{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Classification of Wines"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"In this notebook we will apply different classification algorithms to a [dataset of wines](https://archive.ics.uci.edu/ml/datasets/wine) which contains 178 wines from three different cultivars along with their chemical composition which is specified in terms of 13 constituents.\n",
"\n",
"We will train six different classification alorighms implemented in `scikit-learn` (perceptron, logistic regression, support vector machines, decision trees, random forests, and k-nearest neighbors) on the data, with the three cultivars being the class labels. In order to be able to visualize the training and test set as well as the models, we will reduce the dimensionality of the features from 13 to 2 using principal coponent analysis (PCA)."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
""
],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from IPython.core.display import display, HTML\n",
"display(HTML(\"\"))"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"import numpy as np\n",
"import pandas as pd\n",
"import matplotlib.pyplot as plt\n",
"\n",
"from sklearn.decomposition import PCA\n",
"from sklearn.model_selection import train_test_split\n",
"from sklearn.preprocessing import StandardScaler\n",
"from sklearn.model_selection import cross_val_score\n",
"from sklearn.model_selection import validation_curve\n",
"from sklearn.pipeline import Pipeline\n",
"from sklearn.model_selection import GridSearchCV\n",
"from sklearn.metrics import accuracy_score\n",
"\n",
"from sklearn.linear_model import Perceptron\n",
"from sklearn.linear_model import LogisticRegression\n",
"from sklearn.svm import SVC\n",
"from sklearn.tree import DecisionTreeClassifier\n",
"from sklearn.ensemble import RandomForestClassifier\n",
"from sklearn.neighbors import KNeighborsClassifier"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"First we load the dataset which is available on the website of UC Irvine and add the appropriate column labels."
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" Class label | \n",
" Alcohol | \n",
" Malic acid | \n",
" Ash | \n",
" Alcalinity of ash | \n",
" Magnesium | \n",
" Total phenols | \n",
" Flavanoids | \n",
" Nonflavanoid phenols | \n",
" Proanthocyanins | \n",
" Color intensity | \n",
" Hue | \n",
" OD280/OD315 of diluted wines | \n",
" Proline | \n",
"
\n",
" \n",
" \n",
" \n",
" 0 | \n",
" 1 | \n",
" 14.23 | \n",
" 1.71 | \n",
" 2.43 | \n",
" 15.6 | \n",
" 127 | \n",
" 2.80 | \n",
" 3.06 | \n",
" 0.28 | \n",
" 2.29 | \n",
" 5.64 | \n",
" 1.04 | \n",
" 3.92 | \n",
" 1065 | \n",
"
\n",
" \n",
" 1 | \n",
" 1 | \n",
" 13.20 | \n",
" 1.78 | \n",
" 2.14 | \n",
" 11.2 | \n",
" 100 | \n",
" 2.65 | \n",
" 2.76 | \n",
" 0.26 | \n",
" 1.28 | \n",
" 4.38 | \n",
" 1.05 | \n",
" 3.40 | \n",
" 1050 | \n",
"
\n",
" \n",
" 2 | \n",
" 1 | \n",
" 13.16 | \n",
" 2.36 | \n",
" 2.67 | \n",
" 18.6 | \n",
" 101 | \n",
" 2.80 | \n",
" 3.24 | \n",
" 0.30 | \n",
" 2.81 | \n",
" 5.68 | \n",
" 1.03 | \n",
" 3.17 | \n",
" 1185 | \n",
"
\n",
" \n",
" 3 | \n",
" 1 | \n",
" 14.37 | \n",
" 1.95 | \n",
" 2.50 | \n",
" 16.8 | \n",
" 113 | \n",
" 3.85 | \n",
" 3.49 | \n",
" 0.24 | \n",
" 2.18 | \n",
" 7.80 | \n",
" 0.86 | \n",
" 3.45 | \n",
" 1480 | \n",
"
\n",
" \n",
" 4 | \n",
" 1 | \n",
" 13.24 | \n",
" 2.59 | \n",
" 2.87 | \n",
" 21.0 | \n",
" 118 | \n",
" 2.80 | \n",
" 2.69 | \n",
" 0.39 | \n",
" 1.82 | \n",
" 4.32 | \n",
" 1.04 | \n",
" 2.93 | \n",
" 735 | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" Class label Alcohol Malic acid Ash Alcalinity of ash Magnesium \\\n",
"0 1 14.23 1.71 2.43 15.6 127 \n",
"1 1 13.20 1.78 2.14 11.2 100 \n",
"2 1 13.16 2.36 2.67 18.6 101 \n",
"3 1 14.37 1.95 2.50 16.8 113 \n",
"4 1 13.24 2.59 2.87 21.0 118 \n",
"\n",
" Total phenols Flavanoids Nonflavanoid phenols Proanthocyanins \\\n",
"0 2.80 3.06 0.28 2.29 \n",
"1 2.65 2.76 0.26 1.28 \n",
"2 2.80 3.24 0.30 2.81 \n",
"3 3.85 3.49 0.24 2.18 \n",
"4 2.80 2.69 0.39 1.82 \n",
"\n",
" Color intensity Hue OD280/OD315 of diluted wines Proline \n",
"0 5.64 1.04 3.92 1065 \n",
"1 4.38 1.05 3.40 1050 \n",
"2 5.68 1.03 3.17 1185 \n",
"3 7.80 0.86 3.45 1480 \n",
"4 4.32 1.04 2.93 735 "
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df_wine = pd.read_csv('https://archive.ics.uci.edu/'\n",
" 'ml/machine-learning-databases/wine/wine.data', header=None)\n",
"\n",
"df_wine.columns = ['Class label', 'Alcohol', 'Malic acid', 'Ash',\n",
" 'Alcalinity of ash', 'Magnesium', 'Total phenols',\n",
" 'Flavanoids', 'Nonflavanoid phenols', 'Proanthocyanins',\n",
" 'Color intensity', 'Hue', 'OD280/OD315 of diluted wines',\n",
" 'Proline']\n",
"\n",
"df_wine.head()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Train-Test Splitting and Standardization"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"First, we split the 178 samples into a training and a test set, with the training set making up 70% of the samples."
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# Separate features (X) and class labels (y)\n",
"X, y = df_wine.iloc[:,1:].values, df_wine.iloc[:,0].values\n",
"# Split dataset into training and test set\n",
"X_train, X_test, y_train, y_test = \\\n",
" train_test_split(X, y, test_size=0.3, random_state=0)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Next, we standardize the features to make them suitable for some of the algorithms such as logistic regression. The standardized features are stored in `X_train_std` and `X_test_std`."
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# Standardize features\n",
"std = StandardScaler()\n",
"X_train_std = std.fit_transform(X_train)\n",
"X_test_std = std.transform(X_test)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We will now take a quick look at the data to make sure there are no features with strong outliers. It doesn't look that way."
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
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CjB07tt19JElSz1E+tVMtVDI91MMPP8xHP/rRresrVqzgC1/4Auedd15Nc2lPRcVURPSj\nVEhdn5m3FJvXRsTQzFwTEUOBdV2VpCRJ0o68/e1vZ9myZQBs3ryZYcOGcdJJJ9UldiVX8wVwNbA8\nM79W9tTtwJRieQpwW+3TkyRJ2jkLFy5k3333ZZ996nMn9kp6pt4H/D3w64hYVmz7HHAxcGNETAMe\nB07pmhQlSZIqd8MNNzB58uS6xeuwmMrMnwGxnaePrm06vcSiWa8uT7iwcXlIUm/m3+Ie6aWXXuL2\n229n1qxZHe9cI94BXZIk9Rg/+tGPOPjgg9lrr3ZvMtAlLKYkSVKPMXfu3Lqe4gMnOpYkSTVWya0M\nusKzzz7LggUL+Pa3v13XuBZTkiSpR9hll13YsGFD3eN6mk+SJKkKvbJnqnyambZqOu3MovpdSaD6\nWXzHim3WD/vQqJoev3yamM68pjdMLVN+d+VGnU6Qtmf2stmNTkF1Zs+UJElSFSymJEmSqmAxJUmS\nVAWLKUmSpCr0ygHoO1I+OL2mg9ElNbUVKy5rdArdRtuLeDr7t7Kmf2+dGqZbqfX3ZdSoGRXtd+ml\nl/Kd73yHiOCd73wn1157LQMGDKhpLu2xZ0qSJDW91atX841vfIMlS5bQ2trK5s2bueGGG+oS22JK\nkiT1CJs2beL5559n06ZNPPfcc7z1rW+tS1yLKUmS1PSGDRvGZz7zGYYPH87QoUPZbbfdOOaYY+oS\n22JKkiQ1vaeeeorbbruNxx57jD/84Q88++yzfPe7361L7F4zAH1Hdz1Xfa2//IpGp6Au9OcFjwOw\n28R9GpyJtBMcwN70fvrTnzJy5EgGDx4MwIc//GHuvfdeTj/99C6P3WHPVERcExHrIqK1bNtFEbE6\nIpYVj+O6Nk1JkqTtGz58OL/85S957rnnyEwWLlzI6NGj6xK7kp6p64ArgP/TZvulmfkvNc9IkiQ1\ntUpvZVBL48aNY9KkSRx88MH07duXgw46iOnTp9cldofFVGbeHREjuj4VSZKkzps5cyYzZ86se9xq\nBqCfExEPFacB31yzjCRJkppIZweg/yvwT0AWP78KTG1vx4iYDkyH0vlMNa/Zy2a/ZtvZY86uaw5t\nB68PPvecusZX+7YMOq+1RYsWdclxVT9e/KPeoFM9U5m5NjM3Z+YrwFXAYTvY98rMHJuZY7eMsJck\nSeopOlVMRcTQstWTgNbt7StJktSTdXiaLyLmAkcCe0bEKuDzwJERMYbSab6VwFldmKMkSVK3VcnV\nfJPb2Xx1F+QiSZLUdHrUHdAd6ChJUuNd8tiamh7v/JFDO94JuOyyy7jqqqvITD7xiU9w3nnn1TSP\n7XFuPkmS1PRaW1u56qqrWLx4MQ8++CDz5s3j0UcfrUtsiylJktT0li9fzrhx43jjG99I3759+Zu/\n+RtuueWWusS2mJIkSU3vwAMP5J577mHDhg0899xz/PCHP+SJJ56oS+weNWZKkiT1TqNHj+azn/0s\nxxxzDLvssgtjxoyhT58+dYltMSU1kXtvur7RKWyjq+58rubixT87r3xGiXrPJNGTTZs2jWnTpgHw\nuc99jpaWlrrEtZiSJEk9wrp16xgyZAi///3vueWWW/jlL39Zl7gWU5IkqaYqvZVBrZ188sls2LCB\nfv368c1vfpNBgwbVJa7FlCRJ6hHuueeehsT1aj5JkqQqWExJkiRVwdN8PVz5FSNSNcqv3Ntt4j4N\nzKS5rFhx2Tbro0bNqGv88mk9GjWOpeksmlX6OeHCxuahpmHPlCRJUhUspiRJkqpgMSVJklQFx0xJ\nkqSaqvVd8T81cf8O95k6dSrz5s1jyJAhtLa2AvCnP/2Jj370o6xcuZIRI0Zw44038uY3v7mmuYE9\nU93XolmvPiSpcMlja7Y+6vladb3Zy2ZvfWjnnXHGGcyfP3+bbRdffDFHH300jzzyCEcffTQXX3xx\nl8TusJiKiGsiYl1EtJZt2z0iFkTEI8XP2pd5kiRJFRo/fjy77777Nttuu+02pkyZAsCUKVP4/ve/\n3yWxK+mZug44ts22C4CFmfk2YGGxLkmS1G2sXbuWoUNLtwR5y1vewtq1a7skTofFVGbeDfypzeYT\ngDnF8hzgxBrnJUmSVDMRQUR0ybE7O2Zqr8zcctL9j8BeNcpHkiSpJvbaay/WrCmVK2vWrGHIkCFd\nEqfqq/kyMyMit/d8REwHpgMMHz682nB1VX41QiVXEkh61ZY7pneHu6UvWrRo6/KECRMamIlqzot0\ntAPHH388c+bM4YILLmDOnDmccMIJXRKns8XU2ogYmplrImIosG57O2bmlcCVAGPHjt1u0SVJknqG\nRnRATJ48mbvuuosnn3ySlpYWZs6cyQUXXMApp5zC1VdfzT777MONN97YJbE7W0zdDkwBLi5+3laz\njCRJknbS3Llz292+cOHCLo9dya0R5gK/AN4eEasiYhqlImpiRDwC/D/FuiRJUq/TYc9UZk7ezlNH\n1zgXSZKkpuN0Mt3J9gZSlm+fcGF9clGvt2UA+c4+V2/lg8sr2a5eoL2/pd34b6d3PG9+TicjSZJU\nBYspSZKkKlhMSZIkVcExU5IkqbZqfTPVCsa8TZ06lXnz5jFkyBBaW1sBuOmmm7joootYvnw5ixcv\nZuzYsbXNq2Axpaa2/vIrti4PPvecBmYiNZdLHluzdfn8kUMbmElJ+YwT0AU3fWyyO6Vvb1D62WPO\nrnMmzeOMM87gnHPO4WMf+9jWbQceeCC33HILZ511VpfGtpiSJElNb/z48axcuXKbbaNHj65LbMdM\nSZIkVcFiSpIkqQoWU5IkSVWwmJIkSaqCA9AbrcmuMFH3d+9N12+z/t6PnNagTErKp57ZbeI+DcxE\nUt00YPqeyZMnc9ddd/Hkk0/S0tLCzJkz2X333Tn33HNZv349H/jABxgzZgw//vGPax7bYkqSJDW9\nuXPntrv9pJNO6vLYnuaTJEmqgsWUJElSFSymJEmSqtD0Y6baTkHQ45UPWG/AAD+pqy1atKghsSZM\nmLDNcytWXFaXHMrjjBo1oy4xO9LdppqRuruqiqmIWAk8DWwGNmVm18wgKEmS1E3VomdqQmY+WYPj\nSJIkNZ2mP80nSZK6l9nLZtf0eGePObvDfaZOncq8efMYMmQIra2tAJx//vnccccd9O/fn3333Zdr\nr72WQYMG1TQ3qH4AegI/iYj7I2J6LRKSJEnaWWeccQbz58/fZtvEiRNpbW3loYceYv/992fWrK65\nUXa1PVNHZObqiBgCLIiI/8rMu8t3KIqs6QDDhw+vMpyawfrLr9hmffC55zQok/pYfMeKbdYP+9Co\nBmWiZlCvge07o3zAudSsxo8fz8qVK7fZdswxx2xdPvzww7n55pu7JHZVPVOZubr4uQ64FTisnX2u\nzMyxmTl28ODB1YSTJEnqlGuuuYb3v//9XXLsThdTEbFLRAzcsgwcA7TWKjFJkqRa+OIXv0jfvn05\n7bSumau0mtN8ewG3RsSW4/x7Zs7f8UskSZLq57rrrmPevHksXLiQomapuU4XU5m5Anh3DXORJEmq\nmfnz5/OVr3yF//zP/+SNb3xjl8Xx1ggVKr/T+qcm7t/ATNTdtR2QDu0PSr/3puvrkY7aqOcd1tV5\n/s3t2JbbD1Ry24B6a0ROkydP5q677uLJJ5+kpaWFmTNnMmvWLF588UUmTpwIlAahf+tb36p5bIsp\nSZLU9ObOnfuabdOmTatLbCc6liRJqoLFlCRJUhUspiRJUtUys9EpdFq1uTtmqqdYVLpF/uyND8HI\nv25wMt1TewPDJamZ1HrOu1oZMGAAGzZsYI899uiy2w90lcxkw4YNDBgwoNPHsJiSJElVaWlpYdWq\nVaxfv77RqXTKgAEDaGlp6fTrLaYkSVJV+vXrx8iRIxudRsM4ZkqSJKkKFlOSJElV8DRfE5t96+RG\np1CR9Zdf0T3ijDiuLnm0p+3g9/buiF4P5Xddf+9HumbCT9XOihWXbbM+atSMBmXSSxUX9gAw4cLG\n5aFuz54pSZKkKlhMSZIkVcFiSpIkqQoWU5IkSVWwmJIkSapCU17Nd+mC3zU6hbqbvfGhRqfQrvam\nNhjxx19ts37oWw6tVzpNY/EdK1j98FM73GfY299ck1jlV/Cpe2t79V53cMlja7Yunz9yaAMzeVX5\nvwGfasp/xdTTVNUzFRHHRsTDEfFoRFxQq6QkSZKaRaeLqYjoA3wTeD9wADA5Ig6oVWKSJEnNoJqe\nqcOARzNzRWa+BNwAnFCbtCRJkppDNcXUMOCJsvVVxTZJkqReIzKzcy+MmAQcm5lnFut/D4zLzHPa\n7DcdmF6svh14uPPp1tSewJONTqIbsl1eyzZpn+3SPtulfbbLa9km7etO7bJPZg7uaKdqroNYDexd\ntt5SbNtGZl4JXFlFnC4REUsyc2yj8+hubJfXsk3aZ7u0z3Zpn+3yWrZJ+5qxXao5zfcr4G0RMTIi\n+gOnArfXJi1JkqTm0OmeqczcFBHnAD8G+gDXZOZvapaZJElSE6jqdmeZ+UPghzXKpd663anHbsJ2\neS3bpH22S/tsl/bZLq9lm7Sv6dql0wPQJUmS5Nx8kiRJVel1xZRT4JRExDURsS4iWsu27R4RCyLi\nkeJnbSaHayIRsXdELIqI30bEbyJiRrG9V7dNRAyIiMUR8WDRLjOL7SMj4r7i+/S94mKUXiUi+kTE\nAxExr1i3TSJWRsSvI2JZRCwptvXq7xBARAyKiJsj4r8iYnlEvKe3t0tEvL34nGx5/CUizmu2dulV\nxZRT4GzjOuDYNtsuABZm5tuAhcV6b7MJ+IfMPAA4HPhk8Rnp7W3zInBUZr4bGAMcGxGHA18GLs3M\n/YCngGkNzLFRZgDLy9Ztk5IJmTmm7BL33v4dArgMmJ+Z7wDeTelz06vbJTMfLj4nY4BDgOeAW2my\ndulVxRROgbNVZt4N/KnN5hOAOcXyHODEuibVDWTmmsxcWiw/TemP3TB6edtkyTPFar/ikcBRwM3F\n9l7XLhHRAnwA+E6xHvTyNtmBXv0diojdgPHA1QCZ+VJmbqSXt0sbRwP/nZmP02Tt0tuKKafA2bG9\nMnNNsfxHYK9GJtNoETECOAi4D9tmy+msZcA6YAHw38DGzNxU7NIbv09fB/4ReKVY3wPbBEqF9k8i\n4v5iFgzwOzQSWA9cW5wW/k5E7ILtUu5UYG6x3FTt0tuKKVUoS5d59tpLPSNiV+A/gPMy8y/lz/XW\ntsnMzUVXfAulXt53NDilhoqIDwLrMvP+RufSDR2RmQdTGlLxyYgYX/5kL/0O9QUOBv41Mw8CnqXN\nqate2i4AFGMLjwduavtcM7RLbyumKpoCpxdbGxFDAYqf6xqcT0NERD9KhdT1mXlLsdm2KRSnJhYB\n7wEGRcSW+9X1tu/T+4DjI2IlpSEDR1EaE9Ob2wSAzFxd/FxHafzLYfgdWgWsysz7ivWbKRVXvb1d\ntng/sDQz1xbrTdUuva2YcgqcHbsdmFIsTwFua2AuDVGMebkaWJ6ZXyt7qle3TUQMjohBxfIbgImU\nxpMtAiYVu/WqdsnMCzOzJTNHUPpbcmdmnkYvbhOAiNglIgZuWQaOAVrp5d+hzPwj8EREvL3YdDTw\nW3p5u5SZzKun+KDJ2qXX3bQzIo6jNM5hyxQ4X2xwSg0REXOBIynNzr0W+DzwfeBGYDjwOHBKZrYd\npN6jRcQRwD3Ar3l1HMznKI2b6rVtExHvojQItA+l/4TdmJlfiIhRlHpldgceAE7PzBcbl2ljRMSR\nwGcy84O9vU2K939rsdoX+PfM/GJE7EEv/g4BRMQYShcr9AdWAB+n+D7Ru9tlF+D3wKjM/HOxrak+\nL72umJIkSaql3naaT5IkqaYspiRJkqpgMSVJklQFiylJkqQqWExJkiRVwWJKkiSpChZT0k6KiM0R\nsazsMaITxxgUEWfXPrvOiYgzIuKKLo7x9bbTirR5/sSIOKCG8a6LiEkd77nDYzxT/HxrRNzc0f4V\nHO+iiPhMtcep9rjFTVjvK+aI++uI+EhELI+IRZ2I/bmy5f4RcXfZHeClXsFiStp5z2fmmLLHyk4c\nYxCw08VURPTpRKyGK27Ad3hm3r2D3U4EalZM7awdFQCZ+YfMrKow62aOBn6dmQdl5j3ANOATmTmh\nE8faWkzn/jnRAAAG9ElEQVRl5kvAQuCjtUlTag4WU1INRESfiLgkIn4VEQ9FxFnF9l0jYmFELI2I\nX0fECcVLLgb2LXq2LomIIyNiXtnxroiIM4rllRHx5YhYCnwkIvaNiPkRcX9E3BMR72iTy+uK1wwq\n2/ZIROwVER8q65H4aUS8Zib2tj06W3pniuXzy97jzGLbLhHxg4h4MCJaI6K9f0hPBuaXHefiiPht\ncZx/iYj3Uprk9JKiTfaNiE8UsR6MiP+IiDeW5feNiLg3IlZsyTVKroiIhyPip8CQsnj/uzhWa0Rc\nGRFRbL+r6DFbAsyI0lRTvyh+V/9c9voREdFaLH+nrFdyfUR8fnttU2z/nxHxu4j4GbBlKpG2bd7u\n76XocbqmyHNFRPx/O3ncERFxZ5HTwogYHqW7cH8FOKF4D58HjgCuLj6LfxURi4vnHoqItxXHOr1s\n+7ej9Jm/GHhDse36Iuz3gdPay0fqsTLThw8fO/EANgPLisetxbbpwP8qll8PLAFGUppO403F9j2B\nR4EARgCtZcc8EphXtn4FcEaxvBL4x7LnFgJvK5bHUZoTrm2OlwEfL9vnp8Xym3l15oMzga8Wy2cA\nVxTL1wGTyo71TPHzGODKIv/XAfOA8ZQKpavK9t+tnXzmAB8qlvcAHi7LY9B24u5RtvzPwLll+91U\n5HAA8Gix/cPAAkpT3rwV2LjleMDuZcf6t7Jc7gJmlz13O/CxYvmTZe99m99XsW0fSvMT7rODtjmE\n0tREbwTeVPz+P9NO+2zv93IRcC+lz9SewAag304c9w5gSrE8Ffh+2993WTuMLZYvB04rlvsDbwBG\nF8fqV2yfXdZOz7SJ2QdY3+jvqQ8f9Xx4Xlvaec9n5pg2244B3lXWo7Mb8DZKM8V/KUpjhV4BhgGv\n6Q2qwPeg1NMFvBe4qehcgdI/tO3t/7+BaylNwvu9YnsL8L0ozcLeH3hsJ3I4png8UKzvSuk93gN8\nNSK+TKkgvKed1w4F1hfLfwZeoNQTMo9S4dGeA4veoUFFrB+XPff9zHwF+G1Z79p4YG5mbgb+EBF3\nlu0/ISL+kVLxsTvwG0rFAbzaNgDvo1QcQqno+nJ7iUXEAEoF3bmZ+XhEnEv7bTOQUsH9XPG67U2s\nvqPfyw+yNLffixGxjtLn568rPO57KBWZW97PV7azX7lfAP8zIlqAWzLzkYg4mlIB96vic/cGYF17\nL87MzRHxUkQMzMynK4gnNT2LKak2gtI/rD/eZmPpVN1g4JDMfDkiVgID2nn9JrY97d52n2eLn68D\nNrZTzLX1C2C/iBhMaSzSllNWlwNfy8zbozQ570U7yiUiXkfpH3covcdZmfntti+IiIOB44B/joiF\nmfmFNrs8v+U9ZeamiDiM0ridScA5wFHt5HEdcGJmPli045Flz5VPHBzsQFH4zKbU8/JERFzEtu37\nbJuXVDJh6bcoFRo/LcvhNW0TEedVcCzY8e+l/L1upov/bmfmv0fEfcAHgB9G6ZR1AHMy88IKD/N6\nSgWz1Cs4ZkqqjR8D/yMi+gFExP5Rmgl9N2BdUUhNoHRKCOBpSr0WWzwOHBARr4/SWKej2wuSmX8B\nHouIjxRxIiLe3c5+CdwKfA1Ynpkbiqd2A1YXy1O2815WUuqFgNI4pn5l73Fq0TtGRAyLiCER8Vbg\nucz8LnAJcHA7x1wO7Fe8bldKpwJ/CHwK2JJ/2zYZCKwp2rSSMTh3Ax8txvIMBbYMpt5SOD1ZxN7R\nQPKfU+rJY3sxI+KTwMDMvLhsc7ttU+R0YkS8ISIGAh/aTtxKfi/lKj3uvW3eT3u9htuIiFHAisz8\nBnAb8C5Kp5YnFe+JiNg9IrZ8ll/e8rkvntsDeDIzX67gfUg9gj1TUm18h9K4mqVROg+ynlKP0PXA\nHRHxa0rjqP4LIDM3RMTPi0HNP8rM8yPiRqCV0imeB9qJscVpwL9GxP+iVOjcADzYzn7fA35FaXzM\nFhdROkX4FHAnpXFdbV0F3BYRD1IaNP5skfNPImI08IviVM8zwOmUiqRLIuIV4GXgf7RzzB8AZxXt\nNLA4/gBKPR6fLva5AbiqGGQ9Cfj/gfsoteV9bFtotedWSj1cvwV+T6l3jszcGBFXUWrbPxZtsj0z\ngH+PiM9SKiTa8xlKBcSyYv1bmfmt9tomM5dGxPco/X7W7SD2RXT8e9lqJ457LnBtRJxPqR0/vqPj\nFk4B/j4iXqbUXl/KzD8Vn7efFL2VL1MaU/Y4pbFiD0XE0sw8jVIR+4MK4kg9xpYBj5LUpYqrzj6Y\nmRsbnYu6TkTcAlyQmb9rdC5SvXiaT1K9/AMwvNFJqOtERH9KFwdYSKlXsWdKkiSpCvZMSZIkVcFi\nSpIkqQoWU5IkSVWwmJIkSaqCxZQkSVIV/i+eOqA/HMe9XQAAAABJRU5ErkJggg==\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(10,4))\n",
"for i in range(13):\n",
" plt.hist(X_train_std[:,i]+5*i, alpha=0.5, label=str(i))\n",
"plt.xlabel('Feature values (standardized and offset)')\n",
"plt.xlim(-5,75)\n",
"plt.legend()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Dimensionality Reduction with Principal Component Analysis"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We want to be able to visualize how well the different models reproduce the training data and how well they predict the test data. To be able to do so, we use principal component analysis to reduce the dimensionality of the features from 13 to 2. The two principal components are stored in `X_train_pca` and `X_test_pca`. The two stronges principal components still account for 56% of the information."
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([ 0.37329648, 0.18818926])"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Principal Component Analysis\n",
"pca = PCA(n_components=2)\n",
"X_train_pca = pca.fit_transform(X_train_std)\n",
"X_test_pca = pca.transform(X_test_std)\n",
"pca.explained_variance_ratio_"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Having reduced the dimensionality of the features, we can plot the three different classes of wine in a two-dimensional plot where the color represents the class label (the following plot shows the training set)."
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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MScl0+4alptI7JZXA48dV01EBY29CuOctl0KIb+3ZpjyYdDodZcuWva9koGma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\nVEJQFEVRnFRCUBRFUQD4P87Zo6SxNiXpAAAAAElFTkSuQmCC\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.scatter(X_train_pca[:,0], X_train_pca[:,1], \n",
" c=y_train, cmap='brg', edgecolor='black', alpha=0.8)\n",
"plt.xlabel('PCA component 1')\n",
"plt.ylabel('PCA component 2')\n",
"plt.title('Principal Component Analysis')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can see that the three classes of wine well separated even in this two-dimensional space. We can now proceed to training the classification models.\n",
"\n",
"After employing the different classification algorithms, we will want to compare their respective accuracy scores on the test set. We will save the different scores in a dictionary:"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"cv_scores = {}"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Functions to Plot Trained Models and Validation Curves"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"When training the classifiers, we will want to plot the respective models in the two-dimensional feature space. The following function visualizes a given, trained classification model (passed in `est`) by plotting the predicted class label as a color-coded area and overlaying it with the color-coded training and test set, respectively, in two plots. It also prints the cross-validation score of the model on the training set."
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def classifier_plot(name, est):\n",
" cmap = 'brg' # used colormap\n",
" X_dat = X_train_pca # two-dimensional training features\n",
" X_dat_test = X_test_pca # two-dimensional test features\n",
" y_dat = y_train # taining class labels\n",
" y_dat_test = y_test # test class labels\n",
" \n",
" fig, ax = plt.subplots(1,2, figsize=(12,4))\n",
" \n",
" # Determine minima and maxima of entire dataset \n",
" # (training and test sets)\n",
" x_min = np.concatenate((X_dat[:,0], X_dat_test[:,0])).min() - 0.5\n",
" x_max = np.concatenate((X_dat[:,0], X_dat_test[:,0])).max() + 0.5\n",
" y_min = np.concatenate((X_dat[:,1], X_dat_test[:,1])).min() - 0.5\n",
" y_max = np.concatenate((X_dat[:,1], X_dat_test[:,1])).max() + 0.5\n",
" \n",
" # Plot estimator prediction as contour plot\n",
" grid_x, grid_y = np.meshgrid(np.arange(x_min, x_max, 0.01), \n",
" np.arange(y_min, y_max, 0.01))\n",
" grid_class = est.predict(np.array([grid_x.ravel(), \n",
" grid_y.ravel()]).T)\n",
" grid_class = grid_class.reshape(grid_x.shape)\n",
" ax[0].contourf(grid_x, grid_y, grid_class, alpha=0.2, cmap=cmap)\n",
" ax[1].contourf(grid_x, grid_y, grid_class, alpha=0.2, cmap=cmap)\n",
"\n",
" # Plot training data (left plot)\n",
" ax[0].scatter(X_dat[:,0], X_dat[:,1], \n",
" c=y_dat, cmap=cmap, edgecolor='black', alpha=0.8)\n",
" ax[0].set_xlabel('PCA component 1')\n",
" ax[0].set_ylabel('PCA component 2')\n",
" ax[0].set_title(name+' (Training Set)')\n",
"\n",
" # Plot test data (right plot)\n",
" ax[1].scatter(X_dat_test[:,0], X_dat_test[:,1], c=y_dat_test, cmap=cmap, edgecolor='black', alpha=0.8)\n",
" ax[1].set_xlabel('PCA component 1')\n",
" ax[1].set_ylabel('PCA component 2')\n",
" ax[1].set_title(name+' (Test Set)')\n",
" plt.show()\n",
" \n",
" # Print cross validation score\n",
" cv = cross_val_score(estimator=est, X=X_dat, y=y_dat, cv=10)\n",
" print('Cross-validation score: %.3f +/- %.3f' % (cv.mean(), cv.std()) )"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The following function plots a validation curve, i.e. the scores on the training and test sets as a function of a given parameter."
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [],
"source": [
"def validation_curve_plot(est, param_name, param_range, log_scale=False):\n",
" train_scores, test_scores = validation_curve(\n",
" estimator=est, \n",
" X=X_train_pca, \n",
" y=y_train, \n",
" param_name=param_name, \n",
" param_range=param_range,\n",
" cv=10)\n",
"\n",
" train_mean = np.mean(train_scores, axis=1)\n",
" test_mean = np.mean(test_scores, axis=1)\n",
"\n",
" plt.plot(param_range, train_mean, label='training scores')\n",
" plt.plot(param_range, test_mean, label='validation scores')\n",
"\n",
" if log_scale==True:\n",
" plt.xscale('log')\n",
" plt.grid()\n",
" plt.xlabel('Parameter: '+param_name)\n",
" plt.ylabel('Accuracy')\n",
" plt.legend()\n",
" plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Perceptron"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The first classifier that we will investigate is the perceptron algorithm, implemented in `scikit-learn` as `Perceptron`. We will train it on the training set with reduced dimensionality:"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Perceptron(alpha=0.0001, class_weight=None, eta0=0.1, fit_intercept=True,\n",
" max_iter=101, n_iter=None, n_jobs=1, penalty=None, random_state=0,\n",
" shuffle=True, tol=None, verbose=0, warm_start=False)"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"ppn = Perceptron(max_iter=101, eta0=0.1)\n",
"ppn.fit(X_train_pca, y_train)"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"data": {
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QSinlTZq3lVLqbF6dgCgidhHZCJwAfjTG/JnNPveKyFoRWXsyKqrog1RKKXXG+fK25myl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I+Oe4KKFarw4H0P8M+n7+RkWncsv5ewsM/ofdXFtGje/rz3vvbqQYSHh/Pu+6M5fvx3atWsy/Ch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\n6Nql9ln61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"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Cross-validation score: 0.961 +/- 0.052\n"
]
}
],
"source": [
"classifier_plot('Perceptron', ppn)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Using the above function `classifier_plot`, we can visualize how the perceptron algorithm performs on our dataset. Even after 100 iterations, there are still several samples in the training set that the model doesn't classify correctly. This is because the classes cannot be seprated perfectly by a linear model and the perceptron cannot converge under these circumstances. This becomes clear from a validation curve as a function of iterations. The accuracy oscillates heavily as the model keeps changing in each iteration."
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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3c+P6ZrqjbgYW1Cx3646bCfwctq2yUWfvpDkxR8rhz/W7EdmspL83jdPp5E/f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jAAAb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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"validation_curve_plot(ppn, 'max_iter', np.arange(1,101,1))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can now proceed and predict the class labels of the unseen test set. With the model trained with 101 iterations, we obtain an accuracy of 93%."
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.92592592592592593"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"y_pred = ppn.predict(X_test_pca)\n",
"cv_scores['ppn']=accuracy_score(y_test, y_pred)\n",
"accuracy_score(y_test, y_pred)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Logistic Regression"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The second classification algorithm we use is logistic regression, as implemented in `scikit-learn`'s `LogisticRegression`."
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"LogisticRegression(C=0.1, class_weight=None, dual=False, fit_intercept=True,\n",
" intercept_scaling=1, max_iter=100, multi_class='ovr', n_jobs=1,\n",
" penalty='l1', random_state=0, solver='liblinear', tol=0.0001,\n",
" verbose=0, warm_start=False)"
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Logistic Regression\n",
"lr = LogisticRegression(C=0.1, random_state=0, penalty='l1')\n",
"lr.fit(X_train_pca, y_train)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"To fine-tune this model, we use a grid search to optimize the regularization (L1 vs. L2) and the inverse regularization strength `C`. The best model uses L1-regularization and `C=0.1`."
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"{'C': 0.10000000000000001, 'penalty': 'l1'}"
]
},
"execution_count": 17,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"param_grid = [{'C': np.logspace(-3,3,7),\n",
" 'penalty': ['l1','l2'] }]\n",
"\n",
"gs = GridSearchCV(estimator=lr, param_grid=param_grid, \n",
" scoring='accuracy', cv=10)\n",
"gs = gs.fit(X_train_pca, y_train)\n",
"gs.best_params_"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"As we can see in the below plot, the logistic regression model has no problems classifying the data as far as this is possible given the intersecting datapoints."
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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uXUpEpYpc3vcyOjRvkWOffuf35OZvp/Jx3FEGhoSQbFl8kJbOOeeeR70aNfnX\nduIUswSbEB2kuVf5sJgWkVrA50BVPNO8xhtj3vZVPKp0O3AklikzprNx7WrCKlZipdPJjsxM/kpL\n44eEBBLcbo44HLxcP+9e6dfeH0fHHdu4SYSkrEyqOfwY4XTSwLLoa7l4cdLHTJs0+YR/ANFRlfNc\nWzopJYUdMXupUqkS1StXyfM598ceZvgTI6ged4QmLjf/2O0ENz2H14pQ/FqWxStvvsrLIrT3rlYy\n2Bge/3cL03+dy42XDSxUe0oVhebts8v8P37ny5CQHD3I14eFcsmiv7Es64R8eCqVK1Tk4i7nnnR7\n1UqVmPT2+0ybM5tv1q+lSvUaVFv2D7enpeTYr4G/P2Epqew9eKhIy5Dmlpyayp2PPMA5+2O40eHg\n0GYXL/29kOvuuocr+/Q7vl94aCjvv/om4yd/ynWLFxEUGMSlAwdzy+CrSUlLY+L4D9iQkUFz7zjw\n9RkZ/O1wcG+nLqcdoyr7fNkz7QIeNsasFJEwYIWI/GqM2ejDmFQ+3G43/6xfR0JyEq2bND1pIVmc\n9sce5s4H76d/chIPBQSwa+8e/snKondiAtUyMogGqgFN7HbeGvcWrRo3pVpU1PHj0zLSWbp0MU+H\nhRF34AAVEAJEGGITnk9M5Ja6dQlNSmLzzh00a9DwlLEYY5j4zRS+mTqFejYhxuWmRYdOPPXwo4QE\nBefY97V332HgkcPc7O19tozhyQ3rmfz9NO687sZCvQbb9+4hKCmJ9qH/TcYUEQY5HEz6Y4EW0+pM\n0bx9FhEEK9eKFFa2SdfFrVJkJEOvvR64HoCHx4xi99rVNAsIOL5PmmURbwwVIwp3v4CTmf7rHJru\nj+GZbEumdnA6uXWi52652Ts2oqMqM+bBR+HBnG1UjIhg1MgnGf7KSzROTcUgbHU4GP3YyEIvxarO\nTj5bGs8Yc8AYs9L7fTKwCajhq3hU/nbui+Hqobfy6TNPsuSNV7n9jlt597NJJb480OTvvuHy5CTu\njYigVWAgA8LCeC0slMyMDFrahPtsNu50+OF2ufDfv49pP8/McbzL5UaMIUDEM4XcKxTI8K7YYUGB\n/oHM/Xshf331Bd8EBjAxOJifwkKpsGwJr33wXo79UtPTWLNmJddlW/3DJsLNQYHM++2XQr8GAQEB\npBnrhH98KZZFoF5mVGeI5u2zy0UXXsynqWk5cvjklBS6d+1WqF7poho86Eo+MrAjKwvwFNKvJCdz\nbvceRBYPtFlfAAAgAElEQVTy5lsns+qfpfTyy9lvWMvhoLZl8e+uXQVup3u7Dsz47CuuHv0014we\nw4zPvqJb2/bFEqMq+0rFOtMiUhdoCyzNY9tQEVkuIstj4+PPdGjKyxjDmJee59a4OCaGhvBCaAjT\nQ4L55/vvmL/shLetWK1dtYILsy2xBPBvVhYNjWGcnx89/B1cYLfznt2GKzOTZSuW59g3PDSU+g0b\nMTclhfCwCOIwGAPTLUPXkFD+SEsjq2LFU64gcsyM77/jboff8TWp/UV4ICyMhX/9QUpa2vH9jCHH\nGtXH2EWwrLzu83hqtatFE1WvPt8l/3dJNNWy+Mxt0btP30K3p9TpOlne1pxddgy9/iY2NWjIrSmp\njEtI4M6UFBZUr8nwO+46I89/Xpu23HjvMO4SG1elpnFZahoZ53Wndes2vPzeO3z8zdfsjz18Ws8R\nUbESh9zuHI9ZxnDYchNRyKVOAwMC6Na2Pd3aticwW2+6Uj6fgCgiocA04AFjTFLu7caY8cB4gPbN\nmusK6T6yI2YvaftiuDzbMIMwu50bRZg752cuLMC4sf2xh5nw5WT++WcJIcHB9Os/gOv7X46f36l/\nDStFVWbPkVgaZ0teMVlZXAA5bhTgL0JnY9jq739CGw/dN5yHR45gTXoaVfwDmJ+RwVabjU7+AfwW\nEMgrj48uUE9MQmIC0bniDREhCEhJSyM02DPUIzQ4mOYtWjJt/Tqu816uNMbwRVoaPfsNyN1sgYwZ\nMYpHnhrJ7COx1AT+sSx6XTaQS87rVqT2lCqqU+VtzdllR3hoKBNef5tFa1axIyaGK6tVo3vb9vnm\n5OI0sFdv+l5wITGHDhHgcPDk2BdIHvcmPYG9BoZ8+zXPjHmOji1aFq39/pfx7MI/6eRdmtRtDBOT\nkqnWtCn1apz+mGylwMfFtIg48CTkL40x030Zi8rpSEI8fyxfhmVZdG/XgYzMTEJtcsJQiFCbjYyM\n9Hzbi09K4u5HHmBgQjx3BwcTn5zE+5MmsHfvHkbd/+Apj73iiiv58PmnaeJ0UsvhIM2yWGdZVHI4\nOGBZVLXZsIuQ7LbYLEKf8y84oY2m9erz+QcTmLlgHgf27aN9hQp0DwyiWlQUL3TqXOAJgW3bd+SX\nn2dxd7aCfVVGBgEVK1KlYsUc+z5y/wMMe/wRlicm0MTlYomfA1fDxrwz+OoCPVdutapVY8qHE1i2\nYR1xiYkMadSYmlWrFaktpYpK8/bZxWazHe9t9RV/h4P6NWvyybRvqbV9K89nW13k3LQ0xr75KlM/\n/rRIQ0/aNm3GzfcO4/aPP6RGVhpHLDfVz2nGc4+NLO7T8In0jAwcfn5n9AOQOpEvV/MQYCKwyRjz\nhq/iUCf6+c8FvP32G3R3u7EDE0W4ZcgdHA0KZm1GBq28Qy4sY5jhctE1j+I1tx/m/UKXxATu8E7W\niAZeczgYMO839l1zPTWqVD3psRd06MThofdw26eTqJSVSqxl0abnxaxetYLl8UdpkpaGsQxLHQ4O\n1ajJVb1659lOpchIbh44uLAvRw7/u+oa7lr8N6mJiXR1+LHD6WKy3c6Ie4adkOhrV4tmyocTmbd0\nMQeOxHJDnXp0a9vuhFujF4bNZqNzyzN/QwOlQPO2KlmL/lrA/f7+OTptOgcFYeLi2LV/f5FX9xjY\nqze9u/dg657dRISFUSe6enGF7DMbt2/jnQ/eZfO/W/BzOOh1US/uv22ILpPqI778KNMVuAlYJyKr\nvY+NNMbM9mFM5V5sfBxvv/0GExx+1PXeXfB2p5NbJnzMrffcxyMfvk//pCSijeFXsUGzFlxegMX1\nt23exIW5is1Am40Wdjvb9+49ZTENcHXf/lx+8SXsPXiAihGRVIyIYO2/W3j+lZcwR4/gNobg6jX4\n4LGRJTqWLTqqMhPfeZ/vZs1k8ro1VK1eg1f7D+Cc+g3y3D8oMJD+PXqWWDxKnWGat1WJCQgMJCXX\nnBILyDCGwIATh+8VRlBgIK0aNzmtNkqL/bGHeXTkCB7IyuSSiHASLYtxc2bz1JFYXnvqWV+HVy6d\nspgWkd5ATWCeMWZXtsdvM8ZMOp0nNsYsJMfaCqo0+HPFcrq73ccLaYBoh4M+qWmkpKbx0XvjmT1/\nHv/GxzGobTsu6NipQAvr16hdh81LF3NJtsfcxvCv202NqqcupI8J8PfPcXvaVo2b8PX4SezcF4OI\njXo1apTYkk7ZRUVW4K4bbsJTUyhVepRkzgbN26pk9bm0P5M2vUoHyyLY2/nydXIyNRufmWVYy4rv\n58ymX2YGl3qXXa1otzMqIpzLV61gR0xMsazPrQrnpMW0iLwIdANWAiNF5C1jzDjv5vuA007MqvSx\nLIu8BiHYMbgtN7WqVePO624odLuXX9KHIT98T6PkZC4JDSXZsng3JYV6bdrRoGatIsdrs9loUKt2\nkY8vb5JSUpi/bCkpaWl0atFSb4N7FtGcrcq6vt17sHHTRgbNmU1Hm429QGq1aN549HFfh1aq7Nu9\nm165rvT6idDIbmff4YNaTPvAqXqmLwPaGmNcIvI08JWI1DfGPIj2TJy1urVrz0QRhrhcVPNOaIhz\nu/nZZuetjp2L3G71ylV49cVXeOeDd3lx67/Y/Py48OLePD9kaHGFrvKxbP06nnpuDJ2yMqlgWTxq\ns3F+v8t48PY7z0iPvipxmrNVmWaz2Rhx171cO/AKNmzbSt/ISDo0a3FG1rwuSxo0bcry5Uvple2x\ndMtig8vNQ97OJcuy2LhjG2kZGbRo2EjHUpewUxXTfsYYF4AxJkFELgPGi8i3wOkNXlKlVnRUZW4f\nejc3j/+APm43fhh+tvsx6IabTrsHuHnDRnz0+tukZaTj8PMr0PAQVTyynE6efuk5XrbctPeurXq3\nZXH7zJ/4u31HvflACdo2ewuH9rvz3/H0ac4uRxKSk/hzxXKcLhfntWlLdFRlX4dUbGpXi6Z2tWhf\nh1FqDerVh1t/nMEniQn0CwnhqNvNe+kZdOt1CdUrV2FHTAyjnh+D/fBhIkTYbrNx3z3307/nRb4O\nvUxI3LSf9X8nFOqYUxXT20WkhzHmDwBjjBu4XUSeB05vSQRVql11aT86tWnL70sW47bcvNmpS7EO\npShPn5AzMjP5bckitu3YRs0atejdtTthISH5H1hAiSnJ/Lp4EfGJibRpeg4dmrfIs5d59ZZN1ExP\nz3E78hCbjaswzJv/uxbTxSx3AV15yED4sMSfVnN2OTH/nyWMffUlOrtcBBr4WISbbh3CDQMG+jo0\ndQZUjIjgvVffZOJXk7nxn6WEhobR77obufGygViWxePPPMktR2K5LDQEEWF3VhZ3j3uTRvXqF+jm\nZOVR7gLa6no+Vc+pWOC8fapi+qq8HjTGjBaRDwoTpCp76kRX59ZB+f//Tc/I4Ncli9ixczs1a9Si\nT7fzj9+4pLw7mpDAvY8/TK2DB+loLNbZbEz+4nPeGftasSzNtPbfLTw+ZiSd0zOo4XLxtsOP6u07\n8eLjo05Yc9SyDLY8LvTboMRvB19e/D1hY46fKw8544WN5uxyICklhbGvvsx7NhtNvFeZ7nS5uHnS\nx3Rq3UbnQZQTNatWY8yDj57w+MpNGwk+eoQBYaHHH6vj789V6enM/HUuTc7Q3S3Lgtw5+3gBXQQn\nLaaNMSe9E4cxZl+Rnk2dVWLj47j3sYepG3uYDpbFWpuNyV9+zrixr+slOmDClC9oFxPD0PCw47cf\nn5KYwNsfvs8bzzx/Wm1blsVzr7zI6Kwszg/3/EMdYgzDly3lpz/mM+iiXjn2b9v0HJ7xD2BdRgYt\nveuEZ1gW0xBu6XHBacVSnmVPxhnVG1Crb9Hu0lYcNGeXD3+vXkl7l4sm2YqlKn5+DLAs5i36W4vp\nci4pNYWoPK5ORtlsbE9M9EFEpUtJdXroLXNUgfy1cjmffvYJ23bvIqpiRa679nq2bNnChQcPcl9k\nxPH9vkxIYNz4D3i1nK91uffgQb6cOoUqmRn8fvQItQICeKJqVQaHh/He6pVkOZ34Owo/ZtztdvPT\ngt+Z/v137Ny8iZ0VKtApKIhAmw0/Ea7xs/P1b7+cUEwH+Psz+rGRPPj8M/RITKKS5eZXux9tLurF\n+e06FNdpn/VyJ2LwSQ+0Ksfc3rksuTmMIdPl9EFEqjRp3bgpLxrDYZeLKt5OHMsYZluGSzt38XF0\nvnEmrhpqMa3y9ffqlbz27BiGZ2VSIzGR7QcP8PJTIznqH8Af1XMOVxgcFsp7y5fhcrnK7e1Ns5xO\nHhg1gjsyMxhqE4JFmJ2VyfB9+5hYqxYiwvqt/zLhs0ms27SRSpGR9O13GT27nEeNqlVPOab8+Xfe\n5NCC3xmKIcHlYtGRWIanpvJ+jRrYRXDBSWe+d23Tji8nfMavS/4mJTWNp1q1pkXDRrqSRz7yHP+s\nlI+c27ot48TGPqeTGt4P5MluNzPtdsZ0Oe+kx1mWxcJVK1nw5wJsNhsXXXAhXVq11r//s0yF8HBu\nvuV2hn4ygestiwi7jZluC3ez5lx8it+Ps4kvcna+1Y6ITDbG3JTfY+rs9fnkzxjmctEgIZ6aYqOF\nw496bovL09PYExtLtRo1ju+bZQx2u71cL2X09+qVVI+P48aKFUmMjyPUZqO/3c5il5vRR4/SqktX\nnnxqJA+4XbwdHsYLBw/w3huv8kNYOK7ISK64YjB3XHvjCa/h1t27WPXHfKaFhRIgNnYkxNMzy8nD\nGen8kZZGt+BgvnK56derz0ljqxQZybV9+pX0S1DmlYLxz0WmOfvsVikykrvvvo9b3x/HpWlpBFoW\nP9v96DnwClo2apznMcYYXn5/HFt++4XBGNzGMG7+PP4ZMJDht91xhs9AlbQbBgykacNGzP5lDmkp\nKVxwXlcu7d6jSFdDywpfd3oUpOuwefYfRMQO+GTqf3zmAb7b9hwA3ZPaUrVdf1+EUe7s3LOLOhnp\nRAGB3llsLW2CQ4QJKSm08Q5ZMMYwISWFnj0vKtfF9KGjR2hgWVSqUIF9GRlsT08jBIiwLH4Lj6B7\nSDD/czq5NCKcj+PiiE9O5g8/O/HpqYRXqsRjU6cQGVmRa/rm/P1eu/VfugoEeF/b6tWiidm3j5ZO\nJ+/FxTHOsmja/Xz6nd/DB2dd9pXlAjoXzdlnuYG9etOuZSt+W/Q3zqwsnu/YiWYNGp50//XbtrLq\nt1/4KjSEIG/+uNSyuPrHGfTv1VtvfFVKuVwulqxbQ3xiEq2aNCnUxPX2zZrTvlnz/Hcsw3xdQGd3\nqjsgPgGMBIJEJOnYw0AWMP4MxHaCoMhqtBr0GJu3zuav9atg2yoABshg/Bs080VI5ULtGrXYcPAg\ndbJdDtxiDA0d/iy127k6OYXODgcbAHv9hrx+e/m+EUuz+g2ZITYsEWpVr0F6ZgbpmZmscbl49tEn\n+PKLz2gV4I8xhu/i45lgs1HZJiRbFpHAowEBPDX92xOK6YoREczP9h4EBgRQv25dDsXGEtW9B3df\nez3NG+iwjcIoTRMIT1dZytkAVzZ80hchnTVqV4vmtiuuLNC+S9euoZfbdbyQBgi12ehpWSxZu0aL\n6VJo94H9PDT6carEx1MDw0eW4fw+fXlk6N35dlYlJCfx2XffsGjhnwQEBHBJn35c27f/WTH0srR2\nepxqNY+XgJdE5CVjzBNnMKZ8NW3UFxr1BWBfwiZ+nD8Ntk07vl2TdPG68cb/8ey6NYSlptBLhE3G\n8KxluLxSRaYGBTPiqWeJOXSQC6pF075Z81LZK52RmcnitavJysqiY4tWVIyIyP+gImrZqDG12rXn\n0WX/cHNgAA5gigFHs+b06NCRvxb9xdo9uzknIIBEy6Km3YbLGFyAw8+POgJH4uNPaLdb23aMi6zA\ntLg4BoWFIsDC9HSWR1bgi/sfLNFzOpucTQV0dmUlZwOs/X7s8R5r0Jxd0kKCg9ljs5/weILdRv0y\nuJTp/tjDfP7tVFatWEZkRCSXDRhEvx4XnDUdCcYYnhn7Av87epTB3tWa0iyLu3+exdwWLbm02/kn\nPTY9I4N7RjxM+30xvBwUSGpyEhMnfsSWLZt5rozelr0s5GwpyBqzIlIDqEO24tsY82cJxpWn5u2b\nma8XTz7lPmu/H5vjZ03SxeO7X+bwzPPPQGYGdRx+dA4JZV1gIIOH3sM1/S7zdXintHLTRkY/+xSN\nMzMJAZYDdwy9iytLcOxwltPJ1NkzmffLHNxuN+dfeDE3DLic4MAgtu7exQMPD+dBy81XcUe5KTOL\nJgKBkRWoEhXFT8nJzG3Rireee+mEdncf2M9zr77EoR078BfBv0pVHn/oUVo3aVpi51LWFedaoqej\nVYfAFcaYM7J0SlnK2RsWTsAde/T4z5qzi19sfBw33XErb9uE5t6lMVemp/OY2Jg6aTLhoaH5tFB6\nHEmI5/Zh99A/IYHewUEcdLl43+ni3Guu487rz45pAXsOHmDY3UP4MTQUW7YPCL+npjK9aXPeeuHl\nkx77w++/seidN3ndW4SDZy7ToJQU3hj3IQ1q1irR2ItDaVo1qaB5uyATEF8GrgU2AscGpxjgjCfm\ngmg16LHj3+fu/dAxe0V35SV96N6+I59P+4b1q1cSVymK+wcNpnspX1YtIzOT0c8+xQsuJx29d/87\n4HRy20cf0Pqc5jnWZN0fe5gla1bj73BwfvuOp/UPxt/h4KbLB3HT5YNO2NaoTl1efGEsH036mJVr\nVrMyy8kDISGcFxrG3MREJvv78+rNt+XZbp3o6kx4Yxz7Dh/C6XJRJ7r6WdMbU5xK01i6M62s5ezm\n3YYc/37Dwgk5cnb95Cq0a3unL8Iqs4wxpGWk4+9w4PDzTDirXKEio0Y+yfBXXqJBaioWsCcgiGdG\nji5ThTTAd7NmckFiAnd7l2St7+9PU7ebK7/7husGDCpz55OXzMxMAkVyFNIAQSJkZWWe8tjNmzdx\nbq6lE/1F6CDC5h3bS20xXdZzdkEG0AwCmhhjTv0OlkLZC2uAv74fe3zM3tmapBOSk5i78C8OHT5E\nsybn0KNDh+MJ9XRVrVSJR4feXSxtnSmL166mcWbm8UIaINrhYFBaGnP/mE+j/90KwBc/TOfLTydx\nvjGkifCunx+jHh9N9/Yl82GhdZOmvD/2dQA27djOlOnf8sfOndRv1Jhxg6/KdwxjjSpVSySusqy0\njqXzgTKbs7MX1uDpENnhLa7P1pxdnFZu2si4D8axe9cubA4HfXr34b6bbycwIIDu7Trww+dTWLlp\nIyJCu3OalcnVHTatX8sNueKuaLdT3yZsj9lD26Zlf/5Ug1q1cUZU4J+UJDoFeZZKtYxhmtNJ1x49\nT3ls1ehotuUacGCMYRvQr3KVEoq4aMp6AZ1dQYrpHYADKHOJObdjxfW+hE3smP/j8SQNZ8ckxs07\nd/DwqMfokpZKQ8tiut3OV/UaMO6FlwkJKnvj4rI7dPQo2/buJjqqCvVr1izwcZmZWeTVTxFiDHEZ\nGYDndfv204lMCQo6fqfCjZmZDBv7AtM++/L4a7dx+zZ+/3shBsMF53Y96TJUhXVO/QY8+0jZHMvm\nS4mb9rP+74Qcj5XlZFyMzrqcDTkLa9ArjbntiIlh9JNP8ISx6BERToJl8fqsn3g+IYHnR4wEPDdv\nOrd1Gx9Henqq1qjJ9o3ryb5icpYxxLjdVK0U5bO4ipPNZuPxh0cw+pkn6ZWYRE0Mv4sN07QZg3v1\nPuWx/XtexP+mTqFtSgq9QkLIMoZPklOgTl3alILhgGdrp0dBiuk0YLWIzCNbcjbGDCuxqEpYjchz\nqDHonOM/b946mx/X/zeJsawW1q+89TrD09PoGx4OwI3GMGbbVr78YQZDr73ex9EVjWVZvD7+A+bN\nnU1zu53tbjf1WrXhucdGEVqAiTOdWrbiTeCgy0U1b6GcZQwzbXbu6XwuAPMW/sVAyzpeSAM0Cwig\ndUoqi1avote5XZkw9StmTfmSAZYbMfD0999xyVXXcOf1/yuR81YnVxYmo/jYWZezIWdhnXt1EC2s\nYdqsH7jW5aSnN/9XtNsZEx5O/0V/c+BILNFRlX0cYfG4sv8AHpr/G03S0+kYGEiKZfFWcgrNO3Wh\neinreT0dHVu0ZNIHE5j9x+/siYvjipat6NmhU74rckRFVuC1F8by+rg3eWXnTtwitOvQidfvH+6z\nxQHKQ84uSDH9o/er2InIJKA/cNgY06IknqMgss80z11YQ9mYEHM47igHd++iT9h//bAiwjWBATy/\n4PdiK6Yty2Lq7JnM/GkGicnJdOjQiduvv4la1aoVS/u5fTNnNrt+nsmPYWEE22y4jWHs6pW8+fEH\nPDn84XyPrxgRwZA77uK28R8wyHITAswUGw16XEDnlq0AcLld+OUxD9cBuNxudu3fx4yvv2RKSDAV\n7J4Z8Ve53Vz3zVQu7n6BLitVws6mS4FnSLnK2ZBzCB+U3Q6R07Fv92565Cq0/EWo6+fHgdizp5hu\nXLcej49+mrHvjSP1SCwZInTveSFP3XWvr0MrdtWiorht8NWFPq5Zg4ZMfOs94hITcfj5ERYSkv9B\nxaw8FNDZ5VtMG2M+E5EgoLYxZksxP/+nwLvA58XcbpHlTtK5J8SU1sLaz+6HG89so+yfPTONKda1\nJd+c8BE7Zv3I6IAAKvv58fMfv3PPyuVMGvcBlSsU/woJs36aweMBAQR7P1HbRbgvNJQBfyzg0bvu\nIzAgIN82rrq0H63OacYvf87nSHoGd3U+ly6tWh//lH5+l3N5+YfpXG1ZhHgf2+t0skzg4VZtmP3X\nH1zkto4X0gARdjuXWG7+WrlCi+kScLZeCjwTylvOhpy91hsWTuDH2LJ/pbGwGp3TjH82rMsx/CHJ\n7Wa7203d6jVOelxZ1K1te84bP4kjCfGEBAWV+WGMJeVMLpdaWlZN8pWCrOZxGfAa4A/UE5E2wLPG\nmAGn++TGmD9FpO7ptlOSyspM84oRETRu3oKpG9Zxo/cyn9MYPsvK4uLelxbLc8TGx/Hrz7OYERZG\nqLfovDUigiOJSUyfM5s7r7uxWJ4nu+SUFCrZc66PGmqzIW43WU5ngYppgCZ169Gkbr08t7Vpcg6d\n+w3ghpk/cqnbTZpN+Nlm5977H6BCeDj+DgfpthNXzEgXoWIJTODZsG0rk6d+xfZtW6lVqzbXXX0d\nHVvk/6k+y+nkk2+nMnP2T6SmpdGxXXvuvGVIocaY+5L2QBcPzdn/5ezc9yEoTTm7uF3Z9zJunzOb\niomJ9A4J4ZDLxTuZmfS9/IqTFlU7YmKY+sN0dm/fSp0Gjbjm8ivKTL6w2WxUqVjJ12GUa5qz/1OQ\nLsungU7AAgBjzGoRqV+CMeUgIkOBoQDRtUtmKEFBlfaZ5o8Pf4gHRz/OH0eO0MByswShUZfzuPrS\nvvkfXAA798XQ2G4/Xkgf09nPzvebNxXLc+TWsVMXZv02lzuz/TNYkJZGzTp1i+3SlYjw4O1D6dWj\nJ3+vWEaww58Pu3ajdrVoAHp26szEj/zYlpVFQ39/AHZkZTHP7sennboUSwzHrN68iVGjHuMut5th\nQYGsX7eG59au4ZHRT3N+h46nPPaFd94k/Y/5fBAcRKWgQGYu+4f7N27g0/c+KpGrBsVBe6BLxNNo\nzgZOnB+TexJjab3SWBRVK1XivdfeYsIXn/PlyuVEVqjIZZdfwdV98s7/67f9y4gnRnB9Vib9/P1Z\nu30b9y34nbEvvlJsk6vV2Udzdt4KUkw7jTGJudaytUoonhMYY8bjvRVu8/bN8r/DzBl0qpnmvkjS\nNapU5av3P2bRmtUcjjtK3/oNaNagYbG1Hx1VhR0uF1nG4J/t92Gzy031WnVO2N/tdjNl1k/8POtH\nUtPS6HJuV2679vpC9Sbcdt0N3LX8H44kJtDZZmOrZfG9w58X7rmvWNdXFhFaNmqc5z+RqMgKPPzw\nCO5841U6ZKWAgeU2Gw8++AjVoop39vikyZ8y3HLT17vgfm2Hg0ppabw58SO6t+9w0nOOOXSQ5X/9\nwY/hYQR4P+xcFxHOvqQkZsydwx2lZAJq7hU4ytulwDNEc/ZJnOo+BGfDcJA60dULfJe7Dyd+zAMu\nJ329HRXtgoKokpzMR5M+5t2XXi3JMFUZoqsmFUxBiukNInI9YBeRRsAwYFHJhlX25B6z56sk7efn\nx/kltDZyrWrVaNmpMy8sXczw0FAibTbmp6bynb+DD/qdOJP+xXff4ui83xgdGECk3c6Pc2Zz9/Jl\nfPLO+wVeWD86qjKfjvuQGb/O5ZdNG6lWsyYf9ul7vNf4TOl1Xjc6t2rDotWrMBhGtGlLRGhY/gcW\n0qYtm3k51yolnYKC2BMTg9PlOum6sLv276Opn/14IX1MW5uNOdv+LfY4CyN3T0Z5mIziY5qzCyD3\n6iBnw4pO+2MPE5eYQP2atQgODDrlvms2rOft8Jw57OLQUJ7dsL4kQ1RlRHmbQHi6ClJM3w+MwrPE\n0hRgLvDcKY8o57IPB8mdpEvDcJDT8eRDjzJu0gSumPcLltNFvfr1eeGue6kTXT3HfnsPHmTJ/N/5\nITyMQG+Bd29kBIfjjvDT/HnccNnlBX7OCuHh3Dr4qmI9j6IIDw2lT7fuRTo2MyuLz6Z/y9w5s8nI\nzKRr1+7cccNNJwy/qFa5CtuOHKZd0H//CHc7nYSFheE4xUTS2tHV2eJyn3DVYK3bok69BkWK+XTo\npUCf0pxdSGV9RaeklBSeeX0sm1etpJqfnX1i45abb+Pa/icfJl8xIoJ9zizqe4euAcQ4nVQ6g5PW\nVOmRe/yzXjUsnIKs5pGGJzGPKu4nF5EpwAVAlIjEAGOMMROL+3l8Ka/VQXw9HOR0BAcG8dg99/PQ\n0LvIcjpPOot6655dtLbbjxfSx3QWYdHmTVCIYjq7owkJOPz8ytwtY58c+yJ+y5bwRnAwwSJ898sc\n7lm9is/e/SBHD9LVV1/Lq2+9zst2O3X8/TnocvFcejpX33z7KYe11K4WTasu5/LUooU8EBpKRbud\nWaehGM4AACAASURBVMkpzAkOZmIxTUDNjxbQpYPm7NNTFld0evHtN6i5YjmvRoTjL8J+p5P7J3xE\njerV6d4u7yuVAwdewWuffcLLdjvhdjtJbjevp6cz8Kprz3D0ylc0Zxefgqzm0Rh4BKibfX9jzIWn\n++TGmOtOt42yJnuvde4xe2XpxgMOP8cpb1NevXIV/nW7sYzBlq0I3GIZooswW3zTju289s6b7Ps/\ne+cdHVW1xeHv3JnJTDIlgQChhI703nsHEUEQULCA+kRBRQQBAUGKSBdBBZSmIBZABKRJL9Kb0nsg\n9BRI7zNzz/sjGAglBJJJ435rvfXWnLn3nH1HsmfPOXv/tv8FnEClKtUZ3Lc/Pt5Zv5r79MUL+B06\nwDJPT3S3P4sPvTy5cjOYdTt30Kll66Rr2zVtTnR0NO/88hOGyCjiDXo6v/I63Tt2euQ6Iz/+hFk+\n+XntrzVER0VRs0o1pvXsle553XejHQVmPTSfnb5kdUWnm2GhHD6wjzU2a9KpVEGDgXfi41nx5/KH\nBtM9OnYmLDSUF9eupqAQXFNV2rTrQI+OnTPSfI0MRlPgcA2pSfP4HfgemEuijLFGOnF3zh4kbzyQ\nFZx0WihTrDj5ypVnysnj9LZYMCsKG6OjWWcyMa9Vm8eaKyQ8nIHDBtMvLpZnrVbsUrLw8D98/NlQ\nFk7/PtO6OqWW85cvUU0RSYH0f9RGcubsGbgrmBZC0K3dC3Ru8xwh4RFJ0nwpEREVxYY9uwgOCaVG\ntep80OMthBAu+Vy0AsJsgeazXURWVHQKj4wkt+7+eomCej1hISEPvU+n09G/Zy/+1+1VrgcFUTBf\nPpfUgWhkPtoOtOtJTTDtkFJ+53JLNJKC62thp7iwdWWydJDsVhAjhGDCsJF8Nfs72u/YDqpK8ZIl\nmfj+h4+9U7r27600jI3hudv62UYh6OlpY0fADfYfP0bdylVc8QjpRiEfHxZJkFImS9U4iaDoQxq+\nGPSGVO26n/Q7z5ufTSUqpg4ORzEMhtXUrPAXs0cMwnhXLmRa0ALobIfmszOIlBSdMuqksUiBAkQY\nTZyNj6f0Xbr7G+PjqVar9iPv97RYtSA6h3Gvz9ZODV1PaoLpVUKI94HlJBa0ACClfPhPXo00ca82\nanatNLdZLIz6eBBxH/QlwW5/4jznwIAASsn7FbZKSUnAzeC0mulyqpYph6lESb46f5Z3LBZMisKq\nyCh2m82816TZE88rpWTAl3OIiR2El7XF7bE32HdsCIvXr6NH+yfv0fG0d7PK5mg+OxO4Vx1kx/F/\nk04aXRlYG/QG+rz3AR9/NZk34+MprNezze5gV+48zH5B24F8Wrg3fUMLoDOW1ATTb9z+/0F3jUkg\nw5oAPO1k90pzk9GY6k6FD6Jc2XJsXLuKbnft7NqlZL+UdC6R8UoVj4sQgimjv2DanO9p9/d2VKeT\nypUq8/V7fch1e7f9SbgSGMDlgHhs5jupsEIoGA0vs2LLN48dTGtHgTkGzWdnMvcWMd6dwgfp77Pb\nNGpC/rz5WLbqTzYGBVK5eg3mtm2foe2kNTIezWdnHVKj5vHgHswamcK9TvreIsasHlg/CS3r1meR\nbxHGXvbnJZOJWCn5MT6e8vUbUvohLcKzGp4WKyP7D8L+YT9UVaZLCoZOUUBKEuOkO+kjTqcdVT66\nR4cmxp8z0Xx21iOlPgTp5bOrli1H1bLlHn1hFuFqYAAzf5jD7v17MRrcaN3qWXq/3uOhClEaiWgB\ndNZEyAccnye7QAgD8B7Q+PbQNmCWlNLuWtPup0KN8nLRnoUZvWy24ejyicle56TAOiIqioXLl7Lz\n7224ubnR6tm2dG37fIqKIjkdKSWd+n/GWf9X8bS2J8Hu4GrgDaJiBpHLdpqG1aoytu9blLhLPUWr\n5M48Ktc0HZJSuqaj0l1oPjv7cK/Pzk6KTmkhIiqK7h+8y8thoXS2WolRVb6LiiKgclW+GTM+Xbvb\n5gS0ADrzSK3fTk0wPRcwAAtuD3UHnFLKng+/yzVojvnRxMbEsXfzPk4e/5sCukhKlMyNooinxkk/\nbVy4epUewyYSGvEMVwOtOJ2H8bRWorDPSCKj1+Fpm833nXoSefPOjw4t/zlzyMBgWvPZ2ZS7g+vs\nruiUEovWrubs7O/4/K4OjKqUvBQVxYjJ06hQ6plMtC7z0RqoZB1S67dTkzNdS0p5t1zCFiHEkSc3\nTcNVXD5/hU/6f0pUxSjsJezodxiofKUi7w5/iR27/8oxsnsadyjh68vmOVP4+peFzFj0D7ltkzAZ\nKxAfEY/O3oaAqztYu/9fOo0bl9mmamQcms/OpuQkRaeUuOR/kSok38hThKCiEPhfv/ZUBtOaalL2\nJjXBtFMIUVJK6QcghCiBpl2aJZk0bgqR70VhfSFRNUP2khwedITDG2ryYvfkOXs51Uk/jRjd3CiU\nLx8ioTnOqFJERyUKOOjzeCFDqxJfNf4RM2jkMDSfnc3JKYpOD6NoseIcQXB3exhVSo5JSaeChTLN\nroxGU03KOaQmmB4EbBVCXCCxyqko8JZLrcphHN5zhHV/bSA6NobGDRrStG1jDG7pm+t7M+AmFwP9\nsbS7Iz8nFIHba25smLqJF7vfad99d+OBe520lg6SvfjPGccHgTAcROdtQ4jE5g1SSgyGPZQs8dQ1\nrXva0Xx2DiO7KzrdS9vGTflt8a8sCAulk8VCtJR8HxVN/spVKV+yVGab51JSyn8OCr7Oz7/N4tr1\nACpVKEfTJs/j4W7OaBM1noDUqHlsFkI8A5S5PXRGSqltdaWSRfOWsHD9r8jXJYpNx6E//2HThs18\n8fXnGAyp+S2TOoQQ8LD09xSKOTJawkkjbdybSweJzjiPlFSP/YjDRwZjNL2JQE9c3K+UKa1So1qj\nTLJWIzPQfHbO5l6f7Sp1EFdis1iYMekrZv4wlzn792Byc6NV+w5M6P5Gjiw+TE0B4cnT//LpZ8NI\nSGiHEHX5e8dOli7/g6mTvsPTU9utzuqkpgDRBLwPNCQxXNsBfC+ljHO9ecnJbsUsIcGh9Hjtf7gv\ndUeXWweAVCWRvSMZ+sInNGrTIF3X69vzY/w6XsDaMbGoQzolEYMi6FX5HTq+3v6x58usSnMpJTv/\nPcT6DeuIi42lXsPGtG/a/JFttXMqqVXgSEiIZ/nKn1m/YQuq6qRF86Z0frG7trORRcjAAkTNZz+l\nnNg5F2fwraTXWn1M5vC4qklSSt59vzsBge9jNjdJGg8Ln0yXFwU93/rIZbZqpEx6FiD+BEQC395+\n/SqwEHjpyc17Ojh9+AyipkgKpCEx9YI2cODQoXQPpj/59GM+6f8pETsisRdzoN+po0be6jz/cpsn\nmu9ubdRrYafYsXVlhnT0mv3bz2xfsojuAsyKwp+H/2XL1i1M+/yLp0YK70mkkNzcjHTt8jZdu7zt\nKrMAiI2L4dbNAHJ7+2iBetZE89lPKXen8N1bxKgF1q4lLbKjIaHBXLsRgtXSONm4u6kDO3YN1YLp\nbEBqgumKUsq7Kx22CiFOPvRqjSQsnhYIun/nXwaCl9Ur3dfzLeHLD4tms2/LAUKCQyjVryQVa1ZI\nl2Ozuwti7g2sIf2OFgNv3WL574tYavbAS5f4I6SplPQ+eZxtB/bTql76/gDJStwdQGeVVrCXr/hx\n9twxvLy8qVyxDsuXfs+WZfPwliq3EDR54Q26de+PoiiZbarGHTSfrXFfEePR5ROTFZ5nh3SQrE56\nSdgZ3UxAAlLGIYT7nfnUcMwe2oZFdiA1wfQ/Qoi6Usq9AEKIOsBB15qVM6hQoxy5QnJza2UIlvZm\nhBDEn0tAv0JHq2+aP3qCR+B0OokIjcRiMycVNJrcTTR53rU5sg9y0kvTSR3k8OmT1BZKUiANiZJJ\nrZEcPHQwxwXTWTGABlBVlWnfjmXz1oMIUR8hLoMcRtWE6/zmmYu8egMhTgfDl81hpdWTjp0yXMJY\n4+FoPlvjPu4+aTx9bi1Lj2uKTk+CKxqoWCw26tSqyd59c7HZ+iCEQFVjSEiYTfvnn0vz/BquJzXB\ndA1gtxDi8u3XRYAzQohjgJRSVnaZddkcnU7HuC9HM2rYFwQsDEKxCQyXDXzSbwCFS/o+eoIU2LBk\nA6u++gkZEY3daKBlz050fu/lTNkhvLdV7srgJ5dwslmsBD5gPFCCp1f67+ZnBlk1gL6bLdtWsXHL\nNayWZSiKCYCLftMI008jr3fiDzcDgjqqyowFX9G0+Yt4eXlnpskad9B8tkaKpKQOoqWD3E9qAujo\n6Ej27t9CeHgIZctWpVyZqo91KtyvzyeMCBmM34UuKEpJnM5/adumMc+26pRm+zVcT2oKEIum9L6U\n8lK6WpQC2bWYRUrJhdMXiYuJ45mKpXAzuqVpvp3rd7Hmo0mM8zBRyuTGjQQ7I6NieKZ/dzr1yjpp\nkdfCTnFr68pkY486WnQ6nbz87lv0DLlFO4sFIQSn4uPp53Aw49vvKZYNNUizo5bogMEfcPZ8d8we\nd045Lp47ho94hY3FdPjFxzE+4CrVpEqQqnKxUDFeem80LVt1TmHWp5sMLEDUfLbGE3NvEePTmA7y\nMNWkh3H2/HGmfvYWteJiKOSws01vwKdOC/oM/Aq9PvWqXVJKzvud5NatAIoXL4tPvuz3fZfTSLd2\n4gBCiFxAYe7ayZZS/pMmCxPnbQN8DeiAuVLKCSldrznmREZ06Evfi9eoY/FIGruSYKcngun7f8my\n+av3qoM8zElfuHqVz8aOxhl4A7NQuOHmxsB+A2lep25GmJkuuOIoMCP5sH8vLl95D3f3Wklj169c\nwD22EyuK2Pnk2kWmC0EhVeUaggDFQB8heGXQl7z4Qo8cKW+VVjIqmAbX+ezbc6fab2s+O3uTWYpO\nmcGTFhCqqsonvVvT71YgTcyJSlp2KfkoIowqfcfRssWLLrEXwP/SOX5f9isXLlymVKlidHnxFYoW\nydk63RlNuql5CCHGAG8CftxRMpZAmpJ+hRA6YAbQCrgKHBBCrJRSaoUyjyD4ahClTMl3t30NehJC\nI4iLjcfD7P6QO12PqqrsXLebjVs3A9C6eQsaPFsfRVFSzNm720mX8PXl55mzOXvJn9i4OMqXLJXl\nZfHubQUL6RNASynZvXcTy/9cSXhEBPXr1qJTh1ddrjvarEkD5vywBJOpRlITGA/rRaLsoSwMi6eq\nVMkn4YrDiarPj4/IQ1tHMN988z2KMNDxhVddap/Gw3GVz749t+a3nyIyS9Epo0iLAsd/XLl6AV1w\nAI0t1qQxgxB00+tZuHmZy4LpU6cPM2T4MOwJPXAzdsX/8mH+3tGXSeMmUKa0lsmV0aTm/OFloKSU\nMiGd164NnJdSXgAQQiwCOgCaU34ExSo/w759x2jrdeeP90hsPJ4F8uLuYco0u6SUTB41le0Bf6N0\nSwzADv32D033NmHQqP7Jdivvztm710n/l7NXpljxjH+Ix+DeANoV6Ru/Lp7LL7/tQKd7F50uL4uX\n/sX2v3sxfdo8LBbbfdcHBV8nOjoSX98SaZIRbNvmJXbu7s+Zs+/iVJuiKFdwd9/CoC+msPbP+RQ7\nsJWbQkElL3p9AQA8hBE3Qzt++uVnnn+uCwZD2tKZNJ4YV/ls0Pz2U8ujFJ2ySxFjRp4a/rcR4Qrm\n/DAbp3MANs9nATCZKhEZ5c3cH2czefx0l62r8WBSE0wfB7yAoHReuxBw5a7XV4E6914khHgXeBeg\nQJH86WzCHWKiY1n4/S9s3LwZh91Bo0YNeLN3D7zzZb3c1o79u/PNa0NxhEZQy+zOqbgEpjlVXhr6\ndqYer589do6/T+/EusiKcEu0QzaVbH/5bzoeb0/pSs888L571UFO7JybpSWcMqqAMCIilEVLlmI2\nL0WnS/x3aDJVJCg4mvWbltO54xtJ194KCWLC5NGcPHUJRfHC3T2cj/r0pUG9Vk+0tsnkzqRx0zlw\ncBvHTxwjT14fmjb+iVxeeahSqQ7D32nBrVs38ZS5AIiRTlahw8PaCbv9KDdvBVAgf5G0fwgaT4Kr\nfDakwm9nlM/WyDzu9dn3FjFmtcDalT67sG8JHHkLsP1WAE3vSvNY5HBQ00W70lJKTp4+iqdtRrJx\ns0dzTpwc85C7NFxJaoLp8cC/QojjQFJLWinlCy6z6i6klLOB2ZCYf+eiNRgxcDQnCp/EY74HeqOe\nTYu3cPyDE3z307eY3F2726uqKit/W8Ofq1YSGRlFrRo16NHz9Yd+EZWpXJqPfpvIqm9/Y87xc+Qr\nW5we73elar0qBFwJQNHpyFsgT4YH1if/OYWjmSMpkAYQbgJnc5UTh04+NJi+l7sbD9zbKjczjhbT\n4yjwSfC/fA4hyiQF0v+h0zXh8OGVdL5thpSSz8cO49z5+litMxFCT3z8KcZP7s+3XxWheLEyD5j9\n0ej1eurVbUm9ui2TjefJk5/2bw/hg8kDec4ZjLvqwQp0hHq+iYehMKoahqenpuyRieR4n62RtUhJ\nHQQyZ0MkIzY9VFVl7/7NkKsU/zt/lTrR16lvcONvvYH89VrTtMnjdx5ODUIIvGzeJNiv4uZWImnc\nbr+sqSplEqkJphcAE4FjgJqOa18jsUDmP3xvj2U4pw6f4XTEGWzDbYkdCgHP9z0JOh/Mno17afZC\nU5eu/92U2az2X4txlBF9Pj0bZm5iZbvVeOf1pnBRX15/9RXqtUxefFe6YikGzLrjoPxOXaB3jw+5\nFnEN6ZQUy1uMIcMHplmC73GweFrQ++vuG9cF6rBWsz7gjkdzd2ANsGP5xPvSQVxBViggzO2VB6fz\nClKqyY4LHU5/8ufPk/Ta/9I5/C6EYbX2TLrOaCxHXFw31vy1gj7v3cl7dDqdHDm2l9DQmzxTqiJF\nCpd8Itueb9cdo4eVceNGotAKs9ebmPQFiIoeRYd2z2qdETMXV/lsyEJ+WyNrcndgDff3IXBVYJ0Z\nqknTv5vI+g3nQHTDYOvMrpj5BPrG0r/vcMqVfTxpvMelc6cX+WHBRHS6Ceh0uXA6Q4iL/5Lur2pS\neplBaoLpGCnlNy5Y+wDwjBCiOInOuBuJbW8znCt+V5DVZFIg/R/OaioXLvjTzIVrhwSH8tem9Vj/\ntKJYFGIPxRK2Jxx1pIqpegxXgq8yZtJ4Bsb1p3m7pg+cIyoiiiEDhxM7IBZzKzNI8F99icEff8qP\ni+dgNBld+AR3qNeiDt/PnkPM7hg86icqjcTsisG030jdAbXTZY27C2LSu6NXZgTQUkqOnTjAzl3b\n0ev1NG3cktLPJO6g+PqWoHy5ghw/+Q1Wy3soipG4uMPodYt4/rmpSXOEh99CpxS6Lz9Pp/cl+Oax\npNeBQdcYMrw/wTdzgyyKlD/QrEl1Pv7osydSgGnZvCMWiyffz/6ewOD+CKHwcqcXeP21d5/w09BI\nJ1zlsyEL+W2N7MG9Pju9GnxB5m56XPQ/w/qN+zFbfkdREov+rZYWXL/xKghcfjLcuWMPwsMjWLm6\nM+CDlAG83KkDHV94zaXrajyY1ATTO4QQ44GVJD8yTJPMkpTSIYToA6wnUWLpBynlibTM+aQULFoA\nsUogpUz2B6A7rlCkVuEU7kw7Vy9eQ1dGh2JJDGZu/RACH4OuoY6E0Hjy1s9D3Bdx/PDpfJq2bfzA\noGf3pr3E1IzB2vr27q8A6wsWIrZEsn/bQRq1yZiugRabhS/Gj2Ls6ImEm8NBgmeMJ8MnDMFis6T7\neik56dSkg7hKgSO1SCmZ8f0k/lp/BFXtANj5c9VIur/Wjm4v/Q+Az4Z+wVdfj+fAobYIxYKn1Um/\nDwdRrOidlJkSJcqhypM4HDfR6+/sWKvOzdSsUSXp9aQpYwkM7ILNluhsVTWeLdv6UrHCctq0fjJ9\n6Lq1m1GnVlOioyMxmtzTVPSokW64xGffniPL+G2N7Me96iArt95JB0ltCl9WODUEOHHyEKraNCmQ\nBhDCDYejBceOHaR82WouXV9RFHq+1ZdXXn6L4JsB5MtbAA+P9P+e1UgdqQmm//sXcXeeQbrILEkp\n1wJr0zpPWqlQozwldMU5N+U8lp4WhJsgakkUuU/mpuEw1wai+QrmxeHnQCZIhJsg/lw8Sm0FNVbF\nzWDEnmDHUcRBQHAQsdGxmK33H5+H3gzFUcR537izqErozdCk1w6Hg3VLN/DXxvUk2O00a9iEjq+9\nkK5SeuWqluWnP+bhd+oCQghKlC2eIbrXqZVwyggFjqS5VZWjx/YRGHSNokWeoUzpysl+rJ05e5S/\n1h/EbP4VRUncyXc6O7Dw1640bdya/D6+2Gy5GPXZJMLDQ4iOiSS/T+H7Pk+b1YvXX32Fn35+D8Rb\n6HV5SUhYS2FfP1o0S/xcboUEcfqMP1Zrt6T7FMWIXv8ma9fPTTGYtjvsOBx23E0eD3xfCPFAZRGN\nTMNlPhuyjt/OCUgpObD9EFu2bMWpOmnWpCl1W9TOsr0C0pNHqYP8d9KYkT77cTCbbeh09/+O1OmC\nsVpLPOAOV9lhxWx+sjRKjfTjkcG0lNKVWQ5ZAkVRGDv1c+Z++wNb2m3D6XRSt0Edek3v6XKpufy+\nPtSrXJddY3Zj6W/BUMhA3P5YlBI6HB4O/C9dgptAKAzt9xljJo/EM7dnsjnKVCqNYZYe+c6dVBXp\nkOh2KpT+9M4O5pejp7I9fAdufdwQJsHC339h74f7mDJrEgZD6rs0PQpFUXimQuYJx99baf5fnrV+\nG+Slc4a08A4Lu8XQz/pz5aobUpZDiD+oVDEvI4dNxGRK/PFy6N89OJ3PJQXSQGKxoWzCkaN7yd+q\nS9K4p2fuFLWlu3Z5i5LFS7JyzWrCwyOpX68mz7fpk5S7bLcngHADkn9JK4o7CfEPVlCLi4vlhwUz\nWLdhPXa7gxIlSvBB7z4u33HRSBtPg8/ODIKuB/P3+h2Eh0dQrVZVqtarnOagd+aXs1l79C9kVxA6\n2PXbHprvbsqAEf2eqsZHD1IHWXp8DAGnQ6kW0DNDfPbjUqd2M0ym74iJ2YmHR0MAYmMPYTT+TYN6\nWjv2p43UNG3xBEYCjW8PbQc+l1KGu9KwjMbqaaH/8L70G/YhUsoM2RnYvXEvi35fQmBgEJ52T8Lb\nhOMWbcBx2o7HWA8iSkaiKArye0meT705F36erydOZ8TEYcnmqVynEpV+rcjhgUdwe8UN6QT7z3bq\nFa1DmcqlAbh4xp8dx3ZhW2ZLUtswVjTi1/sC+7ceoEHrei5/3sziv13rDaeHUL5d+h0JxsfHcer0\nvwhFoXzZasl0lWfMmor/pYZ4en4AgJQq/x4ezpI/5tPjtfcAMBmNCBF137xCRGA0Pv5pQc0ajalZ\no/ED3/PJV4gCPmYCg7ZjNje9bZMkPv53mjV98OnLlGlfsHO3GxbLMtzdvbh8eRtDhw9jxtcz8C3k\neg1wh8PBiVOHiI2NpnzZathsuVy+Zk7gafHZGcnBvw8xeuxY4urFQx7JstkrqL2iFsPGD36sdtF3\n43/2Emt3/oX5dzOKR+L3TUKzBP7ssJrz3f2oWrUK7bs8T6FiBdPzUbIF/xUxBowfkmW7x3q4mxk7\nejxjxo8kPNwGCMzmEIYN/tzlTbU0sh6p8QI/kKhb+vLt192BH4EcWTIqhMiQHYHVS9Yyc9ks9P30\nGEoYiNgcQeSEKMwmM+YoCxHvhCO9JUpuQe7XvPF83RMZJ9nX5gDRkdHJ0j0UReHzKSNY+/s6Ns7c\njCIUnm3Rimc7t0p6Fr9TF6CeSC5bJwTORionT5zK0cG0K9h3YBsTv5yIw14KiR139zGMHDaaCuVr\nYLcnsGvPLqzWEUnXC6Hg4fE26zb0SwqmG9RvxfyF75CQ0Ak3t2IAxMUdRa8/RK0aQ9LVXiEEgz4e\nzNDPhhARuQepFkVRtlP6mTheaPfJfdcHBV9n997D2GyrESLxR4LZ3JyIiPOsXruM3u8MSFf77sX/\n0jmGj/qE8PB8ILxATuCd//2PF9p1e/TNGk+Vz3Y19gQ7o4eNJTBXEM6jTkgAo48buwJ2s2v9Hpo8\n3+iJ5j124DhqM3knkI5P4ErAVezP2jl98wyXc19h3XsbmDRpXKplRTUyljKlK/PTvD8473cCVVUp\nVbLCE/+40sjepOa/ekkp5d0JlaOFEIddZdDTgD3Bzvz5CzHNccetqAGn00lYvXAcfR2YrhrJNzQf\nES3CcRvpRrHWRRD/7ZIbQRogPi7hvtxpg5uBDq+1p8NrD9a1zJUnF+Kv+38kKBcFPkXypfsz5mRu\n3Qpk7IQJ6HTT8TAnHk3Gxh7gs9FD+fnH39Hp9EhVIkTyYjwhjDidd3Lb8/v4MrD/R3z19f+Ijq4K\n2DEYTjHi05EuyYErU7oy82b9xLbtawkKvkKF8i9Qp3azBxYNBgVdR6cvnhRI/4deX55Llxanu213\n43Q6GTF6CGFhfbFYWgPgcAQya+7blCldXmuV+2g0n52O/LvrMNfDbyAmCpTGCkiIX5ZAwjehbNm+\n9YmDaYvVjHL6zgnozeBbqN4qungd7lXdsb1qI6poFDOnz2LarC/T63E00hlFUZIUmDSeXlKTyxAr\nhGj43wshRAMg1nUm5XxuBd4i3j0et6KJQUxkeCSqRUXXQkfc2XgUDwWvLl4kbEkgLi6pGJ+Y7TEU\nzlsIv5N+LJ23nJ3rd2NPsKdqzar1KpMvNC8RCyOQdolUJVGbonHf4U6T557sy+BpZefujdgdrTAa\n7+T4ubvXIiGhOvsPbsdoNFG1chUiI5cluy8mZjFNGjVMNtakURt+mf87Qz9pyfCh7fl1wTKqVnHd\nKUEurzy82KEHvXp+TMP6rR+qvuFbqDiq8xxOZ2SycYfjAOXKuXaX7PSZw4SGeSUF0gB6vQ+q2pUN\nm/5y6do5BM1npyOH9x1BtpAoTZTEk0tFoOuiQy2sEhYQ8cTz1m5WC9NBIzH7Ev/TxMTEgD+I7QLz\ns4mbJeaWZk6fOIPd7kiPR9HQ0HARqdmZfg9YcDsPDyAUeNNlFmUwMVExLJn/B1v+3oaiKLRpT+bd\nqQAAIABJREFU0YoXu3dwqTazp7cXIkLgDHGiy60jIcEOJpD/SAwFE4Ob3G/lJqJVJBGxkThaOZB+\nEsMaA/HGBEb/MhZ7LTuG9Qa8Z3sz+dvx5CuYF4DI8Cg2/rmJE2dOUbiAL206tia/rw86nY4J077g\ny7FTOT7/JEIPvrkLMXBy//sKGjVSJjo6Gqnen7+rqrmJiUnMge7zfn8GDfmI8MijOJ3l0OsO4Ot7\ng9e6Tb/vPovFRv26T9b221V4eXnTru2z/Ll6AEa3D9HrfYiO/gurdT3PPzfPpWvHxsUgxP3qIIri\nSVRUtEvXziHkaJ+d0ehMekRRgRqpolgT95+kUyK9JWW8Sj/xvGarmTHjRjFm5Dii8kYhAoB4QcFx\nBdB7J341O286Mbmb0OlyvrqHhkZ2JjVqHoeBKuL2t5uU8sl/imcxHA4HQ/oO52zJ87hPMIETFsz/\nmSODjjHum89dljvt7mGibZs2/Dl6FeZhZoxGN+RBiZgpyD0iMUhTbAp58nnTrdjLBB4IpFD+QgTV\nDWKD+yZsn9qSbAv6IZiZU79n1OTPuBUUQr9eA7hVMwSlhcLuM3tZ8c5Kxo8fQ7mqZclXMC+TZowj\n9GYYDruDPPm9n6qK8fSiatXa/LJoIqr6JoqS+KPL6YxEiK1UrvQtAIUKFmPu97+wY9d6rl2/RqmS\nLalbuzlubhnTQCc9ePftfvgWWsKyFZ8TERlB08bV6fH6DLxzuzYtqFyZqgjxBXb7FQyGRJ13KVWk\nXE3D+q5pz5uTyMk+OzOoWKUCeX7yJuR6KKqHitRLZIjEcsjCc7NbP3qCFChfrSwLl/3A2aPn2LRq\nK2sD/8JUOVFBSo1TiZ4STZf2nZ4KqTwNjexMatQ8xgGTpJRht1/nAgZIKYe72jhXc2jHv/i5XcBz\nxJ3g1G28G8deOc6pf09Tvnq5R8zw5Lzd9y0M3+lZ1S1RrtV0w4hbYyM6Hz3xJ+OJmxNH/Qr1eOOj\n15Pu6dahOx7feYADHLcc6HLrsL5iYf+8g9gT7Pz242JuPncLz/dvb0i1hugK0Xw7bSYzfvw66Rlz\n5fFy2XM9DZQrU5Xmzcqzeev/QHZG4kARS+jU8dlkKhceHhaebfVkzVCyAoqi0K5tN9q1zdiiP7PZ\nyge93+ObGe8SE9MFIXIhWEP1au7Uq9syQ23JjuRkn50Z1GxcnUpLKnJ89gmc7Z2osSq6JXpaNWtB\n8dLF0jy/Xq+nfPVylKlSGv1UHWs7rENXUofjgoPmdZvSo7fW0U5DI6uTmjSP56SUn/73QkoZKoRo\nC2R7x+x32g9HPWey3VmhCJx1nFw84+/SYNpg0PN237fo0ft1YqJiUFWVxfOX8nefnRiNbrR9tisd\nX3sh2T1SSsKXRRC+NhxpUCFe4NXBE4NMTA3ZvXcvHjOSN9bwaOqB/5hLRIZHYfPShN3TAyEE/T8c\nTsP629m+42/0ej3Nm/SlSuW6D73nvN9JfvxpLidPnSR3bm+6vfQSLZt3SPXJwImTh/hjxVLOnD2D\n0U1SvXotXni+K0UKl0yvx0pCVdUMU7V5GK1bduSZUuXYuHktkZGXqFe3M7VrNtMq5VNHjvXZmYFO\np2Ps1NGs/X0dWxZsQ6/X0/a5NrTokL5y3jqdjvcH9uKVN7ty4/INfArlw9vHO13X0NDQcA2p+WbS\nCSGMUsp4ACGEO5B9zqpTIF+BfOgP6O4b153VkadSngfckf4Y3AxJOcu9B75D74HvPPTa4j7FOLv+\nHPp5epQiOmSA5NaHIVTyrIjBzYDZYiYmNAZDkTtFZWq0iqIquBm1Ns/piaIo1KnVjDq1Hv2F6n/p\nHAMGD8Th6IOHx+fcvOXP1G++JDQ0jJe7vPnI+7duX8Pkr2YTEvIiCfbmSHmQI8dWs2btNoYM+pgm\njdqkwxPBlat+fDd7Ov8cPoDRzUTrVs/yvzc+eGjnQ1dTvFgZ3n27TKasnc3JsT47szCajLzYvQMv\ndu/g8rVy5fHSTg81NLIZqUnE+gXYLIR4WwjxNrARWOBaszKG+q3qYTtmI/L3yESFiwRJxIII8gbm\noXrDrNflLSAiALc+bkinijPIiUxQMXygJzI+EiklHZ5vR/zMBNQYFSBRsWNmFE0aNcLk7tpOjhoP\n5/c/fsFufwurtQM6XS7cTdVwd5/Mr4sXER8fl+K9doedmbO+w+H4ArujDXr98xgMI4FXiY1rwLRv\npxEX93ChBiklZ88f589VP7F126qkAsl7CQ27yceffMTho03wtO3AYPiD1WsSGDtB28zMhmR7nx0X\nG8euDXvYsGwTNy4HZLY5Gk85sXExbNy8grk/fs3GzSuIjYvJbJM0shipKUCcKIQ4AvyXrDhGSrne\ntWZlDB5mdyZPG8e0ydM5Of0UIKheuSp9v+6Tru2104uQm6EUaeRLvJJAQnwCek89Hg09iIiJwOFw\n0vblNly85M+6Fzagq6TDed5JFd/KvDf23cw2/anm9Fk/jMY3ko0ZDAVJSPDkVkggBQsUfei9AQGX\niYuzEhfvA9xJ0xGiJfHxk3A6S3Hm3FGqVKpz372qqjLl68/Ztv04qtoMRTmDu/v3jBszkdKlKia7\ndtPmVURHN8VmewkAvT4PNtsI/j3cAf9L5yhW1PVNI2LjYpBSJrVA13gysrvPPnvsHMOGjCS2fBwy\ntwpzoUvbTrz5QfcMTz1yOp38+etqVq5eRXR0DHVr16Z7z9eS1JM0cj5BwdcZOPhDboWUxalWRq/b\nz8JfF/LVxBnkyZM/s83TyCKkKmKUUq4D1rnYlkzBt4QvX343gaiIKBRFwcOSOUfaqaFsuTKc2HUK\n63OWJDtj9sRQuFjhpOD/w8Hv07X7S1z2u0IeH2+KlX54oKaRMRQt4ktAwHGMxjsyWk5nCEKEkStX\nyl/KNmsupAxFEQmAmjQu5VX0Om+kDHhoGsaOXevYuu0GVuvvSc1XoqO3M3b8aH6csziZQsAF/8sI\nkTznWwgFna48N25cSnMwraoq/x7ZzZ69uzCZTDRr0pqSJRJrEoKCr/PN9C/55/BhQFClUkX69hlA\ngfxF0rTm00x29dkOh4NRw8cQPyIeS4PEH1XOCCdL/7eMajWqULVelQy155sJM9kQtBHTGBNKLoVN\nq7Zw6L1/+H7+dGy57pdv1Mh5zPlhJsE3X8DTs+ftkdcJvjmbuT/OYMigMem+nt1hZ83axaxdvxGH\n3UGzpo3o3PF1PDws6bbG5St+rF23gsDAW9SoXpnmzdprmxhpRNPbuY3FZsnSgTTAWz17oJuqEPlH\nJAmX7ESuiUT9XKVXr7eTXZevYF5qNqquBdJZhK5dXkGIWcTE7EZKFbv9ClHRw+nQrt0j85E9PXNT\nr04NdLr5SHkDKR1IeRmYjdFUkDx54ilVssID792waQuK8kqyLoYeHo25FWrgov+ZZNeWLlUCKf8l\nPj6O4OBAAgKuExFxE4fzKIV9S6Tp+VVVZfLUUYwYPZc1f5Xkj+W5+GjAEFatWYzdnsAnQz/in8M1\nsFg2YbVu4sixhgwc0jfF9BWNnMmZI2eJzBOFR4M7fxc6mw7ZVbJp49YMtSXoejCbdmzG+qUVY3kj\nhgIGPN/1JLxeBBv+3JyhtmhkDlJK9uzdicXSNdm4xdyVXXt2uWS9CZM+Y9bcwwQFfUJo2Ch+WXST\nwcP6YnekrkHbo9h3YBsf9PuIP1fn4cChVsycdYJ+A94lKiq5gmZAwBW+m/0lH/bvxeSpo/G7cCpd\n1s+paMF0Ktm1cQ/vdn+f5xt3pPcbfdi7dT8BVwNZNGcJ3385h71b9idrFe0KylUty5TJE6mzpzbm\nfh5UXVeFiaPGUrNRDZeuq5E2ypSuzOcjh5I//7eEhzcE3uL1VyryZo/3U3V/vw+H0KRRFFbLGzid\nzVDV57DZwsnvs51Rw8c+VINWSgki+XtCCMQD/uxbNG8P/IX/pWmEhkUTERnCjYBPUEQoPj6+j/vI\nyTh8dA9/7/DHYvkRT89X8PR8G5PpR2bN+4Ft21dz81YhbLZEzW4h3LDZXiU8vAx7929J07oa2Q+H\nwwnG+1M5hFGQYE/IUFsu+11BV0mH4n7P31BtwalzWmDxtKDT6bldy5uElPHoH9I9Ni34XTjF3v3n\nsdmmYDJVxWgsj6dtFBf8PThwcFua53c6nUz7dio6ZTKetp5YLK2x2SZw5WolVq5ZnHTdlat+fNCv\nN6vW5Oby1Q/Zuq08/QcN4sjRvWm2Iafy2InBQojCQDcp5WQX2JMl+XvdTibMmYxhmAFzFTPX/7nB\nsAEjUYSC/iU9FJGsWrSGyssr8fmUERjcXKec8UyFUoyY8OmjL9TIUlSv2oDZMxqQkJDohB+nCYPZ\nbGXEsAl88F4Ql6/4ERERgpenNxXK10xRKq5Vi2YcPrIIKRsl7U7HxOzCyyuW4sWSq2TodXqEEFgs\n14mN/R+K8MDm2Ran08DO3Rto1qTdkz04sG//blRnu2Q75Hq9DyK+FoeP7sXhvF+xw24vS1Dw9Sde\nU+MO2clnl61SGsMFPfGn4zGWTRQgkQkSuQyadm2cobb4FMyH86wT6ZQI3Z0AXz2tUqSgloL0NCCE\noGXzlqxdNwebbQhCCKSUREfPod3z6a9573fhJFAPIe74dSEETkcDTp85leZOuddv+BMV5Y7ZXDnZ\nuJvb8+za8y2vdk1UE5u/cB4xsW/iaXsVAHdTNWJiijBj1gxmTa+jNXt7AKkKpoUQeYGXgFeAgsBy\nVxqV1Zi/4CcMIw24V3cHwL2mO9d019EP11P82WIAyG6Sw32Psm3N37R6sUUmWquRlUlLB0Tv3Pke\nq/tg44bPsWfvHnbteRWHozl6/XVMpn18+sm4+4L5M2ePotNVpVDBb5KNR0atZdfu7U8UTNvtCSz4\n+XsWL/2ZsLAuREZdJm/efBiN/ynLROHrWwa9bh9Sqojbu+hSSgyGvRQv+upjr6mRSHb12UaTkU8G\nD2Bcn4lEtIlAza2iW6+jUbH61G1RO0NtKVzSl2olqnJw3D9YP7SgWBWiN0ZjXGXkuXnPZqgtGpnH\nWz3ex+/iQM6ffxUpKyPEEcqW9eDN179M97W8vX0Q4v4UIp3uPD75nrx1/X+4m8yoagRS2hHizqaf\n03kLm/VOzvSRo0cxewxKfq97fa5cGUpsXIyWX/0AHhpMCyGsQCfgVaA0sAwoLqVM25lv4twvAaOA\nckBtKeXBtM7pKlRV5Zr/dbyq3tH9jD8ZjygGjmKOpDGhCPSddGxdsV0LpjWyBDqdjqGffMGpM4c5\nefIQNltF6tXth9Xied+17u5mpAxFSpls10GqYVitT1ZLMGXaGLbvULFZ5xAZ+Tkxsa9x9doVihQu\nit3xLybTeV58YTyH/jnKiZMjMLm/gUBHTOzPlC7loHq1hk/87E8jrvTZt+fPEL9dt1lt5pb5nh0b\ndhIZHkX1j6pRsWb5TGmp/ekXg5nz9Tw2ddiCw+mgdOln+GDye5qax1OExWJj6qRZnDh5iOs3LuFb\nqDnlylZzye5s1cr1yJdvOgEBC7BaXwH0REWvw8NjH40b9U3z/Hny5KdSxVIcOTYPm/VdhFBwOkNR\n1Xm0f75H0nVeXrkIvnkNvf7O5o3TeRM3Nz1uBk2y/kGktDMdBOwnsWvWTimlFEK8mE7rHifR6c9K\np/lchqIoFCicn7Bj4ZiqJO6oCTeBGiZxM7glu1aNVjEZNT1njayDEILyZatRvmzKuumln6lE3jxx\nBAWvwWJJ3IV2OAIQ4leebTXqvuullJw89Q/Xrl/C17c45cpUTfblEhR8nR27DmG1rkZRjOTL+w7B\nN9/H6SxBcHAU+fOHMOqzMZhM7owZNYWlf/zEhs2DUFWV9s83o2uXr9Hp7m+opJEirvTZkIF+O1/B\nvHR+Mz1NfzI8zO589Gkf3h/YC4fDibuH5t+fRoQQVKxQk4oVarp0Hb1ez4QvpvLV1xM4emw+oFCi\neCEG9JvywE0QgLi4WPbs24z/pYsUK1KMenVbYjK5P3SNTwZ8xqgxQ7lwcQOK4osqj/NK107Uq3Mn\nbeWlTi8ybfo0DPqv0Ou9UdVooqMn0qnj81oX2oeQ0qcyFOgGzAR+E0IsTuHax0JKeQrINnk3b/To\nzuTPv4IRYKxkxBnjRHdWwfKPGW4LHTgjnMhfoE3P1plrrIbGE6AoCp+PGM/wUYO5FbIYIXIjOUav\nnm9RtkxyObKoqAg+Gz2Ic+djkLIKQiyjbBkbn4+YlCTfFBB4Fb3uGRQlcRfD07MLFktLQsPmUbL4\nHqZPW4bh9o9Rd5MH3V/rTffXemfsQ+c8XOazIfv57fTE4GZwaS3MvQRcCWD35n04HA5qNapB8TLF\nMmxtjcwlX96CTPjiGyIiQnGqTnJ5Pbgbs6qqnD9/nM/HjyA0tAxOZ1V0up3kybOArybOwNvb54H3\n5c6Vl6+nzOGi/xlCw25SqsQwPD1zJ7umdcsXCQq+ye9/vERCQgFU9QatWzXmze7vpfvz5hQeGkxL\nKacB04QQJUh00CuAgkKIwcByKeXZDLIx02nWrgkAC0YvJOBqIAWLFqTHgNdZPv9PIjZGIH0k6i6V\nFnWa4ZXHE4fDof1608h2+PqW4IfZizl1+l9iYqIoW/azB+6G/LBgBqfPPHNXQY7K8ZNj+emXWfR+\nZwAAhQoUxeE8g6rGoCiJaSI6nRcGg4769RolBdIa6Yfms7M/4SHhTBs9nfW7N6LroMPdy8SCQQvp\n1vZluvd++moICjUqRfiUr/Ac8HFmm5Lh2Gy5Hvrerj2bmDlrJhf9g4iNTcDLsy55876EovQgKHg2\ns3+YztAUNLCFEJQoXjbF97u/+i6dO77KjYAr5PH2uS/g1khOajogXgDGAeOEEBVJLGhZC5RK6T4h\nxCbgQe2Bhkkp/0ytgUKId4F3AQoUybxuQ83aNaFZuyaoqpqUu9ehe3uO7D2K36kLrDH/xdbT29k2\n6W8s4RYGDxmQ4Q0GNDTSiqIoVCj/cKlFKSWbtmzCYlmRtEMphILF/A4bNr2WFEx7e/vQqkUj1m8c\ngrt7X3S6fERHr8Xs8RfPt5mbIc/ytPKkPhvSx29nFZ+d3bjmf50P3+2Pf+gl+BVEbkF8ZBwFXivA\noreWUL9JXUqWS5vmu0b259Tpw4yf9C16/QQSEozodD5ERE5BynHkzz8Gi7kbu3Y/l+IcO3dtYOGv\nv3Aj4BolSzzDmz3efGAXXQ8PS1JzLY2UeWhFhxCilBCiwd1jUsrjwF9Am0dNLKVsKaWs+ID/pTqQ\nvj3PbCllTSllzVx5Hv5LLaO4uwjGYNBTpU4l/lyzipDeIZj/MGP+1UzMmBhGjh7DzYCbmWiphoZr\ncDodCJG8CEUIE457mgr0eW8wb/WogMnYn/j49tSutZ9pk7/RWvC6iLT67NvXp9lvZzWfnV2YPWMe\noVVDEe0F+vJ6dPl1OL1VQuNDcbZT2bNV0/jVgGV/LkXKtzGZKgMCIawoyqdERu3B4biFlAnodA/f\nJ920ZRXjJs0jILAfRuNqzvu9yrARX3Ds+IGMe4gcSErl0dOAiAeMhwNTXWNO9uOfXYeJLBqJpa0l\naafOvbo79mftbF+3I5Ot09BIX4QQ1K3TgMio5Om4UVGLaVAvWRyHXq/n5S7/49eflrHyj02MGj4R\n3zR2U9RIEc1nZ2MO7juEqZ473NX7S+elEB0dg3CCyAQ1E42sx/UbQRgMJQGwWW2o6k2E8EAIHxyO\nYKKj59Gy+YM1sK/fuMxXX48hIaE2en0BdDorZnNz4GMW/LwgA58i55HSX6ePlPLYvYO3x4qlZVEh\nxItCiKtAPWCNEGJ9WubLDMJDwjm85wh+p/xQ86v3va/6qISGhWWCZRoaaUNKSUDAFW4EXE7songP\nvXr2wTv3MiIiPyE8/FeiogaRN+8aer71QSZYq3EXLvPZkDP8dlbG5GHCWNENsVeg+iV+p0gniDCB\nskqhYYv6mWyhRlagcsWyxMcntjLP450XkzEWp2MvqnqChISRPFPqJG89oLvuH8t/4o233+DGjaaE\nhunwv/Q2YeG/AeDuXpOL/hcy9DlyGinlTHul8N7DdVdSgZRyOdmkicC9SCn5bd4SfluyGFFekHAx\ngVC/UIxvGnErklhUJVWJbrOOKj0qPda8pw6fIfBqIMXLFKNY6aKueoSHEhMVw+ZV2/j32GHy58lH\n245t8C2RLhK1GlkQuz2B/Qe3c+PGJQoXLkmNao24dt2f8ZPHcOVqGCAoVNDK4AGfJsuby5e3IDO/\nmc/KVQsJDDxGpUq1aNRwOO6mJ9OjllKy/+A2/ly1irDwSOrXrckL7bpis6bkgjQegMt8NmRvv50d\naPtcG5YuXIbPwHwEvhuEs4ETNVrFss1Czw/fougzWtdFDXixQzc2b+1FeIQBd1NLcue+QmzsVzRu\nWJ+OHV6jYvmaydJRpZTMnDWRefN/RYiFqNIdnMXR69/gZvDrmD0akmC/SPFihTPxqbI/KQXTB4UQ\n70gp59w9KIToCRxyrVlZl31b9vPz1l8xLzWjy63DXXUnclIU1zvcwHucN4q7wLHUSTVzFWo0qp6q\nOSNCIxg+YBQXEi4iygrUH1Tqlq7NkDGDMkyOKSIskv69BnKjbABKSwXVX2V1n78YMXQYNVP5HBrZ\nh1shQQwa+iFBQQWw2ytiMPxOwQJzCA0LIzb2IyzmtoDg+vWNDBk+iPlzfsNstgJw8NDffDl1CtEx\nNlQ1kouXr1G5Yk3c8z9ZML3kj/ksWLgJRemJTp+XX35bx5ZtvfhmyhwsFls6PnWOR/PZ2ZjXe73C\n1RHX2P/tAXzK5iNmVQwlCpRg1K/DKaxtamjcJl/egnzz1Xcs/v0nDv07kDze3nTp1OuhrcY3bfmT\nJX9sAHqg09UCeQu74zo4C6CIVoSGzcdk3E+PV/tl7IPkMFIKpvsBy4UQr3HHEdcE3IDMV9PPJP5c\nvRqlp4Iud2JDCaEIfAcU4uaqm1RYUQ7FoNCsUROat2+a6o5dM76axbnq57F9ZEuUGnNIdg/ey7Kf\nVtC150uufJwkVvy6kus1b+A59I4UWmzNWKaN+pafGszLlO5jGq7j+znfEBDwLDZbLyBx9+Ls+Z44\nHBZ8C91pHW6xtCYycgt79m2mZfOOXL9xic/HTURRvsRsroyUKhcuLmbYyEHM+e7XZP9OTp76hzk/\nzOHsuZPkypWHl7u8RPu2XZPpFEdGhfPzb4vw8FiCXp+op+puqkZAwEg2bFpBp453unI9iHs7Nj7l\naD47G2M0GRk5aRhXL1zlqv91Cn1YkMIltSBa437y+/jyUZ9PU3Xt0uUr0OtaJ/lJnd4bicTpvAji\nKhaP3XwycDQ1azR2pck5npR0pgOB+kKIZkDF28NrpJRbMsSyLEpEZAQ67+Sd2YRB4J7fgz7936NI\nqcc7KkmIT2Dnzl1Y11nvSI3pBaZ3TKz9dF2GBdO7D+zBOCi5QoN7dXfCRDgBVwIpWLRAhtih4XpU\nVWXX7h1YLCOSxoQQGAxViIi4ft/1DkdRQkMTlWk2blqNw9ERm63y7fsUrJZuBAav4eSpf5I6hJ33\nO8ng4Z8h1YGYzU2Ijr7Ad7MmEBUVxatdeybN7e9/FkHppED6P3S6puzZvwSH04G//xWeKVWCFs3b\nY7N6oaoqy1f+zMJffiYg8BpGowf169bkvXcHUqRwyXT/vLILms/OGfiW8NXS6zTSjfCwMCyWtoSH\nD0HKNxCi4G1/ewofn6PM/m4J+X20f29pJSVpPJMQoh/QGUgAvtOcMjSoVY+EtQnJxuKOx2GJM1Oo\neMHHns/pVFGlijAm311TzArx8fFpsvVxsFgsOEOcycZkgkRGqbib05xuqZHFSPzhlry40M2tHILt\nSOlIGpPSid6wg9KlE/P/b4WEAsl/WAkhEBQkIjI0aWzRkl9wOt/FYmmNohgxGsthNk9kydKlJCTc\n+Xft5ZUbp/MqUiYv4o2Pv8CBgzuZ/1MY23fUZe6PV+n9wRsEBl1jwcLvmPH9dq5cGU5Cwk6iIsey\nfuNxevf5H34XTqXTJ5T90Hy2hobGvdSoXpWEhCPkzfsOUu2B0zkeh30kOl1vPujVUwuk04mUzu4X\nkHhEeAx4DvgyQyzK4rTv1o5ChwsR8WkEURujCP8hAucAJ/36fYhOp3v0BPfg7mGifLlyRK2JTjYe\n80cMDes3eMhd6U+Htu1wznHiDE8MqKUqiZgbQbXyVciVRysEy0koikLDBo2IjFyYNCalxOk4RKlS\nHkREfERMzB5iYvcREfEx1arkplKFWgBUq1oVxKZkKh9OZwSqeogyz1ROGvO74I/JWDXZunp9fpxO\nCyEhQUljhX1LUq5sASIjZiJl4o/U+PiTRETOwM3QE5ttMFZrO6zWEYSGdWHOvOksX7mSmOj+CKUe\ner0POn07hPiIsLBizF84zyWfWTZB89kaGjmEsLBbLF0+ny+njmHVmt+IinqQ6uWjef3V/2G1LkGI\nAPL5fITF4o+X1zImjh1Nu7YvJ12nqip7923miwnDGTN+GLv3bkRV71cq03gwKeVMl5dSVgIQQswD\n9meMSVkbq6eFb+ZOYfPKrRxa/y/5vPPSdmqbNKlvfNj/fQb1H0rksUhkGYnYLyjgl5/Xv3slHS1P\nmYZtGvDyhYssfXEZSiUF9ZJK2dxlGDi+f4bZoJFx9OrZF78LfQkIOILDURG9/hClStr5YtQv7N67\nmfUb5yGlSuuWzXi2VaekXOiG9VuzYuUKzp4bjMHQEVWNQFUX8FLn9nh7+wDgcDgwmZycPvspRmM5\nbLbn8HCvi8MRiE4XRa5ceZPZ8tnQL5j81Rf8e6QtiuKFh0c0JlMsuXK9l+w6i6Uje/bNQygFsTs8\n0OnMSe8JUQVVruTEyRMu/uSyNJrP1tDIAVy6fJ6BQ/oRHdMUQU22bj/I4qVvMHXyTPLmebyUywL5\nizDz6zmsXPs7J06spkjhArzQ7jeKFyud7LpvZ05g/aZzCLoCCnv2LaZ5090M+GiEVpd+qJBCAAAg\nAElEQVSSCsSDdGQBhBD/SCmrP+x1ZlChRnm5aM/CR1+YDQkPCWfr2r+5cu0KZUuXIXfeXGzZvI2I\nqEjq16lL83ZNMZqMj54ojYTeDOPC6YvkzpOLYmWK5qg/og3jh9C63erMNiPLYHfYOfTPDm7cuEzh\nwiWpVqV+qk5XYuNi2LBxOdt37MFsduf5Nm2oU7s5QgicTiejvhjE3n2R3AppBLghxHJsthqYTBd4\n/ZUavNbtnQfOeyskiOjoSPL7FKbLK21xc1uGXu+d9H5CwgX0+veJi0vg+vUJCKU6QiSq3Tidv+Du\n/jflyoQx57us6SMq1zQdklLWdNX8ms/OOIKuBzN/1k/s2bMPo7uRtm3a8MrbL2eY+tLTwomdc7m2\n4/xT57cHD+vL8ROtsFo7JY2FR8ymedPL9Hq7L3+t/4PDR09RsEBe2rXtdF9g/Lj4XThF3wH/b+++\nw6OqtgYO/9aZSTJJJhM6iDSlIyBVqoUmqFwQBTtdUT9Q0GsD5AKiomDBqwKioqjYL4qiIqiIIlIs\nSEcBpSMgJb3MnP39kSEQSCCknYRZ7/PwkNlzytopKyt79uz9MNFR72FZGdM6bTuVxMQbeHbyGOrU\nzv0yv2eb3ObtUxXTAeDo3AMhY53SpODHxhhT5GtWna2J+URz35nHjA9fwdxssMq4sD8LUPdwHZ58\n4THCI8KdDq/E2nV4A0fGfkKDW8/+76HsrPrtR9794D1279lD/Xp1uPG6ftSoXrtA77F85SIeeWw2\nXu9MUlJS2H/gACkpe7FkICPuvoObrr89VyvDvDh9EvM+9+PzjUHEwph04uJGcvMNNUhP9zPzjR9J\nTPw/LKsVxiwGnqRM6Wge+Hc/unS6ukD7VFCKoJjWnF0EEuISuL3fMA72PEj0NdHY8TbJ05Jp42/F\nf54c7XR4Z51QGwRJT0+jx7Wd8fkWI3Ls973fv4/09OvwxcTwz8E2uNzt8fv/xO16m7GjH8jXahxz\n573J9BlHiI3N+kr0oUMvcNtgN717Dc7ztUu63ObtU63mceYTgFW+xR9J4NXXXiPynUjcFTO+PKaT\nYdPw3/lu/hI69+zocISqJFr8/XwmPT0DkbsID6/D90uWsnzFcJ6dPCXfoxrH++nnldh2N0RcREZG\nU61qNFCdxMSrqVa1Rq6XWBw0YBi7do/itzVX47LqEQisoV3bhlzfZyAul5uYGC/TX7mPg//sIyzc\nR5nSkQzsdyOdO/YssL6UNJqzi8Y3877lUPPDxN4WXEa0LIQ9FsbynivZ9sd23VxF5YtluXC7w7Dt\nRFyuY8W0bceTmJhIWtrVxMYeXRP6EpKTGzHlhXG88Wr7PC9hGx0Vg+XafFK7y72fGG+9PF0z1Jxq\nzrRywO9r/sBcQGYhDcHVErpZLP9uhRbT6ozZts2MV2cQFjYRjydjxbTw8BrExbl4653XGTPy8RzP\nPXBgL/MXzmXb9p3Ur1ubzp16nHJnQl9MDHAwm2f+ISrKm+uYIz1RPP7IFP7a9kfGDo1VBlOlyvmZ\nz/e+pj+9r+lPUlICBw/tp3y5c4iI8OT6+krl1R9bNyMnTJ4Rt2A1sdixdWeWYtq2bea99zlzPp5L\nfFw8TZs2YcBtfaly3rlFHLUqKVwuF507dmL+gmn4fA9lvjKXlDSViAiL8PBuWY73eJpy6HCA/Qf2\nULFC3r6vWl/UkYjwl0hKXk5UZCsAkpN/JjxsCW1aDc13n0KB7sRRzHh90Zj9hhOn39j7bUr5dFUN\ndebi4w9z6HByZiF9VGTkxazfsDHH8zZvWc+QoYN5+910li67lFde28mddw1g/4E9OZ7TscMVuN1z\nSUs7NsqRkPgVMTE7uLBx6zOOvUb12rRp3TlLIX28qCgvVc49TwtpVWSqV6kOJ7zP1dgGe53NOdUq\nZWl/5bnXmPbdDA6PP4y8Iyy98EdGDLuP/XsOFGHEqqS5deBdNG60jcTEa0lMHEVCwtW0b2dRu9YF\n+AP7shxrTDKYpDMarDiR1+vj0XGPER01nsTEfiQm9cfjeZgJYyfg85XOb3dCgo5M54Ft26SmpOGJ\njCjwN+jVbliLc+yK7P5wD97eXkSEtG3puN616Dbp8gK9lwoNUVFewsNs/P59uN0VMtvT0jdTpUqF\nHM97fupzpKaNwOe7MthyBQcPTuett1/lnrsfzvaccyvX4MF/j+Dp524nKakmxiRSpnQ848dMIsxd\n8G/O2rlzK8tWfIvB0KrlZSG9aYsqGl16dOT9fh8QVzuemJ5e7ASbhKkJXFipMefXOy/zuCMHj/DJ\nF/PwfuzF5cuYgeO72UfcwTg+/eAzBt3d36kuqGIuOjqGJx59nq1/bmTP3h1Ur9aPqlVq8v2S+Uyc\nPJ1AoCEuVxmM8RMf/yLt27Ykxht7+gufQoP6zXhz5v/4ffMaAOrUaoTbrSVibuln6gwYY/hizgLe\nfGM2h48cpnTp0vTvfwtdr+5SYPewLItHnhjLuFGPsuvdXVhlLKytFiOG3kXN+tmPzil1KmFh4fTs\n3oP3/zeB6OhxuN1lSUvbQsA/hRv7DMn2nOSUJH7/43d8vq5Z2qOierJ02UDuuTvn+7Vv14WWLS5m\n0x+rCQ+LoE7tRoWyHf3cee8w49XZBPxXgFi8/sZwBvTrQ59rtEhRhSe2TCxPPzeJac/P4JenVxEe\nHsaVXbsx+IkBWQZXdm3bg3W+K7OQPsrdws2GN0N3c6Gz1dFXkwtqgE1EqHl+fWqeXz+zrX27rty8\ncwfvvn8tYtUh4N9Os6Y1GT5sfIHc0+1206Be0wK5VqjRYvoMLJz7NS/MmUrEsxHE1okleUMyz/3n\nBcLd4XTofmmB3eecapWY/ubzbN34J0kJSdS6oBaRUfoytsq7vjffTsCeyqef9SElJZKoyAB3DR1I\n61adsj3e7XLjclnYdgIu17ERD9s+hNcbhW3bLF/xDYsWL8ZyWXTu2JnmTdtn/iJJS09l//49pKQm\nExMTy7mVa5w2RmMMXy/6lLffe499+3ZTu1Y9BvUfRKOGLU86du/fO3n51TeJ9MzOHG33+2/m9Tdu\nok2rS6hy7nknnaNUQalaswqPT3kEv9+PZVnZ/rFYsXJ5An/5sVNsLM+x5/3r/dSoqt+fZ4sdO7fw\n0ssv8vOvK/B4ormy25X0u/n2Qpl6JiLcfMNt9Oh+Hdu2/UHZshU4p5K+4bU40GL6DLz11juEPxpO\nRJ2M9Z4j6kdgjzK8OfHtAi2mIfhXqY5EqwLidru5deDd3HLjbSQkHKFUqXI5voSXmprC0h8XEhsb\nyfYdAylf/nnCw87FtlNJSZnKzTdewdPPPcK3i3cC12JMgO+WvESP7iu549Z7+XXVUsY/9gjp/lYY\nOxaRYVzfpzv9br7jlDHO+/x9ps34lPDwUURF1eGPLT8ycsx4Jk2ccNJoyc+/fE/A7pRl2orbXRbb\n7sbKnxZrMa2KxKleBi9bsSyXtrqYReMWE31vNFZZi6RFSYS9F0bPF64qwihVYTl4aD/3PjCcxKRb\niYmZjG0fZs7Hz7N7z1jGjn6y0O4b442l4QWFtsqmygMtpnPJGMPfu/6mVIOsbwL0XBDB3h17C+Qe\nf/2+jb937aN67WpUqlKxQK6p1PE8nkg8nsgcn09MjOf+kcPYtr08AftW0tJ+4a+/OlG+XAvc7n10\n6tiKurUb8tqs+Xi972Sug2rbl/PpvD507tCNR5+YAEwhxpux0H8gcAfvfdCfFs1b5fgSYiAQ4I3Z\nb+LxTCM8POOPSG90J+Ljk5n9zps8Nj7reSIWQiCbK/lxuTStqeJhxKi78Dzl4b0OH5KUnESYy03L\nZi2wTrE50ub1W/hm/rckpybTtm1rml/crFCmSan8W/jVXBITO+Pz9QHAsirh841nxcoe7Ny5Ncc3\nTquzj/6E5pKIUL1WNZJXpmRpT16RzHm1a+Tr2onxiYy862GGPjSCx+Y/weAht/P0hOfw+/35uq5S\nZ+rjT95m61918XqnUCq2D+fVmEjFClPx+fbyyrRp3DfiP6xd/zMBf5csGwpYVjTGdGD+gvdJS6uL\nx3NsxyyXKxbbvoZvF3+V430TEo6QlGRnFtJHeTzN2LL1z5OOb9XyMlyub0hP357Zlp6+G5frS1pd\n1CE/nwKlCow7zM3GTZuIuc1LzRXnU2NtDf68+i/uu/tBkhKSTjr+k3fnMXzkfXxUbi7z6y5k3OuP\n8uSYp7Bt24Ho1els3roNy8q6O6CIG5erHrv3bs/hLHU20mL6DAwaNAD/I+kkLk4kcChA4qJEAo8H\nGDgwf294mj7lFVZVXY1/pp/9w/azf8p+5mz+mHdeer+AIlcqdxYv+RFPRK8sb6Lx+TqQnByBBEfH\nvNExWK6T15K2rP2EhUWQ7Qte4j5lQRAd7SMyUrIUxwCpqWupXq3qSceXLVuREXcNIy1tIPHx44mP\nn0Bqal/uunNIntdaVaqgrVmxlu3uHcQOj8Vdzo0VYeG70ceRJvF8/+UPWY49cvAIL8+cSeRMD7GD\nYom9zof3VS9Ldi7llx9WOdQDdSq1atbAtrN+bYxJJxBYr1PNQowjxbSITBaRjSKyWkQ+EpESsYBy\n6w4X8ch9Yzl/1nn4e/upNbsmj40cT4uLm53+5Bykp6WzaNG3JPVO5kDyAdLP8WNqQ/KdyUx96SUS\n4xNPfxGlCojH48G2E05o9WNMSuYbatq17UJY2NekpKzOPCIpeRkREb9yba9BuFxrSU37I/M5207C\nko+4uF3O7ytwu93c0Od6kpPHkJr2B8bYJCX9iGEKN994S7bndOrQnddfeYPhw+py99BazHplFl0v\n75X3zqtTKql520l7d/4NDcxJKzwE6gfYuWNXlrY1K9dByxM27AoX7Ktslv+4okjiVWema+erifF+\nS1zcbAKBeNLTtxMXN4q2rRtT+ZzqToenipBTkwsXAiONMX4ReRIYCTzoUCxnpMXFzfJVPJ8oPd1P\nWnoa8XY87iousDKSrqumi7TwNBZ9tpjuN1x5mquo3NpZ6RANnA6iGPvXld145r+vYttNsaxIjDHE\nx79J40Z1KF2qHABlSpdn7MNjmDjpfpISq2Dw4/XuY8yoxyhXtiL333sfTz51B0dSumAHfISFfcmV\nV1xE40atTnnva3v1JTw8nHfeH86hQ/9QvVpNbh34bxo3vCjHc8qWqcDlna8t0M+BylGJzdtOqV67\nGnwoGNsg1rGC2r3SRc0OJ0xpioyAuGwuEp+xI6gqfkqVKsszk5/nldems/KnaURGRnPDdVdy0/W3\nOh2aKmKOFNPGmAXHPVwG9HYijuIgKjqSSuUqcuCnf6D+sWRrz7XxXBjBuk3r6Y4W0wXh3FL1T9y4\nTJ2gU4cebNy0kfkLrkakObCNKlX83H/P01mOa9akHW/PmsPGTb9hWRZ161yYubJBuzadmflSQ5Yu\n+4qUlGSaNhlPrZoNTrv+qojQo/sN9Oh+A4FAANcp3qSlip7m7TNXt3EdGpW/gFVjVhM5OBLxCEnv\nJVF5Z2Xadsm6I+iFrRsT+WQkSUuTiGqbUTyn707H9ZGLjs8U7GpRquCcW7kGY0c/4XQYymHF4W3v\ng4D3cnpSRIYAQ4CTtmo9WwwY1I/7Rj5EYL8/o6BeDvKt4Lf9fL/1ByLDI+lz87U59n/Lhq3Mee9j\nNm76neS4ZFLsFMqVL8e1V1/N5b06F/gujersZVkWd/3fQ/S+ZjubN6+nTJke1K/XNNvVBMLCwrNd\nAxqgXLlK9Oie/fSM3NBCutjLMW+HQs7OLRFh7KSHeW/mh3w5fAHp6X6uuvgK+k67ifCI8CzHhoWH\nMWHiWP4z6hESqydCNPArDLvzTmrU0SkDShVnhVZMi8hXQHaZdLQxZm7wmNGAH5id03WMMTOAGQAX\nNG9gCiFUx3XofiltP2jNbz+uRvZakAbxJg67r4XVxuKLpQv47s4lPD/t2ZN+Of22fA1jHhlH6tWp\n/PP9QQJ9AriauEhxp/Lc9BfYs2cvA4b2dahnqqQ6p1I13QwgBBVE3g6FnH0mPJEe+g+9hf5DT//H\nZd3GdXhrzmusWbmO1OQUGo5uSEystwiiVErlR6EV08aYzqd6XkQGAN2BTuboPpxngbTUNH75YRWJ\n8Ylc0Kw+laqefmRGRJj4/KO8MHkqS5YuZe/uv4mYEUGlNpXwRHrgAjjiiuO9Nz9gxOi7Ms8zxjDl\nqec50jCOlM+S8Vf1E3ZLGDY2CQkJVHy2Av+75iOuvaWXJmSl1GmFat4uTsLCw2jWronTYSiVI2MM\nW7ZuYMeOLVSqVJV6dS8M+VfAHZnmISLdgAeAS40xJy+2WUJt2bCV0Q+MJaFmIqa8jbwkXHtlLwYM\n7Xvab7SYWC8jH32A7Vt2cseIofg6+rI8H3mJh1UjV2dp2/jbJn5bsxq5GPxNApg/DGm3pBE2NYzk\n1GRcVVxY51vs3rabuo3rFHh/lVKh42zN20qVZDt3buW3tSuI9ERxUYvL8Hp9pz8pH1JSknn0iVH8\numoXltUEY96jdq1oJoydXOj3Ls6cmjP9AhABLAwWmcuMMafea7iYs22b8aMfJfH+RLwdowEIxAX4\n8NY5NG7SiObts9/57UTlKpXFSnYROBLAFXts3mjaX+lUKFc+y7EvvzQT7gdrsAvrgMG+ysZ8bPBP\n9+O5zYOdYuPf5qdcxbIF11GlQpBt26SmpeCJiAzlEZizLm8rVVIZY3j9jRf58KMvMaYjlnWIsLCp\njBszngtPs3JSfrz7wUx+/iUWn++/iFgYY9i4aTIvz/wv99z9cKHdt7hzZJ1pY0wtY0xVY0yT4L8S\nn5D/WLuZQzGHiQ4W0gAunwtzg2Hhgpx3fjtRVHQkXTt3JmFiAoG4jO2S07amYb9oc12fY0uApael\ns2HdRkr/qzT2Xjuj8P4H6AT2Dzaxxkf8hHjat2xHWS2mlcoT27b5cM4srr+lB9dc150Bt17Pkh8W\nOh2WI87GvK1USbVm3Uo+/GgJUVHv4/M9gNc7Eds8xYTHHyE9Pa3Q7vvFlwuIjBqCSEb5KCJ4vUP4\netHXIb1Tp+6AWEDS09IRz8kjVhJpkZqeekbXuv2eW+kWfTnJPZNJ7JWIdafF8Jv+jxaXNM88xnJZ\nuN1uSkeUItbtg53gEhesBdcOFxGDIugefSX3jr47332DjKLi97WbWb1iLSnJKac/QamzwAdzZvHq\nrKUE7Bn4fN9xJG4sEydP46dfvnc6NKVUCFv07dcY0xuX69jUikhPU1JTz2Ptup8K7b5paalYknXd\nc5FIAoFASBfTxWFpvLNC3cZ1CNseRur6VCIaRABg/AYzx+ay7me2Rmh4RDjDRw5j8NABxB9OoFyl\nsoSFh2U5xuVycXnXznz+4nzKjy5PdHQ08f8kEPjQzw39r2PI/YNPOievdm7dydiRE9jn3o/ECq4t\nLobfPZTLrtK1T9XZy+/38/6HHxAVOZOwsIwtzT2eJgQC9/D2u+/QotnFDkeolApVAdvGcPISoiJu\nAnag0O7bvm1bvvrmQ2Jj78xsS0iYQ/OmLTL3GghFOjJdQMLCw3jgwX8TuDtA3DNxHH7jMAn9E2jl\nvYh2Xdvk6Zpen5dzqlXKsSi+9a5BNNvflO1tt7Nj8E4O33AY/74AX3z3JcsWFcz2s4FAgNH3j2Nv\n/31EvRtF1Iwo5GXhqalT+Ov3bQVyD6WKo6SkeJJT7MxC+qiIiAvYtWtXDmcppVThu6T9JVjyEbad\nnNmWmroRl2sjDRu0KLT7Duh3B+XLf0Fc/AMciXuf+Pj/4PO9wZ23F8yr4CVV6P4ZUQhaXdaSl2tP\nY/H87zjydzzNhzSlSZvG2W54URAiPOEEkgIkSwpcA64aLuzyASRdeHroFJq3b0ZUdGS+7rH+lw0c\nLHWQmB7HltYLPz+c5N4pLPzsa26rMyi/3VCqWPJ6Y/HFeEhN3URERN3M9uTk5TS5sKaDkSmlQl3z\npu3p2mUJXy68Eb+/K5brMGHurxj14IN4PPn7vX8qZctU4KUX3+S77+ezectmqlerzWWXDA/plTxA\ni+kCV/HcClw3uGh22f3u8yV8t24JrnstXNdnfCn9hwMcOPgP5S4ox7qf1tHy0vz9hZoYnwRls5kL\nXg4O7ziSr2srVZxZlsWg/gOZ8vwoAoH7iIioS1LyMizrBfre9LjT4SmlQpiIcNf/PUS3y9fy66pl\nREZWol3bNyhbpkKh3zvSE0XXLtfQtUuh36rE0GK6BJu/8EtcjS1IP1bsukq5SD+Qhj8hHVcBzF+q\n36Qu5gmDf78fd/mM6xnbwHxo3T37raSVOltc3rkn0dFRzH5nGnv/3k3DBrUZ0Pcx6tW90OnQlFIh\nTkSoU7sRdWo3cjqUkKfFdAmWHvAT1TqKpA+SMVcZpHRGUW2vNURsDadRywvyfY/YMrEMvKUvM2+b\nhbnJYMVa2J/YNDIX0Lpz63xfX6nirl2bLrRro0MwSjll/ysfU/7Wq50OQ6kcaTFdAhz+5zDLF63E\nn+6nWbumnFMtY4vyDu0vZf1PGyjTrTQH+xyCS8DsNbgXuJnwxrgCW83j2n69qNugDvM/X0BiUiLt\nO7bjkivaExam3z5KKaUKT6V6pWGv01Gogvb3vl1s3rKe0qXKUq9uk0J7b1lR0WqokKUkp7B98w68\nPi+Vq59zxuf/8NWPPDn5KQKXBDAeg3WHRb/rbua6Ab3pek0XlixZypplaynTvTTpK/yErw9n4suP\n0KhlwwLtR8MWF9CwRf5HupVSSikVmmzb5qVXnmXe519jWc2BHVSuHOCxcZMpV66S0+HlmRbThejL\njxcyfdrLBKoECOwPUP/ceoye8BCly5XK1fnxRxKYNOlpXC+5iaqdsUh64LYAs/rOpkWr5pxf/zwe\ne248P3//K2tWraVs5zJc8tTFlClfujC7pZRSSil1xhZ//zmffrYRr3culhWFMYYdO15n0jOPMunx\nF5wOL89K9rh6Mbb+lw38d9ZUrNcsomZF4f3Uy7rmG3h0zMRcX+PXH1YRaBkgonZ4ZpurjIvAvwJ8\n//UPGY9dLi66rAWDRwzg6r49tJBWSimlVLE07/MvcLkHYVkZA4QiQkxMX9at38o/B/c5HF3eaTFd\nSD6d+xmmvyGsWsa8ZXEJvtti2Lj7d3b9tTtX17BtO/uvkGUwJnS37VRKKaVUyZOUlILLOnFNahci\nkaSmJmd7TkmgxXQhOXD4IO5KWbf6FJfgqmARfyQ+V9do1q4J1nKLtG3pmW2BuACueW7admhboPEq\npZRSShWmSy9uTWrqRxhjMtuSU5ZTpoxFpYpVT3Fm8aZzpgtJq6YtWbtwHbQ/1pa+Ix1ru0X12tVz\ndQ1faR/3Dr+bpwc/R/LlSZhIcH1hcV233tRpWKuQIlfq7BCfcISPP3mHH5auwOuNokf3q7i4XTdE\nTt6ESCmlVOHr0f1GvlsylL+2jQAuA7YTFjaP++4ZV6JX9NBiupB0u6YL84csYNfY3YR1dRPYE4BZ\nwrAhdxAZ5cn1dS676lIaNG3Asm+Wk5aaRounmlOjTu6KcaVCVVJyIvfcdwe7djclIuJ+ArsP8cTk\nl9m8ZQuD+g9zOjyllApJUVFenp38Ej/8uIBVq3+jYvlydO70MhUrnOt0aPmixXQh8fq8TJkxmflz\nFrL8reWUiS3Lv0Zdmafl5SpULk+PW7oXQpRKnZ0WfTuP3XtqEhs7OrMtEGjKnI970fNf1xXJlrtK\nKaVOFhHhoeNlPeh4WQ+nQykwWkwXIq/PS+8Bveg9oJfToSgVUlatXotYl2Vpc7l8WFZj/vxzoxbT\nSimlCowjE1REZIKIrBaRVSKyQEQqOxGHUursVLFCOWx7W5Y2Ywy2vZ3Spcs7FFXJpnlbKaWy59Rs\n78nGmMbGmCbAPOA/DsWhlDoLdbu8B2HuOSQn/wKAMWnExU/n/PO8nH9ePYejK7E0byulVDYcKaaN\nMXHHPYwGTE7HKlXQ/n7m306HoApZlXPPY9yYUcTEjCMhsScJCVfQ7MJ1jP/PE7qaRx5p3lZO+bXS\nK06HoNQpOTZnWkQeA/oBR4AOpzhuCDAE4JxqJXffdlU8VOt9CTz+t9NhqCLQrEk73ni1DXv/3oHH\nE0UZnd6Rb7nJ25qzVUFq3OtB9k58yOkwlDqlQhuZFpGvRGRtNv96AhhjRhtjqgKzgRzXqjLGzDDG\ntDDGtChdTrfKVkrlnmVZVD6nuhbSuVQQeVtztlIq1BTayLQxpnMuD50NfA6MLaxYlFJKnZ7mbaWU\nOnNOreZR+7iHPYGNTsShlFIqdzRvK6VU9pyaM/2EiNQFbGAbcIdDcSillModzdtKKZUNR4ppY8y1\nTtxXKaVU3mjeVkqp7Dm1zrRSSimllFIlnhbTSimllFJK5ZFj60wrpZRSqvj6Y91m5v5vHnsP7KVJ\ngwvp3ucKSpUt5XRYShU7OjKtlFJKqSx+/HoZ9zx4P9/UX8Tv/TbzdtK7DB08gn/2HXQ6NKWKHS2m\nlVJKKZUpEAjw/PNTcU9247vRR1TrSHwP+Dh4+UE+fHOO0+EpVexoMa2UUkqpTPt27SfOisfTyJOl\n3dPFw8pVPzkUlVLFlxbTKuT8VmeT0yEopVSxFe2LxsQb7CQ7S7t/j5/SpXSLeKVOpMW0Cin1al/p\ndAhKKVWs+UrF0PaiNsT/Nx6TZgDw7/MTeCnANT17OhydUsWPruahlFJKqSxGPDSMtPFp/PSvn3FV\ndiHbhIE39aN1p1ZOh6ZUsaPFtFJKKaWyiI6JZvxTY9i3ez+HDhyi6vlViPJGOR2WUsWSFtNKKaWU\nylaFyuWpULm802EoVazpnGmllFJKKaXySItppZRSSiml8kiLaaWUUkoppfJIi2mllFJKKaXySItp\npZRSSiml8kiLaaWUUkoppfJIi2mllFJKKaXySItppZRSSiml8kiMMU7HkGsish/YVoCXLAccKMDr\nlTTaf+1/KPcfivZzUN0YE1K7XxRCzgb9vtX+a/+1/0UnV3m7RBXTBU1EfjLGtPYn52gAAAcmSURB\nVHA6Dqdo/7X/odx/0M9BSRTqXzPtv/Zf+1/8+q/TPJRSSimllMojLaaVUkoppZTKo1Avpmc4HYDD\ntP+hLdT7D/o5KIlC/Wum/Q9t2v9iKKTnTCullFJKKZUfoT4yrZRSSimlVJ5pMa2UUkoppVQeaTEd\nJCL/FhEjIuWcjqUoichkEdkoIqtF5CMRKeV0TEVBRLqJyCYR2SwiDzkdT1ESkaoiskhE1ovIOhEZ\n7nRMThARl4j8KiLznI5F5U0o5m3N2ZqzNWcXv5ytxTQZ36jA5cB2p2NxwEKgoTGmMfA7MNLheAqd\niLiAF4ErgAbAjSLSwNmoipQf+LcxpgHQGhgaYv0/ajiwwekgVN6EcN7WnK05W3N2MaPFdIZngQeA\nkHs3pjFmgTHGH3y4DKjiZDxF5CJgszFmqzEmDXgX6OlwTEXGGLPHGPNL8ON4MpLTuc5GVbREpApw\nFfCK07GoPAvJvK05W3M2mrOLnZAvpkWkJ7DLGPOb07EUA4OAL5wOogicC+w47vFOQiwxHSUiNYCm\nwHJnIylyU8goxGynA1FnTvN2Js3ZIUZzdvHM2W6nAygKIvIVUCmbp0YDo8h4qfCsdar+G2PmBo8Z\nTcZLSbOLMjblHBHxAv8DRhhj4pyOp6iISHdgnzHmZxG5zOl4VPZCOW9rzlbZ0ZxdfHN2SBTTxpjO\n2bWLSCPgPOA3EYGMl8t+EZGLjDF7izDEQpVT/48SkQFAd6CTCY2Fx3cBVY97XCXYFjJEJIyMpDzb\nGDPH6XiKWDugh4hcCXgAn4i8ZYy5xeG41HFCOW9rzj6J5mzN2cU6Z+umLccRkb+AFsaYA07HUlRE\npBvwDHCpMWa/0/EUBRFxk/HGnU5kJOSVwE3GmHWOBlZEJKMCmQUcNMaMcDoeJwVHOe4zxnR3OhaV\nN6GWtzVna852Oh4nFdecHfJzphUvADHAQhFZJSLTnQ6osAXfvDMM+JKMN3K8HypJOagd0BfoGPya\nrwr+xa+UKv40Z2vO1pxdzOjItFJKKaWUUnmkI9NKKaWUUkrlkRbTSimllFJK5ZEW00oppZRSSuWR\nFtNKKaWUUkrlkRbTSimllFJK5ZEW06pQiUgguIzPWhH5QESigu2VRORdEdkiIj+LyOciUue480aI\nSIqIxDoXfdESkVGneO4xEdkhIglFGZNSKrRozs49zdnqKC2mVWFLNsY0McY0BNKAO4IL0H8EfGuM\nqWmMaQ6MBCoed96NZCzMf02RR+ycHBMz8ClwUVEFopQKWZqzc09ztgK0mFZF63ugFtABSDfGZG42\nYIz5zRjzPYCI1AS8wMNkJOhsiciDIrJGRH4TkSeCbU1EZJmIrBaRj0SkdLD9WxF5VkR+EpENItJS\nROaIyB8i8mjwmBoislFEZgeP+fC4UZlOIvJr8H4zRSQi2P6XiIwXkV+Cz9ULtkcHj1sRPK9nsH1A\n8L7zg/eeFGx/AogMjgjNPrGvxphlxpg9+fz8K6XUmdCcrTlb5YIW06pISMZ2sFcAa4CGwM+nOPwG\n4F0yEnldEal44gEicgXQE2hljLkQmBR86g3gQWNM4+C9xh53WpoxpgUwHZgLDA3GMkBEygaPqQtM\nNcbUB+KA/xMRD/A6cL0xphHgBu487roHjDHNgGnAfcG20cA3xpiLyPhFNFlEooPPNQGuBxoB14tI\nVWPMQxwbEbr5FJ8bpZQqdJqzNWer3NNiWhW2SBFZBfwEbAdezcU5NwLvGmNs4H9An2yO6Qy8ZoxJ\nAjDGHAzO1StljFkcPGYWcMlx53wS/H8NsM4Ys8cYkwpsBaoGn9thjPkh+PFbQHsykvWfxpjfc7ju\nnOD/PwM1gh9fDjwU7Pu3gAeoFnzua2PMEWNMCrAeqH6az4dSShUVzdmas9UZcjsdgDrrJRtjmhzf\nICLrgN7ZHSwijYDawMKMaXqEA38CLxRALKnB/+3jPj76+OjPgjnhnBMfn+q6geOuI8C1xphNxx8o\nIq1OuPfx5yillNM0Zx9Hc7bKDR2ZVk74BogQkSFHG0SksYhcTMYIxzhjTI3gv8pAZRE5cSRgITDw\nuPlxZYwxR4BDwesA9AUWc2aqiUib4Mc3AUuATUANEal1Btf9ErhLgr9dRKRpLu6dLiJhZxivUkoV\nNs3Z2dOcrQAtppUDjDEG6AV0loxlltYBE4G9ZMy9++iEUz4Kth9/jflkvAT4U/BluaPz3vqTMddt\nNRnz3B45w/A2AUNFZANQGpgWfGlvIPCBiKwhY1Rk+imuATABCANWB/s3IRf3nhE8/qQ3s4jIJBHZ\nCUSJyE4RGZfrHimlVD5ozs6R5mwFgGT8jCilRKQGMC+4JJRSSqliTHO2Ki50ZFoppZRSSqk80pFp\npZRSSiml8khHppVSSimllMojLaaVUkoppZTKIy2mlVJKKaWUyiMtppVSSimllMojLaaVUkoppZTK\no/8H6Xgi1gP5NhgAAAAASUVORK5CYII=\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Cross-validation score: 0.969 +/- 0.039\n"
]
}
],
"source": [
"classifier_plot('Logistic Regression', lr)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The accuracy of this model as measured on the test set is higher than that for the perceptron model."
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.98148148148148151"
]
},
"execution_count": 19,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"y_pred = lr.predict(X_test_pca)\n",
"cv_scores['lr']=accuracy_score(y_test, y_pred)\n",
"accuracy_score(y_test, y_pred)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Support Vector Machines"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Next, we use a support vector machines classifier on the wine data. This allows us to use non-linear boundaries between the classification domains by using a kernel (e.g. radial basis functions, `rbf`).\n",
"\n",
"We can play a little with the hyperparameter `gamma` which illustrates how choosing too large a `gamma` can lead to overfitting of the data. By choosing `gamma=100.0`, the model overfits drastically, confining the green and purple labels essentially to the samples in the training set. Not surprisingly, this gives a very bad cross-validation score of only 51%."
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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BL09W/7oyz++Bh4cHSdq44oMvwTDwlNuM4jqRvH1juaXzrXyVmJQhh89OSKB9\n23Z56pXOr/797uQLDUfT0gBHIf1ufDw3te9AYB4fvpWdHZs30cUtY79hBYuFiobBP8eP57qd9k2b\ns2jWt9w97hXuGTeeRbO+pV2TZgUSoyj+isQ600qpykATYFMWrw1RSm1VSm2NjI6+3qEJJ6014996\ng4eiopjh68MEXx8W+niz+cf5rNlyxT9bgdq9Yxud0y2xBPBPWhrVtWaymxsd3C10NJv51GzClprK\nlm1bM+zr7+tL1eo1+CUhAX+/AKLQaA0LDU1bH1/+SEoiLTj4qiuIXLLox/k8bnG7vCa1u1I84+fH\n2r/+ICEp6fJ+WpNhjepLzEphGFk95/HqKoaGEVKlKvPj/7slmmgYzLIbdOveM8/tCXGtssvbkrOL\njyED72d/teo8lJDI5JgYHktI4Pdy4Qx/dOh1OX+bxk0Y9OTTDFUm7kpM4rbEJFLatKdRo8a8/enH\nTPv+O85Enr+mcwQEl+Kc3Z5hm6E15w07AXlc6tTTw4N2TZrRrkkzPNP1pgvh8gmISilfYAHwjNY6\nLvPrWuupwFSAZnXryQrpLnI04hRJpyO4Pd0wAz+zmUFK8cuK5XTOxbixM5HnmT5nNps3b8TH25te\nvfswsPftuLld/dewVEhpTl6IpGa65BWRlkZHyPCgAHelaKU1h9zdr2jjuaeGM2LMKHYlJ1HG3YM1\nKSkcMplo6e7Brx6evDt6XK56YmJiYwjLFK+PUngBCUlJ+Ho7hnr4entTr34DFuzdw73O25Vaa75J\nSqJTrz6Zm82V8aPG8vzLY1h2IZJwYLNh0OW2vnRt0y5f7QmRX1fL25Kziw9/X1+mv/8R63ft4GhE\nBHeGhtK+SbMcc3JB6tulGz07dibi3Dk8LBZeemcC8ZMn0Qk4pWHwD9/x6vjXaVG/Qf7a730br639\nk5bOpUntWjMjLp7Q2rWpUv7ax2QLAS4uppVSFhwJeY7WeqErYxEZXYiJ5o+tWzAMg/ZNm5OSmoqv\nSV0xFMLXZCIlJTnH9qLj4nj8+WfoGxPN497eRMfH8dnM6Zw6dZKxw5696rF33HEnn7/xCrWsVipY\nLCQZBnsMg1IWC/8aBmVNJsxKEW83OKAU3W/ueEUbtatU5esp01ny+2r+PX2aZkFBtPf0IjQkhAkt\nW+V6QmCTZi1YuXwpj6cr2HekpOARHEyZ4OAM+z4/7BmeHv08W2NjqGWzsdHNgq16TT7uf3euzpVZ\nhdBQ5n5c2XyaAAAgAElEQVQ+nS1/7yEqNpbBNWoSXjY0X20JkV+St28sJpPpcm+rq7hbLFQND+fL\nBT9Q4cgh3ki3ushNSUm8M2ki86Z9la+hJ01q1+XBJ5/mkWmfUz4tiQuGnXJ16vL6C2MK+jJcIjkl\nBYub23X9A0hcyZWreShgBrBfa/2Bq+IQV1r+5+989NEHtLfbMQMzlOJ/gx/lopc3u1NSaOgccmFo\nzSKbjbZZFK+Z/bR6Ja1jY3jUOVkjDHjPYqHP6l85fc9Aypcpm+2xHZu35PyQJ3j4q5mUSksk0jBo\n3OlWdu7Yxtboi9RKSkIbmk0WC+fKh3NXl25ZtlMqMJAH+/bP69uRwQN33cPQDetIjI2lrcWNo1Yb\ns81mRj3x9BWJvmJoGHM/n8HqTRv490Ik91WqQrsmTa94NHpemEwmWjW4/g80EAIkb4vCtf6v3xnm\n7p6h06aVlxc6KorjZ87ke3WPvl260a19Bw6dPEGAnx+VwsoVVMgus+/IYT6e8gkH/jmIm8VCl1u6\nMOzhwbJMqou48k+ZtsD9wB6l1E7ntjFa62UujKnEi4yO4qOPPmC6xY3KzqcLPmK18r/p03joiad4\n/vPP6B0XR5jWrFImqFuf23OxuP7hA/vpnKnY9DSZqG82c+TUqasW0wB39+zN7bd25dTZfwkOCCQ4\nIIDd/xzkjXffQl+8gF1rvMuVZ8oLYwp1LFtYSGlmfPwZ85cuYfaeXZQtV56JvftQp2q1LPf38vSk\nd4dOhRaPENeZ5G1RaDw8PUnINKfEAFK0xtPjyuF7eeHl6UnDmrWuqY2i4kzkeUaOGcUzaal0DfAn\n1jCYvGIZL1+I5L2XX3N1eCXSVYtppVQ3IBxYrbU+nm77w1rrmddyYq31WjKsrSCKgj+3baW93X65\nkAYIs1jonphEQmISX3w6lWVrVvNPdBT9mjSlY4uWuVpYv3zFShzYtIGu6bbZteYfu53yZa9eSF/i\n4e6e4fG0DWvW4rupMzl2OgKlTFQpX77QlnRKLyQwiKH33Y+jphCi6CjMnA2St0Xh6t6jNzP3T6S5\nYeDt7Hz5Lj6e8JrXZxnW4uLHFcvolZpCD+eyq8FmM2MD/Ll9xzaORkQUyPrcIm+yLaaVUm8C7YDt\nwBil1Ida68nOl58Crjkxi6LHMAyyGoRgRmM37FQIDeWxe+/Lc7u3d+3O4J9+pEZ8PF19fYk3DD5J\nSKBK46ZUC6+Q73hNJhPVKlTM9/ElTVxCAmu2bCIhKYmW9RvIY3BvIJKzRXHXs30H9u3fR78Vy2hh\nMnEKSAwN44ORo10dWpFy+sQJumS60+umFDXMZk6fPyvFtAtcrWf6NqCJ1tqmlHoF+FYpVVVr/SzS\nM3HDate0GTOUYrDNRqhzQkOU3c5yk5kPW7TKd7vlSpdh4pvv8vGUT3jz0D+Y3NzofGs33hg8pKBC\nFznYsncPL78+npZpqQQZBiNNJm7udRvPPvLYdenRF4VOcrYo1kwmE6OGPsmAvnfw9+FD9AwMpHnd\n+tdlzevipFrt2mzduoku6bYlGwZ/2+w85+xcMgyDfUcPk5SSQv3qNWQsdSG7WjHtprW2AWitY5RS\ntwFTlVI/ANc2eEkUWWEhpXlkyOM8OHUK3e123NAsN7vR7777r7kHuF71Gnzx/kckpSRjcXPL1fAQ\nUTDSrFZeeet13jbsNHOurfq4YfDIksWsa9ZCHj5wY5CcXYLExMfx57atWG022jRuQlhIaVeHVGAq\nhoZRMTTM1WEUWf26dOehnxfxZWwMvXx8uGi382lyCu26dKVc6TIcjYhg7BvjMZ8/T4BSHDGZeOqJ\nYfTudIurQ79hXa2YPqKU6qC1/gNAa20HHlFKvQFc25IIoki7q0cvWjZuwm8bN2A37Exq2bpAh1KU\npL+QU1JT+XXjeg4fPUx4+Qp0a9sePx+fnA/MpdiEeFZtWE90bCyNa9eheb36WfYy7zy4n/Dk5AyP\nI/cxmbgLzeo1v0kxfWOQnF1CrNm8kXcmvkUrmw1PDdOU4v6HBnNfn76uDk1cB8EBAXw6cRIzvp3N\noM2b8PX1o9e9gxh0W18Mw2D0qy/xvwuR3Obrg1KKE2lpPD55EjWqVM3Vw8lE3l2tmL4rq41a63FK\nqSmFFI8oIiqFleOhfjl//ianpLBq43qOHjtCePkKdG938+UHl5R0F2NieHL0CCqcPUsLbbDHZGL2\nN1/z8TvvFcjSTLv/Ocjo8WNolZxCeZuNjyxulGvWkjdHj71izVHD0JiyuNFvgkJ/HLy4biRnlwBx\nCQm8M/FtPjWZqOW8y/SYzcaDM6fRslFjmQdRQoSXDWX8syOv2L59/z68L16gj5/v5W2V3N25KzmZ\nJat+odZ1erplSZPtQCStdbLWOsuncWitTxdeSKK4iIyO4sGnH2ftR+9TbtFCdk+ZzH2PD+bk2X9d\nHVqRMH3uNzSNiGCstxcDAwKY4OfHoNgYPvr8s2tu2zAMXn/3TcalpfG6vx9Dg4P4xteX1C2bWPzH\nmiv2b1K7DsfdPdiTknJ5W4phsABFxw4drzke4XqSs0uGdTu308xmo1a6JUDLuLnRxzBYvX6dCyMT\nRUFcYgIhWdydDDGZiI+NdUFEJYM8Mkfkyl/bt/LVrC85fOI4IcHB3DtgIAcPHqTz2bM8FRhweb85\nMTFMnjqFiSV8rctTZ88yZ95cyqSm8NvFC1Tw8ODFsmXp7+/Hpzu3k2a14m7J+5hxu93O4t9/Y+GP\n8zl2YD/HgoJo6eWFp8mEm1Lc42bmu19X0u+WLhmO83B3Z9wLY3j2jVfpEBtHKcPOKrMbjW/pws1N\nmxfUZQshCpndOZclM4vWpNqsLohIFCWNatbmTa05b7NRxnmH0tCaZYamR6vWLo7uxiXFtMjRup3b\nee+18QxPS6V8bCxHzv7L2y+P4aK7B3+Uyzhcob+fL59u3YLNZiuxjzdNs1p5ZuwoHk1NYYhJ4a0U\ny9JSGX76NDMqVEApxd5D/zB91kz27N9HqcBAeva6jU6t21C+bNmrjil/4+NJnPv9N4agibHZWH8h\nkuGJiXxWvjxmpbBBtjPf2zZuypzps1i1cR0JiUm83LAR9avXkJU8hChGbmrUhMnKxGmrlfLOP8jj\n7XaWmM2Mb90m2+MMw2Dtju38/ufvmEwmbunYmdYNG8n//zeYIH9/HvzfIwz5cjoDDYMAs4kldgN7\n3XrcepXfD3Ftcqx2lFKztdb357RN3Li+nj2Lp202qsVEE65M1Le4UcVucHtyEicjIwktX/7yvmla\nYzabS/RSRut2bqdcdBSDgoOJjY7C12Sit9nMBpudcRcv0rB1W156eQzP2G185O/HhLP/8ukHE/nJ\nzx9bYCB33NGfRwcMuuI9PHTiODv+WMMCP188lImjMdF0SrMyIiWZP5KSaOftzbc2O726dM82tlKB\ngQzo3quw3wLhQpKzb2ylAgN5/PGneOizyfRISsLTMFhudqNT3ztoUKNmlsdorXn7s8kc/HUl/dHY\ntWbymtVs7tOX4Q8/ep2vQBS2+/r0pXb1GixbuYKkhAQ6tmlLj/Yd8nU3VORObroO66X/QSllBmTq\nfwly7ORxKqUkEwJ4OmexNTApLEoxPSGBxs4hC1prpick0KnTLSW6mD538QLVDINSQUGcTknhSHIS\nPkCAYfCrfwDtfbx5wGqlR4A/06KiiI6P5w83M9HJifiXKsUL8+YSGBjMPT17Z2h396F/aKvAw/ne\nlgsNI+L0aRpYrXwaFcVkw6B2+5vpdXMHF1y1KEIkZ9/g+nbpRtMGDfl1/TqsaWm80aIldatVz3b/\nvYcPsePXlXzr64OXM3/0MAzu/nkRvbt0kwdfFVE2m42Ne3YRHRtHw1q18jRxvVndejSrWy/nHUWB\nuNoTEF8ExgBeSqm4S5uBNGDqdYhNFBEVy1fg77NnqZTuduBBralucWeT2czd8Qm0slj4GzBXrc77\nj5TsB7HUrVqdRcqEoRQVypUnOTWF5NRUdtlsvDbyReZ8M4uGHu5orZkfHc10k4nSJkW8YRAIjPTw\n4OWFP1xRTAcHBLAm3b+Bp4cHVStX5lxkJCHtO/D4gIHUqybDNkoqydklS8XQMB6+485c7btp9y66\n2G2XC2kAX5OJTobBxt27pJgugk78e4bnxo2mTHQ05dF8YWhu7t6T54c8nmNnVUx8HLPmf8/6tX/i\n4eFB1+69GNCzd4kdenk9ZPvOaq3fAt5SSr2ltX7xOsYkiphBgx7gtT278EtMoItS7Nea1wzN7aWC\nmeflzaiXXyPi3Fk6hobRrG69ItkrnZKayobdO0lLS6NF/YYEBwTkfFA+NahRkwpNmzFyy2Ye9PTA\nAszVYKlbjw7NW/DX+r/YffIEdTw8iDUMws0mbFpjAyxublRScCE6+op22zVpyuTAIBZERdHPzxcF\nrE1OZmtgEN8Me7ZQr0kUfZKzRXZ8vL05aTJfsT3GbKJqMVzK9Ezkeb7+YR47tm0hMCCQ2/r0o1eH\njjdMR4LWmlffmcADFy/S39+x/GGSYfD48qX8Ur8BPdrdnO2xySkpPDFqBM1OR/C2lyeJ8XHMmPEF\nBw8e4HV5LHuhyfHPFK31i0qp8kCl9Ptrrf8szMBE0dGxeUsuvDCW4W+8CqkpVLK40crfjxVmMw//\n7xFaNmhIywYNXR1mtrbv38e4116mZmoqPsAHwKNDhnJnIY0dVkoxYfQ45i1bwnsrV2C327m5862M\n6nM7ZrOZgXfcxTPr1lIqMZGaHu78mppGLQUBgUGYzCbWxMfToP6V76fFzcKkCe/w+sS3mH70KO5K\n4V6mLG89N1IKaXGZ5GyR2a2tb+L+GVPpm5JCPU9PALYnJ7PZ4s6IFq1cHF3eXIiJ5vERw+kdE8NE\nby/Oxsbw2aSJnD4TwWMDb4xpAafOnSXqxHH6pVsr2ttk4kE3MwuXL7tqMb1y/Voq/HuGF9KtsvW+\nhwf91v/FkYj7qBZeoVBjL6lyMwHxbWAAsA+wOzdrQBJzCXJn1+60b9aCrxd8z96d24kqFcKwfv1p\nX8SXVUtJTWXcay8zwWalhfPpf/9arTz8xRQa1amX4QEHZyLPs3HXTtwtFm5u1gJ/X99sWs2Zu8XC\n/bf34/7b+13xWo1KlXlzwjt8MXMa23ftZHualWd8fGjj68cvsbHMdndn4oMPZ9lupbByTP9gMqfP\nn8Nqs1EprNwN0xsjCobk7JJNa01SSjLuFgsWN8eEs9JBwYwd8xLD332LaomJGMBJDy9eHTPumvKc\nK8xfuoSOsTE87iwWq7q7U9tu587533Nvn37F7nqykpqaiqdSmDLldi+lSEtLveqxBw7s56ZMSye6\nK0VzpThw9IgU04UkNwNo+gG1tNZX/xcURUJMfBy/rP2Lc+fPUbdWHTo0b345oV6rsqVKMXLI4wXS\n1vWyYfdOaqamXi6kAcIsFvolJfHLH2uo8cBDAHzz00LmfDWTm7UmSSk+cXNj7OhxtG9WOH8sNKpV\nm8/eeR+A/UePMHfhD/xx7BhVa9Rkcv+7chzDWL5M2UKJS9wQJGeXUNv372PylMmcOH4ck8VC927d\neerBR/D08KB90+b89PVctu/fh1KKpnXqFsvVHfbv3c19meIONpupalIciThJk9p1XRRZwalWoSLW\ngCA2J8TR0suxVKqhNQusVtp26HTVY8uGhXE40zLkWmsOA71KlymkiEVuiumjgAWQxFzEHTh2lBFj\nX6B1UiLVDYOFZjPfVqnG5Alv4+NV/MbFpXfu4kUOnzpBWEgZqoaH5/q41NQ0suqn8NGaKOfTAA8c\nO8oPX81grpcXIc4JGvtSU3n6nQksmDXn8nu378hhflu3Fo2m401ts12GKq/qVK3Ga8/LWDZRYCRn\nl0BHIyIY99KLvKgNOgT4E2MYvL90MW/ExPDGqDGA4+FNNzVq7OJIr03Z8uEc2beX9Csmp2lNhN1O\n2VIhLourIJlMJkaPGMW4V1+iS2wc4Wh+UyZ07br079Ltqsf27nQLD8ybS5OEBLr4+JCmNV/GJ0Cl\nyjSuVfs6XUHJk5tiOgnYqZRaTbrkrLV+utCiEvny7ofvMzw5iZ7+/gAM0prxhw8x56dFDBkw0MXR\n5Y9hGLw/dQqrf1lGPbOZI3Y7VRo25vUXxuKbi4kzLRs0ZBJw1mYj1Fkop2nNEpOZJ1rdBMDqtX/R\n1zAuF9IAdT08aJSQyPqdO+hyU1umz/uWpXPn0MewozS88uN8ut51D48NfKBQrluIayA5uwRasPQn\nBtisdHLm/2CzmfH+/vRev45/L0QSFlLaxREWjDt79+G5Nb9SKzmZFp6eJBgGH8YnUK9la8rdQD2v\nLeo3YOaU6Sz74zdORkVxR4OGdGreMscVOUICg3hvwju8P3kS7x47hl0pmjZvyfvDhhfJxQFuFLkp\npn92fhU4pdRMoDdwXmtdvzDOUVKcj7rI2RPH6Z5uwoJSins8PXjj998KrJg2DIN5y5awZPEiYuPj\nad68JY8MvJ8KoaEF0n5m369YxvHlS/jZzw9vkwm71ryzczuTpk3hpeEjcjw+OCCAwY8O5eGpU+hn\n2PEBligT1Tp0pJVz0qTNbsPtyqfzYgFsdjvHz5xm0XdzmOvjTZDZMSP+Lrude7+fx63tO8qyUqKo\nkZxdAp0+cYIOmQotd6Wo7ObGv5E3TjFds3IVRo97hXc+nUzihUhSlKJ9p868PPRJV4dW4EJDQni4\n/915Pq5uterM+PBTomJjsbi54efjk/NB4prkZjWPWUopL6Ci1vpgAZ//K+AT4OsCbrfEcTO7Yccx\n2yj9356pWhfo2pKTpn/B0aU/M87Dg9Jubiz/4zee2L6VmZOnUDoouMDOc8nSxYsY7eGBt/MvarNS\nPOXrS58/fmfk0Kfw9PDIsY27evSiYZ26rPxzDReSUxja6iZaN2x0+a/0m1vfxNs/LeRuw8DHue2U\n1coWBSMaNmbZX39wi924XEgDBJjNdDXs/LV9mxTTokiRnF0y1ahTl81/78kw/CHObueI3U7lcuWz\nPa44atekGW2mzuRCTDQ+Xl7FfhhjYZFVnq6f3KzmcRvwHuAOVFFKNQZe01r3udaTa63/VEpVvtZ2\nhON/mpr16jPv7z0Mct7ms2rNrLQ0bu3Wo0DOERkdxarlS1nk54evs+h8KCCAC7FxLFyxjMfuHVQg\n50kvPiGBUuaM66P6mkwou500qzVXxTRArcpVqFW5SpavNa5Vh1a9+nDfkp/pYbeTZFIsN5l5ctgz\nBPn7426xkGy6csWMZKUILoQJPH8fPsTsed9y5PAhKlSoyL1330uL+g1yPC7NauXLH+axZNliEpOS\naNG0GY/9b3CexpiL4k9ydsl0Z8/beGTFMoJjY+nm48M5m42PU1Ppefsd2RZVRyMimPfTQk4cOUSl\najW45/Y7ik2+MJlMlAku5eowhAAydmJm5xWgJRADoLXeCVQtxJgyUEoNUUptVUptjcziQRbiP6OH\nP8fCMmV5NCGRt+PiuCs+AffWbbi7R88Caf/Y6Qhqms2XC+lLWrmZOXxgf4GcI7MWLVuzNCkpw7bf\nk5IIr1S5wG5dKaV49pEhjJ84Cet99+P9wMN8PmUafTrfCkCnlq340+zG4bS0y8ccTUtjtdmNzi1b\nF0gMl+w8sJ9RL4yg7ZbNfJSSTPc9u3h93Gj+3Lolx2MnfDyJI9/NYYrNylIvT5pv2cywUc8SGR1V\noDGKIu8VJGeXOGVLleLT9z5kf7sOPKBhQlAwHR97kmH/eyTL/fce/oennn2KCiuX88Spk1RYuZyn\nnn2KPYf+uc6RC1H85eb+v1VrHZtpLVujkOK5gtZ6Ks5H4TarWy+Lka3ikvJlyvLtZ9NYv2sn56Mu\n0rNqNepWq15g7YeFlOGozUaa1rin+304YLNTrkKlK/a32+3MXbqY5Ut/JjEpidY3teXhAQPz1Jvw\n8L33MXTrZi7ExtDKZOKQYfCjxZ0JTzxVoOsrK6VoUKNmlit0hAQGMWLEKB77YCLN0xJAw1aTiWef\nfZ7QkIKdPT5z9lcMN+z0dD71qqLFQqmkJCbN+IL2zZpne80R586y9a8/+NnfDw/nHzv3BvhzOi6O\nRb+s4NFiOgFV5Ivk7BKqUli5XD/l7vMZ03jGZqWns9e6qZcXZeLj+WLmND55a2JhhinEDSc3xfTf\nSqmBgFkpVQN4GlhfuGGJ/HJzc+PmQlobuUJoKA1atmLCpg0M9/Ul0GRiTWIi890tTOnV+4r93/zk\nQy6u/pVxnh4Ems38vGIZj2/dwpcff5brhfXDQkrz1eTPWbTqF1bu30doeDifd+9JxdCwgr68q+rS\nph2tGjZm/c4daDSjGjchwNevwM+z/+AB3s60SklLLy9ORkRgtdmyXRf2+JnT1HYzXy6kL2liMrHi\nsPQ0lTCSs0uoM5HniYqNoWp4Bbw9va66766/9/KRf8YcdquvL6/9vbcwQxTihpSbYnoYMBbHEktz\ngV+A1wszKFF0vfTcSCbPnM4dq1diWG1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LGHvVCPxc/38aCy7NvkgmdZjBkoQ57F1WWZ9D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mbuTGb7mpOs2fcbS9P2c/x4Mh2junB9SgdSkp2lgnpCXAYp0VHM/vfj+FvnFve2Oxy38NHHN9Px\noWmwe3+9f6wozq68etCrF82g/eYjVX7S16FVa+Y88hIOhwOTyVQ88cuWlMjJtXsJDx3Hyd6RfLj0\nNowCA5P1VMlJ+04HXZq2q9oNCa+TdPgQL83+nDWbtxNo9WfCFYN54JYbsfpVfbEzV4+xK8EsmXwe\n/i6BUTkRDLj+HzQeZqVp48a0adbclXxXouZzqeW8YxeXWuq7rEQ8IS6jzKEhbmUlyCXPW7LS0+nH\nnd6u6l4MprZJMl1JS/QCVsTvJeiNMPw6uf6T+EX7YbzQhBX/3E+fPlOrtQSSUooeQ0fR4+yHClEh\nd0Azx5qZ0K4nubY8Qq3BmE3mMicd2hw21sStIDTUn4OHJhER8Sa+Pi0xjEIKCt7hlolX8uobL/DL\nr4eBcWjtZJX6grFj/Lhn8sNs3rKW5ydNwO7ohzZCUeofTLhhDMSWbk9JCXEZbGhhI3bpAXx9nyIg\noBO7k9YxQ7/CK9NHkLDmQKmgfiBrO05jRKlhKxZLYwzjCvZlbKElFU+YEfVfSvxSCDkzkYZTlTbO\ntwi3xVL6V6hvh65EFo3zjwRGRw9l6dSfCX4gEHNjEzmr8vD9wodbHr3mPK8svEHqyXQmPj6dnLy7\nCQ9+A6eRwYeL3+HA0bd45+lHzuvcJYdguJU1Ya+qS3GfbUiIO8Etb35MeQmy+3Vq7GL2LNtV3Et9\nvrWovZ0k05WktSY7SxHWtfRfm9ZufmRl2arlGjtW/0ByejpRzZtzwcWDq+WcQrid7RFaXGwiebZ8\nZvyxnAPLI3Aak7HZ4tm/fwQRTfpisRxnxPB+dO4Yw4f/W05Q0OfFKxQaxii+WXoDIy+9gmkvTwX+\nQ3CQa+KL03kPX86/nb4vP0XEmgNlXtd+yUA+fnESVuu7+Pq2ByAocATZ2fnM/fwTHmw9pFRQV8qE\nwnnGucCBuZKTHEX95xvTvcav4V40pawFU16880ECPrby/uVfkmPLw0f5MLTzRZjNZy6O5JaYtIcl\n634i15bPyB4DGNy7T3HPt/AuC3/4iezcUYSHXA+AydSM8JBn+GXTtew9fJj2rc6vaktlYjbUXKLq\nTqgzdyaXOdyjoutGTL6WlNjFDeYJofzWqSSlFI2bmMnZVEBAP//i7fkb82nS+PxqJH6y/Rk+nBdP\nUl4api4+GCvt9Pm1JRPGdmdC52fPt+lCVNqa8Cz27u9MaIhrCdmw0BvIzLyMoKCX+O+r79G8eRs+\nn/ceTsdlpZb6NpkC0fpSln8/D5utM4GBp5IYszkUw7ieX379gRvMHcu8bmArM3l5BsHB7Uttt1p7\nk7R3FhHPv1aqh6Z9WE/M5g+x2/+Cj4+rFJndnozZvIJ+F8fCkk3V+WURdZQtYTt0HH32A8/1vEmJ\nLNELANdS3s7UNNjjel3yCaWPxcLWg38QemcwrSc2xxxsYtfX+7h55qOsmBZLUEBAqfN+unwJ0396\nD+d4AxUIC5Z8z+UbBvHq/z0hCbUXStx7DJPpylLblLJgMUdz8FjyeSfTlVHTPb6uEntppbbFxSYW\nl96rLHfVkPpK/ndW0vioKYy5uAN5T6SS+2suzpNOcn/OJf+Zk4y5uH2Vh3ikxC9l0fJEDgxwYJoX\nQtZjNjJnO1itjrJy5Z4yJ88IUd3cPRy/rlmH1e+6UpNoQkIuJT/fD1X0yzwoMBiT+cxa0iZTKj4+\nfpT5N7qyYBhGudc/ueoA/v4Ku/1gqe2FhQm0bdO6VCIdMzCMxgk7ubPLRdhsk8jOfp7s7KkUFv6F\n2zv3wrRkk1dOZBG1yz3B0L0Sodsfu5exbdEMBmdVfR7KEr2AxpeOpcd1T9Bt0GR6XPdE8XCSkjF7\nY8J2kgIO0ugfofg0sWDyMxF+YwgZfTJZvnZ1qXOmZ2by8tLZBMz2p9FtoYSPCyVkdhArMtcQtyW+\nym0VNadbh+YYxpZS27S243Am1ngt8ZILs9S2gZO7Yk1OOqfjgXLHRdf18dLgoWRaKTVTKfWHUmqb\nUmqRUqpODHB87tq3uGv4RTR+2UHOqGNEzHRw9/A+/Ovq/1b5nD8H/E7C4XzyxudzIv8E9uYOdEfI\n/798Fq3bQ36+vfgxohA1zWq1Yhin1zN3oHUBfn6u8l4DB1yGj8+PFBRsKz4iL389fn6bGXfdnZjN\nCRTadhfvM4w8TGoRgwcOLfOaAyd3JTDlADfdMIH8/CkU2najtUFe3jo0/+HK/mOLj4Oi1Rcnd2VQ\n+z68eulEJkVncUeXk7x66U0Mi7pYEukaUhfjtruTY9uiGcUftoTtjFXjqlzN46s9UzFHNKZl2JnL\n0Z6eUB9OOYbuemaFB0c3J/tSDpfa9tuO7aiLwKfEgl0mX4UxxuCnbRuq1FZRs8aNHEFo0E+czPoC\npzMbm/0QJ7OeYWT/DrRtXj/Kc55L0lySuxqIW8mE+vSPgZO71vm47alhHiuBJ7XWDqXUDOBJ4MxZ\nIl7oX1f/l39dXX3nczgMbHYb2UY2llZmMLmCrrmDGZuvjc27s/DvsYDx5SxeIUR1cE92uXr0Fbz2\n3w8wjF6YTP6uuQLZn9CjeydsR02kfuXqQXjgwmG8u/Mx8nJboXEQFHScKU+9SJPGkTz28KPM+Pc9\nZBZchuEMwcdnBUP7dqf5hqNQQdmoIWnBFHZqxNKUBzh5Mo22bTowvmk/uqXklBlo3dvGcEnNfFHE\n6epk3K7OieFu3QZNLnefe3IjQMc2beEz16IuynTqZ9+ywULX6NKPya1+VnRWGSfMhiA//zJ2CE9r\nHBbGFzOf4pUP57Hqt3cI8PfnnhsH8fcJt9f4tUOjW0BcxlmPK9nre67DLNzvLWu8dMzAMBLKqDji\nXiK8rPfV9YS5Ih5JprXW35d4uR4Y74l2eAOr1UKzJpGc+C0NokusePi1gfVCPzJpCmVOtBKi+vXY\nazD68nYs//5alOoDHKBVKweTmo7EFLfqVDCMhTeaRpF0Yj9KKaKaXIl5zQFS1xygEzBz6E38dmgb\nBY59dG8+lHbhreg+KLzcmqXFEwtjFaM6D8BpGJiLhpXU5wBcl0jcPmXHmtgKE2q3Hp06c1Fgd9Y9\nt4WgSf4oqyJnfh5t97dg5KQBpY7t3+NCgj72J2d9HkH9XWOpbUftmBeaGXv/8Bq5D3H+2rVoyTtP\nP+SRa0e2MJMSu5iCFh1oPbr0ZNuS6wBEje58RmWQyiov/oZGt2BgdAtXnemzVBxpCDy+aItS6hvg\nS631p+Xsvwu4C6B1s+Z9di9dUZvNq3Ff7ZnK75uO8OaSjai7cSXUG0D9ojAbJiKMCHq2DWT4wA7c\n0396mefYuTeJJ+c/zsFjGRTkOrEpB2EhVoZd2J4X+z+AX1S32r0pUWe5C/CnZJ9gf/ohwvxD6Bhx\nASZlapABsjrVp0VbKorb9T1muycfllVyz+2P3cuwJWxnfNQU8gsKeO/rL/lq0wrsDjtX9hzK/df9\nBXvSalaHbC71vgMHMpj91SZ8uoRCEBAPz1x3LzeMvKKG70rUZeWVx5OYff4qG7drLJlWSv0ANCtj\n19Na66+Ljnka6AtcryvREG9YTasmzN/9Aq/OimNfk1zUBSawQfbmLNStJlpd0hL7WgfmD3J4+PZB\nZyTUH3/1PM/+/D22cQ6ylzhx3uDE3NNMU0tTmKUZ7NOY9y5/qsyyTUKI2lMXkunqjtv1NWaXtxhM\nSTvWxOJMTWOsGndG/K3o/fHzp5O0J51+TW7iopgYQoOCq7HlQohz4fEVELXWIyvar5S6AxgDjKhM\nIl1XFNpsTP/2YfLzHfxj+HO0blbW76XSbuj4DPm3P8P8b7fzx7pCjiWn4Pe+H80uaYbV3wrdINMM\nP/y4h4v93itetWv+7hd4bdWvFFxioeBnO47WDnxu9cHAICcnh8jXm/LL1Uf4YtAX3MYLNX3rQog6\nrqHGbXdy2z67aaVWRRwfNYWv9kxl26IZ5SbU3QZN5kjGTpb8fGrOS/zm99gbfBzfmO50KadkX+8b\nnsSyaAYjo2QugPBOWmt27k0i6dAhWjdrxoWdu1TLMup1mUfGTCulrgAeB4ZqrfM80Yaa8MYvjzHr\ny43kd7Gj2gTwxdTrubRre+67ZBB9et9T4Xtv6/ECAQFTOXYsm/8s04QMDym133+IleTvAtgbfJze\nuILygRMZ7DmagWoJjp5O9G6N7VYbPu/4kF+Yj7mVGWvnYFJTc2vwroUQDUF9jNsly9i5Jw7uLdp2\ntomL46OmkBK/lNUVJNQtw6JJY0nx673BxyvszRbiXO09fJiNCVsJsPozrO/FhAQF1ej18gsKuO/l\nN1i3JQ1l6gX6R7pFWZj97KM1fm1v5qlqHm8BfsDKor9m1mutK842vdy8P1/ggyVbMF4KptHwQACc\nj4YRNzmdqCOJ9KnEurXjo6bwacGzmPLNODOdmENPLQZj228nOPTU6ot7g4/zyzoDHgPTX82YTmiM\nqwz0Yo1jlgPr36wYBQaOAw7C+lur/X6FaCjiYhMxtIHNYcfP4otSqqGORaxXcTt+83sQXHqohfvz\nbYtmEL/5vbP2Ukf2HgN7NvPH7mXl9jS7uUvqCVEdtNa89vFnzFm0HkMPx2Q6jq/Pl8ya8nf6db+w\nxq47a/5CVsc3o1HILJQyobVm665XeXnOXF66/+xPdWpDWWPIazpme6TOtNY6SmvdWmvds+ijzgZk\nt0OHMils4UdgUSINYA4xo2/SbNp7otKLr3S1t6Bn6wBypufgzHJV8bDttWG8bTCotbW4t8ThMNi5\n4w/Crw7HOGa4Eu80YAQYcQahOoTsqdl0aWQlNEySaSHO1Z5lu1g9O4FvCpP5x89zuOu793hs/eds\nOLiVuNhE9izb5ekm1qr6Frcr6iXucd0T7A0+XqnzjI+agi1hO0cydp6xb9uiGbTPblr8ujIVQE5f\nZEaIsmzasZ0PFiUQFPAF4SGPEho0Da3/zX0vzcJmt9fYdeetWEdQwGSUcqWPSilCgibz9c/rK1yY\nq7aUXGLd/eHeXt5Ezeogy4lXE4fDQFnPHDOk/E3YnZUvbde7191cZz2KXpbIphGHIQx8s81cOzia\nJ7qd+t1lMiksFguBfoFou0HW4WzMyowjwYH5kBm/O/3o2SaAsddEV0udVcMw2Prr9+QVFhLTti2h\n0T3P+5xCeKvMncmkJDv5JTyT+Z9sxd//fUJC2pCZtZV306bQ7NrhEJ9GlKcbKrzCWDWOJT8vKDWk\nw60yY7Dd3Il0ddXGLrngl0xCr1+++WUDWo/HbD41JDTA2pPs3A78tiOBAT2rvsJnRQptNszm0nXP\nTcofp9PAMAyPLnsfF5uIMXAIkdGNSm13J9Q1udKiJNPVpG3bMIxlBRQmmvHr6hqOoR0avdCgV8tG\n5xQcJ0Y/x8RoyMrJISMnm2aNm+Dr41PqGJNJ0bNtIL+9nUnE0xEEBgaSnZaD8ysHN91+I5d0OonF\nYqqWoPxO3BPMnv8bJ4PyUeEWTAsNbhwRw/N975cALeqlhLgM7P0HMG/aHQT4z8HHpzUAVmtPnM6H\n+OyLz3my0ygydyaXWztbeL/yJhCe3qN8Nr4dup51Ya3BWb0qHF+9Y00sUD2JdMknoeaIxjhT02DP\ngmo7v/A8p2EA5jO2K2XBadTc2hSjBvRk8U8LaRR66o/EzJyvGdirGxaL51JK95PC0xPpkoyBQ4iL\nXVUjQz4kma4mN3V5ll3D/8FHkzZTOCEEo4mBc3EuXXVjeow4e0WPsoQEBZU7oH981BQKL38WY4ON\nnwb8TH7bAjgI/o39+e7gCoJtbZk2/p3zuSXANRZ81hebyH/cn/CrG6OUwrbXxpd3J9Gi+Ufc1+GV\n876GEN4oqI0P+QUGIcGtS2338+vGkSNHKBjWgYS4JAZKMl0nlazIYY5oTLdBk4vrQ8O59ShXhnt8\ndUXOJYEvT1ljwd1kCEn9ceWgPiz+aSGGMRqTydVTXFC4C4t5J3271twIrIdvu5EN26eSkrYfrfui\nVALhIRuYcvc/a+yalZGS7DzrCo+R0Y1IjauZ60syXY2eveYtbm+xhhmbY8nZbn3+TBEAABJkSURB\nVKNLry48Ofr1Gnvs4eNjxpnnJF8VwPVgbmfGiHCi7Iov/raLLl2e5daY58/rGvv2nqSwQwDBY0+N\nBfdt70v+jRY2rj2MrWWi9E6Lein3kJOQYCuFhbvw8+tcvD0/fwM9L+yANTmJmIFhHmyhOF/jo6a4\nFmFJXVCcaJZVF7o2dBs0mW2pM6jEXPUKVTQW3BzRmK/2TJXe6XpgUK8+jL9sMwtW3ordcTkm80l8\nLT/wxhN34m+tuXlSTRs15tu3p/Pd6tXsSIqnY5tIrhoy3eOVPNyrQVaUUKfsTK+xiYKSTFezdhcN\n4t2LBtX4deI3v8eWP4+yasdWzA+bME9wfSsdGU5OpKfRpFcT9ialQ8z5XSc/3w6NyxgL3gTygoI5\nmbmXyLM83hSirokZGEZC3BruvH0S/3nzKZzOR/Hz60xe/npMprcY438ZgAzxqAcqM0Sjvug2aLL0\nTtcTSime//tkbhi1m7VbthDob2XUgBdp2qjmK8YEWP0Zd9koxl1W45eqtKjRnUmJTSRlZ3q5Qz1M\ncTUzxAMkma7T4tMNzD1MYD+V7JrDzNhP2HDk2DFHnP/fYO0uCEd/sh9HqgNLhOvHRRsalkN0YzPh\noe3P+xpCeJvQ6BYQl0Gv/Zp/XBjN0ox3OZaSTFSrtkxoOZKoJu0aank8UQfsWBNbZuUQSaTrF6UU\n3Tt2onvHTp5uilcYOLkrcbGrSI2jeCJiys50THGrAGr0SaIk03WYw+kgYGAAefPz0VdpVLgrqTYS\nNKbd0OGy8gfiV9bNwRPZ1O0wS2/djc9fgzGFmrAtLqDdISsxwyJliIeot9zJcuQyMxcln6rbGtnC\nTNTozuW9TQiPKm91xuquFCKENxo4uSt7lu0iJc6VVJuonZgtyXQdkJaRwfRvHsfpNPhLy2H0vuxW\nYkIGExO0iX3bTDS6Ipz0G07CENDHNJbvLfz1zi5cmtfnvK/t26Erb3f4kDYrHmL9okPk2+1c2D6K\nKbfdS1DnHtVwd0J4t6jRnaUEnjhnJStqVCaBrc5e45IJtVtll0oXojYcOZ5CYtIeGoeF07Nzl2qd\nW+aJmK201rV8yarr07WbXvvJF55uxjnJLyhgz6GDhAQF0bb5uY+vfGbhvXyyYgvGZRZ8QgKwf53J\n6N6dGDG0Aw6HwftzN5IUmAkDrOSvzcVni8E9t/Tjia73SK+xEF7E2rfH71rrvp5uR22qizH7fLmT\naHeFkB1rYl2l6XAltO7FYBpfOpaWYdGlEl7pNRb1nWEYvBT7MZ8t24jZ1BfNQdq1KCD2uUdp1qSJ\np5t3hsrGbemZriG2pESe3vAfFv6SiNHawDihaRcUzh3jejOp97RKnePjbc/w6fItBHzWFL+OvgA4\n/xbID39JpUtUBA8MnckNzzl5cemD7NmSRmiElSefuIsWvfrX5K0JIUS9VN5KtZVNct3vLzm8wj12\neduiGbTULekddbergkjRIi+Ds3q5yuYJ0QAsW/0rc79NJjRoESZTAFpr9h76hMdee49PXnra082r\nMkmma8gbSbEsSNxH4IKm+LTxQTs1h2dn8+GCeIJDKleaaNcfJ7AMDytOpAHMjcw4r3aScBhS4pcS\n2XsMz1zzZk3eihBC1HtlJcLgSoLPpZxcRUuUr140g/GMaVAVRIQoae6ytVgsd2IyBQCuSZShwTfz\ne+Jcjqen1Uo1kprguXUf67GU+KWs2bwf0yQffNq4Vi5UZkXI34I5qhSpx3MrdR6tddnfIZPGcfRo\nNbZYCCFEWYmwe1vJpbmrwr3CoRANWW5eIWZT8GlbzSjlT35hoUfaVB2kZ7oGHFFHyA9ujKXZsVLb\nlVlhbmoiL89eqfN07twE0yeHsR2w49vWlZQ7s5ywxKDHpc3k0aAQZxEXWzoBknJ2oqaVV5bOmZrG\nWDXOAy0SwnuMHtyd1z/9Gn+/HijlqkCWV7CJpo00rSOb1dmYLcl0DWipWxLlu56klQ4osX6L/ZAd\nY5+dZiMqt1LQFUY//rg4lc8nbMN8fQjaH5zzMxnRuQP3tr2zhlovRN0XF5tITmEeK3atYYtRQFBQ\nAEN9GqFna7oPCpfFVsQ5q8yE7pJVNNwTDN0TENtnN8W3V91IDISoKbeOuYrv1kxj94GHgUvRHMTX\n5xtuaX856+b8AVC8imFq7OLi5Nrbk2pJpmtAZO8x9LdsZP2cg2Q+m4XP5RacR53YZmUxvk80Iwsv\nqvR5pvcew7Cmr7Fs3w7sdifR43pw35BXavgOhKi74mITybcX8OL2bziS3As/v6txJp8k0Tmb1Kim\nqDhF5L5sqRUtSmmf3ZRti2bgG9OdLh1HA5SqxFFZ7rHVX/08lTSWlNomREMXFBDAlzOf5ft1cazf\ntoYWEWH0UrdCTtgZS4GfnlR7c0ItpfFq0Oq1b/J5Yjw7DqUQYrUyqHdbnrj8dU83S4h6LS42kY0t\nC3l71nZCQk6VHXM6s8jPv47/ffAxxsK1tR6YpTRe3XB6RY+xapyUGRWiBsXFJp6RSJ8uNXaxR5Jp\nKY3nBQYPuI/BAzzdCiEajsydyRS06MCWbfNQpmGl9pnNIZhMPdi37w/aeqR1oi6QXmQhxLnySDUP\npdRUpdQ2pdQWpdT3SikZwCiEqBbW5CQimzbBMA6U2q61xjAOEh4e4aGW1W0St4UQomyeKo03U2vd\nQ2vdE1gKPOOhdggh6hH3xMK+7YfiY1lIfn48AFrbyMqeRfsLggj+8Q9PNrEuk7gthKgRqbGLy913\naNn2WmxJ1XgkmdZaZ5V4GQjUnYHbQgivNnByV1ru3s+DPQcTHPwcObnXkJNzJb0v3MH9FwxBKeXV\nE1m8lcRtIURNcMfjshLq1NjFWJOTvD5me2zMtFLqReA2IBO4tILj7gLuAmjdrHntNE4IUacNnNwV\nYuHVZp1IzUnDz+JHmH8IkS3MUsXjPFQmbkvMFkKcq4GTuxIXm1hmQu3tiTTUYDUPpdQPQLMydj2t\ntf66xHFPAlat9bNnO2ddnBkuhBBQN6p5VHfclpgthKjLPF7NQ2s9spKHzgWWAWdNpoUQQtQcidtC\nCHHuPFXNo2OJl9cAMiNICCG8mMRtIYQom6fGTL+slOoMGMAB4B4PtUMIIUTlSNwWQogyeCSZ1lqP\n88R1hRBCVI3EbSGEKJun6kwLIYQQQghR50kyLYQQQgghRBV5rM60EEIIIbzXjj27+finrzmceYxL\n2vVk4mVjaBwW5ulmCeF1pGdaCCGEEKX8uGEdE955iCX9fyLh7j95O+Azrp16L8fT0zzdNCG8jiTT\nQgghhCjmdDp5dt6b+LxiIfzGEAIvDiD8kRBSR6cT++1Xnm6eEF5HkmkhhBBCFDuSepwMnyz8Y6yl\ntvuPsLJq9yYPtUoI7yXJtBBCCCGKhQQGonM0Rp5RarvjmIMmQeEeapUQ3kuSaSGEEEIUCwsOYWT0\nADLezsawaQDsxx043ndyx5DrPdw6IbyPVPMQQgghRCnT7niQwtk2Vl/7G+bmZjigeHjUJEb06+/p\npgnhdSSZFkIIIUQpwYGBzHrweZJTj3Pi5Enat2pNUECAp5slhFeSZFoIIYQQZWoR0ZQWEU093Qwh\nvJqMmRZCCCGEEKKKJJkWQgghhBCiiiSZFkIIIYQQoookmRZCCCGEEKKKJJkWQgghhBCiiiSZFkII\nIYQQoookmRZCCCGEEKKKJJkWQgghhBCiipTW2tNtqDSlVCpwoBpP2QQ4UY3nq2vk/uX+G/L9Q+1+\nDdpqrSNq6VpeoQZiNsjPrdy/3L/cf+2pVNyuU8l0dVNK/aa17uvpdniK3L/cf0O+f5CvQV3U0L9n\ncv9y/3L/3nf/MsxDCCGEEEKIKpJkWgghhBBCiCpq6Mn0+55ugIfJ/TdsDf3+Qb4GdVFD/57J/Tds\ncv9eqEGPmRZCCCGEEOJ8NPSeaSGEEEIIIapMkmkhhBBCCCGqSJLpIkqpR5RSWinVxNNtqU1KqZlK\nqT+UUtuUUouUUmGeblNtUEpdoZTapZTao5T6p6fbU5uUUq2VUj8rpRKVUjuUUg94uk2eoJQyK6U2\nK6WWerotomoaYtyWmC0xW2K298VsSaZx/aACo4CDnm6LB6wEYrTWPYA/gSc93J4ap5QyA28DVwJd\ngYlKqa6ebVWtcgCPaK27Av2BexvY/bs9AOz0dCNE1TTguC0xW2K2xGwvI8m0y+vA40CDm42ptf5e\na+0oerkeaOXJ9tSSi4E9Wuu9Wmsb8AVwjYfbVGu01ke11vFFn2fjCk4tPduq2qWUagVcBcR6ui2i\nyhpk3JaYLTEbidlep8En00qpa4AjWuutnm6LF7gT+M7TjagFLYFDJV4fpoEFJjelVDugF7DBsy2p\ndf/BlYgZnm6IOHcSt4tJzG5gJGZ7Z8y2eLoBtUEp9QPQrIxdTwNP4XpUWG9VdP9a66+Ljnka16Ok\nubXZNuE5SqkgYAHwoNY6y9PtqS1KqTHAca3170qpYZ5ujyhbQ47bErNFWSRme2/MbhDJtNZ6ZFnb\nlVLdgQuArUopcD0ui1dKXay1PlaLTaxR5d2/m1LqDmAMMEI3jMLjR4DWJV63KtrWYCilfHAF5bla\n64Webk8tGwiMVUqNBqxAiFLqU631rR5ulyihIcdtidlnkJgtMdurY7Ys2lKCUmo/0FdrfcLTbakt\nSqkrgNeAoVrrVE+3pzYopSy4Ju6MwBWQNwE3a613eLRhtUS5MpD/Aela6wc93R5PKurleFRrPcbT\nbRFV09DitsRsidmebo8neWvMbvBjpgVvAcHASqXUFqXULE83qKYVTd75B7AC10SOeQ0lKBcZCPwF\nGF70Pd9S9Be/EML7ScyWmC0x28tIz7QQQgghhBBVJD3TQgghhBBCVJEk00IIIYQQQlSRJNNCCCGE\nEEJUkSTTQgghhBBCVJEk00IIIYQQQlSRJNOiRimlnEVlfBKUUvOVUgFF25sppb5QSiUppX5XSi1T\nSnUq8b4HlVIFSqlQz7W+dimlnqpg34tKqUNKqZzabJMQomGRmF15ErOFmyTToqbla617aq1jABtw\nT1EB+kXAL1rrDlrrPsCTQGSJ903EVZj/+lpvseeUG5iBb4CLa6shQogGS2J25UnMFoAk06J2rQai\ngEsBu9a6eLEBrfVWrfVqAKVUByAI+BeuAF0mpdQTSqntSqmtSqmXi7b1VEqtV0ptU0otUkqFF23/\nRSn1ulLqN6XUTqXURUqphUqp3UqpaUXHtFNK/aGUmlt0zFclemVGKKU2F11vjlLKr2j7fqXU80qp\n+KJ9XYq2BxYdt7HofdcUbb+j6LrLi679StH2lwH/oh6huaffq9Z6vdb66Hl+/YUQ4lxIzJaYLSpB\nkmlRK5RrOdgrge1ADPB7BYffBHyBK5B3VkpFnn6AUupK4Bqgn9b6QuCVol0fA09orXsUXevZEm+z\naa37ArOAr4F7i9pyh1KqcdExnYF3tNbRQBbwd6WUFfgImKC17g5YgP8rcd4TWuvewLvAo0XbngZ+\n0lpfjOsX0UylVGDRvp7ABKA7MEEp1Vpr/U9O9QjdUsHXRgghapzEbInZovIkmRY1zV8ptQX4DTgI\nfFCJ90wEvtBaG8AC4IYyjhkJfKi1zgPQWqcXjdUL01r/WnTM/4AhJd6zpOjf7cAOrfVRrXUhsBdo\nXbTvkNY6rujzT4FBuIL1Pq31n+Wcd2HRv78D7Yo+HwX8s+jefwGsQJuifT9qrTO11gVAItD2LF8P\nIYSoLRKzJWaLc2TxdANEvZevte5ZcoNSagcwvqyDlVLdgY7AStcwPXyBfcBb1dCWwqJ/jRKfu1+7\n/y/o095z+uuKzusscR4FjNNa7yp5oFKq32nXLvkeIYTwNInZJUjMFpUhPdPCE34C/JRSd7k3KKV6\nKKUG4+rheE5r3a7oowXQQil1ek/ASmBSifFxjbTWmcDJovMA/AX4lXPTRil1SdHnNwNrgF1AO6VU\n1DmcdwVwnyr67aKU6lWJa9uVUj7n2F4hhKhpErPLJjFbAJJMCw/QWmvgOmCkcpVZ2gFMB47hGnu3\n6LS3LCraXvIcy3E9Avyt6LGce9zb7bjGum3DNc7thXNs3i7gXqXUTiAceLfo0d4kYL5SajuuXpFZ\nFZwDYCrgA2wrur+plbj2+0XHnzGZRSn1ilLqMBCglDqslHqu0nckhBDnQWJ2uSRmCwCU6/+IEEIp\n1Q5YWlQSSgghhBeTmC28hfRMCyGEEEIIUUXSMy2EEEIIIUQVSc+0EEIIIYQQVSTJtBBCCCGEEFUk\nybQQQgghhBBVJMm0EEIIIYQQVSTJtBBCCCGEEFX0/xdn6MLBHKWJAAAAAElFTkSuQmCC\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Cross-validation score: 0.512 +/- 0.102\n"
]
}
],
"source": [
"# Reasonable choice of gamma=0.8\n",
"svm = SVC(kernel='rbf', C=1.0, gamma=100.0, random_state=0)\n",
"svm.fit(X_train_pca, y_train)\n",
"classifier_plot('SVM', svm)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Choosing `gamma=0.8`, we obtain a much more reasonable classification and a cross-validation score of 95%. The behavior of the model as a function of `gamma` can also be captured by the below validation curve: values between 0.003 and 1 give the best results."
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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6X9fk+T3w8PAgURtXfPDFGwaecptRFBHJ29eXW7rdyjcJiRly+Jz4eDp16Jin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\nelCyhO1VIhRFSawNzcGnFu3adKFC+Sps2baByMjrNGzwCs/XbZlpGbJ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oUCMHLMr7qFQq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\nRK5CYII=\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Cross-validation score: 0.953 +/- 0.051\n"
]
}
],
"source": [
"svm = SVC(kernel='rbf', C=1.0, gamma=0.8, random_state=0)\n",
"svm.fit(X_train_pca, y_train)\n",
"classifier_plot('SVM', svm)"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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8tgrQGGO+Oa9gVyEFWyBXHxWr6ouqejHQC8/zlO8KemTGGFOjQ29IP8UuTW0D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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"validation_curve_plot(svm, 'gamma', np.logspace(-3,3,70), log_scale=True)"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.98148148148148151"
]
},
"execution_count": 23,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"y_pred = svm.predict(X_test_pca)\n",
"cv_scores['svm']=accuracy_score(y_test, y_pred)\n",
"accuracy_score(y_test, y_pred)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Decision Tree"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now, we will use a decision tree classifier to classify our data. Here, the `max_depth` hyperparameter is critical because by setting this parameter to large values, the model quickly overfits the data. For example, setting `max_depth=10`, the mode unrealistically accomodates the red sampels lying in the green and purple regime."
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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Wi4XGdep6Owx1EfFmz3Q60NUYkyQiNmCFiCwyxqzyYkxKKaVypnlbKaXO4LVi2rhH9yd5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\n5FHYsGITB946yHfzpmLLc7d8o0buY9bc6YTefAZPz763W14g9OZMZn8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Px/iSEbfCyYeq\npCrRbdRRpU+lRxr35KHTBF8NpliZohQtXcRVS7gvcTFxbFyxhb+PHiKfb17admpDQPEMkajVyIbY\n7Uns3b+VGzcuUahQCWpUa8S164GMnTiKK1cjAEHBAh58NPCTVHlzef0KMP3reSxfsZDg4KNUqlSL\nRg2HYjY9nh61lJK9+7fwx4oVRERGU79uTZ5p3w2bx4NckMY9cJnPhpztt3MCbZ9uw9KFy/AflJfg\n10NwNnCixqpYt1jp++7LFCmlVV3UgGc7dmfj5jeIjDJgNrXE2/sK8fFf0rhhfTp17EXF8jVTpaNK\nKZk+Yzxz5v2EEAtRpRmcxdDrX+Rm6AtY3BuSZL9IsaKFsnBVOZ8HBdP7hRCvSSln/btRCNEXOOBa\ns7Ivezbt5YfNP2FZakHnrcOsmomeEMP1jjfwGeODYhY4ljqpZqlCjUbV0zRmVHgUQweO4ELSRURZ\ngTpXpW7p2nw86oNMk2OKiohmwBuDuFE2CKWlghqosrLfnwwfPISaaVyHRs7hVlgIHwx+l5CQ/Njt\nFTEYfqFA/lmER0QQH/8+VktbQHD9+no+HvoB82b9jMXiAcD+A3/xxeRJxMbZUNVoLl6+RuWKNTHn\ne7xgesmv85i/cAOK0hed3o8ff17Dpi1v8PWkWVittgxcda5H89k5mBfe6MHV4dfY+80+/MvmJW5F\nHMXzF2fET0MppG1qaNwmr18Bvv7yWxb/soADfw/C18eHLp3fuG+p8Q2b/mDJr+uAPuh0tUDewu64\nDs78KKIV4RHzMBn30qdn/8xdSC7jQcF0f+A3IUQv7jjimoAbkPVq+lnEHytXovRV0HknF5QQiiBg\nYEFurrhJhd/LoRgUmjVqQvMOTdNcsWvalzM4W/0ctvdtyVJjDsnOj3azbMHvdOv7vCuXk8LvPy3n\nes0beA6+I4UWXzOeKSO+YUGDOVlSfUzDdXw362uCgp7CZnsDSN69OHOuLw6HlYCCd0qHW62tiY7e\nxK49G2nZvBPXb1ziszHjUZQvsFgqI6XKhYuLGfLpB8z69qdU/09OnDzIrLmzOHP2BHny+NK1y/N0\naNstlU5xdEwkP/y8CHf3Jej1yXqqZlM1goI+Zd2G3+nc6U5Vrnvx34qNTziaz87BGE1GPp0whKsX\nrnI18DoF3y1AoRJaEK1xN/n8A3i/3ydp6rv0t9/R61qn+Emd3geJxOm8COIqVvedfDhoJDVrNHal\nybmeB+lMBwP1hRDNgIq3m1dJKTdlimXZlKjoKHQ+qSuzCYPAnM+dfgPeonDJR3tUkpSYxPbtO/BY\n43FHakwvML1mYvUnazItmN65bxfGD1IrNJirm4kQkQRdCaZAkfyZYoeG61FVlR07t2G1Dk9pE0Jg\nMFQhKur6Xf0djiKEhycr06zfsBKHoxM2W+Xb1yl4WLsTHLqKEycPplQIO3f+BB8NHYZUB2GxNCE2\n9gLfzhhHTEwMPbv1TRk7MPAMgtIpgfQ/6HRN2bV3CQ6ng8DAK5QqWZwWzTtg8/BCVVV+W/4DC3/8\ngaDgaxiN7tSvW5O3Xh9E4UIlMvzzyiloPjt3EFA8QEuv08gwIiMisFrbEhn5MVK+iBAFbvvbk/j7\nH2Hmt0vI56/9f0svD5LGMwkh+gPPAUnAt5pThga16pG0OilVW8KxBKwJFgoWK/DI4zmdKqpUEcbU\nu2uKRSExMTFdtj4KVqsVZ5gzVZtMksgYFbMl3emWGtmM5Bu31IcL3dzKIdiKlI6UNimd6A3bKF06\nOf//Vlg4kPrGSgiBoABR0eEpbYuW/IjT+TpWa2sUxYjRWA6LZTxLli4lKenO/2svL2+czqtImfoQ\nb2LiBfbt3868BRFs3VaX2d9f5c13XiQ45BrzF37LtO+2cuXKUJKSthMTPZq164/xZr9XOH/hZAZ9\nQjkPzWdraGj8lxrVq5KUdBg/v9eQah+czrE47J+i073JO2/01QLpDOJBz+7nk/yI8CjwNPBFpliU\nzenQvT0FDxUk6pMoYtbHEDk3CudAJ/37v4tOp3v4AP/B7G6ifLlyxKyKTdUe92scDes3uM9VGU/H\ntu1xznLijEwOqKUqiZodRbXyVcjjqx0Ey00oikLDBo2Ijl6Y0ialxOk4QMmS7kRFvU9c3C7i4vcQ\nFfU/qlXxplKFWgBUq1oVxIZUKh9OZxSqeoAypSqntJ2/EIjJWDXVvHp9PpxOK2FhISlthQJKUK5s\nfqKjpiNl8k1qYuIJoqKn4Wboi832ER4e7fHwGE54RBdmzZnKb8uXExc7AKHUQ6/3R6dvjxDvExFR\nlHkL57jkM8shaD5bQyOXEBFxi6W/zeOLyaNYsepnYmLupXr5cF7o+QoeHksQIoi8/u9jtQbi5bWM\n8aNH0r5t15R+qqqye89GPh83lFFjh7Bz93pU9W6lMo1786Cc6fJSykoAQog5wN7MMSl74+Fp5evZ\nk9i4fDMH1v5NXh8/2k5uky71jXcHvM0HAwYTfTQaWUYi9gryn8/HC9/2yEDLH0zDNg3oeuEiS59d\nhlJJQb2kUta7DIPGDsg0GzQyjzf6vsf5C+8RFHQYh6Miev0BSpaw8/mIH9m5eyNr189BSpXWLZvx\nVKvOKbnQDeu35vflv3Pm7EcYDJ1Q1ShUdT7PP9cBHx9/ABwOByaTk1NnPsFoLIfN9jTu5ro4HMHo\ndDHkyeOXypZhgz9n4pef8/fhtiiKF+7usZhM8eTJ81aqflZrJ3btmYNQCmB3uKPTWVLeE6IKqlzO\n8RPHXfzJZWs0n62hkQu4dPkcgz7uT2xcUwQ12bx1P4uXvsjkidPx8320lMv8+Qoz/atZLF/9C8eP\nr6Rwofw80/5nihUtnarfN9PHsXbDWQTdAIVdexbTvOlOBr4/XDuXkgYeFEynlDOTUjq0D/MO7lZ3\nOvRsR4ee7TJkvKKlizB74bdsXv0XV85coWztMni3y8OsqXOJiommfp26NG/fFKPJ+PDBHhMhBC+9\n05uO3Tpw4dRFvH3zULRMEe2PKJfincePb79ZwIGD27hx4zKFCvWmWpX66HQ62rbpSts2Xe95ncHg\nxrjRX7Nu/W9s3TYfi8VMuzYvUqd2cwCcTicjR3/IufMeJCY2IjHRjejoCdhsNTCZLvBCj+cwGk2p\nxvT09ObzkV9yKyyE2Nho8vkXokuPtjid0ej1Pin9nM4ILBYPEhJuIYhESjtCJKvdSHkIvd4TH++7\ndbGfIDSfnUmEXA9l3owF7Nq1B6PZSNs2bejxatdMU1/SyN1Mn/E1cXFvYPPofLvlGW6FzWTewpm8\n8ep7/Ln2Vw4dOUmB/H60b9v5rsD4v/j65uOVPu/e9/3zF06ybuMBrJbFKEpyWqeqtmTzlu480+4Y\npUulXeb3SeVBwXQVIcQ/zxUEYL79WgBSSqlpVmUgnt6edHqhAwB//LySKZO/QfaSKN46Dqw6yLq1\nGxg/dTRuRjeX2pHH14saDau5dA6NrOHQ4V0s+mUx12/coFzZ0vTo2oe6t4PgR8Fscqdjh1507NDr\nrvf2H/yLg39H4e09F3f3BEJv3iQhoTTRUS/z6ktv0qPrq/cd18c7Lz7eeQF4qlVrVq6eis02DCEU\npLQTHz+dXt3bY7c7mLtgErGxb6ModZByKzAbs8lC1y4PVv/I5Wg+OxOIiYphwNsfENYxDMv/LCRF\nJ/Hzt4sJHBbI8PFDsto8jRyO3Z7EkaOHsNm+StVuce/E9h1dOXLkMLfC6qHTd+HQkYus2/A/Ph3y\nYbrUOI6d2I/qbJYSSAMoihGHowVHju3Vguk08CA1j0dPANZIN9GRMcz5/nvMP5vR+yd/PbKF5PT7\nZ/hrzXZadnz04EdDY+u2NUyYNBMh3sXNrTTbtu9kz973mTxxykN3NR6F/Qf2oaptEEKH2WyhcCEL\nUITY2E4ULlQ0zRKLr7zUj2vXP+Hw0U7olLI4nUdpUL8i3Z5/GZ1Oj4eHle9mDyLsVggGNxveecy8\n3KcHLZt3zLC15DQ0n505bFq5hfAaEXi+dltG1AcMow3s6biPS2cva8VVNNKFoujQ6w2oaiw63Z3N\nM1WNJjY2lqSkTnh6/qMJ3Zj4+EpMmTqCBXMaPraErcXdA0V37q52nT4UD2vZxxrzSeNBO9MaWcCZ\no2eRFUgJpOG2WkIbhT1/7dWCaY1HRlVVZs6ZicEwFpMpWTHNza0oUVE6fvh5HsMGj7nvtTdvBrFm\n/R9cunyVcmVK0bLFMw+sTGjz8ADC7vHOLdzdrWm22WxyZ8xnUwi8dDa5QmPAqwQEFE95v0vnF+nS\n+UXi4mIICw/Fzzf/XekjGhqu4OyFc4j/1LESeoFSVeHKhaupgmlVVfl/e/cdHmWVPXD8e96ZJJNk\nMqGEIlKlCQLSQYpSBZUFEbEjRWX1Bwi6NkAXEF0QdNVFwYqiYmVBV1QEFQsioCLSUUDpCEhLmZSZ\n9/7+yBAJJJCEJG/CnM/z8JDcecu5STic3LnvvfPf+Zi5739A4tFEmjVryqDbBlC11rnFHLUqLVwu\nF926dGXBwhn4fA9kvTOXkjKdqCiLyMie2Y73eJpx6HCQ/Qf2UKliwX6u2rbuQlTk86T4lxMT3QYA\nv/9HIiOWcFGbYWfcp3CgO3GUMF5fLGa/ybZaAoC936aMT1fVUPmXmHiYQ4f9WYX0MdHRHVm/YWOu\n523esp6hw27hzbczWLrsEl56ZSd3jBjE/gN7cj2nS+fLcLs/ID39r1GOpOTPiIvbwYVN2uY79po1\n6nJR227ZCunjxcR4qXpuLS2kVbGpUbUGnPCcq7EN9jqbc6pXztb+0tOvMOPrFzg84TDylrD0wu8Y\nNfwe9u85UIwRq9Lm1sEjaNJ4G8nJ/UhOHkNS0pV0aG9Rt84FBIL7sh1rjB9MSr4GK055cLu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1btKa/FtFIFYts2c+bO4tqbenPVNb0YdOu1LPl2kdNhOeJszNtKlVZr1n3PnHlLiIl5F5/vPrze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\nTCullFJKKVVAWkwrpZRSSilVQP8P5cjVsU5NXDkAAAAASUVORK5CYII=\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Cross-validation score: 0.929 +/- 0.073\n"
]
}
],
"source": [
"tree = DecisionTreeClassifier(max_depth=10)\n",
"tree.fit(X_train_pca, y_train)\n",
"classifier_plot('Decision Tree', tree)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"A validation curve shows that the ideal value for `max_depth` in this case is 3. When we re-train the model with this hyperparameter setting, the result is much more reasonable, even though it doesn't capture all the outliers of the training set."
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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LuKvbNruAXP/XB8Z13xan6Ovi3o6Xn5+vA7F58+aQ93m8sFQnf+OPWnbyjLPg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\n+x9199xzDzfeeCOPP/44F19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onH6VMt15BW7w2z/D7/njwMfc5wXAv7vPv4IzDsEEIB6n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\nAElFTkSuQmCC\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"validation_curve_plot(tree, 'max_depth', np.arange(1,10))"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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Wi4XGdep6Owx1EfFmz3Q60NUYkyQiNmCFiCwyxqzyYkxKKaVypnlbKaXO4LVi2rhH9yd5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\n0VQAf/9kSpaocNdr123YhKI8l6aKoadnY25GGjgfcipN39IliyPlXyQ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Y6f3uyxQppVVd\n1ICnO3Zn4+Y3iI4xYDa1xNf3EomJX9K4YX06dXyeiuVrpklHlVIydfpYZs1ZgBDzUaUZXMXQ61/k\nRvgLWDwbYnecp1jRQtm4qtzP/YLp/UKI16SUM//ZKIToDRxwr1k5lz2b9vLD5gVYlljQ+eowq2Zi\nx8VxteM1/Eb5oZgFziUuqlmqUKNR9XSNGRMZw5D+wzhnP48oK1Bnq9QtXZuBIz7IMjmmmKhY+r0x\ngGtlQ1FaKqghKiv7/M7QQYOpmc51aOQebkaE8cGgdwkLy4/DURGD4WcK5J9JZFQUiYnvY7W0BQRX\nr65n4JAPmDNzIRaLFwD7D/zBFxMnEJ9gQ1VjOX/xCpUr1sSc7+GC6cW/zGHu/A0oSm90+gB+XLiG\nTVve4OsJM7FabZm46kcezWfnYl544zkuD73C3m/2EVg2LwkrEiievzjDFgyhkLapoXGLvAEF+PrL\naSz6eR4H/hqAv58fXTq/cc9S4xs2LWPxL+uAXuh0tUDexOG8Cq78KKIVkVFzMBn30qtH36xdyCPG\n/YLpvsCvQojnue2IawIeQPar6WcTy1auROmtoPNNKSghFEFQ/4LcWHGDCr+VQzEoNGvUhOYdmqa7\nYteUL6dzpvpZbO/bUqTGnJKdH+1m6bzf6Nb7WXcuJ5XfFiznas1reA+6LYWWWDORScO+YV6DWdlS\nfUzDfXw782tCQ5/AZnsDSNm9OH22N06nlaCCt0uHW62tiY3dxK49G2nZvBNXr13gs1FjUZQvsFgq\nI6XKufOLGPzpB8yctiDN9+T4iT+ZOXsmp88cJ08ef7p2eZYObbul0SmOjYvmh4U/4em5GL0+RU/V\nbKpGaOinrNvwG5073a7KdTf+XbHxMUfz2bkYo8nIp+MGc/ncZS6HXKXguwUoVEILojXuJF9gEO/3\n+ThdfZf8+ht6XetUP6nT+yGRuFznQVzG6rmTDwcMp2aNxu40+ZHnfjrT14H6QohmQMVbzauklJuy\nxLIcSkxsDDq/tJXZhEFgzudJn35vUbjkgz0qsSfb2b59B15rvG5LjekFptdMrP54TZYF0zv37cL4\nQVqFBnN1M1EimtBL1ylQJH+W2KHhflRVZcfObVitQ1PbhBAYDFWIibl6R3+nswiRkSnKNOs3rMTp\n7ITNVvnWdQpe1u5cD1/F8RN/plYIOxt8nI+GfIJUB2CxNCE+/hzTpo8hLi6OHt16p44dEnIaQenU\nQPpvdLqm7Nq7GKfLSUjIJUqVLE6L5h2wefmgqiq/Lv+B+T/+QOj1KxiNntSvW5O3Xh9A4UIlMv3z\nyi1oPvvRIKh4kJZep5FpREdFYbW2JTp6IFK+iBAFbvnbEwQGHmbGtMXkC9S+bxnlftJ4JiFEX+AZ\nwA5M05wyNKhVD/tqe5q2pKNJWJMsFCxW4IHHc7lUVKkijGl31xSLQnJycoZsfRCsViuuCFeaNmmX\nyDgVsyXD6ZYaOYyUG7e0hws9PMoh2IqUztQ2KV3oDdsoXTol//9mRCSQ9sZKCIGgADGxkaltPy3+\nEZfrdazW1iiKEaOxHBbLWBYvWYLdfvt77ePji8t1GSnTHuJNTj7Hvv3bmTMviq3b6vLd95d5850X\nuR52hbnzpzHl261cujQEu307cbEjWbv+KG/2eYXgcycy6RPKfWg+W0ND49/UqF4Vu/0QAQGvIdVe\nuFyjcTo+Rad7k3fe6K0F0pnE/Z7dzyXlEeER4EngiyyxKIfToXt7Ch4sSMzHMcStjyN6dgyu/i76\n9n0XnU733wP8C7OnifLlyhG3Kj5Ne8IvCTSs3+AeV2U+Hdu2xzXThSs6JaCWqiTmuxiqla9CHn/t\nINijhKIoNGzQiNjY+altUkpczgOULOlJTMz7JCTsIiFxDzEx/6NaFV8qVagFQLWqVUFsSKPy4XLF\noKoHKFOqcmpb8LkQTMaqaebV6/PhclmJiAhLbSsUVIJyZfMTGzMVKVNuUpOTjxMTOwUPQ29sto/w\n8mqPl9dQIqO6MHPWZH5dvpyE+H4IpR56fSA6fXuEeJ+oqKLMmT/LLZ9ZLkHz2RoajwhRUTdZ8usc\nvpg4ghWrFhIXdzfVy//mhR6v4OW1GCFCyRv4PlZrCD4+Sxk7cjjt23ZN7aeqKrv3bOTzMUMYMXow\nO3evR1XvVCrTuDv3y5kuL6WsBCCEmAXszRqTcjZe3la+/m4CG5dv5sDav8jrF0DbiW0ypL7xbr+3\n+aDfIGKPxCLLSMReQf7gfLww7blMtPz+NGzTgK7nzrPk6aUolRTUCyplfcswYHS/LLNBI+t4o/d7\nBJ97j9DQQzidFdHrD1CyhIPPh/3Izt0bWbt+FlKqtG7ZjCdadU7NhW5YvzW/Lf+N02c+wmDohKrG\noKpzefaZDvj5BQLgdDoxmVycPP0xRmM5bLYn8TTXxem8jk4XR548AWls+WTQ54z/8nP+OtQWRfHB\n0zMekymRPHneStPPau3Erj2zEEoBHE5PdDpL6ntCVEGVyzl2/JibP7kcjeazNTQeAS5cPMuAgX2J\nT2iKoCabt+5n0ZIXmTh+KgH+D5ZymT9fYaZ+NZPlq3/m2LGVFC6Un6faL6RY0dJp+n0zdQxrN5xB\n0A1Q2LVnEc2b7qT/+0O1cynp4H7BdGo5MymlU/swb+Np9aRDj3Z06NEuU8YrWroI382fxubVf3Dp\n9CXK1i6Db7s8zJw8m5i4WOrXqUvz9k0xmoz/PdhDIoTgpXd60rFbB86dPI+vfx6Klimi/RE9ovjm\nCWDaN/M48Oc2rl27SKFCPalWpT46nY62bbrStk3Xu15nMHgwZuTXrFv/K1u3zcViMdOuzYvUqd0c\nAJfLxfCRH3I22Ivk5EYkJ3sQGzsOm60GJtM5XnjuGYxGU5oxvb19+Xz4l9yMCCM+PpZ8gYXo8lxb\nXK5Y9Hq/1H4uVxQWixdJSTcRRCOlAyFS1G6kPIhe742f75262I8Rms/OIsKuhjNn+jx27dqD0Wyk\nbZs2PPdq1yxTX9J4tJk6/WsSEt7A5tX5VstT3IyYwZz5M3jj1ff4fe0vHDx8ggL5A2jftvMdgfG/\n8ffPxyu93r3n+8HnTrBu4wGslkUoSkpap6q2ZPOW7jzV7iilS6Vf5vdx5X7BdBUhxN/PFQRgvvVa\nAFJKqWlWZSLevt50eqEDAMsWrmTSxG+Qz0sUXx0HVv3JurUbGDt5JB5GD7fakcffhxoNq7l1Do3s\n4eChXfz08yKuXrtGubKlea5rL+reCoIfBLPJk44dnqdjh+fveG//n3/w518x+PrOxtMzifAbN0hK\nKk1szMu8+tKbPNf11XuO6+ebFz/fvAA80ao1K1dPxmb7BCEUpHSQmDiV57u3x+FwMnveBOLj30ZR\n6iDlVuA7zCYLXbvcX/3jEUfz2VlAXEwc/d7+gIiOEVj+Z8Eea2fhtEWEfBLC0LGDs9s8jVyOw2Hn\n8JGD2GxfpWm3eHZi+46uHD58iJsR9dDpu3Dw8HnWbfgfnw7+MENqHEeP70d1NUsNpAEUxYjT2YLD\nR/dqwXQ6uJ+ax4MnAGtkmNjoOGZ9/z3mhWb0gSn/PbKF5NT7p/ljzXZadnzw4EdDY+u2NYybMAMh\n3sXDozTbtu9kz973mTh+0n/uajwI+w/sQ1XbIIQOs9lC4UIWoAjx8Z0oXKhouiUWX3mpD1eufsyh\nI53QKWVxuY7QoH5Fuj37MjqdHi8vK99+N4CIm2EYPGz45jHzcq/naNm8Y6atJbeh+eysYdPKLUTW\niML7tVsyon5gGGlgT8d9XDhzUSuuopEhFEWHXm9AVePR6W5vnqlqLPHx8djtnfD2/lsTujGJiZWY\nNHkY82Y1fGgJW4unF4ru7B3tOn04XtayDzXm48b9dqY1soHTR84gK5AaSMMttYQ2Cnv+2KsF0xoP\njKqqzJg1A4NhNCZTimKah0dRYmJ0/LBwDp8MGnXPa2/cCGXN+mVcuHiZcmVK0bLFU/etTGjz8gIi\n7vLOTTw9rem22WzyZNRnkwi5cCalQmPQqwQFFU99v0vnF+nS+UUSEuKIiAwnwD//HekjGhru4My5\ns4h/1bESeoFSVeHSuctpgmlVVVm5aDVLf1tGbEws1apV5aXXehJUrGAWW62RW9DpdLRs3oI166Zh\nsw1MfTKXkDAVo1HBw6NNmv4mUzUio1yE37hGYN6H+17Vrd0co8d0EhL34GmuA0Bi4gE8DNupV+ed\nDK/pcUCrxJHDsNosyHCZRi0BQA1X8bFpqhoaD05sbBSRUYmpgfTfmM2NOH7i5D2vOxt8nNffeZUF\n/2/vvsOjrLIHjn/PO5NkkkwmlFBEqjTpXZCiIFVlQUTsSFFZ/QGCrg3QBQQXBAsuCoqKorI2FnRF\nRVARRURURDoKKB0BEUhPZt77+yNDIJBAEpK8CXM+z8NDcuct5ybhcHLnvve+nc6KlZfz8qu7uXv4\nQA4e2pfjOVd0uhK3+wPS0k6MciQkfkZMzC6aNG6T59irV6vNpW26ZCmkTxYV5aXyhTW0kFZFplrl\nanDKc67GNtgbbC6oWjFL+8vPvsrMr2ZxZPwR5C1hRZNvGTnsfg7uO1SEEauS5o5Bw2ncaAeJiX1J\nTBxNQsI1tG9nUbtWA/yBA1mONSYZTFKeBitO5fX6mDjucaKjxpOYeBuJSQPweB5hwtgJ+Hylz7U7\nIUFHpvPBtm1SU9LwREYU+AN6tRvW4gK7Anvn7cN7nRcRIW1HOq63LXpM6Vag91KhISrKS3iYjd9/\nALe7fGZ7WvpWKlcun+N502c8S2raSHy+q4ItV3L48Au8+Z9XuPeeR7I958JK1XnoHyN56tm/k5RU\nE2MSKVM6nvGPTiHMXfAPZ+3evZ2Vq77EYGjdqmNIb9qiikbXXlfw7m3vcax2PDG9vdieZgU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8B78+fwypwVBOxZ+HxfcfTYWCZNnckPq792OjSlVAhb+uXnGHMdLteJqRWRnmakptZg/YYfCu2+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\niolbGO/tAAAAAElFTkSuQmCC\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Cross-validation score: 0.945 +/- 0.050\n"
]
}
],
"source": [
"tree = DecisionTreeClassifier(max_depth=3)\n",
"tree.fit(X_train_pca, y_train)\n",
"classifier_plot('Decision Tree', tree)"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.96296296296296291"
]
},
"execution_count": 27,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"y_pred = tree.predict(X_test_pca)\n",
"cv_scores['tree']=accuracy_score(y_test, y_pred)\n",
"accuracy_score(y_test, y_pred)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Random Forests"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The random forest classifier combines an ensemble of decision trees and is therefore more robust than individual decision trees. The most important hyperparameter is `n_estimators`, the number of decision trees to be taken into account. While too high a number of trees leads to overfitting, the validation curve shows that by using even just a few trees, the training data are captured nicely."
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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UA8JcWqBNStFNKdavW+O+wESRJ8m0EEIIIUq8AF8/ojVorTMtjzYMAoKC3RSVKA4kmRZC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0lN3UtMzHBaNq9HmdIV7Q5P5SG7xhAsAIYZY3wi8jIwDHjGpliypEmbRldUPJ8vNdVHSmoKsVYs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\nQmCC\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Cross-validation score: 0.937 +/- 0.047\n"
]
}
],
"source": [
"forest = RandomForestClassifier(n_estimators=60)\n",
"forest.fit(X_train_pca, y_train)\n",
"classifier_plot('Random Forests', forest)"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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gNHGo4nFlYYvWdptVdlDjrIYCJSxOlai9LnzBmPmMnqFm3VZrcNo4EJBS6f4z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\nhXPOubS8sXDOOZfW/wGSLeZSYU2fwQAAAABJRU5ErkJggg==\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"validation_curve_plot(forest, 'n_estimators', np.arange(1,50,1))"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.98148148148148151"
]
},
"execution_count": 30,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"y_pred = forest.predict(X_test_pca)\n",
"cv_scores['forest']=accuracy_score(y_test, y_pred)\n",
"accuracy_score(y_test, y_pred)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# k-Nearest Neighbors"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Finally, we use the k-nearest neighbors classifier which, unlike the other above examples, takes the training data into account explicitly when presented with new, unknown data. Specifically, it evaluates the class labels of a new sample's k nearest neighbors within the training set. In the `KNeighborsClassifier` function, k is represented by the hyperparameter `n_neighbors`."
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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XyJq8HPrvQghPDOzLnI/e55+vxtP/xb58O3d2gbcHmr/4Zx6JiuQVHx8CXV3p\n7uXFBC9PEuLjaWxQvGowMMjkhMVsxvniBZasSd9b3Gy2oLTGRankLeQ2nkC8rWOHFXL0DeT3rVvY\n/OMP/Ozqwix3d1Z6eVJq1z9MmDol3XkxcbHs37+Hp9N0/zAoxfNurvz15x+5/hq4uLgQq603feOL\ntlpxlY8Zi6StQUdSk3KZAcXjhx17521ZR52/7rv3fubExKbL4fOjo2nXpm2uZqXzqlfPx5iu4XRi\nIpBcSH8RFcVd7drjm8uHb2Vl784ddHJKP29Y2WSiitXKiTNncjxOu+YtWT73R54Y9SFPjhrN8rk/\n0rZZi3yJURQNwauPp8vZucnbRWIDolKqGtAM2JHJawOVUruVUrvDrofl+70lOeeM1prRn31C39BQ\nZnl6MNbTg6Ue7uxctpj1u276a8tXB/b+y71pWiwBnEhMpJbWTHZyor2ziQ5GI1OMBswJCez6d3e6\nc709PalRqza/R0fj7eVDKBqtYalV08bDk42xsST6+VG3WvVsY1m+bDEvmZxSe1I7K8UbXl5s2byR\n6NjY1PO0Jl2P6hRGpbBaM3vO461VKV+B0tVrsDjq/x+JxlitzLVY6dyla67HEwUnYxFdXArpjLLK\n25KzHcfA3s9ytGYt+kbHMDk8nEHR0WwIqMTrLw4ulPvf3bQZfV55jcHKwOMxsTwcE0v83e1o0qQp\nn0/5hpk//8TFa1dv6x4+fv5cSdNpBJJn369aLfjkstWpq4sLbZu1oG2zFrimmU0Xji3i6EW2Bh3h\nykVLnnO23YtppZQnsAR4Q2sdmfF1rfUMrXVLrXXLUqVzvwEsJyQ5Z+90yHliL4TwSJplBl5GI32U\n4ve1a3I0xsVrV/n46y/p1vtxnhzwPPOWL8FsNmd7nX/pMje1lQtJTKQDpHtQgLNS3KE11jRdPlK8\n+errTHJ1Y4q28qezC33MZhYpxTlnFz5zceXDEaNyNBMTHhFOhQyzHB5K4QbpimlPd3caNmrMksio\n1GNaa36IjaXjvfdne5/MjB42kkVly/FCdAyjomPoGR1D4MM9eODutnkaT+Sv25nVcDS3ytuSsx2H\nt6cnQV9O4oUPPsLjxZd47N33mTd5ap42W+dVj06dWT5vIWMnfcfsabO4eOUyGyZPpN66tcQvmMeA\nlwey69DBvI/f7WHmolK/h1i0JigyivJ16lK94u2vyRaObWvQEQ5tDb/tnG3Xbh5KKRPJCXmB1nqp\nPWORTh8vzhDEAAAgAElEQVTpXQ8PY+PuXVitVto1b0l8QgKeBnXTUghPg4H4+LhsxwuLjOSlt9+g\nR3gYL7m7ExYVyXezgzh//hwjhwy95bWPPvoY0z75kLpJSVQ2mYi1WjloteJvMnHJaqWcwYBRKaIs\nVo4pRZd7Otw0Rr3qNZg3NYjfNvzFpQsXaFGqFO1c3ShfujRjW9+R4w2BzVq04o81q3gpTcG+Nz4e\nFz8/yvr5pTv37SFv8NqIt9kdEU5ds5l/nEyYa9Xhm15P5OheGVUuX56F04LYdfggoRERDKhdh0rl\nyudpLJG/ittyjlspKnlbcnb+MBgMqbOt9uJsMlGjUiW+X/ILlU+d5JM03UXuio1l3MTxLJo5J09L\nT5rVa8Dzr7xG/5nTqJgYy3WrhYD6DRgz/L38fht2ERcfj8nJCSenEtWc7bal5Gxrm3soV98vm7Oz\nZ89uHgqYBRzVWn9lrzjSkuScbM2mDUya9BXtLBaMwCyleGHAi9xwc+dAfDyBtiUXVq1ZbjbTJpPi\nNaNf//qDOyPCedG2WaMCMMFkovtff3Lhyd5ULFsuy2s7tGzN1YEv02/ObPwTY7hmtdK04/3s2/sv\nu8NuUDc2Fm3V7DCZuFKxEo936pzpOP6+vjzfo1duvxzpPPf4kwzevpWYiAjamJw4nWRmvtHIsJdf\nuynRVylfgYXTZvHXju1cun6NZ6pWp22z5jc9Gj03DAYDdzRuclvvQeSf/E7IRV1Ry9tpuzO1i2xG\nuea569suipZtmzcwxNk53aTNHW5u6NBQzly8mOfuHj06daZzu/acPHcWHy8vqlYIyK+Q7ebIqWC+\nmfotx04cx8lkotN9nRjSb4C0Sc1G2s2F+Tn5Yc8fZdoAzwIHlVIpXc/f01qvtmNMJT45XwsLZdKk\nrwgyOVHNI7k7Rf+kJF4Imknfl1/l7Wnf0S0ykgpas04ZoEEjHsnBsoXgY0e5N0Ox6Wow0Mho5NT5\n87cspgGe6NqNR+5/gPOXL+Hn44ufjw8HThznky8+Q9+4jkVr3AMqMnX4ewW6lq1C6TLM+uY7Fq/6\njfkH91MuoCLju3Wnfo2amZ7v5upKt/YdCyweYR8pCTk+oCaVuza2czSFqsjl7ZTWeZuXjYPgvSV6\nIsTRubi6Ep1hT4kViNcaV5ebl+/lhpurK4F16t7WGEXFxWtXeee9YbyRmMADPt5EWK1MXruaD65f\nY8IHH9s7vCKpoIroFLcsppVSnYFKwF9a6zNpjvfTWs++nRtrrbeQrrdC0ZE2OXc/VaNEtc7b9O9u\n2lksqYU0QAWTiS4xsUTHxDJ9ygxWr/+LE2Gh9GzWnA6tWueosX7FKlU5tmM7D6Q5ZtGaExYLFcvd\nupBO4eLsnO7xtIF16vLTjNn8dyEEpQxUr1ixwFo6pVXatxSDn3mW5JpClCQFnZBvV0HmbCjaeVs+\nWXR8XR7sxuyj42lpteJum3z5KSqKSnUKpw2ro1i2djUPJcTzoK3tqp/RyEgfbx7Z+y+nQ0LypT93\ncVFYOTvLYlop9SnQFtgDvKeU+lprPdn28qvAbSfmos6/Y3dWrF9SovqaWq1WMluEYERjsVqoXL48\ng55+JtfjPvJAFwb8uozaUVE84OlJlNXKt9HRVG/anJqVKuc5XoPBQM3KVfJ8fUkTGR3N+l07iI6N\npXWjxtSuWs3eITmEol5Eg+RskILa0XVt154jR4/Qc+1qWhkMnAdiylfgq3dG2Du0IuXC2bN0yvBJ\nr5NS1DYauXD1shTTFH7OVln1CFZKHQSaaa3NSilf4EfguNZ6qFJqr9a6WYFHl0HDFg30T9vnF/Zt\nObBsHECJSM6Xrl+j74t9+cHNlfK2DQ2hFgvPxMTy9eSpt1W4Hg4+yTdTv+XEyRMYnJy4t+N9vDFg\n4E0POxEFY9ehg3wwZjStExMoZbWywWDgnoceZmj/QYUyo++Iglcf58rF5LZat5uQA1u6/qu1bpkf\ncWVGcvb/laScXRydu3yJw8En8ff1pWWDRoXS89qRzFq8iNAf5vKu9/97ccdZrXSPjmHWzO8JKFMW\nq9XKkdPBxMbH06hW7RKzljo/czbkPG/fqpg+qrWun+bPRmAG4A000Fo3vO0oc8leiRlKVnL+Zc0q\n5syYSheLBSc0a4xO9Ojdh36PP5Uv48fGx2FycsrR8hCRPxKTkuj5wjN8mphAC9tDXmKsVvpHxzB4\n9Mfy8IEM8jshQ6EU05Kz0yjuOTs8KpJN/+4myWzm7qbNqFC6jL1DEoUkNCKCvkMG81hEOA95eHDD\nYmFKXDxlOj3AyCFDOR0SwshPRmO8ehUfpThlMPDqy0Po1vE+e4deoAqiq1JO8/at1kyfUkq111pv\nBNBaW4D+SqlPgNtrieCAStLHh48/+BCtmzbj73+2Y7FamNj6znxdSlFSfkIGiE9I4M9/thF8OphK\nFSvTuU07vDw8sr8whyKio1i3fRthERE0rVeflg0bZTrLvO/4USrFxaV7HLmHwcDjaP5a/7cU0zYR\nRy9yaGs44JAdOiRnp1GcN5Ov3/kP48Z/xh1mM64aZirFs30H8Ez3orkESeQvPx8fpoyfyKwf59Nn\n5w48Pb146Ok+9Hm4B1arlREfvc8L16/xsKcHSinOJiby0uSJ1K5eI0cPJ3M0RaGr0q2K6cczO6i1\nHqWUmlpA8RRpJamgrlohgL49s//+Gxcfz7p/tnH6v1NUqliZLm3vwdNdlm0A3AgP55URb1H58mVa\naSsHDQbm/zCPb8ZNyJfWTAdOHGfE6Pe4Iy6eimYzk0xOBLRozacjRt7Uc9Rq1RgyWclhgAJ/HLyj\nKAoJ+TZJzs6gXu2uHAM2H9pbbDaTR0ZHM27850wxGKhre4LfILOZ52fPpHWTprIPooSoVK48o4e+\nc9PxPUeP4H7jOt29PFOPVXV25vG4OH5b9zt1C+nploWhKHVVynIhktY6Tmud6dM4tNYXCi6koi2w\n53CMZfxZHDyGxFNHsr+gGLsWFsrzr73ElklfErB8KQemTuaZlwZw7vIle4dWJAQt/IHmISGMdHej\nt48PY7286BMRzqRp39322FarlTFffMqoxETGeHsx2K8UP3h6krBrBys3rr/p/Gb16nPG2YWD8fGp\nx+KtVpag6NC+w23H48hSHv8dH1CTMgN6OGohLTk7C/VqdyWw53BW6CXF4omJW/ftoYXZTN00LUDL\nOjnR3Wrlr21b7RiZKAoiY6Ipncmnk6UNBqIiIuwQUf5LydmQvKTD3oU02PkJiI6qYdsBAKxYNq7E\ndPrYvGc3c+Z+T/DZM5T28+Ppp3pz/Phx7r18mVd9fVLPWxAezuQZUxlfwntdnr98mQWLFlI2IZ6/\nb1ynsosL75YrRy9vL6bs20NiUhLOptyvGbdYLKzc8DdLly3mv2NH+a9UKVq7ueFqMOCkFE86Gfnp\nzz/oeV+ndNe5ODszavh7DP3kI9pHROJvtbDO6ETT+zpxT/MCW8ZbpDlChw6Rf4rLJ4sW216WjExa\nk2BOskNEoihpUqcen2rNVbOZsrZPKK1as9qqefCOO+0c3e0piL0s+UWK6dtQXJJzdrbu28OEj0fz\nemICFSMiOHX5Ep9/8B43nF3YGJB+uUIvL0+m7N6F2WwusY83TUxK4o2Rw3gxIZ6BBoW7UqxOTOD1\nCxeYVbkySikOnTxB0NzZHDx6BH9fX7o+9DAd77ybiuXK3XJN+SffTOTKhr8ZiCbcbGbb9Wu8HhPD\ndxUrYlQKM2S5871N0+YsCJrLun+2Eh0TyweBTWhUq3aJ7ORRkh7/Lf6vOOTsu5o0Y7IycCEpiYq2\nH8ijLBZ+MxoZfefdWV5ntVrZsncPGzZtwGAwcF+He7kzsEmJ/P+/OCvl7c3zL/Rn4PdB9LZa8TEa\n+M1ixdKgIfff4t9HURdx9CJXLlqKbM7Ott+MUuqmrdiZHSupAnsOBygWHx9mZd78ubxmNlMzPIxa\nwCMmJ6YbjCTFxXLu2rV05yZqjdFoLNGtjLbu20NAWCh9/PyI0BqDUnQzGmlhsTDqxg0CA5vy/gfv\n0fPEMf729qLp5UtM+Wo8b/R/np59nmL6j/OwZngKGMDJs2fYu3E9k7086eDtQ6CLMyNRWOLj2Bgb\nS6LW/Gi2cF+nLlnG5u/ry1NdHmJAr8dpXLtOifxGGrz6OFB8C2nJ2bfm6Dnb39eXl156lb7xCUyM\niGBqWBjPxMTSvsejNK5dJ9NrtNZ8/t1kZo0ZTdONf9Pw73VMHj2Sb74PKuToRWF4pnsP3h07jsMd\n7+PP5q3o8PqbfP3xp3n6NLSoOLQ1vEjn7JxMHaZrp2RrtyRb/9MoDrMdt/LfuTNUjY+jNOBq28XW\n2KAwKUVQdDRNbUsWtNYERUfTseN9JbqYvnLjOjWtVvxLleJCfDyn4mLxAHysVv709qGdhzvPJSXx\noI83M0NDCYuKYqOTkbC4GLz9/Rm+aCG+vn482TV994EDJ0/QRoGL7WsbUL4CIRcu0DgpiSmhoUy2\nWqnX7h4euqe9Hd614yjKsxv5RHJ2Nhw9Z/fo1JnmjQP5c9tWkhIT+aRVaxrUrJXl+YeCT7L3zz/4\n0dMDN1v+eNBq5YkVy+nWqbM8+KqIMpvN/HNwP2ERkQTWrZurjestGjSkRYNC74ZZILYGHcHa5h57\nh3FLt3oC4rvAe4CbUioy5TCQSHLvUpGGoyfnW6lSsTKHL1+mappZzONaU8vkzA6jkSeiornDZOIw\nYKxRiy/7D7RfsEVAgxq1WK4MWJWickBF4hLiiUtIYL/ZzMfvvMuCH+YS6OKM1prFYWEEGQyUMSii\nrFZ8gXdcXPhg6S83FdN+Pj6sT/N34OriQo1q1bhy7Rql27Xnpad607BmyVy2kVMpGw2LI8nZuRPY\ncziHtwSxONgxW+dVKV+Bfo8+lqNzdxzYTyeLObWQBvA0GOhotfLPgf1STBdBZy9d5M1RIygbFkZF\nNNOtmnu6dOXtgS9lO1kVHhXJ3MU/s23LJlxcXHigy0M81bWbQy69TFmSV9Q3hmf5ldVafwZ8ppT6\nTGv9biHG5LAcPTlnpU+f5/j44H68YqLppBRHteZjq+YRfz8Wubkz7IOPCblymQ7lK9CiQcMiOSsd\nn5DA9gP7SExMpFWjQPx8fLK/KI8a165D5eYteGfXTp53dcEELNRgatCQ9i1bsXnbZg6cO0t9Fxci\nrFYqGQ2YtcYMmJycqKrgeljYTeO2bdacyb6lWBIaSk8vTxSwJS6O3b6l+GHI0AJ9T8VBSlIuCju/\nC4Lk7NxL2Uy+edk4CN5b7CZCUni4u3POYLzpeLjRQA0HbGV68dpV5v2yiL3/7sLXx5eHu/fkofYd\nis1Egtaaj8aN5bkbN+jlndz+MNZq5aU1q/i9UWMebJv1LG1cfDwvD3uLFhdC+NzNlZioSGbNms7x\n48cY42CPZXekvS3ZVj1a63eVUhWVUncrpe5J+VUYwTmihm0HENhzOJu999o7lHzToWVrXh4+kted\nXWmQZOZNpajr7c1ao5F+L/SndeNAHr3/AVo1alwkC+k9R4/w6AvP8Otnn7Dpyy94um8fFq9dVWD3\nU0oxdsQoAvsPZEKZcnziV5qKfZ5n0pjPMBqN9H70ceaZTPwZE0MdF2f+tFi5YLXi4+OLwWhgfUwM\njTP5eM7kZGLi2HGsrFGDh6Ki6REdw+TSZfns40+lkM6GIyXl2yU5O/dS1lHv2TvdzpEUjPvvvIv1\nJhOH07TG3BMXx06TMx1b3WHHyHLvengYL731Ov5rVzM+Jpr+586weOJ4Ziz8wd6h5ZvzVy4TevYM\nPdP0inY3GHjeycjva1bf8to/tm2h8qWLDPf1obaLC01dXfnS25sD2zZzKuR8QYeebxwtZ2c756+U\n+hx4CjgCWGyHNbCpAONyeP4du7N4/RhqRJWlebNB9g7ntj32QBfatWjFvCU/c2jfHkL9SzOkZy/a\nFfG2avEJCYz6+APGmpNoZXv636WkJPpNn0qT+g3TPeDg4rWr/LN/H84mE/e0aIW3p2cWo2bP2WTi\n2Ud68uwjPW96rXbVanw6dhzTZ89kz/597ElM4g0PD+729OL3iAjmOzsz/vl+mY5btUIAQV9N5sLV\nKySZzVStEFBsZmMKiqMl5dslOTtvUpbqnXbwpXpaa2Lj43A2mTA5JW84K1PKj5Hvvc/rX3xGzZgY\nrMA5Fzc+em/UbeU5e1i86jc6RITzkq0law1nZ+pZLDy2+Gee7t7T4d5PZhISEnBVCkOG3O6mFImJ\nCbe89tixo9yVoXWis1K0VIpjp09Rs1LlfI83vzniJvGcLKDpCdTVWt/6b1CkU9G3PhV71i/05Bwe\nFcnvWzZz5eoVGtStT/uWLVMT6u0q5+/POwNfypexCsv2A/uok5CQWkgDVDCZ6Bkby+8b11P7ub4A\n/PDrUhbMmc09WhOrFN86OTFyxCjatSiYHxaa1K3Hd+O+BODo6VMsXPoLG//7jxq16zC51+PZrmGs\nWLZcgcRV3DhiUs4HkrPzyNH3vuw5eoTJUydz9swZDCYTXTp34dXn++Pq4kK75i35dd5C9hw9glKK\n5vUbOGR3h6OHDvBMhrj9jEZqGBSnQs7RrJ7jP+WyZuUqJPmUYmd0JK3dklulWrVmSVISbdp3vOW1\n5SpUIDhDG3KtNcHAQ2XKFlDE+csRN4nn5DP504Dj/R9XRBRmG6Zj/53mmUH9OTF9CmWW/MzScZ8w\naNhbxMTFFvi9C9qVGzfYum8Pp0NCcnVdQkIimc1TeGhNvO0jz2P/neaXObNY6ObK+95efOblyTcG\nxdhxY9N97Y6cCubbeXOYPO97Dp48cTtvJ536NWry8dsj+H7KdN5/4y3ZDJSPHDEp5wPJ2bfBUVvn\nnQ4JYdT779LvQggbfLxZ6upC1KqVfDLpy9RzXJyduatJU+4MbOKQhTRAuYqVOJWU/uE0iVoTYrFQ\nzr+0naLKXwaDgRFvDWMUivERkSyMiGBQVDTh9RrQq1PnW17breN9/O3mxu/R0Vi1Jt5qZVpkFFSq\nQtO69QrpHeRd2odpOZKcFNOxwD6l1HSl1Dcpvwo6sOKksJLzF19/yetxsXzk7c2zvr5M9/SkWvBJ\nFvy6vEDvW5CsVivjp03h+QHPsfSTD3lzyCCGjh5JdGzOfkBo3TiQXcBlszn1WKLW/GYw0uaOuwD4\na8tmelitlE6z07mBiwtNzGa27Ute+x606EdGvvU6Hot/wuuXRXw4bCjTf5yXb+9T5L/i3LkjG5Kz\nb1Ngz+E4N2rsUAX1klW/8pQ5iY4eHhiUws9oZLS3N3u2beXS9WvZD+AgHuvWnQVOTuyMi0NrTZTF\nwriISBq2aE2Ag8y85kSrRo2ZPTUIn+de4Fy3R3h0xEi+HTsO1zSPkc9Mad9STBg7jh+rVKVTZBRd\nomM42bI1X348tkjuaUrLkZfk5WSZxwrbr3ynlJoNdAOuaq0bFcQ9ioqC/vjwaugNLp89Q5c0GxaU\nUjzp6sInG/5m4FO98+U+VquVRat/47eVy4mIiqJly9b07/0slcuXz5fxM/p57WrOrPmNFV5euBsM\nWLRm3L49TJw5lfdffyvb6/18fBjw4mD6zZhKT6sFD+A3ZaBm+w7c0TgQALPFjNPNT+fFBJgtFs5c\nvMDynxaw0MOdUsbkHfGPWyw8/fMi7m/XQWaSi6Di3rkjG5Kz80G92l05fOUii4PH0F31wrlm0V4+\ncOHsWdpnaH3mrBTVnJy4dO0aFUqXsVNk+atOteqMGPUh46ZMJub6NeKVol3He/lg8Cv2Di3flS9d\nmn69nsj1dQ1q1mLW11MIjYjA5OSEl4dH9hfZmSMX0pCDYlprPVcp5QZU0Vofz+f7zwG+BUrEFF/a\n1nn5nZydjE5YSN5tlPZnzwSt87W35MSg6ZxetYJRLi6UcXJizca/eXnPbmZPnkqZUvnfB3LVyuWM\ncHHB3fYTtVEpXvX0pPvGDbwz+NVsf0oHePzBhwis34A/Nq3nelw8g++4izsDm6T+lH7PnXfx+a9L\necJqxcN27HxSErsUvBXYlNWbN3KfxZpaSAP4GI08YLWwec+/UkwXMY6elG+X5Oz807DtAC6EH2XF\n+iUQvKRIr6OuXb8BOw8fJO0DoyMtFk5ZLFQLqGi3uApC22YtuHvGbK6Hh+Hh5oaHm+O19ysMjtLl\nqTjk7Jx083gYmAA4A9WVUk2Bj7XW3W/35lrrTUqparc7jiMpqOTs5+NDnYaNWHT4IH28vQFI0pq5\niYnc3/nBfLnHtbBQ1q1ZxXIvLzxtRWdfHx+uR0SydO1qBj3dJ1/uk1ZUdDT+xvT9UT0NBpTFQmJS\nUo6KaYC61apTt1r1TF9rWrc+dzzUnWd+W8GDFguxBsUag5FXhrxBKW9vnE0m4gw3d8yIUwq/Alh3\neDj4JPMX/cip4JNUrlyFp594mlaNsp9hTUxK4vtfFvHb6pXExMbSqnkLBr0wgBqVKuV7jEVVcUjK\nt0tydv5Ku5m8KG9MfKzrw/Rfuxq/iAg6e3hwxWzmm4QEuj7yaJZF1emQEBb9upSzp05StWZtnnzk\nUYfJFwaDgbJ+/vYOQ9ymiKMXAcfP2TlZQPMh0BoIB9Ba7wNqFGBM6SilBiqldiuldoddv/lBFo6o\nom/9AllHPeL1N1lathwvRsfweWQkj0dF43zn3TzxYNd8Gf+/CyHUMRpTC+kUdzgZCT52NF/ukVGr\n1neyKsP66A2xsVSqWi3fPrpSSjG0/0BGj59I0jPP4v5cP6ZNnUn3e+8HoGPrO9hkdCI4MTH1mtOJ\nifxldOLe1nfmSwwp9h07yrDhb9Fm104mxcfR5eB+xowawabdu7K9duw3Ezn10wKmmpNY5eZKy107\nGTJsKNfCQvM1xqKquCTlfPAhkrPzXVHfmFjO358pE77maNv2PKdhbCk/Ogx6hSEv9M/0/EPBJ3h1\n6KtU/mMNL58/R+U/1vDq0FfzdXO1ENk5tDW8yD8qPCdy8vl/ktY6IkMvW2sBxXMTrfUMbI/Cbdii\nQSYrWx1Xfq+jrli2HD9+N5Nt+/dxNfQGXWvUpEHNWvkQabIKpcty2mwmUWuc0/x7OGa2EFC56k3n\nWywWFq5ayZpVK4iJjeXOu9rQ76neuZpN6Pf0MwzevZPrEeHcYTBw0mplmcmZsS+/mq/9lZVSNK5d\nh8a169z0WmnfUrz11jAGfTWelonRoGG3wcDQoW9TvnT+7h6fPX8Or1stdLU99aqKyYR/bCwTZ02n\nXYuWWb7nkCuX2b15Iyu8vXCx/bDztI83FyIjWf77Wl7MpzXzRdmhreFSSCeTnF1AinrrvKoVAnL8\nlLtps2byhjmJrrZZ6+ZubpSNimL67Jl8+9n4ggxTCOD/m8QrF/FHhedETmamDyulegNGpVRtpdRk\nYFsBx1Vi5Pdsh5OTE/e0aMljnTrnayENULl8eRq3voOxkZGEWixYteav6GgWO5t49KGbH53+6bdf\nsztoOqPCQplqTqLU2tW89PZQIqOjc3zPCqXLMGfyNMo+25c/mrcirkcvpk2eWui9RDvd3ZZf5iyg\n3ZvDafvWMH6eu4Au7drn+32OHj9G2wyP923t5sa5kBCS0nQkyejMxQvUczKmFtIpmhkMnA4u/jNN\nW4OOSCH9f5KzC1BRnqG+eO0qh4JPEBsfl+25+w8f4r4Mn+7d7+nJvsOHCio8IVIVt03iOZmZHgKM\nBBKAhcDvQNHLIg6sqM92pPX+m+8weXYQj/71B9YkM9Vr1GDs4FeoWiEg3XnnL1/mn/V/86u3F662\nAu8VXx+uhl5n5fq/eObhR3J8z1Le3vTt9Xi+vo+88Pb0pEvbdnm6NiExkblLf+H3tauJT0igTZt2\nvPjMszdt2ixfpizB16/S3NaoH+BsUhJeXl6YbrGRtEqFAI6bLTd9anDAYqVq9eLbHi4lIZfQFnhZ\nkZxdwApyM3leREZH89GX4zi2dw/lnYxcUAZeeL4fT3XLepm8n48PF5ISqeHsnHosJCkJfwfZtCYc\nU9o+0sVpAiTbmWmtdazWeqTWupXWuqXt9/H5cXOl1EJgO1BXKRWilMp8cVcJENhzOMYy/iwOHkPi\nqaLbtNzd1Y3hLw9hzaKlrFy0hFlfT8l0lvjkuTM0MRpTC+kUdyjFydtYX30jPDxXM9tFxfvjPuXM\nj/P5Kj6OOWhK/bGWl99586YZpCeeeIrxiUmcta3Pvmw2MyYujiceezLdEo+tQUfSJaUq5SsQeOdd\nfBARwWXbUpxlkVGsdXenRz5tQC1q0m42LC6zG/lBcnbhaNh2AIE9h7NCL7H7LPWnk76i0r+7Wenl\nyVx3d+Y5GVkWNJ3Ne3ZneU2PHo8yITaOSEvyE+cjLRa+jIujR49HCyvsEiXi6EW2Bh1JfSprSZQ2\nZxenQhpy1s2jDvA2UC3t+Vrre2/35lrrp293jOKkYdsBAKxYNo7HKNo9TU1Opls+pjygTFlO2JaC\nGNIUgcetmgp52C1+9PQpJnwzkQtnTmMBGjdpzvDXhlLOv+jv5j7232lO/buLpT4+GG1fiyG+Ppy/\nfo21Wzbz6P0PpJ7brcO9xMTE8OKCeZiiokkwOdHr6T48m+YbXEpCsra5h61Bm1KPdyr1MAd7lueZ\nNauIiY6mZZNmfD1gUL6v67a34jqzkV8kZxeulE8W9+ydTvNmgwr9/tfDw9i3awervL1SP5UKMJl4\nMSGB5b8uo13zlple91yPXoSHhdFz9W8EKMUFq5Uu3R7huR69CjP8EiNlT8eVoOVcSZPDygUYqdW1\nrh0jKxzFvdNSTpZ5/AJMA4JIbmMsCph/x+4sXj+GGlGF9zSn/P4mULdadcrWb8CXRw4x2NMTD4OB\ndTExrHV1ZVanLrkaKzQigrdHDueN+Dg6e3mRpDXz9+3hzfffZf6304r8U52Cz52lmUGlFtIpWqM5\nfuI4pCmmlVI81a07vbo8SGhEZGprvtSxbLMaqQmpfg+ioyPZuv0Pzhw9T+2rfoy8/2OUUlSoaKJM\nrESQcoAAACAASURBVDPFSXFPyPlEcnYhSymoTwcXXt5OydkRUVH4GW/eLxHg5ER4aNadfIxGI0MH\nDKLfU725ePUqAWXL4uPpVaAxl1Rbg46kdqzImLuKe3GddvKnXDHYaJiVnBTTZq311AKPRKRK6Wt6\nIbxg2s1ldGP9Ck7n83ptpRSfjxzNVzOm8vDmjWC1Ur1mTca9PCTXM6WrN62nbVwsD9r6Z7soxQAf\nbzZfvsTOQwe5M7BJvsVdECqWK8dPGrTW6ZZqHEFRNYsHvpicTDfNumdWSAafOsK77w8jNrYVZnNV\nnEybaNzwAh9/MIFLp2K4snUTbA1PPb/NgJx/4pFyv9xcU5CkkM4xydl2ENhzOBfCjxJRSPdbvD45\nZ1epUIFIF1dOJCRQJ03f/XUJCTRr1TrbcXw8/8feeYdHUXVx+L1bsptkdxMIIZTQa+i9Ix0RqYpi\nA/ETFRUVBAQEKSICIoIKKFWKoiBNmtJBCCC99xJaSCG9b3bnfn8sCQRCCEk22cC+z5NHczNz58yG\n/ObMueeeY3Q60XYi6kwgJ/0jM6xYca+eBZ8JJ9j/3zTOdbWmnnj4FUvv1AdwanbekRlneq0Q4gNg\nFbYNLQBIKZ+O4rV5SHFPv9y5jp0aEpgMBsZ8OoTEDz/GnJyMyWB49EnpEBwURHn5YIWt8lISdDs0\nu2banVqV/NCXLcd3F8/zjsGAXqVibUwse9zdeb9Fq0zNkZ4oSSmZ9O14EhIGYzS2uzP2NsdODGbD\nxj/p1vkN8Lt7/PUNJ9KkSOQXnpbIRg7i1Ow8Irc0GyCm2hWWn7Rpdv/3P+TT7ybTJymJEhoNO5It\n+BcsxOwuT74T48ik1FDObOk3H7+CD2j2Sf9LaQIimcF/7uk8daifxlS8zDjTb97575B7xiS52ATA\nif2xZ0URvU6X6U6F6eFX2Y/NG9byyj2R3WQp2S8lL5Z1/CoOQgimjP2KaXN+ptO/O1GsVmpUr8H3\n7/enwJ1oe0Y8kNpxh6Dg6wQGxWFwb3vPtVS4aF9h67afbc70Pdg26T3eRr3QuavzVJifpshGDuLU\n7KeAyhU6cio40KbZzb+giHdhVq79i80hwdSoU5e5HTvnm3bSTyI5UUM5K5oNNt3OK55WzX6kMy2l\nTL8Hs5MnDkct0de2URP+8C3J+GsBvKTXkyAlvyQlUaVJMyo+pEW4o+FhMDJ64BCSPxqAokh0LpnL\nZY46E0hwoDVdYVKp1CAVbH7S3fQRxZqMInMmVda7b7c8EeanMbKRUzg1++mharO+dzW78hfUqpx7\nkfHsciM4iJnz57Bn/z50Whfat3uWfm/0xt3V7dEnOzhPWg3lzJCS0gJPp2Y/cueWEEIrhPhYCLH8\nzld/IcTDyzg4ydc4YkMCF62W6RMmY+zRk5EmDyZ7F6b22+8xZtBneW3aY6PVaDPtSEPGXf0Kexej\ndOlCxMWuASA5OZkbNy5zI/BbTp46yKeffcCNG5dzxO7c5Ekun5QbODX76cIRNftRRMfG8uFnn1J1\n3x7+cXfnd42axLWrGTb+S2Q6KX35iacxMus/93Tqs+ppuu97yUwZhJ+AusDMO19174w5cUAS4hPZ\nvnYnK+av5th/J1CUx+8inCLOh4/MymnzsozJYODDXn34fc4CFs6YzRtdumVYmu9J4N4d4OkhhGD4\n4JGYPGYTG/sRV6+NIC7+XYzGcvgUPsS58x0Y8vkA4hPictHqrJNShxWergeRHXBq9lNGfnOoN/y7\ng7pRUbzp4YFBpaKwRsMXHh6EnDrB6UsX89q8LONI+pVb9awd6Z7zksw40/WllG9KKbfd+XoLqG9v\nw5w8PtcuXuetnu8wZc80Zlvn8vmMUYz4ZDTmJPNjz1Wj+1AuG0MIPrzODpY6eRQXN5wjsVi5R264\n8/Uty4I5y+jepQhG4xFKlZxK0SKTUan0GI0vEh1dnT17N+eS1VnHGdnIUZya/RSSnxzqqwFXqEna\nCLRKCKoJQUDgzTyyKmdwBP3y7tuN4ED7VsVMCX4kFivnEPec12TGmbYKIVJ3eQkhyuKsXeqQfPP1\nFGLej8Uw2UCB9wtg+NWdo27HWL/s7yzNV6P7UHaZjjh0R8YnleBAKy5limfqWBcXHYULF0ev74he\nXz1N+T2LpQKht4OzZYt33252rQLijGzkOE7NfkrJLw51qdJlOEbauvuKlJyQktLFMqd7jkZ+rJSU\nVe4NfjxNeeEZkZlqHkOA7UKIy9h2OZUC3rKrVU8YR/ce45+/NxGXEM8zTZvRsuMzaF0enaJwM/IM\nYdtt+bAu1apTuULHhx57O+g2V4IDMHS6W35OqAQur7uwaeoWuvfqmiXbvVp1Yc32FXBxxWOf20Xc\n7aTlUs4x6l7mJx6nDFzZMpVRq6YipYIQtndkKSVa7V7KlXXMpnUpD5/EYuWcgpyzODU7Dzm+alLq\n/6c4t7nJvRvJH5fc0uyOz7Tk96VLWBgZwQsGA3FS8nNsHEVq1KJKufJ2u669yW5AICQ0kE1b1nIz\nMIjqVf1o2eJ53Fzdc8i67HNxw7nUiLcz+JGWzFTz2CqEqACktOQ5J6VMyugcJ3f5Y94yFm9cgnxD\nojKpOfTXYbZs2spX33+JVpvxxx+2fQ1dxIu4lKvC8pPjOH7yBJC+QAsh4GH7Nu7rvPc4pDSQeVxO\n7Z7LenYAYA0Ng4sraB5dG586nbJsy9NAVqMbVfzqUL1aQY4eG4pO3weBhsTEJVSqqFC3dvMctjL7\nOKPR9sOp2XnHqd1zAehR/guWXxyX6ljntlOdleudvbCB9cE7gLuaDdilspPJYGDGN98xc/5c5uzf\ni97FhXaduzKx15tpVtbyAzkVkT599giffzECs7kTQjTi3127Wb5qBVO/+QkPj6yV17u44VyOdVN0\nanbGPNKZFkLogQ+AZtjctV1CiJ+llIn2Ni6/Ex4awa9Lf8dtuRvqgmoAZGvJiX6n2Lf1P5p3aPrI\nOVKiAymC9jCB9vLxolyxslxacxljN1s3K2mVmH8182zrdjl6X5mharO+D4ztWjWJHjzamZZSsvvI\nITZu+ofEhAQaN3uGzi1bp2mr/SRxb0khyJpYCSEY+8VkVq35lY2bxqIoVl7o1pIXuw9ErVbnmJ2Z\n7cT1MJyRDfvj1Oy8wxoalqrV6Wm2V6suudrY5XGoXKEjVEg7dm+UPafx9SnC18NH2m1+e5OT5Tul\nlEz9fgpW60hMphZ3RjsReGsyf65cTN+3PnnsOZWmzxDs/y85Eed3OtKPJjNpHouAGODHO9+/BiwG\nXrKXUU8KZ4+eQ9QTqY402FIv6AAHDh3K0Jk+e2FDuuMpAn34yKwHBPqzzz/ls4GfE70rhuTSFjS7\n1dT1rsPzL3fIwbvKHpmpYT3791/ZuewPeglwV6n46+gRtm3fxrQvv7JrBY/MRBh8iqlz7E3/Xic6\nJ7r7ubjo6NnjbXr2eDsnzEuDd99unJy7mqZ+xYhPTCDodhg+XgUfqyasU5BzDadmOxApeme+dJo1\n21cQxhqHdqrvxatVl9S25Y7IvS/nGZGTTafsUQM/PCKUm7fCMRrSVm9y1Xdll//wLDnTPn4FCfXP\nnl0pn6+z++yjyYwzXU1Kee+/xO1CiKcn0z4bGDwMEPJg7oUMBk+jZ4bnmk+eoHl07Yf+vE7t96gD\nBB9ex67ta1IFev4fs/lv2wHCQ8MpP6Ac1epVdZhls5RcvowIDgtj1Z9/sNzdDc87EdWWUtLv9El2\nHNhPu8aPjuZnhcw4esFnwgn2/5fg+5zuak3v/i4zE7m99wHg6CJ17folzl84gaenF8WsycxasoiV\nK1fgJSVhQJcu3Xm/15uoVBnvZXY60rmKU7PzgJQUj4fhUq4KPaiSRrMftRcmrynu6UcYawg+vM7h\nUvQyqykpXVzv5XE1O6cDH/ejc9EDZqRMRAjX1HFFicLdLW9ypp2a/Xhkxpk+LIRoJKXcByCEaAgc\ntK9ZTwZV6/pRILwgYWvCMXR2RwhB0gUzmtVq2v3Q+qHn3Yw8A/BI8bJarajLNqWL+7NEnNh4R6DB\np1p1WjyftQ2H9salWnWWn3x4pOPo2dM0EKpURxpsJZPaIzl46KBdnOnMioaPX0HwS3vM9Q0nOHjF\n9v/6wEtwT7pGRji6QCmKwrQfx7N1+0GEaIIQ17BG7qGhazh/eHjgrdEQbrUyfOUyFhkN9Hkh/aBn\nymfr6C8NTxhOzc4D7k3xyAifOp1S090etRfGEajRfSi7Vk2iy6WyDrOR/HEcvfuPCT4TzsErtvJ7\nj6PZ9twobTCYaFi/Hvv+m4vJ1B8hBIoSj9k8m87PP5etuR83b9rZfTZrZMaZrgvsEUJcu/N9SeCc\nEOIEIKWUNexmXT5HrVbz9bdjGTPiK4IWh6AyCbTXtHw2YBAlyvlma+6Vm/5mwaIFKHGxWLQuvPhC\nD95+eQQqlcqhBbpyhY4cP3nioekeJoOR9Aq5BUvw8Mw4mp8Vsvv2nVZcn5yKFNt2rGXztpsYDStR\nqfQAXL7xHeGWaXh72WRDCzRUFGYuXEDn1u3wuu/344xs5BlOzc4nPGovjKPgUq06a06uoAeO4UxD\n1nXFFhRJebHPOc2Oi4th3/5tREWFU7lyLfwq1XqsVeEB/T9jVPhQLl3ugUpVDqv1CB07PMOz7V7I\nsk1K02fgSuZzPZyanXUy40w7TsJtPsS3rC9zlvzE5bNXSIxPpEK18rjoMm4n/ailtU3+u1k240e+\n1+uoYDQSmJzMqN9/Ra1W87+XXnF4gc4o3aNBtep8W6AAa8PD6GQwIITgTFISazRqZrRuaxd7nMLx\nIH9v3IRG0yfVkQZAtuFK4hxuJidzMSmJcUFB1JaSqorCa//rxfvv96dbu2edkY28x6nZeURm9oSk\nh6NrdkoQ5PCRWdSp/V6e2pLSKMSROH/xJFO/eIv6ifEUtySzWKPFp2Eb+g/+Do0mM24WeHgUZNq3\ns7l46TRhYUGUKfMBPoWzV3Pbx68gwf7WTG1CdDrS2eORTVuklFeBaMAD8Er5klJevfOzLCOE6CCE\nOCeEuCiEGJaduRwZIQTl/MpStW6VRzrSKXi16sIu05F0f7Z06RIGaTVU0OkAKKbVMsrNjeUrl6dp\nH96j/BepIn181SS77sx+XFyqVU+3DqparWby2K/5tUgxXoqL4824eD5RqRn02YgcL+b/NBXZf1zM\nZgsqoU8zpnc3kii1hFssjAsKYrqAUcBwlZpRwaGMHTuGEZ/OQErp7GSYh9hTs+Hp0e3HJcX5zU7X\nWEfW7JSuuHlJimY7Ul16RVGY/c0ARpgTGW/04IMChfjNYMK6dzM7dq59rLmEEFQoX5VGDdtkypEO\nuHqByVPH8v5HbzPl+3Fcvfb4rdj9557Gf+5pp2Znk0c600KIccBx4Adgyp2vb7N7YSGEGpgBPAdU\nAV4VQjjOGlIeU9zTD7W3V7oOZ2BIMBVd0jrlJTQakuLjSEjK2+pXiqLw74bdfDFkLF8MGcuuv3en\ncfBTSNl0k96Dp6yvL7/OnM3Y737ko/GTWL3od1o3bJSjdl7ccA5w/LdwKSX+ezczeNhHvPPBm/yy\naDpRUeF2v26rFk0xm5ch5d3fnZvxCnGqcBZERlFLKhRWFK5ZLCTjRWFZhmfNBub9t5s9Pgl2t8/J\nw7GXZt+Z26nbGZDSNTa7lI0pnPr/KXtoHIGHPZNyE0fT7Os3LqMODeIZt7sN07RC8IpGw8GtK+12\n3TNnj/LJoAFs316ZW0FD2LKtAh9/+jHnzh9/4NioM4HpzuGMRuccmVl/eBkoJ6U05/C1GwAXpZSX\nAYQQfwBdAWe48A5Vm/VN7WR179Jh5QqV2HPyGJ2NxtSxo4mJeBUqjJvethM4+PC6NKKeG0uGUkom\nj5nKzqB/Ub1ie0879PthWu5rwZAxAx/IH0vZ2JJe7WkhBJVKl7GbrSnlfhydJUvn8tvvu1Cr30Wt\n9mbp8r/Z+e97TJ82D4PB9MDxIaGBxMXF4OtbNltlBDt2eIndewZy7vy7WJWWqFTXcXXdxrttXuVo\n/EEKH/iP20KFgjdqCiMluKtd0RtfYNFvv/L8cz3QajO3CuMkx7GXZoNTtzNFVtM9Uh1Vo2OleaSQ\n8kzKC/LjSmJKN1p7MGf+bKzWQZg8ngVAr69OTKwXc3+ZzeQJ01OPs6XEhD1wvtORzlky40yfBDyB\nnF7fKQ5cv+f7G0DD+w8SQrwLvAtQtGSRHDbhLvFxCSz++Tc2b92KJdlC8+ZN6dOvN16F87YCwb2t\nYVPE+a1ebzJ8+BCs0dE0cHXldFIS3yuSD95+h+TLZ1gjV4Dp0S3Ic5rzJy7w79ndGP8wIlxsjrNs\nKdn58r90O9mZitUrpHteVh88WSVFRBy9ukR0dAR/LFuOu/ty1GqbrXp9NUJC49i4ZRUvdnsz9diw\n8BAmTh7L6TNXUak8cXWN4pP+H9O0cdYa9uj1rnzz9XQOHNzByVMnKOTtQ8tnFmFZvps+3TrR550+\nhIdFYLR4gIAEtWCtVY2b8QWSk49zOyyIokVK5sjn4OSxsZdmQyZ0O7c021Gp0X0oZy9sYPnJcZnq\n+mq+dNqm2eS+ZmeFvKg97cgriSV8y2LxLsrOsCBautsCXMlS8ofFQr023e1yTSklp88ex8M0I824\nu1trTp1Ou3KgD7yER8e7i0dOJ9o+ZMaZngAcEUKcBFJb0kopu9jNqnuQUs4GZgNUrVvlYQ2zs3sN\nRg0ey6kSp3Fb4IZGp2HL0m2c/PAUPy36Eb2r/tGTZANFUVjz+3r+WruGmJhY6tetS+++b6Q+iO4X\n5xp1OjFp0rcs+v035l+4QPHSZanfzEyk9zZ+CU2g6vP98S5aKNfrS58+fAZLK0uqIw0gXATW1gqn\nDp1O15nOTO1pe5AfhCTg2gWEqJTqSKegVrfg6NE1vHjnFqSUfDl+BBcuNsFonIkQGpKSzjBh8kB+\n/K4kZUpnrcmMRqOhcaO2NG5k2/gZOnc1AEUKFaJJ+efpF7SIjtYwXDXurLaqifDog5u2BIoSiYeH\nV9Zv3El2eeI129GxdRPsyK5Vk+DikXQdz3vTJfKDE51Cygb53NyMGBxodUjNVhSFffu3QoHy/O/i\nDRrGBdJE68K/Gi1FGrenZYvOdrmuEAJPkxfm5Bu4uJRNHU9Ovoan513tDT4TnprL6+w+a18y40wv\nBCYBJ4AHk1+zzk2gxD3f+94Zy3XOHD3H2ehzmEaabB0KAY8PPAi5GMrezfto1aWlXa//05TZrAvY\ngG6MDk1hDZtmbmFNp3V4eXtRopQvb7z2Ko3bPijOg56vzy6T7Vd4K04wc9U1bkbfRP71DqW9SzNs\n5OBsl+B7HAweBjQBD7auVgerMdY2pnOGjUfVns5JHHEn+MMo6FkIq/U6Uipplgst1gCKFCmU+n3A\n1QtcuhyJ0dg39Tidzo/ExFdY//dq+r9/d7nYarVy7MQ+IiJuU6F8NUqWeLzPomnfKvjPPU2bSi0o\n9FwLvv56NCra4e7ZB72mKLFxY+ja6VncXPOm0YATwH6aDQ6k2/mB9FYW73WiHTGVIzOk3FedXLiW\nI6d3TP9pEhs3XQDxClrTi/jHLyDYN4GBH4/Er/LjlcZ7XF58oTvzF05CrZ6IWl0AqzWcxKRv6fXa\n3VJ6Kv9/8Smmdkajc4HMONPxUsof7HDtA0AFIUQZbGL8Cra2t7nO9UvXkbVlqiOdgrW2wuXLAbSy\n47XDQyP4e8tGjH8ZURlUJBxKIHJvFMpoBX2deK6H3mDcNxMYnDiQ1p1aphFnTDZRi42OZdyr75Iw\nKAH3du4gIWDdVYZ++jm/LJ2DTq+z4x3cpXGbhvw8ew7xe+Jxa2JrMx3vH49+v45Ggxo89LxH1Z7O\nKVKWCh1pJ7iUkhOnDrDbfycajYaWz7SlYgWbfb6+ZaniV4yTp3/AaHgflUpHYuJRNOo/eP65qalz\nREWFoVYVfyA/T63xJfT2idTvg0NuMmzkQEJvFwRZCinn06pFHT795ItHdjBM4V5RbgsYDB78PPtn\ngkMHIoSKl1/owhuvv5vNT8VJNrGXZoMD6XZ+IY1mY9vEV7VZ3zy2KmfIrRQ9R3QCrwScY+Pm/bgb\n/kSlsu1VMhraEHjrNRDYfWX4xW69iYqKZs26FwEfpAzi5Re60q3L62mOc0ajc4fMONO7hBATgDWk\nXTI8nJ0LSyktQoj+wEZADcyXUp7KzpxZpVipooi1Aillmj8A9UkVJeuXyODM7HPjyk3UldSoDDZn\nJmx+OHwK6mZqzBFJeDcpROJXicz/fAEtOz6DSqV6IJqxZ8s+4uvFY2x/J/orwNjFQPS2GPbvOEjz\nDvZpwX0/BpOBryaMYfzYSUS5R4EEj3gPRk4chsFkyPDc3Ej3cLSlQiklM37+hr83HkNRugLJ/LV2\nNL1e78QrL/0PgC+Gf8V330/gwKGOCJUBD6OVAR8NoXSpuykzZcv6ocjTWCy30WjuRqwV61bq1a2Z\n+v03U8YTHNwDk8kmtoqSxLYdH1Ot6io6tH/xkfam99k1atCKhvVbEhcXg07vmq1Nj05yDLto9p05\nHEa38xP5NQKdESmabc9W4468knjq9CEUpWWqIw0ghAsWSxtOnDhIlcq17Xp9lUpF37c+5tWX3yL0\ndhCFvYvi5pb2OetIz7snncw40yn/Iu6tTSaBh/fDziRSyg3AhuzOk12q1q1CWXUZLky5iKGvAeEi\niF0WS8HTBWk2wr6OaOFi3lguWZBmiXARJF1IQtVAhZKg4KLVkWxOxlLSQlBoCAlxCbgbH1w+j7gd\ngaWk9YFxaymFiNsRqd9bLBb+Wb6JvzdvxJycTKtmLej2ehfc3F0fODer+NWqzKIV87h05jJCCMpW\nLpPpqCfYL9KRF0uFiqJw/MR/BIfcpFTJClSqWCPNy9q588f5e+NB3N2XoFLZIvlWa1cWL+lJy2fa\nU8THF5OpAGO++IaoqHDi4mMo4lPigc/TZPTkjddeZdGv74N4C43aG7N5AyV8L9Gmle0hHhYewtlz\nARiNr6Sep1Lp0Gj6sGHj3Ayd6WRLMhZLMq56t3R/LoRIt7KIkzzDbpoNjqPbTwJSSg7sPMS2bdux\nKlZatWhJozYNHksz8xKvVl3YtX1NuhWZsktKOTdHWkm8F3d3E2r1g++RanUoRmPZdM6wlx1G3N0f\nnkbpJHd4pDMtpbRnloNDoFKpGD/1S+b+OJ9tnXZgtVpp1LQh703vi6ubfTcfFvH1oXGNRviP24Nh\noAFtcS2J+xNQlVVjcbMQcPUq3AYiYPiALxg3eTQeBT3SzFGpekW0szTId+6mqkiLRL1bRcXP70Yw\nvx07lZ1Ru3Dp74LQCxb/+Rv7PvqPKbO+QavNXJemzKBSqahQNTM9l9Ji70hHbr6lR0aGMfyLgVy/\n4YKUfgixgurVvBk9YhL6O+ULDx3Zi9X6XKojDdg2G8oWHDu+jyLteqSOe3gUxMPj4dVHevZ4i3Jl\nyrFm/TqiomJo0rgez3fon5q7nJxsBuHC/aXlVSpXzEnpV1BLTExg/sIZ/LNpI8nJFsqWLcuH/frb\nPeLiJHs8DZqdF4QEhvLvxl1ERUVTu34tajWukW2nd+a3s9lw/G9kTxBq8P99L633tGTQqAG5voE8\nK6RsRrRHEOSkf6RDR1YbNmiFXv8T8fG7cXNrBkBCwiF0un9p2jhvu0Q6yX0e6UEJITyA0UBKUd6d\nwJdSyih7GpbbGD0MDBz5MQNGfISUMlciA3s27+OPP5cRHByCR7IHUR2icInTYjmbjNt4N6LLxaBS\nqZA/Swp97sWFqIt8P2k6oyaNSDNPjYbVqb6kGkcHH8PlVRekFZJ/TaZxqYZUqlERgCvnAth1wh/T\nSlNqtQ1dNR2X+l1m//YDNG3f2O73mxnsEemw11JhUlIiZ84eQahUVKlcO01d5RmzphJwtRkeHh8C\nIKXCkaMjWbZiAb1ffx8AvU6HELEPzCtENDrd468W1Kv7DPXqpl8726dwcYr6uBMcshN395Z3bJIk\nJf1Jq5bpr75MmfYVu/e4YDCsxNXVk2vXdjB85AhmfD8D3+L2qwGegsVi4dSZQyQkxFGlcm1MpgJ2\nv+aTwNOi2bnJwX8PMXb8eBIbJ0EhycrZq2mwuj4jJgzNdLvo+wk4f5UNu//G/U93VG625425lZm/\nuq7jYq9L1KpVk849nqd46WI5eSs5jj1S9Bx502EKbq7ujB87gXETRhMVZQIE7u7hjBj6ZYaBDydP\nJpnxGOcDMdgaAbyMrU3tL/Y0Ki8RQuSKI71u2Qa+mjeBgP9dxTLHQlivMCLiIlHrNbjHGoh5Jwb5\nkkT1ocC7bSE8e3li7Gvkv4MHiIuJSzOXSqXiyymj6FfzHUrM9KX07JL0b9yPz7/+LDW6cenMZWgs\n0patEwJrc4XTpxynw1ZxTz+AHOuyZa/2s/8d2MGrvbszauwSRo7+hdf7vMCp04cAWxTYf68/RmOf\n1OOFUOHm9jb/bNqcOta0STs0mg2YzQGpY4mJx9FoDlH/IU5xVhFCMOTToWi144mOmUBU1BJiY/tR\nscINunR69YHjQ0ID2bPvKCbTKNTqggihwt29NcnJL7Fug/26eqUQcPUCfd55iZGj5zN+0kZe79OT\nNev+sPt1nxCeKs22N8nmZMaOGE+wLoTw4+GE/xNBhCYC/6A9+G/cm+V5Txw4idJK3nWkk8xcD7pB\nzLMxnC15jjUF1/Hh+59w/sSFnLoVu+FSrXqOd0Z05Kh0CpUq1mDRvBVMmTSYyRMG8usvK6lerX5e\nm+UkD8jMK3U5KeW9CZVjhRBH7WXQ00CyOZkFCxajn+OKSyktVquVyMZRWD62oL+ho/DwwkS3icJl\ntAul25dEpDj3OpBaSEo0P5A7rXXR0vX1znR9Pf26lgUKFUD8/eCyoeqKwKdk4XTOyDtyOtKR06Ic\nFhbM+IkTUaun4+Zuc/4TEg7wxdjh/PrLn6jVGqQiESLtZjwhdFitd3Pbi/j4MnjgJ3z3/f+IUCB2\nkwAAIABJREFUi6sFJKPVnmHU56PtkgNXqWIN5s1axI6dGwgJvU7VKl1o2KBVupsGQ0ICUWvKIETa\nLoYaTRWuXl2a47bdi9VqZdTYYURGfozB0B4AiyWYWXPfplLFKlSqWMOu138CcGp2DnLE/yiBUbcQ\nkwSqZ1QgIWmlGfMPEWzbuZ0WzzfP0rwGozuqs3cDN7dDw1C8FNRJalxruWJ6zURsqVhmTp/FtFk5\n0g3ebqRUZMqJFD1H3nSYHiqVKrUCk5Onl8yEYBOEEM1SvhFCNAUS7GfSk09YcBhJrkm4lLI5MTFR\nMSgGBXUbNYnnk1C5qfDs4Yl5m5nExNTN+MTvjKeEd3Eunb7E8nmr2L1xD8nm5Exds1bjGhSO8CZ6\ncTQyWSIVSeyWOFx3udLiuaw9DOxJTkQ67LVUuHvPZpIt7dDp/FLHXF3rYzbXYf/Bneh0emrVqElM\nTNoIbnz8Ulo0b5ZmrEXzDvy24E+Gf9aWkcM7s2ThSmrVtF/KTQHPQnTv2pv3+n5KsybtH1p9w7d4\nGRTrBazWmDTjFssB/PzS72SZU5w9d5SISM9URxpAo/FBUXqyacvfdr32E4JTs3OQo/8dQ7aRqFqo\nEEIgVAJ1DzVKCYXIoOgsz9ugVX30B3XE/2f71cTHx0MAiJ0C92dtwRL3tu6cPXWO5GRLTtyKXanR\nfSi7TEeyNYe9VhKdOLE3mYlMvw8svJOHBxAB9LGbRblMfGw8yxasYNu/O1CpVHRo047uvbratTaz\nh5cnIlpgDbeiLqjGbE4GPcjDEm0xm3NT8K2CRLeLITohBks7C/KSRLteS5LOzNjfxpNcPxntRi1e\ns72Y/OMEChfzBiAmKpbNf23h1LkzlCjqS4du7Sni64NarWbitK/4dvxUTi44jdCAb8HiDJ488IEN\njY5ATkU67LFUGBcXh1QezN9VlILEx9tyoPt/MJAhwz4hKuY4VqsfGvUBfH1v8for0x84z2Aw0aRR\n1tp+2wtPTy86dXyWv9YNQufyERqND3Fxf2M0buT55+bZ9doJifEI8WB1EJXKg9jYuHTOcHIfT7Rm\n5zZqvQZRSqDEKKiMtviTtEqkl6SSZ8Usz+tudGfc12MYN/prYr1jEUFAkqDY10XReNkezdbbVvSu\netTq/FHdA7JfkSk/pHc4cXI/manmcRSoKe483aSUWX8VdzAsFgvDPh7J+XIXcZ2oByssXPArx4ac\n4OsfvrTbbmpXNz0dO3Tgr7FrcR/hjk7ngjwoETMFBUfZnDSVSUWhwl68Uvplgg8EU7xIcUIahbDJ\ndQumz02ptoXMD2Xm1J8ZM/kLwkLCGfDeIMLqhaNqo2LPuX2sfmcNEyaMw69WZQoX8+abGV8TcTsS\nS7KFQkW8HHrHeI3uQ9m1alKWNiPacwNLrVoN+O2PSShKH1Qq20uX1RqDENupUf1HAIoXK83cn39j\nl/9GbgbepHy5tjRq0BoXl9xpoJMTvPv2AHyLL2Pl6i+Jjomm5TN16P3GDLwK2jctyK9SLYT4iuTk\n62i1tjrvUipIuY5mTezTnvdJ4knW7LygWs2qFFrkRXhgBIqbgtRIZLjEcMjAc7PbP3qCDKhSuzKL\nV87n/PELbFm7nQ3Bf6OvYasgpSQqxE2Jo0fnF/JNqbzspOjlh02HTpw8jMxU8/ga+EZKGXnn+wLA\nICnlSHsbZ28O7TrCJZfLeIy665y6THDhxKsnOXPkLFXq+D1ihqzz9sdvof1Jw9pXbOVa9bd0uDyj\nQ+2jIel0EolzEmlStTFvfvJG6jmvdO2F209uYAFLmAV1QTXGVw3sn3eQZHMyv/+ylNvPheHxwZ2A\nVHuIqxrHj9NmMuOX71PvsUAhT7vdlz143EhHSn1Se0U4/CrVonWrKmzd/j+QLyKxoBLLeKHbs2mq\nXLi5GXi23aOboTgqKpWKTh1foVPHVx59cA7i7m7kw37v88OMd4mP74EQBRCsp05tVxo3apurtuRH\nnmTNzgvqPVOH6suqcXL2KaydrSgJCuplGtq1akOZiqWzPb9Go6FKHT8q1ayIZqqaDV3/QV1OjeWy\nhdaNWtK73+uPnsSBcKlWneUnsxaddkalneRXMpPm8ZyU8vOUb6SUEUKIjkC+F+ZLZy9haWxNE50V\nKoG1oZUr5wLs6kxrtRre/vgtevd7g/jYeBRFYemC5fzbfzc6nQsdn+1Jt9e7pDlHSknUymiiNkQh\ntQokCTy7eqCVttSQPfv24TYjbWMNt5ZuBIy7SkxULCbP/FfYPSuRDnvXJxVCMPCjkTRrspOdu/5F\no9HQusXH1KzR6KHnXLx0ml8WzeX0mdMULOjFKy+9RNvWXTO9MnDq9CFWrF7OufPn0LlI6tSpT5fn\ne1KyRM5v1FEUxZYbmoerFu3bdqNCeT82b91ATMxVGjd6kQb1WmW5DNlTxhOr2XmBWq1m/NSxbPjz\nH7Yt3IFGo6Hjcx1o0zVny3mr1Wo+GPwer/bpya1rt/ApXhgvH68cvUZukJKid/jILOrUzly9ZWdU\n2kl+JzNPJrUQQielTAIQQrgC+WetOgMKFy2M5oD6gXH1eTWFqhdK54ycR+uiTc1Z7jf4HfoNfueh\nx5bxKc35jRfQzNOgKqlGBknCPgqnukc1tC5a3A3uxEfEoy15d1OZEqegUlS46PJvm2e1t1emo9O5\nJcoqlYqG9VvRsP6jH6gBVy8waOhgLJb+uLl9ye2wAKb+8C0REZG83KPPI8/fvnM9k7+bTXh4d8zJ\nrZHyIMdOrGP9hh0MG/IpLZp3yIE7gus3LvHT7OkcPnoAnYue9u2e5X9vfvjQzof2pkzpSrz7dqU8\nuXY+54nV7LxCp9fRvVdXuvfqavdrFSjkme9WD+8nJQhSJxPHXtxwDnBGpZ3kbzKTiPUbsFUI8bYQ\n4m1gM7DQvmblDk3aNcZ0wkTMnzG2ChdmSfTCaLyDC1GnmeN1eQuKDsKlvwvSqmANsSLNCtoPNcQk\nxSClpOvznUiaaUaJVwBsFTtmxtKieXP0rvbt5GhPqjbrC2S+9rSjifKfK34jOfktjMauqNUFcNXX\nxtV1MkuW/kFSUmKG5yZbkpk56ycslq9ItnRAo3kerXY08BoJiU2Z9uM0EhMfXqhBSsn5iyf5a+0i\ntu9Ym7pB8n4iIm/z6WefcPR4CzxMu9BqV7BuvZnxE53BzHxIvtfsxIRE/DftZdPKLdy6FpTX5jjJ\nIpnR7OBAK0rTnK2rn9MkJMazeetq5v7yPZu3riYhMT6vTXLiYGRmA+IkIcQxICVZcZyUcqN9zcod\n3NxdmTzta6ZNns7p6WcAQZ0atfj4+/452l47pwi/HUHJ5r4kqcyYk8xoPDS4NXMjOj4ai8VKx5c7\ncOVqAP902YS6uhrrRSs1fWvw/vh389r0bJOZdA9HrU969vwldLo304xptcUwmz0ICw+mWNFSDz03\nKOgaiYlGEpN8gLtpOkK0JSnpG6zW8py7cJya1Rs+cK6iKEz5/kt27DyJorRCpTqHq+vPfD1uEhXL\nV0tz7Jata4mLa4nJ9BIAGk0hTKZRHDnalYCrFyhdyr7l8MD2wJJSprZAd5I18rtmnz9xgRHDRpNQ\nJRFZUIG50KPjC/T5sFeupx5ZrVb+WrKONevWEhcXT6MGDejV9/XU6klOHk6KZmdUkSllJdHHz3E7\nBoaEBjJ46EeEhVfGqtRAo97P4iWL+W7SDAoVKpLX5jlxEDLlMUop/wH+sbMteYJvWV++/WkisdGx\nqFQq3Ax5s6SdGSr7VeKU/xmMzxlS7YzfG0+J0iVSnf+Phn5Az14vce3SdQr5eFG64sMdtfzIw9I9\nHLk+aamSvgQFnUSnu1tGy2oNR4hIChTI+KFsMhZAyghUwgwoqeNS3kCj9kLKoIemYezy/4ftO25h\nNP6Z2nwlLm4n4yeM5Zc5S9NUCLgccA0h0uZ8C6FCra7CrVtXs+1MK4rCkWN72LvPH71eT6sW7SlX\n1rYnISQ0kB+mf8vho0cBQc3q1fi4/yCKFimZrWs+zeRXzbZYLIwZOY6kUUkYmtpeqqzRVpb/byW1\n69akVuOauWrPDxNnsilkM/pxelQFVGxZu41D7x/m5wXTMRV4sHyjk7R4terCru1rMqzI5Ggrifcz\nZ/5MQm93wcOj752RNwi9PZu5v8xg2JCc7foIttXI9RuWsmHjZizJFlq1bM6L3d7Azc2QY9e4dv0S\nG/5ZTXBwGHXr1KB1q87OIEY2yR/1dnIBg8ng0I40wFt9e6OeqiJmRQzmq8nErI9B+VLhvffeTnNc\n4WLe1Gte54lzpGt0HwpA8OF16f7cUUW5Z49XEWIW8fF7kFIhOfk6sXEj6dqp0yPzkT08CtK4YV3U\n6gVIeQspLUh5DZiNTl+MQoWSKF+uarrnbtqyDZXq1TRdDN3cniEsQsuVgHNpjq1YvixSHiEpKZHQ\n0GCCggKJjr6NxXqcEr5ls3X/iqIweeoYRo2dy/q/y7FiVQE+GTSMteuXkpxs5rPhn3D4aF0Mhi0Y\njVs4dqIZg4d9nGH6ipMnk3PHzhNTKBa3pnf/LtQmNbKnZMvm7blqS0hgKFt2bcX4rRFdFR3aolo8\n3vUgqnE0m/7amqu25FeKe9pemNNL93DUlcR7kVKyd99uDIaeacYN7j3x3+tvl+tN/OYLZs09SkjI\nZ0REjuG3P24zdMTHJFsy16DtUfx3YAcfDviEv9YV4sChdsycdYoBg94lNjZtBc2goOv8NPtbPhr4\nHpOnjuXS5TM5cv0nFacznUn8N+/l3V4f8Pwz3ej3Zn/2bd9P0I1g/pizjJ+/ncO+bfvTtIq2B361\nKjNl8iQa7m2A+wA3av1Tk0ljxlOveV27XteR8GrV5YEuW46+E7xSxRp8OXo4RYr8SFRUM+At3ni1\nGn16f5Cp8wd8NIwWzWMxGt7Eam2FojyHyRRFEZ+djBk5/qE1aKWUINL+TAiBSOfPvk3rzsDfBFyd\nRkRkHNEx4dwK+gyViMDHx/dxbzkNR4/v5d9dARgMv+Dh8SoeHm+j1//CrHnz2bFzHbfDimMy2Wp2\nC+GCyfQaUVGV2Ld/W7au6yT/YbFYQfdgKofQCczJ5ly15dql66irq1G53vc31EBw5oLTscgsKUGQ\ne0nZdOiIK4n3o1ZruLOXNxUpk9A8pHtsdrh0+Qz79l/EZJqCXl8Lna4KHqYxXA5w48DBHdme32q1\nMu3HqahVk/Ew9cVgaI/JNJHrN6qzZv3S1OOu37jEhwP6sXZ9Qa7d+IjtO6owcMgQjh3fl20bnlQe\nOzFYCFECeEVKOdkO9jgk//6zm4lzJqMdocW9pjuBh28xYtBoVEKF5iUNlJSs/WM9NVZV58spo9C6\n2K9yRoWq5Rk18fNHH/iEUtzTjzDWPJDu4ahR6RTq1GrK7BlNMZttIvw4TRjc3Y2MGjGRD98P4dr1\nS0RHh+Pp4UXVKvUyLBXXrk0rjh77Aymbp0an4+P98fRMoEzptFUyNGoNQggMhkASEv6HSrhh8uiI\n1apl955NtGqR9S6U/+3fg2LtlCZCrtH4IJLqc/T4PizWByt2JCdXJiQ0MMvXdHKX/KTZlWtWRHtZ\nQ9LZJHSVbQVIpFkiV0LLnrm7Sc2nWGGs561Iq0So7zr4ylmFksWcKUiPw/21p4MDrQ6v2WALPrRt\n3ZYN/8zBZBqGEAIpJXFxc+j0fM7XvL90+TTQGCHu6roQAqulKWfPncl2p9zAWwHExrri7l4jzbiL\ny/P47/2R13raqoktWDyP+IQ+eJheA8BVX5v4+JLMmDWDWdMbOnSzt7wiU090IYS3EOIDIcQuYAfg\nY1erHIwFCxehHa3FtYErKp0K13quRKojiR4VjccAEx6veWCYa+Co+jg71v+b1+Y+8dwb6fCfezpf\niHIKLi66LHcz8ypYmNo1G9Oi+fPUrNHokTWXn2n2HM2aFCA29jUiImYSEzMSrXYMn3/2xQM2nDt/\nHLW6FsWL/UD5cjsoW3YDhbz6o1J3xX9P1qIRyclm5v7yA0uX/8qt4HPcuHHtvuolsfj6lkGj/g8p\n780Hl2i1+yhTKuutmp928qtm6/Q6Phs6CGt/K9HfRhM5P5LYXrE092lCozYNctWWEuV8qV22FlFf\nR2ONtDnVsf/Eolur47nuz+aqLfmdyhU6ArYUPUdfSbyft3p/QKVK54mLe42YmAnExb1K5cqX6PNG\nvxy/lpeXD0JcfGBcrb6IT+Hs/wm76t1RlGikTJsyYrWGYTLezZk+dvw47m5pXxZcXZtw/foNZyWT\nh/DQp7EQwgi8ALwGVARWAmWklNlb87XN/RIwBvADGkgpD2Z3TnuhKAo3AwLxrHW37mfS6SREabCU\ntqSOCZVA84Ka7at30q57m1y382lD7e3F/G2fUom+jz74KUWtVjP8s684c+4op08fwmSqRuNGAzAa\nPB441tXVHSkjkFKmiTpIJRKjMWt7CaZMG8fOXQom4xxiYr4kPuF1bty8TskSpUi2HEGvv0j3LhM4\ndPg4p06PQu/6JgI18Qm/UrG8hTq1m2X53p9G7KnZd+bPFd1u1KoBcyv9zK5Nu4mJiqXOJ7WpVq9K\nnrTU/vyrocz5fh5bum7DYrVQsWIFPpz8vrOaRxao0X0ou1ZNoihl81UAxGAwMfWbWZw6fYjAW1fx\nLd4av8q17RKdrVWjMYULTycoaCFG46uAhti4f3Bz+49nmn+c7fkLFSpC9WrlOXZiHibjuwihwmqN\nQFHm0fn53qnHeXoWIPT2TTSawqljVuttXFw0uGidJevTI6PQVgiwH1vXrN1SSimE6J5D1z2JTfRn\n5dB8dkOlUlG0RBEiT0Shr2mr1SxcBEqkxEXrkuZYJU5Br8u/9ZzzE1Wb9WXTrmH5SpTzAiEEVSrX\npkrljOumV6xQHe9CiYSErsdgsKV0WCxBCLGEZ9uNeeB4KSWnzxzmZuBVfH3L4FepVpqHS0hoILv8\nD2E0rkOl0lHY+x1Cb3+A1VqW0NBYihQJZ8wX49DrXRk3ZgrLVyxi09YhKIpC5+db0bPH96jVDzZU\ncpIh9tRsyEXdLlzMmxf75KTpWcPN3ZVPPu/PB4Pfw2Kx4urm1PfsEHQ2Ah8HrymdHkIIqlWtR7Wq\n9ex6HY1Gw8SvpvLd9xM5fmIBoKJsmeIMGjAl3SAIQGJiAnv/20rA1SuULlmaxo3aote7PvQanw36\ngjHjhnP5yiZUKl8UeZJXe75A44Z3I9EvvdCdadOnodV8h0bjhaLEERc3iRe6Pe/sQvsQMvpUhgOv\nADOB34UQSzM49rGQUp4B8k3ezZu9ezH5y+9gFOiq67DGW1GfV2E47A53Ch1Yo63I36BD3/Z5a6wT\nJ1lApVLx5agJjBwzlLDwpQhREMkJ3uv7FpUrpS1HFhsbzRdjh3DhYjxS1kSIlVSuZOLLUd+klm8K\nCr6BRl0BlcoWxfDw6IHB0JaIyHmUK7OX6dNWor3zMuqqd6PX6/3o9XrOL5s+ZdhNsyH/6XZOonXR\n2nUvzP0EXQ9iz9b/sFgs1G9elzKVSufate2NI9eUdgQKexdj4lc/EB0dgVWxUsAz/W7MiqJw8eJJ\nvpwwioiISlittVCrd1Oo0EK+mzQDL6/000IKFvDm+ylzuBJwjojI25QvOwIPj7S/k/ZtuxMSeps/\nV7yE2VwURblF+3bP0KfX+zl+v08KD3WmpZTTgGlCiLLYBHo1UEwIMRRYJaU8n0s25jmtOrUAYOHY\nxQTdCKZYqWL0HvQGqxb8RfTmaKSPRPFXaNOwFZ6FPLBYLM63NzvzqAYuTh4fX9+yzJ+9lDNnjxAf\nH0vlyl+kGw2Zv3AGZ89VuGdDjsLJ0+NZ9Nss+r0zCIDiRUthsZ5DUeJRqWxpImq1J1qtmiaNm6c6\n0k5yDqdm53+iwqOYNnY6G/dsRt1VjaunnoVDFvNKx5fp1e+1vDbPSS5iMhV46M/8925h5qyZXAkI\nISHBjKdHI7y9X0Kl6k1I6Gxmz5/O8AxqYAshKFumcoY/7/Xau7zY7TVuBV2nkJfPAw63k7RkpgPi\nZeBr4GshRDXgVWADUD6j84QQW4D02gONkFL+lVkDhRDvAu8CFC2Zd92GWnVqQatOLVAUJTV3r2uv\nzhzbd5xLZy6z3v1vtp/dyY5v/sUQZWDosEG53mDgaSLobAS1g5z50jmNSqWiapWHl1qUUrJl2xYM\nhtWpEUohVBjc32HTltdTnWkvLx/atWnOxs3DcHX9GLW6MHFxG3B3+5vnO8zNlXt5WsmqZkPO6Laj\naHZ+42ZAIB+9O5CAiKuwBERBQVJMIkVfL8ofby2jSYtGlPPLXs33vGT398Py2oQngjNnjzLhmx/R\naCZiNutQq32IjpmClF9TpMg4DO6v4L/nuQzn2O2/icVLfuNW0E3Kla1An9590u2i6+ZmSG2u5SRj\nHrqjQwhRXgjR9N4xKeVJ4G+gw6MmllK2lVJWS+cr0470nXlmSynrSSnrFSj08De13OLeTTBarYaa\nDavz1/q1hPcLx32FO+5L3IkfF8/oseO4HXQ7Dy198nHmS+cNVqsFIdJuQhFCj+W+pgL93x/KW72r\notcNJCmpMw3q72fa5B+cLXjtRHY1+87x2dZtR9Ps/MLsGfOIqBWB6CzQVNGgLqLG6qUQkRSBtZPC\n3u35u8ZvfDy075R+wy0nmWflX8uR8m30+hqAQAgjKtXnxMTuxWIJQ0ozavXD46Rbtq3l62/mERQ8\nAJ1uHRcvvcaIUV9x4uSB3LuJJ5CMtkdPA6LTGY8CptrHnPzHYf+jxJSKwdDRkBqpc63jSvKzyez8\nZ1ceW+fESc4ihKBRw6bExKZNx42NXUrTxmn8ODQaDS/3+B9LFq1kzYotjBk5Cd9sdlN0kiFOzc7H\nHPzvEPrGrnBP7y+1p4q4uHiEFUQeVDNx4ngE3gpBq7V1jjQZTSjKbYRwQwgfLJZQ4uLm0bZ1+jWw\nA29d47vvx2E2N0CjKYpabcTdvTXwKQt/XZiLd/HkkdFfp4+U8sT9g3fGSmfnokKI7kKIG0BjYL0Q\nYmN25ssLosKjOLr3GJfOXEIpojzwc8VHISIyMg8se3oInbs6r014IpFSEhR0nVtB12xdFO/jvb79\n8Sq4kuiYz4iKWkJs7BC8vdfT960P88BaJ/dgN82GJ0O3HRm9mx5dNRfEPoFyyfZMkVYQkQLVWhXN\n2jTJYwuzh5sbbFqX9eZPTmzUqFaZpCRbK/NCXt7odQlYLftQlFOYzaOpUP40b6XTXXfFqkW8+fab\n3LrVkohINQFX3yYy6ncAXF3rcSXgcq7ex5NGRjnTnhn87OF1VzKBlHIVsCo7c+QVUkp+n7eM35ct\nRVQRmK+YibgUga6PDpeStk1VUpGot6qp2TvzrVKllJw5eo7gG8GUqVSa0hVL2esWHkp8bDxb1+7g\nyImjFClUmI7dOuBbNkdK1OY47YdPZNOEYbTHmeqRVZKTzew/uJNbt65SokQ56tZuzs3AACZMHsf1\nG5GAoHgxI0MHfZ4mb66wdzFm/rCANWsXExx8gurV69O82Uhc9VmrRy2lZP/BHfy1di2RUTE0aVSP\nLp16YjJmJEFO0sFumg35W7fzAx2f68DyxSvxGVyY4HdDsDa1osQpGHYY6PvRW5SqkL+7Ljb7xKbZ\nTrJH966vsHX7e0RFa3HVt6VgweskJHzHM82a0K3r61SrUi9NOqqUkpmzJjFvwRKEWIwiXcFaBo3m\nTW6HvoG7WzPMyVcoU7pEHt5V/icjZ/qgEOIdKeWceweFEH2BQ/Y1y3H5b9t+ft2+BPfl7qgLqnFV\nXIn5JpbArrfw+toLlavAstxKbfea1G1eJ1NzRkdEM3LQGC6bryAqC5T5Co0qNmDYuCG5Vo4pOjKG\nge8N5lblIFRtVSgBCuv6/82o4SOol8n7yAuCz4Q7Sy1lgbDwEIYM/4iQkKIkJ1dDq/2TYkXnEBEZ\nSULCJxjcOwKCwMDNDBs5hAVzfsfd3QjAwUP/8u3UKcTFm1CUGK5cu0mNavVwLZI1Z3rZigUsXLwF\nlaovao03v/3+D9t2vMcPU+ZgMJhy8K6feJyanY95471XuTHqJvt/PIBP5cLEr42nbNGyjFkykhIO\nGtTICpvWdXLmTmeDwt7F+OG7n1j65yIOHRlMIS8verzw3kNbjW/Z9hfLVmwCeqNW1wcZRrIlEKxF\nUYl2REQuQK/bT+/XBuTujTxhZORMDwBWCSFe564Q1wNcgLyvpp9H/LVuHaq+KtQFbQ0lhErgO6g4\nt9fepupqP1RaFa2at6B155aZ7tg147tZXKhzEdMnJlupMYtkz9B9rFy0mp59X7Ln7aSyeskaAuvd\nwmP43VJoCfUSmDbmRxY1nZcn3cceRfHm5Tm2qzft/ZzC/Lj8POcHgoKexWR6D7BFL85f7IvFYsC3\n+N2lWIOhPTEx29j731batu5G4K2rfPn1JFSqb3F3r4GUCpevLGXE6CHM+WlJmn8np88cZs78OZy/\ncJoCBQrxco+X6NyxZ5o6xTGxUfz6+x+4uS1Do7HVU3XV1yYoaDSbtqzmhW53u3Klx/0dG59ynJqd\nj9HpdYz+ZgQ3Lt/gRkAgxT8qRolyT44TDXdXFJ1kjyI+vnzS//NMHbt81Wo06vapOqnWeCGRWK1X\nQNzA4LaHzwaPpV7d/NdMx5HIqM50MNBECNEKqHZneL2UcluuWOagRMdEo/ZK25lNaAWuRdzoP/B9\nSpZ/vKUSc5KZ3bv9Mf5jvFtqTCPQv6Nnw+f/5JozvefAXnRD0lZocK3jSqSIIuh6MMVKFc0VOx6H\nqs36cnPXMGd0+jFRFAX/PbswGEaljgkh0GprEh0d+MDxFkspIiJslWk2b1mHxdINk6nGnfNUGA2v\nEBy6ntNnDqd2CLt46TRDR36BVAbj7t6CuLjL/DRrIrGxsbzW825Jw4CA8wgqpjrSKajVLdm7fxkW\nq4WAgOtUKF+WNq07YzJ6oigKq9b8yuLffiUo+CY6nRtNGtXj/XcHU7JEuRz/vPILTs36YzsSAAAg\nAElEQVR+MvAt6+uw6XU5hTM6nXtERUZiMHQkKmoYUr6JEMXu6O0ZfHyOM/unZRTxebL/veUGGZXG\n0wshBgAvAmbgJ6coQ9P6jTFvMKcZSzyZiCHRneJlij32fFargiIVhC5tdE3lriIpKSlbtj4OBoMB\na7g1zZg0S2Ssgqt7ttMt7Ub74RM5dinj6KWTB7G9uKXdXOji4odgJ1JaUsektKLR7qJiRVv+f1h4\nBJD2xUoIgaAY0TERqWN/LPsNq/VdDIb2qFQ6dDo/3N0nsWz5cszmu/+uPT0LYrXeQMq0m3iTki5z\n4OBuFiyKZOeuRsz95Qb9PnyT4JCbLFz8EzN+3sn16yMxm3cTGzOejZtP0q///7h0+UwOfUL5D6dm\nO8kPtB8+Ma9NeKqoW6cWZvMxvL3fQSq9sVonYEkejVrdjw/f6+t0pHOIjNbuF2JbIjwBPAd8mysW\nOTidX+lE8aPFif48mtjNsUTNj8Y6yMqAAR+hVqsfPcF9uLrpqeLnR+z6uDTj8Sviadak6UPOynm6\nduyEdY4Va5TNoZaKJHpuNLWr1KRAIedGsCcJlUpFs6bNiYlZnDompcRqOUT58m5ER39CfPxe4hP+\nIzr6U2rXLEj1qvUBqF2rFogtaap8WK3RKMohKlWokTp26XIAel2tNNfVaIpgtRoIDw9JHSvhWw6/\nykWJiZ6JlLaX1KSk00THzMBF2xeTaShGYyeMxlFERPZgzrzprFqzhvi4gQhVYzQaH9SaTgjxCZGR\npVmweJ5dPrN8glOzneQbgr8blNcmODSRkWEsX7WAb6eOY+3634mNTa/q5aN547X/YTQuQ4ggCvt8\ngsEQgKfnSiaNH0unji+nHqcoCvv+28pXE0cybsII9uzbjKI8WKnMSfqI9EpfAQghTkgpq9/5fw2w\nX0qZpzvRqtatIv/Yu/jRB9qZ+Nh4tq7ZzqHjRyjs5U3Hrh2yVX0j4PxVhgwcTnzzeGQlidgv8LlU\nmO9++gZPr9xxZKWULJz5K8v/WomqugrlqkKFguUZPWFErtmQVU7tnsvNXRedy4aPQXhEKJ99/jFB\nQYWwWKqh0RyidKlkvhrzLXv2bWXj5u1IqdC+bSuebfdCavvv5GQzg4d9wPkLPmi13VCUaBRlIS+9\n2JC3ettK41ksFj4a+AZHj6vR6fwwmZ7DzbURFkswFstrLP11NTqdPtWWqKhwJn/3FUeOnUH1//bu\nOzzKYnvg+Hd2N8lms9mQ0EIH6VUQkCoiXS6CFFFEuoheRFBRQa4ioMIFC/5EQEQUFEVF0CsiRaWI\nAjZ6L9JBQCBls0m2zO+PLCUQIP1NsufzPDwks285k4STw+y8M6ZC2GxO/j59iOLFtqDU5W3Hvd5z\nJCTcgzKV5OTJlzGbL2+H6/PtwGKZQMkSZ1j02Xe59FXMmDoNrH9orRvk1PUlZ4v8ZMXEUZKzr+Pw\nkf2MHDUCZ0JLFDWB34mM/JM3p0ynaJGMT7k8e/YU/1v6BTt27KVsmRJ07tSDCuWrpDrmrWmvsvz7\nfSjuB0xoPqdVyzI8PfzFgH4uJb15+0bF9J9XJuKrPzdCQU7MMediWLV0LUePH6ValapEFY3kxx9W\nExsfR9NGjWnVqSUh1pCbXyiLzp+9wMHdfxFVJJLyVcvlm39Ekpgzzu1x88efP3Hy5BHKlKlIvVub\npuvdFVdiAitWLmbNT+sJCwvlXx060Oj2Viil8Hq9vPTyM2zYGMc/5+4AglFqMQ5HfazWgzzUqz69\nHxic5nX/OXcapzOO6OJl6NGrI8HBi7BYCl96PTn5IBbLv0lMTObEiUko020olbLajdc7n9DQtVSv\neoH3ZuTNHJELxbTk7Fxy+sQZPnx3HuvXbyQkNISOHTrQa1DPXFt9qSBYMXEUjfa0IuLpp4wOJc95\nbswTbN/RlvDwbpfaYmJn0arlEYYMeoLvln/J5q27KFmiKJ06drumMM6oAwd38cTT/yHM9hkmU8q0\nTp8vCafzAd6c8gJVKqd/md+CJjuKaS9wce6BImWd0gT/x1prnetrVhXUxHy1rz9dwqyFs9G9NaYo\nM75vvVS9UIX/TnuF4JDgm18gAF18QlwK6uvbvGU9C774jBMnT1K9WhV69exL+XKVs/UeG39bxfhX\n5mO3zyExMZEzZ8+SmHgKkxrAiCce5cH7h6RrZZh3Zk5myVIPDscLKGVCazexsaPp/UB53G4Pc+at\nx+n8NyZTI7ReA/yXqMgwnn26L21b5821x3OhmJacnQviY+MZ0vdxznU5R1i3MHxxPlwzXDTxNOLF\n/44xOrx84/iFXeyYMVdy9lXc7mQ6d2+Dw7Em1TtzHs9p3O6eOMLD+edcE8yW5ng8f2Exf8LYMc9m\naTWOr5d8xMxZMUREPJmq/fz5aQweZKFH10GZvnZ+l968fd3falprs9ba4f8TrrW2XPGxLP6aQ+Ji\n4nn/gw8InRWKo6cDe5swwt8IZ0/4XtYuW2d0eHmWPNRyY2t+WsaYsVPYvqML8fFv8NO6OowYOZy/\nDu3N1vv8/sdv+HwdUMpMaGgYZcuUo0rlRpQocS9ly5RP9xKLA/s/Tr26p4l33ktCwrPEx3emWVPF\n/fcNoF+fxxg+tC1RUSPxeatisYykWNF4Bg/sTJtWXbK1P/mJ5Ozc8eOS1Zyvf4GIwRFYClsILh+M\n4xUHG3f/xuF9R4wOL98oVShlIyjZyTY1k8mMxRKEz5f6OSqfLw6n08nZf1rjcDxPmK0FEY5+mEwT\nmTrtrSzNbw6zhWMyn7mm3Ww5Q7g9Io0zxNVutM60MMDebfvQNcFS/PK3RimF6mBi49pfadOllYHR\n5X2y5NK1fD4fs96fRVDQRKzWlBXTgoPLExtr5uNPP+SF0a9e99yzZ0+xbOXXHD5yjOpVK9Omdecb\n7kzoCA8HzqXxyj/YbPZ0xxxqtfHq+KkcOrwvZYfG0oMoXfqWS6/36NaPHt36kZAQz7nzZyhapESq\nedhC5JR9B/ejrpo8oywKU10TRw8eS7VToc/nY8lnS1n01dfExcZRr15d+g/uQ+kKpXI56ryp1B2V\n2PTTbNnJ9gpms5k2rVqzbMUMHI5Rl96ZS0iYTkiIieDgDqmOt1rrcf6ClzNnT1K8WOZ+rhrf3oqQ\n4HdJcG3EFtoIAJfrD4KD1tGk0dAs9ykQ5L2dOAKc3RGGPqO5evqN74yPQo68/SCg0S6OTh9dus3g\nSPKWuLgLnL/gulRIXxQaegc7d+2+7nn7D+zkkaGD+GSBm1823MnsD47x2LD+nDl78rrntLrrbiyW\nr0lO3n+pLd75PeHhR7m1TuMMx16+XGWaNG6TqpC+ks1mp3SpClJIi1xTrnQ52JG6Tfs0vh0+SpSN\nTtU++60PmLF2FhfGXUB9qvjl1vWMeHwkZ06ezcWI866azVPWnF+xpNNNjgwsDw8YRp3ah3E6u+N0\nPk98/L00b2aicqWaeLynUx2rtQt0QoYGK65mtzt4+aVXCLONw+nsizOhH1brf5gwdgIOR2RWuxMQ\nZGQ6E3w+H0mJyVhDQ7L9Ab3KtSpRwlecEwtPYu9hRylF8mE35gUmOkxul633Kogu7rC1a4nMn77I\nZrMTHOTD4zmNxVLsUnuyez+lSxe77nlvT3+LpOQROBwd/S13c+7cTD7+5H2efOI/aZ5TqmR5nnt6\nBK+/NYSEhIpo7SQqMo5xL0wmyJL9D2cdO3aQDb+uRqNp1LBlQG/aInJH286t+LzvF8RWjiO8ix1f\nvI/46fHcGl2HW6pVuHRczLkY/vfdEuxf2TE7Uh7sdfR2EHsulm+++JaBT/Qzqgt5ysWcLe8qXhYW\nFs6kl9/m4F+7OXnqKOXK9qVM6Yr8tG4ZE6fMxOuthdkchdYe4uLeoXnThlmejlGj+m18NOdL9u5P\nGYyqUqk2FouUiOklI9MZoLVm6ZfL6d21P9069qR3t/4s/2pltt7DZDIxftJYSn9ZGmcPJwmDE/AN\n9DJi8DAqVk97dE6kdnGEWkY7UgQFBdOlU2eczgl4PP8AkJx8AK9nKr3uS3uHTVdiAnv37cUe1j5V\nu83WhV82bLzh/Zo3a8uCj77i5XH9mDLxST587wsqlK+aPZ25wtdLPmXIsCeY/YGL9z9M5rFhw/li\n0dxsv48QV4qIiuD1tyZTd00dYlrEknRvEh1VB16c9HyqwZXjh09iusV8qZC+yNLAwq79gbu5UFoK\nQs7W+tp3lLNCKUXFW6rTvGk7ypROGSRo3qw9vXs1JzGxOwmuIcTH38Nt9Q4z/PHnsuWeFouFGtXq\nUaNaPSmkM0i+Whmw8usfmLZoOiFvhhBRJQLXLhdvvTiNYEswd3W6M9vuU6JsNDM/epuDu/8iIT6B\nSjUrEWqTt7EzQkY7UuvTewhe33S++fY+EhNDsYV6GTZ0AI0btU7zeIvZgtlswueLx2y+POLh853H\nbrfh8/nY+OuPrFqzBpPZRJtWbahfr/mlYiLZncSZMydJTHIRHh5BqZLlbxqj1pofVn3DJ599xunT\nJ6hcqRoD+w2kdq2G1xx76u9jvPf+R4Ra518abfd4evPhvAdp0qgFpUtVuOYcIbJLmYqleXXqeDwe\nDyaTKc0Ha4uXLIr3kAdfog+T9fLrnp0eypeRn8+r5decffTYAd597x3+2PQrVmsYHTt0pG/vITky\n9UwpRe8HBtO5U08OH95H4cLFKBFd9uYnihx33aXx8iKjl1nq22MQsS/HYq11+R+Ja1MihSdGMeeT\ndw2LS1yfLJmXWmKii/j4GAoVKnLdkYekpER+Wb+S2R++y5GjYRQt+jbBQaXw+ZKIi3uaQQNu5a9D\nh1i95hjQHa29oBbQudNtPPrwU2za/AvjXhmP29MI7YtAqR+5/75O9O396A1j++bbz5gx6xuCg0cT\nHFyFBNd60JOZPHECNarVS3Xst999yrSZJ4hwjErVHhPzJo8MstO1S/+sfJlyRE4vjZcXGZ2zjTZ5\n7Ous8q4h7KkwTIVNJKxKwDzZzDvTplL6FtnGOS35KWefO3+GIUMH4Ex4GHvYPfh8F3A636ZxIxdj\nx/zX6PBENsjy0ngiNa01fx//m5AaqTdOsdYM4dTRU9lyj0N7D7Nx1W+cOvZ3tlxPFIy3D7OT1RpK\nkSLR1y2knc44nnxmCK9NXcM/5x4mObkqhw615vz5h3A676F1q0iqVq7F6jW7sdvfIzy8Mw5HV+xh\nc/hmyRr2H9jJy5MmAFMJt7+Kw/EcNtvnfPbFD+zcvem6cXm9XubN/wirdSJWa11MJhv2sNZoPYz5\nn15bjCllQuFN40oezGZ5w03kDSOeH8bdoe05edcp9lXez+nHTlM6shSmG2yOtH/nAWa98T5vTZzG\nb2t+D7gtnduNnkSpOyqxYkmnPL9s3srvv8bpbIMj/D5MJisWSzQOxzh+/W03x44dNDo8kYukmE4n\npRTlKpXF9VtiqnbXry4qVC6fpWs745yMHvYfho4awSvLJjHokSG8PuEtPB5Plq4rUlyZnMWNffW/\nTzh4qCp2+1QKRdxHhfITKV5sOg7HKWbPmMHIES+yfecfeD1tU20oYDKFofVdLFvxOcnJVbFaL++Y\nZTZH4PN1Y/Wa76973/j4GBISfAQHp34uwGq9jQMH/7rm+EYNW2I2/4jbfXldX7f7BGbzchrdfldW\nvgRCZBtLkIXde/YQPthOxV9vofz28vx17yFGPvEcCfEJ1xz/vwVLGD56JIuLfM2yqit56cOX+e8L\nrwVcQV2z+cO0Gz2JTdGz+XtXWktt5g37Dx7GZEq9O6BSFszmapw4JWuOBxIppjNg4MD+eMa7ca5x\n4j3vxbnKifdVLwMGZO2p7JlTZ7O5zFY8czycefwMZ6aeYdH+r/j03c+zKXJRs/nDREUHS0F9E2vW\nrcca0jXVg1QOx124XCEo/7xQe1g4JvO1v+BMpjMEBYWQ5qMYynLDgiAszEFoqEpVHAMkJW2nXNky\n1xxfuHBxRgx7nOTkAcTFjSMubgJJSX0Y9tgjmV5rVYjstu3X7RyxHCVieASWIhZMISYcvRzE1I3j\np+U/pzo25lwM782ZQ+gcKxEDI4jo6cD+vp11x37hz583G9QDY7UbPYktB/oaHcZ1VapYHp8v9fdG\nazde7055biPAGFJMK6WmKKV2K6W2KqUWK6XyxQLKje+6nfEjx3LL3Ap4enioNL8ir4weR4M7brv5\nydfhTnazatVqEnq4OOs6i7uEB10ZXI+5mP7uuzjjnDe/iEiXBgPGAzLl40asVis+X/xVrR60Trz0\nQE2zpm0JCvqBxMStl45IcG0gJGQT3bsOxGzeTlLyvkuv+XwJmNRi7mh2/Yd0LRYLD9x3Py7XCyQl\n70NrHwkJ69FMpXevh9I8p/Vdnfhw9jyGP16VJ4ZWYu7subRv1zXznRc3lF/ztpFOHfsbauhrllD1\nVvdy7OjxVG3bftsBDa/asCtY4fuXj43rf82VePOi6GqReTZnt29zL+H21cTGzsfrjcPtPkJs7PM0\nbVyHkiXKGR2eyEVGjUyvBGppresAe4HRBsWRYQ3uuI23Zr3O4uWf8+bMKdRtcmuWrud2e0h2JxPn\ni8Nc2oQp1IQKVpgrmkkOTmbVt2uyKXIBMof6Zu7p2AG35318PheQ8qxAXNxH1K5VhchCRQCIiizK\n2P+8QFDQMyQ4B+F09iPMNo4JL71CkcLFeeapkXg9jxITO4nz56eTkNCLjnfXpU7tRje8d/eufXh0\ncBusIcOJiWlCiei3eWnM09Spdft1zykcVYx2bbrTvm0PChcunn1fCJGWfJu3jVKucln4XaF9qR/0\nt/xmpmKlq6Y0hYZAbBoXiUvZETRQ1emasuxbXszZhQoV5o0pb9Po9j9xue7GZBrMAz1L8+zTY40O\nTeQyw1fzUEp1BXporXvf7NiC+mR4364D2X7/Tix9Lo9IeGd4sa4PoXPZTjw3dqSB0RVMKyaOot6p\nhyn6sGxjeyWfz8c7MyezbMU6lKoPHKZkSQ8Tx79+TbHqdieze88WTCYTVavcmuqhxrNnT/HLhu9J\nTHRRr25TKlWskaENjrxeL+YbPKSVHxWk1TzSm7cLas5OL601zz/xApujthI6KBRlVSR8lkDJdSWZ\nMe//CA65/NyBO9lN7679SRybiK1pSvHsPuEmaWAS096YSvkqgT3SmZ9W+RAFR3rzdl4opr8BPtNa\nf3yd1x8BHgEoUTa6/vJ9Be8f0o/frGbk6FGoIUB1BRtBrVaYfSaK+orSrl0b7uvd/Zqtai86sOsg\niz77it179uKKdZHoS6RI0SJ0v/de2nVtk+27NBYUKyaOksR8HSdPHWH//p1ERRWlerV6aa6jKzKm\ngBXT183bgZCzMyLRlchncxay/PsVuN0e7rzjDvoMfpCIqGt3rNuzdS8vPj+ehHIJEAZsgqGPPUqH\nbrL7LUhBLXKf4cW0Uup7IK3qb4zW+mv/MWOABkA3nY5ACuooh9aaYf2eZItnK6qCCZIhblMs6iET\npZuUwv2Lh7CFNt6e8eY1BfWWjdt4YfxLJN2bxD8LzuG9z4u5rplilmIwU9OzXg/6D+1jUM/yPimo\nRW7JD8V0duftgpqzc5I72c2233aQ5EqkVsNahEfYjQ4pT1kxcRSN9rQi4umnjA5FBADDi+mb3lip\n/sAQoLXW+to1gtKQHxJzclIyf/68GWeck5q3VSe6TNqjyVeLi4ln2pTprPvlF06d+JugWRaim0Rj\nDU156CtmTiztj7ZhxJhhl87RWjOw5xAO3vIXiXtcJBVKJmhaED58hMWHUTysGIndEvlk4TxJyNex\ne99SjixcKwW1yHH5oZi+mYzm7fyQs0X+s2LiKG6tOI/i1aOMDiUgaa05cHAXR48eIDq6DNWq3lpg\n3wFPb942ZHcDpVQH4FngzvQW0vnBgV0HGfPsWOIrOtFFfah3Fd07dqX/0D43/UELj7Az+uVnOXLg\nGI+OGIqjlSPV66EtrGwevTVV2+4te9iybSvqDvDU9aL3aZIfSiZoehCuJBfm0mZMt5g4cfgEVetU\nyfb+FgTVKnfkCGvz3Ra2QuS2gpq3Rf5T87F+bJnRl3bVJWcfO3aQLdt/JdRq4/YGLbHbHTc/KQsS\nE128POl5Nm0+jslUF60/o3KlMCaMnZLj987LjJoIOQ0IB1YqpTYrpWYaFEe28fl8jBvzMs5nnNin\nhRE+NpzQhaEs/GVRhtYILRJdGJPLjDcm9e5uyYfcFCtSNFXbe+/OgWfA9IQZU1sTaoRCd9N4Znow\nW8z4En14DnsoUrxwtvSxoJIVPsTN+Hw+XIkJGP2MicEKXN4W+VOpQtWBwM7ZWms+mDuNIY8P550Z\nJ3njrd/pM7AnW7ZtzNH7LvhiDn/8GYHd/iVhYWMJC1vA7j3VeG/O/+XoffM6Q4pprXUlrXUZrXVd\n/59HjYgjO+3bvp/z4RcIaxV2qc3sMKMf0Kxccf2d365mCwulfZs2xE+MxxubUlAnH0zG946Pnvd1\nv3ScO9nNrh27ibwnEt8pH+YIM/wDtAbfzz4itIO4CXE0b9iMwlJM39TFgnrnbJlfLi7z+XwsXDSX\n+x/qTLeenej/8P2s+3ml0WEZoiDmbZF/BfogyLYdv7Fw8Tpsts9xOJ7Fbp+IT7/GhFfH43Yn59h9\nv1u+glDbIyiVUj4qpbDbH+GHVT8E3E6dV5JH9LOJO9mNsl47lUOFmkhyJ2XoWkOefJgOYe1wdXHh\n7OrE9JiJ4Q/+mwYt6l86xmQ2YbFYiAwpRITFAcfArMywHcxHzYQMDKFTWEeeGvNElvsGKUXF3u37\n2frrdhJdiTc/IR9qN3oSx6LPc2b2V0aHIvKILxbN5f25v+D1zcLhWEtM7FgmTpnB73/+ZHRoQgS8\nQC6oV63+Aa17YDZfnloRaq1HUlIFtu/4Pcfum5ychEmlXvdcqVC8Xq8U0yLrqtapQtCRIJJ2Xi6c\ntUejF/lo2fz6O7+lJTgkmOGjH2fBlx8x6/XpfLp4Hu27pl4ayWw20659G5zvOClatCgloqNxWBxE\nLHTwcL8BfLl0AUOffZQQa0iW+3bs4DEG93qMpyc+y38+HEuve/uyuoBuJtNu9CQ2Rc/m713Xbpct\nAovH4+HzhV9gCx1HcFA5lFJYrXUxmZ7kkwWfGh2eEILALai9Ph+aa9fiV8qC1+dN44zs0bxpU5zO\nhana4uMXUb9eg1R7DQQaKaazSVBwEM8+9zTeJ7zEvhHLhXkXiO8XTyP77TRr3yRT17Q77JQoG01Q\ncFCarz88bCC3nanHkaZHODroGBceuIDntJfv1i5nw6rs2X7W6/Uy5pmXONXvNLYFNmyzbKj3FK9N\nn8qhvYez5R55TbvRk9hyoK/RYQiDJSTE4Ur0ERRUJlV7SEhNjh8/fp2zhBC57WJBHfP6GwZHknta\nNG+BSS2+tFstQFLSbszm3dSqkXOLBvXv+yhFi35HbNyzxMR+Tlzcizgc83hsSPa8C55fBe5/I3JA\no5YNea/yDNYsW0vM33HUf6QedZvUybENL0KswXgTvLhUInQDc3kzvqJelFvx+tCp1G9+G7aw0Czd\nY+efuzhX6BzhnS8vrRd8SzCuHoms/PYHBlcZmNVu5EnR1SJlhY8AZ7dH4Ai3kpS0h5CQqpfaXa6N\n1L21ooGRCSGu1m70pJR9AwiM9afr12tO+7brWL6yFx5Pe0zmCwRZvuf5557Das3a7/0bKRxVjHff\n+Yi1Py1j/4H9lCtbmZYthgf0Sh4gxXS2K16qGD0H9ciVe61duo61O9ZhfsqE+f6Ub6Xngpez5/6h\nSM0i7Ph9B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FhASiKvqpQqfvUBSqm7gS5AI631rcBk/0vzgOe01nX89xp7xWnJWusGwEzg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\nSVJMCyGEEEIIkUlSTAshhBBCCJFJ/w/FSis6B/t/IAAAAABJRU5ErkJggg==\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Cross-validation score: 0.929 +/- 0.088\n"
]
}
],
"source": [
"knn = KNeighborsClassifier(n_neighbors=1, p=2)\n",
"knn.fit(X_train_pca, y_train)\n",
"classifier_plot('kNN', knn)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The above extreme choice of `n_neighbors=1` leads to overfitting. The following validation curve shows that 7 is the optimum for the hyperparameter `n_neighbors`."
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {},
"outputs": [
{
"data": {
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rJxPj/xHUPA+tbykdD/oLID+/9PeKyJ+xriYAHgb25mO/1UBjEQnHKhLDgdvc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\nAAWeFviY975QAAAAAElFTkSuQmCC\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"validation_curve_plot(knn, 'n_neighbors', np.arange(1,10,1))"
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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YGDtytBTSAnDjBESt9Rmt9TbH3+OB/UDlorq/80QXmeySN0dPRXDP4Mf48rWX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\nKaWUUiqf/h/bDZXEqOqKrgAAAABJRU5ErkJggg==\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Cross-validation score: 0.977 +/- 0.035\n"
]
}
],
"source": [
"knn = KNeighborsClassifier(n_neighbors=7, p=2)\n",
"knn.fit(X_train_pca, y_train)\n",
"classifier_plot('kNN', knn)"
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.98148148148148151"
]
},
"execution_count": 34,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"y_pred = knn.predict(X_test_pca)\n",
"cv_scores['knn']=accuracy_score(y_test, y_pred)\n",
"accuracy_score(y_test, y_pred)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Comparison of Algorithms"
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"{'forest': 0.98148148148148151,\n",
" 'knn': 0.98148148148148151,\n",
" 'lr': 0.98148148148148151,\n",
" 'ppn': 0.92592592592592593,\n",
" 'svm': 0.98148148148148151,\n",
" 'tree': 0.96296296296296291}"
]
},
"execution_count": 35,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"cv_scores"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Comparing the six classification algorithms, we can summarize that four of them (logistic regression, support vector machines, random forests and k-nearest neighbors) achieved an accuracy of 98.1% on the test set. The limited number of samples and the fact that (using this specific training-test division) there is one red outlier of the red class prohibit the models from achieving a higher score. In fact, 98.1% accuracy means that out of 54 test samples, only one was misclassified.\n",
"\n",
"By timing the learning of the four best algorithms, we see that the k-nearest neighbors classifiers can be trained the fastest, in 410 $\\mu$s. This is thus the best-performing classifier for this dataset."
]
},
{
"cell_type": "code",
"execution_count": 36,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"473 µs ± 134 µs per loop (mean ± std. dev. of 7 runs, 1000 loops each)\n"
]
}
],
"source": [
"%timeit lr.fit(X_train_pca, y_train)"
]
},
{
"cell_type": "code",
"execution_count": 37,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"650 µs ± 64.9 µs per loop (mean ± std. dev. of 7 runs, 1000 loops each)\n"
]
}
],
"source": [
"%timeit svm.fit(X_train_pca, y_train)"
]
},
{
"cell_type": "code",
"execution_count": 38,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"80.6 ms ± 7.53 ms per loop (mean ± std. dev. of 7 runs, 10 loops each)\n"
]
}
],
"source": [
"%timeit forest.fit(X_train_pca, y_train)"
]
},
{
"cell_type": "code",
"execution_count": 39,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"410 µs ± 101 µs per loop (mean ± std. dev. of 7 runs, 1000 loops each)\n"
]
}
],
"source": [
"%timeit knn.fit(X_train_pca, y_train)"
]
}
],
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