tag:blogger.com,1999:blog-31054878448973208302024-03-12T20:28:01.676-07:00A importância da matemática no dia-a-diacidade queridahttp://www.blogger.com/profile/14585015296806276916noreply@blogger.comBlogger8125tag:blogger.com,1999:blog-3105487844897320830.post-84675789575087975212011-11-04T03:21:00.000-07:002011-11-04T03:46:10.744-07:00BIOGRAFIA DE GAUUS<!--[if gte mso 9]><xml> <o:officedocumentsettings> <o:relyonvml/> <o:allowpng/> </o:OfficeDocumentSettings> </xml><![endif]--><!--[if gte mso 9]><xml> <w:worddocument> <w:view>Normal</w:View> <w:zoom>0</w:Zoom> <w:trackmoves/> <w:trackformatting/> <w:hyphenationzone>21</w:HyphenationZone> <w:punctuationkerning/> <w:validateagainstschemas/> <w:saveifxmlinvalid>false</w:SaveIfXMLInvalid> <w:ignoremixedcontent>false</w:IgnoreMixedContent> <w:alwaysshowplaceholdertext>false</w:AlwaysShowPlaceholderText> <w:donotpromoteqf/> <w:lidthemeother>PT-BR</w:LidThemeOther> <w:lidthemeasian>X-NONE</w:LidThemeAsian> 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{mso-style-name:"Tabela normal"; mso-tstyle-rowband-size:0; mso-tstyle-colband-size:0; mso-style-noshow:yes; mso-style-priority:99; mso-style-parent:""; mso-padding-alt:0cm 5.4pt 0cm 5.4pt; mso-para-margin-top:0cm; mso-para-margin-right:0cm; mso-para-margin-bottom:10.0pt; mso-para-margin-left:0cm; line-height:115%; mso-pagination:widow-orphan; font-size:11.0pt; font-family:"Calibri","sans-serif"; mso-ascii-font-family:Calibri; mso-ascii-theme-font:minor-latin; mso-hansi-font-family:Calibri; mso-hansi-theme-font:minor-latin; mso-bidi-font-family:"Times New Roman"; mso-bidi-theme-font:minor-bidi;} </style> <![endif]--><br /><div style="text-align: justify; color: rgb(255, 0, 0);"><span style="color: rgb(255, 204, 51); font-weight: bold;font-size:100%;" class="apple-style-span" ><span style="line-height:150%; Arial","sans-serif";background:white"><span class="blsp-spelling-error" id="SPELLING_ERROR_0">Johann</span> <span class="blsp-spelling-error" id="SPELLING_ERROR_1">Friedrich</span> Carl <span class="blsp-spelling-error" id="SPELLING_ERROR_2">Benz</span> Gauss, filho de <span class="blsp-spelling-error" id="SPELLING_ERROR_3">Gebhard</span> Gauss e</span></span><span style="color: rgb(255, 204, 51); font-weight: bold;font-size:100%;" class="apple-converted-space" ><span style="line-height:150%; Arial","sans-serif";background:white"> </span></span><span style="color: rgb(255, 204, 51); font-weight: bold;font-size:100%;" class="apple-style-span" ><span style="line-height:150%; Arial","sans-serif";background:white"><span class="blsp-spelling-error" id="SPELLING_ERROR_4">Dorotéia</span> Gauss, nasceu no dia 30 de <span class="blsp-spelling-error" id="SPELLING_ERROR_5">abril</span> de 1777 </span></span><span style="color: rgb(255, 204, 51); font-weight: bold;font-size:100%;" class="apple-style-span" ><span style="line-height:150%; Arial","sans-serif";">em <span class="blsp-spelling-error" id="SPELLING_ERROR_6">Brunswich</span>, na Alemanha</span></span><span style="color: rgb(255, 204, 51); font-weight: bold;font-size:100%;" class="apple-style-span" ><span style="line-height:150%; Arial","sans-serif";background:white"> e morreu no dia 23 de <span class="blsp-spelling-error" id="SPELLING_ERROR_7">fevereiro</span> de 1855 </span></span><span style="color: rgb(255, 204, 51); font-weight: bold;font-size:100%;" class="apple-style-span" ><span style="line-height:150%;Arial","sans-serif"; ">em <span class="blsp-spelling-error" id="SPELLING_ERROR_8">Göttingen</span>, também na Alemanha</span></span><span style="color: rgb(255, 204, 51); font-weight: bold;font-size:100%;" class="apple-style-span" ><span style="line-height:150%; Arial","sans-serif";background:white">. Contudo, era de família pobre sua mãe doméstica e analfabeta, seu pai trabalhava em várias <span class="blsp-spelling-error" id="SPELLING_ERROR_9">atividades</span> servis.</span></span><br /><span style="line-height: 150%; color: rgb(255, 204, 51); font-weight: bold;font-size:100%;" >Conhecido como o “príncipe dos matemáticos”, muitos o considera o maior <span class="blsp-spelling-error" id="SPELLING_ERROR_10">gênio</span> da história da matemática. Seu pai, <span class="blsp-spelling-error" id="SPELLING_ERROR_11">Gerhard</span> <span class="blsp-spelling-error" id="SPELLING_ERROR_12">Diederich</span>, era jardineiro e pedreiro. Severo e brutal, tudo fez para impedir que seu filho desenvolvesse seu grande potencial. Foi salvo por sua mãe <span class="blsp-spelling-error" id="SPELLING_ERROR_13">Dorothea</span> e seu tio <span class="blsp-spelling-error" id="SPELLING_ERROR_14">Friederich</span> que percebeu da <span class="blsp-spelling-error" id="SPELLING_ERROR_15">inteligência</span> de seu sobrinho.<span class="apple-style-span"><span style="background:white"> </span></span></span><br /><span style="line-height: 150%; color: rgb(255, 204, 51); font-weight: bold;font-size:100%;" ><span style="mso-spacerun:yes"> </span>Este <span class="blsp-spelling-error" id="SPELLING_ERROR_16">possuia</span> memória fotográfica, tendo retido as impressões da infância e da meninice nítidas até a sua morte. Ressentia-se de que seu tio <span class="blsp-spelling-error" id="SPELLING_ERROR_17">Friederich</span>, um <span class="blsp-spelling-error" id="SPELLING_ERROR_18">gênio</span>, perdera-se pela morte prematura.</span><br /><span style="color: rgb(255, 204, 51); font-weight: bold;font-size:100%;" >Antes disso já aprendera a ler e a somar sozinho</span><span style="color: rgb(255, 204, 51); font-weight: bold;font-size:100%;" >. </span><span style="color: rgb(255, 204, 51); font-weight: bold;font-size:100%;" class="apple-style-span" ><span style="Arial","sans-serif"; background:white">Carl Gauss entrou numa escola aos sete anos de idade, seu tio Johann e sua mãe o matricularam, contra a vontade de seu pai. Para tanto, desde os três anos ele já demonstrava ter grande habilidade com a matemática, os professores ficavam impressionados com sua facilidade de resolver cálculos mais complexos.</span></span><span style="color: rgb(255, 204, 51); font-weight: bold;font-size:100%;" > O professor pediu à turma que somasse todos os números de um até 100. Gauss rapidamente observou uma<span class="apple-converted-space"> </span><strong><span style="Arial","sans-serif"">série aritmética</span></strong>, e concluiu que o resultado era a soma de 50 pares de números que somam 101. Com este feito conquistou a simpatia do professor, e este o apresentou ao jovem professor Bartels , que ficou tão impressionado com a inteligência do garoto que pagou com seu dinheiro livros de aritmética . </span><br /><span style="color: rgb(255, 204, 51); font-weight: bold;font-size:100%;" >Posteriormente ambos ajudaram Gauss a ingressar na escola secundária em 1788.<span style="color: rgb(255, 204, 0);"> </span></span><span style="color: rgb(255, 204, 0); font-weight: bold;font-family:";font-size:100%;" >Aos doze anos Gauss já olhava com desconfiança para os fundamentos da </span><span style="color: rgb(255, 204, 0); font-weight: bold;font-size:100%;" ><a href="http://pt.wikipedia.org/wiki/Geometria_euclidiana" title="Geometria euclidiana"><span style="Arial","sans-serif"; mso-fareast-Times New Roman";mso-fareast-theme-font:minor-fareast; text-decoration:none;text-underline:nonefont-family:";" >geometria euclidiana</span></a></span><span style="color: rgb(255, 204, 0); font-weight: bold;font-family:";font-size:100%;" >; aos dezesseis já tinha tido seu primeiro vislumbre de uma geometria diferente da de </span><span style="color: rgb(255, 204, 0); font-weight: bold;font-size:100%;" ><a href="http://pt.wikipedia.org/wiki/Euclides" title="Euclides"><span style="Arial","sans-serif";mso-fareast-Times New Roman"; mso-fareast-theme-font:minor-fareast;text-decoration:none; text-underline:nonefont-family:";" >Euclides</span></a></span><span style="color: rgb(255, 204, 0); font-weight: bold;font-family:";font-size:100%;" >. Um ano mais tarde, começou uma busca crítica das provas, na </span><span style="color: rgb(255, 204, 0); font-weight: bold;font-size:100%;" ><a href="http://pt.wikipedia.org/wiki/Teoria_dos_n%C3%BAmeros" title="Teoria dos números"><span style="Arial","sans-serif"; mso-fareast-Times New Roman";mso-fareast-theme-font:minor-fareast; text-decoration:none;text-underline:nonefont-family:";" >teoria dos números</span></a></span><span style="color: rgb(255, 204, 0); font-weight: bold;font-family:";font-size:100%;" >, que tinham sido aceitas por seus antecessores e tomou a decisão de preencher os vazios e completar o que tinha sido feito pela metade. Aritmética, o campo de seus primeiros triunfos tornou-se seu estudo favorito e o campo de sua obra prima. Para que a prova fosse absolutamente certa, Gauss acrescentou uma fecunda e engenhosa matemática que nunca foi superada.</span><br /><span style="color: rgb(255, 204, 51); font-weight: bold;font-size:100%;" ><span style="mso-spacerun:yes"> </span></span><span style="color: rgb(255, 204, 51); font-weight: bold;font-size:100%;" class="apple-style-span" ><span style="Arial","sans-serif";background:white">Aos quatorze anos conseguiu um financiamento na sua educação cientifica, por Duque de Brunswick, que foi apresentado a Gauss por seus amigos. <span style="mso-spacerun:yes"> </span></span></span><span style="color: rgb(255, 204, 51); font-weight: bold;font-size:100%;" >Entretanto, através de Bartels, Gauss, entrou em contato com o Professor Zimmermann no Colégio Carolinum o qual mais tarde se tornou um Instituto Técnico. Este era conselheiro particular do Duque Ferdinand e viria a ser o intermediário entre Gauss e o seu benfeitor, o reinante Duque Carl Wilhelm Ferdinand, da casa de Braunschweig. </span><br /><span style="color: rgb(255, 204, 51); font-weight: bold;font-size:100%;" >Mais tarde, depois de formalizado o apoio dado pelo Duque, Gauss foi convocado para uma audiência pelo Tribunal Oficial na qual tudo correu bem. Sendo assim, o Duque comprometeu-se a fornecer os meios necessários para dar continuidade à preparação de uma pessoa tão dotada. Nesse porvir, o Duque tinha conquistado a confiança e a fidelidade do tímido jovem de 14 anos. Logo, com os problemas econômicos resolvidos, supostamente o pai de Gauss não tinha mais nada a dizer contra o fato do seu filho continuar a estudar.</span><br /><span style="color: rgb(255, 204, 51); font-weight: bold;font-size:100%;" >Com a idade de quinze anos fez um grande avanço em línguas clássicas estudando sozinho e com a ajuda de amigos mais velhos. Teve a oposição de seu pai, mas Dorothea Gauss venceu a resistência do marido e o Duque patrocinou dois anos de curso no Gymnasium. Ali ele assombrou a todos por sua maestria nos clássicos.</span><br /><span style="color: rgb(255, 204, 51); font-weight: bold;font-size:100%;" >Como continuava sob proteção do Duque, Gauss não necessitava de obter rendimentos e pôde dedicar-se completamente à investigação. Publicou, em 1801, a sua obra-prima em<span class="apple-converted-space"> </span><strong><span style="Arial","sans-serif"">teoria dos números</span></strong>, "<em><span style="Arial","sans-serif"">Disquisitiones Arithmeticae</span></em>", onde, entre outras coisas, introduziu a noção de congruência, e publicou a prova da<span class="apple-converted-space"> </span><strong><span style="Arial","sans-serif"">lei da reciprocidade quadrática</span></strong>. </span><br /><span style="color: rgb(255, 204, 51); font-weight: bold;font-size:100%;" ><span style="Arial","sans-serif";background:white">Apesar de </span></span><span style="color: rgb(255, 204, 51); font-weight: bold;font-size:100%;" >já ter descoberto o <strong><span style="Arial","sans-serif"">teorema binomial</span></strong>, a<span class="apple-converted-space"> </span><strong><span style="Arial","sans-serif"">lei da reciprocidade</span></strong><span class="apple-converted-space"> </span><strong><span style="Arial","sans-serif"">quadrática</span></strong>, e os<span class="apple-converted-space"> </span><strong><span style="Arial","sans-serif"">mínimos quadrados</span></strong>, estava indeciso entre as carreiras de filologia e<span class="apple-converted-space"> </span></span><span style="color: rgb(255, 204, 51); font-weight: bold;font-size:100%;" ><a href="http://www.e-escola.pt/canal.asp?nome=matematica"><span style="Arial","sans-serif";background:white">Matemática</span></a></span><span style="color: rgb(255, 204, 51); font-weight: bold;font-size:100%;" >. Foi à importante descoberta de como construir um polígono regular de 17 lados com régua e compasso que o fez, finalmente, decidir-se pela matemática. Após três anos extremamente prolíferos na universidade, altura em que começou a redigir um diário científico, doutorou-se em 1799 pela universidade de Helmstedt com uma dissertação, na qual demonstrou o teorema fundamental da Álgebra cujo título da tese é</span><span style="color: rgb(255, 204, 51); font-weight: bold;font-size:100%;" ><u><span style="Arial","sans-serif""> Demonstratio nova theorematis omnem functionem algebraicum rationalem integram unius variabilis in factores reales primi vel secundi gradus resolvi posse</span></u></span><span style="color: rgb(255, 204, 51); font-weight: bold;font-size:100%;" > (Uma nova demonstração de que todos os polinómios de uma variável podem ser fatorizados em fatores reais de primeiro e segundo grau).<span style="background:white"><span style="mso-spacerun:yes"> </span></span></span><br /><span style="color: rgb(255, 204, 51); font-weight: bold;font-size:100%;" >Seus últimos anos foram cheios de honrarias mas não da felicidade que ele teria merecido. Pela primeira vez em mais de vinte anos ele deixou </span><span style="color: rgb(255, 204, 51); font-weight: bold;font-size:100%;" ><a href="http://pt.wikipedia.org/wiki/G%C3%B6ttingen" title="Göttingen"><span style="Arial","sans-serif"; text-decoration:none;text-underline:none">Göttingen</span></a></span><span style="color: rgb(255, 204, 51); font-weight: bold;font-size:100%;" >, no dia </span><span style="color: rgb(255, 204, 51); font-weight: bold;font-size:100%;" ><a href="http://pt.wikipedia.org/wiki/16_de_Junho" title="16 de Junho"><span style="Arial","sans-serif";text-decoration:none; text-underline:none">16 de Junho</span></a></span><span style="color: rgb(255, 204, 51); font-weight: bold;font-size:100%;" > de </span><span style="color: rgb(255, 204, 51); font-weight: bold;font-size:100%;" ><a href="http://pt.wikipedia.org/wiki/1854" title="1854"><span style="Arial","sans-serif";text-decoration:none; text-underline:none">1854</span></a></span><span style="color: rgb(255, 204, 51); font-weight: bold;font-size:100%;" >, para ver a estrada de ferro que estava sendo construída entre sua cidade e </span><span style="color: rgb(255, 204, 51); font-weight: bold;font-size:100%;" ><a href="http://pt.wikipedia.org/wiki/Kassel" title="Kassel"><span style="Arial","sans-serif";text-decoration:none;text-underline:none">Kassel</span></a></span><span style="color: rgb(255, 204, 51); font-weight: bold;font-size:100%;" >. Gauss sempre tivera agudo interesse pela construção e operação de estradas de ferro; agora ele veria uma sendo construída.</span><br /><span style="color: rgb(255, 204, 51); font-weight: bold;font-size:100%;" >No caminho, os cavalos dispararam; ele foi atirado para fora da carruagem. Não ficou ferido mas muito chocado. Recuperando-se, ainda teve o prazer de assistir à abertura das cerimônias quando a estrada de ferro chegou a Göttingen em </span><span style="color: rgb(255, 204, 51); font-weight: bold;font-size:100%;" ><a href="http://pt.wikipedia.org/wiki/31_de_Julho" title="31 de Julho"><span style="Arial","sans-serif"; text-decoration:none;text-underline:none">31 de Julho</span></a></span><span style="color: rgb(255, 204, 51); font-weight: bold;font-size:100%;" > de </span><span style="color: rgb(255, 204, 51); font-weight: bold;font-size:100%;" ><a href="http://pt.wikipedia.org/wiki/1854" title="1854"><span style="Arial","sans-serif";text-decoration:none;text-underline:none">1854</span></a></span><span style="color: rgb(255, 204, 51); font-weight: bold;font-size:100%;" >.</span><br /><span style="color: rgb(255, 204, 51); font-weight: bold;font-size:100%;" >No começo do ano seguinte surgiram os sintomas de gota. Inteiramente consciente, praticamente até ao fim, morreu pacificamente na manhã de </span><span style="color: rgb(255, 204, 51); font-weight: bold;font-size:100%;" ><a href="http://pt.wikipedia.org/wiki/23_de_Fevereiro" title="23 de Fevereiro"><span style="Arial","sans-serif"; text-decoration:none;text-underline:none">23 de Fevereiro</span></a></span><span style="color: rgb(255, 204, 51); font-weight: bold;font-size:100%;" > de </span><span style="color: rgb(255, 204, 51); font-weight: bold;font-size:100%;" ><a href="http://pt.wikipedia.org/wiki/1855" title="1855"><span style="Arial","sans-serif";text-decoration:none;text-underline:none">1855</span></a></span><span style="color: rgb(255, 204, 51); font-weight: bold;font-size:100%;" >.</span><br /><span style="color: rgb(255, 204, 51); font-weight: bold;font-size:100%;" >Nesse contexto, faz-se saber que é preciso também não só ensinar a matemática de forma decorativa, mas explicar o porquê. O resultado deve ser entendido de forma histórica, o educando tem que entender que matemática não é só cálculo, mas faz parte do seu cotidiano. Ele pergunta: para que eu quero aprender função? O que isso importa em minha vida? Se ele sabe o verdadeiro sentido das coisas ele consegue correlacionar seu cotidiano com a mesma. Todavia, a forma como se ensina a matemática nos dias de hoje, impede de que o aluno possa entender e dar valor a disciplina, e às vezes acaba caindo em descaso. É uma triste realidade, mas quem está constantemente vivenciando esse processo, pode saber que este é um caso verídico. O livro iniciação ao estudo didático da álgebra aponta que alunos de várias partes do mundo encontram dificuldades ao se aproximar das primeiras ferramentas de álgebras. Em resposta a tais dificuldades, costuma-se propor_ de maneira mais ou menos explícita _ uma simplificação dos objetos e uma algoritimização das práticas. Essa afirmação leva a refletir, sobre a importância do que está em jogo que é realmente o aprendizado, e fazer uma simplificação não irá em hipótese alguma resolver essa questão de dificuldade.</span><br /><span style="color: rgb(255, 204, 51); font-weight: bold;font-size:100%;" >Nessa perspectiva, Gauss mostra de forma clara que o estudo e a pesquisa são indispensáveis, para o aprendizado da matemática. E isso nos orienta na prática educativa.</span><br /><span style="color: rgb(255, 204, 51); font-weight: bold;font-size:100%;" >Após o estudo biográfico, perpassando por toda trajetória de vida de Gauss, observa-se que ele buscou cada momento, desde o início na escola, aperfeiçoar e dedicar-se aos estudos.</span><br /><span style="color: rgb(255, 204, 51); font-weight: bold;font-size:100%;" >Contudo nos dias atuais, em que a educação passa por um momento crítico, esse estudo, permite refletir sobre a prática pedagógica, no sentido de melhorar o trabalho, dar ênfase as mudanças e formular objetivos para que o aluno possa interessar-se mais, ter ânimo, auto-estima, perspectiva e explorar mais sua capacidade, ir em busca de seu objetivo e preparando-se<span style="mso-spacerun:yes"> </span>para o mundo globalizado e competitivo.</span><br /><span style="color: rgb(255, 204, 51); font-weight: bold;font-size:100%;" ><span style="Arial","sans-serif";background:white"> </span></span><br /><span style="color: rgb(255, 204, 51); font-weight: bold;font-size:100%;" ><span style="Arial","sans-serif";background:white">Referências bibliográficas:</span></span><br /><span style="color: rgb(255, 204, 51); font-weight: bold;font-size:100%;" ><span style="Arial","sans-serif";background:white"> </span></span><br /><span style="color: rgb(255, 204, 51); font-weight: bold;font-size:100%;" > </span><br /><span style="color: rgb(255, 204, 51); font-weight: bold;font-size:100%;" ><a href="http://pt.wikipedia.org/wiki/CarlFriedrichGauss"><span style="Arial","sans-serif"">http://pt.wikipedia.org/wiki/CarlFriedrichGauss</span></a></span><br /><span style="color: rgb(255, 204, 51); font-weight: bold;font-size:100%;" > </span><br /><span style="color: rgb(255, 204, 51); font-weight: bold;font-size:100%;" ><a href="http://www.educ.fc.ul.pt/docentes/opombo/seminario/gauss/gauss.httm"><span style="Arial","sans-serif"">http://www.educ.fc.ul.pt/docentes/opombo/seminario/gauss/gauss.httm</span></a></span><br /><span style="color: rgb(255, 204, 51); font-weight: bold;font-size:100%;" > </span><br /><span style="color: rgb(255, 204, 51); font-weight: bold;font-size:100%;" >Sessa, Carmem</span><br /><span style="color: rgb(255, 204, 51); font-weight: bold;font-size:100%;" >Iniciação ao estudo didático da álgebra: origens e perspectivas/Carmem Sessa; tradução Damiana Kraus. </span><span style="color: rgb(255, 204, 51); font-weight: bold;font-size:100%;" lang="EN-US" >_ São Paulo: Edições SM, 2009.</span><br /><span style="color: rgb(255, 204, 51); font-weight: bold;font-size:100%;" class="citation" ><span style="Arial","sans-serif";font-variant:small-caps;mso-ansi-language: EN-US" lang="EN-US"> </span></span><br /><span style="color: rgb(255, 204, 51); font-weight: bold;font-size:100%;" class="citation" ><span style="Arial","sans-serif";font-variant:small-caps;mso-ansi-language: EN-US" lang="EN-US">Simmons</span></span><span style="color: rgb(255, 204, 51); font-weight: bold;font-size:100%;" class="citation" ><span style="Arial","sans-serif";mso-ansi-language:EN-US" lang="EN-US">, J.. The Giant Book of Scientists: The 100 Greatest Minds of All Time. </span></span><span style="color: rgb(255, 204, 51); font-weight: bold;font-size:100%;" class="citation" ><span style="Arial","sans-serif"">Sydney: The Book Company, 1996.</span></span><br /></div> <p style="margin:0cm;margin-bottom:.0001pt;text-align:justify;text-justify: inter-ideograph;line-height:150%"><span style="Arial","sans-serif"; background:whitefont-family:";color:#333333;" > </span></p> <table class="MsoNormalTable" style="width:100.0%;mso-cellspacing:1.5pt;mso-yfti-tbllook:1184" border="0" cellpadding="0" width="100%"> <tbody><tr style="mso-yfti-irow:0;mso-yfti-firstrow:yes;mso-yfti-lastrow:yes"> <td style="width:83.0%;padding:.75pt .75pt .75pt .75pt" width="83%"> <p class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto; text-align:justify;text-justify:inter-ideograph;line-height:150%"><span style="line-height:150%;font-family:"Arial","sans-serif"; mso-fareast-Times New 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</span>BRANDÃO<span style="mso-spacerun:yes"> </span><span style="mso-spacerun:yes"></span><b> </b></span></p> <p class="MsoNormal" style="margin: 5.75pt 0cm 0.0001pt; line-height: normal; color: rgb(0, 153, 0);font-family:verdana;"><span style="Arial","sans-serif";mso-fareast-mso-font-kerning:12.0ptfont-family:";font-size:100%;" ><span style="mso-spacerun:yes"> </span></span></p> <p class="MsoNormal" style="margin: 5.75pt 0cm 0.0001pt; line-height: normal; color: rgb(0, 153, 0);font-family:verdana;"><span style="Arial","sans-serif";mso-fareast-mso-font-kerning:12.0ptfont-family:";font-size:100%;" > </span></p> <p class="MsoNormal" style="margin: 5.75pt 0cm 0.0001pt; line-height: normal; color: rgb(0, 153, 0);font-family:verdana;"><span style="Arial","sans-serif";mso-fareast-mso-font-kerning:12.0ptfont-family:";font-size:100%;" ><span style="mso-spacerun:yes"> </span></span></p> <p class="MsoNormal" style="margin: 5.75pt 0cm 0.0001pt; text-align: center; line-height: normal; color: rgb(0, 153, 0);font-family:verdana;" align="center"><span style="font-size:100%;"><b style="mso-bidi-font-weight:normal"><span style="Arial","sans-serif";mso-fareast-mso-font-kerning:12.0ptfont-family:";" > </span></b></span></p> <p class="MsoNormal" style="margin: 5.75pt 0cm 0.0001pt; text-align: center; line-height: normal; color: rgb(0, 153, 0);font-family:verdana;" align="center"><span style="font-size:100%;"><b style="mso-bidi-font-weight:normal"><span style="Arial","sans-serif";mso-fareast-mso-font-kerning:12.0ptfont-family:";" > </span></b></span></p> <p class="MsoNormal" style="margin: 5.75pt 0cm 0.0001pt; text-align: center; line-height: normal; color: rgb(0, 153, 0);font-family:verdana;" align="center"><span style="font-size:100%;"><b style="mso-bidi-font-weight:normal"><span style="Arial","sans-serif";mso-fareast-mso-font-kerning:12.0ptfont-family:";" > </span></b></span></p> <p class="MsoNormal" style="margin: 5.75pt 0cm 0.0001pt; text-align: center; line-height: normal; color: rgb(0, 153, 0);font-family:verdana;" align="center"><span style="font-size:100%;"><b style="mso-bidi-font-weight:normal"><span style="Arial","sans-serif";mso-fareast-mso-font-kerning:12.0ptfont-family:";" > </span></b></span></p> <p class="MsoNormal" style="margin: 5.75pt 0cm 0.0001pt; text-align: center; line-height: normal; color: rgb(0, 153, 0);font-family:verdana;" align="center"><span style="font-size:100%;"><b style="mso-bidi-font-weight:normal"><span style="Arial","sans-serif";mso-fareast-mso-font-kerning:12.0ptfont-family:";" > </span></b></span></p> <p class="MsoNormal" style="margin: 5.75pt 0cm 0.0001pt; text-align: center; line-height: normal; color: rgb(0, 153, 0);font-family:verdana;" align="center"><span style="font-size:100%;"><b style="mso-bidi-font-weight:normal"><span style="Arial","sans-serif";mso-fareast-mso-font-kerning:12.0ptfont-family:";" > </span></b></span></p> <p class="MsoNormal" style="margin: 5.75pt 0cm 0.0001pt; text-align: center; line-height: normal; color: rgb(0, 153, 0);font-family:verdana;" align="center"><span style="font-size:100%;"><b style="mso-bidi-font-weight:normal"><span style="Arial","sans-serif";mso-fareast-mso-font-kerning:12.0ptfont-family:";" >BIOGRAFIA</span></b></span></p> <p class="MsoNormal" style="margin: 5.75pt 0cm 0.0001pt; text-align: center; line-height: normal; color: rgb(0, 153, 0);font-family:verdana;" align="center"><span style="font-size:100%;"><b style="mso-bidi-font-weight:normal"><span style="Arial","sans-serif";mso-fareast-mso-font-kerning:12.0ptfont-family:";" > </span></b></span></p> <p class="MsoNormal" style="margin: 5.75pt 0cm 0.0001pt; text-align: center; line-height: normal; color: rgb(0, 153, 0);font-family:verdana;" align="center"><span style="font-size:100%;"><b style="mso-bidi-font-weight:normal"><span style="Arial","sans-serif";mso-fareast-mso-font-kerning:12.0ptfont-family:";" > </span></b></span></p> <p class="MsoNormal" style="margin: 5.75pt 0cm 0.0001pt; text-align: center; line-height: normal; color: rgb(0, 153, 0);font-family:verdana;" align="center"><span style="font-size:100%;"><b style="mso-bidi-font-weight:normal"><span style="Arial","sans-serif";mso-fareast-mso-font-kerning:12.0ptfont-family:";" > </span></b></span></p> <p class="MsoNormal" style="margin: 5.75pt 0cm 0.0001pt; text-align: center; line-height: normal; color: rgb(0, 153, 0);font-family:verdana;" align="center"><span style="font-size:100%;"><b style="mso-bidi-font-weight:normal"><span style="Arial","sans-serif";mso-fareast-mso-font-kerning:12.0ptfont-family:";" > </span></b></span></p> <p class="MsoNormal" style="margin: 5.75pt 0cm 0.0001pt; text-align: center; line-height: normal; color: rgb(0, 153, 0);font-family:verdana;" align="center"><span style="font-size:100%;"><b style="mso-bidi-font-weight:normal"><span style="Arial","sans-serif";mso-fareast-mso-font-kerning:12.0ptfont-family:";" > </span></b></span></p> <p class="MsoNormal" style="margin: 5.75pt 0cm 0.0001pt; text-align: center; line-height: normal; color: rgb(0, 153, 0);font-family:verdana;" align="center"><span style="font-size:100%;"><b style="mso-bidi-font-weight:normal"><span style="Arial","sans-serif";mso-fareast-mso-font-kerning:12.0ptfont-family:";" > </span></b></span></p> <p class="MsoNormal" style="margin: 5.75pt 0cm 0.0001pt; text-align: center; line-height: normal; color: rgb(0, 153, 0);font-family:verdana;" align="center"><span style="font-size:100%;"><b style="mso-bidi-font-weight:normal"><span style="Arial","sans-serif";mso-fareast-mso-font-kerning:12.0ptfont-family:";" > </span></b></span></p> <p class="MsoNormal" style="margin: 5.75pt 0cm 0.0001pt; text-align: center; line-height: normal; color: rgb(0, 153, 0);font-family:verdana;" align="center"><span style="font-size:100%;"><b style="mso-bidi-font-weight:normal"><span style="Arial","sans-serif";mso-fareast-mso-font-kerning:12.0ptfont-family:";" > </span></b></span></p> <p class="MsoNormal" style="margin: 5.75pt 0cm 0.0001pt; text-align: center; line-height: normal; color: rgb(0, 153, 0);font-family:verdana;" align="center"><span style="font-size:100%;"><b style="mso-bidi-font-weight:normal"><span style="Arial","sans-serif";mso-fareast-mso-font-kerning:12.0ptfont-family:";" > </span></b></span></p> <p class="MsoNormal" style="margin: 5.75pt 0cm 0.0001pt; text-align: center; line-height: normal; color: rgb(0, 153, 0);font-family:verdana;" align="center"><span style="font-size:100%;"><b style="mso-bidi-font-weight:normal"><span style="Arial","sans-serif";mso-fareast-mso-font-kerning:12.0ptfont-family:";" > </span></b></span></p> <p class="MsoNormal" style="margin: 5.75pt 0cm 0.0001pt; text-align: center; line-height: normal; color: rgb(0, 153, 0);font-family:verdana;" align="center"><span style="font-size:100%;"><b style="mso-bidi-font-weight:normal"><span style="Arial","sans-serif";mso-fareast-mso-font-kerning:12.0ptfont-family:";" >Jequié</span></b></span></p> <p class="MsoNormal" style="margin: 5.75pt 0cm 0.0001pt; text-align: center; line-height: normal; color: rgb(0, 153, 0);font-family:verdana;" align="center"><span style="font-size:100%;"><b style="mso-bidi-font-weight:normal"><span style="Arial","sans-serif";mso-fareast-mso-font-kerning:12.0ptfont-family:";" >2011</span></b></span></p>cidade queridahttp://www.blogger.com/profile/14585015296806276916noreply@blogger.com0tag:blogger.com,1999:blog-3105487844897320830.post-62948115500464918052011-10-28T08:03:00.001-07:002011-10-28T10:35:16.625-07:00A História da Geometria<div style="text-align: center;"><br /></div><div style="text-align: center;"><br /></div><div style="text-align: center;"><br /></div><img src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEifltcFf9Mol1OEoTIX2yW81eCFUmx52I1HsSFX-z_UR0-2t_eAb6tnRM1NIwETSq4hb-AU-xFNb_wOnV6qzWjxkFAGDrxby1xiy3lnN4ltC8oOUCaWFn4wJeX4E4ZaYpLXgUgxRqiWRo00/s320/imagem.bmp" style="display:block; margin:0px auto 10px; text-align:center;cursor:pointer; cursor:hand;width: 320px; height: 240px;" border="0" alt="" id="BLOGGER_PHOTO_ID_5668572125324706194" /><div style="text-align: center;"><br /></div><div><div><div><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEia6QPcgL6dMhzOL2gavyFdwWj1bwVaZQsfTQdiJ4vcLPuxTPEZp626C_tcCupYKveLGQUIsAo4h9wlblWPtFWJT57fB9hBn6z0V39_3Lym9HfHCz07Obqho-brBh0uviQpIGMaL64d6DRn/s1600/sderae.bmp" onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}"><img style="display:block; margin:0px auto 10px; text-align:center;cursor:pointer; cursor:hand;width: 320px; height: 240px;" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEia6QPcgL6dMhzOL2gavyFdwWj1bwVaZQsfTQdiJ4vcLPuxTPEZp626C_tcCupYKveLGQUIsAo4h9wlblWPtFWJT57fB9hBn6z0V39_3Lym9HfHCz07Obqho-brBh0uviQpIGMaL64d6DRn/s320/sderae.bmp" border="0" alt="" id="BLOGGER_PHOTO_ID_5668573016670156274" /></a></div><div><br /></div><div><div style="text-align: center; "></div></div><div><br /></div><div><div><img src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEirKCsZ2vdCE1XqW6aynT0-HRSFkMu0FVz4AiziN61KFRrDEO5ekKbz7mmfltUHNFdaVGHMt0SOumAt_vRhyphenhyphenXjlKUDe2-6deW27ZWqdDMFep2KppwRTd20BJFEYE7BaVoTMhVjeBFW9m7SC/s320/drertewrtw.bmp" border="0" alt="" id="BLOGGER_PHOTO_ID_5668573725029633346" style="display: block; margin-top: 0px; margin-right: auto; margin-bottom: 10px; margin-left: auto; text-align: center; cursor: pointer; width: 320px; height: 240px; " /><div></div></div><div style="text-align: center;"><br /></div><div><div><div></div></div></div><div style="text-align: center;"><br /></div><div><div style="text-align: center;"><div style="text-align: center; "><div style="text-align: center; "></div><div style="text-align: center; "></div></div><span class="Apple-style-span"><span class="Apple-style-span"><span class="Apple-style-span" style="margin-right: auto; margin-left: auto; "><a 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src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiBZoynwk61zigmVFX1uGDVrRz0tsxOIMxLgPj699rGuDitDW4BnO2Eg3akCpCmmHc-vMzkklkZ4wON8nSkKaiWX-4hqruvjUZX2KdCdbEUB3JNQ2Pa4B-WQkjQF13lU8gJD_nvhyphenhyphenJmoHr4/s320/awerwerqert.bmp" border="0" alt="" id="BLOGGER_PHOTO_ID_5668580523650621506" style="display: block; margin-top: 0px; margin-right: auto; margin-bottom: 10px; margin-left: auto; text-align: center; cursor: pointer; width: 320px; height: 240px; " /></span></span></u></span><div><div><div></div></div></div></div></div></div><div style="text-align: center;"><br /></div><div><div><div><div></div><span class="Apple-style-span" style="color: rgb(0, 0, 0); -webkit-text-decorations-in-effect: none; "><div><span class="Apple-style-span" style="color: rgb(0, 0, 0); -webkit-text-decorations-in-effect: none; "><a 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class="Apple-style-span" ><u><br /></u></span></div><div><div><div><div><div><div><div><div><div></div></div></div></div></div></div></div></div></div><div style="text-align: center;"><br /></div><span class="Apple-style-span"><div><div style="color: rgb(0, 0, 0); -webkit-text-decorations-in-effect: none; "><div><div><div><div><div></div></div></div></div></div></div><div style="color: rgb(0, 0, 0); -webkit-text-decorations-in-effect: none; "><span class="Apple-style-span" ><u><br /></u></span></div><div><div><div><span class="Apple-style-span" style="margin-right: auto; margin-left: auto;"><img src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgI5kk1pEcXo8cH352LSOmrC_l6kSQqqI4BPvKU5InCNgnVPY2sRkuOSWUZy-Gmy-vMNdkq7ODYC6fJPafJMI9CEOx-wWjZuNDHSoRJjO0OvjBLZepDdEGqTIfsEMESrP5EJhhM5Tl8Bhyphenhyphend/s320/asdfkehrowur-0w.bmp" border="0" alt="" id="BLOGGER_PHOTO_ID_5668585239552816098" style="display: block; margin-top: 0px; margin-right: auto; margin-bottom: 10px; margin-left: auto; text-align: center; cursor: pointer; width: 320px; height: 240px; " /><div><div><div><div><div><div><div><div><div></div></div></div></div></div></div></div></div></div><div style="text-align: center;"><br /></div><div><span class="Apple-style-span" style="color: rgb(0, 0, 238); "><u></u></span></div></span><div style="text-align: center;"><br /></div><div style="color: rgb(0, 0, 0); -webkit-text-decorations-in-effect: none; "><span class="Apple-style-span" style="color: rgb(0, 0, 238); "></span></div><div style="color: rgb(0, 0, 0); -webkit-text-decorations-in-effect: none; text-align: center; "><br /></div><div style="color: rgb(0, 0, 0); -webkit-text-decorations-in-effect: none; "><div style="text-align: center; "></div></div><div style="color: rgb(0, 0, 0); -webkit-text-decorations-in-effect: none; "><br /></div><div><div><div><div><div><div style="color: rgb(0, 0, 0); -webkit-text-decorations-in-effect: none; "><img 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"><div><div><div><div><div><div><div><div><div><div><div></div></div></div></div></div></div></div></div></div></div></div></span><div style="color: rgb(0, 0, 0); -webkit-text-decorations-in-effect: none; "></div><div style="text-align: center;color: rgb(0, 0, 0); -webkit-text-decorations-in-effect: none; "><div style="color: rgb(0, 0, 0); -webkit-text-decorations-in-effect: none; "><span class="Apple-style-span" style="margin-right: auto; margin-left: auto; "><div><span class="Apple-style-span" style="color: rgb(0, 0, 238); "><u></u></span></div></span></div></div><div style="text-align: center; color: rgb(0, 0, 0); -webkit-text-decorations-in-effect: none; "><div style="color: rgb(0, 0, 0); -webkit-text-decorations-in-effect: none; "><span class="Apple-style-span" style="margin-right: auto; margin-left: auto; "><div><span class="Apple-style-span" style="color: rgb(0, 0, 238); "><u><br /></u></span></div><div></div><div style="text-align: center; "><span class="Apple-style-span" 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style="color: rgb(0, 0, 0); -webkit-text-decorations-in-effect: none; "></span></a><span class="Apple-style-span" style="-webkit-text-decorations-in-effect: none; "></span></span><span class="Apple-style-span" style="color: rgb(0, 0, 0); -webkit-text-decorations-in-effect: none; "><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEia6QPcgL6dMhzOL2gavyFdwWj1bwVaZQsfTQdiJ4vcLPuxTPEZp626C_tcCupYKveLGQUIsAo4h9wlblWPtFWJT57fB9hBn6z0V39_3Lym9HfHCz07Obqho-brBh0uviQpIGMaL64d6DRn/s1600/sderae.bmp" onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}"><span class="Apple-style-span" style="color: rgb(0, 0, 0); -webkit-text-decorations-in-effect: none; "><span class="Apple-style-span" style="color: rgb(0, 0, 238); -webkit-text-decorations-in-effect: underline; "></span></span></a></span><span class="Apple-style-span" style="color: rgb(0, 0, 0); -webkit-text-decorations-in-effect: none; "><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEia6QPcgL6dMhzOL2gavyFdwWj1bwVaZQsfTQdiJ4vcLPuxTPEZp626C_tcCupYKveLGQUIsAo4h9wlblWPtFWJT57fB9hBn6z0V39_3Lym9HfHCz07Obqho-brBh0uviQpIGMaL64d6DRn/s1600/sderae.bmp" onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}"><span class="Apple-style-span" style="color: rgb(0, 0, 0); -webkit-text-decorations-in-effect: none; "><span class="Apple-style-span" style="color: rgb(0, 0, 238); -webkit-text-decorations-in-effect: underline; "></span></span></a></span><span class="Apple-style-span" style="color: rgb(0, 0, 0); -webkit-text-decorations-in-effect: none; "><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEia6QPcgL6dMhzOL2gavyFdwWj1bwVaZQsfTQdiJ4vcLPuxTPEZp626C_tcCupYKveLGQUIsAo4h9wlblWPtFWJT57fB9hBn6z0V39_3Lym9HfHCz07Obqho-brBh0uviQpIGMaL64d6DRn/s1600/sderae.bmp" onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}"><span class="Apple-style-span" style="color: rgb(0, 0, 0); -webkit-text-decorations-in-effect: none; "><span class="Apple-style-span" style="color: rgb(0, 0, 238); -webkit-text-decorations-in-effect: underline; "></span></span></a></span></div></div></div></div></div></div>cidade queridahttp://www.blogger.com/profile/14585015296806276916noreply@blogger.com0tag:blogger.com,1999:blog-3105487844897320830.post-53866450730219495382011-10-07T05:53:00.000-07:002011-10-07T05:59:48.369-07:00<div style="text-align: center; font-weight: bold;"><span style="font-family: "Arial Narrow"; text-transform: uppercase; letter-spacing: 0.5pt; vertical-align: baseline;font-family:+mj-cs;font-size:130%;color:#DC9E1F;" >Origem Histórica do desenvolvimento da</span><span style="font-size:130%;"><br /></span><span style="font-family:"Arial Narrow"; mso-ascii-font-family:"Arial Narrow";mso-fareast-font-family:+mj-ea;mso-bidi-font-variant:normal;mso-color-index:3;text-transform:uppercase; letter-spacing:.5pt;mso-font-kerning:12.0pt;language:pt-BR;vertical-align:baseline; mso-text-raise:0%font-family:+mj-cs;font-size:130%;color:#DC9E1F;" >geometria</span></div>cidade queridahttp://www.blogger.com/profile/14585015296806276916noreply@blogger.com0tag:blogger.com,1999:blog-3105487844897320830.post-45398271767225944402011-10-07T05:37:00.000-07:002011-10-07T06:09:53.421-07:00Geometria<p style="language:pt-BR;line-height:normal;margin-top:7.68pt;margin-bottom: 6.0pt;margin-left:0in;text-indent:0in;text-align:center;direction:ltr; unicode-bidi:embed;mso-line-break-override:none;word-break:normal;punctuation-wrap: hanging"><img style="width: 130px; height: 188px;" 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lcdUFpo9u5FS/+HxQ1VBllRUvuXzlpfFZDuKTnb5vd0L9FkD7FzeypY8uaNww2poYZL6pJf3jvCCp5zh++Wz/Wbn23fc2fJyJO2HYutq+Mmbm6w2tQc4mkqOstDJt5PPjlQ/+HZduLT4avHW2pKggvzfO/e3Ynxe4w/DY/caG9PrCp1vXistO/50lNbo4vjpLpr7I+tTUj2l5rp/Eeg9Z/hztIb2yKGXm8afL2roy4qKdz8wrF1kB7AmBrDwNAs/paN0BCyaPzUDeh/2Q0QI4ARxBhiKCB5AmIYwlGGeXv7xpbqCp+WBq/+D51XzqTkJk1pKDR4fLx6dalvuNnEVHfxriLXTbUznp9rH3l76MDqgtQw06PbFlOClxB8HPx4dU6cbVOpz+CT7ovb4xYki25bZHRnf/ySMgd344mx3nL1eY5rG2KeXVxO9Z7ctjIvPc527456Hvcexr0Y937puzh//oy2xaHP77ReP1FQm61ZM0f53Pb4A91JfuaiQTZ/ZEUoNRS6XDpUPvR661/7quZlODVWzO55eRFjAYYEYmmKIGmKGavYvmEYP3XDf8eAEMbfMQCM+KRASHAxJhjm48VzayvmeXUvCR/sWbmh07UyV+ra4fSeK621Caa20hPmeCtf3Dj346Wlw/c3PTrZ3lkbU5kd+ODaXoyHEPjS9/ZydoLTutaEz/eWd5aZ16dJvzqV+vFKSUmcuqP2hAQ/pQMrU15dWfb2xqr+53sbKyITZ1q/fnoS4x6G+YBx38fPF8rLQ5a3xdy9VL9lWUhRvNz+7qAPN+pW1YVaqf7pY/7nqnr/R+frvzxZN/By+/KGmTkJNmcOdFCCtxjzEcNHkAUMS1MMy0KEMcCIRRCOLwwIfjUMMYZjXMA3owGgaQpjGsLh61d2VhUHdrZEfn65snW+2cpGa7Jn1fMzi7IDlE2mTcgJ1L67v2bgzlrO011nt9dU5wR0NeT0vL2B8TAkPw/23CnNnbFjZf7zS2216dqbF9kJHi14/VdhdqicjeqE7EjDS3vK+h5u/nh3053Ty0sy/eZlBQ99uYPhFx7/DcJ9X3pv1FbPblk089C2/OULPDvKLJ6eLel/0NFS7GWr8XuYs/iJrXncd7t6n236/GxrQ3lgYbrbh2cnMR6AzDAgRjECGCKGZhkWIIzBV5c7XjCgbyX03zbmlMZ6TGMpHWAhYGkM+J977rYtTKkr9n1yvb2+2HTLUm88vOv+0ZpMfyVrmQmLMpw+XOq8unv+xT0165vTqvNmXD65USDogewIYkZHB19VzYtd15F780RTfZ7F7nZfzoP6h0dzM4Kk3PT+q63E7+n5tvsnWw+vK+pelLRg3sxd6xtJ/jsIBwXCjxiPDg0/aW/JLc713rAseXtn7PIK+9cXawYfrliU7+Jq+EdamNb1Ywtf3uze2pV6dEdZTaFvY3UsyX+G8Qgj6GUEwxgBjDDDAIYFECOAAPylBdy/jeHrqed3YxCGP2KACNMkJAUUZknMju5a11CU5npwQ/7iYrsNLX4jz1a/vbKsMdspymHahvqID9e619XPXlTgU5bhsbgycfDjfYwFDMlBiOXz+pa2VNaXJ2zvyltW5buq2uXNufIPVxc15lnOdJ28pzPp1eXlW1qTqjJcU0PNuhpye15eQ2AYQi4LOAiRXF7PoX0rctO8WuZHHt9cuDjP+vreQs7TjeubYqO9FatzXS8dWrBvfV5mjGFRul1dceDBXY0s/RaBfpr3mRGMYJbGALIsBABCDAFi4d//zcYFBgZjEmMhxgTGJMY0wuB7xxUgzDCYxwG8URqzEAPyyrHttfnh9YX+i4tcV9T63D1ZN/p69+6lqVWp5ptaZp/bUdZeHpQ12yw53HzZ4rkC7geMWULIZ1lWwOdcOHO4qjB+Xprn0vkhC+aY3tiTw3zafmbTnIwZcnu6Eq/sq67Ldi2Ms4300NqwpBLQ/RjyIStAiAaAEgoH37++3VidXpLhs6kltT7L4UhXCufp9ptHmysynJcvmLl/fcHy+qj8ZMtIH8X2RXHvnh8juE8ZwXtW2MeSHEARgGEgRAhhhCH8WhKNLwxCjPkYCzAmMKYQhuBbXwkgTDNYwIMCLmRJwHBGPz6+cWBdfXWWb22WU2GMYWtpwLUjizqrZ1SlWzcVey7IcylKssqMsayvjL3413Y+7zNNCwmSZBiWIIih/k8bVjbOS/drKPJPDVBYWeX59PyiQysTk/yl67Jtl1UFZkbq5UXb1OaH3Ti/G2MBQ4wwpABhCCHDMEIEeBdObGsuT1iQ41cQZdiY6XB+W/mJLRWFSXYd1eGNZcEZs01Ls1yKM53/OrYEUM8FQw8pzhtIj7A0n+BzCaEQAIi/ZuTjEQOBsQBjAcYkwgzE6McuK4swwyKKgCSPEA72g9GPPfdPdNUlZkfq+5hODrWXKksyj/aQjPORSQ9TDXKY6m8/PTvB9uSh5YTgHUX083nDNE2zAFAUgRH58smlNW0FuTFWvmZ/xHuJ1c0xKYrWCrL+V5jDlER/hQh36fhAnePbmyjhO4RGhLx+UsgDECCEEIIYU8Tw65M72nKiLEOspkbaTymONSqMMwtyFJ2bYB4TqG2l83tKlOHW1QV9Hy9g/IkRvGEEHzHgMYyAx+Pw+XyWHTvtgAizX8/Wxw2GMSkGiTGFMAsw/FGzN0aCAiwhJGiCRwuGMB7h91xb3ZAabCvqqDkhyHLyDKs/PPQn+Fv8M9D2X9ZaE0zUJsTM0D+8p13Ae4MRhxCO0AwJAC3gDWEsAIK3O1ZVeVqI2GlMcNGZ4GM8IcT6d1/Tf/iZ/eZr8Zu97oQAR8lT+9to8o2A/4EUDhAEV0gIWZZFkCUFgxgP3Tu7KdZX00JpgqPWhADLf3iZ/dPJYEKgw1Qb3d9UxCb42Iuu78r98u48BD0YDUBmCLJ8hiEIQkiSJADst4P3cYcBfA8EY5GZHuvufzMaYyFD8wSjEHAwHuUOPrxytLO1PDzORyU9SK083jArWGFOsHxGiGJysGK0v3yIm3RarE19TdL+3V2Dg69pmkPRPJYR8DhfhnufPbqxr7U6PtRVPiFANsZLcparZFao6pwZagXRhnMitELdpOPCtFsbEo8d7nz27CJNDwqJ0ZGRIYoiEGQ4A++e3zmxtbMoLdzA13pakP2/wl1+C3H4V5jLH4F2//K1mephKeLvJF4zL+TAjqbnj/9imX6MeIARsAwJWAYAACEY6xGMQ6f0d+8dfjsI/W8YSEALqVEIhzDuu3hqTVWef0Nx0Jr6mB3tiTvaorc1Re5sn7W1bdaG1pnr2+NXNid1tWXOSfOOi/E8dXIXn99H0xyaGiWFA9cu7F9QGlOc4bG2JXHfqtR1TaFrFs7Y2Z6waXHszmWp25enrmqJX9IYk5Jgk5zktnf/Cr7wM184PDTUT1MExuxAz7PmmszkSPPGsoCGEreKTP3yDM2aHIP5mXplaQb181wby/yL0h2Ks7yKsoPXrVw40PccQx5khSxDAsBCCAFkx5QA6KseYPzUDT/U0Oh/CJVojAU0LaRJBvApspc78Hjt0nnZcfbHts5/e2Pdmysrnv3V8vpCa8/1pW+vLXl4runuufaHV1cf3F2fnOjm4abf0lzx+fNLwPJocljA+7K0pSwrwWNbd+GbO+t7n6z/cHfZu2tL3l9d8e7KyucXlj26sOzm2Y6dm4rTkuw9vbUamgt6B19SNJ/LHaYpIY87dPbY7ryU4OIs7zN75189XnF6d/qZXclXDmVfPph7bk/ulaMV10817NlQWJLtHeKrX1Gc+PjBeZYaxpBkGZJlGQDYHzDA8YsB/zcnhTHAmMsX8gUCjEiC9+Xdk0tLFmYtmBfx4cGenjtbH5xqe3a27cnpxudnF7+42HL9aO2J3eV/HW5cuSwnM90nNtqjoiLrxYt7CApoYmio/3VeRmR9ZWLP44NPr61+enXJpwfd728se3qm9cP1VfdONJ/fV3toW1nLwtnzy8Ni45xKK5Lef3yEEENRAoYS9rx70d5Quagi7fSBtmc3Vt89V3/v7Pwnl+a/ur7g/d2WJ5frb56uvflX08l9taV5viG++qWFMdevHKKE/RhTLEOyLA0AAyCA3xiMPwwIfO0hIYR/OKQdO5GjSJoiSQwoRjj0/snVpsr0olS/iwc7tnRkN80LWFUb1lnl1zrPZfl837YKn6J0m8xE+/Qk57QUj/T04Jq6uc+f32EZLiUYGOp9nZ85q7Y0/tqp7vUdqUtqAje2RW1oilhS6rt6QcSSiqCFhV5FGQ4xEXqFeX5JyR6l5ck9X54ASLEsCQH94c2zpS01zbXZZw51XDvZuqFj9spG/00dQduWhezqjljfHrJ0kf+ShSGtdREluT4zZ5gVz515/cphiujHmGRZggXUNwzfldO/jAH+RRhYjFiMvgqT/rbv+4SFmKEwK+D0v1m3pDo10qkmLzQhyMjPWjzKVSrKZXqQ9W9hjpPC3UScTX8zUJ/g6awYFWGRmhawcdOSL19eswyPIUcFnM8bV7eU5s0szw1KiTAIcZoW6jw1yk00zGFKuJNopJtkqJuEl910V1uRWRGmKSleS5fPHxp9ywABwwgxZkeGvpw+tqu+KqO+IrqrMa4oxSwlXC4tQnJOlFROrFxOnHJmrEZypHr0DPW4SJOYSKvmhpw3L68DZgQhAcsKWUD+gOFXigHG1i/FANFPXT3wg29iAGZJwPCunz8wPz86Jdwu0EnV1UzU22JqsM3kENs//a1/97P909NmspXhbx5OciFBhnMLZt28dYqmOQhSCBKAGnnz7Eb7ovwwL70gZzl309/tdCa4G/8z2HZSoPWkYEeRIGcxb3tRH2fZqFDTior4039tE5B9LBQQBBcAkmUF717dXdpUlBhpkxlrlZ9oljFLNT5YPDFELHO2XHG6blm2RXaCYZifgoejVHqS6/EjqwhhD0JcCHjfMUAIft1Jz0/r/wYD+4NIg0RjrSZECBDNHx18c3zv6rkpgT72qq6WUqGuiokBqvE+clHuEinhmlnxZv5usp7O8nk5QYcOrR0Z/YAxAQHJ0Dwhtx9Sg1f/2p0V7+luIR7sLBXpIRflIRvvq5AYoJIQpDbLXyXARcbPVamsKPzUyfVfep+wYFRIjIyODgj4IyzDI4V9l8/uKs0JneGpFhuskTZTM22mSkqEbGKoZFasakmmRWa8UZi/8pxkx01rqz68vYwxB2Muy3JYVvAfhQH9bxiEEAsRogDg8+jRfgQ4fR8fdbWUBrkb+DipZsbYl6U5FcSZ5cUYL5rn11AxY4avepCP9pZNDQTxCWMhgAJSODo61Dvc/xHSozS3Z2PnfHdL6eQwo7oCn4o5TkXxFqUptqXpDjnxViGeyt7OSts3LyQEbyAcBZDL4Q6MjAzwOIMC7gAEXJr4fGBbe4SffrCrfFK4ztxkk9x47eRw+eQIpbwk4/hwrYgA9R2b5n/5cIngv8J4CKJhBowygP+fgAH/0NX+Xkiw38RKFAJ8huWRkCCp0UHMcEj+pyN71yTH+CRHuzVUxDSXR3QtiF5eN2v5wthFZWHh/rr5mf43ru3FeARjEmGKOzrY9+mDkDeKIImx4Nie7lBPveJ0z5VNSZ0LZ7dWBDcW+3fURC2ujEiMMg8LMDx7ej3GXABHaWaUJLkUJaQpPskfZqkRjOkbF/elx7ilz7IrzfSsnuvZUOzZXh3QVh3UPD84O9EyJtzo+MEOlnoDwRdC2EOzAyzkjGFgIQO+Y/jVLH4Bhh9USejvyPwdA8BAyDBcEpA0w+cwvIGRvtfnT+8pLUqaX5rcujC9MMW9vXJ2e1X0/LzAkiy/zES3jqa8B/dOCAQfKWqIpoTc0ZGhvj6aJBBgMcM9fXBjZpx3Q2l0Y1lkZZbngkKf0nSn+bneTdWz588Ln5cbdvvGQYxHBcJeITHMsiQELIIMZAmaGMWYuHX5aOXc2MbypIaymNIMz/nZHktqIpYtnNW1OL6uOGTuHO+/TqykiDcs+1kg+EAzg/8ZGMa6vsbc6MkAACAASURBVBCzEH/NIv4m8c07IRpBAcvyhUDAY/jD/Z9eXTh7sK46f1FtTnVxXKCTelqodWqodWKoVdXcyJZFc1Ytr7pz8wTDDHM4vcODA4RASAoI/igPkDRmhdfOHKgqSOioy8yOdQlykk8OM4z204zwUivNCehuL+heWv7mxRWMBQQ5JCQ4FCWkSIJhaIwBgjTG9J3Lpxur8pfVz6spiE2cYRXtp5cQYpgYarSwOGzJwrTF1clP7x9F7GeG+sSyAywYGXNKDBz3GBjMMphlMGDx2Jzkt5zuW9YEacTwGZrLxyyNMRDyBu7cPNe6uKKyNK0sPzYp1Ck32ivWzzI/0X/b6kVrOqtXd9Y9vHcBY5YQcrkjHMhijDErZDDAGOPn96631Ba11uTkJ/vFBplkx9jHhxglhpkvrk7asnbhhtWNH98/wBhCSGIMEYJgTOz4bT28ea2jvmZ1W31VXlJKmNucmS7JoTYxAabttelbV9Z11Od/enMNYz4CAxhzIOQwgMMAAYNIFrIAAjg+MUAMacxSmKUwYDBifxR3oq9/YilA8ihaQLAUyTK0kD9078a5JU1VOelRJTnxrRX5bRW5WbP8F5dnXzi6rb2hdEnL/McPr2MMGIomBSykxyaFEGIQgujFw3vNNaXVhak1hQkNZfFNlXElmX6NlfE71zdsXFnf2lD28tk9jDFNkSwLEEQUyQgFFIJf39z9W3da6hYsrW8oy5pTmBzdXJ69qDClOC1y8/JFezZ0LKrMenznLAA8CEYw4kLAZwGfhUIWUQCxEIKxk59fXjj8WxjGNAoUBiQGJIbfJqHx3zDGtGMMZCkAaObj2zePbt+6f/3SoR0bFpbnJUYFzIkJXzQ3tzY3My7AuzgtcXNXR0lOWlVJ/rnTx/t7+3o/DXzuGe7/zPv8fvjNs8/vX35+/6rn1MEjZXnZOYmz8lMiq+ZG15fFlWQFN1QkbVnV2NlcXZSTduX8OSGffPem5/mz1x/e9z598ubu7cdvXn342NPb/3nozJGzpbklhen56bOTcmITa/Pz5mfNyU+IXlpX1d28sDgn9eDOjS+fPRge7sFYiBDJAiELCBZSLKQBHNNjoHGHgcWYwoj8aj+OpX+XdGMIEEYY0vTRvXsWlMyrLcwtSI6JC/IKtLcMtLeZ5eEb5e7rZmoV5OQ2Jzo21Ntnhp9/SUHR0tblzY3LGuuXNzd2L6pdXlGyuLa8eUF5Y3pciru9vauVuaOpvpu1XqCbqbeDfpiPdVpM8KxgP2drm6K8whXLV9fWLC4prqmrbSktXjA3t7yuuqmpYWln+9qKgrog9wgvuwAf+6Ag5+Bwt6BQZz8/W9fYwPDUmdER/oF56emdHa3Xrl6gKD7CDAtIFpAspFhIAcigsfAwLjH81Nkes28TP2MCGogxBoSwtbbGVlfbWkPFSlXeRkXORkHWQl7ZQknPQtXUWMnQXN3E3tDGVNNIU0FTW0VPT8NUXdlYRdFYWclUScFEUdZQQ8FMW9lMSVpVcpqYgrik7LRpEpP+JT1tkvTUiWoy0zXkJWRERSWmiCvKqmmoGCjK68nJ6igrGirK6cnL6KgqGaopmxhp2RtrOWrIWWjKWRsoOxkp2etJm+pKGmmK6+rLGZlpWppomhpoGAT6BGxav3F0eBghACDNjH8M36fR/yeJvwdWv2IgGkpL9MTFNCf9qTdlornoNFtJSUtJJQNxbR0JIx0pEzVxXWVRDU1ZPRVJLalpKrJiWpoqVvrazoa67kZ6HhaGPs7WMzzsQx0tPa1N7Jws7C31jQ3V1c10tMx1tUy01PTV1Ex0jOzNXcyNnXQ1bfR1HI0N3XS07A11nQz1neVlDCf+rjDxH4qSU/SVJa01ZV00pJzVRezVplgpTzRVnmKiOMVAXdJUV9F82h9SxnpWa7rX87l8hBALGAbQP2OA+FeT+HflYujnmbf/BQNCkKIRy0Ihsbphsa+urquigreioresrLeMgpucrqW0haG0vYGso7q4mcI0XQNlG1MtZwN1B1tTv6gZOZkpC/MymvLnNFcULG9duLmrZUdLXXdNSWNTTWtTbX1jVWXbgqrWBRULykoWlFW31LU3Vi+tq1xWWbKktKC9MK85JaEiK702M63GxyNOR8NZQcpKXc7ZWCPIXCtSVy5QV9LfWDpIR9TbQNpHR9rDSMnTXMtz+h/KViYeu3ccggBijBkWMIBlIf0DBjA25DqOMOAfKoTv2+L7YDTEGACW4nJYLhdwOHuWLEuwto3S0UvQN4iUU/CfJuUmqmUhbmso7Wmi5G+k4KEt7WCq4Wmu7aWj7GSo4eHnlpIcU5seX58eX1+Wv6J14c71nUfXLt3X3bb15IELz++/fP3w8cNrlx9cu/ji7oMPz97fv/xs04pDna27Vy473Lxwe35mS1JsZUZybVrifH+vFCNdP1U5F00FHyP1cFP1aF3ZSH3pWcbS0VpTZxhIhhvIhJoozTBR9Z/ym7q9VdDhA3+NvWWGgQyALGRZSANEI8Rg9Hfg+/ff3tj6ZbcEfC+c6Z8wIAhYmsdluTwwNHKia2Wuo0uqvnGplW2Golrw76Iuf6iaT3cwkAoyUQw3V55hqOCnK++uLe+iLGkrJ2qtpeTpbJ3oYpNsaxrj7Twn2Cc/aVZVakxFelzJhhV7B3q4756+WdfZtb5rxYMrdz6++HJkx/m56fWxEWU5qc1Js2sdrWMdraJd7GIdrGdamoRqKLnLitgrintqyYdpy87UlYk3kkszEE9W+zNKe/psQ+kYU8XZOrL+U/6p6+4UfezQVZrECGGGQQyALAQsZACiEaK/YRhLBn/N+pXTPj82k8Y0GQhDBFlIU4hh0dDIxVXrylzcc/VNWl0852sbx/4p7fWblrWIh6F0pL7MTCO5cD3ZQPmp9ioSzkbqQfoq/vKiTroqQboqwQpirkpSbtIitmqyLqoytsqypkmzCu5cerZ9wy4dVU0jTf26koXdbZtmh2TrKLnJidnqqQbqqQZKTbdVk/dQlXdTkLLXVPHUUPSSmuooOdlNRSJURXyWnmy6mUKBoXiO+sQkzSlJxjJp5sopWtIzRH+3CPTMPHn4Lp+LIcAsixmAxjBASGP4HcM4kgT8VC1/bymxX69qwBhBQBJAKMA0i/sG76zf3OgdUG5ksc47eLm5Y6G4VthkU3uxICPpeB3JGEPZ2YYKUQpT3U00IhPC6hPC6/WUQ5SlvFWl/eRF3RXE3cQmWspMtxGbZDTxNxUf5+hzR+90t6+b+F8TpaZIZsTm5iZX6au6Tf1NX2Kytcw0J/FJdnJiLmry3vISTuJTLNUVvZ2sU400o2Wm+slPD1MWj9OVzTWTLzOVLNebVqA9NcdEJs9KLVdPLlp6kku4X8mZo4//xsBiFsAfMPxYHY0fDN872/CnHivCGCPI8vkMZxQLCfzxy9PN2zqDwmqNLDe5BWy2dW/VsE6XcXYVCzWRTtSRiDWSjTZVjlaXDPB3LFzTfmF95yU36zlKEj6a8iEGqhGG6hFaCv76aoGaih7yEpaBnsmXzzzZsf6AmqyGvalDx6IVtcVLDdW85UXsjTUjtBWD5UU9jLSijLTDtZT9ZMUc9NSD5uWuzE7uNlBLlJ4cqiGTpi9XaChdZiZVYyI+X2dqgYFEnpVqgaFisuwUrzCfsjNHH5MCjCBmmP84DN/7GN9vuUIQUhQkhJgk8KdPL7Zt7w4Oq9YyXGPptNvGdZuFR42Of4BksLXUbH2xMD2JEAPZYFVxz6iAyosn39648N7fPU92uoeOQpi5doyRWqSWXICucoCWoqeKjIO/R/KVcy+2rD8oKSLvYuN59silXeuPm+sEq0i6GWlEainMUJb0NdKKNNCcYaQVLCtmZ6Dpf2jX9RP7X/q7VIn/K0BXIdNIaZ6ueJGxRKWpZLXm5Dz1KRnGCjmGismSE938XPOPH7xLCzFGmGEwyyIAWABpCCkMqfGKYey057te6Uepxlg3g2UwTeDB3ic7trb7+pYpq603tz5s43jM1mO1VXC6RrCXfKCFmKvWFCvp33Sn/6YZFVr0+FHvyxe9vt6Zf/yXocgfNhpSATqywZrSAToK/uoybopSDj6eaZcvv16//sDkiRK2Fm4Pbj69fu6pi1W8opi7qpS/lkKonkqYoXqImqyLuryj2EQ9E233hzff9L3F6bPbp//DWWFqhI50hrZ4tr54oZFksbZItvKkOB3pREOVOJE/bJ2tEw7uuQSoMQyQZVkAaAhJCMlxiuGbmBAh/FNz+0f1P6IpRPIQd/Ders0LXB2KFGR3Otidsbc/Y2l/wNF/sfWMGFUnd0ljW2kDDRFl0T+lwkKTHj57+/ztJ1fP+N9/0xT501JdwkdfNlhXOthIeYamrJesuL2vX9bl6+83bD48fZq8pbnLjcv37157F+CeJz3VVU7ES1810lQ7Sl/VV1nSUlnKZPofCuZ69o9uvhx6z+bGLxb7h6XUb+7qYjO1JBK1xTP0pLP05eaoiMzSlIo0VJ8p8qeZvWX4vl2nIYMwxizLAEBBQCJEIEQgRI5DDAhiyGIIMIRjYeG7mPuHh6QJAcEdALz+u3s3Vzpb5cqI7HKwOmdvc9bU7LSTx2a3oFwNszBZ9ULvwLrMrBAPz6CgGacuXrrz9JW5XZCdbWRWUmuM33wHzTjt6b6mCqH6igFyYg7+/rlXbnxct+nQtKnyFuauN67cvXfjXZB3ocx0D2VJfyP1KHVZb1kRC2MtNxfrAEUJVVMds8c3n7572BsXlKc01cZWK9ZcNUFpygwVkRhd+TRdhSR1qUht+TBdlUDJaaYuduF7dhxjKYgxBiwJAAGBECEBQsLxi4HGkPl/xwAREhICPncI8Ppv7dlY4Wadryi+29nmrL3VOVOTy64eB939y5R0Ss1sLrR19Jw707WgOtjPp7N71ZFTly1sA4ryOx5eHtnbfWO2S5n2JE8TyUAThSDF6fYzfHKvX/24bu2BSROlLcxd7ty6d//W6wDPfCVJH23FUAPVcPE/LWVETLOSy7ra10QGzrQ3s7114caFo5fDPRPC3NOW1u0qTVtpqpwoPyVcVyFFWz5WTTpUSz5ETdZdWsTE3yv28IG/aAL8jQEKIOQjJMSI/CFhHS91A4IYMv8rhm9OiWZZgiZZhkLCoYtbV5a721Toqx3wdT1hZ3HOwvSeT8BJZ9/5Eiq7YlKEZy/0nzy5aWHtTH+fqrLKVau3eXvNLp275N1d4fMLw6XRS02m+5mK+JpJ+SlNtIryzL138dOm1QemTJIyM7W7ffPOg9uvg33y1WT9tBVnaMsHSU22sTMNPXnofH/vwKola0K8Ao/uPrRu2fr40Mzu5i2fng8+uvwpLaJTfmqYtlyCrmKcsmSwipSvspSL6GTdiBlpl87fYamx+6AoAIT/ARhYDNn/DwwA0JBFiKVHv5zZsLzK17HSRGutvXm3qtxuTbUbLh6HTBwWTJG7nFHA2394/7ziPF+fOF/vzpa2zRt2BfrFejpFb+k89fD0l0Vpa+1lwiym+5qIeCj9bhrrmff04uftaw6KTJEyNrK4fvXG/Vuvgn1y1GS9NeQC1aR9teW9U2ZXPbv//unjF2UFlX4uPltWbWqpbZkdnFhf3n5i71+9L4jlC8+piEVoSMfoK8erSgWrSvmqyrlN/l09bnbe04fvIIt/xiBAiMCIGo8YEIbgx9gAfwrRCGMWIQowDC3g978/v3VVZaBbtqbiYn31ZjmxNQoyR41Md2kYN0+TPxUy80pBUZ6ZiZ3Y9Bgv15MH9p8+dcHVdcakSaoxocVblp4rju5wUIy0lAgwEnFT+pdpgk/Byyu9u9cfFp8mbWRodu3K9dvXn/u6pylLuWvIBahJ+ZhqzijIaD2y61JJXrWchKKNsdWezbtWL1nl5xJooW3vYh6wd92FzobT6lIRalIzdRRjjNSjrQxj9dX9Jv+unpZY/P5139jkHmDGMAghFCJIfqsbfmVgwL9EmQG/2g+V27eiGmJMMAyX4FE0j+T23Ty0o8DLeaaM2CoPu/ORgYdszHdqaR82tFopr7nT3mW1h3ukjJiT9PRID7s92zceP/2XtbPPhH9IWllE5Ka0hbsXmskHW8gHG0l5qU61ifcvfnmjb8/GQ+LTpMxMzG9cv3njymM3hzhFCWcdpWANGT89Jf/oGSVVBe2u1v7/nPCHl5PnrUs3Lp06H+4bNv03ccmJKsWZTQWpy9QkQ1QlI1Slwjzs8uMiFtiaRolN1s1MLf/wph+yGAH0bTeMewzfFM4/Y4AYYwwx5lPUMG+EoHkI8l9eO5Pv7eozZeKOmUH8jvrrkSFrVZVP2Thu0zVZY2JWZ6AdLj01SF/Ry0Y3Nze5unGhob3TVFkdXSNfJ6dEM/0ITRkvI+UgfXlfdXHn2YHFj2/07tx4UEJEytrS+s6t2zevPnKzj1WUcNZTmaEh668g4mxnHBXskWyi5Sg2SdbfI+D00VNnj52eHTxTYpKEkrian8tMd5sEVQl/VclQuem+sWENi2v3eLukSIkaZKdXvH/dB5n/GAz4Bz3Mzxi+RQoSAi7JF1AcjIV9L+5UzQpxmfjPZb4uA+31F6JCWqUlD5lb7TWzXGVsWKIqGzj9n05ykyy1JBwdjV383NTNzCTVjWTVbFU1PTTUfVTk3LWUfDXkvFSlXcMDCm5d/rh1w0FJcWk7G7u7t+/cu/nM3yNVRdpNSzFQRdJHbpqTkXqgnfEMdRnzaX/ImOpazMudV11c6evkJScqKzNNVkfJTF/ZU13aX1UqSGaae25K55Y1V0J8s8SnaWdnVHzpGUbwm1NiCQiIHzAwP5VFv2L9qrv2/hcM38MEBVmaJTAmRz88acqM9xSf1Ohh/6G9/lzczHppiZ1GxkfsHbY6WJWoybv9c4LJxAk2WqLhIS6hs4LVjA0nSir+IaohIW+lqeWjouShJO8uJ+UkL+UY6Jdz8fzbDesPSEnK2tnY3b11+8m9N5GB+WoyHiqS3sriPhoyfubaEVrybvIixtLTNNTkdP3cAsIDwuxMbFSklWRFZBUlNDXlHXQUg1SlAmSnu5bmrjm480FoQPbkfynnZJaPDAow/o6BhICAkPiGgf3pkpBfsf4PMECMxy6p/z60jiCALILCkQ9P2+am+SqINQa49a1fcTU3Y5GizDYTk5Purnvc7cs0FL1++y9nsX/MsFFbsmjequ42MyuLPyaLTxRRlVe20dfzU1V2V5RzkZG0l5Kw9fbOOHfh1foN+8VEpa3NbW5fu/n03ruZQQWqku6KIh5aMsHG6jMtdaMVROyVJKy0FK2MNK2TZmckR6dYG1uryKqoK6hrKxnpKDnoKPmryfjLTneuLt546tDTIJ+03/8hnZtTzuOQGGME4TcMJAQkgtT4xjB2PPt3Kwl/n4MjEBIARkjxhfzBofdPWgoznCQnV3o79u3YcLkod76c1BYz05PuLhstDYsVxZMVxNJMVeZ4mG5qqji8ZXWgh7u+lqGJgaOxrruhpqeytL26gquKgouUhLW7e/LFy683bt4/eZKomZHltQu37l59FeKVqSDipCLubaoRbaIRrSMfoqvgb6Tuqylva2fqs6x5zcLKRisjGyVpJSNtIxNdaw15a1UZV015f6mp9ovrtly/8NrbNeYfE8TzsstHhgSARZCFgKEBS8GxfsZ/AAaIfnw2+O3wR4gQn2V4BIc78qX/7ePmokxr8Un5rjY9OzaezM8qkhTbZmVxxMG2W0ulVlmiwVKrxde22MVsdX7awbbF8W6eUc5+0R4znXU8jWTstMSsjZXcdRVcFcQtfT1Srl99vWnD3kl/iFgY2Vw9d+fWxZcBrmnSk201pP1t9JL1laIUpnuaaUYFueU4mkV62EXu2nh8Rds6b2d/B0snXzc/K2NHFRkzdXk3LUVfkT/NF9dtvHP1rbfr7D/+SyIzrehzzwD4mikxgKUhoCCg0FjHYDxiQPjr9THfp8HQTzoBEmMKQRrQpGC49/Xj1tI8ZyXpXHeH1zs2HsrLzJeW2GFrs9/SfIOeVreh9kpbkxUetuWmuhsTY05U1yQYWM6x8ct1ne0hZ2s+1cRawt5e0V1PzFpd1CzCN/3WxRcbV+0WnSRjZ+Z649y9B1ffhfnkSP1poyHpZ6mVoC0XrijirSMfkhHTnBG7yNM+ennztpYF3XFRaemJ2SlxGZbGjqpyZsY6AZqKntP/NFpQueba+Vf+XjGTfpdKTch59+bjmDoPAYAgg8YSpO+n0ONKIIPxWCv7v2OAP2CgMWYQZCELGH7/u+etZQVOKrJZHo6v9+88Ob+sQElhranpPkvLA7Y226wsuoz0lpga1Olr7Y2JOZ03L1lRb66RR4XjrBnSNo4TjVzF7NzkXI2mm+uJmsb4pt7668nWVXsVxNTtzTyunrn78PqHKP+50hNt1cR9DJVmqksFq0oEKEz3ivKrjJlRZakXUlPcVVe2dGZIcmhAtJ/7DENtS1U5Ux1VNzUFF1VZx+4lu69feurqEPL7P0Wy5xR9+TjA0CyCEEOIIIMgg9EP4tBxiuEHj/S9o/EdAwEYkiEgIxz++KZhXp65tOgcT+f3Z45daG8q0NRYbmq238n5qLv7Njub5YZ67YZ6LSZGO0JCd0fFF2pYzDfzWewWn6UXECRp5yFq4ybtYC5qpi9qNMsj7vZfj/ZsOKQkrmFl6Hzx5K17l9+GeWdLT7JRl/TVVwxXkwzUlAlRmO5toT3bRCNMQ9YtL3VxYWa9rZmPgqS2gqSmtoqJhqK5gpSFuoKTiY7f/p2nH9x5amXq/s9/TC0vqRsd4vO5BGBYjCCCLILsOMeA/2dU+HEr0BgLWYagCQSo4Y/vanIy9EQmZwf4fLp68XhzY5a25jov771+fltdnDe7Om3zct/g6tRuYdZoYtps6dhs49PuGtUVkNHolZZmEBwg6+giZW08XV9zqlaYa9T9S0/3bTosOUneVMvu6ulb9y+/CnJNk55spS3nZ6oeqS0XoqcYriUbYqwWqasYoCbjHuiRGeSVqq1qKz5VTVZcU1fd0lDLUUfNSVvVSVvFcdvGw0/uv3ZxCJgyWaqqfOFQP4c7KvwZA4sh+HsKdPxhwP8zOH8Xs1IYEwxD0zQGzOD7txXpqTrTJueHBn++duVQU+MsZcUqM9N6M9Mqbc1aA502a/NGU8NyTdUUEdEUUdlaE6cSfadiY+9yh5kJel6u4qbGk7SUf5OX+5dcgFPQzXN3tq7eJfK7tKWu053z9x5cfO5jFyfyu4GiqL2WrI/idDdlEU81CT8t2UBlCXeJKTZKUk4qsvYy4kaSIjoy4roy4joqcqbaqvYKUsZSIrrLO7bcvvbcwyVYZKpsZVnd8MAoSdAIjDmlMQwAQ/jd8Y5rDN890t8YECIZlqUZTDND795WZ2Xqi4pkBwW8P3/28to1cQZ6wWKiSUoKc9RUUhVlU+QlE6VEc9WV5igpxkvK52iZRIirzpDUTtR3i9B2dJE3M5fS15XQMFDSjZ4x+/KZK2uWrpOarOhs7nPv0qMn117P8s9Ul7FVl3HQVfBUl3TTkPbUUwjQUfBTEneRmmYjI2KlImunoWyvrmilIm8qLaYtJaotL2UoJ2lgoGW/duWek0evmBk7Tv6XeF11IyGgIEQYIgQQAuA/HgONEMMCQFJQIOR9/NRaWm4sKR3r4vzg0MFP589tq57fnp21rmTezvLizfPy1hRkr85O3VNRtL+idHt+wc7Syq6c4uV5FRur29YvXLqirmNJdUtzZX3LwsU7Nm979+b9ptVb5EVUPWwCHl59yh0Q7N98vKNhTXPNyta6da0L17YtXLe0YXNb3fpFFd115Z2L5ne2Nqxsb1rbtHBV48LlC2qbo6PSXRxCstMrOjvW3bjycMOa3coKehKiCp1LVyOAv6pVv2IA/y0NGX8YwN8tlh/Fxd9F3RBClqBYDpfpH1zX2GwprxRoYnZu0yb49i315i3R20d+/kS9fk69e059fke9fcq8fQJfP2WfPqJevKQ+9pFfhskvw+SwkOKQwiHe6OeBoS99fM4oyzI7Nm1XFFN1NvM4f+QCKST5/QJuP3/oA3eohzvaxx3t5Y5+4Y1+4g99FAx85A/3cof7uf2fuJ8/8Ib6+ZxR3t6dRwtya/btOj3QOyLkMl3LNshIqijJa2zesAMjzNIAsmMbAiLwc2E0njGgb6nqj9+BOPa0kGLhKA8Nc3cu6bJT1fDSNzzc1Y0HRzADMYcPe/uod2/Yj2/w4Cf86TX+/AoPf8J9H8nXL/HICObwBV/6iWEeK6DJER6nr583OMAb6R/s/djZ2qEqpWquZdW2sOPKucsPrz949eDF45tP7l19cO/6wztXHty+9OjxrXcv7n9+dLvn7o1XN648vXz+0bVLz5487Hn+rGfvzuOFufOryhrv3XqKWbxl415ZKRUJUZl1azZhjCGACIzthv80DD96pK8y1rG8gkGIR+FR4e6lKxzVdfyMzfYv7YJ9w4Mv351YtWFvy5Jdi1t2L2480NKwp6H6QMvCv1YvPdLZtmp+2cbmxo2tbUvrFnY2Nq9sXbKsoam9rq67qXHDktb17c3pM2erSympSqr5uwakRaekxiRnJc2Zk5CeGpOWOCs9LiItJnxOSmxRRnJ5Ulxpwuzi+NnzZkXmzYrKTkkqTkmaFzMrw8HWXUvNpL25mzNE7d11VFVJa9pksa7lq74rcxEYCw/oPxsDABCOXdNIQsyjdrR32qtqh1jaHexajT733zt6OtM3LNraJcbKcaaZ5Swz03BDnZkWhvGOVmGWRo5qik7aGk56ulaaWtbauna6elbqWlaqai66OoHmxmE2Fq56BpqSCrLTpNVlVTXklKVFxWTFJFRl5VRkFOQk5OXFFWXEVKXF1CTE1CXEtOWljDSUbRTlzUSmq4mJqUuIaUiKqU6ZLDJlokRNZWPPu/5tm/doqRvISMqv6Fz9iCSltAAAIABJREFUbR/g7/az/uo/B8PXwAAQpCAix75zDGxr77SQVw23dfp/mHvPsKiybPHbmZ62bRXJlXPOuQooco4KoiKiYs6KOUcUIyYEERQUQRQjgmRQQBEVQUQFc7bbLBIqnDphvx9KbfvOff/3znTfmdnP+VBQPFWc9Tt7rb3CXrvq0BHwobPpTEmMyjOELg6lCwJpzDA2K4hODuMxQvh0DzrOhYpTkZxVFKKGRlNRKCoCUUcguZHIehLRk0IM5LN8hUIFi8ujMiUcgZwn4FDJDCJezucImQyyM55D54q4SgZZRMLxGRQVk6yWCn3EQi8yUUwhiVg0OYsmoxBZAo5iV3LGs8dv8nIKRHwFncrOSD+AWtDvGXzF8J9sov87//lrRTcACMBMKNqLWH/O35MhxZMj1NqaI0eAyfCiuSVt/pLkKbO3TZm+dfLElDnTU+ZOTV88a/e8SZtnjN21cNrWhMlbE6buWpiwfc7MbdOnpcyavXfu3B2zpifNnLR54Zx5E8f4umndddop48dtXLt245qVaxYt2JG4bsOKFfNmz1m5bG1SYsrKxcnL5m5dvzx12dxta5bvTlyXunLp1sRlyVtWp2xavWvp/MQVSzbWVFz++Lb3yOETAq6EQqJnpGciMPpbi6LfYfh2Aup/amH9NyK/pUExgEEANWGYCbUqqaN7M6VEkqeAU3IoHZg/wR9e/XKp9lnjpaeNdU8vlDyvL/nlWuWblupXjcXP68+8vlb24lLxi4vnXl+u/OVC+cvq8l/PV72urXlxqfrRjfpH7beOH88OH+wdEKDPO5z15NGjp/fv3b1+/fntO8/u3r/ddudm64Nbrb+2Xnt9++rrR60f2q/9eqv5lzt3fr1/59Xztl9+bXv3S/u7+zdf3rrx7OO7HosJyz10gk5hO9g7Z6RnYlaP4Zs9+K0W9PsogeX3SuqfnyB/DobvPXzst18DgH5XAW0CAMIKMg4oaBRXHrUwawfy8dH7u1fvFR97fL742cXSjuLcpmN7rx/f23wy7cbxlLYTqbdO7W09lnIjd1fboZT2A3ue5GW/Olnw/PSJR5WFT+9d6TJ9qmgo8g3Tefgo6uqrjUbznZa2GxcutZ6/ePX8perKi8VFFwtPNZ89frs4v7XiWMv5M7fKzjafKawvL77YVNLcUnijtfxWS939K/X3nz9519sFHT54gkygD/jZJm1PKgYwDMWw7+8Ks96TdSVosDY8/a5O9A/Fvf+EvW/Yd5nZr+EM7Mt76O/dORQcP5CtZFJ9ZJzS3JSuew2VaRvWh3nvGRG+f/zwpMFe89xFs7SsBB17kTtvmZdwmZdwuZdwmQt3iZi5Vsja56E/FhWVHR29M254+ual12/V5pzeJ1LSlRrBhbrzt2/fWzFvxYL4mfNGTY4NHRHgPdjPN9bXc4qP6xx36VR3fnyo2/QQv8k6lyFuqtBYn/ixHhPGBc6YMGzxpDErsjMKH957fSTnNJPGHTRw0M4d2xHE8rs7xL4+Vl8eqF4AegAwfbfz+D8LA/bb04F9MWioGYV7YAABAMDxA1kKOilEK6o5lv74/Im0sZEz8fabuMxkmWA+xXGqU/8Eku1ipvNSltNCuu18yoDVPPw6Nn6RTb8VfX/cQyDnSlTbuaLZDPriyIArNSeys7cTibZqtfxyw+WGumsh+sE6isqL5SLCiZz6s4iOGtt+evt+QbZ9An7so3boo6fgfAbaSH7oQ6b3lQl/0goGudNsXchO2hmT111ruH80t1DAk+BxuN27tlsgw98tjLDfY+j9iuE/cTZ8KwSAv5AAwGK0GDoNAAYAgIL9mVKSU4haUFeQ2XryQHKQx2YSsYAvPqVQZgkFOUp5obdncYD3aW+3o66KXLWoNMDjfIjvWaXiDItfLVJddvU7LtKspdA2BHk/qS05lZ2KHzTQR+/T1nLrRuPtCPcRvP48V4LGjeEhJOkljFCaYwTDOY7nNJ7abyjTdqiYM5LNCSc5uovs/ZX2IQpcCGmgzuZHQdyI+XXVN3OyjnPZQg6blZ21zwIZfv+ko99NbSsGAwDm3//Bvw/Dt1r6rzGX74LcmAVgCAAAMpp7Oruty4qCzH1iZ7sACbMuP6M1P2Onl0uqI76Uxq+TqGu0bg2+gZf9gypcXIqUymKNqkgprfXSNwX6XXF1axDIrwlUbRrfKonrbho7xd/7dW1ZUfY+qo1tqHf4net3268+Huk/gfoDWfwT15PiraUHSsnhAlIsBz9RiJ+mos5SMaaJWHEczlARO1pLjVE7RalJUWxnP4f+irjhCypLmlJ2ZhFxVJlEcuZ0AWrtrmw9qf63y5r8MQNgBMCIATMGYOybg2c1Jt+NfykG+DcMCPblYTECYC33hABALGaTsafbukn91IFMBcHRm02qOrC7PX9/hpfbAVunZoHqrtarQenS6OrV6O5zmsPf7+icR6Wdk4gqVfKLrtrrWt01nriRxm8RamvFuv0Mbpq3/uW5k0Xpe1g2DkGuwTcv3b7X+Gxi6ExBP7agD9UH7+nLiZDhQ4X4WK7zJCFuupYxV8OaxaHG0hlRQnaMjDBCZh+tJo/gE8Mojp4Tx6yuLG3eummvnY2jWqmoqiwGAABg7UHxNf352/UlZoYByHqw3VcG/ykYYAxAABgB6AGgBwCDdXmEwibYZACwBQC0LC/Hi03zpOKKt29oz0476OmWZ+/8Uu/3q29IDVdcwhGeV2hPsrj77B0OEohnhLwSubhWp7ymUV/lCOoJjKtsaa1IdYDJ3uWmfnzsYHHKDu5AB2+px/XqGx31D6cHz/Bz0Ln24QU4ugWzwzSEEL79UL7zBIHzFDFusrtogUoyjckaTsaHUfqHCGyHKogjmU6hdFzAlPgNNWW3kjdn2to4ajXK6upzAKBfl0NGAMy/x2CxgsEw+O9F/2/DYMGABQMwhqLAgn3Rm90AdGGgBwMGDJgBCmGICTMbAQpfPHNyqFruQ3E+sWbJ9Z2bcjxcThHJ9xXaBy4e54WS0yzuESozn82t9nCv9fY4yCAXiDm1HtrLGkUjj1dPYVwXyi8rdYcFgj2e2senD1dkpkrtcf4SfXNly+3q9ln+k+MYAcMcdAGDZHoHpQvOV4GLlhDHM+3i5OTJs0YfHj82XSge7ezgz3QcLHQaLibEsJwHM/Gh8TFrKotu7tp20M7W2UWnqawsAsCMYT0YZr0FE4ZCGGax5n++Xoi1r8+X4lEUQ38bmPX6N2HALBhmBFgPwLoA1oVh3SjoxYAZABhDzYihG8DQ9bKSCT4eQVT8sSUJtasXZ7moijisOhb7qlJx1ce7SKPeamd/SCx5vWrFy1VLk2n4TCG9OsCtWiupF/Mv8njNau1lF/0hqWi3v+vT8oKa3AwNHj9E63Wz+npbRfPcwLGzJMGLpWFDnSWqv5G8cK7u1EgVfTR9UKS7cNqJg7cPZV/38J7h7OwtZg4Tk4cL8MM4uKFUx5AQ71lHD9Zu35xtb4d3c3MtLy+yVvZgWI91hw+GQhiKYAhijbZar68SB18KB/5u/JswoBYMNQG0F6BdAO3GsB4rBgzAMGyw9HwGFnNrZcUMf99wCuHkwoTqBXP2KsWFMkGFiHPR0+V6TNQZf69lTvZZ7m69x/LeHDu0TsTYJqKeDNCe1PIrFILzUkGDVlOh1e4RcTf6ah6V51fn7FHhbEe4u9+uuXi7/OLSsNil6sDUgNh5Alf/foQwklpP8lYzItkOIX6qCTevPLve9CpqxBJnvCuHGiQgD+YSohiOkbgBAQpezPakExvWpNvbEt317hXlxV8tXC+GGjDUjKHwV0v8Xb/T76/fkUBQFEZR5PeL3f+Xm/0nYsBQFMZQCCBGgPQApAfDDCgwIsAMwSZDb5e5qxPAUEt52RQP98F45/Kli+oWzNkj45/SiguV3OMa0WEv7SYZb7LToOzIcFNd9auq4qUawWzqoPVi0m4BvlAtqFCJKtWyUyrZDgl3faDLw4r8ioM7ZE79Yj207Req71RULQ+LWql2zwoeusPdfxyRFWxHl/bncO3VpJ9VgS6jntx9dufOk6jhswbaCextpCR7dyYujE0YTneMFNKHJS7PTVyVbm9L1rt6lJYUf20KZcJQE4ZaMBT90uMU+WodvgKwvsB+NycQFIXRLxXHyHfBnT8Dw/c253sT9K3vJMAAQBGAQAAxAtSIoWYEM0MY1Gs2dHV9hrq7AQxfLy6epNVFOTnWL1tydUFCioR7VCM8LKUns/GreJQ5bFIc0TE9dnhvQ92L6nOzVPwxhP7LRMRkIfGYkntOKShXy44rpTulgi1hXk8unCrP2S21/3GEq7ijruxORcmywMDVcmW6h2eWn/9SoSh0oIOHM1dL01EGCAJdhj688/jSpWv+QSPwJBGT5sqi+DDxoTxyrIQR76WekbKleFNitp0tVaPSF58twqySxixWBr+LlP0XqVq9VhQgX+aEFYMF/VJ//50X9f9P4n+LAcMws9mMIIj1tdFo7OnpQVAEWBdL3384aj3dBwEYYoYgI2wxwRaTyYSaIQAhN84WJ7h7xhGItXMTLs+YukvAyBBSU/n4XQr2kZjBuRNHz9Kq1kUOeV5W9ri0aKyYtcxdXrNgYumI4Bwx47SQXat3OaNUbmEztgZ5P68/V5mXJrf7IUrNvFNbeKfy7PIAr0S5eJ9WleOt36KRzhbyN8SO2zp/bZhbRIA2tO3KneLC8pCwoRGRsfMSEseMXCLljiDYhPNIceOGby88emvrhlw7G4ZEqC0qPIdhKGyBEQuCoV+7J/0/B4oAsxlBUQDDMIpaUBSCUROGfTs9+9vM+GcxWB98FEW7u7uNRiOKogiC9PT0dHZ2fu763NXd22WAuwxYby8Mm5Av4aOv8ZjfnTKOAmBEW08VLfbyG08gnx4RUzxk8HYGKY1P2sFxPh0b/u54zq9njm8bO3Z++ODqfZn1WQfGaWSHZ44DdcXv9mw6qhQcoZEuurqVqHSbKNQt3h7Pq4urctIUdn+NVNHaao53VJ1eG+yVJOHlaOVH9KpdKkFqqN+tw3m/Xr+1Yd7qYJeg6jM1OQfyYmJGJW7YUlN17XRBw/CIlbY/+BFtoibFpuZmXp07PXlgP7qY71p2rhIAgH2/1MEABgPYCMy9iLHL0vsZ6v5k6nzf/fb1h5fP3714/vrD+89mEwzDqMViRlEIRc0WiwH7EtT8uy3K/wQGBEEQBLFi6O7uhiDIYrHAMAxB0OPHj6vP119r6bh5+9n163fvtD548/TD2yfvP73o6v2EmI1fvhQGwGz1eHpB89EzC109JzgR97m6ZykUO2n4HBVvBx9/acVs0HrlVUlRyqyERSPjMtckZq1ZNzcs+OiiWZbGStOZvBI//UGCU7lUXq5x28XibvPyfFZ8qnLfLrntD8N0nJsVx+5Vnt4Y7reBRy/QyU/rFSlienZEwLvSUsujZ7tWJg12DyrYn5+2M3V03OikDZvrL1x/fLcrcfkxXP8w4sChPtoFE0Zu83Yb1+9HulYZVFNe/zsRWED3B/DysaHj5pvrlx9fqum4UHGzuqz59PHKgweO7c/Izdh36EbLbQRBIQg2m40oaoERk9ncg33RS/8zif8Zg8VisVgsVqVkNBqtDKxv1dVdnD5z3ozZy5cs25owe92yeUmZOw4f2J57eM+JM3k1leeamq7cvX3n2Z17b54/60V7AACgo6gm0S9sIZ2XIpJn8vmHpdzT3spNHMfGdQteV57dO3vmGG//WSPH5Kdm5u1MmRQYuCDYu3bH+sd7t5UFeuZSiWUSWYVan86X7AkIfFVaXLEvRWH7t+E6QVvFqfsVZzeFBWxiM05rFCWuygwB/WCg962MzPL0AyMCQyNc/atPlZ/MPTYiKnpoxLBNiSm3m9/u2lRGHhRJd4hlOA/nU6IZRH9HW3lE8MTaymbYDD6+771140FjXWtNafOxnIt7kgvXLcteMHPXjPGbJo9JnDh65fCo6QG+0T5eYeGh0YVnygAAFgtsMhlR1IIgJrO5G8PMX5MT/8OO9v8ZAwzDFosFfNVOVgVlfaukpMzFzdfeiUOmqsl4JYug9lVH+SoiAzUjhgVOGxezbN6s7StXZW1JPnHsyMW7Lb+Y3ptaT1TuDIvZrnLPFCuOSiWlHurTXrJ1DJuzU0eeXj7fl0pmDbQbGzXyYkVdbVF5mErt6jgwMdznTPywfI3kFJ9Tp3MtU7nt5Yn2h0e8OV9deSBdYds3UiW8VV1yr6J0Q4D/Tr7gjEJZplbkSwSHPN2PTp0xLSCUbDMoVOnVfqn1WvWlCN9g/CCCv0dURkrRnMl78f3DecR4gs1g5/6+NOcALjVg+OC5uQeqrl18ciK/dsXClElj1owetizcb7ZeOUbCGsIiBtKcfajOXlRnPY2ocbRnD+yP12l9zpwuBQAgCGo2mxDEDMMGM9SFYabft/n6AxisxuCb6FEU/Warr1y5FjE45ocfiX1/Ytn2Fzr0FbAcdOR+ctJPKpajF48cIhPEyGSjNboJkRELVs3ffTz95P65G1brAtJ0PllCWYFAcE4rzlPQt/AdUwJ1S3xcFTYDBc7k8SPHlxdXl54+N9jdQ+04cJKMtUUnTmWTzoj5jR6epSqXFDYvPSzs18ryisw0me3P4QpJ2/nqjsrKRN+AvSJ5kURZKVcUyqWHdNqtASFjdR4yAi1C6V13oqLudEW4e0C/Pv3EDJfRQxfpVRPtfwoQUieSB0U6/ezPwIXyaWGe2rHxMaumjN0Q5jdNJRomoEewSWEUhwDcQC/7vm6DfnSx7auz+0lr30/FJOsJONGggeQJ42bdvNFhlQ+CwBaL0WTuMpk/Y5jxu06cfwyDdR4gyJf21BAEdXd3m81mAMCbN+927sxksN3s7VVcup+IGijEBzAHeDAG+DBsgyi2wSTHcDu7wAE2Po4O3kJqwFDdiFEC74kEYZrSM1+iKhQICkXMXD4uS8tM0vLiWCRvMilA6TJq6Oili9YsXbg8wtvHg06K5ZNXyhg7mc7HhcxL7m7nNJpkJiPZz+dZ8emK9BSprU24StVac6G9sibJP2QvX1YmVl+QKkuk0sMq1UqldoLOI0ysiZC6J81ctilhRZDKnTKAJCKrdaLBDFyw489BAvJ4lnMMwzmKT41mk8K4lFA+PYzm7OvQzwVn4020DSQNCqHYhdMcBtOdhjDxURxSJJc0hEsJVYgiWHQNl60+fOhUb68ZQazxJdQCG03mLoulG8O+ndH5J2H4NhsgCOrq6jKZTAiCwDBy8WKLi/uwAQMVHGqQmjdMQhoidhoixY0Q42I5TrFM0lgicZQTLtrRPtjhJ41goNK1LzN2IH2vzL1E61WrUlVJOYVSymlP4W69eDTVWe9o7ytR+bn5e7kHerv7uspkYgfbcIp9oo6TKWccFVCrdIoirXILk5rooXtUdLwiI1VsZztY59pccaGj4sKW4CEpTGGVRNsgU5cJRUeVqkU8QQCepHOiBHFVcZ5hQ3U+epZEiuez7IRSup+YFsVwHMoljOUSR4sZYySsODZxMJsUzsSHUh2DqY5hFPvBNIehTKeRXOIYIWW8mD5ewhgnZY6VsOIkrOFsqq+9DUet9G24eAMAYDBAFosFw1AMg1DUhGHGL5HmPxHDb84aDBsMBgiCenq6URR+/uL9mHErBtnpSA6+anasBD9Mjo+V48bybEcz7OLZpGl06nQWezqfM5HpHMofoNX0YcT8RN3N09a4+V1zcb2sFNRp2MUunCx36RQGUf7XPjJHkrfKa0RkXExUjEYgIPTp4z7gr+t1rAJP8Sk5o1wjKlRLtrAoG7x1T0pPVRxIF9nZDXF1v15x4W5l7bbQqN00wQWJ9ppMXcnjn1Qol/J4ur792H/5MVygWjZywrSQoXo6jz0QT+5LFRD0LvxRSvZENi6Og4+TsyeImaOpDmF0XATdeTCbMEzKnCggT+ARJgjIU8TUGRLaDAl9mpg+SUyLF9JGC2jDnWw0TnbCsXGznjx6BQDo7YEMBhOCWGUNYcAIgOH7Q2v/EIbvGWAYZrXYKIp+/PjBbDJ8/NS7JbmAzgy37+cuo8SInWPkzmMFNmMoP4wk9ounOc4k4WYyGHNkorly5hilU4BHX3Hcz8wdLGWNi3eTWtMk5TSr2OViUo6MuZhF9e3XT9HPKcZ7SPqWvSlJyd4SqbDfT6FO/dfKyGd9ZJUu/PNaYZGcv4tD3RHo/rz8ZFlmqsjeLlzn2lJT11FduykoYi9LXCtWXZfIawW803LJCj4nBO+ssrUbqXE9s33PkfVbhqi0jP6DeHYsjoNSyYxyEU6jOcRQ7YeL6fECyiiCTSjFfjDJdgjdYbiYNlVEmcEnzuATZvLwMzm46RzcZDZuPBs3mkOI5ZCibfspxXzftJTczo89AACzCe7uMlgxoJgRRruwLyfWGr5Ey784cf/sSsm6QsUwzGQy9fb2wjCMYZjBYEBgyAwhZ8+16VwmD/ybXoiPUZLGa4kzJHZTOP2nch0WCMgraaTFZPJcNn0mFzdSPNDX80fp+EGCVJ6u3s33ukLRzKXck9CbhORcqsN2LmeNyjWOrZodHJe3ZX/qyk2BfPEkN11igG6LjFLiIbqo4zVo+KVSzj4eZW+w+7Mzh4t2bxE52AZpNS319bfP16zzDzwgkFwQiq+LBI0S7mkpZwmTOEUtGa1Txru7nd21s3jXroTIwWEKVbDSS4hXcpx8JfQxuP6RuP6D+ZQxItpYqsNQlvNImkMM3SFOSJkhJM3l4eeyHROYDrPodtPo9pMZjhPYzuP4pHghddSgviq9Lrq6osliQgAAFgju6vyCAUZ6zJZPKPbnYYAgyGqQURQ1GAxWDF9jvChkAddvvA8LWz7gr3qe0whX5kwXcoLCYbYKv0xNTxJR1zEoK4mk+XjH8eSBkeL+Pj79FFPtpQfEHpf0fjcU8ltsylM+9b6AWkLBHeIJsr2C1+vDlvoM3zdrdcr0xcN5oh3DB+ePCksRkUo17ItyxlUlt0rKzmQR9vnpnhbmFqVtEznaBOlULRcvtJ+vXB/gd0AguCDkN4s4VySMQiljJdNpha9uXqB7vFZWkLiqYO3K5UOHJIQPnhw8VEmUU35WCgjRVNthRJshfNIoKXM8Gz+KR4xn4+KZTuMExBli8gIRcREft4DjmMCym8W0m8Z0nMzFTxJSJkqY8bhB+sjwqXfvvEIRgKKY2QQbes0oimCYxQx9Npo+/skYTCYT+Lpesi5erSTMZovBCB49NsaP3Wz3kyfLfqiOMUOFmy6xnaEhr1QzkmgOi0n4JRTKQoLjeI5TjBs+ItzOdYaDPEvoUafzvqlU3RNwn/HodzmU6xLhCZ5gG5WzQ+u7SumbETP55KxF8yTy7Z6u2R7KfUznKjmrTki9quBVyXhpVKdUT9XLmrOleftFjgNDXVUtF8rvV5dtCw7Yx2bVSYStEu5lPrlMxkgRUZI8ZLPknAlCRumaZUfnzZqrd5nr5Z3gG+5FkPL6ibXUSCU9joeLFhJHSmjxbFwcGzeG7TSG5ThWSJiqos/X0BYrSAukuHkixwSBw0yu0zQuYQqXNJ5LGcmhBs+fs/HjewMAwAIhZhOMIiiGoShqNpo6DcaPKNr7nZX+YyYaQRCr+/ZtWI/BhmHYaLKYzeDjB3jdmhw+PZpiEyJwjJXjJ0ucZkiJi2SMNXT8QjJpAZWaQCdPVDLH+lIjo53c5zqrM9huF1TeNxUu7XzxPS6nlc1oVsrOCvg7nHH7JMpkoeKAl//Z6OF7ZNIMES+PzzzJojTIBI0ywTWdqkwp3Ukj7vFyeVN9riLvgMBxQJBG0lxR9Kj07C4/7wNczlWd+rZKeolNuiBhntUKD7iIVvFIK4SMs5PG5sWOWK5QLJapliq9JnH1Qc5KN5xeT49QkiNF+GghMY5LiGc6jWbYj+Q4xSqoE/SsGVrCJNmgsbJBk+S205TOs2XkBBFtFoM01tEuWKselZF+vLvLBACALajFYo17oggCmcw9RmMXipr+zoX+74Os/3C+werNWQ01BCEAAIsZzc89H+g5izjQl/RzsJw8QUmdJSDMFtAW8ZiLafQECnUKhzleyYzROXiHDJDOcpCm0bV16oBmqf4qXdDCEV4XCBpk4iqZ8LSQmy/kHeSzcwTsoyLOCR6rmMus5nEahMJmmbxZpWny9D6r1e3gcvYG+Lw+c7xs704hziZQLW4uO/u06PQed302l3NN79bhqrvGYzWK2Jc04hKNMFfKOiDnHdJrDri57lFqt0u0O2VeKW4RCXw3Xxu23lGlw/nKnMLFuJFC0ni6QyyhfwRtUKiEEKklDVM7DFENGKIZEKu2GeeCn6mmzhXSZpAIo3782T04bGZZ+eXPnT3WukWrloZhGEURGIbMZgP2uzbSf0ag2zqsDsQ3DBYIAQAAFFyovhUXvZxi60Ue6C8mxalZM0TUGUzSNAZtJokykUwbw2WO5Dr7sf/KU/VxivuJlMJQX9KHXxa7VeKYV9iiFqniulp5zUV5US05J2KcZOGOkWxP4GzKyE71NFILl3tHLLshkjdKFJc9fM66eewQCfcF+7/Izzm3Y5Oc4jzYXdNace7XkqJMT680EvmCXH5Pr2+XS2+KuQ1c6gUBrUbBLZSyMqn4VDLpoEByUuNZrA896x21XeYxxpkVPIjjPlCps/NXOw8XOcdRbKLsf/S2/ZsG31fF7q9zJYaEsscEUiboncbpCJNFuIkUx1GOjlF9B3mMGrf8enOHwWAE4AsGBEEgCPqqty0Y9l0t45+YffuvGCwIAmNmM3r3zq8J07YwnD1FlAgeLlJCGS2iTSDYx9jbDft5YKiNXRAR50+307ritRFk8RQcZ4/A5YJH2HmBpgzPaBUq7srVt5XyG0pxo5RzXkiuYDtW0u1q6Q6X6U7Xafi7PPZDiaSFJ7jA4V500xd7uu+U8DNCfV8czS7dvVXNIofptc1571dLAAAgAElEQVTnit6Xlmb7BiQ7OJ9lce7odA9VinYR9wod18jBN8kY58XUUzSnI0TnM1xurca10dW3RuOTJ3VJYsmmOAojfhL7/OzuahumdBzuKZnhr5+tUcQyCHrHH7k8R60bLUKDi1I6DZcTRrMdYwj2UXhipB3eZ+a8zY+f/votB2OVjBUDAAD9cgzQ/2r8IQwwjJiMaFcX3NVp2bRuP4/speVFMe39mPbBHHy0k024vV1Yv4G+NvbeHFaIj2boqnGL0qcs3OYdliJ3O6PzKhXKz9O5D2TqxxLZbR6niU1tYBMbeIQrQmKLmHxHSrsnobdzSQ/5jEcSfjObcYFFu6TXnPPS7hTRM0LcXp/JqT20V8dneMokDQXH3xad2+8TsANHLmSyWxXydjH/Dod2h0++IyK1iUgtUuo1Gb1Rwr4s4l7m8xq4/DquqEKkPiZ03UbRThugHPyD1uUHN1enyAXj92btq0vecTJu7CKxxJdOUdMcNcSfXdiOIXxCNB0XSSNHsbjDiHS/VYlpXd3m/yKZbxj+ofHHZgMMm82oyYSiKNiXclTC8pbS/Ag/q5x/VBMHelGdw3Taqd6+CZHDli9dnJaz90TLhWttx0sOxU1YxxdnimVFCmUtl9/G5txjMDqYtDY2tYVLbuETWwTEmyJiu4h0X0R6wCc+EVIfCunNLFIDj3bFQ3nOQ7qD57zXV/JrxdHGkmOeMoGrQFhXcOLF6eJUd+8MFq9cKLkuFjXTyTfIjo9F1Gdy6n0hrkNCvKek31OybonoLUxyM43UwmTdEKsvyb2PMNxXD1SP7qN06SNS2XlsWZrbcbvzwZP3ReevbE3PXbh625jxS3y9JyrEMRTnQNv+emdnHzo7hM7x25Wa+y0zZH32vy1e/tEzK/8QBsgCW2AEQVAEBaVFtUMC4qh2YqaDWi+KCtZPjItevnH90f0Hqs6ea7l3973xkwVD0NfXb+ZMnpxAp2wX8Uu83GtlkstEwi0i/gGb/kDMuStltYnIzTznZo59K8u+ne34iE94KiDd4+BbWfhmCfO6h+ycK28323anhvysOOv2xXPxYQGjg4NuVlQ9PHZyu0qXK5Zd0mhvSMXXyM7XcTaPeYSXUvJjgeM9nsNdnmMHz6mdjetgER6wKY+4nLtC+TWBSxHDLQ2nX2rvGfA3oeBn/sqZ2x/ef4cA0IlhLwzQvXed9S339+eUz1uwOyRopoA/mEjyoLO9wyInlpTVfpXJlwi0NcpgXc3/6zBYYNgMQQajAUaRN68/7NqYSrXnBLtE7ducX3HqyuXztx7e+/XVL50fPpu/PTWf7t7Jnz97No+erJWUDQm85Klr4jLbGdT7XEaHkHFbTG0VEVpEzm0i53si/GMx8amI+IiL62A63ubg2hWsFjdBmZaZybPdwu1/N33160vF+1cvObxpw8em6+2Z+7eIpfkSaZObW7tK3sogtpHsHrKdnvKdHrIH3WUNvMu06WDadjDsHzCcnrKIz3msW1TmBRy7kuVaJB+cpRo5Fq8T9aUmjFnUdvMJBgAEQBcA3QB8RMCj15+vtj4+V9q0YcMhv4AxLvqIrJyCN2/fYxgKQRAEQd/k/i3e8y0m/S/AYDFB5l5jL4zCCGI5d6IoxCN4Z2LKrw8/fimcRAGw7s1AYQQyAhTqftpxJnHpJAFlsYR+0N+lys+1w0P3VKO4L+O3ihhNItJVMa5Jim+TEe8ryI8V1IdC/F2WYwfTsYNH6JAxrinoNRpGgZywkfTX6skR70py7tWVvWi99qmh/vzihclCfr5YeEWnvq2S3OHR7rLxDzjO99l295g29zi2j4XOT8SEhzzCPabzfRruAYt6k85oZIquaPwu+MQcdo+Jx8llPxLnjk1obb1vANg7BHqFGD4AxFqx1AMDCwoePHybtDFtZOzEy1euAQBgGP6Wov8mJRRFranifxEGyAJBsBlGIAwgDx/e3Z+6d9OqxPaWO8ACkE6L4YPR2AXBMIAQ2GjuQeAegBnhj8/rsndPdxNP5BFWKpiHdKKr3m4dHro2V0WTVtigZtUrqPUy0mUpsVlKbJOSbvGdb3GcOviEDiG1VUi5JCDW69jlrpxkQt90DePOvg3Ih6dY97um7L3pQd57pPxjMv55hfCqiN3Kp90V0ToEhNscxzs8p3tS0hMN86mO91DBuS2gtzHJzUzqTamkzdOnwTf4uGvgRqH7CEdOIEW8Y+WmZ09fGgDyi/Hzr5buToBYe6S97ew1wwBBQXXVxWnTZh3Ozf3w4QMEQZ2dnQaD4ZttsErJYrFAEPSvmg0Wiwkymiw9ACBHjx6eODruZG6euccAUGB429n7scfQZbJYEBi2GM1dBsM7yPgOmF6/vFl3asuy5DGDl+pFi6iOm3EOhxnEUo2w3l97MUBT4ykuUzPKZeQ6OfWqkn5NSGzmE9tlzHYJ6wqbWMslXnYR1ntIM+l2ic5/q5kfD163gxftOdNHL2Y6ZWlFhTpxmYRVwyFd5VPbpIxrXOcmPv6WinVTw7kqZzRImE0qUZuruk2rbpDJKuTiAoVoB4exkExJ4IoXeQVtmzb3cmllb0+3BSAfoe5OuOczZDCazWaz5ePHLpPBDAC4ffPWxAnjJ00a33D5EoIgnz9/NplM33SRVfTfv/4/xwDDsNHc22P8DAC6fv0qrVxaeCwf6jUAo9n0sRPACAZbEIsJRc0I0vv58y/dnU8Ry1sAve19cqOtMOfIkmnrPDULiPhEkuMeEW2/ln/QRZij4+XrOKe03HIXfr2b6KKCc1XOu62V3lSK6tjUOhH7iruqTq84KWNtwvc/FOL6PHfXk7yUrQHq+dSBx3xVlX6aMiWvUkhrlHOuKbnn+cRaMfWKq7hWJyoU0o9xaKelwhK1ukSpyReIUji0tVxCAgeXoBRsj4sp3b2ro7a2+9dfMIsJRWELZrEgUG9vt6GrBzVaEAOEmmEAwJ0bzSNjhupcFPlHcwEAPT091mCPyWT6pp2sUvrXzQYIMllgMwBg9eqlUiHn6MEs4+dOYDSaOz8BFAEWk7H7g8nUiWGGXsO7rq7nkPktAL0A+Wx6effl5cqbuRlVSxcciYncoBZNIw6a6NB3AdV2u5Kd46E44aEqdlOUaaV1OmWT3vWKTl3G5VxQKS556su0ynJP1wwRax2fnBKuPxQfnuQh3qiknwrTV4V5lunlVTpxg4eq1lVaruKdlbNPKfjHVKJcpSRbIU0RCpLItJX2hAU2Dsv5zJ1R3tlzRpWnrOuoOP3x0W24+z1m7Lb0dMEmE0AxzILCvRDcZcS6TMAIAwsGALhzoylmxGCJlHMo5wAAwGg0wjBijfx3d3d/cxr+Dwvrv8cAwzAMWxAEBgCgKLJr11Y3rSJp9YoPr14B2GL88AEzm4DZYOz52Gv4CMM9FrjLBH00Gt5bTJ9QSw+AukDPR/D+Fbh762lx4bmN61ImjtkaGbLOx2U2lzKfSd4iE23nsXfSqRlM1mEO/xCdvdeZlMsVHpUq9rG5+TrXQ26uq4WsGXziYlf+Rm/FNr04zU2S56XJUQmyhYyDQuZ+LnW/kLGLRVpNsF9OclrLZa3gcRKVyr0hEfujR6XFxB1bNv/aiX3Pm84h79oB9BbAnzC0x9zTafrUiRjNALF2gwKgF8E+Q8CAAAgFALQ1N4YEe+lc5SdPFwAArG4siqImk8lqJP4hkf5vMXy/b+JbyTjydaAYCgBmgU1nThcMCQ0aMSSitfEKsFhMnz5iBgNmNqGw2WzuMRi7YMSIoGaj4bOh6yNs7gUABWYT6O4CBgP8sbPr5au39+49q6o6sXJFHJcT7Yxb7eK2WqJcTueuoXI2ULhrnWir7MlJJM4mhnAdjbdNot7t4rlOp01QCmYpeSv08hUq4TIBc4tKsknMXUnGLcPZr6Lgk/isNXx2Ap08nUFNkEri2ayVfv4NKWmv66+8v9Px+cUDQ9cTi/kpwN7C8Nte02sI6jT1foa6jKgBBWbwW/asB7PumAEAVJQUSqXc8CFBly7Xge8qV6wC+Ucdtz+E4TcSKIIgFgS13Ou4kzB9uojN2bdjl+FjJ0BRYIHNPb2wCbKYIYPBaIYgo9Hc29sLQ6ZvH27q7O18+6nzzedPbzp/ffSyqahi89SEKd6ByeOmV21NrVq/o2zJ+pKZS0+Nnn4oLDbTP3q7a9BW16C9QcN2+0culbuNpbNHMOijhdwJIt58tSLJ12d7QEBKUPB2L6+dXt450dHHxow5OW3a6QULzqxeU7R9+7ZpUxcOicpave5ufSPS3QNbet52PXv58d7d5y3P3nUYsU5rHBTqsRjfI9BHAH8A6EeAfQbA+OUffvPql9UrlxLJzgkLZj198RgD2DcM/8Qmnz8NAwxbIMiMYZjZaMzO3C9kcyODQmtKyk1GE0AAbLCgZhggALZgFggzGBAYAQCAz597Xr56/eDBs+Yrd6qKL5w6XHhwT87m5VsmRo8PVfmmLNrwtuU+eG8Cb43gaSdofWasbn59vPpJzrnGbVlViXuu7Dx0flP68sBh2n6Osh8HBdK4oTTuirChlRt3VG9Ibtye1pyS2b4/901x5fvK892XroC7D8GHTmAyP2pq2jhnbrSXz8JJU49k7j965FBWXsapiuPZJzILSo+03r3+69tfjEYTZMTMnQD9DEA3AN1fUmemXsvHt5/yDuW6uGhYfFZ2brYRMqAY+i0V9o3E/zmGv4cBIzBkgaynmLY23xgeNZyKo0wcM+FSbcOH150Y9O1TAAIBCAIICt6+g8rKG3fszN64ae/25Oz1K3fFD5/h5xIhZmjJDhx3sXf54QrwLTjWC8A7AH6xgKe94HGP6c6blxfbn5xvfXHpTsrCJLkTl/xXJzVB4k5TbZi05HHl9Zc1Le8v3ja1PsEevQPvzaATAp+MwPhVX0OWgswDbjIZnUBUSiQ6jSY8cnDSto2JW9bMWzZn9frlWQcPXLna/OmD8Uua4Ou+vu6PoLHxdlZ2fljoYFt7u5CowU2tLQAA+Df1jPxDIdU/FQOGwggMmb9g6Pz4OT01g8cS0kisyeNmZO87cr3x9qsX7ww9FsgIfn3Z3dz0oLKy6VhBXfL2/BUr07Yl5x07Vp2RdibAa9Sgvqy/9HH6qQ9BJwrI2Hzk2sW2xtqW8+cunTtcUZxVWpJTce5wReGhsvz0k+nbslO37N+/+/DEkTN5JCXdQcq0V7DtFTGB49PXZx3cnJO14cCptBM1BefLT5wvLiivOll+qaSu4fyVaw1Nd2+1H0hNl4vEP/Xt2+cvf7Ed5ODjFbQpaevxgmOH8w5uS960avWqxMQt+fklTU332m+/vNP26mrjg5qa1tzcmlkJiV6+4Tb2TjQOOzltz7PXr82QxaqU/xUY/lseXzFgMAybTWYERlAYNRstrS23Jk2cYW9LtB1E8tKHz56xMiOt4EJV69WGB8fyapYs2D5s6OzY2EWLl6Sm7T1XXtHe3v6mqrwjPHjqzz+wB/zAItrJRHTvUPcx8dHzxg2bGxU43s9lmIcywl0V4a4ZopYHcbl6Lk+v0oZoXcI4PHcGzU3ICmARvZh4DzrehY7XCmgeHKKLiusX7DrcXzfEReIb4jEkPnrS+BGTJ42asnTesjGx8Swmj0iiOTkT+Vx5TGT85rU7Gusanz15XHuhZu3adb6+Yb6+I2fM2LZmzbEVq45PmronasQKr8BJdL57358d/9bfJipu9NW2W79+/Pjxc9fXfSXf5PF/j+G/J4GgsMVi7O019RoxFPT2GPPyTnA4ij59fiDgRUyG1tMtelzckknjVkeETFdKBjMonlJJxNCh86fP2LZ0WeaG9VlzZ20XcAL+1ofhOEDKo3hyiO7EQQrCABnT2YVH8WCS3HCOcmdHOZXuxuC4i1UhWq9hrn4xIdFTh49d5O49lsMM8XafEhezRi4Z2qcP1d5WxaL704ieNGcdm+SKsxEy8AqNyFfF82ATxByKmMOQkghsPI7p7EQn4bhiti7cM3rprKU7krasWbZi5LBYKplnM5AnEAxz95yvcZ3P4MfjGEPI/GAiV9/nb3aDcOTlGza9+dTTZTB96upBEfC9ff7nGPxhDF/blBq6P5t6DQAADAXtHY+Gj5jYrz+JxtDa2vJsBwpJzlqcvdq2v8z2Z7njIBWN5CWVREolUQxGAM5JZ28jtx0gpuDdJJxgKTuQQ/Ig2CiENF9f1zh/j7FxMUt8fcdJ5OFRMfMiY+ctW5+5OfX4tIVbd2aeLTnfMWnGFgLBa+6cjKN5N2JHrhswUO3iOm7psgNjxqzTqkYOCZ3t5To6yCt+SOAkBc+fOEjAo2pDfEf6e0XjHHkUgkTC9RDR3MRENd2WQbMnCmhsHo1nN4DY728sB3svEiUaRx5hR4geSAghcIL4mgg7skjnHZR3/GxXjwVGgMkMowj2b8DwX2GgqHWzGwwZEYsFgREYBt0GaOPWdBbPlc52Y7K8qGR3vIPWaZDayUY76Ef5oJ8UREd3Fi1ALIwU8CKcnVxsBogF3IDYYYvjhi1WiSLETH8XSeSiGdtTt56cM21zfl7d8pX7vAImrNucN31B8t7DlQXFTdPmbd2fV/PoBbJyTTaZ7JW590Lzla74MRv7/awKjVhQUX13156zYWELFy3IGBu7bvGcvYtn71EJBss5wXOnbDyVd2n7pjylLNTHY9Sqhalr5+6J8ZsgwkuEJK6GL2fgGU42VJKTlk6OwBOGOuFGEOnxdviIvjYaJ5obU+SRsGjN7fbHkBkABFjPUv/jGukPY8BQgMEAhQAKWUy9vb09EIwhAJwprfcOGuVAUDDYPgJ+GIcRpBBGB3lOd5WN0klGeajHqSUxI6NXJCUeXbhwj95jlF4/Mj3tRMqOI1J+kI9L7JY1GZer20tPtiSuyOy49eb0mYa4cSv3ZVWsTMzKP3n5+Omro0YvSUk59fwxtHtbgac2pqao415L76joZf1/kowatebeg97jJ5tiY5OSEk/NmLRr9+bSnRuKfLWTEibsKD7a1lT3Pj/7yvQp29esyC092XF0X/302OXTRs5OSdq5acX6YM9Af7fwWROSlszNDQvaQCHGsznTefyJP/d3+clGrPcamp9f1Ntlwb6Wfv07MXxHAgWoBUNMwNLb2/Xxc9cnBAMwANfanoydsvxnW8FAOxmZ4iPgRAwOnLd8zoExUWsmjty4dFbm6OjVWxJPXq5/VVV9b9Gy1MDQiefK6kvO1cpEQWNjFrc23nvz5PPBvaUr5u++df3J5Usda9dlZ+4v37Q5r/B006mCxsnxK/dsOnKn8WV+WvG8+DVXS9tv1b8YEzmfaKdOmL79RvPHI3lXp07evWH1yWnxu5LXntuxtmRsZFLe3qaT2bfWLzm5dO6RdSsL8w62lZx6sn75kcjAaftT8h/feVJVWL5uybpta/acO9pccvzpghkn6LhxdOJ4rTKBQgpxsFdNGr/4xrX2LxEOs3WXJfYHHbc/AQMAGAKbjb2fYHM3ZOo1mgwWDIMBeP6ud83GA3iqi72z2snZTcgbMn188p6NpYN95sVHJx5Oa9iw4lhWal3azrI9KUX5BQ2z5m0prbxWXX09LHjCojnJHc0vX97v2r/77OLZ28vPXrt66dHR3PpjeZe2JuWVnGq+duFp2uaCvJTiqyXt5Tn1GetyqnMvNhTenB67XMkN3rzmcMmZO/tSq9evKkhOKk6YvG/NgoKtK4tXJxwryLw9d8J+jWCCn35xdPjm1B2NRw/dmRK/PcR3yokjVVXn6nck7Tpx+MzF8hvH9tevmH1kWOBmmsNo3IChAsYYFjWcTfdJ25nf9bEHQF9jG/BvGP5pAH8KBoBYoN7uTxbIYP0dhGAQAnogkFdQpXWLptI87Ww1Yn7k8gVZBdnNk2O3LpqeWVP04tDexo2rzrirJ/p6TcnLu7Q3vai0rK2k+MbChG3JiYfry+9er3txcE/ZqvlpWWnlRcebK87eulR9f/PanLzM81Vnbm9Znl2wt6o871rZoctVOY2F6dWlhxpmxa3x08aePHypvuphYcHNk3nN+3ZXz5qQMn/KvuTVRbvXl+/bUhuin69gx00auSM+etvuzbXFJx+vX3l0dMyKw1nlG9emT41fUFvWcvPKL3s2Fkb5L3cRTefgR+EHhJEcglmUIA+XmPPlTQAAAAHMgFlLUrGvSunfg+E3HigKQxCKfvF6LTAwGgEKwOWrt6OHzqSQXAb0E0kFQ9YuPdxY867kxMPSE49bLpmOZd+aELuTaBfAYwxevSy74EhDXfWjolMtqdtO5e6rPl9893zRvew9FZtW5qZuOZuy+ezZ/Man7e+2rj2UvPb4xhU5frrR6ZsLD+2sOLKruq3yl8KMhoLUC5OGrghzn3C99tmrh8aOlu4bDe/zDtRPG7t50Yy0lKSzW1edyNhWOWFYUkL8rovFT2rPPqo+8+JmY2/JybY505P3p5VmpZdu25BbcfZW9bl7p/JaN68qHBq0Ss4dyyYNpuL8ODT/USPmtbXcB+DLkWPYlxYmvwtmfK+g/qEp8me0PPxWEogCGAImAwAAPH3yy7w5Sc6O0h/+QhGwgpbOy2i53NVyube+/N2VCz35B26F+S7v20dDcQxImLKjqKCl9GRrwaFLpSdulJ9sO5Vz9dyxG2dym7atPpq2pWhFwv59ySe7fzXuSz59YFfJ0f2VoyOXZm4v37H65J51hZeLnu1NPJu67szccdumxSZeqXx84mD1iUOX7rZ8rqt4cCCl9FhW/Z7Np2aP23zi4JUty/PXJhy4eeH1yzZLR6Oh/ET7ivlpof7Tdm87c7vlTWHBtaVzM/btqr5Q/urQvsujhq5TCEby6GGOg9Q0otuKJbtePH0DMGA2oigCEBiFLQgCI/8RGDAMoCjArKl/BFjMAIYAAODTh+6UnXlEvOwvf3EWcgLnzdxVfvZB5p7a1OTqklNP9qc0xo/YzsQP1opGJ68rKMpvythxNmt3SUPF46ozt9O3FZ08dLm6sD1xcXbKxtOzx29bMHXT/ebnqZtOnMiuvt/8S9buyr1bShZNSVkxc9++jcVThyfOi09eOi1l5ey9B7YX++tGDQuZVXy8qebc7SvnnzbVvVizKD1IH3/iYMPh1Oq1CRm5KTWnMhsvlzzbv6PEQz1Syg/btfX0x9dw0clrwT4zNq09dfpo27L5Wf4eU6XcSDbVv98PHCbFLSvzbFenyQJhXV0m2ILBMGKxwP+Fwb9zNnw73QdDAAwBq36CLUh5yVWpyHdAP5peN3zp/LSs9PMTR29cODvjeG7rxjVnUrZUL03IWTons/hY85HMqvVL0vdsOlZ64vrR/ee3Jx45nF5RkFW7aPr2xMX7Y8LnBbjF7U7KnT563YqEXUf2la1buH9izJoQ/YSh/rMmDl3hKx8VqBk7MnjupOErp45cxcHrtcLwudM2LZi5JSv13OHMyuFhM/kUz9Xz084evlJz6vbJ/ZcWjN+Wu6fyStXj7UlHxsetzEqvuHnt1ZGDFxKm7UzZVrJtw6nI0PlKUbRSHCVkB9sNEHm4Rl+8cMdiBp8/md6/74LMMIpiyNcQ93/L4F+ulABAYAyBMetxuRgKYBjFMHC/49e4kbNxDmIX9ZCVS9JSks/46idMGpN0KKN+4uiNB1Lr6spfnclvPrS3bNHMzRNiFiycvnHd4tSF0zcnTEpcOnvbnInrIwMmRfhNFLN8CTYyN+lQAcVbRPf1UA1X80PpjjqKrVJC89FyQ0QEDwFBL6F6yxi+YqoXYaCYidcJWd40gsbfIy7Mb7yI6cPEaX20wzcsST+Xd3nXmlx/5YgFE5MuV90rOXV1+aLd+/cWZ+8r37j2UGZq6dHDDQf2Vi2dnz44eJaYH0ImaHhMr3mzk54+/oQh4PMnY2dnDwTBGPZbpuE/AgOGAQiCv1R3YwBFQNdnCDKDz58MabsPi/meTKpuxpS1mxNzXFTDhg2Zv3Ftnpt61LQJW8vOtB/JOj9yyEwXaZBeERKoHxbgNsxdGe6lGeKji9JJgoV0N6KDeOCPNJsfGPgBEoe+vJ//SrPrzyXZyRz6cp368SiDxNRBIqadlOkgYzjIyINEDj+xBv6FatuPbdef2/9vNEcbAd5eQidoxCwvBk7pJg2J9BmjF4cI8JpQfUzCpNXjRs4L9o9btih58bzkMbELE1dmHtpfefH84wsVDxbP3U0kqH/8Ee/nObIgv/LzJwsAAIYQC4TAMArDf4JJ+DMxAAAgyAJBsFU7WSDsw3tjT5cFhtCW6/emT10m4Lq6qEPDgsYzqW4KSWiw33gnW7mIGzRqxKLowdP4dB3JgcelKnk0FdGeQ3bky3h6lchbwnZVCDzFXDeV2MfHJTLEKzZ2yPTBwWP9PYaPipo5b2pioH64888MwgAGDy+l2/M85QGTYueMHDx5WOjEsICx7tpIqcCXTXWRiwLcVBECuhvehsfCSRiOAuefKAKCTMlxVfDcBEwNi65004VqlIFCrruvx/AxsfOXL9m9fMnOQL8xA/uznRy5C+cmPbr/2mz8YgIBABiGQRBksUD/QRgwzGqvEATBYAtmNqGfO03dn80wBLo6ofLSi9OmLFTJfZk0NYOq5rHcmFQdzkHKpLpSyWoSXsyjKyk4LhXPJTmx7PoTiI5MD13A6BGTZ05csGTu2nUrtu3YlLE/9cixnKK6yqaqksvHc0trSq7eanqycNZa3EAK1Z4uZ8pZOPaoIWOKjpWfL2msLWs6e/xC6s68VUt3LEzYsCUpY/XS5CFBcUOCYoeHxenlXkxntogiEtKEXAqfRRUS8RycExPvzCHhhQyqQiz0ZDE0OGcOzkkoF/uNiZ1TdOY8ZASQ6cvqw3rTFgsEw5Y/hcGfgAHDMBiGrbMTgiwmk8VshiEzYjJazEYEQ0Hnx56Gi82bkvZEDRkbHTV+ePSkAN/hwf6xwyInDx86OdA/WilxIznRbH6ysx/gRHSk0KOoJMgAACAASURBVImsQJ/Q3clp1y61tF1v72h9+Kj95cvHb9798vHze2PXe+PHd12f3/deqW+dPHY21YnOcKYoOCIpSxAZNCTvwNHXTz+auuHP7w3PHr252fz4ZvO9xw9ftLfery6rvVBVvz/lQFRQFMOZQhzkxCZS6ASqrY3jIBtnmVQbHDgk0D8qKGDYsKETwoJH+flExgyfmrQurbr88ru3nwAAkBlYzOCrnFEURVAU+aeNwZ+MAUVRayEthqFms8lgMFosMAAAgRFDr/lLSyIUPH70S+Hp8qNHzhYcLco5WHD44Ilj+cVV5ZcOZR2NGjKMRqIxKAwPVw93V3c2nR3oG3Di6EnYhADwNRMJAAAANqEoBAAA3Z+6U3bs9XLzk/PFvi4ugR56F5lUKZLMnzn/6d3n1m9Evx1d8J1w6ivrhgZHEGxt+VRygLurXCTs1/cnCoW2YvmqY0dP5hw6ejC74Myp8qLC6sLTVVXlV9puPDEZYAAAZIItEIbAv2EA4L9p/flPi/FPmQ0WazNACDKbTCYYRgAAsAU29P5/7X13UFXL0u8+HhUUCZKzSNhkkIwkEVTMekwYMGAAURQUEDkGzGJAPWYFREXFrAgmDKigiAFQcpS0yey4cpr3x+CWe+699ared1+976t6q1ZRy+2smVn96+7pmZ7p/rXBFkMpYZ+ko723q7Ovr1fY2yMUtPUgMqymujZh61YXJ4fg+XOTjx5Zvy7CzsZ66uRJt2/eFAtF8Hs5OEPnfsXnam/rPHr4uLeHV9B4v51borZGhU/wdbe3NI8MW1v+tRywgMQ4mZiC00lUBrifJyjzX76ZFTTJVF9r+YKZB3bEzps9ZZSx/tRpQW/f5olEop7uvnZBj7BPIpUgIiHS24319eBwpiYRozTVnx+H4zgAWI6j/yOLevD6j4wNDAAsxzE0TTEMBbeR4TiOogjD/MSGommKHthbhuEAACgqvX4tffHiuYcO7fn06f2lSxdmz54aEbEqLy9XLOqjSJwmSZLASRynoDVG0yzN9fWK3uS9DV2+bNWyhS9ybj5/dC0yfPGiudOvpFxobWhiCAaVUVIRgSOMVMxKRQyJswAAwIKKkpItUevmzZiQkZL87sXd/bu3BAfPPHxkX3t7MzxwPFB6OAZQJKApFscoRIYPOAzOcIDhOJoboJT+izT8j6Xt7o+OCRiaJkkSxzAEx1GWpRFEiqIyiiKEwl54vpplGalUguMYAADHZa9fP4mJiTh0aNfr14+vXDkfFrYsKSmxtraM4wiSQBgapygUQyU0hZEEQpEYx9Icy6KI7HDS/nVhy3Jzrr1+fn3blrBDexN+1FUwBEZiJEnQDM0hUgaRciQOc0hyHEOLuttvX0/dviXizrVTuTlXkw9vT0yMfZ6b1dvXjiBCkagbRaVSqRhFcYYGUAUxNEuRLMNwdP/yEc2wFAcP2HL/jaSBgwCwLM1xFAdohiVpBqdojKZxliMJEiUplGYIFJWQFMZyNM0QGC4jKRwAhiAlHz683LhxZWjogh07NkdGrpw/f3py8r6WlhoAKJZFWRZjWZSiZCxLMAxBkghFogAwKCI5eeLw4uBpCbErN29cNHeGz4nDO1BJJwA0gWI0SQEAcIwjMEBTgGEATVEkJqNx0ZtXD2OilkWtWxCzcVFo6KyEPzd8+vwGw4UkKZXKehFMLJWJMAyTr17L4wv/DO5JsxzNAYjEf6OkMhzL0ixLw5CX/3wzLAFvloMPOMPi8JkDBEVLKyo+JSbGTJ7s7elpO3as/aJFMzMzUzs7GylKwrIwKDDKsgg85E1RMgKXcCwu7OvMuJKycP5kLw+zMbbaE/xs0y8eIdBuwBE4hqAIShAUTQHI1DTNkjiOoyKOkRZ/frlpQ0iAr7Wbk6G/v0PCtg3fygpZDgEAJ0gJTkoxXErTONRNA0Jwsz//wuxj/yNhkJMeH/CMMRzKcahY3Pb4ya0VoXOtrA28fRyOHEmsqSnGsG6ZrJMkhRyHcBzCMDKWxQAgGQYhSSngcIpEir982J4Q6eVh7uFiHLNxyafCZxwrAQAnSFQslojFUobmfkZIZQgcJQgJAEhL07dzp/cEz/HzcBk1d45/6qUTza3VAGAsi+CEmKQQkkJoBuMAI9e0/3TTHKA47pfZ9F+//qMwwPvfwPBPN8ZwMKQEImivOfHX3ukz/detX5pf8JSixACgGN5D0SIOYCyHUJSUYVEOkByH0zRCMygAlETck511bX34gohVsx89SBOLBACgAJAMS2IYjqKYfNJL0zSKSnFcwtASFBV8/vh0f+KGpYsmJe7Y8P7DcxnSAwBOkCIMFzGMnFFItj8m/b+6Ac1xzH9PGH7efxcI4t/cOAtQlpOxnJRiRO8Lc89dSM56dKOr5wfH4RyHcQDlAMpyGMOiFIMyLM4BCgCKZjAMl7IsAQDd2lqV8/DKvczzLU3fACA5DgWAhDYMy7EwowIAgKIoqVQkkwlxtJfjJBLhj+fZ11LPH3z6OFMgqGNZjGUxFOvDcBHHkRz4pUj7h+J/cf9X05f87fqPDdG/7v6g3fKb/Dc3AQBBMRIM7+UAIpa0N7VU9fa2sixKkjKCkMCAjTSNUjTKcoQ8/gRN4zJERJAyABiGQXp7GgXNFRTRywGcJCUsSxIERlEEBziaoSmG5gBHUoRYLJRI+mTSboaWsoyk9UdZbeXHro46ipQAQFE0gmBCgpRxHCWHgeXkIUf+R8JA/9MNwaB/AtD/AABJMTIE62X6R2A466VQTIRhIhh7haQQikbBr529LMOQKCqRIWKKwvuDzbIoQ0kJQkySCMuSYrFQJpOwHEswJEpgFEtRFCGRiBBUgqEimpCyDEIivQwh+pkxjMb7T2AQHEczLMkwBLT6/jHW+d/inv83h+Hfjmk/ERogMQxH0DTCcfjP9JUUABQcJ2EBisZoBgc/B0z4lyRxmUxGEBjHUoCjAUsRqATHJFBxi4R9UqmYAxzJUVJMRtAETZMIIqVpgmUIlsQYEmEJBDD9CZI4jsUwFMcRWD9FETRN/mNmpX93/0+CgYXJBDmOg3k/fj0ABmYR5TiC5XCSQQhSSjMEx1E0g1M0AacjLMcAwAGOoyl4AJ9jWYYkSJqiWZphCZIlCBKV0QQ8vcJiGEIQGAc4GjAYhVMMRdEkiso4jgaAY0iCQGQsRQKGZSmaJmmaZlAUgxHUAOBIkqBpmGH5fxIM4L/Q1/7FGYrGaYYgaQzFpASFcxzDsP2nV34V5TiCoHGCohkO9Fv1gGM4BqcphGAwkqNYGJGdAyzL0TRLMf2x/DmSIeGUHgBAkxQuQzmaAwxgCJrEKYpkUJQgyf54giRJ/ox+/T8Mhv/zi+M4iqZQXEbSOMvRFE3gJE4zNMuxzM/kOCzLMQzHcoCkWAynSGrApIkDHMUxKMOgDEOyDM0yDMMBjqQJFEdojmIBQwOGZEmKIhia4jiOpTkap/uz0lEcQ7EMxWEYTZHwZDkgSYruj83zL+n+v09N8n9w/T+GAQBAUKQMkxEUwQGOBSxJMzTLsIBjOcCwHACApBgMpzgAWBbgBI0TDMsBmmEZ+iehKMDgHIUzJEGTJMVyLEWTGIHSgKI5CqcwnMZZjqVphiJpmmAZnGMJDgoEXMElSY6m4LQZUFR/eGGapjmO+b9E979dPDDgBO/flMDfig4s9r8t+e9Wu+Tp0frTh7IsxdA4iRMUSbM0zTI002/vUzRDkDTDshhOSmUYw7Icx5EUgxMMzXA4ThEE8zNdB2ApQOEshpIYRtA0zXIMzVI0R1EMieIITmAsx5IkLZNiqIykMJbCWJZk4bI5xwICp0mi35fOMCzHAYZhCAKGkRw4l2b/mUr/knr/TA15yX9JHB4AAEZ3oGn65zAFSJJEEEQebgBqTAzD4IloFEVxHIdRg6DbRx5PC56WxjAMxi+AtcHf4TOOERKJFJ4fhi0yLEszNE4QJEWRFIWgGKyZIEicIFEUlUoRiRRBEIwgSIpiGAYwLIcgOEHQHAMogiZxkqZYmuJwnEQQFEEQkiQoisQIlKRJiqZomiJJUiqVCfvEiAxnaI6lf0oDABzHiURSmQwFP2O1gZ9hHaGzE8cxkiRQFFZLycO4wSBWA6knP5sOCSUnplQqlclksCT8J8MwgONYBo5ngAcAgNRnGAbDMIiVTCYTCoXy4BswfYlMJoPBAWDMFAgSy7LyCAWQgyBOsFXoqoXYcBzHMAyCoH19QqFQSNOUHHiWZeGLNE0jCEIQBEVRGIbBHiMIiuOkVIrgOISBYRiWICiaplmGpQiKxMn+zVE0I5PJJBIxZBQMRyG9KIqSyWQSiUQmk8GhmIHHiOn+wAo9PX0SiRQAAFez5dSAPcRxnCAIiUQCOwn/QkLD/4XlcRyH8Zphi/AZAIDjeF9fn0gkgh8Lo52QJMnSDE3Rv2CQ+8j6T/5TFIIgUqlUHvcThquBqMDmB6YSkMMOuw77gePQtCeg4cFxHEVROI7DqK6wH3JBHshKLMuQJImiKIZhDPMrMBFN0SzL0RSNY/2C+DNMNSfP/sKyLIqiKIrAdvuHa5JEEETOFgOKobAMTdMSiQTDMNC/xaSfZ3t7eyHnyblNjhAMXMX9DEwr/3wYvwd+MgQD9hOylFw9wDIUSTI08wsGuexAzQPJCoVOTmiZTAZrgdw9MJwcJDFkYRiwAP4Ov1MOEmRG+AzFTv46+JkzRV4nwzCwNvCPF2zrb9oZJ/B/Dm8HCQe5FUVReeUcx2EYhiBQeyGwe3873Q+lUCwWQ14ZWCek+9+C9EBe+Vs/wc84MgP/a6CyAgAADjAUDSAMTU1N5eXlDQ0NUIVBtfPjx4/6+noYDbqqqqqkpKSjowNyukwmE4vFLS0tlZWVbW1tBEE0Nzd//vy5vr6+p6ensLCwrKwMqgVYHkGQ+vr6wsLClpYWoVBYVVVVXFxcUVFRXV0NX8EwrL6+/suXLzU1NfX19QKBACo9sVhMEERfX299fX1jYyNsjqZpHMdra2urqqqkUimO47DC8vLy2tra1tbWvr4+yFJCoRDKNASvqampoqKipqamtbUVyqVIJBIIBA0NDZWVlRUVFS0tLTKZDMMwsVgsk8kgkM3NzWVlZdXV1TU1NZ8/f66srISReyBBOY4jCKK8vPzTp0+wAx0dHVCMoHqXMyJFUW1tbZ8/f/7w4UNdXR0cHjiGJXGiH4b169dv2rTpwYMHUHaEQuHTp0937979119/NTU1lZaW7ty5MyYm5sGDB5CdhUJhc3PzhQsXIiMjr1+/3tXV9eTJk/j4+NTU1MLCwri4uE2bNr1586a3txeOFm/fvt2yZUt0dHRubu6jR48iIiJCQ0NXrVq1ZMmSHTt25Ofnf/v27dixYytXroyOjo6Ojj527FhhYaFIJBKLxdXV1SkpKZGRkWvXrl2xYsXFixe7uroaGhr27t0bGRn5+vXr3t7ezMzMzZs3x8bG7ty5Mz4+Pjk5+eXLlx0dHTC6OGTGzs7O48ePh4eHJyUl5efnEwTBsmxnZ+fDhw/j4+PDwsLCw8NjYmJOnz6dl5fX0dEBObq8vPzQoUOhoaFr165ds2bN/Pnzk5KS6uvrofTDdCJtbW3Hjx9fuXLlmjVrNm7cuH///qtXr5aVlcF2IQYymezNmzeHDx9evXp1SEjI5s2bU1NTS0pKURnC0kw/DKqqqoaGhrt374b6sbe3Nzk52dnZefbs2cXFxTk5Oe7u7kZGRsuXL//y5QsAAEGQysrK+fPnq6qqRkdHNzU1nTx50s7OLiws7OnTp+PGjdPR0dm5c2dzczNN0yKR6MCBA4aGhv7+/g8fPty3b5+KioqOjs6oUaOUlJT8/Pzu3buXk5Mzbdq0ESNGmJubm5mZOTs7b9iwAZIjPT3dz8/P1NSUz+erq6uHhIRUVlaWlJQEBASoqqoePXq0vb19//79FhYWhoaGTk5OfD7fyspqwYIF165d6+3tlVuHX7588ff3V1BQCAgIuHPnDtScHR0dBw4cMDY2VlNTMzMz4/P5zs7Oy5cvv3v3rlgs5jjuzZs3AQEBioqKJiYmhoaGKioqixcv/vbtGxSU3t5eDMMqKirmzZunrKyspaVlZmZma2s7fvz4xMTEjx8/ikQiiERBQUFYWJiDg4OxsbGRkdGoUaPc3d23b9v+raQUKqd+GIYPH75+/fre3l6oGc+dO2dtbR0YGPjly5fs7GxHR8chQ4YYGhoeOnSot7eXZdmysrLAwEAejxcWFtba2nro0CE1NbWQkJCSkpLZs2fzeLw5c+bU19dzHNfS0rJy5crhw4cvX778+/fvu3fvHjJkCMTYw8NjyZIlr1+/fvz4sY+PD4/HGzNmjI+Pj76+vqGh4Y4dO0pKSlavXq2qqjpu3LiVK1d6eXmtWbMG6gd/f38ej5eYmNjd3b1nzx5NTU0FBQVXV9eAgABdXV1VVdVp06Y9fvz458BL3r9/38TEhMfj2dvbX7x4sa+vDwDQ09OzZ8+eESNGaGhoTJo0afLkyXw+X1dXd/r06c+fP+c4rri42MvLa8iQIePHj586derYsWPj4uKqq6uhTQGNn/LyctgZPp8/YcIER0dHTU1NU1PTyMjI0tJSAEBzc/P27dvNzc319fXHjh07ceJEBweHkSNHOjo4njtzFpHK+mHg8/laWlqRkZE9PT0QnMuXL9vb20+ePLmsrOzZs2deXl7Kyso8Hs/Ly+vp06csy9bV1c2aNYvH461cuVIgECQlJSkpKS1btqyzs/PIkSPKyspubm4lJSUAgA8fPvj4+GhpaZ05c0YgEMTFxWlra0dHR2dnZ9+/f//Jkyc/fvzIzc319PRUUlKKiIjIyMiYO3eugoLCvHnzHj9+7Ovrq6SktG/fvuLi4nv37j148KCzs7O6unrKlCmDBg3atm1bV1dXUlIS5MQ9e/Zcu3YtNjbWwsJCU1MzKiqqsbERACAQCOLj4zU0NIYNG2ZiYhIZGVlXVwcAkEgkR48e1dTU5PP5e/fuvXXr1q5du6ysrIYNGxYTEyMUCktKSnx9fS0sLE6cOPHo0aMbN27k5eVBMw8a8SRJVldX+/j4KCoqhoaGZmZmHj9+fPr06crKyo6Ojvfv30dR9OHDh66urnp6eiEhIWlpabdv3z527FhQUJD6SPW5f8zJf/uuHwYbGxsjI6P4+HiJRALtgZSUFGtr6ylTppSXl+fm5vr5+enq6ioqKo4cOXLDhg2NjY0tLS2hoaGDBw9evnx5W1vb4cOHVVVVlyxZIhQKi4qKXFxc+Hw+BCwjI0NfX9/e3v7Vq1ctLS2rVq3S19dPSEgoLCz8/v17RUWFQCB4+vTp2LFjNTU19+/f39DQkJiYqKent3jx4uzs7ICAAG1t7eTkZIFAAHMK0TRdXFw8ceLEoUOH/vnnnwKB4MiRI9ra2oGBgZ8/f8YwrL29PSEhQUdHx9fX9/Xr1wCA9+/fjxs3ztzc3NfXF2qely9fwunRiRMndHR0HBwcbt26RRBET09PTEzMkCFDAgMDS0pK3r596+Pj4+joePny5Q8fPuTn51dVVcFpBISBoqj6+npfX18VFZUDBw5gGIaiaFZWlre396hRo44dO1ZbW7t9+3YVFZWJEyfm5uZiGIZhWF9fX2Zmpr29/ehRJvFxW/ph0NfX19LS2rp1K4IgUJmmpKTw+fyAgIAPHz7k5ub6+vrq6ur6+/uPHj3azs7uypUrDQ0NYWFhgwcPDgsLa29vP378uKam5pw5c7q6uiQSycKFC42MjC5cuICi6P79+4cNGzZz5sza2tqurq6wsDBlZWUvL6+VK1euXLly7969+fn5Dx8+nDRpkqGhYURExJUrV2bOnKmlpRUXF1dcXBwWFqapqTl+/Pg9e/YUFRVBYS0uLh43btyQIUMSExO7uroOHz6spaUFVSgscOfOHRsbG1NT04yMDJIkb9y4YWFhMXfu3OPHj0+dOlVbW/v8+fMoikokEviuh4fHixcv4LupqamGhobOzs5ZWVl5eXkTJkzQ0dH5448/Fi1atGDBghMnTjQ2NqIoCudSLMv++PHD399/+PDhu3fvhjU0NzcvWbJEQ0MjOjr66dOnCxcuVFJSiouL6+7ultuyjY2N8+bNG6ag6Gjv0A+DhoaGqqpqfHw8nK1ApWRlZTVhwoSCgoLc3FwXFxctLa0dO3aEhobq6ekFBwdnZ2cvXrx46NCh69evb29vP3nypJaW1vTp09vb2wEAW7du1dXV3bhxY01Nzbp161RUVBISErq6unp6eiIjIxUVFXV0dIyMjJSUlAICAu7fv3/nzh1IHVdXV29vbzMzs0mTJj18+LCvr+/27dvTpk0zMDDQ0tJatGjR8+fPJRJJZWVlQEDAoEGDdu/eLRQKk5OTNTQ0xo4d++LFCzgYPH/+HOqBCxcutLW17dq1y8zMbPv27aWlpdu3b9fR0Vm7dm1zczOKovv27VNTU/P09IQwsCx7//59FxcXW1vblJSUd+/ezZgxg8fj6ejoaGtrKyoqzpkzp6ioCNq7cJyvrq729vZWUFDYsmULHHKEQmFUVJSKikpISMiFCxcmT55sYGBw+vRpkUjEsiy0d0ViUcLWBKVhw3k8Xj8MBgYG2traW7duhXY6AODatWv29vazZ88uKyt7+fKljY2Njo7OxYsXr1+/7uPjY2FhsXHjxokTJ6qoqISHh7e1tUEYpk2b1tnZCQA4c+aMsbGxv7//jRs3pk2bZmpqeuPGDYlE0traGh4erq2tPWnSpEWLFgUFBW3atCk/P//u3bt+fn7Dhw83NjYeOXKkp6fnpUuX4GpKe3t7dnY2hH/kyJHBwcH5+fm1tbUzZswYNGjQ9u3bhULhqVOnNDU1/fz8CgsLoZmYk5NjZWWlo6OTkZHx8ePH4ODg0aNHx8XFFRYWJiUlGRoajh07trCwkKbp/fv3q6mpubq6Pnv2DPJyVlaWo6Pj6NGjz549W1BQMHPmzCFDhvj7+4eGhgYFBUVHR5eXl8PlBtjW58+fXV1dVVRUdu3a1dfXx3GcRCKJi4uDNsupU6eCgoJMTExOnz4NiQPTqfb29e7ZvUdLQ/MXDCNGjNDV1d2xYwc0sCAMfD5/xowZVVVVr169srGx0dfXv3z5clNTU2Jioo6OjpmZmY2NjZ6e3urVq9va2k6fPq2trR0UFFRfXw+Zcdy4caNHjw4JCbGwsPDz8/v27RtJkrW1tYsWLTI1NT18+PC7d+/y8vKKi4s7OzuzsrK8vLw0NTWdnZ01NDQ8PDyys7PlM02apj99+nTgwAE+n6+jo3Ps2LGqqqr58+cPGTIEwnDu3DldXd2goKDq6mr4SmZmpp6enpGR0YsXLx49ejRmzBgNDQ1PT89ly5YFBgYqKSkZGBjcunVLJBIdPHhQU1PTx8cnPz9frpSgPZ2env7+/fugoKBRo0adOXPm27dvb968KSgoEAqFUG7ggsL79++9vLz09PSOHDkCZ91NTU3Lly/X0NDYsmVLVlbW/Pnz1dXVY2JiWlpa5B9VUVGxNGSpjra2rY1tPwxDhw4dOXLkmjVrvn79CifxkNYzZ84sLy9/+fLlmDFjDA0N09LSGIZ59+5dYGCgoqKiurq6vr7+mjVrBALBuXPn9PX1J06cWFFRAQBoaGiIiorS09ODJnloaCiU1pqamjlz5piYmKSmpgoEgr6+PolEgiBIVlaWn5+fra3tsmXLvL29LSws9u7dC1fQqqqq6urqUBStr6+fO3eukpJSfHx8eXn53Llzhw4dumPHjp6enpMnT+rp6QUEBLx//14sFjc3N8fHx2tpafn5+X39+hWCBFHR19fX0NBQVFRUU1Pbt29fVVVVcnKynp6et7d3Tk6OSCSqrq5es2aNgoKCr6/vq1evCgoK/Pz8HB0dnzx50tvb29vb29fXJ19OJgiCIIiioqLx48fr6eklJia2tLQIBILr16+7urpCIBsaGhISEtTU1AICAp49eyaRSFAU7ezsPHv2rCWfb8W33Ll9Rz8Mjo6OqqqqdnZ2iYmJ0ORydXVVVVWNiIj48ePHs2fPHB0djY2Nr169Co28kydPWlpaDh48WEVFZe3ata2trRcuXDAwMJg6dWpraysAAMfxc+fOGRkZ/fbbb3p6egcPHoRrak1NTYsXL9bQ0IiKirp69eqVK1eeP3/e1NR069YtHx8fd3f3nTt3RkVF2dnZhYSEVFVVNTQ0xMbGbt68ubCw8NmzZ2PHjh0xYkRSUlJNTc306dN5PN7WrVvb29sPHDigoaFhZ2d36NChU6dORUZGmpubm5iYbNu27dOnTxEREaqqqpMmTQoNDQ0NDQ0ODnZ1dR0+fPjixYvz8/MvXLigr69vYmISGxt78uTJ8PBwExMTOP1sa2vLy8sbO3YsZIv09PRLly7l5eVJpXAtlkYQhCTJL1++eHh4KCkpLVy48PTp00eOHJk6daqysrKPj09BQQFJknfu3HFzczMwMFi4cOHZs2dv3bqVnJzs5eU1QmnE4oWLPn0s6ochOTnZz88PIjFx4kQ+n8/j8WxtbdPT0yUSyYMHDywsLIyNjW/fvg0Zobq6OiIiQlFRkcfjyWHQ1NQMDAxsb2+HlsDTp08dHR15PJ6rq+u9e/egJDY1Na1YseL333+3trb29PS0tLQMCQl5/fr1zZs3XV1d+Xz+iRMnsrKyZsyYYWlpmZSUlJubO3nyZBMTk5CQkGnTpmlqanp4eDx9+rSqqmr8+PE8Hm/btm0dHR379++HVoafn5+Xl5eBgYGamtqSJUvy8vLu37/v7u5uYGCwf//+t2/flpSUvHnzJj4+Xl1d3cnJKS0t7fTp07q6ujwez8HBwc/Pz8TERFdXNzg4uKioiKbprKwsd3d3ZWVlW1tbe3t7a2vrTZs2VVVVwYEBLpqVlpa6urryeDxLS0t/f38/P7/Ro0c7Ojru3bu3qakJ6oakpCQ3NzddXV0HB4cJH7J3dwAAG0VJREFUEyY4OTmpqal5enheu5qBoWg/DO3t7WfOnPH29jYyMjIzM1NXVzcwMIiMjIQLIw8ePHB1dXV3d3/8+DGKohzHoSh6/fr1MWPGKCsrx8fHd3V1ZWRkWFhYTJ48uaamBq5lfv/+fcGCBZqamiEhIcXFxRCGxsbGqKgobW1tY2NjQ0NDBQUFf3//7Ozs58+fBwQE8Pn8jIyMjo6OxMREdXX1KVOmZGVl7dixw9nZ2dzc3MjIyMHBYc+ePc3Nzd+/f581a5axsfHJkyeFQmFKSoq7u7uurq6NjY2bm5uXl9fixYsfPHjQ3d2dmprq4OAQGBj47NkzaObLZLJ79+55e3s7OTnt3bs3OTnZ0dFRWVmZz+f7+flNmDBh2bJlt27dgs6De/fuTZs2DRr0ampqKioqS5cuLSoqkkgk8lNvtbW18+bN09DQMDU1dXV1nTBhwpw5c44ePSpfeaQoqq6u7sCBA25ubtra2gYGBnw+39/f//ix4y1Nzb8WMyCfpqWlbdq0afPmzdHR0YcPH87Pz5fJZAzDfP36NTk5+dixY8XFxRKJBApEXV3d6dOnExIScnJyEAR5//79tm3bTp06JRAIcBzHcbytre3KlSvbtm27efMmtBAAAL29vXfu3Nm8eXNcXFxsbOy6deuSkpKKiorq6uqOHTsWGxtbVFREEERBQUF0dPSff/758ePHz58/nzhxYt26dbGxsefPny8pKcFxHC4s7tu3r6CgQCKR5OfnJycnx8bGbtmy5ejRo1evXn3z5k13dzeKos+fP09MTExJSYGWtNyuv3jx4oEDB+7du/fs2bODBw9GRUVt3bo1OTn56tWrr1+/hh1GEKSkpCQtLS0hISEqKio2NjYqKio1NbWhoaG3txcunjMM093dffXq1YSEhK1bt+7bt+/ChQvZ2dlw9s6yrFAohHxZWVl57ty56OjoDRs27Ny5MyMjo76uXu7h5gEAoENDJBLV1dU1NTUJBAK4DAtTT0okkq6urra2tq6uLvn8Dq5Cw8ka7EpdXV1nZyd0EshkMpFI1N7e3traCt+Sn0/q6emprq5ubm7u6Ojo7OyEy8IEQbS0tFRXV/f19clkMhRF29vba2tr4RptT09PbW1tT08P5Czoxmlvb29vb5dIJFKpVCAQNDc319fX19fXd3d3w88hSbKvr6+jo6OlpaW7uxu2jqIoHPnFYnFHR0dfXx9csa+rq6uvr29ra5P7GKAvCEEQoVDY0tLS2toqFAoFAoE8WYBIJIKOQoIguru7W1tbGxsbf/z4IRKJBjqCoBkC+l2toubm5sbGxra2NolEAj2gv1ZYBwb4HnhB9wOkIGxP7sscWOznJoZf3puBPhzoE4UuoH9uAgzw/YGfblT4LHciggEOPvgM/TnwnwRBwE7+rVroPoOzOXlDkEX+wfHyby4Ig9yF9bcLfpHctyjvvNyvBQCALj+ol/7d97IMC12H/b5oBEH+VpphGLlqg0sl7IAsQtAzAb11cO0e/DQe5M47WAyG04cw/G1HAvszqeVATxw0BKHXCC7rw7kSiqJwRRNSU+4M5zgOciWsAcdx2G34UbBR2BO5fxf6/uSOMDldBvaHIAixWAx5H/z02UFFBItRP93i8pCHGIaJRCLIf7DDcr+6PLkJ/Dq4X4JjWYZmfsEg983Cnsl3HsCXoRzInf7w9+7ubuj0kEqlUOfI24aFKYqSSCRywkEvo5zc8p0NkKHkTl0oWJCIsPK+vj451eQeY/Zn1HxYD3RqQgpCvOV+eUgyyJVyRzFsCDYt3zUCoeIGZIiXSCRisRiSFfoQ5Zwkfx1+FGxX3sRANzWsFm6ogFqEoihIao7j+ncFQBig9Mm9spATIY3kTCcXVdh1SH2ofOScCFfhISGgTTJwXwHkYiiqMpkMNgHlieM46DGGXkM5e0LWhpIn10Vy7Qfrhz2EvIlhmHxIhHwn35ACV4EGKjq5KEONiiCIWCyGJIY7Ish/vORbfiCJB1IWAABHC1gt/C7INJBiGIbJeUg+RJEkSeIEhvw0WLu7u3GckOsK+d4bKD6Q9eA2C7iSIi85UMnI9+1AZQJ/lDvEIctAGOTbnORsRdM0gqCwl7DRgTqXIEm42DVwSwSEbeAgAWETCoWwz1CqwIAD9JA3B3IrjhMD849A/UNRlEyGyPdhyDUVwzA03V8D5Am55EFJRRAE9gGSvk/YB+2XgSIup5VMJpNJpRiK/YIB0gXu4gIAYBgm/bkPAy7KQ1O9uLgYLqdARobYIAjCsCz0G8tHkYFq6udWEZogSDhU0P0njFn59gVIUKhGOjs7Kysri4qK4L4CCIxcR8srlP0chHAcR1FMTg7IenJrEo4QUGJg/VKZTCZD5JTFcQKSD/zcFSeTyXCCgIIIBhggcKsSTKg0cP+SfDQiSVIsFsMNCZDlxRKJfC8PhBNqNgCAVCqViCUwc558bGBKS0vS0y+dOnXqUlramTOnjx8/lv3oUXd3V19v75MnjxMTd65bt27NmjVXr15tbGz4+vVLSkrKmTNnUlNTLl1Ku3Qp7VBS0t07d/r6enEc+/rlS3p6ekZGxrdvpfCEOsuynZ0dT58+uXLlclpaakrKxbTU1Lt3734rLcUxDAAgkYihvBQVffzrrxMxMZtXrly5bv369PT0xsYGFEWkUgnc4A3hR1Hk/fv3Dx7cz8y8cebM6WPHjp0+ferJk8cdHe0/9SpCkoRYLHry+PG5c+ezs7M7OzoA4BiGEYtFYrGIpimWZWiaam5uevDgfnp6+pUrV1JSUq5fv1ZdVUVTFIFjfX29YpGosPDDlStX7t69U1z8tbu7WywW4zjW3i7Iycl+nJPT0tJC4IRUKpVKJIWFhefPnct9/lwsEjU2Nt69cycnO1vQJugfmXH8w4cPKSkpNzNvVlZUiEUiHMP68yhAGGiKvHjhnLubq76enoW5qZWlxShjo+XLQr58/vTyxfMlixcZGxno6elpaWn9MXvWg/t3bt3KHOvpaWRk5Ohg5+I8xtbG2mSU0bqI8B8/GmQyyeFDSXwLC3Mzs4StWwSCVshn30qLQ5Yssrbi21hb8i3MTUxGeXuN3b7tzy+fiyiKRBApTZE11ZVxcTHWVnxdXW09XR1NTU1npzGHDx2sq61GURnRvzOe5Tiuq7N9z+5d7m4upqNHmYwyMjI0GGVsOGvm9Nu3MlFEynEcQ1MYhnz5XDR/3hxdXd0/Zs8syH9L0yQAAEWkMpmEYSiGoXAMefXqxR+zZ5mMMjYxMRk1apSnh1v6pdTeni6KxGVScXVVRXTUBgMDAxdnp6NHDrW1tTAMw7J0UVHhjOnT5syenf8un2M5lmUFLa3b/vzTim+ZsDWhvU1w9/Ydd1e3RcELPxZ+hCLV/KMpasNG09Gmnu4eB/bt72zv4DiOIqlf0zeGoQ8dOjhCaRiPx3NxHjNxQoC3l+f2bQll30v37NppaKBna2O1fNnSSZMmLl4U/OD+nXdv81aGrnB0sNfW0lAeMdzM1MTby/Pggb0tzT+afjQsDVnM4/F4PN6EQP/ir58g2h/e54/1dB+mONRpjMOkiYHWVnxjIwMba6vNm6KqqysZhqqvq9mVuMPaiq+hrmZjzZ80IdDdzVV5hJLTGPvz5860C1pxTMYwFAyg0fSjYc3qlUOH/D5ccajTGAdHBzsDfV19PZ3gBfNev8oVCfsA4MSiviuXL5mZmvB4PEMDvZN/He/t7QIAkAQmk4ppimBZhiLx+/fuWFvxhykqODuNcXF20tPVnj1rxtu3eSxDUySe/+7NeH8/Ho83+PffFi8KLv76GXJV/rs35mamttbWL57nwg9sbWpesXz5778NCg8L62zvSE+7pDJC2cfLu+BdPgAAQ9GCd/neY714PN7vvw2aPnVaTVU1AOBvu/a45OQjGupq5majz5459ezp49u3MsvLvvX2di8Mnj/oN96K5Uu/fC56++b1wwf3ysu+9XR3Fn4o+OvEsXF+PmamJpHrI27dvFFe9r27qyP32ZPAAH+l4YrDFIeOcbS/d/c25MGPhe8Dxo/jW5jtStzxIvfZqZMnVixfqq2laW5meuN6BobKbmZet7bi6+pohSxZdOL4sezsrIyrlydOCFAYOnjmjGkf3ufLpGKKxGmKgDCEh61WUVby9fFKuXj+UlrKrsQdri5O2loam6I3fistBgC0tbVsit5obKSvqDDU2MhgxbIQ+DvDUCgipUgcmjx379yys7X2cHc9f+7M+XNnXF2cjAz109PTAAAEjl6/dsXZyXHQbzwdbU1PD7fbN29wHAM/x87WxtXF5W3eGwhDS1NzRPhazZEa0Rujerq6b1y7bqhvMHXylJKvxQCAnq7uK+mXHezsVUYoa2lo2tva5T57DpNeDICBYw/s36upMdJrrMerl7ndXR1VlWV9vd1isXDe3D94PN4fs2cWfijAMUQiEYvFQpGwV9DW8u5t3pLFwS7OY9IvpXZ1tpMk0S5oPXrkkJWlhb2djbOTo+noUQcP7Ovp7gQAFH38EDB+nIO97dUr6SiCNDbWPcp64D/OV0NdLXHn9prqyq3xcYoKQ8b7+z3OedTW1iqVSLq7Os6dPa2nq2thbnb92tXeni4MkeIYAgBoF7SGrVmlNFxx/rw5NdWV3d1djQ0N0VEbfuPx3N1cnjzOBgCUlX2bEDjeZJTRWE8PZydHHy/P7EcPaRrOUSiGJiEkN65n2FhbBgaMe/7sydMnOT7eYy3MTW/cuAYA6O7q2BofZzp6lIWZqdMYB0MDvX17dsmkYgDA+4J3drY2Lk7OOY+yuzu7hL19Xz9/Wb50mZaGZuS69W0trelpl3S1daZPnVZaUgoAaGlu2bol3tbaJnB8gK+3j56O7rGjySKhCADAMWw/DBxLHTmcZDLKyM7W6s+E+L9OHEtM3Jlx9XJtbfXhQwdHGRsa6OuuDV9z984tgaANAE4mFUvEfeVl35YvC3Gwt8u8cR0yaU115dKQxfp6OuvXrd29a6e9nU3wgnlFHz9ApeQ/zneMo/2N6xnQZuvp7oxYu0Z9pGp42OonOY/mz5ujpqq87c+tvT1dcgO0vr525ozpBvq6e/fsErS14BiCoTIAQG9P15rVK4cPU1i8KLi1pQkWzrxxTVtLQ0db8+qVdIahc3IeWfLNx/v77dmduGjhAmtLi+Sjh7s62wHHAcCyDJzrUjczr1vyzW2sLbfExUSsDbeztY5cH1FR/h0AUFdbPWVykLUVP2ZzdHTUBi1N9SWLFjbU1wAACj8UuLm6GBkYhq8JSzpw8OjhI39uTfB091BXGxm5bn1rc0vKhYsaI9WnTZn69ctXAEBpSenkSUHurm5HDx9JiN+qr6sXuW59Y30DAACG94Aw0BcvnLOztVZVGQGHUCMjo0ULF3x4n19e9m1dRLiWprqervYYR/vjx462C1ppiuBYuqL8+5w/ZhsbGaamXEQRKQDg3ds8N1dnfT3djKuXC/LfjvPzsbK0uJyeBgAoyH/r6+PlYG97OT2NpkgAOIrEN0VvVB4xfGnI4svpaRMnBBgbGVw4fxZWhWMow1AEjkZtjNTR1lwXEd7a0sSxNEFgAIC+3m4Iw/x5cyoryhBECgB4++a1u5uLhrpaasoFsajv8KGD+no64WGrnz19HBuzycTYMGzNqtKSr4BjOJamSRyeAc16eB8OSHa21nq6uoYGeufPnZFKxQBw797mWVlajvPzff3qxZ3bN40MDdzdXPNevwQAfP3yaZyfz5AhQwz1Daz4ltaWVnY2tprqGiPV1GI2be5s70i9mKIxUn3GtOlfP38BANy/d3/0KJPJk4Ly3767kn55tInJrBkz3+cXAJajCFKulLi01It8CzNVFeWZM6YtWhgcvGD+nt2J30qLGZr8/PlTXOxmK0uL4cMUXJzHnDt7WioRAQDKvpdOmRxkbGR0+1YmQWA4hqalpmhraY02MX5w/27hhwIf77GKCkP37tkNAPj86aPXWA9rK/7l9DSYsY9j6ZjN0aoqI0KWLExNueA/zs9AXy/l4nkCRwAAFEkAAFiGCg9braAwdGXo8q7OdgAAFLvenq6wNauGKQ5dMH9uY0MdQeCQNJMmBupoa15OT6urrV6xfOlINdXoqA3Pnz2Jjtqgq6M1OWjim7xXAACWJmVSMcNQAIBnTx+7ujjxLczmzpk9beoUG2vL5ctCvpUWYxh68q/jujraM6ZP/Vj4/t7d26NNjI2NDK5lXOZY5uuXT15jPZWGD3ews3dxcnZ1dvF09zA2NNLW0ordHNPeJriUmqajpf3HrNnfS78hMtn+vfvUVFQXL1z09fOXtJRUAz19vrnF5UvpBIYzFPMLhvPnzujr6ZqZmt7MvF72vfTrl0/V1ZXCvh44InW2tx09cmicn4/SMIW5c2Y31NeyLFNa8jVo0sTRJibZjx6yLN3W2rwpOkph6FDT0SZb42Pjt8Sajh71+6Df1oaH9fV2V5R/H+fnY2tjlXnjWv+Y1vxj2dIlmhoj168Lf5T1YO6cP5RHKMVsju5ohzYuYFmmuqrC18dr8ODBfybES6ViAABNkwBwnR2C9evWKioMmT9vTndXB7Qysh89dHVxsuSbP3xw793bvPH+fiOUhk+ZPGlLXMzECQHDhylYWlrcuJ7BMAzLUDKpGNoOOdlZri5O4/39Mm9ce/okZ+6c2WqqymfPnm5srF+8aMEIpWFurs6JO7dviFynp6utPGJ44s7twr6eL5+LXJydzc1Md2zbfvrUqTOnTh85dHhK0GR9Xb11ayMa6urT0y7p6+pNmzK1sryiqfHHwgXBwxWHTZow8eD+A8uXLlNWGqE4VCEhfmtne8fAYyb0mdMn9fV07O1sX796IZOK2wWt3V0dJIl3dbZ3dXYAlq6vr90SF6OlqT5l8qTSkq84hn4qKpw0cYKRoWHG1SskgRV9/DB1SpDC0MFWlhbeXp7WVnxtLQ01VZVJEwPf5L2qqiyfOiXI0cHuyuVLNEV2d3dm3rjm7uZibGRw+NCB8rJv27clqCgreXt5Pn/2BEMRiiTq62pPnTyhr6drbmaWmXmdoggAAEXiALCtLU2bojeOUBo2dUpQdVUFhiJNPxoTtm7R0dYMDPB/k/cq88Y1ezsb9ZGq5maj3d1c+BZmCkMHKyoq/pmwtbu7k+M4miI5jgEce+f2Tb6FmZ+v95PH2ZUV36OjIhWGDtm5Y/url7nOTg6Df/9NR1vT1cXJzdXZyFD/90G//TF7Vknxl2+lxZ4ebq4uLo+zcwQCgUAgKPlaHL4mTFtTa1nI0oqy8suX0vV0dP18fMu+lxW+/+Dq7KIwdKjZaFNXZxe+uYXGSPUhvw9eFLwQ2lHysYE5d/a0udloM1OTHdv/vH7tavql1NzcZ40NdSkXz+/Y/mf2o4efP32MjtowQmn41ClBDfW1JIG/e5sXGDDe3Mw04+plksAyrl42NjbU09UOXbFsXUR48IJ5c/6YZWZqYjLK6Mzpk8VfP0+bOtnQQD88bPXNzOsn/zo2Y/pUNVVlby/PJ4+zZVLJ48ePHOxtfx/EW74s5N7d249zHu3ds8vTw11TQz08bFVdXQ0ALEUSGCoDgGtrbd4SF6OhruY0xuH4saMXzp+N3xJrYW6mpqq8JS6m8EPB9m0JhgZ67m4uC+bPDV2xbPmykPH+fkpKw2fOmPapqBB+OcexLEPevXPLytLC1sZq+7aEw4cOBgaMV1VR2bM7MTXlwihjA2sr/swZ05YtXbJ6VWjIkkUj1dQszM1u38qsqiwfN87X08OjqPAjrK2zvWPD+siRamorli2vra65lJqmp6M7eVLQt9Jvl9PTdXV0bKys/5g1e1HwwqVLQubNmauqojLG0fHenbu/YACAO3vmlJ2tlfpIVb6FmYe7q7eX55a4mNznT9eGr7Hkm0+ZPGn9urV+vt7KyiPC1qzCUBnHsm/yXk0IHO/oYP/wwT0UkW7fljB48GD/cb5ZD+/XVFeWfS99lPXA18dr+DCF2JhNz54+njQxUGHokNEmxuP9/dzdXIwM9S355lvj43401nMc29bWsiUuZqSairGRwayZ0+fPm2NrYz1STW3ihMBHWfdpiuA4BpFJ4ADe2SHYEhejr6ejp6vt7eXp4jzGyFBfTVV1yuRJ2Y8evsh9NnVKkK6OVmzMptevXpYUf/nwPv/smVOWfAs7W+trGVfgAMMwFE0ROdlZzk6Oujpabq7Ojg72ero6Pt5eZ06fTNi6xdhIf234mtznT0tLi0uKvzzOeeTh7jZCafi+vbu/lRaPH+/v4uwsnzf8aGhcs3q1mqrqurUR0FIyNjQKXb7iQ8H72JgYVRWVVaErH2fnlHwtLv9edu/uPWsrKxVl5aQDB3953wAAR48cMjcbPVJNRUVZSUVZSWm44qyZ058/e5Jy8fxYT3c1VWULc1NbG6vg4AVPHmcDwDI09bHw/YzpUx0dbO/fu/OjsX75spARSsNjNkfX19XAsFvt7W2rVq4Ypjj0j9kzU1MuTA6aqKqirKKsZGigZ23FDxg/bu/e3V+/fCYInKZIiiK+fvkUF7vZaYyDySgjfT0dHW2tgPH+l9JSu7u7AOBIAsMxhMBROERvit5obGSgqjJCS1PdzNTEzdV51crQ7EcPO9rbMjKumJuNtuSbP7h/F8cxAFgMlb3Je+Xh7qqhrrZ7106RsJdlaJahWIZ+nPPIxtpSabjiaBNjRwf7+fPmZly9fON6xpTJk8xMTf46cUws6gOAJXBU0NYSumL5MMWhS0MW5z5/6uvj4+Lk/DL3BVTuTT+awsPDVFVUIsLXNv9ounj+At/cYt3aiBvXrs+eOUtHW/vo4SNdHZ2wcGtLa/CCBYMH/b565SpUhvyCYfeunfp6Ojramgb6uhrqar8P4k2cEFD4oaBd0LopeuPvg3hDh/zuYG9743oG4BgAOBxDyr6Xzp83x8rSIvPGtU9FhbNnzTA2MoALD5BYMplk966d6iNVvb08kw7unzF96mgTYx1tzdEmxgHjx23fllBb27/JTiYVw0gKVZXlK5Yv1dbSGPz7b1aW5vv37WkXtMIhAZFJGJqE9n5fb/f6dWshDBrqar4+XrExm/Lf5cHajp84pj5S1dPDrex7/yEOhiY/Fr738R6rMHRw5PqIttZmmsI5lgYAPMp6YGigN2TwIBtry+AF8zJvXGNo8sH9u3wLM2htkwTGcgyKSCVi4Y7tf6qqjJg4ISDj6hUPd3dXF5eXuf0bkDvaOzZu2KCqorJm1era6pqUCxftbe3WrY04nHTIx8vb3NQsPe0SIpVBGFAE3bFtu+JQhZnTZwh7+37B8P+v/7fX/wKSvJ2QdFvgWgAAAABJRU5ErkJggg==" alt="" /><span style=" Arial Narrow"; color: rgb(220, 158, 31); letter-spacing: 0.3pt; vertical-align: baseline;font-family:";font-size:180%;" ><span style=""> </span></span><span style=" Arial Narrow"; color: rgb(220, 158, 31); letter-spacing: 0.3pt; vertical-align: baseline;font-family:";font-size:180%;" ><span style="mso-spacerun:yes"> </span><span style="color: rgb(204, 153, 51);">Universidade do Estado da </span></span><span style="font-family: "Arial Narrow"; letter-spacing: 0.3pt; vertical-align: baseline; color: rgb(204, 153, 51);font-family:+mn-cs;font-size:180%;color:#DC9E1F;" >Bahia</span></p> <p style="language:pt-BR;line-height:normal;margin-top:7.68pt;margin-bottom: 6.0pt;margin-left:0in;text-indent:0in;text-align:center;direction:ltr; unicode-bidi:embed;mso-line-break-override:none;word-break:normal;punctuation-wrap: hanging"><span style="font-family:"Arial Narrow";mso-ascii-font-family: "Arial Narrow";mso-fareast-font-family:+mn-ea;mso-bidi- mso-color-index:3;letter-spacing:.3pt;mso-font-kerning:12.0pt; language:pt-BR;vertical-align:baseline;mso-text-raise:0%font-family:+mn-cs;font-size:180%;color:#DC9E1F;" >Curso: Linc. em Matemática</span></p> <p style="language:pt-BR;line-height:normal;margin-top:7.68pt;margin-bottom: 6.0pt;margin-left:0in;text-indent:0in;text-align:center;direction:ltr; unicode-bidi:embed;mso-line-break-override:none;word-break:normal;punctuation-wrap: hanging"><span style="font-family:"Arial Narrow";mso-ascii-font-family: "Arial Narrow";mso-fareast-font-family:+mn-ea;mso-bidi- mso-color-index:3;letter-spacing:.3pt;mso-font-kerning:12.0pt; language:pt-BR;vertical-align:baseline;mso-text-raise:0%font-family:+mn-cs;font-size:180%;color:#DC9E1F;" ><span style="mso-spacerun:yes"> </span>Disciplina: História da Matemática</span></p> <p style="language:pt-BR;line-height:normal;margin-top:7.68pt;margin-bottom: 6.0pt;margin-left:0in;text-indent:0in;text-align:center;direction:ltr; unicode-bidi:embed;mso-line-break-override:none;word-break:normal;punctuation-wrap: hanging"><span style="font-family:"Arial Narrow";mso-ascii-font-family: "Arial Narrow";mso-fareast-font-family:+mn-ea;mso-bidi- mso-color-index:3;letter-spacing:.3pt;mso-font-kerning:12.0pt; language:pt-BR;vertical-align:baseline;mso-text-raise:0%font-family:+mn-cs;font-size:180%;color:#DC9E1F;" >Acadêmicos: Adelcio Gomes</span></p> <p style="line-height: normal; margin-top: 7.68pt; margin-bottom: 6pt; margin-left: 0in; text-indent: 0in; text-align: center; direction: ltr; unicode-bidi: embed;"><span style="font-family:"Arial Narrow";mso-ascii-font-family: "Arial Narrow";mso-fareast-font-family:+mn-ea;mso-bidi- mso-color-index:3;letter-spacing:.3pt;mso-font-kerning:12.0pt; language:pt-BR;vertical-align:baseline;mso-text-raise:0%font-family:+mn-cs;font-size:180%;color:#DC9E1F;" ><span style="mso-spacerun:yes"> </span><span style="mso-tab-count:2"> </span><span style="mso-spacerun:yes"> </span>João Figueiredo</span></p> <p style="language:pt-BR;line-height:normal;margin-top:7.68pt;margin-bottom: 6.0pt;margin-left:0in;text-indent:0in;text-align:center;direction:ltr; unicode-bidi:embed;mso-line-break-override:none;word-break:normal;punctuation-wrap: hanging"><span style="font-family:"Arial Narrow";mso-ascii-font-family: "Arial Narrow";mso-fareast-font-family:+mn-ea;mso-bidi- mso-color-index:3;letter-spacing:.3pt;mso-font-kerning:12.0pt; language:pt-BR;vertical-align:baseline;mso-text-raise:0%font-family:+mn-cs;font-size:180%;color:#DC9E1F;" ><span style="mso-tab-count:1"> </span><span style="mso-spacerun:yes"> </span>José Santos Júnior</span></p> <p style="line-height: normal; margin-top: 7.68pt; margin-bottom: 6pt; margin-left: 0in; text-indent: 0in; text-align: center; direction: ltr; unicode-bidi: embed;"><span style="font-family: "Arial Narrow"; letter-spacing: 0.3pt; vertical-align: baseline;font-family:+mn-cs;font-size:180%;color:#DC9E1F;" ><span style="mso-tab-count:2"> </span><span style="mso-spacerun:yes"> </span>José Wellington</span></p><p style="line-height: normal; margin-top: 7.68pt; margin-bottom: 6pt; margin-left: 0in; text-indent: 0in; text-align: center; direction: ltr; unicode-bidi: embed;"><br /></p><p style="line-height: normal; margin-top: 7.68pt; margin-bottom: 6pt; margin-left: 0in; text-indent: 0in; text-align: center; direction: ltr; unicode-bidi: embed;"><br /></p><p style="language:pt-BR;line-height:normal;margin-top:7.68pt;margin-bottom: 6.0pt;margin-left:0in;text-indent:0in;text-align:center;direction:ltr; unicode-bidi:embed;mso-line-break-override:none;word-break:normal;punctuation-wrap: hanging"><span style="font-family:"Arial Narrow";mso-ascii-font-family: "Arial Narrow";mso-fareast-font-family:+mn-ea;mso-bidi- mso-color-index:3;letter-spacing:.3pt;mso-font-kerning:12.0pt; language:pt-BR;vertical-align:baseline;mso-text-raise:0%font-family:+mn-cs;font-size:180%;color:#DC9E1F;" ><br /></span></p> <p style="line-height: normal; margin-top: 7.68pt; margin-bottom: 6pt; margin-left: 0in; text-indent: 0in; text-align: center; direction: ltr; unicode-bidi: embed;"><span style=" Arial Narrow"; color: rgb(220, 158, 31); letter-spacing: 0.3pt; vertical-align: baseline;font-family:";font-size:32pt;" ><span style="mso-spacerun:yes;font-size:180%;" > </span><span style=""><br /></span></span></p><p style="line-height: normal; margin-top: 7.68pt; margin-bottom: 6pt; margin-left: 0in; text-indent: 0in; text-align: center; direction: ltr; unicode-bidi: embed;"><br /><span style=" Arial Narrow"; color: rgb(220, 158, 31); letter-spacing: 0.3pt; vertical-align: baseline;font-family:";font-size:32pt;" ><span style=""></span></span></p><p style="language:pt-BR;line-height:normal;margin-top:7.68pt;margin-bottom: 6.0pt;margin-left:0in;text-indent:0in;text-align:center;direction:ltr; unicode-bidi:embed;mso-line-break-override:none;word-break:normal;punctuation-wrap: hanging"><span style="font-family:"Arial Narrow";mso-ascii-font-family: "Arial Narrow";mso-fareast-font-family:+mn-ea;mso-bidi- mso-color-index:3;letter-spacing:.3pt;mso-font-kerning:12.0pt; language:pt-BR;vertical-align:baseline;mso-text-raise:0%font-family:+mn-cs;font-size:32.0pt;color:#DC9E1F;" ><span style="mso-spacerun:yes"><br /></span></span><span style="font-family:"Arial Narrow";mso-ascii-font-family:"Arial Narrow"; mso-fareast-font-family:+mn-ea;mso-bidi- mso-color-index:3;letter-spacing:.3pt;mso-font-kerning:12.0pt;language:pt-BR; vertical-align:baseline;mso-text-raise:0%font-family:+mn-cs;font-size:32.0pt;color:#DC9E1F;" > </span></p> <p style="language:pt-BR;line-height:normal;margin-top:7.68pt;margin-bottom: 6.0pt;margin-left:0in;text-indent:0in;text-align:center;direction:ltr; unicode-bidi:embed;mso-line-break-override:none;word-break:normal;punctuation-wrap: hanging"><span style="font-family:"Arial Narrow";mso-ascii-font-family: "Arial Narrow";mso-fareast-font-family:+mn-ea;mso-bidi- mso-color-index:3;letter-spacing:.3pt;mso-font-kerning:12.0pt; language:pt-BR;vertical-align:baseline;mso-text-raise:0%font-family:+mn-cs;font-size:180%;color:#DC9E1F;" ><br /> </span></p> <p style="line-height: normal; margin-top: 7.68pt; margin-bottom: 6pt; margin-left: 0in; text-indent: 0in; text-align: center; direction: ltr; unicode-bidi: embed;"><br /><span style=" Arial Narrow"; color: rgb(220, 158, 31); letter-spacing: 0.3pt; vertical-align: baseline;font-family:";font-size:32pt;" ><span style=""></span></span></p><p style="language:pt-BR;line-height:normal;margin-top:7.68pt;margin-bottom: 6.0pt;margin-left:0in;text-indent:0in;text-align:center;direction:ltr; unicode-bidi:embed;mso-line-break-override:none;word-break:normal;punctuation-wrap: hanging"><span style="font-family:"Arial Narrow";mso-ascii-font-family: "Arial Narrow";mso-fareast-font-family:+mn-ea;mso-bidi- mso-color-index:3;letter-spacing:.3pt;mso-font-kerning:12.0pt; language:pt-BR;vertical-align:baseline;mso-text-raise:0%font-family:+mn-cs;font-size:32.0pt;color:#DC9E1F;" ><span style="mso-spacerun:yes"><br /></span></span><span style="font-family:"Arial Narrow";mso-ascii-font-family:"Arial Narrow"; mso-fareast-font-family:+mn-ea;mso-bidi- mso-color-index:3;letter-spacing:.3pt;mso-font-kerning:12.0pt;language:pt-BR; vertical-align:baseline;mso-text-raise:0%font-family:+mn-cs;font-size:32.0pt;color:#DC9E1F;" > </span></p>cidade queridahttp://www.blogger.com/profile/14585015296806276916noreply@blogger.com0tag:blogger.com,1999:blog-3105487844897320830.post-90210836518606297242009-06-05T07:03:00.000-07:002009-06-05T07:37:37.433-07:00O Dominó como prática pedagógica<div align="justify"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhbeC4cEmcQu3IBXSbCyeOf3PHHln3HWGWURappOcTsrO9Yf3VFQsTxNOeG2uSTxcgTTx6uuNHDjcsdc58O3CbZs5lj9BKLqClhaXxCBHCRGqAEKbpQenTsokIh_3O-ai16SgriNDamdMrH/s1600-h/PIC_2964.JPG"><img id="BLOGGER_PHOTO_ID_5343850696207720994" style="FLOAT: left; MARGIN: 0px 10px 10px 0px; WIDTH: 241px; CURSOR: hand; HEIGHT: 183px" alt="" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhbeC4cEmcQu3IBXSbCyeOf3PHHln3HWGWURappOcTsrO9Yf3VFQsTxNOeG2uSTxcgTTx6uuNHDjcsdc58O3CbZs5lj9BKLqClhaXxCBHCRGqAEKbpQenTsokIh_3O-ai16SgriNDamdMrH/s320/PIC_2964.JPG" border="0" /></a> <span style="color:#ff0000;"><span style="font-family:times new roman;">O uso do dominó na pratica educativa é de fundamental importância, pois desenvolve o raciocínio logico da criança preparando o aluno para operações matemáticas.</span><br /></div></span><span style="font-family:times new roman;color:#ff0000;"><div align="justify"><br /></div></span><div align="justify"><em><span style="font-family:times new roman;color:#ff0000;">Isso torna mais facíl o entendimento em determinadas operações que envolve a subtração a adição e também algumas outras.</span></em></div><span style="color:#ff0000;"><div align="justify"><br /></div></span><div align="justify"><em><span style="font-family:times new roman;color:#ff0000;">Por esse motivo o uso do dominó em sala de aula vem se tornado uma pratica que facilita o aprendizado do aluno em Matemática.</span></em></div>cidade queridahttp://www.blogger.com/profile/14585015296806276916noreply@blogger.com0tag:blogger.com,1999:blog-3105487844897320830.post-3620131373609254262009-06-05T05:37:00.000-07:002009-06-05T07:01:57.067-07:00O USO DO DOMINÓ NA SALA DE AULA<img id="BLOGGER_PHOTO_ID_5343842209138397666" style="DISPLAY: block; MARGIN: 0px auto 10px; WIDTH: 569px; CURSOR: hand; HEIGHT: 252px; TEXT-ALIGN: center" alt="" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhhy4M_7LZ7gc_YNXk7c_MIEyTZhKKcdb-wzkUeT7WaaBxDZppRl4Rc0PmQDUFgZDJpFu8VyPgjYEthNwTEh10P3k4LJ64EtV5cMC42hKKPtqlZIu31bhhy6PttvbCyAWqjruylejbhF28i/s320/14329.jpg" border="0" /><br /><div> </div><div> </div><div align="justify">A origem dos dominós parece ser chinesa. Na China, o dominó tornou-se um jogo conhecido por volta do ano de 1900, sendo usado, segundo pesquisadores para adivinhações. Há menções de dominós na Europa a partir do século XVIII. Os dominós são populares em um grande número de países. No Brasil o jogo de dominó é bastante conhecido, e sua popularidade é grande entre adultos e crianças</div><div align="justify"> </div><div align="justify"> </div><div align="justify">Através do dominó podemos classificar e estabelecer relações em diferentes circunstâncias do contexto educacional. Os jogos estabelecem uma forma de atividade do ser humano, tanto no sentido de entreter e de aperfeiçoar ao mesmo tempo. O dominó é um jogo tradicional, coletivo e conhecido das crianças. As interações permitem momentos de comunicação e de construção de informações compartilhadas. A aprendizagem através de jogos, como dominó, permite que o educando faça da aprendizagem uma ação interessante e prazerosa. Os jogos estão em correlação direta com o pensamento matemático. Pois nos jogos temos regras, instruções, operações, definições, deduções, desenvolvimento, utilização de preceitos e operacionalizações. As circunstâncias de jogo são ponderadas como parte das atividades pedagógicas, exatamente por serem informações que estimulam o desenvolvimento do raciocínio, porisso devemos utilizá-los em sala de aula. O jogo de dominós permite trabalhar contagem organizada, representação decimal, paridade ou construção de material para laboratórios de ensino. São recursos atraentes e eficientes, que auxiliam os nossos educandos na arte da aprendizagem e na construção do conhecimento. Referencias: BORIN-Jogos e resolução de problemas:uma estratégia para as aulas de matemática.</div><div> </div>cidade queridahttp://www.blogger.com/profile/14585015296806276916noreply@blogger.com0tag:blogger.com,1999:blog-3105487844897320830.post-16150426308909982212009-06-03T16:19:00.000-07:002009-06-04T16:57:50.919-07:00A importância da Matemática no dia-a-dia<div align="justify"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjtm6ag4wpxaNZRpjaxZDZ2uBecEqZc65CrGh54F17Tz5_G6aOFyRL7fBh6KthoR2gSZ_BSsRvIWnAAvvDrr_8lunF6HY-Sg6D8HGTSJ7-QN21Jl6jBMTw0RGhmGojeVUIpAgCtwTA0xgVC/s1600-h/001.jpg"><img style="MARGIN: 0px 0px 10px 10px; WIDTH: 300px; FLOAT: right; HEIGHT: 159px; CURSOR: hand" id="BLOGGER_PHOTO_ID_5343246180129778530" border="0" alt="" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjtm6ag4wpxaNZRpjaxZDZ2uBecEqZc65CrGh54F17Tz5_G6aOFyRL7fBh6KthoR2gSZ_BSsRvIWnAAvvDrr_8lunF6HY-Sg6D8HGTSJ7-QN21Jl6jBMTw0RGhmGojeVUIpAgCtwTA0xgVC/s320/001.jpg" /></a> <span style="color:#ffff00;">A Matemática é uma disciplina com características muito próprias, sendo utilizada em praticamente todas as áreas do conhecimento cientifico e, principalmente no cotidiano da sociedade. Contudo, seu ensino nas escolas não dá de forma satisfatória, deixando muito a desejar, principalmente por existir uma notória lacuna entre a Matemática escolar e a praticada no dia-a-dia.<br /></div></span><div align="justify"></div><div align="justify"><br /></div><div align="justify"><span style="color:#ffff00;"></span></div><div align="justify"><br /></div><div align="justify"><span style="color:#ffff00;">A Matemática ocupa lugar de destaque na vida escolar dos alunos, desde as séries iniciais do ensino fundamental. Seja pela misticidade do mundo dos números, ou das formas geométricas, a Matemática se destaca por possuir uma linguagem própria, que a torna uma disciplina “diferente” quando comparada a outras. E é justamente essa diferença contextualizada na realidade social dos alunos, que faz suscitar a importância da Matemática em seu dia-a-dia, tendo em vista o papel primordial que representa o conhecimento matemático na solução de problemas do cotidiano. Contudo, essa disciplina, nem sempre é abordada satisfatoriamente nas escolas. A Matemática estimula o racícionio que é adquerido com algum tempo de aprendizagem, o que facilita outros aspectos que pode sre uzado também em outras áreas do desenvolvimento.</span></div>cidade queridahttp://www.blogger.com/profile/14585015296806276916noreply@blogger.com0tag:blogger.com,1999:blog-3105487844897320830.post-51917716962626681702009-06-03T16:08:00.001-07:002009-06-03T16:08:45.331-07:00cidade queridahttp://www.blogger.com/profile/14585015296806276916noreply@blogger.com0