{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# _Lounge_ das Representações Visuais\n",
"\n",
"Neste capítulo, faremos uma aproximação às diversas classes de representações visuais disponíveis em visualização de dados sem explorar ainda as tecnicalidades de construção gráfica, parcela que será coberta no próximo módulo do curso. O nome _lounge_ é sugestivo, pois será onde teremos um encontro casual com diversas espécies de _plots_ que são cotidianamente aplicados para representar dados econômicos, científicos, sociais, industriais, entre outros. \n",
"\n",
"O propósito será compreender a finalidade e a aplicabilidade dos _plots_. Organizaremos nosso _lounge_ nos seguintes grupos de visualização:\n",
"\n",
"- quantidades;\n",
"- distribuições;\n",
"- proporções;\n",
"- correlações;\n",
"- dados geoespaciais; e\n",
"- incertezas."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## _Plots_ para visualizar quantidades\n",
"\n",
"_Plots_ para quantidades são naturalmente ligados a valores numéricos associados a algumas categorias. Neste grupo encontram-se os seguintes gráficos: \n",
"\n",
"- **barras**, simples, empilhadas (_stacked_) ou agrupadas (_grouped_), dispostas horizontal ou verticalmente; \n",
"- **pontos**, uma versão simplificada dos gráficos de barras;\n",
"- **mapas de calor** (_heatmap_), que quantificam a informação pela cor;"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Barras (_bar plot_)\n",
"\n",
"Para explorar as possibilidades com gráficos de barras e verificar quando eles são ou não adequados, partiremos de uma fonte de dados relativos ao cinema. Os _dataframes_ a seguir registram as 10 maiores bilheterias do cinema nos Estados Unidos e no Brasil, em milhões de dólares, de acordo com o website [Box Office Mojo](https://www.boxofficemojo.com). Os títulos aparecem conforme veiculados no Brasil."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"tags": [
"remove-input"
]
},
"outputs": [
{
"data": {
"text/html": [
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\n",
"\n",
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" \n",
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\n",
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Filme
\n",
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Bilheteria (M US$)
\n",
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\n",
" \n",
" \n",
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0
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"
Top Gun: Maverick
\n",
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718.3
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"
\n",
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\n",
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1
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Pantera Negra: Wakanda para Sempre
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436.5
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"
\n",
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2
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Doutor Estranho no Multiverso da Loucura
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411.3
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3
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Avatar: O Caminho da Água
\n",
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401.0
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\n",
"
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4
\n",
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Jurassic World: Domínio
\n",
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376.8
\n",
"
\n",
"
\n",
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5
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"
Minions 2: A Origem de Gru
\n",
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369.6
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\n",
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\n",
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6
\n",
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Batman
\n",
"
369.3
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"
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\n",
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7
\n",
"
Thor: Amor e Trovão
\n",
"
343.2
\n",
"
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"
\n",
"
8
\n",
"
Homem Aranha: Sem Volta para Casa
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231.8
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"
\n",
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\n",
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9
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Sonic 2: O Filme
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190.8
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" \n",
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"
],
"text/plain": [
" Filme Bilheteria (M US$)\n",
"0 Top Gun: Maverick 718.3\n",
"1 Pantera Negra: Wakanda para Sempre 436.5\n",
"2 Doutor Estranho no Multiverso da Loucura 411.3\n",
"3 Avatar: O Caminho da Água 401.0\n",
"4 Jurassic World: Domínio 376.8\n",
"5 Minions 2: A Origem de Gru 369.6\n",
"6 Batman 369.3\n",
"7 Thor: Amor e Trovão 343.2\n",
"8 Homem Aranha: Sem Volta para Casa 231.8\n",
"9 Sonic 2: O Filme 190.8"
]
},
"execution_count": 1,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"import pandas as pd\n",
"\n",
"df_us = pd.read_csv('../data/top10-bilheteria-cinema-2022-us.csv')\n",
"df_br = pd.read_csv('../data/top10-bilheteria-cinema-2022-br.csv')\n",
"df_us"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"tags": [
"remove-input"
]
},
"outputs": [
{
"data": {
"text/html": [
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\n",
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" \n",
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Filme
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Bilheteria (M US$)
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" \n",
" \n",
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0
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Homem Aranha: Sem Volta para Casa
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56.4
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1
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Doutor Estranho no Multiverso da Loucura
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33.7
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2
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Avatar: O Caminho da Água
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31.4
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3
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Thor: Amor e Trovão
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23.1
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4
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Minions 2: A Origem de Gru
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22.8
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5
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Batman
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22.7
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6
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Top Gun: Maverick
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22.2
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"
\n",
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\n",
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7
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"
Pantera Negra: Wakanda para Sempre
\n",
"
21.2
\n",
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8
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Jurassic World: Domínio
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15.4
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9
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Adão Negro
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15.3
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],
"text/plain": [
" Filme Bilheteria (M US$)\n",
"0 Homem Aranha: Sem Volta para Casa 56.4\n",
"1 Doutor Estranho no Multiverso da Loucura 33.7\n",
"2 Avatar: O Caminho da Água 31.4\n",
"3 Thor: Amor e Trovão 23.1\n",
"4 Minions 2: A Origem de Gru 22.8\n",
"5 Batman 22.7\n",
"6 Top Gun: Maverick 22.2\n",
"7 Pantera Negra: Wakanda para Sempre 21.2\n",
"8 Jurassic World: Domínio 15.4\n",
"9 Adão Negro 15.3"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df_br"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Barras simples (_bar plot_)\n",
"\n",
"A maneira mais direta de comparar esses números é plotando um gráfico de barras. Vamos testar a disposição vertical."
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"tags": [
"remove-input"
]
},
"outputs": [
{
"data": {
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",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import matplotlib.pyplot as plt\n",
"import seaborn as sb\n",
"\n",
"fig, ax = plt.subplots(1,2,figsize=(12,3),constrained_layout=True)\n",
"g1 = sb.barplot(data=df_us,x='Filme',y='Bilheteria (M US$)',hue=None,errorbar=None,orient='v',ax=ax[0])\n",
"g2 = sb.barplot(data=df_br,x='Filme',y='Bilheteria (M US$)',hue=None,errorbar=None,orient='v',ax=ax[1])\n",
"\n",
"g1.set_title('Top 10 do cinema 2022 - EUA')\n",
"g2.set_title('Top 10 do cinema 2022 - Brasil');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Porém, a pergunta é: quais são os filmes?! Como vemos, a identificação dos nomes dos filmes está prejudicada porque são legendas longas. Vamos testar com rotação."
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"tags": [
"remove-input"
]
},
"outputs": [
{
"data": {
"image/png": 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4+PAhfvnlF5X2yMhIODk5oVmzZsX+bJ06dVC9enVs3LgRQghl+40bN3D06FGVvppu+4tatmwJGxsbLFmyROVztKlbt244f/483N3d0aRJk0KLtgq25wXFy9/6LV26VO33WLNmDT766CP069cPK1asKPaS+nfeeQf79u1TedJPVlYWfv31VwQFBakU6HFxcWjXrh1q1qyJPXv2wNbWttjP//rrrxEWFoYvv/wSU6dOVTu3lZVVob/X59/ella7du2QmZmJXbt2FVq3adMmGBgYKCeBLSgoQGRkJNzd3bF///5Cy9ixY3H79m38+eefWslGREQlx9qJtRNrJ+3UTs8Hqop6OuTLivo7F0Jg+fLlr/yZBg0aYMGCBahcuTJOnz5dopxE2sIru4jK0IABA/Djjz8iJCQEycnJ8PX1xeHDhxEeHo4uXbqgXbt2Kv2rVKmCNm3aYMqUKconCl26dEmtR2hfvHhRed98WloaHj16pLyCxdvbG97e3gCAzp07o3379vj000+RmZkJDw8PbNy4Ebt27cL69etfeWWLgYEBvv76a3z00Ud455138PHHH+PBgwcICwsrdHm+ptv+IktLS8ybNw8fffQR2rVrh48//hgODg64evUqzp49ix9++OG1fx+vM336dOzZswctW7bEyJEjUadOHTx+/BjJycnYuXMnlixZopUiuWXLlrC1tcXQoUMxdepUVKpUCT/99BPOnj2r1s9v3rwZgwcPRsOGDTFkyBCcPHlSZb2/v7+yMBk3bhzWrVuHrl27Yvr06TAxMcHs2bPx+PFjhIWFKX8mMTFR+fc/c+ZMXLlyRWXOKnd3d+U3xPPmzcNXX32FTp06oWvXrjh+/LjK5zdv3lzjv5PXSUlJKfQ5wLNvrd3d3QEAffv2xaJFi9C7d29MnDgRTZs2RU5ODnbu3Inly5djxIgRym9j//zzT9y6dQvffPMNAgMDC72vj48PfvjhB6xcuRLdunXT+vYQEZH6WDuxdmLtpLkXa6fs7GwcO3YMs2bNgouLC3r16vXan2/fvj2MjY3xwQcfYPz48Xj8+DEWL16M+/fvq/T7/fffsWjRIvTs2RNubm4QQuDXX3/FgwcP0L59e61vF5FGyn5OfKKK4+UnCgkhxN27d8XQoUNF9erVhZGRkXBxcRGTJk0Sjx8/VukHQAwfPlwsWrRIuLu7i0qVKom6deuKn376Sa3Pfv50naKWl59Kl5WVJUaOHCkcHR2FsbGx8PPzExs3blR7O1esWCE8PT2FsbGx8PLyEqtWrRIhISGFnmKk7rYXZ+fOnSIgIEBYWFgIc3Nz4e3tLb755ptC2/wiFxcX0bVr10LvFRAQIAICAlTa/vvvPzFy5Ejh6uoqKlWqJOzs7ETjxo3F5MmTxcOHD4UQ//f0mLlz56r87P79+wUAsXnzZpX21atXCwAiJiZG2Xb06FHRokULYW5uLqpWrSo++ugjcfr0abWeShMSEvLKJxQmJSWp9L969aro2bOnsLa2Fubm5qJt27YiNja2yIzFLS9mCggIeGVfbXrd0xj79u2r0j8zM1OMHz9euS+am5uLJk2aiCVLlqg8iapnz57C2NhYpKenF/vZffr0EUZGRipP9CIiIt1j7eRSom0vDmsn1k6mpqbCy8tLhIaGitu3b6v0L+7fWgghduzYIRo0aCBMTU1FjRo1xOeffy7+/PNPAUDs379fCCHEpUuXxAcffCDc3d2FmZmZsLGxEW+88YZYs2ZNoc/h0xiprCmE0NF1rURUKgqFAsOHD9fKN29EREREcsfaiYiInuOcXUREREREREREJBsc7CIiIiIiIiIiItngbYxERERERERERCQbvLKLiIiIiIiIiIhkg4NdREREREREREQkGxzsIiIiIiIiIiIi2TCSOkB58PTpU9y6dQtWVlZQKBRSxyEiIiIZEUIgKysLTk5OMDCQ9/eMrKmIiIhIl9StqzjYBeDWrVtwdnaWOgYRERHJWGpqKmrWrCl1DJ1iTUVERERl4XV1FQe7AFhZWQF49pdlbW0tcRoiIiKSk8zMTDg7OyvrDTljTUVERES6pG5dxcEuQHmZvbW1NQszIiIi0omKcFsfayoiIiIqC6+rq+Q9cQQREREREREREVUoHOwiIiIiIiIiIiLZ4GAXERERERERERHJBge7iIiIiIiIiIhINjjYRUREREREREREssHBLiIiIiIiIiIikg0OdhERERERERERkWxwsIuIiIiIiIiIiGTDSOoA5Vnjz9dKHUFtsXMHSB2BiIiIqFisq4iIiKis8MouIiIiIiIiIiKSDQ52ERERERERERGRbEg62FW7dm0oFIpCy/DhwwEAQgiEhYXByckJZmZmCAwMxIULF1TeIzc3FyNGjECVKlVgYWGBoKAg3Lx5U4rNISIiIiIiIiIiiUk62BUTE4Pbt28rlz179gAA3nvvPQDAnDlzMH/+fPzwww+IiYmBo6Mj2rdvj6ysLOV7hIaGYuvWrYiKisLhw4fx8OFDdOvWDQUFBZJsExERERERERERSUfSwa6qVavC0dFRufz+++9wd3dHQEAAhBCIiIjA5MmT0atXL/j4+CAyMhKPHj3Chg0bAAAZGRlYuXIl5s2bh3bt2sHf3x/r169HfHw89u7dK+WmERERERERERGRBMrNnF15eXlYv349Bg0aBIVCgaSkJKSlpaFDhw7KPiYmJggICMDRo0cBALGxsXjy5IlKHycnJ/j4+Cj7FCU3NxeZmZkqCxERERERERER6b9yM9i1bds2PHjwAAMHDgQApKWlAQAcHBxU+jk4OCjXpaWlwdjYGLa2tsX2KcqsWbNgY2OjXJydnbW4JUREREREREREJJVyM9i1cuVKdO7cGU5OTirtCoVC5bUQolDby17XZ9KkScjIyFAuqampJQ9ORERERERERETlRrkY7Lpx4wb27t2Ljz76SNnm6OgIAIWu0EpPT1de7eXo6Ii8vDzcv3+/2D5FMTExgbW1tcpCRERERERERET6r1wMdq1evRrVqlVD165dlW2urq5wdHRUPqEReDavV3R0NFq2bAkAaNy4MSpVqqTS5/bt2zh//ryyDxERERERERERVRxGUgd4+vQpVq9ejZCQEBgZ/V8chUKB0NBQhIeHw9PTE56enggPD4e5uTmCg4MBADY2Nhg8eDDGjh0Le3t72NnZYdy4cfD19UW7du2k2iQiIiIiIiIiIpKI5INde/fuRUpKCgYNGlRo3fjx45GTk4Nhw4bh/v37aNasGXbv3g0rKytlnwULFsDIyAi9e/dGTk4O2rZtizVr1sDQ0LAsN4OIiIiIiIiIiMoByQe7OnToACFEkesUCgXCwsIQFhZW7M+bmppi4cKFWLhwoY4SEhERERERERGRvigXc3YRERERERERERFpAwe7iIiIiIiIiIhINjjYRUREREREREREssHBLiIiIiIiIiIikg0OdhERERERERERkWxwsIuIiIiIiIiIiGSDg11ERERERERERCQbHOwiIiIiIiIiIiLZ4GAXERERERERERHJBge7iIiIiCqAsLAwKBQKlcXR0VG5XgiBsLAwODk5wczMDIGBgbhw4YKEiYmIiIhKhoNdRERERBVE/fr1cfv2beUSHx+vXDdnzhzMnz8fP/zwA2JiYuDo6Ij27dsjKytLwsREREREmuNgFxEREVEFYWRkBEdHR+VStWpVAM+u6oqIiMDkyZPRq1cv+Pj4IDIyEo8ePcKGDRskTk1ERESkGQ52EREREVUQV65cgZOTE1xdXdGnTx9cv34dAJCUlIS0tDR06NBB2dfExAQBAQE4evRose+Xm5uLzMxMlYWIiIhIahzsIiIiIqoAmjVrhrVr1+Kvv/7C8uXLkZaWhpYtW+Lu3btIS0sDADg4OKj8jIODg3JdUWbNmgUbGxvl4uzsrNNtICIiIlIHB7uIiIiIKoDOnTvj3Xffha+vL9q1a4c//vgDABAZGanso1AoVH5GCFGo7UWTJk1CRkaGcklNTdVNeCIiIiINcLCLiIiIqAKysLCAr68vrly5onwq48tXcaWnpxe62utFJiYmsLa2VlmIiIiIpMbBLiIiIqIKKDc3FwkJCahevTpcXV3h6OiIPXv2KNfn5eUhOjoaLVu2lDAlERERkeaMpA5ARERERLo3btw4dO/eHbVq1UJ6ejpmzJiBzMxMhISEQKFQIDQ0FOHh4fD09ISnpyfCw8Nhbm6O4OBgqaMTERERaYSDXUREREQVwM2bN/HBBx/gzp07qFq1Kpo3b47jx4/DxcUFADB+/Hjk5ORg2LBhuH//Ppo1a4bdu3fDyspK4uREREREmuFgFxEREVEFEBUV9cr1CoUCYWFhCAsLK5tARERERDrCObuIiIiIiIiIiEg2ONhFRERERERERESyIflg1z///IN+/frB3t4e5ubmaNiwIWJjY5XrhRAICwuDk5MTzMzMEBgYiAsXLqi8R25uLkaMGIEqVarAwsICQUFBuHnzZllvChERERERERERSUzSwa779+/jzTffRKVKlfDnn3/i4sWLmDdvHipXrqzsM2fOHMyfPx8//PADYmJi4OjoiPbt2yMrK0vZJzQ0FFu3bkVUVBQOHz6Mhw8folu3bigoKJBgq4iIiIiIiIiISCqSTlD/zTffwNnZGatXr1a21a5dW/lnIQQiIiIwefJk9OrVCwAQGRkJBwcHbNiwAUOGDEFGRgZWrlyJdevWoV27dgCA9evXw9nZGXv37kXHjh0LfW5ubi5yc3OVrzMzM3W0hUREREREREREVJYkvbJr+/btaNKkCd577z1Uq1YN/v7+WL58uXJ9UlIS0tLS0KFDB2WbiYkJAgICcPToUQBAbGwsnjx5otLHyckJPj4+yj4vmzVrFmxsbJSLs7OzjraQiIiIiIiIiIjKkqSDXdevX8fixYvh6emJv/76C0OHDsXIkSOxdu1aAEBaWhoAwMHBQeXnHBwclOvS0tJgbGwMW1vbYvu8bNKkScjIyFAuqamp2t40IiIiIiIiIiKSgKS3MT59+hRNmjRBeHg4AMDf3x8XLlzA4sWLMWDAAGU/hUKh8nNCiEJtL3tVHxMTE5iYmJQyPRERERERERERlTeSXtlVvXp1eHt7q7TVq1cPKSkpAABHR0cAKHSFVnp6uvJqL0dHR+Tl5eH+/fvF9iEiIiIiIiIioopB0sGuN998E4mJiSptly9fhouLCwDA1dUVjo6O2LNnj3J9Xl4eoqOj0bJlSwBA48aNUalSJZU+t2/fxvnz55V9iIiIiIiIiIioYpD0NsbRo0ejZcuWCA8PR+/evXHy5EksW7YMy5YtA/Ds9sXQ0FCEh4fD09MTnp6eCA8Ph7m5OYKDgwEANjY2GDx4MMaOHQt7e3vY2dlh3Lhx8PX1VT6dkYiIiIiIiIiIKgZJB7uaNm2KrVu3YtKkSZg+fTpcXV0RERGBvn37KvuMHz8eOTk5GDZsGO7fv49mzZph9+7dsLKyUvZZsGABjIyM0Lt3b+Tk5KBt27ZYs2YNDA0NpdgsIiIiIiIiIiKSiEIIIaQOIbXMzEzY2NggIyMD1tbWyvbGn6+VMJVmYucOeH0nIiIiKnPF1Rly9KptZV1FREREpaVuXSXpnF1ERERERERERETaxMEuIiIiIiIiIiKSDQ52ERERERERERGRbHCwi4iIiIiIiIiIZIODXUREREREREREJBtGJfmhJ0+eIC0tDY8ePULVqlVhZ2en7VxEREREBNZdRERERJpS+8quhw8fYunSpQgMDISNjQ1q164Nb29vVK1aFS4uLvj4448RExOjy6xEREREFQLrLiIiIqKSU2uwa8GCBahduzaWL1+ONm3a4Ndff0VcXBwSExNx7NgxTJ06Ffn5+Wjfvj06deqEK1eu6Do3ERERkSyx7iIiIiIqHbVuYzx69Cj2798PX1/fIte/8cYbGDRoEJYsWYKVK1ciOjoanp6eWg1KREREVBGw7iIiIiIqHbUGuzZv3qzWm5mYmGDYsGGlCkRERERUkbHuIiIiIiodPo2RiIiIiIiIiIhkQ6PBrvT0dNy8eVP5Oj8/H19++SUCAgIwduxYPHr0SOsBiYiIiCoi1l1EREREJaPRYNcnn3yCyMhI5eu5c+di+fLlaNq0KbZv347Ro0drPSARERFRRcS6i4iIiKhkNBrsOnv2LFq3bq18vW7dOnz//ff49ttvERUVhR07dmg9IBEREVFFxLqLiIiIqGTUmqD+ww8/BADcunUL8+fPx/Lly5GXl4fExERs3boVf/31F54+fYr09HQMGjQIALBq1SrdpSYiIiKSKdZdRERERKWj1mDX6tWrAQAHDx7E4MGD0blzZ/z888+Ij49HVFQUAODu3bvYvn07iy0iIiKiUmDdRURERFQ6ag12Pde1a1cMHjwY3bt3x7Zt2zB+/HjlupMnT8Lb21vrAYmIiIgqItZdRERERCWj0WDXnDlzYGNjg7i4OIwePVplYtQTJ05g6NChWg9IREREVBGx7iIiIiIqGY0Gu0xNTfH1118XuS4sLEwbeYiIiIgIuq+7Zs2ahS+++AKjRo1CREQEAEAIgWnTpmHZsmW4f/8+mjVrhh9//BH169cv9ecRERERlRWNnsZYlOjoaOzcuRP379/XRh4iIiIiKoa26q6YmBgsW7YMfn5+Ku1z5szB/Pnz8cMPPyAmJgaOjo5o3749srKySvV5RERERGVJ7cGuuXPnYurUqcrXQgh06tQJrVu3Rrdu3VCvXj1cuHBBJyGJiIiIKhJd1l0PHz5E3759sXz5ctja2qp8RkREBCZPnoxevXrBx8cHkZGRePToETZs2FDqbSIiIiIqK2oPdm3cuFFlItQtW7bg4MGDOHToEO7cuYMmTZpg2rRpOglJREREVJHosu4aPnw4unbtinbt2qm0JyUlIS0tDR06dFC2mZiYICAgAEePHi3yvXJzc5GZmamyEBEREUlN7cGupKQklUvdd+7ciXfffRdvvvkm7Ozs8OWXX+LYsWMafXhYWBgUCoXK4ujoqFwvhEBYWBicnJxgZmaGwMDAQt9i5ubmYsSIEahSpQosLCwQFBSEmzdvapSDiIiIqDzRRd0FAFFRUTh9+jRmzZpVaF1aWhoAwMHBQaXdwcFBue5ls2bNgo2NjXJxdnbWOBMRERGRtqk92PXkyROYmJgoXx87dgwtW7ZUvnZycsKdO3c0DlC/fn3cvn1bucTHxyvXqTNvRGhoKLZu3YqoqCgcPnwYDx8+RLdu3VBQUKBxFiIiIqLyQBd1V2pqKkaNGoX169fD1NS02H4KhULltRCiUNtzkyZNQkZGhnJJTU3VKBMRERGRLqg92OXh4YGDBw8CAFJSUnD58mUEBAQo19+8eRP29vYaBzAyMoKjo6NyqVq1KgD15o3IyMjAypUrMW/ePLRr1w7+/v5Yv3494uPjsXfv3mI/k5fcExERUXmmi7orNjYW6enpaNy4MYyMjGBkZITo6Gh8//33MDIyUl7R9fJVXOnp6YWu9nrOxMQE1tbWKgsRERGR1NQe7Pr000/x2WefYfDgwejcuTNatGihMpfEvn374O/vr3GAK1euwMnJCa6urujTpw+uX78OQL15I2JjY/HkyROVPk5OTvDx8Sl2bgmAl9wTERFR+aaLuqtt27aIj49HXFyccmnSpAn69u2LuLg4uLm5wdHREXv27FH+TF5eHqKjo1WuKiMiIiIq74zU7ThkyBAYGRnh999/R6tWrVSeEAQAt27dwqBBgzT68GbNmmHt2rXw8vLCv//+ixkzZqBly5a4cOHCK+eNuHHjBoBn3zwaGxurPEnoeZ/i5pYAnl1yP2bMGOXrzMxMDngRERFRuaGLusvKygo+Pj4qbRYWFrC3t1e2h4aGIjw8HJ6envD09ER4eDjMzc0RHBxcug0iIiIiKkNqD3YBwODBgzF48OAi1y1atEjjD+/cubPyz76+vmjRogXc3d0RGRmJ5s2bA9Bs3gh1+5iYmKjMg0FERERU3mi77lLH+PHjkZOTg2HDhuH+/fto1qwZdu/eDSsrK518HhEREZEuqD3YlZKSUmT781sBtcHCwgK+vr64cuUKevbsCeDZ1VvVq1dX9nlx3ghHR0fk5eXh/v37Kld3paen83J7IiIi0ltlUXcBwIEDB1ReKxQKhIWFISwsTGufQURERFTW1J6zq3bt2nB1dS202NnZwdHREfPnzy91mNzcXCQkJKB69epwdXV97bwRjRs3RqVKlVT63L59G+fPn+dgFxEREemtsqi7iIiIiORK7Su7zpw5U2T7gwcPcPLkScycORPm5uYYOnSo2h8+btw4dO/eHbVq1UJ6ejpmzJiBzMxMhISEQKFQvHbeCBsbGwwePBhjx46Fvb097OzsMG7cOPj6+qJdu3Zq5yAiIiIqT3RRdxERERFVFGoPdjVo0KDYdQEBAahevTq+/fZbjYqumzdv4oMPPsCdO3dQtWpVNG/eHMePH4eLiwsA9eaNWLBgAYyMjNC7d2/k5OSgbdu2WLNmDQwNDdXOQURERFSe6KLuIiIiIqooNJqg/lVatmyJ69eva/QzUVFRr1yvzrwRpqamWLhwIRYuXKjRZxMRERHpq5LUXUREREQVhdpzdr3O/fv3UblyZW29HREREREVg3UXERERUfG0MtiVl5eHOXPmoHnz5tp4OyIiIiIqBusuIiIioldT+zbGXr16FdmekZGB8+fPw8jICIcOHdJaMCIiIqKKinUXERERUcmpPdhlY2NTZLuzszP+97//oW/fvrC2ttZaMCIiIqKKinUXERERUcmpPdi1evVqXeYgIiIiov+PdRcRERFRyWltgnoiIiIiIiIiIiKpcbCLiIiIiIiIiIhkg4NdREREREREREQkGxzsIiIiIiIiIiIi2eBgFxERERERERERyYbaT2Ncu3atWv0GDBhQ4jBERERExLqLiIiIqDTUHuwaOHAgLC0tYWRkBCFEkX0UCgWLLiIiIqJSYt1FREREVHJqD3bVq1cP//77L/r164dBgwbBz89Pl7mIiIiIKizWXUREREQlp/Zg14ULF3DixAmsWrUKrVq1goeHBwYPHoy+ffvC2tpalxlJy1Km+0odQW21voqXOgIREVGZY91FREREVHIaTVDfrFkzLF26FLdv38bIkSOxadMmVK9eHX379kVubq6uMhIRERFVOKy7iIiIiEqmRE9jNDMzw4ABAzBt2jS88cYbiIqKwqNHj7SdjYiIiKjCY91FREREpBm1b2N87p9//kFkZCRWr16N7Oxs9OvXD4sXL4atra0u8hERERFVWKy7yj9OD0FERFT+qD3YtWnTJqxevRrR0dHo2LEj5s2bh65du8LQ0FCX+YiIiIgqHNZdRERERCWn9mBXnz59UKtWLYwePRoODg5ITk7Gjz/+WKjfyJEjtRqQiIiIqKJh3UVERERUcmoPdtWqVQsKhQIbNmwoto9CoWDRRURERFRKrLuIiIiISk7twa7k5GQdxiAiIiKi51h3EREREZVciZ7GqAuzZs2CQqFAaGiosk0IgbCwMDg5OcHMzAyBgYG4cOGCys/l5uZixIgRqFKlCiwsLBAUFISbN2+WcXoiIiIiIiIiIioP1LqyKyoqCn369FHrDVNTU5GSkoI333xT7RAxMTFYtmwZ/Pz8VNrnzJmD+fPnY82aNfDy8sKMGTPQvn17JCYmwsrKCgAQGhqKHTt2ICoqCvb29hg7diy6deuG2NhYTuJawby5UP19TmpHRhyROgIREZVTuq67iIiIiOROrSu7Fi9ejLp16+Kbb75BQkJCofUZGRnYuXMngoOD0bhxY9y7d0/tAA8fPkTfvn2xfPlylcdoCyEQERGByZMno1evXvDx8UFkZCQePXqknL8iIyMDK1euxLx589CuXTv4+/tj/fr1iI+Px969e9XOQERERFRe6LLuIiIiIqoI1Brsio6Oxrfffot9+/bBx8cH1tbW8PT0hK+vL2rWrAl7e3sMHjwYtWvXxvnz59G9e3e1AwwfPhxdu3ZFu3btVNqTkpKQlpaGDh06KNtMTEwQEBCAo0ePAgBiY2Px5MkTlT5OTk7w8fFR9ilKbm4uMjMzVRYiIiKi8kCXdRcRERFRRaD2BPXdunVDt27dcPfuXRw+fBjJycnIyclBlSpV4O/vD39/fxgYaDYFWFRUFE6fPo2YmJhC69LS0gAADg4OKu0ODg64ceOGso+xsbHKFWHP+zz/+aLMmjUL06ZN0ygrkVSiWwVIHUFtAQejpY5ARCQLuqi7iNTFqSGIiEjfqT3Y9Zy9vT169OhR6g9OTU3FqFGjsHv3bpiamhbbT6FQqLwWQhRqe9nr+kyaNAljxoxRvs7MzISzs7OayYmIiIjKhrbqLiIiIqKKRLKvBGNjY5Geno7GjRvDyMgIRkZGiI6Oxvfffw8jIyPlFV0vX6GVnp6uXOfo6Ii8vDzcv3+/2D5FMTExgbW1tcpCREREJGeLFy+Gn5+fsvZp0aIF/vzzT+V6dZ6CTURERKQPJBvsatu2LeLj4xEXF6dcmjRpgr59+yIuLg5ubm5wdHTEnj17lD+Tl5eH6OhotGzZEgDQuHFjVKpUSaXP7du3cf78eWUfIiIiIgJq1qyJ2bNn49SpUzh16hTatGmDHj16KAe0nj8F+4cffkBMTAwcHR3Rvn17ZGVlSZyciIiISDMa38aoLVZWVvDx8VFps7CwgL29vbI9NDQU4eHh8PT0hKenJ8LDw2Fubo7g4GAAgI2NDQYPHoyxY8fC3t4ednZ2GDduHHx9fQtNeE9ERERUkb08kf3MmTOxePFiHD9+HN7e3ipPwQaAyMhIODg4YMOGDRgyZIgUkYmIiIhKRLLBLnWMHz8eOTk5GDZsGO7fv49mzZph9+7dsLKyUvZZsGABjIyM0Lt3b+Tk5KBt27ZYs2YNDA0NJUxOREREVH4VFBRg8+bNyM7ORosWLV77FOziBrtyc3ORm5urfM0nXBMREVF5UK4Guw4cOKDyWqFQICwsDGFhYcX+jKmpKRYuXIiFCxfqNhwRERGRnouPj0eLFi3w+PFjWFpaYuvWrfD29sbRo0cBvPop2EXhE66JiIioPCrRYNfNmzexfft2pKSkIC8vT2Xd/PnztRKMiIiIiLRbd9WpUwdxcXF48OABfvnlF4SEhCA6Olq5XtOnYPMJ10RERFQeaTzY9ffffyMoKAiurq5ITEyEj48PkpOTIYRAo0aNdJGRiGToh7E7pI6gts/mdX99JyIiHdB23WVsbAwPDw8AQJMmTRATE4PvvvsOEyZMAPDsKdjVq1dX9lfnCdcmJiYa5yAiIiLSJY2fxjhp0iSMHTsW58+fh6mpKX755RekpqYiICAA7733ni4yEhEREVVIuq67hBDIzc2Fq6vra5+CTURERKQvNL6yKyEhARs3bnz2w0ZGyMnJgaWlJaZPn44ePXrg008/1XpIIiJ9MLPf/6SOoJHJ67eo1S9h5j4dJ9GeepPbSB2BSKu0WXd98cUX6Ny5M5ydnZGVlYWoqCgcOHAAu3btgkKheO1TsImIiIj0hcaDXRYWFsqn7jg5OeHatWuoX78+AODOnTvaTUdERERUgWmz7vr333/Rv39/3L59GzY2NvDz88OuXbvQvn17AOo9BZuIiIhIH2g82NW8eXMcOXIE3t7e6Nq1K8aOHYv4+Hj8+uuvaN68uS4yEhEREVVI2qy7Vq5c+cr16jwFm4iIiEgfaDzYNX/+fDx8+BAAEBYWhocPH+Lnn3+Gh4cHFixYoPWARERERBUV6y4iIiIizWk82OXm5qb8s7m5ORYtWqTVQERERET0DOsuIiIiIs1p/DRGIiIiIiIiIiKi8kqtK7vs7Oxw+fJlVKlSBba2tlAoFMX2vXfvntbCEREREVU0rLuIiIiISketwa4FCxYon8QTERGhyzxEREREFRrrLiIiIqLSUWuwKyQkBACQn58PAOjYsSMcHR11l4qIiIiogmLdRURERFQ6Gk1Qb2RkhE8//RQJCQm6ykNERFQmwsLCpI6gNn3KStrDuouIiIioZDSeoL5Zs2Y4c+aMLrIQERER0QtYdxERERFpTqMruwBg2LBhGDt2LG7evInGjRvDwsJCZb2fn5/WwhERERFVZKy7iIiIiDSn8WDX+++/DwAYOXKksk2hUEAIAYVCgYKCAu2lIyIiIqrAWHcRERERaU7jwa6kpCRd5CAiIiKil7DuIiIiItKcxoNdLi4uushBRERERC9h3UVERESkOY0nqAeAdevW4c0334STkxNu3LgBAIiIiMBvv/2m1XBEREREFR3rLiIiIiLNaDzYtXjxYowZMwZdunTBgwcPlHNFVK5cGREREdrOR0RERFRhse4iIiIi0pzGg10LFy7E8uXLMXnyZBgaGirbmzRpgvj4eK2GIyIiIqrIWHcRERERaU7jwa6kpCT4+/sXajcxMUF2drZWQhERERER6y4iIiKiktB4sMvV1RVxcXGF2v/88094e3tr9F6LFy+Gn58frK2tYW1tjRYtWuDPP/9UrhdCICwsDE5OTjAzM0NgYCAuXLig8h65ubkYMWIEqlSpAgsLCwQFBeHmzZuabhYRERFRuaPNuouIiIiootD4aYyff/45hg8fjsePH0MIgZMnT2Ljxo2YNWsWVqxYodF71axZE7Nnz4aHhwcAIDIyEj169MCZM2dQv359zJkzB/Pnz8eaNWvg5eWFGTNmoH379khMTISVlRUAIDQ0FDt27EBUVBTs7e0xduxYdOvWDbGxsSqX+xMRERHpG23WXUREREQVhcaDXR9++CHy8/Mxfvx4PHr0CMHBwahRowa+++479OnTR6P36t69u8rrmTNnYvHixTh+/Di8vb0RERGByZMno1evXgCeDYY5ODhgw4YNGDJkCDIyMrBy5UqsW7cO7dq1AwCsX78ezs7O2Lt3Lzp27Kjp5hERERGVG9qsu4iIiIgqCo1vYwSAjz/+GDdu3EB6ejrS0tKQmpqKwYMHlypIQUEBoqKikJ2djRYtWiApKQlpaWno0KGDso+JiQkCAgJw9OhRAEBsbCyePHmi0sfJyQk+Pj7KPkXJzc1FZmamykJERERUHumi7iIiIiKSM40Hu9q0aYMHDx4AAKpUqYJq1aoBADIzM9GmTRuNA8THx8PS0hImJiYYOnQotm7dCm9vb6SlpQEAHBwcVPo7ODgo16WlpcHY2Bi2trbF9inKrFmzYGNjo1ycnZ01zk1ERESka9quu4iIiIgqAo0Huw4cOIC8vLxC7Y8fP8ahQ4c0DlCnTh3ExcXh+PHj+PTTTxESEoKLFy8q1ysUCpX+QohCbS97XZ9JkyYhIyNDuaSmpmqcm4iIiEjXtF13EREREVUEas/Zde7cOeWfL168qHLlVEFBAXbt2oUaNWpoHMDY2Fg5QX2TJk0QExOD7777DhMmTADw7Oqt6tWrK/unp6crr/ZydHREXl4e7t+/r3J1V3p6Olq2bFnsZ5qYmMDExETjrERERERlQVd1F1FFFt0qQOoIags4GC11BCIivab2YFfDhg2hUCigUCiKvGzezMwMCxcuLHUgIQRyc3Ph6uoKR0dH7NmzB/7+/gCAvLw8REdH45tvvgEANG7cGJUqVcKePXvQu3dvAMDt27dx/vx5zJkzp9RZiIiIiKRQVnUXEem/H8bukDqC2j6b1/31nYiItEDtwa6kpCQIIeDm5oaTJ0+iatWqynXGxsaoVq0aDA0NNfrwL774Ap07d4azszOysrIQFRWFAwcOYNeuXVAoFAgNDUV4eDg8PT3h6emJ8PBwmJubIzg4GABgY2ODwYMHY+zYsbC3t4ednR3GjRsHX19f5dMZiYiIiPSNLuouIiJ9MrPf/6SOoLbJ67dIHYGIXqL2YJeLiwsA4OnTp1r78H///Rf9+/fH7du3YWNjAz8/P+zatQvt27cHAIwfPx45OTkYNmwY7t+/j2bNmmH37t2wsrJSvseCBQtgZGSE3r17IycnB23btsWaNWtYABIREZHe0kXdRURERFRRqD3Y9aJ169ZhyZIlSEpKwrFjx+Di4oIFCxbAzc0NPXr0UPt9Vq5c+cr1CoUCYWFhCAsLK7aPqakpFi5cyEv5iYiISJa0VXcREZH0EmbukzqC2upN5lN/SX9p/DTGxYsXY8yYMejSpQsePHiAgoICAICtrS0iIiK0nY+IiIiowmLdRURERKQ5jQe7Fi5ciOXLl2Py5Mkqtwo2adIE8fHxWg1HREREVJGx7iIiIiLSnMaDXUlJScqnI77IxMQE2dnZWglFRERERKy7iIiIiEpC4zm7XF1dERcXp5w49bk///wT3t7eWgtGREREVNGx7iIiIn3wqnm2yxt9ykolp/GVXZ9//jmGDx+On3/+GUIInDx5EjNnzsQXX3yBzz//XBcZiYiIiCokbdZds2bNQtOmTWFlZYVq1aqhZ8+eSExMVOkjhEBYWBicnJxgZmaGwMBAXLhwQZubRERERKRzGl/Z9eGHHyI/Px/jx4/Ho0ePEBwcjBo1auC7775Dnz59dJGRiIiIqELSZt0VHR2N4cOHo2nTpsjPz8fkyZPRoUMHXLx4ERYWFgCAOXPmYP78+VizZg28vLwwY8YMtG/fHomJibCystLFJhIRERFpncaDXQDw8ccf4+OPP8adO3fw9OlTVKtWTdu5iIiIiAjaq7t27dql8nr16tWoVq0aYmNj0apVKwghEBERgcmTJ6NXr14AgMjISDg4OGDDhg0YMmRIqbeFiIiIqCxofBvji6pUqcKBLiIiIqIyoO26KyMjAwBgZ2cH4Nlk+GlpaejQoYOyj4mJCQICAnD06NEi3yM3NxeZmZkqCxEREZHUNB7s+vfff9G/f384OTnByMgIhoaGKgsRERERaYeu6i4hBMaMGYO33noLPj4+AIC0tDQAgIODg0pfBwcH5bqXzZo1CzY2NsrF2dm5xJmIiIiItEXj2xgHDhyIlJQUTJkyBdWrV4dCodBFLiIiIqIKT1d112effYZz587h8OHDhda9/BlCiGI/d9KkSRgzZozydWZmJge8iIiISHIaD3YdPnwYhw4dQsOGDXUQh4iIiIie00XdNWLECGzfvh0HDx5EzZo1le2Ojo4Anl3hVb16dWV7enp6oau9njMxMYGJiYnWshERERFpg8a3MTo7O0MIoYssRERERPQCbdZdQgh89tln+PXXX7Fv3z64urqqrHd1dYWjoyP27NmjbMvLy0N0dDRatmyplQxEREREZUHjwa6IiAhMnDgRycnJOohDRERERM9ps+4aPnw41q9fjw0bNsDKygppaWlIS0tDTk4OgGe3L4aGhiI8PBxbt27F+fPnMXDgQJibmyM4OLjUn09ERERUVtS6jdHW1lZlrobs7Gy4u7vD3NwclSpVUul779497SYkIiIiqkB0VXctXrwYABAYGKjSvnr1agwcOBAAMH78eOTk5GDYsGG4f/8+mjVrht27d8PKyqpkG0NEREQkAbUGuyIiInQcg4iIiIgA3dVd6twOqVAoEBYWhrCwMJ1kICIiIioLag12hYSE6DoHEREREYF1FxEREVFpqTXYlZmZqfYbWltblzgMERERlc6mzW9IHUFtvd87KXWEcol1FxEREVHpqDXYVblyZZW5I4oihIBCoUBBQYFWghERERFVRKy7iIiIiEpHrcGu/fv36zoHEREREYF1FxEREVFpqTXYFRAQoOscRERERATWXURERESlpdZg17lz5+Dj4wMDAwOcO3fulX39/Py0EoyIiIioImLdRURERFQ6ag12NWzYEGlpaahWrRoaNmwIhUJR5OOrOXcEERERUemw7iIiIiIqHQN1OiUlJaFq1arKP1+/fh1JSUmFluvXr2v04bNmzULTpk1hZWWFatWqoWfPnkhMTFTpI4RAWFgYnJycYGZmhsDAQFy4cEGlT25uLkaMGIEqVarAwsICQUFBuHnzpkZZiIiIiMoDXdVdRERERBWFWld2ubi4FPnn0oqOjsbw4cPRtGlT5OfnY/LkyejQoQMuXrwICwsLAMCcOXMwf/58rFmzBl5eXpgxYwbat2+PxMREWFlZAQBCQ0OxY8cOREVFwd7eHmPHjkW3bt0QGxsLQ0NDreUlIiIi0jVd1V1EREREFYVag10vunv3Luzt7QEAqampWL58OXJychAUFIS3335bo/fatWuXyuvVq1ejWrVqiI2NRatWrSCEQEREBCZPnoxevXoBACIjI+Hg4IANGzZgyJAhyMjIwMqVK7Fu3Tq0a9cOALB+/Xo4Oztj79696Nixo6abSERERFQuaLPuIiIiIqoo1LqNEQDi4+NRu3ZtVKtWDXXr1kVcXByaNm2KBQsWYNmyZWjdujW2bdtWqjAZGRkAADs7OwDPLt1PS0tDhw4dlH1MTEwQEBCAo0ePAgBiY2Px5MkTlT5OTk7w8fFR9nlZbm4uMjMzVRYiIiKi8qIs6i4iIiIiuVJ7sGv8+PHw9fVFdHQ0AgMD0a1bN3Tp0gUZGRm4f/8+hgwZgtmzZ5c4iBACY8aMwVtvvQUfHx8AQFpaGgDAwcFBpa+Dg4NyXVpaGoyNjWFra1tsn5fNmjULNjY2ysXZ2bnEuYmIiIi0Tdd1FxEREZGcqX0bY0xMDPbt2wc/Pz80bNgQy5Ytw7Bhw2Bg8Gy8bMSIEWjevHmJg3z22Wc4d+4cDh8+XGidQqFQeS2EKNT2slf1mTRpEsaMGaN8nZmZyQEvIiIiKjd0XXcRERHRq23a/IbUEdTW+72TUkcod9Qe7Lp37x4cHR0BAJaWlrCwsFDebggAtra2yMrKKlGIESNGYPv27Th48CBq1qypbH/+eWlpaahevbqyPT09XXm1l6OjI/Ly8nD//n2Vq7vS09PRsmXLIj/PxMQEJiYmJcpKREREpGu6rLuIiIio4mqw5S+pI6jt7P9KPge7RhPUv3yl1OuurnodIQRGjBiBrVu34sCBA3B1dVVZ7+rqCkdHR+zZswf+/v4AgLy8PERHR+Obb74BADRu3BiVKlXCnj170Lt3bwDA7du3cf78ecyZM6dU+YiIiKh8qCiF2Yu0XXcRERERVRQaDXYNHDhQeUXU48ePMXToUFhYWAB4Num7poYPH44NGzbgt99+g5WVlXKOLRsbG5iZmUGhUCA0NBTh4eHw9PSEp6cnwsPDYW5ujuDgYGXfwYMHY+zYsbC3t4ednR3GjRsHX19f5dMZiYiIiPSNtusuIiIioopC7cGukJAQldf9+vUr1GfAgAEaffjixYsBAIGBgSrtq1evxsCBAwE8m6A1JycHw4YNw/3799GsWTPs3r0bVlZWyv4LFiyAkZERevfujZycHLRt2xZr1qyBoaGhRnmIiIiIygNd1F1EREREFYXag12rV6/W+ocLIV7bR6FQICwsDGFhYcX2MTU1xcKFC7Fw4UItpiMiIiKShi7qLiIiIqKKwkDqAERERERERERERNrCwS4iIiIiIiIiIpINDnYREREREREREZFscLCLiIiIiIiIiIhkg4NdREREREREREQkGxzsIiIiIiIiIiIi2eBgFxERERERERERyQYHu4iIiIiIiIiISDY42EVERERERERERLLBwS4iIiIiIiIiIpINDnYREREREREREZFscLCLiIiIiIiIiIhkg4NdREREREREREQkGxzsIiIiIqoADh48iO7du8PJyQkKhQLbtm1TWS+EQFhYGJycnGBmZobAwEBcuHBBmrBEREREpcDBLiIiIqIKIDs7Gw0aNMAPP/xQ5Po5c+Zg/vz5+OGHHxATEwNHR0e0b98eWVlZZZyUiIiIqHSMpA5ARERERLrXuXNndO7cuch1QghERERg8uTJ6NWrFwAgMjISDg4O2LBhA4YMGVKWUYmIiIhKhVd2EREREVVwSUlJSEtLQ4cOHZRtJiYmCAgIwNGjR4v9udzcXGRmZqosRERERFLjYBcRERFRBZeWlgYAcHBwUGl3cHBQrivKrFmzYGNjo1ycnZ11mpOIiIhIHRzsIiIiIiIAgEKhUHkthCjU9qJJkyYhIyNDuaSmpuo6IhEREdFrcc4uIiIiogrO0dERwLMrvKpXr65sT09PL3S114tMTExgYmKi83xEREREmuCVXUREREQVnKurKxwdHbFnzx5lW15eHqKjo9GyZUsJkxERERFpjld2EREREVUADx8+xNWrV5Wvk5KSEBcXBzs7O9SqVQuhoaEIDw+Hp6cnPD09ER4eDnNzcwQHB0uYmoiIiEhzkl7ZdfDgQXTv3h1OTk5QKBTYtm2bynohBMLCwuDk5AQzMzMEBgbiwoULKn1yc3MxYsQIVKlSBRYWFggKCsLNmzfLcCuIiIiIyr9Tp07B398f/v7+AIAxY8bA398fX331FQBg/PjxCA0NxbBhw9CkSRP8888/2L17N6ysrKSMTURERKQxSQe7srOz0aBBA/zwww9Frp8zZw7mz5+PH374ATExMXB0dET79u2RlZWl7BMaGoqtW7ciKioKhw8fxsOHD9GtWzcUFBSU1WYQERERlXuBgYEQQhRa1qxZA+DZ5PRhYWG4ffs2Hj9+jOjoaPj4+EgbmoiIiKgEJL2NsXPnzujcuXOR64QQiIiIwOTJk9GrVy8AQGRkJBwcHLBhwwYMGTIEGRkZWLlyJdatW4d27doBANavXw9nZ2fs3bsXHTt2LLNtISIiIiIiIiIi6ZXbCeqTkpKQlpaGDh06KNtMTEwQEBCAo0ePAgBiY2Px5MkTlT5OTk7w8fFR9ilKbm4uMjMzVRYiIiIiIiIiItJ/5XawKy0tDQAKPe7awcFBuS4tLQ3GxsawtbUttk9RZs2aBRsbG+Xi7Oys5fRERERERERERCSFcjvY9ZxCoVB5LYQo1Pay1/WZNGkSMjIylEtqaqpWshIRERERERERkbTK7WCXo6MjABS6Qis9PV15tZejoyPy8vJw//79YvsUxcTEBNbW1ioLERERERERERHpv3I72OXq6gpHR0fs2bNH2ZaXl4fo6Gi0bNkSANC4cWNUqlRJpc/t27dx/vx5ZR8iIiIiIiIiIqo4JH0a48OHD3H16lXl66SkJMTFxcHOzg61atVCaGgowsPD4enpCU9PT4SHh8Pc3BzBwcEAABsbGwwePBhjx46Fvb097OzsMG7cOPj6+iqfzkhERERERERERBWHpINdp06dQuvWrZWvx4wZAwAICQnBmjVrMH78eOTk5GDYsGG4f/8+mjVrht27d8PKykr5MwsWLICRkRF69+6NnJwctG3bFmvWrIGhoWGZbw8REREREREREUlL0sGuwMBACCGKXa9QKBAWFoawsLBi+5iammLhwoVYuHChDhISEREREREREZE+KbdzdhEREREREREREWmKg11ERERERERERCQbHOwiIiIiIiIiIiLZ4GAXERERERERERHJBge7iIiIiIiIiIhINjjYRUREREREREREssHBLiIiIiIiIiIikg0OdhERERERERERkWxwsIuIiIiIiIiIiGSDg11ERERERERERCQbHOwiIiIiIiIiIiLZ4GAXERERERERERHJBge7iIiIiIiIiIhINjjYRUREREREREREssHBLiIiIiIiIiIikg0OdhERERERERERkWxwsIuIiIiIiIiIiGSDg11ERERERERERCQbHOwiIiIiIiIiIiLZ4GAXERERERERERHJBge7iIiIiIiIiIhINjjYRUREREREREREsiGbwa5FixbB1dUVpqamaNy4MQ4dOiR1JCIiIiK9xLqKiIiI9JksBrt+/vlnhIaGYvLkyThz5gzefvttdO7cGSkpKVJHIyIiItIrrKuIiIhI38lisGv+/PkYPHgwPvroI9SrVw8RERFwdnbG4sWLpY5GREREpFdYVxEREZG+M5I6QGnl5eUhNjYWEydOVGnv0KEDjh49WuTP5ObmIjc3V/k6IyMDAJCZmanSryA3R8tpdefl7K+S9bhAh0m0S5Ptys/J12ES7dJku7Lz5bldObmPdJhEu9TdrsdPnug4iXapu10PH2frOIn2aLIPvvh7oLzTZLsePZLnMb7gkf7uh89fCyGkiKMRTesqdWsqgHVVeaDudrGmkl5Fr6kA/aqrNNku1lXSU3e7WFNJr6jtUruuEnrun3/+EQDEkSNHVNpnzpwpvLy8ivyZqVOnCgBcuHDhwoULFy5ltqSmppZFaVQqmtZVrKm4cOHChQsXLlIsr6ur9P7KrucUCoXKayFEobbnJk2ahDFjxihfP336FPfu3YO9vX2xP6MtmZmZcHZ2RmpqKqytrXX6WWVJjtslx20CuF36htulX7hd+qMst0kIgaysLDg5Oen0c7RJ3bqKNZX2cbv0C7dLf8hxmwBul77hdpWeunWV3g92ValSBYaGhkhLS1NpT09Ph4ODQ5E/Y2JiAhMTE5W2ypUr6ypikaytrWW1cz8nx+2S4zYB3C59w+3SL9wu/VFW22RjY6Pzz9AGTesq1lS6w+3SL9wu/SHHbQK4XfqG21U66tRVej9BvbGxMRo3bow9e/aotO/ZswctW7aUKBURERGR/mFdRURERHKg91d2AcCYMWPQv39/NGnSBC1atMCyZcuQkpKCoUOHSh2NiIiISK+wriIiIiJ9J4vBrvfffx93797F9OnTcfv2bfj4+GDnzp1wcXGROlohJiYmmDp1aqFL/vWdHLdLjtsEcLv0DbdLv3C79Icct0lb9KWukuu/IbdLv3C79IcctwngdukbblfZUQihB8/BJiIiIiIiIiIiUoPez9lFRERERERERET0HAe7iIiIiIiIiIhINjjYRUREREREREREssHBLiIiIiIiIiIikg0OdunY33//Xey6H374oQyTEMmXEAJ81gZJjfuh/nj8+LHUEYhIBnjcJynw/FI/8XhR9vg0Rh2rXLky9uzZg6ZNm6q0R0RE4KuvvkJmZqZEyUpv3bp1WLJkCZKSknDs2DG4uLggIiICrq6u6NGjh9TxSiQ7OxvR0dFISUlBXl6eyrqRI0dKlEp7tmzZgk2bNhW5fadPn5YoVcmtXbsWc+fOxZUrVwAAXl5e+Pzzz9G/f3+Jk5Xc9OnTX7n+q6++KqMkpC457ofPPXr0qMjjhZ+fn0SJSu7p06eYOXMmlixZgn///ReXL1+Gm5sbpkyZgtq1a2Pw4MFSRyQ1yWm/fE7O9Yfcag9Ansd91h/6g+eX+kWOx4vnCgoKsG3bNiQkJEChUKBevXro0aMHDA0NpY72jCCdWrVqlahSpYq4cOGCsm3u3LnC2tpaHDx4UMJkpbNo0SJRpUoVMWPGDGFmZiauXbsmhBBi9erVIjAwUOJ0JXP69Gnh6OgorK2thaGhoahatapQKBTCwsJCuLq6Sh2v1L777jthaWkphg8fLoyNjcWQIUNEu3bthI2Njfjiiy+kjqexefPmCXNzczF+/Hjx22+/iW3btonPP/9cmJubi/nz50sdr8QaNmyostSvX1+Ym5sLa2tr4e/vL3U8eolc98P09HTRtWtXYWBgUOSij6ZNmybc3NzE+vXrVX5v/fzzz6J58+YSpyN1yHG/FELe9Yfcag8h5HvcZ/2hP3h+qT/kerwQQogrV64ILy8vYW5uLvz9/UXDhg2Fubm5qFOnjrh69arU8YQQzy6lIx2bO3euqFGjhkhKShKzZ88W1tbW4siRI1LHKpV69eqJrVu3CiGEsLS0VB6M4uPjhb29vYTJSi4gIEB8/PHHIj8/X7lNKSkpolWrVuKXX36ROl6p1alTR2zYsEEIofpvNmXKFDF8+HApo5VI7dq1RWRkZKH2NWvWiNq1a0uQSHcyMjLEO++8I9auXSt1lFJLTEwUS5cuFV9//bWYNm2ayqKP5LofBgcHi5YtW4qTJ08KCwsLsXv3brFu3TpRp04d8fvvv0sdr0Tc3d3F3r17hRCqx8CEhARRuXJlKaORmuS4Xwoh7/pDbrWHEPI97heF9Uf5xfNL/SDn40Xnzp1Fp06dxN27d5Vtd+7cEZ06dRJdunSRMNn/4WBXGZk4caKwt7cXlStXFsePH5c6TqmZmpqK5ORkIYTqwejy5cvC1NRUymglZmNjIy5duqT888WLF4UQQhw/flzUqVNHymhaYWZmpvw3q1q1qoiLixNCPPs3s7OzkzJaiZiYmIgrV64Uar98+bIwMTGRIJFuxcfHCxcXF6ljlMqyZcuEoaGhcHBwEA0aNFD5BllfvzWW637o6OgoTpw4IYQQwsrKSiQmJgohhPjtt9/Em2++KWW0Eivu99aFCxeEhYWFlNFITXLcL4WQd/0ht9pDCPke94vD+qP84vll+Sfn44W5ubk4d+5cofa4uLhyU1cZSX0bpRx9//33hdqqV68Oc3NztGrVCidOnMCJEycA6O88DK6uroiLi4OLi4tK+59//glvb2+JUpVOpUqVoFAoAAAODg5ISUlBvXr1YGNjg5SUFInTlZ6joyPu3r0LFxcXuLi44Pjx42jQoAGSkpL0crJEDw8PbNq0CV988YVK+88//wxPT0+JUunOgwcPkJGRIXWMUpkxYwZmzpyJCRMmSB1Fa+S6H2ZnZ6NatWoAADs7O/z333/w8vKCr6+v3s6xU79+fRw6dKjQ763NmzfD399folSkCTnul4C86w+51R6AfI/7xWH9UT7w/FI/zy/lfLwwMTFBVlZWofaHDx/C2NhYgkSFcbBLBxYsWFBku6GhIY4cOYIjR44AABQKhd4ejD7//HMMHz4cjx8/hhACJ0+exMaNGzFr1iysWLFC6ngl4u/vj1OnTsHLywutW7fGV199hTt37mDdunXw9fWVOl6ptWnTBjt27ECjRo0wePBgjB49Glu2bMGpU6fQq1cvqeNpbNq0aXj//fdx8OBBvPnmm1AoFDh8+DD+/vtvbNq0Sep4JfZyMSOEwO3bt7Fu3Tp06tRJolTacf/+fbz33ntSx9Aque6HderUQWJiImrXro2GDRti6dKlqF27NpYsWYLq1atLHa9Epk6div79++Off/7B06dP8euvvyIxMRFr167F77//LnU8UoMc90tA3vWH3GoPQL7HfdYf5RvPL/Xz/FKuxwsA6NatGz755BOsXLkSb7zxBgDgxIkTGDp0KIKCgiRO9/9JeVkZ6bdly5aJWrVqCYVCIRQKhahZs6ZYsWKF1LFKLCYmRuzbt08I8WwS3M6dOwsrKyvh7++vvOxenxUUFIgnT54oX//8889ixIgR4rvvvhO5ubkSJiu5U6dOib59+4pGjRoJf39/0bdvX3H69GmpY5VK7dq1VRY3NzfRrFkzMWnSJJGZmSl1vFIZNGiQWLx4sdQxtE6O++H69evF6tWrhRDPJs+uWrWqMDAwEKampiIqKkracKWwa9cu0apVK2FhYSHMzMzEm2++Kf766y+pY5Ga5Lpfyrn+kGPtIYQ8j/usP6g8kNv5pRDyPF4IIcT9+/dFUFCQUCgUwtjYWBgbGwsDAwPRs2dP8eDBA6njCSGEUAihp9cQk2Ty8/Px008/oWPHjnB0dMSdO3fw9OlT5a0F+kgIgZSUFFSrVg1mZmZSxyGSpVmzZmH+/Pno2rUrfH19UalSJZX1+vpNZEXw6NEjXLp0CbVq1UKVKlWkjkMEQB77JesPIt1j/VH+yfH8Us6e/+6qWrUqbt26hYSEBAgh4O3tDQ8PD6njKXGwS8f+97//oUmTJpg4caJK+9y5c3Hy5Els3rxZomSlY25ujoSEhEL3VOurp0+fwtTUFBcuXND7+6eLc/DgwVeub9WqVRklKbnMzExYW1sr//wqz/vpk/z8fJiamiIuLg4+Pj5Sx9E6V1fXYtcpFApcv369DNNoX05ODp48eaLSpo/7YVEKCgoQHx8PFxcX2NraSh2n1B4+fIinT5+qtMnl36oikcN+Kff6Qw61x6vI5bjP+kO/6g+eX5Zvcj9fAfTndxfn7NKx6OhoTJ06tVB7p06d8O2330qQSDuaNWuGM2fO6P3B6DkDAwN4enri7t275fp/2NIIDAws1PZ8Qlzg2UlDeWdra4vbt2+jWrVqqFy5skr+54QQUCgUerE9LzMyMoKLi4teZldHUlKS1BG07tGjRxg/fjw2bdqEu3fvFlqvr/+WoaGh8PX1xeDBg1FQUIBWrVrh2LFjMDc3x++//17k8aS8S0pKwmeffYYDBw7g8ePHynZ9PmZUNHLcL+Vef8ih9niZHI/7rD/0C88vyze5n68A+vO7i4NdOlbc0wgqVar02pHe8mzYsGEYO3Ysbt68icaNG8PCwkJlvZ+fn0TJSm7OnDn4/PPPsXjxYll+q3X//n2V10+ePMGZM2cwZcoUzJw5U6JUmtm3bx/s7OwAAPv375c4jW58+eWXmDRpEtavX6/cVipf6tWrh/feew/Tp0/H559/jv3792PRokUYMGAAfvzxR/zzzz9YunQpZs+eLXXUEtuyZQv69esHANixYweSk5Nx6dIlrF27FpMnT1ZOhKtP+vbtCwBYtWoVHBwciiw+qXyT434JyLv+kEPtAVSM4z7rD/3B88vyrSKcrwD68buLtzHqWNOmTdG9e3d89dVXKu1hYWHYsWMHYmNjJUpWOgYGBoXaFAqFXo9S29ra4tGjR8jPz4exsXGhuTPu3bsnUTLdOnjwIEaPHq23+6Lc+Pv74+rVq3jy5AlcXFwK/aI/ffq0RMm04+bNm9i+fTtSUlKQl5ensm7+/PkSpdJMamoq2rZti8uXL6NWrVpYu3YtAgMDYW1tjdOnT8PDwwPr1q3Dxo0bsXPnTqnjloipqSmuXr2KmjVr4pNPPoG5uTkiIiKQlJSEBg0a6GUxbWlpidjYWNSpU0fqKFRCctwvgYpZf+hb7VERjvusP/QHzy+pPNCH3128skvHpkyZgnfffRfXrl1DmzZtAAB///03Nm7cqLf3UwPyuxwYACIiIqSOIImqVasiMTFR6hgl8uDBA5w8eRLp6emF5t8ZMGCARKlKp2fPnlJH0Jm///4bQUFBcHV1RWJiInx8fJCcnAwhBBo1aiR1PLW9//77mDJlCoBnv8ifzwVibW2t/MX+1ltv4dNPP5UsY2k5ODjg4sWLqF69Onbt2oVFixYBeHb7jqGhocTpSqZp06ZITU3lYJcek+N+CVTM+kPfao+KcNxn/aE/eH6pX+R4vgLox+8uDnbpWFBQELZt24bw8HBs2bIFZmZm8PPzw969exEQECB1vBLT93upixISEiJ1BJ06d+6cymshBG7fvo3Zs2ejQYMGEqUquR07dqBv377Izs6GlZWVyi1JCoVCb395FDUHg1xMmjQJY8eOxfTp02FlZYVffvkF1apVQ9++fdGpUyep46nt3r17OHbsGPr37w83NzckJyfDxcUF3t7e2LRpE9544w3s2LEDlStXljpqiX344Yfo3bs3qlevDoVCgfbt2wMATpw4gbp160qcrmRWrFiBoUOH4p9//oGPj0+hp3Hpy+0RFZkc90tA3vWHXGqPinDcZ/2hP3h+qT/ker4C6MfvLt7GSCWWmJiIhQsXIiEhAQqFAnXr1sWIESP09lvzlJSUV66vVatWGSXRDQMDA+WlwC9q3rw5Vq1apXcnCl5eXujSpQvCw8Nhbm4udRyty8rKUvm3MjAwgKWlpYSJSs/KygpxcXFwd3eHra0tDh8+jPr16+Ps2bPo0aMHkpOTpY6oloyMDBw9ehSdO3fGggULYGhoiJEjR2L//v3o2rUrCgoKkJ+fj/nz52PUqFFSxy2xLVu2IDU1Fe+99x5q1qwJAIiMjETlypXRo0cPidNp7vjx4wgODlbZz3h7hP6R234JyLv+kEvtUVGO+wDrD5KW3M4v5Xy+UtzUAQqFAiYmJkXOK1fWONhFJbJlyxZ88MEHaNKkCVq0aAHg2YlETEwMNmzYgPfee0/ihJp7XpAVR99PhG7cuKHy2sDAAFWrVoWpqalEiUrHwsIC8fHxcHNzkzqKVsTFxWHy5Mn4448/ADwrzB49eqRcr1AocOzYMTRt2lSqiKXm6OiIffv2wdvbG/Xr18esWbMQFBSEs2fP4s0338TDhw+ljlhqKSkpOHXqFNzd3fXqqoWKwNvbG/Xq1cP48eOLnKBejt8ok36Qc/0ht9qjKPp+3Gf9IY/6Qw7keH4pt/OVF73ud1fNmjUxcOBATJ06tcj52MoCb2PUATs7O1y+fBlVqlSBra3tK3eC8jBxW0mMHz8ekyZNwvTp01Xap06digkTJujlwejMmTMqr58/MWj+/Pl69cSg4sjtRK5jx444deqUbH55LFy4EG+99ZZK27p161CjRg0IIbBq1Sp8//33WLdunUQJS6958+Y4cuQIvL290bVrV4wdOxbx8fH49ddf0bx5c6njlUhycjJq166tfF2rVi29vgrjRdnZ2YiOji5yMt+RI0dKlKrkbty4ge3bt8PDw0PqKFQKctsvAXnXH3KrPQD5HfdZf+hH/cHzS/08v5Tb+cqL1qxZg8mTJ2PgwIF44403IIRATEwMIiMj8eWXX+K///7Dt99+CxMTE3zxxReSZORglw4sWLAAVlZWAPRj4raSSEtLK/Ie4379+mHu3LkSJCq9or6Na9KkCZycnDB37lz06tVLglTa8/333xfZrlAoYGpqCg8PD7Rq1UpvJvnt2rUrPv/8c1y8eBG+vr6F5t8JCgqSKFnJHDlyBAMHDlRpa968ufKXo5mZGXr37i1BMu2ZP3++8tvTsLAwPHz4ED///DM8PDywYMECidOVjJubG1q2bIn+/fvjvffek83j2s+cOYMuXbrg0aNHyM7Ohp2dHe7cuQNzc3NUq1ZNLwcV2rRpg7Nnz3KwS4/Jcb8E5F1/yK32AOR33Gf9oR/1B88v9fP8Um7nKy+KjIzEvHnzVI4PQUFB8PX1xdKlS/H333+jVq1amDlzpmSDXRCkM0+ePBFr1qwRt2/fljqK1nXu3FmsWrWqUPuqVatEhw4dJEikO5cvXxbm5uZSxyi12rVrCwsLC6FQKISdnZ2wtbUVCoVCWFhYCAcHB6FQKIS7u7tISUmROqpaFApFsYuBgYHU8TRmbm4ukpOTla/nz58vMjIylK9v3LghTExMpIhGrxAbGyvGjRsnatasKUxMTERQUJDYtGmTePz4sdTRSiUgIEB8/PHHIj8/X1haWopr166JlJQU0apVK/HLL79IHa9Eli5dKpydncXUqVPFli1bxG+//aayUPknx/3yVeRQf8it9hBCfsd91h/6heeX+kVu5ysvMjMzE5cvXy7UfvnyZWFmZiaEEOL69evKP0uBc3bpmLm5ORISEmR3GfeSJUvw1VdfoXfv3srLf48fP47Nmzdj2rRpcHJyUvbVlxHrlyfZE///iUFhYWG4dOkS4uLipAmmJRs3bsSyZcuwYsUKuLu7AwCuXr2KIUOG4JNPPsGbb76JPn36wNHREVu2bJE4bcVjZ2eHHTt24M033yxy/ZEjR9C9e3e9vTT9ZQ8fPiz0+GVra2uJ0pSeEAIHDhzAhg0b8Msvv6CgoADvvvsuVq1aJXW0EqlcuTJOnDiBOnXqoHLlyjh27Bjq1auHEydOICQkBJcuXZI6osZeNV8EJ6jXD3LcLwF51x9yrj3kctxn/aF/9QfPL/Xn/FLOvLy80KtXL8yePVulfeLEidi6dSsSExNx6tQp9OjRA//88480ISUbZqsgAgMDxdatW6WOoXWvGqXW1xHr53lfXBQKhahVq5Y4evSo1PFKzc3NTZw5c6ZQ++nTp4Wrq6sQQogjR44IR0fHMk6mnu+++04cOnRI6hg606ZNGzFu3Lhi148ZM0a0adOmDBNp3/Xr10WXLl2Eubl5of/P9OlY8TqxsbGiYcOGer1NVapUEYmJiUIIIby8vMSuXbuEEEIkJCRI+g0dVWxy3S/lXH/oe+2hLn0+7rP+0L9/M55flt9/M7mfr7zot99+E8bGxsLPz08MHjxYfPTRR6JBgwbCxMRE7NixQwghxKJFi8To0aMly8g5u3Rs2LBhGDt2LG7evInGjRvDwsJCZb2fn59EyUrn5W9E5GDfvn0qkz0+f2KQh4cHjIz0/3+V27dvIz8/v1B7fn4+0tLSAABOTk7Iysoq62hqad68OXr37o0FCxbgnXfeKXYekOf0be6WYcOGoU+fPqhduzY+/fRT5VUoBQUFWLRoERYuXIgNGzZInLJ0+vbtCwBYtWpVkU/D02epqanYuHEjNmzYgPj4eLRo0QI//PCD1LFKzN/fH6dOnYKXlxdat26Nr776Cnfu3MG6devg6+srdTyqoOS6X8q5/tD32uNV5HLcZ/2hf3h+WX7J/XzlRUFBQUhMTMSSJUtw+fJlCCHQuXNnbNu2TfkQj08//VTSjLyNUceKum1CoVBACMHbJqhMde3aFWlpaVixYgX8/f0BPJvs9+OPP4ajoyN+//137NixA1988QXi4+MlTlu0mzdvok+fPjh8+DBcXV2L7adQKHD9+vUyTKYdEyZMwNy5c2FlZQU3NzcoFApcu3YNDx8+xJgxY/R2cs7nLC0tERsbizp16kgdRWuWLVuGn376CUeOHEGdOnXQt29fBAcHqzypSx+dOnUKWVlZaN26Nf777z+EhITg8OHD8PDwwOrVq4ucULs8el2R+SJ9LjgrCrnslxWJHGqPl8nxuM/6Q7/w/LJ8k/v5ij7hYJeO3bhx45Xr9fle65MnT+LAgQNIT08vNBI/f/58iVKV3KxZs+Dg4IBBgwaptK9atQr//fcfJkyYIFEy7UhLS0P//v3x999/K58Ekp+fj7Zt22Lt2rVwdHTE/v378eTJE3To0EHitMV78uRJoSeZyMnx48exceNGXLlyBQDg6emJDz74QG8ejf0qrVu3xuTJk9GuXTupo2iNs7Mz+vTpg759+6Jhw4ZSx6GXvKrIfBELTpKSnOsPudQeL5LrcZ/1h/7g+WX5J/fzlecOHTqEpUuX4vr169i8eTNq1KiBdevWwdXVFW+99ZbU8TjYRSUTHh6OL7/8EnXq1Cl0ObBCocC+ffskTFcytWvXxoYNG9CyZUuV9hMnTqBPnz5ISkqSKJl2JSYmIjExEUII1K1bVzbfclH5d+3aNQwdOhT9+vWDj49PoSJAHy+7f/4tqlzk5ORgz549aN26tfIR589lZmbiwIED6NixI0xMTCRKSBWR3PfLilB/yKn2kNtxvyKQY/0hR3I8v5SzX375Bf3790ffvn2xbt06XLx4EW5ubli0aBF+//137Ny5U+qIHOwqC+vWrcOSJUuQlJSEY8eOwcXFBREREXB1dUWPHj2kjlciDg4O+OabbzBw4ECpo2iNqakpEhISCl0JcP36dXh7e+Px48cSJdOt+Ph4rFy5EhEREVJH0YgQAlu2bMH+/fuL/Pbn119/lSgZFef48eMIDg5GcnKysk0Ol90/ePAAK1euREJCAhQKBerVq4fBgwfDxsZG6mga++6777B9+3b8/fffRa5v164d3nnnHQwfPryMk1FFJvf9siLWH/paezwnp+N+RSDH+oPnl/pBzucr/v7+GD16NAYMGAArKyucPXsWbm5uiIuLQ6dOnZTzMkqp+Odwk1YsXrwYY8aMQZcuXfDgwQPlwbRy5cp6+wseeHaveHGPKNZXzs7OOHLkSKH2I0eOqDzqVg4yMzOxdOlSvPHGG2jQoAEOHDggdSSNjRo1Cv3790dSUhIsLS1hY2OjslD5M2jQIPj7++PYsWO4fv06kpKSVP6rj06dOgV3d3csWLAA9+7dw507d7BgwQK4u7vj9OnTUsfT2E8//YTQ0NBi14eGhiIyMrLsApXSmDFjkJ2drfzzqxYqv+S2X76sotQfcqg9APkd9ysCudUfPL/UH3I+X0lMTESrVq0KtVtbW+PBgwdlH6goZfz0xwqnXr16ykfDWlpaimvXrgkhhIiPjxf29vYSJiudb775RowaNUrqGFo1e/ZsYW9vL1atWiWSk5NFcnKyWLlypbC3txfh4eFSx9OKAwcOiP79+ysfvTxhwgRx5coVqWOViK2trfjjjz+kjkEaMDc319v9rThvvfWWGDhwoHjy5Imy7cmTJyIkJES8/fbbEiYrmcqVK4sbN24Uu/7GjRuicuXKZZiodAIDA8X9+/eVfy5uad26tbRB6ZXktl++TO71h5xqDyHkd9yvCORWf/D8Un/I+XzFzc1N7NmzRwihuh9GRkaKevXqSRlNSb+fZ6wHkpKSlE+feZGJiYny22Z9NG7cOHTt2hXu7u7w9vYudO+7Pl6SOX78eNy7dw/Dhg1DXl4egGe3FkyYMAGTJk2SOJ369uzZg0aNGsHe3h7As8d+r169GqtWrUJ2djY++OADREdHo0WLFhgwYAA8PDwkTlwyNjY2cHNzkzoGaaBNmzY4e/as3u5zRTl16hSWL18OI6P/+3VqZGSE8ePHo0mTJhImK5n8/Hz8999/qFWrVpHr//vvP+Tn55dxqpLbv38/rl+/DhsbG+zfv1/qOFRCctsvXyaH+qOi1B6A/I77FYHc6g+eX+oPOZ+vDBkyBKNGjcKqVaugUChw69YtHDt2DOPGjcNXX30ldTwAAAe7dMzV1RVxcXGFnorx559/wtvbW6JUpTdixAjs378frVu3hr29vSwm6lQoFPjmm28wZcoUJCQkwMzMDJ6enno34W1GRgaaNWuGX375BQ0aNICrqyvee+89/Pjjj2jfvn2RjyvWR2FhYZg2bRpWrVoFMzMzqeNoVX5+Pg4cOIBr164hODgYVlZWuHXrFqytrWFpaSl1vBLr3r07Ro8ejfj4ePj6+hYqYoKCgiRKVnLW1tZISUlB3bp1VdpTU1MLTaStD+rXr4+9e/eicePGRa7fs2cP6tevX8apSsfT0xO3b99GtWrVAADvv/8+vv/+ezg4OEicjNQlx/3yRXKoPypK7QHI77j/ItYf+oHnl/pDzucr48ePR0ZGBlq3bo3Hjx+jVatWMDExwbhx4/DZZ59JHe8ZqS8tk7tVq1aJGjVqiKioKGFhYSE2btwoZsyYofyzvrK0tBS///671DGoGGfPnhVbtmwRQgjh5eUlateuLb744guRkJCg7GNkZCQuXLggVcRSy87OFh07dhSWlpbCx8dH+Pv7qyz6Kjk5WdStW1eYm5sLQ0ND5SXBo0aNEkOGDJE4XekoFIpiFwMDA6njlciIESNEzZo1RVRUlEhJSRGpqali48aNombNmnp5Kf7SpUuFhYWF2LFjR6F127dvFxYWFmLp0qUSJCs5hUIh/v33X+XrFy+1J/0gx/1SjipC7SGE/I77z7H+0B88v9Qfcj1feVF2draIiYkRJ06cEFlZWVLHUcEru3Tsww8/RH5+PsaPH49Hjx4hODgYNWrUwHfffYc+ffpIHa/E7Ozs4O7uLnUMrWrduvUrv0HQp8fd+vn5KR+jnJiYiCNHjmDlypVo2rQpvLy80K9fPwDQ629MBg4ciNjYWPTr16/Q44n12ahRo9CkSROcPXtWeTsIALzzzjv46KOPJExWei8/gUYOvv32WygUCgwYMEB5G1WlSpXw6aefYvbs2RKn09wnn3yCgwcPIigoCHXr1kWdOnWgUCiQkJCAy5cvo3fv3vjkk0+kjkkVjNz3S7nUHxWh9gDkd9x/jvWH/uD5pf6Q6/nKi8zNzcvtLdwKIYSQOkRFcefOHTx9+lR5K4U+W716NXbt2oXVq1fD3Nxc6jhaMXr0aJXXT548QVxcHM6fP4+QkBB89913EiXTnocPH2Ljxo1YtWoVTpw4gYCAAAQHB6Nnz56oWrWq1PE0YmFhgb/++gtvvfWW1FG0qkqVKjhy5Ajq1Kmj8hjf5ORkeHt749GjR1JHLLG1a9fi/fffL3RrTl5eHqKiojBgwACJkpVMQUEBDh8+DF9fX5iamuLatWsQQsDDw0Pvj4ubNm3Chg0bcOXKFQgh4OXlheDgYPTu3VvqaBozNDREWlqa8hhnZWWFc+fOwdXVVeJkpCk57Zcvknv9IafaQ87HfdYf+onnl+WbHM9XBg0a9No+CoUCK1euLIM0r8nBwS7dmjZtGvr16ye7UWp/f3/lL/jatWsXuvddTo9eDgsLw8OHD/Htt99KHUWrEhISsHLlSqxbtw737t3DkydPpI6kkbp162LTpk3Kb5Hlws7ODocPH4a3t7dKsXn48GG8++67+Pfff6WOWGKGhoYqcyc9d/fuXVSrVk356Gx9YmpqioSEBA6clGMGBgbo3Lmz8iRnx44daNOmDSwsLFT66ePEtyRvcqw/9L32AOR73Gf9oT94fqk/5Hi+8s477xS7rqCgAHv37kVubm65+P+Kg1065ufnhwsXLqBp06bo168f3n//fb37Fqso06ZNe+X6qVOnllES3bt69SreeOMN3Lt3T+ooOpGfn4/t27ejV69eUkfRyB9//IGFCxdiyZIlqF27ttRxtOb999+HjY0Nli1bprwCpWrVqujRowdq1aqF1atXSx2xxAwMDPDvv/8WOgaePXsWrVu31sv/x5o2bYrZs2ejbdu2UkehYnz44Ydq9dPn/7dInuRcf+hr7QHI97jP+kN/8PxSf8j1fKUov/32G7744gvcunULEyZMwMSJE6WOxMGusnDhwgX89NNPiIqKws2bN9GuXTv069cPPXv2lM0lmnK2bt06TJgwAbdu3ZI6Cr3A1tYWjx49Qn5+PszNzQt9+6Nvhctzt27dQuvWrWFoaIgrV66gSZMmuHLlCqpUqYKDBw/q5WXq/v7+UCgUOHv2LOrXr6/yuPaCggIkJSWhU6dO2LRpk4QpS2b37t2YMGECvv76azRu3LjQ1ULW1tYSJSMifcf6o3yS63Gf9Yd+4fmlfpDr+cqLjhw5ggkTJuDMmTP47LPPMHHiRNja2kodCwAHu8rckSNHsGHDBmzevBmPHz9GZmam1JFK7MGDB9iyZQuuXbuGzz//HHZ2djh9+jQcHBxQo0YNqeNp7OVvF4UQuH37Nk6dOoUpU6bo5bcJchYZGfnK9SEhIWWURPtycnKwceNGnD59Gk+fPkWjRo3Qt29fvX1k8fNv6qZNm4axY8eqPL7c2NgYtWvXxrvvvgtjY2OpImps+vTpGDt2rMpj5l+cdFQIAYVCUS4u4Sai8o31h36oCMd91h/6ieeX5Zecz1cuXLiAiRMnYteuXRgwYACmTZuGmjVrSh1LBQe7ylhcXBzWr1+PqKgo3L17Fzk5OVJHKpFz586hXbt2sLGxQXJyMhITE+Hm5oYpU6bgxo0bWLt2rdQRNfbyrS4GBgaoWrUq2rRpgw4dOkiUikg+IiMj8f7778PU1FTqKKX2fP6PhISEV/YLCAgoo0REpK9Yf+gHHvf1l5zqj6Lw/JLKUmpqKr766iusX78e3bp1Q3h4OOrVqyd1rCJxsKsMJCUlYcOGDfjpp59w+fJltGrVCsHBwXjvvfdgY2MjdbwSadeuHRo1aoQ5c+aoTGJ59OhRBAcHIzk5WeqIVAEUFBRg27ZtSEhIgEKhgLe3N4KCgmBoaCh1NI1s375d7b5BQUE6TELqMjAwQFpaml7e1kFERJqT43Gf9Yf+4vml/pDL+cpz5ubmUCgUGDFiBFq2bFlsv/JwzOBgl461aNECJ0+ehK+vL/r27Yvg4GC9vATzZTY2Njh9+jTc3d1VDkY3btxAnTp18PjxY6kjllhsbKzKwcjf31/qSFSEq1evokuXLvjnn39Qp04dCCFw+fJlODs7448//tCrJ9QYGBiovFYoFHj50Pz8Vgl9vj2ioKAACxYswKZNm5CSkoK8vDyV9fo0b0Fxk93KSUxMDDZv3lzkvxWfXEhSkfN+yfqjfJPjcZ/1xzP6VH8APL/UJ3I6X3nu5eNGUcrLLd1Gr+9CpdG6dWusWLEC9evXlzqKVpmamhZ5P3hiYqLeFgHp6eno06cPDhw4gMqVK0MIgYyMDLRu3RpRUVF6u10vktNJwsiRI+Hu7o7jx4/Dzs4OwLNHSPfr1w8jR47EH3/8IXFC9T19+lT5571792LChAkIDw9HixYtoFAocPToUXz55ZcIDw+XMGXpTZs2DStWrMCYMWMwZcoUTJ48GcnJydi2bRu++uorqeNprG3btiqT3RZFHx+TDQBRUVEYMGAAOnTogD179qBDhw64cuUK0tLSXvnIaSJdkut+Kff6Q061h9yO+6w/9LP+4Pml/pDT+cpzLx43yjte2UUl8sknn+C///7Dpk2bYGdnh3PnzsHQ0BA9e/ZEq1atEBERIXVEjb3//vu4du0a1q1bp7zv+OLFiwgJCYGHhwc2btwoccLSed1Jgr49UtrCwgLHjx+Hr6+vSvvZs2fx5ptv4uHDhxIlKx0fHx8sWbIEb731lkr7oUOH8Mknn7x2rpDyzN3dHd9//z26du0KKysrxMXFKduOHz+ODRs2SB1RbQYGBoUmuy2Kvk4s7efnhyFDhmD48OHKb1ddXV0xZMgQVK9e/bWPBy+PNm/ejI0bN+Ly5ctQKBTw9PREcHAw/ve//0kdjdQkx/0SkHf9IafaQ+7HfdYfJDU5nl/K9XxFX3CwqwzcvHkT27dvL/Ibrfnz50uUqnQyMzPRpUsXXLhwAVlZWXByckJaWhpatGiBnTt3FnoMsz6wsbHB3r170bRpU5X2kydPokOHDnjw4IE0wbREbicJdnZ2+P333wvdK37kyBF0795d7y5Jf87MzEx5afqLzp07h2bNmuntpKPAs1/4CQkJqFWrFqpXr44//vgDjRo1wvXr1+Hv74+MjAypI6pNjnO3vMjCwgIXLlxA7dq1UaVKFezfvx++vr5ISEhAmzZtcPv2bakjqu3p06f44IMPsHnzZnh5eaFu3boQQuDSpUu4evUq3nvvPWzcuFHlqWpUPslpv3yRnOsPOdUecj/us/7QLzy/1A9yPV/RF7yNUcf+/vtvBAUFwdXVFYmJifDx8UFycjKEEGjUqJHU8UrM2toahw8fxr59+1QeT9yuXTupo5XY06dPUalSpULtlSpV0qvLNYtz7do1dO3aFQBgYmKC7OxsKBQKjB49Gm3atNGrghMAunXrhk8++QQrV67EG2+8AQA4ceIEhg4dWi4mRCyppk2bIjQ0FOvXr0f16tUBAGlpaRg7dqxyO/VVzZo1cfv2bdSqVQseHh7YvXs3GjVqhJiYGJiYmEgdTyNyHxixs7NDVlYWAKBGjRo4f/48fH198eDBAzx69EjidJqJiIjA3r17sX37dnTr1k1l3fbt2/Hhhx/iu+++Q2hoqDQBSW1y2i9fJOf6Q061h9yP+6w/9AfPL/WHXM9X9IYgnWratKmYMmWKEEIIS0tLce3aNZGVlSWCgoLEokWLJE5HLwoKChKtWrUS//zzj7Lt5s2bIiAgQPTs2VPCZNpRs2ZNce7cOSGEEH5+fmLDhg1CCCGOHj0qrK2tpYxWIvfv3xdBQUFCoVAIY2NjYWxsLAwMDETPnj3FgwcPpI5XYleuXBE+Pj6iUqVKwt3dXbi7u4tKlSqJ+vXriytXrkgdr1QmTJggZs6cKYQQYvPmzcLIyEh4eHgIY2NjMWHCBInTaUahUIh///1X6hg688EHH4h58+YJIYSYMWOGqFq1qvjoo4+Ei4uLeOeddyROpxlfX1+xcuXKYtevWLFC+Pj4lGEiKik57ZcvknP9IafaQ+7HfdYf+oPnl/pDrucr+oK3MerYi/eF29ra4vDhw6hfvz7Onj2LHj166N0jVE+cOIF79+6hc+fOyra1a9di6tSpyM7ORs+ePbFw4UK9/JYkNTUVPXr0wPnz5+Hs7AyFQoGUlBT4+vpi27ZtcHZ2ljpiqQQHB6NJkyYYM2YMZs6cie+++w49evTAnj170KhRI72bJPa5K1euKOeR8Pb2hoeHh8SJSk8IgT179uDSpUsQQsDb2xvt2rWT3bfKJ06cwJEjR+Dh4aF3327duHEDtWrVkt2/yXP37t3D48eP4eTkhKdPn+Lbb7/F4cOH4eHhgSlTpsDW1lbqiGozMzNDYmIiatWqVeT6GzduoG7dunp9i05FIaf98kVyrj/kVHvI/bgPsP7QFzy/1D9yPF/RBxzs0jFHR0fs27cP3t7eqF+/PmbNmoWgoCC9nZSuc+fOCAwMxIQJEwAA8fHxaNSoEQYOHIh69eph7ty5GDJkCMLCwqQNWgpF/ZKXA7meJJD+uHv3Luzt7QE8O7lbvnw5cnJy0L17d7Rq1UridPRcfn4+fvrpJ3Ts2BGOjo5Sxyk1Ozs7HDhwAH5+fkWuj4+PR0BAAOfNKOfktl8WRY71B2sPKg/kVn/w/JLKk9jYWCQkJEChUKBevXrl61ZaqS4pqyh69Oghli1bJoQQ4vPPPxceHh5ixowZolGjRqJt27YSp9Oco6OjiImJUb7+4osvxJtvvql8vWnTJlGvXj0pounMxYsXhaurq9Qx6AUPHz4UU6ZMEfXr1xcWFhbC0tJS+Pr6imnTpons7Gyp49FLzp07J1xcXISBgYGoU6eOOHPmjHBwcBCWlpbC2tpaGBoaiq1bt0odk15gZmYmkpOTpY6hFV26dBFDhw4tdv2QIUNEly5dyjARlZSc9kt1sP4gKh251h88v9QPcj9f+ffff0Xr1q2FQqEQtra2onLlykKhUIg2bdqI9PR0qeMJIYTgBPU6Nn/+fOXoelhYGB4+fIiff/4ZHh4eWLBggcTpNHf//n04ODgoX0dHR6NTp07K102bNkVqaqoU0XQmLy8PN27ckDpGiWRmZqrd19raWodJtCcvLw8BAQE4f/48OnfujO7du0MIgYSEBMycORN//vknDh48WORkvySN8ePHw9fXF+vXr8f69evRrVs3dOnSBStWrAAAjBgxArNnz0bPnj2lDUpKzZo1w5kzZ+Di4iJ1lFKbPHkyAgMDcffuXYwbN075NMaEhATMmzcPv/32G/bv3y91TFKDnPZLdehr/SHH2oP0k1zrD55fln8V4XxlxIgRyMzMxIULF1CvXj0AwMWLFxESEoKRI0di48aNEicEr+wizdSqVUtER0cLIYTIzc0VZmZmYu/evcr1586dE7a2tlLF04m4uDhhYGAgdYwSUSgUwsDAQK1FX0RERAgHBwdx6dKlQusSEhKEg4OD+P777yVIRsWxt7cXZ8+eFUIIkZWVJRQKhco3eAkJCcLGxkaidFSUTZs2CTc3N7Fw4UJx9OhRcfbsWZVF3/z666+iSpUqhY579vb2YsuWLVLHIzXJbb98HX2tP+RYe5B+Yv2hH+R4flkRzlesra3FyZMnC7WfOHGi3Px/xSu7SCOdOnXCxIkT8c0332Dbtm0wNzfH22+/rVx/7tw5uLu7S5iQXvTi1QrJycmYOHEiBg4ciBYtWgAAjh07hsjISMyaNUuqiBr79ddfMWXKFNSpU6fQurp162Ly5MnYsmULRowYIUE6Ksq9e/eUc+xYWlrCwsICdnZ2yvW2trbIysqSKl6pHTp0CEuXLsW1a9ewZcsW1KhRA+vWrYOrqyveeustqeOVyPvvvw8AGDlypLJNoVBACAGFQoGCggKpopXIO++8g44dO+Kvv/7ClStXAABeXl7o0KEDzM3NJU5H6pLbfilXcqw9XibH474cyb3+kAs5nl9WhPOVp0+fFnllWqVKlfD06VMJEhXGwS4dcXNzU6vf9evXdZxEu2bMmIFevXohICAAlpaWiIyMhLGxsXL9qlWr0KFDBwkT0osCAgKUf54+fTrmz5+PDz74QNkWFBQEX19fLFu2DCEhIVJE1NjFixcRGBhY7PrWrVtj+vTpZRdIR9LT05Genl7ol0Vxk2yXdy8/yUkuT3b65Zdf0L9/f/Tt2xdnzpxBbm4uACArKwvh4eHYuXOnxAlLJikpSeoIWmdubo533nlH6hhUCnLcL+VIjrXHi+R63H+O9Uf5xfNL/VERzlfatGmDUaNGYePGjXBycgIA/PPPPxg9ejTatm0rcbpn+DRGHTEwMICLiwuCg4NRrVq1YvuNGjWqDFNpT0ZGBiwtLWFoaKjSfu/ePVhaWqocoMo7W1vbV/7iy8/PR3Z2tt5/Y2xubo6zZ8/C09NTpf3y5cto2LAhHj16JFEyzVSqVAmpqanFPo3r9u3bcHFxQV5eXhkn047Y2FiEhIQgISEBzw/P+n7lgoGBATp37qx8ZPSOHTvQpk0bWFhYAAByc3Oxa9cuvdw2f39/jB49GgMGDICVlRXOnj0LNzc3xMXFoVOnTkhLS5M6IhGVUxWh/pBL7fEiuR73WX+Ufzy/1J/zS7mfrwDPnmzao0cPnD9/Hs7OzlAoFEhJSYGvry9+++031KxZU+qIvLJLV6KiorB69WrMnz8fnTt3xqBBg9ClSxcYGBhIHU0rbGxsimx/8dJgfRERESF1hDLh7OyMJUuWYN68eSrtS5cuhbOzs0SpNPf06dNCvwRfZGBgoDdFS1E+/PBDeHl5YeXKlXBwcNDrbyCfe/mb+379+hXqM2DAgLKKo1WJiYlFPrbc2toaDx48KPtAWnbx4kWkpKQUKsaCgoIkSkQkn/2yItQfcqk9XiTX4z7rj/KP55f6Q+7nK8Cz4/vp06exZ88eXLp0CUIIeHt7o127dlJHU+KVXTr2zz//YM2aNVizZg2ys7MxYMAADB48uNA3XES6tnPnTrz77rtwd3dH8+bNAQDHjx/HtWvX8Msvv6BLly4SJ1SPgYEBfHx8YGRU9Fh9fn4+Lly4oLe/QKysrHDmzBl4eHhIHYXU4O7ujqVLl6Jdu3Yq3/CvXbsWs2fPxsWLF6WOWCLXr1/HO++8g/j4eOU3+8D/3f6hr/9/kX7jfql/5FJ7vEiux33WH/qD55fln9zPV/QFB7vKUHR0NMLCwnDw4EHcuXMHtra2UkeiCubmzZtYvHix8hJ1b29vDB06VK++XZ02bZpa/aZOnarjJLrRs2dP9O/fH++++67UUUgNc+bMQWRkJFatWoX27dtj586duHHjBkaPHo2vvvoKn332mdQRS6R79+4wNDTE8uXL4ebmhpMnT+Lu3bsYO3Ysvv32W5WJY4nKCvdL/SSH2uNFcj3us/7QTzy/LJ/kfr7yXHZ2NqKjo4u82vrFh8lIhYNdZeDx48fYsmULVq1ahePHjyMoKAiRkZHK+8eJiJ67c+cOQkJC8MYbb8DHx6fQU0707TadimDy5MlYsGABHj9+DAAwMTHBuHHj8PXXX0ucrOSqVKmCffv2wc/PDzY2Njh58iTq1KmDffv2YezYsThz5ozUEakC4n5J5YUcj/usP/QLzy9JCr/++ivat2+vvBK0S5cuePToEbKzs2FnZ4c7d+7A3Nwc1apVKxcPSuBglw6dOHECK1euxM8//wx3d3cMGjQIffv25Yg7ERVr+/bt6N+/f5GPwtbXCWIrgkePHuHixYt4+vQpvL29YWlpKXWkUrG1tUVsbCzc3Nzg7u6OFStWoHXr1rh27Rp8fX31clJp4NnTj1xcXLBmzRplW0hICFJTU7Fv3z7pgpFa5Lpfkn6S23Gf9Yd+4PklSWnSpEnYv38/jh8/jsDAQHh5eWHx4sWoXLkyzp49i0qVKqFfv34YNWoUevXqJXVcTlCvK/Xr10d6ejqCg4Nx6NAhvX1c7+vIZZJYovJi5MiR6N+/P6ZMmQIHBwep45CazM3N0aRJE6ljaI2Pjw/OnTsHNzc3NGvWDHPmzIGxsTGWLVum9qPPy6PatWujevXqKm01atSQzeS+cifX/ZL0k9yO+6w/yj+eX/L8UmpvvPEGTpw4AQCIi4vD0qVLYWhoCENDQ+Tm5sLNzQ1z5sxBSEhIuRjs4pVdOmJgYAALCwsYGRm98mkm9+7dK8NU2sNJYol0w8rKCnFxcXB3d5c6ClVgf/31F7Kzs9GrVy9cv34d3bp1w6VLl2Bvb4+ff/4Zbdq0kToiVUDcL4l0h/VH+cfzS55fSq1atWrYuXMnmjRpgqpVq+LIkSPw8vJCnTp18P3336Njx464dOkSGjVqVC6utuaVXTqyevVqqSPo1KhRo+Dq6oq9e/cWOUmsvrp58ya2b99e5LcJ8+fPlygVVSS9evXC/v37WWySpDp27Kj8s5ubGy5evIh79+7B1tZWFo+jJ/0k5/2S9QdJjfVH+cfzS5LagAED8Mknn+D06dPw9/fHqVOn4OXlhdatW+Orr77CnTt3sG7dOvj6+kodFQCv7KISkuMksX///TeCgoLg6uqKxMRE+Pj4IDk5GUIINGrUSDbzufz3339ITEyEQqGAl5cXqlatKnUkesHMmTMRERGBrl27wtfXt9AEseXhySZUsaSmpkKhUKBmzZpSRymVmzdvonLlyoXm1Xny5AmOHTuGVq1aSZSMSkIu+yVQMeoP1h7lH+sPkpoczy/l7NSpU8jKykLr1q3x33//ISQkBIcPH4aHhwdWr16NBg0aSB0REEQlULlyZXHt2jUhhBBubm5i3759Qgghrl69KszMzKSMVmJNmzYVU6ZMEUIIYWlpKa5duyaysrJEUFCQWLRokcTpSu/hw4fiww8/FEZGRkKhUAiFQiGMjIzEoEGDRHZ2ttTxSuTGjRvi1q1bKm23bt0SN27ckChR6dWuXbvYxdXVVep49IK8vDwxcOBA5bFQTp48eSK+/PJLYW1tLQwMDISBgYGwtrYWkydPFnl5eVLH08itW7dE06ZNhYGBgTA0NBQDBgwQWVlZyvVpaWnCwMBAwoSkLjntly+Sc/0ht9pDzsd91h8kNTmeXwohz/MVfcHBLiqRt956S2zdulUIIcQHH3wgOnXqJA4fPiwGDBgg6tevL224ErK0tBRXr14VQjw72J4/f14IIURcXJxwcXGRMJl2fPLJJ8LNzU3s3LlTZGRkiIyMDPHHH38Id3d3MXToUKnjlYhCoRD16tVTaatbty5PXKnM2NjYyPKkZ8iQIaJatWpiyZIl4uzZs+Ls2bNiyZIlwtHRUQwZMkTqeBoZMGCAaN68uYiJiRF79uwRTZo0EY0bNxb37t0TQjwb7FIoFBKnJHXIab98kZzrDznWHnI97tP/a+/O42u6+jWAP/tEIhIhlEi0RIaSRBLzmBqCoqjxNQ8ROigVRbVKzbS9ipr6UiSC1lyKTlRENEiNSQyJICFUCGJMTEn2/UOd15FQORnW2es8388nnytrn977uF3d5/dbe++1STQZ+0tVZb8iEvfsIqN8/vnnSE9PBwBMnz4dHTp0QJMmTfSbxGqRra0tHjx4AACoWLEizp49i+rVqwMArl27JjJagfjxxx+xceNGNG/eXD/Wrl07lChRAj169MCiRYvEhTNSeHg4bGxsDMZWrlxpEhsi5tfDhw+RlJQENzc3FCvGU7Wp6tKlC3766SeMGjVKdJQCtWbNGqxduxZvvfWWfszX1xeVK1dGr169sHjxYoHp8mbnzp3YvHmz/q1pTZo0Qc+ePdGiRQuEhYUBgOb3ezIXMs3Lp8lcf8hYe8h63n+C9QeJImN/CcjVr9SqVeula6YjR44Ucpp/xzMYGUXGTWIbNmyIvXv3wsvLC+3bt8fo0aNx7NgxbNq0CQ0bNhQdL98yMjJyfZW0g4ODJk+2ANCsWbMcY/Xq1ROQpOBkZGRg+PDhWLFiBQAgISEBrq6uCAoKQsWKFTF27FjBCelp7u7umDZtGvbt24c6derA1tbW4LhW9zixtrZGlSpVcoxXqVIFVlZWRR8oH27duoUyZcrofy9evDg2btyI7t27w9/fH99//73AdJQXMs3Lp8lcf8hYe8h63mf9QaLJ2F8CcvUrnTt31v/5/v37+O9//wsvLy80atQIABAVFYUTJ05g6NChghIa4gb1lGeZmZmwtrZGdHQ0vL29RccpMImJibh79y58fX2RkZGBjz/+WL/J3jfffANnZ2fREfOlZcuWeOWVV7By5UpYW1sDAO7du4eAgACkpaVh586dghMS8PhNNHv37sXcuXPRtm1bxMbGwtXVFVu3bsWkSZO4OaeJcXFxee4xRVGQmJhYhGkKztSpUxEfH4/ly5ejePHiAIAHDx5g8ODBeP311zFp0iTBCV+er68vJk2ahG7duhmMZ2Zmonv37jhy5AguXrzIV5prgEzz8mky1x8y1h6ynvdZf5BIsvaXMnvnnXfg5OSEadOmGYxPmjQJFy5cQEhIiKBk/8PFriKwZ88e2NjY6B+hAB6/vSAjI0Ozb39yc3PDpk2bTOMtC/RSjh8/jrZt2+L+/fuoUaMGFEVBdHQ0rK2tsX37dv0jE6ZMa7fOGsPZ2Rnr1q1Dw4YNYWdnh5iYGLi6uuLMmTOoXbs2bt++LToimYEuXbogLCwMxYsX15/nY2Ji8PDhQ7Rs2dLgs5s2bRIR8aV9+umniI6Oxvbt23Mcy8zMRLdu3fDzzz9zsUsDZJqX5kKG2sNcsP7QFvaXpssc+hUAKF26NA4dOoTXX3/dYPz06dOoW7cubt26JSjZ//AxxiLQvHlzeHh44OTJk/qx/v37IyEhQbPF9eeff47PPvsM33//PcqWLSs6Dr0Eb29vnD59Gt9//z3i4+Ohqip69eqFvn37okSJEqLjvRSt3TprjKtXr8LBwSHHeHp6uqZv4TYHT64dyfDvyd7ePsedUJUqVRKUJn9mzJjx3MelihUrhk2bNuHixYtFnIqMIdO8NBcy1B4vItN5n/WHtrC/NF3m0K8AQIkSJRAZGZljsSsyMlJ/J69ovLOrCJw/fx6WlpaoWLGifuzSpUt49OiRZm9Nr1WrFs6cOaP/Ozy7X4FWVqnz8gx4WlpaIaehvNDCrbPGaNasGf7zn/9g+PDhsLOzQ2xsLFxcXPDhhx/izJkz+P3330VHpGesXLkSX3/9NU6fPg0AqFq1KsaMGYP+/fsLTkZEpor1h7bJeN5n/aEt7C+1QdZ+BQC++uorTJ48Ge+8845+f8moqCiEhIRg4sSJJrHPH+/sKgK5nXCePjFp0dMr1lo2d+5c/Z+vX7+O6dOno02bNvqV9/3792P79u2YMGGCoIQFKyEhAbt370Zqaiqys7MNjk2cOFFQKuNs2LABhw4dyjHer18/1K1bV7NfHl9++SXatm2LkydPIjMzE/PmzcOJEyewf/9+REREiI5Hz5gzZw4mTJiADz/8EH5+flBVFXv37sWQIUNw7do1jBw5UnREIjJB5lR/yFR7APKe91l/aAv7S22QtV8BgLFjx8LV1RXz5s3D6tWrAQCenp4IDQ1Fjx49BKd7jHd2FZGHDx/m+iVfuXJlQYnoWd26dYO/vz8+/PBDg/GFCxdi586d+Omnn8QEKyBLly7FBx98gHLlysHR0dHgirKiKJq7WuLo6Igvv/wSgYGBBuPLly/H2LFjceXKFUHJ8u/YsWOYNWsWDh8+jOzsbNSuXRuffvopfHx8REejZ7i4uGDKlCkYMGCAwfiKFSswefJkJCUlCUpGRFohc/0hW+0ByH3eZ/2hLewvTZ/M/cqLREdHo2bNmqJjcLGrsJ0+fRqDBg3Cvn37DMZVVYWiKJp9plpGJUuWRHR0NNzd3Q3GT58+jVq1auHu3buCkhUMZ2dnDB06FJ9++qnoKAVCC7fOkvysra1x/PjxXM8bPj4+uH//vqBkRKQVMtcfstUeAM/7JB77S+0wp37l1q1b+OGHH7Bs2TLExMSYxDzkY4yFbODAgShWrBh+/vlnODk5SbPBY1ZWFr755husX78eycnJePjwocFxLe4v8corr2Dz5s0YM2aMwfhPP/2EV155RVCqgnPjxg10795ddIwCo4VbZ43xvLcdKYqC4sWLw8rKqogT0Yu4u7tj/fr1GDdunMH4unXrcmzYSUSUG5nrD9lqD0De8z7rD+1gf6kdsvYrT9u1axeCg4OxefNmODs7o1u3bggODhYdCwAXuwpddHQ0Dh8+DA8PD9FRCtSUKVOwbNkyjBo1ChMmTMD48eNx7tw5/PTTT5rcfwF4/HcaPHgwdu/ebfC2jN9//x3Lli0TnC7/unfvjh07dmDIkCGioxSYHj16SPNF8YS9vf0Li5bXXnsNAwcOxKRJk6DT6YowGeVmypQp6NmzJ/bs2QM/Pz8oioLIyEiEhYVh/fr1ouPRU5YvX46SJUvmaLw3bNiAjIwMBAQECEpG5k7m+kPG2kPW8z7rD+1gf6ktMvYrFy9eRGhoKEJCQpCeno4ePXrg0aNH+PHHH+Hl5SU6nh4fYyxk9erVwzfffIM33nhDdJQC5ebmhvnz56N9+/aws7NDdHS0fiwqKkq/cq01f/31F+bPn4+4uDioqgovLy8EBQWhQYMGoqMZZf78+fo/p6enY86cOWjfvj18fHxgaWlp8NmgoKCijke5WLlyJcaPH4+BAweifv36UFUVBw8exIoVK/D555/j6tWrmDVrFsaMGZPjqjKJcfjwYXzzzTcG543Ro0ejVq1aoqPlS3p6OiIiInK9uqrF80W1atWwePFi+Pv7G4xHRETgvffew6lTpwQlo7yQbV4+IVP9YQ61h4znfdYf2sH+kkRq164dIiMj0aFDB/Tt2xdt27aFhYUFLC0tERMTw8Uuc7Jr1y58/vnn+OKLL3L9ki9VqpSgZPlja2uLuLg4VK5cGU5OTvjll19Qu3ZtJCYmolatWrh165boiITHm6i+DEVRkJiYWMhp8s8cXtXesmVLvP/++zmuAK1fvx7fffcdwsLCsGrVKsyYMQPx8fGCUpLsjh49inbt2iEjIwPp6ekoW7Ysrl27BhsbGzg4OGjifPEsa2trxMfHo0qVKgbj586dg6enJ+7duycmGL00GeeljGSrPcwF6w/tYH9p2mTvV4oVK4agoCB88MEHBo9um+JiFx9jLGStWrUC8PgL5Gla30DwtddeQ0pKCipXrgx3d3fs2LEDtWvXxsGDB1G8eHHR8egfWn4jUG6eflW7rPbv34/FixfnGK9Vqxb2798PAHjjjTeQnJxc1NHoBVJTU3N9I5Kvr6+gRPkzcuRIvP3221i0aBHs7e0RFRUFS0tL9OvXDyNGjBAdzygODg6IjY3NsdgVExOj+X2RzIWM81JGstUezyPbeZ/1h3awvzRtsvcrf/75J0JCQlC3bl14eHigf//+6Nmzp+hYueJiVyELDw8XHaFQdOnSBWFhYWjQoAFGjBiB3r17Izg4GMnJyRg5cqToeCSpJ3vqZGZm4ocffkCbNm3g6OgoOFXBeu211xAcHIyvvvrKYDw4OBiVKlUCAFy/fh1lypQREY+ecfjwYQQEBOgfZXmalgvO6OhofPfdd7CwsICFhQUePHgAV1dXzJw5EwEBAejatavoiHnWq1cvBAUFwc7ODk2bNgXw+BHGESNGoFevXoLT0cuQcV6S9sh63mf9oR3sL02b7P1Ko0aN0KhRI8ybNw9r165FSEgIRo0ahezsbPzxxx+oVKkS7OzsRMcEwMcYqYBERUVh3759cHd3R8eOHUXHoVxkZWUhNDQUYWFhuV6J3LVrl6BkxrGxsUFcXBycnZ1FRylQW7duRffu3eHh4YF69epBURQcPHgQ8fHx2LhxIzp06IBFixbh9OnTmDNnjui4Zs/X1xfu7u749NNPUaFChRy3rWt1fpYvXx579+5F1apVUa1aNcyfPx9t2rRBfHw8ateujYyMDNER8+zhw4fo378/NmzYgGLFHl/ry87OxoABA7B48WK+aUwDZJyXspOt9gDkPe+z/iBTI0N/KWu/8qxTp04hODgYq1atws2bN/Hmm29i69atomNxsauw7dmz54XHn1xdJipsH374IUJDQ9G+fftcX1P8zTffCEpmHH9/f4wYMQKdO3cWHaXAnTt3DosXL0ZCQgJUVYWHhwfef//9HI9fkXh2dnY4evQo3N3dRUcpUK1bt8bAgQPRp08fDBkyBEePHkVQUBBWrVqFGzdu4K+//hId0WgJCQmIiYlBiRIl4OPjI30BKhOZ56WsZKs9AHnP+wDrD61gf6kdMvcrucnKysK2bdsQEhLCxS5zkNureZ/+otfqrc7A4xXcBQsWIC4uDoqiwMPDA8OHD0e1atVER8u3ixcvQlEUvPrqq6KjFJhy5cph5cqVaNeunegoBWLDhg0YO3YsRo4ciTp16sDW1tbguFb3zCBt6dy5M/r3749u3bqJjlKgDh06hDt37sDf3x9Xr15FQEAAIiMj4e7ujpCQENSsWVN0RDJD5jAvZas/ZKs9AHnP+6Qd7C+1g/2KWFzsKmTPvjXi0aNHOHr0KCZMmIAZM2bk2FhQKzZu3IjevXujbt26aNSoEYDHt5oePHgQq1evRvfu3QUnzLvs7GxMnz4ds2fPxt27dwE8vno3evRojB8/PtcvFi2pWLEidu/ejapVq4qOUiCe90Wvxc05Y2Nj4e3tDZ1Oh9jY2Bd+ll+KpuXatWsICAhA/fr14e3tneONSFq97V4Wo0aNwrRp02Bra4tRo0a98LN8LIdEkbn+kK32AOQ677P+0Cb2l9ohU7+iRVzsEmTPnj0YOXIkDh8+LDqKUVxdXdGvXz9MnTrVYHzSpElYtWqVJl8l/dlnnyE4OBhTpkyBn58fVFXF3r17MXnyZLz77ruYMWOG6Ij5Mnv2bCQmJmLhwoUv/TpcU3b+/PkXHtfSo0k6nQ6XL1+Gg4MDdDqd/kvwWfxSND1bt25F//79cefOnRzHtPzvq0WLFti0aRPs7e0Nxm/fvo3OnTtrZp8df39/bN68Gfb29vD393/u5xRF0czfyZzJMi+fJXP9IVvtAch13mf9IRf2l6ZHpn5Fi7jYJUhcXBzq1aunv4KnNTY2NoiNjc2xX8Hp06dRo0YNTW4SW7FiRSxevDjHFbktW7Zg6NCh+PvvvwUlKxhdunRBeHg4ypYti+rVq+e4Erlp0yZByej8+fOoXLkyFEXhl6LGVKlSBR06dMCECRNQoUIF0XEKzNMN0NNSU1Px6quv4tGjR4KSkTmTdV7KXH/IWHvIdN5n/SEX9pdEhoqJDiC7Z28JVlUVKSkp+Oqrr1CjRg1BqfKvefPm+PPPP3OcjCIjI9GkSRNBqfInLS0NHh4eOcY9PDyQlpYmIFHBsre3R5cuXUTHKFBnz57F3Llz9c/1e3p6YsSIEXBzcxMdLU+eFJCPHj3C5MmTMWHCBLi6ugpORS/j+vXrGDlypOYbniee/s46efIkLl++rP89KysLv//+uzR7CZF2yD4vZa4/ZKw9ZDrvs/7QJvaX2iJLv6JFvLOrkD3vluCGDRsiJCQk1+JGCxYvXoyJEyeiR48eaNiwIYDHz1Rv2LABU6ZMQcWKFfWf1creBQ0aNECDBg0wf/58g/Hhw4fj4MGDiIqKEpSMcrN9+3Z07NgRNWvW1D/2sW/fPsTExGDbtm148803RUc0ir29PY4cOcJiUyMCAgLQpEkTvPPOO6KjFIgn31kAcn2UpUSJEliwYAEGDRpU1NHyLT09HV999RXCwsKQmpqK7Oxsg+NafDzCXMg8LwHWH1oj23n/CdYf2sH+Ujv9paz9ilZwsauQPXtLsE6nQ/ny5WFtbS0oUcF42c1StfSMf0REBNq3b4/KlSujUaNGUBQF+/btw4ULF/Drr79q+oqCjGrVqoU2bdrgq6++MhgfO3YsduzYgSNHjghKlj+BgYHw8fH51820yTTMmDEDc+fORfv27eHj45PjEZ2goCBByYxz/vx5qKoKV1dXHDhwAOXLl9cfs7KygoODAywsLAQmNF7v3r0RERGB/v37w8nJKcf+QSNGjBCUjP6NzPMSYP2hNbKd959g/aEd7C+101/K2q9oBRe7iJ5y6dIlfPvtt4iPj4eqqvDy8sLQoUMNriRoSe3atREWFoYyZcqgVq1aL9wcVmsnW2traxw7dgyvv/66wXhCQgJ8fX1x//59QcnyZ8aMGZg1axZatmyZ6yuKtVpEy8rFxeW5xxRF4d1CJsTe3h6//PIL/Pz8REchykGm+kPm2gOQ97zP+oOo4Mnar2gF9+wqJPfu3UNYWBg6dOgA4PGbdh48eKA/bmFhgWnTpml+BV42FStW1PRbj57VqVMnFC9eHADQuXNnsWEKWPny5REdHZ3jyyM6OjrH5sVasmzZMtjb2+Pw4cM53qajKAqLTROTlJQkOkKB2bp160t/ViuPDzytTJkyKFu2rOgYlEeyz8snZKo/ZK49ALnO+09j/WH62F9qj6z9ilbwzq5C8t133+Hnn3/Gtm3bAAB2dnaoXr06SpQoAQCIj4/HJ598gpEjR4qMSU/5/fffUbJkSbzxxhsAgG+//RZLly6Fl5cXvv32W5QpU0ZwQnra1KlT8c0332Ds2LFo3LgxFEVBZGQk/u///g+jR4/G559/LjoimbFjx44hODgYc+fOFR3lpcn4+MDTvv/+e2zZsgUrVqyAjY2N6Dj0kmSflwDrD1lo8bxP2sL+UnvYr4jFxa5C0rRpU4wcOVL/Bho7OzvExMToN338/vvv8e2332L//v0iY9JTfHx88H//939o164djh07hrp162L06NHYtWsXPD09sXz5ctERC8zdu3dzbM5cqlQpQWmMo6oq5s6di9mzZ+PSpUsAHl8ZHzNmDIKCgl742IQWXLt2DYqi4JVXXhEdhV7S7du3sWbNGgQHB+PQoUPw9fVFdHS06Fj0j1q1auHs2bNQVRVVqlTJsc+OFh+nIjmYS/0hQ+3xLBnP+6w/TBf7S+2RvV8xdVzsKiSOjo4ICwtD9erVATy+hfHgwYOoUqUKgMfP6darVw+3bt0SmJKeVrJkSRw/fhxVqlTB5MmTcfz4cWzcuBFHjhxBu3btDF51rkVJSUn48MMPsXv3boPnw1VV1dQV8WXLlqFFixYGbwu6c+cOgMdf+lp28+ZNjB8/HuvWrcONGzcAPH70qlevXpg+fTrs7e3FBqRcRUREIDg4GD/++CPu37+PMWPG4J133snx6mwSa8qUKS88PmnSpCJKQmRI5vpDltrjWbKd91l/aAP7S+2QuV/REu7ZVUhu3bqFYsX+9//eq1evGhzPzs42eMaaxLOyskJGRgYAYOfOnRgwYAAAoGzZsrh9+7bIaAWib9++AICQkBBUqFBBs1cSRowYgfv37+PVV1+Fv78/WrRogRYtWqBSpUqio+VLWloaGjVqhL///ht9+/aFp6cnVFVFXFwcQkNDERYWhn379vFxFhORkpKC5cuXIyQkBOnp6fo3/TVq1AgDBgzQbMPztIiICMyaNQtxcXFQFAWenp4YM2aMZt8Mx8UsOcg2LwG56w9Zag9A3vM+6w/tYH+pHbL2K1rDxa5C8tprr+H48eOoVq1arsdjY2Px2muvFXGqwnHv3j08evTIYEyLt6X7+flh1KhR8PPzw4EDB7Bu3ToAj6+SyPDvKjY2FocPH37unNSKmzdvIioqChEREQgPD8fQoUNx//59ODs7o0WLFvD394e/v7/m3mA1depUWFlZ4ezZs6hQoUKOY61bt9Y/90/iubi4oHv37vj222/x5ptvvvS+Qlrx/fffIzAwEF27dkVQUBBUVcW+ffvQsmVLhIaGok+fPqIjGu3w4cP6hRIvLy/UqlVLdCR6SbLOS5nrD1lqD0De8z7rD+1gf6md/lLWfkVzVCoUQUFBqpeXl3rv3r0cxzIyMlQvLy81KChIQLKCkZ6erg4bNkwtX768qtPpcvxo0fnz59UOHTqovr6+6rJly/TjH330kTp8+HCByQpG8+bN1T/++EN0jAL38OFDdc+ePeqUKVNUf39/1cbGRrWwsBAdK8+cnZ3V33///bnHf/vtN9XZ2bnoAtELVa1aVa1SpYo6btw4NS4uTj9erFgx9cSJEwKTFQwPDw91zpw5OcZnz56tenh4CEiUf1euXFH9/f1VRVHUMmXKqPb29qqiKGqLFi3U1NRU0fHoJcg4L1VV7vpDptpD1vM+6w/tYH+pXbL0K1rDO7sKybhx47B+/XpUq1YNH374IapWrQpFURAfH4+FCxciMzMT48aNEx3TaGPGjEF4eDj++9//YsCAAfj222/x999/47vvvsNXX30lOl6eZWZmIjw8HEuWLIGTk5PBMVmuZC1btgxDhgzB33//DW9v7xybM/v6+gpKlj9ZWVl4+PAhHjx4gAcPHiAzMxMuLi6iY+VZSkqKfg+G3Hh7e2t63xbZnDp1Cnv37kVwcDDq1auHqlWrol+/fgCg6cd0nkhMTMTbb7+dY7xjx46a/e4aPnw4bt++jRMnTsDT0xMAcPLkSQQEBCAoKAhr1qwRnJD+jYzzUvb6Q6baQ9bzPusP7WB/qV2y9CuaI3q1TWaJiYlqmzZtVJ1OpyqKoiqKoup0OrVNmzbq2bNnRcfLl0qVKqnh4eGqqqqqnZ2devr0aVVVVXXlypXqW2+9JTCZ8UqUKKGeO3dOdIxCs3//ftXFxUU/F5/Mxyf/Uyvu3bunhoWFqRMmTFD9/PzU4sWLq56enur777+vrl69Wv37779FRzRKxYoV1T///PO5x/fs2aNWrFixCBPRy7pz5466ZMkStWHDhqqiKGrz5s3VJUuWaPpuITc3N3Xx4sU5xhcvXqy6u7sLSJR/pUqVUg8cOJBj/K+//lJLly5d9IEoz2Scl6oqd/0hS+3xLJnO+6w/tIX9pTbI2q9oDd/GWATS0tJw5swZAIC7uzvKli0rOFH+lSxZEidOnICzszNee+01bNq0CfXr10dSUhJ8fHxw9+5d0RHzzN/fHyNGjEDnzp1FRykUXl5e8PT0xCeffJLrJrHOzs6CkuWNtbU1KlSogI4dO6Jp06Zo1qwZHBwcRMfKt8GDB+PMmTP4448/YGVlZXDswYMHaNOmDdzc3BAcHCwoIb2MuLg4BAcHY9WqVUhLS8ux34RWLFq0CB999BEGDRqExo0bQ1EUREZGIjQ0FPPmzcP7778vOmKe2dnZ4c8//0TNmjUNxo8ePYpmzZppfiNwcyDjvATkrj9kqT1eROvnfdYf2sT+0rTJ2q9oDRe7yCi+vr5YsGABmjVrhtatW8PX1xezZs3C/PnzMXPmTFy8eFF0xDzbsGEDxo4di5EjR6JOnTqwtbU1OK6lW+1zY2tri5iYGM2+LeiJBg0aIDo6GtWqVUPz5s3RrFkzNG/eHK+88oroaPly8eJF1K1bF8WLF8ewYcPg4eEB4PFjVv/973/x4MEDHDp0iG9x0YjMzExs3boVXbt2FR0lT65evYry5csDADZv3ozZs2cjLi4OAPRvvevUqZPIiEbr1KkTbt68iTVr1ug3hH3y9rEyZcpg8+bNghPS88g8LwG56w9Zao+XodXzPusPMhUy9Zey9itaw8UuMso333wDCwsLBAUFITw8HO3bt0dWVhYyMzMxZ84cjBgxQnTEPMvtrTqKokBVVSiKgqysLAGpCs7bb7+NgQMHolu3bqKj5Ft6ejr+/PNPhIeHY/fu3Th69CiqVq2q/zLR6tWTpKQkDB06FDt27MCTU7OiKHjzzTexcOFCs2gWSCwrKyt07NgRgwcPRtu2bTW9D82zLly4gE6dOuH48eOoVKkSFEVBcnIyfHx8sGXLFmneYCUjmeclIHf9IVPtITPWH2QKZOsvZe1XtISLXVQgkpOTcejQIbi5uaFGjRqi4xjl/PnzLzyu9VvtlyxZgunTp2PQoEHw8fHJsUlsx44dBSXLvzt37uDPP//EH3/8geXLl+Pu3bvIzMwUHctoN27cwOnTpwHIc2s6acOaNWuwfPly7Nq1C46OjggMDERgYCBcXV1FRyswf/zxB+Lj46GqKry8vNCqVSvRkehfyD4vZa4/ZK49ZMT6g0yJDP3l02TrV7SAi11EZiK3K8dPaPXKcXZ2Ng4ePIjdu3cjPDwce/fuRXp6OpydnZGUlCQ6HpFmXbhwASEhIVixYgXOnz+Ppk2b4p133kG3bt1gbW0tOh6ZKc5L7ZGx9iAiygv2K+JwsYte2vz581/6s0FBQYWYpPCsWrUKixcvRlJSEvbv3w9nZ2fMnTsXLi4umt4PRCYHDx7U3w4cGRmJu3fv4rXXXkPz5s3h7+8Pf39/VKlSRXRMImmEhYVh+fLl2Lx5M6ysrNC7d2/897//FR3rpf31119IS0vDW2+9pR9buXIlJk2ahPT0dHTu3BkLFixA8eLFBaakvNL6vHwW6w8iMkey9pfsV0wDF7uKwKlTp7BgwQLExcVBURR4eHhg+PDhqFatmuhoeeLi4mLw+9WrV5GRkQF7e3sAwM2bN2FjYwMHBwckJiYKSJg/ixYtwsSJE/HRRx9hxowZOH78OFxdXREaGooVK1YgPDxcdETC46vETk5O+i+L5s2bcy8JoiLw448/4r333sPNmzc1dTfGW2+9hebNm+PTTz8FABw7dgy1a9fGwIED4enpia+//hrvv/8+Jk+eLDYoGUWr8/JprD+IKK/YX5o29iumoZjoALLbuHEjevfujbp166JRo0YAgKioKHh7e2P16tXo3r274IQv7+nbLFevXo3//ve/CA4O1p9UT506hXfffVezr/5esGABli5dis6dO+Orr77Sj9etWxcff/yxwGQFJz09HREREUhOTsbDhw8NjmnlaklcXJzmvshJbitXrkTp0qUN7r7YsmULbt26hQEDBghMln/nzp3D8uXLsWLFCly8eBH+/v4YPHiw6Fh5Eh0djWnTpul/X7t2LRo0aIClS5cCACpVqoRJkyZxsUtDZJiXT5O9/pCh9niWzOd9Mn3sL00f+xUToVKhcnFxUSdMmJBjfOLEiaqLi4uARAXD1dVVPXLkSI7xQ4cOqVWqVBGQKP+sra3Vc+fOqaqqqiVLllTPnj2rqqqqJiQkqNbW1iKjFYgjR46ojo6OaqlSpVQLCwu1fPnyqqIoqq2trabnornIzMxUN2/eLDoG5UJRFNXT09NgrFq1aqpOpxOUKH/u3bunrly5UvX391ctLCzUypUrqxMnTlSTkpJERzNK8eLF1eTkZP3vfn5+6rRp0/S/JyUlqSVLlhQRjfJAtnn5NJnrD1lrD9nO+y/C+sP0sL8kejnP3zWSCsTly5dzvcLTr18/XL58WUCigpGSkoJHjx7lGM/KysKVK1cEJMo/FxcXREdH5xj/7bff4OXlVfSBCtjIkSPx9ttvIy0tDSVKlEBUVBTOnz+POnXqYNasWaLj0XPEx8fjk08+QcWKFdGjRw/RcSgX2dnZOHnypMFYfHy8Jh+peu+99+Do6Ih3330X5cuXxy+//IJz585hypQpmt1bokKFCvorxw8fPsSRI0f0V8KBx29HevYNcWRaZJyXT5O5/pC19pDpvP88rD9MF/tLopfDxa5C1rx5c/z55585xiMjI9GkSRMBiQpGy5Yt8e677+LQoUNQ/9n27dChQ3j//fc1+xr3MWPGYNiwYVi3bh1UVcWBAwcwY8YMjBs3DmPGjBEdL9+io6MxevRoWFhYwMLCAg8ePEClSpUwc+ZMjBs3TnQ8ekp6ejpCQkLg5+eH6tWr48iRI5gxYwYuXbokOho95dGjRwgMDNTUHhL/JioqClOmTMGlS5ewbt06tGnTBoqiiI6VL23btsXYsWPx559/4rPPPoONjY3B929sbCzc3NwEJqR/I+O8fJrM9YdstYeM5/2nsf7QBvaXRC9J7I1l8lu0aJFavnx5ddiwYeqqVavUVatWqcOGDVMdHBzURYsWqVu2bNH/aElqaqr61ltvqYqiqFZWVqqVlZWq0+nUt956S71y5YroeEZbsmSJWrlyZVVRFFVRFPW1115Tly1bJjpWgShXrpx66tQpVVVVtWrVqurvv/+uqqqqxsXFqSVKlBAZjf6xb98+ddCgQWrJkiXVWrVqqbNmzVItLCzUEydOiI5Gz1G6dGn9I0dkmlJTU9U33nhDVRRFtbOzUzdt2mRwvEWLFuq4ceMEpSN6TNb6Q8baQ8bzPusPbWF/SfRy+DbGQqbTvdzNc4qiaPLW54SEBMTHx0NVVXh6eqJq1aqiIxWIa9euITs7Gw4ODqKjFJjWrVtj4MCB6NOnD4YMGYKjR48iKCgIq1atwo0bN/DXX3+JjmjWvLy8kJGRgT59+qBfv376R1csLS0RExOj+UdZZBUYGAgfHx+MGjVKdBT6F7du3ULJkiVhYWFhMJ6WloaSJUvCyspKUDKi/5Gt/pCx9pDtvM/6Q3vYXxK9HC52Ef1jypQp6Nevn7SPsxw6dAh37tyBv78/rl69ioCAAERGRsLd3R3Lly9HjRo1REfMk//85z+oW7cuxo4dazD+9ddf48CBA9iwYYOgZMaxsrJCr1690L9/f7Rq1Ur/iA6LTdM2Y8YMzJo1Cy1btkSdOnVga2trcFyrbxojoqIjc/0hW+0ByHfeZ/1BVHhk61e0hotdZJSsrCyEhoYiLCwMqampyM7ONji+a9cuQcmM5+vrixMnTqBevXro168fevbsifLly4uORc9Rvnx57Nq1Cz4+Pgbjx44dQ6tWrTS3keXff/+N0NBQLF++HPfu3UPv3r3Rt29fNGjQANHR0Sw2TZSLi8tzjymKIu2+LkRUcFh/aIts533WH2QqZOwvZetXtIYb1BeBiIgIvP3223B3d8frr7+Ojh075rqpoJaMGDECI0aMQFZWFry9vVGjRg2DHy2KjY1FbGwsWrRogTlz5uDVV19Fu3btsHr1amRkZIiOZ7R79+5h69atuHPnTo5jt2/fxtatW/HgwQMByfLn7t27uT52ZGlpidu3bwtIlD+vvvoqxo8fjzNnzmDVqlW4fPky/Pz8kJmZidDQUCQkJIiOSLlISkp67o/WGh4iEkPG+kPW2gOQ77zP+kOb2F9qg2z9itbwzq5C9v333yMwMBBdu3aFn58fVFXFvn37sHnzZoSGhqJPnz6iIxqlXLlyWLlyJdq1ayc6SqHZu3cvVq9ejQ0bNuD+/fuaPSHNmzcPW7duRVhYWK7HW7VqhS5dumDYsGFFnCx/6tWrh7fffhsTJ040GJ88eTK2bduGw4cPC0pWcG7duoUffvgBISEhOHLkCLy9vREbGys6Fj3Hk69TWd4Sd//+fcTGxuZ6dbVjx46CUpG5M4d5KUP9IWvt8SzZzvtPsP4wbewvtcMc+hWTJmJXfHPi4eGhzpkzJ8f47NmzVQ8PDwGJCoaTk5P+7TqyOnr0qDp69Gj11VdfVa2trUXHMVq9evXUrVu3Pvf4tm3b1Hr16hVhooKxZcsWtVixYuqAAQPU0NBQNTQ0VO3fv79arFgxdfPmzaLjFbijR4+qw4cPFx2DcrFixQrV29tbLV68uFq8eHHVx8dHXblypehY+fLbb7+p5cuX178Z7ukfnU4nOh6ZKXOZlzLUH7LWHk/IeN5/HtYfpof9pXaYW79iarjYVcisrKzU06dP5xg/ffq0Wrx4cQGJCsasWbPUoUOHqtnZ2aKjFKjExER1+vTpqqenp2phYaH6+/urS5cuVW/evCk6mtHs7e3V8+fPP/f4+fPnVXt7+yJMVHB+/vlntXHjxqqNjY36yiuvqP7+/uru3btFxyIzMnv2bNXGxkb95JNP1C1btqg//fSTOmbMGNXGxibXQlQr3Nzc1KFDh6qXL18WHYVIT+Z5KVv9IXPtIet5n7SD/aW2sF8Rp5joO8tkV6lSJYSFhcHd3d1gPCwsDJUqVRKUKv8iIyMRHh6O3377DdWrV4elpaXB8U2bNglKZrxGjRrhwIED8PHxQWBgIPr06YNXX31VdKx8y8zMxNWrV1G5cuVcj1+9ehWZmZlFnKpgtG/fHu3btxcdg8zYggULsGjRIgwYMEA/1qlTJ1SvXh2TJ0/GyJEjBaYzXmpqKkaNGoUKFSqIjkKkJ+u8lLH+kLn2kPW8T9rB/lJb2K+Iw8WuQjJo0CDMmzcPo0ePRlBQEKKjo9G4cWMoioLIyEiEhoZi3rx5omMazd7eHl26dBEdo0D5+/tj2bJlqF69uugoBap69erYuXMn6tSpk+vxP/74Q7q/M1FRSUlJQePGjXOMN27cGCkpKQISFYz//Oc/2L17N9zc3ERHIdKTdV7KWH/IXHvIet4n08f+kihvuEF9IbGwsEBKSgocHBywefNmzJ49G3FxcQAAT09PjBkzBp06dRKckszBkiVLMGrUKKxduxYdOnQwOLZt2zb07t0bc+bMwXvvvSco4csrW7YsEhISUK5cOZQpU+aFG8KmpaUVYTIyV97e3ujTpw/GjRtnMD59+nSsW7cOx44dE5QsfzIyMtC9e3eUL18ePj4+Oa6uBgUFCUpG5ozzUjtkqj2eJet5n0wf+0ttYL9iOrjYVUh0Oh0uX74MBwcH0VHoBUaNGoVp06bB1tYWo0aNeuFn58yZU0SpCl6/fv2wevVqeHh4oFq1alAUBXFxcUhISECPHj2wZs0a0RFfyooVK9CrVy8UL14coaGhL/zyCAgIKMJkZK5+/PFH9OzZE61atYKfn5/+6mpYWBjWr1+v2SuUy5Ytw5AhQ1CiRAm88sorBv+tKYqCxMREgenIXMk0L82h/pCl9niWrOd9Mn3sL7WB/Yrp4GJXIdHpdLhy5QrKly8vOkqh2bhxI9avX4/k5GQ8fPjQ4NiRI0cEpcobf39/bN68Gfb29vD393/hZ8PDw4soVeFYv349Vq9ejdOnT0NVVVStWhV9+vRBjx49REejZyQnJ8PS0hJOTk76sZSUFDx69Oi5+5+QOIcPH8Y333yDuLg4qKoKLy8vjB49GrVq1RIdzWiOjo4ICgrC2LFjodPpRMchAiDXvDSX+kPW2kPG8z7A+sPUsb/URn9JpoOLXYVEp9OhdOnSL1zJBbR76+L8+fMxfvx4BAQEYOnSpQgMDMTZs2dx8OBBDBs2DDNmzBAdkSR35MgRWFpawsfHBwCwZcsWLF++HF5eXpg8eTKsrKwEJzSeTqeDh4cHTp48qR/z9PREQkICsrKyBCYjc1G2bFkcPHhQur2RSNs4L4kKF+sP08b+Unv9pcz9ihZwsauQ6HQ6zJ07F6VLl37h57R666KHhwcmTZqE3r17w87ODjExMXB1dcXEiRORlpaGhQsXio6YZ082fbSzszMYT09Px/DhwxESEiIoGeWmXr16GDt2LLp164bExER4eXmha9euOHjwINq3b4+5c+eKjmi0iIgI2NjYoF69evqxgwcPIiMjA82aNROYjHKTnZ2NM2fOIDU1FdnZ2QbHmjZtKihV/owcORLly5fPsScNkUiyzkvWH9oj43kfYP1h6thfaq+/lLlf0QIudhUS2Z+ptrGxQVxcHJydneHg4IA//vgDNWrUwOnTp9GwYUNcv35ddMQ8e3rTx6ddu3YNjo6Omn1FtqxKly6NI0eOwM3NDf/3f/+HXbt2Yfv27di7dy969eqFCxcuiI5IZiAqKgp9+vTB+fPn8ezXqaIomr0SHhQUhJUrV6JGjRrw9fXNsRG4VvcQIm2TdV6y/tAWWc/7ZPrYX2qvv2S/IlYx0QFk9W+3l2qdo6Mjrl+/DmdnZzg7OyMqKgo1atRAUlJSji9+U3f79m2oqgpVVXHnzh1YW1vrj2VlZeHXX3+V9ktFy1RV1V9N3blzp/5tT5UqVcK1a9dERiMzMmTIENStWxe//PILnJycpDn3Hzt2TL/3zPHjxw2OyfJ3JO2RbV6y/tAmWc/7ZPpkn2sy9ZdPsF8Ri4tdhUSr/0G+rBYtWmDbtm2oXbs2Bg8ejJEjR2Ljxo04dOgQunbtKjpentjb20NRFCiKgqpVq+Y4rigKpkyZIiAZvUjdunUxffp0tGrVChEREVi0aBEAICkpCRUqVBCczjgxMTHYtm0bypYtix49eqBcuXL6Y7dv38ZHH33Ex1lMzOnTp7Fx40a4u7uLjlKgtLwhNslLtnnJ+kObZDzvs/7QBvaX2iNjv6IlfIyRjJKdnY3s7GwUK/Z4vXT9+vWIjIyEu7s7hgwZoqnN9iIiIqCqKlq0aIEff/wRZcuW1R+zsrKCs7MzKlasKDBhwbl58ybOnDkDRVHg5uYGe3t70ZGMFhsbi759+yI5ORmjRo3CpEmTAADDhw/H9evXsXr1asEJ82bHjh14++238frrr+POnTvIyMjA+vXr9W/punLlCipWrMjHI0xMixYt8Mknn6Bt27aioxSKM2fO4OzZs2jatClKlCgBVVWlv7JMpk+WeWku9YdMtQcg33mf9QeZCpn6yydk61e0hotdZJQLFy6gUqVKuR6LiopCw4YNizhR/p0/fx6VK1fWZMH8b86dO4dhw4Zh+/bt+qtCiqKgbdu2WLhwIapUqSI2YAG6f/8+LCwscuzlYuoaN24Mf39/zJgxA6qqYtasWZg6dSo2bNiAtm3bstg0IbGxsfo/nz17Fp9//jnGjBkDHx+fHPPO19e3qOMViOvXr6NHjx4IDw+Hoig4ffo0XF1dMXjwYNjb22P27NmiI5IZknVeylp/yFR7yHzeZ/1BpkLG/vJ5tNqvaA0Xu8goHh4e2Lt3L1555RWD8b1796J9+/a4efOmmGB59HTx8m+0Vrw8ceHCBdSrVw+WlpYYOnQoPD09oaoq4uLisGjRImRmZuLgwYN47bXXREfNkwsXLkBRFH3uAwcOYPXq1fDy8sJ7770nOF3ePb2B5RNr1qzBu+++izVr1qB+/fosNk2ETqeDoijPfZzgyTEtb1Q8YMAApKamYtmyZfD09NS/EWnHjh0YOXIkTpw4IToimSGZ5qXs9YdstYfM533WH2QqZOkvnyZbv6I13LOLjNKkSRO0bt0au3fv1r8qe8+ePejQoYOm9peoWbPmC4uXJ7RYvDwxadIkVKtWDdu3bzfY/LZLly4YOXIk2rZti0mTJiE4OFhgyrzr06cP3nvvPfTv3x+XL1/Gm2++ierVq+P777/H5cuXMXHiRNER86R48eI5vsR79+4NnU6HXr16afaOBRklJSWJjlDoduzYge3bt+doRF9//XWcP39eUCoydzLNS9nrD9lqD5nP+6w/yFTI0l8+TbZ+RWu42EVGWbJkCbp374727dtjx44d2L9/Pzp27Ijp06djxIgRouO9NJmLlyd+//13rF+/3qDYfKJEiRKYNm0aevXqJSBZ/hw/fhz169cH8PiZfm9vb+zduxc7duzAkCFDNPflUbNmTYSHh6NOnToG4z179kR2djYCAgIEJaNnOTs7Y9CgQZg3b56+GJNNeno6bGxscoxfu3YNxYsXF5CISK55KXv9IVvtIfN5n/UHmQpZ+sunydavaA0Xu8goiqJgzZo1aN++PVq2bInY2Fh8+eWX+PDDD0VHyxNnZ2fREQrd9evXX7gvhqurK65fv150gQrIo0eP9M3Nzp070bFjRwCPb4FOSUkRGc0oH3zwAfbs2ZPrsd69ewN4XASQaVixYgW++uor6ZqeJ5o2bYqVK1di2rRpAB6f87Ozs/H111/rNy0mKmoyzUvZ6w8Zaw9Zz/usP8hUyNJfPk22fkVruGcXvbTc9pe4c+cOevfujfbt2+ODDz7Qj2txf4mVK1e+8PiAAQOKKEnBcnFxweLFi9GmTZtcj//+++8YMmQIzp07V7TB8qlBgwbw9/dH+/bt0bp1a0RFRaFGjRqIiorCf/7zH1y8eFF0RJKYTqfD5cuX4eDgIDpKoTh58iSaN2+OOnXqYNeuXejYsSNOnDiBtLQ07N2712BvF6KiIuu8lLH+kLH2kP28TySC7P0l+xWxuNhFLy23zTmf/l3Lm3MCQJkyZQx+f/ToETIyMmBlZQUbGxukpaUJSpY/H330EXbt2oWwsDCUL1/e4FhqairefPNN+Pv7Y+7cuWICGmn37t3o0qULbt++jYCAAISEhAAAxo0bh/j4eGzatElwQpKZTqfDlStXcvw3JZPLly9j0aJFOHz4MLKzs1G7dm0MGzYMTk5OoqORGZNxXspYf8hYe5jDeZ+oqMneX7JfEYuLXfTS8rL5qyy3558+fRoffPABxowZ89yrk6buxo0baNCgAS5fvox+/frBw8MDwOMr5KtXr4ajoyOioqJQtmxZwUnzLisrC7dv3zZoFM6dOwcbGxteeaVCpdPpULp0aSiK8sLPabFJJSLxtF5/yFh78LxPVPDMob9kvyIOF7uI/sWhQ4fQr18/xMfHi45itBs3bmDcuHFYt26d/o079vb26NGjB2bMmJHjFb9E9GI6nQ5z585F6dKlX/g5rW3sm5aWhoyMDIO33Z04cQKzZs1Ceno6OnfujD59+ghMSObIXOel1usP2WoPWc/7RESy4mIX5cvJkyeRnJyMhw8fGow/2XxPBkePHkWzZs1w+/Zt0VHyTVVVXL16FQBQvnz5f706aeo2btyI9evX5zoHjxw5IigVmQNZ927p3bs3nJycMGfOHACPHzfy8PBAxYoV4ebmht9++w3BwcHo37+/4KRkTsx1XspSf8hSe8h63icyNbL1l+xXxOHbGMkoiYmJ6NKlC44dO5bjuWoAmnymeuvWrQa/q6qKlJQULFy4EH5+foJSFSxFUaQp0ubPn4/x48cjICAAW7ZsQWBgIM6ePYuDBw9i2LBhouMVmKysLBw7dgzOzs459nUhcbTarP2bqKgoLF++XP/7ypUrUbZsWURHR6NYsWKYNWsWvv32W+kWFci0yT4vZa8/ZKk9ZD3vPw/rDypqMvaX5tKvmCyVyAgdOnRQO3XqpKampqolS5ZUT548qf75559q/fr11T179oiOZxRFUQx+dDqdWqFCBbV3797qpUuXRMejZ1SrVk1dvXq1qqqqWrJkSfXs2bOqqqrqhAkT1GHDhomMli8jRoxQly1bpqqqqmZmZqp+fn6qoiiqra2tGh4eLjYc6SmKol65ckV0jAJnbW2tnjt3Tv/7W2+9pX788cf630+dOqWWLVtWRDQyY7LPS9Yf2iDref8J1h8kmoz9paz9ilboRC+2kTbt378fU6dORfny5aHT6aDT6fDGG2/gyy+/RFBQkOh4RsnOzjb4ycrKwuXLl7F69WpNv+VJVsnJyWjcuDEAoESJErhz5w4AoH///lizZo3IaPmyceNG1KhRAwCwbds2JCUlIT4+Hh999BHGjx8vOB09kZ2dLcWdCs8qVaqUfm8dADhw4AAaNmyo/11RFDx48EBAMjJnss9L1h/aIOt5/wnWHySajP2lrP2KVnCxi4ySlZWFkiVLAgDKlSuHS5cuAXj8loxTp06JjEZmwtHREdevXwfweN5FRUUBAJKSkgxeX6w1165dg6OjIwDg119/Rffu3VG1alUMHjwYx44dE5yOZFe/fn3Mnz8f2dnZ2LhxI+7cuYMWLVrojyckJKBSpUoCE5I54rwkKnysP0g0GftLWfsVreCeXWQUb29vxMbGwtXVFQ0aNMDMmTNhZWWFJUuWwNXVVXS8PJk6depLfW7ixImFnITyokWLFti2bRtq166NwYMHY+TIkdi4cSMOHTqErl27io5ntAoVKuDkyZNwcnLC77//jv/+978AgIyMDFhYWAhOR7KbNm0aWrVqhe+//x6ZmZkYN26cwV4ta9euRbNmzQQmJHMk67xk/UGmhPUHiSZTf/mErP2KVvBtjGSU7du3Iz09HV27dkViYiI6dOiA+Ph4vPLKK1i3bp3BFVdTp9PpULFiRTg4ODx3hV1RFCnelpGcnAxLS0uDxyJSUlLw6NEjVK5cWWCyvHvyuEexYo/X7NevX4/IyEi4u7tjyJAhsLKyEpzQOJMnT8bcuXPh5OSEjIwMJCQkoHjx4ggJCcHSpUuxf/9+0RFJclevXsW+ffvg6OiIBg0aGBz75Zdf4OXlBRcXF0HpyFzJOC/Npf6QqfaQGesPEk2m/vIJWfsVreBiF+XJzp074efnhxIlSuQ4lpaWhjJlymjubTXt2rVDeHg42rRpg0GDBqF9+/bSXsHS6XTw8PDAyZMn9WOenp5ISEjQ1BtOMjMzMWPGDAwaNEjKR1c2btyICxcuoHv37njttdcAACtWrIC9vT06deokOB0RERUEc6k/ZKk9zAHrDxJBxv4SkL9f0QIudlGe6HQ6WFlZoX79+vD394e/vz8aN26s+VXplJQUhIaGIjQ0FLdv38aAAQMwaNAgVKtWTXS0AhUREQEbGxvUq1dPP3bw4EFkZGRo7hGQkiVL4vjx46hSpYroKEREREYxh/pDptqDiAqerP0lwH5FNC52UZ78/fff2LVrFyIiIhAeHo6kpCRYW1ujUaNG+pNTgwYN9LdqatGePXuwfPly/Pjjj/Dx8cHOnTtzvdKgJZmZmfjhhx/Qpk0b/eajWte5c2d07twZAwcOFB2lwIWFhSEsLAypqanIzs42OBYSEiIoFRERFSbZ6g8Zaw/Zsf4gEWTuL2XuV7SAi12ULxcuXEB4eDh2796N3bt34/z587CxsdG/VlWL7t27hw0bNuDbb7/FsWPHcPnyZZQqVUp0rHyzsbFBXFwcnJ2dRUcpEN999x0mT56Mvn37ok6dOrC1tTU43rFjR0HJ8mfKlCmYOnUq6tatCycnpxy3bW/evFlQMiIiKkwy1h+y1R4yY/1BpkKm/lLWfkUruNhF+Xb27Fns2rULu3fvxs8//4ysrCzcvXtXdKw8279/P0JCQrB+/XpUrVoVgYGB6NOnD+zt7UVHKxD+/v4YMWIEOnfuLDpKgdDpdM89piiKZvcBcXJywsyZM9G/f3/RUYiIqAjIXH/IVnvIjPUHmRJZ+ktZ+xWt0N69gCRcYmIidu/ejfDwcISHh+POnTto3LgxmjZtimHDhhnsyaAFM2fOxPLly3H9+nX07dsXkZGR8PHxER2rwA0dOhSjR4/GxYsXc72y4OvrKyiZcZ69vV4WDx8+ROPGjUXHICKiQmYO9YdstYfMWH+QSLL1l0/I2q9oBe/sojxxdnbG7du38cYbb6Bp06Zo1qwZ6tSpo+m3B+l0OlSuXBkdOnR44UaIc+bMKcJUBS+3KwuKokBVVV5ZMCGffvopSpYsiQkTJoiOQmbO398fzs7OCA0N1Y8FBATgwoUL2LVrl7hgZNZkmpfmUH+w9tAO1h8kioz9JZkG3tlFefLgwQMAjwsVCwsLWFhYvPD2TC1o2rQpFEXBiRMnnvsZLb7u9llJSUmiIxSoqVOnvvD4xIkTiyhJwbp//z6WLFmCnTt3wtfXF5aWlgbHtdz0kLZUqVIFTk5OBmOvvvqq5s/5pG0yzUtzqD9kqz1kxvqDRJGxv3xC1n5FK3hnF+VZfHy8/jbTiIgI3L9/H2+88QaaN2+uX4mX5QRFpqtWrVoGvz969AhJSUkoVqwY3NzccOTIEUHJ8sff3/+5xxRF0dydC0RERGT6WH+QSLL2l7L2K1rBxS7Kt7i4OP0bM7Zv3w5FUXDz5k3Rseg5Tp48ieTkZDx8+NBgXIa3gdy+fRsDBw5Ely5duMEqERGRiZC59iCigidzf8l+pehwsYvy5cqVKwabCZ4+fRrFixfHvXv3REejZyQmJqJLly44duyYfr8M4H+PSMiyb8bx48fRoUMHnDt3TnSUfLt48SIURcGrr74qOgqZofT0dEREROTaoAYFBQlKReaO81JbzKX2kA3rDxLJHPpLmfoVU8Y9uyhPUlNTsXv3bv0JKCEhAZaWlqhfvz569eoFf39/NGrUSHRMysWIESPg4uKCnTt3wtXVFQcOHMD169cxevRozJo1S3S8AnPz5k3cunVLdAyjZWdnY/r06Zg9e7b+Fct2dnYYPXo0xo8fr8lbuEl7jh49inbt2iEjIwPp6ekoW7Ysrl27BhsbGzg4OHBRgYTgvNQec6k9ZMD6g0Qxx/5S6/2KVnCxi/LE0dERlpaWqFu3Lrp164bmzZvDz88PJUqUEB2N/sX+/fuxa9culC9fHjqdDjqdDm+88Qa+/PJLBAUF4ejRo6Ij5sn8+fMNfldVFSkpKVi1ahXatm0rKFX+jR8/HsHBwfjqq6/g5+cHVVWxd+9eTJ48Gffv38eMGTNERyQzMHLkSLz99ttYtGgR7O3tERUVBUtLS/Tr1w8jRowQHY/MFOel9shWe8iM9QeJInN/KWu/ohV8jJHyZPv27XjjjTdga2srOgrlUZkyZXD48GG4urrCzc0Ny5Ytg7+/P86ePQsfHx9kZGSIjpgnLi4uBr/rdDqUL18eLVq0wGeffQY7OztByfKnYsWKWLx4cY59TLZs2YKhQ4fi77//FpSMzIm9vT3++usvVKtWDfb29ti/fz88PT3x119/ISAgAPHx8aIjkhnivNQe2WoPmbH+IFFk7i9l7Ve0gnd2UZ60adNGdIRCdfPmTQQHByMuLg6KosDT0xODBw9G6dKlRUfLN29vb8TGxsLV1RUNGjTAzJkzYWVlhSVLlsDV1VV0vDyT9XXmaWlp8PDwyDHu4eGBtLQ0AYnIHFlaWur31KlQoQKSk5Ph6emJ0qVLIzk5WXA6Mlcyz0tZ6w/Zag+Zsf4gUWTuL2XtV7SCi11E/zh06BDatGmDEiVKoH79+lBVFd988w2++OIL7NixA7Vr1xYdMV8+//xzpKenAwCmT5+ODh06oEmTJnjllVewdu1aweleXteuXf/1M8WKFYOjoyPefPNNvP3220WQquDUqFEDCxcuzHHb88KFC1GjRg1Bqcjc1KpVC4cOHULVqlXh7++PiRMn4tq1a1i1ahV8fHxExyMzJeu8lLn+kKX2MAesP4gKjuz9ilbwMUaifzRp0gTu7u5YunQpihV7vA6cmZmJd955B4mJidizZ4/ghAUvLS0NZcqU0V8p14LAwMB//Ux2djZSU1MRERGBjz/+GFOnTi2CZAUjIiIC7du3R+XKldGoUSMoioJ9+/bhwoUL+PXXX9GkSRPREckMHDp0CHfu3IG/vz+uXr2KgIAAREZGwt3dHcuXL2fjQ0LIOi/Nrf7QYu1hDlh/EBUc2fsVreBiF9E/SpQogaNHj+a4hfvkyZOoW7eu5veVGDRoEObNm5fj2fD09HQMHz4cISEhgpIVnl9++QUffPCB5h5vuXTpEr799lvEx8dDVVV4eXlh6NChqFixouhoRERUwGSuP8yx9tAy1h9ERU+r/YoWcLGL6B8VKlTAqlWr0Lp1a4Px7du3Y8CAAbhy5YqgZAXDwsICKSkpcHBwMBi/du0aHB0dkZmZKShZ4bl58yYGDRqETZs2iY5CRESUK5nrD3OsPYiI8oL9SuHhnl1ktOTkZFhaWsLJyUk/lpKSgkePHqFy5coCkxmnZ8+eGDx4MGbNmoXGjRtDURRERkZizJgx6N27t+h4Rrt9+zZUVYWqqrhz5w6sra31x7KysvDrr7/mKEJlYW9vr4kvjtjYWHh7e0On0yE2NvaFn/X19S2iVGTOrly5go8//hhhYWFITU3Fs9fFsrKyBCUjcybrvJSx/jDn2kNLWH+QqZGtv3wZWulXtIh3dpHRdDodPDw8cPLkSf2Yp6cnEhISNFlwPnz4EGPGjMHixYv1VxotLS3xwQcf4KuvvkLx4sUFJzSOTqd74b4YiqJgypQpGD9+fBGmoqfpdDpcvnwZDg4O+n9fuZ2aFUXR5H9bpD1vvfUWkpOT8eGHH8LJySnHOaRTp06CkpE5k3Veylh/sPbQBtYfZGpk6y9JLC52kdEiIiJgY2ODevXq6ccOHjyIjIwMNGvWTGCy/MnIyMDZs2ehqirc3d1hY2MjOlK+REREQFVVtGjRAj/++CPKli2rP2ZlZQVnZ2fuxSDY+fPnUblyZSiKgvPnz7/ws87OzkWUisyZnZ0d/vzzT9SsWVN0FCI92eelTPUHaw9tYP1BpkbW/pLE4GIXkZk4f/48KlWqBJ1OJzoKEZk4Ly8v/PDDD6hVq5boKER6nJfaw9qDiIhE4WIX0T/S09Px1Vdf6fcCyc7ONjiemJgoKFnBysjIQHJyMh4+fGgwzr0YTEdCQgJ2796d6zycOHGioFRkTnbs2IHZs2fju+++Q5UqVUTHIQIg77w0h/qDtYc2sP4gIplwsYuMtnHjRqxfvz7X4uXIkSOCUhmvd+/eiIiIQP/+/XPdC2TEiBGCkhWMq1evIjAwEL/99luux/kcvGlYunQpPvjgA5QrVw6Ojo4G81BRFE3+t0XaUKZMGYP5lp6ejszMTNjY2MDS0tLgs2lpaUUdj8yUOcxLmesP1h7awfqDTIFs/SWJxbcxklHmz5+P8ePHIyAgAFu2bEFgYCDOnj2LgwcPYtiwYaLjGeW3337DL7/8Aj8/P9FRCsVHH32EGzduICoqCv7+/ti8eTOuXLmC6dOnY/bs2aLj0T+mT5+OGTNm4NNPPxUdhczM3LlzRUcgysEc5qXM9QdrD+1g/UGiydhfkli8s4uM4uHhgUmTJqF3796ws7NDTEwMXF1dMXHiRKSlpWHhwoWiI+aZi4sLfv31V3h6eoqOUiicnJywZcsW1K9fH6VKlcKhQ4dQtWpVbN26FTNnzkRkZKToiASgVKlSiI6Ohqurq+goRERUBGSuP1h7aAfrDxJNxv6SxOJukWSU5ORkNG7cGABQokQJ3LlzBwDQv39/rFmzRmQ0o02bNg0TJ05ERkaG6CiFIj09HQ4ODgCAsmXL4urVqwAAHx8f3hZsQrp3744dO3aIjkGE7OxsJCQkIDIyEnv27DH4IRJFxnkpc/3B2kM7WH+QaDL2lyQWH2Mkozg6OuL69etwdnaGs7MzoqKiUKNGDSQlJUGrNwvOnj0bZ8+eRYUKFVClSpUce4FovSirVq0aTp06hSpVqqBmzZr6DX4XL14MJycn0fHoH+7u7pgwYQKioqLg4+OTYx4GBQUJSkbmJCoqCn369MH58+dznNMVReE+OySErPNS5vqDtYd2sP4g0WTsL0ksLnaRUVq0aIFt27ahdu3aGDx4MEaOHImNGzfi0KFD6Nq1q+h4RuncubPoCIXqo48+QkpKCgBg0qRJaNOmDX744QdYWVkhNDRUbDjSW7JkCUqWLImIiAhEREQYHFMUhcUmFYkhQ4agbt26+OWXX3LdMJtIBFnnpcz1B2sP7WD9QaLJ2F+SWNyzi4ySnZ2N7OxsFCv2eL10/fr1iIyMhLu7O4YMGQIrKyvBCenfZGRkID4+HpUrV0a5cuVExyEiE2Jra4uYmBi4u7uLjkKkx3mpfaw9iOh52F9SQeNiF+VZZmYmZsyYgUGDBqFSpUqi49BLioiIQLNmzUTHICINaNGiBT755BO0bdtWdBQiPc5L7WHtQUQvg/0lFQYudpFRSpYsiePHj6NKlSqio9BLsrKygqOjI/r06YN+/frB29tbdCT6x6hRozBt2jTY2tpi1KhRL/zsnDlziigVmbPNmzfj888/x5gxY3Ldu8XX11dQMjJnnJfaw9rDtLH+IFPC/pIKGhe7yCidO3dG586dMXDgQNFR6CVdu3YNa9euxZo1a7B//354e3ujX79+6NOnD1577TXR8cyav78/Nm/eDHt7e/j7+z/3c4qiYNeuXUWYjMyVTpfzZc2KokBVVU1vBE7axnmpPaw9TBvrDzIl7C+poHGxi4zy3XffYfLkyejbty/q1KkDW1tbg+MdO3YUlIxeRlJSElavXo01a9YgPj4eTZs2ZRFDRHrnz59/4XFnZ+ciSkL0P5yX2sbag4hehP0lFTQudpFRcru6+oQMV1ef/Gchy5uecpOVlYXffvsNEyZMQGxsrOb/nREREWmd7PUHaw8ieh7Z+0sqesVEByBtys7OFh2hUKxcuRJff/01Tp8+DQCoWrUqxowZg/79+wtOVnD27t2LH374ARs3bsT9+/fRsWNHfPHFF6Jjmb1Bgwa91OdCQkIKOQnR/5w8eRLJycl4+PChwTivrpJIMs5L2esP1h6mi/UHmQpZ+0sSh4tdRP+YM2cOJkyYgA8//BB+fn5QVRV79+7FkCFDcO3aNYwcOVJ0xHwZN24c1qxZg0uXLqFVq1aYO3cuOnfuDBsbG9HRCEBoaCicnZ1Rq1Yt8IZbEi0xMRFdunTBsWPH9HsiAf+724RXV0kEWeelzPUHaw/Tx/qDiGTFxxjJKPPnz891XFEUWFtbw93dHU2bNoWFhUURJzOei4sLpkyZggEDBhiMr1ixApMnT0ZSUpKgZAWjcePG6Nu3L3r27Ily5coZHIuOjkbNmjXFBCMAwNChQ7F27VpUrlwZgwYNQr9+/VC2bFnRschMvf3227CwsMDSpUvh6uqKAwcO4Pr16xg9ejRmzZqFJk2aiI5IZkjWeSlz/cHaw/Sx/iBTIWN/SWJxsYuM4uLigqtXryIjIwNlypSBqqq4efMmbGxsULJkSaSmpsLV1RXh4eGoVKmS6LgvxdraGsePH4e7u7vB+OnTp+Hj44P79+8LSlY4bt26hR9++AHLli1DTEyMZq+Iy+TBgwfYtGkTQkJCsG/fPrRv3x6DBw9G69atpd2/hUxTuXLlsGvXLvj6+qJ06dI4cOAAqlWrhl27dmH06NE4evSo6IhkhmSdl+ZUf7D2ME2sP8gUyNhfkljP3wWO6AW++OIL1KtXD6dPn8b169eRlpaGhIQENGjQAPPmzUNycjIcHR01deu9u7s71q9fn2N83bp1eP311wUkKhy7du1Cv3794OTkhAULFqBdu3Y4dOiQ6FgEoHjx4ujduzf++OMPnDx5EtWrV8fQoUPh7OyMu3fvio5HZiQrKwslS5YE8HiB4dKlSwAev+3u1KlTIqORGZN1XppD/cHaw7Sx/iBTIGN/SWJxzy4yyueff44ff/wRbm5u+jF3d3fMmjUL3bp1Q2JiImbOnIlu3boJTJk3U6ZMQc+ePbFnzx74+flBURRERkYiLCws1yJUSy5evIjQ0FCEhIQgPT0dPXr0wKNHj/Djjz/Cy8tLdDzKhaIo+j1puGEnFTVvb2/ExsbC1dUVDRo0wMyZM2FlZYUlS5bA1dVVdDwyU7LOS1nrD9Ye2sT6g0SRsb8ksXhnFxklJSUFmZmZOcYzMzNx+fJlAEDFihVx586doo5mtG7duuGvv/5CuXLl8NNPP2HTpk0oV64cDhw4gC5duoiOZ7R27drBy8sLJ0+exIIFC3Dp0iUsWLBAdCzKxYMHD7BmzRq8+eabqFatGo4dO4aFCxciOTlZfzcDUVH4/PPP9U3O9OnTcf78eTRp0gS//vrrc/fUICpsss5LGesP1h7awvqDTIGM/SWJxT27yCjt27fH5cuXsWzZMtSqVQsAcPToUbz77rtwdHTEzz//jG3btmHcuHE4duyY4LTmrVixYggKCsIHH3xg8DiEpaUlYmJieHXVRDy9QWxgYCD69euHV155RXQsIr20tDSUKVOG+7eQSeG8NE2sPbSD9QeZCvaXVNC42EVGuXz5Mvr374+wsDBYWloCeLzq3rJlS6xatQoVKlRAeHg4Hj16hNatWwtO+/Kys7Nx5swZpKam5rh1u2nTpoJS5c/+/fsREhKC9evXw8PDA/3790fPnj1RsWJFFpwmRKfToXLlyqhVq9YLm7ZNmzYVYSoyR5mZmbC2tkZ0dDS8vb1FxyECIP+8lK3+YO2hHaw/yFTI2l+SOFzsonyJj49HQkICVFWFh4cHqlWrJjqS0aKiotCnTx+cP38ez/5noSiK5t8YlJGRgbVr1yIkJAQHDhxAVlYW5syZg0GDBsHOzk50PLM3cODAl7ozYfny5UWQhsydm5sbNm3ahBo1aoiOQqQn67yUuf5g7WH6WH+QqZGpvySxuNhF+fLw4UMkJSXBzc0NxYpp+30HNWvWRNWqVTFlyhQ4OTnl+OIvXbq0oGQF79SpUwgODsaqVatw8+ZNvPnmm9i6davoWERkIpYvX44NGzbg+++/R9myZUXHIQIg77w0l/qDtQcRvQyZ+ksSi4tdZJSMjAwMHz4cK1asAAAkJCTA1dUVQUFBqFixIsaOHSs4Yd7Z2toiJiYG7u7uoqMUmaysLGzbtg0hISEsOIlIr1atWjhz5gwePXoEZ2dn2NraGhw/cuSIoGRkzmSdl+ZWf7D2IKLcyNhfklhcKiWjfPbZZ4iJicHu3bvRtm1b/XirVq0wadIkTZ6MGjRogDNnzphNsQkAFhYW6Ny5Mzp37iw6ChGZEJ4TyBTJOi/Nrf5g7UFEuZGxvySxeGcXGcXZ2Rnr1q1Dw4YNYWdnh5iYGLi6uuLMmTOoXbs2bt++LTriS4mNjdX/+ezZs/j8888xZswY+Pj46DdGfMLX17eo4xERmZzMzEw+VkAmR2vzkvUHEZEhWfpLMh3aqQrIpFy9ehUODg45xtPT0zX1+u+aNWtCURSDDWEHDRqk//OTY1rfIJaIKL9OnjyJ4OBgfP/997hy5YroOEQAtDsvWX8QERmSpb8k08HFLjJKvXr18Msvv2D48OEAoD8BLV26FI0aNRIZLU+SkpJERyAiMll3797F2rVrERwcjIMHD6Jhw4Z8jICEk2Fesv4gIjIkS39JpoOLXWSUL7/8Em3btsXJkyeRmZmJefPm4cSJE9i/fz8iIiJEx3tpzs7OoiMQEZmcyMhILFu2DD/++CNcXFxw8uRJREREwM/PT3Q0MmMyzUvWH0REhmTpL8l0cLGLjNK4cWPs3bsXs2bNgpubG3bs2IHatWtj//798PHxER3PaAkJCdi9ezdSU1ORnZ1tcGzixImCUhERFY2ZM2ciJCQEd+/eRe/evREZGYkaNWrA0tISZcqUER2PzJQ5zEvWH0Rk7mTtL0kcblBP9I+lS5figw8+QLly5eDo6GjwbLiiKJp9pTkR0csqVqwYPv30U0ydOhUWFhb6cUtLS8TExMDLy0tgOjJXss9L1h9EREQFj4tdRP9wdnbG0KFD8emnn4qOQkQkxBdffIHQ0FDcv38fvXv3Rv/+/eHt7S3NogJpk+zzkvUHERFRwdOJDkDaotPpYGFh8cIfLb36+2k3btxA9+7dRccgIhJm3LhxSEhIwKpVq3D58mU0bNgQNWrUgKqquHHjhuh4ZKZkn5esP4jInMncX5JYvLOL8mTLli3PPbZv3z4sWLAAqqri3r17RZiqYAwePBj16tXDkCFDREchIjIJd+7cwQ8//IDly5fj8OHDqF+/Pv7zn/9g1KhRoqORGZNtXrL+ICJzJnN/SWJxsYvyLT4+Hp999hm2bduGvn37Ytq0aahcubLoWHn25ZdfYs6cOWjfvj18fHxgaWlpcDwoKEhQMiIi8Y4dO4bg4GCsXr0aqampouMQAZBjXrL+ICIyJEt/SWJxsYuMdunSJUyaNAkrVqxAmzZt8OWXX8Lb21t0LKO5uLg895iiKEhMTCzCNEREpunRo0c5mnEi0bQ8L1l/EBE9Jlt/SWLx4VfKs1u3buGLL77AggULULNmTYSFhaFJkyaiY+VbUlKS6AhERCZPqwsKJDctz0vWH0Rk7mTtL0ksLnZRnsycORP/93//B0dHR6xZswadOnUSHYmIiIiIiIg0iP0lFRY+xkh5otPpUKJECbRq1QoWFhbP/dymTZuKMFXBuXjxIrZu3Yrk5GQ8fPjQ4NicOXMEpSIiIiKZsf4gInMle39J4vDOLsqTAQMGQFEU0TEKRVhYGDp27AgXFxecOnUK3t7eOHfuHFRVRe3atUXHIyIiIgmx/iAicyZzf0li8c4uon/Ur18fbdu2xdSpU2FnZ4eYmBg4ODigb9++aNu2LT744APREYmIilRqaipSU1ORnZ1tMO7r6ysoEZF885L1BxERUcHjYhfRP+zs7BAdHQ03NzeUKVMGkZGRqF69OmJiYtCpUyecO3dOdEQioiJx+PBhBAQEIC4uDk/KBEVRoKoqFEVBVlaW4IRkjmSdl6w/iIiICh4fYyT6h62tLR48eAAAqFixIs6ePYvq1asDAK5duyYyGhFRkQoMDETVqlURHByMChUq8PECMgmyzkvWH0RERAWPi11E/2jYsCH27t0LLy8vtG/fHqNHj8axY8ewadMmNGzYUHQ8IqIik5SUhE2bNsHd3V10FCI9Wecl6w8iIqKCx8Uuon/MmTMHd+/eBQBMnjwZd+/exbp16+Du7o5vvvlGcDoioqLTsmVLxMTESLeoQNom67xk/UFERFTwuGcXEYCsrCxERkbC19cXZcqUER2HiEioa9euISAgAPXr14e3tzcsLS0Njnfs2FFQMjJnMs5L1h9ERESFg4tdlC8nT55EcnIyHj58aDCuxYLT2toacXFxcHFxER2FiEiorVu3on///rhz506OY1reCJy0TdZ5yfqDiOh/ZOovSSw+xkhGSUxMRJcuXXDs2DH9m5AA6DeL1WLB6ePjg8TERBabRGT2goKC0L9/f0yYMAEVKlQQHYcIgLzzkvUHEZGc/SWJpRMdgLRpxIgRcHFxwZUrV2BjY4MTJ05gz549qFu3Lnbv3i06nlFmzJiBjz/+GD///DNSUlJw+/Ztgx8iInNx/fp1jBw5UqoFBdI+Wecl6w8iIjn7SxKLjzGSUcqVK4ddu3bB19cXpUuXxoEDB1CtWjXs2rULo0ePxtGjR0VHzDOd7n9rv0+/zlxVVU0/HkFElFcBAQFo0qQJ3nnnHdFRiPRknZesP4iI5OwvSSw+xkhGycrKQsmSJQE8PjFdunQJ1apVg7OzM06dOiU4nXHCw8NFRyAiMglVq1bFZ599hsjISPj4+OTYCDwoKEhQMjJnss5L1h9ERHL2lyQW7+wiozRp0gSjR49G586d0adPH9y4cQOff/45lixZgsOHD+P48eOiI+ZZcnIyKlWqZHBVFXh8ZfXChQuoXLmyoGREREXrRXsHKYqCxMTEIkxD9Jis85L1BxGRnP0licXFLjLK9u3bkZ6ejq5duyIxMREdOnRAfHw8XnnlFaxbtw4tWrQQHTHPLCwskJKSAgcHB4Px69evw8HBgY8REBERUYFj/UFEJGd/SWJxsYsKTFpaGsqUKZPjyqRW6HQ6XLlyBeXLlzcYP3/+PLy8vJCeni4oGRGRGA8fPkRSUhLc3NxQrBh3PiDTINu8ZP1BRJQ7rfeXJJb2KwQqcpmZmbC2tkZ0dDS8vb3142XLlhWYynijRo0C8PgRiAkTJsDGxkZ/LCsrC3/99Rdq1qwpKB0RUdHLyMjA8OHDsWLFCgBAQkICXF1dERQUhIoVK2Ls2LGCE5I5km1esv4gInpMtv6STIPu3z9CZKhYsWJwdnaW5rb6o0eP4ujRo1BVFceOHdP/fvToUcTHx6NGjRoIDQ0VHZOIqMh89tlniImJwe7du2Ftba0fb9WqFdatWycwGZkz2eYl6w8iosdk6y/JNPAxRjLK8uXLsWHDBnz//ffSrLgHBgZi3rx5KFWqlOgoRERCOTs7Y926dWjYsCHs7OwQExMDV1dXnDlzBrVr18bt27dFRyQzJOu8ZP1BRCRnf0li8TFGMsr8+fNx5swZVKxYEc7OzrC1tTU4fuTIEUHJjLd8+XKD32/fvo1du3bBw8MDHh4eglIRERW9q1ev5tgsGwDS09O5bwYJI+u8ZP1BRCRnf0licbGLjNK5c2fREQpcjx490LRpU3z44Ye4d+8e6tati3PnzkFVVaxduxbdunUTHZGIqEjUq1cPv/zyC4YPHw4A+oWEpUuXolGjRiKjkRmTdV6y/iAikrO/JLG42EVGmTRpkugIBW7Pnj0YP348AGDz5s1QVRU3b97EihUrMH36dBabRGQ2vvzyS7Rt2xYnT55EZmYm5s2bhxMnTmD//v2IiIgQHY/MlKzzkvUHEZGc/SWJxQ3qyWg3b97EsmXL8NlnnyEtLQ3A49tL//77b8HJjHPr1i398+G///47unXrBhsbG7Rv3x6nT58WnI6IqOg0btwYe/fuRUZGBtzc3LBjxw5UqFAB+/fvR506dUTHIzMl67xk/UFE9Jhs/SWJxTu7yCixsbFo1aoVSpcujXPnzuHdd99F2bJlsXnzZpw/fx4rV64UHTHPKlWqhP3796Ns2bL4/fffsXbtWgDAjRs3DN76RERkDnx8fLBixQrRMYgMyDgvWX8QEcnZX5JYXOwio4waNQoDBw7EzJkzYWdnpx9/66230KdPH4HJjPfRRx+hb9++KFmyJJydndG8eXMAjx8v8PHxERuOiEiA1NRUpKamIjs722Dc19dXUCIi+eYl6w8iIjn7SxJLUVVVFR2CtKd06dI4cuQI3NzcDF7/ff78eVSrVg33798XHdEohw8fRnJyMt58802ULFkSAPDLL7/A3t4efn5+gtMRERWNw4cPIyAgAHFxcXi2TFAUBVlZWYKSkTmTeV6y/iAicydrf0ni8M4uMoq1tTVu376dY/zUqVMoX768gEQFo06dOjn2/Wjfvr2gNEREYgQGBqJq1aoIDg5GhQoV9G+9IxJJ5nnJ+oOIzJ2s/SWJww3qySidOnXC1KlT8ejRIwCPr6gmJydj7NixmntrkJeXl34DRAB47733cPXqVf3vqampsLGxERGNiEiIpKQkzJw5Ew0aNECVKlXg7Oxs8EMkgmzzkvUHEdH/yNRfkmngYhcZZdasWbh69SocHBxw7949NGvWDO7u7rCzs8OMGTNEx8uT+Ph4ZGZm6n9fu3Yt7ty5o/9dVVXeNktEZqVly5aIiYkRHYPIgGzzkvUHEdH/yNRfkmngY4xklFKlSiEyMhK7du3CkSNHkJ2djdq1a6NVq1aio+VbbtvYyfSoBBHRv1m2bBkCAgJw/PhxeHt7w9LS0uB4x44dBSUjcyb7vGT9QUTmTOb+ksTgYhcZZeXKlejZsydatGiBFi1a6McfPnyItWvXYsCAAQLTERFRfuzbtw+RkZH47bffchzT+kbgpF2cl0RE8mJ/SQWNjzGSUQIDA3Hr1q0c43fu3EFgYKCARMZTFCXHlVNeSSUicxYUFIT+/fsjJSUF2dnZBj9cUCBRZJuXrD+IiP5Hpv6STAPv7CKjqKqaa0F28eJFlC5dWkAi46mqipYtW6JYscf/Ody7dw9vv/02rKysAMBgPw0iInNw/fp1jBw5EhUqVBAdhUhPtnnJ+oOI6H9k6i/JNHCxi/KkVq1a+iuRTxdoAJCVlYWkpCS0bdtWYMK8mzRpksHvnTp1yvEZvgGEiMxJ165dER4eDjc3N9FRiPRkm5esP4iI5OwvyTRwsYvypHPnzgCA6OhotGnTBiVLltQfs7KyQpUqVTRXmD1bbBIRmbuqVavis88+Q2RkJHx8fHJsBB4UFCQoGZkz2eYl6w8iIjn7SzINiprbq1+I/sWKFSvQs2dPWFtbi45CREQFzMXF5bnHFEVBYmJiEaYheozzkohIXuwvqaBxsYvy5eHDh0hNTUV2drbBeOXKlQUlIiIiIiIiIi1if0kFhY8xklFOnz6NQYMGYd++fQbjTzYW1OJbkYiIKKcn18T4ljgyJZyXRERyYX9JBY2LXWSUgQMHolixYvj555/h5OTEYpOISDIrV67E119/jdOnTwN4vF/SmDFj0L9/f8HJyJxxXhIRyYn9JRU0LnaRUaKjo3H48GF4eHiIjlIgHj16hNatW+O7775D1apVRcchIhJqzpw5mDBhAj788EP4+flBVVXs3bsXQ4YMwbVr1zBy5EjREckMyTgvWX8QET0mW39J4nGxi4zi5eWFa9euiY5RYCwtLXH8+HFeQSAiArBgwQIsWrQIAwYM0I916tQJ1atXx+TJkzW5qEDaJ+O8ZP1BRPSYbP0liacTHYC06f/+7//wySefYPfu3bh+/Tpu375t8KNFAwYMQHBwsOgYRETCpaSkoHHjxjnGGzdujJSUFAGJiOSdl6w/iIjk7C9JLN7ZRUZp1aoVAKBly5YG41reQPDhw4dYtmwZ/vjjD9StWxe2trYGx+fMmSMoGRFR0XJ3d8f69esxbtw4g/F169bh9ddfF5SKzJ2s85L1BxGRnP0licXFLjJKeHi46AgF7vjx46hduzYAICEhweAYHy8gInMyZcoU9OzZE3v27IGfnx8URUFkZCTCwsKwfv160fHITMk6L1l/EBHJ2V+SWIr65N3NRERERP84fPgwvvnmG8TFxUFVVXh5eWH06NGoVauW6GhkxjgviYiI6GVwsYvyJSMjA8nJyXj48KHBuK+vr6BEBePixYtQFAWvvvqq6ChERERkJlh/EJG5k7W/pKLHxxjJKFevXkVgYCB+++23XI9r8Znq7OxsTJ8+HbNnz8bdu3cBAHZ2dhg9ejTGjx8PnY7vcyAiub3sBrClSpUq5CRE/yP7vGT9QUQkZ39JYnGxi4zy0Ucf4caNG4iKioK/vz82b96MK1eu6Is1LRo/fjyCg4Px1Vdfwc/PD6qqYu/evZg8eTLu37+PGTNmiI5IRFSo7O3tX7hHEDeJJRFkn5esP4iI5OwvSSw+xkhGcXJywpYtW1C/fn2UKlUKhw4dQtWqVbF161bMnDkTkZGRoiPmWcWKFbF48WJ07NjRYHzLli0YOnQo/v77b0HJiIiKRkREhP7PqqqiXbt2WLZsWY5Hqpo1a1bU0ciMyT4vWX8QEcnZX5JYvLOLjJKeng4HBwcAQNmyZXH16lVUrVoVPj4+OHLkiOB0xklLS4OHh0eOcQ8PD6SlpQlIRERUtJ5dLLCwsEDDhg3h6uoqKBGR/POS9QcRkZz9JYnFTQDIKNWqVcOpU6cAADVr1sR3332Hv//+G4sXL4aTk5PgdMapUaMGFi5cmGN84cKFqFGjhoBEREREJDvWH0REcvaXJBbv7CKjfPTRR7h06RIAYNKkSWjTpg1++OEHWFlZITQ0VGw4I82cORPt27fHzp070ahRIyiKgn379uHChQv49ddfRccjIiIiCbH+ICKSs78ksbhnFxWIjIwMxMfHo3LlyihXrpzoOEa7dOkSvv32W8THx0NVVXh5eWHo0KGoWLGi6GhEREXOzs4OsbGxcHFxER2FSE/Gecn6g4jIkCz9JYnDxS7Kk4yMDIwZMwY//fQTHj16hFatWmH+/PlSnICSk5NRqVKlXN/4lJycjMqVKwtIRURUdLp27Wrw+7Zt29CiRQvY2toajG/atKkoY5GZk31esv4gInMmc39JYvExRsqTSZMmITQ0FH379oW1tTXWrFmDDz74ABs2bBAdLd9cXFyQkpKi3xjxievXr8PFxUWzrzQnInpZpUuXNvi9X79+gpIQ/Y/s85L1BxGZM5n7SxKLd3ZRnri5uWHGjBno1asXAODAgQPw8/PD/fv3YWFhIThd/uh0Oly5cgXly5c3GD9//jy8vLyQnp4uKBkRERHJivUHEZkzmftLEot3dlGeXLhwAU2aNNH/Xr9+fRQrVgyXLl1CpUqVBCYz3qhRowAAiqJgwoQJsLGx0R/LysrCX3/9hZo1awpKR0RERDJi/UFEJGd/SaaBi12UJ1lZWbCysjIYK1asGDIzMwUlyr+jR48CAFRVxbFjxwz+flZWVqhRowY+/vhjUfGIiIhIQqw/iIjk7C/JNPAxRsoTnU6Ht956C8WLF9eP5bZRrBY3iQ0MDMS8efNQqlQp0VGIiIjITLD+ICJzJnN/SWJxsYvyJDAw8KU+t3z58kJOQkRERERERFrG/pIKCxe7iP7RokWLFx7ftWtXESUhIiIic8H6g4iIqOBxzy6if9SoUcPg90ePHiE6OhrHjx9HQECAoFREREQkM9YfREREBY+LXUT/+Oabb3Idnzx5Mu7evVvEaYiIiMgcsP4gIiIqeHyMkehfnDlzBvXr10daWproKERERGQmWH8QEREZTyc6AJGp279/P6ytrUXHICIiIjPC+oOIiMh4fIyR6B9du3Y1+F1VVaSkpODQoUOYMGGCoFREREQkM9YfREREBY+LXUT/KF26tMHvOp0O1apVw9SpU9G6dWtBqYiIiEhmrD+IiIgKHvfsIiIiIiIiIiIiafDOLqJnHD58GHFxcVAUBV5eXqhVq5boSERERCQ51h9EREQFh4tdRP9ITU1Fr169sHv3btjb20NVVdy6dQv+/v5Yu3YtypcvLzoiERERSYb1BxERUcHj2xiJ/jF8+HDcvn0bJ06cQFpaGm7cuIHjx4/j9u3bCAoKEh2PiIiIJMT6g4iIqOBxzy6if5QuXRo7d+5EvXr1DMYPHDiA1q1b4+bNm2KCERERkbRYfxARERU83tlF9I/s7GxYWlrmGLe0tER2draARERERCQ71h9EREQFj4tdRP9o0aIFRowYgUuXLunH/v77b4wcORItW7YUmIyIiIhkxfqDiIio4PExRqJ/XLhwAZ06dcLx48dRqVIlKIqC5ORk+Pj4YMuWLXjttddERyQiIiLJsP4gIiIqeFzsInrGH3/8gfj4eKiqCi8vL7Rq1Up0JCIiIpIc6w8iIqKCw8UuIiIiIiIiIiKSRjHRAYhMQXZ2NkJDQ7Fp0yacO3cOiqLAxcUF//nPf9C/f38oiiI6IhEREUmG9QcREVHh4J1dZPZUVcXbb7+NX3/9FTVq1ICHhwdUVUVcXByOHTuGjh074qeffhIdk4iIiCTC+oOIiKjw8M4uMnuhoaHYs2cPwsLC4O/vb3Bs165d6Ny5M1auXIkBAwYISkhERESyYf1BRERUeHhnF5m91q1bo0WLFhg7dmyux7/44gtERERg+/btRZyMiIiIZMX6g4iIqPDoRAcgEi02NhZt27Z97vG33noLMTExRZiIiIiIZMf6g4iIqPBwsYvMXlpaGipUqPDc4xUqVMCNGzeKMBERERHJjvUHERFR4eFiF5m9rKwsFCv2/O3rLCwskJmZWYSJiIiISHasP4iIiAoPN6gns6eqKgYOHIjixYvnevzBgwdFnIiIiIhkx/qDiIio8HCxi8xeQEDAv36Gb0IiIiKigsT6g4iIqPDwbYxERERERERERCQN7tlFRERERERERETS4GIXERERERERERFJg4tdREREREREREQkDS52ERERERERERGRNLjYRURERERERERE0uBiFxHRP5o3b46PPvpI/3uVKlUwd+5cYXmIiIiItIg1FRGJVkx0ACKiojZw4ECsWLEix/hff/0FT09PAYmIiIiItIc1FRGZKi52EZFZatu2LZYvX24wVr58eVhYWAhKRERERKQ9rKmIyBTxMUYiMkvFixeHo6OjwU/Lli0Nbrl/lqIo+O6779ChQwfY2NjA09MT+/fvx5kzZ9C8eXPY2tqiUaNGOHv2rME/t23bNtSpUwfW1tZwdXXFlClTkJmZWch/QyIiIqLCx5qKiEwRF7uIiPJg2rRpGDBgAKKjo+Hh4YE+ffrg/fffx2effYZDhw4BAD788EP957dv345+/fohKCgIJ0+exHfffYfQ0FDMmDFD1F+BiIiISDjWVERUmLjYRURm6eeff0bJkiX1P927d3+pfy4wMBA9evRA1apV8emnn+LcuXPo27cv2rRpA09PT4wYMQK7d+/Wf37GjBkYO3YsAgIC4OrqijfffBPTpk3Dd999V0h/MyIiIqKiw5qKiEwR9+wiIrPk7++PRYsW6X+3tbVF7969//Wf8/X11f+5QoUKAAAfHx+Dsfv37+P27dsoVaoUDh8+jIMHDxpcdczKysL9+/eRkZEBGxubgvjrEBEREQnBmoqITBEXu4jILNna2sLd3T3P/5ylpaX+z4qiPHcsOztb/z+nTJmCrl275vjfZW1tnef/+0RERESmhDUVEZkiLnYRERWi2rVr49SpU0YVgURERET0GGsqIsoLLnYRERWiiRMnokOHDqhUqRK6d+8OnU6H2NhYHDt2DNOnTxcdj4iIiEgTWFMRUV5wg3oiokLUpk0b/Pzzz/jjjz9Qr149NGzYEHPmzIGzs7PoaERERESawZqKiPJCUVVVFR2CiIiIiIiIiIioIPDOLiIiIiIiIiIikgYXu4iIiIiIiIiISBpc7CIiIiIiIiIiImlwsYuIiIiIiIiIiKTBxS4iIiIiIiIiIpIGF7uIiIiIiIiIiEgaXOwiIiIiIiIiIiJpcLGLiIiIiIiIiIikwcUuIiIiIiIiIiKSBhe7iIiIiIiIiIhIGlzsIiIiIiIiIiIiafw/I6zPzrvJu0cAAAAASUVORK5CYII=",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(1,2,figsize=(12,6),constrained_layout=True)\n",
"g1 = sb.barplot(data=df_us,x='Filme',y='Bilheteria (M US$)',hue=None,errorbar=None,orient='v',ax=ax[0])\n",
"g2 = sb.barplot(data=df_br,x='Filme',y='Bilheteria (M US$)',hue=None,errorbar=None,orient='v',ax=ax[1])\n",
"\n",
"g1.set_title('Top 10 do cinema 2022 - EUA')\n",
"ax[0].tick_params(axis='x',rotation=90)\n",
"g2.set_title('Top 10 do cinema 2022 - Brasil')\n",
"ax[1].tick_params(axis='x',rotation=90);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"O visual não parece bom porque os nomes ainda são difíceis de ler. Vamos tentar com barras horizontais."
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"tags": [
"remove-input"
]
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(1,2,figsize=(12,5),constrained_layout=True)\n",
"g1 = sb.barplot(data=df_us,y='Filme',x='Bilheteria (M US$)',hue=None,errorbar=None,orient='h',ax=ax[0])\n",
"g2 = sb.barplot(data=df_br,y='Filme',x='Bilheteria (M US$)',hue=None,errorbar=None,orient='h',ax=ax[1])\n",
"\n",
"g1.set_title('Top 10 do cinema 2022 - EUA')\n",
"g2.set_title('Top 10 do cinema 2022 - Brasil');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Com as barras horizontais, os nomes dos filmes são melhor identificáveis. Porém, há uma série de melhorias ainda a fazer neste visual. Vamos discuti-las posteriormente."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Barras agrupadas (_grouped bar plot_)\n",
"\n",
"Enquanto as barras simples são capazes de mostrar como quantidades variam em relação a apenas uma categoria, as barras agrupadas são capazes de mostrar variação de quantidades em mais do que uma categoria. No exemplo anterior, a categoria única era o nome dos filmes. Agora, vamos criar um gráfico de barras agrupadas colocando lado a lado os filmes do TOP 10 internacional que também estiveram entre os TOP 10 do Brasil e criar uma categorização baseada na localização geográfica. \n",
"\n",
"Primeiramente, vamos localizar os filmes intersectantes."
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"tags": [
"remove-input"
]
},
"outputs": [
{
"data": {
"text/html": [
"
\n",
"\n",
"
\n",
" \n",
"
\n",
"
\n",
"
Filme
\n",
"
Bilheteria (M US$)_x
\n",
"
Bilheteria (M US$)_y
\n",
"
\n",
" \n",
" \n",
"
\n",
"
0
\n",
"
Top Gun: Maverick
\n",
"
718.3
\n",
"
22.2
\n",
"
\n",
"
\n",
"
1
\n",
"
Pantera Negra: Wakanda para Sempre
\n",
"
436.5
\n",
"
21.2
\n",
"
\n",
"
\n",
"
2
\n",
"
Doutor Estranho no Multiverso da Loucura
\n",
"
411.3
\n",
"
33.7
\n",
"
\n",
"
\n",
"
3
\n",
"
Avatar: O Caminho da Água
\n",
"
401.0
\n",
"
31.4
\n",
"
\n",
"
\n",
"
4
\n",
"
Jurassic World: Domínio
\n",
"
376.8
\n",
"
15.4
\n",
"
\n",
"
\n",
"
5
\n",
"
Minions 2: A Origem de Gru
\n",
"
369.6
\n",
"
22.8
\n",
"
\n",
"
\n",
"
6
\n",
"
Batman
\n",
"
369.3
\n",
"
22.7
\n",
"
\n",
"
\n",
"
7
\n",
"
Thor: Amor e Trovão
\n",
"
343.2
\n",
"
23.1
\n",
"
\n",
"
\n",
"
8
\n",
"
Homem Aranha: Sem Volta para Casa
\n",
"
231.8
\n",
"
56.4
\n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" Filme Bilheteria (M US$)_x \\\n",
"0 Top Gun: Maverick 718.3 \n",
"1 Pantera Negra: Wakanda para Sempre 436.5 \n",
"2 Doutor Estranho no Multiverso da Loucura 411.3 \n",
"3 Avatar: O Caminho da Água 401.0 \n",
"4 Jurassic World: Domínio 376.8 \n",
"5 Minions 2: A Origem de Gru 369.6 \n",
"6 Batman 369.3 \n",
"7 Thor: Amor e Trovão 343.2 \n",
"8 Homem Aranha: Sem Volta para Casa 231.8 \n",
"\n",
" Bilheteria (M US$)_y \n",
"0 22.2 \n",
"1 21.2 \n",
"2 33.7 \n",
"3 31.4 \n",
"4 15.4 \n",
"5 22.8 \n",
"6 22.7 \n",
"7 23.1 \n",
"8 56.4 "
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df_merge = pd.merge(df_us,df_br,how='inner',on='Filme'); \n",
"df_merge"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Em seguida, vamos converter os valores das bilheterias em dólares para reais utilizando a taxa de câmbio PTAX 1:5.2171 (dezembro de 2022) e renomear as variáveis de dados."
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"tags": [
"remove-input"
]
},
"outputs": [
{
"data": {
"text/html": [
"
\n",
"\n",
"
\n",
" \n",
"
\n",
"
\n",
"
Filme
\n",
"
Bilheteria - BR
\n",
"
Bilheteria - US
\n",
"
\n",
" \n",
" \n",
"
\n",
"
0
\n",
"
Top Gun: Maverick
\n",
"
115.81962
\n",
"
3747.44293
\n",
"
\n",
"
\n",
"
1
\n",
"
Pantera Negra: Wakanda para Sempre
\n",
"
110.60252
\n",
"
2277.26415
\n",
"
\n",
"
\n",
"
2
\n",
"
Doutor Estranho no Multiverso da Loucura
\n",
"
175.81627
\n",
"
2145.79323
\n",
"
\n",
"
\n",
"
3
\n",
"
Avatar: O Caminho da Água
\n",
"
163.81694
\n",
"
2092.05710
\n",
"
\n",
"
\n",
"
4
\n",
"
Jurassic World: Domínio
\n",
"
80.34334
\n",
"
1965.80328
\n",
"
\n",
"
\n",
"
5
\n",
"
Minions 2: A Origem de Gru
\n",
"
118.94988
\n",
"
1928.24016
\n",
"
\n",
"
\n",
"
6
\n",
"
Batman
\n",
"
118.42817
\n",
"
1926.67503
\n",
"
\n",
"
\n",
"
7
\n",
"
Thor: Amor e Trovão
\n",
"
120.51501
\n",
"
1790.50872
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"
\n",
"
\n",
"
8
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"
Homem Aranha: Sem Volta para Casa
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294.24444
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"
1209.32378
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"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" Filme Bilheteria - BR Bilheteria - US\n",
"0 Top Gun: Maverick 115.81962 3747.44293\n",
"1 Pantera Negra: Wakanda para Sempre 110.60252 2277.26415\n",
"2 Doutor Estranho no Multiverso da Loucura 175.81627 2145.79323\n",
"3 Avatar: O Caminho da Água 163.81694 2092.05710\n",
"4 Jurassic World: Domínio 80.34334 1965.80328\n",
"5 Minions 2: A Origem de Gru 118.94988 1928.24016\n",
"6 Batman 118.42817 1926.67503\n",
"7 Thor: Amor e Trovão 120.51501 1790.50872\n",
"8 Homem Aranha: Sem Volta para Casa 294.24444 1209.32378"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df_merge['Bilheteria - BR'] = df_merge['Bilheteria (M US$)_y']*5.2171\n",
"df_merge = df_merge.drop('Bilheteria (M US$)_y',axis=1)\n",
"df_merge['Bilheteria - US'] = df_merge['Bilheteria (M US$)_x']*5.2171\n",
"df_merge = df_merge.drop('Bilheteria (M US$)_x',axis=1)\n",
"df_merge"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Em seguida, manipularemos os nossos dados para identificar cada filme e seu valor pela categoria \"Local\"."
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"tags": [
"remove-input"
]
},
"outputs": [
{
"data": {
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t2yt1o6KiBIA0atRIoqOj5cSJE/Lyyy9L06ZNRUTkzp07Mnr0aKlVq5akpKRISkqK3LlzR/Ly8sTX11c6deokBw8elNOnT8vo0aPF3t5ebty4ISIiISEhYm1tLf7+/nLkyBE5evSo5OXlybp162T9+vVy+vRpiYuLk06dOomXl5fk5uY+9DgjIyPF0tJSLl26JCIiGzZskPsf6t9//130er3MmTNHTp8+LXv37pW6detKUFCQUqd169bi4+Mj+/btk8OHD0uLFi1Ep9PJnDlzlDoApHz58hIWFiZJSUly/vx5ycrKksmTJ8uBAwfk3LlzsmzZMrGyspLVq1erzmdycnKhx/Lhhx9K9erVlfXu3bvLrFmz5NNPP5U+ffoo5ZUrV5ZJkyaJiDz0nCUnJwsAiYuLk8zMTOnatav4+PjIn3/+KSJiVOwDBgwQW1tbGTx4sCQkJMimTZvEyspKFi1apNRp37691K5dW2JiYuTQoUPStGlT1bmbM2eO7Ny5U86dOyc7duyQGjVqyLvvvlvo+cg/3/b29rJ48WJJTEyUSZMmiampqZw8eVKpM2XKFNm7d68kJyfLxo0bxcHBQT799FNle3Fdb9nZ2aLX62XkyJFy7969AusYe/3r9Xrp1q2bnDhxQjZu3CgWFhbi7+8vw4YNk1OnTsmSJUsEgMTGxhp9LvIfazc3N1m/fr2cO3dOrly5IosWLRInJyelbP369VKmTBmJiIgo8BhCQkIEgGo5PsFDLnxUu8jHi+jf7oVMEPbv3y/29vbSo0ePAusfOHBAAMjff/8tIv97Qdu+fbtS56effhIAcvfuXRH554mkTp06Bu3s2LFDbG1tVU+gVatWlW+++UbZz9zcXK5du1bkMVy7dk0AyLFjx4w6zsaNG8vAgQNFRJ0g9OvXT95++22DfXfv3i0mJiZy9+5dSUhIEABy8OBBZfuZM2cEgCpBGDlyZJFxi4gMGTJEunbtqqzv379fatSoIZcvXy50n23btgkA+eOPP0REpHz58nLgwAHZt2+fVKhQQURELl68KABkx44dBbbx4DnLf9HYvXu3tG7dWnx9feXWrVuPFPuAAQPE1dVVcnJylLLu3btLz549RUQkMTFRAMi+ffuU7fnn8/5z96A1a9YoCWthAMjgwYMNyho1alRkYjFz5kx56aWXlPXivN7WrVsnpUuXFktLS2natKlMmDBBjh49qmw39vq3srKS9PR0Zbu/v7+4ubkZJCc1atSQ6dOnK+sPOxf5j/XcuXMN6jg7O8uKFSsMyqZMmSJNmjQp8Bjv3bsnaWlpynLp0iUmCPTCMHvqQxTPic2bN0Ov1yMnJwfZ2dkICAjAV199BQCIi4tDaGgo4uPjcfPmTeTl5QEALl68CE9PT6UNb29v5f9OTk4A/hlOdnFxKbDPw4cPIyMjA/b29gbld+/eNRi+dXV1Rbly5QzqJCUlITg4GPv27cNff/1lEFPt2rUferyffvopWrVqhdGjRxcY19mzZw2GvkUEeXl5SE5OxunTp2FmZoZ69eop293d3VG6dGlVW/Xr11eVLVy4EN9++y0uXLiAu3fvIisry2ACZ8OGDXHq1Kki4/f19YWFhQWio6NRp04d3L17F/Xq1YOIID09HWfOnEFsbCy0Wi2aNm0KwPhz1rt3b1SqVAk7duyAlZXVI8UOALVq1YKpqamy7uTkhGPHjgH4Z66EmZmZwXmpWbMmSpUqZdBGVFQUPvnkE5w8eRLp6enIycnBvXv3cPv2bVhbWxd6Xpo0aaJav/9TGevWrcPcuXNx9uxZZGRkICcnB7a2tgb7FNf11rVrV7z66qvYvXs3YmNjsWXLFsycORPffvstgoKCjL7+3dzcYGNjo6w7ODjA1NQUJiYmBmX33/Yz5lwAhtfn9evXcenSJQwaNAhvvfWWUp6TkwM7O7sCj1Gr1UKr1Ra4jei/7oVJEPz8/LBgwQKYm5ujQoUKMDc3BwDcvn0bbdu2Rdu2bbFs2TKUK1cOFy9ehL+/P7KysgzayN8HgPKpgPwn0oLk5eXBycnJ4J55vvtfMAp6QejUqROcnZ2xePFiVKhQAXl5eahdu7YqpsI0b94c/v7++PDDDxEUFKSK65133sHw4cNV+7m4uChzKx4kIqqyB2Nfs2YN3n//fcyePRtNmjSBjY0NZs2ahf379xsVdz4rKys0bNgQUVFRuHnzJpo1a6a8KDdt2hRRUVGIjY1FkyZNYGlpCcD4c9ahQwcsW7YM+/btQ6tWrR459vuvA+CfayH/Osg/R0V9auTChQvo0KEDBg8ejClTpqBMmTLYs2cPBg0a9FgT6fL72rdvH3r16oWPPvoI/v7+sLOzw6pVqzB79myD+sV5vVlaWqJNmzZo06YNJk+ejDfffBMhISEICgoy+vov6HwWdY6L8uB5v/9Y8/dfvHgxGjVqZFDv/oSPiP7xwiQI1tbWcHd3V5WfOnUKf/31F2bMmKF8hO7QoUOP3L6FhQVyc3MNyurVq4erV6/CzMwMbm5uRrd148YNJCQk4JtvvsHLL78MANizZ88jxzRjxgz4+PigevXqqrhOnDhR4PkA/nnHm5OTg7i4OLz00ksAgLNnz+LWrVsP7XP37t1o2rQphgwZopQZM7myIH5+fli1ahVSU1PRsmVLpbxFixaIjo5GbGws3njjDQCPds7effdd1K5dG507d8ZPP/2EFi1aFFvsHh4eyMnJwaFDh9CwYUMAQGJiosG5O3ToEHJycjB79mzlXfKaNWuMan/fvn3o37+/wXrdunUBAHv37oWrqysmTpyobL9w4cJD2yyu6w0APD09lcm/j3v9G6uoc1EQBwcHVKxYEefOnUNgYGCxx0P0X/PCfIqhMC4uLrCwsMBXX32Fc+fOYePGjZgyZcojt+Pm5obk5GTEx8fjr7/+QmZmJlq3bo0mTZqgS5cu2Lp1K86fP4+YmBhMmjSpyCSkdOnSsLe3x6JFi3D27Fns3LkTo0aNeuSYvLy8EBgYqNxKyTdu3DjExsbivffeQ3x8PM6cOYONGzdi2LBhAP5JEFq3bo23334bBw4cQFxcHN5++23odLqHfp+Cu7s7Dh06hK1bt+L06dMIDg7GwYMHDeocOHAANWvWxJUrV4psy8/PD2fOnMGWLVuUF3HgnwRh8+bNOH/+PPz8/AA8+jkbNmwYpk6dio4dOyovhsbE/jA1atRAu3bt8NZbb2H//v04fPgw3nzzTeh0OqVO1apVkZOTo1xzS5cuxcKFC41qf+3atViyZAlOnz6NkJAQHDhwAEOHDlXiv3jxIlatWoWkpCR8+eWX2LBhw0PbfJzr7caNG2jVqhWWLVuG33//HcnJyVi7di1mzpyJgIAAAHjs699YRZ2LwoSGhmL69On44osvcPr0aRw7dgzh4eH4/PPPnzgeov+ckp0C8WwU9CmG+61YsULc3NxEq9VKkyZNZOPGjcpsd5H/TVJMTU1V9omLizOYiX/v3j3p2rWrlCpVSgBIeHi4iIikp6fLsGHDpEKFCmJubi7Ozs4SGBgoFy9eFJGCJzeKiPz666/i4eEhWq1WvL29JTo6WgDIhg0bHuk4z58/L1qtVh58qA8cOCBt2rQRvV4v1tbW4u3tLdOmTVO2//HHH9K+fXvRarXi6uoqK1askPLly8vChQuVOgXFc+/ePQkKChI7OzspVaqUvPvuuzJ+/HiDYzTmUwwiInfv3hWtVit6vV6ys7OV8szMTLGyshKdTieZmZlGn7P7P8WQb/bs2WJjYyN79+41KvaCzvGIESOkRYsWynpKSoq8+uqrotVqxcXFRb7//ntxdXU1mKT4+eefi5OTk+h0OvH395fvv/9edY09CIB8/fXX0qZNG+VxWblypUGdMWPGiL29vej1eunZs6fMmTNH7OzslO3Fdb3du3dPxo8fL/Xq1RM7OzuxsrKSGjVqyKRJk+TOnTtKvce5/gs6xy1atJARI0YYfS4KeqzzLV++XHx8fMTCwkJKly4tzZs3l8jIyAKP80FpaWmcpEgvDI1IATeWiR5w+fJlODs7Y/v27XjllVdKOpwXkkajwYYNG9ClS5eSDqXEldS5SE9Ph52dHY5P8ICNpSlcJh97pv0TPUsvzBwEejQ7d+5ERkYGvLy8kJKSgrFjx8LNzQ3Nmzcv6dCIiOgZYIJABcrOzsaHH36Ic+fOwcbGBk2bNsXy5ctVs8uJiOi/iQkCFcjf3x/+/v4lHQbdh3cD/4fngujpe+E/xUBERERqTBCIiIhIhQkCERERqTBBICIiIhUmCERERKTCBIGIiIhUmCAQERGRChMEIiIiUuFvMRARGSn/txjS0tJga2tb0uEQPVUcQSAiIiIVJghERESkwgSBiIiIVJggEBERkQoTBCIiIlJhgkBEREQqTBCIiIhIhQkCERERqTBBICIiIhWzkg6AiOjfpvmklTDV6ko6jGfi8Kz+JR0ClRCOIBAREZEKEwQiIiJSYYJAREREKkwQiIiISIUJAhEREakwQSAiIiIVJghERESkwgSBiIiIVJggEBERkQoTBCIiIlJhgkBEREQqTBCIiIhIhQkCERERqTBBeIGdP38eGo0G8fHxJR1KiTD2+Fu2bImRI0c+k5ietoiICJQqVaqkwyCif4ESTRCCgoKg0Wig0Whgbm4OBwcHtGnTBkuWLEFeXl6x9/e0n+hDQ0OV47l/qVmz5nMR379dy5YtodFoMGPGDNW2Dh06QKPRIDQ09LHbj46Ohkajwa1btwzKIyMjMWXKlMdu97+GSQbRi6HERxDatWuHlJQUnD9/Hr/88gv8/PwwYsQIdOzYETk5OSUdXoGysrIK3VarVi2kpKQYLHv27Cm2vkXkuT0vz4KzszPCw8MNyv744w/s3LkTTk5OT6XPMmXKwMbG5qm0nS87O/uptv+iy83NfSpvOoj+y0o8QdBqtXB0dETFihVRr149fPjhh/jxxx/xyy+/ICIiQql38eJFBAQEQK/Xw9bWFj169MCff/6pbA8KCkKXLl0M2h45ciRatmypbN+1axe++OIL5Z39+fPnAQC7du1Cw4YNodVq4eTkhPHjxxu8CLds2RJDhw7FqFGjULZsWbRp06bQ4zEzM4Ojo6PBUrZsWWX7/PnzUa1aNVhaWsLBwQHdunUrMr78d7Vbt25F/fr1odVqsXv3biQlJSEgIAAODg7Q6/Vo0KABtm/fbhCLm5sbPvnkEwwcOBA2NjZwcXHBokWLVDGfO3cOfn5+sLKyQp06dRAbG2uwff369ahVqxa0Wi3c3Nwwe/bsQo8f+GckxcfHB0uXLoWbmxvs7OzQq1cv/P3330qdzMxMDB8+HOXLl4elpSWaNWuGgwcPFtkuAHTs2BE3btzA3r17lbKIiAi0bdsW5cuXN6ir0Wjwww8/GJSVKlXK4LrKd/78efj5+QEASpcuDY1Gg6CgIACGIzsTJkxA48aNVft7e3sjJCREWQ8PD4eHhwcsLS1Rs2ZNzJ8/36AvjUaDNWvWoGXLlrC0tMSyZctw4cIFdOrUCaVLl4a1tTVq1aqFn3/+WdnvYddpQSIiIuDi4gIrKyu89tpruHHjhsF2Y66jR/Wkf6sAkJeXh08//RTu7u7QarVwcXHBtGnTABQ80hMfH2/wN50/yrF582Z4enpCq9XiwoULOHjwINq0aYOyZcvCzs4OLVq0wJEjR57oeIn+q0o8QShIq1atUKdOHURGRgL4511zly5dcPPmTezatQu//vorkpKS0LNnT6Pb/OKLL9CkSRO89dZbyjt7Z2dnXLlyBR06dECDBg1w9OhRLFiwAGFhYZg6darB/t999x3MzMywd+9efPPNN491XIcOHcLw4cPx8ccfIzExEVu2bEHz5s2LjC/f2LFjMX36dCQkJMDb2xsZGRno0KEDtm/fjri4OPj7+6NTp064ePGiQZ+zZ89G/fr1ERcXhyFDhuDdd9/FqVOnDOpMnDgRH3zwAeLj41G9enX07t1beeE5fPgwevTogV69euHYsWMIDQ1FcHBwgS+y90tKSsIPP/yAzZs3Y/Pmzdi1a5fBrYGxY8di/fr1+O6773DkyBG4u7vD398fN2/eLLJdCwsLBAYGGowiREREYODAgUXu9zDOzs5Yv349ACAxMREpKSn44osvVPUCAwOxf/9+JCUlKWUnTpzAsWPHEBgYCABYvHgxJk6ciGnTpiEhIQGffPIJgoOD8d133xm0NW7cOAwfPhwJCQnw9/fHe++9h8zMTPz22284duwYPv30U+j1egAw+jq93/79+zFw4EAMGTIE8fHx8PPzU9U39joyVnH8rQL/JGKffvopgoODcfLkSaxYsQIODg6P1MadO3cwffp0fPvttzhx4gTKly+Pv//+GwMGDMDu3buxb98+VKtWDR06dDBIXu+XmZmJ9PR0g4XohSElaMCAARIQEFDgtp49e4qHh4eIiGzbtk1MTU3l4sWLyvYTJ04IADlw4EChbY0YMUJatGihrLdo0UJGjBhhUOfDDz+UGjVqSF5enlL29ddfi16vl9zcXGU/Hx+fhx5PSEiImJiYiLW1tcEyaNAgERFZv3692NraSnp6eoH7FxRfVFSUAJAffvjhof17enrKV199pay7urpK3759lfW8vDwpX768LFiwQEREkpOTBYB8++23Sp3885qQkCAiIn369JE2bdoY9DNmzBjx9PQs8jxYWVkZHOeYMWOkUaNGIiKSkZEh5ubmsnz5cmV7VlaWVKhQQWbOnFlou/nn5+jRo2JjYyMZGRmya9cuKV++vGRlZUmdOnUkJCREqQ9ANmzYYNCGnZ2dhIeHGxx/XFyciPzvXKemphbYbz5vb2/5+OOPlfUJEyZIgwYNlHVnZ2dZsWKFQRtTpkyRJk2aGPQ7d+5cgzpeXl4SGhpa4LEbc50+qHfv3tKuXTuDsp49e4qdnV2B9fM9eB09KDw8vNA2iuNvNT09XbRarSxevLjAPgp6nOLi4gSAJCcnKzECkPj4+CKPNScnR2xsbGTTpk0Fbg8JCREAquX4BA+58FFtZSH6L3ouRxCAf96JaDQaAEBCQgKcnZ0N3lF7enqiVKlSSEhIeKJ+EhIS0KRJE6UvAPD19UVGRgYuX76slNWvX9+o9mrUqIH4+HiDJX9otE2bNnB1dUWVKlXQr18/LF++HHfu3DGq3Qf7v337NsaOHaucB71ej1OnTqne+Xl7eyv/12g0cHR0xLVr1wqtk38fP79OQkICfH19Der7+vrizJkzyM3NLTReNzc3g/v2Tk5OSptJSUnIzs42aNfc3BwNGzY06vH09vZGtWrVsG7dOixZsgT9+vWDubn5Q/crLoGBgVi+fDmAf67TlStXKqMH169fx6VLlzBo0CDo9XplmTp1qsGoA6B+TIcPH46pU6fC19cXISEh+P3335Vtxl6n98vf534Prht7HRmrOP5WExISkJmZiVdeeeWxYshnYWFhcG0D/1zXgwcPRvXq1WFnZwc7OztkZGQUerwTJkxAWlqasly6dOmJYiL6NzEr6QAKk5CQgMqVKwMwTBbud3+5iYkJRMRguzETvwpqO7+d+8utra2NitvCwgLu7u4FbrOxscGRI0cQHR2Nbdu2YfLkyQgNDcXBgwcfOiv8wf7HjBmDrVu34rPPPoO7uzt0Oh26deummkD54AunRqNRTda6v07+MefXKer8FKWofgs6v4X1VZiBAwfi66+/xsmTJ3HgwIEC62g0mse6Jh6mT58+GD9+PI4cOYK7d+/i0qVL6NWrF4D/nbfFixejUaNGBvuZmpoarD/4mL755pvw9/fHTz/9hG3btmH69OmYPXs2hg0bZvR1WtD2ohh7HRmrOP5WdTpdkX2YmJgobRa0//3tPBhLUFAQrl+/jrlz58LV1RVarRZNmjQp9Hi1Wi20Wm2R8RD9Vz2XIwg7d+7EsWPH0LVrVwD/vAO5ePGiQfZ+8uRJpKWlwcPDAwBQrlw5pKSkGLTz4OfbLSwsVO96PT09ERMTY/BkExMTAxsbG1SsWLE4DwvAP5MYW7dujZkzZ+L333/H+fPnsXPnzkLjK8zu3bsRFBSE1157DV5eXnB0dFQmaBUnT09P1acwYmJiUL16ddULnrHc3d1hYWFh0G52djYOHTqkPJ4P06dPHxw7dgy1a9eGp6dngXUevCbOnDlT5IiNhYUFADz0MahUqRKaN2+O5cuXY/ny5WjdurVyf9zBwQEVK1bEuXPn4O7ubrDkJ7xFcXZ2xuDBgxEZGYnRo0dj8eLFAB7vOvX09MS+ffsMyh5cL+7rqDj+VqtVqwadTocdO3YU2Ee5cuUAwKANY7/LY/fu3Rg+fDg6dOigTLz966+/jNqX6EVT4iMImZmZuHr1KnJzc/Hnn39iy5YtmD59Ojp27Ij+/fsDAFq3bg1vb28EBgZi7ty5yMnJwZAhQ9CiRQtlmLZVq1aYNWsWvv/+ezRp0gTLli3D8ePHUbduXaUvNzc37N+/H+fPn4der0eZMmUwZMgQzJ07F8OGDcPQoUORmJiIkJAQjBo1Snmn8ihycnJw9epVgzKNRgMHBwds3rwZ586dQ/PmzVG6dGn8/PPPyMvLQ40aNQqNrzDu7u6IjIxEp06doNFoEBwc/FQ+xjV69Gg0aNAAU6ZMQc+ePREbG4t58+YZzMp/VNbW1nj33XcxZswYlClTBi4uLpg5cybu3LmDQYMGGdVG6dKlkZKSUuSthVatWmHevHlo3Lgx8vLyMG7cuCLru7q6QqPRYPPmzejQoQN0Op0ySfBBgYGBCA0NRVZWFubMmWOwLTQ0FMOHD4etrS3at2+PzMxMHDp0CKmpqRg1alSh/Y8cORLt27dH9erVkZqaip07dyovqo9znQ4fPhxNmzbFzJkz0aVLF2zbtg1btmwxqPO411Fubm6BCXhx/K1aWlpi3LhxGDt2LCwsLODr64vr16/jxIkTGDRoENzd3eHs7IzQ0FBMnToVZ86ceegna+4/3qVLl6J+/fpIT0/HmDFjHjpiQfTCeqYzHh4wYMAAZdKPmZmZlCtXTlq3bi1LlixRTby6cOGCdO7cWaytrcXGxka6d+8uV69eNagzefJkcXBwEDs7O3n//fdl6NChBpMUExMTpXHjxqLT6QwmNEVHR0uDBg3EwsJCHB0dZdy4cZKdna3sV9DkwYIUNqFJq9WKiMju3bulRYsWUrp0adHpdOLt7S2rV68uMr7CJs4lJyeLn5+f6HQ6cXZ2lnnz5qnidHV1lTlz5hjsd/9Evgcn6YmIpKamCgCJiopSytatWyeenp5ibm4uLi4uMmvWrIeehzp16hiUzZkzR1xdXZX1u3fvyrBhw6Rs2bKi1WrF19dXmcRWmIc9Dg9OUrxy5Yq0bdtWrK2tpVq1avLzzz8XOUlRROTjjz8WR0dH0Wg0MmDAgEL7TU1NFa1WK1ZWVvL333+rYlm+fLn4+PiIhYWFlC5dWpo3by6RkZGF9isiMnToUKlatapotVopV66c9OvXT/766y9l+8Ou04KEhYVJpUqVRKfTSadOneSzzz4zmGBozHX0oPwJgA8u+Y9vcfyt5ubmytSpU8XV1VW57j755BNl+549e8TLy0ssLS3l5ZdflrVr16omKRY0kfLIkSNSv3590Wq1Uq1aNVm7dm2BfyeFSUtL4yRFemFoRIy4UUlEREhPT4ednR2OT/CAjeX/brG5TD5WglERPR3P5RwEIiIiKllMEIiIiEiFCQIRERGpMEEgIiIiFSYIREREpMIEgYiIiFSYIBAREZEKEwQiIiJSYYJAREREKkwQiIiISIUJAhEREanwtxiIiIyU/1sMaWlpsLW1LelwiJ4qjiAQERGRChMEIiIiUmGCQERERCpMEIiIiEiFCQIRERGpMEEgIiIiFSYIREREpMIEgYiIiFSYIBAREZGKWUkHQET0b9N80kqYanUlHcZTdXhW/5IOgUoYRxCIiIhIhQkCERERqTBBICIiIhUmCERERKTCBIGIiIhUmCAQERGRChMEIiIiUmGCQERERCpMEIiIiEiFCQIRERGpMEEgIiIiFSYIREREpMIEgYieG2vXrsXWrVtLOgwiAhMEInpOHD16FOPGjUO9evVKOhQiAhMEInpOnD59GuvWrUO5cuVKOhQiAhMEoudaaGgofHx8HmkfNzc3zJ0796nEc7/o6GhoNBrcunWrWNrr3r07Rw+IniNMEEglJiYGpqamaNeuXbG3XdwvKsa6efMmRo4cCTc3N1hYWMDJyQlvvPEGLl68+NB9RQSLFi1Co0aNoNfrUapUKdSvXx9z587FnTt3nmrcH3zwAXbs2PFU+3he1KhRAxYWFrhy5UpJh0JEYIJABViyZAmGDRuGPXv2GPUCWlKys7ONqnfz5k00btwY27dvx/z583H27FmsXr0aSUlJaNCgAc6dO1fk/v369cPIkSMREBCAqKgoxMfHIzg4GD/++CO2bdtWHIdSKL1eD3t7+6fax/Ngz549uHfvHrp3746IiIiSDkeRmZmJ9PR0g4XohSFE98nIyBAbGxs5deqU9OzZUz766CNlW+PGjWXcuHEG9a9duyZmZmayc+dOERFZunSpvPTSS6LX68XBwUF69+4tf/75p4iIJCcnCwCDZcCAASIi8ssvv4ivr6/Y2dlJmTJl5NVXX5WzZ88q/eTvu3r1amnRooVotVpZsmSJUcc0ePBgsba2lpSUFIPyO3fuSMWKFaVdu3aF7rt69WoBID/88INqW15enty6dUtERA4cOCCtW7cWe3t7sbW1lebNm8vhw4cN6gOQhQsXyquvvio6nU5q1qwpMTExcubMGWnRooVYWVlJ48aNDY47JCRE6tSpo6wPGDBAAgICZNasWeLo6ChlypSRIUOGSFZWllLH1dVVpk2bJm+88Ybo9XpxdnaWb775xiCW33//Xfz8/MTS0lLKlCkjb731lvz9999FnseffvpJqlWrJpaWltKyZUsJDw8XAJKamioiIn/99Zf06tVLKlasKDqdTmrXri0rVqwoss18QUFBMn78ePnll1+kSpUqkpeXZ7D9jz/+kA4dOoilpaW4ubnJ8uXLxdXVVebMmSMi/7s+4uLilH1SU1MFgERFRYmISE5OjgwcOFDc3NzE0tJSqlevLnPnzi0yrpCQENU1C0COT/CQCx/VVhai/yImCGQgLCxM6tevLyIimzZtEjc3N+XJ+quvvhIXFxeDJ++vvvpKKlasKLm5ucr+P//8syQlJUlsbKw0btxY2rdvLyL/PEGvX79eAEhiYqKkpKQoL7Dr1q2T9evXy+nTpyUuLk46deokXl5eSrv5LwBubm6yfv16OXfunFy5ckWioqIEgCQnJxd4PLm5uVKqVCl5++23C9w+bdo00Wg0cuPGjQK3d+7cWWrUqPHQ87Zjxw5ZunSpnDx5Uk6ePCmDBg0SBwcHSU9PV+oAkIoVK8rq1aslMTFRunTpIm5ubtKqVSvZsmWLnDx5Uho3bmyQsBSUINja2srgwYMlISFBNm3aJFZWVrJo0SKljqurq5QpU0a+/vprOXPmjEyfPl1MTEwkISFBRERu374tFSpUkNdff12OHTsmO3bskMqVKyvJWkEuXrwoWq1WRowYIadOnZJly5aJg4ODQYJw+fJlmTVrlsTFxUlSUpJ8+eWXYmpqKvv27Svy3KWnp4u1tbUcP35ccnJyxMHBQUk487Vu3Vp8fHxk3759cvjwYWnRooXodLpHShCysrJk8uTJcuDAATl37pwsW7ZMrKysZPXq1YXGdu/ePUlLS1OWS5cuMUGgFwYTBDLQtGlT5V1Vdna2lC1bVn799VcR+d9owW+//abUb9KkiYwZM6bQ9g4cOCAAlHen+S/o+S8qhbl27ZoAkGPHjonI/14AHnzHt3//fqlRo4Zcvny5wHauXr0qAJQXkgdFRkYKANm/f3+B2z08PKRz585FxlqQnJwcsbGxkU2bNillAGTSpEnKemxsrACQsLAwpWzlypViaWmprBeUILi6ukpOTo5S1r17d+nZs6ey7urqKn379lXW8/LypHz58rJgwQIREVm0aJGULl1aMjIylDo//fSTmJiYyNWrVws8ngkTJoiHh4dBcjhu3LiHPpYdOnSQ0aNHF7o9Px4fHx9lfcSIERIYGKisJyQkCAA5ePCgUnbmzBmDx9WYBKEgQ4YMka5duxYZ3/3S0tKYINALg3MQSJGYmIgDBw6gV69eAAAzMzP07NkTS5YsAQCUK1cObdq0wfLlywEAycnJiI2NRWBgoNJGXFwcAgIC4OrqChsbG7Rs2RIAHjqXISkpCX369EGVKlVga2uLypUrF7hf/fr1DdYbNmyIU6dOoWLFio91zCICANBoNIVuL2zb/a5du4bBgwejevXqsLOzg52dHTIyMlTxe3t7K/93cHAAAHh5eRmU3bt3r8h73bVq1YKpqamy7uTkhGvXrhXaj0ajgaOjo1InISEBderUgbW1tVLH19cXeXl5SExMLLDPhIQENG7c2OBcNGnSxKBObm4upk2bBm9vb9jb20Ov12Pbtm0PfezDwsLQt29fZb1v376IjIxUJrImJibCzMzM4BMO7u7uKF26dJHtFmThwoWoX78+ypUrB71ej8WLFz/X82yIShITBFKEhYUhJycHFStWhJmZGczMzLBgwQJERkYiNTUVABAYGIh169YhOzsbK1asQK1atVCnTh0AwO3bt9G2bVvo9XosW7YMBw8exIYNGwAAWVlZRfbdqVMn3LhxA4sXL8b+/fuxf//+Ave7/0XNGOXKlUOpUqVw8uTJArefOnUKGo0GVatWLXB79erVkZCQ8NB+goKCcPjwYcydOxcxMTGIj4+Hvb29Kn5zc3Pl//kvtgWV5eXlFdrX/fXz93mwflF1ikp6ikqUHmb27NmYM2cOxo4di507dyI+Ph7+/v5FPvYnT57E/v37MXbsWOWaa9y4Me7evYuVK1cW2ff95SYmJqqyByexrlmzBu+//z4GDhyIbdu2IT4+Hm+88cZDr02iFxUTBAIA5OTk4Pvvv8fs2bMRHx+vLEePHoWrq6syatClSxfcu3cPW7ZswYoVKwze+Z06dQp//fUXZsyYgZdffhk1a9ZUvbO1sLAA8M+7zXw3btxAQkICJk2ahFdeeQUeHh5KQvKkTExM0KNHD6xYsQJXr1412Hb37l3Mnz8f/v7+KFOmTIH79+nTB6dPn8aPP/6o2iYiSEtLAwDs3r0bw4cPR4cOHVCrVi1otVr89ddfxXIMxc3T0xPx8fG4ffu2UrZ3716YmJigevXqhe6zb98+g7IH13fv3o2AgAD07dsXderUQZUqVXDmzJkiYwkLC0Pz5s1x9OhRg+tu7NixCAsLAwDUrFkTOTk5iIuLU/Y7e/aswUdl879cKSUlRSmLj49Xxde0aVMMGTIEdevWhbu7O5KSkoqMj+hFxgSBAACbN29GamoqBg0ahNq1axss3bp1U56sra2tERAQgODgYCQkJKBPnz5KGy4uLrCwsMBXX32Fc+fOYePGjZgyZYpBP66urtBoNNi8eTOuX7+OjIwMlC5dGvb29li0aBHOnj2LnTt3YtSoUUbFfeDAAdSsWbPIz85PmzYNjo6OaNOmDX755RdcunQJv/32G/z9/ZGdnY2vv/660H179OiBnj17onfv3pg+fToOHTqECxcuYPPmzWjdujWioqIA/DPkvXTpUiQkJGD//v0IDAyETqcz6hietcDAQFhaWmLAgAE4fvw4oqKiMGzYMPTr10+57fGgwYMHIykpCaNGjUJiYiJWrFih+jiiu7s7fv31V8TExCAhIQHvvPOOKim7X3Z2NpYuXYrevXurrrk333wThw8fxtGjR1GzZk20bt0ab7/9Ng4cOIC4uDi8/fbb0Ol0yoiHTqdD48aNMWPGDJw8eRK//fYbJk2apIrv0KFD2Lp1K06fPo3g4GAcPHjwyU4m0X8YEwQC8M87udatW8POzk61rWvXroiPj8eRI0cA/PMCc/ToUbz88stwcXFR6pUrVw4RERFYu3YtPD09MWPGDHz22WcGbVWsWBEfffQRxo8fDwcHBwwdOhQmJiZYtWoVDh8+jNq1a+P999/HrFmzjIr7zp07SExMLPI7EcqWLYt9+/bBz88P77zzDqpUqYIePXqgSpUqOHjwIKpUqVLovhqNBitWrMDnn3+ODRs2oEWLFvD29kZoaCgCAgLg7+8P4J/vjkhNTUXdunXRr18/DB8+HOXLlzfqGJ41KysrbN26FTdv3kSDBg3QrVs3vPLKK5g3b16h+7i4uGD9+vXYtGkT6tSpg4ULF+KTTz4xqBMcHIx69erB398fLVu2hKOjI7p06VJomxs3bsSNGzfw2muvqbZVq1YNXl5eSmL6/fffw8HBAc2bN8drr72Gt956CzY2NrC0tFT2WbJkCbKzs1G/fn2MGDECU6dONWhz8ODBeP3119GzZ080atQIN27cwJAhQ4w5ZUQvJI0Yc3ORiOg5cvnyZTg7O2P79u145ZVXnlm/6enpsLOzw/EJHrCx/N9EUZfJx55ZDETPillJB0BE9DA7d+5ERkYGvLy8kJKSgrFjx8LNzQ3Nmzcv6dCI/rOYIBDRcy87Oxsffvghzp07BxsbGzRt2hTLly9XfVqDiIoPEwQieu75+/sr8z2I6NngJEUiIiJSYYJAREREKkwQiIiISIUJAhEREakwQSAiIiIVJghERESkwgSBiIiIVPhVy0RERsr/quW0tDTY2tqWdDhETxVHEIiIiEiFCQIRERGpMEEgIiIiFSYIREREpMIEgYiIiFSYIBAREZEKEwQiIiJSYYJAREREKmYlHQAR0b9N80krYarVlXQYxe7wrP4lHQI9RziCQERERCpMEIiIiEiFCQIRERGpMEEgIiIilSdOEO7du1cccRAREdFz5LEShLy8PEyZMgUVK1aEXq/HuXPnAADBwcEICwsr1gCJiIjo2XusBGHq1KmIiIjAzJkzYWFhoZR7eXnh22+/LbbgiIiIqGQ8VoLw/fffY9GiRQgMDISpqalS7u3tjVOnThVbcERERFQyHitBuHLlCtzd3VXleXl5yM7OfuKgiIiIqGQ9VoJQq1Yt7N69W1W+du1a1K1b94mDIiIiopL1WF+1HBISgn79+uHKlSvIy8tDZGQkEhMT8f3332Pz5s3FHSMRERE9Y481gtCpUyesXr0aP//8MzQaDSZPnoyEhARs2rQJbdq0Ke4YiYiI6Bl77B9r8vf3h7+/f3HGQkRERM+JJ/6ipIyMDKSnpxssRERPw/79+/HFF19AREo6FKISERoaCh8fn2fS12MlCMnJyXj11VdhbW0NOzs7lC5dGqVLl0apUqVQunTp4o6RqERFRESgVKlSJR2GUYyJ9Vk+wRSny5cvo0ePHqhbty40Gs1D60dHR0Oj0eDWrVtPPzh6oQQFBaFLly4lHcZT91gJQmBgIFJTU7FkyRLs2LEDO3fuxM6dOxEVFYWdO3cWd4z0H/e8/7H17NkTp0+ffqx9T506BY1Gg/379xuUN2rUCFqtFnfu3FHKsrKyYGVlhUWLFj1RvE9DaGgoNBoNNBoNzMzMULZsWTRv3hxz585FZmbmU+8/KysLPXr0wOzZs9G8eXOj9mnatClSUlJgZ2f3lKMj+m96rATh999/R3h4OHr27ImWLVuiRYsWBgvRs/S0v3tDp9OhfPnyj7VvzZo14eTkhKioKKUsIyMDcXFxKF++PGJiYpTy/fv34+7du/Dz83usvp72eahVqxZSUlJw8eJFREVFoXv37pg+fTqaNm2Kv//++6n2bWFhgZiYGHTr1u2R9nF0dDRqtIGouOzatQsNGzaEVquFk5MTxo8fj5ycHGV7Xl4ePv30U7i7u0Or1cLFxQXTpk1Tto8bNw7Vq1eHlZUVqlSpguDg4BL7fqHHShAaNGiAS5cuFXcsRHBzc8PcuXMNynx8fBAaGqqsazQaLFy4EAEBAbC2tsbUqVORm5uLQYMGoXLlytDpdKhRowa++OILg3aio6PRsGFDWFtbo1SpUvD19cWFCxcAAEePHoWfnx9sbGxga2uLl156CYcOHQJQ8LD9xo0bUb9+fVhaWqJs2bJ4/fXXCz2mli1bIjo6WlnfvXs3qlevjs6dOxuUR0dHo2LFiqhWrRry8vLw8ccfo1KlStBqtfDx8cGWLVuUuufPn4dGo8GaNWvQsmVLWFpaYtmyZQX2P2PGDDg4OMDGxgaDBg167B9YMzMzg6OjIypUqAAvLy8MGzYMu3btwvHjx/Hpp58q9VJTU9G/f3+ULl0aVlZWaN++Pc6cOaNszz+fmzdvRo0aNWBlZYVu3brh9u3b+O677+Dm5obSpUtj2LBhyM3NVfZ78NrQaDT49ttv8dprr8HKygrVqlXDxo0bDc7ng7cY1q9fj1q1akGr1cLNzQ2zZ88u8pgzMzM5x4qMduXKFXTo0AENGjTA0aNHsWDBAoSFhWHq1KlKnQkTJuDTTz9FcHAwTp48iRUrVsDBwUHZbmNjg4iICJw8eRJffPEFFi9ejDlz5pTE4QDyGM6ePSutW7eWiIgIOXTokBw9etRgIXoUAwYMkICAABERcXV1lTlz5hhsr1OnjoSEhCjrAKR8+fISFhYmSUlJcv78ecnKypLJkyfLgQMH5Ny5c7Js2TKxsrKS1atXi4hIdna22NnZyQcffCBnz56VkydPSkREhFy4cEFERGrVqiV9+/aVhIQEOX36tKxZs0bi4+NFRCQ8PFzs7OyU/jdv3iympqYyefJkOXnypMTHx8u0adMKPb5FixaJtbW1ZGdni4jImDFj5L333pPVq1dL06ZNlXp+fn7St29fERH5/PPPxdbWVlauXCmnTp2SsWPHirm5uZw+fVpERJKTkwWAuLm5yfr16+XcuXNy5coVVayrV68WCwsLWbx4sZw6dUomTpwoNjY2UqdOHaVOVFSUAJDk5ORCjyEkJMRgn/sFBASIh4eHst65c2fx8PCQ3377TeLj48Xf31/c3d0lKytLOZ/m5ubSpk0bOXLkiOzatUvs7e2lbdu20qNHDzlx4oRs2rRJLCwsZNWqVUq7D14bAKRSpUqyYsUKOXPmjAwfPlz0er3cuHHD4LhSU1NFROTQoUNiYmIiH3/8sSQmJkp4eLjodDoJDw8v8rgBqJbjEzwK3Yf+++5/zrrfhx9+KDVq1JC8vDyl7Ouvvxa9Xi+5ubmSnp4uWq1WFi9ebHRfM2fOlJdeeklZL+pvsbg9VoIQGxsrlStXFo1GoywmJibKv0SP4nEShJEjRz603SFDhkjXrl1FROTGjRsCQKKjowusa2NjIxEREQVue/BFt0mTJhIYGPjQ/vOdPn1aAEhMTIyIiDRo0EDWrFkjV69eFQsLC7l9+7ZkZmaKTqeTsLAwERGpUKGCKulo0KCBDBkyRET+lyDMnTv3obEOHjzYoE6jRo0MnmD2798vNWrUkMuXLxd6DEU9KY0bN050Op3Bse7du1fZ/tdff4lOp5M1a9YoMQKQs2fPKnXeeecdsbKykr///lsp8/f3l3feeUdZLyhBmDRpkrKekZEhGo1GfvnlFxFRJwh9+vSRNm3aGMQ+ZswY8fT0LPS47927J2lpacpy6dIlJghUaILw2muvSVBQkEFZfHy8AJALFy7I/v37BYCcO3eu0LbXrl0rvr6+4uDgINbW1qLVaqVcuXLK9meZIDzWLYaBAweibt26iI2Nxblz55CcnGzwL9HTVr9+fVXZwoULUb9+fZQrVw56vR6LFy/GxYsXAQBlypRBUFAQ/P390alTJ3zxxRdISUlR9h01ahTefPNNtG7dGjNmzEBSUlKhfcfHx+OVV14xOtZq1aqhUqVKiI6ORnp6OuLi4tCiRQs4ODigcuXK2Lt3L/bt24e7d++iVatWSE9Pxx9//AFfX1+Ddnx9fZGQkPDQ83C/hIQENGnSxKDswfWGDRvi1KlTqFixotHHdD8RUe7zJyQkwMzMDI0aNVK229vbo0aNGgaxW1lZoWrVqsq6g4MD3NzcoNfrDcquXbtWZN/e3t7K/62trWFjY1PoPgkJCQWe0zNnzhjcyrifVquFra2twUJUmPv/Fu4vA/65JabT6Yrcf9++fejVqxfat2+PzZs3Iy4uDhMnTkRWVtZTi7koj5UgXLhwAZ9++ikaNWoENzc3uLq6GixEj8vExET1GfeCJuhYW1sbrK9Zswbvv/8+Bg4ciG3btiE+Ph5vvPGGwR9WeHg4YmNj0bRpU6xevRrVq1fHvn37APwzS//EiRN49dVXsXPnTnh6emLDhg0FxviwP/KCtGzZElFRUdi9ezeqVaumTHps0aIFoqKiEBUVBVdXV7i5uSn7FPRE82DZg+ehJCQkJKBy5coAUOj3EzwYu7m5ucF2jUZTYFleXl6RfT/KPkU9eRMVB09PT8TExBhcVzExMbCxsVHmF+l0OuzYsaPA/ffu3QtXV1dMnDgR9evXR7Vq1ZR5UiXhsRKEVq1a4ejRo8UdCxHKlStn8M4+PT0dycnJD91v9+7daNq0KYYMGYK6devC3d29wFGAunXrYsKECYiJiUHt2rWxYsUKZVv16tXx/vvvY9u2bXj99dcRHh5eYF/e3t6F/oEXxs/PDzExMfj111/RsmVLpbxFixaIjo5GdHQ0WrVqBQCwtbVFhQoVsGfPHoM2YmJi4OHh8Uj9enh4KElQvgfXn8SpU6ewZcsWdO3aFcA/T5A5OTkGH+u8ceMGTp8+/cixFzdPT88Cz2n16tUNfraeyBhpaWmIj483WN5++21cunQJw4YNw6lTp/Djjz8iJCQEo0aNgomJCSwtLTFu3DiMHTsW33//PZKSkrBv3z6EhYUBANzd3XHx4kWsWrUKSUlJ+PLLLwt9o/IsPNZXLXfq1Anvv/8+jh07Bi8vL1UW37lz52IJjl48rVq1QkREBDp16oTSpUsjODjYqCdvd3d3fP/999i6dSsqV66MpUuX4uDBg8o72+TkZCxatAidO3dGhQoVkJiYiNOnT6N///64e/cuxowZg27duqFy5cq4fPkyDh48qLzoPSgkJASvvPIKqlatil69eiEnJwe//PILxo4dW2h8fn5+uH37NpYsWYLFixcr5S1atEBQUBBMTU0xcOBApXzMmDEICQlB1apV4ePjg/DwcMTHx2P58uXGnkoAwIgRIzBgwADUr18fzZo1w/Lly3HixAlUqVJFqXPgwAH0798fO3bsKPI2Q05ODq5evYq8vDzcuHED0dHRmDp1Knx8fDBmzBgA/9xOCQgIwFtvvYVvvvkGNjY2GD9+PCpWrIiAgIBHir24jR49Gg0aNMCUKVPQs2dPxMbGYt68eZg/f36JxkX/TtHR0apfLx4wYAB+/vlnjBkzBnXq1EGZMmUwaNAgTJo0SakTHBwMMzMzTJ48GX/88QecnJwwePBgAEBAQADef/99DB06FJmZmXj11VcRHBxs8CmuZ+pxJi7cPznxwYWTFOlR9evXT5lMmJaWJj169BBbW1txdnaWiIiIAicpbtiwwaCNe/fuSVBQkNjZ2UmpUqXk3XfflfHjxyuTea5evSpdunQRJycnsbCwEFdXV5k8ebLk5uZKZmam9OrVS5ydncXCwkIqVKggQ4cOlbt374qIeuKfiMj69evFx8dHLCwspGzZsvL6668/9DhdXV0FgKSkpBiUV61aVQDIpUuXlLLc3Fz56KOPpGLFimJubi516tRRJt+J/G+SYlxcnEFbBcU6bdo0KVu2rOj1ehkwYICMHTv2sT7FgP+fwW9qaiplypSRZs2ayZw5c+TevXsGdW/evCn9+vUTOzs70el04u/vr3z6orAYC5p49eBEsIImKT54HdjZ2SmfSnhwkqKIyLp168TT01PMzc3FxcVFZs2aVegxFyQtLY2TFOmFoRHhTTgqWe3atYO7uzvmzZtX0qEQFSk9PR12dnY4PsEDtT45WdLhED1VT/xjTUSPKzU1FT/99BOio6PRunXrkg6HiIjuY/QchC+//NLoRocPH/5YwdCLZeDAgTh48CBGjx5d4veniYjIkNG3GPInez20QY2G34VARP9JvMVALxKjRxCM+agZERER/TdwDgIRERGpGD2CMGrUKEyZMgXW1tYYNWpUkXU///zzJw6MiIiISo7RCUJcXBxOnTqFunXrIi4urtB6/O11IiKifz+jE4SoqCiYmpoiJSUFUVFRAICePXviyy+/NPgtayIiIvr3e6SvWn7wAw+//PILbt++XawBERERPUsvjfn+mfZ3eFb/Z9rf43qiSYr8EkYiIqKnq2XLlhg5cqSq/IcfflBu6+fm5mL69OmoWbMmdDodypQpg8aNGxf6o3PGeKQRBI1Go5pjwDkHREREJSs0NBSLFi3CvHnzUL9+faSnp+PQoUNITU197DYf+RZDUFAQtFotAODevXsYPHiw6jfpIyMjHzsgIqLnnfP44vvJbKLisGnTJgwZMgTdu3dXyurUqfNEbT5SgjBgwACD9b59+z5R50RERPTkHB0dsXPnTgwZMgTlypUrljYfKUF4knsZRERE9HR8/vnn6NatGxwdHVGrVi00bdoUAQEBaN++/WO3yW9SJCIi+pfz9PTE8ePHsW/fPrzxxhv4888/0alTJ7z55puP3SYTBCIioueYra0t0tLSVOW3bt2Cra2tsm5iYoIGDRrg/fffx4YNGxAREYGwsLDH/i0lJghERETPsZo1a+LQoUOq8oMHD6JGjRqF7ufp6QkAj/19RY80B4GIiIierSFDhmDevHl477338Pbbb0On0+HXX39FWFgYli5dCgDo1q0bfH190bRpUzg6OiI5ORkTJkxA9erVUbNmzcfqVyP8tiMiIqOkp6fDzs4OaWlpBkO7RE/b4cOHMXHiRMTFxeHevXuoXr06Ro8ejV69egEAFi9ejJUrV+L48eNIS0uDo6MjWrVqhdDQULi6uj5Wn0wQiIiMxASBXiScg0BEREQqnINARPSImk9aCVOtrqTDKFb/lh8QomeHIwhERESkwgSBiIiIVJggEBERkQoTBCIiIlJhgkBEREQqTBCIiIhIhQkCERERqfB7EIiI6IV28WOvZ9qfy+Rjz7S/x8URBCIioudYUFAQNBqNstjb26Ndu3b4/ffflTr3b9fr9ahTpw4iIiKeqF8mCERERM+5du3aISUlBSkpKdixYwfMzMzQsWNHgzrh4eFISUnB0aNH0bNnT7zxxhvYunXrY/fJBIGIiOg5p9Vq4ejoCEdHR/j4+GDcuHG4dOkSrl+/rtQpVaoUHB0dUbVqVXz44YcoU6YMtm3b9th9cg4CERHRv0hGRgaWL18Od3d32Nvbq7bn5uZi/fr1uHnzJszNzR+7HyYIREREz7nNmzdDr9cDAG7fvg0nJyds3rwZJib/uxHQu3dvmJqa4t69e8jNzUWZMmXw5ptvPnafvMVAT6xly5YYOXKk0fXPnz8PjUaD+Pj4pxbTf92/8RxqNBr88MMPJR0G0b+Sn58f4uPjER8fj/3796Nt27Zo3749Lly4oNSZM2cO4uPj8euvv8LHxwdz5syBu7v7Y/fJBIFU8mfMDh48WLVtyJAh0Gg0CAoKUsoiIyMxZcoUo9t3dnZGSkoKateuXRzhPpbIyEi0adMG5cqVg62tLZo0afJEk3kuX74MCwsL1KxZ0+h9Ll26hEGDBqFChQqwsLCAq6srRowYgRs3bjx03+fhHJaU9evXo1WrVihdujSsrKxQo0YNDBw4EHFxcSUdGtFTY21tDXd3d7i7u6Nhw4YICwvD7du3sXjxYqWOo6Mj3N3d4efnh7Vr1+K9997DyZMnH7tPJghUIGdnZ6xatQp3795Vyu7du4eVK1fCxcXFoG6ZMmVgY2NjdNumpqZwdHSEmVnJ3eH67bff0KZNG/z88884fPgw/Pz80KlTp8d+kYmIiECPHj1w584d7N2796H1z507h/r16+P06dNYuXIlzp49i4ULF2LHjh1o0qQJbt68Wei+WVlZz8U5LAnjxo1Dz5494ePjg40bN+LEiRNYtGiRMimrMNnZ2c8wSqKnT6PRwMTExOA5+n7u7u7o2rUrJkyY8Nh9MEGgAtWrVw8uLi6IjIxUyiIjI+Hs7Iy6desa1H3wFoObmxs++eQTDBw4EDY2NnBxccGiRYuU7QUNj+/atQsNGzaEVquFk5MTxo8fj5ycHIM+hg8fjrFjx6JMmTJwdHREaGioQRyhoaFwcXGBVqtFhQoVMHz48EKPb+7cuRg7diwaNGiAatWq4ZNPPkG1atWwadOmRzxTgIggPDwc/fr1Q58+fRAWFvbQfd577z1YWFhg27ZtaNGiBVxcXNC+fXts374dV65cwcSJE5W6bm5umDp1KoKCgmBnZ4e33nqrwHO4ceNGVKtWDTqdDn5+fvjuu++g0Whw69YtpU5MTAyaN28OnU4HZ2dnDB8+HLdv31b11b9/f+j1eri6uuLHH3/E9evXERAQAL1eDy8vLxw6dKjI4ztz5gyaN28OS0tLeHp64tdff1XVuXLlCnr27InSpUvD3t4eAQEBOH/+fKFt7tu3DzNnzsTnn3+Ozz//HC+//DIqV66MFi1aYOLEifj555+VuqGhofDx8cGSJUtQpUoVaLVaiAjc3Nwwd+5cg3Z9fHxU1xLR8yYzMxNXr17F1atXkZCQgGHDhiEjIwOdOnUqdJ/Ro0dj06ZND/17LcyL9faDHskbb7yB8PBwBAYGAgCWLFmCgQMHIjo6+qH7zp49G1OmTMGHH36IdevW4d1330Xz5s0LHIK/cuUKOnTogKCgIHz//fc4deoU3nrrLVhaWho8cX/33XcYNWoU9u/fj9jYWAQFBcHX1xdt2rTBunXrMGfOHKxatQq1atXC1atXcfToUaOPNS8vD3///TfKlCmjlEVHR8PPzw/Jyclwc3MrdN+oqCjcuXMHrVu3RqVKldCoUSN88cUXhY6q3Lx5E1u3bsW0adOg0+kMtjk6OiIwMBCrV6/G/PnzodFoAACzZs1CcHAwJk2aVGCb58+fR7du3TBixAi8+eabiIuLwwcffGBQ59ixY/D398eUKVMQFhaG69evY+jQoRg6dCjCw8OVenPmzMEnn3yC4OBgzJkzB/369YOvry8GDhyIWbNmYdy4cejfvz9OnDihxPfguXz99ddRtmxZ7Nu3D+np6ao5Knfu3IGfnx9efvll/PbbbzAzM8PUqVOVL3+xsLBQtbty5Uro9XoMGTKkwHPwYCxnz57FmjVrsH79epiamha4z8NkZmYiMzNTWU9PT3+sduj59m/4ZsMtW7bAyckJAGBjY4OaNWti7dq1aNmyZaH7eHl5oXXr1pg8ebJBAm00IXrAgAEDJCAgQK5fvy5arVaSk5Pl/PnzYmlpKdevX5eAgAAZMGCAUr9FixYyYsQIZd3V1VX69u2rrOfl5Un58uVlwYIFIiKSnJwsACQuLk5ERD788EOpUaOG5OXlKft8/fXXotfrJTc3V+mjWbNmBnE2aNBAxo0bJyIis2fPlurVq0tWVtZjHfPMmTOlTJky8ueffypl+/fvlxo1asjly5eL3LdPnz4ycuRIZb1OnTqyePHiQuvv27dPAMiGDRsK3P75558LACUWV1dX6dKli0GdB8/huHHjpHbt2gZ1Jk6cKAAkNTVVRET69esnb7/9tkGd3bt3i4mJidy9e1fp6/7HLiUlRQBIcHCwUhYbGysAJCUlpcD4t27dKqampnLp0iWl7JdffjE45rCwMNVjnpmZKTqdTrZu3Vpgu+3atRNvb2+DstmzZ4u1tbWy3Lp1S0REQkJCxNzcXK5du2ZQ39XVVebMmWNQVqdOHQkJCSmwz5CQEAGgWo5P8JALH9UucB+i/wreYqBClS1bFq+++iq+++47hIeH49VXX0XZsmWN2tfb21v5v0ajgaOjI65du1Zg3YSEBDRp0sTgHaCvry8yMjJw+fLlAtsEACcnJ6XN7t274+7du6hSpQreeustbNiwweAWRVFWrlyJ0NBQrF69GuXLl1fKGzZsiFOnTqFixYqF7nvr1i1ERkaib9++Slnfvn2xZMkSo/ouiIgAMHxHXL9+/SL3SUxMRIMGDQzKGjZsaLB++PBhREREQK/XK4u/vz/y8vKQnJys1Lv/PDs4OAD4553Ig2VFPZ4uLi6oVKmSUtakSRNVLGfPnoWNjY0SS5kyZXDv3j0kJSUVepwPjhIMHDgQ8fHx+Oabb3D79m3l3AGAq6srypUrV2hbxpgwYQLS0tKU5dKlS0/UHtG/CW8xUJEGDhyIoUOHAgC+/vpro/d78Ms5NBoN8vLyCqwrIqon/oJeJItq09nZGYmJifj111+xfft2DBkyBLNmzcKuXbuK/KKQ1atXY9CgQVi7di1at25t9PHlW7FiBe7du4dGjRoZxJ6Xl4eTJ0/C09NTtY+7uzs0Gg1OnjyJLl26qLafOnUKpUuXNkjGrK2ti4yjqHOYLy8vD++8806BczPun3h6//nKb7OgsqIezwc9GFteXh5eeuklLF++XFW3sBf1atWqYc+ePcjOzlbiKVWqFEqVKmWQSOYr6JyZmJio4itqAqNWq4VWqy10O9F/GUcQqEjt2rVDVlYWsrKy4O/v/1T68PT0RExMjMETd0xMDGxsbIp89/4gnU6Hzp0748svv0R0dDRiY2Nx7Fjh9xZXrlyJoKAgrFixAq+++upjxR4WFobRo0crn0+Oj4/H0aNH4efnV+gogr29Pdq0aYP58+erZiBfvXoVy5cvR8+ePQu8v1+YmjVr4uDBgwZlD05MqlevHk6cOKF8VOr+paB7/o/L09MTFy9exB9//KGUxcbGqmI5c+YMypcvr4rFzs6uwHZ79+6NjIwMzJ8//7FjK1euHFJSUpT19PR0g9ETIvofJghUJFNTUyQkJCAhIeGxJ3o9zJAhQ3Dp0iUMGzYMp06dwo8//oiQkBCMGjXK4FvCihIREYGwsDAcP34c586dw9KlS6HT6eDq6lpg/ZUrV6J///6YPXs2GjdurMwOTktLU+ocOHAANWvWxJUrVwpsIz4+HkeOHMGbb76J2rVrGyy9e/fG999/X+i703nz5iEzMxP+/v747bffcOnSJWzZsgVt2rRBxYoVMW3aNKOOO98777yDU6dOYdy4cTh9+jTWrFmj/JJbfqIxbtw4xMbG4r333kN8fDzOnDmDjRs3YtiwYY/U18O0bt0aNWrUQP/+/XH06FHs3r3b4FMZABAYGIiyZcsiICAAu3fvRnJyMnbt2oURI0YUOBoA/HObYvTo0Rg9ejRGjRqFPXv24MKFC9i3bx/CwsKUj30VpVWrVli6dCl2796N48ePY8CAAU/tuib6t2OCQA9la2sLW1vbp9Z+xYoV8fPPP+PAgQOoU6cOBg8ejEGDBhU6Y78gpUqVwuLFi+Hr6wtvb2/s2LEDmzZtKvB7ygHgm2++QU5ODt577z04OTkpy4gRI5Q6d+7cQWJiYqEv8mFhYfD09CzwkxldunTBzZs3C/3YZLVq1XDo0CFUrVoVPXv2RNWqVfH222/Dz88PsbGxBp+mMEblypWxbt06REZGwtvbGwsWLFBelPOHyL29vbFr1y6cOXMGL7/8MurWrYvg4GBlZnRxMTExwYYNG5CZmYmGDRvizTffVCU8VlZW+O233+Di4oLXX38dHh4eGDhwIO7evVvktfbZZ59hxYoViIuLQ8eOHVGtWjV0794deXl5iI2Nfeh1OmHCBDRv3hwdO3ZEhw4d0KVLF1StWrVYjpvov0YjBd0wJKJ/vWnTpmHhwoWcWFeM0tPTYWdnh+MTPGBjafqv+Hgc0ePiJEWi/4j58+ejQYMGsLe3x969ezFr1ixlgikR0aNigkD0H3HmzBlMnToVN2/ehIuLC0aPHv1EX7NKRC823mIgIjISbzHQi4STFImIiEiFCQIRERGpMEEgIiIiFSYIREREpMIEgYiIiFSYIBAREZEKEwQiIiJSYYJAREREKkwQiIiISIXfpEhEZKT8b1JMS0t7qr9wSvQ84AgCERERqTBBICIiIhUmCERERKTCBIGIiIhUmCAQERGRChMEIiIiUmGCQERERCpMEIiIiEjFrKQDICL6t2k+aSVMtbqSDqNYHZ7Vv6RDoOcMRxCIiIhIhQkCERERqTBBICIiIhUmCERERKTCBIGIiIhUmCAQERGRChMEIiIiUmGCQERERCpMEIiIiEiFCQIRERGpMEEgIiIiFSYIREREpMIEgYiIiFSYIBAREZEKEwQiIiJSYYJARI8sKCgIGo1GWezt7dGuXTv8/vvvRrcRGhoKHx+fpxckET0RJghE9FjatWuHlJQUpKSkYMeOHTAzM0PHjh1LOiwiKiZMEIjosWi1Wjg6OsLR0RE+Pj4YN24cLl26hOvXrwMAxo0bh+rVq8PKygpVqlRBcHAwsrOzAQARERH46KOPcPToUWUUIiIiAgCg0WjwzTffoGPHjrCysoKHhwdiY2Nx9uxZtGzZEtbW1mjSpAmSkpKUWJKSkhAQEAAHBwfo9Xo0aNAA27dvN4jXzc0Nn3zyCQYOHAgbGxu4uLhg0aJFRR5jZmYm0tPTDRaiF4YQET2iAQMGSEBAgLL+999/yzvvvCPu7u6Sm5srIiJTpkyRvXv3SnJysmzcuFEcHBzk008/FRGRO3fuyOjRo6VWrVqSkpIiKSkpcufOHRERASAVK1aU1atXS2JionTp0kXc3NykVatWsmXLFjl58qQ0btxY2rVrp/QfHx8vCxculN9//11Onz4tEydOFEtLS7lw4YJSx9XVVcqUKSNff/21nDlzRqZPny4mJiaSkJBQ6HGGhIQIANVyfIKHXPiodnGeUqLnDhMEInpkAwYMEFNTU7G2thZra2sBIE5OTnL48OFC95k5c6a89NJLynpISIjUqVNHVQ+ATJo0SVmPjY0VABIWFqaUrVy5UiwtLYuM0dPTU7766itl3dXVVfr27aus5+XlSfny5WXBggWFtnHv3j1JS0tTlkuXLjFBoBeGWUmNXBDRv5ufnx8WLFgAALh58ybmz5+P9u3b48CBA3B1dcW6deswd+5cnD17FhkZGcjJyYGtra1RbXt7eyv/d3BwAAB4eXkZlN27dw/p6emwtbXF7du38dFHH2Hz5s34448/kJOTg7t37+LixYuFtqvRaODo6Ihr164VGodWq4VWqzUqZqL/GiYIRPRYrK2t4e7urqy/9NJLsLOzw+LFi9GxY0f06tULH330Efz9/WFnZ4dVq1Zh9uzZRrVtbm6u/F+j0RRalpeXBwAYM2YMtm7dis8++wzu7u7Q6XTo1q0bsrKyCm03v538NojIEBMEIioWGo0GJiYmuHv3Lvbu3QtXV1dMnDhR2X7hwgWD+hYWFsjNzS2Wvnfv3o2goCC89tprAICMjAycP3++WNomelExQSCix5KZmYmrV68CAFJTUzFv3jxkZGSgU6dOSEtLw8WLF7Fq1So0aNAAP/30EzZs2GCwv5ubG5KTkxEfH49KlSrBxsbmsYfz3d3dERkZiU6dOkGj0SA4OJgjA0RPiB9zJKLHsmXLFjg5OcHJyQmNGjXCwYMHsXbtWrRs2RIBAQF4//33MXToUPj4+CAmJgbBwcEG+3ft2hXt2rWDn58fypUrh5UrVz52LHPmzEHp0qXRtGlTdOrUCf7+/qhXr96THiLRC00jIlLSQRAR/Rukp6fDzs4Oxyd4wMbSFC6Tj5V0SERPDUcQiIiISIUJAhEREakwQSAiIiIVJghERESkwgSBiIiIVJggEBERkQoTBCIiIlJhgkBEREQqTBCIiIhIhQkCERERqTBBICIiIhX+FgMRkZHyf4shLS0Ntra2JR0O0VPFEQQiIiJSYYJAREREKkwQiIiISIUJAhEREakwQSAiIiIVJghERESkwgSBiIiIVJggEBERkQoTBCIiIlIxK+kAiIj+bZpPWglTra6kw3gih2f1L+kQ6DnHEQQiIiJSYYJAREREKkwQiIiISIUJAhEREakwQSAiIiIVJghERESkwgSBiIiIVJggEBERkQoTBCIiIlJhgkBEREQqTBCIiIhIhQkCERERqTBBICIiIhUmCPTCOn/+PDQaDeLj40s6FCoGt27dQs2aNdG4cWNcvHgRNWvWLOmQiP7VmCDQf5JGoylyCQoKKukQDdSoUQMWFha4cuVKSYfyRPKTrqKW0NDQp9J3TEwMWrZsiXfffRetWrVC165dn0o/RC8Ks5IOgOhpSElJUf6/evVqTJ48GYmJiUqZTqdDamrqU+k7KysLFhYWRtffs2cP7t27h+7duyMiIgITJ058KnE9zKPGXRBnZ2eDc//ZZ59hy5Yt2L59u1Km1+uV/4sIcnNzYWb25E9FHTp0QIcOHQAAAwYMeOL2iF50HEGg/yRHR0dlsbOzg0ajUZXlO3fuHPz8/GBlZYU6deogNjbWoK3169ejVq1a0Gq1cHNzw+zZsw22u7m5YerUqQgKCoKdnR3eeuutR4o1LCwMffr0Qb9+/bBkyRKISIHt9+/fH3q9Hq6urvjxxx9x/fp1BAQEQK/Xw8vLC4cOHXoqcYsIZs6ciSpVqkCn06FOnTpYt25dgXVNTU0NzrNer4eZmZmyfurUKdjY2GDr1q2oX78+tFotdu/ejczMTAwfPhzly5eHpaUlmjVrhoMHDwIA8vLyUKlSJSxcuNCgryNHjkCj0eDcuXMAgM8//xxeXl6wtraGs7MzhgwZgoyMjEc6J0T0P0wQ6IU3ceJEfPDBB4iPj0f16tXRu3dv5OTkAAAOHz6MHj16oFevXjh27BhCQ0MRHByMiIgIgzZmzZqF2rVr4/DhwwgODgbwz22OB+s96O+//8batWvRt29ftGnTBrdv30Z0dLSq3pw5c+Dr64u4uDi8+uqr6NevH/r374++ffviyJEjcHd3R//+/ZXk4kniftCkSZMQHh6OBQsW4MSJE3j//ffRt29f7Nq16+EntxBjx47F9OnTkZCQAG9vb4wdOxbr16/Hd999pxyPv78/bt68CRMTE/Tq1QvLly83aGPFihVo0qQJqlSpAgAwMTHBl19+iePHj+O7777Dzp07MXbsWKW+sefkfpmZmUhPTzdYiF4YQvQfFx4eLnZ2dqry5ORkASDffvutUnbixAkBIAkJCSIi0qdPH2nTpo3BfmPGjBFPT09l3dXVVbp06aJqv0aNGhIZGVlkbIsWLRIfHx9lfcSIERIYGGhQx9XVVfr27ausp6SkCAAJDg5WymJjYwWApKSkPHHc98vIyBBLS0uJiYkxKB80aJD07t27yH1FREJCQqROnTrKelRUlACQH374waAPc3NzWb58uVKWlZUlFSpUkJkzZ4qIyJEjR0Sj0cj58+dFRCQ3N1cqVqwoX3/9daF9r1mzRuzt7ZV1Y85JQfEDUC3HJ3jIhY9qP/T4if7NOIJALzxvb2/l/05OTgCAa9euAQASEhLg6+trUN/X1xdnzpxBbm6uUla/fn1Vu6dOncJrr71WZN9hYWHo27evst63b19ERkbi1q1bhcbo4OAAAPDy8lKVFUfc9zt58iTu3buHNm3aQK/XK8v333+PpKSkIvctyv39JiUlITs72yBec3NzNGzYEAkJCQCAunXrombNmli5ciUAYNeuXbh27Rp69Oih7BMVFYU2bdqgYsWKsLGxQf/+/XHjxg3cvn0bgPHn5H4TJkxAWlqasly6dOmxj5no34YJAr3wzM3Nlf9rNBoA/9z3Bv65/55flk8emCMAANbW1o/c78mTJ7F//36MHTsWZmZmMDMzQ+PGjXH37l3lhbCoGJ9F3Pnt/fTTT4iPj1eWkydPFjoPwRj395sfV0Hx3l8WGBiIFStWAPjn9oK/vz/Kli0LALhw4QI6dOiA2rVrY/369Th8+DC+/vprAEB2dnaB7d3fd2G0Wi1sbW0NFqIXBRMEoiJ4enpiz549BmUxMTGoXr06TE1Nn6jtsLAwNG/eHEePHjV48R07dizCwsKeqO3iitvT0xNarRYXL16Eu7u7weLs7PxEMeZzd3eHhYWFQbzZ2dk4dOgQPDw8lLI+ffrg2LFjOHz4MNatW4fAwEBl26FDh5CTk4PZs2ejcePGqF69Ov744w/VsTytx5Lov4gfcyQqwujRo9GgQQNMmTIFPXv2RGxsLObNm4f58+c/dN+aNWti+vTpBd5myM7OxtKlS/Hxxx+jdu3aBtvefPNNzJw5E0ePHkWdOnWeedz3s7GxwQcffID3338feXl5aNasGdLT0xETEwO9Xl8sHye0trbGu+++izFjxqBMmTJwcXHBzJkzcefOHQwaNEipV7lyZTRt2hSDBg1CTk4OAgIClG1Vq1ZFTk4OvvrqK3Tq1Al79+5VfeqhuM4J0YuCIwhERahXrx7WrFmDVatWoXbt2pg8eTI+/vhjo75oKTExEWlpaQVu27hxI27cuFFg8lCtWjV4eXk90SjCk8T9oClTpmDy5MmYPn06PDw84O/vj02bNqFy5cqPHd+DZsyYga5du6Jfv36oV68ezp49i61bt6J06dIG9QIDA3H06FG8/vrr0Ol0SrmPjw8+//xzfPrpp6hduzaWL1+O6dOnG+xbnOeE6EWgkYfdhCMiIgBAeno67OzscHyCB2wsTeEy+VhJh0T01HAEgYiIiFSYIBAREZEKEwQiIiJSYYJAREREKkwQiIiISIUJAhEREakwQSAiIiIVJghERESkwgSBiIiIVJggEBERkQoTBCIiIlJhgkBEREQq/LEmIiIj5f9YU1paGmxtbUs6HKKniiMIREREpMIEgYiIiFSYIBAREZEKEwQiIiJSYYJAREREKkwQiIiISIUJAhEREakwQSAiIiIVs5IOgIjo36b5pJUw1epKNIbDs/qXaP/038cRBCIiIlJhgkBEREQqTBCIiIhIhQkCERERqTBBICIiIhUmCERERKTCBIGIiIhUmCAQERGRChMEIiIiUmGCQERERCpMEIiIiEiFCQIRERGpMEEgIiIiFSYIREREpMIEgZ66iIgIlCpVqqTD+FfSaDT44YcfSjoMInoBvbAJQlBQELp06aIqj46Ohkajwa1bt555TE/bJ598AlNTU8yYMaOkQ3lq4uLi0LFjR5QvXx6WlpZwc3NDz5498ddffz3TOLy8vPDmm28WuG3lypUwNzfHn3/++Uhtnj9/HhqNBvHx8cUQ4fNHRLBo0SI0atQIer0epUqVQv369TF37lzcuXOnpMMjeuG8sAnCiyg8PBxjx47FkiVLHlo3Ozv7GURUvK5du4bWrVujbNmy2Lp1KxISErBkyRI4OTk98xeYQYMGYc2aNQX2u2TJEnTs2BEODg7PNKZn4Umum379+mHkyJEICAhAVFQU4uPjERwcjB9//BHbtm0rxiiJyBhMEIywfv161KpVC1qtFm5ubpg9e7bBdjc3N0ydOhX9+/eHXq+Hq6srfvzxR1y/fh0BAQHQ6/Xw8vLCoUOHDPaLiYlB8+bNodPp4OzsjOHDh+P27dtP3G5Bdu3ahbt37+Ljjz/G7du38dtvvxlsDw0NhY+PD5YsWYIqVapAq9VCRLBlyxY0a9YMpUqVgr29PTp27IikpCRlv/x3tZGRkfDz84OVlRXq1KmD2NhYVQxbt26Fh4cH9Ho92rVrh5SUFGXbwYMH0aZNG5QtWxZ2dnZo0aIFjhw58tDjevB8pqen49tvv0XdunVRuXJltGrVCnPnzoWLi4tS7+TJk+jQoQP0ej0cHBzQr18/gxGGli1bYtiwYRg5ciRKly4NBwcHLFq0CLdv38Ybb7wBGxsbVK1aFb/88kuhsfTr1w+ZmZlYu3atQfnFixexc+dODBo0CACwYMECVK1aFRYWFqhRowaWLl1aaJuVK1cGANStWxcajQYtW7Z87HOXP4L20UcfoXz58rC1tcU777yDrKwspY6xj/2aNWvQsmVLWFpaYtmyZbhx4wZ69+6NSpUqwcrKCl5eXli5cmWR8axZswbLly/HypUr8eGHH6JBgwZwc3NDQEAAdu7cCT8/P6OPNTQ0FC4uLtBqtahQoQKGDx+ubFu2bBnq168PGxsbODo6ok+fPrh27VqhcWVmZiI9Pd1gIXphyAtqwIABEhAQoCqPiooSAJKamioiIocOHRITExP5+OOPJTExUcLDw0Wn00l4eLiyj6urq5QpU0YWLlwop0+flnfffVdsbGykXbt2smbNGklMTJQuXbqIh4eH5OXliYjI77//Lnq9XubMmSOnT5+WvXv3St26dSUoKOiJ2i1Mv3795IMPPhARkdGjR0v//v0NtoeEhIi1tbX4+/vLkSNH5OjRo5KXlyfr1q2T9evXy+nTpyUuLk46deokXl5ekpubKyIiycnJAkBq1qwpmzdvlsTEROnWrZu4urpKdna2iIiEh4eLubm5tG7dWg4ePCiHDx8WDw8P6dOnj9L/jh07ZOnSpXLy5Ek5efKkDBo0SBwcHCQ9Pd3gMWvRokWhxxgbGysAZM2aNYWejz/++EPKli0rEyZMkISEBDly5Ii0adNG/Pz8lDotWrQQGxsbmTJlipw+fVqmTJkiJiYm0r59e1m0aJHyWNjb28vt27cLjad79+6qeENDQ8XJyUlycnIkMjJSzM3N5euvv5bExESZPXu2mJqays6dO5X6AGTDhg0iInLgwAEBINu3b5eUlBS5ceOG0efuQQMGDBC9Xi89e/aU48ePy+bNm6VcuXLy4YcfKnWMfezd3Nxk/fr1cu7cObly5YpcvnxZZs2aJXFxcZKUlCRffvmlmJqayr59+wqNp3PnzlKjRo1Ct+d72LGuXbtWbG1t5eeff5YLFy7I/v37ZdGiRcr+YWFh8vPPP0tSUpLExsZK48aNpX379oX2FxISIgBUy/EJHnLho9oFLkT/FS90gmBqairW1tYGi6WlpUGC0KdPH2nTpo3BvmPGjBFPT09l3dXVVfr27ausp6SkCAAJDg5WyvJfvFJSUkTknxfst99+26Dd3bt3i4mJidy9e/ex2y1IWlqaWFlZSXx8vIiIxMXFiZWVlaSlpSl1QkJCxNzcXK5du1bkebt27ZoAkGPHjonI/14kvv32W6XOiRMnBIAkJCSIyD8JAgA5e/asUufrr78WBweHQvvJyckRGxsb2bRpk1I2fvx46devX5Hxffjhh2JmZiZlypSRdu3aycyZM+Xq1avK9uDgYGnbtq3BPpcuXRIAkpiYKCL/JAjNmjUziMXa2tqg7/zHIjY2ttBYfvnlF9FoNJKUlCQiInl5eeLm5iYTJkwQEZGmTZvKW2+9ZbBP9+7dpUOHDsr6/QlC/rmOi4sr8hwUdO4eNGDAAClTpoxBgrNgwQLR6/VKAvCgwh77uXPnFhmPiEiHDh1k9OjRhW738PCQzp07P7SdBz14rLNnz5bq1atLVlaWUfvnJ11///13gdvv3bsnaWlpypJ/rTBBoBfBC32Lwc/PD/Hx8QbLt99+a1AnISEBvr6+BmW+vr44c+YMcnNzlTJvb2/l//n3lr28vFRl+cOZhw8fRkREBPR6vbL4+/sjLy8PycnJj91uQVasWIEqVaqgTp06AAAfHx9UqVIFq1atMqjn6uqKcuXKGZQlJSWhT58+qFKlCmxtbZVh7osXLxrUuz9OJycnVUxWVlaoWrWqQZ37t1+7dg2DBw9G9erVYWdnBzs7O2RkZBj0M336dHz//feFHicATJs2DVevXsXChQvh6emJhQsXombNmjh27BiAf857VFSUwXmvWbOmcqwFHY+pqSns7e0f+by3bdsWlSpVQnh4OABg586dOH/+PN544w0AhV9bCQkJRR7jg4w5dwWpU6cOrKyslPUmTZogIyMDly5dAmD8Y1+/fn2D9dzcXEybNg3e3t6wt7eHXq/Htm3bioxHRKDRaJ74WLt37467d++iSpUqeOutt7Bhwwbk5OQo+8fFxSEgIACurq6wsbFRbtMUFptWq4Wtra3BQvSiMCvpAEqStbU13N3dDcouX75ssF7QE5eIqNoyNzdX/p9fv6CyvLw85d933nnH4P5ovvvvlz9quwVZsmQJTpw4ATOz/z3ceXl5CAsLw9tvv62UWVtbq/bt1KkTnJ2dsXjxYlSoUAF5eXmoXbu2wb1qY2K6f3t+nfvPY1BQEK5fv465c+fC1dUVWq0WTZo0UfVjDHt7e3Tv3h3du3fH9OnTUbduXXz22Wf47rvvkJeXh06dOuHTTz9V7Zef2BQW76OedxMTEwQFBSEiIgIfffQRwsPD0bx5c1SrVk3VTj5jXyjvV5zn7v6YjH3sH7xuZs+ejTlz5mDu3Lnw8vKCtbU1Ro4cWWQ81atXNyoxetixOjs7IzExEb/++iu2b9+OIUOGYNasWdi1axeysrLQtm1btG3bFsuWLUO5cuVw8eJF+Pv7P/a5Ivove6ETBGN4enpiz549BmUxMTGoXr06TE1NH7vdevXq4cSJE6oEpbgdO3YMhw4dQnR0NMqUKaOU37p1C82bN8fx48dRu3btAve9ceMGEhIS8M033+Dll18GANW5KC67d+/G/Pnz0aFDBwDApUuXiuWjiRYWFqhataoy+bNevXpYv3493NzcDBKmp+WNN97A1KlTERkZicjISCxcuFDZ5uHhgT179qB///5KWUxMDDw8PApsy8LCAgAMRq6Axz93R48exd27d6HT6QAA+/btg16vR6VKlZ7osd+9ezcCAgLQt29fAP8kUWfOnCn0uACgT58+6NWrF3788UcEBAQYbBMRpKenw87Ozqhj1el06Ny5Mzp37oz33ntPGUESEfz111+YMWMGnJ2dAcCoCb5EL6oX+haDMUaPHo0dO3ZgypQpOH36NL777jvMmzcPH3zwwRO1O27cOMTGxuK9995DfHw8zpw5g40bN2LYsGHFFPk/wsLC0LBhQzRv3hy1a9dWlmbNmqFJkyYICwsrdN/SpUvD3t4eixYtwtmzZ7Fz506MGjWqWOPL5+7ujqVLlyIhIQH79+9HYGCg8sKVb8KECQYvpg/avHkz+vbti82bN+P06dNITEzEZ599hp9//ll50Xnvvfdw8+ZN9O7dGwcOHMC5c+ewbds2DBw4UPXCWxzyP0nx9ttvw9zcHN26dVO2jRkzBhEREVi4cCHOnDmDzz//HJGRkYVeW+XLl4dOp8OWLVvw559/Ii0tDYBx564gWVlZGDRoEE6ePIlffvkFISEhGDp0KExMTJ7osXd3d8evv/6KmJgYJCQk4J133sHVq1eL3KdHjx7o2bMnevfujenTp+PQoUO4cOECNm/ejNatWyMqKsqoY42IiEBYWBiOHz+Oc+fOYenSpdDpdHB1dYWLiwssLCzw1Vdf4dy5c9i4cSOmTJli1DERvYiYIDxEvXr1sGbNGqxatQq1a9fG5MmT8fHHHyMoKOiJ2vX29sauXbtw5swZvPzyy6hbty6Cg4MNhrmfVFZWFpYtW4auXbsWuL1r165YtmxZocOrJiYmWLVqFQ4fPozatWvj/fffx6xZs4otvvstWbIEqampqFu3Lvr164fhw4ejfPnyBnVSUlKKvI/t6ekJKysrjB49Gj4+PmjcuDHWrFmDb7/9Fv369QMAVKhQAXv37kVubi78/f1Ru3ZtjBgxAnZ2djAxeTp/DoMGDUJqaip69eplcM+/S5cu+OKLLzBr1izUqlUL33zzDcLDw5X74g8yMzPDl19+iW+++QYVKlRQkh5jzl1BXnnlFVSrVg3NmzdHjx490KlTJ4SGhgJ4ssc+ODgY9erVg7+/P1q2bAlHR8cCv5TsfhqNBitWrMDnn3+ODRs2oEWLFvD29kZoaCgCAgLg7+9v1LGWKlUKixcvhq+vL7y9vbFjxw5s2rQJ9vb2KFeuHCIiIrB27Vp4enpixowZ+Oyzz4w6JqIXkUYKuqFORP9pQUFBuHXrFr/G+RHl3+o4PsEDNpYF32J0mXzsGUdF9HRwBIGIiIhUmCAQERGRCj/FQPQCioiIKOkQiOg5xxEEIiIiUmGCQERERCpMEIiIiEiFCQIRERGpMEEgIiIiFSYIREREpMIEgYiIiFSYIBAREZEKf4uBiMhI+b/FkJaWBltb25IOh+ip4ggCERERqTBBICIiIhUmCERERKTCH2siIjJS/pSt9PT0Eo6EHpWNjQ00Gk1Jh/GvwgSBiMhIN27cAAA4OzuXcCT0qDix9NExQSAiMlKZMmUAABcvXoSdnV0JR1P80tPT4ezsjEuXLv3nXkxtbGxKOoR/HSYIRERGMjH5Z9qWnZ3df+4F9H62trb/6eMj43CSIhEREakwQSAiIiIVJghEREbSarUICQmBVqst6VCeiv/68dGj4VctExERkQpHEIiIiEiFCQIRERGpMEEgIiIiFSYIREREpMIEgYjICPPnz0flypVhaWmJl156Cbt37y7pkFSmT5+OBg0awMbGBuXLl0eXLl2QmJhoUEdEEBoaigoVKkCn06Fly5Y4ceKEQZ3MzEwMGzYMZcuWhbW1NTp37ozLly8b1ElNTUW/fv1gZ2cHOzs79OvXD7du3Xrah0jPEBMEIqKHWL16NUaOHImJEyciLi4OL7/8Mtq3b4+LFy+WdGgGdu3ahffeew/79u3Dr7/+ipycHLRt2xa3b99W6sycOROff/455s2bh4MHD8LR0RFt2rTB33//rdQZOXIkNmzYgFWrVmHPnj3IyMhAx44dkZubq9Tp06cP4uPjsWXLFmzZsgXx8fHo16/fMz1eesqEiIiK1LBhQxk8eLBBWc2aNWX8+PElFJFxrl27JgBk165dIiKSl5cnjo6OMmPGDKXOvXv3xM7OThYuXCgiIrdu3RJzc3NZtWqVUufKlStiYmIiW7ZsERGRkydPCgDZt2+fUic2NlYAyKlTp57FodEzwBEEIqIiZGVl4fDhw2jbtq1Bedu2bRETE1NCURknLS0NwP9+ZCo5ORlXr141OBatVosWLVoox3L48GFkZ2cb1KlQoQJq166t1ImNjYWdnR0aNWqk1GncuDHs7Oye+3NCxmOCQERUhL/++gu5ublwcHAwKHdwcMDVq1dLKKqHExGMGjUKzZo1Q+3atQFAibeoY7l69SosLCxQunTpIuuUL19e1Wf58uWf63NCj4a/5khEZASNRmOwLiKqsufJ0KFD8fvvv2PPnj2qbY9zLA/WKaj+835O6NFwBIGIqAhly5aFqamp6p3xtWvXVO/EnxfDhg3Dxo0bERUVhUqVKinljo6OAFDksTg6OiIrKwupqalF1vnzzz9V/V6/fv25PSf06JggEBEVwcLCAi+99BJ+/fVXg/Jff/0VTZs2LaGoCiYiGDp0KCIjI7Fz505UrlzZYHvlypXh6OhocCxZWVnYtWuXciwvvfQSzM3NDeqkpKTg+PHjSp0mTZogLS0NBw4cUOrs378faWlpz905oSdQkjMkiYj+DVatWiXm5uYSFhYmJ0+elJEjR4q1tbWcP3++pEMz8O6774qdnZ1ER0dLSkqKsty5c0epM2PGDLGzs5PIyEg5duyY9O7dW5ycnCQ9PV2pM3jwYKlUqZJs375djhw5Iq1atZI6depITk6OUqddu3bi7e0tsbGxEhsbK15eXtKxY8dnerz0dDFBICIywtdffy2urq5iYWEh9erVUz46+DwBUOASHh6u1MnLy5OQkBBxdHQUrVYrzZs3l2PHjhm0c/fuXRk6dKiUKVNGdDqddOzYUS5evGhQ58aNGxIYGCg2NjZiY2MjgYGBkpqa+gyOkp4V/twzERERqXAOAhEREakwQSAiIiIVJghERESkwgSBiIiIVJggEBERkQoTBCIiIlJhgkBEREQqTBCIiIhIhQkCEVExOH/+PDQaDeLj4wEA0dHR0Gg0uHXrFgAgIiICpUqVKrH4ClKcMTVv3hwrVqwolrYex/nz5xEaGqoqz8zMhIuLCw4fPvzsg/qXY4JARPQQQUFB0Gg0ymJvb4927drh999/V+o4OzsjJSUFtWvXfmpxPJiEPKmePXvi9OnTT9zO5s2bcfXqVfTq1Uspc3Nzg0ajwapVq1T1a9WqBY1Gg4iIiELbDA0NVc63iYkJKlSogMDAQFy6dOmRYtNqtfjggw8wbty4R9qPmCAQERmlXbt2SElJQUpKCnbs2AEzMzN07NhR2W5qagpHR0eYmZmVYJTGy87Ohk6nQ/ny5Z+4rS+//BJvvPEGTEwMX1KcnZ0RHh5uULZv3z5cvXoV1tbWD223Vq1aSElJweXLl7F69WocO3YMPXr0MKiTnJyM1157DY0bN8bMmTNRs2ZNDB482KBOYGAgdu/ejYSEhMc8whcTEwQiIiNotVo4OjrC0dERPj4+GDduHC5duoTr168DMP7d/datW+Hh4QG9Xq8kHfcLDw+Hh4cHLC0tUbNmTcyfP1/Zlv/zzXXr1oVGo0HLli2N2i8/tjVr1qBly5awtLTEsmXLVLcYkpKSEBAQAAcHB+j1ejRo0ADbt28v8nj++usvbN++HZ07d1ZtCwwMxK5duwze9S9ZsgSBgYFGJVJmZmZwdHREhQoV8PLLL+Ott97Cvn37kJ6ertTp378//vzzTyxYsABBQUH44osvYG9vb9COvb09mjZtipUrVz60T/ofJghERI8oIyMDy5cvh7u7u+rFqCh37tzBZ599hqVLl+K3337DxYsX8cEHHyjbFy9ejIkTJ2LatGlISEjAJ598guDgYHz33XcAgAMHDgAAtm/fjpSUFERGRhq1X75x48Zh+PDhSEhIgL+/f4HH1aFDB2zfvh1xcXHw9/dHp06dcPHixUKPac+ePbCysoKHh4dqm4ODA/z9/ZU47ty5g9WrV2PgwIFGn7N8V69eRWRkJExNTWFqaqqUx8XF4b333kPdunVRvnx5+Pv7Y9q0aar9GzZsiN27dz9yvy+yf8dYGBFRCdu8eTP0ej0A4Pbt23BycsLmzZtVw+pFyc7OxsKFC1G1alUAwNChQ/Hxxx8r26dMmYLZs2fj9ddfB/DPiMHJkyfxzTffYMCAAShXrhyAf94ROzo6Gr1fvpEjRyp1ClKnTh3UqVNHWZ86dSo2bNiAjRs3YujQoQXuc/78eTg4OBR6HgYOHIjRo0dj4sSJWLduHapWrQofH5+iTpPi2LFj0Ov1yMvLw927dwEAw4cPN7g94evri7lz5yIvL6/ItipWrIjz588b1S/9gyMIRERG8PPzQ3x8POLj47F//360bdsW7du3x4ULF4xuw8rKSkkOAMDJyQnXrl0DAFy/fh2XLl3CoEGDoNfrlWXq1KlISkoqtM1H2a9+/fpFxnf79m2MHTsWnp6eKFWqFPR6PU6dOlXkCMLdu3dhaWlZ6PZXX30VGRkZ+O2337BkyZJHGj2oUaMG4uPjcfDgQUybNg0+Pj6q0YHly5ejcePG+PDDDzFt2jQ0adIE69atU7Wl0+lw584do/smjiAQERnF2toa7u7uyvpLL70EOzs7LF68GFOnTjWqDXNzc4N1jUYDEQEA5R3w4sWL0ahRI4N69w+pP+hR9nvYxMAxY8Zg69at+Oyzz+Du7g6dTodu3bohKyur0H3Kli2L1NTUQrebmZmhX79+CAkJwf79+7Fhw4YiY7ifhYWFcs5r1aqFM2fO4N1338XSpUsN+v/qq68wevRozJgxA25ubujZsyd++eUXtG3bVql38+ZNZQSGjMMRBCKix5D/8bv8oe8n5eDggIoVK+LcuXNwd3c3WPInJ1pYWAAAcnNzH2k/Y+3evRtBQUF47bXX4OXlBUdHx4cOy9etWxdXr14tMkkYOHAgdu3ahYCAAJQuXfqRYrpfcHAwVq5ciSNHjhS43dHREePHj4ePj49qvsHx48dRt27dx+77RcQRBCIiI2RmZuLq1asAgNTUVMybNw8ZGRno1KlTsfURGhqK4cOHw9bWFu3bt0dmZiYOHTqE1NRUjBo1CuXLl4dOp8OWLVtQqVIlWFpaws7O7qH7Gcvd3R2RkZHo1KkTNBoNgoODH3pvv27duihXrhz27t1r8LHP+3l4eOD/2rlfF1XCKIzjz2KbwSaKSTAJImISFP8GDfoPjIJVERQEJzjRINgFi0kwGYyCQQxGs1bBYpx0b1jugvfd3y4ry34//fAe3vRwZs57Pp9lWdaH7uN/8XhcxWJRrutqsVhIkqrVqur1umzblu/7ms/n2u/36vV6V7Xr9Vqe5910/m9DQACAd1gul4pGo5KkYDCoRCKh2Wx2tWp4q1qtJsuyNBgM1G63Zdu2UqmUGo2GpMdx/Wg0Ur/fl+u6KhQKWq1Wb9a913A4lOM4yuVyCoVC6nQ6VyuFzwkEAnIcR9Pp9MWAIOlD2x6vabVayufz2m63ymazCofDchxHh8Ph6dVEz/NUKpWeajabjS6Xi8rl8pf08Fs8/Pn3AQwAgE84nU5KJpPa7XaKxWJ36eF4PGoymTz73HKlUlEmk1G32/3+xn4w/kEAANwkEoloPB6/uu1wL77vK51Oq9ls3ruVH4cJAgAAMDBBAAAABgICAAAwEBAAAICBgAAAAAwEBAAAYCAgAAAAAwEBAAAYCAgAAMBAQAAAAIa/AMxb1wCPbMoAAAAASUVORK5CYII=",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# recria Dataframe para ter categoria 'Local'\n",
"s = []\n",
"for i in range(len(df_merge)):\n",
" s.append( (df_merge['Filme'][i],df_merge['Bilheteria - US'][i],'US') )\n",
" s.append( (df_merge['Filme'][i],df_merge['Bilheteria - BR'][i],'BR') )\n",
"\n",
"f,v,p = [],[],[]\n",
"for si in s:\n",
" f.append(si[0])\n",
" v.append(si[1])\n",
" p.append(si[2])\n",
"\n",
"df_f = pd.DataFrame({'Filme':f,'Bilheteria':v,'Local':p})\n",
"\n",
"# figura\n",
"g3 = sb.catplot(data=df_f, kind=\"bar\", y='Filme', x='Bilheteria', hue='Local',orient='h')\n",
"g3.set_xlabels('Bilheteria (M R$)');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Barras empilhadas (_stacked bar plot_)\n",
"\n",
"Barras empilhadas são adequadas para visualizar quantidades que produzem um total significativo a partir de parcelas que exibem, com clareza, suas proporções para este todo. No exemplo a seguir, procuramos mostrar o peso das bilheterias dos filmes assistidos no Brasil comparado ao peso das bilheterias dos filmes assistidos nos Estados Unidos. Isto é, cada barra representa a soma, em reais, angariada por cada filme nos dois países e cada segmento as parcelas desta soma por localidade. Como se vê, a bilheteria americana é consideravelmente maior do que a brasileira em todos os filmes. Entretanto, percebemos que a ordem de preferência do público americano não se equiparou a da audiência brasileira."
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"tags": [
"remove-input"
]
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"ax = sb.histplot(df_f,\n",
" y='Filme', # use 'x' para vertical\n",
" weights='Bilheteria', # pesos\n",
" hue='Local',\n",
" multiple='stack',\n",
" #palette=['#aab1d1', '#ae24d1'], # paleta\n",
" edgecolor='white',\n",
" shrink=0.9 # fator de largura\n",
")\n",
"ax.set_xlabel('Bilheteria (M R$)');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Pontos (_dot plot_)\n",
"\n",
"O _plot_ de pontos simplifica a escala representada visualmente por gráficos de barra. A posição do ponto marca a quantidade expressa no eixo correspondente. Vimos um exemplo aplicado deste gráfico na {numref}`Seção %s `. Na representação abaixo, utilizamos a mesma fonte de dados para plotar as áreas de uma amostra de 35 municípios. A escala logarítmica permite que tenhamos uma visão ampla da extensão em quilômetros quadrados por meio de potências de 10."
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"tags": [
"remove-input"
]
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from matplotlib.pyplot import subplots\n",
"from seaborn import set_palette, lineplot\n",
"from scipy.stats import zscore\n",
"from pandas import DataFrame\n",
"import cartopy.io.shapereader as shpreader\n",
"\n",
"# recupera dados do shapefile\n",
"shp = shpreader.Reader('../data/PB_Municipios_2021/')\n",
"nmun = len(shp)\n",
"CD, NM, AREA = [], [], [] \n",
"for mun in range(nmun):\n",
" CD.append(shp._data[mun]['CD_MUN'])\n",
" NM.append(shp._data[mun]['NM_MUN'])\n",
" AREA.append(shp._data[mun]['AREA_KM2'])\n",
" \n",
"# converte dados de área para float e cálcula escore padronizado\n",
"df = DataFrame({'CD':CD,'NM':NM,'AREA':AREA})\n",
"df['AREA'] = df['AREA'].apply(lambda x: float(str(x).replace('.','')))\n",
"df = df.sort_values(by='AREA')\n",
"\n",
"# amostra de municípios\n",
"df = df[50::5] \n",
"\n",
"# paleta de cores\n",
"set_palette(\"PiYG\")\n",
"\n",
"# figura\n",
"fig, ax = subplots(1,1,figsize=(2,6),constrained_layout=False)\n",
"f = lineplot(data=df,y='NM',x='AREA',marker='o',hue='AREA',markersize=7,linewidth=0,ax=ax)\n",
"f.set(xscale='log')\n",
"\n",
"# decoração\n",
"ax.axis('tight'); \n",
"ax.grid(axis='both',which='both',alpha=0.5,); \n",
"ax.tick_params(axis='both', labelsize=6)\n",
"ax.set_xlim(7e4,1e6); \n",
"ax.set_ylim(len(df)+0.1,-0.5)\n",
"\n",
"ax.spines['bottom'].set_visible(False)\n",
"ax.spines['top'].set_visible(False)\n",
"ax.spines['left'].set_visible(False)\n",
"ax.spines['right'].set_visible(False)\n",
"\n",
"ax.get_legend().remove()\n",
"\n",
"ax.set_title('Área [km2]',fontsize=8)\n",
"ax.set_xlabel('Área',fontsize=8); \n",
"ax.set_ylabel('Município - PB',fontsize=8);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Mapas de calor (_heatmap_)\n",
"\n",
"Alternativamente às representações visuais quantitativas criadas por barras, podemos utilizar os chamados _mapas de calor_, que permite mapear valores em cores. Utilizaremos um mapa de calor para quantificar visualmente dados sobre crimes violentos.\n",
"\n",
"No _dataframe_ abaixo estão os resultados de uma pesquisa sobre Crimes Violentos Letais Intencionais (CVLI) cometidos em João Pessoa entre 2015 e 2018 (Dados disponíveis [aqui](https://repositorio.ufpb.br/jspui/bitstream/123456789/16029/1/PMS09102019.pdf)). Em particular, constam nele a prevalência dos crimes além das tipologias de armas utilizadas entre 2015 e o primeiro semestre de 2019. \n",
"\n",
"A prevalência permite compreender o quanto é comum, ou rara, uma determinada ocorrência ou situação numa população. A prevalência $p$ é dada pela equação\n",
"\n",
"$$p = \\dfrac{T}{P} \\times 1000,$$\n",
"\n",
"onde $T$ é a quantidade de casos registrados de CVLI e $P$ a população de um determinado bairro."
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"tags": [
"remove-input"
]
},
"outputs": [
{
"data": {
"text/html": [
"
\n",
"\n",
"
\n",
" \n",
"
\n",
"
\n",
"
Bairros
\n",
"
Prevalência
\n",
"
Arma de fogo
\n",
"
Arma branca
\n",
"
Outros
\n",
"
Total de casos
\n",
"
\n",
" \n",
" \n",
"
\n",
"
0
\n",
"
Varadouro
\n",
"
15.05
\n",
"
44
\n",
"
8
\n",
"
4
\n",
"
56
\n",
"
\n",
"
\n",
"
1
\n",
"
Centro
\n",
"
12.34
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"
27
\n",
"
14
\n",
"
4
\n",
"
45
\n",
"
\n",
"
\n",
"
2
\n",
"
Mandacaru
\n",
"
5.72
\n",
"
64
\n",
"
5
\n",
"
3
\n",
"
72
\n",
"
\n",
"
\n",
"
3
\n",
"
Grotão
\n",
"
5.68
\n",
"
31
\n",
"
4
\n",
"
0
\n",
"
35
\n",
"
\n",
"
\n",
"
4
\n",
"
Bairro das Indústrias
\n",
"
5.51
\n",
"
46
\n",
"
2
\n",
"
0
\n",
"
48
\n",
"
\n",
"
\n",
"
5
\n",
"
Costa do Sol
\n",
"
4.44
\n",
"
26
\n",
"
6
\n",
"
5
\n",
"
37
\n",
"
\n",
"
\n",
"
6
\n",
"
Distrito Industrial
\n",
"
4.24
\n",
"
5
\n",
"
3
\n",
"
0
\n",
"
8
\n",
"
\n",
"
\n",
"
7
\n",
"
Penha
\n",
"
3.89
\n",
"
3
\n",
"
0
\n",
"
1
\n",
"
3
\n",
"
\n",
"
\n",
"
8
\n",
"
Ilha do Bispo
\n",
"
3.63
\n",
"
26
\n",
"
1
\n",
"
2
\n",
"
29
\n",
"
\n",
"
\n",
"
9
\n",
"
Costa e Silva
\n",
"
3.53
\n",
"
24
\n",
"
3
\n",
"
1
\n",
"
29
\n",
"
\n",
"
\n",
"
10
\n",
"
Roger
\n",
"
3.47
\n",
"
26
\n",
"
5
\n",
"
5
\n",
"
36
\n",
"
\n",
"
\n",
"
11
\n",
"
Gramame
\n",
"
3.14
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"
70
\n",
"
8
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"
5
\n",
"
81
\n",
"
\n",
"
\n",
"
12
\n",
"
Varjão
\n",
"
3.18
\n",
"
49
\n",
"
2
\n",
"
3
\n",
"
54
\n",
"
\n",
"
\n",
"
13
\n",
"
Trincheiras
\n",
"
3.15
\n",
"
13
\n",
"
4
\n",
"
5
\n",
"
22
\n",
"
\n",
"
\n",
"
14
\n",
"
Padre Zé
\n",
"
2.02
\n",
"
20
\n",
"
0
\n",
"
1
\n",
"
21
\n",
"
\n",
"
\n",
"
15
\n",
"
Mangabeira
\n",
"
1.65
\n",
"
109
\n",
"
15
\n",
"
2
\n",
"
126
\n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" Bairros Prevalência Arma de fogo Arma branca Outros \\\n",
"0 Varadouro 15.05 44 8 4 \n",
"1 Centro 12.34 27 14 4 \n",
"2 Mandacaru 5.72 64 5 3 \n",
"3 Grotão 5.68 31 4 0 \n",
"4 Bairro das Indústrias 5.51 46 2 0 \n",
"5 Costa do Sol 4.44 26 6 5 \n",
"6 Distrito Industrial 4.24 5 3 0 \n",
"7 Penha 3.89 3 0 1 \n",
"8 Ilha do Bispo 3.63 26 1 2 \n",
"9 Costa e Silva 3.53 24 3 1 \n",
"10 Roger 3.47 26 5 5 \n",
"11 Gramame 3.14 70 8 5 \n",
"12 Varjão 3.18 49 2 3 \n",
"13 Trincheiras 3.15 13 4 5 \n",
"14 Padre Zé 2.02 20 0 1 \n",
"15 Mangabeira 1.65 109 15 2 \n",
"\n",
" Total de casos \n",
"0 56 \n",
"1 45 \n",
"2 72 \n",
"3 35 \n",
"4 48 \n",
"5 37 \n",
"6 8 \n",
"7 3 \n",
"8 29 \n",
"9 29 \n",
"10 36 \n",
"11 81 \n",
"12 54 \n",
"13 22 \n",
"14 21 \n",
"15 126 "
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# dados do crime\n",
"dfc = pd.read_csv('../data/crimes-pb-2015-2018.csv'); \n",
"dfc"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Manipulando os _dataframe_, conseguimos gerar dois mapas de calor de coluna única, visto que os dados temporais originais agregam os registros entre 2015 e 2018. O primeiro mapa gera uma escala de cor sequencial para a prevalência, ao passo que o segundo mapa faz o mesmo para a quantidade de crimes realizados com arma de fogo. \n",
"\n",
"A partir do que vemos, é imediata a identificação dos bairros de maior/menor prevalência e de crimes com porte de arma de fogo."
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"tags": [
"remove-input"
]
},
"outputs": [
{
"data": {
"text/html": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from pandas import pivot_table\n",
"from seaborn import heatmap,color_palette\n",
"from matplotlib.pyplot import subplots\n",
"\n",
"\n",
"dfp = pivot_table(dfc, index='Bairros', columns='Ano', values='Prevalência')\n",
"dfp = dfp.sort_values('2015-2018',ascending=False)\n",
"\n",
"dfaf = pivot_table(dfc, index='Bairros', columns='Ano', values='Arma de fogo')\n",
"dfaf = dfaf.sort_values('2015-2018',ascending=False)\n",
"\n",
"fig,ax = subplots(1,2,figsize=(8,4),constrained_layout=True)\n",
"fig.suptitle('Mapa de calor de crimes violentos em João Pessoa')\n",
"\n",
"\n",
"crime_p = heatmap(data=dfp,cmap=color_palette(\"YlOrRd\"),annot=True,ax=ax[0])\n",
"crime_p.set_title('Prevalência',fontsize=10)\n",
"crime_p.set_yticklabels(crime_p.get_yticklabels(), fontsize = 8)\n",
"crime_p.set_xlim(0,1)\n",
"\n",
"crime_af = heatmap(data=dfaf,cmap=color_palette(\"Oranges\"),annot=True,fmt='d',ax=ax[1])\n",
"crime_af.set_title('Arma de fogo',fontsize=10)\n",
"crime_af.set_ylabel('')\n",
"crime_af.set_yticklabels(crime_af.get_yticklabels(), fontsize = 8);\n",
"crime_af.set_xlim(0,1);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## _Plots_ para visualizar distribuições\n",
"\n",
"A estatística descritiva é limitada para resumir dados, visto que dados com características completamente distintas podem ter os mesmos valores para média, mediana e variância, por exemplo. Uma forma aprofundada de reconhecer as características dos dados é inspecionar a sua _distribuição_. No grupo das distribuições, consideraremos os seguintes _plots_:\n",
"\n",
"- **histogramas**, com intervalo de classes uniforme;\n",
"- **densidades**, incluindo _densidade simples_;\n",
"- **cumulativos**, incluindo _densidade cumulativa empírica_;\n",
"- **quantis**, abrangendo o quantil-quantil (QQ-plot);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"A fim de criar as primeiras representações visuais para este grupo, usaremos dados estatísticos reais concernentes a ànalise de um processo de moldagem em uma linha de produção de uma indústria química do Rio Grande do Sul. O propósito da análise era investigar inconsistências do processo. A tabela a seguir registra massas de amostras extraídas de duas matrizes (2 e 7) ao longo de três dias a cada 30 minutos no período compreendido entre 07:00h e 13:00h ({cite:p}`saldanha2013analisando`)."
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"tags": [
"remove-input"
]
},
"outputs": [
{
"data": {
"text/html": [
"
\n",
"\n",
"
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" \n",
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Horário
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Peso (g)
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Dia
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Matriz
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" \n",
" \n",
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0
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07:00
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39.2
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1
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2
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1
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07:30
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39.4
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1
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2
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2
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08:00
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39.7
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1
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2
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"
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3
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08:30
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39.2
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1
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2
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4
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09:00
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39.6
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1
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2
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"
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...
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...
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73
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11:00
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39.8
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3
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7
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74
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11:30
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40.2
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3
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7
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75
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12:00
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40.3
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3
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7
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"
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"
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76
\n",
"
12:30
\n",
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39.9
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"
3
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7
\n",
"
\n",
"
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77
\n",
"
13:00
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40.4
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3
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7
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" \n",
"
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"
78 rows × 4 columns
\n",
"
"
],
"text/plain": [
" Horário Peso (g) Dia Matriz\n",
"0 07:00 39.2 1 2\n",
"1 07:30 39.4 1 2\n",
"2 08:00 39.7 1 2\n",
"3 08:30 39.2 1 2\n",
"4 09:00 39.6 1 2\n",
".. ... ... ... ...\n",
"73 11:00 39.8 3 7\n",
"74 11:30 40.2 3 7\n",
"75 12:00 40.3 3 7\n",
"76 12:30 39.9 3 7\n",
"77 13:00 40.4 3 7\n",
"\n",
"[78 rows x 4 columns]"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from IPython.display import display, Markdown\n",
"\n",
"# leitura\n",
"df_mq = pd.read_csv('../data/matriz-quimica.csv')\n",
"df_mq\n",
"# display\n",
"#display(Markdown(df_mq.to_markdown(index=False)))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Histograma\n",
"\n",
"O histograma é a representação visual mais comumemente empregada para retratar distribuições. O gráfico é composto de retângulos preenchidos cujas alturas correspondem às frequências de observação de determinados valores que compreendem um _intervalo de classe_. \n",
"\n",
"Na figura a seguir plotamos histogramas para as massas dos produtos processados em cada uma das matrizes. Por brevidade, consideramos no histograma todos os valores registrados ao longo dos 3 dias. Observamos que há _lacunas_ nos histogramas pela ausência de massas reportadas nas respectivas massas."
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"tags": [
"remove-input"
]
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from seaborn import histplot\n",
"from matplotlib.pyplot import subplots\n",
"\n",
"df_mq2 = df_mq[df_mq['Matriz'] == 2]\n",
"df_mq7 = df_mq[df_mq['Matriz'] == 7]\n",
"\n",
"fig,ax = subplots(1,2,figsize=(8,2),constrained_layout=True,sharey=True)\n",
"fig.suptitle('Amostragem: Dias 1 a 3')\n",
"ax[0].set_ylabel('contagem')\n",
"ax[0].set_title('Matriz 2',fontsize=9)\n",
"ax[1].set_title('Matriz 7',fontsize=9)\n",
"\n",
"hq_2 = histplot(data=df_mq2,x='Peso (g)',stat='count',binwidth=0.1,ax=ax[0],color='#ff8800')\n",
"hq_7 = histplot(data=df_mq7,x='Peso (g)',stat='count',binwidth=0.1,ax=ax[1])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Densidade simples\n",
"\n",
"_Plots_ de densidade simples são versões contínuas dos histogramas e vem ganhando popularidade devido à facilitação de sua construção por ferramentas computacionais modernas. Nesses gráficos, a frequência das quantidades é representada por uma curva suave que, na verdade, é uma aproximação da distribuição de probabilidade fundamental que explica o comportamento real – a qual é **desconhecida**. Tem sido frequente a estimativa da curva de densidade pela técnica dos estimadores de núcleo (_kernel density estimator_, ou simplesmente, _KDE_). \n",
"\n",
"A metodologia do KDE recompõe a curva contínua através da mistura (combinação) de várias funções conhecidas como \"núcleos\" (_kernels_) que são abertos em torno de cada ponto amostrado dentro de uma _largura de banda_ predefinida. Há diversos tipos de _kernel_ possíveis de se trabalhar, tais como _exponencial_, _linear_, _epanechnikov_ e o mais popular de todos, o _gaussiano_.\n",
"\n",
"Abaixo, fazemos plotagens da densidade de distribuição para cada matriz da indústria. O último _plot_ contém as duas distribuições. Vê-se que a curva \"imita\" o comportamento já visualizado no gráfico. "
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"tags": [
"remove-input"
]
},
"outputs": [
{
"data": {
"image/png": 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",
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]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig,ax = subplots(1,2,figsize=(8,2),constrained_layout=True,sharey=True)\n",
"fig.suptitle('Amostragem: Dias 1 a 3')\n",
"ax[0].set_ylabel('probabilidade')\n",
"ax[0].set_title('Matriz 2',fontsize=9)\n",
"ax[1].set_title('Matriz 7',fontsize=9)\n",
"\n",
"hq_2 = histplot(data=df_mq2,x='Peso (g)',kde=True,stat='probability',binwidth=0.1,ax=ax[0],color='#ff8800')\n",
"hq_7 = histplot(data=df_mq7,x='Peso (g)',kde=True,stat='probability',binwidth=0.1,ax=ax[1])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Densidade cumulativa\n",
"\n",
"Histogramas e _plots de densidade_ possuem o revés de dependerem de parâmetros que são escolhidos pelo usuário, tais como o número de intervalos de classe (_bins_, ou _bin widths_) e a largura de banda. Pelo fato de que eles podem ser livremente alterados, esses gráficos tornam-se mais uma interpretação dos dados do que uma visualização direta deles. A desvantagem é que eles são menos intuitivos.\n",
"\n",
"Opostamente, _plots_ de densidade simplesmente mostram os dados de uma só vez, sem uso de parâmetros.\n",
"Para entender minimamente o conceito de _densidade cumulativa_, ou também de _densidade cumulativa empírica_ (representada pelo acrônimo ECDF), usaremos um rol de dados que contém a nota auferida por estudantes de uma classe de Engenharia formada por 60 pessoas na primeira avaliação. A tabela pode ser encontrada a seguir."
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {
"tags": [
"remove-input"
]
},
"outputs": [
{
"data": {
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Estudante
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Nota
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0
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1
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4.7
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1
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2
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6.9
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2
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3
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7.1
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3
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4
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7.0
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4
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5
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5.2
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5
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6
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7.8
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6
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7
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7.2
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7
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8
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5.2
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8
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9
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6.6
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9
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10
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4.1
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10
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11
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8.1
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11
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12
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6.4
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12
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13
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8.1
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13
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14
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7.8
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14
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15
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5.6
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15
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16
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7.1
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16
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17
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3.4
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17
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18
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7.2
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18
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19
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6.9
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19
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20
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7.0
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20
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21
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6.4
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21
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22
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2.7
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22
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23
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3.5
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23
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24
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4.5
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24
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25
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7.3
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25
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26
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7.2
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26
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27
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7.6
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27
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28
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8.4
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28
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29
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8.0
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29
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30
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7.9
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30
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31
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7.2
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31
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32
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7.7
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32
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33
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7.0
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33
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34
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9.1
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34
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35
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9.0
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35
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36
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8.4
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36
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37
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8.1
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37
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38
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7.2
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38
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39
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6.7
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39
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40
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8.0
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40
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41
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5.2
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41
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42
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6.3
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42
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43
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7.4
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43
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44
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4.5
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44
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45
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7.9
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45
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46
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7.9
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46
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47
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2.1
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47
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48
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7.1
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48
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49
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8.2
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49
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50
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9.8
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50
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51
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10.0
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51
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52
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8.3
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52
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53
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7.2
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53
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54
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4.1
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54
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55
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8.3
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55
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56
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7.0
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56
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57
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7.3
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57
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58
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6.4
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58
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59
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7.3
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59
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60
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9.5
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"
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" \n",
"
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"
"
],
"text/plain": [
" Estudante Nota\n",
"0 1 4.7\n",
"1 2 6.9\n",
"2 3 7.1\n",
"3 4 7.0\n",
"4 5 5.2\n",
"5 6 7.8\n",
"6 7 7.2\n",
"7 8 5.2\n",
"8 9 6.6\n",
"9 10 4.1\n",
"10 11 8.1\n",
"11 12 6.4\n",
"12 13 8.1\n",
"13 14 7.8\n",
"14 15 5.6\n",
"15 16 7.1\n",
"16 17 3.4\n",
"17 18 7.2\n",
"18 19 6.9\n",
"19 20 7.0\n",
"20 21 6.4\n",
"21 22 2.7\n",
"22 23 3.5\n",
"23 24 4.5\n",
"24 25 7.3\n",
"25 26 7.2\n",
"26 27 7.6\n",
"27 28 8.4\n",
"28 29 8.0\n",
"29 30 7.9\n",
"30 31 7.2\n",
"31 32 7.7\n",
"32 33 7.0\n",
"33 34 9.1\n",
"34 35 9.0\n",
"35 36 8.4\n",
"36 37 8.1\n",
"37 38 7.2\n",
"38 39 6.7\n",
"39 40 8.0\n",
"40 41 5.2\n",
"41 42 6.3\n",
"42 43 7.4\n",
"43 44 4.5\n",
"44 45 7.9\n",
"45 46 7.9\n",
"46 47 2.1\n",
"47 48 7.1\n",
"48 49 8.2\n",
"49 50 9.8\n",
"50 51 10.0\n",
"51 52 8.3\n",
"52 53 7.2\n",
"53 54 4.1\n",
"54 55 8.3\n",
"55 56 7.0\n",
"56 57 7.3\n",
"57 58 6.4\n",
"58 59 7.3\n",
"59 60 9.5"
]
},
"execution_count": 18,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df_est = pd.read_csv('../data/estudantes-notas.csv')\n",
"\n",
"df_est\n",
"# display\n",
"#display(Markdown(df_est.to_markdown(index=False)))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"A distribuição cumulativa é uma representação visual que fornece dois caminhos de compreensão para os dados quantitativos em análise. \n",
"\n",
"Em primeiro lugar, sob o ponto de vista de contagem. Neste caso particular, a nota de cada estudante é disposta no eixo horizontal, enquanto que no eixo vertical consta um \"ranqueamento ascendente\" de estudantes. A curva cresce cumulativamente daquele(a) estudante que possui a nota mais baixa (ranqueamento 1) até o(a) estudante que possui a maior nota (ranqueamento 60).\n",
"\n",
"Em segundo lugar, sob o ponto de vista de proporção. Neste caso particular, a nota de cada estudante é disposta no eixo horizontal, enquanto que no eixo vertical consta a proporção de estudantes que atingiram determinada nota. A curva é idêntica, mas podemos verificar rapidamente o ranqueamento por percentuais. Por exemplo, o gráfico mostra que em torno de 25% da turma conseguiu nota, no máximo de 6,0."
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"tags": [
"remove-input"
]
},
"outputs": [
{
"data": {
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",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from seaborn import ecdfplot\n",
"\n",
"\n",
"fig,ax = subplots(1,2,figsize=(8,3),constrained_layout=True)\n",
"fig.suptitle('Distribuição cumulativa de notas da turma',fontsize=10)\n",
"ax[0].set_ylabel('ranqueamento (ascendente)',fontsize=9)\n",
"ax[0].set_title('ECDF por contagem',fontsize=9)\n",
"\n",
"ax[1].set_ylabel('ranqueamento normalizado',fontsize=9)\n",
"ax[1].grid(axis='y')\n",
"ax[1].set_title('ECDF por proporção',fontsize=9)\n",
"fe1 = ecdfplot(data=df_est,x='Nota',stat='count',ax=ax[0])\n",
"fe2 = ecdfplot(data=df_est,x='Nota',stat='proportion',ax=ax[1])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Quantis\n",
"\n",
"Quantis são uma espécie de \"ranqueamento\" dos dados. Quando divididos em frações de 100, são chamados de percentis. Um jogador de futebol avaliado estatisticamete com percentil de 86%, por exemplo, indicaria que ele está entre os 14% melhores jogadores de futebol. Quantis então servem para dividir os dados ordenados em subconjuntos. \n",
"\n",
"O _plot_ chamado de quantil-quantil, ou QQ _plot_, é bastante utilizado para testar se os dados observados seguem uma determinada distribuição teórica. Quando a distribuição teórica é a _normal_, chamamos o gráfico de _plot de probabilidades normal_ (veja também similaridades com o _plot de probabilidades_, PP-_plot_).\n",
"\n",
"Um QQ-_plot_ é um plot de pontos. Geralmente, coloca-se uma reta de referência. Quando os pontos desviam-se desta reta, os dados observados supostamente seguem uma distribuição que não coincide com a teórica. Em geral, é quase impossível atingir tal coincidência. \n",
"\n",
"Para QQ-plots, deveremos instalar o módulo `seaborn-qqplot` utilizando `pip` para acessar a função `pplot`. Este módulo é uma extensão do `seaborn`.\n",
"\n",
"Feitos esses passos, conseguimos gerar o seguinte gráfico de teste."
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {
"tags": [
"remove-input"
]
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from seaborn_qqplot import pplot\n",
"from numpy import random\n",
"\n",
"random.seed(10)\n",
"dnormal = random.normal(df_est['Nota'].mean(),df_est['Nota'].std(ddof=1),len(df_est))\n",
"df_est['Nota teórica'] = dnormal\n",
"\n",
"qq = pplot(data=df_est, x='Nota teórica',y='Nota',\n",
" kind='qq',\n",
" height=3, \n",
" aspect=1.5,\n",
" display_kws={\"identity\":True})"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## _Plots_ para visualizar proporções\n",
"\n",
"A visualização de proporções deve levar em conta projetos gráficos que sejam capazes de mostrar como algum grupo, entitade ou quantidade pode ser \"quebrada\" em partes menores, assim constituindo uma proporção do todo. Classicamente, o gráfico de \"torta\" (_pie chart_) é o mais tradicionalmente aplicado quando o interesse é visualizar proporções. Entretanto, muitos profissionais criticam seu uso exagerado. \n",
"\n",
"Torna-se complicado interpretar gráficos de torta quando ele possui \"fatias\" excessivas. Por outro lado, quando ele é dividido em poucas partes, seu uso é recomendado. A polêmica em torno deste gráfico não é puramente nociva. Ela apenas ressalta a inexistência de representações \"ótimas\" para proporções. De fato, neste grupo de plotagem, não faremos uma separação explícita sobre os estilos, mas consideraremos uma miscelânea de _plots_, tanto inspirados na estrutura de outros grupos, mas adequados para representar proporções, quanto mais genéricos, que incorporam mosaicos, árvores estruturadas (_treemap_), diagramas de Venn, _donut_, dendrogramas e raios de sol (_sunburst_)."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Barras\n",
"\n",
"Podemos visualizar proporções diretamente a partir de gráficos de barras. Usaremos dados do [SIVIBE/MAPA](https://mapa-indicadores.agricultura.gov.br/publico/extensions/SIVIBE/SIVIBE.html) sobre vinhos e bebidas para exemplos. (Nota: para operacionalizar planilhas do Excel, poderá ser necessária a instalação do módulo `openpyxl`).\n",
"\n",
"Abaixo fazemos "
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {
"tags": [
"remove-input"
]
},
"outputs": [
{
"data": {
"text/html": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"labels = df_parr_grp.index.to_list()\n",
"sizes = df_parr_grp['Área Parreiral (calc) ha']/df_parr_grp['Área Parreiral (calc) ha'].max()*100\n",
"\n",
"fig,ax = subplots(1,1,figsize=(4,4),constrained_layout=True)\n",
"explode = (0,0,0,0)\n",
"ax.pie(sizes,explode=explode,labels=labels,autopct='%.2f%%',startangle=90)\n",
"ax.axis('equal')\n",
"ax.set_title('Produção por classificação');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Diagrama de Venn"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Vamos fazer um comparativo de um grupo de artistas que apenas cantam, apenas atuam ou cantam e atuam. A tabela está disposta a seguir:"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {
"tags": [
"remove-input"
]
},
"outputs": [
{
"data": {
"text/html": [
"
\n",
"\n",
"
\n",
" \n",
"
\n",
"
\n",
"
Artista
\n",
"
Canta
\n",
"
Atua
\n",
"
\n",
" \n",
" \n",
"
\n",
"
0
\n",
"
Marisa Orth
\n",
"
sim
\n",
"
sim
\n",
"
\n",
"
\n",
"
1
\n",
"
Preta Gil
\n",
"
sim
\n",
"
sim
\n",
"
\n",
"
\n",
"
2
\n",
"
Clarice Falcão
\n",
"
sim
\n",
"
sim
\n",
"
\n",
"
\n",
"
3
\n",
"
Mariana Rios
\n",
"
sim
\n",
"
sim
\n",
"
\n",
"
\n",
"
4
\n",
"
Marjorie Estiano
\n",
"
sim
\n",
"
sim
\n",
"
\n",
"
\n",
"
5
\n",
"
Alexandre Nero
\n",
"
sim
\n",
"
sim
\n",
"
\n",
"
\n",
"
6
\n",
"
Chay Suede
\n",
"
sim
\n",
"
sim
\n",
"
\n",
"
\n",
"
7
\n",
"
Fiuk
\n",
"
sim
\n",
"
sim
\n",
"
\n",
"
\n",
"
8
\n",
"
Fábio Jr.
\n",
"
sim
\n",
"
sim
\n",
"
\n",
"
\n",
"
9
\n",
"
Evandro Mesquita
\n",
"
sim
\n",
"
sim
\n",
"
\n",
"
\n",
"
10
\n",
"
Seu Jorge
\n",
"
sim
\n",
"
sim
\n",
"
\n",
"
\n",
"
11
\n",
"
Djavan
\n",
"
sim
\n",
"
não
\n",
"
\n",
"
\n",
"
12
\n",
"
Lenine
\n",
"
sim
\n",
"
não
\n",
"
\n",
"
\n",
"
13
\n",
"
Wesley Safadão
\n",
"
sim
\n",
"
não
\n",
"
\n",
"
\n",
"
14
\n",
"
Ana Carolina
\n",
"
sim
\n",
"
não
\n",
"
\n",
"
\n",
"
15
\n",
"
Marisa Monte
\n",
"
sim
\n",
"
não
\n",
"
\n",
"
\n",
"
16
\n",
"
Milton Nascimento
\n",
"
sim
\n",
"
não
\n",
"
\n",
"
\n",
"
17
\n",
"
Bruno Gagliasso
\n",
"
não
\n",
"
sim
\n",
"
\n",
"
\n",
"
18
\n",
"
Osmar Prado
\n",
"
não
\n",
"
sim
\n",
"
\n",
"
\n",
"
19
\n",
"
Luana Piovani
\n",
"
não
\n",
"
sim
\n",
"
\n",
"
\n",
"
20
\n",
"
Caio Blat
\n",
"
não
\n",
"
sim
\n",
"
\n",
"
\n",
"
21
\n",
"
Caio Castro
\n",
"
não
\n",
"
sim
\n",
"
\n",
"
\n",
"
22
\n",
"
Rodrigo Lombardi
\n",
"
não
\n",
"
sim
\n",
"
\n",
"
\n",
"
23
\n",
"
Fernanda Montenegro
\n",
"
não
\n",
"
sim
\n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" Artista Canta Atua\n",
"0 Marisa Orth sim sim\n",
"1 Preta Gil sim sim\n",
"2 Clarice Falcão sim sim\n",
"3 Mariana Rios sim sim\n",
"4 Marjorie Estiano sim sim\n",
"5 Alexandre Nero sim sim\n",
"6 Chay Suede sim sim\n",
"7 Fiuk sim sim\n",
"8 Fábio Jr. sim sim\n",
"9 Evandro Mesquita sim sim\n",
"10 Seu Jorge sim sim\n",
"11 Djavan sim não\n",
"12 Lenine sim não\n",
"13 Wesley Safadão sim não\n",
"14 Ana Carolina sim não\n",
"15 Marisa Monte sim não\n",
"16 Milton Nascimento sim não\n",
"17 Bruno Gagliasso não sim\n",
"18 Osmar Prado não sim\n",
"19 Luana Piovani não sim\n",
"20 Caio Blat não sim\n",
"21 Caio Castro não sim\n",
"22 Rodrigo Lombardi não sim\n",
"23 Fernanda Montenegro não sim"
]
},
"execution_count": 24,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from matplotlib.pyplot import subplots\n",
"from matplotlib_venn import venn2\n",
"\n",
"df_arts = pd.read_csv('../data/cantores-atores.csv')\n",
"df_arts"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Para plotar diagramas de Venn, é necessário instalar o módulo `matplotlib_venn` (use `pip`). Na representação simples abaixo, temos os conjuntos variando o diâmetro em função da cardinalidade de seus elementos."
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {
"tags": [
"remove-input"
]
},
"outputs": [
{
"data": {
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",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sn = df_arts[(df_arts['Canta'] == 'sim') & (df_arts['Atua'] == 'não')]\n",
"ss = df_arts[(df_arts['Canta'] == 'sim') & (df_arts['Atua'] == 'sim')]\n",
"ns = df_arts[(df_arts['Canta'] == 'não') & (df_arts['Atua'] == 'sim')]\n",
"\n",
"venn2(subsets=(len(sn),len(ss),len(ns)),\n",
" set_labels=('Apenas canta','Apenas atua'));"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Árvore estruturada\n",
"\n",
"O diagrama de árvore estruturada (_treemap_) permite seccionar um todo em áreas representativas, como mostramos na apresentação deste curso. O _treemap_ abaixo exibe o conteúdo deste curso em termos de quadros de tamanhos que variam em função da carga horária aproximada dos módulos e avaliações. "
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {
"tags": [
"remove-input"
]
},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"\n",
"
\n",
"
\n",
"\n",
""
],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import plotly.graph_objects as go\n",
"from plotly.offline import plot\n",
"from IPython.display import display, HTML\n",
"\n",
"labels = ['Visualização de Dados',\n",
" 'Módulo 1','Módulo 2','Módulo 3',\n",
" 'Conteúdo 1','Estudo de caso 1',\n",
" 'Conteúdo 2','Estudo de caso 2',\n",
" 'Conteúdo 3','Relatório Final']\n",
"\n",
"parents = [''] + \\\n",
" 3*['Visualização de Dados'] + \\\n",
" 2*['Módulo 1'] + \\\n",
" 2*['Módulo 2'] + \\\n",
" 2*['Módulo 3'] \n",
"\n",
"values = [0] + \\\n",
" [.33,.33,.33] + \\\n",
" [.9,.1,.9,.1] + \\\n",
" [.7,.3]\n",
"\n",
"f = go.Figure(go.Treemap(\n",
" labels = labels,\n",
" values = values,\n",
" parents = parents,\n",
" marker_colorscale = 'Greens'\n",
"))\n",
"\n",
"f.update_layout(margin=dict(t=50, l=25, r=25, b=25))\n",
"plot(f, show_link=False,filename='course-treemap.html')\n",
"display(HTML('course-treemap.html'))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## _Plots_ para visualizar correlações"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Correlação é qualquer associação estatística entre um par de variáveis. Quanto mais correlacionadas estão duas variáveis, mais \"alinhamento\" há entre elas. Isto é, uma análise de correlação fornece um número que resume o grau de relacionamento linear entre duas variáveis. Introduziremos este assunto com alguns conceitos fundamentais. \n",
"\n",
"Podemos interpretar a _correlação_ também pelo ponto de vista de \"dependência linear\". Duas variáveis perfeitamente correlacionadas são similares a dois vetores paralelos, ou seja, linearmente dependentes. Por outro lado, duas variáveis totalmente não correlacionadas são similares a dois vetores perpendiculares, ou seja, linearmente independentes.\n",
"\n",
"Neste grupo também não apresentaremos uma divisão enfática dos tipos de representações dada a sua variedade. Estão incluídos aqui os seguintes _plots_: \n",
"\n",
"- dispersão (_scatter plot_), bolhas (_bubble chart_), inclinação (_slopegraph_), linhas;\n",
"- contornos de densidade, classes 2D (_2D bins_), classes hexagonais (_hex bins_);\n",
"- correlograma.\n",
"\n",
"Para grandes dados, plots de dispersão tornam-se pouco informativos devido ao emaranhado de pontos. Em um cenário como este, são preferíveis os _plots_ de contornos e classes. Para mais do que duas quantidades, correlogramas são recomendados.\n",
"\n",
"Discutiremos apenas alguns exemplos."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Dispersão\n",
"\n",
"Este exemplo investiga a dispersão existente entre dois métodos que explicam o [crescimento fetal em função da semana gestacional](https://perinatology.com/calculators/Estimation%20of%20Fetal%20Weight%20and%20Age.htm). O gráfico à esquerda mostra a curva de Hadlock e de Duryea, ambas para o percentil 10. À direita, plotamos o gráfico de dispersão entre ambas as curvas para saber como elas se correlacionam. A existência de uma \"barriga\" abaixo da linha pontilhada mostra que elas, de fato, são diferentes, embora possuam uma tendência equivalente. Caso todos os pontos verdes estivessem sobre a reta tracejada, diríamos que elas seriam idênticas. Ou seja, a dispersão é baixa."
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {
"tags": [
"remove-input"
]
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from matplotlib import style\n",
"from matplotlib.pyplot import plot, subplots\n",
"from pandas import read_csv\n",
"\n",
"df = read_csv('../data/gestacional-peso.csv')\n",
"X = df['week']\n",
"Y1 = df['hadlock-10th']\n",
"Y2 = df['duryea-10th']\n",
"\n",
"fig,ax = subplots(1,2,figsize=(6,3),sharey=True,constrained_layout=True)\n",
"fig.suptitle('Correlações EFW')\n",
"\n",
"ax[0].grid()\n",
"ax[0].plot(X,Y1,'-',c='#8EB353',label='Hadlock-10th')\n",
"ax[0].plot(X,Y2,'-',c='#BFDF53',label='Duryea-10th')\n",
"ax[0].set_xlabel('Semana gestacional')\n",
"ax[0].set_ylabel('Peso (g)')\n",
"ax[0].legend()\n",
"\n",
"ax[1].grid()\n",
"ax[1].plot(Y1,Y1,'--',c='k',alpha=0.5)\n",
"ax[1].plot(Y1,Y2,'o',c='#117029')\n",
"ax[1].axis('equal')\n",
"ax[1].set_xlabel('Hadlock - 10th')\n",
"ax[1].set_ylabel('Duryea - 10th');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## _Plots_ para visualizar dados geoespaciais\n",
"\n",
"Dados geoespaciais são melhor dispostos através de mapas que projetam coordenadas do globo terrestre em superfícies planas. Geralmente, os mapas seguem o formato e as fronteiras de territórios. Neste grupo encontram-se:\n",
"\n",
"- coropletas, ou mapas coropléticos (_choropleth_), que colorem regiões do mapa para realizar associações com quantidades ou categorias.\n",
"- cartogramas, que se constituem em representações distorcidas ou simplificadas das regiões. Por exemplo, associar estados da federação a formas retangulares menores arranjadas sobre uma forma poligonal maior próxima ao formato do Brasil."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"O exemplo a seguir é uma coropleta para a população brasileira segundo dados do IBGE para o Censo 2022. Os valores são exibidos na tabela."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"tags": [
"remove-input"
]
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/Users/gustavo/opt/anaconda3/envs/dataviz/lib/python3.9/site-packages/geopandas/plotting.py:48: ShapelyDeprecationWarning: The 'type' attribute is deprecated, and will be removed in the future. You can use the 'geom_type' attribute instead.\n",
" if geom is not None and geom.type.startswith(prefix) and not geom.is_empty:\n"
]
},
{
"data": {
"image/png": 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qd42efT0Dc3p+0bq6uvocd+Kb7EDeffdd2tvbefvtt0lOTu7d3zNdokdPrCc+sR6vubmZDz/8kFWrVvHb3/62d39XVxcNDQ19jg0PD6eysrLfNSoqKgB6+7aH4sjPpsdAT11r167l6quv5uGHH+6zv66ujpCQkN6vVSoVt99+O7fffjtNTU18+eWX3HPPPZx55pmUlpb2SxyDiYiIQJIkvvnmmz7jEnoMtO9EA30fb7zxBmq1mg8//LDPm44jSwr2/JzvvvvuQRdM6Om7d6fGxkbOOOMMCgsL+eqrr5g6dWq/Y3r6qvPy8pg7d27v/qqqKurq6sjOzu5zfE+ifuGFF3juuee48sorB71/cXFx74Cm9evXD/uhVPC+oGCJoODBW1qGY2f053qSaAb3kiVLlgDdieJ4b731Fu3t7b2v99i3bx+7d+/us++1114jODiYmTNnAvSOGt6zZ0+f495///1h4+l58z8+UciyzL///e8+x5188skYjUbWrFkz6AhjSZKQZblf0nn22Wex2Wx99i1ZsoR169b1JuceL7/8MoGBgb0j6Ify1Vdf9T4ZQneBjTfffJOJEyc69GYrSVK/WD/66KMhC9iEhIRw8cUXc/PNN9PQ0DDs6O/j9czbLS8vZ/bs2f22EwdOOaqnAM/xlZw6Ozt55ZVXhj03LS2NyZMns3v37gFjmj17NsHBwaOKy1E9ifro0aN8/vnnzJgxY8DjzjrrLHQ6Xe9o4B49o9SPHzgmyzI33HADL7zwAv/617/6jSA/XklJCYsXL8Zms7Fu3bo+H1oF32WT7U5v/kA8WXvJ0qVLOfPMM7nrrrtoaWnhlFNO6R0NPmPGDK666qo+x8fFxXHeeedx//33Exsby9q1a/niiy949NFHe5/o5syZQ1paGnfccQdWq5XQ0FDeeecdNm3a5FA8Go2Gyy67jDvvvBOTycTTTz9NY2Njn+OCgoL4y1/+wvXXX88ZZ5zBDTfcQHR0NIcPH2b37t089dRTGAwGFi5cyJ///GciIiJISUlhw4YNPPfcc32eVAFWrVrFhx9+yGmnncZ9991HWFgYr776Kh999BGPPfYYRqNx2NgjIiI4/fTTuffee3tHg+fn5/ebvjWYc889lxdffJH09HSmTp3Kjh07+POf/9wv0a9YsYLs7Gxmz55NZGQkxcXFrF69muTk5AFX9xnMKaecws9+9jOuvfZatm/fzsKFC9Hr9VRWVrJp0yZycnL4xS9+4fD1epxzzjn89a9/5fLLL+dnP/sZ9fX1PP744w49qUP39Lfly5dz5pln8pOf/IT4+HgaGho4cOAAO3fu5L///e+IY3JUZ2cnZ555Jrm5uaxevRqr1crWrVt7X4+MjGTixIlAdzP773//e+69917CwsJYtmwZ27Zt4/777+f6668nMzOz97zbbruN5557jp/+9Kfk5OT0uaZWq+39QFBTU8Npp51GZWUlzz33HDU1NX36+BMSEsRTtuBd3hnXNrYNVhTlRJ2dnfJdd90lJycny2q1Wo6NjZV/8YtfyI2NjX2OS05Ols855xz5f//7n5yVlSVrNBo5JSWl36hbWZblgwcPysuWLZMNBoMcGRkp33rrrfJHH33k0GjwDz74QJ42bZqs0+nk+Ph4+Te/+Y38ySef9DtXlmX5448/lhctWiQrlUoZkDMzM+VHH3209/WysjJ55cqVcmhoqBwcHCyfddZZ8t69e+Xk5OTeYgY98vLy5BUrVshGo1HWaDTytGnT5BdeeGHIn10PfiiK8s9//lOeOHGirFar5fT0dPnVV1/tc9xQ/yaNjY3yddddJ0dFRcmBgYHyqaeeKn/zzTfyokWL5EWLFvUe95e//EU++eST5YiICFmj0chJSUnyddddJxcVFfW7z1CjwXs8//zz8ty5c2W9Xi8HBATIEydOlK+++mp5+/btQ57b8z0P5Pnnn5fT0tJkrVYrT5gwQX7kkUfk5557bsBZAgPZvXu3/KMf/UiOiorqLTBx+umny2vWrOn3PZ74s1y1apUMyLW1tX32X3PNNbJerx/yvoWFhQMWvujZTvydkWVZfuKJJ+QpU6b0/lusWrVKNpvNfY5JTk4e9JrH/1wHK7zRs61atWrYn53gWc3NzTIgVxUkyR0VKaPeqgqSZEBubm729rc0JEmWRR09X5eSkkJ2djYffviht0MZ0Omnn84DDzzgd+vDCoLgv1paWjAajVQUJDg9wCwurYzm5mYMBoMLI3Qt0WctjNr69ev55ptvkGWZt956y9vhCIIgjFkiWQuj9uyzz/aO3B1o/rIgCIK72WTZ6c0fiGZwQRAEwe/0NIMX58c5P886vUI0gwuCIAiC4BwxdUsQBEHwW3ZkbIy+gdjuxLmeJJK1IAiC4LfsyE4lXJGsBUEQBMHNnB0k5i8DzESftSAIgiD4OPFkLQiCIPgt+w+bM+f7A5GsBUEQBL9lc3KAmTPnepJoBhcEQRAEHyeerAVBEAS/ZZO7N2fO9wciWQuCIAh+a7z0WYtmcEEQBEHwceLJWhAEQfBbdiRsSE6d7w9EshYEQRD8ll3u3pw53x+IZnBBEARB8HHiyVoQBEHwWzYnm8GdOdeTRLIWBEEQ/JZI1oIgCILg4+yyhF12YoCZE+d6kuizFgRBEAQfJ56sBUEQBL8lmsGFcUuWZXav30fcpBjsNjt5Gw/QUNXEJXesQKEQjTGCIPgOGwpsTjQS21wYizuJZC30I0kSpfnl/GbJA332m01mLv/dRSiVSi9FJgiCMD6JxyRhQKdffio6vbbPvnee/BhJ8o8mI0EQxgf5hwFmo91kPxlgJp6shQF9+952TO1dffZNmT1RNIMLguBTRJ+1MC7VVzay7tVveO6e1/q9ljglzgsRCYIgCOIxSejjX3e8xDN3voLN2nfYRVhsKCtuOtNLUQmCIAzMJiuc3kbrkUceQZIkfvWrXw153IYNG5g1axY6nY4JEyawZs2aEd9LPFmPY7IsYzaZuefsh0nOSKCuooHtn+0e8FidXsv//vIBUUkRLLliAbEToj0cre8xd1nQaNXeDkMQxjU7EnYnnjvtjG4lj23btvHMM88wderUIY8rLCzk7LPP5oYbbmDt2rVs3ryZm266icjISFauXOnw/USyHsc+e3E9f7nunwDs2bB/yGMrDldRcbgKgFf+8F/+sv4Bsk9Jd3uMvuy3y/7I1EWZXPPApWLgnSB4iTf6rNva2rjiiiv497//zYMPPjjksWvWrCEpKYnVq1cDkJGRwfbt23n88cdHlKxFM7gPeuY3L7Ppne/ccm1Zlln3+ib+9rM1fLjms1Fdw26zM3lmqosj8y9tTe1UFdXw6oNv8eZj73k7HEEQnNTS0tJn6+rqGvTYm2++mXPOOYczzjhj2Otu2bKFZcuW9dl35plnsn37diwWi8PxiSdrH3TmT0/n/gsfo/xQFRWHK7FabSROieOS35w3ojnOjdVNvP3ExxTvL+Wk5TNZ9/o3aAM0gzZ1j8Q/bnuB2/99o9PX8Vc7vthDbWk9AC/8/nUWXTJfdA0Ighc42+9sk7ubwRMTE/vsX7VqFffff3+/49944w127tzJtm3bHLp+VVUV0dF93xuio6OxWq3U1dURGxvr0HVEsvZByRkJXHXfJTx69d+xH7cyekp2ErOWTaWzzcSudXs59aK57NtcgNlkJvvUdLQB3fOiD+cW8vsVj2C32WmsbgZgy/vbXRrjZy+sY+El85m9bJpLr+sPctfl8feb/937td1m5+COoyJZC4IXdPdZO7GQxw/nlpaWYjAYevdrtdp+x5aWlvLLX/6Szz//HJ1O5/A9Tuwmk3/4gDCS7jORrH3U6ZcvoGhfKa8/8k7vvj9c/DhhsaFUF9cSHKpn9/p9HN1TzN5N+bxR/kxvsq4qqqG+otGt8dntMnpjoFvv4Ys62008/7vXaa5r7bP/sxe/ZurCDEKjQ7wTmCAITjEYDH2S9UB27NhBTU0Ns2bN6t1ns9nYuHEjTz31FF1dXf1aP2NiYqiqquqzr6amBpVKRXh4uMPxiWTtw675w6XkLMzk33e+QmFeCRazleriWgBaG9t5/5/H+px/HP8zHl93P2knTUIb2P8Toatdeuf5pM2Z6Pb7+BKbzcaDl/6V/O8O9Xtt2ye5aHRiZLggeJrdydrgIxkNvmTJEvLy8vrsu/baa0lPT+euu+4asJty/vz5fPDBB332ff7558yePRu12vH3DJGsfZhSqWTOmdNJzojnl6f8nrryhiGPf/LmfxMcFsS+zQVui0mhkLjhsau44Nbl466a2bZPdvH9x7mDvm6z2j0YjSAI4Lo+a0cEBweTnZ3dZ59eryc8PLx3/9133015eTkvv/wyADfeeCNPPfUUt99+OzfccANbtmzhueee4/XXXx9RnCJZ+4HwuDDiJsUMm6xLDpS7PRa7XSZj3hRU6vH1q2M2mXnmzlcGfV2hkPCTqoWCILhRZWUlJSUlvV+npqby8ccf8+tf/5p//OMfxMXF8eSTT45o2haIZO0X2ps7hp0H7UntzR3eDsHj3nzsPUrzB/8wZLfLYq61IHiBHYVXiqL0WL9+fZ+vX3zxxX7HLFq0iJ07dzp1n/HVjumngsOCiEqK8HYYAKSfNIk5Z033dhgetemd7/iPA3Opv3nLPXPjBUEYnE2WnN78gUjWfsJXBi+d9uNTx9UTpCzLrP75vzB1DF4goUfND4P/BEEQXE0kaz8gSRK/e/3XaAM03g6F+efN9nYIHnVkd1G/aVqDyf16r5ujEQThRLYfRoM7s/kD/4hSYNKMVJZfv8SrMegCtcSkRnk1Bk+SZZmXVr3p8PH7vy2gqqjGjREJgnAiu6xwevMH/hGlAMDKX5/r1ftrAzXjqgn8cG4hWz/YMaJz3jiuiI0gCO4nnqwFn9NQ6d6qZMNprmul+ECZV2MYTFurieLCWlpaOl12zc9e+HrE53z12jf91gIXBEFwlkjWfqS2tJ7IhGPl6RRKBYHBAR6NYf0bmz16v+PV1rTw8P3vUHi0BlmWaW3ppKG+jYfvf4efXf0vbvrpc7zzn+/Y920BrY1tTt2rrqKBLR+MvJ66qb2Lb97a6tS9BUFwnB3nRoT7SykjMc/ajyz60cksuHgeezfl09XZvXjHJ89+xdO/ftFjMez8Ko9L7jjP4x8SzGYrb679lq+/2MeWbw6i1alpbupArVFiMR97kv3fG9/xZXUNP//Dj0jJTiJhct8VbSxmC3nf5DNzSQ6N1U1oA7X9vpfyw5U8ds1T1JTUjSrWz19az+JLTxnVuYIgjIzz86z945lVJGsn2O12vvjPdyxcMZMAvfvrcQMoFAqmLszs/TohLR6FQuqzOpc77f+2gGsm3cIbFc+MaLlOZ7W2dLJ/b3dREpPJgsnUvQ7s8YkawNRpITI7lQdWPk5KViLXPXIFc8+ZCUDeNwf4y3X/pOJINaHRRppqWohOiUS2y/zoN+cz56zplBwo477zH3Xq57lr3V4aa5oJCNKh0anHXVlWQRBcTyRrJ/z97v/w6WtbSM2IZ8q0JI/eu76qmf+t+YrDeWWEZE5Ap1NTs/sQVov7+0u7Os1uv8eJwiOCue+hlfzy5y/SUD90E7e1o7vfumhfKfee9yciE8MJCtFTmHesBGDP0qFVhd2jt/9+y7Mui9VitvLag2+RnJVAa0M7l919ocuuLQhCX87XBvePD9MiWTvAbrfzwUubOPfqU1EqFbz4pw/YveUwBbnFAJQcqvJIsq4orGXjh7nIdpkPXt5EY01L72stdBI7YwoajQp9gJL8TfsxuympSgrJZaPCTSYL324soKSojlknTSBnevfP0frDIK0uk4VAvRZJkoiJDeH0Zdn87/Wh+4RVxuA+X9eW1lNbWu+SeB31/tOfcfu/b+TVB//H0qsXEhHv+FJ4giA4zlXrWfs6kawdUFxQxZr73mL7uv2kz0rhzX982ef191/YiFanZsG5M9wax6urP2Xd24MPeqosb+797/CYEKoL3TPnNyhEz/5vC8g+NcOp68iyzH13vUnu9iIA/vv6VqJjjKRlxrFpQz4qlZK2VhMTJ0czYWIUJy9Mo7hw+Cph7T4wYsRus/Pu3z/mpieuRaFS0NHa6fF+fkEQxg5JlkewPtgYkbupgCN7y8j77ggTsxKIig+l58cgy93/09NnKdtl7HY769/bSf7OokGvqVQpeHPPI+iDdW6L+w/XP8uWz/KGPU6SQK6pwWq2ui2WGUty+PFvL2TmkpwRn3swv/KH/6/giT9/4urQ0OnUxEQb0KgUqBTQVVLNkfXD/9zcSa1RccpFc/n5n68ST9mC4AItLS0YjUb+tv1kAoJG/9zZ2Wbl17O/pbm5GYPB4MIIXWtcPlk/8osXaW3qXjnq+y/3ueSaNqudovwKsuZMcMn1TlRdWs/B3SXDHwhkZESzp6zCLXH0yP0qjwNbD/Lwx78jZ8HgT9iyLFNZ3kh4ZDAV5Y2suus/VFY0uTU2k8lCUfGxZm9JUpBz9RnkvfzlEGe5l8VsZf0bm0lKi+eqVZd4LQ5BGGucLWziL0VRxmWydpfOtuEXexiJ9lYT7z23gcRJUTy96u0+fdRDOXiolpTsJIr2OpbcR8vU3sUDK//Mb168hblnz+z3ent7Fx+/n8szT31JXHwoicnhbk/UA5FlyDtUS87VZ9Cw5yjlu456PIYeVcWiHKkgCCM3LpO1u0pm6o2u6ZO02ex0dZr53RX/pKasAVmWaapzvMiH1WKnyaZGkiTc3cvRXNfKY9c8xVX3XULOwgySMuJRa7pXCFOpFLzwTHcVsIryRirKvVuBLe9QLYHh4ST9KBmDTknN9/nU5Hu2IltTTfPwBwmC4DC7LGF3YplLZ871pHGZrN3FZrGx7ev9JE+JISo+bFTX+OyNLax/bydVJfVUlYx+BHNbSxdJmQkU7ysd9TUc1VLfyj9++TwACy6Zz01PXc/9d/8PSeo/D9rbOjrMlHQ0AJB5Uga64ABKth3y2P2jEn1jXXJBGCvsTjaDi6IoPiwlPZaGmhaa6lrpaOtCoZSwuiCp3HnJ35FlmfBoI3985UZSM+IcPnfvd0d4/8WNbPpot8uehoPjIlDkl2O3eW54dF1tK5dd8KTH7ueM/YdqSFF5rrALQECQ+wYgCsJ45OzKWf6y6ta4TNaP/ufW3v9uberA0mXhd1c8TVFBpVPX7Umy9dXN3LHyCe579nqmnTy5zzF2u509Ww6z4b2dzD4tg1OWT6OzvYsj+8r45sNdTt3/RPn7q4lOiaTySLVLrzuWBMV5bmS2ITyYWcumeex+giCMHeMyWR8vOCQQgLOvPIV/3vs/l123o9XE7698ml/9+TKWrJwDdI8Ifv7h93n3uQ0AFB+sJCU9ll+e+1dMHa4dnAbdHx6aHRyUNl4Vt1mZfMZ0Dn25y+33uuSO85i1VCRrQXAlGxI2JwqbOHOuJ43rZF1RVEdLYxvpM1LQG1zfPGm12Hj8V2v54r/fodWpyc8tpqWhvff1C284jY0f7KLdhcs6Hi8xOYyKXZ6t3OVvWltMtEmQvfIU9r7lnhXFgsKDCZsQw8ylU91yfUEYz0Qz+BhktdjI31lE2dEaPn1tCxVFtVgtNhaumOHWmtq7Nw88gOkvv37VrXW2g/Qat5UcHUtkGSyB7qkulnPVEvIO19EGtPnWWDtBEPzIuErWX7+7g7/e/mq//Z+94Z31h929IIbVZvfI9K2xQGN1fbW3kPhw8g4fW2azvKyRmXNcfhtBGNdsONeU7S+fof3j+d9FZLsPFI32oMMHa4mbFOPtMPyD0vV/ComL+/ZP5+8vx2a1k7ujkH+s/ozt3x1x+T0FYbzpaQZ3ZvMH4+rJur3V5O0QPE6lcd0/cfaibKzDrGEdFB8Bxz1N+osjla1IKgWy1TUf6FLmp3Ooou/gvs8/3sPGdQd61+LevvUIz669EaXKP94sBEHwnnGVrNuaO7wdgseFxIW7pDBKVFIEZdXttLUOPWo9LWp0xWC8raPDzNRLF7Hn1a+duk7ySVMwTEngQEkT1h+S8vFMx+0rK23g8092s3yFe1drE4SxbLysZ+0fUbpIW7N7Rl37sr37qombHOv0daLTEodN1AB2Nw7Uc7dDlW1IitH3fWVdOJ9iZQB5R+odHrD49pvfj/p+giCA/MN61qPdZD+ZujWuknWQi2p3+xNJkohIda7f2hhhIP+AY4VV6kv9d6pYZ6eZ7MtPQznCroOICTEkX3oaB2pG/mGwuKiWLz/L48vP8ti/17N1ygVB8B/jqhn8il+fReGBCofWhB5LqqrbUSgVoy47mjxjIvv3O5astXotmPz36TrvSD0TL15E5Sff0dE4/OIpkkIi6KQMioobRnU/WYZH//Be79cpqZGEhusJCNBgsdiYfdIELrp07qiuLQjjgWgGH4MUCgX3/vs6rrz9LG+H4lHNTR1Ep0SO+vz6JsefGGuL65ia4XyzuzcdKawjJjvZoWPTzpo16kQ9kKLCWnK3F/HtNwfZtvUI/3rqSzZtyHfZ9QVhrOlZdcuZzR+Mq2QN3c3CV/x6OU99+hvCY4zeDscj0iaHD1kfXKFUMHXpDNLnpxFoCOzz2uRZE6mucLxkqbXLyoEv96LTqUcdry9QO7DgRnC0kVqF1q1x2O0yD9//Drtzi3v31da0YO5y/bxwQfBHth9W3XJm8wf+EaUbTMxKYOr8Sd4Ow60kCXQ6NZYh6o5PWzod/YRE9u+v5nBJK3HTJqINPJaAiveVEJcYMqL7ynaZgEDNaMP2CcUmicyrzxj09QCjHv3J06ivd3yd8dGymG3cd9d/2Ln9KO+9tZ2nn/ycZ/7xJV9/uY/77voPf37oferrWrHbRfEbQXC3p59+mqlTp2IwGDAYDMyfP59PPvlk0OPXr1+PJEn9tvz8kbWYjas+6xNVFvvvYChHhIQFomhp5sC3xQO+nrUgk737qpGkY81ARUfrST8lk71f5KIL0jFlfjplla0ju7Eso65rISomlBo/XUjEZLJgGyL3TTpvXp/qZO7W0d7FXb98rc++zRsLgO5lSQuP1HL6siwSEsPJzI7HYrERHhHssfgEwVucbcoe6bkJCQn86U9/YtKk7oe9l156ifPPP5/c3FyysrIGPa+goACDwdD7dWTkyLomx3Wy/tFNZ/CH65/1dhhu01jfQaBeT1Qy1BTX9ntd1mj6JOoeRYUNZJ8xg06Tlf37a0Z174ayBnRN7cRlJ1FR0TSqa3hbdX07WRfMY9+7/cvRtpi9Xw2vrvbYh6hDBZUcPliJ0RhIQlI4BmMAF/94HglJYbS3m9HrNYSGBXkxWkFwDzsK7E40Eo/03BUrVvT5+qGHHuLpp59m69atQybrqKgoQkJCRhMiMI6bwQHmn5nDWZfN93YYbtXRbqZDFcjUM6b3e22APA2AqdNC/oFqiguda3kwtXUR4YbVzDylqbEDReDA8ftivXVZhqamDvbuKWVPbjEP3vc2H76Xy1//9CEbvjpAU2M7JrGwiyAMqKWlpc/W1TV8XQmbzcYbb7xBe3s78+cPnUtmzJhBbGwsS5Ys4euvR158SZJ98V3Hg7Z+sZcHfvpvb4fhdrIsk5Udw57Pc3v3TTw1x+mEPByFSkH66dmU1rSQGKZnz+HRPal7U+bkKJSdJtoq6ggIN6A0Bnm0CdxVJidHcv6lc0ieEIUxNJDYBP+sNicI0J1cjUYjv/jmIrRBox/Q2tVm4ekFb/fbv2rVKu6///4Bz8nLy2P+/PmYTCaCgoJ47bXXOPvsswc8tqCggI0bNzJr1iy6urp45ZVXWLNmDevXr2fhwoUOxznuk3VDTQtXzLrX22F4TKTOTuWRKjQ6NVJ0NDYX1cIejlavQaFU0B5m8MuBUCqVgsBALS1uWnvc3abmJLL3u6NEx4Wg1ak568KZnHHONLpMFiKiDSgUCmqrm1GrVYSE6b0driAMqydZ/3zjSqeT9b8WvkVpaWmfPmWtVotWO/BsD7PZTElJCU1NTbz11ls8++yzbNiwgczMTIfuuWLFCiRJ4v3333c4znHdZw1QftT/nvScERgXydTUGJqrGrAH6qksb/bIfbvazai1aqZMjubw0Vq3rh/uDlar3W8TNYDF1v3zrv5h/MCbz33Dt+vymTV/IlNnp5A9I5nSwjp0ARoMIQEoFOO6h0wYh3pGdztCo9H0DjCbPXs227Zt44knnuBf//qXQ+fPmzePtWvXjii+cZ+s33l2vbdD8Kjio8eavdNitFRXSdiHGvbsQpYuC4e/yCNlRgrVZhut43AVNG9Rq/qultbc1IHpQAWFh6qZvzide297lZi4EELC9DTUtXDSgjQ0LlyxTRDcRXZymUvZBRXMZFl2qI+7R25uLrGxIyseNe7/GmsrGr0dgtfk/1BCdKAR4e5UlFuELkhL9uwJVLaYqK9z/1zlcW+A3q4ukwVjTCC53x3h+28OotWpSZ4Qyf49pQQFBzD9pAleCFQQRsaGhM2JxThGeu4999zD8uXLSUxMpLW1lTfeeIP169fz6aefAnD33XdTXl7Oyy+/DMDq1atJSUkhKysLs9nM2rVreeutt3jrrbdGdN9xnaxtVhvFB6u8HYbXeDpJH8/U1kX++gPogrVEBgcQPTmW4ro28bTtBlNzEti3rWjA19rbTHz81g6gO3kf3F9BQnI4u7cVMiUrnkC9eyu0CYK/qa6u5qqrrqKyshKj0cjUqVP59NNPWbp0KQCVlZWUlJT0Hm82m7njjjsoLy8nICCArKwsPvroo0EHpA1mXA8wKz5YxY1LHvF2GMIPMs/IZu/hGr8cgObLjCGBtFQ0j/jZ46obT+PKny92R0iC4LSeAWbXrv8RmqDRV0w0t5l5YfF/aG5udrjP2hvG9SiSwgMV3g5BOM7+L/eSoFP2WwhEoZCYMGH0C5GMdzExxlE1Eh7cX+7yWATB1ew/9Fk7s/mDcd0MXnRAvBn5mor8SgDUaiWTJkShkKCrppkA3bj+VXWKahSZWq1RsfisHBrqWgkTZUsFH2ZHwu5En7Uz53qSf3ykcJPCgkpvhzBmKDVKMpfldG+nZxIcHkRkcjiBxsDhTz5BRX4lyrI6Dn2xh/bSeizBAeTtF/9WozE1J5EDO0qGP/AEcxdMYfUf3ueVNf0rLZnNVnZ9f9QV4QmC4KBx/bhSJJrBXUKn15I0fzJ5+7p/ngqlhCY0iKZOC9oIAykpERTtHlnCsP6wBKQ2PpSCg4Mv7ykMral2dAupbPpqPwBlPyx2U1XRiNViIzouhBVz/8idD17EmTNWkTktEXOXlaUrprPs/BliQJrgcTZZwubEQh7OnOtJ4zZZtzV3UFM+fqdtuZJSrURls6HRqJAUEl0mC6ZOC9A9wrg9NJCQaCNN1SMvwKLw4oh1fxcUrMNqca5C3Z7tRdx21TMUHa7h3scvpbWlk0VnZnOkoIpZ8ydycH8Frc2dHM6v5KWn13HWBTO58Ir5REYbvDrbQBg/nO13Fn3WPu7ofvFU7SrtTR3s//oAOr0Wq9VGXHwYxtQoKqtbSIo1Yu+y0DophvipSXQ1tXN4m2NNqBFJEeSP46l1zoiNCyFQqaSwwPmfX8HecuYunIK5y8p9t71GS1PHgMd1tHXx9totvPvaVs5YMZ2rfr6YqNgQurosdLZ3ERQcgEqtHPBcQRCGNm6TdWG+SNauZmrvruBTfbSG6qM1yMC+vd2vZS3NobymhWCL1eHrRWTEUXVA9FWPRnhYEPu+L3TJ0Jno2BAmZ8Sx+o/vD5qoj2e3y3z+Xi4bPttLXGIYJ5+WzqvPbODcS+aQv6eU8y+YztJL5w375F1UVItKpUSpVBAaqkenG339Z2HssuPketZ+MsBs3CbrIpGs3e74P4GCjQewmm00OTitPzg8iAI/XKHLVygUrnsDqq5sYu2/1o/4vC6ThcJD1RT98O/44X+3ERURxD9++wa5Gw6Qc/IUgkMCqemy0t7ehc1mp7yskaamdurr2igtre8tvNaTsJcuy+aqa05FqxWJW+gmOzkaXBbJ2rcV5YsnNk/qGTDmqMTZE9gjnqpHzWZ2pgCjax1fd8nUZSFAr2X9O9tZ/852ALJOzyK3YujxDDabnbq6Vl5/bQsb1udz8Y9OYsV5M136oUQQfJl/9Ky7mCzLFB8UicBXaQI0HC1t8HYYfis2LoQjPjgmQ6GUiFDJNNf3rQXfNMJlWisqGnly9WfcctOLbN92lHFchFEA7LLk9OYPxmWyrilroLPN8RVSBM+adMoU2sS/z6jpNWrMJou3w+gjOjKISREBFJ1QFW3KnIkU1rSO6poF+ZXc9Zs3uP7af9PsQF+6MDaNlwpm/hGlixWKJnCfJSkVlNe3ezsMvzVlQpTvzHSQ5e6+ZmMAISo4vKu43yGqwNHXdO5RVFTHrTe/xBef52GzOTdVTRB81fhM1qLmsc+acvIU6uvFkpmjkZwSwRFf6eeXZXImhqNraqY5v4RDOwsHPKxwRyFqpfPNkOXljfzp4Q946u+f09LS6fT1BP8hmsHHsKOicplPkoEW0f84anqdGtlHniynpkWxb3MBnW1DL3kq2+2oVK6be/3+uzv5v1+/Sn5+hejLHid6aoM7s/mD8Zms95V5OwRhACnTkigtEQPLRqutyXeeKNtqHatWZ+owkx428vrxQzl6pIabb3yRiy96guLiOpde29PEB47hiSfrMaqjzURFkX//AY9VygjfXUvW12VmxVN6tNbbYQAQEx3cbyDZUMytQz99j1ZTYweP/elDmpv9c/CZ1WKjqW50g++EsWfcJeuj+0R/tS+KnRzDwUNiwY7RyMqO52heuU805mm1KqyV9SM6p7WulSlxIW6JJ/9ABbfd8jKtrb7T6uAolVpJaKT4ADsc8WTtx8oLa8jdVMCeLYf535qvyM8t6n3tiBhc5pOCU6O8HYJfCjYEsP/7Ip+YqiUBk+OCaRjhgi1VRbVo3JhMy0obePyxj7CNcD634B/GS7IecxXMTJ1mfn/lGqpKjn26n7kwnWt/ey4qtZLcjQVejE4YSHhimFiwYxQUComUxDD2VY1uGUxXi4s1sv/bg6M6V6Fy73PDpm8Ocv+qt/ndveeLGuOCX/LrZG2z2qiraqa6tIG93x2htamdvO+O9EnUADs35rN/+1GM4UG0Nftfc9hYF5WVSLWvzA32I5Mmx7BvW5G3w+hVWdXMlFmpHNwx8DStoUhBOmh079/mt5sPcvsv1/KLm88gZ2qiW+8leI6zT8fiydpNCnKLefuZr0ECU0cX29fnY3dguoqpw4ypQ4w09jWGiCDyRV/1iAUbAqgtHlnfsLvZZTBrRl7kRK1VUdTgmUI4BQWVPPzQezzx96uJihL9wWOBjHMrZ/nLeHu/StZf/Oc7nn3oPVo89IctuF/CLLFgx0gkp0RgbTPT3tpJc6PvjXLW2W0jPketUWGxee4ts6a6hV/d+gpLl2Uzd94kMjLjhl2uUxC8zeeTtd1uZ/Mne/jqf9v47su93g5HcKEAg45DRb71dOjLsrMTKNhZgs068oToKa2jmGpkjDRQ3GkGDybM6upm1r6ymbWvbOY3d53DWcuneezegmuJZnAf0NVp5r9Pf8Wrf/vU26EIbjBh3mR254uBZcNRq5WkTYpm//cj7wv2NGNCOOVHRtatoVQqUCoU2DxYACQ6NJBYvQZLUwcfPP4R6amRaLQqQqMMBOh1HotDcJ5I1l4kyzKH88p49JaXKC/0jUIPgmuptCqKKkc2xWc8Co8IQq9Ssn9H/0UwfFF57cjrupcdqiL75Cnsrm/3yNO1SiER0t7J/i3HRq7/YvGDABjCgnhg7S9Im5HSO9VLpVZis9o4sL2Q0CgD0YnhqNSuK5EqCI7wuWTd2d7FH294jtxvxBSrsWzyKWnkHa7xdhg+bfKkKKSWTo76UVdBY2MnSZNiKDs8shaTA98eJGtWKkU2aHfznPHsOCP7B+lSa2lo4//OfZygED0dbSYUConwmBDaWzp6x8roDQFkzJ7A/OXTWH7lKaK/28vEk7WX2Kw2kajHOkmi2k0lJseKGTnx1GzaR+WRaoLDgkieMQG7xYpSpyGvxDfmVQ9muMU7BnNoRyEpp2Vx0J0tLrJM1zCrutntMi0Nx46pLOrbutfe0sn2dfvYvm4fjTUtXPF/Z7slVMEx4yVZ+1wFs09f3+rtEAQ3m3LyJGqqfTvheJMxSIu9ronAED2ZizJpbWhj71d72L9xP4e/zSc7Tk9cVJC3w+xPlpmaFjniCmbHs9rd22+dFh/KkeMqGjrrg+fXU1vR6LLrCSMny5LTmz/wuWS9e5QVkAT/IANtCtHfN5Tmti52V7ZzSFazt8VK1pIcNAHd85c720zsXZdH1aY8suNcu1qVs9ImRbJ3/X6nVopyZ4uyUa/BUubaRXya69t495l1Lr2mIAzEp5K1LMtUihWxxrTU6cmU+FgxD58mSeQ1mplyWk6f3Xa7TPVB35mfrlIpKNlxxOnraN1UdlQhQXSXmTI3lLX97os87HZRd9xbxHrWXvDucxvE6O8xThEe7O0Q/M7UyAAKvtrdb7/FbEXl5prajtJpVS5ZTEThpjfOoAA1NW5a27r8SA3tLWIMhreMl4U8fOMvHdj6eR7PPPCOt8MQ3ChmUrRYBnMUzCoVli5rv/1NNc0kRPtG37XZYnOq+buH2k1PqBNDA+lw46DGgp2+PwdecI2nn36aqVOnYjAYMBgMzJ8/n08++WTIczZs2MCsWbPQ6XRMmDCBNWvWjPi+PpOs331ug7dDENzMODHa2yH4JXPJ4FPc7G4ekOUos9lGTHKE8xdycbIODlCTnRDKvq/2Dfi6QiExeVoSgcHOFUL54AXx/uUtnh5glpCQwJ/+9Ce2b9/O9u3bOf300zn//PPZt2/g37HCwkLOPvtsFixYQG5uLvfccw+33XYbb7311oju6xNTt+x2O0UFvtP/JrheaGwI+QfFU/VIZcQZaNg1ePNtgMZ3BusFxEWgrmzCYu7fCuCohuI60GpdEk9KVDBVmws4eMJCP3pjAGFRRowRwVSWNnJoXwVJEyMpceI9qLVRrFfgLZ6eurVixYo+Xz/00EM8/fTTbN26laysrH7Hr1mzhqSkJFavXg1ARkYG27dv5/HHH2flypUO39cnnqwVCgUX37jE22EIbhQ7LRmbA6ujCX2p2jupLRt8QJ7KbPZgNEM7UlRP3MwJTl2jvqKJ6FAXjHKXZaSKhgFX5EucEkdpUT17txfR2txB2tSEQRN1dGI4YdHGYW93YHshuRvznQ5b8J6WlpY+W1dX17Dn2Gw23njjDdrb25k/f/6Ax2zZsoVly5b12XfmmWeyfft2LBbHx3n4RLIGWH7FyWjFovBjUqAxgINHxcDBkVBIkBOqoaF46J+bfRRLUrqTzcnVs8xdFkIDnf+eVEoFekMASWmxvfuiEsLInj+Z/F0lvfum5CRQsLNowGtkzp1Ic6uJ+InRTMhKwBB2bHzAQOVGP39ji9NxCyPnqmbwxMREjEZj7/bII48Mes+8vDyCgoLQarXceOONvPPOO2RmZg54bFVVFdHRfbsAo6OjsVqt1NU5PujRJ5rBZVnm20920+XmMoOC50lKBVGzJnBYlBYdkeyYIPZ+tGPY45o6Rt/k7A7Bgc5/4Na5YLJ1YpSBQ98eQrbbSc5OIECrRlIo2Lu9qPcYvUFHZ2vnoNewW+10dZjJ29Y9eCwkPIgJOUl0dHTRUN1C4oRQgkMDkW12JIVE1wCDAAX3k51sBu9J1qWlpRgMx9Y41w7RHZOWlsauXbtoamrirbfe4pprrmHDhg2DJuwTS9L2DMYcSalarybrhpoW1r29jf/840tam3xvbV7BOTKQuiiDQyJRj4hKKWFrHf7vISopgsqaVo8uLQndg7LsNvuA97W3Oz/iumZ/GZGJEdQ2D55Ih2OUoFyWQZIoLqhGo1MTEqbve0xYEBWFtWh06gGnnam0apRqJVZz95KkTfVtNB1XqrT0hNaiIGMgFrMVtcYnnoGEEeoZ3e0IjUbDpEmTAJg9ezbbtm3jiSee4F//+le/Y2NiYqiq6ju/v6amBpVKRXh4uMPxee23av/2Qh647t+9xfGFsUepUnBENH87LDVaT5DZQlNZHQe2DT/YKTwpgpo6z/RZa7Uq0pJDsJksHNldTFBIIOET46iobiUpzoASMLd1UrD9qNP3qqtoRFHdTEpKJJ1RRqobR/5B/sQnFrPJQk1FU599FYW1IElkz0mhpa6VyqI6Jk1PxtRmonB/OUBvonZEW3MHxQWVTMpJHHG8wujJgDOzBl0xn0KW5UH7uOfPn88HH3zQZ9/nn3/O7NmzUasdb4nySrLu6jTz8C9eEIl6jLNb7aRNjuZAgVizekiyzNTIAPZ9mjuiucpKtQrwTLKeFK1n74YDvV83VDXTWN2CSq3kwKEyl9/PbrNTcaSapKQIRjqHYEKskaLdDiwp+kNC37utCICwKAMHckvInJVMamY8B/eUjvDOsO7t7SJZe5gdCcmJYjojrWB2zz33sHz5chITE2ltbeWNN95g/fr1fPrppwDcfffdlJeX8/LLLwNw44038tRTT3H77bdzww03sGXLFp577jlef/31Ed3XK8m6o81Ee8vom7gE/3F0w36mLMgQxVCGUbm3ZGSJWqWkU+mZAZmZkyM5sHF/v/2yLDs1TcsRphE82R5/jko98re2hppWAI7sr6Crc3TjZ3Z/e2hU5wmj5+xiHCM9t7q6mquuuorKykqMRiNTp07l008/ZenSpQBUVlZSUnJsEGNqaioff/wxv/71r/nHP/5BXFwcTz755IimbYGXknVTXSuJE6M4lOf6T+SCb7GZbRRvPEDc7AlUlDd5OxzfJEkEGALBwdWbwmJDiZqWSn5Rk1vDCjUGEB+mozTPgadUN5gwNYn8YZazHEhFfRvZqZE0j+JcYNSJGqDkUBXVpfVEJzreFyn4l+eee27I11988cV++xYtWsTOnTuduq9Xpm6lpMcRFiARHgCZM5LQiClbY5rNYiPCEODtMHyWQpJob3Q8sTTXtqC228lMCXFbTJGRQVDXyP5vD3qt4EdARP9SqpJCQq/XEhQ0dOGUki4r8ZOGr5inC9KSvjQbnYt+P60WGx1tw8/PFVxnvNQG9/iT9SfPreP5371OU233esbVR6rQh+jJOjmDivJmGmtbPR2S4AHqtk4mTIjkqBhw1pcskxWiZt8Ox9eAtllt5H2+i5wzpro8nKSEEPTYqS+vp7nOe3+LCZNjkMKDyYnsLkhis8moVAoKC2tpbTWhUinJyklg3yCtc1a7TP0wLRWTF6RRY7Wzp6gOw+QYJmqUHNly2OEYlRolQaFBxM1OBbtMw6Eqqg9Xo1D6TPmKcUGWnRxg5hsVe4fl8WS97bNdvYm6R3tTO7s/3o5CqSB9YTYdFpky8aY+phzdW4pSq0Fj1GMW81F7TYo1sO/j7aM6tyyvmNgpyVTWjq65FwBZJiIiiLjwQLpaOynaXej2fujhKJQK6kOCOLqvYtBjrFYb+/aVk5waQVVFU985zrLMlNBA9u8bePCdpFSQviybw5XNtLd3PwWHh+qx1LUMePxgpizNZt/RWmp/WHYzNjaEjMQwwqMdm/4jCCPh8Y+AF99+LkEh+gFfs9vs7P96D0Wb8kiKCyJ7RiKTs+MxhA18vOAfwqKCsdtkmqqamDIh0tvh+JTqZhPBYaNbOauxuhmpohr9KAuRSEDOxHAa9haxd8N+Du30fqKG7veBlBDHmqWLi+uZnBaDpDjWlJkzPak3CeuCtX3mg8dnxTPxzBx2H67pPQbAWlxHyXGVzYYkSSTPSKaly4bVeqycaWVVM2WdFtSiW8+jPL2Qh7d4/Mk6c94Unj/wN/56/Rq2fjR4h/vR7X2bo8ISwknISsamUFJd3khTnRNPE4LHKFUKouJDyd9RBED7EHWux6PWTgthOakkVDdQll8+4vMrjlSTuTCc/R0jHxQ1ISWMfZsLRnyeJyjsdjQqBWbr8PXk9+4tZ9KkKEqL60lMjiAvr4zgYB0pZ02ltKKJZKUESATGhXCorIGOE2YmBOjUBOm1VA8wkDsyNZLAUD0B4UGYWzrRRgRR1dTJoZoWGKBvetGidLRakaw9ydOjwb3FK6PBJUmicO/I5jA2lNXTcNwbfXhiBDGT4lAG6mhq7KCyuN4l6+kKrhUebexN1AAleaWEzEilaRSFLsaqhlYz8XGho0rWAPs37ifnzBnkFTeDLBMdoScyWENZvYmmIdZwDvThrtV9X+1j4hk5HDihkMlgjh6tRaVScvhwdyJubTXR+sP33puDD/af769QSEyKCib/q/19ZttKCom0xRkUt3RS3twJPT/HYWpDfPrpHn5x0xkoFP6RAAT/4ZU/15BIA795/hdOXaO+tI59X+9hz0ffU/LtXpTNjaQmGsn6oek8KMQFK/f4sPikMELUdiICJMJP2LJz4vo0C3pTTXljnyIREpAUM/wqRuONud25EcQHvs4jIyWEeNlE9ea97P10J7phFgloqnJsqpg3qNRKqkZQi8FulzGPoglfoVBQ2NDB5JMn99mfvjSbPaUNNI+w5GlqaqRI1B4mRoO72bTFWeQszCBv44HhD3aAqc3Eoe/6NulFJkcSOSEWq0LJ0QNjZ71sSSERoJQprWwa8PXa0nqyT8thf97ontRc7cSpefs+2UXCggzKShu8FJGPkWUqCpz7t7KarRz4tG+3UnB4MFVtA7c2abUqqkt8t2Z72ilTyK1xf1eX1Wqjrc2G5rhBYfFZ8TSMsu/+7HOmuygywVHjZTS4VxvCFv9o4PU/XaW2uJb9X+/h4Fe5pCYZiU/1/8FN4VHBpEyM5OC2I0MeV5FfSmxCqIeiGlrnCYs7SECYC5ZBHCsmxQbT7uKFbDQBGnShgw9cmxJvwGoZeXUwT8hakk1utWenjR2paSF9aTbJZ+ZQaLZRWja6VoeTT3hCFwRX8eryMAsvns+md74n96u9br/Xoa3dT91Zp+XQ0Gqh1sG+MF8TrJI5smX4Re4bKpuI1qiYnBrGoULvPcGGRARTnN+/VcMumgoBCNQqkapd2xydvWQq+dUd5JUOnPCCg7QcdaR2toel5iQSGGVgT1WLx1cSa201sWeI/n1HJCWFo9cPXaxFcL3uJ2tnBpi5MBg38uqTdUikgQc/+C0Z8zz3aXTf13nU7DpEZk6c300Jk2UZRpDkqovrOLKrkLDI0U0NcoWECZHY7QP8NXR6ZgEKXzcxLIAjO5xfqapHdHIk+yrb+0wpOlFCTDCdbc4vZelKE6cncxSJ3MoWbCN495ycEUtQsM6NkTlu/smTUYqCKB43XqZuef03S6NVc8aVCwiJ8tygI5vVxp7PdtJ+tIysGYnofeSPfThJEyIpyx+8UMRArBYbtLSRmRPfu0+SQKVRujq8Eaka5cjnsSRIp6Zos2vGbPSISk9AHujDUQ9ZpsPFT/LOkCSJtHmTOWwHi83xJJ0xPZGwGVHs6GwgNjPK64O6dDo1l1xykldjGK9kF2z+wCdWST/vF2cy56wZ3DjjTjpaPbcaV1dHF7s/2oYuSEfWwmyKjtTR7mRTmLskT4igfE8hZtPI59PWlTcQFKInLjGUyrJGkmKCaKptJiorEZQDJG1ZPqEZUu5uKpLpMz2uz1Q5ufuXvvcsqfcgVBplv3WBG6uayT4tniarPG4HmiUpreS7uK/aPkzzcVZqKAe2+M7KUEkrp1GADb0mGH29jfJhfhcCAjRExRops3dS3tLdzL+jqgptqo6cyEgUHTYaa9uormxGpVa6tV8+KEhH2w8tFJMmRRMa6l8tdYJ/8YlkDRCbGsUtT17Ln3/6tMfnS5vaTOz+eDuBxkCyT83icH41Jh9pplVplOi0anQB6lEl6h5F+0rR6NSkZiZweGchAEqlgvoOO5KH+wehO5fnf72fmEnRTM2IpbSqhUYvLRjhaXFhgciHy8jf6dqSutEpkZTUDp78IyP05G91vPa1u6Uvz2ZTxw8jvjs6QSEzd24yB74bvD99QlYMW+qq4fjKoJJEl83O9qruOdY6vZIpEyMhQkvRd/1rh09LDmN38cg+IGo1KtJSwumqakIXFoSt00zBun3EJIUTOSWOs5dmjeh6guuMl6IoXm8GP97Sqxdx8vmzvXb/juYOdn20DampkewZiRi88Ek5ISWcyRPCSJ8SSUJUIIrmFoJVdop3Dj362xFmk6U3UQNEp0Z7JVEfr+pwNfs/2YW2sYWQ0LE9Nx5ArVRgKyihusj1te8j0hOxWAd/kqxv7CAs2vtz3EOjDYSunMomTmhFkyT2NtSjUvdt7TGGBKJQSCQmh1NpHb7lzWS1UaQyUdfRSebcZCKjgntfmzo5mv0f7yJNrybZbiM1efilLBUKifRYI/nvbKNwyyEOfJTLwXX7kICGknq6yhtYdEa2Q9+74AbjpB3cp5J1Z5uJykLvz/1srW9l10fbaDlUTHpGNAkerGdtCFRT8P1h9n9bQMn+MkztXZQfqqLDDc3zCrV3+62PV1dUR8I4KJaSERlIbal7Sq7u+3QnqcGqQQdS220yUSkRbrk3QExyhEPL3YacMoFDnR0Djvhut1gwZocTGXVs3nNEejhSmoF9UhtFTY4tttHSZaaitY2t1VVodRqCg3VMmxzNgXe3IQGF3x+h8kA5ZR/nkjN58KU0JQlyksM58HHuoMdcc/d5aAPEVETBvXymGdxsMnPXmQ/61JQSq9nK3q92A5AyYwLBseEc2lfh0n6wQL2WlAkRVFY009FuGtG6xs4ICtFTX+9bJT+LNuWTGBuCPiWK/IPVw5/gZ7Ljgtn30Q633iN/cz4hczJobBn4w51S67qkMmXBZLoaOyne293UHBplICTKQGtDG+VHjn3oTpmWiC4iCLNRiwxs62wdcmpWk6kL/XFdPlUd7TR2jv7DqiE+CF1tU2+iPp4EHPk0l4zZE6lVKIkMDUQjSdS2mogM1FD8zQEO7B18gY+zr1nAvDNdv1SpMALOjuj2k2Zwn0nWm9/dRmJaHMkZCQAczSvm8M7Cgaf9OCgpI56SA64ZdVyUexRyj2KIMpI2ZwoVZU0Orb0dEqYnIjoYSZZRq1VUVjTTWN+GMTQQY0ggWuzs/TqPqadlY+nSceDbgy6JdzhdnV0EBPjWggOmVhOVrVUkqJSkxQSj0qhQatWgVGKXwGqT6bJY6ey00NbeRZuPDgYckCzTlF/m9vEYsiwTZu0kPDGEw6X918g+UtZE3IQoKo6OvgUrLDaEsHkpfNvVhjE0iJyEbOwaJVq1EmtlKx3HfVBIPzuHTXIHSBboScDDdL0kBgdT1FLGxLRougxK9tc61xKxo7aGDMUP9x3g5281WTmyqQBDjJHydjOm1k5kYOhirbD4ojnc8uhlTsUmOG+8VDCTZB9e/aKptoXa0jpee/gdNr3zvcPnKVVKLr3zPAzhwaz5v5fdEptCqSDtlExsavWQpUyzpsaRt+5Y0Zew2BBCkqKROzop3leKpFBgG6Kf0Z2yF2awf6//lmGVFBJBYXr0IXp0hgA0gVqUWjWSWoksSdhlMFvtmH9I8O3tXX2WRfSkIJ2ajm/dX/ynh0qtJGp+FhUnluyUZeK0UFU8XCoamDZAQ8eyCTRaBijHKcucYlJTtqOYxDkp1IaoKehoH1WBkxCdlqZOk0uLoywyhNC+s5Sigv4LeoxU5kkT+ePrtxAY5B/TPseilpYWjEYjqS/8DkXg6P8d7B0mCq99iObmZgwG312L3GeerAcSEmkgJNLATx+6zOFkHRCk41dP38Dpl5/Kn676u9tis9vsHNjY/eYblxZPxKR4juZX9Y4iDzLoSEkOY8+6vm/QDZVNNBxX0zs2Odxr/fR1pd0rlXl7kNloyXaZ1ro2WkewXKpaIaEP1RNoDCQgWIc6UItKp0ahVoFSgR2w2mXMFhtms5WODjNtbV2jWiTieMlhOlw7o3pocVNiKakeuLm5uW70pTytFivKwYa6SBKbA6zELpnIpi4TdFpGnWybTF0ur2JmrWymcHcxU2amYuqyUnpkdH93KelxPLD2JpGofcR4GQ3u08m6R0RCGKdeeNKwCTs02sgf3r2T9JMmYbPa0AZ6pvRfRUE5FQXl6IJ0ZJ6aiUKlonRPIXu+7i5golQpyZw3CX2Inqx5k+lo7aQkv4LWxnYe/eS3/HLB/Rw8bpS2p0QmR1LTPL6Kk8h2mbb6NtrqRzY2QKtRoQ8JJMAQgC5IhzpAg0qrRqFWIikVyJKETQab3Y7FasdktmIyWehoN9PZ0UXj/sH7Pd2hs7mTxEnhlFb1TcxKldKpFdlsVjtpTTbMRiUtg7QIVXb5aPeEtvvt7uDOQtRaFRPS4wg0BJK/u6RfHYDBpKTH8bdP7kInatv7Dllyrt9ZJGvXCdDrWHrVwiGT9Yobl3LjX69B88PC7811rXz87FeeChHonq+954eVj6afns2P71hBdHIks5bm9MbVQ5Zl7DY7CoWC5KwEryTrrnYffVP1QTazlZaaFlpqHBuNfLzMrDjycz3belJbVk+ELENwSJ/9YWGB1Jc5N3ivYEMBUSun0mL1rQGKw6nXH3u7s3RZObK7+wNUUloc+tAg8ncNPbhVpVHx22euF4la8Aq/SNYAE6en8MDbd/R+fXxPe1JGPHGTYnymLu/Z1y/hZ3++Er1h8HnDkiShVHVPnaqv8E75R40+wCv3HU8kCWwd3vlQ1FTbQkBkBJ2mY034gTo1zk4c0wZo+o2q9gf5pg4SLpuF7Z09fQoMlRR0t4AlpsVRWlQ3aLfQ5b9eTnJarEdiFRw3XgaY+U2yjk6OJDrZ95e4vP5Pl/OjO84bUT/w9MVZ7PTAymMnamr2XGnX8WpKVhwHNu73yr2tZivJkgUpMYTK+g7USiVGrYKGYB0xZ6RTv+kITQ7MaDhRyhnpbO70r6dqACSJMnMXJ8+fRMHX/UcQlBZUkHNqOnnbjvb7+73s9rP58a+XeypSYSScLWwikvX4ERSiJ9AQwMpfnc1FvzxnxOc3Vje5PigHGA06RrYsiDBSKi+39hzJPda9EpUUQRdGEhJDyDV3kHPqRJre2TWi6+n0Wrbb/ftDniV68FXo8jblk5QWhzHSwN7t3T+7K+88lyv+b+R/14JniAFmgkMWXjyP6/90BTEpkaMaVX00r4R3nvrMDZENr3RvMRqNzumRzsLAtDoVVYd85+NQTUkd7S0dSOfl0GEx811XG3NPmsCR7x1bojMpKx57eiRlnZ4p3OMO4Wo19V8NvR58SUEFFFSQeXIazY3tnHfdYs8EJwhDEMl6lJQqJQ+88xvmnDUNhWL0T0+71nuniRSgpb4NdbRnRsyPRymTorzWBD6Q1NmpFGdEUGc5tkhNV8vQT8l6QwCyLNPRasKUEcH+Dv9N1ABNFgvqYb5n6P77jksO57pVFxEcIlbT8nl+0pTtDJGsR2D6aVmkZCVSfriK2cumMvfsGU5fc+qCdLQBGrq8sMqXLlBLl9nqt/OsfZkkQV2h75RMTb1yHnvsZizWvq0oQRMiIL9/YZzknARUkyI4bDejVyqIVSjJa29z+dxnj5BlVJKE9YelX4ebujbztCyu/+MlTMhJ8lCAgjNEM7ifc3VhtrDYUB784LdoAzQuvXZqThIhkQaqS0ZXUcoZ2kANXd4pnjbmqTUqOlp8YxBWQlYCu2xdDPRPvV3RxazT0zn4dUHv7/WEmclUpgRTaup+iq7vGTjtj4kaSNEF0P7GDhJzEmmqaKS5c/ClZi/4xRn8/JHLxAdYwef4xlwnN5BlmdABlgOcuiiT9LmTUGtUGCOCSclKIDgsaNg/zgfevqN3ZR1Jklz2x6xUKvjJ/Re75FojFTspRrwpuUlkjJH2Zu8na0mSsM9OHDBRA5jsdjbrrDQsn0jMxdNIPzOLAwk6Sk1jaw6+QqmgeHcJzUOMfj/53Jn87OEfi78JfzNOlsgcs0/WhrAgXi36J28+9h7fvr+dCTlJXHrn+SSmxSHLMhaztU+hkq5OM0X7SjmSW0R7awfP/GYt2gANiy89mbN+ehrpJ03y4nfjHhWHKomPNCApupsGJSTsdnv3L6/U/UYfEG6gvKSe9lbv1NT2V77y9z/pxyfxnXn4xGsD9na0gxIYY+MNi7pMzF45k8I3tg16TFCInpsfv8Kp8SeCt0g/bM6c7/vGbLLW6Lqfgq/8/Uqu/P3KPq9JktSvopg2QEPa7ImkzZ6I3W4nKjGCidNTSJjs3iIIdrud1x973633GExLfRstw5TdVKmVKFRKwsODCIkycrS40W+KCHhTWEgAZV6OQROgYa/CCnYvB+IDdlk6yZmaSMme0gFfv+1vVxEeG+rhqATBceJj5AAUCgWLLpnv9kQN3R8cjq+m5GusFhvmTjO1ZQ0c2llIdLx4Q3OEpdO7LRGhMSF0rZxKu11kavihsSA7ZsDXTr90PgsunOPReAQX8nAz+COPPMKcOXMIDg4mKiqKCy64gIKCgiHPWb9+fW/36fFbfv7Q0wiPJ5K1l0mSRKIflTA0GEWJ0uEEGwMo+P6wV2Norm0hUeFb65V7W4ndSsqM5D77JuQkcvXvLhT91P7Mw8l6w4YN3HzzzWzdupUvvvgCq9XKsmXLaG9vH/bcgoICKisre7fJkyc7fN8x2wzuT66+dyWFe8uoK2/wdihDyjktm327vd246/vUWhWSQgF27w21t9vsWDYdYf6cFJp1SvY70G891tVbLLRMNHBSwnRKNhSQMm8i5/ziDGKSI7wdmuADWlr6LtKj1WrRavvXofj000/7fP3CCy8QFRXFjh07WLhw4ZD3iIqKIiQkZFTxiSdrHzBl1gROOW8WCieWLnQ3Y0SwSNQOaqhpJWO+45+Y3aX6aA0Fb35PSKuZWSqd/6xY4EYWWWazxkrSkgwqJ4SwaGGWt0MSnNWzRKYzG5CYmIjRaOzdHnnkEYdu39zcDEBYWNiwx86YMYPY2FiWLFnC119/PaJvUzxZ+4iFK+ei02t58/EPvR3KgDrbTMgBgaK50AGyLFOW7xtlRnV6LTt1MiaryW/nSbvDZoWZ35+zCNUPK98J/stVq26VlpZiMBh69w/0VN3/XJnbb7+dU089lezs7EGPi42N5ZlnnmHWrFl0dXXxyiuvsGTJEtavXz/s03gPkax9RPYpaT7dDG42Wcg+KZ79e30jCfkySZJIzEqgaf0+b4eCVq9lul1NgcpGo01UwOkRZgjkrPkZ3g5DcAUXrbplMBj6JGtH3HLLLezZs4dNmzYNeVxaWhppaWm9X8+fP5/S0lIef/xxh5O1aAb3IZnzp/DzRy8nKSPe26EMaO/G/YRFDr5ikXCMxQvlYwcSOTmGrXSJRH2Cn5xzElq1eFYRRu/WW2/l/fff5+uvvyYhIWHE58+bN49Dhw45fLxI1j4kKjGci25bzj0v30xqdqK3wxlQTHSwt0PwE77RPyxJiObvEyRGhbBy8VRvhyG4iov6rB2+nSxzyy238Pbbb7Nu3TpSU1NHFXZubi6xsY7PBBIfLX1QanYiT3//EAd3FHLbglXeDqePikOVRMcZqa5o9nYoPk0VoPN2CAC017QiJQQii4QNgEKSuPeny9CIp+oxQ5K7N2fOH4mbb76Z1157jffee4/g4GCqqqoAMBqNBAR0T229++67KS8v5+WXXwZg9erVpKSkkJWVhdlsZu3atbz11lu89dZbDt9XPFn7qJ7517POyOn3mlqr9tpAr4bKJnQ/1EgXBmexHmt2VqqUhET1r1PvCRUHK5mLWAa1x09XzGXGlJE3WQpCj6effprm5mYWL15MbGxs7/bmm2/2HlNZWUlJSUnv12azmTvuuIOpU6eyYMECNm3axEcffcRFF13k8H0l2dXLUwkuZbfbqStroLa8gf1bD9HW1MEV91xAW2M7z9/7Jl+/uQWrxTP9kVFJEegijJQW1olR4cPIyo4jb+N+DBHBGKdNpGrTXixd3im6nTorlbrsaIrN47u+++SECF5edSUqpXhGGQtaWlowGo0krv4DCidasuydJkp/dR/Nzc0jHmDmSaItyMcpFAqikiKISooga/6U3v1hMSHc8e+fMyEnibUPv8viH81j07vbhlxVyFnGhAiO5FeJRO0Au627zGfc7CkoJJlSLyVqAG1qxLhJ1HqdhsToEJJjw/hs67FSjmGGQB69eYVI1GPRKPqd+53vB8Rvrp+76LblvFW5htuevJbL7zrfrffqaBsfb/iu0GqyEpUUQX5JI/aW4csQ9iznGhSqd3kskm381AefnBjJaTMn89nWfB76+dmolAq0aiV/ufV8EqNFXXvBf4lkPQb0POme94ulPLX5DwQGu35wk0qjol0ka4eVFdYRlZ0CkkRxp0zOWTOYPHsiygGKcCRmxGOKjyHr9GwiZk0me/lMl8WRc+Z0kCA7eHyM4j9QVIUkwT/uuBitRo1GpeTRm88je6L/1N8XRmicrGct+qzHoP1bD1FZWMMbj71PxZFqp/u0Q6ONKAzBNA6znKZwjEqjJCwjkaqavt0S4UYdUQobBzYda6KduGwmR8qPja5XqSQyYoPJ+zR3xPeNmRAFiTE0NHUiKbo/yE2clcQ+axsNpvHzYevhG88hNtxAUkwoBr1vjMwXXKu3z/ovf3S+z/r/7hV91oLnZc6bTOa8ySy57BTytx2hYNsRbDY7z9z1GqP5bJaQkcC+PeVuiHTskpCoqm7pN8e5vtlEPZB8xnSoqqe2uLZPogawWmXySprJOCWNA5sLCIsNJdAQQFnBsepx2WdMpaulg0PfH0alURGdEknoxFgOlDVjq+vb7F6nttMwTlpFUmPDePzW80iKGb5OsyD4E5Gsx7j0ORNJnzMRWZbZ9tludn6116HzQqIMaHQa1BoVZaWNbo5y7AnQa7EoJOyDfDYqrmwFWc3kkzM5VNrUL6krlRIdAQFkLZ/Joco2YmKDyJkQQ1tFPVVHqpFUSg53yEw6cyYmi42y6jbKSwae+66SJGaEhVPTZaLcgWX8/FWgVs3Lq65ApxFLg44rLio36utEn/U4IUkSq/7zK867cemwx06eNQGzWktdm5XKBhPNjR0eiHBsSZiaNGii7iVJHCprHrDCmM3endD3lTRjttjYX9JMXkkzhVYV0fPSge4FCA6XNVNWPXT3ROO2SizIYzpRA8xMS2DP4UpvhyF4mocrmHmLeLIeR3SBWm7661UEBGmJnRBNfUUDSrWKSdOSu1fVkuHLVzexf18lpk6Lt8P1W6nZCRw4Uuu26xdVtnZnagen0GkD1BSesFbvWKNWKdlZUMaVy2d7OxTBwzxdwcxbRLIeZyRJ4qd/vHTQ12cuyebNp77gw5e+octHFqPwNwFhwdjqO917kxHMdVdrVKgUY7sRzWK1oVErsQ/bnCEI/mls/wULIxYcquf6ey/g5e//wGW/PBOVWqz3OxLhsSHsPVTj7TD6CIkOptk8tj94RYboOWtuOnMykrwdiuBp42TqlkjWwoAMYXquvvNcpi9IG/5goVdLfdux1ex9ha/F4wb1zR3kTIyjsm5sN/cL45dI1sKQZi/O8HYIfkWlUaFQ+taAlerihjGfsO2yzIsffU9QoFhkRhibRLIWBiXLMmv/+om3w/ArE2emYLf5VmI0d1mZHxaFVjm2uzTUaiXBgaIAyngjcWyQ2ag2b38DDhIDzIRBSZLE5KlJ5G7MH/5gAaVKQX5Rw4gGf3lCZ4eZgg1HyMmKZZeqA6uDT9mGkAAS0sNpwkyQQoVKVmBusVByuA5zl2dWehuJyBDX11UX/MA4WchDJGthSOf/dJFI1g6KjA+lwux7SaxHU3UrSekhHB1mGpdCKZE2N57vasopretfuW6iMYi6Gvet7jZaaUlR3g5BENxGNIMLQzrpjCxiksK9HYZfaG3s8Om+YWNk0LCJWqdTETA1mK015QMOks2JjPLJRA2QnhLt7RAEbxCjwQWhuyn8wp+d5u0w/EJSRpxPNYErVH3/vNW6octwTs6MRpERQEXr4Mm402YlPvnYUpP6IA0Zs+LImB1PXGKIVzsApyRGeu/mgveMk2QtmsGFYcWniuZFR1h8bABX+NWTUMgSda8dxtZlQxmgggEqk07KjKIt2M6epnrMrUM34x9uaEBSw6STwomQdOQ211DR/EOJTy3MmB9L+c5aukxWN3xHQyutaSIhKsTj9xUETxBP1sKw3LE+9lgTGhnMkZIGb4fRh9IusbW5ivgLJhC3MAFTVt8BWOGRQWTOTWCXpY6C+nrMNsf622XgUEMDW+orMFn7JuXcmipsU7RkzIhDo/Hs28u+o1UevZ/gG5waCe5kqVJPEk/WwrD0hgBvh+CTopPCCUuJQkamtrGj39KU3pBwVgpylJb2TdUo7d37NlhqIAJSbMee/DNnx7OlqYKj9a6Pub6jg3o6iM82EFkrUVbaBLi/hbywot7NdxB80jhZdUska2FQuRvz+fNtL9PW4uY6134oflI0jSio9LHSotZYLVuaq2A60HbsSVOnUhFtDyDq5EBqLZ1saawY9BquUt7SQrkWoqYFERWoJ6hLiV0nYcFO2fZqzGa7S+8n6oKPU+MkWYtmcGFQMxamc8lNZ2Dp8nz/o68zxIXR1u579bbV1QPHZLXbOWJt5vuaCgobPbs+eU17O3tra9jaUsn3NRXk1lQROiMMfZBrq411WcXvqTB2iWQtDOnCn53ORT8/3dth+Jx2k48uIRo8cGOZ1W6nrsN31iU/WF+PYkoA4ZGuK2RyqLQW2YenzgnuMV76rEWyFoZ1zV3nejsEnxI/KZqyymaP3jMjOYRJkYH9tqzM2D7HlQf63tP+YMpaWlCkum7wYlV9K60dXS67nuAneiqYObP5AdFnLQxLo1WjC9Rg6vCfROBOoTEhlB6p89j9wsKDOLzlIFbzwM28obMm0/jDQLHQ79og3WOhOa2mvb134Fl4pJ6I2GDsdqgqaaK1xTTi6zW3dWLQi9kLwtgjnqwFhxjCgrwdgk9IzYrnYHmTR+8ZFKzFZht4MJYuSIf5uBKndfvridH7T43slq4uwuaEkTAvikJjB993VLPdVE1nioLMeQlMzoomMTXM4eu9u3GvG6MVfJIoiiIIx4REBFFT5lvziD0laUosgTFGzBY7h4s8Pz3IqNdQOkiyjp0Sx9EGE8EJwQSnGpGS9ey1NXk2QCcNNOCtvqOTLR0/1CVXwkmnxFO0o3rYYivtnaIZfLxxtt/ZX/qsRbIWHBISHuztELxCoVRAiJ79h2q9FoPJYidtYSYgI0kSsgzSD43HSp2K5OXJbLXUYbK2Qodv1u121vfVFcRmBDPFGsjBvMGLn6w4NcuDUQmC54hkLTjEGD7+msEz502iuL6DolLPTnU60aGD1YO+JqkkyqbZHK4+5s8qW1tJjBr8Q2OAVk1GSowHIxJ8wjiZZy2SteCQc65ZQPqsVGxWG1aLDWQZm12ms82EqcOM2WTB1NGFqcNMV6eZrk4LXSYzkXGhFB6ooPyobxUPGU76nAmUNXXS2ubbzar6yEBkf3m3cZJBp6Xh6OCj8C9bOhOFwj9G9gou5Oz0Kz/58xHJWnBI2vRk0qYnj/g8u93OFTN+74aI3EsVqKWpzLPTs0ZDd3Y8lsbBn7zHikC1msmykcNVg3+vmaliiUxh7BKjwQW3OrSnlM523346PZEkSdj9pGpbB2O/+TtSrydHG87hfYMnarVKydyskX+YFMYAD48Gf+SRR5gzZw7BwcFERUVxwQUXUFBQMOx5GzZsYNasWeh0OiZMmMCaNWtGdF+RrAW3evTmF+nq9K/52ckZcez1wqjv0Wh/7ggLAsd2P21ch478XZVDHhMfaUSnGXq9bmGM8nCy3rBhAzfffDNbt27liy++wGq1smzZMtrbB18Up7CwkLPPPpsFCxaQm5vLPffcw2233cZbb73l8H1FM7jgNrIs01Q3wALKPmzKrFTqTFaQ/KPvUwLqPilGsViHfQyW2pTobukYzuKZk9wfjOCTPD1169NPP+3z9QsvvEBUVBQ7duxg4cKFA56zZs0akpKSWL16NQAZGRls376dxx9/nJUrVzp0X/FkLbiNJElotP7zeTDz5Ckcqm6lrsF3amg7wlRvIi3E8cIh/iIrIpKTgmMdWk1L4ScfrgTf1dLS0mfr6nKs+665uXtsS1jY4H+DW7ZsYdmyZX32nXnmmWzfvh2LxbF1BkSyFtxq2ilTvB2CwzrtMjab/z2dKjQKDLL/fChyWJWF/NwKig8PX9p1xpR4DwQkjGWJiYkYjcbe7ZFHHhn2HFmWuf322zn11FPJzs4e9Liqqiqio/sOgIyOjsZqtVJX51jp4jH4Fy74knnLctj4/k6nriHLMsmTu/tlSw67Z+Rz2uxUDhTV+03zdw+tUYN9ZTzfNY29EeEdbY6NddBqVEydFOfmaASf5aJ51qWlpRgMht7dWq122FNvueUW9uzZw6ZNm4Y99sTunJ4V4hzp5gGRrAU3W3zBLHI35vPFf75z+BxdoBZjWCABei1anRqb2cKhXcUEBuvInJFEW6uJksOjn7edPTuZjnYzRw8cG7TUbMPvEjUSBK9MYdsYTNQ6lQqrdeASqycy6nUE6ly7NrYw/hgMhj7Jeji33nor77//Phs3biQhIWHIY2NiYqiq6lt5r6amBpVKRXh4uEP3E8lacCtJkrjlkUtJzYjjpcc+wmqxYhviTViWZRJSwjiUW9TvtY5WE/u2HgIgMFiHITqU6tLB65XLstznU6ssy+TMSWXvtwdJnXpsmo9SpaB5FCs8eVviZVPYOAYTNUCwVoNOp6DFgWPrm9sxdVnQacVo8PHI0wPMZFnm1ltv5Z133mH9+vWkpqYOe878+fP54IMP+uz7/PPPmT17Nmq1Y7+3os9acDuNTs2FPzudv33wf7ya+xAX3rCYwKD+TUyyLJM9J3XARH2ijlYTDWV1pE9NIDW975rOyVOiSZoQQYhRy6TsY32ZmTOSyNtcgCzLmI9bbjIqIYx2P1z+s3VrDYuUUSSN4GnAX9S2d2CKVxIYOPwTs80ui3WsxzsPrrh18803s3btWl577TWCg4OpqqqiqqqKzs7O3mPuvvturr766t6vb7zxRoqLi7n99ts5cOAAzz//PM899xx33HGHw/cVyVrwmNSMOIxhQaRNSyJxYlS/1xMnRrF/y0GHr2c2WTiw7QhHdxcxOSuWyVlxRMcEU1ZQQfGBcppqW6kvqydrVjLhEYEc3FmIQqkg46SJNNcfmxOpUPrnn0HT0SZK/nuIRDnQ26G4RWlzM1K6jsiYoevSq5QKdh0q91BUwnj39NNP09zczOLFi4mNje3d3nzzzd5jKisrKSkp6f06NTWVjz/+mPXr1zN9+nT++Mc/8uSTTzo8bQtAkuUxODlT8GmyLPPLZY/QUN9OU0M7CamRBBu0FO0ro7XJvdOmck6Zwt7txf32Zy7KYO9B/6pfDhAYFUjBQi1Wu2P9u/4oLCAA9ncOOFJfkmBWeiJ/++UFoijKONPS0oLRaGTSXQ+j1OpGfR1bl4nDj95Dc3PziPqsPU30WQseJ0kSKZnxlL23g1BjIEV5/ZOnG++ONkBNV2ffuY1tlU0oJHBgSq9Pkf0tYAcZdVqmWoPoClDQqYUqVRe2AVYWu+qs2VywMEck6nFMrGctCG50zW/PZ91/ttJRPvgAMXfI21xAeGwIRoOOiLhQOlo7kSQJQ7ieVpWK+kY/K4jSaGKyMZYDjf5RHtVR2VIwFU9uA0CpVXLS6el8J3VgOa4h8Orlc7j1kgXeClEQPMo/O+sEvxceG8JFv1jqlXvXVzZRXVLHvq2HKNxXxtG9pTTXt/pdog6bEkbQTyaOuUQNsNVUT8RJ3dNhbF028j/Zx5T8FtIDu/uv4yONXH/ePG+GKPgKD9cG9xaRrAWvKT1U6TPrD1cX1RARGkB6ahiRYV4asCVB5PQoZEATrEGt727aVWj6/5nGnhxHbo6dPY21Hg7SM6L1ehr39p2WVl1cT927eznVouOyxdMIEFO1BI41gzuz+QPRDC54RX1VE1s/3YOvjG/saDXRkXsEW0Qw0TnJ1HqhPnjC5VP4prOakMxomkwmjDotBrWWNouZNG0IioNt1O2uIfKiCew2N2A3+8bPzhWyjeGEH+mkdWIgO5vraDWbCdWrsXX0r5t8cEMBv//z5V6IUvBJLqpg5utEsha8Yusnu30mUR8vLDOJ/EL396OHZ4ajOSmCqlcOknj+RJCgRmeFTmgydRdoaTZ10Wzqnj+81VQF0aA/x8jBtqqhLu2X9jbXs8gQQuvqnUyPNRA0JZzGQY5NmhJLeEyIJ8MTBK8TyVrwis0f53o7hIE1tZKeGobVJqNVKzha3kynyTr8eUOIOSkWTbyeqjAbFrsdjULJ9sZ6aKliwtVJbGiu7f50P1h2Ok67gyv0+KOuMDWSpKD1aCOtRwf/YUTEGD0YleDzxJO1ILhHW3MHezYVeDuMAR3dU9Ln60kzU6hV62hq6RxV7fCYObFsTehApmPAZHy0uWmUkY4dEQEBxGkC2dfZTPrkcBp2D91yEGgI8FBkgj8QU7cEwU062/ynDvfhnUUATJyaRK2spKXF5HDSNiYbOZIOcvvwx45nbRYLWpWC2GeO0jBAH/WJzCb/Kw0rCM4So8EFjzuSV4o2wL9WSTq6p4S2vUVMCFYRGzV0+csewWmh1LT713QwbzBZrWxrrSX6tOEXRACGXLxFGIfGydQt8WQteJSpo4u//epl2ls6hz/Yx8iyTOHeUiRJYmJOIrrgAMwqNYdOWAdba9QQemEqe8yN4D+NCF63baJMWnIIbcVNQx5XVVLfb0U1YRwTfdaC4HqfvbqZ5rpWb4fhFFmW+/RtJ6XFYowP42hlK+2dFvQXp7ClceyN2HY3k9VKoAPJurO9i8aaFsKixUAzYfwQyVrwGIvZyn///pm3w3C50oJKSgsqmTgtmab4ULY3js01pt1NKUm0HBh+MZUgYwCGMMe6IoSxb7wMMBN91oLHfPnGFuoqHJif5KeO7i2hY2EoSoX4sxqNU7uMdNYOPxpv6Y/molIrPRCR4BfGSZ+1eFcRPMJqsfKfJz/xdhhulXDtLPY11Y/p5SrdZYE6nNJncxmuF3rhihms/PkSj8QkCL5ENIMLHtFU14rF3H+Jw7HEbtQcN09LZtXCNo42aXhlj9arcfkDe179sIn6hvsu4KKfne6ReAT/MV6awUWyFjwiIjaUJ7+4h8dvfp6d6w94Oxy3UFR1QLTMVVPNXJN9mATdRmSU/N/sVOyyity6DHZWGYkI6K6IFqC289uvDITooMk08pHNSsmOTZZg2DTn26Yaw2nK2z/kMWkzklnxk4UeikjwK2I0uCC4VntLB2rN2F0pKUzVwfafbCZIsa93n4QNHYdBglMi8zklsu85510XwqelZ3L752GDXnduvJ0mEygVMC/ewv/N+oiyjkwSA/fwdN4K/v69/1b0UkoS8ksFmGqHno9+8Y1LUGvE25UwAJGsBcF18r49yN0r/4bVMnabwq8462ifRO0IhdxES5cKkHnqrHru2xDGk8sqUUiQbKgkSFWPxR6IRtGKjAoNNUhyK8kB1SDDTdkvMTXqQm74MNo935Qb6NVqgjXdXQMpUgC1FUeHPSdpSoy7wxIEnyaSteARUYnhaLTqMZmsTzotgFOXS2TlfDOq8y+YuJXUkGzmhr/HkWnXMDv8/T6va4cYBiohExPYCvhHslZKEjOLJCreywNguNW4dYEall06j8RJ/vH9CZ7nbEeQv3QiiWQteER0Yjg/vv1snv/D294OxaWu/FUQl1//oVPX0HGEueFHAJgfVzfi8/Mbwp26vyfpVCpa9gw/l7qH2WRh5Y2ni2plHmK321H429TDcdIM7mf/KoI/mzw92dshuNRJpwVw2fWfu/SaU0M+GvE55ya9zWNn+Mf89U6rFaXW8TnSp104m6j4wfvzBed0tneNydausUgka8FjktPiyJ432dthuETSZA2r/r4JCe+vACVh5vSEPG+H4RCjVkt7SYtDx06dP4nrfn++myMa3wL02j4FZvzuqZpjU7ec2fyB//3LCH4rLNrIsitO8XYYLnHqcg0SvlHjXEbFlR+c6u0wHDI1MJLouUlDHqNQSOTMm8Sdf7+G0EiDhyIT/NY4qWAm+qwFj4pOCCMoJJC2Jv9eOtJq8Z2/cFkKQunjH7vDtAFM0IewI7+MmNQg+HrwY2/906WcdfnJngtOEPyAj/+JC2PN5Okp2Py8j+yG3+n5yc0j71t2F4XcxKoFZd4OY0gJgcHs21+JzS5jtg1ejlWpUnDSGdkejEwYE8b4UzWIZC14mEIp0dne5e0wRm3huYFccNlGb4fRzyTjUXQqH33nkaG95tjC3g3tHUTeOIekczIIS49CUkq975tX33EOYVGi6Vtw3HjpsxbN4IJHHdpV7O0QnFJVYvWZvurjBUoHuG/hDO5Z53trPEcGBFJfdmw1LZtdZndNHWiBTD26aUa0ahUpxmAuvkks0iEIAxFP1oJHHdlb6u0QnHLTKqu3QxjU8uQdvHJ+BTuvXc+tJ3V6O5xeEwND6bIO3vVhslhp7jARHx/ul6ORBS8TA8wEwfU2vLPN2yGMikot8+LX7YSG5Ho7lEEFSAXMCS/ATBJrtuu8HQ4AaknC1OrY9LZfLJ/v5miEsWi8rLolPsYKHpU5Z6K3QxgVq0VCrelCwvcHx2ko4avLd3s7DAAMGi02B9f3XrfnsJujEcakcfJkLZK14FH1Vc3eDmFUHn1VTXCgfxQeATjYFOvdAGSYFhpFMgaKqhyrrlbb3ObmoATBeRs3bmTFihXExcUhSRLvvvvukMevX78eSZL6bfn5+SO6r2gGFzyqqc6x6lW+5JeP6Mme9qm3wxiRTqvjJT1dyaDWkBkcQU1VKwcPOF4DHCD3aIWbohLGMk83g7e3tzNt2jSuvfZaVq5c6fB5BQUFGAzHZjpERkYOcXR/IlkLHtNY08Lh3SUAqNTKYWsSq9RKjOHB1Fc1eSC6gQUZFSxbscEvmr+PZ3JXspYhLiiIIKUGOxClDMDSZcOmAxUKSosb2V068qQbotfxo1OnuT5eYezz8EIey5cvZ/ny5SO+TVRUFCEhISM+r4dI1oLHhEYZeHrjfTTWtJCSGc+zq/7H3q2HKNxXjkqtxGI+NtJaqVLwq9VXkzF7Arec/qBX5mYHBkms+agFCf9rnk0NaQFCXXa9mIAgJmiNVFQ3U32kjZ6G7XInrqnTqDhpciLz0pM5e1Y6oUEBrghVEEalpaVvq59Wq0Wr1brs+jNmzMBkMpGZmcnvf/97TjvttBGdL5K14FGR8WFE/rCK0k1/ugyAzjYTGp2ajlYThfvL6GzrYkJ2Qu9xL+/6E5+/thlzlwW1Rs2bT3xCa2P7oPdwllYHv3wkkIVLt6KgwW33cae7vkp06ny9Ws3k4DDkVjt2m53SsmZyLa750KLXarjl3JM5f24Wep3GJdcUxjEXPVknJvb9m1m1ahX333+/ExfuFhsbyzPPPMOsWbPo6urilVdeYcmSJaxfv56FCxc6fB1JlmU/GQsnCN32bC7gzvP/4pZr58zV8Yd/HUSrOuqW63tKfuuZ/OqLFIqaHB9DGqKTuSjdzNxoC/f/L5KmdtfP1Q7SafjHjRcyfUKcy68tjC8tLS0YjUamXfMwSs3opyrazCZ2v3QPpaWlffqUHXmyliSJd955hwsuuGBE91yxYgWSJPH+++87fI54shb8TmpmAlEJYdSUue6pV6mE1e8qSUwuQKMoREYPyEh0LzjSZJpNSU0s2UlbUFDnsvu6S3rwZ7x/UQp3rF/K50f7/pnrVDIRgVDZKmOTJSaHwb+W7yVWuxkJGRkFF866hhc26ogLkaltAYtdcjqm8OBA/v7z88lKinH6WoLgagaDoU+ydqd58+axdu3aEZ0jkrXgd4JD9dz/6i3ctOgPLrvmlHOn8tRHHezKTyXUKKHXgT4AAnQyiTF2zBb4+BsVybEXMiXZzrkLa0mJruRIRTyx4U3Eh6x3WSyuoqaMSH3/Oc7/N6+dlZO3Y5eVgIxeUdKnhKqEnVtPfZ2bTg1HSTWg5O4PruazvMHfLhIjjNjsMhUNg4/2z0qKFolacD0PDzBzhdzcXGJjRza9UiRrwS8V57tmmk/K4gyaI4PZVt0Ejd1NxnWNHPfsLLFj/7Gm5OJKieJKJV9sjQF6Ek8Up0yfyBnzWpmSWEdi6DqXxOYsCSu3zszl1byTgO4n42SjTINJRaB0oGfXIOeaUFGOjERh82I+zxt8dPkZ0yZz+/mncuPT7wwZz7ZDZewrqRIJW3ApSZaRnOjNHem5bW1tHD58rIBPYWEhu3btIiwsjKSkJO6++27Ky8t5+eWXAVi9ejUpKSlkZWVhNptZu3Ytb731Fm+99daI7iuSteCXKotqnTpfpVUT/6OT2FtcC9VNTsezeZeSzbtCgBBefEBFW6eW4MDuPt/w4DpAorAqganJHyJ58KN8sKqUb69WoJDsKLARrDyIxNB90XZC2VGxiBc3RyFL4ewsbEXGxrSUWGZNiqe5w8Rb3+7tPX593hGmT4ijobUDvVZDSJCOxIgQggO0yLJMl8VGc4eJUzNTRKIW/N727dv7jOS+/fbbAbjmmmt48cUXqayspKSkpPd1s9nMHXfcQXl5OQEBAWRlZfHRRx9x9tlnj+i+YoCZ4Jd2btjPPStXj/r81NMyyLN5fu70qp83c/q0j31y5a4eT2y8lqKmTOalJ7MoewI7D5fT2N7Bj0+JpMvcjkY7mW/zi9l8oIh5acmEBweSlRyNUlKgUAz+uG612VEpRdFEwTV6BphNv/IhpweY7Vr7O5qbmz3WZz0a4sla8EvTF6Sz8PzZbHxv+6jOV8eGQFm9a4NywAP/MvJE8I958+FvCFCOrNygJ1iJ56v9Op66aSEpUaHUt7STV1LFjAlxqNSJqDXdyXhxzkQW54yszrtI1II7iIU8BMGHKRQKEiZFj+pcnSGAgnrvPdk2tUp89O1sr91/KAqpi/mTzfzm+Q/ZU1hJWHAgd198GmfNTEOSnB8RLgguN04W8hBP1oLfik4KH9HxCrWCCcumUhugoq7GuzXK//dVACsXqJDwofWxA69EGXQLd17cCKoUVAqFSNCC4CNEshb8Vm25Y6s59UhZmMGu1g58obs4Nc7uO4lalYYUdDtoT0aStKi1Yd6OSBAcJprBBcHHLb9qAUEhgQ4fr4oxujGakTlSpsDG6JrxXSp4FVL4e0i605Ak19VBFgSPGSfN4CJZC34rPDaEtJmpA76WODkGxQkDmio7Pb8YyGBqG2Rsdr3nbigFQcBFSCH/RAp5GinoDtCcDPZK5KZbPReHIAijIprBBb8WHmNEG6DGYrYRGKxjwYpZrLx5GbEpEZQfreGlh99l84e5qLRqmttM3g63l0Ih0dgeR3Swm2uQa04B1KA7G0XgBce9sATkG5Bb/4ikmePeGATBjcZLM7iYZy34NZvNTntzB5IkoQ3UoNGq+7xu6uji7w+9w/b6Fsq9PKjsRHFRMq/e/yFKKt1wdTUEXAQBPwIUSOrJSJJY4UoYO3rmWc/6kfPzrHf8x/fnWYtmcMGvKZUKDGFBBIfq+yVqAF2glt1tnT6XqAEqaiSuf+RcF19VAt2FSJFfoTD+EYUmB4UmSyRqQfBzIlkLY95p86d4O4RBHSmV2FOyAnmoQt2OUkQghb2BIuRRJKUo6ymMHz1N4aPZ/IVI1sKYZ7Z4vqzoSHy0KdIF9cI1SEG3IWlmuCQmQfAbsuz85gfEADNhzPt43d7hD/Kin5x7ePiDhqKIRwp9Ckmd5ZqABMGPjJcBZiJZC2Oa2WLF1GXxdhhDqms2YrWdTlW9EYPeRKCuC4VkJzZkNwqGKPyinNQ9HUt/JZI0+gE2giD4PpGshTFt87YjdJp8O1nf/MjAi9C/cL+GiVGf939BCoCAyyDwWhQqHyisIgje5GxhE/FkLQje9833TjYxe1F8eHH/nZoFoD0DKfBSJEkMOREEyd69OXO+PxB/7cKYtmtfmbdDGBW1Sqa1M5z7nr+O/3xzJTLK7kStWYJCf5lI1IIwzogna2HMkmUZna7/3Gt/YLFKrLwzG4D12wM5fdYcwqW9KIJu9nJkguBjxkkzuPh4LoxZW3MLKSlv8HYYo6ZSKbjknJlMy0zgT68soUH5AZJmprfDEgSf4swca3+aay2erIUxqdNk5k9PfebtMEZFo1aSlRZHZXUzZy7KpL6xjR+fv4jIiChvhyYIgpeIZC2MSUqlgvYfVtnKmBRD2sRo9hZUcLio1suRDc9ssdHW3sXk1CjKqpq471fnoFIpvR2WIPgmZwubiKIoguA9GrWKV//+U/YdrOS0+VOw2bv/oLfsLOTuP73r7fCGdaiwhsLSOq6/7BSRqAVhCKIoiiD4uegIA9ER3avoqJTdtbfnz0xFH6ihvcPszdCGFWIIYPlpWUxMjvR2KIIg+AAxwEwYV5RKBQE631+BKiosiMvPF+tMC8KwZBdsfkAka2FckSSJ39+2HMkFi1wNJdIQyOy4SLLiIwCYlhjJ7JgI5sRHEaDp26A1OSaMjMAg0gP0BFebMNR2YSlsIjRE794gBWEMEKPBBWGMmpWTxGnz01j3bYFrLyzLIElolAoirQr2by8mJj4ElVJCg4J9OwsBiIwyEJwcQXVLBylBeg7uLsVqPVZGyWgIJNgQyKH8SianD1yKVBCEH4gBZoIwNkmSxGXLZ9Ja0oi53YxCqeBIezutnSYAAjQaOrrMOPr4rdepyYwIpehAFdFxRmqrmilqrgGgqryJ6bOSKT9Y03t8XU0LdTUtAOynrt/10jLisFrt5O0qFslaEARAJGthnPrbwx9QdORYAg0I1JAYpKOpsR2rpZNJiWGExhjoUkC72UJjh4mG1s4Br5URFca+rd1PzUcLqvq9vn/HADW+h/D9t4eJjjGy/NEfjeg8QRiPxGhwQRijrFYbVRV9l57s7DDTedwI8YrSBipK+1Y/mz0vlaq2DpBApVDQ0tFFQ7uJOlOXy2NcvDSLgADfHwgnCF43TsqNimQtjDutzZ10jWLZzP0/PD33UCgl5sxOobOpk5pBzhmtmXMnuviKgiD4MzEaXBh39EE6oqKNTl/HbpPZ913hgE3fzvr43Z3Y7X7ykV8QvGi8jAYXyVoYd5QqBTFxId4OY0gqlQKFws3zywRhLLDLzm9+QCRrYdzZsrGA3Tu7B30plcf+BPRBWm+F1M/33x7GNIqmekEQ3Gvjxo2sWLGCuLg4JEni3XffHfacDRs2MGvWLHQ6HRMmTGDNmjUjvq/osxbGjcamdl7+z1bqShrInJGEpFRQZzIRrg9AkmUsyKgsMrUVTdRWd0+tUioV2Gz2Ya7seuYuC1s2FnDasmyP31sQ/IqHB5i1t7czbdo0rr32WlauXDns8YWFhZx99tnccMMNrF27ls2bN3PTTTcRGRnp0Pk9RLIWxoXX3/6eDd8eZP/Byn6vFdPc52udRkX8tDi6rDaMAVp0CgWyxU7pkVpaWwaevuVqhpBAJkyO9si9BMGfSTg5dWuExy9fvpzly5c7fPyaNWtISkpi9erVAGRkZLB9+3Yef/xxkawFAaCjw8yWHUcpKqnjlf9udXjAlsls5Uhl99SusuP2h0boiDXoqCxrHPhEF9JoVJQU1ZK/r5wzz53u9vsJwnjX0tLS52utVotW63zX2JYtW1i2bFmffWeeeSbPPfccFosFtVrt0HVEshbGnM3fH+ZwYS2vvf0dnZ2u6/dtbDNh1qmJzo5BoVBgQEHBnrLhTxwFY0ggB/LKSEyOcMv1BWHMcFG50cTExD67V61axf333+9EYN2qqqqIju7bShYdHY3VaqWuro7YWMeqFIpkLYwpn3+9jwf/9rHbrt9ustBuOtZsnj4zkY6KFmqqmoc4a+TiE8Pp6DCz6Iwsl15XEMYaV1UwKy0txWAw9O53xVN17z1OKF0s//AB4cT9QxGjwYUxwWaz88lXe3n+9c0evW9+WR3twSqyZqf0GVnurKKjNWRPTSJQ7zsj1AXBJ7loiUyDwdBnc1WyjomJoaqqby2GmpoaVCoV4eHhDl9HPFkLfs1qs7P2v1v58PM91NS1eiWG+uYO6ps7mDU7mUO7SjF3WZ2+ZntbF4uXiadqQfB38+fP54MPPuiz7/PPP2f27NkO91eDeLIW/Fh7Rxf/e38Hz7+22WuJ+ng7CquYOD1x+AMdEBYRhEqldMm1BGEsk2TZ6W0k2tra2LVrF7t27QK6p2bt2rWLkpISAO6++26uvvrq3uNvvPFGiouLuf322zlw4ADPP/88zz33HHfccceI7iuerAW/Y7fLfPb1Pl596ztKyhqGP8GDDlTUkTkrecQrbR1PoZCYv2CKC6MShDHM/sPmzPkjsH37dk477bTer2+//XYArrnmGl588UUqKyt7EzdAamoqH3/8Mb/+9a/5xz/+QVxcHE8++eSIpm2BSNaCn7HbZcoqGnnt7e99LlEDmLqs7K9uYEJazKhqhoeG6UnPTmDeqSJZC4IvWrx4ce8AsYG8+OKL/fYtWrSInTt3OnVfkawFv7L+2wL+9vSXGA0B3g5lUCazlVJVJxlzU5GsdsydFjrburCYrSiVCmqrm7FaB/44HxKqZ/6CKWLKliA4aDRN2See7w9Eshb8xvc7C3l49SeYzVaaWz1TSWy0WjvM5BYee7JWSmCTAZtM/JRIGvNrBizSUnikBovZ5sFIBcHPifWsBcF3lJQ18Nc1X2A2Oz/S2htsP7whhBgCCOqy06xUYLf3TcrZ0xK57qYlZE51zSA1QRDGDpGsBZ/36bq9PP/at1TVuLbwiDcEt9koru5brlQXoObm/1vOsnOmjahIgiAIuKyCma8TyVrwaVU1zfz3vR1jIlEPJCrGyIN/vYyUCVHeDkUQ/JKrKpj5OpGsBZ/V3tHFK//ZyqHCGm+H4hJKhUSX6VgzfnRsCH9Zcw1R0UYvRiUIgj8QyVrwSQWHq7jpztewWMfGYCtDoJbJkSHUlTXS0tQ96vvRv18pErUgOEs0gwuC93yxYf+YSdQARr2OI3XNtMoWZs6dwHXXLyIuIczbYQmC35Ps3Zsz5/sDkawFn/P629/z3/d3eDsMlyqtPdbnPvf0dDJzxIhvQXAJ8WQtCJ730hvf8uIb3/rL38+InTp3EpecN8vbYQiC4GdEshZ8xnuf7OL51zeP2UQdGKDh/25aKqZnCYIriaIoguAZ3+0o5M13t7F99+gXv/AHl104h/DQIG+HIQhjiig3Kgge8tKb37I3v8LbYbhVkF7LxaL5WxCEURLrWQte9epb33HgYCUAsdFGYqIMaDX+9RnyzNOyhj1mxbKp6AO1HohGEMaZngFmzmx+wL/eFYUxw26XeXbtN6z933cALJg3iT/+9gIUCol9+RU88cxX5B8e+RKT3rDo5Cls3X60z+IiyYnhlJY39C7WseLMad4KTxDGNhnn1rP2j1wtkrXgHQqFxKKTpzAhORKVWkH6pBgUiu6BV1npcTy2aiV3/fHt3qduX7Zxy0H+9ZcrWfu/7yg4XEX6pBiWLs7kvU928dU3+czISSIhLtTbYQqC4MdEsha8Jm1SDGmTYgZ8LcQYyF8euIRH//4pG7496OHIRiY3r5RTTqph5bkzCdCpiYo08Ozab6is7p5bfc7SHC9HKAhj13gZYCb6rAWfFaTXsuqOc/nFTxahUvnur+qPL5zDopOnMDElkriYEFRKBQePVLP/YCVpk6I5fUG6t0MUhLFLxsk+a29/A47x3XdAQQBUKiWXXXQSN16zyNuhDGjBvMlMz+5fjcxisREYoOGBO89DpRR/ZoIgOEe8iwh+4ZLzZvHLny3p/VqjVvb2cXtTVGQwscctxiHLMt/tKGRfQQW33XA6cTEh3gtOEMYDMRpcEHyHJElMTIns/XrluTOZMjGaR//+GaYui1diSk2K4KqL5xEYoOndd89D77L5+8OceVomy5dkeyUuQRhX7IAzn9vFQh6C4Fo6rZqs9DiuumQeJ8+ZCEB4WBC//N0bXvlw3NpmQq/vnjtdVdPM5u+PsHXHUaIigvn1z0VZUUHwBDHATBB8TPrkGJ5+7IreRA0wPTuRC8+e4fFYZk1LYu3T1/UWcHnx9W954pmvCNCpeeh3FxIYqBnmCoIgCI4TT9aC3/v5NQuJjjJQVtHIx1/uxWZzX7vWSTNSWHxKGhmTY/o0fwcEaoiLMfLw7y5kQnLkEFcQBMGlxBKZguAfAnQaLrvwJAAWn5zG5+v3UVXTwt4D5djsrvtDnJgSyZ/uW9lvdHdTcwclZQ2s+fOVhBgDXXY/QRAcIJK1IPifOTNSmDMjBYCikjp+/pu1dHY6PwAtOEjHopOn9EnUDY3tPPbUZyiVEvfefo5I1IIguI3osxbGrJSkCJYuynTJtSamRDI1M6H3a7PFyqrH3icxPpRVv1khErUgeIuYuiUI/u//frGUnIx4nvz3OlrbTKO6RnCQjr/98Uds/v4wXV0W3v1kFy1tJn75syVMSo1yccSCIIyImLolCP5PkiTOPC2LOdNT2LWvlBde/5bi0voRXcNqs7FtVxEHDlbxwuvfcvuNZ5Bz3FO2IAiCu4lmcGFcCAvVc/qp6Ty3+mrOWJgxonN1GjWNTR3odGqeeOhSkagFwYf0zLN2ZvMHIlkL44pGreKeXy0nLsY4/ME/aGzuYMfuYn50/iwMwQFujE4QhBEbJ33WIlkL445KpeTKi+c5fPwZizL43a/PJkAnCp0IgtDtn//8J6mpqeh0OmbNmsU333wz6LHr169HkqR+W35+vsP3E8laGJdOnTuJ5MRwhqsIGqBTc9v1p4vSoYLgq+yy89sIvfnmm/zqV7/id7/7Hbm5uSxYsIDly5dTUlIy5HkFBQVUVlb2bpP/v737eYm8juM4/nLH/aqtO7O7mTNDDNrBJn8sJLuEYyXR1By8tJcQFmRh10DpZkLYKSRYKFk8FIanZbPjLEGtS1lIEl5CjOgPiB1EkfWwUwf9pt9PhwXL1R1m+47O99P3+YDvwe/M5/v9eHBevt/z+cy0tZV9T8IaoXQm9pS++Oyqrgz06myJbVdvvtbBtiwgyKrQBr9x44auXbumoaEhtbe3a2pqSqlUStPT0yXHNTc3K5FI7B2RSKTsexLWCLWrl19W/uaIhq/0Hfp4X0/5//kCqAa/Qf0wrIvF4r5je3v70Lu5rqvl5WXlcrl953O5nJaWlkrOtLu7W8lkUtlsVgsLC0/0WxLWgDFa3ygeOF1fd1LnO56twoQAHLdUKqVYLLZ3XL9+/dDn3b9/X7u7u4rH4/vOx+Nxra+vHzommUxqZmZG+Xxet2/fVjqdVjab1eLiYtnzY581Qs0Yo+mbP+qru78ceOxS/4ssKgOCrkKfDV4oFBSNRvdO19XVlRz26DoWY8xj17ak02ml0+m9nzOZjAqFgiYnJ9XXd3hX71GENULrjz+39OEnX+vnld8PPNZ4qk6Db5e/YhxAlXj/tLL/+3gpGo3uC+vHaWpqUiQSOVBFb2xsHKi2S+np6dHs7GzZz6cNjtC6+8Nvhwa1JI29m9PpxvrjnRCAwHMcRxcuXND8/Py+8/Pz8+rt7S37OisrK0omk2U/n8oaoXX2zMFV3rW1J/TeSE6vv/JCFWYE4IkZ7+HhZ/wTGh0d1eDgoC5evKhMJqOZmRndu3dPw8PDkqTx8XGtrq7q1q1bkqSpqSm1traqs7NTrutqdnZW+Xxe+Xy+7HsS1gitR7dsPX3ulCbef0vn21lUBlijCt9nPTAwoM3NTU1MTGhtbU1dXV2am5tTS0uLJGltbW3fnmvXdTU2NqbV1VU1NDSos7NTd+7cUX9/f9n3rDHGks9aAyrsm+9+1ceffitJ6ng+qY8+uKSmc41VnhWAchSLRcViMb2RGlHtidKLwUrZ8bb1fWFaDx48KOs962qhskZoNT9zWsl4TH2ZNr0z+Kqck/w5ANap0AKzoOPVCaH1Uvdz+vLzIdVGWGcJWKsKbfBq4FUKoUZQA7ABlTUAwF5GPivris3kSBHWAAB7haQNTlgDAOzleZJ87LP2fIw9RrxhBwBAwFFZAwDsRRscAICAC0lY0wYHACDgqKwBAPbiE8wAAAg2YzwZH9+65WfscaINDgBAwFFZAwDsZYy/VrYlC8wIawCAvYzP96wtCWva4AAABByVNQDAXp4n1fhYJGbJAjPCGgBgr5C0wQlrAIC1jOfJ+Kis2boFAAAqgsoaAGAv2uAAAAScZ6Sa/39Y0wYHACDgqKwBAPYyRpKfrVt2VNaENQDAWsYzMj7a4MaSsKYNDgBAwFFZAwDsZTz5a4Pbsc+asAYAWIs2OAAACAQqawCAtXbMtq9W9o7+quBsjg5hDQCwjuM4SiQS+ml9zve1EomEHMepwKyOTo2xpWEPAMC/bG1tyXVd39dxHEf19fUVmNHRIawBAAg4FpgBABBwhDUAAAFHWAMAEHCENQAAAUdYAwAQcIQ1AAABR1gDABBwfwMhNw7ha3zcJwAAAABJRU5ErkJggg==",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import json, geopandas as geo, pandas as pd, matplotlib.pyplot as plt\n",
"from urllib.request import urlopen\n",
"\n",
"# A URL para raspar a população brasileira em 2020 \n",
"# pode ser construída pelo Query Builder da API do IBGE.\n",
"# Ver: https://servicodados.ibge.gov.br/api/docs/agregados?versao=3#api-bq\n",
"\n",
"# carrega o JSON, reconstroi daframe e limpa\n",
"data = json.loads(urlopen('https://servicodados.ibge.gov.br/api/v3/agregados/4709/periodos/2022/variaveis/93?localidades=N3[all]').read())\n",
"pop = pd.json_normalize(data[0]['resultados'][0]['series'])\n",
"pop = pop.rename(columns={'localidade.nome':'UF','serie.2022':'Pop 2022'})\n",
"pop = pop[['UF','Pop 2022']].sort_values(by='UF').reset_index(drop=True)\n",
"pop['Pop 2022'] = pop['Pop 2022'].astype(float)\n",
"\n",
"# malha nacional\n",
"geobr = geo.read_file('../data/gadm36_BRA_shp/gadm36_BRA_1.shp')\n",
"\n",
"\n",
"# recupera polígonos de estados, visto que ordenação difere em ambos os dataframes\n",
"geom = []\n",
"for uf in pop.UF:\n",
" geom.append(geobr[geobr.NAME_1 == uf]['geometry'].values[0])\n",
"pop['geometry'] = geom\n",
"\n",
"# cria objeto GeoDF\n",
"pop = geo.GeoDataFrame(pop)\n",
"\n",
"# plota coropleta para população em 2022\n",
"f,a = plt.subplots()\n",
"pop.plot(ax=a,column='Pop 2022',\n",
" cmap=\"viridis\", # Color palette\n",
" legend=True) # Add legend\n",
"\n",
"a.axis('off')\n",
"a.set_title('População brasileira em 2022');"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
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"\n",
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" \n",
"
\n",
"
\n",
"
UF
\n",
"
Pop 2022
\n",
"
geometry
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"
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" \n",
" \n",
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0
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Acre
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830018.0
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POLYGON ((-68.10553 -10.72192, -68.10547 -10.7...
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1
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Alagoas
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3127683.0
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MULTIPOLYGON (((-35.88986 -9.84431, -35.88986 ...
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2
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Amapá
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733759.0
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MULTIPOLYGON (((-50.82570 2.52208, -50.82570 2...
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"
\n",
"
\n",
"
3
\n",
"
Amazonas
\n",
"
3941613.0
\n",
"
POLYGON ((-58.13699 -7.35614, -58.13682 -7.356...
\n",
"
\n",
"
\n",
"
4
\n",
"
Bahia
\n",
"
14141626.0
\n",
"
MULTIPOLYGON (((-38.69208 -17.95958, -38.69208...
\n",
"
\n",
"
\n",
"
5
\n",
"
Ceará
\n",
"
8794957.0
\n",
"
MULTIPOLYGON (((-40.83181 -2.88125, -40.83181 ...
\n",
"
\n",
"
\n",
"
6
\n",
"
Distrito Federal
\n",
"
2817381.0
\n",
"
POLYGON ((-47.93915 -16.05135, -48.02110 -16.0...
\n",
"
\n",
"
\n",
"
7
\n",
"
Espírito Santo
\n",
"
3833712.0
\n",
"
MULTIPOLYGON (((-40.88403 -21.16125, -40.88403...
\n",
"
\n",
"
\n",
"
8
\n",
"
Goiás
\n",
"
7056495.0
\n",
"
POLYGON ((-49.00480 -18.53718, -49.01248 -18.5...
\n",
"
\n",
"
\n",
"
9
\n",
"
Maranhão
\n",
"
6776699.0
\n",
"
MULTIPOLYGON (((-44.54986 -1.88458, -44.54986 ...
\n",
"
\n",
"
\n",
"
10
\n",
"
Mato Grosso
\n",
"
3658649.0
\n",
"
POLYGON ((-52.47143 -16.12672, -52.48842 -16.1...
\n",
"
\n",
"
\n",
"
11
\n",
"
Mato Grosso do Sul
\n",
"
2757013.0
\n",
"
POLYGON ((-54.16836 -23.99920, -54.17063 -24.0...
\n",
"
\n",
"
\n",
"
12
\n",
"
Minas Gerais
\n",
"
20539989.0
\n",
"
POLYGON ((-50.84402 -19.96758, -50.85332 -19.9...
\n",
"
\n",
"
\n",
"
13
\n",
"
Paraná
\n",
"
11444380.0
\n",
"
MULTIPOLYGON (((-48.36514 -25.73403, -48.36514...
\n",
"
\n",
"
\n",
"
14
\n",
"
Paraíba
\n",
"
3974687.0
\n",
"
MULTIPOLYGON (((-43.01208 -9.40801, -43.01453 ...
\n",
"
\n",
"
\n",
"
15
\n",
"
Pará
\n",
"
8120131.0
\n",
"
MULTIPOLYGON (((-47.29792 -0.63375, -47.29792 ...
\n",
"
\n",
"
\n",
"
16
\n",
"
Pernambuco
\n",
"
9058931.0
\n",
"
MULTIPOLYGON (((-35.13597 -8.83792, -35.13597 ...
\n",
"
\n",
"
\n",
"
17
\n",
"
Piauí
\n",
"
3271199.0
\n",
"
POLYGON ((-42.69078 -9.54547, -42.69122 -9.545...
\n",
"
\n",
"
\n",
"
18
\n",
"
Rio Grande do Norte
\n",
"
3302729.0
\n",
"
MULTIPOLYGON (((-35.10958 -6.19375, -35.10958 ...
\n",
"
\n",
"
\n",
"
19
\n",
"
Rio Grande do Sul
\n",
"
10882965.0
\n",
"
MULTIPOLYGON (((-52.07069 -32.02847, -52.07069...
\n",
"
\n",
"
\n",
"
20
\n",
"
Rio de Janeiro
\n",
"
16055174.0
\n",
"
MULTIPOLYGON (((-44.67125 -23.35458, -44.67125...
\n",
"
\n",
"
\n",
"
21
\n",
"
Rondônia
\n",
"
1581196.0
\n",
"
POLYGON ((-62.89219 -12.86014, -62.89212 -12.8...
\n",
"
\n",
"
\n",
"
22
\n",
"
Roraima
\n",
"
636707.0
\n",
"
POLYGON ((-60.03790 0.26349, -60.04676 0.23211...
\n",
"
\n",
"
\n",
"
23
\n",
"
Santa Catarina
\n",
"
7610361.0
\n",
"
MULTIPOLYGON (((-48.54236 -27.93180, -48.54236...
\n",
"
\n",
"
\n",
"
24
\n",
"
Sergipe
\n",
"
2210004.0
\n",
"
MULTIPOLYGON (((-37.38458 -11.45986, -37.38458...
\n",
"
\n",
"
\n",
"
25
\n",
"
São Paulo
\n",
"
44411238.0
\n",
"
MULTIPOLYGON (((-48.08236 -25.28431, -48.08236...
\n",
"
\n",
"
\n",
"
26
\n",
"
Tocantins
\n",
"
1511460.0
\n",
"
POLYGON ((-49.23736 -12.88397, -49.23532 -12.8...
\n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" UF Pop 2022 \\\n",
"0 Acre 830018.0 \n",
"1 Alagoas 3127683.0 \n",
"2 Amapá 733759.0 \n",
"3 Amazonas 3941613.0 \n",
"4 Bahia 14141626.0 \n",
"5 Ceará 8794957.0 \n",
"6 Distrito Federal 2817381.0 \n",
"7 Espírito Santo 3833712.0 \n",
"8 Goiás 7056495.0 \n",
"9 Maranhão 6776699.0 \n",
"10 Mato Grosso 3658649.0 \n",
"11 Mato Grosso do Sul 2757013.0 \n",
"12 Minas Gerais 20539989.0 \n",
"13 Paraná 11444380.0 \n",
"14 Paraíba 3974687.0 \n",
"15 Pará 8120131.0 \n",
"16 Pernambuco 9058931.0 \n",
"17 Piauí 3271199.0 \n",
"18 Rio Grande do Norte 3302729.0 \n",
"19 Rio Grande do Sul 10882965.0 \n",
"20 Rio de Janeiro 16055174.0 \n",
"21 Rondônia 1581196.0 \n",
"22 Roraima 636707.0 \n",
"23 Santa Catarina 7610361.0 \n",
"24 Sergipe 2210004.0 \n",
"25 São Paulo 44411238.0 \n",
"26 Tocantins 1511460.0 \n",
"\n",
" geometry \n",
"0 POLYGON ((-68.10553 -10.72192, -68.10547 -10.7... \n",
"1 MULTIPOLYGON (((-35.88986 -9.84431, -35.88986 ... \n",
"2 MULTIPOLYGON (((-50.82570 2.52208, -50.82570 2... \n",
"3 POLYGON ((-58.13699 -7.35614, -58.13682 -7.356... \n",
"4 MULTIPOLYGON (((-38.69208 -17.95958, -38.69208... \n",
"5 MULTIPOLYGON (((-40.83181 -2.88125, -40.83181 ... \n",
"6 POLYGON ((-47.93915 -16.05135, -48.02110 -16.0... \n",
"7 MULTIPOLYGON (((-40.88403 -21.16125, -40.88403... \n",
"8 POLYGON ((-49.00480 -18.53718, -49.01248 -18.5... \n",
"9 MULTIPOLYGON (((-44.54986 -1.88458, -44.54986 ... \n",
"10 POLYGON ((-52.47143 -16.12672, -52.48842 -16.1... \n",
"11 POLYGON ((-54.16836 -23.99920, -54.17063 -24.0... \n",
"12 POLYGON ((-50.84402 -19.96758, -50.85332 -19.9... \n",
"13 MULTIPOLYGON (((-48.36514 -25.73403, -48.36514... \n",
"14 MULTIPOLYGON (((-43.01208 -9.40801, -43.01453 ... \n",
"15 MULTIPOLYGON (((-47.29792 -0.63375, -47.29792 ... \n",
"16 MULTIPOLYGON (((-35.13597 -8.83792, -35.13597 ... \n",
"17 POLYGON ((-42.69078 -9.54547, -42.69122 -9.545... \n",
"18 MULTIPOLYGON (((-35.10958 -6.19375, -35.10958 ... \n",
"19 MULTIPOLYGON (((-52.07069 -32.02847, -52.07069... \n",
"20 MULTIPOLYGON (((-44.67125 -23.35458, -44.67125... \n",
"21 POLYGON ((-62.89219 -12.86014, -62.89212 -12.8... \n",
"22 POLYGON ((-60.03790 0.26349, -60.04676 0.23211... \n",
"23 MULTIPOLYGON (((-48.54236 -27.93180, -48.54236... \n",
"24 MULTIPOLYGON (((-37.38458 -11.45986, -37.38458... \n",
"25 MULTIPOLYGON (((-48.08236 -25.28431, -48.08236... \n",
"26 POLYGON ((-49.23736 -12.88397, -49.23532 -12.8... "
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"pop"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## _Plots_ para visualizar incertezas\n",
"\n",
"Incertezas são inerentes a medições experimentais e laboratoriais, bem como a cálculos que envolvem estimativas e previsões sobre ocorrências futuras. Geralmente, incertezas são representadas por barras ou áreas que se estendem em torno de um ponto ou linha de referência. Neste grupo, incluem-se os plots acompanhados de barras de erro de intervalos de confiança."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Referências\n",
"\n",
"```{bibliography}\n",
":filter: docname in docnames\n",
"```"
]
}
],
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"display_name": "Python 3 (ipykernel)",
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