{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# LM Plot and Reg Plot" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Welcome to another lecture on Seaborn! This is going to be the first among a series of plots that we shall be drawing with Seaborn. In this lecture, we shall be covering the concept of plotting **Linear Regression** data analysis, which is a very common method in *Business Intelligence*, and *Data Science* domain in particular. To begin with, we shall at first try to gain *statistical overview* of the concept of *Linear Regression*." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As our intention isn't to dive deeply into each statistical concept, I shall instead pick a curated dataset and show you different ways in which we can visualize whatever we deduced during our analysis. Using Seaborn, there are two important types of figure that we can plot to fulfil our project needs. One is known as **LM Plot** and the other one is **Reg Plot**. Visualy, they have pretty much similar appearance, but do have functional difference that I will highlight in detail for you to understand." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Linear Regression** is a *statistical concept for predictive analytics*, where the core agenda is to majorly examine three aspects:\n", "\n", "- Does a set of predictor variables do a good job in predicting an outcome (dependent) variable?\n", "- Which variables in particular are significant predictors for the outcome variable?\n", "- In what way do they (indicated by the magnitude and sign of the beta estimates) impact the outcome variable? These **Beta Estimates** are just the *standardized coefficients* resulting from a *regression analysis*, that have been standardized so that the variances of dependent and independent variables are 1." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let us begin by importing the libraries that we might need in our journey and this is something you will find me doing at the start of every lecture so that we don't have to bother about dependancies throughout the lecture." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "ExecuteTime": { "end_time": "2021-07-16T15:12:40.433826Z", "start_time": "2021-07-16T15:12:36.712669Z" } }, "outputs": [], "source": [ "# Importing intrinsic libraries:\n", "import numpy as np\n", "import pandas as pd\n", "import matplotlib.pyplot as plt\n", "import seaborn as sns\n", "%matplotlib inline\n", "sns.set(style=\"whitegrid\", palette=\"hsv\")\n", "import warnings\n", "warnings.filterwarnings(\"ignore\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let us now generate some data to play around with using **NumPy** for two imaginary classes of points. Please note that throughout the course I wouldn't be explaining Data generation as that is a component of Data Analysis. With that been said, let us try to plot something here:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "ExecuteTime": { "end_time": "2021-07-16T15:12:40.555891Z", "start_time": "2021-07-16T15:12:40.440659Z" } }, "outputs": [ { "data": { "text/html": [ "
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total_billtipsexsmokerdaytimesize
016.991.01FemaleNoSunDinner2
110.341.66MaleNoSunDinner3
221.013.50MaleNoSunDinner3
323.683.31MaleNoSunDinner2
424.593.61FemaleNoSunDinner4
525.294.71MaleNoSunDinner4
68.772.00MaleNoSunDinner2
726.883.12MaleNoSunDinner4
815.041.96MaleNoSunDinner2
914.783.23MaleNoSunDinner2
\n", "
" ], "text/plain": [ " total_bill tip sex smoker day time size\n", "0 16.99 1.01 Female No Sun Dinner 2\n", "1 10.34 1.66 Male No Sun Dinner 3\n", "2 21.01 3.50 Male No Sun Dinner 3\n", "3 23.68 3.31 Male No Sun Dinner 2\n", "4 24.59 3.61 Female No Sun Dinner 4\n", "5 25.29 4.71 Male No Sun Dinner 4\n", "6 8.77 2.00 Male No Sun Dinner 2\n", "7 26.88 3.12 Male No Sun Dinner 4\n", "8 15.04 1.96 Male No Sun Dinner 2\n", "9 14.78 3.23 Male No Sun Dinner 2" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Loading Built-in Dataset:\n", "tips = sns.load_dataset(\"tips\")\n", "\n", "# Fetching preview of Dataset:\n", "tips.head(10)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Seaborn Lmplots:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Every plot in Seaborn has a set of fixed parameters. For **`sns.lmplot()`**, we have three manadatory parameters and the rest are optional that we may use as per our requirements. These 3 parameters are values for X-axis, values for Y-axis and reference to dataset. These 3 are pre-dominantly visible in almost all of Seaborn plots and in addition, there is an optional parameter which I want you to memorize as it comes in very handy. This is **hue** parameter and it takes in categorical columns and kind of helps us to group our data plot as per *hue* parameter values.\n", "\n", "Let me show you how it works:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "ExecuteTime": { "end_time": "2021-07-16T15:12:41.703829Z", "start_time": "2021-07-16T15:12:40.562731Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Basic lmplot visualization:\n", "sns.lmplot(x=\"total_bill\", y=\"tip\", data=tips)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "-" } }, "source": [ "Let us now understand what we see on the screen before we jump into adding parameters. This linear line across our plot is the best available fit for the trend of the tip usually customers give with respect to the total bill that gets generated. And the data points that we see at extreme top right which are far away from this line are known as **outliers** in the dataset. You may think of *outliers* as exceptions.\n", "\n", "Goal of Data Science is to predict the best fit for understanding the trend in behavior of visiting customers and our algorithm shall be always designed accordingly. You may find this a common scenario while applying Logistic Regression algorithms in Machine Learning. If you very cllosely notice there is this shadow converging at the centre where there is a chunk of our data. This covergent point is actually the statistical mean or in simpler words, the generalized prediction of tip value in this restaurant on a daily basis.\n", "\n", "In this case, looking at this plot, we may say that if the total bill is around $20.00, then it shall get a tip of around $3.00. Let us refine this visualization even further by adding more features to the plot, and for this purpose let us try to understand if a Smoker in general *tip* more or *less*:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "ExecuteTime": { "end_time": "2021-07-16T15:12:43.025595Z", "start_time": "2021-07-16T15:12:41.712620Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.lmplot(x=\"total_bill\", y=\"tip\", hue=\"smoker\", data=tips)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Somehow it refects that Smokers that you may see in blue are little more generous but not so consistent with their tipping mechanism as the data points are quite vaguely spread out. So, addition of the 3rd parameter of **hue** helped us visualize this difference in separate color plotting, and has also added a **legend** with *Yes*, *No* to conveniently interpret.\n", "\n", "Let us look into other commonly used parameters to customize this plot further:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "ExecuteTime": { "end_time": "2021-07-16T15:12:44.008005Z", "start_time": "2021-07-16T15:12:43.043174Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.lmplot(x=\"total_bill\", y=\"tip\", hue=\"smoker\", data=tips, markers=[\"o\", \"x\"], palette=\"Set1\", legend=False)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here, we set data point marker style, altered the coloring and decided to remove the legend which by default is always there. Right now, be it for a smoker or for a non-smoker, the representation is on the same plot so let us get it on separate facets:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "ExecuteTime": { "end_time": "2021-07-16T15:12:45.464046Z", "start_time": "2021-07-16T15:12:44.012892Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.lmplot(x=\"total_bill\", y=\"tip\", col=\"smoker\", data=tips)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There is a lot that you may experiment with by using different optional parameters, but in a shell, basic presentation with mandatory arguments remain the same. Let me show you one more on Tips dataset:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "ExecuteTime": { "end_time": "2021-07-16T15:12:47.895178Z", "start_time": "2021-07-16T15:12:45.470884Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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CIAj9HdchoFo7HDJpB9fBmbEnyYiQCYIg9HfKbwXlA6sFlAKrBRO/Pt4PECETBEHo7xTPgBGPgXMkWHXgHMkO/236eD8gI+H3gpAxQqVFe6ntKQj9juIZHYSrsWZ9Bo1JLrIiEwYOKgiBvYA/05YIgtAbygKrPaaXipAJAwPlB/9uvUcgCELWYpomBJvBvxOs1t5PQFyLwkDAaoNApd7sRlyKgpC1KD95zgaduI0CimI6TVZkQr8mzx0A/x5bxARByEqUgkAd+HYQ9NeiRSx2ZEUm9F8CNfae2KBMWyIIQndYbRCoBtXW50uIkAn9D2VpV6LVhFLBTFsjCEJXqAAEasFqIN4VWGdEyIT+hfKBvzKh2Z0gCCmiaSXUPg5WPRiFUHIuFE5N+LKyRyZklqaVsG0abD5E/02kGrfVpiMTRcQEIfto+htU/VCLWLAJ/JuhejG0rEn40iJkQuboorUEe7/bNzELNtlBHZIjJghZh7Kg/mlQzRCsAwJg5OuK/PVPJ3x5ETIhc3TRWgLDHX9riUCtHdQh+2GCkHUEm8G/A9reBivQ6ck8COxO+BYiZELm6KK1BEZB7K0llKX3w4I1JLpZLAwQkunKFnpG+cG/V3talA+cBwCdK3W0g3NUwrcSIRMyRxetJVCtsbWWUD67UkfiEU/CACGZrmyhe5SCYD34doDVSHh8ll2px61q069Rbfpx2ZUJ31KETMgcXbSWQPl6by1htYJ/lwR1CPGRLFe20D1Wu55gBvaxn6u/cCoMWQSOoaAa9d8hi5IStSjh90LmKJ4BPKZ/SPzb9Eqs/NaeW0sEGyBQBVjpsVHoP/i36pVYNPG4soXuURYEa/VKrKexWTg1KcLVGREyIbN0ai3RLUpBsNoeKOJKFPqA6xDtTjQKI8didWUL3RNs1vvUypsxE8S1KGQ/Kqh/gIJ1iIgJfaavrmyhazoEc2ROxECETMh2LK/eD7OaM22JkOt00SWZEY/1my7JaaO7YI4MIq5FIXuxWuz2K51zTwShj8Tqyha6JgkFfnvDwAcNz0PDL+GQd2M6JyNCtnr1ah577DHa2to48cQTufvuuzNhhpDNBOvtoI7Mz/YEYcCTxAK/3WI1Q+NvGe/5OVTXx3Vq2l2LO3fu5J577uHxxx/nlVde4dNPP2XNmsRrbQn9BKXAv09ETBgYZHuCtlI6Uti/Q9dITMWYDNZB7aOwfRrUPIjLqAdcUHxuzJdI+4ps1apVnHXWWYwYMQKApUuX4vF40m2GkI2ogN1+pSXTlghC/DSttFNJtuoIyd5SSUIJ2oa7Y4I2WbJvZ7XrCWWq3IiBSqh/Fhp/GymMYORR459G+djb9B5mjKRdyLZv347L5eLaa6+loqKCU045he9973vpNkPINqx2ez8ss9FPgtAnehIlhnV9TnSCNui0AMs+nkkhU8GonLAUrMD8O6D+KWh8EbCLfJvFUHIxlF1GxWd7KI9DxAAMpVRa/Td33303//rXv1i+fDkFBQVcd911zJ49m3nz5vV4ntfrZePGjWmysv9SYq5luHM5HmMPXnUAlYEFNFonZswewzDwuAKY1j6CQV/K72eaTgLGKPxZFD8yefLkhM6XsZF5xrmvxWVUY5EfPmbShl8NYbPvZ12eM8kzhwAlgBF1VOGkkY3eV1JrcBeYponb6cNUdQQDrb2fECceYztDnS9Saq7DMHTSdECVUh2YRW3wDCwK9ztn0tFTwVne67XTviIbMmQIU6ZMYfBgnWH/rW99i48//rhXIQsxadKklLsi169fn/CPS6pIyLamlbB3mZ4FGiPwqGZK1DIYMS7hGWCf7QrU2kV/yxK6f3ds/GQjk46cpH39zX+Cxj9A+f+D0vkpuV+spOI7NpDHRsbt2lytV2JGlCipfPKtGvB1M1nZNgFPoALMqMLZVgs4JzB5UurfS4fPTPkgUGOnuQxK7o3a/wV1T0LrG5FjzgOg7CqcxecywsxjRNTLw2M2DtIe7HHqqafy5ptv0tjYSDAY5J///CdHHnlkus0YmGRTrbl0Vq73fgJ7LoJ9t0L7O9CU/tmu0M/pSwHsbEjQVgoCdeDbCVYTSRuLSkHrWti9AHZfGBEx16Ew7AE46DUovRjMvKTcLu0rsmOOOYarrrqKiy66CL/fz4knnsi558YenSIkQLbUmlMBXRGg88BPNsFaDnD+DHb9H+EBWngmDH8gtfcVspt4gzJiofxWvSdmoceUao2IUk035/Sl1mgS8bhV8otvKwta/g/qnwRvlLvbcySUXQOFp4OR/PVTRvLIzjvvPM4777xM3Hpgkw215qx23QRTpXA/TPl1QmXdowx2NupjrnEw5C4oOAGcI3o+X+i/pCpSsDtRQu+fsbm6a9HMRIK2nRNmBneDKknSNf3Q/Beo+zn4t0SO530NBl0D+Sd2dLsmmZiFrKGhAYfDQVFRUcqMEVJMT7PGdBBs6rq9QzJpfQuq7wP/Zn1LVYhjyPeg9CIwpJDNgCeVkYKdRckWTZdhZU94fbDBLvAbwLKSMA6tdmj6o45CDOyJHC84FQZdDXlfSfweMdDryP7yyy+59dZb2bRpE4ZhcNxxx/Hggw9ywAEHpMM+IZlk0pURqNEhvanaD/PvgpoHoOU1+4ABJRfw+b4zOLwsc1GZQpaRTve6LZoWhl6NZDK83mqPKi2VhDFoNUPDb6DhOXufG8CEohlQdjV4JiZ+jzjoVcgWLlzI+eefz7nnnotSit/+9rfcddddPPvss+mwT0g26XZlKEuvwqzG1FzfaoP6X+gZYSgHLW8yDLkbPEcQ3Cdh6UIU6XSvh0Uzag8q3XvSKqgrZ/TWJyxWgrVQ/7/Q+Gs7OAR0FY5zYNBV4BqT+D36QK9C1tbWxoUXXhh+vGDBAn73u9+l1Cihn6D8OjIxFUEdSkHLSqh5UP8wATiG6xVm0ayU+uOFHCad7vWQaEbniaVzTzrYZLsRk7AfHaiA+meg8feR4BAjH0ouhLJvg3N44vdIgF6F7NBDD+WDDz7gK1/Rvs7PP/+cAw88MOWGCTlOKoM6vJ/pfbD2UGVsF5RdqX3y5v5JlYIQJp3udVs0TSxQ+enbk1Y+7Ua0WkjYjejbqj0eTa8QqcJRCqWXQOkCcCQ556yP9Cpke/bsYcGCBUyYMAGn08mnn37K0KFDmT17NgB/+tOfUm6kkGMEG+2iv0kO6gjWQe0j0PgCYTdJwTQYshBcByX3XkL/JV3udVs0/dsW6cToVO9JKyvKjZjg2PNu0knMLa8SFkPHUL36KvkPMLMr6K9XIbvlllvSYYfQX0hFUIcK6sKitcvsCtzoxMohd0HBScm7jyAkm+IZbPYNY/JRKa7UEWy23YgJ1ipte1/ngLX+I3LMeaD2eBSfC2Z2FnjvVsi2bNnC2LFjKSzs2lUj1TiEaJxOUyc5Jzuoo+1dqP4h+P6tH5tFMOi72rVhuJJ7r4FIKpKD+wu58Nkov+1GbKbPk0eltHDVPwnt6yPHXeNg0H9C0cysT13p1roHH3yQJ598kvPPP5+RI0cSXVu4ra2Nt956Ky0GCjmA5cVtVoOVxP2pQIUO5Gj+q33AgOJ5MPj74BySvPsMZLK9jUgmSfSziRLBce4h0LQ4uZ+pUrrJZaCGvrsRg9C8UrsQfZsihz1H6yTmgmkpqcKRCroVsgceeID6+nrGjh3L8uXLUUphGAZ+v59LLrkknTYK2Yy9Hxb0N/X8upY1UP80BHZFXBWFU/d/ndWuX1f/c1Dt+pjnGB1On3d0Yra2rNEVP6wmcBRn5ww7nWRrG5G+0t0Kqi8rq0Q+m04i6DKq9eO2y6D174mv8BLtE6Z80PQK49w/hcqoJOb8KbqMVP43Uhf1G+vvQJx0K2Q333wza9euxTAMpkyZEj7ucDg444wzEr6xkOMoSw8mq5FeXRota6B6sV11vxSCVfoxiyJfYqV0jbaaH0Fgtz7mGArlt0DRnMRnhiEbzEE6TD+wS1Yf2VJ7MwmUmGsjnR2iV1Btl0HD/8a/skrks+kkghb5evJU8yMd8NHX1W+ifcKsNh0+3/AMBCrwhIZUwWkw6NrEJ4q9EcvvQB/pVsiefvppQCdE/+hHP0roJkI/Q/ntor8xzgjrn7a/vKFeTfmR44VTwbcZqu+HtnX28y4ouxQGfSd50VFhG/Iilf9zefWRDLKh9maSGO5c3vUKqnaprq0Z78oqkc+mKxG06rUQ9XX1m0hOWLBRJzDX/y9YdfZBB/XBEykbcyt4xsd/zb7Q2+9AAvS6gyciJnSgL/lhgV16BtaBPPDv1PlgDb8m7OcvmArld4L74CQZ3IMNObr6SBqZrr2ZRDzGHjA6FYM2CvRKyDh0/+O9/XdP5LPpUgTb9SQqXjsSCeYIVOvVaMOvQbWEjIOSeVD2n+z6vIGydIkYdP87EPLAdMAAw6GFLwZyYydPyA6CjeDfHf+s0Hkg0B55rBRY+yC4Dxp+CQT1THfEkzDy58kXsa5sgJxdfSSN4hkw4jFwjtQzdedI/TgHV6hedUDX/cDM4vj7hEFin02nPmMmbTrqzyyL3Q6ldNNZ3474+4T5d0PVYtgxzd5rbtGiWXoFjFkNQxeDa3Ts10sWXY1B2sE5yv7/BhhuHK6h4BqlJwSO4tgunUw7hX6KUhCs7rtvvuxK2xcOWBYE9wC2GBoFMOg6KLs85tlXnwjZoNoz18QwG8lEG5EUUBlYoLudd15BDb5Jr0riWVl1Dg4Z8dP4PqNO1UP8agj55d+27Wjp3Y6+5oT5tthVOP4EBPQxs0xX4ChdAA57NWQHXIx3b4XdhyQt4KJXon8HyAO8gAsGfw8c5drtaubR6qvp2DU7BkTIhJ5JRr3EwqkQvEGH01tRXQaLzobym8E5LGEzY7KBRXbUYoOeYQ/0qMV+RKN1IowY13Xpqfyvxl6SKlkpCVEThM3r1zN52OTe7VA+HU4frxvRu9GuwrEqcp5jOJRdASXndyzbFhVwEaAIdxIDLnqlcCpwj67MYzWA6yhtY/H0hC8tQiZ0j9UCgUrdiK+vKB/UPwd1T0TE0DPJDqc/LilmxkzhNCieA86hOZMfI8RBd6vLeFad6exXFkIpu7RUHTHnhCkF7e9pAWt7M3LcNQbK/hOK53bt4egQcNEWCbxIQsBF9xiAqT/T0gtg0OVJT7AWIRO6JlBr9xlKpFrAG1D9Iwjs0Mcc5drVU3xuGoXEsPcnSrVrJcsrFAgZJt0pCcFmHVKvOu8ddYNSOhet7knw/ity3D1B54AVnamDJLojroCLRDAiEwIzX3+G2dAhWhggqKDdP6yXBOee8H1ph9P/0z7ghNKLdWkpR5Jaq/eKAYYH0zVCu3FkBSbEQjpSEppehbqntHgYbl1urbfVkApC86u6jFSoXBuA5zi7CscpsQmF80CdvxUKfQc6BlwkgqkjM0PiZeb1fkqSECETIsSbH9YZqxlqf2pHItruyPyTYMid4B6bNDN7xnZhOErALKTNVyUiJsROqlMSGldBzf16rFheoL3nPSrlg6aXdeNY//bI8fyTdNuivK/Ft9LpEHCBHuvKp4/HTZTLMLzyyoykiJAJmkT6hymLMsdq2PFbHd0I4BwNQ+7QVQPS0uTSYYtXSdZW6BZygFT2K7Paoe5Rve9suOxx0c0eldWiq3DUP63TVAAwoPB0vQLzTOqbDaGgp/qncbIVHPFGLUa7DAv0HlsWNLEVIRPAagV/BX0qPtr+MVTfy4Guj/XpRr4eaKVXpEFQQoOqRItYT3sDwsCjr9XrQ68JnVvzUMfjceJ0Gjo5OVgP3g963qMKNkDDr7RXI9SyCKcOUiq7KjmejcKpUDiVzz/ZyKRxsQiiCYZHV9kxC7JyoihCNtAJNuk9sXhFLFAFtf8DTS9GjhXN0j8WzhHdn5cUDHtAlejBlQUzQiHL6GsYfdNK2HcHeD/V5zpGJtYVINiE29gHQbvUWnd7VI6hOj2l4flIdK/hgeLz9IrJlYw9rHiw97sctnilMsczCYiQDVSUsguQxtkEU/mgYbneCwuVvXEfzpdNF3Po2PNTYmoEM7L6SuNGspCD9CWMPiR+gb2Aww582qm7jxvu+ELwLa8eW1YzwUBUDmbnpGDVZEct7ohEIZpFUHIxlF6axpZFof2ugsi/HOr3J0I2EFEBOzKxOb7zWv+hoxH9W/Vjs0yH05ecT+unm3o8NSEMty41JOHzQqz0JYw+JH4EIt8zFYRgpW4yGUsIvrLsnLB6uvRyhPaoah8F/5aOhQbMQVB2mRaxNET3GqbDdhlm135XX5BfhYGG1WYnOccR1OHfrvPBWt+wDzigZD4MvgEcZamwEr3/la/FS9yHA5e+7nP1JYw+JH6GR0fwYup/lje2EPxYSku1fwyNvwXfhsgxxwgYdJV2I5r53Z+bFEIh8vlY5ihwj0nx/dJDRoXsgQceoK6ujiVLlmTSjIFDoM5OcrZie73VDHU/05U58OtjeV+HIXeBZ0JqbDSckb0vcR8ObOLY5yox18K2WyOCV3BK/DUWQ+LnGB5J4kfp72RP51pePa6sFrp20ytofUvngLW9FXW/g+0qHHNSuAcVchmGAjUiIfK+ftT5IWNC9tZbb/HSSy9xyimnZMqEzNFbJ9v2TwCfnhl6jugwC91vwMYyQ1VWVJJzDPthzX+H2gdtF6Ites4DoPx2KDwjBaujkG++yF59Sd7XgCV6bATrwSgC1yD9XHf7XE0rOcj1IASKI4LX8L9QGurIvC0SRg+wbVrX4yeUQ2a4wTEaghWAD1wTYPiSTt2mt4P7aBj0bT1Gu5ocKgtaV3Oo+ydQsTly3H2EjuwtPD01kbYtb+pVn9Wkq9yXXQXFpyf/PllERn4x6uvrWbp0Kddee20mbp9ZwhvKFR1nmfsW67/ezTrs1mrVm8Dezfp408qoAdvp3KaV3d9P+XVbh1g6OQPU/xIqb9D+ez2dBaMYyhfa5W+SJWJ26LxjCLgPAtcBdgi9iNiApfPYsJp1DlWwIfKarva5ah7CwqX3esJNU326qaZ/a0cR62rshcZPdOsWw4L8r8PoV+CwjyIitve7up2RayIEd8PeG6DljY72qAA0rYCds2Hv9RSYtojlHQ8jfg4Hvth7Kam4sceTdxPUP6M/M2WB92PYe23PvxH9gIysyBYtWsRNN91ERUVFJm6fWbqLpgp1slVVhJvKYYFqAGNUOJclPGCjz+0umiqeJOdAjbah6feRY0YJOIcDQZ3bUpR4lWrZ+xK6pfPYMPNtt11lpAVJV3tV/q1YRLmhgw36HADXoRHBMot6j2TsqcBwzVJdysnM19dUPu2mCyUzW16djlL/lK5paNMUPI7i0bdA/vEJfTz700VJqD1X6w4TqSh6nMUYSqk+VoXtG7///e/54osvWLhwIS+++CLvvvtuTHtkXq+XjRs3psHC1DLJM4cAJWjfdQhFvrGZNjWOfGMLCjP8vEGQNjUWJ40AXZ7rpJGN3lfCRwzDwOPyY1pVBIO9iViAcserDHP+FoehI6gs5cKnhmBF5bo4aeZz3xN9ft+mw4VhlhBQBQSCTiwrxn26AcDkyZMTOr+/jg0HzbiNCkDRpsZh0o6Jnx3+23TbFptx7mtxGdXh72uesR0DHxZuvEoHM5i04TH20KYOpbfx0xVOp8nE/GsJBrz71SF10khtcAblzj/hMur1VZVBozWFqsA82tUhiXwsHTBNJ4YjD2UUEbQ8BIJmh7HU3e9LLO8xG4l1bKRdyL797W9TVVWFw+GgoaGB1tZWzj77bO68884ezwsN1kmTJuHxpDazfP369Qn/uHTLtmm2ayMqmspq0Ssn5wid4W/5Iisyw6Vngc6RALQ1byW/oLzjuc6RcPBq/VgpvfEcrKNXV2LrOqi+D/xf6Mdmqd3F1uzY2E616YTNUb/s9lIbP9nIpCM7VwkwtP3hyhvpdwCk9L9lAiTTrn49NvyVoJrBUkALYOnv0+CbYNgi/ZqmlXi3/yeevGLtevR+DJg6/yu8klPg+1Sv5jqPvejx0xXBRu3m33WRXumFWp+ogH5sNREJtXfpFiplV4FbC1jXYyNW4szv6u73pYv32J/GRtp/WZ599tnw/w+tyHoTsX5Fd0VJQ51sjVJgn90DTIE5pEPElNn8n913mVU+8O/rvQmmfyfUPGA34gMwoeQCGPz/oH2D3Um5Dd3Ftb0PRUVDhUSLI/sWgtATTSu1e9v3RaSihukC0w15M6Hpt+gtfZfeP66+V583bBEUz2CH/zbGFb2s98/MIh0kEhIxsF2S421RJLZIRqvdjkZsBRSUfdseGwG76G/UZNHI02Oo7IrwpLPvhCaAhdD6vm7Z4v93bM1gU130OEuRnfV0E72hbNXpvyMe0wNyxGPgGacTI80CcAzWj0c8Fvbd7/Dftv+5xTN0qSn/rp5FzGqF2p/AzrMiIpZ3vN58HvoDfb/CqTBkkV6BqUb9d0jv3WMNw7R/gMrt4I2RuryNiJjQG6EgCnzgtPOaAtv192nEY9DyF/R+kFN/nwynfly7NHyJRutEveIY9yWM+o0WQKtFr8SsFv1jPnxJ12OvszCooK6N6N/VMaTefbAdor8TLLsijpEPg66DMW/otJQ+i5hp7x0P0ZGG7oOhbT1UfleLmFEQW3BXd78v/Xh/DDKcRzZv3jzmzZuXSRMyQwKdbPWAvTFyQFm67mGwnm5diUpBy0pdyy1gB9g4hkP5bVA0c3+xsYuKxoZd99A5UnenFeES4iU6yMMEnGVaQBzlejxYTUDnPCtH95Vpeqtg3yl0PxyO75mkRclzRMcAKe9nUP9zaF5JOMzeUQ6ll0PpRXoF2CdMO0jDboPS2WVY86DeZlBVOsna8GiPTW+BG/F0xO4nSGWPXMby6vywnvqHeT+D6h/qtuigfzDKroSyqzvug8WNnWTpKAMzj3bfXhExoW/0Vk7KLLbde9E/Vz7AgM2HgOsQSsyzgcld52ICtL23f+4mRKIZXYfryeDeG6D8Dj2Ra/+XduuFK9qg96vLrtRdzvuUsB8Sr1Ax3h72u7yf6r05w6Hfu/KDVQlefx/um0L6Wn0liYiQ5SrBRr0S665qfbAOapfpxMjQLLLwW3qQukYncGPp+yUkmd7KSQ2+Se+JqQDgQItYEIzycD7YQa4HYV+9Xc3DF9UCpQW8G6D1n7oUlHNYxEVnlOq9OEcJ+Lbpah6qHfb+Pz1G/J9H2XioTmIumhl3MV3TYe93xSJe0Sgv4WAPfSV0Sk4PJbDSTV+7DCQZ2SPLBCF3xuZD9N84khWdTlNHcgUq6VLEVAAafg07zoDG5wELXGNh5DMw4qcJiJgjsv/lHCoiJmgS+C6HKb9Vu/I672mFVk3DFsGQ/7I9CH50MEQ5eA4OJ0BbuPSemeHWuZfYe2mGw47gNe2cTDth2izXogV65ePfbD+2gLaIiHmOhOGPweDboPFFPa52Xwota3p4Qwbg0FHAzpH4GaXbsDhK4xRB252qgvpzUaHxnkVjL9otHPpsQ50C0ogIWbrprrJHLD8AVjtucx9YDXS5H9b2DuyapyOrrAY9AyxfCKNXQMGJ+7++VwwdjeUcpjefneVxz0aFfkwi3+VoYglQGLYIJtbBEX5wHbhfsVuLPF29xr/L3lOzV22Y9l+HdsUbBXp/2CwC/w4I7LH3jQP266KiEF0TYNQf7R/mH+o+Ykap/lu9uJOYGdqN6SjXouU+FFzDwVFMINDHDKe8I8ExTAeuENR/HcMg74i+XS8V+LfqzzSa3roMpABxLaabvvRJAl2tIFBN0N+y/3P+PXY4/av2AUNX0h58kxafuAntf5UkuI8m9Gv6+l3uiu4CFLraf+nCFemkTv8f5SPigvOhf+Icdj7mQXZVjkrw7QR8ENja6YaGLR7lOmrXMHTlDsMdyR8jX9+j4XkoOiMSrJHsItfh2o+jsjeUvi9dBlKArMjSTbwzGBW0XYlddHG22qH2Mdg5IyJinuNg1O9h2A/jFLFQ7cNQ+PwIETGhZ/oyG4/HFdndiq/glI6uSH8lLmNfyKiQIejweAe4D9fucBUA73bw/RvUvqjXhnCBc7QOgaddB3aAXW4qD+0uLNErRvcE/YPtPkiPs1R0asiFUPre3MJpQlZk6SaeGYzVbvcO67S5q5TOA6tZoiuBgM73Kr8ViubEGT0YqhpQLLUPhfiIdzbeVWDA7m9rF5zVuH/EW3crvta/6x/0moeg7QNQDXZBppALT0VysgynXmG5D4Xmv9oV7UOvM3QlGyNPuwtx6ERq1daxCIBrgt4/cwzSY1G1aXFLJPE51ki/bA+l7y3VIU2IkKWbWDLvlbK7zNbSuT2Ex9gBFQ9B29v2EReUXQ6Dro0vn8Vw6s1oRzGp64Uk9GvirSLRWZisgE4s9jWBe+L+EW89heWHfih3zu30vFtP6owiOyDJBPcoaPxVJLgDQxcdcAyJ2vN16nJTqtEOsb8Wir6lk/qH3A6Vt+g9NateX8dw6uayfSFeQc92skBsRcjSTW8zGOW3e4d12gsLNkDdoxzm/jW02eJWcIoO5nAfHOPNjajVV7GsvoTEiHU2Hlp9tP5Dr5ScI3QEX7ASvbsRsCt2dNpjcx2i2xipBh2oYdoJwZ5x+ro1D+lzAXBqt7hZaJeV2m2Lazt4P9QvMUuh9BLd5NKq7xi4ZLrA/XVdTzTknQhF5hZPh7bzoOZH2tVv5OmVXMP/Qv5X4/8Rj1fQhV4RIcsE3c1ggnb/JRWIHGt+QwdyBLYDltYe18FQNBva3oWKK8B5oHaDFE7VkVT1T9uujwN18dLCU+22KcUSNi8kl95m400r9WpDNaEDMFrshq2H2EnOlvZAtH8AePRqKLTHVnCKzv9CAUGdH0YTtO7V/fv8W9ECNsh2CTaA/8vIvUPl2hxDdZ3Ekv/QAuU5RkcdAlAIpu2dKF/YfXWa1r/vX3DYXwm7L9JFAUJdqVv/3ru7sPNKszdBj5dot6VRorcLu1jp9alJb5YiQpYNKMuuWF9Ph7D6uqftenKRDeyAVYCz8CxoesmOpIoKB/aeEzluDgcMaPilrgJenIxeYoIQJ5V32HUJ7YK/obB4/zY6Bi8poF1HEbrtSvGtf9ciEazudNGArlbjPgpceWBV2T/ancPcHXryNuS/tZswROFUMH4IjS/ZvbuGwuBroPiM7t/HfuLToCedWDpZ2ru566RrHgOGdbxW571Fy058NqImmX0NYY92WyoH+DcBStew7GAT+3fVzuFVoAhZprHa7TJT7ZFjgUpdZ635z5FjZik4hhPwtuBsWK6jsDqEAwP1/6tbRzhHAqbdYbdKB4WIkAmZwP85uiBuqBuyYYfFBwhHFmLY/yz9OLQg8m/V46MDDr0CM0tsF3wj0NjFIsoEPLoQdsMvbSGz8yIdxVB2MQy6LPb30Vl8Qo07zXy9ilINRJKuh3dcVdEpObjz3qLh1J+JY3jkNX0NYY92WwZCn70B1j5wjo+yKc4mvVmOCFkmCdbr1hWhmanlhYZndX23kFvEyLNbWugwZwuP/Vx0uK9TvwYTzGF6cIciHY38tCcnCkL3ONAVK7zonx8T7XEICZoj0rjSdYhOcAa9WjHtruLBRtut2F2isZ07hh+MQXrf2THEzvXqo2u9s/iEBDYkPspLOOk6RHerqv32Fg/TqzvDaVfwSCBfLHrlaNk2YUT9HoRsUh27avdkbw4gQpYJVFDXSbSaAKW/vK2vQ/US3SIC9Ma1Uaqfj8rnMrGrE9CuB6lZaid5VmthNHZ29ONnIDlREMK4x+sSUOGagRa6TmIhWogswpMyFdQrN9fB2kUWrLWDk0r1j3ygDoJdCJhZgi/gxm22old6Lh1t6BgCjkI796tT9GO8dBYfs5AOPc8MjxaLaKHsaex13lsM72ttSyyEPXrlaHrsfcUot2WUTaZ3K9A/fitEyNKN1aJFR3l1YEbtY7rfUDhXzAmll8Kg7+gN8E5NLk38unhp61q9WiMA/i16Bjf4BrtoKtlbCUAYOISTnUNVNrA9DEN0u5S6J+z9L0fkdUYZFJwG+xbpyZyydLNNuujw4DoUhj2gU1X23K1XR0ZQeyGsJgi26rEz4rHkvJ9o8QntRYWa3BqlwF79t/OqqibOaydC9MrRHAbWDm2PY9R+yco9NunNMaSyR7pQQd292b9Hi1bTSqj8Pvg+jlr2e3Rx1CG3az9+5yaXzjFUcicMuxeG/ree5AZ27t+cM5srAQgDg9APvfKB8xB70mVqN9oBz+jv6gHP6N5fhgGGCXlfhQP+1w6Xt8D7Bfg+Y38RM6HkIjhoJeQdDYWnste4GwqO1yH1wUo93jwHp+7737nqhmecHruecZkde9F2GZauauI5Qv//aJt6atKbg8iKLB1YbXZAh1fPMJtegqpFRHJgXDq3BqeuPlB6YeTcwqk6fN4sAUcJ1R9tYrSZp4M3ugrgyILkREHotlmms7xjg8viGTrdxGrWXc5VO7S+aa8emjpd1IAh90HpufZjh3btOUqo9p7IQaNvSN/7i7a/A4vSa0NXxPgbsF+T3hxGhCyVqKBdoaMesKD9Qx027N1gv8DQqy2zXM9IlYqUnAL7hyBUfUP/p7Isi4yQBc3zhByit2aZobp8VpOd/G/pwI76p+2IwK4COeyJXtl8u6FrcTgaUqk+VJiX73S/QYQs2TSthNrH7coBBVByHngOh5ofQ/PLkdeZdhUCszjq5Had72G4IyHG2VB9I0ua5wk5wL7FOvfRqgd2aE+Dc6SONLSadBDCzgugaC4UfA1Qeg+s7hfQ/Ce6bRRr5Os9s+AeqLgRBl+X2HdPvtP9ChGyZNL0N6i6z967agK1G/bdqt0loX0w9xEw5C49C40O5DAsXfZm6J3dVxfIFMls1yH0X/Yt1p2cw8nPftsbYZdDM1yAA9rXQ9tbOqip/T1dADuEYziUXQE1/wOhCF2H7bEI1upqIIY7cdGR73S/QoQsWagg1D9lJ2ha2r8f2IuuZIAuUlp+k+4TFk4OXQQNy7WYuQ6F0qug+PQMvYEe6M1NJAhgV6Ex7VqEdi871QbWXrD84BwSSf4N1kDN/ZFzXWOg7D+heK4WmLr/tWsrmtrVaDXbLzS1+CQqOvKd7leIkMVKd/50pbR4Bet0h2bcdtRUc+RcowgO+lsk50QfhKIzdWCHo7jz3bKLLGmeJ2Q5ytL1PQ27W3Ngr+2J8ILzcKBFl6BSUVGI7gm6c0PhGZEJnpEHhSdB6zsQ2EbH/TIL2j/SrwnU9d1W+U73KyT8Pha6avC37w5ofFVvUAcqtdtDBSCwJSJiRqEe2J4jo0TMLpPjHAHu0dkvYpA1zfOELEX59R6Yc5TeG/N/qfPDlF1XEUOPi8COiIgZHnCNhwNX6HGy50rYdR7s+y9o/7duTWRVol2Und3sQX1t1dCxMWc8TTvlO92vECGLhQ7+dAtw6KKhey6Fpr9C08uw40y7aR/oklEH6oZ+EGnQFxIwVwoFLJ7BHCu50KlWSC/Kr1dEvl3g265XX0XfAqsBLV4WuvRUAL2iCiVEF9ol14ZA+S26tUvtMl2dxhwG3o1Qea392hI97sIJ0xCuz2igr2HXDSwx13bdTbq77798p/sV4lqMBf9WLUwYENyp/fvKB/ih8kYigzQPCqeDv0KLmnOY3V5lmg4XdgxObRBHKiOxJD9NUD7yPT7w79a5kZ2avjLYToCufw5dSzGEAZ7j7BVQvd248kooPAUqF+rvqtUK+LWgWZYWqLwjbWEq1O7EcESjA5wH6X04e09ruHN5/MEb8p3uN4iQxULeV/WA8m6yZ5yhQqcWYRErPBPKbwfXAVEnGjoPzDk4nAeWUiQSS0g2KqDdbnaysuWrAKt8/9cF66HhV9D4WyIi5oTiObonnnts5LUt/4SmV6D+WV25wxysE6ZDhIIuRvw0qlBvnhZCAy1ijlJtl72n5TH2gDGio03pCt6QfLSMkxEhe+yxx1i5Ui/5p06dym233Zb6m8bxZSsx18L2/9L7Xs4DdQfmtre0CwKI9AeDsKujda3uIus+DMqu1r2NHOW6nmLNA7oJpmrVr8UJxf8Bo3+V3PcokVhCMmj6G9Q/o/e6zFIouRAKT+76tYF9WpAaX4h0bMBAV7hHC1bTS/ZxZXdxLoVgmx3V6NV7Z1arPb6iqrQDlF6moyHD17bzK60W7do03PDvEbiMavBW6ms6hmuh6xy80dVvAOj9bu8m9IrPocs6DV8Smxj15AWxr31c3mewydR7grFeV4iLtAvZunXrePPNN3nppZcwDIOrrrqKVatWcfrpKQw7j8fl1vQaBxUsBysfrCB4/wXt70DeZDthM+ROCfVQsiOqVLv+F2yFhuf0PhgB229frTvjhglA069hJ8kVM4nEEvqK1a7Fofk1qPpv9I+6R0/mqn8ALNLl0kI0/AHqltnNJUOY6PFgt1CJdj0a+eAcroXLv11f3wIdzBEEq4IOqHbYdRGY9r6ycajdf6xauzadw7WbPlCrbQxV0rdawdoO1nAw3RGx6uo3YM8V+n2rJiJuSwt8G3VX61HP9i463XlBKu/Qn02wGt1GRYFvU+zXFeIi7cEeQ4cO5Y477sDtduNyuRg7dix79uxJ7U2jv2yGYeeh+HSb8nBQxCrt96/7GSrYaA+ONnRgRy00ryA8MM1idDV6B+GBa5aBa6yOWAxWQ82PIvdVjV3b1fTb5L5PicQS+kqgUu/91i4DAtqVZxhagAy3Lh0FeIwdsPtSqL4rSsRCkzoTPTcOEBExU6+QnCO0EAUqiIiGQSQwhMjrDY9OnlaNOow/NG5dw/WkLO8IXbPRUWY3snSgcNNhXq6aOwZvdPkb0GiPzVAvNJPw5FQ1hQNJesS/NbJ6DGEU6IaiViMYThQOO7XAjP26QlwYqk9FypLDtm3bmD9/Ps8//zwHH3xwj6/1er1s3LixT/eZ5JlDgBJCYbwOmnAblYBFm3EcDocHg1b2eucy0nycAEWAhcuox0kDht1CvcU6gvrgCZSab1NgfoqFG9OwUI4DdeJmoApDtdKmxuJEi1eAEgqMz7q17YP29/v0nrqjxFzLcOdyPMYevOoAKgMLdHFQIWuZPHlyQucnMjYATNMkz1FJMNDKePd19ve/Iy7qaFOHUeJ4L3zMUg4CqgzTaMYkgEFQj4lwEYBS7Uq0GrVIdtsI074eHqJD7U3aUThpU+OiXqU6jK18Y4sWCvs5Ays8/jZ6Xwmf1fk3ACDf2IwRLtxthK+h/9eFXw3tcI2uGOe+FpdRjRXq0g6YtOk9OyxUB6eXti+W6wqaWMdGxoRs8+bNXHPNNdxwww2cc845vb4+NFgnTZqExxNnl9dt0yLRTwC+zYBHRxU6R+hkZqvebpei8LVtxm02EalO79Buu9F/jkQd7r7UzmUJ2ImfduFTw6Wjspwj9esCFXYriq5wwhH+bp7rmvXr1yf8w5cKxK74SKZdCY2NEL7t2u23+1IIVumVmFL6ex2s1K6+ME47tcQBVm0nt7lbrz6cQ3W1m8A+Ou4pdyZaQDxRVW/sHmZGnq5VGsJq6Ti2ArtB+Qla4DCUdieGxt/BqyPndf4NAL0vFn5foVWZ/XNo5EP+1zteoyuiXZbRfb3MIruPmqVtM03CjUNjuW4a6E9jIyN5ZOvXr+fyyy/n5ptvjknEEiba5UaJncfi0cfC1QfywPsZ+DbgNusIi5hZpl0j5bd1DJ0ffIseZMEmHcmoAvYXtTTizgvd1yjp2q7i/0jt+xaEeCm7Eiyvdo8HvoTA9siPvXM0bcHR6DSUKl3AV/mJiJEtYM4DtTs+sJueRQy0eA1G75VZegypoB5PRgng1oLTvkH/DdR1GluloIL2ykp1HH/RdOV2N0vse4QEzCIsaEZxbC757vLRhi3R11d6pYqyXaixXleIi7QLWUVFBddffz0PP/wwM2fOTM9NOzSbC+r9AMtvJ1uiB41/q/a3h8vnmIT9+0P/O2qj29Qrt7LzYOh/gecQXUfRLNB5Yp5xHZrXMeIxyJ9sB2CEBrwTii9OftSiICSCCthdG6yOqzDXOBh0AwRbcZt70ZM8P3p/S6HrH5Zpr0WoFZHVqid6uAiPJSC8D2UUgHOsjgh2lsKQu3W0oGHof54jdG1SMy9knP4TmkyGxpZnHDgGY6l8PQ6jx180XQnOAc/Agb/RlXfCdrrAPSm+gIziGXqFNe5L/Tc09kONQ7Hfk/twCfRIEWmPWnz66afxer0sWbIkfOzCCy9k/vz5qb1x6MsVqIXGP+rK81arDvCw9hHecDY8tAcHkZdXrkXNURYRMcN2R5r5Ha8Zy30FIVux2nXx6rqfdeyHV3CKTiXJnww75oCqx8AEPIAtcoYBzsOAAl0XUTVBwTd7zqUKhcG3f6pXf4YHWv++f2j6NruQgGtUlK0tkbzIqLH10fr1TJ7Uizuqu7GYqvFp3+9fWerC60+kXcjuvvtu7r777nTftiOFU8F7AdQ/EbUCM3SJHEc5VjDkN8+zB3Yosbk8yocfhSRECrmK91PY/i07mhDA0Mn9g67puDfl3wIEtZss5HYP5YQ5h+t9MmM4OI/tff8nNDb2XKGjh60WXXB7zxV6FRN6XvIihRgZeJU9/Dth3+3Q8rfIMcdQu66b6lRCql33D3OO6L42YqrKQok4Cumg9W1bxFy6hUrZVeA+pONrWtYQCXzCdgsO1a5H/3ad1xXao/LtgM8G6VWW54juv7f77ojkWBG0Cw+3QcV3oHirfo3kRQoxMnCKBjethM3jYOtXIiJmeMB5iM4LC9brCt6hFZry6hln+c09F/jtKj/FcCeWK9JVtf2eCqAKQl8puxyG3Af5J+rqNVX32MJl07IGKm+2H4QicofofebAXvQ+mZdIblir7gQdrAXv5u6/t77P7f8TKipsB1wEtkVeL3mRQowMDCFrWgkV14Ffh8NqTO1KNAvsqgN2zotjKE7DB55jYOgPoXh6z9fuNiFyW9/tTYU4CkJXNP9NJ+arFh3xF6zS+8cta/S/6sV65eUYqavVWC16FRZ2yYfarET/lCjtglcNvXxvoxOjQ/+IvF4q1AsxMjBcizUP6Qgq54FR+R2GzoFxhELj83SW/6g/8cXnVRxx0AmxXTsV7g/ZGxDSRWjSZBSA0QqhxF67kgfmIHAVaSHxbwNl2Xpjl6MyXHYIfjR2JKPydv+9dY0H38ddGJTX8fUSLCXEwMBYkfm36lWNc7gu6mvYSaPKF/WidnAfCa5RtPvzurxMl6TC/eE6JKpIqo3sDQipoCuPAnnadYidyxXYocPxO5SSstA1BEN5ZFErKgz9vOHp/ns7fAkdm2YagAMcQ+R7LsTNwBCyzsLgKCfcIFOpqP2w74NZQFzFTlLh/pC9ASFddDVpMl2Q/1VwHAC+f3Wa8HUmOiE66m/n4gCdKZ6hc8cMD+DQYuoY0bHQryDEyMAQss7CYDhtl8kYwAueY2PbD+uOrhIiE0H2BoR0ERobqhWUExyDtJu87AoYfJ0tYkGiaxRGsMtKkacjf81ioFT/7VwcoCuGLYIDX9R5Z86hvb++v5KKru4DjIGxR1Y8A3hM7wdYTXrQld8BhafqCCxHWaYt3B/ZGxDSQfEMwAl1T4BRpfPCBl8PxWfq5z1HgHcDHQv+hkTNpatiWHV6EtfX+w/k73kqu7oPIAaGkEHHyh7Bav3FcQ6PVOkQhIFK8elQdCpddjEftgR2zdNBHh3aszjteqWyd5sQ0tU9KQwM12JnjHxwHSAiJgghuhIx0D+m5Qt1m6LwSixUL7GLPTBxk8VHKtJ3BiADT8jMPF27LVQwWBCEngnvZZ1MQA3We2BdFeiVRP74kQjlpDAAhazAnl0KghAzdkDTx97XYGIdTNy7f2CTJPLHj0QoJwX5RRcEITmImyx+JEI5KQycYA9BEFKLFPntGwM9cjMJyIpMEITkIG4yIUOIkAmCkBzETSZkCHEtCoKQPMRNJmQAWZEJgiAIOY0ImSAIgpDTiJAJgiAIOU3O7JGFWqv4fD21lEgeXq83LffpC9lqm9gVH9F2ud1uDKOrCvO9I2NDk612Qfbalgt2xTI2DBVX863M0dTUxOeff55pMwQhJUyaNAmPx9Onc2VsCP2ZWMZGzgiZZVm0tLTgcrn6PHMVhGwlkRWZjA2hP9OvVmSCIAiC0BUS7CEIgiDkNCJkgiAIQk4jQiYIgiDkNCJkgiAIQk4jQiYIgiDkNCJkgiAIQk4jQiYIgiDkNCJkgiAIQk4jQiYIgiDkNCJkgiAIQk4jQpZGHn30Ub7xjW8wd+7cDv82bNiQ0vvu2rWL4447Lu7zpk2b1uXx3//+9/z6178G4Pnnn+fnP/95QvYlyjvvvMOsWbNSfp8XX3yRa665JuX3GWjIuEgN77zzDkcffXT485w9ezaXXnop69atC7/mrrvu6vA4V8mZNi79hbPOOotFixZl2oyEWL9+PePGjQNg/vz5GbZG6A/IuEgNBx10ECtWrAg//uyzz7jyyit5/PHHOeaYY7jvvvsyaF3yGDBC1tLSwsKFC9m+fTumaXLkkUeyePFiTNNk9erVPPHEE/j9fvLy8rj99ts57rjjWLhwIa2trSxbtozNmzdz6aWX8qtf/YqxY8eGr/vFF19w880373e/Sy+9lHPPPTcuG5944glee+01LMti1KhR3HPPPQwfPpwFCxZw5JFH8uGHH1JbW8sFF1xAdXU17777Lm1tbfzkJz9hwoQJfPjhhzz00EP4fD6qqqo44YQTuP/++2O+TyysWrWK1atXs3btWvLy8qitraWuro5FixYxbdo0Zs2axdtvv01DQwNXXXUVH3zwAZ988glOp5MnnniC4cOHU1lZyeLFi6moqMDv9zNz5kyuvfba/e514403sn379g7HDjzwQH7605/G/JkuWLCAiy++mDPPPHO/x0cddRRXX301a9euZd++fVx11VVcdNFFADz55JO89NJLOJ1OxowZw5IlSwCoqqri6quvpqKiAofDwY9//OMO34dcQ8ZF7/eJhVwZFxMnTmTBggU899xzLF26NDweJk2axOWXX87UqVP56KOPaGxs5NZbb+X000/n0UcfZffu3VRVVbF7926GDx/OQw89xLBhw7q1edeuXVx88cWMHTuW3bt3s3z5coYNGxbTZ9kn1ADhpZdeUldccYVSSqlAIKDuuusutW3bNrV161Y1a9YsVVtbq5RS6vPPP1cnnniiamlpUS0tLWr69OnqxRdfVDNnzlQrVqxIyIZHHnlEff3rX1dz5swJ/3v00UfD9n3ve99Tfr9fKaXUCy+8oK666iqllFKXXHKJ+u53v6uUUurDDz9U48ePV6+//rpSSqn77rtP3X333UoppW666Sb19ttvK6WUam5uVl//+tfVhg0b1M6dO9Wxxx7b6306c+qpp3Z5/Pbbb1dPPfVU+D394Ac/CL/+/vvvV0op9Ze//EVNnDhRbdq0SSml1He+8x31xBNPKKWUWrBgQdj+9vZ2tWDBAvWXv/wlzk8zwttvv61mzpzZ5XOXXHKJWrlyZZePx48fr5YvX66UUmrDhg1q0qRJqr29Xf3f//2fmj59uqqvr1dKKXX//ferxx9/XP3xj39Uxx9/vNq2bZtSSql7771XLVy4sM92ZwMyLgbeuHjjjTfUWWedpZSKjIedO3eq8ePHq9WrVyullHr11VfVKaecEn4vp512mmpqalJKKXXNNdeoZcuW9Whz6Hrvvfden+2PhwGzIps8eXJ4BnLCCSdw2WWXMWbMGH7961+zb98+Lr/88vBrDcNgx44dTJw4kaVLl3LBBRcwZ84c5syZs9914515dudCeeONN9iwYUP4HMuyaGtrCz9/+umnAzB69GgAvvnNbwLadfDuu+8CsGTJEv7xj3/ws5/9jC+//BKv10traytlZWUx3ydRpk+fHrZzyJAhTJw4MWxnQ0MDra2tvPfeezQ0NLBs2TIAWltb+eyzzzjrrLM6XCsZK7LeOO200wA48sgj8fl8tLa28tZbb3HmmWdSWloKwMKFCwG9R3b00UczZswYAA4//HBWrVqVNFsygYyL2O6TKNk0LgzDIC8vb7/jLpeLqVOnAnDEEUdQX18ffu5rX/saRUVF4ed6s/noo4/G6XRy7LHHxmRTogwYIRs9ejSrVq3inXfe4e233+bb3/42ixcvxrIspkyZwk9+8pPwaysqKsLL4K1bt1JWVsamTZvw+Xy43e4O1z3ssMM6+KD7imVZHVxbPp+PhoaG8POd7+tyufa7xiWXXMKECRP45je/yYwZM/joo49QndrN9XafRIm2sysbLctCKcULL7xAfn4+ALW1tV12gH3kkUeSYlP0Z+D3+zs8F7pvqHGfUgqHw9GhkV9jYyONjY0AOJ2RIWMYxn6fb64h4yK2+yRKNo2LDRs2MH78+P2Ou1wuTFPH/3VuZBktfKHvfU8219XV4Xa7O4yXVDJgohZ/85vfsHDhQk466SRuvfVWTjrpJD799FOmTJnC2rVr2bJlCwBr1qxhzpw5tLe3s2vXLu677z6eeeYZDj30UB5++OGU2XfSSSfxhz/8gebmZgCWLVvGbbfdFvP5jY2NbNiwgVtuuYXp06ezd+9eduzYgWVZSb0PgMPhIBAIxHVOiKKiIo499lieffbZsN3z58/n9ddf79P1emPw4MFs3LgR0KuEf//7372ec8IJJ7Bq1arwZ/Too4/y3HPPpcS+TCPjIjn3gdwYFx9//DHPP/88l112WcLXSvdY7okBsyI7++yzeffddznrrLPIz89n5MiRLFiwgNLSUhYvXsz3v/99lFLhzVePx8PNN9/MlVdeyfjx41m0aBGzZ8/mhBNO4JRTTkm6feeffz6VlZVccMEFGIbByJEjwwEGsVBSUsLVV1/NOeecQ0FBAcOHD+crX/kK27dvD7tdknEfgJNPPjnuc6J5+OGHuffee5k9ezY+n49Zs2Z16Z6Khy1btuwXSv2Pf/yD6667jjvuuIM1a9Zw6KGHcvzxx/d6ralTp/LFF1+EI88OO+ww7r33Xl577bWEbMxGZFwk5z6QneNix44dzJ07FwDTNCkqKuLhhx8OuzYTpTubd+3alZTrx4qhct03IqSMadOmsXr16kybIQhZhYyL7GPAuBYFQRCE/omsyARBEIScRlZkgiAIQk4jQiYIgiDkNDkjZEopvF5vzuftCEKykbEhDHRyRsh8Ph8bN27E5/Ol/F6ffPJJyu/RV7LVNrErPpJpl4yN7LULste2/mRXzghZOmlvb8+0Cd2SrbaJXfGRrXb1Rrbana12Qfba1p/sEiETBEEQchoRMkEQBCGnSamQNTc3M2vWrHC5knXr1jF79mymT5/O0qVLU3lrQRAEYYCQMiH76KOPmD9/Ptu2bQO03/POO+/k8ccf569//SsbN25kzZo1qbq9IAiCMEBImZD97ne/45577gm3ffj4448ZM2YMo0ePxul0Mnv2bF599dVU3V4QBEEYIKS8RNW0adP45S9/yYcffsjf//73cMuHdevW8dRTT/HMM8/EdB2v1xtuxyEI/YnJkycndL6MDaG/EuvYSFsbF8uyOjRrU0rt17wtFiZNmtRls7lksn79+oR/XFJFttomdsVHKuwayGMjW+2C7LWtP9mVtqjFESNGUFVVFX5cVVUVdjsKgiAIQl9Jm5Adc8wxbN26le3btxMMBvnzn//MySefnK7bC4IgCP2UtLkWPR4PS5Ys4YYbbsDr9TJ16lTOPPPMdN1eEARB6KekXMiiO6lOmTKFV155JdW3FARBEAYQUtlDEARByGlEyARBEIScRoRMEARByGlEyARBEIScRoRMEARByGlEyARBEIScRoRMEARByGlEyARBEIScRoRMEARByGlEyARBEIScRoRMEARByGlEyARBEIScRoRMEARByGlEyARBEIScRoRMEARByGlEyARBEIScRoRMEARByGlEyARBEIScRoRMEARByGlEyARBEIScRoRMEARByGlEyARBEIScRoRMEARByGlEyARBEIScRoRMEARByGlEyARBEIScJiNCtmLFCmbOnMnMmTN54IEHMmGCIAiC0E9Iu5C1tbVx3333sXz5clasWMH777/PunXr0m2GIAiC0E9Iu5AFg0Esy6KtrY1AIEAgEMDj8aTbDEEQBKGfYCilVLpvunz5ch566CHy8/P56le/yqOPPophGD2e4/V62bhxY5osFIT0MXny5ITOl7Eh9FdiHhsqzWzatEnNnTtXVVdXK6/Xq2644Qb1i1/8otfz2tvb1fvvv6/a29tTbuP777+f8nv0lWy1TeyKj2TaJWMje+1SKntt6092pd21+OabbzJlyhTKy8txu93MmzePd999N91mCIIgCP2EtAvZxIkTWbduHa2trSilWL16NUcddVS6zRAEQRD6Cc503/Ckk07i008/Zd68ebhcLo466iiuvvrqdJshCIIg9BPSLmQAV199tYiXIAiCkBSksocgCIKQ04iQCYIgCDmNCJkgCIKQ04iQCYIgCDmNCJkgCIKQ04iQCYIgCDmNCJkgCIKQ04iQCYIgCDmNCJkgCIKQ04iQCUI06e9qJAhCgoiQCUKIYANYDZm2QhCEOBEhEwQVBH8FBPZl2hJBEPpARooGC0LWYLVqAVO+TFsiCEIfESETBiZKQbBW/0P2xQQhlxEhEwYeyq9XYVZLpi0RBCEJiJAJA4tgMwT3gQpk2hJBEJKECJkwMBBXoiD0WyRqUej/KD8E9kCwBhExIak0rYRt02DzIfpv08pMWzQgESET+jV5bgv8u2U/TEg+TSth73chUAHmYP1373dFzDKACJnQfwnUYgQrJLReSA01D4HhBrMQDMP+69bHhbQie2RC/0MF7KjEZixLgjqEFOHfqldi0RgF4N+WEXPSjlJawLMAWZEJ/QurDfy7wGrOtCVCf8d1CKjWjsdUK7gOzog5aUMpXc4tWJ1pS8KIkAn9h2C93g8TV6KQDspv1d81q0X/uFst+nH5rZm2LHVY7XqMBSpBWZm2JowImZD7qCD490KgCsiewSX0c4pnwIjHwDkSrDr9d8Rj+nh/QwXAvw/8O/dfhWYBskcm5DZWuz079GbaEmEgUjyjfwpXCKXAatSpK1lcRCAjK7LVq1czb948ZsyYwQ9/+MNMmCD0B4INtitRREwQkk5ovzlQmdUiBhkQsp07d3LPPffw+OOP88orr/Dpp5+yZs2adJsh5DLKAn+l3XYlmGlrBKF/EXYj7gLVlmlrYiLtrsVVq1Zx1llnMWLECACWLl2Kx+NJtxlCrmK1221X2jNtiSD0L5TSjWWDtVm/AutM2ldk27dvJxgMcu211zJ37lx+85vfUFpamm4zhFwk2Gi7EkXEBCGphN2IuVlQ21BKpbX43N13382//vUvli9fTkFBAddddx2zZ89m3rx5PZ7n9XrZuHFjmqwUsgmn08BtNmEF6lApDvl1uEfS6nWn9B6dmTx5ckLny9gQ+ooeW82oYH3cxQMcrsG0+UtIpYTEOjbS7locMmQIU6ZMYfBgnRH/rW99i48//rhXIQsxadKklLsi169fn/CPS6rIVttSZlc4KrEIGBn36Rs/2cikIyf1/kIVhNY14PJA8cz47YyTVHxeA3lsZKtdkL22fbrhbY6YMMweWyPiv4BZCq7hSberL59X2l2Lp556Km+++SaNjY0Eg0H++c9/cuSRR6bbDCEXCCc4pzgqsXUt7JoHe6+DnXMkoVro31ht4NuFCuzNSTdiV6R9RXbMMcdw1VVXcdFFF+H3+znxxBM599xz022GkM2oYLhWYkrbrng/0wVe296MHCu7EnCl7p6CkCmUHwK1Oi8MlXI3fTrJSEL0eeedx3nnnZeJWwvZTjoSnAOVUPsTaHqJsFDmfRXKb4Oib2VNIVRBSApKae9GsJb+mq4Ss5A1NDTgcDgoKipKpT3CQCbYAIFqUjbYrGao+wU0PBeJfHQdCuW3QME0ETCh/2G1QKCm30f69ipkX375JbfeeiubNm3CMAyOO+44HnzwQQ444IB02CcMBJSlBcxqICWuROWHxt9B7WNg1epjjiEw6AYoOQ8MqdQm9DOUXwuY1cRA6Irea7DHwoULOf/88/noo4/417/+xRlnnMFdd92VDtuEgYDVbrddqSfpA04pis13YOcsqF6sRczIh0HXw0F/g9ILRcSE/oVSeh/MtyO8FzYQ6HUUt7W1ceGFF4YfL1iwgN/97ncpNUoYIATr9awxFa7E9g+h5kHGuNeDH8CE4nNh8A3gTH7IsCBknGCzXdx34NUe7VXIDj30UD744AO+8pWvAPD5559z4IEHptwwoR+jgrrlSircHv4dUPNjaHk1cqzgFL0P5h6X3HsJQjagfLYbMcVRvllMr0K2Z88eFixYwIQJE3A6nXz66acMHTqU2bNnA/CnP/0p5UYK/YhURSUGa6HucWh4AXsJBu4j2Np8AYeMnZ/cewlCNqAsCNZpz0Y/jUaMlV6F7JZbbkmHHcJAINhoN7/sYtC1rIH6pyGwC5wH6nyuwqm9X9Nqh4ZfQv2T9owUcB4Ag2+Colm0fPppUt+CIKSdppU639G/FVyHQPlCKPiG7UaU5H3oQci2bNnC2LFjKSws7PJ5qcYhxExvUYkta3QwhuEGoxSCVfoxi7oXM2VB8ys6HyxQoY+ZxVB2LZQuAFM6KggZJEp8xrmHQNPivjXgbFoJe7+rx4Y5TLvlq+6xJ3rfTL7dOUq3Qvbggw/y5JNPcv755zNy5MgOhSHb2tp466230mKgkONYXruidg99jeqftkUs3z6QHznelZC1vgU1D4IvtNpyQelFMOg6cAxKpvWCED8dxGcwLqNaP+ax+MWs5iEwPOAYCWae7UqshPpfiJBF0a2QPfDAA9TX1zN27FiWL1+OUgrDMPD7/VxyySXptFFIN/u5Mm7t22wy2BRb88vALr0S60AeBHZ3POT9t11S6p+RY4UzoPz74DoofvuiaVkLTa/oHwkzr+/vWch9Ev3+1zxki5j2Zlnkg6H08Xi/U4F94DwEVAt4N0Fwn95f9u/SnoxY3O/JJNgIzX+BppeBIIz5P3AOS68NXdCtkN18882sXbsWwzCYMmVK+LjD4eCMM85Ii3FCBug0myRQEf9sUikIVtub0DFEUTkP1O7E0EoMgHZwjtL/N1AJtcvsklJ2fbi843VJqbxjYn1n3WBC+8dQ/1Sk+kGgru8zaCG3Scb3379VnxuNUQD+bfHZonzgHg++z+wKHRWAYf8ze3e/JwtlQdvb0PRHaFkVFajl0CvEbBayp59+GtAJ0T/60Y/SZpCQYTrNJjEKtXbEOptUPt0mXbXGfs+yK+1BCZAHtOvrlFysBaz+maiSUofYJaVOS7CklKn31BylsPcGnSzd1/cs9B8S/f6D/o4GKvS5IVQruA6O7XylbBdiHRTNgOr37NJtEJ4YOofpZP7u3O/JwL9TTx6bXoLAnshxowCKzoSyq8AzITX3jpNeoxZFxAYYfZxNGoahXYnBqvhbQxROBRbZUYu79X6AZzzU/EBHZgE4ymHQd6HkfDASqU7vAEeJFjDDbqDp+yw5M2gh90nGaqr8Vr2Ks/S5Jm2gTH28N6w2LVqhPeXQ2Nj7XdsWtx4LZrFdxWN3t5fqE1YbtLwGjX+E9nc6Ppc3GYrnaREzi3Q/sixB6vMIHenLbFJZ5LuaIbCXPidkFk6FgpOh9XWoeRga39PHjTwo+7ae/ZkJFKw2nHrgOUr3L0uV6Axa6D8k47tQPAN4zN5n24ZfDSF/RC9RiyoQlRPWaQwVToW84/Qk0ejG/Z4ISoH3I2h6Ue9/hdJYABzDoPhsLWDuQxK/V4oQIRM60mk2iWrVbr7uZpN2gnPQX02fusyGaP8Yah6A9vftA6YePINvTKiklMNZAI6hehVmOLp+UbzvWei/JOu7UDwjLFyb169ncnE3HY9DLVasup49Gd2538uujM+uKJzUQd1TWsD8W6KecUHhNF3SreCk7sdNFiFCJnSk02wS18FdR22F/fi1hAMw+oJ/J9T+DzT/NXKs4GQYfEsC/nfDdsGU4bVawdlLSH6s71no/6TzuxBs1uMnlhYr0e537xeAT3/H65+Oej4GlB9a10DjH5jgWQO1UWPXPVGLV/EscAzu/hpZiAiZsD9Rs8ku6UtAR2eC9VD3BDT8muiSUpTfBgVTejqzBwztinSUaTekYRAMxli6p7f3LAwcUv1dsLx679dqIS5XfEisqhfb6Sp5sRUPAPB+rldeTSvCrYwMAzDLoGgWlMwDT+4WuRAhE+Ij1tyw7rC80PgrqPuZ3WYCcI6Ewd+Dojlg9NpZqAsMMAtsAeu6Eo0gZBwVjNoH66MXI57iAeGcrz+Cd0PUEwbkn8iOhq9z0MTLI0FPOYwImRAbytKzyFhzw7o6v/nPdkkpO9LKLIKya6D0sj6WlDL1NRylYOb3/nJByACmaWpRCVbHH9Hbmd6KBygL2t6Bpj90yvkCnAdBybk6eMM5gsa6jf1CxECETIiFWMpM9UTb21D9IPg+sQ+4oHS+XVKqL754O4TeLJGaikJ2Y7WT56yFQBFJabHSXfEAsxxqH7VzvqJC8o18HS5ffK4uIpBQ7mX2IkIm9EywwU7G7IMr0bdZh9K3/j1yrPBMu6TUmPivZzi1T99RmhORVMIAJsqNGPR3Uyy7L0RHLyo3qBrtolde8H0UeV3eV7R4hXK++jkiZELXqIDd/LIPzfoC++zZ4R+IlJT6CpTfDnnHxm+L4YoSsL7soQlZT7Lqe2YapXTD2GS4Ebui4GQouQQanrFXZlFjM0dyvlKBCJmwP1ar7UqMs9eR1aI3neufibghXQfrUPrCb8Xv1rBD6DFLRMD6M8mob5gNWK26U3NfXfA9EajSEYc95nyduH+y/wBhYL7rXCNZvY1iIVBrl4WKYRUWaobp38lhbmB7cyQS0RwMg78LJRfEWVLKsNtWlOkyPP3Upy9EkYz6hplE+bSA9cV70eN1Qzlff9R/o9377ol65VU8O+dyvlKBCFm2k8zeRj2hAnoVFl2epida1kDVDwBdWifP9NleRJf24w/6zzh984bemHaUhnPAhAFCsqrFpxsV1FG8wXr6nI7SFb7NWryaX4nUGgVdYq1ods7nfKUCEbJsJ5m9jbrDatOtUuJxJdYuA6smXJVAKTDMInAfBuU3xXFzyQEb8CSz1mW69tqCTVpk4nW/d3u9nnO+KDlXd3yQKN0uyaiQPfDAA9TV1bFkyZJMmpHdpHK22pcyU/6dULs0KpQeMIpot0rJd5bqTe6YMLVwOcokByzbSZZruzuRSVZ9w2TutXVnq9VuV+VoJWE3Yq85X/PsnK+Rid1nAJAxIXvrrbd46aWXOOWUUzJlQm6QqsrsymdHJbbE9vpgg67G0bCccEkp3HqQmUWoYBuxVeM2dfCGo1Rml7lAslzbvYpMEuobJmuvbT9b98K+Rdr97jmchGqLgt3n6+UBm/OVCjIiZPX19SxdupRrr72Wzz77LBMm5A6J9DbqjniqDCgfNIRKSjXoY44ResA1r9L5XEph4gVl9FCN26HFy1GaYD8xIa0ky7Xdm8gko75hsrwX0bYahWCOhOA+qP4RjHqub7b12OfrODvna8aAyPlKBYZSKolhNrFx4403Mn/+fCoqKnj33Xdjci16vV42btyYBuuyjxJzLcOdy/EYe/CqA6gMLKDROjHu6zidBm6zCStQh1K9zSotSs21DHf+Bre5D4CgyqcqMI+a4EwUHorMDxjiWIHb2IdPDaM6OJdm6ytR1zBwOD0oowy/lUcwCBn4umU9kyd30+IjRlI5NiZ55hCgBIheHSicNLLR+0rar9MT49zX4jKqtdjamLThV0PY7PtZfLYa5RjOwRgolJ2K4qSZz31PxGGRIt/YzCDHG5Q63sRhRIps+9Ug6oOnUBc8FZ9KQk+xDOBwDabNX5LSMR3r2Ej7iuz3v/89I0eOZMqUKbz44otxnz9p0iQ8ntS6pNavX5/wj0tymQzcCMDGvtpmtdm5YUVALz73tnd1bzBv6MfRCSUX4hh8PSMcg6O6jk0CLgXg8082MunISZFrZEkOWPb9t9Skwq6UjI1tE/AEKnRADtDS2kphHuCcwORJcdjf6TqAdmvHe51uWL9+PSUHL7Zdgipqr80kf8Ti7vuBdcWOr+OxGrR9VjM4HHo7zHEIk8ZN6vV0AtXQvAIaXwT/F1FPRHK+XAUnMtRwMjTeN5pENnYes/FiloKr770Cu6MvYyPtQvbXv/6Vqqoq5s6dS0NDA62trdx///3ceeed6TZlYKCUDuYI1tGrb9+3RbtVWt+IHCucDoO/H2OlgP3bqAg5TrJc2+loXproXlvTKqj/hW7yGthlV5MpJ6Ymlj3kfLVZY8gfenE/yPky9D/Dpcd5FkUZp13Inn322fD/f/HFF3n33XdFxFJFrH3DAlVQ9yg0/p6w2HmOgyG36dJSvWLgcJWCa1THGbeQ+3QSB78aQv6IPkQtpqthZV/22pTSjV33/ZcuL2V4tIiFujZ7DtMi1lW/L99mvfJqXtFtzteWLywmlR2V0NvKDKbeAzfy7M/E/puFdU4lj6y/EkvfMKsF6p/V1TlCYucaA4Nv1iuxXldUpq6+4SilPdAsItZfiRKHzevXx+em6+Y6WYPVoqty7L3dLv0UtN3i5eA4EBxDYdQvO54Tzvl6EbwfRz3RXc5XLuztG+jxnGcLl1vbnyNtXjIqZPPmzWPevHmZNKH/oYLaR2810m2eiwroQVj7iF14FDAHweDroeQ/YvjyOrT70FEcfq1lJRiSLAjpxPJql7vVDC1/B/9ngAk4tJswUKGjc1XnPl9/1NGHOZvzFXIPmtqL4ii3G3WG/uXmdoCsyJJBItUEklmJIBzQ4e36eaW0/77mocgmtOHRjS3LrtbC1BOGW7tMHCVZ6V4Q+glNK6HyDvB/rh87RujvnNXY+xjpbjw1rYSaH2vxch8GRTOhYIo+p/5pwEXEe2EClp7kuSf20udrHuR9NUsFICRaTtsl6Ilaablo89eDszzTRiYFEbJESaSaQLIqEcRSocO7UTe3DOewGFA0F8q/1/ssskMRX6lCL6SQppWw+9tg1aIFJQiBbRBwgPPgnsdId+Op7TJofAmcg3UQUvu/oO0tGLJI73sFdmkXYnCvvh+G/dcHvg/1vxB5X9HilZU5X9F7Wm57X8vTbd5mf0qFESFLlESqCSSjEkFvAR3+XbqkVPOfI8fyT4Dy2+wqBd0hEYhCBqh5CFQT4R9lFaoio8DaB87x3Y+RrsYTRTqS0CzQe2EE9A88ll6JFU7VXZcD+3REYbCGSOUaG8dQKD5H/3MfmsI3Hw+h1VaeLvFmuO39rYFZbECELFESqSaQaCWCYKOOOOwqoKOrklLu8VrACr7Zw0WliK+QQfxb7YozIde1Qv9oq4jLvLsxEj2ejEI9AbPawf8WOA/pNBnL067CQDW4RkP7eqBTpRvPV2DQNVBwUob7fBkdowcNtx0C75EJpo0IWaIkUgux87nBBgjsASzYNq37vQAVsAM6mtgvoEP5oOE3UPcEWPX6mGMYDP6e3ozudm/L1APfUaZndoKQCVyH2Pu8QbSYGeglmGmvpOh+fLkO0WPIMcyuJbrXHgNOoB2sgF2x3quva3hg+8l0nAi6wHkADL4Rimel8I12hwE4okLdcyt6MFOIkCVKvIme0ZvRZgkE6vR/BcsPge2AoaOgutkLyHNb2l3YuX2EUtBib2gHduljRqHuC1Z6eQ8V5h16I90skSK+QuYpv1Xvkalae45mB15ggDlMh8t3Mb5M04TBt0P1f4N/u31uKJH5cmh43t53g/A+cshtaZZC0Swdeeg+Mo2rnC5C3kPCJcSFCFmixJPo2XkzWrXag8YNwW36uPMAXVgX9t8LCNRiBCtAlXa8btt7dkmpUB8jB5RcCIOu7z4qyXDaEYilGXabCEIUxTNg1LNRUYtOO5+rRHsgnCP3H1+WlzxnA3gOhbIr9N5XYLfuxFAyXxe7Vs3sFwhl5OvXHPhibOIR6oge2KX31bpLku6EYdj7WV2JVg6HvGcT8guWDGJN9OxyMxotNmqEFrfoL7VRYM8uA3bLlSYsK8qP79sCNQ9D6+rIscJvweBbui8pJSH0QrYT63iyWrQr0Wol6K8FDtDCUvDNSM5X1e2d0lFc4BikK3fgBNUYu4hVL7aFp1SH5lcvBhZ1ErOoMk5t66HxdxxW8CVUjoZB10Lx6XF8EEKsiJClk56CO7raa0PpvkSdXYmBaqh7DBp/R9i/7zlWz1Tzj+/ixkanEHqZAQoZpLfcyZ6eV5ZemQUbbIGK2iP277L7fL24f86XUajFxRwU+f6rthj659nUP22LWMhFb0cKNrwARdP1cTMqV6v5dai6CzAI+BUex6ew91r61ORT6BURsnTRtBKC9eDfrd0LjuHarRfauO6812Z4dM5W4RkREbNaGer4Pex4JRJu7xwN5TdD4ZldCJShB5ijDBzZlvMiDEhCeWKqSQuRf4dO0vdMgmF2O6fOz7e9BXlTdM5jsFEHMgW2g1FkC1s1Ez0+2NGpSWx0zlfbensF1Q4qj5gKAUcTqNB7dI78SHKxCiVNj9n/9TU/0n/NAqBV/+1Lk08hJkTI0kF4b6wIaNHlcawdYA0D0x0143wMapZql4ljEBTPhcKTdARX04tQu4zhrio9CTXLYNB3oHR+FxFNhnZfOsr0AEpm9RBBSITKO+ygC0WHaEHvv+2JnGU/b9h1PEsAB3g/gd1X2ltNxTo4yvqc0IrMGZrDmaVQcoGd8zU2cv3CqcCijvtnPe5xRedpeSB/Cvj32LltrXrfLbRn1xXJavIpxIQIWToI7Y25BunVWLBSl5NSzTDiNxFRKZ6hy+YEqgHLjkRcA7UPg0+X67GUC3PQZVB2jT3IowkJ2KBIlGKyqocIQjLwf46ORPQTFgsU4NPfUWuXDngyXFooAtVRyf4ePakLrdaiCKhCnM5iHfFbfkvkiZgDNELtSQoi4e5GXsTLUXaZLbTu2KKTE0nLEeJGhCwdRM/OHHakoFK6TUTY9++zc8NaAAXeT6HmQe1WCZH3ddpa6ihsXgntG6IGpRGVA9YpzD4Z1UMEIelE7W0ZBfr76Ryri/hazVGrtmhs8VKhgCc7EhADnxqO08yD4J7Iy7sM0Pgh4ITCk6OqYdiuwp6CPuJtQxO9VQDdpg0IyUGELFFicdv1NDsL10msA4LafVG7FJqj2r/nT9FtIRqew2GoyKCs/R9dvbr4rO6TmMXFIWQT7vHg3aTd7I5CPSaUV7sK/ZvtMlI+uu3cAPr7bLUSXeTXY+wBv19/t1vW6Ale/dN2EIbtoTALtJg0/wUGXR5/0FM8bWiihM/Jv8E5QVz6KUQqwCZCyG0XqOjotmta2fF15bfqAWS12Csxe1O6/A4daRWs1kJW8xDsPCMiYu7xMOLnMPJZaFkFhhsLj159ucfpCgb1v+i5EofrkP3rMIqLQ8gUwx7UTVsd5dq97t9qV7NBr8QKvoFeaXXGDRSBUW4HLw1FL3d0cV8DPzpPqwxqfwJt/9KPXePsXEkindK9H6Qncrd4Bhy8mo3eV+Dg1SJiKURWZIkQq9uus1vCfaSu4eY+VG8aNzwPdY9HlZQaCoP/n464CuV6BXaB40AMVz44PHr/wGqHwM6ebUxHi3lB6IqmVbreZ7BSB0UUnwP5X4VBV+nVkrcJKNDRuQS00LRGuQYxAaf+3nomRCIM65/WfcJch+kyVIYLyyjCdI/WgSDBel1j1CyCwJcda4bKJK5fIkKWCPG47UJuiVC1eqtFuzhq/gcCOyLnll0FZd/u1G3ZoSvW+/diBerAZf9ni2VQpqvFvND/aVrJOPci2FzdvRtdBfQEq2U1VP0ACOhJVKAC2t6OtE5xj9U9vkJ9vkKeRCNfp5yUnKtzKLtqG1R4KuGq7ztmg1GAt60Bp/JCsFV7PXyfwoifyiRugCBC1hdC+2KBvcC+jmWlehKXpr/AvsXatUGQyOh1QMn5MOgGcA6JvD5cRqpMl97Zez2mskANjm9QZmOLeSG3sN3oLsOy3ejVUHEDVB+oaxa6RkHxuZA/GVBQfb/OmVTN+ntquIFCXUqt4dmOQUwAecfp87vt82XqyZ1ZqP+G2pWYdhV7ywDsyV9oDMokLjVkYTqPCFm8RIezO0bp1ZR/G6gxYLq6FherHRr/DHuv1z2VOuCCIXdD6YWRQ4ZT+/odpRHXYvGZwGP4ty0i36qRQSmkl5r/AXMQliMPnKW2a7tO5385R+g2KNHNKr2b7b5idhsW1Qa0aG+Ef4u+pmOo7shQPE+72VvWQMV37FD5g7T7vegMW8AKuq4JarvOTSwI+CBYERHOppUyiUs2WZrOI0IWL9H7YiZ60ziwB4K7wT2lUzmdoPb7e7+Eys4iFgoddkDzX7WQGW47hL6ka5dK8Qw2+4Yx+ajJKX+bggDYQUpeUO1gFmGoevC36AjDcNm08kjpplCzSuUl4nXoFIFYOF2LV8E3I+IUCpU3i8E1Vq+4an+qRbL4jO7ts1dd1rYbdSdpww3OMdq2LPiB7XdkaTqPCFm8dN4Xc5Rq4bHqdGRSiGCTjkis/znU/QJUqHyOgf7Yzchj5QXnsO4FTBDSgbKbV1ptWrhUm90XTGn3YXCPnReVHxGx6KoyygO+L/Sqik7losKVMkphxKP737vhBe2mMov0fa1GvaKreaBnIQMonkGQMnAf1jGwIwt+YPsdWZrOI0IWL71l7Fvt4K+Exud1GHCw0n5RqEmgQneiNXRrdXOIdqM4ytL3HgQBdK1A5dXfWdWmBQyLLnO4yq6E6sWYKLtWoQPw22H07Tri1qoHgtD6un2S3SQSALdebbkP7nRhh10goBlwQjDKaxHHD6TH2APGiI4Hs+AHtt+RpRVLZPofL13lhCll54RV6u7MO6dD1UJbxFz6R2DYw3pgYekSUq6DAQP8X9gb5IKQQlRQC1WwXu9T+XaC70s7j7FK53B1CEDqROFUGLKIgBqkW584D9SRg8FKCGwBq8Y+3wD3EeAYSdj74BgJrhF6DzlcpNfU48C3BXZdDN6Pwfuhrmoftjn2H0ivOkDyJdNBl79/mY8ElRVZvHSIhNoJ7qNg0Lf1zHbXudC2NvLaolkw+CZwHagfN/wmsknu34mejY6A1r8Di9L/XoT+SchFqLyR/S0VqpbRQ8WM3ij4JlXBPRTlfQAtf+tY79Dw6A4M+d+Aup/apdJGaZEM7gHzMBhyh3ZF7rtLV7VXQS2kzkGxB051Q2VgASVqmYTap5osjQQVIesLoUioYD20b9SloppeJvwjkfc1KL8N8o6yTzAj4flmiS7NExI3pcT9ISSHYB34ArbAdOMi7AtRfb4Oce+GZvt4Vzlfuy+N9O1y5OvC1qoNXKPBORyq7gfaACf4PtN7b6oYnGU9B071QqN1IowYl3U/sP2SLIwEFSHrC1Y7+LbqPbCG/43MTF2H6cFTMNUugWNGigQbbt0TLAv9y0I/IVgPjiTtFljt0PKabh/UOefLc5wWr65yvgK7dEBHCKNA98wL1uooRNUQFZARAEztngyNk64Cp2IlC39ghfSQESF77LHHWLlS1yOcOnUqt912WybM6JqmlRzu/n+wyS795BqvB23bO/qHApfOgwnupuOM1wWuCVD/jE4GNUv00+6RMPh7eoBJuSghm1EKvBug6Y+66ozVFHnOzvn6vHIS40fk6zD7uif2b43iPFC7E41SHQhiuHXCsmOwbuESHfFmeCLh/cEGu71Ruxa6UA5YtpGFycBCBoI91q1bx5tvvslLL73Eyy+/zCeffMKqVavSbUbXNK2EPVeQZ35p7zMoXcuw4Vnw7dWrsPY1ENzF/m4bP7S9boudAf7t4P83tH8aKSRcPANGPKbrzll1+u8IyXMRMkygWk/Ads6G3edD4wu2iDmh8HQY8SSM+TuU34Lb2KfzvUJiFazSj1vW6GuV/acWK3OQXY7tS32t8lv3L2DtGE64gr1/hxY00JXxuyq+nWliLRIupJ20r8iGDh3KHXfcgdut80/Gjh3Lnj17ejkrTdQ8pPNXcNjNKQdpV4h/D7CDSHOhzjjBOdSO4tpt90vSfZJQDWCMiuSziPtDyAaUH1r/AY1/hNY1aDefjXu8LhdVPEevpKIY4lgR2QMDIJQI/SwUnQal5+l0ktof6YCmzntV0R4JwwmOIVrolFcHiDiGaxej1ZJ9OWBZmgwsgKGUStKOcPxs27aN+fPn8/zzz3PwwQf3+Fqv18vGjRtTas8kzxxcjmYMx2A7AbQKlK9DxwelQrlgEMkFK9UrrGAdABahtioKA4s2NRYnjbqdgyB0YvLkxNIvQmPDzS4MI9jjaz3GTsocqxnkWIPTiIS6B1Uh9cFvUhecRrs6lK5bqcB493UEiN4XM8BRhsPh4LO2JwgEev45KTHXMty5HI+xB686gMrAAg5yPUCAkk73VFk3ZiZ55uSEnf2JWMdGxoI9Nm/ezDXXXMNtt93Wq4hFM2nSJDyeHjq5JsK2I8H3GSqwF4N2fSz8nTUBt/1D4bc7Mg/VEVmB7UAw/FqHYb9eBcHMo9AJOCcweVLi+WLr169P+IcvFYhd8ZEKu8aPn4DH3cVuQbAJWv6qV1/ej6KeMCD/RCieh6PwW5SbHsp7uUfz58Moymu1G1YW6YlcsAlMD8eM/0oMVk4GbgTAA5QAbHsZT6CiY8cHqyWuMZOW/87bJvTJzoH0HUwGfbErI0K2fv16brzxRu68805mzpyZCRM6YrXq1ZS/UkddKbX/hNQYoluhByvBOUoX8w1U6BydDhRFhT+j9xEkoENIN8rSAUpNL+row+jvqXM0lMyDorPBdUBcl60OzqWIP+hADkKV55th6GN9tzVXgqByxc4BSNqFrKKiguuvv56lS5cyZcqUdN++I8oHgSo9o2xaAf5PANWpeawTyAPPIboNu2s0BGsiTTA7UACmk8jH6gHPOIlsEtKHf7fd5+tFLTIhYunz1Rst/2RI3jtAAfg2AxZ4joBhSxL7fmdpku1+5IqdA5C0C9nTTz+N1+tlyZIl4WMXXngh8+fPT7cpYPmgeZUuTOr7LHzYr0pxuUfozWjVpkOKB/8/qH5Ql9HBRDtGFJjldnkeCzwTI7M0iUYU0k3lreD7Cx0ianvK+YqHtveh4Ze4rN2gKrXXwXBAwSnJ+Z7nShBUrtg5wEi7kN19993cfffd6b7t/nj/DRXXRxU4RVfk8O8g6HfgwmG3riiF8oVQ94idzOnWgSA47Pp1+/T/N/N1ErREMgmZon09mMrO+Zpr9/kam+BFHbqgdcPvwLcNl6pAT+Sc+vtf8yPI/6p814WMMjArezSthF3nR1qruMbDsPt1SamWNQR2PwLBRl02J9AAey4Cq0H7xR0lEKy2L2Si82BMOyfGRqpuC5mg4CQo+5b+21UTyrgwdVK/c5DuDeb7CKxaFEak2StO7X3o75M2SYLOegaekIWSGs183T/JzNeRR8Fa/XzhVGqpo8j9JwjstZOfQfdkaoOgLyr3xa4ZF8p9CSFlp4RMMHQxdBW1GBeGjspzlIOZFznsOkTvv3WooWDp3Mn+PGnL0o7IQkcGXhuXUFKjawzkfx3MoToasf5p9MpqMIMcr4FVDVYluhlgKIDD0tsPwUYdueg6CIb8l3Y3JqutQdNK2DYNNh+i/0rVACFdGB7dkdk1qqOIgf4+Gw6MUCUOLP3PLOvfk7boJGjDsP+69XEhaxh4QubfavcFiyZf73u5RoFzCG5rk36N5SX8ERku/f8Nt947C5WXGrYoeWWnpASOkAkMt65M7zoIHMVdv6Z4BpQvRGHaLWGcYA7Tk7j+HH7e1e+FbB1kHQPPtRjqcGoFdKPBQKV2FZpD7B5KukmfRzXrlZrlQ3e5tbTLxTlKi1V0de5kRTJJCRwhrdiBHI5BsYXjD1vEl7vLGDfo5YETfp6lHZGFjgy8FVn5rXaX3G16FeYYqturez8Lr3wqAwv0rNMoRe+NBXSEVqqTm2X2J6QFA8xicI8GZ3lcOWWN1ol6EjfuS/23P4sYZG1HZKEjA0/IimeAY5jdXmIfBCv0xrZzUNjvrZv0PaaTmc1B9ub3YP04lflhnauDg8z+hCRi6MRo1yhwjdRjQOgZ6ViREww81yKAagT3RDpVA+648slE4qOUwBFSheHRLkRHServ1d/C1SUJOusZeCsyyN6Vj8z+hETY+/1IX7AwDr0H7P0cdp6zfzRssqNkkxGwJJG7QpwMTCHLZr938YyBtQchJA+rNqrJZdQ+WNu7sPdaCOzpKC77Fic/SjbRcHWJ3BX6wMAUMln5CP0RI0/vgTW9oqvah/bBah7sWlxqlyY/RyrRgCXJ2xL6wMDcIwPxewv9D6MQXIeBf1ckhQO0uJiDO722QLdfSXaUbKLh6t3ZKpG7Qg8MzBWZIPRHzBLdT885qOPx7vaEzaLk7xUn6rbP1v1rIasRIROE/kJwly6E3Vk0uhOXwTclf684Ubd9Nu9fC1nLwHUtCkJ/wzEMht25v2j01BAy/6vJbxSZiNtemlcKfUCETBD6Cwf+Bjyerp/rTlyyca84G20SshpxLQqCIAg5jQiZIAiCkNOIkAmCIAg5Tc7skSmlAPD5fGm5n9frTct9+kK22iZ2xUe0XW63GyO69mccyNjQZKtdkL225YJdsYwNQ4VGQZbT1NTE559/nmkzBCElTJo0CU93gRq9IGND6M/EMjZyRsgsy6KlpQWXy9XnmasgZCuJrMhkbAj9mX61IhMEQRCErpBgD0EQBCGnESETBEEQchoRMkEQBCGnESETBEEQchoRMkEQBCGnESETBEEQchoRMkEQBCGnESGzaW5uZtasWezatQuAdevWMXv2bKZPn87SpUszYtNjjz3GzJkzmTlzJg8++GDW2LVs2TLOOussZs6cybPPPps1doV44IEHuOOOO7LKrgULFjBz5kzmzp3L3Llz+eijj7LGtp7IxnEBMjb6SraNjaSNCyWoDz/8UM2aNUsdeeSRaufOnaqtrU1NnTpV7dixQ/n9fnXFFVeov//972m1ae3ateo//uM/lNfrVT6fT1166aXqT3/6U8bteuedd9SFF16o/H6/amtrU6eeeqratGlTxu0KsW7dOvX1r39d3X777Vnx31EppSzLUieddJLy+/3hY9liW09k47hQSsZGX8m2sZHMcSErMuB3v/sd99xzD8OGDQPg448/ZsyYMYwePRqn08ns2bN59dVX02rT0KFDueOOO3C73bhcLsaOHcu2bdsybtfXvvY1fvnLX+J0OqmpqSEYDNLY2JhxuwDq6+tZunQp1157LZAd/x0BvvzySwCuuOIK5syZw69+9aussa0nsnFcgIyNvpCNYyOZ40KEDLjvvvs4/vjjw4/37dvH0KFDw4+HDRtGZWVlWm0aN24cxx57LADbtm1j5cqVGIaRcbsAXC4XjzzyCDNnzmTKlClZ8XkBLFq0iJtuuomSkhIgO/47AjQ2NjJlyhR++tOf8txzz/HCCy+wZ8+erLCtJ7JxXICMjb6QjWMjmeNChKwLLMvqUKRSKZWxYqybN2/miiuu4LbbbmP06NFZY9eNN97IW2+9RUVFBdu2bcu4Xb///e8ZOXIkU6ZMCR/Llv+Oxx13HA8++CDFxcUMHjyY8847j0ceeSQrbIuHbPk8Q8jYiI1sHRvJHBc5048snYwYMYKqqqrw46qqqrB7JZ2sX7+eG2+8kTvvvJOZM2fy7rvvZtyuLVu24PP5OPzww8nPz2f69Om8+uqrOByOjNr117/+laqqKubOnUtDQwOtra3s3r0743YBvP/++/j9/vAPiVKKUaNGZfy/Zbxky7gAGRvxkK1jI5njQlZkXXDMMcewdetWtm/fTjAY5M9//jMnn3xyWm2oqKjg+uuv5+GHH2bmzJlZY9euXbu4++678fl8+Hw+Xn/9dS688MKM2/Xss8/y5z//mRUrVnDjjTcybdo0nnrqqYzbBbpf2IMPPojX66W5uZmXXnqJ73//+1lhWzxkw/cPZGzES7aOjWSOC1mRdYHH42HJkiXccMMNeL1epk6dyplnnplWG55++mm8Xi9LliwJH7vwwgszbtfUqVP5+OOPOfvss3E4HEyfPp2ZM2cyePDgjNrVFdnw3xHg1FNP5aOPPuLss8/GsiwuuugijjvuuKywLR6y5fOUsZE42fDfMpnjQvqRCYIgCDmNuBYFQRCEnEaETBAEQchpRMgEQRCEnEaETBAEQchpRMgEQRCEnEaETBAEQchpRMj6CVdccQW1tbUJv+add95h1qxZvd5vwoQJXV7r9ddf54c//CGgWzS8+uqr7Nq1i+OOO67XawpCspFxMTCQhOh+wtq1a5PymkQ57bTTOO2001J+H0GIBRkXAwNZkfUDFi5cCMBll13Gu+++y4IFC5g9ezZz5szh5Zdf3u81FRUVvPHGG1x44YXMmzePU045hZ/85Cdx3/cnP/kJ55xzDnPnzuWNN94A4MUXX+Saa65JyvsShESQcTGASG6rNCFTjB8/XtXU1KjTTjtN/e1vf1NKKbV37171zW9+U33wwQcdXmNZlrrkkkvU1q1bw687/PDDVU1NjXr77bfVzJkzY7rfk08+qZRS6t///rf62te+pmpqatQf//hHdfXVVyullLrkkkvUypUr1c6dO9Wxxx6bgnctCD0j42JgIK7FfsSWLVvwer1Mnz4dgOHDhzN9+nT++c9/dvDFG4bBz372M/7+97/z5z//mS1btqCUoq2tLa77zZ8/H4Dx48czduxY/vWvfyXvzQhCkpBx0f8R12I/wjCM/Xr3KKUIBAIdjrW2tnLOOefwySefcMQRR3DbbbfhdDpRcZbdNM3I18eyLJxOmRcJ2YeMi/6PCFk/weFwMGrUKJxOJ6+99hoAlZWV/O1vf+OEE04IvyYQCLB9+3aam5v53ve+x7Rp03jnnXfw+XxYlhXXPV966SUAPvnkE3bs2MExxxyT3DclCAki42JgIFOFfsKZZ57J5ZdfzuOPP84Pf/hDHn30UYLBINdffz3f+MY3wq9ZsGABy5Yt45RTTmHGjBm43W7Gjx/PYYcdxvbt23G73THfc+fOnZx99tkYhsH//M//UFZWlqJ3Jwh9Q8bFwEDauAiCIAg5jazIhC556qmn+NOf/tTlc1deeSVz5sxJs0WCkHlkXGQnsiITBEEQchoJ9hAEQRByGhEyQRAEIacRIRMEQRByGhEyQRAEIacRIRMEQRBymv8P7HFGKBToEEgAAAAASUVORK5CYII=", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.lmplot(x=\"total_bill\", y=\"tip\", palette=\"magma\", row=\"sex\", col=\"time\", data=tips, size=3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This plot in 4 separate facets drill deeper into visualizing the data, where we still show the tip being given against total bill but is now also segmented into whether it was Lunch time or not along with dependency on Gender. There shall be multiple occassions where you would like to visualize such a deeper segmentation. Currently we have a small dataset so we still have our hands tied but with real-world dataset exploration, this visualization gets limitless." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, I shall show you a generic usage of **`lmplot()`** where we shall generate random data points and then fit a regression line across it. I am showing this implementation just to give an overview of how it generally looks like in production environment and if you're a beginner and not so proficient with Python programming, don't really need to get stressed because with time, you shall gain command over it.\n", "\n", "Please note that our focus is just on visualization, so we won't really get into **NumPy** module usage. Let's get started:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "ExecuteTime": { "end_time": "2021-07-16T15:12:48.052890Z", "start_time": "2021-07-16T15:12:47.902015Z" } }, "outputs": [], "source": [ "# Generating Random Data points:\n", "def generatingData():\n", " num_points =1500\n", " category_points =[]\n", " \n", " for i in range(num_points):\n", " if np.random.random()>0.5:\n", " x,y = np.random.normal(0.0, 0.9), np.random.normal(0.0, 0.9)\n", " category_points.append([x,y])\n", " else:\n", " x, y = np.random.normal(3.0, 0.5), np.random.normal(1.0, 0.5)\n", " category_points.append([x, y])\n", " \n", " df =pd.DataFrame({'x':[v[0] for v in category_points], 'y':\n", " [v[1] for v in category_points]})\n", " \n", " sns.lmplot('x', 'y', data=df, fit_reg=True, size=6)\n", " plt.show()" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "ExecuteTime": { "end_time": "2021-07-16T15:12:49.216943Z", "start_time": "2021-07-16T15:12:48.057286Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "generatingData()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here we see jumbled up data points on the plot with a linearly fitted line passing through, thus reflecting best fit for existing trend as per dataset. In general, I would always recommend to keep the sequence of parameters intact as per **[sns.lmplot()](https://seaborn.pydata.org/generated/seaborn.lmplot.html)** official documentation which looks pretty much like this:\n", "\n", "**`seaborn.lmplot(x, y, data, hue=None, col=None, row=None, palette=None, col_wrap=None, size=5, aspect=1, markers='o', sharex=True, sharey=True, hue_order=None, col_order=None, row_order=None, legend=True, legend_out=True, x_estimator=None, x_bins=None, x_ci='ci', scatter=True, fit_reg=True, ci=95, n_boot=1000, units=None, order=1, logistic=False, lowess=False, robust=False, logx=False, x_partial=None, y_partial=None, truncate=False, x_jitter=None, y_jitter=None, scatter_kws=None, line_kws=None)`**\n", "\n", "Here the values that we see against few optional parameters are there by default, unless we specifically alter it in our code. Also, we need to always make sure that **`x`** and **`y`** feature values should always be **strings** to maintain tidy data format. If you feel curious to know in depth about **tidy data**, I would suggest reading a research paper by Hadley Wickham that titles **[Journal of Statistical Software](http://vita.had.co.nz/papers/tidy-data.pdf)**. I have attached the link to access it's PDF format in the notebook." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Seaborn Regplots:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In terms of core functionality, **`reglot()`** is pretty similar to **`lmplot()`** and solves similar purpose of visualizing a linear relationship as determined through Regression. In the simplest invocation, both functions draw a scatterplot of two variables, **`x`** and **`y`**, and then fit the regression model **`y ~ x`**; and plot the resulting regression line and a *95% confidence interval* for that regression. In fact, **`regplot()`** possesses a subset of **`lmplot()`** features.\n", "\n", "Important to note is the difference between these two functions in order to choose the correct plot for your usage.\n", "- Very evident difference is the shape of plot that we shall observe shortly.\n", "- Secondly, **[regplot()](https://seaborn.pydata.org/generated/seaborn.regplot.html)** has mandatory input parameter flexibility. This means that **`x`** and **`y`** variables DO NOT necessarily require *strings* as *input*. Unlike **`lmplot()`**, these two parameters shall also accept other formats like simple *NumPy arrays*, *Pandas Series* objects, or as references to variables in a *Pandas DataFrame* object passed to input data." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The parameters for **`regplot()`** as per it's official documentation with all it's parameters look like this:\n", "\n", "**`seaborn.regplot(x, y, data=None, x_estimator=None, x_bins=None, x_ci='ci', scatter=True, fit_reg=True, ci=95, n_boot=1000, units=None, order=1, logistic=False, lowess=False, robust=False, logx=False, x_partial=None, y_partial=None, truncate=False, dropna=True, x_jitter=None, y_jitter=None, label=None, color=None, marker='o', scatter_kws=None, line_kws=None, ax=None)`**" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There isn't much of a visual difference so let's quickly plot a **`regplot()`** to understand it better. But before I do that, I would like you to make a note of the fact that **`Seaborn regplot()`** or **`lmplot()`** **does not support regression against date data** so if you're dealing with *Time-series algorithms*, please make a careful choice. Also note that **`lmplot()`** that we just finished discussing is just a wrapper around **`regplot()`** and **`facetgrid()`**, that we shall be taking up later in this course." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "ExecuteTime": { "end_time": "2021-07-16T15:12:49.882951Z", "start_time": "2021-07-16T15:12:49.222803Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.regplot(x=\"total_bill\", y=\"tip\", data=tips, color=\"g\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For a change, let us also try to plot with *NumPy arrays*:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "ExecuteTime": { "end_time": "2021-07-16T15:12:50.496715Z", "start_time": "2021-07-16T15:12:49.888812Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "np.random.seed(8) # Initializing RandomState\n", "mean, cov = [6, 8], [(1.5, .7), (.7, 1)] # Mean and Covariance\n", "x, y = np.random.multivariate_normal(mean, cov, 150).T # Generalizing 1-Dimensional Gaussian distribution to higher dimensions.\n", "sns.regplot(x=x, y=y, color=\"r\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "With the declaration itself, we know what we have plotted and aesthetically it is something we have already discussed in detail and that brings us to the end of this lecture where we have in length gone through two important aspects of Regression plotting. Third one, i.e. facetgrid is parked in the list and we shall take that as well very soon." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The datasets we have dealt with till now have data points pretty neatly arranged and hence presenting a logistic fit isn't that cumbersome but let us now look at few complex scenarios. The very first one we are going to deal with is to fit a nonparametric regression using a **[lowess smoother](https://en.wikipedia.org/wiki/Local_regression)**." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "ExecuteTime": { "end_time": "2021-07-16T15:12:51.576783Z", "start_time": "2021-07-16T15:12:50.503554Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.lmplot(x=\"total_bill\", y=\"tip\", data=tips, lowess=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is a *computationally intensive* process as it is robust and hence in the backend it doesn't take **`ci`** parameter, i.e. *confidence interval* into consideration. Here the line bends around to get more precise estimate as per the spread of data points, as visible. Let us get another built-in dataset available with Seaborn to have a better view of applied Logistic Regression scenarios:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "ExecuteTime": { "end_time": "2021-07-16T15:12:53.265244Z", "start_time": "2021-07-16T15:12:51.583621Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Loading another Built-in dataset:\n", "anscombe = sns.load_dataset(\"anscombe\")\n", "\n", "sns.lmplot(x=\"x\", y=\"y\", data=anscombe.query(\"dataset == 'II'\"), order=3, ci=None, scatter_kws={\"s\": 70})" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This majorly helps to tackle *Outliers* in our dataset to fit a **polynomial regression model** to explore simple kinds of nonlinear trends because the linear relationship is the same but our simple plot wouldn't have been able to trace it. Let me show how it would have looked:" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "ExecuteTime": { "end_time": "2021-07-16T15:12:53.986916Z", "start_time": "2021-07-16T15:12:53.271105Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.lmplot(x=\"x\", y=\"y\", data=anscombe.query(\"dataset == 'II'\"), ci=None, scatter_kws={\"s\": 70})" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "With all that understanding, the only thing I feel I should get you acquainted with are the commonly used optional parameters:\n", "- Parameters like **`x_jitter`** and **`y_jitter`** are used to add noise to our dataset.\n", "- **`color`** parameter helps you get Matplotlib style color.\n", "- **`dropna`** helps to drop NaN (NULL) values.\n", "- **`x_estimator`** param is useful with discrete variables.\n", "- **`ci`** represents the size of Confidence interval used when plotting a **[central tendency](https://en.wikipedia.org/wiki/Central_tendency)** for discrete values of x.\n", "- **`label`** is used to assign a suitable name to either our *Scatterplot* (in *legends*) or *Regression line*." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Thank You for your patience throughout this visually exhaustive lecture and hope to see you in the next one with **[Scatter Plot and Joint Plot](/content/tools/matplotlib/seaborn/006_Seaborn_Scatter_Plot_and_Joint_Plot.ipynb)**." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "hide_input": false, "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.8.8" }, "toc": { "base_numbering": 1, "nav_menu": {}, "number_sections": true, "sideBar": true, "skip_h1_title": false, "title_cell": "Table of Contents", "title_sidebar": "Contents", "toc_cell": false, "toc_position": {}, "toc_section_display": true, "toc_window_display": false }, "varInspector": { "cols": { "lenName": 16, "lenType": 16, "lenVar": 40 }, "kernels_config": { "python": { "delete_cmd_postfix": "", "delete_cmd_prefix": "del ", "library": "var_list.py", "varRefreshCmd": "print(var_dic_list())" }, "r": { "delete_cmd_postfix": ") ", "delete_cmd_prefix": "rm(", "library": "var_list.r", "varRefreshCmd": "cat(var_dic_list()) " } }, "types_to_exclude": [ "module", "function", "builtin_function_or_method", "instance", "_Feature" ], "window_display": false } }, "nbformat": 4, "nbformat_minor": 2 }