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@rahuldave
Created September 2, 2021 20:09
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Reproducing the @ft Covid Vax Graph
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{
"cells": [
{
"cell_type": "code",
"execution_count": 35,
"metadata": {},
"outputs": [],
"source": [
"%matplotlib inline\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt"
]
},
{
"cell_type": "code",
"execution_count": 36,
"metadata": {},
"outputs": [
{
"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>age</th>\n",
" <th>risk</th>\n",
" <th>vaxrisk</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>30</td>\n",
" <td>0.001568</td>\n",
" <td>0.000086</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>35</td>\n",
" <td>0.003278</td>\n",
" <td>0.000182</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>40</td>\n",
" <td>0.008113</td>\n",
" <td>0.000467</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>45</td>\n",
" <td>0.020851</td>\n",
" <td>0.001121</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>50</td>\n",
" <td>0.036853</td>\n",
" <td>0.002024</td>\n",
" </tr>\n",
" <tr>\n",
" <th>5</th>\n",
" <td>55</td>\n",
" <td>0.065130</td>\n",
" <td>0.003653</td>\n",
" </tr>\n",
" <tr>\n",
" <th>6</th>\n",
" <td>60</td>\n",
" <td>0.119480</td>\n",
" <td>0.006774</td>\n",
" </tr>\n",
" <tr>\n",
" <th>7</th>\n",
" <td>65</td>\n",
" <td>0.199610</td>\n",
" <td>0.011343</td>\n",
" </tr>\n",
" <tr>\n",
" <th>8</th>\n",
" <td>70</td>\n",
" <td>0.298040</td>\n",
" <td>0.016471</td>\n",
" </tr>\n",
" <tr>\n",
" <th>9</th>\n",
" <td>75</td>\n",
" <td>0.436710</td>\n",
" <td>0.022384</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10</th>\n",
" <td>80</td>\n",
" <td>0.896800</td>\n",
" <td>0.046557</td>\n",
" </tr>\n",
" <tr>\n",
" <th>11</th>\n",
" <td>85</td>\n",
" <td>1.772600</td>\n",
" <td>0.096140</td>\n",
" </tr>\n",
" <tr>\n",
" <th>12</th>\n",
" <td>90</td>\n",
" <td>2.646700</td>\n",
" <td>0.141000</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" age risk vaxrisk\n",
"0 30 0.001568 0.000086\n",
"1 35 0.003278 0.000182\n",
"2 40 0.008113 0.000467\n",
"3 45 0.020851 0.001121\n",
"4 50 0.036853 0.002024\n",
"5 55 0.065130 0.003653\n",
"6 60 0.119480 0.006774\n",
"7 65 0.199610 0.011343\n",
"8 70 0.298040 0.016471\n",
"9 75 0.436710 0.022384\n",
"10 80 0.896800 0.046557\n",
"11 85 1.772600 0.096140\n",
"12 90 2.646700 0.141000"
]
},
"execution_count": 36,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"data2 = pd.read_csv(\"viz.csv\")\n",
"data2"
]
},
{
"cell_type": "code",
"execution_count": 41,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x576 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"red = \"#c51d35\"\n",
"blue = \"#2182BF\"\n",
"fig, ax = plt.subplots(figsize = (12,8))\n",
"ax.scatter(data2.age, data2.risk, \n",
" alpha=0.6, s=40, marker='o', color=red)\n",
"ax.scatter(data2.age, data2.vaxrisk, \n",
" alpha=0.6, s=40, marker='o', color=blue)\n",
"ax.axhline(0.037, 0, 1, color=\"black\")\n",
"ax.set_xlabel(\"Age\", fontsize='x-large')\n",
"ax.set_xlim((25, 95))\n",
"ax.set_ylabel(\"Risk of catching and dying from Covid (log scale)\",\n",
" fontsize='x-large')\n",
"ax.set_ylim((0.00008, 4))\n",
"ax.set_yscale('log')"
]
},
{
"cell_type": "code",
"execution_count": 56,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x576 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"red = \"#c51d35\"\n",
"blue = \"#2182BF\"\n",
"fig, ax = plt.subplots(figsize = (12,8))\n",
"ax.scatter(data2.age, data2.risk, \n",
" alpha=0.6, s=40, marker='o', color=red)\n",
"ax.scatter(data2.age, data2.vaxrisk, \n",
" alpha=0.6, s=40, marker='o', color=blue)\n",
"ax.axhline(0.037, 0, 1, color=\"black\")\n",
"ax.set_xlabel(\"Age\", fontsize='x-large')\n",
"ax.set_xlim((25, 95))\n",
"ax.set_ylabel(\"Risk of catching and dying from Covid (log scale)\",\n",
" fontsize='x-large')\n",
"ax.set_ylim((0.00008, 4))\n",
"ax.set_yscale('log')\n",
"ax.grid(axis=\"y\", color=\"black\", alpha=.5, linewidth=.5)\n",
"ax.tick_params(bottom=False, top=False, left=False, right=False)\n",
"ax.tick_params(labelbottom=True, labeltop=True, labelleft=True, labelright=True)\n",
"ax.tick_params(axis='y', which='minor', left=False, right=False)"
]
},
{
"cell_type": "code",
"execution_count": 60,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x576 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"red = \"#c51d35\"\n",
"blue = \"#2182BF\"\n",
"fig, ax = plt.subplots(figsize = (12,8))\n",
"ax.scatter(data2.age, data2.risk, \n",
" alpha=0.6, s=40, marker='o', color=red)\n",
"ax.scatter(data2.age, data2.vaxrisk, \n",
" alpha=0.6, s=40, marker='o', color=blue)\n",
"ax.axhline(0.037, 0, 1, color=\"black\")\n",
"ax.set_xlabel(\"Age\", fontsize='x-large')\n",
"ax.set_xlim((25, 95))\n",
"ax.set_ylabel(\"Risk of catching and dying from Covid (log scale)\",\n",
" fontsize='x-large')\n",
"ax.set_ylim((0.00008, 4))\n",
"ax.set_yscale('log')\n",
"ax.grid(axis=\"y\", color=\"black\", alpha=.5, linewidth=.5)\n",
"ax.tick_params(bottom=False, top=False, left=False, right=False)\n",
"ax.tick_params(labelbottom=True, labeltop=True, labelleft=True, labelright=True)\n",
"ax.tick_params(axis='y', which='minor', left=False, right=False)\n",
"from matplotlib.ticker import MultipleLocator, FixedFormatter, FixedLocator\n",
"ax.xaxis.set_major_locator(MultipleLocator(base=5))\n",
"ax.yaxis.set_major_locator(FixedLocator([0.0001, 0.001, 0.01, 0.1, 1]))\n",
"ax.yaxis.set_major_formatter(FixedFormatter([0.0001, 0.001, 0.01, 0.1, \"1%\"]))\n",
"ax.spines[\"top\"].set_visible(False)\n",
"ax.spines[\"bottom\"].set_visible(False)\n",
"ax.spines[\"right\"].set_visible(False)\n",
"ax.spines[\"left\"].set_visible(False)"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(array([5.0000e+01, 3.6853e-02]), array([8.0000e+01, 4.6557e-02]))"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"d50 = data2[data2.age==50][['age', 'risk']].values[0]\n",
"d80 = data2[data2.age==80][['age', 'vaxrisk']].values[0]\n",
"d50, d80"
]
},
{
"cell_type": "code",
"execution_count": 59,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.patches.FancyArrowPatch at 0x12d377ac0>"
]
},
"execution_count": 59,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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tbQbePndxJEmSJGVBo4XEY4HfTdF+Y/2aJEmSpAWk0ULiHmDvKdr3Be6duziSJEmSsqDRQmId8LGI2H1rQ0Q8CvgI8N1mBJMkSZLUuRratSki+oAfA48BrqW2u9ETgJuAv0wpDTQzZAu5a5MkSZJaIfO7Ns3mHIlFwMuAw+pNVwLnpZQeaFK2drCQkCRJUissnEJigbAzJEmS1AqZLyQaPUfiryLiyAmfvy4iroiIL0dET/PiSZIkSepEjS62/iiwFCAi9gc+A/wv8CTgY82JJkmSJKlT5Ru8b1/g6vrr5wE/SCn9TUQcAVzQlGSSJEmSOlajIxLwp/UDfwlcWn99K7BkThNJkiRJ6niNFhIbgL+JiKOAZ/GnQmIvYLAZwSRJkiR1rkYLibcDrwYuA76SUrq23r4KuKIZwSRJkiR1rtmcI5EDelNKd09o2xe4L6W0qTnxWs7tXyVJktQKmd/+1XMkJrMzJElqkepoicrQMPneHnLdxXbHkVot84VEo7s2SZIkzYlUrbJ5zaVsWbueVK4QhTxLVi5j6XHLidxs9oGR1E4WEpIkqaU2r7mUgdVrKfb3kSsWqJbKDKxeC0DfCce0OZ2kRln2S5KklqmOltiydv14EQGQKxYo9vexZe16qqOlNieU1CgLCUmS1DKVoWFSuTJeRGyVKxZIlQqVoeE2JZM0Ww1NbYqIR01zKQEjKaW75i6SJEmar/K9PUQhT7VUnlRMVEtlIp8n39vTxnSSZqPREYlbgJun+LgF2BwRgxHxofoWsZIkSVPKdRdZsnIZpYFBqqUyUCsiSgODLFm5zN2bpAxpdLH1ycBHgK8A/1NvOwL4a+B9wKOAtwD3AB+d24iSJGk+WXrccgC2rF1PpVIh8nn6X7ByvF1SNjR0jkRErAPOSyl9ZZv2k4GXpJRWRMRrgTenlJ7QnKgt4TkSkiS1iOdIaIHL/DkSjRYS9wGHpJRu2KZ9X2BDSmnniNgHuDqltFNzoraEhYQkSZJaIfOFRKNrGu4EVkzRvqJ+DWBnwK0WJEmSpAWg0TUS/wp8IiKeDFxO7Z37I4AXA2+r3/Nc4P/mPKEkSZKkjtPQ1CaAiDgROB04sN50LfCvKaVv1a/ngZRSGmtG0BZxapMkSZJaIfNTmxouJBYIO0OSJEmtkPlCotGpTQBExNOBJ1B74L46pfSzpqSSJEmS1NEaPdm6D1gNPIPaWREAD4+IHwMvSCltblI+SZI0DbdPldROjW7/+h/AQcBfp5Q21Nv+nNoBdRtSSn/d1JSt49QmSVLHS9Uqm9dcypa160nlClHIs2TlMpYet5zINboho6Q2y/zUpkYLiTuBY7edylSf6rQmpfTIJuVrNQsJSVLHG/z2JQysXkuxv49csUC1VKY0MEj/C1bSd8Ix7Y4nqTGZLyQafdtiEXD3FO13Ad1zlkaSJM2oOlpiy9r140UEQK5YoNjfx5a166mOltqcUNJC0WghcQXwjvoWr8D4dq/vqF+TJEktUBkaJpUr40XEVrligVSpUBnybFhJrdHork1nAN8DboyIiQfS9QLLm5RNkiRtI9/bQxTyVEvlScVEtVQm8nnyvT1tTCdpIWloRCKldDmwP3Au0EWtAPkysH9K6RdNSydJkibJdRdZsnIZpYFBqqUywPgaiSUrl7l7k6SW8UC6yewMSVLHm7RrU6VC5N21ScqgzC+2nraQiIhHNfqXpJRum7NE7WUhIUnKDM+RkDJtXhcSVbb/YB1ASil1zXWwNrGQkCRJUitkvpCYabH1M1uWQpIkSVKmuEZiMjtDkiRJrZD5EYlpV2RFxOLZ/EWzvV+SJElSds20tcMNEfH3EbHLTH9BRDw1Ii4ETp/TZJIkSZI61kyLrZ8EfBx4EvBj4BfArcAI8EjgCcBRQD/wMeDMlNJoCzI3k1ObJEmS1AqZn9q03TUS9YLiZcBfAnsDi4FB4P+A7wL/kVK6t8k5W8VCQpIkSa0w/wuJBcbOkKQFxHMYJLVR5guJmbZ/lSRpXpp0MnS5QhQ8GVqSZstCQpK04GxecykDq9dS7O8jVyxQLZUZWL0WgL4TjmlzOknKBt92kSQtKNXRElvWrh8vIgByxQLF/j62rF1PdbTU5oSSlA0WEpKkBaUyNEwqV8aLiK1yxQKpUqEyNNymZJKULRYSkqQFJd/bQxTyVEvlSe3VUpnI58n39rQpmSRli4WEJGlByXUXWbJyGaWBwfFioloqUxoYZMnKZe7eJEkNmulAuutpcDvUlNL+cxmqjdz+VZIWgEm7NlUqRN5dmyS1XOa3f52pkHjvhE+7gb8Dfgv8tN72NODPgH9PKb2rmSFbyEJCkhYQz5GQ1Ebzt5CYdFPEZ4H7Ukpv3ab9I8DDU0qnNClfq1lISJIkqRUWTCGxBTgipfTbbdr3B36eUnpEk/K1moWEJEmSWiHzhUSjE0G7gKnWQTx+DrNIkiRJyohGT7Y+Dzg7It4J/A+1d+6PBD4IfKNJ2SRJkiR1qEYLiVOBEeAzQJHaUEwJ+Bzw9uZEkyRJktSpGlojMX5zxE7AvtQKid+llO5vVrA2cY2EJElShxutVBkaqdC7KE93PrNbNmd+jcSsCokFwM6QJEnqUNWUuPjqAdZtHKRcrVLI5VhxQB+rDuonF5l7Ls9c4G1NO7UpIv4fcHpK6d7662mllF4/58kkSZKkCS6+eoALN2yiv6dIsatAaazKhRs2AXD8wbu2Od3CM9Maif0mXN9vhvt8F1+SJElNNVqpsm7jYL2IqE1nKnbl6O8psm7jIMcc0JflaU6ZNG0hkVJ65lSvJUmSpFYbGqlQrlYpdhUmtRe7cpSrFYZGKvQ9zBPqW6mhsi0ilkdkb+KZJEmS5ofeRXkKuRylseqk9tJYlUIu6F3U6GakmiuNjv98F7g5Iv4lIp7QzECSJEnStrrztYXVA8Ol8WKiNFZlYLjECqc1tUVDuzZFxG7Ay+sfBwO/BL4MfCOltLmZAVvM9R6SNAvV0RKVoWHyvT3kup1SIKm5Ju/alCjkwl2b2mjW279GxJ8DJwMvBpYC61JKJ8x9tLawkJCkBqRqlc1rLmXL2vWkcoUo5FmychlLj1tO5HxXUFJzeY5EZ9jhcyQi4i+ALwB/nlLqmtNU7WMhIUkNGPz2JQysXkuxv49csUC1VKY0MEj/C1bSd8Ix7Y4nSVmQ+UJiViVcROwWEf8QEb8CfkHtwfvNTUkmSepI1dESW9auHy8iAHLFAsX+PrasXU91tNTmhJKkVmhoeXtEvBh4BbAMGAT+A3hpSumaJmaTJHWgytAwqVwZLyK2yhULVCoVKkPDFPuWtCmdJKlVGt0n6xzgImAV8P2UUnU790uS5ql8bw9RyFMtlScVE9VSmcjnyff2tDGdJKlVGp3atFtK6aUppe9ZREjSwpbrLrJk5TJKA4NUS2WA8TUSS1Yuc/cmSVogGiokUkrDEZGPiJdHxD9HxIcj4qUR0baTPyLimIi4LiJ+FxFvn+L6n0XE/0TEaES8pR0ZJWm+WnrccvpfsJKx4WFKdwwwNjxM/wtWsvS45e2OJknzRqc/7zZ6jsS+wCXAHsB11FaZ7w/cDKxIKd3YzJBT5OkCfgv8FXALcAXwkpTStRPu6QceA5wA3JVSOrOBv9pdmyRpFjxHQpJ22Iy7NjXxeXfONDq16RPUiobHppSemFI6FNgbuK1+rdUOB36XUroxpVQCvgEcP/GGlNJASukKoNyGfJK0IOS6ixT7llhESBkzWqkyeG+J0Yoz1jtYxz/vNjo16ZnAUSmlga0NKaU76kMolzUl2cz2oFbYbHUL8JQ25JAkScqMySdDVynkclk+GXq+6/jn3dmscZhq2k+7ytipftIf8rSkq666irvvvvuh/jWSJEkd6ac33slPbriTXXYqUMgF91YTn/1VmV/v+0ievs8j2x1vQTn66KO3d0tTnnfnUqOFxI+Bj0XEC1NKdwFExCOBj9avtdotwF4TPt+T2jSrh+TQQw99qH+FJElSRxqtVPnGwLUc8pQuil1/mt1eGqtyy8gYRzz9QLrzszqrWM3VlOfdudToT8ubqS+ujohfRMTPgT8C+9Gek62vAPaLiL0jogi8GFjThhySJEmZMDRSoVytTioiAIpdOcrVxNBIpU3JNI2Of95taEQipfTbiHg88DLgwHrz54Gvp5RGmhVuhjyViHgj8D2gC/hiSumaiDilfv1zEbEb8L9AL1CNiNOAA1NKQ63OK0mS1G69i/IUcjlKY9UHjUgUckHvorbt6q8pZOF5t6HtXxcQO0OSJM1bF/36Di7csIn+niLFrlpRMTBc4sRDduP4g3dtd7yFJvOr22ec2hQRT4yIH0XEw6e4tktE/FdEHNK8eJIkSZorqw7q58RDdmN4ZIxNwyWGR8Y48ZDdWHVQf7ujKYNmHJGIiK8Cv08pvWea6++jdrbEK5uSrvUckZAkSfPeaKXK0EiF3kV5F1i3z/wekQCeCnx7husXAU+fszSSJElquu58jr6HFS0i9JBs76dnT2DLDNfvpHZYhiRJkqQFZHuFxD3AvjNc37d+jyRJkqQFZHuFxH8Dr53h+uuAn81dHEmSJElZsL0Ng88EfhwRdwEfSindBhARjwLeDbwA+MvmRpQkSZLUabZ7jkREvAr4LFAEth5u0QuUgDemlM5pasLWctcmSZIktULmd21q6EC6iNgdeBGwH7Vv+jrggq0jFPOIhYSklqqOlqgMDZPv7SHXXWx3HElS6yyMQmIBsTMktUSqVtm85lK2rF1PKleIQp4lK5ex9LjlRM7tGCVpAch8IbG9NRKSpCbYvOZSBlavpdjfR65YoFoqM7B6LQB9JxzT5nSSJG2fb3tJUotVR0tsWbt+vIgAyBULFPv72LJ2PdXRUpsTSpK0fRYSktRilaFhUrkyXkRslSsWSJUKlaHhNiWTJKlxFhKS1GL53h6ikKdaKk9qr5bKRD5PvrenTckkSWqchYQktViuu8iSlcsoDQyOFxPVUpnSwCBLVi5z9yZJUiY0uv1rHngNsAzoZ5sCJKV0VFPStZ67NklqiUm7NlUqRN5dmyRpgcn8rk2NFhKfB/4auBTYxDYP3Cmlv2lKutazkJDUUp4jIUkL1oIpJO4EXp5S+m7zI7WVhYQkSZJaIfOFRKPj50PAjc0MIkmSJCk7Gi0k/gV4e0QUtnunJEmSpHlvNoutLwKeDFwHTNqzMKX0rKakaz2nNkmSJKkVMj+1Kd/gfZ8FngWsZ4rF1pIkSVl27rnncs011/C6172O/fbbr91xpExodERiGHhJSuk7zY/UVhZIkiQtQE960pO48soriQhOPPFE3vrWt/KUpzxl2vtHK1WGRir0LsrTnXfLZu2QzI9INFpI3Aw8O6V0XfMjtZWFhCRJC9Dvf/97PvShD/HVr36VUqkEwFFHHcXb3vY2VqxYQa5+vks1JS6+eoB1GwcpV6sUcjlWHNDHqoP6yUXmnwvVWpn/gWm0kHgj8BfA61JKlaanah8LCUmSFrDbbruNT3/603zuc5/jnnvuAeDAAw/krLPO4qijjuKiX9/BhRs20d9TpNiVozRWZWC4xImH7MbxB+/a5vTKmAVTSHyf2kLrEWAjD15svbwp6VrPQkKSpAwYGxujXC6zaNEiAO6//35uvPFGHnjgAUZGRsb/3Pr64Q9/OKtWreKBBx7gC1/4Aps2bZryvpGREY499lhe9apXcfLJJ/Od73yHsbEx8vk8T3jCQfzF6Z/nkbv0UOz603Sm0liV4ZExPnXigU5z0mxkvpBodLH1LfUPSZIkAFJKRH06T0qJm2666UEP8lv/zOVyPOc5z2Hx4sVccMEFXHfddVPeNzIywr777svHPvYxfvSjH/G2t72NoaGhB91XLtfe03z729/Ohz/8YQ455BBuuOGGGfP+8Ic/ZHBwkNNPP33G+2677TZOPfVURkdHGRsbA6BSqXD7pk2MlkuTigiAYleOcrXC0EiFvod5Qr0WjoYKiZTSq5odRJIkPTT33HMPw8PDU77LXiqVOPLII3nEIx7BlVdeyU9+8pMp7xsZGaGnp4cPfvCD3HfffZxyyincfvvtD7pv658rV67kO9/5Dq9+9av58pe/PGO+f/7nf+alL30pL3rRi2a8L5fL8Y53vIOf/exnXHHFFVPeExHstNNOLFmyhIhg+fLl/OhHP2Lx4sUsWrRo/M+tr/fYYw+e/OQnExF86lOf4v7775/yvkWLFrHvvvvytre9jcsuuwyAfD7PmWeeyWtefwpvufh6SmPVB41IFHJB76JG35+V5odZ/cRHxF7AgdSmAF2bUnKUQpKkunK5zH333Tft9JoDDzyQ3Xffndtvv53vfve73H///VPeFxGcdtpp7LvvvrzpTW/immuumXYazmMe8xguv/xyzj//fF772tcy05Tl5z3veXzzm9/k2GOPZdOmTTN+L6tWrSIiWLt27Yz35fO1R4mDDz6Yvffem2KxOOmhfOufu+yyC89//vPZa6+9+OxnP8utt9465X2LFi3igAMOYMmSJbzjHe/gxBNPBHjQfYVCYXw0BOCzn/1so/838fd///dTto+MjPBv//ZvvOhFL+Luu+8G4EUvehEf/OAHedzjHgfAigP6pl0j4bQmLTSNrpHYCTgLeDl/ms9VBb4G/E1K6YGmJWwt10hIC0ClUhl/+NH8Uy6Xp3yX/YEHHmC33XbjMY95DCMjI3zve9/jrrvumvJd9lKpxEknncSRRx7J5z//eS6++OJpH+R33nlnvv3tbzM2NsYznvEMhoaGps22xx57cPPNN/P85z+fb33rWzN+H+95z3t44xvfyO677z4+vWYqe+65J9dccw0/+tGP+Nu//VtSSlO+y77TTjvxhje8gRUrVrB69Wp+8pOfTHnf4sWL2X333Vm2bBm5XI6NGzdy3333TXlfd3c3XV1dO/z/VSf5xS9+wQte8AJuvvlmAJ75zGfykY98hCc/+cmT7pu8a1OikAt3bdKOyvwPTKOFxGeAY4E3AT+qNx8NfBq4OKX0xmYFbDELCWkeu/HGG3nXu97F+eefz1e/+lVe+tKXtjvSvJVSYnR09EEP6IsXL2bvvfcmpcTPf/5zbrnllmmn1xx++OGccMIJ/OQnP+Gss87ivvvum/I+gDPPPJPly5dz2GGHsXHjxmlz5XI5brrpJr7+9a9zxhlnzPg9POc5z+GSSy7hcY973Ixz77u7u/nhD3/IIx7xCJYvX87Q0NC002ue85zncMYZZ/DTn/6Ur3zlKw96937r697eXo4//nh6enq4/vrrH/Tu/cTXO++887x5mG+nt771rZx55pkccsghfOQjH+E5z3nOpBGPbXmOhOZA5guJRt+SewFwckrpexPaLoqIUeBcYL4UEpIypjpaojI0TL63h1z31IscBwcH+eAHP8hZZ51FuVymu7ubpUuXtjhp66WUqFQqkx68U0o8+tGPJiK46aab2Lhx45QP8lvfvX/1q1/NLbfcwsc+9jHuvPPOKe8bHR3lta99LW9+85t57Wtfy9e+9jVGR0enzbVmzRoe8YhH8IxnPGPG/A9/+MO58847OeusszjvvPNmvPeGG26gWq0yNjZGLpd70IP81j/3228/+vv7OeGEE/jNb37D2NjYlPcuXryYY489FoDLLruMX/7yl+Pt2z7Q77LLLuy8884A4+9mb8/Tn/50nv70pzd073777edJyy3wgQ98gOc///kcfvjh42dGzKQ7n3NhtRa8RkckRoA/3/ZAuoh4PHBVSmlxk/K1miMSUkakapXNay5ly9r1pHKFKORZsnIZS49bTtQfAu677z4+8YlP8NGPfpTh4WEigpNPPpn3v//9PPrRj25Z1mq1Ov4APjo6yq677koul+O+++7jqquumnY+/aJFi3jZy15GPp/n4x//ODfddNO002sOP/xw/v3f/52zzz6bd73rXePz9KvV6oPy/NM//ROnn346S5cunfGBH2Djxo1873vf47TTTpvxvhNOOIFvfetbrFq1iu985zsA4w/aEx+8+/v7+cIXvkBfXx+nn34699xzz5Tvsi9atIgjjzySo48+ms2bN3PZZZdRKBSmvK+3t5fdd98dmLyLkCR1uMz/smp0ROJq4HXAW7Zpf339miS11OY1lzKwei3F/j5yxQLVUpmB1bVFoX0nHMO6det4zWtew+233w7AihUr+MAHPsB+++03/u5xSolrrrmGe++9d8p58tVqlVWrVrHrrrvyn//5n1xxxRXTblfZ19fHF7/4Ra699lpe+cpXsmXLlknz7Sc6/vjj+fa3v82zn/1sLr/88hm/z+7ubvbff3/e+c53znjfTTfdxCc/+Ul+//vfMzAwMN7e1dU16aG7p6eHJz7xiey8886ccsopbNy4cdppOPvssw/7778/e+21F7vuuiuVSmXa6TWPf/zjgdpow+joKMVicbvv6n7xi1+c8fpWS5cu5aSTTmroXosISWqdRkckngtcBFwJ/JjaO/d/CRwGHJdSuqSZIVvIEQkpA6qjJX77xnfR1dNDrlj4U3upzJ2bB3nXrdfy0//+b0ZHR+nq6iKfz1Mul8ffnX/c4x7Htddeyzvf+U7OPPPMGf+3TjnlFD7xiU/Q29s7vm/9dK699lquvvpqXvjCFz7o2sQH7ze84Q28973v5ZOf/CSrV6+e8l32xYsXs3TpUt70pjfR29vLBRdcwF133TXjg/wuu+wCwF133UU+n2fx4sUuKpekzpX5dz4aKiQAIuJg4K3AE+pN1wAfSyn9uknZ2sFCQsqA0uAWbnjrBynu1v+ga9f99jesuuhrU07pyefzLFq0iCOOOIJLLrmEiy66iA996EN0dXVNOZ/+YQ97GKeccgpPeMITWLt2Lddee+2003Ae85jHjG8POTg4yNjY2Pi17u5u3ymXJG0r8/8wbLeQiIgC8FPgFSml37QkVftYSEgZMNOIxNjwMLu851Q++omP82//9m9UKhUAnv3sZ3PGGWewbNkyH+olSZ0g8/8YbXdbgpRSGdgXqDQ/jiRtX667yJKVyygNDFIt1aYbVUtlSgODLFm5jN322pOPf/zj3HDDDbz5zW9m55135gc/+AF/9Vd/xWGHHcZ55503XmBIkqQdM5tzJO5IKb2/+ZHayhEJKSMm7dpUqRD5B+/atNVdd93FWWedxac+9anxhcivfOUr+dKXvtSO6JIkwTwYkWi0kPgAtcPorgB+Adw38XpK6cNNSdd6FhJSxjRyjsRWIyMjfPWrX+Xss8/muOOO413veleLUkqS9CALppD4/QyXU0ppn7mL1FYWEpIkSWqF+VtIRMSjgZtTo9s6zQ8L6XuVJElS+2S+kJhpsfXvgT6AiPhhROzSkkSSJEmSOt5MhcS9wNL666OBwvS3SpIkSVpIZjry9IfADyLimvrnF0REaaobU0rL5zyZJEmSpI41UyFxMvA3wH7U1g5sAh5oRShJkiRJnW02uzY9KaW0pfmR2srF1pIkSWqFzC+2bqiQWEDsDEmSJLVC5guJmRZbS5IkSdKULCQkSZIkzZqFhCRJkqRZs5CQJEltMVqpMnhvidFKtd1RJO2AmbZ/lSRJmnPVlLj46gHWbRykXK1SyOVYcUAfqw7qJxeZX38qLRgNFRIRcT1T72iUgBHgt8AXUkqXzmE2SZI0D1189QAXbthEf0+RYleB0liVCzdsAuD4g3dtczpJjWp0atMFQD+wBfhO/WNzve2HwCOBdRGxqhkhJTVXdbREaXAL1dEpD6+XpDkzWqmybuNgvYioPYYUu3L09xRZt3HQaU5ShjQ6tenhwGdTSu+c2BgRHwR2SSkti4iPAO8GLp7jjJKaJFWrbF5zKVvWrieVK0Qhz5KVy1h63HIi5xIqSXNvaKRCuVql2FWY1F7sylGuVhgaqdD3sGKb0kmajUafFF4MfGmK9nOBl9ZffxX4s7kIJak1Nq+5lIHVa+nq6aG4Wz9dPT0MrF7L5jXOUpTUHL2L8hRyOUpjk0ceSmNVCrmgd5HLN6WsaLSQ6AL2n6J9/wl/xyjgeKSUEdXRElvWrqfY30euWHtnMFcsUOzvY8va9U5zktQU3fnawuqB4dJ4MVEaqzIwXGLFAX105x0NlbKi0bL/fODsiHgH8HNqi6yPAD4IfKN+zxHAb+Y8oaSmqAwNk8qV8SJiq1yxQKVSoTI0TLFvSZvSSZrPVh3UD1DftalCIReceMhu4+2SsqHRQuLvqe3O9DmgAARQAj4PvK1+z/8Br53rgJKaI9/bQxTyVEvlScVEtVQm8nnyvT1tTCdpPstFcPzBu3LMAX0MjVToXZR3JELKoEhpql1dp7k5YifgcfVPf5dSur8pqdqn8c6Q5oHBb1/CwOq149ObqqUypYFB+l+wkr4Tjml3PEmS5rPMH5oyq0JiAbAztKBM2rWpUiHy7tokSVKLLIxCIiICOBlYDuzKNou0U0rPakq61rOQ0IJUHS1RGRom39tDrtttFyVJaoHMFxKNrpH4KHAa8APgD/jALc0rue6iC6slSdKsNDoisQl4U0rpguZHaisLJElSZoxWqi5WlrJrwYxIFKjtyiRJktqsmhIXXz1Q3z61SiFXO5th1UH95CLzzyaSMqLRty++Cjy/mUEkSVJjLr56gAs3bKJnURe79XTTs6iLCzds4uKrB9odTdIC0uiIxD3AGRHxNOAqamdIjEspfXiOc0mSpCmMVqqs2zhIf0+RYlft/cBiV47+niLrNg5yjKdDS2qRRguJk4Eh4M/rHxMlwEJCkqQWGBqpUK5WKXZNPpW+2JWjXK0wNFKh72Huviap+RoqJFJKezc7iCRJ2r7eRXkKuRylser4iARAaaxKIRf0Lmr0PUJJemgc+5QkKUO687WF1QPDJUpjVaBWRAwMl1jhtCZJLTTt9q8R8U7gEymlB+qvpzWP1ki4/askqeNN3rUpUciFuzZJ2ZP5/1hnKiR+DzwppbSl/no6KaW0T1PStZ6FhCQpMzxHQsq0+VtILFB2hiRJkloh84VEQ29fRMRjm5xDkiRJUoY0Og56Q0R8LyJOjAi3g5AkSZIWuEYLiWcBd1A74fqWiPjniHhc82JJkiRJ6mSzWiMREQ8H/hp4DXAIcBnw/4BvpZTKTUnYWq6RkCRJUitkfo3EDi+2jog3AJ8CCsAW4N+Aj6aURucuXstZSEiSJKkVFlYhERE9wEuB1wF/DnyP2ojEnsA/ANeklI5rQs5WsZCQpAXE7VMltVHmC4mGFk5HxFOpFQ8vBIaAc4DnpZRunnDPz4DLmxFSkqS5NPlAtyqFXM4D3SRplhrdgem/gUuBk4E1KaWxKe65HjhvroJJktQsF189wIUbNtHfU6TYVaA0VuXCDZsAOP7gXducTpKyoaGpTRGxd0ppptOt5wunNknSPDdaqXLqhdfSs6iLYtefpjOVxqoMj4zxqRMPdJqTpFbI/PBnQ78pF0gRIUlaAIZGKpSr1UlFBECxK0e5mhgaqbQpmSRly7SFRESUI6LUyEczA0bEMRFxXUT8LiLePsX1iIhP169viIjDJlz7YkQMRMTVzcwoScqO3kV5CrkcpbHqpPbSWJVCLuhd5LmrkjpDpz8HzzQi8boJH28D7gMuAt5a/7gIuLf+uikiogv4DLACOBB4SUQcuM1tK4D96h+vB86acO3LwDHNyidJyp7ufG1h9cBwabyYKI1VGRguseKAPqc1SeoIWXgOnvZtl5TSl7e+joivAx9KKZ054ZZPRcQ/AEdSO0+iGQ4HfpdSurGe4xvA8cC1E+45HvhKqi32uDwidomI3VNKt6eUfhwRj21SNklSRq06qB+gvmtThUIuOPGQ3cbbJakDdPxzcKPjt8cC75mi/SLgfXOW5sH2AG6e8PktwFMauGcP4PYm5pIkZVguguMP3pVjDujzHAlJnarjn4MbLSQeAJ4K/G6b9qfWrzXLVKvZt91ZqZF7GnLVVVdx991378iXSpIkSQ07+uijt3dLS5+Dd0SjhcT/A86KiP2B/6EW8EjgVODTTcoGtapqrwmf7wnctgP3NOTQQw/dkS+TJEmS5lpLn4N3RKPbv/4j8G7gVcBa4LvAK6lNd/rHZoUDrgD2i4i9I6IIvBhYs809a4CT66vWnwrck1JyWpMkSZKyrOOfgxve4y6l9ClqC6x7qB1kN9S8WOP/m5WIeCPwPaAL+GJK6ZqIOKV+/XPUiprnUpt2dT+1YgeAiDgPOBpYGhG3AO9NKZ3T7NySJEnSQ5GF5+CGTrZeQOwM7ZDqaInK0DD53h5y3cV2x5EkSZ0v8ydbe+qO9BCkapXNay5ly9r1pHKFKORZsnIZS49bTuTcAUaSJM1fFhLSQ7B5zaUMrF5Lsb+PXLFAtVRmYPVaAPpO8CxESZI0f/mWqbSDqqMltqxdP15EAOSKBYr9fWxZu57qaKnNCSVJkprHQkLaQZWhYVK5Ml5EbJUrFkiVCpWh4TYlkyRJar5ppzZFxNMa/UtSSj+bmzhSduR7e4hCnmqpPKmYqJbKRD5PvrenjekkSZKaa6Y1Ej+ltovR1hXlW3c02vZzqG1JJS0oue4iS1Yue9AaidLAIP0vWOnuTZIkaV6bqZDYe8LrQ4BPAf9KrcAAeDpwOnBaU5JJGbD0uOUAbFm7nkqlQuTz9L9g5Xi7NN+NVqoMjVToXZSnO+9sWUlaSBo6RyIifgqcmVL69jbtzwPellI6ojnxWs5zJLRDPEdCC001JS6+eoB1GwcpV6sUcjlWHNDHqoP6yUXmt0aXpFbI/C/LRguJB4BDUkrXb9O+H7AhpbS4SflazUJCkhpw0a/v4MINm+jvKVLsylEaqzIwXOLEQ3bj+IN3bXc8ScqCzBcSjY5D3wK8Yor2V9SvSZIWiNFKlXUbB8eLCIBiV47+niLrNg4yWqm2OaEkqRUaPZDuXcB5EXE08N/U3rk/EjgCeGlTkkmSOtLQSIVytUqxa/LWx8WuHOVqhaGRCn0Pc4qfJM13DY1IpJTOB54E/B54NrAc+ANweP2aJGmB6F2Up5CrTWeaqDRWpZALehc1+h6VJCnLGlojsYDYGZLUANdISNJDlvk1ErMqJCKiCPSzzUhGSumPc5yrXSwkJKkBk3dtShRy4a5NkjQ7mf9l2eiuTfsA5wDPYPI3HUBKKc2XA+ksJCRpFjxHQpJ2WOYLiUYnsp4NPBx4GXArPnBLkoDufM6F1ZK0QDU6InEvcERK6dfNj9RWFkiSJElqhcyPSDQ6Dn0zMF+mL0mSJEl6iBotJM4APhwRj2xmGEmSJEnZ0OjUpuuB3YEicBtQmng9pbR/U9K1nlObJEmS1AqZn9rU6GLrrzU1hSRJkqRM8UC6yewMSZIktULmRyTc9FuSJEnSrDVUSEREMSLeGxHXRcRIRIxN/Gh2SEmSJEmdpdERifcCrwfOojb9593UTrq+E3hTc6JJkiRJ6lSN7tp0A3BqSuk7ETEMHJpSuiEiTgWenFJ6ebODtohrJCRJktQKC2aNxO7Ahvrr+4De+uuLgWPnOpQkSZKkztZoIXEb0F9//QfgqPrrg4DKHGeSJEmS1OEaLSR+CBxXf30O8NGI+B/g68AFzQgmSZIkqXM1fI5ERESq3xwRJwHPAK4DPp9Smi+jEq6RkCRJUitkfo2EB9JNZmdIkiSpFTJfSHggnSS10WilyuC9JUYr1XZHkSRpVvLtDiBJC1E1JS6+eoB1GwcpV6sUcjlWHNDHqoP6yUXm36SSJC0AFhKS1AYXXz3AhRs20d9TpNhVoDRW5cINmwA4/uBd25xOkqTtc2qTJLXYaKXKuo2D9SKi9mu42JWjv6fIuo2DTnOSJGWChYQktdjQSIVytTpeRGxV7MpRriaGRubLRniSpPmsoalNEfH/prmUgBHgt8D5KaXBuQqmhaU6WqIyNEy+t4dcd7HdcaSm6l2Up5DLURqbXEyUxqoUckHvImedSpI6X0Pbv0bEZcATgQK1syMA9gfK1IqIxwNV4OkppWubE7Ul3P61xVK1yuY1l7Jl7XpSuUIU8ixZuYylxy0ncg6Yaf666Nd3TFgjUSsqBoZLnHjIbq6RkKSFIfM7azT6ttcFwP3Ay1NKdwFExCOArwDfBb4KnA+cCTy3CTk1T21ecykDq9dS7O8jVyxQLZUZWL0WgL4TjmlzOql5Vh3UD1DftalCIReceMhu4+2SJHW6Rkck/gAcl1LasE37nwNrUkqPiYin1F9n+a00RyRaqDpa4rdvfBddPT3kioU/tZfKjA0Ps/+/f8hpTpr3RitVhkYq9C7K0513FE6SFpDMj0g0+q/WrtSmNW2rAPTVX98B7DwXobQwVIaGSeXKpCICIFcskCoVKkPDbUomtU53Pkffw4oWEZKkzGn0X66fAP8eEXtvbYiIfYBP1a8BHADcNLfxNJ/le3uIQp5qqTypvVoqE/k8+d6eNiWTJEnS9jRaSLweWAz8LiLuiIhNwPXATvVrUFtv8f65j6j5KtddZMnKZZQGBseLiWqpTGlgkCUrlzmtSZIkqYM1tEZi/OaIv6I28gBwbUrpB01J1T6ukWixSbs2VSpE3l2bJEnSgpD5NRKzKiQWADujTTxHQpIkLTALp5CIiH2BZ1FbeD3preKU0nyZ0mQhIUmSpFZYGIVERLwc+BK1U6zvYPIDd0op7d+ceC1nISFJkqRWWDCFxA3UDpx7d0pprOmp2sdCQpIkSa2wYAqJ+4CDU0o3Nj9SW1lISJIkqRUyX0g0ui3OeuCJzQwiSZIkKTvyDd73VeAjEbEn8CugNPFiSulncx1MkiRJUudqdGpTdYbLKaXUNXeR2sqpTZIkSWqFzE9tanREYu+mppAkSZKUKR5IN5mdIUmSpFaYvyMSEfE04OcppbH662m5RkKSJElaWKYdkaivi9gtpTRQf52YunJyjYSkthmtVBkaqdC7KE93vtGN6CRJarv5OyJBbV3E4ITXktQxqilx8dUDrNs4SLlapZDLseKAPlYd1E8uMv+7WZKkjucaicnsDCkjLvr1HVy4YRP9PUWKXTlKY1UGhkuceMhuHH/wru2OJ0nS9mT+Xa9Gd20iInLAvsCubHOQXUrpx3OcS5KmNVqpsm7j4HgRAVDsytHfU2TdxkGOOaDPaU6SJDVZQ4VERBwG/CewDw+unhIwX9ZISMqAoZEK5WqVYldhUnuxK0e5WmFopELfw4ptSidJ0sLQ6IjE54AbgZcDt+IUIElt1LsoTyFXm860dUQCoDRWpZALehc1PNgqSZJ2UKP/2j4BeGJK6bfNDCNJjejO1xZWT7dGwmlNkiQ1X6OFxG+ApYCFhKSOsOqgfoD6rk0VCrngxEN2G2+XJEnN1dCuTfUD6T4MnApsSPN3q6f5+n1J85bnSEiSMirzuzbNdCBdmckP1lsXVCegOvHelNJ8WdVoISFJkqRWyHwhMdPUptfhg3VmVEdLVIaGyff2kOueL3WdJEmSOpUH0k2Wuc5I1Sqb11zKlrXrSeUKUcizZOUylh63nMg5zUOSJKlDzesRiXER8VygmlK6ZJv251ArRi6Z+ivVbJvXXMrA6rUU+/vIFQtUS2UGVq8FoO+EY9qcTpIkSfNVo29ZfxgoTNGeB/557uJoNqqjJbasXT9eRADkigWK/X1sWbue6mipzQklSZI0XzVaSOwHXD1F+zX1a2qDytAwqVwZLyK2yhULpEqFytBwm5JJkiRpvmu0kBgBdpui/VFAee7iaDbyvT1EIU+1NPn/gmqpTOTz5Ht72pRMkiRJ812jhcQPgX+KiEVbGyJiMfC++jW1Qa67yJKVyygNDI4XE9VSmdLAIEtWLnP3JkmSJDVNowfS7QP8jNr5ET+jtrvRkdQKkaenlH7XzJAtlO1dmyoVIu+uTZIkSRmQ+V2bGt7+NSJ2Bd4IHFZvuhL4bEppU5OytUPmComtPEdCkiQpUxZGIRERjwZuTlPcHBGPTin9sRnh2iCzhYQkSZIyJfOFRKNzX34P9G3bGBFL6tckSZIkLSCNFhLTVUw7AaNzlEWSJElSRsx4snVEvKf+MgFviYh7J1zuorbg+pomZZMkSZLUoWZcIxER19df7gv8ARibcLlEbVrTe1NKVzYrYIu5RkKSJEmtkPk1Eo0utr4MODGldFfzI7WVhYQWpNFKlaGRCr2L8nTn3TZYkqQWWBiFxAJiZ2hBqabExVcPsG7jIOVqlUIux4oD+lh1UD+5yPzvN0mSOlnm/6GdcY3ERBHxOOAk4DHApIMKUkqvnuNcklrg4qsHuHDDJvp7ihS7CpTGqly4oXY0zPEH79rmdJIkqZM1VEhExHOAi4DfAAcCvwL2obbr0xVNSyepaUYrVdZtHKwXEbXpTMWuHP09RdZtHOSYA/qc5iRJkqbV6FPCB4CPppQOpbbd64uARwM/Bi5sTjRJzTQ0UqFcrY4XEVsVu3KUq4mhkUqbkkmSpCxotJA4APhK/XUFWJxSug94L/C2hxoiIo6JiOsi4ncR8fYprkdEfLp+fUNEHLa9r42IkyLimoioRsSTHmpGab7pXZSnkMtRGqtOai+NVSnkgt5FDc98lCRJTdDpz8iNFhL3Uzs3AmAT8Nj66wrwkCZSR0QX8BlgBbVpUy+JiAO3uW0FsF/94/XAWQ187dXAidRGTSRtoztfW1g9MFwaLyZKY1UGhkuscFqTJEltlYVn5EbfcrwSOBy4DrgM+HBE7Am8DPjlQ8xwOPC7lNKNABHxDeB44NoJ9xwPfCXVtpi6PCJ2iYjdqRU0U35tSmljve0hxpPmr1UH9QPUd22qUMgFJx6y23i7JElqm45/Rm60kHgX0Ft//R7gXOBj1AqLVz7EDHsAN0/4/BbgKQ3cs0eDX9uwq666irvvvntHv1zKpIcDJy6pcn9pjJ2KXRS3bObHP9rY7liSJM1rRx999PZu6Zhn5Ok0VEiklH454fVmYOUcZpiqHNr2PIfp7mnkaxt26KGH7uiXSpIkSXOpY56Rp9Po9q97A4WU0m+3ad8PKKeU/vAQMtwC7DXh8z2B2xq8p9jA10qSJElZ0/HPyI2upvwicOQU7U8DznmIGa4A9ouIvSOiCLwYWLPNPWuAk+sr058K3JNSur3Br5UkSZKypuOfkRstJJ4I/PcU7f8DHDZFe8NSShXgjcD3gI3A+SmlayLilIg4pX7bd4Ebgd8BXwD+dqavBYiI50XELcARwNqI+N5DySlJkiS1ShaekaO2yHs7N0XcBzw1pfTrbdoPBi5PKe28owE6zJzPHZMkSZKmkPmtRRsdkbiSqXdnejVw1VyFkSRJkpQNjW7/+n7gkoh4HPB9au/cP4faIRfPbVI2SZIkSR2qoalNABHxbGpnSPxFvelK4AMppe83KVs7OLVJkiRJrZD5qU0NFxILhJ0hSZKkVsh8IdHoGglJkiRJGmchIUmSJGnWLCQkSZIkzZqFhCRJkqRZm7aQiIgbI2JJ/fV7ImKn1sWSJEmS1Mmm3bUpIh4A9k8p3RwRY8DuKaWBlqZrPXdtkiRJUitkftemmQ6k2wCcExE/ovaNnhYR9051Y0rpw80IJ0mSJKkzzTQicRDwUWA/YB/gVmBsiltTSmmfpiVsLUckJEmS1AqZH5Fo6EC6iKgCuzm1SZIkSZoTmS8kGt21aW9gsJlBJEmSJGVHQyMSABHxSOBvgSdQe+f+GuCslNKdzYvXco5ISJIkqRUyPyLR6NSmvwC+D4wAP6f2jR8OdAPPTin9spkhW8hCQpIkSa2wYAqJy4A7gJNTSqV6WzfwFaA/pfTMpqZsHQsJSZIktcKCKSTuB56cUrpmm/aDgJ+nlHZuUr5Ws5CQJElSK2S+kGh0sfUo0DtFe2/9miRJkqQFpNFC4nvAZyLi8VsbIuLPgH8HLmlGMEmSJEmdq9GpTbsBFwFPArZQmwK0FLgCOD6ldEczQ7aQU5skSZLUCpmf2tTw9q8AEbEMOLD+6TUppR82JVX7WEhoh4xWqgyNVOhdlKc73+hAnyRJWsAWViGxANgZmpVqSlx89QDrNg5SrlYp5HKsOKCPVQf1k4vM/36QJEnNk/kHhXy7A0hZdvHVA1y4YRP9PUWKXQVKY1Uu3LAJgOMP3rXN6SRJkprHORjSDhqtVFm3cbBeRNT+Uyp25ejvKbJu4yCjlWqbE0qSJDWPhYS0g4ZGKpSr1fEiYqtiV45yNTE0UmlTMkmSpOazkJB2UO+iPIVcjtLY5JGH0liVQi7oXeTMQUmSNH81VEhExEkzXPvw3MWRsqM7X1tYPTBcGi8mSmNVBoZLrDigz92bJEnSvNboORLDwKqU0n9t0/5+4I0ppUc2J17LuWuTZmXyrk2JQi7ctUmSJDUi8w8KjRYSLwc+DfxlSunX9bZ3A28F/iql9IumpmwdCwntEM+RkCRJs7QwCgmAiHgrcBrwNODFwLuB56SUfta0dK1nISFJkqRWyHwh0fBq0JTSxyJiT+AXwE7Ac+dZESFJkiSpQdOOSETES6dozgEfAr4P/HBrY0rp601J13qOSEiSJKkVMj8iMVMh0ehpWiml1DV3kdrKQkKSJEmtMH8LiQXKzpAkSVIrZL6QcHsZSZIkSbPW6IF0L4uI5074/P0RMRgR/xURezQvniRJkqRO1OiIxDuBMYCIeCJwBnAmtalAZzYnmiRJkqRO1ej2r48Brqu/Pg64KKX0kYi4FFjXlGSSJEmSOlajIxJloLv++mj+tPXrXUDvHGeSJEmS1OEaLSR+DvxjRJwMPB24pN6+N3B7M4JJkiRJ6lyNFhKnAwcDnwb+KaX0h3r784HLm5BLkiRJUgd7SOdIRMTOQCWlNDp3kdrKcyQkSZLUCpk/R8ID6SazMyRJktQKmS8kpt21qb4j00kppXvqr6eVUlo+58kkSZIkdayZtn+9FahOeC1JkiRJgFObtmVnSJIkqRUyP7Wp0V2bphURz5yLIJIkSZKyo6FCIiIeFhGLt2k7rL524gdNSSZJkiSpY81YSETEoyLip8A9wD0R8ZGI6I6Ic4BfAPcDz2hBTkmSJEkdZKbF1gD/DPQCpwInAW+hdrL1H4EnpJSua248SZIkSZ1oxsXWEXEz8JKU0k8j4lHALcD7U0rva1G+VnOxtSRJkloh84utt1dIVIC9Ukq31z+/D3hySunaFuVrNQsJSZIktULmC4ntLbbOAZUJn1eBB5oXR5IkSVIWbG9Eogr8GCjVm54JXM42xcQ8OtnaEQlJkiS1QuZHJLa32PrcbT7/WrOCSJIkScoOT7aezM6QJElSK2R+ROIhn2wtSZIkaeGxkJAkSZI0axYS6gijlSqD95YYrVTbHUWSJEkN2N5ia6mpqilx8dUDrNs4SLlapZDLseKAPlYd1E8uMj91UJIkad6ykFBbXXz1ABdu2ER/T5FiV4HSWJULN2wC4PiDd21zOkmSJE3HqU1qm9FKlXUbB+tFRO1HsdiVo7+nyLqNg05zkiRJ6mAWEmqboZEK5Wp1vIjYqtiVo1xNDI1UpvlKSZIktZuFhNqmd1GeQi5HaWzyyENprEohF/QucuadJElSp7KQUNt052sLqweGS+PFRGmsysBwiRUH9NGd98dTkiSpU3my9WR2RotN3rUpUciFuzZJkqSFIPMPOhYSk9kZbTJaqTI0UqF3Ud6RCEmStBBYSMwzdoYkSZJaIfOFhG/9SpIkSZo1CwlJkiRJs2YhIUmSJGnWLCQkSZIkzZqFhCRJkqRZs5CQJEmSNGsWEpIkSZJmzUJCkiRJ0qxZSEiSJEmaNQsJSZIkSbNmISFJkiRp1iwkJEmSJM2ahYQkSZKkWbOQkCRJkjRrLS0kIuKYiLguIn4XEW+f4npExKfr1zdExGHb+9qIeGREfD8irq//+Yh6+5KIuCwi7o2If2/NdyhJkiTNjU5/dm5ZIRERXcBngBXAgcBLIuLAbW5bAexX/3g9cFYDX/t2YH1KaT9gff1zgBHgH4G3NOt7kiRJkpohC8/OrRyROBz4XUrpxpRSCfgGcPw29xwPfCXVXA7sEhG7b+drjwfOrb8+FzgBIKV0X0rpp9Q6RZIkScqSjn92bmUhsQdw84TPb6m3NXLPTF+7a0rpdoD6n/1zmFmSJElqh45/ds7v6BfugJiiLTV4TyNf+5BdddVV3H333XP910qSJEmTHH300du7peOfnVtZSNwC7DXh8z2B2xq8pzjD194REbunlG6vD+UM7GjAQw89dEe/VJIkSZpLHf/s3MqpTVcA+0XE3hFRBF4MrNnmnjXAyfUV6E8F7qkPucz0tWuAV9RfvwK4qNnfSCcarVQZvLfEaKXa7iiSJEl66Dr+2bllIxIppUpEvBH4HtAFfDGldE1EnFK//jngu8Bzgd8B9wOvmulr63/1vwDnR8RrgD8CJ23934yIPwC9QDEiTgCWp5Subfb32krVlLj46gHWbRykXK1SyOVYcUAfqw7qJxdTjWpJkiSp02Xh2TlSmvPpUlmWuc646Nd3cOGGTfT3FCl25SiNVRkYLnHiIbtx/MG7tjueJEmSppb5d3w92TrDRitV1m0cHC8iAIpdOfp7iqzbOOg0J0mSJDWNhUSGDY1UKFer40XEVsWuHOVqYmik0qZkkiRJmu8sJDKsd1GeQq42nWmi0liVQi7oXdTKTbkkSZK0kFhIZFh3vrawemC4NF5MbF0jseKAPrrz/t8rSZKk5nCxdcbt84H/ygEvorbivgCUgQuA/7zxH492kYQkSZKawkJCkiRJ0qw590WSJEnSrFlISJIkSZo1CwlJkiRJs2YhIUmSJGnWLCQkSZIkzdqCLSQiYq+IuCwiNkbENRFxar39fRFxa0RcVf94bruzTiUiFkXELyLiV/X8/1Rvf2REfD8irq//+Yh2Z93WDNkz0fdbRURXRPwyIr5T/7zj+36iKfJnpv8j4g8R8et6zv+tt2Wm/6fJn4n+j4hdImJ1RPym/vvziIz1/VT5s9L3j5+Q8aqIGIqI07LS/zPkz0T/A0TEm+v/bl0dEefV/z3LRP/DtPkz0f8RcWo99zURcVq9LUt9P1X+TPT9TBbs9q8RsTuwe0rp/yKiB7gSOAF4IXBvSunMdubbnogIYOeU0r0RUQB+CpwKnAjcmVL6l4h4O/CIlNIZ7cy6rRmyH0MG+n6riDgdeBLQm1I6NiI+Sof3/URT5H8fGen/iPgD8KSU0uYJbZnp/2nyv48M9H9EnAv8JKV0dkQUgZ2Ad5Kdvp8q/2lkoO8niogu4FbgKcDfkZH+32qb/K8iA/0fEXtQ+/fqwJTSAxFxPvBd4EAy0P8z5H8sHd7/EXEQ8A3gcKAEXAL8DfA6stH30+V/GR3e99uzYEckUkq3p5T+r/56GNgI7NHeVI1LNffWPy3UPxJwPHBuvf1casVRR5khe2ZExJ7ASuDsCc0d3/dbTZM/6zLT/1kVEb3AUcA5ACmlUkrpbjLS9zPkz6JlwA0ppZvISP9vY2L+LMkDiyMiT60IvY1s9f9U+bPgAODylNL9KaUK8CPgeWSn76fLn3kLtpCYKCIeCzwR+Hm96Y0RsSEivtjhw2RdEXEVMAB8P6X0c2DXlNLtUCuWgP42RpzWNNkhI30PfBJ4GzDx9PBM9H3dJ3lwfshO/yfg0oi4MiJeX2/LUv9PlR86v//3AQaBL0VtWtzZEbEz2en76fJD5/f9tl4MnFd/nZX+n2hifshA/6eUbgXOBP4I3A7ck1K6lIz0/wz5ofP7/2rgqIhYEhE7Ac8F9iIjfc/0+aHz+35GC76QiIiHAd8ETkspDQFnAfsCh1L7D+1f25duZimlsZTSocCewOH1obNMmCZ7Jvo+Io4FBlJKV7Y7y46YIX8m+r/uyJTSYcAK4O8i4qh2B5qlqfJnof/zwGHAWSmlJwL3AW9vb6RZmS5/Fvp+XH1K1nHABe3OsiOmyJ+J/q8/5B0P7A08Ctg5Il7e3lSNmyF/x/d/Smkj8BHg+9SmBf0KqLQ11CzMkL/j+357FnQhUZ+f/03gP1JKFwKklO6oP+RWgS9Qm8/W0epD8/9FbY3BHfX1H1vXgQy0L9n2Tcyeob4/EjiuPs/9G8CzIuJrZKfvp8yfof4npXRb/c8B4FvUsmal/6fMn5H+vwW4ZcII4mpqD+ZZ6fsp82ek7ydaAfxfSumO+udZ6f+tJuXPUP8/G/h9SmkwpVQGLgSeRnb6f8r8Wen/lNI5KaXDUkpHAXcC15Odvp8yf1b6fiYLtpCoL/g9B9iYUvr4hPbdJ9z2PGrDUR0nIvoiYpf668XUfkH8BlgDvKJ+2yuAi9oScAbTZc9K36eU3pFS2jOl9Fhqw/M/TCm9nAz0PUyfPyv9HxE71zdIoD4tZTm1rJno/+nyZ6H/U0qbgJsj4vH1pmXAtWSk76fLn4W+38ZLmDwtKBP9P8Gk/Bnq/z8CT42InerPEMuora/MSv9PmT8r/R8R/fU/H01tY5nzyE7fT5k/K30/k4W8a9PTgZ8Av+ZP88TfSe0X3KHU5jD/AXjD1vl3nSQiDqG2sKiLWkF4fkrp/RGxBDgfeDS1XxonpZTubF/SB5sh+1fJQN9PFBFHA29JtV2POr7vt7VN/kz0f0TsQ+1dfKhNVfl6SulDWen/GfJnpf8PpbZIvwjcSG3HnRwZ6HuYNv+nyUDfA9TnV98M7JNSuqfelomffZg2fyZ+9gGitl35i6hNS/kl8FrgYWSn/6fKfzYZ6P+I+AmwBCgDp6eU1mfsZ3+q/Jn52Z/Ogi0kJEmSJO24BTu1SZIkSdKOs5CQJEmSNGsWEpIkSZJmzUJCkiRJ0qxZSEiSJEmaNQsJSZIkSbNmISFJepCI2C0iRiJiU0QU2p1HktR5LCQkSVN5NbAW2AIc3+YskqQOZCEhSZokInLA66idQH8u8Pptri+JiAsi4r6IuCMiPhAR50bED7a5700R8Zv6yMb1EfGuiMi37juRJDWThYQkaVvLgZ2B7wJfBY6OiH0mXP8S8OfAscCzgD2BEyb+BRHxPuAtwDuAA4BTgTcA721udElSq0RKqd0ZJEkdJCK+BfwhpfTm+uffBa5KKb0zIvYDfgs8O6W0vn69ANwIXJdSenZE7ARsBk5MKV0y4e89Gfh0SmmX1n5HkqRmcIhZkjQuInanNtLw5AnNXwY+FRHvAQ6st12+9WJKqRwR/wv01JueACwGvhkRE9+t6gIWRURfSmmwSd+CJKlFLCQkSRO9htq/Df8bERPbu4DjgLH65zMNZ2+dNnsStdGLbd35EDNKkjqAhYQkCRhfZP1a4MPAedtcPoPaous31T8/Atg6tSkP/AV/KhquAUaAfVJK321ybElSm1hISJK2OgZ4NPD5lNIfJ16IiC8B3wfKwMXAZyLiDcAg8A9AL/VRipTSvRHxYeDD9VGN71P79+Zg4IkppTNa8+1IkprJxdaSJAAi4iKgP6V0xBTXuoBbgbOBTwCfB54L3At8jtrOTItSSqsmfM1rqI1g/BnwALURiy+nlM5q8rciSWoBCwlJ0kNSLzJ+A6xJKf1Du/NIklrDqU2SpFmJiKOAfuCX1HZqejPwWGq7O0mSFggLCUnSbHUB7wYeR23NxNXAM1NKv25rKklSSzm1SZIkSdKs5bZ/iyRJkiRNZiEhSZIkadYsJCRJkiTNmoWEJEmSpFmzkJAkSZI0axYSkiRJkmbt/wPYKLgUYCCkSAAAAABJRU5ErkJggg==\n",
"text/plain": [
"<Figure size 864x576 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"red = \"#c51d35\"\n",
"blue = \"#2182BF\"\n",
"fig, ax = plt.subplots(figsize = (12,8))\n",
"ax.scatter(data2.age, data2.risk, \n",
" alpha=0.6, s=40, marker='o', color=red)\n",
"ax.scatter(data2.age, data2.vaxrisk, \n",
" alpha=0.6, s=40, marker='o', color=blue)\n",
"ax.set_xlabel(\"Age\", fontsize='x-large')\n",
"ax.set_xlim((25, 95))\n",
"ax.set_ylabel(\"Risk of catching and dying from Covid (log scale)\",\n",
" fontsize='x-large')\n",
"ax.set_ylim((0.00008, 4))\n",
"ax.set_yscale('log')\n",
"ax.grid(axis=\"y\", color=\"black\", alpha=.5, linewidth=.5)\n",
"ax.tick_params(bottom=False, top=False, left=False, right=False)\n",
"ax.tick_params(labelbottom=True, labeltop=True, labelleft=True, labelright=True)\n",
"ax.tick_params(axis='y', which='minor', left=False, right=False)\n",
"from matplotlib.ticker import MultipleLocator, FixedFormatter, FixedLocator\n",
"ax.xaxis.set_major_locator(MultipleLocator(base=5))\n",
"ax.yaxis.set_major_locator(FixedLocator([0.0001, 0.001, 0.01, 0.1, 1]))\n",
"ax.yaxis.set_major_formatter(FixedFormatter([0.0001, 0.001, 0.01, 0.1, \"1%\"]))\n",
"ax.spines[\"top\"].set_visible(False)\n",
"ax.spines[\"bottom\"].set_visible(False)\n",
"ax.spines[\"right\"].set_visible(False)\n",
"ax.spines[\"left\"].set_visible(False)\n",
"d50 = data2[data2.age==50][['age', 'risk']].values[0] # age, risk\n",
"d80 = data2[data2.age==80][['age', 'vaxrisk']].values[0] # age, vaxrisk\n",
"import matplotlib.patches as patches\n",
"p1 = patches.FancyArrowPatch(d50, d80, \n",
" arrowstyle='<->', \n",
" mutation_scale=20, \n",
" linewidth=2, \n",
" linestyle='--')\n",
"ax.add_patch(p1)"
]
},
{
"cell_type": "code",
"execution_count": 62,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x576 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"red = \"#c51d35\"\n",
"blue = \"#2182BF\"\n",
"fig, ax = plt.subplots(figsize = (12,8))\n",
"ax.set_xlabel(\"Age\", fontsize='x-large')\n",
"ax.set_xlim((25, 95))\n",
"ax.set_ylabel(\"Risk of catching and dying from Covid (log scale)\",\n",
" fontsize='x-large')\n",
"ax.set_ylim((0.00008, 4))\n",
"ax.set_yscale('log')\n",
"ax.grid(axis=\"y\", color=\"black\", alpha=.5, linewidth=.5)\n",
"ax.tick_params(bottom=False, top=False, left=False, right=False)\n",
"ax.tick_params(labelbottom=True, labeltop=True, labelleft=True, labelright=True)\n",
"ax.tick_params(axis='y', which='minor', left=False, right=False)\n",
"from matplotlib.ticker import MultipleLocator, FixedFormatter, FixedLocator\n",
"ax.xaxis.set_major_locator(MultipleLocator(base=5))\n",
"ax.yaxis.set_major_locator(FixedLocator([0.0001, 0.001, 0.01, 0.1, 1]))\n",
"ax.yaxis.set_major_formatter(FixedFormatter([0.0001, 0.001, 0.01, 0.1, \"1%\"]))\n",
"ax.spines[\"top\"].set_visible(False)\n",
"ax.spines[\"bottom\"].set_visible(False)\n",
"ax.spines[\"right\"].set_visible(False)\n",
"ax.spines[\"left\"].set_visible(False)\n",
"d50 = data2[data2.age==50][['age', 'risk']].values[0] # age, risk\n",
"d80 = data2[data2.age==80][['age', 'vaxrisk']].values[0] # age, vaxrisk\n",
"import matplotlib.patches as patches\n",
"p1 = patches.FancyArrowPatch(d50, d80, \n",
" arrowstyle='<->', \n",
" mutation_scale=20, \n",
" linewidth=2, \n",
" linestyle='--')\n",
"ax.add_patch(p1)\n",
"ax.scatter(data2.age, data2.risk, \n",
" alpha=0.6, s=40, marker='o', color=red)\n",
"# ax.scatter(data2.age, data2.vaxrisk, \n",
"# alpha=0.6, s=40, marker='o', color=blue)\n",
"for idx, s in data2.iterrows():\n",
" p = patches.FancyArrowPatch((s.age, s.risk), (s.age, s.vaxrisk), \n",
" color=blue, \n",
" arrowstyle=\"-|>\", \n",
" mutation_scale=20, \n",
" linewidth=2)\n",
" ax.add_patch(p)\n",
" ax.set_title(\n",
"\"\"\"\n",
"Vaccines have made Covid far less lethal. A fully vaccinated 80 year old\n",
"has the same risk as an unvaccinated 50 year old.\n",
"\"\"\", \n",
" loc=\"left\", \n",
" fontsize=\"xx-large\"\n",
");"
]
},
{
"cell_type": "code",
"execution_count": 61,
"metadata": {},
"outputs": [
{
"data": {
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aNamNcwonGtetQf8Rk1i1YbvWl76d+47wIfAjTevX1Psa7/zfM2rSbIoVzsehrUs1798yxQtTrWGHOJOsooXzkTqVC70HjyNntsw0a/D1+sj4tEOUEt75mTtlpGE76Bv/O3+F6fOWMePPP+jWvplmefMGvmQvWo3hf85gxbxJfAj8yLFT55gwvK/mS863DCkTH+u37GbLzgNsXz2XGpXLapbXrlGRQuXrMXXOEkYP7k3FssVZumYzp85e0tqX0T149JTNy2dRq3oFADq1bkyekjWZt3StVoJ1bMcKrXMkQNFC+WjVdQBnzl3Gu1De765XlDPnLnP77kPGD/0dgLTuqSlZtCBLV2+JM8HKnSMruXNkpXmnfmRI76633gkhS6YMFCucj6VrNmslWFHDG6N/QdYlPsfa+KF9Yuz/Fg1rkauED3+v2KBJnB49ecbAUVMo4V2A/ZsWaw1Dj/7ZY8hnWWxu3LrHuYMbNOflNk3rkS53GeYtWaOVYBny2Zo7R1a8C+bl7xUbqFimGGVKFNF6LUPPlTf+ucvC5etpUKsqaxdN0zw/R9ZMdPl9hEEJVj3fKvzxexcmz15MgbJ1NMvbNa/P3CkjtMq+eOVHrmxZYmwjqrfr+cvXsb5W6yZ1GDd1HivWb9O0H6h7b1UqFa2+nNNUKhXte/1B7uxeHN+1UnNe7dK2KXVadGP4hJl0aNUQRwd7kidz5PmN41o/PHbv0JzWXQcyedYiBvbuEGPYZzr31OxcOx+FQhFrvEqlkl6Dx5ImdUpO71ur+eGwZaPaZCtalZ6DxnD+kP6ZAP+cvoCXr96wa+18TeLZpW0Tmd1R/PRkiKAOLRr58trvrdaQsxXrtqFSqWjZ6OsXsqgPgIiICAI+BPL2nT9lSxYhMjKSi1e/DjFct2U36dzdNL+KRhd1crp87R/u3n9E17ZNtJKrb8vFpn3zBpqTKEDZkuoPnPsPn2iWrdm0i4J5c5LOPTVv3/lr/hUtlA9raysOfhme4Oigvg5h+57DhIXF/1d8gOYNfTXJCUD+PDlwsLfj/sOnmmWWlhaaL79hYWH4vw/gnf97KpQuxu27D7WGEjWt58PZi1e16rN28y6USiVN6/vEu47xjb94EfUvoz5VymqSq+jLo8++Z2i9Xvu95fyl6zSqU12TXAGkSumiVSeAgA+B7Dl4nLo+lQgLD9OqW+VyJVCpVBz6ZghmdIEfgwBwiKMnNEpERAS7DhyjXClvTXIF6usrenVuSUhIKPu+DI1M45aS0sULsWbTLq0vWqs27CCZowPVKpbS+zr7D58iNDSMbu2bab1/q1YsTbYsGQ2KVZ/4vL+idGnb5F+/3trNu7CwMKd29Ypa7WNlZUGh/Lk4eEzdPtZWllhYmHPk5Fne+b/XuS1DysTHms27cHdLhXfBPFqxpU2TCk+PtBw8qv+9863UqVw0yVWUMsULax3b8PUcGRkZyYfAj+pfo4upeznOXbr2nTXStmztFpInc9R6rzWt58OZ85f1DolLKm2a1uX23YdaQ6S+/YKsT3yOtehJyqdPQbzzf49Tcke8MmXg3MWv+3/T9v0olUqG9+8e4xrf6J89hnyWxaZIgTxaP3pZWVlStFBe7j/S/b6J67NVn/icK7d/GYrc65uREW2b1dN8DsZFoVCQzt2N0sUKMXfKCDYvn0W/Hu1YtnYLzTr21Wqn4OAQnSMoovZ7cEhorK+VOaMHJbwLsHT1Zq3ly9ZuxbtgXrwyq3vyrt28zc3b92hSr4ZmH0b9q1ahNJ8/B2uGQZqammpiUiqVvA/4wNt3/pQv7c3HT0Hc1nH8dGrdyKA2P3/pOi9fvaFjq4ZaozLc06SiSV0fLly+wYtYksrtew/jlTmDVq+emZkZPTpIgiV+btKDpUOz+jUZOHIKy9Zu1RzUy9duJU3qlFq/su05cIyRE2dz/vL1GNddvQ8I1Px998FjypX0jvVXybv31V/Oc+fw+tdxp0+rPWwvahie//uv3fe37j4gODgEl8y6hxdFTRZQunhhGtSqyqhJs5k6dwklvQtSpXxJmtSrgXO0oULxiScqpujxqFQqps9dytwla7hz71GMX0HffwjU9Bg2qefDsPEzWLVhu6YnbdWGHWTO6KHVy2ZoHeMbf9TF798Oj4z60PAPiH+9Hj5WX9filSlDjNf/dlnUdibNXMSkmYt0xuz3Rn/dHOzVyaKhY9ffvPUnKOizziQnu5d6yEtU/ABN6vrQvtcQTpy5QMmiBQkM/MTO/Udo3sA31oveHz1VD8HSuQ8yZ+DS1X8MileX+Ly/omT4jtnIbt19QFhYOO45dSeUUecACwsLJgzvy+9DJ5AqawkK5ctFhdJFaVKvBlm/7G9DysQrtjsPePbild7jIsIj5jV5+qR3j9mrqD62A7SWnb1wlcGjp3LifxcI+eaLoyHXRhkqLCyMtZt3U76UNy9e+WmWF8qfC1NTU5at3cLowb0T7PW+V4NaVek5aCxL12ymSME8gHp4Y/QvyLEx9Fh7+cqPASMns31PzGvRnFMk1/x998EjIO7PH0M+y2Kj7zPh6o3bWssM/WzVJz7nyqhrC70ya59/LCwsyJDesHPB1NlLGDFhJrfP7iGlqzMAtapXIH1aN7r2HUmDWlWpXUM95b+1tZXOocdRx4e1AZNYtW5Sh7Y9BnP2wlUKF8jN6bOXuHv/EX2i9ZbduvMAUPfk9RgwWud2on8Wrli3lcmzFnPt5h0iIiK0yuna54bum6ghtro/R9TLHj5+hlvqlHqfX0nHkFlDjhMhkpIkWDq4pU5JhdLF2Lr7IB8/fuLW3QfcuvtAa+jGmXOXqd6oI0UK5GHGn0Nwd0uFpYUFz1++plXXATEuojXkl574lNMl+jCo6KJ/qYyMjKRooXyMHNhDZ9nkyRw0caxdNI1+Pdqxa/9RDhw9zW9DxjNy4iwObF5C3lzZ4o7HRE88fI1n0oy/6Td8Ik3r+zD4t064pHDCzMyMXfuPMnXOEq39mMkzPYXz52bVhh380bcrj5484/S5Swzrpz0+3NA6/tv4TU11f7mIvp8NrVfUcwxp96jndGrdiLo+lXWW8YzlS7K9vR3ubqm4cv223jK66IpNV9z1fCvTrf9IVm3YTsmiBdm0Yx8hIaE0qaf7gvzYtpVQ4vP+ivLttRHxERkZiY2NNVtXxH2fvJ6dWlK7RkW27T7EwWOnmTp3CeOmzWf+1JG0blrX4DIGx6aKxNMjLfP0DH805ItdFH3HQHSPnjyjrG8LPNKmYcLwvnikS4O1lRURERFUqd8uQafq377nMP7vA9iwbS8btu2NsX7Fuu2MGtTrX73HYnvOt19EDWVvb0e9mpVZs2kXU8cM4vK1f7h992GM4WT6GHKsRUZGUqluW56/fE3vzi3JkTUzdrY2mJiY0GvQWJ3735Dd832fUfrOnV//ju9nqy7xOVdGvfb31Gva3KUUK5xPk1xFqetTma59R3Ls1DlNguWWylXrR4AoUcu+nShDlwa1qtJj4BiWrtlM4QK5WbZ2C1ZWljSsXU1TJqp9h/fvrhll8a0cX64NW79lN8079aNqhVJ0b9+MVCldsDA35+LVG/QfPkn3edIqfudJQz9HDH2uED87SbD0aNHIl32HT7Bh214uXVP/gh41eyB8HQp0cMsSrS9kumZ/yuyZnuv/3CUyMlLvL3+ZM6ovfL964zb1fGNee5NQMmVIT8CHQCqUKWZQ+QJ5c1Igb07+6NuVqzduUaBsXSb8tZBVCyYnSDyrNu6gdPHCrJg3SWu5vmF8Tev70HPgGC5dvcnuA8cAYnyBj28dE4Oh9Yr6kL9190GMbXw7LCNjhnQoFAoUCsW/rlut6hWYuWAFh46djnOSBBdnJ2xtbbh5+16MdVG/jnqk+9qToR6eVJr1W/fw1/ghrNqwA3e3VHHe8Deqx+jW3Qfky51da93tu983tCu+76/vlckzPXsPnSBX9iwxvmzpks7djW7tm9GtfTPeB3ygaOWGDB4zVSt5MqSMQbFlSM+xU+coU6Kw1lBMXRLiC83WXQf5/DmYnWvnad2j6LaO9/r3WrpmM2lSp2TmhKEx1l25fovhf87gyIn/GTy5S3RRP8h8+yt+SEgoL3XMamqo1k3qsHT1ZrbvOcSh42difEGOjSHH2rWbd7j+zx0WzxxHqyZ1tJ7vHxCg1YOV2dMDUH/+xHZeMOSz7HvF57NV39s0PufKqJ6YW3ceULRwPs3ysLAwHj5+ZtCPia/83pBVR4+KUqlOwMOj3fC6QJ4cbNtziJCQUK3hmP+7oB4uWiBvzjhfz87Olvo1q7Bm0y7GD+3D2s27qVWtgtYQvEye6QCwtraMcx+s2riDDOnd2bFmnla73n/0JJZnGSbqM+Lm7XvU8amktS7qcy/654iu5+saopgY5xEhEpJcg6VH7eoVsbezZdHKjazZtJOC+XJqzQRkamqKQqHQ+gUzIiKCiTNj3mCxQa2qPH76nPlL18ZYF/ULTt5c2cic0YNZf6/i+YuY45ENneQiLo3rVuefO/d1TlMdERGhGeLzPuBDjNfMliUj1laWOu9M/2+ZmprE+HXszVt//l6xQWf5hrWrYWpqyqoN21m9cSeF8uciyzdDywytY2IytF4pXZ0pkDcHazbt1JqC/tXrN5qpsqO4ODtRvlRRlq7ZonW9V5TAwE9xznrXr3s7kjk60K7nkBjTboP6+oDeg8Z+qYMpVcuX5NCxM1q3LQgPD2f6vGVYWlrEGLrRtJ4P7/wDWL52K4eOn6Fx3epxfhGrWLYYlpYWzFywAmW0LyK79x/lnzv3Y31uXOL7/vpejeuop3UfOu4vnevfvPUH1PeNCQ4O0VqXPJkjHmnTaL7IG1ImXrHVrc7HT0FM+GthjHUqlYq37/w1j+2+XAPzPcP4onrUv+0pGT9tgUHP//w5mFt37mvFpcubt/7sOXgC32rlqVW9Qox/v3drg5WVJcvWbP1X9fBI646ZmVmM6xv/mr/sX/dgAZQqVoiMGdKxYNl6nV+Q4xLXsWb65e9v3/9LV2/m5SvtxLCOT0VMTU0ZMWFWjHNI9M8BQz7Lvld8PlvtbNXDnr89HuJzrqxRqQyg7oWK7u8VG/gQ+NGgmLNm9uTE/y7EOKcuX6d+zxWMljQ1rF2Nz5+DWbh8vWZZZGQksxauwjlFcsoZ+CNAm2Z18X8fQIfeQ3kf8CHGtXv58+TAK3MGps9bpvMYijoXwdfRGt9eK/bXvO+f6bNgvpykTuXC/KXrNLcPAHjx8jUrN2wnf54ceocHAtSoVJbbdx+ye/9RzTKlUslfOqb3F+JnIj1YekRNx774yz01/vi9i9Z632rlmTJ7MeVqtaRlo9oEB4ewdssuncMu+nRtw+adB+jcZ/iXqWwLEBYWzqmzF8mXOzuDfuuEiYkJC6aNokr9duQpVZP2LRrgmT4tL175sWnHPraunJ0gd6rv07UNu/YfpVnHvuzYe4SiX2bxuvfgMRu372P04F60+vLL6owFK6hdXT19sVIZwZpNO/n4KSjG5Avfo3b1igwZM41GbXtTrqQ3L1+/Yd7SNaRNk1rrAyBKSldnKpRWT4n78VMQ08YO+td1TEzxqdfEEf2oWKcNRSs3pFPrRqhUMG/JGjw90nL5mvb1R3MmD6d41cbkK1OLds3qky1LRj4EfuT6rbts3L6P6ye3x/o+Seuemk3LZlC7eTdyFKtB03o+FMibAxOFCTdv32Pd1t28ffeeqV/269g/fuPA0dOUr9WKbu2a4uKsnqb9zPnLTBzRL8b1eDUql8XRwZ5eg8YSERER6+yBUVI4JWdQ744MGz+Dcr4tqe9bhecvXzP771XkzJaFj5+CDN3tMcT3/fW9insX4LcurZkyezE3b9/Dp0pZkjk48PjZC3YfOEbuHF4smTWeO/cfUbZmC+rVrEx2r0zY2dpw7PQ59h46QZsvPVOGlImPJvV82LLzAINHT+XU2UuUK+mNtbUlDx8/Y8uugzSpW4PhA7oDUChfLuYuXkO3fiOpWqEUZqZm+FQpG2NGuthUKV8SKytLqjVsT8eWjTA1NWH7nsO8M/AHjrMXr1K2ZguG9eumiUuXVRu2Ex4ejm/V8jrX29raUKF0MTZs38OsiUPjfUNUBwc7mtb3Yfbfq1CpVOTMlpnT5y5z/PR5rV6g+FIoFLRqXJs/xk4HiHNyi2/FdaxlzeJJ1sye9PnjTx4/fYFbalf+d/4KW3YdjDGU2COdO2OG9GLAiMkULFeXRnWq4ZwiOXfuPeLU2Uuc3qdOqAz5LPte8flsLZgvJwqFgnHT5hHwIRBrKyuKFMxNhvRpDT5X5syehdZN6rB41SY+B4dQtUJJbt6+z8r122Mdch3dkD6dadCmF96VGtK5dWNSpXRW3+Zg7VZyZM1Mozpf76fnW6085UsX5bch43ny7AWZPT1Yt2U3p89dYtGMsTEmGdGnZNGCZM7owZpNO3VO7W9iYsLiGeOoVK8N2YtWp22zenimT8tb//dcunqTrbsPEvrqOgC1a1Rg4/a9VGvQgTo+FfF//4ElqzdpEtjvYWZmxrQxg2jU7je8KzWgTdO6mmnaw8OVTB8X8zM8un492rFyw3bqtupBjw7NSZM6Jeu37iHoc/B3xyZEYpIEKxYtG9dm8apNmJub07iu9g1HSxYtyOoFUxgzZQ6/D/0Tp+SO1K9ZhfYtGpCzuPaQNWtrK45sW8aYKXNZv3UPG7fvI5mjPflzZ6d0tCEdpYsX5tSeNYycOIv5S9cR9Pmz+sRZphjOTv/+gzw6KytLDm5ZyuRZi1i9cSebduzDytKS9GndaFKvBuVKeWtiOX/5Ohu37+WV31tsrK3J7pWRTctmasaSJ4T+PdsTFhbO0jVb2LLrABnSuTOodyfsbG1o3W2gzuc0re/D3kMnMDU11TmkxtA6Jqb41KtsSW92rJ7LoNFTGTruL1K5utC1XRNcUjjRprv2h08mz/RcPLyZ0ZNns3H7Pl75vSV5MgeyZPRgWN+upHJ1IS5lS3pz49ROpsxezK79R1mxXj1DZoZ07jSsVY3uHb5OL545owen9qxh8JipzFy4kuCQELJlycjS2X/SolGtGNu2tLSgrk8lFq3cSHavTFrTSMdmaL9u2NrYMGPBCvoOm0DWzJ6sWjCZDdv2cuTEWYO2ocu/eX99r8mjB1AwX05mLVzJqEmziYxU4ZbKlRJFCtCxVUMA0qZJRfOGvhw6doa1m3cR+WX/TxzRjx4dmxtcJj6irqucs2g1i1ZuZMjYaZiampDWLTWVyhanQa2qmrLNG/py4coNNmzby+qNO1GpVDy8fDBeCVYmz/TsWD2PQaOmMGTsNGysraheqQyrFkzGNUv87uEVm2Vrt+Jgb0eZEoX1lvGtWp4dew+zace+fzUF+7Sxg1AqlSxfu5VIVSTlSnpzeNsyStf4vpnMWjWuw7DxM0id0iXWe1/pEtexZmZmxo418+g9eCwzFqwgXBmOd4G8HNq6lF5feqmj69+zAxk90jF1zhLGTp2HQqEgo0darR/UDP0s+x7x+WzNmCEdsyYOZdLMRbTv9QcREREsnjmODOnTxutcOW/qSFKldGHxqk0cOHqKfLmys3vdAgaMNGwofP1aVTmW0oWxU+Yyf9la3rx9T+qULnRp24SRA3toJU0KhYIty2cxZMw0lq/bxvuAD2TN7MnK+ZNoUi9+P162alybwaOn0ryhr86RAkUL5+PcgQ2MnjyHJas3884/ABfn5GTPkompY76e/5rWr4n/+w/MWLCCngPHkDqlC62b1KFY4fxUrNM6XjHp0qB2NezsbBkzeQ5Dx/+FqakJRQvmY92iaXHeqsHVJQXHdqjjmrFgBVaWltSpUZHuHZqRp2Ti3U5BiO+lUPnfTrgrjYUQQghhkJev/Eibqwx9u7dl3NA+SR2OMDIT/1pIv+ETufW/3TKrnhA/GbkGSwghhEgCf6/YQGRkJK0Teciy+PVERkayYPl6ihXOJ8mVED8hGSIohBBC/EDb9xzi3oMn/PnXAnyrlY8xUY8Q+vi9eceBo6fYc/A4d+8/YuKIvkkdkhBCBxkiKIQQQvxAHnnK8crvDSW9C7J09vhYZ1ETIrojJ/5H2ZotSOGUjK5tmzJCz/0ehRBJSxIsIYQQQgghhEggcg2WEEIIIYQQQiQQSbCEEEIIIYQQIoFIgvWNJas2oXDy4sCRU0kdSpyGj5+BwslL553qxfeJeh88evIsXs9r1XUACicvlEplIkUmjEGrrgPwyFMuqcP4br9KPYyJwsmL4eNnJHhZIYQQP44kWD+5B4+eMnz8DC5f+yepQxFC/GR+lvPDoyfPUDh56fzXrsfgGOWVSiWjJs4iQ95yWKXORdYiVZi5YAUqlVwSLIQQwvjJNO0/uQePnjJiwkw80qUhb65sSR3Of0bzhr40qlMdS0uLpA5FGKEF00YRGZn4ycLPdn7wrVaeejUray3LlCF9jHKd+wxn4fL1tG/RgML5c7Pv8Am69x+F//sAhvbr9qPCFUIIIRKFJFhCRPP5czA2NtaYmppiamqa1OEII2Vubp7UISSJnNky06yBb6xlrly/xcLl6+nduRVTxgwEoF2L+tRv1YOxU+fRvkUDUqdy/RHhJpiwsDA5ZwghhNCQIYJ6REREMHrSbNLmLI1V6lwUr9KIK9dvaZV5/PQ53fuPIkfR6tilzYdd2nyUqt6UvQePx9je5Wv/4NO4Eym9imGVOhfpcpWhXssePHn2Qm8MS1ZtomKd1gC07jZQM+Tm2zH3wSEh9B40FtcsRbFJk4eq9dvx+OnzGNt789afrn1HkDZnaSxS5sQjTzkGjpxMaGhYnPsjKOgz/YdPJGP+ClilzoVLZm+KVW7Eus27/tX+KOPTHPccpXj4+Ck1GnXEPl0+UnoV448x01CpVLzzf0/zTn1x8iyMQ7r8tO0+iJCQ0BjbuXL9FrWbdyVFxiJYpc5F7hI+LF65Mc76wNfrpZ4+e0mjtr1JnqEQOYpVB3Rfg/Xg0VOatO9DmhwlsUyVE7fsJajesEOM98W3/N68I1/pWqTKWpyrN2IvO2XWYkrXaIZrlqJYpspJpgIVGTbuL8LDw7XKGdIe+ixdvZnKddvilr0EFilzki5XGXoMGM3Hj5+0yh058T8UTl4sXLaeuYtXk6lARSxT5SRvKV8OHz8T5+uA+n4/rboOiLE86vrB6KLeE0+evaBWsy7Yp8uHk2dhOv02VOs9Wrt5V5w8CxMWFvN9O3LCTBROXty59xCAazdv07b7IDIXrIRNmjwk8yhIlXptOXfxqs54T5w5T7UG7XHyLIy1W268Clem96CxWmWUSiWTZy4iT8maWLvlxsmzMCWrNWHrrgOaMrquXfLIU44SVRtz7eZtyvm2wCZNHlJlLc6QMVNjDI0zpI0MOT/E55ifOnsJnvnKY5U6F/lK12LH3sM691FcgoNDCA4O0bt+7Zf3aM9OLbSW9+zUgtDQMLZE24+6eFdsQJZClXWua9V1ANZuuQn4EKhZ9vDxU1p07kdKr2JYpsqJV+HKTPxrIZGRkVrPNfTYizo37Np/lIEjJ+OeoxRWqXPz9PnLWOM+c+4yleq0wSFdfmzd81K8SiN27z8a63OivPZ7S5P2fXBMXwDH9AWo36oHL1/5GfRcIYQQP570YOkxZOw0FAoFv3VpTXBICJNmLqJWsy7cPb8PMzP1bjt38Rr7j5zEt2p5PD3S8iHwIyvWbaNaww4c2LyYsiW9AfWXnAq1W5HM0YHfurTC2Sk5L175se/wSZ49f0U6dzedMZQqVogBvTowftp8OrRsSMmiBQDInUP7i2mb7oNI7ujI0L5defn6DVNmL6ZZx74c37VKU+ad/3u8KzXg46cgOrRsQLo0bly4coOJM/7m2s077FgzL9b90aXvCFZv3Enn1o3Ild2LwI+fuHLjFqfPXaZB7Wrx2h9RgkNCqVC7NZXKFmfC8L5s3nGA0ZPnYGdnw9rNu8mWxZMxQ3px9OQ5Fq3cSEpXZ8b+8Zvm+af+d5GKdduQ0SMt/Xq0xd7Olu17DtOm+yDevntP3x7tDGlqqjZoT7Ysnoz9o7feZDM8PJxKddvwKegznVs3Jm2aVLx+845jp87xz+375MmZVefznjx7QcU6rQkLC+fErlVk8ow5XCq6iTP/pnK5EtSsUg4bGytOnLnA6MlzePLsJYtnjYtXe+jz1/zlZMqQjp4dW5Dc0ZGLV28wb8kart28zeFty2OUn7d0DR8/BdG+RX3MzcyZNncpvk278PjqYZInc4z1teIrOCSU8rVaUbpYISaO6Mfpc5eZt2QtLimcGDW4FwBN6/mwZecBdh84hm+1ClrPX71xJwXz5SRLpgwA7D14gis3btGwdlXSu6fh9Zu3/L1iA6V9mnPx8CayZsmoee7aTbto2vF30qROSde2TXBPk4oHj56ybstupo4dBEBkZCR1W3Zn2+5DVClfklaN66BQwPnL19l76ESMeL718vUbKtdrS8Na1WhQqyo79x1lzOS5ZEjnTtvm9TXlDGmjuM4P8Tnmx0yew5Ax0yhZtCC9OrXk+cvXNGnfh/Rp08Sr/abPW8aYyXMByOSZnl6dWtK1XVOtMucvXSelq3OMbRfOnxsTExMuXL4R62u0aVqXjr8N5fTZSxQtnE+z/PPnYDZu30utahVI5ugAwL0HjylauSF2tjZ0b98MF2cnjpw4S7/hE3n09DmzJg7TPN/QYy9Kv2ETsbGx4vdubQgPV2Jna6M35pNnLlC+tvrc37d7W6ytrFi8ahPVG3VkzcIpsR6zoaFhVKjdmn/u3KdT60Zky5KRPQePU61hh1j3kxBCiKQjCVYsTu1Zo0mmsmb2pG7L7uw7fJJqFUsDUK1iaer5VtF6Ts+OLclbypc/py/QJBSnzl7knX8Au9ctoFD+3Jqyf/TtGuvre3qkpXypooyfNp+ihfLqHXrj7paKzctnaR6nSJ6MPn+M5+ate2TPmkn9WmOn8z4gkCvHtpLWPbWmbI6smeg5cAwHjpyiQpliemPZtvsQ7VvUZ/r4IXrLGLo/ovi/D2Bo3y707NQSgHbN65M+T1kGjpxC786tmDxa3fPRuU0T7j96wrwlazUJlkqlon2vP8id3Yvju1Zq2qlL26bUadGN4RNm0qFVQxwd7PXGG6WEd37mThkZa5mbt+9z/+ET1i2aRv1aVTXLB/buqPc5t+8+oGKdNtjb2XJo1zLSuKWMM5Z75/dhG+2LWuc2TciSMQMjJ85i9OBemm0Y0h76HNuxQus1AIoWykerrgM4c+4y3oXyaq179fot/5zZhZ2dLQBlShSmQNk6rN64gy5ttb88fy//9wH88XtnenVuBUCn1o15H/CBeUvXahKsGpXL4mBvx6oNO7QSmotXbnDr7gOmfhl2BtC5TWN+795W6zU6tW5E9qLVmTZ3qabdP378RKc+w/D0SMvZA+s1X9ABxg3to/l71YbtbNt9iN+7tWHiyP5a2zVkgoYHj56yefksalWvoKlfnpI1mbd0rVaCZUgbxXV+MPSYf+f/nlGTZlOscD4ObV2qOZbKFC9MtYYdDEqyTExMKF+6KLWqVSB9WjdevPJj4fL1dOs3kkdPnmntqxev/EiTOuaxYGFhQQqnZDx/+TrW12pUpzq9Bo9l6ZrNWgnWph37+PTpM60a19Ys6zFgNPZ2tlw+uhUHBzsAOrZqROqULkybu5RenVqSOaMHYPixF8XU1IQTu1ZhYRH3dZq9h4zD1NSUU3vXaH5Qa9+yAblL1KTnoLHUrlFR77DShcvXc/2fO8yeNIzObZoA0LVdUxq17Z3kk5sIIYTQTYYI6tG+eQPNFw2AsiWLAHD/4RPNMhsba83fISGhvPN/z8dPnyhTojDnLl3XrIv6kr99z2Gdw5q+V+fWjbUea2J9pI5VpVKxdvNuKpUtjrW1JW/f+Wv+VSxTHICDx07H+hqODvb878IVnj7TPwzG0P0RxcTEhI6tGmkem5ubUzh/blQqFZ1aN9IqW7xwfvzfB/A+4AOgHvp18/Y9mtSrQcCHQK06VatQms+fgzlz7nKsdYrSpW2TOMs4fvlytufgcT59Coqz/MUrNylZvSmpUjpzbOcKg5IrQPMFLyIiQlOvsiWLEBkZycWrX3/ZN6Q94nqNyMhIPgR+5O07f0oVKwjAuUvXYpRv3tBXk1wB5M+TAwd7O+4/fBrv147Lt+8JgLIlvHnz1l8zPM7KypK6PpXYvvewVlus2rADU1NTGtWprlkW/Qvz58/BvPN/D6h7S6K/J/cfOUXAh0D692inlVxFxRRl3ZbdWFlZMkzHRAwKhSLO+qVO5aJJrqKUKV44xr6Mbxt9Kz7H/P7DpwgNDaNb+2Za57yqFUuTLVoPX2zSubtxYPMSurVvhk+VcnRs1Ygz+9ZRqlghpsxeonXeDA4JwVJPUmJlaUmwjqHA0Tk42FHXpxJrN+/WGja8dPUW0qROScWy6voFfAhkz8Hj1PWpRFh4mNY+qFyuBCqVikPRhroaeuxFadusnkHJ1Wu/t5y7eI3GdaprjVZwdLCnU+tGvHr9hnMX9bfp9j2HsLezpW2zelrLf+vSOs7XFkIIkTSkB0uP9Gm1h+1FDYXyf/9Bsyw8PJxRE2ezbO3WGNc8Rf+yVbp4YRrUqsqoSbOZOncJJb0LUqV8SZrUq4FzCqdEiNVBK9Y3b/3xfx/A2s27NNc/fMvvzbtYX2PiiL607DqA9HnKkjdXNsqX8qZh7WoUzJdLU8bQ/RHF1SUFVlaWWsuivtx+O2wyarn/+w8kT+bIrTsPAPUv1D0GjNZdp7ex1ylKhnTucZbxSOdOn65tmDxrESs3bKdY4XxUKluCpvV8tHoHolSo3YpUKV04tGWpVnISlz0HjjFy4mzOX74e49qP9wFfrysxpD30OXvhKoNHT+XE/y7EuK4tKoGN7tv3F6iPh+jHQkJxdUmBtbXVN6/1pe0DPmBvr050m9TzYfGqTWzeuZ/mDWt9SSh2Ua6kN6lSumieGxj4iSFjp7F+6x5evX6jtd0M6b+2+90Hj4CYw2+/dff+YzzTp41Xm0aX3j1mb5B6XwZoLYtvG30rPsf8oy/HqteXYZXReWXOwKWr/66XxNTUlN+7teHYqXMcPHqajBnSAWBtZUWonh+aQkJDsf7mnKBL6yZ1WLFuG9t2H6RB7Wo8f/GaQ8fP0K9HO01CfOfeI1QqFZNmLmLSzEU6txP9vGfosRcl+vsnNg8fq6/j1JWsZvdSL3v45BnFiuTX+fxHT5/jkS5NjGTOK3PM9hJCCPFzkARLD32zQUUfBtRr0FjmLFpN5zaNKeFdAKdkjpiamrJ41UZWbdihKadQKFi7aBr9erRj1/6jHDh6mt+GjGfkxFkc2Lzku6dXjivWqIu5a9eoSJc2untr3OKYtat+raqULl6Y7XsOceDoaRat3MTkWYsZ3r+bZlplQ/eHJm4T/R2opqa6132tk/r/4f27U1zPF5McX4ZHxuXbL/T6TBrVn3bN67F9z2EOHD3N8D9nMGrSbDYtnUHl8iW1yjaoVZW/V2xg6ZotMa5B0efMuctUb9SRIgXyMOPPIbi7pcLSwoLnL1/TqusArYvyDWkPXR49eUZZ3xZ4pE3DhOF98UiXBmsrKyIiIqhSv53OqcVNTfS8v4h7SJy+Tp2IiAidy2N7T0Q/9sqV8iZ1KhdWbdhB84a1OHryLM9evGLUoJ5az2nc/jcOHjtN786tyJ87O44O9piYmDBu2jydPXCG9EIZUkYffe/r6P5NG30rPsd81H79nnrpE5Wcv/3Scxj1utf+uROjbFhYGO/8A+I8FwGULemNR7o0LF2zhQa1q7Fi/VYiIyO1hgdG7YNOrRtR10f3pBieHmmB+B17UaytDDtvRNG1f6Pe0rHte5VKpXO9goRvLyGEEAlDEqzvsGrDDlo0qqV1oTTA3ys26CxfIG9OCuTNyR99u3L1xi0KlK3LhL8WsmrBZL2vkRBfelycnXCwtyMkJDTW66zi4uqSgrbN69O2eX0+fw6mWsMOjJw4m77d22FtbRXv/fE9Mnl++TXc2vK76hRfWbNkJGuWjPTt0Y6nz16Sr0wtRkyYFSPBmjN5OCqViu79R2FuZkaHVg3j3PbazbuwsDDn4JYlWkmfrlkYIe720GXrroN8/hzMzrXz8IjWc3f77gNDqh9vyZM56uxxefD4+4YXmpiY0Kh2dWYsWMGbt/6s2rADKytL6tSopCkT8CGQXfuPMqxfN4YP6K71/D/GTtd6nNnTA4CrN27H2guYOWN6Dhw9TVDQ5xjXSCWU+LSRvvNDfI75qB7cW3cfkC93dq11t+8+jG/4Wu49UA8NdHVOoVlWIG8O9h85yZNnL7R6qs9dvEZkZCQF8uaIc7sKhYJWjeswatJsXr1+w7I1W/EumBevzJ6aMhkzpEOhUKBQKOLcB/E99uLDI5261/Lm7Xsx1t360qYesVznliGdO6fOXiIsLEyrF+tWIh2zQgghvp9cg/UdTE1NYvyyefvugxjTDL8P+BDjAvhsWTJibWUZY2jQt6JmptI1RMXwOE1pUKsqew+d4MSZ8zHWh4SExpiiO7qIiAg+BH7UWmZjY03WzBm01hm6PxJC/jw58MqcgenzlvH2nX+M9W/exlz2PQIDP6FUKrWWpXVPjUsKJ/wDAmKUVygULJg+muYNfenUZxiLDEgyTU1NUSgUWr07ERERTJz5t1Y5Q9tD32sAMXpBxk9bEGd8/0Zmz/ScPndZa9ruR0+esWXXwe/edtP6PiiVSlau38bG7fvwqVxWM5EBqHvDFApFjPfkkRP/438Xrmgtq1imGMkcHfjzrwUx9l/0Y7dBraoEB4cwatLsGPEYMsmFIeLTRvrOD/E55iuWLYalpQUzF6zQeo/v3n+Uf+7cNyhmXeexkJBQxk6di5mZGZXKFdcsb/Blkpi/5mnPWPnX/OVYWJhTK46ZGKO0alKbyMhIeg8ex83b92jVpLbWehdnJ8qXKsrSNVu49+BxjOcHBn7SzBpq6LH3b6RK6ULBfDlZs3kXz56/0iz/+PET85asIVVKFwrl15/U16hclo+fgmL8UDVl9mKd5W/duR/r7T+EEEIkPunB+g61q1fk7xUbsLG2okCenDx4/JQ5i1aTLUtGLl29qSm3dPVmZixYQe3qFcnkmQ6lMoI1m3by8VMQTev7xPoaObJmwsbGmjmLV2Nna4O9nS05s2UmZ/Ys8Yp1/LA+HDt9jnK+rWjVuDb5cmcjJCSM2/cesH7rXjYu/YsyJYrofO7HT0GkyVGK2tUrkCdHVpySO3Lp2j8sXL6BcqW+XvNi6P5ICCYmJiyeMY5K9dqQvWh12jarh2f6tLz1f8+lqzfZuvsgoa9iTqzxbx06fobOvw+nXs3KeGXKgJmZKTv2HuHW3QeMHNhDf4wzxxEerqR9rz8wNzejecNael/Dt1p5psxeTLlaLWnZqDbBwSGs3bIrxhdtQ9tDlyrlS2JlZUm1hu3p2LIRpqYmbN9zmHdxJPr/Vuc2jVm3ZTcVareiaX0f3rx9z+xFq8iWxTPO6bjjUiBvTrwyZ2DouL90Hkv29naUL1WUCTMWEhwSQpaMGbj2zx0Wr9pIjqyZ+Rhtggx7eztmTxpGs459yVPSl5aNauHulopHT5+zZtNO7l9U/0jQpJ4Pqzfu5M/pC7h64zaVyhbH1NSUC1duYGNtxexJw7+rThC/Nort/GDoMZ/CKTmDendk2PgZlPNtSX3fKjx/+ZrZf68iZ7YsWvtJnz5D/uTJ8xcUL5yftGlS8/rNW5at3crd+48YPbiXVk9VvtzZadO0LlNmL+bjpyAK58/FvsMnWbdlN8P6dcNNxwyDuqRPm4ZypbxZs2knVlaWNNQx1fmcycMpXrUx+crUol2z+mTLkpEPgR+5fusuG7fv4/rJ7Xikczf42Pu3po4ZSIXarfGu1IDObRpjZWnJ4lWbePz0BWsWTon1xtTtmtdnzqLVdO8/mhu37pHdKyO7DxzXe9+tbN7VKF28MEe2x7zlghBCiB9DEqzvMHXMQKysLNm0Yx9L12wha2ZP5k0ZyT937mslFKWLF+b85ets3L6XV35vsbG2JrtXRjYtm0ntGhVjfQ07O1uWzf6TYeNn0LXfSMLDwxnWr1u8E6wUTsn53/71jJ0yl807D7B0zWbs7Wzx9EhLjw7NY72438baim7tmnLg6Gl27jtKaFgYadOkYmCvDvSLdq8pQ/dHQilaOB/nDmxg9OQ5LFm9mXf+Abg4Jyd7lkxaU3UnhDw5vahRqQx7D51g0cqNmJmakiWTBwunj6bNN7N7RWdiYsLyuROIiIigdbdBmJmZ0bhuDZ1lSxYtyOoFUxgzZQ6/D/0Tp+SO1K9ZhfYtGpCz+NfnGNoeumTyTM+O1fMYNGoKQ8ZOw8baiuqVyrBqwWRcsxT9dzsnFmVKFGH2pGFM+GshvQePI7OnBzP//IMbt+59d4IF6ntiDR33F8mTOVK1QqkY61fOn0SfP8azdM0Wgj4HkydHVrYsn83ydVs5cuKsVtnGdWuQytWZsVPmMW3uUsKVStK5p9bqUTExMWHLillMnrWYZWu20H/EJOxs1UnN793afHd9IH5tFNv5IT7H/NB+3bC1sWHGghX0HTaBrJk9WbVgMhu27Y2xn3SpVK4485euZf6ydfi//4CNtRX5cmdj/NA+1PGpFKP83CkjSOfuxuJVm1iyehMe6dIwfdxgundoHq991aZpXQ4ePa1176tv9+XFw5sZPXk2G7fv45XfW5IncyBLRg+G9e1KKlf1jxGGHnv/VgnvghzZtpw/xk5n/PT5REREki9XNnasmae57Yc+VlaWHNyyhF6DxrJszRYUCgUVyxRn97oFuGUvGetzhRBCJA2Fyv92wvxEJ4QQQvxA67fspkGbXuxZvzDGdZBCCCFEUpFrsIQQQhileUvXkjZNas29r4QQQoifgQwRFEIIYTSCgj6zfc9h/nfhCgePnmba2EFaN4MWQgghkpoMERRCCGE0Hj15Roa85XGwt6Nx3erMnDAUMzP5rVAIIcTPQxIsIYQQQgghhEggMq5CCCGEEEIIIRLIfzbBevrsJWVrNidbkarkKFqd6XOXAjB8/AzS5ChJ3lK+5C3ly679R5M4UsOFhIRSuEI98pSsSY6i1Rk27i9AfRPQirVbk7lgJSrWbs37gA9JHKlh9NXHmNsoSkREBPlK16JGo46A8bZRdN/WydjbySNPOXIV9yFvKV8KlqsDGH876aqTsbdTwIdA6rXsQdYiVchWpCqnz14y+nbSVSdjbqfbdx9o4s5byheHdPmZNmeJ0baTvvoYcxsBTJ29hBxFq5OzWA0at/uNkJBQo22jKLrqZOztNH3uUnIWq0GOotWZNmcJYPyfTbrqZOzt9J8dIvjylR8vX78hf54cfPz4iQLl6rJl+SzWbdmNna0Nv3dvm9QhxptKpSIo6DN2draEh4dTomoTpo8bzKYd+3BKnowBvTowftp83gd84M/hfZM63Djpq8+eg8eNto2iTJm1mPOXrxP48RM71syj37AJRtlG0X1bp+HjZxh1O3nkKcf5QxtwTuGkWWbs7aSrTsbeTi279Kekd0HatahPWFgYn4NDGDtlrlG3k646TZuz1KjbKUpERARpcpTif/vXMWvhSqNuJ9Cuz+KVm4y2jZ6/eE2Jao25eXoX1tZWNGjdk2oVS3Pz9j2jbSN9dXr05LnRttP1m3do1O43zh5Yj4WFOVXqt2POpOEsWLbOaNtJX51Wrt9utO0E/+EerNSpXMmfJwcA9vZ2ZMviyfOXr5M4qu+jUCiws7MFIDxcSbhSiUKhYOvug7RsVAuAlo1qsWXXgSSM0nD66mPsnj1/xc79R2jX/OsNio21jaLoqtOvyNjb6VcTGPiJY6fO0fbL+87CwoJkjg5G3U766vSrOHj0NBk90pI+bRqjbqco0etj7JTKCIJDQlAqlXwODsEtlavRt5GuOhmzf+7cx7tgHmxsrDEzM6N0sUJs3rnfqNtJX52M3X82wYru0ZNnXLr6D0UK5AFg5sKV5C7hQ5tuA42umzUiIoK8pXxx9SpGxTLFKFIwD6/93pH6y0kldSpX/N74J3GUhtNVHzDuNuo1aCwThvfVmlramNsIdNcJjLudFAqoVLctBcrWYf6StYDxt5OuOoHxttODx09xcXaidbeB5Ctdi3Y9BhMU9Nmo20lfncB42ym6NZt20rhuDcD4jyfQrg8YbxulcUvJ793akC53WVJnK4Gjgx2VypUw6jbSVycw3nbKmS0Lx06f553/ez5/DmbX/mM8ff7KqNtJX53AeNsJJMHi06cg6rbswbSxg3BwsKNzm8bcv7ify8e2kjqVK32GjE/qEOPF1NSUy8e28uz6Uc5evMr1m3eSOqTvoqs+xtxGO/YextXFiQJ5cyZ1KAlGX52MuZ0ATu5ezcUjm9m9bgGz/l7JsVPnkjqk76arTsbcTkqlkotXbtK5dWMuHd2CrY0146fNT+qwvou+OhlzO0UJCwtj255D1PetktShJIhv62PMbfQ+4ANbdx/k4aWDvLh5nKDPwaxYtzWpw/ou+upkzO2UzSsj/Xu0o2KdNlSp3448Ob0wMzVN6rC+i746GXM7wX88wQoPD6duyx40redDHZ9KAKR0dcbU1BQTExPat6jP2YvXkjjKfyeZowNlihdhz8HjpHRNwctXfoD62jNXF6c4nv3z0a6P8bbRyf9dZNvuQ3jkKUejdr9x6PgZmnX83ajbSH+djLedANxSpwTA1SUFtatX5OyFq0bdTqCvTsbbTu5uqXB3S6Xp2a7nW4WLV28adTvpr5PxtlOU3QeOkT93DlK6OgMYdTuBrvoYbxsdOHKKDOnccXF2wtzcnDo1KnHq7CWjbiP9dTLedgJo27w+F49s5thO9TWMmTOmN+p2An11Mu52+s8mWCqVirY9BpMtiye/dW2tWR71BgXYvOMAObNlTorw/pU3b/0J+BAIQHBwCAeOniJrFk9qVinH0jVbAFi6Zgu+VcsnYZSG01cfY26jcUP78OzGMR5dOcSahVMoV9KbFfMmGW0bgf46GXM7BQV95uPHT5q/9x0+Sc5smY26nfTVyZjbKVVKF9KmScXtuw8A9fUw2b0yGnU76auTMbdTlNUbd9K4bnXNY2NuJ4hZH2Nuo3Tubpw5f4XPn4NRqVQcPHaabFmM+1jSVydjbicAvzfvAHjy7AWbduyjcd0aRt1OoLtOxt5OZkkdQFI5+b8LLF+7lVzZs5C3lC8AY//4jdUbd3D52i0UCvBIl4Z5U0YmcaSGe/naj5ZdBhAREUFkpIoGtapQo3JZihbKS4M2vfh7xQbSuadm/eLpSR2qQfTVp3mnvkbbRvoM6NXBKNsoNv2GTzTadnr95h21m3cF1BdJN6lXgyoVSlEofy6jbSd9dTL242nGn3/QtOPvhIWF4+mRlsUzxxEZGWm07QS669RjwGijbqfPn4PZf+QU86Z+jduYz3u66mPM57wiBfNQr2Zl8petjZmpGflyZ6NDy4Z8Cgoy2jbSV6d2PQcbbTsB1G3ZnXf+AZibmzFrwjCSJ3M06mMJdNfJ2D+b/rPTtAshhBBCCCFEQvvPDhEUQgghhBBCiIQmCZYQQgghhBBCJBBJsIQQQgghhBAigUiCJYQQQgghhBAJRBIsIYQQQgghhEggkmAJIYQQQgghRAKRBEsIIYQQQgghEsh/9kbDOplaJnUEQgghhBBC/HdFhCZ1BN9NerCEEEIIIYQQIoFIgiWEEEIIIYQQCUQSLCGEEEIIIYRIIJJgCSGEEEIIIUQCkQRLCCGEEEIIIRKIJFhCCCGEEEIIkUAkwRJCCCGEEEKIBCIJlhBCCCGEEEIkEEmwhBBCCCGEECKBSIIlhBBCCCGEEAlEEiwhhBBCCCGESCCSYAkhhBBCCCFEApEESwghhBBCCCESiCRYQgghhBBCGKHIsHDC3gYQGRae1KGIaMySOgAhhBBCCCGE4VSRkbzdfZJ3+86gCleiMDcjRSVvnKsWR2Ei/SdJTRIsIYQQQgghjMjb3Sfx23oEC1cnTMzNiAxX4rf1CAAu1UsmbXBChggKIYQQQghhLCLDwnm374wmuQIwMTfDwtWJd/vOyHDBn4AkWEIIIYQQQhgJZWAQqnAlJuZmBCjMUX1ZbmJuhipciTIwKEnjE5JgCSGEEEIIYTTMHGxRmJtxCQfqO5ZlvaUHAJFfrsUyc7BN2gCFJFhCCCGEEEIYCxMLc1JU8ubJZ/XjZyY2RIYrCfPzJ0Ulb0wszJM2QCGTXAghhBBCCGFMnKsWx/7DZXgDkcGhRHz8jKtvGZyrFk/q0ASSYAkhhBBCCGFUFCYm2OfOBAff4VAgG1kqlZaeq5+IDBEUQgghhBDCSJlYWUhy9ZORBEsIIYQQQgghEogkWEIIIYQQQgiRQCTBEkIIIYQQQogEIgmWEEIIIYQQQiQQSbCEEEIIIYQQIoFIgiWEEEIIIYQQCUQSLCGEEEIIIYRIIJJgCSGEEEKIX15kWDhhbwOIDAtP6lDEL84sqQMQQgghhBAisagiI3m7+yTv9p1BFa5EYW5GikreOFctjsJE+hpEwpMESwghhBBC/LLe7j6J39YjWLg6YWJuRmS4Er+tRwBwqV4yaYMTvyRJ24UQQgghxC8pMiycd/vOaJIrABNzMyxcnXi374wMFxSJQhIsIYQQQgjxS1IGBqEKV2JibkYECs1yE3MzVOFKlIFBSRid+FVJgiWEEEIIIX5JZg62KMzN8Iswpa5jGRZZZQIg8su1WGYOtkkcofgVSYIlhBBCCCF+SSYW5qSo5M3DjyqCFOb8Y+pIZLiSMD9/UlTyxsTCPKlDFL8gmeRCCCGEEEL8spyrFifZZ0t4AaowJREfP+PqWwbnqsWTOjTxi5IESwghhBBC/LIUJiY4FskFm19h7ZmGLL/3kp4rkahkiKAQQgghhPhPUJibSXIlEp0kWEIIIYQQQgiRQCTBEkIIIYQQQogEIgmWEEIIIYQQQiQQSbCEEEIIIYQQIoFIgiWEEEIIIYQQCUQSLCGEEEIIIYRIIJJgCSGEEEIIIUQCkQRLCCGEEEIIIRKIJFhCCCGEEEIIkUAkwRJCCCGEEEKIBCIJlhBCCCGEEEIkEEmwhBBCCCGEECKBSIIlhBBCCCGEEAlEEiwhhBBCCCGESCCSYAkhhBBCCCFEAjHaBKtNt4G4ZilKzmI1NMv6D59I7hI+tOjcT7Ns+dotTJ+7NClCFEIIIYQQQiSwnz0PMCjBunPvIfOWrKH/8In0GDCaURNnsXv/UT5/Dk7s+PRq1aQOe9Yv1Dz+EPiRU2cvcfXEdiIiIrh28zbBwSEsWb2ZLm2bJFmcQgghhBBCiITzs+cBZrGtXLVhO1PnLOHC5Ru4uqQgTeqUWFla4P/+A6MmzcHK0oKm9X0Y2Lsj6dzdflTMAJQqVohHT55pHpsoFISFhaNSqQgOCcXczIyJMxbSo0NzzM3Nf2hsQgghhBBCiMTxs+cBehOswhXqERwcSpumdVm/eDoe6dy11oeEhHL89HlWbthOvtK1WTBtFHV8KiV6wPrY29tRt2Yl8pWuRflSRXF0sOfcpesM7dfN4G1cvnqDgA+BiRilEEIIIYT40a75hRH80J/Xnyw4ctwpqcNJEDcffib4YSCPVdYcsXRM6nASTJli+eP9nITIAxKSQuV/W6VrxZqNO2lUt7pBG3n2/BWPnj6jhHfBBA0uLo+ePKNGo05cP7Ujxrp2PQbTtV1TLly+wb7DJ8idw4shv3eJfYOmlokUqRBCCCGE8YgMC0cZGISZgy0mFsY/Eujkk2Cab35FUXcrVtZNndThJIg11wMZdPAdDXPYMa6CS1KHk3AiQg0qluB5QALSew2WockVgHuaVD88uYrNpas3AciS0YNla7ewbvF0rv9zl7v3HyVtYEIIIYQQPzFVZCRvdh7nTt9p3B86hzt9p/Fm53FUkZFJHZoQBvkZ8gCDZxEMCwtj2+6DTJ65iA+BHwF15vgzDqn7Y+x0Rg7sQbhSSUREBAAmJiZ8Dg5J4siEEEIIIX5eb3efxG/rEUztbbBI6YSpvQ1+W4/wdvfJpA5NCIP8DHmAQQnWk2cvyF2yJo3b96H/iEm88w8AYNqcpQwYMSkx49OrcbvfKFq5EbfvPcQ9Ryn+Xr4egC07D1AoXy7cUqckmaMDRQvlI1dxHxQKyJMza5LEKoQQQgjxs4sMC+fdvjNYuDphYq6+TN/E3AwLVyfe7TtDZFh4EkcohNrPngfovQYrurotumNmZsqyORNwzlyEK8e24emRlsPHz9Dxt2HcObf3R8Sa+OQaLCGEEEL8R4W9DeD+0DlYpHRCBSiir3vtT8aRnbFwTpZE0X0fuQbLiBh4DdbPLNZp2qMcP3Oew1uXYWlpobU8Q3p3nr98nSiBCSGEEEKIH8fMwRaFuRmh4RF0cypJDuV7egX/Q2S4EoW5GWYOtkkdohBGwaAhgsEhIVjomEHmzVt/rCyl10cIIYQQwtiZWJiTopI3L9+H8MjUjgtmzkSGKwnz8ydFJe9fYjZBIX4EgxKsYoXys3rj1ykQFV/6jKfPW0apYj/P7IFCCCGEEOLfc65aHOeK3gCoIiKI+PgZV98yOFctnsSRCWE8DBoiOPaP3pSp2Zxbdx+iVEYwbup8rt64zT937nNqz5rEjlEIIYQQQvwAChMTnMoWgiXPMEvuQJaevaTnSoh4MqgHq0DenPxv33osLSzI6JGOE2cukCWTB//bv44c2TIndoxCCCGEEOIHU5iaSHIlxL9gUA8WQPasmVg8a1xixiKEEEIIIYQQRs3gGw0LIYQQQgghhIid3h4sc9ccKBQKfau1hL2+nmABCSGEEEIIIYSx0ptgLZg2yuAESwghhBBCCCFELAlWqyZ1fmQcQgghhBBCCGH05BosIYQQQgghhEggBs0iGBYWxrip81m1cTuPn74gPFyptT7i7T+JEpwQQgghhBBCGBODerBGTJjF/GVr6dy6MQqFgtGDe9G2WT2ckjsy488hiR2jEEIIIYQQQhgFgxKsNZt2Mm/KSHp1boWZmSkNalVl/rRRDOnTmVNnLyV2jEIIIYQQQghhFAxKsF6+fkPuHF4A2NrYEPjxEwA+VcqxY++RRAtOCCGEEEIIIYyJQQmWWypX/N68A8AjbRqOnToHwPV/7mBmZpp40QkhhBBCCCGEETEowSpX0pttuw8B0LZZPfoNn0jRSg1p0uF36vtWSdQAhRBCCCGEEMJYGDSL4Pxpo1CpVAC0b9mAZI72HD9zgWYNatKxVcNEDVAIIYQQQgghjIVBCRaAQqHQ/F2/VlXq16qaKAEJIYQQQgghhLEyaIjgklWbWLd5V4zl6zbvYtmaLQkdkxBCCCGEEEIYJYMSrD+nL8ApebIYy51TJGf8tPkJHZMQQgghhBBCGCWDEqxHT5+TyTNdjOWeHml59PR5ggclhBBCCCGEEMbIoATL0cGeh4+fxVh+/+FT7GxtEjwoIYQQQgghhDBGBiVYVcuXou+wCbx85adZ9uLla/qPmEi1iqUTLTghhBBCCCGEMCYGzSI4YURfSlVvSsYCFcnulRGFQsGNW/dI7+7GhOF9EztGIYQQQgghhDAKBiVYLs5OXDq6hZXrt3Hx6k0AOrduTOO6NbC2tkrUAIUQQgghhBDCWBh8HywrK0vaNq9P28SMRgghhBDCyESGhaMMDMLMwRYTC/OkDkcIkcQMSrD2Hz6JjbUVxb0LALBg6TrmL1tLjqyZmTF+CPb2dokapBBCCCHEz0YVGcnb3Sd5t+8MqnAlCnMzUlTyxrlqcRQmBl3mLoT4BRl09PcbPpG3/u8BuHPvIV37jaRg3pycv3SdvsMmJGqAQgghhBA/o7e7T+K39Qim9jZYpHTC1N4Gv61HeLv7ZFKHJoRIQgYlWPcfPiFntiwAbN65nwqlizJn8ggWTBvFjr1HEjM+IYQQQoifTmRYOO/2ncHC1QkTc/WAIBNzMyxcnXi37wyRYeFJHKEQIqkY3H+tUCgAOHryHJXKFgcgjVtK3r0PSJTAhBBCCCF+VsrAIFThSkzMzfBTWPFaoZ70y8TcDFW4EmVgUBJHKIRIKgYlWLlzeDFn0SqOnTrHoeNnqFS2BABPn73EJYVTogYohBBCCPGzMXOwRWFuRmS4ku72RehuXwQVEPnlWiwzB9ukDlEIkUQMSrDGD+vDopWbKFuzBS0a1iJ71kwAbN97mEL5ciVqgEIIIYQQPxsTC3NSVPImzM8ffxNL3ptYEhmuJMzPnxSVvGU2QSH+wwyaRbCEd0He3D1N4MdPJHN00Cxv36IBtjbWiRacEEIIIcTPyrmq+pIJ7qn/i/j4GVffMl+XCyH+kwy+D5aJiYlWcgWQMUO6BA9ICCGEEMIYKExMcKleEqY/BCDLhJ6YWlokcVRCiKQmN2kQQgghhEgAMixQCAGSYAkhhBBCCCFEgpEESwghhBBCCCESiCRYQgghhBBCCJFADJrk4sXL1zqXKxQKrKwsSZ7MMUGDEkIIIYQQQghjZFCC5Z6zNAqFQu96p+SOdGjZkFGDemJiIp1iQgghhBBCiP8mgxKsZXP+pP+ISbRoWIuihfICcPrcZZav3crw/t158eo1k2YuwtHBjn492idmvEIIIYQQQgjx0zIowVq5fjvj/uhDi0a1NMtqVi1PtiwZWb1xB7vXL8QtVUqmzlkiCZYQQggh9IoMC0cZGISZg61May6E+CUZNJ7v2OnzFC+SP8by4kXyc+z0eQDKlfLm4ZNnCRudEEIIIX4JqshI3uw8zp2+07g/dA53+k7jzc7jqCIjkzo0IYRIUAYlWE7JHNl94FiM5bsPHMPpywQXQZ8/Y29nm7DRCSGEEOKX8Hb3Sfy2HsHU3gaLlE6Y2tvgt/UIb3efTOrQhBAiQRk0RLBP19b0HjyOc5eu4V0wDwqFgtPnLrNm004mDO8LwK79R8mfO3uiBiuEEEII4xMZFs67fWewcHXCxFz91cPE3AwLVyfe7TtDioreMlxQCPHLMCjB6tW5Fenc3ZgyezHb9xwGILtXRtYsnErtGhUB6NO1Db93a5t4kQohhBDCKCkDg1CFKzXJlQpQoE6ylOFKlIFBWDgnS8oQhRAiwRiUYAHU8alEHZ9K+jdkZvCmhBBCCPEfYuZgi8LcjMhwJTMdcnHVLDmzP57GLDwchbkZZg5yiYEQ4tcRr6zoxJnz3Lh1DwUKcmbLTDEdE18IIYQQQkRnYmFOikre+G09wnknJ16a2uIXYY6z32tcfcvI8EAhxC/FoATrzVt/6rXqwfHT53F0sAfgQ+BHShUrxIYl03FO4ZSoQQohhBDCuDlXLQ6A6h8VmEJkUDCuvmU0y4UQ4ldh0CyCvQaNIeBDIJePbeH9w3O8f3iOS0e38D7gA70Hj0vsGIUQQghh5BQmJrhUL4l5CvXswx4DWuNSvSQKE4O+igghhNEwqAdr94Hj7Fg9l9w5smqW5cmZlVkTh1KzSZdEC04IIYQQvxaFQgGgmfBCCCF+NQb9bBQSGkoyR4cYy5M7OhIaFpbgQQkhhBBCCCGEMTIowSqULxfjps1DqVRqlimVSsZNm0ehfLkSLTghhBBCCCGEMCYG9c//Oex3Ktdri2e+Clo3Gg78+Il9GxcldoxCCCGEEEIIYRQM6sHyLpSXO+f20rJRLSIiIlEqI2jVuDZ3zu2lcIHciR2jEEIIIYQQQhgFg68wTenqzKjBvRIxFCGEEEIIIYQwbnoTrBcvXxu8EbfUKRMkGCGEEEIIIYQwZnoTLPecpTVTqeqjUqlQKBREvP0nwQMTQgghhBBCCGOjN8E6vG3Zj4xDCCGEEN+IDAtHGRiEmYMtJhbmSR2OEEIIA+hNsEoXL/wj4xBCCCHEF6rISN7uPsm7fWdQhStRmJuRopI3zlWLozAxaH4qIYQQSUTvWTo4OCReG4pveSGEEELo9nb3Sfy2HsHU3gaLlE6Y2tvgt/UIb3efTOrQhBBCxEFvgpWxQAX+mreMgA+BsW7gzLnL1GnRjSmzFyd4cEIIIcR/TWRYOO/2ncHC1QkTc/VAExNzMyxcnXi37wyRYeFJHKEQQojY6B0iuG3lHH4bMp4BIydTqmhBCufPTRq3lFhZWuL//gM3bt3l2Onz+L15R9/ubfm9W9sfGbcQQgjxS1IGBqEKV2qSqygm5mYow5UoA4OwcE6WNMEJIYSIk94Eq2C+XBzbuZLzl66xcv12duw7wsPHzwgOCcElhRP582SnT9fWNK3ng52d7Y+MWQghhPhlmTnYojA3IzJcyR7b9OyycGdc0AVsw0JQmJth5iCfuUL8F0WqVJx5FkJgaCQA1/1CAXgWqGTPvSAAzE0UFEtrhbW5XKuZlOK80XDBfLkomC/Xj4hFCCGE+M8zsTAnRSVv/LYe4Ujmwtw2c+SWyo5cfi9w9S0jswkK8R919FEwbbfFvE/tyachnHz6dS6EHkWS0cs7+Y8MTXwjzgRLCCGEED+Wc9XiAKiuRoAFRAaH4OpbRrNcCPHfkzmFOWYmoIyMvVx2F4sfE5DQS/oPhRBCiJ+MwsQEl+olsc2SDgD39nVwqV5SpmgX4j/M3cGcutnsYi2T3cWCip42PygioY+cqYUQQoiflUKh/s9MBpwIIaBLoWSYxfLtvUeRZCi+nDdE0pEESwghhBBCCCOQ1lF/L5b0Xv08JMESQgghhBDCSOjrxZLeq5+HJFhCCCGEEEIYCV29WNJ79XPRO6g7c8FKBmfBd87tTbCAhBBCCCGEEPp1KZSM9Tc/EalSP5beq5+L3gSrWf2amr9Dw8KYtXAlWTJ5UKJIAQBOnb3ErbsP6Na+WeJHKYQQQgghhADUvVgF3Sw5+zyU5FYm0nv1k9GbYA3r303zd5ffh9OhZQMmjuyvVab/8Im883+feNEJIYQQQgghYhhbzpkuu/zoUSS59F79ZAy6Bmvt5t20b9EgxvK2zeqxdvPuBA9KCCGEEEIIoZ+nkwV7mrlTLbNtUocivmFQghUREcGd+49iLL9972FCxyOEEEIIIYQQRsugOxc2rluddj2HMHZIb4oWyodCASf/d5EhY6fTqE61xI5RCCGEEEIIIYyCQQnW9HGDsbK0pGu/kYSFhaNSqbCwMKdTq0aMH/Z7YscohBBCCCGEEEbBoATLwsKCqWMHMWZIb+4/eoJKpSJThvTY2FgndnxCCCGEEEIIYTQMSrCi2NhYkyu7V2LFIoQQQgghhBBGTW+C1aHXH0wZPQA7O1s69Poj1o3MnzYqwQMTQggh4iMyLBxlYBBmDraYWJgndThCiCT0JiiCOmtf4BekBNDckPfMsxC8ZqgnaTNRKOjpnYxOBZMlUZTiV6U3wbr74BHKiAjN3/rIvPtCCCGSkioykre7T/Ju3xlU4UoU5makqOSNc9XiKEwMmixXCPGLCY9U8fKTUpNYRVEB4ZFfH738qPzBkYn/Ar0J1uFty3X+LYQQQvxM3u4+id/WI1i4OmFibkZkuBK/rUcAcKleMmmDE0IkCTd7M3yy2LL1dpDeMqYKaJPP8QdGJf4rDPppb9+hE6hUqrgLCiGEED9QZFg47/ad0SRXACbmZli4OvFu3xkiw8KTOEIhRFLpVjgZJrEMtKqdzY70yWQ4sUh4BiVY1Rp2IG3O0gwYMYkb/9xN7JiEEEIIgygDg1CFKzXJVdRPgSbmZqjClSgD9f96LYT4tWV0ssAni63OdaYK6Foo2Y8NSPxnGJRgPbt+lF6dWrLn4HFyl6xJwXJ1mLlgBW/f+Sd2fEIIIYReZg62KL4MCzxknooGDqW5Z2pP5JdrscwcdH+5EkL8N+jrxZLeK5GYDEqwUqV04ffubbl8bCsXj2ymdLHCjJs2jzQ5SlGrWZfEjlEIIYTQycTCnBSVvAnz8+eySTICTCy5hR1hfv6kqOQtswkK8R+nqxdLeq9EYov39Ep5cmZl8ugBbFs5hxxZM7N9z+HEiEsIIYQwiHPV4rj6lkEV/mU65pAwXH3L4Fy1eBJHJoT4GXQrnIzonVjSeyUSW7wSrFev3zB55iLylKxJ4Qr1USgUTB0zMLFii9WeA8fwKlyZTAUqMn7a/Bjrb925T9FKDbFMlZNJM/5OggiFEEL8CAoTE1yql8SxSC4AUtYrj0v1kjJFuxACUPdiFU1rpXksvVfG72fPA/RO0x7dmo07WbpmMwePncHFOTlN6/mwav5kcmTLnNjx6RQREUHXfiPZv2kx7m4pKVS+HjWrlCN71kyaMk7Jk/HX+MFs2XUwSWIUQgjxYylMTb78b5rEkQghfja/eSfnzLOXFEhtKb1XRs4Y8gCDEqy2PQfjW7U821fNoWLZ4pgk8a+CZy9cJVOG9Hh6pAWgUZ3qbN19UGvHurqkwNUlBTv3HU2qMIUQQgghxE8gv5sVd7t7oFDEMm+7MArGkAcYlGC9+ucE9vZ2iR2LwZ6/fE3aNKk0j93dUvK/C1eTMCIhhBBCCPEzk+Tq12AMeYBBCZa9vR1KpZI1m3Zy49Y9FAoFObNlpkGtqpiZGbSJBKXrpscJcdBcvnqDgA+B370dIYQQP97j6x8IfhjMzYsOHAmwSepwEsSrW/4E+4Vx6ZwTEU8skjqcBBFw9w3BQRGcPv2ch3a/xnDO4IevADhy/BW/wnd4v6AIgh++IcDGlCPHnyV1OOI/pkyx/LGuT6w8ICEZlB3df/iEKvXb8fzla7wyZUClUjFt7lJGTJjJ7nULNV10P4q7WyqePn+lefzsxWvcUrl+93bz5s7x3dsQQgiRNPaFvcWaj2TPn4IyuRySOpwE8febl9y3DSFfoVSUTG+d1OEkiGT3nxL4QUnRou6/zLUw1hcfAlCm5K8xBO3ph3Csbz8jmYMZZUr+2O94QhARGuvqxMoDEpJBF1P1HjyWtGlS8ejyIS4d3cLlY1t5eOkgbqlc6T14bGLHGEOh/Lm4++ARDx8/JSwsjDWbdlKzSrkfHocQQgghhBDixzGGPMCgHqzDJ/7HsR0rcXVJoVmW0tWZSSP7U7Zmi0QLTh8zMzNmThhK5XrtiIiIoE3TuuTIlpm5i1cD0Kl1Y169fkPBcnUJ/PgJExMTps1dys3Tu3Bw+HmuJRNCCCGEEEIYzhjyAIMvoNLV5Z2UswlWq1iaahVLay3r1Lqx5u9UKV14duPYjw5LCCGEEEIIkYh+9jzAoAypVNFC9B06gfcBHzTL/N8H0G/YREoVK5RowQkhhBBCCCGEMTGoB2vqmIFUrNOGtLnKkN0rIwoU3Lh9D2en5OzftCixYxRCCCGEEEIIo2BQgpUlUwZun93DyvXbuHn7PgAdWzWkST0frKwsEzVAIYQQQgghhDAWBl+DZWVlSdvm9RMzFiGEEEIIIYQwarFeg3Xp6k1K12jGh8CPMdYFfAikjE9zrt64lWjBCSGEEEIIIYQxiTXBmjJ7MaWLFcLRwT7GumSODpQpXpgps5ckVmxCCCGEEEIIYVRiTbDOnL9CreoV9K73rVaeE2cuJHhQQgghhBBCCGGMYk2wnr14RQqnZHrXOyV35PnL1wkd039X5z5Qs6nh5R09YO3mhI/jxi0o6wuuWSBX8YTffnw9fqqu6+lzsZfLVRwmzvghIX23xGo7IYQQQgiRpGKd5MLRwZ77D5+QPm0anevvP3yic/ig+EbnPrBqo/pvExNI5QqlisGwfuCW6mu58cMgUpU0MUY3dBzY28G5g2Bro7+cUgl/r4A1m+HOPXXd0qcF32rQrjkkd0yYeNzd4M5ZcEr+fds5fhpqfL0JHbY2kDoVFM4HbZtBwXzft31duvWHh49g59qE37YQQgghhPjpxNqDVbxwfhYu36B3/YJl6ylWOBG+lP6KihVWJwk3TsHC6XD1BrTsol3G0SHhkpLvcf8RlCiiTpacU+guEx4O9VvDqElQuzpsWwUndsHQvnD+EqzW/76JN1NTSOkK5uYJs71jO9RtcWov/DkMQsOgYl2YI/d0E/8tkWHhhL0NIDIsPKlDEUIIIX4ZsSZYv3drw/qte+jadwQvog0FfPHyNV1+H86GbXv5vWubRA/yl2Burk4S3FJB8SLQqjGcvQjRZ2j8dojgP3egdnNIlwtSZ4NC5WHNJv2vsXYzuGWHjdv1l3nlB627qbeZ0guqN4SLV9XroobiPXwMY6ao/x43Vfd25i6Bwydg01Lo0QEK5FEnZJXKwtq/oXG9r2VXbYDCFcAlC2TzVidlSqV63ZLVkDYXBIdob3/qHMhaBCIjdQ8RvHYTKtZRD2PMXxY27dBf5285p1C3hUdaqFAaFs2ALm1hyFh48PhrufuPoFkn9b5KlxtqNVcPn4zy/gO07wU5iqn3ZYFyMGMBqL70Qo6bCsvXwon/qeN39ICV678+P/ATdOgNaXJA9qIwba7hdRDiO6giI3mz8zh3+k7j/tA53Ok7jTc7j6OKjEzq0IQQQgijF2uCVbRwPuZPHcmilRtJm6sMyTMUInmGQqTNVYbFqzYxd/JwihXJ/6Ni/XW8fA1bd6l7ZkxN9Zdr20M9LG7fJnVvy9ghkExPD9f0edB3KKxaAHV9dJdRqaBJe7h7H9YugkNbwcUZajWDd/5fh+KlSQ29Oqn/7t5B97bWblIPcyxcQPf6qJ64vYegaz9oWBtO74HRg2HBMhg/Xb2+dnUIC4Ode7/Z/mZoUEs97PBbwSHq3jNHBzi4BeZOgr/mw5t3umMxRO9OEBEBO77E4fcGqtQDlxSwez0c3AyZPaF6I3j75XXCQiG7F6ycD/87AP26q5OqqCSqeweo7wuF86v35Z2zUCda2/w5Xd2zeXyXOkkdNh6Onfr3dRDCQG93n8Rv6xFM7W2wSOmEqb0NfluP8Hb3yaQOTQghhDB6cd5ouHXTulQpX5K1m3dx98FjVCoVXpkyUN+3Cm6pU/6IGH8NJ86oe5ciI7/21nRrH/s1Tk+fQ9e2kDWz+nGGdDHLREZC/+GweSfsWAO5c+jf3tFTcOEK/G//123OmwK5SsDC5dC/p7pnx9QE7GzVf+tz7yG0KBJrlQF1T1TNqtCnq/pxJk918jL8T3VC4ugA1SrC6k1Qz1dd5vJ1de/d4pm6t7lui7rnb8H0r4nc7IlQtHLc8ejjnEKdTD16on789wpI5w5Tx3wtM2E47Dusfv0ubdX7p3fnr+s90sLFK7B+GzRroN6HVlZgYa57X9apoe7JBOjUWt0Gh46rE1chEklkWDjv9p3BwtUJE3P1R4CJuRkWrk6823eGFBW9MbFIoOG4QgghxH9QnAkWQOpUrvTq3CqRQ/nFFcwLcyZDaKg6GTp8HIb0if053dtD9wHqIXYlvKFqRcibU7vM6MnqhO3QVvUX/NjcuqPuEYtKrgAsLdWx/XMnfvVRqUBhQLl/7qgTieiKF4GQUHj4BLwyQeO60KgdvPZTJyJrN0HeXJAti+5t3r4LWTJpX6+W3Qscv3PCFRWg+FKpi1fViZ5bdu0ywSHqoYOgTm6nzYVN2+H5K3XbhitBz6QwMeT6ZtupU8Gbt99TAyHipAwMQhWuxMTcjGBMsSYCUCdZynAlysAgLJyTJW2QQogfLiJSRWiEeoh7cLh6uHCkSsXn8K9Dh23MYx34JIT4wqAESyQAKyvI6KH+O7sX3HsAv/8Bsybqf06/HlC/Fhw4qh46Nnk29OwIf/z+tUyZ4urrjzZth9+66N2UhkJHVqRS6V4em8ye8M9dw8p+u+2oa5SiFpcvBc5OsG4rdG4NG7Z97fHS5d/EG5c3b9X/MqRXP46MhNLFYOLImGWjErkZC9Q9dGOGQJ4cYGcHs/+GfYcMe81vewkUCvXrCpGIzBxsUZibcUrhxAiHAvT7fI3y4a+IDFeiMDfDzME2qUMUQvxgIcpIKi9/ztNApdbyFx8jyDn767XJvl62TK0Sy+gWIQQQxzVYIhEN7KWeuj1qggl9MqSD9s1h+RwY1Fs9dC26UsVg/WKYNBMm/BX7trJmUV9rdStaYhQaqh42qK+3SJ8GtdVJ31k9N5p+/0H9f7Ys6kkeojt1FqytwOPLkEdTU/W1Sms2qofIvf8A9WrGXo/bdyHgw9dl/9yBDx/1Pycu0+aqJyKp8WWYYb7c6v3klkqdGEf/FzWz4qmz6uSwRUPIk1O9Lqp3K4qFOURI0iR+HiYW5qSo5M39EFMiFQoemtoTGa4kzM+fFJVkeKAQ/0UmCgUfw+L+rPoc/hPcSkYIIyAJVlLJkgmqlIMRE3Sv/xQEff5QXzf16ClcuQ4Hj2oP74tSwhs2LVNP9DB6sv7XLF1MPdtfux5w5jzcvA0df1MP12vbLH7xd24NpYtDnZbq1714FZ48gwNH1BNprPly36/fusC23TBltrrXbtMOGDdNff2ZhcXX7TWuC9dvwciJULG0/unhQZ2M2dmqZ+C7dhPOXYSufdVJmyHevlMPR3z0FA4egzbdYfYiGPfH12GWHVqoJ71o0l6dSD1+qp7FcORE+N+XpDKTpzp5PHZKXbdRk+DCZe3XSp8W7txXJ4Dv/NUJrRBJzLlqceyyewIQERRMxMfPuPqWwbnqT3BjcSHED2dhqqBtvrhvE9Ox4E9wKxkhjIAkWEmpZyc4cgKO6Ji5y8xU3UPTrR8ULq9OZFyc1ffQ0sW7IGxZDvOXqGej00WhUM8ymDkjNGgNZWuqJ5zYsgJSOMUvdnNz2LgEBv+mnha+ekMoVgWGT4D8edUJE6inbZ81AVZvBO/KMGiU+ibEA3pqby9nNvU1SdduQqO6sb+2jbW6187/PZSrBe16qSedcIklKYuuVA3IUhiKVoK+w8DKEg5sgvYtvpZxdYH9m9T7pVknKFhePSX70+dfJ6zo1119PVmTDlChjrq9OrbSfq3mDSF/bqhUFzzzq4c/CpHEFCYm2Hp5AJC8ZD6yTOyFS/WSKHTN2imE+E9okceBZFb6zwGl0luTP7WBP2QK8R+nUPnflv7eKKaWSR2BEEL8EHPOBTDx1Hs6FnCkf4l4/sDykxp08C1rrn9kTLkUNM7lkNThJIjmm15y8mkIS2ulomR666QOJ0GUWfKUJx+UHG7pTvpkv8aQVM/pDwG438MDRUJfI/wDzTobwOTT73Wu29AgtSRY4seIMP7RPgZNcqFUKvl7xQYOHj2N31t/Ir+5EP/YzpWJEpwQQgghhPgxWuRx4O9LHwgI0f6eJ71XQsSPQQlW174jWb5uK5XKFidr5gxG/euMEEIIIYSIyd7ShLb5HGP0YvUokixpAhLCSBmUYK3fuocNS/6iWsXSiR2PEEIIIYRIIi3yODD/QgAfw9RXkEjvlRDxZ9AVzQ72dnimd0/sWIQQQgghRAILCwtj/eadvHzlF2dZe0sTGua01zyW3ish4s+gBGtAr/aMn76A8PDwxI7n11S9IXTr//3bUSrV05F75AVHDzh++vu3aYxyFYeJM5I6CiGEEMIoLFu9iQatuuKRqwTtuvXn1p17sZbvUigZtuYKsjqbS++VEP+CQUME2zWvz/Y9h0mToxRemTJgbq79tENblyVKcOIbW3fD+q2wfbX6fk3JkyV1REnj8Daw/jVm0xJCCCESW92aVdlz4Cibtu/h7+Vr+Xv5WnyrV6Rfz04UK1IgRvlkVqZc6+Lx4wMV4hdhUA9Wl99HcOj4GQrnz41Xpgxk9Ein9U/8IA8eQepUUKSA+l5M0W/UGx9hYQka1g/nnAJsbZI6CiGEEMIoJE/uyIblc7h94RAdWzfB0tKCrTv3U7xSXUpUrsfeA0eTOkQhfikG9WCt3rSD9YunU6Ny2cSO59elilTfAHjZWggPh1rVYeIIsI7W9T5vCSxYBk+eQRo3aFIPencCMzP1MMMT/1OXc/SAdGng2kn1tkZPhrWb4a0/eKaHvt2hvu/X7Tp6wJ/D4Nwl2HcYypaEZbPh0HEYPw2uXFf3hpUrCaMHg1Ny3XVo11P9GluWay+v2xIc7GHxTHj0FAaPhvOX4EMgZEgPPTtCozraz1mwTP3v4RP1c4sVhuVz1OuUSpg8C1ZthBevIEVy8Kmi3l+gHiLYopG6nlGPG9WFwEBYs1l9E+SGtWHkADA1NWz/AuzcB+Omwb0HYGEOGT1h2hjIk9OABhZCCCF+jIiICEJCQgkOCSEkJFT9LzQURwd70rq7ERkZyckz53nt95aQ0K/rQ0JCcU+Tmk5tmvH2nT879x7i5JnzVKnbkprVKjBiYG/y5s6R1NUTwugZlGAlc3Ags2f6xI7l17Z1N9SuAXvWq3uiuvUHG2uYMFy9ftxUWLkBxv0BuXLAnXvQezCEhsKQPrB8njrp2LYbDmz6mjiMmAgr1sHUMZArG2zZDe17gYszlCn+9fXHT4eBvWBwH4iMgKOnoEl7GDEA5kyCgEAYNg6adoRda0HXVPyN6kD91uqkxy2VepnfGzh8AtYuVD8OClK/7sBeYGMD+w9Dl77q8qWKqcuMnQIzF8Lw/uqk7tNndbko3frB/qMwZjAULgDv3sHZi7Hv33lLoFcnOLQFLl9X74NsmaFZA8P272s/aNlV/Xet6urlV298Tb6EEEKILyIjI7USmyi37z7AK7MnCoWCazducff+o68JTrQkJyQ0lEye6WnRuC43/rnDlJkLCfz4KUYyFBIailKppF/PjrRqWp9q9Vpx4MhJlEql3tjOHtrKoyfPaNCqa6x1yJLJk8M7VpOvZHUAtu06QHavzJJgCZEADPr22L9ne8ZPW8CC6aMwky+c/05yR3VviKkpeGVSf5HvNxyG9VMnM9PnwYq5UKGMurxHWnWZ/sPV/zslAzsb9fNTuqrLfA5WJxZj/4Da6hMkv3eFS1dg0kztBKt6JejY6uvjngPVj6MvmzMZchaHazdB1wm2XElI6aLuLevdWb1s3VZwdoJypdSPc2RV/4vSsRUcOQHrt6kTrKDP6roO7gMdWn4tl/dLL9H9R7B6EyydDbWqqZd5podC+WPfv8UKw29d1H9nzAAr16t76Jo1UO+nuPbvKz91b2Dt6pA+rbqMV6bYX1MIIUSSUKlUhOpIRsLDlWTzyoSZmRlPn73g/KWrehMcB3t7urRrzufgYEb+OZ1Xr9/oTHBCQsKoUaUck8cM4Y/Rk5n41zxCQ7WH2mcYqf6RMFuh8sycNBKfKuXJXaxKnPXwqVKB5Ws2sWjFuljLXbh8nZZN6uH/PgClUolCocDa2gorS0usrCw1/7u7pSJdWjfcUqekWcPaBAeHaK2P+j88PJz7Dx9TqKx6tIudrQ1zp42ljk/cMQsh4mZQtrR110HOXbrG7oPHyJbFE3Mzc631+zYtSpTgfin582oPV/MuqL4W6uFjCA2D4BBo3lm75ygiAkJC4e079XVH33rwSL2N4oW1lxcvAlPmaC8rkEf78cWr6iGDC3RMUHL/ke4Ey8QE6tfSTrDWbFIvi6rb52D4czrsOfg1aQkNg5JF1etv3VHXqVzJmNsH9XBF0L9en1zZtR+nTgWPn6r//udO3Ps3ZzYoXwqKVoayJaCEt3pYortb/OIQQoj/AJVKRVhYmI5kJJSMGdJjZ2dLYOBHjpw4Q3BwiFaZgNAioLBh5vyl9GpWg9SpXBk14S/+uX1PT4ITSob0adm6egHbdh2gbff+BAZ+1Btbs4a1WTZvCkXK14pzWvKc2bIQHBLCX3OXxFru2Ek7AAI+BGqSq+gJSxTvwvkplD83bqlT0rV9C168fK0upyPJyZnNi+TJHRn4WxfyfxmKritpsrG2xjNDOhQKBWcObkGpVGJmZoZC10iTaJbPnxpj2cePn5g8cwHT5iwiKOgzJiYmtGnWgOEDe5FWPu+ESDAGJVjubqlwjxoSJhKGShXt70j1/0tnq3tfvhXXbIHfnmRVKvj2vPvtpBCRkeohdQ2/uTYK1L1U+jSpC3/Ng0vXwNJC3ds1d/LX9X+MhV371ddyZcmoHiY4ZDR8+2EYxwdDvFloJ/0oFF/3qyH719QUNi6Fi1fg8EnYtgeG/6l+TpXyCRurEEJ8J5VKhVKp1JmMuLqkIKWrC+Hh4Rw+dpqAD4E6E5ewsHDq1qxCvjw5Wb5mE7v3H9G5vZDQUOxsbVn991+EhIZSqXZzXrx8rTe2zBkzcOfiYVp27sOWHftirHfvtQJzJxumzV6EvSqIdi0aMXzctFjr+/L1G4KCgvkUFMTnz8EAWFpaxEhcrK2sqFKhNAqFgr49OnDkxBmsrax0JjhuqVJSpqQ3pqambFuzkM+fg7XLRfs7w5eRDTMmjmDymMGYm5trJTie0x8CcGrfRs3ymZNG6q2PZ75yTBzeFwBHRwca1KkRa/2jKBQKzM3N4y6ow8Klaxg8ahJ+b94C4FO1AmOH9iVndq9/tT0hhH4GJViLZ41L7Dh+fRevqHtMonp6zl5UzwKYIb06IbKyhEdPoFI8JhLx9FAnOSf+B9myfF1+6ixkzaL3aQDkyw3/3IWMHvGrR7Ys6kkf1mwEC0t1z1HObNqvXd8X6vqoH0dGwr2H4OqsfuyVWV3Xg8e0hxJGiZpQ4tDxr0MEv1fWLIbtX4UCCuRV//u9K9RpASvWS4Il/pXnL16RwikZVlZyD5lfVYwE58vfUT0OKpWKM+cu8vzFa51JS3BwCN6F8uFTtQLHT51l/pLVfP4crFXmTcF2kDIrHXoOYGq32pQu7o13hVpcv3mHyMhInXGZm5vz5MZJlqzcwMARE2Ktw6WrN9i5fjGDR03i6bMXesuZmpry4tVrbG1s+PgpSPM6uhKXGpXLAdC2eUMALL4pd8jRkSBgUJ+udG5cBRfnFBzfs56nz1/E2JaVpSXW1la4pUqJg4M9rZrWp2mDWpiammJiEvtEyL27tqN313axloniU7WCQeUALP7tDL5fRERE8OjRY5p26oudnQ2Vy5f+ru0Z4sHDJ7TvMQCAooXz8+eIAZQsVjiOZwkh/q14XVD19NlLbt6+h0KhILtXJtzTSK+Wwd4HQJ8/oHMb9Rf9MZOhZaOvPUt9usLIieq/y5YAZQTcuKWeaGHkQN3btLGGjq3V23J2gtzZYfMu2LkftqyIPZ5BvaF2Cxg4EhrXBTs7ePBQ/fxJI7VnN/xWk7owcSaYm0H39trrMnmqe7B8q4KtrXoyi1d+XxMsO1vo1l49e6G1lbquwSHq2Q37dFUnfA1qqfdVaKj62qv3AXD2gnrf/Rt2tnHv3/9dgKMnv1xn5qoeJnnjFnz5giCEoW7fvc/gkZPYuG03rZvVZ9GsiUkd0i8rIiKC0NCvw9QCP6p7Nl68eo0qpz0KhYJbd+5x89Y9rSRIM/NaaChuqVzp1LYZDx89ZfzUObwP+KC3t6dTmyb07tqOpu16snbTDiIiIvTGtmvDYqwsLSnn0yTWOqRwSs6bBxeZMW8p67fsjLE+VdZGWKeER0+e8c/te5TwLsSHwI9ERkZiZmamM8HxyuSJU/JkVK9cjktXbxAZqdKZtFhZWlKnZmUA9m1exoXL1/X29jinSI6ri/o87v/oMgqFAtPow951qFGlPDV0/EBVZslTgj4oadO8AS7J1L0xJYoWinVb0f3bHpyfxYuXr7Gyc8TBZwB1W/Vi5dw/8a1eKVFfM326NMyYOIJ07m74VK0Q5/BCIcT3MSjB+vw5mM6/D2fFum2ovgxtMzExoVmDmsyZNBzr2L6MCzXfquokpnK9L9O0V9NOnPr1gFQpYf4SGDIGrKwgUwb1VOKxGfo7mCjUiVLUNO0LpmlPcKFLqWKwfZV6dsGqDdQ9Te5u6uuQzON4W9T3hSFj1T1v0aeDB/Usfd37Q43GYG8HrRpDzarw6PHXMkP6qBPCuUtg4ChI5qiepCLK7Inw518wehK89AOXFOr99z3i2r8O9upexQXL1DMqpnRRX1vWr/v3va74ZUSGhaMMDMLMwRaTb4ekAi9f+TFi/DQWLltLREQE1tZWVChTIgki/XGiTzQQHK0HJzQ0lGxembC0tOTVaz9On72od6IBaysrOrdthqmpKcPGTeXZ85d6JxooViQ/i2ZNZOqsvxk8aiIhIaFa8aSo2QeHgjUYMW46H89npHeXtuQqWiXWGdcAKpYtydZd+1mwdHWs5c5euAKor8OJiIiIMdFAVHLi6pyCrJkz4ehgT+tm9QkM/KQzabGysqSEd0EUCgUzJg6ntk8lzM20e3sm3knGtQBYOX8adQqqh6k9uHJck2DFJleOrKxdMiuOVlTLmiUTWbMYNrGPTHb1fR49eYatc2qs3LOjqPUHTTv3Z+G0UBrV8Um01zQ1NaVb9ImlhBCJSqHyv62Kq1DXviPYsfcIM/4cQukvEyocOfE/egwYg0+VssycMDTRA/0hTC3jLiOE+E9RRUbydvdJ3u07gypcicLcjBSVvHGuWhyFiQkfPgQy8a/5TJ39N58/B2NiYkLb5g0ZPrAXbqlTJm5ssUw0kD5tGpIlcyQo6DOHjp0iKOgzodHKng5x46yJFznC7jCtblYyeqZn4vR5XLh8Tc9wtlBSpXRm2+qFnL1whYatu/E+4IPe2KpUKM3ujUvJVbQy12/ejrUeKxZMI33aNJSsUj/Wcp4e6bh76QijJvyluWYnemJjVa4TZC2L3eW1TGtVirKlijJw+J/cufdQ70QDmTw9aFyvJsHBIew5cJSIiAid5aytrPDMkA4TExNUKhXh4eExrsNJDM03veTk0xCW1kpFyfTWifpaP0qZJU958kHJ4ZbupE9m3L1RUaKuwbrfwyPuySfWbKLP7O3YVOkDQJjfQwI2/MHCqSNpUr9moscqxE8vIjTuMj85g36G2rBtL8tm/0nl8l9ndvOtVgFLCwtadh3w6yRYQgjxjbe7T+K39QgWrk6YmJsRGa7Eb+sRAG44mFGvRWfe+QcA6qSiZ+c2pEmdUtPbHxERwZHjZ3jn/z5G4hIcEkJoaBjVK5ejuHdBNm3bw4atu2KUiXpsaWnBktmTSOGUnBJV6vPk6XO9cTuncOLlnbP07D+Cv5evjbHesWRjnCp6cfJ/55n+5jTjhvVj8KhJhIeH693mk2fPCfgQSHBICJ+D9U80YGVlSc0v17T07tKW7XsO6Ly2xsrKEpcUKahVvRLW1lbs2biUgA+BMXp5ohKodO5umJiYMGxALwb16RpjJrVBB9+y5vpHBv7WhXK5HAAYP2KAQe1sY2NNnZqGTVGtUCi++zoc8d/16Mkzwm2cUX58x+ebR+H+cawszPAPCEzq0IQQCcSgBOtD4Ec80qWJsTxDencCP35K8KCEEOJnEBkWzrt9ZzTJFYCJuRmmzsmo3Ksvl/xeaZXfc+Aoew4cBdRfwm+e3c+J0+c1F5frc+DISc4e3sqYSTO5GHWrAh0UCgWPnz7Hwd6eT18mGrCw0JXgWFDCuxBmZmY0a1iL9wEfMDMz1Sr3KFlergFlSxalf/3s2NracGrfRu4+eKh1jU7056RydSFZMkfSp3Pn04ubmJqaxvlrfZvmDWjTvEFcuxqAyhUMv9jf2K/DEf9dt+4/JfjGIcKu78XczJwR/bvSrUPLOK9pE0IYD4MSrJzZMrNg2XomjeqvtXz+0nXkzJY5UQITQoikpgwMQhWu1CRXGmamfIp2o1GFQoGNjTXJkjli86W3xSOdO6lTulKuVDGa1PclLCxcezhbtOSlemX17JYbl8/h9LmLWFro7u1xSu5Iqi83Gve7fwGFQhHnTGplShalTNR96KKZcy6Aa6feU7hAXtK4OQFQMH9uCubPbdC+ketwhPh3Wjf2pXbVstSoUo4pM//m9t0HklwJ8Ysx6BNy5MCe+DbtwokzFyhVTH1B7tGT57h49SbbVs5O7BiFECJJmDnYojA3w19pwgTHvNQOfUIR5VtMI1VsrdWI13WK067XIO4/fExQ0GdsrK3p1LoJXdo2x8kpGaC+x83KhdMNej2P9Gnx+HK/nbjIFzIhjFP0yW8a16tJ4XK+TP9zmPTKCvELif2nzy+qVSzNxSObyJLJg4PHznDg6GmyZPLgwuGNVKlQKrFjFCKG5y9e8VGGp4pEZmJhTopK3lwMtuCCuTP7LdyIDFcS5uePc+WilClTnNsXDrFuySwK5M3Fm7fv+GP0ZNLlLEavASN49vxlUldBCPETy+CRliyZMrD34LGkDkUIkYDiTLDCw8MpUqE+5mZmLJszgQuHN3Hh8CaWzZlALrn7t0gi6zbvwKdRW8LCwuIuLMR3cK5aHIeCOQCICAkj4uNnXH3L4FxVfSsEU1NT6teuzrkj2zi0fRWVy5ciKOgz0+cspnQ1uY+aECJ2TevXYuW6LUkdhhAiAcWZYJmbm3P/0RMZby9+Kj06tcbB3p7ufYdpZmsTIjEoTExwyJ8VALucGckysRcu1Uui+ObaJ4VCQdlSxdizaRmXT+yibfOGNKqbePe1EUL8GhrUqc6u/UdkVIYQvxCDhgg2rF2NVRu2J3YsQhjM1NSUlQumcersRWbOX5rU4Yj/CBNLC503Gf5WnlzZWTjzT8YM7fsDohJCGDPnFE6ULFqILTv3JXUoQogEYlC3lFMyR6bMXsLx0xcoXCA3tjbaNzsc9FunRAlOiNjY29uxbfVCilWqg1cmTyqVl+sBhRBCGJ+mDXxZumojzRvVSepQhBAJwKAEa8X6bSRP5sC9h4+59/Cx1jqFQiEJlkgyGTzSsnbxTOq37Mqx3WvxypwxqUMSQggh4qVm1Yp0/m0Ir/3ekNLVJanDEUJ8J70J1pNnL0ibJjUKhYKHlw/9yJiEiJdSxYswdmhffBq2438Ht5A8uWNShySEEOIXNv6EP6eeBsdYXnP1C6LuvV3U3ZqBJZ0M2p6trQ0+VSqwbvNOundslYCRCiGSgt5rsDLkLc+bt/4AlPNtQcCHwB8WlBDx1bZFQ2pUKUeDVl35f3t3HRZV9gZw/Dt0gyghiKIigthigd21ioXd3d0da3eu9bN77Vy7A7tr7cbGoJnfH6yjI+GowDD4fp6HZ51zzz33PXOUnXfOuedGRERoOxwhhBAp2JYbH7gcGKb6+ezKiy9lm2/82KYVDfyryW6CQqQQcSZYFuZmvHz1BoADRwIID5cPrSJ5Gze8HwYG+nTrN0LboQghhEjBGuWySpA6XytTogh37z/i39v3fjIqIURyEecSwVLFClGmRlO8smYBoHazLhjF8ZTxXev/lzjRCfEDDAwMWPW/6RQqU52/FiyjbYuG2g5JCCFECtQopxXzzrzjTUhUrMdtTPRo/IMJloGBAXVqVGHF35sY3KdLQoQphNCSOGewlswaS9e2TXBN74xCocDRPg3OaR1i/REiubC2tmLLqgUMGT2F/YeOaTscIYQQKZC5kR6t8sV9v2/LvNZYGGn0JBw10csEN8nzHYXQcXHOYFlaWtC7cysA9hw8xszxg0ltmyrJAhPiZ7lldmXlgmnUa9GZIzv/xi2zq7ZDEkIIkcLENYv1M7NXnxXIl5vIyEjOnLuEd96cCRGmEEILNPp65e75fZJcCZ1SqrgPQ/t2pWq9lryTDVqEEEIksLhmsX529gqiH33TwL8ay9du/MXohBDa9HO/AYTQAW1bNKRUMR/qNu9EZGSktsMRQgiRwjTKaUUqky8fpWyMf3726rP6tauxat0W+f+WEDpMEiyRok0ZM5iIiEh6Dx6t7VCEEEKkMN/OYrXMa/XTs1efZc2SGee0juw7KPcRC6GrJMESKZqBgQFrFs1ky469LFiyWtvhCCGESGEa5bRCXwH6ih/fmj0uskxQCN0W5yYXQqQUqVJZs2X1fIpVrIO7W0aK+hTQdkhCCCFSCHMjPQ41cwHA0lg/QdqsW7Mqw8dOIzg4BFNTkwRpUwiRdGQGS/wWsmbJzNI5k/Bv2oG79x5qOxwhhBApSFpLA9JaJtx31mkd7fHOk5MtO/YkWJtCiKSj0W+DLN7lUCgUMcoVCjAxNsY9syutGvtTrlSRBA9QiIRSrnQx+nVvT9V6LTm2ax2WlhbaDinFigoLJyLoIwZW5ugZxf6AciGEEHFr4F+NFX9vwr9GFW2HIoT4QRolWLWrVWDWghV4umemcP7cAJw4fYFrN2/TtF51Ll69QUX/VmxcNpM/KpRKzHiF+CWd2jTlyrWbNGjVlQ3L56CvnzDLOUQ0ZVQUL3cc5dWuEyjDI1AYGpC6XCHSVPRFoScT5kL8jjZce8/mGx9VrwM/Ru+O12fPC0wNon8vZEltSL8itrF+mfu7qvFHBbr0Hc7r12+xtbXRdjhCiB+g0Seed0Hvad+iPsd3rWbSn/2Y9Gc/jv2zig4t6xMeEcHejYvp2bE5IyfMTux4hfglCoWC6eOHEfT+PQOGj9d2OCnOyx1HCdx0AH1LM4wcbNG3NCNw0wFe7jiq7dCEEFqy/NJ7Dt4PVv2ERCgBCHgcqipbcDaI92FKLUeavFhZWVK+VDH+3rRd26EIIX6QRgnWqvXbaVa/RozyJnWrs+LvrQA08q/G9Vt3EjY6IRKBkZER65b+xdqN21m6ar22w0kxosLCebXrBEb2tugZRk+O6xkaYGRvy6tdJ4gKC9dyhEIIbaib3fK7daq4m2NlLLPc35LdBIXQTRr9NouMjOTm7Xsxym/evkdUVBQAxsZG6MkSIKEjUtumYvOq+fQY8CfHA85oO5wUISLoI8rwCFVy9ZmeoQHK8Agigj7GcaYQIiXz87AgvXXcdyQogE4FbZIsHl1SsWwJrly7xYOHj7UdihDiB2iUEfn7VaRll4EsWrGeazduc/3mbRYuX0frboOoW6MSAMdPnccjS6ZEDVaIhOTl6c7CWeOp2aid/M8rARhYmaMwNCAyPILtRs78qx/9rXXUf/diGViZazlCIYQ2GOgp6FjAJs7jVdzNcbM1SrqAdIiRkRE1q1Zg5d+btR2KEOIHaJRgTRszkNrVKtC2xxCy+1YhW+HKtOs5lFp/lGfq6IEA5M2ZjflTRyZqsEIktMrlS9GjYyuq1WvFx4+ftB2OTtMzMiR1uULceRvBZDMvZplmJSo8grDA16QuV0h2ExTiNxbXLJbMXn1fA38/lq/dpO0whBA/QKMEy8TEmGljBvL6dgDnDm7g/KGNvL4dwNQxAzE2jv7WKXs2d7w8syRqsEIkhu4dW5InlxeN23RXLXkVPydNRV/MShYEIDgCIt9/wr5aCdJU9NVyZEIIbYprFktmr76vSOH8vH0XxKUr17UdihBCQz9005SZmSk5vTzI6eWBmZlpYsUkRJJSKBTMnjSS5y9eMnT0FG2Ho9MUenrYFMkDgLGTHe7ju2JXuahs0S6EiDGLJbNXmtHT06N+raosX7NR26EIITSk0XOwlEolS1ZtZNf+Izx/8SrGt/z7Ni1JlOCESCrGxsasX/YXBUv5kS2rG3VrVdV2SDpPYaAvywKFECqfZ7F6734JQMmMpjJ7paEG/n5U9m/OqCG9ZUMxIXSARv9Kew8ZR8suA3n95h2uLs5kdk2v9iNESmBvl4ZNK+fRuc8wTp25oO1whBAixfHzsMDkv+e7x7fxhVCXw8sDG2srjhw/pe1QhBAa0GgGa+mazayYO4HafhUTOx4htCpndk/mTRtN9YZtOLl3I85OjtoOSQghUgwDPQXbGzjz5H0kuR1NtB2OTvm8TLCYb0FthyKE+A6NZrDCwyPIm8srsWMRIlmoVrkcHVo2olq9Vnz6FKztcIQQIkVxTWWET3q5j/tH1atVlXWbdxIWFqbtUIQQ36FRgtXIvyrrtvyT2LEIkWz07d4eD/fMNO/QC6VSqe1whBBC/OYypE9HNo8s7Nh9QNuhCCG+Q6MlgtZWloydOp9jAefInd0To29uXO/fvW2iBCeEtigUCuZPH0OJynUZOX46g3p31nZIQgghfnMNaldjxdpNVKtcTtuhCCHioVGCtWT1Rqwszblw+ToXLqs/h0GhUEiCJVIkExMTNq6YS4FSfmTLmoWa1eQeRCGEENpT268yfYaOISjoPVZWltoORwgRB40SrLvn9yV2HEIkS44O9mxcPpfyNRqTydWFPLmyazskIYQQvylbWxuK+xZkw9Z/aFK/lrbDEULEQaMES4jfWd7c2Zk9aSTV6rcmYN9GHB3stR2SECKF2nrzA/PPviPqv1s/774JB2Dw/pdYGkffNm1nps+UCvaq1+L30qC2H/OXrJYES4hkLM4Ea9Skv+jWrimmpiaMmvRXvI3IEkGR0tXyq8TVG7fwq9+aA9tWYWIi2wsLIRLewXvBXHwec5e4++8i1F4//xiBpbE8pPd39EfFMrTp2p9nzwPlCz8hkqk4E6x5S9bQpmkdTE1NmLdkTZwNyD1Y4ncxqHdnrly7SavO/VgyZxIKhULbIQkhUphGuaxYd+1DvHV8XExws5Xk6ndlampCtcplWbVuC13bt9B2OEKIWMSZYH1935XcgyVE9JcJC2dNoFhFf8ZOnk3f7u21HZIQIoXJ6WBMqYym7Lsb9zP4OhdMlYQRieSoQW0/+g8fLwmWEMmURgu47z14lNhxCKETzMxM2bRyHjPmLWHTtl3aDkcIkQLFl0D5uJhQwFmWKP/uShX34dGTp9z89462QxFCxEKjBCtz3rKUr9mC9Vt2ERER8f0ThEjBnJ0cWb/sL1p26svFy9e0HY4QIoX5PIsVG5m9EgD6+vrUrfkHy9ds1HYoQohYaJRg7du0GAf71DRq15t02YvTb/hE/r1zP7FjEyLZKpAvN9PGDaFqvZYEvnip7XCEEClMbImUzF6JrzWo7cfyNZtQKpXaDkUI8Q2NEqzivgVYMnscT64eZmCPduzce5isBSpQpnpT1mzYTnh4eGLHKUSyU69WNRr6V6dmo3aEhoZqOxwhRAoS2yyWzF6Jr+XLkwN9fX0CzpzXdihCiG/80EM0rK0s6diqIecObmTWhCEcOXGGeq164OxVjBHjZxIaGnNrWSFSsuEDumOX2pZ23QfKt4hCiAT1dUKVzc5IZq+EGoVCQf3aVVm+ZpO2QxFCfOOHEqz37z8wZ9EqvEvVoGPvEZQp7sOGpTMY2qcji1ZuoHazzokVpxDJkp6eHkvmTOLshctMnrlA2+EIIVKQnA7GpLeO3uy3rbe1lqMRyVGD2n6sXr9V7o8XIpmJc5v2r504dZ55S9awZtMOrCwtaNGgFhuWzMQlXVpVHZ8CeSlUzj/RAhUiubKwMGfzyvkUKlMdD/fMVCpXUtshCSFSiB0NnLn/NgIPO3nulYjJLbMrrumd2XPgCBXKlNB2OEKI/2g0g+VbsR5PngWyZNY4Hlw8wPD+XdSSK4AsmTJQr0aVRAlSiOQuvYsz65bOpmm7nly9fkvb4QghUghTQz1JrkS8Gvj7sWLtZm2HIYT4ikYzWP+e2UXGDC7x1jE3N2PhzNEJEpQQuqhwgXxMGNmfP+q04OS+jaRJbavtkIQQQqRwdWpUYcioyXz6FIyZWezb+wshkpZGM1jfS66EENEa16tJrWoVqdW4HWFhsumLEEKIxOVgb0dB79xs3r5b26EIIf4TZ4JlaO+FkUN2jX6EEF+MGtIbSwsLOvUaIjsLCiGESHQN/P1YvlZ2ExQiuYhzieC8KSNQKBQAvHn7jmHjZlKmeGGKFMoHwJETZ9h76ARDendImkiF0BH6+vqsmD8Vn3I1mTF3MZ3aNNV2SEIIIVIwv8rl6NR7CC9fvZbl6UIkA3HOYDWtX4Mm9arTpF51As5eYkD3tqxdNI0ubZvQpW0T1i6axoDubTl68myiBrhzzyGyFiiPW76yjJkyN8ZxpVJJ574jcctXlpxF/uDshSuqY8079sPevTDZfWTzDZG0LC0t2LxyPqMmzmTX3kPaDkcIIUQKZmlpQcUyJVi7YZu2QxEiSST3/ECje7C2/rMfv8plYpRXq1SaHYn44TEyMpIOvYezY818rh7fxsp1W7l6/V+1Ojv2HOLW7XvcOr2LuZNH0K7HUNWxpvVrsHPt/ESLT4j4ZHR1YfXCGTRs3Y0bt25rOxwhhBApmCwTFL8LXcgPNEqwTE1NOHH6fIzyE6fPY2qSeE+WDzhzEbeMGcjk6oKRkRF1a1Rm0469anU2bd9L47p+KBQKCuXPzdugIJ4+CwSgmE9+bFPJwxmF9hTzLcjoIb35o05L3rx5B0BYWBjb/tmn5ciEEEKkJOVLF+PGrTvcu/9Q26EIkah0IT/QaJv21o39addzKDf/vUfh/LlRKBQcPXmWqXOW0LlNo0QL7vHT57g4O6pep3Ny4OSZi9+p48jjp89J62j/w9c7f/EKb98F/XzAQsQic8b05MruSVm/BvTr3p4Bo6dz49o11i2djW0qG22Hl+Buvwkn+O4rXr4x4MDhB9oOJ0FcfBRM8N13PA434YCljbbDSRA3r38g+O4Hbhuac0Bpqe1wEsT9y+8IvhvM1bNWHHhrpu1whEhyPgXzMnLCDBr6+2k7FCF+WgmfvPEeT+r84GdolGCNGNCVNKlTMWHG/xg5cTYAzmkdGN6vM13aNkm04GLbge3zxhs/UkdTuXN6/dR5QnxPkcL5KVG5Lk069sckeznsPCxRKqFE0cLaDi3B2T4PxfTuE9LYG1GiqLO2w0kQH29+wDTwBc5ZzClRNGl+OSe2ayZvMf30hsw5rSlRJGXcFL8r7CWmvCdb3tSUyGGl7XCESHKGhoa07tKPedPG/PRnISG0LjI03sNJnR/8DI2WCAJ0aduEh5cP8u7ead7ePc3Dywfp2q5pogabzsmRh4+fqV4/evIcp28yz5h1nsWoI4S27dh9gAtX/8WkaHMsijYmwsGTfUcCtB2WEEKIFMSnYD4+fQrmwqWr2g5FiESjC/mBxgnWZ5aWFlhZWSRGLDHkz5uDW3fucff+Q8LCwli1fhtVK5RSq1O1YimWrNqIUqnkxKnzWFtZJtn0nxCa2L3vMNXqtcLIpzEW2aP//ho5e7Lv6CktRyaEbjv+MJjqq55QefljKi9/zM5/PwIwPeCtqqze3095FBSu5UiFSBoKhYL6tauxfI1sdiFSLl3ID344wUpKBgYGzBg3mPK1WuJZqBL+fhXx8szCXwtX8tfClQBUKlucTK4uuOUrS6uug5g1fojq/Hotu1O4fF1u/HuXdF7FWLB0rba6In5jBb1zM6hvV6ICVvBhw2CCb5/GyNGN27du8fHjJ22HJ4TOOvUkhAvPQ7n2MoxrL8N4GxIFwLMPkaqyk49DuPVKEizx+2jg78fKdZuJjIzUdihCJApdyA8Uytc3Yi5S/F3pG2s7ApGChYaGsmrdFv6cMp/HL4MIef+GDYunUaVMCSKCPmJgZY6ekaG2w/xlF5+H4rfqCdntjdhcL2Xcg7Xt5gc67XhBpSzmzKiUMmbIZ596y/hjb2iTz5o+OnoP1vMPERRf9JCweD5HZrQx5J9Gzhjoyf0o4veRu0hFJo8aRMliPtoORYgf9517sHRBsp7BEiIlMTY2pkn9Wtw4uYPtSyaR2dWFM1v2crPXFG4Pns3NXlN4se0wyqgobYcqhE5wsDCg/nc2s+hU0EaSK/HbaVDbjxVrN2s7DCF+W5JgCZHEFAoFxYsU4ujQQfhHmqNvaYaRgy36lmYEbjrAyx1HtR2iEDqjTT5rjPRjP5bRxpAq7uZJG5AQyUC9WlVZv2UnoaG6PxMghC6Kc5v2YyfPatyIT8H496sXQqiLCgvn1a4TGNnbomcY/c9Qz9AAI3tbXu06QeqyhVLEckEhEtvnWaxF52M+w1Bmr8TvKp1zWnJm92D7rv1U/6OCtsMR4rcTZ4JVpFJ9FAqFah/5z9uxf/saIPLltcSMUYgUJyLoI8rwCPQMDXipMMaISKyU0a8jwiOICPqIURobbYcphE5ok8+aFZeC1O7Fktkr8btrUNuP5Ws2SYIlhBbEuUTw7vm93Dm3h7vn97Jp+SwyuDgxbcxAzh3cyLmDG5k2ZiCu6Z3ZuGxmUsYrRIpgYGWOwtCAkPAoWln60NMiPwBR4REoDA0wsJIPhkJoKrZ7sWT2SvzualWryO4DR3j3LubsrhAiccU5g5XB5cvuXw1a92TSyH74VS6jKsuV3QMnR3tGTZrDH9/sPS+EiJ+ekSGpyxXi9tZjfLAzRBEVnVyFBb7GvloJWR4oxA9qk8+aJReCiFJCGjM9mb0Svz0bG2tKF/Nh3eadNG/kr+1whPitaLTJxZkLV/DycItRnt0zC+cvy/JAIX5Gmoq+pKnoC4BSGUXk+0/YVyuhKhNCaM7BwoACziYA1M9hJbNXQhD9TKzlazZqOwwhfjsaJVjpnBxZvGpDjPLFqzaQzskxwYMS4neg0NMjTbnCAOibmuA+vit2lYui0JPNPYX4GUurO7CtvhNdC6XSdihCJAuVy5fk3MUrPH7yTNuhCPFbiXOJ4Nf+HNCVeq16cOBIAL4F86JQKDh68izHT51nxdwJiR2jECmfQiHLAoX4Rfp6enjayQPjhfjMxMSE6lXKs2rdFnp0aqXtcIT4bWj0Vbl/9Uqc3reOjBnSsefgcXbtP4premcC9qzFv3qlxI5RCCGEEEL8BFkmKETS02gGCyBPzmws/Wt8YsYihBBCCCESUPEiBXn+4iXXbvyLZ9aY99MLIRLeD93sERYWxqPHz3jw6InajxBCCCGESH709fWpV7OqzGIJkYQ0msG6c+8hLTr35/DxM6oHDUP0Q4cVCoU8aFgIIYQQIplq4F+Nmo3aMWJgDxQK2WFTiMSmUYLVsssA3gV9YPmcCTg72aNA/nEKIYQQQuiC3Dm9MDEx5njAWXwK5tN2OEKkeBolWAFnL3H8n1XkyJY1seMRQgghhBAJSKFQUL92NZav2SgJlhBJQKN7sFycHImMjErsWIQQQgghRCKoX6saazduJzw8XNuhCJHiaZRgjR3ak/4jJvH6zdtEDkcIIYQQQiS0TBnT45YpA7v3H9F2KEKkeBotEewxaCxPn7/A0aMITo72GH3zQNSbp/5JlOCEEEIIIUTC+PxMrErlSmo7FCFSNI0SrIa1qyZ2HEIIIYQQIhH5V6/MgBHj+fDhIxYW5toOR4gUS6MEa0ifjokdhxBCCCGESER2aVLjW9CbTdt308DfT9vhCJFi/dCDhoUQQgghhO76vExQCJF4NEqwwsLCGDZ2BlkLlMckbQ7003iq/QghhBBCiOSvWqWyHAs4Q+CLl9oORYgUS6MEa9i4mcxdspp2zeqhUCgYOaArLRrWwjaVNdPHDkzsGIUQQgghRAIwNzejSvnSrNmwTduhCJFiaXQP1qr125gzaThVypdk0Oip+PtVJHPG9Hh5uHEs4BztWzRI7DiFEEL8go9hUay79oGPYdHPNDz5KASAc89CmH3qLQAmBgpqeFpgbaKvrTCFEEmggX81ho+dRsfWTbQdihApkkYJ1tPnL8jplRUAczMzgt5/AOCPCqUYMmZ64kUnhBAiQWy9+ZGhB17FKA94HErA41DV60gltMxrnZShCSGSWNmSRWnarhe379wnc6YM2g5HiBRHoyWCTo72BL6I/h+zq4szh46dAuDytZsYGMg3nUIIkdz5pjfBQIPf+EXTmyZ+MEIIrTIwMMC/emVW/L1J26EIkSJplGCVKlqIzTv2AdCiYS16Dx1P4XJ1qN+6J7WrVUjUAIUQQvy6dFaG1MpmGW+dSlnMyZrGKIkiEkJoUwP/aixfsxGlUqntUIRIcTRaIjh3ygjVP8BWTfyxsbbk8IkzNPSvSpumdRI1QCGEEAmjfX5r/r76noio2I93KmCTpPEIIbSnoHceIiIiOXv+Mvny5NB2OEKkKBolWAAKhUL159p+FantVzFRAhJCCJE4Ps9irbr8PsYxmb0S4veiUCioX7say9dulARLiAQmDxoWQojfSPv81rHeiyWzV0L8furXrsqqdVuIjIzUdihCpCiSYAkhxG8ktnuxZPZKiN+Th7sbaR3s2X/ouLZDESJFkQRLCCF+M+3zW6P3ZdW3zF4J8Rtr4O8nuwkKkcAkwRJCiN9MOitDcjsaA5DF1lBmr4T4jdWt+Qcbt+4iJCRE26EIkWJIgiWEEL+haRXtKJvJlFmV7bUdihBCi5zSOpA3V3a27tyn7VCESDE02kWwdddBsZYrFApMjI1wd8uIv19F7NLYJmhwQgghEoeTpSFz/nDUdhhCiGSggX/0boK1/CppOxQhUgSNEqxbd+5x7uI1wiMiyOqWEYCbt+9haGCAe2ZXFq/ayKBRUzmyfQXZPNwSNWAhhBBCCJFwavxRga79RvDmzTtSpbLWdjhC6DyNlgjWrlYB34J5eXT5IGcPbODsgQ08vHSAIoXy0bR+dR5dPkgh71z0HDw2kcMVQgghhBAJydrainIli/L3pu3aDkWIFEGjBGvctAWMHtydVDZfvtVIZWPNyAFdGTNlHhYW5gzp3ZEzF64kWqBCAESFhRP28i1RYeHaDkUIIYRIMT4vExRC/DqNlgg+f/GS8PCIGOXh4eG8ePUaAAf71Hz8FJyw0QnxH2VUFC93HOXVrhMowyNQGBqQulwh0lT0RaEne7UIIYQQv6Ji2RK06NiHh4+e4JLOSdvhCKHTNPpkWrSQNx17j+Du/Yeqsjv3HtKl358ULeQNwLUbt8kg/yBFInm54yiBmw6gb2mGkYMt+pZmBG46wMsdR7UdmhBCCKHzjI2NqVm1Iiv/3qztUITQeRolWHOnDCc4JAS3fOVwyOqDo4cvWbzL8Sk4hLlThgMQERnJ4F4dEjVY8XuKCgvn1a4TGNnbomcYPemqZ2iAkb0tr3adkOWCQgghRAKQZYJCJAyNlgi6pk/H+UOb2L3/KNdu3gYgW1Y3ypTwUdX5o0KpxIlQ/PYigj6iDI9QJVef6RkaEBEeQUTQR4zS2GgnOCGEECKFKOpTgDdvg7h89QbZs2XVdjhC6CyNEqzPypb0pWxJ38SKRYhYGViZozA0ICo8ghOmaQnSM6RC2BOi/rsXy8DKXNshCiGEEDpPT0+PejX/YPmajYwe2kfb4QihszROsG7ffcC+Qyd4/uIlUVFRascG9+6Y4IEJ8ZmekSGpyxUicNMBpniW5p3CiGIfH6MX+Br7aiXQMzLUdohCCCFEitDA348/6rbkz8G90JNNpIT4KRolWMvWbKJZx/6YmBjhYJcGhUKhOqZQKCTBEokuTcXomdOwGwqi9BSEfgwhQ7USqnIhhBBC/LocXh5YWphz9MRpivoU0HY4QugkjRKsIWOm07Njc0YO6Iq+vn5ixyREDAo9PewqF0XvwT0IU+I2vB02lsbaDksIIYRIURQKBQ1qV2P5mo2SYAnxkzSa+30W+JJWjf0luRLJQPTsqZ7RD90+KIQQQggN1a9djb837SAsLEzboQihkzRKsEoXK8S5i1cTOxYhhBBCCKFlGdKno0C+XNy4dUfboQihkzSaBmjkX40+wybw6MkzcmX3wMhQfVMBn4J5EyU4IYTQlqsvQnkdHL2hz/WX0d/ivvwUyZEHwQAY6kFuR2OMDeQmcCFEyrNt7UK1e+6FEJrTKMGq06IbAN0GjI5xTKFQEPnyWsJGJYQQWnTuaQg11zyNUR7wOITGG56pXrfKa02/orZJGZoQQiQJSa6E+HkaJVh3z+9N7DiEECLZcLYywEgfwiLjr5cxldwLKIQQQgh1Gn06yODinNhxCCFEsmFvbkC97FYsvhAUZx0nS31qeFomYVRCCCGE0AVx3jxw7ORZIiMjVX+O70cIIVKaNt7WGMWzcWqH/DYY6csSGiFSiktXrlOgZDVM7N1xzaH5MxZdc/gycvx01esSlevQsmOfxAgxSQ0dPRm33MW1HcZ3ffv+C5EcxDmDVaRSfZ5dP4q9XWqKVKqPQqFAqVTGqCf3YAkhUiJHi7hnsZws9amZTWavhEiunj0PxDVHEWysrXh49TiG32zOFZveg0djZWnB9VN7MTc3S4Iok7eenVrTsXWTBG+3Zcc+/Hv3Hge2rU7wtoVILuJMsO6e34tdGlvVn4UQ4nfTxtualZeDYtyLJbNXQiRv/1u6lsrlSnH91m02bdtNLb9K3z3n1u17NKlfE9cMLkkQYfJnYWGOhYW5tsMQQifFuUQwg4uzageZDC7O8f4IIURK9HkW62syeyVE8hYVFcW8xStpUr8mTerVZO6ilfHWv3f/IQprV27fvc/gPyehsHZl6OjJqvIjx0+p1XfLXZyhoydrFMvCZWuwSZ+DT5+C1cqHjZlCxhxFYl0ZtHvfYfRTZeLhoydq5avXbcHE3p23b98BMGD4eDzzl8bM0QOXbIVp27U/796pz7ifOXeJCjUaY5UuOxZO2ShQshonT59THd+z/whFK9TGzNEDa5ccFK/kz+0794GYSwQ/v960bRce3qUwT+tJySp1VfUB3rx5R8NWXUnv5YOpQ1ay5ivFxOnzVP0cOnoyC5au5uCRkyisXVFYu7Jo+VoAPnz4SJc+Q3H2KIiZowd5ilRi/eadav25cOkqPmVrYGLvjnvekqxZv1WjcRAiqWn8AJeoqChu3b7HkROnOXTslNqPEEKkVG28rfn6UVcyeyVE8rZr3yE+fgqmUrmSNKpbgwNHTnDn7oM467ukc+LpzQDSOaelT9e2PL0ZQM9OrRMklro1q6JAwdqN21RlUVFRLFy+lpaN68a6FXrpEr6kdbRn2eoNauVLV2+gWqWy2NhYA2BqasLcqaO5enI3i2ZN4MCRE3TuM1RV/8q1mxSr5E8qG2v2bV7BucPb6NahOVFR0c/327P/COVrNCZf7uwc372ek3s30LhuTcIjwuPsz9PngcxesIzl86ZybNc63r4NonnHXqrjoWGh5MiWlY3L53L15B4G9e7EkNGTVUlUz06tqV+7GoUL5OXpzQCe3gygTo0/UCqV/FG3BRcuX2P1whlcPr6Ldi0aUrd5J/YeOApAcHAIlWo3w8baipN7N7L4rwmMnzaXwBevfnBUhEh8Gu0iePbCFeq06Madew9jfNsi92AJIVIyRwsDfF1MOXg/GFMDhcxeCZHMzVm4ggb+1TAwMCCtoz1lSvgyf8kqRg3pHWt9fX19HB3s0dfXw8LCHEcHewBevnr9y7GYmprQqG4N5i1eRZP6tYDoGarHT57TvJF/rOfo6enR0N+Ppas30K9HBwACX7zkn72H2LhirqrewF6dVH92zeDC6CG9qdu8MwtnTUBPT48xk2fjlikDy+dPRU8v+luiLJkzqs4ZNnYqFcuWYMqYIaoyD3e3ePsTGhrG0rmTsUuTGoA+XdtSv2UXQkJCMDExwdHBnj7d2qnqZ3R14dTZC6xYu5lmDf2xsDDH1MQEIyND1fsMcODwcY4HnOX5rdNYW0evGmidsT4nTp9j+txFlC7hy/I1G3kX9J7l86aSKlV0krlw1nhyFC4fb8xCaINGCVbbHkPIlMGFZX+Nxzmtgzx8TgjxWxlW0pbGG57TJJeVzF4JkYw9fRbI1p37OLV/k6qsaf1adOk7jOEDumNgkPTPrmvTrD7ZC5Xj6vVbZPPIwrzFq6hcviRpHe3jPKdJ/VqMnfIXp85cIH++XKz8ezOpbW0oX7qYqs76zTuZMvt//HvnHkHvPxAVFUVYWBjPnr/AKa0DZ85fokKZ4qrk6ltnzl9izNAf2+3QKa2DKrkCcHZyRKlUEvjiFeldnImKimLclL9YtX4Ljx4/IyQ0lPDwiO/eTnLq7EXCwsJx9iykVh4WFk6WzK4AXL1xC093N1VyBZA9W1asreVLL5H8aPSb5sr1fzl3YAPubhm/X1kIIVKY9NZGHGgqN74LkdwtWLqaiIgIvEtUVSuPjIxk8/Y91KhaQeO2Picm367cCY+I+KGYvDzdKVI4P/OXrKJvt3Zs3rFHbSYqNp5Z3fDOk5Mlq9aTP18ulqxcT/3a1VQJ4snT56jdpD39urdn/Ih+pLKx5sSpczRp24OwsDBVO9/7QvxHvzA3+mY3xs/nf152OHH6PEZPns2kPweSN5cXlhYWTJ61gG279sXbblRUFNZWlpzavznmNY2ir6lUKuULfqEzNEqwPLJk4uWrN5JgCSGEECJZioqKYv6SVfTv0YF6tdQTrLFT/mLuohU/lGB9nql58vS5qizwxUseP3n2w7G1aVafrn2HY5vKBkcHOyqU+f7zpRrXq8HwsdNo2bgOZy9c5n8zx6mOHTl+mjSpbRk5qKeq7O+NO9TOz5c7B3sOHCEqKirWWax8uXPwz95DdGrT9If7E5dDxwKoULoYLRrXUZXdun1PrY6RkSGRkVFqZd55cvL2XRAhoaFkz5Y11ra9PNyZt3gVb9++U92HduXaTd69e59g8QuRUDTa5GL6mIH0HzmZC5evx7rjjRBCCCGENu3cc5AHD59EL8nLllXtp1mD2uzef4R79x9q3J6pqQm+hbwZN3UOFy5d5cy5SzRu0x1jY6Mfjq1WtYoAjBg3nRaN/ONctve1erWq8i7oPU3b9SRndg9y5cimOpY1SyZevHzFgiWruXP3AUtWrmPWgqVq5/fu0oZbt+/RoGUXTp+9yO0791m7YRvHA84AMKhXJ3bsPkDXvsO4ePkaN27dZtHytdy4dfuH+6eKyy0TB46cZP+hY9z89w4DR0zg5JnzanUyZnDh+s3bXLl2k5evXhMaGkqp4j6UKVGEGg3bsmHLTu7cfcCZc5eYPmcR8/7bBbJ+7WpYWpjTsHU3Lly6yolTZ2neoRempiY/Ha8QiSXOf+GG9l4YOWTHyCE7Jao25vDx0+QtUV2t/POPEEIIIYQ2zVm4nILeuUkfy/0+xYsUxC6NLfOX/NjDbf83cxwWFmb4lKtJ3eadaN20Pmkd4r53Ki4mJiY0qludiIgIWjSq8/0TgDSpbalcviTnL12lcd2aaseqVCjNgJ4d6T98PDl8yrNq3RbGj+inVieHlwcHtq3ixcvXFK9ch9xFKzFh+lz09fUBKFe6GNvXLuTk6fMULO1HgVJ+LF65DkOD7z+UOS6DeneiuG9BqtVvTeEyNXjz9h2dv5kha9GoDvnz5sSnXE3sMuVl5d+bUSgUbF41nxp/lKd7/5F45C9NZf9mbPtnH5kzZgDAzMyU7WsX8ur1GwqU8qNBy650a98Ce7vUsUQihHYplK9vxDoltWjFeo3XujapVz1Bg9IafWNtRyC+I9fs+7wPi+J82/RYGetrO5xf9jYkkrxzHmBtrMe5thm0HU6CuPg8FL9VT8hub8TmevKcPCGEAPBv0oHgkBC2rF6g7VCESN4iQ7UdwS+L8x6spvVrJGUcQgghhBApzps37zh8PIANW/9h98al3z9BCKHzNNrkYvvug+gpFFQoU0yt/J+9h1EqlTHKhRBCCCEE5ClWiVev39K7SxtKFC2s7XCEEElAo00u+o+YFOu2pBGRkfQbMSnBgxJCCCGESAnuXTrK+8dX+HNwL22HIoRIIholWLfu3Ce7Z5YY5V4ebty6cz/BgxJCCCGEEEIIXaRRgmVibMyz5y9jlD95GoihFp6KLoQQQggh4rdo+VoMbDPHW+fe/YcorF05cvxUEkX18zTpjxDJgUYJVqmiBRkyZjohIV929QgODmHo2BmUKloo0YITvyYqLJywl2+JCgvXdihCCCFEoouKimL42Km45S6OqUNW0nv50Ln3UD5+/KRW7+Tpc/iUrYGJvTtp3fPTb+hYIiMjtRS1ECKl0Wj6aezQXvhUqEumvKXxyZ8XhQKOBpwlKkrJke0rEjtG8YOUUVG83HGUV7tOoAyPQGFoQOpyhUhT0ReFBg83FEIIIXTRxOnzGD9tLotmTSBf7uzcuHWHZh16ERoaypypowF4+OgJZf0aUbNqBeZNG8Ot23dp3qE3SqWSMcP6arkHMYWFhWFk9OMPNxZCaI9Gn7Yzubpw4dAmWjSoRXBICJ+CQ2jZsDbnD27ELVPKeHZPSvJyx1ECNx1A39IMIwdb9C3NCNx0gJc7jmo7NCGEECLRHD15mnIli1KzWkVcM7hQvkxx6tWqSsCZC6o6sxcsw8rSggUzxuHl6Y5flfKMGNiD6XMXx5jp+mzIqElkzVcqRnmz9j0pUfnLg4PPnLtEOb9GWDhlwy5TXmo0aMP9B49Ux+/ee0iNBm1wyloAM0cPchQuz9JV69XaLFG5Di069GbQyImkdc+Ps0fcK4VOnDpLsYr+mDpkJVX6nNRv0ZnAFzFv6fjamvVbcctdHBN7d3zK1uDilevx1gdo2q4HZao2YO7CFWTI7otVuuxUq9eSFy9fqdVbvOJvshUog7GdO+k8CzFwxAQi/tskbc/+IxjbufPpUzAAISEhmNi7U6R8LdX5+w8dw8A2M0FB7+ON5+iJ0+QtWhkzRw/yl6jKmXOXVMeUSiWtOvUlc65imDpkJVPOovQfNo7Q0C+rsB49fkrNhm1JkzGPqs74qXO++z4IoSmNEqwHj55gb5eaEQO6sm31XLatnsvw/l1wdLDjwaMniR2j+AFRYeG82nUCI3tb9AyjJyj1DA0wsrfl1a4TslxQCCFEilWkUH6OnjzNxcvXALhz9wHbd+2ncvkvydHRk6cpV6ooel+t6KhQujifPgVz7uKVWNtt1aQet+/e5+CRE6qy9+8/sHbjdlo1qQfA1eu3KF65DoUL5OH0gc3s27ICfX19yvo1IiQkBIAPHz9SuoQvO9ct5tKxf2jdtB7N2vdi/6Fjatdbs3EbL16+Yu/mFezbEvtKoWfPAylXvTHpnBwJ2LeJLasXcPnaTWo2ahfn+3PuwmXqNu9Ebb9KXDi6g56dWtOlz7D43lKVU+cusv/wcbat+R871y3m/KVr9Bz4p+r4tn/20bxDbxrVqc6l4zuZOHIAM+ctYdiYqQD4FvJGoYDDxwIAOHriDJYWFgScucCHDx8B2HfoON55cmBlZRlnHFFRUfQbNo6pY4dw9tBWUtlY49+0gyqRUyqVONinYcWCqVwL2MOUMYNZuHwtoybOVLXRvscg3gW9Z8+mZVwL2MOCGWNJ5+yo0fsghCY0WiKYMXdpnl47gr1darXyV6/fkDF3aSJfXkuU4MSPiwj6iDI8Aj1DA6KAUPQxJRI9QwMiwiOICPqIURobbYcpUpjwSCXBEUoAPoZFARAZpSQoNPrPCsDSWJanCiESV49OrQgOCSFvsSooFAoiIiJo1aQeIwb2UNV5+uwFvgW91c5zdLD771hgrO2mc05LpXIlmbd4FcWLRM8orVi7CWMjI2pWrQDAuKl/UaV8KYb17646b9m8yaTKkIudew7iV6U8Obw8yOHloTreqU1T9hw4woq1mylZzEdVntbBnlmTRqolgd+aOW8pVpYWLJo9QbWEcOmcSeQuUolDR09SzLdgjHMmzphPofx5GD20DwBZs2TmybPndOo1JM7rfGZkaMii2RMwNjYGoF3zBkz9a6Hq+JjJs6lZtSL9enQAwN0tE88CX9B36FgG9e6EqakJhfLnYe/BY5QvU5x9h45RtWIZjp86y6FjAVQqV5J9h45R6qv3ITZKpZIpoweTN3d2AIYP6EbhMjW4ffc+WbNkRk9Pj5GDeqrqu2Zw4fbd+8yav0w1NvcfPqJ6lfLkzumlqiNEQtLoE49SqYy1/NOnEIyNZV1wcmJgZY7C0ICo8AjGm2WnrnVxghSGRP13L5aBlbm2QxQpzJvgSAoveEDuv+6T+6/7NFj/DIBrL8NVZbn+us+Q/fEvWxFCiF/198btzF6wjIWzxnP20FbWLp7Fjj0HGDhiQrznKRQKtf/Gpk2z+qzbvIM3b94BMG/xKhrVrY6JiQkAp85eZMPWXVg4ZVP9pM6Yh5CQUG7dvgfAp0/B9B0yBq+CZbHNkAsLp2xs33WA+w8fq10rX+7squTq8LEAtTZHTYieibly7SaFvPOo3Z+VK0c2rK0tuXLtZqx9uHr9Vozkskgh71jrfsszq5squQJwdnLkeeCX3+tXrt2kmG8BtXOK+xYkJCSU23cfAFCqmA/7/put23foGKVL+FKyaGH2HTzGhw8fOXX24ncTLIVCQa4cnl/iSBs98/R1LPMWraRgqWo4uHlj4ZSNfsPGqb3HXds1Z9TEWRQsVY0+g0dz6OhJjd4DITQV7wzW8HEzgOi/zBNmLMDC3Ex1LDIyiqMBZ/HycEvcCMUP0TMyJHW5QgRuOsBdG3M+KQx4FmVI+sDH2FcrgZ6RobZDFCmMvp6C4PDYv4T5Wmjk9+sIIcSv6DHwT7q0bUajujUAyOHlQXBICM079GZQ706YmJiQ1tGOZ4Ev1M579jz69eeZrNhULFsCB/s0LF29nmI+BThz/hKL/5qoOh4VFUWjOtXp2y3mEr3UtqkA6DVoFJu272biyAF4uGfG3MyMHgNH8u6be47Mzb583vLOk5Pzh7erXtumslH9Oa6EMK5ypVIZbxIZHyND9c8PCoUixhfw37b9+fjn4lLFfBg2ZioPHj7mzPnLlCpWGGMjI0aOn07pEj7o6Snw/U7Cp6enh76+foxrRkVFr5hYu2EbHXoOZszQPhT3LYiVlQVrN2xnwIjxqnOaNfSnQpkS7NxzgP2HT1CxVlOqVynPsnlTNH9DhIhHvAnW0jWbgeh/IH9v/kftL7SRoSEZM6Rj7MSecZ0utCRNRV8AlFeif9lEfQzBvloJVbkQCcnKWI+GOa2Yd/ZdnHX0FNA6n03SBSWE+C19/PgpxrI6fX19lEoln3MB34LeLF29gaioKFXdnXsOYmZmSp7/lozFRk9Pj5aN6zJv8Spu3LqDT8F8eHm6q45758nJxSvXyZwpQ5xJzKFjATSoXY06Nf8AopOCm//excE+TZzXNTU1wS2za4xyL093Fi5fq7bL4IVLV3n37r1aXN+ec/TkabWyoyfPxHntH+Hl6c7BIyfp0KqxquzQsQBMTU3I5JoegILeuTE1NWH42GlkyeyKo4M9JYsWpk6zjqzduJ1C+fNgamryS3EcOhZAnpzZ6N6xpars3lcbjXyW1tGeZg39adbQn0plS1CvRWdmTRwR7/1fQmgq3iWCt07v4tbpXRT3zc+Z/etVr2+d3sWV49vYumoO+f5bAyuSD4WeHnaVi2LsbA9A+q71satcVLZoF4mmVT5rTAzi/la0WlYLMqWS2VMhROLyq1yOCdPnsWHLTu7df8g/ew4ycMQEKpYtofrg3q5FQ94FvadVp75cuXaTzdt3M+jPiXRq3QTzr1bqxKZFozpcv3mb+UtW07ppPbVj/Xt04NrNf2nYqisBZ85z995D9h86Rpc+Q7nz3xK5rG6Z2LR9NwFnznP1+i1ad+7Hkzju+/qejq0bE/T+A03b9eTy1RscOX6KRm26U6Rwfor6FIj1nG7tW3A84CwDho/n5r932LBlJxOnz/up63+rX/f2rNu8gzGTZnHz3zusWb+VoaOn0KNjK1UCaGhoSJFC3ixeuU61FNDW1oYc2bKydNWG7y4P1ETWLJm4dPUGm7bt4vad+0yd/T/Wb9mpVqdjz8Fs37Wf23fuc+XaTdZv+QeXdE5YWlr88vWFAA3vwdq/eSmpbKwTOxaRwD5/g/Z5N0EhEksaM30a5bSK9ZieAjoUsEnagIQQv6Vp44bSuG4Negz4E4/8pWnVpR8VyhRn8ewvS/lc0jmxa8MSrt38l3zFq9C6Sz9aN63Hn4N7fbf9tI72VKlQClNTY/yrV1E75pnVjWO71vHh40fKV29MtoJlaNW5H8HBodhYR/9+nDx6EBlcnClZpR6lq9bH2cmBWlUr/lRfHezt2LVhCY+ePCN/yapUqdOc7J7urFs6O85z8uXJwYr5U1m1bgs5CldgzOTZTB496Keu/61K5Uryv5njWLxyHdkLladb/xG0b9mIIX27qNUrXdyXiIgIShUrrCorVdznv7JfT7DaNKtPozrVada+F3mKVebk6fMM7ddVrY5SqaRr3+FkL1yOYhX9+fjpEzv+XvTTyyeF+JZC+fqGRjdG/HvnPms37eT+w8eEfbPV9/9mjE6U4JKcvvH36+iQKisec/VFGFvqOeFlnzL6lmv2fd6HRXG+bXqsjPW/f0Iy9zYkkrxzHmBtrMe5trr9TLmXnyIptvAhIRHqv1Kqe1gwsXzc9zUIIYQuKVCyGgW9czN9vGbbmwshflBk6PfrJHMaTW38s/cw1Rq2xyNLJq7euE2u7Fm5c+8RUVFR5M+TI7FjFELogM+zWF/fiyWzV0KIlCLwxUs2bdvN2QuXWblgmrbDEUIkYxotERw0eiq9O7Xk/KFNGBsbsnrBFB5c3E8xH29q/FE2sWMUQuiIVvmsMfpqYlHuvRJCpBQObt70GTKGqWOHkDmTbq84EEIkLo0SrGs3b9O4rh8ABvoGBAeHYG5uxrC+nRk3bX5ixieE0CFpzPSplOXLs9Zk9koIkVIo393j9f0LarvkCSFEbDRKsMxMTYmMjATA0T4N9/57WJuBvj7PX7xKvOiEEDqnR+FUmBooKJzORGavhBBCCPHb0egerHy5vAg4e5GsWTJRsmhB+o+YxKMnz1i+dgt5vnqathBCOFsZcqWDq7bDEEIIIYTQCo1msP4c2I306ZwAGN6vM+mcHOk1eBzBISHMmTQ8UQMUQgghhNAFBw4fR2HtyqPHT+Otp7B2ZdnqDVq7/u/MNYcvI8dP16iuvJ/iZ2k0g5UnZzbVn9OktmXb6rmJFpAQQgghhIifW+7iNKzjx9B+3bQdik45tX8zZqam2g5DpHAazWDdvf+Qm//ejVF+6/Y97j14lOBBCSGEEEL8qrCwMG2HIJKJz38X7NKkxtzcTMvRiJROowSreaf+HD15Nkb5sYBztOg8IMGDEkIIIYT4USUq16FFh94MGjmRtO75cfYoBMCJU2cpVtEfU4espEqfk/otOhP44qXqvKGjJ+OWu7haW0eOn0Jh7cq9+w9VZSv/3kTmXMUwsXfHp2wNtu7ci8LalSPHT6mde+3GvxSr6I+ZowfZCpThnz0H44y5SdvulPNrFKO8ZJW6NG3XI85+3r57n2FjpqKwdo0R5/eu/zzwBU3b9cAuU14snb3wLVeTQ0dPxhkjwJVrNylfvRE26XNgntYTz/ylWbpqver41Nn/I3eRilg4ZcMxizd1m3Xk6bNA1fHPy+2279pP4TLVMXXISr5iVbhy7SZXrt2kSPlamDl6UKBkNa5ev6V27TPnLlHOrxEWTtmwy5SXGg3acP87X/C75vBl4IgJtO8+kNSuufEtV0tV/vUSwU3bdpGnSCXMHD2wSZ+DAiWrce7C5VjbjIqKomPPwaTzLMTlqzfivb74vWmUYJ27eA3fgnljlBfOn5uzF67+chA79xwia4HyuOUry5gpMZcfKpVKOvcdiVu+suQs8gdnL1z57rlrN+7Aq3Bl9FJ7cPrcpV+OUQghhBDJ35qN23jx8hV7N69g35YVPHseSLnqjUnn5EjAvk1sWb2Ay9duUrNRux9q98y5SzRo2ZV6tapy4egOendpQ9e+sd+H3nPQn/Tv0Z4LR3fgnScndZp35O3bd7HWbdu8AXsOHOHuvS8J0u079zl45CStmtSL9Zz1S+fgmj4dPTq24unNAJ7eDMDlv3vlv3f94OAQSlapx/v3H9nx9yLOHdpGpbIlKevXiGs3/o2z//VadCa1bSqO7VrPpWP/MGnUQFLZWKvVmTBiAJeO/cOG5XN48OgJdZt3jNHOgOHj+XNQL84c3IqRkSH1WnSmXfeBDOvXTVXWrH1PVf2r129RvHIdChfIw+kDm9m3ZQX6+vqU9WtESEhInPECTJuzCHu71Bzfs57Ff02McfzZ80BqN+lAvVpVuXJiN8d3b6Br++YYGMS8gyYkJITajduz79Axju1aR/ZsWeO9tkhcyT130CjBCo+IIDSWafbQsDDCwsN/KYDIyEg69B7OjjXzuXp8GyvXbeXqdfV/4Dv2HOLW7XvcOr2LuZNH0K7H0O+em93TnfVLplPMJ/8vxSeEEEII3ZHWwZ5Zk0aSzSMLObw8mDlvKVaWFiyaPYEcXh4UKZyfpXMmceT4qe/O2nxt0sz5+BbyZuSgnmTNkhm/KuXp2alVrHWH9OlKhTIlyJI5I+OG9+Xdu/ecPH0+1rqFC+Qje7asLFi6WlU2f8kqPLO64VvIO9ZzbG1t0NfXx8LCDEcHexwd7NHX//KU9/iuv3r9FoLef2D1ohl4582JW2ZXBvTqiG/BfMxZuDzO/t9/+JhypYqSzSMLmTKmp2LZklSpUFp1vEu75pQpWYSMri4ULpCPmROGc+hoAI+fPFN/b/p2oVRxH7J5ZKF7h5ZcunKdLm2bUbqEL55Z3ejRsSUBZy7w4cNHAMZN/Ysq5UsxrH93PNzdyOHlwbJ5k3n05Ck745kZBMifJydD+3XD3S0T2TyyxDj+9Fkg4eHh+FevTEZXFzyzulG/djVyeHmo1Xv7Lohy1RvzLPAFR3b+TXoX53ivKxKXLuQOGiVY+XJ5sWhFzN1u/rdsHbmze8RyhuYCzlzELWMGMrm6YGRkRN0aldm0Y69anU3b99K4rh8KhYJC+XPzNiiIp88C4z3XM2tmsmbJ9EuxCSGEEEK35MudHT29Lx9vrly7SSHvPBgZGanKcuXIhrW1JVeu3dS43avXb1HIO49aWeECMVf3AOTO8WVzsM/Jz/OvliR+q02z+ixcvpbIyEgiIiJYtOJvWjWpq3FsP3L9U2cv8uz5C2zS58TCKZvq5/DxU9y6fS/ONnt2akXLTn0pUbkOQ0dP5ux59WV0Bw4fp3z1RrhkK4ylsxdFKtQGohOzr+XK/nVsdgDk/Oqz5OeywP+es3rq7EU2bN2lFmvqjHkICQmNN16AAvlyxXs8Z3ZPypcuRvbC5aneoDVTZ/+Ph4+exKhXqXYzAPZsWo6trU28bYrEpwu5g0a7CA7u1YEKtVvy7937lC3hi0Kh4J99h9mx5zDbf3FHwcdPn+Pi7Kh6nc7JgZNnLn6njiOPnz7X6Nwfcf7iFd6+C/rp85ObVzdfEvw2goCTD3lhkzIe+Prh9nOCI5QcPvoEc0ONvh9I1j6ERRF8NxA9QwUHDsf8pS6EEEJzb98GYW5mxoHDx1VlL1+9Rk9PT60MICIiklu373Lg8HHuP3xMcHCwWp1zF6OXFJ04dY57Dx7x4eNHHj5+olbn3zv3o+teuExERATnL0bfNnHm/EUePPqSWCiVSq5ev6V27rUbX167pnfm9Zu3jJk8C2WUklev35LJNX2MmL8WHBLCvfuP1Opocv1Hj5+SPp0TIwZ0j9GmsbFRnNcsWjg/S+ZMJODMBfYfOs6fE2ZQt+YftGhUh+eBL2nSrgdlSxald5c2WFtZ8uLla3oO/JOA0+cJCwtTxXb63AXuP4y+f+rSlevR8Z67pJrp+nz/1fGAMzx49JgPHz5SpoQv9WtVjRGTlZVFnPGGhIQS+OJljOMhIaHcvfdAVd6na1uq3bzNmQuX+d/SNfQePJqhfbtSuEBeVcz5cmVn556DzF6wlLy5ssd6PZFwSvjE/sXFZ8kpd4iLRglWmRI+7Fw7n+HjZ9Jn2AQgelZr++q5lC3p+0sBKJXKGGUKhUKjOpqc+yNy5/T66XOTo9QPH/P8RRgFCjrhZW+s7XAShMXl+yjDoijqmx4rY/3vn5DMvQ2JxPTyAyyN9ShRNIO2wxFCCJ1mY2NFWgd7ShQtrCorXqQQC5evxadgPtUs1oVLV/n48RPV/6hAUZ8CXL95m7837aCoTwHVUrsz/83QFMqfB9cMLhTIl5sHj56otX3j1h0A8uTKTpHCX5YVFS6Qj3TOaVWvFQoFHu6Z1c71zJpF7XWD2n6cOHWeqKgoavtVomqlsvH21drKEpd0TmptaHL923cfsOfgUcqWKoq9XZp4rxGb+rX9ABgzaRbjp81l6dwprNu0g9DQMNYsmompqQkAK9ZuAiB3zmxqMX4d2+d7nT6/xwAmJtGfVwp658EtsyvFfAty49Yd6vv7/dBnPBMTYzK6po/x/sRWXrKYj+rPFWo05vS5S/Tr0UFVNn38MFat28LAkRPZuHwu5UoX0zgO8RMiQ+M9nJxyh7hoPAVQpoQPh7Yt5+Oj83x8dJ5D25b/cnIF0Rnlw8df1uc+evIcJ0f779R5hpOjvUbnCiGEEOL31bF1Y4Lef6Bpu55cvnqDI8dP0ahNd4oUzk9RnwIAlCxWmE+fghk0ciK379xn7YZtzJy3RK2d7h1acvTEaQb/OYmb/95h8/bdTJwxH0iYD2htmtVnx+4D/LP3EK2bxr65xdcyZnDh6InTPHj4mJevXhMVFaXRdRr4VyNjBhcq127Orr2HuHf/ISdPn2P0xJls3PpPrOd8+PCRDj0Gse/gMe7ee8i5C5fZufeg6r6mLJldUSgUTJwxj7v3HrJx6z8MHztV887Ho3+PDly7+S8NW3Ul4Mx57t57yP5Dx+jSZyh37j74pbaPnTzDiHHTOHn6HA8ePmbvgaNcvHI91vu1enZuzZihfahWvxXb/tn3S9cVv0YXcgetr7HKnzcHt+7c4+79h4SFhbFq/TaqViilVqdqxVIsWbURpVLJiVPnsbayJK2jvUbnCiGEEOL35WBvx64NS3j05Bn5S1alSp3mZPd0Z93S2ao6WbNkZt60Maxat4Xshcvxv2VrGDW4l1o7+fLkYPn8KSxfs5EchSswetIsRg6M3kbdxPjXV4nkz5eLHNmykjljBooXKfTd+sP6deNd0HuyepfCLlNeHnxzr1NcTExMOLh9Nd55ctCsQy/c85WiRsO2BJy9QIY4Nm8wMNDnzdt3tOjYG88CpSlfowkOdmlYMT86icqZ3ZPp44cxZ+EKshUsw4Tp85gyZrDmnY+HZ1Y3ju1ax4ePHylfvTHZCpahVed+BAeHYmNt9UttW1tZcjzgLNXqtSJL3pI079ibBrX9GNS7U6z1O7dtxqQ/B1KzUVs2bdv1S9cWP08XcgeF8vWNmHNlSWz77oN07T+KyMhImjeoyYAe7fhr4UoA2jarh1KppGPv4ezcexgzU1MWzhiFd54ccZ4LsGHrbjr1GcGLV6+xsbYid3ZP/lm3IP5A9FPGMrrPqqx4zNUXYWypl3KWCOaafZ/3YVGcb5tylgjmnfMAa2M9zrWVJYJCCKFLlqxcR7P2vXh19xw232xZ/qMiIiLIkN2X7h1a0iOO3QmF+C18Z4kgJKPcIQ7JIsFKNiTBSvYkwRJCCKEtE6bNpWTRwtimsuHU2Qt06TuM4r4FWbVwxk+3GRUVReCLl8xZuIJJMxfw4PJRrH9xZkYInaZBgpXcabTJhRBCCCHE7+7iletMnDGP12/e4eKclob+1RnWv9svtfng4WMy5ixKWkd7Fs4cL8mVEClAnAlWpjylObX3b1LbpmL4uBn07NgCMzPTpIxNCCGEECLZWDJnUoK36ZrBBeW7ewnerhBCe+Lc5OLp8xd8+hQCwLBxM/nw8VOSBSWEEEIIIYQQuijOBCtntqy06DyAPyfORqlUMuWvxYya9FesP0IIIYQQuiAo6D3VG7TGKl12FNau3Lv/UONzFdauLFu9QeP6Q0dPxi138Z8J86dMn7OIdJ6F0LPJyNDRk5Psutqmyft84PBxFNauPHr8NImiEr+zOJcILpj2J72HjmfRyg0oFAqWrdmMvn7MfEyhUNC/e9tEDVIIIYQQIiHMXrCM4wFnOfrP39ilscUuTepEu1bPTq3p2LpJorX/tSdPn9O173CmjRtKjT8qYGlhniTXTQ6S8n0WQhNxJljZs7mzfc08APRSe3B63zrs7RLvl5AQQgghRGK7dfseXh7u5PDySPRrWViYY5FEic6dew+IioqiasUypI3jwalRUVEolUr09XV/F96vJeX7LIQmNHrQ8N3ze7FLY5vYsQghhBBC/LTw8HD6DhmDs0dBjNJkIVuBMqxYu0l13DWHLwuWrmbfoWMorF0pUblOnG3tP3SMnD4VMLF3J6dPBfYfOqZ2vHglf1p37qdWplQqyZyrmGp53rdL1z6/3rRtFx7epTBP60nJKnW5fee+Wjsr/95E5lzFMLF3x6dsDbbu3IvC2pUjx0/FGuvQ0ZMpWqE2AOm9fFRLHz9fb/W6LXh4l8IoTRau3fiXp88CqdusIzbpc2DqkJUSletw+uxFVXufl9Nt37WfwmWqY+qQlXzFqnDl2k2uXLtJkfK1MHP0oEDJaly9fiu+IQFg5rwlZCtQBmM7d+wz56NWo3aqY+/ff6BNl37YZcqLib073sX/YNfeQ6rjvuVqxnifAbIVKEPfIWNifZ/hy3JJM0cPyldvxINHT74b5+59hylRuQ62GXJh7ZKD4pX8CThzXq3O/MWr8MxfGhN7d1K75qZYRX9Zdihi0CjByuDizJu37xg5YRb1Wnanfqse/DlxNq/fvE3k8IQQQgghNNN/2HjmLV7FlNGDuXziHxr6V6dhq67sPXAUgFP7N+NfvTJFfQrw9GYA65fOibWdJ0+fU6VOC/Llzs7ZQ9uYOHIAXfoOV6vTtnkDVq7bzIcPH1Vl+w4e496DRzRv6B9njE+fBzJ7wTKWz5vKsV3rePs2iOYde6mOnzl3iQYtu1KvVlUuHN1B7y5t6PrNtb/Vs1Nr1i2Nvif+7KGtPL0ZgEs6p+i+PHvOrAVLWTR7AlcDdpPBxRm/+q24fus2W1f/j4B9m3CwS0NZv4a8fPVard0Bw8fz56BenDm4FSMjQ+q16Ey77gMZ1q+bqqxZ+57xxjZk1CT6DBlD+5aNuHR8JzvXLSZ3zmyq48079OaffYdYNncy5w5vx7dQPqrUacH1m/8C0LhuDdZs3EpISIjqnNNnL3Ltxr80rlcz1mtu2raLbv1G0L1DS84f2Y5/9Sr0GjQ63jgBPnz8SIeWjTmxdwPHdq0jS6aMVKjRhFev3wDRY9O22wD6dW/PjdP7OLBtFY3r1vhuu+L3o1GCdeb8ZdzylWPW/1YQEhrKp+BgZi5YThbv8py7eDWxYxRCCCGEiNenT8FMm7OIEQN6ULt6ZdzdMtG/ZweqVS7LnxOiHwRslyY1pqYmGBka4uhgj62tTaxtzZq/lDSpbZk3bQzZPLJQtlRRRg3upVanZtWKmBgbs2rdFlXZ/CWrqFCmOOldnOOMMzQ0jKVzJ5MvTw5y5chGn65tOXzslCqBmDRzPr6FvBk5qCdZs2TGr0p5enZqFW/fLSzMsU1lreqjo4O9ahlgSEgoS+dMplD+vLi7ZSLgzAUCzlxgxfxpFCmcnxxeHiyZMwkTE2NmzV+q1u6Qvl0oVdyHbB5Z6N6hJZeuXKdL22aULuGLZ1Y3enRsScCZC2pJ5tc+fvzEuKlzGNq3Kx1bN8HdLRN5c2dnYK9OAPx7+x5/b9rOrIkjKV+mOJ5Z3Zg6dijZPd0ZNzU6+a1TowqhoWFs2rZb1e6SVevxzpOTbB5ZYr3u+GlzqVOjCt07tsTdLRMtGtehUZ3q8b6HANX/qKD6u+Pl6c7caaNRKpXs3HMQgAePHmNuboZf5XJkSJ+OHF4etGxSl3TOab/btvi9aJRg9Rw8lnIlfbl3fh8bls5k47JZ3D23jzLFC9N94Pe/ERBCCCGESEz/3rlHWFgYxXwLqJUX9y3IFQ2WsX3t6vVbFMibCwODL7eqFynkrVbHyMiIpvVrMW/xSgBevX7Dhq3/0KpJ3XjbdkrroLaxhrOTI0qlksAXr1TXLuSdR+2cwgXy/lD8X3OwT6OW8F25fpPUtqnUkhNjY2MKeufmyrWbaufmyv5lpsnRwQ6AnNk9YpR9jv1bV67fJCQklHKlisZ6/OqN6HEp5qM+ZsV8C6hisbGx5o8KZViyaj0AERERrFq3hSb1Y5+9guj30KdgPrWyIoW946j9xd17D2nUuhtuuYtjlS47Vumy8y7oPfcfPAagbMmiZMrgQsacRanbrCNzF66IMesnBGiYYJ08c5FBPdtjZGSkKjM2NmJQz/YEnL2UaMEJIYQQQvwIhUKh9lqpVPJN0XcpUcZo59vXAG2a1efU2YtcvHyNpavWY5vKhioVSsfbtpGhYaztRkVFxXutn2VuZhajLLb2o98n9XJDwy8J5udjhgYxy76OPTY/2p9vY2lSvya79h3meeALduw+wNt3QdSt+Uf81+TH38MqdZrz4NFjZk4Yzok9Gzh/eDv2dqkJCw8DomcKTx/cwoblc3B3y8Rf/1uOW57inDknn4WFOo0SLGMjI4Lef4hRHvT+A8ZfJV1CCCGEENrglskVY2MjDh45qVZ+6FgAXh7uP9SWl4c7J8+cJzIyUlV25MTpmNfM7EqpYj7MW7yK+UtW06xBbbVZr5+RzSMLx0+dVSs7cercL7X5NS8Pd16+eq22OUVoaCgBZy7g5flj79P3ZMuaBRMTY/75atOKb2OB6DH62uFjp9TGrHzpYqS2tWHF2k0sXbWByuVLkiZ13JuvZfPIwtGT6uN19MSZeGN99foNV6/fom+3dpQvU5xsHtGxfzs7p6+vTzHfggwf0J0zh7aS1sGeFX9viqNV8bvS6LdA+VJF6NB7OCvnTSRrlkwAXL95m459RlChdOzTvkIIIYQQScXMzJTObZox6M+J2KWxJXfObKzdsJ1N23aze+OyH2qrXYuGTJo5n9ad+9Gzc2uePH3OgBHjY63bpll9GrbuRnh4OFtWLfjlfnTv0JL8Jasy+M9JNKzjx/Wbt5k4Yz6QMDNbpYr7UCBfLuq37MzMCSOwtrJkxLhphISE0q5Fw19u/2sWFub06NiKoWOmYGpqQtmSRQgODmH7rv3069GBzJkyUNuvMu17DGTO5FFkSO/M7AXLuHztJisWTFW1Y2BgQP3a1Zi7aCX3Hjxixfyp8VwVenRsSe0mHSiQLxeVypXkyPFTLF29Pt5zUtlYY5cmNfMWrSJzxgy8ev2G3oPHYGpqoqqzadsu7tx7QDGfgtilseXM+Us8fPyUbFljvxdM/L40SrCmjOpPtQbtyVa4MqltbVAoFLx89Yb8eXIw+c+YW2cKIWKnVCoZc+QNF5+HAhARpQTgQ1gU9f7+ss1rucxmNMtjrZUYhRBCV/05uCd6egq69hvOi5evccuUgWXzplC6hO8PtePs5MiWVQvo2m84uYtUIktmV6aNHUrpqvVj1PWrUg5rK0vy5MxGRleXX+5Dvjw5WD5/CgNHTGTslL/Im8uLkQN7UKdZR0yMjX+5fYVCwcYV8+jWbziV/ZsRGhpGgXy52L1xWbyzQj9rxMAe2KWxZdpfi+jWbwSpbKzV7rmaP30MvQaNomHrbgS9/0CObFnZunoBHu5uau00qVeTyTMXYJvKhsrlS8V7zep/VGDinwMYN3UOfYeOxbegN2OH9aVpu7h3PNTT02Pt4pl07jOUnD4VyOCSjlGDe9Hnv63gIToJ27JjL6MmzuL9hw+4ODsxsGdHmjeKe9dI8XtSKF/fUGpaee/B41y9Eb1tppeHG6WKFU60wLRC/9d/cSUnVVY85uqLMLbUc8LLPmX0Ldfs+7wPi+J82/RYGevegxIjo5Rkn3Wf0Mj4/9llsTXkn0bpkigqIYQQP+v167c4exZk2dwp1KxWMVGusWTlOpq178Wru+ewsZEv30QKFxmq7Qh+2Q8tFC5dvDCli6ewpEqIJKSvp6BeDksWnQ+Kt16DnFZJFJEQQoifER4ezvPAl4wYNw0nRwf8qpRLsLYnTJtLyaKFsU1lw6mzF+gzZAy1/SpJciWEjvi1OzGFED+sTT5rVlwKIiwy9uMO5vrU8bJI2qCEEEL8kKMnTlOySj0yZnBhyZxJqudOJYSLV64zccY8Xr95h4tzWhr6V2dY/24J1r4QInFJgiVEEnOwMKB+Dqs4Z7Ha5bfB2ECjDT6FEEJoSYmihVG+u5cobS+ZMylR2hVCJA35FCeEFrTJZ41RLF92yuyVEEIIIYRukwRLCC34PIv1LZm9EkIIkdhcc/gycvx0bYcRrwOHj6OwduXR46ffrywAWLR8LQa2meOtc+/+QxTWrhw5fiqJovo9afRJbu3GHXEe6z9CprGF+BnfzmLJ7JUQQoikcGr/Zrq1b5Hg7RrYZmbR8rUJ3m5cho6ejMLaNcbPv7fvqdU7efocPmVrYGLvTlr3/PQbOlbtIdJCJDSNEqzmnftz4JsnowMMHjWVvxauSvCghPgdOFgYUNPzS0Ils1dCCCGSgl2a1Jibm2k7jAThmj4dT28GqP18/Tyyh4+eUNavEVmzZOLMwa3MnjSSOQtXMGB47A+O1rawsDBthyASgEaf5mZPGEqNxp24dPWGqmzkhFlMnbOEnWvnJ1pwQqR0bb1tADDUQ2avhBDiF+3ed5gSletgmyEX1i45KF7Jn4Az59XqKKxdmTVvKY1ad8PS2QuXbIUZN+WveNuNa7na1zM2n5derVm/lT/qtMDM0YNMOYuydNV6Vf0GLbtQzq9RjPYr1mxC3WYdAbh77yE1GrTBKWsBzBw9yFG4vFobn82ct4RsBcpgbOeOfeZ81GrUTnUsIiKC4WOnkjlXMYzt3HH2KEinXkNUx79dIuiaw5fBf06iS5+h2GbIhYObNz0H/Kk2y/O999Y1hy+RkZE0a99LNZP02Zlzlyjn1wgLp2zYZcpLjQZtuP/gkVp/ps9ZRDrPQpg5elC+eiMePHoS61h8S19fH0cHe7Wfr3d0nL1gGVaWFiyYMQ4vT3f8qpRnxMAeTJ+7mI8fP8Xa5pBRk8iaL+bDjJu170mJynU07pcmY1mich1adOjNoJETSeueH2ePQnH29cSpsxSr6I+pQ1ZSpc9J/RadCXzxMt73Z836rbjlLo6JvTs+ZWtw8cr1eOuLhKFRgtXQvxr9uramQu2W3H/4mLFT5zJ22jx2rJlHgXw5EztGIVIsF2tDttZzYnfjdDJ7JYQQv+jDx490aNmYE3s3cGzXOrJkykiFGk149fqNWr1hY6dSzKcA5w9vp1fn1vQZMob9h44lSAx9h46lUZ3qXDy6E//qlWnWvhe3bt8FoHHdGuw9eJTHT56p6j8PfMHu/UdoUr+mqg+lS/iyc91iLh37h9ZN69GsfS+1+IaMmkSfIWNo37IRl47vZOe6xeTOmU11vEXH3syYu4Sh/bpy9eRu1i2dTaavZnViM33OItI62HNy30amjR3ClNn/Y8nKdarj33tvT+3fjL6+PlPGDFbNJAFcvX6L4pXrULhAHk4f2My+LSvQ19enrF8jQkJCANi0bRfd+o2ge4eWnD+yHf/qVeg1aLRG7/ejJ09J51mIdJ6FqFizCcdOnlE7fvTkacqVKoqe3pf/x1YoXZxPn4I5d/FKrG22alKP23fvc/DICVXZ+/cfWLtxO62a1NO4X5qMJcCajdt48fIVezevYN+WFbHG9Ox5IOWqNyadkyMB+zaxZfUCLl+7Sc2vEutvnbtwmbrNO1HbrxIXju6gZ6fWdOkzLJ53UyQUjbdp79W5JY+ePKNAmdp8Cg5m++p5+BTMm5ixCfFbyGZvHOex8PBwdu07zNxl66hcuiitm9ZNwsiEEEK3VP+jgtrrudNGs27zDnbuOUgDfz9VeZ0aVWjVNPqDcue2zZg1fym79h2mZDGfX46hY+sm+NeoAsDIQT2ZMW8J+w4eI0vmjJQtVRRHBzuWrd5An27RH4yXr9mEXRpbypUqBkAOLw9yeHmo2uvUpil7DhxhxdrNlCzmw8ePnxg3dQ4jBvSgY+smqnp5c2cH4N/b91iycj1rF8+ill8lADJnykCh/PF/ZivqU4C+3dsDkCVzRhYuX8uufYdp1tAf+P57a5cmNQDWVpY4Otir6o2b+hdVypdiWP/uqrJl8yaTKkMudu45iF+V8oyfNpc6NarQvWNLANzdMnHtxr9MnDEv3pgLeudmyV+T8HDPzLug98xesIyiFWqzc91iypYqCsDTZy/wLeitdp6jg91/xwJjbTedc1oqlSvJvMWrKF4kekZpxdpNGBsZUbNqBY379b2x/Cytgz2zJo1USwK/NXPeUqwsLVg0ewJGRkYALJ0zidxFKnHo6EmK+RaMcc7EGfMplD8Po4f2ASBrlsw8efZcbTZTJI44E6wVf2+JUZY/bw42bt/LH+VL8vDxU1Wd+rX+SLwIhfjNKJVKAs6cZ8Hy9axevxXDVE58DIvEO0dWbYcmhBDJ2t17Dxk8ahLHA84S+PIVUVFRfPoUzP0Hj9Xq5c6RTe21c1pHnn9nqZWmvm7bwMAAB7s0qrb19PRoUNuPpV8lWEtXradBbT/VsrZPn4IZPnYqW3bu5emzQMLCwwkNDaNk0cIAXLl+k5CQUMr9l0B86+yFywBxHtckboh+T+7ef6h6rel7+61TZy/y7537WDiptx8SEsqt/zajuHr9FvVqVVU7XqSw93cTrIplS6q9LupTgMdPnzF+2lxVghUbhUKh9t/YtGlWn1qN2zF93DBSpbJm3uJVNKpbHRMTE4379b2x/Cxf7uyq5OrwsQAq1mqqOta/ewf69+zAlWs3KeSdR5VcAeTKkQ1ra0uuXLsZa4J19fotShf3VSsrUsg7Rj2R8OJMsBq26RXnSf9bvo7/LY+eNlYoFJJgCZFAFixZRZeBY4nSM8LEqwwW/uMwTJUWvX8mkcHFWdvhCSFEslalTnPSpE7FzAnDcUnnhJGhIUUq1CIsXH3jACMjQ7XXCoWCqKioONv9/OFXqVSqyiIjI2M953ttN6lfk/HT5nDm3CWMjY04f+kqi/+aqDrea9AoNm3fzcSRA/Bwz4y5mRk9Bo7kXdD7GO0mpFjjVn6JW9P39ltRUVE0qlOdvt1iLmVLbZvqy/VImP4Uzp+X9Vv+Ub1O62jHs8AXanWePY9+/XkmKzYVy5bAwT4NS1evp5hPAc6cv6Q2Tpr0S9OxNDf7suGId56cnD+8XfXaNpWN6s9xjXlc5UqlMsH/ngjNxJlgRb2Sm+CESGp5c2UndSobXoYZYOpRFMNUaQF4+/gOPQb+yZyFK8jg4kz6dE6kT+dMhvSf/+yEtXXM52oJIcTv4tXrN1y9fovtfy+kfJniADx6/JTAF69+uW17u+jlb0+ePcclnRMA5y9eVUu4NOXl6U7eXNlZsmodxkbG5M6RjZzZPVXHDx0LoEHtatSpGf3ldVRUFDf/vYuDfRoAsmXNgomJMf/sPaS2/OyzvLmilwru2ndYtUTwV2n63hoZGRIZqZ50eufJycUr18mcKUOcH/azeWTh6MnTtG/1ZQOQoyfOxFr3e85dvIKLc1rVa9+C3ixdvYGoqChVorxzz0HMzEzJk9Mrznb09PRo2bgu8xav4satO/gUzIeXp/sP9et7YxkbU1MT3DK7xij38nRn4fK1hIWFqWaxLly6yrt379Xi+vacoydPq5UdPflz76v4MRrfgyWESHx5cmXn7rm9TJ+7hAF/9sEkXw3Mvf0wUYawfslslMCDR0948PAJFy5fZcvOPTx49IT7Dx9jYKBP+nTRCZcqCXNxIoNLOtKncyKto/rOSkIIkZKksrHGLk1q5i1aReaMGXj1+g29B4/B1NTkl9t2y+RKhvTODB09hcmjB/Hy1Rv6Dx//07MDTerXZOT4GRgaGtCzUyu1Y1ndMrFp+25qVquIhbk5k2bM58mzQNWHcgsLc3p0bMXQMVMwNTWhbMkiBAeHsH3Xfvr16IBbZlca+PvRvscgQkJDKZw/L6/fvOVYwBm6tGv+U/Fq+t5mzODC/sPHqVi2BEZGhqRJbUv/Hh0oUKoaDVt1pUu7ZtilTs29Bw/ZuG0XXdo2J1PG9PTo2JLaTTpQIF8uKpUryZHjp1i6OubOid/q3n8EVcqXxjV9OoLev2fe4lXs3n+ETSu/LC1s16IhM+YtoVWnvnTv2JLbd+8z6M+JdGrd5Ltb1bdoVIdhY6Zy89+7zJ06Su2YJv363lj+iI6tGzP1r4U0bdeT/j068PZdEO17DKJI4fwU9SkQ6znd2rcgf8mqDBg+nib1a3Ll2k0mTo9/2aVIGBolWMvXbiaVjTWVykZ/azF41FRmL1yJl0cWls+ZgLOTQ6IGKcTvRE9Pjy5tm1K1QmkatOvNtVW9+fT2FQXzq6+9/ppSqeTNm3fcf/goOgF79IT7Dx5z5vxlVdmr129xTutAepf/Zr9iScJSynNRhBC/Hz09PdYunknnPkPJ6VOBDC7pGDW4F32GjPnltg0MDFi9cAbtuw8iT9HKuLtlZMb44ZSsUu+n2qtfuxo9B45CqVRSv3Y1tWOTRw+iZac+lKxSDytLC1o3rUetqhW5fe++qs6IgT2wS2PLtL8W0a3fCFLZWFPsqw/ZC2eNZ/jYaQwcOYEnTwOxt0tNrWoVf67zaP7eTvxzAN36jSBjzqKEhYWhfHcPz6xuHNu1joEjJ1C+emNCQkNxTutIqWI+2Py38qL6HxWY+OcAxk2dQ9+hY/Et6M3YYX1p2q5nvHE9fRZI47bdefHyNdZWluT08mDPpuWUKv5lAwmXdE7s2rCE7v1Hkq94FWysrWjdtB4jB8XfNkBaR3uqVCjF/sPH8a9eRe2YJv3SZCw15WBvx64NS+g9eAz5S1bF2NiISmVLMmXM4DjPyZcnByvmT2XAiAlMmD6P3Dk8mTx6EH71W//w9cWPUShf3/ju/LZX4cpMGtmX8qWLcu7iVQqV82d4v87s3HsYR3s7Vs6flBSxJj79uHdz00VVVjzm6oswttRzwiuenep0Sa7Z93kfFsX5tumxMk75szFKpZI5i1aybutudq9b+EtthYaG8vDR0/8SsMfcf/iYBw+fqGbAHj5+gpmpaXTiFWsS5oy9XZp4dzkSQgghUpICJatR0Ds308fL9uZJJjJU2xH8Mo1msO4/ekLWLBkB2LxjH9UqlqZPl9aUK1mEiv6tvnO2EOJnKRQK2jarT9tm9X+5LWNjY9wyu8a6thuik7kXL19x/8FjtSTs6InTqiTs/YcPpHNK+1USFj37lcHFmRJFC8kSRCGEEClC4IuXbNq2m7MXLrNywTRthyN0jEYJlqGBAaGh0bvEHDh6kjrVo2+aTGVjRdD7D4kXnRAiySgUCuzt0mBvl4b8+XLFWufTp2AePn7yVRL2hINHT/DkaSDpnB3JmiVzEkcthBBCJDwHN29S2VgzdewQMmfKoO1whI7RKMEqmC8nIybMolzJIhw5cZaFM6Kfrn33/iPSxrPFpRAiZTEzMyVrlsySSAkhhEjRlO/uaTsEocM0upli0sh+XLp6k859RzKkdwdc06cDYN2WXRTyjv2bbiGEEEIIIYT43Wg0g5XNw40LhzfHKB87pCcGBrLTuxDi1zRtl5pHj/XZszlQo/oK6wwsnfuShnU+Jmgcl64Y0qJjai5eMcLRIZJ7lx4naPu6YNFyc1p2Sk3E6wfaDkUIIYTQSb+0HZi5uRnGxrFvGy2EEE3bpUZhnQGFdQb0U6Unnaczjduk5vET9c0wpo55zdrFL7UU5Re9B6fCyjKK66cec2r/U5atNkdhnbhr75PiGkIIIYRIOnFOP5Wr0Zy1i6ZibWVJuRrxP5hu1/r/JXhgQoiUoahPCGsWvSAyUsHtuwZ06GlL7SZpOLb7uaqOtbUS+O4TIxLdrdsGNKn/EdcMkQnedlgYxPEYMyGEEEKkIHHOYDmndUDvvyeUO6d1iPdHCCHiYmSoxNEhCmenSIr5htK66QeOB5gQFKRQ1WnaLjVlqtqrXl+5Zkj56vbYpHfBPK0LnvmdWLrKPM5rLFttjoWTC6vXxf2g5KmzLcldJC0WTi44ZklH3WZpePoseibt3n19FNYZuH3XkMF/2qCwzkCJyg40ap0GQDUL17RdalV70+dY4uHthIl9erLkceLP8VZERHy5nmsOZwaOsKF9d1tSu6bDt5xjjJgOHDaO9Rp79ptgbJeeT5+i36OQEDCxT0+R8l9+3+4/ZIyBbXrV+/j0mT51m6XBJr0Lpg4ulKjswOmz8Wd0SiUMGmmNfeZ0WDi5ULdZGt68jfm/hcUrzMlWIC3GdtGzkANH2Kj19chxY3zLOWDp7IKlswu5fNPyzx4T1fHngXo0bZcau0zpsHR2wbecA4eOfnk2X3g4dO+finSezhjbpSetuzN1m6WJN3YhhBAiuYpzBmvhzNGx/lkIIX7Wk6f6/L3JDH19JfE9MqteizRk9wzn2K5nmBgrufGvAZGRiljrjp9qxZ8Trdm04gWlS4TEe/0JI96QOWMEzwL16DEgFXWbp+Hg9ue4pIvk6c2H5C+Zlga1P9K1fRBmpkqWrjanY8/UPL35EABTk+hZtqGjrVm43IIpo1+TO0c4124a0LZbakJCFYwY+E51vWlzLOneIYjje54REREzfp+CocyY8CrGNYyMQKGAw8eMKV8mhKMnTLC0iCLgjDEfPiiwsFCy75AJ3nnCsLJSolSCX307QsMUbF0diLVVFCPHW1PWz55b556QJnVUrO/HtL8smTTTilkTX1O4QCgbt5oxbKyNWp1t/5jSvENqRg58S81qnzh3wYi23WxRKJSMGPiOyEioWteOpg0+smj2KwAuXzXEzCz6vQoOVlCyigOe7uHs+DsQG+soVq83o6yfA+ePPMEzawTT51iyZoMZy+a+JJNrBM8D9Tl6MmU8HF0IIcTv55d3qNh/+AQlixZKiFiEECnQgSMmWDi5EBUFwcHRsyM9Or7D3DzuJYH3HxrQvUMQ2TzCAciUMSJGnago6NInFWs2mHFg6zNy5wyPN44u7d6r/pzRFWZOeE3eYk48fqKPs1Mkjg5R6OuDhUX0jBuAtVV0jJ9fA3z6pGDcVCvWL3tBhTIh/7UXwciBb+ncx1YtwcqfJ5Sh/b68/paRUezXACiUP5S9B00oXyaEfYdMqFoxmOOnjDh0zJhK5aLLShWLvv6+gyYEnDHmysknqvdsyZyXuOZwZtZ8Swb3iT2G8dOs6NruPU3qR28W0rtrEAFnjNi47ctM4JjJVtSs+ol+PYIAcHeL4FmgPn2H2jCo9zs+ftTjzVt9qlb8RJbM0eP0+b8Aq9ebEfRej9WLXvJ5T6QBvYLYe9CUOQstmTLmDfcfGuCeOYLiRUJRKCC9SyT584XF+b4JIYQQyZlGCdaHDx/R19fH1PTLko+zF67Qd9hE9h46TuTLa4kWoBBCtxX0DmXx7FeEhCpYs8GM3ftN1ZKQ2PTsFETLTqlZtMKCEkVCqFoxmLy51T9wDxxpQ3CwgoB9z8joGjMB+9aBw8aMnmTN1RuGvH2nR9R/+cz9hwY4O2l+z9WVa4YEB+tRs5Ediq8mpSIjISREjxcv9bBLE914gV9IEkoVC2HzdlMA9h0yoVObIExMlOw7aEIxn1BOnTVm2H/J25XrhqS2jVQlVwDGxlDQO4wr1wxjbT8oSMHjJwb4FAxVKy9SOFQtwbpyzZA6NT6p1SnuG0JIiB637xrgmTWClo3fU76GA6WKhVDcN4Tqf3wia5boMTl11phnz/WxSe+i1kZoqAJT0+j3qVmDD5T1c8AttxNlS4ZQtmQIf1T8JPesCSGE0Enx7iL45OlzilSsh7WrN9au3vQZOp7Q0DBadOpPgTK1MTMz4fC25UkVqxBCB5maKHHLHEH2bOEMH/CODC4RdOhpG+85g3q/4+aZJ/j7feTyVUMKlXFk4AgbtTplSoTwKVjB6vVx33f12YOH+lSqbY9r+ghW/e8lpw88ZfPKF0D05hM/Iuq/ibe1i19w/vBT1c+lY0+5dfYxtqm+zETFN0v3PaWKhXDuohEPHupz5rwRpYqFUKpYCHsPmnL4uDF6euBb6EtypIhlBaVSGXv552PR530/xm/rfDk3+r/zpr/mzMGnlC0ZzMGjJmQv5MSc/1kA0TONnlnD1d6r84efci3gCfOmvQYgd85w7l58zISRbzAyUtKlbypyF0mrdp+eEEIIoSviTbD6jZhE0PsPTB09gML5czNhxv8oVa0xn4JDuHJsKxuXzcKnYN6kilUIkQIM7feWxSvMv7sBQ6aMEbRv9YG/l75keP+3zF5goXa8VLEQtq8NZOQEa0aMs463rVNnjQkO1mPKmDf4Fgola5YInr/4/lMqjAyjM4nIrya4vDzCMTGJ4s49Q9wyR8T4ie/eMk2vAdEzf6amSoaPtSZL5nAcHaIoWTSES1cNWbvRnEL5o49/junlK32uXv8yWxUaCgFnjPDyjH3ppLW1EmenCI6eMFErP3pC/d4nL89wDh5Rr3PomAmmplFk+mrmMHu2cLp3fM+OdYG0aPSBuYuix8s7Txh37hlgZRUV471ySvul0xYWSqr/Ecy0cW84feAp124YcfCo+nWFEEIIXRDvJ4x9h04wa8IQOrZqyMp5E1EqlZQt4cvK+ZPImiVTUsUohEhBPNwjqFIhmH7DbGI9/uGDgg49bNl30IS79ww4d8GQnXtN1Za/fVa8SCj/rA9k/DQrBo2MO8nKkjkchULJxBlW3L1nwMatpgz/ZjOH2GTMEJ1AbN5uyouXeqoNJvr3CKL/cBtmzLXkxi0DrlwzZNXfZvQZ/P02NbkGgKEhFCkUyuKVFqp7rWxto8iRLZylq8xVZQCliodQIF8o9Vum4egJYy5fNaRxmzSEhCho1+J9zIv+p0fHIKb+ZcnSVebcum3AxOmW7DmgntT06/6OdZvNGDPJipv/GrBmvRlDR1vTo2MQRkbw720D+gy24chxY+4/0Od4gBGHjxurxquB/wcyZoigcm17du014d59fU6eNmL0RCs2bo1eAjl+qhXL15hz5Zohd+8Z8L+lFujrK3F3i/++OiGEECI5ijfBevr8BZld0wPglNYBU1MT/P0qJklgQoiUq3eXIPYcMGXvgZgzFAYGSt681aNFx9R4FnCifA0HHOwiWTE/9gcR+xYKZffG50yfa0XfITax1smZPZzp418zZ6EF2QqmZcJ0K6aMef3dOPPnC6NLuyDadkuNg1s6OvaKXto4qPc7Jo96w/wlFuTydaJIeQcmz7LCNf337wXT9BoApYuHEBGhiJFMfVumUMDGFS/wyBJOZX978pd05FmgPrs3Bsa5gyBEb/zRuc17uvWLXpJ3PMA4xoYYlcqF8L+Zr1i80oLshZzo1j8V7Vt+YEjf6Hrm5kpu3TakbvM0uOdzpmYjO3wKhDJjfPT7a2ICB7c/xztPGM06pMY9nzM1GtoRcNaYDC7R75eVZRSTZlhSuKwjOXzSsmGrGeuWvlDdxyWEEELoEoXy9Y04F+Drpfbg+Y1j2KWJ/h++Zfo8XDy8mYwZXOI6Rbfpp6xtgauseMzVF2FsqeeEl33K6Fuu2fd5HxbF+bbpsTL+wbVYQgghhBAieYsM/X6dZO67uwjWbtYFI8Podf0hIWE0btcHUxP1b513rf9f4kQnhBBCCCGEEDok3gSrSd3qaq8b1q6aqMEIIYQQQgghhC6LN8FaOHN0UsUhhBBCCCGEEDrv+/sUCyGEEEIIIYTQiCRYQgghhBBCCJFAJMESQgghhBBCiATy3V0EhdCmS89DCXj85Xk/YZHRTxVYeiEIE4Po7we87I0olM5UK/EJIYQQQgjxNUmwRLLWeUcg99/FfNjoxONvVX820oerHVzRUyiSMDIhhBBCCCFikiWCIlkrkv77M1OF05lKciWEEEIIIZIFSbBEstYuvw0G3/lb2qWQTZLEIoQQQgghxPdIgiWSNSdLA+p4WcZ5vHgGU3I7miRhREIIIYQQQsRNEiyR7MU3iyWzV0IIIYQQIjmRBEske3HNYsnslRBCCCGESG4kwRI6IbZZLJm9EkIIIYQQyY0kWEInfDuL5etiIrNXQgghhBAi2ZEES+iMdvltVH/uUMAmznpCCCGEEEJoizxoWOgMJ0sDehS24eWnSAql+/7zsYQQQgghhEhqkmAJndKhQCpthyCEEEIIIUScZImgEEIIIYQQQiQQSbCEEEIIIYQQIoFIgiWEEEIIIYQQCUQSLCGEEEIIIYRIIJJgCSGEEEIIIUQCkQRLCCGEEEIIIRKIJFhCCCGEEEIIkUAkwRJCCCGEEEKIBCIJlhBCCCGEEEIkEEmwhBBCCCGEECKBSIIlhBBCCCGEEAlEEiwhhBBCCCGESCCSYAkhhBBCCCFEApEESwghhBBCCCESiCRYQgghhBBCCJFAJMESQgghhBBCiAQiCZYQQgghhBBCJBBJsIQQQgghhBAigUiCJYQQQgghhBAJRBIsIYQQQgghhEggBtoOQCScs09D2HrzI0pl9OtnHyIAmHPmHalN9QFwsTagWW4rFAqFtsIUQgghhBAixZIEKwWZfPwNRx+GxCjfevOj2uvymc1xtpKhF0IIIYQQIqHJEsEUpLK7+Xfr5E1rjJOlfhJEI4QQQgghxO9HEqwUpIanJc7fSZ66FLSR5YFCCCGEEEIkkiRNsHbuOUTWAuVxy1eWMVPmxjiuVCrp3HckbvnKkrPIH5y9cOW7575+85ay1ZuRxbscZas3483bdwC8ev2GklUbYeGSh469hyd+55IBI30FHQrYxHk8b1pjiqQ3TbqAhBBCCCGESGDJPadIsgQrMjKSDr2Hs2PNfK4e38bKdVu5ev1ftTo79hzi1u173Dq9i7mTR9Cux9DvnjtmylxKFy/MrdO7KF28sOqNMjE2ZkT/LkwY3jupupgsxDeLJbNXQgghhBBCl+lCTpFkCVbAmYu4ZcxAJlcXjIyMqFujMpt27FWrs2n7XhrX9UOhUFAof27eBgXx9FlgvOdu2rGXJnX9AGhS14+N2/cAYG5uRpFC3pgYGydVF5OFuGaxZPZKCCGEEELoOl3IKZJsK7nHT5/j4uyoep3OyYGTZy5+p44jj58+j/fc54GvSOtoD0BaR3sCX7z+6RjPX7zC23dBP31+cpE6CsyfB/LyU5SqrJhzKg4eua/FqIQQQgghhIhfCZ+88R7XhZwiyRIs5eeHM33l2+VqcdXR5NyEkDunV4K3qS0DUgfRf+8rADzSGNKpprMsDxRCCCGEEMlbZGi8h3Uhp0iyJYLpnBx5+PiZ6vWjJ89x+i9LjLvOM5wc7eM918E+NU+fBQLw9Fkg9na2idkNnVHD0xLj/27FapnHWpIrIYQQQgih83Qhp0iyBCt/3hzcunOPu/cfEhYWxqr126haoZRanaoVS7Fk1UaUSiUnTp3H2sqStI728Z5btUIpFq/aCMDiVRupVrF0UnUpWTPSV7CwmiPdC9tQI5ultsMRQgghhBDil+lCTqFQvr4Rc64skWzffZCu/UcRGRlJ8wY1GdCjHX8tXAlA22b1UCqVdOw9nJ17D2NmasrCGaPwzpMjznMheutE/+ZdefDoKenTpWXtwqnYprIBwDVXKYLefyAsPBwbK0t2rfsf2Tzc4g5Q//faEEMIIYQQQohk5TtLBCH55xRJmmAle5JgCSGEEEIIoT0aJFjJXZI+aFgIIYQQQgghUjJJsIQQQgghhBAigUiCJYQQQgghhBAJRBIsIYQQQgghhEggSfagYZ2QAm6qE0IIIYQQQmiPzGAJIYQQQgghRAKRBEsIIYQQQgghEogkWEIIIYQQQgiRQCTBEkIIIYQQQogEIgmWEEIIIYQQQiQQSbCEEEIIIYQQIoFIgiWEEEIIIYQQCeS3TbAePnpKyaqN8CxYEa/ClZn612IAho6ZjrNXUXIXq0buYtXYvvugliPVXEhIKAXK1CJX0ap4Fa7MkNHTAHj95i1lqzcji3c5ylZvxpu377QcqWbi6o8uj9FnkZGR5CnuR5W6bQDdHaOvfdsnXR8n11ylyOH7B7mLVcO7VA1A98cptj7p+ji9fRdErSad8ShYAc+CFTkecE7nxym2PunyON24dUcVd+5i1bBKn5cpsxfp7DjF1R9dHiOAybMW4VW4Mtl9qlCvZXdCQkJ1dow+i61Puj5OU/9aTHafKngVrsyU2YsA3f9/U2x90vVxUihf31BqOwhtePoskKfPX5A3lxfv338gX6mabFw6kzUbd2BhbkbPTi20HeIPUyqVfPz4CQsLc8LDwylSsT5TRw9g/dZd2KayoW/X1oyZMpc3b98xdmgvbYf7XXH1Z+fewzo7Rp9NmrmQ0+cvE/T+A1tXzaH3kHE6OUZf+7ZPQ8dM1+lxcs1VitP7/iZNaltVma6PU2x90vVxatK+D0ULedOycW3CwsL4FBzCqEl/6fQ4xdanKbMX6/Q4fRYZGYmzVzFO7l7DzPnLdXqcQL0/C5ev19kxevzkOUUq1ePq8e2Ymprg36wLlcoW5+qNf3V2jOLq070Hj3V2nC5fvUndlt0J2LMWIyNDKtRuyewJQ5m3ZI3OjlNcfVq+dovOjhP8xjNYaR3tyZvLCwBLSws83TPx+OlzLUf1axQKBRYW5gCEh0cQHhGBQqFg0469NKnrB0CTun5s3L5Hi1FqLq7+6LpHj5+xbfcBWjaqpSrT1TH6LLY+pUS6Pk4pTVDQBw4dO0WL//7eGRkZYWNtpdPjFFefUoq9B4+T2dWFDC7OOj1On33dH10XERFJcEgIERERfAoOwcnRXufHKLY+6bJrN29TyDsXZmamGBgYUNwnPxu27dbpcYqrT7rut02wvnbvwSPOXbxGwXy5AJgxfzk5i/xB8479dG6aNTIyktzFqmGf1YeyJXwo6J2L54GvSPvfL5W0jvYEvnit5Sg1F1t/QLfHqGv/UYwb2gs9vS///HR5jCD2PoFuj5NCAeVqtiBfyRrMXbQa0P1xiq1PoLvjdOf+Q+zS2NKsYz/yFPejZecBfPz4SafHKa4+ge6O09dWrd9GvZpVAN3/9wTq/QHdHSNnJwd6dmxO+pwlSetZBGsrC8qVKqLTYxRXn0B3xym7pzuHjp/m1es3fPoUzPbdh3j4+JlOj1NcfQLdHSeQBIsPHz5Ss0lnpozqj5WVBe2a1+P22d2cP7SJtI729Bg4Rtsh/hB9fX3OH9rEo8sHCTh7kctXb2o7pF8SW390eYy2/rMfeztb8uXOru1QEkxcfdLlcQI4umMlZw9sYMeaecxcsJxDx05pO6RfFlufdHmcvtVOYgAABytJREFUIiIiOHvhKu2a1ePcwY2Ym5kyZspcbYf1S+Lqky6P02dhYWFs3rmP2tUqaDuUBPFtf3R5jN68fcemHXu5e24vT64e5uOnYJat2aTtsH5JXH3S5XHyzJqZPp1bUrZGcyrUbkmu7Fkx0NfXdli/JK4+6fI4wW+eYIWHh1OzSWca1PqDGn+UA8DBPg36+vro6enRqnFtAs5e0nKUP8fG2ooSvgXZufcwDvapefosEIi+98zezvY7Zyc/6v3R3TE6evIsm3fswzVXKeq27M6+wydo2KanTo9R3H3S3XECcErrAIC9XWqqVy5LwJmLOj1OEFefdHec0jk5ks7JUTWzXataBc5evKrT4xR3n3R3nD7bsecQeXN64WCfBkCnxwli64/ujtGeA8fImD4ddmlsMTQ0pEaVchwLOKfTYxR3n3R3nABaNKrN2QMbOLQt+h7GLJkz6PQ4QVx90u1x+m0TLKVSSYvOA/B0z0T3Ds1U5Z//ggJs2LqH7J5ZtBHeT3nx8jVv3wUBEBwcwp6Dx/Bwz0TVCqVYvGojAItXbaRaxdJajFJzcfVHl8do9OAePLpyiHsX9rFq/iRKFS3EsjkTdHaMIO4+6fI4ffz4iffvP6j+vGv/UbJ7ZtHpcYqrT7o8To4Odrg4O3Lj1h0g+n6YbFkz6/Q4xdUnXR6nz1au20a9mpVVr3V5nCBmf3R5jNKnc+LE6Qt8+hSMUqlk76HjeLrr9r+luPqky+MEEPjiFQAPHj1h/dZd1KtZRafHCWLvk66Pk4G2A9CWoyfPsHT1JnJkcyd3sWoAjBrUnZXrtnL+0nUUCnBN78ycScO1HKnmnj4PpEn7vkRGRhIVpcTfrwJVypekcP7c+DfvyoJlf5M+XVrWLpyq7VA1Eld/GrXtpbNjFJe+XVvr5BjFp/fQ8To7Ts9fvKJ6ow5A9E3S9WtVoUKZYuTPm0NnxymuPun6v6fpYwfRoE1PwsLCyeTqwsIZo4mKitLZcYLY+9S570idHqdPn4LZfeAYcyZ/iVuXf+/F1h9d/p1X0DsXtaqWJ2/J6hjoG5Anpyetm9Thw8ePOjtGcfWpZZcBOjtOADWbdOLV67cYGhowc9wQUtlY6/S/JYi9T7r+/6bfdpt2IYQQQgghhEhov+0SQSGEEEIIIYRIaJJgCSGEEEIIIUQCkQRLCCGEEEIIIRKIJFhCCCGEEEIIkUAkwRJCCCGEEEKIBCIJlhBCCCGEEEIkEEmwhBBCJHvPnr/AJG0OHD18CQ8P13Y4QgghRJwkwRJCCJHs/W/5OiqXLUHqVDZs2r5X2+EIIYQQcZIESwghRLIWFRXFvCVraFLPjyb1/Ji7eI3a8Vev31C7aWfM0+XGIasPg/6cQpP2fShTvalavelzl+JRsAImaXOQxbscf06cTURERBL2RAghxO9AEiwhhBDJ2q59R/j4KZhKZYvTyL8aB44GcOfeQ9XxZh37ceHKDbau/It9Gxfz6MlzNm7bo9bG0DHTmTDjf4we1INrJ7YzdfQA5ixazbCxM5K6O0IIIVI4hfL1DaW2gxBCCCHiUr1RB1xdnJk8qj8AlfxbkTuHJ6MGdefW7Xu45y/Png2LKF28MADh4eFkylOGrFkysmfDIj59CiZNlkKsXzydCmWKqdpdsmojnfuO5O2901rplxBCiJTJQNsBCCGEEHF5+iyQrf8c4NTev1VlTetVp0v/UQzv15mrN/4FoJB3LtVxQ0NDvPNk5/2HjwBcuX6L4OAQajbtjEKhUNWLjIwkJCSUFy9fY5fGNol6JIQQIqWTBEsIIUSytWDZ30REROBdqqZaeWRkJJt37ENfP3ql+9eJ07eioqIXaqxdOBX3zK4xjtumsk64gIUQQvz2JMESQgiRLEVFRTF/6d/0796WejUqqx0bO20ecxevZvrYQQAcP3VetUQwIiKCM+ev4O7mCoCXhxsmJsbcufeQSmWLJ2kfhBBC/H4kwRJCCJEs7dx7mAePntCmaR3Sp3NSO9asfg3K1miOoaEBf1QoSYfew5gzaTh2qW2ZOPN/BL3/gILoWS0LC3P6d2tD/xGTAChbwoeIiEguXb3JuUtXGTu0V5L3TQghRMolCZYQQohkac6iVRTMlytGcgVQ3LcAdmlsmb90LQtnjKZNtyFU9G+FhbkZbZvWpWwJH0JCw1T1B/XqgJOjPdPnLaPn4LGYmpjgntmVpvWrJ2WXhBBC/AZkF0EhhBApSmRkJB4FK1K1Qikmjuyr7XCEEEL8ZmQGSwghhE47dOwUgS9ekSdnNt5/+Mjk2Yu49+CxzE4JIYTQCkmwhBBC6LTIyEhGTpzNv3cfYGhgQHbPLOzfvJgc2bJqOzQhhBC/IVkiKIQQQgghhBAJRE/bAQghhBBCCCFESiEJlhBCCCGEEEIkEEmwhBBCCCGEECKBSIIlhBBCCCGEEAlEEiwhhBBCCCGESCD/ByX28Qd6LEkAAAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 864x576 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"red = \"#c51d35\"\n",
"blue = \"#2182BF\"\n",
"fig, ax = plt.subplots(figsize = (12,8), facecolor='#ffeed9')\n",
"ax.set_facecolor('#fff1e0')\n",
"ax.set_xlabel(\"Age\", fontsize='x-large')\n",
"ax.set_xlim((25, 95))\n",
"ax.set_ylabel(\"Risk of catching and dying from Covid (log scale)\",\n",
" fontsize='x-large')\n",
"ax.set_ylim((0.00008, 4))\n",
"ax.set_yscale('log')\n",
"ax.grid(axis=\"y\", color=\"black\", alpha=.5, linewidth=.5)\n",
"ax.tick_params(bottom=False, top=False, left=False, right=False)\n",
"ax.tick_params(labelbottom=True, labeltop=True, labelleft=True, labelright=True)\n",
"ax.tick_params(axis='y', which='minor', left=False, right=False)\n",
"from matplotlib.ticker import MultipleLocator, FixedFormatter, FixedLocator\n",
"ax.xaxis.set_major_locator(MultipleLocator(base=5))\n",
"ax.yaxis.set_major_locator(FixedLocator([0.0001, 0.001, 0.01, 0.1, 1]))\n",
"ax.yaxis.set_major_formatter(FixedFormatter([0.0001, 0.001, 0.01, 0.1, \"1%\"]))\n",
"ax.spines[\"top\"].set_visible(False)\n",
"ax.spines[\"bottom\"].set_visible(False)\n",
"ax.spines[\"right\"].set_visible(False)\n",
"ax.spines[\"left\"].set_visible(False)\n",
"d50 = data2[data2.age==50][['age', 'risk']].values[0] # age, risk\n",
"d80 = data2[data2.age==80][['age', 'vaxrisk']].values[0] # age, vaxrisk\n",
"import matplotlib.patches as patches\n",
"p1 = patches.FancyArrowPatch(d50, d80, \n",
" arrowstyle='<->', \n",
" mutation_scale=20, \n",
" linewidth=2, \n",
" linestyle='--')\n",
"ax.add_patch(p1)\n",
"ax.scatter(data2.age, data2.risk, \n",
" alpha=0.6, s=40, marker='o', color=red)\n",
"# ax.scatter(data2.age, data2.vaxrisk, \n",
"# alpha=0.6, s=40, marker='o', color=blue)\n",
"for idx, s in data2.iterrows():\n",
" p = patches.FancyArrowPatch((s.age, s.risk), (s.age, s.vaxrisk), \n",
" color=blue, \n",
" arrowstyle=\"-|>\", \n",
" mutation_scale=20, \n",
" linewidth=2)\n",
" ax.add_patch(p)\n",
"ax.set_title(\n",
"\"\"\"Vaccines have made Covid far less lethal. A fully vaccinated 80 year old\n",
"has the same risk as an unvaccinated 50 year old.\"\"\", loc=\"left\", fontsize=\"xx-large\"\n",
");\n",
"ax.annotate(\"Risk of Covid Death\\nbefore vaccines\", \n",
" xy=(40, data2[data2.age==40]['risk']), \n",
" xytext=(27, 0.04), \n",
" fontsize='x-large',\n",
" color='r',\n",
" arrowprops=dict(arrowstyle='-|>'))\n",
"ax.annotate(\"Risk after two doses\", \n",
" xy=(40, data2[data2.age==40]['vaxrisk']), \n",
" xytext=(45, 0.0003), \n",
" fontsize='x-large',\n",
" color='b',\n",
" arrowprops=dict(arrowstyle='-|>'))\n",
"ax.annotate(\n",
"\"\"\"A fully vaccinated\n",
"80 year-old now has\n",
"roughly the same risk\n",
"of dying from covid as\n",
"an unvaccinated 50 year-old\n",
"\"\"\", \n",
" xy=(76, 0.046), \n",
" xytext=(72, 0.0003), \n",
" fontsize='x-large',\n",
" color='k',\n",
" arrowprops=dict(arrowstyle='-|>'))\n",
"fig.tight_layout()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "ml1-arm64",
"language": "python",
"name": "ml1-arm64"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.9.1"
}
},
"nbformat": 4,
"nbformat_minor": 4
}
age risk vaxrisk
30 0.0015679 8.609e-05
35 0.0032778 0.00018174
40 0.008113 0.00046749
45 0.020851 0.0011208
50 0.036853 0.0020236
55 0.06513 0.0036534
60 0.11948 0.006774
65 0.19961 0.011343
70 0.29804 0.016471
75 0.43671 0.022384
80 0.8968 0.046557
85 1.7726 0.09614
90 2.6467 0.141
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