{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Distribution Plots\n", "Let's discuss some plots that allow us to visualize the distribution of a data set.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "___\n", "## Imports" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "import seaborn as sns\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Data\n", "Seaborn comes with built-in data sets!" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "tips = sns.load_dataset('tips')" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "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
\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" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "tips.head()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Distplot\n", "\n", "The distplot shows the distribution of a univariate set of observations." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "sns.distplot(tips['total_bill'])" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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HveuC9TqEtb8AAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# To remove the kde layer and just have the histogram \n", "sns.distplot(tips['total_bill'],kde=False,bins=30)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Jointplot\n", "\n", "`jointplot()` allows you to basically match up two distplots for bivariate data. With your choice of what **kind** parameter to compare with: \n", "* “scatter” \n", "* “reg” \n", "* “resid” \n", "* “kde” \n", "* “hex”" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Scatter " ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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IUEX1bdMin2OksU1Vh/bJsE3WffP7kUm0TR35/+xtyfYPSPMP2bbl0z+GQUSu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\nlTCiloxarSqiuNyuxuGsiaHbhWU7qrbj29efUN5bW7YLE1vz/BHFJRt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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.jointplot(x='total_bill',y='tip',data=tips,kind='hex')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Regression " ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "sns.jointplot(x='total_bill',y='tip',data=tips,kind='reg')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Pairplot\n", "\n", "pairplot will plot pairwise relationships across an entire dataframe (for the numerical columns) and supports a color hue argument (for categorical columns). " ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# separate by sex and color \n", "sns.pairplot(tips,hue='sex',palette='coolwarm')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Rugplot\n", "\n", "`rugplots` are actually a very simple concept, they just draw a dash mark for every point on a univariate distribution. They are the building block of a KDE plot" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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hKUn6eoa7JBVkuEtSQYa7JBVkuEtSQYa7JBVkuEtSQYa7JBX0/0QmDj6TEurVAAAAAElF\nTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.rugplot(tips['total_bill'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## kdeplot\n", "\n", "kdeplots are [Kernel Density Estimation plots](http://en.wikipedia.org/wiki/Kernel_density_estimation#Practical_estimation_of_the_bandwidth). These KDE plots replace every single observation with a Gaussian (Normal) distribution centered around that value. For example:" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(0.0, 1.0)" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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nq+CcI5FI4Pj4GG63G2tra3j+/Dk6nQ4ePnwo3WHCFXVwcABVVfHo0SO8evUKe3t76PV6WFxcnP0Xkrh3ZjmvfQpglTG2xBjTA/hdAB+LL3LOa5xzL+d8kXO+COATACTq3xAKhQJSqRTC4TC2t7cvifo4Pp8PW1tbqNfr+PM//3Ps7+/D7/fjo48+mhD10WiE58+fI5PJwOVy4dd//dfx/e9/X1r4qqrivffeg8VigVarxaNHj7C2tgZVVfH555/j8PAQy8vL+MEPfgCj0Yhnz56hXq9fWo/JZMI777wDVVXx7NkzDIdD+bVyuYy9vT04nU5sbGwAAF6+fIl2u42lpSWUSiU0m02Ew2F873vfw3e/+10oioLnz5+j3+9ja2sLfr8fz549A2MMkUgEw+EQz58/R7fbnVjH2dkZfvrTn8LhcODXfu3XcHp6irOzMynqWq0W9XodrVYL0WgUv/M7vwO3242//du/haqqiEajMBgMWF5eRq1Wg9FoRCQSQa/Xw97eHpLJJJxOJx4+fIhWq4WnT59Co9Fga2sLrVYLJycnMJlM+O53v3ul68NoNOL9999HNBrFaDRCKpXC8fHxjb8fmUwGx8fHCAQC2NjYwPPnz9FutydEXRCNRrG9vY1ms4lXr17hnXfeQSAQwMnJCcrl8o3vRXx13CjsnPMBgN8D8JcAdgH8Kef8BWPsDxljP7rvBRJvTqfTwcuXL2Gz2fDgwYMbrTfgXNztdjtSqRQYY/jwww8vBeSOj4+RTCZhNpvx7rvvIhgMYmFhASaTCb1eD71eD61WS16v1WrxzjvvwOPxoFQqod1uw+v1Qq/X49GjRxOCexGbzYatrS00Gg3s7u6Cc45Wq4UXL17AbDbj4cOH0Gg0SKfTKJVKiMViSKVSqNVq8Pv9eP/992E2m6HX6/HOO++g3+/jxYsXAACPxyPjAt/73vfgdrtxdnaGnZ0dGchVVRV//dd/DY1Gg9/4jd/AYDCAyWSCTqfD/v4+DAYDWq0WqtUqXC4XvvOd72BhYQHf+9730Gg0kMlk8NFHH8FsNuPzzz+H2WyGz+fDgwcP4HK5UK1WsbOzg3K5DLfbLe91f38fBwcH6Pf7sFqtMBgMMnh7FTqdDtvb2/D5fFBVFScnJ8jlclde3263cXh4CLfbjY2NDRwfH6PZbGJ7e/vKwLVYe6VSQTqdxtraGiwWC3Z3d9Hr9a5dH/HVMVOEhXP+Z5zzNc75Cuf8X77+3B9wzj+ecu2vkrX+9TMajfDixQswxrC9vT1zMK3ZbCKZTMJisVxySQBAqVTC4eEhRqMRVlZWEAwGAWDCzy2Ed9zCHg6H4JxLwdjZ2cFwOITBYMDDhw/R7/dxeHg4dU1erxcrKysoFovI5XLY398HY0zGAhqNhhSoarWKUqkEm82G9fX1CReP1WrF5uYm6vU69vb2cHBwgMXFRfh8PmQyGWxsbMBsNiOdTuPk5AQA8LOf/QztdhsffvghBoMByuUyHj9+jOFwiGw2C1VVkc1mYTQasbm5iVgshsFggGw2i3g8DsYYfvaznyESiaBarUJRFKytraHRaGBxcRF6vR75fF6eFHw+H+LxOI6OjvDy5UtotVo8fvwYVqsVOzs7GI1G1/78dDodtra2YLfb0e12sbe3h06nc+m60WiE3d1daDQarK+vo1KpyDV7PJ5r3yMUCsHr9cqA9fb2Nkaj0UzrI74aqPJ0ThHZE5ubm9dmlYzDOcfz58/RaDTw6NEjeDwe7O3tSYEWQdFGo4FAIIAHDx4AAOr1OlKpFOLxOD766CM4nU5kMhkkEgn52oeHh/IEYLPZcHZ2hoODAwDnghuLxZDL5VCpVKauTQQ0f/GLX6BSqWBlZQUGgwHD4RA7OzvQ6/Ww2+0oFovQ6XSIRCLw+/2XXsfn8yEcDkuXw/b2NtbX19FsNtHr9RCNRtHv93F0dIT9/X0cHh4iHo8jEonIILLBYJBWuzhFRKNRrK6uAgBOTk7Qbrfxy7/8y3jw4AGOj4/xi1/8AtFoFHq9XqY8CtcN53zieYRCIdTrdZydnSEQCGBzcxNra2uo1+uYJZPM4XBgaWkJer0erVZLvu44iUQCjUYD6+vr0Gq12Nvbg9lsnslXzhjD+vo6FEXBzs4ODAYD1tbWUKvVZlofcf+QsM8hrVYL6XQa4XD4RutrnGQyiUQiAY/Hg62tLayvr6Pdbkvr9fj4GOVyGXa7Xf5hc85xcHAAvV6P5eVl2O12rK2tAQD29/fRbrdRrVZxdnaGeDyOxcVFhMNhDIdDJJNJNBoNAJCunP39/QlLX8AYw+LiIgqFAlRVlScFkb3x4MEDJJNJtNttOBwOrK2tXel6slqt6HQ6Mtjp9XoRCASQTCZlFkitVsNPf/pTKIqCDz/8EAcHBxgMBlhaWpICr9Pp0Ol0YDabsbW1BUVR0G63kU6nEQqF4Ha78eGHH2I0GuH09BTvvfce/H4/EokElpeXwRiDzWaD0+lEu93G6ekpyuUyXr16BUVRoCgKTCYTNBoNAoEAAoEAEonEpRjANITlLfLyS6WS/Fqj0cDp6SkCgQB8Ph+Ojo7Q6/Wwvr4+88lOURRsbGzI349AIAC/349kMjnT+oj7hYR9Djk6OoJGo7lVpkKn08Hu7i4ASCvf7XYjFAohmUwin88jkUhgOBwiEonA6/UCAPL5POr1OpaXl2V6XTweRyAQQLVaxf7+vvRFC9fE+vo6nE4nqtUqDg8PZUHR2tqaLMCZRqFQgNVqhUajkRZ2MpmE3+9HpVJBtVqF2WyWm840BoMBjo+PEYlEoNVqUSgUAAAPHjyAoihIJpNYWlpCtVpFo9HA0tISOp2O3JjOzs4wGAyg1+vRbreh1+uh0+nk8zg8PIRGo8HS0hIAyI2GMYZkMomVlRWMRiPp9mg2m/LZlctlfPHFF8hms9Dr9YjH46jVajKwLDaDo6OjG3+ejDGsra3JTezg4ACj0UhuxIqiYHV1FbVaDZlMBtFodKrr7TrcbjeCwSDS6TS63S6Wl5cBYKb1EfcLCfucIfKyFxYWrq0kvcjh4SHK5TIikQji8bj8/MrKCnQ6HT799FM0Gg243W7pghkOhzg6OoLNZkMgEJDfo9VqZRXk3t4eCoUCVldXpfAbjUasrKxAr9cjl8vJjAqXy4VgMDjV6qvVashms3j48CEsFgtevXqF4+NjWdyUSqXkv687paTTafT7fTx+/Bg2mw2Hh4cYDodQFAXLy8toNBoYjUZotVrQ6/UYDAbY39+HyWSC1+tFLpeDx+PB6ekpOOeIxWKw2+1Ip9Mol8uXnv3x8TFCoRCCwSB2ds6LtaPRKHK5HBwOB/R6PXq9HkKhkHyehUIBTqcTH330EfR6vdz8DAYDYrGY3ExvwmKxIBwOQ6fToV6vI5lMolwuo1arYWFhAVqtFkdHR9Dr9XIjui3CeDg5OYHRaEQ0Gp15fcT9QcI+R3DOZRFSNBqd+ftarRaOjo5gNBqxsbExcRwXlaS5XA6j0QjxeFyKViKRQK/Xm5pxEwwGEQgEUCqV0Ov1LmVZCDeR8AGLoNvS0hIYY5es9pOTE9nCQARSj46OEA6HkU6n0Wq1YLFYpFU7jX6/j2QyCa/XC4fDgdXVVfR6PRkLCAQCMJvN+OSTT+QzzGazyGazWFpaQiKRgEajkS0DTCYTtra2EAgEcHp6iv39/YlnL04RCwsL+P73v49+v48nT55gYWEBiqLg+PgYi4uLaDab0rXUaDTQbrcRjUZhsViwsLCAWq2GarUKAIjFYtDr9Tg4OJCZO9exuLgIs9mM0WiEk5MTvHr1CkajEaFQCJVKZULk3wSRupnL5dBsNhGPx6EoityMiK8HEvY5QvxxLS8v36qk/OjoCI1GY2pGBOdcluWPRiPEYue1aqqqSjfItCM8YwwWi0VWRwqXh0Cr1WJxcVG2FchmswAAg8GAUCiEXC4nszlqtRoqlQpisRi0Wi0CgQBarRbq9TpsNhuKxSI0Gg38fr8swZ9GMpnEYDCQVqbD4YDP50MqlZIFRn6/H/l8Hh6PR7pCOp0ONBoNCoUCHA4HUqkUgPNAbCwWw8rKCqrVKtLpNFZWVqDRaMA5x/HxseyZEwqFEIlEcHx8jHq9jqWlJdRqNSiKAovFIv8tnrOIM4RCIRgMBnk60el0WFxcRL1eR7FYvPFnK6x8jUaDcrmMTCYjN0+xvretHI3H49DpdDg+PoZOp5P3Nsv6iPuBhH1OEAE60UBqVprNJk5OTmA2m6WPdJx8Po9qtQqn0wm9Xo9mswkAsqnWVUf44XCIWq0mC3+EMI0TCoXgcrnQ6/VwcnIirXbhixdW+8nJCRRFQTgcBgApgiaTCa9evZIBzGnrF6iqilQqBb/fL3vkAOdB2+FwiHT6vJhatDFwOBywWCzQaDRQFAWfffYZtFotWq0WGo0GLBaLTFc0m83gnENVVfna5XIZ9XodCwsLcpP94IMPAABffPEFQqEQTCaTDKSWSiXZckCr1UqXkajCrdfrMmMoFArBYrFMfabTiMViMJlMqFQqUFUVLpcLpVJJply+SV+ZcRRFQTweR6lUQrVaRSgUgtlsnnl9xN1Dwj4nFAoFdLtdLCwszFSIJBDWejQahdPpnPga51xmmoTDYXi9Xlk+n8lk4Pf7r+wmmMlk0O/38ejRI9hsNuTz+UsWnAjwGgwG1Go1WUwjrNyzszPk8/kJax04F1+XywWbzSZ93cFg8Mp+MsC524hzfimgbLVa4fF4kEqlUKlUcHp6KsVOvA8A2SMmk8lAo9FIix443/zMZjMcDofsLnl8fAyj0ShdLABgt9sRjUZlNlAsFpNZQb1eD51OBx6PBzqdDqVSSW42wWAQBoMBJycnspVBPB5Hu92eyHa5Cp1OB4vFAs45jEYjUqmUrGYdj428DZFIBHq9HicnJ2CMYWFhYeb1EXcPCfscIPp9mM3mW6U3NhoN+X3TfNOVSgXFYhGKomBxcVEesV++fInhcDgRZB1HpDK6XC5Eo1GEw2F0Oh0pTOMEg0G4XC50u10pvsCXVvvnn38ORVEQiUQAnJ8whNDrdDq0Wi3p1rkKVVWRyWSkD/0iCwsLGAwG+Ju/+RtwzvHRRx+BMYZ8Pi9bGgwGA2QyGdlZUfjJxbO32+1YXFxEJpORLrFp1vCjR4/AOcfTp08RDAah1+vx/Plz2eohHo/DYrGg3W7LTpPjVrsINPv9fhiNxolndhWcc9mqWK/X49WrV6jX63dirQu0Wi1isZjMJhpfH/HVQ8I+B5TLZbRaLSmGs3J6eopGoyFzri8icsQdDof0E+t0Ouzt7cHtdk+4NMbJ5XJQVRULCwsAvhSrs7OzSxacsO4MBgMqlYr0xev1erhcLuRyOfh8PmmtJxIJaLVa2O129Pt9aLVajEaja/uQp9NpGfidht1uh9lsxunpqcxjFy13tVqtdMcIEXW5XDLWMP7sFxYWZB8do9E41Rr2eDwIBoM4OTmRBVHCx2+1WqEoCoLBIEajEUqlkow9BINBGI1G6Z4SDcjq9TpqtdqV9w6ct+MVnSK1Wi3y+Tx6vd7UAq63IRQKQavVIplM3mp9xN1Dwj4HJBIJGAyGW/2hdrtdnJ6eyuZUFzeEer2OQqEArVYrc741Gg2MRiOazabM276IsGAdDocMqrrdbgQCAVmEc5FAIACHw4Fut4tkMiktUGGtjq+5UCggHA4jk8mg0+nA6/VCUZQrxWM4HMp2s9f1Wmm32xgOhwgGgyiXyzKQuru7C4fDAa1Wi3a7DQAy8wOYfPYWiwVmsxnZbFZ2vJzGu+++i8FggGfPnsne9p1OB+vr61JwDQYD2u02EokERqMRNBoNotEo6vW6TCUMBoNyw7mOZDIp2zUzxtDr9cA5v/Pyf51Oh3A4jHw+j06nM/P6iLuHhP1bTq1WQ61Wk5kPs5JKpeSReZpIJxIJtNtt2Gw26QYZjUZyko7wDV9EWIexWEwKm/AJG41GnJ2dXcpxFqKl0+lQLpdRrVbR7XZRq9VkXvRgMEAymQRw3jtGtOSNxWKwWCwyU+UiZ2dn6Pf716Z/CjeLKPNPJpNywysUCnC73eh2u9K/LbJIpj378Xu+imAwCK/Xi4ODAyQSCSiKgtFoJOMNrQDoZOcAACAASURBVFZLVo2Wy2V5r8FgEFqtVt6rVqtFNBpFuVyWQe2LiAIn0WGSMSZPIOJ175JoNArGGFKplDQKSqXSRFM44v4hYf+Wk0wmodPpbpWyNhgMZLvZxcXFSyLUbreRz+fBGJOBO+BctPv9PlZWVnB2diYHTYyTSqVgNBov+frFBtJoNGRQcJxwOAybzSatVDGY4uHDhxgMBkilUshmswgEAigUCuh0OnLMXigUQrFYvFTUxDlHKpWCzWa7tqpSDI149913Ua/XkclkEIlEwDmXaYLAuZAqiiI3tWQyCUVR5LPvdrtotVrw+/1y/dNgjOGdd95Bp9PB/v6+HL9XKBSkVR4Oh8EYQ6vVksVX4udcKBRkJ8VwOCzdH9NIpVLy+8TzcTqdMhPorrNWDAYDAoEAstks+v2+PO2R1f7VQsL+Labb7aJYLMo/7lkRzbacTudE1oYgnU6j2WzCYrFMWLrpdFp2MRRTgcZpNBoyxfHiZiF8rjqdDslk8lKLV71eL90XhUIBJycn8Hq9Mjd9d3cXw+EQ4XAY2WwWo9EINpsNXq9XivDF9ZTLZVnsc5UFzTnH3t4eLBYLHj16hHa7jWaziUAggFwuJ90+Wq0WFosFBoMByWQSnU4HxWJR+pXF82GM4eHDh/JncxXxeFzmxlutVrlZer1emfvvcrmgqiqKxaJ0NYl7FZuj2Fjy+fyljbbT6UjXlbD0RU8fzrn8ed01oid8JpORMYNp6yPuDxL2bzHij1vkd88C5xynp6cYDodYXFy8NHhDtKMdjUbweDxysEOz2ZSibbFY4PF4ZFByfD0ajebK00MwGITT6US9XpdBwXFEtWWxWESlUpGbSiQSkdk5zWYTrVYLOp1OCrbRaJQj78YbiAmXynV5/clkEvV6HWtraxiNRmCMQavVynRNv9+PTqeDwWCASCQiUzNfvXoF4MtnL1r1+nw+ed3FjWYcVVVhNpvR7/fBOZc9ZIrFIoLBICqVigw+j59yRGuDTCYj7zUcDoNzfumZip76kUhkYn1LS0swGAzo9XpXurDeBqvVCrfbLX8/xGY07WdO3A8k7N9ShsMhcrkcvF7vzG15gfN+6oVCYcJ3Ps7Z2RkajQZMJtMla12j0UgLX7S3FX5aVVWRz+cRDAavnNKkKIpsUysKnMaxWCzwer1oNptQVVXmpWs0GjDGMBqNZOGOxWKZOG2I9eTzeQDnG1G1WkUkErk29vDixQsoioLNzU1ks1lYrVbY7Xbs7OzAarWiUqnIwdfr6+uwWCyyDcL4sxfNwcRmEw6HUalUZMD1ImIOq+gnL9xFmUwGoVBIFitZrVb0ej1ks1l5yolGoxgMBvLZm81muFyuCfeP+P0QgdhcLofhcCh724gNe5oL6y4Ih8NQVVWOSby4PuJ+IWH/llIoFKQP8zYIN0I0Gr2UJSKO+P1+H3a7XfrJhYAHAgGZDeJ0OmGxWKRVKqz8m9YTiURgtVpRLpcvtRkAIFsCiLQ84LzYye12o9VqyfYBIpAoEJWiwm8sComuiz1Uq1Xk83l5ckmn0/B6vbIy02w2o1AowGg0wmAwQK/XSwtezCAdf242m02uX7iVpsUTxt1YXq9XpgRGIhE5E9XlcqFcLiMWi2E0Gknfv7hXm8024SMXo/aE++fs7Ey6rsTzEIIurHhFUdDr9aau8W3xeDwwGAzytS+uj7hfSNi/paTTaZjN5kvVotfRbreRyWQuWeMC0WxKq9XK4B0A2QBsXLSFVdpoNKTouFyua6s/gfNjejAYlC13L9JqtWA2m6EoimzuValU5DCMcrkMk8l0aQNhjCEajcprzs7O4PP5rmzfC0COwNva2kKpVIKqqvJ1GWPI5XJotVqw2WwIBoPIZrMIh8Oyn4uwxmu1mqzOFYhNIJfLYTAYTLyvmMcq5sGKtYhxgel0WgqhzWaDyWRCt9uVrg3x7EW/HOBcSI1G48TGZrFYYLfbUa1WL60vEAjIoPhFF9ZdINZYrVZlls+40BP3Cwn7t5B6vY5GozE1SHkd2WwWjUYDPp9vakFSOp2WKY7C0hXWqMPhuFSQFAgEoNFo5KT6WU8PkUgERqMR+Xx+Im2y1+uhVCphcXFR5qa/evUKjDFpHXc6HTidzqk56X6/HzqdTlbGXrcekRnk8/mkm8BgMMBms6HVasHtduP4+BiMMdjtdjlUQqTtmUwmeUrJZDLQ6XSX6ghEn5yLaYWif7nFYsHa2hq8Xi+Oj4+lhV0ul2E2m2Uuu0h9rFar8pQj7lUI5biQispX8fsh1jcea9BqtQgGg+Cco9frTT09vS3i1JLJZOQpQQg9cb+QsH8LSafTssvhrIgmYRqNZiLHXNDr9aTrw+/3y9a85XIZ3W53qkjqdDo5pV6r1c7czsDr9cLtdqPZbE4E1HK5nLSghS/78PAQPp8PpVIJOp0OGo1GWpoX0Wq1ckKRyWSSfuRpHB4eQlVVrK+vo9PpoFKpyK6Sorq01WrJvHWRZ//y5Us4nU7YbDY0m03kcjkUCoVLriHgfBC31Wqd8C23221ZAOXz+aDX67GxsQFVVXFwcCDFUJwOarWaPD2J6UziXkXqp8g2CQaD0Gg02NnZkV8X7o9p6xNBXtH7564ZP7WI4i8h9MT9QsL+LaPf76NQKCAQCFwZpJyG6NJot9unpjhms1nZB2X8yJ7JZKDX66+sNBU91UXxyyyIgiSNRoNUKoXBYCDdBy6XC06nE4FAQPqyPR4PstmsbHE7bTizwGazodfrQa/XX7se0Tt9aWlJWpTBYHCiUEl8v0gXFNko8Xhcvo9w50zLTBJWaqvVkmmFmUwG7XZ74jkvLS3JsYDiWedyOQQCATDGwDmHw+GAqqooFArS4hX+c9E8TbRhSKfT8Pv90Gq1cqOatj4R1OSco1arXVnk9DaIMYhnZ2eXhJ64P0jYv2UIf/dtUhyB89Q3URF6cbKSSEUbjUZwOp2ymEe4RoQlOI16vQ6DwSDFeVaCwSBsNhtqtRry+TzK5TJ6vZ68L+HLFmtrtVrQaDRYXl5Gs9m8svK1Wq3CZDLJsvlpFItFlEol2ZdcTEUS4/ZMJhOq1arcrITlL7JjFEWB3++XazOZTFe2KxAuE+HHFiI8XjQlRumJpmuhUAj9fh+1Wg0+n09OthqNRmg0GtLitVgscDgcyGaz8l51Oh1Go5FsUCY2y6vWJ7oyisybu8Zut0+cWoTQi9MhcT+QsH+LEEIi/lhmRbgMLlrjAtE7XPT6EJaq+EO/KrNkNBohl8shGo1CVdVbFbuIKT6qqiKdTsuTgXDnaDQa2Zvm6OgI3W4XZrMZm5ubMs/8IuI0s7i4iG63K6cOXWRnZweMMWxubsrsIlGIpNfr0Wg00O12ZVzh7OwMnHOUy2U4nU7UajXpMul0OteenMZdJsJaF5Wg4yeKjY0NMMbw8uVLuFwuGI3GiWCt6EMjBHg8h124koTlbbfb5YjE8c1yGh6PRzZQuw9LWriyxGYsGq6RO+Z+IWH/FiGyL2478SaTyaDVasHn803NoslkMrKtq/Dbi03E5XJd2TlRZJKsr69Dp9Pd+o81HA7LIGQmk5k4GWSzWTgcDpjNZmnNezweWK1W+P1+mTc+jjjNbG5uXrkeMR4vEAjAbrfLLCExyUm4Mhhj8Hg8UvDFs19dXUW328VwOJQZKp1O59qGWqFQCKPRSLYuMJlMl9xhdrsdgUAAiUQCg8FABkIVRYHZbEaz2YTP58NoNEKtVpPBTpH5k8lkZI+dBw8eoNFoyHmm18U+xmsTxuMsd4kIsmez2Ylsqvtw/RDnkLB/i8hmszJAOCvD4VA2ZLoqaCpEYtxvf9E1Mg2RSeLz+aRV2u/3Z16bx+OBx+OR6X/jVZwivxw4b50grGrgfEMYjUYT2SbjpxkRRygWi5fK2F+9eoV+v4/19XXp+xZBU/E6jUYDer0ewWAQ8XgcnU4HBwcH0Gq1WFtbkx0LNRqNzKK5LqtE9EEX/m6/3z81DXN9fR39fh+vXr2SgUbRKbLRaEiBbLVactMSwlwqlZBIJKDT6bC+vo7RaIRkMolQKHRjczgxfk80Q7trRJBdNHMT90FW+/1Bwv4tQbgZpmU3XIeYQCRysS8i/NdXBU2vsvbGM0nEcXs8kDcLwnpTVRWqqspNJZ/Py3RFzjk459IdAUzPNrl4mrkYWATORfvVq1cwmUxYWFiQFqRoWuV0OmXWidVqRTgchs/nA2MMJycnskArGAzKdr1erxeqqt7onxZtfzUazZWb5cLCghz3pyiKDKL6/X5ZeSv60BcKBWnxhkIhDAYDnJ6eyqZtYozfLGMSTSYT3G43OOcylfauCYVC0reuKAp8Pp8soiLuHhL2bwlnZ2cYjUa3dsOk02moqopoNHrJSrwYNBVBwlmCphf976IUfzyQNwt6vX5C0MVrWywW9Pt9KIoCvV4PrVY7YaGLAh0hQhdPM2JU3fh6SqUSKpWKnNMqWjI0Gg3pIqlUKtBoNHC73XC5XNBqtTAYDBM96IPBIBqNhuxXA3zZcGwaw+EQvV4PGo0Gw+HwyoHbF4Oowr9erVZlEDUWi4FzPpEqKgKj9Xpd5qaPRiMYDIaZRTocDt9rEPXiZkxB1PuFhP1bwHhJ+JsGTaflob9t0FRUEwrC4TDa7fatgqgiIKnRaJBOp6XFGA6HpbVttVplMFGItEjnE+1hRQro+GlGBBZFEHV3dxeMMWxsbKBQKEhfdjabhV6vR71eR7fbhdFolM9DnBZEn3Tg3DUksk+CwSDMZjPa7faVgijm0VqtVjDGLsUGxhFB1N3dXTidzktBVJGB0+12ZRBVnGq0Wi1UVZ0Ynzeru0MEURlj92JJjwdRm80mBVHvGRL2bwFvGjQVuek+n29qP/K3DZpedCmIEXazWnziZLC8vAyTyYR8Po/j42NoNBrY7XaUSiXZKsBgMKBer6NSqQCArPTM5/PIZDJTU0B9Pp9MNez3+0gkEjJoms1mYTQaYTQaUSqVZPWpRqOBw+GQbqt6vY7BYIBQKCStTfF8tFqttMCF22daEDWTyUBVVXg8HpjN5msHXIggajKZvBRENZlMaDab8Hg8E0FU0QbC5XLJQLTBYJBB1Fms9q8yiCrqBiiIen+QsH8LeNOgaTKZlFN27jJoms1mYTAYLrUlGE/tmyWIKjaA9fV1mUd+eHgIv9+PYrGITqcDg8GA9fV1WK1WdDqdCQtP+JbFsIqLpxkhVoVCAS9fvkS/38fa2hra7Taq1SrC4bAUWRE0FT50cRIRvdhXV1dlf/NSqYSVlRUZEBWzYKcFUVutljwxRKPRmbociiDqwcGBDKKK3vBiRu14EFUUby0vLyOXy8kum8KVNutGGwqFoNfrZYvfu2Z8M6Yg6v1Cwv4N502DpsKSmyVoOn4SuClo2u12US6XpeBcZFrGyjTGLV8RuFVVVfqThdvFbDYjEAjITW18epDNZoNOp5PDJKYhgrpivui0oKlol8s5h8Vikc9j3MUj2hHv7u6Cc45IJCIzb8Q9TPNPi9x1k8mEUCiEUCh0o7tq1iDqYDBALpdDJpNBIBBANBqVFnAoFLp1kHI8iHrflagURL1fSNi/4bxp0DSTyaDX6yEajd5YaSqCeW8SNL2I1WqFzWa70SoVJwPxOkKARfl5u92Wflnxf5HPLXzvjDEwxtDv9690G1ksFmg0GpRKJSwsLFxZaVoul2XQVJxExLMXLQX8fj+SyaTsuCjWXCwW5cYzHkQV98IYg9VqhcPhmIgNXIUIopbLZZTLZVmJOh5EFZWoYrqSqAkYDAYYDoeyT/xtg5RfRRBVtHumIOr9QcL+DeZNg6biiD5L0HS8AvIm0RYbgtvtvna4xyxBVOE+EJkm/X4fBoMBiqJgf38fnU5n4jThcDjgcDgwGo2kNd/v92Xv+OtOCK1WC8PhENFoVM5tnVZpejFoms1mJ1w8QjjFRinaJotc84tB1EKhgHa7PdEGWXRVvMldNR5EvaoSVQwVHwwGMBqNKJfLsne8cP/Y7faJvvk3MV6Jel9B1HA4fKkSlaYr3S0k7N9g6vX6W1Waer3eGytNhZvmbYKmFxH9Ua4Sk2knA+ESsdlsyOfz6Pf7ssc48KUg6HQ6GUQV1vDS0pL0216k3++jVCrBZrPJvvFGoxEmk0kGTcV0KIfDIZ91vV5Hq9WauNdqtSrFW5xGwuGwrES12WwTQVQxXs9kMk104hSVqDcFUf1+P05PT2XwdjyI2mq1YLFY5D2LlgWi14949uK08yZB1G63ey/tfKdVotbrdQqi3iEzCTtj7IeMsT3G2AFj7PenfP0/YYztMMaeMsb+b8bYwt0v9e8fInD3JkHT69rzXhc0vW4TEdkWN7XnvSmIKixuIZrCZbGwsAC9Xo9OpzNRaSoIBAITQVRxmlleXp7a9xw4rzQdDAZYX19HOp1GqVSaSKUEIHPSx4OmFwPW4xk8nU5Hnka8Xi8URZHWtE6nQ7PZxOnpKarVKjjnsj2vQOT83+SuWltbk0FUcbISQdR6vQ5FUaDVamVLZnFvoVBooup2XEhnQVSi3lc7Xwqi3j83CjtjTAvgjwD8JoAtAD9mjG1duOznAB5zzt8F8H8C+G/veqF/37gqN/smRKXpde15r6s0vao9b6fTkf7eWdrzTqv8BCbdOReP/CIgyxhDr9e7VMgjuioCXw6hDofDUytRxXu9evUKZrMZjx49QqPRQKvVgt/vl5WmYpizqDQFIGenjj97IYobGxsTp5Hxkv7xIKpwJ02b9gRgpiDq4uKibOcr3FZiIPVwOEStVoPL5ZJVp+I0JXz/Ys1vGkQF8JW086Ug6t0zi8X+AYADzvkR51wF8CcAfnv8As75X3HORdndJwAuz10jbsXbtOft9/tTg6ZiGPRoNILL5ZKVpt1uF6VS6dq+IuLYPKtbSLSUvSi2FzsOjo9x6/f7stKTMTY1oBYOh+Us0k6nI0v+L46KA87dE6LS1Gw2y5F29XodqqrCaDTKSlOPxwOXywXg8rMf34yE+2p8wIXYxMRGLK5XVVX2rrnITe4q4PzkIypRReaPqERVFAXtdhsPHjyQnSc55zAajbLP+nhB17iQzsJ4EPU+LGmxGY+f3m6zPuJ6ZhH2CIDx4ZSp15+7in8K4M+nfYEx9hPG2BPG2JP78N3NC9eNo7uORqNxbaWpaLalKMpEpan4w72u0jSbzV6qNL2JUCg0Ufkp3ms8nVL4ViORCDKZDIbDIVwuF3Q6HVKp1CVXhQgkdzodcM7lPQjrelyEdnd3odFoZHtei8UCo9GIg4MDGAwG1Go1GTQVY+TERjP+7MVmdLEPjbCITSaTFFJhLXc6HbmBTTvhjAdRLzYqG2dra0tORRIjAcXmrNfr4XA4ZMXpcDiUPnfh+xdVqOK5jQ/Avo6LQdTrqmXfhPEgar1ev/X6iOu50+ApY+wfA3gM4F9N+zrn/I855485549naU7095VKpXLlOLrrEEFTv98/tdJUzNoUrW+BL0Xb6/Vemeky3rP8NojKTyG2wp1zcVPRarWwWq1yZFw8HofVakWhUJiwwIFzQdDr9bJfe6lUAnDZr6+qqmzPK9w0Xq8XBoMBqVQKTqdTVpo6nU7ptqpUKuh0Otc2RBPZMOOnkXA4jF6vh16vJ1v6imrTq7i4QUzDarUiFArJQSmiqKrX6yEQCMjsJpH2KSxej8cDvV4/EUQV05wuPtNpiGZljDF0u917saRFjEe0SZ526iLejFmEPQ0gNvZx9PXnJmCM/UMA/wLAjzjnvbtZ3t9P0un0tf7uaYg+4zqdbmrQtNVqyRJ9UWwDzCbaome5cFXMilarlYE80dtk3J2jqqqskhS560ajEevr6/D5fBPtaQWcc3S7XdjtdgyHw4mp96I4KpfL4eXLlxgMBtjY2ECj0UC9XkckEoFOp0On00G320Wz2YRer5cVl+Jehc8X+HJGaTgcnnBTRSIR9Ho9aRGLTePw8FDOZlUURW480xAuk5uCqJubmxgMBnj58iWCwSCazSa63S5WV1dRq9Wg0WhgNpvRarWkxTvu++92uwAuD8C+iYvtfO/akr54ahGnrlnXR1zNLML+KYBVxtgSY0wP4HcBfDx+AWPsfQD/E85FnSoN3oJZ/N3TyOVyqFarcDgcU4dcZzIZNJtNWCyWiZPATaI93rN81pmm44jWu6lU6pI7R/hXg8Gg/LfdbofT6ZTDo5PJ5ISrQuShr6ysADh3k4jmXKIIKJVKyTYD8XhcDv/2+Xwy/XBvbw/Aua9XPI9utytH04lnP25NjiMsYiFC4ppUKoXhcAiTyQSDwXCjIIoNolgsXnuNzWbD4eGh7BIJQG5+nHMEAgEMh0OUSiUZkBXupfEB2LO4fwQGg0GOABSb410zfmq57fqIq7lROTjnAwC/B+AvAewC+FPO+QvG2B8yxn70+rJ/BcAK4P9gjP2CMfbxFS9H3MBN/u5pcM5xenqK4XCIeDx+aVTbcDiUwun1emVf82azKasWrxLtVCoFjUZz61x6gdFohNfrxatXr6CqqhRR4ct2Op1oNBpot9tQFEWKUSAQgNPplLnngnQ6DYPBgM3NTVitVjSbzYmvR6NRnJ2doVKpYHV1VbonAoEAisWizFcXpxefzyeDm8IlMj7wI5fLXUpXBCCfSblclsO13W432u02Op0OgsEg9Ho9arXatZkvYqO7LkDJGMPq6ioajQaePn0q/f8i40ij0WBxcVEKsHgt0S/+4ii9m9w/40QiERiNRnS7XZlBdJdcPLUIQ4AKlt6OmUxCzvmfcc7XOOcrnPN/+fpzf8A5//j1v/8h5zzAOX/v9X8/uv4ViWnM4u+eRqlUQrFYhNVqlf3Bxzk7O0Oj0ZBBQoEozJmWFglgQhSnTfyZlXA4jHK5LFsYiDULn7HoGW+xWORpQ1EURKNRcM6RTCYxGo1kQ61IJAKLxQKv1ytFQAT3vF4vKpWKdMOMZ12k02kZEO33+7Kfuui/kslkJoqiRPrdtGcq7osxJgWvVCpBp9PJcYGimOk614Kw9CuVypX93IHzxmBarRa7u7uIRCJwuVx4+fIlzGaz7Jljs9lkFovopxONRjEYDKSPfFb3j8But8Nms4ExJtsP3zXjp5bbro+YDlWefoM4OztDv9+/ddA0mUyi0+lIwRtHuEFUVYXD4ZDBPFVVbxRt0Q73KmGblWmngVQqBYPBICtJhT9+PGc/EonIoGqhUJAbkTg9RKNRWVYvrNdarSY3iV6vh3Q6DZfLhX6/j3a7LStQxalG+NLFsxf3KjKTbDabTAu9iHBV5HI5qKoq3Vo6nU4W4QDntQVCaKch3FzXWcSim2a9Xpfuo0KhAKPRiGAwiHK5jGg0KtM5xWYyLdtECOksmWki6Kooinyed43YTMVr32Z9xHRI2L8hCAG2Wq1T2wBchQiYmUwmxGKxS18vl8sy71m4OYCbRVtYsC6X69JmcVuEuDLGZHqjsLxTqZTsC3PRjy0yQrrdLk5OTmSHQ7ERud1uOJ1O9Pt9mRr5/PlzOa90d3dXTo9Kp9NQFAX1eh2dTgcOh0NOGBLP3mKxyGcvLOjxZzaNaDSK4XCI3d1dNJtNGI1G2btdNOYSP6Or0Ov1CAQCyOVyV/aPEZ0ndTodjo+P5cbEOUc0GoWqqrBarTCZTOh0Okin0xgOh7Kf/Xj7YJHKmEwmZ7KKA4EAjEajPB3dV/+YarUq+82bTKap6a7EbJCwf0OoVCpotVpTe6dfRyqVQrPZRCAQuNQfHfjSmrfZbNLSFYVKbrf7StEuFouyO+Tb0Ol0UCwWsbq6Cr1ej1QqJfvEOxwOGTQUQyguEovFYDKZcHx8LIVWIARBURTUajVks1mcnp4iFAphYWEBx8fH0Ov1MJlMKBaLstJU+PDdbjdSqZR89uPZRGIjuKmdg81mg8PhwP7+vkwl3dzcRKfTwXA4hNPplNb/dbngsVhMbqbTENk34XAYiUQCJycncLvdGI1GUBRFdr70+XwYjUaoVCryFCM2w/FAr2jxO0tAVDQxA85/nreZazsrooNmMpmU66vX65T6+IaQsH9DSCaT0Ov1t+oLo6oqTk9PodPpEI/HL20IzWYTxWJRphgKS1e4HaZZ+IJUKjVRWv6miKySeDyOUCiEbDaLdDqNUCiEXC4ne5XH4/Gp3+92u2Wr2sFgcMktEgqFYLPZ0Ol08Omnn6Lf72NzcxN2ux2dTkduJiLPu9lswmAwIBqNIhaLoVgs4ujoaOLZi9TQSCQyU2aS3W6Xc1MDgYBME0ylUohEItDr9RMzSqdhsVjgdrtl8dFFkskkDAYDvvvd78qWBevr6zJ9MRaLodVqydzwZrMpLV6Rk14sFqUfX6S8JpPJS+81jWg0CqPRiH6/fy9FRKLTaD6fR7fbvfX6iElI2L8BNJtNVCoVRKPRW6U4ptNp1Go1uN3uqQHQZDKJVqsFq9UqRXya2+EiwlK6yQ1xE2ISj8/nk2LaaDRQq9Wk64FzLjsSToMxBovFImeFXgzejQdAE4mE3CRKpRIsFovMmvF4PFIk7HY7YrEYIpGIHJk3LuKJRAIajWbmWIfopSJ89KIBW61Wg9FohNVqxWAwQCqVmiraglgsJmMf49TrdVSrVUSjUUSjUWi1WlQqFdkXJp/Pw+l0yhYAHo8Hw+FQTnsCIO9PPAOtVotIJCInVd2EyPcHziucxQniLhGnw1QqJU8Js66PmISE/RuAcE3cJqVwMBjg5OQEnHMsLi5eahQmBiWIPHFRHj7N7XARcQq4KltmVoSfV1jjYo2cc5ydnUnredppQ8A5R7vdhtPphKqqSCQSl64RwTYhau12G8ViERsbG6hUKqjX69BoNDLWIKx80ZNGuDCA81z2fD4vXTw30Ww2USqVYDabodFopLtFjMvLZDKIxWLQarWo1+vXBgSdTicsFssl37IoPAuFQuj1ejJLRWxIwvcdiURQq9XkLgxreQAAIABJREFURlev16WQi7hDLpeTgVyxcc+axiiC1d1ud+rP4W0xGo1yetZgMLj1+ogvIWH/mhGDg4PB4K1SCrPZLEqlkizmuUgqlUKj0YDFYplwuSQSiWtdPkKoRIHQmzIcDpFKpeDxeGSKYTabhdVqhcViwc7ODgaDARwOx7UVtqJycn19HRqNBolE4lKGiV6vR6vVkus9ODiARqPBysoKVFWV3Q8557JoCYB8HYvFIq1kISKzxhaSySTa7TY8Hg+8Xi9OT08BTFrETqcTVqsV3W732oAlY0y6VIRFLOasipbAyWRSBo13dnakGGYyGfj9fmg0GtnkTeThizz6WCwmT2ziuYnxgLPMqBUppowxVCqViR5Ad0UsFsNwOJQtom+zPuJLSNi/ZoTlc5sg5Wg0wvHxMYbDIZaWli4Vz4gskdFoBL/fL/3S1WoV1WoVsVjsSpdPIpGQovQ2iD9GIaKj0QipVAper1d2Z9Tr9deeHDjnSCQSMBqNePjwIdxuNyqVyiUL7ujoCKPRCIFAALVaTfYvL5fLsNlsGA6HyOVyMmdfuKASiQQURcHS0hLS6bTs8+73+2eqI+h2u9Kd5PP58ODBA5TLZTnQQrg/stmsdNFUKhVUKpUrX9Pv98NgMCCRSMgcfpFy2O/3ZaOx7e1t1Go1HB0dIR6Py1z1UCg0MQawXq/LzcZkMsHv98sBIMCXQdtZfdmxWAxGoxG9Xu9erHabzQaXyyV/f8X6yGq/HSTsXyPCXTLuKpmFs7MzFAoFOByOqUFH0avcYrFMfP309FR2dpxGu91GPp+XectvihCKcd95NptFr9eTFtlwOJSl8FdRq9VQr9cRi8Wg1+uxuLgIADg5OZHCJFIczWYztre30Wq10Gg0pE/d5/Oh0+mg1WrBbrdLwRt/9qurqxgMBnj69ClGo9GVgdyLiBiGGJItetEIIR13f/h8PthsNrTbbelCm4ZGo0E8HketVsPZ2RlyuZwcACICq7FYDJubmzAajXj69CmsVis8Hg9SqZR054n2DKqqIpvNyuySeDwuLWLg3Ar3+/1Ip9MzWcUOh0Nm+pRKpXvJWonH43LdFosFPp9PtqMmZoOE/WtEWGWzCglw/gd7dHQEVVWxuLh4qY2uaAY2HA7h8XikdVqr1VCpVBCPx68c3CGChm+b4ii6D45b66enp3A4HOh0OlBVdaaN7OTkBIqiSF9/NBqF2+1GuVyWqXvJZBKVSgXr6+syp1yj0eDly5fo9XowGo2y26LFYpEFWsIlEo/HZcriwcHBzHn73W53ore90+mETqeT7hfRv0a4wcSEJY1Gg3K5fK3VLrJqfv7zn8uNRgRfPR4PLBYLFEXBxsYGarUajo+Psbi4iMFgIPsMlctl+fyr1arcbKxWq0zz/P/be/PYxtP0vvPz8iZFiqJInaWDou6zVNXVVdWdgceYpMeT2WyMBAk8QRIkSILsH2tsFkgQxGtgvd5gsQmC2DGwATaGEyR2vDmwniCeeOxM97S709Ndd+m+KFGibokiKYo3xePNH9Tvbal0VnV1V3UNv0ChdPwoPr+Dz/u8z/H9av3o7e3tSnnrMmhShBaLhUwm86VE7VpAoNFkeL1eldqr4GqoOPZXhBeN1nd2dtjd3cXpdNLeflqBcH19nYODA2w2Gx0dHSrNcVm0rlGzHmc6fBGUSiXW1tbUlhrKw1CHh4e0traqHLnGQXLe4I6Ww21vb1cLkRa1a4tbPp9nbGwMk8nE4OAg0WhUiTxrnOsaNa/WWQOoKdGGhgZ17Y1GoyIIuwpWV1eVEpW2CwBU18rx9IfW5nk8al9ZWbkwam9sbCQUCuFwONQwUaFQoKOjQx03ODh4KmpfX19XaTRtVkCbGNVSRO3t7SpdB88ftdfU1OByuSiVSoRCoZeusKQtHtp9qkTtz4+KY39FeJFovVgssrS0pKL1Z53Q8Wi9vr5eOdZ4PE40GlXdGWchGAwCXNjbfhVsb2+TyWSUsysWi6ytrVFTU0MulyMej2M2m+nt7cXj8bC2tnZqcEdz3Gaz+dRC1NraSm1tLZFIhIcPH7K/v8/AwIAaAtJ6u9PptOrj1+v1yp5QKKS4Z7Rrf3h4yP7+PnV1dezt7V0qKpFOp9Xkbk1NzQnOdW3xDIVCKmrX3ntnZ0fl3aPR6IUtg9lsFoPBQKFQIJfLsbGxQX19/QnhFS1qj8ViBINB2tvbVdSu8c9o57i/v68WG41aYm1tTTnKF4narVarSi29bGiLx9raWiVqfwFUHPsrwItG61tbW+zu7lJTU3MictOwvr5OLBajqqpKRetSSjWCfl60nkwm2dnZUUMoLwqtBfM4J83xaD0YDJLL5XA6nTQ1NeHz+SgUCqecSSQSIZFI4PV6TxV5TSYTHR0dSCkZHx/HbDYzNDREMBhECEFnZydSSoxGo3q/mpoaRkdHsdvtLC4usrGxQUNDg5p0XVtbo1QqcevWLbU4XoTV1VWSySQ2mw2fz3eq+Kulu5aXl4Eyz8u1a9fY3d3F4/FQXV1NKpU6N2rXah1dXV1kMhlmZmYolUqqxnAcg4ODmM1mJiYmcDgc1NbWsr6+rgjKdDodLpdLCY9oOXFNAFxLpbxI1K51M4VCoQsZLF8UXq9XDURVovbnQ8WxvwIsLy8/d7ReKBRYXFykWCzS1dV1akHIZrMqJ9nU1KSKllo+1+v1ntu+uLy8rKZXvwi0D11nZ6caKNKi9Xg8zsHBAVarVTlsTclJIykD1EJktVrP7aPXdhWpVIq6ujpyuZyKhsPhsEpfaNqmzc3NuN1ufD6fKiRqTlLLlTc2NtLQ0EBdXR3r6+vnknalUik1QerxeM6czDUajbS3txOJRFQuXXP2Wl+7wWBQrJzPYnV1FSEE169fR6/XMz8/f2Iheva9BgcHicVizM/P4/P5yOfz7Ozs0NTUpO691se/tLSkeGcaGhrY3NxU59re3k6pVLpyBO71erHZbGSzWQKBwEufRnU6ndTW1qpdnRa1fxk7hDcNFcf+FSMej7O7u6s4UK6K9fV19vb28Hg8Z+bWA4EABwcHVFdXq2i+VCoRCASwWq3nRutaSqC9vf0LdcJoEeFxfnOte6WlpUV9OI/L0EHZOWjFVSgXXlOp1In6wLPQ6XSk02k1aTk3N6dEGtbX1/F4PJRKJeVotN5rg8GgCoZaHUFzEto19fl8SCnPdB5SSgKBAIlEQkXr56GlpUUpKmk7iJaWFtXNVFNTQzqdJhAInCDVSiQS7O7uqt2TyWQin89fuJMaHBzE4XAwMTGB2WymsbFR7Uo0PdTa2lrVaaINSWk7H+1cq6qqaG5uVhKLl8HpdKrBLo2B82Wjo6ND7QSf176fZlQc+1cIKSVLS0uYTKbnio6z2SyLi4vodDp6enpOOeBYLMbW1pYixdLysFtbW6TTaTo7O8/sW9dy2c/ytL8IgsEgpVJJLSoao6E28h6Px7HZbCqa12Cz2RQbotaX7XA4uEgTd2JiAiklnZ2dRCIRlpaWaGtrU7nzfD5PoVDAbDZjNBoJhUKUSiWWl5epq6ujqqpKpSW0SF9znFarlWvXrrG9vX3KeUQiEUKhkOJeOY/OF8qLj8/nI5lMquEnrW1zZWWF9vZ2LBbLib58KSV+v189H/F4nHQ6TVNT04UpEr1ez61bt8hmszx9+pSOjg41zOX1ekkkEqoVc39/n6WlJUqlkrrvx89Vm2LWIvvL0NXVhc1mI5PJqHmClwmNvG5zc1Mt+M9j308rKo79K4Tm4Do6Op5rqnNxcZFIJEJjY+MpByylZHFxkXg8jsvlUpJx+XyeYDCIy+U6V1BZG+vXHMGLQiO4ampqwmazqchWr9fjdruVaEJDQ8OZtmgf1vv375PL5eju7j43Wj84OGB2dpb6+nru3LnD4eEhyWRSaZ3W1NSwtramFjm3200oFGJubo6DgwP6+/tpbGxkdXWVmZmZE/3xGrROnOPpBa1wrXG6n1XjeBbacJg2TGYwGOjs7CSRSCCEUFF0MBhUw06JRILOzk70ej1+vx+z2czt27fJ5/NqV3MW2traaGhoUCyTbW1tSrhCE/xoampS06jaYqLt1Px+v9pZeL1e9vf3L9Rr1aBx8xgMBmKx2JfC137cmRsMhuey76cVFcf+FaFYLKpo9Hk4WDT2QZvNpsbqj2NnZ4dQKITZbMbn86m+9mAwSKFQOBUhazg8PGRpaYnq6urnYpR8FlJKFhYWMBgMytlFIhHVR722tkYikaC6upqurq4zbdH4W7a3t7HZbCqVc9Z7ffbZZ0gpeffdd0mn09jtdoxGIw8ePFD0vYlEArvdzujoKM3NZeX7iYkJxZXe2dlJMplkdXWVzs7OU4usNo0ajUYJhcoSvlq/vJY/v0qRWSvm5nI5le6or6+npqaGYDBIR0cHVVVVxGIxFhcXWV5exul0qiJmMpmkq6uLmpqaE1Hree91584dSqUSjx494tq1a5jNZpaXl+nq6uLw8FDtVuLxOEtLS+RyOYxGIz6fT9EeQ5lC12azEQgErhSBt7e3q7bKlZWVl66ypBXM9/f3CYfDz23fTyMqjv0rwsrKCrlc7lzndhaKxSKzs7Ok02k6OjpOpSc055xOp2loaFDRvBY5aQpEZ2FpaYlisUhvb+8XYnDU+qO7u7sxGo0Ui0UCgYAq9IVCIeUMz6spSCmJxWLYbDZyudy5KYdAIMDu7i69vb1YLBbW1tbo7u6mqqqKaDRKOp1WGq3Nzc14vV56enqUqpDJZEIIceJ8z9vOawLSS0tLxONx1WHjdrvPrHGcB80pa6kfTb+0WCwSjUbVPZudnVXX8fDwkJWVFVwul7rnWtS6uLh4rs21tbV0dXWxsbHB2toaXV1dJJNJEokEHo9HzQVA+b4sLCwokjin06kG33Q6nerIuWiXoEGv19PZ2UlVVRWJREJF/y8Tzc3NVFVVqRSMZt+XMSD1JqDi2L8CxGIxxc19Hj3tWVhZWWFrawuPx3PKAWuRciQSwel00tPTo/rGFxYWsFgs5xb3tFxxe3v7F1JHymazrKysKM50KDvfTCZDa2sry8vLZLNZ3G73hTUFLQVx69Ytlfd/FrlcjsePH1NVVcXNmzdZXFxUTtJkMmEwGPD7/aTTaWpra+nr61M9+3q9XoltRKNRlpaWqKqqor29nUAgcOZCIoSgt7eXfD7Pp59+SiwWw263n7lrugydnZ2YTCYWFhbUBGxLSws7Ozt4PB6sVivRaJTDw0MsFotKAWn3FMpRa2dn56Xpjtu3b1NVVcWDBw+w2+3U1dURDAZPMIe63W7VRbW7u6vOVVuUobxINDQ0sLa2diXagPr6eqVBu7u7e4p6+ItCu9e5XI7l5WVl3+rqqhq8quBzVBz7l4xCocD8/DxWq/XCLopncXBwwPz8PAaDQfUqH8fu7q6KTrWtMJQXg0wmc8KxPWuP3+8/xSPzvNAKfYByQNFolK2tLVWQO+4MzxuMymQyLC0t4XQ66ejooKWlRTFXHn+ve/fukc1muX37tkr1eL1elb7QuNcPDw/x+Xy4XC6KxSLz8/NKUSkej/Po0SO2t7dpb29neHiYQqHA0tLSmbbZ7XZsNpsqXLa1tT3XwqzBYDDQ09NDKpVSEabX68VisShnb7VakVLy5MkTQqEQbW1tp3Y4jY2NuN1ulpeXzxW+NhqNvPvuuxweHvLpp5/S1dWl5PQ6OztJp9OKeyYajTI3N0cul8Nms9HW1sbu7q669tqiOT8/f6kcnhCCvr4+1aOvDdK9TGhMppubm0QiEbq6ujCZTMzNzVVSMs+g4ti/ZAQCAbLZ7LmO9izk83kmJiZUofVZnvZsNsv8/LySxOvq6gJO7gzOEtHQCq25XO6FIs/j2NraIhqNKt6QfD7P/Pw8NpsNs9nMzs6Oyrufp8JUKpWYnZ1FCEF/f7+aaLTb7YrrBcDv9xMMBvH5fHg8Hvx+PzU1NRSLRTWQlc/nVbeQljPXdgyDg4MMDQ0piT1tMtZutytndpbcWzKZVOPyhULhC3HoeDwe6uvrVYSp1+sZGBhQu5W+vj4KhQIzMzNKcepZaJG1Xq9nbm7uwjTS8ZRMT0+PWvQ8Ho/i45dSsrW1pVIy2jWZm5tTk6+9vb2KAuEyWCwWenp6sNlsRKNR9XdfJnw+H1VVVepvP499P02oOPYvEeFwmO3tbVpbW68c6UkpmZubY3Nzk/r6egYGBk6lYObm5tjb26O2tpbBwUHVqzw3N3dhCmZ7e5vd3V28Xu+5BcqrQCu+ud1uJfSwuLioetaXlpbIZDI0NDRc2D2ysrJCIpFQOXMotwkODAwogehoNMqjR4+orq7mzp07zM7OKlrh1dVV7Ha7GjtvaWmhpqYGv9/P4uKiqjPU1NRQW1uLTqdDCEGpVFKDQV6vV73meGGyWCwyMzOjlIvcbveF+e2rQIuAZ2ZmyOfzZDIZDAaDIjrT6AOKxeK5dQaTyUR3dzeJROLC/PedO3ew2+08evRI8e+vrq7S0NCA0WhUQiracJG2+9PoGbQouLa2lubmZqUNexmO13q2trZeurSdTqejv7+ffD6P3+/H5XLR3NysitsVlFFx7F8SUqkUc3Nz2O32K7XGadjY2GBhYQGbzcaNGzdObceXlpZYX1/HYrHQ29uL3W6nVCopZ6E5+mcRj8dZXFyktrb2uYp/zyKfzzMzM4PZbKavr08p3Gh0vysrK+zv7+N2uxkcHDx3VxCNRtXo+7NFYZvNRnd3N5FIhB/+8IdIKfnZn/1ZgsEgqVSKrq4uJaahTXdWV1dz+/Zt+vv7icVifPrpp6pTCMpdQhaLhe7ubrLZLDMzM6rtsL+/H71ez+zsrKITXlpaYmdnB6vVyuDgIMPDw+zv73+hyFCbEs3lcoyPj+P3+2lra6O9vZ2JiQlsNpvieNFoBM5CfX09DQ0NBIPBc4eCDAYDP/MzP0OxWOTDDz9UqR+/34/X6yWbzeJyuXA4HOr99vf3sdls9PT0cHBwoDp5Ojs7sdlszMzMXCpTJ4Sgp6cHt9ut0mwv2+Ha7XZ8Ph/hcJiNjY3nsu+nBRXH/iUgn88zNTWFXq9neHj4yimPWCzGxMQEpVKJkZGRUz3fW1tbqpvF6/WqyGhpaYmDgwN6e3vPHJo57oy1lMeLQIvkDg8PGRwcxGg0Eg6HCQQCuN1uYrEYu7u7OBwOent7zxyBh/KiNzs7S1VVleq7fxYNDQ1Eo1HC4TA9PT2KX6e1tZXt7W2y2axi/zObzXR1ddHe3q5IwJLJpCLz2t3dZW1tjebmZu7evUtdXR3hcJjJyUlyuZy6LqlUioWFBdbW1hSPS2trKy0tLTQ1NdHU1MTa2tqZNABXRXV1NV6vl4WFBWKxGAMDA7jdblWgHBoawmKxsLGxwfz8/Lk7hJ6eHhwOB3Nzc+cWD+vr67l79y4HBwd8+umnDA0NUSqVVI0hk8kokfOdnR3GxsbUTks71729PfUcA0xNTV1KkmY0GhkeHqampoZYLMbMzMxLb4FsaWmhrq6OQCBANBp9Lvt+GlBx7C8ZWvR8eHjI0NDQqaLneUgkEjx8+JB4PE5PT8+poZlYLMb09DTJZJKWlhbloLe2thT/yFmiFcVikampKRXNvyhtgFYsjUajdHd343A4SCaTzM7OYrfb0ev1bGxsYDab6e7uPle/NZvNMjk5iU6nY3h4+MzdhZSSBw8ekEwmaW5uJhKJMDExgcvlIpPJsL+/r4SZtbz84OAgUB7m8ng8ahL1/v37zM3NUVNTQ3d3NzabjZGREZxOJ5ubm0xNTVEsFqmtraWjo4Pl5WXu379PKpWisbFR7UqgnErRctAvKjBRLBbV4JDJZFKLSFdXF9XV1ezv7yvVoOXl5XPTLXq9nqGhIYxGI9PT0+cWKru7u+nv72dzc5PZ2VkGBgZIJpOk02nq6uooFApKxWptbY3x8XEKhYKyZ25ujv39fbVzyWQyzM7OXpqSqq6uZmBgAIfDwe7urnoGXxaOF2vn5ubU831V+950VBz7S0SpVGJubo5YLEZvb++V89iZTIYHDx6wt7dHR0cHw8PDJ6LqRCLB2NiY6nu+fv06BoOBnZ0d/H4/tbW1Z+bVNaeeSCTo7++/cAT+ImiTpFqk19zcTCaTYWpqCoPBgM1mU8RmPp/vTBZCKO8cJicnKRQKjIyMnDvkMz4+zsLCAq2trXzzm98kFotxcHCAlJK9vT2lUqTtXG7evInBYGB2dpb9/X2GhoZ49913MZvNjI+PE4/HT6SF3G43w8PD2O12VlZWmJ2dpVQqUV1dTSaTIRwOYzab1XXWoC1GRqORycnJ5+Yh13Y8iUSCb3zjG1RXV3Pv3j1KpRJvv/02Q0NDpFIpRSmczWaZnZ1Vg0PPQmO21K7reY7z7bffpqmpiZmZGdbX1/H5fCoS155RTaRkcXGR8fFxpJQMDw9jtVqZnp4mkUjgcrno7u6+cmG0vr5eFVM3NzfVvX9Z0BY3k8nE9PS0SrV9WYXbrxMqjv0lQevw2Nvbo7Oz80LJt+PIZrPcv3+f7e1tvF4vt27dOuFMDg4OePTokRLBGB0dxWQysbOzw/z8PDU1NQwODp5Kr5RKJaanp4nFYvT19Z3LvfLr7/svtTEYDLKxsUFLSwter5d/+geT/MZ/+BHFYhG73a56wTs6Oujt7eWffbB46u/m83l+7T+8TyaTYWho6NzBqX/8/73PxMQEDQ0NvPXWWyonbLVamZqaIpPJqGGh1tZWbt26hdlsPnHtm5qa+DcPylSvZrOZRCLBr/3/H6sP+q+/7+ffTydUG6nf7+fevXs8efKEYrFIY2MjJpOJaDR66jzMZjOjo6Po9XomJiZIpVL8wr+4d+b11L7+hX9xj1/70TwzMzOEw2HFzvnRfFn6TRvQ+u2nEXp6eojFYuj1elpbW0kmk0xMTJzJQ/7r7/v5rfvbDA4Okk6nGR8fPzNy1+l0fOtb36Kuro7x8XH29vZoa2tjZ2cHs9mM1WpV4h5aEX5sbAwhBJ+EbWoh+6d/MKkGv3Z2dq7UZtjW1obP51O7k5ft3E0mE8PDw5RKJcbGxpT84VXte1NRcewvAcVikenpacLhMN3d3VcWq4jH43zyySdsbGzQ3t7O22+/fSJVsr+/z4MHD5RTv3nzJjabja2tLebn53G5XGemM7QcvyYZd9Ei8xs/Xjz3d6VSicXFRVZXV0+M4n907yGfLO3hcDiUkpHP51P1hN/48eKJv5vJZHj69CmfzW8yODioBECOQ0rJ/fv3WZmfxO12c/36dbUjsNvtmM1mRV2cTCZpa2vjzp07qmimOczW1lYikQgf33uE0+nkvffeK7fHzU4zPT1NsVhU9rW1tTE0NESxWOTp06cEAgHq6+t57733aG5uZnFxkf/4x09ORX4Wi4Xr168jhGB8fJzp4OetksfPW/v68UqYH3784IRTHxsb45OlGN/+9repqalhZmaG3/5wgqamJrq6ulS66dq1a8TjccbHx09ppWrnoe1AstksY2NjZ+azjUYjP/dzP0d9fT1TU1OEw2HFJ1NVVYXdbsdisdDQ0EAul2N6eponT57wzz8OMDIyghCCj+49VDTAPp+PUCikdjvnQSumah1BKysrTE5OvtQe96qqKm7cuAGUd3taWu0q9r2pqDj2L4hMJsP4+DjRaJTe3t4rsySGQiE++ugjdnd38fl83LlzR1HJampA9+7dIxKJ0NbWpiYK/X6/Sr8MDQ2dcuqpVIqnT5+qdNB5ue7LoC0Om5ubtLa20tPTw97e3tE2HQpSp8a7+/r6zs2Xx+Nxnj59Sj6fZ6noUeIMx1EoFPjxj3/M/Pw8eyUbQ0ND+P1+lYcOhUIUCgUKhQJSStW5YTKZePr0KZFIhO7ublpaWtja2mJ6epqcNHDz5k3a29t55513yGJgcnKyzCnD58M2RqMRKSWlUolCoYBer1dDYc3NzTToEqpb5jhsNhujo6MYDAa69OFz0yXZbJYufZgqcUh/fz86nY6pqSlsNhv+Yll0Y2RkpBxp6vcJBAJcu3aNgYEB0uk0Op1OdbFoKaqzhoVcLhcjIyMcHh4yNjZGLBY7dYzBYODb3/42jY2NzM7OsrKyQktLC+FwGJ1Oh8PhwGaz0djYqNJ4Q/ptCoUCN2/eJC/1TE5Osr29TVtbG11dXYTDYcbHxy8sjgoh6OrqUlJ+gUCAhw8fvtSJUW0i2Wg0qg6jq9r3JqLi2L8A9vb2ePz4sUovXMWJFotF/H4/H3/8MalUipGREe7evauKrIVCgenpae7fv08ikaCrq4u3334bIQRjY2OqUHqWUw+FQjx9+pRiscjo6OgLO3XNGWuLg9frxe/3Mzs7i06nwyiKXNPF1TZYc1gnIVlbW2NsbAy9Xs/NmzdJydNaqnt7e/zgBz9QbWuRUhWrq6vYbDYODw8JhUJEIhHW19fR6XS89dZbDAwMMDc3xx/90R+RTqcZHh6mvr6eubk51du8WHSra9rQ0MBkoZn6+noCgQCjhk2cIs3ExASPHz9WohZer5fNzU0++eQTdnd36e7uZrPkZG9vj7GxsVM5dZvNxs2bN0lKMwsLC2WaAz6PDl0iXe4jF0WCRRfRaFQtyjdu3KBA+f4ZDAauX7/OXsnO+vo6ExMT1NTUcP36dYrFIrlcjubmZkqlEpOTkzx8+PBMMjCn08mNGzfQ6XRMTEywurp6ardhMBh477336OnpUe/V1NREKpXi8PBQOXePx4NOp6PNcMCHH35IJBLBX3TjcrlYWFhgYWGBxsZGBgYGSKVSPH78+EK2RSEEXq+X0dFRnE4nGxsb3Lt3j52dnZeWC7dYLNy4cYOqqipmZmZIpVL09vZeyb43DVfnjq1AQWOx29nZweFwqEjkMsRiMR4/fqxYDN955x2lhymlJBKJMDU1xdbWFna7nZGRETo6OtjZ2VHb8MHBwVP5co2vPRKJ4HA4nqsb5ziKxSKdt6zsAAASH0lEQVQrKytsbGxgMpkYHR1FSsnTp09JJBIYjUYikQhukSYiq1Tr4LMwU6BNv6/4z8/ikNfSH3Nzc+h0Ovr6+igWizh1WUwmE/F4nGQyyf7+Pul0GrfbzdDQED6fj2AwyPr6OtlsFiEE8XichYUF8vk87e3tZSUgTg7GJKWZb37zm4yNjeFZ/IQW/QH375epkEdGRujp6SGdTjM5Ocna2ho/+clP6O3tJVayMjw8zMLCAk+ePFF959pCZjQaCRRraWlpYWNjg379nhrLb9fvY7d3sVWspkV/QCgUwuv1nhC/1qDT6dgsOenr68Pv9/Pw4UN8Ph83b95UrZFut5tUKsXy8nJZo1UkCMuTtQq73a5qE9pMgUaUpkGv1/Puu+/S0NDA/fv3efjwoSIZS6fTqk1Vr9eTWylz/X/wwQd06Ut0dv5JNRQWjUbp6enhrbfeYnZ2lqmpKZqbm+no6Di3++ratWtUV1czOTnJ+vo69+7dw+v1Xtge+zwwmUzcuHGDYDDI2toasViM7u5uNjY2rmTfm4KKY38OlEol1tfXlUZmW1ubkh27COl0mvn5eTWd2d7ezo0bN1SXitY2uLq6qqTcRkdHARgbGyOVSqmOhOMPf6FQYHNzUwlj+3w+WlpanpsqQFOb1xgom5ubaWxsVH3MuVyOw8NDEokEZrOZYKmWYNF1yqnncjlWV1fpM4QoUR78qa+vP+HESqUSfr9ftW66XC4aGxtJp9NHudAyiVQsFiOTySimwZs3b5LJZHjy5AmlUonR0VGMRiOPHz8mEAjgcrm4c+fOhZTI6XS6nHaRAoMokcvlKBQKikPebrdz9+5dGhsbmZycZHx8nLeNcWKxGDdv3mRlZYXV1VXloD8/N6HodR0flHcSNpuNZMmETqejVR8jK43cvHnz0s6kxsZGHA4Hi4uL+P1+HA4HPp9PMUyazWZqa2s5ODhg2LhDtGRTylradTYYDPT39+NyuQgEAjx69EgVPbV0H5QHjzweDz/5yU9YWlpStMZa2sJqtRKVZqqrq8udVYY4P/jBD7hx4wYjIyMsLS0xNTWFx+Ohu7ubvb09Njc3FcGcJtz9LBwOB3fv3qW2tpbFxUVmZ2fZ3Nykv7+ftra2L+x0NZETl8vF/Pw88/Pz1NbW4vF42N7evtS+NwEVx34FZLNZtre32draIp/P4/F46OzsvFDaTkpJPB5nfn5eOcyamhreeecdVVwNh8NqkjSTyeB2u9W0aSAQIJlMYrFYGBoawu12qw+uplq/tbVFsVjE7XbT3d393ELUhUIBj0jy4MEDcrkcVVVVXLt2jUQiwePHj0kkEuTzeXK5XNlBtbbS19fH33v8EPjcWWtCG9vb2+WdR8nGTslxomh7eHiIVxfl+9//vor+Gxsb1S6gVCqRSqVo0cXZ2ChTx9bV1dHf368mJvP5PLW1tbjdbqLRKJFIBI/HQ3NzM7lcjvn5ecLh8FGdo7y91+gD+vW7vP/++2SzWeLSwly+nu99YwC/389HH31ETU0NfX19dHR04PP5qKurY35+nh/7P+Ozzz6jtraWzs5Ouru72draYm5ujmAwSFtbGxYOFRPnITrq6+uJxWJ0GSIsLi4SLVlZL9Vcud20qqqK69evEwqFCAQCSqhaU0Pa29ujWCxSkDrqdUk++OADmpub6erqorGxEb1ejxCCpqYmPB4PwWCQra0tdnZ21Mi/1pXkdDr57ne/y/LyMk+fPmVlZQWLxUJVVRVWqxWBnpqaGiwWC1PbSUKhEB988IFiHHU6y6mqcDisnsO9vT0CgYCaLG5qajq1g9Tr9fT393Pt2jUWFhYIBoPcu3eP2dlZuru7L6R5vipcLhe3b99WnDnFYpHq6mpyuZz63J1n39cdFcd+DnK5nBIbjkajQLn/ubW19UyCLSg782QyydraGsFgkGg0SqlUwu12c/v2bdW+Nj09zfr6OtFoFCml0im1Wq3s7u6Sz+dVgbCxsRGdTsfh4SF7e3vs7e2pwlh9fT2tra3P1Z9eKBSUgEQ0GqVFH0PKVlwuF6lUivHxcZLJJPl8HimliuL6+vpoampSi4uZPBsbG+zs7JBMJhFC0NDQgNfrZeMPk+oabmxsKKc3YNglHnfjdDoxmUwkEglyuRy5XE71bxtFUdEeaGRSmviyw+EglUoRjUYVwZgm+VYoFFhfX2djY4O9vT1uGDb58MMP2d/fL9MI62NYrfWMjo7yqzNzFNDz1ltv0dXVpdIWn332GWNjY4rjZnR0lEffX+d/6mpSw05Wq5WmpibFAb+yssI3TZvcu5dRztJqtWKz2VidzlBfX0+tbp4qkVepKbvdfun0r3Y9PR6PUjxaWVnBaDRSW1tbFuuWmxQoi4YHAgFWVlaoqamhra1N8dsYjUa6u7u5du0a6+vr7O7usr29TXV1NR6PB7fbrSQLvV4vs7Oz+P1+wuFw+dkUWUUIlpDl3UI8HleBjt1uV+Lp4XCYSCSC2WzG5XIpWufV1VUVMbvd7hO7hurqam7dukVHRwdLS0tsbGzw4MEDJicnqa+vx+v10tjY+NxBiwa9Xq9mL9bW1tje3lbtlplMRi0qbrf7TPu+rriSYxdCfAf4DUAP/JaU8h8983sz8NvAW0AE+AUpZfDlmvrloVgskslkSCQSxONx4vG4Kk5ZLBba2tpobm4+9XDlcjkl0RUOh9nb2yOVSiGlxGq10traitvtRsrPC4mpVIpCoYDBYMDpdCpysGQyqaL2uro6TCYT6XSaxcVFlZaAcsHO6/XS0NBwaURTKpVIp9Ok02ni8bga9Dk8PKRYLCKEoOoo2sxkMhSLRXQ6HWazWY2+ayo/moZpMplkQL+LSZSl4hwOB93d3Xg8HkVMNajfplaX5nd+Z5t8Pk+xWMRoNFKSZSekfbi0Lhe9Xo/FYqG2tpafhPf5bl0d8XicRCKByVROZ6RSKcW1rqUQdDodUkqy2SzRaFTRCGxubtKmjzE5OYnRaMTpdLJdLNdCPidjK0f0TqeTt99+m5GREZaXl1WNIRgMlkfj9TGg3Op5cHCgBm005kmDwYCVQ2KxGOl0mhpRvk/Xrl1ju7TH6Ogoa3+4Q40uq9J4mk31uqTiZznPmWiEZ9oErlZMLnfGCHLSRG1tLZlMhnQ6TSgUYmdnR3HXazzpHo+H1tZWOjo6FF/68vKy0rx1Op04HA7a2tro7e1lZ2eHhYUFdMFpDg4OyOfzysmbzWYMBgOHh4ccHBwQi8UQQmA2m7HZbEqEW5sj0FKYGxsb6tydTifV1dXY7XasVquyMZVKsbq6yvLyMltbWyr95HA48Hg81NXV4Xa7sdvtzyUvaTQa1eIVDoeVxm6pVOLg4ID9/XJNyGQy4XK5cLlcOJ1OZd9VmVlfF1x6ZYQQeuCfA+8BG8AjIcTvSylnjx32N4F9KWWXEOJ7wD8GfuHLMFiDVkmXUp74p6nTl0olSqUSxWKxvG09ciRaakHjGkmn0+RyOfU6IQQWi0U9oEIIIpEIGxsbZDIZ9QHKZDInXqfpRRoMBgwGg+IdKRaLlEolhBAYjUZMJhMOhwOz2awicbPZjMViQa/XK74VDXq9HofDgdv9eaRbKBSIx+OEw2EV8WrnlM1mSaVSZDIZstks+XxeOddnr5WUkgZ9hoODshCFw+FQD7NOp1NCy1ouWovim3UxOFK3P/7+2rmOGvIIAbu7Ce0ZQkqJW18gFMqi1+vL3TVGo7rWBoOhvFUWOWKxmLo+Op0Oi8WCxWLBaDQqymItys9kMuTzedWrbDQaqa6uZqFwyP/yP35T3Yt/N/eZEpG4bthEIvj4448xGo0nVJWcTidGo5FoNEo8HqdFf8Ann3yirpcQQtklpSzTBQupBLRrdGWCsbm5Ob5hTPB7v/d73DDsc4iBeLzcv18qlcpKULodPvroI/R6PUajkRH9Jg8ePMBqtWI2mzGZTMqJGgwGTCYT7e3tSug6+qN1bCKP1WpVLJHaNTo8PCQajapnSafTqVZO7Zpri0mpVCIYDCKEwGAwoNfrlWNeKzr4ntfLwcEBuc2kep609lCNLVNjptQmhLX7LoRQqSHtf+36aTYbDAasVitVVVXKNq3Ok0gklOPd3d1V9+D4eWg7JLPZrP6ZTKYTn0ftvPR6vWL7LBaL7O/vs7+/rwK6dDpNMBhkcXFRXS8t8NDe4/jzePz+GI1G9R7aM66d7/Fn7Isoll0V4rJWIyHEO8D/IaX8uaPvfwlASvl/Hzvmvx4dc08IYQB2gDp5wR+/deuWfPz48XMb/Ku/+qvP/ZoKzoeU8LzPmXZXz3vdeb8vSdDrPv/hsw+6EIL0YYkqs/6UhN2zr9Gcw/FFQvtg6XQ67gXC3PV9TqJ2fznCba+LUqnExHoUHZKeevuJBe/4e2gfyMVQkr4mp/r58aBB+3pzP0WDoxyZxlI5HBYDpVKJTL6IxaDjsFDuOzfoTp5PsSTR64R675IE3RXuhXYNikV5dC0uf82L4vjz8SLPSgXn41d+5Vde6HVCiCdSylsXHnMFx/4XgO9IKf/W0fd/FbgjpfzFY8dMHx2zcfR94OiY8DN/628Df/vo215g4Zm38wAvTp331aBi48vD18HOio0vBxUbXx56pZQXFta+0uKplPI3gd887/dCiMeXrUSvGhUbXx6+DnZWbHw5qNj48iCEuDTVcZVN3CZwnPyk5ehnZx5zlIpxUi6iVlBBBRVU8BXjKo79EdAthOgQQpiA7wG//8wxvw/8taOv/wLw4UX59QoqqKCCCr48XJqKkVIWhBC/CPxXyu2O/0pKOSOE+D+Bx1LK3wf+JfA7QoglIErZ+b8Izk3TvEao2Pjy8HWws2Ljy0HFxpeHS+28tHhaQQUVVFDB1wtvJlFCBRVUUMFPMSqOvYIKKqjgDcNr69iFEH9XCCGFEKeVGV4xhBD/UAgxKYQYF0L8SAjR/KptehZCiH8ihJg/svM/CSHOJrh5hRBC/EUhxIwQoiSEeK3azIQQ3xFCLAghloQQ/+BV23MWhBD/SggROpojeS0hhGgVQvyxEGL26F7/nVdt07MQQliEEA+FEBNHNr62U5BCCL0QYkwI8V8uOu61dOxCiFbg28Daq7blHPwTKeWIlHIU+C/A//6qDToD7wNDUsoRwA/80iu25yxMA38e+G+v2pDjOEaj8aeBAeAvCSEGXq1VZ+JfA9951UZcggLwd6WUA8Bd4H9+Da9lDviWlPI6MAp8Rwhx9xXbdB7+DjB32UGvpWMHfh34+2hMTa8ZpJTxY99W8RraKaX8kZRSUw2+T3n+4LWClHJOSvns9PHrgNvAkpRyWUp5CPx74OdfsU2nIKX8b5S70F5bSCm3pZRPj75OUHZKV9OP/Iogy9DksYxH/167z7QQogX4H4DfuuzY186xCyF+HtiUUk68alsughDi/xJCrAN/mdczYj+OvwH84as24muEa3BCgmmD18wZfR0hhPACN4AHr9aS0zhKcYwDIeB9KeVrZyPwzygHvJeqc78SPnYhxAfAWVI3vwz8b5TTMK8UF9kopfzPUspfBn75iBTtF4EXY/T5ArjMxqNjfpnydvh3v0rbNFzFxgrefAgh7MDvAf/rMzve1wJSyiIwelSL+k9CiCEp5WtTuxBC/BkgJKV8IoT42cuOfyWOXUr5p876uRBiGOgAJo4Y7FqAp0KI21LKna/QxHNtPAO/C/yQV+DYL7NRCPHXgT8D/MlXNQn8HNfxdcJVaDQquCKEEEbKTv13pZTff9X2XAQpZUwI8ceUaxevjWMH/gTwZ4UQ3wUsQLUQ4t9KKf/KWQe/VqkYKeWUlLJeSumVUnopb4FvftVO/TIIIbqPffvzwPyrsuU8iLI4yt8H/qyUMv2q7fma4So0GhVcAaIcof1LYE5K+Wuv2p6zIISo07rGhBBWytoTr9VnWkr5S1LKliO/+D3KtC1nOnV4zRz71wj/SAgxLYSYpJw2eu1auID/B3AA7x+1Zf6/r9qgZyGE+HNCiA3gHeAPjnj9XzmOis4ajcYc8B+llDOv1qrTEEL8O+Ae0CuE2BBC/M1XbdMZ+BPAXwW+dfQcjh9Fna8TmoA/Pvo8P6KcY7+wnfB1R4VSoIIKKqjgDUMlYq+gggoqeMNQcewVVFBBBW8YKo69ggoqqOANQ8WxV1BBBRW8Yag49goqqKCCNwwVx15BBRVU8Iah4tgrqKCCCt4w/HehDWdSi0UJFAAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Don't worry about understanding this code!\n", "# It's just for the diagram below\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy import stats\n", "\n", "#Create dataset\n", "dataset = np.random.randn(25)\n", "\n", "# Create another rugplot\n", "sns.rugplot(dataset);\n", "\n", "# Set up the x-axis for the plot\n", "x_min = dataset.min() - 2\n", "x_max = dataset.max() + 2\n", "\n", "# 100 equally spaced points from x_min to x_max\n", "x_axis = np.linspace(x_min,x_max,100)\n", "\n", "# Set up the bandwidth, for info on this:\n", "url = 'http://en.wikipedia.org/wiki/Kernel_density_estimation#Practical_estimation_of_the_bandwidth'\n", "\n", "bandwidth = ((4*dataset.std()**5)/(3*len(dataset)))**.2\n", "\n", "\n", "# Create an empty kernel list\n", "kernel_list = []\n", "\n", "# Plot each basis function\n", "for data_point in dataset:\n", " \n", " # Create a kernel for each point and append to list\n", " kernel = stats.norm(data_point,bandwidth).pdf(x_axis)\n", " kernel_list.append(kernel)\n", " \n", " #Scale for plotting\n", " kernel = kernel / kernel.max()\n", " kernel = kernel * .4\n", " plt.plot(x_axis,kernel,color = 'grey',alpha=0.5)\n", "\n", "plt.ylim(0,1)" ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 37, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# To get the kde plot we can sum these basis functions.\n", "\n", "# Plot the sum of the basis function\n", "sum_of_kde = np.sum(kernel_list,axis=0)\n", "\n", "# Plot figure\n", "fig = plt.plot(x_axis,sum_of_kde,color='indianred')\n", "\n", "# Add the initial rugplot\n", "sns.rugplot(dataset,c = 'indianred')\n", "\n", "# Get rid of y-tick marks\n", "plt.yticks([])\n", "\n", "# Set title\n", "plt.suptitle(\"Sum of the Basis Functions\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "So with our tips dataset:" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "sns.kdeplot(tips['total_bill'])\n", "sns.rugplot(tips['total_bill'])" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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