{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Unsupervised and Supervised Learning" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Loading tidyverse: ggplot2\n", "Loading tidyverse: tibble\n", "Loading tidyverse: tidyr\n", "Loading tidyverse: readr\n", "Loading tidyverse: purrr\n", "Loading tidyverse: dplyr\n", "Conflicts with tidy packages ---------------------------------------------------\n", "filter(): dplyr, stats\n", "lag(): dplyr, stats\n" ] } ], "source": [ "library(tidyverse)" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [], "source": [ "library(pheatmap)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "options(repr.plot.width=6, repr.plot.height=6)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Toy data set" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\n", "
Sepal.LengthSepal.WidthPetal.LengthPetal.WidthSpecies
5.1 3.5 1.4 0.2 setosa
4.9 3.0 1.4 0.2 setosa
4.7 3.2 1.3 0.2 setosa
4.6 3.1 1.5 0.2 setosa
5.0 3.6 1.4 0.2 setosa
5.4 3.9 1.7 0.4 setosa
\n" ], "text/latex": [ "\\begin{tabular}{r|lllll}\n", " Sepal.Length & Sepal.Width & Petal.Length & Petal.Width & Species\\\\\n", "\\hline\n", "\t 5.1 & 3.5 & 1.4 & 0.2 & setosa\\\\\n", "\t 4.9 & 3.0 & 1.4 & 0.2 & setosa\\\\\n", "\t 4.7 & 3.2 & 1.3 & 0.2 & setosa\\\\\n", "\t 4.6 & 3.1 & 1.5 & 0.2 & setosa\\\\\n", "\t 5.0 & 3.6 & 1.4 & 0.2 & setosa\\\\\n", "\t 5.4 & 3.9 & 1.7 & 0.4 & setosa\\\\\n", "\\end{tabular}\n" ], "text/markdown": [ "\n", "Sepal.Length | Sepal.Width | Petal.Length | Petal.Width | Species | \n", "|---|---|---|---|---|---|\n", "| 5.1 | 3.5 | 1.4 | 0.2 | setosa | \n", "| 4.9 | 3.0 | 1.4 | 0.2 | setosa | \n", "| 4.7 | 3.2 | 1.3 | 0.2 | setosa | \n", "| 4.6 | 3.1 | 1.5 | 0.2 | setosa | \n", "| 5.0 | 3.6 | 1.4 | 0.2 | setosa | \n", "| 5.4 | 3.9 | 1.7 | 0.4 | setosa | \n", "\n", "\n" ], "text/plain": [ " Sepal.Length Sepal.Width Petal.Length Petal.Width Species\n", "1 5.1 3.5 1.4 0.2 setosa \n", "2 4.9 3.0 1.4 0.2 setosa \n", "3 4.7 3.2 1.3 0.2 setosa \n", "4 4.6 3.1 1.5 0.2 setosa \n", "5 5.0 3.6 1.4 0.2 setosa \n", "6 5.4 3.9 1.7 0.4 setosa " ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "head(iris)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Note**: If you want graphics based on `ggplot2`, install the [`GGally`](https://cran.r-project.org/web/packages/GGally/index.html) package and use the `ggpairs` function. This has not been installed on the OIT Docker containers, so we use the simpler `pairs` function from base graphics.\n", "\n", "```R\n", "library(GGally)\n", "ggpairs(iris, aes(colour = Species))\n", "```" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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DNfnq8Z08yR5fh72e+rHFYl+yQfczt2RnpGxBC5sF0MxToJOx0rP5ajzTEsHik7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\neVL6pIVOixtONw7YHAgtC2WBFSONqcHuNCjoFY5GQL4y/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wDwSPXIeDRQbii/Wn7V+GleQ1hDyAr3Fe9z57sTKEQScs3v2hrXNYX6QgBW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5v3f67eSFnr/YHmMNeDv/bTiAZ4CeJZbwdu6bYvmn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\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u9//win5Nizx+gk/scffwTwyy+/ENGY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\nEO0RoK7DpWqd00vl6NG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"text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pairs(iris[,1:4], col=iris$Species)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Unsupervised Learning" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Ordination (Dimension reduction)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### PCA" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "pca <- as.data.frame(prcomp(iris[,1:4], center=TRUE, scale=TRUE, rank=2)$x)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
    \n", "\t
  1. 150
  2. \n", "\t
  3. 2
  4. \n", "
\n" ], "text/latex": [ "\\begin{enumerate*}\n", "\\item 150\n", "\\item 2\n", "\\end{enumerate*}\n" ], "text/markdown": [ "1. 150\n", "2. 2\n", "\n", "\n" ], "text/plain": [ "[1] 150 2" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dim(pca)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "pca <- bind_cols(iris, pca)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\n", "
Sepal.LengthSepal.WidthPetal.LengthPetal.WidthSpeciesPC1PC2
5.1 3.5 1.4 0.2 setosa -2.257141 -0.4784238
4.9 3.0 1.4 0.2 setosa -2.074013 0.6718827
4.7 3.2 1.3 0.2 setosa -2.356335 0.3407664
4.6 3.1 1.5 0.2 setosa -2.291707 0.5953999
5.0 3.6 1.4 0.2 setosa -2.381863 -0.6446757
5.4 3.9 1.7 0.4 setosa -2.068701 -1.4842053
\n" ], "text/latex": [ "\\begin{tabular}{r|lllllll}\n", " Sepal.Length & Sepal.Width & Petal.Length & Petal.Width & Species & PC1 & PC2\\\\\n", "\\hline\n", "\t 5.1 & 3.5 & 1.4 & 0.2 & setosa & -2.257141 & -0.4784238\\\\\n", "\t 4.9 & 3.0 & 1.4 & 0.2 & setosa & -2.074013 & 0.6718827\\\\\n", "\t 4.7 & 3.2 & 1.3 & 0.2 & setosa & -2.356335 & 0.3407664\\\\\n", "\t 4.6 & 3.1 & 1.5 & 0.2 & setosa & -2.291707 & 0.5953999\\\\\n", "\t 5.0 & 3.6 & 1.4 & 0.2 & setosa & -2.381863 & -0.6446757\\\\\n", "\t 5.4 & 3.9 & 1.7 & 0.4 & setosa & -2.068701 & -1.4842053\\\\\n", "\\end{tabular}\n" ], "text/markdown": [ "\n", "Sepal.Length | Sepal.Width | Petal.Length | Petal.Width | Species | PC1 | PC2 | \n", "|---|---|---|---|---|---|\n", "| 5.1 | 3.5 | 1.4 | 0.2 | setosa | -2.257141 | -0.4784238 | \n", "| 4.9 | 3.0 | 1.4 | 0.2 | setosa | -2.074013 | 0.6718827 | \n", "| 4.7 | 3.2 | 1.3 | 0.2 | setosa | -2.356335 | 0.3407664 | \n", "| 4.6 | 3.1 | 1.5 | 0.2 | setosa | -2.291707 | 0.5953999 | \n", "| 5.0 | 3.6 | 1.4 | 0.2 | setosa | -2.381863 | -0.6446757 | \n", "| 5.4 | 3.9 | 1.7 | 0.4 | setosa | -2.068701 | -1.4842053 | \n", "\n", "\n" ], "text/plain": [ " Sepal.Length Sepal.Width Petal.Length Petal.Width Species PC1 \n", "1 5.1 3.5 1.4 0.2 setosa -2.257141\n", "2 4.9 3.0 1.4 0.2 setosa -2.074013\n", "3 4.7 3.2 1.3 0.2 setosa -2.356335\n", "4 4.6 3.1 1.5 0.2 setosa -2.291707\n", "5 5.0 3.6 1.4 0.2 setosa -2.381863\n", "6 5.4 3.9 1.7 0.4 setosa -2.068701\n", " PC2 \n", "1 -0.4784238\n", "2 0.6718827\n", "3 0.3407664\n", "4 0.5953999\n", "5 -0.6446757\n", "6 -1.4842053" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "head(pca)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "options(repr.plot.width=5.5, repr.plot.height=4)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": {}, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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CRvJ8AajYNCkwkbjYJIRF3LsWRuC+r4X2h0KoIJLLxNKB34n3ZTLJtLop5KUfbY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x8QFW5PnTFQ37dti4HR/zn7zhDs+nx9u4LU52tcgUpp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fmJTdp4NnZZPv+HUqif4FUwkhTFNDIMMC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\nNwAAQJT5/4/CP7ZseTZ7AAAAAElFTkSuQmCC", "text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ggplot(pca, aes(x=PC1, y=PC2, color=Species)) +\n", "geom_point()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### MDS" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/plain": [ " 1 2 3 4\n", "2 0.5385165 \n", "3 0.5099020 0.3000000 \n", "4 0.6480741 0.3316625 0.2449490 \n", "5 0.1414214 0.6082763 0.5099020 0.6480741" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dist(iris[1:5,1:4])" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "mds <- as.data.frame(cmdscale(dist(iris[,1:4]), k = 2))" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
    \n", "\t
  1. 150
  2. \n", "\t
  3. 2
  4. \n", "
\n" ], "text/latex": [ "\\begin{enumerate*}\n", "\\item 150\n", "\\item 2\n", "\\end{enumerate*}\n" ], "text/markdown": [ "1. 150\n", "2. 2\n", "\n", "\n" ], "text/plain": [ "[1] 150 2" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dim(mds)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "mds <- bind_cols(mds, iris)" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\n", "
V1V2Sepal.LengthSepal.WidthPetal.LengthPetal.WidthSpecies
-2.684126 0.31939725.1 3.5 1.4 0.2 setosa
-2.714142 -0.17700124.9 3.0 1.4 0.2 setosa
-2.888991 -0.14494944.7 3.2 1.3 0.2 setosa
-2.745343 -0.31829904.6 3.1 1.5 0.2 setosa
-2.728717 0.32675455.0 3.6 1.4 0.2 setosa
-2.280860 0.74133045.4 3.9 1.7 0.4 setosa
\n" ], "text/latex": [ "\\begin{tabular}{r|lllllll}\n", " V1 & V2 & Sepal.Length & Sepal.Width & Petal.Length & Petal.Width & Species\\\\\n", "\\hline\n", "\t -2.684126 & 0.3193972 & 5.1 & 3.5 & 1.4 & 0.2 & setosa \\\\\n", "\t -2.714142 & -0.1770012 & 4.9 & 3.0 & 1.4 & 0.2 & setosa \\\\\n", "\t -2.888991 & -0.1449494 & 4.7 & 3.2 & 1.3 & 0.2 & setosa \\\\\n", "\t -2.745343 & -0.3182990 & 4.6 & 3.1 & 1.5 & 0.2 & setosa \\\\\n", "\t -2.728717 & 0.3267545 & 5.0 & 3.6 & 1.4 & 0.2 & setosa \\\\\n", "\t -2.280860 & 0.7413304 & 5.4 & 3.9 & 1.7 & 0.4 & setosa \\\\\n", "\\end{tabular}\n" ], "text/markdown": [ "\n", "V1 | V2 | Sepal.Length | Sepal.Width | Petal.Length | Petal.Width | Species | \n", "|---|---|---|---|---|---|\n", "| -2.684126 | 0.3193972 | 5.1 | 3.5 | 1.4 | 0.2 | setosa | \n", "| -2.714142 | -0.1770012 | 4.9 | 3.0 | 1.4 | 0.2 | setosa | \n", "| -2.888991 | -0.1449494 | 4.7 | 3.2 | 1.3 | 0.2 | setosa | \n", "| -2.745343 | -0.3182990 | 4.6 | 3.1 | 1.5 | 0.2 | setosa | \n", "| -2.728717 | 0.3267545 | 5.0 | 3.6 | 1.4 | 0.2 | setosa | \n", "| -2.280860 | 0.7413304 | 5.4 | 3.9 | 1.7 | 0.4 | setosa | \n", "\n", "\n" ], "text/plain": [ " V1 V2 Sepal.Length Sepal.Width Petal.Length Petal.Width\n", "1 -2.684126 0.3193972 5.1 3.5 1.4 0.2 \n", "2 -2.714142 -0.1770012 4.9 3.0 1.4 0.2 \n", "3 -2.888991 -0.1449494 4.7 3.2 1.3 0.2 \n", "4 -2.745343 -0.3182990 4.6 3.1 1.5 0.2 \n", "5 -2.728717 0.3267545 5.0 3.6 1.4 0.2 \n", "6 -2.280860 0.7413304 5.4 3.9 1.7 0.4 \n", " Species\n", "1 setosa \n", "2 setosa \n", "3 setosa \n", "4 setosa \n", "5 setosa \n", "6 setosa " ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "head(mds)" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": {}, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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wwADiB5ex6Ow8wqAEiOIGJNLATA+6DZ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\nS3GsjTw1c5gozS5IKbA8tv73gOslFEJIREhGiFN7GvrEQOXbxx5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bj1c6Tv3MdazpAEzezJTt/wmvqkQICaFhllHj+Ri/GM8D/EExV5Fu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"text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ggplot(mds, aes(x=V1, y=V2, color=Species)) +\n", "geom_point()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Clustering" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Note**: If you want graphics based on `ggplot2`, install the [`gdendro`](https://cran.r-project.org/web/packages/ggdendro/vignettes/ggdendro.html) package and use the `ggdendrogram` function. This has not been installed on the OIT Docker containers, so we use the simpler `plot` function from base graphics.\n", "\n", "```R\n", "hc <- hclust(dist(iris[,1:4]), 'complete')\n", "ggdendrogram(hc, rotate = FALSE, size = 2)\n", "```" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Agglomertive clustering" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [], "source": [ "options(repr.plot.width=16, repr.plot.height=4)" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [], "source": [ "tree <- hclust(dist(iris[,1:4]), method='average')" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [], "source": [ "tree$labels <- as.integer(iris$Species)" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "image/png": 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AABIoABJwQwgAARwIATAhhAgAhgwAkB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\nB/U1zWM/dc/fBPN7CZB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"text/plain": [ "Plot with title “Cluster Dendrogram”" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot(tree)" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "image/png": 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b+g5VUocOHe7du1fmoRMnTnz//fel97u7ux85ckTkXID+/fbbb7/8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"text/plain": [ "Plot with title “Cluster Dendrogram”" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot(tree)\n", "rect.hclust(tree, k=3, border = \"red\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Dendrograms are also constructed as part of visualizing a heatmapm" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [], "source": [ "?pheatmap" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [], "source": [ "options(repr.plot.width=5, repr.plot.height=6)" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "data": { "image/png": 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8Jifvjhh4SEBCJSFIVoD+s4AACmoNMJ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\nRwAAAABJRU5ErkJggg==", "text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pheatmap(iris[,1:4], show_rownames = FALSE)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Visualize clusters on MDS plot" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": {}, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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wwADiB5ex6Ow8wqAEiOIGJNLATA+6DZ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\nS3GsjTw1c5gozS5IKbA8tv73gOslFEJIREhGiFN7GvrEQOXbxx5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bj1c6Tv3MdazpAEzezJTt/wmvqkQICaFhllHj+Ri/GM8D/EExV5Fu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8mGVZ8u8+Ymq1evv2aysdURTlfOZm4RVX\naIvZvdyYk82Guc6NhQ2/nbJYiJyrv8J8fKJ1whSjPnibzcPDw1mWNRg8rFAZbAiCkMlkDQ0i\neBpKkqRKpbJYLGazh09OY3gb7+FUiHD/uM5WjenSPfaLqp9KbFVdpPELoyd1wxNb9al2JpVK\nMQyzWCxtO7ydYsKU9WbXZBwlt9TWevjTSaVSuVxuNBoZRgSrg8vlcpvNZrOJoP+dQqGgKEqv\n13Mc5/KWIAgiumMG7nybvGmaTki4bj3EtLS0rKysefPm2TezsrJomm5Jr7Ts7GyNRkM69e7G\ncTw+/tpTQ5PJZDK1YplhwdP4NIQQTxDuH3QkkbAT7w5HgqEgn1ep+IhIhGHIfbdgIgiCh39I\n8MEwTEShotb/YYcq+26u3utSOFzVz+NJBsp7Dkzq6dhs7Z+lzFZ9xpQvxSX95F2jJBE4jvvu\nD1taT+6/ILtiIFVSPj3eOiDJ4vyVuqOnMb9SbeOvFall/ODORo5zbb9FCNkbdXmeF8XHQBAE\nEYWKEOI4ThTRglbxd4e1qVOnPvvss+vWrRs7dmx+fv62bdsmT55svwE8fPjwd999t2zZMrlc\njhB6//3309LSYmNjGYY5dOjQ4cOH586d68VI+HAtHx6B11Y7FwoEyXXq3NghmDaCRZ5TPgAu\nSpmqs+YCGqduVw8Ypx64q/43x1sxEu1riQu8fsVXyzZ+UPEtw9sQQuGkanXKomlRI71+Fbu8\nKsn6o2qWRwihckRcqJRcqiGnOXUmjw1jF9xW/8Nfisu1JImjblG28b2MCspD5gYAtIG/k3f3\n7t1feOGFzz//fPfu3Wq1esqUKTNnXl0Cubq6Ojs729GNgqKozZs3V1dXUxQVHx+/ZMmSwYMH\nezMUDLOMnyzbvAmzXWupsw4fzavbvp4EAAghAQmvlH62tmK7TWARQloy7I2EB+/QDPy5/ngD\nZ+6v6L4wapLa2ytsbqrevab8/xybtazhoby3uiuSu2Lenx1BQOib00r2+qcBJy7T/ROtnXXX\nGpOTtexDg+p5HmE43PMC4GWYey9EkWpts7kd1mCQnDpO1FTzSiXbqy8X09QvnVar9dgxPgjp\ndDqbzVZfXx/oQJpHkqRcLtcHcQcCB5IkNRqN2Ww2Go1N7PZp1Q/PFP3XuYTGqN09VvWkO/ku\ntiHnH802X3IpnBs9/t9xD3r9WvUW/NXdHvqpjOlhGtW91d9BhJBMJlMoFAaDwWoVwUAypVLJ\nMIwoHs+rVCqpVFpbW+ux2Vyn0/k/JOAtHX2CMEGpYgbD9JPAmz6q/N6lxCIwGyp3/TvxId9d\ntMxW7V5YwlT64lqNVaMb6UYCAPC+jp682wPjOLymCiGM00YE85gx4Gce82iprcqnF42XRNax\nrj32k6Ux7TlnA4NvPqEs05MEjrpF2aakG+zj28NoPkrFVRhcP/NddCKojAIQGiB5t5Ek+6x0\n327MZEQICQqldeRYW/eezR4FQkA1W/9T3e/VbH1vWepNniYuTaCizru1YCdKfLuMzcNRkx+5\n9LZziZygF8ROavMJq434W/u03N8Ptn+/JD1XLnlxTI09f0/rZ1j7q5p16kx+W6o5WQvzfgDg\nJ5C824IoKaJ3XFtDAjM2SHd+y6nC+LiEJo4CIWBrxYF551511HGHq/ptSP2nHKed93k4avJj\nl95xLpHj9NzIO3wa2DTtiBJb1eqyzRaBQQhFkeHvdF7cU96pDR1B7D75Tc1d3yWtwYp/fVo1\nPcOAEEoKZ58aUXfwoqxMT4TRQt94a3qcCB5XAxAyIHm3BXXsiEsJxrHS40fMk6YFJB7gH5es\n5bPPvdzAXZtmZL/h1Esl61clPuK82wztqBKmak3511bBhhCKkWjfSnykG53o6/CeiJ42J2Lc\nGXO+HJf2kqWEy9XtOVuV0cOToIsV1+ZdiVBwU/uKYGodAEISJO+2wOs9THqF1YqjIzpos601\nh5wzt93m6r2vxy9wmX786Zjp/9DdcdZcoMDpXvIUGvPT/JThpGqIqqVr3psYrN5CaGScTNLS\nISc8dEkDIDhA8m4LQaFElRWuhUoRLK0B2qPS5uGmzSrYDLw5wm3tEC0Z1vI86mcmBvv2jPKP\nYql9FvWMROvEPg0uKVwp5Q2W69ZfERCKDYOJugAICq1YHAk42Pr2b2EhCCUptIdpAMJJVTjR\nrrVD/ExAaPMp1eliqfD35ski6TenXf8JMzIMLtVsCSHce5MIZssHoCOA5N0Wtm5pzG1Dhb+H\nhwkEwQwewXb10PEYhJJ7IkakyFzz95PR9+CYmL5HpfVkttt6nWdKpVeuH/rVJdK24Nb6cDmP\nY4jEUVwY+9TwWjnpYZEVAID/QbN5G1lvHcr06kuWlSCE2LgEIaxdnYOAKIQRiu9veHPe2Vd/\nN/yFEJLh0sej714YNbHZA4NKtaeeaAihqgYiWnVdq3jnSNvzo6EnBwDBCJJ32wlqjQ0mQu9g\neilT9/d9L6+uqJYzpErjpJholqB2UEo9155VNNSqARANSN4AtFqMRBsjaX4R+uCUFG6LVnEu\njeRxajZBA1OsACAaYnpWBwBoPxJH996o1ymutZBHqbh7bzTgMAwMAPGAmjcAHU5MGPfkiNqL\nlVS1Edcp+S46hoDbeABEBZI3AB0RiaMe0bCOCABiBckbgAAQkPBNzYFvag5UsnXd6MRF0Xf1\nkqUEOigAgGhA8gbgquPG83+aLmrJsEGq9Eiy1eMISphKPWfqTMdTWPNfq38Wffhx1Q776zPm\n/O/rDn/ZeXnQzsgGAAg2kLwBQBaBmZv/+h79CfumipC/mfjwXeFDW3j4GXP+E5ff/cN0ESGk\nwOmnYqYvir6rif2zjLmOzG3HCOzjl9852fNjcc33AgAIFPilAAC9XLLBkbkRQgbO9MTld3Mt\nRS05tobTz8xbYc/cCCEjb3m5dMNnVT82cchR41n3wmKm8hJzpTVRAwA6LkjeoKMTkPC/6p9d\nCs289ZuaAy05/POqn8ptrtOQvVX+ZRsiwTAYrQUAaBFoNgcdnZm3GnmLe3klW5dvLX27/Ou/\nLIVaMuwO9cB/RE9w363QWu5eWG6rMfNWGS71eMXblH3cC5Oo6GQqupWxAwA6KEjeoKOT43S0\nRHvFrfaswGVDsxdZhKvjqQ7oTx01ntva/w2X3XSkh2ntVYScxhtdw/sGedcHoyatrdjuKKEw\n8j/Jj2MIat4AgBaBZnMA0NMx011K4ijd4YYzjsxtt63m0NuXvjJx11XTM7XDacw1T8+KGNN0\nJn4l/oGPU54dq745Q9Ftunbkvh7veKyOAwCAR5ggCIGOwTtMJpPJZPLpJbRabU2NOBZZ0ul0\nNputvr4+0IE0jyRJuVyu1+sDG8a7V7asKv/K3n7eT9719YQFY3OXeNxTSciWxMx4OGqKo2RL\n7cElRR8YuKsfv7Hqmz9OeTbga5bQNI3juK+/FF4hk8kUCoXBYLBarYGOpXlKpZJhGIYRwRQ3\nKpVKKpXW1tZyHOf+rk6n839IwFug2RwAhBBaFH3XwsiJedZSDamMlUSYPD0Ft2vgzMtKPokg\n1fdoR9hL7gofOlR1w+GGM7WsIV3WOUPRzV9RAwA6KEjeAFxF4ZI0WbL9tRyn+yu6nzTmNLbz\nmitfO5I3QkhHqidpBvk8RAAAQAjBM28AGrM66dHGuoujRjqZAwCAf0DyBkGEF/gD+lMfV+3Y\nUX+kgTMHNpiedKdf096frRsbJQl3fzdatOt5AwBCADSbg2BRwdbem/fKadMF+2a0RPthpyW3\nKnsHMKQkKvqtxEfm6u64Pecpq2Bzfmu2bmygovKRvCrJ6RJpgxWPVrK3dbaopHygIwIANApq\n3iBYPHbpHUfmRghdsdXML/h3LWsIYEh2vWQpq5IeVRFyR8l07cjHou4OYEhety9Xvu6w+vdC\n+lwZte+C/M094WV6uLMHIHiFzlAxhmEIgvDpJQiC8DjiIggRBCEIAs+LoPKEYRiGYcXmiqTD\nk93f/bTni/fFBEUdt5Kp+1X/h5Gz3BjWo8ff/dqCmf0P25LPQHEttmK76328VoGWjON0St8E\ndz0Mw3Ac53leFD9HOI4LgiCWUDEM8/irZbPZaJr2f0jAW0Ln5pplWV+PFdZqtbW1tT69hLfo\ndDqWZUU0zju/+rLHdwvrSmqlQfE3JxEaJc3QaDRms1kUH4OWj/M+cVGGkMKlsMaIXtyK397D\nNKyrzzsf2Md5G41GGOftXfZx3nq93mP+huQtatBsDoJCAhVFYh4aTjrTcf4PpqPheM+TwXE8\n9sNfityKAM82AwBwB8kbBAU1oVgQOdGlsJ+866iwGwMST4eSGG5r4t1jl6B+BkDQgeQNgsUL\nsfc9FDVZgl19lDMq7MZPU553bALf6RppS49rtL26wQq/EgAEHfhlBMGCwiUvx897PnZWAVMW\nQ2q1ZFigI+pAZvRviFeze3PlDOfahK5TiqOTJgAdCtxTg+Aiw6U96U6Quf2MwIXh3cyzb3bt\n8kkRwpDOAZ4tBwDgDpI3AN4kIBGMIGpM10jb9AyD8u/pWSIU3Oyb9VEqqHkDEHSg2RwAL7hi\nq1lZtvGn+uMNnKmvvMvzsbMGq/oGOqi2yEi03hBvrTYROIa0cg5ralFyAEDAQM0bgPayCMzd\neUu/qt5bw+oZgT1uPD/14otHG84FOq42wnEUqeQiFJC5AQhekLwBaK/Pqn48b77kUvhC8YcB\nCQYA0BFA8gagvc6a890L/7IUcoIIpqcFAIgRJG8A2kuOe5jGhMYoAoPvFwDAJ+DHBYD2ukM9\n0L1wguZW/0cCAOggIHkD0F5DVTc8Gj3VuaQbnbgyfn6g4gEAhDwYKgaAFyyLm3t72ICf9Mf1\nnPEGeddp4cMpHNbzAAD4CiRvALxjoLLXQGWvQEcBAOgQoL66ypEAAA80SURBVNkcAAAAEBlI\n3gAAAIDIQPIGAAAARAaSNwAAACAykLwBAAAAkYHkDQAAAIgMJG8AAABAZGCcd3sRhfnkpXzM\nZmPj4tkevREO90MAAAB8C5J3u9A/7ZD8kWV/LTl1nDt5zDxjtkDC1FoAAAB8CKqJbSfJzXZk\nbjuivJQ6tC9Q8QAAAOggIHm3HZGb7V4ouXDe/5EAAADoUCB5tx1ms3koZRi/BwIAAKBjgeTd\ndlxUtHshHxXj/0gAAAB0KJC8287Wf6Cg1jiXCCRpHTYqUPEAAADoICB5t51A06bps23dewpS\nWiAILiHJPO0+Ljo20HEBAAAIcf4eKpabm7tly5a8vLyKiorRo0cvWrSoiZ1PnDixadOm4uJi\ntVo9atSoGTNmYBjmt1Bbgg9TWybejRBCPA8jvAEAAPiHv/ONxWKJjY297777YmObqaHm5OSs\nXLmyZ8+eq1evnjVr1tatW7/44gv/BNkWkLl9L9dStLPu6HHjeYb31FUQAAA6DH/XvNPT09PT\n0xFCW7dubXrPrVu3xsfHL1y4ECGUnJxcVla2ffv2zMxMqVTqj0BBMDHylkcurd5Zd9S+mSiJ\neiJm2njNLVoyLLCBAQBAQATvDGvZ2dlDhw51bGZkZGzevDk/Pz8tLc1ewvN8WVmZYweKokjS\n5/8cgiB8fQlvwTBMFNHiON5sqC8UfeTI3AihIlvFk0XvPVP834eiJy+Ln4tjfmr2sAcZSn/Y\nIGF/HIbjuFiiFVGoqJFfLUEQ/B4O8KYgTd6CINTV1YWHhztK7K9ramocJfX19ZMmTXJsLliw\nYMGCBb4OzDmkIEeSpIiibSLUOrbhq+o97uWswL1bviVBFfNMp1m+DM0VTdM0Tfvziu0hk8kC\nHUJLKRQKhUIR6ChaRFztf2FhHhqorFar/yMBXuTb5H3q1KkVK1bYX48fP37+/PlePDlFUaNG\nXRuXlZyc7OuPI0VRjEjmYJFKpTzP2zxOIxNk7JWYJkK9bCrjBL6xd98o2PRY7N0Y8kdPRhzH\nJRIJx3Esy/rhcu1EEASGYWIJlSRJm83G843+RwcPkiR5nhdLqARBMAzjXs9mWVZctyDAhW+T\nd1pa2nvvvWd/rVQqW34ghmEajaa2ttZRYn+t1WodJQqF4l//+pdj02QyGQyG9kbcJK1W6+tL\neItUKuU4ThTRkiQpl8ubCFXFSUmMYAXO47s1rL68rlJJ+KN+SZKkRqNhGMZoNPrhcu1E0zSO\n4yaTKdCBNE8mk5EkabFYRFEdVCqVDMOI4j5epVIRBGE0GjnOw9dHLO0cwCPfPiykaTrhbxqN\npvkDnKSlpWVlXVv2Iysri6bp1NRUb8cIgp2KkN8XcXtj74YRCgUhmkZsAADwCn8PcGIYJj8/\nPz8/n2GYhoaG/Pz8goIC+1uHDx9+9tlnHRWFqVOnlpSUrFu37tKlS/v379+2bdvEiROhnadj\nejlhXqZ2uMe3/qG7wz9t5gAAEDz83WGtuLh48eLF9tclJSVHjx7Fcfzbb79FCFVXV2dnZzse\n0XXv3v2FF174/PPPd+/erVarp0yZMnPmTD9HC4IEjVEfJD/5z9j7Ntfu/fDK9zWc3l5+j3bE\nM7HwqQAAdDhYyAwYMJlMvn68p9Vqnbu7BzOdTmez2err6wMdSPPsz7z1en0L9zfylhPG87Ws\noY88tbM03qexubA/8zabzfDM27tkMplCoTAYDPDM27tUKpVUKq2trfX4zFun0/k/JOAtQTpU\nDIDGKHB6qOqGQEcBAACBBJN6AgAAACIDyRsAAAAQGUjeAAAAgMhA8gYAAABEBpI3AAAAIDKQ\nvAEAAACRgeQNAAAAiAwkbwAAAEBkIHkDAAAAIgPJGwAAABAZSN4AAACAyEDyBgAAAEQGkjcA\nAAAgMpC8AQAAAJGB5A0AAACIDCRvAAAAQGQgeQMQFEwMJgQ6BgCAWJCBDgCADo3n0YGLsl/y\n5EYGk5LCjUmWsWkmKQl5HADQFKh5AxBIP52X/5itMDIYQsjKYofzZZuzVIEOCgAQ7CB5AxAw\nJgY/cFHuUni2jCqskQQkHgCAWEDyBiBgKhoI3lMDebme8HssAAAxgeQNQMDQJO+xXE7BM28A\nQFMgeQMQMNFhXIyKdSmUU3wXHROQeAAAYgHJG4CAwRCaeaNBTV+rf9OkMKN/A9S8AQBNg6Fi\nAARSTBi3ZGTt6RJpZQOhkfPpcVaV1HNbOgAAOEDyBiDAKFIYkGwJdBQAADGBZnMAAABAZKDm\nDUINI7B76k8U2SoSJJGj1DdKMRgzDQAINaGTvHEcp2nap5fAMMzXl/AiP/xBvALHcYIgvBXq\nefOle84vzbeU2jeTpTFf9VjRW57qlZMTBIEQIklSFH9YiUQilk8sSZLo74ADHUvzCIKgKArH\nRdBsaf/ESqVSnnftSMFxXCAiAl4TOskbIeSHb74oflwcRBGtPUivhMoK3JzcVx2ZGyF0yVp2\nf+4rv/f9iMK9Wf8WxR8WIYRhmChCdXwGRBGtnbhCdY9WRPEDj0InefM8bzabfXoJmUzm60t4\ni0Kh8MMfxCtIkiQIwiuhHjeeP2cquL4Mu2AuPliVNUiV3v7zkyQpk8lYlhXFH5amaRzHRREq\nQoiiKIZhrFZroANpHkEQDMMwjAjG4pMkSZKkxWKBenboEUHLDwAtVMPqPZZXsfV+jgQAAHwK\nkjcIHanSOI/lXegEP0cCAAA+BckbhI6udMKU8CEuheM1t/SWpQQkHgAA8BFI3iCkrEp8ZFbE\nGBzDEUIYwqZrR76T9HiggwIAAC8LnQ5rACCEVIT87aRFrybMv2y9kiiNVuAiGCgFAACtBckb\nhCA5TveQJQc6CgAA8BVoNgcAAABEBpI3AAAAIDKQvAEAAACRgeQNAAAAiAwkbwAAAEBkIHkD\nAAAAIgPJGwAAABAZSN4AAACAyEDyBgAAAEQGkjcAAAAgMpC8AQAAAJGB5A0AAACIDCRvAAAA\nQGSI5cuXBzoG77DZbDabzddXYVnW15doP57nv/zyy+Li4uRk0aysJYo/bHV19bZt2ywWS1RU\nVKBjaRGe53meD3QUzbtw4cKuXbvkcnlYWFigY2kRjuMEQQh0FM37/fff9+/fn5CQQFGU+7ty\nudz/IQFvCZ0lQeVyuR8+iwqFwteXaD+WZdeuXduvX78pU6YEOpaWUiqVgQ6heaWlpWvXrp05\nc+bQoUMDHUtI2bNnz9q1axMSEvr27RvoWELKr7/+unPnzjFjxuh0ukDHArwMms0BAAAAkYHk\nDQAAAIgMJG8AAABAZDBRdLsAraXX60mShA4p3sVxnNFolEqlUqk00LGEFIZhLBaLTCaTSCSB\njiWkmM1mm82mVCpxHOppoQaSNwAAACAycDsGAAAAiAwkbwAAAEBkQmecN3C2Z8+egwcPFhYW\nWq3WuLi48ePHjx49OtBBiduJEyc2bdpUXFysVqtHjRo1Y8YMDMMCHZTowQfV186fP//8888L\ngvDtt98GOhbgTZC8Q9O+fft69eo1adIkuVx+5MiRd999l2XZcePGBTouscrJyVm5cuW4ceOe\nfPLJvLy8Dz74gOf5WbNmBTou0YMPqk/p9fo333yzX79+WVlZgY4FeBkk79D02muvOV737Nmz\noKDg8OHD8JvYZlu3bo2Pj1+4cCFCKDk5uaysbPv27ZmZmdDtvJ3gg+o7giCsWrVq1KhRNE1D\n8g498My7Q2AYRq1WBzoKEcvOzs7IyHBsZmRkWCyW/Pz8AIYUkuCD6kVfffUVy7LTp08PdCDA\nJyB5h749e/ZcvHhx8uTJgQ5ErARBqKurCw8Pd5TYX9fU1AQuqBAEH1Qv+uOPP3788cenn34a\nemaEKmg2DwWnTp1asWKF/fX48ePnz5/veOuXX35Zu3btE0880bVr1wBFB0Dz4IPqRbW1tatW\nrVq8eLHzHScIMZC8Q0FaWtp7771nf+28PNeuXbvWr1//9NNPDxw4MEChhQIMwzQaTW1traPE\n/lqr1QYuqJACH1TvKigoqKure/nll+2bgiAIgjB58uRp06bNnDkzsLEBb4HkHQpomk5ISHAp\n/Oqrr7Zu3frSSy/BMovtl5aWlpWVNW/ePPtmVlYWTdOpqamBjSo0wAfV63r27Pnuu+86Nvfu\n3fvdd9+98847Go0mgFEB74LkHZo++uijH374YcGCBSqVyt6vSiKRJCYmBjousZo6deqzzz67\nbt26sWPH5ufnb9u2bfLkydDVvP3gg+oLNE0nJyc7Nu2N584lIATA3Oah6d577zUYDM4lMTEx\nH374YaDiCQHHjx///PPPi4qK7JO0zJw5E7oCtR98UP1g27Ztn332GUzSEmIgeQMAAAAiA0PF\nAAAAAJGB5A0AAACIDCRvAAAAQGQgeQMAAAAiA8kbAAAAEBlI3gAAAIDIQPIGAAAARAaSNwAA\nACAykLwBaLtp06ZhGHb06FGP706cOBHDsFOnTtk3//3vf0+bNq1Lly44jmMYxrKsHyMFAIQU\nmGENgLb7+eefx4wZM2/evI8//tjlrbKysqSkpPT09JMnT9pLSJJUqVQZGRlnzpyprKy02Wwk\nCYsLAADaAmreALTdqFGjOnXqtHnz5oaGBpe3PvvsM5ZlH3jgAUdJbm5ubW3t3r17YTkyAEA7\nQfIGoO0wDJs3b15DQ8PXX3/t8tYnn3wil8udl0+GnA0A8BZI3gC0y9y5cwmCWL9+vXPhoUOH\nLly4kJmZqVarAxUYACCEQfIGoF3i4+PHjRt35MiR7OxsR6E9lzu3mQMAgBdB8gagvebPn48Q\n+uSTT+yber3+m2++6dGjx6BBgwIaFwAgZEHyBqC9xo8fHxcXt3HjRpvNhhD68ssvTSYTVLsB\nAL4DyRuA9iIIYs6cORUVFTt27EAIrV+/nqKo+++/P9BxAQBCFiRvALxg3rx5GIZ9/PHHZ86c\nOX78+KRJkyIjIwMdFAAgZMEcEQB4QWpq6ogRI3bv3i2TyRB0VQMA+BgkbwC8Y/78+Xv37t2y\nZUtycvKoUaPcd/jiiy8KCgoQQiUlJQih1157DcdxkiSfe+45f8cKABA5mB4VAO9gGCY+Pr6q\nqmrFihVLly5132HUqFF79+51KZRKpRaLxS8BAgBCByRvAAAAQGSgwxoAAAAgMpC8AQAAAJGB\n5A0AAACIDCRvAAAAQGQgeQMAAAAiA8kbAAAAEBlI3gAAAIDIQPIGAAAAROb/AVmj4RRdudw+\nAAAAAElFTkSuQmCC", "text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ggplot(mds, aes(x=V1, y=V2, color=Species)) +\n", "geom_point() +\n", "guides(color=guide_legend(title='Species'))" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [], "source": [ "z <- cutree(tree, k = 3)" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": {}, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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nrnfxWf8rKAEIpjov4V//BU0wjVAhAktPlwcHZFUz1RkjDMGGifk6YwUNw1Ws/c\nLiwlTxmgscIvoFPgmrf/kKSQNMC7Weg/kMnc787cTedWlHtsWCKkpkmRUS0fihyTpiFtlocE\nWvF65ecvXf7ElbkRQsVcxT0F/yzmKlQLYHe2wZ25EUKihL89b8i+DP0QoJ7du3djjN9++20/\nxgBf9P7kmHWdbGqxUwg3bpLYL54sUthmjcrPZb/7yvj6f4I2/pvd+QluqLctvOW35WF6g3P6\ntVCdDXS3/1Z86tFiEa3vVHnO3ug+x4sVtg/+5SJcKuotysrKVq1alZaWZjKZzGbzwIEDb775\n5vfee8/fcakNfq76k2wKti5/kD55jLxcLrGsMHCwGJeIEEKSwsAdUXmZKCt13abr66nCPNuy\ne+033oIFHtntcpAJFnmD7ibJ0iVOYaJGCV+pWgx2pbXXNs7HH35JRgT8PQWe3Nzc8ePH19bW\nzp0795ZbbiFJMi8v7/vvv8/Ozr7tNp9VBmzX9OnT7Xa7f7cdguTtZzLNcFeN82iU+sWTVV7j\nkM23QsEIO5y6fd/Zb1giUzQyQbcDqIHARB86tJz33CcmllavgFofk1hU4/nF1dessKbLxmE7\nT4QaxE6l4aIa6qtzxou1FEWglEh+7lBruLHrE+IuN5BnLukaOaKPSRgd54TF1lfo73//e1VV\n1RtvvOHeIMMlO9v3lQHbQBAE2+GCHN0Vg39fvrcTRTr7nO7QAfr0cdxsWyHHpGkew+kKq78w\nIi+VqBAjAM2tjLzeo8VIsLeGz1QtgGsHe+4bFqSTpg5osUq7spHcmGn+89fhz+0O/fNX4Qdy\nO1q5qMxCvZZpLqimRQk7BXymjHk102ztarf+p0L23/tCd503ZOaz208GvbAntNYGX7lX5MKF\nCwihBQsWeLQPGjTIffuTTz7BGH/44YfPPPNMYmKiTqdLSUnZsGGDx0MEQVi/fv2IESP0er3J\nZJo2bdq3337rccKGDRtGjx5tNBpNJlN6evqaNWtcd3lf82772QRBWLdu3bBhw0wmk8lkSklJ\nueuuuxoaGq7krYBPkt8QlnrjW6+yOz9hftzHfvO58Y3/UIV5TffpDdZlK7lRGWJUHzGqL3fV\nOMk1nO6hp+yxBjTk/0XduDxyrvswigrdmLg6WRejWgADIvllYyxhBhEhhBFKCudXTrCY2N96\ntE4Bb/opOK+q6feuQ8BfnDUeLOhQP+nLswZeapGq6+3EgVxDF+KsbCQ/P20Umjxu3zMAACAA\nSURBVI0I1NqIj46buvBUwG3AgAEIoS1btrR75qpVq86cOfPJJ5+cPHnypptueuyxx5566in3\nvaIozp8/f/Xq1YMHD37++efXrFlTV1c3e/bsDz74wHWCIAjz5s177LHHTCbTn/70p3Xr1l19\n9dUff/yx4mu1+2xPPfXUk08+mZ6evn79+g0bNixduvTUqVNXuPEu1tzuzq2x2Ww2mxpFFXyy\nnzdCyPDB22TJxeYtsl5vXf6QrFf4pqBPHWN3feHRyI/McMyc08GXg/28VaaJ/by9kSTZkf28\nS7jKU7Y8E6kfbRxkIPwzfmjjCIqQGUpGLffzPpjPfno6yONkIyP9aXZNu9NC1n4T5r1DycAo\nbsX4Tn/P7s/Vf3lWYd3mjIH28gaSIuTBffhR/Rx6Pezn3QkXLlzIyMior69PSUm5+uqrR40a\nNXHixLS0tObnfPLJJ4sXL05KSsrJyXHvIr106dKPPvooOzvblf7/+9//PvTQQ5s2bXJvVsnz\n/Lhx40pLS0tKSiiK2rBhw2OPPfbwww//+9//xr9+biRJIggCIbR79+5Zs2a99dZbd911V0ee\nLTk5OTExcc+ePT58K6Dn7R+Epd4jcyOEsN1O5l1QPJ8fNlJITmneIoVHOCdP7674AGhTPyby\nupBxk03D/ZW5EUIGRmKU1mRXWknvRitH2Pn2v+4Un5Bp5UK1ILX1W8DZymYn3+foz5YxJ0t1\nW48FvXU4WGu/pf0sJSXl1KlTv/vd7zDGr7322v333z9s2LD09PTMzEyPM++66y6q2djkypUr\nJUn69NOmtRLvvPNOVFTU0qVLHb8SRXHp0qWXL18+efIkQmjLli16vf7vf/87bvaLj2hlIW67\nzxYSEpKVlfXzzz/78K2AcVf/wHblQQLC0coPcIztN95CnTtNF+XLgiDFxvEjRnvUXAMAIISC\nGIV8SBIyQ7VfqHxYDLfvgucF8vSYFp1LUcL7LugzC9hGJ2HSSROTHVMG2Civb/WOlCM9f5n5\nqUCe0B/Kn3VCfHz8iy+++OKLL9bX1x85cuTDDz98++23586de/r06bi4OPdp/fv3b/6o5ORk\nhFBeXtOlyaysLIvFolfaxqmiogIhlJOTM2DAgKAgzyEcRe0+2wsvvLBkyZIxY8bEx8dPmjRp\n5syZN998s8HQlcsxbvDt7x+SORSRJBI9Z7FK4a3P2sVYGJouDE3v3sgA0Lj0WOeeC3pebNHx\nHdXP2Ty/llmogwVstZUM0YtjExzuTbuvGWwrqKaKan6bH5oR7xjRr8VsuM/PGg/mN403NDiJ\nb7IMDQ68IN1zGt3QaC45nM+vbmclyLkyEpJ315jN5lmzZs2aNSsiImLdunUffPDBE0884b7X\n6Wzxv+Y6bD4AnpKS8s4773g/7eDBgxFCsizjDi++bffZpk+fXlBQ8M033+zdu3f//v3vv//+\nmjVrDh06FBsb28GX8AbJu3vhxgY6+xxusEhh4UJqmkw3VYaSWdaZMV7304/NTxbjEoWEJH+E\nCXodTuLfqPpij+WYTXKMNAx8pO+iKCrU30H5RmSQuGhE47aTQdyvA9fJ4fz8Yb8l1zNlzPtH\ng3+dSkYfvcjeNLxxbKIDIUQR8oOT6k+W6opqKIpEA6O4lMgWhVerraQ7c7tlFugn9Xd4rCgj\nMFo2xrLrvPFkqc7O4wijaHEQ3mPpovb2LQs4o0ePRggVFxc3bzxz5oz3oav/jRAaOHDgmTNn\n0tLSWutbDxo06Ny5c42NjR3pfLf7bAghk8m0ePHixYsXI4Q+/PDDpUuXvvTSS88991y7T94a\nuObdjaj8C8Y3X9Ht2cX8fIjd9YXx1X/p9n5LFhe57uUmTnNOmNqUzgmCHzLMvmARFDcFKhBl\naUnemjWlm/Y3nPjZev61yp1jz95/3KY830KLRvZzPjmj9uZRjfPSrPdOqL9vUr3u14vZvIS3\nnTAJLVPmztNGi6PpTw9jNKKfc0G6de5Qq0fmRgiVWRQuqLfWbmDkhemNf55T/fd51atn1PaP\nUCjAnhwJ2bsTvvjii/r6+uYtsiy7JnUPGTKkeftbb71VXl7uus3z/Isvvogxdq8xW7ZsGcdx\nq1at8pjAe+nSJdeN22+/3W63//GPf/R4LcWo2n02jym348aN827sLOh5dxu7Tf/VZ6jZVEzs\ncDJHf2KO/iSZgoX0UdywkdzEqdz4ybixARmDZFL5SwEAn3uv+tvMxtPNWxol2+ycxx+OWrQm\n7m5/ReVbJlYaHaew815pHeW9bpuXcEE1PTzWc0tvb7pWti1pezsTkpARQtenWfOq6Oad774m\nYUoKhxDUcuuoDRs2LFmyZObMmaNGjTKbzZWVlZ9//vmZM2fS09PvvPPO5mf2799/7Nix999/\nf1BQ0Pvvv//TTz+tXr06JaVp2u9DDz20e/fujRs3Hj9+fMGCBZGRkcXFxYcOHTp58qTrKvVD\nDz30xRdfbNiw4cSJE3PmzAkODr5w4cKuXbs8OvQdfLaYmJh58+aNHj06Nja2oqLijTfeIEny\njjvuuJK3ApJ3d6GLClBrs9IaLEzmPubgAefU6VzGBDnYrHJsoJf7sWXmdpFk+d+XP05g+z5k\nXKR+SKppbZjaXZJYkHBhNdXgJPqYxBiz59XoxDDBzEr1jhYjZGa9lBDe/nXrcKP46LS6b88b\nCmsoHYUGRnIzBtkYUqFUO2jNP//5z+3bt+/du3fjxo1VVVUGg2HgwIHPPvvsI4884jH/6+mn\nn87Ly3v11VdLSkri4uJefPHFxx57zH0vRVGfffbZ66+//vbbb//jH/8QBKFv374jRoxYv369\n6wSapr/++usNGza8++67a9asoWk6KSnJNejtrd1ne/zxx/ft27d+/fr6+vqoqKiMjIy33npr\n/PjxV/JWwDrvTuvgOm/65C/st1+2+2y22+4RY/r5KLS2wDpvlQXyOu97C5/fUXtA8a6BbNzp\nsVuusHyE+pqv8277TAeP1+4K85jOhhD6/azaMINYVEN98IupxtY0DDYoirvtqgaWbvEnk1dF\nbz4S7OCbnkFPy3eNtSSFd3FPUpaFdd4+5lrnvWPHjhtuuMGPYXQ3uMLaXaQIz/06EULIK28y\nx3258g+AjpgYNKy1u0o59bYY8QuWlq9P80zwMwfZwgyincdbjga7MzdCKLuC2XHKcwpS/wj+\niRm189KsE5Md89Ksq2fUdjlzA9BlMGzeXcTYOCFlMHXhfItWLHtc38Ja6+KAHuD28Gu21e47\n1HjW+654XZ/mh06Zz7IXOmU+lU0IJhXqhWnRuERHiF76MV9f2UiEGaSxiQ7X1e6zZUy93bM/\nc6JUt2CY1cC0GG0P0klT+musrwx6GEje3cgxZwFjCqZPH8e8+4e552CdFKHedkwAuJCY+GTA\ns3+79M6rlZ9Jcou09GCfhe7b39QfXl38X9ceYgaCfSJ66UNRN6oda/cY3Icb3MdzvNfiUBiJ\nlGVkcWADgxBC9XYit4qx8zjWLEBvG/gXJO9uge12hJHM6p0zZjtnzKZKinX7vyO8NgGTSZIb\nM8EvEYJejsHUX2LvGRc0ZHXx/y7zNQghHaYf7bvktohrXCectxfdW/i8XWqagG2THH8ufSuG\njlgYOsVvQXezMIPCZDaCQCF6CSH080X201NG98XyQVHcnWMbKEJjM0h6g0WLFmluZk8XQPL2\nMfJiIfv9N0RVBUJICjbzw0fzw0cL/eKE2+4hyy/pd36Mf12kKOtYx4LFkjnEr/GCXm2Oedw0\n08gz9gKb5BhmSA4jf9uI9s2qL92Z2+0/FduvMHlLsvRezXdvVHxxkb8cT/dZHjn39vBrCBwQ\nk2+GRnNRJrGiocWizfGJDpaWyyzUjpPG5sXMsyuYr84amtd+AUBNkLx9iayq0G97H/86EZ2w\n1Ot+2MMc/tExY46QNlzsG9O48v+IulryUqkUHiH26Ys6XH4PgG6iJ3QZxsHe7cVchXfjRe7y\nFb7c8+UfvFD+oev2ObHw8eJXirmKZ2KWXeHT+gRNyssyLFuPm4prm74YM+Idc4daEULHS3Te\n25Acvcj2vORdUE0X11IMJadE8h4140BAgeTtS/TBA9hrCRnmOPbbL+2RUWKfaISxFBomhYb5\nJTwAOq4vrfApjabCr+Q5L3FV/7r8kUfjhssfL4uYHccorc5QXZRJ/H9T6qoayQYnERUkBuma\nBtKtToXf2Q4BixIme8rIuSihLUeDz5Y1lXAmCXnOEFtAzcuTZVmSfFmQDmPc2kZhgQ+Sty8R\n1VVNt1pOKseCQJ88Jl4z1y9RAdAFd0XM+aRmn1NuMS1rZdT1rZ1vEa0f1nx/wVESRYfeEDI5\nhVWoXnDani/KCl++J225YahPWT3FUHJ0sEi3sgWnOjBCkUFiZFCLTmdEkEIfNFQv9pjMjRDa\nnW1wZ26EkCjhL84Y40ICaGqeIAgOh0LVvC6jKEpxKzBNgOTtU+yvOxZ4/EzHCDc2qB4NAF03\nwpDyQtxDz5S+bhGtCCGGoO+PXHBH+LWKJ19wlNxw4ekKodZ1uKH8oxfiH1oaNtPjNJZgvB6K\nEEJlxal/LwzjJYwQMrHSjemNQ6MVSn/40dgEx8ECvcdCsmtS1agKpZpjJQpbsx8r1gVO8gbN\n9ajk3fEd3K78hRRfix86nCy5qPgQOTTM4yG4rpYsv4QoSozpJxtUWkGr2lvkWxoNG2kwctdn\n2yo5ztkLU/T9fkz9T5bjok1yjDIMjGVaXdb4YNF6d+ZGCHGy8GTxqxODhiXo+jY/LSMoNZwy\nVwstNpZIdyy8UJHiPmxwEO//Yvq/qfV9gztxwdX9PnfTG27UoeXjLdtOBBXVUAghAyNfM9h2\nVbwPypLjX/kizCuieGnAyhFtxBYgkfdOPSd5UxQVEqLGzG2CICiKUl6KMOVqqaZS/Pknz4+z\nTsdOna5vFp70zRdS5r6m/bwZhrhuAdHNa8Zcl3bMZu3VUScIQp3/WZ8jSVJzkWOMXy/97Mnc\n/9YLjQihcNq8PuX/7ujb1hWfi47LJ7x2JLNLzkz+7PA+LabChSD01tBnlpz+g0Nq6lizBHO1\n40GPQkW8iI+Wmm+P78TVTVcKYVmWYZQ791cuJAT9IR41OsRGJ4oKRgRmEVLoqnaWK3Kdzv8V\nzvuYUbFXGeL4SFrxM+wK22g0elQUB6rpOclbEAR1CjK3U9t82jXkoKHMoQNkYT4WRYSQZA5x\nXDNXJChU29Q1oU+fYA98/9tDOE769ONGvVHsF999Ybtqm9fV1WluBWRYWFhtbW375wWYiIgI\nURQDs7Z5Gw5YT96fs859WM3X33lubYRgGmNMbe0hlxzliu2VjTXe/3HjidQfUl/ZUvVtobMs\nQdf39vBrNu9RGHYqr+Vrazvx5+yqbe5wOLxrm8sInS9nSusplpYHRnJRpiudQa1DqN53/6uB\nU9t81kBm00/BzVuCdNLomLraWoVfUa7a5o2NjQFY27yX6DnJO3CI0bH2G5dijsNVlZihxdBw\n1HK7T1qpnjl94pduTd4AdMQr5du9G/9X8emYpFaTd6IuOojUN4qe6WeYPln5fKbvH5qtDQtm\nJRvnuR9uiFK9lC7gRPzGweDCGtp1SBHG2UOsATWDOnAM7sPdMqrhy3PGBgeBEIoPFW4c3mjS\nwXbjAQqSd3eRGUaOiVW8i7A2KjTCjDYQALqwvFuH6T/F3PVE8f+aN15jzpgWPLIjrzgx2b7t\nRIvNPyhCHp/om0nFX501ujM3QkiQ0BdnjAmhfEJY+zt49kKj4pyj4py1NkJHyQZGY0N0vY1W\nl7hpmuS9gbeMJK1dHAXaIsnSSVvuN/WHcxzFbZwWzSgMeMbQ7YyC3h1x3cvxj6aw/QhMRFGh\nD0XduDFhNe7YZK6xCY6rB9qpX7+KDIy8ZGSj90baXXO8ROFa8olS/19gDmShBgkyd+CDnrcf\ncGMn6ndsbd4i0xR/1TiP04iaKio3BzkdclRfPmUw0mwxAeB3uY7S+4qeP2XLcx3ODL7qlYTH\nwqhg7zNXRl5/wHLCo3F5RPslCm4Jn3FL+AxBFinsOQberjmp1glJ9tI6iibluBDBY//s1jgF\nfLGWsvNEjFmIVvrpK8nIISgVV+HhTwkoO3z48HPPPXf8+PHCwsLly5e/8cYb/o6oVZC8/UAY\nMMgxc47uh73Y6UAIySaTY+Z1Ysv9v+ljR3T7vnNNeUMI0ZF97DcvkzVbTwD4EScL9xT+I8te\n5G7ZbTn6WPHLm5Oe8T55buj4vyXft7bgLYfMIYQMBPvH2Ds7OACOEOpC5nYxs5K5byfWdp+/\nzHx0PKjR2ZSGxyRy917teQ6BUWSQZ61yhFCUqalbb+fx/gv6olqaJFBKJDcx2QEbjWgdrrhM\n5F9AHCfH9pOSUzpbgtpqtQ4YMGDRokVr1qzppgh9BZK3f/AjM4S0EURVBSJJMTzSY0YbWXlZ\nt2+3O3M3tXz/tWNeD9mQEahpf8Px5pnb5au6n4q5CsWipKvibr3BOPGYNYfExCjDoHClDrp/\n1drI946anM161UcKmT7H0ewhnmfOSbVuPtIi/lCD6LqgbuXwS/tDa21N6T+ngj51SffApDoK\nuuWaRf6wh9z/20IeOak/f/MdiKLbeIiH6dOnT58+HSG0bt26dk/2L/ic+o1M02J0rBjV1yNz\nI4TI7HNY9LzmR+dkIRH2CQCdVspVtdJe2dpDoqjQ2eaxs4IzAjBzI4SOXtQ5vcbDvz+HvHvN\nQ6O5paMbQg0SQojAaGAUt3KCxTUs/805oztzuxTXUj/mweCWVuHC/OaZGyGEC/LIfbv9FU93\ng5632siKy/ThH8nKy7IxiB80hE8f5X0x2zWc7kkUMc/LXpkegLbFKs1BQwi1UTEtwFkcCr0O\nG4c4pVluI/s5R/ZzWjlCR8nNR8VzqxQ6ZLlVzLQUWEimSeTZUwqNZ06KM+eoH4wKIHmriiwu\n0n+8pWk8vLqKvFhIlZbY597gcZoUoTCYKQebZdYHFZ1AbzPVNDKVTchytBg5nxcyIUA28uqC\nUKVV4CYW6SgkeG5B3sTIeD5EUrq6rbUKRqAZxT6PTzcyCSgwbK4qdtfnuOXQN3XuFFmY53Ga\nMHS4FOn5xeqc6rnNAwCtKedrnil5/YYLT9+d/49Paw9sSv79CMNv9cOvMWesj/t/fgzvCl0V\n7zB6rWWak965J0lW2m+jfwRswqFVcoTCSJKk1NgzQM9bPdjaSNR61Q5GiCwpFhP7N2+RKcp2\n41Ldvu/o3GwkipI5xDlxmjB4qFqRAm3LdZRek/O7BrFpz6sv6g8uCZu+a+ALZx2Fl7iq/rrY\nAaxy+SCtCGalZWMsHx0PqraSCCGSQFMGOK9N03n3sngJny9nam1EmFEa1Iejmw2bzx1qy6lg\nGpy/dWD6BgtTBsCYuVaJGePJE0dRyyLZ0gzlffB6AEjeCCGEOY7MySItdWJwiDgwVe6mvQ1a\nW7TgsduYwGOrVTIFO+YvckgS5jgYLQed8njxf9yZ2+Wjmj03hE6aFZzRWslSzUkK51dPry1v\noOw8jg4WzUYSY8/SK2UW6u2fTLX2pmkioQbx7nENfX9dJxakkx67uu77HH1RDU0SaEAkd/UA\nOywV0zC9gV96N/XtF7ioAEmSHBomzpgtJQ3o1HPY7fbs7GzXjZqamhMnTmCMhw8f3j0RXxFI\n3oi8XKbf/qF7v235hz32hTeLfWN8/kKywShGRJFVnuUnxcSm71NsbdTt/pq+cB7JskzTXMYE\nbvxkyNygUzhZONR41rt9n+XErOAM9ePpPgSBmhVi85zIKUrovaO/ZW6EUK2N3PKz6bFpteSv\nne0gnbRgmOdGJkC75Mgo/rZ7EM8jgUf6rmx3lp2dPXJkU1WDnJycHTt2kCTZ6jZUftXrr3mL\nIrtzG25WVxw3NrCfb8PdsyjLOWe+TLX4wcSPzBBj4xBCSJIMn31M52S55sxgntcd3M8c3N8d\nYYAeTEayrLBmCklyz9lhorCG3p+rP16ia1Cadu5ysZb2Ls9S0UBerO3Eql+gSTTdtcyNEBox\nYoTcUmBmbgQ9b7KshKjzvA5N1NUSpcVifKLPX07sG2O750HmyEGi8rJkDBIHD+UHNdWVoPIv\nEKUeRadl3ZGDfMYEOQD2+gVaocP0SEPKca8Ntseb0vwSj285BfzSvpBKa1NWJgl04/DGjHiF\nGcVWTvkqlZXr9T0W0CP09uSNW9lGl3DYfdX1xjzHHP2JLC2WERbjE/nRYxyzrlN4xZpq74ci\nUSTq68SoPj6KBfQKL8Q9dF3Oaqf828TpWcEZ14dM8GNIvvJqptmduRFCooS2nQhKCOVjwzzP\njDAq/wVHGAO0IwVAp7TzI7SsrOzxxx+fPXv23XffffDgQY97X3vttbQ0bf+cl8KV61eI4b5Z\nYIA5zrD5debHfWRBHlWQq9u/W//eW4pj8nIr4zxS83ZRpHLOMz8forPPYR7WtABl6Yb+ewb/\ne1HYtEFs/Bhj6l9i73k76akO7vEVyBqcRGmdZ39DktG+Cwpl0foGi+kxnou+02OcfYOhTCHo\nCdrqeVdXV2dkZJSWlroO33777SeeeOKf//wn/nV2dEVFxdmzClNjNEQKixDShlNnTjZvFIam\nt5bUO4v5cS9R26JLTV4uY45kOsdP8ThT6J+C9AZkbzFJWExMlk0m122itlq/7UP3s8mmYPuC\nxWK0ttf8gG4ykI37X8Lj/o7Cx8osyt9XNTblsoOLRjbqafnni6wkIwKjjHjH3DSYngZ6iLZ6\n3s8//3xpaelTTz1VUFBw+PDha6+9dt26dffff7/cs6oQOWZex40eK5MUQkgmKW70WMes9jdA\n7CCyqMB78hBZmO99pmww2ufe0HzfMCkyyj57wa93y+zn25sPreMGC7vzE+h/g94jyKtKmoti\nwTWEEEvJN41oXDuvetX02rXzqm8a0chSPeq7C/RmbfW8P//88ylTpvz9739HCCUmJn799ddP\nPvnk888/T1HUK6+8olaE3U6maef0a53TZmFro2wM8u222RjJCqOVrfz6EZIGNC5/iMq7QFgb\npPBIITnFHQxZVUFeLvN4KsJST14sEPoP9GHAAASI4loq6zLjFHC/EGF4jJMgUHSwYGIljxnm\nGKNZg63eS8XcaEKOMsFQOehp2krehYWFCxYscB9ijNetW8cwzN/+9jeSJF966aXuD09FBCGb\nrmADJVEk6moRQUjmkObpX4yNI6o8924S+yW0+jx6g5CmVBDAZlNoRAjbldsBuHLf1B/ecPnj\nbMfFSCrkptCp/9dnkZ5QaeHDrvOG77N/m+2xP1d//8R6lpaXj7P870eze0sxAqMF6dYwg9RG\n8gagR2oreRuNRqfTc8bHs88+63A4XnzxRZqmQ0NDuzM2zaDPn9Xt2YWtjQghOdjsmDnH3Rt2\nTp5B5V/ADb+tI5dCw7hxkzr7ElKo12xahBBCYmh4l0IGoB07ag/cW/i863ajaH+h/MOz9sLN\nyU+rMPEtr4punrkRQpfqqc/PGBePbIwxC89cW3OsWFdcS4UHSWMTHCZdz1m/DtpGEARN+3KZ\nPuHTcVaVtZW8Bw4ceOTIEe/2F154weFwrF+/Pi4urtsC0wyy5CL7+Tb3IbbUszs/sd+23LW+\nS9brrcvu1R36gSgpQpgQE5K4sRO7UH5VDjbz6SPpU8ebNwpJA6SYflf+TwDAgyCLT5Vs9Gj8\nuv6nPZZjM4JHd/erny5T6N+fuqRbPLIRIcRS8oQkB0rq7ihAwCFJkoQ9kX/VVvK+7rrr/vjH\nPxYWFiYmJnrc9fLLL3Mc9/rrr3djaBrB/PSjRwsWBPpIpjjvRtehbDA6Zsy+8hdyzpgtUxRz\n8hgSRYSxMGSY/eprWq2XDsAVKOUrqwWLd/sJ2wUVkreT9/xUywhxInZNGkcINTiJsnpST8vR\nZhGqkfcekiSJPq19SRCEdn8NtJW8ly5dWlFRkZub6528McavvvpqZGRkXp7ndpa9DVFXq9Co\ntHvYFZIp2jljDjftGlxfK5vMsk+HjwBojsXKg0PqXPOODhYQavFCGKE+JoHASEbo63PGH/L0\nooQQQsGsNG2AbVgsFwF/Db2AKIoOn+7PTVGUXq9QJEAT2kreSUlJGzZsaO1egiD+9re/dUNI\nGiMbjajWsziabAzqrpcjSTnMN2vQAWhNHzpshCHlRMsaqzpMq9DtRgiNS3IcLmIrG1t0ia5P\nsyKEMvP1zUuyWBzEzjNBO8+gIdHCimlIB+NQoNdo63L98ePH27gXuHDpo7wb+eEKjQBoyH8S\nHg2jWqy/eCZm2SA2XoWXZkh55YT69BgnQ8kERtHBwj3jLCmRPELohzzlftK5MurVvUiCEXTQ\na7TV8x41atSoUaNWrFhx6623ms1m1WLSFmFoOld5mfn5kOtQJkl+/BRYew20bhAbfyj1f+9U\n7zpvL4qkQxaGTBllVO9THaKXbs9okBESJey+qi3LqM5OyEh5vntOOcqrJGKMqsUIgD+1lbyv\nv/76r7/++sEHH1y1atXixYtXrFgxaVKn1zj1Bs5ps/jho8nSYhljqV+8ZA5p9yFEXS2urZFD\nQltbAwZAZx1oOLm9dn8FXzdYH78y8vpo+kqXEYZRwY/2WeyT2LoGI9R8PhrGKJiV6u2tjhdW\nNmBI3qCXaCt579y5s6ysbPPmzZs2bdq8efPmzZtTU1OXL1++bNmyyEjf7NvRY0ihYR1Mw9hm\nZb/+jMrPdR2KCUn2OTe4C5gD0DUvln/4z7L3XLe/s/y8qfLLnSn/TDf0929UPjcp2f7l2Vbz\nc0gXN3EGQHvaWaIeHR39+9//PicnZ//+/cuWLSsqKlq1alW/fv2WLFny7bffSlJXyiMcPXr0\nkUceuemmm+65557333+/jUrpHT9TQ9ivPnVnboQQWVSg/2Ib6tI7CYDLOUehO3O7WCXHQxf/\n5a94us+U/vaJScrb+PY1o5QoKIMKeouO1peZMmXK5s2by8rKXn311eHDuQvkQwAAIABJREFU\nh3/88cfXXnttcnLy2rVrO/V62dnZzz777JAhQ9avX3/77bdv3779vffeu8IzNYSorKAKPBfX\nkSUXybJSv8QDeoZ9FoW5peftRSWcZ2lercMYLUi3Pn1NzeKRDZFBv6XqKJP04AxEa3XJLgCd\n1rnicMHBwffdd9+RI0dOnjx50003FRUV/elPf+rUM2zfvj02Nva+++5LSEiYPn36woULd+7c\n6V2EtVNnagjRUK/cbqlTORLQk3CSoNjOy8rtWheilzLinaum194/qX7xyMYV4+tXz2ro153F\nms+VMx8dD3r7cPCu8wYbp+GamqBtmzZtmjlzZlRUVFBQ0MiRI998801/R9Sqtq55K+J5/osv\nvnjjjTd27dqFEIqI6Nya46ysrKlTp7oPR40atXXr1vz8/NTU1M6eKYpiTk6O+wSTyRQU1F2r\nq5vDGHe5KA9hVv6CwSGhFNXp/4tOce3CrtFyQt395nQTjLE6kY8NHoLKPBujqNBkQyyJO5dp\nCIJQLewrN7CPjJCAfv2EEATRHZHvOKn/IbepaMy5cuanAv0jVzdEBPnmUpe23nA3V1VwkiQD\nKnIZyR9V7dlVd8QmOkYZBz4QvdBEdm4exDvvvDN58uTHHnvMbDZv27ZtxYoVPM/ff//93RTw\nlejE+56VlbVp06Z33nmnoqICYzx9+vSVK1cuXLiw488gy3JdXV3z7Uxct2tqPOuRdeRMi8Vy\nxx13uA/vvffee++9t+PBXImuF8c3m/mk/lLLkXMcGxc8NN23W5G2JiSk/ZnwAUijYZMkqU7k\n14dMXVo/64Py75o3bhz6+/CurmXQ6Buu0+l0Oh/XgDtfhn7IbdFi5fD2U8FPXOfLV9FonS+j\nMYAm98tIviNn7c6apnrVX9Ueervy6/1p/4mkO/Fh3rdvn/v2pEmTTpw48fHHH2s1eTc2Nn70\n0UdvvvnmwYMHEUIxMTFPP/30ihUrkpL8vDMAy7J33nmn+zAtLc1uV57J4lsMwwiC0LXJeggh\ntPBm4pP30cVC15Ec00+6aam9+y8H6HQ6giDUeYt8i2VZ39ZEVIder5ckSbULPa/2Xz1Mn/xR\n5Z4yZ3VaUPKq2KVTTSPb/u/mZaHUWRnNROiI336MYoxpmuY4rvtD9iWCIHQ6nSAIPM/79plP\nFNLe35PZZai+wc74os9JkiTGWBA0doGDoijX50Sx2Lhffot8XLXXnbldSpwVTxb+d1PK011+\nTofD4V0dPEC09ek7dOjQm2++uXXr1sbGRpIk582bt3Llyrlz53Z56BVjHBISUlv7WzFw1+2w\nMM/+QUfO1Ov1Dz/8sPvQZrNZrdauBdYpJEna7fau/7GRFFpyB1lRTtTWSOYQsW8Mwhi1GTmV\nf4E+fw7ZrFJEJDd6XNfWlVEURRCEzWbT3KR9nU6nzv+sb7mSt5qRrwyZtzJknvuwjZd2yvw/\nLm15vXInJwsUJheHXv3X2OUhVBBCiCRJgiA094bTNK3T6Xie71rknIjL6imngGJDRCPT4ne5\n3Wn0/p6UEWpotLG0D/6UWJbFGGvuV7XBYKBp2uFwKP7O80vy3l131Lvxu7qfu/yEmzZt+uWX\nX1566aUrCKobtZW8J0yYgBBKSkp68skn77777tjY2Ct/vdTU1GPHji1fvtx1eOzYMZZlk5OT\nr+RM7cFY7BMt9onuyLm6A98zhzObDgpy6RO/2G+7R4yM6sbwQE+3pvTNNyu/dN0WZPGDmt2V\nQt37/f+kwl7dAehMGbPjZFCDk0AIkYQ8PcU+a7DNfW9CmPCD1+5LfUyiTzI38CEBKYwB8HIX\nVw9u3br1oYce2rx5c0ZGxpXF1V3aus66ePHib7/9Ni8v7w9/+INPMjdC6MYbbywtLd24cWNR\nUdHevXt37Ngxf/5812WqzMzMJ5980maztXtm70GWlf6WuRFCCGGe0331qb/iAT1AOV+zqfIr\nj8bdlqM/W8/7JR7/utxAfvCLyZW5EUKihL/LNvx8kXWfMCzaOTDKcyj+xuGN6oUIOmZMkOes\nZ4TQWNOQLjzVq6++evfdd3/wwQdLly694ri6S1s9748++sjnrzdo0KBnnnlmy5Ytu3btMpvN\nCxcuvPXWW113VVdXZ2VluYej2ziz96CKCrwbyYpybLPKhgCaKgI0JM9ZKiOFXuMFR8kYo8LX\nX8/2U6GeFz3HGw7k6jPim6ZZYIzuHGvZd0F/5hJj5YgYszBrkC0uVGOXqHuDe6Lmvl/53Qnr\nb1vhGQh2XeKDnX2ev/71r88///zOnTtnzpzp0wB9zA+z/DMyMhQHIubPnz9//vyOnNl7yK3t\nPO/THelBYCrjq/VY57oU7UMee4U1a++NNXrrlCql19paNNKEPGuQbdYgm/eZIHAwBP3lkOef\nL33/u7qfG0TbVUGDn+63bKA+rlNP8uijj77yyisvv/xyRETEiRMnEEI6nc57JXMgCKAlesCb\nFNtPoTHYLAf1xu/Z3uOTmn1/ufRWOV+DEMowDl4X92Ca3meLOwaz8emG/qdsLS7kxjARk4OG\n++olNMSsV1g2EmKAcsWaZCINf41f8df4FV1+hi1btgiC8MADD7hb+vfvn5ub28ZD/AVKBQU0\nIbE/P8jzmo3jmnkI98aJRb3EbsvRB4pedGVuhNDP1qzFuX+sEGrbflTHYYQ3JqxOZPq6WyKp\nkNcSVweRmlxqfIXGJTpowvMiwqRkjc39Br5SVVUltxSYmRtBz9v3JImw1Mk6veyjxRKOuQul\nmH5U1hnCbhMjopzjJkkxCt1x0GP8o2xLywZcJdS/Xvn5M9HLfPUSA9jYzCH/+6b+cJ6ztB8d\nOds8trVCVDKSP67Z+0HN92VcdbIu5sGoGyaZ0n0VRiDoaxJuHt24/aTRVfSUJNDUAfZxidqr\nKwB6G0jevsT8cpjJ3I+dDoSQ2C/ecc08Kbxz5WMVkCR31TjuqnE+iA9oQa5DYZeaC44S374K\ng6n5IRPbPe2vl97+z+Xtrtt5ztLvLD+/mrjqptCpbT9KW9JjnIOjuIu1lCDhWLNgYmHMHGgA\nDJv7DH3quG7PLlfmRgiRJRf1n7yHNVgaDPhXqNLEsTDSc5aZXer22m3n7UXuzO32RPH/HLLG\n6q+1i6HkAZH84D4cZG6gFZC8fUaXuc9jAQ5hqafPnPBTOECrbg6b7t24JOxq141qwfLIxX8n\nnVoSf3JRxtmVH9Z8332R/GxTWPltEa3nbIXd96IAgI6AYXPfwDyPGxu861MRNdVNt0SRPnOC\nLL8kMzohqb+Y2F/lCIFWrOp7y1l7wa76I65DBlNPx9wxLmgoQkiQxTvy17qrqRRy5Q8XbZBk\n+dbwblmQSiLlQsgUbtEuylIxX2EV7SlsHIPhKwUANcBfmm/IFCXTNPbaFEEyGBBC2OEwfPAW\nUVXpamSO/iRFxzqmTBfj/by5CwhANKa2JP/xUOPZo9bzJtIwxTQ8WRfjuuuLuoPeddD+cumt\nJWFXeyTULuMk3l39Z6IpjcEU13JT8CgqNFWf4D481Hj2sYsv5zlLEULBpPGp6NtXRM5DAIBu\nBsPmPoKxMNRzmaxMUcLgNISQbt+37sztQpSVGra+y372MdLaNiFAHeODhj7c56a7Iua4MzdC\n6Jy90PvMGsFSxld7t3eKRbQ+U/L6oNO3RR+7YeiR2z6o2Y0QSmD6PhPTYoo7g6mXEx+lf+1e\nF3MVd+SvdWVu15M8VbLx09ofrjAYAEC7oOftM85ps4jaavLXgqYyTTtmzZUiIhFCdG6O4kPo\nnCzpl8Mwkxx0kOKCLoywiVBe6NVBMpJXFqzb03DMdZhrL/m/on87JO7uiOsejFo4TJ/8Qc33\npVzlALbfvZHXD2Lj3Q98o/KLetFzF6/1l7feEDr5SuIBQBFJkizLtn9ehxGEhruvkLx9QZax\ntVE2GG1L7iCLi8iKclnHConJ7jpoMse1VlSFOncakjfooDnmcevK3veY7D3NNOIKS6jusRxz\nZ263v156+7bwaxhMTTYNn2xSLr5WxJV7NxY4yty3ZSSfsRcUOcv7MZHp+v7/v737jo+izv8H\n/pm6s7tJNtlUUkmoCR0VAQuiQQVUioKAiMeP4tnu1NNTz7OgWM7C6RdUUPHECqc0CxZADhCk\nBhEh1ISEkATSN9t3yu+PxSXsbkLKlkzyev7BY+czk5k3m8m8Zz7zKTSl4mslhB1N06pOt4GF\n5N02ksRv38zv3UW5nArDiH0HOkZcJ6VleG2lJHWhTp/yuwN31zKqrlazdRN76iSRZTE13Xn1\ntXJMbNCDB7XpLqS8kDrniZIlnvfQXfmkN9L/0sbd/m4r8C00S7aTjrKeQlNDQ8ez0b6FCVyM\n+0O5q3ruyVd+MR90Lw7W93y366MZDUZ2A2gRSZJcPu2K2oJhGI7jArjDUELybhPNlo38nh3u\nz5Qkcfv3Uhazbfxkr+FLbddcr1u+jJL8zEQkxyVQNpv+s/9Q5np3CXc0ny0+ablrrhJlCHb8\noDoz4m4cFtF3Xd0vFa7aPrrMiTEjNFRbrz4RtP/RABsr95gWO+rDyu98IryBEKIQ5c8nX/Nk\nbkJInuXo7MJXvuv5aqDa1kFnI8tyYJO3oijqTd6ogmg9ymLm9+70KmSPH2HKvEfIkpNTbLff\nKXVJIRd2JlNY1nnlSP6XLZ7MfW7Pdptm60/BiBk6gB5C6l8TJ81PnTPVmNuizL3HcviDim+/\nrP6fZ+B0t1GGy7S0xmvjS/W9k3nv8QEtsv2grdAz0PogXY8F6ffr6POvIacacx9IuJUQkm8v\n2mY+4PXjv1qP7bLkNz9gAGgMnrxbj66u8ttWnK6skHyGH5dS0qzTZzHlpZqN37uzuxSf6Lj2\neik+QVNe6rsTpsxPIUDrOBVxduG/vqs7V0uko4V/pf15ivE692I6n/hK2j1/K17kqY1P4oxv\nZTzUcA8uRZxf+tF7FV+7FJEQcnXkgAXp92fwSXfG3nB91GU7LIcskn2wrkfvP3qRlTor/UbS\nWDkAtAiSdxsI/isVlQvbQ1I2K1N4grZapLh4KSPLesf/o0QXkRWF589twfr5LSj+CgFa56Wy\njz2ZmxBile2PFL/VX9ctR+jqLplivO5SXe+van+ukGr7GbqP012hpy84jf9V9tnbZ1d7FrfU\n77/zxPz1vf9NEyqK0Y+LvtLriClcvN9I0jQJAfkfNSTKFI1RTaGTQYZoPSkuXopPZCrONCxU\n9BFSxvmhV9jjR4Tv1npGOJeTU60Tp3pNOCZ26+npYHa+sHvP4EQNndFnVRu8ShyK679Vm2bF\nj/28asMp59ksIXmqMffhpNsZhtHr9SaTqeHGVtn+ToPM7ZZvL7rxyCNH7MWiIvUW0p9JmXld\n1CWetdnajJGRgzbV72v4I5fpe1+q6x3A/9exCu7bg/oyE0tTJDuZTBhAReKSBp0D3nm3AUXZ\nb5p4QbMyrc5200RFc+6RhTLVCevWNJybhC4t0az/1ms3zkGXSZkXjJYqJ6e6hl0drLChk5EU\nuUas9y3fbz0+/NA9r5Z/vrx644ulHw/L//N28+9+93DaWek1zprb77YClyIqRMm3F0058WzD\n5mmEkLe7/q1hOr8iot97Xf/OBK63WHEN+58dUaV1rKIQSSa/l5A3N2rMDlzToFPAbWqbyHHx\nlln3Mkfy6ZpqJcog9ujd8KmaO3aYcnhP/cQdO6xs30Icdjk2Xszpq7AcoWnrrdPY/N/Z4pOU\nIoup6a4+Awi6M0KAMBSdzif69sneaz3SsMu4WbLdU/T63r5L9cRbLBtFU7SsXKRuel7pf77v\n+ZpnMY41LO/2bIGjtMBRms4nNt3rrBW+O6QX5QtagJrs1Obj2rF9vMeNAeh4kLzbSmE5sU9/\n/+tsVj+Fssxv+9+5n92ywdX/ErFbDyklTczpJ+b0C1aU0Lk9kjTlgeI3GpZEs5G1Po/jpc7K\nPMuR3MjLvcqNbNSYqKHf1G1v+ij5tiL3hxOO01vrf7PItkv1vS/X5zQc4TWAyk1+upz5LQTo\nePB4F0RytLHpDSibjd/5s+6z/whfryQymtwAIYS4FPE364n/mfZ5dehqiymx172QOieKOfdQ\nPUDX/f6EiX63tCr+pwl/Pf2+Ifpsz6JAeXctI4QYGD0hZOGZlVfn3//oqbefPf2fm44+dlfh\nCy5/Ve5tJ3B++no0LDxUzv93X8SyXVHrD+usjQ5yCHDeihUrhg0bZjQaBUHo3r37k08+6fCp\nPW0n8OQdRFLvPvKeX+iKsxfdkjt8UE5Mcg65IgRRQXu2x3L4geI3jtvPDRUwM27Mi6lzAzKq\nydz4W2bGjSl0lEUx+iTOeMxeMr90mdc2DEX302X5/XEjG/VNz3/tMB86bC9KYGMIRf2p4AWv\nbcbHXLXd/PtzpR82LFxXu2NB+YrHutzRurBPVHJbTmirLIxBkC/LsA9MOX8lHZDi+Omo96Du\nA/7YYM2BiO0F51qfHCzjNx3XXpVlv7q7Tc/jLrnDsjqp7w/y+eWsU6LSY6TRfR3Jhpb9ulmW\nnTlzZs+ePQVB2LNnzxNPPFFZWblkyZIgBdwWzLPPPhvuGALD5XIFdvCdxmg0GpfLJTfyoEw5\nHOe7ftG0lNmdrqqka2sIIYRmmphDjLZYXIMuDXy4fxAEgWEYm80WvEMEiVarVWPYOp1OlmV7\ng+aKF1UlmsYde+KU8/zd3q/WYwpRrops5L1MCzEUHcsaIhgtISSWjaqWTPusxxpu8Lek22+M\nHsrzvN+nDYpQaXzCIF2PnkJaTyHVqYg7LYc8a4dG9FmY8eCbZ7444DPY6inn2bsTxrUi4H0l\nmg93RlWaGYuTrrYyB0o1kkK6x5/7M+8a6yqu4aqt5+9sRvYSr8i0EEKOVXBrf7tgvHdZoU5W\nc7uKhG5xLoO2HeVvlmUpihLFoFROBA/HcRzHORwOSZJ81+p0bZoppzGyLDfxRYkSeXOT/kAp\na3FSdhd1pp7edZLrlyJGCo1fdWnaa4S1nJycSy65pGvXrqmpqUOGDCkuLt60adMDDzwQyP9G\ngODJO0Bkmc/bxe/aTlnMCs+LfQc6hl+tCFrZEG2bdAdlt1NWM11dpV29orEdUH5fkENnsrLm\nf57ByzyWnF37SNIUzyycAfR8yuwULn5Z5fenXRUZfNKc+Jv+FDem+T/+z+QZY6OHbTLlWWT7\nYF3PMdFDKULVSH6atVeJJt/Ci3JJ1OrfvCdc+emo7pI0R3yERAhhaTJ7eF1+OV9Uw2lY6pJu\nQnKky2IhhJAjZ3nfHRJCbC7qsz2Rf7+uBu1BO56fT/Cnay/4vbokatWvwn0jWnNplSTpt99+\nW79+/fXXXx+gAAMMyTswNLu2838MaEo5nVzeLm7fboXlpMxujmtGyYZoRRDkmFgpI9O3S7eb\nHOs9FCV0NiXOCt9Ci2yvlcx+pwBpI45iH0i89YHEW1u9h0G6HoN0PRqWdNd4jy1ICGldO/PS\nOsbu8vOi+mQ1507ehBCKkJwkZ06Sk+M4g0HwVND4exo8p9rKlJrY1GiVPenCRRVV+3m7VFjZ\n4ts0h8Oh1+tlWVYUZfbs2QsXLgxEdIGH+88AoBwOfvtm71JFoVxO9mi+bvkyym4jhBCKst18\nm2vAJYq/ofAdV44MfqTQrnXh/Ewlp6U10UybZvwMpbnxN8eyUV6Fj7fqhTftr4WZ0ki5l3Rj\nU7nZIZ7fxeEz/Gd7Ihf/bFi1P6LCjJbqKsZQfqrHuZb/Snme//XXX3ft2vXOO++sXr366aef\nDkBwQYAn7wCga6ubuNWnTHW6Ze8pPC/HJzqHXmG/fiwZNYY5VazZvJ4pLyWEyIZox7U3SCkB\n7gULQVUtmuokSzqfGMBRR241jnij/Itq6YJK5plxY4JRZx4kiZzxv92e+3vJO3stRwghXbjY\nZ1P+X8OhWpov2SDpednivODrZWklK+7iTVsGpjh2FwvHK/zcJTM0SYo6l9rXH9atP3Lu7WxB\nFbe7WDNnuCkrNhRNZyDgcrqIu4u8f+M5XVpcxUJRVN++fQkhl156KcMwd99996OPPhoTExOY\nKANHNReF9kzh/XSbaYg21SqEMJVn2aOHbFPukpJTpfQM652zKbuNyLKi8x0VA9qvw7aih08t\n2m05TAgxMPrHk6fPjrspIHtOYGM+yHr8/qJ/e+rPJxuvfTJ5RkB2HjL9dd2+7/lajVhvle0p\nvP8RzpuDoZVJg8wf7rzgOX50jjVG23id+B8oivzpctOmY9rtBYLNdUH6z+1l1fMKIaTcxHgy\nt5skUyvyIh/PrabQrUyFBqeLv5eKe4vPJzWjXp44sE0dvRwOh6IoTqfz4puGHJJ3AMgxRimx\nC3OmrIlt3FcDSpKE776yzLrXXag0MrUJtFu1onlqwTxPcq2TLE+cWhJBaz0zdLWCQpRTzrMU\noVL5+Csi+u3IWZJnOVotmnK0XTM1XQIUeKjFsJExJLKNO8lJcj40svbnE0KFmYnWyUPS7Z6m\n5hfFM8oNva3X9bRtPqbdVSzU2uhYnXRVN9vQrufa/5+o8tOorcZKV5iZhMiL3x9AO3TnUFu/\nFPZQGesQqQyjdFUPF8802tTcr7/85S9DhgzJzMyUZXnnzp3PPffcmDFjEhMTgxRwW3Sc5E3T\ntFYbilzIMIxGo/Gewv22qeTjpcRURxSvObu90dWVWlki+lC/xaRpmhAiXDjjmSpQFBWa32xz\nvFv6tW+zsn+VfzYzxc/Dd3POyW+rt/+tcFGJ4ywhJENIWpD5wA0xl1+rC2KnwabRNM0wTPv5\nwrO0JCtRIsSdTdnGLlkMwxBCWJb1jfymgcpNA22y4n5ZThFybgOW9T8VOq8RtCHsS+Z9JVEJ\nlmUJITzPu7/5doIiZFCaOCit9a0R9Xr9iy++WFRUxDBM165dn3jiib/+9a8BjDCAOk7yJoQo\njfeiDuxR3C4oNMYp9z5M/b6fOltOHzlE6mqb2gOhmujwHVSh+YoCrv2Efcxa4ltY4jhrEW06\nxvvGyPc88bLXfOSuo/Pt8rlKuSJ7+fQjz63v+8YAffdABdxS7oDb/oVbZLtJtHTh/TTBCwZP\n2I1FThHvv7nMWJEQ74fvSEFJiJBCebopikJRVPs5w1tKvZH79dJLL7300kvhjqJZOk7ybumA\nGK3G87zT6fQ/VkB2X5Ldl1x9HXfkEF1aQlmtXP4Br02k+EQ7TZOQhNqQRqNhGMb9CifEh24j\nnU4Xmt9sc0TTfhoo6GmBcil21wVBRkREKIrSdOSvnPrEk7ndbLLjleJPlmY+HpBoW4FhGJZl\n2/KFFzhKHytZvNn0q0KUeDb6H8l3To8Nek9ZjuO0Wq0kSc2PPEFHhmfS2wsvuOWa2L8+9C84\nKYpqP2d4M9E07b4S+v26IiJU0z9CvTpO8m5HKMrVuw/p3YcQQnie27/Xs0ZhWcfoW8IWGLTZ\nxOgRi8+sbTgZFyFkqjGXavplSSMKHH7aSRQ4St0fvqvbsdOcT1FkeETfUVGXtWL/oVcvWScf\nf8Yzg1mFWPtQ8UKB4m8zXhPWuPwb18+cEi3mndKY7HR8hDSyhy3DiKbmoA5I3sFlHzVGSktn\nj+TTVosUn+gcMlw2BH60DQiZbG3Gq+n3/v3UOzb5XCvWkVGDn0md2bq9xTLeXaIJIfFcjKTI\ndxbMX2/a7S5ZdGbVTYbhSzMfowPXLS1IPq1a7zv36AtlH7XP5E1R5LJ0+2XpKnvqBSBI3kFH\nUa7sfq5szPXZcUwxXjcicuDm+l/rJEt/bbdhEX1avas7YkdtM3u/WLkjdtSSirWezO32Td32\nDyrXzY4PTJ+04DnmKCE+jTZLnBVW2a6j1ddYEqDdQvIGaLEuXGzr+obl24p+MO2qdNX20WXe\nGnPNJOPIA7aCd86u8Wzw18RJ46KvHH30Ud8U+HXttvafvGOYSN/uFlpaI1D+BxsHgNZB8g4a\nSeL37OB+309Z6uWYWNeQ4a5eOeGOCcLpvYqvny39j1M+91b1zfIvv+758nMps+6IHbXTfIii\nqKH6Pj2EVEKIRbb5pkCzrIKp1SbEXLX47BqHcsGb40nGke2/wh9AXfAXFSzaH7/RbNlIV1VS\nDgdTXip89WXDlmvQ2Ryyn5x3+nzmJoSccJx+uHgRIaSXkD4j7sY7Y29wZ25CSI7Q1XcPfbWZ\nIYm0xWpF83sVX/+j5N1FZ1bFMJEvpM7VUOf7Lg+N6PNcyqwwhgfQIeHJOyjo0hL29/2EXPD4\npNn0o5jT3++sJNDhravd4fU8SghZb9r9kylvTc3WcldVN03K3YnjuvJJhJDHk6f/aNpdL52f\nyjCajXg0aVpII26e36wnJp942jPp56vln7+f+fftOe/8ZMqrkeoH6LqPjBzUuqb4AF4Yhgns\nMFO0mqeGRfJuGebkCVJdxUqSkt5VSmx06Eq/Q6VSLhddVSElJQczQGinGmZiD0mRbz/xjPvz\npvp9H1f98N/uzw2P6NuVT1rb46VnT3+ww3yQItTwiL7zUmeltmGc8CCRFPnuolcbTtdtle33\nF72xI3vxn+JGhzEw6JBomlZ1ug0sJO9mk2Xt2i/Y40cUQjhCOEKclw1zXDPK/8as/y9WaaQc\nOrxsIcO3kCKk4Yg5DsV1V+ELs+Nu7q/LuiFqyMru8yVFJoQEcOKywDpkP3ncftqrsFo0bTX/\ndkv0FWEJCaCTQC5pLs2u7ezxIw1L+N2/SMlpYs/evhuL6ZkKy1IXjsImRxvl2Hb38AShcatx\nxNLKb3+1HvujQCHEz/zDtaL5tfLPCSGDdD2+6P68gWnBjHOiIn1Y+d1nVevLXFWZmi73Jky4\nKXp4IGJvlFny34bObzUDAARQO72jb4fY/APE51rL+ox+6qYYoh3X3nhBCc/bxk4gmGuws+Io\n9rNuT0+JvS6C0VKE6i6kTjXmNrH9Puuxf5S826JDPHX6/SdKlhywFVSKdbsth2cWvvSfynVt\ni/oiemnTWMrPvBQ52q5BPS4A4Mm7uSi73bfZDd34iMSuAYPlLimzul52AAAgAElEQVTswf2U\nuV42xrkGXqKEfCYxaAuFKKtqtmw07bXJjoG67nPib27jMCPxbPTC9Af/L/2vdtmppTW/WU98\nXr2hie3X1G59I/0BjmrWH2m+vej9im+8Cp85/cGkmJERzLl5tBSilDgrNDSXwMa07r/gxchE\nPZg46bXy5Q0Lb40ZMUjXIyD7B4DGIHk3lxwXz5jrvQqluKaqwaWERCkh6FMyQDAoRPl/BS9/\nU7fdvfhN7faPKn9Y33uB0d+Api1CEUpLawgh/XXdZsWPXVrxbWNbOmWXVXYYmGb9keZZjvoW\n2mTHIfvJIfpsQshXtdv+WfJemauKENJbm/Fa2r2X6wMw8MAjSVOjGP3iirWlzkojEzUj/oaH\nE29vbOMyV9UHFd8et59O4oyTY69FjgdoNSTv5rJfMVJ3qpiSGrzG1uqcQ9Aqp2P6svp/nszt\nVuw883TJ0kUZDwXwKC+mzM0Rui6v3njMUVIrmr3WduFioxhdM3fFN/KA7u5yvc18YFbhy57C\nw7aiqSfm/dT7TXfPtLZgKPqehPH3JIy3yQ73TUlj8ixHJx5/0iKfq6x6v/Kbl1PvntXux4wD\naJ/wzru55OQU+8Tb5bgEQgihKCk13Tr5TiUyMtxxQVD8VJ/nW7i+bk9gj0JT9Iy4G9f1fPW3\nPh/2FNK81v4zeUbze0hfGdnfN3cm83F9tJmEkFfLPvdaVS9Z3zqzqlVR+9d05laIck/R657M\n7fbM6Q9O+sxiAgDNgSfvFhC7dhNndoviOJvL6cK4Ex2aQ/YzNaSL+JvEPRC0tGZ5t2efKFmy\n0bRXVKREzvhEl+mTjdc2fw9duNgXU+c+VLzQUyJQ/NsZD7sblJ1weHfoIoQc91cYJCfspZ6p\nTj0ciut/pn3oEQ7QCkjeLafVKopCxGBdx6E9uFTf6+vabT6FfroFttFhW9EOyyFJkYZE5HyS\n9ZRTEWul+tY1KJsee31/bbfPqzeUOCt6CKkz48ak8QnuVUYmqtxV7bW93wlJg8Rx4QzoHk6f\nUecAoDmQvAH8mBV/04qqnw7ZT3pKdLQwP2V2YI/yQtlHb5R/4VmcEXfja2n3tqUpeH9dt/66\nbr7l0+JG/bPkPa/CqbFN9VULrO5CahSjN0kWr/JBup4hiwGgI8E7bwA/NBS3tsdLf04Y10NI\nTeHjbzIMX99rge9r6bb4pnZ7w8xNCPmo8vtlld+3eoeVYt2X1f9bUvHV1vr9yoWDEsyJu2lK\n7Pk5THmae7zLHddFXdLqY12U1+ttDcXNT/W+9ZkSe91lQajMAOgM8OQN4F80G/F8yuznA/20\n7bG8eqNv4efVG1r3Dvibuu1/Lfo/z6Pt0Ig+n2Y9FfXHAG00RS9Mf3BW3Ng91iMcYa+M7NdN\nk9LqyJsgKfKSirVvnVl9VqyJYvTTYnMfS7rD3dF8qjHXQEcsOrvymKOkCxc7OebaufE3ByMG\ngM4AyRsgPKobzOfhUeXyU3hRxc4z95/8d8OH3R3mg0+UvPvWhR3bBup6DAxy1+oFZ1a8UvaZ\n+7NJsiw+u/aU8+yHmf9wl4yJHjomemhQAwDoJFBtDhAe3QQ/z77d/RVe1Nqan72qqQkhq2u2\n2GRHayJrrVrR/O/y/3oVflv7y07LoVCGAdAZIHkDhMdfEm7zGm9VQ3GPJE1pxa6qJT/P6y5F\nrPNpIBZUxx0lLsVPL4xDtpOhDAOgM0DyBgiPHkLqp1lP9RBS3YtpfML7mY+1rjdalsbPJPEG\nRh/HGtoUYgtFNjIeXFRL5kYDgObAO2+AsLkysv/27HfKXdWiIqXyrZ8u9taYEW+fXe01tfYj\nSVP9TvkVPD2FtByha8P+dYSQaDZiZNSgUIYB0BngyRsgzJI4Y1syNyFERwufZj19VeQAz+KT\nyTPuTrglENG1AEWoxV0fSeSMnhI9LSxKf6jts7kAgBc8eQN0BFma5FXd59eI9ZViXVdNUjMn\nEg24bG3GjuzFK2s2H7OfSuHjx8dc1YWLDUskAB0bkjdAxxHDRsawYZ4sJ4LR3hV3Y3hjAOjw\nkLxbzlzPFBwnCpGSkhWtNtzRQKd2Vqx5rWz5DvNBmqKHR/R9pMsU1FEDdAZhSN579uz5+OOP\nS0pKDAZDbm7u1KlTKcrPDF3ffvvtkiVLGpY8//zzAwYMCFWY/ml2/Kz8spUXXYQQheMd1+S6\nBl4a3pCg06qWTLmHHypzVbkXD9oKv6/buan3/xnQuhugowt18j5y5Mj8+fNHjx798MMPnzhx\n4u2335Zlefr06X43joyMfP755z2Lycl++sOEEnc0n9/6k2eRcjmF9evk2DgprWv4goLO6+XS\nTz2Z2+2U8+xr5Z8Hb0jXECuuYQ+V8XaRTjaIl6Q5GFq5+M8AdA6hTt6rVq1KSUm5++67CSEZ\nGRllZWVr166dNGmSRqPx3ZhhmKysrBBH2ARu704/hXm7kbwhsI7Yi18t+/yArSCK0d9oGHJf\n4kSB4n0322n2M3KZ30I12nBE9+Ph8x3HNx/X3ntVnZ6XwxgSQPsR6uSdn58/YsQIz+LgwYNX\nrFhRUFCQnZ3tu3F9ff2MGTNEUUxNTR03btwVV1wRjJAoU52wdRNTUkQURUxJc159nWyI9r+l\nud63kDG3ZjBqgMb8biscfeQR+x8TYP9qPba1/reV3eczlHfHTt8SQpQQ9+0OkqJqrmHmJoRU\nmJnV+/XTL/PzNwjQCYU0eSuKUltbGxNzfrpi9+fq6mrfjdPS0u65556MjAyn07l58+Z//etf\ns2fPvuWW811XLRZLw0r1kSNHXnPNNS2OyWohn/2H1J9LwNzhg1xxIbnvbyTSX6ufGCOprfEq\no2PjIyPD3L63ORiGIYRERESEO5AWoyhKFd+wL5qmWxH5EyeWeDK32zbzga9tv9yZ6N2E+4a4\noQdOFVxYRt0QN7QtXxdFUSzLhv0LP3rMz6XpULlGrye0v8EpaJomhPA8T/td3Y65/zBZVmVt\nh91ha7Vav5WmEALBPWP27ds3b9489+exY8fOnt2CV3H9+/fv37+/+3O/fv0sFsvKlSsbJm+n\n07lhwwbPYlZWVitOI/H7r6X6Cx+drVZm04/spDt8N5avyXUVnrigiOW4q6+l1XP6qvQvTaVh\n0zTd0sglRd5dn+9TrOw0H5qdPs6r9Nkes7+r2XHQfD5/D47q9WT3mRraTx17i4T9Cxf9vd0W\nZcJwGr7xixbDMO6kojqqS95uHMeFO4TOK7hnTHZ29qJFi9yfIyIiKIqKjo6uqTn/8Or+bDQa\n/f/8hbvatm2bKIqes9xgMKxdu9azAc/zDffcTMLJE7436q6TBfV+d5WYzI4aw2/ZSBwOQgjR\n6hy5o62RBtLy44ZeZGQky7K1tbWKorJWPwaDoa6uLtxRtFhMTIwoivX1LavmlRWZJrREvN7s\nUrJT8nt6r++14N0zX22v/52mqCsj+8+Kv8lWZ7GR1s9HQtO0Tqczm82t3kNAxAoaQrxHSo+P\nkCz1Jr//N3dtgd1ut9lsIQgvgNz3SQ5HSOd/aztBELRardlsdrlcvmsbVq9CkAQ3eQuCkJqa\n2rAkOzs7Ly9v1qxZ7sW8vDxBEJrTKi0/Pz86Orrh/SlN0ykp5+dPtFqtVqu1pREqtJ/7dIVh\nJUnyu7008FLNkGH2k4WSosgJiQrHk0a2bG/cOVuSJNUlb0JIY7+O9q8VkY+IHLjBtMer8JrI\ngX53xRHmvvgJ98VPOLestOaIZa6qA9YCgeYH6XpE85GKogT7C3cp4tKKb7+r21Ej1vfTdXs4\naXI3zQVzoV6SattewJfWsYQQhRB3X9Jb+lkaC8xdWx6CyANOlmWKolQXtvsyIsuy6iLvMEJd\nVzNx4sTHHntsyZIlN954Y0FBwerVq8ePH+++99y2bdtXX331zDPP6HQ6Qshbb72VnZ3dpUsX\np9O5ZcuWbdu2zZw5M+DxiN16MiXFPoU9mvoZQSund5VEP1MfArSOWbLtsx61yo5+2qxX0u7J\nPfxQw1k+bzNeM9owNEiHfr502Ttn17in8jSyUa+m3ztdPzpIx3JTiDKz8KUf6na5F/PtRV/V\n/Lyu16v9tOdv4hlamT3M9N0h3cFyjUOkkiLFG7KtvRKcjewSoNMJdfLu1avXk08++cknn/zw\nww8Gg2HChAnTpk1zr6qqqsrPzxf/SIo8z69YsaKqqorn+ZSUlEcfffSqq64KeDzOS4eyBceZ\nUyc9JXJyimto4A8E0Jhva3/526lFVaKJEMJR7Kz4sdv7vL34zNr91uNRjH5M9LAJMcE6IZdV\nfv9/Z770LFaLpvsKF/SL6ZFJEoJ0RELIt3W/eDK3m11x/q140Y+9FjQsjNDIkwaZJxGzLPtv\npAbQmVFqrET1q3XV5oQQIsvcod/Y4iKiKGJauqvvwKYvFVFRUVarVVTbk7fBYOA4rqqqSnW/\ncaPR6Lc/QjsXFxcnimJtbW3Tmx21n8o98pBNvuCV5wupc+bGh2JOsCvz7zti9655mpN8y4uJ\nc4J30H+UvPtexde+5cUDvtTSrWwox3GcwWCw2WwWS+vf94eFIAgURanuVb1Op9PpdCaTyen0\nUx0SFxcX+pA6G1U2cQwwmnb1HejqOzDccUBn9HHVD16ZmxCy5OxXoUneXgO0uZXYK4J6UJr4\nGQ6ZIpTfYZIBwC/URgUA5bAzZafpulqitodaCLsyp5/06TenBkMK5+cJKUNIbPuej9lP33T0\n7zm/Tx9yaO4LZR81XHV1pO+NsjJEn+13FDkA8AtP3m2jKJqtP/F7drjbnEtJyY4bb5Hig/i+\nEFREIcrP9b8dtZ9K4GOujhgQ5W++kFTez9mSyscHPzpCCLk3YcIDxW80KFC0tPDnlAmkbS+F\nttTvv+34UwpRCCEVpO6N8i9+rNu1ufe5XqPXGy67NWbEyprNnu0jGN2C9PvbdEiAToZ59tln\nwx1DYLhcLr89DgNOo9G4XC5Zlgkhmp3b+O1bPA/ctLmeLTzu6jOAtL8hFwRBYBhGda/WCCFa\nrVaNYds41w37Hnyt7PMNpj1ra37+vGpDX11WV02S12YZmqTPqta7G3t7PJk8Y6CuyS4PAdJX\nl8VQ9G7LYXfP8kQudlHmQyNiB7ex2/F1Rx70GiSuQqyLYITL9OdGQR5jGJquSVQIiWUNow2X\nL+n6aFdNl7YckWEYQRBEUQzNRSCAWJalKEp1bWg4juM4zuFw+O0q5u4xBEGFBmstdr7BmixH\nLHqNcti9NrDnjnYNuiwEkbQIGqyF2J9PL1h5dlPDEiMTtS3n7TjW4LXlRtPeh08tKnVWEkJ4\nir0/8dYnuvifZy9IqkXT77ZCHa3pq8vSs1q9Xm8ytX7E/lrZ3GP/VN/yQbqeP/Z6vQ1hNgUN\n1kIMDdbCrt09IKoIZbf5Zm5CCO0z/jl0NjVi/eqKzV6F1ZLp29pf7orzHqL8uqhLduW8e9Ba\nWC9b++myjIy/cfWDychGXR05oPnb14rm066KVD7B78ThDtF/b2yXorJnYoD2DMm7DTSCwrCU\n5F3fpejVN/kHBFaVaJIVP5NXVoj+e45pKG6wvmeQgwqAGrH+8ZLFq2u2KkShCDXZOPKF1Lle\nKTyRN2poziF7p+rhEf1CGClAB4fW5q2nMIzYz7vdrCIIruy+YYkH2o9kPlbwNztIliY59MEE\nikKU+4v/vapmi7slmkKUFdU/PVS80HfL51O8pyAyslHzkgM/QiJAp4Xk3SaOkaPEbucfmBSd\n3n7TRMXvdKLQmeho4eEM7/e+2ULG2OhhYYknIA5YC36s2+1V+HXtNt9hXmbGjXkr46F4zsBQ\ntJbir4rsv7PPEpZGPR9AwODPqU0UlrNNnMKcKaMrziparZSaoYR7LkVoJ+Z1m+OQnAtLvnTK\nLkLI1ZEDFqTfr6FUPIXiSWe53/ICR2kvId2rcLLx2snGa4MfFEAnheQdAFJiFymxTR1doONh\nKeblbvf+NebWQmdZPBsdz0aHO6K28m0n75bAYv5HgFBDtTlAEGlpTY7QtQNkbkLIpbpevk/Y\nfbWZoemSDgANIXkDQLPwNPde1783bHPXU0h7P/M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FUaoLm6IonuedTqfT6fRdq9frQx9SZ4MaD+hc6vRNSGwAAAdPSURBVESzS/Fz44W5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\nMkjeAAAAKoPkDQAAoDJI3gAAACrz/wGDFPXH6pl48QAAAABJRU5ErkJggg==", "text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ggplot(mds, aes(x=V1, y=V2, color=as.factor(z))) +\n", "geom_point() +\n", "guides(color=guide_legend(title='Species'))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### K-means clustering" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [], "source": [ "km <- kmeans(iris[,1:4], centers=3)" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "K-means clustering with 3 clusters of sizes 62, 38, 50\n", "\n", "Cluster means:\n", " Sepal.Length Sepal.Width Petal.Length Petal.Width\n", "1 5.901613 2.748387 4.393548 1.433871\n", "2 6.850000 3.073684 5.742105 2.071053\n", "3 5.006000 3.428000 1.462000 0.246000\n", "\n", "Clustering vector:\n", " [1] 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n", " [38] 3 3 3 3 3 3 3 3 3 3 3 3 3 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n", " [75] 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 2 2 2 2 1 2 2 2 2\n", "[112] 2 2 1 1 2 2 2 2 1 2 1 2 1 2 2 1 1 2 2 2 2 2 1 2 2 2 2 1 2 2 2 1 2 2 2 1 2\n", "[149] 2 1\n", "\n", "Within cluster sum of squares by cluster:\n", "[1] 39.82097 23.87947 15.15100\n", " (between_SS / total_SS = 88.4 %)\n", "\n", "Available components:\n", "\n", "[1] \"cluster\" \"centers\" \"totss\" \"withinss\" \"tot.withinss\"\n", "[6] \"betweenss\" \"size\" \"iter\" \"ifault\" " ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "km" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Visualize clusters on MDS plot" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": {}, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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oiSOw7HCcEhnokUtHGsyL2ct3pD6U+2zUR59H86LkxTeXy+ARGhrefUp2/fnQb1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\nS3GsjTw1c5gozS5IKbA8tv73gOslFEJIREhGiFN7GvrEQOXbxx5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bj1c6Tv3MdazpAEzezJTt/wmvqkQICaFhllHj+Ri/GM8D/EExV5Fu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p4cMpHNbzAAD4CiRvALxjoLLXQGWvQEcBAOgQoL66ypEAAA80SURBVNkcAAAAEBlI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\nAAAAAElFTkSuQmCC", "text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ggplot(mds, aes(x=V1, y=V2, color=Species)) +\n", "geom_point() +\n", "guides(color=guide_legend(title='Species'))" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": {}, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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lRZWXlz/33HO33XbbjBkz/vzzT7dH//e///XsKTLdQkYig8TX8ooM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WrwlG6f9HisRNLX0aYQ05yoqlCvh9kiUC6X55Wbpviq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"text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ggplot(mds, aes(x=V1, y=V2, color=as.factor(km$cluster))) +\n", "geom_point() +\n", "guides(color=guide_legend(title='Species'))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Supervised Learning" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Split into training and test sets\n", "\n", "If you need to tune the model parameters, you will need to construct an additional validation data set." ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [], "source": [ "idx <- sample(1:nrow(iris), 50)" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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  41. 150
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  43. 15
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  47. 60
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  51. 38
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  55. 130
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  87. 20
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\n" ], "text/latex": [ "\\begin{enumerate*}\n", "\\item 113\n", "\\item 57\n", "\\item 22\n", "\\item 141\n", "\\item 94\n", "\\item 140\n", "\\item 44\n", "\\item 103\n", "\\item 62\n", "\\item 29\n", "\\item 16\n", "\\item 41\n", "\\item 87\n", "\\item 8\n", "\\item 53\n", "\\item 146\n", "\\item 21\n", "\\item 46\n", "\\item 3\n", "\\item 18\n", "\\item 150\n", "\\item 15\n", "\\item 25\n", "\\item 60\n", "\\item 109\n", "\\item 38\n", "\\item 34\n", "\\item 130\n", "\\item 81\n", "\\item 144\n", "\\item 26\n", "\\item 19\n", "\\item 80\n", "\\item 96\n", "\\item 40\n", "\\item 121\n", "\\item 92\n", "\\item 119\n", "\\item 27\n", "\\item 11\n", "\\item 75\n", "\\item 149\n", "\\item 114\n", "\\item 20\n", "\\item 129\n", "\\item 73\n", "\\item 137\n", "\\item 14\n", "\\item 47\n", "\\item 51\n", "\\end{enumerate*}\n" ], "text/markdown": [ "1. 113\n", "2. 57\n", "3. 22\n", "4. 141\n", "5. 94\n", "6. 140\n", "7. 44\n", "8. 103\n", "9. 62\n", "10. 29\n", "11. 16\n", "12. 41\n", "13. 87\n", "14. 8\n", "15. 53\n", "16. 146\n", "17. 21\n", "18. 46\n", "19. 3\n", "20. 18\n", "21. 150\n", "22. 15\n", "23. 25\n", "24. 60\n", "25. 109\n", "26. 38\n", "27. 34\n", "28. 130\n", "29. 81\n", "30. 144\n", "31. 26\n", "32. 19\n", "33. 80\n", "34. 96\n", "35. 40\n", "36. 121\n", "37. 92\n", "38. 119\n", "39. 27\n", "40. 11\n", "41. 75\n", "42. 149\n", "43. 114\n", "44. 20\n", "45. 129\n", "46. 73\n", "47. 137\n", "48. 14\n", "49. 47\n", "50. 51\n", "\n", "\n" ], "text/plain": [ " [1] 113 57 22 141 94 140 44 103 62 29 16 41 87 8 53 146 21 46 3\n", "[20] 18 150 15 25 60 109 38 34 130 81 144 26 19 80 96 40 121 92 119\n", "[39] 27 11 75 149 114 20 129 73 137 14 47 51" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "idx" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [], "source": [ "iris.test <- iris[idx,]\n", "iris.train <- iris[-idx,]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Specify and fit model" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [], "source": [ "library(nnet)" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "# weights: 18 (10 variable)\n", "initial value 109.861229 \n", "iter 10 value 9.488101\n", "iter 20 value 5.718048\n", "iter 30 value 5.607010\n", "iter 40 value 5.566651\n", "iter 50 value 5.564816\n", "iter 60 value 5.559930\n", "final value 5.559325 \n", "converged\n" ] } ], "source": [ "fit <- multinom(Species ~ ., data=iris.train)" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Call:\n", "multinom(formula = Species ~ ., data = iris.train)\n", "\n", "Coefficients:\n", " (Intercept) Sepal.Length Sepal.Width Petal.Length Petal.Width\n", "versicolor 15.30068 -4.714006 -8.950189 12.66693 2.132277\n", "virginica -19.12182 -6.891088 -15.500148 20.84077 18.004415\n", "\n", "Residual Deviance: 11.11865 \n", "AIC: 31.11865 " ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fit" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Make predctions" ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [], "source": [ "pred <- predict(fit, newdata = iris.test)" ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [], "source": [ "mds.test <- mds[idx,]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Visualize predictions" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [ { "data": {}, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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2XLFvFwzZo1YWFhY8aMMf+N47gxY8bcuHHjzz//JISsW7dOo9EsWrSo/DJfYuZ2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\nMJQ3AACCobwBABAM5Q0AgGD+H+2jI999KDl3AAAAAElFTkSuQmCC", "text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ggplot(mds.test, aes(x=V1, y=V2, color=as.factor(pred))) +\n", "geom_point() +\n", "guides(color=guide_legend(title='Species')) +\n", "labs(title='Observed')" ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [ { "data": {}, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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2u5TVXt0Zw6I993332ujT4FZ95eRRUX0fm3XNvZrAxLSKj38wDUA92ambo1Mxmt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\n5HA4Mr2JdNE0LRqNCpFWVVW32z2Rq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"text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ggplot(mds.test, aes(x=V1, y=V2, color=as.factor(Species))) +\n", "geom_point() +\n", "guides(color=guide_legend(title='Species')) +\n", "labs(title='Predicted')" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "R", "language": "R", "name": "ir" }, "language_info": { "codemirror_mode": "r", "file_extension": ".r", "mimetype": "text/x-r-source", "name": "R", "pygments_lexer": "r", "version": "3.4.1" } }, "nbformat": 4, "nbformat_minor": 2 }