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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Python Machine Learning"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Chapter 3 - A Tour of Machine Learning Classifiers Using Scikit-Learn"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Overview"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"- [Decision tree learning](#Decision-tree-learning)\n",
" - [Maximizing information gain – getting the most bang for the buck](#Maximizing-information-gain-–-getting-the-most-bang-for-the-buck)\n",
" - [Building a decision tree](#Building-a-decision-tree)\n",
" - [Combining weak to strong learners via random forests](#Combining-weak-to-strong-learners-via-random-forests)\n",
"- [K-nearest neighbors – a lazy learning algorithm](#K-nearest-neighbors-–-a-lazy-learning-algorithm)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"<br>\n",
"<br>"
]
},
{
"cell_type": "code",
"execution_count": 54,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"from IPython.display import Image\n",
"%matplotlib inline"
]
},
{
"cell_type": "code",
"execution_count": 55,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"from sklearn import datasets\n",
"import numpy as np\n",
"\n",
"iris = datasets.load_iris()\n",
"X = iris.data[:, [2, 3]]\n",
"y = iris.target\n",
"\n",
"from sklearn.model_selection import train_test_split\n",
"\n",
"X_train, X_test, y_train, y_test = train_test_split(\n",
" X, y, test_size=0.3, random_state=0)\n",
"\n",
"from sklearn.preprocessing import StandardScaler\n",
"\n",
"sc = StandardScaler()\n",
"sc.fit(X_train) # not on the test set\n",
"X_train_std = sc.transform(X_train)\n",
"X_test_std = sc.transform(X_test)\n",
"\n",
"from matplotlib.colors import ListedColormap\n",
"import matplotlib.pyplot as plt\n",
"import warnings\n",
"\n",
"\n",
"def versiontuple(v):\n",
" return tuple(map(int, (v.split(\".\"))))\n",
"\n",
"\n",
"def plot_decision_regions(X, y, classifier, test_idx=None, resolution=0.02):\n",
"\n",
" # setup marker generator and color map\n",
" markers = ('s', 'x', 'o', '^', 'v')\n",
" colors = ('red', 'blue', 'lightgreen', 'gray', 'cyan')\n",
" cmap = ListedColormap(colors[:len(np.unique(y))])\n",
"\n",
" # plot the decision surface\n",
" x1_min, x1_max = X[:, 0].min() - 1, X[:, 0].max() + 1\n",
" x2_min, x2_max = X[:, 1].min() - 1, X[:, 1].max() + 1\n",
" xx1, xx2 = np.meshgrid(np.arange(x1_min, x1_max, resolution),\n",
" np.arange(x2_min, x2_max, resolution))\n",
" Z = classifier.predict(np.array([xx1.ravel(), xx2.ravel()]).T)\n",
" Z = Z.reshape(xx1.shape)\n",
" plt.contourf(xx1, xx2, Z, alpha=0.4, cmap=cmap)\n",
" plt.xlim(xx1.min(), xx1.max())\n",
" plt.ylim(xx2.min(), xx2.max())\n",
"\n",
" for idx, cl in enumerate(np.unique(y)):\n",
" plt.scatter(x=X[y == cl, 0], \n",
" y=X[y == cl, 1],\n",
" alpha=0.6, \n",
" c=cmap(idx),\n",
" edgecolor='black',\n",
" marker=markers[idx], \n",
" label=cl)\n",
"\n",
" # highlight test samples\n",
" if test_idx:\n",
" # plot all samples\n",
" if not versiontuple(np.__version__) >= versiontuple('1.9.0'):\n",
" X_test, y_test = X[list(test_idx), :], y[list(test_idx)]\n",
" warnings.warn('Please update to NumPy 1.9.0 or newer')\n",
" else:\n",
" X_test, y_test = X[test_idx, :], y[test_idx]\n",
"\n",
" plt.scatter(X_test[:, 0],\n",
" X_test[:, 1],\n",
" c='',\n",
" alpha=1.0,\n",
" edgecolor='black',\n",
" linewidths=1,\n",
" marker='o',\n",
" s=55, label='test set')\n",
"\n",
"X_combined_std = np.vstack((X_train_std, X_test_std))\n",
"y_combined = np.hstack((y_train, y_test))\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"<br>\n",
"<br>"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Decision tree learning"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"A machine learning model that breaks down the data with a series of questions\n",
"\n",
"In particular, we ask questions *most* helpful for dividing different classes\n",
"- e.g. \"sepal width $\\ge$ 2.8cm?\" \n",
" - Yes ==> Class 1\n",
" - No ==> Class 2\n",
"\n",
"Need to find the feature *most* helpful for dividing the data"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Information Gain (IG)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"$$\n",
" IG(D_p, f) = I(D_p) - \\sum_{j=1}^m \\frac{N_j}{N_p} I(D_j)\n",
"$$\n",
"\n",
"- $f$: the feature to split\n",
"- $D_p$: the data at the parent node\n",
"- $D_j$: the data at the $j$th child node\n",
"- $I$: impurity measure\n",
"- $N_p$: no. samples at the paraent node\n",
"- $N_j$: no. samples at the $j$th child node\n",
"\n",
"The lower the impurity at the child nodes, the larger the information gain."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"$$\n",
" IG(D_p, f) = I(D_p) - \\frac{N_{\\text{left}}}{N_p} I(D_{\\text{left}}) - \\frac{N_{\\text{right}}}{N_p} I(D_{\\text{right}})\n",
"$$"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Impurity Measures\n",
"\n",
"- Shannon Entropy\n",
"$$\n",
" I_H(t) = - \\sum_{i=1}^c p(i|t) \\log_2 p(i|t)\n",
"$$\n",
"\n",
" - $p(i|t)$: the proportion of the samples that belong to the class $i$ at the node $t$\n",
" - Entropy is 0 (min value) if $p(i=1|t)=1$ or $p(i=0|t)=0$.\n",
" - Entropy is 1 (max value) if $p(i=1|t)=0.5$ and $p(i=0|t)=0.5$ (uniform distribution)\n",
" \n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"- Gini Index\n",
"$$\n",
" I_G(t) = \\sum_{i=1}^c p(i|t)[ 1 - p(i|t) ] = 1 - \\sum_{i=1}^c p(i|t)^2\n",
"$$\n",
" - Gini index is 0 (min value) if $p(i=1|t)=1$ or $p(i=0|t)=0$\n",
" - Gini index is 0.5 (max value) if $p(i=1|t)=0.5$ and $p(i=0|t)=0.5$\n",
" - In practice, Gini index and entropy produces very similar results in decision trees"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"- Classification error\n",
"$$\n",
" I_E(t) = 1 - \\max_{i \\in \\{1,\\dots,c\\}}\\{ p(i|t) \\}\n",
"$$"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
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7dwRzoQsJkEDKEkgoZWzfX54MmlIoslByR3a+ZR5w4RQp8Ci+BateFO8pEh6e6UQCJEAC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\nQAABBBBAoEgCXwMD6hYsaV4+xwAAAABJRU5ErkJggg==\n",
"text/plain": [
"<IPython.core.display.Image object>"
]
},
"execution_count": 5,
"metadata": {
"image/png": {
"width": 600
}
},
"output_type": "execute_result"
}
],
"source": [
"Image(filename='./images/03_22.png', width=600) "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"$$\n",
" I_E(D_p) = 1 - \\frac12 = 0.5 \\qquad I_G(D_p) = 1 - (0.5^2 + 0.5^2) = 0.5\n",
"$$\n",
"\n",
"A:\n",
"\\begin{alignat}{2}\n",
" & I_E(D_\\text{left}) = 1- \\frac14 = 0.25 & & I_G(D_\\text{left}) = 1 - (\\frac34^2 + \\frac14^2) = 0.375\\\\\n",
" & I_E(D_\\text{right}) = 1 - \\frac14 = 0.25 & & I_G(D_\\text{right}) = 1 - (\\frac14^2 + \\frac34^2) = 0.375\\\\\n",
" & IG_E = 0.5 - \\frac48 0.25 - \\frac48 0.25 = 0.25 \\quad & & IG_G = 0.5 - \\frac48 0.375 - \\frac48 0.375 = 0.125\n",
"\\end{alignat}\n",
"\n",
"B:\n",
"\\begin{alignat}{2}\n",
" & I_E(D_\\text{left}) = 1- \\frac46 = \\frac13 & & I_G(D_\\text{left}) = 1 - (\\frac26^2 + \\frac46^2) = \\frac49\\\\\\\\\n",
" & I_E(D_\\text{right}) = 1 - 1 = 0 & & I_G(D_\\text{right}) = 1 - (1^2 + 0^2) = 0\\\\\\\\\n",
" & IG_E = 0.5 - \\frac68 \\frac13 - 0 = 0.25 \\quad & & IG_G = 0.5 - \\frac68 \\frac49 - \\frac28 0 = 0.167\n",
"\\end{alignat}"
]
},
{
"cell_type": "code",
"execution_count": 56,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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atWrhwYMHaNiwIdasWUMXbhAVKlxEcOfPn1d1CWRtbY0jR45g8eLFMDAwEDoa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\noRyXQqFQKBoV/w84DfyjwPNpggAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1a16a70ef0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"\n",
"\n",
"def gini(p):\n",
" return p * (1 - p) + (1 - p) * (1 - (1 - p))\n",
"\n",
"\n",
"def entropy(p):\n",
" return - p * np.log2(p) - (1 - p) * np.log2((1 - p))\n",
"\n",
"\n",
"def error(p):\n",
" return 1 - np.max([p, 1 - p])\n",
"\n",
"x = np.arange(0.0, 1.0, 0.01)\n",
"\n",
"ent = [entropy(p) if p != 0 else None for p in x]\n",
"sc_ent = [e * 0.5 if e else None for e in ent]\n",
"err = [error(i) for i in x]\n",
"\n",
"fig = plt.figure()\n",
"ax = plt.subplot(111)\n",
"for i, lab, ls, c, in zip([ent, sc_ent, gini(x), err], \n",
" ['Entropy', 'Entropy (scaled)', \n",
" 'Gini Impurity', 'Misclassification Error'],\n",
" ['-', '-', '--', '-.'],\n",
" ['black', 'lightgray', 'red', 'green', 'cyan']):\n",
" line = ax.plot(x, i, label=lab, linestyle=ls, lw=2, color=c)\n",
"\n",
"ax.legend(loc='upper center', bbox_to_anchor=(0.5, 1.15),\n",
" ncol=3, fancybox=True, shadow=False)\n",
"\n",
"ax.axhline(y=0.5, linewidth=1, color='k', linestyle='--')\n",
"ax.axhline(y=1.0, linewidth=1, color='k', linestyle='--')\n",
"plt.ylim([0, 1.1])\n",
"plt.xlabel('p(i=1)')\n",
"plt.ylabel('Impurity Index')\n",
"plt.tight_layout()\n",
"#plt.savefig('./figures/impurity.png', dpi=300, bbox_inches='tight')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"<br>\n",
"<br>"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Building a decision tree"
]
},
{
"cell_type": "code",
"execution_count": 69,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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TnuCXH3/JV+m2dvVaAvwDGDtu7E3N6+TsREJ8QvZ23359WfjTQhISTPvCw8KznzU5Ojoy\n+qHRPDf1OQ7uP1jg8VkSEhKIjY2l/8D+zP58NoEHAwHo7debeV/Pyx536OChIucRorSt+GUFY54e\nQ/ch3Xnxtxd55N1HeGf9O0xaMIkej/Zg1+pd2d0e6navi3VV61ydHPye9eP88fNFdoQYPm44C1Ys\n4K/Nf7FgxQIyVEaxnSTM6TZxox0pykJFjKk0SILKoUHDBnz/8/fcf+/9jBwykpkvz2RA3wFMeWoK\ni5cvpkaNGjc1r6urK126daFDqw68Ov1V+vbry/2j76eXby86tu7I2PvHkhCfwJHAI/To0oMu7bow\n+4PZvDzzZQAee+Ixhg8azoA+A3LNGx8fz6iho+jUphP39LqHDz/9EIBP5nzCgb0H6NSmE+3vbM+C\n70xVTAMHD2Tl8pV0adeFbVu3leAnJcSNuXLxCnUa1uFS5CVa9WpF6z6t8W7iTUpyCk18mxAfff0W\ntGMNR1KTU7O3U5JT8Gnlw9XI611izOnkYE4nCUuNKWsVMabSILf48ujXvx8nzp9g5bKVhIaGMnHS\nRAYNHZSvcOJG/fTbT7m2Jz87mcnPTs61r0HDBvjd45fv2KeeeYqnnnkq335PT0+27NySb7+bmxsL\n/1iYb3/jJo3ZfXD3jQUuhAU0uKMBB3cczO7ukFVmbu9gz9ZVW3H1ds0emxSdhJ2DXfa2vYM9wYeD\nqe5xvUtMQZ0c4q7Gseb/1nAx5CK1G9SmWvVquc5V0HF547nZMWWtIsZUGuQKqgCOjo48OPZBpr08\njeGjhpc4OQlxuxv52EhW/baK+vXr5+rucPnkZfYu20v3kd2zuzRc+O8C6XHp2WOsrlnh/6U/9ZrV\nK7STw4blGxjYfCD7/9uPg5MDW9dtZfn3y1n+4fIiO0n07t+72G4T5owpaxUxptJQbi/qlpaSvKh7\nu5MXdUVp2rhyI68/+TqtO7cmLSON8PPhXAy5yL3j7sW5pnOuajQwv4rvwpkLjOs5jmkfTePcuXPZ\nYzxreTJn1hyGjB9CfEL8TVcIQtlXzFXWykJzmfui7m2ToBo1bXRTXSBuF1przpw8IwlKlKqrUVdZ\n/ftqws6H4enjyeAxg3F1dy3+wCJ8PP1j4q7GYV/LPldV245FO7h44iKtOrXi8emPAwVXv+1YtKNC\ntS6qDDGWVIXvJFGm7CAmOoZqNapJkiqA1pqY6BiwK36sECVR3a06Dz9r2aXTTwWeoppHNXqN7pX9\nTCarqm3Z28s4FXgqe2zO6rec4zYu3VhhfvlXhhjLym2RoJSHIioyiqjLUeUdSsVlZ/o5CVFZJCcl\ncyrwFFZWVoRfCC+wqi0yNJJ2ndpl7yus+i0gMqBMYjZHZYixrNweCcpaoWrLL18hbgVGo5H5H8zn\n929+x6uuF1cuXuFyxGXWfLuGwc8Mzh537tA5Qk+H8sacN7L3VYbqt8oQY1m5LZ5BCSEqt5wFAcHH\ng0mKS2Ly65MJPBRIZHgku/13ExUWRfuh7Wk1sBXBB4PZuWgnrTq2olmnZrkKIo6dOpbr+c76eeux\nTrdGG3S5FBvkLXYoKEZ5BiWEEBVQzqIBpxpOTGk1hQ5+HVjvv55+k/rh18CP9rva882T33Dg7wMc\n2XiEKi5VqFWvFi51XWg5omWuX/TNmzQncGkgAZEBWBmsSEtKo9/UfuXSMqiwgoicMbp7uN9SyelG\nSIISQlRoOYsG9q7ZS9POTalSqwp1u9TNvg2m7TQTvp/AJwM/Yf7J+dg72fPDyz9Qr0u9fMUGgUsD\neW7WcwDMeWcOPUf0LLeChMIKInLGeDuTmmIhRIWWs2hAKUVGRgapyak41nDMHpOSnIJ3c2+01iiD\n6Xlz3jFQ8doYlff5KzpJUEKIEktKSOK7979jcIvB+Hr4Mr7PePyX+Vtk7qyiAYDm3Ztz7sA5jOlG\nkqKTssfYO9jjP9cf19qu2Dma3pewc7DLNQYKb2NU1JjSVN7nr+jK7RafUqoOsBDwwLTk+3yt9Zw8\nYxQwBxgIJAHjtdb7yzpWIUThkhKTeGLgEzg6OdL27rakpKWQnpzOpzM+ZceGHbh4uNx0lwgwtfVZ\nuej6c5peD/Vi86+byUjKoOmdTXGv686pTadY+9laRr40EmOGkchzkaTHpXPhvwuE3xmer9igsLkL\nGlMSxXV7KOz8zZs0L3Ydq9tBeT6DSgde1FrvV0o5A/uUUv5a62M5xgwAGmd+dQa+zfxTCFFB/PW/\nv7CxtaFu27p0G9Mt+xctn5mW2ZixZAZ+3f1ueq2nrD83Lt1oKhqo5c7I8SNZ9fsqZvWZRWpKKlWr\nV+WhZx7CCit+m/Yb7h7uPDrp0dzHFVBskG9uCxYkmLNmU0Hnb96keb4qvltxrSdzFFpmrpQaYcbx\nKVrrNRYJRKkVwFyttX+Ofd8Bm7XWizK3TwI9tdYRhc0jZeZClK0Huz1Iveb16PdCv1zv7mxatonV\ns1dz1/13ce8L92bvC9oZxGMfPQZA4L5A0o3pnNxwkgdfeRCA8NPhZhUJpKenExoUip2dHZ4+nqX0\n3d28Oe/MoeWIlrl+JuZ8bzd7XGViiTLz74EVQFFvuPYASpyglFL1gLbArjwfeQMhObZDM/flSlBK\nqYnARADPOhXv/6hC3MriY+JJTk7O97DfsYYj1rbWJMUl5dqXd62nBh0bsPPX64uEmts1wdramnqN\n65X8GyglN9sRQjpJXFdUglqrtX6sqIOVUr+WNACllBOwBHheax2X9+MCDsl3yae1ng/MB9MVVElj\nEkKYr0X7FsTExuTrfpAUnURMRAwN2jTIte9m1nqqjG62I4R0kriu0Co+rfVDxR1szpiiKKVsMCWn\n37TWSwsYEgrUybFdGwgvyTmFEJY19pmxnNh7gnVfrctenyjsVBhb5m8hJTEF78beJVrrqbK62TWb\nbpe1nsxRbKsjpZQVMAioR44rLq31ZyU6salC72cgWmv9fCFjBgHPYKri6wx8qbXuVNS88gxKiLK3\n+vfVvPvsu9T0romVtRWxUbHY2dsx6olR7Ni6g9jYWFxcXBg8cjBh58PYsHYDqWmp2Nna0ap1K1y9\nXYus9CvvKrabXXuprI+rLCy2HpRSag2QAgRiKgcHQGv9VkkCVEp1B7bmmfdVwCdz/nmZSWwu0B9T\nmfmjWuu9Rc0rCUqI8pEQl0DAigBirsTQuEVjqlStwupVq3NVo/028zfSrdLpP7U/Pq18CD4cjP+X\n/gwZNITh44YDFW89pIoWz63Akr34amutW1kgply01v9RdAEG2pQ9J1v63EIIy3Oq6sSwh4dlb895\nZ06+Nj6JyYn0fr439dvVB6B+u/r4PevH6tmrsxNURVsPqaLFczsxJ0GtVUr101qvL/VohBCVxoUz\nFzi2/xhOLk506dUFZVDs/XcvV69cpfGdjQusRktNScW9Ue6H/T6tfIiNjc3eNreKLTI0kkM7D2Fr\nZ0vnXp1xdMrd1shSbqSq7tiBY5w/dR53T3fadW+HwSDNekrCnAS1E1imlDIA1zBd9WitddVSjUwI\nUSHFxcQx64lZHNp1iPbd2xMVEcWMR2ZgZWVF7Qa18a7rzaczPsXa1ppOezrRtEvT7GPt7O24dOYS\nHrWv/8IPPhyMi4tL9nZxVWxpqWm899x7BKwIoGOPjiTGJ/L6k68z+fXJPDjpQYt/v+ZU1YWdD+Pl\nR14mKjKKlh1bEnQyiJSkFN774T1ad25t8ZhuF+YkqE+BrkCgvtUWjxJC3LBpY6ZhbdOI3kP6cSF0\nKdGJ0SQlJKG1gYRkI0GhQdRpUYeMxAw+e/gzZq2ehVcjLyLPRVLFoQqbv9lMYlQizrWcib8Yz/4l\n+xkx8npfgOLaD33wwgfEXInhmbeewf9vf2KTYvFp7sPct+ayffN2nF2diywsMKcAIecYZVSsn2da\n2qOgeFJTUnly0JPc98R9tOnShs3+m7GpakNKXAqTh01m8e7FFfJF4srAnAR1GjgiyUkIcXTfUYLP\nBOPbbzhHzy+h3/P92P37Jqp6V+fSuUgyrJN4YdXLBB8OZv2c9RjOGvjn03+wrWKLu4c7g0cM5p81\n/3BswzHSUtKwtbelin0VGjVrlH2OotoPXY64jP8yfya/MZn1Aevxm+6HTysfjv93nBXvrODw7sN8\nfeRrLgZdLLA9kDnthwoas/qz1Wyet5kMY0a+dkj+S/3xrudNO9922cf5NTC1bQoOCmbuW3N5b8F7\nZfK/z63GnAQVAWxWSq0Fsl8BL2mZuRCi8tm/bT93D7qbM+f+ot/z/ajZsCEnt/2Pht0aMOSNwfzy\nxC9YWVtRv119+j3Xj58n/kwdnzo8+/azgKlw4v5Z9+dr45O34KBlx5YFXv0c3n2YNl3bsGHtBvym\n+2UXWzhUc2D4u8P5cuiXpCalFlrIYE7BQ0FjBk8dXGirof3b9tNraK8Cj7tn0j38+eafJfqZ387M\neYIXBAQAtoBzji8hxG3GzsGO+Nh4YmNjadq5NgA29jbEX4qlZr2aWNlaZY/1aeVDUmIS9g722ftK\nuv6RnYMdCbEJxMbG4tPKJ3t/alIqnnd4oo0aa1vrQuc15/w3GmNWTAUdZ1/FHqPRWOBxonjFJiit\n9VsFfZVFcEKIiqXnoJ78u+ZfHO0dObkrFIAW/TpwNfQq6z5eR8OuDbPHnt5xmoToBPxG+GXvK+n6\nRx17dCToVBC2VrYEHw7O3m/naMe6T9ZRo04NbO1tC53XnPPfaIx+w/1YsXAFrm6uuY7TWvP313/T\ntE3TAo8TxSs2QSml/JVS1XJsV1dK/VO6YQkhykrgnkDmvDOHmZNnMuedOQTuCSx0rLuXO6OfGkPQ\n4Ysse2MJl86cocfYtkSHXOHgyoPU69CY9Gvp/Pfbf8wb9x31GnWkXhPTbTitoYrtUP7+cs9Nt/Gx\ns7fj+XeeJ+R4CItfXczZPWdJjElkxy872PL9FnqO6VnkvOa0EbrRVkNtu7XljjZ3sHfjXtbMWUP4\n6XAuBl3ks3GfEXEmgglTJ5j1vYn8zOkkcVBr3SbPvgNa67alGtlNkk4SQpjvZrokaK358MV1/L3o\nM+JjTbe9qtesDtqZmCshaKPG1t6W5m370+CO7+nSO5l+I2NZv8SFXZuq4OWzjcS0lSVq47Np1SZm\nvzSb8Aum1pzValajz9A+uNRyKXbeG63iMyfGa9eu8fPnP/Pr3F+JjY7FYDDQpE0Tnn/reTr3kiXs\n8rJkq6N9wHCtdXDmdl1gmda6nUUitTBJUEKYryRrDxmNmtSUFGxsbbC2tkZrMBozSEtNy3zupLKT\nUpbOvRLpNzIWVWQPGfOlJKdgZW2FjY2NZSYsIa01Kckp2NnbyUu6RTA3QZnzE5wJ/KeU+kUp9Quw\nBXilpAEKIcpfSYoWDAaFg6MD1tamogSlwMrKCgdHB5RSKAX9RsbmOsaSyQlMy3VUlOQEoJTpZyLJ\nyTKKLTPXWq9TSrUDumDqIvGC1jqq1CMTQpQ6dw93Is9G4tUkR5eEs/kLArQmV2LJu10QrWH9Epdc\n++Z/cJoLZ38i/HwYXj5ejJwwkna+7S2atMSto9AEpZTy0FpHAmQmpNVFjRFCVD4uVQezas5fDHmu\nIx4NPYg8G8mqOXtofeeo7DGb/3YmNdmQffWTlXjsHIz0HBRf4LxZY3ZtqpJ9W2/GI7/y/ezfadnh\nSZ5+3ZszR08xc8JMWrR/gCFjny10Lku71ZeyuJUUdQW1BijuOZM5Y4QQFZDW4OndjoPbqvD3J8ux\ndwwgJakOOukRPL2borXp9lxqsiH7OVLOYofOvRILvZJSCuwcjNnJ6cSh4+zd8iNDRm8iItSHq5ev\nMvqpDtjZ38/slwZzR6u7uXtgg1K/kjKnk4SoOIpKUK2VUnmXYM9JAUV9LoSowK4/I2rKrk1vA2BX\nBToPzl3IkPUcademKtmJypxih56D4rMT2PKfl/PAkw/w+MtG/JdezTVXryGPEB7yK0q9XmrfaxZZ\nOqNyKWrJdyutddUivpy11t5lGawQwrLMKWQoSbFD1piLYRepf0d9DIb8c90zypNLYRdvKv4bVdJO\nFqJsmdOLTwhRCURFRhGwMoCkhCRadWpFO992qGKyiNbw3P3z2OG/GDDQqMUE1v75GDZ2Kwk5G0wt\n71r0GtpxQm2QAAAgAElEQVSbVb9qzhxbQEZGMm61uvDPX3dwz6g4s2/J+TTy4ei+o/S91y9f4cSq\nX8/g09CnkCMty5ylM0TFIbWQQtwCFny8gGFthnFo5yGiIqN46+m3GNdzHFcuXSn0mIiQSNpUacvm\nVd+QkRGL0RjN0X3vM2N8I+bM+p2rUVdZ8+ca7vK8mw9f7IO19V5adzrD4V1P8vH0h1i+0JTgsuRt\nOZdze+RjI1n20zJ++fJS9vOrWXPDadDsCFvX/Y6nz3jKYr2EG+0SIcpXsS/qlurJlfoBGAxc0lrf\nWcDnPYEVmBrWAizVWr9d1Jzyoq643axbvI5PXp7HxFf+4L7H7VHK9BLt1AfmE3xuL0v3fV/gcR2q\ndSAtJR3namfYFJxASlIcg5oPIjY6FnDiUPJ2lv64hM9nLiQpIZaXP/2LBya6kZ5uZHTXr0hOCmb1\n0U8B+OpNd5ITrJg2OwKDwZScPpnuSUL8Xlxr/8WlyEvEXY5j14Z9NG3Zk6o1YwkLCiPsXBjd+01k\n2LipUsV3GzH3RV2zbvEppayAWjnHZ3WWKKGfgLnAwiLGbNVaD7bAuYS4JS2cs5DBo1/jxMEGrF9i\nKl7wX1qN6m6vc2BHe47uO0aL9s1zHXNo1yHSUtKo5vYHcdH1GNoyjbHPvElqSj+gBzCFn+ZEs+Kn\nX+jc8wt2//sfSxb8yX2PTyZgeXWatX+bDUtbE3QyiLqN65OcYMU2fyeY7sm02RF8Mt2TjSuPU7v1\nIu6e0g7PhqaKuXSVzsWQE9jq6rQZ2Iaxd43l1JZTuLpvB8omSRS2lIeoeIpNUEqpKcAbwEUg66Jd\nA61KenKt9RalVL2SziPE7ez4geP8FNCaTasSc1XHdemTiFF35PiB/Alq8f8WAxAQ1Jwhd6YRGWLL\nxy9FoNQ9ePo8RETwFFb/toTzp0Jp060bHXtoDu78iHenmJ7d+PZNJCmuHScOnaB+0/pMmx0B0z3Z\n5u/EtraNAfBo+Bej32iHd5PrFXPOXs60GtGKXsN7Zcfi6u0qVXSiQOY8g3oOaKq1bqG1bpn5VeLk\ndAO6KqUOKaXWKqVaFDRAKTVRKbVXKbX36uWrZRiaEKXjatRVzhw7Q3xs8be9nKs5czniUoGVdpcj\nLuNcLf/ybbXrm9ZyyshIYdWRU5l7XYBwfgrYbtqq2gRlsOFayhV6DT2OMtgQF3MKo/Ea/UbGcjH0\nIglxCVwMu4jBgClJ5eBVPwjPhrkr5lKTU3Gs4ZhrnyWr6GKuxHDm2BniYuQNmFuBObf4QoDYYkeV\njv1AXa11glJqILAcaJx3kNZ6PjAfTM+gyjZEISznYthFPpz6Ibv/3Y1bLTeiIqPoc29fXpo9DWeX\ngtcJHfjgQBbO+YV2vh/k2r9wzkUC9wTyye+fZO8zGsFggMenP843b3/DQ3eNIyHuIABKjUXr+xhw\nxw8A1LtjNJcvbefgzpms+b+1GJQ12/3Hkn4tid2baxEadJiYqzF89cZXNGzWEHev2eT8zzM8qD4R\nZyOzr6DAtLhfUnRSrjgtUUUXFRnFhy9+yI4NO6jpWZPLEZfpNaQX0z+eTtXqVUs0tyg/hV5BKaWm\nKqWmAucwLfn+Sta+zP2lTmsdp7VOyPz7GsBGKeVWFucWoqwlxCUwxvcJlGrBP6fWs+LQClYdWU1E\nsD1je0whPT29wOMen/4E/st28O27r1O30X6enhWIMvzA128/zID738TB0XTF8tWb7nwy3ROjEayt\nrRn44BBOBZ4g/II3Ti7f8uJHS4FIjBnngWE0aRXMkLGuhJxbQkZ6FVp2Xs2yA/+jek03QoMCcara\njxWHVuF/LgAb23Gs++tBanocZdmB0/j6JRB5dhSL3tpP2KnrFXPpcelc+O+CRavokhKSeKzfYzg4\nOnDvE/fSwrcFQx8bSlJCEpOGTOLatWs3PbcoX0VdQWX9cy0488s28wtMz6BKnVLKA7iotdZKqU6Y\nEmrhdbNCVGLLflqGp08Lqrm+zrb1pmKHPf/Wo3b9L4kI7seWNVvpPbRXvuPcarnywvuL2bDsBxbN\nG88PnybTslNLxj//Bc3bd0apeIxG8hUy1HD7AdTHoD8j7upkPpkO1jbWGI0j0MZQvpjZG0jDqepg\nEuMbcHjXGEZ0iCMxNgV7x99IjH+aZT/DiPE2ODqPo7pbNEb9EUrNyrzd14yE+NEcWfYXGyMDcPdw\n59FJjwKwcelGAjL3FbX2lDlW/rYSt1pu2Neyp/3o9tktjLb/vp2QcyFsWrmJfiP73fT8ovyYsx7U\nfVrrxcXtu6mTK7UI6Am4YSrCeAOwAdBaz1NKPQM8BaQDycBUrfX2ouaUMnNRWU0cOJExk8eSmjw0\n3xpKVy7N4+ThE7w1761Cjy+u43hW6fc2f6fsfb5+CTz3XgR2dtfHpaXBxhUu7AywYdnCugx9KIio\nSGfCL9gSe/UbrqUeZchDH7H/v/up5jqO2vWHANDozlN89/4g/g35N/t8ZbHqxNPDnsbOyY4hrw7J\nt67V4tcWU6NGDd5b8F7pByLMZsn1oApa+8ki60FprUdrrT211jZa69pa6wVa63la63mZn8/NLM5o\nrbXuUlxyEqIyMxqNWFkbCix2sLI2FHvfIm9Xh7zbBRUyTJudOzkB2NrCPaOux2BlMDB32YXMLQ0Y\nmP5xBLVqG7le2Au9hySijdeDLKslkbTWxMXGFdjCKD4+PldMonIp6hnUAKXUV4C3UurLHF8/Ybqi\nEUIUI+8NiqJuWPj282XNH2vztQL687sEvv/we7b+s5XBLQbz/vPvc+FMaL7ODXkfUQXuOcr0cS8z\n4I4BjOwwku8+mM87U6rkGvPxS55kZOQ+zmiEf/5ywWBli1utzoQErWTK8LoAODj2JSlhFW8+ZWT3\npgPU9OyefdycWZvw7dedsubbz5eo8Cgiz+Ve+SfibASXQy/je49vmcckLKOof+OEA/uAlMw/s75W\nAveUfmhCVG6b/3Zm/RKX7KSUtUbS5r8LrsYb/sgItvsfZOGcH2jne4VZc8PxrruD91/oy5VLmi/+\nmssXi7/Aqaozw1qPp3/TxOwkNed1d8b4NuSrN0zVcP5LNzCu17Mc3NGTb1bO47WvXmfx95dY+sNQ\nbO2jWHbgNN36JrD692qM7d4wO0kZjfD8fXX532w3OvVM5P0fHuXgjtfZ9e927B0yWH3UgIdPW1Ys\n7IWN3YN0v8eemV+GYu/4f/gv+46mraaUScuinIY9PIyEqwkseH4BF45cwJhhJOhQEN899R3WBmv8\nhvuVbUDCYorqZn5Ia/0T0Ehr/XOOr6Vaa3nZSIgiaH19HaWsJJW1jlJqsqHAX+LVXF149u3fSUne\nyMfTuzC2xxjmvj0cO7tG2NgE8t07A6jftBHHD36C4kMuhj3HRy95kp4O2/5x5uxxe7aucyYxIZVX\nH3sPO/uVJCVM5c/5XWjVqTV29j+D6kp8zEdoDa06J+FQxUhMtBX+S6/HGB5sg9Go0ECnnh1p3u4r\njBnPERLUgjHdHyAhdgdOVRuSGP8HC78YyICm/dm79UuemD6fek2alPnquM4uzvyy+RdUmuK1Pq8x\nqckkZvnNwtnRmYWbF2JrZ1v8JKJCKrRIQikVSBF3vcv4ZV2zSZGEqChyJqUs5qyjpDVEhkRw+shp\nZjw6A/+zm5g+tgkHd15/wbVlp3gObG+Oq7s/NraNALCzN5KcZCA5cTlxMfMZMf7/wAA7chRFVK95\ngqN7/Rgy9gQAHe9ORCnYvfl6jJ16JqKBPTn2te+RQOPme0lNSaVRi0bY2TuQEBfP+VNBOLs4U69J\nPUCV+9LtkSGRXAy7iFddL2p61izfYEShLNGLL6v/3eTMP3/J/HMskJR/uBAip6x1lHImKHPWUVIK\nPH08SUpMwq2WG1Wc7Phy6QV6eDXLHvP18lAevtuNK5euYIMpQf2+7Swj2zcmIyMaaxsfpn9iKogY\n3vb6y7Pf/a3pWC0arTVKKfrfZyqGyJmgsgokciaogffHoVSTXHFWreZMq04V69+pHnU88KjjUfxA\nUSkUmqC01hcAlFK+WuucTxlnKKW2AUV2FRfidpd1BZXT+iUuZi/25+njSfTlaELPR/DyQ6mkJC8A\njFhb92PiwGacPByMp8/15DPGtyFGI9ja3Uls9Kd89OJslFXuu/hjfXdjZ+/GwR0v41ytCct/HohD\nldwx/vNX7m2ABbPPExe7jLSUVNp2a0vvYb2xsbEx/4chxE0wpxC0ilIquzRHKdUNqFLEeCFuezlv\n72WtfdS5V2KuZ1JFHQvgWMWRgQ8OYmjLsRzZ/zLedV14epYVBquZ7Pm3KxkZQ/G9x5Yl+05jZ2/k\n7HF7HByNrD5aDZcaNVjy43es+tWFrn4JLN1/GqPxQ04dmYyDQ3NGTnBHG7fxzpRe/PjpUTr1NMXY\nqWciS36ozpIfqtOpZyKvzgnh3MmJ/O/jyYQGVcWrrjd/zPuDUR1GERkSWfg3IYQFmNOLbwLwg1Iq\n659VMcBjpReSEJWfUmDnYMz1zCnr/SY7B2OhV1Cb/3YmNdmQfUz6tXS0tkcRT49BwSTEWlHN9QrJ\nifZY26Ty8sem9ZdqN0glLsaK7v3jsbFR/Lb1fYbc+SKpyctxcu7ItDFnuHBmE9VcJzBywts89Mxl\nxjwN43oFcfzAw3TzW4lSztwzKpbjBxzQaO4ZFctPny8k7mo4Qx/aRte+GfQaHM/Dzz7MjEd+ZdKQ\nV1l+8Icy/KmK202xCUprvQ9orZSqiqmoorwaxwpRqfQcFJ+rm0NWkiosOeWs/APw7RfO37//Q6tO\n+0hLiyQyZBkNmyUzYvzXBJ26k4Dl7Yi+/DSu7q7cMzIeJxcjTVumojUE7m7K4LEBVKuxBthBaFAo\nfYdNoWr1WdzRKhGtwX+pC43v9EXRjb8X/c3opx5EKXj+vawrI80f3/7B/RO/J/S8I2kpidlXho5V\nXiT68m8cP3iCZm3uKPWfpbg9FZqglFIPaa1/zdsYVmX+16W1/qyUYxOi0iuuu0Pez7KusnZtqsL6\npRlY29Ri9FO2gA+7N7/K5cxGEHcPTOT8KR/CgkJxq+Wa67isBNetTyL9RrZDqXZsWfMvE17qSmhQ\nnjWjeiXSqHkLgk6eyxdjclIK0ZejeWyaD+uX5F9rKiG+JUEnz0mCEqWmqGdQWc+ZnAv5EkJYWK5b\ngfaupCRf4q4BEblaDwH0GhpFREgErrVc8x2XJefVmmstV4LPXihwTPCZC7i6u+aLxc7eDlt7Wy6G\nRhZ43IUz5ws8TghLKaqK77vMv36ktU4po3iEKFXFNVQtDzlj0BrWZVbR2TvUxM2jC289tYzeQ5/O\ndcx7U9ZQv0n97IUHi6sYvHfcvfz42Y9kpN+ba8yf38Wz5s81/Lnjz3xxGQwGhowZwvyPvqfT3R/n\n+mzOrH3EXY2jQ49iX2UR4qaZU8V3RCm1TSn1oVJqYI5iCSEqlRttPVTWMWkNn8+sxfcf1sTJJYNZ\nc8MZ99wsNiz/nXefnYVrrQAGjV5N2IUXWLt4Lj0Hf5h9XHEVg32H+2Fn35iPp9+Pnf0iRj62gWtp\nc/l85n30HPwCnj5eBcb31GtPs239Eb54bTLVXNcwbNw6oi+9wa9zpzHs4TkYDFZl/BMTtxNziiQa\nKaV8gLswvbz7jVIqRmvdptSjE8JC8hYg9BsZm+uXenlcSeWNyW9ELOdP2hMbbcW1VFM7JFf3Ovg0\n2oox439s93+Xbes13fx86TtsFTW9aqKUaUn44ioGrawMPPLCZ+z9dx1Bp37nraevUL9pfR598Uvu\naN0+e568XGpUZer7i9m6bjF7t37ONv8U2nVrxwvvLcO7Xp1CjxPCEsxZD6o2puR0N9AaiAb+01p/\nUOSB5URaHYnC3GzrobKMSQP29pqU5Ottgzr1NMWYc/mKghKqObcvb/YWZ0W8NSoqL0uuBxUMPA+s\n1Vp31VoPqqjJSYiiFFdIUJzi/jFniZgU8NLHEbliumeUKTlprbNjKChmcyoGb6Sq0BLHCVES5iSo\ntsBCYIxSaodSaqFSakIpxyWExRVWSFBc3tnz7x6eHDyJ9lXb06lGJ14Z/wpnjwflG5d3faa821kx\n5B2TMyaNadXbnON+/CyUqaNfpFP1TnRw6cCUkVM4vDvwhtaaEqIyKjZBaa0PAT8DPwIbMd3qm2WJ\nkyulflBKXVJKHSnkc5W5SOIZpdRhpVQ7S5xX3H5utvVQwIoAnhnxCooxbI3Yxj+n/qFRi8aM7vY4\nb02+kj3uqzfd+WS6Z3ZSylpe/as33bPH5C3SyBqz7OdqdO6VyGtfhePgoNnm74SDo+a1r8LxqLOV\nuW8+TExUT/zPBbAlbAs9BtzN4/c8y/SHT1Wogg8hLK3YBKWU2gvsAIYDJ4AeWut6Fjr/T0D/Ij4f\nADTO/JoIfGuh84rbTGGthzr3Siy09VB6ejofTv2QHv1/JCJkAl+/2QCXGtW5cnEmVZxfYWfABxiN\npkSTnGDFNn+n7CT1yXRPtvk7kZxghdFY8PpQ/ktdOHfSjgZN0/AbYbqN17FnAr5+CXTsmYDBAFvW\nvknnnu9haz+FXRvr4OhUBWeXCfg0+oYta2exbnFVs9aaEqIyMqdIoqbW+nKpBaBUPWC11vrOAj77\nDtistV6UuX0S6Km1jihsPimSEEW5kYf9+/7bx0fTPuKP7f+XnXCydO55iRW/3kFAUABOVZ1yJaUs\nvn4JTJsdkV3cUFiRRlZyymI0gsFgWtvogW4P4H82gE0rXXMd1/HuBD6c2p0OPf7Apfod2XOVZ8GH\nEOayWJFEaSYnM3gDITm2QzP35aKUmqiU2quU2nv1siz2Kwp3Iw/7kxKTqO5aHYMBps3O/W+ilz+L\nwc7ejtTkVIACx+RMTlnnKqhIw5Dnv8Ks7aTEJKq6VMXW1jrfcf3vi8PTpyrp1xJzzSXJSdxKzCmS\nKE8F/eeW75JPaz1fa91Ba92hes3qZRCWuB00b9OcI/uOEBMdxyfTPXN99sojEThVdSLr/29ZV1A5\n5XwmBTdepFG7fm3i4+IJOhmU77g/5ycRdDKMqtWuLyJoTsGHEJVJRU9QoUCdHNu1gfByikXcZlxr\nueI3vB8P3fUhW/+xwtcvgWUHTtOu21k2rnoZr7rPAYZct/eyxvj6JeR6JnUzRRq2draMnTyW5+57\nh63r0rKPa9X5InPffIVqro/i289wQ2tNCVGZFNXNfERRB2qtl1o+nHxWAs8opf4AOgOxRT1/EsLS\nXvl8BqN9PyTkbGNiorsybWwKOzfuommrSbTq/BAGg+kOuINTRq5nTtNmR8B0TxycMrJv2d3M+lAT\nXprAkb1J+C9tT2pKNzatMrDNfxsedYbRtfd07hkVZfZcQlQ2hRZJKKV+LOI4rbUu8aKFSqlFQE/A\nDbgIvAHYZJ5gnjKt7TEXU6VfEvCo1npvUXNKkYQoDRfOhLBv6x5sbG3ofk93XGpUz/fsKKu4obBt\nuPmODJfCL7MjYDvaqOnSuwu1ansA0t1BVE7mFkkUW8VX2UiCEkKIis3cBGXOku8opQYBLQD7rH1a\n67dvPjwhhBCiaOa8qDsPeACYgqmq7j6gbinHJYQQ4jZnThVfN631OOCq1votoCu5K+uEEEIIizMn\nQSVn/pmklPICrgH1Sy8kIYQQwrxnUKuVUtWAj4H9mF6U/V+pRiWEEOK2Z06Cmq21TgWWKKVWYyqU\nSCndsIQQQtzuzLnFtyPrL1rrVK11bM59QgghRGkoqpOEB6bGrA5KqbZc74tXFXAsg9huSkI8bN1S\n3lEIIYQoqaJu8d0DjMfU/+6zHPvjgFdLMaYSqZmawNNBcoEnhBAV1WQzxxWaoLTWPwM/K6VGaq2X\nWCYsIYQQwjzmPIPappRaoJRaC6CUaq6UmlDKcQkhhLjNmVPF92Pm18zM7VPAn8CC0gpKlI7zUVF8\ntWkTm0+dws7amhFt2/LEXXfh4uBQ3qEJIUQ+5lxBuWmt/w8wAmit04GMUo1KWNzOc+do/sYbBBw4\ngI/BQI2MDL7196fe9Ok8+f335R2eEELkY84VVKJSypXMlWyVUl2A2KIPERWJ1prxP/1Edw8P1tfP\n0QTEx4cXzp5l3Zkz5RecEEIUwpwrqKmYFg5sqJTaBizE1DhWVBK7goIwGAzUc3bO99mMOnU4GxdH\nWnp6OUQmhBCFK/YKSmu9Xyl1N9AU07tQJ7XW10o9MmExkXFxNKpZE1VAEqpla4sBiE9JwdXJqeyD\nE0KIQhSboJRS9sDTQHdMt/m2KqXmaa2l3VEl0czDgz3nzzPI2zvfZ0cTEzEYDFRzrLDvXgshblPm\n3OJbiGmxwq8wLb/eHPjFEidXSvVXSp1USp1RSs0o4PPxSqnLSqmDmV+PW+K8t5umHh7c6e3NgcuX\nybmCcorRyItBQTSvXh2rvGuTCyFEOTOnSKKp1rp1ju1NSqlDJT2xUsoK+BrwA0KBPUqplVrrY3mG\n/qm1fqak57vdLXz0UVq9+Sae+/ZRz9mZa0Yjx6KjcVKKelWq8OScOdljHV1c+Hz8+PILVgghMC9B\nHVBKddFa7wRQSnUGtlng3J2AM1rrc5nz/gEMA/ImKGEBni4uRHzyCasOH85+D8rn1CmW1q6NUirX\n2CevXCmnKIUQ4jpzElRnYJxSKjhz2wc4rpQKBLTWutVNntsbCMmxHZp5rrxGKqV6YHpB+AWtdUgB\nY4QZrK2sGN62LcPbtgXgyTlz8iUnIYSoKMxJUP1L6dwF/WbUebZXAYu01qlKqUnAz0DvfBMpNRGY\nCOBTo4al46yQjEYjh8PCSEtPp6W3Nw62tmYdl5yWRmBYGHbW1rmeRxUnKiGB0xcvUtPZmUbu7jcb\nthBCmM2cMvMLpXTuUKBOju3aQHiec+e81/Q98FFBE2mt5wPzATrUrWv+b91Kaun+/by0ZAnWVlZU\nsbUl5OpVXujThxn9+2MopNjBaDTywbp1fL5hAz41apCQmsrFq1cZAAx3cyv0XPEpKTz7xx8sP3SI\nJu7uBEdH06BmTeaNHUvLAqoChRDCUsy5giote4DGSqn6QBjwIDAm5wCllKfWOiJzcyhwvGxDrHjW\nHjnCuB9+oLeXFx6OjiilaGpnxxf//MPKffvYOWsWAE2ffRaHa9dfV4s0GonB9K+AjnXrop2c2HTl\nCmOOH6ezlRVv53iJ90TmlZXWmnu/+YbI6GiG1amDnZUVrRwcOBUTQ+f33mN069YsePLJsvz2hRC3\nkXJLUFrrdKXUM8A/gBXwg9b6qFLqbWCv1nol8KxSaiiQDkRjWp/qtvbmqlX4eniw0scn1/6wGjVo\nsHcvscnJuDg44HDtGgft7ACI0Zr6KSmMUop7tWaUqysAy86e5ahSzE5P57ccc2W94PbvqVNExMXh\n6+bG9zmvstzcmGYw4H+htC6uhRDCvPegSo3Weo3WuonWuqHW+r3Mfa9nJie01q9orVtorVtrrXtp\nrU+UZ7zlLSYpiWMREfgU0PHB284ON3t7thXQV2+b0UgHg4EqeQoiXB0dmeHqSjIwu1kzvmvZku9a\ntqRN5q27f44d44H27TEUUEgxumZNQhISLPONCSFEAeTtzEpEKZWviiQnDQUmE0VmK/pCjskak5dB\nKTIKKaTIKOQYIYSwlPJ8BiVukIuDA+3q1OH41atMiYlh2ZUrpBqN9KpWjcb29kQmJTFmwQJcnZyI\n15o4ramqFD0MBh4yGqmVJ3mla83EWFNj+np79tDA3p5Jnp5oa9P/LQa3bMnDP/5IrwKKKBZevIhP\nAc1nhRDCUiRBVTJP9ujBQz/8QAbwisGAo1J8FhXFYsAR8EpOJi05mWStqZuSQk/gBYOB+5XiD61p\nkzlPutHI/bGxXAV8DAZ6ODoSlZHBzHPnMBoMfKc1XRo0oLmnJwFBQYQ5O+NtZ0dyRgbfRESw/MoV\netWtW04/BSHE7UASVCWz8tAhqgKnleIloxErIAFwBZKAQ3Z2WCnFouRk5mEqlfzMaEQDVTAti/zu\nzp2kZmRwDXhNKdpaW+NqMIDBQIq1NcPi49ly+jR3N2nC/02cSNd336Xh3r3YW1uTnJ5OLUdHuvv4\n4FZEeboQQpSUJKhKJCktjb+PHOFOR0d2ODtzPiODBUlJhBiNJKSkcAjYbjRyl5UV3gYDHwH9jEaW\n33VX9hxPREXx4oMP8tJffxF7+TJvN26c7zxtTp3i9927ubtJE+xtbDjw1lskpKQQHB2Nq5MTtapW\nLbtvWghx25IEVYkkpaVha2WFtVIopahvbY2dwUBtpTiB6SoqJsd4LyDvwl0GpbjDw4NrGRlUsbEp\n8DyO1tbEJCXl2udkb09zLy8LfjdCCFE0SVDl7FBICAt37uRyQgJ3ennxaLdu1Cyk+KCGoyNVHRyI\nS0hgXWoqy1JSOJuRwbmMDHyAfcAzaWm8rhQDtOYIkAo4b9tGPXt7fmrSJHuu9nXrsnLXrgLPE5qQ\nQL8c71ldiovjpx07CAwLw93ZmUe6dqVV7dqW+yEIIUQBpMy8HL22fDkDvvoKJzs7+txxByciI2n+\n5ptsPFHw614Gg4EpvXpxLDWVafHxNLO25j47O8IyMvgX09vOflZWuGjNB5gaGdoCbZ2cCEpJocPB\ng+yKjARMxRZnYmP5NyYm1znWREcTnJDAY76+AAQcP07zN9/k5MWL9G3WDCc7O/p/+SWvr1xZaj8X\nIYQAUDfSMLQy6FC3rt47c2Z5h1Gs1YcPM27BAob4+GBvff1CNjwxkYCwMC5++inO9vYA+L72Girz\nltv51FQi09PRQNaToKwUo4DqQCym95TI3PbM/HsoEAc0wpS4rgBRgB1QzdqaBKORFK1p6uLC4Y8+\nIi45mYavvUZPHx9ytuBNSU9nxfnz9GzQgOUvvGDJH4sQ4jagnnxyn9a6Q3Hj5BZfOfn2339pXaMG\nP9eqlfsDV1fqR0fzx549PJFZ3KCSkvjP2ZlrWuOVlERLYAXwI+APHAG+AR4DHgU+A1wwtXefBxzN\nnIbT73IAAA1qSURBVDoVsAcaAuuU4prWZACNgSm1a9PQwYEhNWow5epVABbt2cPdTZpQIyWF7zLb\nI2X5GXg9NNSyPxQhhMhBbvGVk9OXLuHu4FDgZ+4ODpy+dCnf/hitMWJKMj7AI5iuhO4EbAB3oAem\n7hDuwH1AYp45rIHTObbtMSWz6XXqMNLNDdsc3dBPX7pEp3r1Coyxo5MTsWlpxX2bQghx0yRBlZPa\n1atzNTW1wM+upqZSu3r1fPtdlCIDyJkWfIAgTK2MYjCtAmnA1Fn3H0yJ6/8wrfYIplt/5tbi1a5W\njWMREQV+diwpCadCqgCFEMISJEGVkwm+vhyMiiI5IyPX/v9v7/6DrCrvO46/Pyw/lgUCIlQpqGA1\n1JofqIjTkNokasaYjKQTp4K21U4dbdK0OE6aWDJNYpPM4B9tShqTSMBCExM1WBuacUws/kiTTCir\n5YeoKJIfLGDQqAgWgux++8d5Nlxhlz277O5z7t3Pa2bnnnPuued8dwfu557nPPd5nnjtNX6+dy9X\nzZlz1GtGSlzV3Ewbh8fQ+5zELorJskYA5wLnUNxf+nuK0SW+TXFldXZ63fKSNV59wQV8Z8MGXjpw\n4A3b/6+9ncVtbcycMKHkkczMes/3oDJZcP753HLvvVywfj03Tp3KjOZmHt2zhyXbtzN95Eg+ufxw\njOzbv5/n29s5ecIEPj9uHCv37+f9FBNknS7x9gjWABOBf6Ro3ut0BkUnCIDnKD6RHP3V3K5NHjeO\n2xYs4LoVK7jl0CEuHD+ebQcOsGTHDs4dO5aR/sKumQ0gB1Qmw4YN47KzzuLpHTv43PPPc6C9nRNG\njWJGczN/OG4cX6jplDB3xAguPXiQsXv3AjABWA/8AKCjgxbgZIqrpk9QXCUNp7i/1Eox3NFw4DSK\nmSFnAGNqem++Atzwq8OTF7eMH/+b5avmzOGB1lbu+cUvuP3FF2luauLNJ57IyLFjGeMrKDMbQO5m\nXjE3LFlyVI85KALk9oULS71u6tq1jDl4kGdST70RTU2/2W9Sezs3zZvHossu6//izcxKKNvN3Peg\nGtDoYcO6nf+pAxg9cuRglmNm1icOqAb0oUmTeKmL7S9H8CrwR7NmdfGsmVm1ZA0oSZdK2iJpq6Sb\nu3h+lKS70/NrJU0f/Crrz01Tp7IPWBTBC0BE8OMI3tvRwQRguqfJMLM6kK2ThKQm4DbgEopReNZJ\nWh0RT9bs9hfAyxFxhqT5wK3AlYNf7eBpGT/+DR0Warf35nUnAl8BFgN0dDAibWvpYkp4M7MqytmL\nbw6wNSK2AUi6C5gH1AbUPOAzaXkV8CVJikbr2VHjC9de2y+vuz09Hmpv58DrrzNm1CjkcDKzOpKz\niW8qsL1mvS1t63KfiDhEMQ7qUV3cJF0vqVVS6wv79g1QufVpeFMTY5ubHU5mVndyBlRX75hHXhmV\n2YeIWBoRsyNi9uSxY/ulODMzyytnQLUBp9SsTwN2drePpOEU45p21UHNzMwaTM6AWgecKWmGpJHA\nfODIWfBWUwzaDXAF8FAj338yM7PDsnWSiIhDkj5KMeh2E3BHRGyW9A9Aa0SsphjX9OuStlJcOc3P\nVa+ZmQ2urGPxRcT9wP1HbPtUzfIBimmNzMxsiPFIEmZmVkkOKDMzqyQHlJmZVZIDyszMKskBZWZm\nleSAMjOzSnJAmZlZJTmgzMyskhxQZmZWSQ4oMzOrJAeUmZlVkgPKzMwqyQFlZmaV5IAyM7NKckCZ\nmVklOaDMzKySHFBmZlZJWQJK0kRJD0p6Nj2e0M1+7ZLWp5/Vg12nmZnlk+sK6mZgTUScCaxJ613Z\nHxGz0s/lg1eemZnlliug5gEr0/JK4IOZ6jAzs4rKFVAnRcQugPT4W93s1yypVdJPJDnEzMyGkOED\ndWBJ/wWc3MVTn+zFYU6NiJ2STgcekrQpIp7r4lzXA9cDnDpxYp/qNTOzahmwgIqIi7t7TtIvJU2J\niF2SpgC7uznGzvS4TdIjwDnAUQEVEUuBpQCzTzst+qF8MzPLLFcT32rgmrR8DfCdI3eQdIKkUWl5\nEjAXeHLQKjQzs6xyBdRi4BJJzwKXpHUkzZa0LO1zFtAqaQPwMLA4IhxQZmZDxIA18R1LRPwKuKiL\n7a3AdWn5x8BbB7k0MzOrCI8kYWZmleSAMjOzSnJAmZlZJTmgzMyskhxQZmZWSQ4oMzOrJAeUmZlV\nkgPKzMwqyQFlZmaV5IAyM7NKckCZmVklOaDMzKySHFBmZlZJDigzM6skB5SZmVWSA8rMzCpJEZG7\nhn4laS+wJXcdfTAJeDF3EX3gugeX6x5crntgnBYRk3vaKcuMugNsS0TMzl1Eb0lqdd2Dx3UPLtc9\nuOq17iO5ic/MzCrJAWVmZpXUiAG1NHcBfeS6B5frHlyue3DVa91v0HCdJMzMrDE04hWUmZk1AAeU\nmZlVUkMFlKRLJW2RtFXSzbnrKUPSHZJ2S3oidy29IekUSQ9LekrSZkkLc9dUhqRmSf8jaUOq+5bc\nNZUlqUnS/0r6bu5aekPSzyRtkrReUmvuesqQNEHSKklPp3/jv5+7pp5Impn+xp0/r0q6MXddx6Nh\n7kFJagKeAS4B2oB1wIKIeDJrYT2QdCGwD/i3iHhL7nrKkjQFmBIRj0saBzwGfLAO/t4CxkTEPkkj\ngB8CCyPiJ5lL65Gkm4DZwJsi4gO56ylL0s+A2RFR5S+OvoGklcB/R8QySSOBloh4JXddZaX3wx3A\nBRHx89z19FUjXUHNAbZGxLaIOAjcBczLXFOPIuIHwEu56+itiNgVEY+n5b3AU8DUvFX1LAr70uqI\n9FP5T2mSpgHvB5blrqXRSXoTcCGwHCAiDtZTOCUXAc/VczhBYwXUVGB7zXobdfCG2QgkTQfOAdbm\nraSc1FS2HtgNPBgR9VD3PwMfBzpyF9IHAXxf0mOSrs9dTAmnAy8A/5qaVJdJGpO7qF6aD3wrdxHH\nq5ECSl1sq/wn43onaSxwL3BjRLyau54yIqI9ImYB04A5kirdtCrpA8DuiHgsdy19NDcizgXeB/xV\natausuHAucBXIuIc4DWgLu5pA6QmycuBb+eu5Xg1UkC1AafUrE8DdmaqZUhI93DuBe6MiH/PXU9v\npWabR4BLM5fSk7nA5elezl3AeyR9I29J5UXEzvS4G7iPojm+ytqAtpor61UUgVUv3gc8HhG/zF3I\n8WqkgFoHnClpRvoEMR9YnbmmhpU6GywHnoqIf8pdT1mSJkuakJZHAxcDT+et6tgi4u8iYlpETKf4\nd/1QRPxJ5rJKkTQmdaIhNZO9F6h0j9WIeB7YLmlm2nQRUOnOP0dYQAM070EDjWYeEYckfRT4HtAE\n3BERmzOX1SNJ3wLeBUyS1AZ8OiKW562qlLnAnwKb0v0cgEURcX/GmsqYAqxMvZyGAfdERF11264z\nJwH3FZ9nGA58MyIeyFtSKX8N3Jk+7G4D/jxzPaVIaqHoyXxD7lr6Q8N0Mzczs8bSSE18ZmbWQBxQ\nZmZWSQ4oMzOrJAeUmZlVkgPKzMwqyQFlVpKkayX9don9Vki6ouz2fqhrUc3y9DIj46dafirpL/vh\n/FemGQTcXd/6lQPKrLxrgR4DKoNFPe/Spb+NiK8e78kj4m7guuM9jtmRHFA2JKUrjaclrZS0Mc39\n05KeO0/So2lw0+9JmpKufGZTfHlzvaTRkj4laZ2kJyQtTaNrlD3/UedI2x+RdGuas+oZSX+QtrdI\nuifVerektZJmS1oMjE413ZkO3yTpayrmu/p+GjGjp3pOknSfinmyNkh6R83faFn6He+UdLGkH0l6\nVlLVhyyyOueAsqFsJrA0It4GvAp8JI0v+C/AFRFxHnAH8PmIWAW0AldHxKyI2A98KSLOT/N4jQZK\nzdHU3TlqdhkeEXOAG4FPp20fAV5OtX4WOA8gIm4G9qeark77ngncFhFnA68AHypR1heBRyPi7RTj\nznWOwnIGsAR4G/C7wFXAO4GP0fcrN7NSGmaoI7M+2B4RP0rL3wD+BngAeAvwYLogagJ2dfP6d0v6\nONACTKR4U//PEued2cM5OgfefQyYnpbfSREURMQTkjYe4/g/jYjO4adqj3Es7wH+LB2/Hdgj6YR0\nrE0AkjYDayIiJG0qeVyzPnNA2VB25DhfQTFty+aIOOYU35KagS9TzBS7XdJngOaS5+3pHL9Oj+0c\n/j9auvmw5vWdx+ixia/ksTpq1jvw+4cNMDfx2VB2qqTOkFhAMf37FmBy53ZJIySdnfbZC4xLy51h\n9GKaE6s3vfOOdY7u/BD447T/7wFvrXnu9dRseDzWAB9Ox29SMausWVYOKBvKngKuSc1lEykmqDtI\nETa3StoArAfekfZfAXw1jd7+a+BrwCbgPyimeymlh3N058sUobYR+ASwEdiTnlsKbKzpJNEXCyma\nLDdRNAv2FJhmA86jmduQpGKa+u+mDg6Vl6YHGRERByT9DsUVz5tT2PXleCsofv9V/VTfu4CPRUSp\njiJmZbgN2aw+tAAPp6Y8AR/uazgle4DPSpp0vN+FknQlRW/Dep2S3irKV1BmZlZJvgdlZmaV5IAy\nM7NKckCZmVklOaDMzKySHFBmZlZJ/w/GiCoJ4j6lowAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1a16c33358>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from sklearn.tree import DecisionTreeClassifier\n",
"\n",
"tree = DecisionTreeClassifier(criterion='entropy', max_depth=1\n",
" , random_state=0)\n",
"tree.fit(X_train, y_train)\n",
"\n",
"X_combined = np.vstack((X_train, X_test))\n",
"y_combined = np.hstack((y_train, y_test))\n",
"plot_decision_regions(X_combined, y_combined, \n",
" classifier=tree, test_idx=range(105, 150))\n",
"\n",
"plt.xlabel('petal length [cm]')\n",
"plt.ylabel('petal width [cm]')\n",
"plt.legend(loc='upper left')\n",
"plt.tight_layout()\n",
"# plt.savefig('./figures/decision_tree_decision.png', dpi=300)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"<br>\n",
"<br>"
]
},
{
"cell_type": "code",
"execution_count": 70,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"from sklearn.tree import export_graphviz\n",
"\n",
"export_graphviz(tree, \n",
" out_file='tree.dot', \n",
" feature_names=['petal length', 'petal width'])"
]
},
{
"cell_type": "code",
"execution_count": 71,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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IDKA4czd4xx8iIiKqKvhTKBERERERlQn+JEpERVKr1fjjjz9w8OBB9OvXD4MH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\nChw6dAh79uyBhYVZjktbNM5F83LBmDra+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"text/plain": [
"<IPython.core.display.Image object>"
]
},
"execution_count": 71,
"metadata": {
"image/png": {
"width": 600
}
},
"output_type": "execute_result"
}
],
"source": [
"Image(filename='./images/03_18.png', width=600) "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We typically need to **prune** the tree to avoid overfitting"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"<br>\n",
"<br>"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Combining weak to strong learners via random forests"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Combine **weak learners** to build a **strong** learner (Ensemble models)\n",
"\n",
"Steps:\n",
"- Draw a random **bootstrap** sample of size n (choose n random samples out of total n samples with replacement)\n",
"- Make a **weak** decision tree from the bootstrap sample. At each node:\n",
" - Choose $d$ features at random without replacement (defalut: $d = \\sqrt{m}$)\n",
" - Split the node using the best feature amongst the $d$ features, e.g. to maximize the information gain\n",
"- Repleat above steps for $k$ times (building $k$ trees)\n",
"- Aggregate the prediction by each tree by **majority voting**"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Pros:\n",
" - Don't need to prune the random forest in general, since the ensemble model is quite robust to the noise from individual decision trees\n",
" - The larger the number of trees $k$, the better the performance of the random forest\n",
" \n",
"Cons:\n",
" - Large computational cost for large $k$\n",
" "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Hyperparameters:\n",
" - $k$: the number of trees\n",
" - $d$: the number of features that is randomly chosen for each split"
]
},
{
"cell_type": "code",
"execution_count": 72,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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YMjyEpT8txdPLs8B+Wmv++OoPAtsHmt1PlK7UBKWUWqeUqp3vfR2l1JqKDUsI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\nzMyslBxQZmZWSv8P8s4j1DFZ61YAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1a16919dd8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from sklearn.ensemble import RandomForestClassifier\n",
"\n",
"forest = RandomForestClassifier(criterion='entropy',\n",
" n_estimators=10, \n",
" max_features=2, #auto, sqrt, log2, None\n",
" max_depth=None,\n",
" random_state=1,\n",
" n_jobs=2)\n",
"forest.fit(X_train, y_train)\n",
"\n",
"plot_decision_regions(X_combined, y_combined, \n",
" classifier=forest, test_idx=range(105, 150))\n",
"\n",
"plt.xlabel('petal length [cm]')\n",
"plt.ylabel('petal width [cm]')\n",
"plt.legend(loc='upper left')\n",
"plt.tight_layout()\n",
"# plt.savefig('./figures/random_forest.png', dpi=300)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"<br>\n",
"<br>"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# K-nearest neighbors (kNN)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"A **lazy** learner:\n",
"- KNN doesn't learn a discriminative function the training data"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"KNN is an example of the **instance-based learning**\n",
"- learning is performed by memorizing the training dataset"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"KNN\n",
"- Choose the number $k$ of neighbors\n",
"- Choose the distance metric\n",
"- Find the $k$ nearest neighbors of the sample we want to classify\n",
"- Assign the class label by majority voting"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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G/bA+2abdvto8SgQQQACB5hMgcGw++9hu2Q4m3LDx796l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hcaMzhlLn7ijqaK57BDjZJ340FsBgEDX0wbCIsxJJg3MTg/BAGh0pl1TL1jppwyP1Z59mjYe6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Xvvve52YtxSjHzww6AHijh8U2WlvKoXmez1l7/I3roCKyOJFxM16GrGhWporDr6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\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p9cgptQUXIhWYL3ZhbKR+U99ptKJ+s17WyeMCmG5569ELVVJxeS0t0Zdb0GddgKBPGIsm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\nh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bl7E+gbAuzd7PW697SfSKpO5UoroMN/RJGXVMSW79O+WR6eiAmYgAmYgAl0HQE7HLvu\nknhAvU6AAwBOhaHPfjYNFx95Xki497LL0i1veEMqHmGrN290OOCQMV086XDPD/9wevyss9L5xdOK\nKxbwi9hjH/5w2v1TP1V3RqlzHVAU1D+Hm1rBgP+JPCKX/EAnPUWV81RKI2ej7HA9kWqrgA2k7OUR\nRyPl6ErGyKVTmUPnCHDNolRakX1Bsl+C5qK1HIPWHkHrS3P3OoOIpQm0T4C9W/eW7idJ7fXcW8rr\nXiQvfXR4ylF5RWzl92Seb3+UbmECJmACJmACJmACcwTscJxj4ZQJLIiA3twrSMbIIXxF8bTgQsI9\nl1+ebv3Zn6015RDAIQF7ysf+Vc4Yniw+ev3V970vXfgrv5LGi+95bCeM3nBDmvn2t9O+4her6UN2\nSUs6zBFoxoXDnaTWBFE8cTxySETm15Se4C4Z7ZJXGZGyKGVHeUVCTFNm2TkC3I+SXHsczZ3rZXkt\naW6aE2uLOXttLe91ce+9TUD3j+6leB9xj2mf1+sHQeUq495TOWXSU+S1QRI7tEc/5p02ARMwARMw\nARMwgcUSsMNxsQTd3gQCAd7s1x0LO3aksX/5l6BRLbn5vPPSra97Xf1QwOGAg4KsqIxAv0gcVzuP\nPTZ9853vTM/99V9PQ8XBpZ0w+ulPp6kzz6w5SdQXtulXedLt2O1XXRhpfnChLLLTNeT6IFUf08or\nIGuZ4o/sYZu1QFnMxzT1tEPKZkzTh+XiCOTXTHlFXV9ivzkcNa/ocNS6Yt7QpMxrDiKWJtA+Ad0/\n2t9joCy+hqiecunnUXUxRntOm4AJmIAJmIAJmECnCNjh2CmStjOQBHAucLhGcgAfLn71eWhioi02\n+kj0t970pjQcvgSewwIHCMkY6FcSpwZya+G8fOiFL0zHX3VVbNIyPXr11WnvW99aO6hwMJF9hbz/\nlsYGREFcIiOlYUUdZZK6rpJ5FC6VlYVoT+kqUXZol6fL+nDZ4glwTbFEnr3h/A3np/dd+L6ao44y\n6Sgdrz3tsCNJGZJ7/Y5td6QrN10ZVQ9IX3jEhemCwy+oOyDi+pFyvk7yvNasyiR5auqcDefM23dU\np6Dxxfa1Qv8xAROoTED3T9l9xD0oQ6TzvUPlRN2TRMokCTFNmaUJmIAJmIAJmIAJLJaAHY6LJej2\nJrCfQH7415v/8f/4j7b53F/88MuejRvnHeg52OcHBoyrb5wOkjxBhbzjNa9JT/vyl9Pw1BRNWsqx\n669P04WzdHr/R7GYnw4mHICQLY0NkAIHt0Zs4Kd6BcmyNHU1pf1/sK2s0uRJx3yus99EvQ15y6Un\nwDWW5D49ee3J6bhTjktTxT05Wfy4kyT3KzoaGW1JI6Mt7vnVQ6tbOhxPX3V6uvSoS+ftL1o32lua\nrR/qJfk+uLGxsVpaUmNgrEjsacwOJmACiyMQ7yfdh7rPFFSudCyjJ9Upcv+Sl6QtupYmYAImYAIm\nYAIm0GkCdjh2mqjtDQwB3uxzuI4Sh8Hwbbe1zeOBl72s9uQQ37uE1CFfhwaiDOvQQL/0KacFUfVK\nTxYOzE0XXJA2tuEAHSp+XTvde2/ad8YZ8w4r6o/DStuTG6AGXBuuU5x6rBNPhVyiT3nOnHwjqfbU\n5WlsWy49Aa6felKaGO/XsrTKYhvSSNmhHTL2VWtc8od2VCmPo4L1UialR7n2FKVjv0pLh4h9SxMw\ngcUR0L2m+4rAfag8967S+b2HnmSM0iWvtIMJmIAJmIAJmIAJLBUBOxyXiqztDhQBDgOSHMJ1KB+9\n++62OOg7F/eccELN4SgHY4w4HiXzwwJ9SqpfPS2liJ7KtnzP97TlcNTAh+64I02fdlptTvnBplZf\nHGQcGhMQfwXWB/nYQmWqpw7dqFOWRl91jdJ5XZkdly09gfyakpfMI/cy5RpdTMd8LI/pVjNCF6k+\nub/z9YgtdJC0ZTxR5mlsWJqACSyMQNl9SZnuRQVk3oP0FBVyGctqCv5jAiZgAiZgAiZgAh0kYIdj\nB2Ha1GAT0Jt9nAXI4cceawvKtuKXpeVQlKNRH1PkI4s4HnE6yjnAwYGDv/rE2ah6dNDbXjyp2G4Y\n2rw57Svsyjb9SGJT9vJ8u30Mgn7OS3OOZZFBo/Kok6fL2pSV5e2cPzgE8mtBXpK0RkI+ljUbIfrc\ng+22oz2SMSCxR30uGRt65C1NwAQ6T0D3me51BdLck+wBjXrlHkWil+cptzQBEzABEzABEzCBThCw\nw7ETFG1jYAnoTX5ZxPk3VPxKdTth74YN85yNOB1xPFZxODbSmTzmmHaGMqtbjB/nqSRPQbU63LTf\n0eC04IAnhgTKyC9UdsrOQvt3u+YEdH2I/KeApO7ZfD2wr8hiTJPX/Ygteq1y/WlDv8ozFtnBBnqU\nRT30NW6l0c0l47I0ARPoDAHdY+wVSlcNuW6er2rHeiZgAiZgAiZgAibQDgE7HNuhZV0T2E+AN/wR\nCE4BOQKUrjkE2vyF6plDDql/jFpOxvHx8XlPOjZyJtKfnnDEGcDYGNfUypUUVZYzu3cf8HSj7Ckg\nfXCpjHOeYhk3mM5TbJIps9FE3VXLQEDXKEbuT0kcjVx36amcPYRyyTytvPR0z6sd936rKdJv3EsY\nE+OUjbK0ynAy6qlrbFAmO7STdDABE+g8Ae4t9gT1QFmV3trRrWLPOiZgAiZgAiZgAibQiIAdjo3I\nuNwEKhLAGRClHAE1p8GqVWlo586KllIaKxx8OrzHJxvldOQj1vnBHsP0Fx0H1OGYGN6zh6LKcroY\nP7aZnxor7UNLZYyVFc20MqqeUNT11L2ioLQiDr/a/rC/TvXcu5Tn9xt2KOe+VDucjkq3ChpD2Vc0\nqC1jlI2ydBw/zsboeGQO0sNGLeE/JmACHSfAfSbD7A9lnUS9snqXmYAJmIAJmIAJmMBSEbDDcanI\n2u5AEIhv8nEESOIM2Ld6dRpuw+G46uGH684AnAI4G+PBXgeIeIigT5wGgk+ZxiKHxFhhu92wb7/D\nMc5N6TyoLI4nr3feBAaFgO4D7gck96vuT5VJ6n5WoE4OPPYN6RClk6elpzLd14r8QJTstgrS4Ssa\nNAbly/4jg3HJXkxLnza501Hl6OYSO63G53oTMIH2Ceh+czABEzABEzABEzCBbiNgh2O3XRGPp2cI\n6MBPII1jADm5cWMaK354pWpYe/PNaaQ4OOggL2dAHqNjQDZ1yKCv/MCB80IOCbVb961vVR1GXW+i\n+N5H7EvGoHzeZ6x32gRMYJaA7hM54xR03+h+VBnlynO/4kxEF8n9J4ludDbKluy0ChoH+4ocj2pD\nZDyywfhII3EqSqodEhvUq72DCZiACZiACZiACZiACZjA4BKww3Fwr71nvkACHPxpTl4yj3tPOimt\nuvFGVFvKse3b07pvfjNNft/31Z0AHOSR+YGePuMBX2XoI4+46qqW/ecKGv9YybxkP/aXt3PeBExg\n1mkXOeie0f2roDR5HIjcy0jakpdUkKNRbSSxo3Ld662C+pfDka9twPmo8ri3RLuyqbwCOlGqX9oj\naU+7WmP/MQETMAETMAETMAETMAETGBgCdjgOzKX2RJeSAI4A9RGdA3vOOKPtbo/+yEfSwy98Ye0A\nnx/kOcTrUE9QmfqUA0LlSnPol5SNNddfn1bfcgtNKsnJ9evT1FFHpdHCXpxTpcZWMoEBJsA9KQTR\n4cZ9y30sqTLdu/k9pjwhr8PhqI9SE6SDfcrKpHRwMsaPVrPXxLHFsZOO9bKlfC7Rif3TPpY5bQIm\nYAImYAImYAImYAIm0L8E7HDs32vrmR1kAtFBoK6V3/Gc57Q9ijXXXptWf+UrafrFL553mI8H+7LD\nuw796pPDvvI1R0AxgqPf//62x6Gxy17ZvNo25gYmMGAEdB/Ge4d7Nr9PpUOZENEGSZnyROnL6Rjr\n+A+HWmGTPxqHnIs4HaOs7RdFPXsIY5Y50lFGvbxtWZsmw3KVCZiACZiACZiACZiACZhAnxGww7HP\nLqins7wEcAgwij2nn570pODYE09QVEke/a53pU3nnJOGjj++ps/BXhkO/KTVp8qQ6CLXX3FFWtnm\n042yvf25z5WoBdl2MAETaI9AvC+5P7HA/aly7i+kdPI0epJyLqq9gtI4GymrVTT4Ix05HIntOhxl\nln4k83TMNxiCi03ABEzABEzABEzABEzABAaAwNznMgdgsp6iCRx0AsWB/PHv//62ux199NF05Bvf\nmIZ27Ki3jQ6IemGThPRXfvKT6bAPfKCJVnnVdPEdb0++6EXllS41AROoTCA64HDQ8TSgpCIfZ8YJ\nSBn5RhI97Ei2CtLROGJb7FNGPspYR1oyRubHnDWWmG41NtebgAmYgAmYgAmYgAmYgAn0D4HWp5P+\nmatnYgJLSqDssK0Ot7z0pQvq95Abbkjrf+iH0tC999afduIpJwzihKQ8ypW/+7tp3X/9r6i2JZ+4\n6KI0vW5dvY2dBnUUTphA2wTi/RP3CaXlsEPivJOjj3Qu8zrsSa9qkG5sRx+5bcol8zrGjB31rTQh\nllNmaQImYAImYAImYAImYAImMDgEqp9QBoeJZ2oCiybAYVty91lnpaee9awF2Ry9/fZ06AtfmMZ+\n7/fS9M6dNcejnIr6CGV0Lsb0UPEDMasuvTSt/t//O80d/9vr/tFXv7rWgHnQOs9TbmkCJtCcgO6d\nGLiXGsno7IvpMn3VUx77KEujF9tQJhn7iumo0yhNf6p3MAETMAETMAETMAETMAETGGwCdjgO9vX3\n7DtEgAM2B3GZJS350M/8zIJ7Gt6+Pa34jd9IK88+O428+91p5t/+Lc089VT9u9umi1+qnb7jjjRU\n/Lr12GWXpVUXX5zGvvrVBff35HnnpZ3nnjtv/MxlwUbd0ARMYN49FXFwfy1URlvtpBfaH+1iX5RJ\nOpiACZiACZiACZiACZiACZiAfzTGa8AE2iSgA7WeKCRwwI5SaaKeEtp2wQVpaxGPuO46mrUthzdt\nSsPFk45JsQgza9akNDaW0rZtaWj/L9a2bTRrMFOM+943vak29kZPQDEv5puZcNYETKACgbL7J+4r\nFUzUVOL9WGazzE5sU1ZfpaxqX1VsWccETMAETMAETMAETMAETKD/CPgJx/67pp7RQSLAoV3dkUbm\nH0VU/u7/v717AbbsKutFP0K6EzrJCTlEgrwSDgRNzAMi4SEgbxIel6fIpSAgCKJiSVAELOFw9GAU\nES0K5YhwDm9LCTeAoFKABSQWWEhATXhcgSAQcqNAwjMkpDvJ7W/BfzN69lp7r7177+71+M2q2WPM\nMccYc4zfXGvuml/Ptdazn92uqwDhJi31gzIH7f71680KNtawLnvEI0YfAU+wMWnmVamFAIGtEejf\nZ9Pm93Uk0x5nWG9fj6s9AQIECBAgQIAAAQKLLSDguNjn1+z2s8DwprwPPF57m9u0zz3zmft5RNMf\n7qrd4/v3X/qlVb/DrXqrOQ6XcWXDOrYJECBAgMC+CvTfWbxWfl+PpT0BAgQIECBAgMDGBQQcN26n\nJYGRwKQgY37VNWkFHy9/1KPaf9znPjMnd92hh7aL//t/b+3ww1cCjv24+znW4BNgTDpzEzIgAgQI\nEFgogQQX+0mlrE8n7e/L5QkQIECAAAECBLZewHc4br2xIyygQAXa6ganX6osH0HOk40J2lWa9dPP\nf3479Gtfa//1k5/smx+w/PW7A6EX7Q42XnOHO7RDunFmDn1ac0yQMekBG7gDEyCwbgHv23WTaXCA\nBYZ/a2v7N973G+2zV3521ZH99f/91yt/r6pitfP6X5XMTgIECBAgQIDApgoIOG4qp86WTSA3L5Vm\n7QN0lU+gMcHHg3bsaP/y4he3n3ze89pNPve5A0pWwcZPPPe57cq7371tH4w14858Mr+kB3TgDk6A\nwIrAet+T662/ciAZAvtZoA82Jl/pP3zpH9qF/9+Fq44m9atSveZrqbLkRwX+IUCAAAECBAgQ2DIB\nAccto9XxMgnkBj5pH2jctm1b27VrV6v0ut2/Jn399de3a488sn30pS9td/qf/7P9yL/8ywGhuu6Q\nQ9q//NZvtSvvcY+2ffeTjTW+BBn7dFzAsR+wm7deQ57A/hPI9SZHvO2Rt21PvP0TR9eYus70AZdc\nk045+pRUX/lPkpUCGQIzJNC/fiuf7T6/2nBTL3+jklZ58qu1t48AAQIECBAgQGDfBAQc981P6yUW\nqBuW3AAVQ23XmgBdbvAreJdgYx/I2/Vf/kv72O4nHX/s//yf9t/e8Y79KnnVLW4xCjZe9WM/1rZ1\nwcYaZ9Yaa+aQeVXaz3W/DtrBCBBYEch7sQoqX+sJR53Qnn/H57edO3eO/pMjQcd6H9f7evv27e3Q\n3d/XmvrprO8rZVICsyKQwGGfTjO2ev0PX9vZFnScRlAdAgQIECBAgMC+CQg47puf1gRWbmhyA7Na\nwDFPOCYQcMPum/9/+8VfbF875ZR28v/6X23HFVdsqWh96+SXH/jA9undx7xhd8BztWBjBSgSdKw5\nJUiRG7YaaJ/f0oHrnACBFYG87/r3ZPJ5r1ZaS12X+rLU69Oql+3KWwgcaIF63dZSab+u/O38wf7V\nxll/b/vXfurWa91CgAABAgQIECCw9QICjltv7AhLIpAb9krrJqeCdXVzVIG7SodrfxP1tZ/6qXb+\nqae2O/zlX7bb/s3ftIOvvXbT1b5x/PHtU894RvvGSSetfHQ6TzPWk0+1ZjvBxkkBRzdsm356dEhg\nKoHhey/XnbrmZK33bV1fal+luR5lf6VpVwcd9jnVQFQisEUC9ZqtpU8r3/8NnebQFXCspV7v1bbS\nLHlveO1HREqAAAECBAgQ2HwBAcfNN9XjEgkMb1pqu9bc2A+DjnnCsW6esobr+iOOaP/2tKe1Sx79\n6Ha7v/7rdpv3vrcd+q1vZfeG0rptu+KOd2yXPOYx7Wt3vvNobDWmWvvgYuWHQceqk3lkXpVaCBA4\nMAL1/ksQpn9P5n1aaa45NcIKslT9lOe9n/rpo5+N93ivIX+gBfJ3sg821t/RvA9WG18CjlWnXvPV\nJq/vPr9aH/YRIECAAAECBAhsXEDAceN2WhLYSyA38JXmJr9ubOpmqYJ6CQBUWa39kpujXTe9afu3\npzyl/dtZZ7Wbfexj7Uf/8R/bj1x8cTvsP/+zrz4xXz8G8/UTT2xfPe20dtm9792uudnNvh847MbU\nBxgr0HjI7jZ9ADKBiQQd+3nlhi3pxIHYQYDApgnU+y3XjP79WNeZ2s71JteY1K82le/f03lfp236\ny2Br20LgQAvk72TSem3X38n6Eba8F1YbY/6mpk7eE7XtNR4VKQECBAgQIEBg6wQEHLfOVs9LIpCb\nmNzAVFo38rlJqpv7CuZle9yNUrXJWjdJo6DB7kDgV+92t/aVu951JHnj3d/veMSll7bDL7usHbL7\nycdtV1/dbrT7xmvXjh1t12GHte8ec0y76ta3bt/ZvV6/u20to7H8YDwJSCSwmCcaK9iYfKXZ3wcl\nEpgYdeofAgQOuECuF3lfJ9CY60uVV1ktVbcPONa+fq39qTfK+IfAARDIa7cOPczXa7nW+vtYa79/\n0lArMFlL/16pdnm9177005dVuYUAAQIECBAgQGDfBQQc991QDwT2EMiNS93Q11I3NAk4Znu04wf/\n5GaoT3ND1QcRvvcjP9KuOfro9rU73alvvld+1M/u0kr7oEICDjWWPsDY58cFG/txVb6WpKMN/xAg\nsN8E8n6s60q9v+saUWm9v6us1qrTXztqu3//1/u82qSvpPttEg5EYAqBvJ4rrddz1vU84Viv7fwd\n7Purw9c+CwECBAgQIECAwNYJCDhuna2el0igblxyo59p5ya+bvRrqf19OtrY/U/q5aaobqYqn5ur\nPnCwWh/VX26gKk1/lQ6DDX2Qsc9XICJ10z7jy3ilBAjsX4F6D+b6kjTvy3qfVlmuM3nv57pRI01Z\n1V3tPZ4+02b/ztLRCOwtUK/trPWazhOOe9fcu6Tq1ms+f0vTz941lRAgQIAAAQIECGyFgIDjVqjq\ncykF6ma9bmgqraVudLJUed3oZ8mNfdKq26+5qcqNUoIH/Q1T5bPkmOP6SwCx0hpDBRiT9vkqq7Xq\nZSzpr47THyPHlRIgsH8F6n2Y60zl++tM3q9VVteMWvq6eW/nmlD10mb/zmL+jtZfb1cbfXla9k0g\n1n1a+eHfw7WOkoBjvd6rfd9fnafadr7WUrSfAAECBAgQILBxgR9GQDbeh5YECIwRyI18HxCoG59+\n6etUvQQCEnCsdHiT1d84pa/cNCWAUGnW9JmAYoKN2a6gY9VJsLHyaZvxpf+kOa6UAIH9L5D3Yb1P\n+yXv1/wHRe1LUKX25X3dp2mTtO9P/odPpk9rkaBW1S9Ty8YE4tin+VtYfxdTvlrveR9U3X5drY19\nBAgQIECAAAECmycg4Lh5lnoiMLrBrBubutFMWix9YCA39n2aoGDSPuCYoGP1lxuo6rO2s/R91bFq\nO4HD9JkAY5/Wvj7QmDbpI/3mOFICBA6MQL0Xh+/5GkmV9+/XyvfXiYw27+XUTZry1Euf/fYy5nvr\nmv+l37q0nfvJc1eluMst79Lufdy9V+pUH+Vr2TeBchyu0/SYAGXeD/05dW6mEVSHAAECBAgQILBv\nAgKO++anNYG9BOoGc9zNTN3g15Ib0NzoV3kFFStNcLAPOA5vmmq7lv7mKX1VWv1kTX99mgBj0uxL\nm0r7/kYH2/1PlVkIEDhwAvUezLUlab1fK5/tuj6krEaa8sr37+u8z6u8lry/k36/dDn/LbMsyX/2\nis+2577vuSkem/7GT/1G++ljf3q0L45pn+2xDRWOFYhd7Uy+0vwNHNuoK6x6fbvsqjLnIxpSAgQI\nECBAgMDWCQg4bp2tnpdYoG5mxt3U1E1+lqpTa5VlrUBjBQATcKwbpsrnxilpbqKGfaW/Squf6rcP\nKPZBxuxL2retfK1Z+nzKpAQI7H+Bei/m2pI0o8j7tr8+9HXyPk69fjt9LHs6tOu3p7Gpa3Rcq36f\nn6a9OnsKlH/OQZ/fs9bkrWGb9DW5hT0ECBAgQIAAAQKbJSDguFmS+iEwEKgbzbq5yQ1ntqta5fs1\nAccEG/tAY+Wz5uZpeNPU91X59JdgYrb74GPKkg77yHSq3EKAwOwJ9O/Nyud6M7w+ZOSpP0yH+7O9\nbGnvVvl+rWvwWkvqp97wnMQ9+6XTC4w7N2u13kibtfq0nwABAgQIECBAYHoBAcfprdQksG6BcTec\nFeCrG6HalzVBv7qpTdCxnkaspxurbpVX2q/DwaSvStPfamnq9e2ST9+1bSFAYLYE8r6s60EttV35\nlGe7H3X2pazf7vPZv2xpLGve/XW2v/auZVJ1ay3PWuv6W2nOTdK1+rF/vEB/XsbX2LN0vfX3bG2L\nAAECBAgQIEBgXwUEHPdVUHsCawj0N5zDqsMb0tquG9ZK62apgo+VDm96q2y45CY3afru0+SrTp+v\n7VqSDvOjnf4hQGCmBOr9mmtB/94dN8hJ+yeVj+tjGcrKM2uuu5XWf/6stVS7qlfX1lrHnZsqY76W\npP0ECBAgQIAAAQKLICDguAhn0RxmXqBuMIc3nymr8tyEVlo3qrnRzb5hOm7C1V9uZJMfBhWH29VP\n6qbP9JFtKQECsyuQ92tdI/ol5X1Zn19rf1932fL99TbfobuegGPvVdfcLMwjISVAgAABAgQIEFgG\nAQHHZTjL5jgTAnWzmaDA8MYz+3KjWzepyfdpTSR9DCeVPvu08uPWatvXS18py7aUAIH5EPDe3ffz\nlGtt9VT/6ZM1Qce1jjB8ErLOSa7Xzs9aevYTIECAAAECBAgsmoCA46KdUfOZaYHcdI67Cc3Nafb1\naZ9fbYLpv0/7fLUdbvdlq/VtHwECBBZNYHhtre2sfcBxmicc+4BjXWf7NcepssrnOrxontPMJxbD\nuimvdNw6rL/e7Y32ucznar3G6hMgQIAAAQIEegEBx15DnsB+EsgNTN0AJZ9D13ZfXvlakqbepLTv\nL/mk1abPj9ue1K9yAgQILLJArrGV1poAYgUb1xNwrGtste2fVB9edxfZsZ9bTPuyjeZzXqbts68/\nbZtxYxu2XdZzOc5GGQECBAgQIEBgNQEBx9V07COwxQK5cckNTbb7w1ZZ7R+3r6/X54d1h9tVd1xZ\n34c8AQIElk2grrW1VsAw6Xo/Ul3X1j7YmD6X6Zpbcx4u48r6Otkfr3FpX3/a/Lh+UjZtH/25q7a1\n9GXT9qMeAQIECBAgQGCZBAQcl+lsm+vMCuTGZdKNTO3Pvmkmkf6GdSeVD+vZJkCAwLIKJBhVQcc8\n5VjpWku1q+Bkgo3VpvL9UnUW+To8/DtV2y/98EvbFVdfsebfsL5t5fs1T5mW6a5du9p/fPc/etax\n+T/81z9sBx988Git81D5Sss/axqudU6y/3fu+zttx7Ydo2YZb/alLykBAgQIECBAgMD3BQQcvRII\nzJBAf+OSm5kMr9+XsmnSjbabpm91CBAgsEgCue4m2FUBrlqn+Uh1tam6fVo2fZ+LfD3OPIdz/t8f\n/9/tkq9fst9fJq/9f1+76cf8zXv+ZrvxwTce9ZtzWfNOftMPqEMCBAgQIECAwBwLCDjO8ckz9MUW\nmHQD09/U9QKT6vd15AkQIEBgb4G6ruba2qcpT9neLX9YUnUSoEz9pD+stZi5fp7JV5r8osx6OKf8\n3a3y5BdlruZBgAABAgQIENhXAQHHfRXUnsB+FnBTs5/BHY4AgaUTSGCp0jy1uBZC36bq1naWyi/q\ntXs4z96h3xeLeU4TUO7PZfKLfI7n+ZwZOwECBAgQIHDgBAQcD5y9IxMgQIAAAQIzJJBgWYaUgFnS\nlE9K0z71sz2p/iKVZ659Om2wdl4c8gNCw+/mTNBxXuZhnAQIECBAgACB/SEg4Lg/lB2DAAECBAgQ\nmBuBBAxrwH1+tQkk0JY607ZL/XlMM8fMPWmeBKx0kZbMq+Y0LuhY8xd8XKQzbi4ECBAgQIDAvggI\nOO6LnrYECBAgQIDAQgokeLbeyW203XqPM4v1M/cE5uqJwCpblKV+Ibv/AaH86vWizM88CBAgQIAA\nAQKbKSDguJma+iJAgAABAgQWSiBBtGkmtUjBtWnmW3Xik7QPNvbBuWn7m+V6mVs9xVhr5pwxe7ox\nElICBAgQIECAQGsCjl4FBAgQIECAAAECUwuMC6wm+Ja0gnOL9oRjzafWBBwTdOwDjbHpy6aGVZEA\nAQIECBAgsEACAo4LdDJNhQABAgQIECCwvwUSZKs0TwEm4PiK+76iXfW9q0aBugTsUq/SrP2YU1Zp\nLQlcps+Xf+7l7cvXfLlvslf+ZSe/rB188MGj4GB99Dkff+6DhX2jvrzyaVN9bNu2bdTXjhvtWJlf\n7c/4KhVg7DXlCRAgQIAAAQKecPQaIECAAAECBJZEIAGiTDfblSaffZuZrtX/PAer4tanlU/g8Y5H\n37Ht3LlztNZ3IOZ7ELO/t0kfZZ/ySivgmPqV33HwjjVPz8lHnDwKGlbAMMHDBB2rccz7tPJ93Wq7\nffv2UcDxkEMOaQfdcNDKOPrxVbvaTl9rDk4FAgQIECBAgMASCHjCcQlOsikSIECAAIFlEajAz0aX\nPog0zK/V57B+vz1N20l15imIVXOupZ97HyjME45V1j+12LeLw7g+ql3qpt6ktOrW0vtV29ruy5Kv\nNE8t5hhVlvEn7cc16djKCRAgQIAAAQIEPOHoNUCAAAECBAgsgECCRMOpTCqvetnXB5H6/LCv9Wz3\n/SQ/TfsEwFK32mYZ7kv5rKYZe9KMMx5Jqzx1+jT7k/b10tdaadqm375+eVZ50tTp2/Rlw+NnX9+n\nPAECBAgQIECAwPcFPOHolUCAAAECBAjMrcAw6PMf3/mP9vHLP74yn+H+lR1dJk/D5aO7lebjv/Vx\n4E9e8cmu9vjsl6/6cvvgZR8cfQQ3H8Ot7/7LR3QrqJV1fA8/LK16tdzmJrdppxxzysqOmkv2rRTO\ncCZjzbyHaQ09TxXWvswv56zK6tykXfZPO+W0m5RWP7Uv6aR648rTZtTYPwQIECBAgAABAnsJCDju\nRaKAAAECBAgQmAeBBKZqrMl/6Esfaj/7//zsfh/++y57X6t1M5ennfa09ur/69WjLhMYW2/QbTPH\ns1Zf4wJzCbgmre9FrKXqVjCx5pNzl7T2p3zYZ+2bZumPl3z1VflaKj9Ms7/SGmfWvn3tyzrqwD8E\nCBAgQIAAAQJjBQQcx7IoJECAAAECBGZZYFxwapbHu9Gx9fOsPirYVWWVzsKScSQIl7SCdBWw67/7\nMOOvffkOx8xvmPbByP7J0/Sx1twTLEy6WtBwOIfUTdukKc8ch+laY7KfAAECBAgQILBMAgKOy3S2\nzZUAAQIECCyAQIJTNZXK92sFqhZlqXnVfPqAWJXVdtIDMdccf3jsBOASmKu0gnU11lpqf5XVnFKe\nfcM0AcdKq00FHat9+hllVvmnPs5ex0ha+eonY0za95eyqpe1b58++n5WGYJdBAgQIECAAIGlFhBw\nXOrTb/IECBAgQGC+BBKYqlFXvl8TpJqvGU0ebc2t5lSBsApy1VL5Ku/TyT1s3Z4cP2Oq7eRrrBWc\ny1L7aq2yPNmYc1VzqWWYZn+l9X2a1a7SHCd9T0orUNiv44KF6atPK19rAo7VLmuCj9mXuv0Y0ldf\nJk+AAAECBAgQWEYBAcdlPOvmTIAAAQIE5lygAlT9WoGprHM+tZXh1/wq0JZgY9JZCmrVWGqcGVPG\nWGVZal+V11wqeNeft9QbpjmXlVbbPtiYY6X/cWkFB/sf7+mDhdU+a7VNfylLWsetNcHKBB5TnnpJ\nx41DGQECBAgQIEBgWQUEHJf1zJs3AQIECBCYM4EEpfphV1mCUxXQqvyiLDW3mlO/VLArSwW6qk6l\nB3rJGCrNGCuftc5LBewqrTHXWsu4tMpSr+afPlK/ttda8nRjBR0TeEzgsMbX95n++jT7E1wcptmf\nNmuNx34CBAgQIECAwLIJCDgu2xk3XwIECBAgMOcCCVglreBUrRWcGgbo5nmqmVPmUMGtmvOsBLn6\n8dS4asnYhkHH2p8gYuomrXbJV1przmn6SZ0qn2ap4GKCjnnaMU8o1hir34w1afWbfKVZU7fS5LNv\n2GaasalDgAABAgQIEFgGAQHHZTjL5kiAAAECBOZcIAGpfhoJTvUBqmkDUn0/s5rPvCq4VYGufr41\n5iqvpcqTHxUcgH/641c+Y6rzke3MIWPuh1n1U175Chynj0qz5onHvu24fIKLfdCx8gkaJnBYbfux\n99tVPs067vjKCBAgQIAAAQLLLiDguOyvAPMnQIAAAQJzJFCBp1oSgMqTcJVWMOp2R96u/dppvzbK\nV1nVS9q37ac8LO/7rvzlV1/e3vuV9/ZN9sqfdORJ7c5H3XmvJ+ASsEqDPriVfOpU2gfE7nTzO43m\nUeU1h9SrMVU+afo+EGnGUceu/HCpwF88K60laV83ZalbfdWca6m01jq/5TPNUvUSdKy0go3ZjnHG\nm7TvN2WVDvP9dtqkLNtSAgQIECBAgMCyCwg4LvsrwPwJECBAgMCcCSQ4lWHXdoJStz/y9u1Zpz6r\n7dy5c7RWkCpr1UlAq9qmn5QlTb20++dv/POaAccTDz+xnXXrs0YBsQps9UGtcUGrOn7KK00wrNJ8\n72ClmVfGljFX+1lZavwZV+WzpDxplade6iRNeaXJp12ZJNhYrv0x0n6Ypl6lOR8x7s9NtZvUX1+e\n/DBdrf1wTLYJECBAgAABAsskIOC4TGfbXAkQIECAwIIIJDA1TBOgS1qBqvqF42xXWkuCWmmfsmz3\n9VN31HDCP1Unffd9VYBqGKTqyxIYS7e1L8G1CpBVnxlT6sximjnGKtsZa23XvmF59qdd5prt+AyD\nhGk3Ka3j9G2S79OMJem4vob71toe14cyAgQIECBAgMAyCgg4LuNZN2cCBAgQILBgAglU1bSS79ME\nEFOWesO09vdBvr5+1V1tSd0+rfq1XYGqpH1ZHauCYGmTY6dO0uyv7VleMs+McRigS/laabWbtK7V\ntvZPajssT91JfVb9ccuk8nF1lREgQIAAAQIEllFAwHEZz7o5EyBAgACBBRNYLQDUB5mmmXbVrwBf\nLWk7TbvUGbbpt8flq6yW7Ou3U96nlZ/lJeOvMcax8n15ba+29BbraTeuz2Ff/XbVX0//66k7bizK\nCBAgQIAAAQLLIiDguCxn2jwJECBAgMACCSRolCnVdj0pmLTy9ZHk/snA2pftBML6NPuqz6qbpc+n\nbJj2xx1+bLf29X1ku0/zPYOT2vbth8ee5e1J4477WmPvjZJfq03tT90+naZd6lQ7CwECBAgQIECA\nwMYFBBw3bqclAQIECBAgcAAEKhiUgFXlK0hXH0WufL73sP9ocpXX9yJWmyqvJe0r7fO1P2vVS/+V\nX23Jsev4ffCwb1/5Wirt8wkypm3SlKd+0tXGMS/7Mv9J492KuabPPq3jrzWWSWNUToAAAQIECBAg\nMFlAwHGyjT0ECBAgQIDADAv0gaMKzlWgLkHFSmt/gna1rw9C9kHG5LO/0vxwS/3gTPWx1lLH2rZt\n22gMqwUMq5+Mu89n/GlbafrLHNKuUgsBAgQIECBAgACBWRYQcJzls2NsBAgQIECAwEiggmwJIiat\nHVVeAbkqqyBdpdmfQF2VJ5hY+2rp0+SrToKN1aaCjdV/5dda6lgVIEyQMGnGV2mttYzLZ6yV1vHS\nvvK1Vvm4dulv1LF/CBAgQIAAAQIECMyIgIDjjJwIwyBAgAABAgSmE0jgrgKFFYjr0wrU1f4E8CpY\n1wcbE1zs08pnrboVaKwnHHOc6mOtpY5Xx651+/btKwHDjGO1YGH2pW6lCTQm2Jh9qbvWeBZ1f87J\nWvObtt5a/dhPgAABAgQIECCwMQEBx425aUWAAAECBAgcYIEElSoYlyUBuUqrvAKJfcAx9cYFHKte\nrdVuowHHCjYm4FjBxwQKK814M8aMJdsZc9+mDzj29Sq/TEvmvp45b6TNevpXlwABAgQIECBAYLKA\ngONkG3sIECBAgACBGRKoAFIChX3ArQJ0tSTAVGmV9YHGPMGY6aSflFda9RNozLESgEy7SWnV759w\nrKBjnlJMALHq1FJp8tmutOplX/J9275N1a9lXNn39yzGv/HIbGr76Sc8vX3lqq+MzlfOceqV+baD\nv/+Ua99m0Z0yVykBAgQIECBAYFYEBBxn5UwYBwECBAgQILCmQAWOEiysygkkVWAu5amTspQnzUGy\nnaBVgovps/ZXWQWx1lqqzSjY9YOPVSf4WGXDoGH6T5/ZrnTatdqmXfpZtLSfX+9yxq3PaDt37hyt\n9fH3Ok+1v6zzhGlfPy59fymTEiBAgAABAgQIbI2AgOPWuOqVAAECBAgQ2CKBChwlyJQ0h6qgU5X1\na/ZVWb9kOwHHPN2YtsMAZN92mK8xVWCxjp+1go6VXyvgWH0lGFbpMD8sGx57Ebdrzjk/mX/S8qx8\nXKtetvs09SvN0udTJiVAgAABAgQIENh8AQHHzTfVIwECBAgQILDFAhU4SqAph0pZbff52k7wqvJZ\nUtbXrXwFGhNsTFArbSal1S51K03QMflKq07WYT9VniX5SWnVy760WdS05pl16FvnL2vV6c1TN20r\nzdLnUyYlQIAAAQIECBDYXAEBx8311BsBAgQIECCwnwQqcNQHDXPYlA8DS6mbev12Ale1rw9WVX6a\npY5VdZOmj/U+4Zhj9WPv87V/uJ02i5JmfpUO13It0zyVWnOuc1f1sm+SefpdFCfzIECAAAECBAjM\nsoCA4yyfHWMjQIAAAQIEVhWoIFIfOExQaVhenWRfOuzbJeCY4FXV7de0WS3t6/f5BB/7stX6qX1V\nd7iMKxvWmfftmmPOQc5PlfXBxD7Y2JtUnXyMfa2gY99u3s2MnwABAgQIECAwiwICjrN4VoyJAAEC\nBAgQmFqgDx4lSFWN+/LVOku9Sofrau3G7Ru2n7Q9ru2ksupjGZfYJWCboGPOce2vsizZPynomHpS\nAgQIECBAgACBrRcQcNx6Y0cgQIAAAQIE9pPAMDiX4NRGDp+A17DPcX31daepP66PKtuXtpP6nMfy\nOMQ1wcT+fPZlqVdPNtY6DDpmf9J5NDFmAgQIECBAgMA8CQg4ztPZMlYCBAgQIEBgXQIVYFprSZ0E\no5Ku1W61/eljUrpa22XcV061VECx8gksVlCx8lkrmFhL1cmP+4wKflCWj1In8Fjt+3OQupXmmH2Z\nPAECBAgQIECAwOYICDhujqNeCBAgQIAAAQIENkmgDwYm6Jiua1+VjQs4VnmtCTxmuw869n2nTykB\nAgQIECBAgMDmCgg4bq6n3ggQIECAAAECBDZBIIHBBBiH2/2Px9Th+noJNCZN200Yli4IECBAgAAB\nAgSmEBBwnAJJFQIECBAgQGB5BQSr9t+5L+vhx6oTSOw/Zl3Bxgom1pL6la+6qd+nKa809UYZ/xAg\nQIAAAQIECGyJgIDjlrDqlAABAgQIEJh3gQSppp1H6ieoNW079fYUKL8+iJi9ce33JQhZdbK/0klr\n+pISIECAAAECBAhsrYCA49b66p0AAQIECBCYM4EEqzLso298dDvz1mfu8Z2BCXpV3XrS7oT/ekKq\nj9Iqt+y7QBwrLfOyTpAxaX+Uvv64fNVNed9OngABAgQIECBAYHMFBBw311NvBAgQIECAwBwL9MGo\nytd6h5vcof3hXf+wXXvtte26664bBR4T/KofJznkkENGa+pn+sPtlEvXFii7BBSTj2fKk/a9VZ0s\nySet8j6felICBAgQIECAAIHNFxBw3HxTPRIgQIAAAQJzKNAHoyrfr/nxkQS5Kk1ZpX3d5OeQYKaG\nXI7xrnwttZ180r6sn0D2p2y4nXIpAQIECBAgQIDA5gsIOG6+qR4JECBAgACBORPog1GVz9oHFetp\nxgTAanpVp8r6OmmX/X1aecv6BMqzlrhnu+9lXNl69vd15QkQIECAAAECBDZHQMBxcxz1QoAAAQIE\nCMypQAWs+oBWbWdNMLECi/XLyLVUWvVrX5VnTd20rbqV79PRhn/WLRDHnKdpOkibaeqqQ4AAAQIE\nCBAgsLkCAo6b66k3AgQIECBAYE4FEihMmgBigo0V7Kp9kwKOVS9t0kdPUWWWfRNguG9+WhMgQIAA\nAQIE9peAgOP+knYcAgQIECBAYC4EKqiVwGEfbKzB174KPOYJx6q3bdu2vZ5yrPKqm3UuJm6QBAgQ\nIECAAAECBDZJQMBxkyB1Q4AAAQIECMyvQAKDlVawsAKKFWxMcLFm1u/rt6veMOjY9ze/KkZOgAAB\nAgQIECBAYGMCAo4bc9OKAAECBAgQmHOBCgpmqcBiHyTsn3BMnSrrg5AJQFZZ1rRLX9V2mE9/UgIE\nCBAgQIAAAQKLKiDguKhn1rwIECBAgACBdQskOFhpBRGz1PZ11123xxOPtS8BxqqbgGTK0lf6kBIg\nQIAAAQIECBBYFgEBx2U50+ZJgAABAgQITBSo4GCWChj2S+2rH4qp8v4j1lWnymp/gozZTrAxad+f\nPAECBAgQIECAAIFFFxBwXPQzbH4ECBAgQIDA1AIVIKwlQcTks90HHBNMTJqgY7Yr7Zfhdr9PngAB\nAgQIECBAgMAiCQg4LtLZNBcCBAgQIEBg3QIVCMx3OCat4GHy9XRj6lTnVZ6lyietVaf2WQgQIECA\nAAECBAgsm4CA47KdcfMlQIAAAQIE9hJIQLFPU6mCj7Uk0Ji0yhJs7PMJMibNvkotBAgQIECAAAEC\nBJZBQMBxGc6yORIgQIAAAQJTC/SBwmpU23naMZ0Mt9NmmKZ92kkJECBAgAABAgQILIOAgOMynGVz\nJECAAAECBNYUSLAwTzBmuxpWPuXZTofDeikf1uvL5QkQIECAAAECBAgssoCA4yKfXXMjQIAAAQIE\n1i3QBxf7YOKkjsbVGVc2qb1yAgQIECBAgAABAosmIOC4aGfUfAgQIECAAIF9FkjAcNJTjZMOkHaT\n9isnQIAAAQIECBAgsAwCAo7LcJbNkQABAgQIENiQwLgAYoKQ4/Zt6CAaESBAgAABAgQIEFgwAQHH\nBTuhpkOAAAECBAhsrYBA49b66p0AAQIECBAgQGD+BW40/1MwAwIECBAgQIAAAQIECBAgQIAAAQIE\nZkVAwHFWzoRxECBAgAABAgQIECBAgAABAgQIEFgAAQHHBTiJpkCAAAECBAgQIECAAAECBAgQIEBg\nVgQEHGflTBgHAQIECBAgQIAAAQIECBAgQIAAgQUQEHBcgJNoCgQIECBAgAABAgQIECBAgAABAgRm\nRUDAcVbOhHEQIECAAAECBAgQIECAAAECBAgQWAABAccFOImmQIAAAQIECBAgQIAAAQIECBAgQGBW\nBAQcZ+VMGAcBAgQIECBAgAABAgQIECBAgACBBRAQcFyAk2gKBAgQIECAAAECBAgQIECAAAECBGZF\nQMBxVs6EcRAgQIAAAQIECBAgQIAAAQIECBBYAAEBxwU4iaZAgAABAgQIECBAgAABAgQIECBAYFYE\nBBxn5UwYBwECBAgQIECAAAECBAgQIECAAIEFEBBwXICTaAoECBAgQIAAAQIECBAgQIAAAQIEZkVA\nwHFWzoRxECBAgAABAgQIECBAgAABAgQIEFgAAQHHBTiJpkCAAAECBAgQIECAAAECBAgQIEBgVgQE\nHGflTBgHAQIECBAgQIAAAQIECBAgQIAAgQUQEHBcgJNoCgQIECBAgAABAgQIECBAgAABAgRmRUDA\ncVbOhHEQIECAAAECBAgQIECAAAECBAgQWAABAccFOImmQIAAAQIECBAgQIAAAQIECBAgQGBWBAQc\nZ+VMGAcBAgQIECBAgAABAgQIECBAgACBBRAQcFyAk2gKBAgQIECAAAECBAgQIECAAAECBGZFQMBx\nVs6EcRAgQIAAAQIECBAgQIAAAQIECBBYAAEBxwU4iaZAgAABAgQIECBAgAABAgQIECBAYFYEts3K\nQIyDAAECBAgQIECAAAECBAgQILBVAjfccMNUXR900EFT1VOJAIHJAgKOk23sIUCAAAECBAgQIECA\nAAECBOZYYFKQcVjeBxn7fX35HDMYOoH9LiDguN/JHZAAAQIECBAgQIAAAQIECBDYaoE+cFjH6rcr\nX+ukgGLK0ybbWz1m/RNYFAHf4bgoZ9I8CBAgQIAAAQIECBAgQIAAgZFAAoW1keBipddcc037H//j\nf7Tjjjuubd++vR1//PHtJS95Sfvud7/brr/++j3qjusDLwEC0wkIOE7npBYBAgQIECBAgAABAgQI\nECAwBwIJFPaBxgomXnfdde0xj3lM+93f/d122WWXjWbyhS98ob3whS9sJ598cjvvvPNWgo7D4GOm\nnT6zLSVAYLyAgON4F6UECBAgQIAAAQIECBAgQIDAnAn0wcYaegKElb7lLW9p73nPe8bO6Itf/GJ7\n/OMf3x70oAe1iy66aBR4rKDjaoHHsR0pJEBgJCDg6IVAgAABAgQIECBAgAABAgQIzL1Ago2ZSIKN\nCRy++93vzq6J6fnnn9/ucpe7tGc/+9ntiiuuWDXwmP4ndmYHgSUWEHBc4pNv6gQIECBAgAABAgQI\nECBAYNEEEgisNMHG+jh1fX/jNEu1+bM/+7N20kkntVe96lVt165dK/2Me+Ixx5umb3UILIuAgOOy\nnGnzJECAAAECBAgQIECAAAECCypQQb9a+jSBwAoSVsDxtNNOW9fsr7zyynb22We3u93tbq2efJwU\nbEynOXa2pQSWWUDAcZnPvrkTIECAAAECBAgQIECAAIEFE+gDjRUkzPqkJz2p3epWt1r3bC+++OJ2\nxhlntCc+8YmtfmQm/U0KQAo8rptYgwUUEHBcwJNqSgQIECBAgAABAgQIECBAYFkFEvCrNMHBesJx\nx44d7a/+6q/aKaecsiGa+hXrO97xjqNfub7qqqtW+hZ43BCnRgsuIOC44CfY9AgQIECAAAECBAgQ\nIECAwCIL9AHGYT5Bxwo41nrssce2Chz+zu/8TjvqqKPWzXL11Ve3F7/4xaPAY/WTgGYdp1/Tccqy\nLSWwLAICjstyps2TAAECBAgQIECAAAECBAgsmEAF9IZLgnxJExSstIKOVf4zP/Mz7V3veld7/OMf\n3w4++OBhF2tuf+lLX2pPeMIT2plnntnqI9fV7/BJx35sfX7NzlUgsAAC2xZgDqYwZwK56K+WztmU\nDJcAAQIECBAgQIAAAQIEDqBAAnpJayjDe84EHvO042GHHdZ+/dd/vT3iEY9of/zHf9wuvPDCdc+g\nfkzmrne9a3vGM57RXvSiF7Wjjz66HXTQQStrOqyyjK3yFgKLLuAJx0U/w+ZHgAABAgQIECBAgAAB\nAgQWVCBBxZpeAnqrleUpxD74eNxxx7WXv/zl7Zxzzmm3uMUt1i1Vfb3qVa9qJ5988ijdtWvXyket\nc7zhmDLWdR9MAwJzIuAJxzk5UYs2zFxsJ6WLNl/zIUCAAAECBAgQIECAAIHNF+gDd7m/rKMM8/2R\n0yZ1Eny85z3v2U4//fR27rnntje/+c3te9/7Xt9szfyVV17Zzj777Paa17xm9MTkve9973ajG/3w\nOa885ZgnHOv4ya/ZuQoE5kxAwHHOTtisDzcX7tXGObyo5+JeF9pcbJPP9mr92UfDXD9DAAAjYklE\nQVSAAAECBAgQIECAAAECyy2Qe9FKxz1VGJ3ca2a7vz+t/LZt20bfzXjGGWeMnlb8wAc+kKpTp5/4\nxCdata/vifz93//9Vk9Q5rj9PW7lM+6+fOoDqUhghgUO2v3i3vsbVmd4wIZ2YATyMqm0Lt75zoud\nO3e2Wut/fq655pr23e9+t5166qmrDvLhD394O+GEE9r27dtHF/P6H5/6kt5K6yKb/wFywV2V0U4C\nBAgQIECAAAECBAgQ6AT6+9bK5/41D7nko865n02a/ZXWkn7qnvTyyy9vH/rQh9oVV1zRHWn67KGH\nHtqe97zntec85zltx44dewQeq//+vrfPT38ENQnMpoCA42yel5kbVS64uWDnwpyAYwUbK+h49dVX\nt1NOOWXmxm9ABAgQIECAAAECBAgQIEDgQAkce+yxo6cd66nHPGzTBxwTbEx6oMbpuAQ2S+CHXyaw\nWT3qZ+kEKgiZC2UCk0uHYMIECBAgQIAAAQIECBAgQGCCwJe+9KX2xCc+sZ155pntoosu2uNj39Uk\n99JJJ3SjmMDcCAg4zs2pms2BJtBYo3NhnM1zZFQECBAgQIAAAQIECBAgMBsC559/frvrXe86+nGZ\n+ph2fYw799LDdDZGbBQENibgI9Ubc1u6Vv2Fry6I9ZHqSq+99tqV73DMR6qf8YxnrOyvdhdffPG6\nf91r6YBNmAABAgQIECBAgAABAgSWSuCmN71pe/3rX98e/OAHr3zMugDyseqkS4VisgsjIOC4MKdy\naycyDDgm6FgBx/ri3fxoTH2XY9YEI5/61Ke2yy67bGsHqHcCBAgQIECAAAECBAgQIDAnAkcddVR7\nwQte0H7pl36pHXLIISsBx/5ThAKOc3IyDXOswLaxpQoJrCLQX/SG+VwcU550le7sIkCAAAECBAgQ\nIECAAAECSyFQ98hPetKT2ote9KJ2s5vdbBRorAd6aqkfk8lS9erBH/fUEZHOm4CA47ydsRkZb554\nrItf1vzSVtJcIGdkyIZBgAABAgQIECBAgAABAgQOmMBd7nKX9tu//dvttNNOa9u2bRt9TVl9XVnu\nnQUYD9ipceAtEBBw3ALUZegyQcakCTJW2q8HH3xwO/roo0ff9Th0qbbDZVzZsI5tAgQIECBAgAAB\nAgQIECCwUYE8QNO378v6fD19WF8h9t3vfnflx136dtPkb37zm7df+7Vfa4985CPb9u3bR19LVve+\nuY+uY9R2HbfW/r54uD3N8dQhMAsCvsNxFs7CHIxheMHNj8ZUmu9w3LlzZ7v66qtHwcVK66Kc73FM\n/eonF9VcYCsoWflsF0cusEnngMgQCRAgQIAAAQIECBAgQGCGBPr72OQrzVqBvspXWmvuW5N++tOf\nbq997Wvb5z//+Q3NqoKLT3jCE9pTnvKUduSRR46+q7G+rzFr7a+1nnas++Ja+/vl3A8n3dAgNCJw\ngAQ84XiA4Of5sHWxG651YayLcl0oKwBZaS7SubBXm7qIZ8mFPX1VeV+3tmufhQABAgQIECBAgAAB\nAgQIbEQg95jVNvlKs/ZBx5RdccUV7Y1vfGO74IILNnLIUZt73OMeox+Euc1tbjMKMCaomePlWEn7\n8W34oBoSmCEBAccZOhmzPJQE/upiWEuChPnfl0or6FiBxvofmuFFtOpXILLq5YKaPjLvHKO2q05t\n53ipIyVAgAABAgQIECBAgAABAusVyL1l7keTVj/ZV5/ae8c73tHOPffcds0116z3EKP6FWB8xjOe\n0X7yJ39ydG+c/nOMcdv9gapef2/c75MnME8CAo7zdLZmbKwJGCbYWEHGPNk4fLqxthNArHr9kn6y\nv9JakvZ15QkQIECAAAECBAgQIECAwLQCCfT195tVVmvuTWvfP/3TP7VXv/rV7fLLL5+26z3qHX74\n4e1xj3tce9jDHjZ6orH6zFr3zLVmu0+rk9pOmvyowD8E5lhAwHGOT96BGnoujnX8yteTjXWxrmBj\nXbDrCcf+ol71KuBYF9jaX2v2p4/qp8r6i2ufr3oWAgQIECBAgAABAgQIECAwrUB/35l8pbXWfWnd\nc37xi19sr3zlK9uFF144bbd71Ks+HvCAB4y+q/Goo45a+S7Guk9ebU0AstJahve/w+09DmqDwBwI\nCDjOwUmapSHWRS8X6srXxbG2E3RMWmPO/qpTAcf6SHWlwwt8P79cVJP2++QJECBAgAABAgQIECBA\ngMBqArlfTZ1s5z406be//e3RD8Kcd955o/vU1F9PesIJJ7SnPvWp7fa3v/3o3rgewql74nzVWP+j\nMNnXByEnBR37++E+v56xqUvgQAsIOB7oMzCnx68LY/5HqPK1JNhYF8R+TcCx9ufpxlzkM/3a7i+k\nfT51pAQIECBAgAABAgQIECBAYDWBurfMknzuPyute9J3vvOd7U//9E/b17/+9VRdV3r00Ue3s846\nq93rXvcaBRoTRKygYr8m4Fi/Sp38MPDYBx1zH72uwahMYEYFBBxn9MTM8rDqIlgX6mHQscrq4llL\nLpSVVlk92VhrH3BMPvUrrT6qjYUAAQIECBAgQIAAAQIECGxEoO4ra0mae89KX/ziF7e3vvWtG+l2\nFDR8xCMe0R796Ee3HTt2TAw2VnCx7oMTZEyaskorSFn31FlzH5x0QwPUiMAMCQg4ztDJmMeh9BfD\n/M9MzaMu5LVUWQUaK62Lan+hr/0JMOYPQd9f7bcQIECAAAECBAgQIECAAIFpBXJvWWm/1r3oBRdc\nsOFg493udrf2lKc8pd385jdfCRLmycZK+2BiH3Aclqdu3zb30rkfHqbTzl09ArMkIOA4S2djjsaS\nC2CGnO1c3Gu71rqo14W00qzVJvX6NH2kTykBAgQIECBAgAABAgQIEJhWoL+/rDZ1D1plldaDMO95\nz3um7Wql3rHHHtue/vSnt1NPPXXlk3x1j5uHahJATJBxGGCs7X5NoLHaVz73zn1aB3d/vHIKZOZU\nQMBxTk/crAy7LoK5qI+7QNZFNIHGqpe6fb7vY1bmZRwECBAgQIAAAQIECBAgMF8Cw/vN3ItWWved\n3/zmN6ee0BFHHDH65emHPvShewQGh8HGPtDYBxuTT0Aygca0r3vlWvv76MpbCCyKgIDjopzJAziP\n/qJYF/jarotogop1EU2+T9OuyiwECBAgQIAAAQIECBAgQGBfBPr7zcon4FhPN9b2iSee2N773veu\neoi6T33IQx7SnvzkJ7cjjzxyVLfKcp+bwGH/1GKCi8Oy2k79ui9OsLH6Wi3YWPstBOZd4KDdbzrR\nnnk/izMw/v5llHxd3JOvtNa6cKasht3nZ2AahkCAAAECBAgQIECAAAECcyiQe8tKa+2Djbt27Wq1\nfvnLX24PfOAD27e//e2xMzzllFPaM5/5zHa7291u5f617mFrTeCw0j6wOHzCMftSvw80JsiYNIHF\npDWoPj92kAoJzImAgOOcnKh5GWYu8jXe5Idpv29e5mWcBAgQIECAAAECBAgQIDCbArnnrNFVPsHG\nShNsrPTaa69tH/7wh9uznvWs9rWvfW1lMsccc0z7xV/8xXbf+9531LZ2VOAva4KHeWKx0nGBxgQj\nU78Ci/2a/pLmOBlIlVsILIqAgOOinMkZmkd/sa9hrbU9Q0M3FAIECBAgQIAAAQIECBCYM4Hcc1aa\ntYKN9VHqBBx37tw5CjhW0PFb3/pW++AHP9guu+yydotb3KKdfvrpo8BgtcnSBwoTSMzTi+PSBBmT\npn0FESufIGOCiknreH0+x5cSmHcBAcd5P4MzPP5c9McNcbV94+orI0CAAAECBAgQIECAAAECkwRy\nj1lBw8pXsDFPOFawsQ84VtAxZRWQzHc8po8ECyvtn2pcT6BxGGRMwLHG3wcY+/ykuSknMI8CfjRm\nHs/anIw5F85ctPthZ19fJk+AAAECBAgQIECAAAECBDYqUPeeda+ZNP3k/rPSfk1gserlvrX2V3me\nVBz3dGPK+jppk/b9cSpfS9JhfrTTPwQWTEDAccFO6CxOp7+ozuL4jIkAAQIECBAgQIAAAQIE5lOg\nDxRmBsNg33A7gcYKGNYy7qPUfVCxf7IxQcYqS5Ax/dVxKt8fr/qv7Sx9PmVSAosoIOC4iGfVnAgQ\nIECAAAECBAgQIECAwBIIVAAvQcdMN0G9SrMmKFgBw3zsuvZVeW2nXqV9UHEYeKztapM0/aavSmtJ\nfxlTyvpteQKLLCDguMhn19wIECBAgAABAgQIECBAgMCCC1RwLx+jTvAxAb9KExSsIOG4YGN4Urfq\nZc13OGZ7GGzsj5N89Vf5LH0+ZVICiy4g4LjoZ9j8CBAgQIAAAQIECBAgQIDAkggkuJfgXwUIKwhZ\nAcNKE5hM4DAfp+7rJ7hYaeolX9tZ0yZpEVc+S59PmZTAsggIOC7LmTZPAgQIECBAgAABAgQIECCw\nJAIJAlZwsA841vQTMEwAMiQpT5ogY9Iqr36T5hjVvg8u9vn0LSWwbAICjst2xs2XAAECBAgQIECA\nAAECBAgsmEAF+fL0YqaWgGAFCLNU/rrrrhs98ZinG2tfX7fyVW+4pk6fpm36r30WAgRaE3D0KiBA\ngAABAgQIECBAgAABAgQWTiCBw35iKUuwsYKUtfRBxAQaU7ffl3zajBr/oH3yUgIEBBy9BggQIECA\nAAECBAgQIECAAIEFEKhg4PApx5pWBRATKKx8PkqdYGPVqf1J+/pplzR1RpV3/5N22ZYSIPB9AU84\neiUQIECAAAECBAgQIECAAAECCyUwLhBYgcRaEnAcTngYVMx2+kqadsPtlEsJENgdjN/9Rvv+88M0\nCBAgQIAAAQIECBAgQIAAAQJzLtCHOZKvtM/XFLNd+QQP+7TPV50sKc+2lACBvQUEHPc2UUKAAAEC\nBAgQIECAAAECBAjMsUAfTFwrPwwgZjtpGIbbKZcSILC3gIDj3iZKCBAgQIAAAQIECBAgQIAAgTkX\n6AONmcq4suxLOgwsDrdTT0qAwGQBAcfJNvYQIECAAAECBAgQIECAAAECcy4wTZBx3BQFGsepKCMw\nnYAfjZnOSS0CBAgQIECAAAECBAgQIEBgDgX6wOFqwce+3hxO05AJzJSAgONMnQ6DIUCAAAECBAgQ\nIECAAAECBLZKQFBxq2T1S2BPge//JvyeZbYIECBAgAABAgQIECBAgAABAgQIECCwIQEBxw2xaUSA\nAAECBAgQIECAAAECBAgQIECAwDgBAcdxKsoIECBAgAABAgQIECBAgAABAgQIENiQgIDjhtg0IkCA\nAAECBAgQIECAAAECBAgQIEBgnICA4zgVZQQIECBAgAABAgQIECBAgAABAgQIbEhAwHFDbBoRIECA\nAAECBAgQIECAAAECBAgQIDBOQMBxnIoyAgQIECBAgAABAgQIECBAgAABAgQ2JCDguCE2jQgQIECA\nAAECBAgQIECAAAECBAgQGCcg4DhORRkBAgQIECBAgAABAgQIECBAgAABAhsSEHDcEJtGBAgQIECA\nAAECBAgQIECAAAECBAiMExBwHKeijAABAgQIECBAgAABAgQIECBAgACBDQkIOG6ITSMCBAgQIECA\nAAECBAgQIECAAAECBMYJCDiOU1FGgAABAgQIECBAgAABAgQIECBAgMCGBAQcN8SmEQECBAgQIECA\nAAECBAgQIECAAAEC4wQEHMepKCNAgAABAgQIECBAgAABAgQIECBAYEMCAo4bYtOIAAECBAgQIECA\nAAECBAgQIECAAIFxAgKO41SUESBAgAABAgQIECBAgAABAgQIECCwIQEBxw2xaUSAAAECBAgQIECA\nAAECBA6cwEknndRudKMbrXt90YteNHHQr3zlK9fV33Of+9yJfdlBgMByC2xb7umbPQECBAgQIECA\nAAECBAgQmC+Bb37zm+0zn/lMu+GGG9Y18EMPPbSdccYZE9tceOGFU/dZwc7V+pp4EDsIEFgKAU84\nLsVpNkkCBAgQIECAAAECBAgQWBSBm9zkJu2Tn/xku/e97z3VlI4//vj2pje9qX3lK19p97rXvSa2\nefWrX91e97rXtYMPPnhindp31llntU984hPtQQ960MR6dhAgsNwCB+3+H5H1/ZfIcnuZPQECBAgQ\nIECAAAECBAgQmAmB73znO+3+979/++hHPzpxPDe+8Y3bRz7ykXbqqadOrDPccfLJJ48CmsPyOtaf\n//mftwpgWggQILCagCccV9OxjwABAgQIECBAgAABAgQIzKjAEUcc0d72tre1Sict97nPfdYVbPz2\nt7/dLr/88j26O+igg9pv/dZvtfe+972CjXvI2CBAYJKAgOMkGeUECBAgQIAAAQIECBAgQGDGBW59\n61u3F7zgBRNHWd+1uJ7lFa94RbvyyitXmmzfvr294Q1vaOecc86qH7VeaSBDgACB3QI+Uu1lQIAA\nAQIECBAgQIAAAQIE5ljgqquuare73e1G39E4nMaRRx45emLxsMMOG+7aa/uCCy5oZ555ZrvmmmtG\n+w4//PB23nnnjcr2qqyAAAECqwis7786VunILgIECBAgQIAAAQIECBAgQGD/C1Rg8HnPe97YA3/r\nW99q55577th9fWH9CMwjH/nIlWDjTW960/b+979fsLFHkidAYGoBTzhOTaUiAQIECBAgQIAAAQIE\nCBCYTYF6yvG4445rV1xxxV4DPOWUU9pFF120V3kK/vVf/3X0i9Nf/epXR0W3uMUtRt/XWD8eYyFA\ngMBGBDzhuBE1bQgQIECAAAECBAgQIECAwAwJ1FOOZ5999tgRXXzxxe3d73732H31C9f3u9/9WoKN\nt73tbds//MM/NMHGsVwKCRCYUsATjlNCqUaAAAECBAgQIECAAAECBGZZ4Bvf+EY79thjW/3S9HCp\nX6v+4Ac/uEfxhz70ofbQhz601ceuaznxxBPb+973vnarW91qj3o2CBAgsF4BTziuV0x9AgQIECBA\ngAABAgQIECAwgwJHHXVUe+Yznzl2ZOeff377yEc+srIv38+YYOOd73znVj8aI9i4QiRDgMA+CHjC\ncR/wNCVAgAABAgQIECBAgAABArMk8JWvfKXVx6KvvvrqvYb1mMc8ZvSr0/Xx6srn16h/+qd/uv3N\n3/xNq1+0thAgQGAzBDzhuBmK+iBAgAABAgQIECBAgAABAjMgcMwxx7SnP/3pY0fyjne8o73sZS9r\nj3rUo1aCjQ95yEPae97zHsHGsWIKCRDYqIAnHDcqpx0BAgQIECBAgAABAgQIEJhBgUsvvbTd/va3\nbzt37lx1dI973OPam9/85rZ9+/ZV69lJgACB9Qp4wnG9YuoTIECAAAECBAgQIECAAIEZFrjNbW7T\nnvSkJ606wnoK8i//8i8FG1dVspMAgY0KeMJxo3LaESBAgAABAgQIECBAgACBGRX47Gc/20444YR2\n/fXX7zXC008/vX30ox/dq1wBAQIENkvAE46bJakfAgQIECBAgAABAgQIECAwIwJ3uMMd2mMf+9ix\no/nnf/7n9pnPfGbsPoUECBDYDAEBx81Q1AcBAgQIECBAgAABAgQIEJghgYsuuqidf/75Y0d03XXX\ntXPOOWfsPoUECBDYDAEBx81Q1AcBAgQIECBAgAABAgQIEJgRgY985CPtvve9b/vP//zPiSP6i7/4\ni3bJJZdM3L8/dtxwww3tLW95S3vkIx/Z3vWud+2PQzoGAQL7SUDAcT9BOwwBAgQIECBAgAABAgQI\nENhqgQ9+8IPtgQ98YPv6178+OtSd73zndqMb7X3rX085/t7v/d5WD2di/xVgvNOd7tQe//jHt3e+\n853t2GOPnVjXDgIE5k9g76vO/M3BiAkQIECAAAECBAgQIECAwNIL/N3f/V17yEMe0r7zne+MLO53\nv/uNPlb9qEc9aqzNG9/4xvaFL3xh7L6tKvz7v//7dve737094hGPaPWx71puectbtjve8Y5bdUj9\nEiBwAAQEHA8AukMSIECAAAECBAgQIECAAIHNFHjrW9/aKrB4zTXXjLp90IMe1P72b/+2HX744e03\nf/M3xx5q165d++0pxw9/+MOtAqA1rvrId7+ceeaZ/aY8AQILICDguAAn0RQIECBAgAABAgQIECBA\nYHkFXve6140+mrxz584RQj3lWB9T3rFjx2j7Lne5S7v//e8/Fuj1r399+9KXvjR232YUfvzjH28P\ne9jD2j3vec9WH/cet0wa27i6yggQmA8BAcf5OE9GSYAAAQIECBAgQIAAAQIE9hJ4xSte0Z72tKe1\n66+/frTv4Q9/eHv729/ebnzjG+9R9/nPf/4e29moIOVLXvKSbG5a+qlPfao99rGPbaeffnqrj3rX\nctBBB43tX8BxLItCAnMtIOA416fP4AkQIECAAAECBAgQIEBgWQXOOeecdvbZZ7f6tedaHv3oR7fz\nzjuvHXrooXuRnHHGGe20007bq7wKXvva17bLLrts7L71Fn7+859vT37yk9spp5wyGsutbnWrUUDz\n0ksvbbXvJje5yR5dnnDCCaPvcNyj0AYBAnMvIOA496fQBAgQIECAAAECBAgQIEBg2QTqicUXvvCF\nK9P+2Z/92Xbuuee27du3r5QNM5O+y/F73/te+4M/+INh9Q1t169Ov+lNb2pHH310e/nLX94+97nP\ntRrrrW9963bb2952r2Bofa+jhQCBxRM4aPf/hHz/v0IWb25mRIAAAQIECBAgQIAAAQIEFkqgPjr9\nK7/yK+1Vr3rVyrwqyPfmN7+5HXzwwStl4zLXXXdd+/Ef//F2ySWX7LW7PoJd5fWL0fuy/NEf/VG7\n4oorRj9Uc+SRR+7R1Ve/+tV2zDHH7FH2lre8pT3ucY/bo8wGAQLzL+AJx/k/h2ZAgAABAgQIECBA\ngAABAksgcO21145+HKYPNj70oQ8dPVG4VrCxeKrOU5/61LFS9evWv/3bvz1233oKn/Oc54x++XoY\nbKw+zj///L26us997rNXmQICBOZfQMBx/s+hGRAgQIAAAQIECBAgQIDAggt84xvfaA9+8IPbW9/6\n1pWZ1vcj1va2bdtWytbKVB+Tlvoux09+8pOTdu9z+fBXqk888cR285vffJ/71QEBArMnIOA4e+fE\niAgQIECAAAECBAgQIECAwIpABQHvcY97tA984AMrZZV59rOf3Q477LA9ytbaqO9rnLTUR65/7ud+\nrtUvV2/FMgw43ve+992Kw+iTAIEZEBBwnIGTYAgECBAgQIAAAQIECBAgQGCcwJ/8yZ+0008/vX36\n05/ea/eOHTv2Klur4GUve9mqVT72sY+1X/iFX2irBSZX7WDCzvr+xuHTkwKOE7AUE1gAAQHHBTiJ\npkCAAAECBAgQIECAAAECiyNQTxrWR6Xvdre7tWc961mtvl9x3HLeeee1+qj1Wkv9VuxHP/rR9su/\n/Mvt7W9/+1rV2xve8IZ2r3vdq33hC19Ys+60FXx/47RS6hFYDIHpv+hhMeZrFgQIECBAgAABAgQI\nECBAYKYFzjjjjPb+979/zTHWR6xvdrObtde97nXtrLPOGlu/ftX6+OOPb//+7/8+dv+kwgsvvLD9\n/M///FTjmNRHXz78OLXvb+x15AksnoAnHBfvnJoRAQIECBAgQIAAAQIECMypwHe+8512wQUXTD36\nXbt2tZNOOmli/YsuumjdwcZ0dve73z3ZfU6HAUcfp95nUh0QmGkBTzjO9OkxOAIECBAgQIAAAQIE\nCBBYJoEjjjhiU3+05U53ulOrj1QfyMX3Nx5IfccmcGAEPOF4YNwdlQABAgQIECBAgAABAgQILIWA\n729citNskgT2EBBw3IPDBgECBAgQIECAAAECBAgQILCZAsOPU/v+xs3U1ReB2RQQcJzN82JUBAgQ\nIECAAAECBAgQIEBgIQSGAUff37gQp9UkCKwqIOC4Ko+dBAgQIECAAAECBAgQIECAwEYFfH/jRuW0\nIzDfAgKO833+jJ4AAQIECBAgQIAAAQIECMysgO9vnNlTY2AEtlRAwHFLeXVOgAABAgQIECBAgAAB\nAgSWV2D4cWrf37i8rwUzXy4BAcflOt9mS4AAAQIECBAgQIAAAQIE9pvAMODo+xv3G70DETigAgKO\nB5TfwQkQIECAAAECBAgQIECAwGIK+P7GxTyvZkVgGgEBx2mU1CFAgAABAgQIECBAgAABAgTWJeD7\nG9fFpTKBhRIQcFyo02kyBAgQIECAAAECBAgQIEBgNgSGH6f2/Y2zcV6MgsD+EBBw3B/KjkGAAAEC\nBAgQIECAAAECBJZM4AMf+MAeM77Pfe6zx7YNAgQWV0DAcXHPrZkRIECAAAECBAgQIECAAIEDIvDF\nL36xfepTn9rj2Keddtoe2zYIEFhcAQHHxT23ZkaAAAECBAgQIECAAAECBA6IwJve9Ka9jvsTP/ET\ne5UpIEBgMQUEHBfzvJoVAQIECBAgQIAAAQIECBA4IAL/+I//2F760pfudexLL710rzIFBAgspsC2\nxZyWWREgQIAAAQIECBAgQIAAAQL7S+Dqq69uH//4x9vb3va29prXvKZ9+9vf3uvQv/qrv9qq3gMe\n8IB23HHH7bVfAQECiyNw0A27l8WZjpkQIECAAAECBAgQIECAAAEC+0PggQ98YPvCF77Qvv71r7cr\nr7xyXYc84ogj2lFHHTVa3/e+97Uf/dEfXVd7lQkQmG0BAcfZPj9GR4AAAQIECBAgQIAAAQIEZk7g\nkksuaccff/w+j+uWt7xlu+yyy/a5Hx0QIDBbAgKOs3U+jIYAAQIECBAgQIAAAQIECBAgQIDAXAv4\n0Zi5Pn0GT4AAAQIECBAgQIAAAQIECBAgQGC2BAQcZ+t8GA0BAgQIECBAgAABAgQIECBAgACBuRYQ\ncJzr02fwBAgQIECAAAECBAgQIECAAAECBGZLQMBxts6H0RAgQIAAAQIECBAgQIAAAQIECBCYawEB\nx7k+fQZPgAABAgQIECBAgAABAgQIECBAYLYEBBxn63wYDQECBAgQIECAAAECBAgQIECAAIG5FhBw\nnOvTZ/AECBAgQIAAAQIECBAgQIAAAQIEZktAwHG2zofRECBAgAABAgQIECBAgAABAgQIEJhrAQHH\nuT59Bk+AAAECBAgQIECAAAECBAgQIEBgtgQEHGfrfBgNAQIECBAgQIAAAQIECBAgQIAAgbkWEHCc\n69Nn8AQIECBAgAABAgQIECBAgAABAgRmS0DAcbbOh9EQIECAAAECBAgQIECAAAECBAgQmGsBAce5\nPn0GT4AAAQIECBAgQIAAAQIECBAgQGC2BAQcZ+t8GA0BAgQIECBAgAABAgQIECBAgACBuRYQcJzr\n02fwBAgQIECAAAECBAgQIECAAAECBGZLQMBxts6H0RAgQIAAAQIECBAgQIAAAQIECBCYawEBx7k+\nfQZPgAABAgQIECBAgAABAgQIECBAYLYEBBxn63wYDQECBAgQIECAAAECBAgQIECAAIG5FhBwnOvT\nZ/AECBAgQIAAAQIECBAgQIAAAQIEZktAwHG2zofRECBAgAABAgQIECBAgAABAgQIEJhrAQHHuT59\nBk+AAAECBAgQIECAAAECBAgQIEBgtgQEHGfrfBgNAQIECBAgQIAAAQIECBAgQIAAgbkWEHCc69Nn\n8AQIECBAgAABAgQIECBAgAABAgRmS0DAcbbOh9EQIECAAAECBAgQIECAAAECBAgQmGsBAce5Pn0G\nT4AAAQIECBAgQIAAAQIECBAgQGC2BAQcZ+t8GA0BAgQIECBAgAABAgQIECBAgACBuRYQcJzr02fw\nBAgQIECAAAECBAgQIECAAAECBGZLQMBxts6H0RAgQIAAAQIECBAgQIAAAQIECBCYawEBx7k+fQZP\ngAABAgQIECBAgAABAgQIECBAYLYEBBxn63wYDQECBAgQIECAAAECBAgQIECAAIG5FhBwnOvTZ/AE\nCBAgQIAAAQIECBAgQIAAAQIEZktAwHG2zofRECBAgAABAgQIECBAgAABAgQIEJhrAQHHuT59Bk+A\nAAECBAgQIECAAAECBAgQIEBgtgQEHGfrfBgNAQIECBAgQIAAAQIECBAgQIAAgbkWEHCc69Nn8AQI\nECBAgAABAgQIECBAgAABAgRmS0DAcbbOh9EQIECAAAECBAgQIECAAAECBAgQmGuB/x/AZw1yvISw\nbgAAAABJRU5ErkJggg==\n",
"text/plain": [
"<IPython.core.display.Image object>"
]
},
"execution_count": 30,
"metadata": {
"image/png": {
"width": 400
}
},
"output_type": "execute_result"
}
],
"source": [
"Image(filename='./images/03_20.png', width=400) "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Pros:\n",
"- The classifier immediately adapts as we collect new training data\n",
"\n",
"Cons:\n",
"- Computational complexity grows linearly with the number of samples in the training data in the worst-case\n",
"- Susceptible for overfitting, especially when the input dimension is high (** curse of dimensionality** : for a fixed-size training set, the feature space becomes increasingly sparse as the dimension increases.)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Metrics\n",
"\n",
"- Minkowski distance ($\\ell_p$-norm)\n",
"$$\n",
" d(x^{(i)}, x^{(j)}) = \\left( \\sum_k \\left|x^{(i)}_k - x^{(j)}_k \\right|^p \\right)^{1/p}\n",
"$$\n",
" - $p=2$ : Euclidean distance\n",
" - $p=1$ : Manhattan distance ($\\ell_1$-norm)"
]
},
{
"cell_type": "code",
"execution_count": 53,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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vgEmAB9ql5F+SUtaaw90mApSOmuCr1CAsjIoeDyZNqogqjuL8eShOc6VbRe/J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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1a16975828>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from sklearn.neighbors import KNeighborsClassifier\n",
"\n",
"knn = KNeighborsClassifier(n_neighbors=2, p=2, metric='minkowski')\n",
"knn.fit(X_train_std, y_train)\n",
"\n",
"plot_decision_regions(X_combined_std, y_combined, \n",
" classifier=knn, test_idx=range(105, 150))\n",
"\n",
"plt.xlabel('petal length [standardized]')\n",
"plt.ylabel('petal width [standardized]')\n",
"plt.legend(loc='upper left')\n",
"plt.tight_layout()\n",
"# plt.savefig('./figures/k_nearest_neighbors.png', dpi=300)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The right choice of $k$ is critical, to find a good balance between over- and underfitting"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"<br>\n",
"<br>"
]
}
],
"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": "3.6.2"
}
},
"nbformat": 4,
"nbformat_minor": 1
}
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