{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": "# The code was removed by Watson Studio for sharing." }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": "# Dados Abertos e Ci\u00eancia de Dados: An\u00e1lise da Actividade Parlamentar da XIV Legislatura Portuguesa\n\n***Open Data and Data Science: Analysis of the Parliamentary Activity of the 14th Legislature of Portugal***\n\n---\n\n**Frederico Mu\u00f1oz** \n\n---\n\n\ud83d\udc49 **IBM Data Platform URL**: https://dataplatform.cloud.ibm.com/analytics/notebooks/v2/0b23f01c-e55a-4fe4-a2ca-57f2e478bf3e/view?access_token=4cc13fba3f3967530650b11a2956ed27c5cec9042113237f97cb0e4c58d3905f\n\n\ud83d\udc49 **Jupyter Viewer**: https://nbviewer.jupyter.org/github/fsmunoz/pt-act-parlamentar/raw/master/Actividade%20Parlamentar%20da%20XIV%20Legislatura.ipynb\n\n\n\ud83d\udc49 *[How to cite this notebook](#How-to-cite-this-notebook)*" }, { "cell_type": "markdown", "metadata": {}, "source": "---\n\n**Abstract**: *The application of Data Science methods and analysis to voting records is a well-established practice; in this paper we describe the process of obtaining, cleaning, exploring and choosing adequate analytic methods for the purpose of determining the distance between parties in the Portuguese Parliament. Through the use of institutional Open Data resources we discuss the different approaches possible in terms of clustering and dimension reduction, using DBSCAN, Spectrum Clustering and Multidimensional Scaling to augment the information produced by distance and affinity matrices, and discuss the results of these methods in the available data in a time where the concepts of Left and Right are often hotly debated. A detailed explanation of how an euclidean distance matrix is obtained and how clustering and MDS work using test datasets is also included.*\n\n---" }, { "cell_type": "markdown", "metadata": {}, "source": "## Introdu\u00e7\u00e3o" }, { "cell_type": "markdown", "metadata": {}, "source": "\ud83d\udc49 ***This notebook is currently only fully available in Portuguese; while a future translation is likely in the meantime one can make good use of the fact that the actual code blocks are in English to at least follow through those parts***\n\nO posicionamento absoluto e relativo dos v\u00e1rios partidos pol\u00edticos no Parlamento portugu\u00eas tem sido motivo de interesse redobrado nos \u00faltimos anos. A elei\u00e7\u00e3o de deputados de partidos sem anterior presen\u00e7a parlamentar tem alimentado o debate cujas implica\u00e7\u00f5es ideol\u00f3gicas foram v\u00edsiveis de forma bastante pr\u00e1tica na problem\u00e1tica em torno da escolha de lugares: partidos desagradados com o lugar atribu\u00eddo *(\u201cIniciativa Liberal Descontente Com Lugar Atribu\u00eddo a Deputado No Parlamento - TSF\u201d 2020)*, dificuldades gerais em termos de arruma\u00e7\u00e3o dos deputados *(Renascen\u00e7a 2019)*, quest\u00f5es de ordem mais ou menos pr\u00e1tica em torno de acessos (Almeida 2019), enfim, v\u00e1rias dimens\u00f5es para uma quest\u00e3o que acaba por revelar a import\u00e2ncia simb\u00f3lica do posicionamento absoluto e relativo de cada partido no hemiciclo.\n\nEsta quest\u00e3o n\u00e3o \u00e9 particularmente nova *(Louren\u00e7o 2020)*, colocando-se em maior ou em menor grau com a entrada de novos partidos e a consequente necessidade de tomada de posi\u00e7\u00e3o por parte do rec\u00e9m-chegado partido e a harmoniza\u00e7\u00e3o (poss\u00edvel) com os restantes, sendo que a sua posterior actividade parlamentar (nas suas diversas vertentes) poder\u00e1 ou n\u00e3o alinhar-se com a sua auto-identifica\u00e7\u00e3o (reflectida ou n\u00e3o nos lugares no hemiciclo).\n\nO ponto de partida para esta an\u00e1lise foi precisamente tentar descobrir se exclusivamente com base na actividade parlamentar, e em concreto no registo de vota\u00e7\u00f5es, \u00e9 poss\u00edvel estabelecer rela\u00e7\u00f5es de proximidade e dist\u00e2ncia que permitam um agrupamento que n\u00e3o dependa de classifica\u00e7\u00f5es a priori, e se sim, de que forma estes agrupamentos confirmam ou divergem da percep\u00e7\u00e3o existente?\n\nA utiliza\u00e7\u00e3o de dados abertos disponibilizados pelo Parlamento torna esta an\u00e1lise substancialmente mais simples, embora n\u00e3o sem a necessidade de tratamento e valida\u00e7\u00e3o dos dados; de um ponto de vista pr\u00e1tico este bloco de notas demonstra como aceder e transformar os dados de uma forma que pode ser \u00fatil para outras an\u00e1lises. No cen\u00e1rio nacional refer\u00eancia para a iniciativa http://hemiciclo.pt que, em linha com iniciativas europeias semelhantes, fornecesse um interface para um maior escrutinio da actividade parlamentar e um conjunto alargado de indicadores directos e indirectos do maior interesse *(Sapage 2020)*. O presente trabalho tem alguns pontos de contacto com esta iniciativa, dentro dos limites que o seu objectivo pedag\u00f3gico estabelece.\n\nA combina\u00e7\u00e3o de dados abertos com um bloco de notas Jupyter permite que o leitor tenha visibilidade dos v\u00e1rios passos e transforma\u00e7\u00f5es *(Randles et al. 2017)*, o que pode por vezes apresentar uma excessiva complexidade para quem n\u00e3o tenha familiaridade com programa\u00e7\u00e3o; tent\u00e1mos obviar esta limita\u00e7\u00e3o atrav\u00e9s da descri\u00e7\u00e3o das v\u00e1rias ac\u00e7\u00f5es de forma a que se possa seguir a l\u00f3gica e fruir dos resultados. Esta transpar\u00eancia assume uma dimens\u00e3o adicional tendo em conta a tem\u00e1tica que nos proposmos analisar, embora seja importante de forma tranversal (sobre a import\u00e2ncia da repetibilidade, rastreabilidade, acesso e o papel de blocos Jupyter no contexto de open science ver, entre outros, exemplos em ecologia *(Powers and Hampton 2019)* astronomia *(Wofford et al. 2019)*).\n\nA plataforma utilizada para o desenvolvimento deste trabalho \u00e9 a IBM Watson Data Platform (https://dataplatform.cloud.ibm.com/), que permite a utiliza\u00e7\u00e3o de *notebooks* Jupyter no contexto de uma gest\u00e3o integral do processo de _Data Science_.\n\n\ud83d\udc49 *NB: a visualiza\u00e7\u00e3o do conte\u00fado deste bloco de notas ter\u00e1 varia\u00e7\u00f5es conforme a forma que estiver a ser manipulado; na sua vers\u00e3o \"est\u00e1tica\" os diagramas e tabelas ser\u00e3o tamb\u00e9m eles est\u00e1ticos. \u00c9, contudo, feito para poder ser instanciado e executado de forma interactiva, sendo a forma mais r\u00e1pida a cria\u00e7\u00e3o de uma conta gratuita na IBM Watson Data Platform (com acesso ao Watson Studio) e importa\u00e7\u00e3o deste trabalho, ou a utiliza\u00e7\u00e3o de Binder como descrito na sec\u00e7\u00e3o [Execu\u00e7\u00e3o do bloco de notas](#Execu\u00e7\u00e3o-do-bloco-de-notas).*" }, { "cell_type": "markdown", "metadata": {}, "source": "## Metodologia" }, { "cell_type": "markdown", "metadata": {}, "source": "Com base nos dados disponibilizados pela Assembleia da Rep\u00fablica em formato XML _(\u201cDados Abertos\u201d 2020)_ s\u00e3o criadas _dataframes_ (tabelas de duas dimens\u00f5es) com base no processamento e selec\u00e7\u00e3o de informa\u00e7\u00e3o relativa aos padr\u00f5es de vota\u00e7\u00e3o de cada partido (e/ou deputados n\u00e3o-inscritos).\n\nS\u00e3o fundamentalmente feitas as seguintes an\u00e1lises:\n\n1. Vista geral das vota\u00e7\u00f5es de cada partido, visualizado atrav\u00e9s de um _heatmap_\n2. Matriz de dist\u00e2ncia euclidiana entre todos os partidos e visualiza\u00e7\u00e3o de *clustering* hier\u00e1rquico atrav\u00e9s de um dendograma e m\u00e9todo de Ward.\n3. Identifica\u00e7\u00e3o de grupos (*clustering*) por DBSCAN e *Spectral Clustering*, com cria\u00e7\u00e3o de matriz de afinidade\n4. Redu\u00e7\u00e3o das dimens\u00f5es e visualiza\u00e7\u00e3o das dist\u00e2ncias e agrupamentos num espa\u00e7o cartesiano a duas e tr\u00eas dimens\u00f5es atrav\u00e9s de *Multidimensional Scaling* (MDS)\n\nA utilidade deste tipo de an\u00e1lise em ci\u00eancia pol\u00edtica \u00e9 reconhecida *(Figueiredo Filho et al. 2014)* e tem sido aplicada a v\u00e1rios registos de vota\u00e7\u00f5es; a an\u00e1lise presente tem como principal diferen\u00e7a o ser efectuado sobre as vota\u00e7\u00f5es de partidos e n\u00e3o, como \u00e9 mais comum na bibliografia consultada, a deputados individuais.\n\nO tratamento pr\u00e9vio dos dados em formato XML \u00e9 feito de forma a seleccionar as vota\u00e7\u00f5es de cada partido (ou deputado n\u00e3o inscrito), num processo com alguma complexidade que \u00e9 por isso detalhado em sec\u00e7\u00e3o pr\u00f3pria do Ap\u00eandice\n\nA informa\u00e7\u00e3o \u00e9 obtida a partir das listas publicadas de vota\u00e7\u00f5es relativas a\n\n- Actividades\n- Iniciativas\n\nOs dados utilizados s\u00e3o um subconjuntos dos disponibilizados, sendo que qualquer erro ou omiss\u00e3o nos dados originais ir\u00e1 ter imediato reflexo nos resultados das an\u00e1lises.\n\nEste trabalho n\u00e3o tem como objectivo principal apenas mostrar os resultados finais, mas tamb\u00e9m (ou fundamentalmente) todo o processo comum em *Data Science* para que se chegue at\u00e9 eles; \u00e9 por isso pleno de blocos de c\u00f3digo que tent\u00e1mos contextualizar com descri\u00e7\u00f5es que tornem a sua compreens\u00e3o dispens\u00e1vel para a quem n\u00e3o interessem esss detalhes, ao mesmo tempo que desvi\u00e1mos para sec\u00e7\u00f5es do Ap\u00eandice discuss\u00f5es mais extensas de v\u00e1rios passos. Requer, ainda assim, algum esfor\u00e7o em termos de seguir o caminho (por vezes pejado de desvios, atalhos e retrocessos) at\u00e9 aos diversos resultados apresentados.\n\n\ud83d\udc49 *NB: O processo de tratamento de dados n\u00e3o \u00e9 indiferente para o resultado final: *s\u00e3o feitas escolhas a v\u00e1rios n\u00edveis (desde a selec\u00e7\u00e3o dos dados considerados importantes aos algoritmos escolhidos) que t\u00eam impacto nos resultados, nem que seja por omiss\u00e3o*. Mais do que evit\u00e1-lo (o que n\u00e3o seria poss\u00edvel), opt\u00e1mos por identificar de forma clara as escolhas feitas e explicar as raz\u00f5es que levaram \u00e0 sua escolha: cada leitor poder\u00e1 assim determinar a razoabilidade de cada uma e, sobretudo, ensaiar novas formas que considere mais adequadas.*" }, { "cell_type": "markdown", "metadata": {}, "source": "## Instala\u00e7\u00e3o de pr\u00e9-requisitos\n\nComo primeiro passo definimos alguns valores que dever\u00e3o ser utilizados pelo bloco de notas Jupyter para exibir tabelas e diagramas e algumas bibliotecas essenciais que s\u00e3o importantes para poder executar o bloco de notas de forma independente (nomeadamente em ambientes Jupyter exteriores ao IBM Watson Data Platform como o Binder https://mybinder.org/ )." }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "data": { "application/javascript": "require.config({\n paths: {\n datatables: 'https://cdn.datatables.net/1.10.19/js/jquery.dataTables.min',\n }\n});\n\n$('head').append(' ');\n\n$('head').append('');\n\n$('head').append(`\n \n ", "text/plain": "" }, "metadata": {}, "output_type": "display_data" } ], "source": "from pixiedust.display import *\ndisplay(votes)" }, { "cell_type": "markdown", "metadata": {}, "source": "### Dist\u00e2ncias e matrizes\n\nA matriz de dist\u00e2ncia \u00e9 feita atrav\u00e9s da utiliza\u00e7\u00e3o da fun\u00e7\u00e3o `pdist`; como j\u00e1 mencionado a dist\u00e2ncia euclidiana entre dois pontos $p$ e $q$ \u00e9 $ d\\left( p,q\\right) = \\sqrt {\\sum _{i=1}^{n} \\left( q_{i}-p_{i}\\right)^2 }$, para $n$ dimens\u00f5es . De forma a facilitar a intui\u00e7\u00e3o de como esta dist\u00e2ncia \u00e9 aplicada ao registo de vota\u00e7\u00f5es vamos, passo a passo, analisar um caso simplificado (o que nos serve tamb\u00e9m de forma de valida\u00e7\u00e3o indirecta do processo).\n\nVamos criar um cen\u00e1rio com tr\u00eas partidos, com nomes que reflectem o seu perfil de vota\u00e7\u00e3o:\n\n* O Partido Favor\u00e1vel vota a favor.\n* O Partido Abstencionista abstem-se (pelo menos at\u00e9 certo ponto).\n* O Partido do Contra vota contra.\n\n### Uma vota\u00e7\u00e3o, $ n = 1 $\n\nCome\u00e7emos por uma \u00fanica vota\u00e7\u00e3o, onde cada um dos partidos segue a sua linha program\u00e1tica:" }, { "cell_type": "code", "execution_count": 57, "metadata": {}, "outputs": [ { "data": { "text/html": "
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", "text/plain": " v1\nF 1\nA 0\nC -1" }, "execution_count": 57, "metadata": {}, "output_type": "execute_result" } ], "source": "v1=[[1],[0],[-1]]\nv1_df = pd.DataFrame(v1, columns=[\"v1\"], index=[\"F\",\"A\", \"C\"])\nv1_df" }, { "cell_type": "markdown", "metadata": {}, "source": "Com uma \u00fanica vota\u00e7\u00e3o o n\u00famero de dimens\u00f5es \u00e9 de $n = 1$ e \u00e9 bastante intuitivo que a dist\u00e2ncia entre eles \u00e9 a _norma_:$ d\\left( x,y\\right) = | x - y |$; entre 1 e 0 a dist\u00e2ncia \u00e9 1, entre 1 e -1 a dist\u00e2ncia \u00e9 2, etc. Para $ n = 1 $ a dist\u00e2ncia euclidiana \u00e9 equivalente \u00e0 norma, pois $ \\sqrt{\\left( q - p\\right)^2} = | q - p | $, como pode ser observado quando medidas a dist\u00e2ncia entre eles:" }, { "cell_type": "code", "execution_count": 58, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": "Distance from F and A = 1.0\nDistance from F and C = 2.0\nDistance from A and C = 1.0\n" } ], "source": "import math\n## We could also sue the array directly, e.g.\n## print(\"Distance from\" , a[0][0] , \"and\" , a[1][0],\"=\",math.sqrt((a[0][0]-a[1][0]) ** 2))\n\nprint(\"Distance from\", v1_df.loc[\"F\"].name, \"and\", v1_df.loc[\"A\"].name, \"=\", \n math.sqrt((v1_df.loc[\"F\"][\"v1\"]-v1_df.loc[\"A\"][\"v1\"]) ** 2))\nprint(\"Distance from\", v1_df.loc[\"F\"].name, \"and\", v1_df.loc[\"C\"].name, \"=\", \n math.sqrt((v1_df.loc[\"F\"][\"v1\"]-v1_df.loc[\"C\"][\"v1\"]) ** 2))\nprint(\"Distance from\", v1_df.loc[\"A\"].name, \"and\", v1_df.loc[\"C\"].name, \"=\", \n math.sqrt((v1_df.loc[\"A\"][\"v1\"]-v1_df.loc[\"C\"][\"v1\"]) ** 2))" }, { "cell_type": "markdown", "metadata": {}, "source": "Temos a dist\u00e2ncia entre os tr\u00eas poss\u00edveis pares: a dist\u00e2ncia entre _F_ e _A_ \u00e9 id\u00eantica \u00e0 dist\u00e2ncia entre _A_ e _F_. Isto \u00e9 importante porque ajuda a explicar a diferen\u00e7a entre a forma \"condensada\" e forma \"quadrada\". A fun\u00e7\u00e3o `pdist` retorna a dist\u00e2ncia entre os v\u00e1rios pares na forma _condensada_:" }, { "cell_type": "code", "execution_count": 59, "metadata": {}, "outputs": [ { "data": { "text/plain": "array([1., 2., 1.])" }, "execution_count": 59, "metadata": {}, "output_type": "execute_result" } ], "source": "pdist(v1_df)" }, { "cell_type": "markdown", "metadata": {}, "source": "Estes s\u00e3o os mesmos valores que obtivemos de forma manual, e \u00e9 isso que a fun\u00e7\u00e3o faz: calcula uma determinada dist\u00e2ncia (euclidiana, neste caso e por omiss\u00e3o) entre todos os pares poss\u00edveis, sem que seja necess\u00e1rio especificarmos todas as combina\u00e7\u00f5es poss\u00edveis.\n\nEste formato condensado n\u00e3o \u00e9 o que permite uma leitura mais imediata, e para tal existe a fun\u00e7\u00e3o `squareform` que apresenta os mesmos resultados mas numa matriz sim\u00e9trica:" }, { "cell_type": "code", "execution_count": 60, "metadata": {}, "outputs": [ { "data": { "text/plain": "array([[0., 1., 2.],\n [1., 0., 1.],\n [2., 1., 0.]])" }, "execution_count": 60, "metadata": {}, "output_type": "execute_result" } ], "source": "squareform(pdist(v1_df))" }, { "cell_type": "markdown", "metadata": {}, "source": "Em formato tabular torna-se ainda mais claro... e isto \u00e9 exactmante a matriz de dist\u00e2ncia usada para o mapa t\u00e9rmico" }, { "cell_type": "code", "execution_count": 61, "metadata": {}, "outputs": [ { "data": { "text/html": "
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", "text/plain": " F A C\nF 0.0 1.0 2.0\nA 1.0 0.0 1.0\nC 2.0 1.0 0.0" }, "execution_count": 61, "metadata": {}, "output_type": "execute_result" } ], "source": "v1_distmat=pd.DataFrame(squareform(pdist(v1)), columns=v1_df.index, index=v1_df.index)\nv1_distmat" }, { "cell_type": "markdown", "metadata": {}, "source": "Geometricamente temos pontos numa recta: uma an\u00e1lise das dist\u00e2ncias entre os tr\u00eas partidos com base no hist\u00f3rico de vota\u00e7\u00e3o seria simples de visualizar com base na posi\u00e7\u00e3o desses pontos:" }, { "cell_type": "code", "execution_count": 62, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": "
" }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": "fig, ax = plt.subplots()\nax.axhline(y=0,c=\"gold\",zorder=-1)\n\nfor x in v1_df[\"v1\"]:\n ax.scatter(x,y=0)\nplt.show()" }, { "cell_type": "markdown", "metadata": {}, "source": "Com base na matriz de dist\u00e2ncia contruimos o mapa t\u00e9rmico de forma muito simples:" }, { "cell_type": "code", "execution_count": 63, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", 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" }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": "plt.figure(figsize=(4,4))\nsns.heatmap(\n v1_distmat,\n cmap=sns.color_palette(\"Reds_r\"),\n linewidth=1,\n annot = True,\n square =True,\n)\nplt.show()" }, { "cell_type": "markdown", "metadata": {}, "source": "...e o agrupamento com base nessa matriz:" }, { "cell_type": "code", "execution_count": 64, "metadata": {}, "outputs": [ { "data": { "text/plain": "" }, "execution_count": 64, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", 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" }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": "v1_distmat_link = hc.linkage(pdist(v1_df))\n\nsns.clustermap(\n v1_distmat,\n annot = True,\n cmap=sns.color_palette(\"Reds_r\"),\n linewidth=1,\n row_linkage=v1_distmat_link,\n col_linkage=v1_distmat_link,\n figsize=(4,4)\n)\n" }, { "cell_type": "markdown", "metadata": {}, "source": "### Duas vota\u00e7\u00f5es, $ n = 2 $\n\nUsando a mesma abordagem (agora sem necessidade de explica\u00e7\u00f5es adicionais) adicionamos mais uma vota\u00e7\u00e3o, sempre em linha com o perfil fixo de votos de cada um: cada partido passa a ter dois votos, logo temos duas dimens\u00f5es:" }, { "cell_type": "code", "execution_count": 65, "metadata": {}, "outputs": [ { "data": { "text/html": "
\n\n\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n
v1v2
F11
A00
C-1-1
\n
", "text/plain": " v1 v2\nF 1 1\nA 0 0\nC -1 -1" }, "execution_count": 65, "metadata": {}, "output_type": "execute_result" } ], "source": "v2=[[1,1],[0,0],[-1,-1]]\nv2_df = pd.DataFrame(v2, columns=[\"v1\",\"v2\"], index=[\"F\",\"A\", \"C\"])\nv2_df" }, { "cell_type": "markdown", "metadata": {}, "source": "A dist\u00e2ncia euclidiana \u00e9 agora feita de forma mais gen\u00e9rica: a ra\u00edz quadrada da soma do quadrado das diferen\u00e7as: para a primeira diferen\u00e7a isto significa, passo a passo e para $q=F$ e $p=A$:\n\n$ d\\left(q,p\\right) = \\sqrt {\\sum _{i=1}^{n} \\left( q_{i}-p_{i}\\right)^2 } = \\sqrt{\\left( q_{1}-p_{1}\\right)^2 + \\left( q_{2}-p_{2}\\right)^2 } = \\sqrt{\\left( 1 - 0\\right)^2 + \\left( 1 - 0\\right)^2} = \\sqrt{ 1^2 + 1^2 } = \\sqrt{1+1} = \\sqrt{2} \\approx 1.4142135623730951 $\n\nE de facto:" }, { "cell_type": "code", "execution_count": 66, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": "1.4142135623730951\n2.8284271247461903\n1.4142135623730951\n" } ], "source": "print(math.sqrt(sum((px - qx) ** 2.0 for px, qx in zip(v2_df.loc[\"F\"],v2_df.loc[\"A\"]))))\nprint(math.sqrt(sum((px - qx) ** 2.0 for px, qx in zip(v2_df.loc[\"F\"],v2_df.loc[\"C\"]))))\nprint(math.sqrt(sum((px - qx) ** 2.0 for px, qx in zip(v2_df.loc[\"A\"],v2_df.loc[\"C\"]))))" }, { "cell_type": "markdown", "metadata": {}, "source": "Tal como antes \u00e9 id\u00eantico ao resultado de `pdist`, tanto na sua forma condensada como quadrada:" }, { "cell_type": "code", "execution_count": 67, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": "pdist:\n [1.41421356 2.82842712 1.41421356] \n\nsquareform:\n [[0. 1.41421356 2.82842712]\n [1.41421356 0. 1.41421356]\n [2.82842712 1.41421356 0. ]]\n" }, { "data": { "text/html": "
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FAC
F0.0000001.4142142.828427
A1.4142140.0000001.414214
C2.8284271.4142140.000000
\n
", "text/plain": " F A C\nF 0.000000 1.414214 2.828427\nA 1.414214 0.000000 1.414214\nC 2.828427 1.414214 0.000000" }, "execution_count": 67, "metadata": {}, "output_type": "execute_result" } ], "source": "print(\"pdist:\\n\", pdist(v2),\"\\n\")\nprint(\"squareform:\\n\",squareform(pdist(v2)))\nv2_distmat=pd.DataFrame(squareform(pdist(v2)), columns=v2_df.index, index=v2_df.index)\nv2_distmat\n\n" }, { "cell_type": "markdown", "metadata": {}, "source": "Com duas vota\u00e7\u00f5es temos $ n = 2 $ e conseguimos ver os pontos num espa\u00e7o cartesiano em $ \\mathbb{R}^2 $ (um plano)." }, { "cell_type": "code", "execution_count": 68, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": "
" }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": "fig, ax = plt.subplots()\nfor x,y in zip(v2_df[\"v1\"], v2_df[\"v2\"]):\n ax.scatter(x,y)\nfig.show()" }, { "cell_type": "markdown", "metadata": {}, "source": "A matriz de dist\u00e2ncia seria neste caso, como no anterior, desnecess\u00e1ria (em $ \\mathbb{R}^2 $ as dist\u00e2ncias entre os partidos s\u00e3o \u00f3bvias por facilmente visualiz\u00e1veis); a forma de a construir \u00e9 id\u00eantica:" }, { "cell_type": "code", "execution_count": 69, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": "
" }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": "plt.figure(figsize=(4,4))\n\nsns.heatmap(\n v2_distmat,\n cmap=sns.color_palette(\"Reds_r\"),\n linewidth=1,\n annot = True,\n square =True,\n)\nplt.show()\n" }, { "cell_type": "markdown", "metadata": {}, "source": "... e o mapa t\u00e9rmico correspondente:" }, { "cell_type": "code", "execution_count": 70, "metadata": {}, "outputs": [ { "data": { "text/plain": "" }, "execution_count": 70, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", 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" }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": "v2_distmat_link = hc.linkage(pdist(v2_df))\n\nsns.clustermap(\n v2_distmat,\n annot = True,\n cmap=sns.color_palette(\"Reds_r\"),\n linewidth=1,\n row_linkage=v2_distmat_link,\n col_linkage=v2_distmat_link,\n figsize=(4,4)\n)" }, { "cell_type": "markdown", "metadata": {}, "source": "### Tr\u00eas vota\u00e7\u00f5es, $ n = 3 $\n\nEste \u00e9 o \u00faltimo caso onde a visualiza\u00e7\u00e3o pode ser feita de forma directa. Consideremos:" }, { "cell_type": "code", "execution_count": 71, "metadata": {}, "outputs": [ { "data": { "text/html": "
\n\n\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n
v1v2v3
F111
A000
C-1-1-1
\n
", "text/plain": " v1 v2 v3\nF 1 1 1\nA 0 0 0\nC -1 -1 -1" }, "execution_count": 71, "metadata": {}, "output_type": "execute_result" } ], "source": "v3=[[1,1,1],[0,0,0],[-1,-1,-1]]\nv3_df = pd.DataFrame(v3, columns=[\"v1\",\"v2\", \"v3\"], index=[\"F\",\"A\", \"C\"])\nv3_df" }, { "cell_type": "markdown", "metadata": {}, "source": "A dist\u00e2ncia \u00e9 calculada da mesma forma:" }, { "cell_type": "code", "execution_count": 72, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": "1.7320508075688772\n3.4641016151377544\n1.7320508075688772\n" } ], "source": "print(math.sqrt(sum((px - qx) ** 2.0 for px, qx in zip(v3_df.loc[\"F\"],v3_df.loc[\"A\"]))))\nprint(math.sqrt(sum((px - qx) ** 2.0 for px, qx in zip(v3_df.loc[\"F\"],v3_df.loc[\"C\"]))))\nprint(math.sqrt(sum((px - qx) ** 2.0 for px, qx in zip(v3_df.loc[\"A\"],v3_df.loc[\"C\"]))))" }, { "cell_type": "markdown", "metadata": {}, "source": "... bem como a matriz de dist\u00e2ncia:" }, { "cell_type": "code", "execution_count": 73, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": "pdist:\n [1.73205081 3.46410162 1.73205081] \n\nsquareform:\n [[0. 1.73205081 3.46410162]\n [1.73205081 0. 1.73205081]\n [3.46410162 1.73205081 0. ]]\n" }, { "data": { "text/html": "
\n\n\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n
FAC
F0.0000001.7320513.464102
A1.7320510.0000001.732051
C3.4641021.7320510.000000
\n
", "text/plain": " F A C\nF 0.000000 1.732051 3.464102\nA 1.732051 0.000000 1.732051\nC 3.464102 1.732051 0.000000" }, "execution_count": 73, "metadata": {}, "output_type": "execute_result" } ], "source": "print(\"pdist:\\n\", pdist(v3),\"\\n\")\nprint(\"squareform:\\n\",squareform(pdist(v3)))\nv3_distmat=pd.DataFrame(squareform(pdist(v3)), columns=v3_df.index, index=v3_df.index)\nv3_distmat" }, { "cell_type": "markdown", "metadata": {}, "source": "Estamos agora em $ \\mathbb{R}^3 $, e para visualizar podemos usar uma projec\u00e7\u00e3o tridimensional:" }, { "cell_type": "code", "execution_count": 74, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": "fig, ax = plt.subplots()\nax = fig.add_subplot(111,projection='3d')\n\nfor x,y,z in zip(v3_df[\"v1\"], v3_df[\"v2\"], v3_df[\"v3\"]):\n ax.scatter(x,y,z)\nfig.show()" }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": "" }, { "cell_type": "code", "execution_count": 75, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", 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" }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": "plt.figure(figsize=(4,4))\n\nsns.heatmap(\n v3_distmat,\n cmap=sns.color_palette(\"Reds_r\"),\n linewidth=1,\n annot = True,\n square =True,\n)\nplt.show()\n" }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": "" }, { "cell_type": "code", "execution_count": 76, "metadata": {}, "outputs": [ { "data": { "text/plain": "" }, "execution_count": 76, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": "
" }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": "v3_distmat_link = hc.linkage(pdist(v3_df))\n\nsns.clustermap(\n v3_distmat,\n annot = True,\n cmap=sns.color_palette(\"Reds_r\"),\n linewidth=1,\n row_linkage=v3_distmat_link,\n col_linkage=v3_distmat_link,\n figsize=(4,4)\n)" }, { "cell_type": "markdown", "metadata": {}, "source": "### Mais de tr\u00eas vota\u00e7\u00f5es, $ n > 3 $\n\nA partir daqui coloca-se a quest\u00e3o fundamental: a impossibilidade de visualizar de forma directa a dist\u00e2ncia para al\u00e9m das tr\u00eas dimens\u00f5es. A dist\u00e2ncia existe e segue exactamente os mesmo passos, simplesmente n\u00e3o \u00e9 pass\u00edvel de visualiza\u00e7\u00e3o, raz\u00e3o pela qual \u00e9 necess\u00e1rio (agora sim) depender de formas que \"reduzam\" as dimens\u00f5es e as tornem visualiz\u00e1veis.\n\nAt\u00e9 agora os agrupamentos t\u00eam sido sempre iguais pois a dist\u00e2ncia \u00e9 sempre linear; vamos neste \u00faltimo caso assumir que o Partido Abstencionista teve uma mudan\u00e7a de posi\u00e7\u00e3o e passou a votar por vezes a favor e contra, embora mais contra que a favor:" }, { "cell_type": "code", "execution_count": 77, "metadata": {}, "outputs": [ { "data": { "text/html": "
\n\n\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n
v1v2v3v4v5v6v7v8v9v10
F1111111111
A00010-10-1-1-1
C-1-1-1-1-1-1-1-1-1-1
\n
", "text/plain": " v1 v2 v3 v4 v5 v6 v7 v8 v9 v10\nF 1 1 1 1 1 1 1 1 1 1\nA 0 0 0 1 0 -1 0 -1 -1 -1\nC -1 -1 -1 -1 -1 -1 -1 -1 -1 -1" }, "execution_count": 77, "metadata": {}, "output_type": "execute_result" } ], "source": "v4=[[1,1,1,1,1,1,1,1,1,1],[0,0,0,1,0,-1,0,-1,-1,-1],[-1,-1,-1,-1,-1,-1,-1,-1,-1,-1]]\nv4_df = pd.DataFrame(v4, columns=[\"v1\",\"v2\", \"v3\",\"v4\",\"v5\",\"v6\",\"v7\",\"v8\",\"v9\",\"v10\"], index=[\"F\",\"A\", \"C\"])\nv4_df" }, { "cell_type": "markdown", "metadata": {}, "source": "A dist\u00e2ncia calculdada \"manualmente\":" }, { "cell_type": "code", "execution_count": 78, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": "4.58257569495584\n6.324555320336759\n3.0\n" } ], "source": "print(math.sqrt(sum((px - qx) ** 2.0 for px, qx in zip(v4_df.loc[\"F\"],v4_df.loc[\"A\"]))))\nprint(math.sqrt(sum((px - qx) ** 2.0 for px, qx in zip(v4_df.loc[\"F\"],v4_df.loc[\"C\"]))))\nprint(math.sqrt(sum((px - qx) ** 2.0 for px, qx in zip(v4_df.loc[\"A\"],v4_df.loc[\"C\"]))))" }, { "cell_type": "markdown", "metadata": {}, "source": "... e o c\u00e1lculo via `pdist` e a matriz de dist\u00e2ncia:" }, { "cell_type": "code", "execution_count": 79, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": "pdist:\n [4.58257569 6.32455532 3. ] \n\nsquareform:\n [[0. 4.58257569 6.32455532]\n [4.58257569 0. 3. ]\n [6.32455532 3. 0. ]]\n" }, { "data": { "text/html": "
\n\n\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n
FAC
F0.0000004.5825766.324555
A4.5825760.0000003.000000
C6.3245553.0000000.000000
\n
", "text/plain": " F A C\nF 0.000000 4.582576 6.324555\nA 4.582576 0.000000 3.000000\nC 6.324555 3.000000 0.000000" }, "execution_count": 79, "metadata": {}, "output_type": "execute_result" } ], "source": "print(\"pdist:\\n\", pdist(v4),\"\\n\")\nprint(\"squareform:\\n\",squareform(pdist(v4)))\nv4_distmat=pd.DataFrame(squareform(pdist(v4)), columns=v4_df.index, index=v4_df.index)\nv4_distmat" }, { "cell_type": "markdown", "metadata": {}, "source": "O mapa t\u00e9rmico:" }, { "cell_type": "code", "execution_count": 80, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": "
" }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": "plt.figure(figsize=(4,4))\n\nsns.heatmap(\n v4_distmat,\n cmap=sns.color_palette(\"Reds_r\"),\n linewidth=1,\n annot = True,\n square =True,\n)\nplt.show()\n" }, { "cell_type": "markdown", "metadata": {}, "source": "... e o dendograma, j\u00e1 apresentando um agrupamento com base na maior aproxima\u00e7\u00e3o com base no registo de vota\u00e7\u00e3o:" }, { "cell_type": "code", "execution_count": 81, "metadata": {}, "outputs": [ { "data": { "text/plain": "" }, "execution_count": 81, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": "
" }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": "v4_distmat_link = hc.linkage(pdist(v4_df), method=\"ward\")\n\nsns.clustermap(\n v4_distmat,\n annot = True,\n cmap=sns.color_palette(\"Reds_r\"),\n linewidth=1,\n row_linkage=v4_distmat_link,\n col_linkage=v4_distmat_link,\n figsize=(4,4)\n)" }, { "cell_type": "markdown", "metadata": {}, "source": "### M\u00e9todos de _clustering_" }, { "cell_type": "markdown", "metadata": {}, "source": "Da mesma forma que podemos especificar diferentes m\u00e9tricas de dist\u00e2ncia, podemos tamb\u00e9m especificar diferentes m\u00e9todos de agrega\u00e7\u00e3o, que com base na dist\u00e2ncia entre os v\u00e1rios pontos v\u00e3o determinar de que forma podem ser agrupados: de que forma se determina a liga\u00e7\u00e3o entre eles.\n\nO valor por omiss\u00e3o usado pela fun\u00e7\u00e3o `linkage` o da liga\u00e7\u00e3o `simple`, determinada pela dist\u00e2ncia m\u00ednima entre os pontos mais pr\u00f3ximos $ \\min \\,\\{\\,d(a,b):a\\in A,\\,b\\in B\\,\\} $; uma alternativa bastante comum e que determina os _cluster_ com base na dist\u00e2ncia m\u00e9dia \u00e9 o `average` (tamb\u00e9m conhecido por UPGMA), e outra \u00e9 o m\u00e9todo de Ward [14WardMethod].\n\nPodemos ver a diferen\u00e7a entre os tr\u00eas com o seguinte exemplo; adicionamos um partido (\"B\") normalmente se abstem mas vota duas vezes de forma diferente, ambas em sentido oposto ao partido \"A\"." }, { "cell_type": "code", "execution_count": 82, "metadata": {}, "outputs": [ { "data": { "text/html": "
\n\n\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n
FABC
F0.0000004.5825763.4641026.324555
A4.5825760.0000003.3166253.000000
B3.4641023.3166250.0000003.464102
C6.3245553.0000003.4641020.000000
\n
", "text/plain": " F A B C\nF 0.000000 4.582576 3.464102 6.324555\nA 4.582576 0.000000 3.316625 3.000000\nB 3.464102 3.316625 0.000000 3.464102\nC 6.324555 3.000000 3.464102 0.000000" }, "execution_count": 82, "metadata": {}, "output_type": "execute_result" } ], "source": "v5=[[1,1,1,1,1,1,1,1,1,1],[0,0,0,1,0,-1,0,-1,-1,-1],[0,0,0,-1,0,0,0,0,0,1],[-1,-1,-1,-1,-1,-1,-1,-1,-1,-1]]\n\nv5_df = pd.DataFrame(v5, columns=[\"v1\",\"v2\", \"v3\",\"v4\",\"v5\",\"v6\",\"v7\",\"v8\",\"v9\",\"v10\"], index=[\"F\",\"A\",\"B\" ,\"C\"])\nv5_distmat=pd.DataFrame(squareform(pdist(v5)), columns=v5_df.index, index=v5_df.index)\nv5_distmat" }, { "cell_type": "markdown", "metadata": {}, "source": "Usando o m\u00e9todo simples obtemos o seguinte dendograma:" }, { "cell_type": "code", "execution_count": 83, "metadata": {}, "outputs": [ { "data": { "text/plain": "" }, "execution_count": 83, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": "v5_distmat_link = hc.linkage(pdist(v5_df))\n\nsns.clustermap(\n v5_distmat,\n annot = True,\n cmap=sns.color_palette(\"Reds_r\"),\n linewidth=1,\n row_linkage=v5_distmat_link,\n col_linkage=v5_distmat_link,\n figsize=(4,4)\n)" }, { "cell_type": "markdown", "metadata": {}, "source": "Usando UPGMA n\u00e3o h\u00e1 altera\u00e7\u00f5es (neste caso muito simples, porque o mais prov\u00e1vel \u00e9 existirem quando aplicadas a dados reais com maior n\u00famero de observa\u00e7\u00f5es e dimens\u00f5es); os agrupamentos tendem a ser feitos de forma recursiva, por separa\u00e7\u00e3o de elementos individuais at\u00e9 \u00e0 identifica\u00e7\u00e3o de um par final:" }, { "cell_type": "code", "execution_count": 84, "metadata": {}, "outputs": [ { "data": { "text/plain": "" }, "execution_count": 84, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": "v5_distmat_link = hc.linkage(pdist(v5_df), method=\"average\")\n\nsns.clustermap(\n v5_distmat,\n annot = True,\n cmap=sns.color_palette(\"Reds_r\"),\n linewidth=1,\n row_linkage=v5_distmat_link,\n col_linkage=v5_distmat_link,\n figsize=(4,4)\n)" }, { "cell_type": "markdown", "metadata": {}, "source": "Com o m\u00e9todo de Ward o resultado n\u00e3o \u00e9 muito diferente mas tende a agrupar em _clusters_ de n\u00famero e dimens\u00f5es iguais e \u00e9 por isso uma escolha muito popular *(Morse 1980)*; neste caso cria dois grupos de dois elementos, agrupando o novo partido pela considera\u00e7\u00e3o que faz das dest\u00e2ncias entre todos:" }, { "cell_type": "code", "execution_count": 85, "metadata": {}, "outputs": [ { "data": { "text/plain": "" }, "execution_count": 85, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": "v5_distmat_link = hc.linkage(pdist(v5_df), method=\"ward\")\n\nsns.clustermap(\n v5_distmat,\n annot = True,\n cmap=sns.color_palette(\"Reds_r\"),\n linewidth=1,\n row_linkage=v5_distmat_link,\n col_linkage=v5_distmat_link,\n figsize=(4,4)\n)" }, { "cell_type": "markdown", "metadata": {}, "source": "### Um exemplo simples de MDS\n\nConsideremos uma vota\u00e7\u00e3o como a seguinte, onde os 4 partidos t\u00eam um perfil de vota\u00e7\u00e3o simples que torna simples adivinhar os agrupamentos: entre o que vota sempre a favor e o que vota sempre contra temos partidos que metade das vezes se abst\u00eam e a outra metade votam de forma diferente; a matriz de dist\u00e2ncia correspondente:" }, { "cell_type": "code", "execution_count": 86, "metadata": {}, "outputs": [ { "data": { "text/html": "
\n\n\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n
FABC
F0.0000002.2360685.0000006.324555
A2.2360680.0000003.1622785.000000
B5.0000003.1622780.0000002.236068
C6.3245555.0000002.2360680.000000
\n
", "text/plain": " F A B C\nF 0.000000 2.236068 5.000000 6.324555\nA 2.236068 0.000000 3.162278 5.000000\nB 5.000000 3.162278 0.000000 2.236068\nC 6.324555 5.000000 2.236068 0.000000" }, "execution_count": 86, "metadata": {}, "output_type": "execute_result" } ], "source": "v6=[[1,1,1,1,1,1,1,1,1,1],[1,0,1,0,1,0,1,0,1,0],[0,-1,0,-1,0,-1,0,-1,0,-1],[-1,-1,-1,-1,-1,-1,-1,-1,-1,-1]]\n\nv6_df = pd.DataFrame(v6, columns=[\"v1\",\"v2\", \"v3\",\"v4\",\"v5\",\"v6\",\"v7\",\"v8\",\"v9\",\"v10\"], index=[\"F\",\"A\",\"B\" ,\"C\"])\nv6_distmat=pd.DataFrame(squareform(pdist(v6)), columns=v6_df.index, index=v6_df.index)\nv6_distmat" }, { "cell_type": "markdown", "metadata": {}, "source": "Com estas dist\u00e2ncias conseguimos, atrav\u00e9s de MDS, reduzir o n\u00famero de dimens\u00f5es de forma a podermos visualizar o resultado:" }, { "cell_type": "code", "execution_count": 87, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": "from sklearn.manifold import MDS\nimport random\n\nmds = MDS(n_components=2, dissimilarity='precomputed',random_state=2020, n_init=100, max_iter=1000)\n\nresults = mds.fit(v6_distmat.values)\ncoords = results.embedding_\nfig, ax = plt.subplots(figsize=(8,8))\n\nfor label, x, y in zip(v6_distmat.columns, coords[:, 0], coords[:, 1]):\n ax.scatter(x, y, s=250)\n ax.axis('equal')\n ax.annotate(\n label,\n xy = (x+0.1, y),\n )\nplt.show()\n" }, { "cell_type": "markdown", "metadata": {}, "source": "Observe-se que n\u00e3o temos agrupamentos: MDS n\u00e3o \u00e9 um m\u00e9todo de _clustering_ mas sim de redu\u00e7\u00e3o das dimens\u00f5es de forma a manter as dist\u00e2ncias relativas entre os v\u00e1rios pontos, o que nos permite identificar visualmente poss\u00edveis grupos (neste caso parece claro que $\\{C,B\\}$ e $\\{A,F\\}$ s\u00e3o grupos que se destacam pela proximidade edos seus elementos e dist\u00e2ncia entre si)." }, { "cell_type": "markdown", "metadata": {}, "source": "### Spectrum Scaling\n\nEste m\u00e9todo \u00e9, como referido, uma das formas de se poder proceder \u00e0 identifica\u00e7\u00e3o autom\u00e1tica de _clusters_, tendo como base uma matriz de afinidade " }, { "cell_type": "code", "execution_count": 88, "metadata": {}, "outputs": [ { "data": { "text/html": "
\n\n\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n
FABC
F1.0000000.6464470.2094310.000000
A0.6464471.0000000.5000000.209431
B0.2094310.5000001.0000000.646447
C0.0000000.2094310.6464471.000000
\n
", "text/plain": " F A B C\nF 1.000000 0.646447 0.209431 0.000000\nA 0.646447 1.000000 0.500000 0.209431\nB 0.209431 0.500000 1.000000 0.646447\nC 0.000000 0.209431 0.646447 1.000000" }, "execution_count": 88, "metadata": {}, "output_type": "execute_result" } ], "source": "v6_distmat_mm=((v6_distmat-v6_distmat.min().min())/(v6_distmat.max().max()-v6_distmat.min().min()))*1\n\npd.DataFrame(1-v6_distmat_mm, v6_distmat.index, v6_distmat.columns)\n" }, { "cell_type": "markdown", "metadata": {}, "source": "Um par\u00e2metros fundamental \u00e9 o n\u00famero de _clusters_ a identificar; neste caso indicamos dois:" }, { "cell_type": "code", "execution_count": 89, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": "{'F': 1, 'A': 1, 'B': 0, 'C': 0}\n" } ], "source": "v6_sc = SpectralClustering(2, affinity=\"precomputed\",random_state=2020).fit_predict(1 - v6_distmat_mm)\nv6_sc_dict = dict(zip(v6_distmat,v6_sc))\nprint(v6_sc_dict)" }, { "cell_type": "markdown", "metadata": {}, "source": "O MDS correspondente:" }, { "cell_type": "code", "execution_count": 90, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": "
" }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": "fig, ax = plt.subplots(figsize=(6,6))\n\nfor label, x, y in zip(v6_distmat.columns, coords[:, 0], coords[:, 1]):\n ax.scatter(x, y, c = \"C\"+str(v6_sc_dict[label]), s=250)\n ax.axis('equal')\n ax.annotate(\n label,xy = (x+0.3, y),)\n" }, { "cell_type": "markdown", "metadata": {}, "source": "## DBSCAN\n\nEste m\u00e9todo dispensa a inicializa\u00e7\u00e3o com o n\u00famero de grupos :" }, { "cell_type": "code", "execution_count": 91, "metadata": {}, "outputs": [ { "data": { "text/plain": "{'F': 0, 'A': 0, 'B': 1, 'C': 1}" }, "execution_count": 91, "metadata": {}, "output_type": "execute_result" } ], "source": "from sklearn.cluster import DBSCAN\n\ndbscan_labels = DBSCAN(min_samples=2,eps=0.7).fit((1 - v6_distmat_mm))\ndbscan_labels.labels_\nv6_dbscan_dict = dict(zip(v6_distmat_mm,dbscan_labels.labels_))\nv6_dbscan_dict" }, { "cell_type": "markdown", "metadata": {}, "source": "Neste caso espec\u00edfico o resultado \u00e9 id\u00eantico:" }, { "cell_type": "code", "execution_count": 92, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", 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" }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": "fig, ax = plt.subplots(figsize=(6,6))\n\nfor label, x, y in zip(v6_distmat.columns, coords[:, 0], coords[:, 1]):\n ax.scatter(x, y, c = \"C\"+str(v6_dbscan_dict[label]), s=250)\n ax.axis('equal')\n ax.annotate(\n label,xy = (x+0.3, y),)" }, { "cell_type": "markdown", "metadata": {}, "source": "## Deputada Cristina Rodrigues e o PAN\n\n\nComo referido opt\u00e1mos por n\u00e3o incluir a deputa\u00e7\u00e3o n\u00e3o-inscrita Cristina Rodrigues na an\u00e1lise principal, essencialmente pela mais reduzida quantidade de vota\u00e7\u00f5es. Fazemos aqui, contudo, duas an\u00e1lises de detalhes de forma a permitir uma leitura espec\u00edfica desta situa\u00e7\u00e3o.\n\n### Compara\u00e7\u00e3o com todas as vota\u00e7\u00f5es, assumindo votos do PAN\n\nNeste caso assumimos que os votos da deputada s\u00e3o os mesmos do PAN antes da sua sa\u00edda (condensamos todos os passos necess\u00e1rio para a constru\u00e7\u00e3o da matriz de dist\u00e2ncia e dendograma num \u00fanico bloco, seguindo-se as restantes an\u00e1lises sem explica\u00e7\u00f5es adicionais por redundantes):" }, { "cell_type": "code", "execution_count": 93, "metadata": {}, "outputs": [ { "data": { "image/png": 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K2Q1xcQf9kHa+8AI7X3iBxDvuJOH6fuwcO8bdwKhoaj76HIUTx8L+vJLFEV1TKF660N1svz9wvkJsHFEDh+Nr0qyclVz6YbRuj5O7FzK3wLHBvyfl7ZK69btQXn4YvD1yMA0S48nK3sNNg4bTokkjTjvh+LDn33/DVdx/w1W8+u5s3vxwAff+vc+hN3aYPv9xMwlxMbRrnMSKTb9vfj/6ZgN9Tm9X6bll/dHP4KPFy7jobHdnHS0vf/4XKxh46/Wc3+V05i1dzqAxrzH5uScqvE3btusC5XXU2caY7HKWY9t2NyCKwLTL/61gTiOgC/BahYurJGoKQig5OXkggV+OCklPTx98pFl5GZnEJP86VBrTqBH527cf6eYqzd45s2kycaK7TYHXS81Hn6N48QJ8yxf/utzjJeLMc9j/YH/3skvLzcG3bg3e49phxcaBxwt+H1ZiEv5dv7gSaTVphWWfjNX6JIiIhJpRWOdfDVExYHkCowW1EyCn3L9f7uT3uhVn1gRX8g7mwAl8iXXrkHJmR74zm0LaFBwq/+JzOnPH4JGuNAWr0zL57IdUlpg0Cop85BYU8siMBTx/9Xlk5+5n7bYdjOt3UaXnlnWw96DY5+OTZSuZOXZYyPNnfbqEJ27vB8AFf+vEoLGH/Xs5AHi6nOXPAIPLLPu3bdv5wF7gCuCBCmx/oG3btwDFwPPGGJf3YH5PTUFoRf2ZD/rDsXv1GuJatiCmaVP2Z2bSpHcv/nvrnaGI/p0azZpRmJYGQFxKCoWbUt3Nu/txnG1pFM+Z8Zvl3vYd8W/bgpO1073w2nXBVwy5OVCjBt72HSl6/018a1fj7dwN3xcLiejWE9+Kpa7EO4tm4iyaGbhzrI3nzAtwPpiA1edOrLYdAycantQZx6wJXX6IG4K8/Hz8foe4mGjy8vP5cvVa7rqmd9jz09IzS4bLFy1fTXOXzm94oGdnHugZ2AtfsWkbk5es4fmrzwPg47UbOadNM2pGuvun/49+Bl+tWUfzxo1oWC8x5PlJCfGsWPsjnU5qy/Jvv+fYRg0Od9NjgCnlLC+vy+5jjFl34I5t22cTOFfgj4wwxrx0uEVVJjUF1ZTj87Hmkcc4a+YMLK+XzW9NZ+9643pu8pixxHTqRER8PK2/+JKdY8cSd8451GjRHPwORenpZLp15QHgOf4kIrv1xJ+2kajRUwAoevNVfKu+wts1xd0TDAErPjFwSaTHA5aH4i8/xff1Mvxb06j54BBqXHcb/tQNFH/yoat1lOVf+G88V9yO1e1y2P4//GvcaUoOxjo9BavzBRBXB88dQ3B++g5n7hRXsrJ27+HuYYGrXXw+Hxef3YWuHdvzybKVDB3/Brv27OWOwc/TpsWxTHz2sZDl3zNsNGnpmViWRaOkejxzl3tXHhzMvG9/4pZzOriec7D3AOCjJV9xscuHDg6WHxNdk2GvTsXn91MzMpIh99xyWNsNHiI40mG2fwFrbNu+1hjzNpQcJrjIGBPazvkPWE44DzT/xSQnJw8+wpEC5734w+5oK8WVu38G4IeW7l3T/UfaBkcVcnu5+0fkj8TOWhbWGg7k+4bcFJZ871OTjop8Z+OqsOQDWK06hLWGA/m+WeHZifT2uhsI/+s/Cn4HKnTNSPCSxItLjxQEl7chcEniiUAuv16SODt4SeLXGikQERGpRowxzQ6yfD1w2UEeu9HFkipM31MgIiIigJoCERERCVJTICIiIoCaAhEREQlSUyAiIiKAmgIREREJUlMgIiIigJoCERERCVJTICIiIoCaAhEREQnS3Ach9GfmPqjsWkRE5LBVaO6DqkxzH1RAcnLyQCCqEjbVrBK2ISIi4go1BRUTdYR7+L+RnJx8xNsI9yyF4Z6lUbMkhn+WwnDnHwUz5IV9lkDNkhj+34HqTucUiIiICKCmQERERILUFIiIiAigpkBERESC1BSIiIgIoKZAREREgtQUiIiICKCmQERERILUFIiIiAigbzSsdo4Z8U9qde9GcVYWqT17AlD//vuplXIu+P0UZ2WR8cjDFO/YEZJ6GvToxinDh2J5vaROewszZpyreVa9JGre9yRW3URw/BQtmEPx3HeJvPpmIs69FGfvbgCK3nwV36qvQpZf86EhWMlNA+vE1sLJ3Uf+/TdWej7eCDw3DgRvJHg8OD9+jbN4NjQ/Hk9KX7AsKCzAP3si7Hbpd+BgNTRrg+fcq8DrxcncgjNnMjh+V0ro3v9eYqOj8Xo8eL0eZo4dxsdLl/PS2zPZtDWDd0c/y4mt3fuW0PLyD5g4cy4jJ73NV2+PJ75Obddq8Pn9XDnuHRrUjuOV/pfw1catjProS/yOQ2zNSIZdmcKx9eq6ll/ee/DjpjQGvzyJgsIivF4PT/+jPyfZrUKWvz51C0+/PJG8/QUkN6jHqIfvIi4mxpX8qkpNQTWzZ+a/2T1tKo1GjSpZljVhAjtHjwYg4YYbqHfPvWx/cpD7xXg8nDpyBEsu70teRgYpi+aTMW8++8wG9zJ9Pgonj8OfugGiYoh+YRK+b1YAUDRnBsWzp7uX/Qf5BaOeKlmlRv97cHJzXMovxj91JBQVgMeLp/9jOBvX4rnwevzvjINfMrE6dsPqejHOnEmhq2HTOjyX3YJ/2kjY9TPWOb2w2nfB+WapOzUAU4c/8ZsP3dbHNuHFJ+7n6Zcmupb5R/kAmTuzWPbNWhrVr+d6/rQvvqVlUgI5+YUADPngc17qdxEtGyQw/avveHXRSp7re66rNZR9D0ZOns5d1/bmrI4ns3jlGkZOns60EU+GLH/QixN45ObrOP3E45m54HMmzpzLfdf3rfRc27bTgHygAPACQ4HtwH+A0n8AvwMGBpc1NsZkl9pGN+B1oJUxJmST4unwQTWTt3Ilvuzs3yzz5/z6AWRFx0CIZsZM6HAqOambyd2yBaeoiK3vzyL5wgtczXR2ZwU+kAHy8/Bv24KVWN/VzMPN93bpTvHST9wroqgg8K/HG7hBYJ7NmtGB/64ZDTnZ5T7VtRocB3xFsCswl4WT+j3W8aH9LvmWTZNp0bhRSDPLGj5hGg/3v9b1ufa2Z+eweH0aV5zWtmSZBeQUBBqEffmF1K8d624R5bAsyMnbH6ghdz9JCfEhzd+8LZPTTmgDQOdTTmTBlyvdjOtjjGkPXA9MBuoBPxhjTi5162eMyQCWAFeXef6NwORQNgSgkYK/jPoPPkjdyy/Ht28fW667LiSZ0cc0JC89o+R+XkYGiR1ODUk2gJXUEE+L1vg3fI/3+JOIvKgPkd164tu4nsLJ4yB3X8jyD/C0PRknexdO5jYXgy08tz4NCUk4KxdBeir+uZPxXDMAiguhIB//xKHu5R+kBjxeOKYZZKZhHd8Raie4GG9x85MjALiqZw+u6tnDtayK5i9avooGifG0aXGs6/kjPlzCQxd2ITfYBAAM6dOdOyZ/SFSEl9ioGsy4q/L3kEsr7z14/NZ+3PLUCJ6f+BZ+x2H6qMEhzW99bGMWLV9FjzM78vEXy8n8Jeuwtmnbdl2gvGMu2aX38kszxqyxbXsf0PwPNj0JeBgYH8ypBVwOtDusAiuBmoLQyj+cmRIrY2bGA3a+8AI7X3iBxDvuJOH6fuwcO6ayNn1QlvX73aEQDVJAVDQ1H32OwoljYX8eRfPep+jdyeA4RF57GzX630PhS8+FLP+AiK4pFC9d6F4ugOPgf20w1IzGc9XdOPWT8XQ6D//0MZCeinXmBVjnXY0zd0pIa/C//yqe868GbwRO6vfg97kW//bIwTRIjCcrew83DRpOiyaNOO2E413Lq0j++HdmMXHoY65nf/7jZhLiYmjXOIkVm35tPqcu/Ybx/S+hfdOGTFy8mn/OXcqzfdxrlsp7D+Z/sYKBt17P+V1OZ97S5Qwa8xqTn3siZPnPDbiNoa9O5eXp79P9jA5ERhz2R+AA4Olylj8DDC7vCcHDAFHAT0Bb27a/KfXw+8aYIcAc4BXbttsaY34A+gLLjDFbD7fAP0tNQQilp6ePCHcNe+fMpsnEiSFpCvIyMolJ/nW4NqZRI/K3b3c9F6+Xmo8+R/HiBfiWLw4s27O75OHiT2YT9cSogzzZpXwAj5eIM89h/4P93csurWA/TprBanUiNGgS2FsHnO9X4LnuAULSn5XUcALOV/PxTwn+L9CiHSQ0dC22QWJgWDqxbh1SzuzId2ZTSJuCsvkr1/7Itp93ctndAwH4+Zdd9L7vCd79v2epn1C5J/utTsvksx9SWWLSKCjykVtQyB2T57B5x27aNw285z1Pas1tk2ZXam5Z5f0MZn26hCdu7wfABX/rxKCxE0Kaf/MVFzMp2JhtTs9k8co1h7vZMcCUcpaXN0rwb9u284G9wBVAEYHDBx3LrmiMKbRt+y2gP4ERg/7Ai4dbXGXQOQV/ATWaNSv577iUFAo3pYYkd/fqNcS1bEFM06ZYkZE06d2LjHnzXc+tcffjONvSKJ4zo2SZFZ9Y8t/eTmfj/59770F5+QDe9h3xb9uCk7XTtWxiav167kBEJFaLtji/ZEJUNCQ0AMBq0Q5+yfiDjbhRw/bAcghcndClJ86qz1yJz8vPLzlunZefz5er13LcsU1cyapo/omtW7Ls7fEsmvwiiya/SIN6Cbw/dlilNwQAD/TszGdP3MTCgTfywrXn06llY17qdzH78gtJ2xlojr/66X+0THLv8M3BfgZJCfGsWPsjAMu//Z5jGzUIaX5W9h4A/H4/42d8wNU9Uw5ru8aYbGNMWjm38pqCPsHzBs4yxlTkJKKJwPW2bR8PtAHc7doOQiMF1UzymLHEdOpERHw8rb/4kp1jxxJ3zjnUaNEc/A5F6elkhuLKA8Dx+VjzyGOcNXMGltfL5rems3e9cTXTc/xJRHbriT9tI1GjpwCByw8jup6Lp3nrwLD2jkwKX3k+pPm+VV/h7Zri7gmGAHF18Fx2M3g8YFk4P6yEn77F/+EbeK68K3D8Jj8X/5zJIa/BSrkSq3V7sDyBhiBtvSvxWbv3cPewwNU2Pp+Pi8/uQteO7flk2UqGjn+DXXv2csfg52nT4lgmPlv5w/kHyw+nCK+HIVd057435+GxoHZ0FENdPHRwsPcgJromw16dis/vp2ZkJEPuuSWk+VNnz+OtuYH/B8/rfBq9zz3blfwjYYxZa9v2NmAq8LYxpiAcdVhOyA7yVl3JycmDK/P4/hFwfmjp3jXVf6RtcFThvXh3OvpDuXJ34Gz13F6dw5IPEDtrWVhrOJDvG3JTWPK9T006KvKdjavCkg9gteoQ1hoO5PtmvRSWfG+vu4Hwv/6j4HegQteNBC9JvNgYs67UsnP4/SWJGcaYC0utcyfwL+AUY0zpcw9CRiMFIiIilcgY06ycZZ8Df/hNScaYV4BX3KmqYnROgYiIiABqCkRERCRITYGIiIgAagpEREQkSE2BiIiIAGoKREREJEhNgYiIiABqCkRERCRITYGIiIgA+prjCjkavuY4jNkiIhJQoa85rsr+El9znJycPJDAfNZHqlkllSIiInLU+ks0BUDUn9nTT05OPuLnVpZwT8YT7vxwTcgE4Z+USRMiBfPDNBkQHD0TAmlCpLBPiFTt6ZwCERERAdQUiIiISJCaAhEREQHUFIiIiEiQmgIREREB1BSIiIhIkJoCERERAdQUiIiISJCaAhEREQH+Ot9o+Jdg1Uui5n1PYtVNBMdP0YI5FM99l5oPDcFKbhpYJ7YWTu4+8u+/MaQ1RF59MxHnXoqzdzcARW++im/VV67UUFqDHt04ZfhQLK+X1GlvYcaMczXvoK//hruIOO1vUFyEf3s6BeOGQW5O5RfgjcBz40DwRoLHg/Pj1ziLZ2Nd0h/rmGaBb27P+hn/7IlQVFD5+UdJDSkjphBbswYeyyLC4+G9e6/i4+9+4uVPVpC6cxfv3N2XExq79y2Z3fvfS2x0NF6PB6/Xw8yxwxj31r95b/5nJNSuDcD9N/Tl7NNOca0Gn9/PlePeoUHtOF7pfwlfbdzKqI++xO84xNaMZNiVKRxbr65r+Xtzchn04gR+2rIVC4thA26jeeNGPDDiRdJ37CQ5qT6jB95LnVpxIcv/+ZddvPT2TDZtzeDd0c9yYusWrmRXZWoKqhOfj8LJ4/CnboBXIkAxAAAgAElEQVSoGKJfmITvmxUUjHqqZJUa/e/BcePD6BA1ABTNmUHx7OnuZZfl8XDqyBEsubwveRkZpCyaT8a8+ewzG9zLPMjr93+7kv3TxoPfR2S/fxB5RT+Kpv7Lhfxi/FNHBj5sPV48/R/D2bgWZ/50nMJ8AKzzrsI6vQfOl/+p/PyjpQZgym2XEx8bXXK/dYNEXux3IYPf/8y1zNKmDn+C+Dq1f7Pshst6cvMVF4ckf9oX39IyKYGc/EIAhnzwOS/1u4iWDRKY/tV3vLpoJc/1Pde1/GGvTaVrh/a8+PgACouKyS8o4NV3Z3NG+xO4re+lvPbuHCa89yEP3XRNyPJrx8by4hP38/RLE13JPMC27TQgP3iLApYC/wCuA8YAaaVW/9gYM9DVgg6DDh9UI87urMCHEUB+Hv5tW7AS6/9mHW+X7hQv/SSsNYRKQodTyUndTO6WLThFRWx9fxbJF17gaubBXr/vmxXg9wHgN+vwuPmeHNj79ngDN4DghzEAETXA7dlRj4YaymjZIIHm9eNDmhku27NzWLw+jStOa1uyzAJyCgINwr78QurXjnUtPycvj6/XrafPeecAUCMygtpxsXy6fBW9UroC0CulKwuXfx3S/JZNk2nRuJErmeXoY4w5GWgXvPUOLl9ojDm51O2oaQhAIwXVlpXUEE+L1vg3fF+yzNP2ZJzsXTiZ20Jeg/f4k4i8qA+R3Xri27iewsnjIHefq/nRxzQkLz2j5H5eRgaJHU51NbO08n4GABEpF1P8xacuBlt4bn0aEpJwVi6C9NTA4ktvwmp1IvySgX/BO+7lHwU1WFjc8vpsLAv6djqBvp1OcC2r3HzL4uYnRwBwVc8eXNWzBwBvzV3A7EVLOaF1Cx69+TrXhs5HfLiEhy7sQm6wCQAY0qc7d0z+kKgIL7FRNZhxV19XsgG2Zu4goU4tHhv9KmbzFtq1as7jt/cjK3sPSQmBxiwpIZ5d2XtCmh8T9Wcmyz1iUcHbbiD6EOuGnZqC6igqmpqPPkfhxLGwP69kcUTXFIqXLgxLDUXz3qfo3cngOEReexs1+t9D4UvPuVqCZf1+6vOQ7Zwe5GcQ2ecG8PnwLZ7vXrbj4H9tMNSMxnPV3Tj1k2FnOs6cSTiWhXXBdVjtTsf59otqW8Nb/7iCpNpxZOXkccvrs2hRP56OLZJdySrP2yMH0yAxnqzsPdw0aDgtmjTimgvP5R9X98ayYOy09/jnxLd4bsDtlZ79+Y+bSYiLoV3jJFZs+nUHYOrSbxjf/xLaN23IxMWr+efcpTzbp0el5wMU+/38sDGNQbffSPs2rRj26htMeG+OK1mHk3/f9X+uEbJtuy5Q3okY2caY7DLL/m3bdj7QElhgjFlg2/aNQIpt29+UWu8lY8zrf6qwSqSmoJIlJycPJNAV/mlHNN2z10vNR5+jePECfMsX/7rc4yXizHPY/2D/yijt8GvYs7vk4eJPZhP1xCjXy8jLyCQm+dehwphGjcjfvt313IP9DCK69cTbsQv5T93jfg0ABftx0gxWqxNwdqYHljkOzg8r8JzZ092mIMw1JNUO7IEnxsXQo11Lvtv6c0ibggaJgb3hxLp1SDmzI9+ZTZx2wvElj195QXfufGakK9mr0zL57IdUlpg0Cop85BYUcsfkOWzesZv2TRsC0POk1tw2abYr+QANExNoUC+B9m1aAXB+l05MeG8OiXXrsGPXbpIS4tmxazcJdeuENL8SDACeLmf5M8DgMsv6GGPW2bYdBcy0bXsAkE3g8EGfyijGDWoKKl/UEX2YV5Iadz+Osy2N4jkzfrPc274j/m1bcLJ2hqUGKz4RZ3dWoJZOZ+P/X6rrdexevYa4li2IadqU/ZmZNOndi//eeqfrueW9fu8pnYjs/Xf2P3EXFLp01j9ATC3wFUPBfoiIxGrRFv+yeRCfBLt3AGAddzJOVma1rSGvsAjHcYitWYO8wiKWbfgfd6ac7kpWufn5+fj9DnEx0eTl5/Pl6rXcdU3vkg9DgIXLVtL62Mau5D/QszMP9OwMwIpN25i8ZA3j+l3EWUMnkrZzN83qx/PVT/+jZVKCK/kA9RPqckz9RFK3ZdCicSO++nYdLZsm07JpMrMWLuW2vpcya+FSepzRIaT5lWAMMKWc5WVHCUoYY/Jt254LXAy8VxlFuElNQTXiOf4kIrv1xJ+2kajRU4BfL/3zdk1x9QTDQ9UQ0fVcPM1bB4aVd2RS+Mrzrtfi+HyseeQxzpo5A8vrZfNb09m73riaebDXX+OW+yEykqhnxgDgN99TON6FPcW4Onguuxk8HrAsnB9Wwobv8PQfCDWiwQLn5604H02r/OyjpIasfXncO+0jAIp9Dhedchxd7WNZuG4Tw2YvZlfufu6c/CFtjqnPhFsuq/z83Xu4e9hoAHw+Hxef3YWuHdvzyKh/8WPqFiwLkpPq88w9N1d69sFEeD0MuaI79705D48FtaOjGOrSoYMDBt1+Aw+PfJmi4mKaNEziuQG343cc7h/xIjM/+Yxj6tdjzGP3hTT/k2UrGTr+DXbt2csdg5+nTYtjmfjsYxXeZvAQwUEbgPLYtu0BzgZcvOyp8lhOiM8ADofk5OTBf2bv/XCe/2ezDsLJ7dW5kjdZMbGzlgEQ7vz34t27pvxQrtz9MxD+98A35Kaw5HufmnR05M96KSz5AN5edwPgbFwVlnyrVWCPOlzvwdHy+sOVX6qG35+oVI4ylyTWANYBtwOX8ftLEr82xtxSeZX+ORopEBERqUTGmGYHeWgK5R9+OGroewpEREQEUFMgIiIiQWoKREREBFBTICIiIkFqCkRERARQUyAiIiJBagpEREQEUFMgIiIiQWoKREREBFBTICIiIkGa+6CSn+/W3AeVvD0RETl8FZr7oCrT3AcVk5+cnDy4gus2c7EOERER16gpqID09PQRFV33MJqHwxLuGfr+qvmlawjXTI0HZmkM+yyF4c7XLImaJTH8syRWezqnQERERAA1BSIiIhKkpkBEREQANQUiIiISpKZAREREADUFIiIiEqSmQERERAA1BSIiIhKkLy+qTiJrEDXsXxAZieX1UrzsM4pmTMRKOoaaDw3BiquNP9VQMGYIFBe7UoJVL4ma9z2JVTcRHD9FC+ZQPPfdQH5y08A6sbVwcveRf/+NIcuPvOEuIk77GxQX4d+eTsG4YZCbU+n5ZTXo0Y1Thg/F8npJnfYWZsw4dwO9EXhuHAjeSPB4cH78GmfxbKzLb8U6pjn4i3HSN+N8NBX8vtDWcEl/rGOaBb4oNutn/LMnQlGBOzUAPr+fK8e9Q4PacbzS/xKWb9zKyI++pMjno11yEs/26UGE1539ou797yU2Ohqvx4PX62Hm2GElj02cOZeRk97mq7fHE1+ntiv58PvX//dX/k1uQREAu3L2c2KTJF664WLX8st7D9anbuHplyeSt7+A5Ab1GPXwXcTFxLiSvzcnl0EvTuCnLVuxsBg24DZ+/mUXL709k01bM3h39LOc2LqFK9lVmZqC6qSokPyn7oH8/eD1EjV8PL7Vy4m87GqK5ryD74uF1LjjYSJSLqH44w/cqcHno3DyOPypGyAqhugXJuH7ZgUFo54qWaVG/3tw3PpAPki+/9uV7J82Hvw+Ivv9g8gr+lE09V/u1HCAx8OpI0ew5PK+5GVkkLJoPhnz5rPPbHAv01eMf+rIwIetx4un/2M4G9firF2O88EEAKzet2Od0hVn1eehrWH+dJzC/EAN512FdXoPnC//404NwLQvvqVlUgI5+YX4/Q6Pv7uQSbf2oln9eMYtWM7sVT9yxentXMufOvyJ333oZ+7MYtk3a2lUv55ruQeUfv0Ab97Zp+Sx+6b9h+5tm7teQ9n3YNCLE3jk5us4/cTjmbngcybOnMt91/d1JXvYa1Pp2qE9Lz4+gMKiYvILCqgdG8uLT9zP0y9NdCXzANu204CLjTHryiz/G3CfMeZK27YdoJYxJse27c+BUcaYubZte4GJQEOgN/AI8HRwex8FtxMHbAfWG2M6VmbtOnxQ3eTvD/zrjQjcHAfviR3wLfsMgOLP5uHtdJZr8c7urMAHMkB+Hv5tW7AS6/9mHW+X7hQv/SSk+b5vVpTsGfvNOjxlanJDQodTyUndTO6WLThFRWx9fxbJF17gem7J3rfHG7gBbFz76+PpqVA7IfQ1BBsCACJqgIuTsW3PzmHx+jSuOK0tANl5+URGeGlWPx6AM1s3YcG6Ta7lH8zwCdN4uP+1rk+rU/b1l5ZbUMh/N22jR7uW7hZRjs3bMjnthDYAdD7lRBZ8udKVnJy8PL5et54+550DQI3ICGrHxdKyaTItGjdyJbOCegGzD/agbds1gHeBOOBSY0xe8KE1wA2lVr0SWO9GgWoKqhuPh6jRU4h54yN8367Evz09sFce/EB0snbgSXD/AxHASmqIp0Vr/Bu+/7W8tifjZO/CydwWlnyAiJSLKV693PX86GMakpeeUXI/LyOD6GMaup6LZeG5bTCeh8bgpH4faAIO8HixTuqMs2ntwZ/vYg3WpTfheWA0Vr2GOCs+dS1+xIdLeOjCLniswKdvfGwUxT4/67YF5pFYsHYT2/e4d/jIsixufnIEve99nHfmBV7nouWraJAYT5sWx7qWe0DZ11/awnWbOKNlY+KiarhaQ3nvQetjG7NoeWD+go+/WE7mL1muZG/N3EFCnVo8NvpVLr/nMQaNfY28/PxDP9F9FwEHGx6LBeYCe4CrjDGFpR77DDjJtu344P0bgCluFKjDB9WN3x84Vh8bR9TA4fiaNCtnpRDMxBwVTc1Hn6Nw4ljYn1eyOKJrCsVLF4YtP7LPDeDz4Vs83/USrHL+IIdkpnLHwf/aYKgZjeequ3HqJ8PO9EBNF/4dZ8sG+N9PYanBmTMJx7KwLrgOq93pON9+UenRn/+4mYS4GNo1TmLFpkDzaVkWL1x7PiM+XEpRsY/OxzXF63Fvd/3tkYNpkBhPVvYebho0nBZNGjH+nVlMHPqYa5kHlPf6S/vomw30cfGwyQHlvQfPDbiNoa9O5eXp79P9jA5ERrjzEVTs9/PDxjQG3X4j7du0YtirbzDhvTl/+lCFbdt1gbrlPJRtjMk+xHPbAZnGmF0HWeVl4CPgZmNM2b8UDoERhKtt2/4YiAHW4YJK+YkkJycPBKIqY1suaRbCrMOZZvkPpaenH/l2cnPwrVuD97h2WLFxgSFcvw8rMQn/rl8qo7yD83qp+ehzFC9egG/54l+Xe7xEnHkO+x/sH5b8iG498XbsEjjvIgTyMjKJSf51qDKmUSPyt28PSTYABftx0gxWqxNwdqZjnXUpVkwt/HNfDlsNADgOzg8r8JzZ05WmYHVaJp/9kMoSk0ZBkY/cgkIembGA568+r+S4+pcb/kfazj/8G/6nNEgM7NAl1q1DypkdWbn2R7b9vJPL7h4IwM+/7KL3fU/w7v89S/2E8j5jjtwfvf7s3P2s3baDcf0uqtTM8pR9D74zm7j5iouZFGyMNqdnsnjlGleyGyYm0KBeAu3btALg/C6dmPDenMrY9AACx/fLegYYfIjnXsYfHDoAPgZSgOOBH8p5fArwFoFzDaYeIuuIVVabFvWnPsBc5tZ0xuU5nGmWK13tuuArDpxVX6MG3vYdKXr/TXxrV+Pt3A3fFwuJ6NYT34qlrpZR4+7HcbalUTxnxm+We9t3xL9tC07WzpDne0/pRGTvv7P/ibug0L0z3kvbvXoNcS1bENO0KfszM2nSuxf/vfVOd0NjagV+Bwr2Q0QkVou2+L+ch3VKV6yWJ+CfNhLXR4rKq2HZPIhPgt07ALCOOxknK9OV+Ad6duaBnoGptlds2sbkJWt4/urzyMrJIzEuhsJiH69/vorbu1fq+Vkl8vLz8fsd4mKiycvP58vVa7nrmt4se3t8yTrd+9/LzDFDXbn64GCvH+DjtRs5p00zaka6O0h8sPcgK3sPiXXr4Pf7GT/jA67umeJKfv2EuhxTP5HUbRm0aNyIr75dR8umyZWx6TGUP2xfkQ7zMuDqP3h8BoHG4BPbts81xvymMTDGpNq2XQjcCpwYvFU6HT6oRqz4xMDleB4PWB6Kv/wU39fL8G9No+aDQ6hx3W34UzdQ/MmHrtXgOf4kIrv1xJ+2kajRUwAoevNVfKu+wts1xbUTDA+VX+OW+yEykqhnxgDgN99TOH6kq7U4Ph9rHnmMs2bOwPJ62fzWdPauN65mElcHz2U3g8cDloXzw0r46VusQRMgOwvPTU8Ealu/CmeJS78H5dWw4Ts8/QdCjWiwwPl5K85H09zJP4hJi1ez+Mc0/I7D1WecyBmtmriSk7V7D3cPGw2Az+fj4rO70LVje1eyDte8b3/ilnM6uJ5zsPdg6ux5vDU38DfgvM6n0fvcs12rYdDtN/DwyJcpKi6mScMknhtwO58sW8nQ8W+wa89e7hj8PG1aHMvEZyt+SCd4iOCwh5hs224E1DTGbD7E9t+0bdsCFtq2nVK2MQAGAi2NMVm2bR9uGRViOZVwkDM5OXnw0T5ScDTXVwFObq/OYQmOnbUMgL9qfuka3otvEJb8K3cHTo7zDbkpLPnepyYdHfmzXgpLPoC3190AOBtXhSXfahX4IA/Xe3C0vP5w5ZeqoUInogQvSYwCDnwhTDTwtjHmnuDjEUAhEGWMKSx9SWLw8X7ACAKHE/oCccaYh8pknBN8TqUOeWmkQEREpBIZY5qVvh88OXBKqUWnAFsOXGFgjDmnzPOn8ut5A4MPkvE5UOnHwNQUiIiIuMgYU/IFJbZt/xO4BLg3fBUdnJoCERGREDHGPAo8Gu46DkZfXiQiIiKAmgIREREJUlMgIiIigJoCERERCVJTICIiIoCaAhEREQlSUyAiIiKAmgIREREJ0twHVYPL09qJiEgFVGjug6pMIwUiIiIC6GuOq4ywz1D3F80/Gmo4kB/uWRp/aNkiLPltN6UCR8csieGepTDc+ZolsfrTSIGIiIgAagpEREQkSE2BiIiIAGoKREREJEhNgYiIiABqCkRERCRITYGIiIgAagpEREQkSE2BiIiIAPpGw+rJsvDc8hTsy8Y/YyzUrYfnijsgKhZn+xacDyaA3+dOtjcCz40DwRsJHg/Oj1/jLJ4NzY/Hk9IXLAsKC/DPngi7d4Qs37qkP9YxzQLfXJ71cyC/qCB0+ZffinVMc/AX46Rvxvloqns/g1Ia9OjGKcOHYnm9pE57CzNmnOuZx4z4J7W6d6M4K4vUnj0BqH///dRKORf8foqzssh45GGKd7jw8y/F5/dz5bh3aFA7jlf6X8Lj737CytQM4qJqAPBc3xSOb1TfleyUEVOIrVkDj2UR4fHw3r1XkZ2Xz4NvfUz67r0kx9fm/667gDoxUa7kw+9f/wFDZy/mg69/ZNWzd7iWDdC9/73ERkfj9Xjwej3MHDus5LGJM+cyctLbfPX2eOLr1HYlf29OLoNenMBPW7ZiYTFswG00b9yIB0a8SPqOnSQn1Wf0wHupUyvOlfyqSk1BNWR1Ohfnl0ysmtGB+z2uxFm+AOf7FVgXXo91SlecVZ+7E+4rxj91ZOAD1+PF0/8xnI1r8Vx4Pf53xsEvmVgdu2F1vRhnzqSQ5Tvzp+MU5gNgnXcV1uk9cL78T+jy1y4PNGOA1ft2d38GB3g8nDpyBEsu70teRgYpi+aTMW8++8wGV2P3zPw3u6dNpdGoUSXLsiZMYOfo0QAk3HAD9e65l+1PDnK1jmlffEvLpARy8gtLlj10YRfOP6mVq7kHTLntcuJjo0vuv/75Ks5o1Zhbu3Vkwmdf8/rnq3jwwi6u5Zf3+tdt+5l9+11ohg9i6vAnfvehn7kzi2XfrKVR/XquZg97bSpdO7TnxccHUFhUTH5BAa++O5sz2p/AbX0v5bV35zDhvQ956KZrKj3btu00IB8oALzAUGPMjOBj/wBeBk4xxnxT6jmfA22BFsaYnFLLRhlj5gbvRwHfA60JTJR3L3Abgd0dD7AUeBioC2wE1gWXFwL3GmOWHap2HT6obmrFY7U+CWfNkpJFVvM2OD98DYDz3TKsNqe6W8OBPXCPN3CDwK9vsEmhZjTkZIc2P9gQABBRAyphdtDDyt+49tfH01OhdoJ7+UEJHU4lJ3UzuVu24BQVsfX9WSRfeIHruXkrV+LL/u3P15+TU/LfVnSMu+8/sD07h8Xr07jitLau5hyORd+n0qvD8QD06nA8n36f6lpWea/f5/cz6qMvecjFRqQihk+YxsP9r3V1vsGcvDy+XreePuedA0CNyAhqx8Xy6fJV9ErpCkCvlK4sXP61e0VAH2NMe+B6YLJt2we6oJuARcF/y8oDHvyDbaYAnxlj/MCzQB+guzGmLYGGYh5w4I9LtjHmZGPMScDE4O2QNFJQzXjOvwb/wvegRnBYMjoO8vPA8Qfu790Fteq6W4Rl4bn1aUhIwlm5CNJT8c+djOeaAVBcCAX5+CcODWk+gHXpTVitToRfMvAveCfk+QB4vFgndcY//2338oOij2lIXnpGyf28jAwSO7jcEP6B+g8+SN3LL8e3bx9brrvO1awRHy7hoQu7kFtQ+JvlY+d/xSufruCMVk14oGdnakR4Xcm3sLjl9dlYFvTtdAJ9O51AVk4e9WvHAlC/diy7cve7kg3lv/63l31Ht7bNS2pwm2VZ3PzkCACu6tmDq3r2YNHyVTRIjKdNi2Ndzd6auYOEOrV4bPSrmM1baNeqOY/f3o+s7D0kJcQDkJQQz67sPa7WAWCMWWPb9j6guW3bxwD1gSuAr23bftgYU3roZjgwxLbtl40xv5SzucuA2bZtxxFoHk42xvwczPED7wPYtt2szPM+B0ZRAWoKqpPW7XFy90LmFjjWDiyzymnH3d1JA8fB/9pgqBmN56q7ceon4+l0Hv7pYyA9FevMC7DOuxpn7pSQ5bMzHWfOJBzLwrrgOqx2p+N8+0VI8wGsC/+Os2UD/O8nd7JLscr52bu8g/6Hdr7wAjtfeIHEO+4k4fp+7Bw7xpWcz3/cTEJcDO0aJ7Fi07aS5fdf0Jl6tWIo8vl5euYiXv98Ff9IOd2VGt76xxUk1Y4jKyePW16fRYv68a7klKe8179jbw7z125kym29Q1bH2yMH0yAxnqzsPdw0aDgtmjRi/DuzmDj0Mdezi/1+ftiYxqDbb6R9m1YMe/UNJrw3509v17btugSG5svKNsaUO/xp23Y3IAr4CRgMvGGM2WLb9jcEPuTfLbV6OjAVeAK4v8x2PEAPAocMTgQKjDGmgqVfDsyoyIpqCkIsOTl5IIFfkENKT08ffDjbtpq0wrJPxmp9EkREQs0orPOvhqgYsDyB0YLaCe4O3ZdWsB8nzQT2zhs0Kdljdr5fgee6B1zvTX7NPwEn+KGM4+D8sALPmT3dawoOkm+ddSlWTC38c192NzcoLyOTmORGJfdjGjUif/v2kGT/kb1zZtNk4kTXmoLVaZl89kMqS0waBUU+cgsKeWTGAp6/+jwAakR4ubzj8UxessaVfICk2oGT1xLjYujRriXfbf2ZxLgYdu7NpX7tWHbuzSWh1PkGlam813/p/71NpNfLBSOnApBfVMT5z09l/iP9XKkBoEFioBFKrFuHlDM7snLtj2z7eSeX3T0QgJ9/2UXv+57g3f97lvoJlTt62TAxgQb1EmjfJnD+yPldOjHhvTkk1q3Djl27SUqIZ8eu3STUrXO4mx4APF3O8mcIfOCX9m/btvOBvQRGBvKAa4Ezg49PIXAI4d0yzxsO/Gjb9ugyy88AvjXG7LdtuyIHX+oGG4/6BD7rz6jAc9QUhEHU4X7YV5SzaCbOopmBO8faeM68AOeDCVh97sRq2zFwouFJnXGMe38MiakFvmIo2A8RkVgt2uL/ch5WVDQkNIBdP2O1aAe/ZBx6W5WVv2wexCeVXO1gHXcyTlZm6PK/nId1SleslifgnzYS94dqAnavXkNcyxbENG3K/sxMmvTuxX9vvTMk2WXVaNaMwrQ0AOJSUijc5N7x9Ad6duaBnp0BWLFpG5OXrOH5q88r+UB2HIdPv0+ldUN3zuvIKyzCcRxia9Ygr7CIZRv+x50pp9OtbXNmrfqRW7t1ZNaqH+neroUr+eW9/tJXHwB0eHK8qw1BXn4+fr9DXEw0efn5fLl6LXdd05tlb48vWad7/3uZOWaoK1cf1E+oyzH1E0ndlkGLxo346tt1tGyaTMumycxauJTb+l7KrIVL6XFGh8Pd9BgCH+Zllben1ccYs+7AHdu2+wC1gU9t24bAOX0NbPv/2bvzuKjq/Y/jrzODGyCyCCTjitpxzVTU0mu5ZWJWLrlUt8zMzDLTbvnTsiuWJmX3ure5phc1zXLJay65pnk1NZfUrwtiCriEogKCMHN+f8xAROAWZwbx83w8eMicWd6fM4wzn/M958xXr6SUOpl9O6XUeV3XJ/PnJqMzsNT1+y9AaV3X71aqwCOHk5VS9+q6bgXG4xwpaHad9ZOm4E7gWPsVlm790Vp3gdO/4ti92bww33JYHu8LFgtoGsaBHXBkD47lX2Dp/opz/Do9FceyWe7LP7wXS59hULIMaGCcOYmxYq778o/sQRsxDZKTsDz/NgDGoZ0Ym5abU4OLYbeze+hwHli8AM1q5XjMfC4dutHRxltnmzAR72bN8AoIoOYPWzg3cSK+rVpRMrwaOAwy4+NJNPnMg/wMXbCa86lXMAyDWmHBjOzSypScpMtpDJq7AoAsu8EjDe+mpV6F+hVDGBLzHYt3HKCCf1nG/z3SlPyiIOnCRQaOcW7o2u12Oj3YgpYRDdxaw4j+vXlz3FQys7KodFcI7w/uj8MwGBI9icVr1lMhuDwThr92U4/p2kVwq0OtzwMDlVLTsxfouv4Z0BvIe5DVeOAw4Mi1rBPwoauOFNdIwue6rvdQSp11jR48BWwDcs53VkrZdV0fChzWdf1xpdRSrqpMrmcAACAASURBVEEzCmEno81mizJr67cwFKX6brEWw/5ufgeqms/6T+dpg3dqflGoITt/UUCoR/K7XzgDwIHq5mzZXk8d16iCfckUj+QDWDsP9GgNRSXfOLrTI/lajcYezc9Vww2dM+E6JbFT9kiBruthOI8psOU+9kDX9QeAWUANYD1/PP1wIDAZeBQ4BnymlHog1301nMcdvJBdIs5TEofiPO7hJ6VU+Vy3fxYYrJS65tHGMlIghBBCFCKlVNU8lxOAP532oZTaBFR3XWyV57opwBQAXdeH8fuug+zrDeDfrp+8koHyeW4/B+dBjNckTYEQQghRhCmlot2VJV9eJIQQQghAmgIhhBBCuEhTIIQQQghAmgIhhBBCuEhTIIQQQghAmgIhhBBCuEhTIIQQQghAmgIhhBBCuMjXHLvZrX7NsRm1CCGEuCk39DXHt7M75RsN0202W5Sni3Cp6ukChBBCiPzcEU1BfHy8274i8nputTnx9GQ8d2p+UaghO9/TExJ5ekImmRDJ8/kyIVLxJ8cUCCGEEAKQpkAIIYQQLtIUCCGEEAKQpkAIIYQQLtIUCCGEEAKQpkAIIYQQLtIUCCGEEAKQpkAIIYQQLtIUCCGEEAK4Q77R8I6jaVhe+CdcTsaxYCJakzZozR5CCwzFPm4QXEkxL9vqheW5YWAtARYLxsGfMDYuhaq1sDzUE6xWjMQTGMtmgeFwW772aB+0ClWd31yedAbH0hmQmVH88oEK0R9Qtk1rspKSiI2MBCB4yBDKtnsIHA6ykpJIGPomWWfPmpKfV2jb1jQcOxrNaiV2bgxqwmS35NodDrpP/pJQP18+6fMoby1cw47YBHxLlwTg/R7tqB0WbEp2u+jZ+JQqiUXT8LJYWDSoJ9/tPcLUNduJPXeeLwf2oF5Fc78h0pPrD9CmzyB8ypTBarFgtVpYPHEMk2O+YtGq9QT6+QEwpHcPHmzS0JT8SympjJg0jSMnTqKhMWbwi5z57TxT5i3m2MkEFo5/j/o1PfMtoUWZNAXFkNbsIYzfEtFKlQHAOHkU4/AeLL3/z/xwexaOOeOcH3gWK5Y+wzGO7cfy+As45o6D82fQWnVGa9AC4+fN7sk/ug9j1XyMq+kAaO17ojVti7Hlv8UvH7i4+CsuzJ1D2Ecf5SxLmjaNc+PHAxDYuzflXx3E6XdGmJL/BxYLjcZFs6lLD9ISEmi3bhUJK1dxWR02PXruD3uoHhJISvrVnGVvdGzBw/fUMD0bYPaLXQjwKZNzuWZoEJOe7UjU1+vdku/p9QeYM/ZtAsr5/WFZ78cj6dutk+nZYz6fQ8vGDZj01mCuZmaRnpGBn48Pk94ewsgpM0zN1nU9DkgHMgArMFoptcB13cvAVKChUurnXPfZANQBwpVSKbmWfaSU+tbUgnOR3QfFTdkAtJr3YOze9Puy07/CxST31ZC9BWyxOn8MA+yZcN75HfZG7C9otU38HvG8+QCuD2QAvEo6ayqm+Wk7dmBPTv7DMkfK76NDWhlvc9c/l8DGjUiJPU7qiRMYmZmc/HoJto4dTM89nZzCxkNxdGtSx/SsG1U9NJBqwQFuySqK6+9OKWlp/LT/EE+0bwVAyRJe+Pn6UL2yjfCKYe4q4wmlVAPgGWCWruvlXcufB9a5/s0rDfiHm+rLl4wUFDOWh5/EsXYRlCztuSI0DUu/kRAYgrFjHcTHOj8cK1SFxDi02hHgF+jefEB77Hm0GvXhtwQcq78svvkFCP7HP/Dv0gX75cucePppt2SWqXAXafEJOZfTEhIIatzI9Nzo5Zt4o2MLUjOu/mH5xFU/8sn327mvRiVej2xOSS+rKfkaGi9MX4qmQY9m9ejRrJ4pOQXx9PoDaJpG33ecc9H1jGxLz8i2AMR8u5ql6zZTr2Y4/9f3acqV9S307JOJZwksV5bh4z9DHT9B3RrVeKv/s3iXdv/7olJqt67rl4Fquq5XAIKBbsBPuq6/qZTKvR9xLPCurutTlVK/ub1YpCkoXmo2wEi9BIknoIruuToMA8fnUVCqDJaeAzGCbTi+/gzLw73A6oUR+ws47G7N51w8xrKZGJqG1uFptLpNMfb8UDzzC3DuX//i3L/+RdBLAwh85lnOTZxgeqam/Xn6ebMHKTYcPE6grzd1K4aw/dipnOVDOjSnfFlvMu0ORi5ex/QNO3m5XVNTaoh5uRshfr4kpaTxwvQlhAcHEBFuMyUrr6Kw/gDzxkURGhRAUvJFnh8xlvBKYTzZ8SFe7tUVTYOJcxfxwYwY3h/cv9CzsxwODhyNY0T/52hQqwZjPvuCaYuW8dozPf7S4+q67g/453NVslIqOZ/l6LreGigNHAGigC+UUid0Xf8ZeBxYmOvm8cAc4G1gyF8q9hZJU+B+6Tc6fXJ8fPwN3S6bVqkGmn4vWs17wKsElCqN1rkfxpJpt1LnX5dxBSNOodWoh/HjKhyzXTNYh9eFwLvcm38u3rnMMDAObMdyf6T5H8qezi/ApWVLqTRjhluagrSERLxtvw/XeoeFkX76tKmZu+ISWX8glk0qjoxMO6kZVxm6YDUf9moPQEkvK10iajNr027Tagjxc279Bvl607ZudfaePOO2pqAorD9AaJBzV0mQfzna3R/BXnWMJvVq51zfvUMbBowaZ0r2XUGBhJYPpEEt5/ETD7doxrRFywrjoQcDI/NZPgrnB35uX+m6ng5cwjkykAY8Bdzvun42zl0IC/PcbyxwUNf18YVR8M2SpsDN4uPjo816bGPdYox1i50XquhY7u/g/obAuyzYsyDjCniVQAuvg2PLSufytMvOo/NbROLYbNJxM/nlb10JASFwwXm0vXb3vRhJicUzvwAlq1blalwcAL7t2nH1WKxbci/s2o1v9XC8K1fmSmIilbp25n/9Bpia+Xpkc16PbA7A9mOnmLVpNx/2as+5S6kE+/lgGAbf/xJLzbvM2YWVdjUTwzDwKVWStKuZbD38KwNM3CLPy9PrD5CWno7DYeDrXYa09HS27NrHK0925ez5C4QEOpuFtVt3ULNKRVPygwP9qRAcROypBMIrhvHjnv1Ur1woTdkEnB/meeU3SvCEUmp/9gVd158A/IDvdV0H5zF9obquV1JKncy+nVLqvK7rk/lzk+EW0hTcAbSm7dCadwDfclheehfjyF6Mb2ebE+ZbDsvjfcFiAU3DOLADjuxBa9cdrWYD0CwYO9dD3CH35R/ei6XPMChZBjQwzpzEWDG3eOYDtgkT8W7WDK+AAGr+sIVzEyfi26oVJcOrgcMgMz6eRHeceQAYdju7hw7ngcUL0KxWjsfM59Ih5ZbsvIYuWM351CsYhkGtsGBGdmllSk7S5TQGzV0BQJbd4JGGd9NSr8La/ccYs3Qj51OvMGDWcmpVCGbaC4+bUkN+3LX+AEkXLjJwjHND12630+nBFrSMaMDQjz7mYOwJNA1sIcGMerWvaTWM6N+bN8dNJTMri0p3hfD+4P6s2bqD0Z9+wfmLl3gp6kNqhVdhxnvDb/gxXbsI8t1NcAOeBwYqpaZnL9B1/TOgNzA6z23HA4cBE87bvjbNKIQdfDabLepmh7rFTTHs7+Z3oKr5rP+cCcCdml8UasjOP1DdM+dU13GNKiwKMPe8+oJ0v+A8a8W+ZIpH8gGsnQd6tIaikm8c3emRfK1GY4/m56rhzwfJ5MN1SmKn7JECXdfDcB5TYMt97IGu6w8As4AawHpynX6o6/pAYDLwqDtPSZSRAiGEEKIQKaWq5rmcAPjkc7tNQHXXxVZ5rpsCuL0LlO8pEEIIIQQgTYEQQgghXKQpEEIIIQQgTYEQQgghXKQpEEIIIQQgTYEQQgghXKQpEEIIIQQgTYEQQgghXKQpEEIIIQQgTYEQQgghXGTug9uDyTPQCyGEuAE3NPfB7UxGCoQQQggByIRIt407dXay7HyZIU/yPTVLI+SaqfEOnS00J/8OnaURfn8vKu5kpEAIIYQQgDQFQgghhHCRpkAIIYQQgDQFQgghhHCRpkAIIYQQgDQFQgghhHCRpkAIIYQQgDQFQgghhHCRpkAIIYQQgHyjYbHTps8gfMqUwWqxYLVaWDxxDN9t3saUeYs5djKBhePfo37N8GJdQ7vo2fiUKolF0/CyWFg0qCff7T3C1DXbiT13ni8H9qBeRXO/Hc/ucNB98peE+vnySZ9H2Xb0JONWbCHTbqeuLYT3nmiLl9W8njxv/lsL17AjNgHf0iUBeL9HO2qHBRfb/NxC27am4djRaFYrsXNjUBMmmxto9cLy3DCwlgCLBePgTxgblwKgte6KVicCHA6MnRswtq8tfvkueV8DIxZ9zy/xZzAMqFrenzE92uFTqqRp+fm9D02cu5Dvt+3EolkI9Pdj7JCXCA0KMK2G25E0BcXQnLFvE1DOL+dyzSqVmPT2EEZOmXHH1DD7xS4E+JT5PT80iEnPdiTq6/VuyZ/7wx6qhwSSkn4Vh8PgrYVrmdmvM1WDA5i8ehtLdx6kW9O6bsnP9kbHFjx8Tw3TMotSfg6LhUbjotnUpQdpCQm0W7eKhJWruKwOm5dpz8IxZxxkZoDFiqXPcIyj+9DKh4FfII6pbwMGeJctnvkueV8Dwx5tmdMUfrB8M/O27qVf6whTa8j7PtS3Wydee6aH87pl3/Hx/K8ZNbBvoefquh4HdALeAH5SSnnue9pvkuw+uANUr2wjvGLYHV1D9dBAqgW7Z4vgdHIKGw/F0a1JHQCS09Ip4WWlqiv//pqVWL3/mNvy3c3T+bkFNm5ESuxxUk+cwMjM5OTXS7B17GB+cGaG81+L1fkDaBGtMDYtI2fS07TLxTY/v9dAdkNgGAbpWVlomvsnHPT19s75/Up6Bh4oociTkYJiRtM0+r4TDUDPyLb0jGx7x9WgofHC9KVoGvRoVo8ezeq5NT96+Sbe6NiC1AznFlKAT2my7A72nzpDvYqhrN53jNMXU9yWn23iqh/55Pvt3FejEq9HNqekl7VY5udWpsJdpMUn5FxOS0ggqHEj03PRNCz9RkJgCMaOdRAfCwEhaHWbotVqBGmXcXwXA+fPFsv8gl4Dby1cy2YVR/WQQIY+8jdTsrMV9D40/osvWbpuM2V9vPli7AhTa7gdSVNQzMwbF0VoUABJyRd5fsRYwiuF0aRe7TuqhpiXuxHi50tSShovTF9CeHAAEeE2t2RvOHicQF9v6lYMYfuxU4DzzelfTz1M9PLNZGbZaX53ZawWczZR8ssHGNKhOeXLepNpdzBy8Tqmb9jJy+2aFrv8vPLbGjUM02PBMHB8HgWlymDpORAj2AZeXpCViWP6u1CrEZbHnscxO7rY5Rf0GgDnsSR2h4MxSzexcs8Rupo4mlTQ+9CQ3j0Z0rsnny1cyn+Wr2bQ35+44cfUdd0f8M/nqmSlVHKhFe9B0hQUwGazDQNKe7KG+Pj4qJu9T/ZBM0H+5Wh3fwR71TG3NwWeriHEz9eZ7+tN27rV2XvyjNuagl1xiaw/EMsmFUdGpp3UjKsMXbCaD3u15z8DnG8+Ww7/Stw5c94/rpUPUNLLSpeI2szatLtY5ueVlpCIt+333VbeYWGknz7tlmwAMq5gxCm0GvXg0gWMgz85lx/aBY+5YRpkD+Rf7zVgtViIbFCTmRt3mdoUXO99qFOr5rwUNe6mmgJgMDAyn+WjgKhbr7bokKagYKVv5UPZk9LS03E4DHy9y5CWns6WXft45cmud1QNaVczMQwDn1IlSbuaydbDvzLADVuk2V6PbM7rkc0B2H7sFLM27ebDXu1JSkkjyNebq1l2pm/YSf825hxgVVD+uUupBPv5YBgG3/8SS827Aotlfl4Xdu3Gt3o43pUrcyUxkUpdO/O/fgPMDfUuC/YsyLgCXiXQwuvg2LIS1G60arUxfv4BquiQdKZY5uf3Gvig50Oc+C2ZKuX9MQyD9QeOm3qMT0HvQ3HxiVS1VQBg3bZdVLv545wmALPzWV4sRglAmoJiJenCRQaOGQ+A3W6n04MtaBnRgDVbdzD60y84f/ESL0V9SK3wKsx4b3ixrCHpchqD5q4AIMtu8EjDu2mpV2Ht/mOMWbqR86lXGDBrObUqBDPthccLPb8gMzfuYuPBOByGQa/76nNfjUpuywYYumA151OvYBgGtcKCGdml1R2Rb9jt7B46nAcWL0CzWjkeM59Lh5S5ob7lsDzeFywW0DSMAzvgyB6MXw9j6foiWrP2kJmO49vZxTM/H4bhPJ4gJeMqhmGgVyjPyC6tTcsr6H3o1THjiYtPRNM0wkLKM+qVmzvzwLWLoNg0APnRjELYwWaz2aJut63q6yli62QYR3d6JFir0dhZgIfz7Us8d0aPtfNAj9Yg+c78RQHmfrfEtXS/4Nyqtr/rhiH/fFj/ObNo5Hv4NeCp9yHIeS+6oYOB8pyS+DiQmuvqF5VS/y3k8gqNjBQIIYQQhUgpVdX163MeLOOWyPcUCCGEEAKQpkAIIYQQLtIUCCGEEAKQpkAIIYQQLtIUCCGEEAKQpkAIIYQQLtIUCCGEEAKQpkAIIYQQLtIUCCGEEAKQrzkuUBFbJ3dM9iqEEOLazJnzvAiRkQIhhBBCADL3wW3D0xMS3an5RaEGT08KVVQmRPLUZEDw+4RAnpqUSSZk8uyETPD767C4k5ECIYQQQgDSFAghhBDCRZoCIYQQQgDSFAghhBDCRZoCIYQQQgDSFAghhBDCpViekmiz2YYBpf/iw1QthFKEEEKI20axbAqA0n/12whtNttfur8QQghxu5HdB0IIIYQAiu9IwR2rTZ9B+JQpg9ViwWq1sHjiGCbOXcj323Zi0SwE+vsxdshLhAYFuLWGbDMWf8u4mfP4cd6nBJTzc1v+5JivWLRqPYF+zswhvXvwYJOGbsvP5o71bxc9G59SJbFoGl4WC4sG9SQ5LZ1/xHxH/IVL2AL8+PfTHSjn/Vf3sN1cDd/tPcLUNduJPXeeLwf2oF5Fk74d0OqF5blhYC0BFgvGwZ8wNi4FQGvdFa1OBDgcGDs3YGxfa04NuYS2bU3DsaPRrFZi58agJkw2N7CA9dce7YNWoarz2/uTzuBYOgMyM9xaQzatw1No9/4NR/TL5uS72B0Ouk/+klA/Xz7p8yjbjp5k3IotZNrt1LWF8N4TbfGyyrZxbtIUFENzxr79hw+cvt068dozPZzXLfuOj+d/zaiBfd1aA0DiuSS2/ryPsODypmYXlN/78Uj6dutkenZB+e5c/9kvdiHAp0zO5ekbdnJfjYr0ax3BtPU/MX3DTv7RsYVba6gZGsSkZzsS9fV6U3OxZ+GYM875gWexYukzHOPoPrTyYeAXiGPq24AB3mXNrQPAYqHRuGg2delBWkIC7datImHlKi6rw+ZlFrD+xqr5GFfTAdDa90Rr2hZjy3/dWgPxsVChKpT2Nic3j7k/7KF6SCAp6VdxOAzeWriWmf06UzU4gMmrt7F050G6Na1rSrau6yWAd4BeQCbOkfn/At8BSwEFlHTdfBXwnlLqguu+rYFooJTrJxFop5Ry5JOzAagMXMJ5LN0nSqmJuq5XBY4C+13ZqcAApdTP16pbWqQ7gK/37/8Br6RnoHlonq+x0+byZp+n7oB5xvLnyfVf90ssnRvXBqBz49p8/0us22uoHhpItWDzRqj+IHsL2GJ1/gBaRCuMTcvImXQ07bLpZQQ2bkRK7HFST5zAyMzk5NdLsHXsYHpufuuPqyEAwKskFMIMuTddg6Zheag7xtpF5mYDp5NT2Hgojm5N6gCQnJZOCS8rVV2vwftrVmL1/mNmljALqAs0VkrVBe7B2QiUAg4opRq6lt8HlAW+13Xdquu6F7AY6KeUulcpVRv4B9eeLXeQUupe4CHgXV3XG7iWJ7se4x5gATDzekXLSEExo2kafd+JBqBnZFt6RrYFYPwXX7J03WbK+njzxdgRbq9h3badhAYFUCu8iqnZBeUDxHy7mqXrNlOvZjj/1/dpypX1dVu+W9cfjRemL0XToEezevRoVo+klDSC/XwACPbz4XzqFbfX4FaahqXfSAgMwdixzrmFGhCCVrcpWq1GkHYZx3cxcP6sqWWUqXAXafEJOZfTEhIIatzI1Ewg//UHtMeeR6tRH35LwLH6S7fXoDVth6F+hpSL5mYD0cs38UbHFqRmXAUgwKc0WXYH+0+doV7FUFbvO8bpiymmZOu6XhPoAlRUSl0GUEplAp/rut4q922VUpd1XX8ZOAZ0ALYCPsCZXLfZfSO5SqmTuq4r4G5gR56r1wDvX+8xpCkoZuaNiyI0KICk5Is8P2Is4ZXCaFKvNkN692RI7558tnAp/1m+mkF/f8KtNXz65RJmjB5uWub18p/s+BAv9+qKpsHEuYv4YEYM7w/u77Z8d65/zMvdCPHzJSkljRemLyHcXVvn16khItzmvgIMA8fnUVCqDJaeAzGCbeDlBVmZOKa/C7UaYXnseRyzo00tQ8tnWM7sDfTskD+t/7l4jGUzMTQNrcPTaHWbYuz5wX01VL4brU4THF98YF6my4aDxwn09aZuxRC2HzsFOP8W/3rqYaKXbyYzy07zuytjtdzcsJ2u6/6Afz5XJSulknNdbggcyd4dcD1KqUxd13cDdZVSK3RdnwYc0XV9I7AFiFFKnbyB+uoAtYC9+VzdHbhucyFNwQ0qpO8+uCm3clpl9gGEQf7laHd/BHvVMZrUq51zfadWzXkpapypTUHeGnbsO8ipM+d4fOAwAM78dp6ur73Nwn+/R3Bgfv+/Cjc/73PQvUMbBowaV+i5BeW7e/1D/JwjIEG+3rStW529J88Q5OvNuUupBPv5cO5SKoG59vWbIb8a3NoUZMu4ghGn0GrUg0sXMA7+5Fx+aBc8Zv40wGkJiXjbwnIue4eFkX76tOm5OXKtv3Eu3rnMMDAObMdyf6S5TUHeGqrWgsAQLK+6GrESJbEMHItjSuE3y7viEll/IJZNKo6MTDupGVcZumA1H/Zqz38GON/7thz+lbhzydd5pD8ZDIzMZ/koICrX5VvZSZhzH6XUQF3X/w20ASKB4bquRyiljhRw30m6ro8G0oH+SinlOqbAX9f1n12PHQs8d70ipCm4cX/5uw/MlpaejsNh4OtdhrT0dLbs2scrT3YlLj6RqrYKAKzbtotqFcOu80iFX8PWeZ/m3KZNn0EsnjDalKPvC8o/e/4CIYHOD+u1W3dQs0rFQs++Vr7b1v9qJoZh4FOqJGlXM9l6+FcGtGtK6zrVWLLzIP1aR7Bk50Ha1A0v9Ozr1eA23mXBngUZV8CrBFp4HRxbVoLajVatNsbPP0AVHZLOXP+x/qILu3bjWz0c78qVuZKYSKWunflfvwHmhua3/ltXQkAIXHDuLtHuvhcjKdG9NWxZifHvITk3sQz72JSGAOD1yOa8HtkcgO3HTjFr024+7NWepJQ0gny9uZplZ/qGnfRvE3GzDz0BmJ3P8rzdxS6gpq7rATcyWuA6KPFeIOeNQikVi/ODfLqu6yuBR3Vd/wXIHmqJUUplb90MUkp9m19drmMNbpg0BcVI0oWLDBwzHgC73U6nB1vQMqIBr44ZT1x8IpqmERZSnlGvmHfmQUE1uEtB+UM/+piDsSfQNLCFBDPqVXOeA4+v/+U0Bs1dAUCW3eCRhnfTUq9C/YohDIn5jsU7DlDBvyzj/x7p9hrW7j/GmKUbOZ96hQGzllOrQjDTXni88AvwLYfl8b5gsYCmYRzYAUf2YPx6GEvXF9GatYfMdBzfzi787DwMu53dQ4fzwOIFaFYrx2Pmc+mQMjc0v/U/vBdLn2FQsgxoYJw5ibFirntrOLLHvLwbNHPjLjYejMNhGPS6rz731ah0U/d37SK47vCCUuqIruvLgM90Xe/rOm7ACgzEeexADl3XfYGPgN+AVa7LzYE1SinDtcuiGnBcKbUK55kKptGMQtjBZbPZoorSVnRh1JP3MTy8joZxdKdHgrUajZ0F3KH5RaGG7Hz7kikeybd2Hlg08t81f7i/wBr+6Txoe1GASd+tcB3dLzhHNTz1HGSvv8fzPfQahJzX4Q3vFtB1vSTOXQ3dgav8fkriKpynJB4GSrgecxXwrlLqgq7rZYH/4Dw2IB3nxvsCpdR7BeRsAD7KO1Lg2n3wk1Lqps6BlpECIYQQopAppa4Cb7t+8irwixpcZyvc8BCaUqpVAcvjgJv+UhT5ngIhhBBCANIUCCGEEMJFmgIhhBBCANIUCCGEEMJFmgIhhBBCANIUCCGEEMJFmgIhhBBCANIUCCGEEMJFmgIhhBBCANIUCCGEEMJF5j64wcfw9NwHHsoVQgjxu1uZEvm2InMfFCzdZrNF5bpc1UN1CCGEEG4hTUEB4uPjo3NfztMguJ3HZ6i7Q/OLQg2SX3RmSfT0LIEen6XRw6+BojBbanEnxxQIIYQQApCmQAghhBAu0hQIIYQQApCmQAghhBAu0hQIIYQQApCmQAghhBAu0hQIIYQQApCmQAghhBAu0hQIIYQQApBvNCyW7A4H3Sd/SaifL5/0eZS/f/IVqRmZAJxPuUL9SiFM6d3Jbfk/Hj3JRyu24DAMfEqVYEz3dlQp729aflGooaj9DbKNXrqRb346yM73XjItO7/8txauYUdsAr6lSwLwfo921A4LNifc6oXluWFgLQEWC8bBnzA2LgVAa90VrU4EOBwYOzdgbF/rtnzt0T5oFao6vz0/6QyOpTMgM6Pw8/MIbduahmNHo1mtxM6NQU2YbHom/Pk18Ob8Vfxy6ixeVgv1K4US1bU1JaxW0/Lb9BmET5kyWC0WrFYLiyeOYXLMVyxatZ5APz8AhvTuwYNNGppWw+1ImoJiaO4Pe6geEkhK+lUA/jPgiZzrXpv7X9rUqebW/He/2cCUZx+hemgg83/cy2frdvB+j4eKdQ1F7W8AsP/UGS5fMf9DqKD8Nzq24OF7apgfbs/CMWec8wPXYsXSZzjG0X1o5cPALxDH1LcBA7zLuJltXQAAIABJREFUujXfWDUf42o6AFr7nmhN22Js+a85NWSzWGg0LppNXXqQlpBAu3WrSFi5isvqsLm5/Pk10Kmhzoe92gPw5vxVLN5+gF731ze1hjlj3yagnN8flvV+PJK+3cxryLPpul4CeAfoBWTiHJn/L/AdMFYpFZHrtvWAb5VSVU0v7Dpk90Exczo5hY2H4ujWpM6frkvNuMr/jp2ibd3qbs3XgJQM5xvD5fSrBPv5mJZfFGooin8Du8PBRyu28EbHFqblXivf7bK3wC1W5w+gRbTC2LSMnElH0y67NR9XQwCAV0kohBlqryewcSNSYo+TeuIERmYmJ79egq1jB9Nz83sNPFirKpqmoWka9SuFcvpiiul1eNgsoC7QWClVF7gHUEApj1Z1HTJSUMxEL9/EGx1bkJpx9U/Xrd1/jPuqV8wZwnVX/rtPtOGlWcsp7WXFp3RJFrzSw7T8olBDUfwbzNu6l9Z1qpnekBWUDzBx1Y988v127qtRidcjm1PSy7yhYzQNS7+REBiCsWMdxMdCQAha3aZotRpB2mUc38XA+bPuywe0x55Hq1EffkvAsfpLc7JzKVPhLtLiE3IupyUkENS4kem51/o/kGm3s2yXYvhjLU2tQdM0+r7jnNeuZ2Rbeka2BSDm29UsXbeZejXD+b++T1OurO8NP6au6/5Afvsdk5VSybluVxPoAlRUSl0GUEplAp/rut7qFlfJLaQpuHF5p1I2XXx8/E3lbTh4nEBfb+pWDGH7sVN/un7Fz4d5omndwirvhvPnbP6ZT/s8SoPKdzFj4y4++HYz7z3RtljWUBT/BmcvpbBq31Fmv9jVtNxr5QMM6dCc8mW9ybQ7GLl4HdM37OTldk3NK8QwcHweBaXKYOk5ECPYBl5ekJWJY/q7UKsRlseexzE7+roPVWj55+Ixls3E0DS0Dk+j1W2KsecHc/JdNE3LrzRTXe//wHvfbCCiWhgR1Wym1jFvXBShQQEkJV/k+RFjCa8UxpMdH+LlXl3RNJg4dxEfzIjh/cH9b+ZhBwMj81k+CojKdbkhcEQpdaGAx6mj6/rPuS6XvpkizCRNwQ3KO5VyUbQrLpH1B2LZpOLIyLSTmnGVoQtW82Gv9iSnXmHfqbNMfvYRt+a/NGsZx89eoEHluwCIvKcmL85cWmxrKIp/g8f+PY8SVisdxs0BID0zk4c/nMOqoc+6JT97/QFKelnpElGbWZt2F3p2vjKuYMQptBr14NIFjIM/OZcf2gWPuWEa5Fz5xrl45zLDwDiwHcv9kaY3BWkJiXjbwnIue4eFkX76tKmZ13oNTF3zP86nXmFS1zam1gAQGhQAQJB/OdrdH8FedYwm9WrnXN+9QxsGjBp3sw87AZidz/LkPJf/3I390YH8jim42WLMIE1BMfJ6ZHNej2wOwPZjp5i1aXfOm/F3+47SqlZVSpUw70+eX/7kZx/hgdEziDt3garBAfx45FeqhwQW2xqK4t8g99kHAI3f+dSUhqCg/A97tefcpVSC/XwwDIPvf4ml5l3mvQbwLgv2LMi4Al4l0MLr4NiyEtRutGq1MX7+AarokHTGfflbV0JACFxw7q7Q7r4XIynRnPxcLuzajW/1cLwrV+ZKYiKVunbmf/0GmJpZ0Gvgq+2/sOXwr8x8sQsWy/U+M/+atPR0HA4DX+8ypKWns2XXPl55sitnz18gJNDZLKzduoOaVSre1OO6dhHkbQDyswuoqet6wDVGC4okaQruECv3HOGFVo3dnutltfButza89p+VWDTwK1Oa0SbtOijKNYDn/gZFwdAFqzmfegXDMKgVFszILq3MC/Mth+XxvmCxgKZhHNgBR/Zg/HoYS9cX0Zq1h8x0HN/Odl/+4b1Y+gyDkmVAA+PMSYwVc83Jz8Ww29k9dDgPLF6AZrVyPGY+lw4p03PzM+qb9YT5l+XJqYsAeKheddN2ISVduMjAMeMBsNvtdHqwBS0jGjD0o485GHsCTQNbSDCjXu1rSr5S6oiu68uAz3Rd76uUuqzruhUYCBwzJbSQaEYh7GCy2WzDKEL7RICq8fHxz3m6iEJk2JdM8UiwtfNAAO7U/KJQg+S78t91w3B/QTX8c6ZHa8jOXxQQ6pH87hecoyqefg0YR3d6JB9Aq9EYrr9bIIeu6yVxHn/QHbjK76ckrqIIn5JYKCMFRW1/u7sPCBRCCCFyU0pdBd52/eS1Js9t9wNV3VDWdcn3FAghhBACkKZACCGEEC7SFAghhBACkKZACCGEEC7SFAghhBACkKZACCGEEC7SFAghhBACkKZACCGEEC7SFAghhBACKKSvOS5qbDZb1M1OO1zEFb8/khBC3H7MncmpCJCRAiGEEEIAMkvibcNTE4G4JgG5Y/OLQg2S78wvEpNieXhCJE9PSHSnTsgEvz8HxZ2MFAghhBACkKZACCGEEC7SFAghhBACkKZACCGEEC7SFAghhBACkKZACCGEEC7SFAghhBACkKZACCGEEC7SFAghhBACkG80LHba9BmET5kyWC0WrFYLiyeOYUj0JI6fSgTgUmoqfj4+LJky1q01HDwWR9TUmWRczcRqtTDy5T7co9cwJf9SSiojJk3jyImTaGiMGfwi1SqG8Xr0JOLPnsMWEsz4YYMoV9bXlPz81v9Q7AlGTp1B2pUMbKHl+ejNV/D19nZbfrYZi79l3Mx5/DjvUwLK+ZmSX1ANk2O+YtGq9QT6OXOH9O7Bg00amlaD3eGg++QvCfXz5ZM+jzJi0ff8En8Gw4Cq5f0Z06MdPqVKFn6w1QvLc8PAWgIsFoyDP2FsXJpztdbhKbR7/4Yj+uXCz84l7/q/OX8Vv5w6i5fVQv1KoUR1bU0Jq9XUGrKFtm1Nw7Gj0axWYufGoCZMdktuUXoObhfSFBRDc8a+/Yc3/PHDBuX8Hj39P5Q16cPoWjWMmzWfV57qygMR97Jxx27GzZrP3Oh3TMke8/kcWjZuwKS3BnM1M4v0jAw+W7iU+xrU48Uej/H5wmVMW7ScN55/0pR8+PP6j5g0jaF9n6Zp/dosXr2BGYu/5bVnergtHyDxXBJbf95HWHB503KvV0PvxyPp262TW/Ln/rCH6iGBpKRfBWDYoy3xLe1sAj5Yvpl5W/fSr3VE4Qfbs3DMGQeZGWCxYukzHOPoPoiPhQpVobT5///gz+vfqaHOh73aA/Dm/FUs3n6AXvfXN78Qi4VG46LZ1KUHaQkJtFu3ioSVq7isDpse7annQNf1OCAdyACswGjga2AC8CBgxzlS/75Sap6u662A/wIKyO5UVwHvKaUuFHqB1yC7D+4ghmHw3eZtPPLg/W7P1jRISbsCwOXUK4QEBpiSk5KWxk/7D/FE+1YAlCzhhZ+vD99v20nndi0B6NyuJWu3/WRKfkGOn0qkSb1aADRvWJ/VW3a4NR9g7LS5vNnnqTtgnjc4nZzCxkNxdGtSJ2dZdkNgGAbpWVlomolPRGaG81+L1fkDoGlYHuqOsXaRebku+a3/g7WqomkamqZRv1Iopy+mmF4HQGDjRqTEHif1xAmMzExOfr0EW8cOpucWgefgCaVUA+AZYBbwGhAE3KOUuge4D8j9RnBAKdVQKVXXdV1Z4Htd1906lCEjBcWMpmn0fScagJ6RbekZ2Tbnup9+OUSQfzmq2iq4vYa3+j3LC/+M5sMZMTgMg/kfRZmSfTLxLIHlyjJ8/Geo4yeoW6Mab/V/lqTkizmNSEhgAOeTL5qSD/mvf80qFVm3bSdt74/gux+2kfhbklvz123bSWhQALXCq5iWe70aAGK+Xc3SdZupVzOc/+v7tGm7cKKXb+KNji1Izbj6h+VvLVzLZhVH9ZBAhj7yN1OyAWcD0G8kBIZg7FgH8bFoTdthqJ8hxbzXXraC1h8g025n2S7F8Mdaml4HQJkKd5EWn5BzOS0hgaDGjUzPLSrPgVJqt67rl4FWwFGllN21PAU4UsB9Luu6/jJwDOgArDC9UBdpCoqZeeOiCA0KICn5Is+PGEt4pTCa1KsNwIqNW3nkweYeqWHVD9sZ1u8ZHm7RlJWbtzFiwufMev/tQs/Ocjg4cDSOEf2fo0GtGoz57AumLVpW6DnXkt/6vz/4RUZ/Noep87+mzX2NKeFl3n+9/PI//XIJM0YPNy3zRmp4suNDvNyrK5oGE+cu4oMZMbw/uH+hZ284eJxAX2/qVgxh+7FTf7ju/R7tsDscjFm6iZV7jtA111ZkoTIMHJ9HQakyWHoOxKh8N1qdJji++MCcvFyutf4A732zgYhqYURUs5leC5DviIxhmJtp1nOg67o/4J/PVclKqeQC7tMaKA1EA1/qut4G2AJ8p5RaUlCWUipT1/XdQF2kKXA/m802DOcfrsiIj4+Putn7hAY5t4aD/MvR7v4I9qpjNKlXmyy7nTVbd/zhoDOz5FfDku838Xb/ZwHo8LdmjJg4zZTsu4ICCS0fSINazoMYH27RjGmLlhHkX46z5y8QEhjA2fMXCPQvZ0o+5L/+fbt1YqbrQ/l4fCIbd+x2W/6OfQc5deYcjw8cBsCZ387T9bW3Wfjv9wgOzO/9rfBryH4dZuveoQ0DRo0zJXtXXCLrD8SyScWRkWknNeMqQxesztmXbLVYiGxQk5kbd5nXFGTLuIIRp9Cq1oLAECyvOkdPKFESy8CxOKYUfqN2rfWfuuZ/nE+9wqSubQo9tyBpCYl428JyLnuHhZF++rSpmSY+B4OBkfksHwVE5Vn2la7r6cAloJtSarOu6+HAA8DfgMm6rndQSr10jTy37+yTpuB3pW/lQ7goSUtPx+Ew8PUuQ1p6Olt27eOVJ7sC8OPu/VSrGMZd5YM8UkNIYADb9x2k2T112LbnF6qEmTMve3CgPxWCg4g9lUB4xTB+3LOf6pVtVK9sY8nazbzY4zGWrN1M2/sam5Jf0PonJV8kyL8cDoeDTxd8Q6/Idm7N3zrv05zbtOkziMUTRpt29kFBNWQ3ZQBrt+6gZpWKpuS/Htmc1yOdI2Lbj51i1qbdfNDzIU78lkyV8v4YhsH6A8epFmzOcS14lwV7FmRcAa8SaOF1cGxZifHvITk3sQz72JSGAPJf/w97teer7b+w5fCvzHyxCxaL+z5rLuzajW/1cLwrV+ZKYiKVunbmf/0GmJpp4nMwAZidz/L8RgmeUErtz71AKZUOrAZW67q+AlgD5NsU6LpeArgX+DS/680iTUExknThIgPHjAfAbrfT6cEWtIxoAMCKTT/SyQ27DgqqwbtMKcZ8Nge7w0GpEiV499UXTKthRP/evDluKplZWVS6K4T3B/fHYRgMiZ7E4jXrqRBcngnDXzMlu6D1n7N0JTHfrgGgffMmdH3oQbfmu1NBNQz96GMOxp5A08AWEsyoV/u6rSbDcB5PkJJxFcMw0CuUZ2SX1uaE+ZbD8nhfsFhA0zAO7IAje8zJugmjvllPmH9ZnpzqPNDxoXrVebldU9NzDbud3UOH88DiBWhWK8dj5nPpkDI9Nz9/9Tlw7SLIdzfB9ei63hI4rJQ641rUCDhewG19gY+A33CeheA2mmH2zh0PsNlsUTe71X8r93Ejwzi60yPBWg3nFvWdml8UapB8Z759yRSP5ANYOw901vDu857J/+dMZ76HnoPs9V8UYM4I3/V0v+D8HC0Cr4EbGl5wnZLYKfdIga7rzwCv4zzl0A6cBYYopfblOiXxMFDClbMKeNfdpyTKSIEQQghRiJRSVfNZNheYW8DtNwDu+QKL65DvKRBCCCEEIE2BEEIIIVykKRBCCCEEIE2BEEIIIVykKRBCCCEEIE2BEEIIIVykKRBCCCEEIE2BEEIIIVykKRBCCCEEIE2BEEIIIVxk7oO/cB83Kn5/JCGEuP24fSpjdyuucx+k22y2qJu8T1UT6hBCCCFuG8WyKYiPj4++2fvcQhPhVp6eoe5OzS8KNUh+0XkNeHqWQk//DTy9/p6apRF+n6mxuJNjCoQQQggBSFMghBBCCBdpCoQQQggBSFMghBBCCBdpCoQQQggBSFMghBBCCBdpCoQQQggBSFMghBBCCJdi+eVFd7I2fQbhU6YMVosFq9XC4oljOHgsjqipM8m4monVamHky324R6/h1hoOxZ5g5NQZpF3JwBZano/efAVfb29T8i+lpDJi0jSOnDiJhsaYwS9y5rfzTJm3mGMnE1g4/j3q1ww3Jbuo5lerGMbr0ZOIP3sOW0gw44cNolxZX7fW4M7nIL/X4MS5C/l+204smoVAfz/GDnmJ0KAA02qwOxx0n/wloX6+fNLnUbYdPcm4FVvItNupawvhvSfa4mU1Z7ssv/WfHPMVi1atJ9DPD4AhvXvwYJOGpuTDn9f/zfmr+OXUWbysFupXCiWqa2tKWK2m5ecW2rY1DceORrNaiZ0bg5ow2S25tyNpCoqhOWPfJqCcX87lcbPm88pTXXkg4l427tjNuFnzmRv9jltrGDFpGkP7Pk3T+rVZvHoDMxZ/y2vP9DAle8znc2jZuAGT3hrM1cws0jMy8PPxYdLbQxg5ZYYpmUU9/7OFS7mvQT1e7PEYny9cxrRFy3nj+SfdWoM7nwP482uwb7dOOa+5Ocu+4+P5XzNqYF/T8uf+sIfqIYGkpF/F4TB4a+FaZvbrTNXgACav3sbSnQfp1rSuafl51x+g9+OR9O3WybTM3HKvP0Cnhjof9moPwJvzV7F4+wF63V/f/EIsFhqNi2ZTlx6kJSTQbt0qElau4rI6bFqkrutxQDqQAViB0cDXwATgQcCOc6T+faXUPNMKuQWy++AOoGmQknYFgMupVwgJNG/rqCDHTyXSpF4tAJo3rM/qLTtMyUlJS+On/Yd4on0rAEqW8MLP14fqlW2EVwwzJfN2yP9+2046t2sJQOd2LVm77Se31+Cu56AguUemrqRnoJk4tc3p5BQ2HoqjW5M6ACSnpVPCy0rVYOf/vftrVmL1/mPmFeBhedcf4MFaVdE0DU3TqF8plNMXU9xSS2DjRqTEHif1xAmMzExOfr0EW8cO7oh+QinVAHgGmAW8BgQB9yil7gHuA8x5I/wLZKSgmNE0jb7vOKd+6BnZlp6RbXmr37O88M9oPpwRg8MwmP9RlNtrqFmlIuu27aTt/RF898M2En9LMiX7ZOJZAsuVZfj4z1DHT1C3RjXe6v8s3qVLm5J3u+QnJV/MaQZDAgM4n3zR7TW46zmA/F+DAOO/+JKl6zZT1sebL8aOMC0/evkm3ujYgtQM51ZygE9psuwO9p86Q72Koazed8zUD8WC1j/m29UsXbeZejXD+b++T5u2Cynv+ueWabezbJdi+GMtTcnOq0yFu0iLT8i5nJaQQFDjRm7JBlBK7dZ1/TLQCjiqlLK7lqcAR9xWyA2SkYJiZt64KL6e9D7T3v0/5q1Yw479B5n/37UM6/cMG76YwvB+zzBiwudur+H9wS8Ss2INXQe9ReqVdEp4mdOPZjkcHDgax5Md2/HN5LGUKV2KaYuWmZIl+UW3hvxegwBDevdkwxdT6NSqBf9ZvtqU7A0HjxPo603diiE5yzRN419PPUz08s30nPwlPqVKYLWYN1SR3/o/2fEh1kyfwJLJYwkO8OeDGTGmZOe3/rm9980GIqqFEVHNZkp+Xlo+Q0LGLU5Gr+u6v67rVfP58b/GfVoDpYFooLuu6/t0Xf9U1/XOt1aFuWSk4He3Mt2yqeLj46Nu9j7ZB04F+Zej3f0R7FXHWPL9Jt7u/ywAHf7WjBETpxVqnTdSQ99unZg5ejgAx+MT2bhjtynZdwUFElo+kAa1nAdSPtyimVs/kIpqfpB/Oc6ev0BIYABnz18g0L+c22twp/xeg03q1c65vlOr5rwUNY5Bf3+i0LN3xSWy/kAsm1QcGZl2UjOuMnTBaj7s1Z7/DHDmbTn8K3Hnkgs9O9v11r97hzYMGDXOlOxrrf/UNf/jfOoVJnVtY0p2ftISEvG2/b7byjssjPTTp2/14QYDI/NZPgqIyrPsK13X04FLQDel1GZd18OBB4C/AZN1Xe+glHrpVosxgzQFLrcy3XJRk5aejsNh4OtdhrT0dLbs2scrT3YlJDCA7fsO0uyeOmzb8wtVwsybfrSgGpKSLxLkXw6Hw8GnC76hV2Q7U/KDA/2pEBxE7KkEwiuG8eOe/VSv7J4tkqKcX72yjSVrN/Nij8dYsnYzbe9r7PYa3KWg12BcfCJVbRUAWLdtF9VMOr7h9cjmvB7ZHIDtx04xa9NuPuzVnqSUNIJ8vbmaZWf6hp30bxNhSn5B65/dFAKs3bqDmlUqmpJf0Pp/tf0Xthz+lZkvdsFi4ihJXhd27ca3ejjelStzJTGRSl07879+A2714SYAs/NZnl+H94RSan/uBUqpdGA1sFrX9RXAGkCaAmGOpAsXGThmPAB2u51OD7agZUQDvMuUYsxnc7A7HJQqUYJ3X33B7TXMWbqSmG/XANC+eRO6PvSgaTWM6N+bN8dNJTMri0p3hfD+4P6s2bqD0Z9+wfmLl3gp6kNqhVdhxnvD75h8h2EwJHoSi9esp0JweSYMf82U7GvV4K7noKDX4KtjxhMXn4imaYSFlGfUK+adeZCfmRt3sfFgHA7DoNd99bmvRiVTcgpa/6EffczB2BNoGthCghn1qnvXf9Q36wnzL8uTUxcB8FC96rzcrqnpuYbdzu6hw3lg8QI0q5XjMfO5dEjd0mMppZLJvwG4Ll3XWwKHlVJnXIsaAcdvqRATacat7lwR7mQYR3d6JFir4dyivFPzi0INkl90XgP2JVM8km/tPBDw/N/A0+u/KMC8Uc7r6X7hDMANDXG4TknslHukQNf1Z4DXgZI4T0k8CwxRSu0r7Fr/ChkpEEIIIQqRUqpqPsvmAnPdX83NkbMPhBBCCAFIUyCEEEIIF2kKhBBCCAFIUyCEEEIIF2kKhBBCCAFIUyCEEEIIF2kKhBBCCAFIUyCEEEIIF2kKhBBCCAFIUyCEEEIIF5n74PYgfyQhhPA8903v6CEy98Htodi/EIUQQnie7D4QQgghBCBNgRBCCCFcpCkQQgghBCBNgRBCCCFcpCkQQgghBCBNgRBCCCFcpCkQQgghBCBNgRBCCCFcpCkQQgghBCBNgRBCCCFcpCkQQgghBCBzHxRLuq53AnRgt1JqnafrEaIo0XW9g1LqOxMfvwEwE7gb2A08p5SKNStPiMIkTUExo+v6WKAnsAMYout6tFJqihvzjwIzgDlKqXh35eap4X2l1Fuu359XSs3Mdd3nSqkXTc7ffq3rlVJNzcwviK7rjwIjlVIRJud0vNb1Sqn/mpl/Az4HKpv4+B8DXwBrgB7AOKCbiXl/ouv6ca4xu6pSKtwNNWhAB6Cua9F+YJVSyi2zvuq63gvYoZQ65rr8MfAUcBz4u1LqF3fUcbuRpqD46Qzcq5S6pOt6GLAEcFtTAPQDegMHdF3fgnOLaalSKtONNXQA3nL9PtBVQzZTPxBd6gAHgNmA2994dF2/H2djVgmYD4wBvgTuAt5xQwlv5rPMAKoDFQGrG2q4FrNnHfVVSk1y/T5K1/WfTc7LTyfXvxqwCHjCneG6rvsD3wPlcY6WaMCrwDld19sqpS66oYy3gPtc9TwOPAK0BxoD412/izykKSh+riilLgEopRJ0XXfr31gptR5Yr+v6QJxbSa8BH+u6Pg+YqZTa64YytAJ+z++yGUKB7jibo2eBOcB8pdQFN2QDTAQmARuArsA2YCEwVCmVYXa4Uqp17su6rlcConAOpw8yO/8GmL2las9z2WFy3p/k3grWdf2KB7aK3wF2Ai8rpbJcdZQAJgP/BP7hhhqM/2/vzmPsKss4jn8HY6eUUpAAKkvShra/WgoKpBEwWNwA2SqFsNSQtODWCkhkDwVM0yCGKAZTwtJIGwUsUmOxBU0KhgpBSlLKYsmPRQqlVkCFRGq0ho5/vOfCndOZaU3mvOcuz+eve87p9Hkzc+89z3mX57X9r+L1CcCdttcAayR9M0P8thRJQefZR9LcwY5t35KjEbbfJT2h/1TSJNKN8ULyPCX2DfJ6oONhZ3sLqZdgsaSxwCzgWUmX27676vhAr+1bi9fXF3//i3N12zZI2guYB5xDuhlMbPqSrjr23EEu9QC7VRz+EElvNh1/pDjuId2o9q04fis4DjiykRAA2P6vpEuAJ8iTFDR/1xxdill3b1XLiqSg86wCpg5ynPumMAmYDZwLbAK+nSn0OEn3DvC6BxibqQ1I2oP0hHIc8BLwcqbQ5SfVN3MmBJJGAZcCc0jJ4OSMvSQNU4e4dn/FscdX/P+3g54iOe7H9hZJudrwiKR7gL+ShjFWA0jaF8g5nNlWIinoMLZn1xlf0hjgbOA8YBxwF3Cc7ecyNuPiptcrS9dWVB1c0pdJQweHkrrtZ9reUHXcJnU/qb4CbCF1E28Cjmq+EWSaaHhjhhgDsv2qpENIwyXP2H4xdxskPckHDwEqT37NMNl1qGGqrRXHbriYNHw5DTjTdiPuROBHmdrQdiIp6DCSTgXG2P556fzXgDds/6biJmwCHiF9Kd+feYJhw13AacDbtldJ+g7wReAFYH6G+CuBtcADwChgbummeHnF8et+Un2edEOaOcC1PtLvpWorGbhnrKc4X9nse0kXkd5nTof6hu17d/Bjw+0qoBd4t3R+NEPfsIfLpEFW4fSQbso5zCD9Hf4JrJQ0w/bDth8FHs3UhrYTSUHnuZJ0QyxbCdwHVJ0UTLS9ueIYO7IQmAKMlPRnYFdSD8E04DZST0aV5pN5qKbkbWCvcu+EpHHA36sObvvYqmPsRBvG1Rj+W8AU269LmgwsIvUY5XQ8YNuLmk8WCcsBpGHFKg25LDWTq4Gjba+T9DngOiDqtuxAJAWdZ7TtN8onbW+WNDpD/O+TJtYhaZ7tBY0LklbYPnmwHxxGx5DWRo8CNgN7294q6XYgx+qHG2z/e6ALxTyLqt0IPAhsKJ0/Cvgs6aaVlaT9Se+LWbYesMfzAAAHbUlEQVQn5I6f2X9svw5ge72kkTW04UTSA0LZQuBpoNLeKtuPVPn/76RtttdBWhUl6Yd1N6gdRFLQeUYNca3qWdcAn2x6PQNY0HS8f4b4kL6U+4Atkl5ujCXa3iYpx3jmrySdYrvfhD9JnyAVtDmg4vjH2N5uyZXtuyVdXXHs9xVL0KYD5wPHklZknJcrfo3GlAo49TvONKdiW/n9V8R+T1LlSyRbpHDQiOIz11iGPLL52Pb6DG1oO5EUdJ5nJM0sL30rPqQ5J/vB9jUBcnWp9zZ9+HvLXwwZ4r8J3CPprMas/6INqxj46W24DfWlX/nfQNKhpJv/TFLhmiWkFQhzqo7dIl6jfwGnjU3HueZUjJA0qrwEtOgt7M0QvxUKB41i+99147jSeSXtLJKCznMlaSnOSaT1wACfBj5PGlOv2lA1AnIpfxk0v87RpvNIVeRuB77e1ENwRXkCaFUk7W37b6Vz+5CneNM6UjW7I2xvLGIvGPpHOke5eFNNlgJLJJ3fKGZWLJG9jfTerFrthYNsj80Rp9NEUtBhbL8gaSpwKykb34VUWezSTBMAm5c/Nb/ONuu47i+DYpjibGCFpDtJKx9yFS4CuANYVtwQXgKQNJ6UpNyRIf4FpPoUqyUtJtUq6GqSLrGdc0x7Pmm4ZpOkxpLICaQaDd/LED8KB7Wpnr6+OidJh+Em6SzgTtIynF7gdNsPZYw/jVQoZCzwItCvxnmLTECqVNP48WjSxK4HgV80rucYUy6ezL8LNCY8jgRusp1zTsEU0nyCmcDupOJVyxpPrt1E0lrbh9cQdzxwGCkpX9tIEjPEXQjsRSocdCYwrpjsuy/w2zp+F2HnRE9B5xloGU62pIC06U5zUjKjC7dvbh5Pfo60MVHWMWXb85R2zJxMuiH8aaAKc1UpShz3kt5/lwOnkoZVbiYlCN0mx7DNdookIEsiUBKFg9pUJAWdp7wMJ/cHsOvXBtc9pqy0ffXDwHJgVY5NkErxy71VM2wvIw1pfDxnW1rIFXU3ILMoHNSmIinoPOVlOP1m32dYhlN3UlK7ovb/YLY2bxJTkYNJ8ximAzcrbd27HFhh+x8Vx4YhEsMWKGyVnaSDgMmSdrW9vO72ZNL1DwftKuYUdBhJGxh8hn2f7UqX4UhaD5zOB0nJfc3H3bA2uFgH3sfAXcZ9pKJCF2aaW9BDWhr2FeBk4C1gue2bKoy5zvanmo6fsn1YVfFajaRVwCW2n5Z0APAs8DhpL5Cf2b6+1gZmMMB7oJY5FeH/Fz0FHabumffE2mBs7zLYNUkfAg4nda/nmFvQR7ohPQ5cUVRUnF5x2Lp7q+q2n+2ni9dfBR6yfYakPYE/AB2fFBCFg9pWJAVhWLVAUlI7SUuBXwMP2C6vvngPeFJSZbs1lqrpbcf2D6qKXej2xLC5xPVnSO8FbL8jqeqho1bR7e+BthVJQQjD72ZSd/01kv5CGs+/3/arjX9gu8rKhpcNcK4POIhUYrnSdeKRGLJV0sGkypbTgIuartWxD0J28R5oX5EUhDDMbD8GPAZcVuySNx1YKmkEqft4se2nKozfb/WDpANJBWsm0v8GFapxFbCa9LS8qLFbpaQvkbZTDqFlxUTDEDKRtB9pl8Y1tivfWraoFTAPOAf4CfDjci38UI1i7sjutt9pOrcb0GP73fpaFsLQIikIISNJG20fWHGMUcClwBxSieEbbL9dZczQX7Hq4wTS8lBIRax+19ggK4RWFcMHIeSV46bwCrAFuBbYBBwl6f2Lmbbu7VrFKoOHSOW+nyLNuL8QeEvSF8qTT0NoJZEUhDDMinkEg8nxmXuelHzMHOBarq17u9k1pE3I5jYKVUn6MGkI51r6bw4UQkuJ4YMQhpmkV4a4XHkBqVAvSc8CR5b3mijmFDxhe0o9LQthx6KnIIRhZntc3W0ok7Q/MAuYZXtCzc3pdD0DbT5le0vzME4IrSiSghA6VNFlPZ20ffGxwGLSToWhWkNtQLV1iGsh1C6SghA6jKRDSTf/maSJbkuAybbn1Nqw7jFJ0poBzveQakWE0LIiKQih86wjzX4/wvZGAEkL6m1SV5lO2jK6XI9gNEP3IoRQu0gKQug8FwCzgdWSFpNqFYR8jgdse1HzSUkXkcpMr6qlVSHshEF3cwshtCfbt9ieCpwC7An8EfiYpNmSxtTbuq5wImkXzLKFxbUQWlYkBSF0oKLEcS9wHenp9FzgDFIxo1CtbcVumP0U57bV0J4QdlokBSF0GElnAa+TihS9Bhxje5ntk4iJbjmMKEpN9yNpNClRC6FlRVIQQue5Gjja9keB00hV9ACwvbm2VnWPpcCS5qEaSXsAi4Bf1taqEHZCJAUhdJ5tttcB2P49sEfN7ek280mrDDZJWitpLann5j3SFtYhtKwocxxCh5G0HjidtC4e4L7mY9vra2paV5E0HjiM9Htfa/ulmpsUwg5FUhBCh5G0gcF3Y4y9F0IIg4qkIIQQQghAzCkIIYQQQiGSghBCCCEAkRSEEEIIoRBJQQghhBCASApCCCGEUPgfkqQAbxrDxAMAAAAASUVORK5CYII=\n", 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" }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": "cr_votes_hm = votes[['BE', 'PCP', 'PEV', 'L/JKM', 'PS', 'PAN','PAN/CR','PSD','IL','CDS-PP', 'CH']]\ncr_votes_hmn = cr_votes_hm.replace([\"A Favor\", \"Contra\", \"Absten\u00e7\u00e3o\", \"Aus\u00eancia\"], [1,-1,0,0]).fillna(0)\n\n\n## Transpose the dataframe used for the heatmap\ncr_votes_t = cr_votes_hmn.transpose()\n\n## Determine the Eucledian pairwise distance\n## (\"euclidean\" is actually the default option)\ncr_pwdist = pdist(cr_votes_t, metric='euclidean')\n\n## Create a square dataframe with the pairwise distances:\n## the distance matrix\ncr_distmat = pd.DataFrame(\n squareform(cr_pwdist), # pass a symmetric distance matrix\n columns = cr_votes_t.index,\n index = cr_votes_t.index\n)\n## Perform hierarchical linkage on the distance matrix using Ward's method.\ncr_distmat_link = hc.linkage(cr_pwdist, method=\"ward\", optimal_ordering=True )\n#plt.figure(figsize=(8,8))\n\nsns.clustermap(\n cr_distmat,\n annot = True,\n cmap=sns.color_palette(\"Reds_r\"),\n linewidth=1,\n #standard_scale=1,\n row_linkage=cr_distmat_link,\n col_linkage=cr_distmat_link,\n figsize=(8,8)\n)\n\nplt.show()" }, { "cell_type": "markdown", "metadata": {}, "source": "#### Spectrum Clustering\n\nAplicando _Spectrum Clustering_ aos dados obtemos a seguinte classifica\u00e7\u00e3o de _clusters_:" }, { "cell_type": "code", "execution_count": 94, "metadata": {}, "outputs": [ { "data": { "text/plain": "{'BE': 4,\n 'PCP': 3,\n 'PEV': 3,\n 'L/JKM': 4,\n 'PS': 1,\n 'PAN': 0,\n 'PAN/CR': 0,\n 'PSD': 1,\n 'IL': 2,\n 'CDS-PP': 2,\n 'CH': 2}" }, "execution_count": 94, "metadata": {}, "output_type": "execute_result" } ], "source": "cr_distmat_mm=((cr_distmat-cr_distmat.min().min())/(cr_distmat.max().max()-cr_distmat.min().min()))*1\n\ncr_affinmat_mm = pd.DataFrame(1-cr_distmat_mm, cr_distmat.index, cr_distmat.columns)\ncr_sc = SpectralClustering(5, affinity=\"precomputed\",random_state=2020).fit_predict(cr_affinmat_mm)\ncr_sc_dict = dict(zip(cr_distmat,cr_sc))\ncr_sc_dict " }, { "cell_type": "markdown", "metadata": {}, "source": "#### _Multi Dimension Scaling_\n\nO gr\u00e1fico de MDS com a inclus\u00e3o da deputada Cristina Rodrigues \u00e9 o seguinte:\n" }, { "cell_type": "code", "execution_count": 95, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": "
" }, "metadata": {}, "output_type": "display_data" } ], "source": "cr_mds = MDS(n_components=2, dissimilarity='precomputed',random_state=2020, n_init=100, max_iter=1000)\ncr_results = mds.fit(cr_distmat_mm.values)\ncr_coords = cr_results.embedding_\n\nsns.set()\nsns.set_style(\"ticks\")\n\n\nfig, ax = plt.subplots(figsize=(6,6))\n\n#fig.suptitle('Portuguese Parliament Voting Records Analysis, 14th Legislature\\nMDS with Spectrum Clustering clusters, inc. Cristina Rodrigues (2D)', fontsize=14)\n#plt.title('MDS with Spectrum Clustering clusters, inc. Cristina Rodrigues (2D)')\n\nfor label, x, y in zip(cr_distmat_mm.columns, cr_coords[:, 0], cr_coords[:, 1]):\n ax.scatter(x, y, c = \"C\"+str(cr_sc_dict[label]), s=100)\n ax.axis('equal')\n if label==\"PAN/CR\":\n ax.annotate(label,xy = (x-0.10, y+0.020))\n else:\n ax.annotate(label,xy = (x-0.02, y+0.020))\n\nplt.show()" }, { "cell_type": "markdown", "metadata": {}, "source": "Como podemos observar as diferen\u00e7as s\u00e3o bastante pequenas, o que tendo em conta o (relativamente) pequeno n\u00famero de vota\u00e7\u00f5es feitas de forma individual n\u00e3o \u00e9 de estranhar, em especial quando existem tamb\u00e9m muitos casos onde s\u00e3o id\u00eanticos, e onde s\u00e3o diferentes normalmente a diferen\u00e7a \u00e9 a m\u00ednima (i.e. s\u00e3o raras situa\u00e7\u00f5es de votos A Favor/Contra, que t\u00eam maior dist\u00e2ncia):" }, { "cell_type": "code", "execution_count": 96, "metadata": { "scrolled": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": "Voted the same: 647\nVoted differently: 108\n" }, { "data": { "image/png": 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\n", 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" }, "metadata": {}, "output_type": "display_data" } ], "source": "cr_pan_comp = votes[[ 'PAN','PAN/CR','Cristina Rodrigues (Ninsc)']]\ncr_pan_comp = cr_pan_comp.dropna().replace([\"A Favor\", \"Contra\", \"Absten\u00e7\u00e3o\", \"Aus\u00eancia\"], [1,-1,0,0])\nvoting_palette = [\"#FB6962\",\"#FCFC99\",\"#79DE79\", \"black\"]\ncr_pan_diff = cr_pan_comp[[\"PAN\",\"Cristina Rodrigues (Ninsc)\"]].dropna()[cr_pan_comp[\"PAN\"] != cr_pan_comp[\"Cristina Rodrigues (Ninsc)\"]]\ncr_pan_same= cr_pan_comp[[\"PAN\",\"Cristina Rodrigues (Ninsc)\"]].dropna()[cr_pan_comp[\"PAN\"] == cr_pan_comp[\"Cristina Rodrigues (Ninsc)\"]]\n\nprint(\"Voted the same:\", cr_pan_same.shape[0])\nprint(\"Voted differently:\",cr_pan_diff.shape[0])\n\nfig, ax = plt.subplots(figsize=(6,6))\nsns.set(color_codes=True)\n\n## Build a heatmap of the vote when they diverged\n#fig.suptitle('Portuguese Parliament Voting Records Analysis, 14th Legislature', fontsize=14)\n#ax.set_title('PAN and Cristina Rodrigues voting record (only where they diverge)')\nsns.heatmap(cr_pan_diff.astype(float) , cbar=False,yticklabels = True, cmap=sns.color_palette(palette=[\"#FB6962\",\"#FCFC99\",\"#79DE79\"]), linewidth=1)\nplt.show()" }, { "cell_type": "markdown", "metadata": {}, "source": "### Diferen\u00e7as entre Actividades e Iniciativas\n\nA combina\u00e7\u00e3o de votos em Actividades e Iniciativas resulta na matriz de dist\u00e2ncia que ser\u00e1 usada para as restantes an\u00e1lises; recuperando o *clustermap* para refer\u00eancia:" }, { "cell_type": "code", "execution_count": 97, "metadata": {}, "outputs": [ { "data": { "text/plain": "
" }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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\n", 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" }, "metadata": {}, "output_type": "display_data" } ], "source": "## Display the heatmap of the distance matrix\n\nfig = plt.figure(figsize=(8,8))\nax = fig.add_subplot()\n\n## Perform hierarchical linkage on the distance matrix using Ward's method.\ndistmat_link = hc.linkage(pwdist, method=\"ward\", optimal_ordering=True )\n\nsns.clustermap(\n distmat,\n annot = True,\n cmap=sns.color_palette(\"Reds_r\"),\n linewidth=1,\n #standard_scale=1,\n row_linkage=distmat_link,\n col_linkage=distmat_link,\n figsize=(8,8)).fig.suptitle('Portuguese Parliament 14th Legislature, Clustermap')\n\nplt.show()\n\n" }, { "cell_type": "markdown", "metadata": {}, "source": "e tamb\u00e9m o MDS correspondente:" }, { "cell_type": "code", "execution_count": 98, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" }, "metadata": {}, "output_type": "display_data" } ], "source": "from sklearn.manifold import MDS\n\nmds = MDS(n_components=2, dissimilarity='precomputed',random_state=2020, n_init=100, max_iter=1000)\n\n## We use the normalised distance matrix but results would\n## be similar with the original one, just with a different scale/axis\nresults = mds.fit(distmat_mm.values)\ncoords = results.embedding_\ncoords\n\n## Graphic options\nsns.set()\nsns.set_style(\"ticks\")\n\nfig, ax = plt.subplots(figsize=(8,8))\n\nplt.title('Portuguese Parliament Voting Records Analysis, 14th Legislature', fontsize=14)\n\nfor label, x, y in zip(distmat_mm.columns, coords[:, 0], coords[:, 1]):\n ax.scatter(x, y, s=250)\n ax.axis('equal')\n ax.annotate(label,xy = (x-0.02, y+0.025))\nplt.show()" }, { "cell_type": "markdown", "metadata": {}, "source": "Uma quest\u00e3o que pode ser colocada \u00e9 se existem diferen\u00e7as entre as vota\u00e7\u00f5es em Iniciativas e Actividades: as Actividades s\u00e3o em menor n\u00famero (pelo que o seu peso ser\u00e1 sempre menor quando somado \u00e0s iniciativas) mas inclui votos sobre tem\u00e1ticas que podem ter uma dimens\u00e3o diferente: votos de pesar, votos de condena\u00e7\u00e3o e outro tipo de actividades que t\u00eam desde logo uma poss\u00edvel dimens\u00e3o internacional mais vincada e s\u00e3o formas de demonstra\u00e7\u00e3o de posi\u00e7\u00f5es ideol\u00f3gicas sobre acontecimentos nacionais e internacionais.\n\nRefira-se que todas as vota\u00e7\u00f5es s\u00e3o vota\u00e7\u00f5es pol\u00edticas: o votar contra ou a favor de um voto de pesar ou condena\u00e7\u00e3o demonstra uma avalia\u00e7\u00e3o pol\u00edtica sobre a pessoa, o acontecimento e/ou o pr\u00f3prio texto em vota\u00e7\u00e3o, texto esse que inclui ele pr\u00f3prio considera\u00e7\u00f5es pol\u00edticas e ideol\u00f3gicas. Existem muitas vota\u00e7\u00f5es por unanimidade nos casos de votos de pesar e congratula\u00e7\u00e3o, mas existem tamb\u00e9m muitos outros com vota\u00e7\u00f5es divididas, n\u00e3o sendo incomum vota\u00e7\u00f5es sobre o mesmo tema com vota\u00e7\u00f5es opostas, dada a forma como um mesmo acontecimento \u00e9 descrito e apresentado.\n\nO seguinte bloco apresentea o _clustermap_ para cada uma das fontes de vota\u00e7\u00e3o:" }, { "cell_type": "code", "execution_count": 99, "metadata": {}, "outputs": [ { "data": { "text/plain": "
" }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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KVl6rVq3nngV85swZTp48ycqVK3M8d/36dZydnenTpw/jx48nKCiIunXr4u7uTvXq1bWvT0tLo2nTptlem5aWhr29/VPb1mg0uLm5AZlnpJUrV8bf3x8rKysALly4QGBgIBcuXMg2PHT79m1q166tfezq6vpc7xkyuzIXL17MlStXiI+P154R3bp1CxsbG+1yjw9dlSlTJkeZtbU1AHFxcZiZmXHmzBlu3LihfV9ZUlJSsp0ZlS1bNts2Y2Njg6IoxMbGYmdn99zv52mOHTvGb7/9RlBQEAYGL3ZBmLOzs/b/ZcqUQa1WExsb+0J1xcXFcevWLaZPn87MmTO15VmfwY0bNzA2Nn6hbbx3795MnDiR/fv3U7duXZo3b857772X5/IRERH4+/tz8uRJYmNjURSFpKQkbt++/ULvLTdPbp/53UaeRVEUVCpVQYSYQ5s2bfjll19o0aIFjRs3pn79+rRq1YoSJUrk+ZqzZ8+iKApdunTJVp6eno5arc5Wltc+W7VqVe3/n7a/Pb7trV27lnXr1nHr1i2SkpJIT0/P0cNhaWmZ7XhUqVIlSpcuzZUrV2jYsGGusSQnJ+d7HtnjcRsaGmJlZVUgEy937NjB8uXLuXHjBomJiWRkZJCWlsbdu3ezHaeepVOnTvz444+cPn0aV1dXNm/eTKlSpWjcuDGQuU3GxMTk2FdSU1O1PdSdO3fms88+w8PDg4YNG9KoUSNatGiBsbFxrm0++Rnkx+PHGcg8Lh48eDDP5d3d3SlRooS2F3zjxo2YmprSsmXLbMtlfY7JycnPnJtT2PKVhLi6ujJjxgzUajVly5bNsdJzOxA8eYBQq9X53qBVKlWODzBriOJZ7T5vPRkZGfTr1w9PT88cr8/a4QcPHkzHjh3Zv38/R44cYdGiRfTt2xdfX18yMjIwNzdn/fr1OV7/rAlWarWa4OBgVCoVlpaW2Q5wSUlJ9OnTh9q1a/Ptt99qD0jt2rXLMam3ePHiT23nSbdv36Z///54enoyaNAgSpcuTVRUFJ9++mmOunN7D4aG/202WZ9B1szrjIwMPD096d+/f47XlSpV6qn1Pl5PQQoNDSUuLo4WLVpoyzQaDceOHSMoKIg///zzmQe03OJ90VizXjdu3Djq1auX4/ly5cpp5/4875ds586dadKkCX/99RdHjhyhX79+tGrVitmzZ+e6/MCBAyldujQTJkzA1tYWIyMjunfv/syJ47klc3m95smDXn63kWepVKlSjvlI+ZEV++PHBo1Gk+3ztLGx4Y8//iA0NJTQ0FB++OEH7bBKXkMHWfWtWrUqxz755OeY1z6b276VW1lWW9u2bWPy5MmMGDGC9957jxIlSvDHH3/kOTcst3jzYmlpmW2o4Gme3D9yO/Y+r1OnTjF06FD69+/PqFGjsLCw4NSpU4wePfq5L2yoUqUKNWrUICQkBFdXV0JCQmjfvr123WZkZFClShUCAwNzvDYrCXF2dmb37t0cOnSII0eO8M033zBv3jzWrl2ba3JauXJlIHNOYW5DwJcvX8bAwCBbcvi869HQ0JAuXbqwbt06unfvzrp16+jUqVOO7+gHDx6gVqufa/8qLPlKQooVK5bnWf3bb7/N6tWriYuL057ZxsTEcP369WfO8TAyMkKj0eQot7KyyjZJEjIvc8pagRUrVsTIyIgTJ07w9ttva5c5depUjnqyJnk+Xs/jatSowZUrV57Za/HWW2/xySef8Mknn7B48WKWLl2Kr6+vdmJTSkoKjo6OT60jN3m1e/XqVeLi4vD19aVKlSoAHD9+/KV3bMjM+pOTkxk7dqx2Bzt37txL1wuZ6/PixYtUrFjxpc5Ss3ZGjUaT4yzyeXXv3p33338/W9mYMWOws7PDx8dH2/OU1/ZY0KytrbG1tSUsLIwPP/ww12Xyu43npmzZsnTu3JnOnTvTrFkz7TyeJw+U9+7d48qVKyxevFg73+HOnTs5enhyWy+WlpZoNBpiYmK0yfqT+1ZeCmob6dixI0OHDmXLli25zgt58OBBrvNCso5T0dHR2oTiwoULOfYtY2NjmjZtStOmTRk2bBgNGzZk165d9OzZM9d1ktU7GhkZmS3h1aW///4bZ2dnPvvsM21ZbhN84+LiCA8Pp2LFigCEhYVx//597bElN9WrV+fSpUsFHzT529f++ecfSpcunW3OzPbt23PUA/k7Tnh5eTF//ny6du3KuXPn+Pbbb7XPZSUoJUqU0B4PcmNmZoaHhwceHh4MGDCAxo0bc/To0Vwv127UqBGWlpYsWrQoRxLy8OFDVq5cSbNmzV76Kp4PP/yQRYsWsWrVKv7991++//77HMtcunQJZ2fnF+4J1qWXjqhDhw5YWlri6+vLuXPnOHv2LL6+vtjY2NC2bdunvrZChQrExMRw4sQJ4uLiSEpKAjInEm3bto0DBw5w7do1vv3222zdw6ampnz00UfMmzePP//8k7CwMObOncvVq1ezHdQaNmzItWvX+PXXXwkPD2ft2rVs27YtWwxDhgxh9+7dfPvtt1y4cIHw8HD279/P2LFjSU5OJjExka+//prDhw8TERHB+fPn+euvv7Q7b/369WnYsCE+Pj7s3LmTiIgIzp49y4oVK7RXArwIOzs7jI2NWbFiBeHh4Rw+fJhvvvmmQLqf7e3tUalU/PTTT0RERLBr1y7mz5//0vVC5pn11atXGTlyJKdPnyYiIoLQ0FCmTp36zNn4j6tQoQIAe/bsIS4ujsTExDyXvX37tvazg8whwgsXLnD//n0gMxl1dHTM9mdqaoqFhQWOjo7as6EKFSpw/Phxbt++TVxcXIH0yly4cCHHX3p6OsOGDWPFihUsWLCAS5cuce3aNXbt2qWdaJffbfxJkydPZt++fYSHh3P58mV27NiBra0tZmZmOZYtWbIklpaWrFu3jrCwME6cOMHw4cO1iWmWChUqcOTIEaKiooiLiwMye0fNzMyYM2cO169fZ//+/fnehgpqG2ndujVeXl6MHj2a77//nhMnTnD79m2OHj3KmDFj8vxxLHt7e8qXL09AQABXr17l77//Ztq0adnW67p161i7di3//vsvt27dYuPGjSQmJmoTwtyOXfb29nTu3JmvvvqK4OBgbty4wb///sv69etZvHhxvt/X86hUqRKXLl1i165dhIeHs3z58lyvzCtevDhjxozh7NmznDlzBj8/PxwdHfMcigFo2rSp9oSloOVnX6tUqRJxcXGsW7eOiIgIgoODc0zMfp7jRLt27Xj48KH2t68eH0Lq2LEjFSpUoH///hw4cICbN29y6tQpFi1axK5duwBYsmQJGzdu5PLly0RERPD777+jVqtxcHDItb3ixYszbdo0Dh8+zPDhwzl9+jSRkZH89ddf9OrVCyMjo2wT0V+UnZ0dTZo04ZtvvqFu3bpUqlQpxzJHjhyhefPmL92WLrx0ElKsWDGWLl2KsbExPXr0oGfPnpiamrJkyZI8x8qytGrVitatWzNgwAAaNGignQXcr18/mjVrhq+vL5988gnm5uY5fmhr5MiRtGjRghEjRtC1a1cePHhAp06dsg35NGzYkGHDhrFo0SI8PT0JDQ1l8ODB2eqpX78+y5cv59KlS3Tv3p2OHTsybdo0zMzMMDQ0xNDQkPj4eMaNG0fbtm3p27evdjY6ZHaX/fDDD3h4eDBt2jTatGnDgAED2Lt3b7bZyc/L0tKSWbNmcejQIdq1a8eMGTMYPXp0gWSyVatW5auvvmLNmjW0a9eOpUuXaq9MeVlVqlRh9erVPHr0iL59+9KuXTu++uorUlJSMDc3z3c9rq6u9OrVi4kTJ9KwYUOmTJmS57L+/v54eXkxfvx4APr27YuXlxd79ux5rth9fHx4+PAhrVu3pkGDBi89L0Kj0eDl5ZXj7969e3h5efH999+zb98+unbtSpcuXQgICKBs2bLa1+dnG3+Soih8++23tG/fnh49epCUlMSPP/6Ya+JiYGDAvHnzCA8Pp2PHjvj5+dG7d2/t0F+W0aNHc+7cOVq2bEmDBg2AzGGT7777jpMnT9KxY0cWLFjAl19+ma/1kp9tJOtyzWf9SNqMGTOYMmUKR44coW/fvrRt25bJkydjZWVF3759c32NoaEhc+fOJS4ujk6dOjF58mR8fX2z7VslS5Zkw4YN9OzZk7Zt2/Lzzz8zefJk7fvP69g1ZcoUevfuzcKFC2nXrh29e/cmODj4pY4FT9OtWzc8PT0ZO3YsXl5enD59Gh8fnxzLlSlThg8//JAhQ4bw8ccfY2Jiwvz585+a0DZu3BgrKyt27txZ4HHnZ19r0aIFAwcOZO7cuXTo0IEtW7ZoL8nN8jzHCUtLS5o1a8aFCxfw8vLK9pyJiQkrVqygRo0ajBkzhtatW+Pt7c3p06e1c9RKlCjBzz//TLdu3ejYsSM7d+7E399fO+ySm+bNm7N69WpSU1Pp168fHh4eTJgwgVq1avH777/nObT3vD788EPS0tJy/U2XiIgIzpw5k2OuUlGhUgqif7+I6NWrFyVLliywX70Uoqh5U7bxw4cPM2DAALZs2aKzL/A3RUBAABs3bnyhZCI4OJiff/6ZoKAgnU0CFi9v5cqV+Pv789dff+U4+Z80aRKKomT7TZKiJF9zQoqiixcvcv78eWrVqkVaWhohISHaKz6EeB28ydv43r176devnyQgeubp6UlMTAzR0dHPdTWKKByJiYmEh4fz008/0aNHjxwJSEZGBuXKlctz7llR8Mr2hFy6dInx48dz9epVMjIyqFy5Ml988QWtWrXSd2hCFAjZxkVBeJmeEFG0+fn5sXnzZho2bIi/v3+O+Vyvglc2CRFCCCHEq63oXa8jhBBCiDeCJCFCCCGE0AtJQoQQQgihF5KECCGEEEIvJAkRQgghhF5IEiKEEEIIvZAkRAghhBB6IUmIEEIIIfRCkhAhhBBC6IUkIUIIIYTQC0lChBBCCKEXkoQIIYQQQi8kCRFCCCGEXkgSIoQQQgi9kCRECCGEEHohSYgQQggh9EKSECGEEELohSQhQgghhNALSUKEEEIIoReShAghhBBCLyQJEUIIIYReSBIihBBCCL2QJEQIIYQQeiFJiBBCCCH0QpIQIYQQQuiFJCFCCCGE0AtJQoQQQgihF5KECCGEEEIvJAkRQgghhF5IEiKEEEIIvZAkRAghhBB6IUmIEEIIIfRCkhAhhBBC6IUkIUIIIYTQC0lChBBCCKEXkoQIIYQQQi8kCRFCCCGEXkgSIoQQQgi9kCRECCGEEHphqO8AirKUlBS+/fZbDh8+jImJCbVq1WLKlCmEhYXh5+fH/fv3KVWqFDNmzMDBwUHf4QohhBCvFJWiKIq+gyiqpk6dioGBAWPGjEGlUhETE4O1tTW9evWic+fOeHp6EhISwu+//84vv/yi73CFEEKIV4okIXlITEykWbNm7Nu3DzMzM215bGws77//PkeOHEGtVqPRaKhXrx47duzA0tJSjxELIYQQr5ZXZjgmNiaxQOoxMtYQHx+fo9zCwgILCwvt44iICEqVKkVgYCBHjhzBzMyMoUOHUqxYMWxsbFCr1QCo1WrKli1LZGSkJCFCCCHEc3hlkpCCsnz5cgIDA3OUe3t74+Pjo32cnp5OREQE1apVY/To0Zw6dYqBAwcyb968wgxXCCGEeG29cUlI79696dSpU47yx3tBAOzs7DA0NKR9+/YA1KxZk9KlS1OsWDGioqLQaDTa4Zjo6GhsbW0LJX4hhBDidfHGJSFPDrvkxdLSknr16nHw4EEaN25MWFgYsbGxODg44OzszObNm/H09GTz5s04OzvLUIwQQgjxnF6ZiakFNSfEytrs2Qv9v4iICMaOHcv9+/cxNDRk2LBhNGvWjKtXr+Ln50d8fDwWFhbMmDGDypUrF0h8QgghxJtCkhAhXnOBgYGkpKToOwzxhjAxMcHb21vfYYhXxBs3HCPEmyYlJYURI0boOwzxhpgzZ46+QxCvEPnZdiGEEELohSQhQgghhNALSUKEEEIIoReShAghhBBCLyQJEUIIIYRevDJXx9yKTCiQeuQSXSGEEKJokJ4QIYQQQuiFJCH5EBgYiJOTE5cuXQLAycmJDh064OnpiaenJxcvXtRzhEIIIcTf9wLfAAAgAElEQVSr55UZjtGXc+fOcfLkSezs7LKVr169GjMzGdoRQgghXpT0hDxFamoqkydPZuLEiahUKn2HI4QQQrxW3riekPj4eOLj43OU53Z33Xnz5tGxY0feeuutHMv37NkTjUZD06ZN8fHxwdjYWGcxCyGEEK+jNy4JWb58OYGBgTnKvb298fHx0T4+ceIEZ86cYeTIkTmW3bt3L7a2tjx8+JAvv/yS+fPn4+vrq9O4hRBCiNfNG5eE9O7dm06dOuUof7IX5NixY1y7do2WLVsCcOfOHfr27cu0adNo3LgxACVKlKBr164sW7ZM94ELIYQQr5k3LgnJbdglN/3796d///7ax+7u7ixcuBAbGxuSk5MpVqwY6enpbN++HWdnZ12GLIQQQryW3rgk5GVdu3aNCRMmoFKpSE9Px83NjaFDh+o7LCGEEOKVI0lIPu3Zs0f7/02bNukxEiGEEOL1IJfoCiGEEEIvXpmekGtXYgukHleXcgVSjxBCCCFejvSECCGEEEIvJAkRQgghhF5IEiKEEEIIvZAkRAghhBB6IUmIEEIIIfRCkhAhhBBC6IUkIUIIIYTQi1fmd0L0YdCgQdy8eRMDAwNMTU356quvcHZ2JiwsDD8/P+7fv0+pUqWYMWMGDg4O+g5XCCGEeKVIEvIUM2bMwNzcHIBdu3YxduxYgoKCmDhxIt27d8fT05OQkBAmTJjAL7/8oudohRBCiFfLGzccEx8fz82bN3P8xcfH51g2KwEBePjwISqVitjYWM6fP0/79u0BaN++PefPnycuLq7Q3oMQQgjxOnhlekKuXY4pkHoibu4hMDAwR7m3tzc+Pj45yseNG8fBgwdRFIUlS5YQGRmJjY0NarUaALVaTdmyZYmMjMTS0rJAYhRCCCHeBK9MElJQevfuTadOnXKUW1hY5Lr8N998A0BwcDAzZ85k6NChOo1PCCGEeFO8cUmIhYVFngnH03h5eTFhwgTKlStHVFQUGo0GtVqNRqMhOjoaW1tbHUQrhBBCvL7euCQkvxITE4mPj9cmF3v27KFkyZJYWVnh7OzM5s2b8fT0ZPPmzTg7O8tQjBDipQUGBpKSkqLvMF5KREQEc+bM0XcYL8zExARvb299h/HGkCQkD0lJSQwdOpSkpCQMDAwoWbIkCxcuRKVSMWnSJPz8/FiwYAEWFhbMmDFD3+EKIV4DKSkpjBgxQt9hvNFe5QTqVSRJSB6sra1Zu3Ztrs9VqVKFdevWFXJEQgghxOvljbtEVwghhBBFgyQhQgghhNALSUKEEEIIoReShAghhBBCLyQJEUIIIYReSBIihBBCCL14ZS7RjTgXre8QhBBCCFGApCdECCGEEHrxyvSE6MOMGTPYvn07t27dYtOmTTg6OgLg7u6OsbExJiYmAIwcOZImTZroM1QhhBDilSNJyFO0bNmSXr168cknn+R4zt/fX5uUCCGEEOL5vXFJSHx8PPHx8TnKc7u7bp06dQorLPEKedVuMvYq3lBMbiImxJvhjUtCli9fTmBgYI5yb29vfHx88l3PyJEjURSF2rVrM3z48BwJjHh9yU3GdO9VS5pE0VAQJwgFlbRLIp0/b1wS0rt3bzp16pSj/HmSiJUrV2Jra0tqairffPMNkydPZvbs2QUZphBCiOdUlE4QJJHOnzcuCclt2OV52draAmBsbEz37t354osvCiI0IYQQ4o3yxiUhL+vRo0doNBrMzc1RFIWtW7fi7Oys77CEEDpSmHOACmv+jgwViKJCkpCnmDp1Kjt27CAmJobPPvuMUqVKsXDhQnx8fNBoNGRkZFClShUmTpyo71CFEDpSlLr4C4oMFYiiQpKQpxg/fjzjx4/PUR4cHKyHaIQQQojXiyQhQgjxCpErQMTr5JVJQiKP39F3CEKPitJvcxSl392QL4E3T1EaHioq+4F4db0ySYh4sxWlA29RIl8CQohXmdzATgghhBB6IUmIEEIIIfRCkhAhhBBC6IUkIUIIIYTQC0lChBBCCKEXkoQ8RVhYGN26deP999+nW7duXL9+Xd8hCSGEEK8NSUKeYuLEiXTv3p3t27fTvXt3JkyYoO+QhBBCiNeGJCF5iI2N5fz587Rv3x6A9u3bc/78eeLi4vQcmRBCCPF6eON+rCw+Pp74+Pgc5RYWFlhYWGgfR0ZGYmNjg1qtBkCtVlO2bFkiIyOxtLQstHjF60t+flsI8aZ7ZZKQ1Wd8CqSegIAAAgMDc5R7e3vj41MwbQiRH0XpV2Dll1eFEPrwyiQhBaV379506tQpR/njvSAAtra2REVFodFoUKvVaDQaoqOjsbW1LaxQhRBCiNfaG5eEPDnskhcrKyucnZ3ZvHkznp6ebN68GWdnZxmKEUIIIQrIG5eEPI9Jkybh5+fHggULsLCwYMaMGfoOSQghhHhtSBLyFFWqVGHdunX6DkMIIYR4LcklukIIIYTQC+kJETpVEJehQsFciiqXoQohRNEiSYjQKbkMVQghRF5kOEYIIYQQeiFJiBBCCCH0QpIQIYQQQuiFJCFCCCGE0AtJQoQQQgihF5KECCGEEEIvJAkRQgghhF5IEiKEEEIIvZAkRAghhBB6IUmIEEIIIfRCpSiKou8ghBBCCPHmkZ4QIYQQQuiFJCFCCCGE0Au5i67I00cuAfoOAYDVZ3wA8O29Ts+RwNzlXQH4buY+PUcCw0c1A4pGLPBfPMFB5/QcCXh1qg7A6TN39BxJJleXckDRiKcoxQL/xRMbk6jnSMDK2gwoGrHAf/G8zqQnRAghhBB6IUmIEEIIIfRCkhAhhBBC6IUkIUIIIYTQC0lChBBCCKEXkoQIIYQQQi8kCRFCCCGEXkgSIoQQQgi9kCRECCGEEHohSYgQQggh9EJ+tl3ohJmFCQMmt8S1QUUS7iexet5hDm69VChtN25VhbqNHbCtUJLjoRGsWnIMABs7cz7pXxersiUAuHn9Hht+PUHU7QSdxaJWq2jp8Q4V7UtTrLgh9+8lcWD/da6HxQFgaGhA0xaVcXIqi4Faxd3oh6xddUovsTg6laFBY3vMzU1IiE/hwP4wrl6J1UksWVav/p4rV0+TmpqCuXkpmjX1om5dDwCOHt3J3n1BJCTcx8GhKl27eGNhYanTeAAiI28yYvhn1K/fjCFDx6MoChs2/MrOnRt5lPgQN7f6DBg4ElNT3f6k9sQJQ7l8+TwGajUAlpbW+Pv/CsBff+3kt5U/kpDwAFfXOnwxaDTm5hY6jQdyrpvHzZ8/jb1//oF/wEpsbSvoNI7B3v04d+4M6v9fN2Wsy7J6dRDHj/+Nz5ABFCtWTLvsiOF+tG3bodBjWb58Kb+s+Em7nEaTQVpaKls276JUqdI6i+dVI0mI0Ik+45qjSctgQPOlOFS1ZvT8Dty4GMPNq3E6b/vBvWR2bLxAVZdyGBmp/yu/n8yywMPci3mESgWNW71Nr0H1mTV+p85iURmoSEhIYe2qk8THp1CpiiXtPZ355ae/iY9PweN9R1QGKn5eeozk5DTK/H+CVNixZGQotGlflZAN57geFkelypa096zGkkVHSHqUprOYmrf4gC5dBmNoaER09E0WLZ6AnV1lUlOT+WP7Svr3n4y1lS2bNv3Eb6u+Y+CAqTqLJcuSH+dSpYqT9vG+fdvZv28HU6fOx8ysBP7zpvLT0nl4+4zVeSx9+w6lZav22coiIsJYvGgOY8bOoFKld1i0aDZLfpyL7/CJOo/nyXWT5cKF00Tdua3z9h833Hc0HTt2ylFubV2GkOA/9B5L79596d27r/bxkqULOXnyuM4SEHd3d4yNjTE2NiYjI4MvvviCdu3aERYWxuzZs/n3338pXrw4pqam9O/fn1atWuHn58ehQ4coXbo0ycnJeHh4MHLkSJ3ElxcZjhEFzqS4IfU8qrA2MJSUpDQunojkn71hNOlQtVDaP/PPLc4ev03iw5Rs5cmP0rgX8wgAlUpFRoaCtQ6/9AHS0zI4fPAG8fGZsYRdjePB/WRsyplT2rI4ld+2Ytf2SyQlpaEoEB31UC+xlDA3ISU5XdsrEnYtjrQ0DaVKFddZPADlbCpiaGgEZH4mKhXExt3h/IVjuLo01D7fsmVXwsLOExur25uuHTywGzOzEri41NaW/f33IdxbtsXauizFi5vi5dWdQ4f+JCUlWaex5OWv/TupXach1arVpHhxUz76qC9Hju4nKemRTtvNbd0AaDTp/LR0Hn37DtNp+68yRVH444+ttG2jux4ZAH9/fzZu3MjMmTMZM2YMkZGR9OjRAw8PD3bv3s3mzZsJDAzk4cP/jjP9+/cnJCSE9evXs3XrVnbv3q3TGJ8kSYgocLb2pcjQKETeuK8tu3ExhgpVdN+Vnh/fLvBk5pIP+KCHG7s2/1uobZuaGlHa0pSYmETK2VqQEJ9Mg8YOfOHdkF6f1eYdR2u9xBJ1J4G4uEdUftsKlQqqvG2FRqNw967ukqIsQcGLGP/VR8ye44O5eWmqOr0LioKCol1GUTL/f+dOuM7iePQokTVrfqJX78HZn1CUzL+shyikpaUSGXlTZ7FkWfnbYvp81pHx4wZz7uwJACIiruNg/7Z2mXLlymNoaMTt2xE6iyPPdQNs3rwO52o1sXeoorP2c7NwUQBt2rozYOBnHD/+t7b83r042rVvRecu7Zk3bzZJSUl6iyXLyVPHuXcvlubNW+o8FoBq1aphZmbGxIkTqVevHl5eXtrnypYtm+1xFnNzc1xcXAgLCyuUGLPIcIwocMVMjXn0RC/Eo4epFDcz0lNE2Y0dFIKxsZr3GjtwL7bwbtltYKCiTXtnzp+9w724JN5xLIN1mRJcvhTDogWHsStvgVdnF2JjjhMXp9uz2idjATh/Noq27Z0xNDRAo8lgc8h50tMydBoHQCevAXh2/Jwb4Ze4dvUshoZGVK1am5W/zaF+vfextrZl1+61qFQq0tJSnl3hC1q9einu7u2wti6brdzNrR4hIato0LAFZmbmBAf/BqDznpAePQZQ4S0HDA0NOXhwD9Onj2HW7KUkJyflmI9iampGsg57QvJaNzEx0ezcuYkZMxbrrO3cDPpiCA4OlTEyMmLXru2MGjWMn39ehb29A8t/Xo29vQN37kQyZeoE/APmMHrU+GdXWsCxVKjwlnaZbds206J5K0xNTZ+7/vj4eOLj43OUW1hYYGGR+zyg0NBQUlJSUBQFV1fXfLUTFRXF8ePH6dat23PH+DIkCXnNBQYGkpLyfAfuESNGvFSbyY9SKW5mnK2suJkxSYm6m1vwvFJTNRz68ypTAjsy3W87DxN09+WWpXW7qmRoMtiz6woA6ekaNJoMQg/dQFHgZsQDIsLvY1+ptM6TkCdjqWhfiibNK7Nu9Umi7jzEppw5nh9UJ2j9Ge5G6z5RMzBQU8nBmRMn9hEaup1Gjdrh4fERK36dRXJyIk0ad8DYuDglS1rppP2wsMucOf0PM2ctyfFcC/e2xMRGM2niMDQaDR06fMg/fx/CyqpsLjUVnHccq2n/37x5aw4c2M2J46EUK1acpKTsn0nSo0SKFX/+L7j8eNq6+XlZAF279MLMTLfDmk+qXt1F+/+2bTuwc9cfHD58kK5dP8LKKrM30c6uPIMHDWXkl0N1moQ8LRbITFb37NnFjOnfvVD9y5cvJzAwMEe5t7c3Pj4+2cqGDBmCiYkJJUqUICAggGXLlj2z/sWLF7Nu3TrUajWff/45DRs2fKE4X5QkIa+5lJSUl04qnlfkjfuoDQ0oV7Ekd8IfAGDvZF0ok1Kfh0qlwsjYkJKli+s8CflfGyfMzIwJWn+GjIzMrv3C+HLPbyxlypbgVsQDou5kDr9E3UngTmQCFe1LF2qcGRqNdt5HwwZtaNigDQB3795m95712NhU1Em758+d5O7dO3zxxYcAJCcnkZGh4eaX15k5awnduvWhW7c+AJw6eQxLyzJYWhbe0BmAisxhqbfecuD69ava8qio26Slp2Fn91beL34JT1s3UVGR/PvvGVb8uki7/Lhxg/jsMx+aNPHQSTy5UalU2YbvspUrOcsLM5a9e/dgYWHBu+/WeaH6evfuTadOOSfg5tYL4u/vj6Ojo/bx0aNHOXPmzFPr79+/Pz169Hih2AqCJCGiwKUkpXN011W6Dq7P4km7sXcqQ50WlZjQc32htG9goMJArcr810CFoZEBGRqFt53LkJiQyu2I+xibGNK2cw2SElOJiszZ1VmQWv7vHaysTFm/5hTp6f8Nb9y6+YCE+BTq1q/I0dBwbO0seKtiSfbvvfqU2nQTS9SdBOrWq0iZsmbcjU6kTNkSlK9QklMndHfFw8OH97ly9SzOVWtjZGTM5SunOXnqAB9/5EtaWiqxsZHY2FTk/oMYNmz4gcaN2mFqqpsz7lYeHWjYyF37eNPGNUTfvUO/fsNJSIgnMTEBGxs7bt68wfLl8+nStRcGBrqbUpeYmMDlyxeoVq0marWaQwf/5MKF03z6mQ8ZGRrGjR3EhfOnqFTZkTWrf6Je3aYU11FPyNPWDShkZPy3HfXv9wF+ftOwf2zOSkFLSEjg3PkzuNWqjVqtZvfuHZw8eZyhQ0Zy/Pjf2NmVx8amHNHRUfzwQwBNmjTTSyxZtm7bTJvW7VGpVC/UxtOGXZ6le/fudOrUiU2bNtGhQ+ak2KioKPbt28eHH374QnUWNElChE4snbqXgVNasWjv5zx8kMzSqXsLrSfEo6MzrTtV1z6u08ieP4LOcedWPB/0cKOUpSlpqRrCw+JYNOcvnc57MLcwoWYtO9LTMxgw+L9uzl07LvHv+WhCNpzFo7UTdetVJD4+mT+2/Kudo1HYsRw+eJ0OntUxNTPi0aM0joaGc+P6PZ3EkklFaOgfBAUtRFEUSpcqQ4cOfahevS5JSYmsWv09sbF3MDEpTp067vzvfx/rLBITk2KYmPz32xLFihXH2MiYkiVLcft2BNOnjyE2JhoLi1K0bdcZD4+OOosFMofqVq9awq1b4RgYqClfviJfjppK+fKZPUH9+g9nnv9UHibE4+JSm0GD/XQWy9PWTW7MzUtiYmKis3jS09NZvHgB4TeuY6A2wL6iA9OnfYe9vQOHDh9g0tfjSEhIoGTJkjRt0pwBA7z1EgvA3bvRHD9+jC9H6u7zeRobGxtWrFjB7Nmz+f777zE1NcXU1JR+/frpJZ7cqJTC7qsShWrOnDkvPBzzkUtAAUfzYlafyRz39O29Ts+RwNzlXQH4buY+PUcCw0dlnuEVhVjgv3iCg87pORLw+v8k9PQZ3V7Sm1+uLuWAohFPUYoF/osnNkY/w5OPs7LOnPBbFGKB/+J5ncklukIIIYTQC0lChBBCCKEXkoQIIYQQQi8kCRFCCCGEXkgSIoQQQgi9kCRECCGEEHohSYgQQggh9EKSECGEEELohSQhQgghhNALSUKEEEIIoReShAghhBBCL+TeMa+5l7l3jBBCCKFLchfdIiowMJCUlJSXriciIqIAohFCCCEKniQhRVRKSkqB9GDMmTPnhV9bFO5aC//dubYo3NU3646+ReHOtXIX3bwV1bvoFoW7s2bdmVXWTU5yF93CJ3NChBBCCKEXkoQIIYQQQi8kCRFCCCGEXkgSIoQQQgi9kCRECCGEEHohSYgQQggh9EKSECGEEELohSQhQgghhNALSUKEEEIIoReShAghhBBCL+Rn28VLa9yqCnUbO2BboSTHQyNYteQYADZ25nzSvy5WZUsAcPP6PTb8eoKo2wmFGp+ZhQkDJrfEtUFFEu4nsXreYQ5uvVQobavVKlp6vENF+9IUK27I/XtJHNh/nethcVhamdK6XVVKlSoGQNSdh/y5+wpxsY8KPRYAQ0MDmraojJNTWQzUKu5GP2TtqlM6iSXL6tXfc+XqaVJTUzA3L0Wzpl7UrevBiRP72BC0SLucomSQlpaKj/csKlSootOYIiNvMmL4Z9Sv34whQ8ejKAobNvzKzp0beZT4EDe3+gwYOBJTU93+pPZg736cO3cGtVoNQBnrsqxeHcTBQ3+xYsUyrl27grGxCY0aNWWIz3DMzHT/E99PrptzZ0/w9de+GJsU0y7z+efDaN68tU7jyGvdANy7d4/v583i8OEDqFQqGtRvzKRJ3+gllnXrVrN6za88ePCAim9VZOjQkdSs6aazWF5FkoSIl/bgXjI7Nl6gqks5jIzU/5XfT2ZZ4GHuxTxCpYLGrd6m16D6zBq/s1Dj6zOuOZq0DAY0X4pDVWtGz+/AjYsx3Lwap/O2VQYqEhJSWLvqJPHxKVSqYkl7T2d++elvEh+msDn4HPHxKahUUMutPO06OLPi538KPZb4+BQ83ndEZaDi56XHSE5Oo8z/J4+61LzFB3TpMhhDQyOio2+yaPEE7Owq4+bWDDe3Ztrl/v57D7v3rKN8+co6j2nJj3OpUsVJ+3jfvu3s37eDqVPnY2ZWAv95U/lp6Ty8fcbqPJbhvqPp2LFTtrLEhw/5tHdfatV6l9TUNCZ9PZb5879n1KhxOo/nyXUDULq0NYsWr9d520/Kbd0AjB07gqrO1dnw+xaKFSvG1WtX9RLLuXNn+GGhPwvmL8HJyZmg4PWMGTuCTRt3ahMWIcMxogCc+ecWZ4/fJvFh9rv+Jj9K415M5lm9SqUiI0PBuhC+2B5nUtyQeh5VWBsYSkpSGhdPRPLP3jCadKhaKO2np2Vw+OAN4uMz103Y1Tge3E/Gppw5KSkabTlAhqJQqnRxvcRS2rI4ld+2Ytf2SyQlpaEoEB31UGexZClnUxFDQyMgcxtRqSA2LueN1f45vpd3322OSqXSaTwHD+zGzKwELi61tWV//30I95ZtsbYuS/Hipnh5defQoT9JSUnWaSx5+d//2lC/fiOKFSuOhYUFHTt04vQZ3fZYQe7rpqg5cuQwUdFReA8eRokS5hgaGuHkWDj7+pMiI29TqVIVqlathkqlok3r9ty/f59793Rz8uPu7k7r1q3p2LEj7du3Z8uWLRw5coSaNWvi6emp/Rs1ahRRUVG4ubkRHx+frY7Q0FBatWqFoig6iTE30hMidO7bBZ4YFzNEpVLxRyHfYdXWvhQZGoXIG/e1ZTcuxuBcp3yhxpHF1NSI0pamxDx2l85BQxphbKxGpYJDB67rJZZythYkxCfToLED1arZkJiYwuGDN7h8KUbncQQFL+Kff/4kLS0VO7tKVHV6N9vz9+5FExZ2nq5dBus0jkePElmz5icmTJzLnt1b/ntCUTL/sh6ikJaWSmTkTRwc3tZpTAsXBfDDwgAqVrRnQP/BvPtunRzLnDx5nEqVdNtDlOe6AR7E3+Pzvl4Ym5hQ970mfPRxX4oV010ynSW3dXPu3BkqVrRnytQJhIYews6uPD7evri56TZxyi2WBg0asfK35Zw7d4aqVauxeXMI77zjhJWVtc7i8Pf3x9HRkfPnz/PRRx8xc+ZMqlSpwoYNG3IsW6dOHbZs2cLHH3+sLQsKCuKDDz7QebL/OElChM6NHRSCsbGa9xo7cC+2cG+RXczUmEdP9NA8ephKcTOjQo0DwMBARZv2zpw/e4d7cUna8gX+BzE0MqB69XLExxfO2fWTsbzjWAbrMiW4fCmGRQsOY1feAq/OLsTGHCcuTjdzVLJ08hqAZ8fPuRF+iWtXz2p7RrL8c3wvlRycsbS00Wkcq1cvxd29HdbWZbOVu7nVIyRkFQ0atsDMzJzg4N8AdN4TMuiLITg4VMbIyIhdu7YzatQwfv55FRUqvKVd5ujRULb9sZkfF/+i01jyWjd25Ssya9ZSypevyN27UcwP/Jbly+czYMBIncaT17qJvhvF0aOhjPGbwPhxk/hz7x5G+/mydk0IpUqVLtRYypevQPNmLRn4RV9AoUQJc+bMCSiUL/hq1aphZmbGzZs381ymc+fOLF26VJuEPHz4kJ07d7Jly5Y8X6MLMhwjCkVqqoZDf16le/+6lDA3KbR2kx+lUtzMOFtZcTNjkhLTCi2GLK3bVSVDk8GeXVdyPJeelsGpk7dp3a4qxU11nyA9GUt6ugaNJoPQQzfIyFC4GfGAiPD72FfSzYH7SQYGaio5OPMgPpbQ0O3Znjt+fB/v1m6u0/bDwi5z5vQ/tGvfNcdzLdzb0qhxSyZNHMZw30+pUT1zYqGVVdkcyxak6tVdMDMzw9jYmLZtO+DiWpPDhw9qnz979jSTvh7LN1NnUrGivc7ieNq6KV3airfecsDAwAAbG1t69BxI6OF9OoslS17rxsSkGLa2dnTo4IWhoREerd6nbNlyOh2uyiuWjZuC2LwlhJW/rmPf3iNMnDCFL78cyt27d5+r/vj4eG7evJnj78mhlMeFhoaSkpKCg4MDV69ezTYcExgYCGQO30RERHDlSuYxYNu2bbi5uWFra/viK+MFSE/Ia87ExIQ5c+Y812tGjBihk1hUKhVGxoaULF2chwkpz35BAYi8cR+1oQHlKpbkTvgDAOydrAtlUurj/tfGCTMzY4LWnyEjI/fxVpUKjAwNKFHChKRHukuScovlbnTh9lDlJUOjITb2vzkh169fID4+DleXhjpt9/y5k9y9e4cvvvgQgOTkJDIyNNz88jozZy2hW7c+dOvWB4BTJ49haVkGS0vddavnRqVSoZD5eV289C+jRvsydsxE6tSpp9N2n7VussXIfzEWpqx183aVdzh4cH+ht59bLFcuX6Jxo6baBLF+/UZYW1lz5uwp3Fu0ynd9y5cv1yYOj/P29sbHxydb2ZAhQzAxMaFEiRIEBARgaGiY53CMsbExHTp04Pfff2f06NFs2LCBnj17Pue7fXmShLzmvL29dd6GgYEKA7Uq818DFYZGBmRoFN52LkNiQiq3I+5jbGJI2841SEpMJSoy7wy+oKUkpXN011W6Dq7P4km7sXcqQ50WlZjQs/Bm87f83ztYWZmyfs0p0tMztOUV7UuTlJRGzN2HGBmpadTEgeSUdOJ0OGSVVyy3bj4gIT6FutfGJW0AACAASURBVPUrcjQ0HFs7C96qWJL9e3V3ZcHDh/e5cvUszlVrY2RkzOUrpzl56gAff+SrXeaf43txqVEfExPdzjFo5dGBho3ctY83bVxD9N079Os3nISEeBITE7CxsePmzRssXz6fLl17YWCgu47khIQEzp0/g1ut2qjVanbv3sHJk8cZOmQkV69dYfhwb4b7jqJx42bPruwlPW3dnDt7grI2dlhblyU29i4rVy7ivfca6TSep62b0qVLEzh/Llu3buL999uyb/+f3L0bjatLzUKPpYRZCZb/spQuXT7Czq48x44dITwinMqVn+8S8969e9OpU86rgCwsLHKUZc0JyXLkyJGn1t2lSxf69OlDly5duHbtGq1a5T85KiiShIiX5tHRmdadqmsf12lkzx9B57hzK54PerhRytKUtFQN4WFxLJrzF+lpGU+preAtnbqXgVNasWjv5zx8kMzSqXsLrSfE3MKEmrXsSE/PYMDg/87md+24hEaTgXurtylhbkJ6uoaoyAQ2rDuDRqObM8mnxfLv+WhCNpzFo7UTdetVJD4+mT+2/Jtt7krBUxEa+gdBQQtRFIXSpcrQoUMfqlevC0BaWiqnTx+kZ49ROowhk4lJMUwe+62LYsWKY2xkTMmSpbh9O4Lp08cQGxONhUUp2rbrjIdHR53Gk56ezuLFCwi/cR0DtQH2FR2YPu077O0dmPrNRO7fv8e06ZOZNn0yAOVsbFm5UjeJ9dPWzf79l5jnP5XEhwmYm1vwXt3GdO/eXydxZHnaugGYMX0us+dMZ85307Gv6MCM6d/pbD7I02KpWNGeW7du4u3Tn4T4eMqULcuoUWNxsK/0XG1YWFjkmnAUBCcnJ2xsbBg1ahQdOnTA2Nj42S8qYCqlMK/FEfk2Z84cnQ2L5Jdv73V6bT/L3OWZY9EfuQToORJYfSaz+/O7mbof936W4aMyz4KLQizwXzzBhXwFVG68/j8pPn0m5+W++uDqUg6A2Bj9D3tZWWf+qJmsm5yy1k1RiAX+iyc/3N3dWbhwYY6ekP79++Pg4KAtK1u2LD/++KP28W+//cbXX39NcPD/sXffcVXW///HH+cwDvOICG5ZDlTU1Py4B2JaajhSy/pl5igt0VJTG37UzMo0yoHmwJWZaCba+jgg0VLJ3KuciGIgsvdhnd8ffDmKDLW4uE71ut9u3m5c43A9e3MFr/N+v6/z3kGzZs0qJffDkJ4QIYQQ4m/uxx9/LLWvQ4cOnDpV8aTc5557jueee06pWPclT8cIIYQQQhVShAghhBBCFVKECCGEEEIVUoQIIYQQQhVShAghhBBCFVKECCGEEEIVUoQIIYQQQhVShAghhBBCFVKECCGEEEIVUoQIIYQQQhVShAghhBBCFbKAnZkyhwXshBBCCCXJAnYqCgoKwmAwlHnsxo0bVZxGCCGEqFpShKjIYDCU29sRGBhYxWlKM7cl4s0hT3GW4S2XqpwEQs5MBMyjXeBO2+wIPadyEhg02AeQ5erLUrw8vLRNacVtYw5Z4E6efzKZEyKEEEIIVUgRIoQQQghVSBEihBBCCFVIESKEEEIIVUgRIoQQQghVSBEihBBCCFVIESKEEEIIVUgRIoQQQghVSBEihBBCCFVIESKEEEIIVcjHtou/zMJCQ6/ejXFzr46NrSUpydn8fOAa16KSALC01NK9pxfe3jXRWmi4HZ/B1s2nqjyLcw07nujfFCcnGwBuxWWwL/wySYlZimQpj71ex7i5vWjVyY30lGxCFh/m4A8XFb9uRW2j1Wro59+MWrUdqVbNhq2bTxJzI1XxTCEhi7h85TS5uQYcHZ3o0X0Q7dv3Jvr6Bfbs2czNm1fRarV4efkwwH8Mer2z4pliY2OYOmUUHTv2YNJrMzEajWzf/gV7935DVmYGbdp0ZNz4N7CzU/YjtScEvMS5c2ewsLAAwNWlJiEhoRw79iufLlpIfHwcWq0FrVu3ZeqUGbi61lQ0D5Rum3NnT/Duu5Ox1tmYzhk79nV8fZ9QNEd5bQPw1VchhGz5gtTUVNwauPHaa2/wyCNtFM2zN2w3a9eu5NatOJydXZj5zhxat27L0aO/8HHgR9y6FYdP8xa8M3MOdWrXVTTL340UIeIv02g1pKcb2Lr5JGlpBjwbOvPkwGZ8vvYoaWkGej/eBI1Ww/o1v5KTk4drTQdVsmRmGPhuxznS0gxoNNC6TT36+zdj4/pjiuUpy+h3fCnIK2Sc7xo8mrowY5k/0RcSiLmSpOh1K2qbjIxcbsakcvxoDE8ObK5ojrv59nyKoUMnYGlpRXx8DCtXzaJuXS+yszPp0L4PTZq0Rqu1YOfO1Xy1LYgxo2cpnil49ac0bOht2t6/fzcH9u9h3rxl2Ns7sGTxPNauWUzAxLcVzzJl8gwGDBhcYp+npxeffrIMV1dXcnNzWb16OQsXfsCCBYsUz3Nv2wBUr+7CylXbFL/2vcpqm3PnzvDZiiUsXxaMt3czQnds4623p/LtN3tNBUtlO3IkkuXLF/Pe3Pk0b96CxMQEAFJSknnr7Wm89eZ/6dKlO6tXL2fWf99k9erPFcnh5+eHtbU1Op0Og8FAu3btmD17Nt9++y0ffPAB9erVM53brVs33njjDUVyPCwZjhF/WX5eIYcPRpOWVrQicNSVJFJTcqhV25HqzrZ4NapB2O6LZGfnYTRC/K0MVbIYDAWm/QCFRiNO1W0Vy1IWna0lHXo3ZGtQJIbsPC6ciOVYRBTd/Jsqfu2K2qaw0MiJYzf542YaRqPiUUxq13LD0tIKAI1Gg0YDiUlxNPVuS6tWnbGxscPaWkfnzn25du13xfMc/Dkce3sHWrZ81LTv6NFD+PXqh4tLTWxt7Rg06DkOHdqHwZCjeJ6yODvXwNXV1bSt1VoQc1P5VbfLahtzExv7B56eDWnatDkajYa+TzxJSkoKycnKFfjBa1YwetTLtGjRCq1Wi6trTVxdaxKx/0c8Pb3w8+uNTqdjzJjxXLp8iWvRUYplWbJkCTt37uT777/n8uXL7N27F4DOnTuzc+dO0z9zKUBAihChADs7K6o725GQkEntOnrS03Lo1NWDVwI688KoR2ncxEWVLMVendSF16Z2x++xRhyJvF5lWQDquDtRWGAkNjrFtC/6QgL1Gyo/zHCvstpGDaE7VjLzv8P5OHAijo7VaerdttQ5V6POU6tWA0VzZGVlsmXLWl4YOaHkAaORuyszI0by8nKJjY1RNA/AipVL6dvPj3HjR3H8+FHT/ri4WPo83p2efp34cvNG/t9zIxXNUW7bAKlpyYwdM4hXX32G9euCyMnJVjRLsbLaplOnLhQWFnDu3BkKCgr47rudNG7sTY0ayvzOKSgo4Pffz5OcksywpwcwcNATBAbOx2DIISrqKo0bNTGda2trS7169Ym6elWRLHczGAwYDAb0er3i1/qrZDhGVCqtVkPfJ5tx/mwcyUnZNG7iiourA5cuJrBy+WHq1tMzaEhLEhOOk5Sk7FyMe7MUW77kIJZWWnx8apOWVrXvZm3srMnKMJTYl5WRi629VZXmKK9t1DB40DgGDhhL9PWLXL1y1tQzUiw29hrh4V8x8oU3Fc0RErIGP7/+uLiUnFvRpk0Hdu7cTKfOPbG3d2THji8BFO8JefWVSXh4eGFlZUVY2G6mT3+d9es3U79+A2rXrsOe3QdIS0tl5zehuLt7KJqlvLapW8+NhQvXUK+eG7dv32JZ0Ads2LCMceOUfaddXtvUq1cf3x69GP/KGMCIg4MjgYFL0Wg0iuRISkoiPz+fiH1hfLZ8DZaWlsx4cwrr1geTnZ2Fk1P1Euc7ODiQlfVwRX9aWhppaWml9uv1+lJFxqRJk9DpdFy/fp2uXbvStWtXtm/fzqFDhxg4cKDpvOeff55hw4Y9VA6lSBHyDxAUFITBYLj/iQ9o6tSpf/q1T/RvSmFBIT+GXQYgP7+AgoJCIg9FYzRCzI1UblxPwd2zuuJFyL1Z7pafV8ipk3/wysTOrF/zK9lZeYpmKZaTlYutvXWJfbb21mRnVs31i1XUNmrQai3w9GjGiRP7iYzcTZcu/QFISIhl7bp5DPAfjaencnNVoqIuceb0MRYsDC51rKdfPxIS45kz+3UKCgrw93+aY0cPUaOGshNBfXxamr7u18+fvWG7OHz4IMOGDTft1+ur0a/vk7wwcjg7d+zC0rLyf6VX1DbVq9egevUaANSqVYfnR4znww/eVLwIKa9trHXWfPf9TjZ98RX16zfgyJHDTJv2GuvXbS4xhFVZdDodAEOHDsfFpej7D3/medZvCKZ167ZkZpYsODIzMx96QvOGDRsICgoqtT8gIICJEyeW2LdkyRKaNGmCwWBg4sSJrF+/Hr1eT+fOnVmyZMlDXbeqSBHyD2AwGP5S4VBZ+vT1xt7emtBtZygsLOq+vh2vTld/WVnupdGAlaUWBwddlRUhsdEpWFhqqe1WjbjrRU+fuHu7KD4p9W4P0jZqKSwoIDExDoDk5HiCg+fQy28Ybdv6Knrd8+dOcvt2HK+88jQAOTnZFBYWEDPtGgsWBvPMM6N55pnRAJw6+SvOzq44O1fdsCIUzZkxUvrnVVBQQHJyEllZmej11Sr9uvdrmxIZKTuj0orb5vKli3Tt0h03N3cAOnbsgksNF86cPYVfz8cq/bp6vZ6aNWuV2dPi6enF//73nWk7Ozubmzdj8PTyeqhrjBw5ksGDB5faX9FQi06nw9fXl4iICJ54Qtknlf4qmRMiKkWvPo2pUcOOHV+fIT+/0LT/Zkwq6WkG2nd0Q6OBuvX0NHCrZnp8tyqzuLlXx7WmAxoNWFtb4OvXkBxDPkmJVVcoGbLzORJ2hWETOqKztaRJ6zq06+nJT98qP+kSym8bKHqE18JC839fa01fKyUjI4WTp37GYCj6o3bh4glOnvqZhg1bkpqayKrVs+nUqS8dOz6uaA6Ax3r7szToSxYuDGbhwmD69B5A27adeGfmx6SnpxEXdxOj0ciNG9fYsGEZQ4e9gFar3K/P9PR0In85hMFgID8/n927f+DkyeN0aN+JiIhwoqOvUVhYSHJyMkuWfkKTJk0VKUCg4rY5d/YEt2/fwmg0kpAQz6ZNK/nPf7ookqNYRW3TrJkPhw7/zM2bMRiNRo4cieT6jet4eTVULE//fgP4alsISclJpKWlsXXrJrp07kaP7n5cvXqFffvCMRgMrF23ikYNG+Hh7vlQ31+v11O/fv1S/yoqQgoLC/n111/x8PD4i/91ypOeEPGXOep1PNK6Lvn5hYyb0Nm0P2zPRX4/H8/O7Wfp/YQ37Tu4kZaWw67vf1dsHkJFWQoKCvF7rBEOjjry8wu4FZvO9q/OUFBQte/c1syLYPx7j7EyYiwZqTmsmRdRJT0h9/s5vTi2PdWqFX3ew5CnWwEQvCKyxBNFlUtDZOQuQkNXYDQaqe7kir//aHx82rM3bAtJSbcIC99KWPhW0yvem/ulIkl0Oht0d33WhY2NLdZW1lSr5sQff9xg/vy3SEyIR693ol//IfTuPUCRHMXy8/NZtWo516OvobXQ4u7mwfwPP8Hd3YMjRyJZGvQpyclJ2NnZ06bNo3z44ceKZamobQ4cuMjiJfPIzEjH0VHPf9p35bnnXlYsC1TcNm5u7ty8GUPAxJdJT0vDtWZNpk9/+6H/8D+MUaPGkpKawvDhg7C21uHn15uRI8eg0+n44P2FBH7yEe/OnYmPTwvmzp2vWA64MyckLy+Pxo0bM2HCBMLDw0vNCWnRogXvv/++olkelMZorMoH8sTdAgMDyx1GqejYXzn3YXyyYH+lf88/Y8r0HoB55CnOMrzlUpWTQMiZovFgc2gXuNM2O0LPqZwEBg32AeD0mTiVkxRp1bI2AIkqP4kEUMOlaE6CtE1pxW1jDlngTp5/MhmOEUIIIYQqpAgRQgghhCqkCBFCCCGEKqQIEUIIIYQqpAgRQgghhCqkCBFCCCGEKqQIEUIIIYQqpAgRQgghhCqkCBFCCCGEKqQIEUIIIYQqpAgRQgghhCpkATtRruK1QMyFOeUpXrfFHJhTu8CddVvMQfG6JObCnNYCkbYpnzll+aeTIsRM6XQ6AgMDH+jcGzduKJxGCCGEqHxShJipgICABz73QYuVh2Vuq7OaQx5zzGIOK/rCnd4hWUW3NHNcKVbapjRZRbfqyZwQIYQQQqhCihAhhBBCqEKKECGEEEKoQooQIYQQQqhCihAhhBBCqEKKECGEEEKoQooQIYQQQqjib/05IUFBQRgMBrVj/GnyIWNCCCH+zf7WRYjBYGDq1Klqx/jTlPqQMSGEEOLvQIZjhBBCCKEKKUKEEEIIoYq/9XCMMA8WFhp69W6Mm3t1bGwtSUnO5ucD17gWlQRAE29XOnV1x9FRR3qagZ8PRHHlcqIqWSwttXTv6YW3d020Fhpux2ewdfMpRbLcL49Wq6GffzNq1XakWjUbtm4+ScyNVMWylMVer2Pc3F606uRGeko2IYsPc/CHi1V2/ZCQRVy+cprcXAOOjk706D6I9u17E339Anv2bObmzatotVq8vHwY4D8Gvd5Z8UyxsTFMnTKKjh17MOm1mWz/eiPbQzeZjhcWFpCfl0fwmh3o9U6K5ZgQ8BLnzp3BwsICAFeXmoSEhHLw0E9s3LiOq1cvY22to0uX7kyaOAV7e+XXGbm3be62bNmHROzbxZKlm6hTp76iOcprmw0b1vD5xrWm8woKCsnLy+X778JwcqquWJ69YbtZu3Ylt27F4ezswsx35tC6dVuOHv2FjwM/4tatOHyat+CdmXOoU7uuYjn+jqQIEX+ZRqshPd3A1s0nSUsz4NnQmScHNuPztUcpLDTS98mm7Nx+jmtRSXh6OfPkwOYEr/yF7Ky8Ks2Slmag9+NN0Gg1rF/zKzk5ebjWdKj0DA+aJyMjl5sxqRw/GsOTA5srmqM8o9/xpSCvkHG+a/Bo6sKMZf5EX0gg5kpSlVzft+dTDB06AUtLK+LjY1i5ahZ163qRnZ1Jh/Z9aNKkNVqtBTt3ruarbUGMGT1L8UzBqz+lYUNv0/ZTQ0bw1JARpu2tW9Zx/rdTihYgxaZMnsGAAYNL7MvMyODFkWNo3botubl5zHn3bZYtW8T06e8onufetin222+nuRX3h+LXv1tZbTNy5BhGjhxj2g5es4KTJ48rWoAcORLJ8uWLeW/ufJo3b0FiYgIAKSnJvPX2NN5687906dKd1auXM+u/b7J69eeK5PDz82PFihU0adKkxP6jR4/y+eefs2TJEry9vTl+/Dj29vaMGDGC0aNH07NnTwoKCnjnnXe4ffs2QUFBBAcHExQUxMqVK/H19QUgMzOTrl274unpyfbt2ysttwzHiL8sP6+QwwejSUsrelIp6koSqSk51KrtiIOjDkNOvqknIupqEnl5BTg52VZ5lurOtng1qkHY7otkZ+dhNEL8rQxFcjxInsJCIyeO3eSPm2kYjYrGKJPO1pIOvRuyNSgSQ3YeF07Eciwiim7+TassQ+1ablhaWgGg0WjQaCAxKY6m3m1p1aozNjZ2WFvr6Ny5L9eu/a54noM/h2Nv70DLlo+WedxoNHLgwB58fZ9QPEt5+vTpS8eOXbCxsUWv1zPAfzCnzyjXm1esvLYpKMhn7ZrFjBnzuuIZHobRaGTXrh/o19df0esEr1nB6FEv06JFK7RaLa6uNXF1rUnE/h/x9PTCz683Op2OMWPGc+nyJa5FRyma517h4eH06tWr3OO5ubm8/vrrZGVl8dlnn2FrW/S7uXnz5oSGhprO27VrF56enpWeT4oQUens7Kyo7mxHQkImt+LSSUrKwqtRDTQaaNioBgUFRm7fVvaPf1lZatfRk56WQ6euHrwS0JkXRj1K4yYuVZKjrDxqq+PuRGGBkdjoFNO+6AsJ1G+o/JDH3UJ3rGTmf4fzceBEHB2r09S7balzrkadp1atBormyMrKZMuWtbwwckK55/z222lSUpPp0KG7olmKrVi5lL79/Bg3fhTHjx8t85yTJ4/j6emlaI6K2ua7776iWfNHcPdoqGiGe92vbU6eOk5yciK+vuX/Af6rCgoK+P338ySnJDPs6QEMHPQEgYHzMRhyiIq6SuNGd3olbG1tqVevPlFXryqWpywRERH06NGjzGPZ2dmMHz8eBwcHPv30U6ytrU3HOnTowIULF0hNLRoi3rFjB0899VSl55PhGFGptFoNfZ9sxvmzcSQnZQNw/uwt+j3ZDEtLLQUFhXy38zz5eYVVnqVxE1dcXB24dDGBlcsPU7eenkFDWpKYcJykpKwqz6M2GztrsjJKfs5OVkYutvZWVZpj8KBxDBwwlujrF7l65aypZ6RYbOw1wsO/YuQLbyqaIyRkDX5+/XFxqVnuORERu+jYsQe2tnaKZgF49ZVJeHh4YWVlRVjYbqZPf5316zdTv/6dYuzIkUj+t+s7Vq9Spou/WHltk5AQz9693/LRR6sUvf69HqRt/ve/7+jp+xh2dsr9rJKSksjPzydiXxifLV+DpaUlM96cwrr1wWRnZ5UaBnJwcCAr6+HegKSlpZGWllZqv16vR6/XV/jaS5cu4erqipNT2UOH7777Lr6+vnzwwQdoNJoSxzQaDX379uX777+nW7duZGdn07hx44fK/iCkCPkH0Ol0lfqZI3/ls1ee6N+UwoJCfgy7DICbuxPdfL34KuQkt+IyqFXbkYFP+RC67Qy345XtDbg3S35+AQUFhUQeisZohJgbqdy4noK7Z/UqKULuzaO2nKxcbO2tS+yztbcmO7Py5+rcj1ZrgadHM06c2E9k5G66dOkPQEJCLGvXzWOA/2g8PZWbNxMVdYkzp4+xYGFwuecYDAYiD0cwfcb7iuW4m49PS9PX/fr5szdsF4cPH2TYsOEAnD17mjnvvs378xbg5uauWI6K2mb9uqUMG/oC9vbKzq261/3axmDI4ccfw/ho/ieK5tDpdAAMHTocFxdXAIY/8zzrNwTTunVbMjNL/o7LzMzEzu7hJhBv2LCBoKCgUvsDAgKYOHFiha+931BMt27dOHToEFeuXKFRo0aljj/11FO88cYbJCQkMGjQoIfK/aCkCPkHCAgIUDsCAH36emNvb03otjMUFhZNcnCt6cDNG6nciisafrkVl05cbDpu7tUVLULKyqJ00fOwedQWG52ChaWW2m7ViLte1OXq7u1SZZNSy1JYUEBiYhwAycnxBAfPoZffMNq29VX0uufPneT27TheeeVpAHJysiksLCBm2jXTH98jvxzAwUGPj08bRbOUR6PRYKTo3rlw8Xemz5jM22/Npl27Dopet6K2uXUrlt9/P8PGL1aazn/nnVcZNWoi3br1VjTX3e5uG4CIiB/R6/W0bdtO0evq9Xpq1qxVqhcBwNPTi//97zvTdnZ2NjdvxuDp9XBDZyNHjmTw4MGl9t+vFwSKipBPPim/EOvfvz/dunVj1KhRrFu3rlQh0qBBA6ysrNi6dSvffvstFy9W/pNzUoSIStGrT2Nq1LBj25ZT5OffGWq5FZdO+w5uuNa053Z8Jq41HahXvxqnTig3k768LDdjUklPM9C+oxtHIq9Tp66eBm7VOBBxRbEsFeWBokd473ytxcJCQ0FB1RQphux8joRdYdiEjqyaE467tyvtenoya8S2Krl+RkYKl6+cpVnTR7GysubS5dOcPPUzzw6fTGpqIqtWz6ZTp7507Pi44lke6+1P5y5+pu1vv9lC/O04XnppimlfRMQuuvfoU+YfnMqWnp7OufNnaNP6USwsLAgP38PJk8d5bdIbXLl6mSlTApgyeTpdu5Y91l+ZKm4bI4WFd+7pl196ijff/BB399LvqitLRW1T7If/fUffJ56skp9V/34D+GpbCB06dsbSwpKtWzfRpXM3enT3Y9myxezbF07nzl1Zu24VjRo2wsP94SZ3PsiwS1lu3bpFbm4uDRpUPJdq4MCBGI1GXnzxRdavX1+qEJk6dSrXr1+nenVlnjCSIkT8ZY56HY+0rkt+fiHjJnQ27Q/bc5Hfz8dz+OA1/Af6YGdvRVZWHkcirxN9LVmVLDu3n6X3E9607+BGWloOu77/XdH5GffL8+LY9lSrZgPAkKdbARC8ItL0NI3S1syLYPx7j7EyYiwZqTmsmRdRhT0hGiIjdxEaugKj0Uh1J1f8/Ufj49OevWFbSEq6RVj4VsLCt5pe8d7cLxVJotPZoNPZmLZtbGyxtrKmWrWisfTExNucPXuCsS9NVuT698rPz2fVquVcj76G1kKLu5sH8z/8BHd3D+a9P5uUlGQ+nD+XD+fPBaB2rTps2qRM8Xi/trmXo2M10zCFEipqG4Dbt+M5fvxXpr2h7ByiYqNGjSUlNYXhwwdhba3Dz683I0eOQafT8cH7Cwn85CPenTsTH58WzJ07X+Eso0yfnWIwGHjyySdNx/Lz89FoNFhZlZ7zVTzUUlyI3K1Nmza0aaNc75/GaFTj4cDKERgY+LdfO8ac83+yYL/aEQCYMr3o3Z455DHHLMNbLlU5SZGQM0Xj0ztCz6mcBAYN9gHg9Jk4lZMUadWyNgCJZvBUVA2XojkJ0jalFbeNOWSBO3n+jDFjxjB58mRatGgBwOnTp3n99df58ccfKytepZCeECGEEOIfZs2aNaavFy5cyL59+5g5c2YFr1CHFCFCCCHEP9i0adOYNm2a2jHKJB9WJoQQQghVSBEihBBCCFVIESKEEEIIVUgRIoQQQghVSBEihBBCCFVIESKEEEIIVUgRIoQQQghVSBEihBBCCFVIESKEEEIIVcjaMSr6u+cXQggh/grpCRFCCCGEKmTtGFEuc1gNFe6siGoOeSRL+YrzmMOqvsUr+prbSrHmkMecsoCsoluRv7KK7t+F9IQIIYQQQhVShAghhBBCFVKECCGEEEIVUoQIIYQQQhVShAghhBBCFVKECCGEEEIVUoQIIYQQQhVShAghhBBCwNIY0gAAIABJREFUFVKECCGEEEIVUoQIIYQQQhXyse2iUoSELOLyldPk5hpwdHSiR/dBtG/fG4AjR/YSsT+U9PQUPDyaMmxoAHq9c5VnOXFiP9tDV5rOMxoLycvLZWLAQurXb1jleaKvX2DPns3cvHkVrVaLl5cPA/zHqNI2amQpi71ex7i5vWjVyY30lGxCFh/m4A8XqzRDbGwMU6eMomPHHkx6bSZnzx5n7dolJCbcRqvV0qx5K8aMeZ0aNVxVyWM0Gtm+/Qv27v2GrMwM2rTpyLjxb2Bnp/xHfN+b5dixw4SGbuLG9SisrK1p92gnRr4YgK2tnaI5JgS8xLlzZ7CwsADA1aUmISGhJc6Z9/5sfvjhW7Zu2UH9+m6K5tkbtpu1a1dy61Yczs4uzHxnDq1bt+Xo0V/4OPAjbt2Kw6d5C96ZOYc6tesqmuXvRooQUSl8ez7F0KETsLS0Ij4+hpWrZlG3rhe5uTns2r2Jl1+ei0uNOnz77Vq+3PwJ48fNq/Isbdr0oE2bHqbzjh79kfAfv6JePS/FslSUJzs7kw7t+9CkSWu0Wgt27lzNV9uCGDN61r8iS1lGv+NLQV4h43zX4NHUhRnL/Im+kEDMlaQqyxC8+lMaNvQ2bdev78HMmR/j7OxCXl4uISFrWL36E95880NV8uzfv5sD+/cwb94y7O0dWLJ4HmvXLCZg4ttVniUrK4MhQ0bQvPkj5OXlsXjRXDZ+/hkvj1N+dfApk2cwYMDgMo+dOnWCmzdjFM8AcORIJMuXL+a9ufNp3rwFiYkJAKSkJPPW29N4683/0qVLd1avXs6s/77J6tWfV0muvwsZjhGVonYtNywtrQDQaDRoNJCYFMf5336lVcvOpuO9eg0jKuo8iYnKLZ5VXpZ7HTseQdu2vmg0GsWyVJSnqXdbWrXqjI2NHdbWOjp37su1a7//a7LcS2drSYfeDdkaFIkhO48LJ2I5FhFFN/+mVZbh4M/h2Ns70LLlo6Z9Tk7OODu7mLa1Wgvi4m6qlufo0UP49eqHi0tNbG3tGDToOQ4d2ofBkFPlWbp1602bNh3Q6WxwcHDkscf8+f3CGUVz3E9+fj6ffLqAqVNmVMn1gtesYPSol2nRohVarRZX15q4utYkYv+PeHp64efXG51Ox5gx47l0+RLXoqMUyeHn58cTTzzBgAEDePLJJ/n+++9NxzZt2oS3tze//fZbideMGDGCTp06kZmZWWLfvn37FMlYFukJEZUmdMdKjh3bR15eLnXretLUuy03rl/EiNF0jtFY9HVc3HVq1KhdpVnulpwcT1TUeYYNnaBYhofJA3A16jy1ajX4V2W5Wx13JwoLjMRGp5j2RV9IoFm7elVy/aysTLZsWcus2Z/yY/j3JY7dvn2LN6aOJjs7E61Wy7jx09TLYzQW/SvexEheXi6xsTF4eDSq2iz3OP/bKRrU91Qkw71WrFzKZyuW4ubmzriXJ9C2bTsAtmzZROvWbWnUqIniGQoKCvj99/N07dqDYU8PIDc3l+7dfAkIeJ2oqKs0viuDra0t9erVJ+rqVTzclWmjJUuW0KRJE86fP8/w4cPp1KkTzs7OfP3113Ts2JGvv/6amTNnlniNra0t69atIyAgQJFM9yNFiKg0gweNY+CAsURfv8jVK2extLSiadNH2fRlIB07PI6LSx3Cwrei0WjIyzNUeZa7HTsegadHM5ydayma40HzxMZeIzz8K0a+8Oa/KsvdbOysycooeV9kZeRia29VzisqV0jIGvz8+uPiUrPUMVfXWmz4/HvS09MID/uOevWUnWNQUZ42bTqwc+dmOnXuib29Izt2fAmgaE9IRW1T7NSpX9kfsYsPPlyhWI5ir74yCQ8PL6ysrAgL28306a+zfv1mrKys2LHza9at3aR4BoCkpCTy8/OJ2BfGZ8vXYGlpyYw3p7BufTDZ2Vk4OVUvcb6DgwNZWZnlfLeypaWlkZaWVmq/Xq9Hr9eX+ZrmzZtjb29PTEwMt2/fJjk5maVLlzJkyBCmT5+OtbW16dyXX36ZJUuW8Nxzz+HsXLVzwECKEFXpdDoCAwPVjlHK1Kl/fjxXq7XA06MZJ07sJzJyN1269Kd37+Fs/GIhOTmZdOvqj7W1LdWq1ajExA+epdjx4/vp2fMpxTM8SJ6EhFjWrpvHAP/ReHo2/9dlKZaTlYutvXWJfbb21mRn5il+7aioS5w5fYwFC4MrPM/RUU8P38eZ9sYYVq7ahoWFMr9CK8rT068fCYnxzJn9OgUFBfj7P82xo4eoUaP8AkGpLMUuXjzH4sXvMXXqXOrWVb4Hzcenpenrfv382Ru2i8OHD3LixFFGj3oZBwdHxTNA0e9wgKFDh+PiUjRRefgzz7N+QzCtW7ctMcwBkJmZ+dATiDds2EBQUFCp/QEBAUycOLHM10RGRmIwGPDw8GDp0qUMGjSIevXq0axZM8LCwujXr5/p3Fq1ajFw4EBWrFjB228rP6/oXlKEqEit7q+qUFhQYJr30blTXzp36gvA7dt/EP7jNmrVUv6dZFlZAK5d+420tCRatexcZRnKy5OcHE9w8Bx6+Q2jbVvff3WW2OgULCy11HarRtz1VADcvV2qZFLq+XMnuX07jldeeRqAnJxsCgsLiJl2rdQf38LCAlJTk8nKysLRsex3okrneeaZ0TzzzGgATp38FWdn1xLzVqoyS9TVi3w0/21efXUGLVs9ep/vpgyNRoMRI0ePHeHU6ZMsW77YdOzlcS/y+mvT6NOnb6VfV6/XU7NmrTLnlXl6evG//31n2s7OzubmzRg8vR5uIvzIkSMZPLj0BNyyekEmTZqETqfDwcGBpUuXYmNjw3fffceWLVsAGDx4MF9//XWJIgRg3Lhx9OvXjxdffPGhslUGKULEX5aRkcLlK2dp1vRRrKysuXT5NCdP/cyzwyeTl5dLYmIstWq5kZKawPbtn9G1S3/s7ByqPEuxY8cjaNmiIzqdrSIZHjRPamoiq1bPplOnvnTs+Pi/KktZDNn5HAm7wrAJHVk1Jxx3b1fa9fRk1ohtil/7sd7+dO7iZ9r+9pstxN+O46WXpvBL5AHqN/CgTp36pKensWH9Mjw9GytWgNwvT3p6GpmZ6dSqVZeYmGg2bFjG0GEvoNUq85xBRVmuX7/K++9PZ/SY12jXrosi179Xeno6586foU3rR7GwsCA8fA8nTx7ntUlv8Nhjj2MsLDSd6z+gDws+WkTjxsrND+nfbwBfbQuhQ8fOWFpYsnXrJrp07kaP7n4sW7aYffvC6dy5K2vXraJRw0YPPR+komGXexXPCSm2a9cuMjIyTMVFYWEhCQkJxMbGUqdOHdN5Tk5OPP/88yxduvShslUGKUJEJdAQGbmL0NAVGI1Gqju54u8/Gh+f9mRnZ7I5ZBGJiXHodLa0a+dHnz7PqpIFIC8vl9OnDzLi+ekKZniwPHvDtpCUdIuw8K2EhW81veK9uV/+C7KUbc28CMa/9xgrI8aSkZrDmnkRVdITotPZoNPZmLZtbGyxtrKmWjUnkpJus+HzZaSlpmBja4dP89ZMm67cI+b3y/PHHzeYP/8tEhPi0eud6Nd/CL17D1AlyxdffEZaWgqffbaAzz5bAICrSy0+XbRBsTz5+fmsWrWc69HX0FpocXfzYP6Hn+Du7lHm+U5OTiXyV7ZRo8aSkprC8OGDsLbW4efXm5Ejx6DT6fjg/YUEfvIR786diY9PC+bOna9YjrJ8/fXXzJo1i2HDhpn2zZo1i9DQUF599dUS57744os8/vjjihWz5dEYjXdNs/6bCQwM/EvzF0TFdoSeUzsCAIMG+wDmkUeylK84z/CWVf9u6l4hZ4rGyk+fUe5R8IfRqmXRk2DmkMecssCdPIkJDzdhUwk1XIrma5hDFriT50H4+fmxYsUKU0/IrVu3ePzxxzlw4ECJnpRff/2Vt956i7179/LCCy8wevRoevbsCcAXX3zBe++9x4oVK0z7lCY9IUIIIcTf3I8//lhiu1atWpw8ebLUef/5z38ICwsDYOPGjSWOPf/88zz//PPKhSyDfFiZEEIIIVQhRYgQQgghVCFFiBBCCCFUIUWIEEIIIVQhRYgQQgghVCFFiBBCCCFUIUWIEEIIIVQhRYgQQgghVCFFiBBCCCFUIUWIEEIIIVQhRYgQQgghVCEL2AkhhBBCFbKAnSiXua2yaQ55JEv5zClPcRZzWNEX7qzqaw4rHpvr6svmdN/8HVfR/buS4RghhBBCqEKKECGEEEKoQooQIYQQQqhCihAhhBBCqEKKECGEEEKoQooQIYQQQqhCihAhhBBCqEKKECGEEEKoQooQIYQQQqhCihAhhBBCqEKKECGEEEKoQtaOEZUqNjaGqVNG0bFjDya9NhOj0cj27V+wd+83ZGVm0KZNR8aNfwM7O+XXRDCnLOaW594s27/eyPbQTabjhYUF5OflEbxmB3q9U5XnOXv2OGvXLiEx4TZarZZmzVsxZszr1KjhqniWYvZ6HePm9qJVJzfSU7IJWXyYgz9crLLrh4Qs4vKV0+TmGnB0dKJH90G0b9+bpKR4PlowHmtrG9O5PXoM4rFeT/8rstzNHO6bCQEvce7cGSwsLABwdalJSEgoCQm3WbDgfX7//TwJiQl8ve076tSpq1iOvyspQkSlCl79KQ0bepu29+/fzYH9e5g3bxn29g4sWTyPtWsWEzDx7X9VFnPLc2+Wp4aM4KkhI0zbW7es4/xvp6qkACkrT/36Hsyc+THOzi7k5eUSErKG1as/4c03P6ySPACj3/GlIK+Qcb5r8Gjqwoxl/kRfSCDmSlKVXN+351MMHToBS0sr4uNjWLlqFnXremFn5wjAnNkbTX/4/k1Z7mYu982UyTMYMGBwiX1arZYOHTsz4oVRjBs3StHrA/j5+bFixQrWrl1LixYteP755xW/ZmWQ4RhRaQ7+HI69vQMtWz5q2nf06CH8evXDxaUmtrZ2DBr0HIcO7cNgyPnXZDG3PGVluZvRaOTAgT34+j6haI6K8jg5OePs7GLa1motiIu7WSV5AHS2lnTo3ZCtQZEYsvO4cCKWYxFRdPNvWmUZatdyw9LSCgCNRoNGA4lJ6qw0a05ZipnjfXM3Z+caDHnqaZo19VHl+n8XUoSISpGVlcmWLWt5YeSEkgeMxqJ/xZsYycvLJTY25l+RxdzylJvlLr/9dpqU1GQ6dOiuWI4HyXP79i1GvtCf//dcH779JoSBA59VPE+xOu5OFBYYiY1OMe2LvpBA/YbOVZYBIHTHSmb+dzgfB07E0bE6Tb3bmo7N/2gc738wlq1fLSUzM+1flcXc7psVK5fSt58f48aP4vjxo4pf759EhmNEpQgJWYOfX39cXGqW2N+mTQd27txMp849sbd3ZMeOLwEUfbdvTlnMLU95We4WEbGLjh17YGtrp1iOB8nj6lqLDZ9/T3p6GuFh31GvnpvieYrZ2FmTlWEosS8rIxdbe6sqywAweNA4Bg4YS/T1i1y9chZLSyvs7R2ZGLCAOnU8ycpKZ8fOVWwOWcTYMbP+NVnM6b559ZVJeHh4YWVlRVjYbqZPf5316zdTv36DSvn+aWlppKWVLuz0ej16vb5SrqEmKULMSFBQEAaD4f4nKmzq1KkPdX5U1CXOnD7GgoXBpY719OtHQmI8c2a/TkFBAf7+T3Ps6CFq1Cj/j+BfYU5ZzC1PRVmKGQwGIg9HMH3G+4pkeNg8AI6Oenr4Ps60N8awctU2LCyU/7WVk5WLrb11iX229tZkZ+Ypfu17abUWeHo048SJ/URG7qZLl/7Ur98IAEdHJwYNfIl5748hJycLGxtlC0dzyGJu942PT0vT1/36+bM3bBeHDx9k2LDhlfL9N2zYQFBQUKn9AQEBTJw4sVKuoSYpQsyIwWB46ALAHJw/d5Lbt+N45ZWiGfE5OdkUFhYQM+0aCxYG88wzo3nmmdEAnDr5K87OriXGbf+pWcwtz/2yABz55QAODnp8fNookuFh8xQrLCwgNTWZrKwsHB2Vf/cXG52ChaWW2m7ViLueCoC7t0uVTUotS2FBAYmJZc3D0ABFw3n/hizmfN9A0ZyZyvzvHzlyJIMHDy61/5/QCwJShIhK8Fhvfzp38TNtf/vNFuJvx/HSS1NIT08jMzOdWrXqEhMTzYYNyxg67AW0WmWmI5lTFnPLU1GWYhERu+jeow8ajUaRDA+a55fIA9Rv4EGdOvVJT09jw/pleHo2rrI/JIbsfI6EXWHYhI6smhOOu7cr7Xp6MmvEtiq5fkZGCpevnKVZ00exsrLm0uXTnDz1M88On8z16xextbWnRo06ZGdn8s23wXh5tcDWRplHu80pC5jXfZOens6582do0/pRLCwsCA/fw8mTx3lt0htA0RvLwsJCAHJzczEYDOh0uoe6xj9l2KU8UoSIv0yns0Gnu/M5ATY2tlhbWVOtmhN//HGD+fPfIjEhHr3eiX79h9C794B/RRZzy1NRFoDExNucPXuCsS9NVizDg+ZJSrrNhs+XkZaago2tHT7NWzNt+rwqyVVszbwIxr/3GCsjxpKRmsOaeRFV2BOiITJyF6GhKzAajVR3csXffzQ+Pu05efIndu3eREZGKjY2tjRu9AjPPavkz8ycspjXfZOfn8+qVcu5Hn0NrYUWdzcP5n/4Ce7uHgD09OtkOvfZ554C4NDB44rlKbZ48WJWrVpl2n7vvffo0aOH4tf9MzRGo7Hq+vAqWWBg4N9y+KI85vbfc/qMuo/gFWvVsjZgHnkkS/nMKU9xluEtl6qcpEjImaKx+x2h51ROAoMGFz0yag5Z4E4ec7pvEhMyVU5SpIZL1XyQoprkEV0hhBBCqEKKECGEEEKoQooQIYQQQqhCihAhhBBCqEKKECGEEEKoQooQIYQQQqhCihAhhBBCqEKKECGEEEKoQooQIYQQQqhCihAhhBBCqEKKECGEEEKoQtaOMSP/tP8eIYQQoiLSEyKEEEIIVViqHUCYL3NY1RLMa2XL4lUtJUtpxXnM4b4pvmfMbaVYc1jV15xW9AXzWtXXnFb0hTv38T+Z9IQIIYQQQhVShAghhBBCFVKECCGEEEIVUoQIIYQQQhVShAghhBBCFVKECCGEEEIVUoQIIYQQQhXyOSGVICgoCIPB8Je/z40bNyohjRBCCPH3IEVIJTAYDJXyceuBgYGVkEYIIYT4e5DhGCGEEEKoQnpCRKWYPes1Ll06j9bCAgBnZxeWLPkCgJ9+2suXm1aTnp5Kq1bteOXVGTg66hXNMyHgJc6dO4PF/+VxdalJSEgoBw/9xMaN67h69TLW1jq6dOnOpIlTsLe3r/Isx479yqeLFhIfH4dWa0Hr1m2ZOmUGrq41FctSUR412qZYbGwMU6eMomPHHkx6bSZGo5Ht279g795vyMrMoE2bjowb/wZ2dsplCQlZxOUrp8nNNeDo6ESP7oNo3743SUnxfLRgPNbWNqZze/QYxGO9nlYsS1ns9TrGze1Fq05upKdkE7L4MAd/uFgl1y6vbaKvX2DPns3cvHkVrVaLl5cPA/zHoNc7q5LnbnvDthAWtoWxY2bTuPEjiuaB0vfw9q83sj10k+l4YWEB+Xl5BK/ZgV7vpHievwspQkSlGTPmNXo99mSJfTduRLFqZSBvvf0Rnp6NWbnyY4JXf8rkKbMVzzNl8gwGDBhcYl9mRgYvjhxD69Ztyc3NY867b7Ns2SKmT3+nyrN4enrx6SfLcHV1JTc3l9Wrl7Nw4QcsWLBI0Szl5VGrbQCCV39Kw4bepu39+3dzYP8e5s1bhr29A0sWz2PtmsUETHxbsQy+PZ9i6NAJWFpaER8fw8pVs6hb1ws7O0cA5szeaCrc1DD6HV8K8goZ57sGj6YuzFjmT/SFBGKuJCl+7fLaJjs7kw7t+9CkSWu0Wgt27lzNV9uCGDN6lip56tdvCEBiYhxnzxzG0bG6ojnudu89/NSQETw1ZIRpe+uWdZz/7ZQUIPeQIkQo6qcDe3m0XWeaNy96JzJ8+Bhef/0FsrOzsLW1q/I8ffr0NX1tY2PLAP/BBK9ZWeU5AJyda5TY1motiLmp3uRktdrm4M/h2Ns74O3dgri4mwAcPXoIv179cHEp6hUaNOg53n13Mi+9PAWdzqaib/en1a7lZvpao9Gg0UBiUpypCFGTztaSDr0bMm3wlxiy87hwIpZjEVF082/K5kWHFL9+eW3zSKsuJc7r3LkvK1b+V7U8xUXIjp2r6dt3BDt2rFI8C5R9D9/NaDRy4MAehg4bqWiOvLw8li9fzg8//IClpSWFhYX06NGDbt268eqrr+Lp6UleXh4AXbt25dVXX6VatWoAREZGEhgYSG5uLrm5ubi6urJ+/Xq02tKzNkaMGMEff/yBg4MDBoOBZ599lpEjRxITE0OfPn1o3LgxhYWF2NnZMWfOHJo1a1ZuZilCRKXZ9OUqNm1aRd26DXj22bH4tGjDjRvX8PZuYTqndu16WFpa8ccfN0q8a1DCipVL+WzFUtzc3Bn38gTatm1X6pyTJ4/j6emlaI6KssTFxfLCyGfIzMxEq7XgzRkzFc9SUZ67VUXbZGVlsmXLWmbN/pQfw7+/c8BoLPpXvImRvLxcYmNj8PBopFie0B0rOXZsH3l5udSt60lT77ZkZqYDMP+jcQA0bvwI/fuNxN5e2SHFu9Vxd6KwwEhsdIppX/SFBJq1q1dlGcpqm3tdjTpPrVoNVM1z+vQhLC0sadr00SrJUe49fJfffjtNSmoyHTp0VzTLW2+9hcFg4Ouvv8bBwYG8vDy2b99Obm4uDRs2ZPv27QBkZGQwf/58XnzxRbZt24bRaGTSpEl8/vnnNG3aFIDz58+j0WjKvdbMmTPp2bMnsbGxPPnkk3To0AEHBwccHR3ZuXMnABs2bODtt98mNDS03O8jRYioFM8/P476DTywtLTk4MEfmT//LRZ+vIacnOxS4/h2dvbkZGcpmufVVybh4eGFlZUVYWG7mT79ddav30z9+nd+QR45Esn/dn3H6lWfq5aldu067Nl9gLS0VHZ+E4q7u4eiWe6Xp1hVtU1IyBr8/PqbejyKtWnTgZ07N9Opc0/s7R3ZseNLAAyGHEXzDB40joEDxhJ9/SJXr5zF0tIKe3tHJgYsoE4dT7Ky0tmxcxWbQxYxdoyyQw53s7GzJiuj5McAZGXkYmtvVWUZymqbu8XGXiM8/CtGvvCmankMhmx27d5UpT+b8u7hu0VE7KJjxx5/qvc3LS2NtLS0Uvv1ej16/Z1C+Nq1a4SFhbF//34cHBwAsLKy4plnnuGXX34p8VoHBwdmz55N7969+emnn2jTpg1ZWVm4uLiYzmnevPkD5atTpw6enp5ERUXRsmXLEse6dOnCp59+WuHrpQgxU5X12SN/xp953Lhxkzs3rK/vE/z8czgnjkdiY2NLdnZmiXOzszKxUXgoxsfnzv8M/fr5szdsF4cPH2TYsOEAnD17mjnvvs378xbg5uauahYAvb4a/fo+yQsjh7Nzxy4sLZX7X9Nc2iYq6hJnTh9jwcLgUsd6+vUjITGeObNfp6CgAH//pzl29BA1aig7aReKhsU8PZpx4sR+IiN306VLf+rXL+p9cXR0YtDAl5j3/hhycrKwsamaIcWcrFxs7a1L7LO1tyY7M69Krl+srLYBSEiIZe26eQzwH42n54P98VIiT3JyPG3b9MDZuVaVXL+ie7iYwWAg8nAE02e8/6eusWHDBoKCgkrtDwgIYOLEiabt8+fP4+7ubhpeuR8rKyuaNWvGpUuX8PX15emnn6ZPnz60b9+etm3b4u/vT506de77fS5fvszVq1fx9i7ds71r164Kh2JAihCzVVmfPaIWDUXjoA0aeHDt2hXT/lu3/iAvP4+6daumy9aUR6PBSFH3/oWLvzN9xmTefms27dp1qNIc92a5W0FBAcnJSWRlZaLXP9gvksrOU5Vtc/7cSW7fjuOVV4qeMsnJyaawsICYaddYsDCYZ54ZzTPPjAbg1MlfcXZ2xdnZpaJvWakKCwpITIwr40hRF3VZP0OlxEanYGGppbZbNeKupwLg7u1SJZNSy3J32yQnxxMcPIdefsNo29ZX1TxXo86RmprI4chdAGRmprHpy0B8ewzC1/epSr/u/e5hgCO/HMDBQY+PT5s/dY2RI0cyePDgUvvv7gX5s4x3DXnOmjWLUaNGERkZyYEDB1i5ciVff/01Hh4eZb523rx5LFq0CJ1Ox9y5c/Hy8iImJob09HQGDhz4f7//GzB//vwKM0gRIv6yzMx0Ll36jebNH8HCwoJDB/fx22+neXHURAoLC3jn7Vf57fwpPL2asCVkLR3ad1d0Ump6ejrnzp+hTetHsbCwIDx8DydPHue1SW9w5eplpkwJYMrk6XTt2kOxDA+SJSIiHE/PhjRo4EZqaipLln5CkyZNFS1AzKltHuvtT+cufqbtb7/ZQvztOF56aQrp6WlkZqZTq1ZdYmKi2bBhGUOHvVDmJLnKkJGRwuUrZ2nW9FGsrKy5dPk0J0/9zLPDJ3P9+kVsbe2pUaMO2dmZfPNtMF5eLbC1Uf7R5WKG7HyOhF1h2ISOrJoTjru3K+16ejJrxDbFr11R26SmJrJq9Ww6depLx46PK57lfnl69XqawsJ807lLg6bzZP9ReHv/uQLgfiq6h4tFROyie48+Fc6vqMi9wy7lad68OdHR0aSmpj5Qb0heXh6///47zz77rGlfgwYNaNCgAcOGDWPs2LHs27ePRo0a8fHHHwPg7+/P2LFjgTtzQu5195yQByFFiPjL8vMLCNkczM2b19FqLahXz41p0+dRr17RDPaXXp7C4iXzyEhPo2XLR3l1grJjxvn5+axatZzr0dfQWmhxd/Ng/oef4O7uwbz3Z5OSksyH8+fy4fy5ANSuVYdNm5T5ZV5RliNHIlka9CnJyUnY2dnTps2jfPjhx4rkeJA8Vd02Op1NiSddbGxssbYEiF0SAAAgAElEQVSyplo1J/744wbz579FYkI8er0T/foPoXfvAYrkKKIhMnIXoaErMBqNVHdyxd9/ND4+7Tl58id27d5ERkYqNja2NG70CM89O1nBLGVbMy+C8e89xsqIsWSk5rBmXkQV9YSU3zZ7w7aQlHSLsPCthIVvNb3ivblfqpLnXlqNFltbe3Q6W0WSVHQPAyQm3ubs2ROMfUn5+8XDwwM/Pz9mzZrF+++/j4ODAwUFBXzxxRe4ubmVODczM5OPPvqI6tWr07VrVzIzMzlx4gRdunRBo9GQlpZGTEwM9evXp1u3bnTr1k2x3Brj3f0xfzOBgYFmMWRRWTnu/j7m8N92+kxZXdFVr1XL2gAkJmTe50zl1XApevcrWUorzmMO903xPbMj9JzKSYoMGuwDwPCWS1VOAiFniuYRmFvbmEOe4izmcA/Dnfv4QeXm5rJs2TJ27dqFlZWV6RHd4sdxPTw8yM/Px2g00rVrVyZMmEC1atXIyMhg2rRpXL16FZ1OR0FBAf369WPChAllXmfEiBGMHj26VE9ITEwMQ4YMKTURtiLSEyKEEEL8A1hbWzN58mQmTy7d83Lq1KlyX+fg4MBnn332wNfZuHFjmfvr16//UAUIyNoxQgghhFCJFCFCCCGEUIUUIUIIIYRQhRQhQgghhFCFFCFCCCGEUIUUIUIIIYRQhRQhQgghhFCFFCFCCCGEUIUUIUIIIYRQhRQhQgghhFCFFCFCCCGEUIWsHSPK9bCLJymteIE0cyBZymdO903xgmTmonjxOHNgbm1jTnnM6R7+p5MixIzodDoCAwMBuHHjhspphBBCCGVJEWJGAgICTF8XFyNqMrflrM0hj2QpnznlKc5iDsvDg3kuVz+85VKVkxQp7h0yp/smMSFT5SRFzK2XUwkyJ0QIIYQQqpAiRAghhBCqkCJECCGEEKqQIkQIIYQQqpAiRAghhBCqkCJECCGEEKqQIkQIIYQQqpAiRAghhBCqkCJECCGEEKqQIkQIIYQQqpCPbReVKjY2hqlTRtGxYw8mvTazxLFlyz4kYt8ulizdRJ069as8y7mzJ3j33clY62xM54wd+zq+vk8onsXc8pjTz6msPMeOHSY0dBM3rkdhZW1Nu0c7MfLFAGxt7RTLEBKyiMtXTpOba8DR0Yke3QfRvn1vkpLi+WjBeKyt7/ycevQYxGO9nlYsS0V5oq9fYM+ezdy8eRWtVouXlw8D/Meg1zsrmudu9nod4+b2olUnN9JTsglZfJiDP1yssusXu/e+SU5OZOXKj7l65QLJyYksWx5CzZp1FM0wIeAlzp07g4WFBQCuLjUJCQnl4KGf2LhxHVevXsbaWkeXLt2ZNHEK9vb//I9ifxhShIhKFbz6Uxo29C61/7ffTnMr7g/Vs1Sv7sLKVduqNIc55jGnn1NZebKyMhgyZATNmz9CXl4eixfNZePnn/HyuKmKZfDt+RRDh07A0tKK+PgYVq6aRd26XtjZOQIwZ/ZG0x+aqlBenuzsTDq070OTJq3Rai3YuXM1X20LYszoWVWWbfQ7vhTkFTLOdw0eTV2Yscyf6AsJxFxJqrIMUPq+0Wg0tGndnsGD/x8z35lQZTmmTJ7BgAGDS+zLzMjgxZFjaN26Lbm5ecx5922WLVvE9OnvKJYjLy/v/7d35/Exnf3/x19ZJ8uILaEqsthCLC11FxVEitqCKK0uboIm1C52vihBirRKqH1r3Q1qX5pWaKpK7Gvc9r2NSMhClsk2vz/8MkQSa86c6d3P8/HwePRc55o5755zJvOZ6zozhwULFrBz504sLS3Jzc2lefPmNG3alNDQUDZu3Gjoe+HCBfr168eePXsUy/M8ZDpGFJs/9u3G3l5LnTpv5WvPyclm+bJv6NNnqOpZ1GJKeUzpOBWVp2nTVtSr1xCNxgattgQtW/py7vxpRXO8Vt4FS0sr4OGbmZkZ3L2n3k3VispTw6M+deu+g42NHdbWGt55py3Xrp0zWi6NrSUNW1VhXVg0uvQszh+P5WjUVZr61jBaBij8vClVqgzvtfGjalXjZilM69ZtadSoCTY2tjg4ONDR149Tp08qus2xY8dy6dIlNmzYwI4dO9i6dSvu7u5kZmYqut1XIUWIKBZpaamsXbucf/cs+Olj+/b11PR8A1e3KqpnSU5JpG+fznz++YesXBFGRkb6PyqPKR2nZ+V53Nn/nqSSs7vieTZtXsSE/+vO7NBBlChRmhoe9Q3rQr4MZNr0vqxbP4/U1BTFszwrT54rV89Svnwlo+QBqOBaitwcPbHXkwxt188n4FzFeNNBz3veGMvCRfNo286HwH7+HDt2pNA+J04cw929smIZrl27RmRkJMHBwWi1WgCsrKz48MMPsbNTbhrzVcl0jCgW4eHL8PFpj6NjuXztCQl32LVrG19+uVj1LK9XdGHWrGVUrOhCfHwc88Oms2rVfAIDR/xj8pjScXpansedPHmY36IimD5joeJ5/DoH0qljX67fuMCVy2ewtLTC3r4EgwbOpEIFd9LS7rN5y2J+CJ9D3z7KT38UludxsbHX2L17PT3/PUbxLHls7KxJe6DL15b2IBNbe6siHlH8nue8MZbP+w/Gza0yVlZWREb+zKhRQ1m58gecnR8VhocORfNTxHaWLF79ws+fkpJCSkrBotfBwQEHBwfD8tmzZ3F1daVkyZKFPs/ly5fp1KmTYVmn0xXaz9ikCDFRGo2G0NBQVbYdFPRi8+5Xr17k9KmjzJy1tMC6lSvm0a3rv7G31xZXvJfOUrp0WUqXLgtA+fIV+LRHP2ZMH6Pom74p5TGl4/SsPHkuXIjhm2+mEhQ0hddfN86nfXNzC9zdanL8+G9ER/9MkybtcXauCkCJEqXo3Okzgqf1ISMjDRsb5T9hFpYHICEhluUrguno2xt3d0/Fc+TJSMvE1t46X5utvTXpqVlG2f7znDfGVKtWHcN/t2vny67ICA4c+INu3boDcObMKSZ/MY5pwTNxcXF94edftWoVYWFhBdoHDhzIoEGDnvt5qlSpUug1IWqTIsREDRw4UO0Iz+1szAni42/Tv//DbwtkZKSTm5vDrZHXiIuL5dy503z3/SJD//HjP8fffxBNm7YyapYn/2iZYYYefbFnMNU8pnScnpVn5qylXL1ygS9DxvH556OpU9f419Lk5uRw925h14SYASh+7jwtT2LiHZYuncy7Pt2oX9/bqDlirydhYWnOay4luX0jGQBXD0ejXZT6Iq8pNZiZPXodn79wjlGjhzFu7CQaNGj4Us/Xs2dP/Pz8CrQ/PgoC4OnpyfXr10lOTi5yNMQUSREiXlnLVr6808THsLxt61ruxN/ms8+GA3pyc3MN6wI+68KYMTNwda1q9CwxZ45TrvzrODqW4+7deNasWcS//tVEkRymmMeUjtOz8ty4cYVp00bRu88QGjRQ9hgBPHiQxKXLZ6hZ4y2srKy5eOkUJ07u46Puw7hx4wK2tvaULVuB9PRUtm5bSuXKtbG1Ue6rlk/Lk5x8l8VLJtG4cVsaNXpPsQxF0aVncyjyMt0GNGLx5N24ejjRoIU7E3sY51teTz+PITNTZziXs7KyyMzUYW2tUSTL/fv3iTl7mnpvvoWFhQW7d//CiRPHGDJ4BJevXGL48IEMHzYKL6/mL72NJ6ddiuLm5oaPjw8TJ05k2rRpaLVacnJy+P7773FxcXnp7StNihDxyjQaGzSP/daFjY0t1lbWlCxZqtD+JUqURKNR5o/C07Ls3XuBb+YGk/rgPiVKOPCvt734+OMARXKYYh5TOk7PyvP999+SkpLEt9/O5NtvZwLg5Fier+esUiiNGdHREWzatBC9Xk/pUk74+vamVq23OXHidyJ+XsODB8nY2NhSreobfPzRMIVyPDvPrsi13LsXR+TudUTuXmd4xNQp/1E40yPLgqPoN7Uli6L68iA5g2XBUUYbCXnWefzJx60N64YO6QHA+h9/UyRLdnY2ixcv4Mb1a5hbmOPq4kbIjK9wdXUjeNokkpISmREyhRkhUwB4rXwF1qxRrlgLCQlh/vz5vP/++1hZWRm+olu1qnIfJl6VmV6vN+6YYjEKCwsziYtrbt68yZw5c9SOUexOnVbv64mPq1vnNcA08kiWoplSnrwsmzfFqJzkoc5+tQDTyJOXpXudeSoneSj89MPrGkzpvLmbkKpykofKOv7v/7DZ33okxFSum1DrAlIhhBDi70x+J0QIIYQQqpAiRAghhBCqkCJECCGEEKqQIkQIIYQQqpAiRAghhBCqkCJECCGEEKqQIkQIIYQQqpAiRAghhBCqkCJECCGEEKqQIkQIIYQQqvhb3zvGVISGhhIUFKR2DCGEEOJvRUZChBBCCKGKv/UN7ISyTO1OkqaQR7IUzZTy5GUxhTuzgmnd1TfvLrqmtm9M4a6+eXf0NYXjBI+O1f8yGQkRQgghhCqkCBFCCCGEKqQIEUIIIYQqpAgRQgghhCqkCBFCCCGEKqQIEUIIIYQqpAgRQgghhCqkCBFCCCGEKqQIEUIIIYQqpAgRQgghhCrkZ9tFsRgw8DNiYk5jYWEBgJNjOcLDN3Hs2BEGDQ7ExsbG0Ddo+BjatfNVJQ9AYmIic76ZxYED+zAzM6NxIy8mT56mSpb168MJX/s9ycnJuFRyYciQEbzxRj3Fsjwtz6pVy1j93XJDv5ycXLKyMtmxPZJSpUobNcvjgqdNYufObaxbuxlnZxdFcjwuNvYWQcP9adSoOYOHTODMmWMsXz6XuwnxmJubU9OzLn36DKVsWSdFc4SHz+HS5VNkZuooUaIUzZt15u23W+XrsytyLZGRa+nbZxLVqr2haB4ouG8SE++yaNFsrlw+T2LiXeYvCKdcuQqK53iSvYOGwCnvUrexC/eT0gn/5gB/7Lxg1AwJCX/x9Zxh1KndmO7dhwJw/MReIiK+JzX1PtWqvUG3rgOwsyth1FymTooQUWyGDxtNx45+BdodHZ3YsjnCZPKMGxdEjZq12LhhBzY2Nly+clmVLDExp/l24VwWzF+Kh0dNNm3+kbHjgti2dZfhTdmYeXr27EPPnn0My0uXLeTEiWOKFSBPy5Ln5Mnj/PnnLUW3/6SlS76mShUPw7KzsxsTJsymTBlHsrIyCQ9fxpIlXzFmzAxFc3i36ELXrgOwtLTizp1bLFo8kddfr4yzcxUA7t69zZnTByhRQtnj87gn942ZmRn13nwbP79PmDB+gNFyPKn3eG9ysnIJ9F6GWw1HRs/35fr5BG5dvme0DJu3LMHZuaph+XbcDTZuXIh/r/FUrFiZjRsXsmnzYj75WO64/jiZjhH/KAcPHiDuThwDBwxFqy2BpaUVHtVrqJIlNvYv3N2rUKOGJ2ZmZrRt04GkpCQSE433h7Moer2eiIidtGur7IjV02RnZ/PV1zMJGj7aaNv8Y99u7O211KnzlqGtVKkylCnjaFg2N7fg9u0/Fc/yWnkXLC2tgIdv9mZmcPfeo5vObd6yhLZte2BpYZzPkkXtm/fa+FG1qjqvIQCNrSUNW1VhXVg0uvQszh+P5WjUVZr6Gi/TiZP7sLGxp2qVOo/aju/Fs+a/qFy5FhqNLa1bf0RMzEF0unRFMvj4+NCmTRs6duxIhw4d2LFjB5mZmUyePJn27dvj6+tLhw4d2LZtGwAHDx7kjTfeoHPnzrRv35727dszY8YMkpOTFclXFClCRLFZuGgebdv5ENjPn2PHjhjaExPv0b5DS97v2oFvvplNeroyL8LnyRMTcxoXF1emBk+kTdsW9O7zKcePH1UlS+PGTcjNzSEm5jQ5OTls376FatU8KFvW8RnPpkyex504eYzExLt4e7+rWpa1a9fw5pv1qVq1uuIZANLSUlm7djn/7lnwE318fBw9/92eTz5uzbat4XTq9JFRMm3avIgJ/9ed2aGDKFGiNDU86gNw6tR+LC0sqVHjrWc8Q/F42r5RWwXXUuTm6Im9nmRou34+AecqZYyy/YyMNHbt+oEO7Xvla4+Lu0mFCq6G5bJlX8PCwpL4+L8UyzJ37ly2bt3KzJkzGTt2LKtXryYpKYmtW7eybds21q5dS506jwqlKlWqsHnzZnbs2MHatWtJTU2lV69e5OTkKJbxSTIdI4rF5/0H4+ZWGSsrKyIjf2bUqKGsXPkDrq5urFoZjqurG7dvxzI1eCJz54UyetQEVfLciY/j0KFoxo6ZyITxk/k1ag+jxwxj3dotik07FJWlYkVnvJu/S7/+fQA9Wm0JQkPnYWZmpkiOZ+Vxdq5k6PPTT9tp4d0SOzs7VbJYWVmxecsGVixfo+j2Hxcevgwfn/Y4OpYrsM7JqTyrVu/g/v0Udkdup2JF5a9NAfDrHEinjn25fuMCVy6fwdLSCp0unYif19C3z0SjZICn7xu12dhZk/ZAl68t7UEmtvZWRtn+L7/8wL8avEupUvk/POgyM7Cxsc/XZmNj98IjISkpKaSkpBRod3BwwMHBodDHeHp6Ym9vz6FDh3BxcTFM79rb22Nvb1/oY7RaLZMmTaJVq1b8/vvveHt7v1DOlyVFiIrCwsLQ6XTP7mhkQUEvPmdZq9aj6rpdO192RUZw4MAfdOvW3fDJ/vXXKzLg8yGMGDlE8SKkqDwajQ0VKryOr29nAFq1fI9Vq5Zx6vRJmjX1NmoWa40123dsYc3363F2rsShQwcYOXIIK1f8gJOTchc9Pu1YAeh0GezZE8mXIV8pluFZWY4fP0Jv/wC0WuNcxHf16kVOnzrKzFlLn9qvRAkHmnu/x8gRfVi0+EcsjDAVYm5ugbtbTY4f/43o6J9JTLxD/XrNKVOmvOLbhuffN2rJSMvE1t46X5utvTXpqVmKb/uvv65y8dIphgyeXWCdxtqGDF1avraMjDQ0GtsX2saqVasICwsr0D5w4EAGDRpU6GOio6PR6XQEBAQwdOhQDh48SL169WjWrBktW7YscltWVlbUrFmTixcvShHyT6DT6V7qDf/vwMzMDD36wtv1BduNladqlWr88cdeo2+/sCyXLl7Aq0kzXFweDtk2atQEx7KOnD5zEp8WRf+hUCpPnqioPTg4OFC/fgOjZXgyy5Gjhzh56gTzF3xjWBcQ2IuhQ0bSunXbYt/u2ZgTxMffpn//DwDIyEgnNzeHWyOvFXjzzc3NITk5kbS0NEqUKPyTqBJyc3K4e/c2V67GkJx8lwPRDy/2Tk1NYc1/QvFu3hlv7y7Fvt0X2TdqiL2ehIWlOa+5lOT2jYfXM7h6OBrlotTLV86QmHiHGSGBAGRmZpCbm0vc3CA8qtcjNvaaoe/du7fJycnGyen1F9pGz5498fMreOF2YaMggwcPRqPRoNVqmTdvHg0aNGD37t0cPnyYo0ePMnXqVPbu3cuUKVOK3J6x/z5LESJe2f3794k5e5p6b76FhYUFu3f/wokTxxgyeATHjh3h9dcrUr78a9y5E8e3386jadPmquUpXbo0YfO/ZufObbz3Xjt+2/sr8fF3qFtHma83Pi2L1l7LqtXL6Nq1O6+/XpHDhw9y4+YNKleuokiWZ+XJs/On7bRt00HxaaGnZWnZ8j30ubmGvr4dWzPzyzlUq6bM9SEtW/nyThMfw/K2rWu5E3+bzz4bzsHovThXcqNCBWfu309h1cr5uLtXU7QAefAgiUuXz1CzxltYWVlz8dIpTpzcx0fdh/Huux+Qm5tt6DsvbBQd2vvj4aHMV7uftm8AMjN15P7/Y5WVlUVmpg5ra40iWQqjS8/mUORlug1oxOLJu3H1cKJBC3cm9vhR8W03fLs1b77hZVj+be8WEhPv4Nc5kAepySxYMJarV89SsWJldu0Kp1athi88EvK0aZcnzZ07l+rV879GNBoNXl5eeHl54e3tjb+/f5FFSFZWFufOneOjj4xzzRNIESKKQXZ2NosXL+DG9WuYW5jj6uJGyIyvcHV1Y/+BfUz+Yjz379+nZMmSNGvqTWDgQNXyAHwZ8jWzQ0MI/SoEVxc3vgz5SrHrQZ6WxcXFlT//vMXAQQHcT0nBqVw5Ro0ah5uruyJZnpUHID7+DseOHWbkiDGKZXjeLE8qVaoUGo1NoetelUZjk++5bWxssbaypmTJUty7F8+q1fNJSU7CxtaOWp5vMnJUsCI5HjEjOjqCTZsWotfrKV3KCV/f3tSq9XaBnuZm5tja2r/wm9vzetq+Afjk49aGdUOH9ABg/Y+/KZKlKMuCo+g3tSWLovryIDmDZcFRRhkJsbbW5Cu4NNY2WFlao9WWRKstiZ9fID+EzyEt7T7VqtalWzdl//Y96ciRI7i5ueHo+HBKPCYmBmdn50L7pqam8uWXX1K6dGm8vLwK7aMEM70aY+P/Y0JDQ19qWuVlH2csdxNS1Y4AQFnHhxdSmUIeyVI0U8qTl+XU6dvP6Gkcdeu8BsDmTTEqJ4HOfrUA09s33evMUzkJhJ9+eI2FKRwneHSsnoePjw8LFy7MNxKyefNmVq5cSVZWFubm5pQtW5axY8fi4eHBwYMHCQgIwM3NjezsbPR6PV5eXgwYMICSJUsq8b9TKBkJEUIIIf7m9uzZU6Ctc+fOdO7cudD+DRs25OTJk0rHeib5nRAhhBBCqEKKECGEEEKoQooQIYQQQqhCihAhhBBCqEKKECGEEEKoQooQIYQQQqhCihAhhBBCqEKKECGEEEKoQooQIYQQQqhCihAhhBBCqEKKECGEEEKoQu4dI4qUdxMwU2FKeSRL0UwpT97N0UzFi9yQTGmmtm/ybh5nCkzpOP2vkyKkGGg0GkJDQ1/4cTdv3lQgjRBCCPH3IEVIMRg4cOBLPe5lChdjMoVbsoNp3iJeshRkSnlMKQs8ynPq9G2VkzwaATG1fbN5U4zKSR6NgHSvM0/lJA+Z0uiQUuSaECGEEEKoQooQIYQQQqhCihAhhBBCqEKKECGEEEKoQooQIYQQQqhCihAhhBBCqEKKECGEEEKoQooQIYQQQqhCihAhhBBCqEKKECGEEEKoQn62XRSLAQM/IybmNBYWFgA4OZYjPHwTq1YtY/V3yw39cnJyycrKZMf2SEqVKm3ULADr14cTvvZ7kpOTcankwpAhI3jjjXqK5HjcrsifWb58EXFxtylTxpEJ4yfz5pv1OXLkILNDvyQu7ja1PGszfsJkKrz2+j8qj6lkKeq8SUiIZ+bMaZw7d5aEuwls+HE7FSoof4zyxMbeImi4P40aNWfwkAls3PAdGzetMazPzc0hOyuLpcs24+BQSpEMRe2bP/b/znffreDKlUtYW2to0qQZgwcNx97eODcxTEj4i6/nDKNO7cZ07z4UgOMn9hIR8T2pqfepVu0NunUdgJ1dCaPkAbB30BA45V3qNnbhflI64d8c4I+dF4y2/b8bKUJEsRk+bDQdO/rla+vZsw89e/YxLC9dtpATJ44pVoA8LUtMzGm+XTiXBfOX4uFRk02bf2TsuCC2bd1l+OOqhEOHolmw4BumTgnB07M2d+8mAJCUlMjYcSMZO+b/aNKkGUuWLGDi/41hyZLVimUxtTymlAUKP2/Mzc1p2Ogdevzbn8BAf0W3X5ilS76mShUPw3KX93vQ5f0ehuV1a1dw9r8nFStA8hS2b1IfPKBXzz68+WZ9MjOzmPzFOObPn8OoUeMVzZJn85YlODtXNSzfjrvBxo0L8e81nooVK7Nx40I2bV7MJx8HGSUPQO/x3uRk5RLovQy3Go6Mnu/L9fMJ3Lp8T9Ht+vj4YG1tjbW1Nbm5ufTv359WrVoxffp0Dh8+jLm5OXq9nsDAQHx9fRXN8iJkOkYYjV6vJyJiJ+3aqvMCiI39C3f3KtSo4YmZmRlt23QgKSmJxERl/zgsXbaQ3v4B1K5dF3Nzc5ycyuHkVI6o3/bg7l4ZH59WaDQa+vTpx8VLF7l2/eo/Jo8pZSlKmTJleb/LB9SsYfzbu/+xbzf29lrq1Hmr0PV6vZ69e3/B27uNkZM91Lp1Wxo1aoKNjS0ODg509PXj1OmTRtn2iZP7sLGxp2qVOo/aju/Fs+a/qFy5FhqNLa1bf0RMzEF0unSjZNLYWtKwVRXWhUWjS8/i/PFYjkZdpalvDaNsf+7cuWzdupWZM2cyduxYVq9eTVJSElu3bmXbtm2sXbuWOnXqPPuJjEiKEFFsFi6aR9t2PgT28+fYsSMF1p84eYzExLt4e7+rSpbGjZuQm5tDTMxpcnJy2L59C9WqeVC2rKNiOXJycjh37iyJSYl0+6AjnTq3ITQ0BJ0ug6tXr1CtanVDX1tbWypWdObqlSv/iDymlCXPs85hY0pLS2Xt2uX8u+eAIvv897+nSEpOpGHDZorneZ59c+LEMdzdKyueJSMjjV27fqBD+1752uPiblKhgqthuWzZ17CwsCQ+/i/FMwFUcC1Fbo6e2OtJhrbr5xNwrlLGKNvP4+npib29PYcOHcLR0dEw0mtvb4+bm5tRszyLTMeIYvF5/8G4uVXGysqKyMifGTVqKCtX/oCzcyVDn59+2k4L75bY2dmpkqViRWe8m79Lv/59AD1abQlCQ+dhZmamWJZ79+6RnZ1N1K+RfLtgGZaWloweM5wVK5eSnp5WYFpKq9WSlqbcLdZNKY8pZYHnO4eNKTx8GT4+7XF0LFdkn6ioCBo1ao6trTqvqcf3zaFD0fwUsZ0li5WdMgP45Zcf+FeDdylVKv8HCF1mBjY2+a9HsbGxM9pIiI2dNWkPdPna0h5kYmtv9dLPmZKSQkpKSoF2BwcHHBwcCn1MdHQ0Op2OgIAAhg4dysGDB6lXrx7NmjWjZcuWL51FCVKEqEij0RAaGqp2jAKCgl58/rRWrUdDfO3a+bIrMoIDB/6gW7fuAOh0GezZE8mXIV8VW84XzWKtsWb7ji2s+X49zs6VOHToACNHDmHlih9wcnJSJItGowGga9fuODo+3Eb3Dz9l5aqlvPlmfVJT87+ppqamYmen3EV9ppTHlLLAs89hY7p69SKnTx1l5nWnZHoAAA9pSURBVKylRfbR6XREH4hi1Ohpiud51r45c+YUk78Yx7Tgmbi4uBb1NMXir7+ucvHSKYYMnl1gncbahgxdWr62jIw0NBpbRTMZtpWWia29db42W3tr0lOzXvo5V61aRVhYWIH2gQMHMmjQoHxtgwcPRqPRoNVqmTdvHg0aNGD37t0cPnyYo0ePMnXqVPbu3cuUKVNeOk9xkyJERQMHDlQ7gmLMzMzQozcsR0XtwcHBgfr1G6iW5dLFC3g1aWb4I9moURMcyzpy+sxJfFoo8+nAwcGBcuXKFzra4u5emZ9+2m5YTk9P588/b+FeWbnhbFPKY0pZCvPkOWxMZ2NOEB9/m/79PwAgIyOd3Nwcbo28ZihMDh3ci1brQK1ayn+760mP75vzF84xavQwxo2dRIMGDRXf9uUrZ0hMvMOMkEAAMjMzyM3NJW5uEB7V6xEbe83Q9+7d2+TkZOPkZJxvM8VeT8LC0pzXXEpy+0YyAK4ejq90UWrPnj3x8/Mr0F7YKMjcuXOpXr16vjaNRoOXlxdeXl54e3vj7+9vUkWIXBMiXtn9+/eJPrgfnU5HdnY2P/+8kxMnjtHw7caGPjt/2k7bNh0Unfp4VpaaNWux/8A+/vzzFnq9nkOHorlx8waVK1dRNFP7dh1Z/2M49xLvkZKSwrp1a2jyTlOaN/PhypXL/PrrbnQ6HctXLKZqlaq4ubr/Y/KYSpZnncM6nY6srIefZjMzM9HpdE97ulfWspUv88L+w6xZS5k1aymtW3Wkfv3GjJ/w6NN/VFQEzZq3VvU1dfnKJYYPH8jwYaPw8mquaI48Dd9uzehRCxg6JJShQ0Jp2LA1NWrUp0/vibxZrxn//e8Rrl49S2ZmBrt2hVOrVkOjjYTo0rM5FHmZbgMaobG1pPqbFWjQwp3ft5176ed0cHDA2dm5wL+ipmIed+TIERISEgzLMTExODs7v3QWJchIiHhl2dnZLF68gBvXr2FuYY6rixshM77C1dUNgPj4Oxw7dpiRI8aomsXFxZU//7zFwEEB3E9JwalcOUaNGqf4m76/f1+SkpPo3r0z1tYafHxa0bNnHzQaDdOnzSL0qy/5YsoEatWqzZQpIYpmMbU8ppLlWedwC59HBfVHH3cBYP8fxxTLo9HYoNHYGJZtbGyxtrKmZMmHX8O9ezeeM2eO0/ezYYplyPO0fRM8bRJJSYnMCJnCjJCHn65fK1+BNWt+VCyPtbUGa2uNYVljbYOVpTVabUm02pL4+QXyQ/gc0tLuU61qXbp1M+6I87LgKPpNbcmiqL48SM5gWXCU4l/PLcqtW7cIDg4mKysLc3NzypYty6xZs1TJUhQzvV6vznijMHl3E5S7CPBFlHV8eB2AKeSRLEUzpTymlAUe5Tl1+rbKSaBundcA09s3mzfFqJwEOvs9/Bp29zrzVE7yUPjpQc/u9Dcn0zFCCCGEUIUUIUIIIYRQhRQhQgghhFCFFCFCCCGEUIUUIUIIIYRQhRQhQgghhFCFFCFCCCGEUIUUIUIIIYRQhRQhQgghhFCFFCFCCCGEUIUUIUIIIYRQhdw7RgghhBCqkJEQoZiUlBTmzZtHSkqK2lFMKguYVh5TygKmlceUsoBp5TGlLGBaeUwpi6mTIkQoJiUlhbCwMJN4IZpSFjCtPKaUBUwrjyllAdPKY0pZwLTymFIWUydFiBBCCCFUIUWIEEIIIVQhRYgQQgghVCFFiBBCCCFUYTF58uTJaocQ/7s0Gg0NGzZEo9GoHcWksoBp5TGlLGBaeUwpC5hWHlPKAqaVx5SymDL5nRAhhBBCqEKmY4QQQgihCilChBBCCKEKS7UDiL8nHx8frK2tsba2Jjc3l/79+9O+fXuuXr3K7NmzOXfuHLa2ttjZ2REQEEDLli0ZM2YM+/fvp3Tp0mRkZNCqVStGjBihWB5HR0cCAgJwc3Mz9PPw8CAoKIg2bdrw22+/4eDgYFgXHR3NhAkT2LVrF2ZmZsWS6/FsGo0GnU5HgwYNmDRpEtu2bWP69OlUrFjR0Ldp06avtE98fHxYuHAh1atXz9d+5MgRVq9ezdy5c/Hw8ODYsWPY29vTo0cPevfuTYsWLcjJyWH8+PHEx8cTFhbG0qVLCQsLY9GiRXh7ewOQmpqKl5cX7u7ubNy48aX3xZPnDcCaNWuYMmUKmzdvpmbNmobH9OjRg0uXLhEZGYm9vb2hLS+3EvL24/Lly6lduzaffvrpKz1fVlYWCxYsYOfOnVhaWpKbm0vz5s1p2rQpn3/+Oe7u7mRlZQHg5eXF559/TsmSJYGH52VoaCiZmZlkZmbi5OTEypUrMTcv+BmyR48e/PXXX2i1WnQ6HR999BE9e/bk1q1btG7dmmrVqpGbm4udnR2TJ0/Ot59fNn9oaGi+c+HChQv069ePPXv2vNI+e1xh502rVq2YPn06hw8fxtzcHL1eT2BgIL6+vhw8eJCAgICn7le1son8pAgRL23u3LlUr16ds2fP0r17d+rXr8+nn37KyJEjmT9/PgB37txh//79hscEBATw6aefcv/+fTp16kS9evV49913Fckzc+ZMqlSpUuibZYMGDdixYwcfffSRoW3Tpk106dKlWAuQJ7Pl5OTwySefsGvXLgDeeecd5s6dW+zbe9Lu3bufup8zMzMJCgrCzMyMb7/9FmtrawA8PT3ZtGmToQiJiIjA3d39lbI8eZwaN25MmTJl2LBhA40aNWLDhg1MmDAh32NsbW1ZsWIFAwcOfKVtq2Xs2LHodDo2bNiAVqslKyuLjRs3kpmZme8cffDgASEhIfTq1Ysff/wRvV7P4MGDWb16NTVq1ADg7NmzTz1HJ0yYQIsWLYiNjaVDhw40bNgQrVZLiRIl2LJlCwCrVq1i3LhxbNq06ZXzG8uT501sbCxJSUls3boVCwsLUlNTiY+PN/R/2n61sLBQNZt4RKZjxCvz9PTE3t6eSZMm0bBhQzp37mxYV65cuXzLeUqUKEGdOnW4evWqYnlu3bpVZJ/3338/X3Hy4MEDdu3ahZ+fX7HneZxOp0On0+UbgTGGqKgomjdvXui69PR0+vXrh1ar5euvvzYUIAANGzbk/PnzJCcnA7B582a6dOlSLJkeP07nz58nMTGR6dOns3379gJvbgEBAfznP//h3r17xbJtY7p27RqRkZEEBwej1WoBsLKy4sMPP8TOzi5fX61Wy6RJk0hMTOT3338nNTWVtLQ0HB0dDX08PT2fq1CuUKEC7u7uhb7GmjRp8tyvvRfJbwx5582hQ4dwdHQ0FBT29vb5Rj0f9+R+NaVs/3RShIhXFh0djU6nQ6/XU7du3ed6TFxcHMeOHcPT01OxPG5ubly+fJlOnToZ/oWFhQEPh1Bv3rzJpUuXAPjpp5+oV68eFSpUKPY8AIMHD6ZTp040adIEZ2dnvLy8ANi/f3++fOvXry/2bV+8eBEnJydKlSpV6PovvvgCJycnpk+fXuATopmZGW3btmXHjh3cvHmT9PR0qlWrViy5Hj9OP/74I507d6ZixYrUrFmTyMjIfH3Lly9Pp06dWLhwYbFs25jOnj2Lq6vrc08DWFlZUbNmTS5evEjJkiX54IMPaN26Nf369WPx4sXExsY+1/NcunSJK1eu4OHhUWBdRETEc0/FPCv/k6+xwYMHP9fzvqy88yYgIICIiAh8fX2ZOHFigXPmSY/vV1PL9k8m0zHipQ0ePBiNRoNWq2XevHmsWLHimY9ZvHgx69evx8LCgr59+/LOO+8olsfS0rLI6Rhra2t8fX3ZsGEDo0ePZuPGjfTo0aPYsjwpb7hWp9MxaNAgVq5ciYODg1GmY541FdO0aVP279/P5cuXqVq1aoH1Xbp0YcSIESQkJBQ6qvWinjxONjY2bN++nbVr1wLg5+fHhg0baNeuXb7HBQYG0q5dO3r16vXKGUzd47+cMHHiRPz9/YmOjmbv3r0sWrSIDRs2FPnJOjg4mDlz5qDRaJgyZQqVK1fm1q1bhilQvV5PpUqVCAkJKZasT77G8q4JKW5PnjcNGjRg9+7dHD58mKNHjzJ16lT27t3LlClTinwOpX6Rojiy/VNJESJeWt4ba55Dhw5x+vTppz4m75oQY+Q5ePDgU/t37dqV3r1707VrV65cuULLli0VyfU4jUaDt7c3UVFRtGnTRvHtwcMi5Kuvvipyffv27WnatCn+/v6sWLGiQCFSqVIlrKysWLduHdu2bePChQuvlOfJ4xQREcGDBw8MxUVubi4JCQnExsbmG5kqVaoUn376KfPmzXul7Rubp6cn169fJzk5+blGQ7Kysjh37ly+65UqVapEpUqV6NatG3379uXXX3+latWqzJ49GwBfX1/69u0LPLom5EmPXxOiZH6lPHnewMPXk5eXF15eXnh7e+Pv71/kG31h+9VUsv2TyXSMKDYff/wxBw4cYNu2bYa2uLg41q1bp2Kqonl4eFC+fHlGjRqFr69vvmshlJKbm8vhw4eNNj8cFxdHZmYmlSpVemq/Tp06ERQURK9evQxTVI8LCgpi5MiRlC5dutgzbtiwgYkTJ7Jnzx727NlDVFQUXbp0KfSiyV69erFv3z5u3LhR7DmU4ubmho+PDxMnTuTBgwcA5OTksGrVKtLS0vL1TU1NZerUqZQuXRovLy9SU1PZt2+f4RN8SkoKt27dwtnZmaZNm7Jlyxa2bNliKEDUzm9MR44cISEhwbAcExODs7NzoX2f3K+mlO2fTkZCRLEpX7483333HbNnz2bOnDnY2dlhZ2fHZ599plqmvPnqPOXKlWPJkiWG5a5du/LFF18QHBysaI684dqsrCyqVavGgAED2L17t+GakDy1a9dm2rRpr7Qtf39/w7UdOp2ODh06GNZlZ2djZmaGlZVVgcflTbX06tWLlStX5ltXr1496tWr90q5ChMXF8fhw4cJDQ3N1+7r68vYsWPp379/vnY7OzsCAwOZOnVqsWcpyjfffMPixYsNy1OnTi3yIt+ihISEMH/+fN5//32srKwMX3GtWrWq4RzNzs5Gr9fj5eXFypUrsbCwQK/Xs2bNGqZOnYpGoyEnJwdfX19atWpV3P+bL51fLbdu3SI4OJisrCzMzc0pW7Yss2bNMqx/2n5VO5t4RH62XYj/YX369GHYsGHUrl0bgFOnTjF06NBi/Q0HIYR4WVKECPEPMWvWLH799VdGjBiBj4+P2nGEEEKKECGEEEKoQy5MFUIIIYQqpAgRQgghhCqkCBFCCCGEKqQIEUIIIYQqpAgRQgghhCqkCBFCCCGEKv4f7izgJXN/5OwAAAAASUVORK5CYII=\n", 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\n", 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" }, "metadata": {}, "output_type": "display_data" } ], "source": "votes_ini_hm = ini_df[['BE', 'PCP', 'PEV', 'L/JKM', 'PS', 'PAN','PSD','IL','CDS-PP', 'CH']]\nvotes_ini_hmn = votes_ini_hm.replace([\"A Favor\", \"Contra\", \"Absten\u00e7\u00e3o\", \"Aus\u00eancia\"], [1,-1,0,0]).fillna(0)\n\nvotes_act_hm = act_df[['BE', 'PCP', 'PEV', 'L/JKM', 'PS', 'PAN','PSD','IL','CDS-PP', 'CH']]\nvotes_act_hmn = votes_act_hm.replace([\"A Favor\", \"Contra\", \"Absten\u00e7\u00e3o\", \"Aus\u00eancia\"], [1,-1,0,0]).fillna(0)\n\n## Transpose the dataframe used for the heatmap\nvotes_ini_t = votes_ini_hmn.transpose()\nvotes_act_t = votes_act_hmn.transpose()\n\n## Determine the Eucledian pairwise distance\n## (\"euclidean\" is actually the default option)\npwdist_ini = pdist(votes_ini_t, metric='euclidean')\npwdist_act = pdist(votes_act_t, metric='euclidean')\n\n## Create the distance matrix\ndistmat_ini = pd.DataFrame(\n squareform(pwdist_ini), # pass a symmetric distance matrix\n columns = votes_ini_t.index,\n index = votes_ini_t.index\n)\n\ndistmat_act = pd.DataFrame(\n squareform(pwdist_act), # pass a symmetric distance matrix\n columns = votes_act_t.index,\n index = votes_act_t.index\n)\n\n## Display the heatmap of the distance matrix\n\nfig = plt.figure(figsize=(8,8))\nax = fig.add_subplot()\n\n\n## Perform hierarchical linkage on the distance matrix using Ward's method.\ndistmat_ini_link = hc.linkage(pwdist_ini, method=\"ward\", optimal_ordering=True )\ndistmat_act_link = hc.linkage(pwdist_act, method=\"ward\", optimal_ordering=True )\n\nsns.clustermap(\n distmat_ini,\n annot = True,\n cmap=sns.color_palette(\"Purples_r\"),\n linewidth=1,\n #standard_scale=1,\n row_linkage=distmat_ini_link,\n col_linkage=distmat_ini_link,\n figsize=(8,8)).fig.suptitle('Portuguese Parliament 14th Legislature, Clustermap (Initiatives Only)')\n\nsns.clustermap(\n distmat_act,\n annot = True,\n cmap=sns.color_palette(\"Blues_r\"),\n linewidth=1,\n #standard_scale=1,\n row_linkage=distmat_act_link,\n col_linkage=distmat_act_link,\n figsize=(8,8)).fig.suptitle('Portuguese Parliament 14th Legislature, Clustermap (Activities Only)')\n\n\nplt.show()\n\n" }, { "cell_type": "markdown", "metadata": {}, "source": "Existem diferen\u00e7as, em particular na an\u00e1lise que apenas inclui as Atividades: em particular o PS aparence agora agrupado \"\u00e0 esquerda\" (separando-se antes do PAN, sendo o restante semelhante), e isto implica a rearruma\u00e7\u00e3o \"\u00e0 direita\", com a cria\u00e7\u00e3o de dois grupos (CDS-PP e CH, PSD e IL).\n\nEstas diferen\u00e7as podem tamb\u00e9m ser vistas no MDS de cada tipo de vota\u00e7\u00e3o:" }, { "cell_type": "code", "execution_count": 100, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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" }, "metadata": {}, "output_type": "display_data" } ], "source": "from sklearn.manifold import MDS\nimport numpy as np\nmds_act = MDS(n_components=2, dissimilarity='precomputed',random_state=2020, n_init=100, max_iter=1000)\nmds_ini = MDS(n_components=2, dissimilarity='precomputed',random_state=2020, n_init=100, max_iter=1000)\n\ndistmat_act_mm=((distmat_act-distmat_act.min().min())/(distmat_act.max().max()-distmat_act.min().min()))*1\ndistmat_ini_mm=((distmat_ini-distmat_ini.min().min())/(distmat_ini.max().max()-distmat_ini.min().min()))*1\n\n## We use the normalised distance matrix but results would\n## be similar with the original one, just with a different scale/axis\nresults_act = mds_act.fit(distmat_act_mm.values)\ncoords_act = results_act.embedding_\n\nresults_ini = mds_ini.fit(distmat_ini_mm.values)\ncoords_ini= results_ini.embedding_\n\n## Graphic options\nsns.set()\nsns.set_style(\"ticks\")\n\nfig, ax = plt.subplots(figsize=(8,8))\n\nplt.title('Portuguese Parliament Voting Records Analysis, 14th Legislature (Initiatives)', fontsize=14)\n\nfor label, x, y in zip(distmat_ini_mm.columns, coords_ini[:, 0], coords_ini[:, 1]):\n ax.scatter(x, y, s=250)\n ax.axis('equal')\n ax.annotate(label,xy = (x-0.02, y+0.025))\nplt.show()\n\nfig, ax = plt.subplots(figsize=(8,8))\n\nplt.title('Portuguese Parliament Voting Records Analysis, 14th Legislature (Activities)', fontsize=14)\n\nfor label, x, y in zip(distmat_act_mm.columns, coords_act[:, 0], coords_act[:, 1]):\n ax.scatter(x, y, s=250)\n ax.axis('equal')\n ax.annotate(label,xy = (x-0.02, y+0.025))\nplt.show()" }, { "cell_type": "markdown", "metadata": {}, "source": "Se o \"mapa\" das Iniciativas \u00e9 muito semelhante ao global, j\u00e1 o das Actividades apresenta diferen\u00e7as (como seria de esperar tendo em conta o mapa de dist\u00e2ncias e dendograma), e quando comparado com o global:\n\n- IL mais pr\u00f3xima do PSD do que dos restantes\n- PCP+PEV mais distante de BE/L(JKM)/PAN\n- PS mais distante de PSD e mais pr\u00f3ximo dos partidos \"\u00e0 esquerda\".\n" }, { "cell_type": "markdown", "metadata": {}, "source": "### Utiliza\u00e7\u00e3o apenas das vota\u00e7\u00f5es da deputada Cristina Rodrigues enquanto deputada n\u00e3o-inscrita\n\nSe reduzirmos a an\u00e1lise apenas \u00e0s vota\u00e7\u00f5es onde a deputada Cristina Rodrigues participou como deputda n\u00e3o inscrita temos o seguinte resultado, que n\u00e3o altera de forma substancial o que j\u00e1 foi apresentado:" }, { "cell_type": "code", "execution_count": 101, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" }, "metadata": {}, "output_type": "display_data" } ], "source": "cr_only_votes_hm = votes[['BE', 'PCP', 'PEV', 'L/JKM', 'PS', 'PAN',\"Cristina Rodrigues (Ninsc)\",'PSD','IL','CDS-PP', 'CH']]\ncr_only_votes_hmn = cr_only_votes_hm.replace([\"A Favor\", \"Contra\", \"Absten\u00e7\u00e3o\", \"Aus\u00eancia\"], [1,-1,0,0]).dropna()\n\n## Transpose the dataframe used for the heatmap\ncr_only_votes_t = cr_only_votes_hmn.transpose()\n\n## Determine the Eucledian pairwise distance\n## (\"euclidean\" is actually the default option)\ncr_only_pwdist = pdist(cr_only_votes_t, metric='euclidean')\n\n## Create a square dataframe with the pairwise distances:\n## the distance matrix\ncr_only_distmat = pd.DataFrame(\n squareform(cr_only_pwdist), # pass a symmetric distance matrix\n columns = cr_only_votes_t.index,\n index = cr_only_votes_t.index\n)\ncr_only_distmat_link = hc.linkage(cr_only_pwdist, method=\"ward\", optimal_ordering=True )\n\n## Normalise\ncr_only_distmat_mm=((cr_only_distmat-cr_only_distmat.min().min())/(cr_only_distmat.max().max()-cr_only_distmat.min().min()))*1\n\n\n## SC\n\ncr_only_affinmat_mm = pd.DataFrame(1-cr_only_distmat_mm, cr_only_distmat.index, cr_only_distmat.columns)\ncr_only_sc = SpectralClustering(5, affinity=\"precomputed\",random_state=2020).fit_predict(cr_only_affinmat_mm)\ncr_only_sc_dict = dict(zip(cr_only_distmat,cr_only_sc))\ncr_only_sc_dict \n\n## MDS\ncr_only_mds = MDS(n_components=2, dissimilarity='precomputed',random_state=2020, n_init=100, max_iter=1000)\ncr_only_results = mds.fit(cr_only_distmat_mm.values)\ncr_only_coords = cr_only_results.embedding_\n\n## Plot it\nsns.set()\nsns.set_style(\"ticks\")\n\nfig, ax = plt.subplots(figsize=(6,6))\n\nfig.suptitle('Portuguese Parliament Voting Records Analysis, 14th Legislature', fontsize=14)\nax.set_title('MDS with Spectrum Clustering clusters, inc. Cristina Rodrigues (2D)')\n\nfor label, x, y in zip(cr_only_distmat_mm.columns, cr_only_coords[:, 0], cr_only_coords[:, 1]):\n ax.scatter(x, y, c = \"C\"+str(cr_only_sc_dict[label]), s=100)\n #ax.scatter(x, y, s=100)\n ax.axis('equal')\n if label==\"PAN/CR\":\n ax.annotate(label,xy = (x-0.10, y+0.020))\n else:\n ax.annotate(label,xy = (x-0.02, y+0.020))\n\nplt.show()" }, { "cell_type": "markdown", "metadata": {}, "source": "... e a respectiva matriz de dist\u00e2ncia:" }, { "cell_type": "code", "execution_count": 102, "metadata": {}, "outputs": [ { "data": { "image/png": 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Enquanto o Livre perdeu a sua representa\u00e7\u00e3o parlamentar, o PAN continua com tr\u00eas deputados.", "accessed": { "date-parts": [ [ 2020, 8, 23 ] ] }, "author": [ { "family": "Lusa", "given": "" } ], "container-title": "P\u00daBLICO", "language": "pt", "title": "Quadro de tempos e vota\u00e7\u00f5es da AR j\u00e1 distingue as duas deputadas n\u00e3o-inscritas", "type": "webpage" }, "1084038/VE79JPSR": { "author": [ { "family": "Figueiredo Filho", "given": "Dalson Britto" }, { "family": "da Rocha", "given": "Enivaldo Carvalho" }, { "family": "da Silva J\u00fanior", "given": "Jos\u00e9 Alexandre" }, { "family": "Paranhos", "given": "Ranulfo" }, { "family": "da Silva", "given": "Mariana Batista" }, { "family": "Duarte", "given": "B\u00e1rbara Sofia F\u00e9lix" } ], "container-title": "Applied Mathematics", "id": "1084038/VE79JPSR", "issued": { "year": 2014 }, "note": "ISBN: 2152-7393\nPublisher: Scientific Research Publishing", "title": "Cluster analysis for political scientists", "type": "article-journal", "volume": "2014" }, "1084038/VHQVIPYJ": { "URL": "https://dataplatform.cloud.ibm.com/home2?context=cpdaas", "accessed": { "day": 20, "month": 9, "year": 2020 }, "id": "1084038/VHQVIPYJ", "title": "IBM Cloud Pak for Data", "type": "article" }, "1084038/VMMSZY72": { "author": [ { "family": "Pinto", "given": "Alba Milagro" } ], "container-title": "Brocar: Cuadernos de investigaci\u00f3n hist\u00f3rica", "id": "1084038/VMMSZY72", "issue": "33", "issued": { "year": 2009 }, "note": "ISBN: 1885-8309\nPublisher: Universidad de La Rioja", "page": "195-224", "page-first": "195", "title": "Ortega y Gasset y la cr\u00edtica de la raz\u00f3n cient\u00edfica", "type": "article-journal" }, "1084038/W4VE9F5F": { "URL": "https://www.jstor.org/stable/3694286", "abstract": "We investigate the dimensionality of politics in the European Parliament by applying a scaling method to all roll-call votes between 1979 and 2001 in the European Parliament. Contrary to most existing studies using these methods, we are able to interpret the substantive content of the observed dimensions using exogenous measures of national party policy positions. We find that the main dimension of politics in the European Union's only elected institution is the classic left-right dimension found in domestic politics. 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Telmo Correia argumenta que Andr\u00e9 Ventura \"pode cansar-se e dizer 'olhe, basta, chega'\" aos deputados do CDS.", "accessed": { "day": 17, "month": 8, "year": 2020 }, "author": [ { "family": "Almeida", "given": "Joana" } ], "container-title": "O Jornal Econ\u00f3mico", "id": "1084038/Z5UKFKL2", "issued": { "day": 23, "month": 10, "year": 2019 }, "language": "pt-PT", "note": "Section: Pol\u00edtica", "shortTitle": "CDS explica contesta\u00e7\u00e3o ao lugar do Chega no Parlamento", "title": "CDS explica contesta\u00e7\u00e3o ao lugar do Chega no Parlamento: \"Andr\u00e9 Ventura pode cansar-se e dizer 'olhe, basta, chega'\"", "title-short": "CDS explica contesta\u00e7\u00e3o ao lugar do Chega no Parlamento", "type": "webpage" }, "1084038/ZF7SWZB7": { "URL": "https://www.publico.pt/1999/10/26/jornal/guerra-de-lugares-125525", "abstract": "O Bloco de Esquerda conseguiu marcar a agenda parlamentar assim que a Assembleia da Rep\u00fablica tomou posse - ou melhor, enquanto a AR tomava posse. Ontem, os seus dois deputados - Francisco Lou\u00e7\u00e3 e Lu\u00eds Fazenda - estiveram toda a sess\u00e3o da manh\u00e3 em p", "accessed": { "day": 17, "month": 8, "year": 2020 }, "author": [ { "family": "Louren\u00e7o", "given": "Eunice" } ], "container-title": "P\u00daBLICO", "id": "1084038/ZF7SWZB7", "language": "pt", "title": "Guerra de lugares", "type": "webpage" } } }, "kernelspec": { "display_name": "Python 3.6", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.9" } }, "nbformat": 4, "nbformat_minor": 1 }