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ch6.html
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<body>
<h1>Model Selection</h1>
<p>This is an R Markdown document. Markdown is a simple formatting syntax for authoring web pages,
and a very nice way of distributing an analysis. It has some very simple syntax rules.</p>
<pre><code class="r">library(ISLR)
summary(Hitters)
</code></pre>
<pre><code>## AtBat Hits HmRun Runs
## Min. : 16 Min. : 1 Min. : 0.0 Min. : 0.0
## 1st Qu.:255 1st Qu.: 64 1st Qu.: 4.0 1st Qu.: 30.2
## Median :380 Median : 96 Median : 8.0 Median : 48.0
## Mean :381 Mean :101 Mean :10.8 Mean : 50.9
## 3rd Qu.:512 3rd Qu.:137 3rd Qu.:16.0 3rd Qu.: 69.0
## Max. :687 Max. :238 Max. :40.0 Max. :130.0
##
## RBI Walks Years CAtBat
## Min. : 0.0 Min. : 0.0 Min. : 1.00 Min. : 19
## 1st Qu.: 28.0 1st Qu.: 22.0 1st Qu.: 4.00 1st Qu.: 817
## Median : 44.0 Median : 35.0 Median : 6.00 Median : 1928
## Mean : 48.0 Mean : 38.7 Mean : 7.44 Mean : 2649
## 3rd Qu.: 64.8 3rd Qu.: 53.0 3rd Qu.:11.00 3rd Qu.: 3924
## Max. :121.0 Max. :105.0 Max. :24.00 Max. :14053
##
## CHits CHmRun CRuns CRBI
## Min. : 4 Min. : 0.0 Min. : 1 Min. : 0.0
## 1st Qu.: 209 1st Qu.: 14.0 1st Qu.: 100 1st Qu.: 88.8
## Median : 508 Median : 37.5 Median : 247 Median : 220.5
## Mean : 718 Mean : 69.5 Mean : 359 Mean : 330.1
## 3rd Qu.:1059 3rd Qu.: 90.0 3rd Qu.: 526 3rd Qu.: 426.2
## Max. :4256 Max. :548.0 Max. :2165 Max. :1659.0
##
## CWalks League Division PutOuts Assists
## Min. : 0.0 A:175 E:157 Min. : 0 Min. : 0.0
## 1st Qu.: 67.2 N:147 W:165 1st Qu.: 109 1st Qu.: 7.0
## Median : 170.5 Median : 212 Median : 39.5
## Mean : 260.2 Mean : 289 Mean :106.9
## 3rd Qu.: 339.2 3rd Qu.: 325 3rd Qu.:166.0
## Max. :1566.0 Max. :1378 Max. :492.0
##
## Errors Salary NewLeague
## Min. : 0.00 Min. : 67.5 A:176
## 1st Qu.: 3.00 1st Qu.: 190.0 N:146
## Median : 6.00 Median : 425.0
## Mean : 8.04 Mean : 535.9
## 3rd Qu.:11.00 3rd Qu.: 750.0
## Max. :32.00 Max. :2460.0
## NA's :59
</code></pre>
<p>There are some missing values here, so before we proceed we will remove them:</p>
<pre><code class="r">Hitters = na.omit(Hitters)
with(Hitters, sum(is.na(Salary)))
</code></pre>
<pre><code>## [1] 0
</code></pre>
<h2>Best Subset regression</h2>
<p>We will now use the package <code>leaps</code> to evaluate all the best-subset models.</p>
<pre><code class="r">library(leaps)
regfit.full = regsubsets(Salary ~ ., data = Hitters)
summary(regfit.full)
</code></pre>
<pre><code>## Subset selection object
## Call: regsubsets.formula(Salary ~ ., data = Hitters)
## 19 Variables (and intercept)
## Forced in Forced out
## AtBat FALSE FALSE
## Hits FALSE FALSE
## HmRun FALSE FALSE
## Runs FALSE FALSE
## RBI FALSE FALSE
## Walks FALSE FALSE
## Years FALSE FALSE
## CAtBat FALSE FALSE
## CHits FALSE FALSE
## CHmRun FALSE FALSE
## CRuns FALSE FALSE
## CRBI FALSE FALSE
## CWalks FALSE FALSE
## LeagueN FALSE FALSE
## DivisionW FALSE FALSE
## PutOuts FALSE FALSE
## Assists FALSE FALSE
## Errors FALSE FALSE
## NewLeagueN FALSE FALSE
## 1 subsets of each size up to 8
## Selection Algorithm: exhaustive
## AtBat Hits HmRun Runs RBI Walks Years CAtBat CHits CHmRun CRuns
## 1 ( 1 ) " " " " " " " " " " " " " " " " " " " " " "
## 2 ( 1 ) " " "*" " " " " " " " " " " " " " " " " " "
## 3 ( 1 ) " " "*" " " " " " " " " " " " " " " " " " "
## 4 ( 1 ) " " "*" " " " " " " " " " " " " " " " " " "
## 5 ( 1 ) "*" "*" " " " " " " " " " " " " " " " " " "
## 6 ( 1 ) "*" "*" " " " " " " "*" " " " " " " " " " "
## 7 ( 1 ) " " "*" " " " " " " "*" " " "*" "*" "*" " "
## 8 ( 1 ) "*" "*" " " " " " " "*" " " " " " " "*" "*"
## CRBI CWalks LeagueN DivisionW PutOuts Assists Errors NewLeagueN
## 1 ( 1 ) "*" " " " " " " " " " " " " " "
## 2 ( 1 ) "*" " " " " " " " " " " " " " "
## 3 ( 1 ) "*" " " " " " " "*" " " " " " "
## 4 ( 1 ) "*" " " " " "*" "*" " " " " " "
## 5 ( 1 ) "*" " " " " "*" "*" " " " " " "
## 6 ( 1 ) "*" " " " " "*" "*" " " " " " "
## 7 ( 1 ) " " " " " " "*" "*" " " " " " "
## 8 ( 1 ) " " "*" " " "*" "*" " " " " " "
</code></pre>
<p>It gives by default best-subsets up to size 8; lets increase that to 19, i.e. all the variables</p>
<pre><code class="r">regfit.full = regsubsets(Salary ~ ., data = Hitters, nvmax = 19)
reg.summary = summary(regfit.full)
names(reg.summary)
</code></pre>
<pre><code>## [1] "which" "rsq" "rss" "adjr2" "cp" "bic" "outmat" "obj"
</code></pre>
<pre><code class="r">plot(reg.summary$cp, xlab = "Number of Variables", ylab = "Cp")
which.min(reg.summary$cp)
</code></pre>
<pre><code>## [1] 10
</code></pre>
<pre><code class="r">points(10, reg.summary$cp[10], pch = 20, col = "red")
</code></pre>
<p><img 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" alt="plot of chunk unnamed-chunk-4"/> </p>
<p>There is a plot method for the <code>regsubsets</code> object</p>
<pre><code class="r">plot(regfit.full, scale = "Cp")
</code></pre>
<p><img 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" alt="plot of chunk unnamed-chunk-5"/> </p>
<pre><code class="r">coef(regfit.full, 10)
</code></pre>
<pre><code>## (Intercept) AtBat Hits Walks CAtBat CRuns
## 162.5354 -2.1687 6.9180 5.7732 -0.1301 1.4082
## CRBI CWalks DivisionW PutOuts Assists
## 0.7743 -0.8308 -112.3801 0.2974 0.2832
</code></pre>
<h2>Forward Stepwise Selection</h2>
<p>Here we use the <code>regsubsets</code> function but specify the method=“forward” option:</p>
<pre><code class="r">regfit.fwd = regsubsets(Salary ~ ., data = Hitters, nvmax = 19, method = "forward")
summary(regfit.fwd)
</code></pre>
<pre><code>## Subset selection object
## Call: regsubsets.formula(Salary ~ ., data = Hitters, nvmax = 19, method = "forward")
## 19 Variables (and intercept)
## Forced in Forced out
## AtBat FALSE FALSE
## Hits FALSE FALSE
## HmRun FALSE FALSE
## Runs FALSE FALSE
## RBI FALSE FALSE
## Walks FALSE FALSE
## Years FALSE FALSE
## CAtBat FALSE FALSE
## CHits FALSE FALSE
## CHmRun FALSE FALSE
## CRuns FALSE FALSE
## CRBI FALSE FALSE
## CWalks FALSE FALSE
## LeagueN FALSE FALSE
## DivisionW FALSE FALSE
## PutOuts FALSE FALSE
## Assists FALSE FALSE
## Errors FALSE FALSE
## NewLeagueN FALSE FALSE
## 1 subsets of each size up to 19
## Selection Algorithm: forward
## AtBat Hits HmRun Runs RBI Walks Years CAtBat CHits CHmRun CRuns
## 1 ( 1 ) " " " " " " " " " " " " " " " " " " " " " "
## 2 ( 1 ) " " "*" " " " " " " " " " " " " " " " " " "
## 3 ( 1 ) " " "*" " " " " " " " " " " " " " " " " " "
## 4 ( 1 ) " " "*" " " " " " " " " " " " " " " " " " "
## 5 ( 1 ) "*" "*" " " " " " " " " " " " " " " " " " "
## 6 ( 1 ) "*" "*" " " " " " " "*" " " " " " " " " " "
## 7 ( 1 ) "*" "*" " " " " " " "*" " " " " " " " " " "
## 8 ( 1 ) "*" "*" " " " " " " "*" " " " " " " " " "*"
## 9 ( 1 ) "*" "*" " " " " " " "*" " " "*" " " " " "*"
## 10 ( 1 ) "*" "*" " " " " " " "*" " " "*" " " " " "*"
## 11 ( 1 ) "*" "*" " " " " " " "*" " " "*" " " " " "*"
## 12 ( 1 ) "*" "*" " " "*" " " "*" " " "*" " " " " "*"
## 13 ( 1 ) "*" "*" " " "*" " " "*" " " "*" " " " " "*"
## 14 ( 1 ) "*" "*" "*" "*" " " "*" " " "*" " " " " "*"
## 15 ( 1 ) "*" "*" "*" "*" " " "*" " " "*" "*" " " "*"
## 16 ( 1 ) "*" "*" "*" "*" "*" "*" " " "*" "*" " " "*"
## 17 ( 1 ) "*" "*" "*" "*" "*" "*" " " "*" "*" " " "*"
## 18 ( 1 ) "*" "*" "*" "*" "*" "*" "*" "*" "*" " " "*"
## 19 ( 1 ) "*" "*" "*" "*" "*" "*" "*" "*" "*" "*" "*"
## CRBI CWalks LeagueN DivisionW PutOuts Assists Errors NewLeagueN
## 1 ( 1 ) "*" " " " " " " " " " " " " " "
## 2 ( 1 ) "*" " " " " " " " " " " " " " "
## 3 ( 1 ) "*" " " " " " " "*" " " " " " "
## 4 ( 1 ) "*" " " " " "*" "*" " " " " " "
## 5 ( 1 ) "*" " " " " "*" "*" " " " " " "
## 6 ( 1 ) "*" " " " " "*" "*" " " " " " "
## 7 ( 1 ) "*" "*" " " "*" "*" " " " " " "
## 8 ( 1 ) "*" "*" " " "*" "*" " " " " " "
## 9 ( 1 ) "*" "*" " " "*" "*" " " " " " "
## 10 ( 1 ) "*" "*" " " "*" "*" "*" " " " "
## 11 ( 1 ) "*" "*" "*" "*" "*" "*" " " " "
## 12 ( 1 ) "*" "*" "*" "*" "*" "*" " " " "
## 13 ( 1 ) "*" "*" "*" "*" "*" "*" "*" " "
## 14 ( 1 ) "*" "*" "*" "*" "*" "*" "*" " "
## 15 ( 1 ) "*" "*" "*" "*" "*" "*" "*" " "
## 16 ( 1 ) "*" "*" "*" "*" "*" "*" "*" " "
## 17 ( 1 ) "*" "*" "*" "*" "*" "*" "*" "*"
## 18 ( 1 ) "*" "*" "*" "*" "*" "*" "*" "*"
## 19 ( 1 ) "*" "*" "*" "*" "*" "*" "*" "*"
</code></pre>
<pre><code class="r">plot(regfit.fwd, scale = "Cp")
</code></pre>
<p><img src="data:image/png;base64,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" alt="plot of chunk unnamed-chunk-6"/> </p>
<h2>Model Selection Using a Validation Set</h2>
<p>Lets make a training and validation set, so that we can choose a good subset model.
We will do it using a slightly different approach from what was done in the the book.</p>
<pre><code class="r">dim(Hitters)
</code></pre>
<pre><code>## [1] 263 20
</code></pre>
<pre><code class="r">set.seed(1)
train = sample(seq(263), 180, replace = FALSE)
train
</code></pre>
<pre><code>## [1] 70 98 150 237 53 232 243 170 161 16 259 45 173 97 192 124 178
## [18] 245 94 190 228 52 158 31 64 92 4 91 205 80 113 140 115 43
## [35] 244 153 181 25 163 93 184 144 174 122 117 251 6 104 241 149 102
## [52] 183 224 242 15 21 66 107 136 83 186 60 211 67 130 210 95 151
## [69] 17 256 207 162 200 239 236 168 249 73 222 177 234 199 203 59 235
## [86] 37 126 22 230 226 42 11 110 214 132 134 77 69 188 100 206 58
## [103] 44 159 101 34 208 75 185 201 261 112 54 65 23 2 106 254 257
## [120] 154 142 71 166 221 105 63 143 29 240 212 167 172 5 84 120 133
## [137] 72 191 248 138 182 74 179 135 87 196 157 119 13 99 263 125 247
## [154] 50 55 20 57 8 30 194 139 238 46 78 88 41 7 33 141 32
## [171] 180 164 213 36 215 79 225 229 198 76
</code></pre>
<pre><code class="r">regfit.fwd = regsubsets(Salary ~ ., data = Hitters[train, ], nvmax = 19, method = "forward")
</code></pre>
<p>Now we will make predictions on the observations not used for training. We know there are 19 models, so we set up some vectors to record the errors. We have to do a bit of work here, because there is no predict method for <code>regsubsets</code>.</p>
<pre><code class="r">val.errors = rep(NA, 19)
x.test = model.matrix(Salary ~ ., data = Hitters[-train, ]) # notice the -index!
for (i in 1:19) {
coefi = coef(regfit.fwd, id = i)
pred = x.test[, names(coefi)] %*% coefi
val.errors[i] = mean((Hitters$Salary[-train] - pred)^2)
}
plot(sqrt(val.errors), ylab = "Root MSE", ylim = c(300, 400), pch = 19, type = "b")
points(sqrt(regfit.fwd$rss[-1]/180), col = "blue", pch = 19, type = "b")
legend("topright", legend = c("Training", "Validation"), col = c("blue", "black"),
pch = 19)
</code></pre>
<p><img src="data:image/png;base64,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" alt="plot of chunk unnamed-chunk-8"/> </p>
<p>As we expect, the training error goes down monotonically as the model gets bigger, but not so
for the validation error.</p>
<p>This was a little tedious - not having a predict method for <code>regsubsets</code>. So we will write one!</p>
<pre><code class="r">predict.regsubsets = function(object, newdata, id, ...) {
form = as.formula(object$call[[2]])
mat = model.matrix(form, newdata)
coefi = coef(object, id = id)
mat[, names(coefi)] %*% coefi
}
</code></pre>
<h2>Model Selection by Cross-Validation</h2>
<p>We will do 10-fold cross-validation. Its really easy!</p>
<pre><code class="r">set.seed(11)
folds = sample(rep(1:10, length = nrow(Hitters)))
folds
</code></pre>
<pre><code>## [1] 3 1 4 4 7 7 3 5 5 2 5 2 8 3 3 3 9 2 9 8 10 5 8
## [24] 5 5 5 5 10 10 4 4 7 6 7 7 7 3 4 8 3 6 8 10 4 3 9
## [47] 9 3 4 9 8 7 10 6 10 3 6 9 4 2 8 2 5 6 10 7 2 8 8
## [70] 1 3 6 2 5 8 1 1 2 8 1 10 1 2 3 6 6 5 8 8 10 4 2
## [93] 6 1 7 4 8 3 7 8 7 1 10 1 6 2 9 10 1 7 7 4 7 4 10
## [116] 3 6 10 6 6 9 8 10 6 7 9 6 7 1 10 2 2 5 9 9 6 1 1
## [139] 2 9 4 10 5 3 7 7 10 10 9 3 3 7 3 1 4 6 6 10 4 9 9
## [162] 1 3 6 8 10 8 5 4 5 6 2 9 10 3 7 7 6 6 2 3 2 4 4
## [185] 4 4 8 2 3 5 9 9 10 2 1 3 9 6 7 3 1 9 4 10 10 8 8
## [208] 8 2 5 9 8 10 5 8 2 4 1 4 4 5 5 2 1 9 5 2 9 9 5
## [231] 3 2 1 9 1 7 2 5 8 1 1 7 6 6 4 5 10 5 7 4 8 6 9
## [254] 1 2 5 7 1 3 1 3 1 2
</code></pre>
<pre><code class="r">table(folds)
</code></pre>
<pre><code>## folds
## 1 2 3 4 5 6 7 8 9 10
## 27 27 27 26 26 26 26 26 26 26
</code></pre>
<pre><code class="r">cv.errors = matrix(NA, 10, 19)
for (k in 1:10) {
best.fit = regsubsets(Salary ~ ., data = Hitters[folds != k, ], nvmax = 19,
method = "forward")
for (i in 1:19) {
pred = predict(best.fit, Hitters[folds == k, ], id = i)
cv.errors[k, i] = mean((Hitters$Salary[folds == k] - pred)^2)
}
}
rmse.cv = sqrt(apply(cv.errors, 2, mean))
plot(rmse.cv, pch = 19, type = "b")
</code></pre>
<p><img 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" alt="plot of chunk unnamed-chunk-10"/> </p>
<h2>Ridge Regression and the Lasso</h2>
<p>We will use the package <code>glmnet</code>, which does not use the model formula language, so we will set up an <code>x</code> and <code>y</code>.</p>
<pre><code class="r">library(glmnet)
</code></pre>
<pre><code>## Loading required package: Matrix Loading required package: lattice Loaded
## glmnet 1.9-5
</code></pre>
<pre><code class="r">x = model.matrix(Salary ~ . - 1, data = Hitters)
y = Hitters$Salary
</code></pre>
<p>First we will fit a ridge-regression model. This is achieved by calling <code>glmnet</code> with <code>alpha=0</code> (see the helpfile). There is also a <code>cv.glmnet</code> function which will do the cross-validation for us. </p>
<pre><code class="r">fit.ridge = glmnet(x, y, alpha = 0)
plot(fit.ridge, xvar = "lambda", label = TRUE)
</code></pre>
<p><img 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SIgga8UyX7CKT2Tt4F8ZoGbeYu3YyGR3DfheQe0JNInz7g9zaN8d79f9O/N+4V7Vx/hLwuP1VIEREAEREAEhkNAAj8caiM8Z+kR/vMEYfY3C2rard4UL5E80Et4B6S91Mk8x+eZvX9PwXd3dxXy96hL3yjJiYAIiIAIDIWABH4otKp07IrD/VUEfXXJ3PaLvJktfvKgpOfNG5NKfZou/RXsu9t57s7l9+ce8E/xw1f8qpQiBSsCIiACIhB3AhL4CJZg6Zm8PZf/MwM0vBm3uj2LLnkI2ydP3ze124xF6fuc59/JKP3b9fw+ggWoJImACIhABAhI4CNQCAMlgZGX9prDYyX775l/80a7yanXFIvenIyXei+t+y6OWOQV3e3Lc7n7eOafHyg87RMBERABEWgOAnpNLublPPVWb1cvmTzY890RnvN2ITv38FrerZ207tfP8dfGPHtKvgiIgAjEmoBek4t18dU38SsP98PX8i6bfIs3NplMHcoFNafNpT4x87bUCzT/bylmC7euOMpfXN+UKnYREAEREIFaElAXfS1pVzkuXq+zOfWvNbNJd2bMcvv6ifScZCbxTUbmMzDf3ZIv5G5adZ170D/XL1Y5OQpeBERABESgjgTURV9H+LWMetpCb+dEKjnXJenK973pjMi3r+fdvOz+/O0alV/LklBcIiACzUSgnl30EvhmutJKeZ1+kzfZM7H3vLl4vQq7h0F6N+Wy+VtXzfc3NSESZVkEREAEqkKgngKvLvqqFGm0A11+pL+aFP7JbNo/vTHJ8anDadEfmWpNnTHz9vQjruDfvMkr3KRBetEuR6VOBERABAYiIIEfiE4T7FvxWr+DbF5jxnP7zJRZqYOSCW9+m5f66PTbUotd0d1YTBZuWnmov7IJcCiLIiACItAwBCTwDVOUI88IH8vJEsqtZjZIb9qsNNPn+nOTLvXTGbdnVjq/uJDJdW7Q5DojZ60QREAERKDaBCTw1SYc0/BLX8a7g+Tf4Z3vXTT5eLdvOpE+qiWRuJAR+R1FV7zRzxZu1Ot3MS1gJVsERKDhCWiQXcMXceUzyCC92S6dnpdwbh7v2TMvfnFhLl+4cfVc/4nKx6YQRUAERCC+BDTILr5l15QpZ5DeI2Tc7CdTFnm7pb3k/HQq/RVa9infc9c7P3fTssP8R5sSjjItAiIgAhEhoC76iBREXJOxao7/FGk3+/m0m71deP3uqIRLf2Hm7ZnRRQbo+S63cMUc/8G45k/pFgEREIG4EpDAx7XkIpjuFXP9Z0iW2S9n3uLtyBz5R3oufcaM29ITeed+YbGYW7DycPdQ6QM6EcyBkiQCIiACjUNAz+Abpywjm5Pg+/YuOc9PuKOc701xzrvJc7kbl81x90rsI1tsSpgIiEAFCNTzGbwEvgIFqCAGT2DyTd70ZCY5L+G7ebTqpzFI72a+gnfD8uf51O0JfmHwIelIERABEYg+gXoKvLroo399NFQKVx/pLydDl5nNvMHb3m9NHuM5/8MzdkjNnL4ofROt+4UrluTultg3VLErMyIgAnUgoBZ8HaArym0JBPPjZ5JH+b6bn3DeThxxS9H3rpfYb8tKPiIgAvEhUM8WvAQ+PtdJ06S01LI/itb8PM+5ncn4LQW68Ve+kLtLLfumuQyUURFoCAIS+BoUI5BPJJqJDOq6pAbRKYoKERh3nbdd2xgG6Dk3nzLc0fPdIol9heAqGBEQgaoTkMBXHTFtQQl8DShXN4rxi7xJY5hUx8Sebvx2YlPLHghyIiAC0SUgga9B2UjgawC5hlEELfvRPLP33DGlZ/Y3+553nUbj17AQFJUIiMArEqinwGsU/SsWjw6IIoENx/ovkq7gm/b2zL6YSc53Cf9kRuPvOP329MKEn79e79lHseSUJhEQgVoR0CC7WpFWPDUhYKPx/XTymITnjg4m1fG8Gwsudz3fs3+gJglQJCIgAiJQRkAt+DIYWhWBkRDgQzirOf9/zKbc4E1LtySPSXrp05kbf5zNje95uQX6EM5ICOtcERCBuBBQF31cSkrpHDKBVfP9FZz0OzObLpev3h3nvPQX+epdi++K1xWKBebG958ecsA6QQREQARiQEACH4NCUhJHTmDNHH8pofzKzL56l0wmj04l0t+YcXum2y8Wr8sXC9euPsJfNvKYFIIIiIAIRIOABD4a5aBU1JBA2VfvLuWZ/exEKn1MOuldPOP21Bq/6K7r6CwsKA3iq2GqFJUIiIAIVJaABL6yPBVazAjwzP4Rkmz2I1rzBzrnHzN2TOqXfOL2Sb/oX1fIFm6kq39TzLKl5IqACIiAk8DrIhCBEoFlh2bvZvVu7wbvwiktqUMSCe/49KjUxxH7+5gj/5oVS/KLmCo3K2AiIAIiEAcCEvg4lJLSWFMC/nw/T4S3mnmLvFEz/NSRznOvn7Fj6vMzFqVv8Z133YrDc3fqW/Y1LRZFJgIiMEQCeg9+iMB0ePMSmHStN751DJ+39dxxiPx0vmN/vfNz1yyd4z/WvFSUcxEQgYEI6D34gehonwhEhMDa4/z1JCWYPc/esU9lkse7ZPpLM27LJHnt7pqcX7imNFo/IilWMkRABJqZgLrom7n0lfdhEyi9Y/9rAvj15Ju9PVKp9LEZz/vhjNtSK/G7pmtT4bpShWDYcehEERABERgJAQn8SOjpXBGAwOq5/hMsnvDO9346/bj0a5gT//hRbakPTr8t/QhT5l67bG1+of8Gv1uwREAERKCWBCTwtaStuBqagH8ub9E7d5eZd7mXmTozNddPuuNmTEydxkj8Owq8Y79qaf4ORuIXGhqEMicCIhAJAhL4SBSDEtFoBEqv0y0gXwt4Xt+WaOUDOAn3Hr5290Xet19QLOYWrJjjP9ho+VZ+REAEokNAAh+dslBKGpRAaaKcv5C9v0y93ZuaKvIBnET608yJ38b37K8rdueuWXGUv7hBs69siYAI1ImABL5O4BVtcxLgs7U2CO/3ZtMWejsnM8ljEy3pbyD2WZsTP+sVFmgkfnNeG8q1CFSagAS+0kQVnggMkkCp1f5zDv95MCd+mpH4rmckvu/c9S5XuL70+dtBhqjDREAEROBlAhL4l1loTQTqRiCcE59JMX40+Ra3X9JLHZdIp34+/bbU8wnfXbexs3CTPoBTt+JRxCIQSwIS+FgWmxLdqARK09/eR/7uYyT+hdNmpQ90nj+fD+B8iJH4i53v39DhCjeun+OvbVQGypcIiEBlCEjgK8NRoTQwgcs9LznfuVEtzmUSziWxtMeSLBfpSg+M995yvOiefdi5rvl+MJf9iImUXqe7g4DuQOy/P3VG+uBkys1v81MnW8ve+W5hMVFYWHquP+L4FIAIiEBjEdBc9I1VnsrNEAhs8LxJrS4zreiK0xMuMY255bf3nT+R5SQ+GzseER/rnDeGIBHz4JOx9p57HlHPsTRLYxzmmM/GoftuNJvUA2zd38hxHWyz9DfgsYHlOuawx4ovJpz3YsHlVq1hnpxZvr+ZcwbtmFAnMe216YOI4ygv4ebSql/uiu5WP1G4aflh/rODDkgHioAIVJ1APeeil8BXvXgVQb0JrPa8tgkuvSfiuitC286y3XP+jqQrx/py1lcgvktZX5twxXVFl1hbcNm1KHjnEuc2zfaH9olYa/EfjdhTMxiXcC1thDmm6PxJnktQeQgqEBOIbwriP4XKxGSE2tKxCj9Ly/JSmpbmXG7Jd51bca4fTKDTJ0YT+ymvd3uniumjqGrMpVJRsJZ9IZFbtOof7qHS5Dt9nitPERCB6hOQwFefsQPyiUQzkWecl9QgOkVRRwJdnrdzwmX2R8z3QvBmW4ucVvOjJGkx4r0YEX12lcs+M9SWc7WytNLzxkxwLTOSrjCd9NlX6qYi9jvQKzCL9e1M+MnHEtL9HBWF56koPPuiyz4/3fc7e6dpyiJvt6RLHu4lEkdQe5/OebcVi1g2f0fpffzep2hbBESgigQk8FWEGwYtgQ9JNN5yk+dNTruWOUnnH0DuDkDUNiGM9xVc4UHf5R8b5dzzcf12+w2elzrUuelpl9oJ8d+JSsuOtPBN/He2xwY8M7AKyzPse47l4mUu+2y773dZKY+7zttuzKjkYV7CO7yHi/80I/IXZQuFu0rz59thciIgAlUkIIGvItww6P4EHv8jOMaE4RlE4O/h8VpGm0DWa6Fl7lN23uGIHc/M3W15V7wj5/L3j/V9Hm03vuvwvKkZl7ZHDjsi/Luy3BkWO9HiX00lxwT/GezpvMs/O/cUt2zZh9L7+r47hGOpM/gTix5z5hfdnX4+f7fet2/860U5rA8BCXwNuA8g8GcSvX3n+y4E/oEaJEVRDJMAov5qBGs+rfP51kpHpG5A1G7P+N2PDTPIhjuN69yj334GLX4T/F0wxhu4XXu6/QPRf9pa/XfuXVz7zdP9iffu4+3Bs/uDnO8xINC/mwrA3Z0u/6Bew2u4S0MZqhMBCXwNwA8g8M8S/UXYuxB468rs0+U9Nw9RobXkOkxcGFZto6Q3c7PsMOMVqU3LGJQ123fZPgOQ57AI0EqdRiv19bTUX4uhXcWFjD6/odX3nx9WgE160iOel9nVtdCtX2B8grcrGHZB9Nl2SVr8ixfP8tYvnFPM3HCoP+Gufb0dN4z11lqFl7ny7837+Uc1fW6TXjjK9ogJSOBHjPCVAxhA4M/m7N9iV3BDO7i/kLq8m45Nup33cm4qr0SlRyHqo2kZtXG8vUY1hnVekQq27f1oqwRsZGnPQoMKAd2im1nvxN+M1qfrsnUOtm07JtjmferNVBY6XmR7N9+x2nzOnjsf5lJHJZ33FhMhBOhanjH/X4vf9WScaXANZkh/udk8FPaqnV0z4dLWuZwCPy6bYN22zczZkssvcFw2zsw+P2tL87f1cuNlgGA7z9LWQ8tyvRfXet64sS4ddO8j/LB27fSS7LJxDCP5ZrnuB/ZyiQf39Cc+s5Ofe26Gu3vpVP+uYrHw+GrPPe7PGdrrfcQtJwJNR0ACX4MiH0Dg5xL917HTueH1+/nOnJd5P2LzVu6v4zm2gOisYx2hLm7Efz1doXTzFzf5rgW/XXNJtyvi/CqXd3sWk252vuB24mY+OcXd2SoGjPtybaXlaO7KraxbZcH8R4X+rJsYWMXAKgAm9rZuFQG6U13WKg2sWyXC/LtL67bf/LNEaOtmtq+beLq5y3cRUPcqLGq9DaXWuon6G+H7NEJz5Z9cftEJfv2+n851Y8JrZc478W5caWnrVqGzZVjJs7Izv9aS2fvw5mfbVo62bb07ZlZeJsYmtia8Vra9xZkiC/xsaceY2IfO/Gy73M8qC7ZtFQRzFqetm5+tl1cmLC3mZy5MU7i0tOV25rwDXKJ1tvNad3de2/RWb9J2rd7kbJtLL5nhu+d28pOrx3trV6X9J5e54pP3+8V71t7iHs0+6Gz8g12TnfyeLF9yItDUBCTwNSj+AQT+DqK/GVvODYnXjl/ZLfG8URO4uTNyezzvOI/jxeNxnkuORZBY+iy9cdytEXAfQfBMBGjheyYO3FR9KgH2zD/obka4vU20nJgEpWg3VlrzHvu9Dl6ZsnW6pPelMnEATwgO8rKMBUy7/ek1zbRQCRhNM80qBoGAsLSeBLtxm5/dvK2XwfbZrGsmPLbPzguOKW3bcXYzNqHJki67IZsF27aOn+3PoxLhMZZOayEGgsB+W/Ied7DfllaxCLctTBOnYNv2YQVOzmJ5TsxRU8nPcJN2o85yAnHsi7D/M+9yfxnl+0s5ryqOa8GEd3tsO8wG6JlN7GVWXuZnIkl5uZcwq1hZ78sGzHpoKJ8tfrbP2BmfQOBYGhtb7+LaMn6RcnCwvJnwB9cGS7serEITVlJs22xLxWVXKjsHucSsXZw3fepk1z6pLTFtUsLbfkLRb1s70SWXj3XZVUU/uzzndz/b4XeuWOuvfW6Fv5JZfYyhMQquc5YhO1uGZvvL1411z+9iiHMRcJ6cCESCgAS+BsVQLvCszyDK93HT/Q7rJuonYdew/b5qJsUmQDkO4eduOibpWsZSObBKwJiCS1IB8IN14mc90cr7zkErkYoBwu2bIOFvN1rPbraIhR+01FnnBmgDpIqIsbcZkcQ/2A7EpaeSYMLq4V/o4m5O696zbTsea6fywCvTvF3W7fZnGra5BeIJKgksgxu+VQoQ5OBmz7oJgAmCVRzMz0TCjjf/YJuKRbDf9tm5LG2fmR1rlQxbJyl/m+y5y3bw3QaOecdq5969nKCsQhBWCkwwCS7YNr9w2yoMVskItslzcDzbOSaHKT7kHmh9yD0y5jn3zKgX3JK2FW752Bfdi2PWu/XjNrmNbQVXROFHr21xLRtHuZaXRrkx68e4MWuxDePdhHWT3ZR1O7mdXtzX7b/+YHeoVcgKRGCVnSLLPJHmH0e8b2T7XGpmxNv0jt+RdWdNvWlOaj+69w9IeN6eqZxrb+32ZrV1+hMy3a6wIeOt3Zj0X9ro/DUvbfZeRPVXLFntNjwK1odhyUVs10/YI2LXuV334TbFHFSuwgqALcMKQFgxsO2wcmV+ZuUVClvv4Hdu146cCNSEAD+N7xPRb7nu7qlJhGWRRG4mO2BYi4I3nawLvHKOcE8ktGCiG9Z/wvqJxDGJdWuJ2c1jI9vTWPbpPM/ZvslY2Oqxc0LRMj/btmW4jo4FrSPzD9dtadvmLJ/hPtu29d7bdnzotuxLuFxirNvU2uY606Pc5kyL60q2uu6WFtedTmMtLpdKuXwm7XJs5xKst2CpZLBdSLDM8M44xxSSycDfTyWCZcHOM1FGtRI8VkjYjZDWdpK5UhIF8ys6D3FNIHi2L8G0rV4u71K239ZpnSdyRZek18HWk3Yud9Mk5wXnZKmwFI911+w4z928d96luxa4+ff92b35qYLLFJn1Ld/iMlwAaZqWmWLaZQoY06+3FFPMBttCp0WrS8DhpZZ17s4JL7nHJ3a65yZudMsndLjV47vc2rYut37saDeua6ybtGmim7JpkpvaNcXN7Jju2jdPdztk290uXZPcdsTlrO/dHpkQvoORlVGhxU8XiCqb8ZMF5osptnienybpHOonXaIINytfP0U2YOalfI8JYlOFYj6RKxRTBbo68q6QyhXzqWwRf6h2u2w6x3rOyyVz7Mv7uVTOZ5/HkpLK+tl01i8k8l6e7Xw6Z/uLHOvl0llKg5fc0vlCge1sMuvn0sH5BcLn+Dzx5PyudHfB57hsEG++0J3ZnC9QPPlMNt+V6soXk0XOy+LfXehu6cqSZuoqwRz6BfJRoHZH+TmWXoGpb62nwebOYx/T8voux7VfMOMg9ntZXq0r8IpdgQoqZd2znwn5cwxOyXNMN2HA18uFfgSUn7m0OH32s/7OU1Z57RM2eDPGdnpTx2xy243v8MZNXeMK260lVnpGigl/re95q5N5f1lLt//8xLWJ5WO7iqu6eQR2m8t1/oO0/Q8VrGU9lQGrBFjPlVl5hSCoEOMXLm2fVTTDyoJVykz8rYIYVgDKt4OKQNl+qzSE+23dzCoYW3poWN/M/UMVB0DIbU0AjWlugQeA1dzPw96PzcRMY+wHtBj7Pj+cX7AckSOOcoGnpRh0z05jScsxaAGmiMfEuU836i3uP5GWw7m9o11YkmagSW4q2OZWH7QoE6X9ph55jmOKczLDsUGOuOux7Qfbtm657AnDbqYJbpBh9QA9LO23uFJBKzERdKj2HGPheUH8bLP0/Z6wLUyf7QL9+EmUHC0O0mfxsiuIz/zsz5bmbzc7W5r5pIH7q82tXiA9rHI355BkwrdgizTM2O8jbgnu+ZAI/iF+HhIFH9tt5xNzkejtfmfZwgtJmLtoQesb/vnHtvXjJvhXv/4dmx/ecz8YcXSRcO1USwrRoD/BZn7DS173yheSXSuXJLMrliZyq5clulYv9wqdG730pKl+y5QZheSkKS65/dRiavtpLr39lGJi+ymkhuRYSvizFCNGpIot1lE29vVs96Se7ARR2x4gGQ28WOLBdnAw2zYBrAHi9MCvQIAc7xUSPrpMtcZRN6AOkPMc214y7/kpJBBdZ933MxyXBEea86gDFK1LBE3303QJUA8opuhHyeRJeuDPfko4nU8WrWpEOMWMhUkVK4UCpgp+MZPncrBzSSdh4MePiO0E6U+xnS5SU85zqaGytp7mCktwVXA89RYUN+EXTaHziYJdK5SAXyQ5VEQQbcq8mCgWiLZIBcMqC36RfTkSU0zlclRGqJjkiz51OSowOSokVHey7O+mstJZKFJhyaY6XSHTUcilu6lo8OId292j1rHdlcxnuhIsvWy62+tOd2U6xmxs7RzVOSqT2zSqrSPb1taZTY3dmM+0dRaS4zYV0+N5IDJxg18Yv5HnYby7Mm4j1yqViY5Wb3OW2m13xu/sTruObMrbQA2xoyvjb+pscZ2drf6mbvZvbHMd68cWN24a5W1eM9F1Ls8UNq/MUsFZSU10NTXQdSBe5xL+RopnA5X2TrY7WHbTo9ANvlywtF9hK7/qDEu7X5lZxaH8cYZV2q3SYBUAqyRYBcDM7mVWcbL1cH/5tvmF2+ExlGZwvPnbftu29fC48m3z4ypTBQMOkXPc4uom8HZBRsH9kESY2L4Jewaz2rI9A52NXQQg3oryf8J6pdzPCOgcwmQQsWc/lFd0H5qz+dVjc6kZphsoAjc80wxb5VR0g7s/t9JAPPDGz9QFZ+LCPZX7J/fe4BzzDVpMPeeyl1avHWbiw8RrRWtG0ZriFmtCxH2H+7HJje3nKE4O5MdPIFjBWp7dCIPHaL4gEbSiaEEl7F7PuUE6OAtHAOgHwVmCfc8SzAEWLCGYcJEfvJF3jyY4OxM0w03/uEyI344EVnC8BWy3WTQH6fJpydr5np834UPLgkzTuIVX4qDnr215yyO/HP1Sy3aFX+/11XWPTj4g5z3KJ9ceRVtItXWZIx9pP99NnaA7VaR96+cYp+hGoUh7+enkXoVMyiu4GbQg2wkxCZmAHjmlZuM2sm896XqCWkaQtWKAzs+zHQg06cj7hsfUnsiwvIf0UvkoFn2uALgn8gmIWkUGMIHmASNQeJqzAEHKjTDZJLGARN+sIkRUlnW2KbZEKthHcPRnFLykVRjZ70OaKqEVgp1tfRtdQXWNXeSE/hGLlbgIioKgGsEJnO0FHQ3UnUhyis4WC8AiyxNuykv4meAcjqb2kbTqFTUQO5u2diFtHQzER37pp7FU09eQILNW6SFZVnmhXC3p1n9h16epppUhXRecS2WFa8qqbgmfjgzbSSB2USXZshqiEfGo+nFcgnft2IcvspbcbA/3KSarrBCvXci237pLWrkiiIsaINFzkSUpoQxLKjlWOfGpnFgcQUWHGjeK61GZ6HDrxqxxK8es9bonr3Od7S+5fOsqajIrJnjJF8G+ltjW052CQhc3eKO7ee7Fi6wT1iTcGNLT2uW5Ufi1dhe8FoaatmT5vUC4kOCSS2ZYtvi5ZCuoqJV7GT+fwG9Ma7HQRq09keEistp6C8dSb4VVIcnlmaRnit8f1VrOS3D1UuLky+oN9LsUeSJRyHNJcBmwni3kC8VE1s8XcxivHRbp3+EEemRY62a7SEWOvTxLo8emwFH8gHK5HOfT62PnFLhA7cdWoOcGH58qGf52bXDJsl0oJsdtN9WA228ux8+f1AQ9MlQOgguH0uR34opZ2wc0ftn8QjySZ6WR8Pk9WInY0BhKwNb5OVP36+Iy5CKwRgPJ7dlv1w1XJZVDP9eZ8LjW7HwuO1IPArvcSIfrJixKnrqiXYZEbpUXS45t5rv9glVMKEcyaw2NbFB5sf12PnexoFJj6ySr17b9lAAR7Muxz7bpEGNpV2rPNoVgweN8qlt2nzcQPft6lj377P+223auvWnSk+bgkPj9sxt93VPNhbWYRMwhLSt6J4Z9h+F3Pvte13tf722OPQW/9/b2L223s3yMcF7PcTa4ygbVZVi3AVPWxWdd9Iyd69v97IT/e3by2vaZwTUCMrtRBndnw2dywDa3OvwCneQi4w5izccAr/2zm2fPsfbrsHNt2/abN//sMi5t2wZ/tiPYaWeXjjcv4gi2Wbdw+K1x0+SGbY7jTU16tksnm4qwK4jTDgi2bLt0QhBaT/g959rRL7uX47a4yuMmLgKxuMw/dIGosjG6+0E3/aXLOMZzq8a+m4cK+9gNvxSvnctBnBbmpSesl+PuYWrbxEs8pto9e3tWytNicffcV2xfz1Fbtkv7wnQF6HuCCMIOz7W0mbOc2DE9Wz3/0SFuVT3rwTFbVntWtqS15F92aE9YLwfYk28LpOSCXVvwEUBQMFsi2Op8EwHqJtxd7TbPZLwIQJ77tm2bGFA54rLjzsi9E1/uZj377Nhg3fxMPqikBPtZIjjBPruj2p/1zwfhBKUarvf4W1otLmNvxxgkhMa2MGNnx798rDUq7Vi7Zu1cC9u2Wdlq2/ztOgjjNzR2XHhssF063/b07Oe6KIUfeFi5W50PfsFvhDqPhRscv+XcnnATVFHS3LvTnJ/hmDQxI+0uFawX2KbSQVgpalxp/Ex/Wlja/qQZ4SWpWFkHnnWUmZ9VSOyX0NNxZtJm55lf+br9fkxPe461/QbRjrVfV8+vmG3iM2fH2fUcVPODI3uOt/P+r3WGe20X7zBwZvjLtL32ezO+5qybMbgnhV7sMzahC44NN1j2pO7l/WHYdkgYtoUXOju/fNvis7SaK18Pt8uP7X1uxbeJ1FibG0rYYe7Ccy2UhXu8tnjugz8fVoMYjalbCx7eYXZ6QNTjPwD+Sry/Iy2/7x0/+y7Ar5197+u9byjbhHMhx08lnKACwLYJ/HSWNjAn+F2xbV1ufTqOO50dR2JW7na8gbMC7/lN9viXmkZbrivbb37mwmPteAsj3Bdu26/Cao1W07SaqIVv62ZWiyzftv12vO2zc2w7PNeW4fHmH66H+3vO5T1nXvJKJngBLDWR75y3uRQP9tOJMfxexzBobjQPv8ck0ixTPEAZ7bX4PB5PtHitHJPgWSZbpKiLVGziPreZC6mD9Q78Nh7ymEt/+s+J/Se85I3+2dTCQ78oFDsLqxi1vt5N4RhTnicCo8JF+p7FXsDC/IS/K4qjdKdgZ9Qc14OVqz3jDbtoW3qt23Zo1p1rx9m2rdvYDTvX1s3sWrD94T7btmPtOPOzuGzb/MMyLS9PK+OQX3j92P7wWgj3hefYdrjfju+9bdea7Q/Ps21bD4+zZehnx4Xr4Xm2NLOwrTzD4+3Y0IVh2f7wePMz13s78JsDo72cmzCL3j1q6OMmusQYaubjWlyijR9uG6I8mr4IW47hR9VGL4IN/qRV6ncScSedA7Tfi12sM9jU20jTlTZxsG1vd9j8EwWe9dO+d1mqT50GlWNzdAIwzsR1s7RXIezNj8ImBresmewyHaP4LjClsmGiy3cxfWAXpbi5jVdhRtH6Y1AJT2zs12JXfZpS9OgwsBcvrZ/LytMqOQnb5hEPYz1gZRbUkqgvcG8xPWaP1c+s7ANHncP6lpI//Wty/qlvLlzPgVanY4wNJ9CbYo8LCS/FI5zguVqKeoydyGATGv72+Cbo3gvuW3TX2FCQLWHbdrqLgbA99TD60qg/Uu+x8wnbrsic113apjZAn1aWoSVB+OTS6gc2bCTYJqw8r/6EYQdh0VNjyQzqYRZWtmPi6GJ2fKqQnZQp5ibxzGjU6GJ3G/WuUdhoOgVaWv1cS9p3o3goRHEWU3DLUB9Kp4vFVm5W3JmKdKm4VMovsIttUpqkS4w6W4bip2OHbhf2W82Gexa9U751OKVAy0MqR4cN3QlcI/RWkEEeTREJddRUrqVl6Yuj08+tGjPqwRez6xf84YFNKx60tA/Vca+om8CH8Iea5kof/1UC/B0gzmT5NGatanv3mN9zcIG8kWWl3S9KAf6Z5YEYfX4DuifYa7zCG6z9/u0GZksz7g/BTbH3/nDblqHZ8fZzCcJAyMx/K+ddjoDMcpmJHS4zilFnPEts4YeYSfJuHqPfWrxUuhVRtRtYK61HE4Hg/XruEFz13Dx8ZNr8PHonfJ/BRYnR+I9m3fa3cYOx9HZwu+mgC5l7Fq/kecGsfLD3NnMrCASb+80GfpKduUJ+Ez1+m6igb2R6k47VRwejke1GHDjKbtQbnDvkEy59Cs9aXvNTV1x7qcsv4UvlKzng8ZJZD0pFB0/2xD7wf9Jm5TYKC5iwtIqcCWq4bfvC/eG6MbX95dt2Xrgdln0Xfmbc/7dcB7Ztz13tGONs+6yMbWmvi9l+2y6/dnpv27nmZ2Zh2DNW82tIt8HzJrW6zFRaylPRHz6j609BLXjLwtuem/B2LNF03+aDgJ+/ju117OdaKvKZXe9JhHo9DxVsPooOZjrcCOBNF9Mrd26EK4kjLsh/c39474gDGV4A3FfsdxAOWrTHqbZuFv62bGkW/sZCfzsm/A3Zb8yuafs9mNmjWftN2PVu2/Z7MbNXVMPfkR0fHmN+4W8k9Cv/3ZhfuG3rds+14+1xii0b3kWiBW+UuQnbDXcO1o5Nw1ZjT2ILubFtERK2h+UI/0JO3NKCLw+EfVexfSPRfKfcv3x9+qLUSTw9PBIRRE+L1PyDCwd9pc5oz62t+me9c6Gz3kbrmQseEiOvtm71c2qPdggnUiu1amVwDkHwoLPHL00PY3AM+2kA2MXs2cQ19voar2rxzMzjlTcEmoemwUXPQ8Auwma9aMfZD6KT56Q9PxA/30mvbhfVhQ5aAZ2J9a5j2VuCEb8cOnwHMyujfbDZVNf3OZVH7e9nLoD7XPGWC1zhNy849wA8Vww/huCaIMvBWIzwRmE3i/AmEi7NL7Tym075DcXCKX+FysTXLGBVWtr+gGeZf/lNxo61/YEfebObhdwgCXC9BK/RMe3wDojwLAR8JsuZFMwMxHp6j3h7S/m9rGGfifYqxH4lYr+WJ9MvPubciwf2UREeZPQ6bAACiLW1uCeWzBpWtm6PK23dxNvWbRkKuW2bQG7ErDFmwmy/HzPzs99K6Bf+xuz3Zn62HRj3MFs2vOPSb/oWPA3L4BOX19e6tIF/MnG+FetX3C1NHZ2Fq1pHF27ltp5M01Tg8mbgU48Q00XNAz2yYI/cSo6Wrgm8jV6zQVxWIbDZYmz8nHWfFRirU+SdsXyCgSD0GTJmh3e0GGSycj2TwpxQ5YEdQ5R2GFm+dsdM0F+N7YtZlh46yyW6znSpqfzir2KUzI8O8f3lp7CDc8yFgmxibOsmumMx2zYzQQ63bb9t200kPM8qOuGNwW4OdvMIxTncNj+rSPS+odh2cCzXVlPU1slvJFwn80xkXGoXfg47ceHsiljvmHMtsxBvWtz+UgR9CZfgUn4idzNyYPkSxsPsNsCsd9bMOzASOYtXIhBu+/1MwqZi2/cy898Os6U1riibwNaytF4ms5ew5zETbts2Mbcl45WC1jCrclEmEJUu+noyupfIP4n9aKBEbDjWf5H9Zg3vEGa7LvbHDsb2w2Zj9mOnYe64H7t/HoRYn+dSbxzvvImfdPkH/uiKJtQXoOyhiJtY243Baum2DAU5FGzzszCX9bcfYbYWs1xECdzAdTLHtexC8nZHyK0CuDut73bmLthI7e8Z1p+mW+tWOqkuW+66n28vfae+PDt2oe1W7qH1QRMoCbj1pJnNLC1tfXJpfQLLNZjdt2xpthp7CjMhD/wRa/ttyjUgAft9NZ1DwGaQ6fchINZqb8dMjOwHshiLrSNfVmO3vFiN3ATX1s2stWzCa1a+bf62ba1mY0JXaVCrn8jSfvR2Q1iKPYqZGHdwwXT/wCUPeb1L7H+L8294m8tdzUMuO3YrEYetbhpAaSTX5Xk78pb/XozvehX52msuX6ejJf6cCTmC/iR+1y112Sf7EvL2RgJRw7wg4vZ4yUR7h5LNYmlm96vtMRNs+42uxKwn6xZsOWb+LyLe1tMm16QEmlLgKesTscmlMj8CMToLcfwB2zeX/Kq2IJ40gVuvI6M9AyG2pW2b0Jow27ZZuG1L2w7FOTwmFOfwuDEcU96lbS1nay2b8HZhJrhh69nE2o61G8SOmN08nsMux+7A7oKJnb+V44M7tOa9z3BTfyHrsmef7PurTt7qCG00CoG7uU73cRkT8n3MaKG/mtkFN6E2D/HU6Qn8rn0SMZ/d6z3hdnbIDY8AYm4VbOsR2RlrL5n9NsOK9hLWn8fsPmVivkJd5VCQ65dAUwo84nUhQvvNEpVVrJ/Denu/lNjBMXNY2M3OmJlIc88LhNfEOfSz9dDMz8TYtu34ULhp8AaCmystrRvaxJTBdIF/uG1LE2Yz605bjtlxtm1Cbeuh2bZ90MTC6NOR/t3Z8RrsAGxfzLrb78OuxB7sS9DxD9xqz2ub6Fo+TmPiEJ6jfi/jZ2+3TMk1DgET9H1d+tXkaH+z/VzLnlTknmWoxX200P/OXHTfHcfEUOU5nl2+ofVBE0DIrXJtQm6/SbPdSmbPuJ/BnsJux/4Xew4Rt3uBnAgMmYCJULO7+wFwI3b2K4Dgfhe0hk2YTaRNTG1p22b2Iwz9Q/EOt02Ibb0bIbVwqu4Q9JlEYmOTTNBtaTfne7C/YheQDGvZv6LLe+n5vCZ/Gom+caXLnjSrj5b9KwaiAyJHgOuD1yxa9kC8DzRD0Pl6sIlL8W4S+5sVrvvh8rIeF7kcxCdBCPosUmv1ob0w6xVpx5ZhT5bsOpaLuTPosRYg5CpHoJkF3n5U5mz06CnYJbbRn0MQb2OfWSQd92sbDWst9FDUrYfBbtY3Yz8k/Vu1vvAb0JXeS/4Mb/ZN58b/5Yzf9ajdpeTiS8DKtMWlDuYlkEOZUuFAemO4Jnx7JHM5gn5/uaCrrIdXzqXWuQm59fbtXVpuZPkY9ihm953HEXNrBMiJQFUJNK3AI3iBwLO8C8JmsXII+mgSbCPcQ0G3MQX3YkELjHwtZX1YrttLv46J7D6GAPzlmy731XMbebKQYRGKx0nWSud7KXvSQj+CJ0qHUqbTSfkdTFZ7B/Ol/5hPNtqz3cBJ0EMSQ1uWCbr1lNnjDWup23Nye/z1T4yPZQW9Z6zKiUBtCTStwNcW88hj415tZWUtgvA5+q6sP4KZoH8bewpRH1H3/0bP254ZaD/HKOntCq77cy2+//S5BCwXHwJPeV5Lu0sdhKAfQSt9Du+gI+L+7VTWfvhNl33YKmt2IdmAELnhEUDUraJ0CHYwZqJu3e13YjZIlQmegjEyrMqJQH0JSODry7/f2BF062IPB8bZTWRfbDFmgn4p9jB6XrFuPmu1j3KZj/NOzeVXuu7LTtBMbSCOh+OTiOPGuJYjaKnPbXctBzDK/SFSvogZ4H41xuejqCWnylpIYmjLUivdessOK1kby1uxBdh3EfT1LOVEIHIEJPARKhJE3UbWWlef3Uyspb4Kuwe7EjsfQbfR8hV16z1vIsJ+Fq32ybTaP0Or/ZkTKhqDAqsGAXpbtqO35ShE/ahxLkNvjs+scMUF61z+m8zHHAzWylQj4iYJE1G3Tg5rpR+JzcGexWy8wtcQ9KdYyolA5AlI4OtYRAh6O9GHrXN7lr4Bs+fo12M8u/Or2jLo8tLHjHGZT9mz9itd9stqtUM9wm6T503OuMw8XlecR6VsJ5JKK9K//E8ud7uVnf2YWyOc/qgnDVG3OpGJ+dGY/R5tYNxN2CWI+pAGqXKOnAjUnYAEvkZFgJh7RGXPza2r3UbYWkvdWlr3YbdgP0bQtwx6Yrtqbo3njZ3gMmcymnqXgsueRav9KbXaq4Z7RAGXxkXMR9Tn87W1HZiR4WYmJ/slon5fWCFT2Q0fMb9K+12amB+PMRgxGOluFWzreg96QliXE4FYEpDAV6nY0HNjG74uYxOIWLf7i9j92M2YCfpqljV1zEZ3COJ+Fq326550uW/3nomspolRZH0SWOd54+lZORrtOYaWejuivhBR/xWifo9EvU9kQ/ZE2KksuTdgr8Xsd3g1xm9Sz9PhINcgBJpe4BFiGziTxjYjuHcNt1wJZyLnWsvcxNzMnqc/hz2I/R37TrW73ImjX2ejq3dyLZ9ALA5hIN3XmI3uAXufRy4aBGy2wHGu5Si+sHbsWJexwZW3Ieq/Q9TvlKhXpowQdeuCn4e9FZuKXYt9BlG319rkRKDhCDS9wFOi9qOfhh2DDUrgEXN71Gk3YdNIa6Wb2aCcR7CHsZ/bOoLe79Sx7K+Zy3otr9rJZb7CgKwHV7jsh8onNKlZIhTRNgQe8bzMLi51RMIljma2wAMZ/X4XZfTn+11uUfjtc3W/b4NtyB4I+wxOehv2Oswmm7kMuxVh91nKiUDDEmh6gUeEFyLY36KEvzBQKXOMPTN/I7YHZhWCJ7FwEM7PCGcZ25Fy5/Oq3Zdc+v8lnPd2piC9MOXnbtKEJvUtosv54t/bXPoAut9fu4fLHE5vyiO01K9Z4fLfCite9kBYbuQEEHZD+U7MKuJ/xT6KqK9iKScCTUGg6QUe4bZ3WouD6D63Lnh7B/332LMcz705um4zc9F/ybWcQyNl42aX/UjvD4VEN+WNmTJ6UWYj6se/3WXmM/nMElrrCzpd9scTfP8ly7EqXpUpd0Q9SUjWG/deLI/9CTsPYY9EbxppkROBmhFoeoGHtA1+u+OViCPoNqlFLFy31/rGtMucioj8MuN3/8meQcjVnoB9Pz3p0scx7uEYhmoXqGxdw2d2P87kMyssNSqXypUJwm6PyN6EvQezZ+r/gagP6pEbx8qJQEMSaHqBR7hvaZSSfcnzJjDfOJPWeJPyLntaq+9r8FCNC7f0kZ7jbAR8ymW2Q9QXFF32PHsV0ZIiUa9sgZSEnUdQ7kTM5pD4EsJuj8/kRKDpCTS9wDfKFcBnXee0ucznEZSrmHP8y+dG/BFCo3C3fCzxvFGTXWouFSv7SM+epdfaLkm73P1UIDWQqwqF3YewfxrS9taKnAiIQImABD7ml8KzjOifxetvvkscjJJ8hdffHj435nmKQ/JtAOM5LnUoH3U5fprL2KuH93qu+NcnXO5L4dwCUvbKl2TpGbsNdv0AZpNESdgrj1khNggBCXyMC9IGbs10mXPIwr0r9fpbTUoS5vvQUj/+HJeZS2/JC0XnXbvBdf9gsu9vsgTYcG256hBA3OcR8kewldjZ6oqvDmeF2jgEJPAxLEtG/ntZlz4ZoXkLLwD8gNffbtYo7OoVZDcfAUq4NAPlvNcyWG4jgxevZbDcqW2lmQgnVy9qhQwBhH0PFqdhNiHVRQi7vc0iJwIi8AoEJPCvAChqu21kdta1nE3rcT2vWX14vO+vi1oaGyE9HZ43lTcRjkfQj024zCg+6nINAxfPYuDis5Y/DZarfikj7PZq6kcxHoW4nyPsV1c/VsUgAo1DQAIfo7Kke/gdjMz+QMG5n7X43VdJZCpbeKUR8EfTUj+WT7FO4331G6lIfY9XDW12wqD5WNkYFVpfBBD2BP4289xJmE3z/D7EfTNLOREQgSEQkMAPAVa9DrXPhLa49Be577VkXffHRvv+8nqlpdHiLZsD/hhGwL+K/NnX2n6R8rN3Nlpe45AfxJ23ENxnsQ7s4wi7rvU4FJzSGEkCEvhIFsvLier20q/jM6FMWuP+0OK6f6/Xrl5mM9w1+/BOu0vNKbrEccwBf0BpDvgrmQP+9nAO+OGGrfOGRwBh5zFI0B0/n+VPEPZrhheSzhIBEQgJSOBDEhFbrufrdHwq9HMJl5yad92f5dnvYr12NfxCuoHP9851qcN4re2Y9p7X2h6ipX49c8B/Q3PAD59rJc5E3F9DOGdh1mtyEuIevJFQibAVhgg0MwEJfARLn0lr5vE98E/z/PevV7rsV8PPhUYwqZFOUunDLgfzTP3ouS4zB55P8Vrbgg7XfdEk399gidfbB/UrwlKr/eOkwAbRfRdh19Sy9SsOxdyABCTwESrU0lSzZ/KsfQeE6IsMpHtcnwsdWgGVRP1ARH0+H3Y5goFyz9EFfz1vHPwk/LBLy9CC1NFVIIC470OwNoeDtdo/iLh3ViEaBSkCTU1AAh+R4u/y0scw1exptDKvusXlvj7f9+1LWHKDIGCzyvFZXD7BmjBRPwpRZwIa/4Zul710rO+/aEHojYNBgKzBIQi7fe3tZMxmo/uWWu1QkBOBKhGQwFcJ7GCDLb2adUbSJXYsOO8LtNqfmD/Yk5v4uNJkP/si6scyq5yJ+jJrqTMBzUfCCWgk6tG6QBD3maToK5jN3fAhxH19tFKo1IhAYxGQwNexPPms65t4NesUWu1/VKt9cAWR8zL7M1Bufs5l5iHqKxD1G3Mu+zF9gnVw/Op1FOJu32j/FPZLhP0v9UqH4hWBZiIgga9DaXd63vS0S38hwXvtzI52hs2ONr8O6YhDlKXu9/2t+53Z5A5H3F+kQnSDvlckMlcAADQ6SURBVKseh9ILppm16WVN2A/EPou4L45HypVKEYg/AQl8DcvQXtU63GXenXGZd/Je+295r/0Kvde+bQGEz9QR86PofreW+nJ7pk5L/VNqqW/LK6o+tNqnk7bzsSXYRxF3zUYX1cJSuhqSgAS+RsVqXyE7wmU+y7vsSze77EcZ/LVG77W/DL80+t1a6kcj6kci6ktpqdsz9VMRdft6mAbKvYwr8muI+0Ek8mzs1wj7lZFPsBIoAg1IQAJf5UJd53njx7qWU5hc+xC+/Pbvab78psFfPdBLon4Qr7TNK73S9jwt9YWI+q80UK7KF2YVg0fcTyR4e8PzK4j7I1WMSkGLgAgMQEACPwCckeyyUd7dLvMvY13mg8yY9veVLndSOGPaSMKN+7l3e156P5eidRe80nYoLXUT9RsR9V9I1ONdugi71V0/hs3GbB751fHOkVIvAvEmIIGvQvnRHb83n3Tl+9XFzrzLncYguuebeca0Rzwvs4dLMVtZ4sj9XOZwut6f4vHEDTyquCT83K16NapwIdYwSMR9EtF9C7NBdKcj7tkaRq+oREAE+iAgge8DynC9+OrbFD4M8zG+If7qgitc0urnrrchxM3onvW81lk9oj5/D5c5GFF/jNn5btzsun8czignUW+MKwNxbycn38auQth/3Ri5Ui5EIP4EJPAVKEMTs5ku/W7E/e0I2RVPuty3Z/t+07Vglnve6Il8pY3X/+bPcpnX8KbAA3TB38Tc7xeGc79rmtgKXHARCgJxt8F0X8YuRtwXRChpSooIND0BCfwILgEbJPZW1/ImxOxkgrmDLucP2+h4ewDZLG6157WNc6m5jH6fN9ll9kXU72XMwcJ1Lv9vk30/+CqYRL0xrwbE/Q3k7EPYlxH3hxozl8qVCMSXQFMKPOPf2imyUbyD/ijr9h3qg7Hb2B50q5svvh3+Npf5BC325QWXPavF958aSyDN4OyjOKNcy5Ge84/ie+qvQtTvKbriNatc/mvhQMLJzQCiifOIuL+X7L8Fs+fty5sYhbIuApEl0HQCj6DvSGl8AFvJ+hSWdpO6GjsXs69bDeiYKpXX3RIfdsE3M4oXZvzs3QOe0CA7N3re9i3M+Y6oH8lHcXZnVrnbGET41ydc/pzwcUQzDyRskGIeVDYQ909woHXNfxJxXzuok3SQCIhAzQk0ncDTSn8eyucj7mey7MBS+F3H9r8MRH+z5+2Qci1nMflmm+cKv0j5uYUDHd8I+8jzzKTL0P3uzRvlMqbftzD6/bKbXfbu8Gt3zfQ4ohHKdCR5QNjDL8HtRTinIe72+5ETARGIKIGmE3grB8T8oyyWIex3sf7mwZRNyqWPY2T8laNcfgHnoXON6bo8b+ekS8+D0pFpl5nAIDkqMsVL/+Ry953g+wXL9fzGzLpyNQABxN3uFeeVDrE55Qf9OGuAYLVLBESgigSaTuARdMTLnYQtYJ3udvccyy+yvA/r16X97C/slbdGVHZ7b9+63hH1ubTYLZc3k88fpP3uh0MgJ4QrWjYdAcTdLoqvY10I+7lNB0AZFoGYEmg6gafxfSNlhZhtcXcg8En8g9bpFt8GXrHZ5PZ16dcw8n0uYn44XfB8n9u/ueiyX2Ww4NMNnHVlbYgESt3y9o77i5hNZCMnAiIQEwJNJ/B9lUsziLu9zjaWiWdSLnE4s8kxRaz/NFPE3swX2n4bfqGtLzbya14CpW55G6vCoMrgU6+N2IHVvAWsnDc8AQl8Axdxh+dN4zn6HLrf55ZeZ7u34Io3d7r8xRN9f71lXbPJNfAFMIKsIe42fcH3sBfplrc3TeREQARiRkACH7MCGyi553te4myXmY2gH8bz9CN4rW08y1sYJHfFEy53V/g6myaeGYii9pWeuf8bJJ5H3L8rIiIgAvEkIIGPZ7ltSfUazxvbxtfZrOud76gfwqj3VTxPt9fZ/o1Bco+FB+p1tpCElgMRQNxtLKk9a1+BWQteTgREIKYEJPAxLLhur3X3hCvSSk8cOsFldraZ5ArOuz3run9qU+XGMEtKcgQIIO72nvsF2Gpa7jawTk4ERCDGBCTwMSi89Z43sdWlDkm6xMEk9+CEC2YPu4Ou91/c7HL3h5POqOs9BoUZ0SQi7nwEMZjJ0d5v/05Ek6lkiYAIDIGABH4IsGp16FOe19LuUq+hu/1AnqEfOMZlJhI3A+S8O3O00tt8f3WYlvnhipYiMDICn+b0CdgXaL3TKSQnAiIQdwIS+AiUYOm99H1JygF0ux/Q7jLt9v10BP5u7NstftfjlkwrLLXSjYRcJQnQeufbCm5P7EzEPVfJsBWWCIhA/QhI4OvAfglfsJvqmGvGuf0Q9H33cy27MCjuKbrc78X+k273h8Ju9zokT1E2EQHE/V/J7jzM5pbf3ERZV1ZFoOEJSOBrUMT2PnrKpfZJuOSriW7vaS4zjRa6tcofQNB/zitsj4SvsFly5ts/ORGoMgHE3YTdBN6+ChfMi1DlKBW8CIhADQk0rcAzPe3uzGD3pLFmfXtbsj3iEej22tp4l34VXevW5TmbAXGzMy7TxQimR5k57mH8r/62yz55ru9vec6pV9iMvlwtCSDu+xCfPXf/DOJu09DKiYAINBiBphR4BP0LlOMu2Kms2+jhi7H/wq7FBu02eN6kUS69G6LNa2uOpXsVr62Ns9Y5k808il292eW/z6trW91Azx10DDpQBCpPgCt+R0I9H/s64r648jEoRBEQgSgQaEqBB/zPsc+WCuADLBeU1vtd0M0+le/Bv4b3z3fmoF14q2jn0S6TRMyfQsifzDt/oe/yl47y/SXlgYwt39C6CNSZAOI+iSTYLHU/QdzvqXNyFL0IiEAVCTSlwNMV/6I13DG72b0HW4pZl3q/LXjmdD8+4fxZRectRtDv2uyyT5e3zG36LzkRiDIBLnn79MA3sL8i7tdEOa1KmwiIwMgJNKXAh9gQ+rWsvw6hP4Ylvez9u4zf/ZvyvRL0chpajwmBL5HO5xD338UkvUqmCIjACAg0rcAj7nazCxzrr9hFHx6rpQjEkQCt95NJ93bYZ+KYfqVZBERg6ASaVuCHjkpniEA8CSDuR5Py12On0nrXRDbxLEalWgSGTEACP2RkOkEE4kMAcbexJWdgNkud3nWPT9EppSIwYgIDPncecegKQAREoG4EEHebW/5r2LcQd70OV7eSUMQiUB8CEvj6cFesIlBVAoi7ffr169hViPvtVY1MgYuACESSgAQ+ksWiRInAiAl8ihA2IO7/PeKQFIAIiEAsCegZfCyLTYkWgf4J0Hq3AXV8ath9rP+jtEcERKDRCUjgG72Elb+mIoC470GGT8VOp/Xe2VSZV2ZFQAS2IjBgFz0TwMzE0thY7Azs7VudrQ0REIHIEEDc20jM17DvI+4vRCZhSogIiEBdCPTbgkfMDydFNp2lvWbzVewgLIP/JCaGuZR1OREQgWgROIfk3Ii43xytZCk1IiAC9SAwUAv+fSToI9hK7F3YSZj52fej5URABCJEgNb7e0mOteB/FqFkKSkiIAJ1JDCQwI8nXauxI7FVtNofYtmCbcDkREAEIkIAcd+XpFjF+3xa74WIJEvJEAERqDOBfrvoSddV2EWYvU/7S7rmZ7P8FWZfo5ITARGIAAHEfSLJ+Ar2DcR9TQSSpCSIgAhEhMBAAv9X0vgSZt1+f8B2wU7HnsTkREAEokHAPpr0N8T97mgkR6kQARGICoFtuuhpqdtAulYSeAHmY3/B7DvSSzD7fvqPMDkREIE6E6D1/m6SYL/VX9c5KYpeBEQgggT6asF/iHT+pJRWa7GXu41sfLHcQ+siIAK1J4C4v4pYT8ROofVerH0KFKMIiEDUCWzTgmcw3SUkOo19FptTWrftFPvGYT9mXU4ERKBOBBD30UR9HvY9xN0GwsqJgAiIwDYE+mrBO0Q8z5E/2OZoeYiACESBwOdIxCLE/ZYoJEZpEAERiCaBPgXekspzePvUpLXW98HsGXzorqYC8OlwQ0sREIHaEaD1/jpi2wH7Zu1iVUwiIAJxJNCvwJOZszB7F96ew2/CQrc2XNFSBESgdgQQ92nE9nHsTFrv1ssmJwIiIAL9EhhI4Gdy1o9prV/f79naIQIiUBMCiLuNl7GpaH+DuC+uSaSKRAREINYEthlkV5abP7L+frrqp5T5aVUERKA+BGwq2izibnNSyImACIjAKxIYSOBncPYbseWI/JPYYyWz2e3kREAEakSA1rt98Okd2LdqFKWiEQERaAACA3XR/4383dVHHvUMvg8o8hKBahBA3G2A69nYhbTe11QjDoUpAiLQmAT6FXievdv3pINvStNyt8E9a0qvzzUmCeVKBKJJ4FSS9QTiflM0k6dUiYAIRJVAv130iHoC+zL2AIm/BjuW9SuxyVHNjNIlAo1EgNb7/uTnKOziRsqX8iICIlAbAv0KPNGfgh2D2bM/cwuwpZj5y4mACFSRAOI+iuBtWujv0Hovf021irEqaBEQgUYiMJDA23fgv4ctswzTPZ9jYQPsTPTlREAEqkvgkwR/J+J+Z3WjUegiIAKNSmAggbfn7yby5e5f2Fhe7qF1ERCByhKg9X4IIR6E2UySciIgAiIwLAL9DrIjtAsxaz0cj03n2fsilu3YcZicCIhAFQgg7vYhmc9hX6f1vrkKUShIERCBJiHQr8DTJb8SUZ8NB/sk5Y7YjWb4F1jKiYAIVIeAdc3fgrg/WJ3gFaoIiECzENhG4BH128m8zUN/OPbBMhDvsXX228dmzijz16oIiEAFCNB6P5BgzMp/dxUIWUGIgAg0I4FtBB4INkr+Wexp7J9Yb7eut4e2RUAERkagNGr+84TyXXXNj4ylzhYBEeghsM0gO1rn92Pr2W2vxO2BjWH7bpaHYvtiz2FyIiAClSVgFeu7EXf7rcmJgAiIwIgJbCPwZSHa++9nYitKfgtZWjf9B0rbWoiACFSAAK13qzjPxTRqvgI8FYQIiEAPgYEE/g0ccg6t9yfsUJYPsTDB/1fblhMBERg5AcQ9TSg25sW65jtGHqJCEAEREIEeAgMJvHXFv64XqHlsb+jlp00REIHhEziZU22u+TuGH4TOFAEREIFtCfQ1yC486r9YuZZR829ieRtm3YhTMWvZV80Rn6VpLD0GGsxXNcoKOAoEaL3vQjrs93VyFNKjNIiACDQWgX5b8AisDbI7DPsy9jh2OrYj/hV/PxdRz2DfxGz2vCy2lvUO7CFMrwwBRK6xCCDuHjn6AnYJrfeXGit3yo0IiEAUCAzUgrfn7jaa/ooaJPSHxGGfpLXWzDOYPYsch9lEOxch8q2k5Sesy4lAoxB4JxnpQNz/0SgZUj5EQASiRWCbFjxiejs2Dzsbe6IP+/cqZOG1hHkqIv4Atgkztx6z6XFtUp23VSFOBSkCdSFA690edb0f+35dEqBIRUAEmoLAVi14xNwEfzl2H5bEbOBP7+7DajwbtxH6R2O/x3q7N+OxurentkUgxgTsbZTf03q3x2ByIiACIlAVAlsJPDGYqB+L7Y69C7sOM/Etd13lGxVa/yrh/I4Kht34bAY9G6k/HtsLszS+EZMTgdgToPVub6JYC/7y2GdGGRABEYg0ga0Eni7xHCJ7MSm+GpuA2aQ2Razc/ZEN616smCPee4n3AAKcg7Vj9jzeWu323H0h+32WciIQawKI+2gy8CnsPK7oQqwzo8SLgAhEnsBWAm+pRUvPYXEOgmut6gVs32z+1XbEYz0D14fxEP9k1tfhL3EPoWgZdwIfIQO3cUU/HPeMKP0iIALRJ7CVwCOq9gz+UjTVXk2z0fMra5EF4v1v4vkm8T7G+p6s/wCzRwWb2L6M5Znsy7Ec0HHscRxwZD8HHYb/+n72yVsEqkqA1rtd1/Oxk6oakQIXAREQgRKBrQQeP3sG/68I5X+wtNbGdawvZFnuuhDbSgvl3kQwphTJ2Swfw+wxwPaYib35fQ17Jfc0B9h79H05e55v04LKiUBNCSDuCSL8HPZjWu+bahq5IhMBEWhaAlsJvLWSEfSaP4PvRf91bO9BWjaytAlvbKIdE/lXFHjOWcxxZts4wnk7nja4SU4Eak3AXvN8CXG/ttYRKz4REIHmJWAti60cImkfmLHn31/HjmfdWta7YuNtHbOWdTXc4YjwdAK2aXG3K4tgH9bvLdvWqgjEhgCt90kk9gPYv8cm0UqoCIhAQxDYRuDLcnUB6/MR3QdYXoMdy/qVmIl/pd1vCfAt2P2YvRL3LcwR13ksrPX+K0xOBOJI4JMk+i+03pfEMfFKswiIQHwJDCTwp5CtY7B3lLK3gOVSzPwr6ugV+D72WmwKAe+Cfa0UwT9Y7oy/VTLkRCBWBGi9H0CCX439OlYJV2JFQAQagsBAAm+j0b+HLbOcIrI2iv0izES/ao54lmKP0nr/GZE8wroGJVWNtgKuFgHE3ca3nIn9O633/gZ+Vit6hSsCIiACweje/jC8wA4T+XL3L2wsL/eo4rq9TtRaxfAVtAhUk8CJBP484r6ompEobBEQARHoj8BWo+h7HXQh23dix2PTaVHbjaodOw6TEwER6IcArXd7W8Omeq7446x+opS3CIiACGxDoF+Bp2t8JaI+mzOsJbIjdqMZ/gWWtXA2sM5mt5MTgbgRsIF1l9F6r8lEUXGDo/SKgAjUhkC/Am/R2/NvRP5KVmdhT9ZQ3C3uUy0NciIQJwK03g8hvfZaaThQNE7JV1pFQAQaiEC/g+wQ9iT2C/K6BrMR9BvZvgJraaD8KysiUDECpYF1ZxDgRbTe8xULWAGJgAiIwDAI9CvwhGUt6N2w2bSmbeKZ3TEP+wImJwIisC0Be5y1GHG3sStyIiACIlBXAgMJvH2c5buI+6OWQpbPsLBux3m2LScCIvAyAVrvNgGUDaz70cu+WhMBERCB+hEYSOBvJVm9X5Oz7dX1S65iFoHIErDvvF9B631FZFOohImACDQVgYEG2V0OiQd55m4t9puxA7H9MbXggSAnAiEBWu82Y509wrIeLjkREAERiASBflvwdMm/SArtQy+/wey4q7C98b+PpZwIiAAEEPckC5ux7oe03mv1CqnYi4AIiMArEhioBW/P3U3kL6YVbzexBNs2Xa2cCIjAywTezuoKxN0mgpITAREQgcgQ2KYFj5ibOw27oCyVh7J+H35Hl/lpVQSamgCt9wkAeD92cVODUOZFQAQiSWAbgSeVX8Y+gtkEN6G7g5UfYpcj8geFnlqKQJMTsKlor6b1vqTJOSj7IiACESTQVxf9O0nnu+mOD16PszSzbpN2XIK4b8/yX7G7MDkRaFoCtN5fReZt1jprwcuJgAiIQOQIbNWCR8BN8HfBnugnpTfgf3A/++QtAs1E4NNk9qe03jc3U6aVVxEQgfgQ2ErgSy31R0i+PXPvy5m/ddfLiUDTEqD1/noyn0Pcr2laCMq4CIhA5AlsJfCl1Nr885fSmt8vTD3rCewEtu35/F9Dfy1FoNkIIO6jyLM9e7cxKXIiIAIiEFkC2zyDpxX/U8TcbmJ3sLTX5GzmOpvEYyP2NvbbDHdyItCsBD5AxhfReu/vMVazclG+RUAEIkZgG4G39CHiFyHuP2H1NdhO2APY4/hrIg9AyDUnAVrvM8n5GzATeTkREAERiDSBPgXeUoyYd7OwyTs0gYcBkRMB52y++d/Sen9JMERABEQg6gT6egYf9TQrfSJQcwK03u2VuFnYFTWPXBGKgAiIwDAISOCHAU2nNBcBxN2maj4d03zzzVX0yq0IxJqABD7WxafE14iAzTf/PF3zekW0RsAVjQiIwMgJ9PsMfuRBKwQRiD8BWu/hfPOfiH9ulAMREIFmIqAWfDOVtvI6HAIf4aR/0HpfOpyTdY4IiIAI1IuAWvD1Iq94I0+A1vtuJPJw7H2RT6wSKAIiIAK9CKgF3wuINkWgjIANrLuU1ntnmZ9WRUAERCAWBCTwsSgmJbLWBGi9H02crdjfax234hMBERCBShCQwFeCosJoKAKIe5oM2XzzF9N69xsqc8qMCIhA0xCQwDdNUSujQyDwXo59FHF/aAjn6FAREAERiBQBDbKLVHEoMfUmQOt9Mml4J/bheqdF8YuACIjASAioBT8Sejq3EQmcSqb+SOvdvqIoJwIiIAKxJSCBj23RKeGVJkDr/dWEuS/2+0qHrfBEQAREoNYEJPC1Jq74okzAXou7hNa7fUlRTgREQARiTUACH+viU+IrRYDW++sJK4e4L6hUmApHBERABOpJQAJfT/qKOxIEEHd7390G1f17JBKkRIiACIhABQhI4CsAUUHEnsBJ5OBOWu9Pxj4nyoAIiIAIlAjoNTldCk1NgNb7DAC8CTu5qUEo8yIgAg1HQC34hitSZWiIBOwzsL+n9b5uiOfpcBEQARGINAEJfKSLR4mrJgFa7wcS/s7YH6oZj8IWAREQgXoQkMDXg7rirDsBxD1JIj6F/Qet93zdE6QEiIAIiECFCUjgKwxUwcWGwFtJ6RrE/dbYpFgJFQEREIEhEJDADwGWDm0MArTe28jJ+7GLGyNHyoUIiIAIbEtAAr8tE/k0PoGPksUFtN5faPysKociIALNSkCvyTVryTdpvmm970LWj8KsBS8nAiIgAg1LQC34hi1aZawfAmfgfymt90397Je3CIiACDQEAQl8QxSjMjEYArTe53PcGOyqwRyvY0RABEQgzgQk8HEuPaV90AQQ9wwHfwy7mNa7P+gTdaAIiIAIxJSABD6mBadkD5nAuznjYcT9gSGfqRNEQAREIIYENMguhoWmJA+NAK33KZzxTuwjQztTR4uACIhAfAmoBR/fslPKB0/gkxz6B1rvqwd/io4UAREQgXgTkMDHu/yU+lcgQOv9AA7ZA7vsFQ7VbhEQARFoKAIS+IYqTmWmnADibvPNn479iNZ7rnyf1kVABESg0QlI4Bu9hJs7f28j+6sR91uaG4NyLwIi0IwEJPDNWOpNkGda7+PJps1W96MmyK6yKAIiIALbEJDAb4NEHg1CwOab/wet9+cbJD/KhgiIgAgMiYBekxsSLh0cBwK03vcinYdhmm8+DgWmNIqACFSFgFrwVcGqQOtFAHH3iPvT2CW03jfXKx2KVwREQATqTUACX+8SUPyVJvBmAuxG3K+tdMAKTwREQATiREACH6fSUloHJEDrfSwHfBi7cMADtVMEREAEmoCABL4JCrmJsmgD666j9b64ifKsrIqACIhAnwQ0yK5PLPKMGwFa77uT5sOxk+KWdqVXBERABKpBQC34alBVmDUlUBpY9xki/U9a7501jVyRiYAIiEBECUjgI1owStaQCNjAujzi/n9DOksHi4AIiEADE5DAN3DhNkPWaL3bjHUfwn7QDPlVHkVABERgsAQk8IMlpeOiSuBjJOyfGlgX1eJRukRABOpFQIPs6kVe8Y6YAK33vQnkIEwD60ZMUwGIgAg0GgG14ButRJskP4i7fQr2TMw+BasZ65qk3JVNERCBwROQwA+elY6MFoG3k5w1iPuN0UqWUiMCIiAC0SCgLvpolINSMQQCtN6ncLh9SObjQzhNh4qACIhAUxFQC76pirthMnsGObmc1vuyhsmRMiICIiACFSYgga8wUAVXXQK03ucSw0zssurGpNBFQAREIN4EJPDxLr+mSj3iPooMW+v9+7Te802VeWVWBERABIZIQAI/RGA6vK4EPkTsdyLuD9Y1FYpcBERABGJAQIPsYlBISqJztN53hcPR2AfFQwREQARE4JUJqAX/yox0RJ0JIO52nZ6N/ZTW+8Y6J0fRi4AIiEAsCEjgY1FMTZ/Id0FgLeJ+TdOTEAAREAERGCQBddEPEpQOqw8BWu8ziPk92Kn1SYFiFQEREIF4ElALPp7l1kyp/iyZ/Q2t9xXNlGnlVQREQARGSkACP1KCOr9qBGi9v57Ax2BXVC0SBSwCIiACDUpAXfQNWrBxzxbibt95PwX7LK33Ytzzo/SLgAiIQK0JqAVfa+KKb7AErGv+KsR98WBP0HEiIAIiIAIvE5DAv8xCaxEhQOvd3nffAftVRJKkZIiACIhA7AhI4GNXZI2d4FLX/Gnk8tu03jUdbWMXt3InAiJQRQIS+CrCVdDDImBzzf8f4v74sM7WSSIgAiIgAgEBCbwuhMgQoPVuX4rbHftFZBKlhIiACIhATAlI4GNacI2WbMS9jTydjn2L1nu20fKn/IiACIhArQlI4GtNXPH1R8BGzS9A3B/p7wD5i4AIiIAIDJ6ABH7wrHRklQjQej+GoHfGLq1SFApWBERABJqOgCa6aboij1aGEfdJpMhGzZ9F6z0XrdQpNSIgAiIQXwJqwce37Bol5WeRkSsR9ycbJUPKhwiIgAhEgYAEPgql0KRpoPX+JrI+EftNkyJQtkVABESgagTURV81tAp4IAKI+zT2fxQ7ndZ7YaBjtU8EREAERGDoBNSCHzoznTFCAoh7kiDOxX6FuD8/wuB0ugiIgAiIQB8EJPB9QJFX1Ql8gBg2IO5/qnpMikAEREAEmpRA5LroPc+zNI31fX9dk5ZJQ2eb1vveZPDN2IcbOqPKnAiIgAjUmUAkWvCIegb7JvYCPGwWs7Wsd2APYR+sMyNFXyECiPtogvoy9h1a76rAVYirghEBERCBvghEpQX/QxJng65sVPUzWAc2DpuNXYTIt9Ki/wnrcvEm8GmSfxviflu8s6HUi4AIiED0CUSiBQ+m12KnIuIPYJswc+uxRfjb18XehsnFmACt9zeS/N2wH8c4G0q6CIiACMSGQFQE/iGIHd0PNXteu7qfffKOAQHEfSeSeSp2Hq13fUgmBmWmJIqACMSfQFS66L8Kyt/RFX8my6exDdh4bC/M0mitP7kYEkDcMyT7POwniPvzMcyCkiwCIiACsSQQCYGnK/5exP0ACM7B2jF7Hm+tdnvuvtD661nKxZOAfQL2SUrwH/FMvlItAiIgAvEkEAmBN3RoeBeL6xF6S5NekzMoMXe03u2xyz7YKTHPipIvAiIgArEjEIln8Ii6XpOL3aUzcIJLz91t1Pz5tN67Bz5ae0VABERABCpNICoteL0mV+mSrWN4iPsoor8A+xHibq89yomACIiACNSYQCRa8ORZr8nVuOCrHN0XCf8exP2aKsej4EVABERABPohEJUWfPia3O/7SOegX5Ojq99ex5rVRxjmNR1r6WefvCtEgNb7uwhqKvb1CgWpYERABERABIZBICoCX6nX5PaEwVH9cNgO/6X97JN3BQgg7jag7kSMSYtcvgJBKggREAEREIFhEoiEwFfqNTnC+ScczLZxtO5NeCZus0MeFSGAuFur/XzsAsR9TUUCVSAiIAIiIALDJhAJgbfUh6/JDTsnOrFuBBB3e/TxTew3iPs9dUuIIhYBERABEdhCICqD7LYkSCuxJPAlUv0Y4v7HWKZeiRYBERCBBiQQiRY83eefhW16AL6Ih3/lAPu1q04EaL2/n6i3xzSork5loGhFQAREoC8CkRB4EtaOfQr7FWafiu3t9LGZ3kQisI2429TC9pbDxzSoLgIFoiSIgAiIQBmBSAg8rfPTaMXb44IE658sS59WI0oAcbc3Fux9988i7usimkwlSwREQASalkCUnsF/gVIYh9C3NW1pxCTjiPs0kmqD6r6FuD8Vk2QrmSIgAiLQVAQi0YI34rTcN7H4f01FP4aZRdzHkOzvYL9G3G+LYRaUZBEQARFoCgJRasFvBZyW/M+wcVt5aqOuBBD3JAmwwXS3I+4a9FjX0lDkIiACIjAwgcgKPMk+CWsdOPnaW2MC9sz9BezHNY5X0YmACIiACAyRQJQFfohZ0eHVJEDr/TTCn4z9B613v5pxKWwREAEREIGRE4jMM/g+smKvzHX14S+vGhNA3G1sxH7YGYh7tsbRKzoREAEREIFhEIiswDPo7tRh5EenVJgA4v4mgjT7FOLe1xwFFY5RwYmACIiACFSCQGQFvhKZUxgjI4C425f5TsZOR9zXjiw0nS0CIiACIlBLAhL4WtKOUVyI+1yS+2nsM4j78hglXUkVAREQARGAgARel8E2BBD3w/G07wN8HnF/dpsD5CECIiACIhB5AhL4yBdRbROIuM8jxq9in0DcNUtdbfErNhEQARGoGAEJfMVQxj8gxP0wcmET2bwDcV8T/xwpByIgAiLQvAQk8M1b9lvlHHG3L8PZ9wDsy3AS963oaEMEREAE4kdAAh+/Mqt4ikvd8mcQ8FmI+xMVj0ABioAIiIAI1JyABL7myKMVIeI+nxTZLHWfQ9yfiVbqlBoREAEREIHhEpDAD5dcA5yHuL+TbLwLOxNxf74BsqQsiIAIiIAIlAhI4Jv0UkDcTyHrR2CnIe6rmhSDsi0CIiACDUtAAt+wRdt3xhB2jz02mG4HzKaf3dj3kfIVAREQARGIMwEJfJxLb4hpR9xHc8onsPGYdcvrwzFDZKjDRUAERCAuBPS52LiU1AjTibhPIwj7jruJ+jkS9xEC1ekiIAIiEHECasFHvIAqkTzEfW/C+Rr2K4T9z5UIU2GIgAiIgAhEm4AEPtrlM+LUIe7HE4h1y1+AuN894gAVgAiIgAiIQCwISOBjUUxDTyTCbmVr77fvj52BuOs1uKFj1BkiIAIiEFsCegYf26LrP+GI+3bs/RE2AbOpZyXu/ePSHhEQARFoSAJqwTdYsSLuB5OlL2L/g7D/b4NlT9kRARH4/+2dCYxdVRnHZwRs2XexZSkUBAQVUKEBDGoqIApo2rIqtJYQtAWMqaAYTctmFDSKIAohKtQCJqBgKFALSCjKEiqLQhUKtdAi0CLI1hZKx9/XvlfeDM3MvW/eTM+Z+zvJf85dvnPud3/nvvnfe96bNxKQQEECGnxBUKmH1abkTybPT6MpmPvfU8/Z/CQgAQlIoO8IaPB9x7bfesbct+VgZ6Nn0XjM/bV+O7gHkoAEJCCBJAlo8EkOS/GkMPcvEj0WXYGxTy/e0kgJSEACEhjIBDT4TEcXYx9C6vGVszGGp2Puz2R6KqYtAQlIQAJ9QECD7wOofdklxh7fJX8kGo+mousx9w5qiwQkIAEJSGA1AQ1+NYr0FzD3XcnyGyi+bnYCxr4w/azNUAISkIAE1gYBDX5tUC95TIx9fZqcgg5Cl2HsM0p2YbgEJCABCVSMgAaf8IBj7PFFRIejE9GsqDF3PyEPCIsEJCABCXRPQIPvns9a24u578/Bv4oWo29j7HPXWjIeWAISkIAEsiOgwSc2ZBh7/Oe3cSi+bvZSjP0+aosEJCABCUigFAENvhSuvgvG2Peg9/hkfHxpzZXoT5j7CmqLBCQgAQlIoDQBDb40stY2wNg/Ro9Ho2HoKjQDY3+b2iIBCUhAAhJomoAG3zS65hti6vHhuZHoGLQOuhbdprFDwSIBCUhAAi0hoMG3BGOxTjD2rYiMT8UfhhagyzH1+6ktEpCABCQggZYS0OBbivPdndWe1mMa/gvoI+g2dCbGPp/aIgEJSEACEugTAhp8n2Bta8PYd6Hrz6KYio+n9VvReRj7UmqLBCQgAQlIoE8JaPAtxIup70Z38W1zofjO+Hhan4ipx79xtUhAAhKQgAT6jUAlDb69vX0ohL/c0dFxAcsHsrwPeor1m8uQx9AH19ruRz0CLUd3oXMx9cepLRKQgAQkIIG1QqCSBg/p+PT61jXiYe7xZTI9fgUshh6feN8d7YWi3Z5oDooPyp3l++pQsEhAAhKQQBIE4s+1Kld4Uv8JJ/1W7cRHUcen20+ora+xwtzHsOMmdDraDP0ejcbUJ6Hfae7QsEhAAhKQQDIEqvoE3zgAM1mJ/84WH4jrrsxm580Y+RvdBblPAhKQgAQkkAKBKhv87bUBmEY9EV3a3YBg7PO62+8+CUhAAhKQQEoEKmvwTNOvNHjqpxmQi1MaFHORgAQkIAEJ9JZAJd+D7y0020tAAhKQgARSJ6DBpz5C5icBCUhAAhJogoAG3wQ0m0hAAhKQgARSJ6DBpz5C5icBCUhAAhJogoAG3wQ0m0hAAhKQgARSJ6DBpz5C5icBCUhAAhJogoAG3wQ0m0hAAhKQgARSJ6DBpz5C5icBCUhAAhJogoAG3wQ0m0hAAhKQgARSJ6DBpz5C5icBCUhAAhJogkA7X9XaRLP8mvB/3/cm6+nowfyyb9uOnHdGyzLMPcWUNySp11NMLMOcBpPz8poyTD+plOOBaxBaklRW+SYTr/P6/xxZm2cxnIMfjNcu7O8kKmPw/Q22lcfj5uRQ+tuHC+QHrey3qn3B805Yfqqq59/K84blOfQ3E56zWtlvFfuC5Y6c92RYfqWK59/qc4ZnmHsY64pW951Lf07R5zJS5ikBCUhAAhIoQUCDLwHLUAlIQAISkEAuBDT4XEbKPCUgAQlIQAIlCGjwJWAZKgEJSEACEsiFgAafy0iZpwQkIAEJSKAEAQ2+BCxDJSABCUhAArkQ8M/kMhgp/txjfdIcxJ97vJxBusmnCM8hsPxP8olmkCAsNyfNJfBcmkG6SacIy3VJcHNYLko60UyS83Xe1qbBZ3KxmqYEJCABCUigDAGn6MvQMlYCEpCABCSQCQENPpOBMk0JSEACEpBAGQIafBlaxkpAAhKQgAQyIaDBZzJQpikBCUhAAhIoQ0CDL0PLWAlIQAISkEAmBDT4TAbKNCUgAQlIQAJlCGjwZWgZKwEJSEACEsiEgAafyUCZpgQkMDAJ8IUs6w3MM+v/s4ovC0Lt/X/kNI+owac5Lu/Kimv2cnTZu3a4oTAB+I1AD6BH0U3og4UbG9iJAOy2Q1PRQ+gW9MlOAa4UIgC34wi8pzGYbZ9Cd6N56A8ovi3Q0gMBOG1PyHw0vB7Ktj3QNehhdDs6pr6vCrUGn8Eoc1F+njRHZ5BqsinCcBDJXY1O5atA96T+LToXWZojMJlmj8Fyb+rvoV/BOL5q1VKAAKw2R5cQehFa/cTJtq1Yj+t0AtoVzUM/RpZuCMDtJHb/GW3dJeynrN/CdboX9QnoZ8Ru0yVmwK5q8IkPLRfjlqT4XXRx4qmmnt7nSHAuL/R7Ybop9bVoTOpJJ5xf/CJ9s5bfq9TvR+vU1q16JjCSkDfQ2C6hH2d9DtfmI+gtluN1P6pLjKsNBHg9v5fVo1G8xlf/vw62h79diq5BbfB8liqu1Y/GehWKBp/+KP+CFKeg19JPNekMh5Hdf3nR30W9iPpJFE/yluYIxE3nyTC8jnommsAv0GXNdVW9VrC6Dp3JmS/pcvY7sN74j5CeZ31TOMcMlGUNBOD4JjoUPd64m/UV6AYUN0ptMIybqni7455Yr0LR4BMeZS7I40kv/lPXjITTzCW1eOKMu/xfoi3RrehbyNIcgQNpFlPLc9BCFO8bO0UPiF6WuDZfb+ijfgOwQcM2F0sS4NqMtzumoniLbvVTfslusgvX4BMdMi7IeKHH+0d3sHw4dXwgbBjL+1NbyhOIF/WjvLivRjFN90N0JDxjes9SggDMwsgvQMfCMt5/D7M/BH0CWXpHYDHNN2noYmOWl8L5pYZtLpYgwPW6O+F3onPguHK6vkTzrEO94053+DYjtbnolFqKQ6kHo/igSGWmmGrn3opqAZ2EsddLTNutj7zJrRMpXsc0Z7zf/nA04ZfmCn6JzmZxJ3QnsjRPIK7THRuax/IzDesuliDAdTmc8NvQ+VynMXtXqeIvt0SHm4vxSXRAXaR5CbqR9QmJppx6WjeR4G684PerJTqe+l54Lk098dTyg9kicoqbzKMiN5iGscfT+w2xbukVgTtoPRymI9Eglieh63vVY7Ubx7T8NBR/KrdFTZWZtfMJvtoXf2XOHlN6lRd3mPqN1PEe53J0WGUAtP5Ev0OXU2AZdZQzYOw08ioWTf+E4TKYnkoHcbP0P/Q4mogsJQnAcV+aHFBTfKCxXsaxcGV9ZSDX7VxQA/n8PDcJdCLAi76dDVtx3cdTqKWXBMC5CSxf6WU3Nu9CAK7x8LUxbL1p6sLG1eIENPjirIyUgAQkIAEJZEPA9+CzGSoTlYAEJCABCRQnoMEXZ2WkBCQgAQlIIBsCGnw2Q2WiEpCABCQggeIENPjirIyUgAQkIAEJZENAg89mqExUAhKQgAQkUJyABl+clZESkIAEJCCBbAho8NkMlYlKQAISkIAEihPQ4IuzMlICEpCABCSQDQENPpuhMlEJSEACEpBAcQIafHFWRkpAAhKQgASyIaDBZzNUJioBCUhAAhIoTkCDL87KSAlIQAISkEA2BDT4bIbKRCUgAQlIQALFCWjwxVkZKQEJSEACEsiGgAafzVCZqAQkIAEJSKA4AQ2+OCsjJSABCUhAAtkQ0OCzGSoTlYAEJCABCRQnoMEXZ2WkBCQgAQlIIBsCGnw2Q2WiVSXQ3t6+A+pA6/QFA/q9Dx3XR33/iL7PLtI3cc+hnYvEGiMBCfRMQIPvmZEREpCABCQggewIaPDZDZkJS+AdAjzxvgdNRA+ihWgyWvm6po4n/+noRfRrdD360Dute14ifiyag15Df0P7RivqM2q6m/oFdBY6Aj2FYkZg/4bed2V9NlqELkQrZyKoI79b0GJ0EfGrfx+xvsbjNvTpogQk0AOB1S+oHuLcLQEJpElgAml9DZ2CjkJfQuNRlGloLvowegWNQoNRoYLJfoDAn6Pj0fboAXQeirI1OgtNQqNRbD8NHYJuRF9H9XI4CzFNPxIdgcaiKFPRE2gvFHlFn3Hz0N1xI8QiAQkUIKDBF4BkiAQSJhDme0VHR8f96K8s/wadgEluQ30AmsL2Z6kno7dRmfI8wSNo/yD1CvQYGoLq5Y/suw/NYsMCdBXLcUMxHY1A9XIH2yP2ETZcjcaQ3xbUB6Hz2b6Q+hxULz0dtx5nLQEJdENAg+8GjrskkAGBYeR4T0OesTwUDUf/xjxfin3UL1OF+ZYprxJ8DGb8L+p/onhSb/ydETcO9bKEhYiLsgytu3Jp1Y97G5Znsxz57YIWkFeYeeQXJh+K0tNxV0X5UwIS6JZA44u120B3SkACSRJYTFZ7NmQW0/FPoYfREMx5s9hHvRHVzrFcopxI7Bg0GgOOJ/cLUTuql6IzAtvWG1DvgZ5DT6OhDfltyPr7UJSejrsqyp8SkEC3BDT4bvG4UwJJEdgCQ2xUPCXPQMexfdPYx/JR6C8Y8hvUd6Nvsn0T6kmo8ama1U5loy59b8De6O8J+voH+8LYx6H1UNlyMM2j/7jZiFmAm+kzTD5mBervxx/Lcr3vVh2XLi0SqC4BDb66Y++Z50fgBVJ+sUHxHvv3UUyJz0NhmPNRbItyOvoMin3D0SL0JlpTuZyNjX1fwHq8X74dxhyzAY+i+JBdzAqE+ZcpkddDKN4iiPwuQ1GORqfRXzzNj0NRR2nVcVf15k8JVJRAO3fSFT11T1sCA4cAJhlP6W/xeo73wmNKPp64Y6p7GtuWsxpT4HGDsBPrURcutN2S4Jdot6Jwoy6B9BFP5xvSR3wWoFOJ/tkeNxedSiuO26lDVyRQMQIafMUG3NOtDgEMcipnG9Pys9AoNB8jPYnaIgEJVICABl+BQfYUq0kAg4+/LT8I7Y1imn1mb57CaW+RgAQyIqDBZzRYpioBCUhAAhIoSsAP2RUlZZwEJCABCUggIwIafEaDZaoSkIAEJCCBogQ0+KKkjJOABCQgAQlkRECDz2iwTFUCEpCABCRQlIAGX5SUcRKQgAQkIIGMCGjwGQ2WqUpAAhKQgASKEtDgi5IyTgISkIAEJJARAQ0+o8EyVQlIQAISkEBRAhp8UVLGSUACEpCABDIioMFnNFimKgEJSEACEihKQIMvSso4CUhAAhKQQEYENPiMBstUJSABCUhAAkUJaPBFSRknAQlIQAISyIiABp/RYJmqBCQgAQlIoCiB/wP+F5bHOfZ/zwAAAABJRU5ErkJggg==" alt="plot of chunk unnamed-chunk-12"/> </p>
<pre><code class="r">cv.ridge = cv.glmnet(x, y, alpha = 0)
plot(cv.ridge)
</code></pre>
<p><img 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" alt="plot of chunk unnamed-chunk-12"/> </p>
<p>Now we fit a lasso model; for this we use the default <code>alpha=1</code></p>
<pre><code class="r">fit.lasso = glmnet(x, y)
plot(fit.lasso, xvar = "lambda", label = TRUE)
</code></pre>
<p><img 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" alt="plot of chunk unnamed-chunk-13"/> </p>
<pre><code class="r">cv.lasso = cv.glmnet(x, y)
plot(cv.lasso)
</code></pre>
<p><img 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" alt="plot of chunk unnamed-chunk-13"/> </p>
<pre><code class="r">coef(cv.lasso)
</code></pre>
<pre><code>## 21 x 1 sparse Matrix of class "dgCMatrix"
## 1
## (Intercept) 127.95695
## AtBat .
## Hits 1.42343
## HmRun .
## Runs .
## RBI .
## Walks 1.58214
## Years .
## CAtBat .
## CHits .
## CHmRun .
## CRuns 0.16028
## CRBI 0.33668
## CWalks .
## LeagueA .
## LeagueN .
## DivisionW -8.06171
## PutOuts 0.08394
## Assists .
## Errors .
## NewLeagueN .
</code></pre>
<p>Suppose we want to use our earlier train/validation division to select the <code>lambda</code> for the lasso.
This is easy to do.</p>
<pre><code class="r">lasso.tr = glmnet(x[train, ], y[train])
lasso.tr
</code></pre>
<pre><code>##
## Call: glmnet(x = x[train, ], y = y[train])
##
## Df %Dev Lambda
## [1,] 0 0.0000 246.0000
## [2,] 1 0.0501 225.0000
## [3,] 1 0.0917 205.0000
## [4,] 2 0.1380 186.0000
## [5,] 2 0.1800 170.0000
## [6,] 3 0.2160 155.0000
## [7,] 3 0.2470 141.0000
## [8,] 3 0.2730 128.0000
## [9,] 4 0.3000 117.0000
## [10,] 4 0.3240 107.0000
## [11,] 4 0.3430 97.2000
## [12,] 4 0.3590 88.6000
## [13,] 5 0.3740 80.7000
## [14,] 5 0.3890 73.5000
## [15,] 5 0.4020 67.0000
## [16,] 5 0.4130 61.0000
## [17,] 5 0.4210 55.6000
## [18,] 5 0.4290 50.7000
## [19,] 5 0.4350 46.2000
## [20,] 5 0.4400 42.1000
## [21,] 5 0.4440 38.3000
## [22,] 5 0.4480 34.9000
## [23,] 6 0.4510 31.8000
## [24,] 7 0.4550 29.0000
## [25,] 7 0.4580 26.4000
## [26,] 7 0.4600 24.1000
## [27,] 8 0.4620 21.9000
## [28,] 8 0.4640 20.0000
## [29,] 8 0.4650 18.2000
## [30,] 8 0.4660 16.6000
## [31,] 8 0.4670 15.1000
## [32,] 8 0.4680 13.8000
## [33,] 9 0.4710 12.6000
## [34,] 9 0.4740 11.4000
## [35,] 9 0.4760 10.4000
## [36,] 10 0.4810 9.5000
## [37,] 9 0.4850 8.6500
## [38,] 10 0.4880 7.8800
## [39,] 10 0.4940 7.1800
## [40,] 11 0.4990 6.5400
## [41,] 12 0.5050 5.9600
## [42,] 12 0.5100 5.4300
## [43,] 13 0.5150 4.9500
## [44,] 13 0.5180 4.5100
## [45,] 13 0.5220 4.1100
## [46,] 14 0.5240 3.7500
## [47,] 14 0.5270 3.4100
## [48,] 15 0.5290 3.1100
## [49,] 15 0.5300 2.8300
## [50,] 15 0.5320 2.5800
## [51,] 16 0.5330 2.3500
## [52,] 17 0.5340 2.1400
## [53,] 18 0.5360 1.9500
## [54,] 18 0.5380 1.7800
## [55,] 18 0.5390 1.6200
## [56,] 18 0.5400 1.4800
## [57,] 18 0.5410 1.3500
## [58,] 18 0.5420 1.2300
## [59,] 18 0.5420 1.1200
## [60,] 18 0.5430 1.0200
## [61,] 18 0.5430 0.9280
## [62,] 18 0.5440 0.8450
## [63,] 18 0.5440 0.7700
## [64,] 19 0.5440 0.7020
## [65,] 19 0.5440 0.6390
## [66,] 19 0.5450 0.5830
## [67,] 19 0.5450 0.5310
## [68,] 19 0.5450 0.4840
## [69,] 20 0.5450 0.4410
## [70,] 20 0.5450 0.4020
## [71,] 20 0.5450 0.3660
## [72,] 20 0.5450 0.3330
## [73,] 20 0.5460 0.3040
## [74,] 20 0.5460 0.2770
## [75,] 20 0.5460 0.2520
## [76,] 20 0.5460 0.2300
## [77,] 20 0.5460 0.2090
## [78,] 20 0.5460 0.1910
## [79,] 20 0.5460 0.1740
## [80,] 20 0.5460 0.1580
## [81,] 20 0.5460 0.1440
## [82,] 20 0.5460 0.1320
## [83,] 20 0.5460 0.1200
## [84,] 19 0.5460 0.1090
## [85,] 19 0.5460 0.0995
## [86,] 19 0.5460 0.0906
## [87,] 19 0.5460 0.0826
## [88,] 20 0.5460 0.0752
## [89,] 20 0.5460 0.0686
</code></pre>
<pre><code class="r">pred = predict(lasso.tr, x[-train, ])
dim(pred)
</code></pre>
<pre><code>## [1] 83 89
</code></pre>
<pre><code class="r">rmse = sqrt(apply((y[-train] - pred)^2, 2, mean))
plot(log(lasso.tr$lambda), rmse, type = "b", xlab = "Log(lambda)")
</code></pre>
<p><img src="data:image/png;base64,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" alt="plot of chunk unnamed-chunk-14"/> </p>
<pre><code class="r">lam.best = lasso.tr$lambda[order(rmse)[1]]
lam.best
</code></pre>
<pre><code>## [1] 19.99
</code></pre>
<pre><code class="r">coef(lasso.tr, s = lam.best)
</code></pre>
<pre><code>## 21 x 1 sparse Matrix of class "dgCMatrix"
## 1
## (Intercept) 107.9417
## AtBat .
## Hits 0.1591
## HmRun .
## Runs .
## RBI 1.7340
## Walks 3.4657
## Years .
## CAtBat .
## CHits .
## CHmRun .
## CRuns 0.5387
## CRBI .
## CWalks .
## LeagueA -30.0493
## LeagueN .
## DivisionW -113.8317
## PutOuts 0.2915
## Assists .
## Errors .
## NewLeagueN 2.0368
</code></pre>
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