcWADJAdFnVXvxqZd7LcVFSymAbFoAWYkBdPJ/urMeE2hRx/5UFxJDdv2qyBge3j6imkOYLQbZJgsNkCsKoOyTKGlIAUTkDTsfm/umnVLubTbdyvRkTjBm6H9rBcnU1fzObBpxnsmuWXJ/2xzCvEfVwZWzcQspFCl3hzxZkKdirdi4R89sV2TpOB7ZxgDKhVdAtu9f3qWk0Di2BOQcs1vPTINAG1oA6WPnW9VO0rg7hdkoJKftRLG1J75k4duZCLilxDJKx608rLiAAXwLqHwgi1IoBZQbqC2ArD+H/A0p73h4+wieaebHOVJeZ8ttw/qlmfcyllIG7NRRhrilvCumGtA+KuK3a4cMlQnZWq/48jBgcWOTCbs82WzNHdgjCBkLY05iAMlteCx5726doPtKZMsfK7HW6he14cfvBQEUbgFDL/QDYM0FjOfOLKe5rjeG61YGcecm463heelaxQPn41M3uoYS7l5cgRRARE5hOn9rybWJvHyP32bnqteZqyyAHMrkQeZ2lzysiKzXAUU4LZxZnr/+YAgDkdy0jO93RzHrYf4Wk4NRESGTGYeToIZWLXuyHXelVtKzGISnlDaMb2HB4/NLenHsM2nrp9QEQscC6Kb3gllv46qd0Nhdaf3cksK6luQCu4NAs8t1LYAs3Gs1H95Ka+ar1FnJZ5ln8zkQzuXmQL7kyEipgDCr4kar1inlnZW23MY5N8ubl1Shxse8frbYuG7FAJYZbBetZwFkBi8I9HUrg7jSJHYQkHsXMDv36L07u0rhYrIOlBURfTa2pn/Vppu0Nw+zsmwMNnItA69/c8U420JFSnD6NCP+vkXaECBtrZbfeFXKMBRWtoFX0jmawH7/7sCTu9KKZYb0O5Ytf5S7gf1XJyac4/pk05pZSTYxgIwCXZcTpAAi8oZrK6QO7omLwLK2sO3ONcNFgjOod6w5sNj4WQlIpzfYcuICZmcQaZf7t4YwEmfoGMl8qHNf6sHnXu3l3uekiNuTMXR+rNnBTI9C1E+9VRumOGeW3pvtEexSuBKmOzfGzeMfW8y3KFfy2f0ytw4dLysnTq1bcvGJBDWTCm3AYGX+W2zsKmX0rng71th2ATNYTc5FOcmrs5U5Cg57ynNdeDq5Ws2L9+xkd6ZigavksTnpySd2XTEA5C2Y/8M7RvH9d4KWrs1X2doL3Oo8Hyu3yuMIO1+pciHBjTJzu4XQ2xRDifbUnzboW1CE4yyj3ec1az1jCVfdprOZsOcanlKgNWQ/VILe4poRctthe+e25G8B0pi7flEbFu+xvgHC9qD1/lyF4n3wFEDahbqxOMMHPZIre3vSG+L9Hn7sS14R6HlQOK2agsVFcB4UAyh7SAFE5BTlByZ/sNw+RHNwba9+QF4nH+09m0O46LU+W9vx8vJSBoF2IpPSlNUjAC/vM18dunSZue+0XmPopJGMWuhrnbabRvdtDcbxQa/DjpCD1bFKrnaSsILR+5EH0FbT05rzplfRs+vlDqz3ZxzTJlla+7TkBvsuYOpC1Lq7aJOTFUJDMYb6Cv2uW88NizeBsDJIdhJvKJfISu1cBYfdrNgalhfIWVchZrACayvGndE5q8onGy20G5sCuM3epLuGExewsTyaDQ3p7AinhSfRbeuHUL+oDS/szW6nPLlOeAWbMYCc5GXjWlkWrSWjUR3muibayDPXyLIYuSTZUdRcuKQXcx/tUB3T7v4YjIhY8Hgn7rO5cJMLrOxiaBW9YuJZAOm19Vba1ZRrvpXFVlnBZ36pitTcRgBGk+ZKD223/r6c7nhsGASa87x3bArh7Bd7MBQVU94BlZoP1GgXMDux5ayQTRBoN8YaBfJwLhpIAZQDXnjhBVx44YWYN28eGhsbccQRR+DKK69Ea2troUXLKWZ+ukzz24h/7+D7u0v32//yu5LWIMqtea2gvVo2O2SwHpNDdb/iQgHANpd2BdCb5FvxA7Z73goPbR/BD98N6srjfCWpmIaDapzEADJ6GrmuyFtWmnHJa5L1VNeYJMH9W6UBiJXdL4zgudq49RYGoyJ+v27IkY+/G+RCkek0De3/2m9EHqcdmNzVS48MCx5bFkAsI2N9CyBmeN7snJI6v/UGQU4zH6vRdmLgZL5P9+u0W2nyyq6YVkPlrb+duH7YCeYfjIh4LUc7GSqlUG+GIf2+dZ1kGXLtigHVfbwYQMb5SFf6PHaDQFu/NjNP/t9KZMtlO0GceVaWRVQtXZeJt/Oo1gJIXtjRs9RwgnOLjdwzty6zf8umvHnzjj3DcVzwSg8+7FePreQdee2WD2/DEV78Tbcx6gMZ9Mttzr878PB2aY5V4dWkmfzNG5NZXfywSlYuYC4UbyluRuImpAByEcYYbrjhBlx22WXYu3cvLr74YlxzzTU4+eSTsWrVKrS0tBRaxJzy9eWZpq5WBgo8KhyY9/9+3ZCpC5HdNlnbyPDccpzGL3KrMx2Lq7cS18sPAKZVeRzFD3l2t3qV0qzdvH5lUKWAeK9L7Tts99nzMfBwqyuwZwGkvtjp9wIA7/eoBzPrk9ZUt280D+JnBNcqRPO/08n4H9YP4/frh7HBopKrUPSMJUx3w8h2LGF2vxOFM0yuzVBws8xvzd5Ay1kh1DpQAOUDK8FA9VC+T3U8GJOFEkPrAsfiqOTgKSSKCTkGkxN3rmEbizzXrhjAF9/oy/lEwCh1rYu33fgUsug+TvBcpzKZ5QVOO6ElmFRcaN34zPJd0hLGbeuHXAlA/uhO/YVEJzhxAbNLT5hvyet2/B3GWPLH+n1uKt31st1/gs+yTEbiaGMgKtPc1B/Dis4olurE8LK7IKX0bog7cCNzWqxG95nlL38bHkUqyvUftxYyjZA2wnGGG9Y7Rdj15RXjpUTCFn/729/w4IMP4qqrrsJtt90Gr1etWo3H3bH2KFZebzeexNkx/TUy79dL5/frzSe6GVslMmYYwFZ7fULZmah2+bCGygLIpc70N2sNdqTQ/O8Bv/xWdeVuV6afvz+I+7aMYO+lM3K+eq8cyFt9J27JwltpMsNo54ZsVzjkHS16xrLrKrliaA6+1e6s/mSzrawbWM19weOd5hdlmXfGt6qpl3I9FWwOmuRvgncPL26A5RhAPCWYDbnM0nLj2mx5YNsIntszhn+eMdnUMoOnTJORXScEZPddm9UZM3jKBSftVi65c+MwlrZJ7YkTC6BRGzd1j0mWwSJztv224QRU528tAZ2Mrbv7SXjtWgBp/h+Kipj/aAdev6ABR0+tML1HTzEhK6jl9zCtyvo6swDgW2/3YyjG8IcTPXxBC4heXD0lv0tadjXVetHiIHZNPmJYMQZMerAdtxw3wVbx5mshLqOdy6JIeIu2huEoYF+5INeLtb2x1Dfoltuv7j2mHhcMjDl/Y3YWuexapnoF4I8n1eO29c6tv7NZnLHjFjieIQsglxgbG8Ntt92GuXPn4ve//32G8gcAfL7y07epG13pPytNkpHZcDbfrJ5Fjx7a1avecGbXIAiw3EPprQpng9GOXemYRcmy18m02cIWmap0bVy7Z1hSfGbTYFulGNpzO6vJRhO6bN2i5BXUrHc344jhtu90oWIIOS1i3m3Z1j3t/doy8SiO21GmG8llpLRIXaM76DM+bwe9JJZ3RLKOkZINS9siqYDQV71tHIvNagwgs+Ky876cXmdVOeGEK9/qz7D4tMOvPhhK/e0kBpCdO+StomWd0dPNo1ips9NNNjj5RuzeYjsGkOba5qE44gx4xMD93ops2l0otQou+d4dgzGuskO24LK7I5OSkZiIn6wKOrjTGKsbMwDOJ1deOz5zDpHl11p2m5EPCyCeVZLetcYuUHI90lfa6d1u9L3WL2rDw5r4Psq08zHOBaQyMZwn2WoLMi/mLQzYWQyS+cwrPbh6ubrvlBeasokBZDH8GhfZWMANK8NShhRALrFs2TIEg0Gcf/75SCQSWLx4Me644w488MADaG5uLrR4RcFjBua4tuJWOMh7U9LFRKvQMfv+9SbhjKldMqyi3LrQrb7USjrK1bpCmvw7zVpeQc+l6G65V9gynTXIUzmOeKvdfpwKefKUbT3jKjvcehHFoLFzCburYHYDyTu2AFL8PRCRYi6lrII0mYqM6QaRtpK+mwo1APjsq724bFnm4LEQaBXt+0JxbDPYvYUnpyA4W3UUU+/L2vULJmYGbpfz10tHL+mRmIioDc3CM7vH8L0VQcvXG+FkFzA7Cnh5AiVP2q56ewDnv8J3I+dhdUKc034r+dvLcQF7qz2sWx7ao3JZGFmgWFF8ezTHeWU0FBVx/LPd+ANnhywnLihaHto+ins3ux80WZbJShVzqsdR3jf9obbUoqO7LmDZ18hcuU0yOJcvzLH+48VtSomuU6hmde/OTep6q1IAMcOkXcXMAtFJKcpjbb0dv/Ty0uO/nVE8uSszhIQgZBcDyA2cLDCMJ0gB5BLr168HAHi9Xpx66qm4/PLLccstt+DGG2/Ecccdh5tvvrmwAhYI5cd9z+ZkgDUr91lM0yqyhcv/M2i4eehZk7eNqhtHyyuziguNXM/sYBYITolHEFzp/O3AE29FZwQXLbE+0LaKEwsrtztqezGANPcq/lbOubYF7buPypOnbJ+Pt42tW3XIaJJgxNvtEWx1unUqJ3837rPbLmkv1/6f6VohpH5bWYHXJswA3LJmEL9fP4ztyeDz2nT428AbTyBV8WQM5DLCiQvYQETabneNi8FR7eR/xFNdOPG57vRxneu0KL/59bzdLjn32bWG+PzcKu5xrguYSaKzHunA+a/0WMxZTt+d9sHJDoZ27pB3XMpFvFancZbsipKOAaSuW+90RnDhkj5dix7tBF4uCyuKFwb9Z0rvIqS/ACEHyNUG4WWK61NKTwvyaMmVEU0qroyFa7W7eVlFeVc4gdS23W4OVJy22UoRsp07G1mWmvWNaXnUhTLK0RgPJS3KlMpRuX3SdQGz+WzK683cy9zCrE2x+giheHpZWvn93cYJqeH23MGuBdD73VHUL2pzLf98WWsVK+Xnk5Qjenulyezdd9+NI488EsuWLcOBBx6IjRs34oYbbsBdd92FefPm4corrzRMJxzOzY4UuSQazRzEys/BlP8n/0kkRN3nlI/H4vra52g0inBY/8M1KsO9Gp/ssXAYO0ZEHDAh02UPAEbG9OWIxeMIh8NgooiEyCy9uzFFgMpEPHMCa1YuPBIGZZVIJBAOh1OrerJ5rTa9eIwvSyTCTzsWi1l63k3dI6mJejgSQTwp6w/eCSIm8p+LdyyekCas0rvXz29McTKmiLllJKscmysWy0w7ITIs2hnGNw4IpNwFZDmUv6VrpcFHOBJB2G9NYROOqN0NlIMUOT0ACEWslbfymmhCxNqOUHoACeftSzgcRutIApEEsP8Eb+o96uVtNU35HUUjUYQ57pV6fG5JHwCg8ytTbOWpJRKJIBy25/4YDocRUcgqP3c0lvnO5XP/2DaGIyf7cEJD2jJD+W2Fw2GVHOFwGLGYul2V6ieDKCYgJvTbG8bU5+KJ5JbasRgiyfcmP7dW5nAkAlFUl0c0GkM4LCT/Ttd7uao+vXMIu4ZF/OWkWkQ0fYF0r3m9iNho0yMa2+/X9oZwWF21aR566dm9Pp5s97XntPUoqmhT+5LnxEQCo4p7H9s+jINra1T3xTixAkfGwgh4BUSj6TS39Y7ounBEddrnWFKmuOK83OYYvav3e6y9RxlRZ2Btt9xHLbZ7SiIW25JwOAwPk64bGQujQvSozinhtfcAAE5fmpIjmn6PyjGLyLTfrvr/cCTpMh1PZKTNy0uuZ14BiMSkurljKIH/t1GygOkYjiIczhzfhCPa9ibZD3LylUnVn3gi1XcxUX29XIqRiFRW2vYoEokikvwe5PGJTDyeSE1Aoyl54rbrAEvot8WA5Mo/qUKw7W4lvxujMaxPkBYOGcvsI3TTVZwfDqvHYvHkOFFM6L8Xq2mnjqXenahSJJjV+7hizDoWDqvGRHZlUrZlSmKxeIYVmt64L5FQt7mRSAThZA3UtkEJMf3OIsm8xXgcz+8cwkBUxJfnB1QyGJW1UnkaDocRVrQLI+FIMn9+HeF+w5p2xdJcIhxGwiCuLGPWrLT+tnkEPz+8MvV/QtP/K/u7WIw/pg7HGPe4EuVxBqkPEmDv+35M43pnpX00YizKLz/d9r7ICQQC5hcpIAWQS4jJyVpFRQX+/e9/Y8aMGQCAU045BQ8++CBOO+003HXXXaYKoPb29oxGrRRJ73hWnfo/IVYBEDAWDqOlRR24mCXPyfcND/sB8M3Yu7q78d8BhrnV2sYtnZf2mMyJ9QmsCqYHQ09v6sD/bKnE3YeFcUJ95qCxIywA4K+mDodCaGkZwOhYBaKikPFMPELxtEw9A0PQPqOe7EY7yI2OVkDvUx4bk8pasmSqBktIfv7a9Pr7vQAqVcdaWlrQrvP8wWAQLS1GFjyS7Ke/FEwdaWtrS8kq+97ynpf3rENDUn3o7u5BS8pxN3PS19LSmjo+OJguX6PyCw76AFSgp6cHLZotWZb2enHz1kqEBwfwuemZ32VXV1fq73C4EoAX7R0d8ATMOl5JxvaODijLVxr4SIOqcDQGeTjd029U3tp6Iv0ficVx1qvqOqk8b4eWlhYcv0K67/3TRjEcyqxz1nY5VMsaCknvtaurE/UjdlZj9OuKnfs7OztRO2yUL6+OtaA7kv4uZBkGBqR6pL0WAH6+Nl12Mspvq6WlBZ2a/3uCHgDpDr23uxstURGjoxUYi0ntzbmrqjC9UsS/joqkZI3H46pyGUl+c/39/QiFvAB86OzsRNUQw+Cgup1t7+jE2Jgfynfb3dOLFs2gsKurC2Kyzb51o6SEuGnWAHoG1DL3D/SjpUWvP0uXbVdXN1oivEl75nseUrShADA4OIiWlj6dPMzTU/J8Z2Y7mL5eundoaCiZnzqtTk1bORAMQq4P8jpCPDyKltZg6t5QaBgtLWoXt2Awsx7ta2lFlRfoU7TTd6/tgV4f2T8wgJaWzMFtX590/4Ci/Y7HAwA86OvrQ4tP+a7Udf/eNe2YV81waJ2ZcqU6qcTKNDC320b09PahxWtef5R0dnVikqYtGYwBaa+49HuLRqQ2e19rG0IV6nM85PaeJftTURR1r+0cSdeHrp5uvD/MAFQpvk8pL20aHcn7RkZG0NIykCGzlt7kO2WJOAaHImhp6cf571VhKC71I4OD/L6jQ9PedI9K/w+HlPmqkevm6Ogo2toGAVRhdGxMM/aR2oWOrk7u8/Z0d6M2JAKoVtyb/B5GRgB4AQip7yeUHGeZ8XK3Fw0VDMfXixgM8sczgGTtddLKanyzKYZr9rNnRdoeksooGovpvneWfP644hvQr/fK9yr9/dsNaout4EAQQAVGR0bR0hI0lG80Afxzn7pNPvv5xAABAABJREFU542xWlulcVI0KgctNpZTrvfKceK+llbDzVoyUff9nUPqvkJmcHAIkYgHUj2Q6O7pQQvHumdsTD0OaW9vQyj5r9yuyYTDkdTzdfdKzxEMBvGLdVJbe6q/JyXjYKqN5z9HPKZ+t9196XLZ1doJIIBIJKJ6r8pn16LtN83qi3RNK4aGMvsKGVEUIfUA5kq6fcn6wBjD2OgolGW6rz+U6qP6FWMcpYzKeU2m7Px5Wf9APxIJP4KDEcv9tzxelOHNM60hXT8wNAxeHyrXd+X4vtjxer2YP3++rXtIAeQSEyZMAAAcddRRKeWPzMKFCzF37lw0NzcjGAyivr5eN52ZM2fmUsycEI1GMz6Upqam5F99qf89q/sBMFRWVqKpaZrqevmcfF9NVwgAPxhjMybh22vH8MgZdfjETGXjl85Le0xm5sQqIJjW6oYCkwCMIlI9BU1NmZ2RGEoACHLlqK2tRVNTLWr2DENIsIxn4jEYFQFIg5l/tmQ2PHqyq49r5GjXL6tAVQBNTdOSpo798Pt9SCRYRnqT4xEAoQxZ9J5/Yn09mpr4ijGt7DIzZ85CVccIgHT5z5o9G56UqTTv/SXzGxgFMIaGhgY0zahQXa9k1uzZAKTOSvomx3TTTKU9KKU9taEBTTPVnWldQiqX6omTU/UjJjKs7Q5jZqwXjY2NqKiQ7gnsGgIQw/TpM9BUx7coSyPJPm36dADpwTNTdNY+nx+ANPmpnTARTU3pzn8szhCMiphR7UVmPZH+Zx4vtAa2yvN2UN7X1NSEak6dMyrjNGpZazqldLorpuITnO/PLB1reerfP336dDTVG3WDmWXV1NQE72j6u5BlmDg2BmA041o9eRPDmjRG1P/v9ccApAPiNjZOQ9M0P2r2DSMcEdHUNA39K/rQH/Oq3o/f51PlU7VvGEAUkyZNRk08DiCCGTNmoGmCF3XBUaAlbUXSOH06anrGoPxGp0ydiqbZUh2X2/rGxkZAUJuINzU1YYc3CiB9fNKkydx2VVkmADB12jQ0NfKUGZnlFlS0oQAwcaL62+gZE/HkngiuPYTXPhnXm9+u4H8byvKdMGFCMj91WoLi/Uly1UOuD7Kp+8TaGsyc1ZCSf0JdHZqa1BZAE4Yz69H0mbMwocKjaqcnTKgDdLYxrp80iVvuU1kE2BZCvaL99q4bACIiJk+ZgqYm5aRZXRa37JDOmVvd9SU3vMicsNltIyZNtlZ/lDQ2TkfT5PQ3/XZHFF9aMYxln5qIhZN8UL63muYhYCCGydNnoqnGC736oaz3FRUVSaupfng9Ht1nCgXjkNv2HeIkfG+N9J35Ut+nlJc2jeEB6b7qmmo0NTWqnpWXl1wnKv0+VNdWo6mpBqGV6bKp1+mrWUjd3kSGpP+rqmsU+aqZGJLqZlV1NWbMrJaur6pSXS8IUt5TpzUCGFK0R/LxaZg50QtgQHGvdK66ugYeIQIwoG7CRABjqXGWGb9ckbYKbYiGAaitBeSyiyXHQh+OVaGpabppukoGk+/G6/OjqalB56p0Oyx/A/r1Xrp28vT0uEXLlMmTgOYR1NTovxeZv3w0hofb9PqgdH6zZkn5VVT4pcXBZEgDs3o/NZYu11mzZ6PS1tZ56r6/q1fdv8nUTZwA/0gU8tgHABqmZo7NAKA62bfJzJ41CxMrJMWMd/0AlG2Qct4xKfnNTJ5UD+weTckky1jLaZeVz+HVvNspQrrf+8XOagAiAgE5P3U7xasLu3zqftOsvgDA7KbZqA+NQR7javnsfgG80R4FYuYLa03JcbMgCKiproayTKuq0+1Q/Vj6/StlHFL0yfLxfaEETnghmLpGnDQTlR4B06s9APowZfJk+DrGMGFCjar/1mNNbwxPdqjri9H4yhjp+kBNLXhzp8bGRlW9H6+QAsglFixYAEAajPKQj5uZqNk14SpWtM8RCAQQjCbdkARPxnkpHg5LHfd6w9BTanRGpE6nNZyZDi9vdUbqibk3uTOb3+/n3lehYyIIAB6PD4FAAF7vCLyMWXp3YcF49VQvDaO0fT79nRw8HqmM5GBnsrJFm96EqsxOIhAIoJLj1iLl6bNdVwOBSggedf33Vwbg15gRy+ne81EIn5xdiQUT/fD6pA6poqLCMN99kXST5lHsxGd0j19O25+Zts8vvS+/P/28v18ziDs3jeL1E4EmhTxeTygpYyUCAWtNq8+vXqVUvQVlDAGvury/uqQXy9ojCF4xS3W/8po4y/Swdtq+KO8LBALweMdSpu5O0w4EAvB4pLp789pRfPPQetty+SoqHZuhA4C/ohKBAN+KQo/VAwL2n6AuDwDw+TK/FV47KFOpaFsCgQAqYpr/K9XPVVlRgUCgEj7vKARBndb2kfRKp0cQVOc8XmmA6/f74fUxRVp+eLxqE2dfRSW8XnW76+O0jRUVFUllZboCBAIB+DVjJZ+P365q8fulZ9NDVW6aNtSraYt+tKIPr7SEceXCiXh+zxjOmlWJplr19+ikrurlJ/9doTHHV+76KZeSx+uFvyKgukYri9+faZXgrwwgUOlJtUeAPMHko9c+V/pZxjPIseistumWyo4T/8Qj2C93j8X6o0TqI9IVcVtIKs/WiBfHaN7b1qEgAOCebVHcccok1Tn9tANpFxXNt6aksjL9HveMpr8TQXOP9n9/8j6v12vYfqSuT9YJn9cDIXmP0vtF771q25uqpHuT4OWPqwDA50/L5q+QvlePR8rz5+8PosYnJMcYDNuGPcnz6uerqKhAVbJ/lO+V8Xg9qfg9Hq9PtxyMCAQCqKzItBpL9dPyWMij/5x6+PxSe6l9Z9uDMWzsj+GS+emJrODxQFYSmOWzbUTflKbCL/VPXoP3IuP1ZbYd3DpTWZmSURCZ4bVAut5XVIiQFQAVlQEEfM763kAgAL+ff6/X64MgxKFUAPl1xn0+r1rZVZlsJwFOjE3FvMObtHT0+9N9v7oeGreFyrQDgUCqXwWAfSPSO0/A+vxEq2OwUi8rKwPw++PQUwDNn1gBtMdgJcpOZTI/xgCfT7N4qfhG/X51myGjnNfIx3f3qMf6JyaVQfKY1e/3wyOELX/fa/rN67bd75kJ/IVaWeljNt8odSgItEucfvrpAIDt27dnnIvFYmhubkZNTQ2mTp2ab9GKDitxt4wuSQcJlH6f/nw37tyYGbCMm7cm5WwCqSkDoll1Xsl2a28ehjsBaLLTC7qm3ao1F/Dee0JHHxaMiPjp6kH8z7saV0GTPE57Ph2UVa+ere6OYOqDbQjHGUIxMWlRYJ1dkg8KIiK/zOwEytPuQsALJgiod2bZMRjDsnbzrYp5O/c0PdJuWTYjGNypM9l+Df/Y4v5OL2Ys3jPG3zbV5sNYDXQpY7QL2BOKXTYydvFi/L95mfLaJ/1gxtmXga4gRleaZKL8pr7/ThBfet2+xZsTtGLptSoDClc33hfEezw5GLLVnXfs9Gv52oXFSWtx3cqg7T6T1+elz6lPjiU12Nod3kzz4KRtJIedWKOpHfpsyqINAm0Xox3itJkxlinfXz8M4ffrh1Nl8oN3g1K6mlIySt8jCKnr7ey4pcUoADNvVyiryPdsG1Qrez/+Qg+uenvAcbpWsLJpiOVd6ZR9gg0ZlN9PrjYTYbAeUF+L1Q1R5Lqld7lZdtrzl7+Zab31bpf1+DFO6+L73fp52Huv+ueUbYqdb7Gxiq9eUNYhO0GgcxHY3YJx1LiGFEAuMW/ePJx11llobm7GQw89pDp3xx13YHBwEOeff75qVbBcsTJI0Q76jp3qxz/PkFboUgOV5LlN/TH86oNMU1IreZvJYrgdfXoR0HLDmM3WpnqYbQUJpOXzCAJXVqPt7o3StYM0aFTfabbLS3vSNNlJ26/3bs95qRdxJilyjnumC/d8JCkR3OoL7KSj3WVO+a9Sf6P8+/hnu2HEYZOlVa2TGzNNV4dd6vEYA2bWmLm5GdM1msh6x4xRvW36LOJm/283LdNt3zX/exTHbQ3uNL8BZRuaqRC3ug28lZ2T7E5inaAtR21a3TaCi7sJY0B9hYCD69WWQLdY7KuUyIpy+dlm13ht7f4IABv7ohnt/B0bh9Ga3O6Xd4/T73LPsL04hqGYyN3CGQD+vDHEPa6HBf1F1thNRzWJ0pzT/d4sZiJPqLwewXAL98z7+MetLtDpXWZnoqZN48P+WKo8bl03zL3GClMC+lMbN9samRFF3ZXLT28CbMahk9RzBLk8rRSr1aJ3WgYqJUqWH5Pu7cyGwkd7q8F3tkqhLFEY8HF5chd/5zy76LVpbsAY8EqLvkeJyFHS6qal+a1Oh5+KcqGFd4XWsp93rZ25k0ubJqugbeAJ17j99tvR0NCA66+/Hl/60pdw880347Of/Sx+97vfoampCb/5zW8KLWLB+OnqYOpvrRUOD22jcNH8ahzXIE1oUytEDpaGtJMWs0mMkazyGQEC2kYSqF/Uhs0DxkEFrYpsZyBnpWFMycqxHgCy78ytoJyGySLrlb8b4uilffasyuR5hs4x+5ND3lbKSuyUpVEHpKzfcRt1fXZSMaN1e3ETBsCXZe/xjy0jpitxZhgFoZS/yTd14qQ4RW/yk22dzbBc0Fqw25gIqNK10IbJ2Km7vGsdTyxs3Ki91OxW19s2i20Wg/TOtO8rqhCIawHEOa7dBp6XrpEsPWMJfGxxD26XLWWTF9yxiW85+8LeMW462WAk7+xHOnDq8/yAmx9xTP+N0JPZ6Fn0ZJv5cDsW78l0scjW2s/wWs27tpq2T+D3eVatHFJbnBtkrDylVwZTDZQvgNSX3ftRSJXexApJyk39sayV+gBQYSBCqnwdZKM3WuDNdadX8xdI2kaMlaOnTle7wtpp761eq6rTDtveXA0ZH94xgo2ab971JjyZYERnkNhlMi7Uk6fOL+ATs9LvL5ZD80qzlJ3mrK1DesrrEcViolXLVG0+HgDP7B5D56j5goGRVZ9TOHHFywpSALnIvHnz8Oabb+KrX/0q1q9fj7///e9obm7Gt771LSxbtkwKnFmmyFYWgDMXsICiL31kR9Jiw0ELp23v5Um2Xtti1TRSNgleajLZtDoZmfKvtKvOWTP1Y2MAahPrY6eq45los9P74G23g04GT4qVHbm8zRRwZqv7hvnpXF2T9Fu36fmVwqwfsiNjzEAGp32T0WqOW4iM6a7w2EtH+u20bzf6nvYMS9/k2x367nJOBi6AjgLIrquK1vpGcz7DAkhRSEZuLruG1IMpozLKsIgE4LHossH7djOfyVqZ2Jogm53PaDPMU//NB4NY1WXuVmkHSZGTWZbKMter93pWIcpn06atzUeJbKEgu6+aKTAvW8YPSJsNZm9BW28d52PwIWXUDcNvg2E0zvCXDzOVZEpFnK4cBvkolfvaJBZts+fWKqfk1VEAyfSMJbD/ox3YO8yP6yd/J5YW6Ay+qqOnqi1PtWX0bmcUt2usuoxydNZCG3wbjtKT0Ft05HlD8yRY3xvFoU924jUTyw0eVvpIq/3obevtWyFqyZUFEE/58pNVQdQvarOVppWxuzKv3nAC0xxabckIAKZVpScrMStmsjY4e5bxXECJcrxthpHSWU/pZ6YM1FXEK8Z8giAFi750qbmbdi6iVMTL3AKI/JFcZvbs2bjnnnsKLUZRw/vmMkw5Nf8r443IE3cnbat2kpaNFj01CLSTv41rrd6j7PT14n+Yuavlox3kTZD1XMC01zpREOg9kzyRttP423rHNsrSyERYLx6QEUFFfJFcxvZg0Le+iYsMCQbTHUIYWNYxsYzaAGWsMMYYwgmgymHQSiW6bpE2H0V7uZFSR/U/x4rPcuwHkzz5LmC5bxyyyUHvXksxTZLcvjGEv35oz9XIDMYky4BMNwVjgSTFEf8eq+WkWyZJB0LGudCN9sLo2fI11LZj8Xb0VD/eaIuk3GaVyMp5K/FkzNBOaY3arX9tl9xPLL/r5IU+j2DYnq7ojKAvIuJbbw/gR0fVYV6devgv3yn3NVcv78d5TQF8fl51xjVG6LZbSaI2TQed1EvtK5tQkfkOtw7GUL+oDR9c1Ij9J1qbCunJ4hUAPTu1WkWfIytgm3WUcEDmmMiO5acTFzBbyneX2wurNNt0KTVDVnIqx4CbB+JZP5O23kVctjBpVCiXzPplp4sqZnOx1HFVPCjr/HatpHyMi+lFjH4LBeVmDKA5tV7sCyUMF2DLAbIAIvKOoYlxKtil+vinmgKGpolO8zZTIhkFcrOyCmiWvxVMFUCKvzNW7zW/PcpjjOHZ5lGIjOXUpF1GVNyXcgHLYQOs927ljkTb+PM6VCsBMS0e5qI1dVbiJPje3Ec7sG9YXuXPrQZIzwLootf60PiQebBpBoVi0qEYRhMeZayw/101iBkPt2NrMOZ44JK+h/+9ZFva2veV4QKm+W05XQOFu/ZUtoGdnQ6g3cwj45kspuvUIjCVryZjkTHuYFplAaSTlvbT0orGeFoiTT487CjFnJCLZN1M86Tn1PHTZGuVhZMyFQCyey5Pj60sPz03EtUkW1Pgev3eW+3O3VU39EXx+C79HUFlVvdEccnrfZnWesl/5fr55K4xXPHWADcNrSVbtjjoZh1nID/3UHJX2tU91oP16jURPCWhAOC06RU4b056FyG5rlQYzGa15ZoLFzCn786u4ogxhr9+OMx1e3OjDcpc8LSWqPz9uR2iR1Kvp+FtxJGWgRmeN8O0H3RawNq+R2ccqm7fOPnrJH/HJmmh5Yldo5Y9AQB3FUDyM5W7BRApgIi8w7P60AZ2Vl7x+blVmBLIDHrp5NPViwGk17bc8E5QNy0n7Wsumhul7GbKKCkGkCTFG20RfPPtATy2czQnu5Np4U18zDrgnUNxRBKZEykr6DXu8oBee9564EFjaez0KZUWYhUA9tzB9oUSGfe7DYO+Se5yA5crVRpM8VxOXcB0jveHEzjv5d5UPn9P7hb2yr5w1oM+XQsgm+ms7FRPPMzuVwYDNXu3v1ozmPrbqO7wlCXa9+p0JdEO2bwSvbJIPYbL34GeYlV7lIHfHhuJc9/mEH79wVCmcpqpfwNmO1Dx2zajAZ8bxWRUL/NlMWBkSbdzSG15Ib+fsTjDL94fVJ2LpyyAOHkkf/dFRDQ+1I7uMWMLBa1Ma3szlQ4toTguXJJ2hbDsvpH8HdYRQde9Xed/o8mY0lVEtuTRWoLqKa65/+ss+GWL8bdh/Vot+lbF+nIob5G/a+PYf5o0bFgAWX0Yd75181QGIiJ+/v4QfvPBoOm1bmCkoKpSfMhy8+pUAaBvCaZ+AVxrtyRfWdqHacmFMrvfuvZvvWutPp3RYqHuBjE2ZOGnq7bSNiMXMYBoFzCCyDNWBom8OAmZFkAufL1ZJJGKH6Q4ZtZEmcnMG0gyJq0WBE3MJCdVChkDkbRCLSmrYhcwOYhbMMpyGoxZlZ6scEtp/s07lzs2pmMw2HnlegHe5DLSrvhbTdrsHd+/1boriVGebYrAeHaeWx505LJvU3beTmFIr8Q5twDiH/+vQrmijGkRF5lqxd6pEpd3m920tMplqxMTQRBM3+2dm9J1UG22r76TtytigyYOgi0FEDP+3+p9htdavxRAftxbeTAk36GgPqZsa5Xt9freKH60ij9R0i6M8Fz1eNebnde7LuBgg7+hqHH0mHy9Br18jOrYIztG8ReNC2DKAogzu9dOmHpNdppTnmVMvSORnmVfrvpe3f+TvxMiw6M7zOMQye7LZq6+GXJYPKZ3jjFz12GjxULtnWaWBb9fN4Q9w3GMxESc/0ov9xpuGoJ6vAWkLYB+rPnOlTJpx2K5sADSs+Swg5VFKflZOkYzr3ajftv5ZuoUboBpCxB3ZfII6j52xEDD8FqrtFC2vCOCv2+2Nma0Y9Vjp99TLjAYeVqoviPG/zt9zOQbRfq7sfJY2VgABSMibnwnmGrT5fxoFzCCyDNWVqSVn6Xed++GO5U8ZHXStphl/7Hnu/GrNYOoX9SGXyZXF83uOfDxTm4+/7t6EHMf7eDfZDQRYOrfyhUpeZAkMmY74LBTjb921ycr79Dp1uV6Si15JUG71adbbnCLtlnfQtT6Co115FXGXHZtDOqgxE7J5vsDLAaUV1wTY7kLXplteZvdr1SEO1GYqK1HhOS5TIUQL3BxrrESeFbGrjyhOMPuIf2YG1b431XB1N9K5ZoSbjwlzjUJznsAjOMgaNtxU/fOLBVvdldbh6Ii5vy7A/dtsRfAOBfYqR56rpBA+j3Jg+S/7vHjnFeD0vUcxWmGHIqLjNx65KLWutRanZxk1jv+fRmKFJ10Xm+L4LsrgoZpMKbvzpRh8WNBUWmoANKc/P36YUx+0NjF2NACyMa1cn7ffKvf8PvkTU6F5I/yNepZhKgVQOprUgpCC5+kYPG7ddqk240BJF+SDwtzwHrfIMtjdRfWjHyMZFD8LVtjG/HZV3vxeptFq2mLMgBSWTjZhMGyAsiGLDyUO1la6f/tKoASIkNrSOr35z7agQe2jeCNVsnFNhXwvrz1P6QAInLDnuG47pboRluVpgcY6Yt0LYB08mZM2ma0R8eahvf/d1cE0adnQ62Xj0Y+LRv7Y6nJwj1JDb8jpRVjqV0j1vdG8aEmbkx6BVHfAkjGIyjkTqUPvLrP3a2yefxcYWKfCuSt8xLVnYtDFzCdDlwuowHNgM6qEsxNS1SzAUt9ctXKyQAqpy5gLPtyYEyhmLSZ1qzkFrt65aL8DpRXxBLZR0bS+4bdVADxJnGywo1XVnbcgdTn1P/zLLt4d1sxC9e714ocG/qiuOCVHmv3Wjj+Y4UCxwl/25xWbOhbS2qUaeAPWvXKzmhLWl65Gg3efr7GeJcfs4m33U87lFTSG+24ly+0xSt363aCQwPp73xZewRPNIfxUKsfGwcS3Ovld/q9FQN4fGfmAoAVBYf2GqMNAnhpn9woxTOyGlYk8xms3Scji2c2MbNSl+z0VU83W19gsZKXXt/TOZrAYHKgYvYMvmQivM0rlEe2BPmK6I196TFdNpNSRxZADhYTAGtyytfwd4zMHqO+Sk/BqfxbKVdC80CONpnR/H/5m+7upqgeIxhfm+v4xoxJbqvDMb76xkrxaReCn24eRf2iNm5ctVqfubriky9246wXpDhvv1s3hMOe6sLxz3al85MtjpL/5zIGaSlACiAiJxz1dBdO+U8395yhZp0zGEqvgKibe70OqGUkgZ+sHsTtG/W3b+Wlsa5XPyAvF3nyyjulecZszBeVKZ35Qg9Oe15drkoTcr1stEofpUz9ERHP7TEPHqlKz0Hn+NK+cMZ9ekoa3Xw5x/Qs0JWN+/ZgDDsGY6rrxzSdjFsWQG6mUZPs9Jy6KuUKBndcwFLbwNtMTR5y6MZkUOajs4LlFAb++8hW4WZ2v7KErKqxOkcTaEua33//naDppI+BWYq1pqescFoE2vt++8EQVnTyg7Oa5ZFeREgfcz96gH6+qf+ZVK8FzTWqMlecNFoF1faLYpYKWF4/qywvx/2VSSV2HJjUjgia/+VdZ+yitMT4/iq1ZZPed/TIjlF8578DGWnpxXXhpSWj7Z/0kC3NrjioBkDm5gZ6+ei5gBnmpfidspBy4eOyo5wzszyNJBj+V+tiZdAH6KV28BOdOPm5rtQ9RuUjjym0cQ4li+v0wVqdXSh/ujotr/a12/liLCuAbKSpus9mX6psr/KBYXgJxd/yJ6L8Vj7/Wp/KldNIOWCo0DUS0CFvt0cwEhNViZv2g8z6mETVJSW/r8OTOyN+dm6VIs30lcGoiMOf6sKFr6rdIuVrOkYtLKgnK6xc52Xl+RhH+W1lEfT9nhjWJudxq5NutjsGM5WuaQVgnipmkUIKICLv8DoD+Rhv8C6TaU7P/3jltPpM/PIBtZbcDcsOufHUG2TkoiOU5R6OiaZl5FH4gMkDN71dTJyy2IYySXc1nbNao4fewoBSuXTCc904/llJcSa7N2h3eDPKhlc3tLXLSf0xK/lqP78+uZF2Nji1ytKidQm0nH/y4awE5TSa+DgqV7066yAtvft5Ew5VEGiLaR78RGeGxSCQuRKWypfx3Za08IwTBqOi5RhA2nZJO2l1Y2HOyfvg7QaVTf7cdkMh2EhMxJrkLkRGEw5ZOcRSv+3Lwvtf7/1o5Tab5FuVJx/DbTt53LY+c5FIxni30sw8X20ZyziWTstcKu0VvEmQHoIAyLoFrVuL2aKQ3v9GMKS/4QyXL5P/VelwFJGZ12jGMDrHZRofascmg901tbcZ1e12TuwaHh7NRBaQxoJad10rYwReXDbAWh+pTH+/Wi8qdMZGSqWUMrtlbcaW4Oo6bS5P2gIo82JX5t5G7oUGfZGVXaC0i5Ovt4ZNvQTc1icMx0Q0D8XxuSW9+OG7QVv3OnGrVt5RmYwDp/d9fDq5ycYHvTF1XMXk7y+/YWz9pFywtlSXdI7rBeA3UhTLaenNP/LlslhoSAFE5B3eR9eXdMcxsgDSYqXROLcpYHjeypa8esi38u7TyuZJmQjbzATmAzM5/6iY2ejJ98omxluD8dQx3qAlI28L8n7UH1OZvT+xS99EW5ucG7onvXgVeiuheh0a16qDc07gHHOKWR2Wd65w5jroQCCLiCz7lV+GTMWv5fw1v7UovwOn5u568JQzUtrZJW4mp9LSz2lWZpM+EZntWUxk+M0Hgyl3CIA/oL/rQ/NAlgmR4byXe/CBxtry6xpTecM2yeRAOl6OzZlXlmQUiTxxU9VFpvqW7908gk+82INoguG1Vv3JF2PAw9tHUivUPEWdPVnVCiWFuACA06dXAgBm13hT+VlJLxdk77TpNF8+e4fjuHRpn+qYyIwnPNq0AgqzVb18Rmy6gPmSDXLG7pbybxPlrJV3qLzEbAdVO9ipPunYhdbvSTDgqrf7sXOQowy38ASSwkv/vNzfZARwFvTfLwAcM9XPkZV/h5XHVT6JUd56iyAtFmLW2JEn3c5kskUnREQ2KPOJJBgOm+znnpPrzkcGMmjf5Rde78PXlllw6XKxufr0y7045hnJCq11JKFrsckVgzlTzBspZebVpRdI+hQhFJSL7fa+ZX6Ig9Oe784M0aCT7hdf7+MeD3EmAM1D6h1y9cYZz+7hWx+PN0gBROQdw5U1zW8AqRZJO4a3ojzQbrOdsT2uIifHE1rOfdrgb6lG1UHvYKch13PfkFeZR+MsHXdFDgSrk7hh7BDF36c+3801e7eC1u+alz6v01PKNqozUNZLWw+rEw0j6wkzRmIinldYSJkNuuUtdp2MKXI5bcp2AiqnwZuIWr0X0G9LtG43yr/tDKKmV2V2kYwx7n3ZWq186Q3+QEZGULSDTt9tRnmxzPPaNuSDnihu3xjCHxXWEjzlKq+dYpB24JDf81CM4d2uqCoemEz7SCI1ELRnfWHehhTEBQyM26fwJngiA9pG9CdfURG4bmUQt64b5ubFY86/202tO5XlfMM7QdzzkaTE23+CNNCfW+e1nJ+V6/KxsKqXh1WFioyeRdbju0ZVuwwCekGg9WU6ckrmxF97Tcji5geyNabcV2i/zV8m40GZfPr2LICYQgGUhQkQd7yn4aMBtQuH3CLbeZ1jCYanm8fwizVDGZYdTnXDP1O4bcn6POW3zXPJt5KVWy5gRgsFen2VWVko21orVhJGfaLejod2yLBWTf5e0hJGT1hMxVCUzqXlld/T7mH9Npf3TbcbtNHK/N1Ca8lmJ32n3gZaBasyHd6Of9pDdmJpyt+y9p7WkUSGxZNeV9alYwHUynlXsqulnJSesnWoTPaHJwUQkXeM/XRZxjWC5rf2uFH62gZLm7XaAsjeSMBwZeeZLtX/drY7tJOPFisftJyeLJPbcdCM5NWes2oBpB2YvGFh14RaP7809LI0tLpQ5M/rGAFgr0bpt7o7gn9rttP9yepBlbWD2eOn6o3OeeN4WtZrjhxUWYlKiZKhOJXK5OxZlZbz0MLgfJBiZFoOGMfYyJW1QjbJioypBiyMk55cm3kuYFZbLnlSKUAKgj4Ys7bKBqhN4nmTY967SDBpBw7Z1UYvADsALHyyE3d/KAfLt16YehPZfCuAtOgF1Oa1twzGbRpP2Wz2TENRprIYUqYj/45qhNEOkHlvYedgDG/quIqYrkobn8aQViAH6OWhjLNiBb3FGq7y1+TBtUpos/QA/gRGTx5JASTViPbRhKXFLKty8O5Rtt1aq2M7So832iLYORgzzFs7CR5Oan72Djvb2e/CJcaKdh485fbdH6UtHvWsqc2sNXmn9MZEdl3ADOtAMo+NfcZln3GbUqlp4/p8edTI+azultrSPToKHivjDq6iXpNPRv45tle0U/52Fbp695vlWekVbC2qyQhQLKZy7nl2t9qlVq+NddK3pyyAdLqbPBgMFwWkACLyjp1gl4CBAkjPlUdxvXZrVUMFkMOP3spt8lbmuQg6Hzd4hmiC4bdrh7g+uqlBiwUrHDvnDNE04laDsGnL+P8sBPaclDT/uuKgatVxvY5EhFQWWwZihqbLcsekPbddE2zunJd6ca1mO93uMXUNMFcAGbuAfUYTgM9O2kq4O0spjvFWJQWkyxiQylU5KDaDgTn+HmRxLMUAYsBVB0sBUo/SrLyn05G+E62PP69cGNSriaPJiMjZDPx2D6nz5aXldBt4Ja+2pCfu8x7twJO7MgdZeu3s3zaPpLZC5gVv54kku6PIVm/ye9GzbpBdw6xYiZqh9QCzovjbPOB8u3ieIkq51a2M30FHo22zGCc/rkwOK4rR93Xcs934/Gv8SXS2k5/FezPjx9l9BLXlTfqfoai9hHStC7lWXfbS4imEnJadXM/k9Y6Pv9CDwyZxLIy0/2c5K5f7bm1xPLEr8x0abbe9sjNq+OwnNFSo/pfdlP69w/5uYIwhIyaaG0GsZTd03lhKNZa1kJeoScPOIokyeY+gnZhnjgHt1gDl9SKTAv0+acPl3230LIAqkgu/ynqnrO5Wxh28jQ7sKElzgV2ljpXrddZJue75vOf3ezRl66C+WlkItrtYaEH/qbsJTb4UloWGFEBE3vn0nCrdczyts4y287RiAaRFaxKvvNbuQCDtSmUuEy8/t4gpnkn7Qb/fE8OfNgzjqWal25H026zxdSqrnRUvu0Gg5T/13L7Uaesoegzy/PfOUZz8n25s6DP3T3dSPMoJuJynETOTljnVOruHrNTZKQnIfiCizDFDAcQk/+1D6tMTjfW9MZVZvBWcWwCxlBw8lN/BA9tGMDUgHfn7lhFuuTy2cxR/2jCMs19Ubz3eYSEI6E3vqa0mlPD80Hl8/S3z2AI8azS34bmAKS0jtw1Kky/e5+fzCBnvg7ciLuXDf3HyeUPls8WGiaeQyQX1i9qwazDOjbHCm6B8Yf/M/s9s3Zi3W1s2mN3tuO3P8rw7VdudN23FvVTGrDvi1Q23kOuZTzGAsdJGOPk+lAsjVoMTC4JgqAAyy1veCMHOPXq80pJpuWalzpnlJQfMVa4fCIJxW6qHtsewNaFWJK+1FFUpolTHGfc4D229/fIbfbh6+YDp9fmaT8v1szL5LUSVCiDFddYsgHjpm+Vvnq5TmCZ9s37QqSjaPlovTpxMlVcwvUY3r5S7mfldelfofVNGbaAsr1U32/EKKYCIvKOncQb4KxPa7d/Tx/XSkO7mTeLX9KiPqXYB0xfLNXIRzFdpNa9XJrx8zSZbDPoTDbtmzXpyOA0CbU0BlJRHc6muAgjA7iHJAkD2Ab5/q2TR8nTzGFpDausAN3Z0M0vi+4fXAgAWTHSwO1GW8imrkvZZN/bFkBAZbji8FjceIcloN8ZGXFSsMjHg9g3DpnFwZOSc9INA84+v6lavNn83GbtKtvzQMxnXyx8A9iVdEXjfxLpea4EutavSvNU7VWBrzblHd9pbDdd7U7wg0Mo2RTb44plOSxMOdcp68Sz0qspze8awZzhu69vSlvvyjkjG8Wyspqzw6M4RrO3N3FVQQGZ58oLW/+g9Y8VphgLI4rOk+1Om/t9sImPhuqDCjc9q0eZjZVWZhdUmiddc2HHFMZvAKK2etUGaa5LK/WwscpQWQHqYKaHs9me6MYC0smnS5l2ea9d4I9ywAKpJbkU6qjAbsaLM5rFU4wpqR9mrnAxrn0v5DsxS3DwQw7eX9xvukiUypCxCja5xkz0mbn9ydnLoh4EIXzFh5Vvju4Al21Gj8S8DPjbDuWv8lGQna7YLIO/sz4+ZkPpbZDoXadPRjDUExXHlbynPzASrfOqFH6vu28q+MRcWQFbS0lMAkQsYQeSIv20eQf2iNu45ue1QNiJ6LmC8gGRAujHbNmhuzs/LJxxnqo7cDD0FlZFsSpxssavswJSra1Zk0TbiRgogt9E29FaDQGufyorrmN4OU3pvVlR0hHJ+ssLw3a4oDntKHddJme7WoHoC/3a78XaqvDR4+D1Caicwu2T7/tQuYOrUpgQ8YAC8HgELk+4GUZs9dDTBVN/fb9YOYQlnhZZH2odbL09910/lo8hthF2LCmWQd/mb46VgtvJth3Q7mGlp0xO250ynG8OAZa6oKf9LmdZz7pfcrNTHtPVG/teoeX1pX9g4tpX+rbrXaVfD3eb2jaEMd09ppzzNt8v4de0RE3cWIxciI2SLV+31Zvdb2W5e2+YB5hN5peK+eSiOv36o3oadqxwwTtJQhhOe7dK/0CQPXSs1Th/LtRZQpZX+uy+idoJ3YzdFQO3u7qQcrZSzfI0ybo8bFjROvk23lIlWi98ov0BSiaddBMlQplsXK4VjFzBoJ+/W0/zD+mE8sWtMpUDRpsEYIJp0O3I7YnVhxQxtPCj9fDNRuoDa2cKed8xs44FsPmk5jaea1X2CkUWXzJkzKxXnrVUcBr5CTFScT13LSbLaJ6jG1FarqyAI6TikFm6yGi4ilb7BOTklu4uW4w1SABFFBdP8BtITUe1AaVIFv/ra6TCV18rpH/dsF2Y+3GF6r5OmgzeorDaZ4BsFaAOAwxVbXeq6xRmYaBpNBh0NzAzOZSiAHLa/VvRzctr/2q7uSI2UTnJZ6A3KYyLDoZMkaxxlMr2aCfhVbw+YCwjjQaUsB29ibSltG9dyYwAp/uZtbzunVioHufqa7TikJcb437sV5OvlUj/9+W48prCCMZpU8fLSlu9ARMQdG4c5V0r3K4MYC8oTGoZ1Vphu0uxwYUVGN3YBM4MBhiOn5EK37srw91YGVf/rVQk933tA2l3HzvMpLSDfbk+vnttVergNQ+Z3pWxj7JChSIP5jjQA8L2kUirD+sPkPt7qrxa1G4k1OhU7tnzpjT78/H3zWG52UcpitMuPGXZcwPSCifLS0nsXTusnS8qkN4yYXSP5J3WOGscZs1Mvdw0lsCoZaNdMgaW1AMo4X+DVdjfyr0oqgJRWG1pLCqc4dQGDpp/QswDSxkoDpF3TtNf9Y0sIf1DsBCmCmU7K5TzNLIWswhjw8r4x1C9qQ/dYIkMZK0szqyZzUwsA6E/66Fkp05EYw1kvdOOt9jCmP9SmSt+NGHX69yfLntNO2FmoUi5oGuenvu795I7B6cV49bVaqjMsgCyLaMtKzu5aWsbiixKTtMrEAIgUQERxITckq7vT5vTyxzhZs6e7WRBo7d88eAogq7tvpOSwcS2vEaswUwBxmn1lOlWK+DCWVuNsNKS6yiHrSajQThx1YwAp/m4fSWDRtpHkcWZ4nzpt/kV6QxHG0kGJdRVpTB34OJWXg/HNjGqP6bvQ23LeCnbeM+95BQH418cnc9NSx85KWoXYLINYgmW9C5j8e1N/DD9dHVTIpL5eb8DL4/9tGsZ3/juAWz7Qn5zyYofxBmcdo/y2RK7PgL5LhDY1pSWkW4NMLdwg0Bq5AP73JyDTNfPBbepd8FIDaLOV44z6pq/A7k0O6ld2RvC5Jemg6NoA//lwP1Iib8/NUwLZJUPZw4AHt5u7/a2RB/PybRYzTysl3C20gKKvkxXxSsWxHWtaN+GVi5UA8zJmE2HtRFxvYm7Ghr7MmG+y1Z5fJwbQnFovogmW0Z4pRX54+4ild628Qg7GbCnekMEkMlfxpqwiWzwyxnRdg8wWw2Qr3bCqLiOjcJxUb6cWQNqs1PFjTBLiXHDTe4PoU7p9MvNxWC6aXNlFjqcAN7NKG0tI1tlWrJW3D8awtjeGzy/pS8V2ksd5enfLx7NpxoziJpm9w51Daa8Hq2WvTUfezMSqBVCVz2NrziWjLCKnFlmAs7LO81CgaCEFEFEw9DrbVV0RdI1lzhCsDg5tKTiU6TvU+2oD79m+38E9cmO4tieKX65JD+wcbf9q8TrLGLyAzBhA0gEjf+cX94XRrgnGa8XP2CjYM/c4jDtf+bhcxGqzV/ulJVi4T+knnW8EKLe3Tcs5Fmcq6wZ5The1aQHEoO+mZ+VeJO+X2xE5DgOQnVvFL9eYu6Kp243MYzIVOoKo2gyLsqp3ActuCKN3N/cVKuSz4sKlJGPXO1lxZ+329H2cNGRk8bSrzNmWUbZIE3PNMTib8H5TY1FoZ1K4dziOF/faCz6vVbBaxcG8Uj1ptpedIxl48L5BvTrKk7GTEyxeb1Vcr//VHuetC728L7NdkttivRhADMAPOBaHyvwe2zlqu16mYgCZvDUzi0UndQYA3u+O4r7N1ned1ENuoic92I7rNRaMZshtjJEri+GzWyhzO69FvQ28+r0oHQ/1LMK1fZlR3iLyrwCSxgxSqrwdFrVya/fO2B6M4XNL+nDvZvXCBI9IQp2W8m/le9Zu9JBtt6N3eyjGuLIoUTpFSGMj8/y036c2DIeR8hZIxgDi3G8FO3Mut7zpNw/ETGUkCyCCyDG8zuPVljDOfVm9tbXdj9GpC5gbi49mWTsKAm2QzleW9qlW3eVHmFvnxXlNAX56TPs/XyijVS+jyZXRI2pdP+Ii0DWawIyH21XHb11n7BpgyWdYZwSvN2gRmSLIn4V8RaZYzdaWqbl4UiwXk2s8Qtqy4h9bQrYmtXaqWj8nhowAITUJUT5fJMFUirCUAshm5RZZ9ruAJRhLuQBV6eyUBpgPYpwqoIB0u2EUaN3oONcCiHMs1Vnn0AWMvwtYGrke2PXH15IL3YyRm5NTd9ZsYOArIt1whrD6LIIAnPtSD36z1p6rlaX2S0hbpJgpzmW4E2S3+2AHL/qt9kjGMf0YQJnHzNo+5VntxEzP3Y6nPL5tfaZbqtwW+3SUzS2hBHfLdOW44YNe463YtbICMLWWldnQF8Mv1wzqnu8ac+amt7onih+t0k/XKspie1gnFpee4vb+rSOqNLTBro2sKa1iNaiulrQLWuZEPqrTCNlxW2PMnSDQE/wCGgLWpqJff7M/tfhg5OIjy//KpxtUx4ds7Pr0Z44LeHpnrDR7FW6mQ1GGtb1RV2IAadnQF+O2G3bT4V7LGR9xt4Hn3FvlFWwFGJexu0jnjhMhcM6LPeZKZ5fyKnZIAUQUDF7nwHOZsDsotPPxKjtXux+Dmblp5vWMG3TM7Pm45unJp9TeKjeqM6q9mGKxU9VV8hici4rA4ztHuUFujTomreVAgvHf+UM67g3PNo9haVvY0u4uoo7063v5W6crB3n6VkKMHwTUQe9kxS1FzunWdUO46b1BfDRgHthcxs64UQ7krCXl3sRRGqYVQNJfUZvjeMkVwuLMUYNykCJPZJTBso2e/eAnOu1lxstfM9DXyzObgUSGpUuynF2xkjBQghohV/NwljE99b5NPcwUeNx7DNLIByLLnAQy5o4clhVAgNptw0TBrc3A6LrlHVGcsbgHr7aMWZSG/97NJrhdCuua0bhoqgTXO3tyY4WpfErs7AJmhtaFUauc5N5j4xsRYB4EWovSHTuSsN9Wicn7rUzk9PpzwLzN0Xa35+osbDklm/a0ObkrVcoqWPEs8vjL6PHsus+ZoUwu7ZqclE1xzurCi1HeemlsHoil3DutyL7ywmmYanGsCgARud6B417LZNmkP6ZVebjnrbCds4kMb5inHQPvDWXZOZqMQTWXqVCOr23tpGlwzKytEjTH7Sgs7cztRJ0H0ktD73iMue3YXLqQAohwhdd6+EHXjJAHWNs4u4ko0WsjjFx5rKLaBt7hSMDqbXEGXLosc5trs/t5q09yW5ixWq9wE9EtN5P80tfpX/nkrlF8578DWNGRuXJqxPo+9bsWmb04ME82j+Hi1/osWSDouZXVc2L4yPA6PSXfWxHE3uSgzzCwpal0xvmk0xEgCOlvxWhbVrtpq/LhCKz3PewYjEtpJ8/LnlcRm+Y8UhBJW7ek703el2BpF5JKRROkHai52uEz/u6BTsu7mmO5xPv2BPUFpjix0kuwzBhAymvlcr94mbPgvXJaEZtjZONJlMC9Rqs0yvegT/mNZBzPNm2LifDcJADgvybttlk7CKQV962hRPp6s0kL57yqD+bcszoZx+imd4OY+XAH/rCBH5zdKA8AOG26emtm063bbSiAzFx/DCfSOko5y/10MnG7m0U6UZAqLaWcrshrs7FrBep0V0w9rGQvtR/6Vyr7gKkBD46Y7MePj5pgPrazkLmdcjZyLbYzXpYVW482Sy6HQY7JkPK+weT5tpEETvlPN25PWs9Yld3OG40l+w6e4lGr7NJWlayn/hzlDC/2YS4sgMzOAVAtjDKLig49WVMWQBrlNV8m42vs5s2Vx8a1RmkzZt72kwsYQdjgZ9sqzS/SIH+EJz7XbXid0cfI23lI1WDZUKPb/eh5KRulEU0w1VaURumYITfOHk2O8v9GyiyRAS/sHUvt9KCnKDFarR5IdviDiueJcnaOMCPBnO0EZsXi5rVW/iQnrPO8Vnymn909llrhMVIeWup4DSyADpwo7bDl0UzgvvB6pgJRD6uDneMa+NY/KssFxd+ffKlHdV4eZP2vjjn+pv4Y6he1YeegVvnn3AVMLrcEY6m/lSbhdq0sbF+v+b81FFcFrpfRfoajcRFxUa1kmcAJ3nHPR5kxClQxgDTnAhz9u5OiTTBOG6YZVGZDLuLy6LqwKv5WWZvli2RZKtsGtxRRtqxDOH3BKk5dVaef/J3ld6GF12xbaQNaQ3H8I+lu80yzscWRXnLa42b9jq5cnPI03Q1JK0vy8k/PCehPzC2WPYO+os8oHW08IW28Li3re6N4T1Fv5PKzHSeKGf9ver3L37ErsUVSLmBSYp+bW4VKuWPMo7ssz7WY2XhPsjK9J1kXtgSlsc5FSzMV/spJ9I/fCyIhMhz6pGRduzUYT+ZtnqnRmJlnGSRb3GjHRmrZpN9ejZYo23fNc4viuX+6EQSae07nbx52FCY7edZOnGfly6T+Iq1aw1spol9/MIh7Pwqp5LGK0QJ4nkcCRQspgIiCwWsn7HyY3WERjQ+1Zxy3FQNI8bdjCyCL9+ntkmTFAkiL/IxtGvcplQWQcuKhnMQBuGxZP/6V3KFn8V5+wNsVnQaTBKbOD/j/7J13nFxV3f8/d8rubO/ZTdlUAgkp1AAJoXdCDaB0RAV+iKigPtjBioiKj4A8AjZQQfERBVQU5MFIEbDQixLaBkggZZNskq0zvz9m7syZO+fce869d8pOPu/XC7Izc+8555576vd8C/CWIuKRG6NJfzbuQeyBtylW/qmUEPkgpMnGjQjU7V2l4fWuxFePCm0tAZfvlU76hLRdw20iHZ0JAP65tlAA5FsDKPPvWFJehwVCTX05sCc7tcYLFmKLf/NO3uZIxaRb38aZD6zPq9eaKHDQpHwB+lf+uamgTPZ+QuZU9cQZ9QV56S4knfeIa+b6mJXX1/y+r6Anann17SiDTo8YTaaUIcf9CKXcnNZn04W8b4QhBNNNocAETTd9w819znTWQxAi+dnpN0XGU4LmqMw0I68sqqd0fO0dul2ejkx7zcv8U1WPbbWR4JuRlO0DKPeVWI/ONYLNzS/mC5nf9+B612yc/lOyZj5IB+7Qxfm8QcxBw8BE0KbCrnrnIZKbPzVd3JrpxuF8k0g3EzAVMnNmp1+75/slEbfyyiHX5tVei0sq5pO7NOGJ5d0F39+TEVxaAB5and/unL7ICjWAgmG/i/V5ZrVmuI2RiaggfJfeqzbLB4CTZtThU7s2Ya+uGiClr9129B/WFn6fyv9XlWdaoyb3+cK/btDIVW/f9O2nB/Dpx9MHi2E5gXY76I0Ja6ztAQqASNmQLcCkNqaKzviOT+eBIkEGFXuhqTtWqBxF+vEBpCq2uHkTk31lc2FdOSNrOfnk3/q9BRSS30yqdCyV8iXM8fvenl0/glcldQFkTgZS4id33hnKPb2fCcMtOko20kX2f+boVpFKgOPUXHCm7dQAUpZD0VaSqbR2EAAM6Dh1kqQ5lpIvqL7g4nRUhu2EclaztylrImY5bN6BzQrnkrKqvbdv0JdWiN23LehtWtwuUUXxGnMsGi3kb4SDrsG0BRDOzy43/vNduQmxeM9f3h7KOmz1WyaRSyVRlZzYPoCcZQrFB5C2cNcyirQCAP/7ylb8MHM4oLPpTUEeZUqGPW6vGhjNzkk6gRjOeMBdOKGDUzDkqbWj+PmWfxe2I685rNB0N/054pKPUV+xgI6MGuDx08P1kWNTMH5n80/hDg+trLz7HPVuOpeHtRG0CZKcU/s0iZxGllf6Xq4PbFTP+/bWMUz72dto+3HuEFT0T+jUDtc5aHP2v9+tGsbLW+Sd0s3vi5HWkqLT10YtZWQ7ID0fvuZYy23OnLJmNYAcSQfXANJLwG3EdUvhrB0bPE3AxHHXSU3Uwqd2a0ZNNN0Wtxquq0RswaxotSATrjvXLw9IHOqrMFk33/mafIxRHmC6nF2qaqXdwBdVNbB9PS2pKGSDqaxjmi5gTYa8PO/1IS8snJiGybaR3aWMUCL8G1SIvXU0payTsezCJ1gefk3A/LL0t2pzw6RgM617cmLjHEh1q0W1IMlGWHFRc/ZCfHdTG9WCDVVbcWtD4iJX1yWDc0L245QSQJ5tu6ofmEaWmdaUNrk7bYcGo/wB782fLKR8nlZGSu/57TYmExyaCmJVvqScm+KIw0yxVAIgt/ucaby8yTY3UN/jtg72M+7rbN7SDuMlQiDz7CRp62FZak1QFV/6R05TyvVyIV3bN4xX8vbvu/3vmux3fqMcKfPQFKi4zTtXP7lJ2a9l0bm85jCnfNj+GBH6sqlplJiWXaK9J9SgMR4pygl2wfidKV9KIug0wes5/ZhXG+WvkWIqpV4LAYUaM+I6THYdAPR7RNAS85bxf2/KNbdtnBpAquJ7Pf2VL9d4zi+jijlMd143XX+kfy/89fK/b8rkmxGwOhpPUAGQfH9ihpfvSNWBmZ2/zpo7YlnKQ6mCNFVr0Mz3T64bdr3W76GGab09u75wzvWjTetW3u1NILK9PS+pcGQdWunlXZmG8LdHfkEWn24DtQyVCZiTVzflq7ibaADlVHiLq8Popv1kUqXJFPDYGm/TmVKQglztVcWrW3PDpy8fQFAvPt00rHTJE1C5JKRsKi4bR3HRrwo/LCtHfhr++p64gHJqrNgcP63OUQb3vExKIrYTIGcKIeMLf9+I997v7bdJVhfOr+zFrGzhK3uHbtWrFDw6FkcW8gVcxRaS66BbBnFsd1t0F+uRZBtjt9NH07RVTKzPX9aJZVCFf867Pq/fm5U27jEW2O9EnAvHHO0tKOrxJv+zm9Dmq//abDyPueU3osgsYqnb5lgK+PwTG7FeI+SeKHCQaZ4F4XsZHxzONG0N7mRK8qMLzsf1FBq6CHbDQOc9D46lXIXIWa2MVOFco0pfU/6TTc1ZxRsk/iRF7H7sNIsypX/Ekq4fvObhwdEU7nnDWzPMgny96rWElZVpk0MDyHmNjuamG17O3m3ciu42F6UFwilluoD4XtUJWQAe8BAQ2qhSscvZXBNxvTYF4K7X9TUAbWR1dP+bZkFlXugfxRuKqGtuh5dedbu9QAEQKRuqwcSJsYQ9YBmC4DaAyEKmA4XPJ56O2hT4vVAUXOUDSCdfJ2sH1db5Kh81powmU/jyP/N9czgFYKVCtnhz4+a+uHLy0cHNlCe3gDHVf8uRJwDyKIfqezc1WlMNoII0UkBT3PxmHc2hvbtzPnV2aokZbzLcL86vW7eNpMzpO1Dol0V21YsOLRNxMeu83v4p6nKNiKrMzu+djsqDjpd+BUh+7rvyX+7RorJpG6Zbo7lqsvuI6PsqBXdNAl3ckvjQzo3Zv001QeuiVkHbVCFLt9ZjMJA9u44PIBN0NYC2eJzIKAVJkl+8zMmcWYmmQ6oNXwrAtc8O4Gse7djpcyZsR+ufyfjgcGI/s6H8p2DMDupEOijJVC6KlYqVm8ZwliSCq10Ue2weTaWwYSiV1RB0qxcdP2J2+WSotGZUZXQT+rvdP6oQKObNgcl8V8ApAFc9uQnffnpAnqkGXm3Kbe1pl8Q5HOmYRH14XqPyN922+mcXMyhvAZALqVwACbfr3ATLuti3e83/KQC3/HurrzyCjvdLfqPW6Hc7i0imcmb/YZZnvEEBEKkoTMYsHQ0gL5Ieg5sb2ZMZzVHD73gsu89rUZA2PQg+nKkXwWncQnHqINuIOje+pSIF89My2zGmn7pOL/7l5PkA8onYD9wcNeto2MkFs1Ymbfn9XidQSfhbpDj7rHRRImp/aKSZW+x4F0hsJ+K9Jjh9RKyXOPe+zBFVzc0HkOW4xguV5uOYw7ytQANIL3kluvfLNsO5v/VS+d9X9U4lTTeUJs8gW2CFsX91TcPRBkyF9HmXu2QkSzbhJQCSfKfjA8gE5Zzl+MFrM6gUJHkIsXLlyH05qkjMzQeQjVeViML4iJXur2HM/V7lsOduUwGQW9/WIUgACBlvDKR96XixcpPCd2AqhZ9kNsD2OH77ytzYkzd2CR8Gx/RGMjskuxOvOnfOBerDpsIfxFtHU/J5JemYY8X6SSGFdZoqTiozdwtpnzbK+yTfOTW4/fQCVV8F1H21OW5hSkPU8zrA3el5BJbrfJRCbi3nJZx3lmGfCTUudxQiiwKmMgHzQzG1bVp/9CbWugRMSUElALK1rLcPKAAiZUM2bshObZUaCoof/ud5/VOHLcIicItPh2m6i60gAiCV/b1zYhY3+sUcYO3F33BAP9wyAdBpfzZ3+DmhLvhQlkyJji31EAVupriFgRc1rPy+RzFpVxMw1ffCwszp80Rc9EcVBVz+p3V55ZBtIFQn5wMup/MFAiDJYs9YmGuwinEKnXTDnqrzBp7v99Z6ywqABDVxJ3l14PJIKg0gmdlZmH7SfGsAOU6Xva7x4lQNszxlWVJ67euWf2/FPxyR73T9PXnh5Ucim59hus7xxrRp1ypcjf1pWWc6PUmBvLRnTFGldrfDTGHQw3GPSam83qnKjEn056WsBo/xPz0W5zYuxTDTvGPlVncfQAEkQGH7gDLlzS3+FzFbR1O44u9qn1livTy9bhj/80JubarroPeXKxXObzU1vO3qVfVlbw0guQmY01R4P8G/YiplphksFQBZ7ialsue3nyWZEVr5WTv9z/PyYAGAfEx4ccMINo2ktPNyHbsz40EylcKnH+8vzD+lt2mXaRKZ1oXdL73mXr+91/JRJhM2ephIRiRtiyZghFQaSg0F+Q+6J79AznklAFzwlw14cq2+PxrVumW1Iuyqf/OHQrMBe3C+yKGuKpqAhYFqY2xPYr8VPPPrqKY68XJkqMtXFrUETiM98Wb+1nwIy/Gvjdvpg3hvCsDObTHcf0xX9vv57fHsYi0C/6e5ugIgZRQwId8Vb8vDrQJAVHMWceaSVGyG71s1iCk/fRsrFeGexQ2jtqNUj+tMBH+X/31Tni8B0zDGgL/+aQvapBpAggaAjVupVK3TuSeOWI76dknT9Zks4N0QojaGxb2CY25jYWHAvIu93XX60zBZ1Kb9FundIEu3TrHra8yE85ELgLSLp4WqrzsjYcrCueelo3hTsm+9hBiqX0Un6zoCzFNm1hV8J/qactMqDcJ5KzZIBPj2BtEM5/XGAtESCQx1uOXfW/Hfz7ofONrpH3rPu3ltLqjgS3wff3mrcB3l1BRRZZfng0vSfcdS8rFdnENkv6sOhpwoD6A87nP1cYdUoLWTCZ/4W1pTVzcnVxMwpJ/r5Y2j0vFJPAx2e35ZWUwDtvRnBCg6JmCVyMGTal1/9+u6oJqgAIiUDd35z+8JTUwiBXfNZ+sYDrz7XeN8nFFW5vxitfQ6vwNlWuMg/25RQCCSjRSEYDbUuqQUf+tyn6HTN5vOIoRrFDU7dJ8lK3DzowGEnCaN5fg+FB9LQgdzS8ZtAWbn/51n8he5doQjQCcMvEqImJJu/p54Ny2EfX1ALgAStd/Ed5ZfPvfPhWX0uMAFXxodPt5rngmYIjlRmOe2oXRzPPs3wSl7gbDJZz09v2EUs29fjX+t8+fwPW8RGvKK81evmPkvGEsB/1rrz0w1BTNtMz84m5ZpU4s45jOvfFKpnDp9k8JBkp1mMpUqiH6U7wS6eKtyZ8qeGkCKn2V9x6np5bxfpQHkjLInwzk3FOQDhwmYqUaOT8TDElmkQxWPrMmf8021zMIOA/+fjeGZnKvGZdlvQRHT/rfksMS54Vf5OdKpT9MgAykYagBJrvXThEVhV5AIqn7QN792TyMFtRZSngDIsCx+V8x50790seWzZTv8W4atCej1PmTtM+wD9EqHAiBS8fz+DfniwmuRM5pSq8+GSTEneVW6nk6gFZNfa43Z0OZn41wKje4zZ9eHnubASBJ/yLQ102fwM2FYmZ285ZgIRQd+kQCLGPER3PqKyszM1cmicCoY0z3pc1yWgvz0PyL8LsOum6il3kybCgxMBX8iQTUYdNuaThj4vLHIJV2Vid2vX92KvwjaXk5nkkG79isKPxpOVBtmk3t0ueihfn83+qToGkBB7nWMNy8ptPDsa21sgbzqHYjaoZ97YmPeb6KGWTF9ADkX/H5NwF6XOP5/0MXpqyytrBNoWEZjzy9f2YbPZ+rvumc343WHfxjx8CBsnK/mhYzZagopvLpZ/5Du+Q2ONmVY3rAf70+r/B1CyXBzou+sP7fn2Fvir6XP5SBU1m1yfS6d0wUrNkjvlZXD6aPOUwNI0nHdNuDffjrn6kF5mdfBkst3QUzA/KKvAaR+815OoF/fPJbNx9X0XPo+/FVGMTWAxBLpRknWxY8AaHsTiGxvz0sqiKATeZlNx6W4FclveZ/fMIq3t+aPjqpFnqgBJJuRLp7flP1bZzowKXMppeYqJ7hBuPJfm7FeNzarnW+AjC3YDjvz07GQ2xQ5fzNB1wm0ahJQRa0D8heFXhOtlyDHiV1U1e/211FNDT8T3zB+8CMAyhca6yUgagAVpCf50q0ln67ws+XcnDk3lMWuSxV2rv1DSddwzJWOrv+gIDjbgqnqv+54I4qt7WeytfecRIQ+7Yx+VCyBhROnqapfDSA/qJKKWGnfg9c+q4705Xwd1z47gFUDo/jcE5tw9v+tR0qIDGSHkS7lXBz0/QXVAFqzdQx9Cm3RYpNw+LwadamMggMQl3o7qjdR8N2f3xxCKpXCa5tH8fDqISMfQLf8ewueXi/XdOoQtKmlGmYp+frB6QNIZNWWMdzg4kvna47Ir24CLBNSqRSGxlL4r8c2YmistGtSbQGQaxqWq0+tlzeNZn3bfP8FtemhbE1nOg/YvLp5NOcPSNJoB0byv9ulI66VrjMtt/WmH7we1zZR3LMrV176ACJknPBCmaJF2djDVf6pu/um+fy5DcUsUt4A5hyYASBm2OOf3aBfx0G0KEwJmscndmly/V03ffFk2xQLOU0asQ25nRqaIJbJNQy8IpPNI+4bCe0w8Nlnyb/Q1HGqjW1CkrL/c1w3MJLEY+/kb0S9NnPBTMDMb/anMSZsuAsEoIUpBnVODdhRhXKZlVvoPv3nb+Pjgv+l8UixBR5OLTCVWdVmxZFrkDHH2e9sIplUkygcb0Q5jKpMJqjaqNOnxnCITqC97nc6/LU/2Zuy7z4zoNaekryQDZlN4GgylWcWUlQNIEXDCJrdKkPhjfO1XfTQBrz/QfPAESrO/LO+g/gGx4Lq8r87BRuWdJ3ohaqux1LAvr95B8v+sFaanuiT0W5bKQAfebhfmZebIMe+X7Z+cIveZ2Iiq9ZANh+JUgCGhAZSUg0gzbx0nEDrJPV3hbBdVRa/Pm+e2zCaFebJiv6IYDJ+6ORaNMf1MhoYSeW949Gww/t5YPeP2u3YGRAFQCQwzhM9XYJuJh5d48+fROgI44fbmjIFoK02gkn1wbtdVkDgGLvEaCC3vVzo28I0569LorKJyBzgFtvHRRh4a63oamUEUwFKIVUYyQ2iCZh/rxh5AiCXRFQ/zWtTn+SIi5So5tFSYRQZfxuwn/0n3a6HxuRjyEce7sdP/5Nr+zpaF6LquCmT6xWhj1xwqtib3qu6R/xeVzAlnoAV5IX8KGBB12h+RwbxUWTj/gsbRirWGaWILbQsFdvGUkqtxvsUflt0xxtR+O3px8bejKYK0x8TGtiHQzDH0x27PQXQiu/D3C7oDJ2yS+w6szJOn/M0gErcEYLm90cNE6xkKpV1Iu8M033/m0N44t3wDgPvUbgckGEy/dsz+ZzWGAD3fqNapw0nU67Rav8g9GldjQ9Zf3Fq98mf0/+L16k3X/0slS/o8HXQ4idf6K8FvXwA6Zbhny5CtjA1gADguYz2mNcb9zJhE5nZHMv7rPJRBeQL9bTxeB9RSV2r9lXVCgVAJDAH/aG/3EUoC7IhSeWvCEgLRux7TtshmA8bOyXnAkIMFS0jz9RIY5DzjJ4k/J6LZlJ8nHmYDtieSiuaDyGqWZvy/IZRPL9htFCIZznt683TdpbJPQqY/HunZpIyba9yONKUfe/MFygUYIwkU/javzZhXnt64bCwPS7dUK/cZG4OYGd11ZPuAk+Rxli6pPv2uEebkJG3wDZsOxYKnzl72iv8oLtmWtAuFwCtOK4r3RYlfbzUeGW7+DfvjB8BUAk1gJzMatYQVmqONyZCTLt9Do6lcMcr+X75ShUFzImXMFOVjm5x3a4TfQAB7kJdmSmNuNEXhWqWZUm1rMIgaH34zhfAN57cjNm3r8ZIMlUyk8EwEMfqrKNu3RslvCH4n/Jay+lqJ+dpAGW1hvLv8tQA8sjDNU/F/X6asHM94CeNuM9dsW5eOgKgoISlUWUjW1+oeGj1MH73utr3akvGD2lNJP9w8/aV6mAMfvr839a4C5btg0sxaVsLKaz3UOlQAEQC89qAv3Ph1wdG8UaZbLfDRBwrhj38pqSvt/DRBY3K60wQc+tMRHILQcX1gTRWAHx5z2ZMFDSYxMV7yvFvMQm6ifLrt8aJTm26aUQ99s6w1AeQLfwIayHvRwPI1Qm08LtRmGnh78kN7pvRFNIn3SPJFFZuHEXXT97CN57cnNUA6q6L4NE1w9j3N+94pqOrAWSCZQHttRFf94paGcYaQBk/Afnf2WnlftDdWKvC9S7sqCkUAGmW8acHt2teuf1R7PHRrT96LaS3jqYKnfRq4PVMdpFOua/QvMaPAOgr/9ik/C0FvcihfjWAdPjPxhEc9fu1nmn7Hd9tQXVO8IPs52SqtILaUghkHlqd3syNJt397JQaVT0fO63Qh4/l+MPtHanWaafen+s/4vb5jpXb8M2n8g8v7A2/p/mz+LfkWlVUuaCCFhGZNotX35CVddghIPTTv3TD1zvRjwKmfiFhyR3CjAImpufV8+y6P+MBtUmmTOAIAHNb9XwH6WL7SlIhqw9bu/Azf1f7r6omKAAiZePw363FwjvWlLsYvlFNljrXBx3o7aTE/B45YUJuQFVMYuLEoGOn7TwJaktEEBMSEfO/feVWtP7oTanvoTCJRyQaQIZphDXw6YTk9FqvOk/ALFjZTVFoUcBcCyD/1SmYcqbtJWyUlUNkl47CSCd596WAY+9di66fvIWrnsxt+GxNYfsEZ5vHDrIjEdFYBJu3Wfu9lXw74iGYs9HdJ4nv+EiH89EI0k4gZem7ccy0Onn5fO5MtSK5+Ui61OaqKR1pZEDc+qMYrSmocNkrWl/eta5CKfMK+ebTak29lZtGMe+Xq3GHy4my33x1+cGLehsI0VzFlxDacZ+JCYYJsjnXppQ9aMNQ0nNjV0pUJWmtSfcOmT8/nW6nWp+8JvRfcc762zvD+IrCsbKXMDS//WQ00hwmYLK5ZPmf9H0lORGt2JTa6h5p3CXRMlm5aSywYMqvSxiv2+x03Y7L7foP2sJljgOCaLXorpe1DkQV3ze5+A4qxlgte8/1MXtNGXp2FQkFQIQYsKvEw704jjR6OECThk33WZbZt72N657LRQKYUBfNOZtUDJhBO7zz6cSB+RuZU0nTSFp+yhA0GpGXJlSYJmBeLrLSThBz5Vk3NJYNialSj9bh/4TQxG6ehFRtwm3BIDqX1T2pc16WSgFLewqFQPZ1SeQ7GLSxI6TpLtQ6ElGprypZGY2wcgv8nVtj3tcLLOnOPbe5BpCkvJK6GNN8KLEenZE4Ngwn8WK/IAAq0d6rFNmUy5wkiRSmeGi/BaEc/gs8fQC5/PbpxzZKvz+qN4Gb9m8zLsvXMn7rnlVEPbLx64ReB2/tovQFJj4/1Gnl7o8g39Q8LGojlloAVORBQZwDd/7lavQNVM7uzOmPyEY2d+Y0Zr03+Tqb9dVb3ddZdn5eDrLFR3jfg+vx7PqRvPVVCt6HLMUYc7ySdDrctsnXMDEvWKRIJmBZAVCmfB21hRlFHNf4RaoBFEQApKlNplPdtt/05pr8Vamb//9i7ChkvivvPKKzCDlVLhQAkVCZ3lS8hW0lMLM5hkdPmABArsatoz5qBdDqsFn063fw7mDhsGg7v/3XOvni13Q+dI73TqfEsnVBsVW0w1hslNIEzCu8pVPIs3JTboEbsYDV24JPf64mYC4ncO6aQ3n/SPnLW0PSdgqkhYcNEoN7e9EmVtsaoQ7s6FaqiHayRcr3nnM/kffTYiPIncDHDFdXdTHhhNUwc1fTPCEtXdMaseh/fjPfbn6LQ5sv7J4tWwTL0MnXtGzH3bu25NpbW0fTQqdiBh7RdRvv3718IV4iBzeB+/P9cpOzKQ1RTKgr3nrC690HEaO8oSmkEOvFjxzFFkDb73LjcBJ/WjUU+on5WKq8PoBEGjSjDJWCTQptJFHbJ+X4zsYt4p3OE3q9Y3tk9XKg6/z13r7BgncdRMDrherecjni9bsp9iqv049OrWRos/MO2n9lRQkmAEr/61UqnSx2akkfol+2a3Pe9yphKlAcM9OY430AwPQms4O88c729bSk6FSTRPHG5wek37tvwNQjleqXYsxzyugSpgIgRzrO22VrixAi+boi04AwrcPQBEDZdNR3DI+lgDiweqt8U+CmMRXWJs2tzfpdgOmotB//x5wfDGcNpeDeX875v9zJ5ZPrcppA9kLBKWxVlldjMeVngWGHr02lCiO5ed4r/O1nbaNy0il+q7uGdBNaR63wnfSK/PX4Cdj5l6tDSeu+VfrRe4B0NLFSawD95e0h/OXtoaIelFTO9jiHr82HVdxNYDE1gO5VRFhzpi1urIKYgNn19NfV6XHyKcUBkF/GXLSK7nxV7fA1LERNjkps305s7YI7X9uWa2dZ7Y70F59/YhMWKhzwh+GEVj8KmPt3KVHFTMFbGj63TPFbBYHNpyx/pt1e2kZpYW+uH8nGHzuJoEtouQ8g/41K2wm0xoCdTAGnzKzLOwQD3PcNxVAyjFbTZtUnrAISKuM5fF6DY0D6L4lquqgVITvZcRu4xXDUxa4nVfpBJgGgcGKRTWJujrDDwIJaHV0/DXfCnHBsnzVzfiHf6MpCI9uUoju5RQFTlSCVKlRpNyUFfcGLqCny90zIX10tihSA46cXOuV0XmNKMpVbKAYRAJkiW5xakgWargmY2yLA+Vx2knt0xDC10VyIISt3T11hCQYcq0EdMxNndCk/5SkVlTBNBp2DTISNvqL4mt9iRDGdQOuSFdwGycxlIxkWLhGaXX8Lg1Qqlb/GKlenNcAuryxSlviulYeCIbw/O421Hib5hdo++cI+HeGkSotPBwvA5PrCucRvHcz4+du+ywIAE+uivjQ0nbPYUQ5/es4kZXWa0wAyz98tLyCYwMO55zHJ10kSuf4sXj/m8tA6GlHfXtyqkXuOoHuhaoACIBIqQaNMlROnRNpmpnBaKzPfyguH6zJOlXLdonoLQU+WRAEYIN9kjhTZRF90rBgkDTdMTcDcrtcxiVMK7ErQndTCJ3XmYXiZSKaA+98sDNUpyzUuqQjtE86U92Tvpz1tHE4VCIB6G6P4yqJmZWh1G90xQ3qv5j3aUcBcVgHO8dxOMh5JP2teuXy0VdVJq2gGCcU1YVCuzWQx+7WXv6uwcG4S3Rj2IQFyzjVh47WpKGYt2mnnaQD51EJMIVXQ94qxuSmn3EV8V+NA/oMTZxQ6wdfdRAN6bcHrErsNqMzUbFZJtHecQqpij5NLpL4Ay7OXqItZvoQlzj64R1f+Mzm1aGRVmtUAKsL6NkhtprL/uhdMZ14TNcrEcrpNEToyZtX+TcXSiTU4eFItTpguD1ixPUABEAmV8dygVJorzsE0+1kyS7sNj/9aO4xvPrUZq7aMFX1qU2p1GGbs9D9TCRpAgFoDQpewBJXOcsh8muhozSqFMCE1FLdk/AifRK3wUqhqy67V9bujc4IZ6ABeEDBZAD48vwkfmtfoeo+oNWWuai5p/5K0tH0AGTgITwn/+g2XK6Krap/eIIc/roTvLlePYm5uShzYTCu/joT5ysA2sfRLUCF/GPWo0iTIOsYPYcMns9AphoCx1O0qmy9ypm1AcaO3hcUusmAhknf9jIejcjfCcMirk7aouV4MLEs+Gpbi8EuFHwGq1x0FGkCSSrXXpcXwARRGewjDF5RKmOMWPfhFDQ0z0/bSmYji10d0YprD7897Zm4/AqHxvF8nFcg4VgDCoCJckzg9yU4ldRfzMm2HYqGawIK+HgsOqb1kNC+mzxC7DM4snBoDOmmEiT0xNtcUpuytNmu5mOyFg1u/VLYVlw2Ym9maCtGnj52GLrJLTUzA3Jhz+9u+F7i2MObxd9MbFHtxv1xyApx3n/C36WJP1v5l70lbAOSqAZT/2RbC+Hn/6RsL09d9/GLIlYuRplP1X4aqXy3qctcc06Ec22OvPJtrfAiAYNbGbj243Sj9UpiA1XkMUrmwz/5EkbY2YEkEQOEn6Svfyhf/ADFHB9/9V6uxYSgzdmrcH8YzmjSB03eoz/tcZKu+AsLWWAlCCj61WR33OJ08Z820oW4Hus6WvZAdcAY5sLHbQxjtUhyvxBJ9/G/9ynuO+cNa5W82pjOMXdfOsXLv7hoYKhONWygAIqEynhuUypa9QAPIMTXlb+bU6Ys/FVu91Y9Wx15dhWq4hffnJ1AqcwMR2SM8usZMuOZV+6kU8M42faGSXQuvbnZXpzalVBpAfrLJ+QDyUyJDAZDstMzgXrft1eptSd/aJRbSkZ3EvOzvve7L3uMjz1QKOOVPa4Xv7I1kDjebehG3enS+W1EDKIxNpkybSUYqBdy+cmvwDB0UQwC0Q4t3bA1V1X1gjrvmmA66zxT09dltfdWWsaJoh5iOSzMMI7iUQgBUKxEANdfkfNi5KBNrYQuDlVrKVYBpRKpKwBmh8hVhXRCWBpNXKibjc6MjsprTBKyYda4S9NptWBYtq9j42cc47zl/biPeOyt3EOQU7sjqVGc8WDbV3wFDkPk6KRz8uOarlZb8uqBzsanfJvtyWb2MgyEmFMbzfp1UINW08LCxFH/LcJvcix0eXUQ1GLqV/wNzGzzTdS7Ki63to8SRr6nE3ts8IIXPPbHRLFEF//P8AH71inrz6moCFkoJ3PGTdzgmYAqNO0mCsn6lO9YU88TVgpXnB0tXIJrnA8g0z8zN9wkahbKFo+5w47ZwKth8Adg2BjyxdtTXgvI+hxakLczy4q9vD+Gih/rNM/SgGMOXTrWo6i4MoZruezcVmqu4/jl5tMygmB6SWADme/jeEvHScrhgxQaj/GXUS0KWnzYrp22R7bfw3xZlGkB+nNjq5FMJVEgxXDEZU2Xo9GGva0zW4s5xZ9uYOKcFD7rhnb+6sGGYGpvg93CjUAPIwkWCKbhzPHPTAHIbm+o1FruyjX2Qzb7d1rzawYrV3nNKWmCdfoYw32zU8KWtHUxKyxBGkJnxAsPAk1CRnXiNd94YEOxPLVGVM/OV8Mhuk/KfxQ1bkatJvcFQZ6yzMNHxAVRsZFoDpoO/jgaQDvZ1f3hDHfb3hue3ANjiqzx+I2zppu96j6UWWuYJgHwW0aTtyC51LqgeXTNccO2J0+uwYTjp+T59n8Bb+c9h/21UJx55f3735gLTQpUJmPi9uIic1xbDcxvkdvRuY8Imh11+KgV897X0JvtNH6F/V7ydv0CMWHqLrff/JfhmXEa5NrXFFPjqPlJ6XAqH1wfUbWHnVn/LTAtm/chUY6gUvmT6FPVi52xPW4M+T1LsuVC2iQlbVPLKJv+RnoLgfIpKjwIWsdzn7QGFqwGRkRAe0mTDLy6fwlpzyDhnx3r85N+Fh2FuJmCl1lLQCXsvQ2ZKL9ZloRPowndsXyNzreC8xo2wNYB0hycvh+NAetwNunaUYfp8tvNz533Vt4NVQw0gEirVKAAaFNZwAyMp1wGiUtYmqlMTt0GyOxOOuUXix8Ym4Xi/5dAAki1t/ap/hsVNLwbbTBVbIOi2qNumeIluk4O4d/KvASRHlp5UAKS5EArrxFXnXt10fi8IDL3uOXvHepw3VzxJ1MtH1wTMpO+kAGwYTt8QiglY8CQCUYzhS2uBHuBeL0rlJFc3l2N9RlkxFehYMKu/cjo1duY9NJbzr+UnvUIz9fB5ZXN5BEC2YN9mi4YApZx4jaebNTbJYUQBMxHkBI0ap3u3ykxTttawi2/Sp4+YUqt/sQt+D8zc0nH+LDdrT19152vblPnoaERJNYACvOJkCvj6vzbhssc2hmY6HDame4CRzLpXut6s7CEmNCgAIqHi5fTQD5/erSn0NP2ysD2eO223T/uF3yvpdOr46YW2wm6TQGddFKvPmoTXz5ikvKY2ajmeV++Bd5VExfCNZFNvqibsNRmW8jVaKP5G2K1b7tAsX5RZLtoZYajxqpqO7OshiZBKJ19bWOj1Pv06vbQsoH8od3dWK9BnejIKTqgs5JmdqfLTfSajTTMAe/9SE5Kn2XJF4gKKIyzRqhXFRaXUACoV/s0rDQVADoHRz1929xlVirla9AEiI5T3nTI3l/ODc8wJmyv3ailq+qUiFCGuxjVh+GOxCVpm3fulQhLLXXhisrTrSAR3GOTbBMzjO6cZld9DLf8aQP5f8tTGKL7+5GYAwX0yPd8/mvMfGSypPEz3ACOZDuQUlOr6JawGKAAqMt/5znfQ2tqK1tZWPPHEE+UuTtEJUwPI3pg2xSunmcrC2YpP/OQ6vbCepTj5/uEBhVFRXB2+Akh42Bc7g7norgnvOrITx2g4r9MhvanPz9jpdNEzjZAEQJU6UbTV6mtqqRYUFlyENBK/E6aoFrlf+semgu/e3lp4tZYAyNI7Wfe7GbQA/PKV3GmdvUkyqRuvrJ0LG5kGkCy/vzlOzlWYak2kUvIbrvzXZsQjwDf30d/IWRYw3dB5b5gUo/9qaaYpvg+ySM9i8FDz2+M4ZLK/U3NdwZ1fuUFEsTFUYSH/+ne2uW+jSx3pyEYUSAfxBQbkBNwqZ+1hUmyB2eJu7yAU4wGvjaiq38wVTCV1NKuv8/C9ZTKulyrkunLcc7nWZGP/kIYPGi/8ClRVwi2bdZmDIjcBUFjvQTaPBNlF9TbmpD5hzFF+U3ATqJvW3UhSfl+5tZJLSeXsrKuQ559/HldeeSUaGryd61YLphtxN/YMISRu2MSs3NRQqZt/IL3IiEYKpzFTXzlOolZ+yHLdRWHEAqIhtQ17QWDlfRdO2jZ+Ny0HT/K3mQr7BHdiff4xjZtPAaUAyHJ/v6WMAiYvgCJdxyUykwsnfjVBnEXws0nyuke2QBl17F5l7+CLgiDNzRzAdEEXsdIFlpU7lTJrDxELaC6jgL8Ym1odcwpVcwtD/mMi2EimUkoNwHKT1gDSr5CIZbagLZuav8J89uHVegJbkbTD0kKz9GJo1ZUt4MM4w+9odvuhHdm/dc13XcthKDwNgu79Ki0ZufAk/aXJniI8AYr5PbJb3NJxiwJmmg8APH1Kd8E1ov+1IHOLc00VlGwaBoVqjluuTv5N9wC2f8vtSeDjhAKgIjEyMoILL7wQCxYswLJly8pdnJJRjJOESlp3RCOFY5aOUz8n5YqW5rbX0imS8/3qPrkF4LevqR0lmxCx0pOnWBZT9U+vjYVfDaDrlrZhJ40w0PllCb89xBwJukWgUy7AoK6HFAQVbZ9T6LMb9LTlVKhyFTV+3J5BxLcGkKI/mLxPr82ac2FjWcCohglYXh4uu10jH0Cp3KJBluKo4emp7vspFsUKX+7FiEoAFEL+Js/kHEeLgW8TMMNymY6jpfKV5IZY3ud9jocybcxiCDYryby9kon43FWJbSEMYZvJuC6OAWu2mjv310ZRJtkhhP2NSXWGMn76TMfLB1A2/VT+vyJBxuKpjbl15+PvpIXJz/fn/HYFOSQNw+djsdm900yDsCNjyyYzsQe2Dz9AFAAViW9+85t48cUXcd111yEaDW6XOl4ohS16OYlauQHQHh9e7A+2kS0GWf9EjtfhJijRtT9euSm3QNBdFIbt7d85SRubgHn8HmTTYrxxscKfVJ2TmpuMUnyfzjRUmyTx1Nlv2R98K5i6tla+GWFh0XwAOT6bLhpqIt5lcy6OLYR7Gm/qA0gWccwv5Z4timEGpLPQHh5L4UCJtmAYwhiT95JM+Vfp127rAcwrzUzALPz9Xf25uJwmYDL8hp6WmYBt1HA0bIofrZRrFrdqX1uuQ7Gw8VqKqGpRfPww2qbJoZioITpcYklfVLH+2TicroVSajIBaTcPfvqimxmbiKsPII18dF6rbE8SxHQrTwPIJZn/2lXPX6tfH0Bu17fWmm0CLpqfDqxh31VBnkZKxnb4yMXnySefxLe+9S1cdtllmDNnTrmLU1LCPE0M6mS2GESt8S3iCmqi53z2lzVDwzprTbb50SWCwkWvcRQwjet1knRugizN+/yUxwRnP2xxOm8SeE5x8mxBLeATTX3KtXBX5SszAfPCdxh4x+dsGHjN+/9r12bPvGVtu8AHkEeG9S6+vUw2Cil4LxpMmkO5N31l0wBKyqNJhlEdJvu3sQAaQMXeJlqGx0mmbamcGi25ABK5QvudmsPwx6aDH6HzuXOqz/3B4R6RpvxutMW75rXFce5O9b7SyZXDX96y2xZ1ums1BxnHYxFLev8z69PrklD8ohnwgwPafK7hJFpMLgnJupP9XTGEEUFrUTzwa1SsJ3SDvfg5PAx7uLb3QiqNn+1AAQiVafw9jhkaGsqafn30ox81vn9wMBwzmXKRHAtPfXQsk9bIyEjF1EtqdATDmdO1sbEkBgcHkUqan9cMDeW0H/yGf3Ui1lEylZLWWWpEfUI6PDyEwUH39zc6Yu6nAACGhnJlOagnjlv2a0DvL/xpgFgARkfH8iePpFm7G3GpBwAYHh7Jtj+vdLZszTkBHhoaMjYtSKVSee1BxG+7txxlOGxiFA++pSwAkpI2nEwmMayop1QKGBkZxeDgIIbL5BxCNtZs27YNKWFnlxxLIplMYsyjjCOjfkMcpxCzchpWdr/T7dM1qVHPhcbI0CCSwmp+VFLW0VH3tjq3JYIn3pX/FknK37Gs7Q2P5CJ4yNpMuiz64/Xw0BCShn03TLYVYV5JarSlwTF5nxv1GJd0GBnVT2MsmURqzF/bH/Noc7nyjPoax8bGRjE8rD/fDCvGUOX1I8UPa54cK3zHI6OjGBpJdyJxHvLTD1LJJEbHxpBSzPdhMqL5vkVMyjRi8K6LjVu54x4jtgWPd6G4fXg4135HR4bxlV0T+NFL7pHs3EgZrMWTwhgga4dhrVFHJX1uZGhQOpePjI4ZzaVp8q/10ycaMOJLWOLcBwwODmJ4qPC5hobS62zZc63dku4DIy5bCtVcLz6rrPxjPsd5IL0etizBfE3RiJOac09yLP1uTca8VEq+9rExfdfDQ0MYHLMwOpwucyqThj0HpwCj+acSSCTMAu1QABQyX/va17By5Uo8+OCDvky/3nrrLa2NZ2WRO6nYtm0rwmpWW7dsARBDf38/+vrWFuRVDjasX4e3R5MA6jA4OIi+vo0YHqoFYPauV7/9NoC0R/uxsSTCOMPr6+vD9xdEcMEzCUSSo+jr6wNSdXlpr3n3HQDyQWLN6tVo2GQP7PJ6fmfN6my5TXhz1apsmqmRbVj95kZlHl4kk6MY2DIMC1HYz7ZtywAAfafhb63dAEBtM3zTcxsxJZGCV1t+d+1aDGwA7Dp56603MTqSgMl57sjICN4W2oNIX18f/NTT6MgQxDa5ZeMGAPKTy7HREQwNpuBsww+8PYIjWgak940lk9i0Md0v0w6JS98vBzZvhvOdH/n7dzE8asGu/61bt2BwyMLGUcCtj/Zv3FSQlg6jo6OZU/x0OxxLpjLvDNCpk/7+fiSTcbj1/zdXrco7SdzYH4Oz7W7a5F7+LQMDaI3F0D9amM/W/vWQvWNZ29u4cWOm36UXhbJ2vmHDevT1jRXcK+PNVaswOGg+fobFW2/J+10QNm/aCLexBQBGM4cHzudet+5dqMZnXfr7vfO3GR4dxcDmIfhp+5sHCvufjI2bNqGvbx1Mx4hNmzbhndgYdOvj7dVm73KjR58Jg61b02sYkYGBAayLJgHUon9Dbh7aMmA2hwFpocHmzdswOhJFX18f9m2rxcMbitOXNm8pfBYvTOavNav9rS2Kwf+9uAqqsmz1WOOmksnsHHBkVw3ufTf/2vQBUeE4/LYwFr2zdh1WpfTGUBVbNPsnkD9mydrh0PAwXMdoxTM52bixH86x6a1Vq7BlIF6Q58CWLejr24DkmP56Ki0gyF3rZ/3U19eHZNJsDQfYh5y5Ourr68PqbRac7ejBl99BY/cYko61OQBs2dQPr7F7i6If5tYdQEqStmy9pMu6DethoQaAhVQyCZX75A1r9eav9ZvT73bbthrojimpVBIb+/uhqh/Td/3WqlVIRIF3NkcAJIBUeu22YX0U9npozZo12umVm2g0ipkzZxrdQwFQiDz++OO49tpr8alPfQo777yzrzQmTZoUcqlKwbrsXw319QDCkZo2NjQAGEJrayt6e+1BdJ3bLUY0xS1sVnnjFNh3QgwPv5OWPHd3dWByRxzABtQmEujtnYDEfzYis8PUZuLEiQD6AQDRaETtFdSA3t5exDrGgGf60VpXg97eLljWurxDkQldEwAUhtkGgIk9PejNOjCW1/PEnh4AG83LNmUKgPUAgIa6evT2divz8CIei6GhIY7I2tyJWUtTEwD9E4AXRxoAqE8rnt4cxY4dNcC77m25s7MT7fU1wBMbAACTJ01G/KVNAPSFuPF4HJMmtsNuDyK9vb3wU091tbUAcm2ys70dwBbptbXxOBK1FiAx5+vo7ABQGG42Eolk+2U6wth64zIGpUnyzp/aFMVOLVHY9d/Y0IB4cgyPrnXvn42G7cemJhZDSvTYYFmZdwbovLf2tlakXtvqqm88dWpv3ue2LduA1/JPhpubmwFsg4rGxkZE1g9DltGU7k7gpc0F38vaXlNLCyL96fYQi8cha+cd7e3o7U0U3Cujd8oU1L68CWJbLSUbGyYAKHx2FXNbonhho3vfbmttBV53P7mPRCKoS9TAOQZN6OoyKo+MppYWuLWFvHJEY2htaQBW6V0v0tio12eamprQ29sA03GspaUZ3d010J1vJglzqg63vln8KKP19ek1jMj/ro5j6bQGAFvQ3t4GrEyPy81NjYBhGOva2lo0NEZRs20Uvb1duKRmBA8/IJ/fg1LnY21nMn/1+FxbFIO1tV2QzXsAUF/nXg/RaCQ7B+w1sA33vps/Fli24yYHkybl2m9bewem9tYgyLza0twEvKU3p7UKY8ZrI3VwjsfRWBxunokiimcqyKe1FUB+fUyd2ovmtVvgHEvq6tPrxMg/N7jmLVITi+Vd62f91Nvbi5hBnjb1iQTE8by3txejm8fgHJNuW1OPC/dslZarUxgPVDQ0FI4pdn42kci6gqm5ubkJeNOflmBbWzsi1haMpdLtO5UEgBSOmhLHH1blnrlnwgTgOe/x53fvxPCDQ7pR/+omuK3D87AsafuxMX3XU6ZMQV3Mwrp1owA2IpVZu7WPDAIvb0EKQHd3N2pqzJxLjycoAAqJ0dFRXHjhhZg3bx4uueQS3+mYqnBVGrEQHV5HY+m0YvF4UepF17R4SlMcyAiAEjU1SCTSA0IkEkEikUAkMgDTDUwikTtxT9sOBxcAJRIJ1GVUKhtrotI6S9SqB7Pa2lokEu6L4vqEP989dXW5skSikUDvMxaxEIna2j/perPbii6RSBReE8+vXvNe7MbicVjxXJ0mErXGNutRy8prDyJ+6ykezT+9isfV7zUWjSCicBgQi6nbSzweQyKRQKxMzjTiMfn0JdZ/LBaFZXkv5KJRf1NhJBJBUlgoDifN3lksHvf0Q+NMLx4vHGu8tE1jsRhgjcA5zvx9+QS8tlku0JA9RzQazZ6LqkLLxw3G6/q6BKyIfKNVCs78i5mwZWJDzFMAVBvXa0sRSbig2hAWmxGDtpyCpexHXuhqOMdiMV/jWDwWc52vnNQZzE1TGqJYtaX4mtYxxbz0+1XpPiyOy+n3YCYAikQiiEZjiESSSCQSqK0por+UiPnazuS919b69wsYNm7zZSTqrhkSsazsc8fj+uaYYl3F4nHU1QXThtIdhwCgJh6HLQD6x7rC+SXpGOsXd9fg0TXC+kiz2cUkY00ikUA0WiiYiETSa1jVPCMjGolAFNz4GXfSa3rzfhRztItEIoHEcGFdWpn2IZv24zFvobRqTBGf1ZJ4P6zxOc47yyUGOmmujUFcR9cl9Mfr9HvfAl0BUApW5tBJnZ4J9XUJ1EYtJGrT7TiVSqdRE8/NCzU1NeN+T+4GnUCHxMDAAFauXIlnnnkGXV1daG1tzf532223AQAOO+wwtLa24p577ilzaYtImE6gw0sqEHkbykhlO4FurrHQGLPwvh3TqpDOsrrNpTrP5ddhaJh1FoHEYZuhDCLM8oyKCiA+0wi7TUUdL8rrvS9ol0+sKltvUeG7XP0hTCfQQaKABZF/+RH9+q1v2bvcocVMC+JXrw1hYMxOLzhB2s5CRZstJlrO44Vrbtq/TXrN5pGUNK1SRwGr6DDwRby+MZ67evmM8pkdiWV+bbO5Fpw9fmTH4iK+S4aBT+O11hBfgclhkHhlGHUdM+jYXpc6n/mqvVtcfzdFVk1+5uSw2r+fjbHUqb/Lc0mjgBWx/4ppT2kwE+amkPNLtGEoV/KZzflCJZdYE/IyGVw7lpIHTvCLasy03Tb9a2P1i0eoARQStbW1OOuss6S/PfLII1i5ciWOOuoodHZ2YurUqSUuXekYT11GdzBZIYSrfvydoQJP977Ct5rfokV9LIK+MycqT03c3o9WGHifJQ9VAGRZWDc4hmQoW9BgpFKpjAmUQAVICJ2Ro9yKFLGALy1qwV4TanDugxvyfnOPApZOtdyRnJyIi1ELwAsbvDdWfhfcQVtgqarOTVBl8gwPrRmFvWxQLfpNnknTckDKJQsbC9prsdETkueuUkU7VPkkD6M9mLTlJFJFjwLmd3O4dVQuJFNhAWiIWdgy6p2hWKZjpyXw61fNTeDCQHy+P63yFxShdFHAijvfVtI0EmROE+81GguFv8MQALkE/izA69JiCf9aMxprwxJlPDtPk2YXVhvytabXvCfl8lxhlV96uCCk/pVFLXjfg/rmhc7DIzulZke4srltxTuUkfjTD4RdR/Z8bT/haKbhvTtcSSNScaAAKCTq6upw7bXXSn+78MILsXLlSlx66aVYtGhRiUtWWkzUNT3TCi0lORuH9WaWN7fmZqc3t4zlwgZmvvNTzqEiRk5yeweyn5Z01+CRNcPF1QCyzPJxY3AshT/6XCwHZffOOP65Nl9lVXyVvpq/5a8N1UUtbFO0I+eCzu0kMmoB8YiF2RJtEFUrHRhNYWvmSKhsGkCK7/M0gCxobQhNI7fZbBjKX5V0JcxE4OJrWTY1gaOmJvDhh/rd75F8p1N6P484uyWG/xj6NzPdtI8ndMY/sQWYjgc66cvGoDwM3vPbW5O+D22KHfzvn2uHcfJMfe0cy7Jw+g71uOlFdx8aToos15AS1jIpLUDNCcqK2Z/C3oCFzbTGKF4fKL5ZnxeW4m/P+4SL/c5HInGDxZpXe9zo8FHpXGPqltZ531f2SmsS9Q9LopB6RJySpq99ZfjpyO6RvQL7eYqpASRNRhRMZv4+YGIt/vK291ra2RyPmVaHn7+8FTUORaIWE6mjIWHPNxHHvzblP1YuHeNJYYOMA8bbgt6UfbprQ3nGMkXOlmIi1PE7QVkAPjSv0d/NDmTCM1V1fnffVun3E+rC8VXVP5wKfDpmwZ/gdGGHi58CpwmYW/4uP7o9263/2Zq536zsPzigDbt3Bj8p0hEA6U5wft/h7Jb8M5TDpvi3Fz9+eh2Onea94ZVV9+PvePur8vOIe3apbfpV6ZltevyPpmXZuGtcI3Y9134n/c49h2dO6cYX92xxvcZUM9LUZ5nNDzQFLX5fk2m50uOo3rUvCUJNv+Wb2RR8DgljLVEKMz6g+GuWoJvfStFEFdutrEwpAIdMdvd3FIasLR6iBtCqLe4l8jt/7j9RXQ++hGBCff/wgDYfJcok40sCVHiT9LAmK9gqHvK5JYetIa6r1ee86rv7tuKNMyYaCRllmNSzXpw587ydZQhysD/eoACIhEqYk7Aqrf16yueVff+JtTkNII+xs6NW3b3KJQCSn1JkTHk0hjz/GkDh+U6SLqoU9Tm9qVDJ8aq9W1DrY+0+vz2Ojy5oyvvuc//cklUZBfxPGmFPNgUmYJba7ttWDZZVofidU9jhty3EIlbgDcuC9rixPxY3/C646xxG79csaTW631k8nfWY7JEeERxyPveeHul9fsYct/ekWvSXauFUzCH0tdMnyn/QaFAFJqEGeCXv1XdePX2isWCs2MID57gh41qJoN5UMG5Z/p7F79u675gun3eGq6mQFNIr5qsMQyulmFTiZkb1PnaU9Anx2nBMwMLTACoW0ezas5CkD0GJmM40ydpPFz9CcS+hi439PKX2qRUTOoi9PtQtw+uOQBGxiIXmmohRG5NRTiGLnbfzEexhjgIgEgo33HAD+vv7q978CyjceAZBltT6903CXUd2hpeJJvaJjYXCcqke2U19fbRMHhUbJMdC2cWjoXmDKSqJuykm61C5Cq4//vewDkx3nPo+vX4Mn3psY/azv4Mjy1eduN3ibF4RADcJJ2JzW3OLI7uOUpKKFdNx/uy3LVjw70vK5v07Nag1gPJ8AMmveuW0fCGJ372NM/VawwHQj78Ir+saFJ4YVRs4t2d3e8eq9Ey1evzW/eLu4kUNalUI73WeTNTGMtcAcifqIeSwYD6+FVMAdM3iVpw5u95XGSKWoTaZIh0vwur7st+U12T6SChOv0vkA6jYZtdBn8GvJlsxUZVIVlTxuzBkbTWKuai3sfAgSByzdRwEO9cK/rX81L9dsWezcXricwRpDeEdVhamVIqlv6x9RYUv7b6iW5brnpNH6gxq8VXOLmu/G5UJWCm0KssNBUAkVMLoMzu3qiX3EcsK1c+QLlmpsLAozaoKKorjVsxSaQA5yyCL9mTiPyDIIiust2ZSdbWSUXws5W/Bonr0v2mY3+hiot3m9gwT6vKHdmfZ2xMRNGUi4Th9Wom4nfqG5SjTD39aVRg2Nkg+fhdlQdu0H704r2dS/R62BpCGayUt/CbT7qJhWSx03pboFsp0rvIy24hqCEVM23Ixa/Gcneq16kA2r5gKgGIRf4LlYkzFpVyipIT8KlAGUjJkY9XNB7ThT8vMDwydSc11WZMW3CvcLD2ASsnbqfhNGL5UYookZGsi09ycfcZvs7Pzld0/KSOI8usEOsgGPjQBkOS7FOSHbcXOV8SWDe41IZg1RTzME38NijG+OdOsdE3HMKEAiISK26B72a5N6h9FKnARI9qFOhe0foo7TXIKUwy0hDoG6fmZVO0TpbBO6NYO6hvsdNUVPl2yiEcwfoSTz64fEbSwwqmjNscC0pmqM1KW87vsdS55DPn0tykKUf2STKXww5fkPkhEp5HqE9j8X0wcTean4+u2LH40Ab2yVP0+qug2biVwy0tl6hSkSsLwDVVMdN73WACT0L09FuRRy90EzE9UtWIJDdpqLe0x/1VJCPQIzMpW49O01KS+fn2InlaC3z5qiq3xVYFLJmMC+wCSfHfAxNpQIhMdbuDbTSyHyeGg+NXx0/37krNR+WeRRogyrPuwtOaiLhIgN9N03fS9UJrFayT05Mnd3uWRCQABnPbndAQumal+KGTSUe0z7D5x9NQEJtX7FwOYhn33ohxaN05hLH0AEeITtwXf4VMSRlomuY1p+SWyolqgbrncnrU9EZ4AaJ8JNThDQ81ehcnpYRAV+2IOqOKb+C9B0CjLs+jOLEt0z7vb1BIYp/q323tzO8QphqwsLUQNno4qip9MuOVFuTSARB9VfjbvMlTv2k/aIy43jSgESkEiHB7Ra7DRKsMKTZXl4u6c4Eb38Z3lP3RybVYwOUehcRCNuM+xFsrjHFuGSTk2S6IAmc41iahPAZBBOee35uZt12ib2Wvc0wusQWhZGROw/DXT9ojq3Ye9yfFqLnkCIIM3kme+FMLgplIikqUs1p1Of3BeotuFnNe5aQBlTdM10wby+5tXFT54bBf+eZJciKNT/U7/krJbpBpAKeDevrQGs0pLKyymKARAkxui6D93Mvbprg20xpvTGky46uwfXtVRjPGt4F2nFN9XIRQAkVDxalBf1LDrtfvdmm3pRaFqo1FK3IQY5R4nLprfiOuXtvm+36T8fjQ+be2KnKlZ+DUmzmGdHqYhYylgaY+5/xCdUvt9Mj9hfAcEG5x6x1GM0xeN26ZR95Ter5aMPM+ACWiW+baXt8pvd3z2vQgKuErwswAs9qZSZIaLI01Vna3cZBY2XqRShBcqdARAumOk81nt2+48vAN/XCZ3MOxlAmZZelHATjEIr+6XfoWAVobcJ4rZTBGPyMeVH3hEAzJpcrpjpe6wEMZGXzQB88OndDWzi0wxpgTLCmcjp5PGwZNqC66VCgAU34eNSgNI5W/LBOfYpTt/OrWv7f4ku93PGsFS/C2jJmop/ST5OsTz0OqyEesu6rjJT76/OqwDPzu4XfqbM30ZQbZXzTXBWvIWx+auLBpAjjzvezPt6+ylgeoXj1T/E5KS8qiLPxQLwDyJDxrZdUDOPMJtE1IqchpAOYe9nidBJRrMgnbinBNg72uDPFKpBnevU6CxVCpvw1YJ6J4Yy+5x/g3IT/9USfuJ9BQEC+rFaRhsEQRjA5qOavwugoL2PXGBltbeyC/vLQcVLuy8tsWyTarf2nYTZtQpftwo0ebQxS3svBMLKHk/djbbp0/pxsun9eCht3Pz3nf3zQkc3PrzY+/mz5X2tQdNTih9gMQUJmCNggDYbkJu5nSVdrqp8omiW85ZzVFYliVNR7XJszHRMNZ12q5bvY3xwitbDTZVFtJC7jUZbVA/r9UZyTAMdumI4ykNE5kweE9GmKmc33zUyhsDau1aVWoHZQKFvCZETFKagBmk6xdVhCapto3wrc5Bj99lgVM70i6ibJ3hSwAk3BPIX2VYUcAkX4r1W2ACZpxrOsrismn5An07HTF91TgX5NBFR8BkIxvXZmlEiCw2zlK92D8CAHhrsMImySJAARAJlWfXj7j+rhMi1x5T7MkiGkIrDXriaQ+eMv8lqicy1XQ5ysD8QcTLJ4QX9iXFPnwv1XDqlc9YymeYzxI8gN8sCgRAEhMw8f2Kp5BuqtZuiwO/9WFZgGTfExq25qAJvn0aBHwOpwaQc+PvjDoHeLcR49Ncl57vNbZ0JQoH5yAam4ca+NoAvH3mhI34vv9nvzZMbYyhMxHF44IwZ5LDr4TKsfMWN/s6BSoNoJnN6YW0hdxmyu3drXLZ4JYKse3Iyqrj8NrmU7umNYt1T+FFjDSANK/T1dKzo4uK/GlZF35zRIdWPusyHsdtocOrm83ea29jtChad601EeMw3H6H0lwwDoXAw0fCX/nnJs/8nOzUIgmwobjWrUy2JlFQahReBrx8ANnP1+wySTuX8W7X5t2nyHdSvXqe8+sEOsjUvCnAIYaIVANI+LvQB5B5qWXybZkASEWQ7m+y1tA5mPKq9mIsG53Fssf4CjA8KToUAJGSYVl6jmPtQcU+vA/jgOqG/dq8L3IhqwGE3IAR9rrptkP1Fn1OgjpXtiedYnu/txz/horo90U8BZJcmkwFWGx6VFFa5bw0wiXxFudEfKziREhEbNOA/BTOGU0sLEodPcILv20/6FM4x7ZoxMKH5zXm0ldERypmmURUjqOB/L4gbuZNHVsHGXY+v7u7SfHF8xtdfzdFFOrrLH4tl+ucp+E67y1iKSILCWnYr8ztdPaRNeFFLvSLKPyQCoAi+m3Z1iiUpWOh0ERWxMwETO863TYt04Q0cZLvNKkZMJS+xq3iHPyU0pLTrgKlBlCJphqZNtegxCGYlwlYWAdNCQPzJjFPMeKtCuehQZNX+MIMY472ao9RsvZiufymIk8AFKAee0MK0qKKAmdjokGjIubSwHWWWUG0vE2WcXLTw8paBwK5d1LEWDEVAwVApKQcqaHlYg8JY5mR0m2A0yVoGrlTJhMNoNIQtHrs05sBHyfSJpRqrBc3aU0SU4qxVMq1LD86MJiw0A/2RmCeQcQSt2docGx4LEjarUNTQPb2j54aPBqJEwve4a6LTWHoT5/pBCxHVOi82RNPj/S9+nuYEV1GPXay9q/i5ies8PBeWFZ+/YWevsd3OjmHPeZZluXufNgCTt8hHRBghwpQr5fxud2b8erpE3H+XEHQKbnORIPWHk+kAiAL+PreLcp7Tfq+aXPzutzlTWql7yy6aXsLy/G8Ez8Cdb99xS0n2bxXLGSb4ZtekEeqdHvWsMo7oU4uxNA9oHK7yq/QXmUC5oaRBpB4+BdgnmwOaYHidvAG+LNucKYpa3e2GFhHwCLTAJ6dmTvOm9vgeq+JAEslnC83zjJMy2hdz2+qfh0gCoBIybBQ6JxWhj1Q7NKR3gzLzCBM+NVhHdn8/SI6gVZtpMuF62mSxv0fmteI3Trj2FEReUbEz4YrdzpdvOFetWmW5TiWdK8X5cJJoxx+n7ClJoK7j+zEp3YrdMjZf+5k77yED8+e0o0Gx2mkq9ZAZhJ3ns6Jv8kIYjZVTB9AfvA71ZtuWj7n0FiRDYfigsyPw07p7z6r2yvKh1OImL7HTPBQqQdt9jOptIx0zWtll+0m88+j2ZhkizZxjN2tswb9505GS0AHncXiE7s0oa024umrLWLp96/JGbM71YJW1Wcu30MvrHs2HaOr1XgJAHSfO+gptQWrKOuXUvZpryijpZpqZJttlQDdeeX9x3RlhWZhFVeVjtf0IB52qjARPM5qjuKYzEGSHwGQX1Q+kLJ5u/zmJziDmxaT6rp3BHN1C3r+yJxXSLdUqfzf9utRm0rLsvzuvq348qJmfGPvFtd5xKSepO3Oh8A6bJxJ2tHdlraX30y62FAARErOhvdNcv3d7pBH9dbh1dMnYrbEttoEOxRikMEj5wRa/ZuTUmm8uKm36zCzOYb/O3YC6j1G898f1al0TqpDMetD1EDwdgKd/x6d73SRiyPaYj7DfhNr0Whw8pRnjpL5t6cugimNMcQjFi5ZIJoSFd7v9BVSqvMOC1ZgAVBQH0JhCXFNH8NpUpcnrLQKyyLXAHLP1LRqZI/+zX3SGhPHT1f7TksJoirxJPDjC82iCslMJ3Qo9vBqv9sZTWLob/P8ZYLvnQJo57j6ZfKRXhiRqPzgJaiPWPrPs2tnTeaewjssqBe6KZj1fbHuTattmsSsxGSTLuOljfkR90wPWYq1Afcznvotih31zsThchBUjxbEPHDPrhotwYsJRgElhGtzpuEuhz/Ozy7vO2ZZ+OkhHeg/d3KBZpgtoAhLCCmm47WUcntffkyzZMJYWSoqoa3f9y47lM3OyxHgrbMm4tdHdCrbrez7xd21uHh+k2ckRpnw6e4jO6XXSsd4l7RLhXP+E82pq51KqH+yneG14BQXcW0eIb11sIUWYXRo8XTOnmxkA2giWroBxC0SThCBjZMlPkKnA4UndGHvNybVR3DZrs347r6tefk4/7ZJIpX3/QmOTa5b1JgFHlHsTPw3hInU+WneZtUxyaVyC2fdRViYJ8VBNay/tbg1lHLY+DcBC/a2Pf35SH53U6I8ojehHF8v27UJh0/R68OnZsyIdBFzNNUS/J+A/tl0+clB7VjUpX+YYD+GzEzP+fdnJJp7zmu80BYoyQ4hUoWb4CDOuCuBCMz71xaJ0yq3+SaZ0tNWOX5qDQ7tHNU3n5Fc9tQpPbnfXa4LMqaY3hmxcqb2YVIODSAVYQg48zRkFPmFJUwLI5lfHNrhWwMo61PJTQPI4AWLlxZqAHk/rUlbEq/11AByydvPu9Qt59rBcAdmqQlYVgPIQn0s4nrgpuPXUv1b4Y/7TZSvMbzWqEH4pU//qUBhf0hK5tJqhQIgUnHYY1UYHbAuamFiJsJAkORypg6WdDPtZHF3OJEcvDhvboPrAuePy7oKvvvdUZ1476yc0COMej5ztnrDOKaxoFCxa4f3hu3qfVpRF8upsnud0qdS+ZP/9/fX24BaCF/7opiIZZnUEC1Q83YK5kqnAeS9OJMharp1S6KGGJXBkX3ScMty5+EdeOzECYHft6w9BfEB9AuXhdCnd2vG90IUtuSVM0BFdClMLsNALNbx0+uwbKp+NEj7BFxMQxYtBwD2d1n0SgU2smsV5Xjn7HyNWeei7SrBv42Yxi9XblWkWBm4CagzXxq3q28/PSBJxm3zk9IS/n58fh2unJPvONutaF6bqje3uJsXlM5fXnEEhaYypSkNUd+CL7cT+2JUoyqSbVABkK11EnRuA9IHASrNSrnQsRC35/ErlBGrLqoYSwvv18vNcqTjdpAHyJ/P1tL751pzJ/ky8y0jLSyoHXe7IdNWygmAvO/3ql3dfnn/MYV7DRFRo6wnowkdhk+1V0+fiMN9RlCWkd3rhZZi5bI9PCOpEHQHQz8Bgh4+foL0+2mC+r5zsOk2iHAkTlx2MpXgfNBLk2K6JBTrvj212FfQ5pGV84cHhLdRtO3g7aL2D+mvOGd7mEq8fFoPlmUiXskWgirTJ/vr5prg5khOyiEEkqlr24LBj85vlGou5cwa09eVKuqBZfmzsd+xiE5tTZ+9tzGKnVrj5jbsjs95JiWZX8V1pNQHkFmW0nzDut4WypVjIeGnn5m8ZrvuVWY/oj87lclAGH7PnEmL5YlZwAU7y009Nw5XqnelNPkC6cKyhhEhx5mPk5Qi74I0fJZFddeT60aUvwfRIvUzHplG7dPBJMnDp9TisRPl67ew8woDVcQr3YhGquK21kZw2yHtuHKvFsUVetib646EXJAkd5Se+9LLpxJQWOdvbtXzlzImWUd7oStMjFhmJmDO/JviFp5Y3g0AeG2zuf8XXRMwt/LMaPZe4zjTlK2l7DFNp0l6agB5JwEA6G1wF1zaZYlZwF+Om2CUthtBrUScdWTP6xUWqLYoUABEQqU9BJMteyI16X8T6+X5fkgIqeyc+Ew2lPaAKnNMKRs/xby8zIaCYLLBeOm9ORX0MQ8ZzByDaFTpcqhxagDNDSnSFQB0CoscuQaQXMPCz3peZxNQyjmjSXDO53aqJ1tUpFKFp0Q6Dgi90JWl+dEACvNU3JnU3a8PGt5vPkbJ8PIpJj+Z9Z+r7E7Za9ddOF6bMbtMuPgh+9biYBuaMFk0QW0u68R+IlVT7Urk5hzTxaLcYah7OWzE9+9Mx60Yx07zPiX91K5m/puCII6nsrHVxAeQzcXzG70vEtD1AdRea1aSoCOpbwGQ6fVWkTSADGqgtTaChnjE9/getu8cNz6zW5MycpNsDDAt0lFT69AQ0D7a63VKhY7C327+Lp3X6CD2r7N3rHcdK4P4sxxL5QSrgI4JWP7nmoil1BrSiQzrNG8DzNvkbp01ri4dZMgDSdi/eRfAUwMohH7VUxfB+ZmIYrt1xrNabu8GMIf77REduMbAFcBRCi0h5+N9eVELvrJ7PSbWVvYBShhQAERCZR+XwUt3HPEjeZUtIPvPnYyzd8yFMdQRlkQtuTBJXGQ4U5GqfiI3cO6gIdX3i0lViarFYnQKWRrvbAvPA74tbJJFDPLCZIDSNatIm4C53BQQP9otpnx5UTM+tsB9s+bqLNYqXDiHURU66zcL5Q8DHxbB1f4Lv/N6DyZ5OheTurfqCpY7Ncy3jtYwuzpuWgK3HNSulaeNn4Xp0p5aXLpQT0gg1QDK+90quNaJqohGoY1dPqcc/7pVyQfn5J773J3yTXZ/dGAbPragEZ/azSwqVhDynkNSITHJYYsXbwyMFnznlkb/kLfx511HdqJDcrAVho8U2brFQmkjV6l8dpjynpl1+OPRaQewJlo5sk3qVInD7M8q/GyVOgqr6tkqJbClxA1WHlIBkPBlVnvEJQ0zH0C5i3dqjeOZjC8sWZ4/OrAdvz68I88vnN/X6+0EWv+F7eESGMRGJjwSv7kiE3FQZXkwmnnQnT0OSJ31ITUjN1hrh6VB55bMi6dOzEZ1FtcWg6NmmYuPesCkBM6d4x6mXnVv3veOz621EXxwpzr6ACIkDBSaqEqyPoAM7tG51hnmXDZPWpBHgRLtQnU1gGxnb5WyMBCJeYxuposqN3trW9hk17eJgM9E9T6rpZV3v+y64mnqWBYwMFL8FenF85tQJ0hbvE71ZL85bZ11VL/DwLLyw8DPa0v3S1NNOZ1yHjRJ4ZvFKCfJ/T7GKPE+G9F0T7epm4wnOhodYbRWnTTcFuS3HNyB41wijoWJ7sLfvizvHeWlk/tb5fja1AeEThriZ+fiXTe/U2bmC4BOnFGPK/YsraaWTJAlomsC9mlBMCC7J30YI09rQXvcNeojUOjfaY/OOCZr+mnxp2lafBMwW1PbQtpfzHqPyKx6mef6lsmYEpWMpY2Sk4QzZss3e62ZZ5GtK/xqS9a5LFJUa6NKMRnxcuqt6wPI/RBA/w07i+P2StpqLRw8OZEXhOCIKf78u3gHm9Evl86rPWVmHT63e74AXbxvl444JtRFSrIfsOcFsRvZr+Emh89LL2093eLWeZ7+pX8X63myh9mYk/tXDRldr8P2IOhRQQEQCYTz5E4292RNulx62s2Czxm7UYbdMZ3RZqQ2u4o8ZRpAzihgeSqGloWf/ifthLOYA77fOjpDcNochnf+z++uPjm2T6SSPgQMJnWXMwFzF4wkBQ0gk4WqTlEsWPj3xsJTaBO88mmuKbziBwcWak94CVKdqt77TUxrR4hmk26Iff2uIzvx+IkTtOvTXiyfN6cB8zInXp4RsRyfddrGVwP6U/AkYN+WPkOen4TCC0z6hFMwoR3FSD8LAO4CYzutMMyDZemaXuMMRex1r2jyIdafuOHzYwLmjD6oFAA5Pnu1GRWVttB1CrLeOXsSdm7LHdJErMJ6lQlexNdp+h5O26E+G0Jelz8fOwHPvbcn7730nzvZLGMPiv2uOjPmiz31tjPW4BlayLVNE60C3aAfqt+v2rsFN+3fhiWSwBt+H+tD8/KFTWPC2kX1aFI/fIprD5kcntNaJ17m/V6HRTJTeicm71dlpirLU8b1+7XhldPSWkPTm8ILGOAm5PNDW20En9gl/8BF7FdJpPc2qmed16ZnKSCW+kt7ytfddhOISSYLp3Nw+13epQrfrllNuhGHxeQ+vVsz/rRMnq+Mt7aOuc77puZz2zsUAJFAOMeyKzID0s6Cto2skT15cjeOEAQmJwsnknaaXloqIjqbIufAJ5soZcl01EZym2XJlswe0NsFnxDiNUHWVsdp+G3wQ03Uwm6dhSqZNqZFbnXZ3NmLJ1tYWFITMEleyVQuDHyp1cd1uHZpq+vvMtMvWRQit2oW68VepMQiFr6wR4vSDr9gISdctv/EWuzYqqfBYyGnATQmqGOZCkp1rlea5gRc+8kWsSb3uZUj5fG7iXPcrDBdkb8KLR9Amtf7rSsZbYa+WGR4mUjYyHzRqcZ11V7CrbTXLGnVKodTaOc2Job5fouNcwNYE7Xy5nwLhRsY6Xju9bubcLICKuLPkug5YQhk3LAPEa7au1X6+/eWtpqbZEJ+sLLEY1Mma88m03JzTQSnzKrH5/doxl8dwUD8Hr4561/076ISIMt8Ax2sEPQs6anFRwz9VekywSO4iXS9J3yl41PJ5P0UaCm6pC8rWzxioT0RRd+ZE/HoCd0GObvjXLPqHGK4YV/z30ta8dsjOgrua6uJ5JneO2nWFKCIfEThBsCuc1mKznq3r50mMbsEvJ/9/LkNuPVgnbEindEGIQhMTdTCXhP0TVDjEeDfp/bg6VPk7cB1zWv4/fYABUAkNKJW2sb3tkPaceMBuQFhIGPnKS6SpzfFlKFz738zrea3TeZVTYHOesl5yahkxJel88CxXXmnIk6fKTnhUA5x4RGkkxVzHejuJC/8jO3XabK49aMBpPLZYZNEbuEftvwnjFo7U6LqLjohNBXseFW3s45VCyHnQm5vA4e6IhbSYemBtPqxnb1pP9FpG7NC9L/ldXLqJw0vJ9AyTPqE3/FD57aL5zeiJbORdIvWF+YYZuqvYNfOQqGk7rTiFQVMFMQpBUCK71MpPWGgPM3CC1Muv0nT0MuqqHhtOi1LM4yx8D6DChOu2rsFy6YGP3QxafMyrQa/70f3PltbpUERKrytNpI9CPiwpkaoZeW272I/fc+seun1NirzyYL0PX6PR6wCM+KwNji2WZVlWdL29N19W6V+i87dSe2jJOw++J5Zdfj+/m24+yj3cNxeJmA6/sSmGJjuuB0cmdAUj2iYGRUH3TYKAOfs1IADJqXHEPtZayLA7l01iEDefoBwLQUOmZzeW02RtEmnkM2pCe5kzTb3E5Nv7NOKY6d5m2/bmvEvBdCQj1kWuuqimNooX2/4cVxeAWcAZYMCIBIIcfFl96OjptblhV+3cXbOeo/VnYmDMGdKLwgRr7LXuJzq2MjUeKc0RPMGSfuKFocpjkrwsDmATxjnZtx5KhdkPrR9cshtgMNXjUlKBDRemPiI81q42GaGp+/gviBVUc6JYrGg3u4shugcM68/Oi5sUpwwFQiAFO9+xLH7dnN2/TUP06vsSbGwETbWANJYQscVifoJz73h3MkF5gq6wsxZzVGpDxzphtWjzavqSWYeozPB++nps5oi+PD8JkxtjOGREybgwp2Lc5oNAL85ogN7dqU3dsm89u1e9x21EZw4o7Cve/nIsLHfl/iOe4TT9TwfQIqyqEoYZHQNY6NQCWtesQz2exW1giOW3vyWZwImqRxdkz8AuGDnRly3tM37QhTW4W4SYaOfdCzJd2Fja6voHCbotjdLuFZV44dNLjz0u2RB4dgR1urDfgan493azFC5a4f8nV3z9Oa8z/kaQIXXn71jg3QuKKX/x9aaCN47q97Tr4qsSGL0LBu3su/YGsd3MxEgvVBqAAnf6WgdFRu3vHvqIkpzq+z9Lt/ZTqQtSz2/h7kZv/3QDly3tFVLeJvb2+hVvl/LOROLDmXeARx7jylOjyphLiwXFACRQIhdKn9BXHits7F5deYgDjQnSjZDzmt0wzZGrHz/NZZl4cb923CDw6eQeGuTcLL293eHQ4sE5iyfjjnIJQsapf43jswstmVp6Jy0u536i9x9ZH5kEJNFkWrQliETAIl/nzyzHv3nTsY+gjAldA2gIs0mPfXRrI14VgMtU3jVqZjz253b4rheYl7mbBmqKtfRyLPLdNgUtVqv82Tf3sibmj2UcrHYo1Cr1y3DTfu3491zCv2EiBtW/dN7OQskm5l57XEs7anBhZmFoNTkzMAXmoyd2+Jaqtd+39fi7lq0ZYSXJiabKlOIhZrOxqPZdpn7ThX5y21Mm6kY+5314UxCdcruV8ulVN1FVztAtgEUnZZb0Dt5FwXWfqLqOfG7aZ+mOJX2QibI9G+6ZJq3+ntTwbxlCU6ghY46oylXL3ccXujvY0qm3sRsuiXRBWXF8PK9ZB8SiG2y/9zJWU2hk2bKNRecB0/i+s/Ib6BL3YU9f+kmJ8t3SJzbXcyHRDoT/raPQZ/7v5e0SiP1BsXVBMyylOZWuWu8v4tY5uNR1AJ+eEAbbj80d/h79T4tOG+uWrssHrFw5uyGvPFTFeTDNDqv3zVzGNFxvZJwe4YRhSITBUCE+EQ1GMiECs7O6TXghG3qUGD7KtnpyiZ4mVPh98yqR0cmvJnMaZ4zoorupPfgsfnqu173eQnRAODyPVvwyukTC76/aF4jVp05EbWSVbOOmwyvk4AfHdiGK/dqyYaZtQPuyoo8X7EpM4oCJnkPYS6y7KTmt8dxwU7+zQS+tlcL/n1qD94+yyzyih1preDE2ED7wPZJIP7mFLyo+vRBk7yfeVSxyMgvl5UXLWaLamb2IMirNb3XVnGWndYb5Wvgz0WVvo6gzA65Whe1cM9RXZjeZLY59cpB1Ua6JJuCoH0wYgH3ZcyCl/Tomx3KBGJA2vHvJI0NxOqtY+n8Hd/vkdH00HECbSGtwXTv0fkb3+a4tw7aYydOwOtnFI7bYn2auI0o1rjoRNeJvFiGZNY/nChgswo0gLx8ZkkFQIY7Ft0TbjcBXhDfcmG9G7eoe7IAAe+dJReG6BYnlcrX7LTZvctcM0o0eRa1wkxROZi2y6frT008iPrwvEZPPzvZ/LWuKj+pQvmPt1NuH2mr7jPpL+fs1KA0AXLjUIn2mV8+ltFaE310yp5Ltl5QPetfVw9Lv//yohYsn1mfp0Fz3txGXL1Pq36BxTI4+0Lm32JHsVNpY5vg1Uyc84WoFW0YcX67YLyMT6RCEQez987IDbBiX98ro/7o3Lj42fw4yYUz9b7aeYVsQLAg14Bws5OVqVA6HenqDn27dtYoHZzJ0gkyaFuWhUbFKlGsg+uWtuKREyYUXOOsiz84NjknzqjPah4AOafbJvbUJsjGd785fXxh4SbGfr0PHT8BX9y9ARNrCwUXum12Ql3U2J7dcvwrvcZjk2dJftP1AfSFPdxVoEV6XRZo6ZPiTF7IaZK5LQI/Or+xwOdQqU5ufnNEB76+t9ykTXsRrLhe5l/GKyyr0rG18Pe3Frfig3MaCkPdupTN67q8exRFFEO533NUJ76yKNdm/L6vCHJRBj84R0+48LcTJ+C7S9qkv1mWpRV+1hZkOJ2Fzsq0V9EE0S0MfGcimqd1WBsFvrxXS6EAwfG5IR6RRlYRs3rsxPRcYSpw8GMCqYuJyZCNWPyfZMycLeht0MW5SiYcTZtduFfQ+3bMmQqGMT2J/f0vx3XhuozmpVRAKrnfbxl2bssJW549pQefWCjXWnA6hweA7+/fjl8dlnZeO6MpZqwBlEL+uG6j+yj2qztoUi3aE7n+GYYPRWcZvPyeOMlGAbPSDpz/fepEPHmyt0PiSvQvIntmmYmbsy8d4PDZqftsScV8FmQMct4p02x2oiuYduO2Q9JjU09GsCCaiw6Oed/vrPvLXdZUHZl558Kd05o+xW5LfsZtE3Q0gEQNUBle05xzHhYD86gsFiohEEC5oACIBELskOfMzknDRcGE3fGdA4yXIEBn8fevk7vxn1N7fEUEkvmCEM29ROwFpNtg4box9y5eFvF0wzlJOtORhXkMAzFi2ntn1ectLLN5O+pisSQMq4gtLjEpscm12UWdeL9HGzLZODlTksnOdOYSZ5aNmoIgy/HHHpmT1YMnCSZtEp9c0jTE7xQnQjIhmC4yrTKxDPbPaR9AViZf9cv44qIWo+hXXngldZUg8GmIRbJjlVMIp1ukHVryzfdspAJlFz9Oqnuc7NlVg28ubi1o//qOht1/1+k2S3tq8eH5TUKd+Xt/EQv4+C5NePPMiThcUxtgTmscCZd+pTNufmlRC9adMylvLktB0B4Q+r9OFDDbLPgzuzWjKV7owcqrfuw8xGFnhk/TYrf3+z2NzZQbqkXlHp1xXLM4l3ZeiGShQdlCEsvK3zSoXpmXE+iExinJNUtasf59aY1M3XHG7X2J/WOXjpqsY/8/LXN30JtO17/fwN2EkPbd9VH0KiL7zG7JaLE5KvXQKQm8ccZE7CREdHSOIaqNVDKVyta/bA0lM0OX4XxdOcG4OaocTbUeZDqqvRpC5LDWhDpoj+2S76QBURyf9yo4gNHLUEcDKChnSAJnOFk76K5prKo/e1wA0tpo39i7Be/POPcWI3cNSkzk7fZ1xuy0gNlpArZzWxxfdPgWsotx68HtePqU7tAEFF79p9jCAJ2n8DIr9PII4Zzyxf79vp0a8M+TCoW226/4hwIgEpA81VHF5jPu2DzZqCZf22HffhO91f1baiLoqotqdWLnNTKXJqMp+WTvNu6obGunZCMduU/ObuYZzk2xMx2VE8OgiMIc1SChY34m4uYDSFU9JnNfTkhnVi4AWSezbhScIioahe5CF0ifAN12aIf29WI5ehtj6D93MuZKhHMiMi0T8Vmc/dB+T4dNyd9sBzFryEvHUSa7MMXW0LUXYTo0KaLjFJiHaqR14/5tUk0OQK6x4HnKpRI2lHAlo1qI6QodTbAXwA1uNi2G6MrN5U6F0/+Kv+ikZ/tC+eAc782KtCy2AChTH6JGnKkPILfiLujwnnd39BH17c/HTsC5wrNPb4ri+OnpMUYsvyjIz/MVBm8NNlnek3Q26lbOLNWvVq2bxqWNqHnWKQi6nPd4uVuTOXyXoUrm83s04ycHtUvHJXtTqzqwsX36yTDRAFp7ziSsPWdSwXXOPmeXMAUgoR98Kq88BZGPHGuRpR6mpTJfhDqazG7muuVSPJBlK3EBlL3umAnpqE0FgjnN/JzraXs8F59fpSEbJts8bIDyBMmW+LeV9/f5OzdmzfG9sCwL/edOzgqAI5aVt6Z3S6U+ZjkOg8NBlY6pD0ZTdOaoFNLm6yoTS681qFPLSFzHRaD2x7e9QgEQKQqi1Dqu0ABSNT57cDUZkPz4AJItsnbrjEt9A7kNPPaAbqe/pLsGzTWRvChhbh3t9kM78Luj1IsqN2yfLsXEWW/2mlE2B7r51jBxNnfuTunNusmUlFtE6N9lh4m+/5hCEzcnOu1HJ2fRHOGShU1ZH0le/GNtOlLHP94tjNiRzd9jEyL+3ZA5LpnnECCp1OP9CD9kpFKp7Cl7SkjHa3IPuj6pNXC4LGoNyDST7LLotOU8QYHBbyqCKP3p3up1XUFb8FGm7+/fZn5TSJhEJFEdHDiFE9J7pb7w5AciXiVy+lAQo1vJlJ1UQkwnqqvchOJuKeu2z4hl4UsZX3lzWnML86yAzcqvP1WyYluUmRnMaY3j8N6Eq9BKpJi+MMS6OX663K+Y8ztZfS5XOC92ohpT22oj2fy97nXm31wjr6C0YD/9m07shljEkmriqfw+idqiusiEDXZZgXwzTjcMYlHk5+/vNiNsf0naY7tkTBIFXEnHQVptJP3Z2S+cr661xsJREg1NlQZQkLrxM98MG7zEYo0BFgo1fHUP1sIqkiq7iAXctH8bvuwR7azY/GlZF/4l0dQBdLSY8mvJqbUmYzu2AKMAiARDdnLnxD4pKfABpOh5fkIK6/ThgoW8wgm0sQaQI/1zdspJ+4HMAO9SwLbaCPbtkQsBvEzASoHzPdkOpWWq8p/eTT15LMxoK+2neFaR+pjt20kfmRNoN356cDv+R4jkdv3SVvz3klbl9c53MbfRn/PioJouq7dpGJtDvtASNYBmZU5D3jMrXzMmuwB0PK8zlK5fkqn8k+IgKv4mmEz0iybU5Alws2kUfPZOVFx4FprBFpbPc5Fj4PRb5xp5FDD31Ew2RKq0TtHcxBYDXeEIUNhu7P4hagDoHFY4te9M2mNvYxSf2q0pk1fh7z8/tANfXpQ/9rq9I7es7d9UWmsAsNRFaG2ySZ/WFMM/lndnTSqAXP06hXQqjdO8MPCKSu1MRPH4cm+fLYB3289e5/LZ1gJ1mk6rhPEi0YgV2lgYJB3VQYDSmWveuC5oOTjavRdOIV72gEDzfpmJmjNvp3DLK+2sDyDNMmTzLcGCTce5blutuyBVHCuGM8uawqi9jrWoRFAnq0dV3XoJPsPGJNZEkTwrFJiAmWRTCh9Ap8yqx8Ve0c6KWIZUKu0+QKXtm/SQlonv7fy5DXmmrKQQCoBIILwcls5qjmZPdJwDh91ZP7d7/sL1Q/MaPcN7OvElAFJocMh9AKnTdQoe7HzyNrka5TPlMg+HacXC+Xy6zGxOmyzt2qkhlTcvljHHTKvDNMH87ozZDVnhnex1O8t0xY7DuGX/JtdrioGbKrPXZl5n0ZUVaDp+aIhHcNoOOWGRX9v0FPJ9AIkq/ibs0+3ejha5aTB4FD0Fd5Mx+/Yto96ryh7BXMNNC1K3NtuEjfmDx3ZJtT9M8BrDgyIKPJ5/T0/2+7BUzn97RAfmtRlGOZNkbZsjFVzr+GxrLfh5d2LeBWYpLvc8fXI3Lp6fLwASr5/eFMv+buOcx2SCYGn5XMpho3KKLpZPl1ktsbyxxB7eIo7VqUpbQ3Qye7JDqHj01GAasn5b6OSGKP55UndBqGap+bPju5jl7bRalyA9TGbqCKgFDuI6x4/GjB04w+lLMKcBpJfoE8u7PQW8qjlOhW8BkM/fwsrDxsuvnLgWzs4nLnOVLF+V4Pc7jkM1O39RoBtGaxcjcskYVTRKWVsJ09+gSASFJquqZy/WrKx6smIJvcLEK5qp+Azf2Kc1z0+niSBye4ECIBIIWfhIm8/v3ozbDunIOoR1OprL+TQIXg4tUwzHoC4VAFmWdPHidhrq1ACSzZ+yzfInd2nClxTqln88uhP3LesqnGSFL9y0bUpB0I2njKv3acFhQrhOIx9A9j3hFimLsyyJKLBTS7TgGq/8g07sMmeDbuT5AMr864xSJ5I9HZX89sKGEeE6f0+S1gBK55+nAeRIzulLaQ+H4NApOHYSJMqIytzAKeRd8fZQ9jdZhB8gZ2oH5As9/nVStzRqm5cj7w4hn+lNMaMTdll/svPzisAh4tckQscfiykHTErgpJn6/p1U/OQguS8uZzu4au8WfGGP5jw/BTruiQoFrfmV6Ha6KRPier2DO4/owCUL5Nq0rhtTl/b08PET8Owp3a5aB0HHX1um6hyidJxAL2zPF/rekoko5he3dYXX3DSzOVYw78veo0zAKL5bZ7P4n/3atOv41B3qcdG8RqVw0w27PZoIauU+gPTu70hE8ewp3TjfITTLBQnQx2tqMl0r2MID07Wqa/sJaaWS7a+ayYmX2cvanQQTTLtvZ01VFev0QgGQnGOm1UmvCyMsuIhX+1BpAD0qiXC7iw/fmlrLIQt5BXV8zH6nujUIXsUrltArm7/GOsOrjE5hohPnE+g8E03ACPFJngmYo/d+fJcm7Ngaz/rTGHRoLtgnALYp1nVLW6U2xDroaCM4r/jG3i0FZi0Wcguf2w9tz0YDuuXgdtzk4bPCORHn264X8tndm/ERhbrl3t21WCSxX211EUSViqwPjBAn8NcH0o4GD52cwB2HdyqFAiLOEJqi74hiYJpssTS0OlwiJXj5AGqpSWvxfG6PFuU9bRnBi8yfxpPr1P6HdBFNwMTyOV+1M/8TZuQvJE2bn6X4W4buZkP0YfH0KT3Sa8RFiFjmaU3RPK0G2UZH9j6dEdZM6sFt09FcE8EOmk4Si601ZErQLj9NES1JRlddFJcubMqbcxriEVehqki2vTuqUFeoprsh36e7FpfvqdbUsXGaQrulPq89jimN7m1kQXswtXs7Oqe9QbQFAhGFcD2/vzgELoFKUhwTDa+Ns9NMxNksTjIwnayLWfjqXi2uURlVqEzA3K63x8PXNufMlE1yntIYK2jf4vygW8cjjs5l3/fw8enNvjNghNfmfcTn2qIUe0vTPMTr7Shx58/NCYq3ZNbpTgFlQbvVFNAW5J+5Lm+4NKxf6Tjg8Q5nKeY22Xj2UYXgPChpJ9A5RI2WT+zitV4MV2DoxPT96eKMKtnqEiTF7RV+d99Wz0AQzrLpDHvbsfyHAiASDLeFis2XFjXjw/Mas6GQbezNjy2YP3N2g3FEpCAsn1mP596Tv2mzrFx55rTGcUHGH1FPfRSnzJKfMjtPC2QTpt/t0pcWNWP3jKPiWc1R7OMRaj1smiXqsY1xC4dPqVVqL/mhJjP7dNfn+/5xq7dinZQo85MkLDsVs8ss+rUQCard/3kPzZe8wiC/PqIRCzfs14YF7XHlKegFOzfiyr1aMN9jI+fXBCyJlGACllJuiANv3jxOLN3wim5oP7soj61TCABEQZZTCCWGKtctnzMSTq5Mmgk48KM5Z9KETU+ow2bPrjiWz1Bvmu84rANPKYR3ANBSq1fwVWdOxDohqpEX9qZ8WcZMSVexT9dviS4qjUK/r2v3Lm8TXzds3z+NmbnH3hipyuNXG02HYphFZPuBIu2olXumU2eVz09WNmqn5vWpVM5PXIgB+5QHaVNctAmHFW7y7LHYOeZ5NaGcBpBZgxCvL7hTI6nHTjQPTiFDdqjQWmO5+k3MRVCTX1Pgn9LSG5PsuyaGrA3qlfexHiZiYoQ+XefgpkSQv56Y2RzLft7NQ+uoWPNnNkhPEdLesyuO02frR71UrY0v3LkBZ+/onc5lu+avjWVO5kkOCoBIIPJNwOS9tzMRxVf2aimYPLMaQCU6TNYZQCPILXx0D82u2rsVTyzPTdT2beLY49dcprcxhh8emFZjP1chUCgWN+7fhl8dXiiQi1gWfnlYJxZqhAvWxV5gOdWCjdS+M/+Wcsh3ayMyDZowmGy4cPJq986f22ojuHBeY9HCgjr9/tjCFJUqtKoUbmaZUizpn1J0N5U6auz5IWWFMmSe2zZbkTmBbpOclhVqOei/J7cr0wt4vQc3cgKtf2lRuP+YCdkx1A+dmrGnI5blqhXpFITFIukQwbbfGt0oNXYWpoIPmbkhUNiPLEc/OWBiLZZ01yg3UGGbAh86pRbf3KcF78vMd14CzrkOR5+LBd9gQYcwtw2E36QLfKlINCn2m1iLM2bX48q9W0PJV7xH17wlO59qZphCTuAhrumCCoB1hTQiV+zZnBeR1OuwyKtotlmi6SOIz/z0KXpOyEV0nNja47/bPJBvkpfGVTglfDe9PoUZjRHs5jDB9nvA0hCz8JndmqTmPEG6q9d46DZVf3HPZlwvBAQpFk7tPpEg2k9BuGn/dpw3p6E4wu4Q0ti9M47P76F36GmHebfN7t205W3KvT4pJ2aeEwlxkFJ+8Ga3jjgSUbiezoaJ2NH3yZhXOTu/ZYkRIvSGhpqohdktuYk6azMd0tAyvSmG/zu2K2/h5uXwLgyc0aF08CvLsxeMTofhbpO686dymIBNdJoQCpmr7I+Dyjt1H89rcWu6wNfhk7s0KTVhbJKpnPlgCuK7VmgiKJKb1hTDF/Zoxpf+sUl+n8dnN1JIyRfFjvapc8IU9WgTzpNWkSYNlWcTH0Ay/LTHYmpdXDy/ESs3jeL3bwxq31NpB31RS32w4Szq1ozJxZ/fHCq8WON+P4hpfGCO0+dKjidP7kZrbQQNMUtZx/GIhdEQT3EiloUPzi00wYhYhWPBlXu14H075c9Tfzi6C60/ehNA8LoyEW5pj8sWHH5Acnf21EWQiFqIWBauX5rekJ62Qz1ue3mrcT4y/nr8BMxp1Vv2y5xAv29HvTVBmOODn/npowua8FHBvL5gjDRc403JmEoZ+wAS/g5ziDqyN4F7+wa10xXXArJ1gZsG0E4NSTx6bBsSCYdzbkUeQHpM+cGLW+RlsSz8l0NTw7S5SH3Zed6jrqmPOlwxmLS5M2bX42f/2ep9oSJd3Wf3EoT75YQZdQXm9WFh6udKVhdnzW7IRgXWoSaS8w+5Z1cNZjVHsXKTOnIufQARUgbaE1GsPnsy5pQoVJ89obXXRnDvsi7pNRbMNYC88gOCb/p366zJLlZWnzUJPwpwol2JZE/YHKOxm+aU85esXX8I5RGztcPKygUChd/mTtjkae8kCVNrgq7pla4PB7/1Jbvvs7s349KF7rbsSeT3rSAmLRfN07fVN3E6qVsWHVMHce0iK0JWAOTzRZhM4rLnSkk2el6sG9J/W6YCqi8vasG1+7YalMZ/G+6pixQ4DnZF87HdTtSdbBo2a/nZ/hJgUhHlNQXhnYW/pzXF0FITQSxiKTfLxRa+2f12g6TNnTSzznU8dP725pkTs35PTPI24eSZdfixy/xcYFqT+XfHlhhePHViQT1/b2kr7lvWlfWt5GecsG9JRPWfSWYe9J191VoSqvYYtHnYh3VOc3STenBeapv56849B0xMCz9MN0z5WnfqfmbKrh2FB45u6dl+OEU/SjI/fLLy6WqsWFbuHpOAAmERVuQ8wOzd6ApU7XS3OHyhqtatBSbx2fdWXomFSe5iUf1q6JsOwe+cMxkXCuvC/Xpq8/J3EpYz9vEIBUAkEG5RwCoNu5u7CXYs5MLK+l3YZlVyxftDrJxEzN3UoBL48iIz/0BjCqeN3kG2cxRDo0XENF3ZK/rJQe3YO6AfJ7diiBomY5nK26oIG59zhOmvwvw26aToy0H4e9cOuYq52yRVG7XyfC3NalZv7lprcs8ZsdyddKvGNecpnI6QWCbsEnFuBE3WsZZQFp3XKLtEd2HW6NPWx/l8OgKXjkTUbKGZ+fe/l7TiEUlUFxX/d9wEdNcbmFSGMLY4k5jWZGjSmfnXZGx0snbQ++5KORlVOQ09YkotJtSZ1V1DPAKPCOF5qBzHAurx75O7NGGGy30FmhNeAnrLwqIJNZ4bdq80ALOxJZVdB5kdOITNB+Y04OXTetCeiGKJYN73XoPIf7qHIWHfH+SdhZmuKPQTD6hkwiCbJg8Ta+evEVi+24CxBlAIabim7+Nl6ZhPrx9Sj7u6pvp+N+0hyse0Ma1GWRGLPQ9VyDRXFigAItsN9uZ4F8npiR3BxbKEKFeGI4PzxEw8Qal04VjYmPpnUcgoXCvOOaHlNrLFGdLDOLlwhjb3VQ5FQb6xdwt+c0TOZ1N7xv55g8uiwy8Xz28M5ATcFmD2bRnLPs/E+gj6z51ccO2XFrVopfngsV343tLcCbXbwsGyLHx6N3X5axSd308/zosCJvndqREQxmJYRSJm4Y7DFOHOLfdFYiSk1cIfju7Ef05VO122MakHu4qbayzs3Kav0VPKxZ8qr6Onmqnf5zbzZi1lN0HAOuRismW64P7NEZ34hIfWX1iEcaZij4ZX7+M9rtx+qFqTpyYCfHa3Jjzr8O3iVX3Z8NqeuefjFKT6waTOZCZg7mm7m/D6LbdlWVk/XD85uB1PntyN9e+bhM/ubt7mspEWsyZgyPuswo6UZ9o3xMstC/j9UZ148uRuX2mJ5Pnv0UjH9rHYlYhkb4gI471szTTXQ7NFpgH0gcxhjLF/Pp8cNKk2K/B/Z1v46xwdTF7jwEiuoU3NaCKamoAFnbSCznlGmnfGe6jC2gh61l0pBxmVCAVAJBBid/WjLl1KEjELtx/ajmuFTWLEsvDyaT349G65SCM5E7Bgz/P+jG+FnrpIUX1mlJM/Ht2ZJ3TwU2Of3KWpoH50NsOFJmD+y6CDsemVpCRhTEaqJM7fuRE7CL6obAfCo4p1kW6T/Pkh7fj24ta87768qAVdhqfvNmPJVNZBZ8QCfp6xn3eqRtscNkVPY8qygL27a/HUyXJnm7rv75aD2vPCs0rT0kopjbcGkJX3m8nGPt8HkF6pDpuS7z9MNzdTUyUbZ6ka4hHfbUeFvSGqlHHWrRjlWpCKEedqXOZq0+ItmlCDz2k66QwTvyfa7834tjtP4mfISbuLA3DLsvDJXZsLwkjrnuQ7P+vWu2VZgQQRuiQdQhIvSqFhUB+LYHpTOlS8H81Vp8mX7gYoazJmWJNOR8tLemo95xYdxDkl235cijaaAr6zpBW3HNwu9wEkucf2b2di2nd4bwL9505WHqB4YeoI+YjeRFbgf97c8IKk2OkHNdd3ImpeFo4DepLScu+y4kWcwGRNrdhCiu1ZQEQBEAmEvVk5oH0UC9rCXdS78bEFjfgvH3bGR/bWYaJD5b8zEc0KeyzL8u1M2GlKsTRje5qIWXhp46hxWccDe3fX4sBJwRxSf9YlrLmrAMixMlGZgN1/TBd+e4Rc68GLIA7K3cx9vNizK56NDuQ3DXu/NxJwV3z01LqsMDMo589twLJpddnFZTKFbN+wT8f+eHQnHjw256PL+KRccYNuOsdNr1Om4/zK7uNu5EcBK0w097u/lcjGjGDmgbf0nSbLsFCcxZCJiZpf/EbGkiFGkfJLKeRQQfI4bEotPrlLE/6+vNBcLhdVyB0j30lFwO/zf3q3ZqmmYVh4awBlrlP8W0xM6kxHSCL6QFP72Kgc7Do2NRe3lxpRSWV0OSINzRaEBm5CliD1YmoCNpJM4X07NWBxd61gAuauReR1CFfwPAEeyK/wUKz5M2Y35PlGCsK0jFD3igBazjIuXZgTOhe0RY97g2rShYWsD+jgd7wOy+eR6mCt3PVZThgFjATC7lLLJoz59iXihyv21DMLMSWtAZR+Kr9OoN3sqqudsDY+WR9APhJ0VvueXf43dOfu1IBLH+3XuvZjCxrz8tcRIKi4/xi1HxPdbmZr5Pkxr1Nx3dJW/PVtvWhFIncc1oFpjVHsmHH4bquki3Oy3d9sH0m6dbVrZxx4CejIaDzZ972zLRf5wblI1+FjCxqxaTiJPSTtx87j8j2a8Z1nBlzTEatZKhR0bACNTJ+Ev/1q6OT5O/K7EM8U3iBYR6joaAyK7NJRg7tfH8w6R7VZdebEULRjZONW2Av4s3f0L5S1LEspeNcdX+5d1olB5eBSHMSiVYiyVwFeGxa/GkBBlld+7tU5CDtheh22jqbwuzcGy+JjxC9O0yevoh82JYGJ9ZEC7cmX3tuTp1l3/zFdmC749CqaP0Lxb408RC3gvSbU4A99g2iusbL915nEpQsbsz4ElQIgx01hPKppGs6h2v7880OCBUmZ1RLDa6dPVPofk6GjgXvAxFp8++n0esH2LyZzti5PX++6YqNjGfHFPZtx+d83SWvEtPhBg/F4Ue76LCfUACKBKLbjXROCnOqJg6vTPtxvWkGiG21vOOva/mgvQr++d6HAz1mvF81rxIU7N+CAScGcLItpm7Rrp1BSNrgW0wTMib0ZH1OYgC03cKJpc+bsBnx/f/PF1WFTElnhT7ps6acQnX+rFhZeC6uzZtfj+ff0ZE0xbMewtpuTOw7rwJ+PlUf9c6MjEcV/79vmcKCZXxZTobeWE2ijFINzwKRa1EUtHN6bwOQGf1qc89ti+MIezfiMxK+SX59cPz24He9RaMEV5pFGV2B86cLGbIhzkcZ4xLf5gi6qNmPiZLv/3Mn4fzvrR8DzhUfbro9FXE2kik2lmPs5KdZJ/qmzzMdrJyZCGvsgzG0dFLWA8zOmdONBAyi3JnNoD3vUS099FC+8d2KB9nh3fTTP382eXTVZf0WAu6AmSL2IaekIEEeFB/xARptXdKDuLNteE2o8DyScgs5SvufR7BpdXoZ5Bn7gVJgIfwA9J9AxoTN9f/824zIBwR2ZB6VeY56yzfGM17uSQgb2AeRomSfPrMsLAFJJ41OpoQCIhMJ470TioszeL5v6AHL6oBE718T67aOr7Z8Jl2r/q8vDx0/ADw8onBDtSbUpbuGNMybiW4tbhN/yaa6J4Mq9WyvGF1UQEzAZE+oyGi6aidjtV2UC9vGFjVj/vkkBSuQfe4/ttolbp+m82rIsTBIEF7WZxEcyCkCHTUlgamMsVCG1SVoyLScRVRj4Ow/3NlsM45Em1kfx9tmTMLUxhlsO7tDKt6AcloVLFzahWeL8U1fDwckx0+pw4wF6wkb7FF5XdhOxrFB8cZiwfIZ6A//Hozvx6In60cuKSWWMnt5UmvxHt95UGkBeXLBzo+9DLj8B/Nx82dmY+COqhEPCrJDdpfH87ODcmHOA4TrGSbGigOUHk/BOWdQAEk2ObJ/EUQv46l4t2Cuj7RqPCNtmDx9A9pBfymXXo2uGAQDDjgWEVxlWHGd+EOSFySGQ2A+bMvaTzuo9IWOCPt0RHVKnP+oQ5O6r98kPNBJ2XrKmVhvygczNB7S7BgDZnqAJGAnEeFL71cGC6ATaZxqZ++zTiVQKOGhSAj9/eWvwAlY405tivhapc9vimCuc2jijdVhIC3iWTa3Dxx/dmPdbpSJbGASZyuzFg24atn+GEZXts1WseGlpPrFLE7751Gbpb3bfSp+ojgAoPEEbyghw/G4chhyLQzuZZpc40Ad7aI+ZlGXXjjieXDeCbuGkVRYdpUBAkil2Z8iOknVoq43goMnBfHo5KYXvglNn1WPtYBInBvDZVWw+NK8RH5on19qxzR4rgUrYqKsQy1bM8f/3R3Wi04fZqA7pdUGq0AdQUXJLc/kezeiqi2KOR2QnEV0tWC9N50pqT9k1mcs1szI+fLrrIvj14R1wCZjniasGkM96ufPwjry5Qaf9iM9gv6/uughWb7Uy31m4aF4jXtk0isffHUbMkpsk79wWwxEZMzg7vwl1UazaMoYwMNWodZqgerXZhR3B/bs5MQnaEMvTJs7H/rxvT610Da1rKlYs7jiso8AE0gvTosrMmo+eGu56xEkFDU8lhwIgEogK34Nrk92EWebRL2ycztzy1HS351EmALkJPV2BPYIKdinangXzCeLIqQn87D9yYV+QdmAaPtjWhBopT3RULHBxEmtZFn59eAf26KrB0799B28MjBVs6BZ312RP+kw5dlpC6SPl+v3kqtcHTKxVhkh3ovMOHjyuUKNjp9bCOlG9V53tJ8eVNDXRtAYSqQyW9tSgo0gCFJtijv9LNJy7q/Aql18NoCC0J6L4nEuwBRk66yALuXHKHr9vPqANM0qsXeeFUzvbS1DwiV2acMDEWkQjFoKI4WWmWkHZtbMmK3A5emrCON2meAQ/O7gdB0yqRf9QEk+uGym4JhaRHw49dPyE3HwVYsPVMZ+S8adVg/iYMO7bmk5uftzKSVSyJ9AVtL61Nf3OfQu+Aw6Yts8irayywiqz9yAzuwvqBNrTt1JlNpWSUFmjNBl3FDv0dqmwyx+xRNt3f08lO5EZ7/VTDP56/AS8vlkeHa2lNl1jbuqfxdwA2MIL3U2MKOz47yWt+OqiloLfn1k/4tsfCpBbPOhOqnNaY5jeFMX7dwovPGqYHJzRNPnmPq14z/3r4JRT2Zozfmrs1oMLBTn2u2xSaADFI0DUY+EoE+6a8vGFjfjW0znH0U4TsFL4Vdu3pwYHBYzepwvHvsrhzNn1+KlCOG0Txvu656jwTS2cmJy8VxIF/u4qJbyPA921nf08f+hLRyE82eFbrpIeKzvGphz/CqsJCzAWlqkQzXXCqgcLubY/IRHRmic+4IjiuWxaWlOyMR7J+s4TiVmCFrbwvTOsPRDuPGWa1LPr84VXtqZTvEI9Lsg0gHT72daMttOctvJs203ejSyyWbmH6/Hgo6zUUABEApHbrIzPxZjN1mw0BKtgI6pLbtCz1Wpzv9l/t9RYOLdCN+SlZkF7XKkl8v92bkRXIorNI0n86pVt0kG6mGGIT5pZj0OnJNBSE8ElC5tw0UMblNe+clp+JJBYxEJrbX6J22rN/PfIiBruExriETx5co//DAOiW87azBGrc4FgL+LCGlnOnF2P1ppIYL8OQfnc7vnOkiOK96pTf34Fir8LuEE38f1byjDXlcL392/Db1/bVu5iAEg70B/O7IyuW9qG65bKNeCcVPrrKpNioyde9ZaT9+RfaVLfOo5Yg6IriPZ+XjPN1WJSarlAvha4//ftJOsPxiOUu8039ykMouFGPGJhdsZcsC2uMiE3StIVv8IBpx+3sYzaWqX4gXQiRsk0LeEpM+vx8sZRnOIjeIevDJ23G9xvXyobpyptHVDK6NWVRoXKScl4QSbpHY9c+eQmAMBL/SOBbL6BXF3Yk9BunfHsd7cc1FG0EPbVRDxi4dQdchOdbIw+Zlpx/X3Y/lpO26Ee69+n9mvUnoii3iP+teX41w+xCl3UBMWegJ0bOtuh8GhI4X4iloXjptflTfh7T6jByZlIUzq5hPEeLcvK0zSynUE6zRMq9XV/dachPHGsnhCh2tBdK753Vj1+foi5M+1i8P92bsRHFuibx1XievhjCxpx15GdgTQoS4XXOBLGovsj85vQ21hcH2FZEzCP62whxJmzg0cpKzaqyFbFOr4s1hgu+oPREZ7obnL3mZD2kdNZF8F7ZtZhxdEt2KFBnoG9vg1Ds+P/zWvE3NaYkZkRAOzk8GlluwRyEwAd1ZvAtCL0HZ16EOUhXlHWnNTFLHxpUYt/p8gh7Wt0aIhHcM3iVly3tDVYpqSoUABEAlEtJmC2w9lkKviEZg/stVELfzi6E1/csyXPxIzoU2610bAIQ8s/ZwIWuDglQT9aWfpf57s+Z8d6LO6uwZQibnT+uKwLl+9R3ogQl+3ahKOnJjA743zUZEwt5XgyMxOVZGpdEl11+kuHnNAsnMJOMMibmBOGkDNsrtizBftPrMUZgpBhvM4NqrnA5CQ6EbNw/pziahLPzZiayPyW2VhW7nkaSqCVFBR7vEwKApRiYin+Dors4DWM9E+ZVY/VZ03KRM20sGOLWiBTm/UxGLwjzmmN49ETu1Fn2IacWY9mNYBy302uz18/3HZoB546JTzNaKMoYLIJu8R7qFKtH8+d04AOE1XhIlH5o1L5oAkYCcQ4XYMpSTuBDvZU4oCzOBPdJRcZLFDS2x12fY33LV8Y5VeZClUqrZKIVzJUUWQWdtTgD0fnmyr99ojO0AUATlt8k3vCYG5bXKotorNQK8WeKxEFBseAAycl8MpLW4yfPewiPrG8G0NB1TSJkkoeXy5Z2ISTZ9ZhwR1rxu3aI2gYZydH9SaU0eWCsLi7Fq+dPlHqmFXEHjfHw9rGLuJx0xP43nNbst+nN6qFzpCDEkadxKy0NvK6obSOrBioxGuO+MfybngoJxeQ0JxU4pm9fbmCTACFawZbA0hUknn0xAkF4eLLRZ4T6My/tv+pYgtm/Drazt0/vhmvBwbFZLzvq0iFMF60EryIoPBUIQxkfoGIN8dNr8MpM+twqGH4yUojDD8o0SJE3ygm+/bU4BiNEJ72JKQjeD1gUi3mtoXr+6nSbMCzJmAaG8VSjCcvnzYRq86cGHgBGVY1t9REMKGu/CeL1U6FdYss2VDe43RBL5sLTp5Zh+8uafWV3qk71GO/Ivk18xL+AMGDZpQSu4RfWdSCt86amP1+aXcNpjb6DzrglR/gvz/97cQJ+POxXZjRVBgB1YL7xnxWSwzTihSRzdYAGi1jR3RmPZYRRolzenNNBJ0VoIkCOJxAh+gTygS/+QR9zeN0uK5qqAEUEm+99RZ+85vf4L777sN//vMfrFmzBm1tbdh7773x0Y9+FHvuuWe5i1gUxmskDiUWcOcRnfhjJqKFES6nMvZ3fs13t1cm1EVx0wHt5S5GYMIwq+ipj+Dp9ZV9Qi8SsSz8VMMPiu0Pp1wjidP3jtY9QifvrotgsAgaKTobhlIIrxoz+vR+zX3Hwb7Qk3N2rMdP/u0ePataqDSBqBN7zdGiIZwYL9zsZ46rkNc0pqkBZPtleezECUiUaSFkC6killXgoHbfnlq88XK4fVzsS36feIeWeMH9srG41N3W9kUzWkYNIGebK4cwqq0mXYgmDY3nSrCSLFMU+SwVUAUkAwVAIXHjjTfiO9/5DmbMmIGDDjoInZ2dWLlyJX73u9/hd7/7HW6++WYsX7683MUMnWpxAm0TsSzMbYsH0jKQ1UXOB1C11BQxIYy3/tW9WrBLx7Zx4WvBBHvZVC5ZssoETcY2iaDn2feEG2nNr0nF/kWObuY3PH01tNbjp9fhJ//eWhXP4kWlP2NNZuN5ZKVphSp8mTkJy5S3nO9p+Yw6/PrVdHROe//vtf21TZHcfAqJXLKgMbRNZyUEUAi69BN9R5XKbMiNmqwJWOkn7sdPnIBvPr0ZX1mUH1Dl6n1ace2zm0tallN3qEdTTQSHTvaef2XtsNKP0Oe3x/Hs+pHArjHKRfl7fuVCAVBI7L777rjnnnuwdOnSvO8feeQRHH/88bj00kuxbNky1NaWNwRx2FSbACjIc7jVRRhOgEmO8VaP2UV/gILPbonjs7uHa/5UCZgIYIqBiQ+gJd01+Ovq4bz2F3bIWb/18NODi6sp53esr6Qw0H5JOf6tZvyOUbNbYtg4XHx1gAl1Ubz43h50j1Nn4GH3g3Lsyz6xSxN+/eo2AEK0ME0NIF0uDzFa6qd2bULUAhrj8jKkUHxt9uACv1wKogZQufblNbYJWBk0gHZsjePG/Qvnu+Om1+G46cWNDuskYlk4VjMirUzxLff+SjNDmuYyry2GZ9eH7x+LlJ/xOYNWIMcdd1yB8AcAlixZgv322w/9/f14/vnny1Cy4lItUcBswtjLyRbQx06rQ29jFJMaKsMWeTwztTGKr+4V3uKwJFTBJrhYZAVAZVrImmx4oyU8SdbN6ZDJteipi6BZ0+m2XwJHRwynGKTI+H1Pj584AS+9N1xtOBU99dGKM1WzNTO9hoiwhhC35y/VMJUWQNg+gNyvLafi6pKeWtx5RKerJtCH5jVielMUUxtLcy5+2g7piHZ7ddVoXS8eIsm0MUtdvbEym26PR2RCUL+ataXiuIxwq1L8KJHwoAZQCYjH06f20Wj1daASC6+LTrE0gPafWItnQgw9uT3ztEY9/uqwDvzBjx+nIpH1AVSps3wZsc0iyxWow+SNlOLExFbv193E3XZIR0minNgHvdtzC96ent2vptf2yhf3bMHc1jimN7mv88LwBwcA8zNm6jOaC/Mr9pvIHvxZOR9AXu//w/PDj1QWFhbSUSefPLl4azRn7dgC+waFVpLb/fmBAiiCGS+4RWQrep/1ed+yaXXoP3dyqGWpRLbH2YsCoCLT19eHBx98ED09PZg3b57n9YODlbNp1WF0eAzdCQs1FjA8PFzu4mBeaxQHTYwb1+Ps5ij+s2kMyVTS9zsYHR0FAIwMj2CcvcaqY2knsLQzUbT+ZLd13TafSo4BAEaGhjA4OFaUMo1XRobT/WZ0bKws499QJrzuWFIj/1T62m2Dg0ikiiMOGs2EMhkeGsJgbNT1Wru8MaRDtReT0dF0BpbPsT6ZSo27+c3Gft7R0dFx+wy62P0hqdMfKpywyq8z3tcAOHtmDENDQ65pbcnYzIyOBWtLe7cDLyxvQ1tt4ZrFQnHWknaaw5kxe2xsDIND6TpJuTzP6tM68u6vFOz3OVKCfj00NIToWG6bOTRs9zO9NaetaTU8OIShIbv+RzE8HMn8HX5/NVnn7DshJs2/0t55ORH96Nj1MpLZNwwPD2NwsHjCPHv+Ltf+RKevFaP9jI6l63doeBiDg+72irnxzWx9XykkEmZ+8SgAKiIjIyO44IILMDQ0hCuuuEJLA+itt97C2Nj42iDekwlwtmbNmvIWBMCP56f/7etbb3TfJ6ZFcMEzCYwMD6Ovr89X3gMDcQBxvPvuO+gbKWNoBFIyvNt8Ws17cNs2ADGsWbMaTQM8sRN5d6sFoA5btm5FX19/yfPvHwGAegwODnn2/eHBWgBR9L35JgaK5I5py5YaADGsefttJGtVbSXdrvyOVX54fxcQH45jel3Kx1hfj9HRkZKWN0ze3RABkMDmTRvR17eu3MUpKu8Opfvjtq3b0Ne3sdzF8UVLrA4bR63Q21sYa5w129J9d/PmzcbrFBkDBd/UA0iF+uz/u4eFwbHceBMbAzridTiqqR/96ywACYxtGX99Y/26KIBa9Pf3o69vbZFySb/vN1etgmhFMzCa/m1wcFCrn42NJgBEsOrNVVg9kB6PBjZvxjuxMQAJbNq0qWj1r2739VjcNobLZw+hJb4VfX0b8n4DSjtHjQ/y62XzJmHfUEQfahsz+bxTpv3J+vWZvrZhA/r6nAdbsrYSTvux92Vr1qxG3xb1esqSjJmVsKfVJRqNYubMmUb3UABUJJLJJD70oQ/hkUcewTnnnINTTz1V675JkyYVuWThMzw8jDVr1qC7uxs1NXr2zJXGhoZR4JmNiMdr0Ns7wVcaDasHAAxhwoQJ6O2uPme9JId+m08vyOrr64D1I+jp6UFvK4ddkaFNYwD6UV9fj97e7pLn3zCUBLABtbW1nn2/4dVNwIYR9EycjAlFckIbf2UTgBH0TpmEroQqj3S76u3tLUoZZPQCmNvrd6xfh3gsjt7ermIVr6i8HBsGsBlNzS3o7a0vd3GKSnxruj+Uqz+GweeGBnHlU1tD6x/hrnHSfbe5qQm9vQ3BCydJP2JZoY4NspSem57+N5VKYVv9EE6Z3p6N0DZe6MAQgAG0tLait7dYzoPtsXoKEkL9bBpO97NEIqG15qx5ph/AGKZMmYK160YBbEJLcxO6uuIANqO5uTn0scmr3f/juDG01UZQL3XwVPo5anyQXy+Na7cAGEzvGyYUb9/QvC6TT9cE9PaUfn9yYkcS336tH6fMm4ApDl+oR07ehFnNUfT2dgjfhtN+mtakn7u7uwe97aq19zpAGDOrYU+rA3ciRSCZTOKiiy7CHXfcgfe85z245pprtO81VeGqJGpqasZt+RO1GVU/K+L7GWLRQQBDqK2tQSJRXdHeiBzdNh+NRAGMIFFbi0SCwkGRGdEkDp60DRcvaCpLv6mz0qdhkYh336+PbwUwgnhtLRJFcoqYstJn+k11CSRq3YVM5Rpv/Yz10Yg1bueHjBs/xGKxcfsMutRkNJB1+kOlct78BM6b3xp6umGuceJFbEuWVdqx4QPzSht5KSzi8bRGQDHfRcwCRlNAXSKBWkEANBTRn3fS16XvTdTWYlZ7HMAmLJ1cnxW6FXNsUrX7WRrZjdcxpNjY9RKNpU1Ga2uKu2+Ix9P5xIucj4rpCaDvTLmA8vbDC9tI1Er7QQzafqKxtFlXug27C3OceY3nPa0OFACFjK35c/vtt+Pkk0/GDTfcgEiEwdYqnawj2gBp2M5bx9cZGCkFtn/M7dxPqpSGeAS/PqKzbPmbOOi+enEL5rfH0VPEENSjGS3laJVNG9XQ9KvhGXThWFUcJtRF8M624plgXDSvEUdNrd5NS5jYmiuN8eINtrNbYnihf7Rg7LA/12pqTYnz0/SmGN46ayLqYxE8+BZ97FQDpXLcPl54/YyJJZ1vq2y5pcX2+MxFQxT+LF++HN///verMvJXNWLPwakQRkmum4mTsCK/kPBpiFtY2B7HRxd4R6npTETx8V2aihrxaPfOtLpJTQlDzpeCPTTDHRNSzfzXLk0Aiidg++peLVjaQw1kHQ6dXIvvLW3F2TsWz6xTNYw310Rw5V4t+O6+rXrpZP612019JqSULUBq99AWJZVJqQUz40Ww3xiPoKGIglknVbbc0oIaQCFhm33dfvvtOOGEE3DjjTdS+DOOsDt/kLFYDI1KiIitYcamUXnEIxZWHO/P71cx+MxuzThnxwbXk+FLFjTijle2lbBUwfjXSd2Y3MD5kBC7X48xTkTZsSwLp88uhh+m/DzS/xb+duE870MHm8Om1OLp9SOIORLaq6sG/72kFSfNHJ9meNs79p6D+4bioFut0e3wBVAAFBJXXXUVbrvtNjQ2NmKHHXbA1VdfXXDNsmXLsHDhwjKUjniRlf6GII3f/oYR4oXt9K6/iFEeSHUQi1iY1uQ+NV++Zwsu37OlRCUKzoxmLjXGC+PMUmDcYTsCfmr9SJlLQkpBVnMnYDqf3q0Z5+7UUOBoOxqxcM5OxRVikeLRkQn0IHekHR4c193ZDuU/FACFxRtvvAEAGBgYwDe/+U3pNVOnTqUAqEKxpb9BBsntcQAhevzXrk2IRYDdOmkGQ8h4Y3tcPHM6Kw5LMuZZ6wd5GLA9YB8uBu1PsYiFKY3cslUbF89vxKzmGHbp4NqwnGyPBpQcTULihhtuwA033FDuYhCfhGoCFrg0pNporonginGksUEIKYRCfhKUxni6EW0ZpQBoeyArANoOx44ZTTT79SIesXD89OKb722HzS8PL19L9AFEyHZK1gIsDBOw7XAgIYSQamd7GNrDCIRA1DRmTD1oDbx90JFxzrw9jB0ir50+ETWU/1QM2+uortvvtsd92/ao9URIAbb0N1gY+DTWdjfVE0JI9bJnVw0OnVyLU2YWL1pQpRCNFD809vZMNGJh7wk1+PzuzeUuCikB/7N/G27av62okSMrkdbaSDZSGckxtTGKcg6t21crBN47Kz1nz/TwQ0gNIEK2U9pqI2iKWzhzdvAF/nY2zxNCSFXTVhvBrw7vLHcxSsLE+iiuWdyK5YwqVDT+uKyr3EUgJaIjEcUps6pfcEz0ePiECWWJALi9Knbu3lWD/nMne153xJRECUpTWVAARAjSp519Z04KlEZOA4gQQggZn5w7h1GFCCEkbJrKrFnJA+pCXj19YtY32/YEBUCEhMz2N4wQFb85ogPddTSEJ4QQQggh5WN71QRyo612+zRVpACIkJChhJ3YHDhp+1MrJYQQQgghhFQm26fYi5AiwDDwhBBCCCGEkErhuEyo+Tmt1PsgadgSCCGEEEIIIYSQKmMPTWfIZPuBGkCEhETWCTRVgAghhBBCCCGEVBgUABESMpT/EEIIIYQQQgipNCgAIiQkchpAFAERQgghhBBCCKksKAAiJGQo/iGEEEIIIYQQUmlQAERISLAzEUIIIYQQQgipVBgFjJCQ+MCcBqzeOoapjdFyF4UQQgghhBBCCMmDAiBCQmLXzhrccXhnuYtBCCGEEEIIIYQUQKsVQgghhBBCCCGEkCqHAiBCCCGEEEIIIYSQKocCIEIIIYQQQgghhJAqhwIgQgghhBBCCCGEkCqHAiBCCCGEEEIIIYSQKocCIEIIIYQQQgghhJAqhwIgQgghhBBCCCGEkCqHAiBCCCGEEEIIIYSQKocCIBIK0Wi03EUgpKSwzZPtEbZ7sj3Cdk+2R9juyfbI9tDurf7+/lS5C0EIIYQQQgghhBBCigc1gAghhBBCCCGEEEKqHAqACCGEEEIIIYQQQqocCoAIIYQQQgghhBBCqhwKgAghhBBCCCGEEEKqHAqACCGEEEIIIYQQQqocCoAIIYQQQgghhBBCqhwKgAghhBBCCCGEEEKqHAqAiG/++c9/4pRTTsHUqVMxadIkHHroobjzzjvLXSxCsrz11lv43ve+hxNPPBHz589HV1cXdtxxR5x11ln4+9//Lr1n06ZN+MxnPoP58+djwoQJWLBgAT7/+c9jYGBAen0ymcT3v/99LFmyBD09PZg1axY+8IEP4LXXXlOW689//jOOPvpoTJkyBb29vTjmmGPwl7/8JYxHJkTJd77zHbS2tqK1tRVPPPFEwe9s+6RauPvuu3HCCSdgxowZ6O7uxsKFC/GBD3wAq1atyruObZ5UA6lUCnfddReOOeYY7LTTTpg4cSL23HNPfOxjH5O2TbZ7Ml74xS9+gY997GM48MADMWHCBLS2tuJnP/uZ8vpKbNsvv/wy3ve+92HmzJno6enBvvvuix/84AdIpVLa9RA2Vn9/f/lyJ+OWFStW4KSTTkIikcDy5cvR2NiIu+66C319ffjyl7+Miy++uNxFJARXXHEFvvOd72DGjBlYunQpOjs7sXLlSvzud79DKpXCzTffjOXLl2ev37JlC4488kg888wzOPjgg7Fw4UI8/fTTeOCBB7D77rvj97//PRKJRF4eH/nIR3DLLbdg7ty5OPzww/H222/jN7/5DRoaGnD//fdj1qxZedf/4he/wAUXXIDOzk6ceOKJAIA777wT69atw49//GMcf/zxxa8Yst3x/PPP46CDDkIsFsOWLVtw3333YdGiRdnf2fZJNZBKpXDJJZfgxz/+MWbMmIFDDjkEjY2NePvtt/Hwww/jpptuwuLFiwGwzZPq4bOf/Syuv/569PT04Oijj0ZTUxOeffZZPPDAA2hsbMQf//hH7LzzzgDY7sn4YsGCBejr60NHRwfq6+vR19eH66+/HmeccUbBtZXYtl988UUcfvjhGBwcxAknnICJEyfiT3/6E1544QWcd955uPrqq0OuMT0oACLGjI6OYtGiRXjrrbdw3333YeHChQCAjRs34pBDDsEbb7yBv//975g6dWqZS0q2d+666y60t7dj6dKled8/8sgjOP7449HQ0ICXXnoJtbW1AICvfe1r+MY3voGPfexjuOKKK7LX24KkL3zhC7j00kuz369YsQLHHXcclixZgt/85jeoqakBANx333045ZRTcPDBB+PXv/519vr+/n7ssssuiMViWLFiBSZPngwAePPNN7H//vsDAJ588kk0NTUVpT7I9snIyAgOPfRQxONxzJw5E7/85S8LBEBs+6QauOGGG/DpT38aH/zgB3HVVVchGo3m/T46OopYLAaAbZ5UB2vWrMHcuXMxefJkPPTQQ2hpacn+dv311+Ozn/0szjjjDFx//fUA2O7J+OLBBx/EzJkzMXXqVFxzzTX44he/qBQAVWLbPvroo/HII4/gjjvuwGGHHQYAGB4exvHHH49HH30Uf/rTn7DXXnuFV2Ga0ASMGLNixQq8+uqrOPnkk7PCHwBoaWnBpZdeiuHhYdx2221lLCEhaY477rgC4Q8ALFmyBPvttx/6+/vx/PPPA0ifHN96661obGzEJz/5ybzrP/nJT6KxsRG33HJL3vf2589+9rPZiQMADjvsMCxduhQPPPAA+vr6st//5je/wcaNG3H++ednJw4AmDx5Ms477zysW7cO99xzT/AHJ0Tgm9/8Jl588UVcd911BRtigG2fVAfbtm3DVVddhenTp+PrX/+6tK3bwh+2eVItvPHGG0gmk9hnn33yhD8AcOSRRwIA1q5dC4Dtnow/DjzwQC2Fgkps2y+//DIeeeQR7LffflnhDwDU1NTgs5/9LADgJz/5iU41hA4FQMSYhx56CABw8MEHF/x2yCGHAAAefvjhkpaJEFPi8TgAZDcJK1euxNtvv429994bDQ0Nedc2NDRg7733xmuvvZbnQ+Khhx5CQ0MD9tlnn4L0ZX2BfYeUmieffBLf+ta3cNlll2HOnDnSa9j2STXwwAMPoL+/H8uWLcPY2BjuuusuXHPNNfjhD3+IV155Je9atnlSLcyaNQs1NTX429/+hk2bNuX9du+99wIADjjgAABs96R6qcS27Xb94sWL0dDQULa+QAEQMWblypUAUGAXCQDd3d1obGwsWGwRUkn09fXhwQcfRE9PD+bNmwcg165nzpwpvcf+3r5uy5YtWL16NaZNmyY9aXZeL/4t6zv2d+L1hARhaGgIF154IRYsWICPfvSjyuvY9kk18OSTTwJIC/X33XdfnH322fjiF7+ISy+9FHvuuSc+97nPZa9lmyfVQnt7Oy6//HKsWrUKe+21Fy699FJcfvnlOOmkk3DFFVfggx/8IM4//3wAbPekeqnEtu1Wpmg0imnTpuGNN97A6Oiox9OFT6zkOZJxj33C0NzcLP29qamp4BSCkEphZGQEF1xwAYaGhnDFFVdkB367zTpVqG3s9m5f59UPnNd73WPbDLPvkLD42te+hpUrV+LBBx+ULnBs2PZJNWCbuVx//fXYZZdd8MADD2DHHXfE008/jY997GO47rrrMGPGDHzgAx9gmydVxUUXXYRJkybhIx/5CH74wx9mv1+8eDFOPvnkrOkj2z2pViqxbXuVqampCclkEgMDA2htbZVeUyyoAUQI2W5IJpP40Ic+hEceeQTnnHMOTj311HIXiZCi8Pjjj+Paa6/FJz7xiWz0F0KqmWQyCSDtX+FnP/sZdt99dzQ2NmLJkiX48Y9/jEgkguuuu67MpSQkfK666iqcf/75uPTSS/Hcc89h1apV+MMf/oDBwUEcc8wx+P3vf1/uIhJCKggKgIgxMqmoyObNm5USVULKRTKZxEUXXYQ77rgD73nPe3DNNdfk/W632Y0bN0rvd0r+vfqB7KTA7Z7NmzcXXE+IH0ZHR3HhhRdi3rx5uOSSSzyvZ9sn1YDdfnbddVdMnDgx77edd94Z06dPx6uvvor+/n62eVI1PPjgg7jyyitx3nnn4ZJLLsHkyZPR2NiIxYsX4/bbb0c8Hs+aP7Ldk2qlEtu2V5k2b94My7LQ2Ngo/b2YUABEjHGz4V2zZg0GBgaUNpiElANb8+e2227DySefjBtuuAGRSP7wZ7drlf8q+3v7uoaGBvT09OD111/H2NiY5/Xi37K+42ZbTIgJAwMDWLlyJZ555hl0dXWhtbU1+58dofGwww5Da2sr7rnnHrZ9UhXMnj0bgFrd3v5+cHCQbZ5UDffddx8AYL/99iv4rbu7G7Nnz8Yrr7yCgYEBtntStVRi23Yr09jYGF5//XVMmzYta6JZSigAIsbsu+++ANIRN5z8+c9/zruGkHJjC39uv/12LF++HN///vel/lBmzZqFiRMn4rHHHsOWLVvyftuyZQsee+wxTJs2DVOmTMl+v++++2LLli3429/+VpCe3ReWLFmSdz3AvkOKS21tLc466yzpf/aC5KijjsJZZ52FqVOnsu2TqsDeAP/73/8u+G1kZASvvPIKGhoa0NnZyTZPqobh4WEAOR9YTtatW4dIJIJ4PM52T6qWSmzbbtc/+uij2LJlS9n6AgVAxJgDDjgA06dPx69+9Ss8/fTT2e83btyIb3/726ipqaFvFVIR2GZft99+O0444QTceOONSme4lmXhrLPOwsDAAK6++uq8366++moMDAzgnHPOyfve/vzVr341uwgD0idyDz30EA4++GBMnTo1+/2JJ56I5uZm3HjjjXjzzTez37/55pu46aab0NHRgWOOOSbwc5Ptm7q6Olx77bXS//baay8AwKWXXoprr70WCxcuZNsnVcGMGTNw8MEH45VXXsEtt9yS99s111yDjRs3YtmyZYjFYmzzpGqwQ1h/73vfKzA1+eEPf4g333wTe+21F2pra9nuSdVSiW179uzZWLJkCf76179mNfWAtND2q1/9KgDg7LPPDuHpzbH6+/tTZcmZjGtWrFiBk046CYlEAsuXL0djYyPuuusu9PX14ctf/jIuvvjicheREFx55ZW46qqr0NjYiP/3//6fVPizbNkyLFy4EED6lOCII47As88+i4MPPhi77LILnnrqKTzwwAPYfffd8bvf/Q51dXV593/kIx/BLbfcgrlz5+Lwww/H6tWrceedd6KhoQH33Xcfdthhh7zrf/GLX+CCCy5AZ2cnTjzxRADAnXfeiXXr1uFHP/oRTjjhhOJUBiEALrzwQtx222247777sGjRouz3bPukGnj11Vdx+OGH491338URRxyB2bNn4+mnn8aKFSvQ29uL+++/H93d3QDY5kl1MDY2hmOPPRaPPPIIurq6cNRRR6GlpQVPPfUUVqxYgbq6Otxzzz3YY489ALDdk/HFLbfcgkcffRQA8Pzzz+Opp57CPvvsgxkzZgBIR7qzhSiV2LZfeOEFHHHEERgcHMSJJ56Inp4e/OlPf8ILL7yA8847r0BYVSooACK++cc//oErr7wSjz/+OEZGRrDzzjvjoosuwvLly8tdNEIA5Da7blx//fU444wzsp83btyIr3/967j77ruxZs0adHd344QTTsBll12WDfMokkwmceONN+InP/lJ1sTgwAMPxOc///nsBOXk/vvvx7e+9S08/fTTsCwLu+yyCz75yU/iwAMPDPS8hHihEgABbPukOli1ahW+9rWv4c9//jPWr1+P7u5uHHXUUfiv//ovdHV15V3LNk+qgaGhIXzve9/DnXfeiZdffhnDw8OYMGECli5dio9//OPYaaed8q5nuyfjBa91/GmnnYYbbrgh+7kS2/Z//vMffOUrX8GKFSuwdetWzJo1C+9///vxgQ98AJZlmVVISFAARAghhBBCCCGEEFLl0AcQIYQQQgghhBBCSJVDARAhhBBCCCGEEEJIlUMBECGEEEIIIYQQQkiVQwEQIYQQQgghhBBCSJVDARAhhBBCCCGEEEJIlUMBECGEEEIIIYQQQkiVQwEQIYQQQgghhBBCSJVDARAhhBBCCCGEEEJIlUMBECGEEEIIIYQQQkiVQwEQIYQQQgghhBBCSJVDARAhhBBCCCGEEEJIlUMBECGEEEIIIYQQQkiVQwEQIYQQQgghhBBCSJVDARAhhBBCCCGEEEJIlUMBECGEEEIIIYQQQkiVQwEQIYQQQgghhBBCSJVDARAhhBBCCCGEEEJIlUMBECGEEEIIIYQQQkiVQwEQIYQQQgghhBBCSJVDARAhhBBCCCGEEEJIlUMBECGEEEIIIYQQQkiVQwEQIYQQQgghhBBCSJVDARAhhBBCCCGEEEJIlUMBECGEEEIIIYQQQkiVQwEQIYQQQgghhBBCSJVDARAhhBBCCCGEEEJIlUMBECGEEEIIIYQQQkiVQwEQIYQQQgghhBBCSJVDARAhhBBCCCGEEEJIlUMBECGEEEIIIYQQQkiVQwEQIYQQQgghhBBCSJVDARAhhBBCCCGEEEJIlUMBECGEEEIIIYQQQkiVQwEQIYQQQgghhBBCSJVDARAhhBBCCCGEEEJIlUMBECGEEEIIIYQQQkiVQwEQIYQQQgghhBBCSJVDARAhhBBCCCGEEEJIlUMBECEVyuDgIF555RUMDg6WuyikgmC7IDLYLogMtgsig+2CyGC7IDLYLqoPCoAIqWDGxsbKXQRSgbBdEBlsF0QG2wWRwXZBZLBdEBlsF9UFBUCEEEIIIYQQQgghVQ4FQIQQQgghhBBCCCFVDgVAhBBCCCGEEEIIIVUOBUCEEEIIIYQQQgghVQ4FQIQQQgghhBBCCCFVDgVAhBBCCCGEEEIIIVUOBUCEEEIIIYQQQgghVQ4FQIQQQgghhBBCCCFVDgVAhBBCCCGEEEIIIVVOrNwFIPl88IN12LzZKncxSAWQTCawbVst6urqEIlQVkvSsF345xe/2FruIhBCCCGEEFI2uHsghBBCCCGEEEIIqXIoACKEEEIIIYQQQgipcigAIoQQQgghhBBCCKlyKAAihBBCCCGEEEIIqXIoACKEEEIIIYQQQgipcigAIoQQQgghhBBCCKlyKAAihBBCCCGEEEIIqXIoACKEEEIIIYQQQgipcigAIoQQQgghhBBCCKlyKAAihBBCCCGEEEIIqXIoACKEEEIIIYQQQgipcigAIoQQQgghhBBCCKlyKAAihBBCCCGEEEIIqXIoACKEEEIIIYQQQgipcigAIoQQQgghhBBCCKlyKAAihBBCCCGEEEIIqXIoACKEEEIIIYQQQgipcigAIoQQQgghhBBCCKlyKAAihBBCCCGEEEIIqXIoACKEEEIIIYQQQgipcigAIoQQQgghhBBCCKlyKAAihBBCCCGEEEIIqXIoACKEEEIIIYQQQgipcigAIoQQQgghhBBCCKlyKAAihBBCCCGEEEIIqXIoACKEEEIIIYQQQgipcigAIoQQQgghhBBCCKlyKAAihBBCCCGEEEIIqXIoACKEEEIIIYQQQgipcigAIoQQQgghhBBCCKlyKAAihBBCCCGEEEIIqXIoACKEEEIIIYQQQgipcigAIoQQQgghhBBCCKlyKAAihBBCCCGEEEIIqXIoACKEEEIIIYQQQgipcigAIoQQQgghhBBCCKlyKAAihBBCCCGEEEIIqXIoACKEEEIIIYQQQgipcigAIoQQQgghhBBCCKlyKAAihBBCCCGEEEIIqXIoACKEEEIIIYQQQgipcigAIoQQQgghhBBCCKlyKAAihBBCCCGEEEIIqXIoACKEEEIIIYQQQgipcigAIoQQQgghhBBCCKlyKAAihBBCCCGEEEIIqXIoACKEEEIIIYQQQgipcigAIoQQQgghhBBCCKlyKAAihBBCCCGEEEIIqXIoACKEEEIIIYQQQgipcigAIoQQQgghhBBCCKlyjARAr7/+OlpbW9Ha2orly5dLr3niiSfQ2tqKCy+8MFDBli1bhtbWVt/32f+1tbVh2rRpOOqoo/Czn/0MqVQqULkIIYQQQgghhBBCxhsxvzc+8MAD+Mtf/oIDDjggzPKExoc//GE0NDRgbGwMr7/+Ou6++248+uijePLJJ3H11VeXu3iEEEIIIYQQQgghJcOXAGjq1KlYtWoVrrjiCjzwwAOwLCvscgXm4osvRnd3d/bzc889h0MPPRQ333wzLrroIkyfPr18hSOEEEIIIYQQQggpIb58AM2ePRvvfe978a9//Qt33nmn9n1vvPEGPvzhD2Pu3Lno6urCzjvvjA9/+MPo6+vLu661tRUPP/xw9m/7vyBmZfPmzcO+++6LVCqFJ598EgBw66234rTTTsOCBQvQ3d2N6dOnY/ny5VixYoU0jd/+9rc4+uijscMOO6C7uxtz5szB8ccfj9/+9rd5161YsQInn3wy5syZgwkTJmD27Nk46qij8OMf/9h3+QkhhBBCCCGEEEL84tsE7DOf+Qx+/etf4ytf+QqOPfZYxONx1+tffvllHHnkkVi7di2OPPJIzJ07F88//zx++tOf4t5778W9996LHXbYAQBw2WWX4ec//zn6+vpw2WWXZdNYsGCB3+LmYWssffKTn8T8+fNx4IEHorOzE2+99RZ+//vf44QTTsCtt96KZcuWZe/5wQ9+gI9//OPo6enBMcccg/b2dqxZswb//Oc/8bvf/Q7HH388AOCPf/wjTj31VLS0tODoo49GT08P1q5di2effRa/+MUv8L73vS+UZyCEEEIIIYQQQgjRxbcAqLe3F+effz6uvfZa/OhHP8L555/vev0ll1yCtWvX4jvf+U6eEOTmm2/GJz7xCVx66aW46667AACf/vSn8dBDD6Gvrw+f/vSn/RYxjxdeeAEPP/wwLMvCrrvuCgD429/+VmAKtnr1ahx00EH4whe+kCcAuuWWW1BTU4O//vWv6Orqyrtn/fr12b9/+tOfIpVK4e677y4QWInXqUilkkgmK8+kjpSeZDKZ9y8hANtFEAYHB8tdhKIxPDyc9y8hANsFkcN2QWSwXRAZbBeVTyKRMLretwAIAD7+8Y/jlltuwdVXX43TTz8djY2N0uv6+vrw17/+FXPmzME555yT99v73/9+3HjjjVixYgVWrVqFKVOmBClSlmuvvTbrBPqNN97A3XffjW3btuGCCy7AtGnTAEDqB6inpwfHHnssbrzxRrzxxhuYOnVq9rd4PC7VdGpvby/4rq6uTus6J9u2DWLbNs/LyHbE0NBQuYtAKhC2C3Oc5sbVyJo1a8pdBFKBsF0QGWwXRAbbBZHBdlGZRKNRzJw50+ieQAKg1tZWXHLJJbjiiitw7bXXKrV1nnnmGQDAvvvuW+AwOhKJYMmSJfj3v/+NZ555JjQB0HXXXQcgbe7V1NSEXXfdFWeddRZOO+207DWvvfYavv3tb2PFihV4++23CzZUq1evzgqATjrpJHzhC1/A4sWLcfLJJ2O//fbDPvvsg+bm5rx7TjrpJNx999049NBDccopp2D//ffHkiVL0NHRoVXuuroERkaoAUTSGh5DQ0Oora1FJOLLXRepQtgu/NPb21vuIhSN4eFhrFmzBt3d3aipqSl3cUiFwHZBZLBdEBlsF0QG20X1EUgABAAXXHABbrrpJlx//fX44Ac/KL1m8+bNAFBgOmVjR+uyrwuDl156KS8KmJNXXnkFBx98MDZv3oz99tsPRx55JJqamhCJRPDQQw/h4YcfzhMIXXzxxWhra8MPf/hDXHfddbj22msRi8Vw+OGH42tf+1pWm+iEE07Az372M1x//fX44Q9/iJtuugmWZWG//fbDV77yFSxcuNC13JYVQSRCARDJEYlEuNEnBbBdmGOqIjseqamp2S6ek5jBdkFksF0QGWwXRAbbRfUQWABUV1eHT33qU7j44otx1VVX4b3vfW/BNU1NTQCAd999V5rGO++8k3ddKfje976H/v5+fP/73y8o8yWXXJKNQmZjWRbOOussnHXWWVi/fj0eeeQR/O///i/uvPNOvPLKK3j44YcRjUYBAMuWLcOyZcuwefNmPPbYY7j77rtx66234uSTT8bjjz+O1tbWUj0mIYQQQgghhBBCiL8w8E5OP/10zJ07Fz/5yU/wyiuvFPxuO0N+5JFHkEql8n5LpVJ45JFH8q4DkBWmjI2NhVHEAl599VUAwNFHH11Qnscee8z13vb2dhxzzDH40Y9+hP333x8vvvii9Lmbmppw6KGH4r//+79x+umn45133sE//vGP8B6CEEIIIYQQQgghRINQBEDRaBS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"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(figsize=(12, 12), nrows=3, ncols=1)\n",
"ax[0].hist(lamda_mcmc[1000::2], bins=100, density=True)\n",
"ax[0].set_title(r\"Posterior Frequency Distribution of $\\lambda$\")\n",
"ax[0].plot(x, gamma_pdf_prior, label=\"Prior\")\n",
"ax[0].plot(x, gamma_pdf_post, label=\"Posterior\")\n",
"ax[0].legend()\n",
"ax[1].plot(np.arange(len(lamda_mcmc)), lamda_mcmc, lw=1)\n",
"ax[1].set_title(\"Trace\")\n",
"ax[2].barh(yes, counts, color=[\"green\", \"blue\"], alpha=0.7)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "57e231f3",
"metadata": {},
"source": [
"# Diagnostics of MCMC "
]
},
{
"cell_type": "markdown",
"id": "b80a679b",
"metadata": {},
"source": [
"The demonstration above has been fine-tuned deliberately to circumvent potential errors, which are common in MCMC algorithm designing. We will demonstrate how it happens, what probable remedies we might possess. "
]
},
{
"cell_type": "markdown",
"id": "815516b9",
"metadata": {},
"source": [
"## Invalid Proposal "
]
},
{
"cell_type": "markdown",
"id": "a6832331",
"metadata": {},
"source": [
"Following the Gamma-Poisson example, if we have a proposal distribution with $\\mu=1$, the random draw from this proposal distribution might be a negative number, however the posterior is a Gamma distribution which only resides in positive domain.\n",
"\n",
"The remedy of this type of invalid proposal is straightforward, multiply $-1$ onto all negative draws. "
]
},
{
"cell_type": "code",
"execution_count": 18,
"id": "d887d233",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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dw7p169CsWTN88803on2jRo3Cf//7X/z44494+umn4ePjAwC4efMmfvrpJ3h4eFTaJKJERGT7Mu8nYcVbT+PqyWiLfW36j0arkBFo1K4bXD3qQLl5M2RJSeb9Mrkc3k1bYvzQdzHq3cWI3bMJx7auxqXD+82rl+UL/2MJ9LlajHj7U5saXkBERERlk/5ehNQpVJqQkBD8/fffpTq2du3aVrWdP1zb09PTYl+dOnUgk8nM04I9ynUOHjwId3d3dO7cudD97du3x6BBg6xqs7KVx5RtFdHWwy5cuICcnBy0adMGQN58iV5eXhg8eDC6d++OJk2aYNu2bcUWBiuKyWTCq6++ijVr1uDxxx/HF198YdX5FXXP7IXVhUGlUomvv/4aY8aMwZAhQzB69Gi4uLhg48aNSEhIwLx589CgQQPz8XPnzsWqVavw7bff4qmnnipzou7u7li0aBGmTp2K3r17Y9SoUQCA9evXIyUlBcuWLTOvTkxERNVb4uXzWPbGE0i5eU0Ul8nlGPbGRwge/1Kpe/g5OLmgw9AJ6DB0AlITbyLmn+UI+3mRqEAYteZnGHK1GPN/X0FeyiELREREZJsE51olH1QNWTs6wtXVFSaTCUlJSRbFvnv37kEQhEL/hrfmOmlpabh79y46duxo8QXtrl27ADxYvbY4lTH3XXHKY8q2imjrYSdPngQAc2HwYS4uLlAoFHBxcSm2jYq4z/k9Bf/3v/9h7NixWLp0qdVf1lfUPbMXZVqVuFevXti+fTsWLFiA9evXQ6/XIygoCHPnzi20J2B5eeKJJ+Dh4YHFixfjzz//hEwmQ5s2bfD222+jT58+FXZdIiKyH3HRe/DHO89BmyX+xk/t5IKnPv4FzXuU/OGwKO5ePhgw9T14+jbG6jkvQ/h3wmIAOLzxD+h1uXhizlIolGX69UpERERUZbRs2RKnT59GRESEuWNPvvy1BFq1avVI18jJyQFgWUzMzc3F+++/DyCvc1NJpJ5jsDymbKuIth6WXxgs7HWHh4dDq9Wah4gXpbzv88NFwdGjR+OHH34o9byCD+vevTu++OKLcr9n9qLMf7l06NDBPJa/OEuXLsXSpUtL1WaDBg2Qmppa7DGhoaEIDQ0tVXtERFS9RK39BRsWzYLJaBTF3b3qY9KX/0O9Ji3L5TrtBz8BpVqDP//vBZiMBnP8xPY1MORq8eTHv0CpUpfLtYiIiIjs0eOPP45Vq1Zh4cKFCAkJMQ/XTEtLM89rOGHChEe6hqenJzQaDU6fPo1r166ZRy++//775kVKS9NDTeo5Bq2dsg3Imx9Sr9ejUaNGUKlUj9TWkCFDEBkZiU2bNhVZ3MtfRHb9+vWiYl1qairee+89qNVqPP/888W+zvK8z/nDh//3v/9h5MiR+PHHH0tVFHz4vuUfX5Z7VpWwSwMREVUJO5bOR9gvn1nEfVt0wHOL/4Srp1e5Xq916Ago1Wr8/s6zMOp15njs3k1Y8fZETFy4HCoHTTEtEBEREVVd3bp1w5QpU/Djjz+ie/fuGDZsGARBwKZNm3Dz5k1MnTr1kXthKZVKPP7441ixYgUGDx6MIUOG4MKFC9i/fz/efvtt/PDDD1i2bBlUKhWmT59eqfPErVixAlFRUQCAs2fPAgB+//13c2/Jbt264ZlnnjG/DmumbAOA4cOHIyEhASdPnhTtK0tbpn9HwRTVu1IQBPNiMl988QViYmLQqVMnJCUlYevWrUhNTcWXX34Jf3//R71tpbZw4UKsWrUKLi4uCAgIwKJFiyyOKWwo8sP3zdfXF0DZ7llVwsIgERHZvXMROwotCrYOHYkn5iyFSuNYIdcN6vUYJn2xGsvffBL63Bxz/HzEDvz2xng8u3gl1I7OFXJtIiIiIlv3ySefoHXr1vj111+xfPlyAECzZs0we/ZsPP300+VyjQULFsDBwQEbN27EsmXLULt2bXz00Ud49dVXERAQgP/7v//Dt99+W+LKxOUtKioKq1atEsWio6MRHf1gYbz8wiBQvlO2WdOWIAg4f/48/Pz80KlTp0Lbu3z5MtLT0/HYY49BEAQcPHgQhw4dgoeHB3r06IFp06YVufhLRbl+/ToAIDMzE599Zvl3AGDdkG+ppsyzBbLU1FSh5MOIqhetVouEhAT4+vqKlrknsiV8TvNkptzD5+O7IzPlnige8sJb6D/1vVJNPlxwVWIAEDw9YSjlavfxRyOw7I3x0GVniuKN2nfH5G/WVeueg3xOyV7wWSV7wOe0/Ny7d8/q1W+p9EwmE3Q6HdRqtdULQVDlOnv2LLp3747PPvsMkydPLvSY9evXY9KkSfjiiy8wadKkSs6w4tjzc1qe72H29cqJiIgeIggC1sybblEUHDbzYwx8+f1K+wXfuEMPvLhkHTQubqL4lWMHsfunhZWSAxERERGRtaKiolCnTp1ie3DmLzzyqIvFkG3iUGIiIrJbMf+swLkD20Wx5j0HoseEl61qp7Q9A4vToHVnTPl+I35+dRSy0+6b4/t//xqtQkegfrO2j3wNIiIiIqLy9MILL+CFF14o9piTJ09CLpcjKCiokrKiysQeg0REZJfuXY/HxsXiuWJcatXGuA+WQCaTSZJT/WZt8eK3/0ChfLAynMloxJoPp8Fo0EuSExERERHRozh16hQCAgLg5OQkdSpUAVgYJCIiu2M06PG/D6ZAr80Wxcd+8A1cakk7X5BPszbo9/ybotjtuFjs++1LaRIiIiIiInoE8fHxiImJkToNqiAsDBIRkd0J+2UREs4cFcW6jnkeQT0HSZSRWN9JM1E3QDzUYvcvi5B4+bxEGREREREREVliYZCIiOzKtVMxCPvlM1HM0y8AQ2fMkygjS0qVOm9I80OLnxj1Oqz5cBpMRqOEmRERERERET3AwiAREdkNbVYGVn0wBYLJZI7JFUpMmP8T1I7OEmZmybdFe/R6apoodj32CCJX/yBRRkRERERERGIsDBIRkd3YtHg2Um5eFcX6T3kXvkHtpEmoBAOmzoanX2NRbPt385F846o0CRERERERET2EhUEiIrILp/dsxOGNf4hiDdt0Rd/n3pAoo5KpNI4Y+/7Xophem42/P3oNgiBIlBUREREREVEeFgaJiMjmpSfdwd8fzRDF1E4uGP/h95ArFI9+gZwcICtL/JOT8+jtAvBvH4xu4yaLYpcOhyPmnxXl0j4REREREVFZKaVOgIiIqCSbv/wA2WkpotjItxeilk/DcmlfGRYGWVKSKCZ4esIwdGi5tP/Yq//BufDtSE28YY5t+fIDBHYPhbuXT7lcg4iIiIiIyFrsMUhERDbtTvw5nNyxVhRr1W84Ogx9UqKMrKdxccOY//tSFNNmpWP9JzM5pJiIiIiIiCTDwiAREdm0XT9+IiqeOTi7YvR7X0Amk0mYlfUCu4eiw5Dxoti5AztwokDRk6SRcusaZnV0x+o5L0udSpU2q6M7vp8yROo0iIiIiOhfLAwSEZHNunXhFE6HbRDFej75MpzdPSTK6NEMm7kALh51RLFNn78HnTZboozy5BfFZnV0x8/TRhd6zLXTh1k4e8iRTSvN9yz/573gulg0phM2ff4eslKTpU6RiIiIiKhELAwSEZHN2vnDAtG2o2sN9HzyFYmyeXRONWpi1KxFolhmyj3ErF8uUUaW4qL34NLh/VKnYTcCOvdG6IvvIPTFd9Bp+NMwGQ048Od3+HpiH2SlppTcABERERGRhFgYJCIim5Rw5hjOhm8TxXo9PR2Oru7SJFROWoWMQNOu/USxfSu+hkGXK1FGD9T09oNMLsfWb+Zw7sNSatK5DwZMnY0BU2dj1Duf4a21MWjcsSfu305A5OofpE6PiIiIiKhYXJWYiIhsUsHegk41aiF4/FSJsilfoZNnIS56j3k7/d5tHN64Et3GPi9hVkDtBk3g3z4YRzevwsld69F2QOHDigu6f/s6dv/0KS5EhSHrfhJcatVG0679EDrlHTi61xYd+/2UIbh8LBIfRd5B2C+f4cSOtUi9cwP9nn8TA6bOxqyO7vBvH4wJ83/Clq/+g7joPTDodfBv1x0j3v4UHvUbIvHKBWxfMheXjx+E0WBAYNd+GPnOZ3AtMEz78IbfcWb/Vty+GIuM5LtQaRzhG9QefZ6bgYCOvcrtvj1MoVShy+hJiD9yADfOHgcAxB85gB9eGobQF99B0679sOvHT5Bw5ii0men49EgqAECXk4V9K77CyZ3rcf/2dag0jmjQqjP6TZqJhm27iq6x84cF2P3TQkz9fhOSb1xBxKrvkZQQD6catdA6dCQGvPQeNM6uFrmdDd+G8JXf4tb5UzAYdKjt1xgdhkxA8PiXoFCKPxJeOhKO/Su+xq24WGSnpcDRtQY8/QLQfvAT6Dr6OfNxsXs34eSuf3Dj7DGk37sDhVKFuk1aoOeEl9AqZET53lwiIiKJXbt2DW3atMGECROwdOlSqdMhKhfsMUhERDbn2qkYXDi4SxTr88zrhRY77FHDtl3h36GHKLZv+RcwGvQSZfTAgJfeg1LtgB1L55cqn3vXLuHrZ/rh8MY/4NOsDXo9PQ3ega1weOMf+HpiXyRdjy/0vN9nPYOjm/9E44490WPCS6jl08C8LycjFd9NHoSUW9fQYegENO4QjPORO/HTqyNx59JZfPf8AOTmZKHT8KdRv3lbnN6zEX/+3wsW11j/6dvITLmHgM590PPJV9C8x0BcO30YP70yEmf2bSn7TSqtAgvkXDsVgx+mDoVMJkOXUc+hTf+8wqs+V4sfXhqO3T99CrWjE3pMeBkteg9G/JED+H7qEJza/U+hzYev/BYbPnsX9YPaoceEl+Hq6YWIVUvx87TRFv924X8swW8zJ+DOpTNoO2gsuo+bDH2uFpu/fB9/vPusqIfouYgd+OnlEbgeewSB3fqh19PTENTrMRh1uTi2dbWo3W1LPkTi5XNo2LYrekx4Ca1CR+DetYv4/Z1nEfk/9pgkIrJV165dg7u7u+indu3aaNGiBSZPnozY2FipU6QKsnr1asyYMQN9+vRBnTp14O7ujpUrV5aprWPHjmHcuHHw8/ODt7c3QkNDsX79+nLOWHpV/Z6xxyAREdmcHd9/JNp2qVUb3R+fLFE2FSN08tv48WiEefv+7QQc3/YXOg57SsKsgJp1fdH9iSkI//0bRP+9DMFPTCn2+HUL3kDW/SSMfu9LUU+yg2t+xj8L38Kmxe8g9K0vLM5Lv3cbb6yKhFONmhb7bl88g55PvoJhMz82x9Z/8iai1v6CpS8+hv5T3kWPCXmLoAiCgGUznsD5yJ24cf4E6jdraz7nrb+iUcunofi6SXfw9cS+2PL1f9CiT/mvjms0GBCz/jcAgG+L9qJ9Fw/txbj/LEGn4U+L4vtWfIWEM0fR7rHHMf7DH8wrbgc/MRVLJvXH3x+9jqbdQiwK43HRe/Daij2o16QlgLx7seqDKTixfQ0i/vc9ej89HQCQfOMKtn4zBy61auO1FXvhXrc+AGDQKx/gx3+LpMe2rjavmn14wx8QBAFTv98E76atRNcsOG/i81+tgUf9hqJYbnYmvn1+AHZ8/xE6jZwItcbJmltIRESVqFGjRnj88ccBAFlZWThy5AjWrl2LTZs2YcOGDejatWsJLZC9mT9/PhISEuDh4QEvLy8kJCSUqZ3w8HCMGTMGGo0Go0ePhouLCzZu3IhJkybhxo0bmD59ejlnLp2qfs/YY5CIiGxK/NEIXIoRL37R97k3oHZ0liijitG4Yy80aN1ZFNuz7HOYjEaJMnqg36Q34ehaA2G/LEJudmaRx92/k4D4Iwfg5d8MXUY9K9rXdczzqNOwKa4cjUBm8h2Lc/tPnV1oURAA1E4uGPjK+6JY24FjAOQPKX/JHJfJZGjz75Dn23Hi3g0Fi4IA4OZZF636DUPS9Xjcv329yNdWWhdj9mHnDwuw84cF+OfTt7H48S64dDgctXwaIPhxcVHVp1kbi6IgABzdvAoKpQqPTfuvuSiYf3yHoROQk5FWaA/HDkPGm4uCQN69eOzVDyBXKHB00ypz/Pj2NTAZDej11DRzURAAlGoHDJ4+598c/rRoX+XgaBFzdq8l2i5YFAQABycXdBz6JLSZ6Ug4c8xiPxER2Q5/f3/Mnj0bs2fPxvz587F9+3a89dZbyM3Nxbx586ROjyrAN998g1OnTiE+Ph7PP1+2aWwMBgNef/11yOVybNmyBV999RU++ugjREREICAgAPPmzcP164/+OctWVPV7xsIgERHZDEEQsPOHj0Uxt9r10HX0JIkyqjgymQz9nn9LFEu6Ho+Tu6QffuHk5o4+z76BzJR72P/7N0Ued+vCaQCAf/tgUUELAORyORq16w4ASL4aZ3GuX4sORbbr6etv0cvM1bMuAKBekxYW13L7d1/6PXEBMvnGVayd/xo+GdEW73X3wqyO7pjV0R2Rq38s9PiyuBSzH7t/WojdPy1EzD8rIJPJ0fOpVzF9+R6Lwmf9oPYW52sz05Fy8yo8fP3h7uVjsb9xh54AgFtxpy32NWrbzSJWs54fanj5IPHyORj0urxzL5wCAIvh6wDQoHVnKB00ovbzi7BLJoXin4VvI3bvJmSlJhf6+jNT7mHT5+/hs7Gd8X/B9cz3ePOXeYXd8rjHRERUuaZMyfti6/jxvLlyDxw4AHd3dyxYsACHDh3CqFGj4OfnB3d3d9F5f/zxB0JCQuDj4wNfX1889thj+PNPyy+eHm4vKioKQ4YMQf369eHn54eJEyfi8uXLReb28DV8fHwQEhJS5JDODRs2YPDgwQgICICXlxeaNWuGESNGYMOGDeZjdDodfvjhB4wePRotWrRAnTp1EBAQgKeffhonT5609tZZ+PTTT+Hu7o6wsDCLfdu2bYO7uzu++aboz1oVoU+fPvDz83ukNsLDw3HlyhWMHTsWrVu3Nsdr1KiBmTNnQqfTYdWqVcW0ULLk5GT85z//QZcuXVCvXj2Loe/u7u4YNGjQI12jtOzlnpUVhxITEZHNuBSzH1eOHRTF+k2aCZXGsudSVdAsuD98mrXBzfMPPnju+XUx2gwYDblc2u/ueoyfioNrfkL4ym/RfVzhw7hzszIA5A31LoyrpxcAQJ+TZbHPpcBCIQ8rbC5JuUIBAHAoZt/D8+olJVzGN8/2Q25WBhp36ImgXoPg4OwKmUyOy0cjcPlYZLmsBP3YtP+i73NvlOpYVw/L+6Qt4R66/XsP8+/1w4q6h6616uD+revIzcqE0r2W+RqFXV8mk8G1Vm2k3b1tjrUOHYlnP1uJ8D+/RfS6X3FwzU+QyWRo3LEnhs6YD+/AvA+z2Wn38fUzfZF65wYatumKgM694ehaAzK5ArfjTuPM/q0w6qVfbZuIyFqZ95OkTqFILjU9K+1aBb+Ii4mJweeff46ePXviueeew40bN8z7Zs2ahR9//BHe3t54+umnIQgCNm3ahGnTpuH06dNYuHChRftHjhzBF198gZCQEEyZMgXnzp3D5s2bERUVhd27d6Nhw4ai4wteAwA2bdqEV199FadOnRJd45dffsGbb76JunXrYujQoahVqxYSExNx7NgxbNmyBSNG5C2Qdf/+fcyePRvdunVD//794e7ujqtXr2Lbtm3YvXs3tm7divbtLb/YK61Tp/K+nGvTpo3FvvzCY2H7bF1ERN50OP369bPYFxISAgCIjIwsc/vXr1/H4MGDcePGDXTr1g2DBw9GUlIS/v77b2RnZ8PNzQ0eHh7o2bNnma9R2Sr6nj0KFgaJiMgmCIJgMbegu1d9dB75jEQZVTyZTIaQF97CircnmmOJl8/hzL7NaNVvuISZASqNIwZMeRdr5k3Hrp8Wov3gJyyOyS/SZabcK7SNjOS7eW0VMgy84B8b5e3An98hJz0V4z/8wSL3vz9+A5ePSfHBy/I1a0p5DwsriGb+u8/inJS7kMlkcHB2EV0jI/keatYTf9stCAIyUu5B4yJuv0WfIWjRZwi0WRm4dvIQTu/dhMMbfsfPr43F22tj4OjqjpgNvyP1zg0MfOn/EDL5bdH5e3/7Amf2by00PyIiW/dh/wCpUyhS/mr2Fennn38GAIuC2N69e7FkyRJzUS5fZGQkfvzxRwQGBmLnzp2oUaMGTCYTZs6ciaFDh+KHH37AiBEj0L17d9F5YWFh+OKLLzBp0oORIcuWLcMbb7yBd955B6tXry72GgAwe/ZshIaGWlxjxYoVUKvVOHDgAGrXFn8xlpLyYL5cd3d3xMbGwtvbW3TMuXPn0L9/f3z44Yf4559/rLl9IqdOnYKPjw88PS0LuvmFwYd7jxX03XffIS0trdTXGzJkSLHtlZf4+LzF5Ro3bmyxz8vLCy4uLsX2/CyOyWQyz7m3aNEivPjii+Z9Q4cOxRNPPIHAwEDs2rWryDZKe98EQYDRaMTw4cMrvEBbkffsUbEwSERENuF85C5cP31YFAuZ/DaUageJMqocQb2HoG7jINyJP2uOhf3yGVr2HVbhxbOSdBj6JMJXfoeY9cvRoFUni/3egXkLU1w+dhCCIIjyFQQBV47n9f70aNi0chJ+SPKNKwCAoN6DRXFBEHDt5KFKz6coGhc31PJpiOSEy0i7ews16oj/MIn/d4GagouAAMCVE1HoMHSCKHb/9nWkJd6El39zKFXqvHMDWyN272ZcPhoBv5biIdzXY4/AkKtFwwLzXZrzc3ZFYPdQBHYPhWA04vDGP3A99igCu4U8uMd9Blucd+V4VCnvABERSeny5ctYsGABACA7OxtHjhxBVFQUNBoNPvjgA9Gxbdq0sSgKAjAPf3z33XfNBTsgr+g2a9YsTJkyBX/++adFYTAgIADPPiueo/jZZ5/FkiVLsHPnTiQlJZkLasVd45133sGLL75ocQ2VSgWVSmWRb61aD+bLdXBwsCgKAkDz5s3Ro0cP7NmzB3q9vtB2SpKamorr16/jscceK3T/qVOnCh2S/bClS5datdCFn59fpRQG09PTAQBubm6F7nd1dTUfY62tW7fi6NGjGDZsmKgoCAChoaFwc3PD8ePHLT57Psza+9aoUaMKLwxW5D17VJxjkIiIJFfY3IK1fBqi47AnJcqo8sjlcvR7/k1R7NaFUzgfuVOijB6QKxQY9OoHMBr02PXjJxb7a9b1ReOOPZF4+RwOb/hdtO/Qut9w98oFNOrQAy4edSsrZVFuAHD1RLQovve3L0RFWFvQYegEGA16bFsyF4IgmOO3L8bi6OY/oXFxK3QF5aNb/ofbFx8suCIIArZ9Ow8moxEdhj0oGLYbNA5yhRLhf36LtHsPhgwb9Dps/ea//+bw4P9rl49FFroITub9vF6N+cX6mvUKv8fHt6+xieeXiIhKduXKFSxcuBALFy7E999/j+vXr2PcuHEICwtD587iL42KGlKbP1y2Rw/LuWzzY6dPW86V26VLF4upU+RyObp06QJBEBAb++B3XHHXyB9O+vA1xowZg6ysLHTr1g0ffPABdu7cWWTR5dSpU5g8eTJatmyJ2rVrm+ev2759O3Q6HZKTC59ntyTFDSNOSkrCzZs3SyzinT59GqmpqaX+eeqpp8qUqy1Zu3YtAOCll16y2KdQKKDRaCAIgugzU0GlvW8pKSm4c+cOnnyy6v/NURz2GCQiIsmd3b8VN8+dEMVCX5wFhdL6b2ftUevQkdj5wwIkXb9kjoX9vAjNggdI3muwRe/BaNi2G66eKLwH2Kh3P8fSyYPw90ev49yB7ajj3wyJ8edwNnwbnGt6YtibC5FTyTkDQNcxk3Bk00r8PusZtO4/Ek41auH66SO4eeEkmvUYiPMROyTIqnB9nnkd5yN24tjW1bh7NQ4BnXojM+UeTu5aD5PRgLHv/1DovItNu/bDkkkD0HbAaDjX9MSlw/tx4+xx+LXqhOAnppqP86jfCIOnz8HmL9/HF+OD0ab/KKgcnXAufDvuXbuIFr0Hi4Zbb/jsHaTfu4NGbbvmDT2WyXD1RDQSzhyFX6tO5kVP2g9+AvuWf4kNi2Yh/sgBuNfzxe24WFw6vB8t+w5D7N5NFX/ziIjokYSEhODvv/8u1bEFh+Tmy8jIgFwuL3S4bJ06dSCTyZCRYTlXbp06hc+Vmx9/eCiotdeYPn06atasiV9//RVLlizBN998A6VSiQEDBuDjjz82z1946NAhDB+eN31L3759MWLECDg7O0Mmk2HLli2IjY1Fbm7Z5svNLwwWVvwrzTBiW5bf662oYmtGRkaxPSGLEx0dDWdnZ3Tt2tViX05ODu7fv48GDRpIPh+3tSrynj0qFgaJiEhSJpPJoregp18A2g16XKKMKp9coUC/52firzmvmGPXY4/gUsx+NOnSR7rE/jV4+hx898LAQvfVadgEr/2+F7t+XIgLUWE4F7ETzjU90XHYU+g/5R041qxj1VCO8uLTrA0mL1mHHUs/QuzezZDL5WjQugte+WU7zu7fZlOFQZWDBlO/34i9y7/EyZ3rceDP76DWOMK/fTD6PT+z0NWHAaDXU68iqPdgRPy5FMk3LsPRrSZ6THgJA176P/MwYvOxT0+Dh68/Dqz8Fse2/QWjXgdPv8YYOmM+gse/JCpA931uJmL3bsLNcydwIWoPFEolanr7YfD0ueg27gXzYi/uXj546cct2Pr1f3ExZh9MRiN8Altj8pL1SEu8wcIgEdmt/+y6VPJB1VBRX1a6urrCZDIhKSnJonh47949CIIAV1fLL7ju3i18rtz8+MNDhq29hkwmw8SJEzFx4kSkpKTg4MGD+Pvvv7F+/XpcvnwZkZGRUCgUWLx4MXJzc7Ft2zZ06yb+fXvkyBFRr0VrFddj8NChvGlNSioM2uocg/nz5MXHx6Nt27aifYmJicjMzCzToi25ubm4c+cOGjRoAMW/nzcelj+0u1evXsW2Y4tzDFbUPSsPLAwSEZGkLhzchdsXz4hi/ae8A4Wyev2KajdoHHb9+Anu37pujoX9sqhSCoO1vBsUO5l5wzZdit1fs54fHv/vt4Xu02q1ou2XftxSbC5FXae4HBt37FnovsYde+KVX7ZbxOs3a4sBU2eXuv3CdBz2FDoOK91wnaLye5ja0RkDX/o/DHzp/0qdAwB0GfkMupRygZ4WvQejRW/L+QALajtgNNoOGF2qNr2btsLkJesK3VfY/amMSfOJiB5VZa78WxW0bt0ap06dQkREBEaNGiXal78Sa6tWlnPlHjp0CCaTSdTzy2QyISYmBjKZDC1btnzkawB5cwoOHToUQ4cORXJyMsLDw3H58mU0adIEV65cQc2aNS2KgtnZ2eZefWV1+vRpyGQy1KtXTxQ3mUzYtGmT+XUVx1bnGAwODsbnn3+OPXv2YMyYMaJ9YWFh5mPKKiMjw+LZEAQB336b93nzmWeK/+xji3MMVvQ9exT21feSiIiqnKg1v4i2vfyboU3/0hUlqhKFUoW+z80UxS4fizQv4EFERERkiyZMyJvXduHChaJhkunp6fj0009Fxzzs0qVLWL58uSi2fPlyXLp0CQMGDBANGy7qGmlpaVi4cKHFNQ4cOGAxB51er8f9+/cB5C06AgC+vr5ITU3FuXPnzMcZjUZ88MEHSEpKKu0tsJCTk4O4uDgIgoCYmBhzXBAEfPzxxzh37hzc3d0LXfjkYbYwx+CVK1cQFxcHvV5vjvXu3RsNGzbE2rVrzT0jgbx/j88//xxqtRrjx4+3aGvIkCFwd3fHgQMHCr2Wg4MDAgMDkZKSYi6W5fvoo49w8OBBjB8/vsSedVLPMVie96wyVK/uGEREZFNSbl7FhYO7RLEeT75iHqpY3XQcOgFhvyxCWuJNcyzsl8+K7JFFREREJLXg4GBMmTIFP/74I7p3745hw4aZe8XdunULU6dOLbQnVEhICN555x3s3LkTzZs3x7lz57B9+3Z4eHiYi33FXUMQBGzatAk3b960uMZTTz0FNzc3dOzYEb6+vtDr9di3bx/Onz+PESNGwM/PDwAwZcoU7NmzB4MGDcKoUaPg4OCAiIgI3L59Gz169DD3RrTW2bNnYTQaUbt2bYwbNw7Dhg2Do6MjDh06hIyMDPOciNOmTcPixYvNhcrKsGLFCkRFRZnzBIDff//d/Fq7desm6pE3fPhwJCQk4OTJk2jQoAEAQKlU4uuvv8aYMWMwZMgQjB49Gi4uLti4cSMSEhIwb94887EPM5lM5vOL8uabb2LKlCl45plnMG7cONSqVQv79u3DiRMn0K9fP3zxxRflcyOsIOU9qwwsDBIRkWQOrV8u+jZX4+KGdgPHFHNGxTAFBQHZ2eKgk1Ol56FUO6DPxNew4bN3zLG46D24HnsUfi07VHo+RERERKXx6aefonXr1vj111/NvQCbNm2K2bNnY+LEiYWe07FjR7z11luYP38+fvjhBygUCgwZMgQffviheXGQkq7RrFkzzJ49G08//bTo2P/+97/YvXs3jh49iu3bt8PJyQmNGjXC559/Lspn0KBBWL58OT7//HP89ddfcHR0RK9evbBy5UqL4qQ18nuEzZ07F4cPHzYv8NKnTx98/PHHmDNnDrZt2watVlupRUEAiIqKwqpVq0Sx6OhoREdHm7dLGqoLAL169cL27duxYMECrF+/Hnq9HkFBQZg7dy5Gj7Yc/SMIAs6fPw8/Pz906tSpyHYff/xxyOVyLFmyBGvWrIFcLkeLFi3w9ddf4+mnn5Zk0RGp7lllkaWmpha9xjNRNaXVapGQkABfX19oNBqp0yEqlL0/pwZdLj4aHISs1GRzLHj8VIx4q+wfwqoCvTYHC0a0QWbygwm52/QfjacW/CphVmVn788pVR98Vske8DktP/fu3StylV16dCaTCTqdDmq12qKQc+DAAQwbNgzvvPMOZs+eXUQL9u2NN97AsmXLEBMTg6ZNm0qdjk04e/Ysunfvjs8++wyTJ0+WOh0AxT+ntq4838Ps65UTEVGVcXrPRlFREAC6jnleomxsh0rjiF5PTRPFYvdtRub9ss9zQ0RERESV59SpU3ByckJAQIDUqdiMqKgo1KlTx6J3J0mPhUEiIpJE1FpxDzj/Dj3g1ShQomxsS+cRE6FUPxhWYtTrcHTLqmLOICIiIiJbYDQacfbsWQQFBdldL7SK9MILLyAuLo69nW0Qn1IiIqp0ty+dwdUTUaJYt7EvSJSN7XGqUROtQkaIYjHrV1isrkdEREREtiUuLg45OTlo1aqV1KkQlQoXHyEiokoX/fcy0baLRx206DNEomxsU5dRz+L4tr/M2/euXcSV4wfh395yVT8iIiIie9GzZ0+kpqZKnUaFad68eZV+fVT1sMcgERFVKm1WBo5tXS2KdR7xDJQqtUQZ2aZG7bqjdoMmoljM+uUSZUNERERERFURC4NERFSpjm9bg9ysDPO2TC5Hl9HPSpiRbZLJZOg86hlR7FTYBmSn3ZcoIyIiIiIiqmpYGCQiokojCAKi//5FFGveYyBq1vWVKCPb1mHIBCiUKvO2QZeLY1v/J2FGRERERERUlXCOQSIiqjTXTsXg9sUzopgtLDqiOHYMSE8XB93cYGzfXpqE/uVS0xMt+w7DyV3rzLFD61cgePxLkMlkEmZGRERERERVAXsMEhFRpYleK+4tWMunIZp07SdRNg/Ibt2C/OpV0Y/s1i2p0wIAi2HWiZfP4dqpGImyISIiIiKiqoSFQSIiqhRZqck4ufsfUazr6EmQy/mrqDj+HXrCo34jUSzmHy5CQkREREREj45/jRERUaU4vHEljHqdeVuhUqPj8KckzMg+yOVydB4p7jV4cud65GSkSpMQERERERFVGSwMEhFRhTOZTIj++1dRrE3oSLjU9JQoI/vScdiTkCseTAusz83B8e1rJcyIiIiIiIiqAhYGiYiowl2M3oOUm1dFsa42sOiIvXD1qIMWvQeLYofW/wZBECTKiIiIiIiIqgIWBomIqMJFFVh0pF6TFmjQurNE2dinzqPEw4lvx8XixtnjEmVDRERERERVQZkKg8eOHcO4cePg5+cHb29vhIaGYv369aU+f9euXXj++efRqVMn+Pn5oV69eujUqROmTZuGS5cuFXqOu7t7kT8vv/xyWV4GERFVgvt3EnAuYoco1nXMC5DJZBJlZJ+adOmLmvV8RbFD63+TJhkiIiIiIqoSlCUfIhYeHo4xY8ZAo9Fg9OjRcHFxwcaNGzFp0iTcuHED06dPL7GNnTt34vDhw+jYsSNCQ0OhUqlw4cIFrFq1CmvWrMFff/2F3r17W5zn6+uLJ5980iLeqlUra18GERFVkpj1yyGYTOZttZML2j02TsKM7JNcLkfnEc9gx/cfmWMndvyNoW98BI2zq4SZERERERGRvbKqMGgwGPD6669DLpdjy5YtaN26NQBg1qxZCAkJwbx58zBixAj4+fkV2868efOwaNEii/j+/fsxYsQIzJkzB3v37rXY7+fnh9mzZ1uTMhERSchkNOLwxpWiWIch41nIKqOOw5/Crp8+gcloBADocrJwYsff6Dr6OWkTIyIiIiIiu2TVUOLw8HBcuXIFY8eONRcFAaBGjRqYOXMmdDodVq1aVWI7Go2m0Hjv3r3h7u6Oy5cvW5MWERHZqMvHIpB+77Yo1nXMJImysX816nijeY+BohiHExMREVFVsHr1asyYMQN9+vRBnTp14O7ujpUrV5Z8IhE9Eqt6DEZERAAA+vXrZ7EvJCQEABAZGVnmZGJiYpCamopu3boVuj8tLQ2//fYbkpOTUbNmTXTp0gUtWrQo8/WIiKhiHd++VrTt3bQV6gXwfftRdB71LM7s32revnnuBG6cP4H6zdpKlxQRERHRI5o/fz4SEhLg4eEBLy8vJCQkSJ0SUbVgVWEwPj4eANC4cWOLfV5eXnBxcbGqt9+ePXtw6NAh6HQ6xMfHY8eOHfDw8MDHH39c6PGxsbGYMWOGKBYaGoqlS5eidu3apX8hRERU4Qy6XJwO2yCKtR3EuQUfVWC3UNTw8kFa4k1zLGb9CtSf3Va6pIiIiIge0TfffAN/f3/4+fnhiy++wNy5c6VOiahasKowmJ6eDgBwc3MrdL+rq6v5mNLYs2cPlixZYt729/fHr7/+irZt21ocO23aNAwfPhwBAQFQqVQ4d+4cFi1ahF27duGJJ57Arl27oFAoSrymVqstdX5Ufel0OtF/iWyRrT+n58K3QZv54HeCTCZD895DbPJ92EGvh1yvF8VMej1ybTBXAGg3eDz2LVts3j6+7S+EvvR/UDs6S5hV4Wz9OSXKx2eV7AGf0/JjMplgemhxtOpo0aJFWLBgAdasWWMeAZhv+/btePLJJ/Hhhx9i2rRpVrctCIL5v6W9z7169QKQ929TlvOJrGXPz5nJZCry76qipu8ritWrEpen+fPnY/78+cjMzMSFCxfw6aefYuDAgViyZAnGjRtncezDOnfujNWrV2PYsGGIjIzEli1bMHz48BKveevWLRj/nbSdqCSJiYlSp0BUIlt9TqM3iOeEqdusHdJ1JqTb4LAQ96QkKFNSRDEDgFQbzBUA6rXvA9lvX0AQ8j7A5GZnInLDKgQEDyzhTOnY6nNKVBCfVbIHfE4fnVqtLrLA6rBtW7ley9CwIYzNmxd7jOLcOSivXi2xrdzHHiunrICTJ08CAJo3b25xL44dOwYACAoKeqRCtL7AF6+llf83u8FgYCGcKlxZn1MpabXaQjvmKRQK+Pv7W9WWVYXB/J6CRfUKzMjIgLu7u1UJAICLiws6dOiAlStXok+fPpgxYwb69u0LT0/PYs+Ty+V49tlnERkZiUOHDpWqMOjt7W11flT96HQ6JCYmwsvLC2q1Wup0iAply8+pNisDCccjRLFOQyfA19dXooyK5+DpabEal8nTE642mi98fdG4U29citlrDt0+cQB9x0+WMKnC2fJzSvQwPqtkD/iclp+0tLQi76Hq/v1yvZa8Xj0YS/j3UuTmQlGK6wrl+O8eGxsLb2/vQv9GPnPmDACgffv2Rd6npUuXIi0trcj2jUajaFTfkCFD0KpVq1Llln+eUqnks04VRhAE6PV6qFQqyGQyqdOxikajgZeXV7m0ZVVhMH9uwfj4eIvhvomJicjMzET79u3LnoxSiZ49eyI2NhbHjx9H//79SzzHw8MDAJCdnV2qa1jbpZKqN7VazWeGbJ4tPqexu9fBoHvQtV2hVKHdwDE2l2c+pUoFmUoligkqFWQ2mi8AtB88TlQYvBi9ByadFk5u7tIlVQxbfE6JCsNnlewBn9NHl5GRAbm84NeCeWRFxMtKLpdDKKFNuVxequsWlbO1UlNTcf36dTz22GOFtnnq1Cn4+fmhVq1aRbbx/fffW7VASIMGDdCmTZtSHZtfpJHJZOX2mokKyh8+bI/PmVwuL7ffA1a98uDgYAB5cwMWFBYWJjqmrO7cuQMAUBX4A60oR44cAQD4+fk90nWJiKj8nCiwGnHTbiFwdi/6gyVZr0WfIVCoHnyDbjTocWbfZgkzIiIiIntx6tQpACi0UJeUlISbN2+idevWxbZx+vRppKamFvqTkpKCO3fuICUlxRx76qmnKuS1ENGjsaow2Lt3bzRs2BBr1641v5EAed2wP//8c6jVaowfP94cv3PnDuLi4iy6Fx8/frzQ9sPCwrB582bUqFEDnTp1MsfPnDlT6JjvQ4cO4auvvoJKpcLIkSOteSlERFRBMpLv4mLMPlGsHVcjLneOLjXQrHuoKHZy5zqJsiEiIiJ7kv/3fGHFv/y5B0sqDBJR1WDVUGKlUomvv/4aY8aMwZAhQzB69Gi4uLhg48aNSEhIwLx589CgQQPz8XPnzsWqVavw7bffir4d6Nu3L4KCgtCiRQt4e3sjOzsbsbGxiIqKgkqlwpIlS+Ds/GBlxSVLlmDnzp3o2rUrfHx8oFKpcP78eezZswcymQyfffYZGjVqVA63g4iIHtWpXeshPLSql9rRGUG9BkmYUdXVZsAYnNm/1bx96fB+ZN5PgkvN4ufoJSIioqIJJcx1b3V7Li6lOqa8r1uc4noMHjp0CEDJhcHvvvuuyDkGBUEwzzGYPyx4yJAhLDYS2SCrVyXu1asXtm/fjgULFmD9+vXQ6/UICgrC3LlzMXr06FK18Z///AcHDhxAZGQkkpKSIJfLUb9+fTz33HN4+eWXERgYKDp+8ODBSEtLQ2xsLPbt2wedTgcvLy+MGTMGL7/8Mjp06GDtyyAiogpyfId4GHGLPkOgdnQu4mgb4egIODlZxmxcUK9BUGmcoNfmzbNrMhpxOmwjuo19XuLMiIiI7Jdh6NBKv6YpKAimoKBKu97p06chk8lQr149cR4mEzZt2gSg5MLg0qVLrZpj0M/Pj4VBIhtkdWEQADp06IC1a9eWeNzSpUuxdOlSi/jMmTMxc+bMUl9v2LBhGDZsmFU5EhFR5Uu+cRXXTx8WxdoOHCtRNqVnCAmROoUyUTs6I6jnIJzc9WAI8cmdf7MwSEREREXKyclBXFwcBEFATEwMunbtCiCvl9/HH3+Mc+fOwd3dvdDVih92+vTpIveZTCbodDqo1Wq7W9SBqLopU2GQiIioMCcK9BZ0qlELTbv2lSib6qHNwNGiwuCV4weRdvcWatQp/sM8ERERVU9nz56F0WhE7dq1MW7cOAwbNgyOjo44dOgQMjIyIJPJkJGRgWnTpmHx4sVwcHColLxWrFiBqKgoc44A8PvvvyMiIgIA0K1bNzzzzDOVkgtRdcLCIBERlQtBEHB8+xpRrE3/UVAoS7fKPJVNYLdQaJzdoM1KB5D373Bq9z/o+eQrEmdGREREtih/fsG5c+fi8OHD+PvvvwEAffr0wccff4w5c+Zg27Zt0Gq1lVYUBICoqCisWrVKFIuOjkZ0dLR5m4VBovLHwiAREZWL2xdjcffKBVGs7SDbH0Zs71QOGrToOwRHNz/4IH1y5zoWBomIiKhQ+YXBjh074sknn8QXX3wh2v/zzz9LkVaRU5ERUcXiYH8iIioXJ7aLhxHXrOeLBq27SJRN9dKmv3jxr+uxR5By86o0yRAREZFNO3XqFJycnBAQECB1KkRkA1gYJCKiR2YymXBix9+iWNuBYznZdCVp0qUPnGrUFMVO7vpHmmSIiIjIZhmNRpw9exZBQUH8nEZEAFgYJCKicnDtZDRSE2+IYhxGXHkUShVa9Rship3c+XcRRxMREVF1FRcXh5ycHLRq1UrqVIjIRnCOQSIiemTHtokXHanbOAj1AlpIlE311GbgaBxa/5t5+1bcady9Goc6DZtKlxQRERHZlObNmyM1NVXqNIjIhrDHIBERPRKDXofTYf+IYvbWW1B2/z5kd++Kf+7flzotq/i3C4arh5codnLnOomyISIiIiIie8DCIBERPZK46D3IThMX0doOGF3E0bZJERkJ5datoh9FZKTUaVlFrlCgdf+RotjJnesgCII0CRERERERkc1jYZCIiB5JwdWIG7Tuglo+DaVJppprO2CMaPvu1TjcvhgrUTZERERERGTrWBgkIqIyy83OxJn9W0WxdnY2jLgq8WvVCe5164tiHE5MRERERERFYWGQiIjK7Gz4Nui12eZtuUKB1qEjpUuompPJZGjTXzyM++QuDicmIiIiIqLCsTBIRERldjpso2i7SZe+cKlVW6JsCMhbnfhhKTevIeHMMYmyISIiIiIiW8bCIBERlYlem4MLUWGiGHsLSs8nsA08/RqLYid3/i1RNkRERLaLPeqJyB6V93sXC4NERFQmcdF7RMOIZXI5gno9JmFGBPw7nHhAweHE62EymSTKiIiIyPaoVCrodDqp0yAisppWq4VGoym39lgYJCKiMondt1m03ahddzi7e0iUDT2s4OrE6fdu4+qJKImyISIisj1ubm5IS0uD0WiUOhUiolIRBAE5OTnIzMyEs7NzubWrLLeWiIio2jAaDDh3YLso1rLPEImyoYK8/JuhbkAQ7lw6a46d3LkO/u2DJcyKiIjIdsjlcri7uyM1NZW96iuAyWQy92qSy9kfiWyTPT6nGo0GHh4e5ZovC4NERGS1KycOIjvtvijWgoVBm9Km/2hRYfD03k0YMWuR3XzoISIiqmhqtRoeHhztUBG0Wi3S09Ph5eVVrkMeicoTn9M8/OuAiIisdmaveBixT7M2qFnPT6JsqDCt+48SbWcm30VC7BGJsiEiIiIiIlvEwiAREVlFEASc2bdVFGNvQdtT268xvPybiWJn9m8t4mgiIiIiIqqOWBgkIiKr3Dx/EqmJN0Sxln2GSpQNFSeo92DR9lkWBomIiIiI6CEsDBIRkVViCwwj9vD1h1fj5hJlQ8VpUaAwePdqHO5evShRNkREREREZGtYGCQiIquc2ScuDLbsMxQymUyibKg49YPaw9WzrijGXoNERERERJSPhUEiIiq1e9cuIfHyeVGM8wvaLrlcjqBej4linGeQiIiIiIjysTBIRESldmbfFtG2q4cX/Fp1kigbKo2Cw4mvn45BRvJdibIhIiIiIiJbwsIgERGVWmyBYcRBvQdDLuevElsW0KkX1E4u5m1BEHD2wHYJMyIiIiIiIlvBv+aIiKhU0u7dxvXTh0WxlhxGbPOUagc06x4qip3dv6WIo4mIiIiIqDphYZCIiErl7P5tom2Nsxsad+olUTZkjaACw4kvHtqH3OxMibIhIiIiIiJboZQ6ASIisg8FVyNu1mMAlCq1RNmUL2P79oBOJw6qq8ZrA4BmwQMgVyhgMhoBAAZdLuKi96BVv+ESZ0ZERERERFJij0EiIipRTkYqLh0OF8Va9h0qUTblT/D2htCwofjH21vqtMqNk5s7/Dv0EMXOcnViIiIiIqJqj4VBIiIq0bmInTAZDeZtpdoBTbuFSJgRWatFL/Fw4nMRO2A0GIo4moiIiIiIqgMWBomIqERn9okXqwjo3AcaZ1eJsqGyCOr9mGg7O+0+rp6IkigbIiIiIiKyBSwMEhFRsfTaHFw4uFsU42rE9qdmPT94B7YWxc5wODERERERUbXGwiARERXrYsw+6HKyzNsyudxilVuyDy0K/LudDd8KQRAkyoaIiIiIiKTGwiARERUrdq94NeKGbbrApaanRNnQoyhYGEy5eQ13Lp2RKBsiIiIiIpIaC4NERFQko8GAs+HbRLEWfarOasTVTb2mrVCznq8oxuHERERERETVFwuDRERUpKsno5GdliKKcX5B+yWTySyGgbMwSERERERUfSmlToCIiGzXmX3iYcT1mrZELZ+G0iRTgRSRkZDdvy+KCTVrwhgcLFFGFadF78GI/N8P5u2b504g9c4NuNetL2FWREREREQkBfYYJCKiQgmCYDG/YMsqOoxYdv8+ZElJ4p8ChcKqolG77nB0rSGKFRwuTkRERERE1QMLg0REVKjbF2OReueGKNayb9UsDFYnCqUKzXsMFMU4nJiIiIiIqHpiYZCIiAp1PmKnaLumtx/qBrSQKBsqT0G9xfNExh85gJyMVGmSISIiIiIiybAwSEREhTpXoDDYPHggZDKZRNlQeWrarR8UKrV522Q04HzkbgkzIiIiIiIiKbAwSEREFrJSU3A99rAo1qzHAImyofKmcXZFk859RLGzHE5MRERERFTtsDBIREQWLkTthmAymbdVDo5o3KGHhBlReQvqPVi0ff7gLhh0uRJlQ0REREREUmBhkIiILJyP3CXaDujcCyqNo0TZUEUI6jVItJ2blYH4oxESZUNERERERFJgYZCIiERMRiPiosTzzTULHljE0WSv3Dzrwq9VJ1HsfMQOibIhIiIiIiIpsDBIREQi108fRnbafVGsWY/+EmVDFSmop7jX4LmInRAEQaJsiIiIiIiosrEwSEREIucixasR1w0IQs26vhJlQxWpWbC44Jty8yqSrsdLlA0REREREVU2FgaJiEik4HDSZsFcjbiqqte0FVw964pi5zicmIiIiIio2mBhkIiIzFLv3MDti2dEseY9WBisqmQymUWvwQsFFp4hIiIiIqKqq8yFwWPHjmHcuHHw8/ODt7c3QkNDsX79+lKfv2vXLjz//PPo1KkT/Pz8UK9ePXTq1AnTpk3DpUuXijwvLCwMgwcPRv369eHr64uhQ4di//79ZX0ZRET0kIKrETu6ucOvVWeJsqHKULAwePlYJHKzMyXKhoiIiIiIKlOZCoPh4eEYOHAgoqOjMWrUKEyaNAmJiYmYNGkSvvnmm1K1sXPnThw+fBgtW7bEU089hRdffBH+/v5YtWoVgoODCy32rV69GmPGjEFcXBwmTJiA8ePH4/z58xg5ciQ2bNhQlpdCREQPKTiMtGnXECiUSomyocrQpHMfyBUP/o2NBj0uxfALNyIiIiKi6sDqv/YMBgNef/11yOVybNmyBa1btwYAzJo1CyEhIZg3bx5GjBgBPz+/YtuZN28eFi1aZBHfv38/RowYgTlz5mDv3r3meGpqKmbNmgUPDw/s378fPj4+AIAZM2agV69emDlzJvr16wdXV1drXxIREQHQ52px6XC4KMZhxFWfxsUNjdp1Q/yRA+bY+chdaNFniIRZERERERFRZbC6x2B4eDiuXLmCsWPHmouCAFCjRg3MnDkTOp0Oq1atKrEdjUZTaLx3795wd3fH5cuXRfF//vkHaWlpmDJlirkoCAA+Pj548cUXkZycjM2bN1v7coiI6F+Xj0ZAr802b8tkMgR2D5UwI6osBReYOX9wFwRBkCgbIiIiIiKqLFYXBiMiIgAA/fr1s9gXEhICAIiMjCxzQjExMUhNTUVQUFClXpeIqLorOIzYr1UnOLt7SJQNVaaC8wymJd7EnfizEmVDRERERESVxeqhxPHx8QCAxo0bW+zz8vKCi4uLRW+/4uzZsweHDh2CTqdDfHw8duzYAQ8PD3z88celvm5+LP+Y4mi12lLnRtWXTqcT/ZfIFpXncyoIAs5F7BTFArr0qzbvmQ56PeR6vShm0uuRW01ev1u9BnCvWx+pd26YY7H7tqJmfcvfudbi+ynZCz6rZA/4nJK94LNK9qCqPqdFjdAtitWFwfT0dACAm5tboftdXV3Nx5TGnj17sGTJEvO2v78/fv31V7Rt27bU182fV7A017116xaMRmOp86PqLTExUeoUiEpUHs9p6s2ruH/rmihWw78lEhISHrlte+CelARlSoooZgCQWk1ePwB4t+qK1Dtrzdun921Fw94jy619vp+SveCzSvaAzynZCz6rZA+q0nOqUCjg7+9v1TmSLzU5f/58zJ8/H5mZmbhw4QI+/fRTDBw4EEuWLMG4cePK/Xre3t7l3iZVPTqdDomJifDy8oJarZY6HaJCledzej1CPEerW+16aNMjBDKZ7JHatReqgADIU1NFMZO7O1x9faVJSALt+o/A2V0PCoN3L56Cp7sbHF1rPFK7fD8le8FnlewBn1OyF3xWyR7wOc1jdWEwv8deUb3zMjIy4O7ubnUiLi4u6NChA1auXIk+ffpgxowZ6Nu3Lzw9PS2uW6tWLYtrPnxMcaztUknVm1qt5jNDNq88ntNLh/aItpv1GABHR8dHatOu9O1rEVL8+1NdNO8eAqXaAQZdLgDAZDQi4WQUWoeOLJf2+X5K9oLPKtkDPqdkL/iskj2o7s+p1YuPFDefX2JiIjIzM63utvgwpVKJnj17IisrC8ePHy/VdYubf5CIiIqXk5mGK8ejRLGCi1FQ1afWOKFxx56i2PnInUUcTUREREREVYHVhcHg4GAAeXMDFhQWFiY6pqzu3LkDAFCpVJV6XSKi6uhi9D6YjAbztkKlRpPOfaRLiCTTrLu4IHz+4G6YTCaJsiEiIiIioopmdWGwd+/eaNiwIdauXYtTp06Z42lpafj888+hVqsxfvx4c/zOnTuIi4tDWlqaqJ2HewM+LCwsDJs3b0aNGjXQqVMnc3zUqFFwc3PDjz/+iJs3b5rjN2/exE8//QQPDw8MHTrU2pdDRFTtnY/cIdr2bx8MBycXibIhKQUW6CmamXwXty6cKuJoIiIiIiKyd1bPMahUKvH1119jzJgxGDJkCEaPHg0XFxds3LgRCQkJmDdvHho0aGA+fu7cuVi1ahW+/fZbPPXUU+Z43759ERQUhBYtWsDb2xvZ2dmIjY1FVFQUVCoVlixZAmdnZ/Px7u7uWLRoEaZOnYrevXtj1KhRAID169cjJSUFy5YtM69OTEREpWMymXA+cpco1rzHAImyIal5+vrD0y8ASdcvmWPnI3eifvO20iVFREREREQVpkyrEvfq1Qvbt2/HggULsH79euj1egQFBWHu3LkYPXp0qdr4z3/+gwMHDiAyMhJJSUmQy+WoX78+nnvuObz88ssIDAy0OOeJJ56Ah4cHFi9ejD///BMymQxt2rTB22+/jT59+pTlpRARVWs3z51AZso9UaxZj4ESZUO2oFlwf0Q8XBiM2InQybMkzIiIiIiIiCpKmQqDANChQwesXbu2xOOWLl2KpUuXWsRnzpyJmTNnWn3d0NBQhIaGWn0eERFZOhchHkbs6RcAT9+yLyBF9q9Z8ABErHrwezvhzFFk3k+CS01PCbMiIiIiIqKKYPUcg0REVHVc4DBiKsC/fXeoNE7mbUEQEBcVJmFGRERERERUUVgYJCKqpjKS7yLh7DFRrLoOI5bdugXZ1avin1u3pE5LEkq1A5p07i2KFZyHkoiIiIiIqoYyDyUmIiL7duGguNjj4OyKRu26SZSNtBTHjkGWlCSKCZ6eMHh7S5SRtJoFD8DZ8G3m7QtRu2EyGiFXKCTMioiIiIiIyht7DBIRVVPnInaKtpt07gOlSi1RNmRLmgX3F23npKfieuwRibIhIiIiIqKKwsIgEVE1ZDQYcPHQXlGsYDGIqi/3uvVRNyBIFONwYiIiIiKiqoeFQSKiaijhzFFoM9NFscDuXPGdHmgWLF6I5nzkziKOJCIiIiIie8XCIBFRNXQhardou27jINSoUz3n06PCFexBeuvCKaTduy1RNkREREREVBFYGCQiqobiovaItpt2D5EoE7JVDVp3hsbFTRSLO7i7iKOJiIiIiMgesTBIRFTNZKUm48bZY6JYYFcWBklMoVShadd+ohjnGSQiIiIiqlpYGCQiqmYuHtoHQRDM2yqNExq27SphRmSrCg4njju0F0aDXqJsiIiIiIiovLEwSERUzRScX7Bxx55QOWgkyoZsWWA38YI0uVkZuHYqRqJsiIiIiIiovLEwSERUjQiCYDG/YGCB4aJE+Vw9veDdtJUoVvD5ISIiIiIi+8XCIBFRNXL7YiwykhNFsabdQ4s4mggILPB8XIgOkygTIiIiIiIqbywMEhFVIwV7e9XyaQBPX3+JsiF7UHABklvnTyLzfpJE2RARERERUXliYZCIqBopOL9gYLdQyGQyibIhe9CgTReonVzM24Ig4OKhvRJmRERERERE5YWFQSKiaiI3OxNXT0SLYgV7gxEVpFSp0bhDD1HswsHdRRxNRFRxXBeFwnURp78gIiIqT0qpEyAiosoRf+QAjAa9eVuuUKJxp14SZkT2IrBbCM4d2G7ejju0FyaTCXI5v1+kqk1+6xzUMauhvHoE8vREwJALwbEGjF5NYWjaA/p2IyA415I6TZuluBwDl1+eE8UEpRqCax0YGneFts9UCDV9pEmOiIiIALAwSERUbVyIEi8a0bBNF2icXSXKhuxJ024hou3M5Lu4czEW3oGtJcqIqIKZTNDs+AwOEb9BkCtgbNgRuibBEFSOkGelQHH9BBy3LYImbAkyZmyFUMNL6oxtmsG7BQzNegMAZNoMKC/HQH1kLZRndiLrpf/B5NmwVO1kPf9rBWZJRERUPbEwSERUTcQVKAwWXG2WqCievv6o5dMQKTevmmMXovawMEhVlsOuL+EQ8RuM3kHIHr8YJo8GFsfIb56FZsdiyAxaCBLkaE+MPi2QGzLtQUAQ4Lh2NtQnNsJh34/IGftxqdoxefhVUIZERETVFwuDRETVQFLCZSTfuCKKcX5BskZgtxBErf3FvB0XHYa+z82QLiGiCqJIvgaHiGUwOddC1nM/FjlU2OQThOznfwGMBlFcdeRvqM7tgeLOBcgykyCoNDD6tEJu78kw+ncRX+vfobbafq/AEBAMza6voLgZC0HpAH3LgdAOngWoNFCe3w+Hfd9DcScOgtoJ+vYjoO0/A1A8+CivOrYeTn//H7LHfATB0T3v+MSLEDRu0HUYnVeYk8uhOvYPHCKXQ550FYJzTeR2ewq6ni+I8pKl380bQn0pEvKUG5BpMyC41oa+aS/khrwKwcXj0W6yTAZd1wlQn9gIxc3TeaH7N+H2WX/o2o1Ebq8XoNn5JRRXj0Cek4b0t3ZBqOljnl8w4+0C85zqsuEQ/gtUp7dDnnoz7577tkVunykwNmgvOtQhbAk0e75D5gu/QZ56Ew4H/4A86QqM9Vsha/LyR3tdREREdoiFQSKiaqBgb0EXjzqo17SVRNmQPWratZ+oMHj1RDRyszPh8NCKxURVgebkJshMRuR2erx08wcqxB+nHTfNh7FeIAyNu8HkXBPy9LtQnQuD8tcXkP3kVzAEhVg2kXAKDuG/wNAkGLrOj0N5OQYOMf+DLDcThmZ94fj3e9A37wejX1soL+yHw4FfIaidkNvvFYu2VGd2Q3npIPRBITA2aA/lhf3Q7PsegABB4wLN3h+gb94PhkadoDqzC47bF0Nw8YS+3QhzG8qrR+AQ+RsM/l2hr98aUCihuHUODjH/g/JSJDJfXQtoymsqCploS55yHS7fT4CxblPo24+ELDsNUKiKPl2fC+dfJkF54zSM3kHI7f4M5JlJUJ3eDuWlSGQ/vgiGVoMsTnM48CuUV2Kgb94P+ibBgIxzphIRUfXEwiARUTVwIUrcuyKwaz8uHEFWadyxJ+QKJUz/9o4yGvSIPxqBoJ6Wf3AT2TP1zVMAAIN/5zKdn/H6Jgi16oti2vR7cPluHDTbP0NmIYVB1cUIZD31zYOioVEPl+8eh+rUFigvRiLrxRUw1v/3y5yQaXBdPAjqg78jt/eLFkUz5cUDyJqy0uJ4h8gVEByckTHtbwi1fAEAuT0mwfXzQXA4sExUGDT4d0H6u+GAg7M4z+Mb4LR2NhyiViK370tluj8AAEGA+tDqvJdaX/wllfLaMWj7vozc0OmlasrhwC9Q3jgNXZuhyBm3EJDlFRpzuz0Nl+8nwOmfOUhv2tPitSivHkbmS/+DqW7Tsr8OIiKiKoCFQSKiKs6gy0X8kQhRrOBiEtWdMTgY0OvFQVUxPVSqIY2LGxq06Ywrxw6aY3FRYSwMUpUjz0wGAAhudSz2KS7HQHklRhQzNOoM40NFxIJFwby2akPfsj8colZCdv+mxUq8Bv8u4p6EChX0LQZAc+cC9M36iItnDs4wNOsN9dF1kKUlWlxP32ZYkcfn9nrBXBQEAMG9HowN2kNx9UjekOh/ez8WNVRY33Y4hE0fQRkfbVVhUHHzDBzClgAAZNpMKK/EQHH7PEyONZDbZ6roWJOLp0WsOKrjGyAolNAOnGkuCgKAyTsI+nYjoT6yBqqzYdC3Gy46T9fpcRYFiYiIwMIgEVGVd/VkNHQ5WeZtmUyGJl36SpiR7RFq1pQ6BbsQ2DVEXBiM3iNhNkSVT3klBpo934li2n4QFQZlKQnQ7P8JisuHIE9PhMygEx0vz7gHY4HCoLFeM4trmVxrl7hPnnEXxgKFwbK0pTQZIctMFq2urDyzC+qYv6C4dRYybTpkJuOD15hx16Kd4ihvnYHy1hkAgKBQQXDzgq7jOGj7TLEokhrrNQOU6tI1rM2EIiUBxtr+EGrUtdht8O8M9ZE1UNw+Z1EYLNhTkYiIqLpiYZCIqIqLixIXb3yat4VLTU+JsiF71rRbCLZ/N8+8nXQ9Hsk3rsKjfkPpkiIqZyZnDyDpCmTpd4Ha/qJ9uSHTzKvrqk5thdPqt0T75cnX4Lz0Cchys2Bo1BmGZn0gOLgAMhmUVw5DeeUwUKBQCABCgWGuAACFIm+fppB5POV5+woufFLS8YJDYfv+/XPA9KAtdcQyOG5bBJNzLRiadIfgVheCygEA4HDwd4tiZ0lyOz0O7cg5pTrWmoVNZLmZ/55T+O+0/IKoLDfLct+jLqBCRERURbAwSERUxVnML8hhxFRG3oGt4VzTE1n3k8yxuOgwdBv7QjFnEdkXXf3WUF87AuXlGBgbd7XqXHXkCshz0pE97hPo24p7qMn+mZNXGLR1RgM0e7+HybU2MqetExfqBAEOB36t4ARkJR/yr/xCpywzqdD98n/jhRZerbgOERFRVcaZ54mIqrC0e7dx++IZUYzzC1JZyeVyNO3aTxQruOI1kb3TthkGQSaH+vAayLLuW3WuPCUBAKBvXuB9VhCgvH68vFKsULLs+5BpM2D0a2vRe09xMxYyvVaizAqhcYGxli/kKdchS0u02K24nDcfpLFe88rOjIiIyG6wMEhEVIVdLDAHnMbFDX4tO0mUDVUFBQuDl44cgNGgL+JoIvtj9GiA3J7PQ56VDKflUyFPvlbocbKcdIuYyb0eAEB59ago7hD+ExSJF8s/2QogOHtAUGmguHUW0OU82JGTBs3mj6RLrAj6diMgMxqg2fkFIAjmuPzOBaiP/wNB4wp9IStBExERUR4OJSYiqsIuHBT35gro1BsKJd/6qewKFgZzszJw7VQM/NsHS5QRUfnL7T8DMqMeDpHL4fLlUBgbdoSxbiAElQbyrBTI71yA8sZpCGon0YIeus5PQH1sPZxWzYC+5SAITjWgSDgFxa2z0Af2hurCfglfVSnJ5dB1GQ+HiN/gsmQUDM365q0kHHcAppreMLlartYspdyeL0B5YT/UJzZCfu8yDI27Qp6ZDNXp7YDJiOyRc4FChxITERERwB6DRERVlsloxMWYvaJYYPdQibKhqsLVow68m4pX8yy4wA2R3ZPLoR38DjJeXQtdh9GQZdyD+shaOET8CuX5vYDaCTmD3kLGmztgCHrwvmryDkLWcz/D6B0E1dldUB9dD0HjiswpK2H0aSHhC7KOdsAb0PZ/HYAM6kOroIw/CH2bwch67idAYWNfLqkckPXCMmj7vgxZbiYcIpdDdTYMhkYdkfXCbzC0GiR1hkRERDZNlpqaKpR8GFH1otVqkZCQAF9fX2g0GqnTISpUSc/p9dgjWPKcuBA4e/Np1KzrW1kpUhW19Zs52Lf8S/O2T/O2eP33fYUey/dTshd8Vske8Dkle8FnlewBn9M8NvaVHxERlZcLBRaFqNMokEXBIijDwiBLThbFBA8PGEI4L1VhmnbrJyoM3jp/Epn3k+BS01O6pIiIiIiIyGocSkxEVEUVXC02kKsRFy0nB8jOFv/k5JR8XjXVsE1XqB0fzNklCAIuHtpbzBlERERERGSLWBgkIqqCstNTcT32iCjWlIVBKidKlRqNO/YQxQoWoomIiIiIyPaxMEhEVAVditkPwWQybysdNPBv113CjKiqadpVXGi+EL0HpoeeOSIiIiIisn0sDBIRVUFxh8SrxPq36w6VxlGibKgqKtgDNTP5Lu5cjJUoGyIiIiIiKgsuPkJEVMUIgoCL0eLCYNOu/STKhqoqT19/1PJpgJSb18yxC1F74B3YWsKsiKoQQYDs/g0o7sYDei1kggAIRkAwASZT3n8FATAZAaUKJo8GMNYJABzdpM6ciIiI7AgLg0REVUzS9Xjcv50girEwSOVNJpOhadcQRP/9qzkWFx2Gvs/NkC4pIntlNECedAWKW+eguHUWitvnoLh9HjJthtVNmVzrwFinMUxeATDW/ve/dRoDjjUqIHEiIiKydywMEhFVMXEFegu6etaFV+PmEmVDVVnTbv1EhcGrJ6KRm50JBycXCbMisgOCAMWN01Cd3AxFwkko7sRBZsgtl6blGXchz7gLxEeJ4qaa9aEPCoG+1SAY67cGZLJyuR4RERHZNxYGiYiqmIKFwaZd+0LGPwCpAgR07AW5QgmT0QAAMBr0iD8agaCegyTOjMg2yTKToTqxCeqj66C4e6lSry2/fwMOkcvhELkcJvd60LcYAH3LQTD6skhIRERUnbEwSERUhRj0OsQfjRDFOIyYKorGxQ0N2nTGlWMHzbG4qDAWBokeZjRAGXcA6qProLywHzKTwarTTU7uEJxrATI5IFfkFfFkcggyBSCXATIFZNp0yJOvQWYsXdvy1NsPioQ16v5bJBwIo28bQM61CYmIiKoTFgaJiKqQ66cPQ5edKYo16dxHmmSoWgjsGiIuDEbvlTAbItshT74G9eG1UB3fAHlmUqnOMdWoC6N3EIz1msPo3RxG7yAIbl6l69Fn1EOefB3yu5eguBuf99/ES5AnXy22YChPuwOHgyvgcHAFjJ4Nkdv7RejbDAUUqtK+VCIiIrJjLAwSEVUhBYsy3oGt4VKrtkTZUHXQpGs/bP9unnk76fol3L99HTXr+UmYFZGEctKgCfsW6kOrIDMZiz3UVLM+dG2HwdiwA4z1mkNwrln26ypUMNVpDFOdxhCVAY16yBMvQnVmN1SxO6BIulJ0E0lX4fT3/8G05ztoe70IffuRgFJd9pyIiIjI5rEwSERUhVy0mF+Qw4ipYvkEtoZTjVrITksxx+IO7UOXkc9ImBWRBIwGqA//BYfd30Cek1bkYYJKA32LAdB1GAVjw04VP3RXoYLJOwi53kHIDZ2eVySM3ZFXJLx3udBT5PdvwmnDHJj2fY/cns9D13EsoNJUbJ5EREQkCRYGiYiqiKzUFNw4d1wUa9q1r0TZUHUhVyjQpHMfnNy1zhy7GL2HhUGqVhSXDsJxyyfFLihi8G0DXftR0Ld+DNC4VmJ2D5HJYKrbFLl1myI3ZBrkdy9BdXp7kUVCedodOG7+GA77fkRuz0nQdXoccHCWIHEiIiKqKCwMEhFVEZcO74cgCOZtlYMjGrbpKmFGVF007dpXXBiM2QeT0Qi5QiFhVkQVT558DZqtn0J1vvC5NQWlGrrO46HrNBamOgGVnF0JZDKYvJog16sJckOmQRkXDoe930OZcNLiUHlmEhy3LYLD/p+QGzINus5P5C2EQkRERHaPhUEioioirsAwYv8OPaBUO0iUDVUnTbqIe6bmpKfixrkT8GvZQaKMiCqYNhOafd9DfXBFkQt76FsOQM7AtyDUql/JyZWBTAZDYG8YmvaCIj4Kmr3fQ3n1iMVh8uxUOG6aD9WJjcgZORemuoESJEtERETlqYInNSEiosogCAIuFlh4hMOIqbK4162POg2bimIF57skqirkt87CdcloOBz4tdCioLFeM2ROXo7sCV/aR1HwYTIZjAHdkfXiCmROXgF9QPdCD1MmnILLt2Oh2b4Y0OVUcpJERERUnlgYJCKqAu5du4jUxBuiGBceocrUpEAhOu4QC4NUxQgCVIfXwuWHJyG/f8Nit8nZA9kjP0TmK2tgbNRJggTLl7FRR2RP+hmZL62CPrCPxX6ZyQiHA7/A9esRUF6MqPwEiYiIqFywMEhEVAUUHEZco4436jTiEC+qPAUL0ddOHYY2K0OibIjKmS4Hjuv+D07//Acyg060S1AokdtjEjJmboW+09gqN/ee0bcNsp/5DpkvLIPRo4HFfvn9G3D+bQoc/3obssxkCTIkIiKiR1GmwuCxY8cwbtw4+Pn5wdvbG6GhoVi/fn2pzhUEAbt27cLMmTPRvXt3+Pn5oV69eggODsbixYuh1WoLPc/d3b3In5dffrksL4OIqMqIKzCMuEmXvpDJZBJlQ9WRf/tgKJQq87bJaMDlo+xFRPZPnnQVLj88CfWxfyz2GfzaIvO1jdA+9rZ0Kw1XEqN/F2RO/wfavi9DUFhOU64+uQUuXw6B6sjfwEMLYREREZFts3rxkfDwcIwZMwYajQajR4+Gi4sLNm7ciEmTJuHGjRuYPn16sefn5uZi3LhxcHBwQI8ePRASEgKtVos9e/Zg3rx52LJlCzZv3gwnJyeLc319ffHkk09axFu1amXtyyAiqjIMulzEHzkginEYsXUEb28ILi7ioJubNMnYKQcnFzRo00VUDIyL3gP/zpzrkuyX8swuOP39f5DlZlrsy+0+EdqBbwJKtQSZSUTlgNzQ6dC3fgyO/8yB8tox0W55Tjqc1n8AfVw4skfPr/LFUiIioqrAqsKgwWDA66+/Drlcji1btqB169YAgFmzZiEkJATz5s3DiBEj4OfnV2QbCoUC77//PiZPngx3d3dzXK/XY+LEidi+fTt+/vlnvPbaaxbn+vn5Yfbs2dakTERU5SXEHoFem23elslkaNKlj3QJ2SFj+/ZSp1AlNO3ar0BhcC8GWf46J7J9Rj00O7+AQ8RvFrsEtROyR8+HodWgys/LRpjqBCBr8gqojv4Nx+2LIdOmi/arzuyCy+3zyJ7wBUzeQRJlSURERKVh1VDi8PBwXLlyBWPHjjUXBQGgRo0amDlzJnQ6HVatWlVsGyqVCm+99ZaoKJgfnzlzJgAgMjLSmrSIiKq1S4f3i7a9m7WBs7uHRNlQddaki7h3YNL1S7h/+7pE2RCVjTwzGc6/TCq0KGisE4DMV9ZU66KgmVwOfadxyJixCbrWgy12K1IS8oZgx6zm0GIiIiIbZlWPwYiIvF4A/fpZDlELCQkB8GhFPZUqb24ihaLwSZvT0tLw22+/ITk5GTVr1kSXLl3QokWLMl+PiKgqiI/ZJ9rmMGKSik9gazjVqIXstBRzLP5wOLza9ZYwK6LSU2UloebGD6FMuWaxT9d2OHJG/AdQW053U50JrrWR88Rn0LcZCse/34M8O9W8T2bQwXHDXCiuHkHOiDmAg7NkeRIREVHhrCoMxsfHAwAaN25ssc/LywsuLi64fPlymZP5448/ABReeASA2NhYzJgxQxQLDQ3F0qVLUbt27VJdo6jFTYgeptPpRP8lskU6nQ456fdxK+60KN6wXTDf60gy/h17IjZsg3n74qG98GrXm++nZPOMd6+i2bb3oMxMFMUFhQoZA99GTvsxgEkG8P21cA27Invyn6jx9ztQ3xT/XlKf3AL5jTNIHbsIxjqWf0dQ6fEzKtkLPqtkD6rqc6rRaKw63qrCYHp63vwhbkVMyO7q6mo+xlq7du3CsmXLEBgYiIkTJ1rsnzZtGoYPH46AgACoVCqcO3cOixYtwq5du/DEE09g165dRfY0fNitW7dgNBrLlCNVP4mJiSUfRCShW7GHRUO0lA6OkLnXRUJCgoRZUXVWq3Fr4KHC4OUjB9DdZOT7Kdk0h7SbCNzxAdTZyaJ4rnMdxPedhWzPJsCNGxJlZ19k/f4Ln2O/o+6ZDaK4Mvkqav78FK53exnJAezZ/qj4nkr2gs8q2YOq9JwqFAr4+/tbdY7VqxJXhGPHjuH555+Hm5sbfvvtNzg4OFgcM3/+fNF2586dsXr1agwbNgyRkZHYsmULhg8fXuK1vL29yy1vqrp0Oh0SExPh5eUFtboarTZIdkWn02H/qWhRzL9DMBr6szcGScdt4EiE/zjPvJ2blY6ky+fRKrgf30/JJinuXkLNnR9AUaAoaPBoiPSnv4eHWx1w1lYrNfwvUoN6wm3jHMgfWtFZYdShUcRX8Mq6jozH3gUUKulytFP8jEr2gs8q2QM+p3msKgzm9xQsqldgRkaGxaIiJTl+/DhGjRoFmUyGdevWoXnz5qU+Vy6X49lnn0VkZCQOHTpUqsKgtV0qqXpTq9V8ZshmCYKAm6cPiWLNuofymSVJaRo0Rp1Ggbh75YI5duNUNDr0HcRnk2yO/OZZOK94EfKcNFHcWDcQ2ZN+htqFJcEyazsYWb4t4fS/mVDcOiva5XR8PVTpd5D95FeAxkWiBO0bP6OSveCzSvaguj+nVq1KnD+3YP5cgw9LTExEZmamVV0Wjx8/jpEjR0IQBKxbtw7t27e3Jh0AgIdH3ge27Oxsq88lIrJn967GISvlrijGhUfIFjTtKl6duGABm8gWKK6fgMuvkyyKgnrvFsh6YRkEFgUfmcnDD5lTViK383iLfar4KLj8NBGytDsSZEZERET5rCoMBgcHAwD27NljsS8sLEx0TEnyi4Imkwlr165Fx44drUnF7MiRIwAAPz+/Mp1PRGSvLh3eL9p296qP2g2aSJSNfZNfvgx5bKz45xEW06rumnQRFwYTL55CbnZmEUcTVT7F5UNwXvYCZNoMUTyjThDuP70UgpO7NIlVRSoHaEf8B9mPL4KgchTtUty5AJfvJ0B++7xEyREREZFVhcHevXujYcOGWLt2LU6dOmWOp6Wl4fPPP4darcb48Q++Ebxz5w7i4uKQlib+JvbEiRMYOXIkjEYj1qxZg86dOxd73TNnzkCv11vEDx06hK+++goqlQojR4605qUQEdm9+Jh9ou0mXftCJpNJk4ydk589C8WRI6If+dmzJZ9IhfJvHwyF8sHcYYLRiCvHDkqYEdEDyrgDcF7+EmS6HFE8t1FnXOz/XwgOHNpaEfRthiBr8m8wOYt7YsrTE+Hy00QoL/E9goiISApWzTGoVCrx9ddfY8yYMRgyZAhGjx4NFxcXbNy4EQkJCZg3bx4aNGhgPn7u3LlYtWoVvv32Wzz11FMAgPv372PkyJFIS0tDaGgo9u7di71794quU6NGDbzyyivm7SVLlmDnzp3o2rUrfHx8oFKpcP78eezZswcymQyfffYZGjVq9Cj3gYjIrhh0ubh6PEoU4zBishUOTi5o0KYLLh+NMMfiD+9D29CS5wImqkiKK4fh9Mc0yIziL5z1gb2ROvoTmG7fLeJMKg/G+q2Q+dIqOC+fCkXSFXNclpsFp+UvIWfkHOg7jJYwQyIiourH6lWJe/Xqhe3bt2PBggVYv3499Ho9goKCMHfuXIweXfIv8vT0dKSmpgIAdu/ejd27d1sc4+vrKyoMDh48GGlpaYiNjcW+ffug0+ng5eWFMWPG4OWXX0aHDh2sfRlERHbt6slo6HMf9HaRyWQI6NRbwoyIxJp27ScqDF6K2V/M0UQVT343Hs5/TLcsCrYYgOzHPwUMJokyq16EWvWRNXUlnP6YBuW1Y+a4zGSA07r3oU29hdx+rwLsAU9ERFQprC4MAkCHDh2wdu3aEo9bunQpli5dKoo1aNDAXBgsrWHDhmHYsGFWnUNEVJXFRYt7Wtdv3g7O7rUkyobIUtOu/bD92w/N28kJ8Ui5dQ21vBsUcxZRxZBlJsF5xUuQadNFcV2bocgZ8zGgUAIGrUTZVT+CkzuyJv0Cx7/fg/r0NtE+zZ7vIL9/Czkj5wBKtTQJEhERVSNWzTFIRES24ca546LtJhxGTDbGO7A1nGqIi9UXD+2TJhmq3nTZcFrxCuT3b4rC+mZ9kTN2QV5RkCqfygE5jy9Cbs8XLHapj/8Dp5WvAfpcCRIjIiKqXlgYJCKyQ5OXrMfLv+5C+wGj4N+hJ5p1D5U6JSIRuVxusTpxXPQeibKhastkhNPqt6G8GSsKG3xaIfuJzwC5QqLECAAgl0M76E3kDPsAgkz8Z4kqLhxOf7wKFFgkhoiIiMoXC4NERHZILpejbkAL+F4Px3NfrUHDtl2lTonIQtMufUTblw7vh8lolCYZqn4EAZrNC6A6L556wVSzPrKf+RZQO0qUGBWk6zoB2U99A0El/jdRXToI5xUvA7lZEmVGRERU9bEwSERkp3Kun4UpK1XqNIiKVLDHYE56Km6cOyFNMlTtqCN/g8OhP0Uxk6Mbsp79HoKLp0RZUVEMzfsi6/lfIWhcRXHllRg4L5/K4iAREVEFYWGQiMhOpURv4qqNZNPc69ZH7YZNRLGLHE5MlUAZuwOO2xaJYoJCheynl8BU21+irKgkRr82yJr0C0yObqK48toxOC+bDOSkF3EmERERlRULg0REdirteBjkzu5Sp0FUrMad+oi24w6xMEgVS3HtOJzWvGMRzxm7AMaGHSXIiKxhrN8SWc8vg8nJXRRXJpyE87LJkGWnSpIXERFRVcXCIBGRHTLmZkOfngzI+DZOti2gc2/R9rVTh6HNZK8fqhjypKtw+uNVyAw6UTxn4EzoWw+WKCuylsm7ObImL4fJ2UMUV96MhfOvz0OWdV+izIiIiKoe/kVJRGSH0k5HwJiVJnUaRCVq2LYb5AqledtkNCD+yAEJM6IqKzcLTn9Mg7xAj7LcTo9D1/MFaXKiMjN5NUHW5N9gKjAfpOL2eTj/8hxkmUkSZUZERFS1sDBIRGSH7oavgSk3W+o0iEqkdnSGV2BbUezioX2S5EJVmCDAccMcKO5dFoX1TXtBO+x9zsdqp0x1GiPrxRUwuXmJ4orEi3D+mcVBIiKi8sDCIBGRHcqIOyZ1CkSlVr91F9E25xmk8qY6vAbqk1tEMWO9Zsgevxh4qMcq2R+TZ8O8YcXu9URxxb3LcF72IpDD3vNERESPgoVBIiI7k5t8C0ZtptRpEJVa/dZdRdtJ1+ORcvOqNMlQlSO/dQ6OWz4WxQSNK7Ke/ApwcJYoKypPJg8/ZE5eAVPN+qK44s4FOK94GcjNkigzIiIi+8fCIBGRnUk5vB36NA6fIvvh0aApnNxriWJxHE5M5UGbCaf/vWGx2Ej26I8g1PKVKCmqCEJNH2S+uALGAv+uyusn4LTyNUCfK1FmRERE9o2FQSIiO3PvwDrAZJQ6DaJSk8nlaNxRvDpxXFSYRNlQlSEIcFz/ARTJ10Xh3O4TYWgRKlFSVJGEGnWRNekXmFzriOKq+Cg4rX4LMBokyoyIiMh+sTBIRGRHBJMJ2sRrUqdBZLWAzuLC4KXD+2E08I94Kjv1oVVQx+4QxQz1W0E78E2JMqLKINSqj6znf4bJyV0UV50Lg+O69wGTSZrEiIiI7BQLg0REdiTryikYtZxLiexP407iwqA2Mx03znIRHSob+c0z0GxdKIqZHN2QPf5zQKmWKCuqLKY6Ach+9kcIBeaQVJ/YCM2WjwFBkCgzIiIi+8PCIBGRHbkX+Q8MGSlSp0FkNbfa9VC3cZAoFhfN1YmpDHLS4bzqDciMenF4zAIINX0kSooqm7F+S2RNXApB6SCKO0T/CYfd30iUFRERkf1RSp0AERGV3v2ju6VOoUoyhIRYDj+T87uz8taka1/ciT9r3o6L3ov+U96VMCOyO4IAp3XvQ37/hiic2/N5GJr3lSgpkoqxUUdkP/klnP6YDpnpwdQEmn3fQ9C4QNfzeQmzIyIisg/8q4eIyE4YtVnQs7dgxXB0BJydxT+OjlJnVeU07dpPtJ1w5ghyMlKlSYbskvrg71CdFX9BYvBrB23/1yXKiKRmCOyNnMcXQpDJRHHH7Z9BdXiNRFkRERHZDxYGiYjsROrpCBgyU6VOg6jMGrXrBqX6wbA/k9GI+CMHJMyI7Inixmlotn8mipmc3JE9fjGgUEmUFdkCfavHkDNirkXcccNcKM/tlSAjIiIi+8HCIBGRnbi7/y+YcrOlToOozNQaJzRq200Ui4vmH+1UCvpcOK6dLRouCgA5Yz+BUKOuREmRLdF3Goucx2aJYjLBBKfVb0Fx47REWREREdk+FgaJiOxE5qXjUqdA9MiaFBhOHBcdBoEriFIJNGHfQHHvsiim7f0iDIG9JMqIbJGux3PQ9nlJFJPpc+C04hXIUhIkyoqIiMi2sTBIRGQHcu/dgDEnS+o0iB5Z067iBSJSbl5D8o0rEmVD9kBx7TjUEctEMYNPS+SGTJcoI7JluaHToWs/UhSTZyXDeflUyLJTJcmJiIjIlrEwSERkB5IPb4c+PUnqNIgeWb0mLeHiUUcUi4veI1E2ZPP0Wjiu+z/IHupVKihUyBnzEaBQSpgY2SyZDDkj50If0F0UViRdhdPvrwJ6rUSJERER2SYWBomI7EBSxHrAZJQ6DaJHJpPJ0LSLuNfgRRYGqQiaXV9BkXRVFNOGTofJq4k0CZF9UKiQPeFLGOsGisLK68fhtOZd/j4lIiJ6CAuDREQ2TjAaob17Teo0iMpN0wLzDF46cgBGg16ibMhWKa4ehfrgClHM4NsauuDnpEmI7IvGBVnPfA9TgcVpVGd2QrNtkURJERER2R6OwSAisnGZl0/BqOVqxBVJuXkzZEniodqCpycMQ4dKlFHV1qRzH9F2blYGrscesVixmKoxXbblEGKlGjljPuYQYio1oYYXsp79AS4/PAVZbqY57nBwBUzu3tAFPyNhdkRERLaBPQaJiGzcvcj1MGSkSJ0GUblx9fRCvaYtRTHOM0gP0+z8Eork66KYNvQ1mGr7S5QR2SuTVxNkPfU1hAIFZc22hVDG7pQoKyIiItvBwiARkY27fyxM6hSIyl3TLuLhxBej90qUCdkaxZXDcIj6QxQz+LWFLvhZiTIie2ds3BU5o+eLYjJBgNOaWVBcOy5RVkRERLaBhUEiIhtmyM6AIfO+1GkQlbum3UJE2wlnjyE7jc96tZebBcd174tCgtIhbwixXCFRUlQV6NsOh7b/66KYzKCD08rpkN2/KVFWRERE0mNhkIjIhqWdPsDCIFVJDdt0gcrB0bwtmEy4dHi/hBmRLdDs+AKKlARRTDtgBkyeDaVJiKqU3N5TkNtpnCgmz0qB8++vArlZEmVFREQkLRYGiYhs2N3wNTDl5kidBlG5Uzlo4N8hWBTjPIPVmyI+Gg6H/hTFDA3aQ9ftaYkyoipHJoN22AfQN+khCisS4+D01yzAZJIoMSIiIumwMEhEZMMy409KnQJRhWnSpa9oOy56D4SHVqGlakSXDaf1H4hCgkqDnDEfcQgxlS+FEtnjF8NYYCEb1fm9cNj1pTQ5ERERSYiFQSIiG6W9ex3GnEyp0yCqME27ihcgSb1zA/euXZIoG5KSw97vIS8wz5t24EyYPBpIlBFVaRpXZE/8DibHGuJw+M9QHftHmpyIiIgkwsIgEZGNSo7ZDn16ktRpEFUYL/9mcKtdTxS7yOHE1Y787iU4RPwmihkadoSuy5PSJETVgsnDD9lPfgVBrhTFHf/5L1cqJiKiaoWFQSIiG5UUuZ7zHVGVJpPJ0LRrgeHEh1gYrFYEAY4b50NmMjwIKZTIGfFfQM6PqVSxjP6dkTNcPIRdZtRzpWIiIqpW+ImLiMgGCUYDcu8llHwgkZ1r2jVEtB1/JAIGvU6ibKiyqU5tgfJKjCiW22MSTHUaS5QRVTf6TuOQ232iKMaViomIqDphYZCIyAZlXDwGQ3aG1GkQVbgmXfpAJpOZt3U5Wbh28pCEGVGl0WZAs3WhKGRy90Zun5ckSoiqK+2gt7lSMRERVVssDBIR2aC74WtgzEqTOg2iCufs7gHvZm1EsbhDeyXKhiqTZvfXkGcmi2I5Q2YDakeJMqJqiysVExFRNcbCIBGRDUo9FS51CkSVpuDqxHFRYRJlQpVFfvMs1NGrRDF9YB8Ymvcr4gyiClbcSsUnN0uUFBERUcVjYZCIyMbo01PYW5CqlaZdxAuQ3Dx/Epkp9yTKhiqcyQTHjXMhEx4M0RSUDsgZ+h7w0LByospW5ErF6z6A/NZZibIiIiKqWCwMEhHZmJRju6BPT5E6DaJK06BNF6idXESxuGiuTlxVqY6shfLGaVEst89UCLXqS5QR0QOFrlRsyIXzytcgy7ovUVZEREQVh4VBIiIbc2//XxAMXJWVqg+lSo2Ajj1FMQ4nrppkWSnQ7PxcFDN6NkRuz+clyojIkr7TOOR2fkIUk6fegtP/ZgJGg0RZERERVQwWBomIbIggCMi+cVHqNIgqXWD3UNH2heg9MHE10CpHs+NzyHPSRbGcYe8DSrVEGREVTjtkNgwN2otiysuHoNmxWKKMiIiIKgYLg0RENiT72lkYtVlSp0FU6Zp2DRFtZ91Pwq0LpyTKhiqC4toxqI+uE8V0rR6DMaC7RBkRFUOpRvaEL2ByrSMKO0Quh+r4RomSIiIiKn8sDBIR2ZB7EethSE+WOg2iSudRvyE8/QJEsQsHd0uUDZU7owGOGz4UhQQHZ2gHvyNRQkQlE1xrI/upryAoVKK44z//hfwmFyMhIqKqgYVBIiIbknJkh9QpVEsmf3+YgoLEP/7+UqdV7QR2F/cajIvmPINVhTp6JRSJcaKYNmQ6BLc6RZxBZBuMvm2QM/w/opjMkAvnP6dDlsWFwoiIyP6xMEhEZCOM2izo2VtQEqagIBg7dxb9mIKCpE6r2ik4nPjaqRjkZKZJlA2VF1nWfWj2fCeKGesGQtf1SYkyIrKOvuMY5HaZIIrJU2/DadVMwKiXKCsiIqLywcIgEZGNSD0ZDkPmfanTIJJM4w7BUKodzNsmoxGXYvZLmBGVB4c930KmzRDFcoZ/ACiUEmVEZD3t4HcsFyO5EgPNtkUSZURERFQ+WBgkIrIRd/f/BVNujtRpEElG7eiMRu3EC1FciOJwYnsmvxsPdcxqUUzXZgiMBQosRDZPqUb2k1/C5OYlCjtE/QHV8Q0SJUVERPToylwYPHbsGMaNGwc/Pz94e3sjNDQU69evL9W5giBg165dmDlzJrp37w4/Pz/Uq1cPwcHBWLx4MbRabZHnhoWFYfDgwahfvz58fX0xdOhQ7N/P3gREZP8y409InQKR5AK7FZhn8GAYBEGQKBt6VJrtn0FmMpq3BaUDtAPekDAjorITXDyR/dTXEJRqUdzxnzmQ3zonUVZERESPpkyFwfDwcAwcOBDR0dEYNWoUJk2ahMTEREyaNAnffPNNiefn5uZi3LhxWLlyJerVq4dnn30WTz/9NLRaLebNm4fBgwcjOzvb4rzVq1djzJgxiIuLw4QJEzB+/HicP38eI0eOxIYN/KaOiOyXNvEqjNosqdMgklzTAoXB1MQbuHs1roijyZYpLx2E6oL4y9vc4GchuHtLlBHRozPWb4WcEf8VxfIWI3kdyOGcqEREZH+sntzFYDDg9ddfh1wux5YtW9C6dWsAwKxZsxASEoJ58+ZhxIgR8PPzK7INhUKB999/H5MnT4a7u7s5rtfrMXHiRGzfvh0///wzXnvtNfO+1NRUzJo1Cx4eHti/fz98fHwAADNmzECvXr0wc+ZM9OvXD66urta+JCIiySVFbYY+7Z7UaRBJzsu/GWp4+SAt8aY5duHgbng1CpQwK7KayQjN1k/FIRcP5PZ+UaKEiMqPvv0o5N44A4dDf5pj8vs34LTmXWQ//S0g52xNRERkP6z+rRUeHo4rV65g7Nix5qIgANSoUQMzZ86ETqfDqlWrim1DpVLhrbfeEhUF8+MzZ84EAERGRor2/fPPP0hLS8OUKVPMRUEA8PHxwYsvvojk5GRs3rzZ2pdDRGQTkg5uADhckggymcxyODHnGbQ7qqProUgU9/TUhr4OODhLlBFR+dIOngWDbxtRTHVhPxz2/SBRRkRERGVjdWEwIiICANCvXz+LfSEheR/kCxb1rKFSqQDk9SqszOsSEUnFpNdBl3xL6jSIbEbBwuDlY5HQaS2nGCEblZsFze6vRCGjV1PoO4ySKCGiCqBUI3vCFzA51xKFHfYsgTLugERJERERWc/qwmB8fDwAoHHjxhb7vLy84OLigsuXL5c5oT/++AOAZQGwuOvmx/KPISKyJ+nnY2DIypA6jWpNfvYsFDExoh/52bNSp1VtBXTuDflDXxAadLm4fJRf/tkLh/CfIc9MFsVyBs8C5IoiziCyT0KNusgevxiC7MGfVDJBgONfsyC7f7OYM4mIiGyH1XMMpqenAwDc3NwK3e/q6mo+xlq7du3CsmXLEBgYiIkTJ5b6uvnzCpbmusWteEyUT6fTif5LVJFu710FY07Z3jcBPqflweHCBciTkkQxk6cncv39Jcqo6ijL+6lMpUH9oA64fjrGHDsbsRMNO/Qs9/yofMnTbsMt4jdRLLdJD2TVbw/Y+Gcw/u6nMvFuA6HfNLiGfW0OyXPS4LjyNaQ89yugdCjXy/E5JXvBZ5XsQVV9TjUajVXHW10YrCjHjh3D888/Dzc3N/z2229wcCjfX6L5bt26BaPRWCFtU9WTmJgodQpUDdw//Wg9oficPjr3pCQoU1JEMQOA1IQEaRKqgqx9Tms3ay8qDJ6L3IlWo6eUd1pUzhqFL4bMkGveFmRyXGwxHlo7+v8S31PJavX7obFfDGpejzaHVLfPQb72P7gWPK1CLsnnlOwFn1WyB1XpOVUoFPC3snOD1YXB/B57RfXOy8jIsFhUpCTHjx/HqFGjIJPJsG7dOjRv3rzY69aqJZ7LIyMjQ3RMcby9va3KjaonnU6HxMREeHl5Qa1WS50OVWH61HtI1uXgUb6u4HP66Bw8PS3m1jB5esLV11eSfKqSsr6fygeOxNE135u3025dg4vChJreDSoiTSoHypun4XE5XBTL6TAWtVt1lygj6/B3Pz0K/fhPYfh5IpQp18yx2hd3QR3YDdp2I8vtOnxOyV7wWSV7wOc0j9WFwYfn82vbtq1oX2JiIjIzM9G+fftSt3f8+HH8P3v3HR5FubYB/J6t2RQSamiBANKLSEeQriggIkURxHKs2MWDx/apiIqKYEUUFRCVIkgVRCGhSO8gNRBaIJCQnu27M/P9EQgMCSWkvFvu33XtlcwzszP3euYsm2dn3nfAgAFQVRXz58+/4nPr1auHnTt3IjExsUBj8GrjD16uqJdUUnAzmUw8Z6hUZf27Gt7cjGtudzU8T4vPYDRCOj/51QWq0QiJ/11LTFHP0zot2iEsqiJsWRfHqju+Yz2q1W1YGvGouFQVYSs/15ZCIuC940W/e3/ieyrdkJAQOB78EuGTh0LyOPLL5ZZ/BF2t5lBqNC3Rw/E8JX/Bc5X8QbCfp0WefKRTp04AgPj4+ALr4uLiNNtcy4WmoKIomDdvHtq0aVMmxyUi8hWpa+dClT2iYxD5HJ1Oh/odtBORJWxcKSgNXYth718wnNypqTm7Pw01rLygRERlT4muD8fAsZqa5HUjbOaLkOxZYkIRERFdQ5Ebg127dkVsbCzmzZuHPXv25Nezs7MxceJEmEwmDB06NL9+9uxZJCQkIDs7W7OfXbt2YcCAAZBlGXPnzkW7du2uetx7770X5cqVw5QpU3D69MVZvk6fPo3vv/8eFStWRL9+/Yr6coiIhFEVBc4zx0THIPJZDTv21Cwf2fYPvJ7AGhw6IHhcsPw1UVOSK8TA3WG4oEBE4nha9IHrVu0kirqsZFjmvgYoiqBUREREV1bkW4kNBgO+/PJLDBo0CH379sXAgQMRHh6OxYsXIykpCWPHjkXt2hfH/xkzZgxmzZqFSZMmYfjwvA+ImZmZGDBgALKzs9GrVy+sWrUKq1at0hwnMjISzzzzTP5yVFQUxo8fj6eeegpdu3bFvffeCwBYsGABMjIyMG3atPzZiYmI/IHt2B7ITqvoGEQ+q8FlVwy6bLk4sWcL6rXuLCgRFca0ZTZ0mac0NWfvVwBD8I7VQ8HNeed/oT+9D4YTO/JrxoS1MK/9Hq5uTwlMRkREVNANzUrcpUsXLF++HOPGjcOCBQvg8XjQpEkTjBkzBgMHDrzm83NycpCVlQUAWLlyJVauLHhrUExMjKYxCAD3338/KlasiAkTJmDmzJmQJAk333wzRo8ejW7dut3ISyEiEib1n/nw5maKjkHksyIqVkGNRjfj9MHd+bWEjXFsDPoSpxXm1d9pSt7areBterugQEQ+QG+EfehnCJ80EDrrxXFSzSu/gjfmZsj1OggMR0REpHVDjUEAaN26NebNm3fN7SZPnozJkydrarVr185vDBZVr1690KtXrxt6LhGRL8ncwfHSiK6lQceemsbgoQ0rcddz7whMRJcyr58O3WVjpznvHA1IkphARD5CLVcZ9vs/RdjUxyCpebcQS6qC0DmjYX3ud6jlqghOSERElKfIYwwSEVHxee05vFqQ6DpcPs5gcsK/yE1LEZSGLiXZMmBeN11T8zTuAbnWzWICEfkYuW57uHo9r6npbOkInfMKIHsFpSIiItJiY5CISIDMnavgsbIxSHQttVu0gzlMO4ZwwqZ4QWnoUubVUyC57fnLqiTBefuLAhMR+R5XlyfgadBFUzMc346QFV8ISkRERKTFxiARkQCpq2ZCdTtFxyDyeXqDEfXbddXUDm2ME5SGLpAyT8O0eZam5ml5D5To+oISEfkonQ6OIR9BiaquKZv/+RGG/XwvIyIi8dgYJCIqY6qqwnbigOgYRH6jQUft2MIJm+KhyLKgNAQAIfHfQJI9+cuq3gBnz2cFJiLyXWpoFOwPfAZVrx3ePfT3NyBlJAlKRURElIeNQSKiMmY/sQ+y0yY6BpHfaNixh2bZnp2BUwd2iQlD0KUegXHnIk3N3W4o1PI1BCUi8n1yzeZw9nlNU5OcuQib9TLgcQlKRURExMYgEVGZS10zD96cdNExiPxG+Wq1UCW2gaZ2aMMKQWkoZMWX+bOsAoBqssDV7SmBiYj8g7v9A3C36KOp6ZP3I2TpOEGJiIiI2BgkIipzGdv/Fh2ByO80uGx24oPr2RgUQZ+0B8b9KzU1V6dHoIZXFJSIyI9IEhwDxkCuXFdTNm/9DcadiwWFIiKiYMfGIBFRGfJYs+DNzRAdg8jvNO7cW7N8av8OWDPOCUoTvEL+/kyzrFgi4er8iJgwRP7IHJY33qDRoilbFo2BLuWwoFBERBTM2BgkIipDGdv+gieHjUGioqpzS0eYQsPzl1VVxUHeTlym9Ec2wHB0s6bm6vYkEBIhKBGRf1Ki68Mx4B1NTfI4EDrrZcDFMYiJiKhssTFIRFSGUlfNhup1i45B5HcMJjPqt+uqqR1cx9vyy4yqIuTvzzUlJbIq3O0fEJOHyM95WvaHq+19mpr+3FFYFo8FVFVQKiIiCkZsDBIRlRFVUeA4fUR0DCK/1eiy24kTNsVD9noEpQkuhn0rYDi9V1Nzdn8GMIYISkTk/5x9X4dcrZGmZtq1GMZtvwtKREREwcggOgARUbCwHtkJ2WEVHYMK4e3XT3QEug6NOt2uWXZac3B892bUa91ZUKIgIXsRsuILbalSLDytBojJQxQojGbYH/gM4ZOGQHJd/Hxg+eN9yDWaQqneWGA4IiIKFrxikIiojKSsngOvNVN0DCK/FVm5Gqo3bKGp8Xbi0mfcuQj6tGOamrPXC4Ce3y8TFZdSsTbsA9/X1CSvG6GzXwac/DKRiIhKHxuDRERlJGv3atERiPxeo053aJYPrmdjsFR53QiJn6QtVW8Kb9M7rvAEIioqb7M74Or4oKamTz8Jy4L/43iDRERU6tgYJCIqA+6sVHht2aJjEPm9xp21DamUoweRkXxCUJrAZ9r2O3TZZzU11x0vATp+hCQqSc47/wtvzeaammnvXzBtniUoERERBQt+qiMiKgPpm5fCk50mOgaR34tp2hphURU1tYPrVwhKE+A8LpjXTNGUvLFt4L3pVkGBiAKYwQT70IlQLOU05ZBlH0F/6l9BoYiIKBiwMUhEVAZSV/8GKLLoGER+T6fXo2HHnpoaxxksHaZtc6HLSdHUnL2eByRJUCKiwKaWrwHH4I80NUn2InT2KMDBuw6IiKh0sDFIRFTKVNkLZ2qS6BhEAaNR596a5SPb1sLjdAhKE6A8TpjXfK8peeu2h1ynraBARMHB26gbXLc9pqnpMk8j9Pc3Od4gERGVCjYGiYhKWfaBTZDtOaJjEAWMBh16QLpkjDuvy4kj2/4RmCjwmLb8Bl3uOU3N2fM5QWmIgovz9hfgrd1KUzMeiIdp/XQxgYiIKKCxMUhEVMpSV81mY9DXORyAzaZ9OHgFmq8KjSyP2i3aa2qcnbgEuR0wr9VeLei56VbIsa0FBSIKMnoj7Pd/CiW0vKYc8tdnMJ7aLSgUEREFKjYGiYhKWfb+TaIj0DUY4uJgnDtX8zDExYmORVdx+ezEB9f9BZW32ZUI05bZ0FnTNTUXrxYkKlNqZFU47vsE6iVjekqKF5G/vw69k182EhFRyWFjkIioFLnOneLVgkSloNFljcHMM0lIPXZIUJoA4rbDvPZHTclTvzPkWi3F5CEKYt76neDq+pSmps85izrrPgdURUwoIiIKOGwMEhGVorSNi+HJThMdgyjgVK3XBJHRNTS1A5yduNhMm2ZBZ8vQ1Hi1IJE4rp7PwlunnaYWdWo7QjfMEJSIiIgCDRuDRESl6Nw/8/mtPlEpkCQJjToVvJ2YisFlg/mfy64WbNgVckwLQYGICDo97PeNhxJeUVMOXzUJ+uPbBIUiIqJAwsYgEVEpUTwuuNKTRccgCliXjzN4fPcmOHKzxIQJAOZNv0Jnz9LUXD2eFROGiPKp5SrDft947XiDqozQ2f+FdNl4oEREREXFxiARUSnJ+ncdvDaOL0hUWm5q2wUGkzl/WZFlHN68Wlwgf+a0wvTPNE3J06g75JrNBAUiokvJ9ToUaNTrclNhmfsaoPDOBCIiunFsDBIRlZLUVbOgOK2iYxAFLJMlDHVbd9bUDvB24hti3vgLdI5sTc3Zk1cLEvkSV7en4KrTXlMzHlkP85opghIREVEgYGOQiKiU5CZsFx2BKOA1vmycwUMbVkLh1TNF48yFed10TcnTuCeU6k3E5CGiwun0yL73A7gt5TVlc9zX0B/dLCgUERH5OzYGiYhKgSM5EbKDVwsSlbZGnXtrlq0Z53Bq/05BafyTef0MSE7tsAe8WpDIN6lhFXC063+hShf/jJNUBaFzRkPKPScwGRER+Ss2BomISsG59QvhyeYHdKLSVrFmLKrENtDUDq7/W1AaP+TIgXnDDE3J0/QOKNUaCQpERNdirdoM1m4jNTWdNQ2hv70KKLKgVERE5K/YGCQiKgXpG5eIjkAUNBp2ul2zzMbg9TNvmAHJmZu/rEoSrxYk8gP2To/CU187xqrh6GaY478RlIiIiPwVG4NERCVMdtrgzkoVHYMoaDTurB1n8NT+nchNSxGUxo84c2He8LOm5GnWG0p0fUGBiOi6STo4hnwMJbKqpmxe/S0Mh9cLCkVERP6IjUEiohKWsSMO3twM0TGIgkZsy44wh0Voaoc2rhSUxn+YN/6quVoQAFzdR15hayLyNWpYedjvnwBVZ8ivSaoKy2+vQsrmlyNERHR92BgkIiphKStmQHE7RccgChoGowkN2nfX1A6s4+3EV+WywbT+J03J0+wOXi1I5Gfk2rfA2ftlTU1nz0TonFcA2SMoFRER+RM2BomISpAqy7AnHRIdgyjoNLrsduLDm1bB63ELSuP7TJtnQ+fI1tSc3Z4WlIaIisPd6RF4GvfQ1AwndiBkxZeCEhERkT9hY5CIqATlHNoC2Z4jOgZR0Gl0q3YCEqctB0e3c5ytQrntMK+bpil5GvfgTMRE/kqSYB/0AZTyNTRl8z8/wnBglaBQRETkL9gYJCIqQWdX/AyvLfvaGxJRiYqoFI2Ypq01tf1rlglK49tMW+dCZ9OOg+rk2IJE/s0SCfvQz6Dqjdry769DyjwtKBQREfkDNgaJiEpQzoFNoiMQBa2mXftolvev/ROqqgpK46M8TpjX/qgtNbgNSo2mggIRUUmRazaDs8//NDWdIwehs0YBXg6tQEREhWNjkIiohNhPHYZsz732hkRUKppc1hjMSjmF04d2C0rjm0zbfofOmqapcSZiosDhbv8A3M3v1NQMp/9FyPJPBSUiIiJfx8YgEVEJSV09G57sc6JjEAWt6LqNULFmHU2NtxNfwuuG+Z/Lrhas1xFyrZZi8hBRyZMkOAa8B7libU3ZvPEXGPb+JSgUERH5MjYGiYhKSPpmNiD8ldKkCeQ2bTQPpUkT0bGoiCRJKnDV4D42BvMZdyyELvuspsarBYkCUEg47A98BtVg1pRD578FXfoJQaGIiMhXsTFIRFQC3Fnn4LVmio5BN0ipWxdKs2baR926omPRDWjWra9m+UzCXmScPi4mjC+RPQhZ+72m5K3TFnKdNoICEVFpUqo1guPutzQ1yWVD6MyXAI9TTCgiIvJJbAwSEZWAtI2L4c7ibcREotVu0R5hURU1tf1r/xSUxncYdy2B7rKZSZ3dnxaUhojKgqf1QLhvuUdT0589BMuSDwQlIiIiX8TGIBFRCUhdNRtQZNExiIKeTq9H49t6a2pBfzux7IV5zRRNyVvrFsh1OwgKRERlQpLg6P9/kKvU05RN23+Hcft8QaGIiMjXsDFIRFRMsssOV9rpa29IRGXi8nEGj+3cAHt28N7qb/x3GfTpJzU1V/enAUkSlIiIyowpFPYHPodqsmjKlsVjoTtzUFAoIiLyJWwMEhEVU+bOeI4vSORDGrTvDoM5JH9ZkWUcXP+3wEQCKTLMqy+7WrBGM3jrdxYUiIjKmlKlHhz3jtXUJK8LobNeApy5YkIREZHPYGOQiKiYzq6YAcXlEB2DiM4zWcJQv103TS1Ybyc27vsb+nNHNTVX95G8WpAoyHha9IGr/TBNTZ9+EqHz/w9QVUGpiIjIF7AxSERUDKqiwH7igOgYRHSZppfdTnxoYxw8riCbiVNRYF71raYkV2sEb6NuYvIQkVDOPq/CW6O5pmbc9zdMG38RlIiIiHwBG4NERMWQc2grvHbehkPka5p0uQvSJVfFue1WHNm6VmCismc4GA99ymFNzdmNYwsSBS2DCfYHJkKxlNOUQ/4cD/3JXWIyERGRcGwMEhEVQ0rcr5BtWaJjUDHpd+yAfvVq7WPHDrGhqFjCK1RG7RbtNbX9wXQ7saoWGFtQrnITvE16CQpERL5ALV8DjiEfa2qS4kXo7FGQbBmCUhERkUg31BjcsWMHhgwZglq1aqF69ero1asXFixYcN3PP3bsGMaNG4ehQ4eicePGiIqKQvPmza/6nKioqCs+Ro4ceSMvg4io2LL3rhMdgUqAlJwM3fHjmoeUnCw6FhXT5bMT71/7JxRFEZSmbBmObIDh9F5NzdXtSUDH74SJgp23YVc4uz2lqemyz8Ly2/8ARRaUioiIRDEU9Qlr167FoEGDEBISgoEDByI8PByLFy/Go48+ilOnTuH555+/5j42bNiAjz/+GHq9Hg0bNkRKSsp1HTsmJgbDhg0rUL9WU5GIqDQ4khMh8zZiIp/VtGsfLPvy7fzl3PQUnNq/A7WatRGYqmyYV3+nWZYr1oKn2Z2C0hCRr3H1fA6Gk7tgOLo5v2Y8sh7mVd/C1fNZgcmIiKisFakx6PV68eKLL0Kn02Hp0qVo0aIFAODVV19Fz549MXbsWNxzzz2oVavWVffTqVMnrFixAs2aNYPFYkF0dPR1Hb9WrVp4/fXXixKZiKjUpK7+DZ7sc6JjENEVVK59E6rENkDq8YT82r41ywK+Mag/vg2G49s0NVeXJwB9kb8PJqJApdPDfv94hH89CLrci59lzKu+gVzrZnjrdxYYjoiIylKR7idZu3Ytjh07hsGDB+c3BQEgMjISo0aNgtvtxqxZs665n9jYWLRt2xYWi6XoiYmIfETapiWiIxDRNRS4nTgIxhm8fGxBJbIqPC3vFpSGiHyVGl4J9qEToOr0+TVJVWGZMxpS5mmByYiIqCwVqTG4bl3eWFo9evQosK5nz54AgPXr15dArMJlZ2dj+vTpmDBhAqZOnYp9+/aV2rGIiK7Gk5MOby4H6SbydU0vawymHD2IcycTBaUpffpTe2E8rB371HXbfwCDSVAiIvJlcmwbOO94WVPTObIROutlwOMSlIqIiMpSke4pSUzM+yBdr169Auuio6MRHh6Oo0ePlkyyQuzduxcvvfSSptarVy9MnjwZlStXvq59OJ3OUkhGgcbtdmt+El0ude3vcGeni44BgOdpSTB7PNB5PJqa4vHAxX8zik30+2nlm5ohvEJlWDMu3iq3e+UidB72jJA8pS0yfrJmWQ6rgJxm/QCey9ck+lwluh6lcZ462zwA6dh2hBxalV8znN4L4+KxyO37Vokdh4IL31PJHwTqeRoSElKk7YvUGMzJyQEAlCtXrtD1ERER+duUtOeeew79+/fHTTfdBKPRiAMHDmD8+PFYsWIF7r//fqxYsQJ6vf6a+0lOToYsc7Ytuj7XOzEOBZ/0Fb8AsufaG5YBnqfFF5WWBkOG9gpQL4CspCQxgQKQyPO0ZstOOBi/MH95d9xi1L4t8G6tDck8iehL/rAHgDON+uHsWY6FWhR8TyV/UNLnaXLrJ9D4zCGE5CTn10J3zEeKpSbS6/cs0WNRcOF7KvmDQDpP9Xo96tatW6Tn+M0o1O+//75muV27dpgzZw7uvvturF+/HkuXLkX//v2vuZ/q1auXVkQKIG63GykpKYiOjobJxNuvSEtxO5GekyY6Rj6ep8VnrlSpwNgaSqVKiIiJEZInkPjC+2nrOwdpGoOph/egQrgFYeUrCclTWspt+1azrIREwNTzccSYwwUl8i++cK4SXUtpnqfWBz6HeepDkDwXrzCO3fwdyjXpCG/VhiV6LAp8fE8lf8DzNE+RGoMXrhS80lWBubm5iIqKKnao66XT6fDwww9j/fr12Lx583U1Bot6SSUFN5PJxHOGCkjfvQqyLUt0jHw8T4vPYDRCMho1NdVohMT/riVG5HnapNPtMFnC4HbYAACqouDo1tVo2/9BIXlKgy79BEL2/aWpuW8dAXNkYDU/ywLfU8kflMp5WqsZHPe+h9DfXs0vSV4Xys8bjdxn5wKWyJI9HgUFvqeSPwj287RIk49cGFvwwliDl0pJSYHVai3yJYvFVbFiRQCA3W4v0+MSUfA6u3IGFBffc4j8hdEcggYdtBOnBdrsxOa1P0JSlfxl1RQKd8fAaXwSUdnw3NwPrg7DNDVd5imEzn0NUJQrPIuIiPxZkRqDnTp1AgDEx8cXWBcXF6fZpqxs27YNAFCrVq0yPS4RBSdVUWA7zhnRifzN5bMTJ2xaBbczMBr8UtYZGHcu1NTc7YdCDY0SkoeI/JvzrlfhrdVSUzMeWgPzmiliAhERUakqUmOwa9euiI2Nxbx587Bnz578enZ2NiZOnAiTyYShQ4fm18+ePYuEhARkZ2cXK+S+ffvg8RQc5H/z5s344osvYDQaMWDAgGIdg4joeuQc3AyvrXjvaURU9hp17g3dJZOUeVwOHN606irP8B/mdVMhyd78ZdVggqvTwwITEZFfM5hgHzoRSlgFTdkc9xUMh9cLCkVERKWlSGMMGgwGfPnllxg0aBD69u2LgQMHIjw8HIsXL0ZSUhLGjh2L2rVr528/ZswYzJo1C5MmTcLw4cPz6+np6Xjrrbfylz0eDzIyMjBy5Mj82vvvv59/m/DXX3+Nv//+Gx06dECNGjVgNBpx8OBBxMfHQ5IkfPrpp6hTp84N/0cgIrpeZ5b9AJmNQSK/ExZVAbE3d8DRHRf/qN23ZimadusrMFXxSdY0mLbO09TcrQdDjagsKBERBQI1sirs93+KsGmP5w9TIKkqLL+NhvWZuVDL1xCckIiISkqRZyXu0qULli9fjnHjxmHBggXweDxo0qQJxowZg4EDB17XPqxWK2bNmqWp2Ww2Te21117Lbwz26dMH2dnZ2Lt3L1avXg23243o6GgMGjQII0eOROvWrYv6MoiIikxVFOQc2io6BhHdoKbd+l7WGFwG2euB3mC8yrN8m2n9DEheV/6yqjPA1eU/AhMRUaCQ63WA846XYPlrYn5NZ89C6KyXYXviZ8BoFpiOiIhKSpEbgwDQunVrzJs375rbTZ48GZMnTy5Qr127NrKysq77eHfffTfuvvvuokQkIipxOYe2wmsvfFZ2IvJ9zXrcjSUT38hfduRk4ciWNWh4ay+BqYrBkQ3zZu0XrZ6Wd0ONqi4oEBEFGvdtj8FwcjeMB+Lya4bTe2FZ8j4c974HSJLAdEREVBKKNMYgEVEwO7P8R8jWLNExiOgGla8ag1rN22pqu1csEJSm+Mwbf4XksuUvq5IOrq5PCExERAFHkmAf/CHkirU1ZdP232Ha+pugUEREVJLYGCQiug6qqiJn/2bRMYiomFr0vEezvG/NUsjeghOc+TyXDaYNMzQlT/M7oVSKFZOHiAJXSATsw7+EarJoy398AP3JXWIyERFRiWFjkIjoOuQmbIfM24iJ/F7zXtrG4IXbif2Nacsc6Bza9yReLUhEpUWJrg/HwPc1NUn2InTmi5ByzglKRUREJYGNQSKi63Bm+Y/wWjNFxyCiYipfNQa1mrXR1PasXCgmzI3yuGBeN11batQdStWGYvIQUVDwNL8Lrtse09R0uecQOvtlwOsWlIqIiIqLjUEiomtQVRXZ+zaIjkGlyWIBQkO1D4vl2s8jv3T5VYP+djuxaccC6Kxpmpqr25OC0hBRMHHe/iI89TpqaoYTOxCy7BNBiYiIqLhuaFZiIqJgYj2yC7I9V3QMKkXenj1FR6Ay1KLnPVj6+f/lL9uzM3Fk61o07OgH54HsgXntD5qSt14HyDE3CwpEREFFb4Bj6AToJw2GLis5v2zePBNyzWbwtBogLhsREd0QXjFIRHQNZ5ZPhTc3Q3QMIioh5avVQkzT1pqav9xObNyzTPPHOAA4uz0lKA0RBSM1NAq24V9CNZg1dcuid6E7vU9QKiIiulFsDBIRXYWqqsj+9x/RMYiohLW4fYBmed/qP3z/dmJFgXnN95qSN+ZmyHXaCQpERMFKqd4EjgFjNDXJ60bYzBcg2fhlKhGRP2FjkIjoKmxHd8PL2YiJAk6LntpxBi/cTuzLDPtXQH/uqKbm6vYUIEmCEhFRMPPc0h+ujsM1NV3WGYTOfgWQvYJSERFRUbExSER0FWeWT+NtxEQByO9uJ1ZVhKyeoinJVRvC27CroEBERIDzrlfhjdW+lxqObkbIXxMEJSIioqJiY5CI6ApUVUXW7jWiYxBRKWnRa4Bm2ZdvJzYk/AP9mQOamqvrk7xakIjE0hthf+AzKOWiNWXz+p9g3LlIUCgiIioKNgaJiK7AdnwvvA7ORkwUqJr37K9ZtmdnInGbD44pqqowr7nsasFKsfA0u0NQICKii9TwSrAP+xyq3qipWxa+A33SHkGpiIjoerExSER0BWeWT4M3J110DCIqJRWq10ZMk1aami/eTqw/vh2GEzs0NVeXxwGdXlAiIiItOeZmOPq/ralJXjdCf30BUs45QamIiOh6sDFIRFQIVVWRtWuV6BhURqTMTEipqdpHZqboWFQGml92O/HeVb53O7F59XeaZSWyKjw39xOUhoiocJ42g+Dq+KCmpstNRejM5wGPS1AqIiK6FjYGiYgKYT+xn7MRBxH9+vUwLFumeejXrxcdi8pAiwK3E2cgcds6QWkK0p/6F8Yj2nPRddtjgMEkKBER0ZU57xoNb932mpohaQ8si8cAqiooFRERXQ0bg0REhTjz93TeRkwUBCrUiC14O3HcQjFhCmFe871mWQmrCHebQYLSEBFdw4XJSMrX1JRNOxbCtPEXQaGIiOhq2BgkIipE5vY40RGIqIwUuJ04fglkr1dMmEvoUg7DuH+lpubq/DBgDBGUiIjo2tTQKNge/BqqyaKph/z5CfRHNghKRUREV8LGIBHRZWwnD0J28DZiomBR+O3E4mcnvvxqQTWkHNzthgpKQ0R0/ZSqDWAf/LGmJikyQmePgi79pKBURERUGDYGiYguc/av6fBkp4mOQURlpEKNWNRscoumJvp2YikjCcY9yzQ1V8fhQEi4oEREREXjbdoLzh7Pamo6Rw5Cf3kOcNkEpSIiosuxMUhEdJmM7StERyCiMtai5wDN8r5Vfwi9nThkzQ+QVCV/WTVZ4L51hLA8REQ3wtV9JDxNb9fU9KlHEDr3f4CiXOFZRERUltgYJCK6hP1UAmR7tugYRFTGWvS6R7Nsy0rH0e1iZieWss/CuHOBpuZudz/U0CgheYiIbphOB/ugDyFHN9CUjQfiYV75haBQRER0KTYGiYgucfbvn3gbMVEQqlAjFjUat9TU9qxcKCSL+Z+pkOSLVyuqBhNcnR4VkoWIqNjMYbA9+DUUS6SmHLLmexh3LhIUioiILmBjkIjoEulblouOQESC3NzrXs3y3lVlPzuxZE2DaetcTc3dejDUcpXLNAcRUUlSK9SEfdjnUHUGTd2y4G3oj28XlIqIiAA2BomI8tmO74XXliU6BhEJUtjtxInb1pZpBvO6nyB5XfnLqs4AV5f/lGkGIqLSINdtD8fdb2lqkuxB6K8vQMo4JSgVERGxMUhEdN6pRd/Am5MuOgYRCVLY7MQ7ls0ps+NL9iyYNs/S1Dy33AM1qnqZZSAiKk2edvfBdetDmprOnomwn58BnFZBqYiIghsbg0REAFRZRvZeMRMNEJHvuOXOIZrlvav+gNthK5Njmzb8DMltz19WJR1cXR8vk2MTEZUV512j4Wlwm6amTz2C0Dn/BRRZUCoiouDFxiAREYCsf9fCm5slOgYRCday92Do9Pr8ZbfDhr2r/ij9AztzYd74q6bkadEHSsXapX9sIqKypNPDfv8EyFVu0pSNCWsR8ud4QaGIiIIXG4NERABOL/oasiNHdAwiEiyiYhXUb99DUyuL24nNm2dBcmrfg1xdnyj14xIRCRESDtuIb6CElteUzRtmwLjlN0GhiIiCExuDRBT0ZJcdthMHRMcgIh/Rqs99muXDW1YjJ+1s6R3QbYdp3U+akqfp7VCi65feMYmIBFMr1IR9+JdQ9UZN3bLkfegTNwlKRUQUfNgYJKKgl7Z+ETy5GaJjEJGPaNqtL0yh4fnLqqJg5/K5pXY809Z50NkzNTVn16dK7XhERL5Cjm0Nx73vaWqS4kXYzJegSzsuJhQRUZBhY5CIgl7ysh+gup2iYxCRjzCFhKJ5j7s1tVK7ndjjgvmfqdpSgy5QajQpneMREfkYzy33wNlFO9GS5MxB6IynIdkyr/AsIiIqKWwMElFQc2enwZ12WnQMIvIxrfoM1SyfSdiLM0f2lfhxTDsWQJebqqm5uj9d4schIvJlrttfgqdJL01Nn34Sob88B3hcglIREQUHNgaJKKilrJgBd3bqtTckoqBSr3VnRFaprqntXFbCA+LLHpjX/qApeeu2h1yrZckeh4jI1+l0sA/5CHK1xpqy4eROWH5/HVAUQcGIiAIfG4NEFNRSVs/hh00iKkCn1+OWO4doajuXz4UiyyV2DOPuP6DLStbUnLxakIiClSkUtocmQ4msqi3/uxwhf38mKBQRUeBjY5CIgpb99BF4czjpCAFyq1bwduumecitWomORYK16nO/Zjk7NRmJ29eVzM4VGebVUzQlb62WkOu0K5n9ExH5IbVcFdge+haqOUxTN//zI0ybZwtKRUQU2NgYJKKglfzHd/BknxMdg3yAWr061NhY7aN69Ws/kQJa1ZuaoHqD5prajmUl84epce/f0Kef0NRc3Z4CJKlE9k9E5K+Uqg1gH/YFVJ1BUw9Z8j4Mh9YISkVEFLjYGCSioKSqKjK2/y06BhH5uMuvGvw3fgncTnvxdqooMK/+TlOSqzWGt0GX4u2XiChAeG+6FY573tHUJFVB6OxR0CXvF5SKiCgwsTFIREEp5+BmeK3ZomMQkY9reedgSLqLH5fcdiv2rV5arH0aDsRBn5KgqTm7P82rBYmILuFpMwjObtpxVyW3A2EzRkLKOiMoFRFR4GFjkIiC0umFX0O2ZYmOQUQ+rlylqqjfvrumtmPZnBvfoaIgJP4bTUmuchO8jXve+D6JiAKUq9fzcN/cT1PT5Z5D2IynAWeuoFRERIGFjUEiCjqKxw3rkV2iYxCRn7j8duKETfHITUu5oX0ZDsZDf/aQpubqPhLQ8SMZEVEBkgTHwPfhrdNWU9anHEbozJcA2SMmFxFRAOGnUCIKOulb/oQnl7MRE9H1adatL0yWizNkqoqCnX/NK/qOVBUh8ZM1JblyXXia3VHciEREgctggm34l5Ar19WUjYkbYZn/f4CiCApGRBQY2BgkoqCT/Me3UFzFnDyAiIKGyRKGZt21t7LdyO3EhoOroT9zQFNzdX8a0OmLlY+IKOBZImF76FsoYRU1ZdOuxQj5+zNBoYiIAgMbg0QUVLzWLDjPHhcdg4j8TKs+QzXLyYf24GzigStsXQhVhfnysQUr1YGn+V0lEY+IKOCpFWrCPmISVGOIpm7+50eY1s8QlIqIyP+xMUhEQSVl9Wy4s8+JjkE+Rr9+PQx//KF56NevFx2LfMhNbbugXOVqmlpRrho0HFoLQ/I+Tc3V/SleLUhEVARyTAvYh34G9bL3Tsuyj2DcXbwZ44mIghUbg0QUVM6u+BmQvaJjkI+RMjMhpaVpH5mZomORD9Hp9Wh552BNbefyuVCuZ2yrwq4WrFgbnuZ9SjIiEVFQ8DbqCse97xWoW35/HYYjGwQkIiLyb2wMElHQcKaehCc7TXQMIvJTrS+bnTg75TSO7lh3zecZDq+D4fS/mpqr+9OA3lCi+YiIgoWn1b1w3vGypibJXoT++gJ0p/dd4VlERFQYNgaJKGicWfYDPJkpomMQkZ+qVr8ZqtVvqqntWHqN24kLu1qwQgw8LfqWdDwioqDi6vI4XB0f1NQktx1hPz0NXfpJQamIiPwPG4NEFBRURUHahkWiYxCRn7t8EpI9KxfCac254vaGIxtgSNqtqbm6PcWrBYmIikuS4OzzGtzN79SUdbZ0hE5/ApKVd4kQEV0PNgaJKChk7V4NTy7HjCOi4rnlriHQ6S8Oeu922LBz+bzCNy7kakGlfE14Wt5dmhGJiIKHTgfH4I/grdteU9ZnJCHsp6cBl01QMCIi/8HGIBEFhaS5EyDbr3xVDxHR9ShXqSoa36a9OmXz/GlQVbXAtvqjm2A4uVNTc3Z7CtAbSzUjEVFQMZhgG/4V5GqNNGV98n6E/voC4HULCkZE5B9uuDG4Y8cODBkyBLVq1UL16tXRq1cvLFiw4Lqff+zYMYwbNw5Dhw5F48aNERUVhebNm1/zeXFxcejTpw9q1qyJmJgY9OvXD2vWrLnRl0FEQcCdlQrHmUTRMYgoQHQY+KhmOTnhXyTt26HdSFURcvnVglHVebUgEVFpCAmH7eHvoJSvqSkbEzcidM5/AdkrKBgRke+7ocbg2rVr0bt3b2zatAn33nsvHn30UaSkpODRRx/FV199dV372LBhAz7++GOsWLEC5cuXh0537Shz5szBoEGDkJCQgAceeABDhw7FwYMHMWDAACxaxLHDiKhwp5d8C3dmqugYRBQg6nfogfLVa2lqm+dP0yzrj22B4fh2Tc3Z9UnAYCr1fEREwUiNqAzbI1OghFXQ1I37V8Ky4P8ARRGUjIjItxW5Mej1evHiiy9Cp9Nh6dKl+OKLL/DBBx9g3bp1uOmmmzB27FicPHntWaA6deqEFStW4NSpU9iwYQOMxqvfVpOVlYVXX30VFStWxJo1azB+/HiMHz8ea9asQYUKFTBq1Cjk5uYW9eUQUYBTFQVp/8wHVH4YJKKSodPp0H7Aw5rarr/nw2HNzl8ueLVgNXhaDSiLeEREQUupFAvbw99BNYdp6qadixCy9EOgkGEfiIiCXZEbg2vXrsWxY8cwePBgtGjRIr8eGRmJUaNGwe12Y9asWdfcT2xsLNq2bQuLxXJdx124cCGys7Px5JNPokaNGvn1GjVq4IknnkB6ejr++OOPor4cIgpwWbtWwZObIToGEQWYtv0fhO6SmYU9Tjt2LvsNAKA/tg2GY1s127u6PMGrBYmIyoBSoylsIyZDNZg1dfOmmTCv/FJQKiIi31XkxuC6desAAD169CiwrmfPngCA9evXFzOW7xyXiPxb0ryJnHSEiEpcRKVoNO3aR1PbNH8aVEVBSJx2WBUlsircrQeWZTwioqAm12kD+7DPoeoMmnrI6u9g+udHQamIiHyT4dqbaCUm5g3gX69evQLroqOjER4ejqNHjxY/WRGOe6F2YZurcTqdJRuMApLb7db8JP/kyToHe/IR0TFKHc/T4jN7PNB5PJqa4vHAxX8zii2Q309v6TcM/8Yvzl8+e2Q/jv/xPVpedrWgtePDcHoVwMvzyZcF8rlKgYPnaRHUbg/PgLGInP8GJFy8hdiyfAI8+hA4Wg0SGC7w8VwlfxCo52lISEiRti9yYzAnJ+/Km3LlyhW6PiIiIn+bknS140ZERGi2uZrk5GTIslyy4ShgpaSkiI5AxZC7bBI8QTDpCM/T4otKS4MhQ3vLuRdAVlKSmEABKBDPU1N0HURUqYHc1NP5ta2/fIaW9S/ekOEKq4TDldtC5bnkNwLxXKXAw/P0OpVrgkq3PoPYDZM05YilHyIt14mMul0EBQsePFfJHwTSearX61G3bt0iPafIjUF/V716ddERyA+43W6kpKQgOjoaJhPHhPJHqqJgz954AIE/yDTP0+IzV6pUYGwNpVIlRMTECMkTSAL9/bT9vY9g5Xcf5C/vPn4WttiqCDPmnVGubk+jZmzRPpyRGIF+rlJg4Hl6A2IeQ26YGRErJuaXJKios+4LlK8WA3cDNgdLA89V8gc8T/MUuTF44Yq9K12dl5ubi6ioqGKFutZxK1TQTkF/YTbiK13FeKmiXlJJwc1kMvGc8VOZO+IgW7NExygTPE+Lz2A0QjIaNTXVaITE/64lJlDP044DH0b8Dx9Dkb0AAI8CbE62o0ftcMgVYqC2H4IQvfEaeyFfEqjnKgUWnqdFo3R7HE6vAyGrJufXJMWLqN9fhe2hbyHX6yAwXWDjuUr+INjP0yJPPnK18fxSUlJgtVqLfNlicY97tfEHiSg4cdIRIioLERWroFn3fpraP6fsUFUVrh7PAGwKEhH5BFfP5+Dq+KCmJnndCPv5WegvGxuWiCiYFLkx2KlTJwBAfHx8gXVxcXGabUqSqOMSkf9xZ6XCcebakxEREZWE9gMe0iwnW704jMrw3NzvCs8gIqIyJ0lw9nkN7lYDtGWPA2Eznob++HYxuYiIBCtyY7Br166IjY3FvHnzsGfPnvx6dnY2Jk6cCJPJhKFDh+bXz549i4SEBGRnZxcr6L333oty5cphypQpOH364iDfp0+fxvfff4+KFSuiXz9+ACci4PSSb+HODJwBZInItzUy21AlVK+prcmNBHT6KzyDiIiE0OngGPAePM3u0JQltwNhPz0F/cldYnIREQlU5DEGDQYDvvzySwwaNAh9+/bFwIEDER4ejsWLFyMpKQljx45F7dq187cfM2YMZs2ahUmTJmH48OH59fT0dLz11lv5yx6PBxkZGRg5cmR+7f3330fFihUBAFFRURg/fjyeeuopdO3aFffeey8AYMGCBcjIyMC0adPyZycmouClKgrO/TMfUAN/0hEi8gGyF5ZV36BzzTDMT7g4fMGu7VvQLzsToZHlBYYjIqIC9AbY7xuPUEWBcf/K/LLktiNs+pOwPfoD5JgWAgMSEZWtG5qVuEuXLli+fDnGjRuHBQsWwOPxoEmTJhgzZgwGDhx4XfuwWq2YNWuWpmaz2TS11157Lb8xCAD3338/KlasiAkTJmDmzJmQJAk333wzRo8ejW7dut3ISyGiAJO1axW8uRmiY5CfUcsXbN4UViO6nHH3EujTT+DWGhYsPpwD7/nvJLxuF7YvnYXbhj0jNiARERWkN8J+/6cInfUyjAdX5ZcllxVh05+A9T9TodRoKjAgEVHZkbKysnhZDdFlnE4nkpKSEBMTE9SzE/mj3W/0Qc6+DaJjlBldZBW0nrKH5yn5rIB+P/W6EfF5X+gy84Y4+WF3JraedeSvrhLbAK/M3QxJkkQlpCII6HOVAgbP0xLmdSP01xdgTFirKSuWcrD9ZyqU6k0EBfN/PFfJH/A8zVPkMQaJiHyVOysVzjNHRccgoiBh2rEgvykIALfVDNWsTz2egGM7g+eLCiIiv2MwwT7sC3jqd9aUdY4chE19DLozBwUFIyIqO2wMElHA4KQjRFRmPC6YV32rKdVt2R6Vat2kqW2aP70MQxERUZEZzbAP/xKeeh01ZZ0jO685mHJYUDAiorLBxiARBQROOkJEZcm09TfocrRfRLhufwHtBz6sqf0btwi2rPSyjEZEREVlDIH9wa/hrdteU9bZMxH246PQnU0QFIyIqPSxMUhEASFzZzwnHSGisuG2w7xmiqbkrdsecr0OaNNvGPRGU35d9rixZeHPZZ2QiIiKymSBbcQkeGPbaMo6WwbCfngYutP7BQUjIipdbAwSUUA4OedjyPYc0TGIKAiYNs2Czqq9CtDZ63kAQFhURTTveY9m3YbfpsDrcZdZPiIiukGmUNgemgxv7Vaass6RjfCp/4E+abegYEREpYeNQSLye/akQ3CePS46BhEFA6cV5n9+1JQ89TtDvuSPyM5Dn9asz05Nxu6/55dJPCIiKiZzGGwPfVugOSg5cxA27XHoj28XFIyIqHSwMUhEfu/YjHfhyT4nOgYRBQHzP1Ohs2dpaq5eL2iWazVrjTq3aAexX/vr11A5BioRkX8ICYftkSkFxhyUXDaETX8S+sRNgoIREZU8NgaJyK+5s1JhPbJTdAzyc1JyMqTjx7WP5GTRscjHSDnnYF7/k6bmadwDcs1mBbbtMvw5zfKZhL04smVNqeYjIqISdP62Yk/9zpqy5HEgbMZIGA6vExSMiKhksTFIRH7t5G+fwp1xVnQM8nP6HTtgWL1a89Dv2CE6FvkYc/wkSB5H/rIq6eC846VCt23c5S5UqlVPU1v769elGY+IiEra+dmKPY26a8qS14XQn5+F4UC8oGBERCWHjUEi8luyy470zUtFxyCiIKA7dwym7b9rap7WA6FUuanw7XU63DbsWU3t0IaVOHuEs1oSEfkVgwn2YZ/D3ay3pizJHoTOfAmGvX8JCkZEVDLYGCQiv3Xmz6nwZHFsQSIqfSErPoekyPnLqjEEzh7PXuUZQOt+QxEWVVFTW/vrpFLJR0REpUhvhOO+8XDf3E9TlhQvQme/AuOuxYKCEREVHxuDROSXVEXBmT9/gOp1i45CRAFOf3IXjPtWaGquW0dAjYy+6vNMIaHoOOQxTW3nn78hJ43DHxAR+R29AY7B4+BuPVBTllQFoXNfg2nDz4KCEREVDxuDROSX0jYtgTs7TXQMIgp0qoqQ5Z9qSoolEq7bHrvCE7RuHfIEDCZz/rLs9WDDnO9LNCIREZURnR6OAe/B1W5ogVWWpeNgXvkVwBnoicjPsDFIRH4pac4nUBxW0TGIKMAZDq6G4YR2IhpX96cBS7nren54hcpo1Vf7B+TG33+E22ErsYxERFSGdDo4+/8fXJ0fKbAqZNVkhCx+D7hk6AkiIl/HxiAR+Z2chO1wpZ8RHYOIAp3sRcjfEzUlJao63O0fKNJuugzXjkXoyMnC1sW/FjseEREJIklw3jm60JnpzVvmwDLnvwCHuyEiP8HGIBH5neMzxsCbmyE6BhEFOOPORdCnJmpqzttfAAymIu2nSmwDNL5NO5vlPzO/gSLzihIiIr8lSXB1fRL2e96FKkmaVaa9fyF0xkjAxavDicj3sTFIRH7FmXIC9lOHRMcgokDndiAk7mtNSa7aEJ4W/a7whKvr8uDzmuWM08exb/UfNxyPiIh8g6fdfbAPnQhVb9TUjYkbETb1P5BsmYKSERFdHzYGicivnPj1A3gyU0THIKIAZ9r0K3Q52vca552vALob++hUt1Un1GjcUlNb88vXhW9MRER+xdusN2wPfwvVFKqpG079i7DvR0DK4hA4ROS72BgkIr/htWYh699/RMcgogAn2bMQskY7c7C3Xgd4b+p04/uUJHS97KrBk/9uxfHdm294n0RE5Dvkeh1he2walNDymrr+3FGETxkOXcphQcmIiK6OjUEi8hunFn4Nd1aq6BhEFODMq7+D5MzV1By9XwEuG0OqqJr3vAdRVWtqamt/+apY+yQiIt8h12wO25M/Q4msqqnrss8ifMqD0B/ll0FE5HvYGCQiv6B43EhdPQdQOFg/EZUeKfM0TJtmamruFn2g1Gha7H3rDQZ0fmCkprZv9VKkJR0t9r6JiMg3KJXrwvrkr5Ar19XUJWcuwqY/AeOuxYKSEREVjo1BIvILqatmwZN9TnQMIgpwISu/hCR78pdVvQHO218ssf23G/AQQsLLXdy/quKfmd+U2P6JiEg8NaoabE/8DG9MC01dkr0InfsazPGTAVUVlI6ISIuNQSLyeaqq4tTCr6G4naKjEFEA05/cDdOuJZqau939UCvElNgxQsIi0P7eRzS1bYt/RW4aJ1UiIgokalh52P4zDZ4mvQqsC4n7CpYF/wdc8kUUEZEobAwSkc/L2L4Cbs5ETESlSVEQsvRDTUk1h8PV7ekSP1SnoU9BpzfkL3tcDsRPn1jixyEiIsFMFtgf+AyuWx8quGr7fITOGAk4rQKCERFdxMYgEfk0VVVx/Ke3IdtzREchogBm3L0EhlP/amrOHiOhhlcs8WNFRddAm7uHaWqbfp+GrLOnSvxYREQkmE4PZ9/X4Oj7OtTLJrEyHtmA8CkPQso+KygcEREbg0Tk49I3/QFXWrLoGEQUyFw2hPylvWJPrlgb7g7DS+2QPR/7L/QG48XjedyImzqh1I5HRERiuW8dAfuwL6AaQzR1fUoCwicPhS75gKBkRBTs2BgkIp+lKgqO//werxYkolJlXv0ddLnayY2cfV4DDKZSO2b5arUKjDW4ddHPyDh9vNSOSUREYnmb9ILtselQwrRXo+tyUxH+/YMw7F8pKBkRBTM2BonIZ53753e4Ms6IjkFEAUyXfhLm9T9pap4Gt8HbqGupH7v7f0bBYL545Ygie7Hyh09K/bhERCSOHNMC1qdnQq5UR1OX3A6E/foCzKu+5YzFRFSm2BgkIp+kyjJOzBoHxcEBman0yZ06wdunj+Yhd+okOhaVgZA/x0O6ZFZIVWeAs8//yuTYkZWroePgxzS17Utn49yJI2VyfCIiEkOtEAPbU7/CG9umwLqQlV/CMucVwO0QkIyIghEbg0Tkk1LiZ8KdwYGYqWyo5ctDrVJF+yhfXnQsKmX6IxtgPBCnqbk7DodSuW6ZZej+8EswWcLyl1VFwYopH5XZ8YmISAw1NAq2R3+Au9WAAutM/y5H+PcjIGXxzhkiKn1sDBKRz1FlL07OnQDFZRcdhYgCleyFZam2AaeEloez+8gyjRFeoTI6DX1KU9v99+84e2R/meYgIiIBDCY4Bn4Ax12vQpW0f5rrk/cjfPJ90J/cJSYbEQUNNgaJyOecWT4VnkxeLUhEpce09TfoU7W37DpvfxGwlCvzLF0ffB4hYRePq6oq/v5uXJnnICIiASQJ7s6PwP7QZKghEZpVOms6wn54GMYdCwSFI6JgwMYgEfkUxePGqYVfQ3E7RUchogAl2bNgXvmlpiZXbQhPm0FC8oRGlsdtw5/R1PauWoJTB3cJyUNERGXP2+A2WJ+eDblibU1dkj0I/f1NhCz7GFBkQemIKJCxMUhEPiX5j+/gzkwVHYOIApg57mvoHDmamqPfG4BOLygR0HnYSFjKRWlqf3/LqwaJiIKJUrkOrCNnw3PTrQXWmdf/hLDpT0CypgtIRkSBjI1BIvIZssuB5KXfQfXwakEiKh26lMMwbZmjqbmb9YZcp62gRHks4ZHo9tCLmtrBdX/hxL9bBSUiIiIhLJGwP/QtXLc+VGCVIXETwicNhv7kbgHBiChQsTFIRD7j1MKveLUgEZUeVYVl6ThIl9yKpRrMcN75X4GhLrr1vicQVr6Spvb35A8EpSEiImH0Bjj7vgb7vWOh6g2aVbqcFIT9MAKmjb8CqiooIBEFEjYGicgnyE4bzv79E1SvW3QUIgpQhn0rYEjcpKm5bvsP1PI1BCXSMoeGo/sjL2tqh7esRuL2dYISERGRSJ42g2B77CcoEVU0dUn2wvLHB7D89irgtgtKR0SBgo1BIvIJJ3/7FO7MFNExKEgZ4uJg/O03zcMQFyc6FpUkZy4sf2ivvlMiq8LV5TFBgQrXcdB/UK5yNU3t728/gMqrQoiIgpJc+xZYn/sd3rrtC6wz7VmK8MlDoTt3TEAyIgoUbAwSkXBeew5SV88BZK/oKBSsHA7Abtc+HA7RqagEhfz9OXS55zQ1552jAVOooESFM4ZY0OM/r2hqx3ZuxOHNqwQlIiIi0dTwirA98j2cXR4vsE6fegThk++DYe/fApIRUSBgY5CIhDsxaxyvFiSiUqM/uQumLbM1NU/9zvA0v1NQoqtrd88IRFWtqan98flbkL388oSIKGjpDXD1HgXb8K+gmsM1qySXDWGzXkLIso8BDstDREXExiARCeXJSUfauoXAJZMBEBGVGNkDy8J3IF1yK65qDIGj/9uAJAkMdmUGkxm9Hn9VUzt7ZD82zftRUCIiIvIV3iY9YX12LuSqDQusM6//CWFTHoQu/YSAZETkr9gYJCKhDn/9AtwZZ0THIKIAZV43HfqUw5qas+ezUCvUvMIzfEPrfsNQrUEzTe2vbz+ANePcFZ5BRETBQqlYG9anZsJ9yz0F1hlO70X414Ng3LVEQDIi8kdsDBKRMDmHtiH7wKZrb0hEdAN06Sdhjv9GU5OrNoT71ocEJbp+eoMBA0Z/oqk5rTn4c9J7ghIREZFPMVngGPQh7Pe8C1Vv1KyS3HaEzv0fLPNeB1w2QQGJyF+wMUhEQqiKgsNfPQdvTrroKEQUiFQVIYvfg+R1XSxJEhwDxgCX/QHlq+rccituues+TW3rop9xcu92QYmIiMinSBI87e6D9enZkCvVKbDatHMRwicNgu70PgHhiMhfsDFIREIkL50C57mTomMQUYAy7v4DxiMbNDV3h2GQY1oISnRj+rwwBqZQ7SDziz4ZDUVRBCUiIiJfo1RvDOuzc+FuPbDAOn36SYR/9wBM66YB/LeDiArBxiARlTmPNQunFnwFxWkXHYWIApBkz8qbmfESSrloOHu9KCjRjYusXK3ARCRJ+3dg2+JfBCUiIiKfZAqFY+D7sN83vuCsxbIXlj/HI3TG05CsaYICEpGvYmOQiMrckcmj4M5IFh2DiAJUyPJPobNlaGqOu98EQsKv8Azf1vmBp1G5dn1N7c+vx8CekyUmEBER+SzPzX2R+9zv8BZyhbzx8DqEf3EPDHv/FpCMiHwVG4NEVKZyE/cg+9+1gKqKjkJEAUh/bCtM2+drap7GPeFt0ktQouIzGE24Z7T2CkhbVjpWfPehoEREROTL1AoxsD3xM5xdn4AqSZp1Onsmwma9BMtvrwKObEEJiciXsDFIRGVGVVUkfDkSnmzewkBEpcDrhmXhu5qSag7Lu1rQzzXo0APNuvfT1DbM/QFnDu8VlIiIiHya3gjXHS/D9ugPUCIqF1ht2v0HIr64B4aEfwSEIyJfckONwR07dmDIkCGoVasWqlevjl69emHBggVF2ofL5cLHH3+MVq1aITo6Go0aNcKLL76Ic+fOFdj2xIkTiIqKuuJj3LhxN/IyiKiMnf17OpxnT4iOQUQByrzme+jTjmlqzttfhBpZVVCiktXv5Q9gMIfkL6uKgoXjX4XKK7CJiOgK5HodYX1+ATxNby+wTpebirCfnkLIwncBl63swxGRTzAU9Qlr167FoEGDEBISgoEDByI8PByLFy/Go48+ilOnTuH555+/5j4URcGwYcMQFxeHtm3bon///khMTMSMGTOwZs0arFy5EpUqVSrwvGbNmqFv374F6p07dy7qyyCiMua15yDpt0+hOK2ioxBRANIl74d5zXeamrdmc7jbPyAoUcmrUL02uj/8ElZM+Si/dmzHBuz663fccudggcmIiMiXqWEVYH/gcxh3/wHLkg8gOXM0681bf4PxyAbYB30IuU4bQSmJSJQiNQa9Xi9efPFF6HQ6LF26FC1a5A1o+uqrr6Jnz54YO3Ys7rnnHtSqVeuq+5k5cybi4uIwePBgfP/995DOj3swdepUjBo1Cu+//z4+//zzAs9r3rw5Xn/99aJEJiIfkTjlf3ClnxEdg4gCkceF0Ln/gyR780uqTg/HgDGATi8wWMnr9tCL2PbHTGQmn8yvLf3i/9Cky50wh/rn5CpERFQGJAmelnfDW6ctLAvehvHwOs1qXeYphP34MNy3PgRnrxcAk0VQUCIqa0W6lXjt2rU4duwYBg8enN8UBIDIyEiMGjUKbrcbs2bNuuZ+ZsyYAQB4++2385uCAPDoo48iNjYWc+fOhcPhKEo0IvJh1hP7kbljJaAqoqMQUQAKWfE59KmJmprrtsegVGskKFHpMYZYcPco7aQjOefOIO7HTwUlIiIif6JGVoX94e/g6P821Muaf5Kqwrz+J4R/NQD6IxsEJSSislakxuC6dXnfKvTo0aPAup49ewIA1q9ff9V9OJ1ObNu2DfXr1y9wZaEkSejevTtsNht27txZ4Llnz57F999/jwkTJmDGjBk4duxYgW2IyLeoqoqEL0bCk11w/FAiouLSJ26Cef1PmppcrTFcPZ4RlKj0Ne3aFw069tTU/vl1EiciISKi6yNJcLcfCutzC+Ct3arAan1GEsKnPQ7LvDcg2bPKPh8Rlaki3UqcmJj3bXy9evUKrIuOjkZ4eDiOHj161X0cO3YMiqKgbt26ha6/UE9MTMStt96qWbdq1SqsWrUqf1mSJAwZMgSfffYZwsLCrus1OJ3O69qOgpvb7db8pBuXtuY3OJKv/r5AxcPztPjMHg90Ho+mpng8cPHfjGIrzfdTyZmLivPe0NRUvQmZ94yF7FUAb+D+73fn82OQuHUtZG/eeSt7PZj51pN46vs/YTCZBafzT/y3n/wBz1MqUWFVYH/wO4RunonwVZMgydrzyrRzIQyH1iD3jv/C2exO4JK7/a6F5yr5g0A9T0NCQq690SWK1BjMyckbpLRcuXKFro+IiMjf5lr7iIyMLHT9hX1fup/Q0FCMHj0affv2RZ06daCqKnbv3o2xY8fit99+g8PhwM8//3xdryE5ORmyLF/XtkQpKSmiI/g1xZ6NtJkfQHHkio4S0HieFl9UWhoMGRmamhdAVlKSmEABqDTO0zprP4M+56ymltRqBFKdRiDQ/7eTzGjedzh2LZqeX0pJ3I9Fn/8f2j1w7Yng6Mr4nkr+gOcplaia3RBydz3U3vANIlL3a1bp7JmIXPgmsHU+TnR8Gu7wKkXaNc9V8geBdJ7q9forXoh3JUWelViEypUr480339TUunbtirZt26Jr165YsmQJdu3ahZYtW15zX9WrVy+llBRI3G43UlJSEB0dDZPJJDqO3zr0wX+hZAXOm6yv4nlafOZKlQqMraFUqoSImBgheQJJab2fmvevQNTR1ZqaK7YtzL1HIkYq0kgpfqvai2NwZu8WpCRe/CNuz5Kf0ab3INS+ub3AZP6J//aTP+B5SqUmJgb2Zh2g7piP8LgvoXNZNasjT29Hs0UvwNb9GdjbDr3m5F48V8kf8DzNU6TGYGFX810qNzcXUVFR17WP7OzsQtdf66rES4WGhuL+++/H+++/j82bN19XY7Col1RScDOZTDxnbtCZFTNgO1JwrFAqeTxPi09fuzZQvrympitXDhL/u5aYkjxPpZxUhC/TTsChhkTANeQjhFhCS+QYfiEkBMPen4IvH+oB2ZN3C4yqqljw4Qt4aeY6hIRFCA7on/ieSv6A5ymVFrXTg7A2ux2WPz6Acf9KzTqdx4GIvycgdO+fcNz9f5Br3XzN/fFcJX8Q7Odpkb5SvzC24IWxBi+VkpICq9V6zUsWY2NjodPprjgW4YV6YeMYFqZixYoAALvdfl3bE1Hpc507hZMzP4Rsv/rQAkS+Qm7VCnK3btpHq4KDcZMPUFVY5r8FnUP7BaPj7regRlUTFEqcavWboffT2rsqMk6fwJKJb1zhGURERFenRkbDPvxL2IZ9ASWicoH1+uT9CP/uAVh+fxOSNV1AQiIqSUVqDHbq1AkAEB8fX2BdXFycZpsrsVgsaN26NQ4fPoyTJ09q1qmqilWrViEsLAy33HLLdWXatm0bABSY4ZiIxFAVBfs/ehDujLPX3piIqIhMW+bAeHidpuZufic8N/cTlEi8Lg8+hzq3dNTUti76GfvWLBOUiIiIAoG36e3IfXEJXG3vK3S9accCRHzWB6YNPwOyt4zTEVFJKVJjsGvXroiNjcW8efOwZ8+e/Hp2djYmTpwIk8mEoUOH5tfPnj2LhISEArcNP/zwwwCA9957D6qq5tenTZuG48ePY8iQIbBYLPn13bt3a7a7YPHixZg1axaioqLQq1evorwUIiolJ+d8AntSgugYRBSAdGnHEfLnJ5qaElEZzv5vF2mmxECj0+tx/7uTYQoN19R//+BFWDPTBKUiIqKAYCkH54B3YX1iBuTKBe8OlJy5sCwdh/BJg6E/tk1AQCIqriKNMWgwGPDll19i0KBB6Nu3LwYOHIjw8HAsXrwYSUlJGDt2LGrXrp2//ZgxYzBr1ixMmjQJw4cPz68PGzYMCxYswLx583DixAl06tQJR48exZIlS1C7dm289dZbmuO+8cYbOH78ONq2bYvq1atDlmXs2bMHGzduhNlsxjfffHPFWY6JqOxYj+/DmeVTobh4az8RlTDZC8vc/0HyODVlx6APoIZGicnkQyrUiEX/UR9i3vsv5NesGefw+wcv4qHxv0AK4sYpEREVnxzbBtbnF8C08VeExE+C5LJp1utTEhD+w0Nw39wPzjv/C5iuPWcAEfmGIk/b16VLFyxfvhzt27fHggULMHXqVFSpUgVTp07F888/f30H1ekwc+ZMvPbaa0hLS8M333yDzZs3Y8SIEVixYgUqVaqk2f7+++9H48aNsW3bNkybNg3Tp0/HmTNn8NBDD+Gff/5Bnz59ivoyiKiEKR4XDn7yCDxZqaKjEFEAMsd9BcOpfzU1V/th8NbvLCiR72l7zwg0vu1OTW3f6qXY/sdMQYmIiCig6I1wd34EuS8tg7vl3YVuYtr9ByI+64Owf36Azusq44BEdCOkrKysgvfoEgU5p9OJpKQkxMTEBPXsREWR8PULSF01G6rXLTpKUNFFVkHrKXt4npLPKon3U8P+OIT9qv3yUa4UC+uzvwMmyxWeFZxy01MxceitsF1yC7E5LAIvz1qHCtVrX+WZxH/7yR/wPCVfoj++DZYlH0B/9lCh692hFeHo9QLQdiCg05dxOqJr43tqniJfMUhEdLnM3WuQvnkpm4JEVOJ0accROu91TU3VGeAY/BGbgoWIqFgFg978XFNz2XLx27vPQFEUMaGIiCggybFtYH1mLhz93oQaElFgvcmejsjF7+SNP3hkg4CERHQ92BgkomLx2rJx+Ovn4c1JFx2FiAKN247QmS9Cclk1ZWefVyHHtBAUyvc169YPbe4epqkd3bEea2Z8KSgREREFLL0B7o7DkfvyMrhbD4RayJi2+rOHED7tcYT+9BR0KYcFhCSiq2FjkIiK5dDEJ+E6lyQ6BlGx6I4ehW7vXu3j6FHRsYKbqsKy8B3oL/sDwn1zX7g7DL/Ck+iC/q98hPLVYjS15d+8h4RN8YISERFRIFPDK8Ix8H1Yn5kHT72OhW5jTPgH4V/dC8uCtyHlcFxyIl/BxiAR3bDU1XOQfWAToHKoUvJvuv37od+2TfPQ7d8vOlZQM22aCdPupZqaHF0fjgFjAM6we00h4eVw37uTNbMRq4qCX19/FOdOJgpMRkREgUyp3hj2R39A5gNfwRFVq8B6SVVg2jYPERPvRMif4yHZMgSkJKJLsTFIRDfEdvIAjk5/G7ItW3QUIgow+hM7EbLsY01NNYfDPuwLwBQqKJX/qde6M3o9+Zqm5sjNxk+jHoDDyvduIiIqJZIE902dsK//58jp939QwisV3MTjhHndNER8egfMK74AHPx3iUgUNgaJqMg8ORnY9/5QeDJTREchogAj5Z5D6KyXISleTd0+eByUSrFiQvmxno+NRvMe/TW11OMJmPXWk1BkWVAqIiIKCjo9HLfci9xRf8LZ41moxoKThkluO0JWf4dyn94Bc/xkwGktZEdEVJrYGCSiIlG8Hux9dyBcKSdERyGiQCN7ETrnv9DlascdcnZ9At4mPQWF8m86nQ73j5mMag2aaeoH1/2F5d+MFZSKiIiCijkMrp7PInfUcrjaDoGqMxTYRHLmIiTuK0RMuAOmf34E3A4BQYmCExuDRHTdVFXFoYlPwHaCY68RUckL+fszGI5t1dQ89TrC1esFQYkCg8kShkcmzERYVEVNffVPn2Pn8rmCUhERUbBRy1WGc8AYWF/6A+5b7oEqFWxH6OxZsCyfkNcgXDcNcNkEJCUKLmwMEtF1S5o3EZk746F63aKjEFGAMez9C+Z10zQ1JbIqHPePB3R6QakCR/lqtTDikxnQ6bVXacwd+zyS9u8UlIqIiIKRUrEWHIPHwfriYrib31XoNjprOix/jkfE+F4wx02CZM8q25BEQYSNQSK6Lhlb/8Lpxd9AtueIjkJEAUZ/ai9Cf39DU1P1Rtgf+BxqWAVBqQJP3VadMODV8Zqa1+XEjP8OR07aWUGpiIgoWCmV68IxdAJyn18AT+MehW6jc2QjJH4SIsb3ypvFOOdcGackCnxsDBLRNdlPHcbhSS/Cm5MuOgoRBRhd+kmEzhgJ6bKxhBz93oQc00JQqsDVYdCj6Dj4MU0tOzUZP7/6ELxul6BUREQUzJSqDWF/8GtYR86Bp37nQreR3Pa8WYwn3I6QRe9ByjhVximJAhcbg0R0VR5rFvaNvQ/uTF5NQkQlS7KmI3T6E9DZtF86uFvdC0/bIYJSBb7+//0IdVtr//A6sWcL5o8bBVVVBaUiIqJgJ9dsDvsjU2B9etYVryCUvG6Yt8xGxGd3wfLbq9Cd5tjnRMXFxiARXZEqe7FvzGA4zx4THYWIAo3LhtAZI6HPSNKUvfU6wHHPO4AkCQoW+PQGI0Z8/BPKV6+lqW9b8iuWfzOWzUEiIhJKjrkZ9ge/Ru4Li+C+uV+hk5RIigzT7j8Q8c1ghH3/EAz7VwKKLCAtkf9jY5CIrujQF8/Aeuxf0TGIKNDIHoTOehmG03u15WqNYBv2JWAwCQoWPMKiKuKRCTNhsoRp6qumTcSKKeMEpSIiIrpIia4Px32fwPryMrjaDoGqNxa6neH4NoT9+gLCP+sD04afOZMxURGxMUhEhTo57zNkbPsLqodjThFRCVJVWBa8A+PhdZqyUr4GbA99B4SECwoWfKrVb4ah730L6bKrM1d+/wnifhh/hWcRERGVLaViLTgHjEHuK3/D1elhqEZLodvpM5JgWToO5T7ujpBlH0PKPF3GSYn8ExuDRFRA0vwvcHrhl5Bt2aKjEFGAMa/4AqadCzU1JTQKtoenQC1XWUyoINas+90Y/NaXBep/ffsBVv/0hYBEREREhVMjo+Hs8z/kvhoHZ68XoEQU/rlBcllhXv8TIib0Rugvz8NweD2gKGWclsh/GEQHICLfkrTgK5ya/zm8uZmioxBRgDFtmoWQNVM0NdUYAvuIyVAq1xGUitreMwKyLGP+hy9p6su+egc6gwFdhj8rJhgREVEh1NAouLo/Dddt/4Hx3+Uwr/8J+jMHCmwnqQqMB+JgPBAHuUIM3G3vg6f1vVDDKghITeS7eMUgEeVLWvAVTs2byKYgEZU484E4hPzxvqamSjrY758AudbNglLRBR0GPoIBrxa8ffiPz97E+jlTCnkGERGRYAYTPLf0h/XZebA+PgOexj2hXmHyMn1GEix/TUDEx91h+W009Me3AZxsiwgArxgkovNOLfw6ryloZVOQiEpW+Nm9iFwxBtJlH8Ad97wLb+PuglLR5W697wnIXg+WTHxDU180/lXoDUZ0GPSooGRERERXIUmQ67SBvU4b6NJPwrTxF5i2z4fkthfcVPbAtHspTLuXQq5SL+8qwpZ3Qw2NKvvcRD6CVwwSEU4t/BpJcyewKUhEJc6UuBH1V4yBJLs1dWePZ+FpO1hQKrqS24Y9gz4vvFegPn/cy9iycIaARERERNdPqVgLzn5vIOd/q+Ho/zbk6AZX3FafmgjL0nGI+KgLQme+BMPB1YDsLbuwRD6CVwwSBTk2BYmotBj2xyF0zihIskdTd7cZAlePZwSlomvp9tALULweLP9mrKb++wcvQpIktL1nhKBkRERE1ykkHO72Q+Fudz/0J3fBtGUOjHuXQ/K6C2wqyV4Y9/0N476/oYRXhKdlf7hbDYASXV9AcKKyx8YgURBjU5CISotx91JY5r0GSZE1dU+TXnD0/z/gCmMAkW/o8Z9X4PW4sfL7j/Nrqqpi7tjnkX7qOO4Y+SZ0Ot54QkREPk6SINe+BY7at8DZ538w7lwI05Y50KefLHRznTUd5nXTYF43Dd4azeBpNQCeFn14qzEFNDYGiYLUqUWT2BQkolJh3PY7LAvfLjCmoLtFXzgGfwjo+fHDH9z+5GtQvF7ET5ugqcdPm4BzJw7j/ve+hSkkVFA6IiKiolHDysPd+VG4b30Y+mObYdo6F8YD8YVeRQgAhtN7YTi9FyFLP4L3plvhadEHniY9AXNYGScnKl38ZE4UZFRVxYmZ43Dmz+/ZFCQ6z9uzJ6Ao2iKvhrohpo2/wvLHBwXqjpYD4B40FtDpBaSiGyFJEno/8xZUVcGq6Z9p1v0bvxiZZ5Pw8ISZiKxcTVBCIiKiG6DTQa7XEY56HeFwZMO0508Ydy6EIWlPoZtLihfGhLUwJqyFajDD27Ar3C36wNuwC2AMKePwRCWPjUGiIKK4nTjwySPI3rsesiNXdBwi32GxiE4QEExrf4Dlr4kF6imN+wH93kIIm4J+R5Ik3PXcO4iqGoNF40dDkS/eGn5q/058/XBPPDJxFmo0ullgSiIiohtkicwbi7D9UOhSj8C0YxGMuxZDl3uu0M0lryt/PELVHAZP457wtLgL3nodAYOpjMMTlQxeDkEUJNyZKdg1uicydqxkU5CISpaqwrziy0KbgrZOjyKp3eOAxI8c/qzj4P/gsS9/R0h4OU09OzUZ3zx+F/au/kNQMiIiopKhVLkJzjtfQe7oONge+hbu5ndCNZivuL3kssG0azHCZoxEuQ87wzJnNAz/LgdctjJMTVR8/JROFARyE3Zg1+iesB3fB8he0XGIKJAoCkL+/AQhq78tsMp5+4uw9nieE40EiPrtu+G56StRsWYdTd3jtOPn0SOw+qcvoF42riQREZHf0RvgbdgFjqETkfPGOtiHfARPw65QdVe+4VJyWWHasxRhs0eh3IedEPrzszBunw/JxqGbyPfxVmKiAHc27hccnzEGnqzCL4cnIrphjhyE/vYqjAlrC67q8xrcnR4CnE4Bwai0VIltgOemx2HGqw/i2I4N+XVVVbHsq3eQejwB9/7vUxhDeHs+EREFAHMYPC37w9OyPyR7Fgz7VsC0Zxn0x7YUmGTtAsnrhvHgKhgProIq6SDHtoGncQ94G3aBUim2bPMTXQc2BokClKooSJwyGqn/zIfMSUaIqITpUo8g9JfnoU8/oamrkgTHPe/C03aIoGRU2sKiKuCJSQsx/8OXsW3Jr5p125b8ipN7t2Hoe9+hZuOWYgISERGVAjU0Cp62Q+BpOwRSzjkY9y6H8d/lMJzcecXnSKoCw7EtMBzbAiz7CHLF2vA27Apvwy7wxrbhuITkE9gYJApAssOKve/fD+vhHVBcDtFxiCjAGPatQOi81yG57Zq6qtPDMehDeFreLSgZlRWD0YQhb3+NKrEN8OfX72puIU49dghfP9ILPR8fjR6PjoLeYBSYlIiIqOSp5SrDfesIuG8dkdckPBAHw/44GI5uhqRceegmffoJ6DfMgHnDDKgmC7z1OsLTsCu8DW6DGlm1DF8B0UVsDBIFGNvJAzjw0Qg4ko8CqiI6DhEFEkWGeeVXCFkzpeCqsAqwP/AZ5DptBQQjESRJQreHX0Sl2vUw660n4XFebBQrshcrvhuHA/8sx9D3vkOV2AYCkxIREZUetVzl/JmN4ciG8dAaGPfHwZCwDpLnyhdpSG4HjAfiYTwQDwCQq9wE700d4a3XEd46bQFzWFm9BApybAwSBQhV9uL4L+8jJX4mPFmpouMQUaBxZCN0zmgYD68rsMpboxnsw76AGlVNQDASrVm3fnjh51WY/fZTOH1gl2bdqf078fnwLujz3Du49f6noNNx3jsiIgpglsj8MQnhdsBwZAOMB+JhSPgHOmvaVZ+qTz0CfeoRmDf8DFVngBzTIq9JeFNHyDWbA3pegU+lg41BogBgO3kABz95FI6U41DdHOifqKgMf/wBKU37YU2tVAnefv0EJfItupTDCP3lOegzkgqsc7caAEf/dwCjWUAy8hXRdRriuWkrEPfjp4if+ikUWc5f53U5sXjC69i3Zhnue2cSylerJTApERFRGTFZ4G3SE94mPQFFge7MQRgPrYEhYQ30p/694uQlACApXhhO7IDhxA4gfhJUcxi8sW3grdMGcmwbyNWbsFFIJYaNQSI/xqsEiahUqSqMOxfBsmQsJLf2VhhVZ4Cz7+t5t81IkqCA5Ev0BiPueOp1NO7cG7PffgrnThzWrE/c9g8mDu2Evi+8h7b3jIDewI+hREQUJHQ6KDWawFWjCVw9RkKyZcCQsA6GhLUwJqyD5My56tMlly3vFuVDawAgb3zCWrdAvtAsrNGcX9LSDeMnMiI/ZT2xH4fG/weOs8eheniVIBGVLCkrGZaF7xZ667ASVhH2YZ9Bjm0jIBn5upimrfDSr2vx56QxWDfrW806ly0X88e9jPVzvkOfF95Do063Q2JjmYiIgowaVgGeW/rDc0t/OGQv9Mn7YDiyEYbETdCf3AFJvvIEJsD58QmPbIDxyIa8/RlMkGNuhrdWS8gxLSHXagk1rHxZvBQKAGwMEvkZVfbi2C9jkRo3E57sc6LjEFGgURSYtsxByF8TCsw6DADems3zxhPkzHl0FcYQC/q/8hGadLkLv415FllnT2nWpxw9iGkv3Yeb2nVFvxfHonrDFoKSEhERCaY3QI65GXLMzXB1fxpw22E4vh2GxI0wHNkI/dlD19yF5HXDcGwrDMe25tfkirUh12qZ1zCMuRlKdH1AzxYQFcSzgsiPZO1ZgyPfjYYz5SSvEiSiEqdLOw7Lgv+D4fj2Qte7Ww+C4+63eKsKXbeb2nbFy7PXY8mE17FtycwC649sWYMvHuyKVn2HovfItxAVXUNASiIiIh9iCoW3wW3wNrgNACBZ02E4uhn6Y9tgOL4V+tTE69qNPv0E9OkngJ2LAOTdfizXbAG5RlPINZrCW6MZ1PI1OSQMsTFI5A9yE/cg8duX4Ug+Cq81U3QcIgo0shem9dMREvc1JK+7wGolojIc/d/OGzybqIgs4ZG4751vcMtd92Pp528hOeFfzXpVVbH9j1nYvWIBugx/Dt0eegEh4eUEpSUiIvItanhFeFr0gadFHwCAZMuA/vh2GI5vg+HYVujOHrrqRCYXSG4HDEc3w3B0c35NsZSDXKNZXrOwel7DUI2qzmZhkGFjkMiHOc4cxZHJo2A7theenKtPb09EdCN0Zw7CMv//YEjeV+h6d+tBcNw1GrCwUUPFU79dV7zwyxrsXDYHy78Zi+zUZM16r8uJ+KmfYvOC6bj1vifQcdB/EF6hsqC0REREvkkNqwBv09vhbXp7XsGRA8OJHdCf2AFD0m7oT+2F5HFcfSfn6Rw50F0yViEAKJZIKNUaQa7aEPL5n0qVeoDBVBovh3wAG4NEPsidmYLEKf9D9v4NnG2YiEqFlHEKIfHfwLhrMSRVKbBeKV8T9nvHQK7XUUA6ClQ6nQ6t+z2A5r3uwbqZkxE//TO47VbNNrbMNKz4bhxWTZuIW+66D7c9MBJVb2oiKDEREZGPs5SDt1E3eBt1gwsAZA90Zw/DkLQL+pO7oE/aDX1G0nXvTufIhu6yKwtVnQFK5bp5jcJqDaFUuQlylZvyxpzm1YV+j41BIh/itWXj2E/vImPLn3BnnhUdh4gCkJR9FubV38G07XdISsEZ71RJgrvjCDhvfwEwhQpISMHAFBKKHv95BW3vGYGV33+MzQumQ5FlzTZetwtbF/2MrYt+Rv123dB52DNoeGsv6HQ6QamJiIj8gN4IpUYTuGs0AToMAwBI1jToT+6G/vQ+6E/vhf70Pujs1z9ElaR4oU9JgD4lAdh1sa6awyFXqZfXKIyuDyX6fMMwojIbhn6EjUEiH2A/fQQnZ3+E7H0b4M44CxRy9Q4RUXFI1jSY1/wA05bZhY4jCABy5bpwDHwfcq2WZRuOglZExSq497UJ6DT0KSz78h3sX/tnodsd3rIah7esRuXa9dH5gafRuu9QmCxhZZyWiIjIP6nhleBt0vPieNGqCikrWdMoNJzeB8mZU6T9Si4rDEm7gaTd2uOFRECuGAulciyUSnUgV4qFUrkOlIq1AWNISb0sKiFsDBIJosoy0jYvxal5E+FKOw1P9jnRkYgoAEn2LJj+mQrzxl+vON6MarLA1flRuLo+yfFjSIgqsQ3wyMRZSE74F+tmTcbO5fMgewo2sM+dOIwFH72CpV+8jSZd7kLL3oPQoGNPGIw8b4mIiK6bJEEtXwPe8jXgbXZHXk1VIWWegv7MIejPHsz/qcs8XfTdO3NhOP0vcPqyCcckCWpkNciV6kCpWCvvUSEm/8GmoRhsDBKVMU9OBk4vnoTUNXPhycmA4rRe+0lEREWkO3cMpm3zYNo6F5Kr8PcZ1WCGu8MDcHV5HGpYhTJOSFRQ9QbNcd873+CuZ9/Bxt9/xMZ5U2HLLDj5ltthw66/5mHXX/NgKReF5j36o2XvQajbqjN0er2A5ERERH5OkqBWiIG3Qgy8TXtdrDtzoT97KK9ReOYgdKmHoU85AsltL/ohzl+pqMtKBo6sL7BeKRed1yS80DAsXwNKVA0o5WtADa8EcDiRUsHGIFEZUBUFOYe2Imnup7Ad2wt3ZgpvFyaikudxwbjvb5i2zYPh2NYrbqbqDXC3GQJX1yehRkaXYUCi6xNRKRp3PPUGuj8yCjv//A3/zJyMlKMHCt3WkZOFLQtnYMvCGYioGI0Wtw9AyzsGIaZpazYJiYiIiiskAnJsG8ixbS7WVBVS9hnoU45Al3oE+tQj0KUkQn/uCCT39c2IXBhdTgp0OSnA8W0F1ql6I5So6nlNwqgaUMpXhxJVDUpkNSiRVaGWi+adLzeIjUGiUqIqCrIPbMLZP39EzqGtkO058FqzRMciogCkSzkM07Z5MO5cDJ0j+4rbqTo9PLfcA2f3kVDL1yjDhEQ3xmgOQbsBD6HtPSNwePNqrJs1GYc2roSqFP7lWm56CtbP/g7rZ3+H0MjyuKltV9Rv3x3123dDheq1yzg9ERFRgJIkqFHV4Y2qDjTscrGuKHkNw7Rj0J07Bl3a8bzf045Dl128yTUl2QN9+gno009ccRslvCKUyGpQI6tCOf9Qy0VDKVcFakRlKOWqcHK9QrAxSFSCVFlG9v6NOPPnD8g9vB1eWw5k25X/SCciulGSNR2Gg6th2j4fhpM7r7qtKknwtOgDV49noVSKLZuARCVIkiQ06NAdDTp0R256KvasXIjdf8/H8d2brvgce3Ym9qxciD0rFwIAKsbURYPzTcJ6bW6DJSKqbMITEREFC50uf+xC1O+sXeeyQZd+Avq043mNwowk6NJPQpdxEjpreskc3pqet6/Te6+4jWoOz28UmsIqQrr5kRI5tj9jY5ComLz2HGTv3YCUuF9gTdwNry0bsr1oszkREV2TqkKXfADGQ2tgOLQa+tN7IanqVZ+ihFWAp9UAuNsMZkOQAkZExSrodP+T6HT/k8g8cxK7/16AXX/NQ3LCv1d9XnrSUWxMOoqN836ETq9HtQbNEdOkFWKa3IKYpq1RrhqvKCQiIio15jAo1ZtAqd6k4DqXLa9RmJGU1yhMPwldZjJ0WaehyzwNSfaUWAzJZYX+nBU4dxR6vRFqqydLbN/+io1BoiKSHVZk79uAtA2Lzt8inAuvLQuK68bHUiAiKpTLBkPipvPNwLXQ5aZe19M89TrC3XYIvI17cKwVCmjlq9VCt4dfRLeHX0Tq8QTs+ut37Fm5EKnHDl31eYos4/SBXTh9YBc2/Z5XM1lCUaF2Q9S9uR1iW7RDTNNWKF+9NnQc6JyIiKh0mcOgVGsEpVqjgusUBZI1Pb9JqMs6DSnzdF7jMPsMdNlnb2giFABQIioDklTM8P6PjUGia/DaspGTsB1pGxYh9+BmeK3Z8Nqyobhu7M2HiKhQqgop8xQMp/6F/pLH9X5DqoRXgrv1vfC0HgSlYq1SDkvke6rENsAdT72OO556HZlnk3Bk82okbF6NI1tWw5Z17VuU3A47zh7cibMHd2LDnO8AAEazBZVr34TKsQ1QJbY+qtRpiCqx9VGp1k0wmkNK+yURERGRTge1XGXI5SpDrtWy4HpVBZy50GWfvdgozD57fvkspNxz0OWkQnJZCzxVDq9c+vn9wA03Bnfs2IFx48Zh8+bN8Hq9aNKkCZ599lnce++9170Pl8uFzz//HHPmzMHp06dRvnx59O7dG2+99RYqVy78f6DffvsN3377LQ4ePAij0YgOHTrg9ddfR8uWLW/0pRDlc2edg/XobqTvXIX0PeuQ6cyB6nbAa7dCcRZ8IyEiuiGqCsmWDv3pfZomoM6eVbTdmELhvelWuFv2h7dRV0BvLJ28RH6mfNUYtL1nBNreMwKKoiA5YQ8Ob1qNw1tW4fiuTfC6Xde1H4/LgeSEfwvcpixJEspXr41KteohqmpNlK8ag6iqNfN+rxaDyCrVoTfw/49ERESlTpIASzkolnJQqja48nYuG3S55yDlpEKXmwopJxVuU3jZ5fRhN9QYXLt2LQYNGoSQkBAMHDgQ4eHhWLx4MR599FGcOnUKzz///DX3oSgKhg0bhri4OLRt2xb9+/dHYmIiZsyYgTVr1mDlypWoVKmS5jmffvop3n//fcTExODRRx+F1WrF/Pnz0bt3byxatAgdOnS4kZdDQchrzYLjzFHYTyUg99BW5B7eCW9uBmS3A7I9h7cFE1HxqSoke2beGCnpJ6BLO5E34HL6CejSTxb6reX1kCvEwNuoGzwNu0KObcNbhYmuQafToWajlqjZqCW6P/IS3E47Tu7dhlP7diJp/w4k7duOrLOnirRPVVWRcfo4Mk4fL3S9JEkoV7kaoqrWRETFaIRXqIzwCpURUbEKwstXQnjFKgivUAXhFSohJKwcJN7GREREVLrMYVDMYUClWMjnS06nE0hKEhrLF0hZWVlXH7n8Ml6vF23btkVycjJWrFiBFi1aAACys7PRs2dPnDx5Etu2bUOtWle/jemXX37Bc889h8GDB+P777/P/0A0depUjBo1Co888gg+//zz/O0TExPRvn17xMbGIi4uDpGRkQCAPXv24Pbbb0dsbCw2btzIcWAIQN4Hdk9OOtzpp+E4nYjcw9thO74f7syzkJ02qF43FLcLXltW3qXHRH5KF1kFrafsQUgIb2krDt3+/ZCs2kadGh4OpUkhgyN73ZBcVkjWdEjWNOhy0zQ/pdw06KxpebcuOHOLnU3VGSDHtoanYVd4G3bNm0TEj5oITqcTSUlJiImJ4XlKPsuacQ6JuzbhwOa1yE0+iuSDu2HLTCuTY+uNJlgiImGJiMr7WS7q4u8RUQiJiERIWARMoWEwW8JgCg2HOTQc5tCw87VwmCyh0BtNbDAGAb6nkr/guUr+gOdpniJfMbh27VocO3YMw4cPz28KAkBkZCRGjRqFZ555BrNmzcL//ve/q+5nxowZAIC3335b8yHm0UcfxZdffom5c+di3LhxsFgsAIBff/0VXq8Xr7zySn5TEABatGiBQYMGYebMmdi4cSM6depU1JdEfkRVVci2bHhyM+DJToMr/QwcyUfgOH0YztST8FqzobgdUDwuQJaheN3w2rIBRb72zon8kEECJEcOoF7fbXE34loz396wAvtVL6md/109/3v+9iqgKufXKZAu+R2KnPe7IkNSZEDxnn/IkOSLv0P2QvK68hp8XhfgdUHynP/pdQEeNySPHZLTCmmTFXBaITlz85qBTmveNqVICasAuWbz/Ie3VksgJKJUj0kU7MIrVEbDW29HaEwjxMTEwGw2w5pxDqnHDiH1+GGkHj+E1GMJOHf8MLJSinZ14bXIHjesGedgzThXrP1IkgSD2QKjOQRGcwgM538azRYYzGYYTSHQG43QG0zQG00wmM7/NJjy6kYT9AYDdPqLD73BAJ3hwu9G6HQ6SHo9dDo9JJ0eOr2+0Jok6SDpdJB0EiRJp61JOkiSBEmnAyRAJ+mA88sSLtSlS/4+OP/7+VpeXbr4/cil257/KeGy5cvXX76d9j9kgf+uRVpf+P86197iOpu6TpcTTms27DnhUFw++kcsG9QEwOV0wmXNgSMnC4rbR89VCnput1t0BJ9Q5MbgunXrAAA9evQosK5nz54AgPXr1191H06nE9u2bUP9+vULXFkoSRK6d++OadOmYefOnbj11luv67gzZ87E+vXr2Rj0A6qiQHbaINtz4LXnQLbl/fRas+DJToMnJw2enHR4ss7BnX0OstMO1eOC6vVA8boBVYF6vuknO6xs+lFQ61xVj9BPu4mOQTdINVog12ia1wA83whUo6rzjyoiwSRJQkTFKoioWAX12tymWeeyW3HuxBGkHk9AZvJJZJ09hcyzSXk/zyTB4xQzOZmqqvA47cKOT0RE5G+iqsVgyMT5omMIV+TGYGJiIgCgXr16BdZFR0cjPDwcR48eveo+jh07BkVRULdu3ULXX6gnJibmNwYTExMRHh6O6OjoAttfyHIh29U4nc5rbuOPVEWGquRdMaOev2pGVeS8ZVUBFOX8NjJUOe+KmYvLeVfRqLIMVfZAlb1QvW6osheK15P3u8cFxeOC4nZCcdkhO21QXE4objsUlyOv7nbmbed25l2xd76Bl58j/6cCQIV6/soe1euB4nFD9QTm/zZEFNxUnQFy+Zp5YwNWqAW5QgzkCrXgrVALSrloQKfXPsFVulcklrUL38TyG1nyddd9ruoMqFSnESrVaVRglaqqcORkIjvlNLLOnkLOuWRYM9Jgy0yDNfNc3s+MvJ9uh600XgYRERFdpws3KwXa59Si3hZd5MZgTk4OAKBcuXKFro+IiMjf5lr7uPSW4Etd2Pel+8nJybniTMUREREFtr+S5ORkyHJgXWHmPXcCaR8PLqOjSXl/xOp0kHT687/rC/n9CmM9SnpAf9kfwSaAI0MS3SApsN7P/I3XHAGPJQoeS/kCP72W8nBGVIU7rHLB5h8A5MpAbnLZhxYkJSVFdASi61Ii56olCuF1ohBep9kVN/G6nLBnp8OVmw23PRcuWy7ctryfLlsO3HYrXLYcuGy58Drt8Dgd8Djt8DodcDttkK9zZmUiIiIq3IXeUCB9TtXr9Ve8CO9KbmhWYn9WvXp10RFKXkwM6sw5KzpFQHG73UhJSUF0dDRMJs74Sb7J7XZD/3V/wJYqOopPUXUGQKeHmv+FheH87waoegMg6aEaTIDBDNVggmo0Q9WbgQu/G84/zOFQQ8KhmMOgmiOgmi/8Hg7VHAbFEllgRmAJgOn8AwAK//oruPD9lPyFmHO1/g0/U5FluJ12uB02uO02eN0ueFxOeF2OS353wut25v3ucUP2eCB7L/vpcZ1f9kDxeiHLHiiynLcsy1BkLxSvN++n7IUi592Fopy/G0SzLCtQVQWqkvczbxs1f/nCz7xhZBWoqqq5kyTvdyIiorKhP3/RUrB/Ti1yY7Cwq/kulZubi6ioqOvaR3Z2dqHrC7sqsVy5clc95uXbX0kwzzRDRWcymXjOkE870G88alSrCrPZT87TS4fOu2RgeW1NO0i8enlN0l3ykC77vXTG5ruQgFc33zi+n5K/8KdzNTQsDEDhd9T4K1U9P9zMhZ+4bFlVoV4yKZV6/j6wCz8v3Bem4rLl/LmtLttee/QCWS4rXH194S/o2ttcaxeX5HI5XUhOTkb16tVhDjEXe99EpYXnKvkDt8eDTKvTr/7tLw1FbgxeOp5fy5YtNetSUlJgtVrRqlWrq+4jNjYWOp3uimMRXqhfOo5hvXr1sGXLlvxvci91tXEPiYgCmdcSBSWiMtQg/oeMiIgCh6SZkZgu53Q6EepwI6JSdFD/EUu+j+cq+QOn04lMa5LoGMIV+eKHC7P+xsfHF1gXFxen2eZKLBYLWrdujcOHD+PkyZOadaqqYtWqVQgLC8Mtt9xSosclIiIiIiIiIiKiPEVuDHbt2hWxsbGYN28e9uzZk1/Pzs7GxIkTYTKZMHTo0Pz62bNnkZCQUOC24YcffhgA8N5772kuw582bRqOHz+OIUOGwGKx5NeHDx8Og8GACRMmaPa1Z88e/P7772jYsCE6duxY1JdDREQE3f790G/Zonno9u8XHYuIiIiIiKhUFflWYoPBgC+//BKDBg1C3759MXDgQISHh2Px4sVISkrC2LFjUbt27fztx4wZg1mzZmHSpEkYPnx4fn3YsGFYsGAB5s2bhxMnTqBTp044evQolixZgtq1a+Ott97SHPemm27Ca6+9hvfffx+dO3dG//79YbVaMX/+fADAF198Ad2VZsIlIiK6Ct3Ro5DS0jQ1tVIlKE2aCEpERERERERU+m6ok9alSxcsX74c7du3x4IFCzB16lRUqVIFU6dOxfPPP399B9bpMHPmTLz22mtIS0vDN998g82bN2PEiBFYsWIFKlWqVOA5//3vfzFlyhRUqlQJU6dOxYIFC9CxY0f89ddf6NChw428FCIiIiIiIiIioqAkZWVlFX+qLKIA43Q6kZSUhJiYGA6WSz6L52nJMfzxR6FXDHr79ROUKHDwPCV/wXOV/AHPU/IXPFfJH/A8zcN7b4mIiIiIiIiIiIIQG4NERERERERERERBiI1BIiIiIiIiIiKiIMTGIBERERERERERURBiY5CIiIiIiIiIiCgIsTFIREREREREREQUhNgYJCIiIiIiIiIiCkJsDBIREREREREREQUhNgaJiIiIiIiIiIiCEBuDREREREREREREQYiNQSIiIiIiIiIioiDExiAREREREREREVEQYmOQiIiIiIiIiIgoCLExSEREREREREREFIQMogMQ+Sq9Xi86AtE18TwtGarJBJjNBWtUIniekr/guUr+gOcp+Queq+QPeJ4CUlZWlio6BBEREREREREREZUt3kpMREREREREREQUhNgYJCIiIiIiIiIiCkJsDBIREREREREREQUhNgaJiIiIiIiIiIiCEBuDREREREREREREQYiNQSIiIiIiIiIioiDExiAREREREREREVEQYmOQ6Co8Hg8WLVqEp59+Gu3atUONGjVQs2ZN9OzZEz/++CNkWRYdkYLQjh07MGTIENSqVQvVq1dHr169sGDBAtGxiPIlJyfjm2++wb333otmzZqhcuXKaNCgAUaMGIFt27aJjkd0VZ9//jmioqIQFRWFrVu3io5DlG/JkiUYMGAA6tSpg+joaLRo0QKPPfYYTp06JToaEQBAVVUsXrwY/fr1Q8OGDVGtWjW0adMGL730Eo4fPy46HgWZOXPm4KWXXkK3bt1QpUoVREVF4ddff73i9jk5OXjjjTfQrFkzVKlSBc2bN8f//d//wWq1lmFqMaSsrCxVdAgiX5WQkIB27dohPDwcXbp0Qf369ZGTk4Ply5fjzJkz6N27N2bPng1JkkRHpSCxdu1aDBo0CCEhIRg4cCDCw8OxePFiJCUlYezYsXj++edFRyTCu+++i88//xx16tRB586dUalSJSQmJmLp0qVQVRU//PADBg4cKDomUQH79+9H9+7dYTAYYLPZsGLFCrRt21Z0LApyqqri5ZdfxvTp01GnTh307NkT4eHhOHPmDNavX4/vv/8eHTt2FB2TCG+++SYmTZqEqlWrok+fPoiIiMDevXsRHx+P8PBw/PXXX2jSpInomBQkmjdvunAA2AAAED1JREFUjqSkJFSsWBGhoaFISkrCpEmTMHz48ALb2mw23Hnnnfj333/Ro0cPtGjRAnv27EF8fDxatWqFZcuWISQkRMCrKBtsDBJdRXJyMpYtW4YHHngAYWFh+XWbzYZ+/fph586dmD59OgYMGCAuJAUNr9eLtm3bIjk5GStWrECLFi0AANnZ2ejZsydOnjyJbdu2oVatWoKTUrBbvHgxKlSogM6dO2vqGzZswD333IOwsDAcOnQIZrNZUEKigjweD3r16gWj0Yi6devit99+Y2OQfMLkyZPx+uuv4/HHH8fHH38MvV6vWe/1emEwGASlI8qTkpKCxo0bo0aNGli3bh0iIyPz102aNAlvvvkmhg8fjkmTJglMScFk9erVqFu3LmrVqoXPPvsMY8aMuWJj8MMPP8Qnn3yCl156Ce+++25+/cKX3W+//TZGjRpVhunLFm8lJrqK6tWr4/HHH9c0BQEgLCwMzz77LABg/fr1IqJREFq7di2OHTuGwYMH5zcFASAyMhKjRo2C2+3GrFmzBCYkytO/f/8CTUEAuPXWW3HbbbchKysL+/fvF5CM6Mo+/fRTHDx4EF9//XWBxguRKA6HAx9//DFiY2Px0UcfFXpusilIvuDkyZNQFAUdOnTQNAUB4M477wQApKWliYhGQapbt27XdcGEqqr4+eefER4ejtGjR2vWjR49GuHh4ZgxY0ZpxfQJ/FeE6AYZjUYA4B8PVGbWrVsHAOjRo0eBdT179gRQMo1q84rfYf5rLtSIKLh63AP3bXcVe59EF/C9k3zRrl27MGHCBLzxxhto1KiR6DhE+eLj45GVlYXhw4dDlmUsW7YMiYmJiIyMRLdu3VC3bl3REYkAAPXq1YPJZMKmTZuQk5ODcuXK5a9bvnw5AKBr166i4hFdUWJiIs6cOYOePXsWekFQ+/btERcXh1OnTqFmzZqCUpYuNgaJbtAvv/wCoPAmDVFpSExMBJD3wety0dHRCA8Px9GjR4t9HLlqLbg79YZp4wqELPoJnps7Qi0XVez9BjPj9n+gP3oA+lPHoD9zEpLshf3+kfC06yY6WplKSkrC6tWrUbVqVTRt2lR0HCIAgMvlwsiRI9G8eXO8+OKLouMQaezatQtA3pcpnTp1wpEjR/LX6XQ6PPPMM3j//fcFpSO6qEKFCnjnnXfw1ltvoV27dpoxBteuXYvHH38cTz75pOiYRAVc+BvrSl+01K1bF3FxcUhMTGRjkIgumj59OlasWIEuXbrgjjvuEB2HgkROTg4AaL6BvVRERET+NsXhbd4W3uZtIXncMG2Ohz4pEd6mrYu932AW8ucc6DLPQQmLgFquPKTMc6IjlTmPx4OnnnoKLpcL7777Lq8YJJ/x4YcfIjExEatXr+Z5ST7nwq2XkyZNws0334z4+Hg0aNAAe/bswUsvvYSvv/4aderUwWOPPSY4KRHw7LPPonr16njhhRcwderU/HrHjh0xePBg3vZOPunC30+X3wJ/wYW/vUri7yxfxf9nUlB488034Xa7r3v7p59+utCrsoC8S+FHjx6NmJgYTJkypaQiEvkcb0y9vMbgmRNsDBaT/b4noVSqBrVCZZjjFiJkWXCNBakoCp555hls2LABDz/8MIYOHSo6EhEAYMuWLfjqq6/w2muvcaZM8kmKogAATCYTfv31V1SrVg1A3pit06dPR+fOnfH111+zMUg+4eOPP8ann36KN954A/fddx8iIyPx77//4o033kC/fv0wY8YM9OnTR3RMIroMG4MUFKZPnw6bzXbd2/fv37/QxuDff/+Nhx9+GFWqVMGSJUtQtWrVkoxJdFXX+rYqNzcXUVFRJXY8tXwlAIDuzMkS22ewkhu0uPZGAUpRFDz77LOYO3cu7rvvPnz22WeiIxEByJvJdeTIkWjatClefvll0XGICnXh3/6WLVvmNwUvaNKkCWJjY3H06FFkZWWV6GcAoqJavXo1xo0bh2eeeUbzntqxY0fMnj0bLVu2xFtvvcXGIPmcC++z2dnZha6/1l1bgYCNQQoKp0+fLvY+/vrrLzz00EOoWLEilixZgtjY2OIHIyqCC83qxMREtGzZUrMuJSUFVqsVrVq1KpmDqSrM8YsAAPozSSWzTwo6F64UnD17NgYPHozJkydDp9OJjkUEALBarfnjClWuXLnQbW6//XYAeeMK9+vXr8yyEV1Qv359AFe+xe1C3el0llkmosKsWLECAHDbbbcVWBcdHY369etjz549sFqtCA8PL+t4RFd04W+sK43VfqF+pTsKAwEbg0TX4UJTsHz58liyZAlngCMhOnXqhIkTJyI+Ph6DBg3SrIuLi8vfpiQYN8XBkLgfAKA7dwbweoEgGhfGtHYpJIf9urf3NGsLpUZs6QXyQ5c2BQcOHIjvvvuO47eRTzGbzRgxYkSh6zZs2IDExETcddddqFSpEmrVqlXG6YjyXGiyJCQkFFjn8Xhw9OhRhIWFoVKlSmUdjUjjwrBNF8bFvFx6ejp0Oh2MRmNZxiK6pnr16qFatWrYvHkzbDabZmZim82GzZs3o3bt2gE78QjAxiDRNa1YsQIPPfQQoqKisGTJkoD+poB8W9euXREbG4t58+bhqaeeQosWebenZmdnY+LEiTCZTCUydpuUnQHLH79CrlwdalQFGA7vhS7lVFA1vsxr/4SuCBOEKOUrB9V/n2u5cPvw7NmzMWDAAEyZMoVNQfI5FosFX331VaHrRo4cicTERIwaNQpt27Yt42REF9WpUwc9evRAfHw8ZsyYgYceeih/3WeffYbs7Gzcd999nNSBhOvQoQO+//57fPPNN+jfv7/mKtepU6fi9OnT6NChA8xms8CURAVJkoQRI0bgk08+wfjx4/Huu+/mrxs/fjysVitGjRolLmAZkLKyslTRIYh8VUJCAm677Ta4XC4MGjQIN910U4FtatWqheHDhwtIR8Fo7dq1GDRoEEJCQjBw4ECEh4dj8eLFSEpKwtixY/H8888X+xih0z6FYd822J55F4aDuxAStwD2B56Fp02XEngFYll++w5QFDiGjhSW4cLkI/b7R8LTrpuwHKVp3Lhx+PjjjxEeHo6nn3660KZg375985vbRL5m5MiRmDVrFlasWMHGIAl37Ngx3HHHHTh37hx69+6df0vm2rVrERMTg5UrVyI6Olp0TApysizj7rvvxoYNG1C5cmXcddddiIyMxO7du7F27VpYLBb88ccfaN2aE9pR2ZgxYwY2btwIANi/fz92796NDh06oE6dOgDyxr+88GWLzWZD7969sXfvXvTo0QM333wzdu/ejfj4eLRq1QpLly6FxWIR9lpKG79aIrqKlJQUuFwuAMDvv/9e6DadOnViY5DKTJcuXbB8+XKMGzcOCxYsgMfjQZMmTTBmzBgMHDiw2Ps37N4E496tcHXqDbluI+hyMgEA+jMn4Sn23q9BVQFFAS5vIl2pfgP0J4/A3bFXsfdDV3fyZN6ENVarFZ9++mmh29SqVYuNQSKi61CnTh2sWrUKH374IeLi4hAfH4/o6Gg88cQTePXVV684RiZRWdLr9ViwYAG++eYbLFiwAPPmzYPb7UaVKlVw33334ZVXXkHDhg1Fx6QgsnHjRsyaNUtT27RpEzZt2pS/fKExGBYWhqVLl+Kjjz7CkiVL8M8//yA6OhrPPfcc/ve//wV0UxDgFYNERHSBw4aIj0cBBiNyR38KmEOgS01GxMcvw9OoJexPvF7gKbq0szD/ORuGhH8hedyQq8bAMew56FJOw/Lbd/j/9u4tNooqjuP4b88Me2m3BQl3JGgIgoiCBhSUqCARDRRiolEQC8RADMYHFA0oRiO+GSMohoQYNRE1FG9BSBoNIk/eL5FLKHLpLrJbCoXSspfudnZ82LLrsgXiQyHNfD8v7fzPJdPzMsmvZ860r32v0Nfe/7sqPtmgttffz4/tmjuxeKUCO7+QdTyixDOvyQ1WdFvPVVYp9PVm2Qf3yLVtZSdMVXperWTnz6oxTcdU9cZKJZauVuDbz2X9c1S5wcOVrF2hXN/+ql5dK59bfORlb56s5OKV3S5FT54x6IUdgwAAAAB6B3YMAgAkSaFtH8m0tyqxdLUUCEqScgOGyPUHZMUiZf3NqSZVvr1GneNuU3LZi3L9QdkH/pAbDMmKNSo3bGRJfysWkTN0RMm1a4wCu7YpXfOE3HBf5foPVJ99v5XVJVfhdS+pY3qN0rMXyNd+VqEtGxX4frs6Zj7UNV9UrmXJv3uH0nMelxsKq2LzegV2fqXUI8uUeGqNwhvXqn3VOrmBkFy//6JrwRmDAAAAALyAYBAAIOvvvfL/vEuZSfeoc+zEYoMxcoaMkB09JF/ynNyKcKEptHWTOsdOVOqx5YVaZvDw/HyxiJwLgkETi8gZWqyZeEQKhJRc8pzcqn6XrFe++4o6ZsxVZvrcfKeBQ5WZOlN2w19SVzBo4hG5ldVKLlohBSskSZ1jJuS/qmyMTFtrPsAbOPSy69G+ZsNl+wAAAABAb0cwCABel80otHWTclX9lJpXW9acGzZSih6SiUfljBonSTIn47IP7VP76vXdTmnFGpW9adIFtYg67p1Tcp2dMKUkFOyubk7GZR85IOvYEQW/+azY0XHUOXp8cVw8quwtdxRCQUkyLSeUGzAk/3ssWhZWXil9ftwp+2hD/j6b8ufv+X/6Tvbh/ZKkzuvHKDvlvqtybwAAAAC8i2AQADwuWF8nq+WEEouelf6zI/C887v8rFikGAzGo8pVhAuhW4lUUub0ydIQLp2UaWkqeb3YikeVnnhn2fAL6yYeVa76GiWefrWsrxsoHgRsxaLK3npXSbuJRZQdP7lr3oicEaO6WYGeZx9tkP/X3aW1xgapsaFwTTAIAAAA4EojGAQAj0vXLFS6ZuFF2zPTZikzbVZp0VjyZTokxyn7WrA53SxJJa/s9vnzB8l15QzpOmMwlZA5c0rOhefydVc3lnzppHL9Bkj2RR5byXMyZ1tKx6WTMqebCwGlFY8qc/v0i/6dPSk1f7lS85dfviMAAAAAXEHmat8AAKD3cUaOlmxbwS8/kGmOycSj8u/eLt+5tsI5hNaxw/mfB/coWL8lv7vQH8jXYhG5dh/lBg0vmbe7unPdDZJlK7Rlo0w8KtMck733FwXq64rj4tGycVYsIhlLua5zD+U4spqPy9d2RkqnemRdAAAAAKA3YccgAOB/c6v6KrHkeQW3f6zwW6vk2n45o25U5u7Zks+n9P0Pq/LDN+WGKpQdO1HZ8ZNlEu2F8YUvFJvS/091V3fD1Uo8+YKCOz5V+J2XJZ+RM2iYMtMeuOQ4KxZRbvC1kpV/1KUffFTB+joF6+uUmr1AmRnzemp5AAAAAKBX8LW2trpX+yYAAAAAAAAAXFm8SgwAAAAAAAB4EMEgAAAAAAAA4EEEgwAAAAAAAIAHEQwCAAAAAAAAHkQwCAAAAAAAAHgQwSAAAAAAAADgQQSDAAAAAAAAgAcRDAIAAAAAAAAeRDAIAAAAAAAAeBDBIAAAAAAAAOBBBIMAAAAAAACABxEMAgAAAAAAAB70L0zlmfP4UIRuAAAAAElFTkSuQmCC",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"x_gamma = np.linspace(-3, 12, 100)\n",
"x_norm = np.linspace(-3, 6, 100)\n",
"params_gamma = [10, 2]\n",
"gamma_pdf = sp.stats.gamma.pdf(x, a=params_gamma[0], scale=1 / params_gamma[1])\n",
"\n",
"mu = 1\n",
"sigma = 1\n",
"normal_pdf = sp.stats.norm.pdf(x, loc=mu, scale=sigma)\n",
"\n",
"fig, ax = plt.subplots(figsize=(14, 7))\n",
"ax.plot(\n",
" x,\n",
" gamma_pdf,\n",
" lw=3,\n",
" label=r\"Prior $\\alpha = %.1f, \\beta = %.1f$\" % (params[0], params[1]),\n",
" color=\"#FF6B1A\",\n",
")\n",
"ax.plot(\n",
" x,\n",
" normal_pdf,\n",
" lw=3,\n",
" label=r\"Proposal $\\mu=%.1f , \\sigma= %.1f$\" % (mu, sigma),\n",
" color=\"#662400\",\n",
")\n",
"ax.text(4, 0.27, \"Gamma Prior\", color=\"#FF6B1A\")\n",
"ax.text(1.7, 0.37, \"Normal Proposal\", color=\"#662400\")\n",
"ax.text(0.2, -0.04, r\"$\\lambda_{current}=1$\", color=\"tomato\")\n",
"\n",
"x_fill = np.linspace(-3, 0, 30)\n",
"y_fill = sp.stats.norm.pdf(x_fill, loc=mu, scale=sigma)\n",
"ax.fill_between(x_fill, y_fill, color=\"#B33F00\")\n",
"\n",
"ax.axvline(mu, color=\"red\", ls=\"--\", label=r\"$\\mu=${}\".format(mu), alpha=0.4)\n",
"ax.legend()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "df88c28a",
"metadata": {},
"source": [
"Two lines of codes will solve this issue\n",
"```\n",
" if lamda_proposal < 0:\n",
" lamda_proposal *= -1\n",
"```"
]
},
{
"cell_type": "code",
"execution_count": 19,
"id": "6ca9cf6a",
"metadata": {},
"outputs": [],
"source": [
"def gamma_poisson_mcmc_1(\n",
" lamda_init=2, k=3, alpha=10, beta=2, tuning_param=1, chain_size=10000\n",
"):\n",
" np.random.seed(123)\n",
" lamda_current = lamda_init\n",
"\n",
" lamda_mcmc = []\n",
" pass_rate = []\n",
" post_ratio_list = []\n",
"\n",
" for i in range(chain_size):\n",
" lh_current = pois_lh(k=k, lamda=lamda_current)\n",
" prior_current = gamma_prior(alpha=alpha, beta=beta, lamda=lamda_current)\n",
" posterior_current = lh_current * prior_current\n",
"\n",
" lamda_proposal = sp.stats.norm(loc=lamda_current, scale=tuning_param).rvs()\n",
" if lamda_proposal < 0:\n",
" lamda_proposal *= -1\n",
" prior_next = gamma_prior(alpha=alpha, beta=beta, lamda=lamda_proposal)\n",
" lh_next = pois_lh(k, lamda=lamda_proposal)\n",
"\n",
" posterior_proposal = lh_next * prior_next\n",
" post_ratio = posterior_proposal / posterior_current\n",
"\n",
" prob_next = np.min([post_ratio, 1])\n",
" unif_draw = sp.stats.uniform.rvs()\n",
" post_ratio_list.append(post_ratio)\n",
"\n",
" if unif_draw < prob_next:\n",
" lamda_current = lamda_proposal\n",
" lamda_mcmc.append(lamda_current)\n",
" pass_rate.append(\"Y\")\n",
" else:\n",
" lamda_mcmc.append(lamda_current)\n",
" pass_rate.append(\"N\")\n",
" return lamda_mcmc, pass_rate"
]
},
{
"cell_type": "markdown",
"id": "2d0a33f7",
"metadata": {},
"source": [
"This time we can set chain size much larger."
]
},
{
"cell_type": "code",
"execution_count": 20,
"id": "cb0205b8",
"metadata": {},
"outputs": [],
"source": [
"lamda_mcmc, pass_rate = gamma_poisson_mcmc_1(chain_size=100000, tuning_param=1)"
]
},
{
"cell_type": "markdown",
"id": "e4e58182",
"metadata": {},
"source": [
"As you can see the frequency distribution is also much smoother."
]
},
{
"cell_type": "code",
"execution_count": 21,
"id": "fab8b5e5",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"y_rate = pass_rate.count(\"Y\") / len(pass_rate)\n",
"n_rate = pass_rate.count(\"N\") / len(pass_rate)\n",
"yes = [\"Pass\", \"Not Pass\"]\n",
"counts = [pass_rate.count(\"Y\"), pass_rate.count(\"N\")]\n",
"\n",
"fig, ax = plt.subplots(figsize=(12, 12), nrows=3, ncols=1)\n",
"ax[0].hist(lamda_mcmc[int(len(lamda_mcmc) / 10) :: 2], bins=100, density=True)\n",
"ax[0].set_title(r\"Posterior Frequency Distribution of $\\lambda$\")\n",
"ax[0].plot(x, gamma_pdf_prior, label=\"Prior\")\n",
"ax[0].plot(x, gamma_pdf_post, label=\"Posterior\")\n",
"ax[0].legend()\n",
"ax[1].plot(np.arange(len(lamda_mcmc)), lamda_mcmc, lw=1)\n",
"ax[1].set_title(\"Trace\")\n",
"\n",
"ax[2].barh(yes, counts, color=[\"green\", \"blue\"], alpha=0.7)\n",
"ax[2].text(\n",
" counts[1] * 0.4,\n",
" \"Not Pass\",\n",
" r\"${}\\%$\".format(np.round(n_rate * 100, 2)),\n",
" color=\"tomato\",\n",
" size=28,\n",
")\n",
"ax[2].text(\n",
" counts[0] * 0.4,\n",
" \"Pass\",\n",
" r\"${}\\%$\".format(np.round(y_rate * 100, 2)),\n",
" color=\"tomato\",\n",
" size=28,\n",
")\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "14dfd019",
"metadata": {},
"source": [
"## Numerical Overflow "
]
},
{
"cell_type": "markdown",
"id": "c36dc329",
"metadata": {},
"source": [
"If prior and likelihood are extremely close to $0$, the product would be even closer to $0$. This would cause storage error in computer due to the binary system. \n",
"\n",
"The remedy is to use the log version of Bayes' Theorem, i.e."
]
},
{
"cell_type": "markdown",
"id": "db7c4b6c",
"metadata": {},
"source": [
"$$\n",
"\\ln{P(\\lambda \\mid y)} \\propto \\ln{P(y \\mid \\lambda)}+ \\ln{P(\\lambda)}\n",
"$$"
]
},
{
"cell_type": "markdown",
"id": "a7a58c6a",
"metadata": {},
"source": [
"Also the acceptance rule can be converted into log version"
]
},
{
"cell_type": "markdown",
"id": "a2696ee1",
"metadata": {},
"source": [
"$$\n",
"\\ln{ \\left(\\frac{P\\left(\\lambda_{proposed } \\mid y \\right)}{P\\left(\\lambda_{current} \\mid y \\right)}\\right)}\n",
"=\\ln{P\\left(\\lambda_{proposed } \\mid y \\right)} - \\ln{P\\left(\\lambda_{current } \\mid y \\right)} \n",
"$$"
]
},
{
"cell_type": "code",
"execution_count": 22,
"id": "006dee6e",
"metadata": {},
"outputs": [],
"source": [
"def gamma_poisson_mcmc_2(\n",
" lamda_init=2, k=3, alpha=10, beta=2, tuning_param=1, chain_size=10000\n",
"):\n",
" np.random.seed(123)\n",
" lamda_current = lamda_init\n",
"\n",
" lamda_mcmc = []\n",
" pass_rate = []\n",
" post_ratio_list = []\n",
"\n",
" for i in range(chain_size):\n",
" log_lh_current = np.log(pois_lh(k=k, lamda=lamda_current))\n",
" log_prior_current = np.log(\n",
" gamma_prior(alpha=alpha, beta=beta, lamda=lamda_current)\n",
" )\n",
" log_posterior_current = log_lh_current + log_prior_current\n",
"\n",
" lamda_proposal = sp.stats.norm(loc=lamda_current, scale=tuning_param).rvs()\n",
" if lamda_proposal < 0:\n",
" lamda_proposal *= -1\n",
" log_prior_next = np.log(\n",
" gamma_prior(alpha=alpha, beta=beta, lamda=lamda_proposal)\n",
" )\n",
" log_lh_next = np.log(pois_lh(k, lamda=lamda_proposal))\n",
"\n",
" log_posterior_proposal = log_lh_next + log_prior_next\n",
" log_post_ratio = log_posterior_proposal - log_posterior_current\n",
" post_ratio = np.exp(log_post_ratio)\n",
"\n",
" prob_next = np.min([post_ratio, 1])\n",
" unif_draw = sp.stats.uniform.rvs()\n",
" post_ratio_list.append(post_ratio)\n",
"\n",
" if unif_draw < prob_next:\n",
" lamda_current = lamda_proposal\n",
" lamda_mcmc.append(lamda_current)\n",
" pass_rate.append(\"Y\")\n",
" else:\n",
" lamda_mcmc.append(lamda_current)\n",
" pass_rate.append(\"N\")\n",
" return lamda_mcmc, pass_rate"
]
},
{
"cell_type": "markdown",
"id": "7a28c027",
"metadata": {},
"source": [
"With the use of log posterior and acceptance rule, the numerical overflow is unlikely to happen anymore, which means we can set a much longer Markov chain and also a larger tuning parameter."
]
},
{
"cell_type": "code",
"execution_count": 23,
"id": "dbbeab67",
"metadata": {},
"outputs": [],
"source": [
"lamda_mcmc, pass_rate = gamma_poisson_mcmc_2(chain_size=100000, tuning_param=3)"
]
},
{
"cell_type": "code",
"execution_count": 24,
"id": "afbaa96b",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"y_rate = pass_rate.count(\"Y\") / len(pass_rate)\n",
"n_rate = pass_rate.count(\"N\") / len(pass_rate)\n",
"yes = [\"Pass\", \"Not Pass\"]\n",
"counts = [pass_rate.count(\"Y\"), pass_rate.count(\"N\")]\n",
"\n",
"fig, ax = plt.subplots(figsize=(12, 12), nrows=3, ncols=1)\n",
"ax[0].hist(lamda_mcmc[int(len(lamda_mcmc) / 10) :: 2], bins=100, density=True)\n",
"ax[0].set_title(r\"Posterior Frequency Distribution of $\\lambda$\")\n",
"ax[0].plot(x, gamma_pdf_prior, label=\"Prior\")\n",
"ax[0].plot(x, gamma_pdf_post, label=\"Posterior\")\n",
"ax[0].legend()\n",
"ax[1].plot(np.arange(len(lamda_mcmc)), lamda_mcmc, lw=1)\n",
"ax[1].set_title(\"Trace\")\n",
"\n",
"ax[2].barh(yes, counts, color=[\"green\", \"blue\"], alpha=0.7)\n",
"ax[2].text(\n",
" counts[1] * 0.4,\n",
" \"Not Pass\",\n",
" r\"${}\\%$\".format(np.round(n_rate * 100, 2)),\n",
" color=\"tomato\",\n",
" size=28,\n",
")\n",
"ax[2].text(\n",
" counts[0] * 0.4,\n",
" \"Pass\",\n",
" r\"${}\\%$\".format(np.round(y_rate * 100, 2)),\n",
" color=\"tomato\",\n",
" size=28,\n",
")\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "3c56a533",
"metadata": {},
"source": [
"Larger tuning parameter yields a lower pass ($30\\%\\sim50\\%$) rate that is exactly what we are seeking for."
]
},
{
"cell_type": "markdown",
"id": "6c35a08e",
"metadata": {},
"source": [
"## Pruning "
]
},
{
"cell_type": "code",
"execution_count": 25,
"id": "3f1ec042",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"lamda_mcmc = np.array(lamda_mcmc)\n",
"n = 4\n",
"fig, ax = plt.subplots(ncols=1, nrows=n, figsize=(12, 10))\n",
"for i in range(1, n + 1):\n",
" g = plot_acf(\n",
" lamda_mcmc[::i], ax=ax[i - 1], title=\"\", label=r\"$lag={}$\".format(i), lags=30\n",
" )\n",
"fig.suptitle(\"Markov chain Autocorrelation\")\n",
"\n",
"plt.show()"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.12.0"
},
"toc-autonumbering": false
},
"nbformat": 4,
"nbformat_minor": 5
}