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<!DOCTYPE html>
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<body>
<h1>Decision Trees</h1>
<p>We will have a look at the <code>Carseats</code> data using the <code>tree</code> package in R, as in the lab in the book.
We create a binary response variable <code>High</code> (for higg sales), and we include it in the same dataframe.</p>
<pre><code class="r">require(ISLR)
</code></pre>
<pre><code>## Loading required package: ISLR
</code></pre>
<pre><code class="r">require(tree)
</code></pre>
<pre><code>## Loading required package: tree
</code></pre>
<pre><code class="r">attach(Carseats)
hist(Sales)
</code></pre>
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" alt="plot of chunk unnamed-chunk-1"/> </p>
<pre><code class="r">High = ifelse(Sales <= 8, "No", "Yes")
Carseats = data.frame(Carseats, High)
</code></pre>
<p>Now we fit a tree to these data, and summarize and plot it. Notice that we have to <em>exclude</em> <code>Sales</code> from the right-hand side of the formula, because the response is derived from it.</p>
<pre><code class="r">tree.carseats = tree(High ~ . - Sales, data = Carseats)
summary(tree.carseats)
</code></pre>
<pre><code>##
## Classification tree:
## tree(formula = High ~ . - Sales, data = Carseats)
## Variables actually used in tree construction:
## [1] "ShelveLoc" "Price" "Income" "CompPrice" "Population"
## [6] "Advertising" "Age" "US"
## Number of terminal nodes: 27
## Residual mean deviance: 0.458 = 171 / 373
## Misclassification error rate: 0.09 = 36 / 400
</code></pre>
<pre><code class="r">plot(tree.carseats)
text(tree.carseats, pretty = 0)
</code></pre>
<p><img 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/WyfkBQt4F2RNW5me6QOrUo25g6cv4ljLxGJPxB3oISGWVsUP4OsvTBvKfSFYn6R3bCQZcoQp5m8/XImx3PIF0DhK7xtEzi1NMgpwl10x1XY/LmkCenn9aorzL6YGFGx562ESdWWwV0U9msgBUoUgVwDHrHnbVR79esK0UVqJuxYw/7oM5C4qWcoPLJ0yw+b1Ze/8j7kx2JpOFk27LxRDIhiwjtyXmXdVx6DVGuUb/CMuU24MxqrYBn8NX69FePg+cB/TJHqhmprXoosA6HOQdyGtxUD4mK6ihX5Gg+YzB0blEdVR4Oxg4+DyK6icJWAAc/gx5eVNi9dO/yqIA+IKf31nq/byt+BepyiNfh4JsX/6Fmd4R28Nnp5dLLoQI4+Anc/K2Ww667yzkowPku9x18Dk26SgErwPnWKxT90ybf4ynnSUsbNitgBayAFbACVqDIFLCDL7IT6sOxAlbAClgBKyAF7OB9HVgBK2AFrIAVKEIF/DW5IjypPiQrUM0VeJvjn1DNNfDhWwH/KIGvAStgBYpLAT5s9XpxHZGPxgrkpoCX6HPTzbWsgBWwAlbAChS0AnbwBX163DkrYAWsgBWwArkpYAefm26uZQWsgBWwAlagoBWwgy/o0+POWQErYAWsgBXITQE7+Nx0cy0rYAWsgBWwAgWtgB18QZ8ed84KWAErYAWsQG4K2MHnpptrWQErYAWsgBUoaAXs4Av69LhzVsAKWAErYAVyU8AOPjfdXMsKWAErYAWsQEErYAdf0KfHnbMCVsAKWAErkJsCdvC56eZaVsAKWAErYAUKWgE7+II+Pe6cFbACVsAKWIHcFLCDz00317ICVsAKWAErUNAK2MEX9Olx56yAFbACVsAK5KaAHXxuurmWFbACVsAKWIGCVsAOvqBPjztnBayAFbACViA3Bezgc9PNtayAFbACVsAKFLQCdvAFfXrcOStgBayAFbACuSlgB5+bbq5lBayAFbACVqCgFbCDL+jT485ZAStgBayAFchNATv43HRzLStgBayAFbACBa2AHXxBnx53zgpYAStgBaxAbgrYweemm2tZAStgBayAFShoBezgC/r0uHNWwApYAStgBXJTwA4+N91cywpYAStgBaxAQStgB1/Qp8edswJWwApYASuQmwJ28Lnp5lpWwApYAStgBQpaATv4gj497pwVsAJWwApYgdwUsIPPTTfXsgJWwApYAStQ0ArYwRf06XHnrIAVsAJWwArkpoAdfG66uZYVsAJWwApYgYJWwA6+oE+PO2cFrIAVsAJWIDcF7OBz0821rIAVsAJWwAoUtAJ28AV9etw5K2AFrIAVsAK5KWAHn5turmUFrIAVsAJWoKAVsIMv6NPjzlkBK2AFrIAVyE0BO/jcdHMtK2AFrIAVsAIFrYAdfEGfHnfOClgBK2AFrEBuCtjB56aba1kBK2AFrIAVKGgF7OAL+vS4c1bAClgBK2AFclPADj433VzLClgBK2AFrEBBK2AHX9Cnx52zAlbAClgBK5CbAnbwuenmWlbAClgBK2AFCloBO/iCPj3unBWwAlbACliB3BSwg89NN9eyAlbAClgBK1DQCtjBF/TpceesgBWwAlbACuSmgB18brq5lhWwAlbACliBglbADr6gT487ZwWsgBWwAlYgNwXs4HPTzbWsgBWwAlbAChS0AnbwBX163DkrYAWsgBWwArkpYAefm26uZQWsgBWwAlagoBWwgy/o0+POWQErYAWsgBXITQE7+Nx0cy0rYAWsgBWwAgWtgB18QZ8ed84KWAErYAWsQG4K2MHnpptrWQErYAWsgBUoaAXs4Av69LhzVsAKWAErYAVyU8AOPjfdXMsKWAErYAWsQEErYAdf0KfHnbMCVsAKWAErkJsCdvC56eZaVsAKWAErYAUKWgE7+II+Pe6cFbACVsAKWIHcFLCDz00317ICVsAKWAErUNAK2MEX9Olx56yAFbACVsAK5KaAHXxuurmWFbACVsAKWIGCVsAOvqBPjztnBayAFbACViA3Bezgc9PNtayAFbACVsAKFLQCdvAFfXrcOStgBayAFbACuSlgB5+bbq5lBayAFbACVqCgFbCDL+jT485ZAStgBayAFchNATv43HRzLStgBayAFbACBa2AHXxBnx53zgpYAStgBaxAbgrYweemm2tZAStgBayAFShoBezgC/r0uHNWwApYAStgBXJTwA4+N91cywpYAStgBaxAQStgB1/Qp8edswJWwApYASuQmwJ28Lnp5lpWwApYAStgBQpaATv4gj497pwVsAJWwApYgdwUsIPPTTfXsgJWwApYAStQ0ArYwRf06XHnrIAVsAJWwArkpoAdfG66uZYVsAJWwApYgYJWwA6+oE+PO2cFrIAVsAJWIDcF7OBz0821rIAVsAJWwAoUtAJ28AV9etw5K2AFrIAVsAK5KWAHn5turmUFrIAVsAJWoKAVsIMv6NPjzlkBK2AFrIAVyE0BO/jcdHMtK2AFrIAVsAIFrYAdfEGfHnfOClgBK2AFrEBuCtjB56aba1kBK2AFrIAVKGgF7OAL+vS4c1bAClgBK1BZCtSoUaMW1Kis9qu6XTv4qj4D1WD/3D/NYDHMiphBOAYuTHf4pG8FI9PlVWYa+zwY3oOh8AjU1/4Ia0MP+DLiZsI66fpC+hfwU4xT0pVzmhUoRgW47k+FhaB7fSboXv8Udkp3vKTfAt3S5VV2GvttzT7GQduwL9LawYugZ8BA6BjLu4bt+L39Ssgr1NAOvlDPTHH2q/XixYsbQRMOb2+4nBtGYaoNJWGX1MR8bLO/JnAhlLj2lU77D4Mc8qbwIzwGsuNgXdg+oj3hsVDCaKM5CSq3EWwY8RChzQpUJwXeje7zxtG9/jgH/wr3R800ItxMWo806UudxP7aw9HpGiK9K+nvQYuUfN2vz9PvDoRXwgux/M7ET4Nwb3eJ5RVktMRDriB76E4VpQLcQN9zYKOgJTfbZtAL+sII0uRgH4GEkXYpjIYhoBtTs2rZlTABJsIVUOZSG1kbwL1U1eBhFfb/l9qJ2aHEP1C/YDHxXnAgdeoRDoGLSP5TEB8OO0KqbU7CIFA/1ocFlF9IaLMC1VmB1zn4RtCQ++kSuAp0395Jmu7nE0D3dGN4HqbAa6D7SektoA9oNUDPADnatEaebD94iwLPwqzUguRp9U3OeV+YkZJ/ENtPR2m1CEWwzYh8Brq3a3Fv/xEyCjWMd75Q++h+FZkC3GArcUj7wBbwKqwLGmlrqa4nyMG2Ad3cRxIcD0eAbtb3SXuHUDe56uwPuo41IOgPn0PSKLsTG5pZvwl3wUbcmHMIU02DjfViiZqlq10NBr4I6bTXgLj6dH5Ii4V6IG0MX4KW/0ZSfjfqpz5EyLJZgeJXgOt/TY7yYhig+4DtVYkfByfBJNDAWoNm2aOge1wDfKVrQK6B9MPwG2jmrOeG7nU9M0oYbZ9JwlkwEW6FN9inniUljKQFJCRWDqmTmjdVCaTfQXAYqE1t637WIOV9aAIarBxMW+8SL1jTA8xmBZaVAnp/pRsu8W6b8HpukF9J0836B/FrCXUzbaUwsoMJnyJvoLbJ+zvB76CHhG700SDTQ0DOvoSDZ1s3vK7zLrSRdNRsp9pHJDSnfQ0wPgDd2BqhL4SEkaeR/zPwBW31XpJa4u9ktu4grztlmxF/BbrAA2CzAtVFgV25/jWolfeUU5TD1QA92KvcIy9pg3Jy5Ap1b+0HHcibzLbuwx8IVyHUTHsTmAe6704kfVPKfUM8bloReBlOJm9qPCObOG3XpfwUmAD/ZFsrECuBBiAXwWy4Ai6DgnbwXqLnDNmWmQK6UTuDZrkrcxN2i+1ZN1M624DEhHNXJnXkXH8h2hJ0s42MUFwrAqnWlYS5oA/OvA17phbQNm3+RaDBw1rwT7gENNLXvsIDqA/RmnCk0lKNNp6E7konnEagd/hy8DYrUJ0U+JKD1X3eCXSf6rM3HxIGS3evtyHzd8qNUCFCWT+ia2oT3oVwr69HfAdINT0r5NhHcZ/fDWoza2O/8+EmKmr1b1eFbOvVnQYOM2ARaRqAdGYfLQgL1uzgC/bUFGXHhnFzfAOjQM4zbrpp0tl0EnXjJowbalfowIZm45fRzhqCuN6LlXK85Gk5XrSF56An9QdDDeJJY7MhG3Mo/3c4iLgc9GTii8mrRVwzdzn3Q0hK7TvJiUHAUZTtmNhY8kej/l9j245ageqgwGzuEd3nYhLIQcct3b2u+1zL3rqXE0b8RCIaDMwEzezDvb4p2w9DCSP/BziZRD0fdI/qPr+mRKFyNihbD7T6phm8Bhlavfse1idtczieeDCV0T40my9Ys4Mv2FPjjkUK9Cc8iJtLN78c5oOgB4aW4k4grSnIWT8B50Fa42bVB97+S6be4/07TSG1/T5NNY7yLiYMDxEt168LeuDUp4y+9rcycc3sN4JNFMeawk1s62t1zYkfA1qmt1kBK1COAtybU8jWkvsx3DuyTsTPBzn+d+AM0laE1YkPB93HaY22JsIFZLaF5Opf2sKxROroldxWcIKS2dfWBNuAVh80UL+LtLVAA309E/pHdYgWpmlmYrMChazA7XRON9oY0Ej+aW6qYdxkPxI/EsaCbr7v4BYo16ir2cOzqYVI1yd3tS+N+vWOfyjcGpU7l3Bt0IeCgvUlsh+cDnL2eij0gh1BfZGD15J+b7BZAStQsQJdKaJVttNgNpzPfakVtJuJ657VAFv3760kp75/J7mkUUarcG+UTK1w6zJK3MY+NVnQ8+ZY2tGAQg7/WgJNODR718DjMChoq0HnC7qD7pwVkALcXI0I9EE8LYsljfQG2iBd79nTGmUmkN8qbWZKImVrk1SnvPZSqpTapI36SqSNeaUynWAFrEC5CnD/6Jsrv6UWIl3vu38jr4TTIl0zdX3FNaN7PLXddNu0qe/wy8GXMNK1WtiMvKklMgp0wzP4Aj0x7lZJBbihZpVMWbJFepmOPV35itJo70/KiJyNNuzYc1bPFau7Atw/pZy7NCFdK3XLxNhXKeeuHZOuwcVy4dzVX8/gpUIVGgPCKexey05/VWE3in3XWkLXB+1slaOAViy+4tm3e+U071aLWQGega9yfJ0g18G6ZtVayVuae7wZ9c/hGn6AsGjMM/iqP5UaEW7ChbXcjAqrXjL3oJAU4AHdhf5cWkh9cl+WKwW09H4uz8BeVdVrruH72Pf2UFQOfsWqEtT7tQJWwApYAStgBSpPATv4ytPWLVsBK2AFrIAVqDIF7OCrTHrv2ApYAStgBaxA5SlgB1952rplK2AFrIAVsAJVpoAdfJVJ7x1bAStgBayAFag8BezgK09bt2wFrIAVsAJWoMoUsIOvMum9YytgBayAFbAClaeAHXzlaeuWrYAVsAJWwApUmQJ28FUmvXdsBayAFbACVqDyFLCDrzxt3bIVsAJWwApYgSpTwA6+yqT3jq2AFbACVsAKVJ4CdvCVp61btgJWwApYAStQZQrYwVeZ9N6xFbACVsAKWIHKU8AOvvK0dctWwApYAStgBapMATv4KpPeO7YCVsAKWAErUHkK2MFXnrZu2QpYAStgBaxAlSlgB19l0nvHVsAKWAErYAUqTwE7+MrT1i1bAStgBayAFagyBezgq0x679gKWAErYAWsQOUpYAdfedq6ZStgBayAFUCBGjVqNIaVLMayVcAOftnq7b1ZAStgBYpCARx2PzgtfjBsrwmLoZ7SCXeHUUS/g/HEv4TNlJdibUj/LaQRPwNmw1ohTSHb78AR8bTlIU6fH4D7Q1+JN4VnYDgMhKNDXj5DO/h8qum2rIAVsAJWIKEATqsOkefhlMWLF69JuCo8Di9CJlaLQvdlUrAqy3Cc7ctz0OTtR/8OTenjTWyPRpf2hH+HKynXIqXMUm/awS+1hG7AClgBK2AF0igg/1IfFigPZ/YXwb1wMs5Mzlsz8o8JGioejLQOxI+BibAn22Nh05BPeADbo+FbeBMmwTdwJwyGiXANJPwboWb92ucYGAE7wG0wBZ6GsP+6xPvADBgCnWP7LBElT7YfvEXGszCrRIFog/zmRK+Eu0M+aTWJnwC3ENdrixlosyH8GsrkK7SDz5eSbscKWAErYAWSCuCw/mCjG7yHI9Ny/tnEW5L+DiyMCvYmTAwAom0FWt7vCKq/P2jm3wNkq4Ecr5bp50bxgwmHwRlwBRwOR8GJIFsXDoNO8Dr0hzmwObSCPUG2E8yEDeEOeARKGcdxJokj4AJQuU05nlcI09n/kXgtaH/BVicyGy4GOfWZtPkvwrybHXzeJXWDVsAKWAErIAVwfHLwO4Ic4nnwI85MYcLIv43I/GgzHsi5f0f+m4T9YJsoswXhJzAJOoIc91hYByZDG+oovxdoFSDYXaRPYEOz7VrQg2218T5sB3VBzr47zAMNPLQyEF850IqDfOad8C0cTht9YTHxUkbZI0n8nWz1P246hmbQGrTPw0GzefUhr2YHn1c53ZgVsAJWoNooMJ0jbZRytA3YlnOej8OqCSvj4AbCOdCG9IPgZtLbEZZnmuEGk0NdmTr7EGrJ/wdYG8bTphzsL9H254RrguxTCHFty5nLfodJ1Anta/VADl/9lqN+F0ZGrEe4AySNenrNsAFMhVH06W7QcZUw0pqToNn9u8T1jn0jWJv49oQzQL73JtrT8vxrxLXPvSCvZgefVzndmBWwAlag2igwmiOVo43bOmyMw2nJWR4I70HSSH6VjaEgJ5mpaXl7CtwHaleOW0vb+sT+36EDcX0CX+EYkCn+YyK25M/CWDxdVE73T+hAH9cQxDV7fxhKGHk/wMkkah8aIOi9/zUlCq2wQhO2NRA5BS6H3WFz0KrCz7AIwiCDaKIdDV7yanbweZXTjVkBK2AFqo0CAzjSY3Buu0It2Jnta+ENkL0D7Ui/CvQ9eM3oDyZN77g/AS1570qgGXRFJmcoh9kQtgbN2sdCL5DTHwxtYRhtavlby94fQ6ammbkcr76etyKsTnw4qK9pDSc/ES4gU/sdGC9Euj4hv0OAvHvgZbZPh/nE+8AZIA3aE+iYEpooLV9mB58vJd2OFbACVqAaKYCjepvDvRaeBL23fhnGwyWg9+8zCXaBf4Bm2HPhdjiQvKmEsmdBy+OZ2GkU0oxZy+xaPagH+kR6X9gPhkXxEYTj4CbIxr6hsD6cp1UAOdtb6afSyjXKTIMwqCm3bCxTA4M9cO7fE34Ap9GGtMur1aDRvDboxrJTgBOskWh7zkO44LNrwKWtQBUrwDXchS5cyjW8ZRV3xbuvIgW4BvTBsalcA5oJlzLyVyKxAfly9CWMvM9IuI+8XiUyytmgjt79/0GdBcRXJf4r8cVR+p9ENQjI2Kin5f+61DuBuI7lN7WXcQM5FmRfzamq9/Bass+7ZbI0kvedukErYAWsgBUoHgVwUHonXqaRL4ebldMtszEyaG9WyCeu9/MJi6eHtGxD2ij3WLJtr7zy7KtSJ3Z28OWp7zwrYAWsgBXIWgFmpqdS6Qio6MNtalvvsM+jzjHayMC65OIYaV8fdtsT0q0yqA8UqaHPDaTaiiR8yD6vTs0o9G07+EI/Q+6fFbACVmD5U+AiuvwYJGfa5RzCa+XkpWbpPfxJcEtqRgbb51BGX7nLdiWhLnUuBjt4RLBZAStgBaxA9VZATlTff38jnzIww/7bUrQ3j7qv06ch2bTBPjW7PzObOoVSVksPNitgBayAFbACVqDIFLCDL7IT6sOxAlbAClgBKyAF7OB9HVgBK2AFrIAVKEIF7OCL8KT6kKyAFbACVsAK2MH7GrACVsAKWIGCUEDfU8P03+lseVDADj4PIroJK2AFrEAhKoCzbAb6D2+zImYQjoEL0/WX9K1Av2y2zI39yh89B/qKXdJIvwy+Af0L2eQvt7G9AfSC70C/2ub/pJhUbUnEDj5FEG9aAStgBYpQgdZ8PawR6FfO9obLcYgKU20oCbukJuZjm/01gQuhlN8hbSv28T7sHt8X6Yezrf8z3wm2B/0ITDuQ9YBvQD/Wchb0pbz+ba0tUqCU0FbGClgBK2AFilcBnLx+4GQUtMQhbgaaBcs56kda9BOpj0DCSLsURsMQ6KpEQtmVMAEmwhVQY0mN0n/J0kz7XnI0eFiF/af7T3LHkXcXPA1x0/fen6DOTJhM/GfYhPaaEe4BD5Au+5b4WCgxQGC7Wpv/k121Pv0+eCtgBaqTAjhG/ejLPrAFvArrwtHQDXqCfmAlsQxO2SOJHw/6l7Oz4H3S9K9cO4Pq7A/yIRoQ9IfPIW7tKa+Z9UYg570RjnhOvECIk3624pTfJaRF4VqEr8TSFhBfGfT77UL5w6lXk1Aze83wbZECdvC+FKyAFbACxa/ATzhBOe/60aFej1P9lTQ5eP0q27VKZ1tL5cEOJvIUeQOVQN7fCfQf6jTbllMfDbKHQc4+1cEfQJoGC4fSxheEuVhzKs2NVVxEvB7t/UV/XiT+EOFthNrXn5DJ/76nWPUwO/jqcZ59lFbAClRvBfbl8GeDHPQ4HKRmwsEmhEhKuAHbD4W04KRxqC1JuwjODXmEX8XiIXoHETn4F6nzHWF32ng7ZGYY6udlG8XKymdpNUF2OfwbzoAXQK+cx0FZ1pb9a5CTlVHlR/rfOqtKBVLYDr5AToS7YQWsQOYK8MCtQekVefhqRmerWIFhaDWzjGJlaTid8nLyb6oeku9KIIer2fgHtPdfQqWvTKAl8lTTysBt5N9Dhmb9PYlriX5L0jN1tBp8rA3B6hH5JdrQ6sOZNJXoP22fwnb3KK9UkMU+81q3VGPLMMEfsluGYntXVqAiBXhIrQhaTtX70TKN/E6QbtZUZp3yMmhrb9hNZQhvgW4VlNesZrPyylRWHvvVc+s50CwyYaTVhNthMOid7HkhLzUk7wuQxgE5BltpBfRe/SB0aggrEX8Q5JhfhhNIawoaaD0BZeqNY10AGgxsCJpxZ2M6z8ezmzVhHeJrgD5QJ7sZDlWEPK1Q6MdkhmnbtkSBau/guTBuBX24pGiM49kawsMrhPrE7IkwPg1acrMVhgJysgNBnxReludFTi7sTw9OfQWpPNuJzOHlFcg1j+PO+utU7EvLtPrA1VbQEfR1rO0ISxhpzUnQzE8f/JLDEQ+BrbQCt5Ok5fAxIMf5NI5aYV+YDGNhFGj2fguUa9RdBM9CprN3tdcPBoGc+qfwM0wE2XVwNed0aBQ/kfBUtmeDroWksf0O6MOCJYy0x+ADSPpCxaO0O0sUXg43kge1HPa9Wnc5uggPJNTDLNW2JuFtCA8whZPgMdggRh/i+knHcMOwaatiBY5l/zovz8DxkDTO9SEwFMaSeLAyiK8M+gpTE23LiGspVGVlab/ORPp7oK9A/QK3UW1P0Mz9aMKucAKorWPgJ5gKz0NTpWO6ltqy3YHwdNAAUmW+hk3ZVl3Zf2ASaNZ8I1yovHRG3tJ8nep+2jyea/kvQlEH5HhSbXMS5DA081wfNLtcSFiUxrFNgxowM90Bkv4ZbBzyiA8CPSNWIJwDBxJtC/oE/JVR+jzihxBfEzYjvj/o3f5SG+2cAf8ODRGXnci2lunXgdGQMNI/gU3Y6ETYEcLMXq+e71tSqsK/+hyBroNLYiX1bn9VuDSWtlxGV1wue11JneYBcxFcAO/DDHgatDSlh1Vj0ANuCrwGelAoXQ82rQLoIab/trRblN6B+KOgh60efG+CHogDQLPo81Qush3Y1kNa++wDq4SM1JC8RqCLcgQcB3onlmrq2+egi7QFF75uSNlCUHwe6Sqjm/dksBWAApzXBnRjH3gV5OBPJE2OSNeZHrIPwFWgTyzvDomHMIEGb0pTufoER8EHcAzIYSvvINAMZhuQrQe6VuXMNVMbANfD86DrZhXaqkfYEw6AdUH9OxVk6o/yRSdYBHrYapZ1E8jOhM6g/dwMuuZbQAljPztBXxLfhB9AziTtw5X0s0F9LGGkzQfN3P5JxofwOqgvqabrfmP4Ej6BgdRpQmgrQwF0nQUL0mSfQtrd6PdwKqSvAeempse2G6dpr8ykqA/zKRAGcMmy5M1IbiyJvEGwGvvSfVDKSE8+s8kcALrGryNdq2YanF4Bx9FuYtBC2s5Q6vlMWjv4DHTdfQXbU6+gbMWC6k3Vd0YPHz1Y9DDaDLTc1wVkj4JOuC4AXUD3guwp0LJfR7gHXuZEa2SrB58esGNhS1gNPoMbQA9czazqEuoB/iT0gI1AI+3LoIRRdnW4k8RRsAHsxwV4CGj5LNX0ENNM6S0YS71bUguwrf5fTf1pafKcVDUKHMpu9eGl2TCE+J8g5yjbE74l/SUYSvwRJUb2NKHqyvQu8lPKaOCnAaDKjYaR8DAkBgKEsjso9xqMJ659zSWuh2iwxUT0jFAfdK0eRP7NhKmm+2IyeT8TPgPrgOxwuJ/0EdCH+PtKTGNnkabBQRfK3Q5z0pTJNEl9Hg5bg+6nVJtMgo57Q8LWMA/CPU7UlokCPFM6Ue56kONPhwZhY8rIa0q6rtmsjfO2D+hZWZ4tIvNU0Af8VklTMPWZfTFl+sK/4Va4jX18TqgBcwuCVyHd8/km0l+BVUH3mZ6phWUciGYB1RbOhk5oT2mAdQf9Z6SEHsR1wq6BOqAH4IZROTnlvWEtUMWWsTqD2T4DOoIemKEt7eeV2LYeuCojh/4FNIrQzOq7UC6EpB0GWkrUw7BmSE8Xkq9+a9mKIPEPLeYRaiYf+tKBbb1bqx/SHFb9PcD56A9TQYM4MRv03pMg8YDRgyecw+1J+yrK07UzHVaGZ+D4KH0E8d9AjjfwepQnp94h1p4c8DFRngaE3aL4fsQ12NC19zZsEKX/SFyDYF3DEyH0RY5VDp1ghQmwleLRthzCLWE7hKSp3+eDymsfe4a8skLK6Bq/tJz8+8n/v7LyQzpl/gX9w7bDzO4DNJOD/z4XvajXDV7OpW5FdWhXz97nVQ7TNaL/gqf4O3AEtAIlpD6z5eSnwNdQJ+yH+CnwKZR6PpOme603aEKlgXDtUK9QQnXKVlIBneRgc4nUgjbwOydND0w9rGT9iLaG8cT1gAv2GRHN4GWTlgSJv3KyifpRmka9NSM00xgZ8SFhE0aOLQmTxj5eYOMA6AKjyD8T6icLxCKU1XsstaO+asDxMRyi7ciOInyOPPXJVgAKcC714NkeNFM/KEKz8oPJa0b4E7SHYLomE8Z51GDtXTgQdocXQaaB42XkryGIrw9HQjDNdMo09qvngxy3HLnQfvTQzNQGUlAPv2Bqo5TRvt713kZGW3gO9FpLn4bXQDojo6heZ2wbK/wtcR1vCaPMUdAxlrgS8V9j244WjwJXcCh7cL73iR3S2sTTPbMbk65BgAYHejYH032pCVG65/P5pNcGXeffgZ7NBWV28KVPR2K4l5I8ne2GXCh6SCaM+IlE5CD19Y0mS1ITfzfh75hou9wHaFTmT8IvuKgSD2GFbG8F8cFBoih5faETG8fCvjCOfe+QyIz+sF0PrlEYS69PPP4QkwPR6NNWOApo0PU251cO9duIt0iTozoG3oftOK9676dzm/ow0fm8Hj6irlaFZC/DCZRvCnKWT8B5kM7mkhi/jlVGy5vDqNpK/SH+hhKzsL6UPZ76rWFn4ruUV5d9LM3XqbTKdj37qQU6Dt0jA0DLrBuB7ktZU7iJ7drQnLi0fQVsVagA52J/mAMlBmVs6z2+JjQNsu0e19MM6sgJ3wcNo/p6Dpb3zI6KJQM5b32YL93zWataGoSvDtrHY/RT11TBmB18BqeCkzuFYt+APlEsk5PVhaM0OfOTliQnPngn5/wZZGoaLW5F/S1UgfBogjehzHNDf/QQl4PfE2ZB0kj/g43doKsSaU+zGrUtZ6FtjTjXg6HathWMAnJIz6fpzVOkncR51bV2JXwCP4DOc9xeY2NViA/c5GAnw1gYBTVBy+/pTCs+/+H6uCpksk9d91pO/Yh0OXjlXQaZmgYU38NXoBn6x6DrvVxjv7l8neoxGv0NNJP6At6BW0F2OlyQiK2wQi/CUE46DgEts9qqUAHO+avs/iV4kmutlrpCuCnBjXAc+RqAZm3U0/2j89wxqjyaMJtndn/Kb0tf0j2fe5Gne3Ma4ZMwHzJedaJs5RudS7wfq64hCushEH8Hf0PQgvTukNgm1LvFH0EXhx62e6kctj0o7SfQA/GEKF0XVOJdZLR9Pdv6V43hfaQc7HbwC1wMc2AkfA07hHK5hKoPepjq4arVhyNCO8Q3gGlh2+Hydf1z7mpDw2zOG+U1+2lQUR3K1IOa6cqRnvwMR2o+eV0g8Q4+nkeaXhe0CWnEX4DTw3ZlhLSvY61VUduUqS8qKuf89PcH2nWCvL6Dp71moAGpltY1GNXgK/mZDeItoA9oZq68zjo/mAYED4PSp8I38fPGdjuQ8008BwnLemY/Td4V8bpR+2eQXur5TNpWoOe1BpXa70Wpdat6W9+PpF+2TBVgJLcKmmkGUMJI1+zpV/KyEpR6cvDtQRdnE6rrQsmL0bZumBm0+VdeGnQjViCNAlxncvD6wNuW8WzS92dbM7D/wrqwL+xEOQ2EbcuxApxbOfiHOJdynlkZdbUqpA94HphakbxDSHsUtNL0D9iacnLOmtFrlq9n72WwD1xJ3rqkq5yc8MGg5/DnsCV5mrmXadTL+JlNWQ040j6fyWtKnr75srDMnVVRxopVtN/ldrecxFLOXQdD+hTIyrnHRaCqliXz5tyjPmmmbuceF9rxZaYA154eyMeAZlgDYXvS7NwRwpZeAa4PzdDfgKvhWLaDc9dkRQPE7jAPeoP+94iW8f+E1qCVyx9Bq03lOnfKZPXMpr0yn8/kTYeCc+46xsS7DkVsuSvARfYvap8GFb5fTLOX+qTpn+Bk64g1onydC+uaNG06KU8KcF4OoqnrIPWdd572UBTNNOIoVkUrzZzKs3MoU15+sefpddnB3LO/F/uBLuXx6XMk7dBpcKydVsQ1gXo3lqaonPoDoOXyh6AO6MNuWi5PDA7YrrZmB5+fU38qzTwFv+anuYxaWZlSF4EdfEZy5VzoLGr2g+E5t+CKVmCJAv8h0JK23h/bslNgBMVngpb2E6uoOHG9k1daXZC2ehbuBffCt3A/VGuzg8/P6dfMXe/fe+WnuYpb4eLWO7BqP0KtWKmlLqGlt6nL8twudY/dQEEqwD3rwXiOZ4b7bwH6vUP1MwhvINT786GwO2j2fhTsDVreHwk2FCiYd/CctMY+I2UrgD4yLcuXMtL13d9qvfZZShQnWAErUGwK3MwByZGPgU/gVhz/N4SPw1wYDfo2k153akW12luVOng5Jexa0PKLfvRhJNwJdSrzzNB+M1gc8RehWAT6UZgL0+2bdH1XPaeRIfV2BF2I5Rpl9obdVIgw+ZvcxHWenoOLlBc38lqzPQ7ahnTS9I9NngP9g4ihoPdUpYz0reGnFHZhWz+yMwTeAX1CNWHElafvRI+BF0GfHlVf9QM5qT9Dqw9YlTLK6VfF4vs8pVQhJ1gBK1BtFcBp94HNUwUgbTC0I11fWV6X+C0qQ7gQ9In8DWFj4vvCbOVVd6vqJfpHOAFrgL73PY0H/0rEXwB9UvJcWBbWlH3PZN+6cAZC4veFSeuXsnMtB+2SkpaXTfbdhIZOAjniF6NGNVrVIETLT3fAxjAI4qYPN70HLeKJxO8HDSjknHcGOWB9Hznx4R7iGjDsD/oe/ttwFgR7icgTlD2CcmsS178MHUC4CDQq/ht8B7q59N7rRDgS1KasHujDVvrHDyWMdpqTsC5oULI4ylwQhQ6sgBWwAhUqwLMp7WedSNcHYYUtUiA8lJe5IDzs5ZyOhqM4MdPUAUI5oK7wprYpsyLonYuczETQv2BN9JlQs8uTQbPJEaCfXNWvB+nnXDUDbRi1oXLng2aNg0AOqpSx7+9J1AxdF09Lyp0IY0HvfmaRtis8Qlw/Kat+TIA/YTLpCQdL/APQT8cqT/1V/bXJTxrb9eE+UL5+HvYHMoeB2t8TUn+T+zjSngDN0i+jfPhJWg3OdIwaeOhrIl+S9zVsSlzHqH/eIxtAfALoJzkbgQZOI0DtrgVyxnqfpWPQzdETngadj0kEs2FL0KhZP4KjfyKh/d0Nh4DK/QHzBJuXw8fEn1Feim3O9iCoAeuD/jWp3nHbrIAVsAJWIM8KVJmD5zi2gvE84Et8r5xt/exkwsGTfzqcBlrGPRz0/uVEkGkmeBh0gtehP8wBOZFWIGcpi5frxracpRxa0nB6K8E/SZAj0+xSn3K9K4rLkenrGtdCG5AjvBQ0A1UdfYpTjrI5dICDYX84CFpCR4jbOWzo2DULng1y0pqty1kOgOvheVAf9U91zibUDLke3Av3wMvQGKTdAaC+7AOfQg+oS73EoIm4bDpcAKNgA9iPfO1P2lwIb8FYuJn0l0AOXAOs3QmagtrVMf4MwX4h0pgydUMCca2C6HydF9JSQp2bjeFL+AT0WqYJoc0KWAErYAXyrEBVOng5sFkVHI8c24M4nIEgh9ALjoFgd5Gu2emzUAt6sD2J8H3YDoLdT/o4eJGE8bBjyCCU85sLT4FmlnKwnWE06Bfk5Bi7gtqrCTLV+S95vQkfBc1c5RRXgj6guloN0IrErhA37Ud9bAcawHwBek0wn1BtzI3iRBNOVoMV9edzmEXeA4Q/RGkECQ21/19Bs+Y2oOOJWwM2NODpBmfSxqgocxBhV7bVly3hLBxuC+VFzvpxoio/g7A5xNvVscnqLwkSf4/m7yuUlz7pbDKJd5C/IaEGUup3F7BZAStgBaxAnhWoSgf/LceyHo5ETjVp2sbkAGRrg2aPwRRfM2wQylHK5Gwm4Tg0I5YtADn8YJ+ECOFXICcY7HgimgVvAvrf1HKC2q/6NwG0BC2HKicX2lSf9b5eJicpx6/BisKuIOcu5PzaQ9wWsSE0c9UAYRfQcnVZpr6Mh7hz/YztVaIKU6JQQSjTKJamqHS5AeRM9cG7xE/NclxnwIek6RgHE3wMh0T6DyB+PelPE8q0WhBvtyHbWpqPO/OjSOsFaY2yT0J3ZRJOI3gM7OAliM0KWAErkGcFqtLBywHKUe6UckyHsa335poNy6loSTdYByI/hg3ChbF4edG4A5Uj/ylW+GWczWswHDQwkGm/64AcsWazaxA0Bs2wg20QRdTeX9AK5oNWFVRe20o/H+J2HxtyyuvByjAU/s4+5GDTmWbmGtTUiWVqnz9H21qej5v2+Tvtaf/B1iHyIv3qRHgs7AvjKPMg1CMerD4RXRP94UbKq6/BNNhZJ2xEcQ08EkY7OjfS6O0lKaX/UuYo6BjL0TnW8dmsgBVYvhSYSncH5dhlPfu/zrGuq2WhQJU5eJyHnKXe/z7OQ38z9Zlwe4Lr4RryNSvvB/o0t971NiN+OGiWma2pjdqwKRU3As2AyzPtd3OoSx1pdDKMBjlPmRxTF/JaEmpAIicpRzsZjiZd762VXhtOgLhpqfsjjk9OflVoA/fDv0EzcM3s46b9joH2SqRt9Wsr+FbbZdhzpF9M2VpwKHH1e3hUVqsQcvJ7gnTvCmp3W4ItQHlPgj6oqK8TCg0u3oW2xHeHusQvgN4QTLp+y3FpX0mjrH+LO6mGI1agOBTgPteE6IhcjoZ6j8M1udR1newUqDIHr25yknsSPAO9cQQzCR+HF+ERkN0E80EObgSMA6Vla2tQQW1odnkqaDZaptGvL8h8GOR8x4IGFhqMBFNf5GR/Aq0wyFlPhKtgbdAKwIOgZfsHIG492OjG8X5GKAep412PfT5LqOXy/5CndhJG+iIicrqatV8Cb8EZoOMpy24gY1eQXrfAabSjAZVMem/DtkbQ58CR7O97wjfhRtgOLgaN0AP6mUWdhzPhJdCgozWofDCtaEiXVDudBA0GZL1A2nwHP8AQiA8S2LRZAStgBaxAPhQomJ+Lxck0w4novWwpI0/vfv8kX7P6rIy6Y6mwP4wH/aSfHGZGRl3NdhtTR44uYaR1JyJnJye6CshhfQD3Ua4X+bWJa2aun2nVjLyUUaYGic3JV90SRlY9EnSspfpJntr9lbzFxDsRL/fnGinTgqK/lthBmg3KaXVE/S0x+05TVDN9aaLfI5+eLj+TNNqor3K0MS+T8lVZhr72Y//v0lcNlGxWIGcFuJY0KD+Ia0kDW5sVqHQFqnQGHz86Lvq0zl1lyNOnx7N27inty4GVcprxMqlxyus/JCWdezyfdH2HWx/sW5CSLuc8EdI6d5UlT1bKuUd5+uBa2n6SntVP0lK+Quce7TPjn5WlTWmSs3OP9he+M69NmxWwAgWiAIMQ/RdM/QyrVveSxnY7mAWdk4kVRCg7ALRqmjS2m4MmKDWTiY5UmgKajRW7abm53CX5TATgglyLci1gKOhf22qJPlgDIuukpIU8hcNwipr1Z2W0p5n+lmVUakd6nXL2OZN9ahncZgWsgBXISAEN3nmmnEbhZwjfYXsYoVYlnwR9NVirldmY/sHWCdR7JJtKLpsfBQpmiT4/h1N5rXCRakb+Sxl7kIOXA1+YJl8fmtONcniavHKT2Of1FDgP0s3ENQLWUvdsSGdrkLgd+/VyYDp1MkzjHHiJPkOtXKx8BbiWlpslevr6FEezIWwNV8E/YEueJ3+Qp4nHFXAqKN4TbiJPM/NjiN8IeiZqJVKO/TjYjOxfyG9OXKuXtdhexPbOxLVasAto8HAq6ZMJbXlQoDrM4PMgU6KJ6Vx4bbNtjAv4bOockm29qLw+uKZ/0hP/gF9GTbHfYRRcE+zgM1LMhayAFYgpcBbx4XApaJKxB8+hPwhlcuJHgz7bJB8iJ96fZ46eNXL2nWAsaAWxNfSCu6ELJI3ybdh4BeTg9ZzsAY/C3mDLgwIr5qENN2EFrIAVsAJFpADOXJ89OgM0G7+T7S9jh6cZuZz6aBgJD4Oc/WKQT9kN6sK3oG/dXA/b4NAPJIzbQWzo9WUv0GvUq2Avyq0aL+R47grYweeunWtaAStgBYpWAZzuCxzcItD797i1ZOMikHMXim9B+fmEmqVrADAROsAapM8jPAt6QmMItjaRz8IG5TTj18BCK4+2PChgB58HEd2EFbACVqAaKfAFx3oZDlnOew3i64P+n4b8yVekbUYo9JmkrqBvDr1KoHr6mnEwvYtvHzaor7b0ld0xIc3h0ilgB790+rm2FbACVqC6KfAyB3wCDllfqdOH7J4AvafX/wXRp+5b4dC1PJ/61We9Z/8bBOtHpBPlNwb5opNB/w1zZijgcOkUsINfOv1c2wpYAStQ3RToywHrk+5jYRToGz234JinEHaDj3DYcvBagn8aEkb+T0SuizY1q9eM/noYCGPhcDgYbHlSQJ+AtFkBK2AFrIAVKKUATriUjyBN79T1q5MNVIHtuaEi8duJ305e2v+iSX4P8kXC2O5O2dvYKPEfQ6NsB0upQKmTt5TtuboVsAJWwApUAwXijj31cMn7NTWtrG3K6l29Plxny7MCXqLPs6BuzgpYAStgBaxAIShgB5/5WdD7pKyN0eldVNo164quYAWsgBWwAlZgKRTwEn2G4uGo9X3QnIy6i3OqyL+4pZ6+SpKLvU4lf90kF+VcxwpYAStQBArYwRfwSWRc8ECu3aPuJbnWdT0rYAWsgBVY/hXwEn3sHPJpzjNgNuiX45LG9jtwRDKBCNt5+1nFeLuOWwErYAWsgBXIhwJ28KVV1KrGfaWTS6YwQ55Oin5W8d84+02US1ib4Eko92cVKbc/zAH9B6iksX0ujILE10+SGbEIeTnXjTXjqBWwAlbAChS5AnbwpU/wGySthiM9qnRWwom3JO9WmET+DfAJPMa2tLwc5Jz1U4py+LIrYQJMhCtAP9Grf9s4BIayORWehx3ZvhGOIz/5vVK2S1hUVz/g8CR1Eq9YCDdlu8K6JRpahhv0byWoswx3udztCn1qL3eddoetgBUoaAXs4EufHn2Y7lS4jYeu/vViqul3kvWbxh3hHtgGWkP4WcVjccLpflZRv5ykZX79qlI9QjnlOaAfYNCg4Hm4h7oaMGhw0AL6wAwYAp2j9PC5ia3Y/pV07fdxyKgu5R8GtTkOKvU9Pe3vDR/Tt+EwgviLsDHxSjf2o9cqv8MsmAm/wVPQNN3OSf8R9P+zl7mxX10Xn8Z3rDR4F3Tun4CN4vmKk/YA3J+aHrbJ+wJ+inFKyHP4PwXQ506YC2mvjf+VrLwY+94a4udK8ZbxPbKtX1qbFk+Lx8m7BuJt6KdYbdVZARyK/hORWfJB9zO4Fp6XHti98EQU16fZ9RBuBcpsGTQjPhj+G6VfF9Jj9eREG0WcT9gN6oJm6Y+AnPw1MBTqhvrENctX/upwAoyO2vwH8Q/gWFBdDSZGQjZ1NUCRw5gF64V95jOkXQ1ofgD61F4AAEAASURBVAH9yhTBCvqf1Ro4jYCV87mvdG2xD52zk0Me8frwOjwY0uIh6foFq9rxNMWxfnBJanqm29TVIPpA6JhahzQ5FA0S9S8+B4V84jrn+legqykN0/nvF/KjtP1I0z8HuT+eHuKk6xzLGTQAHbuoFfIdLnnmSRMYCxoonVmZutD+GDgH0l0LujcegnCuFGq1L/FsJq5r5RuYHtJSQ/J0zeu6CG3USy3j7erl6zyD524ow7TMvgcj4n1i+WsTH89NMjGW9hnxKbAInoylK6oR+EUgBywUj/+s4pZs62a8Gq6i3fmEmpk1I9gXuoP+LWRvmES6Zv1/QmuYDm+CzuE/s6y7A3V+BP07Sf1EY2WYZotX074GQHpIye4jeimEVws7c0xapZgGL4Ecm47/ogj9T+spcBnosweaZX8O28fKadYyCDRz0SuTtMa+peN7oEGa9vEeXAq/wN9IegzaRnmdSfsYJrGtgVC8v5pRawVE/V5F5dMZeY3gXPJGwHGQ7uuOu5Oufik/bjqnXeizBkiyIaBzljDalfO+Eu5ekpL27+akDgINrNaHBbS3kNBWUgHd37pG74eT4lnovBa8DnqN9gj0hvB5G1272V4Leh7sD+muBZ2vz2FV0H05DxYTD6ZzfTvE00JeCDcjoueRzrcGc3+EDIfVVAFdQyY5Sk7O4KN760gui3EwEI6AdqCHZJOgGfEPQQ8GpbcL6VF9LZ3HZ5Ers90Y9ADXTy0SJEb00wn7h7rE5cjV3s8paJSvujfCFNAMXmF89p5p3RnUuyteN+w/HyHt/gqlZiqhbfLawEw4HlrB05CYpRJqYKPZ57bQCTR4egvWg8vhGbWDqdxskIPWQ20oHB3lvUM8oT2hnJwGU3KUp0T544mrzb/DaqABjx6QGmSo7ydAc5C+r0ALmAVHwxrwCPwnHE8ISVP9O0HO+f9g/ZBXVkiZXSA5g08tR959kDhm5WHPwd5wIZQ1g7+APA1QRsBc+AqS123qPqrrNpo8D0dEun5PfOugBXHd2zqXa0ahxN8acr0WdM1tFtqPh6TLMWv/QvvRj7eE2fvhbD8Ia8G0kB4PSdegfwEMgwmge2u3eBnHq5+vs3OPbiJd/FgJBx+lyVEoUw6+JowCPVjlNDTq1gxMo3o55FQHfxhpeqfeFFT+JbgWNErX8qoc2yHwE8QdfB22lb9KuCmJ66Gi9JWgGdSCbjAfEk4r6m+mdfel3ph43bCvpQ1pU32QHhuU1RZ558HHIZ/4eiCdpY0cd69Y3ji2g+OWEx6jPEzlXouVu5ztPlGezpvOjQYycnCq0B8STo5QD9t9Y3WDg+9C+tBY+gC27wCtSHwKjSLU3+9CuRCSpnOuYz8Laob08kLK7QJpHTzpJ8FEaKU2sCPh0Siu67AsB38UeRdH5XS9fAT/Kq8f1S0PPZqABpKJV0aEN8B9kWYa9C2CptG2yuq8bg05XQvUGwNlOfh7yesU7WsL4rp2dc9rwKiBq/ZfnoNvR/5/o3J6Tl0Nb1e3c+rjLTmI0WzQVr4Cp5GtkbEGQ7rhjwUNBOR03lKc9GGE6awviZNhLGhgoBuvxM8qsi3noYfJZZAw2tP+5KD0vfwVQTf5cNgQ/gmawelpr1nZH5C0LOq+QaWRyYp5jER90PHKCZYwjmU9qE3i2qBZS8Ko8wMRDWrWXJKSmH1G0RV+JxL6qgFNrZBBKKcbbBCRtmGDsAd0hm1Ajn0PmEE8mJx8qm1AwsBYovb3M7SCDqB+iA+hCcfSkjBptP8CGwdAF9BXHs+E+skCWUSodwrFu4H6PYFtrSjoetGH77TysBGsTXx7whJG+SdBAyBdt3Jij4H6ZPufAtKjAQxGQ12vXUEfblSarqOxaKfVNWmo60bXqCyna4F6DaGeGkg12tdzRNeU9jWY4GPQ4F+OX4OznWAPqKNzD3WJJ40634NWrGaAnlM9Qa+aNEiwVVcFuBh0QZksNeB6WRWSH4IpT0PK6YHRIF0Z0o+Hr1PzSNMo/nvQQOJHSHzQi1DO7WUYC7/BTGgYr892JnXHU65vat14O0sTp92n4O54G2w3Bj0o9aC6Et4I+cTXgL9AZeSYbojljWA7sdxPqEGOPgdBkCj3SKyclqVfivI0QNIDL+21TZ6Ov33IJy6NN4Mz4KNY+gC25Rz3h7dCukJMg5EyrwHy9FCWxr/CDvG68Th5u0CJGTzbx4EGFpuEssTXhU9ijCU+GXqGMiEk7ShIviIhfg48HfIdJs6fHOd5sHEMDdaPBw3K5oEGhgQrrAx/gmbwuV4Lc6mrwVaJa4FtOf1rFIbzQjw4+KeJh3M+iPjCaLtZKBv1b3PSjw9pxDXwnA3JNkOew/TPhGLUJe3DrxgPdHk9Jm5QjcBLORHduNCovONamrrltZtJHvuWM5IzPx4029ADpxcknCRhR5gDeriuCFdDYmmcMBsHP57ycrQaGOihqJkQQclP0af2mXzVS+fg25OuB/tGUTsaYL0NejWiwVT4VsDRxL+BCpfhKaOHb9JRp+nLLuQnHTzxNiBtdgYtrydIU+9C8pJL9MQ1o0/sh/BMUL9rg2b+X0LiXXNqO9VxGy10fWplKHVwfClpiQEe4VvQDRqBHLAuLDn4nK4F6o2BLlDqWiDtfQjX7rbEdQ2uHD83bK8FyXfwxJuCVncIEvfXLEKVqQk3w4vx+o5XH8cezrVmg7YCVoATpdlfKSNdS/MlludTCy1N3dS2st1m36NZHjyGepfD7aCnUF84AzSw1He0ryc6EKaCnOfBkK3JUQ+Gv6Af9IScjX4Np1/qs/qnGbRmcp+Qru/UK/1DwomEcg6nkq7l0HKNMl+XW6B05ukkNYAB8Sz2q1UgPfjLMtXTTPME6AU7wncgB98HeoNtiQK6Nvuhp2a5cdOM+Sa01mDpbOgFp8FroHtxAXVyvhaoP5L6wwhT7TISerBfrbRoUN+VcnNSC6Vsd2D7ZdB1oX+kdS3x/qAB9XQ4DGzVWIHEzLAaH78PfRkowIMnsbzJQ2h+6u7I0yCzMXly8lkZdbtTQW3eAHVpI/VhnVV78cJRv+Rkn4N3afsW5ZOu2ZGWbbPur+ova6O/9bVP+lvewGBZd6vg94duNejksaDPMixkU9fCFGjDtsKsrwXa0Az+IOoPUf10Rhmt1sygjAasWRv11W8t3y8X12fWB+gKWSngGXxWcrlwLgrwsClzJkKe3iku1cOINhbQhsibRf2aueR5+b9mSdeMfan6+7/WKj9Gf+3Yc5AZ3RZz7veg6t8IPyQ8BPRVxYRzV5PE834t0Kbe0eds1NdK2XJzfeZ8oK6YkQKewWckkwstKwV4mGqm9LcM97cu5TTT0cyosuxKGtaS6kuVtYMs253LM/zNLOu4eA4KcC3qcy6d4XDQ65pvQA40V7uXit1hXK4NxOq9wnXwZ2zbUStQSgE7+FKSOKEqFeCh+jz77wR6oBaCacChB2leVwiW4sD0bljvZ59cijZcNUMFuB4Ppai01mcZltb0YT2tZuW0/B7beSviL3ENnBxLc9QKlFLAS/SlJHFCFSugh+DtPLwS77yruC8Ft3scjj5IqAe8bdko0JLdfMb1uMuy2V3Fe+Ea6EapDhWXdInqroC+nmSzAlbAClgBK2AFikwBO/giO6E+HCtgBayAFbACUsAO3teBFbACVsAKWIEiVMAOvghPqg/JClgBK2AFrIAdvK8BK2AFrIAVsAJFqIAdfBGeVB+SFbACVsAKWAE7eF8DVsAKWAErYAWKUAE7+CI8qT4kK2AFrIAVsAJ28L4GrIAVsAJWwAoUoQJ28EV4Un1IVsAKWAErYAXs4H0NWAErUKkK8K9VV4I6lbqTLBsvtD7Rn1qgn3otGKM7tQumM+5ITgrYweckmytZAStQkQI4iL3hY8oNhxHEX4SNK6qXj3z28w78DrNAP/v7GzwFh0KpPpH2I2yWj32X1Qbtl9WnTaijX5hrG+pSth3MgVEwEDqGPMK1YEfSxoA0bRrLS0ZJvwZ+ivFKMrOCCHWOoMin8WJKg3dhCDwB+uGjFQhrQw/4MuJmwrQDOtK/gHifTonvw/H8KmAHn1893ZoVsAIowEP8IILH4Ex+qKUNoX7aVz+U05u8lQmXhZ3NvhtBY3Ymp9gOHodSfSJtL9BAJK/Gsa4IB0Jw0Kl90oBHA44WKTt+iO2LoT3oJ4tfAOm6CoG0HQo6Hv1U8n8gnemnbk+DDSO6qFCaPik5YeQ1hXvYuBOSKwqkrc727XAEemog9A7cAbLjQOd3+wj1+VgoYbTRnASV08Ag9EnHaaskBezgK0lYN2sFqrkCmpldjTMYLB0IZfcRvRQSv2LJA39n6APT4CWQE5EDuijiI8IpcBnsD5plfw5yJKGcZqmDQLPCG5Seztj3PNL1078/Eh9M2feIXwLXwbPwILQlXX16H/6E30k7Eogm+vR/hJpVL4JhcCSU1SftYxp1fwU5wN8g1RaSUBeGwAzQrPhS+IX4XXAIaFYvveqTroHASFgMczgO/Yzx53AseTNAWmoAEEyO+DNYH9RGHfLPJRwBZfVpd/KklfLjJl/RhX2qbzL1eYdEbEn8IvUn6tNw0neM8uLB5mwMAg0c1KcFlJcGtkpSwA6+koR1s1agmiuwNcf/VaoGPND1O+ZyRprVa8lYbApypo+CTLPZy+AC0O+x6+dRzwLNsl+Gc0CmchfCFSDHdBDtHk1YwkiTbUnieqD9yRTfDbpCT9AMX870VdgC5Pz7gmaja4LyNWjpAeqT0m+C1D6tQ9rloPBNkGPvwzGPIUyaOsTGJjAfnowy1iYMffqAuPpzFWjwUScKpYVsHZrQ8f8XaoKc+UyQbhqRtCbQTy+/D2/AFBgLG8B+9OeQ1D6RroHYC3AxUZ2PpJE2CdSnYP8i8ro2SP8CRivOfjWI0qDoNW2nmBz8xvAlfAJ69dCE0FZJCqxYSe26WStgBaqpAjy05YyawqxyJDiIvGE4hl4wgbgc2V7UXTWq8wrpn8OHbCv/MeI/EMqpbAvB3if9TRhFwtNwSMggvJP2ZhDOAc0c5Qj7QLA7qPcahFnpbmRMgnGk3UYoJ98QVL8dyFnfDu/Cz1Cbcql9aql0uBqOAQ1ayuuTZvjPQrDUPk0jQ/tfDBoI1INxoL6o3W9BpvwbYV9tYCuB9r0TnAvqk5y8Xk9Iq5wNTU+i8v5wYbyR6Lw/Q5ocfu94XhSfTKjj25BQA5B50AVslaSAHXwlCetmrUB1VYAH+AKOXU5kvVQNcALrgZyNZqufhXzqyFFOBc2WZXK0wTSb1NK0TDPeWonYkj+fxuKDiLeNbWu23Rm2Ac0U1cZqEGy8IupTlLAGoRznQG1HfZpLdCE0hMagNoQGIlrylkOfD6FP3xN/HOS4pIGOZ10IVqJP7GMP0CAkWKJPYYPwIZBj16BJzlr903Nbg6dW0AHk3D+HD6GJ+kSb38PJahueI/0oWB9Gk38m1CeetVHvFCp1A/V7QmiAdPVPg6eacGRIj4eUfxK6K41QA5fHwA5eglSS2cFXkrBu1gpUcwUGc/x/i2uAE5CD/BJ2Bjmq9pAw8uRcm8GYJSkrLIrCioLgnFVuExirSGQTcCTfwLeg5evUPuldeuhTPfLlaLXysAHI8atPcoQN4GdQe2sI4qPhWIgPRNhM2F+U6URM+bvBBrS1QyJnSRvxPkXJyUB9qgcJRxilSqs/QQ5aTlU66fMKA+Eb+CHWr63YnkT9zeF44sHk/OfBibAvjCM/9InNio3yx1HqWpBz/y7UIL0W8WdAzl1L/wtCXjyk3FHQMZamVQatYNgqSQE7+EoS1s1WrgI8KDQLzMqoUyOrCstx4Vz0yfPhXkV7x9CP46EuaKZ7JwzEAfQn7AedSN8Y9Bw6GYIjJpqx7UH9NUGO+hB4u5yayT5FZTQLT/SJ8A/4BNaBrWivPaH6JKcoR6Rl8Zakb0EoawR3QbpnaKJP5A2F6XAbzIKMDH3UFzlqrRrIpoDiE+FdWAU0yPgAVO4j0IDkX1FcfZLjvIu0tUCO90zoT9vvghz8npBxn2ijDeXvhX+CBhDNBHGZ2l4XTgR9GFB5KxNXnzaCTRTHNHi6iW19ra458WPgFbBVkgLpLs5K2pWbLWQFuOHegXTfG9ZNWcooq08Pb1YqYxkksN8j2M2n8V2Rtgt8BGOgxHeD2T4fNOMYSngP6IFXykgv8zu65C3v+izT7zDjREYjsB7gp8BkkLPTTO8MSHwwi+B6GAhj4XA4GLK18VQYDCNgFPSEtJbSpzUp9BIk+0T8W7gO9FxUfy8HzdzlWLVM/x58yLUwklD3xc20uYgw1VL7dAXlhqUWqmD7MvLlJF+Gi+Bx0CxZ7UwFOXj1dyx0ifqkclphWATq87WgwdSPsA8oP2Hkf51ln06nolYyBoD2n4D91id+LmwKWs0Iec8Sl6neBYnYCiv0IvwNdC/+AEOgN9gqSwFOsm42U8014Pp6B/TOLnEtENeN+zo8GNLiIel6QOpDRnm9dmizHzwKHVPbJk0P1XtgCgwK+cQ1o9HDRQ+Z2qAZ08PKx3aDr0APSz3Mn4SjQt0QkqYZxTTQQ0zHLmrF8pdnfVbnWORkV4s0OYF4vyh+EvE+IN2EHMpJ4bhDSFq5+oRy6ULqSvu6ZeTpnDRPl1dRGvW6ww1QBxpWVD6eT/mK+qTZvVYFzoYBoS7xmlBmf8nLuU9hH/GQ9hqHbeLSSn3qBpr5NlUeVmafyKsBZfY3tL0sQ/qTuL+W5T6r6748g+dqs5VWgBtCS5OasbRSLiP19yDxHV3Cv5H0GLSN8jqT9jFo6a4n1IvS9Z1i/dcrfS0q9Tu6KpI08huBZgI7wpagkX6q7U6C+nVcSsbWbH9Hn/Vu80/id8MhUZmTCTWrmwv1yZdzl5NPtc1JGAR6IK4P5X5HlzaWJ310n1fZd5jRSt/Znk8fShnpC0GzvpyN+jpXs7NpgPIV9WkKZWamtkmaZscV9pcyWfcpdV/ajveBuLQKfSK6eHpUpsw+qRBWYX/T7buy0ujPPFFZ7bvd/ylgB/8/LRyLFMDRyuRktcT6YpS8HuFu0BUGg5y7Pgyk2WFveBA6QGs4lfQWhK9CD9gI9GDSsmMJU324k0Qtr24AavsJHgBjCEsYaWm/o0uhtUBLqcF+IdKYdusSKk+DlMTyIWkaaGjGl2py8BvDl/AJlPkdXerLlht90K1Yv8P8POcpXJ9EC8IKsU8FIYw7sewV0JKPzQoEBfS9YTlkLdVqGU3L0uFdGtHEd1j7KkI5BbLOMBkn8og2SD+NQEvmmkF/C6+A7EaQw79AGzHbifgZcB5opp1onzAba05hzdCD/R5FdAyrwhGwB/wBcgh7g/oSNy1h6zu63TmGZsTV7y7wAARbXvUJ/df5OYmN/WHbZCIR0jXoeQYq+g5zefrEm6z0OOfqi1x2wrHq+PVaYnoG9fWMrEmdKRmU1crVp/RL11dWRvtHUuFxmJpBRd2f+he4mfRJ94AGxsdn0K6LFJkCdvBFdkKX8nDk3HvDIpjAQyEsB4Zmx4dILNyA+MCwTZ0JxCfw8DmUsAOMDHkKSdd3dCeGNOIvkHYA25rdy8nLCesBlo1pOX/TWIWGxP+g7em0PYP4y8Q12ND+HyU4HEo4ePKfVL6M+DTKPUY01cEvr/okjotjOoXIdbArx6jzlDDS5dzl8LSiJ0dTyjLUp1S9kMA+biWuVySnh7QqDDW46UtfDsxHHzg2DSAvgO5wqdokbReCbtASvoYT2V9iQEGernXV0XX6AOk3E2qgrH/mcwJh3ox9nU1jGmzbqqECuqFtViAoIKde7nd0Q8FYOI24nHzCeKC0hoPZkNP/hPYS3xtWyPZWMAlKGHl62HYi8VjQ7F/v+ncoUaj8DTmrdWJFFA+DEYWzY3kLiDeIbSei7C+T7+gur/rI4ehzC9fCHmitTzEnjPRaRDRzrwn+DnNClf/9QZ/UH4tJZpLXFO4h4U6oETJI0zX8FGgw0w70uuk/oPOgweV+oOt9e/gHafsQ2qxA3hWwg8+7pNWuwfc44i15SG0UHflFhJtBf9iW9C2UTng0wZtQ5jWH4/mI/MHwIMyCTO1dCuqHQnaHusQ1m+odVdaD9kTS9ZvkKxP/J6jP6tOy+I5ulevDcbbhcO8FHXuVf4eZ/ujHZC6A90EfwHwaVqJvOif67MTzMAVeA302Qun6DvqtoP5/A7tF6R2IPwr6cOdUeBN0LQyA8aBVoYQRT3zokw1dHx3ZliNOa+SFD32OoMBxoFWiVNudhHmg/LhtzUZZH/r8G3lPcK3PhMnEnwYNiAvO0KAWJAcuBddBd6hCBcp82FZY0wWsAArwkBpOcDnoO+T6oNz6cDfpeg+u9PC94QuJn0q6lv8rsp8pN6yiQiGfsvOJnwkvwWhoDTeC7EV4H36E72Es9ASZZlh62Mt6gR7imt3+AEMgDBKI5mb0rcr1oec6Tq1aDICpAc5XfeLngl5vTArphM+CrLL0aUHbl8LNoMHgVtAFZI+Crh316Q3QwESmgVpz6Aj3wMv0f01Cvfc+BsbClrAafAY3wP5wJeX0j3a0z1dBr1nuB33b4jIoYZRL/dBn1j/MQoNrwc+xhn8hroGLBqIaDNxGfCboejsIWkEpI78q/9eE7qFx0DZ0jP60Bw3GhoD+L8Q/YnnXsP1TDH2GxVbVCvAA0kPaWIOluga4jrXUm/zObrimSNPSb8bfw6VsP7gk1M8mpJ76kPhucGo90jVDrPC70pSR09O74qXSI7U+bVa5Pql9ymU7V32odyv01D6x7qB3zwmNicuJXwN1QI53w6icZo97gxymKurzG6GOVnrOADn8ubF07eeV2PbIqMwphJ9CI9D++4Nm2SXOM2mHwUI4C2qm5qfbptwuMAg0SPkKNHC4P5QlruNQ/98HOU29JiFIXGuqNwHug0dCnShfA5il+l8T1D8bBqS0q4ndgVDqf01E++1Knga5C2DdUJf4W3BsrG8auKwWbb9DXK8eEvcPYb1Qz2HJa2xZ6qGHjs0KLLUCXLR6KM6MN8RovjbbWhbWEms8q7z4GmRuQXnNyjK139j/G1EfpqerRJ5mhRUa5eZVVIi+acbZvqJy6fLL0qGs9DRt5KJPmmZyTnoLjfRgX1qbEmtgLnE9i9rA77SvZXE5XnnBfmizI+F4NicqPTLN0uUAZVp9CKbzl6gfJchJaZDZCjqAHP7KoP3p9UC5H/ok/zbK6Z8mVXhdUC6YZuabhg3ChvAH6B6ZA41AxzeP9uVIV9c2tjfblxLqtcJxcCFoEDOS9M6EN4M00krV+dT/g/Sdid8Fa4NWCP5FuvZfyiir/Z4Ip8MwuABKGGU0yNJAZV/4KGSSrkFBT3hdaexDr0pmE9WqiVZatBKjc7I+jCF/FqGtihWwg6/iE1Dku/8Px/dPGJvFcepBsgG0zaLOpjxsDuehoiXYZWGfsBMt4VeFSZ8NIRt98tXP5jSkJf2t8tCgnHeqaXDWkHOpD2b+rEziJxIMBv2/+Sakz1A6tgk8mogt+dZHFC0zGEiOPvS5F+10Iy5nfxok9kOYNMr0ZaMv5XYivBy0/Hwg6TrvmdgECq0TK6j4+Ghbx7g27dUg3ALkoL8CmRzwbqAZtI5Z5zj+vyYuZltL371A/2viSUJd83LYmkHfBFo9uADipv/9ficJuhf7gF476HVaKSNdA6K9lbGki0uKkP4XMQ0sEkbe7kSawqfEtZyvvr8PTUDn8GDqaMBhq0IF7OCrUPxqsGu9D9VXfzQTqTTjYaKZg5zPsjL9F7RtltXOCmU/6NyFvmiGWSmGpvpg3Tc0fgyh3pXLwZ4Pm8EYOIl0DRq1rUGGHPRKkIn1p9AT1JdTlbWCN0Hbi6CU0Z+PSNyXOpsTLixVoOwEObZe1JMTVBtyuL1B18zWsB3cCOr7POgOcr4y/S+GvopQX4GsMyzN/5poTH2tBJwHek2S9njJy8joVzsKPg76bXmtgqxK/FG4CGbDFaCBhh08IlSlrViVO/e+rYAVsAIpCmj2eir8CPeClqLlkI4FOalx8JbipGuZOSOjrF7RaDb+Iaj9dRVGbRMt2yiT1Q+zUH4+rZ0JmvGOhtYghy67BV4FfdbgF+hB+QGEwcaHSCzUipZWIBJGeX1d82s2NEjRSsTICB1bExxuS8K4acn+AOgCo8hfmt+D1+rRALiePjxNqOX670G/YzEDdK56gv59dQvl26pOAc/gq05779kKVBsFePAnV3GIXxw/8Pg28S/J09fcViEux5Qw4p8SaUO6Zou/sp1Y4if4gm05nYSxfXWIK2RbDjBhxO+l/n1saMa8HtuZLrkvaaCMv7QzgCz9xKwcaMJI01f9XmRDH+ycrkS2Fcg5a8lfS9rziWswEDc5yFSbRkJi2VwZ1NWAQSsBcvqJ1w6ECSNvTSI/R5vJgP30ZWNpXjtov3ploJWQG2lPOiaMdK1wbE5aryUpK9QlXACazduqUAE7+CoU37u2AlYgvQI4i6Rzj5cgfUp8u6w4TqcBeeuVkd+QdL0n1lJ/OtNyuGbXS2W0oWX9hHNPbYi8bD6E9h71e9Dfjaj3HXEthcvpazUg8dqB9MHkH822Bk+V8dqBZhPL8nrvr6/KNVMCNgd+hbtI05L8RDgT9NvzfxDaqlABO/gqFN+7tgJWoNIU+ICWtYQ9L80eNMPU60ktoaeaptlNIlLzKtrWjPr2igplm4+jHI7z1OsF/a8Jzc5/gKNJ/z1K1/+akGPVa4iMXztQNmOj/Y4U3iFCg4hgx9OPR8m/loT+IG01qDkMbFWsgB18FZ8A794KWIFKUUCORs7njWxax1HVpvzkbOqEsuxrLHGR1sjfPW3G/xKfp8zwsElcS+IJI34HfbuHjQbEZ0bJegURXjs0IT41pOcjpL1VQzvE9Sok8Y4hpMVD8vXPezS4aZbvfsT343h2CtjBZ6eXSxe4Ajxk9BBakYdMuneZBd57d88KlK0A1/RCcpPOPZSMrvW8OvfQdjYh/dDnIqq8H9n0udjLapnKtpwogO/Sd18XwizQv7rUV1T0PdSdKuMQaFezhqsqapsy10EdlSOsyn+vqev5OdA7yoTRnz6g/0ke51W2V01JC/mnhLoOrYAU4DppCvrHLufEFWG7Hehe7BxPzzGuT8UPzqUu++8OP8OYVGhPS/ubp6bHtpMrBrns23UKWwHP4Av7/KTr3bsMlPcKGdyop/9/e+cBZ0dV9+8/vROK9GAElSJdBBXpYhelGDT0IlJiAwQB9aW8VFGakhcBIaChF6nSQboBRQSUTihBeg+9/J/n5s44e/duzW7Yvfv9fT7PnjLnnJnzndn5zTlTLvELCOerX8kXi6ZKyHqnY0U+uXxwfYVebPjQTZ8b6/Le6HfhcPr6XsMKRpD+CywDf6ss25R4cSE7M/G/wjhwG5eEwj5D5FQ4v8hIGAVUgGPNnx3eiejphFeRvovQqXyPo+NJX0c4RUYb5VPpvWhoHeocALf0ou4VvaiTKoNEgeLEN0g2N5vZRIGLyfOVG58KnhZGg0/UTgRfx6ntY0J/HGJX8Ach/gZfti3CT0Lp1Ih/Cs5zWdXI84cmrgFnDh6BXerLT6+Hd5D3IeKnwOL1vPkIv0H+8/AnWNB8wg5/Taxer01A+SXhGDLvBF+fanTulvfC4mg4zURhlPV34V8T8hzN3Ej8dNCKfKcWbX878p4kjEWBNgpwXPg/4v/FKRyL/k95LM0GftTFY1rzh20eB//3fga1e9YEfrjH/7vnwNfn5rZOH5q3o/we/996CvV8Hz/WogrUTv4t2reW7xYnioXp5B5wLf/YLxI6mnek4TTzSNgMtgXto+CTrWuAV/u+XqPDnQUWg8JMf6RIVMI/Er8EXKfO3dd2fFVme9DWAu+/6dz9vKZt6nQfhOXBJ3xPBk3Hvyc46l8BVoZNoI3RxurgOi+FB8DXhKzXzMax7KxmC8yjnSUI1Ka4MDG7sB8TeYD6FxcZCaNAEwV+QN4i4DHoceQPr7xBqG0Bm8P6sAGMglU57mYmHAPfAP8HvSjYEWJRoN8ViIPvd4n7fAXrcNLw3vtLtDwRvgn71deyKeEJnHTGw03Ex4InnsL8hatHwJHIY7B2saAb4fcoczj4YY4JoMPWURcfs/ArVo6EC/Mk5zbeTfbjhL8AvwM+P6F2HvmXwiPEr4CPQKN5Ql0WNqHcEfBqY4EepD35+itjLzSpsxV5JzXJT1YUKBXg2PECdjQcCEeRvq1cOPnHYTyGvKC9F04Enb3/E55n14WZQAdvvDT+J+aF98HbXbEo0GcKeODFBpcCnlTWhDXA0cSinGiuJ9RGwM212OQ/xh1xF6bTL+zvRBxRNNo0jRn1tM7c9TwNvwJPRp0dP26LJ8SasY2OwE0X22M7hU0iMn2RqITbET8SzuPkdwV8obKsp1FnM8Y2VqJNZw/mhYsalyUdBRoV4Dg+m7x3YVzDMv8XdweduxhfifJeEDs7tRVMhOVgDY67bQhjUaBfFejsBN2vK07jvVbgFU4a/6zzBKEjhMKeJbJMkSD0ZPJQJf3xSnxZ4hPAk5Uji8J05G2Mk5FT8efAr0EH/XnwQqCjiwEW/T+3ZU4jGm0sRGA7D5vGqts9OafhL13zR12cNVgczoQxtOPzBZ2tt6GV2rrVYRg4U9BozoA4m/BW44Kko0APFLiVsntxHPlLeB7r/q9tyqHqOfbv5K1AKO+Ajv5gli1A2M7IXwt8+6PNsyvtCiYjCnShQBx8FwINssWXsb2jODEMA53pSLix0geX+dORy5O3NNwAjqQXJW8R0HF+Gxod6OzkacXnJ0cR997iDJy4vEB4E3SgVXNbvFhw+tHjbHtwut5p+x4Zdd6C46m0FBzSo8qTC9tX193s4bxPsOyfvWgzVQa2Av9m857rxSZ6jNzXi3rnU2cbjnVfqfP/x2dWdgEfPPWp++Ecf3cTfx4mwVj4DbQxyi1GxgV1/D/1VtjJEIsCPVYgDr7Hkg3oCgexdTpbR8n3wCNgXmELEXGZI1k/aen9eEf4p4PlXfYgtDHKPEqGJxmflP8b4VfgFlgCtGvAp4fL2QPqOKLxhLYZTICRsCH02mjzXTgD3u9hI0tS3v41M/vQ0bJm5ZM3CBTgEBkJ43u6qdTxGPtsT+tR3odBn4QJcD94C+tQ2vIC+gC4gf8P/x9GwGmwP/gQnjNIVfPZlbuoNxYeJ/4LqD67Ui2beBToVIFpOIg6LZCFg08BThpzstVvs2+9+q8ZeROIrA+PgdP8jrxLY7kj8NfJ73CqmjKzUYYitVfOyrpGXEa+I5PSyDuDhCepg1jWm9FU2VZnEdbjxcaxrGNsZ+X6ahnre451ed9+SBn99l7ynvT9k0Oq4z3oLBr5P+I/SZv/BfNYNh/BWeBvsp9J2v/HY2EN8MJ6evg1eJGxG2HNKOftrvXI+0c9q03A8l4f/9R9inYXaNNgEi2jQEbwLbMr/9sR/mFfhtK5/3dJ7cRT/GZzNdsT0kvQoXO3MMsnwWttKtYTLmuWP7la/zn3DtaZ7CjwgShQ/x9p+r/AsmeqG0X6QtK3wi8r+TpzbxvVDAfsrJu32x6enJO/UaD7CsTBd1+rwV5yDzrgaDoWBVpCAZzffODrZd+rdoi0n3Q+t5pnnDw/UnMdlOc94/W8oxrLT6X0D1nPlyvruoy4T9kvU9/OXj+7Umkz0SGqgFNCsSGgAKOFM/uim5x0VqadA8GngbuyZSmwAnWW6qogy2eEb7OdL3SjbGORF8loOrPQWDDpllRgP46xizh2nuiidz9m+d3wUzi4XnZvwvlhz3p6qgZss1+424+V1kbxpG8l7f358eBtrZdgip5doX5siCqQe/BDdMf3ttucfK6h7r/hqd620UG9Fcj3NsE2HSwfMNlokHvwA2BvsB+8p/00+CDapzh2fEDNkfqOBF8kvRFxR+s7wXdBR34dbAw+R+Cyv8LalDW07loER8MIuBq+x7JnyV+C+CmwDPgQ3WjybybsF2N9Dr6GsY4un12hbO7B98teGPyNZgQ/+Pfh1O6B9+l9+v7QvlwxJykfNpqpL9tMW0NGgcPo6T84hnxy/qyGXu9MWoe/LXi+Gws+rHYIOGvkDxcVzt0LBu+LW+cqOAj2gt3q8QsI1wEvFo4BLxL6xdgmZ8i6dO79svI02jIKeAUbiwIfiAKckKf5QFaclbaUAjjDN+mQTvloDqm5Gzq3KenGzze/Td6q4Ije6fHCNiLiFL6OfBJ4K+qroOlwvT21JOjcPw2xKDCgFYiDH8C7h5OV78n6VG1LGX3yV+2c5r+T8LfgO8PajMR9feh+cNlqk7Mnv2JEuvZAFaG/eOe9S/EXuibBIkXZhENPAZy8t46uhMMbeu9Ue3Uq3biO3RH6WdRzRqqw4USWg3vrXE84V/3Y2pX4DDAePHY3gVgUGNAKxMEP6N0zeDeOk6I/L7t5Yw/IW5c881eBFcER13dA06H/E7zf+QPwc52zEFbNEdfn4QpYCvYFT+xPQGxoK+BUuh+OWa8igxfI3jcvTAfux52amc77Jpx+7XOzhqQdtXtsvQMbw4Lg7aRTODbnJYxFgQGrQBz8gN01bTeMk8lycDIcBY5avee4fFGK+J7wIPi1ue3MJ5wWRoPfb2/2+/Dbk/8w3AOrweHwNJwGc9Tb8FUkHa2/YHcHeY1ToBarGcu1r8HlZJwBL09e0ubv9qTGgFOgs3IS3QzG1Us4CvcjINq1xB+H1aFqTo96T9X7po7E3E4/DOLovsP+UibW4gpwCDxNF/cGHXFhlxHp7PPNRTlDLxQ/zXG0kgnCzQkuBc+TY+G7rON5Qo/XNyG3mBAhNnAViIMfuPumcctmJsMTjicYXz9zqtGHgDwRbUqwNYyCb8NB5H2EcGfYCXaAkbAZbAvaR6H4ffiLiXty8+dYHVUPhy+AdiK8BI6Wj4TqaIjkZGN93yd2D+wGlluek6H3Mhvtw2TYvqMiL1S8eJiRuExbP4ESrdmT/NWJV80HqhaAfcELiQOh2KbO+kux2BBQ4Dj66MVfYf6P6IwfBo/PR8C8dsax9zqZXiBczzF5L+FPwE86v0vok/o7kO/0vOxDfsvdPqNfsVZSgIPUL5SFAagBx9mq8Kz7B1sFXij2FfG1wG9WE9Q+f/k/lWWW1QneBD+u5Hvy+ku9zgTiX6vHXc9bMEc9fQDxX8I84MltaZizjhcY/jZ7ecyQ9kLRcufCvNVljXGW3w+ePHXKXmQ4Jb8+nApvVMuTPgt2MA+bD4jW4n8i7snV2QQd/Dvg8g77W213SuOsx9fkyv4PlTj93gT8ZbRB13e22+N3lu5sO+Wmg6bHMfkec9N3p52pVYbtuQW27s36qOenagfd/sw2d2+fZQTPET6IzCnIwiYRmb6eWJJwfLGAg/9WeIr0CHCkX5jxhYsE4RP1uCOXJ6jzSj2ts7dtR9p6VN8H1inLrGC7pVHvPRJuw3PgA3K/gcXKAm0jL5L8A3X8dbcHiZ8MI+ENmAGq5km52MYyn3obkPgzHA6PgevdCLrqL0U+WEMXzX7FOlAAfaZXpA4W9yqbY6bDzzc3NkhZb/l4TLUz8r3I9oIyFgUGvAJx8AN+F7XZQJ1tM/PrbzrYmnFuXAeWI+Eot5i+dpl5DxmpW1cnKqc0nZ5fjpNa8TvXjpJvq9cvA5Y/ANtbFrxA8L7/PmWB/0Z0yMWFhLmWna0evksdLyq87aCzXxweNV0Y+TPX292bvOKBKkdcz0BX/S2ameoh27wAnM2KnSL2a2U3wxZTY0NYj59ufQdehpfA5ylc/+rN1k/+oeAszlQ31rsoK1Uj930bY9mc8Ais5wLCbeGxJvgsRxujzD7waIVmt4/a1EkiCgx2BeLgB/senLz9VxJswMlrDpiF+AngxcBl0N0HjCja1nDYOt+rwAf1fIBtQeKfA6fDmxp1JoL34T1Bl7MKlcKnEvfEPAvMTvw7cE19+QTCfcm/hNCLlhFwGenvEa4GmhcdX4dvgE5+Y5gLLoem/aX+kfALlvfYqPdh8AE+LyJ6ZdRVtxvhBvgo+ngxpnP3ocY1CXVWxXp0wuLzCVdCeeFmue4YdZxB2auh7NWsd07w62jq9Qe4gHLN+nUwyw5rqN8nSdbX9O0KG2fZdgQeCx0dX0eyrDr7cQpp9Sk4l/h4+jeRsNHUeSfwWRLxdkMsCrS0AnHwrbF7j6AbL8PDcBecxknO8CB4E8zXMToyMq8n5sneh/Ns4yaYAD781qmx/ufBafRGO4+Mv4AzCffBBBgD2h3gVPsa4Dq+CJ6YPbGfCIUdRWRT2BXeAe8L+4BgX/SXZvrcvkqLE9jGI+FtWyd8gGB9eNo05jMTmv2YAN8GL9zOwvGdDGNAp38pLA7XgqPXXSijc1wOfPthLEkd5RbE5yfsyC5mgc7Si8Kfwi/gcVBb628DtjsM3Aa386fgBaT5bd6uIO1+amos074GXoSdAR6rbYxlM5Kh01WrF9ssJMHyDQjeAI+ZmqHhO/CakLEiOKPjLFIzW4HMW+Dj4D1024pFgdZWgAM9D1i0iAYcqZ6wZ2zcp/X8bj1g1Fi3SNOGo6ppwFHyT4v83oa0oaOoPdRnG9ixcBKcBcdV2yW9MixYLzeB+P7gBcfj4KtLtWOY+FrgRYIO4k/woXqdI4k7gtcBnFgp762B22EOsH+OAK1rG2vW636YuBs4XaVe7SE78rxAHg224ahxH/BNAIL/Nwzsi45xAoyt57sdBxZtFSF5Oh8rLgrfA29jfAfugfdgD/CC5vV6WkfnhddzMBOMA+s/BhfBX+H8+jp3JH55ZV0Lkz4Grqwv/zVxb29sAKvCoXBAfZk6OlJeEJwZeqWefyHxk+r5Xgw8WLRfDcn/PtwLV4POu/b7F9UyjXHKqJkzHcV+nZ/038Dj236tVywrQvLcB1sW6WpIvpq+BV70esy8BOtWywzmOH3xf6k8PnvSF+qV/4M9qZeyg8NvZgTPEd4qxj+dDxJ5Imtj9XwdQ6+NNp6BmufqdSOVijT1OujEGu0wMjZhxHYX+LqftwQcoTuiL2wNIo4Yd4djKeN9eR20Tsf6S8ML0DhNfT15Iymr89V0OPbL7TgRPPEvBV4Q6Ly6sp0psBPsACNBh7staCeDmi8Pbss6oN0KOvPS2J7hJD5dz9iccG6YBEfDGLCd82B/8KLBi6xrYUvQMZu/ErwDXkB8Aa4DR806f20d4t57t49ejHwT9oPCLkSHP8H4IoOyjqq/BgfV9b+c+JPkf4hQ7X4Jr8E58AT59rU00tOSOAruBr8Tfwn05hj6HfX3oWq7kT/5tdkLgo/C2aabmA7Q/bE6jAAvaBqPDbIGp6GL/0vv9mbrqdfsf7A3TaXOAFTAf8BYFGijACdmP3zzSDMo6Ahvt2bLyPPk78m4N+YI7TZOODoYHbQOVqeoo7qEducgLOyXlHsMTiND5/kR2Ah0JBeAzvFA0AmVRvnnSfwFvl7P/Bbh6bQ9D2GXDqtepxpsSqLxO+dOjTc6Ri887iPfUdalYFrHND/MS1Sn84R52Iqgs/ZCTcf0cXDZU+BFwAS4F/4FC4Hl1gVH7b6ZMJZQLe2rzte2tdvAiyIvjhaBRSnrBU9hjmwbbTEydB7OIhSmQ1gY3oerwW2Rj8FqUBr13iOxJDwHXb1dUdarRtDHWQydt3q53+aCzxD/CGFhXlidyfrsbzsj/z7YHl4EHeEYWJM25mtXOBlRoIUUmL6F+pKu9J0COg5HOz21lamwS08rWZ4T7/GGnHR9COw/RH8t9RO508Q/BJ22VjhD445IdYTDYTnQ2ZRGfZ1Z1bwo2Jj8cwnXA6evF4XCYREtTYd1SZlqH9F53lzJNr4NNDrGv5O3OcwEVSf0W9Ivwq9gAdA21QmxfTrf38BB8CjoWL8NO4Pt/AO8QHe77aNO2A+xTEfoDMEwmBUeA82p9X9Ojjb922wE6MWT9+h9g+I/9VpeDHkxoO6+XfGs+ZTRWZrXxlj+ABl+MXFfwl3Btyv8jsJ+xLtjc1DoVdi7XtiLi1FgfyeAtgF8vxZr8of1rUj2iqxzbH2x+r0Fajpgje1en407DVZi2+8vNpT8HxMfDfbJi9lOjfKWPQSWobzHUs3Iv4qIF6iuI9aCCniCiEWBRgV8eOnOnkIjOq9mjqKx/aZpTjieeJ3q1UHWjG2YQGQcLFXLmPzHkWGjjSejo++IV8ueT8KRrFPUN9K+TkxnUTis4nXA5ck7ETozndsylQJeYDwEpWOsL7uA8A04kb45aveWwtakvwL7woNQOGKdpQ7Ji6U/wzMwI2wJzjicBf8Hh8E0oDm6V7M5QWe3OFjf/r1O2Cuj7tNU9KLAWQnX5T6YH+yfzmE02cXbFf8iXd1HJP9rtDURdiPHbXNfdcuoczysVkAl1/Mj0mfbAOufgeBjcKfpwsifG7yA09TwaNK+qeAFkBcDPn/gPhmwxvZdyMb9Ccax3dO7oYQel17obsXyLp27depm/WOLRMKhoUAc/NDYz4Oil5yw3mRDL4XfcyLTEXhC+ziBzu1q053YlSzr6DviZTXW4WjQtjxJnu4C8hzNdeWw5mFbalCWaO2Eexnxdq8h0l6jY/wc5fxfc6bBGQYdztZCWT8w5EXRLqA9AlfAXrAGzA06IkfOjuKsq20NOjftNtCZ6egPAEd+y4KzBlNq29HAjvAQGNdRO2twMGwGD8NN8CuyvRjo1CjT0dsVndbrZKHHic+e2PeqebHlxZz7dyLBvuAxYj++ArvDYLAfspEfBt90mI7wD/Bb+qTmHohN32bw+AQvKF+k2P7gTIrfYnCftTPyF4FfgRfY/4R12xVKxuBTgAPFf4AQDcpjgKO49pR4T48L6m0CPhBXttUYZ/m1cEU1n/S8oNPwBDY7nA2OTl4DR9Y6rdrT14QTwKnh2jqIe+JyCpOgNm2pA9eJ/gMc+RHUHpr7RaXORuTZ9uyVvJVI3wc6WJ1A7U0BQk+uNtLImuTNBRfB86BT/yNMX1/np4jbzsOg4/tiPf8Y4n8s1luE5DWux+2z3ob1egsQ/xvcAf+CveEVmBV09NfC2/AE6Mj2Ktrui5D2PgSbQJv9S3o+6PLJ+L7Yhiltw+2Eeae0naldn232eHVf/xzuhJmKbSB+IZwEC8I2UHubgfDbcB3MCzp4L2I3BC+EirdLvKgdZVvYX8B2FoHvgetbuFhPwo7PaQNZm+Kkyb6MRYHJCnD1roP3xNAjo54OYE/qfrKjipS5lmWfhp0p5wnFUYjrehZ0jo5mzZuWQKf2JHm1M5D5XRn1vEiYiyrPdVW22XLq67D8/n+H66RMG31IOzX+NlVeb2yTZZ5M7VufGO2p1Qu0+V61QfJXIT0OlmZZTcPq8r6Is44u929frCdttFcA7c8kdwP4NPv3dkuQNw+BMzrLgrMU2sUwGj4GvwZnABYHX/v02ZNjiPucy+bEdfAnwPXwGAwnv9YOy1yH9+ctHxukCkw/SLc7mz24Ffglm38wJxFfm2qcWvXEtRbLfwRrw3Wk/UWvJ4l3aZTTufXKuds49Ysp8C7XVRSgzstFvDFkWZ85d9umvY769jCLHbX3i3Nv7FfSU10Bbyctwf6tOff62ocTeiF6dT1dBKsROQ5Wht/D7ODPRfuMy8/At2S8TVHYCCK+lVJcJJh/CyxsJDZ4FYiDH7z7bjBv+d1s/Fj4DTgqLI0Tz2IkLgAdvKOPw+Bk+BL0ubE+p9ad2m4zIu5iRdNRzxFPd83/Mx9cXLS7FXpajra9kDins3ps84Ms92TvdG1vzNmRmXrY98b1OCvjbQdHmrEpU+AeqnsLy1tWtQtJ9s189TyduSP4feAo2Aq2ptzvKLMr8WOhuLj2onZh8p358p69tiz4fxcbxArEwQ/inTfIN937gv/ipPJNwhsqfXEa8i5ONGPNY/kvCHyHen7ydMZ9bY6AlqftjkbGU7w+tt0p0uumuKEpb2BamvBZAO/jfyCGFj6YqPOIg5/CPcB+fAs9r6IZ32b4X8L54U74PDh63wy8MP4XvAI1o96plN+OxLr1LC/8Hobvku9FwQpg/Z0gNogV8B8+FgWmugKcZF5jpT+AMTCssgEjiDs9WDPKPUBE55vpwsmS5G8UqCpwMAkduQ76JijeZvgD8Umg89b5eyF7KhSm867N5PA/9i7xLcF794/A5cbJv4swNogVyAh+EO+8wb7pnEAurI8kvCdfmFONnysSLF+IuA8TeQKLRYEhqQD/K+fScWlj5N9OxhL8nzg1Xz4cSv47pL9J/syEM5Ju85wI6fvIdxq/ZqRvJrIY5Z0F6NPPUk9eQ/5+EApkBP9BqJ51VhXwPvuXKxlO4a7BiWYZ8PjcHvwEq/caY1EgCjRRgP+Ppk6Z/DegjXNvUr3MouzT4Gg/1gIKxMG3wE4czF3gXPIo279f0QfStxLfH8bDBBgJG0IsCkSBKBAFeqBAHHwPxErRKVcAB742nFltifRh4DcZvBfoq2BO2Xtf3g/Y+ISw9+FjUSAKRIEo0AMF4uB7IFaKTj0FcOq+VtZvT7ZPvZ50f03ckvDzotN0v0ZKRoEoEAU6ViAOvmNtsmSQK4Cv3BHegZfhJfD30G+G1Zt1jfxD4YBmy/o7j/Uuyjp8gnnxYl3k+YMpZ4KvCd4Jq1WWbUj6mnr+SYSzFsuqIfn7wKNC/nDwnehYFIgCQ0CBOPghsJOHeBevZiZgTvDznH473teHLsDhTddEF1858sM6/WGOzjdv1jD525F/DfgkdNV+R+KfsAT4SuG5lJ0F7MeJsAMsDw/BKdDM1iTTV6KWAr9UtjvEokAUGAIKxMEPgZ2cLrZR4GJSc4K/c/5TQke+jo4d2epotwE/sDMMzoKn4SJYsZ7f9Ne7XNZo1NG+Rv7J4Kt+7Z5mZvmM5G8CX4UXoWq+XTCGCxPtWuKPg7MPG8N15N3nAuJjoXglimgb86Mlt8DH67m1d5/blEgiCkSBllQgDr4ld2s61UwBnOnC5O8B1+IXdaa+86uD19GPq6f91TRNp+yPxzhC/jMcA5ojZ1/Zc0R8JJwE7Yx1fZ9MPyW6G1jG148uIGxj5L0FXwLfSy6N+nOT8FfDni8z+eEd4m7z/fCxSv4niPtNi2Lba4tow2l/L2b+Al7YmF4FBqXRnxkG5YZno6PAB6RAHPwHJPwAX+0Tvdw+neZjvazbX9XWwTF4712nPBG+CftVVvYmcX/0ZnyRR1lH1Y68DyJfpzoG9idfB+pI+5fwGpwD/n62FwGlkfb/yhmBu2EkXAs9tXmpMKmhkhccs8MNMC/rGQPfIf4LeAPegarNQsILFUf9I0ANnKWoGXWvgteheEbhWeJ+xtSLi3ZG/kPgjMBUN9Y7ipX6MZZ2xrIvQnkhRNxbGY81cGG7ismIAi2uQBx8i+/g3nQPp7ZcL+tdTl0d6ECy29gY70OvAYvAomzj9YSFvVdEKuFixF+nnCNwX9vTLiPqDIBT4lfDvXUcSa8GpVHWNpcE3wJwtL0PTAc9Mb/o5+i7aqafqLf/deIfBh28MxBvwVNQGuWcwt8eXoR3WfAKrIzjm68sxA/6sKz2jAJ5tjcMOnoOwQuFf0GfGtszLXiLYZXGhsnzQcPfku8F0zTNlpP3q4Zlm5JWf/GCxIsfZ2hiUWBIKRAHP6R295Ds7Cs4sH/W0TnqoLuyFyjgPfqFioLEtyX+ODgK9t38hYS4o/cToY2x7AHYnkwvlt6G+WlDR98to66zIY6uh1cqfIS4T8TPQfgqZb4OGxB39Pok8TZ9o9yKsDXLCtNBui06+nZGdWclroHaOqnrU/p7wlPwZfJPgcXBZxTWhBvBGQxnEmau569F/A5w1sSRdJvbBpYpjGVzwo9JeyG1FXhR02ifJ8Ptcnkz+w2ZR0DZd/rh19teq/dnb5bdSPz0ZpVzdRWiAAAdsElEQVSTFwVaWYFpW7lz6VsU6I0COIOnqefT61vggDRH/7uCjv8q8Ne7HHUuSNwR7VLQ1GjL2wIHwZNQ3gZoWrh95plk7cF6fAJ/Y+LODLg+p97/Qt4wQm0PqF1kkOeId71aLt8UJzya9IfBGQQvDG5hmxzRtjGWa58kcws4r77Q2Yl1YTu4HXTuM1POfp8DJ4AXMIuCryQ6M3AhOAOwNHgxtBc02uyUdUTu7Iaj7K+xTRvBw40FyTsb7J+3J9oYbYwkw764T9oZy5cgcyfYpd3CZESBIaBAHPwQ2MnNusjJTyf1CjgtWxpp78uOKjOIkNZpOFL7UUP+EuR5/3bNan6LxHVqO8JDcAzsiqNxlHgwbAY6o5ug+PUuop2a1X1Yryf2vxReBx6BQ2En2ngbvAA5Am5H+7sJdfhOU2s63PONUM6Li33hSrAfs4L1qnYUbThb8Cr8DbwoOAMKO5J2LoKnigxC97czBifBc8R3gmthI3B7LoBJcCB8FRrtI2SMhgPg+7Sho++Rsc1eZPwP/KSTipuz7ALaf6GTMlkUBVpWgelbtmfpWHcUcP8fC81OwmV9T5CcUD2Jn054Fem7CGcgPQ6OJ31dWXgARdgu+yZNjeW70Q+dQM1Iey+7iN9GZHGWf4j8cuqY+O3ke2EzH+GzpMup4VrFKfhDU/NXq5OeQHo510Vcx1sa6UPI/zUZ/lKYzrRmxN0Xs9WTOvnDKadTnwfs02PFsnp4GOE58C48TnlH3VVrLO8yR93ji0LUeZz446zHWYbl4N5imSH5i1DGi43C7iLyDXB0vwvLDyc8kTKvEXbXjqHgDbA6qNuMtPN1wito501CzQuxnWux/IkCQ1CBjOCH4E6vdNkR5QKcGD0RtjNPzPAreIKFjiYdsZ5C2uPGe5s6kp+BJ3Ht5+CJfiL8DGoPRRE41e294+fAd8vnts5gMJxF6dyr20t+01/vqpbpq7jratYW+Y7mS+ferIx5lNEcaTcznbrPKHT0i306/kbznr9Ovmbsz0VhQxI6/Ztoq/Z8giHplcHjp42xzDcX1iBzS/AC8xHaWK1Noc4Tb7F4BfA4HA0z1+Mekx6PXmgMgytMx6LAUFQgI/ihuNf/22dP3k5D+yGXyzjhNjqzU1nm1O4q8DX4NbwBe8IusB51TGtbgKPh9cHj6iS4knbvIBwDnswngG26Tqe6B4Lp+N7p6YbQr5moMxY6fIis0qZlfaCsu87mTnTdtVJ/oEWvYYMOoz9Ls53/Jr476PQPhT+S748EefvA42EPWAk81toZ5RyFf5WyKxJ2ez9Qb1TRGHU/TPwf5FUvEJYmz4uW94pyCaPAUFMgDn6o7fGG/nICvJUT5NlkHwmekGtG3nAia8KmlHF69TjynKa/DQ6E/ck3XthWRHTqD9YzTiTU2f8DHPGvC+NgA+o5+hoQxrZ8opcbsir1vgjdvVDxvnR3zFmP/WDAOng0+xfHgiNnj53/ED4Am5PvU//mX0/oMfM67Eh+U+fOstIo43HSl7Ykjd3Tlw2mrSgw2BTwJzoH2zZne/tAAU7ATmuuzf4fSXwu4p4MtwEfWjoBHoXTWO7oqGaU+z8ijtR+Cp9g2X21BfxhmfUdzb5d5BH+nTJfY5mj/4NgGXD054NV9xIOWqNPzkj8nn4s0ZedoN0ZaM8H2Obty3Zti7YfJvACy1mVKTbac4AwG+29VG2M/OlIz0W+syNtjGWXkeHvAzjaj0WBKNCPCjiyig1xBTjZvogEjhiPhTnqcjxDuDAnZJ1/YcsS0Uk0s1vJ3Iu2ivfDP056U+p7jOnovV8qL4MPSMUGuQLsU3/St41zt0vkvQvtnPsg7242PwoMOgXi4AfdLuufDeaE7L1xp1q936451a4z/y5OWluRuA9M3QLN7Hwyt6Gcr9Q5zfxH2AUc1fvU/XDWcTfxP8NUNdY9Grr1SuBU3bCpv7JzWeWTfb1atD0VJoEPUXYK614dfACz03L15f7U71f6envTXhQYKgrkHvxQ2dPd66f32O+0qKMwTq5bEtXx/xBmhtHk66yJtrNLyNkUJoCj/3/DoZT3vuwBxG8gnEQ4O3wLprZ5rDtD4RPbQ9LYF7v1U8cXp90fwB/6uH2f2fg8TPWLwj7uR5qLAh+IAnHwH4jsH/xKOdk7TS6lkec99ZmKDNI3E18Mxzw/YflaGPntjhvyXqPMRpSdzfqkdeY1I34EkSNY1u597nqRqRHoJEawDZuxPTqONkb+ImQ44+BFyrPwY8pdTThVjPX7e/Xtprunysr7ZiXvsf3V5y+muFU0eb9ohLhXldOyji4f2CvqJIwCQ12BTNEP9SOgG/3npOpPnZYn286qUGySNCtDviP7D8p0DL6e54dfvG3QaM5U+GDbKvBbOJ9yCxP2m+m0sH3BBxTHE/rg4eFTskLa6NbtCMrNA++DXyIUvx3/MPyk2frJ90dqPpAHI1mv56kzYffqtpHvU/x+X6FgB5eT/gScBneAX2b8drVeESf/U1DULUIv9GJRoCUUiINvid2YTnRHAS4wfBDwbDiyWp6T/HDSa8LPKTMRjiPu8wgbQn/aSTT+WViNdS5J6HMOH4VZYUqsuB3RnTb8dT1/Tc6HKb8Ee6OHYaN562btxsy+SLO+ueAn0Ox8tADr+As4VV8aZb0YU6ulYak6vyfU3L9/pk8+1LkFHE1522m0T5FxBRT1DZ9oLJR0FBisCjT7hxqsfcl2R4HuKPAzCq3HCb/68NYI8h7DIUysNHAL8X4bwbP+OWl/c/CWwfOul/B1gu9BbaqbMtOCI3I/GuPXAfeB2v8soSPT7cFR9z2wGjj6Pxi8xbAQ6c3Acr4hsRocSPzL4Ch1f9BuJL2uEdZ/H8H94BcMV4CxcAk4w7A8eEFSM/L8lbkH4Q4y5jOTuNb0a4a1Sg1/KLskHEO2Fw9+Evi9hiIm/U7B0XCaiYp5MfQ3cOreNzbeor4P5anPGKiVJ0+H/Qp8EhrNNv4K3oLy9pG/QNetmarGhpKOAgNRgdrJYiBuWLYpCvSHApy/X6RdHd6UvBLYF5u2Mo14UaEzrtpTJGoOnnBn2Al2gJGwGWwLmqPXb8EacDFcCa/CITAzeMtBh6/zs9zf4Tz4I5wFc4N2PHg7YnHYiPhKcCHMAl6AjIefgI5vMdCRb0qwNYwCp78XhXnB0bJ11ocNwOWrQhuj/upwCZmXwgPgF/H2bFPov4lrWOb2NprOeRm4DW4Cb3H47r3PAvwJahqS58jfvt4MjWYb9u1ymEDZQxsLJB0FBrMCcfCDee9l23ulACd/nZ+OZZV6Aw8SPgwdvhLIyd/RtPdpdX59YY4aX+6iIR3pCWzveNCJjQWdqKYTd2r/ccIzwGl5/5+9KJgNvgDejtC5/Q7eAJ3hk+BtgXVA8yJgVnD0fjr4hcJnCDV/V31fuGhysvy7IbFTyXe77iF+L+hQt4KTQD3NOxF09o3mE/fLwibUPwJebSzQjbT9OJK6SxEuCq/BJlAa+2oJEn8AP6zkhV2jOQOwHcss5wj/B9SZr7FQ0lFgsCoQBz9Y91y2e0oVcGT8lo1wgn+XYEsYDY+AI7raK4GEha1LxNHssjiBRYrMKQjvpu7HaMsp5kabjmxHliOgOvI07seHdNryPmhO7b8En4FfwwTQgerQHYnr/AubSMSp8FXrGV4InAPHwexocUA938CLh2a2JJlqUdgkIl6sqMvuoHMX4ytBo21HxpFwHn25AtyGHhnbOQ5+aSXC5wlOgdLB06aO/1rwguU0wnZGvvv4ehcQ3k5wIziLEYsCLaFAHHxL7MZ0ojMFOHkfAyOrZUjfBzNB7eRPeDM4Bf0pWIC4I9GqeQFwLjjK3RpKw5lsBP+Ax2EPuNKFhFpH96R1gDr31S2rUVbH6Wh5TlgQngWnoQtbjshD8BvQoRYOnmht1D6W0IsWHfh98A3Q+R0Ec4D2UXC9w0xg/4CFwK8NWrdqXvg0sxfIdFsLc3uHw63Q7muGRaEiZD2vwuGkF4czYQx99zmDZhc7RbU2IUV9vmCVSqYXMrWZB/Jt131wIOs5tlKmjFJmZvCZhpnLzMkzGbU2KnmJRoFBq0Ac/KDdddnw/lAAh9DulUCcwGys6yvg9LwOfluoGct0mL+D/cCRqBcS5mlbwOawPmwAo6A2cmY9Tmk7Sv8DbWwFlxC/BlYEH/Zy2WUwimXDYB7itv0ivFGHoDTb+1iZmnxP3IuE10CHrzN0KttRto7bdWk3wcpwi4lums5zA7ZpDtCxLgZebJwP25DX+DVDstsbffTBuONZshQc0r5EpznOYBzEumaAeYmr9QX1Gn8gHAe+KjdPnRldRnxt8IE+NVwXtqvnf5rQ2YbLTceiQCsoEAffCnsxfehvBTZmBdfhFF6BO4jrTD9ZX6mO/3byz4N/E/+/er7BVnASPAj3womgs68Z5ccQ8YLht/Al0PFa/k3QHHkbfxjugafgE6DzbzQd+WhYE3R4jqjfAe0heB/2ht/D78BpfW1xOJNtuauW6t6fIyjmDILbZb3nYCJ4kfIkTID7YTo4FDo11u23688At7G7NpaCznCo+QPgfjkH5+2FzGqwB7hdBaOIa+q9ai3GbAOhv5dwH+Gl4P34V+vLEkSBQa9Afk1u0O/CdKC/FcABOGJ1dOd0t+bI+K/wYbgIHInuSegIcTmCC0gvRlyn/CHwgqCw2i/sFQlDys1O8CPYCayzCvWLKXSXOwVuG3+Ep+FimB+Ohu/AFZR/k3I719M63fGwHqwO68Nj4AWKFxE1o7xtOLPgw26W7ZHVt+sNKl0Hx9LGWBsg3xkP72tPMuyt0c4Z1PVNg5901AZlZnUZZV7rqExX+bQxD2VepI33uiqb5VFgMCkw/WDa2GxrFJjaCnDyH846PwtrwJv19S9CeCHoNHWkW0NhKxQRwlvBkf/x5tGWjtxRbRtj+atk+I76YYTbwtrEbyf8JMs0R8vWf4vA9mUmmBn2hptYtgDhOZQdQ2jZ/yGYADp4HaBT++ZvRuDzB7fC06RnIf2My3pq1C+2q01V8qfIsbdprIsE6+q1Yy+apo3iwq3IShgFWkKBTNG3xG5MJ/pRAR2iI2RH3nfXuZw8p6cdWRv/LI5yXfBiYDso7Hwi25Df7XvSlHcK/SU4BNoY6x4FqwkLNoSX62kdlPf/fws68Q8RuN3eh94DZiVvWUJtbujo3nWtQP5EgSjQGgpkBN8a+zG96D8FtqRp74U32pVkfBcH+zzO88fETwRH53+GhUG7BDaFCeAo2fvFh0KXRrtOT/fEdObfYluc4tcOpw3X92/yfkPo7ME2MBY+By7zXv25cA50arRxMgW8gGlmHyVzF8ps0WShD7cdxLaoS09NzTK67qlqKR8F6grkHnwOhSjQCwVwZk7ZO9r+EiyOA7vKZsjfhGBn0mub1sibzZC8LqeuKTsDRZ+krM63x0b9YVRyZN/pA2uU69G9a8o7Hb9vjzeIVw6psyab422OWBSIAlNRgYzgp6LYWVVLKvAUvboOB3gC4euwI/wQSsO5denYy8JTGGFdTu93aZTr6b1rLxoO77LhhgLoohbFswsNS5OMAlGgPxXIPfj+VDdtt7wCdUe5Ch31nrxOc33yLmr5jqeDUSAKDHgFMoIf8LsoGzhAFZjAdnlf2qn3JwlOMd4dY1Tra2vnwgsdlPcra093sGwu8r/KOn0GYNAb/ZyPTtjXHejTcUWHyHcm5IvkbVTkJYwCUaBnCsTB90yvlI4CNQVwPI8RObCXcnyaepfQxjd7Wh/Hdxl1VoaWcPCV/u9H3y5CkycqeYlGgSgwBQpkin4KxEvVKBAF+kyBY2hpTLPWcPz+kt9o8Hv1E8FvyOfc1Uys5EWBigL5J6mIkWgUwHH4zvoT8KOqGqSXgJdhzWp+4n2mwGG0tCT6jmzS4s7k7QQ7gMt9x39biEWBKNCJAnHwnYiTRUNPAaaIvS+uMzkEZ1P7OAyhr66Ng+NZfh1hrI8VQFeftNeRH43efoynan5L4ATKjIebiI+FLSAWBaJAJwrEwXciThYNTQVwIufT8/PgFJyN/yN7g++y/wx8r11r+jOw5G8Bj8JzcBY0OiubiDVRAN2vIdtnCxpfxxtB3s2VKsYXrqQTjQJRoIkCcfBNRElWFECBH8AisCfsAlvigPxhFc3R4+bg0/D+WMsoWBVnPjOh95G/AX7dzYsCnwZvBbuxl524j3o9qbsb5X34cL3K+p4lvkwlvRzxhyrpRKNAFGiiQBx8E1GSFQVw5s+hwmg4EI4ifVtFla2InwQPwr3gZ2p19u+D/1PrwkywAfUOJhz0Rj++3ZtOUO9SqM18dKc+ZX1lzhmTjSvlfXNgFBdQw2Ae4t6H78lFQ6WpRKPA0FEgDn7o7Ov0tIcK4GzOpsq7MK6hqiP73UHnLsZXovybhJuAFwAT4WIc0pKEsZ4pcBzF/1qp4m8BqO3D4Lf2HwHzYlEgCnSiQN6D70ScLIoCHShwK/ntfgYWZ+4Fs786twJxp5T3h2OgOt1MMlYogFbPEJ+mSBuS9x7BZ4o80v7U7dfRdE7Ct0n7SeBYFIgCXSiQEXwXAmVxFGiigA/hbYPDafwZWH+m9S7yh+OE7ib+5yZ1B1QW2+qDhNdBeS4wXs87qrsbS/lr4YpqedLzwvvgr+xNsaGp38OPc59iJdPAUFGg/KceKh1OP6NAHyhwCW34edoJcD/owA7F+Xj/+AC4Aaemg/8F7AUD2fyp24/DTysb6T3w+cEHDHtiq9PvbXpSIWWjQBToPwXi4PtP27TcAgrgtKcHnwQvjfRr4DfSF4YViPsDM7WRJeER8BHy1yYcAU7nD1hj+55n43zvfz+c87KwPHEfituKZbU+kbcW3AEvwrngTIWvC/rxn1vgFZKfhFPhYNILELYz8m3H+s/Dn2DBdoWSEQWiQJ8pEAffZ1KmoaGmAA5wkjTrN/neWx4Uxrb+iQ09Fw6BX8Hh5NUecsMJz0f6QjgMloaXoJiV8EG3C8DRvjMa68BY+A20MdpZjAzLihcRXjycDLEoEAX6SYE4+H4SNs1GgUGmwPfZ3lVBZ71fZds3Iu7tBh2zFzMHwldBewdWBt8UeAIc+e8PfhPAd9mr5vcC7uLCYSw8TtzbF1+knOuLRYEo0A8KxMH3g6hpMgoMNgVwus+yzVfBWcTfqmz/cOJ+WObeOtcTzoVjXoRwV5gBxsMq8Fnqvkb4AxgDw6CwEURuKRKUe4C43xrwNkcsCkSBflAgDr4fRE2TUaCFFNB534RDXqiAtKN2R+yO4DcG76Wb9hff5qXchcR99uCXUJgXEJ8oEpRbiPg84LvtsSgQBfpBgTj4fhA1TUaBLhT4D8sf66JMR4sfZcHUvL9/Jev7NA55JTeIcHOCS8Fzx1j4Lg7dB/WeBh3+NKD9EL5ci03+cxnBGtRfBqy7PdxNXe/px6JAFOgHBfKhm34QNU1Ggc4UwKkd09nyzpZRV8c41Yz1vY5D3psVXk84kdCH43Yk/13S3kf/PaHO/KNwBvmO1P1YjT+447382iie9K2k9yc9Hpya17FvCLEoEAX6SYFp+Mfrp6bTbBSIAq2iAM7Zd/3n4nyhc25jLJubjFdY5gi+U6Osg4phzdrptGIWRoEo0GMF4uB7LFkqRIEoEAWiQBQY+Ap4LywWBaJAHyjgSBaegB9VmyPtB2FehjWr+R3FKTcf+InX71XLkN4Rzq3mJR4FokAU6EiBOPiOlEl+FOihAkw7v0AVvwp3CI54WasTzkAwDo5n+XXm9cD2o35eI+uBYCkaBaLAfxWIg/+vFolFgSlWACd+Po2cB/6Ii/9fPqA2G/gRGB2+9nN4HCbCz6D25DnBFvAoxXznXPs9+D55O6OcPwjja2m3g+3sA/l/bqdUMqLA0FUgT9EP3X2fnvefAn7o5V/gj7XsAuvh+N8g1LYAXzVbH/z/OwmuxDnfQagzXwNegQfAOkuybCT1zyJetZ1J7Ajbgu2MBZ9yPwFiUSAKRIHau6yRIQpEgT5UAGfsk+aj4UA4ivRtlea3Iq5TfxAcqZ8IOntfZ3EEvi7MBL5qdgCBjvxonLxPqldtUxInUGY83ER8LHjxEIsCUSAK1BTIlF4OhCjQDwrgdM+m2XdhXEPzfuJ1d9C5i/GVKP8m4SbgBcA/wen8Jcm/huiVcLh5FRtB/OZK2nju11cESTQKDHUFMkU/1I+A9H9qK3ArK7wOx328K8aJz04wHaEX238nfwXiqxP3m+9+EGc92A3ugTmgsGeJLAO1X30jXA4eglgUiAJRoKZARvA5EKLA1FXAh/C2wYn7Sp0P1/0RvE/vb6zfRdZwQkf2peH0nybhw3p+972wy4iMovww8JvuI+HGYmHCKBAFokAcfI6BKDB1FbiE1fnb6RPgfvALcYfWnbj33G8AR+/aXpOD2t/j+FuM1s04CJzWfxgc3T8C5sWiQBSIAjUF8iW7HAhR4ANQgFH3bK4Wxz6pcfUsm4/8Zxrzm6UpOyf5b1Peb8THokAUiAKlAnHwpRSJRIEoEAWiQBRoHQUyRd86+zI9iQJRIApEgShQKhAHX0qRSBSIAlEgCkSB1lEgDr519mV6EgWiQBSIAlGgVCAOvpQikSgQBaJAFIgCraNAHHzr7Mv0JApEgSgQBaJAqUAcfClFIlEgCkSBKBAFWkeBOPjW2ZfpSRSIAlEgCkSBUoE4+FKKRKJAFIgCUSAKtI4CcfCtsy/TkygQBaJAFIgCpQJx8KUUiUSBKBAFokAUaB0F4uBbZ1+mJ1EgCkSBKBAFSgXi4EspEokCUSAKRIEo0DoKxMG3zr5MT6JAFIgCUSAKlArEwZdSJBIFokAUiAJRoHUUiINvnX2ZnkSBKBAFokAUKBWIgy+lSCQKRIEoEAWiQOsoEAffOvsyPYkCUSAKRIEoUCoQB19KkUgUiAJRIApEgdZRIA6+dfZlehIFokAUiAJRoFQgDr6UIpEoEAWiQBSIAq2jQBx86+zL9CQKRIEoEAWiQKlAHHwpRSJRIApEgSgQBVpHgTj41tmX6UkUiAJRIApEgVKBOPhSikSiQBSIAlEgCrSOAnHwrbMv05MoEAWiQBSIAqUCcfClFIlEgSgQBaJAFGgdBeLgW2dfpidRIApEgSgQBUoF4uBLKRKJAlEgCkSBKNA6CsTBt86+TE+iQBSIAlEgCpQKxMGXUiQSBaJAFIgCUaB1FIiDb519mZ5EgSgQBaJAFCgViIMvpUgkCkSBKBAFokDrKBAH3zr7Mj2JAlEgCkSBKFAqEAdfSpFIFIgCUSAKRIHWUSAOvnX2ZXoSBaJAFIgCUaBUIA6+lCKRKBAFokAUiAKto0AcfOvsy/QkCkSBKBAFokCpQBx8KUUiUSAKRIEoEAVaR4E4+NbZl+lJFIgCUSAKRIFSgTj4UopEokAUiAJRIAq0jgJx8K2zL9OTKBAFokAUiAKlAnHwpRSJRIEoEAWiQBRoHQXi4FtnX6YnUSAKRIEoEAVKBeLgSykSiQJRIApEgSjQOgrEwbfOvkxPokAUiAJRIAqUCsTBl1IkEgWiQBSIAlGgdRSIg2+dfZmeRIEoEAWiQBQoFYiDL6VIJApEgSgQBaJA6ygQB986+zI9iQJRIApEgShQKhAHX0qRSBSIAlEgCkSB1lEgDr519mV6EgWiQBSIAlGgVCAOvpQikSgQBaJAFIgCraNAHHzr7Mv0JApEgSgQBaJAqUAcfClFIlEgCkSBKBAFWkeBOPjW2ZfpSRSIAlEgCkSBUoE4+FKKRKJAFIgCUSAKtI4CcfCtsy/TkygQBaJAFIgCpQJx8KUUiUSBKBAFokAUaB0F4uBbZ1+mJ1EgCkSBKBAFSgXi4EspEokCUSAKRIEo0DoKxMG3zr5MT6JAFIgCUSAKlArEwZdSJBIFokAUiAJRoHUUiINvnX2ZnkSBKBAFokAUKBWIgy+lSCQKRIEoEAWiQOsoEAffOvsyPYkCUSAKRIEoUCoQB19KkUgUiAJRIApEgdZRIA6+dfZlehIFokAUiAJRoFQgDr6UIpEoEAWiQBSIAq2jQBx86+zL9CQKRIEoEAWiQKlAHHwpRSJRIApEgSgQBVpHgTj41tmX6UkUiAJRIApEgVKBOPhSikSiQBSIAlEgCrSOAnHwrbMv05MoEAWiQBSIAqUC/x9tszRog8C7mQAAAABJRU5ErkJggg==" alt="plot of chunk unnamed-chunk-2"/> </p>
<p>For a detailed summary of the tree, print it:</p>
<pre><code class="r">tree.carseats
</code></pre>
<pre><code>## node), split, n, deviance, yval, (yprob)
## * denotes terminal node
##
## 1) root 400 500 No ( 0.59 0.41 )
## 2) ShelveLoc: Bad,Medium 315 400 No ( 0.69 0.31 )
## 4) Price < 92.5 46 60 Yes ( 0.30 0.70 )
## 8) Income < 57 10 10 No ( 0.70 0.30 )
## 16) CompPrice < 110.5 5 0 No ( 1.00 0.00 ) *
## 17) CompPrice > 110.5 5 7 Yes ( 0.40 0.60 ) *
## 9) Income > 57 36 40 Yes ( 0.19 0.81 )
## 18) Population < 207.5 16 20 Yes ( 0.38 0.62 ) *
## 19) Population > 207.5 20 8 Yes ( 0.05 0.95 ) *
## 5) Price > 92.5 269 300 No ( 0.75 0.25 )
## 10) Advertising < 13.5 224 200 No ( 0.82 0.18 )
## 20) CompPrice < 124.5 96 40 No ( 0.94 0.06 )
## 40) Price < 106.5 38 30 No ( 0.84 0.16 )
## 80) Population < 177 12 20 No ( 0.58 0.42 )
## 160) Income < 60.5 6 0 No ( 1.00 0.00 ) *
## 161) Income > 60.5 6 5 Yes ( 0.17 0.83 ) *
## 81) Population > 177 26 8 No ( 0.96 0.04 ) *
## 41) Price > 106.5 58 0 No ( 1.00 0.00 ) *
## 21) CompPrice > 124.5 128 200 No ( 0.73 0.27 )
## 42) Price < 122.5 51 70 Yes ( 0.49 0.51 )
## 84) ShelveLoc: Bad 11 7 No ( 0.91 0.09 ) *
## 85) ShelveLoc: Medium 40 50 Yes ( 0.38 0.62 )
## 170) Price < 109.5 16 7 Yes ( 0.06 0.94 ) *
## 171) Price > 109.5 24 30 No ( 0.58 0.42 )
## 342) Age < 49.5 13 20 Yes ( 0.31 0.69 ) *
## 343) Age > 49.5 11 7 No ( 0.91 0.09 ) *
## 43) Price > 122.5 77 60 No ( 0.88 0.12 )
## 86) CompPrice < 147.5 58 20 No ( 0.97 0.03 ) *
## 87) CompPrice > 147.5 19 30 No ( 0.63 0.37 )
## 174) Price < 147 12 20 Yes ( 0.42 0.58 )
## 348) CompPrice < 152.5 7 6 Yes ( 0.14 0.86 ) *
## 349) CompPrice > 152.5 5 5 No ( 0.80 0.20 ) *
## 175) Price > 147 7 0 No ( 1.00 0.00 ) *
## 11) Advertising > 13.5 45 60 Yes ( 0.44 0.56 )
## 22) Age < 54.5 25 30 Yes ( 0.20 0.80 )
## 44) CompPrice < 130.5 14 20 Yes ( 0.36 0.64 )
## 88) Income < 100 9 10 No ( 0.56 0.44 ) *
## 89) Income > 100 5 0 Yes ( 0.00 1.00 ) *
## 45) CompPrice > 130.5 11 0 Yes ( 0.00 1.00 ) *
## 23) Age > 54.5 20 20 No ( 0.75 0.25 )
## 46) CompPrice < 122.5 10 0 No ( 1.00 0.00 ) *
## 47) CompPrice > 122.5 10 10 No ( 0.50 0.50 )
## 94) Price < 125 5 0 Yes ( 0.00 1.00 ) *
## 95) Price > 125 5 0 No ( 1.00 0.00 ) *
## 3) ShelveLoc: Good 85 90 Yes ( 0.22 0.78 )
## 6) Price < 135 68 50 Yes ( 0.12 0.88 )
## 12) US: No 17 20 Yes ( 0.35 0.65 )
## 24) Price < 109 8 0 Yes ( 0.00 1.00 ) *
## 25) Price > 109 9 10 No ( 0.67 0.33 ) *
## 13) US: Yes 51 20 Yes ( 0.04 0.96 ) *
## 7) Price > 135 17 20 No ( 0.65 0.35 )
## 14) Income < 46 6 0 No ( 1.00 0.00 ) *
## 15) Income > 46 11 20 Yes ( 0.45 0.55 ) *
</code></pre>
<p>Lets create a training and test set (250,150) split of the 400 observations, grow the tree on the training set, and evaluate its performence on the test set.</p>
<pre><code class="r">set.seed(1011)
train = sample(1:nrow(Carseats), 250)
tree.carseats = tree(High ~ . - Sales, Carseats, subset = train)
plot(tree.carseats)
text(tree.carseats, pretty = 0)
</code></pre>
<p><img src="data:image/png;base64,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" alt="plot of chunk unnamed-chunk-4"/> </p>
<pre><code class="r">tree.pred = predict(tree.carseats, Carseats[-train, ], type = "class")
with(Carseats[-train, ], table(tree.pred, High))
</code></pre>
<pre><code>## High
## tree.pred No Yes
## No 72 27
## Yes 18 33
</code></pre>
<pre><code class="r">(72 + 33)/150
</code></pre>
<pre><code>## [1] 0.7
</code></pre>
<p>This tree was grown to full depth, and might be too variable. We now use CV to prune it.</p>
<pre><code class="r">cv.carseats = cv.tree(tree.carseats, FUN = prune.misclass)
cv.carseats
</code></pre>
<pre><code>## $size
## [1] 20 14 13 10 9 7 6 5 2 1
##
## $dev
## [1] 65 65 57 57 59 64 64 59 78 104
##
## $k
## [1] -Inf 0.000 1.000 1.333 2.000 2.500 4.000 5.000 9.000 31.000
##
## $method
## [1] "misclass"
##
## attr(,"class")
## [1] "prune" "tree.sequence"
</code></pre>
<pre><code class="r">plot(cv.carseats)
</code></pre>
<p><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAfgAAAH4CAYAAACmKP9/AAAEJGlDQ1BJQ0MgUHJvZmlsZQAAOBGFVd9v21QUPolvUqQWPyBYR4eKxa9VU1u5GxqtxgZJk6XtShal6dgqJOQ6N4mpGwfb6baqT3uBNwb8AUDZAw9IPCENBmJ72fbAtElThyqqSUh76MQPISbtBVXhu3ZiJ1PEXPX6yznfOec7517bRD1fabWaGVWIlquunc8klZOnFpSeTYrSs9RLA9Sr6U4tkcvNEi7BFffO6+EdigjL7ZHu/k72I796i9zRiSJPwG4VHX0Z+AxRzNRrtksUvwf7+Gm3BtzzHPDTNgQCqwKXfZwSeNHHJz1OIT8JjtAq6xWtCLwGPLzYZi+3YV8DGMiT4VVuG7oiZpGzrZJhcs/hL49xtzH/Dy6bdfTsXYNY+5yluWO4D4neK/ZUvok/17X0HPBLsF+vuUlhfwX4j/rSfAJ4H1H0qZJ9dN7nR19frRTeBt4Fe9FwpwtN+2p1MXscGLHR9SXrmMgjONd1ZxKzpBeA71b4tNhj6JGoyFNp4GHgwUp9qplfmnFW5oTdy7NamcwCI49kv6fN5IAHgD+0rbyoBc3SOjczohbyS1drbq6pQdqumllRC/0ymTtej8gpbbuVwpQfyw66dqEZyxZKxtHpJn+tZnpnEdrYBbueF9qQn93S7HQGGHnYP7w6L+YGHNtd1FJitqPAR+hERCNOFi1i1alKO6RQnjKUxL1GNjwlMsiEhcPLYTEiT9ISbN15OY/jx4SMshe9LaJRpTvHr3C/ybFYP1PZAfwfYrPsMBtnE6SwN9ib7AhLwTrBDgUKcm06FSrTfSj187xPdVQWOk5Q8vxAfSiIUc7Z7xr6zY/+hpqwSyv0I0/QMTRb7RMgBxNodTfSPqdraz/sDjzKBrv4zu2+a2t0/HHzjd2Lbcc2sG7GtsL42K+xLfxtUgI7YHqKlqHK8HbCCXgjHT1cAdMlDetv4FnQ2lLasaOl6vmB0CMmwT/IPszSueHQqv6i/qluqF+oF9TfO2qEGTumJH0qfSv9KH0nfS/9TIp0Wboi/SRdlb6RLgU5u++9nyXYe69fYRPdil1o1WufNSdTTsp75BfllPy8/LI8G7AUuV8ek6fkvfDsCfbNDP0dvRh0CrNqTbV7LfEEGDQPJQadBtfGVMWEq3QWWdufk6ZSNsjG2PQjp3ZcnOWWing6noonSInvi0/Ex+IzAreevPhe+CawpgP1/pMTMDo64G0sTCXIM+KdOnFWRfQKdJvQzV1+Bt8OokmrdtY2yhVX2a+qrykJfMq4Ml3VR4cVzTQVz+UoNne4vcKLoyS+gyKO6EHe+75Fdt0Mbe5bRIf/wjvrVmhbqBN97RD1vxrahvBOfOYzoosH9bq94uejSOQGkVM6sN/7HelL4t10t9F4gPdVzydEOx83Gv+uNxo7XyL/FtFl8z9ZAHF4bBsrEwAAMllJREFUeAHt3Qu4bWVZL3BXbDYoN7klJ288qNxKE6/hLdBQA0+H1MxL6kE8UaKHVPLU8cnSElMzUSq1joY3TFIzL9XRFA+llJoEongDFZRElJt7b27COv+X1vRZrL3m2mOuPdaaY4z5+57n3WPMMb85xvv9vjnXO+eYlz03Pz9/O40AAQIECBAYlsCPDWs4RkOAAAECBAiUgALvfkCAAAECBAYooMAPcFINiQABAgQIKPDuAwQIECBAYIACCvwAJ9WQCBAgQICAAu8+QIAAAQIEBiigwA9wUg2JAAECBAgo8O4DBAgQIEBggAIK/AAn1ZAIECBAgIAC7z5AgAABAgQGKKDAD3BSDYkAAQIECCjw7gMECBAgQGCAAgr8ACfVkAgQIECAgALvPkCAAAECBAYooMAPcFINiQABAgQIKPDuAwQIECBAYIACCvwAJ9WQCBAgQICAAu8+QIAAAQIEBiigwA9wUg2JAAECBAgo8O4DBAgQIEBggAIK/AAn1ZAIECBAgIAC7z5AgAABAgQGKKDAD3BSDYkAAQIECCjw7gMECBAgQGCAAgr8ACfVkAgQIECAgALvPkCAAAECBAYooMAPcFINiQABAgQIKPDuAwQIECBAYIACCvwAJ9WQCBAgQICAAu8+QIAAAQIEBiigwA9wUg2JAAECBAgo8A3uA3Nzczs26KYLAQIdFMjjt9oOHUxNSgMRyP3rTonO1YmZLvD1oE+8NnFu4ouJ5y+9v2XbU7LtnKXbR5dz/Z6JMxNfTXw+8ZDRdbO6jMEDEpcsiTsv9cj1U7HLcXdMvDrx2YV4RZYbl+ZXl7P9M4nFYzlhuX5tb8sxD028K3Fe4mOJX17uGNk+FcPlcunitvjU37gzE785Lr/0OSLxz4mvJ/4msee4vrbPhkDuAw9KfG9bo02fvRJfTb+zEkduq/96Xz/TBT7YJybulrh/4oGJkzNZP5Nl/WGvP5x/ktXX1cXaNqa9KdvPTxyYeF7ifbnd7bOc5faADP6jiYMXxWXLgEzL7pnJ5R6Jwxfi0CyfkbhNyzzunQ3V75DEaCxvvk2ntbtwanb99/Pz8z+d5dMTr08+d1rmcNMyXCaVbm2KVz2u/1/iUeMyS599ct0Zieck6jH89cRrEhqBJgJ1H9uSx+mhiY80ucF69pn1Al9/HP97JuaWLCs2Jkan8uqPwpZEFYOV2mNz5Z9lH9U+kfVvJR6WmOV23wz+XxM/ntg3LvUAmF8GZFp25yWX30xKN1Vk/YuJhy6TX43j3xL1BO9eiRvT/4dZrmlL0anH5Z8l3lUHyjHrydEPEvery0vatAyXpNHJi/XYfX3iVscxGdaT0QtjfP7CfeG0XH78mL42z6BAHo/3Trw18brE9xP/nrhPop58vyVxr6zX35TOtZku8HlA35D4QSbnyZmZf0p8OHHr6fhsf0/iRbl8XWLZltvVqbyd0u/KRR2+k/UqbLPcqjCenKhntN+I0yuXYkzTLvP1mcRFlVPy2CWLpyY+VJeXtBrHTyY+m/hU4tPpf8cs17Qlt1sS70/Uk4/KsZ5s1n3t1vtmbas2TcP/zKDb/8bvfyb+ehtZ3i3X/8eiPpdnfY/Y7rRom9XZFtg5w/+VRP2d/6lEPQ5PSVyQeGHi3xM/m+hcm+kCv2g26tVlvYqrZ/N1OrZp2zsdNy/pXE8Idl2ybdYu1qve4/PH9cAs61Xn8/IHc98lCFO3S04bk9NfJargv3dJfnWxnqydmusOzvKuiS2JJyXWrSXHMnx74rnJ4+olB5664ZJ8+nhxqeHoCf0d+jgYOa+ZwLV5/L00UU8G62/G/lm/OctNiR8u89jM5uk3BT5zkMl5d+IZWf1k4rkTTMv30nf3Jf3r8mVLts3UxViemKgzImV7bhbluvS051TtFor7+5LXDol6Bb9VS+7vTLyqrsiynr2/LbFuBT451hOLTyReluO/K8ulbaqGS5Pp6eWlhrtlHNfH+6qejkfaqxDIY+3KxI0L8dhldvHdRdvqRd2GRZc7uzrTBT6T+azEgxfNzheyXu+1Nmr5I1CvqK7LPu6y6Ab7Z/2SRZdnajUWOyd+t5aLBl6vhq5YdLkK5tTskls9OOtZeBX3xyeXGxfnNlpPv6clHji6nOXtE7cZx6LrWl3NcQ/IDv8x8fLk98bldj5Nw+Xy6em2+szM/otyr/VLF122OhsCR2aY9QHrik8tM+TlPkO0TLdubZrpAp+p2Jh4Wf3BT9wx6/Uq/hOJFVv6HpHYZ6HTmVm+aGEfT8j6LYk63T+TLUXn+gz8kYnjCyAu9QTqsES9H1+Xu2D33KRyj8SzEndITvVVl12zXvkdkvipWk+r971PyeX6Wl2dyq1Ps38gsR7t7TnIOxP1VbnKr6Lur10xrFR62eJY35D5uYXkP57lAbn8qES97/7CxHJv1yx0txiiQP5unZf43EJcO5QxznqBf1smsk7RXZj4TOJjiT9KbKvVq78HLXT6/Szr2d83E/Vhsl/PneTWD0dlfVbbb2fgT80fzK9k+Q+Jej++3quq1gW730ge90lclvj+Qrw7y2rPSdQf+WqnJ0b3j69l/bzEmv/xj1udNXhI4kWJUX61fEqiWhcM/zOTfv5776T9t5V67pc3ZPHcxPsTFyXumnh5QiPQe4G53MF7P4jtHUD+oO6SfdQn6n+42n1lH/V1sHU5fbvaHNf7djHZK8e8Oi51VmNs67pd8qu3GKoYbBk7iClf0XXDKfNs8/Dxq7dtdssce+99m1o69EVAge/LTMmTAAECBAhMIDDrp+gnoNKVAAECBAj0R0CB789cyZQAAQIECDQWUOAbU+lIgAABAgT6I6DA92euZEqAAAECBBoLKPCNqXQkQIAAAQL9EVDg+zNXMiVAgAABAo0FFPjGVDoSIECAAIH+CCjwDecqP4Txqw27NurW9v4aHXSKnTLe+qnV+inf1lrbhtnfcYn6wZNOtuR2UOIRbSWXfdXP9D6trf31YT8Z78MSk/yPkSsOK/vaP3HUip1c2XuBzHGrf//XC0SBby791OZdG/Vse3+NDjrFTvVb/0e3fPy2DX8p+e3Yco5t7q5+P3/xf460vfuuX+g7dnt30rPb109M37PFnOs/mmrtSVeLedlVuwJt/61pN7sxe1Pgx8DYTIAAAQIE+iygwPd59uROgAABAgTGCCjwY2BsJkCAAAECfRZQ4Ps8e3InQIAAAQJjBBT4MTA2EyBAgACBPgt09itBa4Garzo8Mftd7Zjvkdu/tsW82t5fi6mtya52z14f1HHDg5PjK5PjzWsisP073T+72Dv5/cT27+rWPeycf3+65TlpKbU12839suerMuZHtnSEmou7Z3+7trQ/u+mmQH0d8smrTO278/PzH1/lbbfrZqstdtt10GncOJNT38F+QeKtqzz+RbndnVZ52+VudnHL+1vuGF3aVve1y1sec9uGlyS/fRPziS62uSS1KdHW/bDO4H2rxf1lV51vm5NhObZlWF+rvLrF/WVXWgcFLkxOe6wyr99J/Xlaivy/r/L2q77ZzBT4CNVY3xbkN61Sa7W3W+Xh3IwAAQIE+i6Q4n5gxjCVt8OnctC+T5j8CRAgQIBA1wUU+K7PkPwIECBAgMAqBBT4VaC5CQECBAgQ6LqAAt/1GZIfAQIECBBYhYACvwo0NyFAgAABAl0XUOC7PkPyI0CAAAECqxBQ4FeB5iYECBAgQKDrAgp812dIfgQIECBAYBUCCvwq0NyEAAECBAh0XUCB7/oMyY8AAQIECKxCQIFfBZqbECBAgACBrgvM0m/Rb9dc5PeEj80OHrxdO7ntja/Ixdflt/G7+j+X3TZblwgQIECgVwIKfPPpOi9d639Da6udlh29PVGFXiNAgAABAq0KKPANOfNK++vpWtFKyxmB+q9ONQIECBAgsCYC3oNfE1Y7JUCAAAEC0xVQ4Kfr7+gECBAgQGBNBBT4NWG1UwIECBAgMF0BBX66/o5OgAABAgTWRECBXxNWOyVAgAABAtMVUOCn6+/oBAgQIEBgTQQU+DVhtVMCBAgQIDBdAQV+uv6OToAAAQIE1kRAgV8TVjslQIAAAQLTFVDgp+vv6AQIECBAYE0EFPg1YbVTAgQIECAwXQEFfrr+jk6AAAECBNZEQIFfE1Y7JUCAAAEC0xVQ4Kfr7+gECBAgQGBNBBT4NWG1UwIECBAgMF0BBX66/o5OgAABAgTWRECBXxNWOyVAgAABAtMV6FyBn5ub25DYc7osjk6AAAECBPot0IkCn4K+MXFK4tJw3pi4MuubExckjus3sewJECBAgMD6C2xY/0Mue8TTsnW/xDGJixObE7snDk2cmiK/8/z8/BuyrhEgQIAAAQINBDrxCj55PjpxQor4+YlNiWrXJM7J9pMSxyY0AgQIECBAoKFAVwr8Bcn3yDE5Py7brxhznc0ECBAgQIDAMgJdOUX/kuR2Rk7FPz/LixLXJvZIHJKoHI9OaAQIECBAgEBDgU4U+JyKPzfF/bDkfHhi/0S9H1+v2ut997PrfH2WGgECBAgQINBQoBMFvnJNDb8+i7NS6Cun3XL5qtquESBAgAABApMLdOI9+BR1X5ObfO7cggABAgQIjBXoyiv4Vr4mlycKB2ek9xwz2odn+5Yx19lMgAABAgQGJdCVAl9fkzs8p+W/s0j3mqyfk6JdX5N7aaLJ9+D3Tb+DEsu1e2djfb9eI0CAAAECgxfoSoEffU3uXcuIN/6aXJ4g/FNuX7FVyxOFu2Tjnba6wgYCBAgQIDBAga4UeF+TG+Cdy5AIECBAYHoCnSjweeXta3LTuw84MgECBAgMUKATBb5cU+Rv/ZrcAI0NiQABAgQIrLtAJ74mt+6jdkACBAgQIDBwgU68gs8H4F4Y5x1XsP5SXuG/f4XrXUWAAAECBAgsEuhEgU8++yeem3hrYrmvsvnPZgKjESBAgACBpgKdKPB5df68vIqvtwt+LOsnNk1ePwIECBAgQGB5gS69B/+/kuLuKfS7Lp+qrQQIECBAgEBTgU68gq9k88p9UxZPa5q4fgQIECBAgMB4gS69gh+fpWsIECBAgACBiQQU+Im4dCZAgAABAv0QUOD7MU+yJECAAAECEwko8BNx6UyAAAECBPohoMD3Y55kSYAAAQIEJhJQ4Cfi0pkAAQIECPRDQIHvxzzJkgABAgQITCSgwE/EpTMBAgQIEOiHgALfj3mSJQECBAgQmEhAgZ+IS2cCBAgQINAPAQW+H/MkSwIECBAgMJGAAj8Rl84ECBAgQKAfAgp8P+ZJlgQIECBAYCIBBX4iLp0JECBAgEA/BBT4fsyTLAkQIECAwEQCCvxEXDoTIECAAIF+CCjw/ZgnWRIgQIAAgYkEFPiJuHQmQIAAAQL9EFDg+zFPsiRAgAABAhMJKPATcelMgAABAgT6IaDA92OeZEmAAAECBCYSUOAn4tKZAAECBAj0Q0CB78c8yZIAAQIECEwkoMBPxKUzAQIECBDoh4AC3495kiUBAgQIEJhIQIGfiEtnAgQIECDQDwEFvh/zJEsCBAgQIDCRgAI/EZfOBAgQIECgHwIKfD/mSZYECBAgQGAiAQV+Ii6dCRAgQIBAPwQU+H7MkywJECBAgMBEAgr8RFw6EyBAgACBfggo8P2YJ1kSIECAAIGJBBT4ibh0JkCAAAEC/RBQ4PsxT7IkQIAAAQITCSjwE3HpTIAAAQIE+iGgwPdjnmRJgAABAgQmElDgJ+LSmQABAgQI9ENAge/HPMmSAAECBAhMJKDAT8SlMwECBAgQ6IeAAt+PeZIlAQIECBCYSECBn4hLZwIECBAg0A8BBb4f8yRLAgQIECAwkYACPxGXzgQIECBAoB8CCnw/5kmWBAgQIEBgIgEFfiIunQkQIECAQD8EFPh+zJMsCRAgQIDARAIK/ERcOhMgQIAAgX4IKPD9mCdZEiBAgACBiQQU+Im4dCZAgAABAv0QUOD7MU+yJECAAAECEwko8BNx6UyAAAECBPohoMD3Y55kSYAAAQIEJhJQ4Cfi0pkAAQIECPRDQIHvxzzJkgABAgQITCSgwE/EpTMBAgQIEOiHQOcK/Nzc3IbEnv3gkyUBAgQIEOimQCcKfAr6xsQpiUvDdGPiyqxvTlyQOK6bdLIiQIAAAQLdFdjQkdROSx77JY5JXJzYnNg9cWji1BT5nefn59+QdY0AAQIECBBoINCJV/DJ89GJE1LEz09sSlS7JnFOtp+UODahESBAgAABAg0FulLgL0i+R47J+XHZfsWY62wmQIAAAQIElhHoyin6lyS3M3Iq/vlZXpS4NrFH4pBE5Xh0Ypstt6/T+ruN6bhLtu8w5jqbCRAgQIDAoAQ6UeBzKv7cFOfDInt44sDE3ROfSdT77mfX+fosm7SfT6f/Oqbj/bP9sjHX2UyAAAECBAYl0IkCn+Jer6xflnhq4s6JGxLXJy5JvDjxwcQ2W54HvDudKrZqOcZrs/FOW11hAwECBAgQGKBAJwp8XF+R2DdxVKK+A/97id9J3JJ4XYpzfYr+r7OuESBAgAABAg0EuvIhu/og3W+kiF+Y+FTWX584Met1mv74xJMTGgECBAgQINBQoCsF/gvJd/Gn6H8ml+tHb6rV+/HX3LrmHwIECBAgQKCRQFdO0Z+abD+YU/H1nfedEvdM3C+Xj8nyjYknJjQCBAgQIECgoUAnCnxOxX8yxfwnkvMvJLYk/m+23ZRtN2X9wKxfl6VGgAABAgQINBToRIGvXFPE61PzZy7OO9suX3zZOgECBAgQINBMoCvvwTfLVi8CBAgQIECgkYAC34hJJwIECBAg0C8BBb5f8yVbAgQIECDQSECBb8SkEwECBAgQ6JeAAt+v+ZItAQIECBBoJKDAN2LSiQABAgQI9EtAge/XfMmWAAECBAg0ElDgGzHpRIAAAQIE+iWgwPdrvmRLgAABAgQaCSjwjZh0IkCAAAEC/RJQ4Ps1X7IlQIAAAQKNBBT4Rkw6ESBAgACBfgko8P2aL9kSIECAAIFGAgp8IyadCBAgQIBAvwQU+H7Nl2wJECBAgEAjAQW+EZNOBAgQIECgXwIKfL/mS7YECBAgQKCRgALfiEknAgQIECDQLwEFvl/zJVsCBAgQINBIQIFvxKQTAQIECBDol4AC36/5ki0BAgQIEGgkoMA3YtKJAAECBAj0S0CB79d8yZYAAQIECDQSUOAbMelEgAABAgT6JaDA92u+ZEuAAAECBBoJKPCNmHQiQIAAAQL9ElDg+zVfsiVAgAABAo0EFPhGTDoRIECAAIF+CSjw/Zov2RIgQIAAgUYCCnwjJp0IECBAgEC/BBT4fs2XbAkQIECAQCMBBb4Rk04ECBAgQKBfAgp8v+ZLtgQIECBAoJGAAt+ISScCBAgQINAvAQW+X/MlWwIECBAg0EhAgW/EpBMBAgQIEOiXgALfr/mSLQECBAgQaCSgwDdi0okAAQIECPRLQIHv13zJlgABAgQINBJYscDPzc3dObFjYrfESYlfbLRXnQgQIECAAIGpCmwYd/QU84fkuo8mDkq8JPGAxMZs32t+fv7NWdcIECBAgACBjgqs9Ar+V5LzsxOXJ56UeEaitj0xoREgQIAAAQIdFlipwO+RvK9IPDzx3bxqvyDLnRLXJjQCBAgQIECgwwJjT9En5w8nTk3skDg9p+YPzfKtiZcnNAIECBAgQKDDAmMLfF6xn5Gi/r3kfsfEexIHJH4928/KUiNAgAABAgQ6LDC2wC/k/IUsv5vYJXFM4pKERoAAAQIECHRcYGyB9yn6js+c9AgQIECAwAoCK33IzqfoV4BzFQECBAgQ6LLASgXep+i7PHNyI0CAAAECKwiMPUWf2/gU/QpwriJAgAABAl0WGFvgfYq+y9MmNwIECBAgsLLA2AJfN0uR/8iim38t61/Lh+9un+3XLdpulQABAgQIEOiYwNgCn0K+T3J9Y+Jeifqxm3q/fufEvySemtAIECBAgACBjgqs9CG75yfnOyT+IvGtRP2HM/UztackNAIECBAgQKDDAisV+Hsk79ckTk/cOafl69fsjku8MKERIECAAAECHRZYqcB/O3nfLYV9U5b138TuneWVtS2hESBAgAABAh0WGPsefHKu//P9nBT2+nDdBxIfSmxM/HVCI0CAAAECBDosMLbA55X7F1PcD0ruNyfOSfxa4urEmQmNAAECBAgQ6LDA2AJfOafIf2dR7n+yaN0qAQIECBAg0GGBrQp8XrWfnXzrv4gd1z6Swn/yuCu3d3uOXzntlmNctb37cnsCBAgQIDCrAlsV+EBU8d5xBZD6P+JbbSnq9d7+7yWenrhzIpvmtmT59cRrUuz/MkuNAAECBAgQaCiwVYFPMf103bYqbBZPTnw7287OxedkvX7Brn7opu12Wna4X6L+z/mLE5sTuycOTZyaY++cHN6QdY0AAQIECBBoILDS1+Qen9vXj92M3oevU/dPSTwz0XZ7dHZ4Qor4+YlNiWrXJOrDfScljm37gPZHgAABAgSGLLBSgf/5DPzFKbJfKYAsL8iiCv4T63LLrfZ95Jh9Pi7brxhznc0ECBAgQIDAMgJbnaJf1OebWX9M4qOLtv1s1uvnattu9TO4Z+RUfD2BuChRx6j/j/6QROV4dEIjQIAAAQIEGgqsVODfkn38Y4puvS9e77vfJ3GnRL2yb7Xl7MC5Oc5h2enhif0T9X58vWqv993PzvXzWW6zZR+/mk7j/iOc+unden9fI0CAAAECgxcYW+BTU7+dgvkzEfi5RP2Pcv8ncU6235Jl6y37vT47PWu04xy73j64Q7Y3Ku51u3T98ywqtmrZ32uzsZ6gaAQIECBAYPACK70HX4PfNVE/U/uniQck/lui9Zbiu3vi5MQHE0cmfiEHuTxxWdb/PFF5aAQIECBAgEBDgbGv4FNUH5J91Pvv9XO19R55Ffj6T2f2yivl+p36NttvZWf3TPxd4nWJyquK/JcTf5z4pcRfJjQCBAgQIECggcDYAp/b/kri2Yl6Jf2kxMMS1f8VibYLfJ0ZeFCeOGzOE4g6jb5P1usrcvV9/DpeFXkFvkA0AgQIECDQQGClU/T1Kfb6oNvDE99Nwa2vsu2UWItP0V+Y/R6VYl7HfETi/olRu09WPje6YEmAAAECBAhsW2ClV/Afzs1PTeyQOD3Ft35V7q2Jlyfabq/JDt+SOCDx+sRuOV4V/fMSdebgiIRGgAABAgQINBQYW+Dzir2+l16/O1//8cx7ElV8fz3bf/RJ91xupdXp+IUnEPX+/vezXmcKHpOoYx+Xbde1ciA7IUCAAAECMyKwVYFPcf3XjP1FifqQ3XELDn+wsKz3xP8+Bfek0eW2ltlnfR3u+7W/rN6QRX16XyNAgAABAgRWIbBVgc8+6sdivpGoX5T7SGJpu2rpBpcJECBAgACBbglsVeDz6rne9652TV6t/0eWP52oU+ajttVtRldYEiBAgAABAt0QGFusU9wfmhTfm/hBon5lbtTqVf0LRxcsCRAgQIAAge4JjC3wSfXpid/KK/rTu5e2jAgQIECAAIGVBFb6Hnz9b3J7rnRj1xEgQIAAAQLdFFjpFXx9N73+l7ejsvzCovTPy6v6dyy6bHV1AvW5hofH96bV3byXt/pk7jtX9jJzSRMgQKBnAisV+BMzlp0T9Xvwi9+Dn6WCtJbT+ers/MGJ+nrgLLRdMshfSPyPWRisMRIgQGDaAisV+PsmuZPziutvpp3kEI8f13/OuCpmouVMRd2fnjkTgzVIAgQIdEBgpffg64dmjskf5pX6dGAIUiBAgAABAgSWCqxUvPdN5/pf5DalyH818aWFOHXpTlwmQIAAAQIEuiWw0in6+s9m/m2ZdH1IahkUmwgQIECAQJcExhb4vEd8aRKt0AgQIECAAIGeCax0ir5nQ5EuAQIECBAgMBJQ4EcSlgQIECBAYEACCvyAJtNQCBAgQIDASECBH0lYEiBAgACBAQko8AOaTEMhQIAAAQIjAQV+JGFJgAABAgQGJKDAD2gyDYUAAQIECIwEFPiRhCUBAgQIEBiQgAI/oMk0FAIECBAgMBJQ4EcSlgQIECBAYEACCvyAJtNQCBAgQIDASECBH0lYEiBAgACBAQko8AOaTEMhQIAAAQIjAQV+JGFJgAABAgQGJKDAD2gyDYUAAQIECIwEFPiRhCUBAgQIEBiQgAI/oMk0FAIECBAgMBJQ4EcSlgQIECBAYEACCvyAJtNQCBAgQIDASECBH0lYEiBAgACBAQko8AOaTEMhQIAAAQIjAQV+JGFJgAABAgQGJKDAD2gyDYUAAQIECIwEFPiRhCUBAgQIEBiQgAI/oMk0FAIECBAgMBJQ4EcSlgQIECBAYEACCvyAJtNQCBAgQIDASECBH0lYEiBAgACBAQko8AOaTEMhQIAAAQIjAQV+JGFJgAABAgQGJKDAD2gyDYUAAQIECIwEFPiRhCUBAgQIEBiQgAI/oMk0FAIECBAgMBJQ4EcSlgQIECBAYEACCvyAJtNQCBAgQIDASECBH0lYEiBAgACBAQko8AOaTEMhQIAAAQIjAQV+JGFJgAABAgQGJKDAD2gyDYUAAQIECIwEFPiRhCUBAgQIEBiQgAI/oMk0FAIECBAgMBJQ4EcSlgQIECBAYEACCvyAJtNQCBAgQIDASECBH0lYEiBAgACBAQko8AOaTEMhQIAAAQIjAQV+JGFJgAABAgQGJNC5Aj83N7chseeAjA2FAAECBAisu0AnCnwK+sbEKYlLI3Bj4sqsb05ckDhu3VUckAABAgQI9FxgQ0fyPy157Jc4JnFxYnNi98ShiVNT5Heen59/Q9Y1AgQIECBAoIFAJ17BJ89HJ05IET8/sSlR7ZrEOdl+UuLYhEaAAAECBAg0FOhKgb8g+R45JufHZfsVY66zmQABAgQIEFhGoCun6F+S3M7IqfjnZ3lR4trEHolDEpXj0QmNAAECBAgQaCjQiQKfU/HnprgflpwPT+yfqPfj61V7ve9+dp2vz3KbLft4Vjr98piOB2X7N8ZcZzMBAgQIEBiUQCcKfArzT0T18tTxs7ZT9625/TvG7OPV2b7vmOtsJkCAAAECgxLoRIGP6IcTW1Lon54iX5+iX1XLbW/ODSu2atn3LVtttIEAAQIECAxUoCsfsivezyc+lUL8gkS9/64RIECAAAECqxToUoH/i4zhYYmfT3wrRf6NiYcl6vvwGgECBAgQIDCBQJcK/O1yiv1riaOS/wMTmxJvT1yVIl/FXyNAgAABAgQaCnTlPfjbpJsi/6VsOLkixX2XLPe+TQcXCBAgQIAAgRUFulLgX5Us63fot2op9vWztRUaAQIECBAg0FCgEwU+RfxdDfPVjQABAgQIEGgg0Kn34BvkqwsBAgQIECDQQECBb4CkCwECBAgQ6JuAAt+3GZMvAQIECBBoIKDAN0DShQABAgQI9E1Age/bjMmXAAECBAg0EFDgGyDpQoAAAQIE+iagwPdtxuRLgAABAgQaCCjwDZB0IUCAAAECfRNQ4Ps2Y/IlQIAAAQINBBT4Bki6ECBAgACBvgko8H2bMfkSIECAAIEGAgp8AyRdCBAgQIBA3wQU+L7NmHwJECBAgEADAQW+AZIuBAgQIECgbwIKfN9mTL4ECBAgQKCBgALfAEkXAgQIECDQNwEFvm8zJl8CBAgQINBAQIFvgKQLAQIECBDom4AC37cZky8BAgQIEGggoMA3QNKFAAECBAj0TUCB79uMyZcAAQIECDQQUOAbIOlCgAABAgT6JqDA923G5EuAAAECBBoIKPANkHQhQIAAAQJ9E1Dg+zZj8iVAgAABAg0EFPgGSLoQIECAAIG+CSjwfZsx+RIgQIAAgQYCGxr00YUAAQIExgjMzc0dkqt2GnO1zcMQuGR+fv7Kvg1Fge/bjMmXAIHOCKS43z/JvCPxD51JSiJrIXBmdnrOWux4LfepwK+lrn0TIDB0gb0ywHfk1d3Lhz5Q4+ufgPfg+zdnMiZAgAABAtsUUOC3SaQDAQIECBDon4AC3785kzEBAgQIENimgAK/TSIdCBAgQIBA/wQU+P7NmYwJECBAgMA2BXyKfptEOnRRIF9P2iF5vTfR5n34luyvy096d05+L8snts/OUiNAgMCKAm3+cVzxQK4k0LLAxuzv9okntLjfrhf4R2es90so8C1Oul0RGKqAAj/UmZ2Ncd2SV7ObZmOot7tdzlrcPCtjNU4CBLZfoMunI7d/dPZAgAABAgRmVECBn9GJN2wCBAgQGLaAAj/s+TU6AgQIEJhRAQV+RifesAkQIEBg2AIK/LDn1+gIECBAYEYFFPgZnXjDJkCAAIFhCyjww55foyNAgACBGRVQ4Gd04g2bAAECBIYtoMAPe36NjgABAgRmVECBn9GJN2wCBAgQGLaAAj/s+TU6AgQIEJhRAQV+RifesAkQIEBg2AIK/LDn1+gIECBAYEYFFPgZnXjDJkCAAIFhCyjww55foyNAgACBGRVQ4Gd04g2bAAECBIYtoMAPe36NjgABAgRmVECBn9GJN2wCBAgQGLaAAj/s+TU6AgQIEJhRAQV+RifesAkQIEBg2AKdK/Bzc3MbEnsOm93oCBAgQIDA2gp0osCnoG9MnJK4NMO9MXFl1jcnLkgct7YE9k6AAAECBIYnsKEjQzoteeyXOCZxcWJzYvfEoYlTU+R3np+ff0PWNQIECBAgQKCBQCdewSfPRydOSBE/P7EpUe2axDnZflLi2IRGgAABAgQINBToSoG/IPkeOSbnx2X7FWOus5kAAQIECBBYRqArp+hfktzOyKn452d5UeLaxB6JQxKV49EJjQABAgQIEGgo0IkCn1Px56a4H5acD0/sn6j34+tVe73vfnadr89ymy37eGw6HTGm40Oz/aox19lMgAABAgQGJdCJAl+iqeHXZ3HWSLc+WJf1m5sW94XbfSHLcUX8ptrfQj8LAgQIECAwaIFOFPgU87tF+Q8Sr098M/GHiSckdsx1787y11Lo6+tzK7b0qa/ZVWzVsp/9s9H367eSsYEAAQIEhijQlQ/ZvSy4lyTqFfjzEvXE46cS90nslvidhEaAAAECBAg0FOjEK/jk+ojEwfUqPa+0fzHrx2b9WzWGXK7i/sZa1wgQIECAAIFmAl15Bf+VpPuMhZQ/keXiT83X1+S+unCdBQECBAgQINBAoCuv4E9Mrh/Kq/Xjs/xa4o+y/qwsb0nUL9rVK3yNAAECBAgQaCjQiQKf0/EXpaDXz9IelTgoUe/H16fh65X7h3P9D7PU+i+wa+Z53A8aTTq6Ovt010lvNID+e7RoWBzn5fF15QBcDIEAgSUCnSjwlVP+yNR33T+yELVJG5bAhRlOPWF7eIvDemmL++rDrj6WJB+UaMuwvopaZ8qentAIEBiYQGcK/MBcDWeJQJ6/3ZBNr1qy2cUJBGK4Kd1fPMFNVuyaMwF1tuwFK3ZyJQECvRWo05waAQIECBAgMDABBX5gE2o4BAgQIECgBBR49wMCBAgQIDBAAQV+gJNqSAQIECBAQIF3HyBAgAABAgMUUOAHOKmGRIAAAQIEFHj3AQIECBAgMEABBX6Ak2pIBAgQIEBAgXcfIECAAAECAxRQ4Ac4qYZEgAABAgQUePcBAgQIECAwQAEFfoCTakgECBAgQMB/NuM+QGB2Ba7L0B+R/3TmFTNEcEvG2uYLm92zv4tnyM9QeySgwPdosqRKoE2B/O90l6S4H5t97tXmfju+r7YLfA33cx0fs/RmVECBn9GJN2wCJZAi/2USBAgMU6DNU1XDFDIqAgQIECDQQwEFvoeTJmUCBAgQILAtAQV+W0KuJ0CAAAECPRRQ4Hs4aVImQIAAAQLbElDgtyXkegIECBAg0EMBBb6HkyZlAgQIECCwLQEFfltCridAgAABAj0UUOB7OGlSJkCAAAEC2xJQ4Lcl5HoCBAgQINBDAQW+h5MmZQIECBAgsC0BBX5bQq4nQIAAAQI9FJjLb1H3MO3JU85/qnHf3OrDiXMnv7VbtCBQ/+vW/RP1P5hp3RCYSxq3T2zpRjqyWBDYJcvNNDolsDHZnL3KjA7I7Y5Krf32Km+/6pvNTIFftZAbtiKQJ1h1J39x7uTHt7JDO9lugczJPtnJGzInv7TdO7ODVgQyJztlR3+bOXlsKzu0k1YEMi+fyJwc0crO1nEnTtGvI7ZDESBAgACB9RJQ4NdL2nEIECBAgMA6Cijw64jtUAQIECBAYL0EFPj1knYcAgQIECCwjgIK/DpiOxQBAgQIEFgvAQV+vaQdhwABAgQIrKOAr8mtI/YsHypfM9mQ8d8xXzX53iw7dGnsmZN6gr9P5uS7Xcpr1nPJvOyXOfnOrDt0afyZk/+SOfmPLuXUJBcFvomSPgQIECBAoGcCTtH3bMKkS4AAAQIEmggo8E2U9CFAgAABAj0TUOB7NmHSJUCAAAECTQQU+CZK+hAgQIAAgZ4JKPA9mzDpEiBAgACBJgIKfBMlfQgQIECAQM8EFPieTZh0CRAgQIBAEwEFvomSPgQGJJAf7dhxQMMZxFAyJxsSc4MYjEF0RkCB78xUDDeR/N36TOKSRXHCcEfb7ZFlDp6SDM9ZnGW2HZH458TXE3+T2HPx9dbXViDed80Rvpk4YHSkbHtAYvFjptbvPLrecm0EYrxj4tWJzy7EK7LcWEfLcs/EmYmvJj6feMjaZNHeXhX49iztaRmBPAj2zuZ7JA5JHLwQb85SW0eBzEP9cfqTHPJ1iR+9Usy2fXL5jMRzEgcmvp54TUJbB4H4H5/DnJXYd8nhHpDLH02MHjO1vGxJHxfbF3hmdll/rw5fiEOzfEai2psS5yfqcfK8xPsyf7fPsrNNge/s1AwmsftmJP+WqKJyr8SN+U3nH2apra/Ao3K4LYn6A7a4VSG5MHNyfuKmrJ+WePziDtbXRiDFYWP2/KTE0YmrlxylHjf/mvjxxL6Zmy2J+SV9XGxf4Lzs8jfrsVCR9S8mHrpwmMdm+Wc1D2mfyPq3Eg9LdLYp8J2dmsEkVn+ofjLx2cSnEp/OH7Y7Zqmto0D+IL0n8aIc8rolh71bLi/+TzQuz+U9Mkc7LennYssCmY96svuYxFeW2XU9bk5OfCTxjczHK5fpY1PLApmLzyQuqt3GfJcsnpr4UNbrbaudct2VWY7ad7JST8A62xT4zk7NYBKrB8GpeWDUKcZ6r3FL4kkJrRsC9RbK5kWpjJ4A3GHRNqvrL1BnvY7P46ZOB98v8bwUmaWn8dc/qxk5Yqzr7MpfJargvzfLpY+TkqjHyq610tWmwHd1ZgaSVx4c70y8qoaTZT37fVtCgS+QbrT673t3X5TKblm/PnN11aJtVtdZIP4nJv6pDpvluVl8MuGtkwJZ47ZQ3N+Xw+yQqFfw1ZY+TmpbPW4uq5WuNgW+qzMzkLzyYHla4oGLhlMfSrli0WWr0xWo9xH3X5RCrV+66LLVdRbI42XnxO/WctGh64yKx80ikLVYjfmG7LdeuVdxf3yeXN1Yx8ny6iyuy/V3qcsLbf8sLxld6OJSge/irAwrp3rv6pQ8MOrrJ3Wa6+mJDwxriL0ezceT/QGZm0cl6n33FybqlKQ2JYEUk+tz6Ecmjq8UMi8PzuKwRL0fr62twHOz+3sknpW4Q+z3SoxOw5+ZbS/K5frNgidk/ZbEFxOdbfVsRSOwlgKnZ+f1KdQLE1Xg69SXAhKELrQUkxvyx6r+qL0/cU3iK4kTE9p0BX47h6/vY5+UZb33Xu/Hb5puSjNx9N/IKO+eWHzq/e9y+ZjE7yc+mKjfLKj335+dOalP2ne2zSXBziYnseEI5A/VrR/ayv1ty3BGNZyRZH7qyf5umR/vvXdoWjMveyWdqzMv9WpR64BA5qS+ttiLt0sU+A7cYaRAgAABAgTaFvAefNui9keAAAECBDogoMB3YBKkQIAAAQIE2hZQ4NsWtT8CBAgQINABAQW+A5MgBQIECBAg0LaAAt+2qP0RIECAAIEOCCjwHZgEKRAgQIAAgbYFFPi2Re2PAAECBAh0QECB78AkSIEAAQIECLQtoMC3LWp/BAgQIECgAwIKfAcmQQoECBAgQKBtAQW+bVH7I0CAAAECHRBQ4DswCVIgQIAAAQJtCyjwbYvaHwECBAgQ6ICAAt+BSZACAQIECBBoW0CBb1vU/ggQIECAQAcEFPgOTIIUCBAgQIBA2wIKfNui9keAAAECBDogoMB3YBKkQIAAAQIE2hZQ4NsWtT8CAxCYm5t7ZeIPBjAUQyAwswJz8/PzMzt4AydAYHmBFPc75pr8eZi/ZvkethIg0HUBr+C7PkPyI7CGAinkByb+JfGDxOcShy8c7vgsj8vlQxNfWhJnVZ9s2zfxvsTVifMSj1i4rQUBAh0QUOA7MAlSIDBFgVNy7A8kfjzxl4k/TVSry/skvpp45EI8JsubEh9MVHtLol7hH5w4NVG31wgQ6IiAAt+RiZAGgSkJ/DDHvX/ioEQV9wcnftRyiv6mxGUV2fi/E1/O+h/n1fpeWT868arElsR7E5dl+32y1AgQ6ICAAt+BSZACgSkKvCDH3jHx6cSFiScltmop3M/KxiMTtax2l0R9gOfjiS8vxD2zfEhCI0CgAwIbOpCDFAgQmJ5AvYJ/QmK3xDMTb0sx/4csf9RyuV7hvzpxRF69X7twxZeyrNPz986279W29Nt3YVtd1AgQmLKAV/BTngCHJzBlgdNz/GenSF+Z5TsTNyTmEre2FO29s1Kn309Kn8//59ZbP15/Y9Y/ljgxfX4ssV/Wv5io9+M1AgQ6IOBrch2YBCkQmJZACnO9On9zYqdEfbDuD1PIX53tr8x6faDu8kR9gO6qRPUZFf+7Zf3uiXcvbL85yzfltnU7jQCBDggo8B2YBCkQmLZACvqeyeEHKdB1yn6iltvWqfnv5bb1nrxGgEBHBBT4jkyENAgQIECAQJsC3oNvU9O+CBAgQIBARwQU+I5MhDQIECBAgECbAgp8m5r2RYAAAQIEOiKgwHdkIqRBgAABAgTaFFDg29S0LwIECBAg0BEBBb4jEyENAgQIECDQpoAC36amfREgQIAAgY4IKPAdmQhpECBAgACBNgUU+DY17YsAAQIECHREQIHvyERIgwABAgQItCmgwLepaV8ECBAgQKAjAgp8RyZCGgQIECBAoE0BBb5NTfsiQIAAAQIdEVDgOzIR0iBAgAABAm0KKPBtatoXAQIECBDoiIAC35GJkAYBAgQIEGhT4P8DYgFe3yc/P7YAAAAASUVORK5CYII=" alt="plot of chunk unnamed-chunk-5"/> </p>
<pre><code class="r">prune.carseats = prune.misclass(tree.carseats, best = 13)
plot(prune.carseats)
text(prune.carseats, pretty = 0)
</code></pre>
<p><img 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" alt="plot of chunk unnamed-chunk-5"/> </p>
<p>Now lets evaluate this pruned tree on the test data.</p>
<pre><code class="r">tree.pred = predict(prune.carseats, Carseats[-train, ], type = "class")
with(Carseats[-train, ], table(tree.pred, High))
</code></pre>
<pre><code>## High
## tree.pred No Yes
## No 72 28
## Yes 18 32
</code></pre>
<pre><code class="r">(72 + 32)/150
</code></pre>
<pre><code>## [1] 0.6933
</code></pre>
<p>It has done about the same as our original tree. So pruning did not hurt us wrt misclassification errors, and gave us a simpler tree.</p>
<h1>Random Forests and Boosting</h1>
<p>These methods use trees as building blocks to build more complex models. Here we will use the Boston housing data to explore random forests and boosting. These data are in the <code>MASS</code> package.
It gives housing values and other statistics in each of 506 suburbs of Boston based on a 1970 census.</p>
<h2>Random Forests</h2>
<p>Random forests build lots of bushy trees, and then average them to reduce the variance.</p>
<pre><code class="r">require(randomForest)
</code></pre>
<pre><code>## Loading required package: randomForest randomForest 4.6-7 Type rfNews() to
## see new features/changes/bug fixes.
</code></pre>
<pre><code class="r">require(MASS)
</code></pre>
<pre><code>## Loading required package: MASS
##
## Attaching package: 'MASS'
##
## The following object is masked from 'package:hastie':
##
## enlist
</code></pre>
<pre><code class="r">set.seed(101)
dim(Boston)
</code></pre>
<pre><code>## [1] 506 14
</code></pre>
<pre><code class="r">train = sample(1:nrow(Boston), 300)
`?`(Boston)
</code></pre>
<p>Lets fit a random forest and see how well it performs. We will use the response <code>medv</code>, the median housing value (in $1K dollars)</p>
<pre><code class="r">rf.boston = randomForest(medv ~ ., data = Boston, subset = train)
rf.boston
</code></pre>
<pre><code>##
## Call:
## randomForest(formula = medv ~ ., data = Boston, subset = train)
## Type of random forest: regression
## Number of trees: 500
## No. of variables tried at each split: 4
##
## Mean of squared residuals: 12.51
## % Var explained: 84.89
</code></pre>
<p>The MSR and % variance explained are based on OOB or <em>out-of-bag</em> estimates, a very clever device in random forests to get honest error estimates. The model reports that <code>mtry=4</code>, which is the number of variables randomly chosen at each split. Since \( p=13 \) here, we could try all 13 possible values of <code>mtry</code>. We will do so, record the results, and make a plot.</p>
<pre><code class="r">oob.err = double(13)
test.err = double(13)
for (mtry in 1:13) {
fit = randomForest(medv ~ ., data = Boston, subset = train, mtry = mtry,
ntree = 400)
oob.err[mtry] = fit$mse[400]
pred = predict(fit, Boston[-train, ])
test.err[mtry] = with(Boston[-train, ], mean((medv - pred)^2))
cat(mtry, " ")
}
</code></pre>
<pre><code>## 1 2 3 4 5 6 7 8 9 10 11 12 13
</code></pre>
<pre><code class="r">matplot(1:mtry, cbind(test.err, oob.err), pch = 19, col = c("red", "blue"),
type = "b", ylab = "Mean Squared Error")
legend("topright", legend = c("OOB", "Test"), pch = 19, col = c("red", "blue"))
</code></pre>
<p><img 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" alt="plot of chunk unnamed-chunk-9"/> </p>
<p>Not too difficult! Although the test-error curve drops below the OOB curve, these are estimates based on data, and so have their own standard errors (which are typically quite large). Notice that the points at the end with <code>mtry=13</code> correspond to bagging.</p>
<h2>Boosting</h2>
<p>Boosting builds lots of smaller trees. Unlike random forests, each new tree in boosting tries to patch up the deficiencies of the current ensemble.</p>
<pre><code class="r">require(gbm)
</code></pre>
<pre><code>## Loading required package: gbm Loading required package: survival Loading
## required package: splines Loading required package: lattice Loading
## required package: parallel Loaded gbm 2.1
</code></pre>
<pre><code class="r">boost.boston = gbm(medv ~ ., data = Boston[train, ], distribution = "gaussian",
n.trees = 10000, shrinkage = 0.01, interaction.depth = 4)
summary(boost.boston)
</code></pre>
<p><img 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5zJPymTV2T5XVP5n5l138l8+QbgPVPrTAgQIECAAIF5BGr7TXY3JN9DZ+R8zyyXn43XCBAgQIAAgYYCVZzBj+X6jsx/PGftj8r07MT9E+WX3TwmoREgQIAAAQINBao6g8+l+e8n7yMTJyc2JE5JPCjrv5GpRoAAAQIECDQUqO0Mvvwmu58k97c2zN9mBAgQIECAwCwCVZ3Bz5KfVQQIECBAgMAiBKo7g19EHxb7lvx2vHctHwwuvWSxO/C+pgLX5XM2uqLp1rYjQIAAga0XGOaS+NbvpaV7yMN8d03qO7U0/Valnc/Z9G8rbFXekiVAgEBbBXpd4Ns6aPImQIAAAQLzCbgHP5+Q1wkQIECAQAsF+nwPvvzmvHtlzFyi//kH9/xcRr+mhZ9hKRMgQIDALAK9LfAp7g8YLD3k04OdHnXjLC79WrXp6uWDm79YfgfBQ/vVcb0lQIBAdwV6W+AzpHsMVj15w2D1aw7s7vA27NnGSwaDnz6yFHiNAAECBDoi4B58RwZSNwgQIECAwLiAAj+uYZ4AAQIECHREQIHvyEDqBgECBAgQGBdQ4Mc1zBMgQIAAgY4IKPAdGUjdIECAAAEC4wIK/LiGeQIECBAg0BEBBb4jA6kbBAgQIEBgXECBH9cwT4AAAQIEOiKgwHdkIHWDAAECBAiMCyjw4xrmCRAgQIBARwQU+I4MpG4QIECAAIFxAQV+XMM8AQIECBDoiIAC35GB1A0CBAgQIDAuoMCPa5gnQIAAAQIdEVDgOzKQukGAAAECBMYFFPhxDfMECBAgQKAjAgp8RwZSNwgQIECAwLiAAj+uYZ4AAQIECHREQIHvyEDqBgECBAgQGBdQ4Mc1zBMgQIAAgY4ILOtIPxbTjQsHa9+yZLD+P3+0mDd36z23LBmM1lzZrT7pDQECBPotMByNRv0W0HsCBAgQINBBAZfoOzioukSAAAECBBR4nwECBAgQINBBgT7fgx8Mh8PfzZju3sFx3VKXrs4tmY9t6UXrCRAgQKA7Ar0t8Cnuvz7Y6R7vGe5/wvLuDOfcPRld8fqb0+9HpMifNfeWXiVAgACBtgv0tsBn4JYM9zz6xiX7P2eftg9i0/xvWXfuVYOfnOe2TFMw2xEgQKDFAlX9Z5+zy6MTtym4WT4scWKLjaVOgAABAgS2u0BVBT693z/x9RT0o4pEps/K5OzEDWVZI0CAAAECBJoJVHWJPveG35aifmFS/7dML890aeKorD+3WXdsRYAAAQIECBSB2s7gp0dlQ2Z2SpTfwrNpeqUpAQIECBAg0EygqgKfs/bjk/a7EifkrP3emb4l8V9Z/+xMNQIECBAgQKChQFUFPjlflLhXivtHS/6Zvj2TIxN7lGWNAAECBAgQaCZQ2z34U0vaOWPfO5ODE+elyF+Q6RsSGgECBAgQINBQoKoz+BT2pYl3JverEqcnbsjyBxIrG/bHZgQIECBAgEAEqirwyed5iTsn7p4z93IWf3himHhJQiNAgAABAgQaCtRW4B+cvF+f4v7dkn+mP8zkbxIPK8saAQIECBAg0EygtgJ/ZtJ+6IzUy/JPZ6yzSIAAAQIECMwhUNVDdsnzfYlzc8+9nLF/PnH/xH0SzuCDoBEgQIAAgaYCVZ3B55L81Un8iMQpiZLbaYl7Zv03MtUIECBAgACBhgJVncHnzH118v6HRCnyK6b68Kys/1iK/J9NLZsQIECAAAEC8whUVeCT64sT5ZfavCCxNjHdrpmeMSVAgAABAgTmF6itwB+UlE/K2fpn50/dFgQIECBAgMCWBKq6B58kP5h4Wi7J77elhK0nQIAAAQIE5heorcAfmJQfnbg8Rf68xPem4k3zd8UWBAgQIECAwLRAbZfoyx+Z+cp0cmNT9+DHMMwSIECAAIH5BKoq8Ln3fnESLrFd2mi0YTi6+dLtcqwqDrLxqqrGuwoTSRAgQKCjAsMU1Y52be5u5dL//oPlB542WLp6/dxbdujVW9YsG2y45OiMud8M2KFh1RUCBAjMJtDbAj8bhnUECBAgQKArArU9ZNcVV/0gQIAAAQI7VECB36H8Dk6AAAECBLaNQG8fuso9+F0GO9/+tYPhypZ8kzNaOti46dOjn/2w/EEejQABAgQIzCnQ2wIflQcv2f+xT1p20B/sNadQJS+ONt082PDN4++bdBT4SsZEGgQIEKhZoM8FfjBctuumJXv/Ws3j84vcRusvHwyGSzf+YoUZAgQIECAwh0BLLk/P0QMvESBAgAABApsJKPCbkVhBgAABAgTaL6DAt38M9YAAAQIECGwmoMBvRmIFAQIECBBov4AC3/4x1AMCBAgQILCZgAK/GYkVBAgQIECg/QIKfPvHUA8IECBAgMBmAgr8ZiRWECBAgACB9gso8O0fQz0gQIAAAQKbCSjwm5FYQYAAAQIE2i+gwLd/DPWAAAECBAhsJqDAb0ZiBQECBAgQaL+AAt/+MdQDAgQIECCwmYACvxmJFQQIECBAoP0CCnz7x1APCBAgQIDAZgIK/GYkVhAgQIAAgfYLKPDtH0M9IECAAAECmwko8JuRWEGAAAECBNovoMC3fwz1gAABAgQIbCawbLM1PVox2njD0luu+mw7erzp5sFg49o92pGsLAkQIEBgRwsMR6PRjs5hhxx/OByuGux8yKsGw+VLd0gCCz/ocLBx4+mjn/34Qwt/q3cQIECAQN8Eelvg+zbQ+kuAAAEC/RKo6h58zqofkrhNTlm+b+Jl/RoWvSVAgAABAlsncJtiunW7msi7fyN7eWsKemnLE3+V5TMSlyQ0AgQIECBAoKFAVZfoS1FP3u9J3JQ4InFN4jl5TuCCTCfacqwDBqsO/Nhw+R7rJ7rjrdrZpiWjjTd9e7T2omdu1W68mQABAgR6L1DVU/Qp5BtSeJ+YUXl3ohT5h2fdtnoK8B7LDnvy7Zff+8S9q/kUjDYN1p96lCflqxkQiRAgQKC9AlUU+BT1L4VwzzHG8mT7nRIX5LWNmX4sdf6EsdcnM7t02WjJqgMms68J7GW0cV32Mtw0gV3ZBQECBAj0XKCKAp8xeG5irlyu7fk46T4BAgQIEFiQQBUP2eXs/JzEV5P51xJ3SewytXxk5u+VuDChESBAgAABAg0FqijwY7k+LvMvTFwxte5zmT4p8YypZRMCBAgQIECggUBtBf63k/NLc/b+g5J7pt/KpBT83y/LGgECBAgQINBMoLYCXy7FP3JG6g/L8poZ6ywSIECAAAECcwjM9WDbHG/bZi+9I3v+dJ6c/51Mv5go99/3T5Qze40AAQIECBBoKFBVgc8l+UtT3B+c3B+RODzxtsRZWe9HxwKhESBAgACBpgJVFfiSdIr59Zl8YLwDKfo7Z335IXGNAAECBAgQaCBQVYFPId8nOb8lUc7eyy+7Kc8I7JQol+ufnNAIECBAgACBBgK1PWRXnphflXhr4pLEyxPlAbtXJzQCBAgQIECgoUBtBf6w5P2GxMmJg3JZ/v2ZHps4MaERIECAAAECDQVqK/CXJu9DUtjXZroil+zLH4Ipf1HukIRGgAABAgQINBSo6h58cn574qwU9vMz/Ujio4kVifclNAIECBAgQKChQFUFPmfu30lxv2tyvyVxVuK4xHWJ9yY0AgQIECBAoKFAVQW+5Jwif8VY7v84Nm+WAAECBAgQaChQRYHPWfvnku/qOXL+ZAr/i+Z43UsECBAgQIDAmEAVBT75lOK9fCyv8rPveySunFp31dhrZgkQIECAAIF5BKoo8Dk7P7vkmTP5UuT/NfH0xPrEJYkPJv46oREgQIAAAQINBWr7MbkTknf5kbj7JHZNHJO4W+IVCY0AAQIECBBoKFDFGfxYrqWwvzFn9OdOrftuzupfmvl/GttmUrObbvnxh3fZsMsdNkxqh1u7n9Fg02C07sp9t3Y/3k+AAAECBIYpptUopJg/Jck8PnFs8ip/dKZctn9JJsuz/MqyPMmWfZc/S7v7JPc5gX19LX39/gT2YxcECBAg0GOBKs7gU2jPzBjsOTUOh2d6VdZ9K9NDE+Vhu1clJt5SSE+b+E7tkAABAgQIVCBQxRl8ivn9YjHXNxvXpBiX326nESBAgAABAg0EqijwDfK0CQECBAgQILAAgbnOmhewm/ZtmqsGhw923vOLS/a4w3W1ZD+6+cadRhvX//fo+ov+sJac5EGAAAEC7RTobYHPcB2y8n7P27TTw19zp1qGbtN1Fw7Wvvu3968lH3kQIECAQHsFavs5+PZKypwAAQIECFQkoMBXNBhSIUCAAAECkxJQ4CclaT8ECBAgQKAiAQW+osGQCgECBAgQmJSAAj8pSfshQIAAAQIVCSjwFQ2GVAgQIECAwKQEFPhJSdoPAQIECBCoSECBr2gwpEKAAAECBCYloMBPStJ+CBAgQIBARQIKfEWDIRUCBAgQIDApAQV+UpL2Q4AAAQIEKhJQ4CsaDKkQIECAAIFJCSjwk5K0HwIECBAgUJGAAl/RYEiFAAECBAhMSkCBn5Sk/RAgQIAAgYoEFPiKBkMqBAgQIEBgUgIK/KQk7YcAAQIECFQkoMBXNBhSIUCAAAECkxJQ4CclaT8ECBAgQKAiAQW+osGQCgECBAgQmJTAskntqIX7ue7mc/99xeimqy6rJfdNG28eDn5246iWfORBgAABAu0VGI5G/a0nw+Hwnhm6nSobvgsyJtdWlpN0CBAgQKBlAr0u8C0bK+kSIECAAIHGAu7BN6ayIQECBAgQaI9An+/BD3KJ/u4Zqklcot+Uy+rfaM+wy5QAAQIEui7Q2wKf4n7/4erbf2b5Lz3ihq0d5I3nnb46+zsmRf4zW7sv7ydAgAABApMQ6G2BD97qlQ9+yoZVj33NwVsLuf5zb9lw03/88f5bux/vJ0CAAAECkxJwD35SkvZDgAABAgQqElDgKxoMqRAgQIAAgUkJVFXgcx/76MQ+453L8mGJE8fXmSdAgAABAgTmFqiqwCfVch/76ynoR5W0M31WJmcntvpBuLI/jQABAgQI9EWgqofs8hT621LULwz+v2V6eaZLE0dl/bl9GRD9JECAAAECkxCo7Qx+uk8bMlN+Pr38Ht1N0ytNCRAgQIAAgWYCVRX4nLUfn7TflTghZ+33zvQtif/K+mdnqhEgQIAAAQINBaoq8Mn5osS9Utw/WvLP9O2ZHJnYoyxrBAgQIECAQDOB2u7Bnzoz7RT5C3IGf9LM9ZYJECBAgACBLQtUVeBTyMuPyJXL8ocnygN25QpDuRf/xcSTExoBAgQIECDQQKC2S/QvTM6rEm9NXJJ4eWJN4tUJjQABAgQIEGgoUFuBPyx5vyFxcuKgXJ5/f6bHJvyimyBoBAgQIECgqUBtBf7SJH5ICvvaTFfkkv3emV5T1iU0AgQIECBAoKFAVffgk3N5av6sFPbzM/1IojxNvyLxvoRGgAABAgQINBSorcBfnLzvmVifOCtxXOLGxBcSGgECBAgQINBQoIpL9DljL5fjy9Pyr0yUAn9Donzz8bbEusTfJzQCBAgQIECgoUAtZ/DPTL7/PJXzC2bkXor9X8xYZ5EAAQIECBCYQ6CKM/g8VFd+9n15ojwt/8tT82V5WV7bPeEX3QRDI0CAAAECTQVqOYMvv5Z2Y5J+Y9PEbUeAAAECBAhsWaCKM/gtp+cVAgQIECBAYDECw5w5L+Z9rX9PHuq763DVnmcu2eew67e2M5t+cv6+o/XXlb9b/9Wt3Zf3EyBAgACBSQj0tsBPAs8+CBAgQIBArQIu0dc6MvIiQIAAAQJbIaDAbwWetxIgQIAAgVoFqnmKfkcA5T78o3Pc3RZ57Btzz738Kl2NAAECBAhUJ9DbAp/i/rClB9/tfTs/+vjyd+cX3NZ9/F82ZR+PTZH/1ILf7A0ECBAgQGAbC/S2wMd12coHP/amVY8+fp/FGI/WXHXtjRedu6hvDhZzPO8hQIAAAQILEXAPfiFatiVAgAABAi0RUOBbMlDSJECAAAECCxFQ4BeiZVsCBAgQINASAQW+JQMlTQIECBAgsBABBX4hWrYlQIAAAQItEVDgWzJQ0iRAgAABAgsRUOAXomVbAgQIECDQEgEFviUDJU0CBAgQILAQAQV+IVq2JUCAAAECLRFQ4FsyUNIkQIAAAQILEVDgF6JlWwIECBAg0BIBBb4lAyVNAgQIECCwEAEFfiFatiVAgAABAi0RUOBbMlDSJECAAAECCxFQ4BeiZVsCBAgQINASAQW+JQMlTQIECBAgsBABBX4hWrYlQIAAAQItEVDgWzJQ0iRAgAABAgsRUOAXomVbAgQIECDQEoFlLclzm6Q52rhxuOm6nyxq35vWXOWbo0XJeRMBAgQIbA+B4Wg02h7Hqe4Yw+HwdsM9D/jkkl32WreY5DbdeO0uo2sv/634XbqY93sPAQIECBDYlgK9LfDbEtW+CRAgQIDAjhZwmXlHj4DjEyBAgACBbSCgwG8DVLskQIAAAQI7WqC3D9nlHvzOS/Y75K8HS5ctn28QNt2y4QejKy/65/m28zoBAgQIEKhFoLcFPgPwKzv92tHP3umo39tzvsG4/rXPvzjbKPDzQXmdAAECBKoR6HOBHwx32e2WlQ96+PyDsWLFhvk3sgUBAgQIEKhHwD34esZCJgQIECBAYGICCvzEKO2IAAECBAjUI1DFJfo88HZ6SFbPwfKp/EKZl8zxupcIECBAgACBMYEqCnzyeWmi5HJ44mWJkxJnJu6eeH7i6wmNAAECBAgQaChQRYHP2flZJd+cyT8pk1dk+V1T+Z+Zdd/JfPkG4D1T60wIECBAgACBeQRquwd/Q/I9dEbO98zyVTPWWSRAgAABAgTmEKjiDH4sv3dk/uM5a39Upmcn7p+4U+IxCY0AAQIECBBoKFDVGXwuzX8/eR+ZODlRfvb8lMSDEmW9RoAAAQIECDQUqOoMPmfu+yTv8oBdedhuaaJ8A/IXiS8mnpzQCBAgQIAAgQYCVZ3BJ98XJlYl3pq4JPHyxJrEqxMaAQIECBAg0FCgtgJ/WPJ+Q+LkxEG5ZP/+TI9NnJjQCBAgQIAAgYYCtRX4S5P3ISnsazNdkUv2e2d6TVmX0AgQIECAAIGGAlXdg0/Ob0+clcJ+fqYfSXw0sSLxvoRGgAABAgQINBSorcD/KHnfNXFLovzym+MS1yXem9AIECBAgACBhgK1FfjyMN2VuUT/d1P5/2PDftiMAAECBAgQGBOo7R78hcntiFyiLz8ipxEgQIAAAQKLFKjtDH5d+lF+a92aFPmLMy2X6kv7RM7q//zns/4lQIAAAQIE5hOorcB/PAmfM0vSV8+yzioCBAgQIEBgCwJVFficpZdL9CU0AgQIECBAYCsEqirwW9GPRb11dNPaJTd/4/Pzvnd07U/3mHcjGxAgQIAAgYoEhjlrriid7ZdK7vHvuuR2h75hsHzF/A8a3rz+vFsuv/B12y87RyJAgAABAlsn0NsCv3Vs3k2AAAECBOoWmP/ste78ZUeAAAECBAjMIqDAz4JiFQECBAgQaLtAbx+yyz34/ZYecPCpw912Wz/bII7Wrllyy+WXHpNnFPyI3mxA1hEgQIBA1QK9LfAZlSN2PuaJh+32zBeUv1i3WVvz5lddeeO//2v5vfhnbvaiFQQIECBAoHKBPhf4wXD58tGyg2f/S7TDFSv6+eMFlX9gpUeAAAECzQTcg2/mZCsCBAgQINAqAQW+VcMlWQIECBAg0ExAgW/mZCsCBAgQINAqAQW+VcMlWQIECBAg0ExAgW/mZCsCBAgQINAqAQW+VcMlWQIECBAg0ExAgW/mZCsCBAgQINAqAQW+VcMlWQIECBAg0ExAgW/mZCsCBAgQINAqAQW+VcMlWQIECBAg0ExAgW/mZCsCBAgQINAqAQW+VcMlWQIECBAg0ExAgW/mZCsCBAgQINAqAQW+VcMlWQIECBAg0ExAgW/mZCsCBAgQINAqAQW+VcMlWQIECBAg0ExAgW/mZCsCBAgQINAqAQW+VcMlWQIECBAg0ExAgW/mZCsCBAgQINAqgWWtynayyY7WffLUXZfd8S6j2Xa7/oxP7JH1s7422/bWESBAgACBmgSGo1F/a9hwODwmg7H7Fgbk6tictoXXrCZAgAABAlUL9LrAVz0ykiNAgAABAlsh4B78VuB5KwECBAgQqFVAga91ZORFgAABAgS2QqC3BT733++8ZM89r166zz4/zvxeW2HorQQIECBAoDqB3hb4jMQddj/uuE0rjzyyPGVYnpjXCBAgQIBAZwT6XOA7M4g6QoAAAQIEZgoo8DNFLBMgQIAAgQ4IKPAdGERdIECAAAECMwUU+JkilgkQIECAQAcEqvpVtXmafXVMT0ockVgx5vux/Fa5PxtbNkuAAAECBAjMIVBVgU+eL06UJ9pfkFibmG7XTM+YEiBAgAABAvML1FbgD0rKJ+Vs/bPzp24LAgQIECBAYEsCtd2D/2ASfVou1e+3pYStJ0CAAAECBOYXqK3AH5iUH524PEX+vMT3puJN83fFFgQIECBAgMC0QG2X6D+axL4yndzY1D34MQyzBAgQIEBgPoHazuDvm4R3yz34L09HltcnnjJfR7xOgAABAgQI/I9AbQX+qKR2ai7LP+d/UhyUH52759iyWQIECBAgQGAegdoKfEn3hYk/TZF/XaLG/OYh9TIBAgQIENjxAjUW0MvC8pBEuVz//sTKhEaAAAECBAgsQKDGAj/I/fc16UN5mv76xDsW0B+bEiBAgAABAhGo7Sn6zySnC8rIpMhvyOTYXKb/35nuVNZpBAgQIECAQDOBqgp8ivppM9POulfPXGeZAAECBAgQmFugykv0c6fsVQIECBAgQGA+AQV+PiGvEyBAgACBFgoo8C0cNCkTIECAAIH5BKq6Bz9fshN+fc3ad797xWj9+t2y359NeN92R4AAAQIEdqjAMA+x7dAEduTB84T+fXL8m2Lwgx2Zh2MTIECAAIFJC/S6wE8a0/4IECBAgEAtAu7B1zIS8iBAgAABAhMUUOAniGlXBAgQIECgFgEFvpaRkAcBAgQIEJiggAI/QUy7IkCAAAECtQgo8LWMhDwIECBAgMAEBRT4CWLaFQECBAgQqEVAga9lJORBgAABAgQmKKDATxDTrggQIECAQC0CCnwtIyEPAgQIECAwQQEFfoKYdkWAAAECBGoRUOBrGQl5ECBAgACBCQr09q/J5Q/NPC6Of5e4bIKeNe9qaZK7Q+KHNSc54dzukv316Q8J9a2/h2R8r0z05a9B7pu+bkhcl+hDK3/p86v5Y2DP7UNnt0Ufe1vgg3lF4n358Lx0W8DWts98Q7Nncnp7+lu+selFS5/PSH+P6kVn08ke9vef0+03Z4y/14cxzvi+IP28OP39UE/6+5vp5wP70Ndt1UeX6LeVrP0SIECAAIEdKKDA70B8hyZAgAABAttKQIHfVrL2S4AAAQIEdqCAAr8D8R2aAAECBAhsKwEFflvJ2i8BAgQIENiBAgr8DsR3aAIECBAgsK0EhvmRi22176r3mx85WZkEV6X/11ad6ISSS3/LN3P7pr/l54Z70dLn26W/l/eis+lkD/u7T7p9fca4/Gx451vGd/d0cmP6e1PnO5sOpr87Z7Iy/e3Lz/1PfFh7W+AnLmmHBAgQIECgIgGX6CsaDKkQIECAAIFJCSjwk5K0HwIECBAgUJGAAl/RYEiFAAECBAhMSkCBn5Sk/RAgQIAAgYoEFPiKBkMqBAgQIEBgUgIK/KQk7YcAAQIECFQkoMBXNBhSIUCAAAECkxJQ4CclaT9VCOSXYyxLDKtIZjsk0bf+bgdShyDQGYFeFvj8p/iXiW8mflTmOzOaW+hI+vjlxEVj8bwtbNrq1enf7dOBCxN3mu5I1u2ZeG/ivMS5iV+Zfq3t0/Rltv4+IOvHx7rMH9SBvj4p/Tg9cU7ilMTdpvuU+c59PadPc/W3c1/P6e9dEh9KlK/RsxMPHBvfo7L8+UT5/7pss+f0a6bzCOTXAA76FOH4g8TnE3skDkh8I/HbXTVI3/ZOXJPYJbFqKpZ1rb/p17MS5yduThw23b/MvzfxskQ5qz8qcUVi5+nX2zpNH7bU3+Py2tsT02Ndprf+xsoW97V8nZZx27/0Ie3YxCem5jv39Zy+zdXfTn49p8//nXjy1Jj+VuYvnJovv474ssS9EssTb0y8o7wm5jfo4xn8o/IBOSUfjvI7rMt/Gv+R+L1EV9t90rGvJkqBOzxxc/q9MdPOtHxHvyKdeULi0YmZv7e6jPdJ6XNpZ2T+ksRDEq1t8/S3jPeXEvslyt8euKl0vLWd/Xni5f+pJ6Qb039H4ZwsT1+J6eLX81z97erX8zEZ0/J/cWnLpqLMPyDx3Yz9NxPlbw78Q+JxCa2BQB8L/CFxGf8DJKXI79/Aqq2blP8Q7pH4SuLMRLn8tTrTzrR84ZdvWh6Z+MF4p6Yu5ZU/VlGuYEy3Mt6l+LW2bam/Ux0q4/2ixCcTP47Ba6fWt3aS/l6W+NxYB56b+dOmljv39TxPfzv59Zw+X50Y5fP6pozrvyb+ZAvjW77J2yPbrZx63WQOgT4W+HKJ68Yxk/KXmcrl6662UtDelK+dX8q03LMt/X1Cog9t5liXPq9L7NrhzperNc/KeN8l0/sl/jT/Ge7blf6mL89OX45OlG9iSps5xp36ep6lv539ep4q2j/JmJarbH+Y5XJlbub4lq/f0sqtJ20egT4W+KtisvuYS5m/bGy5U7P5j/7fE68rncq0nMn+W6IvBX7mWBeGro/38Rnncj+zjPfXM/lCohOXNPMf/vPSl1cmHpG+lSJQ2swx7sz4ztbf9LuzX8/p288Sr86Ylltovz41nTm+u2X9+mzXiz/znb5uVetjgS//MdxhTO3QzF88ttyp2fwn8ZTEA8c6tXPmfzq23NnZ/CdwXTq3Lv0/eKyTh2b+orHlzsymnzslXlGmY50qZzqtH+/06Rnpx18lSnH/bqbTrZNfz1vqb9Z37uu5fF4Tr0vcetk941ueESq328ozQ2V8D01Mt0Mz09n/r6c7OalpHwv8e4P3R/kwHZg4NPN/mPhQoqut/EjJq9PX5YlyuetpiY90tbOz9KuM94vT9/Lz8Y/P/KbEd2bZrvWr8h/j+nTiNxLPKp1Jf4/M5L6Jcj++tS39uGOS/6dE+Vq9LMt7lZjqUOe+nufpb+e+nqc+t/fPeB5bxjT9Lw/WPShRrkSdnrhT1j08Ub4BODHxgYTWQGBZg226tskn0qFyifrbifIf4r/kA/aVTLvaTk7HfjVRznpKgf9gok9fIH+b/p6auDBR7t89O+Ndnsbtaiu/1+H1+c/whEzLvfdyP35tyzv7/ORfnpM5Y7wf6WNZ18Wv57n6e3L63MWv5/K5fWPG9IWZXp94ej63t34jnnV/kuUPT60vZ/bHJ7QGArf+fGyD7Tq3ST405V5duefzs851bpYOpb+ryur096ZZXu78qvS//MhY6y9VNx2o9Lec4V6XPpcrFp1vvp67McQZxz3ymS0F/jYt68vJ6G55zb3328jMvdDbAj83i1cJECBAgEC7Bfp4D77dIyZ7AgQIECDQQECBb4BkEwIECBAg0DYBBb5tIyZfAgQIECDQQECBb4BkEwIECBAg0DYBBb5tIyZfAgQIECDQQECBb4BkEwIECBAg0DYBBb5tIyZfAgQIECDQQECBb4BkEwIECBAg0DYBBb5tIyZfAgQIECDQQECBb4BkEwIECBAg0DYBBb5tIyZfAgQIECDQQECBb4BkEwIECBAg0DYBBb5tIyZfAgQIECDQQECBb4BkEwIECBAg0DYBBb5tIyZfAgQIECDQQECBb4BkEwIECBAg0DYBBb5tIyZfAgQIECDQQECBb4BkEwIEmgsMh8PVid2av8OWBAhsCwEFfluo2ieBWQRS9HZPjBKXJi6eiksy/VBi/1necptV2eayxF1vs3LGQl4/OPGnZXWm9098f8Ymi1rMfl6beOV8b842/5JtvpN4WebnzXe+/XmdAIHFCyjwi7fzTgKLFbj3aDS6fYns4IjE0sSrF7uzGe97aJZ/a2rduZkeNTW/tZPXZAevb7CTJ2Sbo9K3lzTY1iYECGxDAQV+G+LaNYH5BFIIr802X0isLtvmrLe0cvZbzuzLmf5LE8Py2njLqmckvptYm/ha4oGJA7PNGxJHZf6UTA9PvDPzuybOSdx6jKwrxzkp8bhEafMeL295VuLYqfd+Ju/5o8T5icsTz59af0ameyROy7pfL+tKy/z9Ev/v50u3Lj8gyx+aei2zsx8/62c9ztT7fi2vfyFRrhKUvuw0tf5hmS99vS7xwcQ+08c1JdA3AQW+byOuvzUIlCL0iMSjEi9IQuVstxTk0p6WeGri6MQxiSclHpT4Rct7SuH+p8STE+UqwFcS5fL5FYmXJ8o3DMclStG7Y76JWJvpZYmyz1JwV2XylMTnEvMeL9uUtl9iulgelvly7McknpP4++yzFPbfTaxL/E7i84nptnNm7ji9kGlZPnRqea7jz3qcHOuAvPcDibcljkgUg+Oyft9MT02UKw13S1yf+MuERqCXAst62WudJrBjBf526vB3zvScxG+kCH9jat0zMn1n4oKp5XdkWgrzl6aWy+TKxJF5z7enCmu55/3gLG/K8o2Z31CKeuYz+4v2H5l7fOJdiUcnzso2V2WbJsfL5pu11+f938va72UfpZAemOVyRWGU+eszv2HG8TfbwdSK+Y6/2XHyvlLUr8gxilP5huWPMynffDwu8e3ERxKlvSpRCv6JZUEj0DcBBb5vI66/NQj8WopTKa73SjKfTZQz0OkCf1Dm/1fizxLT7WvTM1PTGzJ9Yt7/xEx3T5yfmO9q3IezzZvznl0z/f3EexKlNTnez7e87b/lm4zpVr6pWD690GA6/p3HfMef7TjlQcOzp48Ty0syX25plG9gSvG/zYOFWX9Qtrl0entTAn0RUOD7MtL6WZ1Ais43U3xelsROzvQeWS6X2L+c+Fzm31oSzvpSkJeW+bH29MyXIv34bPetbFMujZeH4LbYst2abHd6Nnhs4uGJ501t3OR4U5veZlLO1Ju2W7LhyrGN9x2bn+/4sx3nmrz/kdP7SL/KN0gPSJSif2b6Ov2QYfErzyVcntAI9E5gvu/6eweiwwS2s8BbcrwfJl47ddzyMNqxKUx7JsqZ7imJF069Nj3ZKzPnTRX3ss0fJabPoMvZdLkfPlsrZ+1/k/h83lsuq5fW5Hg/33Lx//4kb719unPQVJ/KlYfps/jFHL9c9SgP7t1tKqVyxePeiU8njsz6+5b1mT41k48n/D9XQLTeCfjg927IdbgmgRTacob6J4mnpiD9cqb/mShn8j9OnJcoZ+/TxT+zt7Z359+Ds/05mX478ZXE7bK8KtNvJu6e+elL/ln8Rfto5srDctOX58sLTY5Xtlt0SxfLNzDlmOWe/Y8S088XZHbhx8/+yjMH/zvx5fSzGB2e+IesLw/4lfX/nfXlMv2LEsdlfbmCoBHoncAwH/7edVqHCdQukAK1S8kxX5/ljHzWlm32zgvXZptN4xtkffnGfWXWl4LXqDU5XqMdzbFRjlGuLKxLXjfP3Gwxx897yi3GXbK/68f3l/Xlm6LVWX/1+HrzBPomoMD3bcT1lwABAgR6IeASfS+GWScJECBAoG8CCnzfRlx/CRAgQKAXAgp8L4ZZJwkQIECgbwIKfN9GXH8JECBAoBcCCnwvhlknCRAgQKBvAgp830ZcfwkQIECgFwIKfC+GWScJECBAoG8CCnzfRlx/CRAgQKAXAgp8L4ZZJwkQIECgbwIKfN9GXH8JECBAoBcCCnwvhlknCRAgQKBvAgp830ZcfwkQIECgFwIKfC+GWScJECBAoG8CCnzfRlx/CRAgQKAXAgp8L4ZZJwkQIECgbwIKfN9GXH8JECBAoBcC/x8CEADRmiAd/gAAAABJRU5ErkJggg==" alt="plot of chunk unnamed-chunk-10"/> </p>
<pre><code>## var rel.inf
## rm rm 34.1272
## lstat lstat 33.3280
## dis dis 7.5532
## crim crim 5.5853
## nox nox 5.0416
## ptratio ptratio 3.6750
## black black 3.1000
## age age 3.0906
## tax tax 1.5641
## chas chas 1.3074
## rad rad 0.8641
## indus indus 0.6365
## zn zn 0.1269
</code></pre>
<pre><code class="r">plot(boost.boston, i = "lstat")
</code></pre>
<p><img 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" alt="plot of chunk unnamed-chunk-10"/> </p>
<pre><code class="r">plot(boost.boston, i = "rm")
</code></pre>
<p><img 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" alt="plot of chunk unnamed-chunk-10"/> </p>
<p>Lets make a prediction on the test set. With boosting, the number of trees is a tuning parameter, and if we have too many we can overfit. So we should use cross-validation to select the number of trees. We will leave this as an exercise. Instead, we will compute the test error as a function of the number of trees, and make a plot.</p>
<pre><code class="r">n.trees = seq(from = 100, to = 10000, by = 100)
predmat = predict(boost.boston, newdata = Boston[-train, ], n.trees = n.trees)
dim(predmat)
</code></pre>
<pre><code>## [1] 206 100
</code></pre>
<pre><code class="r">berr = with(Boston[-train, ], apply((predmat - medv)^2, 2, mean))
plot(n.trees, berr, pch = 19, ylab = "Mean Squared Error", xlab = "# Trees",
main = "Boosting Test Error")
abline(h = min(test.err), col = "red")
</code></pre>
<p><img src="data:image/png;base64,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" 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