{
"nbformat": 4,
"nbformat_minor": 0,
"metadata": {
"anaconda-cloud": {},
"kernelspec": {
"name": "python3",
"display_name": "Python 3"
},
"colab": {
"name": "Copy of machine_learning.ipynb",
"provenance": [],
"collapsed_sections": []
}
},
"cells": [
{
"cell_type": "markdown",
"metadata": {
"id": "llcCNtFkyHe2",
"colab_type": "text"
},
"source": [
"# Übung 2: Predicting Conversion Rate\n",
"\n",
"**Description**: \n",
"Data about users for a website: \n",
"* Whether they converted or not\n",
"* ISP country of origin\n",
"* Marketing channel taken to conversion\n",
"* Age\n",
"* Whether they are repeat users or not\n",
"* Number of pages visited during that session\n",
"\n",
"**Goal**: \n",
"Build a model which predicts conversion rate and, based on this model, give recommendations to the product and marketing teams to improve conversion rate "
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "jcaDvST6yHe4",
"colab_type": "text"
},
"source": [
"## Import Libraries and Load Data"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "kHY5gKZRyHe5",
"colab_type": "text"
},
"source": [
"First, import all necessary libraries."
]
},
{
"cell_type": "code",
"metadata": {
"id": "2iuiYCXVyHe6",
"colab_type": "code",
"colab": {}
},
"source": [
"# Analysis imports\n",
"import numpy as np\n",
"import pandas as pd\n",
"\n",
"# Visualization imports\n",
"import seaborn as sns\n",
"import matplotlib.pyplot as plt\n",
"%matplotlib inline\n",
"\n",
"# ML imports\n",
"import sklearn\n",
"\n",
"from sklearn.ensemble import RandomForestClassifier\n",
"from sklearn.ensemble.partial_dependence import plot_partial_dependence\n",
"from sklearn.metrics import classification_report, roc_auc_score, roc_curve\n",
"\n",
"# Miscellaneous imports\n",
"import warnings\n",
"warnings.filterwarnings('ignore')"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "markdown",
"metadata": {
"id": "U7Bl8PRAyHe-",
"colab_type": "text"
},
"source": [
"Next, I'll load the data."
]
},
{
"cell_type": "code",
"metadata": {
"id": "3UqPbtYoyHe_",
"colab_type": "code",
"outputId": "235da3fa-7b03-4530-81de-91f5fd56fc17",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 204
}
},
"source": [
"df = pd.read_csv(\"https://raw.githubusercontent.com/pwinslow/Conversion-Rate-Optimization/master/conversion_data.csv\")\n",
"df.head()"
],
"execution_count": 115,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/html": [
"
\n",
"\n",
"
\n",
" \n",
"
\n",
"
\n",
"
country
\n",
"
age
\n",
"
new_user
\n",
"
source
\n",
"
total_pages_visited
\n",
"
converted
\n",
"
\n",
" \n",
" \n",
"
\n",
"
0
\n",
"
UK
\n",
"
25
\n",
"
1
\n",
"
Ads
\n",
"
1
\n",
"
0
\n",
"
\n",
"
\n",
"
1
\n",
"
US
\n",
"
23
\n",
"
1
\n",
"
Seo
\n",
"
5
\n",
"
0
\n",
"
\n",
"
\n",
"
2
\n",
"
US
\n",
"
28
\n",
"
1
\n",
"
Seo
\n",
"
4
\n",
"
0
\n",
"
\n",
"
\n",
"
3
\n",
"
China
\n",
"
39
\n",
"
1
\n",
"
Seo
\n",
"
5
\n",
"
0
\n",
"
\n",
"
\n",
"
4
\n",
"
US
\n",
"
30
\n",
"
1
\n",
"
Seo
\n",
"
6
\n",
"
0
\n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" country age new_user source total_pages_visited converted\n",
"0 UK 25 1 Ads 1 0\n",
"1 US 23 1 Seo 5 0\n",
"2 US 28 1 Seo 4 0\n",
"3 China 39 1 Seo 5 0\n",
"4 US 30 1 Seo 6 0"
]
},
"metadata": {
"tags": []
},
"execution_count": 115
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "-bDSc78HyHfC",
"colab_type": "text"
},
"source": [
"## Data Cleansing and Basic Descriptive Analysis"
]
},
{
"cell_type": "code",
"metadata": {
"id": "ajL1q4xKyHfH",
"colab_type": "code",
"outputId": "3cac3526-e585-4143-bd8e-afb0f3b62608",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 382
}
},
"source": [
"# Look for outliers or major skew\n",
"sns.pairplot(df[[\"age\", \"total_pages_visited\"]])"
],
"execution_count": 116,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
""
]
},
"metadata": {
"tags": []
},
"execution_count": 116
},
{
"output_type": "display_data",
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAVkAAAFcCAYAAABiP81oAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjIsIGh0\ndHA6Ly9tYXRwbG90bGliLm9yZy8li6FKAAAgAElEQVR4nOy9e3xU1bn//157bplcICEERAICimj0\ngBCgQVQQeihW1PoFQSUolBIurbaWop5aj5x62p9IqfVSrtWAggpCe7y0tVoQtCoiQaWCIgooQSAh\nJJDLZG57/f7YszezZyYhXIbhst6vV16ZfVt7TRieWfu5fB4hpUShUCgUyUFL9QQUCoXibEYZWYVC\noUgiysgqFApFElFGVqFQKJKIMrIKhUKRRM5oIzt8+HAJqJ9z+yelqM+g+uEonNFG9sCBA6meguIc\nR30GFUfjjDayCoVCcbqjjKxCoVAkEWeqJ6BQKM5MdF1SVR8gEArjdjrIzXCjaSLV0zrtUEZWoVAc\nM7ou2ba/lknPbqS82kd+jpdFd/SlR/ssZWhjUO4ChUJxzFTVBywDC1Be7WPSsxupqg+keGanH0lb\nyQohngFGABVSyssj+2YDNwAB4CtggpSyJnLsv4CJQBi4W0r5j2TNrSm63P/XFp+765HrkzgTheL0\nJhAKWwbWpLzaRyAUTtGMTl+SuZJdDAyP2fcmcLmUsifwBfBfAEKIAuBW4LLINXOFEI4kzk2hUJwA\nbqeD/ByvbV9+jhe3U/23jSVpRlZK+TZwMGbfG1LKUGRzPZAfeX0T8KKU0i+l3Al8CfRP1twUCsWJ\nkZvhZtEdfS1Da/pkczPcKZ7Z6UcqA18/BJZHXnfEMLom5ZF9cQghSoASgM6dOydzfgpFQtRnEDRN\n0KN9Fn+ZNlBlFxyFlAS+hBAPACFg2bFeK6VcKKXsK6Xsm5eXd/Inp1AcBfUZNNA0QV6Wh4456eRl\neZSBbYJTvpIVQozHCIgNlUfaMuwBOkWdlh/Zp1AoFGc0p3QlK4QYDtwL3CilbIg69ApwqxDCI4To\nCnQHNpzKuSkUCkUySGYK1wvAYKCtEKIceAgjm8ADvCmEAFgvpZwipdwihFgBbMVwI/xYSqlyQRQK\nxRlP0oyslPK2BLufbub83wC/SdZ8FAqFIhWoii+FQqFIIsrIKhQKRRI56wVijqVUVqE4m1GqWanh\nrDeyCoVCqWalEuUuUCjOAZRqVupQRlahOAdQqlmpQxlZheIcQKlmpQ5lZBWKcwClmpU6VOBLoTgH\nUKpZqUMZWYXiHMFUzVKcWpS7QKFQKJKIMrIKhUKRRJSRVSgUiiSijKxCoVAkEWVkFQqFIokkzcgK\nIZ4RQlQIIT6N2tdGCPGmEGJ75HdOZL8QQjwhhPhSCLFZCNEnWfNSKBSKU0kyV7KLgeEx++4HVksp\nuwOrI9sA12G0nOmO0QV0XhLnpVAoFKeMpBlZKeXbwMGY3TcBSyKvlwA/iNr/rDRYD2QLIToka24K\nhUJxqjjVPtn2Usq9kdf7gPaR1x2B3VHnlUf2KRQKxRlNygJfkXbg8qgnxiCEKBFCbBRCbKysrEzC\nzBSK5lGfQcWxcKqN7H7TDRD5XRHZvwfoFHVefmRfHFLKhVLKvlLKvnl5eUmdrEKRCPUZVBwLp9rI\nvgLcGXl9J/By1P47IlkGRcChKLeCQqFQnLEkTSBGCPECMBhoK4QoBx4CHgFWCCEmAl8DoyOn/w34\nPvAl0ABMSNa8FAqF4lSSNCMrpbytiUNDE5wrgR8nay4KhUKRKlTFl0KhUCQRZWQVCoUiiSgjq1Ao\nFElEGVmFQqFIIsrIKhQKRRJRRlahUCiSiDKyCoVCkUSUkVUoFIokooysQqFQJBFlZBUKhSKJKCOr\nUCgUSUQZWYVCoUgiysgqFApFElFGVqFQKJKIMrIKhUKRRJSRVSgUiiSSEiMrhLhHCLFFCPGpEOIF\nIUSaEKKrEOIDIcSXQojlQgh3KuamUCgUJ5NTbmSFEB2Bu4G+UsrLAQdwKzALeExKeRFQDUw81XNT\nKE4mui6prPWzp7qBylo/un7MzZkVZwGpchc4Aa8QwgmkA3uBIcDKyPElwA9SNDeF4oTRdcm2/bXc\nPPddBs56i5vnvsu2/bXK0J6DnHIjK6XcA/wO+AbDuB4CyoAaKWUoclo50DHR9arnvSLVtOQzWFUf\nYNKzGymv9gFQXu1j0rMbqaoPNDmuWvmenaTCXZAD3AR0Bc4HMoDhLb1e9bxXpJqWfAYDobBlYE3K\nq30EQuGE56uV79lLKtwF3wV2SikrpZRB4M/AQCA74j4AyAf2pGBuCsVJwe10kJ/jte3Lz/HidjoS\nnn88K1/FmUEqjOw3QJEQIl0IITBahG8F3gJGRc65E3g5BXNTKE4KuRluFt3R1zK0+TleFt3Rl9yM\nxEkzx7ryVZw5OI9+yslFSvmBEGIlsAkIAR8BC4G/Ai8KIf43su/pUz03heJkoWmCHu2z+Mu0gQRC\nYdxOB7kZbjRNJDzfXPlGG9rmVr6KM4djMrJCiHQpZcOJ3lRK+RDwUMzuHUD/Ex1boThd0DRBXpan\nReeaK1/TZWCufB0a7KluOKqRVpy+tMjICiGuBP4EZAKdhRC9gMlSymnJnJxCca6gaYLueZmsmDyA\nYFjH5dAI6zo3PvWuzej2aJ+lDO0ZRkt9so8B3wOqAKSUnwDXJGtSCsW5hq5LtlfWMXrB+wyavZbR\nC96nvNpHXqaxElaBsDOXFge+pJS7Y3Ypj7xCcZJIlF0wY+Vmpgy+0DpHBcLOTFrqk90dcRlIIYQL\n+CnwWfKmpVCcWyTKLsjL9HBxu0yWlxRR4wuyqmz3MQXCdF1SVR9oUeBNkTxaamSnAI9jVGHtAd4A\nfpysSSkU5xqx2QW9O2Vz7/AejHtmg+WTnV9ciKbJFgXCzOKG2ECa8umeelpkZKWUB4CxSZ6LQnFW\n09zKMjvNSemEfpQf9JHudpCb6WF86Qab+2DK0jIevulyJiz+0DKa7Vt58AXix2uquOEv0wa2OONB\ncXJoaXbBEwl2HwI2SilV0YBCcRR0XbKrqp6vqxpIdztoCIS5oE06mWlOfMEwaU6Nw74gD778KeXV\nPl7+8cCExQnpbof1etKzG21G99kf9iczzUkwpAOGuyF6DOXTTQ0tDXylAVcA2yM/PTFKXycKIf6Q\npLkpFGcNNb4A+w838uDLnzJm4XoefPlT9tc28nVVA4NmryWoS3764seWUUx3Jy7LrfEFre1oo5uX\n6WH/4Ub+39z3GDjrLcYsXM+9w3vQu1O27XpV3HDqaamR7QlcK6V8Ukr5JIb+wCXAzcCwZE1OoTiT\nCYV0vq3x8XVVPb5AmBkrN8dlD7TNNMpsw7q0rTobg2FmjexpK8udPaon89d+ZZ0TbXSnDL4w4fh3\nD+1undtcWa8iebQ08JWDUYhwKLKdAbSRUoaFEP6kzEyhOIMJhXR2Haxnd5SPNS/Tw4MjCsj2uqjx\nBVm9dT9Oh8bykiI0IWyBr28PNbJpVxWl4/vh0AQSCIXDVNYZ/93yc7zMKy5E13WWlxTRNsuT0L1w\nQW46y0uKaAiEyU53su9wo1Xs0C7Tg9OpOlAlm5Ya2UeBj4UQawGBUYjwWyFEBvDPJM1NoThjOdgQ\noN4fsrbdTsHMGws4WG+sPN0OjR9d05WHX9vCG1sreGnyAP54e28O1gdJdzvwuh3ccEU+ExZ/aGUH\nLBhXyPKSIvwhHV1CmksgpSAY1nE7NWaOuIQOORmWEV9VthunwzCi2elODtQGmLpsky1boUO2h8aA\nrlK8koiQsmV6lUKI84FxGPmxmUC5lPLtJM7tqPTt21du3Lix2XO63P/XpNx71yPXJ2VcxTGTUqvQ\n1Gdw3yEfh3wBHJoDTYDHqREIhwnrAk2ALiHToxHSIaRLnJpAl5KvKupJdzto18rDuKc32Fan+Tle\nnpvYn4rDfjxOjcw0J+NLjxjhxRP6UdcYwh/SaQiEyW/jZeWH37DgnV2Uju9nBdWix4vNVlApXsdF\ns3+wlmYX/AijACEf+BgoAt7HaBmjUChicGgCh6ax+6CRTeBxamSkOZkQScsaVtCOu4dezJSlZdb2\nL6+/lE5t0tEEuDQtYXaArsOYhestH615Tl6mh3p/iOqGoBUMa/CHuL2oC0MuPY92WZ6E48VmK6gU\nr5NPSx0yPwX6AV9LKa8FegM1SZuVQnGGIyVU1vqtbIKfvPARB2r9lhbBHQO6WAYW4MfXXsRhX4jx\npRsYMmcdty5KnB1gLjJjy27vHd6DhkDYlr3QEAjj0AyjPO6ZDQnHi81WUCleJ5+W+mQbpZSNQgiE\nEB4p5edCiB5JnZlCcQYTCOuUvrvTFujatvcQj9/Wm1DEhzqmMJ+LO7Qi2+siN9PDrQvXx2UHRD/O\nzx7Vk32HG617RJfdnp/t5bZF8de/MKmo2fEefX2bNd6wgnYAfF1VrwJjJ5GWGtlyIUQ28H/Am0KI\nauDr471pZKw/AZcDEvghsA1YDnQBdgGjpZTVx3sPhSKVaALuGtKdA3WGalZ+tpeO2V5ujxhCM/D0\n6sflLHhnF2t/MTgu+2D+2q/o3OZIdsD52WlU1gZYXlJEMKyTlea0ym5XThmQMLtAl9LSPvhi72Eu\nbp/JuhmDI+4MrGyFYQXtuGtId8YstM/vkvZZKTG0Z5PuQkvLam+OvJwphHgLaA28fgL3fRx4XUo5\nSgjhxmgL/ktgtZTyESHE/cD9wH0ncA+FImU4NQ09KqjcOt0Vt1KdsrSMZ3/YnwXv7MKhGY/8Zq6r\nudJM9zigDtJcGnWNIWobQ6S7HQTDxtimn7WqPpCws8LeQ43cGvHhzisu5H9eNbIZ8nO8lE7oZ+nX\nOjXBs+/ZV95PrP6CmTdezvnZ9qKIZHO26S4c81eUlHKdlPIVKeVxCVsKIVpjpIA9HRkvIKWswehg\nuyRy2hLgB8czvkJxOqBLafORxhYbgGEg3U4jT1aXUPruzrjHfX/Q8JGen+1N6HO9d7jhtZu/9ivm\n3NLLVrzw+K1XMOvvn1vjTV1axozvXcLykiJmj+pJTX3A0q8ds3A91/fqyKqy3YxZuJ6HX9vKxKu6\noQmsFuXBYNgqrvi2xkcoUr57sjnbmkqmwuHSFagESoUQHwkh/hTJt20vpdwbOWcf0D7RxS3pea9Q\nJJOWfAZDurRVYDk1YSuTNVW2bl24njEL1zP2Tx9w55VdbYGp8mofB+oCjFm4nh2V9dyz4pM4I9yh\n9ZEx01waD990OctLinj4pstxxKz6yqt9HPIFGbNwPY1BPW68acs2MbKwk7U9/aVP+GxvLQNnvcUD\nf9nM5xV2UfHP99cmxdCebU0lT3kjxcg9+wB3RZoqPo7hGrCQUkohRMIEXinlQozGi/Tt21c1pVec\nclryGYxduQoBs0b25L5VhuG9e2j3uDLY+1Zt5sERBUx+rgww/KStvS6WlxSRm+lO6LMVgshxD4++\n/hlvbK2w7pmf47WNl5/jtVaD6W5HwvGyvS7r+rxMD10iFWNtMtzM/sfnce6OFZMHNOlOOF6/6tnW\nVDIVRrYco5Dhg8j2Sgwju18I0UFKuVcI0QGoaHIEheI0x+3QGFbQjpGFncj2upASlkT5PJsymqa2\nwLCCdswYfoklfejQjIqxHz//kc1na9qs3Qcb+Pmwi7ljQBdcDs0q2y3o0Io10wehS3A6YO4aQ/tA\nlzKhD9j0IyfSs/3TnYXcd92lCIwvkUVv7yAUTrySPRG/alNNJc9U3YUWV3yd1JsK8Q7wIynlNiHE\nTAwtBICqqMBXGynlvc2Noyq+FJymFV9VdY0crA9QXt1IuttB51wvB+qCTI3kxr40eQAgrUf2/Bwv\nj43uRbtWaew71Mh5rdP4tsYXZwQffX0bH+02UtTzc7z87pZe3LpwvZUdEF02O6+4kMZA2PIP57fx\nkuVx0hAI43Zo3BqV8mWO99RtvfnB3PfiKsRGF+ZTPOACpkWPP7YPHVqn4Q8ZZbmtPQ4q6wNWBduz\n7+1kwTu7bOO3tNjhDMsuaHZiqUqCuwtYJoTYjCGh+FvgEeA/hRDbMVS+HknR3BSKEyasSw43hqxA\n1S3z19M208ULk4pYO2MwHXO8cT7Re1Z8QmWtnzEL16PH+HSb6vnVNtPN8pIi7rvuUp5cs912/tSl\nZdT5Q1ag7ECtn0BYN4JYum4VRkSPl5NhjHdBbrrNAE+6pptlYK3xl22izh9m4Ky3+NPbX7Ktsp4x\nC9fbAmmjC/Nt45t+VV2XVNb6raCartsXe2Y79Y456eRleU5nA3tUUuEuQEr5MdA3waGhp3ouCkUy\nCOmSf++u5vlJRejSWNlVNwQpedZYyf7z54MSZhuc1zqNNdMH4XIkLquN9pnm53jZfdBnFRfMuaUX\nEwZ2RRPCcj9El83OWLmZ5yb2t8py/3h7b2obQ5Z7YVXZbpyaoH3rNFyaYPLVXayVqEMTCYNR5hpu\nVN/OlpiNeWzask2Uju/HirJya75up+OsS9E6GikxsgrF2Y7HqVHYta2t+CBaa8AhSNjT69aF65t1\nDzQEwtbr6IotMxsgtqIrOle3vNpHWD+SX9sQCHP/n/9t3W/u2D74gmG++/u3LXcDwIJ3dqFLEgaj\nnBGj2JQRNjMczOKGHK/rnGuNo2rmFIok0BjULf8rGIak9N2dPHV7b9bNGIzHqfHH23tbaV2Jsg1i\nRbefvK03l3bIYt2MwbxYUmQzwOY1sSvXcNRjeH6Ol32HjLLcRCLf05ZtwrTJprvhjiu7smb6IFp5\nncwb28eWhzt3bB8rz9fp0BJ2cjD1ch8cUcATq79gf20jvmDorErROhpqJatQJIHYFK7enbKZeFW3\nuLLVx0ZfgS4luZmJRbe75WWwbsZgNCEI6WFGzX+f8mofb/1iEP27ZPPoqJ44NEFYl6zc+E2c4Eua\nyzC6ZmDtt38zihOyva6E96uL0sDNy/SgR4Ruvq5qoFteOi9E3B9CCNZ/WUmrNMN9cbDOz7JJ32FH\nRKqxIRAmPyeNp1Zvt9wFABOv6kZDIGzLvEjU7vwMC3w1izKyCkUScGj2TgfTh13M0//aEVe2+tAN\nl1Fe7UMTiR/Hd1TWW4//88b24cpuuYbRkpIRMaLe84oLWfvZftv1HVqnsW7GYJyaoM4ftLQKDCNo\nv9+wgnZkepw2bYTbotwdj43uBQhuWfA+wwra8ZMh3Sl++gNbtsELG762ynbnFxfSKWp1a6p+rd66\nn58M6W7LVDBdCXD2ldWmJIXrZKFSuBScpilc39Y0UFHrpzrS6SA/x8uuqgarGCE/x8tTt/e2fLTn\ntU6j4nCjLaUr1ic7rKAdD464jG9rjOPPvreTPl1ybatB87iZsjX79c8tozdvbB8yPEfWVfX+kJXy\nNaygHXcNvdhycZhGNaRLK5C2qmy39aXQJsNtC3SZ85vxvUs4WB+wzefqR98y9HK/X4BE4tA0y1dt\nkp/jZcXkAcjIKnnmK5/GFVacxj7bZj+DysieApRBTiqnpZGtONzI7uoGqwPtv+69lufe38movp0j\nCliCg/UB7nrhSHHB4gn98DgdhCPZCE/888ijdu9O2fziez1sRnru2D48tWa7ZUSfur03bTM9BCLt\naXIynDQGdCtvtc4fYuKSI6vDx2+9grwsD3trGsnN9DC+NL4Tw+IJ/amq89MQCJOT4SI3w83Vj65l\n5ZQBjJr/vnVuovnNGtmTrm3TkUBNfZDJEQO+csoAfvPXz5gy+EJbIcYD11/KqPnvk5/j5Q9jjLmF\ndWkVPvz0u93pmJOe9H/T4+C0zJNVKM5qwjEtvt1OwfW9OjJh8YcMmbOOvYcaLQMLhv+zstbPbYvW\nM3j2Wm5duJ6b+3S0tAymDL7QMmAQrzWQl+nBFwhz68L1DJmzjkdf/4xva/y2vNWD9QErN7a82sdP\nX/yYisPGOVV1/oQ+2pqGgJVn6wuEcUV6hpmqXyaJ5nffqs2Edfh0z2HLwAKW4tjDr221xGjuHd6D\nyNCUV/v42fKP2VFZz5A565iw+EOKB1xAhufMLKtVRlahSAKBsJHsbzY/DIYlT0UVC7TNdNuM2tFa\neudmuBMaQTNvNvb6kYWd4rIbEhUz5GV5WDN9EB2yvQmzA0ytA/P6UCRbYf7ar3jq9t6Uju/H8pIi\nLm6fmbC4QZeSHudlsexH32HllAFGZ93MtITvtbXXbbs2OlNi2rJNNASSo/qVbFTgS6FIAmlOjV+N\nuNRazZrdZu+/7lIA3E7NluzfVLS/W14Ga6YPwuPUEgbGzDzU2OubGi+2mEGXkiFz1jH56i7MKy60\n+WTnje1DKNJy3Hykj67MCoZ0q/S2qbzeHZX1PLF6OzNvLLC0cP0hPXFhQxSxrXGu7JaLlNLq2pCX\n4aamMXRGZB8oI6tQJAEJNndBXqaHw74gk5+LMmJRyf6Jov3R2QUvTR7A7FE947QM8nO8lgpX9PU1\nvmDC8XIzPVanhY45aVYebZ8uuTy5+gsr+yEY1tGl5K4XPrbdz0wJu3to94TSi9HFEHPH9mHp+1/b\n+o+VV/soHd8v4dxckZxaM/1r0ds7AUM3YdyAC+LS38yuEqd79oEysgpFEohdrSVyB0xdWsYLk4oY\ncul5aEKweEI/dkdUt4x2Mx6r3UzbTDfz1n5lSwHbuPMgnduk0751Gg4heH7Sd7h9kZFStapsd/zK\ntLjQkkM0swc6tTECSdleF5W1R0Sx27dKi5M2nLFyMysmF7Fm+qAmK7w6tfFaK9+n1mxnZGEnzmuV\nZql5ATyxejsLivtQURs4klPbxsvDr22xZULcM6w7Iwvz6ZjjbbarRHm1j//btJs7ruxKSJenXX8y\nZWQViiQQmyfb1OO7LiV5WR6cDkFtRFAm+nH92fd3WYYn+nHcVMWKXt2VTujHS5MHEIi0k9l/qIEX\nS4oIR7ILzNYz5r3vWfEJL5YYRtPrdvDfNxTYsh2i3RtmhN9sexP7/sBYjX5VWW/p1wJMHXwROnZ3\nQPd2megS23t9bHQvy8iXVxviMy+WFFnXXNktl6EF7W3ZCKarZHRhPtf36nja9CeLJfUzUCjOQrwu\njblRZaimOyAa0x0wZM46vq1ptFwJcMTQRHcqiA6ElQy60KaKlZfp4UCtn1ui2sm4XC5+/eoWBs1e\ny95Djba8U3NMf1BnyJx1fF3VEJftcNgX5I5nNtgi/P5QmCFz1vHrV7cwr7gwrsx29VZ7MURWpCIs\n+r1PuqablZ9rzuOeFZ/EBeX2HWpkzML1/PrVLRQPuCAuG8EdMaCJFMKmLC2jIlJ4kWqUkVUokoA/\nqLNpVxXPTypi3YzBXNIhiwUxRumx0b14YvV2ID7bAOIDVWYgbHlJEc6Yx/Wm3BGmkY5NuTLnsPdQ\ny7Mdpi3bhNdlPPy+sbWCJ1d/Ya2ES8f346+f7OG6/+hgjf2nOwvxujScmuCFSUVMvroL0LSYTGxQ\nzsxsGFnYKc6Izli5GalL1kwfhNupJRwvGNablFI8lSh3gUKRBJwOwZXd8/iqoo50twMJnJ+dxsM3\nXW75IbPTXUwfdjEuh4aniZYrbSL6rmYFlZlCpbXQHXFxu0yWlxThdgpKx/fFFBFvCITplpdu+Xw9\nTgfDCtpZq93m3Btrpg8irEte//deQmFDF7YhEObmwnwyPS7WTB9Emkujqi7AmCVHHuHnjS1kVN9O\nlphM7HuNVhibNbInv/vHtmbnEtQlWqSwY+aIS5j52ue28YJhyaDZa1MeGEuZkRVCOICNwB4p5Qgh\nRFfgRSAXKAPGHW9HXIUi1UgJVXWBOL9jmst4eHQ5hE1qcFhBuzgjGFcWW1zIig1fs+CdXXEpV01l\nJ4QljInqnGDOx9z+2fKPo4xgH8BYpTY1XjAs+e7v11nz+e3fttq0Cn4d8fv+8+eD4lwCU5eVUTq+\nH2u27k0YlHNp2PqJmalgTWVK2HQdigstQ2u6Lhau+8q6dyqlFFPpLvgp8FnU9izgMSnlRUA1MDEl\ns1IoTgLBBJ0N7lnxCY1BnTEL13P/n/9NQyBsJfBX1gaoaQjaWn7X1AdswaAnV3/BuCu7snbGYMYO\n6EowGOTFEsMdcWmHLP4w5gqbO2LOLb0IhY3V4cjCTjajF7tt+oD/+4bLWDN9EJednxXnc51XXMjf\nN3975Pwod0R5tY8nVn/Bf33/UpaXFOFyJHYJuJ0a1/Rob6WLmTKIT67+wurMe+/Kzdx5ZVfr3qvK\ndsfJLEa7Wsy5/OdlHXh7xmCWlxSx7vMKhha0Z3lJEQvGFXJlt1wCoXBK3AcpWckKIfKB64HfAD8X\nQghgCHB75JQlwExgXirmp1CcKHqM1CEk1ns1u8lOGXxhwnY05vHenbK588quNlHvecWF/HPLXma+\n9jkvTR6A2yls7og0l4bXbfwXb2mxgj+oM/T36ygd348XNnxtSxl7cvUXllE1zzf9qOb8xj29odlc\nWFPk+42tFXGBuAeuL7BcI29v28+LJUUEQjoS0IS0vTdXTNZAebXP0mhwOTSKLsy1/p6mYlh09sGp\ndB+kyl3wB+BeICuynQvUSClNMctyoGOiC4UQJUAJQOfOnZM8TYUinpZ8Bp1NpDjF6r22izy+Hq1C\nK5E2wNSlZTw/qYiZr32OPxTmnhX/jrvfsh99B4h/5G7qEdy0OeluR0JDOPGqbgnfT+z8nli9Pa54\nYu7YPjQEQpRXN7bo8d+hwZA566z0tSdWb7dVk8W2O3dqgoGz3oprApkocHYq3Qen3MgKIUYAFVLK\nMiHE4GO9viU97xWKZNKiz6CAObf0YvpL9m60pmg22FOcmvKBmsGgprQLTBU9lyNxhF1i+DklUDq+\nLxMWb7SKFZ4Z35c9UT7gNhku9h02Oic0ZYSjg1OmClii+X20u4ZHX9/GC5MMbVoJNAbCCCFIc2ks\nvKOQ/Yf81r3bZbn51f9tseY9dWkZyyOZC2Fd8u72Ch4d1dOSUYxun24aYaPOzviCaMmq/VR1YkjF\nSnYgcKMQ4vtAGtAKeBzIFkI4I6vZfGBPCuamUJwUNCHITneyeEJ/NAG6BKcD8rKOGIZZI3vidWlW\n9H/e2D72lt5R2gEdWqc1q13QlFHcGbU6XFBcaPTxCoTxuh0EQtIWmJtfXMgFuR6rouvxW6+waS+U\nTuiH1+VgzfRBOB0an3xTxROGqnMAACAASURBVIzvXcL9112aMGOgss7PlxV1lnbBwYi2bobHia4T\nV3jRvV2mtVItr/ax91Ajo+a/b2ndRguUP3lbbzq0TmNtpGvE+i8r6dDaawXOojMlmvrbxLockkVK\n9WQjK9lfRLILXgJWSSlfFELMBzZLKec2d73Sk1VwuurJHvLx1YH6OK2Bbm0z2FXVYKVk3TGgC8VP\nbwBg8tVdGHdlV6tCKxAOs+uA4cftnJvOrpjx/hjRj/WHdIQwqrLGl35ou1+0YMvkq7tYpaexFWBg\nGJ5o7YHSCf1IdxmCLk6H4LAvxJSYjIAnV3/BG1srEop+zxvbh3ZZHiSw+2CD5SONfZw37/38pCL2\n1visv839111KZa3fyjZobq7zigt5LUrLIFpr1/TJRndimD2qJz3Oy6JNxklxFzT7GTyd8mTvA14U\nQvwv8BHwdIrno1AcN4EE2QUzVm5meaRU1O3Q+NWIAr6tabREUc7P9hAM61Qc9pOT7kLThGWM1kwf\nxKOvb7MCUbqUVqZC9ErUXKm2a+Xh58s/sQxsotLTWSN7UlkbsK0eowNzE0o/5MWSIipr/bRr5bEM\nrHl86tIyHhxRYPPdLi8pIqQb3Q3WbN3L4EvOw+UQtqBednrix/fq+oDVrtx8H+Z27FzzMj10yU23\nAmVPrv6CGd+7xNIymLZsE8tLivjV9QVoEQH06CDeo69v46nbe0NGMj8FBik1slLKtcDayOsdQP9U\nzkehOFnENlKEI4/ApuGYX1zIM//aYVsJTlyywTKCC4r78Mj/+w9cDg23UyMvy20FehaMK+Th17ba\njJ4pmnLjU++yYFyh1c8LjNLT6HYx5dWGqHZs8CgY1m3zNVW6BEev0qqsDRCIfEk0BMIM7J5HulvD\nFzS0dU0jF6sYZt47Vj/2uR/2TzhXs326KTpjGmEzB9m85kBdgJv++C6l4/vx3o4qW0PH/ByvrXFj\nLCezkaMqq1UokoDLIRKWsUaLYE9ZWkbJNUa9/h0DuthEtvMyPRxuDHH/n//NmIXruXXhen4ypDvD\nCtoBTQfCTB/t/LVfMWtkT2sOTZWyxgaPHFGGJD/Hi0sTjFm4HolM+H7M7ALL8D29wcrzPVAXMHzR\nmrB1Qvjf17bYdB1MI9kYPBKIKq/2EY5yZUbPNVH79PtWbUZin7tptM1Mh+j7RTdujMVs5Hjz3HcZ\nOOstbp77Ltv21x53bu3p5C5QKM4aHCI+cDTnll7oUtpEsNtGihHOa51mM4JTBl9I6bs7bY+4T63Z\nzozvXcLEq7pxXhOBMKcmbBH5FyYV8W2Nr0nR7/Nap1nzefT1bTxw/aXWsdmjeuLUBMtLitCE4LHR\nvWyNHueN7UNjULf0bB99/TPbfEvf3cl/33AZgZBuM4qma6F0fD8rW2DJezuZ8b1LbCXE+w412uba\n2uuK3MvNld1ymXRNN6sd+qK3d1DXGLTOjTbaZqbDcz/sT0Wt3+oU/JubeyZM4aqqD1idcuHEU76U\nkVUokkCaS9Da67IS6DvleKms8/Pj549ICRoi2JqlHRBtBM9vncadV3aNa0wYCBt+2LfvHcyskT3j\njguBpSUw8OJ2SMwUL8HcsX1swR/D7xlizML1gN2QmUZ3zuhelnujdHxffndLLwRGspTX7bCyIf56\n91UJ5+sQRlQodhX9xtYKSq650Bp7XnGhFdwytz1OYfmrO7VJQxOCvCwP6W4H4wZcYMs2mDu2D22z\nPLZihlF9O9uM9hcVdTYZxoduSJzCFQiFbe4N8wvxeFO+lJFVKJJAY1Ba/kyTP771ZdxK77++f6ml\nLRBdz+91O+PKXu9btZkXJhUZwaWwZMl79pXukveM8Uwa/CGyPGkABMOSv36yh9Lx/azV38qN31B0\nYR5wZOV678rNtoR/8x2UV/uYsHij0a8skp0QLaTtdmgJGykuLynii4q6hKvo7HS3tQo+3NDIQzdc\nxgPXF+DUBF9VHCYsNSYs/tBoNT78Er6uaiDd7SA308OTUf3STB/uC5OKrL/ljOGXUB4RQHc7NGYM\nv4SPdh203d8oNI3H63Zw7/AecZkhXvfxNXJURlahSAJhKa322wBv/vyahCs9f+SRNvYRWoj41Z9R\nOqofEXxJkDL1//3tM5vIdzSj+nVmQlSK1/ziQtpmuiONHnXS3Q4rWGauDs1HcPP+Zu7qyikDbPOr\n84cSzjesS3q0z+SFSUXsO9SILiUNgTDtW3uY8ZKR/bDhl9fiC7psmQ/zigtpn2X4TCcM7MqBWr8t\nrzZRZoSMuGIuyE1n54H6uP5jV/doZ703c5WdiFATmSF/nnZlC//17ajAl0KRBIJhe3aBJkTClZ4r\nKsL9xtYKDkbSmL6MrP6iyc850gfrVyMu47WPyy2RlRdLingykhdqjm92lx2zcD1jFq6nMajz2Ogr\nWF5SxMM3XY5AEoq4H4qf3sDMV7by4qQj+rBL3/+axqBuu78ZuIvVp62o9Sec71eV9Qz+3TpuW7Se\nkK7zyN8/58GXP0XXYUiPvMjfirjOulOXlmHGwc5rFd/d9r5V9s67ZmHGmIXrmzSSYV1agjRL3tuJ\naCJbINhEo8dg6Pi65aqVrEKRBEyN0yEFHdClTOiXLK/22bLYhxW0s/RjdSnjAk1mIGrMwvW8+pOB\n3Pqdzjg1hxWF/4/zWzPje5fYgkGmYYkWeIlO2Xr2h0eyJivr/ATDRqcE83i0CPecW3rxyN+NsmCz\nJXh1pIortmw3uhjCfK82QZyI7sKcf24n1ES6WygydyGOnhkxa2RPS3ehqfS5cOQLJ/pvmQh3E9q+\nzaV8NYcysgpFEsj0aBR2bcvti9ZbVU6J/uOabsFEpaOlE/rx1G298Yd0GgJhzmvtIRzpBuBxamga\n1Pt1w7hocO2l7eOCQWYak9uhMe3ai3BE+SHLq31WXqyprXCgLmBtzy8uxBcIW8Gn6DxUiG8JPr+4\nkFVTBlAfCONyaDwZJehi3s/Mq83L9KAJrC4PTWVKjFm4nhdLihIez4kSNF/y3k4euuEyAA41UUbr\njjwFmEG9x2+7Al8gPg82N8PNojv6WhkG+TmGapdp1I+VlJbVniiqrFbBaVpWu6e6wfIxwpE80thg\nSpe2GfgiRum2RevjDMPiCf2pqvOT6XGiQ5zQtVnWmqhUdVhBO/77hsvYU+2zBGCy090Mmr3WGn95\nSRHlkeP5bby0TnNS5zfm8/E3VfTqnIsuJVqkguuCtllMWPxhk/e7d/ilVNX5rfvNfGUrH+2uoXen\nbO4e2p1ObbzsO9RIXpabb2v81io4N9Nt8xfPKy5kX00Dk57bRO9O2fxqxKW2dLj5xYU8EXnv5hdK\nx+w0DvlCeN0aVXVBWwnw/OJC2mW56f/bNdZ7jy7LjZU+PMZihDOmrFahOGuIfQS2cjUn9rcqotpm\nunno5U95Y2sFK6cMSJg2ZCpLZXld1qoY4staY5WnEunPPja6Fx6nZivjFUBelrFCXvnhN4y7siuV\ntX665qXTJa+VdU8rGNXKbeWqJrrf+NINti+RX37/Un77t89sXzCmlkBs14hVUwbQGDI67W799hCT\nnttkje92aDY9WU2Dh2+6nAeu19GEQKITiLTCadfKg8uB7fywriMltvdutt6p8QV57M1ttrxZTRMn\nTQZRGVmFIgk4NcGwgnaMLOxkGc1Nu6pwOzTysjx4nBpvbtnLyMJOTLyqG3lZHv73B5dREemE4HZo\nzLyxgMpaP7ct+oA10wc1W9YaqzSVSH/2nhWfsHiC4YPN9DgJhGF0jPaB22E8ov/rvmsTBqNeLDHS\npBaMKzzq/Was3MyLk4r4/eheVgksJNZ3vWfFJ7wYyUBok+HmpagS2OnDLrals8GRVbjZw8tY1R/J\nrDA7J0Sno5kpXmYmRnS79Vkje6LrxxfYOhoqu0ChSALpbo27hl5sa2M94op8/ufVLQyZs47/eXUL\nfbrkWscrDvs53BiytZ+J9oOG9ebLWuev/cpWOtpU2W1Ng5G9UOcPxRnRKUvLMAPozQWPjuV+YSmp\nqPXbjjWl7xqWRmBqwuIPbSXE57X2NjsX8wsguhXOPSs+Yfqwi5s+P6bd+n2rNhNOkudUrWQViiTQ\nENATrgTNx/vY1VzbTLdttWeuBJ+baKw8V278Jq75YGxgqmOOlxdLigjrEkcTwaTo0tSEEf2wUSbb\n1PVaJHBWWecnL8vDcxP7IyVNlu26NEG7LLsgTNNdGYQ1D1NFa+JV3ZocW4uU/JqulWixGkOlK8NW\nYiyRTZ4fbYRPNsrIKhRJQJeJV4Lmf+x2WR7bcV0mTvFyCEOLQJfQyuuwUq5M/djY4M4TUfqusSLg\nc8f2sUpXm8p20CIR/ZkjLknYUTbDc8Sn28rrJBiShHSJSxPMLy6Mm49DEzgd9mNmY8Touc25pZeV\nbVDjC7J6636r2qypdLa9NY22lCw9EsQ3g4y3RvzJZuaG2X8sP8fL47dewfnZXssIr9z4DU3HtU4M\nZWQViiSgicQrQTMPNlbur6mVo+RIn6vHRveiXas09h1qpEO2l3FP2wNhUxLou75YUsSeiGGJFulO\n1INr9qieuKMEZvbW1FsrYzO4ZBYntMlwsf+Q32YoS8f3ZenE/ugSNGF07B05/33L0D37w/4c8gWp\naQjidgpLxjEY1klzabaKr7lj+1jtxc10NlM3oSEQplWak8ONIcsol767k2mDLwLiVbpGFnayuuOa\n/vEF677itv4X2ES/M9OOLw/2qJ+FpIzaDEKITkKIt4QQW4UQW4QQP43sbyOEeFMIsT3yO+dUz02h\nOFkIgU1qMFoEZczC9dQ2Bm3HnQ7i5PhmjzpS+mn6GQGjqimcuCop+hH4ja0V6Lq0sgeiOwtE9+Ay\nK8DS3Q721foZMmcdExZ/SE5GGr5AiEGz13L1o29x+6INbNtXx5iF68nwuOK0FSYs3khIN74UdImV\nkmXO5Y5nNlBR62fC4g+ZuKSMYNjwwQbD0hLOMceaFuMznVBqGMO8LA/d22ficAhmrNxs+bunXXsR\neVke1s4YTPf2mVzZLdd6r6bYTrR//M4ru9I2022NP3VpGfX+5AS+UrGSDQHTpZSbhBBZQJkQ4k1g\nPLBaSvmIEOJ+4H6MbgkKxRmHLrEJuJyf7eXh17bYyl5Xle22jofC2DofmAnzvxvdyxoz1qgmWvlG\nd8M1H/+HzF7LO/deG3d+ZZ0fIY6kcC16ewe3faezda+pEdEVk+huBB6nRl6m3eVRXu3D5RCWT7e5\nL4G8TA8XtctkzfRBuByJx4r1me6L6CaYX0DmNXmZHquLguXaGNuHsUWdaQzqtE53xwnK3LdqM6Xj\n+9nGjxYsP5mc8pWslHKvlHJT5HUt8BlG+++bgCWR05YAPzjVc1MoThZOTTBh4JHVkz+k21aS89d+\nZVtd7TvcSGWdn8nPlTFm4XomP1dmGMGoMaODQ3X+UNzKd+7YPqwq221tzx7VE1fE0XigrjHhSnlv\nTaO1cr25T0faRFU1lVf74vyc454xRLlvW7See4f3oHenbNv8AiFDC8F0l0RjfgmYY922aD1D5qxr\ncqzYL4xowfMZK49oF0wZfGGcVsHUZZvI8BiiM7cvWs+dV3a1jV9e7aPOH7KN31SZ7YmS0hQuIUQX\noDfwAdBeSrk3cmgf0L6Ja0qEEBuFEBsrKytPyTwVimha8hkUGK2pH77pcpaXFMV1Svhodw1L3ttJ\n6fh+LC8pIj87jT+MucJmBOfc0gtf8EgL7sdG98LtEKydMZg26W7+smmPTSDG7RTc1v8C6/Hf63YQ\nihjJX7/6GZkepzUf0z3w2799BhwxXNGYoivLS4qYfUsvSt/dGZf9cPfQ7ta5c8f2YdHbOwA4WO+P\n634we1RP5q/9KmFng9ix5sV8Ycwa2TNSnIF1jbnSbSolTItytSQSlKlpOCLyPXdsHzI8yfHJpizw\nJYTIBFYBP5NSHo7WdpRSSiFEwnyKFvW8VyiSSEs+g2Ep8bg0OrVJRxOQleaIi9bfNfRiVm78hgXv\n7KJ0fD9e2PC1zV3w9L928OCIy1gzfRAAHpdg695aq4ppbFFnq2z1zXuu4fdvGAIw6TgIhHXmvvWl\npS/70e4anlyznYduuAx/SMft1Ljr+Y9s2gKGnsARoexu7TI4UGtIH+4+2MC0ay+KkxfslpfBuhmD\ncWqCN7fstfpozXxlK78f05MXJhliN05N4NQEf7j1CuvaaMqrfXRuk27dG2DmjZcx8apuVrfa6Lnm\n53it8xoC4YSuk+iUrPJqu6DM/OJC8jLdrIu0FPe4BIGwZE91wwn39IolJUZWCOHCMLDLpJR/juze\nL4ToIKXcK4ToAFQ0PYJCcXrjEIJaX4h7VhhG9Z17r42LcJsdVodceh5pLo27hnS3RevnFRdaftxE\npahm2eotC95n5cZvEurLRgvATBjYlbCUDJmzjrd+McjWaDH6ET76+rlrv7Tp0xrnfGCNuaOy3orQ\nzx3bh2EF7XhjawV5WW7qGsNMXRbfovzuod0TGsUvK+tsCmHLI9Vl5ty27q1NmCPsdTvi0seiV9Xm\neB1ap1npcGE9TCCsM2j2WoYVtOPuoRfbro/VMjgRTrmRFcaS9WngMynl76MOvQLcCTwS+f3yqZ5b\nsjgWkRolJnN2oEtsbbBDYd2WWmUy8apuVplqdCDMXL2Z5ycqRZ2x8kinhBpfkLKdB3h+UhGhsG4F\nsqYNuchaHXrdDg5FHpHnvfWVLVc10SP81GWbrJSw2OKIaKNpnj9t2SYWT+jPxKu6kZvpsXQMouf7\n4IiChOljs0b25Hf/2Gb9XaKLAyrrDCEZU8zG7CcW/becfHUXlpcUWav0On+Q93ZUWXONbc3TMSeN\ngxEf78jCTnHtzk+kp1csqVjJDgTGAf8WQnwc2fdLDOO6QggxEfgaGJ2CuSkUJ4VATIpVKFIW21Q2\nQLbXZTPCy0uKbEakKb+jPxS2enQBXHp+tq1n110RP6fpPjDToszH+uUlRYSiyk1jx4+N8AsMd8L5\n2V7ufuGjOClDt0NwXuu0ZseLbWzYlDsguqJr5itbefzWK8jL8uDQRNyX1YJ3dnF7UReGzFkX94UV\nLYUYnUkxsjC/2b/t8fb0iiUV2QX/klIKKWVPKeUVkZ+/SSmrpJRDpZTdpZTflVIePPpoCsXpiduh\n2QJdi97eERcImldcaAV3TL+iiVl62tS2OUZsR1fTT2muNPcdarRyQycM7GoLHr23owp/yHhk/nxf\nbbPaCNb9Dhvj7anx2dwN5nFNEwyavZZguHmthco6P19UGDm3967czISBXeOCZJrAlmnhcmgMmbPO\n+sKKHdtUbV1VtjtON+InQ7pT2xhkyJx1/Odjb/PejiprLk39bY9XpDsWpSd7mqHcBcfMaakn29gY\n4quD9Ux+7oif7/lJ30EgLH3WdI9GY0AnpEu8LgcVtX7rsTW2h1einl6xmqqmn9Lso9WpjZdQWOeQ\nL4TE0EcYH9Pj69WPy1nwzq7EPcOi9Grzc7wsGFdIgz9szd/rdsSV0aa5NKrqAgn1b033QmWdP27s\n0gn9qKoLWBVd+W28rPzQCAqa966q9XFHaRmTr+7CiCvy4+baoZWH+kAYhxB4PRrV9SE0Ybhu3E7B\n/7621fa3ii5BPkGfbLMnKSN7mqGM7DFzWhpZMAxtlS9AKNLdNdfrPme3XQ4Nh8DSi03GvWqDYUtk\nu7XHQWX9keN5GW4O+Y8cz/G6qPYFm9w+xuwCJdqtUKSCtDQnHdPs/8XO9e1kjp0We9xt386L3Y4J\nap0ske5YlJ6sQqFQJJEz2l0ghKjEyEQ4E2gLHEj1JE4yp8N7OiClHJ6qmzfxGTwd/i7NcTrP73Se\nGySeX7OfwTPayJ5JCCE2Sin7pnoeJ5Oz8T2dDE73v8vpPL/TeW5wfPNT7gKFQqFIIsrIKhQKRRJR\nRvbUsTDVE0gCZ+N7Ohmc7n+X03l+p/Pc4Djmp3yyCoVCkUTUSlahUCiSiDKyCoVCkUSUkVUoFIok\nooysQqFQJBFlZBUKhSKJKCOrUCgUSUQZWYVCoUgiysgqFApFElFGVqFQKJKIMrIKhUKRRJSRVSgU\niiSijKxCoVAkEWVkFQqFIokoI6tQKBRJ5JQbWSFEmhBigxDiEyHEFiHE/0T2dxVCfCCE+FIIsVwI\n4T7Vc1MoFIqTTSpWsn5giJSyF3AFMFwIUQTMAh6TUl4EVAMTjzbQ8OHDJaB+zu2flKI+g+qHo3DK\njaw0qItsuiI/EhgCrIzsXwL84GhjHThwOje1VJwLqM+g4mikxCcrhHAIIT4GKoA3ga+AGillKHJK\nOdCxiWtLhBAbhRAbKysrT82EFYoo1GdQcSykxMhKKcNSyiuAfKA/cMkxXLtQStlXStk3Ly8vaXNU\nKJpCfQYVx4IzlTeXUtYIId4CBgDZQghnZDWbD+xJ1bx0XVJVHyAQCiOEwCFA0zRyM9xomkjVtBQK\nxRlIKrIL8oQQ2ZHXXuA/gc+At4BRkdPuBF4+1XMDw8Bu21/LzXPfZeCstxi94H2+rKzngb9sZtv+\nWnT9qH5uhUKhsEiFu6AD8JYQYjPwIfCmlPI14D7g50KIL4Fc4OkUzI2q+gCTnt1IebUPgPJqH/et\n2szIwk5MenYjVfWBVExLoVCcoZxyd4GUcjPQO8H+HRj+2ZQSCIUtA2tSXu0j2+uivNpHIBRO0cwU\nZypd7v9ri8/d9cj1SZyJIhWctRVfui6prPWzp7qBylp/ix/z3U4H+Tle2778HC81viD5OV7cTkcy\npqtQKM5SzkojG+tXvXnuuy32p+ZmuFl0R1/L0ObneJk1sierynaz6I6+5GaoQjSFQtFyUppdkCwS\n+VUnPbuRv0wbSF6Wp9lrNU3Qo30Wf5k20JZd8Jube6rsAoVCccyclUa2Kb9qS/2pmiaOaowVCoWi\nJZyV7oKm/KrKn6pQKE41Z+VK1vSrmi6D/Bwvi8b1xe2EPdUNhHSJUxN4nBq+YBiHpqmCA4VCkRTO\nSiML4HFqPHzT5aS7HTQEwmRnOPmmysfUZZsswzt3bB+Wvv817+2oYtbInix5byf3/GcPerTPUoZW\noVCcFM5Kd0FVfYA7ntnAhMUfMmbheiYs/pB6v24ZWDB8tNOWbWLSNd1UwYFCoUgaZ6WRTRT40gQJ\ng2GOyIpVFRwoFIpkcFa6C9xOB8MK2jGysBPd2qaTmeZCA0rH9yM73UWmx0ljMMyBugBet4MF4wpZ\nVbabNhluVk4ZgBCCUEjnsD+ILxAmLCVpLgdtvG6qfUF0XScsQUqJ2+lQflyFQtEkZ6WRzfG6uHvo\nxbz6cTld26Zz2BcgGIYHX/7U8sfOGtmTFzZ8Tck1F7KqbDd3Db2YlRu/YcE7uxhW0I57h19CZa2f\nGSs3U17tY1hBO+4eejFPrP6CO6/syn2rNh8Jqt3RV/lxFQpFQs5Kd0G1L8iUpWWM6tuZPdWNODQH\nU5aWJRR9+dnyjxlZ2ImpS8vo0yUXgJGFndh90GcZWHPflKVljCzsZBlYcyzlx1UoFE1xVq5kTZ+s\nQxOkux1N+mNNH2z0b8D6HX1N7LmxYyk/rkKhSMRZuZI1ixHCuqQhEEaXNCv6Ev0boMYXpCEQtl0T\ne27sWKrQQaFQJEJIeWpFqIUQnYBngfYYDRQXSikfF0LMBCYBZtOkX0op/9bcWH379pUbN26M26/r\nkl0H6nE6BR6HRkiXBMI6uw408MTq7VTW+a282LuHXkxOugsJpDk1AiGdkC5xaAIhQJdwKGJ8pYQn\nVn/BxKu6Mf2lTyyf7IJxhbTNcKtihtSQ0j92U5/BaJTU4VlPs5/BVLgLQsB0KeUmIUQWUCaEeDNy\n7DEp5e9O9AbhsI7TKWgMhtlTfcS3mp/jZX5xIa28Tg41BLmt/wW4nYLH/7mdGl+AnwzpzrSoYgXT\nEE8Y2JVHX99GXpab/7nxMuoDYVuhQyisM2XpJirr/CoIplAobKRCtHsvsDfyulYI8RlNdKY9Xirq\n/ARCkj3VjVZGARi+0ylLy3hwRAGTnysDjEf90vH92HGg3jKw5rn3rdrMgyMKmLFys3XNbf0vsI1p\njmEeb6nal0KhODc4LiMrhOjT3HEp5aYWjtMFo0vCB8BA4CdCiDuAjRir3eoE15QAJQCdO3dOOG5I\nl2gC0t2OJgNe0dsOTTQZ0IoNih1tTBUEO/tpyWdQoTA53pXsnMjvNKAv8AmGX6InhoEccLQBhBCZ\nwCrgZ1LKw0KIecDDGH7ahyP3+GHsdVLKhcBCMPxhicZ2aoJgWFrBqyu75TLpmm44NIEuod4ftM7N\nz/HicmjoUpKf441boZqBro7Zabx5zzU4NEHp+H48sXo7H+2usc5zaMI6DhAK6TidZ2Vc8ZynJZ9B\nhcLkuIyslPJaACHEn4E+Usp/R7YvB2Ye7XohhAvDwC6TUv45Mub+qOOLgNeOZ24AeRluaoMhJF6e\nvrMQf0gyYfGHlq913tg+jC7Mt4RhHn5tC5MHXcgz4/vyw8Ub43yyf7y9N3tqGm3BrtmjevLo69uo\nrPPz5G29yfA4bPeYX1zIJe2zlKFVKM5xTii7QAixRUp52dH2xRwXwBLgoJTyZ1H7O0T8tQgh7gG+\nI6W8tbn7NxXZraz14w+G+fVrW3hwxGXctmh93Ar1xUlFbNl7mPlrv+Kj3TXk53hZ9qPv4NAEtY0h\nstKcaAK27avD5RDc/+d/x43x3A/7s6uqgYIOWYyc/37c8RWTB3B+tj3dS3HSOauyC44FlYlw2tDs\nZ/BEl1mbhRB/EkIMjvwsAjYf5ZqBwDhgiBDi48jP94FHhRD/jrQKvxa453gnFQiFCUnJG1srCIb1\nxMUDYZ3Jz5VZj/zl1T72HWokENK57vF3uGrWW+w+6GPC4g9xObSEY1TU+pmw+EMaQ4nvEQrrx/sW\nFArFWcKJZhdMAKYCP41svw3Ma+4CKeW/SGz5m82JPRbcTgd6MGwVJCTytcb2VMzP8dIQCBOOOmD6\ndE2/bFP+WqcmEh53oncBmwAAIABJREFUOpSrQKE41znhYgQhhBfoLKXcdnKm1HKaK0ZoCPg55NNx\nOQX7DweYGtEuyM/xsqC4kLwsN3X+MPX+EAfqAlzYLoMMl4PGSDFCmlMjLCXBsNFFweUQ+EMSkPhD\nEpdT4HVqhMKSYKTTwptb9jLztc8Nv29xIZ1y0miVpooTkoxyFyhSTfKKEYQQNwKzATfQVQhxBfBr\nKeWNJzLuiRIIhNlZ5bcM68wRl7DsR9+hstZPVX2AxyNKWkve28mdV3blhQ1f88D1l/LtoUamLttE\nXqaHe4f3sBUxzB3bh79+sodrerRnyXs7uWtIdxqdgolLjhjvecWFfPjAUBoCYf645kve21GlihMU\ninOcE32efQjoD9QASCk/Brqe6KROlCrfkZUrQIecDMb+6QNGzX+fyc+V8cbWCkuFy/wdDGN1Tpgy\n+EKbApfZRWFU387W+VOXbcKhOWznTF1aRmNQJxDSWVFWrhS6FArFCRvZoJTyUMy+lOcNhnSZUEEr\nmthCg2ilrqbOd2jCdl3s4rS82ocupZUra+5TxQkKxbnLiRrZLUKI2wGHEKK7EOJJ4L2TMK8TwgxE\nmTSlnBWtrBWt1NXU+WYQzTyeKHimCWELnimFLoXi3OZE82TTgQeAYZFd/wAellL6T8LcjkpTQYfG\nxhDbq+otl8Hkq7twe1EXyye7qmw30669CE0IctLd6FLicghCuuSrinraZnlolebkN3/dyhtbK2w+\n2et7dcShCTI9TrxujS17avn7v/dy3X90oEvbdNJchkENhHR0aQTEOmanK59s8lCBL0WqSaoK1/VS\nygcwDK1xNyFuAV46wXFPmFZeJ89P+g6aEFTXBxj7pw9s1VhZXiffRnytZnuZu4Z0t7Wo+ePtffjp\ndy8m0+PE5RSM6X8Bj/z9M8vwzrmlF+u/qmTclV1s2QvR1WDziwvp0EoqI6tQnKOcqLvgv1q475RS\n5QswdtEH+IM62/fXxbUCn7K0jGBIxrWXiT3vx88b22P/9AGhMNzxzAbe2FphHZ/+0ieM6tvZFmQr\nj0grThl8oXWvirpTsrBXKBSnIcerwnUd8H2goxDiiahDrTD0YlOKGfgy288kCmLFtqQ5WnBMStls\nMCzRdeZrVfmlUJy7HK+74FsMta0bgbKo/bWcQDnsycKpCZ6dUEiay2hDY1Zj9e6UzZTBF5Kb4cbl\n0GxVWker6nJogpVTBlBVH7DpHcjIeYmuM187NEFNg596f7jZFuK6LqmqDxAINX+eQqE4czgud4GU\n8hMp5RLgQinlkqifPyfSgD3V5Hrd5GZ5mfnKp1TW+Zk9qifDCtrxi+/14OHXtjJq/vs8/NoW5o7t\nY2URrCrbzbyobVOFa1XZbuYVF/Lcezsj123lF9/rwbCCdswrLiQrTWNecaHtunlj+7B6637r9bPv\n7WT3QR+P/3M7N899l237a9FjUhN0XbJtfy03z32XgbPeavI8hUJxZnG87oIVUsrRwEdCiGgrIAAp\npex5UmZ3nFT5Akx+zuiA8JPnPyIv08Ojo3paUoSA5Vt9saQIf1Bn7yEfz73/NQ+OKOC8VmnkZLg5\n1BBgZGEnnlz9BSMLO8E7u6yOCaXj+zH7H5/z4IjLeHL1Fzw4ooBsr4saX5An12znv2+4jLvpzhP/\n3M6KsnL++ul+Ssf3Y0VZecLuCVX1ASY9uzGu1bjqsqBQnNkcr7vAFIQZcbImcjIxfbKmP7W82sfB\n+kCc7/SNrRXcf92lDP39OmvfirJyAJaXFDFm4Xpr/8SrulmvzfHe2FrBL68v4I2tFZbRjj3fHM/0\n35qvYwsUzDbm0ahCBoXizOd43QV7Iy8PALullF8DHqAXhr+2SYQQnYQQbwkhtgohtgghfhrZ30YI\n8aYQYnvkd87xzA2OFCNEFxUcrcAgdr/pU21uOz/Hi0OIhNc3BMJx15hFCokKFMw25rHjqEIGheLM\n5kSLEcqAq4Ec4F3gQyAgpRzbzDUdgA7R3WqBHwDjMYS8HxFC3A/kSCnva+7+zRUjVDT4cTkEum6s\nbJ2aIKTr7KhssLrMdmrjpVWak8ONIcaXfshDIy6l4PzW1vkSyb5Dftq3SsMfWVG6HBpup0Z1fYAM\nj5Nsr4Pd1X6mLC0jL9PD3UO706VtOm6HRlDXKT/oI83lIC/Lwysf7WF5WXlC0RjTJ2u6DPJzvEpc\npmWoYgRFqklqMYKQUjYIISYCc6WUjwohPm7ugma61d4EDI6ctgRYCzRrZJvDH9LZfyjAPSs+abLY\nYM4tvXj09c+ZdHU3Vk4porIuyJiF622qWtX1fn62/GNbgUH063nFhbz2cTmzR/Uk0+O0cm3N6599\nf5dVvLCguJCxAy4g2xufNaBpgh7ts/jLtIEqu0ChOIs40WIEIYQYAIwFzK/rFj/fxnSrbR/lhtgH\ntD/eSVX5ApQf9FkGFhIXG0x/6RNGFnbinhWfENaJKyqYurSMgvNbxxUYRL+eurSMPl1yOdwYiht/\n6tIyI2AW2Z68tIywTpOGU9MEeVkeOuakk5flUQZWoTgLOFEj+zOMCq+/SCm3CCG6AW+15MLYbrXR\nx6Thw0joxxBClAghNgohNlZWViYcO6TLuCKEoxUbxCp3mcdDET9qbIFB7Ovmxo/eVoGsM5+WfAYV\nCpMTchdIKdcB66K2dwB3H+26RN1qgf1mM8WI37Yi0bUtbQluFgnkZXqMAoRMd1wr72EF7eiY42Xd\njME4NcGwgna2LAGztUzvTtncPbQ7HSJtwRsCYXIy3Ez/bncuz8/mvNZpODQjHUxgBNlWb93Pdf/R\ngfNap7Fm+iAO+QKEdRBCEArpVPuCyi1whqJagiuOhePNk/2DlPJnQohXSbDibK4zQqRb7dPAZ1LK\n30cdegW4E3gk8vvl45kbGMUIDcEwC4r7cLgxZOtwYPpT87Lc/GRId26N8sHOHdsHwPKhzisuZPfB\neu4d3oPSd40uCvet2mzzuT65+v9v79zjoyqvvf9dc80VAiFBFCxoQU0tIAHFSyuKtVppfS0IIkHh\naAGtl9NaW9/T+h57OJ9WxWq1VrmooKAVhF7pTauCFuUWERRUvIAS5BISCLlM5raf9499cWYyM4RM\nQibh+X4+88nsvZ/97JXJZM2etZ7fWtuprg8l7aTw6CsfOnMlFo155OXtzjGd4NJoui9tWl0gIuVK\nqUoRuTDZcesON9W5FwCvA+8Atqj/vzDjssuAk4FPgYlKqdp0dqTK7O4+2MSk+Wu597tfTd7K+4az\niURVnDjBPrZo+tl43eKsLghHFFOfWs/d48qYvXJbi/F3jysDSHls5uLKFtvJjmnRQZvRqws0nU37\nry5QStn1CoqBvx5N/dg03WoBxrbFnkTs+GrKVt6Hg87zxGM1VsUsW4iwdMbouNht4vjY2GyqY8nG\n6litRnN8kGni69vAdhFZLCLjRCTTJWHtQjIxgk2sUCDVsabQFw4vtntCKtFCumPJtpMd06IDjaZ7\nkpGTVUpNB76MWaR7MvCxiDzRHoZlQnGuj0XTR9E7z9ei6MtjU0bw5dJ8euf5+PWk4XHHHpo4jAG9\ncynrV8g9407nrAFF9Mz1sviGs+md5+NXVw+LLwRTUc6Kyl3MXfUxcyYMTXrM3p4zYShzV32c9NiC\n60ZSnO871i+TRqM5BmSk+HImMVcLXAZMB76ulOqT8aStIJ3i66OaxjgV1qCSfAScljKXlpVy52Wn\nU1UbcBRgJ/XK4YnXdvDGJzXMrSgnx+ti2sINTjJr4bSRuF0u6psjFOV5cbtAKUEphdfjIhQxQ8zh\nqOLvWz7nzP5FfKk4D49baA5H8brd1DWFeG7dZ1z+1X4M6pNPnt9Nn3y9JjYDdExW09l0nOLLKt49\nCVOptQp4ApiYyZztQU0gxCxLWFB1MMD0RRtYOG2Uo/YCU5wwfWHLxNfd48pYVlnFrCWVzL7yzDhx\nwfRFG+OSV7OvPBOAU0sLuHrumymTY7OvPJNQ1GD2ym1OJa5llVVOwks7WI2m+5JpDPU6YCkw81g1\nT2wNyYQFRyNOsJ/n+dytOm53TUg1Z57PTR7uuEpc9jGd8NJoujeZihEmpzsuIm8qpc7N5BptwRYW\njC8f4NR4VRC3r3e+L2lHg9JCP/OmmjHT2ASYfTw2edUUinJGvwKiBrz6owtxu1zM/NpA5r2+M+6c\nplCUUNRwYrbzppZTlOulKRQl3++muj6ohQkaTTelo1cD5HTw/EkpzvVx69ghcR1kn/3eOXH77M4G\niV1mf7hss1P4pWeux3HEsYICO0nWp9BHdX2oRVEYgHmv73TO6VPoZ832/cybWk4gFHFCCpeWlVJS\nOMQJbWhhgkbT/ehoJ9spksOaQKhFsZdP9jfGxWRt+ezvvjeaqKHYcaCR+//xgSO5vWlJJUtuOJu7\nx5VRnO/jhJ45CPDwNcNxu4TPDzVjKElaFOb5GaOZdPaXEGDv4Wbm/MPsoOASnCpfYMaFZyXYqbsh\naDTdi0zXyWYlrYnJgulow1EDQ5nqL9vBgunwDAUzF1cyYe6b7D4Y4Pz7XkVZx66e9yZCchFCKGJw\n8a9Wc9GvVjN5wTrnOsGI0aq4sI7TajTdh452sp3yndcWI8TSFIomFQwYipTdEWI7GdiCAxFx5kp1\nXmLvQ3ufoYgbn0rEoIUJGk33IdPOCPlAQClliMgQ4HTg70qpsHX8TKXUu+1jakvSrZP9sKYxLt66\naPooAqFoXPx00fRR5Pk8hKMGLhH21jXzi7+9R3VD0DrmJhxVuF1mLQMBRHAcbXM4Sjiq4mKqj1eU\nc0IPP58faqYpFEFE6NvDj99jfp4pBS9t3cO2PQ3MGnMqbpcQjirmr/6YNz6p0THZo0evk9V0Nmnf\ng8e8/Ux7ks7JHgyGUApCUYVhKJau/5RvDT2R4nw/UaXwuoXaxnCcg5wzYSglhX4agxEihuL259+O\nO5bnc1OU5+VAQ8g5dmlZKT+9ogylzDvosBFl6pMbKCnwt6jMdd/4oTz9xg5uGzsEv9flrNO1nXP/\nXn565mhhwlGinayms0n7Hsy4M4JSqgn4Lmb7mauBr2Q4Z8bUBEK8v6cBQ8GO6kaue2o9817fyZW/\nfYOtew4z5Yl1NAajLZJOdy7fwq7aAHk+j+NEY4/VNoYJR4k79uK2/Ux5Yh0f7KvnmgVr2XnAFEDM\nGnOq42DtOX6yYssXya7aQIuEWVPQ0A5Wo+lmdGr7mY7C7owQTdMhwe2SlMKBdMdckrriVqxA4Uid\nGJIJHSKJwVyNRtPl6ZT2MyLylIjsF5F3Y/bdIyK7ReRt6/GtthrlcQnFBT7rp5+F00Zx1oAiJpb3\np19RLq/ccSE+jytp0qm4wE++L3l77qZQFK87+XmlPfxcWlZKaQ8/E8v70zvfx/JZ5zJvajlnDShy\nxvXO93FpWWlSoYNH38UCZufe6voguw82UV0fxNAfPpouTLu0nxGRPGu7Ve1ngEXAo8AzCfsfUko9\nkIlNYIoRPmpqjCvu8uT15YQiimsXrHViqXMryuNisveNH8r9/3iP28YOYdH0UXHnz5kwlB45Hn7z\n8ofMmTC0Raz1l38zzwPF1HO/5BQEj43FXn/eIOb8831uvXgwhQlCh8cryinRlbh0a3RNtyPTAjHn\nYraSKQBOFpFhmHUMbk53nlLqNatTbYcQWyAGsMIDbm56dn0LMcLSGaPZU9dMTWOIB/5pihG27ann\ngauHce93v2r27xLhQEOIw80RllVW8eH+BhZNP5tDTaEW5y2afnYLgcJPVmxh4bRR/Hj5FmfcrycN\nZ9H0s/G4hXDEYPnGzzjh61+mxJcVJXk7jZrGkONgQQs0NF2fTP+jfw18E7M/F0qpzSLy9Qzmu0VE\nrgM2AncopQ4mDhCRGcAMgJNPPjnpJMnECMliqS9u289Pryhjwtw34/ZXHQwgQMWT6+P2L50xGoBN\nuw5R0xB0uifEnpcqZlvbGHLEDlUHA0QNxSUPrmbpjNHOPNedNyjp73M8EYpEs16g0Zr3oEZjk7EY\nQSm1K2FXW/8bHgdOBYYDe4BfpbjefKXUSKXUyJKSkqQTJRMjJAoBwNx2Jxlrx18T98V2M0gnbmht\nl4TEgjNahAA+T/J4eDa9Nq15D2o0Npneye4SkfMAZRXuvh14ry0TKaX22c9FZAGwsq1GFef6mDe1\nnJmLvyja7XULz954jlO0246D5vpcLWKz8yrK8XtdcTHThdNHUdMQYumM0TSFopxY5OfxKSM40BBy\nin4P6J1Lj1x3i/nsrrbwRXcGv8fF728+j1DEYNWdY/C6BKUM9hwKUFLgx+PplornI1Kc72PBdSNb\nxGR15whNVyVTJzsLeBg4CdgNvAh8vy0TiUg/pdQea/MqICOlWEGOh6UzRnOwKV5wMLei3OowK7z9\nWQ1CDx55eTv3fvernFiUy6c1Tfzsj+9SUujj2RvPoSkUpcDvZn99kB+9sPkLxzllBDk+t1N0xt73\nwobPuHrUySybOZpgxGDngSYWv7GTyWd/iZ9cfgbV9UGUUrz47l4uPL2Um2MreE0ZwcrNu/n28P6c\n3rfwuHS0LpdwWt9C/nDz+br8o6ZbkGmPrwNKqSlKqb5KqVKlVIVSquZI54nI74A3gdNEpEpEbgDu\nF5F3RGQLcBHwg7baVRMI8cn+Rrbva2iRAJu1pJJte+qZvGAtp/crYtaSSl7ctp/GUJTrnlrvFIqx\nRQb5fg8f7W9sIU646dm3WgoKnn2LCSNPZtrCDUQNmPqkOd+yyiqmL9rA9U+tpy4Q5vvPbeLKEf0d\nB5t4/qwllexvyJoa6Mccl0soKfRzUq88Sgq1Ak7Ttcl0dcEjSXbXARuVUn9KdV6KYt9PZmJLLLYY\nAdILB2JFB6nEA0q1FDTYx5IJCuw5DdUy+RZ77VTH7fMjUaPtL4BGo8kaMv0+moOZqPrQegwF+gM3\niMivM5y7zXhc4rT2TpWESqyilaoiVmzVrcRjyZJj9pwuSZ5Qs6+T6rh9vsd9/IUKNJruSKYFYtYC\n5yulota2B3gduAB4RylV1i5WpiBdgZj9TUEEiCqzB9feumYWrtnB9y8ajMctFPg99MpzU99sEDHM\nSls+j7B1dz2PvPwhJYU+fnpFGQJ4PUJVbYAfLNscF9vtne/l80PNuF1QlOfDJWLN46I5FMXtElxi\n2uBxCYZShKMKl0BjMEI4qlp0VajccYBRg/pw2nEak20DukCMprPpuG61mNW3CjBDBAD5QG+lVFRE\nOjWoWN8cYebi+ApbP77sdF7Y8BnzXt/JPeNOp3xQn7hyiI9XlPPpgXrmXD2U5rDBlCfWfbG6YNpI\nls4YTTiq8LiFQCjCxHlrnWpbU59c74x9bMoIlrz5KW98UuOovaafP4hcn5vHXv2IGy44hSf//Qn/\n/Z0ynp8xmlDEIGoolm/8jCuGnUSPXI+OQ2o03YRMb5XuB94WkYUisgjYBMyx6sz+K1Pj2kpNIOQ4\nWIivsDViYDEAF5f1a9Gi5qYllVxc1o9dtYEWCbPpizayfV8D4ahBc9hg+qKNKatt3fzsW3zv66fE\nVd66c/kWDjaGGV8+gDte2Mz48gFs39vINfPXcvGvVvONh15j3us7ufnZt/hofyM1jaFOeOU0Gk17\nk2ntgidF5G/A2dau/1JKfW49vzMjyzIgmeLLTlTlWUXCUiWejpToslt6HylhFjsutvKW3Ro8trV4\nsutkk8JJo9G0nfYQyjdjKrRygC+LyJeVUq+1w7xtJllL8BWVuzixKBdDKV7/8UW4hKQtwUUElwgL\np42if68c/F4P0aiB1yO4EMKGchRlVQcDTiIrcR6bS8tK6VPoZ/mscynK81Fd30z/XrmcVJSLgqQt\nxIsL/FazxgClx7EwQaPpDmT03ysiNwKvAf8Efm79vCdzszLDbgk+e+U2Js1fy+yV27h17BCWvLmD\nC+esYvKCtUQMw+pGYDpEOya7+bMacn1u1n5cTSBscO2Ctfxw2WZ21QaYOH8tF85Zxc//stU5d+6q\nj5kzYWjcPHMmDCUQjjLzawO55eLBXP/UeibMfZNpC9fjcQm/vfYsbv3dJiYvWMu44f2Z+bWBzrl2\nJbBPa5q458/v8v6+eiIRvZxLo+mqZLq64B1gFLBWKTVcRE4HfqGU+m57GZiOVJnd3Qeb4lpvg+nA\n7h5XxszFlc72C7NGE4maoQN7dUEwrJi8YC0Lp41yyhXOm1rO7JXb4ua7tKyUn437CnsOBTixKIfd\nh5oRzKVgc1d9THVDkOe+N9oprRhrx73f/apTfKZ/r9y4SmBzV33Mpl2HHHtnr9zGspnncmJR/HIv\njYNeXaDpbDp0dUGzUqpZRBARv1LqfRE5LcM5MyZVTNaOg9rbgZDZutuuhLV0xmhKCv2tEiq8uG0/\nd11+hnPeNQkVuQAiUSOpHd6YNbB2R4RklcDs62phgkbTdcnUyVaJSBHwR+AlETkIfJq5WZkRGzO1\nSVYJy174H1sRq7jAH3csXdzVbhluixWSHW+NHe409mphgiYVR3OHrO96O4+MwgVxE4lcCPQE/qGU\nOibrj9KJET6qaWxRGKZ3vpdwVBGJGhT4PYQNRdRQeN0uPC6zs63PLYSiBkpBXSDCIy9v57pzB9Kv\nKJfahhDBSJQcr5vSHn5CEcMSHJjfFmIrfD00cRgvbKziqhEnxXVReHzKCJrDBh63UJjjpcDvImpA\n1FBEDEVjMMKBhhC98r089upH3D52CMUFPtwuly6UkpzjNlxwNGgn26F0aLgAERmBqfBSwJpj5WCP\nRI7XxbyKcvL8HnYeaOTuP75LdUOQhyYOozDXwycHGuOc39yKcv7ydhXfGnoizWGDO17YzHmnFHPL\nxYO5+dm3HNHBXb9/J0508OgrHzqOdZ5V4UshhCJRxpf3xyXCc987h4bmCIU5XoKRaJzKK3GO+8YP\n5XfrP+X2sUO45ztf4Z4/b3WO6TYsGk3XI9PVBf8PeBooBvoAC0XkZ+1hWCbUBEJMW7iBwlwvU59c\n51TWqjpoSmM9LncLAcGsJZVMGHkytY1h7rBKGo4t6+tUykolOhhfPsDZnmlV+Lp2wVqUgknz13L1\nvDe5dsE6vG4XH+1vcPqGpZrDFi/MXFLJB3sbnDY5dhsWLVLQaLoWmd7JTgGGKaWaAUTkXuBt4H8z\nNSwT7MRXKsFBqhYxbpfECRFiE17pWnwnbseKEVLN3Zo5klX50iIFjaZrkamT/RxThNBsbfsxi3en\nRUSeAsYB+5VSZ1r7egNLgYHATmBish5frcHjEmZ+bSDehITSWQOK+K9vnYHf40qaaPJ7XPTrmcNf\nb72AiGFwQo8cR5SQ6/OwfNa5LZZZJSaxSnv4+dcPzZbjG346lkDYIBQx8Hlc5FqtxhOvG45ZPRCb\n8PJ7XJw1oIhZY06lKNdLUyhKjq9rJcEMQ1HTGNIFuDXHLZn+x9YBW0VkkYgsxOxmcEhEHklRa9Zm\nEXBZwr67gJeVUoOBl63tNlGc6+Pbw/vzzBs7eHzKCPr3yuWsAUXc850yQPHzv2zlvvHxAoK5FeU8\n88YOvj5nFTOXVJLn91DdEHJECdfMX8uEuW8ye+U2fvTN07i0rJTHK8pZUbnLmePxinKeX/cplzy4\nmmvmr2VPXTP/u3Krs+0SYV7FiBbChcIcD2cNKHJisisqd/HQxGHk53i4d/yZjqji7j+9y55DwS4j\nTrDbe1/12BrOv+9VrnpsDR/sq8cw2ifZqtF0BTIVI1yf7rhS6uk05w4EVsbcyX4AjFFK7RGRfsAq\npVTaNbetESNMLO/PrDGn4vO4+HBfg9Muxr5DLM73UZTn42BjiNqmkCNWWDhtFHf/6d04UYKNLSB4\n5o0djBhYHCfdHV8+IE7wkCiAeOY/zubTmibyfO444cLiG87G63ZxsDHEgYYQOV4Xdy7fwqLpZ3PJ\ng6vjrt1VxAnV9UGuemxNi9eundt769UFrUCvLuhQOm51QTonCiAiK5RS41s5Xd+YHl97gb4p5jyq\nluDLKqtYVlnF0hmj42Kim3Ydcpyf3eo7NjZqj40VJdjYAoJ5r++EmLoDADdccErcuMR4K8D0RRta\n2Lz/cJCSQj/ffnSNY5MdP25x7S4iTugK7b3bgm4JrjkaOjrAd8qRh7REmbfXSW+x29oSPF2nBPtY\nspbfsd0TYs9J1Uo8Wevv2O1U8zWFoo64ITYum/jNuiuJE7pCe++2oFuCa46GdhMjJJ1c5C2l1IgU\nxwbSQeECW4zwyMvbmX7+IAb0zsXjctEQjHCwMeR0OLi0rJS7Lj8DEfC4XPi9LkLhKHvqgpT29HM4\nEGHl21VcMeyk+K6yFeWc2NNPdX2QG5+JKfo9ZQS/sda8XlpWyk+vKONQU5i9h5tZUbmL28cOYcOO\nAww+oSdPv7GD684dyAk9zQSXxy1EowZVh5opKTTnLi7wUZTr5ad/eCeujflpJfnUBaNZn0yyY7KJ\n7b3bea2vDhe0Ah0u6FDSvgezycnOAWqUUveKyF2YHRZ+nG7+I7WfaQ5HCVh3qXcu30JJgZ+fX/kV\n0ykJ1DaGmbkkvnuCvWwq3++hZ66HUEThdYupFDPM9jHzV3/MG5/UMLeinEAoiqEUTaEoA/vkUdcU\npk+hn7qm+LnnVpRT2xCgd0Eu/Xr62Xs42KJzQ59CP8utzg39e+Xy60nDmf/ax9x68WBcLrNlzpZd\ntQwq6RGnZstmkcIxWF2gnWwr0E62Q+lUJ7tJKXVWkv2/A8ZgChj2Af+NWf9gGXAyZv2DiUqp2nTz\np0t8bd/X4GzbyS6b/r1yWTT9bKYtXN9i/+wrz3S2Q1bs02d9PU82T2Ji6+5xZfjcrqRjn7cKydg/\nk127f69cvvHQa3HzzV65zfmZKhHXzsmkroR2sq1AO9kOpWNltUfgJ8l2pmgJDjC2PS4a2xIckgsP\nUgkSYs+zuyikmyeZkCDV2KiVkIum6dyQKGKwhQnJ2pjHjuvqySSNprvSJidr1ZFNdgssmHmroZhP\nXszAtjbjcQkVpfDLAAAcoElEQVQ9cz3k+T0Iwpv/9yKiUazYq9ndAJJ3RujfKxevWwhZXWUNq9Ns\nbEWt2OVfJ/TM4Y27LiIUMcMJHhdU14eSzm13bPC4hOWzzqU5HHUKzDSForhE8LpdTCzvz3eGn8gJ\nPXPJ8br490/GoBS8MPNc3C7h+Rmjue/v77Np1yFn7q6eTNJouittvZMd165WtDPFuT4C4Si7DwZY\n9f4+xg07id+88iE3X/RlAjHx2TkThsYViblv/FB+/pet3HLxYP66eTdfP62v02m2X1GOEyO9/rxB\n/GTFFid5ZheRseeZN7WchdNHMd2qU2AnrHJ8Lu687HRnDa8di7337+9T3RDk8YpyXt62h6nnfimu\niIwdK/Z5hP98/m2n0M0v/maet+C6kRTn+zr7ZddoNEno0JhsR3OkmGysmCBZrPSsAUU8Mvks9h1u\n2ZUg9rzZK7cx+8ozOaUkn1DEiIuJJuua0L9XLg9cPYy6QDhOqPDjy85gV21T3DrZ2Lhu7HVTxYpD\nUcMZu3TG6KxeXXCM0DHZVqBjsh1Kx8VkRWQ08BvgDMAHuIFGpVSPTObNFDsmGxvDTBYr3bTrEOGo\nkbQrQex5drw0aihqG0Nxc6QqHCPgJMRs7rr8jKRFX2JtSxVztc+z48T2mOM02aXRdBkyXdX+KDAZ\n+BDIBW4EfpupUZnicUkLMcGhQDipGMFQtNiXrGuCLRawt20St+3zm0LRFvsMRdL9tmDhSGKFWMGE\njsNqNF2DTGsXbFRKjRSRLXayK9WyrY4g3TrZfU1BolGFoRSBsMFvXt7OzRd9GcFcH5vnc9MUinJ6\nvwJqGsJx604fnzKClZt3c/nQE0FBaQ8/Spl3yADhqOHUhU0ak60op3eBl6vnro3b16fAR8RQvLR1\nD/165VOc76N3vo+5q8x1t49PGUHlzhrKB/XhpoT1uyWFftwu+OHSLVQ3BJk3tZzTSgt1u3AdLmgV\nOlzQoXTcOlkReQ24BHgCs97AHmCaUmpYmyc9CtI52Y9rG5m5uJKSAj/3jj8Tt8tNvt9lChBiRACP\nV5Sz8u0qRgwspjjfR0mhn1yfCxfCvvogD/9re1yiyxYWGEoRCEVRwOC++TQ0R6muD1LTGGJF5S5u\nHTuEvj387DnU7Ci+rj9vEE+/sYNbxw5h5dtVjujAnk8pRb7fw7+373eccEmhn0NNIX776kfcNnYI\npYU+PqsNMP+1j/nBN07LWhHCMUQ72VagnWyHkvY9mOlt0FRrjluARmAAcEzagaejJhByHOmsMady\nw9OVXPLgarZUHXb2gxnXvGlJJSMGFjNzcSUT5r7JlCfWcTgQpTliJpjGlw9wHKx9zqwlleR63Uya\nv5Zr5q/lYGOEKU+sY8LcN5m5uJIXt+3npiWVBMMGew83O/vsrgc3WV0YYufbU9fM95/bxK7aAP16\n5cfZs/dwkBe37WfWkkoON0epaQzx4rb9ulOCRtMFyNTJ/h+lVLNS6rBS6udKqR+SBcu7YqtwtaW7\ngUtwBAOpzokVDaQSNhhKtbpzQmyCLZ3AwSXEbWsRgkaT3WTqZJPVk52W4ZwZE1uFKzYxlSpJlVgp\ny1A4VbZSnRONKY+VKnnmEklalSvx/MQEW6pKXrZtOvml0XQd2hSTFZHJwLWYXWpfjznUA4gqpdpF\nHnsk0sVkqw4HONAQoqTAj8/jYm9dMy9s3NWiRffC6aOoaQghmJn/k3rl4Pe6cQvsOxxk3uqPW8Rk\n500tp0++j+aIgUuEPJ/weV0oLlllV+oKhA0ONoU5UB902nzHxmTtSmDN4Sg9cr24xLwT330wwMI1\nO7j14sE0BCMsXLOD28YO4cQiP59UNwFQWujnxJ65x3vyS8dkW4GOyXYo7Z/4EpEvAYOAXxLfJqYe\n2KKUihz1pG2gNYmvxAx9j1wvjUHTvByvq8XKgnlTyykp8FJdH8bvddHQHHFWF4SiBvsOB8nxurjl\nuU1xDvVgQ4BBJT2IGgqPW/jX1j0MPqFnvHOuKKe4wEckaqAQPK6WlcDuGz/UUZkVF/h44rUdTsWv\nojwPBxvDcWqwbK7AdYzQTrYVaCfbobR/4ksp9alSapVS6lzgfaDQelQdKwebjtjEF5ixyzuXb2FX\nbYCtuw9z0QOr2b6vgcag4ThYe9zMxZXUBaJUHQowbeEG9tUHmThvLe9+fpipT66nLhB2HKx9zk1L\nKhlY0oPJC9YSjpr9wPr1ym+RMJu5pJLNVXVccP8qvnb/q7y/t8FxsPYYOzl25/It7D7YzNiyvk5y\nrDmsHAdrj9fJL40mu8noe6aIXA2sB64GJgLrRGRCexiWCZE0Va5s5VSR9dU8VVIrsfpV4s/Ec5TV\nfjxRKZY4LlmLm2RjEpNg6SqH6eSXRpO9ZFrq8GfAKKXUfgARKQH+BSxv64QishMz7BAFIkqpkUc7\nh534StT/K+vnqjvH4LG+XqdqDT6wOI/XfmxWv3r1RxfiErOClp2gSlZhy66StXDaKAylko47sSiX\nieX9WVZZhUvMsYlNFWOTYIP65PHqHRcSVeDzuLi0rJTq+lCLNuHV9cGs75Sg0RyPZOpkXbaDtaih\nffqGXaSUOtDWk4tzfTxeUR6fiJoyghyvyymW3b9XLk9cV87civIWaq9QNMrnh75oU2PHdH/0zdNY\nsXEX940fGhdrtat3TT9/UFyVrEevPSsudnvf+KHMXrmVWy8eTFm/AnJ9bn6w7O24a+T63Dz26kc8\nNHEYRXle6gJhvh8zx9yKcqKG0WLfIy9vd1rU6DitRpM9ZKr4uh8YBvzO2jUJM/GVtFh3K+fcCYxs\njZNNV4Xr53/ZyvjyAU4VrN55Pseh2fTvlctjU0aQ63Xj9biIRBWNwTC1jeGknQ1mX3kmg/sWIAIo\n2FPXsnpXbEWtZ288h3BU4XbB9n0NceNSdUewz8n3u6mqDSS1efaVZ6as5GVvH0edEnTiqxXoxFeH\n0qGKLwXMA4Zaj/kZzmfP+aKIVFqtl+MQkRkislFENlZXVyedIGIoXty2n5mLK5k0fy0zF1diqORx\n2kAoyjceeo19dc1c8uBqmsNGylhpns/N7oMBzr/3VYIRw1F42cWzE4UDe60591v9vGLHpYob761r\npqYh6PQOS1eRK3ZfooBBx2k7jta8BzUam0yd7DeUUr9XSv3QevwBuDzDOS+wmi9eDnxfRL4eezCT\nluDpqmXZcdBU1bpihQLpqmXFCgViY6uJ41ySvKW4XW0raqgj2pzsuva2Fil0HLoluOZoaOs62ZuA\nm4FTgI9jDhUCa5RSFe1inMg9QINS6oFkx1u7TvbSslJ+Nq4MAatFjCAiGIbC5RJqG0NEDYOeuT72\n1wfp28NHQ3O0RXeC4gIfKzbuYtywk9h5oJ6v9u/NgQazKMxbO2uYdPaXqAuEOdQUpk+Bj+awQZ9C\nH163i//5y9a4VuFKKRTwy7+958RS7Wvk+dygBBEIRgzu/fsXYx6+Zjhul8TFeu2uub/423tUNwR5\n5j/OpiDHQzhiHA+JMB0uaAU6XNChdIgYoSfQiyRihCN1mD3CvPmYybR66/lLwP8opf6RbHw6J7vr\ncICq2gB9Cnwo4NFXPuSGC07hyX9/0kLBZbd3uefP25w2MCvfruIbX+lHSaEfQyn21jWzcM0Obr9k\nCP17+fmsNthC4fWbmORTYjJqXkU5eT4X9cFoi7KIPXI9RA1wu2D2ym3OObYw4faxQ+iV78VQUNcU\nxlCKXJ8Hj1vYW9fMfVb7mnkV5ZzUK4c9dUG+98zG40WwoJ1sK9BOtkPpEDFCnVJqp1JqsiVMsB9t\ndrAWfYF/i8hmzPW3f03lYNNREwgxfeEGpi/awOd1zdz87FuMLx/AHS9sTlpV687lW6htDDNrzKlx\nlblqGkNMeWIdFz2wmskL1jlx3sMBw3Gw9hw3LTErdtnbsxK2Zy6pxO12Ow42dn9z2OCDffXONexj\ntjBh5pJKmkIGH+5roOpQgG8/uoZLHlxNxRPrqAuE2bTrkDNXU8hwHKw9jxYsaDSdR0e3BD8qlFKf\nYK5WyIhkVbiOJCbI87njWrukbe2dIiGVqnqWva1SnBcrfkg2py1EiLUx1TUiUUMLFjSaLKJbVhZJ\nVoUr8WcsidWv+vfKpXe+j9JCf9Kx3iSJtWTJp8TtVMkun8fFSb1y+ettFzBvajlnDSiKmyO2dc2R\nruFxu1JcQyfCNJrOIKvuZNuL4lyfIzKYu+pj5kwYysI1O5yW3oligjkThtIjx8PP/rjVia/O+ef7\nVNeHWrQNn1tRzlufmq1iYhNjj00ZwaOvfAgQF6O1t+dMGEowEuWhicNaiBxufW4T1Q1BfnX1MFZU\n7uJH3zyNp9/Y4XRSeGzKCDxuOLU0n/9due2La0wZwW9irrngupGUFvhZcN3IFjFZ3TL8+OZo4sI6\nftu+dNuW4F63i62fHybP5+aEnjnsqWumf1EO4ZjVBVFDoRRU1wcp7eGnuj5I3x45zF651YmNnjWg\niNvGDmZQn3yqDjbxzJs7GV8+gNJCH4eaIo4k9uVt+7j8q/0Y1CefvYeb+VJxLu/vaWghmX32xnOc\n635W28QjL3/orJ+1RQWzV27j+RmjEQHDSojd8+et3PPtrxCMmuUV3S4hx+PCUGbPsdhVBIahqGkM\nHS8yW534ame0kz1qOq4leLYSMRQRI+qoopZa6qqlM0YDMGn+2hbnLJ0xmknz1/LKHRc6DhbMtuHT\nF21g6YzRVDy5HoAbLjiFUETFqa4AllVWOdd65Y4LWxwH2FvX7DxPPB4bg919MODYuXTGaF7ctp+f\nXlHGRQ+sdmx97c4xnFyc3+IaLpccL2ovjSbr6bYxWXeKuGyqBf6xsc/WiAzSdVk40jytsSOZqEEk\nvluDx90t/3waTbeiW4YLmpsjBIwINQ1hdtUGKMrzUlLoo7YxTK7XxYGGUFyc9deThvPS1j1MPW8g\nKCGqFAcbQygUPXN9+DwuRKD6cJCCHA9NoSi98ryICDUNIacb7a0XD6ZyZw0XnXECAC4Rlry5w+lK\nO29qOX0L/TSFoogItY3BuEIvv7p6GE/++xNuHzuE3vlemiMGwUiUB1/czu2XDKEwx0MoYpDrdSMC\nJfl+vN7jPqGlwwXtjA4XHDUd1xK8s0nnZGuDIWqtrgclBX5+fNlp3Ll8CyUFfv7rW2dwQs8cQlGD\n6vogfQpMR7rbWjMbm5S6/x8fUN0Q/EIYcMkQ/rypiq+f1jcuefbba0ew6dMaygf1aSFS6FPgJRyF\nV7bt4bR+PZ0551WU07vASyhixokbghG8blecwmtuRTk+jyCAoRShiOI3r3zI9PMH0bdHDgOL87tz\nvLU1aCfbzmgne9R0aIGYrKQmECIaxSlhOGvMqY7z3LTrEFfPe5PJC9by0f4Grpm/lmkLNxCKKGcM\nfCFSsAUKjjBgsdnOO1HQ8P3n3uL8waVJRQoNzVGuXbCW8weXxs05c0klUQOmPLGO7fsa2FnTxHVP\nrY8TJMxaUokgTF+0EbfLzYGGkNM54dOaJi0y0GiynG6b+FJ8ISQ4UpeCdF0HYsfEtvNOJSpItz+2\na4J9zG49bgsN0p0fK0iwz9EiA40mu+mWTtbjEifxVHUw0KKbgb0sq7jAx7yp5ayo3IXXWsSfWLvV\nTkBdWlZK73wfy2edi9/j4oWZ5/LCxl2MLevrdCiwk22Jc9g/7cpdsUktWzjRFIoSihppOzrYggR7\nXFMomlZkcJwt5dJospJuG5Pd3xSkrsns7JoYk7Wfx8ZNK3ccaNFd1o7JlhT6uOXiwXGFXR6aOIye\neV7+Y9EXi/4fvmY4PXK9TF+4IW6OnnlevG4Xyzd8xpjT+zox2TkThjoJNLdLuP8f77coXjO3opx8\nv4uIAR4X1AUiPPbqR3zva6dQXOBPGZM1DMUH++qPh0IxOibbzuiY7FFz/CW+dh9sYtL8tZx3SjEz\nx5zqLNwPR83fdfKClh0J7h5XxtxVHzNrzKkU5/vo1zOHQ4EwhX4PbpcwKUkXg2QdCp698Rw+qW5s\nIUJYNmM0EaXwul3srWtmf33QOfb8jNEsfmMH1503CBFQCqJWGca6pjD764P0yvM6FcGCEUWh301J\nYU5Kh1ldH+Sqx9a0sLkbdkzQTrad0U72qDk+xQhVBwMsq6xiWWUVgCNEgNSx1027DjktXFbfOYYr\nHvm3c15rOxREjZYiBYBdlrjAFhLEEjUU817fycXW0q9YEQKYcdhgxCAYMVdDAPjcqR0sQCgS1YVi\nNJosoFuuLkjVGcF+tKa4i4jpwI7UKSFxXzoRQqpzbJFBYpGaWJubQlEnJtsUih5RiODzuHWhGI0m\nC8i6O1kRuQx4GHADTyil7j3aOYpzzYSW3Rmhf69cTuqVQzhiEDFUi6IvicVcHq8o55VtewBYUbmL\nOy87nYevGc7tz7/dIiZrJ6rs+KvHTYsOuHZhGrvTbOw5c61rPXzNcDwu4Z4/b4srJO5xCRFDke/3\nEDWi9M73ku/3UFqQ/it/cb5PF4rRtImjDW/o8EJ6siomKyJuYDvwDaAK2ABMVkptSzY+XTysuTnC\nweYwEcMsqOJ1C0qZXRrBDCkYhhkjzfEKTSHDaU2T53PRFDKIKoVLhAK/i2BYEVWKSNSMlXpdZnuY\nSFQRMb7Y53EJCATChjM/mAVhCnJcNIcUIevaHrcLv0cIRgw8LvPOtDkcxWXNYzXFxSXmtaKGaU/v\nPB8ez5G/hBwnqwt0TLYL0U0dcpeKyZ4NfGQV70ZEngeuBJI62XTk5Hjol9P6X69Xfvrt9qJH7pHH\ntBe6UIxG0/lkm5M9CdgVs10FnBM7wGoTPgPg5JNPPnaWaTQW+j3Ydo7HurbZ5mSPiFJqPjAfzK9q\nnWyO5jhEvwePDd3FIWdbTPZc4B6l1Det7f8LoJT6ZYrx1cCnx87CjOgDHOhsI9qZbPidDiilLuus\ni6d4D2bD65KObLYvm22D5PalfQ9mm5P1YCa+xgK7MRNf1yqltnaqYe2AiGxUSo3sbDvak+74O7UH\n2f66ZLN92WwbtM2+rAoXKKUiInIL8E/MJVxPdQcHq9Fojl+yyskCKKX+Bvyts+3QaDSa9qBbKr6y\nlPmdbUAH0B1/p/Yg21+XbLYvm22DNtiXVTFZjUaj6W7oO1mNRqPpQLST1Wg0mg5EO9kOQkR2isg7\nIvK2iGy09vUWkZdE5EPrZ6/OtjMVIvKUiOwXkXdj9iW1X0weEZGPRGSLiIzoPMs7FxG5TEQ+sF6L\nu7LAnlb/HTvBtgEi8qqIbBORrSJye5bZlyMi60Vks2Xfz639g0RknfU3XioiaasuaSfbsVyklBoe\ns67uLuBlpdRg4GVrO1tZBCQusE5l/+XAYOsxA3j8GNmYVVgFjn6L+XqUAZNFpKxzrTqqv+OxJgLc\noZQqA0YD37der2yxLwhcrJQaBgwHLhOR0cB9wENKqS8DB4Eb0k2ineyx5Urgaev508D/6URb0qKU\neg2oTdidyv4rgWeUyVqgSET6HRtLswqnwJFSKgTYBY46jaP8Ox5TlFJ7lFJvWc/rgfcw65dki31K\nKdVgbXqthwIuBpZb+49on3ayHYcCXhSRSqugCEBfpdQe6/leoG/nmNZmUtmfrLDPScfSsCyhq7wO\nWfc+FJGBwFnAOrLIPhFxi8jbwH7gJeBj4JBSKmINOeLfOOvECN2IC5RSu0WkFHhJRN6PPaiUUiLS\nZdfPdXX7NSbZ8HcUkQJgBfCfSqnDdlcS6Hz7lFJRYLiIFAF/AE4/2jn0nWwHoZTabf3cj/nHORvY\nZ3+Ntn7u7zwL20Qq+3cDA2LG9bf2HW90ldcha96HIuLFdLDPKqV+n2322SilDgGvAudihsPsG9Qj\n/o21k+0ARCRfRArt58ClwLvAn4HrrWHXA3/qHAvbTCr7/wxcZ60yGA3UxXzdO57YAAy2ss8+4BrM\n1ybbyIr3oZi3rE8C7ymlHow5lC32lVh3sIhILmbHlvcwne2EVtunlNKPdn4ApwCbrcdW4KfW/mLM\nbOmHwL+A3p1ta5rf4XfAHiCMGXe6IZX9mO03fosZr3oHGNnZ9nfi6/YtzEpyH9t/967yd+wE2y7A\nzF1sAd62Ht/KIvuGApss+94F/p+1/xRgPfAR8ALgTzePltVqNBpNB6LDBRqNRtOBaCer0Wg0HYh2\nshqNRtOBaCer0Wg0HYh2shqNRtOBaCer0Wg0HYh2shpNJyMiRSJy8xHGDBSRa1sx18DYsoZdEREZ\nKSKPpDl+oogst54PF5FvteEaq0TkmHTF1U42yxGRP1pFZrbahWZE5AYR2W7VulwgIo9a+0tEZIWI\nbLAe53eu9ZpWUgSkdbLAQOCITrY7oJTaqJS6Lc3xz5VStuJqOKaAIXvpbEWKfhxRdWKrqnIxVScn\nATuB3pil114HHrXGPIdZmAbgZEy5Yqf/DvpxxL/x80AAU/E0x3q8i6mem2SNWQvUWWN+gOl0Xwfe\nsh7nWeMGAu+mudY0TBnoKkxF1X/HHPsjUImpUpwRs/8GTBXbemBBzPutBLPuwAbrcb61/0K+UHBt\nAgrT/N5XxGwvwpSrjgFWpprL/h0BH/AZUG0dnwTkA09Ztm4CrrTmybWu9x5mLZF1HCNlYqe/wfTj\nCH8guIcvJLp1mAWMn445flvMm35/zBvybczCFQWd/TvoxxH/xo5jBMZjltRzY5b4+wzoF+t4rHF5\nQI71fDCwMXGuFNeahimzLeaLD+6R1rHED/Ri4ESO8kMd+EuMwy0APClsucp+L1sOc5d17Vgn22Ku\nhNdrmm2Ptf0LoMJ6XoT54ZAP/BB4yto/FLNg+DFxsrrUYRYjImOAS4BzlVJNIrIKeB84I8UpLmC0\nUqr52Fio6QAuAH6nzBJ7+0RkNTAKOJwwzgs8KiLDgSgw5Ciu8ZJSqgZARH5vXXMjcJuIXGWNGYDp\nvE8AViulaq3xL8Rc6xKgLKY0YQ+rbOEa4EEReRb4vVKqKoUdfwceFhE/ZveG15RSgdhSh8nmSjie\nyKXAd0TkR9Z2DuYHwNeBRwCUUltEZEu6SdoTHZPNbnoCBy0Hezpmi4584EIR6WWVWxsfM/5F4FZ7\nw/oH1HRPfgDsA4YBIzHvBFtLYsESlfCBPgzzq3bOEeaxP9SHW4+TlFINSql7gRsx70rXWO/dlkaY\nNwOrgG9iftVfmmRMq+aKQYDxMTadrJR67wjndCjayWY3/wA8IvIecC9mXG435lei9Zif8jsxwwhg\nhg5GitnMcBsw65hbrGkL9ZixRjC/jk+yKvKXYN6BrU8YA+YH8B6llAFMxQwvtJZvWM0KczFbp6wh\n+Qc6mLHWo/pQF5FTlVLvKKXus85P5xiXAtOBr2G+3+NoxVyJr8s/gVutMoqIyFnW/tewEociciZm\nyOCYoMMFWYxSKojZlC8OEdmolJpvven/gJmwQCl1APOOQNOFUErViMgaa+nV3zFL623GvOP8sVJq\nr4jUAFER2YyZIHoMWCEi12E6p8ajuOR6zIRVf2CJUmqjiLwDzLI+0D/A/EBHmd097A/1WsxwVeyH\n+m+tr94eTEc2C/hPEbkIMDCTaH9PY8uLwGLgT8rsi5ZIsrli+8e9CtxltYj5JTAb+DWwRURcwA5g\nHGZzz4XW7/ceZoLvmKBLHXZBROQBzK92OZhv0tuV/kNqWoGITMNM+NxyFOcUKKUaYj7Un1JK/aGj\nbOxu6DvZLohS6kdHHqXRtBv3iEjsh/ofO9meLoW+k9VouiEi8k3gvoTdO5RSVyUb38G2fBUzJBBL\nUCl1zrG2pTPQTlaj0Wg6EL26QKPRaDoQ7WQ1Go2mA9FOVqPRaDoQ7WQ1Go2mA/n/GHIrYVHYmFkA\nAAAASUVORK5CYII=\n",
"text/plain": [
"
"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "k5mY7DgFyHfK",
"colab_type": "text"
},
"source": [
"Looks like a few outliers in age. No fancy stats method is needed here, just remove anything with an age > 80."
]
},
{
"cell_type": "code",
"metadata": {
"id": "1tLhZg8TyHfL",
"colab_type": "code",
"colab": {}
},
"source": [
"# Remove outliers\n",
"df = df[df.age < 80]"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "markdown",
"metadata": {
"id": "prXv3sdayHfN",
"colab_type": "text"
},
"source": [
"After cleaning and removing outliers, we can take a look at the overall descriptive statistics before moving on."
]
},
{
"cell_type": "code",
"metadata": {
"id": "X9-zLcEbyHfO",
"colab_type": "code",
"outputId": "3dd1e6cc-ff4f-4488-e3e6-8f641d61af39",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 297
}
},
"source": [
"# List basic descriptive statistics for all numerical data\n",
"df.describe()"
],
"execution_count": 118,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/html": [
"
\n",
"\n",
"
\n",
" \n",
"
\n",
"
\n",
"
age
\n",
"
new_user
\n",
"
total_pages_visited
\n",
"
converted
\n",
"
\n",
" \n",
" \n",
"
\n",
"
count
\n",
"
316198.000000
\n",
"
316198.000000
\n",
"
316198.000000
\n",
"
316198.000000
\n",
"
\n",
"
\n",
"
mean
\n",
"
30.569311
\n",
"
0.685469
\n",
"
4.872918
\n",
"
0.032252
\n",
"
\n",
"
\n",
"
std
\n",
"
8.268958
\n",
"
0.464329
\n",
"
3.341053
\n",
"
0.176669
\n",
"
\n",
"
\n",
"
min
\n",
"
17.000000
\n",
"
0.000000
\n",
"
1.000000
\n",
"
0.000000
\n",
"
\n",
"
\n",
"
25%
\n",
"
24.000000
\n",
"
0.000000
\n",
"
2.000000
\n",
"
0.000000
\n",
"
\n",
"
\n",
"
50%
\n",
"
30.000000
\n",
"
1.000000
\n",
"
4.000000
\n",
"
0.000000
\n",
"
\n",
"
\n",
"
75%
\n",
"
36.000000
\n",
"
1.000000
\n",
"
7.000000
\n",
"
0.000000
\n",
"
\n",
"
\n",
"
max
\n",
"
79.000000
\n",
"
1.000000
\n",
"
29.000000
\n",
"
1.000000
\n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" age new_user total_pages_visited converted\n",
"count 316198.000000 316198.000000 316198.000000 316198.000000\n",
"mean 30.569311 0.685469 4.872918 0.032252\n",
"std 8.268958 0.464329 3.341053 0.176669\n",
"min 17.000000 0.000000 1.000000 0.000000\n",
"25% 24.000000 0.000000 2.000000 0.000000\n",
"50% 30.000000 1.000000 4.000000 0.000000\n",
"75% 36.000000 1.000000 7.000000 0.000000\n",
"max 79.000000 1.000000 29.000000 1.000000"
]
},
"metadata": {
"tags": []
},
"execution_count": 118
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "yaZugOAOyHfQ",
"colab_type": "text"
},
"source": [
"I'll also visualize some aspects of the data. \n",
"\n",
"First, looking at the conversion rate per country we see that China sticks out quite a bit as these users tend to be very hard to convert. One possible reason is that marketing channels may be all english. If the company is interested in increasing Chinese conversion rates, perhaps they could look into translating some of the marketing channels to either Mandarin or Cantonese? Another feature to notice is that German users seem to be the easiest to convert. These points are particular poignant considering the comparison between populations (see 2nd plot below)."
]
},
{
"cell_type": "code",
"metadata": {
"id": "It0u2QIvyHfR",
"colab_type": "code",
"outputId": "f942adb9-f2f7-4232-cb29-ac02b0b4c440",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 369
}
},
"source": [
"# Display conversion rates per country\n",
"country_conversion_rate = []\n",
"for country in df.country.unique():\n",
" country_conversion_rate.append((country, \n",
" df[df.country == country].converted.sum() * 1.0 / \n",
" df[df.country == country].shape[0]))\n",
"\n",
"labels, ys = zip(*country_conversion_rate)\n",
"xs = np.arange(len(labels)) \n",
"width = 1\n",
"plt.bar(xs, ys, width, align='center')\n",
"\n",
"plt.xticks(xs, labels, fontsize=12, rotation=70)\n",
"plt.yticks([0, .01, .02, .03, .04, .05, .06, .07], fontsize=12)\n",
"\n",
"plt.title(\"Conversion Rate per Country\", fontsize=20)\n",
"plt.xlabel(\"Country\", fontsize=15)\n",
"plt.ylabel(\"Conversion Rate\", fontsize=15)"
],
"execution_count": 119,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"Text(0, 0.5, 'Conversion Rate')"
]
},
"metadata": {
"tags": []
},
"execution_count": 119
},
{
"output_type": "display_data",
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAZEAAAFPCAYAAACMFfMIAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nmVnTHETMzKxpDiJmZta0/w9vduAmnBaLnwAAAABJRU5ErkJggg==\n",
"text/plain": [
"