Regressão não linear
##=============================================================================
## Aplicação de modelos de regressão linear e
## não linear em ciências agrárias
##
## 09 à 11 de Dezembro de 2014 - Goiânia/GO
## Embrapa Arroz e Feijão
##
## Prof. Dr. Walmes M. Zeviani
## LEG/DEST/UFPR
##=============================================================================
##-----------------------------------------------------------------------------
## Definições da sessão.
pkg <- c("lattice", "latticeExtra", "reshape",
"car", "alr3", "nls2", "nlstools", "rootSolve",
"plyr", "wzRfun")
sapply(pkg, library, character.only=TRUE, logical.return=TRUE)
## lattice latticeExtra reshape car alr3 nls2
## TRUE TRUE TRUE TRUE TRUE TRUE
## nlstools rootSolve plyr wzRfun
## TRUE TRUE TRUE TRUE
trellis.device(color=FALSE)
## url <- "http://nls2.googlecode.com/svn-history/r4/trunk/R/as.lm.R"
## download.file(url, dest=basename(url))
## path <- ifelse(Sys.info()["user"]=="walmes", basename(url), url)
## source(path)
source("~/Dropbox/CursoR/GeneticaEsalq/as.lm.R")
Ganho de peso em perus em função da metionina na dieta
##-----------------------------------------------------------------------------
## Ajuste de modelo de regressão não linear.
## turk0
str(turk0)
## 'data.frame': 35 obs. of 2 variables:
## $ A : num 0 0 0 0 0 0 0 0 0 0 ...
## $ Gain: int 644 631 661 624 633 610 615 605 608 599 ...
xyplot(Gain~A, data=turk0, type=c("p","smooth"))
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)
##-----------------------------------------------------------------------------
## Valores iniciais baseados na interpretação gráfica.
## Modelo: th0+th1*x/(th2+x);
start <- list(th0=625, th1=800-625, th2=0.1)
xyplot(Gain~A, data=turk0)+
layer(with(start, panel.curve(th0+th1*x/(th2+x))))
![](data:image/png;base64,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)
##-----------------------------------------------------------------------------
## Ajuste.
n0 <- nls(Gain~th0+th1*A/(th2+A), data=turk0,
start=start)
summary(n0)
##
## Formula: Gain ~ th0 + th1 * A/(th2 + A)
##
## Parameters:
## Estimate Std. Error t value Pr(>|t|)
## th0 622.24167 6.20283 100.316 < 2e-16 ***
## th1 235.21690 22.56029 10.426 8.09e-12 ***
## th2 0.15476 0.04059 3.812 0.000591 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 20.14 on 32 degrees of freedom
##
## Number of iterations to convergence: 4
## Achieved convergence tolerance: 1.176e-06
xyplot(Gain~A, data=turk0)+
layer(with(as.list(coef(n0)),
panel.curve(th0+th1*x/(th2+x), col=2)))
![](data:image/png;base64,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)
##-----------------------------------------------------------------------------
## Intervalos de confiança.
## Baseado na log-verossimilhança.
confint(n0)
## Waiting for profiling to be done...
## 2.5% 97.5%
## th0 609.656524 634.7143666
## th1 196.536953 290.9141162
## th2 0.094081 0.2665297
## Baseado na aproximação quadrática da verossimilhança, conhecido como
## intervalos de Wald ou assintóticos. São simétricos por construção.
confint.default(n0)
## 2.5 % 97.5 %
## th0 610.08435035 634.398984
## th1 190.99955337 279.434253
## th2 0.07519662 0.234318
##-----------------------------------------------------------------------------
## Valores iniciais baseados na interpretação gráfica.
## Modelo: th0+th1*(1-2^(-x/th2))
start <- list(th0=625, th1=800-625, th2=0.1)
xyplot(Gain~A, data=turk0)+
layer(with(start, panel.curve(th0+th1*(1-2^(-x/th2)))))
![](data:image/png;base64,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)
n1 <- nls(Gain~th0+th1*(1-2^(-A/th2)), data=turk0,
start=start)
summary(n1)
##
## Formula: Gain ~ th0 + th1 * (1 - 2^(-A/th2))
##
## Parameters:
## Estimate Std. Error t value Pr(>|t|)
## th0 622.95806 5.90089 105.57 < 2e-16 ***
## th1 178.25193 11.63559 15.32 2.74e-16 ***
## th2 0.09732 0.01647 5.91 1.41e-06 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 19.66 on 32 degrees of freedom
##
## Number of iterations to convergence: 4
## Achieved convergence tolerance: 2.339e-06
xyplot(Gain~A, data=turk0)+
layer(with(as.list(coef(n1)),
panel.curve(th0+th1*(1-2^(-x/th2)), col=2)))
![](data:image/png;base64,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)
confint(n1)
## Waiting for profiling to be done...
## 2.5% 97.5%
## th0 610.97091738 634.8551958
## th1 156.32267475 204.4767104
## th2 0.07089817 0.1395906
confint.default(n1)
## 2.5 % 97.5 %
## th0 611.39252556 634.5235962
## th1 155.44658106 201.0572728
## th2 0.06504651 0.1295974
##-----------------------------------------------------------------------------
## Explorando o conteúdo dentro da estrutura do objeto.
## Estrutura do objeto.
str(n1)
## List of 6
## $ m :List of 16
## ..$ resid :function ()
## ..$ fitted :function ()
## ..$ formula :function ()
## ..$ deviance :function ()
## ..$ lhs :function ()
## ..$ gradient :function ()
## ..$ conv :function ()
## ..$ incr :function ()
## ..$ setVarying:function (vary = rep_len(TRUE, length(useParams)))
## ..$ setPars :function (newPars)
## ..$ getPars :function ()
## ..$ getAllPars:function ()
## ..$ getEnv :function ()
## ..$ trace :function ()
## ..$ Rmat :function ()
## ..$ predict :function (newdata = list(), qr = FALSE)
## ..- attr(*, "class")= chr "nlsModel"
## $ convInfo :List of 5
## ..$ isConv : logi TRUE
## ..$ finIter : int 4
## ..$ finTol : num 2.34e-06
## ..$ stopCode : int 0
## ..$ stopMessage: chr "converged"
## $ data : symbol turk0
## $ call : language nls(formula = Gain ~ th0 + th1 * (1 - 2^(-A/th2)), data = turk0, start = start, algorithm = "default", control = structure(list(maxiter = 50, tol = 1e-05, minFactor = 0.0009765625, ...
## $ dataClasses: Named chr "numeric"
## ..- attr(*, "names")= chr "A"
## $ control :List of 5
## ..$ maxiter : num 50
## ..$ tol : num 1e-05
## ..$ minFactor: num 0.000977
## ..$ printEval: logi FALSE
## ..$ warnOnly : logi FALSE
## - attr(*, "class")= chr "nls"
n1
## Nonlinear regression model
## model: Gain ~ th0 + th1 * (1 - 2^(-A/th2))
## data: turk0
## th0 th1 th2
## 622.95806 178.25193 0.09732
## residual sum-of-squares: 12367
##
## Number of iterations to convergence: 4
## Achieved convergence tolerance: 2.339e-06
## Estrutura do summary do objeto.
sn1 <- summary(n1)
str(sn1)
## List of 11
## $ formula :Class 'formula' length 3 Gain ~ th0 + th1 * (1 - 2^(-A/th2))
## .. ..- attr(*, ".Environment")=<environment: R_GlobalEnv>
## $ residuals : num [1:35] 21.04 8.04 38.04 1.04 10.04 ...
## $ sigma : num 19.7
## $ df : int [1:2] 3 32
## $ cov.unscaled: num [1:3, 1:3] 0.090096 -0.05547 0.000102 -0.05547 0.350306 ...
## ..- attr(*, "dimnames")=List of 2
## .. ..$ : chr [1:3] "th0" "th1" "th2"
## .. ..$ : chr [1:3] "th0" "th1" "th2"
## $ call : language nls(formula = Gain ~ th0 + th1 * (1 - 2^(-A/th2)), data = turk0, start = start, algorithm = "default", control = structure(list(maxiter = 50, tol = 1e-05, minFactor = 0.0009765625, ...
## $ convInfo :List of 5
## ..$ isConv : logi TRUE
## ..$ finIter : int 4
## ..$ finTol : num 2.34e-06
## ..$ stopCode : int 0
## ..$ stopMessage: chr "converged"
## $ control :List of 5
## ..$ maxiter : num 50
## ..$ tol : num 1e-05
## ..$ minFactor: num 0.000977
## ..$ printEval: logi FALSE
## ..$ warnOnly : logi FALSE
## $ na.action : NULL
## $ coefficients: num [1:3, 1:4] 622.9581 178.2519 0.0973 5.9009 11.6356 ...
## ..- attr(*, "dimnames")=List of 2
## .. ..$ : chr [1:3] "th0" "th1" "th2"
## .. ..$ : chr [1:4] "Estimate" "Std. Error" "t value" "Pr(>|t|)"
## $ parameters : num [1:3, 1:4] 622.9581 178.2519 0.0973 5.9009 11.6356 ...
## ..- attr(*, "dimnames")=List of 2
## .. ..$ : chr [1:3] "th0" "th1" "th2"
## .. ..$ : chr [1:4] "Estimate" "Std. Error" "t value" "Pr(>|t|)"
## - attr(*, "class")= chr "summary.nls"
## Erro padrão residual.
sn1$sigma
## [1] 19.65914
cbind(sn1$parameters, confint.default(n1))
## Estimate Std. Error t value Pr(>|t|) 2.5 % 97.5 %
## th0 622.95806090 5.90089177 105.570155 2.855738e-42 611.39252556 634.5235962
## th1 178.25192693 11.63559435 15.319538 2.743729e-16 155.44658106 201.0572728
## th2 0.09732197 0.01646738 5.909986 1.408734e-06 0.06504651 0.1295974
##-----------------------------------------------------------------------------
## Colocando as curvas no mesmo gráfico.
xyplot(Gain~A, data=turk0)+
layer(with(as.list(coef(n0)),
panel.curve(th0+th1*x/(th2+x), col=2)))+
layer(with(as.list(coef(n1)),
panel.curve(th0+th1*(1-2^(-x/th2)), col=4)))
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAABLAAAAOECAIAAAA+D1+tAAAACXBIWXMAAB7CAAAewgFu0HU+AAAgAElEQVR4nOzdd1hVV9rG4efQsaOgoIAFUcSKvfeCvRtL1Bg1GScmk2SSyaQ4k8mkOs1EM/pFY0nU2EI0scbeYodYsGFBEUERRAUBKef7gz2iiEZFORzO777OxUXWftn7PYkSHtbea5nMZrMAAAAAALbHztINAAAAAAAsg0AIAAAAADaKQAgAAAAANopACAAAAAA2ikAIAAAAADaKQAgAAAAANopACAAAAAA2ikAIAAAAADaKQAgAAAAANopACAAAAAA2ikAIAAAAADaKQAgAAAAANopACAAAAAA2ikAIAAAAADaKQAgAAAAANopACAAAAAA2ikAIAAAAADaKQAgAAAAANopACAAAAAA2ikAIAAAAADaKQAgAAAAANopACAAAAAA2ikAIAAAAADaKQAgAAAAANopACAAAAAA2ikAIAAAAADaKQAgAAAAANopACAAAAAA2ikAIAAAAADaKQAgAAAAANopACAAAAAA2ikAIAAAAADaKQAgAAAAANopACAAAAAA2ikAIAAAAADaKQAgAAAAANopACAAAAAA2ikAIAAAAADaKQAgAAAAANopACAAAAAA2ikAIAAAAADaKQAgAAAAANopACAAAAAA2ikAIAAAAADaKQAgAAAAANopACAAAAAA2ikAIAAAAADaKQAgAAAAANopACAAAAAA2ikAIAAAAADaKQAgAAAAANopACAAAAAA2ikAIAAAAADaKQAgAAAAANopACAAAAAA2ikAIAAAAADaKQAgAAAAANopACAAAAAA2ikAIAAAAADaKQAgAAAAANopACAAAAAA2ikAIAAAAADaKQAgAAAAANopACAAAAAA2ikAIAAAAADaKQAgAAAAANopACAAAAAA2ikAIAAAAADaKQAgAAAAANopACAAAAAA2ikAIAAAAADaKQAgAAAAANopACAAAAAA2ikAIAAAAADaKQAgAAAAANopACAAAAAA2ikAIAAAAADaKQAgAAAAANopACAAAAAA2ikCIArVx48avvvrK0l3AisXExHz88cdxcXGWbgTWymw2f/nll9u3b7d0I7BiO3bsmDZtmtlstnQjsFZXrlz5+OOPL168aOlGAIlAiAI2ZsyYF198MSIiwtKNwFpNmTLl3XffnT59uqUbgbU6ePDgxIkTX3jhBUs3Aiv24osvvvzyy2FhYZZuBNZqxowZ77777n/+8x9LNwJIBEIUsLS0tNsfgcdw69Yt8UcI+cB3IeQff4qQT/y/DIUKgRAAAAAAbBSBEAAAAABsFIEQAAAAAGwUgRAAAAAAbBSBEAAAAABsFIEQAAAAAGwUgRAAAAAAbBSBEAAAAABsFIEQAAAAAGwUgRAAAAAAbBSBEAAAAABsFIEQAAAAAGwUgRAAAAAAbJTJbDZbugc8pqNHj06cOPH69euWbuQRHDx4MCMjIzAw0NXV1dK9wCpFRUVdvnzZ09OzUqVKlu4FVik5Ofn48ePOzs516tSxdC+wVkeOHElLSwsICChevLile4FVunjxYkxMTPny5X18fCzdC3IrVarUtGnTAgMDLd1IATLDak2ePNnSf3wAAACAImXy5MmW/jG/QDlY+l84Hl9WVpakbt26vfHGG5bu5WFduXIlKSmpSpUqlm4E1iojIyM8PLxu3bp2dtzxjsd0+vRpNze3smXLWroRWKuEhISrV6/6+flZuhFYq6ysrMOHD9euXdvBgR/FC5d//vOf69aty/4Z23bwp9DqVaxYsXPnzpbuAig4wcHBlm4B1o3vmQAsrmvXrpZuAXlYuHChpVuwAH7FDgAAAAA2ikAIAAAAADaKQAgAAAAANopACAAAAAA2ikAIAAAAADaKQAgAAAAANopACAAAAAA2ikAIAAAAADaKQAgAAAAANopACAAAAAA2ikAIAAAAADaKQAgAAAAANopACAAAAAA2ikAIAAAAADaKQAgAAAAANopACAAAAAA2ikAIAAAAADaKQAgAAAAANopACAAAAAA2ikAIAAAAADaKQAgAAAAANopACAAAAAA2ikAIAAAAADaKQAgAAAAANopACAAAAAA2ikAIAAAAADaKQAgAAAAANopACAAAAAA2ikAIAAAAADaKQAgAAAAANsrB0g0AAAA8spiYmJCQkAMHDiQlJZUoUaJhw4YDBgyoWLGipfsCACtDIAQAANYkKSnpz3/+88yZM2/dunV7cM6cOX/84x/Hjh07efLkEiVKWLA9ALAuBEIAAGA1EhISOnTocOjQIUnNmzcPDg728vKKjY1ds2bN7t27p0+fvn379s2bN7u7u1u6UwCwDgRCAABgHcxm84gRIw4dOuTh4bF48eIOHTrcPvSXv/xl8+bNQ4cOPXLkyLPPPrtmzRqTyWTBVgHAWrCoDAAAsA5Lly5du3ZtyZIlN2zYcGcazNahQ4eNGzeWLFly3bp1S5YssUiHAGB1CIQAAMA6TJ06VdLbb79dr149Senp6SdOnDhw4MCJEyeynyesU6fOu+++K+mLL76wbKsAYC0IhAAAwAokJSXt2rXLZDKNHj36woULL7zwQoUKFQICAho3bhwQEFChQoXx48dHRUWNHj3aZDLt3r37+vXrlm4ZAKwAgRAAAFiB6OjozMxMNze3nTt3BgQEzJw58+rVqyVKlKhWrVqJEiUSExNnzZoVEBCwZcsWDw+PrKysqKgoS7cMAFaAQAgAAKxA9iIxaWlpzzzzTHJycps2bTZv3pyYmHj69OnExMTNmze3adPm5s2bw4cPT0lJuV0PAHgwAiEAALAClSpVcnBwSE5ONpvNr7zyypYtW9q3b29vby/J3t6+ffv2W7Zsee2118xm840bN+zt7b29vS3dMgBYAQIhAACwAsWLF/f09JRUpUqVKVOm2Nnl/hnGzs7uX//6V9WqVSVVqFChVKlSFugSAKwNgRAAAFiBrKyspKQkSTExMWFhYXnWHDp06OLFi5KSkpIyMzMLtD8AsE4EQgAAYAViYmISExPt7OzS0tK6du36008/5Sr46aefOnfunJaWZmdnd/369ejoaIv0CQDWxcHSDQAAAPy2hIQESe7u7tWrV//ll1/69OnTtGnTHj16eHl5xcbGrl69es+ePZJatGgRGRkZExMTHx/v6+tr6a4BoLAjEAIAACtQtmxZSYmJievWrfvwww+nTJmyd+/evXv33i5wdnZ+5ZVX/vrXv7q7u0vK/ggAeDACIQAAsAJeXl5eXl4xMTHbtm379NNP//CHP3z//fehoaFJSUklSpRo2LDhgAEDKlasuHbt2tTUVE9Pz0qVKlm6ZQCwAgRCAABgBezs7AYPHvzFF1/8/e9/79q1q5eX18SJE3PVZGZmfvDBB5IGDRp07zKkAIB78b0SAABYh3feead06dK7d+8eN27crVu3ch3NzMycMGHCrl27SpUq9e6771qkQwCwOgRCAABgHSpUqLBgwQJ7e/t58+Y1a9YsJCQkJSVFUkpKyvLly9u0aTNz5kyTyTRnzpzsHQsBAL+JW0YBAIDV6NmzZ0hIyIgRI3799deBAweaTKYyZcokJiaazWZJbm5us2fP7tevn6XbBACrwQwhAACwJn369ImIiHjjjTd8fHzMZvPVq1fNZrOPj8+bb74ZERFBGgSAR8IMIQAAsDKenp7/+Mc/Jk+eHBcXl73KqIeHh8lksnRfAGB9CIQAAMAqmUym8uXLly9f3tKNAIAV45ZRAAAAALBRBEIAAAAAsFEEQgAAAACwUQRCAAAAALBRBEIAAAAAsFEEQgAAAACwUbYSCDdv3jxw4EBPT08nJycPD4/g4OBly5bdrzgyMnL8+PG+vr4uLi4+Pj5jx449c+bMEykGAAAAgMLDJgLhpEmTOnbsuGnTpt69e7/99tsDBw48dOjQ4MGDn332WbPZnKt4165d9evXnzVrVvXq1UePHl2jRo3Zs2c3aNBgx44d9575kYoBAAAAoFAp+hvTr1u37sMPP2zUqNGqVasqVKiQPfjvf/+7e/fuCxYs6NSp05gxY24X37hxY8CAAampqatWrerRo0f24Jo1a/r379+/f/+TJ0+6ubk9XjEAAAAAFDZFf4Zw5syZkqZPn347DUoqVqzYtGnTJH333Xd3Fn/++eexsbFvvPHG7YAnqXv37m+99daVK1f+9a9/PXYxAAAAABQ2RT8Qnjp1ymQyBQUF5RqvXbu2vb39hQsX7hxcuHChnZ3dxIkTcxVPnDjR0dFxwYIFj10MAAAA2ILo6Ojx48dXq1bN3d29fPnytWvX/vDDDzMyMizdF/JW9ANh2bJlzWbzlStXco1funQpMzOzcuXKd44cO3asTp06Xl5euYo9PDwaNWoUGRl5e8GYRyoGAAAAbMHQoUN9fHxmzZp19uzZ+Pj4uLi4o0ePTpo0qXTp0vPnz7d0d8hD0Q+EvXv3lvT555/nGs++lfTO+b2jR49KCgwMzPM8derUkXTs2LHHKAYAAACKvCZNmixevNhsNjs5ObVt2/all14aN25cYGCgyWS6efPmyJEj33vvPUv3iNyK/qIyEyZMCAkJ+fTTT8+dO/eXv/wlICBA0nfffff3v/993LhxPXv2vF158eJFSe7u7nmep1y5crdrHrUYAAAAKNpGjRq1f/9+Sf369Vu6dKmDQ07QiI6ObtGiRVRU1EcffdSkSZO+fftark3kVvQDoYuLy6ZNm957773Jkyd/99139erV8/T0XL9+/aRJk/7617/eWZmcnCypbNmyeZ4nezwpKekxih/SjRs3+vXrFxkZ+ZD1iYmJkqKioh7pKgAAAMCTdfLkyew7Qvv37x8SEpLraKVKlc6cOePt7X3p0qUxY8YkJCRYosffdv78eUmTJ0/+6quvHvJLqlat+sMPP5QsWfJp9vV0Ff1AKGndunVff/11UFDQq6++euDAgRUrVpjN5jVr1vTo0aNZs2a5ik0mU54nyR7PtW/hIxX/pqtXr27fvj09Pf2RvurexyMBAACAgvTee++ZzWYXF5dly5blWeDg4LB8+fIWLVpcvXp17dq1wcHBBdzhw4iPj5eUkJDw8JE1KioqMTGRQFiobdy4sX///r169VqyZImjo+OoUaP+85//rFmz5pVXXmnbtu1PP/3UtWvX7MrixYvrf38O7pU9fvs/9iMVPyRfX98TJ048/J+/efPmTZ06tUGDBo90FQAAAODJ2r59u6Ru3brZ2d13jZLmzZt7eHjExcXNmTOnsATCK1d09qzOnNHZszp7Nujy5V+l14cOHf7GGw95grJly/r4+DzVHp+2oh8IX3311WLFin399deOjo7ZI3Z2dj179qxbt25gYODEiROPHTtmb28vKXu90Pvlsezx22uKPlLxw6tatWrVqlUfsnjDhg26/ywlAAAAUDCuX78uqXHjxg8uq1KlSlxc3Llz5wqkqTukp+vcOZ0+rVOndPp0dvzTmTO6cePe2vImU6NGjQq6Q8sp4oHw5MmTR44c6dWr170P+/n6+vbs2XPJkiVHjx6tW7eu/rdkaPbyofcKDw/XHcuKPlIxAAB4stLT03ft2hUWFhYTE+Pp6RkUFNSyZcvbv/wFUMCyJwbT0tIeXJb9bFT2ZMzTkpys06dzv86fV54bIZpMqlhRVauqWjVVrapNm7R9u+rVe4rtFT5FPBBm/67ifrduZt/2mb00iyRPT8+AgIDDhw9funSpQoUKd1bGx8fv37+/SpUq1apVe4xiAADwpJjN5pkzZ/7lL3+5dOnSnePly5f/4IMPXnjhBe6dAQqem5tbUlLSjh07Hlx29uxZSdWrV38yV71yxZjxu/MVG5t3cbFi8vMzXtnxL/vl7JxTc/68tm+XjX0PKeKB0M/Pz8HBYe/evRkZGXcufZtt79699vb2tWrVuj0yYsSISZMmffnllx988MGdldOmTbt169bw4cPvHHykYgAAkH+3bt0aOXLkkiVLJHl5eXXu3NnV1TUlJWXjxo0XL1783e9+t2HDhvnz5zvf+RMegKeve/fuX3311Y4dO27evFmsWLE8a1asWHHt2jVJv//97x/t7FlZunDBuOHzzBkjBJ45o2vX8q4vVy4n+91+Vaz4aBe1HeaibvTo0ZImTpyYlpZ2e/DWrVvvvvuupJEjR95ZfO3aNU9PT2dn59WrV98eXLNmjbOzs7u7e0JCwmMXPw2ffvqppDFjxjztCwEAUEiMHz9ekrOz85QpU27dunV7PD09fcqUKS4uLpLGjh1rwQ4B23T16tXsG0EbN26cZ0F8fHyJEiUkeXt7P+hE6enmU6fMa9eap041v/KKuWdPc0CA2dnZLOXxMpnMPj7m9u3NY8eaP/7YvHixef9+89Wrj/0uxowZI+nTTz997DNYoyI+Qyhp6tSpZ86cmTZt2qpVq/r06ePu7h4fH79y5cpTp061bt162rRpdxaXKlXqhx9+CA4O7tGjR8eOHf39/SMiIjZt2lSyZMmQkBA3N7fHLgYAAPm0bdu2mTNn2tvbr1ixolu3bncecnBw+MMf/hAYGNi9e/evv/565MiR7dq1s1SfgA0qU6bMn/70p08++WT//v01atRYt27dnQsl/vTTT8OGDUtOTrazs8vZlyIrS+fPKyJCERE6dUonTyoiQmfPKs892JycVKXKXTN+1aurWjVxO0C+Ff1AWLJkyc2bN3/77bcLFiyYP3/+tWvXSpUq1bBhw3fffXfkyJH3PtLavHnzX3/99aOPPlq3bt2OHTs8PDzGjBnz3nvv5flA4CMVAwCA/PjnP/8pacKECbnS4G1dunT5/e9/P3Xq1H/84x8EQqCAffzxx2fOnFm8eHFERISfn1/lypX9/PzS09PDw8MT4uN9pBYm0wcjRzZbulSffKKTJ3XmjPJchMbFRdWry99f1aurenUj/vn46KkuRWPDin4glGRvb//cc88999xzD1lfpUqVmTNnPo1iAADweNLS0rL3W3rppZceUDZx4sSpU6du3LgxNTU1+w5SAAVm0aJFrVq1mvLmm75paf6RkdUjI/2l6pK/5CLJbNa8eXd9gbOzqlWTv7/xys6BPj62tqyLZdlEIAQAANYuOjo6JSWlVKlSAQEBDyirUaNGmTJlEhMTz58/X6NGjQJrD7BRcXE6ccK42/PUKUVEvBwR8XKe836OjqpaVf7+qlEjZwLQ15d5P4sjEAIAACuQmpoq6WGWD82eGMyuB/DEpKXp5EnjdeKE8bp6NY9KBwdVrmxM+t2Of5Ur6541/1EY8F8FAABYAS8vL5PJFB8fn5CQULZs2fuVJSYmxsXFSfL29i7A7oCixWxWVJSR/Y4fNz45d05ZWbkrTSb5+qpGjbviX9WqcnS0RN94HARCAABgBdzc3IKCgkJDQxcvXjxhwoT7lS1evDgzM7NBgwYPCI0A7pKUpBMndPx4TvY7eVI3b+ZRWaaMatRQzZqqWVM1ahgvV9cC7/gRZGbq6lUlJNz1MTFR164pMTH3KyFBkk6etHTTBYtACAAArMPzzz8fGhr6t7/9rV+/fl5eXvcWxMbG/vWvf5WUvV0hgDzExurYMZ04oWPHjBB4/nweZY6OqlbtruwXEKDy5Qu83bwlJeXOeHd+vPMf77d3/QPY2p2tNvZ2AQCA1Ro/fvz06dPDw8O7deu2fPnyXJs8nT59etCgQZcuXWrYsOELL7xgqSaBQiQjQ2fP6vhxIwEePXrfp/7c3RUYqICAnAnAqlULPhjduKH4eF25oitXFB+v+Pj7Rr48tyq8H5NJbm4qW1ZlyxqflC6tMmVUpozc3HI+L11af/ubFi2Sre0fRyAEAADWwcnJacWKFW3btj18+HDt2rXHjBnTvXt3V1fXlJSUtWvXzp49OzU1tWLFisuWLXOwtd/wA5KSk407P7ODX/b9n7du5S6zs1OVKgoIUGCgatZUQIBq1VK5ck+1tYQEI+nFx9/1eVycEfyyX/c2+wDFiuUEvN/8+JAK992vTwvfLgEAgNXw8/Pbt2/fuHHj1qxZM3369OnTp995tGvXrrNnz65UqZKl2gMKzuXLRvA7dsyYADx/XmZz7jJXV2PGr1Yt1aplfP7ktujMzDQm9OLidPmy4uIUF6eoqJTQ0AtRUWk3bxbLzHRLTy9tNts95AlLlFC5cnJ3l7u7ypV7UMx7iCWH8VAIhAAAwJq4uLiUKFEiz0OlSpViM3oUTVFROnZM4eE5H+9352f2jF/NmsYtoJUry+5hw1gu6elG0rsd9rKzX2ys8Un20by4Sv65huzsrlWs6OTt7VqunO58eXjc9Y/EvIJHIAQAAFYjOjq6Xbt2p0+fdnBwGDx4cHBw8O1bRpcuXbps2bLQ0NCtW7ey5wSsmNmsc+dyx7/r13OX2dmpcmUj/gUEGJ+4uz/8deLjdfmyLl9WbKwuXVJcnGJjc1Lf5ct5R8572dvL3V0eHnJ31/nz+86c2SNd8fFx7dSpTpUqxUuWTDt//sCSJdNjYi5cuuT42Wdzhw8f/vBNogAQCAEAgHXIzMwcMGDA6dOnq1ev/v3339erV+/2oVGjRv35z38eNGhQRERE//79d+3axWOEsA5ZWYqM1NGjxis8XMePKykpd5mDg/z8VLu2atUyPtas+YAn3rKyjGm9S5eMmHdn6sv+5GEe2HN0NMKeh4cqVDDu5Mz1+e0Q+p///Of11193dHScMmXKhAkTTCbT/07T7cMPX3nppZe++eab559/PiAgoGHDho/xrwpPCd8rAQCAdZg3b97evXvLli27fv36KlWq5Dpar1699evXN2rUaP/+/XPnzh03bpwlegR+S2SkwsN15IiOHNHRozp+PI8d/xwd5e+vwEAFBubEPyenO0uSk3XhhC5f1sWLio1VbKxiYhQbq4sXjSh47x7y98pOeuXLy8tL5csbSS8747m7q0IFlSnzsG/rypUr77//vqQpU6b8/ve/z3W0RIkSc+fOvX79+vLly19//fUtW7Y87Hnx9BEIAQCAdZgxY4ak99577940mK1y5cqTJk169dVXZ8yYQSBEoXDpkpH9wsN1+LDCw3XjRu4aJydj0ZfatY0Q6O9vdnDMnt+LjtblUF1caUS+mBhduqSLF5Wc/BtXtrc3wp6npxHzbqe+ihWNQ09wHn3hwoXXr19v1KjRhAkT8iwwmUxffvnl2rVrt27devTo0cDAwCd2beQPgRAAAFiBxMTE/fv3m0ymZ5999gFlI0aMeP3110NDQxMSEsqWLVtg7QGSlJiYk/2OHtXhw7pyJXeNs7Px1F+dOld96l0sVzfazifmsv2FC4qNVdR8xcbqwgVduqSMjN+4WunSqlhR5curUiVVqKCKFVWhgry85Olp5L2cezafvg0bNkh69tlnTfe/asWKFTt16rRq1aoNGzYQCAsPAiEAALACMTExZrPZ3d3dw8PjAWXZBZcuXYqOjiYQ4um6eVNHj96VAKOicte4ul72bxXt3eyCe4MoF/9oe98LSWWiLpiiQxW1QikpDzq9vb0xv5dn6vPyKlyb5kVHR0sKCAh4cFmtWrVWrVp14cKFAmkKD4VACAAArED2IjHp6em/WZld43T3A1dAfqWn68SJnDs/jxzRmTPZD+qZZYqVZ7QqRZsanS8XFF22brSL3/mMitFJpaMvO6Yekg7d96zZkc/bW15eqlRJFSuqYkVVqiQvL1Wo8NgbRliAo6OjHuJvKH89CyECIQAAsALe3t5OTk7Xrl07ffq0n5/f/crOnj2bkJDg5OTk4+NTkO2hCIqM1JEjOnxYBw8qPDzrRERserko+USrUpQqX1CraFWKcqh6waHKxXSPW5n2kmSWrkh33yVqZydPT/n4qFIleXsbn/j4GCGwyGy7V61atT179oSGhvbu3fsBZaGhoZIe8FcYBY9ACAAArICrq2uHDh3WrVs3Y8aMf/zjH/crmz59uqR27doVK1asALuD9bt+PTv+xe85FfVr/PkTKeduekTJ57yqRaldlHxi5JVx70/OGVKGJDk4qEIFVa6sSpVUqZJ8fXM+8fSUo2PBv5+C1qNHj++++27u3LlvvfWWi4tLnjUHDx7cuXOnnZ1dcHBwAbeHByAQAgAA6/Dmm2+uW7fu888/79u3b+vWre8t2LVr1+eff55dWeDdwZpkZeninqjILZGR+6+cO55yLsru/A23KPlEauRN3fdXCY6O8vKSj498fFSxonx95e1tfOLpKXv7gnwHhc6gQYMmTZoUGRn55ptvTp069d6ClJSUMWPGZGVljRo1ysvLq+A7xP0QCAEAgHXo1KnT6NGj582b17179y+//HLkyJG31zM0m83ffvvtxIkTb926NWrUqC5duli2VRQSGRmKjta5c4o8lRG59/K58KTISJ2LLxGV4n5LPlIe9xWbZPYsk+rrneVTw9Wnsl3lysZ0n4+PlT3UV8BcXFxmzJjRo0ePadOmJScn/+tf/3Jzc7t99OjRo6NHjw4LC6tYseJnn31mwT5xLwIhAACwGtOnT4+NjV23bt3o0aM//vjjbt26ubq6pqSk/Pzzz8ePH5fUtWvX7O0KYWuuXdPhwzp1SpGRioxUZET6udMZF+KcM7KyM5yDVPHOeifd8nG6VLnsjSo+mZUDi1dp4uETWNLXV97eJmfnwrR8p/Xo1q3btGnTXnnllTlz5oSEhPTq1cvb21tSWFjYpk2bMjIyypcvv3z5ck9PT0t3irsQCAEAgNVwdXVdtWrV559//umnn544ceLEiRO3D7m7u//pT396/fXX7W381r2i7tYtnTunM2d09qzxyv48ISFXoaPkKMlR6T6KqqYzVZwuVqmUXrmGc5WGZau08anYoaadCysPPWETJkyoU6fOn/70p927dy9YsOD2uJ2d3YgRIz7++GNfX18Ltoc8EQgBAIA1sbe3f/311ydOnLhhw4a9e/fGxMR4eno2a9asU6dOzkVmxUZIki5ezMl7tz+Jjs7e6yE3Z6V5KcZTsdV0pqrOVrU7V9U3s1rd4t7NKrEAiUgAACAASURBVDk0qKO6deXbucDfgS1q06bNrl27jhw5sm7dusjISCcnp1q1avXq1YuJwUKLQAgAAKyPk5NTjx49evToYelG8ARkZCgyUqdOKSJCJ0/mJMDU1LzrS9kl+WVF+On0nS8f9xS7oPqqX19166puD9WuLTa7s5w6derUqVPH0l3goRAIAQAAUEAyM3XunJH9Tp3SyZOKiFBkpPLcz9zB3uxTMrGq3bmqKUerpYRX1dmqOuun0x5ZcZLk66ugIAUFKaiXgoLEzpPAYyEQAgAA4MnLylJUlBH8IiKM15kzunUrj2JXV/n7pFYvddlfEdWvh1a9sL3qzXDfzPMOiRlGhZ2d/P0VFKSg/mrYUEFBKleuIN8OUFQRCAEAAJBf8fE6cUInTujkSZ08qRMndOqU0tLyqHR2lp+favibq7vF+5tO+V8/UP38Ju9j600nb9xV5+Sk2nX/NwcYpPr1VaJEwbwXwKYQCAEAAPAI0tN16pSOHTOy3/HjOnlS8fF5VDo5qWpV+furRg1Vr5bl73y++vVQ38htdqH7teFXJSffVe3qqnr11KiRMQFYpw4PAQIFgEAIAACA+7p+XceP69gxHT+uEyd09KjOnMnjkT+TST4+qlFDNWqoZk3VrCn/apmVU47bh+3XgQPafUAzftXNm3d9jaur6tdXo0bGKzBQDvxoChQ0/tYBAADAEB+v8HAdO2Z8PHpUFy/mUVaihGrWVECAAgKMEFijhoq5ZOnkSe3bp/37tWifDh7MnQCLFTMSYMOGJECgkOAvIQAAgI2Ki9ORIzp+XEeOGCHw8uU8yjw9VauWEf9q1VLNmsrZXTwyUvv2aeE+7d+vAwd0/fpdX1msmBo0MOJfo0aqVYsECBQ2/J0EAACwCbGxd83+HTmSx4N/Dg6qWtWIfzVrKjBQAQEqU+aOipgY7d+vWfu0f7/27dOVK3d9vbOz6tdXkyZq3FiNG6tWLdnbP+33BSA/CIQAAABFUFycDh9WeLiOHNHRowoP19WruWtcXIzIFxho3AJao8Y9K7lcvaqf/xf/9u/XhQt3HXVwUGCgkQCbNFG9enJ0fKrvC8CTRSAEAACweteuGdnvyBGFh+vwYcXF5a5xcJC/v+rUUZ06ql1bdevKzy+vCbzUVIWGau9e7d2rfft06tRdR00m+fvnJMCgIBUr9vTeF4CnjUAIAABgfWJidPiwDh7U4cM6fFi//pq7wGRSlSo52a92bdWqdZ99HLKydOKEkQD37NGhQ7lXEfX1zUmAjRurdOmn9KYAFDwCIQAAQGGXkqLw8Jz4d+hQ7mf3JHl53TX7Fxj4wI3cr1zRnj3avVu7d2vfPl27dtdRNzc1bapmzdS0qRo3VoUKT/wdASgkCIQAAACFTmysDh7Ur7/q4EEdPKgTJ5SZeVeBo6MCA1W/vho0UP36ql9f5co98IwZGTp0yEiAu3crIuKuo05OCgpS06bGy99fJtMTf1MACiECIQAAgIVlZurkSYWF5YTAS5dy15Qtm5P96tdXYOB97v+8U0yM9uzRrl3avVv79+feFbBqVbVooWbN1KyZgoIe4nQAiiACIQAAQEG7dUuHDysszHgdOqTk5LsK7OxUrdpdCTBn678Hnzc01LgXdNcunTt319HixdWkiZo3N17cCAqAQAgAAFAAUlP166/at89IgOHhuddtcXFR3boKCjJCYN26Klny4U4dHa1ffjGmAUNDlZaWc8jBQUFBatFCgYFq1kx16rAvPIBc+KYAAADw5GVk6MgRY/e+fft05EjuBFi6tBo0UFCQ8apV66HDWkaGDh40QuDOnTp//q6j5cqpRQu1bKmWLdWkCXtCAHgwAiEAAMATkJWlkyeNzdv37dOvvyol5a4Cd3c1aqRGjYwEWK3ao6zbcvVqTgLct++uG0xNJtWqpRYt1KqVWrRQzZqsBwPg4REIAQAAHlNkpDEBuH+/DhzQ9et3HfXwMBJgo0Zq2FCVKz/62XfsMF7HjikrK+dQ8eJq2tRIgC1ayM0t/+8FgG0iEAIAADys+Hjt2aM9e4wQGBd319HSpY1dG7JD4EMtA3OnzEwdOqQdO7Rzp3bsUHT0XUd9fdW6tZo3V6tWqlePpwEBPBF8KwEAALiv7EcBs1ds2bNHJ0/KbM456uio+vWN/dubNn2suzWTk7VnjxECd+3SjRt3nb1hw5wHAitVeiLvCADuRCAEAAC4S2xszsYN+/fn3hDCz09NmxohMChILi6PfoFLl7Rzp7Zv1y+/KDRUGRk5hzw8chJg48Zydc3newGAByMQAgAAW3frlsLCckJgZORdR8uVMyYAs1/u7o91jchIbd2qrVu1Y4ciIu46VLmy2rZVmzZq00YBAY/7JgDgcRAIAQCALcrevW/3bmP3vtTUnEOOjmrQQC1aGAnQ3/9xr3HmjLZu1ZYt2rr1rj3iTSYFBBgJsF07+fjk540AQH4QCAEAgE3IytLRozkrtuSaBnR3NxbsbNVKjRvnY/e+Eye0fbuRAy9cyBm3t1f9+mrTxpgM9PB43AsAwJNEIAQAAEVWaqr27zdC4M6duno151D27n0tW6pVKzVvno9bNbOydOiQtm3T9u3asUOxsTmHnJ3VpIkxE9iqlUqVys97AYCngUAIAACKlOvXjRVbtm/Xvn1KS8s5VKKEmjR5Erv33bql/fuNa+zcqcTEnEPFi6tlS2MmsGlTVoUBUMgRCAEAgNW7fFk7dhizdAcPKjMz51DlykYCbNkyf7v3ZWRo715t2aLNm/XLL7p5M+dQiRJq3Vpt26pdOzVpIkfH/LwXAChIBEIAAGCVoqO1ZYsRAo8dyxk3mVS7ttq2NTKat3c+rpGZqdBQbd6sLVu0fbuSknIOlSplTAO2a6dGjdgmHoCV4psXAACwGufPG3s3bN2qU6dyxh0c1KCBsWZnq1aPuzNENrNZhw5p0yZt3qxt23TtWs6h7JnADh3UoYMaNpS9fT4uAwCFAoEQAAAUaufOacsWY++Gs2dzxh0c1Lix2rdX+/Zq2VIlS+bvMqdPa+NGbdqkTZsUF5czXqyYWrZU+/bq0EFNmzITCKCI4ZsaAAAodOLijGi2caNOn84Zt7dXgwbq0EHt26tt23yHwNhYIwRu3HjXPoGlS6tdOzVtqjZt1KyZnJ3zdxkAKLwIhAAAoFC4cUPbtmnjRm3cqMOHZTYb4yaT6tZVhw7q2FFt26pMmfxdJjFRW7calzl6NGfc1VUtW6pTJ3XsqMaNuR0UgI0gEAIAAItJT9fu3Vq/Xhs3au9eZWTkHAoMNGYC27fP3zOBklJStHOnMRN44EDOIqTZd5127KhOndSypVxc8ncZALA+BEIAAFDQwsO1YYPWr9fWrXet3FmjhvGwXvv28vTM3zUyM3XggJE1d+1SaqoxbjKpTh1jJrBdO5Uunb/LAIB1IxACAICCEBOjDRuMHBgTkzPu5aXOndW5szp1UqVK+b5MVJR+/lk//6yNGxUfnzNepYo6dTJyYIUK+b4MABQRBEIAAPC0pKdrxw6tW6e1a3XoUM5jgSVKqG1bdemizp1Vp06+L3PzprZu1c8/a926u3YkLFdOnToZWbNatXxfBgCKIAIhAAB4wiIjtXat1q3Txo26ccMYtLdXkybq3Flduqh5czk55e8aZrMOHjQmA3fsUFqaMe7goObN1a2bunZVo0asDQMAD0YgBAAAT0BKirZuNSYDjx/PGffyUnCwunVTly4qWzbfl7l0yQiB69fr0qWccT8/de2qrl3VsaNKlcr3ZQA8vsjIyDlz5mzYsOHy5csODg6+vr59+/YdPXp08eLFLd0a8kAgBAAAj+/ECa1Zo7VrtW2bUlKMQUdHtWql4GAFB6tePZlM+btGaqp27jRy4MGDOTeeliqlDh2MyUA/v/xdA8ATkJWV9eGHH37yySept5dxko4fP/7zzz9/9NFHM2bM6N27twXbQ54IhAAA4NEkJWnjRq1dq7VrFRmZM165shECO3XK95bxkk6dMq6xebNu3jQG7ezUpIkxGdiihRz4SQYoLLKysoYNG7ZkyRJJHTt2HDVqVM2aNdPT03fv3j179uzjx4/369fvyy+//N3vfmfpTnEXvo0CAICHcvKkfvxRq1dr507dumUMuriobVsjB9aqle9rJCdr82YjB54+nTPu7W3MBHbqpHLl8n0ZAE/ehx9+uGTJEldX16+//nrYsGG3x9u0afPHP/7x7bffnjx58ssvv1ynTp3WrVtbsE/kQiAEAAD3lZmpHTu0cqV+/FEnT+aM+/srOFjdu6tdOxUrlu/LhIcbIXD79pzlYZyd1bq1kTWfwFKkAJ6iqKioTz75RNK8efMGDx6c66idnd1nn32WkJAwa9asV1555cCBA6b83kqOJ4ZACAAAcrt+XWvX6qeftHq1EhKMQScntW+v3r3Vo8eT2MQhOVmbNmnNGq1erXPncsb9/IwQ2KGDWIICsBILFy5MTU1t06bNvWnwtk8//fS7774LCwsLCwtr2LBhQbaHByAQAgAAw7lz+vFH/fijtm3LuSnU3V09eqh3b3Xr9iSeDIyI0OrVWr1a27bp9rITrq5q317duys4WP7++b4GgIK2bds2SXfeKXqvcuXKdevWLSQkZNu2bQTCwoNACACArQsL048/asUKhYXlDAYEqE8f9eqlli3zvZlfWpq2btWqVVq9WqdO5YxXq6bu3dWzp9q3l6tr/q4BwJJiYmIkVfutmwf8/PwkRUdHF0RPeDgEQgAAbFF6urZt04oV+vHHnBs27e3VooX69lXfvk9ioi4mRqtXa9UqrV+vpCRj0NlZbdoYObBmzXxfA0Ch4OLiIunO3SbylJKSIsmVXwAVJgRCAABsyM2bWrtWISFavVpXrxqDxYqpSxf16aPeveXhkb8LmM06cEArV2rVKh04kLNnYMWK6tlTPXqoc2eVKJG/awAodKpXr75r167du3f37dv3AWW//PKLJH/uDC9MCIQAABR9169r5UqFhGjNmpwt/Tw81KuX+vZVly75Xik0JUXr1+vHH7VqlWJjjcHsPQN79VLPngoKyvf+9AAKr379+n377bezZ89+9913S9znlz47d+4MDQ11cHAIDg4u4PbwAARCAACKrPh4rVihkBBt2JCzm0PVqurXT/37P4mHA69c0cqVWrFCP/+cEzRLlVKXLsZ8YIUK+bsAAOvQt2/fWrVqHTt2bNy4cX//+9/nz5+/YcOGy5cvOzg4+Pr69u3bt3v37mPGjJE0btw4j/zeioAniUAIAEBRExurH37Q999r61ZlZBiD9eqpf3/166cGDfJ9gdOntWKFVqzQzp3KzDQGq1ZV797q3Vtt28rJKd/XAGBN7O3tZ82a1bFjx8WLFy9ZssR8+3Zx6fjx4z///LOdnV1WVpa/v//HH39swT5xLwIhAABFxMWLCgnRsmXavl1ZWZJkZ6dWrYwc6OeXv7Obzdq3z1iF5sgRY9DOTs2bG6uR1q2bz/4BWLWmTZvWrl07NDTUbDabTKbq1avXrFkzKytr//79ly9fzsrKktS/f383NzdLd4q7EAgBALBuFy7o+++1bJl++cXIgfb26tBBQ4aof/9837OZlqbNm40cePGiMVi8uLp0Ue/e6tVL5cvns38ARcN7770XGhrq4uJSr169ffv2RUREREREZB/KHty7d+8///nPLl26dO7c2bKt4k4EQgAArFJUlJYu1bJl2r3bWMvTzk7t2mnIEA0cmO8cePWq1qzR8uVau1Y3bhiDHh7q00f9+qlzZ7m45LN/AEXJ+fPnp0yZIunbb78dNGjQhQsXNm7cePsZwq5du5YsWfKFF16YOXPmG2+8ERYWZmKVqUKDQAgAgDW5dEnLlmnRopz5wOz7QocM0aBB8vLK39kvXNDy5Vq+XNu2KT3dGKxSxViFplWrfK9CA6Bo+u6779LS0jp27Dho0CBJ3t7eo0ePzlUzefLkRYsWHTx4MCwsrGHDhpZoE3kgEAIAYAWuXlVIiBYt0ubNxjIuDg7q0kXBwRo0SN7e+Tv7sWNavlw//KD9+3N2Dqxb18iBQUH5bB5Akbdt2zZJQ4YMeUBNmTJlunbt+v3332/dupVAWHgQCAEAKLxu3NCPP2rRIv38s27dkiSTSa1aadgwDR6cv8f3sheJ+eEHLV+u48eNwexFYvr104ABql49//0DsBEXL16UVLVq1QeX+fn53S5GIUEgBACg0ElP19q1WrBAP/6olBRjsG5dDR+uoUNVpUo+Tp2ZqR07tGyZli/XhQvGoKOjOnRQ//7q2zffd50CsEXFihWTlJyc/OCy7ILsYhQSBEIAAAoLs1m//KKFC7V4seLjjcHq1TVkiIYNU506+Th1Zqa2btWyZQoJ0aVLxmDx4ureXf36qWdPlSmTz+YB2LIaNWr88ssvu3fv7t+//wPKdu3aJcnf37+g+sJvIxACAGB5O3YYS4bevpGqZk2NGaNhw+Trm4/zZmRo82YtW6YfflBcnDFYurT69NGgQerSRa6u+ewcACT16dNn7ty5c+bMeeedd0qXLp1nzZYtW0JDQ52cnHr06FHA7eEBCIQAAFjM5ctauFDz5+vAAWOkbFkNHqwRI9S6tR5/VfaMDG3caOTA21ONbm7q21eDBqlzZzk75795C8rKygoJCVm+fHlYWFhMTIynp2dQUFC/fv0GDhxoZ2dn6e4AW9SnT5/AwMCjR48+//zzS5Yssb9nReK4uLgxY8ZIeuGFF8qWLWuJHpE3AiEAAAUtLU0rV2rePK1da2zu4OKiXr307LPq3l1OTo973sxMbdqkpUsVEpKTA8uVM3Jgp075OHUhcvr06WHDhu3bt+/2yNWrV48dO7Zw4cJGjRotWrSoOsvhAAXO3t5+1qxZHTp0CAkJ6dat23//+98aNWrcPrpmzZrf/e5358+f9/f3/+CDDyzYJ+5FIAQAoODs2aNvvtGiRUpIkCSTSW3aaPRoDRqk+9xj9RCynw9cskQhITn3hZYrp/79NXiwOnaUQ9H53314eHjbtm0TEhJKly49ceLE4OBgV1fXlJSUtWvXTps27cCBA02bNt22bVudfD1wCeBxtGjRYunSpSNGjNi4cWOtWrWaNWsWEBCQnp6+e/fuU6dOSQoICFi1apWbm5ulO8Vdis7/IQAAKLQiIvT111qwIGddzwYN9NxzGjxYFSs+7kmzsrR9u5Ys0fff56wT4+amfv00ZIg6dZKjY/47L1RSU1P79euXkJDQvHnzH374wdPT8/ah1q1bT5w4ceDAgb/88ku/fv0OHz7syuORQIHr3bv3gQMH3njjjZUrV+7atSt7CRlJrq6uL7300qRJk0qVKmXZDnEvAiEAAE9LWpqWL9fs2dqwQVlZklSqlAYN0ujRatPmcR8RNJu1Z48WLdLSpTlL0JQpo759NXiwunQpGveF5unLL788deqUj4/PypUry5Url+uop6fnTz/9FBQUdPr06WnTpr355psWaRKwcf7+/itWrIiLi9u+ffu5c+ecnJxq1qzZqlUrfkdTaBEIAQB48g4e1OzZmj/fuDXUzk5du2rUKPXvr8fff+vXX7VokRYvVmSkMVKypPr21ZAh6trV2teJeRjz5s2T9Le//e3eNJitbNmyH3zwwXPPPTdv3jwCIWBBHh4eAwYMsHQXeCgEQgAAnphLlzR3rubO1fHjxki9enr+eT3zjO64vfERZW9J8cMPiooyRkqV0tChGjlSLVronqX8iqqEhITDhw/b29sPHDjwAWUDBgwYN25ceHj4lStX3N3dC6w9ALBSBEIAAPIrK0ubN2vOHH3/vVJTJcnFRQMG6Pnn1aGDHnMfhAsX9N13WrBABw8aI05O6tpVQ4eqTx+VLPmkmrcWMTExksqVK/fgZ5BKlizp4eERExMTHR1NIASA30QgBABbFx0dHRISEhYWlpSUVLJkyUaNGg0YMMDz8eezbEt0tObO1ezZOnPGGGnYUM8/r+HD9ZgL6V27pu+/1/z52rrVeO7Q3l4dOmjoUA0Y8LgnLQqKFSsmKTk5+Tcrb968Kal48eJPvScAsH4EQgCwXampqZMmTfriiy9u3bp1e3D27Nl//OMfX3vttffff9+p6C5Pkk8ZGVq9WrNmafVqZWZKkpubnn1Wzz+vBg0e64xpaVqzRgsWaOVKY5LRZFKLFho2TEOGqEKFJ9i8lapUqVLx4sWTk5MPHTpUr169+5WFh4dfu3atWLFiPj4+BdkeAFgpAiEA2KjExMTg4OA9e/ZIatGiRXBwsKen58WLF9esWbN3795PPvlk27Ztq1evZonwXA4e1H//qyVLlJgoSQ4OGjxYL7ygDh0e62m+rCzt2KEFC7R0qa5eNQZr19bw4Ro2TFWrPsHOrZ2Tk1NwcPD3338/ZcqU2bNn36/s3//+t6Ru3bo528AqOwCQfwRCALBFZrN56NChe/bs8fDwmDdvXvfu3W8fev/99zds2DBs2LCdO3eOHDlyxYoVFuyz8Lh1SyEhmjlTmzfLbJYkT0+NHq2xY+Xv/1hnPHJECxZo4UKdP2+MVK6sYcM0bJjuP/1l4955550ffvhh7ty5wcHBQ4YMubcgJCRkzpw5dnZ277zzTsG3BwDWiEAIALZo4cKF69atK1269ObNm2vXrp3raOfOnTds2NC6desff/wxJCTExpcOP3dO//d/mj3b2Pvd3l7dumncOPXq9Vgbv1+4oEWLNH9+zlIx5crpmWc0fLhatnzcrQltRcOGDd96661PPvlk+PDhR48e/dOf/lTsf5t43Lx5c/LkyR999JHZbH7rrbcaN25s2VYBwFoQCAHAFk2dOlXSW2+9dW8azFa/fv3XX3/9gw8++OKLL2wzEGZlad06TZ+e85RgpUoaP15jx8rb+9FPd+mSFi3St9/qwAFjpEQJDR+ukSPVsuXjrkNqi/7+97/Hx8d/9dVXf/vb3/7973+3a9fO1dU1JSVl27Zt169flzR+/PgPP/zQ0m0CgNUgEAKAzUlMTNy3b5+dnd2YMWMeUDZ27NgPPvhg586dN2/eLPb4m6lbn/Pn9d//6ptvFBMj3fGUYMeOjx7cMjO1fr3mztWKFXctFTNypIYMUdmyT7z5Is/e3v7//u//Onfu/Pbbb58+fXrlypW3D1WrVu3jjz9+5plnLNgeAFgdAiEA2Jzo6OisrKzy5cs/eG8JX1/fMmXKJCYmRkdH+z/mc3JWZtcuTZ+upUuN7FamjJ57Tr/7nWrWfPRznTypuXP1zTeKjjZG/Pz07LMaOVJ+fk+wZ9s0ePDgwYMHHz58OCwsLCYmxtPTMygo6AFLjwIA7odACAA2JysrS5LpoR9XM2cvolJ0paVp8WJNnar9+42RRo30+99r6FA98szo9etaskRz52rnTmOkdGkNHqzRo9WqFY8IPll169atW7eupbsAAOtGIAQAm+Pt7W1nZxcXFxcbG/uAScKzZ88mJiY6ODh4P84zc9bhwgXNmKGZM3X5siQ5O+uZZ/TSS2ra9BFPlJWlLVs0d66+/143b0qSvb26dNGoUerXT66uT7xzAACeCAIhANgcNze3Jk2a7NmzZ/bs2Q9YnX/OnDmSWrVqVfQeIDSbtXKlvvhCmzYpK0uSAgL02msaOlSPvO1iVJTmzNHcuTp71hipXVujR2vECFWs+GTbBgDgiSMQAoAtevnll/fs2fPZZ5/17ds3z4VGDx48mL3B98svv1zg3T1FqalasEDTpunXX42R1q318svq3/8R95BIS9OKFZo9W+vXG5mybFmNGKFRo8SGBwAA68E61wBgi4YPH961a9fr16+3b99+9erVuY4uX768Y8eOycnJvXv3HjhwoEU6fOIuX9b778vXV+PG6ddf5eKi559XaKi2b9eQIY+SBjds0KhRKl9ezzyjdetkb6/Bg7V+vS5f1hdfkAYBANaFGUIAsEUmk2nRokXdu3ffs2dPz549mzdv3r17d09Pz4sXL65evXrfvn2SWrduvWDBAkt3+gSEh2vKFM2fb6wd6u2tl17SuHFyd3+Us1y7pgULNGdOzsozVarouef03HOqXPmJ9wwAQMEgEAKAjXJzc9uyZcukSZO++OKL3bt37969+/YhFxeX11577f3333dycrJgh/mUmamQEH3+ec56n50765VX1LPnI24nuH27Zs3S0qVKSZEkFxf176/nn3+sfQkBAChcCIQAYLtcXFz+8Y9/vPrqqyEhIWFhYUlJSSVLlmzUqNGAAQMevEVhIZecrFmzNHWqTp+WJBcXjRqlCRPUoMGjnOXyZX3zjWbN0okTxki9eho3Ts8+Kze3J94zAAAWQSAEAFtXqVKlIrNyTEKCZszQ1KmKjZWk0qU1bpxefvlRbupMT9fy5frqq5wVSN3dNXasRo9WrVpPqW0AACyFQAgAKArOnNGUKZo9W8nJkuTnpz/8Qc89p5IlH/oUFy/q66/19dc6d84YadFC48ZpyBCVKPE0egYAwOIIhAAA6/bTT/riC23cKLNZknr10h/+oE6dZDI93NdnZWnDBs2YoZ9+UkaGJJUrp5EjNW6c8tqQAwCAooRACACwShkZWrhQU6YoLEyS7O01fLhefVUNGz70KS5f1ty5+uor41lDSW3b6sUXNXCgnJ2fRs8AABQ2BEIAgJXJytKyZfrrX3X8uCQ5OmroUL35purWfbivz15+9M6nBMuX14QJGjdO3t5Pr20AAAohAiEAwGqkp2v+fH32mbHwZ8mSGjdOr70mH5+H+/pr1zRvnmbM0LFjxkizZnrxRT3zjIoVe0o9AwBQmBEIAQBW4OZNzZqlf/1L589Lkru7/vAHvfTSQ28AceSIvvxS8+crKUmSSpbU8OF68UUFBT29ngEAKPwIhACAQi0mRp9+qjlzdOOGJNWsqXfe0dChcnJ6iC/O3kPiyy+1dasxUqeOJkzQs8+qVKmn1zMAANaCQAgAKKTOn9dHH2nes9FJqgAAIABJREFUPKWlSVLjxvrLX9Szp+zsHuKLIyP1n//om2+UmChJxYtrxAi98IIaNXqqPQMAYF0IhACAQuf8eX32mWbPVmqqJDVsqLff1oABDxcFd+zQtGkKCVF6uiT5+urFFzV2rCpUeKo9AwBgjR7mf61W7Pjx46bfkpj9y+P/iYmJuV/lli1b7r1EZGTk+PHjfX19XVxcfHx8xo4de+bMmQJ6ewBQ5Jw5o/Hj5e+v//5Xqalq21Zr1+rAAQ0a9FtpMDVVc+aoYUO1aaPFi5WZqeBgrVihM2f0zjukQQAA8lTEZwjd3NxefPHF+x1dsGCByWRyvnuzqZs3b0rq1q1b48aNc9VXrlw518iuXbuCg4OvX7/eoUOH7t27nzp1avbs2UuXLl29enXr1q2f0JsAAJtw4IDef1+rVysrSyaTBg/WO++oQYOH+Mrz5zV9umbN0pUrklSqlMaM0cSJ+n/27jMsqmttA/AzQ6/SlCIgqMQSNTFo7CWiERRsUSwYS1RsBASVoiJobKBisJdYMBbsBQV7V7BFFDsWNIqAKAgjnZnvx/hxjAUBB4by3L9w7Xfv9c51nUPmYe+9Vt26pdwyERFRhVfJA6GhoeHKlSs/eSgoKEgkEoWGhqqpqb0/np6eDmDAgAHDhg0r/OLp6el9+vTJyso6ePBgt27dpIMRERG9e/fu3bv3/fv3dYu6+B0RUZV26RL++AMHD0IigYICfv21aJsKfrydYJMmmDgR/ftzW3kiIqIiquSPjH5OTEyMt7e3o6Nj//79PziUlpYGQF9f/4sXCQ4OTkhImDRpUkEaBGBnZ+fl5ZWcnLxw4ULZ9kxEVPlcu4ZffkGrVjhwAAB69cLFi9i48UtpMDMTa9agaVM4OuLYMUgk6NIFBw7g2jUMGcI0SEREVHRVMRBKJJJRo0apqaktXrz446PJyckoWiDcsmWLUCh0cXH5YNzFxUVJSWnz5s0y6ZaIqFK6fh29esHaGrt3A4CjI65fx549X1oE9MULTJsGc3M4OyMmBurqGD0aN2/iyJEiLz9KRERE/1PJHxn9pG3btl28eDEgIMDwU2sMJCYmAqhevXrhF0lMTLxz506TJk2MjY0/OFS9enVra+uoqKhHjx7Vrl1bVm0TEVUON29ixgzs2vXuAdGBAzF1KurX/9JpV6/izz+xfTtycgDA1BQuLnB2LvLO9ERERPQJVe6Pqfn5+b6+viYmJm5ubp8siI+PB6CoqJiZmVnIdW7fvg2gYcOGnzzaqFEjAHfu3PnadomIKpGrV9GlCxo3xs6dUFCAszMePsTffxeaBnNzsXEjrK3RrBk2bUJODjp3xv79ePIEXl5Mg0RERF+pyt0h3LFjx4MHDxYsWKDymZdM/v33XwDSO3s1a9Zs2bKlk5NTz549hf99EkmaGw0MDD55EekTp9IaIiK6dg3Tp/9v2ZgRI+DjAwuLQs9JT8fatViyBNK9fBQV0bs3JkxA69Zl0TEREVHVUOUC4YIFC7S1tQvZi8LZ2blLly5paWlxcXHXrl07ePDgrl27fvzxxx07dpibmxeUvX37FoCent4nLyIdF4lExepNLBYHBATExcUVsT46OhrAmzdvijULEVFZev4cvr74+2/k5UEgQI8emDHjS5tJJCRg8WKsWAHpPrE6Ohg5Ei4u+GjvHyIiIhmSfq/evXt30fcVt7S09PT0FFbkl9irViC8evXq1atXR48eramp+bma1q1bt37vz8+vX7+eNWvWokWLOnXqdOPGDXV19feLBQLBJy8iHZdIJMVq7/79+1OmTCnWKQDu3btX3FOIiMpASgrmz8fixXj7FgC6dcOMGfhoh9f/uncPCxdi40ZkZwNA7dqYMAHDh+Pzv7SJiIhk5e7duwAuXbp06dKlop/Vq1ev+l9+Fb78qlqBcP369QBGjBhR9FP09PSCgoIALFq0aNmyZZMnT5aOa2hoAHj16tUnz5KOa2lpFau9+vXrr1+/XrqqTVGcPn06IiJC+r4iEVH5IRIhOBgLFry7w2djg1mz0LJloeeEhSEgAOfPv/unvT3c3GBjg8/83Y2IiEjmGjdufPv2bTs7uw4dOhTxFENDwwqdBlGlAqFYLN6+fbuFhUXz5s2Le+64ceMWLVoUHh5eEAili4u+fv36k/XS8Y8XIP2iYcOGFas+IiLig5uWRERylJaGoCAsXoyUFADo2BFz5xYaBfPysGULFi1CdDQAKCpi4EC4u6Np07JpmIiIqID0e3WHDh28vLzk3UvZqUKBMDIy8uXLl4MHDy7BuRYWFvjvIjHS9UWla41+7NatW/j8GqRERJVPVta7u4LJyQDwww8ICEDnzp8/IScHmzdj/nxIF2RWVcWQIfDwQL16ZdMwERERoUoFwvDwcAC2trYlOFcaBatVq1YwYmRkVL9+/ZiYmMTExA/2M3z16tWVK1csLCy4CSERVRGhoZg+HbGxAGBmBn9/DBkCxc/9F0Ykwpo1CArCs2cAYGCAsWPh4oIaNcqsYSIiIpKqwOvhFNfZs2eFQmHLL7zF8mmHDh0C0K5du/cHnZyc8vPzly1b9kHx0qVLc3JyBg0aVOJWiYgqiosX0bEjBg5EbCwMDBAUhPv38dtvn0mDL19i+nTUqgUPDzx7BnNzBAcjLg4zZzINEhERyUVVCYR5eXlXrlxp0KCBtrZ2IWXnz5//eK+IvXv3Tpo0SUNDw9XV9f1xV1dXIyOjwMDAiIiIgsFDhw7NnTvXwMBg0qRJMuyfiKi8iY2FoyNatcLp09DUhJ8fHj2CuztUVT9VfecOhgyBqSn++AOvX6NFC+zfj8eP4eoKDY2ybp2IiIj+X1V5ZDQuLi4zM7NOnTqF1IjF4j59+qSlpf3www+1a9fW1NRMSUm5dOnS48eP9fT0tm3bVuu/W2Bpa2vv2bPH1ta2W7dunTp1srKyio2NPXHihJaW1u7du3V1dUv5MxERyUdcHDw9sWsXxGKoqGDCBHh64jPbsgIxMQgMRGgo8vIAoE0beHnB3p7LhxIREZUHVSgQAnh/Z/mPCYXCkJCQXbt2RUZG7t+/PyMjQ1tbu169esOHDx8zZkz16tU/PqVly5bR0dGzZ88+fPjwuXPnqlevPnz48GnTpvHtQSKqlFJT4eeHlSuRkwOBAL/+ilmz8NnfrJcuYfZshIVBIoFAgO7d4e2Ntm3LtGMiIiIqVFUJhJ07dy7KNvG2trbFXXXGwsJizZo1Je2LiKhikC4iGhgI6W47HTpg/nx8dhOfU6cwZw6OHgUABQX07w9vbzRuXGbdEhERURFVlUBIREQltm8fPD1x/z4AWFpi9mwMGPCpRz7z87F5MxYuxI0bAKCujpEjMXHi5+8hEhERkZwxEBIR0WfduAF3d5w4AQB6epg6FePHQ0Xlozrp/vIBAZDuzqqjAzc3jB+PTz1sT0REROUHAyEREX1CUhJ8fbF2LfLzoa6OSZMwaRK0tD6qy8/H1q2YM+fd/vJaWhg3Du7u+O8GrURERFQ+MRASEdF/iESYNQtLliAjAwoKcHWFry8MDD6qy89HaCj++AP37gGAnh7c3PD77+Aay0RERBUHAyEREb0jkeDvvzFlCp4/B4AOHbBoEZo2/ahOLH4XBe/eBQB9fUyciN9/h6ZmGTdMREREX4mBkIiIACA6Gh4eOHkSAExNMXcunJw+WjkmLw/r1mHOHDx5AgAmJvDzw9Chn3qtkIiIiCoABkIioqouORnTpuGvv969Ljh5Mjw9oa7+3yJpFJw7F3FxAKMgERFRJcFASERUdeXlYcUK+PkhJQUCAQYORGAgTE3/WySRYOdO+Pu/W0FUTw/u7nB1hba2PFomIiIiWWIgJCKqosLC4OGBBw8AoE0bLF6MH374VJGvL65fBwBdXbi7w82NUZCIiKjSYCAkIqpybt+GmxuOHQMAMzMsXIi+fT96XfDIEUyfjosXAaBaNUyYAHd3VKtW9t0SERFR6WEgJCKqQtLS4OuLFSuQmwsVFXh7Y/JkaGj8tygsDLNm4dIlANDVhZcXxo/nCqJERESVEgMhEVFVcfgwnJ3x9CkAdOqE4GA0avTfihMnMG0aIiMBQEcH3t6MgkRERJUbAyERUeX37Bk8PLBjBwBYWGDBAvzyy38rYmIwdSrCwgBATQ1jxsDbGzVqlH2rREREVJYYCImIKrPcXPz5J2bOhEgEZWVMnoypU6Gm9l7Fo0fw88OWLRCLoaICZ2f4+MDYWG4dExERURliICQiqrTCw+HqiocPAaB7dyxZAkvL9w4nJGDWLKxZg5wcKChg2DDMmAFzczk1S0RERHLAQEhEVAk9eQIXFxw4AAC1amHJEjg4vHc4MRHTp2PDBuTkQCiEszOmTEGtWnJqloiIiOSGgZCIqFLJzsbcuZg/HxkZUFaGjw88PaGu/v+H37zB3LlYuhRv3wKAjQ3mzUOzZvLrl4iIiOSJgZCIqPKIisKYMe+2kf/xR6xY8d5e83l5WLsWM2ciPh4Avv0Wc+agRw95tUpERETlgVDeDRARkQykpeH339GmDa5fh64uli9HZOR7aTAsDE2aYMwYxMfDzAzr1uH6daZBIiIi4h1CIqIKb+9euLjg+XMA6N8fwcEwNPz/Y5cvY/JknD4NAMbG8PPD0KFQVZVXq0RERFSuMBASEVVgcXEYNw4REQBQvz5WrUL79v9/LCYGHh44dgwAdHTg74+xY6GsLK9WiYiIqBziI6NERBVSbi78/dGwISIioKICPz9cu/b/aTAhAaNH44cfcOwYVFTg5YWHD+HmxjRIREREH+AdQiKiiufSJTg7v1s8plUrrF6NRo0AANnZWLIEc+YgJQUAHBwQEIAGDeTYKhEREZVnvENIRFSRZGVh6lS0bYvr16GhgQULcOYMGjUCJBJs344GDTB5MlJS0Lw5Tp3C/v1FT4MSiSRFGiOJiIioymAgJCKqMCIj0bQp5sxBbi7s7HDzJiZOhKIicOkS2rZF//54/Bjm5tiyBRcvokOHolxTJBLNmzevVatW6urqenp6ampqbdq0WbBgQUZGRml/HCIiIpI7BkIiogogMxMTJ6JdO9y9C319bNqE8HBYWAAPHsDBAS1a4MIF6Ojgzz/x4AEGDoRAUJTLnjt3rl69ej4+PlFRUVlZWQCysrIuXLgwefLk+vXrR0VFle6nIiIiInljICQiKu+OHkWDBggKglgMZ2c8eAAnJyA5GaNHo2FDHDgARUW4ur5bOUZJqYiXPXHihI2NTXx8vJWV1fr16+Pj41+/fv38+fM1a9ZYWlr++++/HTt2PHv2bKl+NCIiIpIvBkIiovLr9Ws4OuLnn/HkCczNER6OVaugo56DgADUq4fVq5Gbi27dEBOD4GDo6RX9yq9evXJ0dMzJyenbt+/169eHDRtmbGysq6trYmIycuTImJiYnj17Zmdn9+vXLy0trfQ+IBEREckXAyERUTm1bx8aNcKOHRAK4eWFO3dgawucPo3mzeHtjdevUasWQkNx4ADq1y/uxefPn//q1avvvvtu06ZNampqHxzV0NDYsmVL/fr1ExMTg4KCZPSBiIiIqNxhICQiKnfS0jB2LHr3xosXqFUL4eGYNw/qr59h4EB07IgbN6CpiVmzcOcO+vcv4uuC75NIJFu3bgUwc+ZMFRWVT9aoq6vPmDEDwJYtW77y4xAREVG5xX0IiYjKl6NHMXIknj6FQIBx4zBvHrQEIrhNxcqVyMmBsjJ8fDB5MjQ0SjxFfHz806dPVVRUunbtWkiZvb29goJCbGxscnKygYFBiacjIiKicot3CImIyguRCGPHomtXPH2KOnVw6hSWLYPWno2oXx+LFyMnB3Z2iImBv//XpEEAiYmJAKpXr/6524NS6urq+vr6BfVERERU+TAQEhGVC/v3w8oKK1e+e2Pw5k2017uJTp0wdCieP4elJfbvR3g4vvnm6+eqVq0agNTUVIlEUkiZWCx+8+YNAB0dna+flIiIiMohBkIiIjlLSYGjI3r2REIC6tXDuXOY5/tWddY0NG+OkyehrIzJk3H9OhwcZDWjmZmZtra2SCS6evVqIWUXLlzIzs42MDAwMjKS1dRERERUrjAQEhHJ07FjaNr0f0uJXruGls93oUEDzJ6NrCz8/DOuX0dgILS0ZDipsrKyg4MDgDlz5hRSJj3as2dPBQUFGc5ORERE5QcDIRGRfIhEGD363R6DVlY4exbzRsSq9bFD377491/UqoU9e3D4cAm2lCgKHx8fBQWFPXv2BAcHf7Jg/vz5ERERSkpKXl5epdEAERERlQcMhEREcnD7Npo3x+rVkEgwbBgun0hvvc0NDRvi0CFoauLPPxEbi169Sq+Bb7/9dtasWQAmTJgwfPjwp0+fFhx6/Pixk5OTp6cngAULFlhZWZVeG0RERCRf3HaCiCqM1NTUmJiYhIQEY2PjJk2aaGtry7ujkpBIsGQJvL2RmQljY6xeDfvXG9HCB/HxANCvH4KCYGpaBp14e3vn5+dPnz59w4YNISEhDRs2VFVVzczMvHPnjkQiUVBQmDdvnquraxl0QkRERPLCO4REVAFERkZ26tTJwMCgffv2jo6O7dq109fXt7W1LXxNlHIoPh62tnBzQ2Ym+vZFzM579kGdMHQo4uPfrSO6fXvZpEGpqVOnXrhwwcbGRkFB4datW1evXr19+7aCgkLXrl2joqImTZpUZp0QERGRXPAOIRGVaxKJZNasWf7+/mKxWCgUfvvtt6qqqhkZGXfv3j18+PCxY8cCAwM9PDzk3WaRrF6NyZORlgZ9faxcktv3YQA6z0FmJpSU4OoKPz/ZrhxTRC1atDh27FjluPtKRERExcVASETl2rx586ZPnw7gt99+8/f3NzMzk44/fvx4ypQpoaGhEydOVFZWdnFxkWubX/DqFcaMwc6dANCtG9aOijLyGY67dwGgQwcsXYpGjeTboY6OTrt27eTbAxEREZU9PjJKROVXTEzMtGnTACxdunTt2rUFaRCApaXl1q1bpfsiTJw48dGjR3Lr8ksiItCoEXbuhLo6Vi3KOGDibNSnNe7eRfXq2LgRJ0/KPQ0SERFRlcVASETl15w5c8RisaOj4/jx4z9Z4OPjY2trm5OTExAQUMa9FUVGBkaPRvfuSEhA06a47LnDeUZNwV9rIBTC1RWxsfj1VwgE8m6TiIiIqi4GQiIqp3Jycg4ePAjA29u7kDIfHx8Ae/fuFYvFZdRZ0dy7h/btsXo1AIwbmHJOo2tDf0ekpqJZM1y6hOBgVKsm7x6JiIioqmMgJKJy6smTJ+np6To6Ok2bNi2krE2bNkpKSklJSUlJSWXW2xdt2IBmzXD1KowMJQcHbV62x0T93JF3GwxGRuKHH+TdIBERERHAQEhE5VZqaiqAal+6jaagoCBdElNaL3evXqFXLwwfDpEIjl1S7hr/ZLd5MLKy8NNPuHoVbm5QLKereeXm5qakpOTl5cm7ESIiIio7DIREVE7VqFEDQGJiYk5OTiFlIpEoJSUFgKGhYRl19nlnzqBpU+zbB3V1hNiFbjtZo1r0aRgYYMMGHD+Ob76Rd4OfkJqaOnv27MaNGysrK+vp6SkpKX3//feBgYEZGRnybo2IiIhKHQMhEZVT5ubmNWvWzMrKOnr0aCFlYWFhYrG4fv36urq6Zdbbx3Jz4e2NTp3w779oXPvtZQO7IREDkZeHoUNx9y6GDi2fi8ccP368Tp0606ZNu3nzZsHg9evXvby86tevHxUVJcfeiIiIqAyU0yeXiIgEAsGgQYPmz58/bdq0zp07q6iofFzz9u1bPz8/AE5OTmXe4P88foxBgyBNT65WEQGxfVSRhfr1sWYN2raVY2OFO3HiRLdu3XJycqysrMaNG1ejRg0lJaWcnJzExMS1a9fevn27Y8eOR48e5f6ERERElRgDIRGVX97e3iEhIdHR0UOGDAkJCVFVVX3/qEgkGjRoUGxsrLm5ubu7u7ya3LYNo0fjzRvoaWSvETj3id0IZWX4+MHbG/9tuFxJTk52dHTMycmxsbHJy8ubOHFiwTKtQqHwp59+MjQ0PHnyZL9+/e7evaujoyPfbomIiKiU8JFRIiq/9PT0tm7dqqSktH379u+++y4kJOTFixcpKSnPnz9fs2ZN48aNw8LC1NTUduzYoaGhUfbt5eZi4kQMHIg3b2Bd7UHU28Z9RBvRrBkuX4a/f3lOgwDmzJnz6tWrmjVrnjx58vTp0xKJpFGjRp07d27YsKFEIjl+/PiZM2eMjY0TExMDAwPl3SwRERGVFgZCIirXOnXqdOzYMRMTk/v37w8bNszExERPT8/U1NTZ2TkuLq5WrVqnTp368ccfy76xp0/Rvj2CggDAQ3nphTffWmnEv9tVokmTsu+nWCQSybZt2wA8f/5cLBYPHz48Li4uJibm6NGjt27devjw4aBBg/Lz81+8eAFg69at8u6XiIiISgsDIRGVd+3bt3/w4MGSJUvatm0rfZNQVVW1Y8eOq1atunfvnlzS4MGD+OEHREVBV0m0V9JzYc7vyj9+j8jI8ryrxPuePXsWHx8v/Xnp0qXr1q0zNzcvOGppabl58+aFCxdK/xkXF/fy5Us5dElERESlrwJ8cSEiUlNTc3FxcXFxkUgkqampclxQNCcHv/+O1asBoK1CZGhuv5rqKZgVBFdXKCjIq6viKgh4gwYNGj9+/CdrPDw8zp07t2fPHgBJSUnVq1cvu/6IiIiorPAOIRFVJAKBQI5p8NEjtG6N1ashhNgPM07mt69pUx+3b8PdvQKlQQBqamrSHwpfjGfChAnSHzQ1NUu9JyIiIpIH3iEkIiqSnTsxYgTS0qAnSAmRDLHXPIWFyzBqVPncYLBwQuG7vwbm5uYWUpaXl1cm7RAREZHc8A4hEdEX5OTAzQ2OjkhLQ2tciJZ8Z99RhBs34OxcEdMggLdv30p/CAgIKKSs4KhIJCr1noiIiEgeGAiJiAqTkAA7OyxeDIkEo7HquEYPs1XTcOIELC3l3VrJ1ahRQ/rDvn37/vjjj48LJBLJ9OnTjxw5Iv2noaFh2TVHREREZYiBkIjos86fh3VT8YkT0IRoM5xW/rBaNfJkxb0xWKBmzZoFy4pOnz69V69eN27cKDh67do1e3v7gqBoZWVlYGAghy6JiIio9DEQEhF92pIl+KmjJD5B2AB3Liu2GuT/DaKi0LixvPuSAYFA4OTkBMDExERJSWnfvn3fffedqalps2bNTExMfvjhh/DwcGVlZemNQWklERERVUpcVIaI6EOpqRgyWBx2UAgIfsO6ZQ2Wqm7eiKZN5d2XLHl6em7YsCE+Pr59+/a6urqHDh16/vz58+fPAaiqqnbr1i0pKencuXOmpqYTJ06Ud7NERERUWhgIiYj+4+ZN/NIt8/6/asrIWSJ0c/Y1xNSLUFKSd18ypqOjs3v3bhsbmzNnzlhaWvr5+VlaWqqqqmZmZj569Gj16tVPnz5VVVXdsWMH95wgIiKqxBgIiYj+Z/vW/BHD8kU5aiaI317Tvc2OCWjVSt5NlZaWLVueOHGib9++jx8/njJlygdH69evv2XLlqaV674oERERfYDvEBIRAUBuLkb3T+0/SEGUo2yD49FDgtrcXlOJ06BUixYt7t+/v3Tp0nbt2knvBGppaXXs2HH16tU3btxgGiQiIqr0eIeQiAgJLyT928WfeVhTAImn6uJZG0wV+y+Qd1NlRE1Nbfz48ePHj5d3I0RERCQHDIREVNVdO5naxz4nLqOmGjKXWy0adnhghd5jkIiIiKjo+MgoEVVpob632tqoxGXUqC14fG7clmF3vJgGiYiIqOrgHUIiqqJyM/Nc2lxbfa05gF+19q4ON1VtO0LeTRERERGVKQZCIqqKkiIf9vv5zRlRcyHEc9oc9DzSVaCuJu+miIiIiMoaHxkloirn6tTdzdqonBH9oCN4c2BalNc5B6ZBIiIiqpp4h5CIqpLU1J3d1g2LHP0WGg3Un+yLULZq31rePRERERHJDQMhEVUV4vORU7pfD3zjLoGgZ+NHf5+10KrGpySIiIioSuOXISKqEt7MX+3Q/k3AmzEA/IbG7blem2mQiIiIiHcIiahiSE1NDQsLi46OFolEWlpa1tbW3bt319bW/vKZb948HejVI2LsdXynIsxdGZw9zMWi1NslIiIiqggYCImovMvOzvbz81u6dOnbt2/fH9fS0vLw8Jg6daqSktJnT7527VKPWT2fLUuAkZF2xp7D6i1bfr6YiIiIqIphICSici09Pd3e3v7MmTMAGjZs2LVrV0NDw/j4+IiIiNjY2BkzZkRFRe3du1dVVfXDMyUSBAaGTL3vnL81B8rNG2XuO6JubCyHj0BERERUbjEQElG5NmTIkDNnzujq6oaEhDg4OBSM//nnn9u3bx85cuThw4ednZ03btz4n9NSUsRDh7uHdVqMtQAG9ctdu1Ht48xIREREVMVxTQUiKr927ty5d+9eDQ2No0ePvp8GAQgEgv79+0dERKioqPz9999Hjhz537GoqIzvWjmG/boYrgD8/LBpmxLTIBEREdHHGAiJqPxatGgRgClTplhbWwOQSCRJSUmPHj16+fKlRCIB0LZt2wkTJhRUAkBw8LMOTm3+Dd2FX1SVxVu3wt8fAoHcPgIRERFRecZASETlVGpqalRUlFAoHDFiRHJy8qRJk8zNzQ0NDevUqVOjRg1LS8spU6akpKSMGjUKwMmTJ7NTUjB8+NUJf7fMORON72sYiI+fFA4YIO+PQURERFSOMRASUTn19OlTsVhsaGh4+fJlKyurhQsXPnv2TCgU6urqCgSCJ0+ezJ0795tvvomLi9PU1DTPzha0bLlvQ0pHnHqOmg0aIPKisHVreX8GIiIiovKNgZCIyimxWAwgOzu7Z8+eqamp1tbW+/bte/v27evXr0Ui0Y4dOxo1apScnGxra2uXm3sZWHvfpi92iqDZti3OnEHt2vKuV+ZDAAAgAElEQVT+AERERETlHgMhEZVTZmZmAoHg9evXYrHY2dk5KiqqR48e0u0l1NXV+/bte+XKlSEDBy7Ly9uWnTMbgeOwPA+KQ4fi2DEYGMi7eyIiIqKKoFS2nUhNTX3w4MGbN2+ysrKkCz98kr29fWnMTkSVg76+fvXq1ZOSkurUqbNixQqh8MM/YKm8fr3h338zod4bW/ahp5ISVq7Eb7/JpVkiIiKiCkmWgTAlJSUoKGj79u33798vSn0hWZGIKD8/PzMzE0BiYuKjR4/q1q37n8MXLqBfv6T4/G449Q+aCwTpYWGaXbtyOVEiIiKiYpBZILx69aqdnd3Lly+l/5Qu/KCmpqagoCCrKYioSnn69Gl6erpQKBSJRDY2Ntu2bWvZsuW7YwEBmDbtbl7dLoKIZxIL4JlE0t3a+jjAR0WJiIiIikE2gfDNmzfdunV7+fKlvr6+u7t7jx496tWrp6ysLJOLE1HVlJycDMDExERbW/v27dutW7fu1q2bfadO3fbuNT979jQ6dMeetxJdNbX7Kip9UlNvvXz50oDvDhIREREVh2wC4ZIlS5KSkszMzM6dO2dubi6TaxJRFaerqwvgzZs3N2/e9PDw2LBhw42DB/0OHjQHNmPQMKzLg0rNmvcvXDCqU+ceAH19fXm3XCFJJJLDhw+HhoZeu3ZNJBJpaWlZW1sPGDCgS5cu8m6NiIiISp1sAuGBAwcATJ8+nWmQiGSlVq1aOjo6qampMTExa9eu9e3UqfqYMRoi0RThzHniaRIIevZM3779m+PHI/Ly8kxMTKpXry7vliue2NhYJyeny5cvvz94/fr1devWtWrVatOmTbW5fQcREVGlJpttJx4+fAjAxsZGJlcjIgKgpKTUs2dPALNnz5b89ZfFb7+piTI8DDfPFftKIPDwwO7dWoqK4tmzZwP45ZdfBAKuKFM8N27caNGixeXLl3V1dX18fA4ePHjlypWzZ8/6+Phoa2tHRkb++OOPd+7ckXebREREVIpkc4cwJSUFgKGhoUyuRkQkNX369D3btv1y6JDg0KEsqA62uLQrzlpBAX/+CRcXSCQSV1e38+fPa2lp+fj4yLvZCiYjI6NXr14pKSnW1tYHDx58/xd427Ztx48f361btxs3bvTq1evGjRsqKipybJWIiIhKj2zuECopKQH4eJcwIqKvUVtd/YGZ2UjgJXQaqZ/ZFWetqoodOzB2bP6JEyd+/vnnpUuXAlizZo2xsbG8m61gFi9e/PjxYwsLi0OHDn3857yaNWseOXKkZs2a9+/fX7FihVw6JCIiojIgmwinqakJQCQSyeRqREQAcOUKmjWrHht7X6OhhSDqYUZz4KVQ2HHSpDrVqlWzsbE5duyYpqbmpk2b+vfvL+9eK56QkBAAf/zxx+eWZjU0NPT39y+oJCIiokpJNoHQzMwMwLNnz2RyNSIibNqEdu3w/Hl03b4dNW5kSOppaydpaf2ckXH60aNHb9++1dPTGzNmzL1795ycnOTda8WTmJh49+5dJSWl3r17F1LWt29foVAYHR2dmppaZr0RERFRWZLNO4T16tW7du3alStX6tevX/SzVFVVZTI7EVUqYjGmTEFgICSS0+2m9boxM/WNoGlThIfX0NO7+PjxY+nWCJaWltKH1akEXrx4AaBGjRoaGhqFlOno6Ojp6SUnJ8fHx+vo6JRVd0RERFR2ZBMImzdvHhoaOmrUqFGjRhX9LIlEIpPZiajyyMjA8OHYvh3A9u4hQ44Nyc7Gzz9j1y68efN85cpd0dHRBXvl9enTx8jISN4dV0jq6uoA3r59+8XKjIwMAIXnRiIiIqq4ZBMI27VrJ5PrEFGVFh+Pnj1x5QpUVJY7nnLd0jI/HwMGYNWqLH//aUuWLMnJySmoXbdu3aRJk9zd3f38/JSVleXYdUVkZmampqaWmpp6586dBg0afK4sOjo6IyNDS0vLxMSkLNsjIiKiMiObQGhtbR0bGyuTSxFRFRUdDQcHPHsmMaju0/WfgL9NAUycCB+f150720p3Tm/durWtra2hoWF8fLx007w5c+acPXv24MGDWlpa8v4AFYmamlqXLl3279//559/rlq16nNlQUFBAOzs7Ph0LhERUWUlm0AoFArr1q0rk0sRUVW0eTNGjEB2tviHZq5NTi3boAHA1xf+/pKuXftfvny5Ro0aISEhtra2BWf4+/vv3r175MiRZ8+eHTp06O7du+XXfYXk6em5f//+v/76y9bW9pNLy2zfvn3Tpk0CgcDT07Ps2yMiIqKywZ0DiUiuJBL4++PXX5GdnevQZ3CdyGUbNBQUsHw5Zs7E9u3bpHtLHD9+/P00KNWnT5/Dhw+rqKjs2bMnPDxcLu1XXG3atHFxcRGLxY6Ojn/88UdmZmbBobdv3/r6+g4aNEgikUyaNMna2lqOfRIREVGpYiAkIvnJzMTAgZgxAxJJ5sRpvfN3bt2hqKyMzZsxdiwABAcHA/Dx8WnUqBEAiUSSlJT06NGjly9fSlelat68+YQJEwoqqVgWLVr022+/5eXlTZ8+3cjIqGfPnqNHj3ZwcDA2Np41a1Z+fv7YsWPnzZsn7zaJiIioFDEQEpGcJCbCxgbbtkFJKXnR3x3O/HEwXKCtjcOHId1n/vXr1xcvXhQKhSNGjIiPj/fw8DA3Nzc0NKxTp06NGjUsLS29vb2TkpKkixufPHkyKytLzp+oolFUVFy7du3WrVstLS3T0tL279+/evXqAwcOpKenW1lZ7dy5c/ny5UIh/zNBRERUmZXkHcK9e/feunXLycnJwsJCOlKy72Hch5Co6rp1Cw4OePwYOjrPV4b9PLPt7dswMEBEBJo1e1fy7NkziURiZGR07NixUaNGSZ9p1NDQUFZWzs7OfvLkSUBAwPLlyzds2KCpqSkSieLj42vXri3PD1UxDRgwoH///jExMdeuXUtISDA2Nv7hhx+kt2SJiIio0it2IDx58qR0+YHNmzffvn1bOqimplaCubkPIVEVdeoU+vbFq1cwN3+w7PDPrvUfP0bNmjh6FO/vgCAWiwFkZWUNHjwYQKdOnfz9/du0aSMUCvPz80+dOuXr6xsZGdm3b1/pryD+SikxgUDQpEmTJk2ayLsRIiIiKmvFfhZIJBJJf0hLS5N1M0RUBWzZgq5d8eoVWrSI2XC13aj6jx+jbl2cO4cP9sMzMzMTCAQpKSkAJk6ceOzYsXbt2kmfYFRQULCxsTl79uyYMWMkEklGRoaSklLNmjXl8oGIiIiIKq5i3yG0t7efP3/+rVu3xowZUzDITQiJqEgCA+HtDYkEPXtGuW/r1lslJQVNmuDwYRgZfVirr69vYGDw8uVLKyur+fPnCwSCDwoUFBSWLFkSFhb2/PlzY2NjPoVOREREVFzFDoQCgWDSpEkfDHITQiL6gtxcODtjwwYA8PM71savt71AJEKrVjh4ELq6nzgjPz9f+t7gixcvHj58+MnfMzExMcnJyQAyMzMlEsnHoZGIiIiICsHl44io9KWno3t3bNgARUWsWXOqo3+v3gKRCG3aIDz802kQwJMnT0QikYKCgkgksrGxOX/+/AcFR44c6dKlS3Z2tkAgePnypTQZEhEREVHRlWSVUSKiYkhMhL09rlyBujq2bDmh1bOHPd6+Rdeu2L0b6uqfPe/Vq1cATExMqlev/s8//7Rt27ZNmzZdu3Y1NDSMj48PDw+/fPkygObNmz98+PD169fJycnVq1cvs49FREREVAkwEBJRabp3D3Z2ePwYNWogLOzQ6x/72CMzEz16YMcOKCsXdqqenh6A169f37x5c/LkyevXrz9//vz79wlVVVU9PDy8vLyklQYGBqX8YYiIiIgqG9kHwhcvXjx48CA9PV26ZPzntGrVSl9fX+azE1E5cv48evTA69f45htERGy6UHvYMOTnY+hQrF0LBYUvnF2rVi19ff1Xr15dv3591apVvr6+u3fvjo6OFolEWlpa1tbWffr0MTIyOnjwYH5+vrm5OQMhERERUXHJMhBu2bJl7ty5N2/eLErxqlWrnJ2dZTg7EZUvO3fi11+RlYU2bbBvX8gB/REjkJ+PceOwdCmKsviLoqJinz591qxZ4+fnd+zYMVNTU1dX1w9q8vLyZsyYAaBfv35cUYaIiIiouGS2qIyXl5eTk5M0Daqqqpqamkof4qpWrVqt/zI0NAQQExMjq6mJqNwJCcGgQcjKQteuiIhYt0//t9+Qnw9X16KmQakpU6aoqqqePHly8uTJH+87n5+f//vvv1++fFlLS2vy5Mky/ghEREREVYBsAuHZs2cDAwMBjB079vHjx5mZmf/++6+TkxOANWvWxP3XkSNHANy7d08mUxNRuRMUhOHDkZuL4cNx4MDi9VojR0IshocH/vyzGGkQgIWFxcqVKwEEBQV17tz57Nmz0mfR8/Pzjx8/3q5du5UrVwqFwpCQEOlfmoiIiIioWGTzyOiKFSsAjB49evny5QWD165dA9CiRYsPis3MzAA8efJEJlMTUTkiFsPNDUuXAsC8efDyCgrCpEmQSDB9OmbMKMklhw4dqqioOGrUqBMnTpw4cUJDQ0NZWTk7OzsjIwOApqbmxo0be/fuLdOPQURERFRVyOYOoXTdPzc3t/cHnz17BsDIyOiDYh0dHYFAwB3DiCqb3FwMGYKlSyEUYulSeHnNnImJEyGRYN68EqZBKScnpzt37owYMaJGjRpv375NSUnJyMgwNjYeO3bsvXv3mAaJiIiISkw2dwgTExMFAsE333zz/mBeXh4AofDDzCkQCBQVFUUikUymJqJyITMTjo44cABKStiwAYMGeXsjIAAAAgPx9e/31apV66+//pJIJPHx8QkJCcbGxsbGxlxFhoiIiOgrySYQ5ufnC4VChf+uIq+trQ0gNTX1g7Xg09PTc3NzVVRUZDI1Ecnfq1fo3h0XL0JdHdu3o3v3mTPfpcF582SQBgsIBIKaNWvWrFlTZlckIiIiqtpk88hotWrV8vPzs7Oz3x+0tLQE8PEuFI8ePQJQvXp1mUxNRHL2/Dk6dMDFi9DXx4kT0jTo5wcAQUHw8pJ3e0RERET0ebIJhNLs9/Dhw/cH27RpA0C6QuD71q1bB8Da2lomUxfu7t27gi9JTU394Ky4uLhRo0aZm5urqqqamZmNGDFCGmI/qVjFRJXNgwdo1w63bqFmTZw+jRYtJk+Gnx8EAqxeDXd3ebdHRERERIWSzSOjP/7445UrV06dOtWwYcOCwYEDB/r5+W3btq1Ro0aTJ09WUVHJz88PCQmRrkQ6cOBAmUxdOF1d3dGjR3/u6ObNmwUCwQcPr0ZGRtra2qalpf300092dnYPHjxYt27djh07wsPD27Zt+8EVilVMVNlcvw5bWyQkwMoKR47AwsLTEwsWQCDAqlUYNUre7RERERHRl8gmEI4fP97a2lp6S7CAhYWFj4/PzJkzfX19AwICjI2NExMT09LSAHTq1MnR0VEmUxfO0NDw41uUUkFBQSKRKDQ0VE1NrWAwPT29T58+WVlZBw8e7Natm3QwIiKid+/evXv3vn//vq6ubsmKiSqbO3fepcEGDXD4MMzMPD0xfz4EAqxcyTRIREREVDHI5pHRhg0b/vbbb/Xq1ftg3N/ff+bMmSoqKiKRKDY2Ni0tTSgUDh06dN++ffJdHjAmJsbb29vR0bF///7vjwcHByckJEyaNKkg4AGws7Pz8vJKTk5euHBhiYuJKpUbN9CxIxIS0KwZzpyBmZmX1//SoLOzvNsjIiIioqKRTSD8HIFA4Ovrm5CQsH///rVr1+7evfv58+cbNmzQ1NQs1XkLJ5FIRo0apaamtnjx4g8ObdmyRSgUuri4fDDu4uKipKS0efPmEhcTVR4XLqB9eyQlwcYGp07BwMDLC4GBEAiwaBHTIBEREVFFIptHRguno6Pj4OBQBhMV0bZt2y5evBgQEGBoaPj+eGJi4p07d5o0aWJsbPzBKdWrV7e2to6Kinr06FHt2rWLW0xUeRw7hl698PYtunbF7t1QV/f3/18adHOTd3tEREREVBxlEQjLlfz8fF9fXxMTE7ePvrrevn0bwPvr4ryvUaNGUVFRd+7ckWa8YhVT1SEWiyMjI6Ojo0UikZaWVrNmzZo3b1559k/fvx+OjsjORu/eCA2FsvKMGZgxAwCCgpgGiYiIiCqeKhcId+zY8eDBgwULFnywuCiA+Ph4AAYGBp88UV9fv6CmuMVFd/ny5bi4uCIWx8TEAMjLyyvuLFRKNm/ePHXq1CdPnrw/+M033wQEBPTq1UteXcnM7t0YOBA5ORg8GBs2QEEhMBD+/gAwezYmTJBzd0RERERfSfq9OiYmZseOHUU8xcLConnz5qXZVKkrSSDMzs5etWpV//79P3jk8n2RkZHBwcGFXMTR0bFPnz4lmP0rLViwQFtb+5N7Ubx9+xaAnp7eJ0+UjotEohIUF9HDhw9btGghkUiKdVZ0dHSx6qk05Obmjhw5cuPGjQB0dHQ6dOhgaGj4/Pnz06dP379/v3fv3i4uLsHBwUJh6b61W4o2bsRvvyE/H8OHY80aKCgUbDo/axamTJF3e0RERERfTfq9evPmzUVfDUQgEMTGxtapU6c0+ypdJQmE69evd3NzW7hw4YMHD5SUlD5Z8+TJk23bthVykeTk5LIPhFevXr169ero0aMLWdXmc0/3Scc/SGvFKv4iU1PTQYMGJSYmFrE+Li7uwYMHZmZmxZqFSoOrq+vGjRuVlJRmzJjh7u6uqqoqHReJRHPmzAkICFi6dKm2tvbs2bPl22cJrVsHZ2fk5+P33xEcDIFg1SpMmgQA/v6YOlXe7RERERHJgpmZWUxMTN26dS0sLIp4iqGhoampaWk2VepKEgjXrFkDYOLEiZ9LgwDq1KkzYsSITx7Kz8/fsGHDhQsXcnNzC7lCaVi/fj2AzzWmoaEB4NWrV588Kh3X0tIqQXERqaiobNq0qej1AQEB3t7ehdynpbJx+vTplStXCoXC3bt329vbv39IU1Nzzpw5DRs2/PXXX+fNm9e/f/8mTZrIq88SWrwYEyZAIoG7OxYuhECwciXGjYNEgunT4ecn7/aIiIiIZET6vXrkyJFe0uegqoZiB8KkpKR//vlHKBQOGDCgkLLmzZsX8jTt2bNnHz58eP/+/W+//ba4DZSYWCzevn17IY/5StcLff369SePSscL1hQtVjFVbvPmzQMwbty4D9JggcGDB0dERGzZsiUgIKCC7UeybNkHaXDTJowfD4kE3t7vlpMhIiIiooqr2G80Xbx4EYCVlVWNGjVKPKt0cc67d++W+AolEBkZ+fLly969e3+uQNqVdPnQj926dQvvLStarGKqxNLT048fPw5gQqHLqkiPHjhwoCItArRkCX7/HRIJpkxBUBAEgm3bMGwYxGJMnIi5c+XdHhERERF9tWIHwufPn+Oro470QduivywnE+Hh4QBsbW0/V2BkZFS/fv2YmJiPG3v16tWVK1csLCwKtpEoVjFVYk+fPs3Nza1Ro0bhLxM3a9ZMWVk5LS2tjP9nX3JLl8LNDRIJpk7F7NkADhzAr78iPx+jR2P+fHm3R0RERESyUOxAmJqaCkBXV/drZlVXV8f/L9RZZs6ePSsUClu2bFlIjZOTU35+/rJlyz4YX7p0aU5OzqBBg0pcTJVVRkYGADU1tcLLBAKBtEZaX97Nnfvu3mBgIGbNAnDyJBwdkZuLwYOxfDkqzcaKRERERFVcsQOhgoICPr+6ZhFlZWUByM3N/ZqLFEteXt6VK1caNGigra1dSJmrq6uRkVFgYGBERETB4KFDh+bOnWtgYDBJuq5iiYqpspK+KZqQkJCZmVlIWXJy8ps3bwQCgYmJSVm1VlJz577bRyIgAJMnAzh7Fvb2yMzEgAHYsAEVd+8MIiIiIvpAsb/ZGRkZAXjx4sXXzCp9au5r3kIsrri4uMzMzC/uEKKtrb1nzx5VVdVu3brZ2NiMGTPGxsbGzs5OWVl59+7dH9wXLVYxVVampqZ16tTJzs7et29fIWXbt28H0KxZM+n6tOXXvHn/S4OengCuXIGDAzIy4OCAjRuhoCDnBomIiIhIhoodCBs0aAAgKioqPz+/xLNeunQJgLm5eYmvUFxxcXFFnLFly5bR0dEjR46MjY1dv379vXv3hg8fHh0d3a5du68spspq+PDhAKZOnfq5VWdfvHgxc+bMgsrya948+PgAgL+/NA3euwd7e7x5gw4dEBqKst0mhoiIiIhKXbG3nbC2tjY2Nn7x4sWhQ4e6d+9egikvXbr09OlTNTW1tm3bluD0kuncuXPRt4m3sLCQ7rUo82KqlNzd3UNCQmJjY+3s7MLCwj649f306VN7e/vExMTvv/9+1KhR8mryywIC3qVBPz/p9oJxcejcGYmJaNkSYWFQV5dzg0REREQkc8W+QygQCIYMGQLA29u7ZAvoe3p6Aujevbs6v2BSpaCurr5v377q1atfunTJysrKzc0tPDz86tWr+/fvHzNmTIMGDWJiYgwNDXfu3KmoWOw/wZSR4OD/pUF/fwCJifj5Zzx7hiZNEBEBLS359kdEREREpaIkq0N4e3vr6endvHlzxIgRRb/tJjVz5szTp08rKCjM4J7WVIk0aNDgwoUL1tbWaWlpixcv7t69e7NmzXr27Llq1aqMjAw7O7t//vnni6+wys3ixXB3h0SC6dOlafDVK9jYIDYWDRrg+HHo6Mi7QyIiIiIqHSW5X6Gjo7N69ep+/fpt3LjxzZs3q1evLsryMBkZGdOmTVu0aBEALy8vbtpOlUzdunUvX74cHh6+bdu269evi0QiLS2tZs2aOTk5/fTTT/Lu7vPWrMGECZBIMGkSZswAIBKhWzfcuoVatXDkCAwM5N0hEREREZWaEj7A9ssvvyxcuHDixIn79u07c+aMs7Pz6NGjLS0tP1mclJS0ZcuW4OBg6cougwcPnjVrVok7Jiq3BAJB9+7dS/ZurXxs3owxYyCRwMNDutl8djZ69sSlSzA0xNGjMDWVd4dEREREVJpK/kaTu7t73bp1hw4dmpKSEhAQEBAQUKtWrRYtWhgZGenq6goEgrS0tBcvXly7du3+/ftisRiAkpLSzJkzPT09v3IbQyKSga1bMWQIxGJMmiRNg3l5GDAAJ05ARweHD8PKSt4dEhEREVEp+6olLhwcHO7evbto0aLly5enpaU9efLkyZMnn6xUVlbu37+/p6dno0aNvmZGIpKNsDAMHQqxGM7OCAwEIJFg5Ejs3QtVVezZg+++k3eHRERERFT6vnbNwxo1asydO3fq1KmnTp06ceLEtWvXkpOTX716JZFIdHV19fX1mzRp0q5du06dOpXlNvREVJiICPTti9xcDByIFSsgEADw8UFICBQVsX07OnaUd4dEREREVCZkswi+pqamvb29vb29TK5GRKXozBn07YucHDg4ICQEQiGAwEAEBEAoxPr1cHCQd4dEREREVFZKsu0EEVVUV67AwQEZGbCzw86dUFICsGYNvL0BIDgYgwfLuUEiIiIiKksMhERVxq1bsLNDWhrat8fOnVBWBhAWhvHj3+064eIi7w6JiIiIqGwxEBJVDffuoVMnJCejWTOEhUFdHUBkJAYMQG4uhg+XrixDRERERFULAyFRFRAXhy5dkJSEb79FRAS0tQFcvw5bW2Rk4Jdf8Ndf4F4wRERERFUQAyFRZZecDHt7/PsvatVCRAQMDAA8fYpu3ZCWhrZt8fff0pVliIiIiKjK4ddAokpNJEL37rh1CyYmOHYMZmYAUlJgZ4f4eDRogH37oKYm7yaJiIiISE5ks+0EEZVHWVlwcMClSzA2xrlzsLSUjvXqhdu3YWaGI0egpyfvJomIiIhIfniHkKiSys/HgAE4dQq6ujh8WJoG8/PRvz/OnIGODsLDYWoq7yaJiIiISK4YCIkqqfHjsW8fVFWxZw8aN5aOubhg/36oqGDPHjRqJN/+iIiIiEj+GAiJKiN/f6xaBUVFbNuGDh2kY4GBWLkSQiFCQtCxo1zbIyIiIqLygYGQqNJZvBgzZgDAsmXo0UM6FhICb28ACAxE//7y642IiIiIyhMGQqLKZccOuLsDwIwZcHaWjh0+jFGjIJHAwwMTJ8qzOyIiIiIqVxgIiSqRI0cweDDEYri5Yfp06djNmxgwALm56N0bgYHy7Y+IiIiIyhcGQqLK4p9/0LcvcnLg6IigIOnYixewt0dqKjp0wObNUFCQb4tEREREVL4wEBJVCvfvw9YW6eno2hV//w2hEMCbN+jSBU+e4PvvceAAN6AnIiIiog9xY3oiWbp9+/aOHTsuX76ckJBgbGzcqlUrR0fHunXrlu6saWno2xcvX6JxY4SGQlkZQF4eBgzArVswM8PBg9DULN0WiIiIiKgiYiAkko2XL1+OGzdu165dEomkYPDAgQPTp093cnIKDg7W0dEplYlzc9GvH2JiYGaGQ4fw/7OMHYtDh1CtGsLDYWJSKjMTERERUUXHQEgkA3FxcR07dnzy5ImSktKAAQN+/vlnFRWVjIyMgwcP7tq1a+PGjRcvXjx9+rShoaGMJ5ZIMGQIjhyBri6OHClIfgsX4q+/oKiI0FBuQE9EREREn8VASPS1cnJyevbs+eTJkwYNGuzatatBgwYFh4YOHXrlypV+/frdu3evb9++p0+fFgpl+uLu9OkIDYWKCvbuRf360rHdu+HpCQDLl8PWVpazEREREVElw0VliL7W6tWrb9y4YWhoePTo0ffToFSzZs2OHDmira197ty50NBQWU68YgVmzYJAgA0b0L69dCwq6t3GEx4eGDVKlrMRERERUeXDQEj0tVavXg1gxowZNWvW/GSBlZWVt7d3QaVsHD4MNzcA8PPDgAHSsYcP4eCAzEz07o3582U2FRERERFVVgyERF8lMTExJiZG+upgIWW//vorgPPnz2dlZclg1uho9HhoZ3AAACAASURBVOuH3FwMHVqwAX1KChwckJyMli2xeTNk+2gqEREREVVK/M5I9FWePXsGwNjYuFq1aoWUmZqaamlp5eXlxcfHf+2U//6L7t2Rno7OnbFmDQQCADk56N0bd+6gVi3s2cMtB4mIiIioSBgIib6KkpISgNzc3C9WSmuk9SWXmgo7O8THo3Fj7NqF/7/ahAk4fRqamti7F0ZGXzUDEREREVUdDIREX8Xc3FxBQSEhIaHwW3+3bt3KyspSV1c3+pq4lpODPn1w6xaMjLB/P7S1pcOLF2PFCigoIDQU339f8ssTERERUVXDQEj0VXR0dFq3bi2RSFatWlVI2YoVKwB06dLlq+4Qjh2LkyehoYEDB2BhIR3bvx/u7gAQHIzu3Ut+bSIiIiKqghgIib6Wu7s7gMDAwMuXL3+y4OTJk9K4KK0soaVLsW4dhEKsWwdra+lYTMy7TSbGjcP48SW/NhERERFVTQyERF+rV69eDg4OWVlZXbp0CQ0NlUgkBYfEYvFff/1lb2+fl5c3dOjQDh06lHCOEyfg4QEAs2fD0VE6lpSEHj2Qng4bGwQHf+2nICIiIqIqSFHeDRBVeAKBYPPmzT179jx58uTAgQP/+OOPLl26qKqqZmRkREREPHjwAECPHj0Kf6a0MLduoXdv5OZi1Ch4e0vHsrPRpw/i4mBlhe3bocj/KxMRERFR8fFbJJEMaGlpHTlyZO7cuQEBAbdv3759+3bBIR0dHV9f3wkTJghLtjNgcjJ69EBaGjp0wLJlBcOjR+P8eejoICwMenpf/wmIiIiIqCpiICSSDUVFRV9fX1dX1+PHj0dHRycmJhobG1tbW//000+ampolvGheHgYOxKNHqF37/U0mgoIQEgJFRWzfjnr1ZPYRiIiIiKiqYSAkkqVq1ar16dOnT58+srmchweOHYOmJnbvhr6+dOzAAUyeDAALF6JLF9nMQ0RERERVExeVISqvVq7EkiUQCvH33/juO+nYzZsYNAhiMcaMgaurfPsjIiIiogqPgZCoXDp58l3gmzEDvXpJx16+hIMD0tPRqRMWL5Znd0RERP/H3p2G13S2bRw/d0YhYk7ErIYaqpTStFVU0SilqJpKxFQENZYaqxLzFGPVPE81VykdJNXyetCgGlM1okFIPJqEzHu/H7bmCUIlsrNJ/r9Peq9r3etax8Fx7LNrrfsGkD0QCIGnz4ULattWiYnq2FGjRpnHEhLuLitavrw2b9aT7G8PAAAAmBEIgafM33+rRQtFRqpOHS1dKoPBPDxkiA4elLOztmxhWVEAAABkDgIh8DRJTlaHDgoOVokS2r5duXKZh5ct07x5srXV+vV68UXrtggAAIDsg0AIPE1Gj9aePcqdWzt2yN3dPBYQoN69JWnGDDVvbs3uAAAAkM0QCIGnxubNmjJFkubOVc2a5rG//lK7dkpMVLdu+vhja3YHAACA7IdACDwdfv9d3brJZNKwYerWzTwWG6sWLRQertq1NX++dfsDAABANkQgBJ4CkZFq1kwxMWrd+u5DQknSRx/p11/l6qqvvkr5nBAAAADINARCwNrMC8mEhKhSJa1YkbKs6Ny5Wr1a9vbaskWlSlm3RQAAAGRPBELA2iZM0P79ypNHmzYpb17z2I8/avBgSZo6VXXrWrM7AAAAZGMEQsCqvv5aEyZI0pIlqlbNPPbnn2rbVklJ8vbWwIHW7A4AAADZG4EQsJ4LF9S5s4xGDRyo9u3NY3fuqHVrRUbq5Ze1YIF1+wMAAEA2RyAErOT2bbVurVu3VL++pk1LGe7VS0FBKlJEW7awkAwAAAAsi0AIWEnPnjp1SiVKaONG2dmZx2bO1Nq1srPTxo0sJAMAAACLIxAC1uDvr/Xr5eiozZvl5mYeCwzUiBGSNGGC3nzTmt0BAAAghyAQAlkuIEBDh0rSzJny8DCPXb2qdu2UmKj27TV8uDW7AwAAQM5BIASyVliY2rVTUpK6dVPfvuaxhAS1aqVr1/Tyy6l3IgQAAAAsi0AIZKGkJHXqpPBwvfCC5sxJGR46VP/3fypcWFu2yNHRiv0BAAAgZyEQAllozBgFBMjFRVu3Kk8e89iqVZo7V7a2Wr+ehWQAAACQpQiEQFbZvl1Tpshg0Nq1qlDBPHb69N33RkeNUqNG1uwOAAAAORCBEMgSISHq1k0mkz7+WM2bm8eiotS6tW7fVtOmGjfOuv0BAAAgJyIQApaXkKB27fTf/+rVVzV1qnnMZFKXLjp3TmXLas0a2fBvEQAAAFmOH6GA5Y0ZoyNHVKiQNmyQvb15bNYs7dghR0dt3KiCBa3bHwAAAHIoAiFgYTt3ato0GQxasSJl0ZjAwLubDc6apdq1rdkdAAAAcjICIWBJly7J2/u+TwevXNEHHygpSV27qk8f6/YHAACAHI1ACFhMUpI6d9bNm6k/HUxKUseOCg/XSy9pwQLr9gcAAICcjkAIWMy4cfrpp/s+HRw/XgEBcnbWmjVycrJufwAAAMjpCISAZXz7rSZPvu/TwT175OcnSUuWqEoVa3YHAAAAiEAIWMSVK+rcWUZj6k8Hw8Lk5SWTSX36qF076/YHAAAASARCIPMlJ6tjR924kfrTwYQEtW59d8zf37r9AQAAAHcRCIHMNnmyAgLk4qKVK1M+HRw16sGdCAEAAAArIxACmerwYX32maTD3t57//jj+vXrknbs0IwZ931OCAAAAFgfgRDINAe2bbvRoIGSkpZIr/r7N23atFixYvXrd+nSJfnenQgBAACApwKBEMgEJpNp5MiRV1q3LhIff1ZaXLVqo0aNKleunJxsExjoExVlW6bM1X8+JwQAAACeFgRCIBNMnDgxdNKkjlKyrW2Bb775v99+279//++//96793XpFSkyJMRj8WL2oQcAAMDThUAIPKnjx48vGzt2viTJdvx416ZNzeO7dmnRovwGg7y9A6TQQYMGXbhwwYp9AgAAAPchEAJPynf8+FVGYz5JDRro00/Ng2Fh6t5d5k8Hly1r3bJly4SEhIkTJ1q1UwAAAOAeBELgicTGxtbYs+d1KdnFRatXy8ZGUlLS/TsRDhs2TNKuXbuMRqN1GwYAAABSEAiBJxK+Y8fIxERJtkuXqkQJ8+D48QoMvGfXQQ8PD3t7+4iICPNGFAAAAMDTgEAIPIHoaPehQ+2k7c7Oev9981hAgCZNkqT58/+366CtrW2ePHkkRUVFWadVAAAA4AEEQuAJDBzoGBYWIvVOSoqPj5cUEaFOnZScrD591K7d/wpv3br1999/S3Jzc7NSrwAAAMD9CIRARm3cqGXLZGs7qEiR8Li4vXv3mkzq3l1hYXrhBc2YcU/ttm3bTCZTtWrV8uXLZ6V2AQAAgPsRCIEMCQ1V796SNHJklZ49JY0bN2769KSdO+XsrG3b5OT0v9ro6Gg/Pz9JXl5e1ukWAAAASIudtRsAnkFGozp31q1b8vDQ2LFDo6OXLFly4oTtqVMmSTNnqnz5/9VGRka2bdv2jz/+KFOmTN++fa3WMwAAAPAAAiGQfvPmKTBQuXNr+XLZ2RUoUGD16u2enq5Go33u3Ltu3/7jzBlPNze3sLCw3bt3z5gx48aNG/ny5duxY4dT6ueGAAAAgLURCIF0On/+7u7zs2erUiXz2MaNr5pMsrMLu3Ony6BBtwYNGpT6jKpVq27evLly5cpZ3ywAAADwCHxDCKRHYqLat9edO2rTRj17msfWrTMvLqNvv3WdN8/39ddfd3Z2lpQ3b94333xzyZIlQUFBpEEAAAA8hXhCCKTHtGk6flyurlq40Dzw558yfxj46adq2NC+YUMfHx8fa3YIAAAAPDYCIbJCVFTU6tWrd+7cGRoampSU5Orq2rhxY29v79KlS1u7tfQ4eVLjx0vSnDkqUkT/PC/8+2+99prGjbNydwAAAEB6EQhhcevWrRswYEBkZGTKyIULF3755ZcpU6aMHDly1KhRNjbPwqvLiYny8lJCgj74IGXL+QkTdOSI8uXTmjWy4x8TAAAAnjX8hoVlzZ8/v3///iaTqUqVKt7e3h4eHnZ2dsHBwevWrfvuu+/Gjh17+vTpdevWPQOZcOJEBQXJzU3z55sHfvhBfn6StHixypa1ZmsAAABAxhAIYUEBAQEff/yxyWT69NNPfX19U1Kfh4eHt7f31q1bP/zww40bN7744osjR460bqv/4uhR+fpK0pdfqnBhSZGR6tLl7n6EbdtauTsAAAAgY576xzJ4ZplMpgEDBiQnJ/fu3XvixIkPPgNs3br1smXLJPn6+oaFhVmjx8cTFycvLyUlqVMntWhhHuvZU2FhqlhRCxZYtzkAAAAg4wiEsJSjR4+ePHnS2dl54sSJD6tp3779a6+9Fhsbu379+qzsLX18ffX77ypRQvPmmQfWr9e2bbKz07Jlcna2bnMAAABAxhEIYSmBgYGSmjZtWqBAgUeUdezYUVJAQEAWtZVeR45oyhRJWrhQ+fNLCgtTv36SNHKkXn/dqr0BAAAAT4ZACEu5cuWKpOeee+7RZeXLl08pfurExt59WbRrVzVvLik5WR066OZN1avHPhMAAAB45hEIYSlOTk6SYmNjH112+/ZtSblz586KntLrs8905oxKldLs2eaBWbP000/Km1fLl+vpXxgVAAAAeDR+0sJSzI/+Dh8+/OiyX375RVKFChWyoqd0+eknTZ8ug0FLlypfPkknT2r0aEmaPl3/9uATAAAAeAYQCGEpzZo1s7e3P3LkyCMyYXR09MqVKyW1bNkyC1t7DHFx6t1bRqO6dFGjRuaBjh0VH69331WvXtZuDwAAAMgMBEJYSpEiRbp37y6pa9euN27ceLAgOTm5R48eERERL7zwQvPmzbO8wUcyryxarFjKy6Ljxun0abm5aenSh55kMpm++eYbLy+v6tWrlytXrkaNGj169Pj++++zqGcAAAAgnQiEsCBfX99y5cqdPXu2Tp06+/btS33ozJkzjRs33rRpU65cuZYsWWJra2utJtNw7NjdlUUXLzavLPrjj5o+XZK+/FJFiqR90pkzZ2rXrt2sWbNVq1adPHny4sWLJ06cWLp0aaNGjd54442QkJCs6h4AAAB4XHbWbgDZWaFChfbu3du8efOzZ8++/fbbFSpU8PDwsLOzCw4OPnLkiNFodHFxWb9+/SuvvGLtTlNJTFT37kpK0gcf6J13JP33v+rSRUajundP2Zf+fr/++uubb775999/FyxYsH///k2aNHF0dLxz587u3bsXLFhw8ODBOnXqHDx4sGLFill6LwAAAMAjEQhhWeXLlz9y5Mjnn38+f/788+fPnz9/3jxuMBhatmw5ffp089ozTxF/f504oQIFNGeOeWDQIP31lypUkL9/2mfExMS89957f//9d506db7++usiqZ4hvvHGG3379m3WrNlvv/323nvvBQUFOTg4ZMFNAAAAAI+DQAiLc3FxmT59+rhx4/bt2xcaGpqUlOTq6tqoUaPixYtbu7UH/PHH3e0Fp02Tm5ukTZu0cqVsbbVihfLkSfukWbNmhYaGlitXbs+ePQULFrzvaKlSpfbt21ezZs3g4ODFixf7+PhY9hYAAACAx0YgRBbJmzdvmzZtrN3FI5lM6tlTd+7orbfUrZukq1dljm+ffKLXXnvoeeaFUv38/B5Mg2bu7u5jx47t27fvypUrCYQAAAB4erCoDPCP1av1449yctLChTIYTCZ17aqICNWurc8/f+hJf/311x9//OHo6NjiYd8XSpLatm0r6ejRo7dv3870xgEAAICMIRACkqTr1zV4sCSNGaMKFSQtXKh9++TkpJUrZffwR+lXr16V5O7u7uTk9IjpCxcunC9fPpPJdOXKlcxtHAAAAMgwAiEgSRo8WJGReuklDRsm6eJFDR8uSePHq3LlR52XO3duSf/63M9kMsXGxkrK87AvEQEAAIAsRyAEpF27tHatbG21aJHs7IxGdeummBi99ZaGDPmXU0uXLu3g4HDjxo0LFy48ouzo0aMJCQn58+d3c3PLzM4BAACAJ0AgRI4XE6N+/SSpf3/Vri1pxgwFBKhgQa1eLZt/+yfi7Oz81ltvSZo9e/YjymbOnCmpWbNmtra2mdQ3AAAA8KQIhMjxxo5VaKiee05+fpJOn9aYMZI0a5bc3R9rguHDh0tauHDhrl270ixYu3bthg0bbGxshg0bllldAwAAAE+OQIic7dChu/vNz5+v3LkTE9Wli+Lj1bq1unR53Dnq16//0UcfGY3GNm3aTJw4MS4uLuVQTEzMyJEju3TpImnEiBHVq1fP/FsAAAAAMop9CJGDJSaqd28ZjerYUZ6ekqZN0/HjKlhQ8+enb6a5c+fGxsauWrVq1KhRU6dObdCggZubW1hYWEBAQExMjKQBAwZMmDDBEjcBAAAAZBiBEDnYnDk6eVL582v6dEknT2r8+LvDRYumbyZ7e/uVK1c2adJk1KhRly5d2rFjR8qh559/fvLkye+9915mdg4AAABkBgIhcqrQUI0bJ0lTp8rdPTFRXl5KSFCbNurUKYNTdurUqWPHjidOnAgKCgoPD3d3d69Vq1bVqlUzsWsAAAAgExEIkVP166fbt9WggXr0kDRxooKC5OqqhQufaFaDwVCjRo0aNWpkTpMAAACAJbGoDHKkXbu0a5fs7TVvngyGo0fl6ytJ/v4qUsTavQEAAABZJccFwtOnT0+YMKFRo0ZlypRxcXE5cODAfQVXr141PMSDxZJCQkJ69uxZqlSpXLlylSxZsnv37hcvXsyCG0HG3b59d+NBHx9VrRoXJy8vJSXp/ffVvr21ewMAAACyUA56ZTQsLKxfv347duxwcHCoV69e27Zt3dzcSpcufV/ZnTt3JL399tsvv/zyfYceLD506JCnp2dUVNSbb77ZtGnTCxcuLFu2bPPmzd98803dunUtdy94IlOnKjRUxYrp888l+fnp99/l5vakL4sCAAAAz5ycEgiPHTvWvHnzmJiYiRMn+vj45M2b92GV0dHRktq3b9+1a9dHzxkdHd26deu4uLjdu3e/88475sE9e/a0atWqVatW586dK1CgQObdATLJ2bOaMkWSpk1T3rxHjmjyZEmaO1eFC1u3MwAAACCr5YhXRiMiIlq2bCnpl19+GTFixCPSoKSoqChJhQoV+tdp/f39r127NnTo0JQ0KKlp06bDhw+PiIiYMWPGEzcOCxgwQPHxathQHTumvCz6wQdq29bajQEAAABZLkcEwiFDhly5cmXTpk3VqlX71+KIiAg9XiBct26djY1NP/PXaKn069fP3t5+7dq1GesWFrR1q/btk7295s6VNHmyzpxRoULy97d2YwAAAIA1ZP9AeOXKlfXr17ds2fKNN954nPrw8HBJRf5trcnw8PDg4OAXXnjB3d39vkNFihSpVatWSEgIq8s8XWJiNHCgJA0cqCpVgoP/97JoerehBwAAALKH7P8N4bZt2xITEzt06HDp0qXAwMDQ0FBbW9uyZct6enrmy5fvwforV65IsrOzi42NdXJyeti0v//+u6QqVaqkefSFF144fPhwcHDwc889l0n3gSc2caIuX1aJEho7NjlZXl6Kj1fr1urQwdqNAQAAAFaS/QPhzz//LMnX1/fUqVOpx52dnSdPnuzj43Nf/eXLlyWZg1zx4sU9PDw6derUsmVLG5t7nqaac2Phh6xDYn7j1FyTLsnJyeaPGB9HbGxseufPuYKDZf6qc+ZMOTvPmq7//EcFCmj+fGs3BgAAgKdJbGzsf//738csdnFxsbW1tWg/lpb9A6H5UZ6rq+vq1avr1atXtGjR2NjYgICAoUOH9uvXz8HBoWfPnqnre/Xq1bhx46ioqJCQkF9//XX37t1btmypU6fO5s2bS5UqlVJ2+/ZtSQULFkzzoubxmJiYdLUaHh5epUqVmzdvpuus4ODgdNXnUP37KyFBTZuqbdvz5zV2rCTNmMHLogAAALjL/Lt6/Pjx48ePf8xTChUqdPr0aTc3N0v2ZVnZPxDevHkzf/783333XcqIg4NDixYtatasWbly5ZEjR3p5eTk4OKQcfe2111577bXUp/v6+s6aNathw4YnT57MnTt36skNBkOaFzWPm0ymdLVqa2v7sAkfIQOn5DibNun77+XoKH9/k0k9eyo2Vm+/LW9vazcGAACAp0bGflc/608Is/+iMlFRUWkGsxIlSrRq1SoiIuLQoUOPOL1gwYIzZ84cNGjQH3/8MT/V+4V58uSRFBkZmeZZ5vFH72/xoMKFC0dERJge2+TJkyVVqlQpXVfJcaKi9PHHkjRkiCpU+PJLBQTI2VmLFlm7MQAAADxNzL+rJ0+e/Pg/yCMiIh72EdmzIvsHQicnp6ioqOTk5AcPVa1aVdL58+f/dZK+fftK+uabb1JGzIuLPuz1TvP4gwuQwgomTNC1aypbVqNHX76sTz6RJF9flS5t7cYAAAAAa8v+gdDd3d1kMj3sUZ6kNLPifcqUKaN7F4kxry9q/kDxQadPn9bD1yBF1jl3TnPmSNLkyXJy6t1bUVGqW1f9+1u7MQAAAOApkP0DYa1atSQdPXr0wUMhISGSypYt+6+TmKNg6m0qihYtWqlSpVOnTpn3LUwtMjLy6NGjZcqUYc8J6xs+XAkJatxYH3ywbp2++Ua5cmnJEtlk/7/4AAAAwL/L/r+L27RpI2nx4sX3jcfHx2/bts3FxeX111//10n27t0r6b6t7Tt16pScnDz/gY0L5s2bl5CQ0LFjxyfqG09u715t3y5HRy1adP26BgyQpFGj9Pzz1m4MAAAAeDpk/0D49ttvv/LKK9u3b0+d3IxG4/Dhw8PDwwcPHmxeHsbs559/fnCviO3btw8dOjRPnjwDzJHiHwMGDChatOjUqVP37NmTMrh3795JkyYVLlx46NChlrkhPJ7ERA0eLEkff6yyZQcOVGSkatbUiBHWbgwAAAB4amT/bScMBsOGDRsaNGjQr1+/tWvXvvbaa0ajcf/+/b/99lurVq1GjRqVUmk0Glu3bh0VFVWzZs3nnnvO2dn5v//975EjR/7888+CBQtu3Lix9L3rkLi4uGzbts3T0/Odd95p2LBhhQoVzp8//8MPP+TNm3fr1q0FChTI8ntFKl9+qeBgFS2q0aO3b9f69bK319Klssv+f+UBAACAx5Ujfh2XKVPmxIkT06ZN2759+8KFC21sbKpWrbp06VJvb+/Um43Y2NisXLlyy5Ythw4d2rlz5507d1xcXJ5//nlvb+/evXsXKVLkwZk9PDyCgoL8/Py+/fbbgwcPFilSxNvbe/To0Xw9mKabN2+GhYUlJSW5uroWL17cgleKjLy79/xnn91Kztu3ryQNHqwaNSx4TQAAAOCZkyMCoaR8+fL5+vr6+vo+uszT09PT0zNdM5cpU+bBDxRxn717906ePPngwYMpa7pWqVKlT58+H330kb29feZfz89PN2/qxRfVo8fwvrp6VZUra/z4zL8OAAAA8EzL/t8Qwrri4uK6dOnStGnTgICA5ORkd3f3kiVL2tnZ/f777/379/fw8AgNDc3kS549q3nzJGnWrIOHbJcskcGguXPl6JjJ1wEAAACedQRCWFBycnLbtm1Xr17t4OAwbNiwkJCQK1euhIaG3rhxY9GiRSVKlDh+/Hi9evWuX7+emVcdNkyJiXr33YS6DXv1ktGobt301luZeQUAAAAgeyAQwoJmz5799ddfOzs779+/f+rUqSmr8uTPn79Xr15HjhypUqXKpUuXevTokWmX/PZb7dolR0fNmuXnp+BgFS+umTMzbXoAAAAgOyEQwlLu3Llj/mhzwYIF9erVe7DA3d19x44dDg4Ou3btOnToUCZcMilJgwZJUp8+v8eXmzxZkmbOlItLJswNAAAAZD8EQljK/v37b926VaZMmU6dOj2spnz58u3atZP01VdfZcIlzVtNFC5sGjO2d28lJOjdd/XBB5kwMQAAAJAtEQhhKSdPnpTUpEkTG5tH/TUzL+t64sSJJ73ezZsaM0aSxo1bvr3ATz/J2fnu4jIAAAAA0pRTtp1A1rt586akQoUKPbqscOHCkiIjI5/0euatJl544Xrr3sOqSdK4cSpV6klnBQAAALIxnhDCUsxRMDw8/NFlV69e1T+xMOPOndPcuZI0deqwT+1u3lTNmho48ImmBAAAALI9AiEs5eWXX5b07bffJiUlPaJs9+7dKcUZZ95qwtPze4emq1bJ1laLFsmO598AAADAIxEIYSkNGzZ0d3cPCwtbvHjxw2pOnjy5detWg8HQsWPHjF9p3z7t3Cl7+7hJs/r0kaS+ffWEARMAAADICQiEsBQHB4exY8dKGjRo0Ndff/1gwfnz51u1apWcnNy+fftq1apl8DJGo0aMkCRv78nbK50/rxIl5OeX8bYBAACAnINACAv66KOP2rdvHx8f37Jly549ewYFBZnHL1++7OfnV6tWrYsXL1aqVGnBggUZv8bmzfr1V+XLF9xl0qRJkjRnjvLmzYzuAQAAgOyOr6xgQQaDYfXq1a6urnPnzl2yZMmSJUty5cplZ2cXExNjLqhfv/7mzZvz58+fwQvEx5sfD5rGfdZ7ZMGEBLVsqVatMqt9AAAAIJvjCSEsy87Ozt/f/5dffnnvvfecnJzi4uJiYmJsbGxef/31NWvW/Pjjj0WKFMn47F98oZAQPffcyrz9AgOVN+/dpUYBAAAAPA6eECIreHh4bNu2LT4+/saNG0lJSYULF3Z2dn7SSaOi5Osr6caQyUNH2En6/HOVLPnkzQIAAAA5BYEQWcfR0bFEiRKZNt2MGYqI0EsvfXLk/chIeXhowIBMmxsAAADICXhlFM+ma9c0Y4akgx3mr1xlsLGRv79s+OsMAAAApAe/oPFs8vXV7dtJDRr5rHnVZNJHH6lOHWu3BAAAADxrCIR4Bl24oC+/lMEwq9qykydVrJgmT7Z2SwAAAMAziECIpGVfQQAAIABJREFUZ9CYMUpMvNSk52dLS0qaPFkuLtZuCQAAAHgGEQjxrDl2TBs3ys5umGH6nTt68019+KG1WwIAAACeTQRCPGs+/VQm0563pm/em9feXnPnymCwdksAAADAs4lAiGfKd99p//743AU+PucjqX9/Va1q7ZYAAACAZxb7EOLZYTJpxAhJM15efz7QrnhxffaZtVt6gNFoPHToUFBQUExMTN68eV9++eXatWsbeIgJAACApxKBEM+OTZt07Nif+V/yPdJE0vTpypvX2i2lYjQaFy9ePHHixNDQ0NTj5cuXHzt2bOfOna3VGAAAAPAwBEI8IxIS9OmnkoaU2Bj7m6FhQ7Vvb+2WUomNje3QocOOHTsklShR4q233nJ0dLxz587+/fsvXLjQpUuXffv2LV++3M6Of3EAAAB4ivDzFM+IJUv055+7C3tt+62Co6MWLrR2P/fq2bPnjh07nJycZs6c2bNnT1tbW/N4QkKCv7//6NGj16xZU6BAgTlz5li3TwAAACA1FpXBsyA6WuPHxynXx4Y5kgYOVMWK1m4plb17965du9be3n7Pnj29e/dOSYOSHBwchg0btnnzZhsbm3nz5h05csSKfQIAAAD3IRDiWeDvr+vXp7pO/+OGS5kyGjvW2v3ca/r06ZIGDhxYv379NAtatGjh7e1tMpnMlQAAAMBTgkCIrBAaGjpkyJAKFSo4Ojra2tq6u7t36dLl0KFDj3XyrVuaMeOinpt8q7ek6dOVO7dlu02X6OjowMBAg8HQr1+/R5SZj+7duzcpKSmrWgMAAAD+BYEQFufv71+pUqWZM2deuHAhISHBaDReu3Zt9erVr7/+ure3d2xs7L+cP3Wqbt3qm29tbILtO++oTZssafqxXbp0KTEx0c3NrVSpUo8oq169uqOjY3R09LVr17KsNwAAAODRCISwrOHDhw8cODA2NrZhw4ZbtmwJCwsLDw8/cOBAr169HBwcVqxY0aRJk/j4+Ieef/265szZqRbf/u2RK5f8/bOw9ccTFxcnycHB4dFlBoPB0dExpR4AAAB4GhAIYUFbtmyZOnWqeT2V77//vnXr1sWKFXN1da1fv/6iRYsCAwMLFSp08ODBTz755KFTzJwZfztpSK75kgYMUPnyWdf8YypWrJikq1evxsTEPKLs2rVrUVFRNjY25noAAADgaUAghKUkJSUNHTpU0tixY318fB4sqFOnzubNmw0Gw4IFC86dO5fGFNeva968mRp8Ia5EsWIaM8bSLWdEsWLFKlWqlJiYuGXLlkeUrV+/XpKHh0fup+oLSAAAAORsBEJYys8//xwSElKoUCHzA8Br164tWbJk7NixY8eOXbZs2R9//CHpzTff9PT0TEpK2rBhQxpTTJt26XbhCTbjJM2cKWfnrL2Bx9atWzdJo0ePvnHjRpoFly9f9vX1TakEAAAAnhJsTA9LOXz4sKSmTZtGR0f369dvxYoVRqMxdUG9evX8/f1bt269Z8+eNFYcDQ/XggXDtSzW6Fi/vtq1y7LG061fv36LFy8+f/5806ZNt27det/qMmfPnm3duvXNmzdfeuklLy8vazUJAAAAPIhACEsJDw+X5ODg8PLLL1++fNlgMNSpU6dGjRqSLl++/MMPPwQGBr766qsDBw5MKb7HlCkBd2pvVDtbW82eneXdp4eTk9OOHTsaNGhw7NixypUrd+/e3dPT083NLSwsbPfu3StXroyPjy9VqtT27dvt7PgXBwAAgKcIP09hKXnz5pW0cePG27dvV6lSZfny5XXq1Ek5+tdff/Xr12/Hjh3Tpk2T5OLics/JYWHJC78cqIOSevRQjRpZ2nkGVK5c+T//+U+XLl0CAgLmzp07d+7c1EebNm26fPlyNzc3a7UHAAAApIlACEupUqWKpNu3b1etWvXnn3/Oly9f6qMlSpTYtm2bl5fX6tWrJVWqVOmek6dNWxL3YZBqFCqkiROzsOknUKpUqQMHDuzdu3fnzp1BQUHh4eHu7u61atVq3bp1/fr1rd0dAAAAkAYCISylZs2a5j/06tXrvjRoZjAYxo0bt2bNGpPJVLRo0f8d+OuvyC82j9QpSWPHqmDBLGk3k3h6enp6elq7CwAAAOCxsMooLOXnn382/2HixIlnz559sCA6Orpbt24mk0nSpUuX/ndgypTP44ffVMFq1dS3b5b0CgAAAORIBEJYyoULFyS5ubmFh4d7eHh88cUXsbGx5kNGo3Hv3r116tQJDAx0dnaWdP78+bunXb586stDC9RX0uzZYhEWAAAAwHIIhLCUuLg4SR988EH9+vVv3brVp0+fIkWK1K1bt0GDBsWLF2/atOmZM2dKliw5adKklGJJmjRpYMLUJNm9954aNrRi+wAAAED2RyCEpRQvXlzSX3/99d13382fP79kyZK3b9/++eefAwICrl27li9fvkGDBp04ccK8OWGJEiUkKSRkx5fhP6hhLgfjjBnWbR8AAADI/nghD5by5ptvStq/f/+tW7f69u3bp0+foKCg0NDQpKQkV1fXOnXqODo6mkymdevWSWrYsKGkOL8Zg5OnSRo81Oa556zbPgAAAJD9EQhhKTVq1Khdu/Z//vOfIUOGrFy50mAwvPTSSy+99FLqmiVLlvzf//1f3rx527Vrpz//nLU8/0U9V8otftQoR2u1DQAAAOQcvDIKC5ozZ469vf2qVasGDx6cmJh439Hly5f7+PhIGj9+vJubW9ioBROTh0vym+6YO7cVugUAAAByGp4QwoI8PDzmzJnTt2/fWbNmff3117169apRo4aky5cvr1q16sCBA5I6duw4cOBAXbw4YuNLMXJ+46WYTp2crdw3AAAAkDMQCGFZvXv3dnd379+///nz54cNG5b6UJ48eUaMGDFy5EiDwXBkyMZ1xuEGmaYucDYYrNUsAAAAkLMQCGFxLVu29PT03LJly86dO4ODgxMSEsqWLfv222936NDB1dVVkumvsI93vmWUTecm4R4ebtbuFwAAAMgpCITICo6Ojh07duzYsWOaR9d0//Gw8cO8tnemrSINAgAAAFmHRWVgZbcvRXy6v6GkoR2vuJEHAQAAgCxEIISVzfQ6EWYqVsrh2rBF5a3dCwAAAJCz8Moosk5ISEjKxvRVqlSxsbG5ejZqaqCHpM97hDo5FbV2gwAAAEDOQiCExSUlJa1evXr27NknT55MGSxevHi3bt0u734vxlTz5Vy/dfZ/2YodAgAAADkTgRCWFRER8f777wcEBEhydnZ+/vnnJYWFhYWFhU2dsDtRn0ma3v+Sjd0L1u0TAAAAyIEIhLCg2NjYZs2aHTlyJH/+/JMmTfLy8nJycpJkNBr37dvXt2XePxNs3jbsKNHteWt3CgAAAOREBEJYkJ+f35EjR4oUKfLTTz+Znw2a2djYJCc0/jPB1lHxxUxDvHsVCwwMtGKfAAAAQM7EKqOwlOjo6NmzZ0v68ssvU6dBSYmJGtrntqTeuZZ/nefaTz/99OOPP1qnSwAAACAHIxDCUvbt23f79u3KlSu/99579x36cpHpzBWXQoocNzCqTefOkrZt22aNHgEAAIAcjUAIS/ntt98kNWjQ4L7xW7f02ahESaMdpxUY1sNccOrUqazuDwAAAMjxCISwlL///ltS/vz57xufOFERUQ4Vdc7HRypYsECBApJu3bplhRYBAACAnI1ACEspUqSIpMuXL6cevHBB/rOMkibbj7EfNjCloGhRdqUHAAAAshqBEJby6quvStq3b198fHzK4KhRSkiyeUvft/LOr6JFJe3cuTOlGAAAAEBWIhDCUurWrVuqVKnr169PmzbNPHLwoDZtko2M022Ha/hwSQEBAbt27bK1tW3Xrp1VmwUAAAByIgIhLMXOzs7X11fSZ599tnbtWpNJQ4ZI0odaU+ODinruuaCgoA4dOphMpq5du963LwUAAACALEAghAV17ty5V69eycnJH374Yd26k44cUS7FfW4Yd65166FDh3p4eFy9erVmzZr+/v7W7hQAAADIieys3QCyuS+++MLd3d3Pb/IvvzSXNEzTfjOFNG/b1ny0ZcuWq1atypMnj1V7BAAAAHIoAiEsy2AwfPbZZzY2H40b515cf32qSU2lIkWK1K9f39vb+5133rF2gwAAAEDORSCExd2+rS++cJc0Rr6Or9bYvX8/jwQBAACApwGBEBY3e7auXlUV27M9kpfYjNpBGgQAAACeEiwqA8sKD9eUKZI0IXmkbeWK4h1RAAAA4KlBIIRlTZyo6Gi97nS8tbbq449lMFi7IwAAAAB3EQhhQX/8oYULJWly7McqXFhduli7IwAAAAD/QyCEBY0Zo8REvVvol7o6qI8+kpOTtTsCAAAA8D8EQljKsWPasEF2tqapkd3l4CAfH2t3BAAAAOAeBEJYytChMpnUpUxgJZ1R+/Zyd7d2RwAAAADuQSCERXz7rQ4cUG4n04RLXWQwaOhQa3cEAAAA4H7sQ4jMZzTqk08kqX/1wGKHQ/Xmm6pW7ezZszt37gwNDU1KSnJ1dW3cuPFrr71mY8P/kgAAAACshkCIzLd2rU6eVKGCphFnukq68eGHH7VuvW3bttQ1n3/+eY0aNebMmfPGG29Yp0sAAAAgxyMQIpPFxWnMGEkaUe+X/NtDYsuUeWHEiOs3btjZ2b311lseHh52dnbBwcFff/11UFBQw4YN586d27t3b2t3DQAAAOREBEJksvnzdemSSpdWv6AeksZFRFyPialTp87KlSsrVaqUUnbz5s3BgwevXLnSx8enZMmSzZo1s17LAAAAQA7FF1zITDdvys9Pksa3PJ4r5Ey0g8P8mJiXX375wIEDqdOgpIIFC65YscLHx8doNPr4+MTHx1unYwAAACAHIxAiM02Zov/+Vy+9pM4nhkqal5AQb2u7fPlyp4dsST99+vRSpUpdunTpq6++ytpOAQAAABAIkXmuXNG8eZL0WafzNgE/Gu3s5kl169Z94YUXHnZKrly5unbtKmn37t1Z1SYAAACAuwiEyDR+frpzRx4eavHreEknK1W6ItWsWfPRZ5kLQkJCsqBDAAAAAKkRCJE5zp7VokWSNG3YdW3aJOnASy9JsrP7l4WL7O3tJSUmJlq8RQAAAAD3IhAic3z+uZKT5empukdmKjFR9esbatWSdObMmUefGBwcLKlUqVJZ0SUAAACAVNh2ApkgKEgbNshgkO/IO2qxSJIGDWpUvryk77777urVq+7u7mmeaDQa16xZI6lRo0ZZ2C8AAAAAiSeEyBTjxsloVJs2qhW0VLduqVIltWhRtWrVevXqxcbG9unTx2g0pnni7Nmzg4KCChQo0K5duyzuGQAAAACBEE/q0CHt3Ck7O/lNMN5dZrR3bxkMkubMmZMrV64dO3Z8+OGH0dHRqc9KTk6eMWPGJ598ImnKlCkFCxa0Ru8AAABAjsYro3hSI0ZI0ocfquKl/Tp3TgUKqFs386Hq1asvXbrUy8tr/fr13377bbt27Tw8POzs7IKDgzdu3Hj+/HlJffv27dmzpxX7BwAAAHIsAiGeyHffKTBQjo767DPJZ64kde+uvHlTCjp27FisWLHevXufPXt24cKFCxcuTDlUoECBCRMm+Pj4ZHnXAAAAACReGcWTMJn06aeS1LOnShv/1J49srFR7973lf39999RUVEPnh4bG3vz5s2HfV4IAAAAwNIIhMi4HTt09Kjy5NGoUdKiRTIa1aSJypVLXbNgwYJWrVpdvXq1QoUK06ZN++mnnw4dOrRs2bIGDRrExcWNHTu2Y8eOZEIAAADAKnhlFBlkNGr0aEnq319F88dp6VJJ6ts3dU1gYOCAAQNMJtOgQYOmTJli3oNekoeHh7e395o1a3r27Llx48bq1at/an7UCAAAACAL8YQQGbRunU6fVoECGj5c2rRJEREqW1bNmqWuGTx4cHJycteuXWfOnJmSBlN8+OGH5k8K/fz8wsPDs651AAAAAJIIhMiYhASNGSNJgwcrf37JvFRMz56y+d/fqOPHjx87dszZ2Xn69OmSkpOTjx07tm7duhUrVhw4cODOnTuSunbt6uHhcfv27XXr1lnlRgAAAICcjECIjFi2TCEhcnPToEHSsWM6fFi5cune3SN+/PFHSU2aNMmdO7efn5+bm9vLL7/cqVMnb2/vN998s1ChQt7e3leuXOnQoUNKMQAAAICsxDeESLc7d/T555I0YoTy5JG++EKS2rRR4cKpy65evSrJzc2tbt26x48fN/+5WrVqki5fvnz27NkVK1Z8/fXX5r3pw8LCsvo2AAAAgByPQIh0W7BAV6+qVCn16SPdvKm1ayWpT5/7ynLlyiVp06ZNkZGRbm5u/v7+bdu2tfnnndL/+7//8/HxOXbs2NixYyU5OTll6T0AAAAA4JVRpFdUlCZPlqQxY+ToKK1apdhY1ayp11+/r7JcuXKSIiMjixcvfuTIkXbt2tmk+sLwlVdeOXjwYOPGjePi4iRVqFAh6+4BAAAAgCQCIdJrzhxFRqpcOXl5SSaT5s+XpF69Hqx8/Z+I+Mknn5QqVerBgly5cn3xxRcGg0FSiRIlLNg0AAAAgLQQCJEOt25pxgxJ+vxz2dtL33+vCxeUL586dXqw2PzdoKQFCxZEREQ8WJCcnPzpp5+aTCZJ169ft2DfAAAAANJCIEQ6TJ+uW7dUu7Y6dJAkLVggSV5ecnZ+sDg4OFhSvnz5zp49W7du3cDAwNRHL1y40LJly02bNtnZ2Uk6e/asxbsHAAAAcC8WlcHjunFD/v6SNGqUDAbp0iXt3CmD4cHlZMyio6MltW/ffv/+/WfPnq1fv3758uWrV69uY2MTEhJy7Ngxo9Ho7Oz88ccf+/n5RUVFZeW9AAAAABCBEI9v1izFxKh2bbVsKUlaulTJyWrYUJUqpVlftGhRSVFRUYcPH+7Tp8/27dsvXLhw4cKFlIJatWqtW7fuwIEDktzd3S1/BwAAAADuQSDEY7lxQ3PmSNKYMZKkhAQtXiylsdtECvOiMt9+++24ceO2bt1q/lbQzs7OxsYmISFB0rFjx3r16mVeVKZu3boWvwcAAAAA9+IbQjyWmTN1+7bq1NG770qStm3TtWsqXlzvvfewU1599dUKFSrcvHlz4cKFBoOhR48ev/76a2JiYnx8fGhoqK+vb968eQMCAg4cOGBvb9++ffssuxcAAAAAZgRC/Lvr1zV3riSNHfvP0MKFktSjh+we+pDZxsamYcOG5j/37Nlz8eLFNWrUMP9nyZIlR40a9cUXX5h3JnzuuefKli1rsfYBAAAApI1XRvHvZszQ7dt65RU1ayZJOnVKAQGyt9dHHz3irISEhJ07d5r/vGjRovPnz/v4+Jgz4eXLl1etWrVy5Uqj0WgwGM6dO3fq1Klq1apZ/E4AAAAApMITQvyL69fvbj4/btw/Q4sWSVLLlnrkSjA//PDD1atXixcvPnPmTCcnpx9++KFNmzblypUrV65cgwYNli1bZjQau3bt2qpVK5PJtG7dOgvfBwAAAID7EQjxL6ZN0+3b8vBQ06aSpKgorVolSX37PvrEY8eOSWrcuPGgQYPOnDnzySef1KpVy9nZ2cHBoWLFij179vz555+XL1/eokWLlGIAAAAAWYlXRvEo4eF3N5//3+PBDRsUHa2KFdWgwaPPjYiI0D/7SZQqVWrKlClplpkLbty4kUktAwAAAHhcPCHEo0ydqjt3VLeuPD3/GTIvJ9OnjwyGR59boEAB/RMLH8FcULBgwSftFQAAAEA6EQjxUFeu3H08eHfvQUn/+Y+CgpQ7t7p1+9fTq1evLmn//v1Go/ERZXv37pWUsgApAAAAgCxDIMRDTZ+uuDi98YaaNPlnaOlSSXr/fbm4/OvpjRs3zpcvX0hIyJo1ax5Wc+7cuQ0bNkh6//33M6NlAAAAAOlAIETawsLuvhz6v70H79zR+vWS1L3748yQO3fu0aNHS/Lx8QkMDHyw4Nq1a61atUpMTGzevPmrr76aKW0DAAAAeHw5LhCePn16woQJjRo1KlOmjIuLy4EDBx6sCQkJ6dmzZ6lSpXLlylWyZMnu3btfvHjxYROmq/gZMm2a4uJUr54aNfpn6KuvFBWlSpVUr95jTjJo0KBmzZrFxMQ0btz4k08+CQkJMY/funXryy+/rF279u+//16mTJml5gePAAAAALJWDgqEYWFhrVq1qlatmp+fn42NTdu2bceOHVu6dOn7yg4dOlS9evUlS5aUL1/ey8urYsWKy5Ytq1GjxsGDBx+cM13Fz5CwsLt7Df5vcVH9876ol9fjz2Nra/vVV1917tw5ISFh2rRpZcuWLVasWKlSpYoUKfLRRx/99ddfNWvWDAwMdHV1zdT2AQAAADyWnLLtxLFjx5o3bx4TEzNx4kQfH5+8efOmWRYdHd26deu4uLjdu3e/88475sE9e/a0atWqVatW586dM6+cmYHiZ8uUKYqLU/36atjwn6EzZxQYKHt7de2arqly5cq1atWqjh07Tp48+eDBg1evXjWPV6lSpU+fPh999JG9vX1mtg4AAADgseWIJ4QREREtW7aU9Msvv4wYMeJhaVCSv7//tWvXhg4dmhLwJDVt2nT48OEREREzZszIcPEz5OpVLVkiSaNGpRpduVKSPD1VtGgG5vT09Dxw4MD169dPnjx5/Pjxv/766/Tp0/369SMNAgAAAFaUIwLhkCFDrly5smnTpmrVqj26ct26dTY2Nv369btv3Bxd1q5dm+HiZ8jUqYqN1RtvqHHjf4YSE7V8ufS4y8mk6fDhw9OnT5/yj127diUkJGRCuwAAAAAyKvu/MnrlypX169e3bNnyjTfeeHRleHh4cHDwiy++6O7uft+hIkWK1KpV6/DhwxcvXnzuuefSW/wMuXJFX3whSVOmpBrds0fh4XJ3V7NmGZjzzJkzffr0uW/9nrlz55YrV87f379ZhuYEAAAA8OSyfyDctm1bYmJihw4dLl26FBgYGBoaamtrW7ZsWU9Pz3z58qWu/P333yVVqVIlzXleeOGFw4cPBwcHmzNeuoqfITNmKC5ODRronm0gzMvJdO4su3T/hfn+++9bt24dFRXl5OTUsmVLDw8POzu74ODgLVu2/PHHH+++++6kSZOGDx+eaTcAAAAA4LFl/0D4888/S/L19T116lTqcWdn58mTJ/v4+KSMXLlyRVLhwoXTnKdQoUIpNektflZcv3738eDo0alGr1zRN9/IYMjA+6Lnzp1r06ZNVFTUW2+9tWLFihIlSqQcmjJlyujRo2fPnv3pp5+WLVv2gw8+ePL+AQAAAKRL9g+E5kd5rq6uq1evrlevXtGiRWNjYwMCAoYOHdqvXz8HB4eePXuaK2/fvi2pYMGCac5jHo+JiclA8WOKi4vr3Lnzn3/++Zj1165dk5SybueTmzVLd+6obl299Vaq0dWrlZSkunVVsWJ6Jxw6dOjff/9dr169PXv23Ld+TJ48eWbNmuXk5DRp0qSBAwc2b948d+7cT3wHAAAAQAaZf1fPnTt38+bNj3lK2bJlV69enStXLkv2ZVnZPxDevHkzf/783333XcqIg4NDixYtatasWbly5ZEjR3p5eTk4OKQcNRgMac5jHjeZTA8OPmbxvwoLC9uyZUsGzkpX/cNERGjePEkaOTLVqMmkZcukjCwnc/HixV27dtnb2y9ZsuRhq4mOHz9+8+bNFy5c2LRpU9d0bmgBAAAAZCLz7+qwsLDH/4F9/PjxyZMnlytXzpJ9WVb2D4RRUVFpjpcoUaJVq1arV68+dOhQ/fr1JeXJk0dSZGRkmvXm8ZQtK9JV/JjKlSt39OjRmzdvPmb9xo0blyxZUqNGjXRd5WHmzlVMjGrXVtOmqUYPHtS5c3JxUdu26Z1w7969kurXr1+hQoWH1djb23t5eY0ZM2bPnj0EQgAAAFhRjRo1Tp061aNHj3bt2j3mKQULFnym06ByQiB0cnIKDw9PTk62tbW971DVqlUlnT9/3hwIzeuFPiyPmcdT1hRNV/Hjq1mz5uMXHzt2TJJd+hd6edCtW/L3l+57PKh/lpNp10558qR3ztDQUEkvvvjio8uqV68u6dKlS+mdHwAAAMhE5t/V5cuXb9SokbV7yTrZfx9Cd3d3k8n0sEd5kpKTk81/MC8Zav7m8EGnT59WqmVF01X89Js/X3//rRdfVMuWqUZv3dKmTVIGtx80v/v6sLdqU9jY2Cj9r9cCAAAAeHLZPxDWqlVL0tGjRx88FBISIqls2bLm/yxatGilSpVOnToVHh5+X2VkZOTRo0fLlCmTso1EuoqfctHRmjVLkkaO1D3xbdMmxcbqxRf1yisZmLZkyZKS7lvc9UEnT56UVLp06QxcAgAAAMCTyP6BsE2bNpIWL15833h8fPy2bdtcXFxef/31lMFOnTolJyfPnz//vuJ58+YlJCR07Ngx9WC6ip9mX3yhyEg9//wD3wma3xfN6Kd9TZo0kfTjjz9evHjxYTVJSUnLly9PKQYAAACQlbJ/IHz77bdfeeWV7du3p05uRqNx+PDh4eHhgwcPzpPq67gBAwYULVp06tSpe/bsSRncu3fvpEmTChcuPHTo0NQzp6v4qXXnjmbMkKSRI2WT+q/DiRM6ckSOjurSJWMzV6xY8e23305MTOzdu3diYmKaNb6+vufPn3d1dWUfQgAAACDrZf9FZQwGw4YNGxo0aNCvX7+1a9e+9tprRqNx//79v/32W6tWrUaNGpW62MXFZdu2bZ6enu+8807Dhg0rVKhw/vz5H374IW/evFu3bi1QoECGi59aixcrPFwVKqhTp3sPrFghSS1aqFChDE8+Z86cOnXq7N+/v1WrVsuWLXN1dU05FB8fP2HChIkTJ0qaPXu2i4tLhq8CAAAAIGOyfyCUVKZMmRMnTkybNm379u0LFy60sbGpWrXq0qVLvb29H1zyxMPDIygoyM/P79tvvz216yXfAAAU2klEQVR48GCRIkW8vb1Hjx6d5geB6Sp+CsXGasoUSRo2TPcswhofr9WrpQwuJ5OiYsWKX331VatWrXbv3l22bNkWLVp4eHjY2dkFBwdv3br16tWrBoNhzJgxHTp0eJKrAAAAAMiYHBEIJeXLl8/X19fX1/dxisuUKfPgN4eZUvy0WbFCV6+qdOkHvhPcuVORkSpdWo0bP+ElGjVqFBAQ4OPjc/jw4Q0bNmzYsCHlULly5WbNmvXuu+8+4SUAAAAAZExOCYR4UEKCJk2SpKFDZW9/7zHzcjJeXvd+VphBNWvWPHTo0OHDh3fu3BkaGpqUlOTq6tq4ceO3337bwcHhyecHAAAAkDEEwpxr9WpdvqxixdSjx70HLl3S/v2ysZG3dyZezsPDw8PDIxMnBAAAAPCEsv8qo0hTUpImTpSkwYOVK9e9x9auldGoevVUpowVOgMAAACQVQiEOdT69bp4Ua6u6t373gMmk5YvlzK+/SAAAACAZwWBMCcymTR1qiT5+CjVLoySpP/8RxcuKE8evf++NVoDAAAAkHUIhDnR3r367Te5uGjAgAeOrV0rSS1aPJAUAQAAAGQ3BMKcaPx4SerfX/nz33sgMVHr10vShx9mfVcAAAAAshiBMMcJDNT//Z9y507r8eD+/bpxQ25uatLECp0BAAAAyFoEwhxn8mRJ6tZNrq4PHFuzRpLatZMd+5EAAAAA2R+BMGc5flx79sjeXp988sCx6Gjt2CHxvigAAACQUxAIc5Zp0ySpfXuVLPnAsa1bdeeOKlVS7dpZ3hcAAAAAKyAQ5iDnz2vzZtnY6NNP0zpsXl+0U6esbQoAAACA1RAIc5CZM5WcrObNVbnyA8f++kvffy+DQZ07W6EzAAAAANZAIMwprlzR8uWSNHJkWoc3bJDRqNdfV+nSWdsXAAAAAKshEOYUc+YoPl716+uVV9I6bH5flOVkAAAAgJyEQJgj3LqlhQslacSItA6fOqWgIDk66oMPsrYvAAAAANZEIMwRFixQVJRq1pSnZ1qH162TpGbNVKBA1vYFAAAAwJoIhNlfbKz8/SVp2LC0Dicna/VqifVFAQAAgByHQJj9LVum69dVoYLatk3rcGCgwsJUqJCaN8/qzgAAAABYFYEwm0tK0owZkjRkiGxt06owLyfz/vtycMjKxgAAAABYHYEwm9vw/+3de5CVdf0H8M8Cu0ssixdumwgDCgwao+VG2RgNkM408mMaVBowVIiLNwqZAicSvI02k07JzSkbIS9EiQrBgtaUgzQxOmVJljAjsFsgyQYboAsLG3t+f6ySXHU4931erz8Y5nme/e77zHzmPOe9zznP+UXU1sZ558WECSfbffBgLF8e4f6iAACQRAphW9bSEg8+GBExfXqUl5/siJqa2L8/Lrggrrgit9EAAID8UwjbsjVrYtOmOOecuPXWUxzx9NMREddfHyUlOcwFAAAUBIWwLXvggYiI226LysqT7d69O154ISLixhtzmQoAACgQCmGbtX59vPpqdOoU3/rWKY545plobo4hQ2LAgJwmAwAACoNC2GY9/HBExI03Ro8epzii9f6ibicDAABJpRC2TZs2RU1NtGsX3/72KY54663YsCFKS2PcuJwmAwAACoZC2Db94AeRSsV110X//qc4YtmyiIirroru3XOYCwAAKCAKYRu0Y8f77wadOfPUB/3iFxHh8iAAACSZQtgGLVoUzc3xpS/FZz97iiP+/OfYtCk6dYrRo3OaDAAAKCQKYVvz7rvx4x9HxKk/PRgfXB4cNSoqKnKTCgAAKEAKYVvz+OOxd29cdFGMGnWKI1KpWL48ImLMmBzmAgAACk6HfAcgXbW1tctbC17EkSPx4IMREUOHxrPPnuIHtmyJurro2DGamuKDH8yZhoaGxsbG3r175/j30mYcOXJk8+bNF110Ubt2/p7FGaqrqzv77LPPPvvsfAehWO3du3fv3r19+/bNdxCKVUtLy6ZNmwYNGtS+fft8Z+EYtbW1+Y6QBwphEWt9Qbxu3bp169Ydt+uxx+Kxx077w01NvoEQAACOk7Q/OiuERWzkyJE1NTWNjY1Ht7z9dhw4EGeffdrvkvjHP+Lw4ejZM7p0yUHI42zcuPG///3vxRdf/IlPfCL3v502YPv27fX19VVVVb169cp3FopSY2Pj5s2by8vLBw8enO8sFKu//e1vhw4dGjRoUIWP4nNGdu7c+a9//atHjx7eM1WAKioqRo4cme8UOVWSSqXynYEE6dmzZ319/RtvvOGlGGdmxowZjzzyyOzZsx944IF8Z6Eovfrqq5dffnm/fv22bduW7ywUq/79+2/dunXDhg1f+MIX8p2FojR37tz777//m9/85vz58/OdBdxUBgAAIKkUQgAAgIRSCAEAABJKIQQAAEgohRAAACChFEIAAICEUggBAAASSiEEAABIKIUQAAAgoRRCAACAhFIIAQAAEkohBAAASCiFEAAAIKEUQnKqvLz86L9wBsrKysIIkQbPQqTPFJEm5zIKSod8ByBZlixZsnXr1gEDBuQ7CMXqjjvuOOuss6ZMmZLvIBSrSy+9dOHChZdcckm+g1DEfvKTn7z++uuf+cxn8h2EYnXLLbe0a9duwoQJ+Q4CERElqVQq3xkAAADIA28ZBQAASCiFEAAAIKEUQgAAgIRSCAEAABJKIQQAAEgohRAAACChFEIAAICEUggBAAASSiEEAABIKIUQAAAgoRRCAACAhFIIAQAAEkohBAAASCiFkMyoq6ubMmVKnz59Onbs2Lt370mTJm3bti3HK1DUMjgAq1atKi0tXbhwYWYTUuDSHKE333zz9ttv79evX1lZWefOnT/96U/fddddDQ0N2QtMAUpnilpaWlasWHHttdeef/75ZWVlXbp0qa6unjNnjilKlMy+mNm3b191dXVJSYkzGtmVgrRt2LChS5cuETF8+PCpU6eOGDEiIiorK3//+9/nbAWKWgYH4Je//GV5eXlELFiwIBtRKUzpjFBLS8ucOXPat29fWlo6YsSIyZMnjxkz5pOf/GRE9OnTZ/v27TnITyFI84lo9uzZEXHhhReOGzdu6tSpo0eP7tq1a0T06tVr69at2Q5PIcjsi5mmpqahQ4e2vlx3RiOrFELStX///qqqqrKysjVr1hzduHbt2vLy8m7dujU0NORgBYpapgZg9+7dN998c0Scd955Tp+JkuYIHTp06POf//zEiRPfeeedoxsPHjx4++23R8Q111yTrdwUkvSfiHbt2rVu3boPbzl06NCUKVMiYsyYMZlPTIHJ+IuZ8ePHd+rU6a677nJGI9sUQtJ1//33R8Ts2bOP2z537tyI+N73vpeDFShq6Q9AU1PTtGnTunTp0rFjx3vvvXf58uVOn4mS/gg1NjaeuPHw4cPdu3cvKys7cOBAZoJSwLJ0Jjp06FBlZWXXrl3TDkihy+wILVy4sKSk5Pnnn1+9erUzGtmmEJKuiy66qF27djt37jxue319fWlpad++fXOwAkUtIwMwfPjwGTNm7NixI5VKrVixwukzUbL3HHLllVdGxLZt29ILSBHI3hR17969X79+6aWjCGRwhDZu3NixY8c777wzlUophOSAm8qQll27dm3atGnw4MGtn7f5sO7du1dXV9fV1Z3+49Tpr0BRy9QAvPTSSz/84Q979eqVnZgUrqw+hxw8eDAizjrrrHRTUtiyN0VLliz597//PXbs2EzEpHBlcIQOHDgwduzYwYMHt15yhBxQCEnLm2++GREXX3zxSfcOHjw4IjZt2pTVFShqBoA0ZW+E6uvrX3vtterq6nPPPTedhBS+zE5RfX395s2b165dO3HixEmTJn3jG9+4++67MxWVwpTBEfrud79bV1e3dOnS0tLSDCaE0+iQ7wAUt507d0ZEt27dTrq39QZrrcdkbwWKmgEgTdkbodmzZzc1NXkpnwSZnaKrr776tddei4iSkpK5c+fOnj27rKwsQ0kpUJkaoY0bNy5atOiee+4ZOHBgZhPCaSiEpKWxsTEiTvXn89bt7733XlZXoKgZANKUpRGaP3/+448/Pm3atFGjRqWZkMKX2Sl6+OGH33rrre3bt7/44ov33nvvc889t3LlygsvvDBTaSlAGRmhVCp122239evXb+bMmRlPCKehEJIBJSUlp9meSqVysAJFzQCQpsyO0EMPPXTnnXded9118+bNy0A4ikSmpmjYsGHDhg2LiPvuu2/58uU33HDDsGHD/vrXv55zzjkZSkqBSnOEnnrqqQ0bNtTU1LR+my7kjM8QkpaKioqI2LNnz0n3tm6vrKzM6goUNQNAmjI+QrNmzZo1a9bYsWN//vOft2vnLJkI2XsiGjNmzN13371jx45Fixalk5ACl/4INTc333PPPVdcccXIkSOzkRBOw6mOtLTeTauhoeGke1u3n3jHrcyuQFEzAKQpgyOUSqUmTZr00EMP3XzzzU8//bQ7OiRHVp+Ixo0bFxG/+c1vzjQdRSD9EVq+fHltbe1NN92041itZXLv3r1H/w8Z5y2jpKX1hlqtN9c60d///vc49U23MrUCRc0AkKYMjtCMGTMWL158xx13/OhHP8pgQgpfVp+IevToERG7d+8+03QUgfRHaNWqVRExderUk+6dM2fOnDlzRo4cWVNTk25WOIFCSFqqqqoGDRr0xhtv7Nq1q2fPnh/etWfPnj/96U99+/a94IILsroCRc0AkKZMjdCjjz46b968yZMna4MJlNUnorfffjs+qIW0VemP0MyZM8ePH3/i9j/+8Y/33XffLbfcMnLkyONWhkzxllHS9fWvf/3IkSMnfjpi4cKFhw8fvv7663OwAkXNAJCm9EfonXfemTVr1qWXXvroo49mJyOFLntPRE8++WREXHXVVWnlo+ClOULV1dX/dzJDhgyJiE996lNH/w+Zl4L07Nu3r6qqqry8fO3atUc3vvDCC+Xl5d26dWtoaDi6saWlZfz48QMGDFizZs2ZrUCblP4IHWfFihURsWDBgiyGppCkP0KtXzb44osv5i40BSb9KVq9enVjY+OHt7S0tCxevLhDhw49e/b8z3/+k+2HQH5l/FzWavXq1c5oZFtJyv3cSdsrr7zyla98Zd++fSNGjBgwYMBbb7310ksvVVZWrlmzZujQoUcP27Jly4ABAyLixDfBf8wVaKvSH6EPW7ly5ejRoxcsWDBt2rRcpKcApDlCX/ziF//whz9Mnz69c+fOJy7eq1evW2+9NQePgvxKZ4r27NnTo0ePjh07VldX9+3bt1OnTnv27Hn11Ve3b9/ep0+fFStWXHbZZfl5VORQZs9lrWpqakaNGuWMRnblu5HSRtTW1k6ePLl3795lZWW9evWaOHHi1q1bjzumubn5yiuvrKysXLp06ZmtQBuW/ggd5QphMqUzQgMHDjzNibK6ujqHj4N8OuMpam5ufuaZZ66//vr+/ftXVFSUlpZ27959xIgRjzzyyP79+3P7IMinDJ7LWrlCSA64QggAAJBQbioDAACQUAohAABAQimEAAAACaUQAgAAJJRCCAAAkFAKIQAAQEIphAAAAAmlEAIAACSUQggAAJBQCiEAAEBCKYQAAAAJpRACAAAklEIIAACQUAohAABAQimEAAAACaUQAgAAJJRCCAAAkFAKIQAAQEIphAAAAAmlEAIAACSUQggAAJBQCiEAAEBCKYQAAAAJpRACAAAklEIIAACQUAohAABAQimEAAAACaUQAgAAJJRCCAAAkFAKIQAAQEIphAAAAAmlEAIAACSUQggA2fWd73ynpKSkX79+R44cyXcWADhGSSqVyncGAGiz3nvvvfPPP3/fvn0R8fzzz48ePTrfiQDgf1whBIAsWrJkyb59+zp06BAR8+bNy3ccADiGQggA2dLS0jJ//vyI+P73v19SUvLyyy9v3Lgx36EA4H8UQgDIlpqami1btvTs2XP69OnDhw8PFwkBKDAKIQBky4IFCyLixhtvLC0tnTx5ckQsW7Zsz549+c4FAO9TCAEgK7Zs2fK73/0uIlqr4DXXXHPuuec2NTU98cQT+Y4GAO9TCAEgK37605+mUqmhQ4cOHDgwIsrLy2+44YbW7fmOBgDvUwgBIPOam5t/9rOfRcSkSZOObmy9VLh58+b169fnKxgAfJhCCACZt3Llyvr6+s6dO48ZM+boxsGDB3/uc5+LiMceeyx/0QDgfxRCAMi81veFjh49ulOnTh/e3vqu0eeee66hoSE/yQDgQxRCAMiwurq63/72txExfvz443aNGzeutLS0qalp6dKl+YgGAMdQCAEgw5544olUKlVVVfXlL3/5uF1du3a9+uqrI2Lx4sX5iAYAx1AIASCTUqlU6xdLfO1rX2vfvv2JB4wbNy4iXn/99b/85S+5DgcAx1IIASCT1q9fX1tbGx8UvxONGjWqoqIiIp588smcJgOAEyiEAJBJrTWvb9++l19++UkP6NSp01e/+tWIWLZs2ZEjR3IaDgCOVZJKpfKdAQDaiIMHD1ZVVe3fv/9jHr9mzZrWjxQCQF64QggAGbNq1arWNlj+UUpKSiLiqaeeyndkABJNIQSAjHn66acjYsiQIU0fZdq0aRHxq1/96t133813agCSSyEEgMzYvXv3r3/964iYPHnyRx48YcKEiDh48OCzzz6b7WAAcCoKIQBkxjPPPNPc3FxRUTF27NiPPPiyyy675JJLwr1GAcgrhRAAMqP1A4HXXnttly5dPs7xEydOjIiXX375n//8Z3aTAcApKIQAkAFbt2595ZVXIuKmm276mD8yfvz4srKyVCrl1jIA5ItCCAAZsHTp0ojo06fP8OHDP+aPdOvWrfULCRVCAPLF9xACAAAklCuEAAAACaUQAgAAJJRCCAAAkFAKIQAAQEIphAAAAAmlEAIAACSUQggAAJBQCiEAAEBCKYQAAAAJpRACAAAklEIIAACQUAohAABAQimEAAAACaUQAgAAJJRCCAAAkFAKIQAAQEIphAAAAAmlEAIAACSUQggAAJBQCiEAAEBCKYQAAAAJpRACAAAklEIIAACQUAohAABAQimEAAAACaUQAgAAJJRCCAAAkFAKIQAAQEIphAAAAAmlEAIAACSUQggAAJBQCiEAAEBC/T+/tJra9M4uWwAAAABJRU5ErkJggg==)
## Soma de quadrados dos resíduos (menor melhor).
deviance(n0)
## [1] 12982.31
deviance(n1)
## [1] 12367.42
## R² (maior melhor).
cor(turk0$Gain, fitted(n0))^2
## [1] 0.9187919
cor(turk0$Gain, fitted(n1))^2
## [1] 0.9226382
## R² com quadro de anova.
R2nls(n0)
## $anova
## Df Sum Sq Mean Sq F value Pr(>F)
## 1 regression 2 146882.44 73441.2181 181.0248 0
## 2 residuals 32 12982.31 405.6971 NA NA
##
## $R2
## [1] 0.9187919
R2nls(n1)
## $anova
## Df Sum Sq Mean Sq F value Pr(>F)
## 1 regression 2 147497.33 73748.6628 190.8205 0
## 2 residuals 32 12367.42 386.4818 NA NA
##
## $R2
## [1] 0.9226382
##-----------------------------------------------------------------------------
## Colocar bandas de confiança.
## Modelo escrito como função dos parâmetros (theta).
f <- function(theta, xx){
with(as.list(theta), th0+th1*(1-2^(-xx/th2)))
}
## Matriz de derivadas parciais em theta (n x p).
gradient(f, x=coef(n1), xx=c(0.0, 0.2, 0.4))
## th0 th1 th2
## [1,] 1 0.0000000 0.0000
## [2,] 1 0.7593572 -627.8283
## [3,] 1 0.9420910 -302.1648
pred <- data.frame(A=seq(0, 0.5, l=20))
## pred$fit <- f(theta=coef(n1), xx=pred$A)
pred$fit <- predict(n1, newdata=pred)
der <- gradient(f, x=coef(n1), xx=pred$A)
str(der)
## num [1:20, 1:3] 1 1 1 1 1 ...
## - attr(*, "dimnames")=List of 2
## ..$ : NULL
## ..$ : chr [1:3] "th0" "th1" "th2"
## Etapas até o IC passando pelo erro padrão e margem de erro.
F <- der
U <- chol(vcov(n1))
pred$se <- sqrt(apply(F%*%t(U), 1, function(x) sum(x^2)))
tval <- qt(p=c(lwr=0.025, upr=0.975), df=df.residual(n1))
me <- outer(pred$se, tval, "*")
pred <- cbind(pred, sweep(me, 1, pred$fit, "+"))
str(pred)
## 'data.frame': 20 obs. of 5 variables:
## $ A : num 0 0.0263 0.0526 0.0789 0.1053 ...
## $ fit: num 623 653 679 700 717 ...
## $ se : num 5.9 4.4 4.76 5.34 5.61 ...
## $ lwr: num 611 644 669 689 706 ...
## $ upr: num 635 662 688 710 728 ...
## Equação do modelo ajustado.
coef(n1)
## th0 th1 th2
## 622.95806090 178.25192693 0.09732197
formula(n1)
## Gain ~ th0 + th1 * (1 - 2^(-A/th2))
## Arredonda as estimativas.
theta <- mapply(round,
x=coef(n1), digits=c(2,2,4),
SIMPLIFY=FALSE)
theta
## $th0
## [1] 622.96
##
## $th1
## [1] 178.25
##
## $th2
## [1] 0.0973
## Equação.
formula(n1)
## Gain ~ th0 + th1 * (1 - 2^(-A/th2))
eq <- substitute(
expr=expression(Gain==th0+th1*(1-2^(-A/th2))),
env=theta)
eval(eq)
## expression(Gain == 622.96 + 178.25 * (1 - 2^(-A/0.0973)))
## Observados, preditos e a banda de confiança.
xyplot(Gain~A, data=turk0)+
as.layer(xyplot(fit~A, data=pred, type="l",
prepanel=prepanel.cbH, cty="bands",
ly=pred$lwr, uy=pred$upr,
panel=panel.cbH))+
layer(panel.key(points=FALSE, text=eval(eq),
corner=c(0.95,0.05)))
![](data:image/png;base64,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)
##-----------------------------------------------------------------------------
## Região de confiança para os parâmetros.
apropos("contour")
ncp0 <- nlsContourRSS(n0)
ncp1 <- nlsContourRSS(n1)
plot(ncp0)
plot(ncp1)
ncr0 <- nlsConfRegions(n0)
ncr1 <- nlsConfRegions(n1)
plot(ncr0)
plot(ncr1)
Consumo de energia em função da temperatura
##-----------------------------------------------------------------------------
## Consumo de energia (KWH/dia) em função da temperatura (F).
str(segreg)
## 'data.frame': 39 obs. of 2 variables:
## $ Temp: num 8.55 10.66 12.45 16.9 20.52 ...
## $ C : num 86.2 72.4 74.1 68.2 72.4 ...
xyplot(C~Temp, data=segreg, type=c("p","smooth"))
![](data:image/png;base64,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)
##-----------------------------------------------------------------------------
## Ajuste do modelo platô linear.
## f(x) = th0+th1*(x-th2)*(x>=th2)+0*(x<th2)
start <- list(th0=75, th1=0.5, th2=50)
xyplot(C~Temp, data=segreg)+
layer(with(start,
panel.curve(th0+th1*(x-th2)*(x>=th2)+0*(x<th2))))
![](data:image/png;base64,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)
## Ajuste.
n2 <- nls(C~th0+th1*(Temp-th2)*(Temp>=th2)+0*(Temp<th2),
data=segreg, start=start)
## Estimativas e medidas de ajuste.
summary(n2)
##
## Formula: C ~ th0 + th1 * (Temp - th2) * (Temp >= th2) + 0 * (Temp < th2)
##
## Parameters:
## Estimate Std. Error t value Pr(>|t|)
## th0 74.6953 1.3433 55.607 < 2e-16 ***
## th1 0.5674 0.1006 5.641 2.10e-06 ***
## th2 41.9512 4.6583 9.006 9.44e-11 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 5.373 on 36 degrees of freedom
##
## Number of iterations to convergence: 4
## Achieved convergence tolerance: 9.323e-09
## Valor de F e R².
R2nls(n2)
## $anova
## Df Sum Sq Mean Sq F value Pr(>F)
## 1 regression 2 2098.134 1049.0670 36.33724 2.307536e-09
## 2 residuals 36 1039.331 28.8703 NA NA
##
## $R2
## [1] 0.6687355
## Intervalos de confiança.
## confint(n2)
confint.default(n2)
## 2.5 % 97.5 %
## th0 72.0625625 77.3281125
## th1 0.3702916 0.7645672
## th2 32.8212170 51.0812374
## Observados e preditos.
xyplot(C~Temp, data=segreg)+
layer(with(as.list(coef(n2)),
panel.curve(th0+th1*(x-th2)*(x>=th2)+0*(x<th2), col=2)))
![](data:image/png;base64,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)
##-----------------------------------------------------------------------------
## Análise dos resíduos.
m2 <- as.lm(n2)
par(mfrow=c(2,2)); plot(m2); layout(1)
![](data:image/png;base64,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)
##-----------------------------------------------------------------------------
## Colocar bandas de confiança.
f <- function(theta, xx){
with(as.list(theta), th0+th1*(xx-th2)*(xx>=th2)+0*(xx<th2))
}
## gradient(f, x=coef(n1), xx=c(0.0, 0.2, 0.4))
pred <- data.frame(Temp=sort(c(seq(10, 80, l=100),
coef(n2)["th2"]+c(-0.001,0,0.001))))
pred$fit <- predict(n2, newdata=pred)
der <- gradient(f, x=coef(n2), xx=pred$Temp)
str(der)
## num [1:103, 1:3] 1 1 1 1 1 ...
## - attr(*, "dimnames")=List of 2
## ..$ : NULL
## ..$ : chr [1:3] "th0" "th1" "th2"
F <- der
U <- chol(vcov(n2))
pred$se <- sqrt(apply(F%*%t(U), 1, function(x) sum(x^2)))
tval <- qt(p=c(lwr=0.025, upr=0.975), df=df.residual(n2))
me <- outer(pred$se, tval, "*")
pred <- cbind(pred, sweep(me, 1, pred$fit, "+"))
str(pred)
## 'data.frame': 103 obs. of 5 variables:
## $ Temp: num 10 10.7 11.4 12.1 12.8 ...
## $ fit : num 74.7 74.7 74.7 74.7 74.7 ...
## $ se : num 1.34 1.34 1.34 1.34 1.34 ...
## $ lwr : num 72 72 72 72 72 ...
## $ upr : num 77.4 77.4 77.4 77.4 77.4 ...
## Equação do modelo ajustado.
coef(n2)
## th0 th1 th2
## 74.6953375 0.5674294 41.9512272
formula(n2)
## C ~ th0 + th1 * (Temp - th2) * (Temp >= th2) + 0 * (Temp < th2)
## Arredonda as estimativas.
theta <- mapply(round,
x=coef(n2), digits=c(2,4,2),
SIMPLIFY=FALSE)
theta
## $th0
## [1] 74.7
##
## $th1
## [1] 0.5674
##
## $th2
## [1] 41.95
## Equação.
formula(n2)
## C ~ th0 + th1 * (Temp - th2) * (Temp >= th2) + 0 * (Temp < th2)
eq <- substitute(
expr=c(
expression(C==th0~", se"~Temp<th2),
expression(C==th0+th1*(Temp-th2)~", se"~Temp>=th2)),
env=theta)
eval(eq)
## expression(C == 74.7 ~ ", se" ~ Temp < 41.95, C == 74.7 + 0.5674 *
## (Temp - 41.95) ~ ", se" ~ Temp >= 41.95)
## Observados, preditos e a banda de confiança.
xyplot(C~Temp, data=segreg)+
as.layer(xyplot(fit~Temp, data=pred, type="l",
prepanel=prepanel.cbH, cty="bands",
ly=pred$lwr, uy=pred$upr,
panel=panel.cbH))+
layer(panel.key(points=FALSE, text=eval(eq),
corner=c(0.05,0.95)))
![](data:image/png;base64,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)
Tamanho em função da idade para peixes
##-----------------------------------------------------------------------------
## Tamanho em função da idade dos peixes.
str(lakemary)
## 'data.frame': 78 obs. of 2 variables:
## $ Age : int 1 1 2 2 2 2 3 3 3 3 ...
## $ Length: int 67 62 109 83 91 88 137 131 122 122 ...
xyplot(Length~Age, data=lakemary, xlim=c(0,NA), ylim=c(0,NA))
![](data:image/png;base64,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)
## Ajustar o modelo von Bertalanffy.
## Original: tha*(1-exp(-thk*(x-thi)));
## Alternativo: th0+(tha-th0)*(1-2^(-x/thv));
start <- list(th0=30, tha=250, thv=3)
xyplot(Length~Age, data=lakemary)+
layer(with(start,
panel.curve(th0+(tha-th0)*(1-2^(-x/thv)), col=2)))
![](data:image/png;base64,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)
n3 <- nls(Length~th0+(tha-th0)*(1-2^(-Age/thv)),
data=lakemary, start=start)
summary(n3)
##
## Formula: Length ~ th0 + (tha - th0) * (1 - 2^(-Age/thv))
##
## Parameters:
## Estimate Std. Error t value Pr(>|t|)
## th0 -6.4397 20.3820 -0.316 0.753
## tha 192.8109 13.0804 14.740 < 2e-16 ***
## thv 1.7061 0.3714 4.593 1.73e-05 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 10.96 on 75 degrees of freedom
##
## Number of iterations to convergence: 5
## Achieved convergence tolerance: 6.047e-06
## confint(n3)
confint.default(n3)
## 2.5 % 97.5 %
## th0 -46.3876668 33.508328
## tha 167.1738835 218.447950
## thv 0.9781027 2.434099
xyplot(Length~Age, data=lakemary, xlim=c(0,NA), ylim=c(0,NA))+
layer(with(as.list(coef(n3)),
panel.curve(th0+(tha-th0)*(1-2^(-x/thv)), col=2)))
![](data:image/png;base64,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)
Abundância de peixes
##-----------------------------------------------------------------------------
str(swan96)
## 'data.frame': 27 obs. of 2 variables:
## $ Day : int 0 1 2 34 35 36 37 55 56 57 ...
## $ LCPUE: num 0.368 0.636 0 1.358 0.847 ...
xyplot(LCPUE~Day, data=swan96)
![](data:image/png;base64,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)
## Swan Lake, Minnesota, 1996.
## LCPUE: log da quantidade de peixes por unidade de esforço.
## Day: dia de pesça.
m0 <- lm(LCPUE~Day+I(Day^2), swan96)
c0 <- coef(m0)
names(c0) <- sprintf("b%i", 0:2)
xyplot(LCPUE~Day, data=swan96)+
layer(with(as.list(c0),
panel.curve(b0+b1*x+b2*x^2, col=2)))
![](data:image/png;base64,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)
## Estimar o dia correspondente ao máximo.
with(as.list(c0), -0.5*b1/b2)
## [1] 183.1104
## E o intervalo de confiança? Método delta?
n4 <- nls(LCPUE~thy+thc*(Day-thx)^2, data=swan96,
start=list(thy=4, thx=180, thc=c0["b2"]))
summary(n4)
##
## Formula: LCPUE ~ thy + thc * (Day - thx)^2
##
## Parameters:
## Estimate Std. Error t value Pr(>|t|)
## thy 4.359e+00 2.062e-01 21.142 < 2e-16 ***
## thx 1.831e+02 5.961e+00 30.716 < 2e-16 ***
## thc -1.273e-04 1.678e-05 -7.583 8.03e-08 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.5716 on 24 degrees of freedom
##
## Number of iterations to convergence: 2
## Achieved convergence tolerance: 3.301e-09
## confint(n4)
confint.default(n4)
## 2.5 % 97.5 %
## thy 3.954959e+00 4.763178e+00
## thx 1.714262e+02 1.947947e+02
## thc -1.601526e-04 -9.436730e-05
##-----------------------------------------------------------------------------
## Ajuste do modelo linear com dois segmentos.
## Modelo:
## f(x) = th0+ th1*x, se x<th2
## = (th0+th1*th2)+th3*(x-th2), se x>=th2
start <- list(th0=0.3, th1=3/100, th2=150, th3=-1/100)
xyplot(LCPUE~Day, data=swan96)+
layer(with(start,
panel.curve(th0+th1*x*(x<th2)+
(th1*th2+th3*(x-th2))*(x>=th2), col=2)))
![](data:image/png;base64,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)
n5 <- nls(LCPUE~th0+th1*Day*(Day<th2)+(th1*th2+th3*(Day-th2))*(Day>=th2),
data=swan96, start=start)
summary(n5)
##
## Formula: LCPUE ~ th0 + th1 * Day * (Day < th2) + (th1 * th2 + th3 * (Day -
## th2)) * (Day >= th2)
##
## Parameters:
## Estimate Std. Error t value Pr(>|t|)
## th0 0.082586 0.230142 0.359 0.723
## th1 0.037893 0.004151 9.128 4.15e-09 ***
## th2 103.620897 8.706149 11.902 2.60e-11 ***
## th3 -0.003786 0.001813 -2.088 0.048 *
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.4689 on 23 degrees of freedom
##
## Number of iterations to convergence: 4
## Achieved convergence tolerance: 2.496e-07
## confint(n5)
confint.default(n5)
## 2.5 % 97.5 %
## th0 -0.368483065 5.336560e-01
## th1 0.029756680 4.602965e-02
## th2 86.557159102 1.206846e+02
## th3 -0.007339894 -2.327923e-04
xyplot(LCPUE~Day, data=swan96)+
layer(with(as.list(coef(n5)),
panel.curve(th0+th1*x*(x<th2)+
(th1*th2+th3*(x-th2))*(x>=th2), col=2)))
![](data:image/png;base64,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)
##-----------------------------------------------------------------------------
## Regiões de confiança conjunta por simulação: aceitação/rejeição.
rc <- nlsConfRegions(n5, exp=1.5, length=500)
plot(rc)
formula(n4)
rc <- nlsConfRegions(n4, exp=2.5, length=500)
plot(rc)
rc <- nlsConfRegions(n2, exp=2.5, length=500)
plot(rc)
Ajuste de modelos de forma interativa
##-----------------------------------------------------------------------------
## Exemplos da documentação.
help(rp.nls, h="html")
##--------------------------------------------
## A simple linear regression.
rp.nls(model=dist~b0+b1*speed,
data=cars,
start=list(
b0=c(init=0, from=-20, to=20),
b1=c(init=2, from=0, to=10)),
assignTo="cars.fit")
cars.fit
##--------------------------------------------
## A more interesting example.
xyplot(rate~conc, groups=state, data=Puromycin)
rp.nls(model=rate~Int+(Top-Int)*conc/(Half+conc),
data=Puromycin,
start=list(
Int=c(init=50, from=20, to=70),
Top=c(init=150, from=100, to=200),
Half=c(init=0.1, from=0, to=0.6)),
subset="state",
assignTo="Puro.fit",
startCurve=list(col=3, lty=3, lwd=1),
fittedCurve=list(col=4, lty=1, lwd=1.5),
extraplot=function(Int, Top, Half){
abline(h=c(Int, Top), v=Half, col=2, lty=2)
},
finalplot=function(Int, Top, Half){
abline(h=c(Int, Top), v=Half, col=3, lty=1)
},
xlab="Concentration",
ylab="Rate",
xlim=c(0, 1.2),
ylim=c(40, 220))
length(Puro.fit)
sapply(Puro.fit, coef)
sapply(Puro.fit, logLik)
sapply(Puro.fit, deviance)
##-----------------------------------------------------------------------------
## 1. Ajuste de curvas de retenção de água do solo.
cra <- read.table("http://www.leg.ufpr.br/~walmes/data/cra_manejo.txt",
header=TRUE, sep="\t")
cra$tens[cra$tens==0] <- 0.1
cras <- subset(cra, condi=="LVA3,5")
cras <- aggregate(umid~posi+prof+tens, data=cras, FUN=mean)
cras$caso <- with(cras, interaction(posi, prof))
cras$ltens <- log(cras$tens)
xyplot(umid~ltens|posi, groups=prof, data=cras, type=c("p","a"))
## modelo: van Genuchten com retrição de Mualem.
## x: representado por ltens (log da tensão matricial, psi).
## y: representado por umid, conteúdo de água do solo (%).
## th1: assíntota inferior, mínimo da função, quando x -> +infinito.
## th2: assíntota superior, máximo da função, quando x -> -infinito.
## th3: locação, translada o ponto de inflexão.
## th4: forma, altera a taxa ao redor da inflexão.
model <- umid~Ur+(Us-Ur)/(1+exp(n*(al+ltens)))^(1-1/n)
start <- list(Ur=c(init=0.2, from=0, to=0.5),
Us=c(init=0.6, from=0.4, to=0.8),
al=c(1, -2, 4),
n=c(1.5, 1, 4))
rp.nls(model=model, data=cras,
start=start, subset="caso",
assignTo="cra.fit")
sapply(cra.fit, coef)
##-----------------------------------------------------------------------------
## 2. Curva de produção em função da desfolha do algodão.
cap <- read.table("http://www.leg.ufpr.br/~walmes/data/algodão.txt",
header=TRUE, sep="\t", encoding="latin1")
cap$desf <- cap$desf/100
cap <- subset(cap, select=c(estag, desf, pcapu))
cap$estag <- factor(cap$estag, labels=c("vegetativo","botão floral",
"florescimento","maçã","capulho"))
str(cap)
xyplot(pcapu~desf|estag, data=cap, layout=c(5,1),
xlab="Nível de desfolha artificial", ylab="Peso de capulhos")
## modelo: potência.
## x: representado por desf (nível de desfolha artifical).
## y: representado por pcapu (peso de capulhos), produto do algodão.
## th1: intercepto, valor da função quando x=0 (situação ótima).
## th2: diferença no valor da função para x=0 e x=1 (situação extrema).
## th3: forma, indica como a função decresce, se th3=0 então função linear.
model <- pcapu~f0-delta*desf^exp(curv)
start <- list(f0=c(30,25,35), delta=c(8,0,16), curv=c(0,-2,4))
rp.nls(model=model, data=cap,
start=start, subset="estag",
assignTo="cap.fit")
model <- pcapu~f0-f1*desf^((log(5)-log(f1))/log(xde))
start <- list(f0=c(30,25,35), f1=c(8,0,16), xde=c(0.5,0,1))
x11()
rp.nls(model=model, data=cap,
start=start, subset="estag",
assignTo="cap.fit",
extraplot=function(f0,f1,xde){
abline(v=xde, h=c(f0, f0-f1), lty=2, col=2)
})
length(cap.fit)
sapply(cap.fit, coef)
lapply(cap.fit, summary)
##-----------------------------------------------------------------------------
## 3. Curva de produção em função do nível de potássio no solo.
soja <- read.table("http://www.leg.ufpr.br/~walmes/data/soja.txt",
header=TRUE, sep="\t", encoding="latin1", dec=",")
soja$agua <- factor(soja$agua)
str(soja)
xyplot(rengrao~potassio|agua, data=soja)
## modelo: linear-plato.
## x: representado por potássio, conteúdo de potássio do solo.
## y: representado por rengrao, redimento de grãos por parcela.
## f0: intercepto, valor da função quando x=0.
## tx: taxa de incremento no rendimento por unidade de x.
## brk: valor acima do qual a função é constante.
model <- rengrao~f0+tx*potassio*(potassio<brk)+tx*brk*(potassio>=brk)
start <- list(f0=c(15,5,25), tx=c(0.2,0,1), brk=c(50,0,180))
rp.nls(model=model, data=soja,
start=start, subset="agua",
assignTo="pot.fit")
sapply(pot.fit, coef)
##-----------------------------------------------------------------------------
## 4. Curva de lactação.
lac <- read.table("http://www.leg.ufpr.br/~walmes/data/saxton_lactacao1.txt",
header=TRUE, sep="\t", encoding="latin1")
lac$vaca <- factor(lac$vaca)
str(lac)
xyplot(leite~dia|vaca, data=lac)
## modelo: de Wood (nucleo da densidade gama).
## x: representado por dia, dia após parto.
## y: representado por leite, quantidade produzida.
## th1: escala, desprovido de interpretação direta.
## th2: forma, desprovido de interpretação direta.
## th3: forma, desprovido de interpretação direta.
model <- leite~th1*dia^th2*exp(-th3*dia)
start <- list(th1=c(15,10,20), th2=c(0.2,0.05,0.5),
th3=c(0.0025,0.0010,0.0080))
rp.nls(model=model, data=lac,
start=start, subset="vaca",
assignTo="lac.fit", xlim=c(0,310))
sapply(lac.fit, coef)
##-----------------------------------------------------------------------------
## 5. Curvas de crescimento em placa de petri.
cre <- read.table("http://www.leg.ufpr.br/~walmes/data/cresmicelial.txt",
header=TRUE, sep="\t", encoding="latin1")
cre$isolado <- factor(cre$isolado)
cre$mmdia <- sqrt(cre$mmdia)
str(cre)
xyplot(mmdia~temp|isolado, data=cre)
## modelo: quadrático na forma canônica.
## x: representado por temp, temperatura da câmara de crescimento.
## y: representado por mmdia, taxa média de crescimento.
## thy: valor da função no ponto de máximo.
## thc: curvatura ou grau de especificidade à condição ótima.
## thx: ponto de máximo, temperatura de crescimento mais rápido.
model <- mmdia~thy+thc*(temp-thx)^2
start <- list(thy=c(4,0,7), thc=c(-0.05,0,-0.5), thx=c(23,18,30))
rp.nls(model=model, data=cre,
start=start, subset="isolado",
assignTo="mic.fit",
extraplot=function(thy, thx, thc){
abline(v=thx, h=thy, lty=2, col=2)
},
xlim=c(17,31), ylim=c(0,6))
t(sapply(mic.fit, coef))
##-----------------------------------------------------------------------------
## 6. Curva de secagem do solo em microondas.
sec <- read.table("http://www.leg.ufpr.br/~walmes/data/emr11.txt",
header=TRUE, sep="\t", encoding="latin1")
str(sec)
xyplot(umrel~tempo|nome, data=sec)
## modelo: logístico.
## x: representado por tempo, período da amostra dentro do microondas.
## y: representado por umrel, umidade relativa o conteúdo total de água.
## th1: assíntota superior.
## th2: tempo para evaporar metade do conteúdo total de água.
## th3: proporcional à taxa máxima do processo.
model <- umrel~th1/(1+exp(-(tempo-th2)/th3))
start <- list(th1=c(1,0.8,1.2), th2=c(15,0,40), th3=c(8,2,14))
rp.nls(model=model, data=sec,
start=start, subset="nome",
assignTo="sec.fit",
extraplot=function(th1, th2, th3){
abline(v=th2, h=th1/(1:2), lty=2, col=2)
})
sapply(sec.fit, coef)
lapply(sec.fit, summary)
##-----------------------------------------------------------------------------
## Informações da sessão.
Sys.time()
## [1] "2014-12-11 20:59:59 BRST"
sessionInfo()
## R version 3.1.2 (2014-10-31)
## Platform: i686-pc-linux-gnu (32-bit)
##
## locale:
## [1] LC_CTYPE=en_US.UTF-8 LC_NUMERIC=C LC_TIME=pt_BR.UTF-8
## [4] LC_COLLATE=en_US.UTF-8 LC_MONETARY=pt_BR.UTF-8 LC_MESSAGES=en_US.UTF-8
## [7] LC_PAPER=pt_BR.UTF-8 LC_NAME=C LC_ADDRESS=C
## [10] LC_TELEPHONE=C LC_MEASUREMENT=pt_BR.UTF-8 LC_IDENTIFICATION=C
##
## attached base packages:
## [1] stats graphics grDevices utils datasets base
##
## other attached packages:
## [1] wzRfun_0.4 plyr_1.8.1 rootSolve_1.6.5.1 nlstools_1.0-0
## [5] nls2_0.2 proto_0.3-10 alr3_2.0.5 car_2.0-22
## [9] reshape_0.8.5 latticeExtra_0.6-26 RColorBrewer_1.0-5 lattice_0.20-29
## [13] rmarkdown_0.3.3 knitr_1.8
##
## loaded via a namespace (and not attached):
## [1] digest_0.6.4 doBy_4.5-12 evaluate_0.5.5 formatR_1.0 grid_3.1.2
## [6] htmltools_0.2.6 MASS_7.3-35 Matrix_1.1-4 methods_3.1.2 multcomp_1.3-7
## [11] mvtnorm_1.0-1 nnet_7.3-8 Rcpp_0.11.3 sandwich_2.3-2 splines_3.1.2
## [16] stringr_0.6.2 survival_2.37-7 TH.data_1.0-5 tools_3.1.2 yaml_2.1.13
## [21] zoo_1.7-11