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\303\241lculo IT\303\263pico 8: Analisando os Gr\303\241ficos de Fun\303\247\303\265es 2 -
Extremos e Ass\303\255ntotasPara cada fun\303\247\303\243o, encontramos: - intervalos de crescimento ou decrescimento - extremos - intervalos de concavidade - pontos de inflex\303\243o - ass\303\255ntotas Exemplo 1
f(x) = sin(2x) - 2 sin(x), x in [ -LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVElJnBpO0YnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRidGMg== , LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVElJnBpO0YnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRidGMg== ] restart: with(plots):f1:= x -> sin(2 * x) - 2 * sin(x);plot(f1(x), x=-Pi- .5..Pi + .5, color = red);D(f1);Temos: f1' (x) = 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 = 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 = 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 vez que temos valores cr\303\255ticos quando cos (x) = 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 OU cos (x) = 1. Relembre o gr\303\241fico de cos (x). plot(cos(x), x= -Pi..Pi, color = red);solve(cos(x) = -1/2, x);Vemos que nossos valores cr\303\255ticos s\303\243o: x = 0, LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkmbWZyYWNHRiQ2KC1GIzYkLUkjbW5HRiQ2JFEiMkYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Y0LUYjNiQtRjE2JFEiM0YnRjRGNC8lLmxpbmV0aGlja25lc3NHUSIxRicvJStkZW5vbWFsaWduR1EnY2VudGVyRicvJSludW1hbGlnbkdGQS8lKWJldmVsbGVkR1EmZmFsc2VGJ0Y0LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVElJnBpO0YnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRidGMg== , e 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LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVElJnBpO0YnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRidGMg== . Vamos olhar para o dr\303\241fico de f1' (x). Portanto, f1 est\303\241 aumentando em ( -LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEoJmluZmluO0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= , 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LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVElJnBpO0YnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRidGMg== ) e (LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkmbWZyYWNHRiQ2KC1GIzYkLUkjbW5HRiQ2JFEiMkYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Y0LUYjNiQtRjE2JFEiM0YnRjRGNC8lLmxpbmV0aGlja25lc3NHUSIxRicvJStkZW5vbWFsaWduR1EnY2VudGVyRicvJSludW1hbGlnbkdGQS8lKWJldmVsbGVkR1EmZmFsc2VGJ0Y0LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVElJnBpO0YnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRidGMg== , LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEoJmluZmluO0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=). Uma vez que f1 possui um m\303\241ximo local quando x = 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LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVElJnBpO0YnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRidGMg== e um m\303\255nimo local quando x = LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkmbWZyYWNHRiQ2KC1GIzYkLUkjbW5HRiQ2JFEiMkYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Y0LUYjNiQtRjE2JFEiM0YnRjRGNC8lLmxpbmV0aGlja25lc3NHUSIxRicvJStkZW5vbWFsaWduR1EnY2VudGVyRicvJSludW1hbGlnbkdGQS8lKWJldmVsbGVkR1EmZmFsc2VGJ0Y0LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVElJnBpO0YnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRidGMg==Agora nos viramos para a concavidade. D(D(f1));Portanto, f1'' (x) = -4 sin(2x) + 2sin(x) = -4(2sin(x) cos(x))+ 2sin(x) = 2sin(x) (-4cos(x) + 1)Uma vez que , f1'' (x) = 0 quando sin(x) = 0 OU cos(x) = LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkmbWZyYWNHRiQ2KC1GIzYkLUkjbW5HRiQ2JFEiMUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Y0LUYjNiQtRjE2JFEiNEYnRjRGNC8lLmxpbmV0aGlja25lc3NHRjMvJStkZW5vbWFsaWduR1EnY2VudGVyRicvJSludW1hbGlnbkdGQC8lKWJldmVsbGVkR1EmZmFsc2VGJ0Y0. Desde que LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkmbWZyYWNHRiQ2KC1GIzYkLUkjbW5HRiQ2JFEiMUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Y0LUYjNiQtRjE2JFEiNEYnRjRGNC8lLmxpbmV0aGlja25lc3NHRjMvJStkZW5vbWFsaWduR1EnY2VudGVyRicvJSludW1hbGlnbkdGQC8lKWJldmVsbGVkR1EmZmFsc2VGJ0Y0 n\303\243o surge de tri\303\242ngulos padr\303\243o, podemos somente obter uma estimativa num\303\251rica para a solu\303\247\303\243o para cos(x) = LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkmbWZyYWNHRiQ2KC1GIzYkLUkjbW5HRiQ2JFEiMUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Y0LUYjNiQtRjE2JFEiNEYnRjRGNC8lLmxpbmV0aGlja25lc3NHRjMvJStkZW5vbWFsaWduR1EnY2VudGVyRicvJSludW1hbGlnbkdGQC8lKWJldmVsbGVkR1EmZmFsc2VGJ0Y0. Vamos tra\303\247ar f '' (x). fsolve(cos(x) = 1/4, x = -Pi..Pi);Conclus\303\243o, f 1 \303\251 c\303\264ncavo para cima em ( LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbW5HRiQ2JFEsMS4zMTgxMTYwNzJGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRidGLw==,0) e ( LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbW5HRiQ2JFEsMS4zMTgxMTYwNzJGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRidGLw==, LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVElJnBpO0YnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRidGMg== ) e f1 \303\251 c\303\264ncavo para baixo em ( -LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVElJnBpO0YnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRidGMg==, LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbW5HRiQ2JFEsMS4zMTgxMTYwNzJGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRidGLw==) e (0, LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbW5HRiQ2JFEsMS4zMTgxMTYwNzJGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRidGLw==). Existem pontos de inflex\303\243o quando x = - LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVElJnBpO0YnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRidGMg== , -LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbW5HRiQ2JFEsMS4zMTgxMTYwNzJGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRidGLw==, 0, LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbW5HRiQ2JFEsMS4zMTgxMTYwNzJGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRidGLw==, LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVElJnBpO0YnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRidGMg==. N\303\243o existem ass\303\255ntotas. Exemplo 2
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f2:= x -> surd(x,3)^5 - 5 * surd(x,3)^2;plot(f2(x), x = -10..10, color = red);D(f2);Muito complicado!! Podemos fazer melhor n\303\263s mesmos! f2 '(x) = 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 = 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. Portanto, f2 '(x) = 0 quando x = 2 e f2 '(x) n\303\243o \303\251 definido para x = 0. Uma vez que temos dois pontos cr\303\255ticos: x = 0, 2. Vamos tra\303\247ar f2 '(x). Uma vez que f2 '(x) n\303\243o \303\251 definido em 0, tra\303\247amos primeiro com valores negativos de x e ent\303\243o com valores positivos de x. Conclus\303\243o: f2 decresce em (-LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEoJmluZmluO0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=,0) e (2, LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEoJmluZmluO0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= ). f2 decresce em (0,2). Portanto, f2 possui um m\303\241ximo local quando x = 0 e um m\303\255nimo local quando x = 2. A fun\303\247\303\243o N\303\203O \303\251 diferenci\303\241vel em x = 0. Agora nos viramos para a concavidade. D(D(f2));Novamente, muito complicado! Podemos fazer melhor n\303\263s mesmos! f2 ''(x) = 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 = 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. Vemos que f2 ''(x) = 0 quando x = -1 e N\303\203O \303\251 definida quando x = 0. Vamos tra\303\247ar f2 ''(x). Novamente faremos dois gr\303\241ficos para evitar x = 0. Conclus\303\265es: f2 \303\251 c\303\264ncavo para cima em (-1,0) e (0, LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEoJmluZmluO0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= ) e f2 \303\251 c\303\264ncavo para baixo em (-LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEoJmluZmluO0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= ,-1). Existe um ponto de inflex\303\243o quando x = -1. N\303\243o existem ass\303\255ntotas. Exemplo 3
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f3:= x -> x^2 / (2 * x + 5);plot(f3(x), x = -5..5,y = -25..25, color = red);Usando divis\303\243o longa temos que f3 = 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 e portantoy = 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 \303\251 uma ass\303\255ntota inclinada. D(f3);simplify( 2*x/(2 * x + 5) - 2 * x^2 / (2*x + 5)^2);Portanto existem pontos cr\303\255ticos quando x = 0, -5. Note que 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 n\303\243o \303\251 um valor cr\303\255tico assim como a fun\303\247\303\243o n\303\243o \303\251 definida aqui. Para determinar onde f3 '(x) \303\251 positivo e negativo \303\251 suficiente considerar 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 ,uma vez que 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 \303\251 inteiro positivo ou 0. plot(x*(x+5), x = -10..10, color = red);Portanto, f3 est\303\241 aumentando em ( -LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEoJmluZmluO0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=,-5) e (0, LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEoJmluZmluO0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= ). A fun\303\247\303\243o f3 est\303\241 diminuindo em (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) e (LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2JS1JI21vR0YkNi1RKiZ1bWludXMwO0YnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGOi8lKXN0cmV0Y2h5R0Y6LyUqc3ltbWV0cmljR0Y6LyUobGFyZ2VvcEdGOi8lLm1vdmFibGVsaW1pdHNHRjovJSdhY2NlbnRHRjovJSdsc3BhY2VHUSwwLjIyMjIyMjJlbUYnLyUncnNwYWNlR0ZJLUkmbWZyYWNHRiQ2KC1GIzYkLUkjbW5HRiQ2JFEiNUYnRjVGNS1GIzYkLUZSNiRRIjJGJ0Y1RjUvJS5saW5ldGhpY2tuZXNzR1EiMUYnLyUrZGVub21hbGlnbkdRJ2NlbnRlckYnLyUpbnVtYWxpZ25HRmluLyUpYmV2ZWxsZWRHRjpGNUYrRjU=,0). Relembre que a fun\303\247\303\243o N\303\203O \303\251 definida para x = 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. Portanto, f3 possui um m\303\241ximo local quando x = -5 e um m\303\255nimo local quando x = 0. Vamos nos virar para a concavidade. D(D(f3));simplify( 2*1/(2*x+5)-8*x/((2*x+5)^2)+8*x^2/((2*x+5)^3) );Portanto, f3 ''(x) = 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. Conclus\303\265es: f3 \303\251 c\303\264ncava para cima em (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, LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEoJmluZmluO0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=) e \303\251 c\303\264ncavba para baixo em (-LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEoJmluZmluO0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= ,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). A concavidade muda quando x passa por 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, mas 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 N\303\203O est\303\241 no dom\303\255nio da fun\303\247\303\243o, n\303\243o possu\303\255mos pontos de inflex\303\243o. a3:= plot(f3(x), x = -10..10, y = -25..25,color = red):b3:= plot(1/2 * x - 5/4, x = -10..10, color = magenta):display({a3,b3});yIpyIr<K_Tn^T^;N:L`^C:yIu@K\\PqkhpvF:CZ:N;xYqo[;_fiOf_CS;P:FZyYUCND<KB`KC`kMXkEXLSTlITLStLMTLMTLQtmTPmTP]x^b;Gb;GBLN\\LN\\::::FZOF]S>^V>^`>]Rn^pn^Zn^p^bpV_en`>_b>OboNb>_b>_B:::::ry;pB\\ZKa:AR:?K;@k:HjB@jyMfOL;Hj:@J:B::FZ<^Z?VZ@FZ;FZ;J:B::F:AB;[j:LZ>VZ?nZ=nZ@NZ<V:@J:@K;HjJ@MCLjZ@o<@prDlCLk:AsJAuZEmbENc<yjEPsHlD@Y;EsSLM=HNLDTSEv;QmB@J:DJ;Dj:LJ;Dj;V:<J:FZKNZLF^=F`;Gd\\N`[Gh;PbKPdMFnk`ZyQUSr:=J;@k;@K:x]pIgd?[PPcgplcGba?d@?nm`yniq=WoBGtNI\\b`_iAdY@oDg_[@o]>dSoyuwnainPvqbX^JKwlMtETgeK;Qm<xsmITdil^pp@HNGQm<xSoAKoEk?]Po\\JdUky\\t]\\T_p<aeK=WmIexCFicibdm=MMolKeYQNYNNo`bOwVFtbXhSoq[p]_@_SinfXh@GpGqftajHhvon`cWwVFtfXhSoq_x_LOmU``oqkbots^oIQdIPdT<jYEoAkTPMA]@^dI`dTpnGic]Omonkew_Oi^dYlMofhHpGQ]Ai`QPwLhxCGomxdRovGXfTXsoA_oIcd`wNqtsVnRovlhyDgaDOgf_tP=NdwNdd_gN=bLAEVMTjecGM]MatPffU@oLq]aW\\NpbeOawirpXsPWpIFvCPeAI[Pxfrvj^`tK>oiV_aaeyNxEouLgxqw[vijeoylvmnyjd`tK>OUSy?XvmiyObFOyp=F[CE=WFJYV\\SyMkIsyGwIvdgXHA_jpxWYbFAk>Nw]V`LxwdylwNeSYofXh@kldYLqUcd`OqtsVNDuXIoKQWuhtNIue:OxHcg]UYGUSeSwVG\\^OynPi^`tppprXx@?qmIe=vhDXfqOkdopPytX>gPmIUoAUOGUSeUwVHDNdwJEQWea=fYucLov`e;rect]ttLQuttRnXWIhpMPwLexcEOgeykqVGHx`MPwLUwLUdUUY]usU>tkPyMedCgXHjxDoXBUghom;pUcb`qnttbP=NmUh@:beGWmutRoVGV_OY^Oq^`hsW;ZcFom<VSKTwMTdHOfTx@cleYLoIccXpMGeaeKfFdQL;:LSdaG:cfXC?:LtXs`e;:dC:JDmpdUGNP_L_@oSYOf:\\ntobGiEP=v^dQlQpf`HpGQ=eS_Oy^eYDGTmU<v?ASoEs@eSGW>xUcB_SEog@fYDobHuc\\_Gl_G_t_nNudS?P`N<M_@;C?qtOkdsbl`n@iVMQtTQQ<PWGtTdut[PLMLk_PlI]uOTnfllpEV[`THMkZlvMUPv<qZ`v=QUcDr>\\M<XnIMLf=U\\XMl=Rf@tHIM;EM\\TTnIJ?QKTYl[LsfmJOEkfTTfUt:EKBaLSQrCQK\\evfPjb`kg]kI@k;pu]Lwe=SBYYPiqPYM^tV_XY_`wGTXp^gxWg^XvKv\\fnbMW`JwqTIl_vhpHn?^rZIqppcL_hSQ^Bh]aVbp>_GIZDxchic`nvbpcrWnKObl^bHFsL>dBiaBHjDycGa[Fht;FlBo]bWZDOZ@vcnFaB>c?>b^qvX`nYPjU^\\N_m^`fA`h_OmcFq=_lNXv^Pfk?dDg\\DQgpng]xd<xoN>yXHZN_uiy^y^Z;_jrFvChd?AtB@fRo_RHvxGeVhqPh`kN`_^vmO_@fr:iuMFlDn^?Qu[vjMg`Fisl_lQY]hVt:prA?^o@ceifTAhR>s^yahO[oNbQg]ZVqwQtaYyNHgb@uZYf\\^iLOyqg_T@_GHb<Xxpifmwo]pokFdagcx_dRG_tP\\JX[GvZ_n[M`nOn[L_aL^tm?cZHv<H_Ch^b`lVNZKO[cHmZ>s_Hm;_r\\@mK@b_^_<@aZf`cNg?ab`_mm?boQf_@obH_bnj^OsH_dD?ab>slFdNadDPjdh`NNa?o^OwcLg`NVp<GnCp]B^tLWb\\h^b@xIGdJowF?_CPwGOsI`ZSAboY^Q_`LpfKg[KIo?O[@`^RHl\\AnR`bBWc<PiDXjc`fZHlbNhL`g\\xjb^hm>nZ?\\;V`^nqcOnMnl?Q]Lxsw`@Csb]TlmrbCs:cV@cbR]d_KTZ_hFMTascf[D<_cJWR@;CASVnKWvMt^[EbsRbMxJ=CoGBc?BNsHn=fLkHj?IJwUTmEvEC[?vsmwcSh[mB]gfRQi]]C_CSs]SEiGsaV_YxR;eiGrCYy]ChECW?WHXofUms\\AsB=h=KXlmJIDTb`XltRlQU;LNJEkSDnFho;LsWLLAMy@dVghSLtk^XMT<olqMxLsidSj@JieRbewDitidWSUQQQuOiYePLVenfllwEVbUS_PrvmLTEt[Ls_XL?LnSLtK`r\\xKnlKvITNTyDTlvdmphRH@SCup:ljlMW>mN=Tnb@JJTT;lnPAtJLsFQjgLnfPLK<RCLvfLptpJ]auv@qwIpIeqYmuY]vPYVh=q?`juhxAmxlmSwQLhPLlLrK`rLDrtMycpkPENV=YFtslLPtplOISV=SZ]qkxw\\iPqXlZYpSilHeooer@QsPuSKauDDlBmjVeTN@j^DSN\\RHEOOLNS<NOLr^mK_TSnTpZDkFTLc@j=DSKYlRmJLmVK]WO]rSItLLL:QoBLPILVlURkQO\\ho>avFLxLas_hR<<OfAXGIKpaJx@SZTNLLtRPVS`odlMCAL[gcVQpDHowFnKPr?wbKIePPnO_wQ@cK`dGWpBa_Ia]o`]jivwqqgXZVGZQh`LouWxbBFlVIdZvf]ff>HkaO^rIZCAhdx`hwvwY^[n[H^d=QqrIolNwhhgHqsY@eDQdXftPgd=qgCVhcv]tWtlPqdwlQH_DWurnrRvpy?ZVX_^hyoAmpqvqhaoQrA_dd`hcAbrWniF]HiZfob<Gr@xZBhdqVeW^p\\f^]vmTYfYHrjWuWw^LavJPemF^YHpsOxEA_Wxoiwhror`N_cPnNGe[fa[_tlp[uXvkF`jWvk^e\\ViL>a>^rk_wBWvTPt;xs<dH]V=?FM=XxOGc]UDCyH[h;KCH?i\\AD=_T:cHckCBCEtACE[iMst^Ar?]DH?GnmBB;U<Sd]sR^[V:OR:KdscFVIh^]E@Kg^IEGWXLGsKER@uC;CIb?eKOUoaV?atBKFE;Y[]fguhmmX>_SseH\\ovp]XaAWUucOmH=mF<SU?UE?mVLcftGVh]SJMXAQYi_icMF@UXjur\\CVSMRZKs?MVlgdR?EXMnsDO?LQeULfHtsPPThn_Is>YqJHmBPXDDvKHKXPsJYUcuk_`LO`vDHmt@MZexu]laHqU]RsLpG@UgxSmXm]qyJEKCEujlOoXkE<Wv<rVaqwuQsxiDgbIAkSWsRVxjvvShrEvnWxpay_nAoUpxZYaY`xeXdga_gykuQb[^he^lffjfHfLPwRI_gBcshnkBRkVkCE<CUS?v\\wCDmBx;c=KulCrS_VCIFY[Vl;I>?B\\[ra_M?QncupnLX==o\\lJLaxS<t]LkSTPI]Nqdp<dsfTlrpNDENFHTLlqCAMbTlLpkfATrqNVET=aoGeUXaUVWcGWhxHl^_[rovP>xDanR@q`WdfGoR`mmW[lobp>bUw[pXcIiohvlrHgTf^NpqYqvwYwipfqv\\fqsMfsfNpNvv@^_MP`mQq\\@snGuFNn\\@u\\om_?`WvZZAoFGsF^d:@hP`gKFdC_mcHZ@@_PpcO^dl_b;Gsj>]\\GjDP_xYukPgQqxfhobhfgxeTIpevZfflEnrD^yl`dh`Zb`td>\\SNk:w`BHoFGaF_vCoxb>oH`e<VljNhYPg\\>`@WcDwfL@f]N`baj<_cdafZNn\\^s:`\\B@cHP[\\`_<`\\ShdYie^atB_srQbkx\\nVl=y]wwiWHgioprfZXG`mN^k^sPH[gn_ExbU@qPQh:htgAvwXlkyrnYxAOsywg;gc=ggNWgY^lvgdeW[OPgcAfdpfvphnysl`_PPg?_[PPsfVl`ns<h]NGbJ`dBaf:hDCE\\_DDGUJ_j@Pv^Ds`MO\\LrS`lSLLaQoBLpAQLK<KheNNUX`mKJqRf`LFduFHUgLNs\\Kl<SmtQ?XnM@NHxnVQKI\\MLYnTTL^mS_HNYDWOmrRaMNIuuatBHVk=R<HNyQV:DNYdnMlsXeRZTP_Pm=<klYnwlmk<O_IlbxXjeUelm`PVeHUwYs^\\y^qu_yvhQMApwbpvOiw;lpkYuAMpMMY?tWkuO\\TNgISLYUAIN:MxWdNAQV<mThiNJ`nuuLQhN_aqEMsEmmMmok\\ksuLFIySLsyo[L_mpFxZ?]j?k]YymOcsxuy>\\=`r`?aahp^xum^gwim;`g>Q[e`lshZbXwBXkCY^c^m]@]_oQIR:KVQOu]wVCARxwuTCfMkf:qUowW`?bDev[ac\\IyowrSmhnmikuSo=GEyrqwh?eV>SvrKwxgBQYD[wVpQGogvpmGsidUwfYys_WruSFUGyWeYsAgrcrM[DdwuJSYB?UTgsLKdO=EfqVfwTh_hCOgQStYQI_Uu>UbHWidyI:gimyCcGYeeD<[VL=i^aiw?DW]BEEg>gwTcwMYue[gckDoEHXgVfUY`GhSwEpmwy;RVOwIifrcrMXtSDk=lMeMMJlPI=SPuxjqoA@ju=pTutCLskmnq`WFTvuXxbytdtqr<YkejRMqJXu?qVr`XUqJMivaUsLluKPuk\\shxuFEulhvriLDYNHEUwIVUaoa]kkUynpsxIn@xMBHTetxOqtD\\rBQVcpKMlQ[qxTaXsetbEL]lKCYPGDXMlvkDUyao\\xLquPQarn@mutJq]uHPyiHTkQKAdtydthARehtnhMFV_m?]]qdaqkWGqVYvvf`HPy=`j;xkigZXA`volOWy=_cCGa[GxTgeFVwIXkbFoV`b>gfIXoWGi_Y`PHasijKypJnks`fdxcw_dIOuyesQrHOWwmbuSWFMfTAiwIhtOwnagfSxPErDsbYwYMawmsFHEXgugqahSuhbyUdSCG_y<iSc;hLsHOiyH=sgYwOsb:YFM=F_QfVodlAG<Yw>SSWshwWdq?e@ieuMidoDJ_BA=HQuWYysb?qodMT`Rr<VNtjAyLdUKk<QuUSmimYdWEtRwIBtpj`OLAMLLp_YmrHwmXu=aSHaMuutXUL[Epj`vo\\L?mrRAyNtrvtOfXPmqmdXYsUlvOwUVcnVc;?sryjOybmwawQluOdxpZc@a[QvDHwv^yy^]rVvkqoYYcchgK_rpa_Hhn\\vgIq^TWqcFk:As^ObBiurypafqmwr@QdeIuHAeqNygGhhxol^s>VbOhKOioWISCDI[Sr[BgoS[ogG?WfmI\\QrFQeHQyx?Y<iUm]ckeepwcqMfa]UHQE_sYRoTGuDE]EM]XT=h\\iXAGTbGVZwYcQbHeFXkuFsCCeFpydNUV^oGNHs=YjZinpHUSmw^@LnLv>MPPMW[uLD`RFeTEEy]ekFuTiTQsIpK<Ka`J?tTBEx>]qPUyP]Rj=JjYUHuvdEkmYWAeMhEVQEvNYouiLhaONXVAPvJXl^Iqt<MTTX;YX<LukuR^XJ;ArSUpBYv:DSwhNk@r;]rKEm[lJl\\s]ML<InEpNs=X@mV@qkC=nAMmW<PJmpfAd[OkwSEabCADbCRn]TFsRNov^aUNOS;;vJos^]UD_btCBmGFWcigMU?[rFEc`afGKum<T`\\vmLvJisXUmL<Nu@LVUTZDX=MqpPsXyt\\tRSTSO<ULXkFPrPuuQQoaLVkDuext>\\urdVOtOAUk@pvRLum`yWYWUPOWpm`amclLMmkuPRw\\vRtOxDTMqSKupPpV@Nd_ojBPZ@`gNAk^IlDNo>Fanw`HNcgWj?F\\XFe\\Nns^kJau<>i:FrGFkvGtKwfhycsP^of\\bnjvi\\OgubPejHs_gwkY_LG]fNsVPpOg_PosDgo[`tR_dRhrBwJ?sReBDIVkED_ysDMsF=CiOCQ]RCgBUar:EbCMt`oH]?wmoFYcD^KhBABbMG;mVn]rDYrdqdd=HPOxB?iO]YRMfQWttsSpOxSMVCgetQv`giVSia[bQiVbaXs[HUmCmsi;QRmYsSEdYUTFIVtKv<IGU]iQSYWIhGEYV_Uh;vc;sseb>sge_GZsB>]eNGE<YX?mTKmFBqR?SCn?dbUb\\YRCsc^]RWCt@OV@ch]MsfOc]EeG?iawFTkcb;gm?fhCe>EeN[fSUhCeeFAf[Orbmvj;r^OUWucDmSe?CCgW<aSRCXdaw;MT\\;uHeX>Si<?cEYRmSDguEd]Sr[YO[tWxST\\rrama=RcpqMLuL=k]mjdEov=TYHNShSmXJU]N>qJ=Gh?OaE`]O^ihxaHaop_vxVg@@vnfxx?nxAtvhykIxqpgc`vpfkvXvHickidhq]Cv`PvkwPeYpkLngZ^cuw\\JVbQn[HV_HXdlqrwg]]_r<qtTiqkF\\DVesIw:@oa__OIdPqpopjf@cSql<x\\wNdSxta_uPWymNv[PakyoNxy:>[T_[@@kxYfa@unhoJXuNW_\\qsxomoim`Oyw`o>@bOYgrf]cyd`AeoWuqa]USy[GQYIQQUqaH@SwgyvM[R]wf<qh]wdncwC;ypyU__dvUdg@X;qUdmMD@KfYkMITG\\Svxity^]a_W?m`vsd_xNnd^odXVtno`yAZax`?Ig=ooQAdpgthBRirbScFmw_srH]E]?U?oGqEtV[brWXYQWcwU=yVxgTQiWPqwgsTf_sDYtWCeDAglyU>AR;WevIxAYEEeTRgvQUYryVfYrRUwDgiZ?YA]Tt=gsQITGBQ_wxQtnIfocrW_Xnid^_C;SSbCubSfJcht[TCSw]SRCsXdUugwdMSB<EYCyX@ufIwbQsdbASHyI:EwoAw_yfI=tPMyViV`?CXEvnqI]yCMuslgwliEQAYHKH<iWCSvgYw_GFvyqHmvjYQ`tYLuOsMUu@QntjdISV]SUExk\\rLpppIV>PRIyvYHvQyY:xMeyQqpOfPUjTQQik?lUO]jxuNCdxg]ra@VCLXChXIUwYEm>YNQHlXePvlrPdVKDQIevdTtYEM]uxgPy[]nBhJ=TK_aSo]K^HQg<ooYj@doxdvmMR`qxAaRWhyklktdVko_kp^:h]_hhbih@A`mnlDwkPwuQWq]NsF>ZqaleQqjWuvNhY>hfQ___][_kjIfvvvX`aPXydX]^hbkOZw>qO@cUGf[AxMOnbitaFfZ>iO^io?aIVs?FqFPvew[H>iIae?yvuW_Wia;Ao@WrZqk=ojevqA?]Box]HoiGwVydRfdRpr?o_Y`hc^nDifVHoO`s]W\\`ytTFkHYf?A_FOwrpmOYnsXoOOb=?a]_w\\YpdGxTwp:WrO^m`Xpyxfh_qpWwPiiOOqcN\\VHoK@fTQnmxfgVe<XiNowCPn`?^qp__qrv`gUOs\\F`EA_xqsr^cHAi]yloAgoY[o>isG`qijYpdTyhAN[xQym@^fnkZG`OopUIsgws>pjsFk_fgFpbm^si>]aW`V`eCwihGpYVufxZJvoyohyVrhYcuIOChPSCXEfm[elssypXcIM[UPKamximbAO<=JCIuKTTKiQ?XxI\\KtXuEEVOmr^@YB\\oNlrspJuxN]]odpJeplIMujxxfhkZdThUKa=SR\\mDmTYEWFAQ<EjTDpC<qRdJMLnUQLRHjkXRkpRK@jJLWYUWkIOAdW[tN:lKdHNBAQh]R^UpX\\XFulvuR^vZIHrIobwG\\BXvHP_:W`VPs^nwN^jROvFXnFHpF?`?Q`Voh`b;OeBSSL_D:CrvMhGARGgFbkF_qI^yfXUfBWH]cf^=SJsRn_V^GdaOE<]SD;I?KvC;r^<t`LVLyN:LT\\MsfAn@`LAAN^DX:AThDtaerqDRp\\SHPOo@kRLW>XX;=VHMQ^LVrmlXIKPpOxMMhhQfttxIo`AMHAQqPKfdPFmss`rt`XqiPKlLAEOApmOivQPNcmxsUQW]QZ]SyeJuYVEPqaMM\\TMndL]PlbmWViMKHJLHnN=J;=t>mKchjJqJGAr]uJ?ltB<VjEt:\\m<Iw_lKdhOhMKo@KZEP>QV_USHUJLmjdXKU\\YEhJa`KPpWRmPeMSSDOdtV_PuJaoVtlCxJ;iR?DYApK:Tkt<\\=VqbhnVImH>mGG\\MNjS>cAhrSbBsHN_SMaVS]b?MD_mXC]tNuuIWS\\QXfuwtQxeAdoEgc;vIcdZaylexnyr@muxsshUuDaiUCVHKxEAUT;EiywKGVesxHsByircHPWaQ=eYxenWAq^LsgUj^XS=<SV<tNEmF@KD`S^LRUdJ>EMl<Qc@JKPkB@J@dxl<LRLOLiO;=NS\\S>INWdt;=lDUM^NoLg[?q^MG^kAc@HrKfsCXbpN_fOwa^]PImmOt_Q\\PPl;ahPH[RFjC`dmG`?Qs@Oc^OwkaZU@bgad?GmDAk?>rBI_K`o<HknVbFflcWZI@fsanRIa:QhLG\\pw^N^]k^sdHnUX\\Yh^HAwUV^@XfJNqBpqcnm?ImB@mcPgr>d>@sIv]a?v[H]<NykWZA@]pI\\oiei@oQYvB@r`i\\UO_GpybVlSvkFY`pyoNVvixrivou`qGWxI`l_`g@_auGpDoZcim<wZIo_evjWxqaTBKesauNwYrcHcoBF]rwQS>IFuswiQdPcExIIrsRsofeUu?uSVwr>=vC_VrMyekgtsXPSI@eFoWHFwROASqeIPQg`ExnKekmcvGvqYUOir=CSAsDQww<atdMTdgIZAWfoXXwUDuUkidtqtXISI;d^YRsCYiuWOYVp?YuMfmQS?ubechu_cOIXLGyOwU`CtduuLIthEcSWePKF\\KvNAWROr\\]iKYISYcUsUosxh[hmctTOh]YxRCiReDmcHlsE>SHbEIHMV=EsSmxnACE=dPoUQIb^USFyUg_BVQSeqt=Uck;UegCR[v\\?Go_skUTTOePeSjAfVaDHGGmmb<GgUIYRIILKHROimyXUCyKOTgPV;tlc`vbtKDxTfUnaUk\\POyMwvpTCmkJAsF]RkxY:dPXPWoUQ[=KbQOUInJ<k^IUMEJhlkExmpQpsio@PVMPotxRmxMuIu`YQ=AVJ=prdoLdJGYvSEMIusoTsLqQRIo`mZLqleAghv[>q_N^xwQ\\Lf^d?[sXbH>aOPd[`s=AefadhHwkIlrgl]Hk:Wk`Gkj>sxqtsGoAgnRxl_Vgy^_JV^IiZS>om?k\\N^enkeagh>]`i\\\\HibFw_Nd[wmq@uT`vhqoBFhrfZMIZPH_cWv_FfVfujxkOf_\\V^?ImIWqXam\\weOFe]^_Aa^@?]snxa>\\@FecX`]irNH\\A>^L>tC_amhhwN^f^m;`_]X`Bvl;>q`pZZHwJHZ`adA@kp?_GQ^:a[JVZ\\ad=@hFgZDfbrq^<nlPXbtVsNGe^NsfOZ>O^]@jCU?gsJoClOFG]iDkDVMTaCbLcsvadS=d=;wZ[I<EeGCU`cX>scZcSdagW=Ga?wbsH`MBZkF<KGeWxdGBFiFXotb]WNOY^oUZCyOStCEY<iV\\AUEWvZIe]eea;sLsXfehyYVIqCdgIiwu<]HawdFEI[gHNmHf?ebQXi=i\\?IqiX]MyKccFifRSdZSRQ?VSKD[acB;gRYdXwSn?V^QH;CVQeR>iBJAXC=Sl;rRsHdagJ]h[OL?N`L_dDYvkNkfydcfZO>sFPd;^cHH_l>j^?jL?[^_bJOsFokbN^<G]C?lBXk[^lS`[=X\\hplGXfnhl@pptyy:nyyVxwo\\\\nxogy[gvfYyoNiBfiCaa\\piE@tSQk;yYYwy;riYCsoY[yGIih=yxfYwQeHlCF\\aDLIFQoFcqD;qf\\qFBSV?sRp_C?mHCMc?Mt`ecGAdD?Sl_c`SDdQfF=TM_fDOGCCcJqvBOtBqVCIg`KiJST\\WTY=VBgRAQG[Eyh_uTWgCWBj_rkuWPSFC?C;QXl]gUtOFHQN@m]=uNDs[MJ<yoDLnAHRg=TJlNHMXWumKdSlDPZxV?etmyMAHjL@kgTuLMW:@MXDkRLLWeTmu^q?>QR_;sj=ruKtKeROsBoCHJYiKmdCABdKW^MgOqwRmrrsRCUXQSI<]RWmfO=dpyH==bYcY[qtZ;XEWGkKrvsDwIXpUWcYfAyVUIfk[EsebpgCNIWBOvhoV@eF\\KvLcW@_wLKTHMgfKBV=XT[rB;Vl[C?mV@?GbCHbWV:SdwCs:?iZSc[eeBaT:cF>Se>]brcDjcE>OFsMH^khESfloSQeR>wBDIeNkccABB=FAmSD_cRMcwKG\\GclKTSCTPEt_CT`eRm_VSgsLOdn;GqaXS[C>;hSKwZ_R]Uc]OUSUSEovBmvEgfLoDV_EcKDrgf^eT>wEL]x[ECIGV<]SC[Bf;IZsrv_dn?BUYDR]D>;uFCxbMTHCyc;VLLoshVLLr^hLQ=sShnRqlL<J:HVT\\S^EunYtIaU^@xEMKTIN^PjsMpx`wN]RVlP;ISUdNgHOFIr]LV@=vB`vtHJGIN@DkbAJB`JmisEDoBlPdiUDDUHMvgDJImLLIl`mMDalBtKnlX`XjaPL?HnaLmwMSTIYhtXS=o@lO`LTsxkAEp><mFLtrdNGmP<ymPAlNHs[ALfYTEAj^\\j\\PLUXNsDRW`QLMTaeSO<jsxNRaL:\\YDYQN@lL=SaUtKPvFLP;Ml:dsFLW@qOYLXd<nddMBeqLlxYPKtDPOQY=LysUYxTwRuskTyCEXi`qf\\w_tNmIUxANepOUysqYWxAwvyTh\\yEuSXpul@Xe\\kOYq<qOvtO\\]K<`s``UJ=T=ANK@M?DNNTQN\\tSiQc]MWASZUyLPvDpKNDo^AMCEt\\ALitR_PsJPSfMX;iNHYs\\DJJUX[\\JcHNJhRJ`TS<k\\lJGeP>DuCLPSLj^EmCAlDUnEpY:ApftyqDT[uo?yt\\eX<au_TxEpSituYmTXpuIUpYqYxxY:lX^Hq:ay<]xLessqMApNWIJF=SitsZ@qpiYWPyxmObeV^Pp^AW;TkYXoiaO`PvTpKV`mO`pDujJIW]pxLIKMIp=<Xe<YNysCaK\\XWAhoxtSkUjCHytMvR=SpmxY<xLMwutYB]JZmmlYSj`OKpvamNIasltSHEx]DpEQoCux<XrpMsj@LheuoaqslvVpxbXVCpu@tRs]w?YlrlRAElYhRQhOq@tpXmvhKPAqcitEEXEHx>qr[<k[PRmeYZQWWIWHLP\\XnTmnm`PeeO_Qm?QRYytVYuq\\M?MXk\\JQhMEuRdasc`J^Dsl@KKxNo`voAvM]oV`xOhomxiXvo^ykCIctQfkpxPxaKguWqcZQrMN^rFfAh\\]`t_P_bN`h`bJ>ufpkixy:>_qibegxI@ylywYf`c@krY`MvxkGwuGkUadfQq^Gwv>i@fd[IqVihE^[bnaVoZ^nxp?ofQf_GpvxbqNyc^hcvkdYbCPtO?mBXuiNf`fx?PqpvhOAfNhomvj`iZyAZtwjKwut?f[^[`oiE>c?xvtVm=yhdHerwckXfY^llIqvWf?HtkhuHQ^m?q@ybWV_HxuwgfPGyu^mkggVwkZqpCQ\\tnjA?\\QgmdYnXgv]xxnvboXgSVuCxfbvtRhhdYeE@gu`c^>bZGeVWni?qFHjtHrb>m^IajAvbhhkpnjy[by]OGonPuHynma_m^Z?wm<Xp@A`AOuSWqgiuXxhMXZZPZ=vxe`pgo_dpiefh;qkZXnxHwxPnT?vT_iYO^mPwVyel@pOWfcYvM^xQ_svWd>QxUi[L`sdyhSGdC`jBxhTOqUNZlPiIavyAZqFtaw]gvv\\ie_?ofgrtpklh`tvolxuDOdliwhvy:Fggqdax]wAZyWjdAoYWpdW_x`]]Wvvqd\\ynIYqm^iFWihngFHvoGhF`k>WsYNiH`xhW_L^pF?[<FtAp\\OWoVYmfAnEowF@janm[>go?d?N`hWf`ynC@kYG`lFoopkeYh=^ff?fEF`Iav_`tiQpE@Zh`b>gjYYn;`vCwy:veKadeyahybsqic`]_IcyVcWOuMAqL^jfApDO\\Hfu]q[DvnJ_uUictHf\\VZ<vofqhMAoCns=A_DI\\bomEv_fxiypyJonv^vs`e\\oug?^F>xR^o]?qrpwvimaockx]\\_ukVsrx_xvixyjyEfSSrQixQeIQcwuGoieqsVxeu]]BxKsk=UhcFKSGhGxKdLIyY:@vXUlvdp>UYjTuUXYadslMpFXvTlQ]PMousmhLtIQTunXauv\\qkmKl`m<isSusoUQlHLqpsJ@yy=j<DqOQXVewfLPfUKBIvVYPtqXXyxSPKfiPJHj=QKkdLMDWmXXG`PqQnDqpt`kT@s;@OHPWaxsYMslQXhoyMYuCyedI^pXxhy]?WlsHubOnw`rlF`TVysIoG`cmOws`eIo]JhqthlK`uO?[Bqrm^_AgpAOiq>`Qah`W^:>hIx]LhoP?whqgUQwuYn`v^XX_EGo@XuIIumycM^kQFhNXppynqOqFhnEV]Cofy>v_tuawU;U]aUEEwowd\\wrdyC`sU_WufwIuyu_OiOyWiIcHUEYYWUKGqMbKgEpEs:ibU]y[ErMiuh_wOmE>gF\\ww_siL[XpUycKToqC=Cxbgr;?vesWtwFYUV_[FCau;?Sfar@_EoCxtAhgyXTHmvhWQmJrpXe`KkpxuYmppLDdWwmo;HkZayPpXWLO_UlLlTMTLVTpthNP=TZXWKpkhQoHiWOit<Uvq`Ky]WQqYn<m=aqcxtnpLieWFexB<RA\\QHeVhMokHKQHqsLS\\em_=qwyoYpXL<qmEsLAUieWq<KUMn>ApAum?xTdLSOprw\\PY@r>UxiIUOim_Ixptwp@QRhVY@PhDPMlmvDM_EPx\\yptX@ATdPXCLv=PqDQnGitkaM]yQjDqAxK;IWh]vgPuDItN@NeqKUfep?guqcKxaD@mAW\\iYgVXxXrnMyhMguStbsCMAdhYiiaWlCglESc;F=AgnEfRiFekemaRymgDuiK=ys?Th?rRyB?;fNYgCWwRQR`EiAyvh_wlsudCuL?vmSXEUdIEXZwErou]wCfAe]GwD]h;kFo_SB?xSermmwoeFqqUDYycOct_SZ?SJ]OUAwhupJaL]=VTTsryQ;qUd=rG`qUXp`EonQohxMDLldar@@OmmtxpPShY\\EqUuuIAscLVT=U:TYOis@PWEeooLUCIx=TXDdy@AuEDVCTjb@rd=lDhlUIJdaQrUJYpL`tqO@OHHMEQoDyW=QWrUS;ilwuvhhrULquhKbLjPMJIAky=j<tTt@rOArAlXf<U@eUAQxYyL_AlmxkaUrWyMIPpyXpGpJ=hVllnLUYuuJotRcqWauXylOpDpayRvqlWUj=<r:<RihqMIwOltcaJFqKLdX?XvRDMaYOGHVjDV_UymmvC]W<hrAER`iwfdUhaJ>xnpeKFAYvqlwhPRhWBinBEjmasl@rUEU_IxStO\\@jK\\W_HP`anIIk@tkHeUEEX]Nf=YdehyDynBgkxGdjv]NQs^_ywNkuAZmxlPHpkYsUviwglSonL>^j^_nX^rxZho_xy\\wFvMopIhdrPqvVfFVajidbNqM?ogqbm_lUOwoxdK>y\\ov`vijYpMyppvergjL`^nVkgVc^V_;pl:OZPgbK^\\i_r@Nb@O_aqdmhbX?eHyfZa<YCDYWOGxTmriET=wgx]HSsUlab:]eYEtTWiToGKGT\\KrGuhB]wGgfjuh@?sRGgBwbEExhcGgyDMSCHgvRwx>wsDOCMmEiUu]etpqfe_YKkVhWbVAHpcGEUFoUucMSmSY;Cx[EsJEuy\\myLMYite\\tApywhMYatE]s;ykCllpAthuX\\mrPppPXYuhYETRpevPauCMU\\UnXhtSTtpmTV]neAP=IsElKeyReDlW`q:LV:asx\\tAqTOMy`Mxp=uempHIv\\iYDdQEEY_mTBdT`HvIdpj]UPmxqLrkIS]xO?uRkuklDohykaIPATXeDTuMYEuPopughoupSb@SLHSB`nOxMNuXPet`QM^TrATleTqCpQTaJ^EjA<UPetu=OM`xf`K^\\WTLVAIJuQP@IpFmyTHM\\MMUYM_eytlKmlkIDtKiUEiXoDlm<PMloKHVjYs]hu`TrKMs=MVQpWl<m=aQehTWLYDiU]qWUPQqqPsqxHyrfLv]yr^UOhuPQtrmevCDLW<ruEUc]wyoriXqdqdHWwxygsInnacsOsy_ZkA\\JQwuvsE?vA`uloi;Vh@Xsm_f>_wrpR]R?itdkGq_fV;ugsTMCg=IB>awIsbRAUosEmyxbeFFcFBASReXFmVPuvKeUSgUtOGK[c@mvT_fBMBH;Bf=chCFiAIHKx`[E;[Uy[wNKRhsfdixEcRokHQiE?MFLsWZaXCEeZGHtgXt_WOyBmsrWEfgQXHEHSkWm=hSGfsyfVoeOqRKuNo]opXXpayOet=YOrAWiENeyMnpYMuoLXxeqQBiqoyk\\QkZmon=odeuQ=uYauwDmryLT`q=adOFrqWq_vrIg`ZYi_nZGGmBWf<`bN^dSG^;xrDPmBH]lGdJogvVtfWd;>xSnnlgdJ?]ZfZj>]ZojNwhc`eHPc_HbO@q^Akdg^C_bZPkMNb>^jJIjlV\\<_ZMH_^FjlF]pNbFnwkpew`oyAZ?`nvPnqy\\Ng_hhdYD<wDA?v<sbjcIwYx>YrGSuV_rgaxSEiuQw_]yGyW;SISiB[SF]KB^Sx?wdt_c?CDMCEJwSwwFtGYCWWd?IRmfC_DSiv;?USATWgGqqFIUXg?FHAU@CEg_bOGc^?EpIWcWyGad>uHmMEA?seYeWebu;GBseCySTsR?GxJUsUySruvRsYfQUpYewAylOGlKIrsYI=IPmHw]GKsytEgsqta;ePMdFWtVGSftdjXqq?aT`xnxbMfs<gqi@dFXfX?qBpZRnfAFqfG^Wovch`EppQOdcyfmw_lNn>FmBxlOnsHymvPqgp\\SQ\\GqnvVyEi_NHm]FayAZ@FpyVsynnf_wTQbJgpkp_RNqixhB_lanvgyfZpvAAwPOr?@pNXj<OeEovHYmGwutXwOneFiky`oWakh>jVVehy]?vhs?pihhKN\\TGduif?ih]Pgd_mhamopcfW[@^[QnhPOhaQvKxkVFpeIuiIoXfepwbIwZ[AxWoxw_`gwvaYegnhvwZiQe?n^^Ou^otSf]=wnWWqq`enFwZG`e^nbvuS^bS?abaZx^mRYiPVmkWb`VtNOmAqloWyg?sjpsE@ZANxCIhA`clXs?VqsPjYqlvVebipUPklfc_hh>`^Yf\\W`tpndh_kvop;yuKovn`x[Hm\\VgRHeEPkJolPyuD?_=YecwsFvtWgq`Nq]geF`c=o\\>Y_tfiBAfP`blvjDGtnggfHjK>^FwcKIeYIdeVwontHqc^OpppsGh_TXqIWlRGxhynMqxphge`lf^gEojh>qioxPnw``[n>pGFkTGiahnMHguh`DxtKYmGnpuYr=>aBpZR^]RWiNv`wq`gis@AhMin:p[POpZo^mY\\`Glk^cdAoYI]>Yer>wAfrap`qq_AnnXyhx>iLQuoq`hp]_QpBifqVlBGdYaxrqwkiZ`P`yNkahappyOGi>nbKGsVQaTafq^`FpnCnr_VmqHuUodPahPxta^gsOoupiW`qUQ\\e_l=>vkwi\\XuagcSx`YPxc_]xG]MQuhy^qdW]rDGSX;y;mGPqhn=EMOUfsV=IC\\gT@aXSgCPGX`]StwSO]igMW=?cJGtCIfViWi?wWehD;imme_gT`EbGmF`yfR]C\\MF\\eyScYuuv`kdmgsGKfZcS_IHdcutigOMrJQD:kX_SWlasdcgqwhc]fPoyF=egyx>kbm]E>Sr<GujkXcgup_uCMSN;unAcwQhZ]HSiCGqHwQUxgVQucF_EgydhkV^kRtYvS]HTyV>eeB[rlasFwcO]C\\[imOyHqsGoTKUUrieVOPcasclnohSotRFXKkmtnUN?pX]UtRiQN@oTMUqtRkUVmDLVLxLMWUIwh=N]pJNYkvPktpS@hs`xwRmtdhqSelfyw@LUUEYcanwmQhpY?iMY`SWHTltlcUTjxj>lQEeTThTXyY:LSc]MxEMuho?TYEak;Hk;@r]Uy\\YQgqppdtoylTus[Dv]QlxDsm`N_MP@ElYTryDOgynuXt[lmi`KEpOuLsfQO[hufHX:EPviLw<o^YUDdu\\mxMqUKYOdh`s^gNQaxOtGao_F]p`^JfrX?Z[fmpNvGHiUitAwfpppe`gxpts_v?IuA?oga_WIwJysQnr??gq^`qW_nhu`HpTWp_^pVQy[wbA@d;ixxwelgvq@uio`IivDWZP?ixivixnDhgCie_``IPsO`\\hW^dxdBQ\\GA[=XjuilWvqGSuEiemGJMt`yCqgGjcEFaTTIC<yVrGt@uUjWwmocJaD^aH>Wr<WvkGWpMD`qWLSvrIg:eW@MBgovjIsTaxeqxPOgCGs;?RssVEGt:EcCcEFOBMyh^]seOrHUTgewpEufGuaAc]OUGcUrWtsWH;MEkKfweFb;VHQGgovjGcqyFYigIsEGgWb;C=mwD_cpmXIshUaVX[ElOukygqWwwGcBqfLQe<qhxIWhKwogBC[fmidAuFgqgTEs<cC`svJQd\\[hSADEUikww\\sDuIhpcytOIqQbmgfVqtOycRyGiGgOehD;ipEWmmtJQSHSTmGWf]jhtu[iQUAQh<tTXp?QXpqoUikHpVdUVC@MDQyF\\nCYRj\\kPTNlDmqXmnlTvHoimxxmO:<V`LPyhRIYxk`mp@tUqTImLlySw<w^mLdmRMyM;EpFPupylQipP\\uc]TCYveHJGaUTetgdqkTO\\Tp]eRp]VllSP]RMmMwQQy=tiUoBEXduki`uudxWhmudO\\LM=EQilOeeR``XXAYYlvouKHTmTeNGIPhhWd<QZmtweupTYitPAUSduJSPXpiO@`vS`tFlN`dvditqTMBqW=TS<PPQdnHioPpxKpNeLn]YuuQRPmv<IlN\\rQEnKiVWhohNok_l>ynvV`[G\\AqjdouLIqK_cd>s>QfAQkhAsaOdlGmDPg\\>mAqnXy`@NynykP>nFvqlwthGgl`gdivNxsLP^KHsF^n=QkBfh@HlSgahgcBvbSx^VqpSGihip`Wo>xiFoiewnVoeFwf@a_?YoJYgOAqlfykvaO^lwx\\wqigh`HWtsYkINfnqxGWfhfakGi=Od?IsQHe`An<Gxw>g:PjNFmLQ_B>lranknwMogC>ZbAom^jp>acxp>FmCidK?_;FcVHnKheeO[NQhOWwPoZDOpc_\\LIbNn^>H[nF^:^j[NZ<?g:?lT@c?^vtfpXnb`Yb>`q]Wuuytj@ewxigoob`umFj]_uyOicytovlgYslx_YVtGyoWOthVxpGpay];nxxgv^qdaiytgymfmaVxGVbvp_wIproyVPi`Qpwiq<Nc?g^]QiCH[[@dLDC]V<[Vl=G^ED^Mhfmb:?DTcTKERL]tqOi;Mwk]SIwRlwew=DVGvJ_CmiGVWefac[]dgcdASiI=gKQfMIYXkuYCRZCwYcfYWCdcH@CgmaGTsgmoFtyVq[efubpGtYOYOiw@MVpggbawwmTE_duIvuCTUsFF=DsMW@QDoeTROHV]yWAHyiTIwGruXWiUsQBRGuX=yxmf;=FAObXkrHScaeFSWgFcwyLXDYtqiVjqtBPng\\vCUMWyODam[YU:]jP@RNEl[`nkHRPaSqmL=Yws<TBGf>xcZffuAtlyn[GoEQrKG`l?yLFZsQno@caIr<n_VNfPvcO_liau=og^ydZPc:o\\NIcf_dqYhdhoZalhI\\lar>WgkIfIa_k^dc_[l_b]xnhIr`gk[a`hyvF?pH@`Q@ivydbNgaxnFQjVOcln[Y?k;Gp^XpFhlEwoJpusW^gA`F@jV^udhm<odEghWGhKPZJN\\:n\\kY\\YHrn_uQY_tojRxv_irrqi^P]>?gGAc>glLx^GWiEorTqf<_[Yo\\A>pVPxZYnNagWhpgAv^qb\\OdJhZWHmNP]hirlH_Rppaf^IGdoah>IxbXlXi\\Wnp\\Qk_`ffaqFGueXdCVir>h;Wp[GtKn^_>sHHZwiqCYZb@aRopWaftai_No<Odlp_VWjLXtcaxsih@aaKndRWppH[>WgI^]Pp_\\Q\\Xywf^kCYt=Nnk^i:^gwOwwob>VeHou^>k<O]Rp\\?AuuGlTVvVNZBNtV^veXkFvhjxkeyoKwwDvkB_m^igt`bSH\\\\^elAauGlT_rKFkBnwRWm=V`npqCQ\\F?n`GcyFmmPeuV[Gfl=p_>A^CVugfsjXf\\p^fVeI^peF^HXcdFwUqa^Pe?WoLaZY_[@oaoAfYO_aWqKvrEQ]]iwE`yJipLArkhsFFyfnmO`d^yxSW^cFsoPc?otAQicN`OVbNqxv`_>^mRVZrY_:pqBW\\kWbpV_@@yM^bBqsG>fyAZhvi?ndmWxqWedweB^rUq_lA`tQnn>cZFaR>^?OxS_\\h?_eHh_olXa^`_f^N]S?hXfrHYwfYpa`tVfkmWth^ZFpif_lPXurn\\rF_@?a<pbHVp_OoXNlv^v\\WiQP_affwPbmO`gF]bIZjQtunabnpkppxphWigag]m>lWNscArkHr\\wtN_gmXhen[T`j_qoHWr<VqW?q?`hKgf^Ns<fsr>qkokRNnU?dGH^BIrj_uhW^>g`EQ\\H?m>yfcniSQoufkVxglXeKX^r>cAp[@om@avuPctvpoWZBhkl_lAGaMVyK@bP@wrynbVbGNe:F]u_iX_uQ>chqZr`rx?idy]\\VpvXk]fppXs;fxP>j_NyvPd]_wSn_jHku>mO_[dao>oxDgbUAuOnbkpkV`fR>^A>s`Wpba\\<w`OacoAc<obG?o:xbka]WvdVqwfVp[WcL^aCa`UplrN^UaeF@e`Qj>VbOpbCqsrhg^pc`niSgwY>pV_yUoo^Hfl^it@sMyZ;uWWUC[XT[FJaEZ;t=gvDyRUkgbQGU_wpCH]eY<;RCSY@[UNsxQEu`OrJ]feUeC=HjcuLSEaQBAcH[WB;CytgSpOdA_vEiIIYbWOb@SyfKglot\\?TN;v\\;Imyb=iXJ?udIgSGipaW>gF=_C=ebbqR<;efICMSuiauDWZ@HqLVrZVqY_h]ocXihB?meA`l?[=q]r?x;Go^`m<`kvGeffu>ynx^nHQeT^`A@rxnioAtRQfqomwN]xGuYVsbpf<HyTVhDOrZOfBv^Mwl=>ZVqtb^uMypUIiOWehPfK_lUvdvVhMOwTwvG^q>^n>^joa`HHa`Wj^?\\lGb@F^HIZ=ggIN_=VkINl?IwUYhv@ltPv_O^>GsanxCIbvhrW@pK?]\\I`SghDqhoG[GySwDPYBZQfVadfmyoWdv[CEQUE_BHyCx?GGSvP?rFMXDkeYSi?AdmwVaucF;S`Cd:kIxKFYcDe_sbIuN[Ef=Bq=TJ]GQsUJeXAUf_mHPuFbIFYmT_UXfchBODlKisQHesFe]F^aGNava_V=;uAeg=uBhEv^uRsAvcOTVUSI?d:uDuurWMI_oRrKg^sThCShES>uE^CGl]T>WET_DS_cZoCNCGlETKaVMaVSeRADOl<l?Al^HSlLoFXWBqwgYxh`MrYLAPXoem<uw\\HkIUkjtwe@SitSFIyCYRp\\Y:qUMevAynUQRx<n]muQAMcUUiItr<Ky\\WvQTpuOYQNa`xrirh@oxmS_`k^<s_uVpIRJPRM@N>\\tRhNJdULDN;qJ?mNWmKcIJ?eL@@VbUJOlN:Qke\\NQHh@IZpO[lHg`^jC>[<GZBNb>^J=VBcCBKTMKb>EVgGDpoRscvZeRnKBIECwOx\\ECQaW\\EUEUwsYEUUuAcvruXkSuy;BpgSXWuRsyfoyA?GjwDqIEUwDIAWPqEnCDZ[Fl?Y[mFniiQeeAmtxQwjmXjOuEwRNatMcTMEh^ODLmDO[d`[BCGS[?dJKEKEd<KTKET_uEqsIdmRtaSBSfRyCNMhPKTkaIO;EuASIWgq_DaSRsiIfuyTYGLqhloWjyVqmvuqdAkT:[fBGRLMEMMS<qTiaB]SRRkDTygFwtKoX\\?tOYIA;dkkW=]cY_HsUwmWcEUi\\cs;geOOhSeiF=UJCfBEUHAB@]VxeERwe<UgZcDusGdCT`[VR_rIKc_QeW]d>UxBkdSQTD]VOAwSeDVSVCMCl]wj;rHcxSuUGWe]=Ie_S^YF[AD^IUoaVEAFOYT;aBKYB;kRokVAggsiU<Gt>agOwDBCYFstWqSZmgeqSQkW^QV\\WdVWFa_w:oXgiuxMTqiT_mT>MFBQx;gUQgupkto]b[MSSasSOWuGYfmB<KfKWCX[VxMsuEb:yhGuXVaF:cEjKh?WiPwIPiUSmrOMbs?WfUigacpkdDCfqwE>qbA_i_;ILSU]?DCOhKmCV?uFqd:KGkgeC=S@SbFgdlCUQeUV[ch]XFCuRCG\\IhOGWxqeNWFtqThufc_B>ufJ_rsIxEoEpeVFgF;;SN]B^[tcwfGihQgXmeWN_GKCHKKtjKDxefouhOOD\\GtCoYVgVd[UkgVp?Gf]e<wDQmuDEeFYefAuWsTr_Ro=X\\ms?CIhOxPUEiCGJ[g^MD>]xmiWCqGbeR<]T<sB_Ms`qgvEGKAUI]d:?DRGhH]guMrkKG<iDQ=U@mrLisAKUusi?]feIcj_dv;CH;sl_gxMCgwHKCXcsFKSRZuC[uuNsXQcDmYsfsDMADXAUd=XrGVKMe`=eIKBGAhB[rR]ThevhAwhcFC=C@KI[ysFwEwcUycTNaCDMHliF[Ie\\oX]]c]=TFKBvgdl=UuAiDguF=V\\_C_cCFGiJUiKGyHOetSgKGdVwCI[S:QUXAeC]TG;DrEfFWbukvqUCmAGSMtIGu_cXpsbFgieebMAhO`WZaSiiJ]lMVxJrhOM]RI`J]]T:AVPPTYhs;dJZamOMTWDPK`mMTSOhl:iW\\XsONf\\>]c>ZU@^_Yf:FcH>]<xZ_fkmp\\SOqX@v>irIqja^xAAZqHmLi\\B`vJFfRqhNIecf`IP^HGjA^rlIacvg_ovQgcoOrYoim@sZWhgireOsR`c\\I`FgdJNoMW^sG_dAn<g^eq^@_eMVaTphqYm>of_O``QZrVZ>QwCagRVZ;qbNObR?l[`cbncpvtvg_FXnE^_mQ^nGqGIxCfevw_?`d<Y`bGubPsK_gRVvYPgXQx\\_sCi[vxZ?^g`p`eyhBftt>gFhv^orAH`kVZqx]\\`weNi]pv<^clG`Ia]jQvnhkJ^i@W_`@jFAnmQvu>idg\\Eh`Eax@IdyNwgVxTWaw^ppVnNwb\\qosG\\GacA?jPOsZgdoWaRGeOGhlpfK?luI]Y`q]qu^hbo_wcgkiq\\P`ZAVfIhZk`v:_mk`dqYysfuZPZ?FhtFmrxx[Pcm^utYqdh\\@qeOw^M?skFlhieporLguS?iC@kl>h_^u<VtaxgR>Z;ahJ>kw>oMo\\agg>_vTwr^fm<v[ChwCalqxnFijoNraF[ew^:@rvqdnHw>Hp[F`NOh<GmuVtcNcBPr_VwsG]jOdqHhGw\\U`xFqsF?xKFrsQwCYgTNvr?_H?mBAyJPfDQuiikjQpm^ka>flx^E_mU>`u^lioqqnrTXw>PuM^tFWj[wwUOnBX`:>kKAZj?]\\XddFqUvhmXqCG\\tVeQ?fKoo@whXwfCFiP?vA_]SptIylRnmNax>fp`h^pfgZibkW\\Sx^F`;YyY?wtcXS[T?OhPCvd_bnAs:;sQCIgsI\\qSv_T_]d_=U;aBoCrSORrMR>EGsKtjmgOIWVWDomYWMb^WT>[cIybUQDP]T>=h;Kf>SIbQxf]eMoXtwtn_c_osBibVyxdEcMwsSGwisTL_gvUiAyBhYSJOsBScj?Ed;FmUoRXUKHNn`lBTLcLSalKFlrbmUd]POATCtnRELv<JEXWE]Jm@NQmmBakbexBdTm<K<mvkXKutVhDrLqJhUmD]vb`kGUPA\\SF@XC`q_mLEXxCIk?MLu<YX<Kj`YchTlTMkULcLSKmOl`kSioW\\onmT;huvApFMS<ao_@KlDmGALDAKlTL=o\\G_lS`[ZpjcOpMH^KHdGa[^pj;_\\lVlbns<?qSXs:VZOhd=xtqx[b>tr>i_`xRWkhPv]AqlpdEIaQfepVaMWqth`josWWsUakeWkCY`phcxijoPxcXx_wxSwksAigFac>Z\\>]ZOZEwrN`uUitKFdB_n`Hslfk\\njLWbb>^RInC?lBAolhc<Xm[>l:_ZlVl[bMQCd[d\\kVOafJ[RZ=KJ\\>Hk^<J<EWZ@L><nJFbENgG@tovsR>skneafhqplTIuO__Aarmoe_ifoimAHoi`s:pYwsBiFroWwEyNadrsth]ChkwvSbAmvhcygMvAcGxEUqqy_]gQEr_QGtqwmwsaWsQsEFYIAyS;wGqyufuRPyeO?WL=WXwhZ?DT;D^oV>MB=oF>GcJKEJmF=oNLTL<aJMDO[\\JSak^Ll><SGQk>LSpTRN]SlAXRIO[dr[exrDUGaTOIKFaQ^IKNaUZAYeTmsiTk@l`DSWTTmIlFtKsATeIqKaylyY:LWQiowMQqHLMATS@PE@SHURA<qZaPEURmAWWtp=]K[=pwYSQHsKdMklY;it:LqxqNeMv]PO`<jQ<SedqYhyK\\UNhtSeuDdVR@sraN^qK^eU=dV`EP`lox@W`ulc\\ge^i`Q]lqid>tGNjen^rysagppPdNXkkFjKPheapqNqv?mqnkMAjxI\\SPydVaWArYyuTF^Gh`CqvAovJ@vunqegnlnouGr[gj\\hf]h=ocRIRggTQoSQ_HaSG]MVEEU`yI:]sOiGWqRb?gFcVViUZ?efgs`=FQSi]oh;ktlqb=[fxQvfosiGts]UHyI:gT>CF:CS^?cY;ECSGHWusuSceS\\KT`me`At_Cs?utT?wjKEiWTSYhpEUrWEMaWm_ftqU^;uy;bTkrOqhmydZ]htqrmEDNEFXuHI=sAyI:ACpaBvyv_ORUqs\\WCbKD\\MfL;Ck]gweRAEy[EEMQEoUd[AEJECssxVEx_Wt^aGG=hmsUxwVTYUTeRNQCE]iL_GGWxQau>avcOgxos<YCaUE_KV?miV]H@SVQaWCQTcoTUGgCkd_QBcCWCeW`wY<sU_UR]gXoCDIOwrSSF_S`YFnKGGiu`AEh;R<ODEyTjAs?YYSOTu]h]Oih?SWKtKoYakyGiWG?UdyHhCV[AvlYc[MVYqDtQguAg@ScdCT:qSGMBfIeUOC\\Wi[WyXMVtcVr[DB=T`_GkqYoOxBMYD_cgCdk;r^MCA]tgmhkMV@AD<KTA=DvmtKiU=ghpebpUC^ueN[hB_xR;fEuEdkUyWwKauHiw@MuAKbfmGlIHq?TsaxsUuhMVpmc>_IaSTL;HK_B:EU=UY_?HOWdBYxFIDZ=EZ]uwguwQSGWhtGiUwF\\cX:cFsAcryc?CDWkhQGUSst\\kfL]twebb]gXSSSucOKXFmvFiy_itGqReUhV?S?GXN;IMKhIUiDYcbMy<iBdGtpicR]B_CHWITu]V:shvothtVrTJZMjGUk^QpqPXxXYIQOudnR@KAAkPhSLEkRAnQIPMaT_UNcHQDQtIEmQUNneVsxtsYN;eVYaVpPvw\\qADMsTJ]TO^<xIDXdTTLdQ@MrylnApvbtq`qxdPwm]NvaN:HQL<yhHxJ<ljEpqLjuHKMewAMY<XT:qyq`rvEugeTK<m:`nJHKtPJIIOv]w^hU?TRoIStLM]Do?Ay:EpJqk@=QRiWBLjLYYIdpf=PHLX?]vhenwpMXQQ^`sv@S@moV=LrUO]HYwAugyRVEVehNR=qumtfuP=xY:DqPDPn`TtAjvyvY<thTUm`uiLP`qpC\\sBMSMEl`]vR@xZUohdmPDUU]rFYSP@MOTwsqpO<vBLSKyWKmnxixQXTqmrOHwTmT_ALFiwPLL=uYBTo<imW=jHiSFUVWExHLv>eY<Xo@PwsETtLnEaSCDKqmj\\YqgqpMijT`S_AoCeXCHs<qSUIkiuXATxj@R[AklyK\\UxdtuOiuTXVcEoyhtR`rxAkmyw^ym>`yrdWahOgmnT\\n=lLk\\OBuJFPrPtWkiospnBHSgQxrIqMYUjmTpTMyPOWDpkUj@dskqUPIOFh_GNm>a[r@spwx\\fnVgg[xxPVum^e;Fl>^kxO[Wn]pGuMVaCo>QhAYRjWseWEhiTgYfyAddyulyBkWgjiUU?Y;edK=tfaCBygW_F\\UIoYi_yXUmsoCFvSvMSu\\OSNuV_SUwOhKGThCDiQf^MbRIWigSQaW^cW:Kcl_cBkc[_rACdUIG@SuLwQ>xY:DY>tKuqv`EsGpQVAM:`jgLP]\\MyAotEogmXmelDEPsTj\\lvT]qXeXUUxWwuQHlb?[TVrZA`IqugprcQiSitVNmlfa>xvnIbIQhaWpTYlcN\\>Wv]HdmGkCY]SqgaO]vhkKGkL^l_y]<Xos@qoi_:iky_wPAhyNoVWyAhZ]hyvpb<?u[?`RQqr_a]Hp\\@sMFaHYdlvgrhoPFeopwI^olHnFHbI`qFpd\\PkEH^CO[d^_@hcB^jBafJQjfVm`^jC>lCInJhbF^n@@bSp^L;\\jC@lCMPNHkJbDaBEwTioWn=BKae__cuuyt?upACOSrsCfRsreibhwwPqVSSuf]vwEroQw@qfwaEuOhbuGqirdKqQxne`sRHXIqm[Er]]xxyMdaWQIPw=qaMUsmyeltgpx_ey]Ey]UoYdW^LT_anQhMbmN=q^MF>?dZSc[_DS_cDSc[_TL[fCMD_mfG;DZaTLeCN=C<;L>:::@n@iUnuupTrt<m=DkALMUqUOpxTER^]sj]ss\\ruqLLqlqQM``pE@P>Dn[AP>Dn:NB:Z>NmJFj[^`Z:abJOrHUHciw>=vYSr<aoqQNd]gJY^`VSguO[vZqSlwglEW<KT<MtjKFr=BrcfWiyJQH[KD>;FlSbL_hJgWDOx?qBKeGX;RUActqGQGCReH^ECmIVQ[FbMHwqi_]c;]byotk?ye?dcYRxIV?=E<KCUgiIAdtCh^MTIQigGyhEc?KWZShLoSamdJSBhaXh=Xs[R:yBUqbEMRpWds_Do[YIGGiwuTUd<ohNEFNsHJKT`AbB[Ev;iIOSiqyPiISQBccc:oiRkrIOuo?TPOd_UU\\CWo?BkGfWcewqVRSDG_iO[fbQgqUsAUYTyI:[CyeB@SUuufiuEcODRcsJkuK]wT=sPmrXOvWiCkcHSAs:=Fn]sBoHeUeg[dcoSPsdJAfIuX^uVn[wrkR]]s\\WsHUV_qx^GWpYBEiRn[rjqXmQUBqdL]eb=FOkdEGFBMWBEdCcd;WxK[eU]vW;EFKX;;G[crWctp?S=oEQCUSirBmwOqsHEYDYHNaBaCTGMElUCSQSTSTbaXsudIUDSKRrkFYiVVQRm?FKUF:gS^aiD_I?eDH?xukcm_Dv[g:As[YYQiCF_WNOElsRwItNQG<=D_KCqEid;SRgYjwgdCIdGs;Wd>=SauVP?d<qTEkvp;tKgKIuxOYp<UPW\\Q]AOdutJTjlPQqLn:Em?ujBHRWTnHUwM]qVHxluyt]t<qpNTNBlW[lJkEOslqblY?ptXpsgisKhMl]jAiWFTR>eOninNdSUDkDUxoiJC=Vjlv=PjJMTlLt<QK_ew^Yj_hmr`Vm`OSYur\\lvmtJljk\\J=xj`mpJTjxLsgUjT`XLTJ=@N^mon`wh=ODITJXPSHYDETqQUBqtLEm<iKEEwL\\kAAxPuuOQuMMQr@R>qXcyOmeVwEK_YPpTQI@NSPLliNCIqL\\pJejN@LT<<K:CB[[pJ:::\\ltqkPiSNeRj=NAEQyhLRLqG\\MFyd?@qHQfd>]VP^`gvEyg>ohji\\:A`ENnb?ef?lT@\\^n>MR<=g:?DT;D^oF>DMn<nCENB\\J[<K>:::::::::::::::::::::::::::::::rYyYp2:\"\{\}LSUlUk9PVEc2Jy0lKUJPVU5EU19YRzYjJCIiISEiIi0lKUJPVU5EU19ZR0YnLSUtQk9VTkRTX1dJRFRIRzYjJCImUy0iRiotJS5CT1VORFNfSEVJR0hURzYjJCIlITQjRiotJSlDSElMRFJFTkc2Ig==