{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Lecture 7: KNN and Decision Trees\n",
    "\n",
    "These demos illustrate various aspects of KNN and decision tree classification. They also show how to use **built-in implementations of machine learning methods from scikit-learn**. This is very useful!\n",
    "\n",
    "## Imports\n",
    "Run this cell."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib.image as mpimg\n",
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "from matplotlib.colors import ListedColormap\n",
    "from sklearn import neighbors, datasets\n",
    "from sklearn.neighbors import DistanceMetric\n",
    "from sklearn.neighbors import NearestNeighbors\n",
    "from sklearn import tree\n",
    "from sklearn.externals.six import StringIO  \n",
    "#import pydot \n",
    "from subprocess import call\n",
    "\n",
    "import warnings\n",
    "warnings.filterwarnings('ignore')\n",
    "\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Demo 1: Distance Functions\n",
    "Run this code to set up plotting"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "#Create a desne grid of points on the unit scquare\n",
    "xx, yy = np.meshgrid(np.arange(-1, 1,0.01), np.arange(-1,1,0.01))\n",
    "xl = xx.flatten()\n",
    "yl = yy.flatten()\n",
    "xy = np.vstack((xl,yl)).T\n",
    "\n",
    "def plot_distance_contours(dist):\n",
    "    dl = dist.pairwise(xy,[[0,0]])\n",
    "    dg = dl.reshape(xx.shape)\n",
    "    plt.figure(1, figsize=(6, 5));\n",
    "    CS=plt.contour(xx,yy,dg);\n",
    "    plt.clabel(CS, inline=1, fontsize=10)\n",
    "    plt.ylim((-1,1));\n",
    "    plt.xlim((-1,1));\n",
    "    plt.colorbar();\n",
    "    plt.plot([0],[0],'ow');\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Visualizing different distance functions\n",
    "\n",
    "There are a number of standard distance functions to choose from. Any one of them might be best for a particular application. We will look at three of them.\n",
    "\n",
    "### Euclidean distance\n",
    "The plot below shows the contours of $d(\\mathbf{x}, 0)$, i.e, the distance of points in the plane from the origin, for the Euclidean distance function. (This is also the special case of Minkowski distance when $p=2$.)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "dist = DistanceMetric.get_metric('euclidean')\n",
    "plot_distance_contours(dist)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Manhattan distance\n",
    "Here we see the distance of all points in the plane from the origin under the \"Manhattan distance\" ($p=1$)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "dist = DistanceMetric.get_metric('manhattan')\n",
    "plot_distance_contours(dist)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Chebyshev distance\n",
    "We get another special case of the Minkowski distance called **Chebyshev distance** when $p \\rightarrow \\infty$. It looks like this."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "dist = DistanceMetric.get_metric('chebyshev')\n",
    "plot_distance_contours(dist)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Demo 2: KNN Classification in Action\n",
    "\n",
    "### Setup\n",
    "Run the code below to load and plot the seeds data set."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(210,)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Load Data\n",
    "data = np.loadtxt('seeds_dataset.txt')\n",
    "x = data[:,[0,2]]\n",
    "y = data[:,-1]\n",
    "\n",
    "x=x-np.mean(x,axis=0);\n",
    "x=x/np.std(x,axis=0);\n",
    "\n",
    "#x=x[[10,200],:]\n",
    "#y=y[[10,200]]\n",
    "\n",
    "#Plot data set \n",
    "labels=['sr','og','^b']\n",
    "for i in [1,2,3]:\n",
    "  plt.plot(x[y==i,0],x[y==i,1],labels[i-1]);\n",
    "plt.xlabel('area');\n",
    "plt.ylabel('compactness');\n",
    "print(y.shape)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Choose distance function and $k$\n",
    "\n",
    "Select which cells below to run to choose from our three distance functions, and then select a value of $k$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Use Euclidean Distance ($\\ell_2$ norm): $||x-y||_2 = \\sqrt{\\sum_{d=1}^D (x_d-y_d)^2}$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "metric='euclidean'"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Use Manhattan Distance ($\\ell_1$ norm): $||x-y||_1 = \\sum_{d=1}^D |x_d-y_d|$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "metric='manhattan'"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Use Chebyshev Distance ($\\ell_{\\infty}$ norm): $||x-y||_{\\infty} = \\max_d |x_d-y_d|$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "metric='chebyshev'"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Select a number of Neighbors"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "K=200"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### See the result\n",
    "\n",
    "Run the code below to fit a classifier and visualize the result. The colored areas in the final plot show the predictions for different regions of the plane. Experiment with different choices of distance metric and values of $k$ to see how the predictions change."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Fit the specified classifier\n",
    "clf = neighbors.KNeighborsClassifier(K, weights='uniform',metric=metric)\n",
    "clf.fit(x, y)\n",
    "\n",
    "#Prepare grid for plotting decision surface\n",
    "gx1, gx2 = np.meshgrid(np.arange(min(x[:,0]), max(x[:,0]),(max(x[:,0])-min(x[:,0]))/200.0 ),\n",
    "                         np.arange(min(x[:,1]), max(x[:,1]),(max(x[:,1])-min(x[:,1]))/200.0))\n",
    "gx1l = gx1.flatten()\n",
    "gx2l = gx2.flatten()\n",
    "gx   = np.vstack((gx1l,gx2l)).T\n",
    "\n",
    "#Compute a prediction for every point in the grid\n",
    "gyhat = clf.predict(gx)\n",
    "gyhat = gyhat.reshape(gx1.shape)\n",
    "\n",
    "#Plot the results\n",
    "cmap_light = ListedColormap(['#FFAAAA', '#AAFFAA', '#AAAAFF'])\n",
    "for i in [1,2,3]:\n",
    "  plt.plot(x[y==i,0],x[y==i,1],labels[i-1]);\n",
    "plt.xlabel('area');\n",
    "plt.ylabel('compactness');\n",
    "plt.pcolormesh(gx1,gx2,gyhat,cmap=cmap_light)\n",
    "plt.colorbar();\n",
    "plt.axis('tight');\n",
    "plt.title(\"Metric: %s, K:%d\"%(metric,K));"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Convergence of KNN in the Infinite Data Limit\n",
    "\n",
    "One of the nice properties of KNN is that it is guaranteed (under a suitable formalization of the problem) to converge to the \"right answer\" as the number of training examples goes to infinty.\n",
    "\n",
    "Run the code below to set up a problem. The colored regions of the plane illustrate the \"ground truth\" --- i.e., the correct label for each point in the plane."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Generate a Random Ground Truth Decision Boundary\n",
    "\n",
    "#Get a random set of labeled points\n",
    "xtrue,ytrue = datasets.make_classification(n_samples=50, n_features=2, n_informative=2, n_redundant=0, n_repeated=0, n_classes=2, n_clusters_per_class=2, class_sep=0);\n",
    "xtrue = xtrue - np.min(xtrue,axis=0);\n",
    "xtrue = xtrue / np.max(xtrue,axis=0);\n",
    "\n",
    "#Fit a KNN classifier to the points\n",
    "clf_true = neighbors.KNeighborsClassifier(1, weights='uniform',metric='euclidean')\n",
    "clf_true.fit(xtrue, ytrue)\n",
    "\n",
    "#Prepare grid for plotting decision surface\n",
    "gx1, gx2 = np.meshgrid(np.arange(0, 1,0.01 ),np.arange(0,1,0.01))\n",
    "gx1l = gx1.flatten()\n",
    "gx2l = gx2.flatten()\n",
    "gx   = np.vstack((gx1l,gx2l)).T\n",
    "\n",
    "#Compute the true classifier boundary\n",
    "gytrue = clf_true.predict(gx)\n",
    "gytrue = gytrue.reshape(gx1.shape)\n",
    "\n",
    "#Plot the true decision surface\n",
    "plt.figure(1,figsize=(5,5))\n",
    "cmap_light = ListedColormap(['#FFAAAA','#AAAAFF'])\n",
    "plt.pcolormesh(gx1,gx2,gytrue,cmap=cmap_light)\n",
    "plt.title('Ground Truth');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Observe that KNN can recover the ground truth\n",
    "\n",
    "* Run the code below to fit KNN models and plot the resulting predictions for training sets of increasing size. \n",
    "* Observe that as the training set gets bigger, the KNN predictions converge to the ground truth.\n",
    "* But note: KNN predictions with smaller datasets are very noisy. Other models can do better with small datasets."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x216 with 5 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Show convergence to ground truth\n",
    "\n",
    "N=[10,100,1000,10000]\n",
    "\n",
    "plt.figure(1,figsize=(3*(1+len(N)),3))\n",
    "cmap_light = ListedColormap(['#FFAAAA','#AAAAFF'])\n",
    "labels=['.r','.b']\n",
    "\n",
    "#Plot ground truth\n",
    "plt.subplot(1,1+len(N),1)\n",
    "plt.pcolormesh(gx1,gx2,gytrue,cmap=cmap_light)\n",
    "plt.axis('tight');\n",
    "plt.title('Ground Truth');\n",
    "\n",
    "for n in range(len(N)):\n",
    "\n",
    "  #Sample and label a data set\n",
    "  xsamp = np.random.rand(N[n],2)\n",
    "  ysamp = clf_true.predict(xsamp)\n",
    "  clf_est = neighbors.KNeighborsClassifier(1, weights='uniform',metric='euclidean')\n",
    "  clf_est.fit(xsamp, ysamp)\n",
    "\n",
    "  #Compute the estimated classifier boundary\n",
    "  gyhat = clf_est.predict(gx)\n",
    "  gyhat = gyhat.reshape(gx1.shape)\n",
    "\n",
    "  err = np.sum(np.sum(np.abs(gyhat-gytrue)))/float(np.prod(gyhat.shape))  \n",
    "    \n",
    "  #Plot estimate\n",
    "  plt.subplot(1,1+len(N),n+2)\n",
    "  for i in [0,1]:\n",
    "    plt.plot(xsamp[ysamp==i,0],xsamp[ysamp==i,1],labels[i],markersize=1);\n",
    "  plt.pcolormesh(gx1,gx2,gyhat,cmap=cmap_light)\n",
    "  plt.axis('tight');\n",
    "  plt.title(\"Esitmate N=%d, Err=%.2f\"%(N[n],err))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Demo 3: Decision Trees\n",
    "\n",
    "Now we will fit decision tree models to the same data set. Select parameters below for the splitting heuristic (either 'gini' or 'entropy') and stopping criteria (max_depth, min_samples_split)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [],
   "source": [
    "criterion='gini';\n",
    "#criterion='entropy';\n",
    "max_depth=10;\n",
    "min_samples_split=2;"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Fit and visualize the model\n",
    "\n",
    "Now run this code to learn decision trees of increasing depth and visualize the predictions. This gives you a sense of how the recursive splitting proceeds."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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Jbej//94GKbNr5omCqBdbv4VFyhMmnsAJE0/IfXRKqXWEdsPM/gCU/A9qZpcAl1QybmYCL2kwcClwALAcuE/S/KK4zp8A15jZ1ZL2A34IfEHS24CzgXGAEcSEzjez7qzm61RHHi30OHEvtT0P1CscMC4uPkphkfKyky9rCaFMWkdw0pGlBb838ISZPQkg6XrgUPrGde4OfCN8fwfBqjDAPwO3m9mr4bm3AwcBXs80Z9TbQu96bTZzXjqdV773TFmhSypAlifSCHdcOODFN13Mo888ylf+5SsVXS9N5ch2WqTsWtLFtxZ+i2d6nmH08NFMmzCNo8ce3exp5YYsBX4H4NnI5+XAh4qOeRD4LIEb59PA1pJGJpy7Q/EFJE0GJgN0do6u28SdxnD4EZueSNcM355v//inXP7CZNbZG0D5uOdWEPc0cdxJonzbotvYdfSuFVmwacQ7zSJlKyQYFf++T/c8zeSbJwO4yIdk2fAjzp9U/Iz8TeATkh4APgE8R5Cym+ZczGy6mY0zs3HbbLNdrfPNBd3dcPbZ8NprycckhSe2ctjisJ4VzHnp9I3iXqCVG1GUiuOOUkqUK/3um3VsVnJ/mkXK4gYhaZqKNIO43/eNt97g9IWnN2lG+SNLC345sFPk844E2VcbMbPngc/AxgD/z5pZj6TlwL5F596Z4Vxzw7x58MgjcOON8JWEp/NWij5JiqGP45XeZ+K3t6hLIW0cd6kSwJV8964lXaxZtyZxf9oiY62SYJT02zzTE///aCCSpQV/H7CLpJ0ldQBHAfOjB0jqlFSYw6kEETUAtwIHStpW0rbAgeG2tqa7G+64A8zgzjtLW/Gtws1XvMgNc23jqxQjh8S72eoV99yokr4FkuZdvL2URV3Jd6/Xk06rJBgl/Tajh7u7tkBmAm9mvcBUAmFeBsw1s4clnSvpU+Fh+wKPSnoM2B6YFp77KnAewU3iPuDcwoJrOzNvXiDuAOvXw7e/nX+Rr6e7aNLbp9GhLfpsqzbu+Qab2+/V6HIHkyZMomNoR59tcd9n/NjxHDjuwH7nV/rdywlwWldL2htTs4n7fbcYugXTJkxr0ozyR6Zx8Ga2AFhQtO2syPsbgRsTzr2KTRZ921Ow3nt7g8/r1wfiPns2nHRSc+dWinq6i8aPCBbG5rx0Oq/0lo+iaXbzjXJUEsf9lX/5CruO3rWmhc1Kuj2VGrdVEowK32H+wvkeRZOAZ7LmhKj1HqWrC44+GkaMqO/1qolfr0fMe7m6NuNHHB0I/eE3lB2rFQqQVRLHXWvMd9puT+Us/VZKMBo/djwXjb2o2dPILS7wOeGxxzZZ71E2bCi94Fot1cSv1yPmvZUWiFuNtN2e0rhaPMGoPXCBzwnnnx/8290NU6fCW29t2nfnnfC5z9Xfik9DktXu5JNy3Z4A1q5bS9eSLhfwAUCWUTROFcS5agpWfDNwcW9dxo8dzwkTT2Crzbfqs33Vm6tyGdfu1B8X+JwR56rp7Q22O06ljB87nmEdw/ptb+UEMic97qLJGQVXjePUi1aJa3fqjwt8g8hb1cV6dmlqZImEpAJj7dhQuxSV1IoZSI0znL64wDeIvDXpqMdNpVxmahYkFRjLe+GxepK2iFlSXXjIZ1y7U39c4J0+pI2aaeXCZq1OmloxperCp61J47Q+LvBOH0qJezMsdqc/aXzqs26ZlSjul518WWZzc/KFC7zjtBjlfOpdS7pY9eaq2HObsbDaCrXl2xUXeMepgmaKVrlaMaXCHxu9sDrjv2dw26LbNn4u18TFqS8u8A2inlErA5k8FBhLu8iZFeVqxZSy0qMLq1nfpLqWdPUR9wJ5rC3frrjAN4isQiG7u+GCC+Ab32hOKYM01DNENA+hkHloiFGqVkySC2erzbdKXITN4iZV6knCY/Abgwt8jkkjjGk6QFU6fhy1PGnkKUS0HnH0eU8cSnLhHHvwsRs/N+ImVer38Bj8xuACnzOiFnk5YSzuAFVckKzcDWIgRszUI44+74lDacr9NuImVao+vcfgNwYX+JwRtciPT3FsoTBZXFnhPFnOeWL2WDh9AjwzHEb3wLSFcPSS9Oc3uiFGKV950r5y5X4bcZNKqk9/4LgD3f/eIFzgc0SxRf4gY/k6F/MrjmQUK2KPLRQm6+1tblnhWkl82qhzCYLZY2HyRHgj7PT29IjgM0BH8ml9aGRDjFK+cqBqP3ojblKt1DikXXGBzxHFFvnRzGYZu3MeZ3IpUxOPLZBVc5BGkPi0saKHiaOOr5vInz5hk7gXeKMj2P7jCsZpVEOMUr7ywvu4feXm1ijxrdfv5LH01eECnxPiLPKHeT8gZnIsZ3JeHys+qazw0qVw9tmwYPnYxk2+DLWGiFZTZ6awmFrsjnk6IZrymXy0ce1HNb7yUvtaUSibHZbaCCTtBFwDjAI2ANPN7MKiYwRcCBwCvAEcY2aLS43rAp8TknqyAqxnUB8rfs3w7RPLCs+YAbffDj+2E/tZ/cU0Kja/GdUyC+Je7I6RQdzPvONqNXR+aSnnK6/Ej96qQpmHsNQG0AucYmaLJW0N3C/pdjNbGjnmYGCX8PUh4Ofhv4kMaIHPUwnf+J6sgeisYxgzOk5iz0tOKulfj/rw46z+AgUBb/f+qHHuGIvR8Y6hHRz2pRMaM6kKKecrr8SP3qpCmfew1HpgZi8AL4TvV0laBuwARAX+UOAaMzPgT5JGSHpHeG4sA1rg8xRlErXIZ8yA3/2ur+Cn8a9HnwKKrf4o7S7sBUq5XTqHd7aEmyKNrzyty6VVhTK3YanbdsPhN6Q9ulPSosjn6WY2Pe5ASWOAvYB7i3btADwb+bw83OYC30pU07av2Ie/jmElrfhKyfppJ8ldVAujewK3TDGtVlGx1EJl2kXMriVdSMJi/IBNF8oyNDosNSNWmtm4cgdJ2gqYB5xsZn8r3h1zSsmEFRf4HFJN2744H34pK75SKnnaqeZmcPMVL8aeN3ssnHqgWP69Iyu2tqct7OuDB9hiXWPrseSBgu99g23ot68VhHKghFtKGkog7rPN7KaYQ5YDO0U+7wg8X2pMF/g2Ic7qX8cw7uYjfbaVW0CtpHxBgcOP0MaxS2XIlhs3Kv4TvzaCeW/vCQU6uHOt7FnJlb+6GCi/KLhm++EcvSSIvolG0Zxz3+ZsOa1x9VjyQJzvHWCQBnHCxBNa4rs2Kiy1WYQRMlcCy8zsZwmHzQemSrqeYHG1p5T/HVzg24Zkq38vbij9FNeHWtwk9XSxDFvRw+mTYmLWh5JqUbAQN99Bcnx7qy46VkqSj93MymbEOg3jo8AXgCWS/hxuOw0YDWBmvwAWEIRIPkEQJnlszDh9GNAC7yV8G8/hRyi13z5pkbRei4KtuuhYijihTtMgpF5PMn6jqA4z+wPxPvboMQacVMm4qQRe0pbAm2a2QdJ7gb8HbjGztyq5WN4YKNEkeSOtpZ+0SFqvRcHcRmdUSZJQ7/uBfbnzwTtLNgipx5PMQHF5tRKDUh53FzBM0g7AQoJHg1nlTpJ0kKRHJT0h6bsx+0dLukPSA5IeknRIuH2opKslLZG0TNKp6b+SUw0Tjx+10ZdeC/UYo8C0hcGiaJTiRdJamDRhEh1D+/qAslp07FrSxZQLpnDk945kygVT6FrSVfdrJAn14scXc8LEE+gc3okQncM7+/je6/UkU66sgtN40rpoZGZvSDoOuNjMzpf0QMkTpMHApcABBKu/90maX5SZdQYw18x+Lml3Ah/TGOBwYDMzGytpC2CppDlm9lRF364BJDXcyHMjjmoWUmFTCeF6ingpChUeiys/dkyrjzXYqOiMRlm2pYS6mgYhlT7JtKPLq9VJLfCS9gGOBo5Lee7ewBNm9mQ4wPUEmVhRgTdgm/D9cDaF/BiwpaQhwObAOqA4JjQXJDXcqKURB2R7g6hG3KPrElnErPe7Xtia7+glfUv5rtl+ODfX8TqlhK9e/uRGLeZWK9T1ijNvN5dXO5BW4E8GTgV+bWYPS3o3cEeZc+KyrorrJpwD3Cbpa8CWwP7h9hsJbgYvAFsA3zCzV4svIGkyMBmgs3N0yq9SP5IabkS333EH/PWv8K1vVSbUtd4g6klx84+4tYt6W/XNbs1XrdUdd1NolGVbrVAnPckATLlgSuobXJskJLUVqQTezH4P/B5A0iCCrKyvlzktTdbVJGCWmf00fEK4VtL7Caz/9cA7gW2BLkn/W3gaiMxrOjAd4D3vGdfwFkRJDTei23t74fHHKxPqcp2a2oHoDaEZtX/KUY3VnXRT2HLzLVn95up+x9fbsq3F5VT8JBP3XS6+6WJm3jKTYw8+NnbMgZKQ1EqkjaK5DjiRQHTvB4ZL+pmZlSqhnSbr6jjgIAAzu0fSMKAT+Ffgf8IonZck/REYBzxJTkhquLH//n23F4T+jjvSC3W5Tk2tRjnffR47TFVjdSfdFDYbshkdQzsqsmyrdQ/VKyEoKTlq9ZurSz7JtHtCUquRNopm97AuwmEEC6GjCYLyS3EfsIuknSV1AEcRZGJFeQaYACBpN2AY8HK4fT8FbAl8GHgk5VwbQlLDjYsuii/729sbCHU5km4cr71W85SrIm1OQNJxrZpTkGRdl7K6k8R/9ZurS0axFFOwnlf2rMSwjU8CWUTeJFHqRuaRMa1DWh/80LBOwmHAJWb2lqSSLhEz65U0FbgVGAxcFfrvzwUWmdl84BTgCknfIHDfHGNmJulSYCbwFwJXz0wze6iqb5gRSQXBVqyIK/ub3t2SdaemicePStxXi6skby6WWqnEn1ywti0hY3jk8JEVWbZ5yLAt1TAbsouM8USp+pJW4C8HngIeBO6S9C5SRLWY2QICiz+67azI+6UEKbrF560mCJXMLeUKglVb8reaSpKVUMod0m4iXQtp/cnFvupiqllkzEO4YVLD7AJZRMZ4olT9SbvIehFwUWTT05L+KZsptQfVCnU1lSQbSZ6apGRNGqs7yVcNQVniaizQLMINK7WMC/tm3TKLVW+u6rMv7qZVD8s7D08u7UbaRdbtgR8A7zSzg8OkpH0Iqp85MeRRqEu5Z9JSS5OUvNb+KfRvLWbN9sPLhmsmWdVCVdecr3e4YbWWceEGV06848b/+W9/zsxbZvL6m6+nFvw8PLm0G2ldNLMIfOKnh58fA36FC3xL0exolbxa+ElNvdM0+87C2q53uGGtlnG5J5m48XvX924MDU17Q/FEqfqTVuA7zWxuoSZMuIC6PsN5OU7N1GKZpyWr5J56hhtmbRmnGWfdW+uYectMT5RqMGkF/nVJIwkTlSR9GChv3jgtRd6TjyqlFss8La2Q3JO1ZVwu4qbA6jdX07Wkq2T7Qcj3b9lqpBX4fyeIYX9PmHS0HfC5zGblNJ1hPSv6CL5pEIpp+ZYFE48fxbAjYnz1dbS860nek3viLOPBgwazdt1ajqyiFWKa8ZMo5xbK+2/ZaqSNolks6RPArgRx6Y+2ei34vJLXKJVy4l7PhdLEhdw6Wt4DiWLLeMvNt2TNujUbo2MKZQgefeZRdh29a8UWdPH4W22+Vb/ImwK+YNpYKunotDdBKd8hwAfDDu3XZDKrAUwtUSrlyLIKZCu7cwqVK+O2twtRy3jKBVNia+Pctug2fvfA7+hdH8T3VhKHXmx5H3f+cbEi7wumjSVtmOS1wHuAPxPUo4HAH+8CXyXNqBffiCqQlVL8xDJ7LIw5uW/992i54CzIo9snS0pZ0QVxL1BtHPoxBx/jC6Y5IK0FP46gHk3DKza2K3kqB9xMisV98sRNjbafHhF8hupEfiBY5tWQdlG0QDVuFV8wzQdpBf4vwCiC+uxOjeSpHHAjmnek5fQJm8S9wBsdwfZqBH6gWeZps0knTZjExTddnHrcat0qvmDafFLHwRO0zfs/YG1ho5l9KpNZtTl5Kgdc7LZJWuQtFUVTrwXWZxIM68L2gW55l6KSbNXxY8fz6DOPctui2/psHzxoMJL6uGncrdLapBX4c7KcxEChuxt+8pOgw1NxOeDPfQ6+8K3SlR4bQTMXS0f3BG6ZYkaO6OQGqy7tf6CQJlu12MI/cNyBLH58cb8uTu5WaR/SCvwhZvad6AZJ/0HY5amViS52fuFb2YYozpsXdHdS0bpmwYoQH3+eAAAa6UlEQVQ/vsJKj3kNqayWaQv7+uDBLci0lMtWjbPw73zwzti69C7o7UNagT8A+E7RtoNjtrUc0cXOJIGth4+64HeH/vXeqy0HnGVIZa1Uc/Mp+NlPnxC4ZUaOqK4a40CkXLaqV2ocmJQUeElfBaYQZLBGG25sDdyd5cQaQfFi54tszyiyEceo333IENhvvxi/+xGZXLopVHvzOXrJJqFvJ7dM1o0sytVx8UqNA5NyFvx1wC3AD4HvRravMrNXM5tVgyhe7DyPM7mUqVWPl2S1/nXrsRy95qFYv3u7NdOulMQSwm20oNqIRhblwhK9UuPApKTAm1kP0CPpQuBVM1sFIGlrSR8ys3sbMcksiOt9OpNjOZPzqrbik6zTH686ESv6pTdsgNmz4aWXKk92SrqRtArFRc0KTbn7HnRDA2eULY1yj5QKS/RKjflG0lXAJ4GXzOz9Mfv3BX4L/DXcdJOZnVtu3LRNt38ORHObXw+3tSxxvU/XM4jzOLPu17qLj8d2d1q8eJP/H9I3rm5lcS+mnb5LEnlwj4wfO76ixt9Ow5kFHFTmmC4z2zN8lRV3SL/IqmgWq5ltkFRJHZvMef55eO219JZwXEu9dQzjbj7S79haQxQ/zl0s1fs54IBNfvfubpg6tW+yU70iX5rdIamdqIfvPC/uEU88yi9mdpekMfUeN61IPynp62yy2qcAT9Z7MrWwZk1lCUPJLfX24gbqV5HhBUYxk2P7Za1mlewU6+5oAnnIkK1VnOvlO3f3iAN0SloU+TzdzKZXOMY+kh4Enge+aWYPlzshrcCfSNB0+wyCImMLgckVTi5z8rRw+QKjOIrr2Zkn2UDgcy4I+Wc/29//X27ureZ3L34aaXRRs1rEuXBjiLO6q/GdV1uXJevIG6ehrDSzcTWcvxh4l5mtlnQI8Btgl3Inpa0H/xJwVA2TawjNTvuPWq3ncSZdfIw/8lHWhz9zQcjXru3v/y8391YS9zxQ7cJm8Y0hjmqLbzXj6cFpD8zsb5H3CyRdJqnTzEpWjUtbLngYcBzwPmBY5EJfrnK+mdDs8MOC1drdDTOmgr21qbZygQ0bgsXVuEXXapKdorjvfRPVLmzG3RiKaYTv3BOTnCiSRgErzMwk7U0QIFPW0kjrorkWeAT4Z+Bc4GhgWZVzzZRmW/EQH6FToLcXRo6EK6+s3/Xq4XfPuuxBYrx7Rjelahc2y90AGuU7z0PkjdM4JM0B9iXw1S8HzgaGApjZLwhapH5VUi/wJnBUmvLtaQX+78zscEmHmtnVkq4Dbq3ie2ROPSzhWiiOrwfo6IBLLmnMU0W1jUSyLnvQ6No41S5slquVvu8H9m2IBZ2XyBunMZhZyf+YZnYJcEml46aNgy/0X31N0vuB4QTt+3LDu98Nc+cGr+QImeyJs94LTxVZ090N3/lO39j6gUq1cd+TJkyiY2hH4v7Fjy+u91RTz8Mjb5xKSWvBT5e0LXAmMB/YKnzvFBEXX1/8VFGNlZ3GxXHddUEuAOQroqhZVBP3XTg+qSFGo1wk3hHJqQdpo2hmhG9/D7w77eCSDgIuBAYDM8zsR0X7RwNXAyPCY75rZgvCfXsAlwPbABuAfzSzNWmv3SzSPD1U066vnIujuxvuuiuyYd1a/jx5xsbaOq1aQrgZjB87PjFMspSLpN5hjZ6Y5NRKKheNpJGSLpa0WNL9ki6QVNIZKGkwcClBWeHdgUmSdi867AxgrpntRRCGeVl47hDgl8CJZvY+gsWHt8iI7m44++zA+o2+z+pa0QqW9brOddf1dQ2tYzNmciwvElj4HmZZGZW6SAphjSt7VmLYxrDGriVdjZiu48SS1gd/PfAS8FmC1dyVwK/KnLM38ISZPWlm68IxDi06xggsdAj8+s+H7w8EHjKzBwHM7BUzK444LEtasY5a1NH3WRCXwVor/az3kPUMTl1bJ20dnIFCpT78UmGNeaFrSRdTLpjCkd87kikXTPGbzwAgrQ/+bWZ2XuTz9yUdVuacHYBnI5+XAx8qOuYc4DZJXwO2BPYPt78XMEm3AtsB15tZP+eHpMmEGbWdnaP7TSCNKyRqURf+zaoZdlwFy3pcJykscx2bxdbWiSPqvomGTA7rWbExC7XV3Dy1ukwqcZHkPazRE6cGJmkt+DskHSVpUPg6AvjvMufE5aYXy9AkYJaZ7QgcAlwraRDBjedjBPH2HwM+LWlCv8HMppvZODMbt8022/XZl9YVEhXH3l5YHz4n1NO6LjxFZBVhkxQWuicP8AAfrHi8vHWKqsbybLTLJMk3n5ewxlZ4wnDqT1qBP4Gg+ce68HU98O+SVkn6W8I5y4GdIp93ZJMLpsBxwFwAM7uHIEu2Mzz392a20szeABZAZUqVxhVSbFEXrHfYZF1HbwzV+OejTxFpImyq4fzzN4WIGtr4qkbc80a1Qt1oQct7WGPenzCcbEgl8Ga2tZkNMrMh4WtQuG1rM9sm4bT7gF0k7Sypg2ARdX7RMc8AEwAk7UYg8C8TJFHtIWmLcMH1E8DStF8qyRVSLMylMk6h/42hUv988VPEaafB5ZfDbrvB9OnZxO23my+9WqFutKDlvd563p8wnGxIXdM9DFscEz3HzG5KOt7MeiVNJRDrwcBVZvawpHOBRWY2HzgFuELSNwjcN8eE6bfdkn5GcJMwYIGZlXMJbaSUKyTqi4+zqKNEretisU7jN096ikhaF6hHuYBW8pGnoVqhbkYmaJ7DGr1k8cAkbbGxq4A9gIcJYtIhEN5EgYeg6hmBeyW67azI+6XARxPO/SVBqGTFpHWFnHrqpoSjG2+E22+HAw4IyvkWJyJVWr897inijjsK363vTaKQ+DS+B0bFjJXHEMesa9cUqFaoXdD64olTA5O0FvyHzaw4hj23pHV5FFwus2fD3XdvEt61a/ta2dVEv8Q9RURvOtGbRGEetTb9rhdpsmYbtRBbrVC7oPUnz08YTjakFfh7JO0eWtxtQdTl0tUFCmN+1q8PYsqjVnZal0+UuKeI6BiFm8T++2+aR61Nv+tFntw8tQi1C5oz0Ekr8FcTiPyLwFqCEEgzsz0ym1nGFLtcCqyPpFMVRLya6Jfip4gZM+B3v+tvxV900aZ5FJp+F1vxLzCKs8+uvEJku+BC7TjVkVbgrwK+ACxhkw++ZYkr6RtHwcquR6nfpJvE8uWbPq9jWKwVfx5nVly7JksmHh+3UuA4Tt5IK/DPhFEvbUG58Mgo9WogErcuEGfVF1vxSU27m0keF30dx+lPWoF/JGzycTOBiwYoHSaZZ5LCI4cOhbeKSppl2UAkbh7rGMaCMSdxw/knAcFNoPd3QG9julXVGh1T73h7bzztONWTVuA3JxD2AyPbyoZJ5pV6JhZV20EpzTyyql1TilqjY+q5QOv1UxynNtJmsh4b88pVw+1mkWX1yWZ2h8oDXj/FcWojbT34HSX9WtJLklZImidpx6wn1yiqrQGfVW33AlnVrmkVvH6K49RGWhfNTIJiY4eHnz8fbjsgi0k1mmo6LBXOK85ujcuCrZZm9pYtRZpEqHrgjacdpzbSCvx2ZjYz8nmWpJOzmFCjqabGTPS8Yv94cRZsO9KoRCgvN+A4tZG2XPBKSZ+XNDh8fR5oi+fkajsszZvXN0EK+mfBZtX2L0vyVI0y7xUaHSfvpLXgvwxcAvwnQfTM3cCxWU2qUdQSpfLYY32zXiE+C7ZSK76WqJx6kKcyBeBZrI5TC2kt+POAL5nZdmb2dgLBPyezWTWIWqJUTj01iJsH6OgI/OWFz5Bcgz7NnLLsCes4zsAhrcDvYWbdhQ9m9iqwVzZTahy1RKkUu3aiNWUKVOLy6e6G008PMlvLuXiqjfpxHGdgkdZFM0jStgWRl/S2Cs7NLWkSjeLcJXGunWhNmQKVhDTOmwePP76pqmUpF0+1UT+O4wws0or0T4G7Jd1I4IM/ApiW2axyQpKQxrl2hgyB/farTnALNwzo3xO2eD2g2qgfx3EGHmkzWa8BPgusIOiZ+hkzuzbLiTWbUklM9UhAirpZ5s2Lr40T5+KpNurHcZz8IumqMJH0Lwn7JekiSU9IekjSB9OMm9rNEjb7aJuGH+Uo1aKvHglIcd2kiunthZdue4CJ9x7MzVe82JTaNI7jNIRZBJGK1yTsPxjYJXx9CPh5+G9J0i6yDijihPT22+Hpp6sbq3hBtLibVHE8fQdrmMKlGOIBPrgxa3Sg16ZxggJsUy6YwpHfO5IpF0yha0lXs6fk1AEzuwt4tcQhhwLXWMCfgBGS3lFu3JZfKM2COCE1gwsvhJ/9rPKxiv34Sd2kCqxjGHfzkX7bB3ptmoGOV9fMF9t2w+E3pD68U9KiyOfpZja9gsvtADwb+bw83PZCqZNc4GNIqhe/fHlgiad1hzz1VGD5RxdEzfp3k+roCLpGHT9ZJcfLa20apzGUqq7pAp97VprZuBrOjxOHsm2LXOBjiApptOvSkCGVhSZGY+OjrpQkN8vxtU/daWO8uuaAZjmwU+TzjsDz5U5yH3wJkhY10yQYPfVU39j4wrlLl7qbxamOpCqaXl1zQDAf+GIYTfNhoMfMSrpnwAW+JLUsal50Uf9tGzbA7rvD3LmbXpdfDrvtBqedlq9CX07+mDRhEh1DO/ps8+qa7YGkOcA9wK6Slks6TtKJkk4MD1kAPAk8AVwBTEkzrrtoQuKyVqtd1OzuTp/ZGl2EHZGzQl9Ovij42b1HbfthZiXv0mZmwEmVjusCHxIX7VLtoubs2f23xWW6elaqUyleXdOpBHfRUP/Wew880H9bkvXuWamO42SFW/CUzlqtlO5uWLMmeF8If4yzyj0r1XGcrMnUgpd0kKRHw/oJ343ZP1rSHZIeCOsrHBKzf7Wkb2Y1x1oiZeJIa5V7VqrjOFmTmcBLGgxcSlBDYXdgkqTdiw47A5hrZnsBRwGXFe3/T+CWrOYI9RXa7m6467Y3+9wsum57g/FHjGLi8aP6HOtZqY7jZE2WLpq9gSfM7EkASdcT1FOIFiwzYJvw/XAigfuSDiMIC3q9HpNJqu1eT6GdNw82FCWcrWcQ53Eml/ZM7bPds1Idx8maLAU+rnZCcfWzc4DbJH0N2BLYH0DSlsB3gAOARPeMpMnAZIDOztElJ5NU271YaKM3gkp57LGgjkyUpLoyjuM4WZOlDz5N7YRJwCwz2xE4BLhW0iDge8B/mtnqUhcws+lmNs7Mxm2zzXaJx1USJVNLT9TzzwdD/V4PkKp0s+M4Tl3JUuDT1E44DpgLYGb3AMOATgJL/3xJTwEnA6dJmkqVzJ4Nb70VvC/lX4/eCKotD+w4jpMXshT4+4BdJO0sqYNgEXV+0THPABMAJO1GIPAvm9l4MxtjZmOAC4AfmNkl1Uyiuxv+8IdNn0tFyUQXXAvlgR3HcVqVzATezHqBqcCtwDKCaJmHJZ0r6VPhYacAx0t6EJgDHBOm5NaN2bP711yPs+KLwyUhKDdQqRXv9WQcx8kLmSY6mdkCgiI50W1nRd4vBT5aZoxzaplDmqzS7m749rc3uXGiVNrk42avJ+M4Tk5o60zWaFZpgbjs0nnzoKcnfoznnqusyYfjOE5eaOtaNGmSmLq7g4YeSQwe7NmljuO0Jm0t8GmSmObNg/Xrk8fw7FLHcVqVtnbRlMsWLVjvxVb+0KEwbRrMnNk/87VakjJpHcdxsqItLfjubjj77PIFw5Ks997eoCNTtQlPSdeq53iO4zjlaEuBTyumjz3W33qHYNvy5fWrD1/vevOO4zhpaDsXTSVdkpJcODNmBK6b3t7a68NDfevNO47jpKXtLPhauyTVuz58vcdzHMdJS1sJfD3EtN6NOLyxh+M4zaKtBL4eYlrvRhze2MNxnGbRVj74eohpvRtxeGMPx3GaRVsJfD3E1OPVHcdpF9rKRVMPPF7dcZx2wQU+gserO47TTrjAR6g1xNJxHCdPuMCHVBNimbYkguM4TjkkHSTpUUlPSPpuzP5jJL0s6c/hq2y65IAX+IJIX3dd5SGW7q93HKceSBoMXAocDOwOTJK0e8yhvzKzPcPXjHLjDniBL4j04sXxIZa//328he7+esdx6sjewBNm9qSZrQOuBw6tddC2FvhyLpRoueA1a2D6dJg7d9PrwANh3bp4C9399Y7jVECnpEWR1+Si/TsAz0Y+Lw+3FfNZSQ9JulHSTuUu2tYCX86FEi0X3Nvbv9NTkoVeyl/vfnnHcWJYaWbjIq/pRfsVc05xrdubgTFmtgfwv8DV5S7atgJfzoVS3OzDLDi+cFwpC71USQT3yzuOUwXLgahFviPwfPQAM3vFzNaGH68A/qHcoG0r8OVcKHHNPgpWfLmImqSSCEuXul/ecZyquA/YRdLOkjqAo4D50QMkvSPy8VPAsnKDtlWpggJJAh2tDb90aX8r3CzYXngfJVrHvVQd+Rdf7H+84zhOKcysV9JU4FZgMHCVmT0s6VxgkZnNB74u6VNAL/AqcEy5cdvSgk9TVXL33WFI0e1tyJBgezVFy7zuu+M4tWBmC8zsvWb2HjObFm47KxR3zOxUM3ufmX3AzP7JzB4pN2ZbWvBpBLrUMdUULSt1U3Er3nGcZtCWAp9GoOtdxtfrvjuOkzfaUuCbgdd9dxwnb7SlD95xHMfJWOBTFM8ZLekOSQ+E2VmHhNsPkHS/pCXhv/tlOU/HcZx2JDOBT1k85wxgrpntRRD3eVm4fSUw0czGAl8Crs1qnmlIyk71rFXHcfJMlhZ8muI5BmwTvh9OmLllZg+YWSGL62FgmKTNMpxrSZKyUz1r1XGcPJOlwKcpnnMO8HlJy4EFwNdixvks8EAkRXcjkiYXivf87W8vp5pUpVZ3UskDrybpOE7eyVLg0xTPmQTMMrMdgUOAayVtnJOk9wH/AZwQdwEzm14o3rPNNtulmlSlVndSyQOvJuk4Tt7JUuDLFs8BjgPmApjZPcAwoBNA0o7Ar4Evmtn/q8eEKrW6k7JTn3rKs1Ydx8k/WQp82eI5wDPABABJuxEI/MuSRgD/DZxqZn+s14QqtbqTslMvuqjy7k+O4ziNJjOBN7NeoFA8ZxlBtMzDks4NC+YAnAIcL+lBYA5wjJlZeN7fAWdG+g++vZb5lLLGk3zySdmpK1Z41qrjOPkn00xWM1tAsHga3XZW5P1S4KMx530f+H4951LKGn/uufiaMZ6d6jhOKzNgMlmTrPHlyz0SxnGc9mTA1KKJs8ZnzAi6OvX2euVHx3HajwFjwRfj9dsdx2l3BqzAp2kK4jiO08oMWIH3+u2O47Q7A8YHX4xHyDiO0+4MWAvecRyn3XGBdxzHaVNc4B3HcdqUthV4b8bhOM5Ap20Fft48WLYMvvMdF3nHcQYmbSnwhSSmwvvZs5s7H8dxnGbQlgI/b16QtFSgq8uteMdxBh5tJ/AF6339+k3bNmxwK95xnIFH2wl8sfVeoJ5WfNoFXF/odRynmbSdwD/2WF/rvUA968yk7etaaf9Xx3GcetJ2An/++TBmTPy+etSZSdvXtdL+r47jOPVGVlxSsUWR9DLwdPZX2nk0bNsJUiDfr66Ep56JHNAJrExxXJ4Jv0PL4vNvLq0w/3eZ2Xa1DCDpfwi+axpWmtlBtVyvGtpG4POCpEVmNq7Z86iFVv8OPv/m0urzbyfazkXjOI7jBLjAO47jtCku8PVnerMnUAda/Tv4/JtLq8+/bXAfvOM4TpviFrzjOE6b4gLvOI7TprjA14CkqyS9JOkvkW0/lvSIpIck/VrSiGbOsRRx84/s+6Ykk5Q2zrcpJH0HSV+T9KikhyXltgNvwv+hPSX9SdKfJS2StHcz51gKSTtJukPSsvC3/rdw+9sk3S7p8fDfbZs914GIC3xtzAKKkxduB95vZnsAjwGnNnpSFTCL/vNH0k7AAUArJGbNoug7SPon4FBgDzN7H/CTJswrLbPo/zc4H/ieme0JnBV+ziu9wClmthvwYeAkSbsD3wUWmtkuwMLws9NgXOBrwMzuAl4t2nabmfWGH/8E7NjwiaUkbv4h/wl8G8j9CnzCd/gq8CMzWxse81LDJ5aShPkbsE34fjjwfEMnVQFm9oKZLQ7frwKWATsQ3GCvDg+7GjisOTMc2LjAZ8uXgVuaPYlKkPQp4Dkze7DZc6mB9wLjJd0r6feS/rHZE6qQk4EfS3qW4Okjz0+BG5E0BtgLuBfY3sxegOAmALy9eTMbuLjAZ4Sk0wkeX1umEr2kLYDTCdwCrcwQYFsCl8G3gLmS1NwpVcRXgW+Y2U7AN4ArmzyfskjaCpgHnGxmf2v2fJwAF/gMkPQl4JPA0dZaiQbvAXYGHpT0FIF7abGkUU2dVeUsB26ygP8DNpC+KFQe+BJwU/j+BiC3i6wAkoYSiPtsMyvMe4Wkd4T73wHk1k3WzrjA1xlJBwHfAT5lZm80ez6VYGZLzOztZjbGzMYQCOUHzezFJk+tUn4D7Acg6b1AB/mvbhjleeAT4fv9gMebOJeShE9GVwLLzOxnkV3zCW5UhP/+ttFzczyTtSYkzQH2JbAOVwBnE/hLNwNeCQ/7k5md2JQJliFu/mZ2ZWT/U8A4M8utOCb8Da4FrgL2BNYB3zSz3zVrjqVImP+jwIUErqY1wBQzu79ZcyyFpI8BXcASgiclgNMI/PBzgdEE0ViHm1ncgr6TIS7wjuM4bYq7aBzHcdoUF3jHcZw2xQXecRynTXGBdxzHaVNc4B3HcdoUF3jHcZw2xQXeaVskDW72HBynmbjAOy2LpN9Iuj+sQz453LZa0rmS7gX2kfQPYcGx+yXdGkmfP17SfZIelDQvrMPjOG2FJzo5LYukt5nZq5I2B+4jSO9fCRxpZnPDGim/Bw41s5clHQn8s5l9WdJIM3slHOf7wAozu7hZ38VxsmBIsyfgODXwdUmfDt/vBOwCrCcofAWwK/B+4PawmORg4IVw3/tDYR8BbAXc2qhJO06jcIF3WhJJ+wL7A/uY2RuS7gSGAWvMbH3hMOBhM9snZohZwGFm9qCkYwjqwThOW+E+eKdVGQ50h+L+9wS134t5FNhO0j4QlLWV9L5w39bAC6Eb5+iGzNhxGowLvNOq/A8wRNJDwHkE7RH7YGbrgM8B/yHpQeDPwEfC3WcSVDy8HXikITN2nAbji6yO4zhtilvwjuM4bYoLvOM4TpviAu84jtOmuMA7juO0KS7wjuM4bYoLvOM4TpviAu84jtOm/H8tDN9ZEgIXjQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Load Data\n",
    "data = np.loadtxt('seeds_dataset.txt')\n",
    "x = data[:,[0,2]]\n",
    "y = data[:,-1]\n",
    "\n",
    "#Prepare grid for plotting decision surface\n",
    "gx1, gx2 = np.meshgrid(np.arange(min(x[:,0]), max(x[:,0]),(max(x[:,0])-min(x[:,0]))/200.0 ),\n",
    "                     np.arange(min(x[:,1]), max(x[:,1]),(max(x[:,1])-min(x[:,1]))/200.0))\n",
    "gx1l = gx1.flatten()\n",
    "gx2l = gx2.flatten()\n",
    "gx   = np.vstack((gx1l,gx2l)).T\n",
    "\n",
    "for depth in np.hstack(([1,2,3],np.arange(4,max_depth,2))):\n",
    "\n",
    "    #Fit the Decision Tree classifer and make predictions\n",
    "    clf = tree.DecisionTreeClassifier(criterion=criterion, max_depth=depth,min_samples_split=min_samples_split )\n",
    "    clf.fit(x, y)\n",
    "\n",
    "    #Compute a prediction for every point in the grid\n",
    "    gyhat = clf.predict(gx)\n",
    "    gyhat = gyhat.reshape(gx1.shape)\n",
    "\n",
    "    #Plot the results\n",
    "    plt.figure(depth)\n",
    "    labels=['sr','og','^b']\n",
    "    cmap_light = ListedColormap(['#FFAAAA', '#AAFFAA', '#AAAAFF'])\n",
    "    for i in [1,2,3]:\n",
    "      plt.plot(x[y==i,0],x[y==i,1],labels[i-1]);\n",
    "    plt.xlabel('area');\n",
    "    plt.ylabel('compactness');\n",
    "    plt.pcolormesh(gx1,gx2,gyhat,cmap=cmap_light);\n",
    "    plt.colorbar();\n",
    "    plt.clim(0.01,3)\n",
    "    plt.axis('tight');\n",
    "    plt.title(\"Criterion: %s, Max Depth:%d\"%(criterion,depth));\n",
    "    plt.show()\n",
    "    \n",
    "    #Plot the tree\n",
    "    #requires pydot package\n",
    "    #dot_data = StringIO();\n",
    "    #tree.export_graphviz(clf,out_file=dot_data,\n",
    "    #                         feature_names=['area','compactness']);\n",
    "    #graph = pydot.graph_from_dot_data(dot_data.getvalue()); \n",
    "    #graph.write_pdf('seed%d.pdf'%(depth)) ;\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
