Fundamentos de Estatística/fundamentos_estatistica.ipynb

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   "source": [
    "# !pip install pandas numpy seaborn scipy openpyxl"
   ]
  },
  {
   "cell_type": "code",
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   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import seaborn.objects as so\n",
    "import seaborn as sns\n",
    "from scipy import stats\n",
    "import math\n",
    "from itertools import combinations\n",
    "import typing\n",
    "from functools import partial"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "29cde931-17bd-45d0-afad-ab11ecbdd71c",
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   "source": [
    "xl_path = 'Planilha Suporte - Fundamentos de Estatisticaxlsx Portugues.xlsx'"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "eae556b3-ff9f-4efb-8e0f-27203633d43d",
   "metadata": {},
   "source": [
    "# Fundamentos de Estatística"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7355bd7a-156a-4cd8-b485-2c6dda130a05",
   "metadata": {},
   "source": [
    "## Estatítica descritiva"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "abbd2d17-5998-48ff-96e3-ea7a7c50edb6",
   "metadata": {},
   "source": [
    "### Qualitativos"
   ]
  },
  {
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    {
     "data": {
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       "<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>Indivíduo</th>\n",
       "      <th>País de Origem</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1</td>\n",
       "      <td>Brasil</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2</td>\n",
       "      <td>Inglaterra</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>3</td>\n",
       "      <td>Japão</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>4</td>\n",
       "      <td>EUA</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>5</td>\n",
       "      <td>Brasil</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   Indivíduo País de Origem\n",
       "0          1         Brasil\n",
       "1          2     Inglaterra\n",
       "2          3          Japão\n",
       "3          4            EUA\n",
       "4          5         Brasil"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "qual_df = pd.read_excel(\n",
    "    xl_path,\n",
    "    sheet_name='Tabela de Frequências',\n",
    "    usecols=[0,1],\n",
    ")\n",
    "qual_df.head()"
   ]
  },
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   "execution_count": 5,
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    {
     "data": {
      "text/html": [
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       "\n",
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       "    }\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>cnt</th>\n",
       "      <th>relative_freq</th>\n",
       "      <th>cumcnt</th>\n",
       "      <th>cum_relative_freq</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>País de Origem</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>Brasil</th>\n",
       "      <td>59</td>\n",
       "      <td>19.67</td>\n",
       "      <td>59</td>\n",
       "      <td>19.67</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>EUA</th>\n",
       "      <td>35</td>\n",
       "      <td>11.67</td>\n",
       "      <td>94</td>\n",
       "      <td>31.33</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Índia</th>\n",
       "      <td>19</td>\n",
       "      <td>6.33</td>\n",
       "      <td>113</td>\n",
       "      <td>37.67</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>China</th>\n",
       "      <td>18</td>\n",
       "      <td>6.00</td>\n",
       "      <td>131</td>\n",
       "      <td>43.67</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Uruguai</th>\n",
       "      <td>17</td>\n",
       "      <td>5.67</td>\n",
       "      <td>148</td>\n",
       "      <td>49.33</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Japão</th>\n",
       "      <td>16</td>\n",
       "      <td>5.33</td>\n",
       "      <td>164</td>\n",
       "      <td>54.67</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Austrália</th>\n",
       "      <td>15</td>\n",
       "      <td>5.00</td>\n",
       "      <td>179</td>\n",
       "      <td>59.67</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>África do Sul</th>\n",
       "      <td>14</td>\n",
       "      <td>4.67</td>\n",
       "      <td>193</td>\n",
       "      <td>64.33</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Rússia</th>\n",
       "      <td>14</td>\n",
       "      <td>4.67</td>\n",
       "      <td>207</td>\n",
       "      <td>69.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Inglaterra</th>\n",
       "      <td>12</td>\n",
       "      <td>4.00</td>\n",
       "      <td>219</td>\n",
       "      <td>73.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Suiça</th>\n",
       "      <td>11</td>\n",
       "      <td>3.67</td>\n",
       "      <td>230</td>\n",
       "      <td>76.67</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Argentina</th>\n",
       "      <td>10</td>\n",
       "      <td>3.33</td>\n",
       "      <td>240</td>\n",
       "      <td>80.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Alemanha</th>\n",
       "      <td>10</td>\n",
       "      <td>3.33</td>\n",
       "      <td>250</td>\n",
       "      <td>83.33</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>França</th>\n",
       "      <td>10</td>\n",
       "      <td>3.33</td>\n",
       "      <td>260</td>\n",
       "      <td>86.67</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Itália</th>\n",
       "      <td>9</td>\n",
       "      <td>3.00</td>\n",
       "      <td>269</td>\n",
       "      <td>89.67</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Canadá</th>\n",
       "      <td>9</td>\n",
       "      <td>3.00</td>\n",
       "      <td>278</td>\n",
       "      <td>92.67</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Egito</th>\n",
       "      <td>8</td>\n",
       "      <td>2.67</td>\n",
       "      <td>286</td>\n",
       "      <td>95.33</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>México</th>\n",
       "      <td>7</td>\n",
       "      <td>2.33</td>\n",
       "      <td>293</td>\n",
       "      <td>97.67</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Chile</th>\n",
       "      <td>7</td>\n",
       "      <td>2.33</td>\n",
       "      <td>300</td>\n",
       "      <td>100.00</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                cnt  relative_freq  cumcnt  cum_relative_freq\n",
       "País de Origem                                               \n",
       "Brasil           59          19.67      59              19.67\n",
       "EUA              35          11.67      94              31.33\n",
       "Índia            19           6.33     113              37.67\n",
       "China            18           6.00     131              43.67\n",
       "Uruguai          17           5.67     148              49.33\n",
       "Japão            16           5.33     164              54.67\n",
       "Austrália        15           5.00     179              59.67\n",
       "África do Sul    14           4.67     193              64.33\n",
       "Rússia           14           4.67     207              69.00\n",
       "Inglaterra       12           4.00     219              73.00\n",
       "Suiça            11           3.67     230              76.67\n",
       "Argentina        10           3.33     240              80.00\n",
       "Alemanha         10           3.33     250              83.33\n",
       "França           10           3.33     260              86.67\n",
       "Itália            9           3.00     269              89.67\n",
       "Canadá            9           3.00     278              92.67\n",
       "Egito             8           2.67     286              95.33\n",
       "México            7           2.33     293              97.67\n",
       "Chile             7           2.33     300             100.00"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "frequencies = (\n",
    "    qual_df.loc[:,'País de Origem']\n",
    "    .value_counts()\n",
    "    .to_frame(name='cnt')\n",
    "    .assign(\n",
    "        relative_freq=lambda df: df.cnt.div(df.cnt.sum()).mul(100),\n",
    "        cumcnt=lambda df: df.cnt.cumsum(),\n",
    "        cum_relative_freq=lambda df: df.cumcnt.div(df.cnt.sum()).mul(100),\n",
    "    )\n",
    "    .round(2)\n",
    ")\n",
    "frequencies"
   ]
  },
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   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: ylabel='relative_freq'>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "frequencies.relative_freq.plot.pie()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b9a2a446-792a-4ba7-b002-aaae4a2e9808",
   "metadata": {},
   "source": [
    "---"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "dda56471-2609-497c-aa9e-c817689e77d7",
   "metadata": {},
   "source": [
    "### Quantitativos"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "75853eb1-5684-4c54-9996-a90b50014c05",
   "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>Nº Observação</th>\n",
       "      <th>Preço ($)</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1</td>\n",
       "      <td>189</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2</td>\n",
       "      <td>195</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>3</td>\n",
       "      <td>199</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>4</td>\n",
       "      <td>189</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>5</td>\n",
       "      <td>197</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   Nº Observação  Preço ($)\n",
       "0              1        189\n",
       "1              2        195\n",
       "2              3        199\n",
       "3              4        189\n",
       "4              5        197"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "quant_df = (\n",
    "    pd.read_excel(\n",
    "        xl_path,\n",
    "        sheet_name='Descritivas - Quantitativa',\n",
    "        usecols=[0,1],\n",
    "        nrows=100\n",
    "    )\n",
    ")\n",
    "quant_df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "33d62e17-c0c3-45d7-9879-0203172a824e",
   "metadata": {
    "editable": true,
    "slideshow": {
     "slide_type": ""
    },
    "tags": []
   },
   "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>Preço ($)</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>count</th>\n",
       "      <td>100.0000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mean</th>\n",
       "      <td>190.7700</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>std</th>\n",
       "      <td>15.6211</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>min</th>\n",
       "      <td>149.0000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20%</th>\n",
       "      <td>179.0000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25%</th>\n",
       "      <td>179.0000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>44%</th>\n",
       "      <td>189.0000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50%</th>\n",
       "      <td>189.0000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>60%</th>\n",
       "      <td>196.4000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>75%</th>\n",
       "      <td>199.0000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>85%</th>\n",
       "      <td>205.0000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>max</th>\n",
       "      <td>239.0000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>amplitude</th>\n",
       "      <td>90.0000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>var</th>\n",
       "      <td>244.0173</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>stderr</th>\n",
       "      <td>1.5621</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>cov</th>\n",
       "      <td>8.1884</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mode</th>\n",
       "      <td>199.0000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>skew</th>\n",
       "      <td>0.0899</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>kurtosis</th>\n",
       "      <td>0.6695</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "           Preço ($)\n",
       "count       100.0000\n",
       "mean        190.7700\n",
       "std          15.6211\n",
       "min         149.0000\n",
       "20%         179.0000\n",
       "25%         179.0000\n",
       "44%         189.0000\n",
       "50%         189.0000\n",
       "60%         196.4000\n",
       "75%         199.0000\n",
       "85%         205.0000\n",
       "max         239.0000\n",
       "amplitude    90.0000\n",
       "var         244.0173\n",
       "stderr        1.5621\n",
       "cov           8.1884\n",
       "mode        199.0000\n",
       "skew          0.0899\n",
       "kurtosis      0.6695"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(\n",
    "    quant_df[['Preço ($)']].describe(percentiles=[.25,.75,.2,.6,.44,.85])\n",
    "    .T\n",
    "    .assign(\n",
    "        amplitude=quant_df['Preço ($)'].max()-quant_df['Preço ($)'].min(),\n",
    "        var=quant_df['Preço ($)'].var(),\n",
    "        stderr=quant_df['Preço ($)'].sem(),\n",
    "        cov=(quant_df['Preço ($)'].std()/quant_df['Preço ($)'].mean())*100,\n",
    "        mode=quant_df['Preço ($)'].mode().values if len(quant_df['Preço ($)'].mode().values) == 1 else np.nan,\n",
    "        skew=quant_df['Preço ($)'].skew(),\n",
    "        kurtosis=quant_df['Preço ($)'].kurt(),\n",
    "    )\n",
    "    .round(4)\n",
    "    .T\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ba7dbade-d2f8-459a-9aa7-ab9003a0caf8",
   "metadata": {
    "editable": true,
    "slideshow": {
     "slide_type": ""
    },
    "tags": []
   },
   "source": [
    "PDF"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "b9407f1e-d3e0-4191-a790-e5c0d2988c7c",
   "metadata": {},
   "outputs": [
    {
     "data": {
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qyZIluu222/TZz35WFifgAACACPrjB2dWW129tExOR9S6PxiXn52qqpIsNXYM6mhjr/qHxpWTmWK6LAAAMEOi8imno8O/jNtms6msrGzKawOnCba3t09rbunsMGmyuaczf4DP59MzzzwT/PXVV1894fFAcNXV1aVbb71Vv/3tb9XU1CSXy6W+vj69//77evjhh/W1r31Ng4OD03ptAACAyfQNjOqdff4v8bLSnVq5IHFXWwUEtgv6fNL7B1sNVwMAAGZSVFZc9ff3S5LS0tIm7W8VkJ6eLknBZunhzi1JmZmZYc39l88Lx/r167Vv3z5J/i2HS5cuDT7m9Xp17NgxSf4VYEVFRfrSl76kFStWyOl06sCBA3ruuefU0tKi9957T9/85jf19NNPy2ab+W9Dc3Im3wqJ+Ga324L/Pz8/w3A1SCTcW4gW7q3I+M3bNXJ7/KutblhTpcIk+LO88vJy/Xlbgzxen7Yd7tDff+bsg3G4vxAt3FuIJu4vREsi3VtRCa7Gx8clKdi/aiqBHlOB54Q7tySlpqaGNfd05pekt956Sz/96U8l+bczfu9735vw+MmTJzUyMiJJWrBggdavX6+iojPHM69atUq33Xab7rnnHh04cEAffPCBXnnlFX3+858Pu4ZIcSRgo1ZMZFkW/50RFdxbiBburQvXc2pEm3f6+3bmZqboqisqgx9ME1l2pl2XXVqoAzVdamgbUGv3kKpKc855LfcXooV7C9HE/YVoSYR7KyrBVWCV1XR6O4V7beiqpWjM/8477+hb3/qW3G63JOk73/nOhNVWkr+31qZNm9TQ0KC5c+dOCK0CcnJy9NOf/lQ33XSTPB6PfvnLXxoJrtxujo1OVHa7TZZlyefzyXP6m3cgEri3EC3cWxfvxQ1Hgr2trls1SzbLJ48nOd7rVy4s0oGaLknShg/r9dWbL5vwOPcXooV7C9HE/YVoMXlvRTooi0pwFdii95cn8Z3L6OiopPOvngrIyDizxO188wfmDnf+DRs26OGHH5bL5ZIk3X333brrrrvOus5ut6uqqirY7H0yc+bM0Zo1a/TRRx/p2LFj6unpUUFBwXnriKT+/lH+AkxQ+fkZcjjs8ni86u0dNl0OEgj3FqKFe+vi9A2MBldbZWc4ddnsPPUPjJ7nWYmjsjBDaSl2jY57tHVPk/7mqjkTvpjk/kK0cG8hmri/EC2m7i273aaCgqnbOk1XVNaWB3pPjY2NyeudOjQJbLnLyTn3cu/J5pb8/aXCmTuc+Z9//nl961vfCoZWd911l/7pn/4prJqmsnDhwuA4cBoiAADAdL3xUYPcHp8k6eql5XIk8EmC5+Kw27TkEv8XgH2D4zra0Ge2IAAAMCOi8omnoqJCkuTxeNTZ2TnltYHT/kpKSsKau7S0NLgV8XwnBYY+Ptn8Pp9PTzzxhB577LFgyHbffffp0UcfDaue8wltEB8IxQAAAKZjZMyt9w74vwDLTHNoxfyz2xQkg6XzzqxcD/x5AACAxBaV4Kq6ujo4bmxsnPS68fHx4Cqk0OdMJSUlJbhFr6GhYcprQx8/1/xer1ePPvqonn76aUn+Pljf/e539dBDD0057/Hjx/Xmm2/q17/+9Xmbvvf09ATHhYWFU14LAABwLpt2Nmp03N/Lau3iEjmTbLVVQFVJlvKy/If/7DvRJa/PZ7giAAAQbVH51LNs2bLgeNeuXZNed+DAgWDws2LFirDnX758uSRp//79U65iCrx2aWmpKisrz3r8Bz/4gV555RVJ/tMDn3zySX31q1897+u/+OKL+uY3v6kf/OAHOnz48JTX7t69W5KUl5enWbNmnXduAACAUG6PV5t2NUmSUhw2rV4U3ir1RGRZlhbOzpckDY26dYztggAAJLyoBFdVVVVavHixJOm1116btM/Vq6++KklyOBy67rrrwp7/xhtvlOTvcbVhw4ZzXtPc3Kzt27dLkm644YazHn/++ef10ksvSfI3bl+3bp1uvvnmsF5/zZo1wfF///d/T3rdBx98oBMnTkiSPv3pT0/rFEQAAABJend/iwaG/V/UrVxYrPTUqJytEzcWzs4LjncenbolBQAAiH9RW2f+xS9+UZJUW1urdevWnfX4Bx98EAyubrrpJhUXF4c99zXXXBPcLvjEE0+c1evK5XLp+9//vtxut+x2e7CWgJMnT+rJJ58M/vrJJ5/UtddeG/brX3/99cGeWS+99JJ27tx51jXNzc3BPllpaWn62te+Fvb8AAAAkuT1+fTnj/ytD2yWpU9cVmq4IvNml2QFw7t9J7oMVwMAAKItal/Z3X777frtb3+rffv26amnnlJtba1uu+02paen65133tEzzzwjt9utvLw8PfLII2c9P/Q0vqNHj054LCUlRY8++qjuu+8+tbe36/bbb9f999+vJUuWqKWlRU8//bQOHjwoSbr77rs1b968Cc//+c9/rtFR//HR1157raqqqs675S83NzfYdD4tLU3/z//z/+ib3/ymXC6X7rnnHn3lK1/RNddcI8uytGvXLj399NM6deqUJOl73/ueZs+ePc0/QQAAkOx2HelQ5yn/Z5alcwuUk5liuCLzbDZLC2blal9Nt7r7R9XcOajK4izTZQEAgCixfL7odbXs6urS3XffrWPHjp3z8by8PP385z/XypUrz3psquAq4Pnnn9ePf/xjeTyecz5+yy236Cc/+YkcjjP53PDwsNauXTvtE/5uvfVW/eQnP5nwe7/73e/0gx/8QGNjY+d8TkpKir7zne/oy1/+8rReK5J6eobk8Zx7qybiW35+hhwOu9xuj3p7h02XgwTCvYVo4d6avh+s366G9kFJ0v2fW6LivPTzPCM5HKnv1W+21EiS/uavLtHn/mou9xeihnsL0cT9hWgxdW/Z7TYVFGRGdM6oNkkoKirSK6+8ohdffFGvv/666urqNDo6qsrKSl177bW69957VVp64Uvev/zlL2vVqlV69tlntW3bNnV3dysjI0NLlizRF77wBX3mM5856zk1NTXTDq0mc9ttt2nNmjX65S9/qffff18tLS2S/M3g//qv/1p///d/r7lz50bktQAAQHI5Ut8bDK0WVOUSWoWYW5Ejh92S2+PT3mNd+txf8XkLAIBEFdUVVzCPFVeJi29nEC3cW4gW7q3p+V+/3qPD9b2SpK/etFCzS7MNVxRbfr3puI43+dsy/PSBqzR3dgH3F6KCv7sQTdxfiJZEWnEVtebsAAAAuDDNnYPB0GpWSSah1TmEni64+xinCwIAkKgIrgAAAGLMn7c1BMdXLSkzWEnsWlCVFxzvOsrpggAAJCqCKwAAgBgyNOrS9iMdkqS8rJQJAQ3OyEp3alaxfyvC8eY+jYy5DVcEAACigeAKAAAghmze2SSX29+fcs3iEtlsluGKYldgu6DH49POw+1miwEAAFFBcAUAABAjPF6vtuxpliSlOGxaMb/IcEWxbeHs/OD4wwOtBisBAADRQnAFAAAQI3Yc6dCpoXFJ0rLqIqWlOAxXFNuKctNUmJMmSdp3vIuTlAEASEAEVwAAADFiw/bG4Hjt4hKDlcSPwHbB4TG39p+gSTsAAImG4AoAACAG1LacUn3bgCSpelauCnPTDFcUHwLBlSR9wHZBAAASDsEVAABADPjztobg+MrLWG0VrlnFmUpP9W+p3Hesw3A1AAAg0giuAAAADOsdGNWe4/5tbsV5aZpbnmO4ovhhWZbmlmdLklq7h9XZN2y4IgAAEEkEVwAAAIZt2tkkj9cnSVq7uFSWZRmuKL7MrcwNjncfYdUVAACJhOAKAADAILfHq3f2tUiS0lLsumJegeGK4s/cijMr1PYc6zRYCQAAiDSCKwAAAIO2fdyuoVG3JGnFgiI5HXbDFcWf3MwUleSnS5IO1vbI5/MZrggAAEQKwRUAAIBBm3c1BcerF9KU/UItOH264NCISydPn84IAADiH8EVAACAIQ0dA8GQpboyR/nZqYYril8LqvKD4wM13QYrAQAAkURwBQAAYMjGHY3B8epFrLa6GPMqc2W3+ZvaH6zrMVwNAACIFIIrAAAAA0bG3Npx2H8CXm5miqpDTsbD9KWm2HVJub9Je11bv8ZcHsMVAQCASCC4AgAAMODdfS0ad3slSasWFst2erUQLtzCOf7tgh6PT4frWXUFAEAiILgCAAAwYMueZkmS3WZpxfwiw9UkhoWzQ/tcEVwBAJAICK4AAABm2JH6XrX3jkiSLrskX5npTsMVJYZZJdlKT3VIkj4+SXAFAEAiILgCAACYYRt30pQ9Gmw2S/Or8iRJ7b0j6ukfNVsQAAC4aARXAAAAM6hvcEz7arolSaX56ZpVnGm4osSy4HRwJUkHa1l1BQBAvCO4AgAAmEFv72mW1+uT5F9tZVk0ZY+kBbPzguMDdd3mCgEAABFBcAUAADBDvD6f3tnXIklKcdq0dG6B4YoST0FOmgpzUiX5e4n5fD7DFQEAgItBcAUAADBDDtR0qW9wXJJ0xdxCpTjthitKTHMrciRJQ6Nu1bcPGK4GAABcDIIrAACAGfLW7ubgeOWCYoOVJLa5FbnB8aE6+lwBABDPCK4AAABmQN/AqA7V9UqSKooyVFaYYbiixDWnNCs4PlLfa7ASAABwsQiuAAAAZsDb+1rkPd1vidVW0ZWW6lBZgT8YrGnpD/65AwCA+ENwBQAAEGU+n0/v7WuVJKU4bFpyKU3Zo21OmX/V1ei4Rw30uQIAIG4RXAEAAETZwbpu9QyMSZIun1ugVJqyR92c0uzg+DDbBQEAiFsEVwAAAFH21u6W4JhtgjNjdkifq6MNfeYKAQAAF4XgCgAAIIr6h8Z1oLZbklRWkK5ymrLPiIw0p0ry0iVJJ5pPyUefKwAA4hLBFQAAQBRt3dsir/dMU3bLsgxXlDwCfa6GR91q6hwyXA0AALgQBFcAAABR9M5+/zZBp8Omy+fSlH0mzQ7pc3WEPlcAAMQlgisAAIAo+biuR92nRiVJSy7JV1qKw3BFySW0QfuRBoIrAADiEcEVAABAlGzZ2xwc05R95mVlOFWYkybJ3+cKAADEH4IrAACAKBgedWnfiS5JUnFemiqLMw1XlJwCfa4Ghl1q66bPFQAA8YbgCgAAIAreO9Aqt8fflH3F/CKashsSul3wMH2uAACIOwRXAAAAUfDuvlZJks1maem8QsPVJK/ZZQRXAADEM4IrAACACKtvH1Bzl39b2sKqPGWmOQ1XlLxyM1OUl5UiSTreRJ8rAADiDcEVAABAhL2950xT9uXzWW1l2pzTq65ODY2rs2/YcDUAAGA6CK4AAAAiyOX2avvhdklSdoZT8ypyDVeECX2uTvaZKwQAAEwbwRUAAEAE7TzaoZExjyRpWXWhbDaasps2J7TPVUOPwUoAAMB0EVwBAABE0Na9LcHx8uoig5UgIC8rRTkZ/j5j9LkCACC+EFwBAABESNepER1v6pMkzSnNUkFOmtmCIEmyLCu46qqnf0w9/aOGKwIAAOEiuAIAAIiQrXtb5PP5xysWFJstBhOEbhc80tBrsBIAADAdBFcAAAAR4PP59MGBNklSqtOuxXPyzBaECWYVZwXHbBcEACB+EFwBAABEwKGTPeodHJMkXX5pgZwOu+GKEKo4L02pTv9/k5pmgisAAOIFwRUAAEAETGjKPr/QYCU4F8uyNKskU5LU0jWsMZfHcEUAACAcBFcAAAAXaWTMrX0nuiX5V/ZUFGUargjnEtgu6PX5VNfSb7gaAAAQDoIrAACAi/ThoTa5PV5J0rLqIlmWZbginEtVyZk+V8ca+8wVAgAAwkZwBQAAcJHe3effJmhZ0hVz2SYYqypDVsIdp88VAABxgeAKAADgIrR2Dam+fVCSVF2Zq6wMp+GKMJnUFLtK89MlSSdb2SoIAEA8ILgCAAC4CFv3hTRlry4yWAnCMev0dsGhUbfauocMVwMAAM6H4AoAAOACeb0+fXSoTZKUnurQgqpcwxXhfGYVn9kueKyJ7YIAAMQ6gisAAIALdKC2S/3DLknS0rkFstv5aBXrQhu0H6dBOwAAMY9PVwAAABfonX2twfGyapqyx4P87FRlpDkkSTX0uQIAIOYRXAEAAFyA4VGX9td2S5JK89NVVpBhuCKEw7IszSr2r7pq7xnWyJjbcEUAAGAqBFcAAAAX4P0DbfJ4fJL8q60syzJcEcJVVeLvc+XzSSea+8wWAwAApkRwBQAAcAHeO+DfJmizLC2dyzbBeDIrpM/VsUYatAMAEMsIrgAAAKapuXNQjR2DkqT5s3KVme40XBGmo6IwU7bTK+RONBNcAQAQywiuAAAApmnr3pbgmKbs8cfpsKmsMF2SVN82IJ/PZ7giAAAwGYIrAACAafB6fdp2uF2SlJ7q0PxZuYYrwoUINGgfHfeoqXPIcDUAAGAyBFcAAADTcKCuWwPDLknS0rkFstv5OBWPqkL6XB1v6jNXCAAAmBKftAAAAKbh3X2twTHbBOPXLIIrAADiAsEVAABAmEbG3Npf0y1JKslLV1lBhuGKcKFyM1OUneFvql/b3G+4GgAAMBmCKwAAgDB9dKhNbo9XknRFdaGs0yfTIT4Ftgt2nhrV4IjLcDUAAOBcCK4AAADC9N5+/zZBy/L3t0J8qyzODI5rmvvMFQIAACZFcAUAABCG9p5h1bUNSJLmVeQoOyPFcEW4WJVFZ4KrE2wXBAAgJhFcAQAAhOGdfS3B8bLqIoOVIFLKCjIU2O1Z10JwBQBALCK4AgAAOA+fz6cPD7VJklKddi2syjNbECIixWlXSV66JKm+fcBwNQAA4FwIrgAAAM7jcH2v+gbHJUmXX1ogh4OPUIki0OdqaNStzr5hw9UAAIC/xKcuAACA8wjdJnhFdaHBShBpFUWhDdrZLggAQKwhuAIAAJjCmMujvce7JEkFOamaFXISHeIfDdoBAIhtBFcAAABT2P5xu8bdXknSsnmFsgLdvJEQivPS5Ty99bOuleAKAIBYQ3AFAAAwhfcOtAbHV8xjm2CisdkslRdmSJKaOgfl9foMVwQAAEIRXAEAAEyi+9SITjSfkiRdUpat3KxUwxUhGgJ9rlxurxo7Bw1XAwAAQhFcAQAATOL9A23ynV6Aw2qrxBXa56r2dFAJAABiA8EVAADAJD442CZJcjpsWnxJvuFqEC2hwVVNC32uAACIJQRXAAAA51DTckodfSOSpEWz85TqtBuuCNGSm5WijDSHJBq0AwAQawiuAAAAzuHdfS3B8bLqIoOVINosywquumrvGdG4y2O4IgAAEEBwBQAA8BfcHq92HumUJGVnOHVJWbbhihBtgQbtXp+PVVcAAMQQgisAAIC/sOd4p4bH3JL8TdltNstwRYg2+lwBABCbCK4AAAD+wnv7W4NjThNMDhWhwRUnCwIAEDMIrgAAAEIMjrj08cleSVJFYYaK89INV4SZkJHmUH52qiSpvm3AcDUAACCA4AoAACDE+wda5fH6JElX0JQ9qQRWXfUMjGlwxGW4GgAAIBFcAQAATPDBAf82QZvN0uWX5huuBjOpsigjOD7R3GeuEAAAEERwBQAAcFpz56AaO4ckSfMrc5WR5jRcEWZSaJ+rE000aAcAIBYQXAEAAJz2bkhT9mXVNGVPNuWFGbJOHyBZ10pwBQBALCC4AgAAkOT1+bTt43ZJUnqqXfNn5RquCDPN6bCrNN/fjL+hnQbtAADEAoIrAAAASYfqunVqaFySdPmlBbLb+ZiUjALbBYdG3eo6NWK4GgAAwCcyAAAATdwmeMU8tgkmq/LCM32u6lrYLggAgGkEVwAAIOmNjru170S3JKkoN21Ck24kl/LCMycL1tLnCgAA4wiuAABA0tv+cYdcbq8k/2orK9ChG0mnJD9dNpv/v//JNvpcAQBgGsEVAABIeu8dOLNNcCnbBJOaw24LNmhv7Bg0XA0AACC4AgAASa3r1IhONJ+SJF1anq3czBTDFcG0wHbB4VG3Ovto0A4AgEkEVwAAIKm9F9KUfVl1kcFKECsmNGinzxUAAEYRXAEAgKT24cE2SZLTYdOi2Xlmi0FMCG3QTnAFAIBZBFcAACBpnWjuU+epUUnS4jn5SnHaDVeEWECDdgAAYgfBFQAASFrvTtgmSFN2+NGgHQCA2EFwBQAAkpLb49XOIx2SpJzMFF1Slm24IsQSGrQDABAbCK4AAEBS2n2sUyNjHknSFfMKZFmW4YoQS2jQDgBAbCC4AgAASSl0m+AV8zhNEBPRoB0AgNhAcAUAAJJO//C4Dtf3SpIqizNVlJtmuCLEmtAG7XWtNGgHAMAUgisAAJB03j/QKq/XJ0laNo+m7DhbaIP2Jhq0AwBgDMEVAABIOu8faJMk2W2WllxaYLgaxKpgg/YxGrQDAGAKwRUAAEgqDR0DaukakiQtqMpTeqrDcEWIVTRoBwDAPIIrAACQVN7Ze6Yp+7JqtglicqEN2mtbCK4AADCB4AoAACQNr9en7YfbJUmZaQ7Nq8wxXBFiWUl+uuynG7SfbKNBOwAAJhBcAQCApLG/tkuDIy5J0uVzC2W38VEIk3PYbSqhQTsAAEbxaQ0AACSNd/eFbBPkNEGEYWKD9mHD1QAAkHwIrgAAQFIYHnXpQG23JKk0P11lIf2LgMmENmivbWG7IAAAM43gCgAAJIUPD7XJ7fFJkq6gKTvCVFF0JuDkZEEAAGZe1M9/Hh8f1wsvvKDXX39dtbW1kqTy8nLdcMMNuuuuu1RUVHRR8x88eFDr16/Xjh071NPTo7y8PF122WW68847df3115/3+UeOHNGLL76o7du3q729XR6PRyUlJVqzZo2+9KUvacmSJVM+3+v16pVXXtGrr76qo0ePyuVyqaysTNdcc42+8pWvqKqq6qJ+PgAAEBnvHWiTJFmWtPRSgiuEpyTP36Dd4/XRoB0AAAMsn8/ni9bkXV1duueee3T06NFzPl5YWKh169ZpxYoVFzT/Cy+8oMcff1wej+ecj9966616/PHHZZuk8eq6dev01FNPyev1nvNxy7L0wAMP6Jvf/OY5Hx8aGtI3vvENffTRR+d8PCMjQ//rf/0v3XDDDWH8NNHR0zMkj+fcPx/iW35+hhwOu9xuj3p76bmByOHeQrSYvLdau4f06H9ukyTNn5Wrv7th/oy+PqIvJztNdrtdHo9H/QOjEZ37P//wsVq7h5WR5tBT37omonMj9vG+iGji/kK0mLq37HabCgoyz3/hNERtxZXb7dYDDzwQDK3uuOMO3XzzzXI6ndq6davWr1+v7u5ufeMb39Brr72m0tLSac2/ZcsW/fCHP5QkVVZW6v7779f8+fPV3Nysp59+WocOHdKrr76qkpISffvb3z7r+b/61a/0s5/9TJJUUlKiu+++W8uWLZNlWdqzZ4/Wr1+vzs5OPfXUU8rNzdVdd9111hzf/e53g6HVDTfcoL/9279Vdna2du7cqV/84hcaGhrSww8/rJdeekmLFi2a1s8HAAAi5519LcHxMrYJYprKCjLU2j2s4VG3uk+NqDA33XRJAAAkjaituPqv//ov/cu//Isk6ZFHHtE//MM/THj8/fff19e//nW53W7dcccd+tGPfhT23OPj4/rMZz6j5uZmVVRU6JVXXlFBQcGEx//xH/9RH3zwgZxOp/70pz9N2LLX39+v66+/XgMDA6qqqtJLL72kwsKJH2I7Ojp05513qrm5WRkZGdq8efOE13j33Xf1ta99TZL0d3/3d/rBD34w4flHjhzR3//932toaEif/OQn9eyzz4b980USK64SF9/OIFq4txAtpu4tr8+nh596X6eGxpWWYte3v7BMDjttPhNNNFdc7TzSoTc+apAkfePWy7V6YUlE50ds430R0cT9hWhJpBVXUfvU9txzz0mS5syZo3vuueesx6+++mrdeuutkqTXXntNvb29Yc+9adMmNTc3S5IefPDBCYGSJKWkpOixxx6Tw+GQy+XSCy+8cNbzBwb8PQq+853vnBVaSf5VWA8//LAkaXh4WJs3bz7nz5ednR28LtSiRYuCYd2HH36oI0eOhP3zAQCAyDlU161TQ+OSpMvnFhBaYdrKCs40aD9Jg3YAAGZUVD651dTUBBuxf/azn5Xdbj/ndbfddpsk/7bCt956K+z5N27cKMkfUN10003nvKayslJXXnnlhOsDdu3aJUmy2+265prJ+xR88pOfDI6PHz8eHA8NDenDDz+UJF1//fXKzs4+5/MDP58kvfnmm5O+DgAAiJ539rUGx8uqL+5QGCSn0oJ0WZZ/XN8+aLYYAACSTFSCqz179gTHa9eunfS6pUuXKiUlRZK0bdu2ac+/dOlSpaWlTXrdypUrJUnNzc1qbGwM/v61116re++9V3fccceUzw/dRTk2NhYc79+/X263W5K0Zs2aSZ9fWlqqWbNmSZrezwcAACJjZMyt/TXdkqTivDRVFGac5xnA2ZwOu4py/Z8ZmzoIrgAAmElRac5eU1MTHM+ePXvS65xOp8rLy1VfXz/hOVMZHh5Wa6v/m9M5c+ZMeW3oa9fU1AT7XH3qU5/Spz71qfO+1o4dO4Lj8vLy4DiwmizcGpqamsL++QAAQOR89HGbXG5/r8dl1UWyAstmgGkqK8hQZ9+oTg2Na2B4XNkZKaZLAgAgKURlxVVHR4d/cptNZWVlU14bOE2wvb19WnNLE8OkqeaezvwBPp9PzzzzTPDXV1999UXV0Nvbq/Hx8WnVAAAALs57p7cJWpa0dG7Bea4GJlcWslqvjj5XAADMmKisuOrv97+Zp6WlTdrfKiA93X+ccKBZerhzS1Jm5tSd6gNz/+XzwrF+/Xrt27dPkn/L4dKlS4OPnTp16oJqGBgYOGcj+GjKyZl8KyTim/10c2G73ab8fLa+IHK4txAtM31vtXYNqq7N//li4ex8VZbmRP01YY7t9P1ls9uUkx35zz/zZuVp444mSVJ73yh/PyYR3hcRTdxfiJZEureiElwFVhYF+ldNJdBjKtzVSKHXpaamhjX3dOaXpLfeeks//elPJfm3M37ve9+b8RoixeGYOjhE/LMsi//OiAruLUTLTN1bm3c2Bcdrl5Sd98s0JAZLVlT+W88uzQ2Oa1v6+fsxCfG+iGji/kK0JMK9FZXgKvBhYTp9JMK91mY7s7sxGvO/8847+ta3vhVsvv6d73xnwmorSRM+DEWjhkhyuz0z/pqYGXa7TZZlyefzyePxmi4HCYR7C9Eyk/eWz+fTll3+g1nSU+1aPCdfHg/viYnMZrfJkiWffPJG4f5KcVoqzElTd/+o6lpO8RkrifC+iGji/kK0mLy3Ih2URSW4CmyPCz2JbzKjo6OSzr9yKSAj48wSt/PNH5g73Pk3bNighx9+WC6XS5J0991366677jrrutDtf2NjYxNqmqqGcFagRVp//yh/ASao/PwMORx2eTxe9fYOmy4HCYR7C9Eyk/fWx3U96un3f0647JICjYyMaySqrwjTcrL9LSq8Hq/6B0bP/4QLUJKfru7+UXX0jqilrV/pqVH5KI0Yw/sioon7C9Fi6t6y220qKJi6pdJ0RaU5e6Dv09jYmLzeqUOTkRH/x8icnPD6ToT2lBoenvoPPzB3OPM///zz+ta3vhUMre666y790z/903lrCH2NqWqwLCvsnxEAAFyct/c1B8fL5s1sf0kkrtAG7fVt4fVnBQAAFycqwVVFRYUkyePxqLOzc8prA6f9lZSUhDV3aWlpcKve+U4KDH18svl9Pp+eeOIJPfbYY8GQ7b777tOjjz466byBn0+S2trawqqhoKBADgffygEAEG0jY27tO9EtSSrKTVNlcWS/9UPyKisIOVmwjZMFAQCYCVEJrqqrq4PjxsbGSa8bHx9Xa2vrWc+ZSkpKiqqqqiRJDQ0NU14b+vi55vd6vXr00Uf19NNPS/Kvivrud7+rhx56aMp5Q+cKt4Z58+ZNeR0AAIiMjw61yeX2fxm1rLrQSI9JJKZyVlwBADDjohJcLVu2LDjetWvXpNcdOHAgeNLeihUrwp5/+fLlkqT9+/cHt/adS+C1S0tLVVlZedbjP/jBD/TKK69I8p8e+OSTT+qrX/3qeV9/4cKFwZ5Zu3fvnvS69vZ2NTX5TzRauXLleecFAAAX7939/i/FLEu6gm2CiKCsdKey0p2SpIb2QcPVAACQHKISXFVVVWnx4sWSpNdee23SPlevvvqqJMnhcOi6664Le/4bb7xRkr/H1YYNG855TXNzs7Zv3y5JuuGGG856/Pnnn9dLL70kyd+4fd26dbr55pvDev2MjAz99V//tSR/Q/ehoaFzXve73/0uOD5XDQAAILJau4d08vRKmHmVucrOmPmDUZDYAn2uOnpH5OJkQQAAoi4qwZUkffGLX5Qk1dbWat26dWc9/sEHHwSDq5tuuknFxcVhz33NNdcEtws+8cQTZ/W6crlc+v73vy+32y273R6sJeDkyZN68skng79+8sknde2114b9+tKZn6+vr0+PPfaYfD7fhMePHj2q//zP/5TkX221dOnSac0PAACmb+veluB4eTWrrRB55af7XHl9PjV0sOoKAIBoi1q38Ntvv12//e1vtW/fPj311FOqra3VbbfdpvT0dL3zzjt65pln5Ha7lZeXp0ceeeSs5y9cuDA4Pnr06ITHUlJS9Oijj+q+++5Te3u7br/9dt1///1asmSJWlpa9PTTT+vgwYOSpLvvvvus/lI///nPNTrqPyb52muvVVVVlQ4fPjzlz5ObmzuhKftVV12lT3/609qwYYN+97vfqb29XV/84heVn5+vnTt36j/+4z80NDSklJQUff/735/eHx4AAJg2r9enjw75D01JT7VrQVWe2YKQkEJPFjzZ2q95FbkGqwEAIPFZvr9cKhRBXV1duvvuu3Xs2LFzPp6Xl6ef//zn5+z/NFVwFfD888/rxz/+sTyecy/TvuWWW/STn/xkwml+w8PDWrt27ZS9sc7l1ltv1U9+8pMJvzc8PKz77rtP27ZtO+dz0tLS9OSTTwa3NprQ0zMkj+fcWzUR3/LzM+Rw2OV2e9TbO2y6HCQQ7i1ES7TvrX0nOvX/vnxAkrR2cYk+c+XsiL8GYldOdprsdrs8Ho/6B0aj9jp9A2P62Sv+++zqy8t0782XRe21EBt4X0Q0cX8hWkzdW3a7TQUFkT3ROWorriSpqKhIr7zyil588UW9/vrrqqur0+joqCorK3Xttdfq3nvvVWlp6QXP/+Uvf1mrVq3Ss88+q23btqm7u1sZGRlasmSJvvCFL+gzn/nMWc+pqamZdmg1mYyMDD377LP63e9+p9///vc6duyYhoaGVFJSoquuukr33nuvLr300oi8FgAAmNrWva3B8bLqIoOVIJHlZqUoLcWu0XEPWwUBAJgBUV1xBfNYcZW4+HYG0cK9hWiJ5r01NOrSt/6/9+Tx+FSan65//L+XRHR+xL6ZWnElSb/ccFQnWwfksFv6+cPXym6LWttYxADeFxFN3F+IlkRaccW7LAAAiHvv72+Vx+P/Lm75fFZbIbrKTjdod3t8auk69+nSAAAgMgiuAABA3Hv3gH+boM1maencAsPVINGVhzRor2sdMFgJAACJj+AKAADEtcaOATV3+le9LJiVq4w0p+GKkOgCK64kqb6t32AlAAAkPoIrAAAQ197e0xwcL2ObIGZAYU6anA7/x+j6dhq0AwAQTQRXAAAgbrk9Xm073CFJykp3an5lruGKkAxsNksl+emSRI8rAACijOAKAADErV1HOzU86pYkXTGvUDabZbgiJIvAdsHRcY86+zgJDACAaCG4AgAAceudfS3BMacJYiaF9rk6SYN2AACihuAKAADEpZ7+UR1p6JUkVZVkqSg3zXBFSCZlBenB8ck2gisAAKKF4AoAAMSld/a3yOfzj1lthZlWkp8u6/TO1IYOGrQDABAtBFcAACAuvb+/TZLkdNh02SX5hqtBsnE67MFVfk0EVwAARA3BFQAAiDtH6nvV3T8qSVpySb5SnXbDFSEZlZ7uc3VqaFyDIy7D1QAAkJgIrgAAQNx5e29zcMw2QZgyoUF7W7/BSgAASFwEVwAAIK6MjLm153iXJKkwJ1VVJVmGK0KyCg2u6mnQDgBAVBBcAQCAuPLRoTa53F5J/tVWVqBDNjDDSkNOFiS4AgAgOgiuAABAXHlnX4skybKkK+YVGq4GySwzzansDKckqbGTBu0AAEQDwRUAAIgbzZ2Dqm/3BwTVlbnKzkgxXBGSXWC7YGfvqFxuj+FqAABIPARXAAAgbmzZ0xIcr6ApO2JAILjy+nxq7GDVFQAAkUZwBQAA4oLb49W2j9skSZlpDs2vyjVcEUCDdgAAoo3gCgAAxIVdRzs1NOqWJC2rLpLdxscYmFdWeCa4OklwBQBAxPGJDwAAxIWte5uD4+VsE0SMyMtKUarTLklqYKsgAAARR3AFAABiXvepER1t7JMkzS7NUlFumtmCgNMsy1JpQbokqbVrSF6fz3BFAAAkFoIrAAAQ897e26JAHkBTdsSaQJ+rcbdX7T3DhqsBACCxEFwBAICY5vX59P6BVklSqtOuyy7JN1wRMBEN2gEAiB6CKwAAENMO1narb3BcknT53AI5HXbDFQETlRbQoB0AgGghuAIAADHt7T0twTHbBBGLSvLSZLNZkqSGdoIrAAAiieAKAADErMERlw7UdkuSSvPTVV6YcZ5nADPPbrep+PSBAU2dQ4arAQAgsRBcAQCAmPXOvhZ5vP6u7CsWFMuyLMMVAecW6HM1OOJS3+CY4WoAAEgcBFcAACBmvbvPv03QbrO0dG6B4WqAyZWFrAasZ7sgAAARQ3AFAABi0vHGPrX3jkiSFs/JV3qqw3BFwORCG7TXtxJcAQAQKQRXAAAgJm3Z0xwcr1hAU3bEtrL89OCYFVcAAEQOwRUAAIg5I2Nu7TrWKUkqyE7VJWXZhisCppaW6lBeVookqalz0HA1AAAkDoIrAAAQcz442CqX2yvJv9qKpuyIB4Htgl2nRjXm8hiuBgCAxEBwBQAAYs7be/1N2W2WpWXVbBNEfCg9vV3Q55MaO9guCABAJBBcAQCAmHKyrV/NnUOSpAWzc5WV7jRcERCestAG7W0EVwAARALBFQAAiClv7TrTlH3l/GKDlQDTExpcnSS4AgAgIgiuAABAzBhzebTjSIckKTczRXMrcgxXBIQvNytFqU67JKmpgwbtAABEAsEVAACIGR8dags2tV6xoEg2G03ZET8sy1JZgb/PVWv3sLw+n+GKAACIfwRXAAAgZgSasluWtJym7IhDgZMFx91etfcMG64GAID4R3AFAABiQnPnYLChdXVlrnIyUwxXBEwfDdoBAIgsgisAABAT3trdFByvXEBTdsSnUhq0AwAQUQRXAADAOJfbq20f+5uyZ2c4NX9WruGKgAtTnJcmm+XvzdZIg3YAAC4awRUAADBu28ftGh5zS5KWVdOUHfHLYbepOC9NktTUSXAFAMDFIrgCAADGbdnTHByvnE9TdsS3wHbBgWGX+ofHDVcDAEB8I7gCAABGtXQNqq61X5I0rzJHedmphisCLk5pQXpwXN/Wb7ASAADiH8EVAAAwavOuM6utVtGUHQlg4smCbBcEAOBiEFwBAABjXG6vPvq4TZKUle7U/CqasiP+leaHBFftnCwIAMDFILgCAADGbPu4XSNjHknS8vlFstv4aIL4l5HmUE5miiSpiZMFAQC4KHw6BAAAxry998w2wRU0ZUcCKc3397nq7BuVy+0xXA0AAPGL4AoAABjR0jWo2pbTTdkrcpRPU3YkkECfK6/Pp0ZWXQEAcMEIrgAAgBETmrIvpCk7EsuEBu30uQIA4IIRXAEAgBnncnu17eN2STRlR2IqLUgPjuvbCK4AALhQBFcAAGDGbT/cruExtyRp+fxCmrIj4eRnpyrF6b+vG9vZKggAwIXiUyIAAJhxW/aENmVnmyASj2VZKs33bxds6R6Wz+czXBEAAPGJ4AoAAMyoxvb+YFP2uTRlRwIrO71dcMzlUUfviOFqAACITwRXAABgRr3+/sngeDVN2ZHASmnQDgDARSO4AgAAM2bc5dG7e1skSdkZNGVHYptwsiAN2gEAuCAEVwAAYMa8vbsppCl7EU3ZkdCK89JlWf5xAyuuAAC4IHxaBAAAM+aN9+skSZYlrZxfZLgaILqcDpuKctMkSc1dQ4arAQAgPhFcAQCAGVHXcko1zackSdWVucrNoik7El+gz1Xf4LiGRl2GqwEAIP4QXAEAgBnxxgcng+NVNGVHkijNTw+O61vZLggAwHQRXAEAgKgbG/fovX3+pux5WamqrqQpO5JDaIP2k/S5AgBg2giuAABA1H1wqFWj4x5J0pVLSmWzWYYrAmZGaUhwRYN2AACmj+AKAABE3du7myVJNktae1mp4WqAmZOV7lRWulOS1NgxaLgaAADiD8EVAACIqrrWfjV2+k9UWzK3iKbsSDqlBf4+V+29I3J7vIarAQAgvhBcAQCAqNq8qyk4vmppucFKADMCfa68Xp+au4YMVwMAQHwhuAIAAFEzMubWziMdkqSCnFQtmJNvuCJg5oU2aOdkQQAApofgCgAARM27+1s07vZvjfrE5eWyWTRlR/IpzU8Pjuvb+w1WAgBA/CG4AgAAUfP2nhZJks1m0ZQdSasgJ00Ou/9jdwMN2gEAmBaCKwAAEBVHG3rV1jMsSbpsTn7wZDUg2dhsVnDVVQs9rgAAmBaCKwAAEBWhTdlXLSw2WAlgXuBkwZExj7pOjRiuBgCA+EFwBQAAIm5wxKU9J7okScV5aZpdmmW4IsCsCQ3a22jQDgBAuAiuAABAxL29p1kej0+Sf7WVRVN2JLnS0OCqneAKAIBwEVwBAICI8vl82rrX35Td6bDpirmFhisCzAs9WbChnQbtAACEi+AKAABE1MG6bnX3j0qSLr+0QGmpDsMVAealOO0qyEmVJDVxsiAAAGEjuAIAABG1eVdzcExTduCMQJ+rnoExjYy5DVcDAEB8ILgCAAAR09M/qoO1PZKk8sIMVRRlGq4IiB2hfa4a6HMFAEBYCK4AAEDEbNnTLK/P35R9NautgAlC+1yd5GRBAADCQnAFAAAiwuv16b39rZKkVKddSy4tMFwREFvKJqy4os8VAADhILgCAAARsetYh04NjUuSllUXKsVpN1wREFuyM5zKOH1YQWMHK64AAAgHwRUAAIgImrIDU7MsS6UF/u2CbT3D8np9hisCACD2EVwBAICL1tYzpGONfZKkOaVZKs5Ln/oJQJIKNGh3e3xq7hoyXA0AALGP4AoAAFy00NVWqxeVGKwEiG2hfa7qadAOAMB5EVwBAICL4nJ79OHBNklSZppDi2bnmS0IiGETgqt2gisAAM6H4AoAAFyUjw61a3jMLUlasaBIdjsfL4DJFOamym6zJEkNBFcAAJwXnywBAMBFeWt3U3C8cgFN2YGp2G02leb7e8C10OMKAIDzIrgCAAAXrL59QPXtg5Kk+bNylZeVargiIPYFGrQPjbrV0z9quBoAAGIbwRUAALhgm3Y0BserF7HaCggHfa4AAAgfwRUAALggI2Nu7TjSIUnKy0rRvIpcwxUB8aG0ID04PsnJggAATIngCgAAXJB397Vo3O2V5O9tZTvdcBrA1EpDV1wRXAEAMCWCKwAAcEG27GmWJNltllbMLzJcDRA/Up12FWT7+8E1dQ4argYAgNhGcAUAAKbtSH2v2ntHJEmXXZKvzHSn4YqA+BJYddXTP6aRMbfhagAAiF0EVwAAYNo27jzTlH3VQpqyA9NVFtLnqoEG7QAATIrgCgAATEvf4Jj21XRLkkrz01VVkmW4IiD+hPa5okE7AACTI7gCAADTsmVPs7xenyT/aivLoik7MF3lhSEN2llxBQDApAiuAABA2Lxen97d1yJJSnHatHReoeGKgPiUle5URppDktTYQYN2AAAmQ3AFAADCtvt4p/oGxyVJy+YVKtVpN1wREJ8sy1LZ6e2CbT3D8ni9hisCACA2EVwBAICwbd7VFByvWlhisBIg/pWebtDu8fjU3DVkuBoAAGITwRUAAAhLe8+wjjb0SZJml2apJD996icAmFJZSIP2+lb6XAEAcC4EVwAAICybQlZbrWa1FXDRJgRXNGgHAOCcCK4AAMB5udwefXiwTZKUmebQ4jl5ZgsCEkBhTpocdv+pnA3tNGgHAOBcCK4AAMB5fXiwXcNjbknSigVFstv5CAFcLJvNCm65baHHFQAA58SnTgAAcF6bd/u3CVqWtGpBseFqgMQR2C44POZW96kRw9UAABB7CK4AAMCUalv71djh38a0YFaecrNSDVcEJI7QPlcn2+hzBQDAXyK4AgAAU9q0ozE4Xr2I1VZAJJUSXAEAMCWCKwAAMKnhUZd2Hu2UJBVkp2puRY7hioDEUnq6x5UkNXCyIAAAZyG4AgAAk3p7b4vcHq8kadWiYlmWZbgiILGkOO0qzPFvv23qpEE7AAB/ieAKAACck8/n09t7miVJDrul5dVFhisCElNgu2DvwJiGR92GqwEAILYQXAEAgHM6WNetrlOjkqTL5xYqPdVhuCIgMYU2aK9v6zdYCQAAsYfgCgAAnNOmnU3B8eqFNGUHomXCyYL0uQIAYAKCKwAAcJbuUyM6WNcjSaooylRFUabhioDEVVYYuuKK4AoAgFAEVwAA4CybdzXJ5/OP1yxitRUQTVnpTmWlOyVJDR2DhqsBACC2EFwBAIAJ3B6v3jvQJklKT7XrsksKDFcEJL7AqquOnhG53F7D1QAAEDsIrgAAwATbD7drcMQlSVpWXSSng48LQLQF+lx5fT41drLqCgCAgKgfDzQ+Pq4XXnhBr7/+umprayVJ5eXluuGGG3TXXXepqOjijtY+ePCg1q9frx07dqinp0d5eXm67LLLdOedd+r666+f9nw1NTX63Oc+p5ycHL3//vtTXnvs2DHdcsstYc372GOP6fOf//y06wEAYKZt3tUcHNOUHZgZ5aEnC7b2a255jsFqAACIHVENrrq6unTPPffo6NGjE36/pqZGNTU1evnll7Vu3TqtWLHiguZ/4YUX9Pjjj8vj8QR/r7OzU1u3btXWrVt166236vHHH5fNFt43xaOjo/rud7+r8fHxsK4/fPjwBdUNAECsaugYUF1rvySpujJHBTlphisCkkNog/aTNGgHACAoasGV2+3WAw88EAyt7rjjDt18881yOp3aunWr1q9fr+7ubn3jG9/Qa6+9ptLS0mnNv2XLFv3whz+UJFVWVur+++/X/Pnz1dzcrKefflqHDh3Sq6++qpKSEn37298+73wul0sPPvig9u3bF3YNR44ckSTl5eXp2WefnfLa8vLysOcFAMCUjdsbg+PVi0oMVgIkl7ysFKU67RpzedTQTnAFAEBA1IKrl19+WXv37pUkPfLII/qHf/iH4GOrV6/WJz7xCX39619XT0+Pfvazn+lHP/pR2HOPj48HQ6uKigq9/PLLKijwN45dvny5brzxRv3jP/6jPvjgAz3zzDP6/Oc/r6qqqknn6+rq0v/8n/9TO3funNbPGAiuFi9erMWLF0/ruQAAxJqRMbd2HOmQ5P9HdHVlruGKgORhWZbKCtJV3z6olu5heX0+2SzLdFkAABgXtW6rzz33nCRpzpw5uueee856/Oqrr9att94qSXrttdfU29sb9tybNm1Sc7O//8aDDz4YDK0CUlJS9Nhjj8nhcMjlcumFF16YdK4NGzbo1ltvDYZW4W4rlCYGVwAAxLt39rZo/PRpZqsWFstm4x/NwEwKNGh3ub1q7x42XA0AALEhKsFVTU1NsBH7Zz/7Wdnt9nNed9ttt0nybyt86623wp5/48aNkvwB1U033XTOayorK3XllVdOuP4v3XvvvXrwwQfV0dEhy7L0wAMPaPXq1WHV0N7erp6eHknSokWLwq4dAIBYtWWP/0shu83SivkXd3gKgOkL7XNV19ZvsBIAAGJHVIKrPXv2BMdr166d9LqlS5cqJSVFkrRt27Zpz7906VKlpU3eNHblypWSpObmZjU2Np71eKCf1Zw5c/Tcc8/pwQcfDLuGwGoriRVXAID4d7CuWx19I5KkJZcWKCPNabgiIPmUhZwseLKVPlcAAEhR6nFVU1MTHM+ePXvS65xOp8rLy1VfXz/hOVMZHh5Wa2urJH/gNJXQ166pqTmrz1V5ebm++c1v6u/+7u+CAVq4AsFVamqqnE6nHn/8cb3zzjtqbm5WWlqa5s+fr5tvvll/+7d/K4cjqoc3AgBw0TbtbAqOVy8qNlgJkLyK8tJkt1nyeH1q6Bg0XQ4AADEhKolKR4e/savNZlNZWdmU15aWlqq+vl7t7e3Tmls6/0l9oScVnmv+3//+99PqaRUqEFz5fD7dcsstcrlcwcfGx8e1a9cu7dq1S7/97W/1i1/8YtqnJgIAMFN6+kd1sNa//b28MEOVRZmGKwKSk91mU0l+ulq7h9XUSXAFAIAUpeCqv9+/Jz8tLW3S/lYB6enpkqSBgfCWQwfmlqTMzKk/WAfm/svnBVxoaCVJhw8fluQPqbKysvTVr35Vn/zkJ5WZmaljx47pl7/8pY4fP66PP/5YX/va1/Sb3/xmQj0zJSdn8q2UiG92uy34//PzM85zNRA+7q3k88eP6uX1+SRJf728Qrk50Xm/sp2+t2x2m3KyeX9CZCXK/TW7NFut3cMaHnXLbUnFefw9bBrvi4gm7i9ESyLdW1EJrsbHxyUprO13gR5VgeeEO7fk36YXztzTmT8cIyMjqq+vl+Rf1fXLX/5Sl1xySfDx5cuX63Of+5wefPBBbdmyRceOHdMvfvELPfTQQxGrIVwOx9TBIeKfZVn8d0ZUcG8lB7fHq807/H0gM1IdWrWo7LxfOl0sS1bUXwPJK97vr1ml2dr2sX+nwMnWAZUXZRuuCAG8LyKauL8QLYlwb0UluAp8WLCs8I/RDvfa0FVS0Zg/HGlpadq8ebMaGxtVXFw8IbQKSElJ0RNPPKHrr79eAwMD+vWvf60HH3xwxj9Iud2eGX09zBy73SbLsuTz+eTxeE2XgwTCvZVctu5u0qkh/5c7qxeXyG6TPJ7ovHfY7DZZsuSTT17uLURYotxf5SEnCx6r79WaxbSbMI33RUQT9xeixeS9FemgLCrBVWBL3NjY2HmvHR0dlXT+1VMBGRln3szPN39g7unMHw7LslRRUaGKioopr8vJydGnPvUpvfLKKzp16pQ+/vhjLV26NGJ1hKO/f5S/ABNUfn6GHA67PB6venuHTZeDBMK9lVx+/05tcHzF3AL1D4xOcfXFycn2txDwerxRfR0kp0S5v7JSz3zYP1rfw9/DMYD3RUQT9xeixdS9ZbfbVFAQ2X6pF97kaQqB3lNjY2PyeqcOTUZG/Edv5+TkTGtuyX/CYDhzT2f+SFu4cGFwHDgNEQCAWNDYMaC6Vn8PyHmVOSqgLyJgXIrTrqJc//8WmzqGDFcDAIB5UQmuAiuRPB6POjs7p7w2cNpfSUlJWHOXlpYGt9ud7yTC0MfDnT/SQhuyh548CACAaW+e7m0lSWsWmXmfBHC20gL/DoPewTENjfL5EQCQ3KISXFVXVwfHjY2Nk143Pj4eXIUU+pyppKSkqKqqSpLU0NAw5bWhj4c7fzgaGxu1adMm/eY3v1FPT8+U14Y+XlBQELEaAAC4GCNjbu043CFJystKUXVlruGKAASUFZz54rO+NbyTtwEASFRRCa6WLVsWHO/atWvS6w4cOBA87W/FihVhz798+XJJ0v79+6dcxRR47dLSUlVWVoY9//ls2LBBDzzwgL7//e/ro48+mvLa3bt3S/L3xVqyZEnEagAA4GK8s7dF427/dv5VC4tls0XuEBMAF6cspEF7XVu/wUoAADAvKsFVVVWVFi9eLEl67bXXJu1z9eqrr0qSHA6HrrvuurDnv/HGGyX5e1xt2LDhnNc0Nzdr+/btkqQbbrgh7LnDsWbNmuD4v//7vye9rra2Vu+9954k6eqrrzbWZwsAgL/01p4mSZLdZmnF/CLD1QAIVV5wJriqb2PFFQAguUUluJKkL37xi5L84c26devOevyDDz4IBlc33XSTiouLw577mmuuCW4XfOKJJ87qdeVyufT9739fbrdbdrs9WEukLFu2TJdddpkkacuWLXrjjTfOuqavr0/f/va35fF4ZFmWvvGNb0S0BgAALtTBum519vlPXbv80gJlpDkNVwQgVEaaUzkZ/v9dNnYMGq4GAACzHNGa+Pbbb9dvf/tb7du3T0899ZRqa2t12223KT09Xe+8846eeeYZud1u5eXl6ZFHHjnr+aGn8R09enTCYykpKXr00Ud13333qb29Xbfffrvuv/9+LVmyRC0tLXr66ad18OBBSdLdd9+tefPmRfzn+8EPfqAvfelLGh8f18MPP6zt27fr05/+tNLS0nTw4EH9n//zf9TW1iZJ+vrXv65Vq1ZFvAYAAC7ExpCm7KsX05QdiEVlhZnqH+5TR9+Ixl0epTjtpksCAMCIqAVXNptN//7v/667775bx44d0xtvvHHWyqS8vDz9/Oc/V1lZ2bTnv+666/TP//zP+vGPf6zOzk7967/+61nX3HLLLXrooYcu+GeYyrJly7Ru3To9/PDD6u/v169//Wv9+te/nnCNzWbTvffeq29/+9tRqQEAgOnqPjWig3X+g0MqijJUWZRpuCIA51JemKFjjX3y+aT69gHNn5VnuiQAAIyIWnAlSUVFRXrllVf04osv6vXXX1ddXZ1GR0dVWVmpa6+9Vvfee69KS0sveP4vf/nLWrVqlZ599llt27ZN3d3dysjI0JIlS/SFL3xBn/nMZyL405ztmmuu0Z/+9Cc9//zz2rp1q+rr6+XxeFRcXKwrr7xSd955p6644oqo1gAAwHRs3t0sn88/XrOI1VZArJrQoL2ln+AKAJC0LJ8v8PEViainZ0gez7mb4yO+5ednyOGwy+32qLd32HQ5SCDcW4nL7fHqof/vPQ2NupWeatdDn18mhyNq7S7PkpOdJrvdLo/Ho/6B0Rl7XSSHRLu/+ofG9f/77X5J0icuK9XX/4bTqU3hfRHRxP2FaDF1b9ntNhUURHZF/8x9WgUAAEZt+7hdQ6NuSdKK+cUzGloBmJ7sDKcy0/ybI+rbOVkQAJC8+MQKAECS2LTzTFP2VQvDP80XwMyzLCu4XbC9d0RuVtADAJIUwRUAAEngZFu/6tsHJUnzZ+UqPzvVcEUAzqf8dHDl9frU0DFouBoAAMwguAIAIAm8uf3Maqs1i2nKDsSD8pAeISdb+w1WAgCAOQRXAAAkuMERl3Ye7ZQkFWSnal5FjuGKAISjPPRkQYIrAECSIrgCACDBbd3bHOyPs3pRsSzLMlwRgHDkZqUoLcUuSWpoZ6sgACA5EVwBAJDAvD6ftuxpliQ5HTYtqy4yXBGAcFmWFVx11do9JI+XBu0AgORDcAUAQALbf6JLPf1jkqSlcwuUnuowXBGA6QicLOj2+NTcNWS4GgAAZh7BFQAACezNHU3B8epFNGUH4k1og/a6FvpcAQCSD8EVAAAJqr1nWEcaeiVJVSVZKivIOM8zAMSa0AbtJ9sGDFYCAIAZBFcAACSojTvPrLZaw2orIC4V5KQqxeH/yF5PcAUASEIEVwAAJKAxl0cfHmyVJGWmObR4Tp7ZggBcEMuygn2uWrqG5PX5DFcEAMDMIrgCACABfXCgVSPjHknSqoXFstt5ywfiVfnpbb7jbq/aumnQDgBILnyKBQAgAW3a5d8maLMsrVpYbLgaABejLKTPVV0r2wUBAMmF4AoAgARztKFXrd3DkqRFc/KUnZFiuCIAF6O8MORkQYIrAECSIbgCACDBvLmjMThes5im7EC8K8pNk+P0dt/69n7D1QAAMLMIrgAASCC9A6PaV9MtSSrNT9fskizDFQG4WDabpdKCdElScyc9rgAAyYXgCgCABLJ5V5O8Xv+pY6sXlciyLMMVAYiE8tN9rkbHPWrvGTZcDQAAM4fgCgCABOH2ePXu/lZJUqrTrqVzCwxXBCBSAicLSlJdG9sFAQDJg+AKAIAEseNIhwaGXZKk5fOLlOK0G64IQKSUhTRoP0mDdgBAEiG4AgAgQWwKbcq+qNhgJQAirSQvTTabf+vvyTaCKwBA8iC4AgAgAdS3D6ju9D9mqytzVJCTZrgiAJFkt9tUmu9v0N7UMWi4GgAAZg7BFQAACeDN7WdWW61eVGKwEgDREmjQPjzmVmcfDdoBAMmB4AoAgDg3NOrSzqMdkqT87FTNn5VruCIA0VBRdKbPVW0LDdoBAMmB4AoAgDi3ZXezXG6vJGn1omJZlmW4IgDRUB7SoL2OBu0AgCRBcAUAQBzz+nx6e0+zJMnpsGl5dZHhigBES0lemuynG7TXtbLiCgCQHAiuAACIY3uPd6pnYEyStHRugdJTHYYrAhAtdrtNpQU0aAcAJBeCKwAA4tibO5qC4zWLacoOJLrAdsGRcY86emnQDgBIfARXAADEqdbuIR1r7JMkzSnNUml+htmCAERdReGZ/53ToB0AkAwIrgAAiFNv7mgMjlltBSSHck4WBAAkGYIrAADi0Oi4Wx8dapckZWc4tXB2ntmCAMyI4pAG7SfbOFkQAJD4CK4AAIhD7+xr0ZjLI0lavbBYdhtv6UAysNtsKivwbxds6hyUz+czXBEAANHFp1wAAOLQW7uaJUl2m6WVC4oNVwNgJpUX+YOr0XGP2mnQDgBIcARXAADEmYN13eroG5EkXXZJvjLTnYYrAjCTKgrpcwUASB4EVwAAxJk3t9OUHUhmgRVXklTXSp8rAEBiI7gCACCOdPaN6NDJHklSRVGGZhVnGa4IwEwrzk2Xw+7/GH+ylRVXAIDERnAFAEAc2bijUYFezGsXl5otBoARNpulsoJ0SVJT5xAN2gEACY3gCgCAODHu8uj9g62SpMw0hy67JN9wRQBMKT/d52rM5VFbDw3aAQCJi+AKAIA48f7BVo2MeSRJKxcUB7cKAUg+FSF9rmjQDgBIZHziBQAgTmza2SRJslmWVi0sNlwNAJPKQ04WrKPPFQAggRFcAQAQB4429Kq1278daNGcPOVkphiuCIBJRblpcjpON2hv42RBAEDiIrgCACAObNjeGByvWVxisBIAscDfoN2/XbC5c1BeGrQDABIUwRUAADGup39U+2u6JUml+emaXZJluCIAsaC80B9cjbm8auseMlwNAADRQXAFAECM27SrKbiaYu3iElmWZbgiALGgouhMn6saGrQDABIUwRUAADHM7fHqvf2tkqT0VLsun1touCIAsSKw4kqS6giuAAAJiuAKAIAY9uHBNg2OuCRJK+YXB5sxA0BhTppSTv+dUEeDdgBAguLTLwAAMWzTTn9TdsuSVi8qNlwNgFhis1kqP71dsLlzSB6v13BFAABEHsEVAAAx6kRznxo7/Q2XF1TlKS8r1XBFAGJNRZF/u6Db41Vjx6DhagAAiDyCKwAAYtSG7Y3B8drFJQYrARCrKkMbtDefMlgJAADRQXAFAEAM6hsY1Z7jXZKk4rw0XVKWbbgiALEo9GTB2hb6XAEAEg/BFQAAMWjTrmZ5vT5J0trFpbIsy3BFAGJRbmaKMtMckqS6Nk4WBAAkHoIrAABijNvj1Tv7WiRJaSl2LZ1bYLgiALHKsqzgqqv2nmGNuTyGKwIAILIIrgAAiDHbPm7X4IhLkrR8fpFSnHbDFQGIZYHgyueTTray6goAkFgIrgAAiDEbd55pyr5mEU3ZAUwttM9VTQvBFQAgsRBcAQAQQ2paTqmh3X+k/YKqXOVnpxquCECsqyzKCI45WRAAkGgIrgAAiCEbtjcEx2sWs9oKwPllpDmVl5UiSapv52RBAEBiIbgCACBG9A2Oac+xLklSUW6a5pbnGK4IQLyoPL1dsKd/LNgjDwCAREBwBQBAjHhrd5M8Xp8k/2ory7IMVwQgXkzsc8V2QQBA4iC4AgAgBrg9Xm3d2yJJSnXatWxeoeGKAMSTiuKQ4Io+VwCABEJwBQBADNh+uF0Dw/7tPcvnFyrFaTdcEYB4Ul6QocAizTpOFgQAJBCCKwAAYsDGHY3B8ZpFNGUHMD0pTruK89IlSfWnTyYFACAREFwBAGBYbWt/8B+a82flqiAnzXBFAOJRoEH74IhL3adGDFcDAEBkEFwBAGDYhm0NwfHaxay2AnBhQhu0n2hmuyAAIDEQXAEAYFD/8Lh2H++UJBXlpmluRY7higDEq9DgqpY+VwCABEFwBQCAQZt3Nsrj8Uny97ayAt2VAWCaSvLT5LD7/w6pbeVkQQBAYiC4AgDAEI/Xq617WyRJqU67rqguNFwRgHhmt9lUVpAhSWrqGJLP5zNcEQAAF4/gCgAAQ7Yf7lD/sEuStLy6UKlOu+GKAMS7wHbBMZdHLV1DhqsBAODiEVwBAGDIxh2NwfEamrIDiIDKkD5XNTRoBwAkAIIrAAAMqGvt18m2AUlS9axcFeSkGa4IQCKoKA49WZA+VwCA+EdwBQCAARu2NwTHa1ltBSBCCrJTlZ7q33Zc28qKKwBA/CO4AgBghvUPj2vXsU5JUmFOmuZV5BiuCECisCxLlcVZkqS27mGNuzyGKwIA4OIQXAEAMMM272qSx+M/7Wvt4hJZlmW4IgCJJNDnyuvzqbaFVVcAgPhGcAUAwAzyeL3auqdZkpTitOmK6kLDFQFINLNC+lwdb6LPFQAgvhFcAQAwg7Yf7lD/sEuStKK6SKlOu+GKACSaCScLthBcAQDiG8EVAAAzaOOOxuB4DU3ZAURBWqpDRbn+k0pP0qAdABDnCK4AAJghda39Otk2IEmqnpWrgpw0wxUBSFSVp7cL9g+71H1qxHA1AABcOIIrAABmyIbtDcHxWlZbAYiiWadPFpSkE81sFwQAxC+CKwAAZkD/8Lh2HeuUJBXmpGpeRY7higAkssqQBu0nmtkuCACIXwRXAADMgM27muTx+CRJaxaXyrIswxUBSGQleelyOvwf9WtZcQUAiGMEVwAARJnH69XWPc2SpBSnTcuqCw1XBCDR2WyWKgozJEmNnUPyeL2GKwIA4MIQXAEAEGXbD3eof9glSVpRXaRUp91wRQCSQeXpPlduj1f17YOGqwEA4MIQXAEAEGUbdzQGx6tpyg5ghswK7XPV1GeuEAAALgLBFQAAUVTX2q+TbQOSpOpZuSrMSTNcEYBkMbFBO32uAADxieAKAIAo2rC9IThey2orADMoOyNFuZkpkqS61gHD1QAAcGEIrgAAiJL+4XHtOtYpSSrMSdW8ihzDFQFINoFVV92nRjU44jJcDQAA00dwBQBAlGze1SSPxydJWrO4VJZlGa4IQLKZ0Oequc9cIQAAXCCCKwAAosDj9WrrnmZJUorTpmXVhYYrApCMAicLStLxRvpcAQDiD8EVAABRsONwh/qH/dtyVlQXKdVpN1wRgGRUVpAhm82/2rO2td9wNQAATB/BFQAAUbBxR2NwvJqm7AAMcTpsKitIlyQ1tA3I5/MZrggAgOkhuAIAIMJOtvWrrs1/glf1rFwV5qQZrghAMqss8m8XHBn3qLV7yHA1AABMD8EVAAAR9udtDcHx2kWstgJgVmiD9mP0uQIAxBmCKwAAImhgeFy7j3VKkgpzUjWvMsdwRQCSXVXJmQbtx5r6zBUCAMAFILgCACCCNu9uktvj7yGzZnGpLMsyXBGAZJeblaKsdKckqbaZBu0AgPhCcAUAQIR4vF5t3dMiSUpx2rSsutBwRQAgWZYVXHXV0TeioVGX4YoAAAgfwRUAABGy80iHTg2NS5KWVxcp1Wk3XBEA+M0qOdPn6nhjn7lCAACYJoIrAAAi5M0dTcHxGpqyA4ghoX2ujhJcAQDiCMEVAAARUN8+oLpWf++YeZU5KsxNM1wRAJxRXpAhu83fc+9EEycLAgDiB8EVAAARsGFbQ3C8dnGpwUoA4Gx2u00VRf7tgg0dg/J4vYYrAgAgPARXAABcpMERl3Ye7ZAkFeSkqroyx3BFAHC2wHZBl9ur+rYBw9UAABAegisAAC7SW7ua5Pb4JPl7W1mWZbgiADgbfa4AAPGI4AoAgIvg9fr09t5mSVKKw6Zl1YWGKwKAcws9WZA+VwCAeEFwBQDARdh5tEN9g+OSpGXVhUpLcRiuCADOLTPNqYKcVElSbUu/4WoAAAgPwRUAABdh447G4HjNohKDlQDA+QW2C54aGlf3qRHD1QAAcH4EVwAAXKCGjgHVnF61MLciR0V56YYrAoCphfa5OsZ2QQBAHCC4AgDgAr25PWS11WJWWwGIfbOKQ4IrGrQDAOIAwRUAABdgaNSlHUc6JEl5WSmaX5lruCIAOL/ivDSlpdglSSeaWXEFAIh9BFcAAFyAt/c0y+X2SvL3trLZLMMVAcD5WZalWcX+0wVbu4Y15vIYrggAgKkRXAEAME1en09v7W6WJDkdNi2fX2S4IgAI36zTfa68Pp9qWHUFAIhxBFcAAEzTnmOd6h0YkyQtnVug9FSH4YoAIHyhDdqP0ucKABDjCK4AAJimjTubgmOasgOIN5VFmbJO724+wcmCAIAYR3AFAMA0tHQNBk/imlOWrdL8DLMFAcA0pTjtKivw/911srVfPp/PcEUAAEyO4AoAgGnYsKMxOF7LaisAcWpWsX+74Mi4Ry1dQ4arAQBgcgRXAACEaWTMrW2H2iVJOZkpWliVZ7YgALhAs0vP9Lk6XN9rsBIAAKYW1W6y4+PjeuGFF/T666+rtrZWklReXq4bbrhBd911l4qKLu4UpoMHD2r9+vXasWOHenp6lJeXp8suu0x33nmnrr/++mnPV1NTo8997nPKycnR+++/H9ZzNmzYoJdeekmHDh3S8PCwiouLdeWVV+orX/mKFi1aNO0aAACx6+29zRp3eyVJqxcWy2azDFcEABcmNLg62tinG1ZXGawGAIDJRS246urq0j333KOjR49O+P2amhrV1NTo5Zdf1rp167RixYoLmv+FF17Q448/Lo/HE/y9zs5Obd26VVu3btWtt96qxx9/XDZbeIvKRkdH9d3vflfj4+NhXe92u/VP//RP+sMf/jDh95ubm/W73/1Of/jDH/Too4/q7/7u78L/oQAAMcvn82nL7mZJkt1maeWCi/vyBQBMys5IUX52qnoHxmjQDgCIaVEJrtxutx544IFgaHXHHXfo5ptvltPp1NatW7V+/Xp1d3frG9/4hl577TWVlpZOa/4tW7bohz/8oSSpsrJS999/v+bPn6/m5mY9/fTTOnTokF599VWVlJTo29/+9nnnc7lcevDBB7Vv376wa/jpT38aDK3Wrl0bXEF26NAh/eIXv1BnZ6f+9V//VZWVlbrmmmum9fMBAGLP/tpudZ0alSQtnVugjDSn4YoA4OLMLs1S78CYTg2Nq7NvRMV56aZLAgDgLFHpcfXyyy9r7969kqRHHnlEP/rRj/TJT35Sq1ev1sMPP6z/+I//kMPhUE9Pj372s59Na+7x8fFgaFVRUaGXX35Zn//857V8+XJ99rOf1X/913/pqquukiQ988wzamxsnGo6dXV16atf/aq2bt0adg0nTpzQc889J0m67rrr9Nxzz+nGG2/UihUr9KUvfUkvv/yySktL5fV6z1oVBgCITxu3n3k/WUNTdgAJYHZpdnB8pIE+VwCA2BSV4CoQ6syZM0f33HPPWY9fffXVuvXWWyVJr732mnp7w3+j3LRpk5qb/Vs1HnzwQRUUFEx4PCUlRY899pgcDodcLpdeeOGFSefasGGDbr31Vu3cuVOSwt5W+Pzzz8vj8chut+t73/veWc8rKyvTI488Ikmqq6vT22+/He6PBwCIQR29wzp8+h91s0oyVV6YabgiALh4E/pcNfSZKwQAgClEPLiqqakJNmL/7Gc/K7vdfs7rbrvtNkn+bYVvvfVW2PNv3LhRkj+guummm855TWVlpa688soJ1/+le++9Vw8++KA6OjpkWZYeeOABrV69OqwaNm/eLElasWKFZs+efc5rbrrpJqWn+5dbv/nmm2HNCwCITW/uaJTP5x+vXcRqKwCJoSA7VVnp/m3P9LkCAMSqiAdXe/bsCY7Xrl076XVLly5VSkqKJGnbtm3Tnn/p0qVKS0ub9LqVK1dK8jdLP9d2wUA/qzlz5ui5557Tgw8+GNbrNzY2qrOzU5K0Zs2aSa9zOp264oorJE3v5wMAxJYxl0cfHmyTJGWlO7V4Tr7higAgMizLCq666ugbUf9weIcUAQAwk6Ky4ipgstVIkj/YKS8vP+s5UxkeHlZra6skf+A0ldDXPtf85eXl+t73vqc//vGPwdVZ4QidK9waWltbNTw8HPZrAABix3v7WzQy7u9VuHJBkez2qOyyBwAjJmwXrKfPFQAg9kT803dHR4d/YptNZWVlU14bOE2wvb19WnNLCoZe55t7svl///vf6ytf+Upw1Ve4IlkDACD2bd7l76tosyytWlhsuBoAiKzZJaEN2vvMFQIAwCQckZ6wv79fkpSWljZpf6uAQA+ogYGBac0tSZmZUzfGDcz9l88LCLcR+186derM/v/p1BDuzxhpOTmTb6dEfAus+rDbbcrPzzBcDRIJ99YZ+090qa3Hv2L2iupCVZbmGK4ovtlO31s2u0052bw/IbK4vy5MVmaq0lLsGh33qLa1P+n/3j8X3hcRTdxfiJZEurciHlyNj/v3xoezkinQoyrwnHDnlqTU1NSw5p7O/PFSw3Q4HFOHh4h/lmXx3xlRwb0l/fG9uuD4mhWzzvuFDMJjyeLPElHD/TU9drt0aUWuDp/sUWP7gFwen9JTI/5PhITA+yKiifsL0ZII91bE35UCHxQsywr7OeFeG7pKKhrzhyP0g1Ak540Wt9tjugREid1uk2VZ8vl88ni8pstBAuHe8uvsG9auo/7t4ZXFmaoqyZTHw9+pF8Nmt8mSJZ988ibxvYXo4P66cJeWZ+vwyR55fdKB4x1auaj0/E9KIrwvIpq4vxAtJu+tSAdlEQ+uAtvjxsbGznvt6OiopPOvXArIyDizvO188wfmns784Qjd/meqhuno7x/lL8AElZ+fIYfDLo/Hq95emv8jcri3/H731nF5vT5J0soFxRoYPP/7GqaWk+1vI+D1eNU/MHr+JwDTwP114UryzuwS2PFxuy4tzZ7i6uTD+yKiifsL0WLq3rLbbSoomLqt0nRFvDl7oO/T2NiYvN6pA5ORkRFJUk5OeD1DQntKne+UvsDc05l/ujWEvsb5asjNzY1YDQCA6HJ7vHp3v/8U2/RUuy6/tMBwRQAQPRVFmbLb/DsJjjX2mS0GAIC/EPHgqqKiQpLk8XjU2dk55bWBk/ZKSkrCmru0tDS4Ve98p/SFPh7u/OGorKwMjtva2sKqwbIsFRdzEhUAxIsPD7VpaNQtSVoxv1hOR8TfLgEgZjjsNlUW+7+cbWgfkJvV+gCAGBLxT+LV1dXBcWNj46TXjY+Pq7W19aznTCUlJUVVVVWSpIaGhimvDX083PnDMW/evHO+xlQ1VFRUTNhiCACIbZt3NgXHqxfyxQOAxDf79PZAt8en2pazT+QGAMCUiAdXy5YtC4537do16XUHDhwInrS3YsWKsOdfvny5JGn//v1yuVyTXhd47dLS0gmrpC5WSUlJcFXZ7t27J73O5XJp//79kqb38wEAzKptOaWGjkFJ0oKqPOVlm+lRCAAzaU5pVnB8pL7XYCUAAEwU8eCqqqpKixcvliS99tprk/a5evXVVyVJDodD1113Xdjz33jjjZL8Pa42bNhwzmuam5u1fft2SdINN9wQ9tzTrWHbtm1qaWk55zV/+tOfgj2uAtcDAGLfmzvOrBZes5jVVgCSw6ySLAUOzKbPFQAglkSlaccXv/hFSVJtba3WrVt31uMffPBBMLi66aabptX/6ZprrgluF3ziiSfO6nXlcrn0/e9/X263W3a7PVhLJH3hC1+Qw+GQy+XSP//zP5+18qu9vV1PPvmkJH9PrP/xP/5HxGsAAETewPC4dh/z92cszEnT3PLIHe4BALEs1WlXWYH/BO/a1n55fT7DFQEA4BeV4Or2228Pbhl86qmn9NBDD+ndd9/Vzp079b//9//W17/+dbndbuXl5emRRx456/kLFy4M/t9fSklJ0aOPPirJHxDdfvvt+tWvfqW9e/fqjTfe0J133qn3339fknT33XdP6EkVKfPmzdNdd90lSXr//fd155136o033tDevXv1q1/9Srfffrva29tlWZb+5V/+RU6nM+I1AAAib8vuZrk9/n+srVlcLCuw/AAAksCcMn+fq9Fxj062DRiuBgAAP0c0JrXZbPr3f/933X333Tp27JjeeOMNvfHGGxOuycvL089//nOVlZVNe/7rrrtO//zP/6wf//jH6uzs1L/+67+edc0tt9yihx566IJ/hvN55JFH1NHRoT/+8Y86ePDgWa9lt9v16KOP6tprr41aDQCAyPF6fXp7b7MkKcVh07J5RYYrAoCZNacsWx8d8u9mOHyyh1WnAICYEJXgSpKKior0yiuv6MUXX9Trr7+uuro6jY6OqrKyUtdee63uvfdelZaWXvD8X/7yl7Vq1So9++yz2rZtm7q7u5WRkaElS5boC1/4gj7zmc9E8Kc5m91u109/+lN9+tOf1m9+8xsdOnRIAwMDysvL05VXXqm7775bl19+eVRrAABEzq5jHeob9B8ackV1oVJT7IYrAoCZNed0nyufTzp8slef/eQlpksCAECWz8cG9kTW0zMkj+fcDfIR3/LzM+Rw2OV2e9TbO2y6HCSQZL23fvzCLh1vOiVJuv9zS1Scl264osSTk50mu90uj8ej/oFR0+UgwXB/RcZ//uFjtXYPK9Vp17qHrpHNxpbpZH1fxMzg/kK0mLq37HabCgoyIzpnVHpcAQAQT1q6BoOh1SVl2YRWAJLWJaf7XI25PKpr6zdcDQAABFcAAOjNHY3B8drFJQYrAQCzAg3aJenjul6DlQAA4EdwBQBIaiNjbm372N+MOCczRQuq8swWBAAGzSnNVuBA1SMNBFcAAPMIrgAASe3dfS0ac/l7Aa5aWEw/FwBJLTXFrvLCDElSbcspeb20wwUAmEVwBQBIam/taZYk2W2WVs4vMlwNAJg3J9jnyqvaVvpcAQDMIrgCACStg3Xd6ugdkSRddkm+MtOdhisCAPMuKcsJjj+u6zFYCQAABFcAgCS2MaQp+xqasgOAJGl2aRZ9rgAAMYPgCgCQlLpPjejg6ZUE5YUZqizKNFwRAMSGVKddFYX+vxNrW/rl8XoNVwQASGYEVwCApLRpV5N8p3sOr1lUIsuiKTsABAT6XI27vaptoc8VAMAcgisAQNJxub16b3+rJCk91a4llxYYrggAYssl5dnB8aGT9LkCAJhDcAUASDoffdymoVG3JGnF/GI5HbwdAkCo2SVZsp1eiXqkvs9sMQCApMYndQBA0tm8qyk4Xr2w2GAlABCbUpx2VRRlSJLqWvvl9tDnCgBgBsEVACCp1Lb2q6F9UJK0oCpXedmphisCgNgU6HPlos8VAMAggisAQFJ5c3tDcLxmUYnBSgAgttHnCgAQCwiuAABJY3DEpd3HOiVJBTmpmluRY7giAIhdVcVZstkCfa56DVcDAEhWBFcAgKSxZXez3B6fJP9qK+t042EAwNlSnHZVFmVK8ve5crk9hisCACQjgisAQFLw+nx6e2+zJMnpsGnZvELDFQFA7Lv09HZBt8eno419ZosBACQlgisAQFLYe7xTvQNjkqQr5hYqLdVhuCIAiH2hW6oP1tLnCgAw8wiuAABJYePOpuB49eJig5UAQPyoLM5UisP/T4aPadAOADCA4AoAkPDauod0tKFPkjS7NEul+RlmCwKAOGG32TSnzL9dsLlrSEOjLsMVAQCSDcEVACDhha62WrOoxGAlABB/AtsFfT62CwIAZh7BFQAgoY25PPrwUJskKSvdqUVz8swWBABx5tLy0D5X3QYrAQAkI4IrAEBCe/9Aq0bH/Ue4r1pYLLuNtz4AmI7ivDRlpTslSYcbeg1XAwBINnx6BwAktM27/NsEbZallQuKDFcDAPHHsixdWu7vc9XTP6bOvmHDFQEAkgnBFQAgYR1t6FVrt/8fWIvn5Ck7I8VwRQAQnwJ9riT6XAEAZhbBFQAgYb25ozE4XrOYpuwAcKEm9LmqI7gCAMwcgisAQELqGxjVvhp/E+HS/HRVlWQZrggA4ldOZoqKctMkScca++Tz+QxXBABIFgRXAICEtGlXs7xe/z+s1iwukWVZhisCgPgW2C44NOpWffuA4WoAAMmC4AoAkHDcHq/e3d8iSUpLsevySwsMVwQA8W/CdkH6XAEAZgjBFQAg4ew80qGBYZckaVl1kVKcdsMVAUD8m1OWpcDi1UMnCa4AADOD4AoAkHA27mwKjtcsKjZYCQAkjrQUhyqLMiVJtS39cnu8hisCACQDgisAQEJp6BhQXWu/JGleZY4KctIMVwQAiePS032uXG6vjjX2mS0GAJAUCK4AAAnlze2NwfGaRSUGKwGAxDN3Qp+rboOVAACSBcEVACBhDI+6tONIhyQpLytF1ZW5hisCgMQyqzhTTof/nxAH6+hzBQCIPoIrAEDCeHtvi1xuf8+V1YtKZLNZhisCgMRit9t0aXm2JKmpc0j9w+OGKwIAJDqCKwBAQvD5fNqyu1mS5LBbWl5dZLgiAEhMoatZ959guyAAILoIrgAACWFfTZe6+0clSUvnFiojzWG4IgBITPNCgqt9NV0GKwEAJAOCKwBAQti4oyk4Xk1TdgCImvzsVBXmpEqSjtT3yufzGa4IAJDICK4AAHGvvWdYRxp6JUlVJVkqL8wwXBEAJLbAqquhUbfqWvsNVwMASGQEVwCAuLdxZ6MCX/ivYbUVAETdhO2CJ9guCACIHoIrAEBcG3N59OHBNklSVrpTi+fkmS0IAJLAJWVZsp8+uXV/bY/hagAAiYzgCgAQ194/0KqRcY8kaeWCItntvLUBQLQ5HXbNKcuWJDW0D2h41GW4IgBAouLTPQAgrm3e5W/KbrMsrVpYbLgaAEge1ae3C/p80v7absPVAAASFcEVACBuHanvVWv3sCRp8Zw8ZWekGK4IAJJHdWVOcLz/BMEVACA6CK4AAHHrzR2NwfGaxTRlB4CZVJibptxM/xcGH5+kzxUAIDoIrgAAcal3YDS4NaU0P11VJVmGKwKA5GJZVnC7YP+wS/XtA4YrAgAkIoIrAEBc2rSzSV6vT5J/tZVlWYYrAoDkM2/CdsEug5UAABIVwRUAIO64PV69u79VkpSWYtfSuQWGKwKA5HRpeY5sp784oEE7ACAaCK4AAHHno0PtGhzxH72+YkGRnA674YoAIDmlpthVVerfqn2ydUCj427DFQEAEg3BFQAg7mza6W/KblnSmoU0ZQcAkwKnC3q8Ph2so0k7ACCyCK4AAHHlRPMpNXQMSpIWzMpTXnaq4YoAILnNO92gXZL2HafPFQAgsgiuAABx5c3tDcHxmsWstgIA00rz05WT4ZQkHaDPFQAgwgiuAABxo29wTHtOf5tfnJemS8uzDVcEALAsS/Or8iRJ/cMu1bX2my0IAJBQCK4AAHHjrd1N8nh9kqQ1i0pknT7JCgBg1vxZZ7YL7jraabASAECiIbgCAMQFt8errXtbJEmpTruumFdouCIAQMCl5Tly2P3/tNhfQ58rAEDkEFwBAOLCjiMdGhh2SZKWzy9UitNuuCIAQIDTYdPcCv/pgk2dQ+odGDVcEQAgURBcAQDiwsYdjcHxmkU0ZQeAWLOg6sx2wT2cLggAiBCCKwBAzKtr7dfJtgFJUvWsXBXkpBmuCADwl0L7XBFcAQAiheAKABDz/rytIThey2orAIhJ2RkpqijMkCQda+yTy+0xXBEAIBEQXAEAYlr/0Lh2H/efUFWYk6Z5lTmGKwIATGZ+VZ4kyeX26mBdj9liAAAJgeAKABDTNu5slMfjkyStvaxElmUZrggAMJkFp4MrSdp9tNNcIQCAhEFwBQCIWW6PV1v3tkiSUp12LZtXaLgiAMBUygrSlZ3hlCRWXAEAIoLgCgAQsz461K7BEZckacWCIqU47YYrAgBMxbIsLZiVJ0k6NTSuk239ZgsCAMQ9gisAQMzauMPflN2ypDU0ZQeAuDC/6szpgrvYLggAuEgEVwCAmHS8qU+NnUOS/D1T8rNTDVcEAAjHpeU5ctj9/8zYf6LLcDUAgHhHcAUAiEl/3tYQHF+5mNVWABAvnA6b5lZkS5IaO4fUOzBquCIAQDwjuAIAxJye/lHtO9EtSSrNT9ecsmzDFQEApmPC6YLH2C4IALhwBFcAgJizaWejvD6fJGnt4hJZlmW4IgDAdAQatEv0uQIAXByCKwBATHG5PXpnf6skKT3VocvnFhquCAAwXVkZTlWVZEmSjjed0vCo23BFAIB4RXAFAIgp7+1vDf4DZ9XCIjkdvFUBQDxaNCdPkuTx+tguCAC4YPxrAAAQU97c0ShJstksrVlEU3YAiFeLZucHxzuPdhisBAAQzwiuAAAxY39Nl9p7RyRJSy7JV3ZGiuGKAAAXKj87VWUFGZKkw/W9Gnd5DFcEAIhHBFcAgJjx520NwfGVl5UarAQAEAmB7YIut1f7TnSZLQYAEJcIrgAAMaG5c1BHGvokSbNLs1RRlGm2IADARVs858x2wR1H2C4IAJg+gisAQEz4U8hqq0+w2goAEkJRbpoKc9IkSQfreuT2eA1XBACINwRXAADjBkdc2n7Y/018fnaqFlTlmS0IABARlmUFtwuOjnt06GSP2YIAAHGH4AoAYNzGnY3Bb+HXLi6RzWYZrggAECmLQrcLHma7IABgegiuAABGuT1evb2nWZKU4rRpeXWR4YoAAJFUUZihnAynJGl/Tbe8Pp/higAA8YTgCgBg1IcH2zQw7JIkrZhfrNQUu+GKAACR5N8u6F91NTji0vHGPrMFAQDiCsEVAMCoDTsaJUmWJV25uMRwNQCAaAjdLrid7YIAgGkguAIAGHOwrlstXUOSpEWz85WXnWq4IgBANMwuyVJGmkOStPd4l+FqAADxhOAKAGDMGx82BMefvLzUYCUAgGiy2SwtPH1ibO/gmGpb+80WBACIGwRXAAAjGjsGdaShV5JUVZKlWcVZhisCAETT4pDtgh8dbDNYCQAgnhBcAQCMeOOj/3979x0eVZn2cfw7Jb2HNAgloYTeBURdUMQCFgRFUHZVZC1Y175rX3fV1VfXtbcFWbGABbCBFEEQEARUSugESEgnvWdmMu8fY8aEdEiYSfL7XNdeezLnPM/co7dzZu55yhHn8ej+Gm0lItLWxXYKwMfLMV1w674M7NpdUEREGkGFKxEROe1yC0rZujcTgNBAL+J+mz4iIiJtl8lopG+3YAByC8s5eCzPtQGJiEiroMKViIicdsu3JGGrcPzSfma/SIxGg4sjEhGR06F/bKjzeGO8pguKiEjDVLgSEZHTqqzcxrrtKQD4epkZ3LODiyMSEZHTpVtkAP4+HgD8vD+TCk0XFBGRBqhwJSIip9X3vyRTUmYD4Iw+4XiYTS6OSEREThej0UC/GMci7QXFFvYezXFxRCIi4u5UuBIRkdOmwm5n5dYkAMwmAyP6RLg4IhEROd2qThf8UbsLiohIA1S4EhGR02bLngyyC8oAGNSjA36/TRcREZH2o3O4H0F+ngD8cvA4tooKF0ckIiLuTIUrERE5bZZuOuo8PrN/lAsjERERVzEYfp8uWFxqZdfhbBdHJCIi7kyFKxEROS12H84mKaMQgN5dgwkL8nZxRCIi4iqaLigiIo2lwpWIiJwWX2484jw+e4BGW4mItGcdO/gSGuAFwI5DWVhtmi4oIiK1U+FKRERa3JG0fPYn5QLQNdKfzhH+rg1IRERcymAw0O+3UVel5TZ+PXjcxRGJiIi7UuFKRERa3FcbjjiPzx7Y0XWBiIiI2xhQZbrg5t3pLoxERETcmQpXIiLSojJyip2/pEeG+NAzOtDFEYmIiDuICPEhPNix3uHOQ1mUWWwujkhERNyRClciItKivtp4BLvdcXzWwCgMBoNrAxIREbdRuUh7ubWCLXsyXByNiIi4IxWuRESkxeQWljmnfwT7e9I/JrSBFiIi0p4M6t7Bebx+Z6oLIxEREXelwpWIiLSYbzcnYrU5hlud2T8Ko1GjrURE5HfBAV50i3Rs2HHgWC7Z+aUujkhERNyNClciItIiSsqsrNueAoCvl5mhvTo00EJERNqjQT3DALDbYYNGXYmIyAlUuBIRkRaxausxSssdC+2O7BeBh9nk4ohERMQd9esWgtnk+FqycVeai6MRERF3o8KViIg0u3KLjZVbkwDwNBsZ0SfCxRGJiIi78vI00adbMADpOSUcTs13bUAiIuJWVLgSEZFm993PxygssQBwRp8IfLzMLo5IRETc2aAev08n/+G3aeYiIiKgwpWIiDQzq62CFT85RluZTQbO7B/p4ohERMTdde8YiL+PBwBb9mZgq6hwcUQiIuIuVLgSEZFmtW57CnlF5QAMiwt3fhERERGpi9FoYGD3UACKSq38euC4iyMSERF3ocKViIg0m4oKO0t/PAo4voScNSDKxRGJiEhrMajn79MF12t3QRER+Y0KVyIi0mw27Ewlu6AMgCE9OxDo5+niiEREpLWIDPElKtQXgF2Hsykutbg4IhERcQcqXImISLOosNv55rfRVgYDnD2wo4sjEhGR1qZykXabzc6P8WkujkZERNyBClciItIstuxJJyO3BICB3TsQEuDl4ohERKS1GdA9FIPBcbx+h6YLioiIClciItJMvtxwxHl89kCtbSUiIk3n7+NBz+ggAI6mF5KcWejiiERExNVUuBIRkVO2bV8GqVnFAPSLCSE82MfFEYmISGs1tFeY83j1z8dcGImIiLgDFa5EROSULfnhsPP4nEFa20pERE5ery5B+Pt4ALBpdzoWa4WLIxIREVdS4UpERE7J1r0ZJB8vAqBPt2DnjlAiIiInw2Q0MuS3UVclZTZ+2pPu4ohERMSVzC39BOXl5XzwwQd88803JCQkANCxY0fGjx/PddddR1hYWAM91G/Xrl289957bNmyhezsbIKDg+nXrx/Tp09n3LhxDbYvKCjgvffeY+XKlSQmJmI2m+nSpQsTJkxgxowZ+Pv719l2//79XHbZZY2K85///CdTp05t9OsSEWkN7HY7i39IcP49dnAnF0YjIiJtxdBeYc7F2df8kqydakVE2rEWLVwdP36cG2+8kX379lV7/NChQxw6dIjPPvuM119/naFDh55U/x988AHPPPMMNpvN+VhmZiZr165l7dq1TJ48mWeeeQajsfaBZQkJCcyaNYuUlJRqj+/Zs4c9e/bw2Wef8c477xAbG1tr+z179pxU3CIibcXWvb+vbdW3WwiRGm0lIiLNICTAi+6dAklIySchJZ/UrCI6dvBzdVgiIuICLVa4slqt3H777c6i1VVXXcWll16Kh4cHa9eu5b333iMrK4vbbruNJUuWEBkZ2aT+16xZwz/+8Q8AoqOjmT17Nr169SI5OZk5c+YQHx/P4sWLiYiI4N57763RvrCwkJtvvpmUlBTMZjPXXXcd48aNw2q1smzZMj755BMSExO59dZbWbRoEX5+NW+Ue/fuBSA4OJh58+bVG2/HjvqVSETaFrvdzuL1v69tNXaIRluJiEjzGRYXRkJKPgCrf05mxgVxLo5IRERcocUKV5999hm//vorAPfffz833XST89wZZ5zBmWeeyc0330x2djavvPIKTz/9dKP7Li8vdxatOnXqxGeffUZoaCgAQ4YM4YILLuCWW25h48aNzJ07l6lTp9KlS5dqfbz99tskJSUB8H//939MnDjReW706NEMHjyYhx9+mCNHjvC///2P2267rUYclYWrvn370rdv30bHLyLSFvy0J520KjsJRoRoJ0EREWk+vbsE4+dtpqjUyqb4NKaN64nZpCV6RUTamxZ75//f//4HQLdu3bjxxhtrnD/77LOZPHkyAEuWLCEnJ6fRfa9atYrk5GQA7rrrLmfRqpKnpyf//Oc/MZvNWCwWPvjgg2rny8rKWLBgAQAjR46sVrSqdOWVV3LWWWcB8P7771ebjlipauFKRKQ9sdvtLNFoKxERaUEmk5HBPR3r4RaVWtm6N8PFEYmIiCu0SOHq0KFDzoXYL7nkEkwmU63XTZkyBXBMK1y9enWj+1+5ciXgKFBNmDCh1muio6MZNWpUtesrbd68mfx8x7DjSZMm1fk8lfHl5OSwZcuWaufS09PJzs4GoE+fPo2OXUSkLdi8O5307BIA+seGEh6s0VYiItL8hsX9vpHTml+SXRiJiIi4SosUrn755Rfn8ciRI+u8buDAgXh6egKOYlJT+x84cCDe3t51Xjds2DAAkpOTndMCmxLf8OHDnccnxlc52go04kpE2peKE0ZbjRmsNfxERKRlhAZ6E9MxAIADx/JIzy52cUQiInK6tdiIq0pdu3at8zoPDw/nouVV29SnuLiY1FTH1rjdunWr99qqz121/8pjs9lMdHR0ne07duyIh4dHrfFVFq68vLzw8PDgmWee4eKLL2bgwIGMGDGCa6+9lo8++gir1dqo1yUi0lps2JlKRo5jtNWA7hptJSIiLWt4XLjzWKOuRETanxYpXGVkOOafG41GoqKi6r22cjfB9PT0JvUNDe/UV3Wnwqr9V/YRERFR5zRGAIPBQERERI3nhd8LV3a7ncsuu4z//e9/HD58mPLycvLz89m2bRt///vfmTp1aqNfm4iIu7PaKvjiB8doK4MBxg7W2lYiItKyencNxtfLsafUhp2pWKwVLo5IREROpxbZVbBy/Shvb+96C0MAPj6OX+oLCgqa1DeAn59fo/o+sV3lcUPtq/ZRtT3Anj17AMcOh/7+/txwww2MHj0aPz8/9u/fz/vvv8+BAwfYvXs3f/7zn/nkk0+qxXO6BAbWPZVSWjfTb7vqmExGQkJ8XRyNtCX15dZX6xPILigDYGS/SGI7B5/u8KQVM/6WW0aTkcAA3Z+keSm/2rYzB0SxetsxikqtbD+cxQUj65950Zz0mUtakvJLWkpbyq0WKVyVl5cDONevqk/lGlWVbRrbNzim6TWm7xPbNSW+yueo2r6kpISjR48CjlFd77//PjExMc7zQ4YM4YorruCuu+5izZo17N+/n7feeot77rmnwedrbmZz/YVDaf0MBoP+PUuLODG3SsutfLb6IABmk4GLz4xt8McJkdoYMCh3pMUov9qmcwZH8/3Px6iww9frjzDhrO6nPQZ95pKWpPySltIWcqtFCleVHxYMBkOj2zT2WqPx99mNJ9v/qcbn7e3Nd999R1JSEuHh4dWKVpU8PT15/vnnGTduHAUFBXz88cfcddddp/2DlNVqO63PJ6ePyWTEYDBgt9ux2TRkXppPXbn1+eoD5Bc5ivhnD+pEgK8Zm03vMdJ4RpMRAwbs2KnQ+5Y0M+VX2xbo58GAHh3YcTCLxPQCftmXwcAeHU7Lc+szl7Qk5Ze0FFfmVnMXylqkcFU5Ja6srKzBa0tLS4GGR09V8vX9fYhbQ/1X9n1i/5XxNWaUV+VzVG1vMBjo1KkTnTrVv7ZLYGAgF154IZ9//jl5eXns3r2bgQMHNviczSk/v1RvgG1USIgvZrMJm62CnBztsCPNp7bcKi61sGStY5MKTw8jI3qHkV9QWl83IjUEBjiWEKiwVSh/pNkpv9q+Yb3C2HEwC4DPV++nc+jg0/K8+swlLUn5JS3FVbllMhkJDW14WaamaJHF2SvXjiorK6Oiov6iSUmJY2eqwMDAJvUNjh0GG9P3if1X9tFQ+5OJ70S9e/d2Hlfuhigi0tp8ueEIpeWO0VVnDYjC19vDxRGJiEh70yXCn6hQx4/YOw9lk5VX0kALERFpC1qkcFU5Eslms5GZmVnvtZU77lXu3teQyMhI53S7hnbrq3q+av+V8WVkZGC32+tsb7fbq+1AeDKqLshusVhOqg8REVfKLSh1bj/u621mVL/IBlqIiIg0P4PBwMi+js/kFXY7K7Ycc3FEIiJyOrRI4apnz57O46SkpDqvKy8vd45CqtqmPp6ennTp0gWAxMTEeq+ter5q/5XH5eXlpKWl1dk+NTXVWWw68TWtWrWKTz75hOzs7HpjqHo+NDS03mtFRNzR4h8OO7ce/8Ogjnh5tO7FHUVEpPUaEBuKr7djtZMNO1Mpt2itRRGRtq5FCleDB/8+33zbtm11Xrdz507nOlNDhw5tdP9DhgwBYMeOHfWOYqp87sjISKKjo5sc39atW53HVeNbvnw5t99+O4899hibNm2qN9aff/4ZcPxC1L9//3qvFRFxN2nZRWzY5SjwB/l5Mrx3uIsjEhGR9sxsNjI8znEvKi6zsmGnluIQEWnrWqRw1aVLF/r27QvAkiVL6lznavHixQCYzWbOO++8Rvd/wQUXAI41qpYvX17rNcnJyfz0008AjB8/vtq5ESNGEBISUi2G+uILDg5mxIgR1dpX+vLLL+tsn5CQwPr16wE4++yzT3qdLBERV1nw3UEqKhxTqscO6YTZ1CK3DRERkUYb3jsc4287fq/cqumCIiJtXYt9A5kxYwbgKN68/vrrNc5v3LjRWRiaMGEC4eGN/xV/zJgxzumCzz//fI21riwWC4899hhWqxWTyeSMpZLJZGLatGkArF+/nkWLFtV4jkWLFrFx40YApk+fjqenp/Pc4MGD6devHwBr1qxh6dKlNdrn5uZy7733YrPZMBgM3HbbbY1+fSIi7iA+IYsdhxy7N0WF+jDoNG07LiIiUp9AP0/6xjh+hE7LLmb34fqX7hARkdbNYK9vdfJTUFFRwfTp09m+fTsAEydOZMqUKfj4+LBu3Trmzp2LxWIhODiYL774gqioqGrtq+7Gt2/fvhr9r1mzhltvvRWA8PBwZs+eTf/+/UlJSWHOnDns2rULgD//+c888MADNdoXFxdz6aWXkpycjMFgYPr06Vx88cUAfPvttyxYsAC73U7Xrl1ZvHgx/v7+1dpv376dP/7xj5SXl2M0Gpk2bRoXXXQR3t7e7Nq1i//+97/O9bNuueUW7r333pP9R3lKsrOLsNnq39lRWqfK7U2tVpu2zpVmFRLii8lk5O5/f8/hlHwA/nhhHN07adSonJrAAG9MJhM2m438glJXhyNtjPKrfUnKKOS9pXsB6BcTwv3TG7/sSFPpM5e0JOWXtBRX5ZbJZCQ01K9Z+2yxwhXA8ePHmTlzJvv376/1fHBwMG+++SbDhg2rca6hwhXA/PnzefbZZ7HZal+U8bLLLuNf//oXZrO51vMJCQnceOONzgXiT9SpUyfmzJlD9+7daz2/bt067rvvPvLz82s9bzQamTVrFvfff3+t508HFa7aLt3kpKWEhPjyw68p/Ptjxxp9PTsHce34Xi6OStoCFRakJSm/2he73c7cb/aSfLwIgL/fOIIuEQEt8lz6zCUtSfklLUWFqyYoLy/no48+4ptvvuHw4cOUlpYSHR3N2LFjmTVrFpGRtW+r3pjCFcDu3buZN28emzdvJisrC19fX/r378+0adOcI6jqU1hYyLx581ixYgVJSUnYbDa6devG+PHjufHGGwkIqP8GePz4cebPn8/atWs5evQoNpuN8PBwRo0axfTp0xk0aFCDMbQkFa7aLt3kpKX4B3gx+/k1ZOWVYjDALZf3JyLEx9VhSRugwoK0JOVX+7P3aA6frDkEwBm9w7lt8sAWeR595pKWpPySlqLClbQaKly1XbrJSUv57pdkPlzu+MFgWFwYl54V49qApM1QYUFakvKr/bHb7by5JJ7jeaUYDQaeveVMwoOb/4cWfeaSlqT8kpbSlgpX2h5KREScCkssLPre8eu1l4eJc4dEuzgiERGR2hkMBs4e6Fgnt8Ju55sfj7g2IBERaREqXImIiNOitYcoKbMCcN7waPx9PVwckYiISN0GxIYS6OfY/XvjrnTyi8tdHJGIiDQ3Fa5ERASA5MxC1u1wbFYR5OfJGI22EhERN2cyGRnd37FmrtVWwbebE10ckYiINDcVrkREBID5K/ZTUeFY9vCSs2Px9DC5OCIREZGGDe0Vho+X4571/S/JzpHDIiLSNqhwJSIibNmbzv6kXAC6RQUwvG/tO76KiIi4G08PEyN/u2+Vltv4btsxF0ckIiLNSYUrEZF2zmKtYOF3B51/XzGmO0aDwYURiYiINM2IPhF4mB1fbVZuTcKqXbVFRNoMFa5ERNq5r388QnZBGeCYbtElMsDFEYmIiDSNr7eZYXHhABQUW1j7a7KLIxIRkeaiwpWISDuWlVfiXMjWy8PEuGFakF1ERFqn0f0jMRodI4a/3ngUi1WjrkRE2gIVrkRE2rGPVh1wfrAfO6QTfj4eLo5IRETk5AT6eTI8LgyAvKJyVmutKxGRNkGFKxGRdmrv0Rx+OXAcgLAgb0b0DXdxRCIiIqfmnEEdMZsco66+2XSUcovNxRGJiMipUuFKRKQdslVU8P7yfc6/LxrVBZNRtwQREWndAnw9OaNPBACFJRaW/5Tk4ohERORU6VuKiEg7tPTHRNKyiwHo0zWYHp2CXByRiIhI8zh7YJRzh8HlWxIpLbe6OCIRETkVKlyJiLQzmbklfP3jEQA8zUYuHtXVtQGJiIg0Iz9vD0b1iwSguNTKsk1HXRyRiIicChWuRETamfe/3etckP3coZ0I9PN0cUQiIiLNa3T/SLw8TACs3HqM4lKLiyMSEZGTpcKViEg7smVPOvFHcgCICvVhZN9IF0ckIiLS/Hy8zIwe4LjHlZbb+HrjEdcGJCIiJ02FKxGRdqK03MpHqw44/75kdDeMRoMLIxIREWk5o/pF4uNlBmD1z8nkF5e7OCIRETkZKlyJiLQTn645RF6R40P7GX3CiQ73d3FEIiIiLcfLw8TZA6MAKLdW8Pn3h1wckYiInAwVrkRE2oEjafl8/2syAP4+HowbFu3iiERERFreiD7hzrUc1+9MJSmj0MURiYhIU6lwJSLSxtkqKpjz9R7sdsffF47ogren2bVBiYiInAYeZhPnD3f8WGO3w0er9rs4IhERaSoVrkRE2rivNhwh+XgRAD2iA+kfG+LiiERERE6fAbGhRIf7AbAvMZdfD2S6OCIREWkKFa5ERNqw5MxCvtl0FABPDyOXnhWDwaAF2UVEpP0wGAxcNKKL8++PvzuAraLChRGJiEhTqHAlItJGVdjtvPvVbmw2xxzBC87oQtBv63yIiIi0J50j/BnYPRSAzNxSVmxJcnFEIiLSWCpciYi0Ucs2HSXxt0VoYzoGMCwuzMURiYiIuM644Z0xmxxff77eeITCEouLIxIRkcZQ4UpEpA1Kyy7ii/VHAPAwG7lMUwRFRKSdC/Lz5KwBkQCUlNn4fO0hF0ckIiKNocKViEgbY7fb+e/Xe7DaHOt3jBsWTUiAl4ujEhERcb2zBkQR4OsBwA/bU0n6bWSyiIi4LxWuRETamG9/SiQhJR+ALhH+jOwb4eKIRERE3IOnh4nzh3cGHGtBzl26B7vd7uKoRESkPipciYi0IcmZhSxelwCA2WTg8rM1RVBERKSqgd1D6RYVAMDRtAJWbT3m4ohERKQ+KlyJiLQRVlsFb34Rj/W3XQTHn9GZDkHeLo5KRETEvRgMBi49qxsmo+OHnUXrEsjOL3VxVCIiUhcVrkRE2ojPvj9EyvEiALp3CmREH00RFBERqU2HQG/GDOkEQJnFxv++3eviiEREpC4qXImItAF7j+awcmsSAD5eJiadoymCIiIi9TmrfyQRwT4A7EzIZsuedBdHJCIitVHhSkSklSsps/LuV7upXFv2ktHdCPD1dG1QIiIibs5kMnLpWd2cf3+wcj8lZVYXRiQiIrVR4UpEpJX737d7ySksA2BQjw70iwl1cUQiIiKtQ+cIf+fU+oJiCx+vOuDiiERE5EQqXImItGKb4tP4aU8GAEF+nlw8qouLIxIREWldxg2PJtDXA4D1O1PZmXDcxRGJiEhVKlyJiLRS6dnF/O/bfc6/r/hDLN6eZhdGJCIi0vp4eZiYOPr3KYP//XoPhSUWF0YkIiJVqXAlItIKWW0VvLZ4J2UWGwBjBnekW1SAi6MSERFpneK6BDM8LhxwTBn879e7XRyRiIhUUuFKRKQV+nDlfpIziwDoFhXAmMGdXByRiIhI63bBiM50CPQGYMehLNb8fMzFEYmICKhwJSLS6mzZm87aX1MA8PU2M2VMLEajwcVRiYiItG6eHiamjP39nrpg9UFSs4pcHJWIiKhwJSLSimTmljBv6V7n35P/EEuAr6cLIxIREWk7OnbwY9ywaAAs1greXLILq63CxVGJiLRvKlyJiLQSVlsFry/eSUm5Y12rswdG0SM6yMVRiYiItC2j+0cS09GxbuSxzCLeX7rHxRGJiLRvKlyJiLQS85fvIzG9EIAuEf6cNzTaxRGJiIi0PQaDgSvOicXb0wTA1+sPs2FHioujEhFpv1S4EhFpBb7/JZkfdqQCv61rNba71rUSERFpIYF+nkw6JwYAO/DSxz+TmJbv0phERNorFa5ERNxcQkoeH67aD4DBAFeN7U6Qn9a1EhERaUm9u4bwh8EdASgrt/H0vC0Ul1pcHJWISPujwpWIiBvLLy7n1c93YrPZAbjgjC7EdAx0cVQiIiLtw7lDOtE/NhSAjJwSXl20kwq73cVRiYi0LypciYi4qYoKO69+voO8onIABnQPZVS/CBdHJSIi0n4YDAauuTCOiBBfAPYl5rJg1QEXRyUi0r6ocCUi4qY+WrWfQ8mO9TQiQ3y47KxuGAxa10pEROR08vY0M+vy/s7F2ldtO8bGXakujkpEpP1Q4UpExA2t+eUYq39OBsDb08TV43riYTa5OCoREZH2KSLElxkX9Xb+/d6yvew6nOXCiERE2g8VrkRE3Mzuw9l8uNIxDcFggCvHdickwMvFUYmIiLRvfWNCGX9GZwBsNjuvL9pJQkqei6MSEWn7VLgSEXEjqVlFvL54JxUVjoVfLx7ZlR7RQS6OSkRERABG949kVL9IAMosFfz7k+2kHC90cVQiIm2bClciIm6isMTCvxdup6TcBsDIvhGM6KvF2EVERNyFwWDgwhGdGdyjAwDFpVb+7+NfycorcXFkIiJtlwpXIiJuwGqr4D+fbicrvxSAntGBXDiii4ujEhERkRMZDAYuOzuGuC7BAOQVlfP8R7+QX1zu2sBERNooFa5ERNzAf7/eTUKKYwfBiBAfrhzbA6NROwiKiIi4I6PRwFVju9Mt0h+AzLxS/vXBz+QWlLo4MhGRtkeFKxERF1vw3QF+2pMBgJ+3mWvO74mXp3YQFBERcWdms5Hp5/eiYwdfANKyi3l6/s9k5ha7ODIRkbZFhSsRERdatvkoK7YkAeBhNjL9/J4E+WsHQRERkdbAy9PEHy+MIzrMD4Cs/FKefn8byZlasF1EpLmocCUi4iIbd6Xy6ZpDABgNBqae24PocH8XRyUiIiJN4eNl5k8XxRHbMQCA/GILz37wMwkpeS6OTESkbVDhSkTEBXYmHOe9pXudf19+Tgw9Owe5MCIRERE5WZ4eJq45vxe9uwYDUFxm5f8+/oWdCcddG5iISBugwpWIyGmWkJLH64t2YauwA3DBiM4M+m1bbREREWmdzGYjU8/t4bynl1kq+M+nO/jmxyOuDUxEpJVT4UpE5DRKzCjg3wu3U26tAGD0gEhG949ycVQiIiLSHIxGA5POieHM/pEA2O3w+doEXl+8kzKLzcXRiYi0TipciYicJinHC/m/j36huMwKwKAeHRg/vLOLoxIREZHmZDAYuHBEFyadE4PJaABg275Mnpq3RTsOioicBBWuREROg7TsIp776BeKSh1Fq34xIVx+dgwGg8HFkYmIiEhLGNwzjJkT+xDo5wlAalYxf39vKz/vz3BxZCIirYsKVyIiLSwzt5jnPvyFgmILAL27BDN5TCxGo4pWIiIibVmnMD9uurQv3SIduwYXl1l5bdEu3vpiF8W//ZglIiL1U+FKRKQFZeWV8K8PfyGvqByAntGBXHlud0xGvf2KiIi0B34+HvzxojjnulcAP+3J4JF3N7H9kHYdFBFpiL45iYi0kIycYp754GdyCsoAiO0YwNTzemI26a1XRESkPTEZjVw4ogt/uiiOYH/H1MG8onJe/nQH//16t0ZfiYjUQ9+eRERaQFpWEc9WKVp1jfRn2rieeJj1tisiItJexXYM5JZJ/RkeF+58bOOuNB58ayMrfkrEVlHhwuhERNyTvkGJiDSzpIxCnvngZ+f0wNiOAVw7vheeHiYXRyYiIiKu5uVh4pKzujHjgl4E+noAUFxqZcHqgzzyzmZ+OZDp4ghFRNyLClciIs3oSFo+z334M4UljoXYe3UO4przVbQSERGR6npEBzF78gDOGdQRs8mxYUtGbgmvfr6Tf334M/uTcl0boIiImzC7OgARkbZif1Iu//l0O6XlNgD6dgthyphYTFrTSkRERGrh5WFi3LBohseFsfrnZHYmZAOOzxT/+vBnYqMCuPTsGIb2Cm+gJxGRtkuFKxGRZrB1XwbvfLkbq82xNsXA7qFMOicWo9Hg4shERETE3QX5ezF5THdG9o1gxZZjJGUUAnA4rYBXP99JVKgvE0Z15cz+UVovU0TaHRWuRERO0Xfbkvho1QHsdsffw+PCmTi6KwaDilYiIiLSeNHh/twwoTdH0wrYsCuNQ8n5AKRlF/Pesr0sWH2AEX0iOHdoNDFRgS6OVkTk9FDhSkTkFHz2/UGWbkp0/j12SCfGDO6oopWIiIicFIPBQEzHQGI6BpKWVczGXWnEH8nGboeSMhvrtqeybnsqncL8+MPAjozoG0FooLerwxYRaTEqXImInISKCjtzl+5h4640AAwGuGR0N4bFaQ0KERERaR5RHXyZMrY75w2L5tcDx9l+8Dj5xY4NYFKOF7FwzUEWrjlIlwh/hseFM6JvBB07+Lk4ahGR5qXClYhIExWXWnl10Q72JeYCYDYZuHJsD3p3DXZpXCIiItI2hQR4cd6waMYO6URCSj6/HjzO3sRcKioc6xQkZRSSlFHIkvWHCQ/ypk9MCANiQ+kfE4qvt4eLoxcROTUqXImINEF6djEvfbKdjNwSALw9TVwzvhddIvxdHJmIiIi0dUajgZ6dg+jZOYjiUiv7k3LZm5jDoeR8bL8VsTLzSsncnsoP21MxGKBzuD99uobQq3MQcV2CCfTzdPGrEBFpGhWuREQaafeRbN5YvIviMisAHQK9mD6+Fx20roSIiIicZr7eZob0CmNIrzDKLTYOJuexNzGXhJR8iksdn1Xs9t9HY63cmgRAaKAX3TsG0iM6iO4dA+kaFYCXh8mVL0VEpF4qXImINMKan4/x4aoDziH5sR0DuOrcHvh46W1UREREXMvTw0S/mFD6xYRit9vJyCkhITWfw6kFHE0rwGKtcF6bnV9Gdn4mW/dlAo51OiOCfegaGUC3qAC6RvoTExWIv4+mGIqIe9A3LhGRelhtFfxv2V42/LYIO8CIPuFcNLIrRqN2DhQRERH3YjAYiAz1JTLUl9H9o7BVVJCeXcKxzCKOZRRyLLOQ3MJy5/V2O6TnlJCeU8KWvRnOxwN8PYgO86dzuB9dIwPoEulPdJgfZpPRFS9LRNoxFa5EROqQlVfCK5/vJCmjEHD8InnxyK6M6Bvh4shEREREGsdkNNIpzI9OYX6M/O0zTGGxhZSsIlKziknNKiYtq8i5W2GlgmILexNz2JuY43zMaDQQHuxN53B/uoT70zXKn64RAYRq2QQRaUEqXImI1GLX4Sze+iLeuUaEn7eZK8d2J6ZjoIsjExERETk1/r4exPkGE9cl2PlYUYnFMfIqu9j5/5l5pc5lEgAqKuykZ5eQnl3Ctt+mGgL4epnpFOb323RDx1TD6DA/jU4XkWahwpWISBV2u50vNhzmqw1HsP/2Oa1zhB9Xje2hXXhERESkzfLz8aC7jwfdO/3+I53NVsHx/FIyckrI+G06YUZ2cY3RWcVlVg4m53EwOc/5mNlkJDrMl5iOgcRGBRLbKZDocD+MBhWzRKRpVLgSEflNbkEpb325m/1Juc7HRvaN4IIzOmPSeg4iIiLSzphMRiJDfIkM8a32eEmZ9bdCVrFjBFZOMRk5JVhtv4/OstoqOJpeyNH0QtaSAoCXh5HOEf706BREz85B9IwOItjf67S+JhFpfVS4EhEBfj2YyZyv91D029RAD7ORS8/qxsDuHVwcmYiIiIh78fEy0y3KsQthpYoKO8fzSknPLiY1u5i039bPKrPYnNeUWSo4lJzPoeR8VmxJAiA0wIuenYPo3SWY3l2D6RTmf9pfj4i4NxWuRKRds9oq+HjVAdb8kux8LCrUhyljexAWpIVGRURERBrDaDQQEeJDRIgPA3s4fviz2+1k55eRklVEyvEiko8XkXq8GFuVdbOyC8r4aU8GP+1x7Gjo522mR3QQfbuF0C8mlC4RKmSJtHcqXIlIu5WUUcDbX+4m5XiR87FRfSM4/4zO2upZRERE5BQZDAY6BHnTIcjbOYrdZqsgLaeE5MwijmUUkpRRSF5RubNNUamVHYey2HEoC3AUsnp2DmZAbAgDu3cg4oRpiyLS9qlwJSLtTkWFna83HuGrjUecv/j5epm5/JyYarvriIiIiEjzMpmMRIf5ER3mx8i+EQDkFZaRmFFIUnohR9MLyMwtdV5fVGpl+8HjbD94HDhAaIAXfbo5ilgDu3fA11tfaUXaOv1XLiLtSmpWEW9/GU9ieqHzsR6dArn8nBgCfLVroIiIiMjpFuTvxUB/L+eorKISC0fTCziSVsCR1AKO5/1eyMouKGPjrjQ27krDaDDQNdKfgd1DGdwrnNioAAzatVCkzVHhSkTahQq7nW83J7Lkh8NYbRUAeJqNXDiyC0N7helDjoiIiIib8PPxoF9MKP1iQgEoKC7ncGoBCSn5HE7Np6DYAjg+3x1JcxS4vtp4FH8fD/rFhDC0VxiDeoTh46WvuyJtgf5LFpE272h6AXO/3k1S5u9rWXWL9Ofyc2IJCdAWzCIiIiLuLMDXk0E9OjCoRwfsdsfuhYeS8ziYnM/RtALn0g+FJRbnQu9Go4HuHQMZ0iuM4XHhRIZqbSyR1kqFKxFps8otNj5fm8B3245RYXd8oDGbjIwbFs2ofhEaZSUiIiLSyhgMBsKDfQgP9uHM/lFYrDaOpBVw8Fg+B5PzyCkoAxxrmh5MzuNgch6ffX+IiGAfBvcMY3jvcHp2DsKoz4EirYYKVyLSJu1MOM7/vt1Hdn6Z87HunQK5ZHQ3jbISERERaSM8zCZ6dQ6mV+dg7HY7WXml7D+Wx4FjeSSlFzp/vMzILWHl1iRWbk3C38eDgd07cEafcAbEdsDDrN2kRdyZClci0qZk5pbwwYp97EzIdj7m62XmopFdGNA9VKOsRERERNoog8FAWLAPYcE+nDUgitIyKweT89mflMuBY3mUWWyAY0rhj/Fp/BifhqfZSN+YUM7oHc6wuHCtiyXihvRfpYi0CRZrBV9tPMy3m5Oci68DDOrRgQtHdMbX28OF0YmIiIjI6ebtZWZA91AGdA/FVlFBYnoh+xJz2ZeYS15ROQDl1gq2HzzO9oPHmbdsL706B3FGnwjO6BNBoHacFnELKlyJSKu3ZW86C1cfrDYtMDLEh4vP7Eq3yAAXRiYiIiIi7sBkNBLbMZDYjoFcNLIL6dkl7E3MYV9iLuk5JQDYKuzsTcxlb2IuH67cT2zHQEb0jmBE3whCA71d/ApE2i8VrkSk1UpIzeejlftJSMl3PublYeK8YZ04o3cERqOmBYqIiIhIdQaDgagOvkR18OXcodHkFJSxNzGHvUdzScooBMBuh4SUfBJS8lm45iBdI/05o3cEI/tGEBGiHQpFTicVrkSk1cnKK2HB6oNs25dZ7fEhPTtw/vDO+PloWqCIiIiINE5IgBej+0cxun8UBcXl7Ptt1NXh1Hx+W9udxPRCEtMLWbQugegwP0b0iWBkvwiiQv1cG7xIO6DClYi0GoUlFr5cf5jvf02pto5VTFQAF4zoTMcO+uAgIiIiIicvwNfTucZVSZmVfYm57DmaQ0JKPrYKRxUr+XgRyesPs2T9YTp28OWMPhGc2S9Sn0VFWogKVyLi9krLrSzbdJSVW49RWm5zPt4h0JvxIzoT1zlIuwWKiIiISLPy8TIzpFcYQ3qFUVZu48CxXHYfyeFgch5Wm6OIlZpVzFcbjvDVhiNEdfBlhIpYIs1OhSsRcVsWawWrtiWx9MejFJVanY/7eZsZM7gTw3qHYTIaXRihiIiIiLQHXp4mBnTvwIDuHSi32DhwLI/dR3I4cCzPORMgrZYi1uh+kUSpiCVySlS4EhG3Y7HaWLXtGN9uTqSg2OJ83MvDxFkDoxjVNwJPD5MLIxQRERGR9srTw0T/2FD6x4ZSbrFxMPn3IpbFWrOI1bGyiNU/ishQLewu0lQqXImI2yi3OApWy3+qXrAym4yM6hfBWQOi8PHS25aIiIiIuAdPDxP9YkLpFxOKxVp9JFZlESs1q5gvNxzhyw1H6BTmx8g+EZzZP1K7E4o0kr4BiojLFZdaWbU1iVXbjlFYUr1gNbx3OGcNiCTA19OFEYqIiIiI1M/D/HsRq+pIrP1Jv08nTDlexJLfFnbvEu7HmGGdGXdGF0IDvV0cvYj7UuFKRFwmt7CMZZsSWbc9hTLL74uum01GzugTzlkDovD38XBhhCIiIiIiTVd1JFb1NbFynQu7J2UW8eHyfXy0fB+x0YEMjwtnVN9IFbFETqDClYicdqnHi1i66Sib96Q7b9wAnmYjw/uEc1b/KPxUsBIRERGRNqDqmlhlFhsHknKJP+zYndBWYccOJCTnk5Ccz6drDhHbMZCRfSMY1S+SYH8vV4cv4nIqXInIabPrcBbfbkpk99Gcao/7epsZ1S+SM3qHaw0rEREREWmzvDx+352wtNxKUmYx2w8eZ9/RHGwVjh90D6fmczg1n0/WHKR7p0BG9Y1kZL9IArV0hrRT+oYoIi3KYrWxcVcaK7YkkZpVXO1csL8nowdEMaRnGB5mo4siFBERERE5/bw9zQzvE8HI/h0pKCpj6+404o9kczilgAq7HbsdDiXncyg5n4+/O0DP6CBG9YtkZN9ILach7YoKVyLSIjJzi1m55Rgbd6VRXGatdq5zhB+j+0XRu2swRqPBRRGKiIiIiLgHX28zQ3qFMaRXGMWlVvYm5hB/OJsjaQXY7WC3w4FjeRw4lsdHKw/Qq0sQo/pGMKJvJH7eKmJJ26bClYg0mwq7nZ2HjrNq6zF2H83B/vvyVRgM0LdbCGf2i6RzhL/rghQRERERcWO+3maGxYUzLC6cohILe47mEH8kh6NpBYDjM/e+xFz2JebywcoDxHUOYmTfSEb0jVARS9okFa5E5JRl55fy/a/JrN+RSm5hebVzjhtvGMPjwgnS4pIiIiIiIo3m5+PBGX0iOKNPBAXF5ew5msPuIzkkphcCUFFhZ29iLnsTc/lg5X56dQ5iZN8IRvTRdEJpO1S4EpGTYrVV8OuB43z/azJ7ThhdBRAd7sfIPhH0jQnBbNL6VSIiIiIipyLA15ORfR1rXFUWseIP55CU8XsRq3Ik1ocrDtCzcxAj+oQzvHeEdieUVk2FKxFpkiNp+az9NYWtezMoKq2+dpWXh4mB3UMZGhdOxw6+LopQRERERKRtq1rEyi/6fSSWs4hlt7M/KZf9Sbl8tOoAsR0DGd47nJF9IugQ5OPi6EWaRoUrEWlQVl4JG3el8ePudNJO2BkQHKOrhseF0y8mBE8PkwsiFBERERFpnwL9PBnVL5JR/SpHYuWy+0i2czqh3Q4JKfkkpOTz6ZpDRIf7MSzOUcSKDtfas+L+VLgSkVoVllj4cVcam3anczg1v8Z5fx8PBvXowOCeHQgP1q82IiIiIiKu5hiJFcHIvhEUlljYl5jLnqM5HEktoOK3tT2SM4tIziziqw1HCAvyZnBPx3q0cV2047e4JxWuRMQpv7icLXvS2bI3k4PH8pw3t0pmk4HeXYIZ3DOM7p0CdWMTEREREXFT/j4eDO8dzvDe4ZSUWdmf5FjE/VByPlZbBQDH80r5btsxvtt2DF8vM/1iQxgeF8GgHh3w8VK5QNyDMlGkncvKK2Hbvky27M0gITW/xiLrBgN07xTIgNhQ+nQNwctTUwFFRERERFoTHy8zg3uGMbhnGBarjUPJ+exNdKyBVVpuA6C4zMrWvZls3ZuJ0WggtmMAg3uEMbRXmKYUikupcCXSztjtdhJS8/l5Xya/HjxOai1rVgF0i/SnX0wo/WJC8NNWuiIiIiIibYKH2USfbiH06RZCRYWdpIxC9v22kHt2fhng2KHwUHI+h5LzWbQugRB/L/rGhDCoRwcGxHbA11ulBDl9WjTbysvL+eCDD/jmm29ISEgAoGPHjowfP57rrruOsLCwU+p/165dvPfee2zZsoXs7GyCg4Pp168f06dPZ9y4cQ22Lygo4L333mPlypUkJiZiNpvp0qULEyZMYMaMGfj7N1xVXr58OQsXLiQ+Pp7i4mLCw8MZNWoU119/PX369Dml1yfSXApLLOw4dJwdh7LYczSHgmJLjWsMBoiJCqBvtxD6dA3B31fFKhERERGRtsxoNNAtKoBuUQFcOKILx3NL2H8sj4PH8khML3QuHZJTWMbGXWls3JWGwQBdI/zpHxvKgNgO9OwchNlkdPErkbbMYLefODGoeRw/fpwbb7yRffv21Xq+Q4cOvP766wwdOvSk+v/ggw945plnsNlstZ6fPHkyzzzzDEZj7f8BJSQkMGvWLFJSUmo937VrV9555x1iY2NrPW+1WvnrX//KV199Vet5Dw8PHnnkEa655ppGvJqWk51dhO23+cvStoSE+GI2m7BabeTkVB81VW6xsf9YLrsPZxN/OJtjx4tqTAEE8DQb6REdRFyXIHp1DsLXW8UqgcAAb0wmEzabjfyCUleHI22IcktakvJLWopyS1qSO+dXWbmNhJR8DhzL5VBKfq0/fgN4mI2OH8BjQugfE0psx0AVstxAfd8XW5LJZCQ01K9Z+2yRwpXVamXGjBn8+uuvAFx11VVceumleHh4sHbtWt577z0sFguhoaEsWbKEyMjIJvW/Zs0abr31VgCio6OZPXs2vXr1Ijk5mTlz5hAfHw/ALbfcwr333lujfWFhIVdccQVJSUmYzWauu+46xo0bh9VqZdmyZXzyySfY7XZiYmJYtGgRfn41/6E/99xzzJ07F4CRI0c6R5DFx8fz1ltvkZmZidFo5O2332bMmDFNen3NSYWrtqvqG1FaRgGHkvPYfSSHvYk5HE0vwGar/T/tkAAvekYH0qtLMDFRAbqpSA3u/AFKWjfllrQk5Ze0FOWWtKTWkl92u53M3FISUvI4lJLP0bRC5wLvJ/IwG+ka6U9c52D6dAsmrrPWyXUFFa4asGDBAp544gkA7r//fm666aZq5zds2MDNN9+M1Wrlqquu4umnn2503+Xl5Vx88cUkJyfTqVMnPv/8c0JDQ6udv+WWW9i4cSMeHh4sW7aMLl26VOvjxRdf5J133gHgpZdeYuLEidXOf/755zz88MMA3H333dx2223Vzh88eJDLL78cm83GeeedxxtvvFFtZFdaWhpXX3016enpxMbG8s0332AyueY/VBWu2qasvBJSc0vZczSHPYezSEwrrLEDYKXKX0B6RAfRMzqQ0EDv0xyttDat5QOUtD7KLWlJyi9pKcotaUmtNb+s1gqOZRZyOK2AI6kFJGcW1fl9xGCAyFBfuncMdPyA3jmYjmF+GA3aobwlqXDVgAkTJpCQkEC3bt1YtmxZrUWbRx99lE8//RSz2cz69esJCQlpVN9Lly7lnnvuAeBf//oXkydPrnFNcnIyF154IVarlRtuuIG//e1vznNlZWWcc8455OfnM3LkSObPn1/r88ycOZONGzcSEhLChg0bqr2GJ554ggULFmAymfj222/p2rVrjfZffvklDzzwAABvvPEG559/fqNeX3NT4ar1yy0o5Wh6AYdS8klIyScxvZDCktqH6QKYjAY6R/gTExVATMcAosP8NKpKmqS1foAS96fckpak/JKWotySltRW8qvcYiMxvZCj6QUkpheScrwIW0XdpQYvDyOdOvjRLSqAmI6BxHYMpFOYL6Y6lvqRpmtLhatmX5z90KFDzoXYL7nkkjpHGk2ZMoVPP/0Uq9XK6tWrufLKKxvV/8qVKwHw9PRkwoQJtV4THR3NqFGj2LBhAytXrqxWuNq8eTP5+fkATJo0qc7nmTJlChs3biQnJ4ctW7Zw5plnOs999913AAwdOrTWohU4inePP/44JSUlrFixwmWFK2k9yiw2Uo4XcSyzkMT0QpIyCknOLKSo1FpvO29PE9FhfnSJ9KdLhD+dw/3xMOsNX0RERERETg9PDxM9OwfRs3MQ4BiRlZJVRGJ6Iccyi2p8rymzVHA4rYDDaQXwq2PdaZPJQESwD9HhfnQJD6BrpB+dwvwJC/LGoNFZ7VqzF65++eUX5/HIkSPrvG7gwIF4enpSXl7O5s2bG124qux/4MCBeHvXPeVp2LBhbNiwgeTkZJKSkpzTBRsb3/Dhw53HmzdvdhaukpKSyMzMBGDEiBF1tvfw8GDQoEFs3ryZzZs3N+KVSXtQUWHneF4JadnFpGUXk55dQmpWEWnZxeQWljfY3mCA8GAfOoX50T06iB7RwYQHe1NYVHYaohcREREREWmY2Wyka2QAXSMDAMcaWbmF5ST/VsRKyXJ8H7JYf58dZLPZSc0qJjWrmK17M52Pe5iNhAV5ExXqS8cOfkSG+hAV4ktkqC+Bfp6n/bXJ6dciI64q1TUaCRyFnY4dO3L06NFqbepTXFxMamoqAN26dav32qrPfejQIWfhqvK5zGYz0dHRdbbv2LEjHh4eWCyWavFVPW5MDJs3byY1NZXi4mJ8fX3rvV5av5IyKzkFpeQWlHM8r5TMvBKy8krJyi8lO7+MnMIyKuoZMlsbg4Hf3qR9iQr1dY6m8jQbSc4sJCk9n5LSuqcOijSVj7cHRqORiooK5ZY0K+WWtCTll7QU5Za0pPaYX1EdfInq4IvdDln5paRmFZOWVUxxWe0zTSzWCmdB65cDx6ud8/IwEhLoTWiAFx2CvAkL9Hb8f5APwf6ehAR4azZKG9DshauMjAwAjEYjUVFR9V4bGRnJ0aNHSU9Pb1Lf4CgsNdR3par9V/YRERFR74LpBoOBiIgIkpOTqz3vqcQQGxtb7/UtwWQyAPoP9WSVW2wUl1koKrVSXGaluNTxv4JiC0WlFopKHP9fWOI4tljrLkr5+Xjg5+Nx0rEczyvjeJ5GVomIiIiISNsSFuxzSu0LS6wUlhRyNK2wxjkvTyP+3h74+Xrg5+2Bv7cZPx8PAnw88PH2wM/LjI+PGV9PM34+Zswu2litJZlO45rHjhpE82r2wlXl+lHe3t4N7qTn4+NIzoKCgib1DeDnV/9iX5V9n9iu8rih9lX7qNo+Ly/vpGJo7GtsbkFBGuUlIiIiIiIi0h6ZzaZmXyz9dGv2slt5uWOdHk/PhueaVq5RVdmmsX0DeHl5NarvE9s1Jb7K56it/anEICIiIiIiIiIiDWv2wlXlKKumrPrf2GuNVbbGPNn+TzW+qqPItLOBiIiIiIiIiEjLafbCVeX0uLKyhtfiKS0tBRoeuVSp6uLmDfVf2feJ/VfG15gRUJXPUVv7U4lBREREREREREQa1uyFq8p1n8rKyqioqKj32pKSEgACAwOb1Dc4dhhsTN8n9l/ZR0Pt64qvagxVn6OhGIKCghp8PhERERERERER+V2zF646deoEgM1mIzMzs95rK3f7i4iIaFTfkZGRzql6De1EWPV81f4r48vIyMBur3sHOLvdXm0HwkrR0dHO47S0tEbFYDAYCA8Pr/daERERERERERGprtkLVz179nQeJyUl1XldeXk5qampNdrUx9PTky5dugCQmJhY77VVz1ftv/K4vLy83sJTamoqFoulRvsePXrU+hz1xdCpU6dqUwxFRERERERERKRhzV64Gjx4sPN427ZtdV63c+dO5zpTQ4cObXT/Q4YMAWDHjh3OwlJtKp87MjKy2iipxsa3detW53HV+CIiIpyjtn7++ec621ssFnbs2FGjvYiIiIiIiIiINE6zF666dOlC3759AViyZEmd61wtXrwYALPZzHnnndfo/i+44ALAsUbV8uXLa70mOTmZn376CYDx48dXOzdixAhCQkKqxVBffMHBwYwYMaLWGDZv3kxKSkqt7ZctW+Zc46ryehERERERERERabxmL1wBzJgxA4CEhARef/31Guc3btzoLAxNmDChSes/jRkzxjld8Pnnn6+x1pXFYuGxxx7DarViMpmcsVQymUxMmzYNgPXr17No0aIaz7Fo0SI2btwIwPTp0/H09Kx2ftq0aZjNZiwWC48++miNkV/p6em88MILgGNNrPPPP7/Rr09ERERERERERBwM9vpWKD9JFRUVTJ8+ne3btwMwceJEpkyZgo+PD+vWrWPu3LlYLBaCg4P54osviIqKqta+d+/ezuN9+/bV6H/NmjXceuutAISHhzN79mz69+9PSkoKc+bMYdeuXQD8+c9/5oEHHqjRvri4mEsvvZTk5GQMBgPTp0/n4osvBuDbb79lwYIF2O12unbtyuLFi/H396/Rx3PPPcfcuXMBGDBgALNmzaJTp07Ex8fz5ptvkpmZicFg4O2332bs2LEn849RRERERERERKRda5HCFcDx48eZOXMm+/fvr/V8cHAwb775JsOGDatxrqHCFcD8+fN59tlnsdlstZ6/7LLL+Ne//oXZbK71fEJCAjfeeKNzgfgTderUiTlz5tC9e/daz9tsNh588EG+/vrrWs+bTCYeeeSRGiO+RERERERERESkcVqscAWOnfs++ugjvvnmGw4fPkxpaSnR0dGMHTuWWbNmERkZWWu7xhSuAHbv3s28efPYvHkzWVlZ+Pr60r9/f6ZNm+YcQVWfwsJC5s2bx4oVK0hKSsJms9GtWzfGjx/PjTfeSEBAQIN9rFixgk8++YT4+HgKCgoIDg5m1KhRzJw5kwEDBjTYXkREREREREREateihSsREREREREREZGT1SKLs4uIiIiIiIiIiJwqFa5ERERERERERMQtqXAlIiIiIiIiIiJuSYUrERERERERERFxSypciYiIiIiIiIiIW1LhSkRERERERERE3JIKVyIiIiIiIiIi4pZUuBIREREREREREbekwpWIiIiIiIiIiLglFa5ERERERERERMQtqXAlIiIiIiIiIiJuSYUrERERERERERFxSypciYiIiIiIiIiIW1LhSkRERERERERE3JLZ1QGItFfZ2dlMmDCB3NxcduzYgZeXV5PbX3LJJWRnZ3PHHXdw55131nv9kSNH+O9//8vGjRvJyMggICCAnj17cuWVVzJp0iQMBsOpvBxxM03Nr8zMTObPn8+aNWtISUnBarXSuXNnxo0bx8yZMwkNDa23fUZGBnPmzOH7778nJSUFHx8fYmNjueyyy5g2bRoeHh7N+fLEhZqSW3a7nWXLlrFo0SLi4+MpKCjA39+f/v37M2XKFCZOnNjge49yq21LSkpi/vz5/PjjjyQnJ2OxWOjQoQNDhw7l6quvZvTo0fW2X758OQsXLiQ+Pp7i4mLCw8MZNWoU119/PX369Gnw+XVvbNtOJb8KCgpYsGABq1evJiEhgaKiIgICAujXrx8TJ05k0qRJmM31f5XatWsX7733Hlu2bCE7O5vg4GD69evH9OnTGTduXHO/XDmNTvW960SHDx9m0qRJlJWV8eyzzzJlypR6r1dutW2nml9Hjx5l/vz5rF+/nvT0dABiYmK46KKL+NOf/oSfn1+97d3x3miw2+320/6sIu1cRUUFd955J6tWrQI4qcLVfffdx9dffw3QYOFqxYoVPPDAA5SWltZ6/pxzzuG1117Dx8enSTGIe2pqfn333Xc89NBDFBQU1Ho+LCyMd955h/79+9d6ftu2bcyePZu8vLxaz/fv3593332XDh06NPGViLtpSm6VlZVx9913s2bNmjr7Gzt2LC+//HKd7z3Krbbt008/5amnnqK8vLzOa6666ir+/ve/1ygQWK1W/vrXv/LVV1/V2s7Dw4NHHnmEa665ps6+dW9s204lv3bs2MEdd9zh/MJXm8GDB/PGG28QFhZW6/kPPviAZ555BpvNVuv5yZMn88wzz2A0agJMa3MquVUbu93OjBkz2LZtG0CDhSvlVtt2qvm1cOFCnn76acrKymptGxMTw9y5c4mOjq71vLveG1W4EjnN7HY7jz/+OJ988onzsaYWrtauXcvNN9/s/Lu+wlV8fDzTpk3DYrEQEhLCbbfdxsCBA8nKyuLDDz9k48aNAFx66aW8+OKLJ/mqxF00Nb82b97MrFmzsFgs+Pj4cP311zN69GjsdjtLly7l008/xW63Ex4ezrJlywgICKjWPjU1lUmTJpGXl4evry833XQTo0aNoqioiM8//5xvv/0WgOHDh/PBBx/oQ1Qr1tTcevjhh/n8888BiI2N5aabbiImJoakpCTmzJnD/v37Abjkkkv497//XaO9cqttW716Nbfddht2u53AwECuv/56Ro4ciaenJ3v27OG9997j6NGjANxwww387W9/q9b+ueeeY+7cuQCMHDmS6667jrCwMOLj43nrrbfIzMzEaDTy9ttvM2bMmBrPr3tj23Yq+ZWSksLkyZPJzc3FZDJx5ZVXMn78eEJCQjh27BgLFixg8+bNAAwaNIiPPvqoxsjPNWvWcOuttwIQHR3N7Nmz6dWrF8nJycyZM4f4+HgAbrnlFu69997T8Y9EmsmpvnfV5sMPP+Spp55y/l1f4Uq51badan59+eWXPPDAAwAEBwcza9Yshg0b5vzstHz5cgB69+7NokWLahS+3PreaBeR06agoMB+xx132OPi4qr9r7S0tEl9jB07tlr7V155pc7rr776antcXJx9+PDh9sOHD1c7V1FRYf/rX//q7GfLli0n+9LEDTQ1v8rKyuwXXnihPS4uzj5kyBD71q1ba1zzzjvvOPt59dVXa5y/55577HFxcfZ+/frZt23bVuP8K6+84my/ZMmSU3+R4hJNza3Dhw/be/fubY+Li7NfdtllNa4rKytzvjfFxcXZt2/fXqMP5VbbZbVa7ePGjbPHxcXZR44cWePeZLc7cm7y5Mn2uLg4e58+fewHDhxwnjtw4IC9b9++9ri4OPstt9xit9ls1dqmpqba//CHP9jj4uLsF110kd1qtdboX/fGtutU8+vBBx+0x8XF2Xv37m1ftmxZjbYVFRX2xx57zJkfH3/8cbXzZWVl9vPOO88eFxdnP/fcc+1ZWVk1zt9www32uLg4e//+/e2JiYnN88KlxZ1qbtUmJSXFPnTo0Gr31s8//7zWa5Vbbdup5ld2drZ95MiR9ri4OPvZZ59tP3ToUI32TzzxhDPPFi9eXOO8O98b9fOkyGmyadMmpk6dyooVKwBOenTAiy++SGpqKiEhIQ1eu337dn799VfAUZWPiYmpdt5gMPDII48QHBwMwLx5804qJnG9k8mvb775hiNHjgBw//33M3z48BrXzJw5k4iICABn35XS09Odo14uv/xyhg0bVqP97bffTmxsLKD8aq1OJrc2bNiA/bcB3XfddVeNUVmenp7cd999zr/Xrl1b7bxyq23bunUrx44dA+DWW2+tcW8C8Pf35/HHHwccU1Qrp8YDzJ8/H5vNhslk4uGHH66Rk1FRUdx///2AY92Y77//vtp53RvbtlPJr5KSEueIhHPPPZeLL764RluDwcDf/vY3Z358+eWX1c6vWrWK5ORkwPH+d+IakZ6envzzn//EbDZjsVj44IMPTv7Fyml1qu9dtXniiScoKipq1Od65Vbbdqr59eGHH5KbmwvA008/Tffu3Wu0v/fee50jRCvf6yq5+71RhSuR0+Dxxx/n+uuvJyEhAYCpU6dyySWXNLmfrVu38vHHH2M0GnnooYcavH7lypXO40mTJtV6jb+/PxdeeCEAP/zwAyUlJU2OS1zrZPPrm2++AaBTp05cffXVtV5jNpu55ZZbmD59ujNPKq1evdq5vsLll19ea3uj0cgVV1wBwO7du0lKSmrUaxL3cLK5lZWV5Tzu1q1brdf07NnTeZyZmVntnHKrbatcxwUcxYG6DBkyBF9fXwAOHDjgfPy7774DYOjQoXTt2rXWthMmTHCuv3Fi0V33xrbtVPIrPj7e+e/6vPPOq7Otj48PgwcPrta2UmV+eXp6MmHChFrbR0dHM2rUqGrXi/s71feuE3355ZesXbsWX19f7r777gafX7nVtp1qflV+rh86dChjx46ttW1gYCC33HIL1157LWeddVa1c+5+b1ThSuQ02L59OwDh4eG8/PLLzl9DmqK8vJxHH33UuYDjoEGDGmzzyy+/AI5fn7t06VLndZUjbUpLS52Vdmk9Tia/LBYLmzZtAmD8+PH17sz2xz/+kb///e/ccccd1R6vzC+z2VzriJhKVUdyVa4LIq3Dyb53hYeHO48PHz5c6zVVC02Vo/oqKbfatqFDh3LzzTczadIkOnbsWOd1drvdOXKvcpHZpKQkZ6FzxIgRdbb18PBw3idPzA3dG9u2U8mvsLAw7rjjDqZOnUq/fv3qfZ4T21aqzK+BAwfi7e1dZ/vK97bk5GQV3luJU8mtE2VnZ/PMM88AcPfdd9e5UHZVyq227VTyKyUlxfkjY20jRau68847eeKJJ/jTn/5U7XF3vzc27ZuziJyU0NBQ7rzzTmbOnNng9qN1ee211zh8+DAdO3bknnvuIS0trcE2hw4dAqjzF+lKVd+cEhISmryFr7jWyeTXkSNHsFgsANV2C7Tb7WRmZlJYWEhkZGS9/VXmV2RkZL2bC1TNv8o20jqc7HvXmDFjMJvNWK1W3njjDc4991w8PT2d5ysqKnjllVcAx9DzCy64oFp75VbbNnr06EbdZ3bt2uX8NbfyQ3zVf891jear1LVrVzZv3kxqairFxcXOX6h1b2zbTiW/YmJi6t2luVJ5eTk7duyo1haguLiY1NRUoHH5WenQoUP1flEU93AquXWip59+mpycHAYMGMCf/vQnNmzYUG+fyq2271Tyq3LDG4ABAwY4j202GxkZGZSVldGxY8d6P1O5+71RhSuR02DOnDmntOPV3r17mTNnDgBPPvlko75AWiwWcnJyAMdUsPpERkY6j+vb+lnc08nkV9Uvf506daK0tJQ333yTzz//3DmawWw2M3r0aO69995af3nOyMhwtq9PeHg4RqORiooKZxtpHU72vSs6Oprbb7+dl19+mT179jB58mRmzZpFTEwMqampvP/++85f6WbPnk3v3r2rtVduCcB///tf5/HZZ58NUO3fc32/SEPNe1tsbKzujeJUW3411qeffupcS6Zq21PJT2k7Gsqt77//nq+//hqz2cw///lPTCZTg30qt6RSbflV9XN9x44dyc3N5dVXX+Wrr74iLy8PAC8vL8477zzuu+++GsWp1nBvVOFK5DQ4laKVzWbj4Ycfxmq1MmHChHrnPFeVn5/vPG6o0FX5K/SJ7aR1OJn8qvzADY6b1ZQpU2qMWLFarfzwww9s2rSJ559/nokTJ1Y7X5krDeWX0WjEy8uLkpIS5VcrcyrvXbfddhvdunXjpZde4uDBgzW2bI6MjOThhx+udUi7ckuWL1/uXKA/Ojqa888/H8D5ARwazo/KNa4ACgoKAN0bxaGu/GqMxMRE/vOf/wBgMpmYMWOG81xT8qtqfiq/2o6GcquwsJAnn3wScCyA3bdv30b1q9wSqDu/qn6uz8rKYvr06TV+0CsrK+Pbb79lw4YNvPHGG4wcOdJ5rjXcG7XGlYibmzt3LvHx8QQFBfHoo482ul15ebnzuL5hoSeer9pO2q7i4mLn8aOPPsqhQ4e48MILWbx4MTt37mTdunU8+OCDeHt7Y7FYePDBB4mPj6/WR2WuNJRfVa9RfrUf2dnZ/PLLL9UWaq8qIyODpUuX1rr+hnKrfduxYwd//etfnX8/8sgjznX4mnJvq7oGTGU73RulvvxqSE5ODrNnz3Z+Wbvuuuvo0aOH8/yp5qe0bo3JrRdeeIHU1FS6du3aqGmplZRbUl9+Vf1cf/fdd5ORkcG0adNYunQpO3fuZNWqVdxyyy0YjUYKCgq48847SUlJcbZpDfdGFa5E3NiRI0d47bXXAHjggQcICwtrdNuTHSlhMBhOqp20LlV3AUlJSWHatGm8+uqr9OvXD09PTyIjI5k1axavv/46RqMRi8XC888/X62PxgxtP5Hyq31IT0/nj3/8I/Pnz8disXDnnXeyatUqdu7cyXfffcdf/vIXPD09Wb58OTNmzCAxMbFae+VW+xUfH89NN93k/BB+ww03VBuxUDU3Tubfue6N7VtD+VWf3NxcZs2axcGDBwEYPHgw9957b7VrquZXU3JG+dX6NSa3tm7dyoIFCwD4+9//Xu8C6ydSbrVvDeXXiZ/r77vvPp566il69OiBp6cnXbp04d577+Wpp54CHO9nld8xoXXcG1W4EnFTdrudxx57jNLSUkaOHMlVV13VpPZVh3E2VA2vuuNJY0Y4SOtX9d9zUFBQtV9wqjrnnHMYP348AJs2bXKufwW/D0VvzK8tlTmm/GofHn/8cQ4dOoTRaOS1117jjjvuoEuXLnh6etK5c2dmz57Nu+++i4eHB+np6TW+/Cm32qetW7dy/fXXO6c8XHzxxTz00EPVrqk6Baau3boqlZaWOo8r80P3xvarMflVl4yMDP70pz85Rx53796dt956q9qmE1A9v04mP6V1akxulZWV8cgjj2C325k8eTJnnXVWk55DudV+NSa/qv57jo2N5aabbqq1r6lTpzo3ZVq2bBlWqxVoHfdGFa5E3NTChQv56aef8PLy4h//+EeTK9pV34CqDh+tTdXzgYGBTQtUWqWq89fPPPPMavlyorFjxzqPd+7cWaOPhvKroqLCeZNTfrV9aWlprF27FoALL7ywznX5Ro0axdVXXw048qpyhy5QbrVHy5cv58Ybb3SuRXXRRRfxwgsv1PgVuOp7V9VfmGtT9XxQUBCge2N71dj8qs2hQ4eYNm2ac9eu7t2787///Y/Q0NAa11bNz4byq2p+Kr9ar8bm1muvvcaRI0cIDQ1tdMG0KuVW+3Qy98bzzjuv3u+NlZ/ri4uLnevbtoZ7owpXIm4oMzOT//u//wNg4sSJlJSUsGfPnmr/O3z4cLXrKx8vKioCHNMpoqKigIZ3fKh6PiIiorlfjrih8PBw53FD/84r8whw7jgCv+860lB+ZWZmUlFR0ajnktZv165d2O12gAY3k7jgggucx1ULV8qt9uX999/nL3/5i7MIecUVV/DSSy/Vuu5QdHS08zgtLa3efivzx2AwON/zdG9sf5qSXyfaunUr11xzjXMtmL59+/LBBx/UmQ+RkZHO6azKr7avsbm1b98+5s6dCzhGvKSlpdX4XF91vceUlBTn45WjX5Rb7U9T3ruqfq6vuutfbWr7XN8a7o3aVVDEDSUkJFBYWAjA4sWLWbx4cb3XL1y4kIULFwKON7lRo0YB0LNnT9LS0mqsH3OiqjfLnj17nkro0kr06tXLedzQjiAWi8V5XPWXlZ49e7Jt2zZSUlKwWCx1fgmomn/Kr7av6i+9AQEB9V5bdcRC5XseKLfak9dee41XX33V+ffMmTN56KGH6vy1uOpC2A3d2yrPd+rUqdoUQ90b24+m5ldV69at484773ROuxo5ciRvvvkm/v7+dbapXEvmyJEjjc5PUH61Rk3Jrfj4eOeUrLfffpu333673r5fffVVZ9/fffcdnTt3Vm61M01976r6ub7q7ru1qe9zvTvfGzXiSqQNGzx4MOB4gzlxS9Sqtm7dCoCHhwcDBgw4LbGJa3Xp0oWQkBCg+kiX2lQuRAvVRztU5ld5eTm7du2qs31lfgEMHTr0pOKV1qMyrwCOHTtW77VVR8xULWIpt9qHt99+2/nB3GAw8OCDD/LXv/613qJCRESEc0Tezz//XOd1FovF+d52Ym7o3tg+nEx+Vdq0aRN33HGHs2h10UUXMWfOnHqLVpWGDBkCOO6tVb8gnmjbtm2AY3RE1XuruL9Tya1TodxqH04mv/r374/Z7BiT1NjP9QaDwXk/Bfe/N6pwJeKGRo0axb59++r939KlS53X33HHHc7HK0dbgWN9mUp1jdoqLCxk5cqVAJx99tn1rnUkbYfRaOTiiy8G4PDhw/z000+1Xme32/n6668Bx6iFvn37Os+NGzfOeZOsK78qKir44osvAMevQTExMc31EsRNDR482JkXX331lXPaYG2WLVvmPB4+fLjzWLnV9q1evZp///vfgOP96B//+AezZs1qVNvKKaabN2+utp13VcuWLXOO/qs6JRV0b2wPTiW/UlNTufPOO53Tc6ZMmcJ//vOfGgux16Uy34qLi1m+fHmt1yQnJzvvu5UboEjrcDK5NWXKlAY/17/77rvO65999lnn4507d3Y+rtxq+072vSsoKMi54P/mzZs5evRordeVlpayYsUKAIYNG0ZwcLDznLvfG1W4EmnD+vTpw7BhwwBH9X7fvn3Vztvtdp5++mnnLhXXX3/96Q5RXOhPf/qTcwrWY489Vuuc9tdff529e/cCcPXVV1f7tSckJIQJEyYA8Pnnn7Nx48Za21eux6b8ah8CAgK47LLLAMd6V6+88kqt1y1dupQlS5YAjg0Cqk4BU261bbm5uTz66KPOvx988EGmTp3a6PbTpk3DbDZjsVh49NFHa4w8SE9P54UXXgAco0RP3JJe98a27VTz6+GHH3ZOoT///PN55plnmrRV/JgxY+jSpQsAzz//fI17q8Vi4bHHHsNqtWIymZgxY0aj+xbXOtXcOlXKrbbtVPPrxhtvBBx58NBDDzkXdK9kt9v5xz/+QVZWFgDTp0+vdt7d741a40qkjXv88ceZOnUqRUVFXHvttdxyyy2cccYZ5OTk8OGHH7JhwwYAJkyY0OSteaV169GjB3fddRcvvvgiR44cYcqUKdxwww0MHTqU4uJiFi9e7BzZFxcXV+svPg888ADff/89BQUF3HzzzcyaNYs//OEPlJSUsGjRImf7oUOHMmXKlNP6+sR17r//fjZt2kRqaipvvPEG27ZtY+rUqXTt2pWcnByWL1/OkiVLsNvtBAYG8uSTT9boQ7nVdr3//vvOD859+/blzDPPZM+ePfW28fX1pVu3boDjveu6665j7ty5bNiwgenTpzNr1iw6depEfHw8b775JpmZmRgMBp544ola10jTvbHtOpX82rRpk7NQ7ufnx3XXXef88aY+VUcje3p68sgjj3DrrbeSnp7OlVdeyezZs+nfvz8pKSnMmTPHOQV65syZ1Yr24t5O9b3rVCm32rZTza/Ro0czbdo0Fi5cyC+//MLkyZOZOXMm/fr1Iysri48++sh5bzvnnHO4/PLLa/TnzvdGg72+Mfwi0mL++te/Oodh7tixAy8vrya1P3ToEBMnTgQcUwXvvPPOOq9dsWIFDzzwgHOthhONHj2aN954Q1Mh2pCm5Ndbb73Fq6++6lw49ET9+/fnzTffrHOXkm3btjF79uw6F4Ps06cPc+bMISwsrImvQtxRY3Pr6NGj3HbbbdXWSDtRx44dee211+pcI0G51TaNGTOmwV2LTjRy5Ejmz5/v/Ntms/Hggw86pzKfyGQy8cgjj9Q74kD3xrbpVPLrvvvuqzOn6nPiyASA+fPn8+yzz2Kz2Wptc9lll/Gvf/3LOS1a3F9zvHfVZd26ddx0002AY6pgfT/IKLfapubIr4qKCv75z3/y4Ycf1tnmnHPO4T//+U+dG+i4671R2SzSDlx44YXOL3jr168nIyMDDw8PevfuzZQpU7jyyiubNAxe2pZbb72V8847jw8//JAff/yR9PR0/Pz8iI2N5YorrmDSpEn1Fr6GDx/O0qVLmTNnDmvWrCE1NRWj0UhsbCyXXHIJf/zjH5tcmJXWr1u3bixevJglS5awbNky9u7dS35+Pv7+/vTs2ZPx48czbdq0ej/4KLfanuzs7CZ/MK+NyWTixRdf5KKLLuKTTz4hPj6egoICgoODGTVqFDNnzmxw0VjdG9ueU82v2gpQJ+tPf/oTw4cPZ968eWzevJmsrCx8fX3p378/06ZNc64zKa1Dc713NQflVtvTXPllNBp5/PHHueSSS1iwYAFbt27l+PHjBAUF0atXL6ZOncpFF12EyWSqsw93vTdqxJWIiIiIiIiIiLgl/YwkIiIiIiIiIiJuSYUrERERERERERFxSypciYiIiIiIiIiIW1LhSkRERERERERE3JIKVyIiIiIiIiIi4pZUuBIREREREREREbekwpWIiIiIiIiIiLglFa5ERERERERERMQtqXAlIiIiIiIiIiJuSYUrERERERERERFxSypciYiIiIiIiIiIW1LhSkRERERERERE3JIKVyIiIiIiIiIi4pZUuBIREREREREREbekwpWIiIiIiIiIiLglFa5EREREpE2YN28eixYtcnUYIiIi0oxUuBIRERGRVq+goIC5c+eyYMECysvLXR2OiIiINBOD3W63uzoIEREREZGmSk9PZ968eaxcuZKkpCTn415eXvTr149rr72Wyy67DIPB4MIoRURE5FSocCUiIiJSi1dffZXXXnut3msMBgMeHh74+/sTHR3NsGHDmDBhAkOHDj1NUbZt8+bN49lnn+Wyyy7jhRdeqHZu06ZN3HnnneTn59fbx8iRI3nzzTfx9/ev9nh5eTmXXXYZx44d48MPP2TIkCHNHb6IiIg0A00VFBERETlJdrud8vJysrOz2blzJ//73/+YPn0699xzD2VlZa4Or1Xbs2cPL7zwAr6+vjz44IPVzh09epTbbrvNWbTq378/Tz75JOHh4cTFxXHbbbfh5+cHwE8//cRf//rXGv17enry8MMPY7Vaue+++ygsLGz5FyUiIiJNZnZ1ACIiIiLubuLEiVxyySW1nisvLyc3N5cff/yRlStXYrfbWbp0KVarlVdfffU0R9o22Gw2/va3v2GxWLjjjjuIiIiodv7f//43RUVFAFxyySU899xzeHh48O677xIcHMzdd9/NJZdcwtSpUykuLmblypVs3bqVM844o1o/Y8eO5Q9/+AM//PADL7zwAk8++eTpeokiIiLSSCpciYiIiDSge/fujB8/vt5rrr32WlatWsVdd92FzWZjxYoVrF27lrFjx56mKNuO+fPns2fPHiIiIrjhhhuqnSsuLmb16tUABAUF8eSTT+Lh4VGjj549e3LjjTc6p3t++eWXNQpXAPfffz/r169n4cKFTJ48mcGDBzf/CxIREZGTpqmCIiIiIs1k/PjxXHHFFc6/P/vsM9cF00rl5+fz+uuvAzBr1iy8vb2rnU9MTHTuGjhw4EACAwPr7Ov888+nc+fO/OEPfyA2NrbWa/r06cP48eOpqKjg+eefb6ZXISIiIs1FhSsRERGRZnTppZc6j3fs2OHCSFqnuXPnkp+fj7e3N1OmTKlxvuraYZ6envX21a9fP7777jv++9//MnPmzDqvmz59OgBbt25l/fr1Jxm5iIiItARNFRQRERFpRlFRUc7jrKysaueq7lS4fv16Dh48yEsvvcTevXvx9vYmJiaG22+/vcb0wl9//ZXPP/+cn376iYyMDOx2OxEREYwcOZKrr76aQYMGNRiX1Wrl+++/Z/HixRw4cIC0tDQ8PDzo1q0b55xzDjNmzCAyMrLO9iUlJSxZsoRVq1axd+9e8vLy8PPzo2vXrs72YWFhTflHVUNZWRkff/wxABdeeGGto6mq/vONj4+nvLy8wQJWQ84++2yio6NJTk7mvffe45xzzjml/kRERKT5qHAlIiIi0owKCgqcx/VNY1u/fj2PPPIINpsNcBRttm/fXq0wU15ezmOPPcaSJUtqtD969ChHjx7l008/ZerUqTz++ON1FnCSkpK488472bNnT7XHy8rKiI+PJz4+ng8//JDnnnuu1rW8tmzZwgMPPEBqamq1x3Nzc8nNzWXHjh3MmzePhx9+mKlTp9b5mhuybNkycnNzAbjgggtqvSYyMpK4uDj2799Peno6b731FnfddddJPyeAwWBg3LhxzJ8/nw0bNpCYmEjXrl1PqU8RERFpHipciYiIiDSjH374wXk8cODAOq974oknMBqNXHPNNQwZMoTExET27dtH7969AcfOerfccgsbN24EIDQ0lCuuuIK+ffsCsHfvXhYtWkROTg6ffvopWVlZvPHGGxgMhmrPk56ezlVXXeUsCHXu3JkrrriC7t27k5OTw4oVK9i8eTOFhYXcfffdfPTRR9UWKN+6dSuzZs1yTtGLi4vjsssuo3PnzuTm5rJmzRrWrVtHcXExjz76KEVFRTUWVG+sZcuWAeDh4cFZZ51V53WzZ8/mnnvuAeD111/nwIED3HTTTSf1nJXGjBnD/PnzsdvtfPvtt9x8882n1J+IiIg0DxWuRERERJrJoUOHmDdvnvPvSZMm1XltWVkZzz77bK3rOAG88847zqLV2WefzX/+859qI7guv/xybrnlFm6//Xa2bNnC6tWr+fjjj7n22mur9fPkk086i1YTJ07kueeeqzYy649//COvvPIKr7/+OlarlWeffZYFCxYAUFpayr333ussWv35z3/mvvvuw2j8fZnUa6+9luXLl3P//fdTXl7O888/zxlnnMGAAQMa8U/sd+Xl5fz444+AYxdHf3//Oq+dOHEie/bs4Z133gFgxYoVrFixAgCLxcIHH3zAmDFjmjRqasiQIc7jdevWqXAlIiLiJrQ4u4iIiMhJstvtFBYWsmvXLl577TWuvvpq51TBESNGMGHChDrbRkdHM3ny5FrPFRUVMXfuXADCw8N59dVXa512GBQUxIsvvoivry8A7777rnPqITgKaatXrwYgJiamRtGq0p133klcXBwAv/zyC0ePHgXg008/JT09HYBzzz2XBx54oFrRqtJFF13EX/7yF8AxUuyNN96o83XXZffu3c4CWeWos/rcd999vPnmm84RaJUyMjL4xz/+wQUXXMC0adPYvHlzo54/MDCQjh07ArBz504sFksTX4GIiIi0BI24EhEREWnAa6+95lxUvTEGDRrEyy+/XGPaXlUjRoyo8/wPP/xAfn4+4Nil0M/Pr85+IiMjGTduHF9//TUpKSns3r3bOUXxu+++c1537bXX1rkGlsFg4P777ychIYGYmBhCQ0NrtL/lllvqjAFgxowZvP322+Tl5bFu3TpKSkrw8fGpt01V+/fvdx736tWrUW3GjRvHuHHjnCPOPvroI0pLS53nf/31V66//nr+8pe/cOuttzbYX1xcHKmpqZSWlpKUlET37t0bHb+IiIi0DBWuRERERJqB2WymT58+XHnllVx11VUN7nTXo0ePOs/9/PPPzuPi4mJWrVrV4HNX2rFjh7Nw9euvvzofHzFiRL19jB07ttbdDAF8fX2rTaWrjbe3N8OGDWPNmjVYLBbi4+M544wz6m1TVXJysvO4Q4cOjW4Hjtc2YsQIli9fTmhoKNOmTWPevHkcPHgQu93OSy+9RExMDBdffHG9/VR93uTkZBWuRERE3IAKVyIiIiINmDhxIpdcckmNx41GI76+vgQFBREbG4u3t3ej+6xvx8G0tDTn8cKFC1m4cGGj+83Kyqr1ODo6utF9ABQWFlJSUgI4FnSvbYrgiaquKXX8+PEmPV9eXp7zOCAgoEltq/Lx8WHq1KlMnjyZ5557jvfffx+Af//73w0Wrqo+b+WINxEREXEtFa5EREREGtC9e3fGjx/frH3WNyKrcp2sk1FYWOg8rlyUHWjStD1wrLNVqXINrYZUfY7i4uImPV95eXmTn68+ZrOZhx56iO+//57ExESOHj3K3r176dOnT51tqj5v5XpbIiIi4loqXImIiIi4maojt959913GjBlzyv2UlJQ0OH2xqqpFnMYWoaoWu5paKKsaa9UiVm3Ky8s5ePAg3bp1q3f9L7PZzJlnnkliYiIACQkJ9RauqharmjJ6TkRERFqOdhUUERERcTPh4eHO48pd/U5GWFiY8zg1NbXea/Py8ti0aRPHjh3DZrMREBDgLD4dO3aMioqKBp+vcjdCgKioqCbFWnWaXn0jzv75z38ydOhQJk+ezNatWxvsNyQkxHlstVrrvbbqaLX6pnKKiIjI6aPClYiIiIibGTx4sPN406ZNDV4/Z84cHnzwQV5++WX27dvnfLxykXaAbdu21dvH2rVruf766zn//PN59913AcfuiOAYcVV1offalJSUOBeVN5vNjd4ZsFK3bt2cx/UV2QICApwFqI0bNzbYb9ViWkRERL3XpqSk1BqPiIiIuI4KVyIiIiJu5txzz8XLywuA5cuXc/jw4TqvTU9P55VXXuGLL77gjTfewGAwOM+NGzfOebxgwYJ6Rxx98cUXzuNzzjkHgAsvvND52Ntvv11vzB9++KFzxNKZZ56Jv79/vdefqGfPns7j+l7vqFGjqsVc3+iszMxMvv/+ewC8vLyqFQRrc+TIEcAxzbGpi9mLiIhIy1DhSkRERMTNdOjQgauvvhoAi8XC7NmzSUpKqnFdfn4+s2fPprS0FIDzzjuPuLg45/lBgwY5Cz379+/nqaeewmaz1ejn/fffZ/369QAMGzaMAQMGAHDllVc6py1+//33vPDCC7VOGVyxYgUvv/wy4BhtdccddzT5Nffr18+5rlZ8fHyd15155pn07dsXgJycHO69917n66+qsLCQe+65x3nuyiuvrHfdrZycHI4dOwbA8OHDG7WLooiIiLQ8Lc4uIiIi4obuv/9+tm3bxu7duzl8+DCXXnopkyZNYujQoRgMBg4ePMinn37q3DkwLCyMJ598skY/zz77LFOmTCE3N5eFCxfy888/M2nSJKKjo0lPT+e7775jy5YtAPj5+fHUU0852/r4+PDSSy8xc+ZMLBYL7777LmvXruXyyy8nOjqavLw81qxZw9q1a51t7r77boYOHdrk11u5kPrq1as5ePAg2dnZhIaG1nrtP/7xD2bMmEFZWRnr1q1j0qRJXHPNNZSWlpKTk8Nbb73FggULnFMOo6Ojufvuu+t9/sp/BgB/+MMfmhy/iIiItAwVrkRERETckLe3N++//z4PPvggq1evprS0lIULF7Jw4cIa1/bs2ZPXXnut1gXRo6Oj+eijj7j99ts5fPgwBw4c4IUXXqhxXWRkJC+//HKNtalGjBjBvHnzuOeee8jIyGD//v21tvfx8eHxxx9nypQpJ/2aL7/8clavXo3dbmfdunVcccUVtV43cOBAXn31VR588EFyc3M5cuQIzz77LABZWVm89NJLzmtjYmJ49913CQ4Orve5f/jhBwBMJhMTJ0486dcgIiIizUuFKxERERE3FRAQwJtvvslPP/3EkiVL2LZtGxkZGVgsFoKDg+nXrx8XX3wxl112GR4eHnX206NHD7766iu++OILPvnkE7Zv3+48N2TIEMaPH8/06dOr7exX1RlnnMHKlSv57LPPWL16Nfv27SMvL4/g4GA6d+7M+PHjueKKK6rtYngyzj//fMLCwjh+/DjLli2rs3AFMHbsWJYuXcrnn3/OqlWr2Ldvn3NaYEBAAD179uTiiy/mmmuuca4XVheLxcLKlSsBx3TLhhZxFxERkdPHYLfb7a4OQkREREROjyVLlvDQQw/RuXNnXnzxRYYMGeLqkKqZN28ezz77LGazmXXr1tGhQ4dGtbPZbJx//vl06dKF+fPnN+k5V61axe233w7A4sWL6devX5PjFhERkZahVSdFRERE2hGLxcKYMWPIyspi2rRp3HnnnbUuuO4q06dPJzw8HKvVykcffdTodiaT6aQXVH///fcBx4gvFa1ERETciwpXIiIiIu3I1KlTeffdd3nmmWcAx46AGzdudHFUv/P29ubPf/4zAB999BHFxcUt+ny7du1i8+bNGAyGk9oNUURERFqW1rgSERERaQdycnLYtm0bFouFtLQ0PvnkE+c5d1s5YsaMGXz55ZfEx8fz/vvvc+uttzaq3erVq5v8XJULuc+YMUOjrURERNyQ1rgSERERaQdWr17N7Nmzazw+bNgwPvjgA0wmkwuiqtuhQ4eYMmUKHh4eLF++vNFrXTXFxo0bmTlzJrGxsSxZsgRvb+9mfw4RERE5NZoqKCIiItIO2O12QkNDMZlMeHl50atXL26//Xbmzp3rdkUrcOyEeP/991NQUMBzzz3X7P2Xl5fz1FNPYTabef7551W0EhERcVMacSUiIiIiIiIiIm5JI65ERERERERERMQtqXAlIiIiIiIiIiJuSYUrERERERERERFxSypciYiIiIiIiIiIW1LhSkRERERERERE3JIKVyIiIiIiIiIi4pZUuBIREREREREREbekwpWIiIiIiIiIiLglFa5ERERERERERMQtqXAlIiIiIiIiIiJuSYUrERERERERERFxSypciYiIiIiIiIiIW1LhSkRERERERERE3JIKVyIiIiIiIiIi4pZUuBIREREREREREbekwpWIiIiIiIiIiLglFa5ERERERERERMQt/T9QRY/nycQdagAAAABJRU5ErkJggg==",
      "text/plain": [
       "<seaborn._core.plot.Plot at 0x20f8f27e0c0>"
      ]
     },
     "execution_count": 9,
     "metadata": {
      "image/png": {
       "height": 378.25,
       "width": 509.15
      }
     },
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(\n",
    "    so.Plot(quant_df, x='Preço ($)')\n",
    "    .add(so.Area(), so.KDE())\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "934f5a8e-4277-4135-a1a7-531091f913db",
   "metadata": {},
   "source": [
    "CDF"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "d308af5c-618e-466e-b58c-9bc9b9c7c558",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<seaborn._core.plot.Plot at 0x20f8f9d37d0>"
      ]
     },
     "execution_count": 10,
     "metadata": {
      "image/png": {
       "height": 378.25,
       "width": 509.15
      }
     },
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(\n",
    "    so.Plot(quant_df, x='Preço ($)')\n",
    "    .add(so.Line(), so.KDE(cumulative=True))\n",
    "    .add(so.Line(color='black'), so.KDE(bw_adjust=1E-10, cumulative=True))\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5a4f4d4c-b0a1-4367-98a9-1b82b4d03f13",
   "metadata": {},
   "source": [
    "---"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1b31dfe1-6c7c-4cf1-99c8-b79ef3b0c8d9",
   "metadata": {},
   "source": [
    "## Teste Qui²"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a815d2d6-caa2-4b37-9911-20b91089e2ec",
   "metadata": {},
   "source": [
    "1) A goodness of fit test is for testing whether a set of multinomial counts is distributed according to a prespecified (i.e. before you see the data!) set of population proportions.\n",
    "\n",
    "2) A test of homogeneity tests whether two (or more) sets of multinomial counts come from different sets of population proportions.\n",
    "\n",
    "3) A test of independence is for a bivariate** multinomial, and tests whether $p_{ij}$\n",
    " is different from $p_{i}p_{j}$.\n",
    "\n",
    "**(usually)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7cb1c679-01b4-4ba1-bbec-b6896fabf989",
   "metadata": {},
   "source": [
    "Goodness-of-Fit Test: The goodness-of-fit test is used to determine whether a set of observed data fits a specific theoretical distribution. In other words, it checks if the data is likely to come from a particular distribution, such as a normal distribution or a binomial distribution. The expected frequencies are calculated under the assumption that the sample came from the hypothesized distribution, and the chi-squared statistic is calculated as the sum of the squared differences between the observed and expected frequencies, divided by the expected frequencies.\n",
    "\n",
    "Test of Independence: The test of independence is used to determine whether two categorical variables are independent of each other. In other words, it checks if the distribution of one variable is the same across different levels of the other variable. The expected frequencies are calculated under the assumption that the two variables are independent, and the chi-squared statistic is calculated as the sum of the squared differences between the observed and expected frequencies, divided by the expected frequencies."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8ae615ce-0474-4475-9ac4-e313618e74b3",
   "metadata": {},
   "source": [
    "### Independence Test with a Contingency Table"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "581118a0-20f9-473a-b0b7-e091521100f6",
   "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>Baixo</th>\n",
       "      <th>Médio</th>\n",
       "      <th>Alto</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>Total Health</th>\n",
       "      <td>40</td>\n",
       "      <td>16</td>\n",
       "      <td>12</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Viva Vida</th>\n",
       "      <td>32</td>\n",
       "      <td>24</td>\n",
       "      <td>16</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Mena Saúde</th>\n",
       "      <td>24</td>\n",
       "      <td>32</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "              Baixo  Médio  Alto\n",
       "Total Health     40     16    12\n",
       "Viva Vida        32     24    16\n",
       "Mena Saúde       24     32     4"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "chi_df = (\n",
    "    pd.read_excel(\n",
    "        xl_path,\n",
    "        sheet_name='Associação - Qui²',\n",
    "        usecols=[1,2,3,4],\n",
    "        header=3,\n",
    "        index_col=0,\n",
    "        nrows=3,\n",
    "    )\n",
    ")\n",
    "chi_df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "d4fd60dc-d386-4a61-8547-e87d6094cef3",
   "metadata": {
    "editable": true,
    "slideshow": {
     "slide_type": ""
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "chi2val, pvalue, dof, f_exp = stats.chi2_contingency(chi_df)\n",
    "critical05 = stats.chi2.isf(.05, dof)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "6cf2b92b-06be-4570-8bdf-1a6f12107ce3",
   "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>Baixo</th>\n",
       "      <th>Médio</th>\n",
       "      <th>Alto</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>Total Health</th>\n",
       "      <td>32.64</td>\n",
       "      <td>24.48</td>\n",
       "      <td>10.88</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Viva Vida</th>\n",
       "      <td>34.56</td>\n",
       "      <td>25.92</td>\n",
       "      <td>11.52</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Mena Saúde</th>\n",
       "      <td>28.80</td>\n",
       "      <td>21.60</td>\n",
       "      <td>9.60</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "              Baixo  Médio   Alto\n",
       "Total Health  32.64  24.48  10.88\n",
       "Viva Vida     34.56  25.92  11.52\n",
       "Mena Saúde    28.80  21.60   9.60"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pd.DataFrame(f_exp, index=chi_df.index, columns=chi_df.columns)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "4e29fd94-ca15-4b4a-b749-1a4b42ac07f1",
   "metadata": {
    "editable": true,
    "jupyter": {
     "source_hidden": true
    },
    "slideshow": {
     "slide_type": ""
    },
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "χ²: 15.861\n",
      "DoF: 4\n",
      "pvalue: 0.0032\n",
      "Critical (.05): 9.488\n",
      "\n"
     ]
    }
   ],
   "source": [
    "print(f'''χ²: {chi2val:.3f}\n",
    "DoF: {dof}\n",
    "pvalue: {pvalue:.4f}\n",
    "Critical (.05): {critical05:.3f}\n",
    "''')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a02e85e1-b04d-4a86-8b49-aec487f69f86",
   "metadata": {
    "editable": true,
    "slideshow": {
     "slide_type": ""
    },
    "tags": []
   },
   "source": [
    "---"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d4872435-f374-4925-b56b-f92da5f9764a",
   "metadata": {},
   "source": [
    "## Teste F"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "31d1463a-a878-476e-8db8-d7a0a4361dba",
   "metadata": {},
   "source": [
    "F-test of equality of variances"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4d199b75-d275-4ca6-bb5c-03598fe5550d",
   "metadata": {},
   "source": [
    "$ F={\\frac {S_{X}^{2}}{S_{Y}^{2}}} $, onde $ S^2 $ é a variância amostral"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d2d712b1-49f9-4d6f-ad98-5d38956a6d72",
   "metadata": {},
   "source": [
    "## Distribuição t"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3f8a6e21-9740-436b-8856-e00e3b26934b",
   "metadata": {},
   "source": [
    "$\n",
    "\\displaystyle f(t)={\\frac {\\ \\Gamma \\left({\\frac {\\ \\nu +1\\ }{2}}\\right)\\ }{\\ {\\sqrt {\\pi \\ \\nu \\ }}\\ \\Gamma \\left({\\frac {\\nu }{2}}\\right)}}\\left(\\ 1+{\\frac {~t^{2}\\ }{\\nu }}\\ \\right)^{-(\\nu +1)/2}\n",
    "$, onde $\\nu$ é o grau de liberdade e $\\Gamma$ a função gamma."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "535034a3-3410-4d6c-8a83-f147c523563e",
   "metadata": {},
   "outputs": [],
   "source": [
    "sp = np.linspace(-4,4,200)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "cabc0f30-d8fe-4681-84df-d26b0aa87137",
   "metadata": {},
   "outputs": [],
   "source": [
    "ddof_l = [1,4,8,24]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "6e147edd-b1d4-4db9-924d-9a79a341751d",
   "metadata": {},
   "outputs": [],
   "source": [
    "t = (\n",
    "    pd.DataFrame({f'ν = {dof}':stats.t.pdf(sp, dof) for dof in ddof_l})\n",
    "    .set_index(sp)\n",
    "    .stack()\n",
    "    .reset_index()\n",
    "    .rename(columns={'level_0': 'x', 'level_1': 'dof', 0: 'P(x)'})\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "474c4aa5-bf89-4ffa-b30d-817f563ecf5c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<seaborn._core.plot.Plot at 0x20f8f9a0b90>"
      ]
     },
     "execution_count": 18,
     "metadata": {
      "image/png": {
       "height": 378.25,
       "width": 599.25
      }
     },
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(\n",
    "   so.Plot(t, x='x', y='P(x)')\n",
    "    .add(so.Line(), color='dof')\n",
    "    .add(\n",
    "        so.Line(color='black'), \n",
    "        label='N(0,1)', \n",
    "        data=pd.DataFrame({'x': sp, 'P(x)': stats.norm.pdf(sp)}),\n",
    "    )\n",
    "    .label(\n",
    "        color=''\n",
    "    )\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "62ab1cce-2768-4944-9506-06f6f24725a7",
   "metadata": {},
   "source": [
    "A medida que $ \\displaystyle \\ \\nu \\rightarrow \\infty $, a distribuição t tende a$ \\displaystyle \\ {\\mathcal {N}}(0,1) $"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d0db488e-84c6-42d3-bc8b-899f12c07319",
   "metadata": {},
   "source": [
    "### Teste t de uma amostra "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "85349fd9-8e59-4a77-ba36-a41d8cc4e8a1",
   "metadata": {},
   "source": [
    "$ \\displaystyle t = \\frac{\\bar{x} - \\mu _{0}}{s/\\sqrt{n}} $"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "id": "f6c12614-7d57-4f02-a093-92dc21048f9a",
   "metadata": {
    "editable": true,
    "slideshow": {
     "slide_type": ""
    },
    "tags": []
   },
   "source": [
    "<div>\n",
    "<img src=\"https://upload.wikimedia.org/wikipedia/commons/1/1b/One_sample_t-test.png\" width=\"500\"/>\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "710de97a-b631-4f0e-9d46-2f31263c6ef4",
   "metadata": {},
   "source": [
    "### Teste t para o coeficiente de correlação"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0857689c-d534-4608-9d3a-a1d61ddb7258",
   "metadata": {},
   "source": [
    "$ \\displaystyle t=\\frac{r}{\\sqrt{(1-r^2)/(n-2)}} $"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "8751f96a-2e9e-4485-a301-861f269d5ec0",
   "metadata": {},
   "outputs": [],
   "source": [
    "def ttest_corr(r, n):\n",
    "    return r/np.sqrt((1-r**2)/(n-2))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "39517eed-88ec-4f8c-a851-2057cb73a8ff",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(46.5872202876744, 47.4127797123256)"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "stats.t.interval(confidence=.95, df=24, loc=47, scale=1/np.sqrt(25))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e22d0743-46f4-4bc9-bdef-8177863c3387",
   "metadata": {},
   "source": [
    "onde `loc` é a média e `scale` o erro padrão `np.sem`"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e92e9349-b5b9-472e-877e-415d44f9c7ed",
   "metadata": {
    "editable": true,
    "slideshow": {
     "slide_type": ""
    },
    "tags": []
   },
   "source": [
    "---"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0392c899-c602-4e9c-9746-9c62b7585c06",
   "metadata": {},
   "source": [
    "## Distribuição normal"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3a2de6b6-5c63-4ace-bcf4-0d996b34f7fa",
   "metadata": {},
   "source": [
    "$ \n",
    "\\displaystyle f(x)={\\frac {1}{\\sigma {\\sqrt {2\\pi }}}}e^{-{\\frac {1}{2}}\\left({\\frac {x-\\mu }{\\sigma }}\\right)^{2}} \n",
    "$"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2672203b-e9bf-4853-b912-f27c3e262ed7",
   "metadata": {},
   "source": [
    "$ \\displaystyle {\\mathcal {N}}(\\mu ,\\sigma ^{2}) $"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "6a758018-fbbf-4849-af11-e1fc71853dc4",
   "metadata": {},
   "outputs": [],
   "source": [
    "x = np.linspace(-4,4,100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "a2a09144-215e-4bc5-a2e9-dc754e30d851",
   "metadata": {
    "editable": true,
    "slideshow": {
     "slide_type": ""
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<seaborn._core.plot.Plot at 0x20f8f955820>"
      ]
     },
     "execution_count": 22,
     "metadata": {
      "image/png": {
       "height": 378.25,
       "width": 509.15
      }
     },
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(\n",
    "    so.Plot(x=x, y=stats.norm.pdf(x))\n",
    "    .add(so.Area())\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "df614350-d2b8-4451-a534-27d1e9990ce1",
   "metadata": {},
   "source": [
    "### Distribuição Z (normal padrão)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6375632e-9d4a-45b6-9b4d-46193ab0d990",
   "metadata": {},
   "source": [
    "$ \\displaystyle \\ {\\mathcal {N}}(0,1) $"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a8f780d1-98ac-4348-83d2-56ed3a78ac36",
   "metadata": {},
   "source": [
    "Caso especial da distribuição normal onde o desvio padrão é 1 e a média 0.\n",
    "Se pode converter um score (valor) $x$ a um Z-Score $z$, que nos diz a distância \n",
    "entre score $x$ e a média da população $\\mu$ em unidades de $\\sigma$. $z$ é \n",
    "positivo quando $x$ é maior que $\\mu$ e negativo quando é menor."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3c505e01-941c-4eb4-a380-da6d46473026",
   "metadata": {},
   "source": [
    "$ \\displaystyle z = \\frac{x-\\mu}{\\sigma} $, onde $\\mu$ é a média da população e $\\sigma$ é o desvio padrão da população."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "b5d19a47-6c1b-4ed6-b472-ffb282034896",
   "metadata": {},
   "outputs": [],
   "source": [
    "def zscore(x: float, mu: float, sigma: float):\n",
    "    return (x-mu)/sigma"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7facf7e4-7773-451a-9ec4-bbe75b09f13a",
   "metadata": {},
   "source": [
    "### Teste Z"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1b905f39-a2be-43e5-b123-322bb91d49cd",
   "metadata": {
    "editable": true,
    "slideshow": {
     "slide_type": ""
    },
    "tags": []
   },
   "source": [
    "$\n",
    "\\displaystyle Z = \\frac{(\\bar{X} - \\mu)}{SE}\n",
    "$"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d434a516-aec9-4002-81ba-debde30a1266",
   "metadata": {},
   "source": [
    "$ \\displaystyle SE = \\frac{\\sigma}{\\sqrt{n}} $"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "11740ace-e011-459f-a936-1727c39da018",
   "metadata": {},
   "source": [
    "Distância entre a média amostral $ \\bar{X} $ e a média da população $ \\mu $ em unidades de erro padrão."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "592a9f62-afe4-4b12-ac74-312e77ea9295",
   "metadata": {
    "editable": true,
    "slideshow": {
     "slide_type": ""
    },
    "tags": []
   },
   "source": [
    "## Distribuição Binomial e Binomial Negativa"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ac699878-56e0-4f41-9670-9851f3d84f31",
   "metadata": {},
   "source": [
    "You're selling candy door-to-door. At each door you knock on, you have probability 1/4 of selling 1 candy bar and probability 3/4 or selling 0 candy bars. Your probability of selling n bars if you knock on 50 doors is a binomial distribution in n. Your probability of having to knock on m door in order to sell 30 bars is a negative binomial distribution in m. Note that the former cuts off at 50 because you can't sell more than 50 bars, while the latter has a tail at infinity because you could just have terrible luck that day and never sell the 30th bar."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "6a049bb7-99f5-439d-952f-a2a47d4c5416",
   "metadata": {},
   "outputs": [],
   "source": [
    "k = np.arange(0,40)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "2b79c21b-998c-4544-9900-a085b50a1a6e",
   "metadata": {},
   "outputs": [],
   "source": [
    "n_and_p = [(20, 0.5), (40, 0.5), (20, 0.7)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "266990c2-e8fc-4a41-9faf-8e77591a32c5",
   "metadata": {},
   "outputs": [],
   "source": [
    "binom = (\n",
    "    pd.DataFrame(\n",
    "        {f'n = {n}, p = {p}':stats.binom.pmf(n=n, p=p, k=k) for n, p in n_and_p}\n",
    "    )\n",
    "    .set_index(k)\n",
    "    .stack()\n",
    "    .reset_index()\n",
    "    .rename(columns={'level_0': 'k', 'level_1': 'n_and_p', 0: 'P(k)'})\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "136640ed-b7cf-441d-a776-ec846cc8918c",
   "metadata": {},
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<seaborn._core.plot.Plot at 0x20f93cbce60>"
      ]
     },
     "execution_count": 27,
     "metadata": {
      "image/png": {
       "height": 378.25,
       "width": 644.725
      }
     },
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(\n",
    "    so.Plot(binom, x='k', y='P(k)')\n",
    "    .add(so.Dot(pointsize=4), color='n_and_p')\n",
    "    .limit(y=(-.01, .25))\n",
    "    .label(x='', y='', color='', title='Binomial')\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "e90193f1-766a-4938-9dee-26e861198dff",
   "metadata": {},
   "outputs": [],
   "source": [
    "ns = [1, 2, 3, 4, 5, 10]\n",
    "p = 0.5"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "0d1c6e0e-b020-48a9-8be2-0bdbdf68b375",
   "metadata": {},
   "outputs": [],
   "source": [
    "nbinom = (\n",
    "    pd.DataFrame({n:stats.nbinom.pmf(k=np.arange(0,25), n=n, p=p) for n in ns})\n",
    "    .stack()\n",
    "    .to_frame(name='P(k,n)')\n",
    "    .reset_index(names=['k','n'])\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fafc53ff-9ff1-43ee-a0cc-be9816cda902",
   "metadata": {},
   "source": [
    "Negativa Binomial"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "0a7cf41d-1a3c-4b1b-8a60-cc40d3eaacd4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<seaborn._core.plot.Plot at 0x20f93dee7b0>"
      ]
     },
     "execution_count": 30,
     "metadata": {
      "image/png": {
       "height": 558.025,
       "width": 1209.975
      }
     },
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(\n",
    "    so.Plot(nbinom, x='k', y='P(k,n)')\n",
    "    .facet(col='n', wrap=3)\n",
    "    .add(so.Dot(pointsize=4))\n",
    "    .label(x='', y='', col='n = ')\n",
    "    .layout(size=(15, 7))\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e8cb909a-57a6-4116-9a0e-fbebdbb240e4",
   "metadata": {},
   "source": [
    "---"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d1f2c9ba-a0c3-43de-850a-f674c52f7c53",
   "metadata": {},
   "source": [
    "## Correlação de Pearson"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "id": "4ff88e80-e186-4503-82e6-323d2ecf3d0b",
   "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>Nota Matemática</th>\n",
       "      <th>Nota Física</th>\n",
       "      <th>Nota Literatura</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>5.5</td>\n",
       "      <td>7.5</td>\n",
       "      <td>9.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>9.0</td>\n",
       "      <td>8.5</td>\n",
       "      <td>5.5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>4.5</td>\n",
       "      <td>5.0</td>\n",
       "      <td>6.5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>6.5</td>\n",
       "      <td>8.0</td>\n",
       "      <td>6.5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>7.5</td>\n",
       "      <td>6.0</td>\n",
       "      <td>5.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   Nota Matemática  Nota Física  Nota Literatura\n",
       "0              5.5          7.5              9.0\n",
       "1              9.0          8.5              5.5\n",
       "2              4.5          5.0              6.5\n",
       "3              6.5          8.0              6.5\n",
       "4              7.5          6.0              5.0"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "corrp_df = (\n",
    "    pd.read_excel(\n",
    "        xl_path,\n",
    "        sheet_name='Correlação de Pearson',\n",
    "        usecols=[1,2,3],\n",
    "    )\n",
    ")\n",
    "corrp_df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "id": "e15275d9-1ef1-4066-9bc6-dc2047b6f726",
   "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>Nota Matemática</th>\n",
       "      <th>Nota Física</th>\n",
       "      <th>Nota Literatura</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>mean</th>\n",
       "      <td>6.77500</td>\n",
       "      <td>6.866667</td>\n",
       "      <td>6.566667</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>std</th>\n",
       "      <td>2.05354</td>\n",
       "      <td>1.716720</td>\n",
       "      <td>1.715715</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "      Nota Matemática  Nota Física  Nota Literatura\n",
       "mean          6.77500     6.866667         6.566667\n",
       "std           2.05354     1.716720         1.715715"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "corrp_df.agg(['mean','std'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "id": "32e69c6a-d8a0-4074-90b9-6971cfa79ca6",
   "metadata": {},
   "outputs": [],
   "source": [
    "col_comb = list(combinations(corrp_df.columns, 2))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "id": "cbd27f33-96a3-4ec3-8831-ba684488e906",
   "metadata": {},
   "outputs": [],
   "source": [
    "def corr_pvalue(a: np.ndarray, b: np.ndarray) -> float:\n",
    "    pvalue = stats.pearsonr(a, b).pvalue\n",
    "    return pvalue"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "id": "465bc77f-0ce5-4ef2-ba2f-9276573aad55",
   "metadata": {},
   "outputs": [],
   "source": [
    "def matrix_unstack_filt(\n",
    "    df: pd.DataFrame, \n",
    "    matrix: typing.Callable,\n",
    "    filt: typing.Iterable,\n",
    "    **matrix_kwargs) -> pd.DataFrame:\n",
    "    return df.pipe(matrix, **matrix_kwargs).unstack().loc[filt] "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "id": "d50b733e-2603-458c-b3c4-f1d6698db94f",
   "metadata": {},
   "outputs": [],
   "source": [
    "unstack_filt_corrp = partial(matrix_unstack_filt, df=corrp_df, filt=col_comb)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "id": "d5d20db7-23aa-49d5-8fb8-28fc56632f94",
   "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></th>\n",
       "      <th>covar</th>\n",
       "      <th>pearson</th>\n",
       "      <th>r_pvalue</th>\n",
       "      <th>ttest</th>\n",
       "      <th>critical05</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th rowspan=\"2\" valign=\"top\">Nota Matemática</th>\n",
       "      <th>Nota Física</th>\n",
       "      <td>2.124138</td>\n",
       "      <td>0.602532</td>\n",
       "      <td>0.000426</td>\n",
       "      <td>3.994890</td>\n",
       "      <td>2.048407</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Nota Literatura</th>\n",
       "      <td>-1.087931</td>\n",
       "      <td>-0.308783</td>\n",
       "      <td>0.096862</td>\n",
       "      <td>-1.717873</td>\n",
       "      <td>2.048407</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Nota Física</th>\n",
       "      <th>Nota Literatura</th>\n",
       "      <td>-0.852874</td>\n",
       "      <td>-0.289561</td>\n",
       "      <td>0.120647</td>\n",
       "      <td>-1.600792</td>\n",
       "      <td>2.048407</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                                    covar   pearson  r_pvalue     ttest  \\\n",
       "Nota Matemática Nota Física      2.124138  0.602532  0.000426  3.994890   \n",
       "                Nota Literatura -1.087931 -0.308783  0.096862 -1.717873   \n",
       "Nota Física     Nota Literatura -0.852874 -0.289561  0.120647 -1.600792   \n",
       "\n",
       "                                 critical05  \n",
       "Nota Matemática Nota Física        2.048407  \n",
       "                Nota Literatura    2.048407  \n",
       "Nota Física     Nota Literatura    2.048407  "
      ]
     },
     "execution_count": 37,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(\n",
    "    pd.DataFrame(index=pd.MultiIndex.from_tuples(col_comb))\n",
    "    .assign(\n",
    "        covar=unstack_filt_corrp(matrix=pd.DataFrame.cov),\n",
    "        pearson=unstack_filt_corrp(matrix=pd.DataFrame.corr),\n",
    "        r_pvalue=unstack_filt_corrp(matrix=partial(pd.DataFrame.corr, method=corr_pvalue)),\n",
    "        ttest=lambda df: ttest_corr(r=df.pearson, n=30),\n",
    "        critical05=lambda df: stats.t.isf(0.05/2, 28),\n",
    "    )\n",
    ")"
   ]
  }
 ],
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