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@arsilva87
Created March 12, 2021 17:16
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"<img align=\"right\" src = \"https://raw.githubusercontent.com/arsilva87/statsbook/main/figs/figura_thumbnail.png\" width=\"25%\" height=\"25%\">\n",
"\n",
"Códigos em R do livro: **Estatística Decodificada** (Silva, A.R. 2021) \n",
"\n",
"Capítulo 12: **Regressão**\n",
"____"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Regressão linear simples**\n",
"\n",
"$y_i = b_0 + b_1x_i + \\epsilon_i$"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
" The decimal point is at the |\n",
"\n",
" 0 | 47\n",
" 1 | 0001445566668899\n",
" 2 | 00000111112234455555667788999\n",
" 3 | 000011222334444778\n",
" 4 | 0002334446788\n",
" 5 | 2277\n",
" 6 | 25\n",
"\n"
]
}
],
"source": [
"# Dados\n",
"solo <- read.csv(\"https://raw.githubusercontent.com/arsilva87/statsbook/main/datasets/camadassolo.csv\", header = TRUE)\n",
"stem(solo$RP)"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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/6XnMLFpHUPw5+aK5PnkHw7ClmXnO1gznbjvYmjszTHV6S8ujTv5VFLHvLZ21Aw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\nICQAAggJgABCAiCAkAAIICQAAv8HiKu+cdEo7FIAAAAASUVORK5CYII=",
"text/plain": [
"plot without title"
]
},
"metadata": {
"image/png": {
"height": 420,
"width": 420
},
"text/plain": {
"height": 420,
"width": 420
}
},
"output_type": "display_data"
}
],
"source": [
"plot(RP ~ DS, data = solo)"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"\n",
"Call:\n",
"lm(formula = RP ~ DS, data = solo)\n",
"\n",
"Coefficients:\n",
"(Intercept) DS \n",
" -19.62 13.49 \n"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Ajuste do modelo\n",
"m1 <- lm(RP ~ DS, data = solo)\n",
"m1"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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s2S+fPFx0e/yYoGih0AAIbHxMSkGLY6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\nNTU8PDwqKiooKEhhNgCABrBiBw3as0eGD5cBA+TTT8XUrmleu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NGjR4+aQTs7u0GDBokIxc7EnT59evfu3a6urkOHDlWdBXeSlJS0ePHi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\n7BtasbcAAAAASUVORK5CYII=",
"text/plain": [
"plot without title"
]
},
"metadata": {
"image/png": {
"height": 420,
"width": 420
},
"text/plain": {
"height": 420,
"width": 420
}
},
"output_type": "display_data"
}
],
"source": [
"plot(RP ~ DS, data = solo)\n",
"abline(m1, col = \"blue\")"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
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],
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" 31 32 33 34 35 36 \n",
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},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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"[1] 1.078998e-15"
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},
"metadata": {},
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{
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"[1] 29.05909"
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},
"metadata": {},
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}
],
"source": [
"res <- residuals(m1) # resíduos ordinários do modelo\n",
"res\n",
"sum(res) # soma = 0\n",
"sum(res^2) # soma de quadrados dos resíduos"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"550.189800000001"
],
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"550.189800000001"
],
"text/markdown": [
"550.189800000001"
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"[1] 550.1898"
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},
"metadata": {},
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},
{
"data": {
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],
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"[1] 90.2454"
]
},
"metadata": {},
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}
],
"source": [
"# somas de quadrados de resíduos com \n",
"# ...b1 = 12\n",
"res.12 <- solo$RP - (-19.62 + 12 * solo$DS)\n",
"sum(res.12^2)\n",
"\n",
"# ...b1 = 14\n",
"res.14 <- solo$RP - (-19.62 + 14 * solo$DS)\n",
"sum(res.14^2)"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
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vTGW9OmTfvhhx9MHwmAnDB5AgDFru24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\nAAAY4v8BM9fhqQvIqqUAAAAASUVORK5CYII=",
"text/plain": [
"plot without title"
]
},
"metadata": {
"image/png": {
"height": 420,
"width": 420
},
"text/plain": {
"height": 420,
"width": 420
}
},
"output_type": "display_data"
}
],
"source": [
"# gráfico da SQ resíduos em função de b1\n",
"b1 <- seq(10, 16, length.out = 100) # sequência de 100 valores supostos para b1\n",
"SQR <- c()\n",
"for(i in 1:100) {\n",
" res. <- solo$RP - (-19.62 + b1[i] * solo$DS)\n",
" SQR[i] <- sum(res.^2)\n",
"}\n",
"plot(SQR ~ b1)\n",
"abline(h = 29.06, v = 13.49, lty = 2, col = \"red\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"*Coeficiente de determinação*"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"library(soilphysics)\n",
"Rsq(m1)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"*Independência e normalidade residual*"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"# Teste de Durbin-Watson\n",
"library(car)\n",
"dwt(m1)"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"\n",
"\tShapiro-Wilk normality test\n",
"\n",
"data: resid\n",
"W = 0.96404, p-value = 0.01908\n"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Teste de Shapiro-Wilk\n",
"resid <- residuals(m1)\n",
"shapiro.test(resid)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"*Análise de variância da regressão*\n",
"\n",
"$H_0: b_1 = 0$"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<table>\n",
"<caption>A anova: 2 × 5</caption>\n",
"<thead>\n",
"\t<tr><th></th><th scope=col>Df</th><th scope=col>Sum Sq</th><th scope=col>Mean Sq</th><th scope=col>F value</th><th scope=col>Pr(&gt;F)</th></tr>\n",
"\t<tr><th></th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th></tr>\n",
"</thead>\n",
"<tbody>\n",
"\t<tr><th scope=row>DS</th><td> 1</td><td>108.24983</td><td>108.2498324</td><td>305.4633</td><td>2.202326e-29</td></tr>\n",
"\t<tr><th scope=row>Residuals</th><td>82</td><td> 29.05909</td><td> 0.3543792</td><td> NA</td><td> NA</td></tr>\n",
"</tbody>\n",
"</table>\n"
],
"text/latex": [
"A anova: 2 × 5\n",
"\\begin{tabular}{r|lllll}\n",
" & Df & Sum Sq & Mean Sq & F value & Pr(>F)\\\\\n",
" & <int> & <dbl> & <dbl> & <dbl> & <dbl>\\\\\n",
"\\hline\n",
"\tDS & 1 & 108.24983 & 108.2498324 & 305.4633 & 2.202326e-29\\\\\n",
"\tResiduals & 82 & 29.05909 & 0.3543792 & NA & NA\\\\\n",
"\\end{tabular}\n"
],
"text/markdown": [
"\n",
"A anova: 2 × 5\n",
"\n",
"| <!--/--> | Df &lt;int&gt; | Sum Sq &lt;dbl&gt; | Mean Sq &lt;dbl&gt; | F value &lt;dbl&gt; | Pr(&gt;F) &lt;dbl&gt; |\n",
"|---|---|---|---|---|---|\n",
"| DS | 1 | 108.24983 | 108.2498324 | 305.4633 | 2.202326e-29 |\n",
"| Residuals | 82 | 29.05909 | 0.3543792 | NA | NA |\n",
"\n"
],
"text/plain": [
" Df Sum Sq Mean Sq F value Pr(>F) \n",
"DS 1 108.24983 108.2498324 305.4633 2.202326e-29\n",
"Residuals 82 29.05909 0.3543792 NA NA"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"anova(m1)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"*Teste t*\n",
"\n",
"$H_0: b_j = 0$"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"\n",
"Call:\n",
"lm(formula = RP ~ DS, data = solo)\n",
"\n",
"Residuals:\n",
" Min 1Q Median 3Q Max \n",
"-1.3153 -0.4391 -0.1104 0.3594 2.1547 \n",
"\n",
"Coefficients:\n",
" Estimate Std. Error t value Pr(>|t|) \n",
"(Intercept) -19.6177 1.2905 -15.20 <2e-16 ***\n",
"DS 13.4882 0.7717 17.48 <2e-16 ***\n",
"---\n",
"Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n",
"\n",
"Residual standard error: 0.5953 on 82 degrees of freedom\n",
"Multiple R-squared: 0.7884,\tAdjusted R-squared: 0.7858 \n",
"F-statistic: 305.5 on 1 and 82 DF, p-value: < 2.2e-16\n"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"summary(m1)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"*Intervalo de confiança e de predição*"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"data": {
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3Xr1jk7O48ePfrcuXNdunQRbmxnZ1ez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o0wdduiAsrOqq7sqVKwMHDtTV1Q0KChL89azYrEP35ccAACAASURBVKwsqfJborRs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\nTkSuQmCC",
"text/plain": [
"plot without title"
]
},
"metadata": {
"image/png": {
"height": 420,
"width": 420
},
"text/plain": {
"height": 420,
"width": 420
}
},
"output_type": "display_data"
}
],
"source": [
"new <- data.frame(DS = seq(min(solo$DS), max(solo$DS), len = 99)) # sequência de valores de DS (eixo x) para predição\n",
"ic <- predict(m1, newdata = new, interval = \"confidence\") # limites inferior e superior do IC 95%\n",
"ip <- predict(m1, newdata = new, interval = \"prediction\") # limites inferior e superior do IP 95%\n",
"plot(RP ~ DS, data = solo)\n",
"matlines(new$DS, ic, col = c(\"black\", \"red\", \"red\"), lty = 2) # gráfico de múltiplas linhas\n",
"matlines(new$DS, ip, col = c(\"black\", \"blue\", \"blue\"), lty = 3)\n",
"legend(\"topleft\", c(\"confianca\", \"predicao\"), \n",
" title = \"Intervalo de\", lty = 2:3, \n",
" col = c(\"red\", \"blue\"), cex = 0.8)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"____\n",
"**Regressão linear múltipla**\n",
"\n",
"$y = b_0 + b_1x_1 + b_2x_2 + ... + b_jx_j + \\epsilon$"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"\n",
"Call:\n",
"lm(formula = RP ~ DS + US + CO + Argila, data = solo)\n",
"\n",
"Residuals:\n",
" Min 1Q Median 3Q Max \n",
"-1.23224 -0.41100 -0.04888 0.32306 1.74196 \n",
"\n",
"Coefficients:\n",
" Estimate Std. Error t value Pr(>|t|) \n",
"(Intercept) -11.42886 2.59128 -4.411 3.22e-05 ***\n",
"DS 9.56573 1.56371 6.117 3.43e-08 ***\n",
"US -0.22656 0.05022 -4.512 2.21e-05 ***\n",
"CO 0.00607 0.01585 0.383 0.703 \n",
"Argila 0.02524 0.05057 0.499 0.619 \n",
"---\n",
"Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n",
"\n",
"Residual standard error: 0.532 on 79 degrees of freedom\n",
"Multiple R-squared: 0.8371,\tAdjusted R-squared: 0.8289 \n",
"F-statistic: 101.5 on 4 and 79 DF, p-value: < 2.2e-16\n"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"m2 <- lm(RP ~ DS + US + CO + Argila, data = solo)\n",
"summary(m2)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"*Diagnóstico de colinearidade*"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"1472029.36916037"
],
"text/latex": [
"1472029.36916037"
],
"text/markdown": [
"1472029.36916037"
],
"text/plain": [
"[1] 1472029"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"X <- model.matrix(m2) # matriz do modelo\n",
"M <- t(X) %*% X\n",
"autoval <- eigen(M)$values # autovalores\n",
"max(autoval)/min(autoval) # NC"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"library(car)\n",
"vif(m2)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"*Stepwise*"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Start: AIC=-101.17\n",
"RP ~ DS + US + CO + Argila\n",
"\n",
" Df Sum of Sq RSS AIC\n",
"- CO 1 0.0415 22.403 -103.017\n",
"- Argila 1 0.0705 22.432 -102.908\n",
"<none> 22.361 -101.173\n",
"- US 1 5.7615 28.123 -83.916\n",
"- DS 1 10.5924 32.954 -70.600\n",
"\n",
"Step: AIC=-103.02\n",
"RP ~ DS + US + Argila\n",
"\n",
" Df Sum of Sq RSS AIC\n",
"- Argila 1 0.0387 22.441 -104.872\n",
"<none> 22.403 -103.017\n",
"- US 1 6.0633 28.466 -84.897\n",
"- DS 1 10.6293 33.032 -72.400\n",
"\n",
"Step: AIC=-104.87\n",
"RP ~ DS + US\n",
"\n",
" Df Sum of Sq RSS AIC\n",
"<none> 22.441 -104.872\n",
"- US 1 6.6177 29.059 -85.165\n",
"- DS 1 27.1590 49.600 -40.253\n"
]
},
{
"data": {
"text/plain": [
"\n",
"Call:\n",
"lm(formula = RP ~ DS + US, data = solo)\n",
"\n",
"Coefficients:\n",
"(Intercept) DS US \n",
" -11.646 9.910 -0.214 \n"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"step(m2)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"*Construindo superfícies de resposta*"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [
{
"data": {
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kPdvf5cKRYTHrp64sIEdi6f0WmIZFRn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\nhuOVrapoCAAAAABJRU5ErkJggg==",
"text/plain": [
"plot without title"
]
},
"metadata": {
"image/png": {
"height": 420,
"width": 420
},
"text/plain": {
"height": 420,
"width": 420
}
},
"output_type": "display_data"
}
],
"source": [
"library(plot3D)\n",
"with(solo, points3D(x = DS, y = US, z = RP, \n",
" phi = 0, bty = \"g\", pch = 20, ticktype = \"detailed\",\n",
" xlab=\"Densidade\", ylab=\"Umidade\", zlab=\"RP (MPa)\", col=1))"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"\n",
"Call:\n",
"lm(formula = RP ~ DS + US, data = solo)\n",
"\n",
"Coefficients:\n",
"(Intercept) DS US \n",
" -11.646 9.910 -0.214 \n"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"m2 <- lm(RP ~ DS + US, data = solo) # modelo selecionado via stepwise\n",
"m2"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {},
"outputs": [],
"source": [
"xy <- mesh(x=seq(min(solo$DS), max(solo$DS), length=50), # grid de predição\n",
" y=seq(min(solo$US), max(solo$US), length=50))"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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mPHUMqg9IeuidP2FeKN7mpfIR59oLvl7NdYBUEQ11hH/s8q2me2o6NDo9EUFxcr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\n/CKuuebCxo0Mw8z697+jb7hB7N/FMMxHvr68Xp/58MMz//EPYhU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wDH/hwvbcXCII8374IfxiuROe51tKS39YuFAQhPBJk9SVlSzDLDp5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\niqII+a0OQn8L5ouB3X8kgTN8VZS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UAo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\nj8wybexBOW9CobI+eDZ8bKm5+KW66GMA3n6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A4PJFWB2AulKkqtvrNCXvgVDWfhfqhJGhjPKmndThBrK7RvIzCkcKllS+S6Q4GOWvDLM6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\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0L93vOJSVSBCQKJl4sEAciJD2mS6BLm\n/fOVLwDDYnoepS8D+ML8MEiLrIiXicLIJlEBNE10ah/vV8DnrVJmpCshhoceSCAxyzveijAD\nSUGuqjUIcIUajRIIw4OPOQ3nTNekEBekoDeGRskQ5zm/JETjmTg8+IjNVH767K4ZlcTu2lBJ\n7K4NlWG43yKeeeaZX9Ha8OHDS0pK1q9fv2/fvkAgYLfbW7RoMXjw4KeeeupXzK77PwKVBjdJ\nf+UhD8ZfIriiNjlOo1GqMtgG+P5yyrqySNrKaCgi7N7m3Z0W1wCkn7K6Ve4/A8mqqTblrA5A\nw8Qgh1Z/szKZwsjQq4AvSHAXc5XPAMKZdkaTJpIZWvOrWN0B27xCaScgDvK/C0CE9brwIwAK\n+JO5yucSVAP8BWyehs2wSE4+u2m83w7lY4C1itx3Javzr1DGAax9dGTtZOvsRE8AKgnvcE6M\n8vkEhIBtVz7hTE92YkA9teNR6/I8yzIGro/vjYqsbqX7b1FaYjU91wfGAIjyRT/apkf5CzHu\nLAAVUp54MlNrneYoG5UvL/GnBUj3YXwAgTR9vMSf2aR8TSC0it5RVW+Qa58a5fNi/IkNrpcB\nZjBb5+DlYPdaZUKAPy8waZj/1fLBEs6XIDyBVFNtly/tVWlgi/ObMiU2MjD0gl0vrczYZp9z\nUdrDQEfEx1axZgHoEL1rLh+KO30SVAqmCqf8HU+NWtWMkSYMKZvpGhQo9Z0H+MI1yngCs47a\npV18KJoBwKWJz855bf6l0xEATfvX7PV4a3I8w9U7Vrudy25WHxQo3flO24qj8i4C9A7dk6XX\nA7DZMbtQ3H90Tf5PX7/Dqwqeb/5VmrNutS88Ke0nEDqGHquiV1+vTA3yecXCIQAac+TErwfQ\nuHd9XM3rUK9XdRVSDa2VyFiRuL8I+6ZhHwC31qhP+D4AJ6R92+2LGVgztX272EAAl3hfFAIg\nSKY9SWPb7Au22RcBJgEZFnrUpWeoiM3xfsKgSaZzZOApAEEyYIttrQ1RAIwaU71vU8YbJElB\nbww9btddZ4VT652zCFg1LXtAeCSAqe4JAi2kMFVY9si5ARo7Ie8AUE9t2zNxQ9Qd/BQf6lS3\nmI47As/6eP8i56S0I5YyqXYqZ7N92WlpNwNpkejdJt71kLxvyfFbNQAAIABJREFUk20NwGdp\n7WprNXdZVxULJwEwZr3b/1wxXzjLO8mEaTPtowMPx2l0njIzQYS6qaaDIsOuvmWVqMR/FCo9\ndpX4NfHf7bHTkdrgGauT1DC8b0eVir1iw3zxFuUvAOkeesleIdU6yJ/90TGRUT+AJEQAjFm9\nepNW4Vtk2Na53la5Qodev1vo6YoXCvPFq5QPUcGfpEPdb59zSTxkkAQpVYmVHXq9trHbrLoH\nwAnLypPWpQDt73uvok6Kjz+/XpnAQHqEHq+q1/R5T+7F90kUkdLG6jDNqh0id1QtExaOc+Fl\nrncI0Cp6Y4MyiRAAl/gzG5UvAHQO33tBzi0RDhCSQFk9KUD7+v4iVhCIX+F+P0r9dtMzMPCH\n8sEAX7hW+RhgFiMjwQXSPjwGSpnIiCox6z1kHMrkTvLFo9scUwhYp/C9NbTGZY9An+19z4II\nK5PJBfgMLTtBi2OcTzJtQwKXi0XWKZP8/AlAHO57OX1PdOgLPX81SBggaf+fotftERq1VZnp\n508RCEN8f1Is7nRbzy/NN6LUz5vSHYE/ACgUju20z9NoOH1d3vS0jg2tk2pyXjy80zGNgbWI\n39A4UdqXdonyrY8/D/Bttg9Wq/nP1d7KaCT9kQnn9cEn7YYdwHLnlGLhHAW92fesBRYA58XT\n6xwzAfb9XRu3Tt9z1RvYrl27tK7kIuXLAF9Ewd3ieypNpjfYF56V9lOYPJNTJO364mDqn/f/\n4cTa8xWNPLx8xF3dH26WaAdgl33LPmmLDXEdPAMIBJvhinKXCNA3PLK6lg1gvuvrMFdAwN8U\netSuu1SoM7zjOWgMoGBWI6tlvMN2xwKAVU816xcZAWCpc/454TQBrg+NqK3XXeX8rkAoExnR\na90Qun2nffVpaQ8D6RAb3FS9LsxFZ7q+ZjAspnJDZNhKxyydhgAwICfRp228yxHLgY3W1Qys\nid60V+j6MBed6ZrEoEumzYJUkobLtIS4EaHH7LrrB2VGMV8IkEGRoXVTDVc4luWJRygYATGA\ntPeaAK0SHTrHux2XDq+3rwRI7+jA7OSvGcEoR6XH7tpQ6bG7NlR67H5DyMvLq1Wr1v+qmuHE\niRPZ2dn/87xK/AowV3nGgsR5KOdxpCkus7cUoluUtxjQJvyw/coCujhN+KkJuG/w/emEbW2+\nmMto2C/sWefdU5rkxJSrWJ1KoquUcQA6h+8pjxLykNtER690fZrgLkjMLjFotCTKH9mgvMbA\nUdPBaBDg+vrerMjqgnzRemUCQLqFHqiq1wTQCB0boeOlxKUZlr/IiFFwjEY3KRMBIpjOhmqH\nI9bVALsuNqzelaxugzIRIF1D92fpDauX0azlro807jwB08Ev8r5JmVQr2apdbMhy94cx6reb\n3oGB58uNlPD5G5RPALSN3lY3eR2AOBfeZp/l588wojJQlSRn4i+9cY8E2zlp/y77LAJ0Cz2c\nWUY6U1C/835owsxIdugRvcnPX9xpnxPlikuEIwAA4jQa6lDT2jErXJ9GuQuUWW7yv1K+h+XK\n9CjRKXPfGHxkm2N2iD8X5k8u9r4JwGT8Tf5Xyu/eBLyYpKqUcPQ8PRLVAMDOMoPUBKwePTPJ\nFWo0kOv4dmepLxZdQw9klUlGf+f+RKVB3rTdEXgW2QCQEau5wrFIgiqAGTB+cI0jECgjBkmJ\npjQq8Gz6KM61bjxs2chAekRuO5vBtuJqYtfqlVob7YsuCsdSVJWYdaS/tFvGPNdXEa4Q4G/x\nPSnDpiI2y/MZIUlC6V0zB895eN3BhcfB4KxuG/puj+c6vZGRyAQwX5lVyF+kEG/H782Isdgy\nLchfjHKXAFiNTLdWU4c6yzPeJEnRdIwKPA3gAn9hsfI9wGVpDetqtfZZ18W5i9sd8xlIttqp\nS6wfoH/r/jJBEwIT7/E/yEM+Ih0+JVwALBl61Th/McKfn+V9DwDAjfQ/KTP7Xsve7da1ABqp\nLfvE+qlQfcSiQbAyFcTcZdm+07IzndtwK+6prlbfbtm2w7oeQHayRd9o/wK+eI7yg4QIBQxw\nM53TANMgusiku/0PUIiT3V8kaYxCuCN4n2zYP/d8xZUp8F0ULi13LDwjnnQYzpvCo6ymHZWo\nxH8+Kj12vyG8+uqr06dPf+WVV2677TZJkn5+8rFjx959990pU6akW8r+RvBf7LFboUwN80dt\nSJJSpX5CINv1uq1iN21R3gP0RvEbGyR6V1wS4AvXKh8xkAGhZ50VCJ+PP7fF+RUlUQO8Do6B\n8EyuojVqG7mRBxZ632AwW8dubKB2rGhtvXOyTzgumMqwQGlWWZi/tNf2XZjPo9AAGoeFY3KN\nVMs20SE8+CgfXKG8z2B2iIyuXVYc4PV6U4hPwJ8ZWJt4n5xEFxVqrnPeJf6YSVJlVQpcTbVD\nx9j1abZRzF/YqEwgYJ0i99RIXfZn/Ghdd8CyhYLe4nvujCX3mLxRpxGUmSBMGOb/U7lk8SX+\n3AblcwDtI6PqpC7npM91fx6jJZLp9Ji2MH+WlZZKUAKTgfQNPeUua8uhkugcz0cV44NpzPD8\n1SCqyExKkrS0OYcMRkASoukeGnihfOYc94QE9YumfVTgcqrDZM8nIvERoDxnKzvV6qSUa8Co\npteusbWt1+utVq3aRf7samUawFrE+16X6AxAh/6DezyoD4AKmYCrrjXqHr7he88nOlEdRuZN\nwYfSl9hj3bHTsgXAcG1kjtDSZxb9wCZFuEuk1POndIoNrJ9qtNL5XaFwHKA3hh516h7TNDv0\na39m/9nyrbYY2ui+hUPSQWrKuN7hO2rodUzoszwf6SQhms5RgadKfyj3l0ka4ZjULtH2gGUL\nSEJPGnG/6shy3un7Q7qJxWT3F0malJn8e/IiwBdFiiY5JpjQJSZzJIqydDcClqU17h++FcBW\n65Z9lp0ErEu8T8tEawBfu2dEaNCKhAFKwACOwGRgVfVqI0J3AFjiXHheOAmQAZHh9VP1g3zw\nW2WmHREAGniOSVbTHuF8DGRI6JZaeq3j4ukljpUMqKvVHhEeHIM6yfulUNr2gzRHhxLjQjF3\nnoFcHxlRN1VnjW3TPvkQgI6JVu3jbae5p6ZoCABAOsb6eXXHUmU+YHqMarcF78jni2YrCwDT\nbjo7Jlputa1L/y43STbvFb38Rv0rUOmxuzZQSpvOf8szrOsvN7XddX2NSo9dJf79GDVq1KZN\nm+6+++6nn3565MiRAwcO7NSpU7Vql/tN6bq+b9++zZs3z549e9u2bYqivP321TlblfhXYKt9\ncRF/tmViQOt4T6vVesCyJA+bU/BH+SNblCMAdGYNkSSgl/9OpRBdq4xnQJfwfc4r3XhnxONB\nInGw3ul7frdt+QVxn07jheK+Jd7SEsjMVNOrWN1W+3c+4TjPbOWsDoBTr9IwPihdY5itNtHE\noxqNn5d2nJd2ADyDQcCui95azuoA6FDTrK5loldOogsAGXK38O0JJOZ4P+SREkyO0MQFeet5\neRsgOPWaYT6PAF3D91bTLjfJ2G1dfciynYDc4ntOhtwk0a1JohuAmZ73ORIGwBFtgfc1BsGl\n12uott1tn0XAOkburplqWm5kjvvTBA1YTc8tgccBSJJE7eZMfJBCEUBVWBYqXztMb6fIYDus\n85XPAeQkurWJ90ovN6HP8H5gIlVVazgoPApAPn96j2NBkl4ihGngVYLN9mXdotcDmOn+UKMx\nm1nl5sAj5Tfja8/nGkkpeoMRobvyxONfrP5w2evrCw76bBmWdnc3e+7Znul5R+XdO23LANIl\nclPDVPP04EJljp8yDlVuDt252b4wyBXkC0dmeY8AkI0q5axupX3JaekYBb0tdG8NqQYEGCDF\nXBywVNEzVXpJp+HNju82gRAwyqRR/mdLU+gc6x/Ye+eB2Yf3jzuq+/S+ffve/+59K7GIgyEy\nMJJco0xl4ABGYJbfgTiJT/F8CRhuPWtk6HYA2WrryZ5vRCkmZFkT4L70jncY7hgXSNOvW6Oj\n4eJP4MRsx7cErH6q2YDIIACrbKvOynt5aElIp4R8zbk4SsJ+vpCA3ha6x6N7Ekh86Z2mw7CZ\njocDj+vQp7i/TdFQupVsEnwCiVnuKUkaI+BH+x62Qs617N9o3QqQOsnOXWJtf3B9F6X+CJc0\nwWWrbWvptRY7Vp0QTzOgb7Rnq2TTk+K5hY5lgFBVa2Bn/Dnx8GFsAweTcQ/7n+DBT3LNDHIh\nCjI6dItX985QFgWpRmHx6K4YX7jDtgoAQDrEe7VJtFlq33BUOsJAOiTad4+3/VE6EYBLYHrf\nROs2iev+iTOgEpX4j0Glx+43h0WLFr333nubN29O/1dRFK/XK8tyIBAoKSlJq/663e77779/\nzJgxVar8tpQz/ys9docs23Zb19RNNe8RuQlXdp6Y5/7IoEUUYCj/PeLsRlaLWN9tzumA3iI+\nrFGic0VrR+Qdu2yrCMjtvjEVw6ZF/Jl1yiQOBgPjyuROqmlN2kaGHratzZM3EYgjfK9VNFXC\nFyxTJjGwQaF7qpYFbc+JR/fbFieonwAqRBOiZNpbqF2aJdrp0Gd53zNhttJ7tgp1L7eTQnyW\ndxxgtoz3bJ3oDuCMdOCAdbVKSyhMBpKE1WJU6RwdkM7u32VdfcSynYCO9D0nlvnkAMxyf5yi\nYade7cbQg4X8md32RQkuncwHgDCjRq/ozRllHrhZ7nEpGq3o2ZIkabt9yw5sJCAjg6N32NYU\nC2dYqX8UBGiUaNcpPqhsz4lZ3nGAUTvVolekvO5E/8o7QYfuNtyExNRSDZpSz5NHrzMkVFpu\noiI2xTvRBKunNRgYHg7ghRdemDx5csXzsN3oprdPGQRTJjQBkMGhB8o3P9HysWnVVZ+6sM/q\nt956q1OnThf4C0uVWRw0E4IBCsBiKhwQpSEe/L2+x3nwNpvtpHxyAWYBrH28R9tEOwAppL72\nfiYjpoMzIHAQG6stglzRReECAR0duN9qOgFss27Za9lJgF7R65skm6SQ+sE1NcEVcTBViMRU\nusd7y4a8TJlLgMZqq96xPgDOiGfnOZYBpHmy8YBorx3W7T9adqRTGwn4loku3ZIdt7u27cZm\ngHSPDmiebA5gpjKvgC8iIHeGbtpp3X5BOJ12Exrgbg3dXlWvekrMW+BYAaBRqsGQSH8A05WF\nRfxFgDRXs0/Lh8o7QFgN993B+wDMVhbk8wUE5NbQDTX1mqeEC/OdSznoApNVopOy5rAcuId9\nd1lgWehYc1I8AZC+sR6t1KYH5JMLbFvLO9sCAChgOk3Hg4E7VagTPTN0kuKZ9LB/NA/+Q/cc\njvoFJDWIAE8Yx0iSgLsnNNKlO2c7V58SLmYYzrvDg63mv8MjVemxuzZUeuyuDZXE7jeKAwcO\nzJ07d/369enmEABEUaxVq1a3bt369et38803p7nFbw3/fcTuvHh8nWNOhp41OFQq9ltO7GZp\nHxUIZ+ymMiLwJIBT0p6j1vUq9aE0IIgUrNVSOZ0jA8prRS/wJ9cqswhwq/85mVkrXug793iV\nhjK1BgPDt+60Lb8g7mc0issdUUmb6B31k5drV8N8SdqJ1S8yqnqqYfm4DnWG9wPAbJToFOZL\nioVzJrQyuRMQsBx07Za4ofzpqFDneD9kMFokel0X71Zup5gvmKfMIjAyDGeU85WJlRDKRJMk\nKcgo3+/5CqxupnucRqMuveaw0L3lg0eloxvti2WoBJSVNpalVjMjSSImSbj1GkND95VP3qCs\nOsIfoCD3Bp4Qy/7cnhZPrHX8wMNMy50AnGy6Wya67rQtAszGaueOsb5ld1v9xvu5CbNuqmF5\nYeNBefcu20oKUwevQRCYJUe9rnGq4WxlKoActXXXWG8AL7/88rQF0yIXI1c9/ZcuPOqpYWEg\nKixOwzsger1Hd39h/5hIKDpYMr7FxPS0D7Z8EOtSQoBe0cFNkk22WbcdlPcYJAUwE8St1xga\nHWw37LnKrl38ZgI2KDyirlYXQJgLf+2aycBqazV6xTstcyyOlUmEAOgfvrmBVgfAAucPBcIZ\ngN4RutepuwAst20+LB8CWPtEq+PSQY2W75x0i/bPSeYAWG/bukfeD2BQtE+zZCMAixxrjosn\nOJgu06LSYHp7FAzg7ok8bElZdOife6akSEo25YcD9/LAOb7we2UhhU5BNKQFNjnAIMDAaJ9m\nyUY69AmeqTpJCqblscA9PLDZunejZa8NUQMcQAg4ChgwJCY94h/Ng087zwD0jHVvqzbP50u+\nVRZJ0NLvp9V060hqNEYhPOi/087k6c6VeUIhAe7GDQ2j1SfJSy/ypyhMAsimq02y2VbLVgA1\ntDojw9efEApmOdcQmBl6xqOhwVOdK4uEMxSmBr5BslmvRM4UZXmcqO3VxgNjVzjF/6WoJHbX\nhkpid22oJHb/AdA0TVVVh8Px/3sj/zP+y4hdgZi32jHDajpuCvyuvP93mtitxncHsE1g8u3+\n569aNcv9MaM+MFEjKKvcpBZTqZtsctSynQHDQg+69MyKS35wTYxyxWnxrYrj22xrTsqbeZga\n0t25CMekmqnsNvFu892fA+gWGV6vglIJoE/1/o1Ba6R27BS7LBGXa91wwLKVwiAgAGPgHUa1\nTtE+VfWqM7wfAkazRPd28Z7l8338pTnKVAADI8PqpRoC0KFucC7NF44DuglCAcostVJNu0b7\n8+BnuT9M0ZhXr3VD6J5yI0ekIxvsywDcFLorU6+aQGK9c9El4QxK5dBEzvS0S3TKUXMArHIs\nPiUe58A/j5cjgYhpmgCOiUfXOZYC5PrQLVl65kbH8ovicSAJsPO5RTumnCza6s+ukj1u3Dhr\npjjV9TUDa6626l5G9fx88DvlG8BsprZxma5ceXuKlr6TDKil1R8SvhFAfn7+c4uf2z0xN3g2\ndNWjvH3lvQ37Ns42ss4Lp1lpR1oCsNNrzkzql+6IhaETb+j4UCsGcmvorgy9CoAY1IneqQyG\nhfGEJFDqdOQJdIB7zHyGBRiA4+KpxY5VADomrusa71i2cBpBSoCR7i0BcAwcQUpglvv8j6Rf\nwm9d83xcEQH3qO+udC3tN8pSH39eRMoAZ4LjmSAzMUqjBPSh4B3pCtyJ7plRGiLgH/bdZYOs\nQ//Y+62EqAGqQ+AhNk80OWA5YIJV1zNHhW4CsNmau9OSC6BLvEunRMsoUT93T6cknfGGDD2r\ne6zlfGUFYFbXa44KDQHwjbL8Al9MgHtCAzJ01xTXggiXlolGVb32qNCASe45URqi4O8NjnIZ\n9hXW3bsshxjQJdEyS3ctc6wDkgQwIAwPD6yrVf/YM1slmgD+VTxkhfymOcVHfQAdEGu73bJb\np9H007wu0b5PvO0P9q2HpZMMpE+8XddE09n2nXul8wBq6c4AX5T+aiEw7tZI3/ra5RSXfwMq\nid21oZLYXRsqiV0lfk38NxG7OI1+5x6f7kDAMzlTr9c1MlBmdqvVetSycz3mE9DRvheuSlRd\n6JoU5C46jWo3Bh8EUMTn77StDPLF7HIIiXPrdTrH+meUJd4tUab6+LOS6RoZ+F1FU+fE00sd\n8wkwOviwaMg7bCvPikc0qpLS8CJE0945NqTuZXedOdXzPiNaA7VN1yt7ln/p+dQgybrJZt2l\nzquxMIh8gss1Nw6j9k3Bu8v/6+NL5ihTAdYvMrhhhWqJjbYNh+XdBLRVovUpab9OI6RCoNNl\n1BoWvMzqDsj7t9hWM5DbQnd7dW96UAcmeL/UYbhMUScxk6TvSboXu86DH4OXAT4td7LXsneb\ndR2Am0N3VtWrpi2c5c/OVZYd/GrbokeXMqP07HLVUZ7Yc7/FY+kU79o6UeqGucBfWKTMAdA5\n3rt1orSH2D75yDrbOgF6WVsOIpoOtTDBVde+7jU9b8PlSoU0njz4/CO4N53nelLIW+ZczEEn\nAAHTUji8NM/hEev3qKFp5uiSB12iC0Ax75umzAXMJsmmg6M9Afh5/zTndwJRTVANPA9r+3ib\nFEnssvxIQIZGBjZM1QVQwPtmKnMBMzvZeGi0tw59vrK4iD/LwdAh6MzWWm3RLd7+C8+3SZIQ\nmPVJf+kjG+eeE6UJiYnP+m8r5i8tdKyO02j6G4XNqDoyOkDW+S880w2i2U3l4cDtAAp539fK\nEgbU0TNH8f2nYG4Ipdo9kmG/N3iLDfJ0ZX4RX0hA7wzdXFX3Ron6kWcug+E0lcapzEPyIZS9\n0tnJZkOjPVTo4z1zkkRL74QHXWrL3SMfYUAtPcPP56PslZNNx+OBOwGMdy8M0SBAHwzdUE13\nL7Lt3yqfoDDtpmnQVDq9gYDU1qvcGxlsuslbmGLCsJqOpwI36VDf8SzXiGZBokyYkAImhfC7\n4HCrYX3HvShGUzzo70P97bp1snPLGeGiwugzgZtE9u9OLq8kdteGSmJ3bagkdpX4NfFfQ+x0\n6NM9XyVJskGqZpFwVieJsmwtKjKLRmIEuNX3rHxlE8NVzjkFwrFyjdaK1r7yfkqhW0zepDFS\nGpQkvGnnmZjkfIJpvT3wXMUlBXzBQmUWgFsqEKO0qUne8RxSFIwr8yFRZq2ZanxBPGwStVYq\np3fkxoqmvvJM0IlaR2t0fXiI1+sFkEgkiuMl07wTRSR18CYIAAohU6vZNt5+sTLnH7E6gLvX\n95iM8jjp8bWOhTw0HbwOjoDaDU+3aM8gH9hqW0eAdKJ92c7NCd5JOvTsVL2hkdIixA229Yfk\nfRSmCVAwClsTtOwR6LxD3v6jZStA7wjd79Sd6clHxZNLHavVQGJclbdN44qmDh0ebzv004Gi\nqXRMdMlRmx6Xjq+1LwZIn8gNjVKNSn8E665cy24Gcnvo5up6xmbrtiPyfoPEAJigmybsX/XE\nwoo2a3aqPfXtb6tUqVKtWrVD0vEV9nUAa3Ou1e+GPzRi5i3VGimUMgAGo1smHJh225eU0oPS\n8ZX2tQC6xbt3SDQHoAMfeGamiKaYtsFmh1X8pjjCafsEpG+kb8tUQwC58qENts0AesW6tVWb\nA8jnL01WlgOsvpYV5XzRsp51AHPqGQ+GbgEQ5aLjXfMNmNV074OhGwBc4sNfKAsB02ladBpJ\nO0fTqxoks4dH+wLYZjmwxvojgL7x67qlWrtcro/wwxmc5WAIMCk0gJggFKZkWh8J3M0DP0pn\nltg3AshJZt8Y7QxgnGu1j/NZoRqgZaSKAayeVu3O8AAAH7sXhGiIgn8iNMyl2zdZjq607rMh\nroMChEJgMBkMq+l4LnATgPfdy/00RkGfCvXO1F3THLtOiKc4aOlIscvwBrliAK30ZkND7fZK\nF2bbdwCor2c8FOq5X8yf69gkQNPBa7A0S9Y4KJ0HWDVDeTrY7xIX/lzZECepronsIfFfrUvY\n/wqVxO7aQCmtP/9vyrAev9zUPlevmi7v/xFiV1kVW4lK/B3MdU1TSWJo+NbqWs30SAlfuMO2\nys8XaCSWVsed7R1vM73NE52aqi0A7LSuLRCOUSZdxeoATPZ+DhjNEx26xrsDiJP4JseyYv6M\nQSMGYIDGKTfdNaVjvHPDVDaAIO9foMwEMCR0W0VWZ8L82juBgTVVO3eP9dChb7GvOi8eNUj8\nnLQHgAaxgAvnCXn1tFLtt689n+lErabVuT48pNyODkzyTtchN1Cv6x/rud+y90d5d5yGC4S8\nxUoeAMG0Vzwc1tvWHpX3Atz9vsdEXD7ol9o3p2CvqVXvF++2xrbSzxdHuJJlSmnb+Jx4l3JW\np0L/f+y9Z3hVVdoGfK+11y6nN0ggEKRXKQqIiIAo9oZt7G107I7jiH0UsGF3LGPBgszoK6gM\nNrAhglKlhRo6IYQkJDlln7rrWt+Pk4TI/Hi/z8/rfcd3cv861zprP2fvtfY+5z5PuZ83Yu+4\n4IPMvqdmT2y1sEduMqAq3DPKGLrRs8Yima1YsTWyAoAAuTR5fbBFWmyttnGJbzkB5JniMFYH\nYPc3+6hQbaov9X251PeVAAAySb+ks9O5OOFz//c71e0AvTFxlV9oAI7Pj65Q61Mk4+GOnc+N\nvOUYbtg/TvnOyloAuhxT/sEz7xcjwt97V633rBcgl+rnlflKs7uyrw5+/dbko6pflu28xOiI\nW0e+gDcpmIAtQH6nn13ulAHIStkXw/MERC+77NL0RJ/PdwwbNlXMzJAmGVyCszCwcCEWS0Jz\nSZaAXqpP6uyUAFjp2bLQuxbAablRI4x+ADaqVfP9ixksB0o9yz8eez/mRpukRgCjjH4n50YB\nWK/u+sK/gkAcUxh8Sv6oe++9d+coY/gfjlJgW1A2qgf2SvOC0GpZIwGu0U/v4nR0JDyAGQXk\nZKh3xS9gYGu0Pd/6lsiwLag5Ks0MfRfk6k5lD0DOz4wfaHUzYEyPfW3B8XPf/cmLHTjPR78w\nSaboNGuQzCq54f3gtwKul/vuSl4A4PXQkn2siUC+SD+rkxN4NbLAoFkCmFA6u52aWP6voa9c\nCD9XH0ye5QCPRb7K0RyFdmfqnEWezZvVnSmpgYOoKDnNGD4ruGybXA/g3OywY81e7wdWb1aq\nAeWE/Mhd8sHdcv1mtRogHdzwHamTFnu2f+PdogjpRn1Cd+f/cz/GdrTjt4h2j107fk383/DY\nfRH8uEauHpedOPDnXcAtODNjrwiIYRh+ALuyaGgNaArIBDZAr/qX4Ozbkddtmm8VkmjFKk/F\nMu9KGW7Y9eWkVEvJBaFCdolNIE7JnNWzxdtUxJvRV1xiFXVZ246/Fpll04wmCCd2a+kGE5pL\nuIBV6hxxnn5BcTAWiznAI3jShTvQ7HtaG47VyJLvhz6Q4FJAao6yEcq9PhHISPUE7Lr4LW3L\neF+KvuUQp6fdbVL6UNh3iXfVBs9qCteBzEEBMKF2t7rvVncIiCHGwIm5Q3++34zMztCUlwdu\nSl4OQFVVv9//AmYlsY/CdcE4KAUrdUpLnPBGbSuAa/VL/znj43vuOaROV4TX662urgbwVmRO\ngR6kgA3mQpK5b6RxdJWyu44dIGC3x69pvYRno7MNYkX/8L1JAAAgAElEQVR44NbkebfffvsH\nH3100RfXdJ/QXd/d5Cv1aVGfj4cHbCk/0L2pPnAAoDckr/BzL4BvV3234pT9lNF93+6Yd8rr\nqqq+ue29rUfsosQVoAV4vNx3Rm4U43ROaKGAONYYMDE3EoDq8zyizbJhBHjwjuQkA8684KIa\neZ8El0Oy4O1r9piUPe4z/5Kt6j6A/EE/vdTpAOBL39q12hYAF6VPOsKOfRBaeoDVA1yAUEGP\nKwyfUOg/17+sUt0NkEvSJ/W2y3bu3PmEPbfT2D7CFR8NeaTvhUNG3DNB9TVnavY2+1ySPTbB\nsq+GPgF4GcpuypxhWdZX3solnq0AmZgfHJfi29U9gEMADnpK7rhjjZ7b5LpZweUABtidrkqP\nAfBseGFc0gno+HzvtZ6tnJjF5Y04pbfqpxpwnowuMImtCvaXxJkM7PXQ0n3sIEC62R32y3HR\ncrsOtMquzIzey+IzQksAUeJG7kydmCLGo9ElDrhXgBHLgdNSPEvvj5+ugj0W+dqkBoV0d+o0\nv8seiCwxqcXAGWwKt+iqLHei1+tjlf9VL0a7x+6Xod1j98vQTuza8Wvi/wCxW+ZdvMmzbmhh\nxOj84d8mM2Ivc9gj7LGnyqcBiMfjHPwn7w87tApO8gAMaAKECW8Xu9uEzAkeeN6LvJuliQ5O\nlwv1i9uaqlS3felfTEBujl+tQQPgwPnR98MeZYd9KMFfUnlgkDl4VH4kgLcirzm00MXufXb6\nZ70s34q8n6aZEqfjFfoFACxYP/qX7FV2OsQAYEN2oIbd6Ljcsb3srrFYbCqetmH3N3ufkZ3Y\naiTBUu+GZgM4LTtxoNnbgbPY/+MeZbtLCgTCBbXhL3FKTsmN6+CEHeDV2FsOnJ5290npQ2x1\nkXdlhacCoDckrvIL7Ufv2g3qFosWWmKIKHG6nZUbG3b8AF6PvJen2SCPXJ9sXhlVVf/u/3on\nqhmkyfFL61j9t/5lupRs/e0PuKVnZ8eyegwYMOCwL66RI0d++eWXHwR/2C1XEUh/jl+w1Ldx\ni1rpkuaURBf0mPyY8YVBAAw4L8Rmu+DlTsnVevP5v7P549rxeYDE36waf834vfIegeYfYA56\nvn5eT6cjgCpW/17oW0C4i1I7nl41YMCAyZMnv9n5G52mmFCGmH02qjsc0ppPiXH5oeMKQwEk\nWP610FwB0Vv0vCRxPAAHeCL6WYHYPi5HBE0eIvcgIHfFL9XAALwR+rKRNRJIdyQuKPoaXw4t\nqWVNEhDkkkkzBKJ5fcHujJ/vg+YAD3s/FB7JShZmlUyG4wR7drxo+yOMQRUgxGxJBgABTsAx\n52JMJpN51vNNHYsT0Nv0E8ucUEoyHgkvBhxNWKK5DIgW+8NekB0x3OyWJsbT0a9dOH7uezB5\nGoBXg6t2yk1eFIrB/eaTguhjd/x9epwB54nolzaxFKHcnzhdA3smtKqWNcpwJHBAtPw7wkmF\nwRPzfRd7qud5twAYbJXekBuxK5J5ET+qKBCAggMy4AiIzk7sDv2ECqXp3cBaAd7Fid6jj9rD\n9BeDa1SSHWp1uTwzAv/baCd2vwztxO6XoZ3YtePXxG+d2H3t/26vukEW6jnpyzo6kbZvvRN5\nw6K5HtaA89wLWnXsACRY+t3QB4CYpJ+9zbOxRt7HWxLyOCgFp8Lz+8TNbd0F+9iBuaHPCXC1\nflm0JYEMgAO8HHtTwB1kDkxLjXFW15Ij1Wwq6JRepl/+s7MKf5CS9LAb+n3q0rbjxRJIPw8z\nIaWkZKs7sKgo0c/tc2bqpNbJTSz199AcQBRZXev4F75VFdp2BsS4kmnRhAOogCAQfa2eZ2VO\naZ38jW/ZZm0TIN0Sv1JrkUFpYtnXQvMkuH6uODTX0hy2qILhxJySq/XzWy28HZlfR+MalHuS\nlxVjoAD+K7i4Sq6iEDLcon9UgO74bOdnl71v55oXJxAIrF+//sMjVjawBibkyYlLW1f78cjn\nNs0oKMZuBUBkrtjUAsRgs9e52eak7O+8G1Z4NgC4Qj91gNy92Cv2Tv4upzoTDicUAAH1cl+e\nZgXE2dnRQ80+xS17NjrHIWaIh29PNhPu9wKrdyi7pWa+AoAF3XBaigOYiDGn8+HJZDIlGc+E\nF3CIHk7HG/RxL7/88pPPPnlF4nmv4gpwBi5AfDxkkYJDTI17JycvLH7c45H5BjU07nkweQYD\nDDjTYvNV5F0QBzIBPcIpqWYHOUTDqqpPj50OoPfVYya8exWAyjeWf3LhcwCeDX2fYQcp3GLP\njD7oWi0OGsRQhPJQ4kwGukqt+cC/SQDHmV0vzg52gAejX4BYACiEwn1HWV1XaTsAMcTsfml2\nuAM8FFmYp7YipKmJE3xQHoksylMdEARQuWd0oc9i30ZAdHFKbtPHZmFNi/5gEVsVyhOJ8Wlm\nPR5cLBNDgJrQBltlGZrby1IArs0cPcwqfSNQsVWpA/A78+hh2dC06BJKsgAxoQ0xe9jU2CzX\nE+Dc/JEnFso/8VbN91R7hDQ5PaSb828hJtBO7H4Z2ondL0N7jl072tGMnUrNRnW3D9Qm5tzQ\nzKLvrcwpH58bNz/wqUVzUafs1MzpbTrdw4A1KzQbEGdlTu3pdOmZ6VIcr2UH5wW/AMlZYA4h\nL8XeAGiIh0bnj+7sxuaGPgfwO/28tqwOwCvRdwTcgcagU3OH1IPXejYs8yxjxDKg5lnm+dgb\nMld72z0mZMd8HPo0JekhHjiM1b0V+TBL9ZAbvS71u5bzdBb6f9ym7qJwOeh2aee22N6w2+HE\n7DEh+GeF5hCICdkT2rK6L30rK7QdEsjk+KXF8GWKZb/0LallBwDBQbcre3dFZ3W3up+WHbPY\nv2KruoVAujl+dWtpRSNLvRH6AsCE3LGjjf4AGll6gW9JA6uncG0o+1nu2cjHo4yBYwsDXwt/\nGqd6EN5puDGJZi23t0Pf1rI6WWiTE5cwIAfjs+APNXJ1v3N6/2Hbn7fO25E/kB0Q6/3UVQ+/\n2nF+muqK8NyTuKh4rAP+aOwzC26Z0/l2fQKARd6KVdo2m5rFnmeVSp3s3XBGfuhc//JKdTdA\n/5iaFHT9kGHAuQuzbOpGspGr9g0PdAp/HFxWLdfnaEYABHSFtrfc7aK49MXoxwK83Cm/Wm/u\nJvdC+PsGKSHB80D8dBf8v0LL6lh9Wmoq6jzvhe7A2cHqZoaWE+A4o/fZuaFr1qx58aO3Ltdf\npBLZ8e2ur095Yewrlxx105i8lAJgQ43y0gwsV3KeDn8twLs4HW7TxwPYz/TnQys4lJ5210vS\ng/8eWlnDmqpYPQDC6Y4PKwCMe/8P/S4bIQS+OveNLg0yLsSUyPcpasgiOiUx9sPQ+t3s4A7s\nA4EL5dT8UQz07cD6TUq9AP6QOepIq1OKWNOi37uQIrzDxdl+H/rXmTS/StsugJjT8aLs8H0s\n9dfQSg7RzQndpR8H4KHID2lqUvh+lxn0lW+TSXOLfRsAEnM73aaPWa3WvuffCIi+dsmt6eH1\nLD81tNaFL8KjPV11m3xwo3KguJgPpiZEXeW+yPcFakhgL2ISbOu2yNI80Sh8A+3AHrm+Qq0C\nANApyfFeoTwSXrNfyvVxQn/Wh7AWiaJ2tOM/Cu3Erh3tAIBGlvo4sNjDIzckr8+z7GLv0npW\n7ZDCfnnbe+FtAFwwn1tmwPC2MDsHeD32dwF+XP64vlaPtta2qjVJIjMRuy9x+QatcpVnQ5am\ndZr4yr+wOCHgRiVIbQ95OTKLE+sIu8dpbVgdgAq1Jk38YR74Q/L0bwPLquVqm5qVamWlWgmA\nCjIi/zOd1XdDc9M0EeDhVlYHQAPbojTYUHujx1gM/lJ8r5MmXaqfF2quA+3oHDG4Datb4F+x\nTt0pgd4dv6Q1Kc3vePcwXUAbZPYNcrZV3W7T7B618m/qNgIhQM/Tz2lldTWs6d3QAgGclR13\nlNm9OBhxgruY4yDa2y4NCrJbrjZofol3zRLvWkBIQnqIHJLx+1v486SUVNtwNR+0A1QkEPEK\nZXBJxHNbV5fYgJiODwgEazMzA2t67AsBMcDqfFXmuOJgyO2gE4VAHmx2qZEPmDS/zrNhrWdj\nUS7u/vjFxSttRGY6PuMQQ62ug9f5EYMPmgEtD41C6uYEGtjBJlb/aujjotnBZv9zs8cUX0+L\nzDeo0RqaBGCLQBwWAeniynlJ34g9t9E9CBEAl2RGDbG6Anir8ouLtkwBxOop8yse+QxA9eJd\n5beeKYHHuGzT3H7W8ETs86LB0YX+5+QHAVjoqfrcWwng3Hy/Ews9AWg8nEeOACEOixaOf27S\nmOcmEcCx+Add7hYZe+6WVXfGvubgnV3/famxALo4nTewNIVQhWQSd45v02zfJgIwSNPiJ/rB\nlqt1c/wVAEaa5Vdmj3SADMJpeL0wCUQNy/059lUx2H16oe9p+V51LPtUaJkAj/LAlOTxAD72\nHUjD44MhgLyU/mPL/CuyQ0eaZfO8e7701AiIk4yyS3J9lqkNa+UMhSNDSLAeCy8GQCC6utEn\npTPWoP4J/0rA7eKEp+rDlquJVbKtwNZgucC9kVUURAAX5XudUuiKdvyfgAGV/Vx84JeC/BpG\nfhtoD8W249fEbzQUm6fGK+G5AuT21IWHtRj63Ldkp1YpgbuQWmKRxIvAkei/XmywidnfGHhG\n7meRgtWebV97f6Ig97T4upo/BdZLsf+SYBEQ2tLIQRKe7na3enYgRzMlTucr9HPbmipq7vu4\n587kRW3HZ4Q+T7IGCZw2JycRItTOTplBMknW6OXBm5KXtZ3/VHSOTcyudtld8sVo2Z1alno7\nNF+BaUNGs2YY6+CGQ1zbJdccxuosOM/EPhRwjjT7TcoeopJvBL+Ny7UErgsGQID4uLe3Vb5R\n2w6ISZkTjrS6FWcacB6LfeZCDDG7XJo9ttXC1OjHhFiAkOAKgEIpcTpmaCpPc34e/FPykHTL\n45H5WWpEue/uFtrkwJkWmyfDciAVNZxlofS2SyuVGkCMLfQ+Iz+0OHOBd+uPnm0AbtQndG8J\nsj8Q/YKRrACclmN72CU7lRoBnIsRoxPdN2/eHIvF/j5gY5JmZKE+nDiruBzzPTuWejdosK3m\nGhHWxe5YJzdwuOVOyS0t7dqmRhYnaUET7PHEyQzw+XzTtG8b0Ejg0ua4sKcD99exBiHw5Sl/\nPbCwEsDwF6/s/8eTBcj1mWFDrM4A3vKv267ul8BNKBxU41pYKPVSmoD8WR/dzQkBmBb5MUGz\nFNJj8XE+aDkY98d+UFFwQVzI3BVd3FCdkgYwxuj6u9xgAM+FfqpmcQIyFaeXZORqnp4WWio3\nNxzjklDDXItLOkCuzYwYZnWoZdlpobUCpIvrnZIaAWByZIXZLGfICVgHN9AkJQGMNXpdmOtb\nw/LTQmsB3pH7n0gOd4CboisVkiEQFlRZMK9gOjUoyN36sN5O8Nng5u1yHCC/z/YfbZY8Eais\nVupkOBZkAdYB/gZkCMT5+T6nF8qmB3dtklME5Ppc1wlG6dOB7duUBgZMSw3v7P6sp8u/A9pD\nsb8MlNKyT17xn3Pifz/1v8Ou8DFdw9H2UGw72vEfAQ4+I/S5S8T1+pmHsbpN6p4N2j4C373x\nSxnYXla71PdTnMVzyPyEn0BgQd6hJDxi84R8c/uHHfKBr70/EeCOxEXs58/XX2NzOejRhRGn\n5I/OEuOrwNIaVuOQwm5lGwAHcgN1F3krTsw3q+nOCX6/V65XuXIYq/swsLSBJZnwTU5c4gDf\n+36qVHbaNFcn7wHAIWWgfe3dcGoLp3k28pFNzC5O2TXpiWjRTkmx7MuhRYA2MXfcaKPHZqX6\ne98GneqNUlOjBIBQ7pnv23hm7uhiItdzsTkC7mCj37ltGjG9HVxaJacVEX4oca4J47PgqipW\nl6e5jdo2AWIjsFqr7WGVFHnG47EFAmKk0eP83NHFwx1gWvQzh5CuTvmt+tjdvsb52po0EgfZ\nAQA2FAv+Srl+gN3JAR6LfmoSp4sTuU1v/pbPw3g89hUH7W31uTpzzA+eXYu1HXlqVCr7ARBI\ndczMw/JCme1fu0GtAsjdqTOibrFUBQ9GvzWIVOKWPZgat1zb+51nW44Wdig1ApAg1aHgFBWV\nB6y2qRXi/vuSzdp77/krV6tVBMEb9dEa8J5/XZOUOiDXAbCgUeE34FDQh6LfGcTpwD0PJU8o\nHniP+nUCGRm+J+MnLNcOfOfZatF8Hc0L0HijLUXDAE7+8S8lx/fjLi/cPH/I9NMBPBlaUcdS\nBNr9qQlb5YbPPTsNatTDABDkIQc0D+cv0e9d4oS475HkOABb5cQLwU2AOsDqcmm2z+vBdbUs\nVSelBcCEWuZ2cMAfjH5vEEsR6gxyAQP9RN45S9tMII82eo43O74Z2JCm2bhkclCvG+vE/Qs8\n1Z94qwBySqHLhfleGVj3xFY7cPw89Hhy+GuhTVXsYJOUFCCUB4eaZZ96qr/w7gUw1ii/Ktdz\nM8tMD+0QYJ2crjfljnghsCVN8zpxAPSyO3ZyvLdHVxjEkiE/GT/GC3pjpCJDHQmhp/QBM317\n9rJEI9ICNMpLR5odro+uzxNXAX05fqRE2f3hrfuk/ACn5EG9D20Pv7bjPx7tHrt2/Jr4LXrs\nXgt/mpDSl6RP6mWXtR2vYw1vh74iwB2p84tNmYrwer1/83xeh/2SoA6RRLPvrZhc78/RNICb\n9HM6OOG21p6KfmgTY5DZ57zs6J99euj7WtagCpcScLjFBH8CiQnJJqYspHsTP6uW+MS/YrO6\nk0J+IP6zvLo3gsuq5VpF2IxQ0VJyAcgCgsDp7HS6Tj8FQFGg+EDh4COeTwVwbu7oY41DQeTZ\n/rUVapUCrgnhEpM0eyhlDpeCDzcGnp47VGA4I/TDXtaoCDYtccjLuF7d/6F/tQRX5j6DFtBc\nekmL1RsnFPqfmh9UnOnAmRqb78Lpa3e9Nj0KgKqqmt9/A2ZbcMLCtYktfl7z0d/udHW6udyh\niWWfC30jII4z+p2Ta2bVS7Tqub6tEtwwlw2aKwqCCBAKTiE9FD+rWGeag/FQbIkLPtDucGN6\nZPHYD3yVK7UqCSIkJIPkWvWoCXgPu9MNLZ/7XGhVNUtQ0Mfi433QACzUaub4dlPwDi7JSkaL\nWxcABtkdb0iPAGDAeSD6vUucEoSf5Wckk0kHmBxZlqOOV3AZrkVsUryJIJysMbfj7WtXrSrt\n0uWB6EKT2F7umZ48AUAG1uTYKg7u55KgZpuNJgOszjdlhgKY7dvznbYfwNXZ/sebpQDuiaxJ\n0hwDghwFmict9bCd3ciDmTHhcHgaVm5ALQG9TR88xAkfYMZ9oS0uRIQLTi2nTZOSe/WjejvB\nlWrT2/6tgDjK6nRLpl8Wzu3RjSbhXkE0WCaxWnftXv3oPo7/bV/Vd1oTgEvy5ecUShd44u95\n9wKkhLMczbS0IUYnJ/SoPqyCpZ4J7RJAd8fzhD6oQk4/E9wpICJQ07DdlsLhcsfzlD5onaK/\n5N/tEHF1ttvJZkf8u6LdY/fL0O6x+2VoJ3bt+DXxmyN2M0LfNrA6AAQ0wAPDjb5jCgMA5GE8\nH/uIAJfrJ3d3ftZWcm545VZphxe+u+LN4nArte0/ebalaRaHSJ4cdiPj8kcOtroCeD4yN09z\nR9hdrkyf1NbU34PLK+U6D1ceTp79c1MZgHMQAkhC6eSWnJEb3skJfuVds8azlYLdE7+srTPw\nneCKnXKtIpRpiVY7u1d6tqapTsEtqDZkRSh97U7XKxMMGPdjjoA4Jz90dOFQXl2R1Ulg0+Jn\nF7PON6j7Fno35GiaQJhQXTCVq8Os8rNyQ94KLdnHmjQhT0kc0l5Zru393LcOwO36iWVOBEA1\nS83xr22SdNoSxZa5Z7h5xCn53o/G5gvwoWaPS7LNDjxXle72z3chhtidrksfBcCB84/Amkql\njoILgIJIQulnlY0yur4TWkqA0/JDxrdcwjzvzsWeXQDu0o8v1kLuZslXgytkYrqQLMgEpMQN\nTSx0/y9/hQDGGkfQf2z7+uuvY7GY5/5xTd0FAX08Pr6DJ+L1eudiw+dYL8OxwFwwBjbQKt3L\nEhlaUIXydKJ5H2f6ty9X6wE8qB/V3QkCmOfb+522i4ILcAIiCdbHLt2uHADEEF5+Dx3POd+b\narwvuoJDdHf8D+hHA1i1Z+O7wxsl6hS1PISgnXjkoJQARE+n4x36CACb5OSLwU0EYpRZdn22\nD4C/e/f96NmnwLSgAGBgGmc5ahKIafqoTo6WgXV37CcXboT7nk6OAPCRt/4rz04VpgvGQShk\nAuLCksGej4/SwL7y1P/dWwPgjELpFflyA85N0Q0ghgRB4QoQKhRBTIBclx14rNlhjZJ4IbBX\nQBxlh+5O99Fh3x7bQlEAuAW1+GQJcAbytD6ok6M9HNqxi6UBck+6zzA7OD1Ys1ZOeJHjzR1Q\nmhVVLst3PbNQ+kKgarUSB8SlhW7XeAbcis2bEWdwKBwKEEgCbpjLU/T+pVz9f/fE/++gndj9\nMrQTu1+G9lBsO/5z8aV3016W7uOU52gmTTNpqn/vXf29dw1ABTiFOCM35jBWt9C7oVLaKUF+\nAjfEW9prHmv0G2H0eij2OcAHWp0bWGOeZpNSw6eBRZ+2dGcKuOHDWN3H/jWVcp0MqZXVFU0V\nCP3au5GCjjSO2KHstWjhANv/Vmh/sSUrQG+LX9D2uX3fv3qnXMuE3MrqABxr9Frg2aeDlbmB\n7o66QzloEWuzsu9PeLfoFhpolbdldR/41274OasD0NssfdevcMTGG90zUno3azCpsUrbuVLb\nWdQ1uzJ9KLnwR23XAt9GgNyhn9LJaXZwctD9kk3gOSc3sI4ltisHbJpf6alc6akEoPLgRGNg\ncaZOjCn+xYAYYx5RefdHF21+omfPntc+ePuGmC6gnVDo5RNYru0xaeHbpV8+O/3LZGW9p1M4\nN/rEsVOepJTO8m9ap9YQkEeSJwZb4ukvBypzxNeBx+7ODJ7l21TL9INS6n1/hQBUrjxz4h93\nr6gozlQ+fG/MOzd/MO7+4sJ+j/3vYzdB6KRdvo6q//su9WlaKJZqOpB7O2UGHA3sidD6vSzN\nQJ+Njyx67z7w7vtO20+g3p4eDPA5/soMzW5XagDY0DwiBKACDY9FlwOYYJRdlusDYKOcemtk\nEmDHGj0uyHV9I7SlijUelOIADKiO8BtwPvXuX+ipJsBV2f5jzVIA00LbtrMsgfchfYQJPiNQ\nmaR5hzoAUblnp5StI4VXgxsBFP1qAKaEdu5kOuC9Vx8RhvSUf7Mu5Qi4DZmIwCo1vVSNb5F1\nAjyo9xvoBCpY5unQdgB9nJJpep/PPHX/9O6Rickh2VCXKumViv6TkgRwffaIE82OS9T4G/4q\nQAy1S+9N9/yHr+4LrU6CEAAHnac2/RRsMomjCvZG4kiAXR3ZrlNXBnsxfgwgbo5tobA5CAVZ\nqKb+qR0sUEsCezlxpEToSZ4VFhwV6tvx/hnKbw/vkolR7vqfTPVvD762ox1t0e6xa8evid+Q\nx261uuef/op+dsk16eNbB5d5tq3Vtus0Q9DatEry8sBRRt8Jhf4V6p4v/EsJpCdxiwJW1LEr\n4sHYpxzO8YV+Z7Yk2zlwvvRtXKvuosRuSe0nkmBd3eik3JANyv7Fnm0S6NT4eW1Z2gp172f+\ndQD5S/wsX0uFaYLl3/EvyUhJAmJCEQAF9XPvMWaPOM1WqHslsMfiP6u6eCSyOE4LZW7g3tSh\nq6tQ697zr5bgEIhihRiF0sXpoHCxW6mjkKbFJ7WeTAbWQ7FFAuLUQq8z8ocaYPwl8p1FswJc\nAi9GDxXujfJAPasHyL2pM8Jus4jdFpaYEVoFkKszRx1tlRYHa1n2sdBPGgoCtGWJSZB70jQP\n4Ni9sckDzjPN5u4Fvm6xE7+595quE8cbzRUYd8x54f1bH297pcOfu3zQnWe7xJbAno5PKOY1\nGnDujC13IHo7wXv1o4ozv/DUfOrdI8NmwJ6ZC1f+/s22dgghy5cv79Onzz+D+76UqwjI5PRR\ndkV1LBZD1/BDodUUjsyZSUVLlJYQCC9nLyabo7RPhzbtZAkC8mTq2KirAHjLt3+RdlCGE+Qw\nqInW6hvg+uygUWYHAHO8+xZ6qgD8PjtgtFkC4FX//qXqQQpR6lJdyrfeigLkMf2YTo7mALdG\nKjLU8XP2anIYA/aw/EOhrQLo5ComKVjUbI0In5XvfW6hiwPcFNmYp5Yq2BuJIQrop57kTG8d\ngJEIVSGRg9m6FM+nhnRylXd8Nd9qBwnE5fkeZxZiVcy4K7TXhShz1ajge1i69SOuy/U6yYg8\nE9yzXk4A5JZsr+PN8H95Ex96DgJivBk5IGUPsHQxsi+E+ky6XyPMR0L7BdDT0Z7Xe25h+QdD\n+wDR1fWMtLSvPAeLmoUO2A3ZHoKQv/kOAOIoRJ/IHrFYpB7zN3Ai/pjtcLp5KEfi3xntHrtf\nBkpp7JM3Peec/N9P/e9wIDy4PBz5D/HYtRO7dvya+K0Quz1y41vBH2Ou/67UKYe9NT3ydZpm\n+9hlfezoOm13mqZImxwjAQy3R10pH4cWgWIAU6JfWMQcZHW7IjOyral3/RXr1Tovlx9Kjvun\nf8Mu+aBJrbY5WD3tbhflBrcyoc1K3fuB5QC5P3lGkGut05arNR/6NwNiWmJCnZT+2rf1IEu1\n5vYJ0KBbeka+7zCrQ3Hk0cgPTTRX6voeSB3yqKWJ/XB0kQC/BCNPKnT7GOtXq3sLtNDShIAS\nHh5udZmU68uK/rPoYgFxeqH3afk+rUamRZYmaCbIvY8mx+dgfBjcvJvVO8Qqyp0Y8Jc64Ytz\n/Xs6gQqlYWZgHSBuTB8z0G4u2djJMs+E1gO4NNdrgtGlgeXf822ubnMtS857qeaT1W3XMFDW\nYe/GbcXX7/l2TR1zWWrdnrYTmE/9nT5DSLIB1ce18WbZBLP03vBKDnGMWfqHbP/itLf8O1ep\ntQT0EX1kJ0cbPGRwXW3dYVs/6cW7B9982mY5KfdYBGcAACAASURBVEF6DafQhLF58+b4Ed5/\nHLEfEGcUep6XLwewWkm+FthKwQUEhSBgfezoQSmr07wM5aX4qKLL86HQ1t0sLwEvJYdEuAJg\ncnRTgugEgoIDROGqBpamWQLyiH5MJ0cDMDm8rVbKSpBeiR8ZguwAV0W3MpImgA0GkKIuCSB6\nOd5H9YEAPvU0zPbuJxAX5rudXygBcFt4d6OU0mC7oByUgHCAQPR2go/ofQFMCVZvkLMEeCzb\na5y/bBuyf0AFg83g0mYRaUrAKaRn9EGdHWW2t2G2pwnA+YXYVfnSKmb9ObQHsBXBKbHRQnMZ\npFfig4NgfwxXVUt5gEzXuw9wPA8E69fIhgzbI7hD3JY+GbgqX3J+ocPz/oM/qHEAl+Y7XVyI\nPhpo+lHJUvAod/PUaaXRD2LA6Yjd6+xYyDIdOXtJ7xTjv5mIUzux+2VoJ3a/DL+ZB6Md7fi1\nEKeZd4JLvUK5I3V46sYroR/SNBtzQ79PjwYwttCvOP6Nd8sPni0Mrg32o7z5B2yWIAUinqPN\n7uvUKouY5U7JYaxunq9yvVrHQKcnJwK4Itv87g9a9ae+DRI4hbtHrn4qXA0QhXvK3FiVvB8g\nf9JPacvq1qj1c/ybCDA1NSEktJCj9ddLAMz1bl/q2SXBsaEVJH1mYDVAmJAA4hC7hP+M1aWI\nNSW6CBCXYORZ6FdA4Yx8vzPy/V4PbFmvNGhwmIBDzR+13T9quwkkDk4gzs4PmFjo3mrk4cgP\nOs1FuH9qciwAH7Rr0yPe8e9aoR6QIKJc5jRXz5peDC0FKCAE8Cd9dM+WIpIKOfG34CYAN2UG\nDrc6AihxvOMKPd8IbBEgQ+1INW06uGjzYTuSqW3av39/eXn534Kb10tN6c3Vh01wcma+sjCq\nT9/1SkOOGgs8exZ4dguQDq7/ymxzrPmJ0Ka9LEFBn4uP9je79Dj+BftDBpFTABmFnmF40zB+\nKjeXH9EEkBszQ0ZYEQBVzHghsAdQjzE7nmJEZwV2xWl2h9wAwAbr6nTIwQ2B3hyp0KnjFWxG\nYlgxUHhrZEuSmCoCH/Fxs41tX2rVJjUswIFEeXCdnDvFUW6IbjKI7efqjORgAA2Sc3N4hwv0\ncUqe0Xt+qzX93VtjEldAEJCDFD+q6SVqw1Y5RUGn6P37Or48nGujO00iwjzwbrJvijh3h7dl\nqQnAgFYpiRnepqVqIk0dj6AzE719kvoOamZiL4DzCl0vz0c3yIVHg7tkWBaYA/W+QLVHoF6y\nKMjTerfeju+/vE1zPI0E4uxCp+vyHStYfkpon4aCCyUHdn20yiEuhxvkyjvJ3g5wQaQ6Q7km\n6HuJHl6wiyP7TWpQuBR8lrfx794kYEuQ/qb3CjusOFkGmZXoKQn3imgtiEngWlD/gqpHsN9i\n7omm777sv2+dRDva8b+OdmLXjv8sGNR5NrIQ4DLXftJqj2uJ8QGY4193gDWqXJucmvizQ+As\n8OwXCFyWHTbK7Lw6eOBHeUcTdJ1mv/dsBuBArqfic++u0/O9i0/Ud56qxVoVBXkq/rO8ut0s\nOde3BWCT9fGdHW8NS3/m21IrxU1aqKL7BYgF7aXAmqFWp/NzvRnYZtbwD/96Atyrj2117AGY\n7929xLNHAnssfqoGZsCZ59u5QakrNMf7aAMt3B35frDd6XfZPjZ4kdWdXuh/lqdfq5EZga1r\nlSYG6bn4hOJpr1ZrP/Pu1mmu6FD5zLttgWdPX6fk8nTfpyMr0jTfgQceSh6K7b4W2LFOqaVg\nr8SPLcZAM7CeDFekJJ1CmFCnhzZQ0K5OaJgd+sxTRUDu1AcPaJGR+06rn+3bDpDJ+rD+TtB1\n3Znpwr9u2WPRjaFIXZIWVMHIv/IxSh7FmM7ZzkCf+UbVnC4HGRwCxKXs7bFlBEyAALbKlVeS\nzfXIK5VE+JoJySdmH2bJM3KQI1RGrOXYtQy7EaUk6gJkqj6ii+MFsERNvOHfA5BL8t3OKZQA\nuDUz4E+hPQAPcdem9nam3xzbAAAgXV3P06lBALJwbo5tduF0EYF3yHEc/LhCyUxv0kEgximI\nWaDWe96973n3Aujo+l5MDQCwRE294K8FcJYRvT7XCcBGZmeIAmCMFdgkJzK08Jp/BwAO+oDe\nv6/jrWC5aaF9Ahhp+x9MdwPwVLC2kVIC7+9znT7xJOPUXOBpAEBBbsiVa2B3Bap2IENAXij0\n656n36i55/yNAoGxlnewo8z2NOjU0gEA3Rx/zNHuClXvZlkCMl3vMcDxvORLfaGlAM+kfNkQ\nW3kiWGcSgwA2FA8PLFXy0wMNAujnqC/rnbcy485QrQDv7PpnpTo/7j+4QtUl2C5kR2iztPQi\nNS2A3q7yaqrsMy33iq8RwDA7/HS6wxMBfZGiW+CPGmWjcv+bPqR2tOPfH+2h2Hb8mvg3D8Vy\n8HsjP7k0ocAiLRLBAA3wQMT17JPr2L8kqwG4K/aNA7c1KOn1eou9Yp+wF22Xa4gQLpEFRIvG\nL1W5YlCDgDweP8GHQ2yshqWfCS0DcEcbPxaAemY8HPqJwil3lSYp74KTFlNFvY879THd2zQf\n+8ZT9YW3koI8Fp/ob/PfbEq4olbSA9zTzZWrWdIlzVlTxchXT7vsjvTQotxJoVB4QVqzRmmU\nQV6Kj2NtzuSh0E9F7f56KbtFrjOo0SJ6AlfIZxYGnl5oFoV5KbB1k9IkQXolPrq13mKOt/ZT\nTy0BeUEfXMkS8z01SVq8DYQANKGNNcouzpcDmOut/tJTRUCm6Ed1dfwAVFXtOnqIvnlv28X3\ndOt42r7Xi68loWy67tXtM79sO6Fjx46VlZWPPPLIjDnvGQ1JFvD0HDRg7ox3G8u97wf2NNEs\nBbchW1A7cM8VubJayfjQW+PouaXlV1qZQ7dotzsmnf3sfdP03h6PZ603/RTWybBcSCYUAnaE\n4y935B+1JgD3pPsNs/0AlqjpF/w1AC7Nd7y40BHAN1ryLV+1BEeAUriA1Nn110lpQIwyOz4g\nBmqatpLH76ZbAZxkRm7PdgawQEu/7dsnw7Ehu6AAUYRkEYeAPJQuP9r2A7ghsqeBGhLozHjv\nIFg9c64N1TAUGFzRvPhFGRPcnCs91Yg5wJWRHQXqeIQ8M9FHA973pGd5ExSOJiCIRVrTBKHM\nx6hCJvMXrWapnAfwl0zHcZZvuZKfGmgERJQTkxqHZH2E9FGiHwOuDtfVSSYBeVPv0s1hfw6m\nV8kmARlp021yzm0O6WKI431OL3nRl5qvpQD8rhC9Ph982pf9VCsAONvUtsjZgy0pCiFXmZEq\nfSiU2MFyAB7IlIyzvH8JpJcoZjmUD9BNyxqtKZi/IbSHYn8Z2kOxvwztxK4dvyb+zYndY6F1\n+1jmlsygo6wODvCNd1uFeiBDMwAHBAcx4fNxbbBVOinXu6h5dn9kYZ7aw83OV2WbdYOLxO4f\nWP81tkiCPZ9o/tJZqtUs1vY1SlmAC4CAACTAfUebZefke+ao8XBksQCuzxw9xCppPaU0se+K\nrgDE73N9Rxudi4PrlIPzvNtTUr61ygFgYe4fXyin4PN8WwDyeOJEvzj0nTs1VHGA6X6uvpA8\n1NRhpVL3dmCbAseGLEAASGBdENQ4dtCEIqQXE8e3sro6Zjwc+gkQl+T6nWQcqgW+IboaJEcA\n3tKTRwKTBLWIJQv51cRxrTPf8VUv1BooyKvxocEWxvme98B8T50MRxOCE7s5gx6MwCGgz8VH\nBVpqRB4P71y1af2q4//s5g798h0z/4nwGUcHhKQKO08NYdnrr3+1+h9Liu9GIpEFCxZ8/fXX\nU6dObbvRnTp1+mlzxdWxXTZ4b1PZMfOfNVt3SEFP6XnHBYf3BcQ4o/PZO3DzzTdvq94jH9un\n9IIxF5530R1mb0qpqqrnyet1mAGhTEe/F7C9jjRrrXGQmIj92SwfYHveVGvnKQ0AHk53K3Kv\nf3pSs7x1BLgx13mA433Zv7dWyhHwoiO2m+N/yOm1XNPfwj4At2bLTjbDAJ7x1y5TkwR0it5t\nmON70Vf/naZTuMU8NLr1YM0NTzYJQ+1W2uO6SQuOuhTAN2ruWX8jAc40/H/MdUjDuTpaxYkj\nIAhAQHs7gd1MFxC9HP9zejcAd4Yat7AcQJ7TOw121FXMfiBU54Vhg3IwCZSC2HBVkPfjXYJg\n0/2J79U0gDtyHc80fIsUY1og6UFegBZvpCIpjHH1g2TnLHBBNJ4l3CvovERIA5sUSejUlmFL\ncEnzPwtBQWfoZd0cNimSaKSuBLynR0ocdm4kmaWOAleFzVvooyTYvETXJureHEolKD/H9Dyt\nHgEgm822E7v/AbQTu9802oldO35N/DsTuzcClWuUhgvzPU4tdGs7XsuyU0JrGdxSV9WlXOtP\nS7FVPMDL3dDk1CH64vV6F3n2fYA1BPTZ+MltG43XMePh0CoApxa6b1Vq41IzZQRI8Ue3u9P5\ndn1YK5fKw/lTbLmAuDjfa2Kb7pYNzHgw9BMgbswMTtP8Ys8+neZwqFqC+N0Ok/Ldj2mtlght\nqGYpH1f/2obVpeHcEqvgwEX5svMKZV94apZotTo1RXO1BJhQejrhK/O9OjtKDctPC60BxDXZ\nAWPMQ7zzuuj6AnH7OL5p+gAAn3uql2gHU7RAwF1IBrxeLh9jha/JdX0jULVCSUggb8SHeltY\n3eu+mh+0gwR4rYXqfa3Vz/Huo8RyQUxoBMTPlZPM2BolWSMVvGD3rfLfcsstNTU1HUtLox/c\n4RnUtYcTfFxvLsud62ma593tVNfp2w8q3Up9/co9XFt66p3xhesO2+6Re+aoPTqPS3v/1u0k\nXdebd1SivZ+9sfufJhEIASJB5rAA3IRB56ErgCycs/CTC7cvQm9jSPGoM7GpAYYKk4K0rh4B\nKMhcjOgAjXP+EHb+QBsJ8LIxqK/QOOdT1NrvWVoC7+lKdVKBt8nquy/b9VgzCODW8N4DUqHV\nD2cBF0RrTOKEuDzclhdtXV0x5gZeOMRjrrzyytI3H1ik5ggwNVMy2vJawEXRmgJxfIK9kC55\n2l9/QMoTcAHY0E4ww3/KRi+JHMhSWxXso0RXDXjBl/lYMwDckQ+caGn3hhurkQcEAWQhn2OE\nlqiZJmpS0HeT3TpxPBjQFysWgPtygbMN7c5gYpOcI3BtKA6Unq68R7IFxDBH+Zse2sycm0Ip\nAVHuyrNT4W3MuTaU9qDAQWzIFFRACIhyLs1ORn+QnfuDKUD0cdR39eA/PPwFb96PLAEcSACl\nEEzgiWxwjKNFIhG0E7v/Kfz7EDv/J39Xzjnt/7+pZLhXO7FrRzt+Cf5tid3n3n2fearGmJ2u\nyfZrO56DdWdshQDuSB95ZEvxZoXS9K1n136mE3AOSsEFiCyUcidyYb5X3iv+Jq8A8MTPI605\nGH+KFdnYoBEtlAvAD2r9e/5KGY4Duej0IiABrh1jdlzkqeHgZxW6nZs/1P6h6MMTwFW5fuOM\n0tbxH9Wmt/07FJgccmscmUGCoA6xvFx98XBWt4FDXFgoOz9/qKPGi7GaVahXIHycm9Rs8Z8V\nz6qokXaI1f0+ut4gbj/HP0Xv3zp4T3h7jZTxcLmfG9zKdIsUS4YJIAjI9dleE8zmKPOzgb3r\nlDgFnREf0kr1Hgjt28pyqqAv6L1n+qp3MN0mvFUGpA86TEb/UNLUuXVzbBOHO8SK3JfpVTz2\nCy35lq8OwAPp7kNs5ZVA3SY5aRF7We9r8rsPL3EdtODpOyde8Mn5d3zxxReHvbVkyZLacT1n\nYbcLC4ABjYL2QuAydJ2KrYA4CZ2nordlWVnLOte3M094V6HME4NGjBixaf/eYbWfqzIRQLG4\nNQgv4KZhyGALMLLo6L0Am6tgqpC+wZHFcPlJYnOOZCm41Lx3FCCAG+OeWZk+Qoht1Lg1WAuI\n4bZverojgJ7jR6e37Gx75lLIPyS+SJak2fEuQbCtzPpTqA4Qg23vc+kSALeGUhuYI8Et5W6K\n2q0l2AGuzk12BnB5OFEluRLwvh4pd9g/vNbrHl0AxzvevTSjt+ikuGAPZUrGWcr5kXgj5TIw\nLx6NQLohlNnCDACPZkIfeYwNzCreQhKkywqBHLHmagUCcVnBf2ve84rXfttjAbjUYFcZ6uWh\nlEHs4q0S5WoXTjYxQ4Dcmg9eXlAuCZnbmQOQ5zPaWIueFCmYtOAX5J+pSJCDUtpO7P4n0U7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FUBTsvNiGFZodk0ZzVucCQ5N1PtQJ5fhZpaqr3JRg4Skra5MAyIF5SLIeoLjS+yH4\nFmUF1AgkbtDbVJf/ASdi9RcohMC/wPYA9kdXAI+r3M1Ub8DlUALedKSnIw1QJbXzkkL0UAd5\n5AGs03BMvE5BjSxHzihZAKJgJ9uJl01DAcfZ1gbN/ZI7ZRJz9cJcvQDAV9YiTcsAceDBgPtA\n0AMwJRvYSVQvwiNH7ce5J4QadefTgwYNenPXTm+Ydp55DMqDsYBzdfW5uOSm5ueZiI499tgC\nsE9SucCuAs9nq7PL8VH1je4RfA1yiuVMsRwGXsmfOLNsnlWqqneVhrsIvJQlAE9k9f4JI8ek\npWRM+Tnmf67bQ+M2AAk6Jx+adNa5M2bMoBnP6fvtQQoLKdEBLAXcs2PXdas2isuu9qe9CtMw\nDhzoj7sl36WTAqC0qwPajWV/eFSxmy5PBIO56/7s+z4PhdjY2+nMUwe6/n/nXQEckNDXMB+Q\nDqwJwIPMkcmgBxVTWJiyOfC8aVy8bsVmrA6A+/FnhOAiXfVMVtXQ4Y5/V8HNAbvXBMokE5IW\npksMWKyHCpIz4Bin9L7Bclw9xBkAJY3DbG8+5wdHYhLoLcQ7+WwK6BhLlgmtBFtczE2MhG+H\nEJqvpOYo81LTPNeigkaWxIJsfQLYwUikiVkKC/I5Heil15RMIgal4cJQ5MIgQGgt5Ff59DtM\n72AkFdBbiXfc7LUsOFvqYIgxmdPZ1KA5FWZSqfdymR2aBVIrHAvA34muNq6xK5fLQohfJILs\nb4h/RKRp2t/qufkx/FuIf//f4CoTMviP97OFsvD/BRX1zjTNf/5H/S9oUexasDXxr1LsbMgj\na9Yq8gAwUFzqfTzrjEIsAe2s+JplmtdVGPdn2zdvMjWQfzBYr4Fea6alpUiOiWz4Ui8ySLeB\nLhFYQLIuvrlILwFqgtOln5lAg4/dEi5Oi6UBPJJNdBNNb0rTLfuOUIFDdpK0kdmyQaySIAYF\nxcfn2lb2Z4xJxgbG1rlQx4jIdX5tZcbSNO0+pCZgA4E+xQ7vo/QwUsvhNLiNEKACMPoidC0S\nnZV+IlbPp2JIaR/b2zTOSU/q9p1Bh4BXsqFtBJLJ5Mco36DWrSKXgIbECxaSvJcw5hhFQJ1f\nih1frhKpxVyeGCsDuKxonWhXZ8e3DFwY8U3YloJN1Ji9UYnrvZQJbdswQR8Wd9ZoIi6199NV\nSW8Fx5CYUsBRtipr/udclJSoP/HC0pRXqmc7YF183vmnXz36D3HlA0MdjCtUn8nDYuxb7puK\nfZZSFnBvUD5p+YI8BbgwJVhMagM8vGb6CjjUwd0FAmADe9WQTXI7X3szU52bd6mxBBU1oFFR\n8xVppPxsMVPb9cXnnjvqqKPay2KmULB33UstX9F4Walzp/bzZscS4fWa3xg3hzJuLNIIx72X\n465YAMDNRW+ULQAcGAst4VID+zhjfxQO3qmhnqpJHppkO3qqFdRHJuQnc5z+B2w2qgOBwKpV\nqw4Ohb80wahqekyqugTyDw6eLJQFsFM0kdVYVKrF2ZQFHKbH5jKucWERipw3Tmh9XTGzmH3e\nMM8NhhVhqONOLuU/0syjeVgBuyt/H3IfsgJ2JULroY0tj5fOBB6QhF5KvOdmX2PGKB5RhP5S\nTPOy5yP8bNCEDniADy4hGKBwi1c6W5V344lVGtMUZrrZbSEPltGlmra94c9xMlsgvv3K5Alq\nhkYN+58n/jUngn9f/GtR7LYMjDH18jQcfsQ/3hXVxP+pip1Sql+/fnPnzn377bcPOGDze/k3\nRguxa8HWxL+K2A2Pp9ZqYrCrL+F2hnn+pi7BTLFR5drh5abXvrm6fX10HUAv1XcIN9Ot65gc\nlkgBGJ+N9hHGDKs43Sys4Y4HVXF/tRFg4NvAPBKx4+r91RzDYxsB3JGP9XebnoAfGuLqSBrA\ni5lWbX1UppPZunt9sN4lV4KJBtZoQOsEYznKAjgaiT+jKSf3AWTuxToGNhtd4uAApJQlKXvx\ndRKilSSbeY2evRVepRQbn0vs3qCWPRoQE4IOA2ZkQpVM0mQy+RHsk7ABwF35QFiqSaHyMu6J\nBtMKF2ZI6vt42pUFbSnHGbGyAt1SsA53qn1OsXBDSAGYnKW9BQDM4fKiqGeTAhSrZlOypOR5\nkg6JDlJ7rYHVfcZxcgwARpcwqhqIw1Ex9i331JzP7U8XoiauHzyYta4W293f1R7MVy9lJTM0\npthnqeoja3TIeMbSGPB4zn4iQF9w5ZBqNOmNp0qpi0bnZ30SXfo5aWyAjYeKBCAD7FYTFKR2\n9uitXGnZsmX7zvkgcP6ZnIQA98CVVLR2g9ahrQ8VvOPu+iuv3WywDRs27OGHH37Isq6xAhaz\nGZRPhGqOsyLg1azTW0gX2LUmVCBZI9mX6SKAlyOxMzQOwhG2s5z7P+qQRICSikXTbl37NsrZ\nZMrv06fP2jmfr+XMkmpxNpXm/NBAIKtLgnKUqcDaeHIDZ5KwlyNmlLI20N2syYGiUIudlAX0\n5/ElplZR16rxfAIUHi7mh3nu+Vr4Wc0E4U4DZzn5i339EW4B6OOL75hWrFodIyzUJD//tGa9\nwQ0AY9ziKGUPlPGvlcYIL6vsMk27RA8rBkiAEBcqx0kSOvpygUjPlMapKuyD7qLCSWwLE1q3\nblbsZiLfrxf/fg1UMzQX/ILBIIByuWzb9u9f/PvPI3YIBSygf//+f2cXIho9evTgwYO3oPsb\nb7zxpptuOuqoo1588cUtPcSthpZQbAv+7XF+NLNa868pxA51mjTwr7lzcySTZq6EAslHghse\nCUKBBSXfRho/8IICPZLdhNUVgKMSKQV1TaFqxjHUDg21QzZwYLIO8Lv41kaSOSaXo3wvyvcm\nqw23FVZbyRunhy8NcbWVBuh5t/1O4UBlI4C3UL8RIQPhH9BxDcQdqJuLYh5iaUPl1heR+1DZ\nB6jQRTL+HGXu1eoI9Hq+FcliRinf9wWwT7IkoA53gjcXqvrZUi5PidoeuQpMkHZGrAzAAItI\n1DNJwMxUqLbh9W0mymdgowI9kLX2EQzAXtnwHI6RMcUhthdqPfdzTM40/ZnVc0ndvMDeTnWS\nmxTA3UFFwPQs7dRAKe8P8QyRDppfj/cMPBD0VmtyI/MIygP/kZmDEzSyrFopXBhWBIzJ0+Fu\nte2gBK1hflTxz3fc2+y5fzgcPhPOcygxQEF9aPg7JcEVFyQB2dXXZjRIbsNj5mzOdGBefbkG\nGOip8QFzTJAxyPbCr2ciUxNkT4yPgQCUf1q/5LTzMHXq15wNjVkK6khHTSyUATy+YIF37qWe\nYpj6PMbcoU8cz/ruSh3aVNzmcqubTFga8d13350ZDr+omwRMyXn9hACwbSLmkiCASB0eMzVZ\n+UP2dzElXwRwViD8Auek8IqU+5QLGaCHkbQJQe5B1zfGLTz/PEYcj4bXoUA8/tX7HwnOurn+\nx8UMgEO08HpX4w5miuxtJn/PZOt0BgU4WOaxK7XgI1pAAXtK8bqXTUnsYCXLhFpbLvLTALbl\nNbZJFTXudBY5w4Ai6MCSMLoA25ZDKzjjEh952R0heopEkYhpMDVV4HQSjwKAxBNOrjeTHfyk\nAyRIfcNSH0j9EhFWPnr5YojujdMCGZ0AwAF5+BOLvAGjLeQMLdMZvxc282uSardY/Kvs87e6\nDQQCFRfMLRb/WrCFYMzgvG/fvn9/r9atW//9HX4REydOvOmmm/r06fPYY49t0cFtZbQQuxb8\ne+PuUGG+7p1YDjRndQBWa7SGMQ2Bt+trLeC5QGmmWViruSXm/cBcgGxYJ8ayNZINcM0zilYQ\n7PBknQ81qhw+1NnkJfXgZEpCHVUOX1oKEVEoFDJN8xFkb0MdgyBgObdPidkAcfBW0NeiBNDT\n6NjLaNIIr0PqJRR10LfoqJRqK2msTEqZ6GVuLEN2keTDr2feRrKnUHkKqwOgwHbyYmskIkIA\nEMA+ybKAGupYjawOwPUhVkeBmAx8nqZ6yDvC/me6n2WynqmKhjSkptzO58c4vL1UV6COgCed\nmp6iKg59oOPMqAIwKafv11B2fWxIPmYJDdKBsUBH/6QiQAdzIQn4IENtG4OtMfqB+yHF5qcU\ngINd9Hf1XZMBD+gmXMHkWqZWM3lrqKIWUWtfI6BiQLN7Ankmt5Hs3XR1ArsZ4kn4gPlc1tlT\nqL+E9FcMlWM+AR6MrzTevYbt78mvuVrBKKLwVapceYSdF7amm0Sg97L+9kJ07959w2mn6T26\nsbWr0aMHO2jw8vde61hdVojrS/KMsgPgScu6/7T/AgGXX4px4wB409/E7vvCx1CI+cqr236T\nROkKVh573Le6aQKL0vUJIA30iCUdYEeXZhcyb3HtooCV0xVBOdJ4V+O7hCxBVK+TqbBaQ43E\ni+DDzZgCDpfuY8U8gL20xI8HHU5ffatefgH1ddi1d/moo6Fpf7Ltu8vFDNDTqCmDWkF+66YB\n1LskJZjCAcL5hBsbGXuYBQAYvtrd86Zq5jlmWAEHe+5TMv8F+CF+TPro5Yn3KHszBcezgNIA\nCY+hZxY2QWqsIrAtkryNTPqE7ZX8FOl3HH1EOqoClQUEOBlRCIAwAN5LLHeKG5mhGQBuUqVz\njXLfQtyX0AgHGc67zFzJ2EoYhzP3Ecr/6629/o9oXPn397EZ1Wuu+TXf8osNf/3Kv1+kfY2/\nbOE3/H8G0vVEPH777bdv9Z7Hjh172WWX9e3b9+23345Go1u9/y1ASyi2BVsTv3Eo9vFA+aFg\nYZBr3pLf5HZaxMWZsTSBpqVqa5sN8EbFq4+QG5mfZkI2ZFlWpnxLsvPK0aNds/Edff/g2gKJ\nA2X8HtWq8UEsgJ2w2oMciejNiC+FOxbpeSjlUTXWLyFIoJjS9lTmpa75imbfp5c0YE4majR7\nEe+fKBeZ7OvpD+eaqOT1YTnDLFVqszYcG3FolTTSoY51azNWNyKG+VzFJT5NN4kEY4PswYDP\nQMfZ8mPDTzFRcQypdBVC+BhhnJ21LeBNExeGFYDHs7RPgwI3OUB/DioCXsyih8B8jjEhNp8r\nBamq8zuFJOsn2Dea/FnzE5LNbWBmG4j2rDF90HGOP7ZQ1eWuDpnPWGAQBppSfStR8m19PjNT\nJYmXxMJTuU+g2Vl3GyEALOJ8YCSmgBNcO0tyrsFKTeYpaO2x4xxvtOMOjQa/0hVX9GWqVBkH\nrSdNkhMnYt266q7hsL74K9axHQGuNKRiBhDz5UbOSME4aLDz3nsAMHUajjoSUg686KL3Jo5P\npVK9VqxbM3BfZDNNYygaxfyF+rbbfpNJ1QCzGD8qGlOEoxznwVIBwGksMl03SOEJNz/ZsD42\ndbsSBhUI2jiQo70mH/AYFMaI4ihpZ4CeRrJMaO3LxSINoJ8W+97k4KiMJtZw8YZKb7KXywC9\neE1Jo6QvvxFpDuzjxX9gGmMI6TLPWNOiOltMp+ytKjhJBgBcRuUrWWmcCP6FAgBOUU4vLq6h\noK0TCHARtFUnJZdwDcA5qnyzXjqjFHlZGABuMUpnW+UB2dhig6PydVj1njEk5uuplUI7vBzz\nFbZlcl44/ZIwzy2FQbjGLJ1nlPEP49/aoLjC7eLxOADbtn3fb+R8zeXALe7/fxX/toD//eeF\nYv9Ja+wqEdh99tnnjTfeaLQ++Zejhdi1YGvityR27xi4IVJXMWwzlNbJN450jKNtPQN/aDIN\n4L5srLfQmzfpV1Mqkxph66NLZuOL9Semf75RD/gA09BYvYAiMMqQAl4fhJ/BNs372QlryvAP\nR3iCjDemKayXcvdgSQGHe/iRuWs03wOa10Lo6BsjbG2EXX2CD0zYGeb3FsZj2aaDfMFkV4d9\nBryV1ToJ+RNn44LufM0vMkmQNkwJzoA2kh3syM909Q3HZqzu1iCeCCgNNKe+wZgOeMzit4SU\nAQ/gCrLxOyoo1lDBvYLxQXZfwCfQzCzr3FC4c1Q48I5JXOGZnH13QPtW9x2SDRXSNENaA4S6\nqWCnNTo4ZkrgvLI3uiQa275tgoNI/JazAAAgAElEQVQW1pfigA1cE9ZfNsBIeNAlNACWYrqi\nPPN1sDWwvHRaSjnNME4PRkC4o1w8zbYBpIBd4kmfZERJSZ5gTedWKTYx7w3zXAADQ5Gve3TH\njz9uMlwuuFC76+5FudTTZuBRw/qZs8rFIYWQ7Zaffdbfrz923B4lu9vA/b6eMwecJwsqBwq9\n95Z7zGGe5wHAdl3wwIM0cLDiAEANVs4VTxAAfbTESs4siUVefRz4xOfDEFPADlxkOKsj1mj9\nvJ3w7xAFEIYbMUU41HOfkHkAvfzEz2AWqUUs9T34cC2aZ1SxnCOJGiFTOlOEQcJ73s9t9LGb\nTNoMbXz5jZEWQM98YqPGKAD4zWymgVcpuw8TB4nYfOIMeJmy+zJxUD42X3EGXJHA4yW1TiMQ\nIGE66lC4n0DfIJkOzIlmLMjdMzU2Q1ypxbHUdMc4243ABAQgmvI5LtDL1wdKp5ci04SxDck3\nQtl2bOvoSf/WxA6/Lnlii8W/X4O/I/41z/9t3P93ROymTMOhW4PYdYh3SmxlYnfJJZfcfffd\nf/jDH1599dVwOLwVe/4H0ULsWrA18ZsRuyUcR8VUrfS3k/ZKTbgkmlEoAlStH7ykFBzk88YX\n4j8E0uvIH6jMx9G6+SKYA7HhO9hdYH2A1gK4D9nXkPsZtoCsWL964Bp4a8WH+Oa5Dj8omE2T\n2BehifVNx1MA9kpCQF1eotObKRR3BdjjQZsgNaiGuvUgaD7A4G/v8xcyTRHk1012cdgHMCOr\ndW0gVQLolrQc0KGu3M533jDZBiYbhUYChSTbU7ArynI7IW8J0VOWZKBP69GoYT4U0G8OcgLe\nyXr7xGIAJnvFm7RKDa5K0QsAFJQsodgazSPQrHq0amg+LBL8wlCWYt+mirzhkLaP15RJxaVQ\nmrSp+eRNOwn5eMHbxvcBHB4NLtSVqWhxqlodolGEO9cpX1wqXR0OfKBXA3W+Ik9aEWBfx9ue\nxEQzAIXni7lBngdgMeP7x2IKON5xJpYKAGxgu2ACPy6S777nez72/wP69CVAff8dum9S5w0A\nuu6w+uNZFucAduGJ9RqLSdUP4iOLFzXC2zNx111YupS17TD06KPHX37xDgUIoHch+1T96tra\n2tu++f7e2vbYdrvk9aOz992D7bf3x45XBwyGpsEBJEJQNsgnbCvkPD8N4DY/OBYBALex4hlk\n20B3kcwROAc0iEbVVWGAI16i7ErwPf2YAHaEP1vLANjbjS/VNK4wk2X/zIIfaLqstLIRFaqv\nFB/ougIOV+5jPL9I8MGlmA/szPxZ4cw6UO98jTBADIo1MnlEfPWDkcoJ7FpIlhlqlFrfhVba\n6LYMnkKCy4COn1GV/QgYCndv3bvWCwE4hLlPhvOnpCIzXAPALdHS4UGnb33c59W9uUKAVB50\nnOHcbxU2vwT/AP4/ELtf2c9mGR6/+HOL+29ke57n1dfXt2nTRtf1/73ZPw2/W2InpTzrrLMe\neuihIUOGvPzyy5V1k78ftBC7/3z8llXtfhtiV8cwOK446P0MYoo0TWOMuYw9Ztj36TkNvg/d\nRzVRkQExaB5UEX43GG+hbfOuTkb9BygmlT5PtpbNcLwl5mheXLL+wv+Ce1lWUbmqN4sA3wXR\nEwreEY4EIIDeSQjgv8q4pNmXnm6yy8M+A97LaO19KYAHg3KGKVcyoUEK6JVgq6nYtj72EPSU\n5QP0apbt+Fes7jBHPlBoms8OiQYX676hfAPKI7/Rf5igFOjOgj7MqS6XuzvAxwV1Aj7OuJ18\nP5lMArjeK9+lK4A+ybo/QkwI6j/wqggnwWxlBSXrJdTVJfvyiPkdR1DSd+nqF3OB7RJJBxjo\nelOLucrG2wKB8QGd4GsVEQwgRUoRmIxIWtzQ9nXDODkYAeHucvFPDdPbjtFESmMdhOwp5Sc6\nL6BJaop6aojn3uYUZunGqFAEwM2l0jluGcBqxvrqCX/COFx3RWO1Blx0CcaOxbwvsNfum40Z\nxtiGDRsyQHcj6RJ6CPGBnwXwI/je095Spx+3yd4PPYnjT2ov5T2L53WPhK4MtXot2Qr5PAbs\njh9/aNpth24LZrwysVXHKWQWNYICPGgeOkNqUD+QpgHva9nuEIskHyRjkvAHDe8mZDqdHlCI\nLzY16IBqcE1RAGE4ufexfMrHrrKmzKiNlN/oaQD9cvHvoXHgWNN+HUZWY5X8Vm5jgPJ6GGK8\nEwBwvlG+wSo945gX2GEQjmLOg+HCHeXgGD8Ao+pLwlQ1dfkQzXsmWvxvP37lOgAYEXQmRAsX\np0NP2hYYYprM6Q0So8KurvdiIrdXKlEvmQl80Ta1wtaOSMd8Qif4L7cuHJKKbOCMGB4P5Ifq\nLrYqWojd//Xj/lfy92vSfqWUW32O+D/hd0vsxowZc8UVVzDGhg8fvpmo2bNnz0svvXSrfMoW\no4XY/efjt6xq988gdputRBGM7WOVUoT3/fDO2iYJE7shtQpyIIypiKYg70HubdjrIUS1vAQD\nFAOrUbyfNC+xtYm6/aJhm4rmpjZ537o0rL1mirBiX6Q2uTv6xXm95hGUQqMGAoaKYKWGujQu\n37TzBzqdGZUAzciyRvkNwICE+RNjXXw5oeCMC7KvNFliaFh5RmUEkpIN8PxrC3YC6Ja0XNCh\nrj8p3zRTHhwNfqOruKSvGwjTEs5OCJsZ5gHkUYUsgIOCknJMMmBefbmiwCWTySsgJsIl4IuG\njQAqlQYMhf5e6SudFSsVpwAAUvGdHXaJWz7UczNAt0RSAMd4zqRCVZKZYARuCgYJeCuX3U2K\nRYzdFLRmc8aYFErzYJBCRKlOQi4yNCg8X8gOEgJAAdgpnnQa3DpM0wyHw/0L+ITAOEymyoya\nfEUVDiq5j7p5C/gQ/Bgzpr7+Ev37YNPFQ90nPT7p0AMG7LgD7E2WdmlDDjtlytTHNEsRjvKc\nB2UBwEsw/suPYK+uWL5p3LZdB/pudZXTSICAH5Zgv774qyE9fPjwLvc+dhsCIJyp7E8kX0K8\nwW0GYaEGk9edidsoCIWrTfHnOC9J2WYFFUC1TC4OpxnQrxj7XufVhWsAk5AMAP4o3Yf0/EYf\nvQtJh9BByS9jaQA9NiTWSabrqDXkOtUUkO6s/AeChXvt4Eylk8KjgfzhhntyKvK6awC4J1rc\n13D7p8KOoYMAByShK+USMWBa63I/Vuq5PrFWMa7wSatslESflckygQWUUtT4KQFSXydT1+XC\nz7omFC4Klq+OlUatj8woGp25P3ObXO1WCr82Rwux2+rYbJHfX3M+z/MMw+D8X5lh+bsldlde\neeUdd9zxi/8aMmTIm2++uVU+ZYvRQuz+8/FbVrXbYmLX/LFSUeCao/meeyC9AnIqIvtj09xV\nZOfB20HxWX64ufZ2oyEeN4Sh6CBPLuB+hvkKzVzvQUkZOtBR55VQWSJxRxCPBpQOWlTfvHuc\nEDVm6VorKZc4WiAQKAC3ltNvmGo1A0HJaryLuGLtfLa7wMuWIKipWeolmjoZHDe/11hnqT5O\nNz3c39O1k6Mmh99KoE7TREVqBCox5aDE7UXxR7eqwA2JBhfrKiHpq3TT6T07HJ6qmzrwU7pe\nALeHzDd0vkFTjcZlpCjmo7+rzKDxIlwNbEF9MdHQ/I+B6CxLt6Rank01PsV3NBI5Q2oMrsab\nEkwAEPp53iuFqlY3OhB6xLKYwrx8ppPvAxBAF7OmBOojxTi/eK0VWqBrRapSNFKI+GpfW5wn\ny0dEoj7hj477UCkPwDTNXWV4GUNcqqVeqtL/4YjMMQ1wNBr2NSYT9D5n5MInJ282kHr27Pn+\n++8Pu/m2j8ePbdoaT2DWPHgeXnoe6zbEt995zAnHLgyG75MB5HPo+gtLnr/99tv1te0H+hEl\nS3jzFZx6wl/vAyB07J+KE5/QFN5n2e5MrJB8z3zMJ9RqUnBktSbFq60t7476XQL6PmshgYHc\nmxrMAeiVTfxMzFTqm1BqA+MHl6O5SjaDA0gEJUoVksfch8L57wUfUBcThB00f05tJiPQa2NN\niRHXlNLJbyTBErdoxTMido+NiTqfmYSvkvXLv/36YL2XitegXMKRPczbJju77Vd5QyEgLlWW\nSDJ0gfysbfqRrDW6PgRgSMB7ul3ulLXRGY4ODaRBNdyOpDAzkY1rcujPsTqfjYzaY2qLv3iW\n/nG0ELvfGC1r7P6t0WJ38p+Po48+erMt3bt3v/jii6+66qoPP/zwtyxX3Ph2WKFuzf/8lXag\n+6P4E3wAxyAfBOsiteM8OsnFpZaYp/sxidfSfhbZxv2nmOxxw2egL1IwwAAG6ADuDrFJlmTw\nFPTVTD4WwGMBAMRBAhKgeZuyuvPC5iydRRXmpx0EgwDCwOUl+ZQZKkPu6+LGsnOPpX2hqxwT\nq7m/mgOgEoLDo6y7p861nUGef1jM+l6jNhLNWd0czk6JGgQ1Jevt3SDszebs2GhYwSewEpMX\nRPgF4JoEwHwmE5J9lW6aQc8Ih1/WTQNYnq6vPINvLTpOgD9mBTSFW4uFZyy2giPN8RoH4CrF\npG+dFOSX2sVBUhwSjH1u8rBUy7Opxj67GjUZol1d+a6bBVAAzg1EZuhGhQfM1vXaRJJLGL4q\n6cQVlmTqK4kaKaC7kRQNKZwAppWyp7DoDF3nCnuRt9DgOUZvhPU3oAPQbZTKtILxDlJ0UeEc\nQ1eJz/yqW90QGftCcaOEJVp9FHiJmRdTqBr0JCzctutfjxDbtm+WwY+vvQtDjm5/w8Xu8h87\nd+7c9v5nZnzyKS4YCdcFkAHOePohvDILIfQ1zfmapv7K1Uy07zQ4FVQKyQcn1N9+1d8akMVu\nPSJS/aCnOPC0bV7ohkE4SyvfGioB2HljYqNizAJTWEdsRIYhAwDd4D9m5VaC75mNCcIO8OfE\nMgAG1UVygnTC3FbZ8WQ+5Zulypd18Jo0divGVykNhNOD9u2R4usl45RcRBEGad7ztbnZJT5s\nfUxaIAalcB1C1xVDAKJQ37dJzXL4scn9wQhffYYT9sKho5xu/WFjsOl1jOpPZpHWqmyyzqee\nyxNrFSPCo63zBwbcrssSGTALmNcptbioDV8ZUyGQglI4qBwDYJGa0i43OOD9rbPUgha04LdE\nC7H7f4p/UlW7Rn6maZplWRXG1qjA/fp+5C/hGpN9brL9PT3N5GqmiiS/Zv7XJq4zK576aO8b\nT1nqJLuq7czi6oawD+DDFBnNslMXcIyzTAI+yPIuQgA03WRPWfiWw4WvQDYCOyQBUFjRTp6K\nkPhAZybUN6lNXrX3iIdSTO7q0ZR8CcCkggTwPef7hmMaiR18sY6jQPIzA581vPWSwr62WkfU\nVikA8zg7LmYCmJJ19m4Wrj0+GHcUHVLGk3auANxjGq+ZfA0nRUpK/jOMVnErqFR3zwfD5zq3\ngOXp+sab+exAeKpl6go/ZOrDwBkeAPxJj77BNUOTAc5zDJ+a/DgzVmFIzMdFhWrgUgDbGTVl\non2UeNWtUuR50GdIAw4meIVjpTOWB583zBU6E5zgQzjY0Ui2UnKA9F7kpgROl/btXpV6Hshj\nCzQekOonL8UBOJgqzbMpDAMmKRc009RnoqqZxQRmhIE8APRUibWKxUktZVXG+ZBjFRkZEou1\n+udYYGyPPk1UtAF1p54/XgU04LO9und+cwaAA73YjEIRl51ZYXVVLFqIMTfTDXd+YZgYfgqe\nebR5J7W99+hZH0QhV3vlqPTM6X9zmAaCOGhYqUx7lRK1zP9C6aTwbCB3gOGthrb7+rgAdub+\nrGgGwMEbYvMYJwZoWELatoVk5eTvD+/FaG4dqM/6GlehM5df1KYBvFeI+IoMhdvj+fHl0HLF\nVkGrqGuv540vynyB5Pgf9r4zPq7i7vpMuWW7dtdFrnKVO+42uIABF1ooJoQWMARCgOAAIQQS\nIHQSegmhg2nBCRgwphiwjXHBuBfcuyw3WfLu6mr7vXNn3g+7siTyvO+T8PohyZM9n/S7kkZz\n547unP2Xc4DHA+lLfLnbYr7nLRPA7Z7MDWXZW+t8L2XNgi5JAyXlNVEogAJ/uhfP/g6PzcaY\nU6AUu/3iGX/904itZW4WDLigde5D12hQpEESKHiUeumw+RMRUARDuPi8s3XF3sAH9TqA272Z\n61plx+8KbZA8wNW6ivrg/0D6tYQSSvhuKKVi/xPx97vaJZPJ5cuXFzaJUqq+vr75d791xTCM\nc8455+9XaGxO2lzXLcjBf6vr/gheNbU7fHyC477S0HQ854CbA9onugIkazRjBQhAdMVs4iiQ\nmRb6NkuG7uF8bIgrkHes7LHNrq/i9OyQAeAzy/lCY+/ptJoh3xRGJEQh6GKwo35LyBjTM0jl\ntxG3QpDFVlNKtIbSAaGwAp7PpM5tTBjVA2NDwRhTgGKkUWpEQZPEYUqBTLdyY5uxus6hSIaS\nU7LOm7mGIxfH6WUbCCuHfMpJPmH61mssRciRJgMu0daRZ7j2zfn0rzyBmaauK+yqj5mNvz5Z\nDy4kmlcpK0A4kM1mD2QyA3yRLCPEhWqW5VQECpgo7becYsHgDGpcrfmh8Fe74WQUozKj3bKt\nYEGoO3nmeWZWUWY3ToYolAl5vCvuZpmzaHAPo2FXbRdFDvaQ630IHgK8S6zjqQDwiTAuhR8a\niIJyiyMAUARd4K5kxQ02SIT3EVrmqh16caiR6fDOGy7D+280PcUxJ+Htz8GY4aKfFHfy9JUI\n1BHqmf959oJJ39pRXq+3urr6LznjuoTCjRdh7kfFbxx/Cp6aDn/Qd0LX9P5q/N/QqrzrzQ/4\nzrt0K1hxUVyYeQzTxHiPc1eDB8Bl3twjwbQA+tSEE6BBoK4fuJQjN7sriVZ0WW32Aj7Xk38+\nlNoj+Mi6kCDoTuWyNomcRN+qSAOIn6ghHrHc1XIUBV0Sb1adbDqbJdvhME6wsJNVycXI3WU7\nFWMS8ztbfXXRdXskqRNQFB9dITmfy+G0doi0569vFAqdDGzsn3x5P/3lQZ8i6G2IBKOHGntj\nWQ5jNOcbmyUkNQiW9a5vEOTMXUHLJde0yt7T7vtwDiylYr9n/AulYl+biUlHIxXbs5SKLeF/\nNe6+++6lS5dOnjz5v/UqnjFjxhVXXKGU8ng8pmk2/9bfXunbt++ll17a/EpzhaS/xd8/4SUa\n+52P93Blc1YHoJrzmToHMN9yegiZA3nRwz7RyV6mckQQkDyMSSEKEJ8i3YU6xxb3+pgCHks5\nx7Zke2eHNAXyjpXrK2RfIa7LAsAbunmjz8chu4j8IQ6LqS85voQCMiBQive31R7OK4QAEAeO\nCYUV8Ids+txmZ881ZvAg1YKu2mXFAayh9CGPsZKTLANRxFbGOQEPBQKuHOy4S3Weo2RSS1Y3\n1ijbDFYOuSGfAHBSxgLwIxb8gmmcoS2RhzS6X6fPE/N5rwkAEkOTYpniJxCBgis84X6oKjvO\nUfRBG8PDWUG65+UykQDwLPG8wozdlBUO/s+p3lqP+qRq48pdnBFgjm0Naixz6+eGD4F2JHIt\nTUBhisi9J42rlB8UPZi7n7AEpx9o+gfQARAHA/JiA+P9qZjq+KdTgyqs4FYFBIC5Urs064fC\nXUbmpqCsNv3X1GNh4e8oVFHWWkT9UmVAXIY+0l2k1wMQQGVDpAGk02PTJkWNuXPnCtet+emt\n4sKrgg41lIxRulrjZyEEgAi0TaSq/qt99WTac2/SC4rHX/lLuyUfvbO56oORZ4he/QBg0Wf/\nNaszvZjyS4w780+DO5zfyqgX9QMORx0gwJTpqsOgix2+2OEA/Ep5HbVO8Il1IZdgOBMLuwgd\nZsV6Um1rBsHGTjGTY/j+8EFQUIDg3azxftqQBCC4XM89HEkvyfCzD4YkwXBNzO5k7czx0TtC\nUCgzFWMqBvpho0tKpXI3Ztm42pBN0IbKTd0SG3O87Yaoq9BVya+6HOpw42PqFw+DAzbgmpgV\nByFC4Wft8Vwlxi73Ls4wQvBC+9RpoXz/dWEI6BramnKfoAtcDQBR6MfFi3XmszHTQ9UH3axR\nPvFfLFEJJZTwT0UpYvcfh6effnrq1KlDhgyZP3/+Ufc/mT179qmnngogl8tlMpmjsruWMHpR\nmVEm1fJErvmHxwagf9SroF5JOhPspgNGAJ3CUQe4JZfhEB/qfC9DjqDRBR0AfC7tLtT5trjU\ntuPAoKhXQT2SEufnm+qEPufaRf4gIVjTUN+xsQZrD+enmb4EkwCxiYbG0ngdKISsbs5nb2nW\nNfJTj/990/BKVd2sgm0L+FgjpIBX3eRewt4yjN2M5QiKo9ngNtoqOVHZv3HTZ+uhTYS3g1yf\nTxwZ4VweXMA0n1J77KZhx9DQFo0TgiNNtkBRPFZXapsd9wMFuZNog4pTcowrvhDFZOs+0CEi\nLAl+IbPjmf0g8a3TWKrQlKqAHHQXXeBOYfmH4alXpDfcxY2xtGeE53fES4D3iTWGFttdK1NR\n2wNa6CtpXKWCyu4rKvkD3QbwfN68Le8D8Ka34RTuGIbxDfWPqYEi+BnPTjHt223vMsrTtFj+\nRQR8Sg2m4mulCWA0Ex/4LAD7wIZaZS7BOOrM8DcAWJXjp1ghZcIgypZEpeoxqhMyLZTVQudM\nse59lQJftLL6cyGAPjWRBEgEKtaP9J5y7dbXn/3WViTDx6nnP+WGsbZtvBzqqzw/Ox5SBKdr\nzmvRBgAjqsK7JKUcBldZWrBMzWL6M3T5gujhvWdMmvDmRQ85Ct01d1mnegCDq8J7JdUV1lXE\n1tnaZYcCOaMomwIXhkKeAAS3hzI3RLNPH/bcVeOFwuWR3MMd0i8fNm856ANFSJMpSt3GSgct\nr24oyymCR+o8AK6OZu9rn7miKvBBUgeAJ36BeW/grQPwedC45YiEovATtbZ3fEmDPmVHQCkM\n8YnP+1tnfu0uoW0AlHvcOsUKf2WgV8yqsHzfY1igFLH7nlGK2P1boxSx+8/C/7Sr3f79RdP0\nv9Np8b9FnNIL/V4JN0ZJ94iHK9LGxShH/sIRJwV1BXVLRjZndQAqyyIOcKGTvzmbBXBjtsjV\nuoQiGepGpHSJSFP5jUG+Mdht8BTk38oc3XZUY74KKym/yB8EMN+yOsqmyvr7YR5yeFDA8iEW\ni62i/DHdu0JncVqw2sLDhucRzWMqdLFdnah1JjclmrO6bY2s7iU3eYawAVzjZAF00SIpSjrA\ndSU5TOh+SqfBnMZNAASI2vI1mFOQA3A2DS5mml+qKqdp2DNlaIvL/Y6qYnEAceBe6vszNSQh\nkLAZ6WJEiUTQQorApWSUI2bJIqtbK/kEGVIE96rMNVoWwAewrrb8M1yDEZyp5xdTLUboNsJu\nU97CfBIOuVH47tTSjyjfc8SkwNfM6g4BoFaSAamIC5ybzz/vTYFiD/jobDDHCFFQeVyOALJg\ngEtAgAVeqy8XAKZn+VUpgOAJM/NjPQtgKsvMj4UAXOjNHaZsqeJJQhapomLqOpv9UATPNOyb\nbJ8i+BnP3e9NA3gxaf4m7YPCPTR9bSAH4Md5/6e/ew63Xw7RSNwrj7F+8zQl2NAq1oahWvDh\ntSGXYjgTX3a2Aa/Zvvvf7kZVOQCa4Uocf6CsI5XfgIPg9770TwO5eoH+1dEc0JHKtZ0TACbv\nDi5Murh6FLatlUAdMG3TWuxNd/jt07Pb1R8QbGh1mQN0ZXJFRUIAU7f6c5KYabWiZ/yeOv+M\nvJHngARs/CHtfeyAJwNCgBldrBMCYvKO4MKsRoA3OjacEnLO2Bxa2sCJFzpUHuThw57CbhzK\nnZ+3yvbdFK51qQZcPPvu9zd8ab1RA2b4Urntx6Uv3hqan+WKAzZSglSuiBaUVu7vnLkkmm47\nz3D9UeSzuKrn4Vad9XsW5Lh2fof8092PpvhwCSWUcHRRitj9B+F7cLU7ujp2AhhohGOg98rk\nPJ1t4CTJlGzWPiukHhZ0qONOtTMjpAAwOBjey+gY25mZbmg+1DGB8AFOT8g572aL13PAM4b+\niKETClcxQYsfcoiC10WaAcC7DdYJsok13qL5XqamCWT9ABCLxQqT7KxFbYrLRe5E4jzHPBt0\nlmTkiAoaycKnVC/pXq5yI6k7goUU8KybOk80BR66apEkJcc7znuyadoD3PBBnRIAtIXGhCKg\nUn2ebxhEi3M7VYZWKB6A2s2aqN4QJ1xNaQcl1/HEezCeg7mZsSwjxZV1oEl0VHIEcf5KDABP\nk9QFrDil8zLB+UIzgJ3BYqFeXKBPOupqCBCZY9ShjfFFABKjcs49nswgLtYLflImpICpWvZO\nT3ED9LbChwntDLk6mKgXuDPv/4utu7TR3ADgEj6pLEYIsLgcffIJKeXzac9tKS8UXginJht5\nAC+nzVuSPhAcw0UVZUlKjsQCtTyOpc69wcxzGfMvOYMofByxRhgCwIn7ytbbTCf44/Z3Xv/T\nkwdsWXX6lerMS8A0sMYlBUBwlZF7IJz2eDwT9niX7K3F+f1Qf7hpDzGOW57tcsLJh8q7FJdR\ngWbREfJkr/1qxlTAaYb9eoekBPptDtcJyqc/KF649Vu7Gq+vRO+hhS8HUjGvi7Upx0/cFnIJ\nBuhifi8rIXDM2mjWRSsuH+uWvrvGu9NhR8LNISVzoHkKH9TGPnEA/ddGUi4JMvXNoHgKZOiq\nSJ6CcSVZUxUmE2pah9Q+SX+7xweFcyP55ytT568LzotrBHhhCPJObuo2s+hRQUElChlhbFqO\nm0fivLtw3h3IpmYNz4xq80+wIihF7L5nlCJ2/9YoRez+U/Av62r3/8AErawW9M9OcqK0f9pM\nS+EYT6i2INrPeS3DbE5ne0JF4wVAV+qyfItX5/H+sgOc9nLcI6wOgAk84/rsPP2BsKe5Vg54\nWvd+QPXdGksXjjcb52ohouBXqlK6Eag5VNOAWpYFmgSNu2oRm+I8O/+wSgM4TdjI43blfU55\nOEMfJnaCpRlZRfkq+Atns6nUdGG0UW6hBq6bFklSMlaI5qxujF12kNEOOblOS8CFAJ5Unkfg\ncTiBC+mS8QjBhSZBCGyCMDqFfR0AACAASURBVOR21pSrHWCHDzLaXcplWgLAZOQnIt+zPgqF\nyV54mDvXJYcp3U3obmJAgWRxm/S+y4zbzMytOd9KyX1E7Q7EC3xyp+THpkOK4GqVvc9bpGvD\n42W7OSMMcLEE2vhM00eFH7J8gdXZQDcrkiNkMBFzAhaAMo7lMe4q4oXaVh5/NOl9Rxj7CLU4\ngQuVx/G70RqhMFObXUaA+a2s/lwAuCnhey1vEoVPy6yhpgBwRU3gg5xOdPiYSkuySGrj4iEA\nUBjpOl4FAfTZE064NELVti5xdD2p97iJJ+4NKYJTufNG+9gXWf7T2qBVUPpw8ELGfDluFqzf\nvP5AJtm0nvAFMfgEPPDTimUnJ3/3eVYSD1ddTLlDsmpKp2VMKDAbex06PWbeeNAnFPqabnzW\nEzV/s6ujiz+LVQyFBthYp3ir9cWqxwuD+T9WpD6u1y/bGlDAKWHnzcqGBQm+q4EBGOoRXX3u\nRynDIrQw27xDTlhXVi2YAsaExMze1ssHzVv2+EAwOZR/oTJ182bftFoTHjAFV5FLdwcKizPB\nYz/YLdVtcaTBIR6Gfafjq1qctdpUwECveLJf+tQ1waxWlFlB5+F4PQmPH1u/wj3j9z/5OM47\n7//5X1tCCSX8k1Eidv/78S/uavd/w6VaYD1ld4nMRNmiYeIcPXhA8o6uXGsXz909nD+mmTO4\nnmfFtOOVgcCVAFHwuYpIJDVSLuRXqRYtvYN5uJ7R4Y6YJpMATOBXduZqZLqnowDuZpksJR8Q\nvYrSFCWrCvE8BaHQwfX0tXGlgXOArlokS8mpjvOsakpOPSy9zykPA7apWLAQUxPYCX4sQoqB\nM+QUWWhoC1FkISAIO+p+kUZjWG6kE97JaEcp12rFe+TA7IzuuCRM5PZAYg/j9zvmV9AOkaK1\nVILQ1k7UK1Vv5W6jNMlof+l+qRVvuc5F/3TUBX4ewtMRZLN2JpN5OW/ekvcRih7S3SepReh8\nSec38rN2rnos473Bm1kp+A8yIQXcrWV+7imqooysK9vtsjJH7WgbB7AP7MKEf7PiBa3AGa4x\no8FgCq4CKM4k9iuBYo9t75rwYdBOkGvKEwBuC2Tm7Nf35eEh6o5y+3XX2CVQo2iNWwxQTa4N\njNOc/YoukxpXWN8m1poBwLh9ZRtsZhBsbhMLcgDoXhWxKCFQcMhSoo07UBRz8RL1XpsGANMb\nzKkLN2HXxhNN8dzFEwHf7/f7rCzhBMt7Wysz7Pdxz27BCg2nGc2DBTk01KOuCtkM/nQ7Fn+I\ndt0W/uYzJekgQ8yttABM2Bhak+JMQ8SUMZeuB596gANgCu2JTJS1Qc23qV3M38HIYP3gWISj\n3zdlhwr+rw6m1xjTDxqFEOaT3VIXt87/epfvlToTwL2dMte0z9663ZeLAwTntcmvcbSdiu4R\nxWaXDRbtvyJcIykB3qhsOCXsDFoc3udQDizsa4V1MXheNKeB6FAu5mT1HouiADxELRqZvmKF\nf+ZBQOH+HpmL22ePmRvJCuJhyr2tn33Vq+g5AqYf7z2A6bcB2LVr13//r1tCCUcROeCo6F7/\nJ+UmS6nY//34Pl3tjlYq9kIWnMO1AVLMdqzmnbc3a75p1AxA7c63kDB7AN7HDI8hsd+J1QNP\n6t5Pmb5Po1lCQAEXyIMomEpVKHmqa8+h2gbOu7vuMtHE9gTQWUZthWtJ9h7aNPk/C+N64icE\nPYi7j9NcswwXAOpgcF78mOQv4TkAT8Jzr+tlwFZW1OwFUOein4pK4H6a+RnNAqiTeID63lSm\n0gCBI14YmgsoOBwdXLlOb4oYnZgOrXd5lMitgaaLw6xwFaHtIe/3pp8Tno2UpY9kJ20wBxEl\nR3FxuSc3OR2UCtdr2Sc6egpP554Y/uB4iMJCn9WHF1O6lYfCcUoZVeDNbAwAAP0c8adAur8u\nAPSuCx92aRcmV7YuTuaOet+zOZMoLGxt9eTi4bT3jbxRSyho0UGBAEHIpKKSYBgTn7Yulvf1\nqgrHJC1nckNFomAp1mUN9gj4iOrhcbe6PMcaZ+AimFfDTHFXq8zkA4HDkkaZ2loRB5AQ6Fcd\ntYEBTMyvsAD8Ja5fVxsAA5EoluTlsvjND/HVJ4XBdF03X1rd0KlfGVNb+sY58F5Cv2pfAMDV\nrZzszm9ey5WhS/cCyUMWEDZq9qFTNwBXh7P3dczkBPqujTS4JMLlpqEJDkzZEvzY0giDV5cZ\nUEWAedNxX0vLCt3s/Mr61aeEbYl+KyMJRQJUbR4cPyzZsOUhwUlRcE6BKCgKprBkkNXdFMO/\nDu/OUU7x1Uiruyn6LQofElQnGN/KXpDS0iAggAueRzfD3ZlnLlChy1WjEy/vMW9Z7wNwarnz\nxrCGC5YG58Y1cFAKeWRtJe7vmWuvOT9ZFVDA0LD4bLTV7Za3G8ZcjUw9HjwZ1WsKPzhnzpzB\ngwfje0cpFfs9418oFfv8TIw/GqnYgWWdI6VUbAn/W1AoBZNSTp8+/VvfmjRp0j/drvhv8aY0\n5nANwHrKOxpRAugS5VK2hVxOOVfYbrdgdW9T4zHNwxS2OzEAZcCdduZOZJ7Meu51vRpwO8+8\nx/SdhKUJ2ULZFuYBAIl9WTYU4XHEvplnyqG6uREbOB/55qzuM6lfT/xEYRmzukHAhdfwEo8n\negAZHVRBSayifBX4ja6vUAAH4C6ZLms8NQ8XWB3B7SpbYHUAWlN8ZOmKYBQRswLWJsIfcjzL\nwOsoBQMc7Ldpq2zUBDoR1wKpBW1L5UZ/E6sbaIX3E1qh5KpQAsAPuC2AbjWRDCGddZcTso/Q\nOkI/cPUPUjoAJvFR1gjU4bbWuMnSnnU4VVgbSrQvWtCjR02kHqS/El9Gi6zrsnjwI7sot7YR\n/EiiEwRtSROruyQenG1rHNjUOhbhANALorbeA+Cp1ulAQD6V8mwS3CrootlYKXjHZLQHE1td\n7gCDTTGnvQVAAIGVSCn0oHJplwSAnEDl1kiGEI+uKEUS5Iuc9sW+EACi0APugiQP6pi4P6SA\n87z5Z8tTAB6t8f6+zgPgj63TF0Zz+wQbtSWUee72I6wOgG3b9r2X9Hx1xde96gHcus/3UsIk\nwBsdk+e0Z6+u3PxaaDJiQG01vnwdp16G1h3QqVshO/nqfs/CmL4lxyQwKiBm9bUADFgZPuhS\nD7B+UKyM46cbAu/HdBx3ITllvvr0xeJf1T382j/dNKLb6obkKZtDEhjhFZ8MsKoy7NhlZQLo\nRuXyUYmX95u37vApDbDhCoz8uhh6bKfL9aMTG5K87ddRF+hhukuPq//koD67SgfQJyjynO5W\ndFueAUAeVh79PwvXOJQArwxNntja7jY70uASD1Hrjo8vTehTvgooE4RBubjtGxMwAQwOiNeG\nJscsKGsYew3Z9IV6ZBIay0z79+//T2F1JZRQwj+EUsSuhKOJ//+I3WJok91gN+IupfUvw5zB\njG2Epih1m0lmMIkyIfvCvUTlO8I9zQgRYI1T37x99V0YP3P9FNjBYs27f69x/O9wg1EEbJkk\n9FtxKS7Vqcq5nmcLfQnLJT9NhQB8Saz+jZ0KXq/3mMOeHQJ9qLvIXw8gBzwpvNNc43ChN7aR\n0hEJn1KFKNrtKnMDb7Klr2wIx0GPhfgo2GSANrw2vFvRzlQ+Upb8Y977jcuSpFHRX4EoeJXq\nSdxLjPyjjucAaA+4S4PFiKMAuhyK5hQmms5bZcVaveV5fno8pDQEiMww6pJmHQ8KQ7PiRn/m\nFL9jA90ORnKEjOXO+62Kv3tf3PtEvYcQLOxg9dHFTsHvtDyf5vRiFT8DACpBJQSHKVHVvmh9\n8aTluTfmJcB77ayxHgHgqzQ/+1BIAVf6cgcl+yrLLEWbqyuXE3mKz341YwrglADeapuQUu4R\nfMSWkKswIeBM79IAYHmKn14VUgwGU3bLuGlrW97TKnNeq/yFu4Jz0hoF5ne3+nmFAPqsjCRc\ngiu6o+Zv0oh/rUabTlRCUjBgXZ94OVffOP7xqw0JYNkHuOdsALhvLgafTHKZC9vTOfX6YZcW\nmi0AeJU6xuOuzHJB0EN3lw6uBzBoSXhfnhoUa4+LtdZxwrS1G7dsgmHyYRNF24ojf7yNcF/s\nndqS5rfs8IFgSnnu0T7pN/caN6zzAzi/Y/7R/qkzVwRXp7SCyh0IjnxyuLZD9p7KzBWrAh8c\n1AE82i89pWtuzBdlWzKMAWPC9gpLyzT2GXGFjrq7x2EKGB4Ss8dalywOzj6gAXhoSPanAz2d\nX0cSIAyKFe+LAvf3T1dsm/XrX/+6trZW1/WJEyc+/fTT/6z4TSli9z2jFLH7t0aJ2JVwNPH/\nSex2STpahYNQ61i8eQZ2D/gwEVLASdzeQnkdo05LjmJkVFclJ8C+nmXKKJaDn+aGCLCcWV3R\n1NZ6j+N9inp0iX1a7IjB2RLJz80HnYIYB28ak0m4FCC43c3coDdxsrGZ8GZBu3Es9zYZys7M\n6VfaAQIs81vtqXgy7/1Q6VWUFU0CsoAEUfBD9WLuZsHSlBxLxEeBJlY3rC5cJWlXKle0bgrL\njagJ7wKNUFWhu9sUy9BmbMZB0FYDuHuNLzNGd3oejjoEPzTyz5UVq/0W5Pm58RAIXipLnW0W\nz8Kxh6KbFQgHHKhmCwiCcld+2rahI3cBTK31T08ZDFjfJd6GKgDVgg7bE5YEV/hzD7ZJP2t5\n/pw2tkgGVuyxBWAqmETVg1CCFZ2sCi4AvGaZN8V8AF5olZoczAP4wuLn7wkpglF+p1qyGkXF\nkZ7fHMqAMV57QsC5/oBPEVzXKndXeRrA6zHjlwf8AB4tT09pnQPwk63+WTkDGqhA815pSNwS\nytzcJXtAsCGry4TCyIBYfoL+t++6oc9/sbrbiWr5R/jiL2ioR89h2lnXO/4wAPrc9fLDp+Av\nw6v74fGSQ3sXVVb37t37R6uDX1gaAU6O2isz3EIjQ80joNSIgFiY1ByJrqZccVxCAAMWhesE\n9RL1zZh4h5DvuLnm2hSIDqIgj0xHYYjuvD4s+cv1gc8PaQR4bVjytHL77K9CixOcAG8ObWjr\nUacuDTqcAIBdzG4rBY1izclxATpibpkNtNHkN5MS71cZ1y73K6BvQGQp3Z2nhfQu8ghTmZE0\nL2EyrPlBbN5+z9QVXgUc38Z9b1z9r5f6pm0zzYB65/iGY6P/QuLDJWL3PaNE7P6tUSJ2JRxN\n/P8Qu7TEMYjkFJaz+g5o8qXIARUi6gLP0NSPaNM7vVainxNVGgxX2c38tYqmScBIad9JsiMa\nC8imCfNm4mMSO7VY867gMVbZFsJ6KHdpqB7ANskft82F0A5RWtDFLcyFKvihXCBNSAeOfZ2K\nOW4As23tklyQAIv8Vu/GwF5KoEcsKoCfe7Nejg9tfY+iOUqK/28OiI0AVC/NneLJPZLxVkla\nQeSqNs1K6A6FqxTtROSatk0Xe+wJ1zNqMgVC8i0LgjWlJnJxYyAzyBQzc8aV9X4A74StE43i\nlE7fG1rmcD9Bbb9sJpOpF7ijPjA9pYO38LaiCpKAEuyqiPkpACzN8B8cDCmCO0KZ66NFjttz\nUyThku66O61r6sGYd0mWJRQtFqVRUIUIZISqbZIRgjnl1iCvAPD8Ic9ttV4ovNQ5eXaZDeC1\nQ+ZNVT5wVPhkraBZ1fyOMEATU9tm56W0Ny2TKMzuZg3zCwAnfxNal+UasHFwLKKj3kavVVFX\nb/IlO4J+pvtZv/pj+lbG4y2tZQll07PujPsx456mi20q8ORqBCNQQC4H0wAhbXYsnT8+2LZt\n274Lw7Uu9VG1cXTcz3H1av+MAwYBhrR2tuV4shm7DEOOKhOf1usu0NfrLhxZXy9wzNxoRqCN\nqb4ZHxcCfedEGighFMhDqaYPKpd1yN01MD3o80i9IH6mNkyI2wIDP45mXYR1tfHM+G1rfdOq\nTbCmrV7A2eX5l4anfvRl8ItajQB/HJI6u0u+/zvh+jw1dZzQwZl/SDvSiKQpGESlQAgw7QSM\na506aaZnVwOb1Ml54+SGf8DX+XtBidh9zygRu39rlIhdCUcT35nYCaCLHckx0kbISbCv0/Ld\nGxlSRyeaI7hBZW/XWgzYoSGaB242s7foxesfSv0l4fkKvHjaNZ5OVMKUKsMJUdhIiyGoAs5I\nhpYqXq7khlATeYoL9D4clcBjwfQZeu5R2zdX6PsVzTV3UFDwSlUBOYg7bykTCl/6isIcAHJA\nl0NRoXCtN3tPsGnavWrCMdAOXAZctUexnELzfGLQVb2YO8WXuyCQH3wovFfRglvokR/oWhVJ\nSjLCEJ90KIb6tuXp6ENhRcEI3CO18I3n/XiZf6I8XU4VgLHVZZsFCxHUDys+nS05PnZ7SAG/\napO5tW12VZY/HPd+kdYkK4qZASASHqUylAB4oXUx5JYSqNwStYHRHvFB9+JMRm4u2ylYgKjr\ny7N/aTCqJbML6y+BHDwS3ZkIa2pRXiPA/O5Wf68AcMtu38u1JgE+7W+NijC/33/RakyvAWHw\n6TIN2pyvd3DkBa3yN1dk+q8MH3ZpmKrtw+MAtqX4mBUhCZwYcd4Z2ADgtDWh5RleDFMVlmXX\nOtx0LOxmZ+pPn8XgU/HzblAt3e1MP655AaPOhakfYfYGYEsoij6mu+i4egDD5oer0lSnWDc+\n1lrH1Sv9M2oMQtE7JKpsllVF0w7ioDXk8DLxSZ2ugNM7YtaJ8rMdyTO+DklgWFB8ery1vI6f\n8WVIchDWJFgIQHPVQ/0zjOD6VT6lcGo7+42xydtW+Z7faQK4sVf2qt6Z4R+HU5SCFsN4hUev\nKWw8K7Ymxi+YG1IKA1uJeWdYl8wNzt6nATiva+7ruL4vRwt9RcRG2EDSgQIeH5W6sMe/Im0q\nEbvvGf9CxO6pmTjxaBC7Y8s6R0vEroQS/nF8Z2I3MRZaY3KiQx452BSYggQURS8h5hkt2mN7\nJMP1ip7D7Bd9ySMXBdCpIeoAt+mZG83sHsmfcIyFSj9AqMOKqahCDstQKIdUSu2hrEzJHc1Y\nXUqg++GoC9weyN7ga7qFi2PBzxwtqNQNUTHT1nYJpEkzWpaD6aIdkSd57BsCmSG1EQf4iTf3\nULCpU7+g9NG8JxTAoKrwPkJ1ohgnOdKC5xEHwyCmBHMXhPIAKqoiaUlGecSsdo0+YJIO2R2W\nBDeFsr+JZgDstPklNb5tBdkRuymcU6jN8khVO5T4ObLZ7Oe19jlVIQU8XJ6+vFXxpBm8ObxX\n0NZMbu6beDlmvpE0N9vMLSxdFgC4QismD7lUUZxXln+2YzHt23NDOKFoBZOr+hZX8vh1ZZty\nzEPV6LBYkWENiqpGnseyaMXl8UFnv0uXNGgcWD841lqHYRjjVvtXpaADW4YWRUz6LA7XUUq5\nIoo0j8RRgbOC9p09M0vr+dWb/SD4dUX2110zAM5eGVqc5AxYfpxVYYqX9xq37vArHdi7D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CdmbLVZGgQUyBU1LHSKAJExSQvKIEMb5zlu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\nAABgCQQ7AAAAAJZAsAMAAABgif8HAvmiHdwtcowAAAAASUVORK5CYII=",
"text/plain": [
"Plot with title “”"
]
},
"metadata": {
"image/png": {
"height": 420,
"width": 420
},
"text/plain": {
"height": 420,
"width": 420
}
},
"output_type": "display_data"
}
],
"source": [
"with(solo, points3D(x = DS, y = US, z = RP, \n",
" phi = 0, bty = \"g\", pch = 20, ticktype = \"detailed\",\n",
" xlab=\"Densidade\", ylab=\"Umidade\", zlab=\"RP (MPa)\", col=1))\n",
"\n",
"# adicionando a superfície com as predições do modelo\n",
"with(xy, surf3D(x, y, z = -11.6 + 9.91*x - 0.21*y, add = TRUE, facets = NA))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"____\n",
"**Regressão não linear**"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Exemplo: $y = b_0 + x^{b_1} + \\epsilon$"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"x^b1 * log(x)"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"D(expression(b0 + x^b1), \"b1\") # teste de não linearidade"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Exemplo: $y = b_0 x^{-b_1} + \\epsilon$"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"\n",
"Call:\n",
"lm(formula = log(cv) ~ log(ps))\n",
"\n",
"Coefficients:\n",
"(Intercept) log(ps) \n",
" 3.5309 -0.1908 \n"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"ps <- c(1, 2, 3, 4, 6, 8, 12) # tamanho da parcela\n",
"cv <- c(35.6, 29, 27.1, 25.6, 24.4, 23.3, 21.6) # coef. de variação\n",
"lm(log(cv) ~ log(ps)) # para obtenção dos valores iniciais"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Nonlinear regression model\n",
" model: cv ~ b0 * ps^-b1\n",
" data: parent.frame()\n",
" b0 b1 \n",
"34.5394 0.1996 \n",
" residual sum-of-squares: 3.665\n",
"\n",
"Number of iterations to convergence: 3 \n",
"Achieved convergence tolerance: 3.061e-06"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# estimativas de mínimos quadrados não lineares\n",
"nls(cv ~ b0*ps^-b1, start = list(b0 = exp(3.53), b1 = 0.19))"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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AMSEhLOnj17/7vuNORu2PE2OwAA8Dw0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\n8X9dvQANg3HpWQAAAABJRU5ErkJggg==",
"text/plain": [
"plot without title"
]
},
"metadata": {
"image/png": {
"height": 420,
"width": 420
},
"text/plain": {
"height": 420,
"width": 420
}
},
"output_type": "display_data"
}
],
"source": [
"# gráfico com o ajuste do modelo\n",
"plot(ps, cv)\n",
"curve(34.54*x^-0.1996, add = TRUE, col = \"blue\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"____\n",
"**Linear Response Plateau**\n",
"\n",
"$\th(x) = \n",
"\t\\begin{array}{ll}\n",
"\tb_0 + b_1x, & x \\leq x_0 \\\\\n",
"\tb_0 + b_1x_0, & x > x_0 \n",
"\t\\end{array} $"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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a9b9VepgUa0M6Tv733hTzudn1y4yDtJ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\nAOrobWI4AAAAAElFTkSuQmCC",
"text/plain": [
"plot without title"
]
},
"metadata": {
"image/png": {
"height": 420,
"width": 420
},
"text/plain": {
"height": 420,
"width": 420
}
},
"output_type": "display_data"
}
],
"source": [
"# exemplo\n",
"N <- c(0, 50, 100, 150, 200)\n",
"prod <- c(7.67, 14.46, 19.84, 20.04, 20.59)\n",
"plot(prod ~ N)"
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Nonlinear regression model\n",
" model: prod ~ lrp(N, b0, b1, x0)\n",
" data: parent.frame()\n",
" b0 b1 x0 \n",
" 7.6700 0.1358 91.9489 \n",
" residual sum-of-squares: 0.3017\n",
"\n",
"Number of iterations to convergence: 2 \n",
"Achieved convergence tolerance: 1.147e-08"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"lrp <- function (x, b0, b1, x0) ifelse(x <= x0, b0 + b1*x, b0 + b1*x0) # função que define o LRP\n",
"nls(prod ~ lrp(N, b0, b1, x0), start = list(b0 = 8, b1 = 0.1, x0 = 80)) # ajuste do modelo"
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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DfFxg6Ap4uJUc2aCgsz3QEAHo/XvwA8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"text/plain": [
"plot without title"
]
},
"metadata": {
"image/png": {
"height": 420,
"width": 420
},
"text/plain": {
"height": 420,
"width": 420
}
},
"output_type": "display_data"
}
],
"source": [
"# gráfico com o ajuste\n",
"plot(prod ~ N)\n",
"curve(lrp(x, b0 = 7.67, b1 = 0.1358, x0 = 91.95), col = \"blue\", add = TRUE)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"____\n",
"**Bootstrap na regressão**"
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<style>\n",
".list-inline {list-style: none; margin:0; padding: 0}\n",
".list-inline>li {display: inline-block}\n",
".list-inline>li:not(:last-child)::after {content: \"\\00b7\"; padding: 0 .5ex}\n",
"</style>\n",
"<ol class=list-inline><li>1.06063539566211</li><li>-1.0772961286723</li><li>-0.639386164230601</li><li>-0.591672972994669</li><li>0.244207279239475</li><li>0.49197463131199</li><li>0.564843759925662</li></ol>\n"
],
"text/latex": [
"\\begin{enumerate*}\n",
"\\item 1.06063539566211\n",
"\\item -1.0772961286723\n",
"\\item -0.639386164230601\n",
"\\item -0.591672972994669\n",
"\\item 0.244207279239475\n",
"\\item 0.49197463131199\n",
"\\item 0.564843759925662\n",
"\\end{enumerate*}\n"
],
"text/markdown": [
"1. 1.06063539566211\n",
"2. -1.0772961286723\n",
"3. -0.639386164230601\n",
"4. -0.591672972994669\n",
"5. 0.244207279239475\n",
"6. 0.49197463131199\n",
"7. 0.564843759925662\n",
"\n",
"\n"
],
"text/plain": [
"[1] 1.0606354 -1.0772961 -0.6393862 -0.5916730 0.2442073 0.4919746 0.5648438\n",
"attr(,\"label\")\n",
"[1] \"Residuals\""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"mod <- nls(cv ~ b0*ps^-b1, start = list(b0 = exp(3.53), b1 = 0.19))\n",
"yhat <- fitted(mod) # valores preditos\n",
"res <- residuals(mod) # residuos\n",
"res"
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {},
"outputs": [],
"source": [
"nboot <- 1000 # número de reamostragens\n",
"b <- matrix(nrow = nboot, ncol = 2) # matriz receptora das estimativas bootstrap de b0 e b1\n",
"colnames(b) <- c(\"b0\", \"b1\")\n",
"# loop\n",
"for(i in 1:nboot) {\n",
" res.boot <- sample(res, replace = TRUE)\n",
" yboot <- yhat + res.boot\n",
" b[i, ] <- coef(nls(yboot ~ b0*ps^-b1, \n",
" start = c(b0 = exp(3.53), b1 = 0.19)))\n",
"}"
]
},
{
"cell_type": "code",
"execution_count": 36,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<table>\n",
"<caption>A matrix: 2 × 2 of type dbl</caption>\n",
"<thead>\n",
"\t<tr><th></th><th scope=col>b0</th><th scope=col>b1</th></tr>\n",
"</thead>\n",
"<tbody>\n",
"\t<tr><th scope=row>2.5%</th><td>33.40736</td><td>0.1744707</td></tr>\n",
"\t<tr><th scope=row>97.5%</th><td>35.57824</td><td>0.2234244</td></tr>\n",
"</tbody>\n",
"</table>\n"
],
"text/latex": [
"A matrix: 2 × 2 of type dbl\n",
"\\begin{tabular}{r|ll}\n",
" & b0 & b1\\\\\n",
"\\hline\n",
"\t2.5\\% & 33.40736 & 0.1744707\\\\\n",
"\t97.5\\% & 35.57824 & 0.2234244\\\\\n",
"\\end{tabular}\n"
],
"text/markdown": [
"\n",
"A matrix: 2 × 2 of type dbl\n",
"\n",
"| <!--/--> | b0 | b1 |\n",
"|---|---|---|\n",
"| 2.5% | 33.40736 | 0.1744707 |\n",
"| 97.5% | 35.57824 | 0.2234244 |\n",
"\n"
],
"text/plain": [
" b0 b1 \n",
"2.5% 33.40736 0.1744707\n",
"97.5% 35.57824 0.2234244"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# percentis bootstrap 2.5% e 97.5%\n",
"apply(b, 2, quantile, p = c(0.025, 0.975))"
]
},
{
"cell_type": "code",
"execution_count": 37,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Waiting for profiling to be done...\n",
"\n"
]
},
{
"data": {
"text/html": [
"<table>\n",
"<caption>A matrix: 2 × 2 of type dbl</caption>\n",
"<thead>\n",
"\t<tr><th></th><th scope=col>2.5%</th><th scope=col>97.5%</th></tr>\n",
"</thead>\n",
"<tbody>\n",
"\t<tr><th scope=row>b0</th><td>32.7203485</td><td>36.3799185</td></tr>\n",
"\t<tr><th scope=row>b1</th><td> 0.1606861</td><td> 0.2385172</td></tr>\n",
"</tbody>\n",
"</table>\n"
],
"text/latex": [
"A matrix: 2 × 2 of type dbl\n",
"\\begin{tabular}{r|ll}\n",
" & 2.5\\% & 97.5\\%\\\\\n",
"\\hline\n",
"\tb0 & 32.7203485 & 36.3799185\\\\\n",
"\tb1 & 0.1606861 & 0.2385172\\\\\n",
"\\end{tabular}\n"
],
"text/markdown": [
"\n",
"A matrix: 2 × 2 of type dbl\n",
"\n",
"| <!--/--> | 2.5% | 97.5% |\n",
"|---|---|---|\n",
"| b0 | 32.7203485 | 36.3799185 |\n",
"| b1 | 0.1606861 | 0.2385172 |\n",
"\n"
],
"text/plain": [
" 2.5% 97.5% \n",
"b0 32.7203485 36.3799185\n",
"b1 0.1606861 0.2385172"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# intervalos paramétricos de 95% confianca\n",
"confint(mod)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"# Intervalos de confiança bootstrap para os valores esperados\n",
"\n",
"# sequencia de 100 valores x (tam. parcela)\n",
"ps. <- seq(1, 12, length.out = 100)\n",
"\n",
"# matriz nula para receber predicoes bootstrap\n",
"yhat.boot <- matrix(nrow = nboot, ncol = length(ps.))\n",
"\n",
"# loop das predicoes\n",
"for(i in 1:nboot) yhat.boot[i, ] <- b[i,1] * ps.^-b[i,2]\n",
"\n",
"# percentis em cada valor de ps.\n",
"IC.boot <- apply(yhat.boot, 2, quantile, p = c(0.025, 0.5, 0.975))\n",
"\n",
"# grafico\n",
"matplot(x = ps., y = t(IC.boot), type = \"l\")\n",
"points(cv ~ ps)\n",
"legend(\"topright\", c(\"2.5\", \"50\", \"97.5\"), title = \"Percentil\", lty = 1:3, col = 1:3, cex = 0.9)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "R",
"language": "R",
"name": "ir"
},
"language_info": {
"codemirror_mode": "r",
"file_extension": ".r",
"mimetype": "text/x-r-source",
"name": "R",
"pygments_lexer": "r",
"version": "3.6.3"
}
},
"nbformat": 4,
"nbformat_minor": 4
}
install.packages('soilphysics')
install.packages('car')
install.packages('plot3D')
r-2021-03-03
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