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bayesian_ab.ipynb
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{
"nbformat": 4,
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"metadata": {
"colab": {
"name": "bayesian_ab.ipynb",
"provenance": [],
"collapsed_sections": [],
"include_colab_link": true
},
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
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"version": "3.7.6"
}
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"cells": [
{
"cell_type": "markdown",
"metadata": {
"id": "view-in-github",
"colab_type": "text"
},
"source": [
"<a href=\"https://colab.research.google.com/gist/uni-3/ec988d24406b2d4f53ea8e6ee6d5b281/bayesian_ab.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
]
},
{
"cell_type": "markdown",
"metadata": {
"colab_type": "text",
"id": "o5OSceS-3uhA"
},
"source": [
"ベイジアンABテスト用 AとBのimp cvを入れると、その差分がわかる"
]
},
{
"cell_type": "code",
"metadata": {
"id": "u2r1fmKvit8c",
"colab_type": "code",
"colab": {}
},
"source": [
"#https://ja.stackoverflow.com/questions/65873/pymc3%E5%86%85%E3%81%AE%E3%82%A8%E3%83%A9%E3%83%BC-concat-got-an-unexpected-keyword-argument-join-axes\n",
"pip install pymc3==3.8\n",
"\n",
"pip install japanize-matplotlib"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"colab_type": "code",
"id": "NVXwtHRHzwBI",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 131
},
"outputId": "e73a413b-1519-4c85-b1d0-a0117cfe8a17"
},
"source": [
"import pymc3 as pm\n",
"import numpy as np\n",
"import pandas as pd\n",
"import matplotlib.pyplot as plt\n",
"import japanize_matplotlib\n",
"import seaborn as sns\n",
"sns.set(font=\"IPAexGothic\") # 日本語フォント"
],
"execution_count": 1,
"outputs": [
{
"output_type": "stream",
"text": [
"/usr/local/lib/python3.6/dist-packages/japanize_matplotlib/japanize_matplotlib.py:15: MatplotlibDeprecationWarning: \n",
"The createFontList function was deprecated in Matplotlib 3.2 and will be removed two minor releases later. Use FontManager.addfont instead.\n",
" font_list = font_manager.createFontList(font_files)\n",
"/usr/local/lib/python3.6/dist-packages/statsmodels/tools/_testing.py:19: FutureWarning: pandas.util.testing is deprecated. Use the functions in the public API at pandas.testing instead.\n",
" import pandas.util.testing as tm\n"
],
"name": "stderr"
}
]
},
{
"cell_type": "code",
"metadata": {
"colab_type": "code",
"id": "8I1dGxzG2yhY",
"colab": {}
},
"source": [
"class BayesianAB:\n",
" def __init__(self, sample_a: int, cv_a: int, sample_b: int, cv_b: int):\n",
" self.sample_a = sample_a\n",
" self.sample_b = sample_b\n",
" self.cv_a = cv_a\n",
" self.cv_b = cv_b\n",
"\n",
" # for input\n",
" self.obs_a = np.array([0] * (self.sample_a - self.cv_a) + [1] * (self.cv_a))\n",
" self.obs_b = np.array([0] * (self.sample_b - self.cv_b) + [1] * (self.cv_b))\n",
"\n",
" def fit_model(self, n_samples=10000, burn_in_rate=0.01):\n",
" \"\"\"モデルの作成と推論\"\"\"\n",
"\n",
" burn_in = int(n_samples*burn_in_rate)\n",
" # modelを変数として生成\n",
" with pm.Model() as self.model:\n",
" # 事前分布としてベータ分布を用いる( alpha bata が1のときは一様分布)\n",
" p_a = pm.Beta('p_a', alpha=1, beta=1)\n",
" p_b = pm.Beta('p_b', alpha=1, beta=1)\n",
" # 新たな生成量として行動を起こす確率の差を定義\n",
" delta_prob = pm.Deterministic('delta_prob', p_b - p_a)\n",
"\n",
" # 生成データはベルヌーイ分布(0/1の数値列)\n",
" obs_a = pm.Bernoulli(\"obs_a\", p_a, observed=self.obs_a)\n",
" obs_b = pm.Bernoulli(\"obs_b\", p_b, observed=self.obs_b)\n",
"\n",
" # 推論\n",
" with self.model:\n",
" trace = pm.sample(n_samples)\n",
" chain = trace[burn_in:] # burn in\n",
"\n",
" #self.trace = trace\n",
" self.chain = chain\n",
"\n",
" def show_model(self):\n",
" \"\"\"統計モデルの描画\"\"\"\n",
" return pm.model_to_graphviz(self.model)\n",
"\n",
" def show_summary(self):\n",
" \"\"\"パラメータの統計情報を表示\"\"\"\n",
" #print(pm.summary(self.chain))\n",
" return pm.summary(self.chain)\n",
" \n",
" def show_diff_prob(self):\n",
" \"\"\"Bの方が起きやすい確率。大きいほど有意に起きやすい\"\"\"\n",
" return (self.chain['delta_prob']>0).mean()\n",
"\n",
" def plot_trace(self):\n",
" \"\"\"パラメータの収束具合をplot\"\"\"\n",
" pm.traceplot(self.chain)\n",
" plt.show()\n",
"\n",
" def plot_posterior(self):\n",
" \"\"\"パラメータの確率分布をplot\"\"\"\n",
" pm.plot_posterior(self.chain)\n",
" plt.show()\n",
"\n",
" def plot_post_probs_hist(self, samples=1000, title=''):\n",
" \"\"\"\n",
" AとBの確率分布の差をplotで確認\n",
" 分布によっては差分の算出は中央値でもいいかもしれない\n",
" np.median(ba.chain[\"delta_prob\"])\n",
" \"\"\"\n",
" ppc = pm.sample_posterior_predictive(ba.chain, samples=samples, model=ba.model)\n",
"\n",
" plt.figure(figsize=(10, 6))\n",
" colors = ['blue', 'orange']\n",
" for samples, label, c in zip([ppc['obs_a'], ppc['obs_b']], ['p_a', 'p_b'], colors):\n",
" sns.distplot([n.mean() for n in samples], kde=False\n",
" , label=label, hist_kws=dict(color=c, alpha=0.2))\n",
" plt.axvline(self.chain[label].mean(), c=c, alpha=0.5)\n",
" \n",
" plt.title(title + '\\n'\n",
" f'CVRの差分(A-B): {self.chain[\"delta_prob\"].mean():.4f}' + '\\n'\n",
" f'Aの方が起こりやすい確率: {(self.chain[\"p_a\"] - self.chain[\"p_b\"] > 0).mean():.4f}'\n",
" )\n",
" plt.legend()\n",
" plt.show()\n",
"\n",
" def check_converge(self):\n",
" \"\"\"収束確認(summaryでも見れる)\"\"\"\n",
" gr = pm.rhat(self.chain)\n",
" \n",
" print(gr)\n",
" print('* 1に近かったら収束している')\n",
"\n",
" def show_metrics(self):\n",
" \"\"\"実際の値確認\"\"\"\n",
" print(f'A(sample, CV, CVR): {self.sample_a}, {self.cv_a}, {self.obs_a.mean():.4f}')\n",
" print(f'B(sample, CV, CVR): {self.sample_b}, {self.cv_b}, {self.obs_b.mean():.4f}')\n",
" print(f'実際のCVRの差分(CVR_B - CVR_A): {self.obs_b.mean() - self.obs_a.mean():.4f}')\n"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"colab_type": "code",
"id": "K5UpAge_0V1b",
"colab": {}
},
"source": [
"# sampla data\n",
"sample_a = 6746\n",
"cv_a = 972\n",
"sample_b = 6790\n",
"cv_b = 1200\n"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"colab_type": "code",
"id": "bcCCg_L55X7H",
"outputId": "30c19093-49ba-480a-a36f-3b304cd24208",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 130
}
},
"source": [
"ba = BayesianAB(sample_a, cv_a, sample_b, cv_b)\n",
"ba.fit_model(n_samples=10000)\n"
],
"execution_count": 4,
"outputs": [
{
"output_type": "stream",
"text": [
"Auto-assigning NUTS sampler...\n",
"Initializing NUTS using jitter+adapt_diag...\n",
"Sequential sampling (2 chains in 1 job)\n",
"NUTS: [p_b, p_a]\n",
"Sampling chain 0, 0 divergences: 100%|██████████| 10500/10500 [00:13<00:00, 797.22it/s]\n",
"Sampling chain 1, 0 divergences: 100%|██████████| 10500/10500 [00:13<00:00, 802.83it/s]\n"
],
"name": "stderr"
}
]
},
{
"cell_type": "code",
"metadata": {
"colab_type": "code",
"id": "JgoUQ1FYFKjU",
"outputId": "8fe70dc9-b2e3-4a4b-d314-3dc6353c07db",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 227
}
},
"source": [
"ba.show_model()"
],
"execution_count": 5,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"<graphviz.dot.Digraph at 0x7f4ea8c5e0f0>"
],
"image/svg+xml": "<?xml version=\"1.0\" encoding=\"UTF-8\" standalone=\"no\"?>\n<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n<!-- Generated by graphviz version 2.40.1 (20161225.0304)\n -->\n<!-- Title: %3 Pages: 1 -->\n<svg width=\"557pt\" height=\"155pt\"\n viewBox=\"0.00 0.00 557.00 155.00\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n<g id=\"graph0\" class=\"graph\" transform=\"scale(1 1) rotate(0) translate(4 151)\">\n<title>%3</title>\n<polygon fill=\"#ffffff\" stroke=\"transparent\" points=\"-4,4 -4,-151 553,-151 553,4 -4,4\"/>\n<g id=\"clust1\" class=\"cluster\">\n<title>cluster6,746</title>\n<path fill=\"none\" stroke=\"#000000\" d=\"M383,-8C383,-8 529,-8 529,-8 535,-8 541,-14 541,-20 541,-20 541,-71 541,-71 541,-77 535,-83 529,-83 529,-83 383,-83 383,-83 377,-83 371,-77 371,-71 371,-71 371,-20 371,-20 371,-14 377,-8 383,-8\"/>\n<text text-anchor=\"middle\" x=\"516\" y=\"-15.8\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"#000000\">6,746</text>\n</g>\n<g id=\"clust2\" class=\"cluster\">\n<title>cluster6,790</title>\n<path fill=\"none\" stroke=\"#000000\" d=\"M20,-8C20,-8 170,-8 170,-8 176,-8 182,-14 182,-20 182,-20 182,-71 182,-71 182,-77 176,-83 170,-83 170,-83 20,-83 20,-83 14,-83 8,-77 8,-71 8,-71 8,-20 8,-20 8,-14 14,-8 20,-8\"/>\n<text text-anchor=\"middle\" x=\"157\" y=\"-15.8\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"#000000\">6,790</text>\n</g>\n<!-- delta_prob -->\n<g id=\"node1\" class=\"node\">\n<title>delta_prob</title>\n<polygon fill=\"none\" stroke=\"#000000\" points=\"360.5,-75 191.5,-75 191.5,-39 360.5,-39 360.5,-75\"/>\n<text text-anchor=\"middle\" x=\"276\" y=\"-53.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"#000000\">delta_prob ~ Deterministic</text>\n</g>\n<!-- p_b -->\n<g id=\"node2\" class=\"node\">\n<title>p_b</title>\n<ellipse fill=\"none\" stroke=\"#000000\" cx=\"200\" cy=\"-129\" rx=\"51.9908\" ry=\"18\"/>\n<text text-anchor=\"middle\" x=\"200\" y=\"-125.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"#000000\">p_b ~ Beta</text>\n</g>\n<!-- p_b&#45;&gt;delta_prob -->\n<g id=\"edge1\" class=\"edge\">\n<title>p_b&#45;&gt;delta_prob</title>\n<path fill=\"none\" stroke=\"#000000\" d=\"M218.0109,-111.937C227.4065,-103.0359 239.0813,-91.9756 249.4874,-82.1172\"/>\n<polygon fill=\"#000000\" stroke=\"#000000\" points=\"251.9373,-84.6175 256.7898,-75.1992 247.1231,-79.5358 251.9373,-84.6175\"/>\n</g>\n<!-- obs_b -->\n<g id=\"node5\" class=\"node\">\n<title>obs_b</title>\n<ellipse fill=\"#d3d3d3\" stroke=\"#000000\" cx=\"95\" cy=\"-57\" rx=\"78.7863\" ry=\"18\"/>\n<text text-anchor=\"middle\" x=\"95\" y=\"-53.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"#000000\">obs_b ~ Bernoulli</text>\n</g>\n<!-- p_b&#45;&gt;obs_b -->\n<g id=\"edge4\" class=\"edge\">\n<title>p_b&#45;&gt;obs_b</title>\n<path fill=\"none\" stroke=\"#000000\" d=\"M176.436,-112.8418C162.2534,-103.1166 143.9737,-90.582 128.3276,-79.8532\"/>\n<polygon fill=\"#000000\" stroke=\"#000000\" points=\"130.1757,-76.8767 119.9491,-74.1079 126.217,-82.6498 130.1757,-76.8767\"/>\n</g>\n<!-- p_a -->\n<g id=\"node3\" class=\"node\">\n<title>p_a</title>\n<ellipse fill=\"none\" stroke=\"#000000\" cx=\"351\" cy=\"-129\" rx=\"50.8918\" ry=\"18\"/>\n<text text-anchor=\"middle\" x=\"351\" y=\"-125.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"#000000\">p_a ~ Beta</text>\n</g>\n<!-- p_a&#45;&gt;delta_prob -->\n<g id=\"edge2\" class=\"edge\">\n<title>p_a&#45;&gt;delta_prob</title>\n<path fill=\"none\" stroke=\"#000000\" d=\"M333.226,-111.937C324.0441,-103.1223 312.6565,-92.1902 302.4632,-82.4047\"/>\n<polygon fill=\"#000000\" stroke=\"#000000\" points=\"304.5952,-79.5996 294.9575,-75.1992 299.7475,-84.6494 304.5952,-79.5996\"/>\n</g>\n<!-- obs_a -->\n<g id=\"node4\" class=\"node\">\n<title>obs_a</title>\n<ellipse fill=\"#d3d3d3\" stroke=\"#000000\" cx=\"456\" cy=\"-57\" rx=\"77.1866\" ry=\"18\"/>\n<text text-anchor=\"middle\" x=\"456\" y=\"-53.3\" font-family=\"Times,serif\" font-size=\"14.00\" fill=\"#000000\">obs_a ~ Bernoulli</text>\n</g>\n<!-- p_a&#45;&gt;obs_a -->\n<g id=\"edge3\" class=\"edge\">\n<title>p_a&#45;&gt;obs_a</title>\n<path fill=\"none\" stroke=\"#000000\" d=\"M374.564,-112.8418C388.7466,-103.1166 407.0263,-90.582 422.6724,-79.8532\"/>\n<polygon fill=\"#000000\" stroke=\"#000000\" points=\"424.783,-82.6498 431.0509,-74.1079 420.8243,-76.8767 424.783,-82.6498\"/>\n</g>\n</g>\n</svg>\n"
},
"metadata": {
"tags": []
},
"execution_count": 5
}
]
},
{
"cell_type": "code",
"metadata": {
"colab_type": "code",
"id": "PRD31PJKFM3e",
"outputId": "93753201-1a19-4c88-f49b-d1a7e36bd367",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 143
}
},
"source": [
"ba.show_summary()"
],
"execution_count": 6,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>mean</th>\n",
" <th>sd</th>\n",
" <th>hpd_3%</th>\n",
" <th>hpd_97%</th>\n",
" <th>mcse_mean</th>\n",
" <th>mcse_sd</th>\n",
" <th>ess_mean</th>\n",
" <th>ess_sd</th>\n",
" <th>ess_bulk</th>\n",
" <th>ess_tail</th>\n",
" <th>r_hat</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>p_a</th>\n",
" <td>0.144</td>\n",
" <td>0.004</td>\n",
" <td>0.136</td>\n",
" <td>0.152</td>\n",
" <td>0.0</td>\n",
" <td>0.0</td>\n",
" <td>17718.0</td>\n",
" <td>17695.0</td>\n",
" <td>17685.0</td>\n",
" <td>12865.0</td>\n",
" <td>1.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>p_b</th>\n",
" <td>0.177</td>\n",
" <td>0.005</td>\n",
" <td>0.168</td>\n",
" <td>0.186</td>\n",
" <td>0.0</td>\n",
" <td>0.0</td>\n",
" <td>18413.0</td>\n",
" <td>18413.0</td>\n",
" <td>18396.0</td>\n",
" <td>13878.0</td>\n",
" <td>1.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>delta_prob</th>\n",
" <td>0.033</td>\n",
" <td>0.006</td>\n",
" <td>0.021</td>\n",
" <td>0.044</td>\n",
" <td>0.0</td>\n",
" <td>0.0</td>\n",
" <td>18120.0</td>\n",
" <td>17932.0</td>\n",
" <td>18088.0</td>\n",
" <td>13192.0</td>\n",
" <td>1.0</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" mean sd hpd_3% hpd_97% ... ess_sd ess_bulk ess_tail r_hat\n",
"p_a 0.144 0.004 0.136 0.152 ... 17695.0 17685.0 12865.0 1.0\n",
"p_b 0.177 0.005 0.168 0.186 ... 18413.0 18396.0 13878.0 1.0\n",
"delta_prob 0.033 0.006 0.021 0.044 ... 17932.0 18088.0 13192.0 1.0\n",
"\n",
"[3 rows x 11 columns]"
]
},
"metadata": {
"tags": []
},
"execution_count": 6
}
]
},
{
"cell_type": "code",
"metadata": {
"colab_type": "code",
"id": "GNOrc7d10Tqp",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 36
},
"outputId": "16348ee8-6cc9-46b3-9105-caa6102daaad"
},
"source": [
"print('Bの方が起きやすい確率:', ba.show_diff_prob())"
],
"execution_count": 7,
"outputs": [
{
"output_type": "stream",
"text": [
"Bの方が起きやすい確率: 1.0\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"colab_type": "code",
"id": "r71qeY2pG1mK",
"outputId": "4461f9ac-bd6c-4c89-e847-15d6856faf01",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 74
}
},
"source": [
"ba.show_metrics()"
],
"execution_count": 8,
"outputs": [
{
"output_type": "stream",
"text": [
"A(sample, CV, CVR): 6746, 972, 0.1441\n",
"B(sample, CV, CVR): 6790, 1200, 0.1767\n",
"実際のCVRの差分(CVR_B - CVR_A): 0.0326\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"colab_type": "code",
"id": "YI17cBt0koFj",
"outputId": "deb7e883-6bad-4be5-edad-168716b56985",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 149
}
},
"source": [
"ba.check_converge()"
],
"execution_count": 9,
"outputs": [
{
"output_type": "stream",
"text": [
"<xarray.Dataset>\n",
"Dimensions: ()\n",
"Data variables:\n",
" p_a float64 1.0\n",
" p_b float64 1.0\n",
" delta_prob float64 1.0\n",
"* 1に近かったら収束している\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"colab_type": "code",
"id": "taIn7pNOdpW2",
"outputId": "46448558-f519-4ba9-9ecd-357bc369a811",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 260
}
},
"source": [
"ba.plot_posterior()"
],
"execution_count": 10,
"outputs": [
{
"output_type": "display_data",
"data": {
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8y2PG17NnazV//sJ3fG/evPnveG5d3Tl997vfVm1trTZt2qK77vrbdzz/979/Uk899Vt19Qwoxv4+xSRkXPb7CcBzUGgHvITb7X5rV/I7P3arJCktba5ycpYpMXH8Anju3LlqamqUJO3atVMpKanat2+PpPE76TU1VZK2KiIiQo899rA6Ozs1Ojqq4OA/F6/T0uZqw4aNkqT58xeopaX5rf/+2c8evGg+h6PircLEm9799UR0dXXpX/7lW/qnf/qeYmPH+8kGB9nkdkuvHj6nj1y1eNLHBADgvfQOjOjVw+e00h6vjKSIt75/1VXXSPLN8VaS2tpalZSUpEWLMuVyuXTgwH5VVjqUnJyivEVxSosP058O1Gr10kRZmGoHAJiiwWGnJGnTpq0KDwmY8PgaGGhTV1e3x4yvNttfltLe/dy0tLl66KFfq62tTQ88cJ/Ky8u0Zs26tx6/7bYP67bbPqzXd+/TD+/7hf6w84Q+c8uKi+YD4B0otANeoqK2UzWNvZKkgPMDu2EYsrxtObdhGHK73ZIkl2tMX/vat7Rw4aJ3HGdkZER33/0Fffe739e6dRt09uwZ/ehH33/r8bd/aBg/nkvS+CzzH/3o3y6Y7VOfukvZ2UvV1dWpvr6+tzZ5OXOmRunpk7szX1R0UF1dXfrOd7711vc62ls1vPc/9WL3rbpp/TyFBQdM6pgAALyXlw6e1fDImD5QuOAd3zcMy/n/973xdmhoSP/4j1/XCy+8qqCg8QLFP/zDV3TDDVu1atVrCgkJ0fVrM/Tgcyd0pLJNK+zxkzo+AADvtv/4+N4fhXnjG45PdHyNj49Qa+v4tbAnjK9z52bo6NGSd3yvtrZGeXkFksYnyb1ZeI+Li9N1192o+++/761C+9sf31S4To/95km98sqf9OGrcxQVHnTpNxKAx6LQDniJFw/UKioscMLP37hxsx577GF95zv/TzabTS+99IKCg4O1evVaOZ2jWrIkR5L0/PPPamzMecnjzZ+/QA888Mv3fE5h4Sb9+te/1N/93Zc0OjqqJ574X9100y0TzixJW7deq61br33H9z74wZv0X/c/oe88ckg7S+p147p5kzomAAAX09U3rB3FdVqzNDWcY3kAACAASURBVFGpcWGT/nmzx1un03lZ463b7Zbb7dKRIyVvXfgfPnxQhmF56+L/iqwEPbOrRn/af0YFmXGXPXMeAAC3262dJfWSpPTEv9yg+93ePr5K8qjxdevWa/Toow/K4aiQ3Z6l6uoqlZQU6ytf+YaGh4f0mc98Ut/85nfe6uF++PABJSWN92jft2+Pnn76Sf3bv/1IISEh6u3tVX9HrawpC7W9pE63blz4F68HwHtQaAe8wJmmHh0/06kPbVqow09O7Ge+8IW79T//89/69KfvUEhIqNLS5urLX75HoaFh+tKXvqIvfOEuRURE6sYbP6CDB/fJ5XJNOefdd9+je+/9d33iEx9RQIBNq1ev1003jW8c88ILz+rUKYfuvvueyzr23IRw5SyI0baic7p21VwF2KxTzgsAwJ/218o55tYHNsy/rJ83e7w1DIvWry+c9HgbEhKiH/zgP/Xoow/pkUcelMvlUkhIiO699763luBbLRZdvzZDj71UoRNnOrV0fsyUswMA/FPluS7Vt/VLmljLs7ePr5GREUpMTPGY8TUqao6+970f6Ic//H+yWq2S3Pre9/5dkZFRkqR77vlH3X//fRoZGZHT6VRiYqK+/OWvS5LWrl2vM2dq9PnP36WgoEANDg7p/TfdrJ6wFdpZUq/r12QoOJBSHeCtjDeX5VxIa2vvxR+chLcv8/E3/nzuEuc/Xed//zPHdLymXT/+3HqFBnvHoDsTf/YnznTo3t8e1aeuz1LhspRpPfZ08+e/+/587tLMnH98fMSUppFO13g+Wf74d8Efz1ny3vNu7x7SNx/cr3U5yfrk+7Im/fPeet6TMep06Ru/2K/E6BDd89HxJfH+cN7v5o/nLHHeM3BcjxvP/fXPeCbxnl7YQ88f19HT7frPL6xXUMDkJk35w3t6ur5b33+8WB/dulhbV86d8dfzh/d0tvGeTj9Pfk8vNqZbLvRNAJ6juWNAxRUt2pyf5jVF9pmSnRGttPgwvXa4Tu91kxAAgIl4fl+NJOkmWpJdVIDNomtXpavibJdO13ebHQcA4IUGh50qdrRq9ZLESRfZ/cWi1CgtSovSq4fPaWwaZucDMAeFdsDDvXTwrKxWi65emWZ2FNMZhqGrV85VXWufKs52mR0HAODFmjsHtKesSZuWpyo2KtjsOB5tY16ywoJteuXgWbOjAAC80OGKFo04XVqfk2R2FI923ap0tXUPqdjRanYUAJeJQjvgwbr6hrXvWKM2LEtm9/Hz1ixNVHhIgF47fM7sKAAAL/anfbWyWQ3dsDbD7CgeLzjQpk35qSqpbFVz54DZcQAAXmZveaOSYkK1ICXS7CgebfmiOCVGh+jlg2dZwQ14KQrtgAd77fA5jbncum7VzPdo8xYBNqs256eq9HQbF/sAgMvS3j2k/cebtDEvhRvZE3TVijRZrQY3ugEAk9LcOaBTdd1an5s0oU1Q/ZnFYujaVek609SrynOs4Aa8EYV2wEMNDDm180i9rshKUEJ0qNlxPMqWglRZLIa2FdWZHQUA4IVePjTeAuW61ekmJ/Eec8KDtGZpkvaUNaqnf8TsOAAAL7G3vEmGIa3LSTY7ildYl5OkiNAAvUS7NsArUWgHPNSesgYNjYzp2lUUAd4tKjxIq5ckak9ZowaGRs2OAwDwIj39I9pV2qC1OUmKiaQ3+2Rce8VcjThdeun8JrIAALwXl9ut/ccatXRejKIjWEE2EYEBVl1VkKayqnY1tPWbHQfAJFFoBzyQy+XWtuI6LU6L0vxk+thdyNUr52p4dEy7yxrNjgIA8CKvFZ2T0+nS9WvozT5ZqfHhWrYwVi/sqdGoc8zsOAAAD+eo7VR7z7DW5zKbfTI2FaTKZjW0o4QV3IC3odAOeKAjp9rU1j2kq1fSm/1iMpIilDl3jrYV1WnM5TI7DgDACwwMjWpHSZ1WZiUoKYa2bJfj2lXp6uob1v7jzWZHAQB4uD3lTQoJsil/cZzZUbxKZGigVmUnau+xJg0OO82OA2ASKLQDHmhb0TnFRgYrP5MPJO/l6pVz1d4zpCOVbWZHAQB4gR0l9RocHtMNa5nNfrmy0udoYVqUXjl0Vi632+w4AAAPNTjsVLGjRauzExQYYDU7jte5akWahkfGtLecFdyAN6HQDniY2qZeOc516aoVabJa+BV9L/mL4xQXFcySOgDAJQ2PjunVw+e0bGGs0hMjzI7jtQzD0C1XLlJj+4DKqtrNjgMA8FBFFS0acbpoG3OZ5idHakFKpLaX1HNjG/AiVPEAD7Ot6JyCAqzamMcHkkuxWAxtLkhVxdku1bX0mR0HAODBdpU2qG9wlN7s02B9XopiI4P06qGzZkcBAHioveWNSooJ1YIU9hy7XFetSFNzx4BOnOkwOwqACaLQDniQ7r5hHTzZrA25yQoNDjA7jlcoXJaiAJuFWe0AgItyjrn0yqGzWpwWpcy5c8yO4/VsVou2FKRxoxsAcEFt3YOqrOvW2pwkGYZhdhyvtdKeoMjQAG0v4loX8BYU2gEPsvNIvZxjbm1dmWZ2FK8RHhKg1UsSte94kwaGRs2OAwDwQCWVreroGdb7VjObfboU5qUo0GbRtuJzZkcBAHiYQydbJEmrlySanMS7BdgsunJ5qsqq2tXSNWh2HAATQKEd8BCjzjG9fqReeQtjlRgTanYcr3JVQZpGRl3aU95kdhQAgAd69fA5JUSHaNmiWLOj+IzwkACtzUnS/uPN6hvkRjcA4M8OnmjWgpRIJcwJMTuK19uUnyqLxdBOVnADXoFCO+AhDp1sUc/AqK6+Yq7ZUbxORlKEFqVFaUdJHRvFAADe4XR9t6obenT1yrmysHx9Wl21Ik2jTpfeOFpvdhQAgIdoaOvXuZY+ZrNPk+iIIBVkxmt3aaOGR8fMjgPgEii0Ax5ie3GdUuLClJ0RbXYUr3RVQZpaOgd1rJqNYgAAf/ba4XMKDbJpfW6S2VF8Tlp8uLIzorWjpF5jLpfZcQAAHuDgiWYZhrQqK8HsKD7jqhVpGhh26sBxVnADno5CO+ABahp7dKapV5vzU9ks5jKtsMcrKiyQTVEBAG9p7x5SsaNVG5enKDjQZnYcn7R1ZZo6e4d1pLLN7CgAAJO53W4dPNGsrPRoRYUHmR3HZyxOi1JafLheP9JgdhQAl0ChHfAAO4rrFBRo1bocZttdLpvVok35qSqvaldz54DZcQAAHmD7+ZuvVxWwyfhMyVsYp7ioYL1WxKaoAODvzjT1qqVrkLYx08wwDG3KT1Ftc6/ONPWYHQfAe6DQDpisb3BUB0+2aN3SJIUEMdtuKq5cnnJ+oxh6xQKAvxsaceqNow1aYY9XbFSw2XF8lsViaOuKNJ2q61ZtU6/ZcQAAJjp4ollWi6EV9nizo/icNUuSFGiz6I2jzGoHPBmFdsBku8sa5BxzaXNBqtlRvN6c8CCtsMdrd1mjhkfYKAYA/Nne8iYNDjvZZHwWbFiWrKAAq7YVM6sdAPyVy+XWoZPNWrYwVmHBAWbH8TmhwTZdkZ2gAyeaNTTiNDsOgIug0A6YyOV2a2dJvTLnzlFafLjZcXzCVSvSNDjs1P4TbBQDAP7K5XbrtaJzWpASqUWpUWbH8XmhwQFal5ukgyea1dM/YnYcAIAJKs91qatvhLYxM+jK5akaHhnToZMtZkcBcBEU2gETHatuV1v3kLYwm33aLEqNUnpiuLYX18ntdpsdBwBggvKqdrV0DuoaZrPPmq0r0uQcc+uNo7RvAwB/dPBks4ICrMpbFGd2FJ+1MCVSqXFhtI8BPBiFdsBEO0rqFRkWqIJMethNF8MwdFVBmupb+1V5rsvsOAAAE+w8Uq8oxtdZlRwbppz5MdpxpF7OMZfZcQAAs8g55lJRRYvyF8cpKMBqdhyfZRiGNi5PUU1jj842sy8K4IkotAMmae0aVHlVu67MS5HNyq/idFq9JFFhwTZtL64zOwoAYJa1dY+Pr4WMr7Nu68o0dfeNqMjBknYA8CfHazrUP+TUKtrGzLi1S5MUYLNoVymz2gFPxNUHYJLXj9TLMAxduTzF7Cg+JzDAqo15KSqpbFNHz5DZcQAAs2hXaYNkSFfmMb7OtpwFsUqMDtH2Im50A4A/KapoUUiQTTnzY8yO4vPCQwK00h6v/cebNDw6ZnYcAO9CoR0wwajTpd1ljVq+OE4xkcFmx/FJm/JT5Xa76V8HAH7EOebS7tJGLVsQq9goxtfZZjEMXbUiTVUNPapu6DE7DgBgFjjHXDpyqk35i+NYSTZLrlyeqsHhMR1mU1TA4/CvIGCC4soW9Q2OalM+s+1mSvycEOUujNWu0gZ6xQKAnzh6qk3d/SPalM8m42ZZn5usoECrdh5hVjsA+IOTtZ0aGHZqpT3B7Ch+Y3FalJJjQ2kfA3ggCu2ACXYdbVBcVLCWzGNp3UzaUpCq7v4RlVS2mh0FADALXj9ar9jIIOUuiDU7it8KCbJp7ZJEHTo5PqkAAODbiipaFBxo1dL50WZH8RuGYahwWYpO13eroa3f7DgA3oZCOzDLmjoGVHG2S1cuT5HFMMyO49NyFsQqLipYO0rqzY4CAJhhzR0DOnGmUxuXp8piYXw106b8VI06XdpX3mh2FADADHKOuVRS2arli+MUYLOaHcevrM1JksUwtO9Yk9lRALwNhXZglr1xtF5Wi6ENuclmR/F5FsPQ5oJUVZ7rUl1rn9lxAAAz6I2jDbJaDBUuY3w1W3pihBamRmrn0Qa53W6z4wAAZojjXJf6h2gbY4aosEDlLIjR/uNNcrkYawFPQaEdmEWjTpf2ljdp+eI4RYUHmR3HLxQuS5HNatFOZrUDgM8adY5pT3mj8hfHaQ7jq0fYnJ+q5o4BnaztNDsKAGCGFFe0KCjAqpz5tEQ1w/rcZHX2DjPWAh6EQjswi0oqW9U3OKorl7MJ6mwJDwnQ6uwE7TvepMFhp9lxAAAzoMjRen6TcTZB9RRXZCUoPCRAO49woxsAfJHL5VZxZavyFsUqMIC2MWZYvihWoUE27T1GqzbAU1BoB2bRG0fr2QTVBJsL0jQ8Mqb9x+lfBwC+6I2jDUqIDlFWBhuxeYoAm1UbcpN1pLJNnb3DZscBAEyzynNd6h0YpW2MiQJsVq1akqgSRyuTygAPQaEdmCVsgmqeBSmRmpcUoR0l9fSKBQAf09w5oMpzXSpclsz46mGuzE+Ry+3W7tIGs6MAAKbZYUeLAm0W5S6INTuKX1ufk6QRp0tFFS1mRwEgCu3ArGETVHNtLkhVQ1u/Ks91mR0FADCN9pY3yTCkdTmMr54mMTpUS+fH6I3SBo25XGbHAQBME5fLrRJHq3IXxiookLYxZlqQEqnEmFDtPcbqbcATUGgHZgGboJpvdXaiwoJt2s6mqADgM1wut/Yda9TS+TGKjmB89USb81PV2Tus0tPtZkcBAEyT0/Xd6u4foW2MBzAMQ+tzklR5rkutXYNmxwH8HoV2YBawCar5AgOs2rAsWUcqW+kVCwA+4mRtpzp6hlkt5sHyFsUqOiKITVEBwIcUVbTIZrVo2ULaxniCtUuTZEjax6x2wHQU2oFZwCaonmFTfqrGXPSKBQBfsae8UWHBNuUvjjM7Ci7CarHoyrwUHa/pUHPngNlxAABT5HK7VVzZqtwFMQoJspkdB5Jio4KVlRGtfcca2ZMMMBmFdmCGsQmq50iMDlXOghi9frRezjF6xQKANxsYGlVJZatWL0lUgI3+sJ6sMG/8M9AbR7jRDQDerrqhR529w7SN8TDrcpLU2jWkU3XdZkcB/BqFdmCG7TrawCaoHmRLfpq6+kZ09FSb2VEAAFNw6GSLRp0ubVjG+OrpoiOClJ8Zpz3ljRp1jpkdBwAwBeNtYwzlLWI1mSdZaU9QUIBV+4/TPgYwE4V2YAaNOse0p7yRTVA9yLKFsYqNDNaOkjqzowAApmBPeaNS48OUkRhhdhRMwKb8VPUNjupwRYvZUQAAl8ntdqvY0aKl82IUGkzbGE8SFGhV/uI4FVW0sHobMBGFdmAG7S9vZBNUD2OxGNqUn6KKs11qaOs3Ow4A4DI0tPWruqFHG3KTZdCWzStkZ0QrMTqETVEBwIudaepVe8+wVmbRNsYTrVqSqP4hp47XdJgdBfBbFNqBGfTKgVo2QfVAhXkpslkNLvYBwEvtKW+U1WJo7dIks6NggiyGoSuXp6qqvkd1rX1mxwEAXIaiihZZLYaWswm5R8qZH6OwYJsOnmw2Owrgtyi0AzOkpWtQZafbVLgsmU1QPUxkaKCuyErQvmONGhpxmh0HADAJYy6X9h9r0rKFsYoMCzQ7DiZhXW6SrBZDu0sbzY4CAJgkt9utIkeLsudFKyw4wOw4uACb1aIV9gQdqWzT8Ch7ogBmoNAOzJA9ZQ2yGNJ6NkH1SJsL0jQ4PKYDx7nbDwDe5HhNp7r7R7Quh/HV20SGBio/M177jrEpKgB4m7PNfWrtGtJKO21jPNnqJYkaHh1T6ek2s6MAfolCOzADxlwu7SlrVEFWomIig82OgwtYmBKp9IRw7Sipk9vtNjsOAGCCDpxoUliwTXmLYs2OgstwZV6K+oecKqmkAAAA3qTI0SKLYSiftjEezT53jqLCA3XwBBPKADNQaAdmQHl1h7r6RnTN6nSzo+AiDMPQlhVpqmvt16m6brPjAAAmYGjEqZLKVl2RlSCblY+x3ih7XrRiI4O1q7TB7CgAgAlyu906XNGirIw5igilbZsns1gMrcpKVHl1uwaGRs2OA/gdrlCAGbC7tEGRoQG6YgmbtHmy1dmJCgmysSkqAHiJI6faNDLq0ho2QfVaFsNQYV6yTtZ2qqVzwOw4AIAJqGvtV0vnIG1jvMTqJYlyjrlVXNlqdhTA71BoB6ZZd9+wSk+3a31uMrPtPFxQoFUbcpNVVNGi7v4Rs+MAAC5h//EmxUYGa1FalNlRMAUbcpNlGNLuMjZFBQBvUFTRIsOQ8jPjzY6CCZifHKGEOSG0jwFMQBUQmGZ7jzXJ5XarMC/F7CiYgE35KRpzuVnCDgAerrt/RCdqOrVmaaIshmF2HExBTGSwchfEak95o8ZcLrPjAAAuocjRMt77O4y2Md7AMAytWpKgk7Wd6u4bNjsO4FcotAPTyO12a3dpgzLTopQUE2p2HExAcmyYlsyL1utH6rnYBwAPduhks1xuN21jfMTGvBR1942ovKrD7CgAgPdQ39avxvYBraBtjFdZnZ0ot1s6XNFidhTAr1BoB6ZR5bkuNXcOMpvdy2wpSFNn73jLHwCAZzpwvEnpCeFKjQszOwqmwbKFsYoMC2RFGQB4uOKKFhmSVthpG+NNUuPDlRYfpoMnaR8DzCYK7cA02lXaqJAgq1Zmcbffm+QtilV0RJB2ltSZHQUAcAFNHQOqaexlNrsPsVkt2pCbrNKqNnX2sqwdADxVkaNFi9OiNCc8yOwomKRV2Ymqqu9RR8+Q2VEAv0GhHZgmA0OjKnK0aM2SJAUFWM2Og0mwWizatDxFx890qqljwOw4AIB3OXC8SYak1UsSzY6CaVS4LFlut7S3nE1RAcATNbb3q661XyuYSOaV3pwAWOxoNTkJ4D8otAPT5OCJZo06XSrMSzY7Ci7DxrwUWS2GdpbUmx0FAPA2brdbB443KysjWtERzKbzJYkxocpKn6NdpQ1yud1mxwEAvEvR+QLtikzaxnijpJhQpcWHq8hBn3ZgtlBoB6bJrtJGpSeEKyMxwuwouAxR4UFaYY/XnvJGDY+MmR0HAHBedUOPWroGtWYps9l90ca8FLV1D6mittPsKACAdymuaNHC1EjFRAabHQWXaWVWvE7XddOmDZglFNqBaVDb1Kva5l4V5qXIMAyz4+AybSlI0+Cwkw1jAMCDHDjeLJvVohWZLFv3RSvs8QoLtrEpKgB4mObOAZ1t6dNKO+OvN1tpT5BbUkkl7WOA2UChHZgGu8saZLNamG3n5RanRSktPkw7iuvkZgk7AJjO5XLrsKNFeYtiFRpsMzsOZkCAzao1S5NUUtmq3oERs+MAAM57s6/3CjttY7xZSlyYUuLCVEz7GGBWUGgHpmhkdEz7jzdrZVa8woIDzI6DKTAMQ5sL0nS2pU9VDT1mxwEAv+c426me/hGtyuZGti/bmJci55hb+4+zogwAPEVRRYvmJ0coLirE7CiYopX2eDnOdam7nxvawEyj0A5MUbGjVYPDTm1clmJ2FEyDtUsTFRxo1c6SOrOjAIDfO3iyRUEBVi1bGGt2FMyguQnhmpcUoT1ljawoAwAP0NY1qDNNvbSN8REr7Qlyu6UjtI8BZhyFdmCKdpU2KCE6RPb0OWZHwTQIDrRpfU6yDle0qIcl7ABgGueYS8WOFuUvjlNQgNXsOJhhG5Ylq661T2eb+8yOAgB+r4i2MT4lNT5MiTGhKqJ9DDDjKLQDU9DcMSDHuS4VLktmE1QfsrkgVc4xt3azMRsAmObEmU71Dzl1RTaz6fzBquxE2ayG9pQ3mh0FAPxesaNF6YnhSogONTsKpoFhGFppj1dFbRf7oQAzjEI7MAW7yxplMQyty0k2OwqmUUpcmLLS5+j1Iw1yuVjCDgBmOHSyWSFBNuXMp22MPwgPCVD+4ngdON6kUafL7DgA4Lc6eoZU1dBD2xgfs9KeIJfbrSOn2syOAvg0Cu3AZRpzubS3vFHLFsYqOiLI7DiYZlsK0tTeM6SyqnazowCA3xl1junIqVYVZMYpwMbHVX+xPjdZ/UNOlVVRBAAAsxSfbxuzMotCuy9JTwxX/Jxg2scAM4wrF+AylVW1q7t/RBvz2ATVFy1fHKc54YHacYRNUQFgtpVXd2hweEyrsxPNjoJZtHR+tKLCA7WnjPYxAGCWw44WpcWHKSmGtjG+ZLx9TIJOnulU/9Co2XEAn0WhHbhMu0sbFRUeqNyFMWZHwQywWS26cnmqjlV3qKVzwOw4AOBXDp1sVnhIgLIyos2OgllktVi0LidJ5dUd6u4bNjsOAPidjp4hna7r1hXMZvdJK7MSNOZy6yjtY4AZQ6EduAydvcMqrWrThtxkWS38GvmqjXkpsloM7TxSb3YUAPAbwyNjOnq6TSvt8bJZGWP9zfqcZLncbu0/3mx2FADwO7SN8W3zkiIUGxmkograxwAzhasX4DLsO9Yot1vasIxNUH1ZdESQ8jPjtaesUSOjY2bHAQC/UFrVppFRl1bRNsYvpcSFaUFKpPaWN8rtZkNyAJhNb7aNSY4NMzsKZoBhGFphT9DxMx3qH6R9DDATKLQDk+Ryu7W7tFFZ6XOUGE3fOl+3JT9V/UNOHTzJzDoAmA2HTrYoKixQmXPnmB0FJtmQm6z6tn6daeo1OwoA+A3axviHlVkJco65dfhEk9lRAJ9EoR2YJMfZLrV0DaqQTVD9gj19jlLiwrSzhPYxADDTBoedKqtq1xVZCbJYDLPjwCSrshMUYLNobzmbogLAbKFtjH9YkBKp6Igg7S1rMDsK4JMotAOTtLu0QaFBNq3IjDc7CmaBYRjanJ+qM029qmnsMTsOAPi0I6da5RxzadUS2sb4s9DgABVkxuvgiWaNOmndBgCzgbYx/sFiGFqRGa/iihYNDjvNjgP4HArtwCT0D42qyNGqtUuTFBhgNTsOZsm6nCQFBVq1o7jO7CgA4NMOnWxRbGSQFqZEmh0FJlufm6T+IaeOnm43OwoA+LzO3mHaxviRlVkJGnW6VF7NGAtMNwrtwCQcON4s55hLhXlsgupPQoJsWrc0SQdPtqiPTWMAYEb0DY7qeE2HrshOlGHQNsbfLcmIGV/aTvsYAJhxRRUtkmgb4y8WpUYpOiJIh8//uQOYPhTagQlyu93aVdqgjKQIpSdGmB0Hs2xzQaqcYy7tppcdAMyIkspWjbncWpXNRT4ki8XQupwklVe3q7N32Ow4AODTaBvjXywWQ2tyk1Ve3a7hUVq0AdOJQjswQbXNvTrX0qeNbILql9Liw5U5d452ltTL5XabHQcAfM6hk81KiA5RBjezcd763GS53dKB401mRwEAn/Vm2xhms/uX9ctSNDLq0jHaxwDTikI7MEG7ShsVaLNodTYbtPmrLQWpause0rHqDrOjAIBP6e4f0cnaTq3KTqBtDN6SFBOqRalR2lPeKDc3uQFgRrzZNob+7P4lZ0GswkMCVORoNTsK4FMotAMTMDw6poMnmrTCnqDQYJvZcWCSgsx4RYYFakcJm6ICwHQqdrTI7ZZWcTMb77JhWbIa2wdU3dhjdhQA8Em0jfFPVqtFBZlxKj3dplEn7WOA6UKhHZiAkspWDQ6PqXAZm6D6M5vVoivzUlRe1a7WrkGz4wCAzzh0olmpcWFKiw83Owo8zEp7ggJsFu0rp30MAEw32sb4txX2BA2NjOl4TafZUQCfQaEdmIA9ZY2KiwpWZvocs6PAZFcuT5FhGHr9SL3ZUQDAJ3T0DKmyrltXsAkqLiA02KaCzHgdOtnMjDsAmGZFDtrG+LPsjGiFBtlUfP7vAYCpo9AOXEJb96Aqaju1ITdZFvrG+r2YyGAtXxyn3WWNXPADwDR4szcsbWNwMetzk9Q/5NTR02zYBgDT6XDF/2fvPgPjqs7t4a9pGmnUe++9F9uybLkDNmDTjMGQQEgouZf2BkgCody0N7lcSCiBEAgJgeQCpoMBY3AvkpssWb33Oup9VKb9Pwj7mripjLSnrN83SyNpHVln9jnP2fvZbBtjy+QyKdKivXCqpgc6vUF0HCKrwEI70SWcXqq8PNlPcBIyF+syAjEypkVeJZ/8ExHN1fGKLoT4OsHPQyU6CpmphFAPuDsrkVvSIToKEZHVYNsYAqZatGkmdKhsYvsYIlNgoZ3oIgxGI3JKOhAX6g4vVwfRcchMxIe6w89DhX0FbB9DRDQX3QNjaOgYwlLOZqeLkEolyEr0RWl9HwZHJ0XHISKyCmwbQwCQGO4OpZ0MJ6u6RUchsgostBNdRHXzAHoGx7GCUSR58wAAIABJREFUm6DSWSQSCdZmBKK+fQiN6iHRcYiILNaJik4AvMmnS8tO8ofBaMSxMm6KSkRkCmwbQwCgkMuQFuWFgupu6A1sH0M0Vyy0E11ETkkHHJQyZMR4i45CZiY7yQ92CilntRMRzcHx8k5EBrrAy42rxujiArwcEe7vgtySDhiNRtFxiIgsGtvG0NkWxXhjZEyL6pZB0VGILB4L7UQXMDahw8mqLmTG+0KpkImOQ2ZGZa9AVoIfjpd3YnRcKzoOEZHFae0eQWv3KLISuAcKTU92sh9au0fR3DkiOgoRkUU7vdcUV5QRACRHesJOIT3TToiIZo+FdqILyKvswqTWgBXJbBtD57cuIxBanQG5xdycjYhopo6Xd0IiAWfT0bRlxvtCLpMgt5TjLhHRXBwv70SIrxPbxhAAQKmQITnCEwVV3TBw1RjRnLDQTnQBOSUd8PdUISLARXQUMlMhvs6ICnTFvlNtvCAhIpoBo9GIExWdSAjzgKujneg4ZCGcHBRIjfLC8fJO6PTsI0tENBtd/RpuRE7nWBzrg8HRSdS2sn0M0Vyw0E50Huo+DWpbB7Ei2R8SiUR0HDJjazMC0dU/hvLGPtFRiIgsRn3HELoHxnmTTzOWneyPYY0WJfW9oqMQEVmkExVT7UEyOQbTWVIiPSGXSZFf1S06CpFFY6Gd6DxySzoglUiwLIl9Y+niFsf6wFmlwH5uikpENG3Hyzohl0m52TjNWFK4B1xUCuSWqEVHISKySMcrOhEV5ApPV3vRUciMOCjlSAr3QH51FzcdJ5oDFtqJ/o3BYMSRUjWSIjzg5qQUHYfMnEIuxYpkfxTV9qJ/eEJ0HCIis2cwGHGisgupkZ5Q2ctFxyELI5dJkZXoh6LaHoyMcTNyIqKZaO0eQVv3KFeU0XktivVG39AEGjqGRUchslgstBP9m7LGPvQPT3ATVJq2VWkBMBiNyCnh5mxERJdS0dyPodFJLE3gTT7NzvIkP+gNRhwv7xQdhYjIopyo4EbkdGFp0V6QSSU4WdUlOgqRxWKhnejf5BR3wMlBgbRoL9FRyEL4uqsQH+qOQ4XtMBi4zI6I6GKOl3fC3k6GlEhP0VHIQoX4OiPExwm5fMBNRDRtRuPUA8qEUHduRE7n5WivQHyYO/Kr2D6GaLZYaCc6y8iYFqdqupGV4Au5jKcHTd/qtAD0Do2jjJuiEhFdkFZnQH5VNxbFeMNOIRMdhyzY8mR/NKqH0dY9IjoKEZFFaOgYRvfAODK5oowuYnGsD7oHxtHcyfGVaDZYSSQ6y/HyTuj0RqxIYdsYmpmMGG84qxQ4WNguOgoRkdkqqe/F2ISObWNozrISfCGTSpBbyk1RiYim40RFJ+QyCRZxI3K6iPRoL0glEuRXs30M0Wyw0E50lpySDoT4OCHE11l0FLIwcpkU2cn+KKzpwcAIN0UlIjqfY+WdcFZNLUsmmgsXRzskR3jiaJkaeoNBdBwiIrNmMBhxoqITyRGeUNkrRMchM+asskNsiBtOVnazfQzRLLDQTvSt1q4RNKmHkc3Z7DRLq1O/3RS1mD1jiYj+3diEDkW1PVgS5wOZlJegNHfLk/wwODKJ8sZ+0VGIiMxadcsABka4ETlNz+JYb6j7NGjvGRUdhcji8C6H6Fs5JR2QSSXI4sUHzZKvx7ebohZxU1Qion93qqYbWp0BWQl+oqOQlUiN8oKjvZybohIRXcLxik7YKaRIjfQSHYUsQEaMNyQATlZ1i45CZHFYaCcCoNMbcLRMjbRoLziruAM7zd7qtAD0DI6jsJoXJUREZzte3gVPF3tEBrqIjkJWQiGXYmmCLwqqe6AZ14qOQ0RklrQ6A05WdiEj2htKO25ETpfm6qREdJAr8qvYp51oplhoJwJQXNeLYY0WK5LZNobmJj3aG04OCnx9rFF0FCIiszGkmURZQx+WJvhCIpGIjkNWJDvZHzq9AScqWQwgIjqf4roejI7rsCyJK8po+hbF+qC1exTqPo3oKEQWhYV2IgA5xR1wdbJDUoSH6Chk4RRyKVYk++NEmZqbohIRfSu/sgsGo5G9Ycnkwvyc4e+pwpEStegoRERm6UipGi6OdkjgRuQ0A4tivQEAeRWdgpMQWRYW2snmDY5MoLiuF8sT/bg5G5nEqrQA6A1G9owlIvrW8fJOBHg5IsjbUXQUsjISiQQrkv1R2zaITs66IyL6jpExLYrrepGV4Mt7XZoRDxd7RAe54nhFF4xG7j9GNF18pyWbd7SsEwajEStS2DaGTMPPQ4WUKC8cLGyHgRclRGTjegbHUN06iKXxPmwbQ/MiK9EPEgmQW8oH3EREZ8ur7ILeYMSyRLaNoZnLSvBFe88oWrtHRUchshgstJNNMxqNyCnpQGSAC/w9OcuOTGdDVih6BsdR0dgvOgoRkVBHy6aWHPMmn+aLu7MSiWEeOFqq5gNuIqKzHC1VI9DLESG+TqKjkAVaFOcDqUSC4+VsH0M0XSy0k01r6BhGe88osjmbnUxsWbI/nBwUOFDYJjoKEZEwRqMRR0o6EBvsBi83B9FxyIotT/ZD79AEqpr4gJuICAC6+jWobRvEsiQ/riijWXFR2SEh3B3HyzvZPoZomlhoJ5uWU9IBO7kUmXHcnI1MSyGXITvZD4U1PRjkpqhEZKPq24fQ2T+G5cmczU7zKyPaGw5KGXJLuSkqEREwtaJMgqn2H0SzlZXgi96hcdS1DYmOQmQRWGgnmzWp1eN4eScyYr2hspeLjkNWaFXq1KaoOdwUlYhsVG6pGnZyKRbH+oiOQlbOTiHDkjhfnKzqwtiETnQcIiKhjEYjjpaqERviBg8Xe9FxyIKlR3tDIZeyfQzRNLHQTjaroKYbYxM6rEhm2xiaH/6ejogNdsOhIm6KSkS2R6sz4MS3D7QdlHygTfNvRbI/JrUGnKzsEh2FiEiouvYhdA2MYVkSV5TR3Dgo5UiN9EReZSf0BoPoOERmj4V2slm5xR3wdLFHXKi76ChkxVanB6B7YBwV7BlLRDamqLYHmgkdlvMmnxZIZKAL/D1VOFzMlWREZNuOlqqh4IoyMpGlCb4Y0mh5T0s0DSy0k03qHRxHeWM/spP9IOXGMDSPFsV4w8lBgYOF7aKjEBEtqCOlarg52SEh1EN0FLIREokEK1MCUNs2iPaeUdFxiIiE0OkNOFHRifRoL64oI5NIifSEg1LG9jFE08BCO9mkI6UdMALIZtsYmmcKuQzLk/xwqrobg6OTouMQES2IodFJlNT3YlmiH6RSPtCmhbM8yQ8yqQSHi/mAm4hsU2FND0bHdViexHtdMg2FXIaMGG8UVHdDq9OLjkNk1lhoJ5tjNBqRW6JGXIgbvN0cRMchG7A6bWpT1FxuikpENuJ4eSf0BiPbxtCCc3G0Q1qUF3JL1NDp2UuWiGxPTkkH3J2VSArnijIynaUJvhib0KO4rld0FCKzxkI72ZzqlgF0DYxxNjstGH9PR8QEu+FQITdFJSLbkFvagVA/ZwR6O4mOQjZoZWoARsa0KKzpER2FiGhB9Q9PoKS+F8uTuKKMTCs+1B0uKgWOsX0M0UWx0E42J6ekA/Z2Mm4MQwtqTVoAugbGUMkNZIjIyrV2jaC5c4Sz2UmYpHAPuDsrcYjtY4jIxhwp7YDRCKxI4aQyMi2ZVIrMeF8U1fZgdFwrOg6R2WKhnWzK+KQOJyu7kRnvA6WdTHQcsiGLYr3haC/npqhEZPVySzsgk0qwNMFXdBSyUVKpBCuS/VFW34e+oXHRcYiIFoTRaEROcQdigt3g664SHYesUHayP3R6IzdFJboIFtrJpuRVdmFCq8eK5ADRUcjGKOQyZCf7o6C6G0PcFJWIrJRWZ0BuiRppUV5wUdmJjkM2bEWKP4wAcoq5PwoR2Yaa1kF09o9hJWez0zwJ9XNGsI8Tx1aii2ChnWxKbnEH/DxUiAx0ER2FbNCq1G83RS3lhQkRWafC2h6MjGmxKo0PtEksbzcHJIS543BxB/dHISKbkFPcASVbpNI8y072R6N6GK3dI6KjEJklFtrJZnT2a1DdOojsZD9IJNwYhhZegJcjYoJccZCbohKRlTpU1A5PFyUSwzxERyHCypQA9A6No6KR+6MQkXUbn9Qhr7ILmXFskUrzKyvRFzKpBLklnDxGdD4stJPNyC3pgEQCLE/iUjoSZ3V6ILr6x1DFTVGJyMr0DIyhvKEPK1ICIJXygTaJlxHjNbU/ShH3RyEi63a6RerKFK4oo/nlorJDapQXjpaqodMbRMchMjsstJNNMBiMyC1RIznCE+7OStFxyIYtPr0pKm/6icjKHP62X+eKZD7QJvNwen+UU9XdGBiZEB2HiGje5LBFKi2g7GQ/DGm0KK3vEx2FyOyw0E42oayxD/3DE7z5J+EUchmWJ/kjv6obQxpuikpE1kGvNyCnpANJEZ7wdLUXHYfojDXpgdAbjDjMB9xEZKXUfRrUtA5iZYo/W6TSgkiO8ISLSoEcto8hOgcL7WQTcoo74OSgQFq0l+goRFiVNrUp6pEStegoREQmUVDVhf7hCaxK5QNtMi9+HiokhLnjYFE7DAbuj0JE1udwUTukEgmWJfmJjkI2Qi6TYlmSH4pqezh5jOjfsNBOVm9kTItTNd3ISvSFXMY/eRIv0MsR0UGuOFjYBiM3RSUiK/DNsSa4qBRIjeIDbTI/a9MD0Tc0gaK6HtFRiIhMSqubWlGWFu0FNye2SKWFk53sD73BiONlnaKjEJkVVh3J6h0rU0OnN7JtDJmV1WkB6OwfQ2XzgOgoRERzMjAygbyKTmQn+/OBNpmlqQKUHfYXtImOQkRkUgXV3RjWaLEmnZug0sIK8nZCmJ8z28cQ/RveDZHVyynpQKivM0J8nUVHITpjcazP1KaohbzpJyLLllvSAYPBiFWpvMkn8ySTSrE6LRClDX3o6teIjkNEZDIHTrXB280eCWEeoqOQDVqR4o+WrhE0qYdFRyEyGyy0k1VrUg+juXMEK1I4m53Mi51ChmVJfiio5qaoRGS5DEYjDhd1ICnSE74eKtFxiC5oVWoApBIJDhRyU1Qisg7tPaOoahnAmrRASLkJKgmQleALO7kU+09x8hjRaSy0k1XLKemAXCbF0gRf0VGIzrE6NQA6PTdFJSLLVdbQh66BMVyZFSY6CtFFuTsrkR7jhZziDmh1etFxiIjm7EBhG2RSCbI5qYwEUdkrkJXoi2PlamjGtaLjEJkFFtrJaml1BhwrUyMjxgtODgrRcYjOEejthKggVxwsauemqERkkfblt8LF0Q7LU9g2hszf2vRAjIxpkVfZJToKEdGcTGj1OFKixuI4H7io7ETHIRu2Nj0Ik1oDcks5eYwIYKGdrFhhbQ9Gx3VsG0NmbXVqADr7NKhu4aaoRGRZugfGUFzXi9WpAVDIeUlJ5i8+1B2+HioucScii5dX0QXNhA5r0vigm8QK9XNGRIALDpxq4+QxIrDQTlbscHE7PFyUSAjlxjBkvpbE+UCllLNnLBFZnP2n2iCRSLAmPVB0FKJpkUgkWJseiLq2ITSqh0THISKatQOFbfD3VCEm2E10FCKsTQ9ER68Glc2cPEbEQjtZpb6hcZTV9yE7yR9SKTeGIfNlp5BheZIf8qu6MMxNUYnIQkxq9Thc1I70GC+4OytFxyGathXJ/lDaybA7r0V0FCKiWWlSD6O+fQhr0gIh4SaoZAYy433gaC/H/oJW0VGIhGOhnazSkVI1jAA3hjEBrZabmsy3VWnfborKvnZEZCFOVHRhdFyHdRlBoqNYLY6/80NlL8eqlACcqOhC//CE6DhERDN2sLANCrkUy5P9REexGBxT55dCLsPK1AAUVPdwbCWbJxcdgMjUjEYjcoo7EBfiBh83B9FxFkxu7mG8+ebfIJPJAAA//vF9WLRoyTmv27PnG/zmN0/hgw+2w98/AFqtFr/85S/Q398PFxcX/P73f4BCMbV57AcfbENISCiyspaf833eeOOvGBwcwCOPPPadj2/Zcg1+97tn4O29FG+88Vd8/vmnCAgIBGCE0QjcccddWLYsGx0d7di69XokJiZDr9djfHwMgYHBuO22HyIxMcn0vyAzFuTthKhAVxwsbMf6JcGcmUJEZm9fQSsCvBwRF8Il6+Y2/sbFJXD8vYTLFwdhT34L9hW04sbVkaLjEBFNm2Zci6Nlnd/OIFaIjmNyHFMt15q0AHx9vBmHitpx3Ypw0XGIhGGhnaxOdcsAugbGcO2KMNFRFkxHRzueeeZ3eO21fyAgIBBqdQceeug+vPrqG3B3/78e9WVlpfj004+QlJR85mN5ecfh6emNp59+Ds888zucOHEM2dkrkZd3DBrN6HkvSGZi9eq1Zy5camqqcP/9P8aHH24HACiVSrz66htnXltQcBK/+tXjeOyxp7BkydI5/VxLszotAG/sqEBV8wDiQt1FxyEiuqD69iE0qofx/StibP7BYGtrK8dfC+Tt5oCMaG8cONWGTcvCoLSTiY5ERDQth4s7MKHV4/JFwaKjmNzF7mm9vZ3PvI5jqnnycVchKcIDBwvbsHFZKOQyNtAg28S/fLI6OcUdsLeTYVGsj+goC6aqqgJhYeHfPmUH/Pz8kZKShv379555TWenGv/zP7/Fk0/+GjLZ/z1jUyjkGBsbBQBMTk7Czs4ObW2t2LNnF+644y6T5oyOjoWzszPU6vO3SMnIWIwHHngIr7zyJ5P+XEuwJG6qr93efPa1IyLztje/FfZ2U/tL2LqysjKOvxbqiiXBGB3X4Uhph+goRETTojcYsOdkK2KC3RDq53zpL7AwvKe1fOvSgzAwMomi2h7RUYiE4Yx2siqacR3yqrqQleAHpcJ2ZifFxMShvr4OtbU1iIqKRmNjA/Lz8+DmNrWkf2xsDE899SgefvjRMxcupy1evBQ5OYdw//33IDo6FgkJiXjmmd9j2bJs3Hff3QgLC8fPfvb4meV7Zzt06ADq6+u+87G+vt7zZjQajdi9+xvodDqEhoahv7/vvK9LS1uE2trHMDExDqXSfja/Dotkp5BhdVogdh5vQs/gGLxcbaftERFZjiHNJPIqO7EqNQAOSl5GJiQkcPy1UNFBrgj3d8auk61YnR4IqY2vziAi81dY04PeoXHcclm06Cjzgve0li8l0hOeLvbYc7LVpiY+Ep2Nd0hkVY6VqzGpNWB1WoDoKAsqICAQv/717/Hyyy9Ap9MiOjoGmZlZcHR0gtFoxG9/+1/YtOl6ZGQsPudrJRIJHn74UQBTFw5PP/1b3HPPvXj88Z/ijTfexquvvoScnENYvXrtOV+7atWa8/azO9vpCxe9Xg9//wC88MIrsLe/8MWG0WiARCKBVGo7D0pOW5cRiK+PN2NfQRtuXhslOg4R0TkOFrZDpzdiLTdBBQAEBwdz/LVQEokEVywJxuufl6O4rhdpUV6iIxERXdTuvBZ4udojPdo63694T2v5pFIJLl8chPf31aJRPYQwPxfRkYgWHAvtZDWMRiMOnGpHqK8zwv1t7w198eJMLF6ceebfDz98P7KystHV1YmSkkI0NTXg/fffATC15O4nP7kXmzffhFtuue3M17z55t+wfv1VcHR0hLOzC5RKJSIiotDS0jTrXOe7cLmYgoJ8REfHntm8xpZ4uNgjI9YbhwrbcV12OHvGEpFZ0eoM2JffiqRwDwR6OYqOYzY4/lquxbE++NC5DrvzWlhoJyKz1qQeRnXrILaui4JUar0rcC40pqrVao6pFmJVagA+z23ANyda8B/XJoqOQ7TgWGgnq1HfMYTW7hH8YEOs6CgLrr+/H2+//SbuvvteODg44NSpfPT29mDFilWQyWT48ss933n9Aw/8GE8++Wv4+//fzP/9+/fA2dkFixdnQqfTYWCgH3q9Hh0d7QgPj1yQ48jLO4ZXX30JTzzxqwX5eebo8kVBOFnZhaNlaqxJD7z0FxARLZBj5WoMjk7i7swQ0VHMRl9fH15++WWOvxZKLpPi8kVB+PBAHZo7hxHia309j4nIOuw+2QKlnQwrU6x35fbF7mn9/Nw4ploIB6Ucq1MDsSuvBVtWR8LT1XZa5xABLLSTFTlY2A6lQoalCb6ioyw4Nzc3ODo64a67boO9vQPc3Nzw+9//4bw96M6ntbUFhYUFZ5bbyeVybNmyFffccwc8PDxw550/npfcExMTuPfeu2A0GjE5OYmQkFA8/fQfER1tew9LTosOckWorzP25LdidVoAJOwZS0RmwGg0YldeC4K8nZAQ5i46jtlwd3fn+GvhVqUF4PPcRnx9vBk/5sw7IjJDgyMTOF7eiTXpgVDZW28Jh/e01uPyxUHYfbIFu0+2WO2eAkQXIjEajRf8ZHf38IU/OQPe3s7o7h42xbeyOLZ87MDCHb9mXIdHXslBVoIffnhV3Lz/vOmylP9/g8EAg8EAudx0F26WcuzzZS7Hn1vSgTd2VOCnt6QhMczDxMnmH//vTX/83t7Oc3riYqrxfKZs8W/BWo+5tL4Xz39QhLs2xiM72f+cz1vrcV/KXI97PsbfhWBt/98f7KvFN3nN+O8fZ8HXXXXe11jbMU8Xj9vk39fsxnNb/T+eT6b+nX52uB5f5DZOvUd5nP89ytpN53dqqWOqKPN97r/+RRlO1fTgufuWQ2VvGy10+H5qeub8O73QmC5d6CBE8+Fo2dQmqGvSrXcp3XySSqW8IDEjmfE+cFYpsPdkq+goREQAgG9ONMPVyc4mV43NJ46/5mFDZjBkUim+Ojr7/r1ERPNBq9Nj/6k2pEZ52WyRfbo4ppqXDUtCMDGpx8GidtFRiBYUC+1k8YxGIw4WtiHUz5m7WpNVUMhlWJMWiKLaHnT1a0THISIb19I1grLGfly+KAhyGS8dyfq4OimxOjUAR0rV6B0cFx2HiOiMo2WdGNZocfniINFRiGYk1M8Z8aHu2HOyFTq9QXQcogXDuyWyePXtQ2jtHsXqNM5mJ+uxJj0QUqkEe/I5q52IxNp1ohl2CilWp3GDZrJeVy6d2uR353HOaici82AwGLHzWBNCfacKlkSWZkNmCPqHJ5BX0SU6CtGCYaGdLN7BwnYo7WRYGs/l7GQ93J2VWBLvg8PFHRgd14qOQ0Q2qn94AsfKO7EyOQBODrbRX5Nsk6erPbKT/XCoqAMDIxOi4xAR4WRVFzr7x7BxWSgkkjm19ycSIjnCAwFejvjmRDMutj8kkTVhoZ0smmZcixMVnViW4AsHJfuxkXW5MnOqr92+gjbRUYjIRu0raIXBYMQVS7hknazf1Vmh0BsM+OZEs+goRGTjjEYjdhxtgp+HChkx3qLjEM2KRCLBhsxgNHeNoLShT3QcogXBQjtZtNxSNSZ1Bi5nJ6sU4uuMpAgP7DnZgkmtXnQcIrIxmnEd9hW0ISPWGz7u3ICNrJ+PuwpZCb44cKodw5pJ0XGIyIaV1PehpWsEV2eFQirlbHayXMsS/eDposQXuY2c1U42gYV2slgGoxH78lsRGeiCUD9n0XGI5sXVS0MxrNEit6RDdBQisjH7CloxNqHDxmWhoqMQLZirl4VhUqvH7pPcI4WIxNlxtBEeLkpkJbI9Klk2uUyKq7JCUds2iMqmftFxiOYdC+1ksUrr+9DZP4bLFnE5O1mv2BA3hPu7YOfxZugN3K2diBbGxKQeu/JakBzhiTA/F9FxiBZMoJcjFsV6Y29+C0bGuEcKES286pYB1LQO4srMEMhlLNmQ5VuZ4g9XJzt8caRRdBSiecd3bbJYe/Nb4epkh8WxPqKjEM0biUSCq7NC0TM4jpOV3aLjEJGNOFjUjpExLTYt52x2sj3XrQjH+IQeXx1tEh2FiGzQjqNNcFYpsDI1QHQUIpNQyGW4amkoKpsHUNM6IDoO0bxioZ0skrpPg5L6XqxNC+RTfrJ66TFe8PNQYeexJva1I6J5p9UZ8PXxJsSFuCE6yE10HKIFF+jthOVJfthb0Iq+oXHRcYjIhjSph1FS34v1S4KhVMhExyEymdVpAXBWKfBFbqPoKETzihVKskh781shk0qwOp2boJL1k0okuHJpCJq7RlDWyN3aiWh+5ZZ0YGBkEhuXh4mOQiTMdSvCYTAY8TkLAkS0gHYcbYSDUoa16WyPStZFqZBhQ2YIShv6UN8+JDoO0bxhoZ0sztiEDrklHciM94Gro53oOEQLYlmiH9yc7LDzWLPoKERkxXR6A7461oSIABckhLqLjkMkjJebA9amByKnuAPqPo3oOERkA5o7h3GyqhuXLQqCyl4uOg6Rya1ND4SjvRxfslc7WTEW2sni5JZ0YHxSj8sWBYuOQrRgFHIprlgSjIqmftS1D4qOQ0RW6nh5J3oGx7FpWRgkEonoOERCbVoeBoVcik8P1YuOQkQ24LPDDVAp5bgyM0R0FKJ54aCU44olwSis7UFz57DoOETzgoV2sigGoxF7C9oQEeCCiAAX0XGIFtSatEA4OSiw/XCD6ChEZIUMBiO+OtaEYB8npEZ5io5DJJyLox3WLwlGXmUXarl5GxHNo7r2QRTW9mDD0hCo7BWi4xDNm8sXBcFBKcf2HN7TknVioZ0sSllDHzr7NLhsEXvWke1xUMpx1dKpvna1rZzVTkSmdaKyEx29GmxcFsrZ7ETf2pAZAkd7Of73qwrRUYjIin12qB5ODgpczvtcsnIqewWuzAzGqZoe9monq8RCO1mU3Sdb4OpohyVxPqKjEAmxLiMIzioFPsvhMnYiMh2d3oDPDjcgyNsJiznGEp2hspdj47IwFFR1oYIbkhPRPKhq7kdZYz+uzgqFg5K92cn6Xb44GM4qBT49VCc6CpHJsdBOFqOlawSl9X1YlxEIuYx/umSblHYyXJ0VivLGflS3cBk7EZnGkVI1uvrHcMOqcEg5m53oO9ZlBMLH3QHb9tZCbzCIjkNEVsRoNOLTQ/VwdbLDuoxA0XGIFoSDUo6NWaEoa+xHRVO/6DhEJsVqJVmMncdbTvotAAAgAElEQVSaoLSTYR2X05GNW5MeCFdHO3x2mLPaiWjutDoDPs9tQESAC9KivETHITI7dgoZ7rwmCa3dIzhU1CE6DhFZkbKGPlS3DuKa5WGwU8hExyFaMGszAuHurMQnh+pgNBpFxyEyGRbaySJ0D4zhREUX1qQFwJGbw5CNUyqmZrVXNg9wBgARzdmBwjb0DU1g86oI9mYnuoDlKf6IC3HDp4fqMTquFR2HiKyA0WjEJ4fq4elij5UpAaLjEC0ohVyGa7PDUNc2hKK6XtFxiEyGhXayCN+caIZEAqxfEiI6CpFZWJ0WADcnO2w/XM8ZAEQ0axOTeuw40oi4EDckhHmIjkNktiQSCW69PAaj41psP9wgOg4RWYH8qm40qodxbXYYFHKWZsj2ZCf7w8fdAZ8eqoeB97RkJfhuTmZvaHQSh4s7sCzJD+7OStFxiMyCnUKGjcvCUN06iHLOaieiWdqT34IhjRabV0eKjkJk9oJ9nLAmLRD7CtrQ1j0iOg4RWTCtzoAPD9Qi0NsRy5P9RMchEkIuk+L6FeFo6RrBycou0XGITIKFdjJ7e/JboNMZcNVSzmYnOtuq1AB4uCjx8YE6zgAgohnTjGux81gzUiI9ERXoKjoOkUW4fmU47O1keG9vDVeUEdGs7c1vRffAOLaui4JMyrIM2a7MBF8EeTvi00P10Om54ThZPr6jk1kbm9BhX34bMmK84e/pKDoOkVlRyKXYvCoCjephnCjvFB2HiCzMzuPN0EzosHlVhOgoRBbDWWWH61eGo6yxH4U1PaLjEJEFGtZM4osjjUiJ9ERSuKfoOERCSSUS3Lg6Ep39Yzhwqk10HKI5Y6GdzNrBwnZoJnS4KitUdBQis5SV6IdQX2d8fLAOk1q96DhEZCF6B8exK68FSxN8EeLrLDoOkUVZkx6IAC9HbNtbgwmOvUQ0Q5/nNGJiUo+b1kaJjkJkFlIiPZEQ5o7tOQ3ccJwsHgvtZLa0OgN25TUjLsQNEQEuouMQmSWpRIKb10Whd2gCe/JbRcchIgvx8cE6AMAW9mYnmjG5TIrb18egZ3Acn+dwY1Qimr6O3lHsP9WG1ekBCPTiim0iYGrD8ZvXRkEzrsMXuY2i4xDNCQvtZLZySjowMDKJq5dxNjvRxcSHuiMtygs7jjZiSDMpOg4Rmbm69kEcK+/E+iXB8HS1Fx2HyCLFhrhjVao/vjnRgubOYdFxiMhCfLCvFko7Ka5bES46CpFZCfF1xooUf+zNb0VXv0Z0HKJZY6GdzJJWZ8CXRxoRFeiKxDAP0XGIzN5NayMxMWngzDoiuiij0Yj39tbA1dEOV7MtG9Gc3LQ2Ck4qBd7aWQmDgRujEtHFlTX2oaiuF5uWh8FFZSc6DpHZuWFVBOQyKT48UCc6CtGssdBOZulQUTv6hydw3cpwSCQS0XGIzJ6/pyNWpwfgwKl2dPSOio5DRGbqREUX6tqGcMOqCDgo5aLjEFk0R3sFbr0sGo3qYexl+zYiugid3oBte2rg5WqPyxcFiY5DZJbcnJS4KisE+VXdqG4ZEB2HaFZYaCezM6nVY8fRRsQEuSIh1F10HCKLcV12OOwUUny4nzMAiOhck1o9PjpQixAfJ6xI9hcdh8gqZMb7IDnCE58cqkfv4LjoOERkpnbltaC9ZxTfuyIGCrlMdBwis7UhMwTuzkq8t7cGBiNXi5HlYaGdzM6BU20YGJnEdSsjOJudaAZcHO2wcVkoCmt7UFLfKzoOEZmZXXkt6B2awNbLoiGVcnwlMgWJRILb18fACCPe3lUFI4sCRPRvegbH8HluA9KjvZAW5SU6DpFZUypk2LwqAo3qYRwtVYuOQzRjLLSTWdGM6/Dl0SYkhLkjnrPZiWZs/ZIQ+Hmo8PauKkxq9aLjEJGZ6B+ewI5jTUiP9uL4SmRiXm4OuH5FBIrqenG8vFN0HCIyM9v21AAAvnd5jOAkRJZhWZIfIgNc8MH+WoyOa0XHIZoRFtrJrHx9ohkjY1psWRMpOgqRRVLIpbh9fQy6B8bx1bEm0XGIyEy8u7saBoMRWy+LFh2FyCpdsSQIkQEueGd3NfqHJ0THISIzUVjTg1M1PbguOxyervai4xBZBKlEgtvWx2JkTItPDtaLjkM0Iyy0k9kYHJnArrxmZMb7IMzPRXQcIosVH+aBrARffHWsCZ19GtFxiEiwUzXdyK/uxrXZYfBxcxAdh8gqyaRS3L0pAVq9AW/urGALGSLChFaPd3ZXI8DLEVcsCRYdh8iihPo547KMIBw41YaGjiHRcYimjYV2Mhvbcxqg1xtxw6oI0VGILN7N66KgkEvx9u5q3uwT2bDxSR3e2V2NQG9HbMgMER2HyKr5eqhw05oolNb34WBhu+g4RCTYl0ca0Ts0jtvXx0AuY+mFaKZuWBUBFyc7/OubKhgMvKcly8B3ezILLV0jOFjUjjXpgfB1V4mOQ2Tx3JyUuGFlBMoa+pBX2SU6DhEJ8tnhBvQNTeCODXG8ySdaAGszApEQ5o7399Wiq5+ryohsVWvXCL4+3ozlSX6IDeHeKESz4aCU45Z10WhSD+NAYZvoOETTwjsuEs5oNOK9vTVQKeW4bkW46DhEVmNdRhBCfJ2wbW8NxiZ0ouMQ0QJrUg9j98kWrEkLQFSQq+g4RDZBKpHgzqvjIZVK8MaOCs7AI7JBOr0Bb+yogMpejq3rokTHIbJomfE+iA91x8cH6zE4Oik6DtElsdBOwhXW9KCiqR/Xr4yAk4NCdBwiqyGVSvCDDXEYGpnERwfqRMchogVkMBjxz68r4ayyw43cYJxoQXm42OP7V0SjpnUQ35xoFh2HiBbYJ/tr0dQ5jNvXx8JZZSc6DpFFk0gkuG19DCa1ery/r0Z0HKJLYqGdhJrU6vHevhr4e6qwOi1AdBwiqxMR4IIrlgRj/6k2lDf2iY5DRAtkz8kWNKqHcetl0XC050NsooW2LNEPi2O98cmhetS3cxM3IlvR2j2CbbsqsSTOB4vjfETHIbIK/p6O2LgsFMfKOnGqplt0HKKLYqGdhPrqWBO6B8bx/Su4QQzRfNm8KgK+Hiq8+VUFW8gQ2YDW7hF8dLAeaVFeyIznTT6RCBKJBD+8Kg5uTkq8tr0UmnGt6EhENM/0BgP+saMCKnsFvr8+RnQcIquyaXkYgn2c8M+vqzAyxjGVzBcrmyRMZ78GXx1rRma8DxLCPETHIbJadgoZ7t4Yj77hCS63I7JyWp0Br39eDpVShh9eFQeJRCI6EpHNUtkr8J/XJaJ/eAJv7ayE0ch+7UTW7OvjzWhUD+PeG1PgwpYxRCYll0lx18Z4jI5p8fauKtFxiC6IhXYSwmg04p3d1ZDLJNi6Llp0HCKrFxnoiiuXhuBQUQeK63pFxyGiefLp4Xq0do/gR1fHw8WRN/lEokUGumLzqgicrOrGgVNtouMQ0Txp6xnF9pwGLI71xorUQNFxiKxSiK8zrs0Ow4mKLpys7BIdh+i8WGgnIY6Xd6K0vg83rIyAu7NSdBwim3D9iggEejnirZ0VGOUSdiKrU9HUj2+ON2NNeiBSo7xExyGib21YGoKkcA9s21uL5s5h0XGIyMS0OgP+9nkZ7O3kuG19rOg4RFbt6mWhCPVzxr++qcLQ6KToOETnYKGdFtzQ6CTe3VODyAAXXLYoSHQcIpuhkEtx16Z4DI1q8e7uatFxiMiENONavLGjHD7uDti6Nkp0HCI6i1Qiwd2bEuDoIMdr28u4XwqRlfn4YB2au0ZwJ1eTEc07mVSKuzfGY3xSh//dVcW2bGR2WGinBffO7mqMT+rww6vjIZWydyzRQgrzc8Gm5aE4WtaJnOIO0XGIyASMRiP+d1c1BoYn8eNrE6G0k4mORET/xsXRDv9xTSK6+sfw9y/LYWBhgMgqlNb3YldeC9ZlBCItmqvJiBZCoLcTblgZgfyqbhzmPS2ZGRbaaUGdrOxCXmUXrskOR6CXo+g4RDbp2uxwxIW44e1dVWjrHhEdh4jm6MCpNhwv78R1K8MR7u8iOg4RXUBcqDtuXhuJUzU9+PJIo+g4RDRHQ6OT+PuOCgR6OeJmriYjWlAbMkOQEOaOd3ZXo6WL97RkPlhopwXTPzyBf35diXB/Z1y1NER0HCKbJZVK8ONrE2FvJ8Or28swMakXHYmIZqmufRDv7qlBSqQnNi4LFR2HiC7hiiXBWJboi+2HG1BY2yM6DhHNktFoxD++qoBmXIf/uDYRdgquJiNaSFKpBPdckwiVvRx/+bSEbdnIbLDQTgvC8O2FiFZnwD3XJEIu458ekUhuTkrcc20iOnpG8fbuKtFxiGgWBkcn8epnpXB3VuLuTQmQStiOjcjcSSQS3HFlHEJ8nfG3L8rQ0TsqOhIRzcLe/FYU1/Vi67ooBPk4iY5DZJNcHe3wn9cmomtgDP/8upL92skssNpJC2LPyVaUNfRh67oo+HmoRMchIgCJYR64JjsMuSVq9msnsjBanQGvfFKCEY0W99+QDCcHhehIRDRNdgoZHticDJlUij9/wll4RJamrn0QH+yvRUqkJ9ZlBIqOQ2TTYkPcsXlVBE5UdGH/qTbRcYhYaKf5V9c+iA/31yItygtr0nkhQmROzu7Xzt52RJbBaDTin19XorZtEHdvSkCon7PoSEQ0Q56u9rjv+iR09o3h1e2l0BsMoiMR0TQMjk7iL5+Wws1pajWZhKvJiIS7KisUKZGeeG9vDRo6hkTHIRvHQjvNq2HNJF77bOpC5K5N8bwQITIzp/u1q+zleOmjIgyOTIiORESX8MWRRhwpVeP6FeFYHOcjOg4RzVJcqDtu3xCD0vo+vL2rmkveicycTm/Aa5+VYmRMiwc2czUZkbmQSiS4e1MCXB3t8OdPStA/zHtaEoeFdpo3BoMRz79bgIGRSdx7fRIc7XkhQmSO3JyU+MmWVAyPafHyJyWY1HJzVCJzdbCwDZ8dbsDyJD9ckx0mOg4RzdHqtEBsXBaKg4Xt+OpYk+g4RHQRHx2oQ1XLAH747T4LRGQ+nBwUePDGFGgmdPjTh0Vsy0bCsNBO8+bTw/U4WdGJWy+PRkSAi+g4RHQRoX7O+PE1iWhoH8IbOypg4Kw6IrNTUN2Nf31ThaQID/zwqjiuEiOyEjesikBWgi8+PliPY2Vq0XGI6DyOlamxK68Fly8KwrIkP9FxiOg8Qnydcd/1SWjtHsVfPy9jWzYSgoV2mhcnKjqx42gTNmSFYi37shNZhIwYb2xZE4m8yi58ntMgOg4RnaW0vhevbS9FmJ8L7rs+CXIZL+GIrIVUIsGPro5HbLAb/vFVBaqa+0VHIqKzNHcO462dlYgJcsXN66JExyGii0iO8MT318eguK4X2/bUsC0bLTjepZHJ1bYO4o0dFYgKcsV/3JDCGXdEFuTKpSFYkeyPz3MbcbSUs+qIzEFlUz9e/qQEAZ6OeGRrKuzt5KIjEZGJKeRSPHBjMrzdHPDSxyVoUg+LjkREAHoHx/HCh0VwdFDgXj7oJrIIa9MDcWVmCPYVtGF3XovoOGRjOEqQSXX0juJPHxXBw1mJBzcnQyGf2Z+YwWBAcXEhXnzxj9iwYTUqK8vnKSmRdTD1OSORSPCDK2MRFzI1q664rtdESYloNopqe/DCh0XwcrXHI7ekmWS/E461RPNjrueWo70Cj9ycBpVShufeL0Rbz+g8JSWi6dCMa/Hih0WY1Brw8M2pcHVSztvP4thMZFpb1kZiUYw33t9Xi6Nsy0YLiFOiyGT6hyfwwgdFkEolePjmVDir7L7z+e7uLjz//LPo7u7C+Pg4brzxZtxww5bvvGZiYgIfffQ+MjOzYG9vf8GfZTAY8Itf/BQazSj+/OfX5+V4iEQzxTlz+PAB/PGPTyMgIOjMxzZuvBabNl13wZ8rl0nxwOYUPLutAH/5tAQ/vSUN0UFupjswIpqWI6Ud+MeOSgT7OuHhm1Ph8m/j6vnM9X1Do9Hgpz998Dsf6+vrhYODCm+99e7cD4rIQnV2duLJJ385pzG5tLQYr7zyIgwGI/R6PW699TZcdtn677zG09UeP7s1Hf/zTgH+uO0UfvH9DPh6qOb12IjoXFqdAX/+pATqPg0e2ZoGJTR4/PFfX/Q9AABycg7i7bffxOSkDvb29vjZzx5HREQkAGBsbAwvvvgH1NfXQiKRws/PH4888hjc3NymfR9MZM6mcx0KTJ0nb731BgwGwznnyWmXqvkUFZ3CQw/dh+eeexkZGYvP+bxUIsE91yTgxQ+L8MaXFVAqZMiI8TbdwRJdAAvtZBJDmkn88b1TGB7T4tFb0+Hjfu4NwRNP/AwbNlyNLVtuwdDQIP7zP+9EcHAIFi/OPPMaBwcH/Pa3TwMA3nrr7xf8ea+88iICA4NQU1Nl+oMhMhOmOGfUajU2bboe99xz74x+tspejkduTsPT7xTgxQ+L8PBNaYgKcp3bARHRtO3Oa8G2vTWID3XHA5uT4aCc3iXbXN83VCoVXn31jTP/NhqNuPfeu3D77T8ywVERWa77778fl122YdbnlkajwRNP/BzPPPM84uMTMTg4gIceug+hoeGIior+zmt93VX42S3peOadAvzhvaliu5erw/wfJBEBmBr73txZgcrmAdxzTQLiQ91xzz0/uOT4WlNTjWef/W988MH7sLd3Q27uYTz22CPYtu1jyOVyvPDCs/Dy8sbjj/8SAPDXv76CV155EU8++etp3wcTmbPpXIeePk9ee+0fCAgIPOc8Oe1iNZ+2tla89NLzyMpaftE8dgoZHrwxBc+9X4jXtpfivuuTkRbtZboDJjoPto6hORsZ0+L59wrROziOh7akINzf5ZzX1NRUobOzEzfccBMAwMXFFVu23ILt2z+Z8c/74ovPoFZ34Oabb51zdiJzZapzRq3ugL9/wKwyuDja4ee3pMHFUYnn3i9ERWPfrL4PEU2f0WjEJ4fqsG1vDRbFeOOhm1KmXWQ35Vh72tdf74Crqyuys1fO+nsQWbqamip0dHTM6dxqbm6CUmmP+PhEAICrqxtWrlyDXbu+Ou/rA70c8bNb0jA+occftxWib2h87gdCRJdkNBrx0cE6HCvrxOZVEViW6Dft8fWrr77A+vVXITg4GACQnb0Sbm6uyMs7BgC44YYtuOOOO8+8Pjo6Fi0tzQt0ZETza6bnSUBAIIBzzxPg4jWf0dER/Nd//QI//eljcHJyvmQuB6UcD9+ciiBvJ7zyaQmOl3fO5TCJLomFdpqTodFJ/GHbKbT3juKBzcmIDXE/7+uam5sQEhIKmUx25mNhYeFobm6a0c8rKDiJzz//FE899ds55SYyd6Y6Zzo71WhoqMOjjz6Me++9E3/603MYHR2Z9td7uNjjF99Lh5erPV78qJg924nm0fikDq9+VoovjzRhVao/7r0+CQq57NJf+C1TvW+cptVq8Y9/vI577rlvVl9PZC2am5sQHh4+p3MrJCQUY2Ma5OUdBzC1vP7w4QPo6Oi48Nf4OuPhrakY0kzi6bfzoe7TzP4giOiSjEYjPj3cgJ3HmrE2PRAbl4UCmP74OvVeEfGdj4WFRZx5XXx8IpTKqbYwNTXVeO21l7Fly9b5PCSiBWOq8+RiNR+9Xo9f/vIJ3HLL95GQkDTtbI72Cvz81nREBrjg9c/LcKiofSaHRjQjLLTTrPUPT+CZdwvQ2afB/7clBUkRnhd87dlLgE6TSCQz+nmtrS14/vln8bvfPQMHBy6fJetminMGAGJj4xAVFYNnnnkeL7/8OoxGA5599r9n9D1cnZR49Hvp8PdU4eWPi5Ff1T3jHER0cZ19Gvz+X/nIr+7GTWsjcceVcZBKZ3bOm+p947Qvv9yOqKjoc9paENkauVx+zrk003NLpVLhuedexocfbsN9992Nv/3tVWRlZcPJyemiXxcZ4IrHvpeBSZ0BT7+djyb18IzzE9GlnS6yf3mkEatSA/D99TFnzvPpjq9yueyS7xV6vR5vvfV3/PrXT+DnP38Cl1++wYRHQSSOKc6TS9V8Xn75ecTExGL9+qtmnM9BKcfDW9OQGOGBt3ZWYldey4y/B9F0sEc7zUpb9whe/LAII+M6PHxz6gVnsp8WHByKlpYm6PX6M084m5oaEBISOu2feejQfmg0o3j44fsBADqdDr29Pfje927EH//40pmlR0TWwBTnDIDv9FWWy+W45pob8Mgj9884j7PKDo/emo4XPijCq5+V4o4rY7EydXYtaYjou4pqe/D6F+WQSSV4ZGsaEsM8ZvV9TPW+AUwVHD744F089NDPZ5WFyJoEB4eioaFhzudWbGwcnn32xTP/fuaZ3yMsLPySXxfq54zHb1uE5947hWfeLcBPtqRc8tqbiKbvu0V2f/zgylhIzyoETnd8DQkJQ2Nj/Xc+1tjYgLVrLwMATE5O4qmnHkVoaDjefPNd2NldepNzIkthivPkUjWfPXu+gbOzCw4e3AcA6O3tQX5+HtauvRwPPvjwJTMqFTI8uDkFr39Rhvf21mB0TIvrVoZ/53wnmivOaKcZq2zqx9NvF0CnN+IX38uY1oV+REQkAgICz/Tn0mhG8fHHH+Daa6+f9s/93vd+gE8+2YF33/0Y7777Mf70p1cRH5+Id9/9mEV2sjqmOGcA4I03/ory8tIz/967dxeSk1NnlUllr8AjW9MQH+qGN3dW4uODdTAYjbP6XkQE6PQGfHKoHi99VAxvN3v88o7Fsy6yA6Z73wCmlu1qNKPIzMyadR4iaxEREYmgoKA5nVsTExN46aXn0N8/td9JQ0M98vNPYNOm66b19X4eKjx+2yJ4uNjjufeLUFDN1WVEpnBukT3unKLbdMfXjRuvxTff7ERraysA4OTJE+jv78OSJVNj6csvv4DExGTcf/9PWGQnqzPT86SjY6p9y9nnyaVqPl9+uQfbtn1y5vOrVq3FU0/9ZlpF9tMUcin+87pErEjxxxdHGvHaZ6WYmNSb7hdBNo8z2mnajEYj9hW04b29NfBxd8DDN6fCy3X6LVx+9av/xrPP/h5ffPEpjEbg+utvxJIlWfjXv/4BAPjBD+68xHcgsi2mOGcyM7Pwl7+8BI1mFHK5AqGhYXj00SdnnclBKcdPbkrFO7urseNoEzp6NbhrY/y0N2skointPaP425flaFIPY0WyP25bHwM7xfT7sV+Iqcba/fv3ICsre06tZ4isyfPPP4/HHnti1ueWUqlEcHAoHnzwP6BU2kOpVOI3v/lvODpevHXM2Txc7PGL72fghQ+K8MonJbh+VQQ2LQvleUo0SwaDEdv21GBvQesFi+ynTWd8DQsLx09+8jPce++9kMkUUCgU+J//ef5MS43t2z9GfHwijh07cub7ymQy/PnPr8//wRItgJmcJ7/4xSOws1Oec54sBJlUih9dFYcAT0d8eKAWXf35ePDGFHi62i9YBrJeEuNFZiN2dw+bZKqit7czurtts5+gtRz7hFaPt3dVIbdEjdRIT9xzTSJU9pd+I7SW458tWz5+Wz52wPqP32g0YndeCz7YXwdfDwc8sDkZ/p6OAKz/2C9lPo7f29t5TlUUU43nM2WLfwuXOmaD0Yi9+a346EAdlAoZ7rgyDotivRcw4fywxf9rgMdtS8zpmCe1erz1dSWOlXVicaw37twYD3u7+SlQmNNxL6T5Om5zHM9t9f94UqvH374oR351NzZkBuOmtVEmax9hq7/T+cTfqenxdzqluK4Xf/28FAqZFA9sTkFUkOusvxd/p6Znzr/TC43pnIJIl9TSNYLXtpdC3avBNcvD2MOKiCCRSLA+MwQhvs54bXspfvNWHraujcKadLZxIrqQzn4N/vV1FSqa+pES6YkfXRUHVyel6FhEZGHsFDLcsykBIT7O+PBALdR9GjxwYwp83Ka/0pTIlvUPT+DPnxSjsWMYt14WjSuWBIuORESCpER64snbF+Olj4vxzLsFuHF1JNZnBrPmRbPGQjtdkE5vwDcnmrE9pxGO9nL89JY0JMyhdywRWZ+4UHf86keZePOrCvzvrmoU1vbiZ7cvFh2LyKxodXp8dawZO442QS6T4AcbYrE6LYDtHoho1iQSCa5cGoIgH0f8dXsZ/v+38nDHlXFYHOcjOhqRWatvH8KfPynG2IQeD2xORnqM5a8qI6K5CfByxFM/WIy3dlbig/21KKnvxd2bEuDuzAkxNHMstNN51bcP4a2dlWjtHsHiWG/ctj4WLo7csIWIzuXurMTDN6di/6k2fLCvFg/8YR9uWx+LJbzZJ0JZQx/+d1cVuvrHkBnvg63ronnRTkQmkxTuif+6YzFe3V6Gv3xWimWJvvj+FTFQ2StERyMyK0ajEXvyW/HBvlq4OyvxxO1pCPaZ/h4JRGTdnBwUuP+GJBwu7sC7e6rxyzeO8wE2zQoL7fQd45M6fHqoAXvyW+DmpMSDfMpPRNMgkUiwLiMI8aHueOvrKrz6WSlyIz1xy2XR8PNQiY5HtODaukfw8cF6FNb2wNfdAT/dmobEcK4KIyLT83FX4cnbF2HH0SZ8kduIyuYB3LkxHolciUoEABjSTOJfX1ehoLobaVFeuHNjPJwc+DCKiL5LIpFgVWoAYoPd8PoXUw+wlyb4Yuu6KLix3SNNEwvtBGCqTczBwnZ8caQRQ6OTWJsRiC2rI+Gg5J8IEU2fv6cjnn1wJbbtrMDnuQ34r78fxxWLg3FNdhjfT8gmdPVp8I8vy3GkVA17pQybV0VgQ2YwFHKZ6GhEZMXkMimuWxGOlEhP/P3Lcjz3XiFWpwXgxtWRLCiSTTtV041/7qyEZkKHm9dGYUNmMFu3EdFF+Xqo8PhtUw+wdxxtQlFtD25YGYF1iwIhk0pFxyMzx6qHjTMYjThe3olPD9WjZ3AcscFuePDGZEQGzH6nZSKybXKZFFcuDcGyJD98fLAO35xoxpEyNa5bEY4Vyf5QyHlxQtanb2gcXx9vxoHCdgDA+sxgbFwWxgIXES2ocH8X/OqHS/Dp4ShH5cgAAB3USURBVHrszmvFycou3LAqAqtSAyCXcfwl29E/PIF391Qjv6obwT5O/6+9O4+P46zzPP7pbnWrpdZ9+ZAcS74e23FuJ+R0SALMLkcGWCaEY2EXlhAgMAsDc+0RYF7kxcwOzHIMA5kdJkCAYTmWIzAJkIGQhIATk8PEyeNTji1b1mXdUquP2j+qWm7Jlmylu6VW1/f9cr+q1dVdrt/zdNVT9aunnubDt15Cm4aKEZFzlLmAfeX5K/j6z/byzQf38cju47zl5ZvYtKZuqVdPipgS7T6VTKX57Z4T3L/zBbp6xzivpYoP3XIR53c06Aq/iORFbSzCO165hRsuaeWbD+7jaw9YfvToIf79S9ay4+LVlIfVw1eWv66+Me7/zWF+s+cEjgM3bl/DH2xvo7E2utSrJiI+FQmHeOONG7nmglV842d7ufene/nX37zAa65p5+ptK5Vwl5I2lUjxsyeO8OPHDpNKO7x+xzr+3UvO0/deRF6UFfWVfPCPLuJ3e3v5xs/38cmv/44L1zfy2us6aF9Zs9SrJ0VIiXafGZ1I8NBTXfx811GGRqdobYpx281buWLLCoJKsItIAXSsquEv3nIpzx0+yX2/7uSbD+7jvsc6ecXla7juwtX6oWVZdtKOw3OHT/LgE0d5an8fkXCQGy5p5RVXrGHLhhZ6e0eWehVFRGhrruIjb7qEZw8N8P1HDnHPvz7Pjx/r5NVXt3Pl1pW6w0xKSiKZ4tHd3dz3WCcDw3Eu3tDErTdtoKVevxUkIrkJBAJcZlrY1tHIz3cd4f7fvsDH73mCSzY28drr1umHlWUGJdp9wHEc9h0d4tHdx9n5XA/xRIrz2+t55yu3qAe7iCyKQCDA1vYGtrY3sPfIIPf9upPvPnSQ7z98iMtMM9dftJrNa+u1P5KiNjQa55Hdx/nV08foHZykqiLMzde0c9NlbVRX6oKRiBSfQCDAtnWNnN/RwO6D/fy/hw/xzz95nm//4gDXXriK6y9ezQolImUZm4gn+eWTXfz08SMMjU2xbnUN73r1Vsx59Uu9aiJSYsojIV51VTs3XtrGz544wgM7j3Dnl3eybV0DN13axg2NSriLEu0lrW9ogsd+382ju7vpGZygPBzi8i0tvHz7Gl1xE5Els2lNHR9648Uc6xvjoaeO8evfuxcBV9RXcOX5K9m+uYXWpthSr6YI4J7AP72/j53P9bD7YD+ptMPm8+p4/Y71XLqpWT1CRWRZCAQCXLi+iQvWNfJs5wAPPXmMn+50e+VtWVvP1dtWctGGJv2uhCwbx/rGeGT3cR566hgT8SRb2+u57TVb1XFDRAquoryMm6/p4KbL2njwiaP84qkuPvOdZ/iXf9vPjotWce0Fq9QJx8eUaC8x3QPj7LI97LK9dHa7t65vPq+O11zTzmWmmWhEVS4ixWF1U4w3vWwj/+H6deyyvTz09DF++MghfvDIIVY3xdhumrl0UzNrWqp0wiSLanwywe8PDfD4cz08c7CfRDJNfXU5L9++hh0Xr2Zlg3p/isjyFAgE2NbRyLaORgZH4zz8zHF+9dQx/unHzxEIwMbWWi7e2MyF6xtZ1ah9nRSXkfEpdj7Xw6O7j9PZPUIwEOCSTU288sq1dKzSWMkisrhi0TA3X9vBK69ay5P7+nh493G+/YsDfO+hg2xpr+eKzSu4ZFMTsaguYvtJwHGcOWf29o7MPXMBmpurfTteaaFjn0qk2Hd0iGcPDbD7YD9dfWOAOybydtPM9s0tNNdVFOz/P5sXG/8//MPn+NKX/r4AayRSmt797vfxnve8f6lXA8htv3dyJM7v9vbyxPM97D0yiAPUxCJsba/nfG/omfrq8vyucJ4VYr/f3Fyd05WGfLXnC7Vc2v+04/DCiRF2H+hn96EBDnYNk3YcamMRtpsWLt/Swoa22nP6LZPlEjOorRUplGJqk89F2nE43D3C0/v7eGpfHy/0jAJQVRFma0cj57XE2NBay5qWKirK/dFpp1D78mJsz4u53XIch67eMXYf7Gf3wX72HR0ilXZY01LFNdtW8pKtK6itKr7jwtllqvZW5OyWW9t5Js3N1Ty55ziPPdvN48/10Dc0SSgY4PyOBi5Y18jW9npWNlSqE9kCFHMbNVeb7o8jpRKSSKY4dHyEfUcHef6FQfYeGSSRTFMWCrCxrY7rL17NpZuaaaiJLvWqiogsWH11OTdd1sZNl7UxNBpn98EBnu0c4NlDA/zm2RMANNVGWd9ay7rVNaxf7Z74a/gOWYh4IkXn8WH2Hh1i/9Eh9ncNMRFPAtC+sppXXrWWbR0NbGitJRjUgbCIlLZgIEDHqho6VtXw2uvW0T80ybOdA+w/OsSh7hF27umefm9TbZS25ipam2O0NsVoqa+kpb5CQ85IXqTSabp6xzhwbJiDXUPsOXySkyNxANqaY7ziijW8ZMsKzltRvcRrKiJyZm3NVfzRSzfwhuvX09k9ws7nTrDL9vLMgX7APd/duraeTWvq6FhVw+qmmM43SowS7UUslU7T3T/OCz2jHO4e4UDXEJ3dI6TSbkeGVY2VXH/xarZ1NGLW1FEeCS3xGouI5E9tVTnXXriKay9cRdpxONozyp7Okxw8NsTeI4P8do+beA8GArTUV0yf9Lc2V7G6KcaK+grKQkrA+5njOAyOTnGkZ4QjPaPTj+6BcTI39LU2xbhiSwub2uo4v6OBmpjGUxQRf2usjbLjotXsuGg1zc3VHDzcz4GuYY70jtLVO8rR3jGeOdBPOuvO6Fi0jOa6ClrqK9zku/e8ua6C2qrIOd0RJP4yNpmgq3eMY31jdPWOcbR3lM7uEeKJFADVlWE2ranjgnWNbOtoUEcyEVlWAlkXsd9440Z6BifY0znAns6TPLW/j0d/717EjoSDtK+opt1Luq9ujLGqqVLDzSxjGjqmwM4l9vHJJCdOjtNzcoKek+OcODnB8f4xjvaOkUimASgLBWlfVc2G1lo2ttayvq2WmmXw4wp+rnvwd/x+jh38Hf9ixT4wPMnBY8O80DPqnaSN0jM4MZ1ADQUDNNZGaaqN0lRb4U7r3OeNNVFqYmFCwfwn4jV0zCmL8V1wHIfRiQQ9gxP0nJyg9+SE+3xwgu7+cUYnEtPvbayJsqalijUtVe4dEa21ee+F6ddtX3H7ix/j9mPMMHfciWSanpPj0/ve6enJcfqGJsk+xSwLBWioidJY47bJjbUzn9dXlxekPc6Fho7JzVQixehEguHxKfqH4vQPT9I/NDljmt0+l0dCtDbF6FhZw/rWGta11tJcG122wyv4dX9RSCrT/FOZ5t+5lmnacTgxME7n8REOHR/mUPcwR06MMuXl/8AdPrWl3juH9c5nM+e2DdVR39zRXczfUw0ds8jSjkN8KkXvyQkOd48wOBpnaGyKodE4g2NTDI1OMTgap+fkxIyDDHBvJVnZUMkNl7SydkU1a1ZUsbKhUj0zRUSyNNREaaiJsn1zy/RrU4kUx/vH3cR73xh9QxP0Dk7y5L5eRsZn7msDuL2laqvKqY1FqK2KUBsrp7oyTCwaJhYtI1YRpjJaNv13uCy4bE/6lhPHcZhKphmbSDA+mWRsMuG1oW7b6T7c5ydH4kxOpWZ8vr66nOa6Ci7d1MSalmrWtFTR1lxFZVSHPSIi+RAuC9LaXEVrc9Vp85KpNP3Dk5wYmKBvaGI6sdo3NMkzB/oZGpua8f5gIEB9dTkNNeXUVZVTWxVxp7EIddXl1MUiVFVGiEXLdD5UAI7jsL9riPHJJOm0Q9pxTk0dBycNqbRDKp0mnkgTT6SIT6Xcqfd8PJ5kdDzB6MQUIxMJphLp0/6fSDhIY417caVjVTXNde7diKubYjTWLN+kuojIQgUDAVY1xljVGOOqbSsBN4fYPzTJsb4xjvW7d/v0DU6y/+gQO/f0zLiLDNw7yTLnsTWxiHs+m/W8JhaZPo+NRkLaxy6ikj7jdBzHOyhwSKXcA4VUKn3qtel5aW+e+3cylSaRdB9TyZQ3TZP0ppnXk8k0k4kUE5NJJuJJxuMpJuIJxuMpJuNJ5upuEIuWTR9EXmaaaamvYIU3vmFzXQXlYQ0BIyLyYkTCIdaurGbtytPH7oxPpegbmqBvaJKB4UmGxqYYHJ1ieMxN2Hb1jTE8NjU9PNeZBLz/IxIOEinzpuEQ4bIgoUCAptoof/r2KwoYYfFIJFPs2tvLVCKN4zikHbfdTacdHMc9WKysjDAyGndP2NNu8nwqmWIq4bWviTRxbzqVTDE5lWJsMsn4ZIJk6sz1UBYKTLehq5tibG1voLk2SnN9BS11bjsaUTsqIrJkykJBVtRXsqK+8ozzE8kU/cPxrAS8m4wfGI7zQs8oQwdPv4CaUVEeci9+V4Sp8i6Il4dD7iMya+o9j5QFCQUDhELe1HtelvXcnQYIBtxHMnV6orhUHega4q6v7VrQZ0LBAJFwiGgkRCQcorK8jNqqCG3NMaoqw1RVhKmujFBVEaahppzGmihVFWElekRE5hAMBGj2zmUu2tA0Y14qnebkiNtuZp/LZh6Hjg8zNDZFfI62MxQMUBktozLTmcybVkTLiHptZWbqPi9zpxH3PLcsFKQsFPCmp56HggHt189g0RPtezoH+ObP95FKO24i2slMmb5C43gvONPP3ZP3zPuyPzdjvgMpL2GeuQpfCO6BRZBwKDh9YFEZLaO5LkpFeRWV5WVUeI+WpioCqRQ1VRHqYuXUxCK+ucVDRKSYlEdCc/a+y0g7DpPxpJfsTTI66fWonkgwNpmYThBPJdJMJVLEk+40kUyTTjsk50nSl5rnXxjk7h/uWdBnMu3n9EUKbxouCxGrCNNQE/USKKcOAGNR966CmpjbwzEWLdMBnYjIMhYuC7GyoZKVDWdOxANMTiWz7mKaYnQiwdhEgtHJhNcmJxmdSNA3HGcq4V6ojU+l8nb+Vxkt4xPvupJaH/xux4a2Oj7+jiuIJ1IEg97FhmCAYIAZf4eCgemLGLqzQERk8YSCQW8o1ArMPO+bnEoy7CXfh8cSjE+67eWYNx332tDh8Sm6B8YYn0wST6Rf9MXlALgXrrMS78FggEAAArjTYMD7O3DmvwME3OxvJrcLWcPPOYRCQZLekDruvFPtvJOVH87Mdxd1KrccjYS44/UX0DLHxf9CWPREe1VFmNbmGI4DmfPkUwUMkPXcK3Tvn/f+7PmBrPe5yznVS8E9KJjRcyGr14I7L/v1oHsAEQpQ5l2hD4eChLMS6uFQkHBZcEG/CFzM4wmJiMhMwUCAymiYyhx+fMYvvxp/wbpGPvW+a0innekDqsyBUzAYIECAlpZq+vtHvZN0im4MXhERKU7RSBnRhjJWzJOMn81xHJIp57ShTaYSqRl3OafS6ennybR7ofzUPAcHh5XN1cR8NNxYW8vcnRBERGR5iEbKiEbKFpxUTqbSpy5aZ128npxKkUi5ifhkMk0y7XhT7++UOyJIZppKO9OdoKfveGbW31nzM3dBZ/K5Gdl9qqLRMFPxZCZhPDMXzMy88qn50293y6R8cdvzRT96OG9FNbf/4bbF/m9FREQkz+qry+edX1FepuHQRERkUQQCAcJlAcJlwZx/6FqdpURExC8yQ8Lk0tmsUJZje6yuZSIiIiIiIiIiIiIiOVCiXUREREREREREREQkB0q0i4iIiIiIiIiIiIjkQIl2EREREREREREREZEcKNEuIiIiIiIiIiIiIpIDJdpFRERERERERERERHKgRLuIiIiIiIiIiIiISA6UaBcRERERERERERERyYES7SIiIiIiIiIiIiIiOVCiXUREREREREREREQkB2VzzfjYxz5W9ta3vjMv/0k4nGJ4eDQvy1pu/Bw7KH4/x+/n2MHf8fs5dihM/F/4wqfbgaN33nlncqGfzWd7vlB+/C74MWZQ3H7jx7j9GDMo7nwrxvbcr3VcSCrT/FOZ5p/KNP9UpvlXzGU6V5s+Z6IdaLv33n8q6EqJiIjIOTkEdACdL+Kzas9FRESKg9pzERGR0nDGNn2+RPtR7wP5/M/9yM+xg+L3c/x+jh38Hb+fY4fCxX80h88tVX348bvgx5hBcfuNH+P2Y8yguAuh2Npzv9ZxIalM809lmn8q0/xTmeZfsZfp6W264zgFf3z0ox91FuP/KcaHn2NX/P6O38+x+z1+P8eu+FUWfoxZcS/9eihuxay4FbdiLZ6HylRluhweKlOV6XJ4LMcyXawfQ/3YIv0/xcjPsYPi93P8fo4d/B2/n2MHxZ/Nj2Xhx5hBcfuNH+P2Y8yguP3AT7EuFpVp/qlM809lmn8q0/xbdmUacBxnqddBRERERERERERERGTZWqwe7SIiIiIiIiIiIiIiJUmJdhERERERERERERGRHJTle4HGmIuA/wi8CzjfWvtif1V9WfJz/H6OHfwdv59jB3/H7+fYQfFn82tZ+DFuP8YMihvFXfJx+zFm8G/c81GZiIiIvDgLSrQbY7YAXwCqgSngHdba52e97b3ALmD8DJ+/FfggkARGgHdZa4948waAPVlv/7y19l8Wsn6Flkv8xphy4FPAFUAIeA54t7V2zJv/X4A7vHmPAO+31iYLF83CFDj2kq77Wcu5A/ictTaQ9VrJ1v2s5Zwp9pKve2PMs8DJrJe+a639O29eSdf9WWL3Q92v8D7fitvefsNa+2lv3s3Anbh1vxd4p7V2pECh5MyvZVHguOfcPpZSju39B4Bbsl6qB1LW2gu9+UW7zytw3EW7v8vDd/wO4D8DcWAUeK+1dr83r5S37fniLsVtOwj8DXCD99LPgL+w1jre/FLdts8W97Leto0xV+Oeo0WAfuDt1trj3uyzHtv7Ta5laoy5CfgrwMHNh9xhrd29eBEUp1zK1RgTwG1nXuW99Thwm7W2e7HWvxjlYfvPvOc1wPeB9dbazkVY9aKVh+3/J0Az7nEDwKPW2j9bpNUvSnko0xjw98Bm3POsB3Hb6PSiBTGHcx46xjvQ+C7wSWvtduDjwP+d/T5r7buttXdz6guU+fxm4L8Dr7DWXgN8C/jf3rwG4JC19tqsR1EcpGTkGj9ukvmwtfYKa+1lQDfwIW/ZVwN/AuwALgTqgD8uVCwLVeDY/VD3meVcBbwcOJz1WqnXfWY5Z4rdL3VfOSvGTKLZD3U/V+x+qfvPAh+z1l4JXAXc7y27Hfeg4g+ttRcDB4G7ChFHPvi1LAoZt+eM28dSyjVma+1ns2MCfodXn8W8zytw3EW7v8vDsf2VwPuA66y1VwPfBv7Rm9dOiW7b88XtKbltG3gbsAn3mH470IDb27mkt23mj3tZb9vGmGrc7+5t3vnZ94C7M/PPdmzvN7mWqfd9uRu4xcuFfBS4Z7HWv1jl4bu6CYgCL7HWXg78FPjEIq1+UcrH9u+9Zz3wYeC3i7HexSxPZdoK3JjVXvg9yZ6PMv0E8E3vPOty4Gu4FzKX3ELGaL8UiFtrHwCw1t4PpIwxF5/j54/jNixD3t+7gXXe8zayEnBFKqf4rbUPW2v/F4AxpgJYy6kvwZuBL1prh63bQ+KTeAdxRaKQsZd83QMYY1pwr7a9Z9askq57mDf2kq97Y0wNM3u1ZSvpuj9L7H6o+w7cq/OvM8Y8AtwL9Hmz3wB82566DftvgDflc+XzzK9lUbC4z7J9LKWc9/kZxh12YGNW4qmY93mFjLuY93e5xl0PPG+tzfR4/S1uj2Yo4W2beeIu4W17O3CftTblbb9fAW715pXytj1f3Mt92/4DYKc91aP6H4HLvYSwnC7XMp0A3pC1T8zOhfhZTuVqXX9urU0bY8qA9RRJom0J5bz9ezmbe4H34/Y09rt87FNjtkju6isSOZWp9x29DlhnjPkV8CNg0murl9xCEu0bADvrtedxd2ZnZa0dstbugRm3Un/Bm90GVBpjvmWMedgY81ljTNUC1m0x5BR/hjHm57gXHU4An55j2ZbiangLGXvJ170xJgR8HfiItfbYWZZdUnV/lthLvu5xY0waY+4xxvzKm7bMseySqnvmj90Pdb8ZuAZ43Lo9XB/g1FX6Gcu21g4ACWNMY05rXDh+LYtCxj3f9rGU8tLee/4HbsJtrmUX0z6vkHEX8/4u17gfAA4ZY/7EGHM98Bbc8ZxPW3aJbdvzxV2q2/bjwOuNMRVeMus/AWvmWHYpbdvzxb3ct+3Z22gKOAR0FHztlqecytRaO2GtfRKme2l+hVO5ED/Ly3fVGPNVoAdoAf6yUCu7TOSjTL8EfMla+0wB13M5yalMjTGVQMgY83ljzC+NMd/x7hjws1y/p+24d7Q41todwN8BP/Ha6iW3kER7gtOvDjpneG1exh2b7CHgM9bazG2WJ3HHgHsb7m2Hk8BfL2S5iyAv8VtrX4b75akGMldrZi97yccUmqWQsfuh7u8CfmGtffAcll1qdT9f7H6o+yTwGPDHXgPwOPDPcyy71Op+vtj9UPdVwG5r7U8ArLVfBi7wejvmZZ+6iPxaFoWMe77tYynl61hvI+4QEj+YZ9nFtM8rZNzFvL/Lx3c8jfv9fdZ77dI8LbuQChl3SW7b1tqvAA8D/wb8EHgCGJ5j2SWzbZ8l7uW+bRfzNlqM8lKmXm/NXwMPWmv/WwHWc7nJS7laa9+GexGsH7g6/6u5rORUpsaY9+D2DL6nYGu4/OT6PY3i/sbHXdbal+IOG/UD/C3XMq0Chqy1XwTw8k2jwNaCrO0CLSTbvx/3ikG2jcCBc12AMeYW3OEjbszu3WqtfQz3oDTzvq/i3qpSTHKOP8Na22+M+Rbwp8Brs5b9QC7LLaCCxe6Tun8Dbu+mt3l/txpjngdup/Trfs7YrbW/pMTr3lq7l5njlH6FU+MGlnTdzxe7T7b7Tk6/mJ3yHjOW7SVew16Pz2Lk17IoWNxn2TcspXy197cB9866fbOY93kFi7vI93e5xv0R3N/g+RWAMebPgS5jzI9mL7vEtu054y7lbdta+wm8WLxzukwvs5LetueKuwS27f1kJSSN+6OS7bhtl5wu5zI1xuwA/hZ3CJnZPTn9Kh/lGrDWOtbaMWPMF4Fv4P6Ap1/lWqafAtq8c3aA84AHjTH/01r79QKtc7HLqUy9Y5/bMvOstfd5d7zVWWsHC7bWxS3X72kICMz6fOb8csmdc492a+3TQMQY8zIAY8x1QMR7/ay8Xj4fBl41ewgJY8z1xpjbs156HW4PkKKRh/g/aYzJPvB+KZAZo+3rwO3ebWQA/5XiOVAraOx+qHtr7XprrbHWbrbWbga6vOe/pMTrfr7Y/VD3xpjzjTF/6TUKMDPGkq77+WL3Q93j9nqLGWNu8D7/OtzezWO4P+ryBmPMau+97weK4gfUzsSvZVHIuM+yb1gyeYg5cxD8Vtwfvc9WtPu8QsZdzPu7PMQ9AVxr3B+0ArdXdyVuj+ZS3rbnjLtUt21jzJXGmHd7z6PAB4DPebNLdtueL+4S2LYfAK4wxmzz/n4zsKtILoYVnVzL1LjjNH8OeLWS7KfkoVxvB/42a597A6dyLL6Ua5laa2+w1m7MOn/fCdzk4yR7Pr6nq40xdxljwt7ndwD9Pk6y5+N72gs8aYx5u/f57bi93J+nCCx0/Jo3Av/HGHMX7o8i3GqMWQl8x7rjj87nVtwxs35qjMl+/XrgaeAdxpj3AmO4VzHuWOC6LYZc4v9r4DPGmJ3e34dxezRjrX3CGPN54DfGmEncg7TPFCSCF68gseOPup+TD+p+Pn6o+33ACuAZY8wwMIA7vqcf6n7O2PFB3VtrHWPMm4C7vZPz7Lo/Zoz5IHC/MSaOe1X+HYULIy/8WhYFiZv5t4+llus+/3IgMTuRsAz2eQWJm+Lf3+US96e9xy6vTh3gFuv+SOh4qW7bzBO3MaZUt+39wJ8ZY96HeyHls9Ybb7rEt+0542aZb9vW2kljzJuBrxpjksAgxfNdLVa5lOmrcPcN35uVC3mjtbZr0SIoTrmU6z24v4vyuDEmgTu00+2z/wMf0vaff7mU6XHci/S/844N4rgXZ/0u1+/pbcCXjTEfwC3fW6w7jvuSCziOhmETEREREREREREREXmxFvJjqCIiIiIiIiIiIiIiMosS7SIiIiIiIiIiIiIiOVCiXUREREREREREREQkB0q0i4iIiIiIiIiIiIjkQIl2EREREREREREREZEcKNEuIiIiIiIiIiIiIpIDJdpFRERERERERERERHKgRLuIiIiIiIiIiIiISA7+P0cqNHHJ3yfXAAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 1490.4x331.2 with 3 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
}
]
},
{
"cell_type": "code",
"metadata": {
"colab_type": "code",
"id": "5zQeemd5lxtl",
"outputId": "39af9f3f-d973-4e22-893f-6dffcd2d56fb",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 497
}
},
"source": [
"ba.plot_post_probs_hist(samples=500, title='')"
],
"execution_count": 14,
"outputs": [
{
"output_type": "stream",
"text": [
"/usr/local/lib/python3.6/dist-packages/pymc3/sampling.py:1247: UserWarning: samples parameter is smaller than nchains times ndraws, some draws and/or chains may not be represented in the returned posterior predictive sample\n",
" \"samples parameter is smaller than nchains times ndraws, some draws \"\n",
"100%|██████████| 500/500 [00:00<00:00, 697.16it/s]\n"
],
"name": "stderr"
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x432 with 1 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
}
]
},
{
"cell_type": "code",
"metadata": {
"colab_type": "code",
"id": "ncJ8vS5FGZQ-",
"outputId": "b1d2e13e-e508-42fe-dfa6-3bc4a8388115",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 457
}
},
"source": [
"ba.plot_trace()"
],
"execution_count": 12,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x432 with 6 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "kSqcsd5C5IEc",
"colab_type": "text"
},
"source": [
"### 参考\n",
"\n",
"- https://techblog.zozo.com/entry/bayesian_ab\n",
"\n",
"- http://tdual.hatenablog.com/entry/2018/04/21/004620"
]
},
{
"cell_type": "code",
"metadata": {
"id": "diN-vXl05KTx",
"colab_type": "code",
"colab": {}
},
"source": [
""
],
"execution_count": 0,
"outputs": []
}
]
}
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