commit d57275d772c43c31857c9f2c06fdcdfb48c4158b Author: paul-corbalan Date: Mon Aug 21 17:12:19 2023 +0200 Import diff --git a/.DS_Store b/.DS_Store new file mode 100644 index 0000000..02fd18d Binary files /dev/null and b/.DS_Store differ diff --git a/.Rhistory b/.Rhistory new file mode 100644 index 0000000..e69de29 diff --git a/.vscode/settings.json b/.vscode/settings.json new file mode 100644 index 0000000..af43869 --- /dev/null +++ b/.vscode/settings.json @@ -0,0 +1,3 @@ +{ + "python.pythonPath": "C:\\Users\\Main-user\\anaconda3\\envs\\pyfinance\\python.exe" +} \ No newline at end of file diff --git a/01-Python-cours-accéléré/.ipynb_checkpoints/Python Cours Accéléré Exercices - Solutions-checkpoint.ipynb b/01-Python-cours-accéléré/.ipynb_checkpoints/Python Cours Accéléré Exercices - Solutions-checkpoint.ipynb new file mode 100644 index 0000000..f9bc351 --- /dev/null +++ b/01-Python-cours-accéléré/.ipynb_checkpoints/Python Cours Accéléré Exercices - Solutions-checkpoint.ipynb @@ -0,0 +1,444 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Python Cours Accéléré - Exercices \n", + "\n", + "Cet exercice est facultatif, il permet de tester votre niveau Python. Les questions traitent au maximum le thème financier, mais ne vous attardez pas sur ces tâches, beaucoup d’entre elles n’ont aucune signification et n’ont pas de sens. Si vous trouvez cela extrêmement difficile, vous n'êtes probablement pas encore prêt pour le reste de ce cours et n'avez pas assez d'expérience en programmation pour continuer. Je vous suggère de prendre un autre cours plus orienté vers les débutants complets, tels que [Formation complète Python](https://www.udemy.com/course/python-datascience/?referralCode=9DB381B321631A0703C2)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Exercices\n", + "\n", + "Répondez aux questions ou effectuez les exercices en gras ci-dessous, utilisez la méthode spécifique décrite le cas échéant." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Exercice #1\n", + "\n", + "Soit un prix donné price = 300, utilisez python pour trouver la raciné carrée du prix." + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "price = 300" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "17.320508075688775" + ] + }, + "execution_count": 2, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "17.320508075688775" + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Exercice #2\n", + "\n", + "Soit la chaîne de caractères:\n", + "\n", + " stock_index = \"SP500\"\n", + " \n", + "Extraire '500' de la chaîne de caractères à l'aide de la méthode d'indexation." + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "stock_index = \"SP500\"" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'500'" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Exercice #3\n", + "\n", + "** Soient les variables:**\n", + "\n", + " stock_index = \"SP500\"\n", + " price = 300\n", + "\n", + "** Utilisez .format() pour afficher la phrase suivante: **\n", + "\n", + " Le SP500 est à 300 aujourd'hui." + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "stock_index = \"SP500\"\n", + "price = 300" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Le SP500 est à 300 aujourd'hui\n" + ] + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Exercice #4\n", + "\n", + "** Soit la variable d'un dictionnaire imbriqué avec les listes imbriquées suivantes: **\n", + "\n", + " stock_info = {'sp500':{'today':300,'yesterday': 250}, 'info':['Time',[24,7,365]]}\n", + " \n", + "** Utilisez l'indexation et les clés correspondantes pour extraire les éléments suivants:**\n", + "\n", + "* Le prix du SP500 d'hier (250)\n", + "* Le nombre 365 imbriqué à l'intérieur d'une liste imnbriquée au niveau de la clé 'info'." + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [], + "source": [ + "stock_info = {'sp500':{'today':300,'yesterday': 250}, 'info':['Time',[24,7,365]]}" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "250" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "365" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Exercice #5\n", + "\n", + "** Soient des chaînes de caractères données avec cette forme où la dernière valeur source est toujours séparée par 2 tirets -- **\n", + "\n", + " \"PRICE:345.324:SOURCE--QUANDL\"\n", + " \n", + "**Créer une fonction nommée source_finder() qui retourne la source. Par exemple, la chaîne de caractères ci-dessus passée en argument dans la fonction devrait retourner \"QUANDL\"**" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'QUANDL'" + ] + }, + "execution_count": 12, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "source_finder(\"PRICE:345.324:SOURCE--QUANDL\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Exercice #6\n", + "\n", + "** Créer une fonction nommée price_finder() qui retourne True si le mot 'prix' est dans la chaîne de caractères. Votre fonction doit fonctionner même si 'Prix' commence par une majuscule ou suivi directement d'une ponctuation ('prix!') **" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "True" + ] + }, + "execution_count": 14, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "price_finder(\"Quel est le prix?\")" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "True" + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "price_finder(\"MEC, QUEL EST LE PRIX!!!\")" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "True" + ] + }, + "execution_count": 16, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "price_finder(\"Le prix est 300\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Exercice #7\n", + "\n", + "** Créer une fonction nommée count_price() qui compte le nombre de fois que le mot \"prix\" apparaît dans la chaîne de caractères. Prendre en compte la majuscule et si le mot \"prix\" est proche d'une ponctuation. **" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [], + "source": [ + "s = \"Wow quel bon prix, très très bon Prix! J'ai dit prix 3 fois.\"" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "3" + ] + }, + "execution_count": 19, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "count_price(s)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Exercice #8\n", + "\n", + "**Créer une fonction nommée avg_price qui prend en paramètre une liste de nombres (prix d'action) et en calcule la moyenne (somme de tous les nombres divisée par le nombre d'éléments de la liste). Cela doit retourner un décimal float. **" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "4.0" + ] + }, + "execution_count": 21, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "avg_price([3,4,5])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Bon Travail!" + ] + } + ], + "metadata": { + "anaconda-cloud": {}, + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.7.5" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} diff --git a/01-Python-cours-accéléré/.ipynb_checkpoints/Python Cours Accéléré Exercices-checkpoint.ipynb b/01-Python-cours-accéléré/.ipynb_checkpoints/Python Cours Accéléré Exercices-checkpoint.ipynb new file mode 100644 index 0000000..d2e4e16 --- /dev/null +++ b/01-Python-cours-accéléré/.ipynb_checkpoints/Python Cours Accéléré Exercices-checkpoint.ipynb @@ -0,0 +1,507 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Python Cours Accéléré - Solutions\n", + "\n", + "Cet exercice est facultatif, il permet de tester votre niveau Python. Les questions traitent au maximum le thème financier, mais ne vous attardez pas sur ces tâches, beaucoup d’entre elles n’ont aucune signification et n’ont pas de sens. Si vous trouvez cela extrêmement difficile, vous n'êtes probablement pas encore prêt pour le reste de ce cours et n'avez pas assez d'expérience en programmation pour continuer. Je vous suggère de prendre un autre cours plus orienté vers les débutants complets, tels que [Formation complète Python](https://www.udemy.com/course/python-datascience/?referralCode=9DB381B321631A0703C2)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Exercices\n", + "\n", + "Répondez aux questions ou effectuez les exercices en gras ci-dessous, utilisez la méthode spécifique décrite le cas échéant." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Exercice #1\n", + "\n", + "Soit un prix donné price = 300, utilisez python pour trouver la raciné carrée du prix." + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "price = 300" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "17.320508075688775" + ] + }, + "execution_count": 2, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "price**(0.5)" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "17.320508075688775" + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "import math\n", + "math.sqrt(price)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Exercice #2\n", + "\n", + "Soit la chaîne de caractères:\n", + "\n", + " stock_index = \"SP500\"\n", + " \n", + "Extraire '500' de la chaîne de caractères à l'aide de la méthode d'indexation." + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "stock_index = \"SP500\"" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'500'" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "stock_index[2:]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Exercice #3\n", + "\n", + "** Soient les variables:**\n", + "\n", + " stock_index = \"SP500\"\n", + " price = 300\n", + "\n", + "** Utilisez .format() pour afficher la phrase suivante: **\n", + "\n", + " Le SP500 est à 300 aujourd'hui." + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "stock_index = \"SP500\"\n", + "price = 300" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Le SP500 est à 300 aujourd'hui\n" + ] + } + ], + "source": [ + "print(\"Le {} est à {} aujourd'hui\".format(stock_index,price))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Exercice #4\n", + "\n", + "** Soit la variable d'un dictionnaire imbriqué avec les listes imbriquées suivantes: **\n", + "\n", + " stock_info = {'sp500':{'today':300,'yesterday': 250}, 'info':['Time',[24,7,365]]}\n", + " \n", + "** Utilisez l'indexation et les clés correspondantes pour extraire les éléments suivants:**\n", + "\n", + "* Le prix du SP500 d'hier (250)\n", + "* Le nombre 365 imbriqué à l'intérieur d'une liste imnbriquée au niveau de la clé 'info'." + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [], + "source": [ + "stock_info = {'sp500':{'today':300,'yesterday': 250}, 'info':['Time',[24,7,365]]}" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "dict_keys(['sp500', 'info'])" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "stock_info.keys()" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "250" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "stock_info['sp500']['yesterday']" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "365" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "stock_info['info'][1][2]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Exercice #5\n", + "\n", + "** Soient des chaînes de caractères données avec cette forme où la dernière valeur source est toujours séparée par 2 tirets -- **\n", + "\n", + " \"PRICE:345.324:SOURCE--QUANDL\"\n", + " \n", + "**Créer une fonction nommée source_finder() qui retourne la source. Par exemple, la chaîne de caractères ci-dessus passée en argument dans la fonction devrait retourner \"QUANDL\"**" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [], + "source": [ + "def source_finder(s):\n", + " return s.split('--')[-1]" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'QUANDL'" + ] + }, + "execution_count": 13, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "source_finder(\"PRICE:345.324:SOURCE--QUANDL\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Exercice #6\n", + "\n", + "** Créer une fonction nommée price_finder() qui retourne True si le mot 'prix' est dans la chaîne de caractères. Votre fonction doit fonctionner même si 'Prix' commence par une majuscule ou suivi directement d'une ponctuation ('prix!') **" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [], + "source": [ + "def price_finder(s):\n", + " return 'prix' in s.lower()" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "True" + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "price_finder(\"Quel est le prix?\")" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "True" + ] + }, + "execution_count": 16, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "price_finder(\"MEC, QUEL EST LE PRIX!!!\")" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "True" + ] + }, + "execution_count": 17, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "price_finder(\"Le prix est 300\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Exercice #7\n", + "\n", + "** Créer une fonction nommée count_price() qui compte le nombre de fois que le mot \"prix\" apparaît dans la chaîne de caractères. Prendre en compte la majuscule et si le mot \"prix\" est proche d'une ponctuation. **" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [], + "source": [ + "def count_price(s):\n", + " count = 0\n", + " \n", + " for word in s.lower().split():\n", + " # Besoin d'utiliser in, == ne fonctionne pas avec la ponctuation\n", + " if 'prix' in word:\n", + " count = count + 1\n", + " \n", + " # Attention à l'indentation!\n", + " return count" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [], + "source": [ + "def count_price(s):\n", + " return s.lower().count('prix')" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [], + "source": [ + "s = \"Wow quel bon prix, très très bon Prix! J'ai dit prix 3 fois.\"" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "3" + ] + }, + "execution_count": 21, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "count_price(s)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Exercice #8\n", + "\n", + "**Créer une fonction nommée avg_price qui prend en paramètre une liste de nombres (prix d'action) et en calcule la moyenne (somme de tous les nombres divisée par le nombre d'éléments de la liste). Cela doit retourner un décimal float. **" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [], + "source": [ + "def avg_price(stocks):\n", + " return sum(stocks)/len(stocks)" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "4.0" + ] + }, + "execution_count": 23, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "avg_price([3,4,5])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Bon Travail!" + ] + } + ], + "metadata": { + "anaconda-cloud": {}, + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.7.5" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} diff --git a/01-Python-cours-accéléré/.ipynb_checkpoints/Python Cours Accéléré-checkpoint.ipynb b/01-Python-cours-accéléré/.ipynb_checkpoints/Python Cours Accéléré-checkpoint.ipynb new file mode 100644 index 0000000..973a930 --- /dev/null +++ b/01-Python-cours-accéléré/.ipynb_checkpoints/Python Cours Accéléré-checkpoint.ipynb @@ -0,0 +1,2058 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Python Crash Course\n", + "\n", + "Please note, this is not meant to be a comprehensive overview of Python or programming in general, if you have no programming experience, you should probably take my other course: [Complete Python Bootcamp](https://www.udemy.com/complete-python-bootcamp/?couponCode=PY20) instead.\n", + "\n", + "**This notebook is just a code reference for the videos, no written explanations here**\n", + "\n", + "This notebook will just go through the basic topics in order:\n", + "\n", + "* Data types\n", + " * Numbers\n", + " * Strings\n", + " * Printing\n", + " * Lists\n", + " * Dictionaries\n", + " * Booleans\n", + " * Tuples \n", + " * Sets\n", + "* Comparison Operators\n", + "* if,elif, else Statements\n", + "* for Loops\n", + "* while Loops\n", + "* range()\n", + "* list comprehension\n", + "* functions\n", + "* lambda expressions\n", + "* map and filter\n", + "* methods\n", + "____" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Data types\n", + "\n", + "### Numbers" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "2" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "1 + 1" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "3" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "1 * 3" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.5" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "1 / 2" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "16" + ] + }, + "execution_count": 1, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "2 ** 4" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "4 % 2" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "1" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "5 % 2" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "50" + ] + }, + "execution_count": 12, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "(2 + 3) * (5 + 5)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Variable Assignment" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# Can not start with number or special characters\n", + "name_of_var = 2" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "x = 2\n", + "y = 3" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "z = x + y" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "5" + ] + }, + "execution_count": 16, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "z" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Strings" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'single quotes'" + ] + }, + "execution_count": 17, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "'single quotes'" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'double quotes'" + ] + }, + "execution_count": 18, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "\"double quotes\"" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "\" wrap lot's of other quotes\"" + ] + }, + "execution_count": 19, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "\" wrap lot's of other quotes\"" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Printing" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "x = 'hello'" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'hello'" + ] + }, + "execution_count": 21, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "x" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "hello\n" + ] + } + ], + "source": [ + "print(x)" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "num = 12\n", + "name = 'Sam'" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "My number is: 12, and my name is: Sam\n" + ] + } + ], + "source": [ + "print('My number is: {one}, and my name is: {two}'.format(one=num,two=name))" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "My number is: 12, and my name is: Sam\n" + ] + } + ], + "source": [ + "print('My number is: {}, and my name is: {}'.format(num,name))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Lists" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[1, 2, 3]" + ] + }, + "execution_count": 26, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "[1,2,3]" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "['hi', 1, [1, 2]]" + ] + }, + "execution_count": 27, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "['hi',1,[1,2]]" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "my_list = ['a','b','c']" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "my_list.append('d')" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "['a', 'b', 'c', 'd']" + ] + }, + "execution_count": 30, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "my_list" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'a'" + ] + }, + "execution_count": 31, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "my_list[0]" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'b'" + ] + }, + "execution_count": 32, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "my_list[1]" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "['b', 'c', 'd']" + ] + }, + "execution_count": 33, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "my_list[1:]" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "['a']" + ] + }, + "execution_count": 34, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "my_list[:1]" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "my_list[0] = 'NEW'" + ] + }, + { + "cell_type": "code", + "execution_count": 98, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "['NEW', 'b', 'c', 'd']" + ] + }, + "execution_count": 98, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "my_list" + ] + }, + { + "cell_type": "code", + "execution_count": 99, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "nest = [1,2,3,[4,5,['target']]]" + ] + }, + { + "cell_type": "code", + "execution_count": 100, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[4, 5, ['target']]" + ] + }, + "execution_count": 100, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "nest[3]" + ] + }, + { + "cell_type": "code", + "execution_count": 101, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "['target']" + ] + }, + "execution_count": 101, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "nest[3][2]" + ] + }, + { + "cell_type": "code", + "execution_count": 102, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'target'" + ] + }, + "execution_count": 102, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "nest[3][2][0]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Dictionaries" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "d = {'key1':'item1','key2':'item2'}" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "{'key1': 'item1', 'key2': 'item2'}" + ] + }, + "execution_count": 38, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "d" + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'item1'" + ] + }, + "execution_count": 39, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "d['key1']" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Booleans" + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "True" + ] + }, + "execution_count": 40, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "True" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "False" + ] + }, + "execution_count": 41, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "False" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Tuples " + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "t = (1,2,3)" + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "1" + ] + }, + "execution_count": 43, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "t[0]" + ] + }, + { + "cell_type": "code", + "execution_count": 44, + "metadata": {}, + "outputs": [ + { + "ename": "TypeError", + "evalue": "'tuple' object does not support item assignment", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mTypeError\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mt\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;36m0\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;34m'NEW'\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m", + "\u001b[0;31mTypeError\u001b[0m: 'tuple' object does not support item assignment" + ] + } + ], + "source": [ + "t[0] = 'NEW'" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Sets" + ] + }, + { + "cell_type": "code", + "execution_count": 45, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "{1, 2, 3}" + ] + }, + "execution_count": 45, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "{1,2,3}" + ] + }, + { + "cell_type": "code", + "execution_count": 46, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "{1, 2, 3}" + ] + }, + "execution_count": 46, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "{1,2,3,1,2,1,2,3,3,3,3,2,2,2,1,1,2}" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Comparison Operators" + ] + }, + { + "cell_type": "code", + "execution_count": 47, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "False" + ] + }, + "execution_count": 47, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "1 > 2" + ] + }, + { + "cell_type": "code", + "execution_count": 48, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "True" + ] + }, + "execution_count": 48, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "1 < 2" + ] + }, + { + "cell_type": "code", + "execution_count": 49, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "True" + ] + }, + "execution_count": 49, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "1 >= 1" + ] + }, + { + "cell_type": "code", + "execution_count": 50, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "True" + ] + }, + "execution_count": 50, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "1 <= 4" + ] + }, + { + "cell_type": "code", + "execution_count": 51, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "True" + ] + }, + "execution_count": 51, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "1 == 1" + ] + }, + { + "cell_type": "code", + "execution_count": 52, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "False" + ] + }, + "execution_count": 52, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "'hi' == 'bye'" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Logic Operators" + ] + }, + { + "cell_type": "code", + "execution_count": 53, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "False" + ] + }, + "execution_count": 53, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "(1 > 2) and (2 < 3)" + ] + }, + { + "cell_type": "code", + "execution_count": 54, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "True" + ] + }, + "execution_count": 54, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "(1 > 2) or (2 < 3)" + ] + }, + { + "cell_type": "code", + "execution_count": 55, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "True" + ] + }, + "execution_count": 55, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "(1 == 2) or (2 == 3) or (4 == 4)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## if,elif, else Statements" + ] + }, + { + "cell_type": "code", + "execution_count": 56, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Yep!\n" + ] + } + ], + "source": [ + "if 1 < 2:\n", + " print('Yep!')" + ] + }, + { + "cell_type": "code", + "execution_count": 57, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "yep!\n" + ] + } + ], + "source": [ + "if 1 < 2:\n", + " print('yep!')" + ] + }, + { + "cell_type": "code", + "execution_count": 58, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "first\n" + ] + } + ], + "source": [ + "if 1 < 2:\n", + " print('first')\n", + "else:\n", + " print('last')" + ] + }, + { + "cell_type": "code", + "execution_count": 59, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "last\n" + ] + } + ], + "source": [ + "if 1 > 2:\n", + " print('first')\n", + "else:\n", + " print('last')" + ] + }, + { + "cell_type": "code", + "execution_count": 60, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "middle\n" + ] + } + ], + "source": [ + "if 1 == 2:\n", + " print('first')\n", + "elif 3 == 3:\n", + " print('middle')\n", + "else:\n", + " print('Last')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## for Loops" + ] + }, + { + "cell_type": "code", + "execution_count": 61, + "metadata": {}, + "outputs": [], + "source": [ + "seq = [1,2,3,4,5]" + ] + }, + { + "cell_type": "code", + "execution_count": 62, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "1\n", + "2\n", + "3\n", + "4\n", + "5\n" + ] + } + ], + "source": [ + "for item in seq:\n", + " print(item)" + ] + }, + { + "cell_type": "code", + "execution_count": 63, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Yep\n", + "Yep\n", + "Yep\n", + "Yep\n", + "Yep\n" + ] + } + ], + "source": [ + "for item in seq:\n", + " print('Yep')" + ] + }, + { + "cell_type": "code", + "execution_count": 64, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "2\n", + "4\n", + "6\n", + "8\n", + "10\n" + ] + } + ], + "source": [ + "for jelly in seq:\n", + " print(jelly+jelly)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## while Loops" + ] + }, + { + "cell_type": "code", + "execution_count": 65, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "i is: 1\n", + "i is: 2\n", + "i is: 3\n", + "i is: 4\n" + ] + } + ], + "source": [ + "i = 1\n", + "while i < 5:\n", + " print('i is: {}'.format(i))\n", + " i = i+1" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## range()" + ] + }, + { + "cell_type": "code", + "execution_count": 66, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "range(0, 5)" + ] + }, + "execution_count": 66, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "range(5)" + ] + }, + { + "cell_type": "code", + "execution_count": 67, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0\n", + "1\n", + "2\n", + "3\n", + "4\n" + ] + } + ], + "source": [ + "for i in range(5):\n", + " print(i)" + ] + }, + { + "cell_type": "code", + "execution_count": 68, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[0, 1, 2, 3, 4]" + ] + }, + "execution_count": 68, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "list(range(5))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## list comprehension" + ] + }, + { + "cell_type": "code", + "execution_count": 69, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "x = [1,2,3,4]" + ] + }, + { + "cell_type": "code", + "execution_count": 70, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[1, 4, 9, 16]\n" + ] + } + ], + "source": [ + "out = []\n", + "for item in x:\n", + " out.append(item**2)\n", + "print(out)" + ] + }, + { + "cell_type": "code", + "execution_count": 71, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[1, 4, 9, 16]" + ] + }, + "execution_count": 71, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "[item**2 for item in x]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## functions" + ] + }, + { + "cell_type": "code", + "execution_count": 72, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "def my_func(param1='default'):\n", + " \"\"\"\n", + " Docstring goes here.\n", + " \"\"\"\n", + " print(param1)" + ] + }, + { + "cell_type": "code", + "execution_count": 73, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 73, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "my_func" + ] + }, + { + "cell_type": "code", + "execution_count": 74, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "default\n" + ] + } + ], + "source": [ + "my_func()" + ] + }, + { + "cell_type": "code", + "execution_count": 75, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "new param\n" + ] + } + ], + "source": [ + "my_func('new param')" + ] + }, + { + "cell_type": "code", + "execution_count": 76, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "new param\n" + ] + } + ], + "source": [ + "my_func(param1='new param')" + ] + }, + { + "cell_type": "code", + "execution_count": 77, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "def square(x):\n", + " return x**2" + ] + }, + { + "cell_type": "code", + "execution_count": 78, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "out = square(2)" + ] + }, + { + "cell_type": "code", + "execution_count": 79, + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "4\n" + ] + } + ], + "source": [ + "print(out)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## lambda expressions" + ] + }, + { + "cell_type": "code", + "execution_count": 80, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "def times2(var):\n", + " return var*2" + ] + }, + { + "cell_type": "code", + "execution_count": 81, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "4" + ] + }, + "execution_count": 81, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "times2(2)" + ] + }, + { + "cell_type": "code", + "execution_count": 82, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + ">" + ] + }, + "execution_count": 82, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "lambda var: var*2" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## map and filter" + ] + }, + { + "cell_type": "code", + "execution_count": 83, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "seq = [1,2,3,4,5]" + ] + }, + { + "cell_type": "code", + "execution_count": 84, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 84, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "map(times2,seq)" + ] + }, + { + "cell_type": "code", + "execution_count": 85, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[2, 4, 6, 8, 10]" + ] + }, + "execution_count": 85, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "list(map(times2,seq))" + ] + }, + { + "cell_type": "code", + "execution_count": 86, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[2, 4, 6, 8, 10]" + ] + }, + "execution_count": 86, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "list(map(lambda var: var*2,seq))" + ] + }, + { + "cell_type": "code", + "execution_count": 87, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 87, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "filter(lambda item: item%2 == 0,seq)" + ] + }, + { + "cell_type": "code", + "execution_count": 88, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[2, 4]" + ] + }, + "execution_count": 88, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "list(filter(lambda item: item%2 == 0,seq))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## methods" + ] + }, + { + "cell_type": "code", + "execution_count": 111, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "st = 'hello my name is Sam'" + ] + }, + { + "cell_type": "code", + "execution_count": 112, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'hello my name is sam'" + ] + }, + "execution_count": 112, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "st.lower()" + ] + }, + { + "cell_type": "code", + "execution_count": 113, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'HELLO MY NAME IS SAM'" + ] + }, + "execution_count": 113, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "st.upper()" + ] + }, + { + "cell_type": "code", + "execution_count": 103, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "['hello', 'my', 'name', 'is', 'Sam']" + ] + }, + "execution_count": 103, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "st.split()" + ] + }, + { + "cell_type": "code", + "execution_count": 104, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "tweet = 'Go Sports! #Sports'" + ] + }, + { + "cell_type": "code", + "execution_count": 106, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "['Go Sports! ', 'Sports']" + ] + }, + "execution_count": 106, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "tweet.split('#')" + ] + }, + { + "cell_type": "code", + "execution_count": 107, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'Sports'" + ] + }, + "execution_count": 107, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "tweet.split('#')[1]" + ] + }, + { + "cell_type": "code", + "execution_count": 92, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "{'key1': 'item1', 'key2': 'item2'}" + ] + }, + "execution_count": 92, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "d" + ] + }, + { + "cell_type": "code", + "execution_count": 93, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "dict_keys(['key2', 'key1'])" + ] + }, + "execution_count": 93, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "d.keys()" + ] + }, + { + "cell_type": "code", + "execution_count": 94, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "dict_items([('key2', 'item2'), ('key1', 'item1')])" + ] + }, + "execution_count": 94, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "d.items()" + ] + }, + { + "cell_type": "code", + "execution_count": 95, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "lst = [1,2,3]" + ] + }, + { + "cell_type": "code", + "execution_count": 96, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "3" + ] + }, + "execution_count": 96, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "lst.pop()" + ] + }, + { + "cell_type": "code", + "execution_count": 108, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[1, 2]" + ] + }, + "execution_count": 108, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "lst" + ] + }, + { + "cell_type": "code", + "execution_count": 109, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "False" + ] + }, + "execution_count": 109, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "'x' in [1,2,3]" + ] + }, + { + "cell_type": "code", + "execution_count": 110, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "True" + ] + }, + "execution_count": 110, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "'x' in ['x','y','z']" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Great Job!" + ] + } + ], + "metadata": { + "anaconda-cloud": {}, + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.7.5" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} diff --git a/01-Python-cours-accéléré/Python Cours Accéléré Exercices - Solutions.ipynb b/01-Python-cours-accéléré/Python Cours Accéléré Exercices - Solutions.ipynb new file mode 100644 index 0000000..c05f234 --- /dev/null +++ b/01-Python-cours-accéléré/Python Cours Accéléré Exercices - Solutions.ipynb @@ -0,0 +1,507 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Python Cours Accéléré - Solutions\n", + "\n", + "Cet exercice est facultatif, il permet de tester votre niveau Python. Les questions traitent au maximum le thème financier, mais ne vous attardez pas sur ces tâches, beaucoup d’entre elles n’ont aucune signification et n’ont pas de sens. Si vous trouvez cela extrêmement difficile, vous n'êtes probablement pas encore prêt pour le reste de ce cours et n'avez pas assez d'expérience en programmation pour continuer. Je vous suggère de prendre un autre cours plus orienté vers les débutants complets, tels que [Formation complète Python](https://www.udemy.com/course/python-datascience/?referralCode=9DB381B321631A0703C2)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Exercices\n", + "\n", + "Répondez aux questions ou effectuez les exercices en gras ci-dessous, utilisez la méthode spécifique décrite le cas échéant." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Exercice #1\n", + "\n", + "Soit un prix donné price = 300, utilisez python pour trouver la raciné carrée du prix." + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "price = 300" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "17.320508075688775" + ] + }, + "execution_count": 2, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "price**(0.5)" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "17.320508075688775" + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "import math\n", + "math.sqrt(price)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Exercice #2\n", + "\n", + "Soit la chaîne de caractères :\n", + "\n", + " stock_index = \"SP500\"\n", + " \n", + "Extraire '500' de la chaîne de caractères à l'aide de la méthode d'indexation." + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "stock_index = \"SP500\"" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'500'" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "stock_index[2:]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Exercice #3\n", + "\n", + "**Soient les variables :**\n", + "\n", + " stock_index = \"SP500\"\n", + " price = 300\n", + "\n", + "**Utilisez .format() pour afficher la phrase suivante :**\n", + "\n", + " Le SP500 est à 300 aujourd'hui." + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "stock_index = \"SP500\"\n", + "price = 300" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Le SP500 est à 300 aujourd'hui\n" + ] + } + ], + "source": [ + "print(\"Le {} est à {} aujourd'hui\".format(stock_index,price))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Exercice #4\n", + "\n", + "**Soit la variable d'un dictionnaire imbriqué avec les listes imbriquées suivantes :**\n", + "\n", + " stock_info = {'sp500':{'today':300,'yesterday': 250}, 'info':['Time',[24,7,365]]}\n", + " \n", + "**Utilisez l'indexation et les clés correspondantes pour extraire les éléments suivants :**\n", + "\n", + "* Le prix du SP500 d'hier (250)\n", + "* Le nombre 365 imbriqué à l'intérieur d'une liste imnbriquée au niveau de la clé 'info'." + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [], + "source": [ + "stock_info = {'sp500':{'today':300,'yesterday': 250}, 'info':['Time',[24,7,365]]}" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "dict_keys(['sp500', 'info'])" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "stock_info.keys()" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "250" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "stock_info['sp500']['yesterday']" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "365" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "stock_info['info'][1][2]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Exercice #5\n", + "\n", + "**Soient des chaînes de caractères données avec cette forme où la dernière valeur source est toujours séparée par 2 tirets --**\n", + "\n", + " \"PRICE:345.324:SOURCE--QUANDL\"\n", + " \n", + "**Créer une fonction nommée source_finder() qui retourne la source. Par exemple, la chaîne de caractères ci-dessus passée en argument dans la fonction devrait retourner \"QUANDL\"**" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [], + "source": [ + "def source_finder(s):\n", + " return s.split('--')[-1]" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'QUANDL'" + ] + }, + "execution_count": 13, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "source_finder(\"PRICE:345.324:SOURCE--QUANDL\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Exercice #6\n", + "\n", + "**Créer une fonction nommée price_finder() qui retourne True si le mot 'prix' est dans la chaîne de caractères. Votre fonction doit fonctionner même si 'Prix' commence par une majuscule ou suivi directement d'une ponctuation ('prix!')**" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [], + "source": [ + "def price_finder(s):\n", + " return 'prix' in s.lower()" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "True" + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "price_finder(\"Quel est le prix?\")" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "True" + ] + }, + "execution_count": 16, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "price_finder(\"MEC, QUEL EST LE PRIX!!!\")" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "True" + ] + }, + "execution_count": 17, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "price_finder(\"Le prix est 300\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Exercice #7\n", + "\n", + "**Créer une fonction nommée count_price() qui compte le nombre de fois que le mot \"prix\" apparaît dans la chaîne de caractères. Prendre en compte la majuscule et si le mot \"prix\" est proche d'une ponctuation.**" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [], + "source": [ + "def count_price(s):\n", + " count = 0\n", + " \n", + " for word in s.lower().split():\n", + " # Besoin d'utiliser in, == ne fonctionne pas avec la ponctuation\n", + " if 'prix' in word:\n", + " count = count + 1\n", + " \n", + " # Attention à l'indentation!\n", + " return count" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [], + "source": [ + "def count_price(s):\n", + " return s.lower().count('prix')" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [], + "source": [ + "s = \"Wow quel bon prix, très très bon Prix! J'ai dit prix 3 fois.\"" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "3" + ] + }, + "execution_count": 21, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "count_price(s)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Exercice #8\n", + "\n", + "**Créer une fonction nommée avg_price qui prend en paramètre une liste de nombres (prix d'action) et en calcule la moyenne (somme de tous les nombres divisée par le nombre d'éléments de la liste). Cela doit retourner un décimal float.**" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [], + "source": [ + "def avg_price(stocks):\n", + " return sum(stocks)/len(stocks)" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "4.0" + ] + }, + "execution_count": 23, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "avg_price([3,4,5])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Bon Travail!" + ] + } + ], + "metadata": { + "anaconda-cloud": {}, + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.7.7" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} diff --git a/01-Python-cours-accéléré/Python Cours Accéléré Exercices.ipynb b/01-Python-cours-accéléré/Python Cours Accéléré Exercices.ipynb new file mode 100644 index 0000000..38f009d --- /dev/null +++ b/01-Python-cours-accéléré/Python Cours Accéléré Exercices.ipynb @@ -0,0 +1,444 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Python Cours Accéléré - Exercices\n", + "\n", + "Cet exercice est facultatif, il permet de tester votre niveau Python. Les questions traitent au maximum le thème financier, mais ne vous attardez pas sur ces tâches, beaucoup d’entre elles n’ont aucune signification et n’ont pas de sens. Si vous trouvez cela extrêmement difficile, vous n'êtes probablement pas encore prêt pour le reste de ce cours et n'avez pas assez d'expérience en programmation pour continuer. Je vous suggère de prendre un autre cours plus orienté vers les débutants complets, tels que [Formation complète Python](https://www.udemy.com/course/python-datascience/?referralCode=9DB381B321631A0703C2)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Exercices\n", + "\n", + "Répondez aux questions ou effectuez les exercices en gras ci-dessous, utilisez la méthode spécifique décrite le cas échéant." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Exercice #1\n", + "\n", + "Soit un prix donné price = 300, utilisez python pour trouver la raciné carrée du prix." + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "price = 300" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "17.320508075688775" + ] + }, + "execution_count": 2, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "17.320508075688775" + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Exercice #2\n", + "\n", + "Soit la chaîne de caractères :\n", + "\n", + " stock_index = \"SP500\"\n", + " \n", + "Extraire '500' de la chaîne de caractères à l'aide de la méthode d'indexation." + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "stock_index = \"SP500\"" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'500'" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Exercice #3\n", + "\n", + "**Soient les variables :**\n", + "\n", + " stock_index = \"SP500\"\n", + " price = 300\n", + "\n", + "**Utilisez .format() pour afficher la phrase suivante :**\n", + "\n", + " Le SP500 est à 300 aujourd'hui." + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "stock_index = \"SP500\"\n", + "price = 300" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Le SP500 est à 300 aujourd'hui\n" + ] + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Exercice #4\n", + "\n", + "**Soit la variable d'un dictionnaire imbriqué avec les listes imbriquées suivantes :**\n", + "\n", + " stock_info = {'sp500':{'today':300,'yesterday': 250}, 'info':['Time',[24,7,365]]}\n", + " \n", + "**Utilisez l'indexation et les clés correspondantes pour extraire les éléments suivants :**\n", + "\n", + "* Le prix du SP500 d'hier (250)\n", + "* Le nombre 365 imbriqué à l'intérieur d'une liste imnbriquée au niveau de la clé 'info'." + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [], + "source": [ + "stock_info = {'sp500':{'today':300,'yesterday': 250}, 'info':['Time',[24,7,365]]}" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "250" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "365" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Exercice #5\n", + "\n", + "**Soient des chaînes de caractères données avec cette forme où la dernière valeur source est toujours séparée par 2 tirets --**\n", + "\n", + " \"PRICE:345.324:SOURCE--QUANDL\"\n", + " \n", + "**Créer une fonction nommée source_finder() qui retourne la source. Par exemple, la chaîne de caractères ci-dessus passée en argument dans la fonction devrait retourner \"QUANDL\"**" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'QUANDL'" + ] + }, + "execution_count": 13, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "source_finder(\"PRICE:345.324:SOURCE--QUANDL\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Exercice #6\n", + "\n", + "**Créer une fonction nommée price_finder() qui retourne True si le mot 'prix' est dans la chaîne de caractères. Votre fonction doit fonctionner même si 'Prix' commence par une majuscule ou suivi directement d'une ponctuation ('prix!')**" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "True" + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "price_finder(\"Quel est le prix?\")" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "True" + ] + }, + "execution_count": 16, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "price_finder(\"MEC, QUEL EST LE PRIX!!!\")" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "True" + ] + }, + "execution_count": 17, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "price_finder(\"Le prix est 300\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Exercice #7\n", + "\n", + "**Créer une fonction nommée count_price() qui compte le nombre de fois que le mot \"prix\" apparaît dans la chaîne de caractères. Prendre en compte la majuscule et si le mot \"prix\" est proche d'une ponctuation.**" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [], + "source": [ + "s = \"Wow quel bon prix, très très bon Prix! J'ai dit prix 3 fois.\"" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "3" + ] + }, + "execution_count": 21, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "count_price(s)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Exercice #8\n", + "\n", + "**Créer une fonction nommée avg_price qui prend en paramètre une liste de nombres (prix d'action) et en calcule la moyenne (somme de tous les nombres divisée par le nombre d'éléments de la liste). Cela doit retourner un décimal float.**" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "4.0" + ] + }, + "execution_count": 23, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "avg_price([3,4,5])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Bon Travail!" + ] + } + ], + "metadata": { + "anaconda-cloud": {}, + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.7.7" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} diff --git a/01-Python-cours-accéléré/Python Cours Accéléré.ipynb b/01-Python-cours-accéléré/Python Cours Accéléré.ipynb new file mode 100644 index 0000000..c791ccf --- /dev/null +++ b/01-Python-cours-accéléré/Python Cours Accéléré.ipynb @@ -0,0 +1,2018 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Python Cours Accéléré\n", + "\n", + "S'il vous plaît noter que ce n'est pas censé être un cours complet de Python ou de la programmation en général, si vous n'avez aucune expérience en programmation, vous devriez probablement suivre mon autre cours: [Formation complète pour débutant](https://www.udemy.com/course/python-datascience/?referralCode=9DB381B321631A0703C2) à la place.\n", + "\n", + "**Ce notebook est juste une référence de code pour les vidéos, pas d'explications écrites ici**\n", + "\n", + "Ce notebook traitera des sujets suivants dans l'ordre:\n", + "\n", + "* Types de données (Data Types)\n", + " * Nombres (int - float)\n", + " * Chaînes de caractères (string)\n", + " * Affichage (print)\n", + " * Listes\n", + " * Dictionnaires\n", + " * Booléens\n", + " * Tuples \n", + " * Sets\n", + "* Opérateurs de comparaison\n", + "* Conditions if, elif et else\n", + "* Boucles for (for loops)\n", + "* Boucles while (while loops)\n", + "* range()\n", + "* Compréhension de liste (list comprehension)\n", + "* Fonctions\n", + "* Expressions lambda\n", + "* map et filter\n", + "* Méthodes\n", + "____" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Types de Données\n", + "\n", + "### Nombres" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "2" + ] + }, + "execution_count": 1, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "1 + 1" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "3" + ] + }, + "execution_count": 2, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "1 * 3" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.5" + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "1 / 2" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "16" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "2 ** 4" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "4 % 2" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "1" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "5 % 2" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "50" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "(2 + 3) * (5 + 5)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Assignation de variable" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [], + "source": [ + "# Ne peut pas commencer par un chiffre ou par des caractères spéciaux\n", + "name_of_var = 2" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [], + "source": [ + "x = 2\n", + "y = 3" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [], + "source": [ + "z = x + y" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "5" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "z" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### String" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'single quotes'" + ] + }, + "execution_count": 12, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "'single quotes'" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'double quotes'" + ] + }, + "execution_count": 13, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "\"double quotes\"" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "\" wrap lot's of other quotes\"" + ] + }, + "execution_count": 14, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "\" wrap lot's of other quotes\"" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Affichage" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [], + "source": [ + "x = 'bonjour'" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'bonjour'" + ] + }, + "execution_count": 16, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "x" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "bonjour\n" + ] + } + ], + "source": [ + "print(x)" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [], + "source": [ + "num = 12\n", + "name = 'Sam'" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Mon nombre est: 12, et mon nom est: Sam\n" + ] + } + ], + "source": [ + "print('Mon nombre est: {one}, et mon nom est: {two}'.format(one=num,two=name))" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Mon nombre est: 12, et mon nom est: Sam\n" + ] + } + ], + "source": [ + "print('Mon nombre est: {}, et mon nom est: {}'.format(num,name))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Listes" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[1, 2, 3]" + ] + }, + "execution_count": 21, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "[1,2,3]" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "['hi', 1, [1, 2]]" + ] + }, + "execution_count": 22, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "['hi',1,[1,2]]" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [], + "source": [ + "my_list = ['a','b','c']" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [], + "source": [ + "my_list.append('d')" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "['a', 'b', 'c', 'd']" + ] + }, + "execution_count": 25, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "my_list" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'a'" + ] + }, + "execution_count": 26, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "my_list[0]" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'b'" + ] + }, + "execution_count": 27, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "my_list[1]" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "['b', 'c', 'd']" + ] + }, + "execution_count": 28, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "my_list[1:]" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "['a']" + ] + }, + "execution_count": 29, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "my_list[:1]" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [], + "source": [ + "my_list[0] = 'NEW'" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "['NEW', 'b', 'c', 'd']" + ] + }, + "execution_count": 31, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "my_list" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": {}, + "outputs": [], + "source": [ + "nest = [1,2,3,[4,5,['target']]]" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[4, 5, ['target']]" + ] + }, + "execution_count": 33, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "nest[3]" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "['target']" + ] + }, + "execution_count": 34, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "nest[3][2]" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'target'" + ] + }, + "execution_count": 35, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "nest[3][2][0]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Dictionnaires" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": {}, + "outputs": [], + "source": [ + "d = {'key1':'item1','key2':'item2'}" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "{'key1': 'item1', 'key2': 'item2'}" + ] + }, + "execution_count": 37, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "d" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'item1'" + ] + }, + "execution_count": 38, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "d['key1']" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Booléens" + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "True" + ] + }, + "execution_count": 39, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "True" + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "False" + ] + }, + "execution_count": 40, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "False" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Tuples " + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "metadata": {}, + "outputs": [], + "source": [ + "t = (1,2,3)" + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "1" + ] + }, + "execution_count": 42, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "t[0]" + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "metadata": {}, + "outputs": [ + { + "ename": "TypeError", + "evalue": "'tuple' object does not support item assignment", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mTypeError\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mt\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;36m0\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;34m'NEW'\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m", + "\u001b[0;31mTypeError\u001b[0m: 'tuple' object does not support item assignment" + ] + } + ], + "source": [ + "t[0] = 'NEW'" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Sets" + ] + }, + { + "cell_type": "code", + "execution_count": 44, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "{1, 2, 3}" + ] + }, + "execution_count": 44, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "{1,2,3}" + ] + }, + { + "cell_type": "code", + "execution_count": 45, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "{1, 2, 3}" + ] + }, + "execution_count": 45, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "{1,2,3,1,2,1,2,3,3,3,3,2,2,2,1,1,2}" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Opérateurs de Comparaison" + ] + }, + { + "cell_type": "code", + "execution_count": 46, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "False" + ] + }, + "execution_count": 46, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "1 > 2" + ] + }, + { + "cell_type": "code", + "execution_count": 47, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "True" + ] + }, + "execution_count": 47, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "1 < 2" + ] + }, + { + "cell_type": "code", + "execution_count": 48, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "True" + ] + }, + "execution_count": 48, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "1 >= 1" + ] + }, + { + "cell_type": "code", + "execution_count": 49, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "True" + ] + }, + "execution_count": 49, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "1 <= 4" + ] + }, + { + "cell_type": "code", + "execution_count": 50, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "True" + ] + }, + "execution_count": 50, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "1 == 1" + ] + }, + { + "cell_type": "code", + "execution_count": 51, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "False" + ] + }, + "execution_count": 51, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "'hi' == 'bye'" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Opérateurs Logiques" + ] + }, + { + "cell_type": "code", + "execution_count": 52, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "False" + ] + }, + "execution_count": 52, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "(1 > 2) and (2 < 3)" + ] + }, + { + "cell_type": "code", + "execution_count": 53, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "True" + ] + }, + "execution_count": 53, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "(1 > 2) or (2 < 3)" + ] + }, + { + "cell_type": "code", + "execution_count": 54, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "True" + ] + }, + "execution_count": 54, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "(1 == 2) or (2 == 3) or (4 == 4)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Conditions if, elif et else" + ] + }, + { + "cell_type": "code", + "execution_count": 55, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Yep!\n" + ] + } + ], + "source": [ + "if 1 < 2:\n", + " print('Yep!')" + ] + }, + { + "cell_type": "code", + "execution_count": 56, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "yep!\n" + ] + } + ], + "source": [ + "if 1 < 2:\n", + " print('yep!')" + ] + }, + { + "cell_type": "code", + "execution_count": 57, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "first\n" + ] + } + ], + "source": [ + "if 1 < 2:\n", + " print('first')\n", + "else:\n", + " print('last')" + ] + }, + { + "cell_type": "code", + "execution_count": 58, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "last\n" + ] + } + ], + "source": [ + "if 1 > 2:\n", + " print('first')\n", + "else:\n", + " print('last')" + ] + }, + { + "cell_type": "code", + "execution_count": 59, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "middle\n" + ] + } + ], + "source": [ + "if 1 == 2:\n", + " print('first')\n", + "elif 3 == 3:\n", + " print('middle')\n", + "else:\n", + " print('Last')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Boucles for" + ] + }, + { + "cell_type": "code", + "execution_count": 60, + "metadata": {}, + "outputs": [], + "source": [ + "seq = [1,2,3,4,5]" + ] + }, + { + "cell_type": "code", + "execution_count": 61, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "1\n", + "2\n", + "3\n", + "4\n", + "5\n" + ] + } + ], + "source": [ + "for item in seq:\n", + " print(item)" + ] + }, + { + "cell_type": "code", + "execution_count": 62, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Yep\n", + "Yep\n", + "Yep\n", + "Yep\n", + "Yep\n" + ] + } + ], + "source": [ + "for item in seq:\n", + " print('Yep')" + ] + }, + { + "cell_type": "code", + "execution_count": 63, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "2\n", + "4\n", + "6\n", + "8\n", + "10\n" + ] + } + ], + "source": [ + "for jelly in seq:\n", + " print(jelly+jelly)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Boucles while" + ] + }, + { + "cell_type": "code", + "execution_count": 64, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "i est: 1\n", + "i est: 2\n", + "i est: 3\n", + "i est: 4\n" + ] + } + ], + "source": [ + "i = 1\n", + "while i < 5:\n", + " print('i est: {}'.format(i))\n", + " i = i+1" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## range()" + ] + }, + { + "cell_type": "code", + "execution_count": 65, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "range(0, 5)" + ] + }, + "execution_count": 65, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "range(5)" + ] + }, + { + "cell_type": "code", + "execution_count": 66, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0\n", + "1\n", + "2\n", + "3\n", + "4\n" + ] + } + ], + "source": [ + "for i in range(5):\n", + " print(i)" + ] + }, + { + "cell_type": "code", + "execution_count": 67, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[0, 1, 2, 3, 4]" + ] + }, + "execution_count": 67, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "list(range(5))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Compréhension de liste" + ] + }, + { + "cell_type": "code", + "execution_count": 68, + "metadata": {}, + "outputs": [], + "source": [ + "x = [1,2,3,4]" + ] + }, + { + "cell_type": "code", + "execution_count": 69, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[1, 4, 9, 16]\n" + ] + } + ], + "source": [ + "out = []\n", + "for item in x:\n", + " out.append(item**2)\n", + "print(out)" + ] + }, + { + "cell_type": "code", + "execution_count": 70, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[1, 4, 9, 16]" + ] + }, + "execution_count": 70, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "[item**2 for item in x]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Fonctions" + ] + }, + { + "cell_type": "code", + "execution_count": 71, + "metadata": {}, + "outputs": [], + "source": [ + "def my_func(param1='default'):\n", + " \"\"\"\n", + " Docstring ou Documentation ici...\n", + " \"\"\"\n", + " print(param1)" + ] + }, + { + "cell_type": "code", + "execution_count": 72, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 72, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "my_func" + ] + }, + { + "cell_type": "code", + "execution_count": 73, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "default\n" + ] + } + ], + "source": [ + "my_func()" + ] + }, + { + "cell_type": "code", + "execution_count": 74, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "new param\n" + ] + } + ], + "source": [ + "my_func('new param')" + ] + }, + { + "cell_type": "code", + "execution_count": 75, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "new param\n" + ] + } + ], + "source": [ + "my_func(param1='new param')" + ] + }, + { + "cell_type": "code", + "execution_count": 76, + "metadata": {}, + "outputs": [], + "source": [ + "def square(x):\n", + " return x**2" + ] + }, + { + "cell_type": "code", + "execution_count": 77, + "metadata": {}, + "outputs": [], + "source": [ + "out = square(2)" + ] + }, + { + "cell_type": "code", + "execution_count": 78, + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "4\n" + ] + } + ], + "source": [ + "print(out)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Expressions lambda" + ] + }, + { + "cell_type": "code", + "execution_count": 79, + "metadata": {}, + "outputs": [], + "source": [ + "def times2(var):\n", + " return var*2" + ] + }, + { + "cell_type": "code", + "execution_count": 80, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "4" + ] + }, + "execution_count": 80, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "times2(2)" + ] + }, + { + "cell_type": "code", + "execution_count": 81, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(var)>" + ] + }, + "execution_count": 81, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "lambda var: var*2" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## map et filter" + ] + }, + { + "cell_type": "code", + "execution_count": 82, + "metadata": {}, + "outputs": [], + "source": [ + "seq = [1,2,3,4,5]" + ] + }, + { + "cell_type": "code", + "execution_count": 83, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 83, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "map(times2,seq)" + ] + }, + { + "cell_type": "code", + "execution_count": 84, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[2, 4, 6, 8, 10]" + ] + }, + "execution_count": 84, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "list(map(times2,seq))" + ] + }, + { + "cell_type": "code", + "execution_count": 85, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[2, 4, 6, 8, 10]" + ] + }, + "execution_count": 85, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "list(map(lambda var: var*2,seq))" + ] + }, + { + "cell_type": "code", + "execution_count": 86, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 86, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "filter(lambda item: item%2 == 0,seq)" + ] + }, + { + "cell_type": "code", + "execution_count": 87, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[2, 4]" + ] + }, + "execution_count": 87, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "list(filter(lambda item: item%2 == 0,seq))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Méthodes" + ] + }, + { + "cell_type": "code", + "execution_count": 88, + "metadata": {}, + "outputs": [], + "source": [ + "st = 'hello mon nom est Sam'" + ] + }, + { + "cell_type": "code", + "execution_count": 89, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'hello mon nom est sam'" + ] + }, + "execution_count": 89, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "st.lower()" + ] + }, + { + "cell_type": "code", + "execution_count": 90, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'HELLO MON NOM EST SAM'" + ] + }, + "execution_count": 90, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "st.upper()" + ] + }, + { + "cell_type": "code", + "execution_count": 91, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "['hello', 'mon', 'nom', 'est', 'Sam']" + ] + }, + "execution_count": 91, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "st.split()" + ] + }, + { + "cell_type": "code", + "execution_count": 92, + "metadata": {}, + "outputs": [], + "source": [ + "tweet = 'Go Sports! #Sports'" + ] + }, + { + "cell_type": "code", + "execution_count": 93, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "['Go Sports! ', 'Sports']" + ] + }, + "execution_count": 93, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "tweet.split('#')" + ] + }, + { + "cell_type": "code", + "execution_count": 94, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'Sports'" + ] + }, + "execution_count": 94, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "tweet.split('#')[1]" + ] + }, + { + "cell_type": "code", + "execution_count": 95, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "{'key1': 'item1', 'key2': 'item2'}" + ] + }, + "execution_count": 95, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "d" + ] + }, + { + "cell_type": "code", + "execution_count": 96, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "dict_keys(['key1', 'key2'])" + ] + }, + "execution_count": 96, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "d.keys()" + ] + }, + { + "cell_type": "code", + "execution_count": 97, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "dict_items([('key1', 'item1'), ('key2', 'item2')])" + ] + }, + "execution_count": 97, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "d.items()" + ] + }, + { + "cell_type": "code", + "execution_count": 98, + "metadata": {}, + "outputs": [], + "source": [ + "lst = [1,2,3]" + ] + }, + { + "cell_type": "code", + "execution_count": 99, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "3" + ] + }, + "execution_count": 99, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "lst.pop()" + ] + }, + { + "cell_type": "code", + "execution_count": 100, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[1, 2]" + ] + }, + "execution_count": 100, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "lst" + ] + }, + { + "cell_type": "code", + "execution_count": 101, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "False" + ] + }, + "execution_count": 101, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "'x' in [1,2,3]" + ] + }, + { + "cell_type": "code", + "execution_count": 102, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "True" + ] + }, + "execution_count": 102, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "'x' in ['x','y','z']" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Bon Travail!" + ] + } + ], + "metadata": { + "anaconda-cloud": {}, + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.7.7" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} diff --git a/02-NumPy/.ipynb_checkpoints/1-tableaux-NumPy-checkpoint.ipynb b/02-NumPy/.ipynb_checkpoints/1-tableaux-NumPy-checkpoint.ipynb new file mode 100644 index 0000000..036c874 --- /dev/null +++ b/02-NumPy/.ipynb_checkpoints/1-tableaux-NumPy-checkpoint.ipynb @@ -0,0 +1,973 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "___\n", + "\n", + " \n", + "___\n", + "
*Copyright Pierian Data 2017*
\n", + "
*For more information, visit us at www.pieriandata.com*
" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# NumPy \n", + "\n", + "NumPy (or Numpy) is a Linear Algebra Library for Python, the reason it is so important for Finance with Python is that almost all of the libraries in the PyData Ecosystem rely on NumPy as one of their main building blocks. Plus we will use it to generate data for our analysis examples later on!\n", + "\n", + "Numpy is also incredibly fast, as it has bindings to C libraries. For more info on why you would want to use Arrays instead of lists, check out this great [StackOverflow post](http://stackoverflow.com/questions/993984/why-numpy-instead-of-python-lists).\n", + "\n", + "We will only learn the basics of NumPy, to get started we need to install it!" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Installation Instructions\n", + "\n", + "### NumPy is already included in your environment! You are good to go if you are using pyfinance env!\n", + "\n", + "_____\n", + "##### For those not using the provided environment:\n", + "\n", + "**It is highly recommended you install Python using the Anaconda distribution to make sure all underlying dependencies (such as Linear Algebra libraries) all sync up with the use of a conda install. If you have Anaconda, install NumPy by going to your terminal or command prompt and typing:**\n", + " \n", + " conda install numpy\n", + " \n", + "**If you do not have Anaconda and can not install it, please refer to [Numpy's official documentation on various installation instructions.](http://docs.scipy.org/doc/numpy-1.10.1/user/install.html)**\n", + "\n", + "_____" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Using NumPy\n", + "\n", + "Once you've installed NumPy you can import it as a library:" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "import numpy as np" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Numpy has many built-in functions and capabilities. We won't cover them all but instead we will focus on some of the most important aspects of Numpy: vectors,arrays,matrices, and number generation. Let's start by discussing arrays.\n", + "\n", + "# Numpy Arrays\n", + "\n", + "NumPy arrays are the main way we will use Numpy throughout the course. Numpy arrays essentially come in two flavors: vectors and matrices. Vectors are strictly 1-d arrays and matrices are 2-d (but you should note a matrix can still have only one row or one column).\n", + "\n", + "Let's begin our introduction by exploring how to create NumPy arrays.\n", + "\n", + "## Creating NumPy Arrays\n", + "\n", + "### From a Python List\n", + "\n", + "We can create an array by directly converting a list or list of lists:" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[1, 2, 3]" + ] + }, + "execution_count": 19, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "my_list = [1,2,3]\n", + "my_list" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([1, 2, 3])" + ] + }, + "execution_count": 16, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.array(my_list)" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[[1, 2, 3], [4, 5, 6], [7, 8, 9]]" + ] + }, + "execution_count": 20, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "my_matrix = [[1,2,3],[4,5,6],[7,8,9]]\n", + "my_matrix" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[1, 2, 3],\n", + " [4, 5, 6],\n", + " [7, 8, 9]])" + ] + }, + "execution_count": 21, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.array(my_matrix)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Built-in Methods\n", + "\n", + "There are lots of built-in ways to generate Arrays" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### arange\n", + "\n", + "Return evenly spaced values within a given interval." + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([0, 1, 2, 3, 4, 5, 6, 7, 8, 9])" + ] + }, + "execution_count": 22, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.arange(0,10)" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 0, 2, 4, 6, 8, 10])" + ] + }, + "execution_count": 23, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.arange(0,11,2)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### zeros and ones\n", + "\n", + "Generate arrays of zeros or ones" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 0., 0., 0.])" + ] + }, + "execution_count": 24, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.zeros(3)" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 0., 0., 0., 0., 0.],\n", + " [ 0., 0., 0., 0., 0.],\n", + " [ 0., 0., 0., 0., 0.],\n", + " [ 0., 0., 0., 0., 0.],\n", + " [ 0., 0., 0., 0., 0.]])" + ] + }, + "execution_count": 26, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.zeros((5,5))" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 1., 1., 1.])" + ] + }, + "execution_count": 27, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.ones(3)" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 1., 1., 1.],\n", + " [ 1., 1., 1.],\n", + " [ 1., 1., 1.]])" + ] + }, + "execution_count": 28, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.ones((3,3))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### linspace\n", + "Return evenly spaced numbers over a specified interval." + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 0., 5., 10.])" + ] + }, + "execution_count": 29, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.linspace(0,10,3)" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 0. , 0.20408163, 0.40816327, 0.6122449 ,\n", + " 0.81632653, 1.02040816, 1.2244898 , 1.42857143,\n", + " 1.63265306, 1.83673469, 2.04081633, 2.24489796,\n", + " 2.44897959, 2.65306122, 2.85714286, 3.06122449,\n", + " 3.26530612, 3.46938776, 3.67346939, 3.87755102,\n", + " 4.08163265, 4.28571429, 4.48979592, 4.69387755,\n", + " 4.89795918, 5.10204082, 5.30612245, 5.51020408,\n", + " 5.71428571, 5.91836735, 6.12244898, 6.32653061,\n", + " 6.53061224, 6.73469388, 6.93877551, 7.14285714,\n", + " 7.34693878, 7.55102041, 7.75510204, 7.95918367,\n", + " 8.16326531, 8.36734694, 8.57142857, 8.7755102 ,\n", + " 8.97959184, 9.18367347, 9.3877551 , 9.59183673,\n", + " 9.79591837, 10. ])" + ] + }, + "execution_count": 31, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.linspace(0,10,50)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## eye\n", + "\n", + "Creates an identity matrix" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 1., 0., 0., 0.],\n", + " [ 0., 1., 0., 0.],\n", + " [ 0., 0., 1., 0.],\n", + " [ 0., 0., 0., 1.]])" + ] + }, + "execution_count": 37, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.eye(4)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Random \n", + "\n", + "Numpy also has lots of ways to create random number arrays:\n", + "\n", + "### rand\n", + "Create an array of the given shape and populate it with\n", + "random samples from a uniform distribution\n", + "over ``[0, 1)``." + ] + }, + { + "cell_type": "code", + "execution_count": 47, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 0.11570539, 0.35279769])" + ] + }, + "execution_count": 47, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.random.rand(2)" + ] + }, + { + "cell_type": "code", + "execution_count": 46, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 0.66660768, 0.87589888, 0.12421056, 0.65074126, 0.60260888],\n", + " [ 0.70027668, 0.85572434, 0.8464595 , 0.2735416 , 0.10955384],\n", + " [ 0.0670566 , 0.83267738, 0.9082729 , 0.58249129, 0.12305748],\n", + " [ 0.27948423, 0.66422017, 0.95639833, 0.34238788, 0.9578872 ],\n", + " [ 0.72155386, 0.3035422 , 0.85249683, 0.30414307, 0.79718816]])" + ] + }, + "execution_count": 46, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.random.rand(5,5)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### randn\n", + "\n", + "Return a sample (or samples) from the \"standard normal\" distribution. Unlike rand which is uniform:" + ] + }, + { + "cell_type": "code", + "execution_count": 48, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([-0.27954018, 0.90078368])" + ] + }, + "execution_count": 48, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.random.randn(2)" + ] + }, + { + "cell_type": "code", + "execution_count": 45, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 0.70154515, 0.22441999, 1.33563186, 0.82872577, -0.28247509],\n", + " [ 0.64489788, 0.61815094, -0.81693168, -0.30102424, -0.29030574],\n", + " [ 0.8695976 , 0.413755 , 2.20047208, 0.17955692, -0.82159344],\n", + " [ 0.59264235, 1.29869894, -1.18870241, 0.11590888, -0.09181687],\n", + " [-0.96924265, -1.62888685, -2.05787102, -0.29705576, 0.68915542]])" + ] + }, + "execution_count": 45, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.random.randn(5,5)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### randint\n", + "Return random integers from `low` (inclusive) to `high` (exclusive)." + ] + }, + { + "cell_type": "code", + "execution_count": 50, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "44" + ] + }, + "execution_count": 50, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.random.randint(1,100)" + ] + }, + { + "cell_type": "code", + "execution_count": 51, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([13, 64, 27, 63, 46, 68, 92, 10, 58, 24])" + ] + }, + "execution_count": 51, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.random.randint(1,100,10)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Array Attributes and Methods\n", + "\n", + "Let's discuss some useful attributes and methods or an array:" + ] + }, + { + "cell_type": "code", + "execution_count": 55, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "arr = np.arange(25)\n", + "ranarr = np.random.randint(0,50,10)" + ] + }, + { + "cell_type": "code", + "execution_count": 56, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16,\n", + " 17, 18, 19, 20, 21, 22, 23, 24])" + ] + }, + "execution_count": 56, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "arr" + ] + }, + { + "cell_type": "code", + "execution_count": 57, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([10, 12, 41, 17, 49, 2, 46, 3, 19, 39])" + ] + }, + "execution_count": 57, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "ranarr" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Reshape\n", + "Returns an array containing the same data with a new shape." + ] + }, + { + "cell_type": "code", + "execution_count": 54, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 0, 1, 2, 3, 4],\n", + " [ 5, 6, 7, 8, 9],\n", + " [10, 11, 12, 13, 14],\n", + " [15, 16, 17, 18, 19],\n", + " [20, 21, 22, 23, 24]])" + ] + }, + "execution_count": 54, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "arr.reshape(5,5)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### max,min,argmax,argmin\n", + "\n", + "These are useful methods for finding max or min values. Or to find their index locations using argmin or argmax" + ] + }, + { + "cell_type": "code", + "execution_count": 64, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([10, 12, 41, 17, 49, 2, 46, 3, 19, 39])" + ] + }, + "execution_count": 64, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "ranarr" + ] + }, + { + "cell_type": "code", + "execution_count": 61, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "49" + ] + }, + "execution_count": 61, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "ranarr.max()" + ] + }, + { + "cell_type": "code", + "execution_count": 62, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "4" + ] + }, + "execution_count": 62, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "ranarr.argmax()" + ] + }, + { + "cell_type": "code", + "execution_count": 63, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "2" + ] + }, + "execution_count": 63, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "ranarr.min()" + ] + }, + { + "cell_type": "code", + "execution_count": 60, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "5" + ] + }, + "execution_count": 60, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "ranarr.argmin()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Shape\n", + "\n", + "Shape is an attribute that arrays have (not a method):" + ] + }, + { + "cell_type": "code", + "execution_count": 65, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(25,)" + ] + }, + "execution_count": 65, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Vector\n", + "arr.shape" + ] + }, + { + "cell_type": "code", + "execution_count": 66, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16,\n", + " 17, 18, 19, 20, 21, 22, 23, 24]])" + ] + }, + "execution_count": 66, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Notice the two sets of brackets\n", + "arr.reshape(1,25)" + ] + }, + { + "cell_type": "code", + "execution_count": 69, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(1, 25)" + ] + }, + "execution_count": 69, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "arr.reshape(1,25).shape" + ] + }, + { + "cell_type": "code", + "execution_count": 70, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 0],\n", + " [ 1],\n", + " [ 2],\n", + " [ 3],\n", + " [ 4],\n", + " [ 5],\n", + " [ 6],\n", + " [ 7],\n", + " [ 8],\n", + " [ 9],\n", + " [10],\n", + " [11],\n", + " [12],\n", + " [13],\n", + " [14],\n", + " [15],\n", + " [16],\n", + " [17],\n", + " [18],\n", + " [19],\n", + " [20],\n", + " [21],\n", + " [22],\n", + " [23],\n", + " [24]])" + ] + }, + "execution_count": 70, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "arr.reshape(25,1)" + ] + }, + { + "cell_type": "code", + "execution_count": 76, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(25, 1)" + ] + }, + "execution_count": 76, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "arr.reshape(25,1).shape" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### dtype\n", + "\n", + "You can also grab the data type of the object in the array:" + ] + }, + { + "cell_type": "code", + "execution_count": 75, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "dtype('int64')" + ] + }, + "execution_count": 75, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "arr.dtype" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Great Job!" + ] + } + ], + "metadata": { + "anaconda-cloud": {}, + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.7.5" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} diff --git a/02-NumPy/.ipynb_checkpoints/2-Numpy-Operations-checkpoint.ipynb b/02-NumPy/.ipynb_checkpoints/2-Numpy-Operations-checkpoint.ipynb new file mode 100644 index 0000000..169e4cc --- /dev/null +++ b/02-NumPy/.ipynb_checkpoints/2-Numpy-Operations-checkpoint.ipynb @@ -0,0 +1,329 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "collapsed": true + }, + "source": [ + "# Opérations NumPy" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Arithmétique\n", + "\n", + "Vous pouvez facilement effectuer un tableau avec l'arithmétique tableau, ou scalaire avec l'arithmétique tableau. Voyons quelques exemples :" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "import numpy as np\n", + "arr = np.arange(0,10)" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 0, 2, 4, 6, 8, 10, 12, 14, 16, 18])" + ] + }, + "execution_count": 2, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "arr + arr" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 0, 1, 4, 9, 16, 25, 36, 49, 64, 81])" + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "arr * arr" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([0, 0, 0, 0, 0, 0, 0, 0, 0, 0])" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "arr - arr" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/Users/marci/anaconda/lib/python3.5/site-packages/ipykernel/__main__.py:1: RuntimeWarning: invalid value encountered in true_divide\n", + " if __name__ == '__main__':\n" + ] + }, + { + "data": { + "text/plain": [ + "array([ nan, 1., 1., 1., 1., 1., 1., 1., 1., 1.])" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Avertissement en cas de division par zéro, mais pas une erreur !\n", + "# Seulement remplacé par nan\n", + "arr/arr" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/Users/marci/anaconda/lib/python3.5/site-packages/ipykernel/__main__.py:1: RuntimeWarning: divide by zero encountered in true_divide\n", + " if __name__ == '__main__':\n" + ] + }, + { + "data": { + "text/plain": [ + "array([ inf, 1. , 0.5 , 0.33333333, 0.25 ,\n", + " 0.2 , 0.16666667, 0.14285714, 0.125 , 0.11111111])" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Avertissement aussi, mais pas une erreur, remplacé par l'infini\n", + "1/arr" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 0, 1, 8, 27, 64, 125, 216, 343, 512, 729])" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "arr**3" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Fonctions universelles de tableau\n", + "\n", + "Numpy vient avec beaucoup de [fonctions universelles de tableau](http://docs.scipy.org/doc/numpy/reference/ufuncs.html), qui sont essentiellement juste des opérations mathématiques que vous pouvez utiliser pour effectuer l'opération à travers le tableau. En voici quelques unes :" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 0. , 1. , 1.41421356, 1.73205081, 2. ,\n", + " 2.23606798, 2.44948974, 2.64575131, 2.82842712, 3. ])" + ] + }, + "execution_count": 12, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Prendre la racine carrée\n", + "np.sqrt(arr)" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 1.00000000e+00, 2.71828183e+00, 7.38905610e+00,\n", + " 2.00855369e+01, 5.45981500e+01, 1.48413159e+02,\n", + " 4.03428793e+02, 1.09663316e+03, 2.98095799e+03,\n", + " 8.10308393e+03])" + ] + }, + "execution_count": 13, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Calcul exponentiel (e^)\n", + "np.exp(arr)" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "9" + ] + }, + "execution_count": 14, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.max(arr) # comme arr.max()" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 0. , 0.84147098, 0.90929743, 0.14112001, -0.7568025 ,\n", + " -0.95892427, -0.2794155 , 0.6569866 , 0.98935825, 0.41211849])" + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.sin(arr)" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/Users/marci/anaconda/lib/python3.5/site-packages/ipykernel/__main__.py:1: RuntimeWarning: divide by zero encountered in log\n", + " if __name__ == '__main__':\n" + ] + }, + { + "data": { + "text/plain": [ + "array([ -inf, 0. , 0.69314718, 1.09861229, 1.38629436,\n", + " 1.60943791, 1.79175947, 1.94591015, 2.07944154, 2.19722458])" + ] + }, + "execution_count": 16, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.log(arr)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Bon travail!\n", + "\n", + "C'est tout ce que nous avons besoin de savoir pour l'instant !" + ] + } + ], + "metadata": { + "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": "3.7.5" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} diff --git a/02-NumPy/.ipynb_checkpoints/3-Numpy-Indexing-et-Selection-checkpoint.ipynb b/02-NumPy/.ipynb_checkpoints/3-Numpy-Indexing-et-Selection-checkpoint.ipynb new file mode 100644 index 0000000..f11138d --- /dev/null +++ b/02-NumPy/.ipynb_checkpoints/3-Numpy-Indexing-et-Selection-checkpoint.ipynb @@ -0,0 +1,646 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "___\n", + "\n", + " \n", + "___\n", + "
*Copyright Pierian Data 2017*
\n", + "
*For more information, visit us at www.pieriandata.com*
" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# NumPy Indexing and Selection\n", + "\n", + "In this lecture we will discuss how to select elements or groups of elements from an array." + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "#Creating sample array\n", + "arr = np.arange(0,11)" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10])" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "#Show\n", + "arr" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Bracket Indexing and Selection\n", + "The simplest way to pick one or some elements of an array looks very similar to python lists:" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "8" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "#Get a value at an index\n", + "arr[8]" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([1, 2, 3, 4])" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "#Get values in a range\n", + "arr[1:5]" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([0, 1, 2, 3, 4])" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "#Get values in a range\n", + "arr[0:5]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Broadcasting\n", + "\n", + "Numpy arrays differ from a normal Python list because of their ability to broadcast:" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([100, 100, 100, 100, 100, 5, 6, 7, 8, 9, 10])" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "#Setting a value with index range (Broadcasting)\n", + "arr[0:5]=100\n", + "\n", + "#Show\n", + "arr" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10])" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Reset array, we'll see why I had to reset in a moment\n", + "arr = np.arange(0,11)\n", + "\n", + "#Show\n", + "arr" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([0, 1, 2, 3, 4, 5])" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "#Important notes on Slices\n", + "slice_of_arr = arr[0:6]\n", + "\n", + "#Show slice\n", + "slice_of_arr" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([99, 99, 99, 99, 99, 99])" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "#Change Slice\n", + "slice_of_arr[:]=99\n", + "\n", + "#Show Slice again\n", + "slice_of_arr" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Now note the changes also occur in our original array!" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([99, 99, 99, 99, 99, 99, 6, 7, 8, 9, 10])" + ] + }, + "execution_count": 12, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "arr" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Data is not copied, it's a view of the original array! This avoids memory problems!" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([99, 99, 99, 99, 99, 99, 6, 7, 8, 9, 10])" + ] + }, + "execution_count": 13, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "#To get a copy, need to be explicit\n", + "arr_copy = arr.copy()\n", + "\n", + "arr_copy" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Indexing a 2D array (matrices)\n", + "\n", + "The general format is **arr_2d[row][col]** or **arr_2d[row,col]**. I recommend usually using the comma notation for clarity." + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 5, 10, 15],\n", + " [20, 25, 30],\n", + " [35, 40, 45]])" + ] + }, + "execution_count": 14, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "arr_2d = np.array(([5,10,15],[20,25,30],[35,40,45]))\n", + "\n", + "#Show\n", + "arr_2d" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([20, 25, 30])" + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "#Indexing row\n", + "arr_2d[1]\n" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "20" + ] + }, + "execution_count": 16, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Format is arr_2d[row][col] or arr_2d[row,col]\n", + "\n", + "# Getting individual element value\n", + "arr_2d[1][0]" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "20" + ] + }, + "execution_count": 17, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Getting individual element value\n", + "arr_2d[1,0]" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[10, 15],\n", + " [25, 30]])" + ] + }, + "execution_count": 18, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# 2D array slicing\n", + "\n", + "#Shape (2,2) from top right corner\n", + "arr_2d[:2,1:]" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([35, 40, 45])" + ] + }, + "execution_count": 19, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "#Shape bottom row\n", + "arr_2d[2]" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([35, 40, 45])" + ] + }, + "execution_count": 20, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "#Shape bottom row\n", + "arr_2d[2,:]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## More Indexing Help\n", + "Indexing a 2d matrix can be a bit confusing at first, especially when you start to add in step size. Try google image searching NumPy indexing to fins useful images, like this one:\n", + "\n", + "" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Conditional Selection\n", + "\n", + "This is a very fundamental concept that will directly translate to pandas later on, make sure you understand this part!\n", + "\n", + "Let's briefly go over how to use brackets for selection based off of comparison operators." + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10])" + ] + }, + "execution_count": 28, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "arr = np.arange(1,11)\n", + "arr" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([False, False, False, False, True, True, True, True, True, True], dtype=bool)" + ] + }, + "execution_count": 30, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "arr > 4" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "bool_arr = arr>4" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([False, False, False, False, True, True, True, True, True, True], dtype=bool)" + ] + }, + "execution_count": 32, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "bool_arr" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 5, 6, 7, 8, 9, 10])" + ] + }, + "execution_count": 33, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "arr[bool_arr]" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 3, 4, 5, 6, 7, 8, 9, 10])" + ] + }, + "execution_count": 34, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "arr[arr>2]" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 3, 4, 5, 6, 7, 8, 9, 10])" + ] + }, + "execution_count": 37, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "x = 2\n", + "arr[arr>x]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Great Job!\n" + ] + } + ], + "metadata": { + "anaconda-cloud": {}, + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.6.1" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} diff --git a/02-NumPy/.ipynb_checkpoints/Numpy Exercises - Solutions-checkpoint.ipynb b/02-NumPy/.ipynb_checkpoints/Numpy Exercises - Solutions-checkpoint.ipynb new file mode 100644 index 0000000..942a17e --- /dev/null +++ b/02-NumPy/.ipynb_checkpoints/Numpy Exercises - Solutions-checkpoint.ipynb @@ -0,0 +1,817 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "___\n", + "\n", + " \n", + "___\n", + "
*Copyright Pierian Data 2017*
\n", + "
*For more information, visit us at www.pieriandata.com*
" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# NumPy Exercises\n", + "Now that we've learned about NumPy let's test your knowledge. We'll start off with a few simple tasks and then you'll be asked some more complicated questions.\n", + "\n", + "** IMPORTANT NOTE! Make sure you don't run the cells directly above the example output shown, otherwise you will end up writing over the example output! **" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Import NumPy as np" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Create an array of 10 zeros " + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# CODE HERE" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.])" + ] + }, + "execution_count": 2, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Create an array of 10 ones" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# CODE HERE" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 1., 1., 1., 1., 1., 1., 1., 1., 1., 1.])" + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Create an array of 10 fives" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# CODE HERE" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 5., 5., 5., 5., 5., 5., 5., 5., 5., 5.])" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Create an array of the integers from 10 to 50" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# CODE HERE" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26,\n", + " 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43,\n", + " 44, 45, 46, 47, 48, 49, 50])" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Create an array of all the even integers from 10 to 50" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# CODE HERE" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42,\n", + " 44, 46, 48, 50])" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Create a 3x3 matrix with values ranging from 0 to 8" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# CODE HERE" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[0, 1, 2],\n", + " [3, 4, 5],\n", + " [6, 7, 8]])" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Create a 3x3 identity matrix" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# CODE HERE" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 1., 0., 0.],\n", + " [ 0., 1., 0.],\n", + " [ 0., 0., 1.]])" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Use NumPy to generate a random number between 0 and 1" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# CODE HERE" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 0.42829726])" + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Use NumPy to generate an array of 25 random numbers sampled from a standard normal distribution" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# CODE HERE" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 1.32031013, 1.6798602 , -0.42985892, -1.53116655, 0.85753232,\n", + " 0.87339938, 0.35668636, -1.47491157, 0.15349697, 0.99530727,\n", + " -0.94865451, -1.69174783, 1.57525349, -0.70615234, 0.10991879,\n", + " -0.49478947, 1.08279872, 0.76488333, -2.3039931 , 0.35401124,\n", + " -0.45454399, -0.64754649, -0.29391671, 0.02339861, 0.38272124])" + ] + }, + "execution_count": 33, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Create the following matrix:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 0.01, 0.02, 0.03, 0.04, 0.05, 0.06, 0.07, 0.08, 0.09, 0.1 ],\n", + " [ 0.11, 0.12, 0.13, 0.14, 0.15, 0.16, 0.17, 0.18, 0.19, 0.2 ],\n", + " [ 0.21, 0.22, 0.23, 0.24, 0.25, 0.26, 0.27, 0.28, 0.29, 0.3 ],\n", + " [ 0.31, 0.32, 0.33, 0.34, 0.35, 0.36, 0.37, 0.38, 0.39, 0.4 ],\n", + " [ 0.41, 0.42, 0.43, 0.44, 0.45, 0.46, 0.47, 0.48, 0.49, 0.5 ],\n", + " [ 0.51, 0.52, 0.53, 0.54, 0.55, 0.56, 0.57, 0.58, 0.59, 0.6 ],\n", + " [ 0.61, 0.62, 0.63, 0.64, 0.65, 0.66, 0.67, 0.68, 0.69, 0.7 ],\n", + " [ 0.71, 0.72, 0.73, 0.74, 0.75, 0.76, 0.77, 0.78, 0.79, 0.8 ],\n", + " [ 0.81, 0.82, 0.83, 0.84, 0.85, 0.86, 0.87, 0.88, 0.89, 0.9 ],\n", + " [ 0.91, 0.92, 0.93, 0.94, 0.95, 0.96, 0.97, 0.98, 0.99, 1. ]])" + ] + }, + "execution_count": 35, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Create an array of 20 linearly spaced points between 0 and 1:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 0. , 0.05263158, 0.10526316, 0.15789474, 0.21052632,\n", + " 0.26315789, 0.31578947, 0.36842105, 0.42105263, 0.47368421,\n", + " 0.52631579, 0.57894737, 0.63157895, 0.68421053, 0.73684211,\n", + " 0.78947368, 0.84210526, 0.89473684, 0.94736842, 1. ])" + ] + }, + "execution_count": 36, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Numpy Indexing and Selection\n", + "\n", + "Now you will be given a few matrices, and be asked to replicate the resulting matrix outputs:" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 1, 2, 3, 4, 5],\n", + " [ 6, 7, 8, 9, 10],\n", + " [11, 12, 13, 14, 15],\n", + " [16, 17, 18, 19, 20],\n", + " [21, 22, 23, 24, 25]])" + ] + }, + "execution_count": 38, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# HERE IS THE GIVEN MATRIX CALLED MAT\n", + "# USE IT FOR THE FOLLOWING TASKS\n", + "mat = np.arange(1,26).reshape(5,5)\n", + "mat" + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# WRITE CODE HERE THAT REPRODUCES THE OUTPUT OF THE CELL BELOW\n", + "# BE CAREFUL NOT TO RUN THE CELL BELOW, OTHERWISE YOU WON'T\n", + "# BE ABLE TO SEE THE OUTPUT ANY MORE" + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[12, 13, 14, 15],\n", + " [17, 18, 19, 20],\n", + " [22, 23, 24, 25]])" + ] + }, + "execution_count": 40, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# WRITE CODE HERE THAT REPRODUCES THE OUTPUT OF THE CELL BELOW\n", + "# BE CAREFUL NOT TO RUN THE CELL BELOW, OTHERWISE YOU WON'T\n", + "# BE ABLE TO SEE THE OUTPUT ANY MORE" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "20" + ] + }, + "execution_count": 41, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# WRITE CODE HERE THAT REPRODUCES THE OUTPUT OF THE CELL BELOW\n", + "# BE CAREFUL NOT TO RUN THE CELL BELOW, OTHERWISE YOU WON'T\n", + "# BE ABLE TO SEE THE OUTPUT ANY MORE" + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 2],\n", + " [ 7],\n", + " [12]])" + ] + }, + "execution_count": 42, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# WRITE CODE HERE THAT REPRODUCES THE OUTPUT OF THE CELL BELOW\n", + "# BE CAREFUL NOT TO RUN THE CELL BELOW, OTHERWISE YOU WON'T\n", + "# BE ABLE TO SEE THE OUTPUT ANY MORE" + ] + }, + { + "cell_type": "code", + "execution_count": 46, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([21, 22, 23, 24, 25])" + ] + }, + "execution_count": 46, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# WRITE CODE HERE THAT REPRODUCES THE OUTPUT OF THE CELL BELOW\n", + "# BE CAREFUL NOT TO RUN THE CELL BELOW, OTHERWISE YOU WON'T\n", + "# BE ABLE TO SEE THE OUTPUT ANY MORE" + ] + }, + { + "cell_type": "code", + "execution_count": 49, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[16, 17, 18, 19, 20],\n", + " [21, 22, 23, 24, 25]])" + ] + }, + "execution_count": 49, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Now do the following" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Get the sum of all the values in mat" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# CODE HERE" + ] + }, + { + "cell_type": "code", + "execution_count": 50, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "325" + ] + }, + "execution_count": 50, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Get the standard deviation of the values in mat" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# CODE HERE" + ] + }, + { + "cell_type": "code", + "execution_count": 51, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "7.2111025509279782" + ] + }, + "execution_count": 51, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Get the sum of all the columns in mat" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# CODE HERE" + ] + }, + { + "cell_type": "code", + "execution_count": 53, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([55, 60, 65, 70, 75])" + ] + }, + "execution_count": 53, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Bonus Question\n", + "\n", + "We worked a lot with random data with numpy, but is there a way we can insure that we always get the same random numbers? [Click Here for a Hint](https://www.google.com/search?q=numpy+random+seed&rlz=1C1CHBF_enUS747US747&oq=numpy+random+seed&aqs=chrome..69i57j69i60j0l4.2087j0j7&sourceid=chrome&ie=UTF-8)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": true + }, + "source": [ + "# Great Job!" + ] + } + ], + "metadata": { + "anaconda-cloud": {}, + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.6.1" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} diff --git a/02-NumPy/.ipynb_checkpoints/Numpy Exercises-checkpoint.ipynb b/02-NumPy/.ipynb_checkpoints/Numpy Exercises-checkpoint.ipynb new file mode 100644 index 0000000..d3fb66f --- /dev/null +++ b/02-NumPy/.ipynb_checkpoints/Numpy Exercises-checkpoint.ipynb @@ -0,0 +1,800 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Exercices NumPy\n", + "Maintenant que nous avons découvert NumPy, testons vos connaissances. Nous commencerons par quelques tâches simples, puis des questions plus complexes.\n", + "\n", + "** REMARQUE IMPORTANTE : Veillez à ne pas exécuter les cellules directement au-dessus de la sortie de résultat attendu, sinon vous risquez de finir par écrire par dessus ! **" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Import NumPy as np" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Créer un tableau de 10 zéros " + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [], + "source": [ + "# CODE ICI" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.])" + ] + }, + "execution_count": 2, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Créer un tableau de 10 uns" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "# CODE ICI" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 1., 1., 1., 1., 1., 1., 1., 1., 1., 1.])" + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Créer un tableau de 10 cinq" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# CODE ICI" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 5., 5., 5., 5., 5., 5., 5., 5., 5., 5.])" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Créer un tableau d'entiers de 10 à 50" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# CODE ICI" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26,\n", + " 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43,\n", + " 44, 45, 46, 47, 48, 49, 50])" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Créer un tableau de tous les entiers pairs entre 10 et 50" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# CODE ICI" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42,\n", + " 44, 46, 48, 50])" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Créer une matrice 3x3 avec les valeurs de 0 à 8" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# CODE ICI" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[0, 1, 2],\n", + " [3, 4, 5],\n", + " [6, 7, 8]])" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Créer une matrice identité 3x3" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# CODE ICI" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 1., 0., 0.],\n", + " [ 0., 1., 0.],\n", + " [ 0., 0., 1.]])" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Utiliser NumPy pour générer un nombre aléatoire entre 0 et 1" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# CODE ICI" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 0.42829726])" + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Utiliser NumPy pour générer un tableau de 25 nombres aléatoires échantillonnés à partir d'une distribution normale standard" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# CODE ICI" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 1.32031013, 1.6798602 , -0.42985892, -1.53116655, 0.85753232,\n", + " 0.87339938, 0.35668636, -1.47491157, 0.15349697, 0.99530727,\n", + " -0.94865451, -1.69174783, 1.57525349, -0.70615234, 0.10991879,\n", + " -0.49478947, 1.08279872, 0.76488333, -2.3039931 , 0.35401124,\n", + " -0.45454399, -0.64754649, -0.29391671, 0.02339861, 0.38272124])" + ] + }, + "execution_count": 33, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Créer la matrice suivante:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 0.01, 0.02, 0.03, 0.04, 0.05, 0.06, 0.07, 0.08, 0.09, 0.1 ],\n", + " [ 0.11, 0.12, 0.13, 0.14, 0.15, 0.16, 0.17, 0.18, 0.19, 0.2 ],\n", + " [ 0.21, 0.22, 0.23, 0.24, 0.25, 0.26, 0.27, 0.28, 0.29, 0.3 ],\n", + " [ 0.31, 0.32, 0.33, 0.34, 0.35, 0.36, 0.37, 0.38, 0.39, 0.4 ],\n", + " [ 0.41, 0.42, 0.43, 0.44, 0.45, 0.46, 0.47, 0.48, 0.49, 0.5 ],\n", + " [ 0.51, 0.52, 0.53, 0.54, 0.55, 0.56, 0.57, 0.58, 0.59, 0.6 ],\n", + " [ 0.61, 0.62, 0.63, 0.64, 0.65, 0.66, 0.67, 0.68, 0.69, 0.7 ],\n", + " [ 0.71, 0.72, 0.73, 0.74, 0.75, 0.76, 0.77, 0.78, 0.79, 0.8 ],\n", + " [ 0.81, 0.82, 0.83, 0.84, 0.85, 0.86, 0.87, 0.88, 0.89, 0.9 ],\n", + " [ 0.91, 0.92, 0.93, 0.94, 0.95, 0.96, 0.97, 0.98, 0.99, 1. ]])" + ] + }, + "execution_count": 35, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Créer un tableau de 20 points espacés linéairement entre 0 et 1:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 0. , 0.05263158, 0.10526316, 0.15789474, 0.21052632,\n", + " 0.26315789, 0.31578947, 0.36842105, 0.42105263, 0.47368421,\n", + " 0.52631579, 0.57894737, 0.63157895, 0.68421053, 0.73684211,\n", + " 0.78947368, 0.84210526, 0.89473684, 0.94736842, 1. ])" + ] + }, + "execution_count": 36, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Indexation et sélection Numpy\n", + "\n", + "Maintenant vous trouverez quelques matrices, il faut les reproduire:" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 1, 2, 3, 4, 5],\n", + " [ 6, 7, 8, 9, 10],\n", + " [11, 12, 13, 14, 15],\n", + " [16, 17, 18, 19, 20],\n", + " [21, 22, 23, 24, 25]])" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# VOICI LA MATRICE MAT\n", + "# A UTILISER POUR LES PROCHAINES TACHES\n", + "import numpy as np\n", + "mat = np.arange(1,26).reshape(5,5)\n", + "mat" + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# ECRIRE LE CODE ICI QUI REPRODUIT LA SORTIE CI-DESSOUS\n", + "# ATTENTION A NE PAS EXECUTER LA CELLULE CI-DESSOUS, SINON VOUS NE\n", + "# POURREZ PLUS VOIR LA SORTIE ATTENDUE" + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[12, 13, 14, 15],\n", + " [17, 18, 19, 20],\n", + " [22, 23, 24, 25]])" + ] + }, + "execution_count": 40, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# ECRIRE LE CODE ICI QUI REPRODUIT LA SORTIE CI-DESSOUS\n", + "# ATTENTION A NE PAS EXECUTER LA CELLULE CI-DESSOUS, SINON VOUS NE\n", + "# POURREZ PLUS VOIR LA SORTIE ATTENDUE" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "20" + ] + }, + "execution_count": 41, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# ECRIRE LE CODE ICI QUI REPRODUIT LA SORTIE CI-DESSOUS\n", + "# ATTENTION A NE PAS EXECUTER LA CELLULE CI-DESSOUS, SINON VOUS NE\n", + "# POURREZ PLUS VOIR LA SORTIE ATTENDUE" + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 2],\n", + " [ 7],\n", + " [12]])" + ] + }, + "execution_count": 42, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# ECRIRE LE CODE ICI QUI REPRODUIT LA SORTIE CI-DESSOUS\n", + "# ATTENTION A NE PAS EXECUTER LA CELLULE CI-DESSOUS, SINON VOUS NE\n", + "# POURREZ PLUS VOIR LA SORTIE ATTENDUE" + ] + }, + { + "cell_type": "code", + "execution_count": 46, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([21, 22, 23, 24, 25])" + ] + }, + "execution_count": 46, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# ECRIRE LE CODE ICI QUI REPRODUIT LA SORTIE CI-DESSOUS\n", + "# ATTENTION A NE PAS EXECUTER LA CELLULE CI-DESSOUS, SINON VOUS NE\n", + "# POURREZ PLUS VOIR LA SORTIE ATTENDUE" + ] + }, + { + "cell_type": "code", + "execution_count": 49, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[16, 17, 18, 19, 20],\n", + " [21, 22, 23, 24, 25]])" + ] + }, + "execution_count": 49, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Faire les tâches suivantes" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Obtenir la somme de toutes les valeurs de la matrice mat" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# CODE ICI" + ] + }, + { + "cell_type": "code", + "execution_count": 50, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "325" + ] + }, + "execution_count": 50, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Obtenir l'écart-type des valeurs de la matrice mat" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# CODE ICI" + ] + }, + { + "cell_type": "code", + "execution_count": 51, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "7.2111025509279782" + ] + }, + "execution_count": 51, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Obtenir la somme de toutes les colonnes de la matrice mat" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [], + "source": [ + "# CODE ICI" + ] + }, + { + "cell_type": "code", + "execution_count": 53, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([55, 60, 65, 70, 75])" + ] + }, + "execution_count": 53, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Question Bonus\n", + "\n", + "Nous avons beaucoup travaillé avec des données aléatoires avec numpy, mais y a-t-il un moyen de nous assurer que nous obtenons toujours les mêmes nombres aléatoires ? [Cliquez ici pour un indice](https://www.google.fr/search?q=numpy+random+seed&rlz=1C1CHBF_enUS747US747&oq=numpy+random+seed&aqs=chrome..69i57j69i60j0l4.2087j0j7&sourceid=chrome&ie=UTF-8)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": true + }, + "source": [ + "# Bon travail!" + ] + } + ], + "metadata": { + "anaconda-cloud": {}, + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.7.5" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} diff --git a/02-NumPy/1-tableaux-NumPy.ipynb b/02-NumPy/1-tableaux-NumPy.ipynb new file mode 100644 index 0000000..04e57e1 --- /dev/null +++ b/02-NumPy/1-tableaux-NumPy.ipynb @@ -0,0 +1,961 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# NumPy \n", + "\n", + "NumPy (ou Numpy) est une bibliothèque d'Algèbre Linéaire pour Python, la raison de son importance pour la Finance avec Python, c'est que preque toutes les bibliothèques de l'écosystème Data Science Python sont construites sur un bloc NumPy. De plus nous l'utiliserons pour générer des données pour nos exemples d'analyse plus tard!\n", + "\n", + "Numpy est aussi extrêmement rapide, de part ses liens avec le langage C. Pour pour d'informations sur l'utilisation des tableaux plutôt que des listes, regardez ce post [StackOverflow](http://stackoverflow.com/questions/993984/why-numpy-instead-of-python-lists).\n", + "\n", + "Nous n'apprendrons que les bases de NumPy, pour commencer nous avons besoin de l'installer!" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Instructions d'installation\n", + "\n", + "### NumPy est déjà inclus dans votre environnement! Si vous utilisez l'environnement pyfinance, c'est bon pour vous!\n", + "\n", + "_____\n", + "##### Pour ceux n'utilisant pas l'environnement fourni:\n", + "\n", + "**Il est fortement recommandé d'installer Python à l'aide de la distribution Anaconda pour vous assurer que toutes les dépendances sous-jacentes (comme les bibliothèques Linear Algebra) sont synchronisées avec l'utilisation d'une installation conda. Si vous avez Anaconda, installez NumPy en vous rendant à votre terminal ou à l'invite de commande et en tapant:**\n", + " \n", + " conda install numpy\n", + " \n", + "**Si vous n'avez pas Anaconda et ne pouvez pas l'installer, veuillez vous référer à [Documentation officielle de Numpy sur les différentes instructions d'installation.](http://docs.scipy.org/doc/numpy-1.10.1/user/install.html)**\n", + "\n", + "_____" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Utiliser NumPy\n", + "\n", + "Une fois que vous avez installé NumPy, vous pouvez l'importer sous forme de bibliothèque :" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "import numpy as np" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Numpy a de nombreuses fonctions et capacités intégrées. Nous ne les couvrirons pas toutes, mais nous nous concentrerons plutôt sur certains des aspects les plus importants de Numpy: vecteurs, tableaux, matrices et génération de nombres. Commençons par discuter des tableaux.\n", + "\n", + "# Tableaux Numpy\n", + "\n", + "Les tableaux NumPy sont la principale façon dont nous utiliserons Numpy tout au long du cours. Les tableaux Numpy sont essentiellement de deux types: les vecteurs et les matrices. Les vecteurs sont des tableaux 1-d et les matrices sont 2-d (mais vous devez noter qu'une matrice peut toujours avoir seulement une ligne ou une colonne).\n", + "\n", + "Commençons notre introduction en explorant comment créer des tableaux NumPy.\n", + "\n", + "## Création de tableaux NumPy\n", + "\n", + "### Depuis une liste Python\n", + "\n", + "Nous pouvons créer un tableau en convertissant directement une liste ou une liste de listes:" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[1, 2, 3]" + ] + }, + "execution_count": 19, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "my_list = [1,2,3]\n", + "my_list" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([1, 2, 3])" + ] + }, + "execution_count": 16, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.array(my_list)" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[[1, 2, 3], [4, 5, 6], [7, 8, 9]]" + ] + }, + "execution_count": 20, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "my_matrix = [[1,2,3],[4,5,6],[7,8,9]]\n", + "my_matrix" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[1, 2, 3],\n", + " [4, 5, 6],\n", + " [7, 8, 9]])" + ] + }, + "execution_count": 21, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.array(my_matrix)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Méthodes intégrées\n", + "\n", + "Il existe de nombreuses méthodes intégrées pour générer des tableaux" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### arange\n", + "\n", + "Retourne des valeurs uniformément espacées dans un intervalle donné." + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([0, 1, 2, 3, 4, 5, 6, 7, 8, 9])" + ] + }, + "execution_count": 22, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.arange(0,10)" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 0, 2, 4, 6, 8, 10])" + ] + }, + "execution_count": 23, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.arange(0,11,2)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### zeros et ones\n", + "\n", + "Génère des tableaux de zéros ou de uns" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 0., 0., 0.])" + ] + }, + "execution_count": 24, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.zeros(3)" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 0., 0., 0., 0., 0.],\n", + " [ 0., 0., 0., 0., 0.],\n", + " [ 0., 0., 0., 0., 0.],\n", + " [ 0., 0., 0., 0., 0.],\n", + " [ 0., 0., 0., 0., 0.]])" + ] + }, + "execution_count": 26, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.zeros((5,5))" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 1., 1., 1.])" + ] + }, + "execution_count": 27, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.ones(3)" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 1., 1., 1.],\n", + " [ 1., 1., 1.],\n", + " [ 1., 1., 1.]])" + ] + }, + "execution_count": 28, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.ones((3,3))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### linspace\n", + "Retourne les nombres uniformément espacés sur un intervalle spécifié." + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 0., 5., 10.])" + ] + }, + "execution_count": 29, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.linspace(0,10,3)" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 0. , 0.20408163, 0.40816327, 0.6122449 ,\n", + " 0.81632653, 1.02040816, 1.2244898 , 1.42857143,\n", + " 1.63265306, 1.83673469, 2.04081633, 2.24489796,\n", + " 2.44897959, 2.65306122, 2.85714286, 3.06122449,\n", + " 3.26530612, 3.46938776, 3.67346939, 3.87755102,\n", + " 4.08163265, 4.28571429, 4.48979592, 4.69387755,\n", + " 4.89795918, 5.10204082, 5.30612245, 5.51020408,\n", + " 5.71428571, 5.91836735, 6.12244898, 6.32653061,\n", + " 6.53061224, 6.73469388, 6.93877551, 7.14285714,\n", + " 7.34693878, 7.55102041, 7.75510204, 7.95918367,\n", + " 8.16326531, 8.36734694, 8.57142857, 8.7755102 ,\n", + " 8.97959184, 9.18367347, 9.3877551 , 9.59183673,\n", + " 9.79591837, 10. ])" + ] + }, + "execution_count": 31, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.linspace(0,10,50)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## eye\n", + "\n", + "Crée une matrice d'identité" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 1., 0., 0., 0.],\n", + " [ 0., 1., 0., 0.],\n", + " [ 0., 0., 1., 0.],\n", + " [ 0., 0., 0., 1.]])" + ] + }, + "execution_count": 37, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.eye(4)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Random \n", + "\n", + "Numpy a aussi beaucoup de façons de créer des tableaux de nombres aléatoires:\n", + "\n", + "### rand\n", + "Créez un tableau de la forme donnée et remplissez-le avec\n", + "des échantillons aléatoires provenant d'une distribution uniforme\n", + "sur ``[0, 1)``." + ] + }, + { + "cell_type": "code", + "execution_count": 47, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 0.11570539, 0.35279769])" + ] + }, + "execution_count": 47, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.random.rand(2)" + ] + }, + { + "cell_type": "code", + "execution_count": 46, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 0.66660768, 0.87589888, 0.12421056, 0.65074126, 0.60260888],\n", + " [ 0.70027668, 0.85572434, 0.8464595 , 0.2735416 , 0.10955384],\n", + " [ 0.0670566 , 0.83267738, 0.9082729 , 0.58249129, 0.12305748],\n", + " [ 0.27948423, 0.66422017, 0.95639833, 0.34238788, 0.9578872 ],\n", + " [ 0.72155386, 0.3035422 , 0.85249683, 0.30414307, 0.79718816]])" + ] + }, + "execution_count": 46, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.random.rand(5,5)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### randn\n", + "\n", + "Retourne un échantillon (ou des échantillons) de la distribution \"normale standard\". Contrairement à rand qui est uniforme:" + ] + }, + { + "cell_type": "code", + "execution_count": 48, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([-0.27954018, 0.90078368])" + ] + }, + "execution_count": 48, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.random.randn(2)" + ] + }, + { + "cell_type": "code", + "execution_count": 45, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 0.70154515, 0.22441999, 1.33563186, 0.82872577, -0.28247509],\n", + " [ 0.64489788, 0.61815094, -0.81693168, -0.30102424, -0.29030574],\n", + " [ 0.8695976 , 0.413755 , 2.20047208, 0.17955692, -0.82159344],\n", + " [ 0.59264235, 1.29869894, -1.18870241, 0.11590888, -0.09181687],\n", + " [-0.96924265, -1.62888685, -2.05787102, -0.29705576, 0.68915542]])" + ] + }, + "execution_count": 45, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.random.randn(5,5)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### randint\n", + "Retourne les nombres entiers aléatoires de `low` (inclus) à `high` (exclusif)." + ] + }, + { + "cell_type": "code", + "execution_count": 50, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "44" + ] + }, + "execution_count": 50, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.random.randint(1,100)" + ] + }, + { + "cell_type": "code", + "execution_count": 51, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([13, 64, 27, 63, 46, 68, 92, 10, 58, 24])" + ] + }, + "execution_count": 51, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.random.randint(1,100,10)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Attributs et méthodes des tableaux\n", + "\n", + "Discutons de quelques attributs et méthodes utiles pour un tableau :" + ] + }, + { + "cell_type": "code", + "execution_count": 55, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "arr = np.arange(25)\n", + "ranarr = np.random.randint(0,50,10)" + ] + }, + { + "cell_type": "code", + "execution_count": 56, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16,\n", + " 17, 18, 19, 20, 21, 22, 23, 24])" + ] + }, + "execution_count": 56, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "arr" + ] + }, + { + "cell_type": "code", + "execution_count": 57, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([10, 12, 41, 17, 49, 2, 46, 3, 19, 39])" + ] + }, + "execution_count": 57, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "ranarr" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Reshape\n", + "Retourne un tableau contenant les mêmes données avec une nouvelle forme." + ] + }, + { + "cell_type": "code", + "execution_count": 54, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 0, 1, 2, 3, 4],\n", + " [ 5, 6, 7, 8, 9],\n", + " [10, 11, 12, 13, 14],\n", + " [15, 16, 17, 18, 19],\n", + " [20, 21, 22, 23, 24]])" + ] + }, + "execution_count": 54, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "arr.reshape(5,5)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### max, min, argmax, argmin\n", + "\n", + "Ce sont des méthodes utiles pour trouver des valeurs maximales ou minimales. Ou pour trouver l'emplacement de leur index à l'aide des méthodes argmin ou argmax" + ] + }, + { + "cell_type": "code", + "execution_count": 64, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([10, 12, 41, 17, 49, 2, 46, 3, 19, 39])" + ] + }, + "execution_count": 64, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "ranarr" + ] + }, + { + "cell_type": "code", + "execution_count": 61, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "49" + ] + }, + "execution_count": 61, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "ranarr.max()" + ] + }, + { + "cell_type": "code", + "execution_count": 62, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "4" + ] + }, + "execution_count": 62, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "ranarr.argmax()" + ] + }, + { + "cell_type": "code", + "execution_count": 63, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "2" + ] + }, + "execution_count": 63, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "ranarr.min()" + ] + }, + { + "cell_type": "code", + "execution_count": 60, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "5" + ] + }, + "execution_count": 60, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "ranarr.argmin()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Shape\n", + "\n", + "Shape est un attribut des tableaux (pas une méthode):" + ] + }, + { + "cell_type": "code", + "execution_count": 65, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(25,)" + ] + }, + "execution_count": 65, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Vecteur\n", + "arr.shape" + ] + }, + { + "cell_type": "code", + "execution_count": 66, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16,\n", + " 17, 18, 19, 20, 21, 22, 23, 24]])" + ] + }, + "execution_count": 66, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Remarquez les doubles crochets\n", + "arr.reshape(1,25)" + ] + }, + { + "cell_type": "code", + "execution_count": 69, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(1, 25)" + ] + }, + "execution_count": 69, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "arr.reshape(1,25).shape" + ] + }, + { + "cell_type": "code", + "execution_count": 70, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 0],\n", + " [ 1],\n", + " [ 2],\n", + " [ 3],\n", + " [ 4],\n", + " [ 5],\n", + " [ 6],\n", + " [ 7],\n", + " [ 8],\n", + " [ 9],\n", + " [10],\n", + " [11],\n", + " [12],\n", + " [13],\n", + " [14],\n", + " [15],\n", + " [16],\n", + " [17],\n", + " [18],\n", + " [19],\n", + " [20],\n", + " [21],\n", + " [22],\n", + " [23],\n", + " [24]])" + ] + }, + "execution_count": 70, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "arr.reshape(25,1)" + ] + }, + { + "cell_type": "code", + "execution_count": 76, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(25, 1)" + ] + }, + "execution_count": 76, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "arr.reshape(25,1).shape" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### dtype\n", + "\n", + "Vous pouvez également saisir le type de données de l'objet dans le tableau:" + ] + }, + { + "cell_type": "code", + "execution_count": 75, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "dtype('int64')" + ] + }, + "execution_count": 75, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "arr.dtype" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Bon travail!" + ] + } + ], + "metadata": { + "anaconda-cloud": {}, + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.7.5" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} diff --git a/02-NumPy/2-Numpy-Operations.ipynb b/02-NumPy/2-Numpy-Operations.ipynb new file mode 100644 index 0000000..169e4cc --- /dev/null +++ b/02-NumPy/2-Numpy-Operations.ipynb @@ -0,0 +1,329 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "collapsed": true + }, + "source": [ + "# Opérations NumPy" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Arithmétique\n", + "\n", + "Vous pouvez facilement effectuer un tableau avec l'arithmétique tableau, ou scalaire avec l'arithmétique tableau. Voyons quelques exemples :" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "import numpy as np\n", + "arr = np.arange(0,10)" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 0, 2, 4, 6, 8, 10, 12, 14, 16, 18])" + ] + }, + "execution_count": 2, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "arr + arr" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 0, 1, 4, 9, 16, 25, 36, 49, 64, 81])" + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "arr * arr" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([0, 0, 0, 0, 0, 0, 0, 0, 0, 0])" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "arr - arr" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/Users/marci/anaconda/lib/python3.5/site-packages/ipykernel/__main__.py:1: RuntimeWarning: invalid value encountered in true_divide\n", + " if __name__ == '__main__':\n" + ] + }, + { + "data": { + "text/plain": [ + "array([ nan, 1., 1., 1., 1., 1., 1., 1., 1., 1.])" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Avertissement en cas de division par zéro, mais pas une erreur !\n", + "# Seulement remplacé par nan\n", + "arr/arr" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/Users/marci/anaconda/lib/python3.5/site-packages/ipykernel/__main__.py:1: RuntimeWarning: divide by zero encountered in true_divide\n", + " if __name__ == '__main__':\n" + ] + }, + { + "data": { + "text/plain": [ + "array([ inf, 1. , 0.5 , 0.33333333, 0.25 ,\n", + " 0.2 , 0.16666667, 0.14285714, 0.125 , 0.11111111])" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Avertissement aussi, mais pas une erreur, remplacé par l'infini\n", + "1/arr" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 0, 1, 8, 27, 64, 125, 216, 343, 512, 729])" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "arr**3" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Fonctions universelles de tableau\n", + "\n", + "Numpy vient avec beaucoup de [fonctions universelles de tableau](http://docs.scipy.org/doc/numpy/reference/ufuncs.html), qui sont essentiellement juste des opérations mathématiques que vous pouvez utiliser pour effectuer l'opération à travers le tableau. En voici quelques unes :" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 0. , 1. , 1.41421356, 1.73205081, 2. ,\n", + " 2.23606798, 2.44948974, 2.64575131, 2.82842712, 3. ])" + ] + }, + "execution_count": 12, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Prendre la racine carrée\n", + "np.sqrt(arr)" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 1.00000000e+00, 2.71828183e+00, 7.38905610e+00,\n", + " 2.00855369e+01, 5.45981500e+01, 1.48413159e+02,\n", + " 4.03428793e+02, 1.09663316e+03, 2.98095799e+03,\n", + " 8.10308393e+03])" + ] + }, + "execution_count": 13, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Calcul exponentiel (e^)\n", + "np.exp(arr)" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "9" + ] + }, + "execution_count": 14, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.max(arr) # comme arr.max()" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 0. , 0.84147098, 0.90929743, 0.14112001, -0.7568025 ,\n", + " -0.95892427, -0.2794155 , 0.6569866 , 0.98935825, 0.41211849])" + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.sin(arr)" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/Users/marci/anaconda/lib/python3.5/site-packages/ipykernel/__main__.py:1: RuntimeWarning: divide by zero encountered in log\n", + " if __name__ == '__main__':\n" + ] + }, + { + "data": { + "text/plain": [ + "array([ -inf, 0. , 0.69314718, 1.09861229, 1.38629436,\n", + " 1.60943791, 1.79175947, 1.94591015, 2.07944154, 2.19722458])" + ] + }, + "execution_count": 16, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.log(arr)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Bon travail!\n", + "\n", + "C'est tout ce que nous avons besoin de savoir pour l'instant !" + ] + } + ], + "metadata": { + "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": "3.7.5" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} diff --git a/02-NumPy/3-Numpy-Indexing-et-Selection.ipynb b/02-NumPy/3-Numpy-Indexing-et-Selection.ipynb new file mode 100644 index 0000000..2c26789 --- /dev/null +++ b/02-NumPy/3-Numpy-Indexing-et-Selection.ipynb @@ -0,0 +1,635 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# NumPy Indexing et Selection\n", + "\n", + "Dans cette session, nous discuterons de la façon de sélectionner des éléments ou des groupes d'éléments à partir d'un tableau." + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "# Création d'un tableau simple\n", + "arr = np.arange(0,11)" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10])" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# afficher\n", + "arr" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Indexation et sélection\n", + "La façon la plus simple de choisir un ou plusieurs éléments d'un tableau ressemble beaucoup aux listes python :" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "8" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Obtenir une valeur à un index\n", + "arr[8]" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([1, 2, 3, 4])" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Obtenir des valeurs dans une plage d'entiers\n", + "arr[1:5]" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([0, 1, 2, 3, 4])" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Obtenir des valeurs dans une plage d'entiers\n", + "arr[0:5]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Broadcasting\n", + "\n", + "Les tableaux Numpy diffèrent d'une liste Python normale en raison de leur capacité à diffuser :" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([100, 100, 100, 100, 100, 5, 6, 7, 8, 9, 10])" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Réglage d'une valeur avec plage d'indice (Broadcasting)\n", + "arr[0:5]=100\n", + "\n", + "# afficher\n", + "arr" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10])" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Réinitialiser le tableau, nous verrons pourquoi \n", + "# j'ai dû le réinitialiser plus bas.\n", + "arr = np.arange(0,11)\n", + "\n", + "# afficher\n", + "arr" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([0, 1, 2, 3, 4, 5])" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Remarques importantes sur les tranches (slices)\n", + "slice_of_arr = arr[0:6]\n", + "\n", + "# afficher tranche\n", + "slice_of_arr" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([99, 99, 99, 99, 99, 99])" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Changer de tranche\n", + "slice_of_arr[:] = 99\n", + "\n", + "# Afficher de nouveau\n", + "slice_of_arr" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Notez maintenant que les changements se produisent aussi dans notre tableau d'origine !" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([99, 99, 99, 99, 99, 99, 6, 7, 8, 9, 10])" + ] + }, + "execution_count": 12, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "arr" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Les données ne sont pas copiées, c'est une vue du tableau d'origine ! Cela permet d'éviter les problèmes de mémoire !" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([99, 99, 99, 99, 99, 99, 6, 7, 8, 9, 10])" + ] + }, + "execution_count": 13, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Pour en obtenir une copie, il faut être explicite\n", + "arr_copy = arr.copy()\n", + "\n", + "arr_copy" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Indexation d'un tableau 2D (matrices)\n", + "\n", + "Le format général est le suivant **arr_2d[row][col]** ou **arr_2d[row,col]**. Je recommande habituellement d'utiliser la notation par virgule pour plus de clarté." + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 5, 10, 15],\n", + " [20, 25, 30],\n", + " [35, 40, 45]])" + ] + }, + "execution_count": 14, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "arr_2d = np.array(([5,10,15],[20,25,30],[35,40,45]))\n", + "\n", + "# afficher\n", + "arr_2d" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([20, 25, 30])" + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Indexer une ligne\n", + "arr_2d[1]\n" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "20" + ] + }, + "execution_count": 16, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Le format est arr_2d[row][col] ou arr_2d[row,col]\n", + "\n", + "# Obtenir la valeur d'un élément individuel\n", + "arr_2d[1][0]" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "20" + ] + }, + "execution_count": 17, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Obtenir la valeur d'un élément individuel\n", + "arr_2d[1,0]" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[10, 15],\n", + " [25, 30]])" + ] + }, + "execution_count": 18, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# découpage en tranches d'un tableau 2D\n", + "\n", + "# Forme (2,2) du coin supérieur droit\n", + "arr_2d[:2,1:]" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([35, 40, 45])" + ] + }, + "execution_count": 19, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Forme de la rangée du bas\n", + "arr_2d[2]" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([35, 40, 45])" + ] + }, + "execution_count": 20, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Forme de la rangée du bas\n", + "arr_2d[2,:]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Plus d'aide pour l'indexation\n", + "L'indexation d'une matrice 2d peut être un peu confuse au début, surtout lorsque vous commencez à ajouter une taille de pas. Essayez la recherche d'images sur google \"NumPy indexing\" pour trouver des images utiles, comme celle-ci :\n", + "\n", + "" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Sélection conditionnelle\n", + "\n", + "C'est un concept très fondamental qui se réglera directement par pandas plus tard, assurez-vous de bien comprendre cette partie !\n", + "\n", + "Passons brièvement en revue la façon d'utiliser les parenthèses pour la sélection basée sur des opérateurs de comparaison." + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10])" + ] + }, + "execution_count": 28, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "arr = np.arange(1,11)\n", + "arr" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([False, False, False, False, True, True, True, True, True, True], dtype=bool)" + ] + }, + "execution_count": 30, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "arr > 4" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "bool_arr = arr>4" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([False, False, False, False, True, True, True, True, True, True], dtype=bool)" + ] + }, + "execution_count": 32, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "bool_arr" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 5, 6, 7, 8, 9, 10])" + ] + }, + "execution_count": 33, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "arr[bool_arr]" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 3, 4, 5, 6, 7, 8, 9, 10])" + ] + }, + "execution_count": 34, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "arr[arr>2]" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 3, 4, 5, 6, 7, 8, 9, 10])" + ] + }, + "execution_count": 37, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "x = 2\n", + "arr[arr>x]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Bon travail!\n" + ] + } + ], + "metadata": { + "anaconda-cloud": {}, + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.7.5" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} diff --git a/02-NumPy/Numpy Exercises - Solutions.ipynb b/02-NumPy/Numpy Exercises - Solutions.ipynb new file mode 100644 index 0000000..68035d1 --- /dev/null +++ b/02-NumPy/Numpy Exercises - Solutions.ipynb @@ -0,0 +1,629 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Exercices NumPy - Solutions\n", + "Maintenant que nous avons découvert NumPy, testons vos connaissances. Nous commencerons par quelques tâches simples, puis des questions plus complexes.\n", + "\n", + "** REMARQUE IMPORTANTE : Veillez à ne pas exécuter les cellules directement au-dessus de la sortie de résultat attendu, sinon vous risquez de finir par écrire par dessus ! **" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Import NumPy as np" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Créer un tableau de 10 zéros " + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([0., 0., 0., 0., 0., 0., 0., 0., 0., 0.])" + ] + }, + "execution_count": 14, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.zeros(10)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Créer un tableau de 10 uns" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([1., 1., 1., 1., 1., 1., 1., 1., 1., 1.])" + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.ones(10)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Créer un tableau de 10 cinq" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([5., 5., 5., 5., 5., 5., 5., 5., 5., 5.])" + ] + }, + "execution_count": 16, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.ones(10) * 5" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Créer un tableau d'entiers de 10 à 50" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26,\n", + " 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43,\n", + " 44, 45, 46, 47, 48, 49, 50])" + ] + }, + "execution_count": 17, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.arange(10,51)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Créer un tableau de tous les entiers pairs entre 10 et 50" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42,\n", + " 44, 46, 48, 50])" + ] + }, + "execution_count": 18, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.arange(10,51,2)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Créer une matrice 3x3 avec les valeurs de 0 à 8" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[0, 1, 2],\n", + " [3, 4, 5],\n", + " [6, 7, 8]])" + ] + }, + "execution_count": 19, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.arange(0,9).reshape(3,3)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Créer une matrice identité 3x3" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[1., 0., 0.],\n", + " [0., 1., 0.],\n", + " [0., 0., 1.]])" + ] + }, + "execution_count": 20, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.eye(3)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Utiliser NumPy pour générer un nombre aléatoire entre 0 et 1" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([0.0774109])" + ] + }, + "execution_count": 21, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.random.rand(1)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Utiliser NumPy pour générer un tableau de 25 nombres aléatoires échantillonnés à partir d'une distribution normale standard" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 0.01471837, -0.54119397, 0.61856113, 0.75337696, 0.54470058,\n", + " 0.21793039, 1.12443308, 0.77995286, -0.62594303, -0.61483113,\n", + " 0.27331136, 0.69654147, 0.56232085, -0.05882004, -0.73255901,\n", + " -0.31370757, 1.94487633, -1.27965513, -1.36078982, -0.39200937,\n", + " -0.96238637, 0.47766402, -0.84683412, -1.79296081, -0.62813396])" + ] + }, + "execution_count": 22, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.random.randn(25)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Créer la matrice suivante:" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[0.01, 0.02, 0.03, 0.04, 0.05, 0.06, 0.07, 0.08, 0.09, 0.1 ],\n", + " [0.11, 0.12, 0.13, 0.14, 0.15, 0.16, 0.17, 0.18, 0.19, 0.2 ],\n", + " [0.21, 0.22, 0.23, 0.24, 0.25, 0.26, 0.27, 0.28, 0.29, 0.3 ],\n", + " [0.31, 0.32, 0.33, 0.34, 0.35, 0.36, 0.37, 0.38, 0.39, 0.4 ],\n", + " [0.41, 0.42, 0.43, 0.44, 0.45, 0.46, 0.47, 0.48, 0.49, 0.5 ],\n", + " [0.51, 0.52, 0.53, 0.54, 0.55, 0.56, 0.57, 0.58, 0.59, 0.6 ],\n", + " [0.61, 0.62, 0.63, 0.64, 0.65, 0.66, 0.67, 0.68, 0.69, 0.7 ],\n", + " [0.71, 0.72, 0.73, 0.74, 0.75, 0.76, 0.77, 0.78, 0.79, 0.8 ],\n", + " [0.81, 0.82, 0.83, 0.84, 0.85, 0.86, 0.87, 0.88, 0.89, 0.9 ],\n", + " [0.91, 0.92, 0.93, 0.94, 0.95, 0.96, 0.97, 0.98, 0.99, 1. ]])" + ] + }, + "execution_count": 25, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.arange(1,101).reshape(10,10)/100" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Créer un tableau de 20 points espacés linéairement entre 0 et 1:" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([0. , 0.05263158, 0.10526316, 0.15789474, 0.21052632,\n", + " 0.26315789, 0.31578947, 0.36842105, 0.42105263, 0.47368421,\n", + " 0.52631579, 0.57894737, 0.63157895, 0.68421053, 0.73684211,\n", + " 0.78947368, 0.84210526, 0.89473684, 0.94736842, 1. ])" + ] + }, + "execution_count": 26, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.linspace(0,1,20)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Indexation et sélection Numpy\n", + "\n", + "Maintenant vous trouverez quelques matrices, il faut les reproduire:" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 1, 2, 3, 4, 5],\n", + " [ 6, 7, 8, 9, 10],\n", + " [11, 12, 13, 14, 15],\n", + " [16, 17, 18, 19, 20],\n", + " [21, 22, 23, 24, 25]])" + ] + }, + "execution_count": 27, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# VOICI LA MATRICE MAT\n", + "# A UTILISER POUR LES PROCHAINES TACHES\n", + "import numpy as np\n", + "mat = np.arange(1,26).reshape(5,5)\n", + "mat" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[12, 13, 14, 15],\n", + " [17, 18, 19, 20],\n", + " [22, 23, 24, 25]])" + ] + }, + "execution_count": 30, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "mat[2:,1:]" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "20" + ] + }, + "execution_count": 31, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "mat[3,4]" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 2],\n", + " [ 7],\n", + " [12]])" + ] + }, + "execution_count": 35, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "mat[:3,1:2]" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([21, 22, 23, 24, 25])" + ] + }, + "execution_count": 37, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "mat[4,:]" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[16, 17, 18, 19, 20],\n", + " [21, 22, 23, 24, 25]])" + ] + }, + "execution_count": 38, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "mat[3:,:]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Faire les tâches suivantes" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Obtenir la somme de toutes les valeurs de la matrice mat" + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "325" + ] + }, + "execution_count": 39, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "mat.sum()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Obtenir l'écart-type des valeurs de la matrice mat" + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "7.211102550927978" + ] + }, + "execution_count": 40, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "mat.std()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Obtenir la somme de toutes les colonnes de la matrice mat" + ] + }, + { + "cell_type": "code", + "execution_count": 46, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([55, 60, 65, 70, 75])" + ] + }, + "execution_count": 46, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "mat.sum(axis=0)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Question Bonus\n", + "\n", + "Nous avons beaucoup travaillé avec des données aléatoires avec numpy, mais y a-t-il un moyen de nous assurer que nous obtenons toujours les mêmes nombres aléatoires ? [Cliquez ici pour un indice](https://www.google.fr/search?q=numpy+random+seed&rlz=1C1CHBF_enUS747US747&oq=numpy+random+seed&aqs=chrome..69i57j69i60j0l4.2087j0j7&sourceid=chrome&ie=UTF-8)" + ] + }, + { + "cell_type": "code", + "execution_count": 57, + "metadata": {}, + "outputs": [], + "source": [ + "np.random.seed(101)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": true + }, + "source": [ + "# Bon travail!" + ] + } + ], + "metadata": { + "anaconda-cloud": {}, + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.7.7" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} diff --git a/02-NumPy/Numpy Exercises.ipynb b/02-NumPy/Numpy Exercises.ipynb new file mode 100644 index 0000000..bb4960f --- /dev/null +++ b/02-NumPy/Numpy Exercises.ipynb @@ -0,0 +1,800 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Exercices NumPy\n", + "Maintenant que nous avons découvert NumPy, testons vos connaissances. Nous commencerons par quelques tâches simples, puis des questions plus complexes.\n", + "\n", + "**REMARQUE IMPORTANTE : Veillez à ne pas exécuter les cellules directement au-dessus de la sortie de résultat attendu, sinon vous risquez de finir par écrire par dessus !**" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Import NumPy as np" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Créer un tableau de 10 zéros " + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [], + "source": [ + "# CODE ICI" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.])" + ] + }, + "execution_count": 2, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Créer un tableau de 10 uns" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "# CODE ICI" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 1., 1., 1., 1., 1., 1., 1., 1., 1., 1.])" + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Créer un tableau de 10 cinq" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# CODE ICI" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 5., 5., 5., 5., 5., 5., 5., 5., 5., 5.])" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Créer un tableau d'entiers de 10 à 50" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# CODE ICI" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26,\n", + " 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43,\n", + " 44, 45, 46, 47, 48, 49, 50])" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Créer un tableau de tous les entiers pairs entre 10 et 50" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# CODE ICI" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42,\n", + " 44, 46, 48, 50])" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Créer une matrice 3x3 avec les valeurs de 0 à 8" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# CODE ICI" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[0, 1, 2],\n", + " [3, 4, 5],\n", + " [6, 7, 8]])" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Créer une matrice identité 3x3" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# CODE ICI" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 1., 0., 0.],\n", + " [ 0., 1., 0.],\n", + " [ 0., 0., 1.]])" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Utiliser NumPy pour générer un nombre aléatoire entre 0 et 1" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# CODE ICI" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 0.42829726])" + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Utiliser NumPy pour générer un tableau de 25 nombres aléatoires échantillonnés à partir d'une distribution normale standard" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# CODE ICI" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 1.32031013, 1.6798602 , -0.42985892, -1.53116655, 0.85753232,\n", + " 0.87339938, 0.35668636, -1.47491157, 0.15349697, 0.99530727,\n", + " -0.94865451, -1.69174783, 1.57525349, -0.70615234, 0.10991879,\n", + " -0.49478947, 1.08279872, 0.76488333, -2.3039931 , 0.35401124,\n", + " -0.45454399, -0.64754649, -0.29391671, 0.02339861, 0.38272124])" + ] + }, + "execution_count": 33, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Créer la matrice suivante:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 0.01, 0.02, 0.03, 0.04, 0.05, 0.06, 0.07, 0.08, 0.09, 0.1 ],\n", + " [ 0.11, 0.12, 0.13, 0.14, 0.15, 0.16, 0.17, 0.18, 0.19, 0.2 ],\n", + " [ 0.21, 0.22, 0.23, 0.24, 0.25, 0.26, 0.27, 0.28, 0.29, 0.3 ],\n", + " [ 0.31, 0.32, 0.33, 0.34, 0.35, 0.36, 0.37, 0.38, 0.39, 0.4 ],\n", + " [ 0.41, 0.42, 0.43, 0.44, 0.45, 0.46, 0.47, 0.48, 0.49, 0.5 ],\n", + " [ 0.51, 0.52, 0.53, 0.54, 0.55, 0.56, 0.57, 0.58, 0.59, 0.6 ],\n", + " [ 0.61, 0.62, 0.63, 0.64, 0.65, 0.66, 0.67, 0.68, 0.69, 0.7 ],\n", + " [ 0.71, 0.72, 0.73, 0.74, 0.75, 0.76, 0.77, 0.78, 0.79, 0.8 ],\n", + " [ 0.81, 0.82, 0.83, 0.84, 0.85, 0.86, 0.87, 0.88, 0.89, 0.9 ],\n", + " [ 0.91, 0.92, 0.93, 0.94, 0.95, 0.96, 0.97, 0.98, 0.99, 1. ]])" + ] + }, + "execution_count": 35, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Créer un tableau de 20 points espacés linéairement entre 0 et 1:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 0. , 0.05263158, 0.10526316, 0.15789474, 0.21052632,\n", + " 0.26315789, 0.31578947, 0.36842105, 0.42105263, 0.47368421,\n", + " 0.52631579, 0.57894737, 0.63157895, 0.68421053, 0.73684211,\n", + " 0.78947368, 0.84210526, 0.89473684, 0.94736842, 1. ])" + ] + }, + "execution_count": 36, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Indexation et sélection Numpy\n", + "\n", + "Maintenant vous trouverez quelques matrices, il faut les reproduire:" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 1, 2, 3, 4, 5],\n", + " [ 6, 7, 8, 9, 10],\n", + " [11, 12, 13, 14, 15],\n", + " [16, 17, 18, 19, 20],\n", + " [21, 22, 23, 24, 25]])" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# VOICI LA MATRICE MAT\n", + "# A UTILISER POUR LES PROCHAINES TACHES\n", + "import numpy as np\n", + "mat = np.arange(1,26).reshape(5,5)\n", + "mat" + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# ECRIRE LE CODE ICI QUI REPRODUIT LA SORTIE CI-DESSOUS\n", + "# ATTENTION A NE PAS EXECUTER LA CELLULE CI-DESSOUS, SINON VOUS NE\n", + "# POURREZ PLUS VOIR LA SORTIE ATTENDUE" + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[12, 13, 14, 15],\n", + " [17, 18, 19, 20],\n", + " [22, 23, 24, 25]])" + ] + }, + "execution_count": 40, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# ECRIRE LE CODE ICI QUI REPRODUIT LA SORTIE CI-DESSOUS\n", + "# ATTENTION A NE PAS EXECUTER LA CELLULE CI-DESSOUS, SINON VOUS NE\n", + "# POURREZ PLUS VOIR LA SORTIE ATTENDUE" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "20" + ] + }, + "execution_count": 41, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# ECRIRE LE CODE ICI QUI REPRODUIT LA SORTIE CI-DESSOUS\n", + "# ATTENTION A NE PAS EXECUTER LA CELLULE CI-DESSOUS, SINON VOUS NE\n", + "# POURREZ PLUS VOIR LA SORTIE ATTENDUE" + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 2],\n", + " [ 7],\n", + " [12]])" + ] + }, + "execution_count": 42, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# ECRIRE LE CODE ICI QUI REPRODUIT LA SORTIE CI-DESSOUS\n", + "# ATTENTION A NE PAS EXECUTER LA CELLULE CI-DESSOUS, SINON VOUS NE\n", + "# POURREZ PLUS VOIR LA SORTIE ATTENDUE" + ] + }, + { + "cell_type": "code", + "execution_count": 46, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([21, 22, 23, 24, 25])" + ] + }, + "execution_count": 46, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# ECRIRE LE CODE ICI QUI REPRODUIT LA SORTIE CI-DESSOUS\n", + "# ATTENTION A NE PAS EXECUTER LA CELLULE CI-DESSOUS, SINON VOUS NE\n", + "# POURREZ PLUS VOIR LA SORTIE ATTENDUE" + ] + }, + { + "cell_type": "code", + "execution_count": 49, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[16, 17, 18, 19, 20],\n", + " [21, 22, 23, 24, 25]])" + ] + }, + "execution_count": 49, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Faire les tâches suivantes" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Obtenir la somme de toutes les valeurs de la matrice mat" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# CODE ICI" + ] + }, + { + "cell_type": "code", + "execution_count": 50, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "325" + ] + }, + "execution_count": 50, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Obtenir l'écart-type des valeurs de la matrice mat" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# CODE ICI" + ] + }, + { + "cell_type": "code", + "execution_count": 51, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "7.2111025509279782" + ] + }, + "execution_count": 51, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Obtenir la somme de toutes les colonnes de la matrice mat" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [], + "source": [ + "# CODE ICI" + ] + }, + { + "cell_type": "code", + "execution_count": 53, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([55, 60, 65, 70, 75])" + ] + }, + "execution_count": 53, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Question Bonus\n", + "\n", + "Nous avons beaucoup travaillé avec des données aléatoires avec numpy, mais y a-t-il un moyen de nous assurer que nous obtenons toujours les mêmes nombres aléatoires ? [Cliquez ici pour un indice](https://www.google.fr/search?q=numpy+random+seed&rlz=1C1CHBF_enUS747US747&oq=numpy+random+seed&aqs=chrome..69i57j69i60j0l4.2087j0j7&sourceid=chrome&ie=UTF-8)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": true + }, + "source": [ + "# Bon travail!" + ] + } + ], + "metadata": { + "anaconda-cloud": {}, + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.7.5" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} diff --git a/03-Pandas/.ipynb_checkpoints/01-Introduction-Pandas-checkpoint.ipynb b/03-Pandas/.ipynb_checkpoints/01-Introduction-Pandas-checkpoint.ipynb new file mode 100644 index 0000000..5d20751 --- /dev/null +++ b/03-Pandas/.ipynb_checkpoints/01-Introduction-Pandas-checkpoint.ipynb @@ -0,0 +1,62 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "___\n", + "\n", + " \n", + "___" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": true + }, + "source": [ + "# Introduction to Pandas\n", + "\n", + "In this section of the course we will learn how to use pandas for data analysis. You can think of pandas as an extremely powerful version of Excel, with a lot more features. In this section of the course, you should go through the notebooks in this order:\n", + "\n", + "* Introduction to Pandas\n", + "* Series\n", + "* DataFrames\n", + "* Missing Data\n", + "* GroupBy\n", + "* Merging,Joining,and Concatenating\n", + "* Operations\n", + "* Data Input and Output" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "___" + ] + } + ], + "metadata": { + "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": "3.5.1" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/03-Pandas/.ipynb_checkpoints/02-Series-checkpoint.ipynb b/03-Pandas/.ipynb_checkpoints/02-Series-checkpoint.ipynb new file mode 100644 index 0000000..b68144c --- /dev/null +++ b/03-Pandas/.ipynb_checkpoints/02-Series-checkpoint.ipynb @@ -0,0 +1,464 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "___\n", + "\n", + " \n", + "___\n", + "# Series" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The first main data type we will learn about for pandas is the Series data type. Let's import Pandas and explore the Series object.\n", + "\n", + "A Series is very similar to a NumPy array (in fact it is built on top of the NumPy array object). What differentiates the NumPy array from a Series, is that a Series can have axis labels, meaning it can be indexed by a label, instead of just a number location. It also doesn't need to hold numeric data, it can hold any arbitrary Python Object.\n", + "\n", + "Let's explore this concept through some examples:" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "import numpy as np\n", + "import pandas as pd" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Creating a Series\n", + "\n", + "You can convert a list,numpy array, or dictionary to a Series:" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "labels = ['a','b','c']\n", + "my_list = [10,20,30]\n", + "arr = np.array([10,20,30])\n", + "d = {'a':10,'b':20,'c':30}" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "** Using Lists**" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "0 10\n", + "1 20\n", + "2 30\n", + "dtype: int64" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "pd.Series(data=my_list)" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "a 10\n", + "b 20\n", + "c 30\n", + "dtype: int64" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "pd.Series(data=my_list,index=labels)" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "a 10\n", + "b 20\n", + "c 30\n", + "dtype: int64" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "pd.Series(my_list,labels)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "** NumPy Arrays **" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "0 10\n", + "1 20\n", + "2 30\n", + "dtype: int64" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "pd.Series(arr)" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "a 10\n", + "b 20\n", + "c 30\n", + "dtype: int64" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "pd.Series(arr,labels)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "** Dictionary**" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "a 10\n", + "b 20\n", + "c 30\n", + "dtype: int64" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "pd.Series(d)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Data in a Series\n", + "\n", + "A pandas Series can hold a variety of object types:" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "0 a\n", + "1 b\n", + "2 c\n", + "dtype: object" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "pd.Series(data=labels)" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "0 \n", + "1 \n", + "2 \n", + "dtype: object" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Even functions (although unlikely that you will use this)\n", + "pd.Series([sum,print,len])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Using an Index\n", + "\n", + "The key to using a Series is understanding its index. Pandas makes use of these index names or numbers by allowing for fast look ups of information (works like a hash table or dictionary).\n", + "\n", + "Let's see some examples of how to grab information from a Series. Let us create two sereis, ser1 and ser2:" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "ser1 = pd.Series([1,2,3,4],index = ['USA', 'Germany','USSR', 'Japan']) " + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "USA 1\n", + "Germany 2\n", + "USSR 3\n", + "Japan 4\n", + "dtype: int64" + ] + }, + "execution_count": 13, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "ser1" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "ser2 = pd.Series([1,2,5,4],index = ['USA', 'Germany','Italy', 'Japan']) " + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "USA 1\n", + "Germany 2\n", + "Italy 5\n", + "Japan 4\n", + "dtype: int64" + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "ser2" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "1" + ] + }, + "execution_count": 16, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "ser1['USA']" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": false + }, + "source": [ + "Operations are then also done based off of index:" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "Germany 4.0\n", + "Italy NaN\n", + "Japan 8.0\n", + "USA 2.0\n", + "USSR NaN\n", + "dtype: float64" + ] + }, + "execution_count": 17, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "ser1 + ser2" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Let's stop here for now and move on to DataFrames, which will expand on the concept of Series!\n", + "# Great Job!" + ] + } + ], + "metadata": { + "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": "3.5.1" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/03-Pandas/.ipynb_checkpoints/03-DataFrames-checkpoint.ipynb b/03-Pandas/.ipynb_checkpoints/03-DataFrames-checkpoint.ipynb new file mode 100644 index 0000000..f7ce678 --- /dev/null +++ b/03-Pandas/.ipynb_checkpoints/03-DataFrames-checkpoint.ipynb @@ -0,0 +1,2390 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "___\n", + "\n", + " \n", + "___" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": true + }, + "source": [ + "# DataFrames\n", + "\n", + "DataFrames are the workhorse of pandas and are directly inspired by the R programming language. We can think of a DataFrame as a bunch of Series objects put together to share the same index. Let's use pandas to explore this topic!" + ] + }, + { + "cell_type": "code", + "execution_count": 183, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "import pandas as pd\n", + "import numpy as np" + ] + }, + { + "cell_type": "code", + "execution_count": 184, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "from numpy.random import randn\n", + "np.random.seed(101)" + ] + }, + { + "cell_type": "code", + "execution_count": 185, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "df = pd.DataFrame(randn(5,4),index='A B C D E'.split(),columns='W X Y Z'.split())" + ] + }, + { + "cell_type": "code", + "execution_count": 186, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/html": [ + "
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" + ], + "text/plain": [ + " A B key1 key2 C D\n", + "0 A0 B0 K0 K0 C0 D0\n", + "1 A1 B1 K0 K1 NaN NaN\n", + "2 A2 B2 K1 K0 C1 D1\n", + "3 A2 B2 K1 K0 C2 D2\n", + "4 A3 B3 K2 K1 NaN NaN" + ] + }, + "execution_count": 42, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "pd.merge(left, right, how='left', on=['key1', 'key2'])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Joining\n", + "Joining is a convenient method for combining the columns of two potentially differently-indexed DataFrames into a single result DataFrame." + ] + }, + { + "cell_type": "code", + "execution_count": 46, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "left = pd.DataFrame({'A': ['A0', 'A1', 'A2'],\n", + " 'B': ['B0', 'B1', 'B2']},\n", + " index=['K0', 'K1', 'K2']) \n", + "\n", + "right = pd.DataFrame({'C': ['C0', 'C2', 'C3'],\n", + " 'D': ['D0', 'D2', 'D3']},\n", + " index=['K0', 'K2', 'K3'])" + ] + }, + { + "cell_type": "code", + "execution_count": 47, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/html": [ + "
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" + ], + "text/plain": [ + " col1 col2 col3\n", + "0 1 444 abc\n", + "1 2 555 def\n", + "2 3 666 ghi\n", + "3 4 444 xyz" + ] + }, + "execution_count": 52, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "import pandas as pd\n", + "df = pd.DataFrame({'col1':[1,2,3,4],'col2':[444,555,666,444],'col3':['abc','def','ghi','xyz']})\n", + "df.head()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Info on Unique Values" + ] + }, + { + "cell_type": "code", + "execution_count": 53, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([444, 555, 666])" + ] + }, + "execution_count": 53, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df['col2'].unique()" + ] + }, + { + "cell_type": "code", + "execution_count": 54, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "3" + ] + }, + "execution_count": 54, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df['col2'].nunique()" + ] + }, + { + "cell_type": "code", + "execution_count": 55, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "444 2\n", + "555 1\n", + "666 1\n", + "Name: col2, dtype: int64" + ] + }, + "execution_count": 55, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df['col2'].value_counts()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Selecting Data" + ] + }, + { + "cell_type": "code", + "execution_count": 56, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "#Select from DataFrame using criteria from multiple columns\n", + "newdf = df[(df['col1']>2) & (df['col2']==444)]" + ] + }, + { + "cell_type": "code", + "execution_count": 57, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/html": [ + "
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" + ], + "text/plain": [ + " col1 col2 col3\n", + "3 4 444 xyz" + ] + }, + "execution_count": 57, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "newdf" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Applying Functions" + ] + }, + { + "cell_type": "code", + "execution_count": 58, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "def times2(x):\n", + " return x*2" + ] + }, + { + "cell_type": "code", + "execution_count": 59, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "0 2\n", + "1 4\n", + "2 6\n", + "3 8\n", + "Name: col1, dtype: int64" + ] + }, + "execution_count": 59, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df['col1'].apply(times2)" + ] + }, + { + "cell_type": "code", + "execution_count": 60, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "0 3\n", + "1 3\n", + "2 3\n", + "3 3\n", + "Name: col3, dtype: int64" + ] + }, + "execution_count": 60, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df['col3'].apply(len)" + ] + }, + { + "cell_type": "code", + "execution_count": 61, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "10" + ] + }, + "execution_count": 61, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df['col1'].sum()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "** Permanently Removing a Column**" + ] + }, + { + "cell_type": "code", + "execution_count": 62, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "del df['col1']" + ] + }, + { + "cell_type": "code", + "execution_count": 63, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/html": [ + "
\n", + "\n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + "
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" + ], + "text/plain": [ + " col2 col3\n", + "0 444 abc\n", + "1 555 def\n", + "2 666 ghi\n", + "3 444 xyz" + ] + }, + "execution_count": 63, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "** Get column and index names: **" + ] + }, + { + "cell_type": "code", + "execution_count": 64, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "Index(['col2', 'col3'], dtype='object')" + ] + }, + "execution_count": 64, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df.columns" + ] + }, + { + "cell_type": "code", + "execution_count": 65, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "RangeIndex(start=0, stop=4, step=1)" + ] + }, + "execution_count": 65, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df.index" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "** Sorting and Ordering a DataFrame:**" + ] + }, + { + "cell_type": "code", + "execution_count": 66, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/html": [ + "
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col2col3
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" + ], + "text/plain": [ + " col2 col3\n", + "0 444 abc\n", + "1 555 def\n", + "2 666 ghi\n", + "3 444 xyz" + ] + }, + "execution_count": 66, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df" + ] + }, + { + "cell_type": "code", + "execution_count": 67, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/html": [ + "
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col2col3
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" + ], + "text/plain": [ + " col2 col3\n", + "0 444 abc\n", + "3 444 xyz\n", + "1 555 def\n", + "2 666 ghi" + ] + }, + "execution_count": 67, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df.sort_values(by='col2') #inplace=False by default" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "** Find Null Values or Check for Null Values**" + ] + }, + { + "cell_type": "code", + "execution_count": 68, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/html": [ + "
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col2col3
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" + ], + "text/plain": [ + " col2 col3\n", + "0 False False\n", + "1 False False\n", + "2 False False\n", + "3 False False" + ] + }, + "execution_count": 68, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df.isnull()" + ] + }, + { + "cell_type": "code", + "execution_count": 69, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/html": [ + "
\n", + "\n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + "
col2col3
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" + ], + "text/plain": [ + " col2 col3\n", + "0 444 abc\n", + "1 555 def\n", + "2 666 ghi\n", + "3 444 xyz" + ] + }, + "execution_count": 69, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Drop rows with NaN Values\n", + "df.dropna()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "** Filling in NaN values with something else: **" + ] + }, + { + "cell_type": "code", + "execution_count": 71, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "import numpy as np" + ] + }, + { + "cell_type": "code", + "execution_count": 72, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/html": [ + "
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" + ], + "text/plain": [ + " a b c d\n", + "0 0 1 2 3\n", + "1 4 5 6 7\n", + "2 8 9 10 11\n", + "3 12 13 14 15" + ] + }, + "execution_count": 35, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "pd.read_excel('Excel_Sample.xlsx',sheetname='Sheet1')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Excel Output" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": {}, + "outputs": [], + "source": [ + "df.to_excel('Excel_Sample.xlsx',sheet_name='Sheet1')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## HTML\n", + "\n", + "You may need to install htmllib5,lxml, and BeautifulSoup4. In your terminal/command prompt run:\n", + "\n", + " conda install lxml\n", + " conda install html5lib\n", + " conda install BeautifulSoup4\n", + "\n", + "Then restart Jupyter Notebook.\n", + "(or use pip install if you aren't using the Anaconda Distribution)\n", + "\n", + "Pandas can read table tabs off of html. For example:" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### HTML Input\n", + "\n", + "Pandas read_html function will read tables off of a webpage and return a list of DataFrame objects:" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [], + "source": [ + "df = pd.read_html('http://www.fdic.gov/bank/individual/failed/banklist.html')" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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Bank NameCitySTCERTAcquiring InstitutionClosing DateUpdated DateLoss Share TypeAgreement TerminatedTermination Date
0First CornerStone BankKing of PrussiaPA35312First-Citizens Bank & Trust CompanyMay 6, 2016July 12, 2016noneNaNNaN
1Trust Company BankMemphisTN9956The Bank of Fayette CountyApril 29, 2016August 4, 2016noneNaNNaN
2North Milwaukee State BankMilwaukeeWI20364First-Citizens Bank & Trust CompanyMarch 11, 2016June 16, 2016noneNaNNaN
3Hometown National BankLongviewWA35156Twin City BankOctober 2, 2015April 13, 2016noneNaNNaN
4The Bank of GeorgiaPeachtree CityGA35259Fidelity BankOctober 2, 2015April 13, 2016noneNaNNaN
5Premier BankDenverCO34112United Fidelity Bank, fsbJuly 10, 2015July 12, 2016noneNaNNaN
6Edgebrook BankChicagoIL57772Republic Bank of ChicagoMay 8, 2015July 12, 2016noneNaNNaN
7Doral BankEn EspanolSan JuanPR32102Banco Popular de Puerto RicoFebruary 27, 2015May 13, 2015noneNaNNaN
8Capitol City Bank & Trust CompanyAtlantaGA33938First-Citizens Bank & Trust CompanyFebruary 13, 2015April 21, 2015noneNaNNaN
9Highland Community BankChicagoIL20290United Fidelity Bank, fsbJanuary 23, 2015April 21, 2015noneNaNNaN
10First National Bank of CrestviewCrestviewFL17557First NBC BankJanuary 16, 2015January 15, 2016noneNaNNaN
11Northern Star BankMankatoMN34983BankVistaDecember 19, 2014January 6, 2016noneNaNNaN
12Frontier Bank, FSB D/B/A El Paseo BankPalm DesertCA34738Bank of Southern California, N.A.November 7, 2014January 6, 2016noneNaNNaN
13The National Republic Bank of ChicagoChicagoIL916State Bank of TexasOctober 24, 2014January 6, 2016noneNaNNaN
14NBRS FinancialRising SunMD4862Howard BankOctober 17, 2014March 26, 2015noneNaNNaN
15GreenChoice Bank, fsbChicagoIL28462Providence Bank, LLCJuly 25, 2014July 28, 2015noneNaNNaN
16Eastside Commercial BankConyersGA58125Community & Southern BankJuly 18, 2014July 11, 2016noneNaNNaN
17The Freedom State BankFreedomOK12483Alva State Bank & Trust CompanyJune 27, 2014March 25, 2016noneNaNNaN
18Valley BankFort LauderdaleFL21793Landmark Bank, National AssociationJune 20, 2014June 29, 2015noneNaNNaN
19Valley BankMolineIL10450Great Southern BankJune 20, 2014June 26, 2015noneNaNNaN
20Slavie Federal Savings BankBel AirMD32368Bay Bank, FSBMay 30, 2014June 15, 2015noneNaNNaN
21Columbia Savings BankCincinnatiOH32284United Fidelity Bank, fsbMay 23, 2014May 28, 2015noneNaNNaN
22AztecAmerica Bank En EspanolBerwynIL57866Republic Bank of ChicagoMay 16, 2014July 18, 2014noneNaNNaN
23Allendale County BankFairfaxSC15062Palmetto State BankApril 25, 2014July 18, 2014noneNaNNaN
24Vantage Point BankHorshamPA58531First Choice BankFebruary 28, 2014March 3, 2015noneNaNNaN
25Millennium Bank, National AssociationSterlingVA35096WashingtonFirst BankFebruary 28, 2014March 03, 2015noneNaNNaN
26Syringa BankBoiseID34296Sunwest BankJanuary 31, 2014April 12, 2016noneNaNNaN
27The Bank of UnionEl RenoOK17967BancFirstJanuary 24, 2014March 25, 2016noneNaNNaN
28DuPage National BankWest ChicagoIL5732Republic Bank of ChicagoJanuary 17, 2014February 19, 2015noneNaNNaN
29Texas Community Bank, National AssociationThe WoodlandsTX57431Spirit of Texas Bank, SSBDecember 13, 2013December 29, 2014noneNaNNaN
.................................
515ANB Financial, NABentonvilleAR33901Pulaski Bank and Trust CompanyMay 9, 2008August 28, 2012noneNaNNaN
516Hume BankHumeMO1971Security BankMarch 7, 2008August 28, 2012noneNaNNaN
517Douglass National BankKansas CityMO24660Liberty Bank and Trust CompanyJanuary 25, 2008October 26, 2012noneNaNNaN
518Miami Valley BankLakeviewOH16848The Citizens Banking CompanyOctober 4, 2007August 28, 2012noneNaNNaN
519NetBankAlpharettaGA32575ING DIRECTSeptember 28, 2007August 28, 2012noneNaNNaN
520Metropolitan Savings BankPittsburghPA35353Allegheny Valley Bank of PittsburghFebruary 2, 2007October 27, 2010noneNaNNaN
521Bank of EphraimEphraimUT1249Far West BankJune 25, 2004April 9, 2008noneNaNNaN
522Reliance BankWhite PlainsNY26778Union State BankMarch 19, 2004April 9, 2008noneNaNNaN
523Guaranty National Bank of TallahasseeTallahasseeFL26838Hancock Bank of FloridaMarch 12, 2004June 5, 2012noneNaNNaN
524Dollar Savings BankNewarkNJ31330No AcquirerFebruary 14, 2004April 9, 2008noneNaNNaN
525Pulaski Savings BankPhiladelphiaPA27203Earthstar BankNovember 14, 2003July 22, 2005noneNaNNaN
526First National Bank of BlanchardvilleBlanchardvilleWI11639The Park BankMay 9, 2003June 5, 2012noneNaNNaN
527Southern Pacific BankTorranceCA27094Beal BankFebruary 7, 2003October 20, 2008noneNaNNaN
528Farmers Bank of CheneyvilleCheneyvilleLA16445Sabine State Bank & TrustDecember 17, 2002October 20, 2004noneNaNNaN
529Bank of AlamoAlamoTN9961No AcquirerNovember 8, 2002March 18, 2005noneNaNNaN
530AmTrade International BankEn EspanolAtlantaGA33784No AcquirerSeptember 30, 2002September 11, 2006noneNaNNaN
531Universal Federal Savings BankChicagoIL29355Chicago Community BankJune 27, 2002April 9, 2008noneNaNNaN
532Connecticut Bank of CommerceStamfordCT19183Hudson United BankJune 26, 2002February 14, 2012noneNaNNaN
533New Century BankShelby TownshipMI34979No AcquirerMarch 28, 2002March 18, 2005noneNaNNaN
534Net 1st National BankBoca RatonFL26652Bank Leumi USAMarch 1, 2002April 9, 2008noneNaNNaN
535NextBank, NAPhoenixAZ22314No AcquirerFebruary 7, 2002February 5, 2015noneNaNNaN
536Oakwood Deposit Bank Co.OakwoodOH8966The State Bank & Trust CompanyFebruary 1, 2002October 25, 2012noneNaNNaN
537Bank of Sierra BlancaSierra BlancaTX22002The Security State Bank of PecosJanuary 18, 2002November 6, 2003noneNaNNaN
538Hamilton Bank, NAEn EspanolMiamiFL24382Israel Discount Bank of New YorkJanuary 11, 2002September 21, 2015noneNaNNaN
539Sinclair National BankGravetteAR34248Delta Trust & BankSeptember 7, 2001February 10, 2004noneNaNNaN
540Superior Bank, FSBHinsdaleIL32646Superior Federal, FSBJuly 27, 2001August 19, 2014noneNaNNaN
541Malta National BankMaltaOH6629North Valley BankMay 3, 2001November 18, 2002noneNaNNaN
542First Alliance Bank & Trust Co.ManchesterNH34264Southern New Hampshire Bank & TrustFebruary 2, 2001February 18, 2003noneNaNNaN
543National State Bank of MetropolisMetropolisIL3815Banterra Bank of MarionDecember 14, 2000March 17, 2005noneNaNNaN
544Bank of HonoluluHonoluluHI21029Bank of the OrientOctober 13, 2000March 17, 2005noneNaNNaN
\n", + "

545 rows × 10 columns

\n", + "
" + ], + "text/plain": [ + " Bank Name City ST CERT \\\n", + "0 First CornerStone Bank King of Prussia PA 35312 \n", + "1 Trust Company Bank Memphis TN 9956 \n", + "2 North Milwaukee State Bank Milwaukee WI 20364 \n", + "3 Hometown National Bank Longview WA 35156 \n", + "4 The Bank of Georgia Peachtree City GA 35259 \n", + "5 Premier Bank Denver CO 34112 \n", + "6 Edgebrook Bank Chicago IL 57772 \n", + "7 Doral BankEn Espanol San Juan PR 32102 \n", + "8 Capitol City Bank & Trust Company Atlanta GA 33938 \n", + "9 Highland Community Bank Chicago IL 20290 \n", + "10 First National Bank of Crestview Crestview FL 17557 \n", + "11 Northern Star Bank Mankato MN 34983 \n", + "12 Frontier Bank, FSB D/B/A El Paseo Bank Palm Desert CA 34738 \n", + "13 The National Republic Bank of Chicago Chicago IL 916 \n", + "14 NBRS Financial Rising Sun MD 4862 \n", + "15 GreenChoice Bank, fsb Chicago IL 28462 \n", + "16 Eastside Commercial Bank Conyers GA 58125 \n", + "17 The Freedom State Bank Freedom OK 12483 \n", + "18 Valley Bank Fort Lauderdale FL 21793 \n", + "19 Valley Bank Moline IL 10450 \n", + "20 Slavie Federal Savings Bank Bel Air MD 32368 \n", + "21 Columbia Savings Bank Cincinnati OH 32284 \n", + "22 AztecAmerica Bank En Espanol Berwyn IL 57866 \n", + "23 Allendale County Bank Fairfax SC 15062 \n", + "24 Vantage Point Bank Horsham PA 58531 \n", + "25 Millennium Bank, National Association Sterling VA 35096 \n", + "26 Syringa Bank Boise ID 34296 \n", + "27 The Bank of Union El Reno OK 17967 \n", + "28 DuPage National Bank West Chicago IL 5732 \n", + "29 Texas Community Bank, National Association The Woodlands TX 57431 \n", + ".. ... ... .. ... \n", + "515 ANB Financial, NA Bentonville AR 33901 \n", + "516 Hume Bank Hume MO 1971 \n", + "517 Douglass National Bank Kansas City MO 24660 \n", + "518 Miami Valley Bank Lakeview OH 16848 \n", + "519 NetBank Alpharetta GA 32575 \n", + "520 Metropolitan Savings Bank Pittsburgh PA 35353 \n", + "521 Bank of Ephraim Ephraim UT 1249 \n", + "522 Reliance Bank White Plains NY 26778 \n", + "523 Guaranty National Bank of Tallahassee Tallahassee FL 26838 \n", + "524 Dollar Savings Bank Newark NJ 31330 \n", + "525 Pulaski Savings Bank Philadelphia PA 27203 \n", + "526 First National Bank of Blanchardville Blanchardville WI 11639 \n", + "527 Southern Pacific Bank Torrance CA 27094 \n", + "528 Farmers Bank of Cheneyville Cheneyville LA 16445 \n", + "529 Bank of Alamo Alamo TN 9961 \n", + "530 AmTrade International BankEn Espanol Atlanta GA 33784 \n", + "531 Universal Federal Savings Bank Chicago IL 29355 \n", + "532 Connecticut Bank of Commerce Stamford CT 19183 \n", + "533 New Century Bank Shelby Township MI 34979 \n", + "534 Net 1st National Bank Boca Raton FL 26652 \n", + "535 NextBank, NA Phoenix AZ 22314 \n", + "536 Oakwood Deposit Bank Co. Oakwood OH 8966 \n", + "537 Bank of Sierra Blanca Sierra Blanca TX 22002 \n", + "538 Hamilton Bank, NAEn Espanol Miami FL 24382 \n", + "539 Sinclair National Bank Gravette AR 34248 \n", + "540 Superior Bank, FSB Hinsdale IL 32646 \n", + "541 Malta National Bank Malta OH 6629 \n", + "542 First Alliance Bank & Trust Co. Manchester NH 34264 \n", + "543 National State Bank of Metropolis Metropolis IL 3815 \n", + "544 Bank of Honolulu Honolulu HI 21029 \n", + "\n", + " Acquiring Institution Closing Date \\\n", + "0 First-Citizens Bank & Trust Company May 6, 2016 \n", + "1 The Bank of Fayette County April 29, 2016 \n", + "2 First-Citizens Bank & Trust Company March 11, 2016 \n", + "3 Twin City Bank October 2, 2015 \n", + "4 Fidelity Bank October 2, 2015 \n", + "5 United Fidelity Bank, fsb July 10, 2015 \n", + "6 Republic Bank of Chicago May 8, 2015 \n", + "7 Banco Popular de Puerto Rico February 27, 2015 \n", + "8 First-Citizens Bank & Trust Company February 13, 2015 \n", + "9 United Fidelity Bank, fsb January 23, 2015 \n", + "10 First NBC Bank January 16, 2015 \n", + "11 BankVista December 19, 2014 \n", + "12 Bank of Southern California, N.A. November 7, 2014 \n", + "13 State Bank of Texas October 24, 2014 \n", + "14 Howard Bank October 17, 2014 \n", + "15 Providence Bank, LLC July 25, 2014 \n", + "16 Community & Southern Bank July 18, 2014 \n", + "17 Alva State Bank & Trust Company June 27, 2014 \n", + "18 Landmark Bank, National Association June 20, 2014 \n", + "19 Great Southern Bank June 20, 2014 \n", + "20 Bay Bank, FSB May 30, 2014 \n", + "21 United Fidelity Bank, fsb May 23, 2014 \n", + "22 Republic Bank of Chicago May 16, 2014 \n", + "23 Palmetto State Bank April 25, 2014 \n", + "24 First Choice Bank February 28, 2014 \n", + "25 WashingtonFirst Bank February 28, 2014 \n", + "26 Sunwest Bank January 31, 2014 \n", + "27 BancFirst January 24, 2014 \n", + "28 Republic Bank of Chicago January 17, 2014 \n", + "29 Spirit of Texas Bank, SSB December 13, 2013 \n", + ".. ... ... \n", + "515 Pulaski Bank and Trust Company May 9, 2008 \n", + "516 Security Bank March 7, 2008 \n", + "517 Liberty Bank and Trust Company January 25, 2008 \n", + "518 The Citizens Banking Company October 4, 2007 \n", + "519 ING DIRECT September 28, 2007 \n", + "520 Allegheny Valley Bank of Pittsburgh February 2, 2007 \n", + "521 Far West Bank June 25, 2004 \n", + "522 Union State Bank March 19, 2004 \n", + "523 Hancock Bank of Florida March 12, 2004 \n", + "524 No Acquirer February 14, 2004 \n", + "525 Earthstar Bank November 14, 2003 \n", + "526 The Park Bank May 9, 2003 \n", + "527 Beal Bank February 7, 2003 \n", + "528 Sabine State Bank & Trust December 17, 2002 \n", + "529 No Acquirer November 8, 2002 \n", + "530 No Acquirer September 30, 2002 \n", + "531 Chicago Community Bank June 27, 2002 \n", + "532 Hudson United Bank June 26, 2002 \n", + "533 No Acquirer March 28, 2002 \n", + "534 Bank Leumi USA March 1, 2002 \n", + "535 No Acquirer February 7, 2002 \n", + "536 The State Bank & Trust Company February 1, 2002 \n", + "537 The Security State Bank of Pecos January 18, 2002 \n", + "538 Israel Discount Bank of New York January 11, 2002 \n", + "539 Delta Trust & Bank September 7, 2001 \n", + "540 Superior Federal, FSB July 27, 2001 \n", + "541 North Valley Bank May 3, 2001 \n", + "542 Southern New Hampshire Bank & Trust February 2, 2001 \n", + "543 Banterra Bank of Marion December 14, 2000 \n", + "544 Bank of the Orient October 13, 2000 \n", + "\n", + " Updated Date Loss Share Type Agreement Terminated Termination Date \n", + "0 July 12, 2016 none NaN NaN \n", + "1 August 4, 2016 none NaN NaN \n", + "2 June 16, 2016 none NaN NaN \n", + "3 April 13, 2016 none NaN NaN \n", + "4 April 13, 2016 none NaN NaN \n", + "5 July 12, 2016 none NaN NaN \n", + "6 July 12, 2016 none NaN NaN \n", + "7 May 13, 2015 none NaN NaN \n", + "8 April 21, 2015 none NaN NaN \n", + "9 April 21, 2015 none NaN NaN \n", + "10 January 15, 2016 none NaN NaN \n", + "11 January 6, 2016 none NaN NaN \n", + "12 January 6, 2016 none NaN NaN \n", + "13 January 6, 2016 none NaN NaN \n", + "14 March 26, 2015 none NaN NaN \n", + "15 July 28, 2015 none NaN NaN \n", + "16 July 11, 2016 none NaN NaN \n", + "17 March 25, 2016 none NaN NaN \n", + "18 June 29, 2015 none NaN NaN \n", + "19 June 26, 2015 none NaN NaN \n", + "20 June 15, 2015 none NaN NaN \n", + "21 May 28, 2015 none NaN NaN \n", + "22 July 18, 2014 none NaN NaN \n", + "23 July 18, 2014 none NaN NaN \n", + "24 March 3, 2015 none NaN NaN \n", + "25 March 03, 2015 none NaN NaN \n", + "26 April 12, 2016 none NaN NaN \n", + "27 March 25, 2016 none NaN NaN \n", + "28 February 19, 2015 none NaN NaN \n", + "29 December 29, 2014 none NaN NaN \n", + ".. ... ... ... ... \n", + "515 August 28, 2012 none NaN NaN \n", + "516 August 28, 2012 none NaN NaN \n", + "517 October 26, 2012 none NaN NaN \n", + "518 August 28, 2012 none NaN NaN \n", + "519 August 28, 2012 none NaN NaN \n", + "520 October 27, 2010 none NaN NaN \n", + "521 April 9, 2008 none NaN NaN \n", + "522 April 9, 2008 none NaN NaN \n", + "523 June 5, 2012 none NaN NaN \n", + "524 April 9, 2008 none NaN NaN \n", + "525 July 22, 2005 none NaN NaN \n", + "526 June 5, 2012 none NaN NaN \n", + "527 October 20, 2008 none NaN NaN \n", + "528 October 20, 2004 none NaN NaN \n", + "529 March 18, 2005 none NaN NaN \n", + "530 September 11, 2006 none NaN NaN \n", + "531 April 9, 2008 none NaN NaN \n", + "532 February 14, 2012 none NaN NaN \n", + "533 March 18, 2005 none NaN NaN \n", + "534 April 9, 2008 none NaN NaN \n", + "535 February 5, 2015 none NaN NaN \n", + "536 October 25, 2012 none NaN NaN \n", + "537 November 6, 2003 none NaN NaN \n", + "538 September 21, 2015 none NaN NaN \n", + "539 February 10, 2004 none NaN NaN \n", + "540 August 19, 2014 none NaN NaN \n", + "541 November 18, 2002 none NaN NaN \n", + "542 February 18, 2003 none NaN NaN \n", + "543 March 17, 2005 none NaN NaN \n", + "544 March 17, 2005 none NaN NaN \n", + "\n", + "[545 rows x 10 columns]" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df[0]" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": true + }, + "source": [ + "____" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Great Job!" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.6.1" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} diff --git a/03-Pandas/01-Introduction-Pandas.ipynb b/03-Pandas/01-Introduction-Pandas.ipynb new file mode 100644 index 0000000..b02c1e1 --- /dev/null +++ b/03-Pandas/01-Introduction-Pandas.ipynb @@ -0,0 +1,45 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "collapsed": true + }, + "source": [ + "# Introduction à Pandas\n", + "\n", + "Dans cette section du cours, nous apprendrons comment utiliser pandas pour l'analyse des données. Vous pouvez considérer pandas comme une version extrêmement puissante d'Excel, avec beaucoup plus de fonctionnalités. Dans cette section du cours, vous devriez passer en revue les notebooks dans cet ordre :\n", + "\n", + "* Introduction à Pandas\n", + "* Series\n", + "* DataFrames\n", + "* Données manquantes\n", + "* GroupBy\n", + "* Merge, Join et Concat\n", + "* Opérations\n", + "* Data Input et Output" + ] + } + ], + "metadata": { + "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": "3.7.5" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} diff --git a/03-Pandas/02-Series.ipynb b/03-Pandas/02-Series.ipynb new file mode 100644 index 0000000..7e4bffd --- /dev/null +++ b/03-Pandas/02-Series.ipynb @@ -0,0 +1,430 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Series" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Le premier grand type de données que nous apprendrons sur pandas est le type de données de la série. Importez Pandas et explorez l'objet Série.\n", + "\n", + "Une série est très similaire à un tableau NumPy (en fait, elle est construite sur l'objet tableau NumPy). Ce qui différencie le tableau NumPy d'une série, c'est qu'une série peut avoir des étiquettes d'axes, ce qui signifie qu'elle peut être indexée par une étiquette, au lieu d'un simple emplacement de numéro. Il n'a pas non plus besoin de contenir des données numériques, il peut contenir n'importe quel objet Python arbitraire.\n", + "\n", + "Examinons ce concept à travers quelques exemples :" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import pandas as pd" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Création d'une d'un objet Series\n", + "\n", + "Vous pouvez convertir une liste, un tableau numpy ou un dictionnaire en série :" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "labels = ['a','b','c']\n", + "my_list = [10,20,30]\n", + "arr = np.array([10,20,30])\n", + "d = {'a':10,'b':20,'c':30}" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**en utilisant des listes**" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "0 10\n", + "1 20\n", + "2 30\n", + "dtype: int64" + ] + }, + "metadata": {}, + "execution_count": 3 + } + ], + "source": [ + "pd.Series(data=my_list)" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "a 10\n", + "b 20\n", + "c 30\n", + "dtype: int64" + ] + }, + "metadata": {}, + "execution_count": 4 + } + ], + "source": [ + "pd.Series(data=my_list,index=labels)" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "a 10\n", + "b 20\n", + "c 30\n", + "dtype: int64" + ] + }, + "metadata": {}, + "execution_count": 5 + } + ], + "source": [ + "pd.Series(my_list,labels)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**en utilisant des tableaux NumPy**" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "0 10\n", + "1 20\n", + "2 30\n", + "dtype: int32" + ] + }, + "metadata": {}, + "execution_count": 6 + } + ], + "source": [ + "pd.Series(arr)" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "a 10\n", + "b 20\n", + "c 30\n", + "dtype: int32" + ] + }, + "metadata": {}, + "execution_count": 7 + } + ], + "source": [ + "pd.Series(arr,labels)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**en utilisant des dictionnaires**" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "a 10\n", + "b 20\n", + "c 30\n", + "dtype: int64" + ] + }, + "metadata": {}, + "execution_count": 8 + } + ], + "source": [ + "pd.Series(d)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Données dans une Série\n", + "\n", + "Une série pandas peut contenir une variété de types d'objets :" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "0 a\n", + "1 b\n", + "2 c\n", + "dtype: object" + ] + }, + "metadata": {}, + "execution_count": 9 + } + ], + "source": [ + "pd.Series(data=labels)" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "0 \n", + "1 \n", + "2 \n", + "dtype: object" + ] + }, + "metadata": {}, + "execution_count": 10 + } + ], + "source": [ + "# Même es fonctions (bien qu'il soit peu probable que vous l'utilisiez)\n", + "pd.Series([sum,print,len])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## En utilisant un Index\n", + "\n", + "La clé de l'utilisation d'une série est la compréhension de son index. Pandas utilise ces noms ou numéros d'index en permettant une recherche rapide de l'information (fonctionne comme une table de hachage ou un dictionnaire).\n", + "\n", + "Voyons quelques exemples de la façon d'extraire des informations d'une série. Créons deux séries ser1 et ser2 :" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [], + "source": [ + "ser1 = pd.Series([1,2,3,4],index = ['USA', 'Germany','France', 'Japan']) " + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "USA 1\n", + "Germany 2\n", + "France 3\n", + "Japan 4\n", + "dtype: int64" + ] + }, + "metadata": {}, + "execution_count": 12 + } + ], + "source": [ + "ser1" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [], + "source": [ + "ser2 = pd.Series([1,2,5,4],index = ['USA', 'Germany','Italy', 'Japan']) " + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "USA 1\n", + "Germany 2\n", + "Italy 5\n", + "Japan 4\n", + "dtype: int64" + ] + }, + "metadata": {}, + "execution_count": 14 + } + ], + "source": [ + "ser2" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "1" + ] + }, + "metadata": {}, + "execution_count": 15 + } + ], + "source": [ + "ser1['USA']" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Les opérations sont alors également effectuées sur la base de l'index :" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "France NaN\n", + "Germany 4.0\n", + "Italy NaN\n", + "Japan 8.0\n", + "USA 2.0\n", + "dtype: float64" + ] + }, + "metadata": {}, + "execution_count": 16 + } + ], + "source": [ + "ser1 + ser2" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Arrêtons-nous ici pour l'instant et passons aux DataFrames, qui vont développer le concept de Série !\n", + "# Bon travail!" + ] + } + ], + "metadata": { + "kernelspec": { + "name": "python3", + "display_name": "Python 3.7.9 64-bit ('pyfinance': conda)", + "metadata": { + "interpreter": { + "hash": "e89404a230d8800c54ad520c7b67d1bd9bb833a07b37dd3e521a178a3dc34904" + } + } + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.7.9-final" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} \ No newline at end of file diff --git a/03-Pandas/03-DataFrames.ipynb b/03-Pandas/03-DataFrames.ipynb new file mode 100644 index 0000000..c8c002d --- /dev/null +++ b/03-Pandas/03-DataFrames.ipynb @@ -0,0 +1,1139 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "collapsed": true + }, + "source": [ + "# DataFrames\n", + "\n", + "Les DataFrames sont le point central de pandas et sont directement inspirés par le langage de programmation R. Nous pouvons considérer un DataFrame comme un ensemble d'objets Series assemblés et qui partagent le même index. Utilisons pandas pour explorer ce sujet !" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import pandas as pd\n", + "import numpy as np" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "from numpy.random import randn\n", + "np.random.seed(101)" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "df = pd.DataFrame(randn(5,4),index='A B C D E'.split(),columns='W X Y Z'.split())" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " W X Y Z\n", + "A 2.706850 0.628133 0.907969 0.503826\n", + "B 0.651118 -0.319318 -0.848077 0.605965\n", + "C -2.018168 0.740122 0.528813 -0.589001\n", + "D 0.188695 -0.758872 -0.933237 0.955057\n", + "E 0.190794 1.978757 2.605967 0.683509" + ], + "text/html": "
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" + }, + "metadata": {}, + "execution_count": 6 + } + ], + "source": [ + "# Passer une liste de noms de colonnes\n", + "df[['W','Z']]" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "A 2.706850\n", + "B 0.651118\n", + "C -2.018168\n", + "D 0.188695\n", + "E 0.190794\n", + "Name: W, dtype: float64" + ] + }, + "metadata": {}, + "execution_count": 7 + } + ], + "source": [ + "# Syntaxe SQL (Non Recommandée!)\n", + "df.W" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Les colonnes d'un DataFrame sont juste des séries" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "pandas.core.series.Series" + ] + }, + "metadata": {}, + "execution_count": 8 + } + ], + "source": [ + "type(df['W'])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Création d'une nouvelle colonne:**" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [], + "source": [ + "df['new'] = df['W'] + df['Y']" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " W X Y Z new\n", + "A 2.706850 0.628133 0.907969 0.503826 3.614819\n", + "B 0.651118 -0.319318 -0.848077 0.605965 -0.196959\n", + "C -2.018168 0.740122 0.528813 -0.589001 -1.489355\n", + "D 0.188695 -0.758872 -0.933237 0.955057 -0.744542\n", + "E 0.190794 1.978757 2.605967 0.683509 2.796762" + ], + "text/html": "
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" + }, + "metadata": {}, + "execution_count": 12 + } + ], + "source": [ + "# Pas de remplacement sauf si spécifié!\n", + "df" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [], + "source": [ + "df.drop('new',axis=1,inplace=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " W X Y Z\n", + "A 2.706850 0.628133 0.907969 0.503826\n", + "B 0.651118 -0.319318 -0.848077 0.605965\n", + "C -2.018168 0.740122 0.528813 -0.589001\n", + "D 0.188695 -0.758872 -0.933237 0.955057\n", + "E 0.190794 1.978757 2.605967 0.683509" + ], + "text/html": "
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WXYZ
A2.7068500.6281330.9079690.503826
B0.651118-0.319318-0.8480770.605965
C-2.0181680.7401220.528813-0.589001
D0.188695-0.758872-0.9332370.955057
E0.1907941.9787572.6059670.683509
\n
" + }, + "metadata": {}, + "execution_count": 14 + } + ], + "source": [ + "df" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "On peut aussi supprimer une ligne de cette façon:" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " W X Y Z\n", + "A 2.706850 0.628133 0.907969 0.503826\n", + "B 0.651118 -0.319318 -0.848077 0.605965\n", + "C -2.018168 0.740122 0.528813 -0.589001\n", + "D 0.188695 -0.758872 -0.933237 0.955057" + ], + "text/html": "
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WXYZ
A2.7068500.6281330.9079690.503826
B0.651118-0.319318-0.8480770.605965
C-2.0181680.7401220.528813-0.589001
D0.188695-0.758872-0.9332370.955057
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" + }, + "metadata": {}, + "execution_count": 15 + } + ], + "source": [ + "df.drop('E',axis=0)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Sélection de lignes**" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "W 2.706850\n", + "X 0.628133\n", + "Y 0.907969\n", + "Z 0.503826\n", + "Name: A, dtype: float64" + ] + }, + "metadata": {}, + "execution_count": 16 + } + ], + "source": [ + "df.loc['A']" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Ou sélectionner en fonction de la position au lieu de l'étiquette " + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "W -2.018168\n", + "X 0.740122\n", + "Y 0.528813\n", + "Z -0.589001\n", + "Name: C, dtype: float64" + ] + }, + "metadata": {}, + "execution_count": 17 + } + ], + "source": [ + "df.iloc[2]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Sélection d'un sous-ensemble de lignes et de colonnes**" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "-0.8480769834036315" + ] + }, + "metadata": {}, + "execution_count": 18 + } + ], + "source": [ + "df.loc['B','Y']" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " W Y\n", + "A 2.706850 0.907969\n", + "B 0.651118 -0.848077" + ], + "text/html": "
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WY
A2.7068500.907969
B0.651118-0.848077
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" + }, + "metadata": {}, + "execution_count": 19 + } + ], + "source": [ + "df.loc[['A','B'],['W','Y']]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Sélection conditionnelle\n", + "\n", + "Une caractéristique importante de pandas est la sélection conditionnelle à l'aide des crochets, très similaire à celle de numpy :" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " W X Y Z\n", + "A 2.706850 0.628133 0.907969 0.503826\n", + "B 0.651118 -0.319318 -0.848077 0.605965\n", + "C -2.018168 0.740122 0.528813 -0.589001\n", + "D 0.188695 -0.758872 -0.933237 0.955057\n", + "E 0.190794 1.978757 2.605967 0.683509" + ], + "text/html": "
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WXYZ
A2.7068500.6281330.9079690.503826
B0.651118-0.319318-0.8480770.605965
C-2.0181680.7401220.528813-0.589001
D0.188695-0.758872-0.9332370.955057
E0.1907941.9787572.6059670.683509
\n
" + }, + "metadata": {}, + "execution_count": 20 + } + ], + "source": [ + "df" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " W X Y Z\n", + "A True True True True\n", + "B True False False True\n", + "C False True True False\n", + "D True False False True\n", + "E True True True True" + ], + "text/html": "
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WXYZ
ATrueTrueTrueTrue
BTrueFalseFalseTrue
CFalseTrueTrueFalse
DTrueFalseFalseTrue
ETrueTrueTrueTrue
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" + }, + "metadata": {}, + "execution_count": 21 + } + ], + "source": [ + "df>0" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " W X Y Z\n", + "A 2.706850 0.628133 0.907969 0.503826\n", + "B 0.651118 NaN NaN 0.605965\n", + "C NaN 0.740122 0.528813 NaN\n", + "D 0.188695 NaN NaN 0.955057\n", + "E 0.190794 1.978757 2.605967 0.683509" + ], + "text/html": "
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WXYZ
A2.7068500.6281330.9079690.503826
B0.651118NaNNaN0.605965
CNaN0.7401220.528813NaN
D0.188695NaNNaN0.955057
E0.1907941.9787572.6059670.683509
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" + }, + "metadata": {}, + "execution_count": 22 + } + ], + "source": [ + "df[df>0]" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " W X Y Z\n", + "A 2.706850 0.628133 0.907969 0.503826\n", + "B 0.651118 -0.319318 -0.848077 0.605965\n", + "D 0.188695 -0.758872 -0.933237 0.955057\n", + "E 0.190794 1.978757 2.605967 0.683509" + ], + "text/html": "
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WXYZ
A2.7068500.6281330.9079690.503826
B0.651118-0.319318-0.8480770.605965
D0.188695-0.758872-0.9332370.955057
E0.1907941.9787572.6059670.683509
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" + }, + "metadata": {}, + "execution_count": 23 + } + ], + "source": [ + "df[df['W']>0]" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "A 0.907969\n", + "B -0.848077\n", + "D -0.933237\n", + "E 2.605967\n", + "Name: Y, dtype: float64" + ] + }, + "metadata": {}, + "execution_count": 24 + } + ], + "source": [ + "df[df['W']>0]['Y']" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " Y X\n", + "A 0.907969 0.628133\n", + "B -0.848077 -0.319318\n", + "D -0.933237 -0.758872\n", + "E 2.605967 1.978757" + ], + "text/html": "
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YX
A0.9079690.628133
B-0.848077-0.319318
D-0.933237-0.758872
E2.6059671.978757
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" + }, + "metadata": {}, + "execution_count": 25 + } + ], + "source": [ + "df[df['W']>0][['Y','X']]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Pour 2 conditions, vous pouvez utiliser | et & avec des parenthèses:" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " W X Y Z\n", + "E 0.190794 1.978757 2.605967 0.683509" + ], + "text/html": "
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WXYZ
E0.1907941.9787572.6059670.683509
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" + }, + "metadata": {}, + "execution_count": 26 + } + ], + "source": [ + "df[(df['W']>0) & (df['Y'] > 1)]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Plus de détails sur l'Index\n", + "\n", + "Discutons d'autres caractéristiques de l'indexation, y compris la réinitialisation de l'index ou la définition d'une autre fonction. Nous parlerons aussi de la hiérarchie des indices !" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " W X Y Z\n", + "A 2.706850 0.628133 0.907969 0.503826\n", + "B 0.651118 -0.319318 -0.848077 0.605965\n", + "C -2.018168 0.740122 0.528813 -0.589001\n", + "D 0.188695 -0.758872 -0.933237 0.955057\n", + "E 0.190794 1.978757 2.605967 0.683509" + ], + "text/html": "
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WXYZ
A2.7068500.6281330.9079690.503826
B0.651118-0.319318-0.8480770.605965
C-2.0181680.7401220.528813-0.589001
D0.188695-0.758872-0.9332370.955057
E0.1907941.9787572.6059670.683509
\n
" + }, + "metadata": {}, + "execution_count": 27 + } + ], + "source": [ + "df" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " index W X Y Z\n", + "0 A 2.706850 0.628133 0.907969 0.503826\n", + "1 B 0.651118 -0.319318 -0.848077 0.605965\n", + "2 C -2.018168 0.740122 0.528813 -0.589001\n", + "3 D 0.188695 -0.758872 -0.933237 0.955057\n", + "4 E 0.190794 1.978757 2.605967 0.683509" + ], + "text/html": "
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indexWXYZ
0A2.7068500.6281330.9079690.503826
1B0.651118-0.319318-0.8480770.605965
2C-2.0181680.7401220.528813-0.589001
3D0.188695-0.758872-0.9332370.955057
4E0.1907941.9787572.6059670.683509
\n
" + }, + "metadata": {}, + "execution_count": 28 + } + ], + "source": [ + "# Réinitialisation de l'indice par défaut 0,1...n\n", + "df.reset_index()" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [], + "source": [ + "newind = 'CA NY WY OR CO'.split()" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [], + "source": [ + "df['States'] = newind" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " W X Y Z States\n", + "A 2.706850 0.628133 0.907969 0.503826 CA\n", + "B 0.651118 -0.319318 -0.848077 0.605965 NY\n", + "C -2.018168 0.740122 0.528813 -0.589001 WY\n", + "D 0.188695 -0.758872 -0.933237 0.955057 OR\n", + "E 0.190794 1.978757 2.605967 0.683509 CO" + ], + "text/html": "
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WXYZStates
A2.7068500.6281330.9079690.503826CA
B0.651118-0.319318-0.8480770.605965NY
C-2.0181680.7401220.528813-0.589001WY
D0.188695-0.758872-0.9332370.955057OR
E0.1907941.9787572.6059670.683509CO
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" + }, + "metadata": {}, + "execution_count": 31 + } + ], + "source": [ + "df" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " W X Y Z\n", + "States \n", + "CA 2.706850 0.628133 0.907969 0.503826\n", + "NY 0.651118 -0.319318 -0.848077 0.605965\n", + "WY -2.018168 0.740122 0.528813 -0.589001\n", + "OR 0.188695 -0.758872 -0.933237 0.955057\n", + "CO 0.190794 1.978757 2.605967 0.683509" + ], + "text/html": "
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WXYZ
States
CA2.7068500.6281330.9079690.503826
NY0.651118-0.319318-0.8480770.605965
WY-2.0181680.7401220.528813-0.589001
OR0.188695-0.758872-0.9332370.955057
CO0.1907941.9787572.6059670.683509
\n
" + }, + "metadata": {}, + "execution_count": 32 + } + ], + "source": [ + "df.set_index('States')" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " W X Y Z States\n", + "A 2.706850 0.628133 0.907969 0.503826 CA\n", + "B 0.651118 -0.319318 -0.848077 0.605965 NY\n", + "C -2.018168 0.740122 0.528813 -0.589001 WY\n", + "D 0.188695 -0.758872 -0.933237 0.955057 OR\n", + "E 0.190794 1.978757 2.605967 0.683509 CO" + ], + "text/html": "
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WXYZStates
A2.7068500.6281330.9079690.503826CA
B0.651118-0.319318-0.8480770.605965NY
C-2.0181680.7401220.528813-0.589001WY
D0.188695-0.758872-0.9332370.955057OR
E0.1907941.9787572.6059670.683509CO
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" + }, + "metadata": {}, + "execution_count": 33 + } + ], + "source": [ + "df" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": {}, + "outputs": [], + "source": [ + "df.set_index('States',inplace=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " W X Y Z\n", + "States \n", + "CA 2.706850 0.628133 0.907969 0.503826\n", + "NY 0.651118 -0.319318 -0.848077 0.605965\n", + "WY -2.018168 0.740122 0.528813 -0.589001\n", + "OR 0.188695 -0.758872 -0.933237 0.955057\n", + "CO 0.190794 1.978757 2.605967 0.683509" + ], + "text/html": "
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WXYZ
States
CA2.7068500.6281330.9079690.503826
NY0.651118-0.319318-0.8480770.605965
WY-2.0181680.7401220.528813-0.589001
OR0.188695-0.758872-0.9332370.955057
CO0.1907941.9787572.6059670.683509
\n
" + }, + "metadata": {}, + "execution_count": 35 + } + ], + "source": [ + "df" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Multi-index et hiérarchie des indices\n", + "\n", + "Voyons comment travailler avec un Multi-Index, nous allons d'abord créer un exemple rapide de ce à quoi ressemblerait un DataFrame Multi-Indexé :" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": {}, + "outputs": [], + "source": [ + "# Niveaux d'Index\n", + "outside = ['G1','G1','G1','G2','G2','G2']\n", + "inside = [1,2,3,1,2,3]\n", + "hier_index = list(zip(outside,inside))\n", + "hier_index = pd.MultiIndex.from_tuples(hier_index)" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "MultiIndex([('G1', 1),\n", + " ('G1', 2),\n", + " ('G1', 3),\n", + " ('G2', 1),\n", + " ('G2', 2),\n", + " ('G2', 3)],\n", + " )" + ] + }, + "metadata": {}, + "execution_count": 37 + } + ], + "source": [ + "hier_index" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " A B\n", + "G1 1 0.302665 1.693723\n", + " 2 -1.706086 -1.159119\n", + " 3 -0.134841 0.390528\n", + "G2 1 0.166905 0.184502\n", + " 2 0.807706 0.072960\n", + " 3 0.638787 0.329646" + ], + "text/html": "
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AB
G110.3026651.693723
2-1.706086-1.159119
3-0.1348410.390528
G210.1669050.184502
20.8077060.072960
30.6387870.329646
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" + }, + "metadata": {}, + "execution_count": 38 + } + ], + "source": [ + "df = pd.DataFrame(np.random.randn(6,2),index=hier_index,columns=['A','B'])\n", + "df" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Maintenant, montrons comment indexer ceci ! Pour la hiérarchie d'index nous utilisons df.loc[], si c'était sur l'axe des colonnes, vous n'utiliseriez que la notation normale entre crochets df[]. L'appel d'un niveau de l'index retourne un sous-dataframe :" + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " A B\n", + "1 0.302665 1.693723\n", + "2 -1.706086 -1.159119\n", + "3 -0.134841 0.390528" + ], + "text/html": "
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" + }, + "metadata": {}, + "execution_count": 43 + } + ], + "source": [ + "df" + ] + }, + { + "cell_type": "code", + "execution_count": 44, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " A B\n", + "Num \n", + "1 0.302665 1.693723\n", + "2 -1.706086 -1.159119\n", + "3 -0.134841 0.390528" + ], + "text/html": "
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" + }, + "metadata": {}, + "execution_count": 44 + } + ], + "source": [ + "df.xs('G1')" + ] + }, + { + "cell_type": "code", + "execution_count": 45, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "A 0.302665\n", + "B 1.693723\n", + "Name: (G1, 1), dtype: float64" + ] + }, + "metadata": {}, + "execution_count": 45 + } + ], + "source": [ + "df.xs(['G1',1])" + ] + }, + { + "cell_type": "code", + "execution_count": 46, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " A B\n", + "Group \n", + "G1 0.302665 1.693723\n", + "G2 0.166905 0.184502" + ], + "text/html": "
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" + }, + "metadata": {}, + "execution_count": 46 + } + ], + "source": [ + "df.xs(1,level='Num')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Bon travail!" + ] + } + ], + "metadata": { + "kernelspec": { + "name": "python3", + "display_name": "Python 3.7.9 64-bit ('pyfinance': conda)", + "metadata": { + "interpreter": { + "hash": "e89404a230d8800c54ad520c7b67d1bd9bb833a07b37dd3e521a178a3dc34904" + } + } + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.7.9-final" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} \ No newline at end of file diff --git a/03-Pandas/04-Missing-Data.ipynb b/03-Pandas/04-Missing-Data.ipynb new file mode 100644 index 0000000..849dc97 --- /dev/null +++ b/03-Pandas/04-Missing-Data.ipynb @@ -0,0 +1,206 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Données manquantes\n", + "\n", + "Montrons quelques méthodes pratiques pour traiter les données manquantes dans pandas :" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import pandas as pd" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "df = pd.DataFrame({'A':[1,2,np.nan],\n", + " 'B':[5,np.nan,np.nan],\n", + " 'C':[1,2,3]})" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " A B C\n", + "0 1.0 5.0 1\n", + "1 2.0 NaN 2\n", + "2 NaN NaN 3" + ], + "text/html": "
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ABC
01.05.01
12.0NaN2
2NaNNaN3
\n
" + }, + "metadata": {}, + "execution_count": 3 + } + ], + "source": [ + "df" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " A B C\n", + "0 1.0 5.0 1" + ], + "text/html": "
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ABC
01.05.01
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" + }, + "metadata": {}, + "execution_count": 4 + } + ], + "source": [ + "df.dropna()" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " C\n", + "0 1\n", + "1 2\n", + "2 3" + ], + "text/html": "
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C
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" + }, + "metadata": {}, + "execution_count": 5 + } + ], + "source": [ + "df.dropna(axis=1)" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " A B C\n", + "0 1.0 5.0 1\n", + "1 2.0 NaN 2" + ], + "text/html": "
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ABC
01.05.01
12.0NaN2
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" + }, + "metadata": {}, + "execution_count": 6 + } + ], + "source": [ + "df.dropna(thresh=2)" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " A B C\n", + "0 1 5 1\n", + "1 2 Valeur de remplacement 2\n", + "2 Valeur de remplacement Valeur de remplacement 3" + ], + "text/html": "
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ABC
0151
12Valeur de remplacement2
2Valeur de remplacementValeur de remplacement3
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" + }, + "metadata": {}, + "execution_count": 7 + } + ], + "source": [ + "df.fillna(value='Valeur de remplacement')" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "0 1.0\n", + "1 2.0\n", + "2 1.5\n", + "Name: A, dtype: float64" + ] + }, + "metadata": {}, + "execution_count": 8 + } + ], + "source": [ + "df['A'].fillna(value=df['A'].mean())" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Bon travail!" + ] + } + ], + "metadata": { + "kernelspec": { + "name": "python3", + "display_name": "Python 3.7.9 64-bit ('pyfinance': conda)", + "metadata": { + "interpreter": { + "hash": "e89404a230d8800c54ad520c7b67d1bd9bb833a07b37dd3e521a178a3dc34904" + } + } + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.7.9-final" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} \ No newline at end of file diff --git a/03-Pandas/05-Groupby.ipynb b/03-Pandas/05-Groupby.ipynb new file mode 100644 index 0000000..55e34fb --- /dev/null +++ b/03-Pandas/05-Groupby.ipynb @@ -0,0 +1,390 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "collapsed": true + }, + "source": [ + "# Groupby\n", + "\n", + "La méthode de regroupement par groupe vous permet de regrouper des lignes de données et d'appeler des fonctions d'agrégation." + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "import pandas as pd\n", + "# Création dataframe\n", + "data = {'Company':['GOOG','GOOG','MSFT','MSFT','FB','FB'],\n", + " 'Person':['Sam','Charlie','Amy','Vanessa','Carl','Sarah'],\n", + " 'Sales':[200,120,340,124,243,350]}" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "df = pd.DataFrame(data)" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " Company Person Sales\n", + "0 GOOG Sam 200\n", + "1 GOOG Charlie 120\n", + "2 MSFT Amy 340\n", + "3 MSFT Vanessa 124\n", + "4 FB Carl 243\n", + "5 FB Sarah 350" + ], + "text/html": "
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CompanyPersonSales
0GOOGSam200
1GOOGCharlie120
2MSFTAmy340
3MSFTVanessa124
4FBCarl243
5FBSarah350
\n
" + }, + "metadata": {}, + "execution_count": 3 + } + ], + "source": [ + "df" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Maintenant vous pouvez utiliser la méthode .groupby() pour regrouper les lignes en fonction d'un nom de colonne. Par exemple, groupons les personnes par société. Ceci créera un objet DataFrameGroupBy :**" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "" + ] + }, + "metadata": {}, + "execution_count": 4 + } + ], + "source": [ + "df.groupby('Company')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Vous pouvez sauvegarder cet objet comme nouvelle variable :" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "by_comp = df.groupby(\"Company\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Et ensuite, appelez les méthodes d'agrégation sur l'objet :" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " Sales\n", + "Company \n", + "FB 296.5\n", + "GOOG 160.0\n", + "MSFT 232.0" + ], + "text/html": "
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Sales
Company
FB296.5
GOOG160.0
MSFT232.0
\n
" + }, + "metadata": {}, + "execution_count": 6 + } + ], + "source": [ + "by_comp.mean()" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " Sales\n", + "Company \n", + "FB 296.5\n", + "GOOG 160.0\n", + "MSFT 232.0" + ], + "text/html": "
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Sales
Company
FB296.5
GOOG160.0
MSFT232.0
\n
" + }, + "metadata": {}, + "execution_count": 7 + } + ], + "source": [ + "df.groupby('Company').mean()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Autres exemples de méthodes d'agrégation :" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " Sales\n", + "Company \n", + "FB 75.660426\n", + "GOOG 56.568542\n", + "MSFT 152.735065" + ], + "text/html": "
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Sales
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FB75.660426
GOOG56.568542
MSFT152.735065
\n
" + }, + "metadata": {}, + "execution_count": 8 + } + ], + "source": [ + "by_comp.std()" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " Person Sales\n", + "Company \n", + "FB Carl 243\n", + "GOOG Charlie 120\n", + "MSFT Amy 124" + ], + "text/html": "
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PersonSales
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" + }, + "metadata": {}, + "execution_count": 9 + } + ], + "source": [ + "by_comp.min()" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " Person Sales\n", + "Company \n", + "FB Sarah 350\n", + "GOOG Sam 200\n", + "MSFT Vanessa 340" + ], + "text/html": "
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PersonSales
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MSFTVanessa340
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" + }, + "metadata": {}, + "execution_count": 10 + } + ], + "source": [ + "by_comp.max()" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " Person Sales\n", + "Company \n", + "FB 2 2\n", + "GOOG 2 2\n", + "MSFT 2 2" + ], + "text/html": "
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PersonSales
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" + }, + "metadata": {}, + "execution_count": 11 + } + ], + "source": [ + "by_comp.count()" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " Sales \n", + " count mean std min 25% 50% 75% max\n", + "Company \n", + "FB 2.0 296.5 75.660426 243.0 269.75 296.5 323.25 350.0\n", + "GOOG 2.0 160.0 56.568542 120.0 140.00 160.0 180.00 200.0\n", + "MSFT 2.0 232.0 152.735065 124.0 178.00 232.0 286.00 340.0" + ], + "text/html": "
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" + }, + "metadata": {}, + "execution_count": 12 + } + ], + "source": [ + "by_comp.describe()" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "Company FB GOOG MSFT\n", + "Sales count 2.000000 2.000000 2.000000\n", + " mean 296.500000 160.000000 232.000000\n", + " std 75.660426 56.568542 152.735065\n", + " min 243.000000 120.000000 124.000000\n", + " 25% 269.750000 140.000000 178.000000\n", + " 50% 296.500000 160.000000 232.000000\n", + " 75% 323.250000 180.000000 286.000000\n", + " max 350.000000 200.000000 340.000000" + ], + "text/html": "
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" + }, + "metadata": {}, + "execution_count": 13 + } + ], + "source": [ + "by_comp.describe().transpose()" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "Sales count 2.000000\n", + " mean 160.000000\n", + " std 56.568542\n", + " min 120.000000\n", + " 25% 140.000000\n", + " 50% 160.000000\n", + " 75% 180.000000\n", + " max 200.000000\n", + "Name: GOOG, dtype: float64" + ] + }, + "metadata": {}, + "execution_count": 14 + } + ], + "source": [ + "by_comp.describe().transpose()['GOOG']" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Bon travail!" + ] + } + ], + "metadata": { + "kernelspec": { + "name": "python3", + "display_name": "Python 3.7.9 64-bit ('pyfinance': conda)", + "metadata": { + "interpreter": { + "hash": "e89404a230d8800c54ad520c7b67d1bd9bb833a07b37dd3e521a178a3dc34904" + } + } + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.7.9-final" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} \ No newline at end of file diff --git a/03-Pandas/06-Merge-Join-et-Concat.ipynb b/03-Pandas/06-Merge-Join-et-Concat.ipynb new file mode 100644 index 0000000..2209078 --- /dev/null +++ b/03-Pandas/06-Merge-Join-et-Concat.ipynb @@ -0,0 +1,576 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "collapsed": true + }, + "source": [ + "# Fusionner, Joindre et Concaténer\n", + "\n", + "Il y a 3 façons principales de combiner des DataFrames ensemble : Fusion, assemblage et concaténation. Dans ce notebook, nous discuterons de ces 3 méthodes avec des exemples.\n", + "\n", + "____" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Exemple DataFrames" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "import pandas as pd" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "df1 = pd.DataFrame({'A': ['A0', 'A1', 'A2', 'A3'],\n", + " 'B': ['B0', 'B1', 'B2', 'B3'],\n", + " 'C': ['C0', 'C1', 'C2', 'C3'],\n", + " 'D': ['D0', 'D1', 'D2', 'D3']},\n", + " index=[0, 1, 2, 3])" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "df2 = pd.DataFrame({'A': ['A4', 'A5', 'A6', 'A7'],\n", + " 'B': ['B4', 'B5', 'B6', 'B7'],\n", + " 'C': ['C4', 'C5', 'C6', 'C7'],\n", + " 'D': ['D4', 'D5', 'D6', 'D7']},\n", + " index=[4, 5, 6, 7]) " + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "df3 = pd.DataFrame({'A': ['A8', 'A9', 'A10', 'A11'],\n", + " 'B': ['B8', 'B9', 'B10', 'B11'],\n", + " 'C': ['C8', 'C9', 'C10', 'C11'],\n", + " 'D': ['D8', 'D9', 'D10', 'D11']},\n", + " index=[8, 9, 10, 11])" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " A B C D\n", + "0 A0 B0 C0 D0\n", + "1 A1 B1 C1 D1\n", + "2 A2 B2 C2 D2\n", + "3 A3 B3 C3 D3" + ], + "text/html": "
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" + }, + "metadata": {}, + "execution_count": 7 + } + ], + "source": [ + "df3" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Concaténation\n", + "\n", + "La concaténation colle fondamentalement les DataFrames ensemble. Gardez à l'esprit que les dimensions doivent correspondre à l'axe sur lequel vous concaténez. Vous pouvez utiliser **pd.concat** et passer dans une liste de DataFrames à concaténer ensemble :" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " A B C D\n", + "0 A0 B0 C0 D0\n", + "1 A1 B1 C1 D1\n", + "2 A2 B2 C2 D2\n", + "3 A3 B3 C3 D3\n", + "4 A4 B4 C4 D4\n", + "5 A5 B5 C5 D5\n", + "6 A6 B6 C6 D6\n", + "7 A7 B7 C7 D7\n", + "8 A8 B8 C8 D8\n", + "9 A9 B9 C9 D9\n", + "10 A10 B10 C10 D10\n", + "11 A11 B11 C11 D11" + ], + "text/html": "
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" + }, + "metadata": {}, + "execution_count": 8 + } + ], + "source": [ + "pd.concat([df1,df2,df3])" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " A B C D A B C D A B C D\n", + "0 A0 B0 C0 D0 NaN NaN NaN NaN NaN NaN NaN NaN\n", + "1 A1 B1 C1 D1 NaN NaN NaN NaN NaN NaN NaN NaN\n", + "2 A2 B2 C2 D2 NaN NaN NaN NaN NaN NaN NaN NaN\n", + "3 A3 B3 C3 D3 NaN NaN NaN NaN NaN NaN NaN NaN\n", + "4 NaN NaN NaN NaN A4 B4 C4 D4 NaN NaN NaN NaN\n", + "5 NaN NaN NaN NaN A5 B5 C5 D5 NaN NaN NaN NaN\n", + "6 NaN NaN NaN NaN A6 B6 C6 D6 NaN NaN NaN NaN\n", + "7 NaN NaN NaN NaN A7 B7 C7 D7 NaN NaN NaN NaN\n", + "8 NaN NaN NaN NaN NaN NaN NaN NaN A8 B8 C8 D8\n", + "9 NaN NaN NaN NaN NaN NaN NaN NaN A9 B9 C9 D9\n", + "10 NaN NaN NaN NaN NaN NaN NaN NaN A10 B10 C10 D10\n", + "11 NaN NaN NaN NaN NaN NaN NaN NaN A11 B11 C11 D11" + ], + "text/html": "
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ABCDABCDABCD
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" + }, + "metadata": {}, + "execution_count": 9 + } + ], + "source": [ + "pd.concat([df1,df2,df3],axis=1)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "_____\n", + "## Exemple DataFrames" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "left = pd.DataFrame({'key': ['K0', 'K1', 'K2', 'K3'],\n", + " 'A': ['A0', 'A1', 'A2', 'A3'],\n", + " 'B': ['B0', 'B1', 'B2', 'B3']})\n", + " \n", + "right = pd.DataFrame({'key': ['K0', 'K1', 'K2', 'K3'],\n", + " 'C': ['C0', 'C1', 'C2', 'C3'],\n", + " 'D': ['D0', 'D1', 'D2', 'D3']}) " + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " key A B\n", + "0 K0 A0 B0\n", + "1 K1 A1 B1\n", + "2 K2 A2 B2\n", + "3 K3 A3 B3" + ], + "text/html": "
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\n\n\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n
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" + }, + "metadata": {}, + "execution_count": 12 + } + ], + "source": [ + "right" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "___" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Fusion\n", + "\n", + "La fonction **merge** vous permet de fusionner des DataFrames ensemble en utilisant une logique similaire à celle de la fusion de Tables SQL. Par exemple :" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " key A B C D\n", + "0 K0 A0 B0 C0 D0\n", + "1 K1 A1 B1 C1 D1\n", + "2 K2 A2 B2 C2 D2\n", + "3 K3 A3 B3 C3 D3" + ], + "text/html": "
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keyABCD
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" + }, + "metadata": {}, + "execution_count": 13 + } + ], + "source": [ + "pd.merge(left,right,how='inner',on='key')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Exemple plus compliqué :" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "left = pd.DataFrame({'key1': ['K0', 'K0', 'K1', 'K2'],\n", + " 'key2': ['K0', 'K1', 'K0', 'K1'],\n", + " 'A': ['A0', 'A1', 'A2', 'A3'],\n", + " 'B': ['B0', 'B1', 'B2', 'B3']})\n", + " \n", + "right = pd.DataFrame({'key1': ['K0', 'K1', 'K1', 'K2'],\n", + " 'key2': ['K0', 'K0', 'K0', 'K0'],\n", + " 'C': ['C0', 'C1', 'C2', 'C3'],\n", + " 'D': ['D0', 'D1', 'D2', 'D3']})" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " key1 key2 A B C D\n", + "0 K0 K0 A0 B0 C0 D0\n", + "1 K1 K0 A2 B2 C1 D1\n", + "2 K1 K0 A2 B2 C2 D2" + ], + "text/html": "
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" + }, + "metadata": {}, + "execution_count": 15 + } + ], + "source": [ + "pd.merge(left, right, on=['key1', 'key2'])" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " key1 key2 A B C D\n", + "0 K0 K0 A0 B0 C0 D0\n", + "1 K0 K1 A1 B1 NaN NaN\n", + "2 K1 K0 A2 B2 C1 D1\n", + "3 K1 K0 A2 B2 C2 D2\n", + "4 K2 K1 A3 B3 NaN NaN\n", + "5 K2 K0 NaN NaN C3 D3" + ], + "text/html": "
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key1key2ABCD
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" + }, + "metadata": {}, + "execution_count": 16 + } + ], + "source": [ + "pd.merge(left, right, how='outer', on=['key1', 'key2'])" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " key1 key2 A B C D\n", + "0 K0 K0 A0 B0 C0 D0\n", + "1 K1 K0 A2 B2 C1 D1\n", + "2 K1 K0 A2 B2 C2 D2\n", + "3 K2 K0 NaN NaN C3 D3" + ], + "text/html": "
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key1key2ABCD
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" + }, + "metadata": {}, + "execution_count": 17 + } + ], + "source": [ + "pd.merge(left, right, how='right', on=['key1', 'key2'])" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " key1 key2 A B C D\n", + "0 K0 K0 A0 B0 C0 D0\n", + "1 K0 K1 A1 B1 NaN NaN\n", + "2 K1 K0 A2 B2 C1 D1\n", + "3 K1 K0 A2 B2 C2 D2\n", + "4 K2 K1 A3 B3 NaN NaN" + ], + "text/html": "
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key1key2ABCD
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" + }, + "metadata": {}, + "execution_count": 18 + } + ], + "source": [ + "pd.merge(left, right, how='left', on=['key1', 'key2'])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Assemblage\n", + "Join est une méthode pratique pour combiner les colonnes de deux DataFrames potentiellement indexées différemment résultant en un seul DataFrame." + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "left = pd.DataFrame({'A': ['A0', 'A1', 'A2'],\n", + " 'B': ['B0', 'B1', 'B2']},\n", + " index=['K0', 'K1', 'K2']) \n", + "\n", + "right = pd.DataFrame({'C': ['C0', 'C2', 'C3'],\n", + " 'D': ['D0', 'D2', 'D3']},\n", + " index=['K0', 'K2', 'K3'])" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " A B C D\n", + "K0 A0 B0 C0 D0\n", + "K1 A1 B1 NaN NaN\n", + "K2 A2 B2 C2 D2" + ], + "text/html": "
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ABCD
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" + }, + "metadata": {}, + "execution_count": 20 + } + ], + "source": [ + "left.join(right)" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " A B C D\n", + "K0 A0 B0 C0 D0\n", + "K1 A1 B1 NaN NaN\n", + "K2 A2 B2 C2 D2\n", + "K3 NaN NaN C3 D3" + ], + "text/html": "
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K3NaNNaNC3D3
\n
" + }, + "metadata": {}, + "execution_count": 21 + } + ], + "source": [ + "left.join(right, how='outer')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Bon travail!" + ] + } + ], + "metadata": { + "kernelspec": { + "name": "python3", + "display_name": "Python 3.7.9 64-bit ('pyfinance': conda)", + "metadata": { + "interpreter": { + "hash": "e89404a230d8800c54ad520c7b67d1bd9bb833a07b37dd3e521a178a3dc34904" + } + } + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.7.9-final" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} \ No newline at end of file diff --git a/03-Pandas/07-Operations.ipynb b/03-Pandas/07-Operations.ipynb new file mode 100644 index 0000000..59b50e4 --- /dev/null +++ b/03-Pandas/07-Operations.ipynb @@ -0,0 +1,614 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "collapsed": true + }, + "source": [ + "# Opérations\n", + "\n", + "Il y a beaucoup d'opérations avec pandas qui vous seront vraiment utiles, mais elles n'entraient dans aucune case. Montrons-les ici dans ce notebook:" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " col1 col2 col3\n", + "0 1 444 abc\n", + "1 2 555 def\n", + "2 3 666 ghi\n", + "3 4 444 xyz" + ], + "text/html": "
\n\n\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n
col1col2col3
01444abc
12555def
23666ghi
34444xyz
\n
" + }, + "metadata": {}, + "execution_count": 1 + } + ], + "source": [ + "import pandas as pd\n", + "df = pd.DataFrame({'col1':[1,2,3,4],'col2':[444,555,666,444],'col3':['abc','def','ghi','xyz']})\n", + "df.head()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Informations sur les valeurs uniques" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "array([444, 555, 666], dtype=int64)" + ] + }, + "metadata": {}, + "execution_count": 2 + } + ], + "source": [ + "df['col2'].unique()" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "3" + ] + }, + "metadata": {}, + "execution_count": 3 + } + ], + "source": [ + "df['col2'].nunique()" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "444 2\n", + "555 1\n", + "666 1\n", + "Name: col2, dtype: int64" + ] + }, + "metadata": {}, + "execution_count": 4 + } + ], + "source": [ + "df['col2'].value_counts()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Sélection des données" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [], + "source": [ + "# Sélection à partir d'un DataFrame en utilisant des critères \n", + "# de plusieurs colonnes\n", + "newdf = df[(df['col1']>2) & (df['col2']==444)]" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " col1 col2 col3\n", + "3 4 444 xyz" + ], + "text/html": "
\n\n\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n
col1col2col3
34444xyz
\n
" + }, + "metadata": {}, + "execution_count": 6 + } + ], + "source": [ + "newdf" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Appliquer des Fonctions" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "def times2(x):\n", + " return x*2" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "0 2\n", + "1 4\n", + "2 6\n", + "3 8\n", + "Name: col1, dtype: int64" + ] + }, + "metadata": {}, + "execution_count": 8 + } + ], + "source": [ + "df['col1'].apply(times2)" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "0 3\n", + "1 3\n", + "2 3\n", + "3 3\n", + "Name: col3, dtype: int64" + ] + }, + "metadata": {}, + "execution_count": 9 + } + ], + "source": [ + "df['col3'].apply(len)" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "10" + ] + }, + "metadata": {}, + "execution_count": 10 + } + ], + "source": [ + "df['col1'].sum()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Suppression définitive d'une colonne**" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [], + "source": [ + "del df['col1']" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " col2 col3\n", + "0 444 abc\n", + "1 555 def\n", + "2 666 ghi\n", + "3 444 xyz" + ], + "text/html": "
\n\n\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n
col2col3
0444abc
1555def
2666ghi
3444xyz
\n
" + }, + "metadata": {}, + "execution_count": 12 + } + ], + "source": [ + "df" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Obtenir les noms des colonnes et des index :**" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "Index(['col2', 'col3'], dtype='object')" + ] + }, + "metadata": {}, + "execution_count": 13 + } + ], + "source": [ + "df.columns" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "RangeIndex(start=0, stop=4, step=1)" + ] + }, + "metadata": {}, + "execution_count": 14 + } + ], + "source": [ + "df.index" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Trier un DataFrame :**" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " col2 col3\n", + "0 444 abc\n", + "1 555 def\n", + "2 666 ghi\n", + "3 444 xyz" + ], + "text/html": "
\n\n\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n
col2col3
0444abc
1555def
2666ghi
3444xyz
\n
" + }, + "metadata": {}, + "execution_count": 15 + } + ], + "source": [ + "df" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " col2 col3\n", + "0 444 abc\n", + "3 444 xyz\n", + "1 555 def\n", + "2 666 ghi" + ], + "text/html": "
\n\n\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n
col2col3
0444abc
3444xyz
1555def
2666ghi
\n
" + }, + "metadata": {}, + "execution_count": 16 + } + ], + "source": [ + "df.sort_values(by='col2') #inplace=False par défaut" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Recherche de valeurs nulles ou vérification des valeurs nulles**" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " col2 col3\n", + "0 False False\n", + "1 False False\n", + "2 False False\n", + "3 False False" + ], + "text/html": "
\n\n\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n
col2col3
0FalseFalse
1FalseFalse
2FalseFalse
3FalseFalse
\n
" + }, + "metadata": {}, + "execution_count": 17 + } + ], + "source": [ + "df.isnull()" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " col2 col3\n", + "0 444 abc\n", + "1 555 def\n", + "2 666 ghi\n", + "3 444 xyz" + ], + "text/html": "
\n\n\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n
col2col3
0444abc
1555def
2666ghi
3444xyz
\n
" + }, + "metadata": {}, + "execution_count": 18 + } + ], + "source": [ + "# Supprimer les lignes contenant des valeurs NaN\n", + "df.dropna()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Remplir les valeurs NaN avec autre chose :**" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "import numpy as np" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " col1 col2 col3\n", + "0 1.0 NaN abc\n", + "1 2.0 555.0 def\n", + "2 3.0 666.0 ghi\n", + "3 NaN 444.0 xyz" + ], + "text/html": "
\n\n\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n
col1col2col3
01.0NaNabc
12.0555.0def
23.0666.0ghi
3NaN444.0xyz
\n
" + }, + "metadata": {}, + "execution_count": 20 + } + ], + "source": [ + "df = pd.DataFrame({'col1':[1,2,3,np.nan],\n", + " 'col2':[np.nan,555,666,444],\n", + " 'col3':['abc','def','ghi','xyz']})\n", + "df.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " col1 col2 col3\n", + "0 1 FILL abc\n", + "1 2 555 def\n", + "2 3 666 ghi\n", + "3 FILL 444 xyz" + ], + "text/html": "
\n\n\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n
col1col2col3
01FILLabc
12555def
23666ghi
3FILL444xyz
\n
" + }, + "metadata": {}, + "execution_count": 21 + } + ], + "source": [ + "df.fillna('FILL')" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "data = {'A':['foo','foo','foo','bar','bar','bar'],\n", + " 'B':['one','one','two','two','one','one'],\n", + " 'C':['x','y','x','y','x','y'],\n", + " 'D':[1,3,2,5,4,1]}\n", + "\n", + "df = pd.DataFrame(data)" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " A B C D\n", + "0 foo one x 1\n", + "1 foo one y 3\n", + "2 foo two x 2\n", + "3 bar two y 5\n", + "4 bar one x 4\n", + "5 bar one y 1" + ], + "text/html": "
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ABCD
0fooonex1
1foooney3
2footwox2
3bartwoy5
4baronex4
5baroney1
\n
" + }, + "metadata": {}, + "execution_count": 23 + } + ], + "source": [ + "df" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "C x y\n", + "A B \n", + "bar one 4.0 1.0\n", + " two NaN 5.0\n", + "foo one 1.0 3.0\n", + " two 2.0 NaN" + ], + "text/html": "
\n\n\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n
Cxy
AB
barone4.01.0
twoNaN5.0
fooone1.03.0
two2.0NaN
\n
" + }, + "metadata": {}, + "execution_count": 24 + } + ], + "source": [ + "df.pivot_table(values='D',index=['A', 'B'],columns=['C'])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Bon travail!" + ] + } + ], + "metadata": { + "kernelspec": { + "name": "python3", + "display_name": "Python 3.7.9 64-bit ('pyfinance': conda)", + "metadata": { + "interpreter": { + "hash": "e89404a230d8800c54ad520c7b67d1bd9bb833a07b37dd3e521a178a3dc34904" + } + } + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.7.9-final" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} \ No newline at end of file diff --git a/03-Pandas/08-Data-Input-et-Output.ipynb b/03-Pandas/08-Data-Input-et-Output.ipynb new file mode 100644 index 0000000..3e442ad --- /dev/null +++ b/03-Pandas/08-Data-Input-et-Output.ipynb @@ -0,0 +1,261 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Nous nous contenterons soit de lire les fichiers csv directement, soit d'utiliser pandas-datareader ou quandl. Considérez ce notebook comme un bref aperçu de ce qui est possible de faire avec pandas (nous ne travaillerons pas avec des fichiers SQL ou excel dans ce cours).**" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Data Input et Output\n", + "\n", + "Ce notebook est le code de référence pour obtenir des entrées et des sorties, pandas peut lire une variété de types de fichiers en utilisant ses méthodes pd.read_. Jetons un coup d'oeil aux types de données les plus courants:" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import pandas as pd" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## CSV\n", + "\n", + "### CSV Input" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " a b c d\n", + "0 0 1 2 3\n", + "1 4 5 6 7\n", + "2 8 9 10 11\n", + "3 12 13 14 15" + ], + "text/html": "
\n\n\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n
abcd
00123
14567
2891011
312131415
\n
" + }, + "metadata": {}, + "execution_count": 2 + } + ], + "source": [ + "df = pd.read_csv('example.csv')\n", + "df" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### CSV Output" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "df.to_csv('example',index=False)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Excel\n", + "Pandas peut lire et écrire des fichiers excel, gardez à l'esprit que ceci n'importe que des données. Pas de formules ni d'images, le fait d'avoir des images ou des macros peut provoquer le crash de cette méthode read_excel. " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Excel Input" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " Unnamed: 0 a b c d\n", + "0 0 0 1 2 3\n", + "1 1 4 5 6 7\n", + "2 2 8 9 10 11\n", + "3 3 12 13 14 15" + ], + "text/html": "
\n\n\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n
Unnamed: 0abcd
000123
114567
22891011
3312131415
\n
" + }, + "metadata": {}, + "execution_count": 4 + } + ], + "source": [ + "pd.read_excel('Excel_Sample.xlsx',sheet_name='Sheet1')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Excel Output" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [], + "source": [ + "df.to_excel('Excel_Sample.xlsx',sheet_name='Sheet1')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## HTML\n", + "\n", + "Vous aurez besoin d'installer htmllib5, lxml et BeautifulSoup4. Dans votre terminal/command prompt tapez:\n", + "\n", + " conda install lxml\n", + " conda install html5lib\n", + " conda install BeautifulSoup4\n", + "\n", + "Puis redémarrez Jupyter Notebook.\n", + "(ou utilisez pip install si vous n'utilisez pas la distribution Anaconda)\n", + "\n", + "Pandas peut lire du HTML. Par exemple:" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### HTML Input\n", + "\n", + "La fonction pandas read_html lit les balises table d'une page web et retourne une liste d'objets DataFrame:" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "df = pd.read_html('http://www.fdic.gov/bank/individual/failed/banklist.html')" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " Bank Name City ST CERT \\\n", + "0 Almena State Bank Almena KS 15426 \n", + "1 First City Bank of Florida Fort Walton Beach FL 16748 \n", + "2 The First State Bank Barboursville WV 14361 \n", + "3 Ericson State Bank Ericson NE 18265 \n", + "4 City National Bank of New Jersey Newark NJ 21111 \n", + ".. ... ... .. ... \n", + "558 Superior Bank, FSB Hinsdale IL 32646 \n", + "559 Malta National Bank Malta OH 6629 \n", + "560 First Alliance Bank & Trust Co. Manchester NH 34264 \n", + "561 National State Bank of Metropolis Metropolis IL 3815 \n", + "562 Bank of Honolulu Honolulu HI 21029 \n", + "\n", + " Acquiring Institution Closing Date \n", + "0 Equity Bank October 23, 2020 \n", + "1 United Fidelity Bank, fsb October 16, 2020 \n", + "2 MVB Bank, Inc. April 3, 2020 \n", + "3 Farmers and Merchants Bank February 14, 2020 \n", + "4 Industrial Bank November 1, 2019 \n", + ".. ... ... \n", + "558 Superior Federal, FSB July 27, 2001 \n", + "559 North Valley Bank May 3, 2001 \n", + "560 Southern New Hampshire Bank & Trust February 2, 2001 \n", + "561 Banterra Bank of Marion December 14, 2000 \n", + "562 Bank of the Orient October 13, 2000 \n", + "\n", + "[563 rows x 6 columns]" + ], + "text/html": "
\n\n\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n
Bank NameCitySTCERTAcquiring InstitutionClosing Date
0Almena State BankAlmenaKS15426Equity BankOctober 23, 2020
1First City Bank of FloridaFort Walton BeachFL16748United Fidelity Bank, fsbOctober 16, 2020
2The First State BankBarboursvilleWV14361MVB Bank, Inc.April 3, 2020
3Ericson State BankEricsonNE18265Farmers and Merchants BankFebruary 14, 2020
4City National Bank of New JerseyNewarkNJ21111Industrial BankNovember 1, 2019
.....................
558Superior Bank, FSBHinsdaleIL32646Superior Federal, FSBJuly 27, 2001
559Malta National BankMaltaOH6629North Valley BankMay 3, 2001
560First Alliance Bank & Trust Co.ManchesterNH34264Southern New Hampshire Bank & TrustFebruary 2, 2001
561National State Bank of MetropolisMetropolisIL3815Banterra Bank of MarionDecember 14, 2000
562Bank of HonoluluHonoluluHI21029Bank of the OrientOctober 13, 2000
\n

563 rows × 6 columns

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" + }, + "metadata": {}, + "execution_count": 7 + } + ], + "source": [ + "df[0]" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": true + }, + "source": [ + "____" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Bon travail!" + ] + } + ], + "metadata": { + "kernelspec": { + "name": "python3", + "display_name": "Python 3.7.9 64-bit ('pyfinance': conda)", + "metadata": { + "interpreter": { + "hash": "e89404a230d8800c54ad520c7b67d1bd9bb833a07b37dd3e521a178a3dc34904" + } + } + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.7.9-final" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} \ No newline at end of file diff --git a/03-Pandas/Excel_Sample.xlsx b/03-Pandas/Excel_Sample.xlsx new file mode 100644 index 0000000..4ac018b Binary files /dev/null and b/03-Pandas/Excel_Sample.xlsx differ diff --git a/03-Pandas/Excel_Sample2.xlsx b/03-Pandas/Excel_Sample2.xlsx new file mode 100644 index 0000000..16c0154 Binary files /dev/null and b/03-Pandas/Excel_Sample2.xlsx differ diff --git a/03-Pandas/My_output b/03-Pandas/My_output new file mode 100644 index 0000000..d5ae3e8 --- /dev/null +++ b/03-Pandas/My_output @@ -0,0 +1,5 @@ +a,b,c,d +0,1,2,3 +4,5,6,7 +8,9,10,11 +12,13,14,15 diff --git a/03-Pandas/Pandas-Exercices/.ipynb_checkpoints/Pandas Exercices - SOLUTIONS-checkpoint.ipynb b/03-Pandas/Pandas-Exercices/.ipynb_checkpoints/Pandas Exercices - SOLUTIONS-checkpoint.ipynb new file mode 100644 index 0000000..d75c7ac --- /dev/null +++ b/03-Pandas/Pandas-Exercices/.ipynb_checkpoints/Pandas Exercices - SOLUTIONS-checkpoint.ipynb @@ -0,0 +1,780 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Pandas Exercices" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Il est temps de tester vos nouvelles compétences en pandas ! Utilisez le fichier csv de ce dossier pour effectuer les tâches en gras ci-dessous!\n", + "\n", + "#### NOTE : TOUTES LES TÂCHES DOIVENT ÊTRE EFFECTUÉES SUR UNE SEULE LIGNE AVEC DU CODE PANDAS. BLOQUé(e) ? PAS DE PROBLÈME ! CONSULTEZ LE NOTEBOOK AVEC LES SOLUTIONS ! " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### Importer pandas et lire le fichier banklist.csv dans un dataframe nommé banks. " + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import pandas as pd" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "banks = pd.read_csv('banklist.csv')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### Afficher les 5 premières lignes du dataframe" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# CODE ICI" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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Bank NameCitySTCERTAcquiring InstitutionClosing DateUpdated Date
0Fayette County BankSaint ElmoIL1802United Fidelity Bank, fsb26-May-171-Jun-17
1Guaranty Bank, (d/b/a BestBank in Georgia & Mi...MilwaukeeWI30003First-Citizens Bank & Trust Company5-May-171-Jun-17
2First NBC BankNew OrleansLA58302Whitney Bank28-Apr-1723-May-17
3Proficio BankCottonwood HeightsUT35495Cache Valley Bank3-Mar-1718-May-17
4Seaway Bank and Trust CompanyChicagoIL19328State Bank of Texas27-Jan-1718-May-17
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" + ], + "text/plain": [ + " Bank Name City ST \\\n", + "0 Fayette County Bank Saint Elmo IL \n", + "1 Guaranty Bank, (d/b/a BestBank in Georgia & Mi... Milwaukee WI \n", + "2 First NBC Bank New Orleans LA \n", + "3 Proficio Bank Cottonwood Heights UT \n", + "4 Seaway Bank and Trust Company Chicago IL \n", + "\n", + " CERT Acquiring Institution Closing Date Updated Date \n", + "0 1802 United Fidelity Bank, fsb 26-May-17 1-Jun-17 \n", + "1 30003 First-Citizens Bank & Trust Company 5-May-17 1-Jun-17 \n", + "2 58302 Whitney Bank 28-Apr-17 23-May-17 \n", + "3 35495 Cache Valley Bank 3-Mar-17 18-May-17 \n", + "4 19328 State Bank of Texas 27-Jan-17 18-May-17 " + ] + }, + "execution_count": 37, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### Quels sont les noms de colonne?" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# CODE ICI" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Index(['Bank Name', 'City', 'ST', 'CERT', 'Acquiring Institution',\n", + " 'Closing Date', 'Updated Date'],\n", + " dtype='object')" + ] + }, + "execution_count": 29, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### Combien d'états (ST) sont représentés dans cet ensemble de données?" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# CODE ICI" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "44" + ] + }, + "execution_count": 33, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### Obtenir une liste ou tableau de tous les états du dataset." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# CODE ICI" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array(['IL', 'WI', 'LA', 'UT', 'NJ', 'AR', 'GA', 'PA', 'TN', 'WA', 'CO',\n", + " 'PR', 'FL', 'MN', 'CA', 'MD', 'OK', 'OH', 'SC', 'VA', 'ID', 'TX',\n", + " 'CT', 'AZ', 'NV', 'NC', 'KY', 'MO', 'KS', 'AL', 'MI', 'IN', 'IA',\n", + " 'NE', 'MS', 'NM', 'OR', 'NY', 'MA', 'SD', 'WY', 'WV', 'NH', 'HI'], dtype=object)" + ] + }, + "execution_count": 32, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### Quels sont les 5 états avec le plus de banques en faillite?" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true, + "scrolled": true + }, + "outputs": [], + "source": [ + "# CODE ICI" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "ST\n", + "GA 93\n", + "FL 75\n", + "IL 67\n", + "CA 41\n", + "MN 23\n", + "Name: Bank Name, dtype: int64" + ] + }, + "execution_count": 35, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### Quels sont les 5 principaux établissements acquéreurs?" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# CODE ICI" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "No Acquirer 31\n", + "State Bank and Trust Company 12\n", + "First-Citizens Bank & Trust Company 11\n", + "Ameris Bank 10\n", + "U.S. Bank N.A. 9\n", + "Name: Acquiring Institution, dtype: int64" + ] + }, + "execution_count": 14, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### Combien de banques State Bank of Texas a-t-elle acquises ? Combien d'entre elles étaient au Texas ?" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# CODE ICI" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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Bank NameCitySTCERTAcquiring InstitutionClosing DateUpdated Date
4Seaway Bank and Trust CompanyChicagoIL19328State Bank of Texas27-Jan-1718-May-17
21The National Republic Bank of ChicagoChicagoIL916State Bank of Texas24-Oct-146-Jan-16
450Millennium State Bank of TexasDallasTX57667State Bank of Texas2-Jul-0926-Oct-12
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" + ], + "text/plain": [ + " Bank Name City ST CERT \\\n", + "4 Seaway Bank and Trust Company Chicago IL 19328 \n", + "21 The National Republic Bank of Chicago Chicago IL 916 \n", + "450 Millennium State Bank of Texas Dallas TX 57667 \n", + "\n", + " Acquiring Institution Closing Date Updated Date \n", + "4 State Bank of Texas 27-Jan-17 18-May-17 \n", + "21 State Bank of Texas 24-Oct-14 6-Jan-16 \n", + "450 State Bank of Texas 2-Jul-09 26-Oct-12 " + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### Quelle est la ville la plus fréquente en Californie pour qu'une banque fasse faillite ?" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# CODE ICI" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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Bank NameSTCERTAcquiring InstitutionClosing DateUpdated Date
City
Los Angeles444444
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" + ], + "text/plain": [ + " Bank Name ST CERT Acquiring Institution Closing Date \\\n", + "City \n", + "Los Angeles 4 4 4 4 4 \n", + "\n", + " Updated Date \n", + "City \n", + "Los Angeles 4 " + ] + }, + "execution_count": 24, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### Combien de banques en faillite n'ont pas le mot \"Bank\" dans leur nom?" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# CODE ICI" + ] + }, + { + "cell_type": "code", + "execution_count": 55, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "14" + ] + }, + "execution_count": 55, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### Combien de noms de banques commencent par la lettre 's' ?" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# CODE ICI" + ] + }, + { + "cell_type": "code", + "execution_count": 58, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "53" + ] + }, + "execution_count": 58, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### Combien de valeurs CERT sont supérieures à 20000 ?" + ] + }, + { + "cell_type": "code", + "execution_count": 61, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# CODE ICI" + ] + }, + { + "cell_type": "code", + "execution_count": 64, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "417" + ] + }, + "execution_count": 64, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### Combien de noms de banques se composent de seulement deux mots ? (par exemple \"First Bank\" et \"Bank Georgia\")" + ] + }, + { + "cell_type": "code", + "execution_count": 65, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# CODE ICI" + ] + }, + { + "cell_type": "code", + "execution_count": 67, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "114" + ] + }, + "execution_count": 67, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Bonus: Combien de banques ont fermé en 2008 ? (c'est difficile parce que techniquement nous n'avons pas encore vu les séries temporelles avec pandas ! N'hésitez pas à passer !" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# CODE ICI" + ] + }, + { + "cell_type": "code", + "execution_count": 54, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "25" + ] + }, + "execution_count": 54, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Bon travail!" + ] + } + ], + "metadata": { + "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": "3.7.5" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/03-Pandas/Pandas-Exercices/.ipynb_checkpoints/Pandas Exercices-checkpoint.ipynb b/03-Pandas/Pandas-Exercices/.ipynb_checkpoints/Pandas Exercices-checkpoint.ipynb new file mode 100644 index 0000000..b284801 --- /dev/null +++ b/03-Pandas/Pandas-Exercices/.ipynb_checkpoints/Pandas Exercices-checkpoint.ipynb @@ -0,0 +1,787 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Pandas Exercices - Solutions" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Il est temps de tester vos nouvelles compétences en pandas ! Utilisez le fichier csv de ce dossier pour effectuer les tâches en gras ci-dessous!\n", + "\n", + "#### NOTE : TOUTES LES TÂCHES DOIVENT ÊTRE EFFECTUÉES SUR UNE SEULE LIGNE AVEC DU CODE PANDAS. BLOQUé(e) ? PAS DE PROBLÈME ! CONSULTEZ LE NOTEBOOK AVEC LES SOLUTIONS ! " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### Importer pandas et lire le fichier banklist.csv dans un dataframe nommé banks. " + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import pandas as pd" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "banks = pd.read_csv('banklist.csv')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### Afficher les 5 premières lignes du dataframe" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "# CODE ICI" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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Bank NameCitySTCERTAcquiring InstitutionClosing DateUpdated Date
0Fayette County BankSaint ElmoIL1802United Fidelity Bank, fsb26-May-171-Jun-17
1Guaranty Bank, (d/b/a BestBank in Georgia & Mi...MilwaukeeWI30003First-Citizens Bank & Trust Company5-May-171-Jun-17
2First NBC BankNew OrleansLA58302Whitney Bank28-Apr-1723-May-17
3Proficio BankCottonwood HeightsUT35495Cache Valley Bank3-Mar-1718-May-17
4Seaway Bank and Trust CompanyChicagoIL19328State Bank of Texas27-Jan-1718-May-17
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" + ], + "text/plain": [ + " Bank Name City ST \\\n", + "0 Fayette County Bank Saint Elmo IL \n", + "1 Guaranty Bank, (d/b/a BestBank in Georgia & Mi... Milwaukee WI \n", + "2 First NBC Bank New Orleans LA \n", + "3 Proficio Bank Cottonwood Heights UT \n", + "4 Seaway Bank and Trust Company Chicago IL \n", + "\n", + " CERT Acquiring Institution Closing Date Updated Date \n", + "0 1802 United Fidelity Bank, fsb 26-May-17 1-Jun-17 \n", + "1 30003 First-Citizens Bank & Trust Company 5-May-17 1-Jun-17 \n", + "2 58302 Whitney Bank 28-Apr-17 23-May-17 \n", + "3 35495 Cache Valley Bank 3-Mar-17 18-May-17 \n", + "4 19328 State Bank of Texas 27-Jan-17 18-May-17 " + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "banks.head()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### Quels sont les noms de colonne?" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [], + "source": [ + "# CODE ICI" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Index(['Bank Name', 'City', 'ST', 'CERT', 'Acquiring Institution',\n", + " 'Closing Date', 'Updated Date'],\n", + " dtype='object')" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "banks.columns" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### Combien d'états (ST) sont représentés dans cet ensemble de données?" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "# CODE ICI" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "44" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "banks['ST'].nunique()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### Obtenir une liste ou tableau de tous les états du dataset." + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [], + "source": [ + "# CODE ICI" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array(['IL', 'WI', 'LA', 'UT', 'NJ', 'AR', 'GA', 'PA', 'TN', 'WA', 'CO',\n", + " 'PR', 'FL', 'MN', 'CA', 'MD', 'OK', 'OH', 'SC', 'VA', 'ID', 'TX',\n", + " 'CT', 'AZ', 'NV', 'NC', 'KY', 'MO', 'KS', 'AL', 'MI', 'IN', 'IA',\n", + " 'NE', 'MS', 'NM', 'OR', 'NY', 'MA', 'SD', 'WY', 'WV', 'NH', 'HI'],\n", + " dtype=object)" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "banks['ST'].unique()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### Quels sont les 5 états avec le plus de banques en faillite?" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "scrolled": true + }, + "outputs": [], + "source": [ + "# CODE ICI" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "ST\n", + "GA 93\n", + "FL 75\n", + "IL 67\n", + "CA 41\n", + "MN 23\n", + "Name: Bank Name, dtype: int64" + ] + }, + "execution_count": 12, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "banks.groupby(\"ST\").count().sort_values('Bank Name',ascending=False).iloc[:5]['Bank Name']" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### Quels sont les 5 principaux établissements acquéreurs?" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [], + "source": [ + "# CODE ICI" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "No Acquirer 31\n", + "State Bank and Trust Company 12\n", + "First-Citizens Bank & Trust Company 11\n", + "Ameris Bank 10\n", + "U.S. Bank N.A. 9\n", + "Name: Acquiring Institution, dtype: int64" + ] + }, + "execution_count": 14, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "banks['Acquiring Institution'].value_counts().iloc[:5]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### Combien de banques State Bank of Texas a-t-elle acquises ? Combien d'entre elles étaient au Texas ?" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [], + "source": [ + "# CODE ICI" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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Bank NameCitySTCERTAcquiring InstitutionClosing DateUpdated Date
4Seaway Bank and Trust CompanyChicagoIL19328State Bank of Texas27-Jan-1718-May-17
21The National Republic Bank of ChicagoChicagoIL916State Bank of Texas24-Oct-146-Jan-16
450Millennium State Bank of TexasDallasTX57667State Bank of Texas2-Jul-0926-Oct-12
\n", + "
" + ], + "text/plain": [ + " Bank Name City ST CERT \\\n", + "4 Seaway Bank and Trust Company Chicago IL 19328 \n", + "21 The National Republic Bank of Chicago Chicago IL 916 \n", + "450 Millennium State Bank of Texas Dallas TX 57667 \n", + "\n", + " Acquiring Institution Closing Date Updated Date \n", + "4 State Bank of Texas 27-Jan-17 18-May-17 \n", + "21 State Bank of Texas 24-Oct-14 6-Jan-16 \n", + "450 State Bank of Texas 2-Jul-09 26-Oct-12 " + ] + }, + "execution_count": 16, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "banks[banks['Acquiring Institution']=='State Bank of Texas']" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### Quelle est la ville la plus fréquente en Californie pour qu'une banque fasse faillite ?" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [], + "source": [ + "# CODE ICI" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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Bank NameSTCERTAcquiring InstitutionClosing DateUpdated Date
City
Los Angeles444444
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" + ], + "text/plain": [ + " Bank Name ST CERT Acquiring Institution Closing Date \\\n", + "City \n", + "Los Angeles 4 4 4 4 4 \n", + "\n", + " Updated Date \n", + "City \n", + "Los Angeles 4 " + ] + }, + "execution_count": 18, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "banks[banks['ST']=='CA'].groupby('City').count().sort_values('Bank Name',ascending=False).head(1)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### Combien de banques en faillite n'ont pas le mot \"Bank\" dans leur nom?" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [], + "source": [ + "# CODE ICI" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "14" + ] + }, + "execution_count": 20, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# banks['Bank Name'].apply(lambda name: 'Bank' not in name).value_counts()\n", + "sum(banks['Bank Name'].apply(lambda name: 'Bank' not in name))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### Combien de noms de banques commencent par la lettre 's' ?" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [], + "source": [ + "# CODE ICI" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "53" + ] + }, + "execution_count": 22, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "sum(banks['Bank Name'].apply(lambda name:name[0].upper() =='S'))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### Combien de valeurs CERT sont supérieures à 20000 ?" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [], + "source": [ + "# CODE ICI" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "417" + ] + }, + "execution_count": 24, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "sum(banks['CERT']>20000)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### Combien de noms de banques se composent de seulement deux mots ? (par exemple \"First Bank\" et \"Bank Georgia\")" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [], + "source": [ + "# CODE ICI" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "114" + ] + }, + "execution_count": 26, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "sum(banks['Bank Name'].apply(lambda name: len(name.split())==2))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Bonus: Combien de banques ont fermé en 2008 ? (c'est difficile parce que techniquement nous n'avons pas encore vu les séries temporelles avec pandas ! N'hésitez pas à passer !" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [], + "source": [ + "# CODE ICI" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "25" + ] + }, + "execution_count": 28, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# ON APPRENDRA UN MEILLEUR MOYEN POUR FAIRE CELA BIENTOT!\n", + "sum(banks['Closing Date'].apply(lambda date: date[-2:]) == '08')\n", + "\n", + "# Meilleure solution\n", + "# sum(pd.to_datetime(banks['Closing Date']).apply(lambda date: date.year) == 2008)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Bon travail!" + ] + } + ], + "metadata": { + "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": "3.7.5" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/03-Pandas/Pandas-Exercices/Pandas Exercices - SOLUTIONS.ipynb b/03-Pandas/Pandas-Exercices/Pandas Exercices - SOLUTIONS.ipynb new file mode 100644 index 0000000..b284801 --- /dev/null +++ b/03-Pandas/Pandas-Exercices/Pandas Exercices - SOLUTIONS.ipynb @@ -0,0 +1,787 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Pandas Exercices - Solutions" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Il est temps de tester vos nouvelles compétences en pandas ! Utilisez le fichier csv de ce dossier pour effectuer les tâches en gras ci-dessous!\n", + "\n", + "#### NOTE : TOUTES LES TÂCHES DOIVENT ÊTRE EFFECTUÉES SUR UNE SEULE LIGNE AVEC DU CODE PANDAS. BLOQUé(e) ? PAS DE PROBLÈME ! CONSULTEZ LE NOTEBOOK AVEC LES SOLUTIONS ! " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### Importer pandas et lire le fichier banklist.csv dans un dataframe nommé banks. " + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import pandas as pd" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "banks = pd.read_csv('banklist.csv')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### Afficher les 5 premières lignes du dataframe" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "# CODE ICI" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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Bank NameCitySTCERTAcquiring InstitutionClosing DateUpdated Date
0Fayette County BankSaint ElmoIL1802United Fidelity Bank, fsb26-May-171-Jun-17
1Guaranty Bank, (d/b/a BestBank in Georgia & Mi...MilwaukeeWI30003First-Citizens Bank & Trust Company5-May-171-Jun-17
2First NBC BankNew OrleansLA58302Whitney Bank28-Apr-1723-May-17
3Proficio BankCottonwood HeightsUT35495Cache Valley Bank3-Mar-1718-May-17
4Seaway Bank and Trust CompanyChicagoIL19328State Bank of Texas27-Jan-1718-May-17
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" + ], + "text/plain": [ + " Bank Name City ST \\\n", + "0 Fayette County Bank Saint Elmo IL \n", + "1 Guaranty Bank, (d/b/a BestBank in Georgia & Mi... Milwaukee WI \n", + "2 First NBC Bank New Orleans LA \n", + "3 Proficio Bank Cottonwood Heights UT \n", + "4 Seaway Bank and Trust Company Chicago IL \n", + "\n", + " CERT Acquiring Institution Closing Date Updated Date \n", + "0 1802 United Fidelity Bank, fsb 26-May-17 1-Jun-17 \n", + "1 30003 First-Citizens Bank & Trust Company 5-May-17 1-Jun-17 \n", + "2 58302 Whitney Bank 28-Apr-17 23-May-17 \n", + "3 35495 Cache Valley Bank 3-Mar-17 18-May-17 \n", + "4 19328 State Bank of Texas 27-Jan-17 18-May-17 " + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "banks.head()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### Quels sont les noms de colonne?" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [], + "source": [ + "# CODE ICI" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Index(['Bank Name', 'City', 'ST', 'CERT', 'Acquiring Institution',\n", + " 'Closing Date', 'Updated Date'],\n", + " dtype='object')" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "banks.columns" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### Combien d'états (ST) sont représentés dans cet ensemble de données?" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "# CODE ICI" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "44" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "banks['ST'].nunique()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### Obtenir une liste ou tableau de tous les états du dataset." + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [], + "source": [ + "# CODE ICI" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array(['IL', 'WI', 'LA', 'UT', 'NJ', 'AR', 'GA', 'PA', 'TN', 'WA', 'CO',\n", + " 'PR', 'FL', 'MN', 'CA', 'MD', 'OK', 'OH', 'SC', 'VA', 'ID', 'TX',\n", + " 'CT', 'AZ', 'NV', 'NC', 'KY', 'MO', 'KS', 'AL', 'MI', 'IN', 'IA',\n", + " 'NE', 'MS', 'NM', 'OR', 'NY', 'MA', 'SD', 'WY', 'WV', 'NH', 'HI'],\n", + " dtype=object)" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "banks['ST'].unique()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### Quels sont les 5 états avec le plus de banques en faillite?" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "scrolled": true + }, + "outputs": [], + "source": [ + "# CODE ICI" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "ST\n", + "GA 93\n", + "FL 75\n", + "IL 67\n", + "CA 41\n", + "MN 23\n", + "Name: Bank Name, dtype: int64" + ] + }, + "execution_count": 12, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "banks.groupby(\"ST\").count().sort_values('Bank Name',ascending=False).iloc[:5]['Bank Name']" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### Quels sont les 5 principaux établissements acquéreurs?" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [], + "source": [ + "# CODE ICI" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "No Acquirer 31\n", + "State Bank and Trust Company 12\n", + "First-Citizens Bank & Trust Company 11\n", + "Ameris Bank 10\n", + "U.S. Bank N.A. 9\n", + "Name: Acquiring Institution, dtype: int64" + ] + }, + "execution_count": 14, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "banks['Acquiring Institution'].value_counts().iloc[:5]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### Combien de banques State Bank of Texas a-t-elle acquises ? Combien d'entre elles étaient au Texas ?" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [], + "source": [ + "# CODE ICI" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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Bank NameCitySTCERTAcquiring InstitutionClosing DateUpdated Date
4Seaway Bank and Trust CompanyChicagoIL19328State Bank of Texas27-Jan-1718-May-17
21The National Republic Bank of ChicagoChicagoIL916State Bank of Texas24-Oct-146-Jan-16
450Millennium State Bank of TexasDallasTX57667State Bank of Texas2-Jul-0926-Oct-12
\n", + "
" + ], + "text/plain": [ + " Bank Name City ST CERT \\\n", + "4 Seaway Bank and Trust Company Chicago IL 19328 \n", + "21 The National Republic Bank of Chicago Chicago IL 916 \n", + "450 Millennium State Bank of Texas Dallas TX 57667 \n", + "\n", + " Acquiring Institution Closing Date Updated Date \n", + "4 State Bank of Texas 27-Jan-17 18-May-17 \n", + "21 State Bank of Texas 24-Oct-14 6-Jan-16 \n", + "450 State Bank of Texas 2-Jul-09 26-Oct-12 " + ] + }, + "execution_count": 16, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "banks[banks['Acquiring Institution']=='State Bank of Texas']" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### Quelle est la ville la plus fréquente en Californie pour qu'une banque fasse faillite ?" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [], + "source": [ + "# CODE ICI" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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Bank NameSTCERTAcquiring InstitutionClosing DateUpdated Date
City
Los Angeles444444
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" + ], + "text/plain": [ + " Bank Name ST CERT Acquiring Institution Closing Date \\\n", + "City \n", + "Los Angeles 4 4 4 4 4 \n", + "\n", + " Updated Date \n", + "City \n", + "Los Angeles 4 " + ] + }, + "execution_count": 18, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "banks[banks['ST']=='CA'].groupby('City').count().sort_values('Bank Name',ascending=False).head(1)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### Combien de banques en faillite n'ont pas le mot \"Bank\" dans leur nom?" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [], + "source": [ + "# CODE ICI" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "14" + ] + }, + "execution_count": 20, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# banks['Bank Name'].apply(lambda name: 'Bank' not in name).value_counts()\n", + "sum(banks['Bank Name'].apply(lambda name: 'Bank' not in name))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### Combien de noms de banques commencent par la lettre 's' ?" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [], + "source": [ + "# CODE ICI" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "53" + ] + }, + "execution_count": 22, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "sum(banks['Bank Name'].apply(lambda name:name[0].upper() =='S'))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### Combien de valeurs CERT sont supérieures à 20000 ?" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [], + "source": [ + "# CODE ICI" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "417" + ] + }, + "execution_count": 24, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "sum(banks['CERT']>20000)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### Combien de noms de banques se composent de seulement deux mots ? (par exemple \"First Bank\" et \"Bank Georgia\")" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [], + "source": [ + "# CODE ICI" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "114" + ] + }, + "execution_count": 26, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "sum(banks['Bank Name'].apply(lambda name: len(name.split())==2))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Bonus: Combien de banques ont fermé en 2008 ? (c'est difficile parce que techniquement nous n'avons pas encore vu les séries temporelles avec pandas ! N'hésitez pas à passer !" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [], + "source": [ + "# CODE ICI" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "25" + ] + }, + "execution_count": 28, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# ON APPRENDRA UN MEILLEUR MOYEN POUR FAIRE CELA BIENTOT!\n", + "sum(banks['Closing Date'].apply(lambda date: date[-2:]) == '08')\n", + "\n", + "# Meilleure solution\n", + "# sum(pd.to_datetime(banks['Closing Date']).apply(lambda date: date.year) == 2008)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Bon travail!" + ] + } + ], + "metadata": { + "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": "3.7.5" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/03-Pandas/Pandas-Exercices/Pandas Exercices.ipynb b/03-Pandas/Pandas-Exercices/Pandas Exercices.ipynb new file mode 100644 index 0000000..7a5945a --- /dev/null +++ b/03-Pandas/Pandas-Exercices/Pandas Exercices.ipynb @@ -0,0 +1,907 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Pandas Exercices - Solutions" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Il est temps de tester vos nouvelles compétences en pandas ! Utilisez le fichier csv de ce dossier pour effectuer les tâches en gras ci-dessous!\n", + "\n", + "#### NOTE : TOUTES LES TÂCHES DOIVENT ÊTRE EFFECTUÉES SUR UNE SEULE LIGNE AVEC DU CODE PANDAS. BLOQUé(e) ? PAS DE PROBLÈME ! CONSULTEZ LE NOTEBOOK AVEC LES SOLUTIONS ! " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### Importer pandas et lire le fichier banklist.csv dans un dataframe nommé banks. " + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "import pandas as pd" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "df=pd.read_csv(\"banklist.csv\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### Afficher les 5 premières lignes du dataframe" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " Bank Name City ST \\\n", + "0 Fayette County Bank Saint Elmo IL \n", + "1 Guaranty Bank, (d/b/a BestBank in Georgia & Mi... Milwaukee WI \n", + "2 First NBC Bank New Orleans LA \n", + "3 Proficio Bank Cottonwood Heights UT \n", + "4 Seaway Bank and Trust Company Chicago IL \n", + "\n", + " CERT Acquiring Institution Closing Date Updated Date \n", + "0 1802 United Fidelity Bank, fsb 26-May-17 1-Jun-17 \n", + "1 30003 First-Citizens Bank & Trust Company 5-May-17 1-Jun-17 \n", + "2 58302 Whitney Bank 28-Apr-17 23-May-17 \n", + "3 35495 Cache Valley Bank 3-Mar-17 18-May-17 \n", + "4 19328 State Bank of Texas 27-Jan-17 18-May-17 " + ], + "text/html": "
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Bank NameCitySTCERTAcquiring InstitutionClosing DateUpdated Date
0Fayette County BankSaint ElmoIL1802United Fidelity Bank, fsb26-May-171-Jun-17
1Guaranty Bank, (d/b/a BestBank in Georgia & Mi...MilwaukeeWI30003First-Citizens Bank & Trust Company5-May-171-Jun-17
2First NBC BankNew OrleansLA58302Whitney Bank28-Apr-1723-May-17
3Proficio BankCottonwood HeightsUT35495Cache Valley Bank3-Mar-1718-May-17
4Seaway Bank and Trust CompanyChicagoIL19328State Bank of Texas27-Jan-1718-May-17
\n
" + }, + "metadata": {}, + "execution_count": 11 + } + ], + "source": [ + "df.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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Bank NameCitySTCERTAcquiring InstitutionClosing DateUpdated Date
0Fayette County BankSaint ElmoIL1802United Fidelity Bank, fsb26-May-171-Jun-17
1Guaranty Bank, (d/b/a BestBank in Georgia & Mi...MilwaukeeWI30003First-Citizens Bank & Trust Company5-May-171-Jun-17
2First NBC BankNew OrleansLA58302Whitney Bank28-Apr-1723-May-17
3Proficio BankCottonwood HeightsUT35495Cache Valley Bank3-Mar-1718-May-17
4Seaway Bank and Trust CompanyChicagoIL19328State Bank of Texas27-Jan-1718-May-17
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" + ], + "text/plain": [ + " Bank Name City ST \\\n", + "0 Fayette County Bank Saint Elmo IL \n", + "1 Guaranty Bank, (d/b/a BestBank in Georgia & Mi... Milwaukee WI \n", + "2 First NBC Bank New Orleans LA \n", + "3 Proficio Bank Cottonwood Heights UT \n", + "4 Seaway Bank and Trust Company Chicago IL \n", + "\n", + " CERT Acquiring Institution Closing Date Updated Date \n", + "0 1802 United Fidelity Bank, fsb 26-May-17 1-Jun-17 \n", + "1 30003 First-Citizens Bank & Trust Company 5-May-17 1-Jun-17 \n", + "2 58302 Whitney Bank 28-Apr-17 23-May-17 \n", + "3 35495 Cache Valley Bank 3-Mar-17 18-May-17 \n", + "4 19328 State Bank of Texas 27-Jan-17 18-May-17 " + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### Quels sont les noms de colonne?" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "Index(['Bank Name', 'City', 'ST', 'CERT', 'Acquiring Institution',\n", + " 'Closing Date', 'Updated Date'],\n", + " dtype='object')" + ] + }, + "metadata": {}, + "execution_count": 13 + } + ], + "source": [ + "df.columns" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Index(['Bank Name', 'City', 'ST', 'CERT', 'Acquiring Institution',\n", + " 'Closing Date', 'Updated Date'],\n", + " dtype='object')" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### Combien d'états (ST) sont représentés dans cet ensemble de données?" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "44" + ] + }, + "metadata": {}, + "execution_count": 18 + } + ], + "source": [ + "df[\"ST\"].nunique()" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "44" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### Obtenir une liste ou tableau de tous les états du dataset." + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "array(['IL', 'WI', 'LA', 'UT', 'NJ', 'AR', 'GA', 'PA', 'TN', 'WA', 'CO',\n", + " 'PR', 'FL', 'MN', 'CA', 'MD', 'OK', 'OH', 'SC', 'VA', 'ID', 'TX',\n", + " 'CT', 'AZ', 'NV', 'NC', 'KY', 'MO', 'KS', 'AL', 'MI', 'IN', 'IA',\n", + " 'NE', 'MS', 'NM', 'OR', 'NY', 'MA', 'SD', 'WY', 'WV', 'NH', 'HI'],\n", + " dtype=object)" + ] + }, + "metadata": {}, + "execution_count": 19 + } + ], + "source": [ + "df[\"ST\"].unique()" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array(['IL', 'WI', 'LA', 'UT', 'NJ', 'AR', 'GA', 'PA', 'TN', 'WA', 'CO',\n", + " 'PR', 'FL', 'MN', 'CA', 'MD', 'OK', 'OH', 'SC', 'VA', 'ID', 'TX',\n", + " 'CT', 'AZ', 'NV', 'NC', 'KY', 'MO', 'KS', 'AL', 'MI', 'IN', 'IA',\n", + " 'NE', 'MS', 'NM', 'OR', 'NY', 'MA', 'SD', 'WY', 'WV', 'NH', 'HI'],\n", + " dtype=object)" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### Quels sont les 5 états avec le plus de banques en faillite?" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "ST\n", + "GA 93\n", + "FL 75\n", + "IL 67\n", + "CA 41\n", + "MN 23\n", + "dtype: int64" + ] + }, + "metadata": {}, + "execution_count": 27 + } + ], + "source": [ + "df.value_counts(\"ST\").sort_values(ascending=False).head()" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "ST\n", + "GA 93\n", + "FL 75\n", + "IL 67\n", + "CA 41\n", + "MN 23\n", + "Name: Bank Name, dtype: int64" + ] + }, + "execution_count": 12, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### Quels sont les 5 principaux établissements acquéreurs?" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "No Acquirer 31\n", + "State Bank and Trust Company 12\n", + "First-Citizens Bank & Trust Company 11\n", + "Ameris Bank 10\n", + "U.S. Bank N.A. 9\n", + "Name: Acquiring Institution, dtype: int64" + ] + }, + "metadata": {}, + "execution_count": 29 + } + ], + "source": [ + "df[\"Acquiring Institution\"].value_counts().sort_values(ascending=False).head()" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "No Acquirer 31\n", + "State Bank and Trust Company 12\n", + "First-Citizens Bank & Trust Company 11\n", + "Ameris Bank 10\n", + "U.S. Bank N.A. 9\n", + "Name: Acquiring Institution, dtype: int64" + ] + }, + "execution_count": 14, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### Combien de banques State Bank of Texas a-t-elle acquises ? Combien d'entre elles étaient au Texas ?" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " Bank Name City ST CERT \\\n", + "4 Seaway Bank and Trust Company Chicago IL 19328 \n", + "21 The National Republic Bank of Chicago Chicago IL 916 \n", + "450 Millennium State Bank of Texas Dallas TX 57667 \n", + "\n", + " Acquiring Institution Closing Date Updated Date \n", + "4 State Bank of Texas 27-Jan-17 18-May-17 \n", + "21 State Bank of Texas 24-Oct-14 6-Jan-16 \n", + "450 State Bank of Texas 2-Jul-09 26-Oct-12 " + ], + "text/html": "
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Bank NameCitySTCERTAcquiring InstitutionClosing DateUpdated Date
4Seaway Bank and Trust CompanyChicagoIL19328State Bank of Texas27-Jan-1718-May-17
21The National Republic Bank of ChicagoChicagoIL916State Bank of Texas24-Oct-146-Jan-16
450Millennium State Bank of TexasDallasTX57667State Bank of Texas2-Jul-0926-Oct-12
\n
" + }, + "metadata": {}, + "execution_count": 30 + } + ], + "source": [ + "df[(df[\"Acquiring Institution\"]==\"State Bank of Texas\")]" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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Bank NameCitySTCERTAcquiring InstitutionClosing DateUpdated Date
4Seaway Bank and Trust CompanyChicagoIL19328State Bank of Texas27-Jan-1718-May-17
21The National Republic Bank of ChicagoChicagoIL916State Bank of Texas24-Oct-146-Jan-16
450Millennium State Bank of TexasDallasTX57667State Bank of Texas2-Jul-0926-Oct-12
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" + ], + "text/plain": [ + " Bank Name City ST CERT \\\n", + "4 Seaway Bank and Trust Company Chicago IL 19328 \n", + "21 The National Republic Bank of Chicago Chicago IL 916 \n", + "450 Millennium State Bank of Texas Dallas TX 57667 \n", + "\n", + " Acquiring Institution Closing Date Updated Date \n", + "4 State Bank of Texas 27-Jan-17 18-May-17 \n", + "21 State Bank of Texas 24-Oct-14 6-Jan-16 \n", + "450 State Bank of Texas 2-Jul-09 26-Oct-12 " + ] + }, + "execution_count": 16, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### Quelle est la ville la plus fréquente en Californie pour qu'une banque fasse faillite ?" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " Bank Name ST CERT Acquiring Institution Closing Date \\\n", + "City \n", + "Los Angeles 4 4 4 4 4 \n", + "\n", + " Updated Date \n", + "City \n", + "Los Angeles 4 " + ], + "text/html": "
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Bank NameSTCERTAcquiring InstitutionClosing DateUpdated Date
City
Los Angeles444444
\n
" + }, + "metadata": {}, + "execution_count": 36 + } + ], + "source": [ + "df[df['ST']=='CA'].groupby('City').count().sort_values('Bank Name',ascending=False).head(1)" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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Los Angeles444444
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" + ], + "text/plain": [ + " Bank Name ST CERT Acquiring Institution Closing Date \\\n", + "City \n", + "Los Angeles 4 4 4 4 4 \n", + "\n", + " Updated Date \n", + "City \n", + "Los Angeles 4 " + ] + }, + "execution_count": 18, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### Combien de banques en faillite n'ont pas le mot \"Bank\" dans leur nom?" + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "False 537\n", + "True 14\n", + "Name: Bank Name, dtype: int64" + ] + }, + "metadata": {}, + "execution_count": 43 + } + ], + "source": [ + "df['Bank Name'].apply(lambda name: 'Bank' not in name).value_counts()" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "14" + ] + }, + "execution_count": 20, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### Combien de noms de banques commencent par la lettre 's' ?" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [], + "source": [ + "# CODE ICI" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "53" + ] + }, + "execution_count": 22, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### Combien de valeurs CERT sont supérieures à 20000 ?" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [], + "source": [ + "# CODE ICI" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "417" + ] + }, + "execution_count": 24, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### Combien de noms de banques se composent de seulement deux mots ? (par exemple \"First Bank\" et \"Bank Georgia\")" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [], + "source": [ + "# CODE ICI" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "114" + ] + }, + "execution_count": 26, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Bonus: Combien de banques ont fermé en 2008 ? (c'est difficile parce que techniquement nous n'avons pas encore vu les séries temporelles avec pandas ! N'hésitez pas à passer !" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [], + "source": [ + "# CODE ICI" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "25" + ] + }, + "execution_count": 28, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Bon travail!" + ] + } + ], + "metadata": { + "kernelspec": { + "name": "python3", + "display_name": "Python 3.7.9 64-bit ('pyfinance': conda)", + "metadata": { + "interpreter": { + "hash": "e89404a230d8800c54ad520c7b67d1bd9bb833a07b37dd3e521a178a3dc34904" + } + } + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.7.9-final" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} \ No newline at end of file diff --git a/03-Pandas/Pandas-Exercices/banklist.csv b/03-Pandas/Pandas-Exercices/banklist.csv new file mode 100644 index 0000000..c07b7da --- /dev/null +++ b/03-Pandas/Pandas-Exercices/banklist.csv @@ -0,0 +1,552 @@ +Bank Name,City,ST,CERT,Acquiring Institution,Closing Date,Updated Date +Fayette County Bank,Saint Elmo,IL,1802,"United Fidelity Bank, fsb",26-May-17,1-Jun-17 +"Guaranty Bank, (d/b/a BestBank in Georgia & Michigan) ",Milwaukee,WI,30003,First-Citizens Bank & Trust Company,5-May-17,1-Jun-17 +First NBC Bank,New Orleans,LA,58302,Whitney Bank,28-Apr-17,23-May-17 +Proficio Bank,Cottonwood Heights,UT,35495,Cache Valley Bank,3-Mar-17,18-May-17 +Seaway Bank and Trust Company,Chicago,IL,19328,State Bank of Texas,27-Jan-17,18-May-17 +Harvest Community Bank,Pennsville,NJ,34951,First-Citizens Bank & Trust Company,13-Jan-17,18-May-17 +Allied Bank,Mulberry,AR,91,Today's Bank,23-Sep-16,17-Nov-16 +The Woodbury Banking Company,Woodbury,GA,11297,United Bank,19-Aug-16,1-Jun-17 +First CornerStone Bank,King of Prussia,PA,35312,First-Citizens Bank & Trust Company,6-May-16,6-Sep-16 +Trust Company Bank,Memphis,TN,9956,The Bank of Fayette County,29-Apr-16,6-Sep-16 +North Milwaukee State Bank,Milwaukee,WI,20364,First-Citizens Bank & Trust Company,11-Mar-16,13-Mar-17 +Hometown National Bank,Longview,WA,35156,Twin City Bank,2-Oct-15,13-Apr-16 +The Bank of Georgia,Peachtree City,GA,35259,Fidelity Bank,2-Oct-15,24-Oct-16 +Premier Bank,Denver,CO,34112,"United Fidelity Bank, fsb",10-Jul-15,17-Aug-16 +Edgebrook Bank,Chicago,IL,57772,Republic Bank of Chicago,8-May-15,12-Jul-16 +Doral Bank,San Juan,PR,32102,Banco Popular de Puerto Rico,27-Feb-15,13-May-15 +Capitol City Bank & Trust Company,Atlanta,GA,33938,First-Citizens Bank & Trust Company,13-Feb-15,21-Apr-15 +Highland Community Bank,Chicago,IL,20290,"United Fidelity Bank, fsb",23-Jan-15,21-Apr-15 +First National Bank of Crestview ,Crestview,FL,17557,First NBC Bank,16-Jan-15,8-May-17 +Northern Star Bank,Mankato,MN,34983,BankVista,19-Dec-14,6-Jan-16 +"Frontier Bank, FSB D/B/A El Paseo Bank",Palm Desert,CA,34738,"Bank of Southern California, N.A.",7-Nov-14,10-Nov-16 +The National Republic Bank of Chicago,Chicago,IL,916,State Bank of Texas,24-Oct-14,6-Jan-16 +NBRS Financial,Rising Sun,MD,4862,Howard Bank,17-Oct-14,26-Mar-15 +"GreenChoice Bank, fsb",Chicago,IL,28462,"Providence Bank, LLC",25-Jul-14,12-Dec-16 +Eastside Commercial Bank,Conyers,GA,58125,Community & Southern Bank,18-Jul-14,11-Jul-16 +The Freedom State Bank ,Freedom,OK,12483,Alva State Bank & Trust Company,27-Jun-14,25-Mar-16 +Valley Bank,Fort Lauderdale,FL,21793,"Landmark Bank, National Association",20-Jun-14,29-Jun-15 +Valley Bank,Moline,IL,10450,Great Southern Bank,20-Jun-14,26-Jun-15 +Slavie Federal Savings Bank,Bel Air,MD,32368,"Bay Bank, FSB",30-May-14,12-Dec-16 +Columbia Savings Bank,Cincinnati,OH,32284,"United Fidelity Bank, fsb",23-May-14,10-Nov-16 +AztecAmerica Bank ,Berwyn,IL,57866,Republic Bank of Chicago,16-May-14,20-Oct-16 +Allendale County Bank,Fairfax,SC,15062,Palmetto State Bank,25-Apr-14,18-Jul-14 +Vantage Point Bank,Horsham,PA,58531,First Choice Bank,28-Feb-14,3-Mar-15 +"Millennium Bank, National Association ",Sterling,VA,35096,WashingtonFirst Bank,28-Feb-14,3-Mar-15 +Syringa Bank,Boise,ID,34296,Sunwest Bank,31-Jan-14,12-Apr-16 +The Bank of Union,El Reno,OK,17967,BancFirst,24-Jan-14,25-Mar-16 +DuPage National Bank,West Chicago,IL,5732,Republic Bank of Chicago,17-Jan-14,20-Oct-16 +"Texas Community Bank, National Association",The Woodlands,TX,57431,"Spirit of Texas Bank, SSB",13-Dec-13,29-Dec-14 +Bank of Jackson County,Graceville,FL,14794,First Federal Bank of Florida,30-Oct-13,20-Oct-16 +First National Bank also operating as The National Bank of El Paso,Edinburg,TX,14318,PlainsCapital Bank,13-Sep-13,27-May-15 +The Community's Bank,Bridgeport,CT,57041,No Acquirer,13-Sep-13,7-Dec-15 +Sunrise Bank of Arizona,Phoenix,AZ,34707,"First Fidelity Bank, National Association",23-Aug-13,3-May-17 +Community South Bank,Parsons,TN,19849,"CB&S Bank, Inc.",23-Aug-13,12-Sep-14 +Bank of Wausau,Wausau,WI,35016,Nicolet National Bank,9-Aug-13,24-Oct-13 +First Community Bank of Southwest Florida (also operating as Community Bank of Cape Coral),Fort Myers,FL,34943,C1 Bank,2-Aug-13,9-Feb-17 +Mountain National Bank,Sevierville,TN,34789,"First Tennessee Bank, National Association",7-Jun-13,4-Feb-16 +1st Commerce Bank,North Las Vegas,NV,58358,Plaza Bank,6-Jun-13,12-Jul-13 +Banks of Wisconsin d/b/a Bank of Kenosha,Kenosha,WI,35386,"North Shore Bank, FSB",31-May-13,5-May-17 +Central Arizona Bank,Scottsdale,AZ,34527,Western State Bank,14-May-13,7-Dec-15 +Sunrise Bank,Valdosta,GA,58185,Synovus Bank,10-May-13,26-Jun-14 +Pisgah Community Bank,Asheville,NC,58701,"Capital Bank, N.A.",10-May-13,8-Aug-16 +Douglas County Bank,Douglasville,GA,21649,Hamilton State Bank,26-Apr-13,25-Apr-14 +Parkway Bank,Lenoir,NC,57158,"CertusBank, National Association",26-Apr-13,20-Oct-16 +Chipola Community Bank,Marianna,FL,58034,First Federal Bank of Florida,19-Apr-13,21-Sep-15 +Heritage Bank of North Florida,Orange Park,FL,26680,FirstAtlantic Bank,19-Apr-13,8-Aug-16 +First Federal Bank,Lexington,KY,29594,Your Community Bank,19-Apr-13,12-Dec-16 +Gold Canyon Bank,Gold Canyon,AZ,58066,"First Scottsdale Bank, National Association",5-Apr-13,7-Oct-15 +Frontier Bank,LaGrange,GA,16431,HeritageBank of the South,8-Mar-13,2-Mar-16 +Covenant Bank,Chicago,IL,22476,Liberty Bank and Trust Company,15-Feb-13,21-Sep-15 +1st Regents Bank,Andover,MN,57157,First Minnesota Bank,18-Jan-13,12-Jul-16 +Westside Community Bank,University Place,WA,33997,Sunwest Bank,11-Jan-13,8-Aug-16 +Community Bank of the Ozarks,Sunrise Beach,MO,27331,Bank of Sullivan,14-Dec-12,4-Apr-14 +Hometown Community Bank,Braselton,GA,57928,"CertusBank, National Association",16-Nov-12,6-Jan-16 +Citizens First National Bank,Princeton,IL,3731,Heartland Bank and Trust Company,2-Nov-12,22-Nov-13 +Heritage Bank of Florida,Lutz,FL,35009,Centennial Bank,2-Nov-12,21-Mar-14 +NOVA Bank,Berwyn,PA,27148,No Acquirer,26-Oct-12,24-Jan-13 +Excel Bank,Sedalia,MO,19189,Simmons First National Bank,19-Oct-12,22-Oct-13 +First East Side Savings Bank,Tamarac,FL,28144,Stearns Bank N.A.,19-Oct-12,6-Jan-16 +GulfSouth Private Bank,Destin,FL,58073,SmartBank,19-Oct-12,21-Mar-14 +First United Bank,Crete,IL,20685,"Old Plank Trail Community Bank, National Association",28-Sep-12,1-Nov-13 +Truman Bank,St. Louis,MO,27316,Simmons First National Bank,14-Sep-12,17-Dec-12 +First Commercial Bank,Bloomington,MN,35246,Republic Bank & Trust Company,7-Sep-12,17-Dec-12 +Waukegan Savings Bank,Waukegan,IL,28243,First Midwest Bank,3-Aug-12,7-Dec-15 +Jasper Banking Company,Jasper,GA,16240,Stearns Bank N.A.,27-Jul-12,21-Mar-14 +Second Federal Savings and Loan Association of Chicago,Chicago,IL,27986,Hinsdale Bank & Trust Company,20-Jul-12,14-Jan-13 +Heartland Bank,Leawood,KS,1361,Metcalf Bank,20-Jul-12,30-Jul-13 +First Cherokee State Bank,Woodstock,GA,32711,Community & Southern Bank,20-Jul-12,6-Jun-16 +Georgia Trust Bank,Buford,GA,57847,Community & Southern Bank,20-Jul-12,21-Mar-14 +The Royal Palm Bank of Florida,Naples,FL,57096,First National Bank of the Gulf Coast,20-Jul-12,21-Mar-14 +Glasgow Savings Bank,Glasgow,MO,1056,Regional Missouri Bank,13-Jul-12,19-Aug-14 +Montgomery Bank & Trust,Ailey,GA,19498,Ameris Bank,6-Jul-12,21-Mar-14 +The Farmers Bank of Lynchburg,Lynchburg,TN,1690,Clayton Bank and Trust,15-Jun-12,8-Aug-16 +Security Exchange Bank,Marietta,GA,35299,Fidelity Bank,15-Jun-12,21-Mar-14 +Putnam State Bank,Palatka,FL,27405,Harbor Community Bank,15-Jun-12,21-Mar-14 +Waccamaw Bank,Whiteville,NC,34515,First Community Bank,8-Jun-12,21-Mar-14 +Farmers' and Traders' State Bank,Shabbona,IL,9257,First State Bank,8-Jun-12,10-Oct-12 +Carolina Federal Savings Bank,Charleston,SC,35372,Bank of North Carolina,8-Jun-12,21-Mar-14 +First Capital Bank,Kingfisher,OK,416,F & M Bank,8-Jun-12,5-Feb-15 +"Alabama Trust Bank, National Association",Sylacauga,AL,35224,Southern States Bank,18-May-12,21-Sep-15 +"Security Bank, National Association",North Lauderdale,FL,23156,Banesco USA,4-May-12,12-Apr-16 +Palm Desert National Bank,Palm Desert,CA,23632,Pacific Premier Bank,27-Apr-12,7-Dec-15 +Plantation Federal Bank,Pawleys Island,SC,32503,First Federal Bank,27-Apr-12,10-Nov-16 +"Inter Savings Bank, fsb D/B/A InterBank, fsb",Maple Grove,MN,31495,Great Southern Bank,27-Apr-12,17-May-13 +HarVest Bank of Maryland,Gaithersburg,MD,57766,Sonabank,27-Apr-12,21-Sep-15 +Bank of the Eastern Shore,Cambridge,MD,26759,No Acquirer,27-Apr-12,17-Oct-12 +"Fort Lee Federal Savings Bank, FSB",Fort Lee,NJ,35527,Alma Bank,20-Apr-12,17-May-13 +Fidelity Bank,Dearborn,MI,33883,The Huntington National Bank,30-Mar-12,4-Feb-14 +Premier Bank,Wilmette,IL,35419,International Bank of Chicago,23-Mar-12,17-Oct-12 +Covenant Bank & Trust,Rock Spring,GA,58068,"Stearns Bank, N.A.",23-Mar-12,21-Mar-14 +New City Bank,Chicago,IL,57597,No Acquirer,9-Mar-12,29-Oct-12 +Global Commerce Bank,Doraville,GA,34046,Metro City Bank,2-Mar-12,26-Jun-14 +Home Savings of America,Little Falls,MN,29178,No Acquirer,24-Feb-12,17-Dec-12 +Central Bank of Georgia,Ellaville,GA,5687,Ameris Bank,24-Feb-12,21-Mar-14 +SCB Bank,Shelbyville,IN,29761,"First Merchants Bank, National Association",10-Feb-12,19-Feb-15 +Charter National Bank and Trust,Hoffman Estates,IL,23187,"Barrington Bank & Trust Company, National Association",10-Feb-12,25-Mar-13 +BankEast,Knoxville,TN,19869,"U.S. Bank, N.A.",27-Jan-12,7-Dec-15 +Patriot Bank Minnesota,Forest Lake,MN,34823,First Resource Bank,27-Jan-12,12-Sep-12 +Tennessee Commerce Bank,Franklin,TN,35296,Republic Bank & Trust Company,27-Jan-12,21-Mar-14 +First Guaranty Bank and Trust Company of Jacksonville,Jacksonville,FL,16579,"CenterState Bank of Florida, N.A.",27-Jan-12,11-Jul-16 +American Eagle Savings Bank,Boothwyn,PA,31581,"Capital Bank, N.A.",20-Jan-12,25-Jan-13 +The First State Bank,Stockbridge,GA,19252,Hamilton State Bank,20-Jan-12,21-Mar-14 +Central Florida State Bank,Belleview,FL,57186,"CenterState Bank of Florida, N.A.",20-Jan-12,6-Jun-16 +Western National Bank,Phoenix,AZ,57917,Washington Federal,16-Dec-11,5-Feb-15 +Premier Community Bank of the Emerald Coast,Crestview,FL,58343,Summit Bank,16-Dec-11,21-Mar-14 +Central Progressive Bank,Lacombe,LA,19657,First NBC Bank,18-Nov-11,5-Feb-15 +Polk County Bank,Johnston,IA,14194,Grinnell State Bank,18-Nov-11,15-Aug-12 +Community Bank of Rockmart,Rockmart,GA,57860,Century Bank of Georgia,10-Nov-11,21-Mar-14 +SunFirst Bank,Saint George,UT,57087,Cache Valley Bank,4-Nov-11,16-Nov-12 +"Mid City Bank, Inc.",Omaha,NE,19397,Premier Bank,4-Nov-11,15-Aug-12 +All American Bank,Des Plaines,IL,57759,International Bank of Chicago,28-Oct-11,15-Aug-12 +Community Banks of Colorado,Greenwood Village,CO,21132,"Bank Midwest, N.A.",21-Oct-11,2-Jan-13 +Community Capital Bank,Jonesboro,GA,57036,State Bank and Trust Company,21-Oct-11,6-Jan-16 +Decatur First Bank,Decatur,GA,34392,Fidelity Bank,21-Oct-11,21-Mar-14 +Old Harbor Bank,Clearwater,FL,57537,1st United Bank,21-Oct-11,21-Mar-14 +Country Bank,Aledo,IL,35395,Blackhawk Bank & Trust,14-Oct-11,13-Apr-17 +First State Bank,Cranford,NJ,58046,Northfield Bank,14-Oct-11,8-Nov-12 +"Blue Ridge Savings Bank, Inc.",Asheville,NC,32347,Bank of North Carolina,14-Oct-11,21-Mar-14 +Piedmont Community Bank,Gray,GA,57256,State Bank and Trust Company,14-Oct-11,21-Mar-14 +Sun Security Bank,Ellington,MO,20115,Great Southern Bank,7-Oct-11,8-May-17 +The RiverBank,Wyoming,MN,10216,Central Bank,7-Oct-11,7-Nov-12 +First International Bank,Plano,TX,33513,American First National Bank,30-Sep-11,5-Feb-15 +Citizens Bank of Northern California,Nevada City,CA,33983,Tri Counties Bank,23-Sep-11,9-Oct-12 +Bank of the Commonwealth,Norfolk,VA,20408,Southern Bank and Trust Company,23-Sep-11,9-Oct-12 +The First National Bank of Florida,Milton,FL,25155,CharterBank,9-Sep-11,21-Mar-14 +CreekSide Bank,Woodstock,GA,58226,Georgia Commerce Bank,2-Sep-11,21-Mar-14 +Patriot Bank of Georgia,Cumming,GA,58273,Georgia Commerce Bank,2-Sep-11,21-Mar-14 +First Choice Bank,Geneva,IL,57212,Inland Bank & Trust,19-Aug-11,5-Feb-15 +First Southern National Bank,Statesboro,GA,57239,Heritage Bank of the South,19-Aug-11,2-Mar-16 +Lydian Private Bank,Palm Beach,FL,35356,"Sabadell United Bank, N.A.",19-Aug-11,21-Mar-14 +Public Savings Bank,Huntingdon Valley,PA,34130,"Capital Bank, N.A.",18-Aug-11,15-Aug-12 +The First National Bank of Olathe,Olathe,KS,4744,Enterprise Bank & Trust,12-Aug-11,23-Aug-12 +Bank of Whitman,Colfax,WA,22528,Columbia State Bank,5-Aug-11,16-Aug-12 +Bank of Shorewood,Shorewood,IL,22637,Heartland Bank and Trust Company,5-Aug-11,20-Oct-16 +Integra Bank National Association,Evansville,IN,4392,Old National Bank,29-Jul-11,16-Aug-12 +"BankMeridian, N.A.",Columbia,SC,58222,SCBT National Association,29-Jul-11,21-Mar-14 +Virginia Business Bank,Richmond,VA,58283,Xenith Bank,29-Jul-11,9-Oct-12 +Bank of Choice,Greeley,CO,2994,"Bank Midwest, N.A.",22-Jul-11,12-Sep-12 +LandMark Bank of Florida,Sarasota,FL,35244,American Momentum Bank,22-Jul-11,21-Mar-14 +Southshore Community Bank,Apollo Beach,FL,58056,American Momentum Bank,22-Jul-11,5-Feb-15 +Summit Bank,Prescott,AZ,57442,The Foothills Bank,15-Jul-11,19-Aug-14 +First Peoples Bank,Port St. Lucie,FL,34870,"Premier American Bank, N.A.",15-Jul-11,12-Jul-16 +High Trust Bank,Stockbridge,GA,19554,Ameris Bank,15-Jul-11,21-Mar-14 +One Georgia Bank,Atlanta,GA,58238,Ameris Bank,15-Jul-11,21-Mar-14 +Signature Bank,Windsor,CO,57835,Points West Community Bank,8-Jul-11,26-Oct-12 +Colorado Capital Bank,Castle Rock,CO,34522,First-Citizens Bank & Trust Company,8-Jul-11,10-Nov-16 +First Chicago Bank & Trust,Chicago,IL,27935,Northbrook Bank & Trust Company,8-Jul-11,9-Sep-12 +Mountain Heritage Bank,Clayton,GA,57593,First American Bank and Trust Company,24-Jun-11,9-Feb-17 +First Commercial Bank of Tampa Bay,Tampa,FL,27583,Stonegate Bank,17-Jun-11,12-Sep-16 +McIntosh State Bank,Jackson,GA,19237,Hamilton State Bank,17-Jun-11,21-Mar-14 +Atlantic Bank and Trust,Charleston,SC,58420,"First Citizens Bank and Trust Company, Inc.",3-Jun-11,21-Mar-14 +First Heritage Bank,Snohomish,WA,23626,Columbia State Bank,27-May-11,28-Jan-13 +Summit Bank,Burlington,WA,513,Columbia State Bank,20-May-11,22-Jan-13 +First Georgia Banking Company,Franklin,GA,57647,"CertusBank, National Association",20-May-11,21-Mar-14 +Atlantic Southern Bank,Macon,GA,57213,"CertusBank, National Association",20-May-11,21-Mar-14 +Coastal Bank,Cocoa Beach,FL,34898,"Florida Community Bank, a division of Premier American Bank, N.A.",6-May-11,21-Sep-15 +Community Central Bank,Mount Clemens,MI,34234,Talmer Bank & Trust,29-Apr-11,13-Apr-17 +The Park Avenue Bank,Valdosta,GA,19797,Bank of the Ozarks,29-Apr-11,21-Mar-14 +First Choice Community Bank,Dallas,GA,58539,Bank of the Ozarks,29-Apr-11,21-Sep-15 +Cortez Community Bank,Brooksville,FL,57625,"Florida Community Bank, a division of Premier American Bank, N.A.",29-Apr-11,8-Aug-16 +First National Bank of Central Florida,Winter Park,FL,26297,"Florida Community Bank, a division of Premier American Bank, N.A.",29-Apr-11,4-May-16 +Heritage Banking Group,Carthage,MS,14273,Trustmark National Bank,15-Apr-11,21-Mar-14 +Rosemount National Bank,Rosemount,MN,24099,Central Bank,15-Apr-11,7-Dec-15 +Superior Bank,Birmingham,AL,17750,"Superior Bank, National Association",15-Apr-11,21-Mar-14 +Nexity Bank,Birmingham,AL,19794,AloStar Bank of Commerce,15-Apr-11,21-Mar-14 +New Horizons Bank,East Ellijay,GA,57705,Citizens South Bank,15-Apr-11,21-Mar-14 +Bartow County Bank,Cartersville,GA,21495,Hamilton State Bank,15-Apr-11,21-Mar-14 +Nevada Commerce Bank,Las Vegas,NV,35418,City National Bank,8-Apr-11,9-Sep-12 +Western Springs National Bank and Trust,Western Springs,IL,10086,Heartland Bank and Trust Company,8-Apr-11,22-Jan-13 +The Bank of Commerce,Wood Dale,IL,34292,Advantage National Bank Group,25-Mar-11,22-Jan-13 +Legacy Bank,Milwaukee,WI,34818,Seaway Bank and Trust Company,11-Mar-11,12-Sep-12 +First National Bank of Davis,Davis,OK,4077,The Pauls Valley National Bank,11-Mar-11,13-Apr-17 +Valley Community Bank,St. Charles,IL,34187,First State Bank,25-Feb-11,5-Feb-15 +"San Luis Trust Bank, FSB",San Luis Obispo,CA,34783,First California Bank,18-Feb-11,12-Sep-16 +Charter Oak Bank,Napa,CA,57855,Bank of Marin,18-Feb-11,12-Sep-12 +Citizens Bank of Effingham,Springfield,GA,34601,Heritage Bank of the South,18-Feb-11,21-Mar-14 +Habersham Bank,Clarkesville,GA,151,SCBT National Association,18-Feb-11,21-Mar-14 +Canyon National Bank,Palm Springs,CA,34692,Pacific Premier Bank,11-Feb-11,19-Aug-14 +Badger State Bank,Cassville,WI,13272,Royal Bank,11-Feb-11,12-Sep-12 +Peoples State Bank,Hamtramck,MI,14939,First Michigan Bank,11-Feb-11,22-Jan-13 +Sunshine State Community Bank,Port Orange,FL,35478,"Premier American Bank, N.A.",11-Feb-11,8-Aug-16 +Community First Bank Chicago,Chicago,IL,57948,Northbrook Bank & Trust Company,4-Feb-11,20-Aug-12 +North Georgia Bank,Watkinsville,GA,35242,BankSouth,4-Feb-11,21-Mar-14 +American Trust Bank,Roswell,GA,57432,Renasant Bank,4-Feb-11,21-Mar-14 +First Community Bank,Taos,NM,12261,"U.S. Bank, N.A.",28-Jan-11,12-Sep-12 +FirsTier Bank,Louisville,CO,57646,No Acquirer,28-Jan-11,12-Sep-12 +Evergreen State Bank,Stoughton,WI,5328,McFarland State Bank,28-Jan-11,12-Sep-12 +The First State Bank,Camargo,OK,2303,Bank 7,28-Jan-11,12-Sep-12 +United Western Bank,Denver,CO,31293,First-Citizens Bank & Trust Company,21-Jan-11,12-Sep-12 +The Bank of Asheville,Asheville,NC,34516,First Bank,21-Jan-11,21-Mar-14 +CommunitySouth Bank & Trust,Easley,SC,57868,"CertusBank, National Association",21-Jan-11,6-Jun-16 +Enterprise Banking Company,McDonough,GA,19758,No Acquirer,21-Jan-11,21-Mar-14 +Oglethorpe Bank,Brunswick,GA,57440,Bank of the Ozarks,14-Jan-11,21-Mar-14 +Legacy Bank,Scottsdale,AZ,57820,Enterprise Bank & Trust,7-Jan-11,12-Apr-16 +First Commercial Bank of Florida,Orlando,FL,34965,First Southern Bank,7-Jan-11,6-Jun-16 +Community National Bank,Lino Lakes,MN,23306,Farmers & Merchants Savings Bank,17-Dec-10,10-Nov-16 +First Southern Bank,Batesville,AR,58052,Southern Bank,17-Dec-10,20-Aug-12 +"United Americas Bank, N.A.",Atlanta,GA,35065,State Bank and Trust Company,17-Dec-10,17-Oct-15 +"Appalachian Community Bank, FSB",McCaysville,GA,58495,Peoples Bank of East Tennessee,17-Dec-10,21-Mar-14 +Chestatee State Bank,Dawsonville,GA,34578,Bank of the Ozarks,17-Dec-10,21-Sep-15 +"The Bank of Miami,N.A.",Coral Gables,FL,19040,1st United Bank,17-Dec-10,21-Mar-14 +Earthstar Bank,Southampton,PA,35561,Polonia Bank,10-Dec-10,20-Aug-12 +Paramount Bank,Farmington Hills,MI,34673,Level One Bank,10-Dec-10,21-Sep-15 +First Banking Center,Burlington,WI,5287,First Michigan Bank,19-Nov-10,20-Aug-12 +Allegiance Bank of North America,Bala Cynwyd,PA,35078,VIST Bank,19-Nov-10,20-Aug-12 +Gulf State Community Bank,Carrabelle,FL,20340,Centennial Bank,19-Nov-10,12-Dec-16 +Copper Star Bank,Scottsdale,AZ,35463,"Stearns Bank, N.A.",12-Nov-10,20-Aug-12 +Darby Bank & Trust Co.,Vidalia,GA,14580,Ameris Bank,12-Nov-10,21-Mar-14 +Tifton Banking Company,Tifton,GA,57831,Ameris Bank,12-Nov-10,21-Mar-14 +First Vietnamese American Bank,Westminster,CA,57885,Grandpoint Bank,5-Nov-10,12-Sep-12 +Pierce Commercial Bank,Tacoma,WA,34411,Heritage Bank,5-Nov-10,19-Oct-15 +Western Commercial Bank,Woodland Hills,CA,58087,First California Bank,5-Nov-10,12-Sep-16 +K Bank,Randallstown,MD,31263,Manufacturers and Traders Trust Company (M&T Bank),5-Nov-10,20-Aug-12 +"First Arizona Savings, A FSB",Scottsdale,AZ,32582,No Acquirer,22-Oct-10,20-Aug-12 +Hillcrest Bank,Overland Park,KS,22173,"Hillcrest Bank, N.A.",22-Oct-10,20-Aug-12 +First Suburban National Bank,Maywood,IL,16089,Seaway Bank and Trust Company,22-Oct-10,20-Aug-12 +The First National Bank of Barnesville,Barnesville,GA,2119,United Bank,22-Oct-10,17-Oct-15 +The Gordon Bank,Gordon,GA,33904,Morris Bank,22-Oct-10,21-Mar-14 +Progress Bank of Florida,Tampa,FL,32251,Bay Cities Bank,22-Oct-10,4-Feb-16 +First Bank of Jacksonville,Jacksonville,FL,27573,Ameris Bank,22-Oct-10,21-Mar-14 +Premier Bank,Jefferson City,MO,34016,Providence Bank,15-Oct-10,20-Aug-12 +WestBridge Bank and Trust Company,Chesterfield,MO,58205,Midland States Bank,15-Oct-10,9-Feb-17 +"Security Savings Bank, F.S.B.",Olathe,KS,30898,Simmons First National Bank,15-Oct-10,20-Aug-12 +Shoreline Bank,Shoreline,WA,35250,GBC International Bank,1-Oct-10,20-Aug-12 +Wakulla Bank,Crawfordville,FL,21777,Centennial Bank,1-Oct-10,21-Mar-14 +North County Bank,Arlington,WA,35053,Whidbey Island Bank,24-Sep-10,12-Apr-16 +Haven Trust Bank Florida,Ponte Vedra Beach,FL,58308,First Southern Bank,24-Sep-10,11-Jul-16 +Maritime Savings Bank,West Allis,WI,28612,"North Shore Bank, FSB",17-Sep-10,20-Aug-12 +Bramble Savings Bank,Milford,OH,27808,Foundation Bank,17-Sep-10,20-Aug-12 +The Peoples Bank,Winder,GA,182,Community & Southern Bank,17-Sep-10,4-May-16 +First Commerce Community Bank,Douglasville,GA,57448,Community & Southern Bank,17-Sep-10,4-May-16 +Bank of Ellijay,Ellijay,GA,58197,Community & Southern Bank,17-Sep-10,6-Jun-16 +ISN Bank,Cherry Hill,NJ,57107,Customers Bank,17-Sep-10,22-Aug-12 +Horizon Bank,Bradenton,FL,35061,Bank of the Ozarks,10-Sep-10,21-Mar-14 +Sonoma Valley Bank,Sonoma,CA,27259,Westamerica Bank,20-Aug-10,12-Sep-12 +Los Padres Bank,Solvang,CA,32165,Pacific Western Bank,20-Aug-10,12-Sep-12 +Butte Community Bank,Chico,CA,33219,"Rabobank, N.A.",20-Aug-10,12-Sep-12 +Pacific State Bank,Stockton,CA,27090,"Rabobank, N.A.",20-Aug-10,12-Sep-12 +ShoreBank,Chicago,IL,15640,Urban Partnership Bank,20-Aug-10,16-May-13 +Imperial Savings and Loan Association,Martinsville,VA,31623,"River Community Bank, N.A.",20-Aug-10,24-Aug-12 +Independent National Bank,Ocala,FL,27344,"CenterState Bank of Florida, N.A.",20-Aug-10,20-Oct-16 +Community National Bank at Bartow,Bartow,FL,25266,"CenterState Bank of Florida, N.A.",20-Aug-10,11-Jul-16 +Palos Bank and Trust Company,Palos Heights,IL,17599,First Midwest Bank,13-Aug-10,22-Aug-12 +Ravenswood Bank,Chicago,IL,34231,Northbrook Bank & Trust Company,6-Aug-10,22-Aug-12 +LibertyBank,Eugene,OR,31964,Home Federal Bank,30-Jul-10,22-Aug-12 +The Cowlitz Bank,Longview,WA,22643,Heritage Bank,30-Jul-10,22-Aug-12 +Coastal Community Bank,Panama City Beach,FL,9619,Centennial Bank,30-Jul-10,9-Feb-17 +Bayside Savings Bank,Port Saint Joe,FL,57669,Centennial Bank,30-Jul-10,12-Dec-16 +Northwest Bank & Trust,Acworth,GA,57658,State Bank and Trust Company,30-Jul-10,21-Sep-15 +Home Valley Bank,Cave Junction,OR,23181,South Valley Bank & Trust,23-Jul-10,12-Sep-12 +SouthwestUSA Bank,Las Vegas,NV,35434,Plaza Bank,23-Jul-10,22-Aug-12 +Community Security Bank,New Prague,MN,34486,Roundbank,23-Jul-10,4-Feb-16 +Thunder Bank,Sylvan Grove,KS,10506,The Bennington State Bank,23-Jul-10,13-Sep-12 +Williamsburg First National Bank,Kingstree,SC,17837,"First Citizens Bank and Trust Company, Inc.",23-Jul-10,20-Oct-16 +Crescent Bank and Trust Company,Jasper,GA,27559,Renasant Bank,23-Jul-10,21-Mar-14 +Sterling Bank,Lantana,FL,32536,IBERIABANK,23-Jul-10,21-Mar-14 +"Mainstreet Savings Bank, FSB",Hastings,MI,28136,Commercial Bank,16-Jul-10,13-Sep-12 +Olde Cypress Community Bank,Clewiston,FL,28864,"CenterState Bank of Florida, N.A.",16-Jul-10,11-Jul-16 +Turnberry Bank,Aventura,FL,32280,NAFH National Bank,16-Jul-10,12-Sep-16 +Metro Bank of Dade County,Miami,FL,25172,NAFH National Bank,16-Jul-10,8-Aug-16 +First National Bank of the South,Spartanburg,SC,35383,NAFH National Bank,16-Jul-10,21-Mar-14 +Woodlands Bank,Bluffton,SC,32571,Bank of the Ozarks,16-Jul-10,21-Sep-15 +Home National Bank,Blackwell,OK,11636,RCB Bank,9-Jul-10,12-Dec-16 +USA Bank,Port Chester,NY,58072,New Century Bank,9-Jul-10,14-Sep-12 +Ideal Federal Savings Bank,Baltimore,MD,32456,No Acquirer,9-Jul-10,8-May-15 +Bay National Bank,Baltimore,MD,35462,"Bay Bank, FSB",9-Jul-10,15-Jan-13 +High Desert State Bank,Albuquerque,NM,35279,First American Bank,25-Jun-10,14-Sep-12 +First National Bank,Savannah,GA,34152,"The Savannah Bank, N.A.",25-Jun-10,21-Mar-14 +Peninsula Bank,Englewood,FL,26563,"Premier American Bank, N.A.",25-Jun-10,21-Mar-14 +Nevada Security Bank,Reno,NV,57110,Umpqua Bank,18-Jun-10,23-Aug-12 +Washington First International Bank,Seattle,WA,32955,East West Bank,11-Jun-10,14-Sep-12 +TierOne Bank,Lincoln,NE,29341,Great Western Bank,4-Jun-10,14-Sep-12 +Arcola Homestead Savings Bank,Arcola,IL,31813,No Acquirer,4-Jun-10,8-May-15 +First National Bank,Rosedale,MS,15814,The Jefferson Bank,4-Jun-10,21-Mar-14 +Sun West Bank,Las Vegas,NV,34785,City National Bank,28-May-10,14-Sep-12 +"Granite Community Bank, NA",Granite Bay,CA,57315,Tri Counties Bank,28-May-10,14-Sep-12 +Bank of Florida - Tampa,Tampa,FL,57814,EverBank,28-May-10,8-Aug-16 +Bank of Florida - Southwest,Naples,FL,35106,EverBank,28-May-10,8-Aug-16 +Bank of Florida - Southeast,Fort Lauderdale,FL,57360,EverBank,28-May-10,8-Aug-16 +Pinehurst Bank,Saint Paul,MN,57735,Coulee Bank,21-May-10,26-Oct-12 +Midwest Bank and Trust Company,Elmwood Park,IL,18117,"FirstMerit Bank, N.A.",14-May-10,23-Aug-12 +Southwest Community Bank,Springfield,MO,34255,Simmons First National Bank,14-May-10,4-Feb-16 +New Liberty Bank,Plymouth,MI,35586,Bank of Ann Arbor,14-May-10,23-Aug-12 +Satilla Community Bank,Saint Marys,GA,35114,Ameris Bank,14-May-10,21-Mar-14 +1st Pacific Bank of California,San Diego,CA,35517,City National Bank,7-May-10,13-Dec-12 +Towne Bank of Arizona,Mesa,AZ,57697,Commerce Bank of Arizona,7-May-10,23-Aug-12 +Access Bank,Champlin,MN,16476,PrinsBank,7-May-10,5-Feb-15 +The Bank of Bonifay,Bonifay,FL,14246,First Federal Bank of Florida,7-May-10,5-Nov-12 +Frontier Bank,Everett,WA,22710,"Union Bank, N.A.",30-Apr-10,15-Jan-13 +BC National Banks,Butler,MO,17792,Community First Bank,30-Apr-10,23-Aug-12 +Champion Bank,Creve Coeur,MO,58362,BankLiberty,30-Apr-10,6-Jun-16 +CF Bancorp,Port Huron,MI,30005,First Michigan Bank,30-Apr-10,13-Apr-16 +Westernbank Puerto Rico,Mayaguez,PR,31027,Banco Popular de Puerto Rico,30-Apr-10,21-Mar-14 +R-G Premier Bank of Puerto Rico,Hato Rey,PR,32185,Scotiabank de Puerto Rico,30-Apr-10,5-Aug-15 +Eurobank,San Juan,PR,27150,Oriental Bank and Trust,30-Apr-10,21-Mar-14 +Wheatland Bank,Naperville,IL,58429,Wheaton Bank & Trust,23-Apr-10,23-Aug-12 +Peotone Bank and Trust Company,Peotone,IL,10888,First Midwest Bank,23-Apr-10,23-Aug-12 +Lincoln Park Savings Bank,Chicago,IL,30600,Northbrook Bank & Trust Company,23-Apr-10,23-Aug-12 +New Century Bank,Chicago,IL,34821,"MB Financial Bank, N.A.",23-Apr-10,23-Aug-12 +Citizens Bank and Trust Company of Chicago,Chicago,IL,34658,Republic Bank of Chicago,23-Apr-10,5-Jun-14 +Broadway Bank,Chicago,IL,22853,"MB Financial Bank, N.A.",23-Apr-10,23-Aug-12 +"Amcore Bank, National Association",Rockford,IL,3735,Harris N.A.,23-Apr-10,23-Aug-12 +City Bank,Lynnwood,WA,21521,Whidbey Island Bank,16-Apr-10,14-Sep-12 +Tamalpais Bank,San Rafael,CA,33493,"Union Bank, N.A.",16-Apr-10,23-Aug-12 +Innovative Bank,Oakland,CA,23876,Center Bank,16-Apr-10,23-Aug-12 +Butler Bank,Lowell,MA,26619,People's United Bank,16-Apr-10,23-Aug-12 +Riverside National Bank of Florida,Fort Pierce,FL,24067,"TD Bank, N.A.",16-Apr-10,21-Mar-14 +AmericanFirst Bank,Clermont,FL,57724,"TD Bank, N.A.",16-Apr-10,21-Mar-14 +First Federal Bank of North Florida,Palatka,FL,28886,"TD Bank, N.A.",16-Apr-10,21-Mar-14 +Lakeside Community Bank,Sterling Heights,MI,34878,No Acquirer,16-Apr-10,23-Aug-12 +Beach First National Bank,Myrtle Beach,SC,34242,Bank of North Carolina,9-Apr-10,21-Mar-14 +Desert Hills Bank,Phoenix,AZ,57060,New York Community Bank,26-Mar-10,23-Aug-12 +Unity National Bank,Cartersville,GA,34678,Bank of the Ozarks,26-Mar-10,21-Sep-15 +Key West Bank,Key West,FL,34684,Centennial Bank,26-Mar-10,9-Feb-17 +McIntosh Commercial Bank,Carrollton,GA,57399,CharterBank,26-Mar-10,11-Jul-16 +State Bank of Aurora,Aurora,MN,8221,Northern State Bank,19-Mar-10,8-Aug-16 +First Lowndes Bank,Fort Deposit,AL,24957,First Citizens Bank,19-Mar-10,21-Mar-14 +Bank of Hiawassee,Hiawassee,GA,10054,Citizens South Bank,19-Mar-10,21-Mar-14 +Appalachian Community Bank,Ellijay,GA,33989,Community & Southern Bank,19-Mar-10,21-Mar-14 +Advanta Bank Corp.,Draper,UT,33535,No Acquirer,19-Mar-10,31-Mar-16 +Century Security Bank,Duluth,GA,58104,Bank of Upson,19-Mar-10,13-Apr-16 +American National Bank,Parma,OH,18806,The National Bank and Trust Company,19-Mar-10,21-Sep-15 +Statewide Bank,Covington,LA,29561,Home Bank,12-Mar-10,23-Aug-12 +Old Southern Bank,Orlando,FL,58182,Centennial Bank,12-Mar-10,9-Feb-17 +The Park Avenue Bank,New York,NY,27096,Valley National Bank,12-Mar-10,23-Aug-12 +LibertyPointe Bank,New York,NY,58071,Valley National Bank,11-Mar-10,23-Aug-12 +Centennial Bank,Ogden,UT,34430,No Acquirer,5-Mar-10,14-Sep-12 +Waterfield Bank,Germantown,MD,34976,No Acquirer,5-Mar-10,23-Aug-12 +Bank of Illinois,Normal,IL,9268,Heartland Bank and Trust Company,5-Mar-10,23-Aug-12 +Sun American Bank,Boca Raton,FL,27126,First-Citizens Bank & Trust Company,5-Mar-10,21-Mar-14 +Rainier Pacific Bank,Tacoma,WA,38129,Umpqua Bank,26-Feb-10,23-Aug-12 +Carson River Community Bank,Carson City,NV,58352,Heritage Bank of Nevada,26-Feb-10,15-Jan-13 +"La Jolla Bank, FSB",La Jolla,CA,32423,"OneWest Bank, FSB",19-Feb-10,24-Aug-12 +George Washington Savings Bank,Orland Park,IL,29952,"FirstMerit Bank, N.A.",19-Feb-10,24-Aug-12 +The La Coste National Bank,La Coste,TX,3287,Community National Bank,19-Feb-10,19-Aug-14 +Marco Community Bank,Marco Island,FL,57586,Mutual of Omaha Bank,19-Feb-10,21-Mar-14 +1st American State Bank of Minnesota,Hancock,MN,15448,"Community Development Bank, FSB",5-Feb-10,1-Nov-13 +American Marine Bank,Bainbridge Island,WA,16730,Columbia State Bank,29-Jan-10,24-Aug-12 +First Regional Bank,Los Angeles,CA,23011,First-Citizens Bank & Trust Company,29-Jan-10,4-Mar-16 +Community Bank and Trust,Cornelia,GA,5702,SCBT National Association,29-Jan-10,13-Apr-16 +"Marshall Bank, N.A.",Hallock,MN,16133,United Valley Bank,29-Jan-10,23-Aug-12 +Florida Community Bank,Immokalee,FL,5672,"Premier American Bank, N.A.",29-Jan-10,21-Mar-14 +First National Bank of Georgia,Carrollton,GA,16480,Community & Southern Bank,29-Jan-10,21-Mar-14 +Columbia River Bank,The Dalles,OR,22469,Columbia State Bank,22-Jan-10,14-Sep-12 +Evergreen Bank,Seattle,WA,20501,Umpqua Bank,22-Jan-10,15-Jan-13 +Charter Bank,Santa Fe,NM,32498,Charter Bank,22-Jan-10,23-Aug-12 +Bank of Leeton,Leeton,MO,8265,"Sunflower Bank, N.A.",22-Jan-10,15-Jan-13 +Premier American Bank,Miami,FL,57147,"Premier American Bank, N.A.",22-Jan-10,21-Sep-15 +Barnes Banking Company,Kaysville,UT,1252,No Acquirer,15-Jan-10,23-Aug-12 +St. Stephen State Bank,St. Stephen,MN,17522,First State Bank of St. Joseph,15-Jan-10,8-Aug-16 +Town Community Bank & Trust,Antioch,IL,34705,First American Bank,15-Jan-10,23-Aug-12 +Horizon Bank,Bellingham,WA,22977,Washington Federal Savings and Loan Association,8-Jan-10,23-Aug-12 +"First Federal Bank of California, F.S.B.",Santa Monica,CA,28536,"OneWest Bank, FSB",18-Dec-09,23-Aug-12 +Imperial Capital Bank,La Jolla,CA,26348,City National Bank,18-Dec-09,5-Sep-12 +Independent Bankers' Bank,Springfield,IL,26820,The Independent BankersBank (TIB),18-Dec-09,23-Aug-12 +New South Federal Savings Bank,Irondale,AL,32276,Beal Bank,18-Dec-09,23-Aug-12 +Citizens State Bank,New Baltimore,MI,1006,No Acquirer,18-Dec-09,21-Mar-14 +Peoples First Community Bank,Panama City,FL,32167,Hancock Bank,18-Dec-09,5-Nov-12 +RockBridge Commercial Bank,Atlanta,GA,58315,No Acquirer,18-Dec-09,21-Mar-14 +SolutionsBank,Overland Park,KS,4731,Arvest Bank,11-Dec-09,19-Jul-16 +"Valley Capital Bank, N.A.",Mesa,AZ,58399,Enterprise Bank & Trust,11-Dec-09,20-Oct-16 +"Republic Federal Bank, N.A.",Miami,FL,22846,1st United Bank,11-Dec-09,21-Mar-14 +Greater Atlantic Bank,Reston,VA,32583,Sonabank,4-Dec-09,21-Mar-14 +Benchmark Bank,Aurora,IL,10440,"MB Financial Bank, N.A.",4-Dec-09,23-Aug-12 +AmTrust Bank,Cleveland,OH,29776,New York Community Bank,4-Dec-09,21-Mar-14 +The Tattnall Bank,Reidsville,GA,12080,Heritage Bank of the South,4-Dec-09,21-Mar-14 +First Security National Bank,Norcross,GA,26290,State Bank and Trust Company,4-Dec-09,17-Oct-15 +The Buckhead Community Bank,Atlanta,GA,34663,State Bank and Trust Company,4-Dec-09,21-Mar-14 +Commerce Bank of Southwest Florida,Fort Myers,FL,58016,Central Bank,20-Nov-09,21-Mar-14 +Pacific Coast National Bank,San Clemente,CA,57914,Sunwest Bank,13-Nov-09,10-Apr-17 +Orion Bank,Naples,FL,22427,IBERIABANK,13-Nov-09,21-Mar-14 +"Century Bank, F.S.B.",Sarasota,FL,32267,IBERIABANK,13-Nov-09,21-Mar-14 +United Commercial Bank,San Francisco,CA,32469,East West Bank,6-Nov-09,5-Nov-12 +Gateway Bank of St. Louis,St. Louis,MO,19450,Central Bank of Kansas City,6-Nov-09,22-Aug-12 +Prosperan Bank,Oakdale,MN,35074,"Alerus Financial, N.A.",6-Nov-09,22-Aug-12 +Home Federal Savings Bank,Detroit,MI,30329,Liberty Bank and Trust Company,6-Nov-09,22-Aug-12 +United Security Bank,Sparta,GA,22286,Ameris Bank,6-Nov-09,21-Mar-14 +North Houston Bank,Houston,TX,18776,U.S. Bank N.A.,30-Oct-09,22-Aug-12 +Madisonville State Bank,Madisonville,TX,33782,U.S. Bank N.A.,30-Oct-09,22-Aug-12 +Citizens National Bank,Teague,TX,25222,U.S. Bank N.A.,30-Oct-09,22-Aug-12 +Park National Bank,Chicago,IL,11677,U.S. Bank N.A.,30-Oct-09,22-Aug-12 +Pacific National Bank,San Francisco,CA,30006,U.S. Bank N.A.,30-Oct-09,22-Aug-12 +California National Bank,Los Angeles,CA,34659,U.S. Bank N.A.,30-Oct-09,5-Sep-12 +San Diego National Bank,San Diego,CA,23594,U.S. Bank N.A.,30-Oct-09,22-Aug-12 +Community Bank of Lemont,Lemont,IL,35291,U.S. Bank N.A.,30-Oct-09,15-Jan-13 +"Bank USA, N.A.",Phoenix,AZ,32218,U.S. Bank N.A.,30-Oct-09,22-Aug-12 +First DuPage Bank,Westmont,IL,35038,First Midwest Bank,23-Oct-09,22-Aug-12 +Riverview Community Bank,Otsego,MN,57525,Central Bank,23-Oct-09,22-Aug-12 +Bank of Elmwood,Racine,WI,18321,Tri City National Bank,23-Oct-09,22-Aug-12 +Flagship National Bank,Bradenton,FL,35044,First Federal Bank of Florida,23-Oct-09,5-Feb-15 +Hillcrest Bank Florida,Naples,FL,58336,Stonegate Bank,23-Oct-09,22-Aug-12 +American United Bank,Lawrenceville,GA,57794,Ameris Bank,23-Oct-09,5-Sep-12 +Partners Bank,Naples,FL,57959,Stonegate Bank,23-Oct-09,5-Feb-15 +San Joaquin Bank,Bakersfield,CA,23266,Citizens Business Bank,16-Oct-09,22-Aug-12 +Southern Colorado National Bank,Pueblo,CO,57263,Legacy Bank,2-Oct-09,12-Dec-16 +Jennings State Bank,Spring Grove,MN,11416,Central Bank,2-Oct-09,21-Aug-12 +Warren Bank,Warren,MI,34824,The Huntington National Bank,2-Oct-09,21-Aug-12 +Georgian Bank,Atlanta,GA,57151,"First Citizens Bank and Trust Company, Inc.",25-Sep-09,21-Aug-12 +"Irwin Union Bank, F.S.B.",Louisville,KY,57068,"First Financial Bank, N.A.",18-Sep-09,5-Sep-12 +Irwin Union Bank and Trust Company,Columbus,IN,10100,"First Financial Bank, N.A.",18-Sep-09,21-Aug-12 +Venture Bank,Lacey,WA,22868,First-Citizens Bank & Trust Company,11-Sep-09,21-Aug-12 +Brickwell Community Bank,Woodbury,MN,57736,CorTrust Bank N.A.,11-Sep-09,20-Oct-16 +"Corus Bank, N.A.",Chicago,IL,13693,"MB Financial Bank, N.A.",11-Sep-09,21-Aug-12 +First State Bank,Flagstaff,AZ,34875,Sunwest Bank,4-Sep-09,5-Feb-15 +Platinum Community Bank,Rolling Meadows,IL,35030,No Acquirer,4-Sep-09,21-Aug-12 +Vantus Bank,Sioux City,IA,27732,Great Southern Bank,4-Sep-09,21-Aug-12 +InBank,Oak Forest,IL,20203,"MB Financial Bank, N.A.",4-Sep-09,17-Oct-15 +First Bank of Kansas City,Kansas City,MO,25231,Great American Bank,4-Sep-09,21-Aug-12 +Affinity Bank,Ventura,CA,27197,Pacific Western Bank,28-Aug-09,21-Aug-12 +Mainstreet Bank,Forest Lake,MN,1909,Central Bank,28-Aug-09,21-Aug-12 +Bradford Bank,Baltimore,MD,28312,Manufacturers and Traders Trust Company (M&T Bank),28-Aug-09,15-Jan-13 +Guaranty Bank,Austin,TX,32618,BBVA Compass,21-Aug-09,21-Aug-12 +CapitalSouth Bank,Birmingham,AL,22130,IBERIABANK,21-Aug-09,15-Jan-13 +First Coweta Bank,Newnan,GA,57702,United Bank,21-Aug-09,7-Dec-15 +ebank,Atlanta,GA,34682,"Stearns Bank, N.A.",21-Aug-09,21-Aug-12 +Community Bank of Nevada,Las Vegas,NV,34043,No Acquirer,14-Aug-09,21-Aug-12 +Community Bank of Arizona,Phoenix,AZ,57645,MidFirst Bank,14-Aug-09,21-Aug-12 +"Union Bank, National Association",Gilbert,AZ,34485,MidFirst Bank,14-Aug-09,21-Aug-12 +Colonial Bank,Montgomery,AL,9609,"Branch Banking & Trust Company, (BB&T)",14-Aug-09,12-Jun-14 +Dwelling House Savings and Loan Association,Pittsburgh,PA,31559,"PNC Bank, N.A.",14-Aug-09,15-Jan-13 +Community First Bank,Prineville,OR,23268,Home Federal Bank,7-Aug-09,15-Jan-13 +Community National Bank of Sarasota County,Venice,FL,27183,"Stearns Bank, N.A.",7-Aug-09,20-Aug-12 +First State Bank,Sarasota,FL,27364,"Stearns Bank, N.A.",7-Aug-09,20-Aug-12 +Mutual Bank,Harvey,IL,18659,United Central Bank,31-Jul-09,20-Aug-12 +First BankAmericano,Elizabeth,NJ,34270,Crown Bank,31-Jul-09,20-Aug-12 +Peoples Community Bank,West Chester,OH,32288,"First Financial Bank, N.A.",31-Jul-09,20-Aug-12 +Integrity Bank,Jupiter,FL,57604,Stonegate Bank,31-Jul-09,20-Aug-12 +First State Bank of Altus,Altus,OK,9873,Herring Bank,31-Jul-09,20-Aug-12 +Security Bank of Jones County,Gray,GA,8486,State Bank and Trust Company,24-Jul-09,20-Aug-12 +Security Bank of Houston County,Perry,GA,27048,State Bank and Trust Company,24-Jul-09,17-Oct-15 +Security Bank of Bibb County,Macon,GA,27367,State Bank and Trust Company,24-Jul-09,20-Aug-12 +Security Bank of North Metro,Woodstock,GA,57105,State Bank and Trust Company,24-Jul-09,6-Jan-16 +Security Bank of North Fulton,Alpharetta,GA,57430,State Bank and Trust Company,24-Jul-09,20-Aug-12 +Security Bank of Gwinnett County,Suwanee,GA,57346,State Bank and Trust Company,24-Jul-09,20-Aug-12 +Waterford Village Bank,Williamsville,NY,58065,"Evans Bank, N.A.",24-Jul-09,1-Nov-13 +Temecula Valley Bank,Temecula,CA,34341,First-Citizens Bank & Trust Company,17-Jul-09,20-Oct-16 +Vineyard Bank,Rancho Cucamonga,CA,23556,California Bank & Trust,17-Jul-09,20-Aug-12 +BankFirst,Sioux Falls,SD,34103,"Alerus Financial, N.A.",17-Jul-09,20-Aug-12 +First Piedmont Bank,Winder,GA,34594,First American Bank and Trust Company,17-Jul-09,8-Aug-16 +Bank of Wyoming,Thermopolis,WY,22754,Central Bank & Trust,10-Jul-09,20-Aug-12 +Founders Bank,Worth,IL,18390,The PrivateBank and Trust Company,2-Jul-09,20-Aug-12 +Millennium State Bank of Texas,Dallas,TX,57667,State Bank of Texas,2-Jul-09,26-Oct-12 +First National Bank of Danville,Danville,IL,3644,"First Financial Bank, N.A.",2-Jul-09,20-Aug-12 +Elizabeth State Bank,Elizabeth,IL,9262,Galena State Bank and Trust Company,2-Jul-09,20-Aug-12 +Rock River Bank,Oregon,IL,15302,The Harvard State Bank,2-Jul-09,20-Aug-12 +First State Bank of Winchester,Winchester,IL,11710,The First National Bank of Beardstown,2-Jul-09,20-Aug-12 +John Warner Bank,Clinton,IL,12093,State Bank of Lincoln,2-Jul-09,20-Aug-12 +Mirae Bank,Los Angeles,CA,57332,Wilshire State Bank,26-Jun-09,20-Aug-12 +MetroPacific Bank,Irvine,CA,57893,Sunwest Bank,26-Jun-09,5-Feb-15 +Horizon Bank,Pine City,MN,9744,"Stearns Bank, N.A.",26-Jun-09,5-Feb-15 +Neighborhood Community Bank,Newnan,GA,35285,CharterBank,26-Jun-09,7-Dec-15 +Community Bank of West Georgia,Villa Rica,GA,57436,No Acquirer,26-Jun-09,17-Aug-12 +First National Bank of Anthony,Anthony,KS,4614,Bank of Kansas,19-Jun-09,21-Sep-15 +Cooperative Bank,Wilmington,NC,27837,First Bank,19-Jun-09,17-Aug-12 +Southern Community Bank,Fayetteville,GA,35251,United Community Bank,19-Jun-09,21-Sep-15 +Bank of Lincolnwood,Lincolnwood,IL,17309,Republic Bank of Chicago,5-Jun-09,17-Aug-12 +Citizens National Bank,Macomb,IL,5757,Morton Community Bank,22-May-09,4-Sep-12 +Strategic Capital Bank,Champaign,IL,35175,Midland States Bank,22-May-09,4-Sep-12 +"BankUnited, FSB",Coral Gables,FL,32247,BankUnited,21-May-09,17-Aug-12 +Westsound Bank,Bremerton,WA,34843,Kitsap Bank,8-May-09,4-Sep-12 +America West Bank,Layton,UT,35461,Cache Valley Bank,1-May-09,17-Aug-12 +Citizens Community Bank,Ridgewood,NJ,57563,North Jersey Community Bank,1-May-09,4-Sep-12 +"Silverton Bank, NA",Atlanta,GA,26535,No Acquirer,1-May-09,17-Aug-12 +First Bank of Idaho,Ketchum,ID,34396,"U.S. Bank, N.A.",24-Apr-09,17-Aug-12 +First Bank of Beverly Hills,Calabasas,CA,32069,No Acquirer,24-Apr-09,4-Sep-12 +Michigan Heritage Bank,Farmington Hills,MI,34369,Level One Bank,24-Apr-09,17-Aug-12 +American Southern Bank,Kennesaw,GA,57943,Bank of North Georgia,24-Apr-09,17-Aug-12 +Great Basin Bank of Nevada,Elko,NV,33824,Nevada State Bank,17-Apr-09,4-Sep-12 +American Sterling Bank,Sugar Creek,MO,8266,Metcalf Bank,17-Apr-09,31-Aug-12 +New Frontier Bank,Greeley,CO,34881,No Acquirer,10-Apr-09,4-Sep-12 +Cape Fear Bank,Wilmington,NC,34639,First Federal Savings and Loan Association,10-Apr-09,10-Apr-17 +Omni National Bank,Atlanta,GA,22238,No Acquirer,27-Mar-09,17-Aug-12 +"TeamBank, NA",Paola,KS,4754,Great Southern Bank,20-Mar-09,12-Sep-16 +Colorado National Bank,Colorado Springs,CO,18896,Herring Bank,20-Mar-09,12-Dec-16 +FirstCity Bank,Stockbridge,GA,18243,No Acquirer,20-Mar-09,17-Aug-12 +Freedom Bank of Georgia,Commerce,GA,57558,Northeast Georgia Bank,6-Mar-09,17-Aug-12 +Security Savings Bank,Henderson,NV,34820,Bank of Nevada,27-Feb-09,7-Sep-12 +Heritage Community Bank,Glenwood,IL,20078,"MB Financial Bank, N.A.",27-Feb-09,17-Aug-12 +Silver Falls Bank,Silverton,OR,35399,Citizens Bank,20-Feb-09,17-Aug-12 +Pinnacle Bank of Oregon,Beaverton,OR,57342,Washington Trust Bank of Spokane,13-Feb-09,7-Dec-15 +Corn Belt Bank & Trust Co.,Pittsfield,IL,16500,The Carlinville National Bank,13-Feb-09,17-Aug-12 +Riverside Bank of the Gulf Coast,Cape Coral,FL,34563,TIB Bank,13-Feb-09,17-Aug-12 +Sherman County Bank,Loup City,NE,5431,Heritage Bank,13-Feb-09,17-Aug-12 +County Bank,Merced,CA,22574,Westamerica Bank,6-Feb-09,4-Sep-12 +Alliance Bank,Culver City,CA,23124,California Bank & Trust,6-Feb-09,16-Aug-12 +FirstBank Financial Services,McDonough,GA,57017,Regions Bank,6-Feb-09,16-Aug-12 +Ocala National Bank,Ocala,FL,26538,"CenterState Bank of Florida, N.A.",30-Jan-09,4-Sep-12 +Suburban FSB,Crofton,MD,30763,Bank of Essex,30-Jan-09,4-Feb-16 +MagnetBank,Salt Lake City,UT,58001,No Acquirer,30-Jan-09,16-Aug-12 +1st Centennial Bank,Redlands,CA,33025,First California Bank,23-Jan-09,13-Apr-16 +Bank of Clark County,Vancouver,WA,34959,Umpqua Bank,16-Jan-09,16-Aug-12 +National Bank of Commerce,Berkeley,IL,19733,Republic Bank of Chicago,16-Jan-09,16-Aug-12 +Sanderson State Bank,Sanderson,TX,11568,The Pecos County State Bank,12-Dec-08,25-Oct-13 +Haven Trust Bank,Duluth,GA,35379,"Branch Banking & Trust Company, (BB&T)",12-Dec-08,16-Aug-12 +First Georgia Community Bank,Jackson,GA,34301,United Bank,5-Dec-08,16-Aug-12 +PFF Bank & Trust,Pomona,CA,28344,"U.S. Bank, N.A.",21-Nov-08,4-Jan-13 +Downey Savings & Loan,Newport Beach,CA,30968,"U.S. Bank, N.A.",21-Nov-08,4-Jan-13 +Community Bank,Loganville,GA,16490,Bank of Essex,21-Nov-08,4-Sep-12 +Security Pacific Bank,Los Angeles,CA,23595,Pacific Western Bank,7-Nov-08,28-Aug-12 +"Franklin Bank, SSB",Houston,TX,26870,Prosperity Bank,7-Nov-08,16-Aug-12 +Freedom Bank,Bradenton,FL,57930,Fifth Third Bank,31-Oct-08,16-Aug-12 +Alpha Bank & Trust,Alpharetta,GA,58241,"Stearns Bank, N.A.",24-Oct-08,16-Aug-12 +Meridian Bank,Eldred,IL,13789,National Bank,10-Oct-08,31-May-12 +Main Street Bank,Northville,MI,57654,Monroe Bank & Trust,10-Oct-08,1-Aug-13 +Washington Mutual Bank (Including its subsidiary Washington Mutual Bank FSB),Henderson,NV,32633,JP Morgan Chase Bank,25-Sep-08,4-Aug-15 +Ameribank,Northfork,WV,6782,"The Citizens Savings Bank, Pioneer Community Bank, Inc.",19-Sep-08,21-Sep-15 +Silver State Bank,Henderson,NV,34194,Nevada State Bank,5-Sep-08,25-Oct-13 +Integrity Bank,Alpharetta,GA,35469,Regions Bank,29-Aug-08,16-Aug-12 +Columbian Bank & Trust,Topeka,KS,22728,Citizens Bank & Trust,22-Aug-08,26-Mar-15 +First Priority Bank,Bradenton,FL,57523,SunTrust Bank,1-Aug-08,12-Dec-16 +"First Heritage Bank, NA",Newport Beach,CA,57961,Mutual of Omaha Bank,25-Jul-08,12-Sep-16 +First National Bank of Nevada,Reno,NV,27011,Mutual of Omaha Bank,25-Jul-08,28-Aug-12 +IndyMac Bank,Pasadena,CA,29730,"OneWest Bank, FSB",11-Jul-08,22-Apr-15 +"First Integrity Bank, NA",Staples,MN,12736,First International Bank and Trust,30-May-08,20-Oct-16 +"ANB Financial, NA",Bentonville,AR,33901,Pulaski Bank and Trust Company,9-May-08,28-Aug-12 +Hume Bank,Hume,MO,1971,Security Bank,7-Mar-08,28-Aug-12 +Douglass National Bank,Kansas City,MO,24660,Liberty Bank and Trust Company,25-Jan-08,26-Oct-12 +Miami Valley Bank,Lakeview,OH,16848,The Citizens Banking Company,4-Oct-07,12-Sep-16 +NetBank,Alpharetta,GA,32575,ING DIRECT,28-Sep-07,28-Aug-12 +Metropolitan Savings Bank,Pittsburgh,PA,35353,Allegheny Valley Bank of Pittsburgh,2-Feb-07,27-Oct-10 +Bank of Ephraim,Ephraim,UT,1249,Far West Bank,25-Jun-04,9-Apr-08 +Reliance Bank,White Plains,NY,26778,Union State Bank,19-Mar-04,9-Apr-08 +Guaranty National Bank of Tallahassee,Tallahassee,FL,26838,Hancock Bank of Florida,12-Mar-04,5-Jun-12 +Dollar Savings Bank,Newark,NJ,31330,No Acquirer,14-Feb-04,9-Apr-08 +Pulaski Savings Bank,Philadelphia,PA,27203,Earthstar Bank,14-Nov-03,22-Jul-05 +First National Bank of Blanchardville,Blanchardville,WI,11639,The Park Bank,9-May-03,5-Jun-12 +Southern Pacific Bank,Torrance,CA,27094,Beal Bank,7-Feb-03,20-Oct-08 +Farmers Bank of Cheneyville,Cheneyville,LA,16445,Sabine State Bank & Trust,17-Dec-02,20-Oct-04 +Bank of Alamo,Alamo,TN,9961,No Acquirer,8-Nov-02,18-Mar-05 +AmTrade International Bank,Atlanta,GA,33784,No Acquirer,30-Sep-02,11-Sep-06 +Connecticut Bank of Commerce,Stamford,CT,19183,Hudson United Bank,26-Jun-02,14-Feb-12 +New Century Bank,Shelby Township,MI,34979,No Acquirer,28-Mar-02,18-Mar-05 +Net 1st National Bank,Boca Raton,FL,26652,Bank Leumi USA,1-Mar-02,9-Apr-08 +"NextBank, NA",Phoenix,AZ,22314,No Acquirer,7-Feb-02,5-Feb-15 +Oakwood Deposit Bank Co.,Oakwood,OH,8966,The State Bank & Trust Company,1-Feb-02,25-Oct-12 +Bank of Sierra Blanca,Sierra Blanca,TX,22002,The Security State Bank of Pecos,18-Jan-02,6-Nov-03 +"Hamilton Bank, NA",Miami,FL,24382,Israel Discount Bank of New York,11-Jan-02,21-Sep-15 +"Superior Bank, FSB",Hinsdale,IL,32646,"Superior Federal, FSB",27-Jul-01,19-Aug-14 +Malta National Bank,Malta,OH,6629,North Valley Bank,3-May-01,18-Nov-02 +First Alliance Bank & Trust Co.,Manchester,NH,34264,Southern New Hampshire Bank & Trust,2-Feb-01,18-Feb-03 +National State Bank of Metropolis,Metropolis,IL,3815,Banterra Bank of Marion,14-Dec-00,17-Mar-05 +Bank of Honolulu,Honolulu,HI,21029,Bank of the Orient,13-Oct-00,17-Mar-05 diff --git a/03-Pandas/example b/03-Pandas/example new file mode 100644 index 0000000..d5ae3e8 --- /dev/null +++ b/03-Pandas/example @@ -0,0 +1,5 @@ +a,b,c,d +0,1,2,3 +4,5,6,7 +8,9,10,11 +12,13,14,15 diff --git a/03-Pandas/example.csv b/03-Pandas/example.csv new file mode 100644 index 0000000..d5ae3e8 --- /dev/null +++ b/03-Pandas/example.csv @@ -0,0 +1,5 @@ +a,b,c,d +0,1,2,3 +4,5,6,7 +8,9,10,11 +12,13,14,15 diff --git a/04-Visualisation-Matplotlib-Pandas/04-01-Matplotlib/(Optionnel - Pas de vidéo) - Matplotlib avancé.ipynb b/04-Visualisation-Matplotlib-Pandas/04-01-Matplotlib/(Optionnel - Pas de vidéo) - Matplotlib avancé.ipynb new file mode 100644 index 0000000..7f64ac3 --- /dev/null +++ b/04-Visualisation-Matplotlib-Pandas/04-01-Matplotlib/(Optionnel - Pas de vidéo) - Matplotlib avancé.ipynb @@ -0,0 +1,1039 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Matplotlib (Avancé)\n", + "\n", + "Dans ce notebook, nous abordons des sujets plus avancés que vous n'utiliserez généralement pas très souvent. Vous pouvez toujours consulter la documentation pour plus de ressources! " + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [], + "source": [ + "import matplotlib.pyplot as plt\n", + "%matplotlib inline" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "x = np.linspace(0, 5, 11)\n", + "y = x ** 2" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Échelle logarithmique" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Il est également possible de définir une échelle logarithmique pour un ou les deux axes. Cette fonctionnalité n'est en fait qu'une application d'un système de transformation plus général dans Matplotlib. Les échelles de chacun des axes sont réglées séparément à l'aide des méthodes `set_xscale` et `set_yscale` qui acceptent un paramètre (avec la valeur \"log\" dans ce cas):" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig, axes = plt.subplots(1, 2, figsize=(10,4))\n", + " \n", + "axes[0].plot(x, x**2, x, np.exp(x))\n", + "axes[0].set_title(\"Normal scale\")\n", + "\n", + "axes[1].plot(x, x**2, x, np.exp(x))\n", + "axes[1].set_yscale(\"log\")\n", + "axes[1].set_title(\"Logarithmic scale (y)\");" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Emplacement des coches sur l'axes et libellés personnalisés" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Nous pouvons déterminer explicitement où nous voulons le coche des axes avec `set_xticks` et `set_yticks`, qui prennent toutes les deux une liste de valeurs pour l'endroit sur l'axe où les coches doivent être placées. Nous pouvons également utiliser les méthodes `set_xticklabels` et `set_yticklabels` pour fournir une liste d'étiquettes de texte personnalisées pour chaque emplacement de coche:" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(figsize=(10, 4))\n", + "\n", + "ax.plot(x, x**2, x, x**3, lw=2)\n", + "\n", + "ax.set_xticks([1, 2, 3, 4, 5])\n", + "ax.set_xticklabels([r'$\\alpha$', r'$\\beta$', r'$\\gamma$', r'$\\delta$', r'$\\epsilon$'], fontsize=18)\n", + "\n", + "yticks = [0, 50, 100, 150]\n", + "ax.set_yticks(yticks)\n", + "ax.set_yticklabels([\"$%.1f$\" % y for y in yticks], fontsize=18); # utiliser des étiquettes formatées LaTeX" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Il existe un certain nombre de méthodes plus avancées pour contrôler le placement des tiques majeures et mineures dans les figures matplotlib, comme le placement automatique en fonction de différentes règles. Voir http://matplotlib.org/api/ticker_api.html pour plus de détails." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Notation Scientifique" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Avec de grands nombres sur les axes, il est souvent préférable d'utiliser la notation scientifique:" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(1, 1)\n", + " \n", + "ax.plot(x, x**2, x, np.exp(x))\n", + "ax.set_title(\"scientific notation\")\n", + "\n", + "ax.set_yticks([0, 50, 100, 150])\n", + "\n", + "from matplotlib import ticker\n", + "formatter = ticker.ScalarFormatter(useMathText=True)\n", + "formatter.set_scientific(True) \n", + "formatter.set_powerlimits((-1,1)) \n", + "ax.yaxis.set_major_formatter(formatter) " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Numéro d'axe et espacement des étiquettes des axes" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# distance entre les axes x et y et les nombres sur les axes\n", + "plt.rcParams['xtick.major.pad'] = 5\n", + "plt.rcParams['ytick.major.pad'] = 5\n", + "\n", + "fig, ax = plt.subplots(1, 1)\n", + " \n", + "ax.plot(x, x**2, x, np.exp(x))\n", + "ax.set_yticks([0, 50, 100, 150])\n", + "\n", + "ax.set_title(\"label and axis spacing\")\n", + "\n", + "# Marge intérieure entre l'étiquette d'axe et les nombres d'axe\n", + "ax.xaxis.labelpad = 5\n", + "ax.yaxis.labelpad = 5\n", + "\n", + "ax.set_xlabel(\"x\")\n", + "ax.set_ylabel(\"y\");" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [], + "source": [ + "# restaurer les valeurs par défaut\n", + "plt.rcParams['xtick.major.pad'] = 3\n", + "plt.rcParams['ytick.major.pad'] = 3" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Réglage de la position des axes" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Malheureusement, lors de la sauvegarde des chiffres, les étiquettes sont parfois découpées et il peut être nécessaire d'ajuster un peu la position des axes. Ceci peut être fait en utilisant `subplots_adjust`:" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(1, 1)\n", + " \n", + "ax.plot(x, x**2, x, np.exp(x))\n", + "ax.set_yticks([0, 50, 100, 150])\n", + "\n", + "ax.set_title(\"title\")\n", + "ax.set_xlabel(\"x\")\n", + "ax.set_ylabel(\"y\")\n", + "\n", + "fig.subplots_adjust(left=0.15, right=.9, bottom=0.1, top=0.9);" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Grille des axes" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Avec la méthode `grid` dans l'objet axis, on peut activer et désactiver les lignes de grille. Nous pouvons aussi personnaliser l'apparence des lignes de la grille en utilisant les mêmes arguments que pour la fonction `plot`:" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig, axes = plt.subplots(1, 2, figsize=(10,3))\n", + "\n", + "# apparence par défaut de la grille\n", + "axes[0].plot(x, x**2, x, x**3, lw=2)\n", + "axes[0].grid(True)\n", + "\n", + "# apparence de grille personnalisée\n", + "axes[1].plot(x, x**2, x, x**3, lw=2)\n", + "axes[1].grid(color='b', alpha=0.5, linestyle='dashed', linewidth=0.5)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Les axes" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Nous pouvons également modifier les propriétés de l'axe:" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(figsize=(6,2))\n", + "\n", + "ax.spines['bottom'].set_color('blue')\n", + "ax.spines['top'].set_color('blue')\n", + "\n", + "ax.spines['right'].set_color('red')\n", + "ax.spines['right'].set_linewidth(2)\n", + "\n", + "# désactiver l'axe gauche\n", + "ax.spines['left'].set_color('None')\n", + "ax.yaxis.tick_right() # traits seulements sur le côté droit" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### 2 axes jumelés" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Il est parfois utile d'avoir deux axes x ou y dans une figure, par exemple, pour tracer des courbes avec différentes unités ensemble. Matplotlib supporte ceci avec les fonctions `twinx` et `twiny`:" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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dyK7AwUABMB/V3LgctiJLnSJ0VqXixUPj9N1Y+VKnc64sqtYx/bnnbIY3eTIcemiUBxk2zLJgate2KeP++ydkrMkUuKVOKzz9JhBZEnw5ds2v+Ka6LOpD+z4+51wmefRR+NvfrKjK2LFwwglRHmDJEjj4YFi71pJZundPyDiTLYCB73tgV+AhIA84EGgN5GCX1sCu/1WL9tC+j885lzEGDrSgJwJDhsQQ9MJrpGvXWmWWbt0SMk4HQDPgH6g+u807InsBh2Eb36Pmgc85lxHGjCmenD3/PJx3XgwHefxxWxvdYw+Lor51IZHmUdZec9WfgJ+AUbEcuNzdKiKcL8K/RLhSZOtAKcL7sZzUOeeS6bPP4K9/tQTMe++F666L4SAzZtiXwTb77bZbPIfotvUMcDEiUS9llme7gU+Em4F+QF2gNzBF5M+1VYD28R6Qc87F05w51kH9jz9sZTLcPCEqGzbARRdZZ9qbb4ZTT433MF1Jqm8AnwGjQtmdcVPejO964FRVrgZaAl8BEyOCn8/znXOB9dNPFqPWrLE9ey+8EOPq5K23woIF0KqVVa/ORCK3IjIXkTmIDEWkFiItEJmGyAJE/o1I/PowiTTBOjacCSxHZCwi9yNyVui92A+9vaxOEfJUqVfitSeBk4ETgcUl3w8Cz+p0zv32G7RrZz1h27e3vXq1YtlRPHq0Rc2aNWH6dDjooLiPNQi2m9VpgeYzoCWqmxAZDnwAnA6MQnUYIi8C36DaP04DGo/Fmq+B1UArYDeKq4T9BnyF6unRHrq8Gd9KEVpEvqBKL2BS6ObJMc65wNmwwfrozZ9vcWrMmBiD3vLlcM019vif/6yyQa+CsoHaiGRje+tWYBOgEaH3BwFnx/F8bYGXUW2N6kmoNsRmgOcADwPTiTGrs7zA9xFWrWUrqtwCfIxXZHHOBczGjTZBmzYN9trL9urtvHMMByoqgiuusK7qp55a3HYoE9km8b7AEizgrcUufa1BtSD0qaVApZYgS1hDyQLVqktRHYPqfah2QrVxLAcuL/D1xGp0bkOVm4DmsZzUOecSYf16OOMMmDDBki7HjYPGMf00As8+awdq0ABeey3Klg1pKVtEZkTcijcpitQHOgMtgMZAHeC0Uo4Rz4ooo4B2cTzen7a7VKnKZrbTC0mVJXEfkXPOxSAvD04/3RomNGpk3dRjriQ2e3Zx+/WBA+2AVV+BqrYp472TgcWorgRAZBS2FLkzItmhWV9TrKRYvPQDRiLyV1T/Hcfjxt6IVoRdRThBhPYixL1DrnPOVdSaNdZTb8oUa4v3ySdw4IExHmzTJrj4Yti82fY/dO4c17GmqSXAUYjsgIgAJ2ENCCZhDQkALoe41mWeD+wNvIXIKEQuRKR5PA4cU61OESpUPFSVqIuHxoNndTqXOVatsqD31Vd2TW/SJGjRovzvlenmm22Zc7/9YOZMqBOc8pWJVG6tTpEHgL9inRJmYe3nmgDDsNqZs4BLUM2P04D+iSWv5AANQq8qxdf+ZmJZncOjPnSMga9CxUNVqfCOexFeBToBuaq0Cr12P3At1t0d4B5VPijvWB74nMsMK1da1/TZs2HvvS3o7blnJQ44diycdhpkZ8PUqdadNkMErkh1JNtOEY4x4dueJLlIdTPgH6psUzxUhFiLh74OPAcMLvH606r0jWWQzrmq65df4KST4LvvbHI2cSI0qUxO4cqVlsUJ8NBDGRX0As+ySpcB7/75miXc5MRyuFgDX5nFQ1WJqXioKpNFPEvUOVe+Zcss6M2fDy1bWiLLHntU4oCqcPXV8OuvcNxxcMcdcRurSxDV1cDEWL4aa3LLM8DFIhVfyqyEniLMFuFVEeon4XzOuQBbssRi0/z51hbv448rGfQAXnoJ3n3XNvy98QZUS8ZPm9uKyEmV+O7J0Xw8psCnyp/FQ0WIa/HQEvoD+2DLpiuAJ8v6oIh0C+8/KSgoKOtjzrk0tnixBb1Fi6B1a1verHSThO+/h9tus8cvvgjNmlV6nC4mYxGZiEinCnVkEKmOyDmIfALl535EimmpU4StioeKMAmYSijLJl7ZnKr8GnHOl4H3yv6sDgAGgCW3xOP8zrngWLjQGscuXQpHHlmJiiyRNm+2rgubNsFll1nvIpcqOcBTwBjgN0QmAF8Ci4BVWFOEXYB9gaOwcmn1gfFEmVMS6zW+19i6eGgO0IHQrn0RKx6qStTFQyOJ0EiVFaGn5wBzKnM851x6+v57OPFEWLECjjkGPvgA6sWjPP4//gGzZtn+h3794nBAFzPVOUAHRI7GOgN1BrqybTUYwXYTjAL6ozo92lPFup1hPTBEle4RrzXF0k0PC91aq1LhYkEiDAWOx/Zr/ArcF3p+KPaH/wh0jwiEZfLtDM5VHXPmWCJLbi4cf7xdittxxzgceNIkO7AIfPoptG0bh4Omr8BtZ7DlzsOwlnjhrgwrsQnQLFSLYj50jIFvKfCQKi/FeuJE8sDnXNXw9de2T+/33+GUU6xD0A47lP+9cq1ebZkxS5fCfffF2J22aglc4EugWLM6E1Y81DnnAGbMsOXN33+3GpxjxsQp6KlC9+4W9I46Cv7+9zgc1KWTWANfP+AQEfxKsHMu7qZOtVXI1autVOaoUTH20yvN4MHwn//YeumQIValxWWUWAPfn8VDRRglwoW++dw5Fw+ffmrLmnl5cN55FqNq1ozTwRctgp497fFzz1mdM5dxYr3GV6HioapEXTw0Hvwan3PpaeJEOPNMayZ70UUwaFAcJ2QFBdC+vU0nL7gAhg2zxBYHZNY1vpgC31YHsD19pRYPjaZIdTx54HMu/Ywfb8uaf/xhJTMHDoxzAZX774cHHrC+RbNnQ30vBBXJA19lD2qlxXJUY6ujVlke+JxLL++/D+eeW9wCr3//ODc8//xzm+2pWmHPE06I48GrhkwKfPH8V+tPqqxOVdBzzqWXt9+Gc86xoNezp1UNi2vQy8uDSy6BoiK4804PeulIpCYiTRCpEY/DVehfLxFiLh4qQlTFQ51zmWP4cDj/fNiyxcplPvtsAi673XijFfls3RoefDDOB3cJJdIakYnAOqwLfLvQ67sj8lG0xanDKvr/VWNFmChCp4p0ZBChugjniBB18VDnXGZ4803o2hUKC+Huu6Fv3wQEvX//27Yv1K5tWxdqxGXC4JJB5FDgU6xRwdZ9WlVzgdrA5bEcuqL5UlsVDxUhYcVDnXNV32uvWfs7Vcs5uffeBAS9JUugRw97/PTTcMABcT6BS7AHgeVY/KkFXFXi/Y+AC2I5cIUCnypzgA4iRFU8VJWoi4c656q2l14qjkePPmqzvbgrLLRuC2vWwFlnWcaMSzftgcdQXY9IaTs5l0DF60FHimqHjCpfAF+EljvLLB6qSszFQ51zVVe/fnDTTfa4b1/o1StBJ3rsMfjkE2jY0PZF+H69dFQLWLud92PuzxHT1lBVCrGlzi9jPbFzLrM8+STcfrs9fvZZyzlJiMGDrd0QwOuvx6FTrUuRRdgEqywnAt/FcuCEbGdwzrlIjz5aHPReeimBQe/99+Gq0KWgp5+Gjh0TdCKXBG8Bl5bI3LTLayK9gI7AG7EcOCEb2FPNN7A7FwyqVizlgQdstfGVV+DKKxN0ss8/tx5GmzZB79623OkqLHAb2G3P3jjgWOB74ADgW+zy2h7ABOD0WPry+YzPOZcQqnDPPRb0srLgjTcSGPTmzoVOnSzoXXWVTTFd/InsjMgIRL5HZB4iRyOyCyITEFkQuo9PLTjVzcApwO3AJuAPYD/gN+BOoFOszWh9xueci7v8fLjmGturV60aDB1qG9UTYskS656+bJkV+xwxwlsNxaBCMz6RQcCnqA4Mzch2AO4BVqHaB5HeQH1U70r8iGPngc85F1crV1oJsilToE4da4LQqVOCTvbbb9CuHcyfb7U4x42zzeouauUGPpF6wDfA3kQGDpH5wPGorkCkEfAxqvsneryV4Uudzrm4+e47OPJIC3pNm9p9woLe+vVwxhkW9A46yFq0e9BLpL2xbWuvITILkYGI1AEaoroCIHS/e9zOKHIRIlMQyUWksJRbQSyH9fUA51xcjBtnbe7y8uDww+Gdd6BRowSdbPNm6NIFvvwSmjeHsWNh550TdLKMkS0iMyKeD1DVAZHvYy3obkR1GiLPAL0TNhqRvwMPAL8CnwOr43XoSgU+EdoAR2LlyUrOHlWVhypzfOdcenjhBduYXlhoXdMHDYIddkjQyYqKrGHf+PG2R2/8eGgcUwEPt7UCVW2znfeXAktRnRZ6PgILfL8i0ihiqTM3TuO5HvgY6IjqljgdE4gx8IlQGytL1gErU6aheyIeK3jgc64qKyiwrgr9+tnzv/+9OIszIVTthEOHwo47wocfwr77JuhkbiuqvyDyMyL7ozofOAnbQP4dViy6T+j+nTidsR4wPN5BD2Kf8d2LBb1HsEKhk7A/OBe4G6uafVk8BuicC6a1a+HCC22VsUYN26N3ySUJPmmfPvDMM1C9ujXyO2x7hT1cAtwIDAlldP4AXImt9g1H5Gqsfma88ndnAc3idKytxJTVKcIC4CtVLhRhV+yC58mqTBQhG5gOjFUlEeVny+VZnc4l1uLFcOaZtn2uQQMYPRqOOSbBJx04EK691nbCDxtmFxRd3ARwA/txwEigA6oz43noWGd8zbA2RQCFofsaAKoUiDAUuA5SE/icc4nz+edw9tm2baFlS3j3Xdh77wSfdPRo6N7dHj/3nAe9TKD6SWgWORWRL4AfKY43f34K1aujPXSsgW9dxHfXAUVs3R5iLVZSxjlXhbz1lhVGyc+HDh2sg/pOOyX4pJMn25pqUZE17rv++gSf0AWCyJHA61isaR+6laRA1IEv1kvQi7DSMeFODXOB8wBEEOBc4OcYj+2cC5hwzLn4Ygt6N9xg9aATHvS++cb66eXn24zv/vsTfEIXIM8AW7D+r7ugmlXKrVosB4418P0X6BLqywfwEtBRhEXAAuBk4JUYj+2cC5BNm6BrV3joIcvW7NfPVhsTXhXshx+su8LatbZn7/nnva9eZjkY6Ivqu6iuieeBY/1Xtw/WDkIAVHlBhFrAJdga7MvA43EZoXMuZX75xcpffvkl1K1rS5tJ6fSTmwunnmoDOOEEGDLEin66TJILbE7Egb1Wp3OuVLNnW7mxn3+24ijvvgutWiXhxHl5FuxmzoScHPj4Y6gXc7NtV0EBzOq8FzgLOArVmEqTlaXSixUi1AQaACtVExOdnXPJ9f77lk+yfr01Pnj7bdg9fhUYy5afbxWuZ86EffaxDeoe9DLVZ0AnLKvzBWAx22Z1gurkaA8c84xPhNZAX6AdUA04JbSPb3dgKPCYKv+N8pivYn9oriqtQq/tAvwbaI6ls16guv2abT7jcy42qvCvf1m39KIiS2YZOBBq1UrCyQsLLdqOGAF77GEVrhO+T8KFBXDGV7LXXslgZRXCYkhwibVk2aHAp1hDwMHY7n0bmZIbKml2OUQX+LDU1edCxwzrDXykSh8ReoeeB7rXk3PpaMsW6NkTBoTKEj/4oJUgS0o+iSrceKMFvXr1rByMB71Ml6i2xTEvdT4ILAdygFrAVSXe/wiIeoepKpNFaF7i5c7A8aHHg7CipR74nIuj1autUexHH9ns7vXX4a9/TeIAHnwQ+veHmjWtvdAhhyTx5C6QVAcl6tCxBr722FLm+tA1vpKWsPWG9spoqMoKAFVWhJZStyEi3YBuADVq1IjTqZ2r+hYutCSW+fOhYUNrJ3TkkUkcwIsv2v68rCwrPn3ccUk8uctEse7jq4VVZylL0q9Gq+oAVW2jqm2yE77ByLmqYfJkC3Lz58PBB9u2haQGvREjiiuxvPiiJbY4l2CxRohFwPbKop+ItaqIh19FaBSa7cWz15NzGe3116FbN7u216mTlSOrWzeJA5g40bJnVOHhh60AtXNhIhMr8ClF9aRoDx3rjO8t4FIRTt5qAIAIvYCO2Ab3eBiDJcpAfHs9OZeRioqgd2+48koLerfeajWgkxr0Zs60nfGbN1tSyz33JPHkLk3sDbQocdsXOBbL+2gV+kzUYm1LVAMYFxrA98ABwLfAblhx6gnA6aqUTEct77hDsT+oATMtKY4AABe5SURBVNZu/j5gNDAc2JNQrydVVm3vOL6dwbnSbdgAl15q+/Kys60KWLduSR7EwoXWwyg317YvDBmSwM61rqICt52hLCI1gduwrM/jUF0R9SEqsY8vG2tKeDFwILanYgG2FeEZVeK60z4aHvic29ayZVbveeZM2Hlnu7x2UtSLRJW0YoUFvcWLrb3Du+9aF1uXcmkT+MJE3gCyUe0a9VejDXyhPXrnA/NVmRbtCZPBA59zW5s50xrHLl9uBVHeew8OOCDJg1izxjI2Z8+Gww+3a3w77pjkQbiypGHg6w48huou0X41lvWFfKwIdU4M33XOJdnQodC+vQW9Y4+FadNSEPQ2bbJrerNnw377WU00D3qucloQaoAeraizOlUpEuFnUrBlwTlXcXl5ljcyOFQH6Yor4KWXUrCyWFAAF11keycaN4bx42G33ZI8CJd2RPYs451dsNZ3N2EFTaIW63aGQVhW5zOq5Md4DOdcgkydajsFfvgBate2+pvXXpuCdnaqcN11lja6884wbhzstVeSB+HS1I9sW58zTLDEyptiOXCsge9zrMv61yK8gCW1bCz5IVWirprtnItdYSE8+ig88IA9zsmx/XlJX9oEC3p//3txlev33ktSXyNXRTzItoFPgVXA/4D/ohrVzoGwWLczVKhqtiop6RzpyS0uE/30E1xyCXz2mT2//XbbF16ztKKCiRbenzdggDWQHT3adsm7wEq75JZKiHXGl7Cq2c656A0bBj16wNq10KiRXdc7+eTyv5cQv/0G550Hn3xiUXfQIA96LlC8A7tzaaxkAkvnzray2KBBigY0Z45tFly82CLw6NFwxBEpGoyLRoVmfCLVgBnAMlQ7IdICGIYlnMwELkU1tobkIpfF9D3VweV/qMSpPPA5l54Ck8ASNmaMDWj9emjTxoJekyYpGoyLVgUD321AG6BeKPANB0ahOgyRF4FvUO0f4wCKsMtm0fwbnLxGtGEitAGOBOqz7Z5AVeWhyhzfObetQCWwgCWx9OkDf/ubPb7wQnj1VYvGruoQaQqcATwC3IaIYA0JLgp9YhBwPxBb4IMTKjvEioq1A3ttYBTQgXD79+IorRGveeBzLo4ClcACtjH9mmss8gI88gjcfXcKp52uErJFZEbE8wGqOiDi+b+AO4FwOfNdgTWohstTLgVin+KrfhLzd6MU64zvXizoPYJ1W5+EdU7IBe4GagOxrdc650oVqAQWsFIwZ58N06dDnTpWbLpz5xQOyFVSgaq2KfUdkU5ALqpfIXJ8+NVSPpkW185iLYl+HvAfVe4F5oReW6bKOGxHfQ3gisoPzzmXlweXXw5du1rQC1f+SmnQmz7d6m1Onw7Nm8MXX3jQq9qOAc5C5EcsmeVEbAa4MyLhCVRTYHlczypSB5EHEJmNyPrQbTYi9yMS89aLWANfMyA8LS0M3dcACHVlGApcGOugnHNm6lS7hjd4sF0ye/FFaymUsqxNsGXNcPHP9u2tbftBB6VwQC7hVO9GtSmqzbHf9omoXoyt9p0X+lR8+6WK7AJ8CfwDa3c3K3RriK06fhn6TNRiDXzrKF4mXQcUAY0j3l8bGqhzLgaFhfDQQ9CunWVtHnoofPUVdO+ewstnRUXWMPbiiyE/31JI//tfr7uZ2e7CEl0WYtf8XonjsR/Eer32BBqh2h7V9lisuQHYH0umiVqslVumAtNVuTH0/BtsqfN0EQQYC7RQZb9YBlVZvp3BpbPAJbAArFtngxozxiqxPP009OzpSSxVSOAqt4gsAT5EtXsZ7w8AOqJaVjHrMsU64/sv0EXkz5JkLwEdRViE1e08mfhGfucywrBhcMghFvQaNbJGBk88keKgt3gxtG1rQW/nnWHsWNs170HPJVZDbGmzLDNDn4larFmdfYA3CGX1qPKCCLWAS7Brfi8Dj8d4bOcyTuAqsIR98gl06QK//w77728d0/fdN8WDchniV7bf9zUn9JmoxTTjU2W9KvNDiSzh155SpbUqh6vyT9X0SGt1LtUCmcACVmD65JMt6HXsaAP1oOeS513gakS6I1Icq0SyEOkGXAWMieXAXrLMuRQpWYHl0EMtYfLAA1M8sIICuPVWeO45e37bbfD443Ztz1VZAbzGtyvwBbAPsBKYH3pnf2A3YCHQFtXfoz60Bz7nkq9kAkuvXlb0JKXX8gBWrYILLoCPPrJW7S+9ZK3bXZUXuMAHIFIPyxw9G2gRevUHYDTwOKp5MR3WA59zyVWyAsugQXDKKakeFTBvnnVWWLgQdt/d1lvbtk31qFySBC7wiVRDtbD8D0Yv1qxO51yUSlZgOessq8ASiKD34Ydw1FEW9A491CqyeNBzqbUckacQOSTeB/bA51yCqdrk6eCDixNY+ve3rj0pT2BRhSeftEaxeXmWwfnZZ7Bn1FujnIu3H4BbgJmIfIPIrYjEtH2hJA98ziXQ3Lk2ozv3XLuul5NjFVh69AjANrj8fLjyStshX1QE998Pw4dbwWnnUk31aGA/4FGsI8STwM+IvIfI+YjEfEXcr/E5lwBr1lgcee45y9isX99KkHXvDtmV6oIZJ7/8YtH4iy9sCjp4MJx3Xvnfc1VW4K7xlSRyHNb1pwtQD1gDDEe1R9SH8sDnXPwUFloP1nvugd9+g6wsC3YPPhiAZc2wWbPsAuPSpdCsGbzzjk1FXUYLfOALE6kFXIzNAOsmvQO7c67YlClWfWVWqMhS+/bw7LOWKxIY//mPZdhs2gRHH20XHxvG5bKJc4knciI26zsX2BGIeg8f+DU+5ypt2TLbk9eunQW9pk1ty8InnwQo6IWv4V1wgQW9K66ASZM86LngEzkAkUcR+QmYAHQFJmJLno23+90y+IzPuRj98Yc1KXjkEdiwwTaf33EH9O4dsPyQ9est0I0caWuvjz9u1VhSnl3j3HaI9MRmd4dhdaFnYcubb6H6W6UOnQ7X+ET4Eev7VwgUqNJme5/3a3wukVStVvNtt8GiRfbaOefYroAWLbb/3aRShREjrCzMzz9DvXo2FT3ttFSPzAVQ4K7xiRQBK4AhwCBU58br0Ok04ztBlUpFeecq6/vv4ZZbYNw4e96yJTzzjNVyDpS5c+2C46RJ9jwnB4YMCUAhUOcq7HRgPKpF8T6wX+NzrgLWrrWJ00EHWdDbaSf417/g668DFvTWrrUC04ccYkFvl12s3cP06R70XHpRHZuIoAfpM+NTYLwICrykyoBUD8hlhqIiq6XZuzfk5tplsWuvtet6u+2W6tFFKDnQrCy4/nrbPLjLLqkenXOBki6B7xhVlouwOzBBhO9VmRz5AbH+TN0AatSokYoxuipm2jRbLZw+3Z63bWvbEw47LLXj2sb06TbQadPsebt20K9fgFJKnQuWtFjqVGV56D4XeBs4YtvP6ABVbaOqbbIDURrDpasVKywJ8qijLKY0bgxvvmklLAMV9FautOnnkUda0GvUyAY6ebIHPee2I/CBT4Q6ItQNPwY6AHNSOypXFW3eDE88AfvtZ6uGNWrA3XfD/Plw8cUByv4vKLBaaPvtBwMHWg20O+4I4ECdC6Z0mBo1BN4O/becDbylytiUjshVOR98YDkh//ufPT/rLNue8Je/pHZc25g8GXr2hG+/tecdOtj66/77p3ZczqWRwAc+VX4A4t6PyTmABQss4L3/vj3ff3/L1uzYMbXj2sayZTarGzrUnjdvbrvnO3f2GZ5LDpFmwGBgD6AIGIDqM4jsAvwbaA78CFyA6upUDbMiAr/U6VwirFsHd90F//d/FvTq1rUZ3uzZAQt6+fnQp49F5KFDoVYteOAB+O47OPtsD3oumQqAXqgeCBwF3IBIS6A38BGq+wIfhZ4HWuBnfM7FU1GR7eO+807rzANw1VXw6KMBLFv5wQe2W37BAnvepYtF5732Su24XGZSXYFVUgHVdYjMA5oAnYHjQ58aBHwM3JX8AVacBz6XETZtgjfesLgRvo535JF2eeyIbXKEU2zRIlt/ffdde37AAbY9IVA75V1GE2kO5ADTgIahoGjBUWT31A2sYjzwuSrtt9+gf3+LGytX2mt77mn98S691PZ5B8bGjfDYY5Zamp9v66/33Wd79Hxvqku8bBGZEfF8gKpuWyxEZEdgJHALqnnpuNzugc9VSYsWWe7Hq6/abA+gdWvLDznvvIB0QQ8rWUwa4LLL7Npeo0apHZvLJAWqut0GAIhUx4LeEFRHhV79FZFGodleIyA3weOstCD95+9cpU2bZhOmUaMsnoA1I7jjDjj++ADmgsydCzfdBBMn2vOcHNuj17ZtasflXEkiArwCzEP1qYh3xgCXA31C9++kYHRRSYu2RNHytkSZpagI3nvPAt5nn9lr1atbc9jbboNWrVI7vlKtXWuNYfv1g8JCq6f56KNwzTVQrVqqR+cyULltiUTaAZ8C32LbGQDuwa7zDQf2BJYA56O6KrGjrRwPfC5t/fEHDB68dcLKTjvBddfZZbHGMfVmTrDSikn36OHFpF3KBa4fXwL5UqdLO7//Di+8YCuCuaGrCXvuaYmQV19tOSGBNHWqbU8IF5M+5hj7I7yupnNJ5YHPpY3SElZycuz63fnnByxhJSwvzzaeDxgAM2faa40a2brsRRcF8KKjc1VfEH8qnNtK2iWsqMKXX1qwGzbMtikA1K8P3bvDPfcEeFrqXNXngc8FUlomrKxZY22BBgwoLiINcNxx1j6oSxcrOeacSykPfC5Q0i5hRRWmTIGXX4bhw+0PAGjQwJr6XXONd05wLmA88LlASLuEld9/twj98sswb17x6yedBN26WdeEmjVTNz7nXJk88LmUSquEFVX4+GMLdiNHWudasOrWV11lEXqffVI6ROdc+YL0s+IyRGGhXbd77jlLWCkKbYU97TS4/XY44YSAJazk5sLrr1u383CnBBEb8LXXQqdOdgHSOZcWPPC5pNiyxSZLI0fC228XL2dWr25lKXv1CljCSlER/Pe/NrsbPRoKCuz1Jk1sZnfVVd4eyLk05YHPJUx+vsWOkSPhnXdgVUQRoxYtoGtXuOGGgCWsLF8Or70Gr7wCixfba1lZcOaZdu2uY8eArb8656Ll/wW7uNq4EcaOtWD33nu2fzvsgAMso79LFytWEpjlzMJCGDfOtiG89549B5vRXX01XHklNG2a2jE65+LGA5+rtLw8eP99C3Yffli8XxvgkEOKg13LlqkbY6l+/tlmdq++WtwOKDsbzj3Xrt2dcooXjHauCvLA52KyejWMGWPBbvx4W9YMO/xw63l37rnwl7+kboyl2rABJkywa3djxxZn1uyzj+25u+IK2GOPlA7ROZdYHvhcheXmWp7HyJHWPi6c7yEC7drZrO7cc23/XWCsWmUppJ9+CpMnW73M8MCrV7c9E9dea6mkgWrH7pxLFA98bruWLbMszBEjLHaEJ0jVqtle7S5d4OyzA9QofPlyC3DhQDdnztbvZ2XBYYdZZs1ll8Fuu6VmnM65lPHA57bx4482qxs5Er74ovj16tXh1FMt2HXubFW5UkrVdsCHg9ynn9rzSDVrwhFHwLHHQvv2cPTRUK9easbrnAsED3wOgPnzi4NduHsOWE3ljh0t2HXqBDvvnLoxUlRkM7jIQLdixdafqVsX2rYtDnSHH+6FoZ1zW/HAl6F++cUC3NSptpQZuSK4445wxhkW7E47zZ6nxJYt8NVXxYFuyhTLqonUoIEFuHCgO+QQ32fnnNsu/4Wo4lRhyRILcuHbrFnbTpR22gnOOsuCXYcOULt2Cga7caM13wvP5r74Yuu9EQDNmlmQCwe6Aw4I0IZA51w68MBXhRQVwcKFFtgiA11kxZSwevWsGHROjl23O/FEqFEjyQNes8ZmceFAN2OGzfIiHXDA1jM6LxPmnKskD3xpqqAAvv9+6wD39dewbt22n911V0tkbN3abjk5sPfeScjeLyiwtNCffrKMmfB9+PEPPxS3VAcbUOvWxYGuXTvYffcED9I5l2k88KWB/Hy7Bhe5VPnNN8U9TyM1aWKBLRzkWre2alsJWQ3cvBmWLt06qEUGt6VLi8t/laZGDUs+Cc/m2ra1NVfnnEsgD3wBs2EDzJ699UxuzpziPdeRWrTYOsDl5FhruLjJz7cLhJGztMj7Zcu2nrGVpnFjW55s3rz4PvKxZ1w655IsLQKfCB2BZ4BqwEBV+qR4SFEpKoK1a+2S1urVdiv5+KefLMjNn1+8STxMxC51RQa4nByoXz+GwajaTG39eouyeXnFs7aSwa1kBkxJWVk2nSwtoO21lyWieGBzrmoQ2ep3GNW0+h2OJFre/7GnmAjVgP8BpwBLgelAV1W+K+s7derU0Q0bNsR1HPn5xcFqewGstMd5eeVPjMKys62Yc+scpc3Bm2lz4AZaNV9PHQ0FqvXri4PW9h5v7/3Spo+lqVbNglfJgBYOck2begNW56oIEdmoqnXKeLPU32FUy/wdDrJ0mPEdASxU5QcAEYYBnaHswBeLxRMWsrTXU2z+o4gt+crm/CK25NvjLZuLKCpUsigiiyIEe5xNEbuhNCzxemmPa1QrokZ2EdWzNXRfRPVqSvVqRWRXK6Jm1hZ2lA3U2rIeWbIBvlsPgyoYoKKVnW2b88K3Jk1Kn7U1bux74pxzEPodRvUHAEQS8jucLOnwq9YE+Dni+VLgyJIfEpFuQDeAGjHk5a9b8Avtv+0f4xAroDB0yy/vgxFKBqg6dbZ9XNpr5X026fsWnHNpIFtEZkQ8H6CqA0KPK/Q7nC7SIfCVlo+4zcJh6B/QALClzmhP0rj9Pkzs8jw71BFq18mi9g7CDjtm2a2OULN2FlItyy64ZWXZLR6Pw/eRQc4DlHMu+QpUtU0Z71XodzhdpEPgWwo0i3jeFFge75M0OKgRJ464Pt6Hdc65qiApv8PJkg4NyKYD+4rQQoQawIXAmBSPyTnnMsl0YF9EWiCS9r/DgZ/xqVIgQk9gHJZG+6oqc1M8LOecyxyqBYhs9TuMatr+Dgd+O0MsErGdwTnnqrLtbmeoYtJhqdM555yLGw98zjnnMooHPueccxnFA59zzrmMUiWTW0SkCNgU49ezgQTVCgss/5urvkz7e8H/5mjVVtWMmAxVycBXGSIyYzvVC6ok/5urvkz7e8H/Zle2jIjuzjnnXJgHPueccxnFA9+2BpT/kSrH/+aqL9P+XvC/2ZXBr/E555zLKD7jc845l1E88IWISEcRmS8iC0Wkd6rHkwwi8qqI5IrInFSPJRlEpJmITBKReSIyV0RuTvWYEk1EaonIlyLyTehvfiDVY0oWEakmIrNE5L1UjyUZRORHEflWRL4u0VDWleBLndh/IMD/gFOwvlPTga6q+l1KB5ZgInIssB4YrKqtUj2eRBORRkAjVZ0pInWBr4Czq/I/ZxERoI6qrheR6sBnwM2qOjXFQ0s4EbkNaAPUU9VOqR5PoonIj0AbVf0t1WMJOp/xmSOAhar6g6puBoYBnVM8poRT1cnAqlSPI1lUdYWqzgw9XgfMA5qkdlSJpWZ96Gn10K3K/9+uiDQFzgAGpnosLng88JkmwM8Rz5dSxX8QM52INAdygGmpHUnihZb8vgZygQmqWuX/ZuBfwJ1AUaoHkkQKjBeRr0SkW6oHE2Qe+IyU8lqV/7/iTCUiOwIjgVtUNS/V40k0VS1U1UOBpsARIlKll7VFpBOQq6pfpXosSXaMqrYGTgNuCF3KcKXwwGeWAs0injcFlqdoLC6BQte5RgJDVHVUqseTTKq6BvgY6JjioSTaMcBZoWtew4ATReTN1A4p8VR1eeg+F3gbu4TjSuGBz0wH9hWRFiJSA7gQGJPiMbk4CyV6vALMU9WnUj2eZBCR3URk59Dj2sDJwPepHVViqerdqtpUVZtj/y1PVNVLUjyshBKROqGELUSkDtAByIhs7Vh44ANUtQDoCYzDEh6Gq+rc1I4q8URkKPAFsL+ILBWRq1M9pgQ7BrgUmwF8HbqdnupBJVgjYJKIzMb+B2+CqmZEen+GaQh8JiLfAF8C76vq2BSPKbB8O4NzzrmM4jM+55xzGcUDn3POuYzigc8551xG8cDnnHMuo3jgc845l1E88DnnnMsoHvicc85lFA98zjnnMsr/A0fRrIHZmo60AAAAAElFTkSuQmCC\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax1 = plt.subplots()\n", + "\n", + "ax1.plot(x, x**2, lw=2, color=\"blue\")\n", + "ax1.set_ylabel(r\"area $(m^2)$\", fontsize=18, color=\"blue\")\n", + "for label in ax1.get_yticklabels():\n", + " label.set_color(\"blue\")\n", + " \n", + "ax2 = ax1.twinx()\n", + "ax2.plot(x, x**3, lw=2, color=\"red\")\n", + "ax2.set_ylabel(r\"volume $(m^3)$\", fontsize=18, color=\"red\")\n", + "for label in ax2.get_yticklabels():\n", + " label.set_color(\"red\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Axes où x et y valent 0" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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CIHewlTqSyeDZC0TUJrX1Wsxdp8K5wiqsnq5EiCcv8W0LbukSUatpdQKvJ53AgYtl+OCZUIwe6CJ1JJPD0iWiVhFC4J3Np7HtzBUsejwIz9wnlzqSSWLpEtFdCSHw/tZzSEzNw59HKzD7IR+pI5ksli4R3dWHP2fg8/1ZiBneH28+OkDqOCaNpUtEd/TJLjXi9lzEtPu98O4TvGtYe7F0iahFK/dcxEc7MvDMMDmWPjUIZmYs3PbiKWNE1IQQAh/vVOOTXWpMGuqJD6JDWbgdhKVLRI0IIfDB9gv4dG8mJt8nx/JnQmHOwu0wLF0i0tPpBP72YzrWHszGc+H9sOTJEG7hdjCWLhEBAOq0Ovzl25NIPnEZsx/ywTuPBfKgmQGwdIkINzVavLL+GPZcKMH8cQF4ZZQfC9dAWLpE3Vzp9VrMSVDhZP5VvD9pEJ4L7yd1pC6Np4xRIykpKQgICIBCocDy5cubTP/oo48QFBSE0NBQREZGIicnR4KU1FEyS67j6VUHcf5KJT59/j4WrhGwdElPq9Vi3rx52LZtG9LT05GYmIj09PRGY4YOHQqVSoVTp04hOjoab731lkRpqb2OXCrDM58eRHVtPRJfjMD4EDepI3ULLF3SS01NhUKhgK+vL6ysrDB16lQkJyc3GjN69GjY2jbcOzUiIgL5+flSRKV2SkzNxfOrj8DRzgo/vPIghvZzkDpSt8F9uqRXUFAALy8v/Wu5XI4jR460OH7NmjWYMGFCs9Pi4+MRHx8PACgpKenYoHTP6rQ6LPkxHQmHcvDwgL74ZNpQ2PfgEx+MiaVLekKIJu+1dAT766+/hkqlwr59+5qdHhsbi9jYWACAUqnsuJB0z4qravBfG9JwJKscsSN9sWD8QF70IAGWLunJ5XLk5eXpX+fn58PDw6PJuJ07d2Lp0qXYt28frK2tjRmR7lFqVjnmbTiOqpo6fDRlMJ4exnvhSoX7dEkvLCwMarUaWVlZ0Gg0SEpKQlRUVKMxaWlpmDt3LrZs2QIXFz41oLPT6QQ+25eJaZ8fRk9rC2ye9yALV2Lc0iU9CwsLxMXFYdy4cdBqtZg1axaCg4OxePFiKJVKREVFYf78+bh+/TomT54MAOjXrx+2bNkicXJqTnFlDd789iT2q0sxIcQNH0SHopcN999KTdbcfrzb3HEiUWsolUqoVCqpY3Qru88XYf63p1Ctqcfix4Mx7X4vXmFmXC2ubG7pEnUhVTV1WPrTOSQdzcNAt15ImhYBf9deUsei27B0ibqIgxdLMX/TKRReu4mXR/nh9Uf8YW1hLnUs+gOWLpGJq6jW4P2t5/DtsXz4Otth08sPYBgvdui0WLpEJkoIgS0nL+Nv/0nH1Zt1eHmUH16L9IeNJbduOzOWLpEJOldYiXe3nEVqVjkGe/XB108PQqB7b6ljUSuwdIlMSHm1Bv+7MwPrDufAvocl3p80CM+GefHKMhPC0iUyATV1WnxxIAuf7slEtaYez4f3x5uPDkAfWyupo1EbsXSJOjFNvQ6bjuXj37vVKLxWg0cCXbBg/ECeBmbCWLpEnVCdVocfjhfgk91q5FfcxNB+ffDxs0MQ4eskdTRqJ5YuUSdyU6NF0tFcfP7LJVy+VoNQuT3+/lQIRg3oyyvKugiWLlEnUFRZg3WHcrAhNRfl1RqEeTtgyaQQjA5wYdl2MSxdIokIIaDKqcC6QznYeroQWiEQOdAVcx/2RZi3o9TxyEBYukRGVl6twQ9pBUhMzcXF4uvoZW2B6cO9EfNAf/R3spM6HhkYS5fICGrqtNhzvhjfHS/A3gvFqNcJDPHqgw+eCcXjg91ha8V/FbsL/k0TGUhNnRb7Mkqw9XQhdp0rxvXaerj0ssash3zw9DBPDHTjFWTdEUuXqAMVVdZgz/li7DxXjF8vlqCmTgcHW0s8HuqOx0Ld8YCfM68e6+ZYukTtUFlTB1V2OQ5cLMN+dQkyiq4DADz79MCzSi88EuSKCF8nWJrzyVjUgKVL1EpCCORX3MTx3Aqk5V7F0exynCushE4AVhZmCPdxxDPD5Bg5oC8GuvXiqV7ULJYuUTM09TpklVbjQlEV0i9X4uzla0i/XImyag0AwMbSDEO8+uC/xvgj3NcRw/o58JaK1CosXWokJSUFr732GrRaLebMmYOFCxc2ml5bW4vp06fj2LFjcHJywsaNG+Ht7S1N2Haq0+pQeLUGeRU3kFd+A1ll1cgqqcal0mpkl1ajXtfwiEBLcxkGuPZCZKALBsn7YFi/Pghw7QUL7jKge8DSJT2tVot58+Zhx44dkMvlCAsLQ1RUFIKCgvRj1qxZAwcHB1y8eBFJSUlYsGABNm7cKGHq3wkhcLNOi8qb9bh2sw4VNzSoqNag/IYGpVUalF6vRXFVDa5U1uLKtZsoqaqF7rZHr1qZm6G/ky18nO3waJArAtx6wd+lF/xc7PjYG+owLN1uSqdrKKhqTT1u1Db8qko7Cfcho5CtsUNGRjmUT8/Fim/3YfzEnqjTCmh1AmsPZuPRcVPwf/syoXW9D7+UbEPcbjVkMhmEEGju4dLFVbX4ZJda//rWGIGG8QINhakTAlodfvu14adOq0O9tuHXWq0Omnodaut1qNFoUVOvxU2NFtW19aj+7dd6XcsPsO5ja4m+Pa3hZm+DANe+cLPvAblDw4+Xgy08+vTgmQVkcHd8BPv48eNFaWnpPX94SUkJ+vbte8/zG1NXyHqrnOq0OtT/VlhanUD9bwV261etrqHgjKWuNA+Wzl6tGiv77R8yyCADcOtYlEwmg9mt92WA2W+vzcxkjX5vLpPB3Oz3HwszGczNzGBhJkNrjmuZ0vcAMK28ppQVaF/eY8eObRdCjG9u2h1LFw0bIfdMqVRCpVK15yOMxhSy1tZrkV16A9EzX8ErC/6K7NJq5F+9gfyKm7h89SbqtE3/uvrYWsLRzgoOtlZwsLVE7x6W6G1jiV42FuhpbQE7awvYWZujh6U5jh4+iBOqVCx6+39gZW6GbVv/g7OnTuLvf3sPlr+V2IiHHsT3330HL7knzGQyBAcH4cCvv8LJqeGWgzLZb8V5G/vevXCtsqrR0fxbv5PJ0KmO8pvC9+B2ppTXlLIC7c7b4peauxc6qaLKGpwpaDhinl5YiYyiKmSX3YBWJ4DBU/GPlPNw7mmNfo49MFjeBxMHucPD3gauvW3gZm8Dl142cOpp1abzQ+2rPPDrtycwxKsPACC5JBf+7g7w7NNDP8bL1QkVxZcx0K8/6uvrUVlRBjcX57sWJw86ETVg6XYCtfVanMq/BlV2BU7kVeBE3lUUVdbqp3s72WKAay9MCHGHv2tPvPvGS9i/7Xv0srHs0BxhYWFQq9XIysqCp6cnkpKSsGHDhkZjoqKikJCQgOHDh2PTpk0YM2ZMp9pSJersDFq6sbGxhvz4DmXMrPVaHU7mX8V+dSkOZZYhLe8qNPU6AA0FO9zXCYO9+iDE0x6B7r3R07rxX1PRtCc6vHABwMLCAnFxcRg3bhy0Wi1mzZqF4OBgLF68GEqlElFRUZg9ezZeeOEFKBQKODo6Iikp6a6f6+zs3OFZDcWUvrOAaeU1payA4fIadJ8u/a70ei32nC/G7vPF+FVdiqraeshkQLBHb4T7OOF+H0eEeTvC0a7rPWjQ1PblEXUA7tOVwuWrN7HtzBVsO12IY7kVEAJw7W2Nx0LdMcK/Lx7wc4JDFyxZImoZS7eDVVRr8OPpQmxOK8CxnAoAQKB7b7weOQCRgS4I9ujNfaBE3Vi7DimXl5dj7Nix8Pf3x9ixY1FRUdFkzJ49ezBkyBD9j42NDTZv3gwAmDFjBnx8fPTTTpw40Z44HZIXAMzNzfWZoqKi9O9nZWUhPDwc/v7+ePbZZ6HRNFyHr9UJ7DlfjNivVAhbuhOLNp9BVU0d5o8LwJ6/jMK210bgtUf8EeJp3+rCbU3WEydOYPjw4QgODkZoaGijK8OMtW5TUlIQEBAAhUKB5cuXN5leW1uLS5cuQaFQIDw8HNnZ2fppy5Ytg0KhQEBAALZv326QfG3J+tFHHyEoKAihoaGIjIxETk6OflpL3wmpsq5duxZ9+/bVZ1q9erV+WkJCAvz9/eHv74+EhASDZ21N3jfeeEOfdcCAAejTp49+mrHX7axZs+Di4oKQkJBmpwsh8Oqrr0KhUCA0NBTHjx/XT+uQddtwFVGLP3c0f/58sWzZMiGEEMuWLRNvvfXWHceXlZUJBwcHUV1dLYQQIiYmRnz77bd3W0yHaW1eOzu7Zt+fPHmySExMFEIIMXfuXLHi35+Jf+3IEMPf3yn6L/hRDPvbz+Lv/zkrzhRcFTqdzuBZL1y4IDIyMoQQQhQUFAg3NzdRUVEhhDDOuq2vrxe+vr4iMzNT1NbWitDQUHH27NlGY1auXCmcnZ2FEEIkJiaKKVOmCCGEOHv2rAgNDRU1NTXi0qVLwtfXV9TX10uadffu3frv5qpVq/RZhWj5OyFV1i+//FLMmzevybxlZWXCx8dHlJWVifLycuHj4yPKy8slz3u7Tz75RMycOVP/2pjrVggh9u3bJ44dOyaCg4Obnf7TTz+J8ePHC51OJw4dOiTuv/9+IUSb122LvdquLd3k5GTExMQAAGJiYvRbsC3ZtGkTJkyYAFtb2/Ys9p61Ne/thBDYvXs3oqOjcTr/GqpDnkFcrjs+3pkBP5eeWPX8MBz6n0i883gQgj1av0XbnqwDBgyAv78/AMDDwwMuLi4oKSlp13LbIjU1FQqFAr6+vrCyssLUqVORnJzcaExycrL+7IXo6Gjs2rULQggkJydj6tSpsLa2ho+PDxQKBVJTUyXNOnr0aP13MyIiAvn5+QbLcyetydqS7du3Y+zYsXB0dISDgwPGjh2LlJSUTpU3MTER06ZNM2imOxk5ciQcHVt+8GdycjKmT58OmUyGiIgIXL16FYWFhR22bttVukVFRXB3dwcAuLu7o7i4+I7jk5KSmqzst99+G6GhoXjjjTdQW1vbwpwdo7V5a2pqoFQqERERoS+70tJS9A4Ix/QvVXgi7lccK6qHZc4h7H7zYaybHY6Jg9xhZdFxFwC0dd2mpqZCo9HAz89P/56h121BQQG8vH6/vFcul6OgoKDJGEvLhtPbLCwsYG9vj7KyslbNa+yst1uzZg0mTJigf93cd0LqrN999x1CQ0MRHR2NvLy8Ns0rRV4AyMnJQVZWFsaMGaN/z5jrtjVa+vN01Lq964G0Rx55BFeuXGny/tKlS9u0oMLCQpw+fRrjxo3Tv7ds2TK4ublBo9EgNjYW//jHP7B48eI2fa4h8ubm5sLDwwOXLl3CmDFjUNnLGxtOVkA34hVkllzH2xMDMcLTDJOfegu+fZdJmhVoWLcvvPACEhISYGbWUPyGWLd/JJo53fCPW/gtjWnNvB2pLcv7+uuvoVKpsG/fPv17f/xODBo0qNF/4Iyd9YknnsC0adNgbW2Nzz77DDExMdi9e7fR1yvQtnWblJSE6OhomJv/ftc2Y67b1jD0d/aupbtz584Wp7m6uqKwsBDu7u4oLCyEi4tLi2O/+eYbTJo0Sb/VA0C/JWdtbY2ZM2fin//8Z1uyGyyvh4cHhBDIqrVDz2eWYPGOAng72aLml9XYvXsj7GyscOjQIXh4eEietbKyEo899hiWLFmCiIgI/fuGWLd/JJfL9VtYAJCfn99kncjlcuTm5gIA6uvrce3aNTg6OrZqXmNnBRr+TpYuXYp9+/bB2tpa//6tsb6+vhg1ahTS0tIMVgytyXrrXhcA8OKLL2LBggX6effu3dto3lGjRhkkZ1vy3pKUlISVK1c2es+Y67Y1WvrzdNi6vdMO37vtkP7LX/7S6GDP/PnzWxwbHh4udu/e3ei9y5cvCyGE0Ol04rXXXhMLFiy42yLbpTV5y8vLxSH1FRH96QHRf8GPov+8teJfyYdFXb1WREdHNzqQtnLlSkmz1tbWijFjxoiPP/64yTRjrNu6ujrh4+MjLl26pD+AcubMmUZj4uLiGh1Imzx5shBCiDNnzjQ6kObj42PQA2mtyXr8+HHh6+urPzh5S3l5uaipqRFCCFFSUiIUCsUdDxQZI+utv18hhPj+++9FeHi4EKLhYI+3t7coLy8X5eXlwtvbW0ZUqIcAAAh1SURBVJSVlRksa2vzCiHE+fPnRf/+/RsdZDb2ur0lKyurxQNpP/74Y6MDaWFhYUKINq/bFnu1XaVbWloqxowZIxQKhRgzZow+wNGjR8Xs2bMb/QE9PDyEVqttNP/o0aNFSEiICA4OFs8//7yoqqq62yLb5W55c0qrRfS/tov+C34U3q9tEAMmzhL/9/lq/fyZmZkiLCxM+Pn5iejoaP2XRYqsQgixbt06YWFhIQYPHqz/SUtLE0IYb93+9NNPwt/fX/j6+oolS5YIIYRYtGiRSE5OFkIIcfPmTeHg4CD8/PxEWFiYyMzM1M+7ZMkS4evrKwYMGCC2bt1qkHxtyRoZGSlcXFz06/KJJ54QQghx4MABERISIkJDQ0VISIhYvXp1i8swVtaFCxeKoKAgERoaKkaNGiXOnTunn3fNmjXCz89P+Pn5iS+++MLgWVuTVwgh3n333Sb/8Zdi3U6dOlW4ubkJCwsL4enpKVavXi0+/fRT8emnnwohGjZUXnnlFeHr6ytCQkLE0aNH9fO2Yd222Ku8DBhAdW09Vu29iM/3Z8HCTIa5I/0wZ4QP7Kx57UhH4GXA1A3xMuDmCCGw/ewV/HVLOq5U1mDSUE8sGD8QbvY2Ukcjoi6q25ZuwdWbeDf5DHaeK0age2/EPTcUSu+Wz90jIuoI3a50dTqB9UdysGzbeQgBvD0xEDMf9OZNtonIKLpV6eaV38CC707hYGYZRvg74/1Jg+DlKM3VcUTUPXWL0hVC4Ntj+Xhvy1nIZDIsf3oQng3z4t2+iMjounzpXrtRh//3w2n8dLoQEb6O+OfkwZA7cOuWiKTRpUtXlV2OVxPTUFxVi7fGB2DuSD+Ym3Hrloik0yVLVwiB1fuzsDzlPDz79MCmlx/QP+GWiEhKXe6QfWVNHV76+hiWbj2HRwJd8OOrD7FwW6G9N00notbpUqWbWXIdT608gF3nivHOY4H47E/3obcBnprbFS1fvhyRkZFQq9WIjIxs9u7/tra2+Oqrr3D27FmkpKTg9ddfx9WrVyVIS2S6ukzp7jlfjKfiDuDajTqsnxOOOSN8eXZCG5jCTdOJugKT36crhMDn+y9h2bbzCHTrjfjp9/HshHvQETdNv118fDzi4+MBgMVMdBuTLt16rQ6Lt5zFhiO5mDjIDR9OHoIeVuZ3n7GbMuRN0/8oNjYWsbGxABpueENEDUy2dKtq6vDnDWnYl1GCl0f5Yf6jATDj6WB3ZMibphNR65jkPt2SqlpMjT+MXy+WYtnTg7Bg/EAWbjtFRUXpHymdkJCAJ598sskYjUaDSZMmYfr06Zg8ebKxIxJ1CSZXurllNxD92UFcKqnG6hglpt3fT+pIXcLChQuxY8cO+Pv7Y8eOHVi4cCEAQKVSYc6cOQAaHrn0yy+/YO3atRgyZAiGDBmCEydOSBmbyOSY1E3MzxVWYvoXqajT6vDFjDAM6+cgdSRqBd7EnLoh07+J+cm8q3hhzRHYWllgw9zh8HftJXUkIqI2M4nSVWWXY8aXR+FoZ4X1c8J5O0YiMlmdvnQPZpZiToIKbr1tsP7FcLjb95A6EhHRPevUpXv4UhlmrT2Kfo62+HpOOFx68dllRGTaOm3pHs0ux6y1R+HlYIsNL0bAuae11JGIiNqtU54ydjy3AjO+SNXvUmDhElFX0elKN/1yJWK+SIVzL2tseDGCuxSIqEvpVKWbXVqN6V+koqe1BdbPCYebPQuXiLqWTlO6V67V4E9rjkCr02Hd7Pt5pzAi6pI6Releu1mH6V8cQUW1Bgmz7ofChRc+EFHXJPnZC7X1Wsxdp0JWaTXWzrwfoXI+WoeIui5JS1enE5j/7SkcvlSOfz07BA8qnKWMQ0RkcJLuXljx8wVsOXkZb40PwFNDPaWMQkRkFJKV7sajufh0byaeD++Hlx9u/pEvRERdjSSle/hSGd7ZfAYj/J3xXlQwHyBJRN2G0Us3p6waL319DP0cbRH33DBYmHeKEyiIiIzCqI1XVVOH2QkNN7NeExMG+x6Wxlw8EZHkjHb2gk4n8N/fnERWaTW+nh0Ob2c7Yy2aiKjTMNqWbtyei9iRXoR3HgvEcD8nYy2WiKhTMUrp7jpXhI93ZuDpoZ6Y8YC3MRZJbVReXo6xY8fC398fY8eORUVFRYtjKysr4enpiT//+c9GTEjUNRi8dLNLq/H6xhMIcu+N958exDMVOqnly5cjMjISarUakZGRWL58eYtjFy1ahIcfftiI6Yi6DoOWbk2dFq+sPw4zmQyf/ek+2FiaG3Jx1A7JycmIiYkBAMTExGDz5s3Njjt27BiKiorw6KOPGjMeUZdh0NJ97z/pSC+sxEdTBvNhkp1cUVER3N3dAQDu7u4oLi5uMkan0+HNN9/EihUr7vp58fHxUCqVUCqVKCkp6fC8RKbKYGcv/JCWj8TUXLz0sB8iA10NtRhqg0ceeQRXrlxp8v7SpUtbNf+qVaswceJEeHl53XVsbGwsYmNjAQBKpbJtQYm6MIOUrrqoCv/v+zO439sRf3l0gCEWQfdg586dLU5zdXVFYWEh3N3dUVhYCBcXlyZjDh06hP3792PVqlW4fv06NBoNevbsecf9v0TUmEFK18LcDEpvB/xz8mBecWYioqKikJCQgIULFyIhIQFPPvlkkzHr16/X/37t2rVQqVQsXKI2Mkgj+jjbYd3scLj25uN2TMXChQuxY8cO+Pv7Y8eOHVi4cCEAQKVSYc6cORKnI+o6ZEKIO02/40Si1lAqlVCpVFLHIDKmFs+N5f/7ExEZEUuXiMiIWLpEREbE0iUiMiKWLhGREbF0iYiMiKVLRGREdztPl6jdZDJZihBivNQ5iDoDli4RkRFx9wIRkRGxdImIjIilS0RkRCxdIiIjYukSERnR/wdKi57CBXM/jgAAAABJRU5ErkJggg==\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots()\n", + "\n", + "ax.spines['right'].set_color('none')\n", + "ax.spines['top'].set_color('none')\n", + "\n", + "ax.xaxis.set_ticks_position('bottom')\n", + "ax.spines['bottom'].set_position(('data',0)) # régler la position de x sur 0\n", + "\n", + "ax.yaxis.set_ticks_position('left')\n", + "ax.spines['left'].set_position(('data',0)) # régler la position de y sur 0\n", + "\n", + "xx = np.linspace(-0.75, 1., 100)\n", + "ax.plot(xx, xx**3);" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Autres styles de tracés 2D" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "En plus de la méthode classique de `plot`, il existe un certain nombre d'autres fonctions pour générer différents types de tracés. Voir la galerie de tracés matplotlib pour une liste complète des types de tracés disponibles: http://matplotlib.org/gallery.html. Certains des plus utiles sont présentés ci-dessous:" + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "metadata": {}, + "outputs": [], + "source": [ + "n = np.array([0,1,2,3,4,5])" + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig, axes = plt.subplots(1, 4, figsize=(12,3))\n", + "\n", + "axes[0].scatter(xx, xx + 0.25*np.random.randn(len(xx)))\n", + "axes[0].set_title(\"scatter\")\n", + "\n", + "axes[1].step(n, n**2, lw=2)\n", + "axes[1].set_title(\"step\")\n", + "\n", + "axes[2].bar(n, n**2, align=\"center\", width=0.5, alpha=0.5)\n", + "axes[2].set_title(\"bar\")\n", + "\n", + "axes[3].fill_between(x, x**2, x**3, color=\"green\", alpha=0.5);\n", + "axes[3].set_title(\"fill_between\");" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Annotation de texte" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "L'annotation de texte dans les figures matplotlib peut se faire à l'aide de la fonction `text`. Il prend en charge le formatage LaTeX tout comme les textes et les titres des étiquettes d'axes:" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots()\n", + "\n", + "ax.plot(xx, xx**2, xx, xx**3)\n", + "\n", + "ax.text(0.15, 0.2, r\"$y=x^2$\", fontsize=20, color=\"blue\")\n", + "ax.text(0.65, 0.1, r\"$y=x^3$\", fontsize=20, color=\"green\");" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Figures avec plusieurs sous-graphiques et incrustations" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Les axes peuvent être ajoutés manuellement à une Figure matplotlib en utilisant `fig.add_axes` ou en utilisant un gestionnaire de mise en page dee sous-figures tels que `subplots`, `subplot2grid` ou `gridspec`:" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### subplots" + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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yVS0vLS31n1ZDYF7U11wyY16Gq0sRrQMHJrb3c+Vp8YPAkwBV9S/AO4Fb5zGgBse8qC8zs+C6FNE54GCS25PsZfQPhStTa/4b+BBAkp9iFBLPjReTeVFfZmbBbVpEVXUZeAg4C7zE6Jsr55OcTHJkvOyTwMeTfBN4HHhgfJ95LRjzor7MjG7qsqiqzjD6B8LJfY9MPH4R+OB8R9NQmRf1ZWYWm1dWkCQ1ZRFJkpqyiCRJTVlEkqSmLCJJUlMWkSSpKYtIktSURSRJasoikiQ1ZRFJkpqyiCRJTVlEkqSmLCJJUlOdiijJ4SQXkqwlefgqa34pyYtJzif56/mOqSExL+rLzCy2TW8DkWQPcAr4BUZ3UjyXZGV8Wfa31xwEfgf4YFW9nuRHt2tg7WzmRX2ZGXU5I7obWKuqi1X1FvAEcHRqzceBU1X1OkBVvTrfMTUg5kV9mZkF16WI9gGXJrbXx/smvQ94X5J/TvJMksOznijJiSSrSVY3NrzL7y5lXtTXXDJjXoarSxFlxr7pW/TeBBwE7gWOA3+R5JYr/qOq01W1XFXLS0tLfWfVMJgX9TWXzJiX4epSROvAgYnt/cDLM9b8bVV9r6r+A7jAKDRaPOZFfZmZBdeliM4BB5PcnmQvcAxYmVrzN8DPAyS5ldFp9MV5DqrBMC/qy8wsuE2LqKouAw8BZ4GXgCer6nySk0mOjJedBV5L8iLwNPDbVfXadg2tncu8qC8zo1RNfxR7YywvL9fq6mqT115ESZ6rquXWc2yVebnxhpwZ83LjXU9evLKCJKkpi0iS1JRFJElqyiKSJDVlEUmSmrKIJElNWUSSpKYsIklSUxaRJKkpi0iS1JRFJElqyiKSJDXVqYiSHE5yIclakoevse4jSSrJIC+UqPkwL+rLzCy2TYsoyR7gFHAfcAg4nuTQjHXvAn4TeHbeQ2o4zIv6MjPqckZ0N7BWVRer6i3gCeDojHV/AHwa+J85zqfhMS/qy8wsuC5FtA+4NLG9Pt73fUnuBA5U1d9f64mSnEiymmR1Y2Oj97AaBPOivuaSGfMyXF2KKDP2ff9uekneAXwW+ORmT1RVp6tquaqWl5aWuk+pITEv6msumTEvw9WliNaBAxPb+4GXJ7bfBfw08E9J/hO4B1jxHxMXlnlRX2ZmwXUponPAwSS3J9kLHANW3j5YVW9U1a1VdVtV3QY8AxypKu/Tu5jMi/oyMwtu0yKqqsvAQ8BZ4CXgyao6n+RkkiPbPaCGxbyoLzOjm7osqqozwJmpfY9cZe291z+Whsy8qC8zs9i8soIkqSmLSJLUlEUkSWrKIpIkNWURSZKasogkSU1ZRJKkpiwiSVJTFpEkqSmLSJLUlEUkSWrKIpIkNWURSZKa6lRESQ4nuZBkLcnDM47/VpIXkzyf5B+T/Pj8R9VQmBf1ZWYW26ZFlGQPcAq4DzgEHE9yaGrZ14Hlqno/8BTw6XkPqmEwL+rLzKjLGdHdwFpVXayqt4AngKOTC6rq6ar67njzGUa3+tViMi/qy8wsuC5FtA+4NLG9Pt53NQ8CX5l1IMmJJKtJVjc2NrpPqSExL+prLpkxL8PVpYgyY1/NXJh8FFgGPjPreFWdrqrlqlpeWlrqPqWGxLyor7lkxrwMV5dbha8DBya29wMvTy9K8mHgU8DPVdWb8xlPA2Re1JeZWXBdzojOAQeT3J5kL3AMWJlckORO4M+AI1X16vzH1ICYF/VlZhbcpkVUVZeBh4CzwEvAk1V1PsnJJEfGyz4D/BDw5STfSLJylafTLmde1JeZUZeP5qiqM8CZqX2PTDz+8Jzn0oCZF/VlZhabV1aQJDVlEUmSmrKIJElNWUSSpKYsIklSUxaRJKkpi0iS1JRFJElqyiKSJDVlEUmSmrKIJElNWUSSpKY6FVGSw0kuJFlL8vCM4z+Y5Evj488muW3eg2o4zIv6MjOLbdMiSrIHOAXcBxwCjic5NLXsQeD1qvoJ4LPAH817UA2DeVFfZkZdzojuBtaq6mJVvQU8ARydWnMU+Kvx46eADyWZdftf7X7mRX2ZmQXX5X5E+4BLE9vrwM9cbU1VXU7yBvAjwLcnFyU5AZwYb76Z5IWtDN3YrUz9vQbiJ2/Q65iX/2+oeYGBZWaX5AWGm5kt56VLEc1611FbWENVnQZOAyRZrarlDq+/owx57hv1UjP2mZcBGlpmdkNeYLizX09eunw0tw4cmNjeD7x8tTVJbgLeDXxnq0Np0MyL+jIzC65LEZ0DDia5Pcle4Bgwfb/4FeCXx48/Any1qq54h6uFYF7Ul5lZcJt+NDf+PPYh4CywB3i0qs4nOQmsVtUK8JfAF5OsMXqXcqzDa5++jrlbcu5rMC9XGOrcMOzM+HO/8bY8d3xTIUlqySsrSJKasogkSU1taxEN+bIdHWZ/IMlGkm+M//xqizmnJXk0yatX+x2KjHxu/Pd6PsldN3rGaxlqZsxLG0PNCwwzM9uWl6ralj+M/tHxW8B7gb3AN4FDU2t+Dfj8+PEx4EvbNc82zP4A8MetZ50x+88CdwEvXOX4/cBXGP1exj3As61nHnpmzMuO/rnvuLwMOTPblZftPCMa8mU7usy+I1XV17j271ccBb5QI88AtyR5z42ZblNDzYx5aWOoeYGBZma78rKdRTTrsh37rramqi4Db1+2o7UuswP84vj086kkB2Yc34m6/t1aGGpmzEsbQ80L7N7MbCkv21lEc7vUSwNd5vo74Laqej/wD/zfu66dbqf+zGG4mTEvbQw1L7B7M7Oln/d2FtGQL9ux6exV9VpVvTne/HPgAzdotuvV5f9LK0PNjHlpY6h5gd2bmS3lZTuLaMiX7dh09qnPPY8AL93A+a7HCvCx8bdb7gHeqKpXWg81NtTMmJc2hpoX2L2Z2VpetvkbFvcD/87o2yGfGu87CRwZP34n8GVgDfhX4L2tvxXSY/Y/BM4z+rbL08AdrWcez/U48ArwPUbvTh4EPgF8Ynw8jG5C9i3g34Dl1jPvhsyYlx37c9+ReRlqZrYrL17iR5LUlFdWkCQ1ZRFJkpqyiCRJTVlEkqSmLCJJUlMWkSSpKYtIktTU/wJkW+gL15VfSAAAAABJRU5ErkJggg==\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(2, 3)\n", + "fig.tight_layout()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### subplot2grid" + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig = plt.figure()\n", + "ax1 = plt.subplot2grid((3,3), (0,0), colspan=3)\n", + "ax2 = plt.subplot2grid((3,3), (1,0), colspan=2)\n", + "ax3 = plt.subplot2grid((3,3), (1,2), rowspan=2)\n", + "ax4 = plt.subplot2grid((3,3), (2,0))\n", + "ax5 = plt.subplot2grid((3,3), (2,1))\n", + "fig.tight_layout()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### gridspec" + ] + }, + { + "cell_type": "code", + "execution_count": 44, + "metadata": {}, + "outputs": [], + "source": [ + "import matplotlib.gridspec as gridspec" + ] + }, + { + "cell_type": "code", + "execution_count": 45, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig = plt.figure()\n", + "\n", + "gs = gridspec.GridSpec(2, 3, height_ratios=[2,1], width_ratios=[1,2,1])\n", + "for g in gs:\n", + " ax = fig.add_subplot(g)\n", + " \n", + "fig.tight_layout()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### add_axes" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Ajout manuel d'axes avec `add_axes` est utile pour ajouter des graphiques intérieurs aux figures :" + ] + }, + { + "cell_type": "code", + "execution_count": 46, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots()\n", + "\n", + "ax.plot(xx, xx**2, xx, xx**3)\n", + "fig.tight_layout()\n", + "\n", + "# inset\n", + "inset_ax = fig.add_axes([0.2, 0.55, 0.35, 0.35]) # X, Y, width, height\n", + "\n", + "inset_ax.plot(xx, xx**2, xx, xx**3)\n", + "inset_ax.set_title('zoom near origin')\n", + "\n", + "# définir plage de l'axe\n", + "inset_ax.set_xlim(-.2, .2)\n", + "inset_ax.set_ylim(-.005, .01)\n", + "\n", + "# définir les emplacements des tiques d'axe\n", + "inset_ax.set_yticks([0, 0.005, 0.01])\n", + "inset_ax.set_xticks([-0.1,0,.1]);" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Figures de couleurs et de contours" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Les couleurs et les figures de contour sont utiles pour tracer les fonctions de deux variables. Dans la plupart de ces fonctions, nous utiliserons une carte de couleurs pour encoder une dimension des données. Il existe un certain nombre de cartes de couleurs prédéfinies. Il est relativement simple de définir des cartes de couleur personnalisées. Pour une liste de cartes de couleurs prédéfinies, voir : http://www.scipy.org/Cookbook/Matplotlib/Show_colormaps" + ] + }, + { + "cell_type": "code", + "execution_count": 47, + "metadata": {}, + "outputs": [], + "source": [ + "alpha = 0.7\n", + "phi_ext = 2 * np.pi * 0.5\n", + "\n", + "def flux_qubit_potential(phi_m, phi_p):\n", + " return 2 + alpha - 2 * np.cos(phi_p) * np.cos(phi_m) - alpha * np.cos(phi_ext - 2*phi_p)" + ] + }, + { + "cell_type": "code", + "execution_count": 48, + "metadata": {}, + "outputs": [], + "source": [ + "phi_m = np.linspace(0, 2*np.pi, 100)\n", + "phi_p = np.linspace(0, 2*np.pi, 100)\n", + "X,Y = np.meshgrid(phi_p, phi_m)\n", + "Z = flux_qubit_potential(X, Y).T" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### pcolor" + ] + }, + { + "cell_type": "code", + "execution_count": 50, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots()\n", + "\n", + "p = ax.pcolor(X/(2*np.pi), Y/(2*np.pi), Z, cmap=plt.cm.RdBu, vmin=abs(Z).min(), vmax=abs(Z).max())\n", + "cb = fig.colorbar(p, ax=ax)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### imshow" + ] + }, + { + "cell_type": "code", + "execution_count": 51, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots()\n", + "\n", + "im = ax.imshow(Z, cmap=plt.cm.RdBu, vmin=abs(Z).min(), vmax=abs(Z).max(), extent=[0, 1, 0, 1])\n", + "im.set_interpolation('bilinear')\n", + "\n", + "cb = fig.colorbar(im, ax=ax)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### contour" + ] + }, + { + "cell_type": "code", + "execution_count": 52, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots()\n", + "\n", + "cnt = ax.contour(Z, cmap=plt.cm.RdBu, vmin=abs(Z).min(), vmax=abs(Z).max(), extent=[0, 1, 0, 1])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Figures 3D" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Pour utiliser les graphiques 3D dans matplotlib, nous devons d'abord créer une instance de la classe `Axes3D`. Les axes 3D peuvent être ajoutés à un canevas de figures matplotlib exactement de la même manière que les axes 2D ; ou, plus commodément, en passant l'argument `projection='3d'` aux méthodes `add_axes` ou `add_subplot`." + ] + }, + { + "cell_type": "code", + "execution_count": 53, + "metadata": {}, + "outputs": [], + "source": [ + "from mpl_toolkits.mplot3d.axes3d import Axes3D" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Tracés de surface" + ] + }, + { + "cell_type": "code", + "execution_count": 55, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig = plt.figure(figsize=(14,6))\n", + "\n", + "# `ax` est une instance d'axe compatible 3D à cause de l'argument projection='3d' à add_subplot\n", + "ax = fig.add_subplot(1, 2, 1, projection='3d')\n", + "\n", + "p = ax.plot_surface(X, Y, Z, rstride=4, cstride=4, linewidth=0)\n", + "\n", + "# surface_plot avec étalonnage et barre de couleurs\n", + "ax = fig.add_subplot(1, 2, 2, projection='3d')\n", + "p = ax.plot_surface(X, Y, Z, rstride=1, cstride=1, cmap=plt.cm.coolwarm, linewidth=0, antialiased=False)\n", + "cb = fig.colorbar(p, shrink=0.5)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Tracé Wire-frame" + ] + }, + { + "cell_type": "code", + "execution_count": 56, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig = plt.figure(figsize=(8,6))\n", + "\n", + "ax = fig.add_subplot(1, 1, 1, projection='3d')\n", + "\n", + "p = ax.plot_wireframe(X, Y, Z, rstride=4, cstride=4)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### graphiques de Coutour avec projections" + ] + }, + { + "cell_type": "code", + "execution_count": 58, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig = plt.figure(figsize=(8,6))\n", + "\n", + "ax = fig.add_subplot(1,1,1, projection='3d')\n", + "\n", + "ax.plot_surface(X, Y, Z, rstride=4, cstride=4, alpha=0.25)\n", + "cset = ax.contour(X, Y, Z, zdir='z', offset=-np.pi, cmap=plt.cm.coolwarm)\n", + "cset = ax.contour(X, Y, Z, zdir='x', offset=-np.pi, cmap=plt.cm.coolwarm)\n", + "cset = ax.contour(X, Y, Z, zdir='y', offset=3*np.pi, cmap=plt.cm.coolwarm)\n", + "\n", + "ax.set_xlim3d(-np.pi, 2*np.pi);\n", + "ax.set_ylim3d(0, 3*np.pi);\n", + "ax.set_zlim3d(-np.pi, 2*np.pi);" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Lectures complémentaires" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "* http://www.matplotlib.org - La page web du projet matplotlib.\n", + "* https://github.com/matplotlib/matplotlib - Le code source de matplotlib.\n", + "* http://matplotlib.org/gallery.html - Une grande galerie présentant différents types de tracés que matplotlib peut créer. Fortement recommandé! \n", + "* http://www.loria.fr/~rougier/teaching/matplotlib - Un bon tutoriel matplotlib.\n", + "* http://scipy-lectures.github.io/matplotlib/matplotlib.html - Une autre bonne référence matplotlib.\n" + ] + } + ], + "metadata": { + "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": "3.7.5" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} diff --git a/04-Visualisation-Matplotlib-Pandas/04-01-Matplotlib/.ipynb_checkpoints/(Optionnel - Pas de vidéo) - Matplotlib avancé-checkpoint.ipynb b/04-Visualisation-Matplotlib-Pandas/04-01-Matplotlib/.ipynb_checkpoints/(Optionnel - Pas de vidéo) - Matplotlib avancé-checkpoint.ipynb new file mode 100644 index 0000000..b9c9cf9 --- /dev/null +++ b/04-Visualisation-Matplotlib-Pandas/04-01-Matplotlib/.ipynb_checkpoints/(Optionnel - Pas de vidéo) - Matplotlib avancé-checkpoint.ipynb @@ -0,0 +1,1048 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Advanced Matplotlib Concepts Lecture\n", + "\n", + "In this lecture we cover some more advanced topics which you won't usually use as often. You can always reference the documentation for more resources!" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Logarithmic scale" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "It is also possible to set a logarithmic scale for one or both axes. This functionality is in fact only one application of a more general transformation system in Matplotlib. Each of the axes' scales are set seperately using `set_xscale` and `set_yscale` methods which accept one parameter (with the value \"log\" in this case):" + ] + }, + { + "cell_type": "code", + "execution_count": 94, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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nHT2Z0GICBXJZX0hm8ep2PSLyFlAmWYF8V6Cjqtb3PM8PHABqqup2EYkBxqvq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\npETLYz1ObWmWsmABvPEGzJxpiZYxvpa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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, axes = plt.subplots(1, 2, figsize=(10,4))\n", + " \n", + "axes[0].plot(x, x**2, x, np.exp(x))\n", + "axes[0].set_title(\"Normal scale\")\n", + "\n", + "axes[1].plot(x, x**2, x, np.exp(x))\n", + "axes[1].set_yscale(\"log\")\n", + "axes[1].set_title(\"Logarithmic scale (y)\");" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Placement of ticks and custom tick labels" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can explicitly determine where we want the axis ticks with `set_xticks` and `set_yticks`, which both take a list of values for where on the axis the ticks are to be placed. We can also use the `set_xticklabels` and `set_yticklabels` methods to provide a list of custom text labels for each tick location:" + ] + }, + { + "cell_type": "code", + "execution_count": 95, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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WN5i1YRbrDqwrbu+Z2JOf9/k5Y3qNoUOzDg5WKNKweL1w4MCZAa0opO3Z4zvb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\nBPAE8JS1drVzVUkwjDFXGmM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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(figsize=(10, 4))\n", + "\n", + "ax.plot(x, x**2, x, x**3, lw=2)\n", + "\n", + "ax.set_xticks([1, 2, 3, 4, 5])\n", + "ax.set_xticklabels([r'$\\alpha$', r'$\\beta$', r'$\\gamma$', r'$\\delta$', r'$\\epsilon$'], fontsize=18)\n", + "\n", + "yticks = [0, 50, 100, 150]\n", + "ax.set_yticks(yticks)\n", + "ax.set_yticklabels([\"$%.1f$\" % y for y in yticks], fontsize=18); # use LaTeX formatted labels" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "There are a number of more advanced methods for controlling major and minor tick placement in matplotlib figures, such as automatic placement according to different policies. See http://matplotlib.org/api/ticker_api.html for details." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Scientific notation" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "With large numbers on axes, it is often better use scientific notation:" + ] + }, + { + "cell_type": "code", + "execution_count": 96, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(1, 1)\n", + " \n", + "ax.plot(x, x**2, x, np.exp(x))\n", + "ax.set_title(\"scientific notation\")\n", + "\n", + "ax.set_yticks([0, 50, 100, 150])\n", + "\n", + "from matplotlib import ticker\n", + "formatter = ticker.ScalarFormatter(useMathText=True)\n", + "formatter.set_scientific(True) \n", + "formatter.set_powerlimits((-1,1)) \n", + "ax.yaxis.set_major_formatter(formatter) " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Axis number and axis label spacing" + ] + }, + { + "cell_type": "code", + "execution_count": 97, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# distance between x and y axis and the numbers on the axes\n", + "matplotlib.rcParams['xtick.major.pad'] = 5\n", + "matplotlib.rcParams['ytick.major.pad'] = 5\n", + "\n", + "fig, ax = plt.subplots(1, 1)\n", + " \n", + "ax.plot(x, x**2, x, np.exp(x))\n", + "ax.set_yticks([0, 50, 100, 150])\n", + "\n", + "ax.set_title(\"label and axis spacing\")\n", + "\n", + "# padding between axis label and axis numbers\n", + "ax.xaxis.labelpad = 5\n", + "ax.yaxis.labelpad = 5\n", + "\n", + "ax.set_xlabel(\"x\")\n", + "ax.set_ylabel(\"y\");" + ] + }, + { + "cell_type": "code", + "execution_count": 98, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "# restore defaults\n", + "matplotlib.rcParams['xtick.major.pad'] = 3\n", + "matplotlib.rcParams['ytick.major.pad'] = 3" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Axis position adjustments" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Unfortunately, when saving figures the labels are sometimes clipped, and it can be necessary to adjust the positions of axes a little bit. This can be done using `subplots_adjust`:" + ] + }, + { + "cell_type": "code", + "execution_count": 99, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(1, 1)\n", + " \n", + "ax.plot(x, x**2, x, np.exp(x))\n", + "ax.set_yticks([0, 50, 100, 150])\n", + "\n", + "ax.set_title(\"title\")\n", + "ax.set_xlabel(\"x\")\n", + "ax.set_ylabel(\"y\")\n", + "\n", + "fig.subplots_adjust(left=0.15, right=.9, bottom=0.1, top=0.9);" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Axis grid" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "With the `grid` method in the axis object, we can turn on and off grid lines. We can also customize the appearance of the grid lines using the same keyword arguments as the `plot` function:" + ] + }, + { + "cell_type": "code", + "execution_count": 100, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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s22fzwCUPVOi+dstFgKx1aE+Si+/M2z6PGz6/gYycDO7qdBcLhiygVmits97P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\nf7cL+fv8n8z/hK+2fcUKvYJ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Ltgv2F/8xbne73eTk55CVn05Wfjon3emc0sZPrkonNyid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\nSUVORK5CYII=\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, axes = plt.subplots(1, 2, figsize=(10,3))\n", + "\n", + "# default grid appearance\n", + "axes[0].plot(x, x**2, x, x**3, lw=2)\n", + "axes[0].grid(True)\n", + "\n", + "# custom grid appearance\n", + "axes[1].plot(x, x**2, x, x**3, lw=2)\n", + "axes[1].grid(color='b', alpha=0.5, linestyle='dashed', linewidth=0.5)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Axis spines" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can also change the properties of axis spines:" + ] + }, + { + "cell_type": "code", + "execution_count": 101, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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C\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(figsize=(6,2))\n", + "\n", + "ax.spines['bottom'].set_color('blue')\n", + "ax.spines['top'].set_color('blue')\n", + "\n", + "ax.spines['left'].set_color('red')\n", + "ax.spines['left'].set_linewidth(2)\n", + "\n", + "# turn off axis spine to the right\n", + "ax.spines['right'].set_color(\"none\")\n", + "ax.yaxis.tick_left() # only ticks on the left side" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Twin axes" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Sometimes it is useful to have dual x or y axes in a figure; for example, when plotting curves with different units together. Matplotlib supports this with the `twinx` and `twiny` functions:" + ] + }, + { + "cell_type": "code", + "execution_count": 102, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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Jb9Iky/iysqw85quvhizwDR8Ozz5rg3rjDdhtt6BH5OBrIGGbXmIJfpcAr6vy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\nBTuswDwC7KOqOwDnAQ+KyJEBjylIzwI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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax1 = plt.subplots()\n", + "\n", + "ax1.plot(x, x**2, lw=2, color=\"blue\")\n", + "ax1.set_ylabel(r\"area $(m^2)$\", fontsize=18, color=\"blue\")\n", + "for label in ax1.get_yticklabels():\n", + " label.set_color(\"blue\")\n", + " \n", + "ax2 = ax1.twinx()\n", + "ax2.plot(x, x**3, lw=2, color=\"red\")\n", + "ax2.set_ylabel(r\"volume $(m^3)$\", fontsize=18, color=\"red\")\n", + "for label in ax2.get_yticklabels():\n", + " label.set_color(\"red\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Axes where x and y is zero" + ] + }, + { + "cell_type": "code", + "execution_count": 103, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots()\n", + "\n", + "ax.spines['right'].set_color('none')\n", + "ax.spines['top'].set_color('none')\n", + "\n", + "ax.xaxis.set_ticks_position('bottom')\n", + "ax.spines['bottom'].set_position(('data',0)) # set position of x spine to x=0\n", + "\n", + "ax.yaxis.set_ticks_position('left')\n", + "ax.spines['left'].set_position(('data',0)) # set position of y spine to y=0\n", + "\n", + "xx = np.linspace(-0.75, 1., 100)\n", + "ax.plot(xx, xx**3);" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Other 2D plot styles" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "In addition to the regular `plot` method, there are a number of other functions for generating different kind of plots. See the matplotlib plot gallery for a complete list of available plot types: http://matplotlib.org/gallery.html. Some of the more useful ones are show below:" + ] + }, + { + "cell_type": "code", + "execution_count": 104, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "n = np.array([0,1,2,3,4,5])" + ] + }, + { + "cell_type": "code", + "execution_count": 105, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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uYDtwFDCY4NuRr5nZwwSB9FeAJ4HvEMzafKxDnZYuYfnG5ThOj7zOTaSI7Gpm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\nnP/bmdyd3Qd2s+fgHgA+OOyDnH3q2Yw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76RwaecprLnh43drLDl4196Gjx3YBm3IfzAOe\nBXY3bHNKhinnZt1Bz7vtybmq2jcv4CXgEnBxwuvF/LdFpHuZbpzw/88Ax4FTwHvArBqa84CPSJd/\nDgPrJ/ztf5rAa1lvDPgxn++MJjpecZVoNomryvhlvTGPGEt0reKs66fpmDdOeouz3rncl2PZTxsd\nNecDe0hPt58iPRT0uHffdujn0R7ozCdt0XQ6x7sPuHcaYm3kKY+5YO11Dy97e9XCh14eI30ruY20\nU8JR4A3gamevDnzOzZpDl3f7OedGhcEgCIIgCIIgqEhf3bYRBEEQBEEQBP1MLJ6DIAiCIAiCoCKx\neA6CIAiCIAiCisTiOQiCIAiCIAgqEovnIAiCIAiCIKhILJ6DIAiCIAiCoCKxeA6CIAiCIAiCisTi\nOQiCIAiCIAgq8i8ekPX0JG+NvQAAAABJRU5ErkJggg==\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, axes = plt.subplots(1, 4, figsize=(12,3))\n", + "\n", + "axes[0].scatter(xx, xx + 0.25*np.random.randn(len(xx)))\n", + "axes[0].set_title(\"scatter\")\n", + "\n", + "axes[1].step(n, n**2, lw=2)\n", + "axes[1].set_title(\"step\")\n", + "\n", + "axes[2].bar(n, n**2, align=\"center\", width=0.5, alpha=0.5)\n", + "axes[2].set_title(\"bar\")\n", + "\n", + "axes[3].fill_between(x, x**2, x**3, color=\"green\", alpha=0.5);\n", + "axes[3].set_title(\"fill_between\");" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Text annotation" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Annotating text in matplotlib figures can be done using the `text` function. It supports LaTeX formatting just like axis label texts and titles:" + ] + }, + { + "cell_type": "code", + "execution_count": 108, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots()\n", + "\n", + "ax.plot(xx, xx**2, xx, xx**3)\n", + "\n", + "ax.text(0.15, 0.2, r\"$y=x^2$\", fontsize=20, color=\"blue\")\n", + "ax.text(0.65, 0.1, r\"$y=x^3$\", fontsize=20, color=\"green\");" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Figures with multiple subplots and insets" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Axes can be added to a matplotlib Figure canvas manually using `fig.add_axes` or using a sub-figure layout manager such as `subplots`, `subplot2grid`, or `gridspec`:" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### subplots" + ] + }, + { + "cell_type": "code", + "execution_count": 109, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(2, 3)\n", + "fig.tight_layout()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### subplot2grid" + ] + }, + { + "cell_type": "code", + "execution_count": 110, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig = plt.figure()\n", + "ax1 = plt.subplot2grid((3,3), (0,0), colspan=3)\n", + "ax2 = plt.subplot2grid((3,3), (1,0), colspan=2)\n", + "ax3 = plt.subplot2grid((3,3), (1,2), rowspan=2)\n", + "ax4 = plt.subplot2grid((3,3), (2,0))\n", + "ax5 = plt.subplot2grid((3,3), (2,1))\n", + "fig.tight_layout()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### gridspec" + ] + }, + { + "cell_type": "code", + "execution_count": 111, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "import matplotlib.gridspec as gridspec" + ] + }, + { + "cell_type": "code", + "execution_count": 112, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig = plt.figure()\n", + "\n", + "gs = gridspec.GridSpec(2, 3, height_ratios=[2,1], width_ratios=[1,2,1])\n", + "for g in gs:\n", + " ax = fig.add_subplot(g)\n", + " \n", + "fig.tight_layout()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### add_axes" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Manually adding axes with `add_axes` is useful for adding insets to figures:" + ] + }, + { + "cell_type": "code", + "execution_count": 113, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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H4K3hWNhzxsbAO+9w5wZAdGYYOFC3J1NNzkzGsgvLMLfnXLlDYaxIGRnA0GFZMOv3Jb4f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\nju3K7YhPi8eoNqMwus1ouNR00e6BWYX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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots()\n", + "\n", + "ax.plot(xx, xx**2, xx, xx**3)\n", + "fig.tight_layout()\n", + "\n", + "# inset\n", + "inset_ax = fig.add_axes([0.2, 0.55, 0.35, 0.35]) # X, Y, width, height\n", + "\n", + "inset_ax.plot(xx, xx**2, xx, xx**3)\n", + "inset_ax.set_title('zoom near origin')\n", + "\n", + "# set axis range\n", + "inset_ax.set_xlim(-.2, .2)\n", + "inset_ax.set_ylim(-.005, .01)\n", + "\n", + "# set axis tick locations\n", + "inset_ax.set_yticks([0, 0.005, 0.01])\n", + "inset_ax.set_xticks([-0.1,0,.1]);" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Colormap and contour figures" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Colormaps and contour figures are useful for plotting functions of two variables. In most of these functions we will use a colormap to encode one dimension of the data. There are a number of predefined colormaps. It is relatively straightforward to define custom colormaps. For a list of pre-defined colormaps, see: http://www.scipy.org/Cookbook/Matplotlib/Show_colormaps" + ] + }, + { + "cell_type": "code", + "execution_count": 114, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "alpha = 0.7\n", + "phi_ext = 2 * np.pi * 0.5\n", + "\n", + "def flux_qubit_potential(phi_m, phi_p):\n", + " return 2 + alpha - 2 * np.cos(phi_p) * np.cos(phi_m) - alpha * np.cos(phi_ext - 2*phi_p)" + ] + }, + { + "cell_type": "code", + "execution_count": 115, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "phi_m = np.linspace(0, 2*np.pi, 100)\n", + "phi_p = np.linspace(0, 2*np.pi, 100)\n", + "X,Y = np.meshgrid(phi_p, phi_m)\n", + "Z = flux_qubit_potential(X, Y).T" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### pcolor" + ] + }, + { + "cell_type": "code", + "execution_count": 116, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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cDZ3wbUDePCya8OUxySN4OKqkm8/iWDvEyUMzI87IyDgSyIxYwSO7o0h4zm6s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\num5ZRQAAAABJRU5ErkJggg==\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots()\n", + "\n", + "p = ax.pcolor(X/(2*np.pi), Y/(2*np.pi), Z, cmap=matplotlib.cm.RdBu, vmin=abs(Z).min(), vmax=abs(Z).max())\n", + "cb = fig.colorbar(p, ax=ax)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### imshow" + ] + }, + { + "cell_type": "code", + "execution_count": 117, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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44rfMI9Yc1A6ulUX4RgCZmZ/NWNvCuNdaiVHj1AVHyaGy0hTBvZ5r3o+8N2r3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\nNqdMbaINDmhK3MG64bMMkFxkw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hJALoKRmKNclCNFTJPlDT0607A0GvwasInxkzoEYC7s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\ntUUWWeS6kv8HUacFWVNPEqAAAAAASUVORK5CYII=\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots()\n", + "\n", + "im = ax.imshow(Z, cmap=matplotlib.cm.RdBu, vmin=abs(Z).min(), vmax=abs(Z).max(), extent=[0, 1, 0, 1])\n", + "im.set_interpolation('bilinear')\n", + "\n", + "cb = fig.colorbar(im, ax=ax)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### contour" + ] + }, + { + "cell_type": "code", + "execution_count": 118, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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Zg4DDNVSgSjbT3q/ItDWL++lgGKCrCF0FbajWk1oCtWjWf3L7zMHF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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots()\n", + "\n", + "cnt = ax.contour(Z, cmap=matplotlib.cm.RdBu, vmin=abs(Z).min(), vmax=abs(Z).max(), extent=[0, 1, 0, 1])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## 3D figures" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "To use 3D graphics in matplotlib, we first need to create an instance of the `Axes3D` class. 3D axes can be added to a matplotlib figure canvas in exactly the same way as 2D axes; or, more conveniently, by passing a `projection='3d'` keyword argument to the `add_axes` or `add_subplot` methods." + ] + }, + { + "cell_type": "code", + "execution_count": 119, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "from mpl_toolkits.mplot3d.axes3d import Axes3D" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Surface plots" + ] + }, + { + "cell_type": "code", + "execution_count": 121, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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/8Ad/gC984QsDJ23bT+bOlU4B/qyALMueSHo6nW7Y0JvPW/jN33wNd965F9u2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\neOOXr/cTAACLF6dx8GAO73znfBQKBvb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P4aGHHmppDRtkG01yv/R19bkL8advv9D9agGG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\nBkqQZf7zElyXRsLbDz74gnjQPth58oXV8RShqwGtFIy++10KTePHa0c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8hsmGEjyolvJ9VZJEUGUWTIajJCoJh60EGXFRxLmgIla2L5zg3BdjQmTuDU06Po7Ps5V98dh0av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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig = plt.figure(figsize=(14,6))\n", + "\n", + "# `ax` is a 3D-aware axis instance because of the projection='3d' keyword argument to add_subplot\n", + "ax = fig.add_subplot(1, 2, 1, projection='3d')\n", + "\n", + "p = ax.plot_surface(X, Y, Z, rstride=4, cstride=4, linewidth=0)\n", + "\n", + "# surface_plot with color grading and color bar\n", + "ax = fig.add_subplot(1, 2, 2, projection='3d')\n", + "p = ax.plot_surface(X, Y, Z, rstride=1, cstride=1, cmap=matplotlib.cm.coolwarm, linewidth=0, antialiased=False)\n", + "cb = fig.colorbar(p, shrink=0.5)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Wire-frame plot" + ] + }, + { + "cell_type": "code", + "execution_count": 122, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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XKhgGDBvmYvfu9K/Len+J7kFNDJK2h31dLlekUjT2Gq3FJp1+xsPNiIZCcO+9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24//yzO99o13ASkM2ck6tSxAiLLnDHDRkaGxIABBj/9pNCihTBaDg11kZtEnxWgRQuDI0dEj7hh\nQ7HhWLxY5v33NSwWk2eeubt9pw8+sKBpIMsSp08Lf8+nnkrFZoPp0y3Uq6czY4aFHj2chITA7Nkq\nCxao9OypsWxZupc4gdMp5Oxq1/bWiJVlGZvNQs+e4h4mJ1vo2bMg16+rbocMz37Ujh0KDz+c84ze\nyJEOpk+3UqWKQXBwztfYt6+T5cstJCXBggUq3buL0t3YsVYsFhEsFUWMk3TrJh6CVatUqlTRqVFD\np0sXjWXLVNauVenWTWPMGCs1a+o88YTGunUKAwZkPjjFipmUKmUQFaWwZo3KG2/Y2bFDZdCgNL76\nynt3+fHHNjp21NzB1hMWiyiFR0fbvMYy4uNDaN26INWqaaxefY3OnROx2Ux+/tnpNZYRFgYVKujs\n33/rxMFbxV/lVOLrfVNSUqhSpQqPP/44EydOZM6cOX7/Pq/m0TNmzODJJ5+kUqVKhIeH89ZbbzF9\n+vTbezF5xD0XMD2FC273cQ3DICUlxUshKC+KMleuiDGMsmW9f+65gO3dK1Orlu+gpus6KSkppKen\nU7KkQkaGREyM4j6vnBbChx4y0HVyXATbtBHM1QULAomM1FFVQV5KSEjkp58slC4tExwMdeuK1+/Z\nIxEaalK/vsnDD5usX5/5mMXHS1gsgojy2muZ90aSoEMHnVWrZBIT4YMPVIYOFeLpXbo42bPnD6pX\nd9yYuZRYtCiQmjVNgoOFcHuhQqKUZ7GIkYGvvhLHFnqjBkuXilGNvn3FYP7atQpDh6by228Shw/f\nubGSrJg0yUapUgZXrohens1mMmBAGocOyVy4INOzp5MZM0TJcfRoG2PH2lBVURbN+sgePChTpkym\n72hWHDgg9FgXL86gSROdjh3DuHxZLFCufpSQQJQoXz4lxyH3UqVMypUzkKTc70vRoibNmmlMmmQl\nOVm0B0A4gYSFic+sXDnRb3RtEhctslCokEnjxjpt2mhs3qxSp47Ozp0KZ8/KvPyygwoVDBISJJo0\n8S4Jt2ol3uvxx52ULy+OXbmyzrp1Fi5dEjft119lFixQefNN/wIFbdporFmTuYFavtzCgAFBTJ6c\nwXvv6YSHCzJMkyY6O3fasmm91q9vZ9cu9R/rfZkVvgJmcnIy4eHheT5GXsyjDx06RI0aNdz/rlGj\nBpcvX+Z6bga/dwD3XMD0xO0qy7rYr6ZpIsvyTSsE7dsnZSP8ZP1bX4SfrMpEYWFhxMerDB6s8/rr\ngiaf2zXGxAhFnblz/T8KVqso386bF0i7dg733OrJk2Eoikx8vExyMu4y6OLFQmNWkqBjR93N3gX4\n4QcLffqk0auXznffKdzQVgZEWXbVKpnPPlNo3dpg9GiNlBSYOdOkUCGFjz5SGDhQJz0d/vvfMOLj\nJfr1Mzh0SPQomzY13CXdn3+W2LcPzp6FLl1EHxPg8ccNEhNh3jyFUaNSbmR43pnIndqtf/215cZ4\njIRhCPeWhx/WKVNG59tvBfHH6ZQoU8bgiy+s7N0rM358BpUr+87qcpuv3LNH/F6W4a23xIB/u3bB\n/P674i6lxccHUKeOwf+xd9ZxVpXb/3/vvU9PEpISgijdSgzd3aWEqIggNspFQRDExEAUvQgoXJAe\nQLq7u4SRTskRmDqx6/fHwzlnzsyZIdT7vb/LXa+Xfzhn8+x69rOetdZnfT4xMa6wyhnpWwu8Xvj1\nV4WrV+/8fHr3FmnZjh1FynXTJgs3bwoC/sqVdR56SNz/xo0KiYkiLXzlikzt2jq5coHDYVKsmB6o\n99aurTNvnoWHHzYDm0G/xcXp7N6t0K+fcIYNG2rs3GmlfXs10BIzdKidN9/0kStX1t9Co0Yivauq\n8PPPFgYNsjN/vptGjUIjeOEwbZkQpdWqaezYYf3btS8z2v9VhBnO7rWt5G7Eo1NSUkKccHR0NKZp\nkpw+dfVvsgfOYf4Zia9w5mfp8UOs75UhCARCNn06NuO1paYKJGPp0kFmIv950zMTqaqgvBs8WOfW\nraxJ1tPbsmUy/fvrTJiQub8svbVrp3HqlEJcXLB3dMUKGzlymHTvrtOggXB2hgHz5il07Cjup2VL\nIR6taQK4FB+v0LWrm6eeEqw1gwcHd/S1apkcOybx/fcKgwd7sFiSaNvWy7JlDux28VyHDRPP2eUy\nadnSgdsNCxfK9OmjkxFLFRdno25dG888Y2HXLonPP5cpWtSkUCGT9etlUlMlunXTOHBA5tgx9S9h\nPsnOhg2zkyOHeVv3U0TZffuqpKZKzJ5tJSbGZPZsKz6foBNcsMDN0aNyloQFu3YpAc3GrH5Pj5B9\n+WWV/v29dOuWM9DSsWOHH/CTfX/epUuCxL5DhzS++EK6I19pvXo6f/whUaaMOP+oUU5y5BAI17Nn\nZc6cEdH03LlWliyxUqeORkKCuNfERAm3W2L9egsVKuiULi00MKdOtdKpk6hpprfjx0Wvpn9T0bix\nztq1Nvr08TJ5spVVqxSOH5fp2zd7oEjevCZFihh8/rmNESPsLF6cFjZ96ycq8N+2H1RUo4bO7t02\nnE6BKE1PU/ffoH2Z0cI5alVVw1J6ZmeSlL14dGRkJElJSYH/v3XrFpIk/Z+gcR84h5ne/ozD9JMA\npKWlBUjS79c2bZKYPVtm2DCF8+czX9v+/cJZ2mzB9GtaWlomZqL9+yWKFxciwh9+qPPeewqGESRq\nyGjHj0ukpUm88IJBSorEzp3hHb3P5+PGjTQsFrhxIyLQmvLLLzInT0q8/bZOu3ZC8mv3bomICDPg\n3AsVEiTo27ZJzJsn8+STBvnz69SqZeJ2C87bbdvEea1WQUJQvrxGrlzJOJ1ORowQKdb168UxBQoI\nSrzcuQ2qVNFZsEAmMtLkzBmJjRtlXC5RH/NT5i1f7uPMGR+1axv8/LNCqVI2ypUT0c3SpQ5ee+0G\nsgwDB0YHMgW6ruPz+QKR1V+RYhs/3oLbDamp4vmASMc2aqQxc6aTokUNypbVOXxY5qGHYNo0N04n\nWQpGw51bRvzo2vT20ks+2rTx0LGj83YLUtaAn/To0h07RCpy8GCDGTOcXL8uZ8tXun+/4MPdskUh\nNdVk714LyckSXbv6uHxZoFlfeUVlyRILc+daKF3aoFw5QbY/fLiNXLkMTpyQ8XgEYcC+fWKD89JL\nKuvXWwLsQ4YBEybYePJJnTVrROT5xBM6Fy8q5MghHOAbb9gZMcKbJdduenv0UYMxY2zEx7spUSL8\nOy9aVPAonzwZ+r34BbqPHpUzIUrvpH35Zxh2/pNqmPDXi0eXKVOGAwcOBP5///795M2blxxZqaX/\njfY/h3mPEzQrgvb7HQ/Ehzd6tIbHA9Wq2Rg0SCElJTiWn7Ag43kzMhNt3y5TrZr4N02bGsTEwKxZ\nWb/i5ctlmjY1UBSBSv3hh8wiy/5NwaZNkVSpojJnjrjXK1fg6FGJZ5/VyZtXpFM3bpSZM0cw/qT/\nZlq1Mli8WGbaNIWePcXibLUK9G3jxjqDB1swDJMzZ3z8/jsoiklsbCw2m42iRcVm4YMPglHFgAE6\nZ88qHD6s8M9/ajgcMHasQOXWr2/gcBDo5ata1UaJEjY2bBCApZIlDVavFv2Y8fFOSpeOoGxZg82b\nrSQni8hKURQsFkug5SBciu1e3rNhwJAhDmRZAF5KljSIiDB5+WUV04SJEyOIjTXZs0ehYEGDqVPd\n2GxBQoFwDjMxUeL6dYnHHw8fYV64IOH1kknbEWDQoBRKlDDo18/B/v137tME0U5St67Oww9Dx44a\nP/wQEcJXmtERzJ4NHTt6bosyu7BYxP088ohQJ2nfXqVAAZNSpQTt3++/S9y8KVGtWgSLFlnwekU/\n5bFjCnFxGlOnWuneXSVfPpNHHzXYskXM1eXLFWJjTbp00Vi1SswRiwXq1vWxapWVUqUMbt6Uads2\n61YYvyUkyKxerVCggJml8guIzVhcnM6WLaGRrmma1KihhqXJu5P25f2q3fwn2b1c572IR/fq1YtJ\nkyZx9OhRbty4wahRo3j22Wf/yku/a3vgHOb9pmTvhqD9fhxmUhJcuiTRoYPJZ5/p7Nnj48YNiQYN\nYtmzRxCV795tUrJk6h2J4bdvT8/wA++/rzFqlAVNC39dK1YIhwkCLbtkiei39LMhBWujMaxcaaFv\nXw9z5ggU7OzZogVk4ECx2MbGQo0aBrNnC4eZ3lq3Npg/X+HAAYkWLYLi2K1aGVy/LuHxwIwZXsaM\nUejWTWf3bitud/D+3ntPY8cOKVAjff55gYqtWVPj+ect2GyCvOHQIZl162RKlQreq88HPXvqXLvm\nw+GAunW9xMQIh759u41z5xQGDRJ9mW+/bQ+8R79ajL9p268EAZnZY+4UHQwZYsPngyJFBD1f3rwm\nHg889ZTKsmUWcuY02LlT4eZNiSVL0gKtQydPStjtIkLPaLt2yVSpEl5MGritnRm6cfGbJME333g4\nckREgXcqOZmmICxo0EC86zfe8DF5so3ExPCOwOWKYNEiJ716qdSqpTJtmgswqV7dx6ZNoseybVsV\n0zQpXNjEYoHZs61Ur66zYkUqPp9E3rwmAwaoXL8uUaGCzrx5Vp5+WqRUmzcXVHYA331n46WXfDRp\norF6tWgvAWjQwMOKFVZWrxbHnTuXfdSTmCjRpYuTDz/0kpgocfly9sdnRbherZoQpb4by45hxy/b\ndTf10P+kCDM7jdmMx92teHTTpk0ZNGgQ9evX55FHHqF48eK8//77f8ct3dEeOIeZ3u7Wwd0tQfv9\nOMwDByTKljUDC1/+/DBhgsawYWl07epi8mSVvXslqle3ZksML6IRmerVgx9TvXqCCm72bFem60pN\nFQ62QQNxfO7cIir9178EgbJfuNrpdPLbb8I5tmzpIyrKZMsWiR9+UKhd2yBfvuCY1aqZJCVJVK4c\neq7y5U1u3RItHk5n8GNq3Fhn40aZ1167yUcfRTJzppN33zWoXNlk7drgfbZpIwjn331XLH5CUkll\n82aFY8ckfvpJpX9/nZIlBeI3JkYswlWqiHsbN07h9GmNBg28REeLTUmLFgIgVL++jXr1dGw2k19+\nEc354SwciXV20YF/YUtMhHHjbNhscOaMzNChHtautdCtm0ZEBHz7rY08eXR8PpEuTf88s0vH+gE9\nWVl2YtMgNhht2mjcvCndkTj81CkJTYMSJcTzLFzYpHVrlX/+M3yOc/duBZdLsBQ1aiTS/TYb9Omj\nsmGDFavV5PHHUzh71s2iRQrJySIKd7lMPv1UjPnxx15KltQxTQEYqlRJD2wc/Nyvhw7JHD8u066d\nxsMPmxQqZAQAQfXre1m71kLJkgZPPy2Qx1mZrsNzzzlo21ajVy+NevW0QHo3K4uL09iyJbTub5om\n1aurbNt2/4w/4Rh2Mm7WMtZD/672uHs1wzDumjntXsSjAV5//XUuX77MzZs3mThx4p/i/f4z9j+H\nmc1EC0eSfqcXde8OUw4hLPCP0aKFm9mzExk5MoIzZxTKlcv+Izx/ntv0ZqF/Hz5c46uvIvB6Q8+x\nYYNM5crB6MIwDHr0SGHiRAWHw0lkZGSgJWb5ctGnKcsSnTurTJ6scOKExKhRoWkut1tcQ1pa+GuM\njQ1eg6qqyPItKlZUiYyMwOuVKV/e5OGHRUS6cGFwakoSdOmiM326zJdfypw7B8WKaSQmSrz0ks53\n31no3dvg0CGZkSM11q6VcTohb97guVu2dNCmjcmKFS7sdoUxYzQcDpNr1yRatbLTvbuKYcCXX9ru\nauNzJy1M/8LWvLlo48id26BQIYMSJQTh+Hvv+diyReHkSfk2jZvQdUxvWfG7gh/wc/8OE+DIEZn+\n/X08/7wjwMcbzvx0eOkDhzff9DFhQngB8wULrLRvL8Svly8XmxxNk8ibV0TMHTrojB0bS6VKeXC7\nJfLl04mONomK8rFkiRWPB+bOlTl8WCIy0uT776306BF8NqVLi83OJ5/Y6NNHDdQmmzbVAvR2Dofg\npW3VSqVXL5Xp062ZeHb99tlnNlRVqMOAaFPxR6ZZ2aOPCsL/jJFr8eJC+/NOEXKI19wAACAASURB\nVO29WFaKI/40uJ8k5a9SHLlbC0e8HnGnJt3/z+2Bc5h3k0LNjiT9bse+W9u3Twog8dKjXwHKl1f4\n4gsByx8/PnuHKeqXmVNw1aublCihMW1a6AKwcqVIx6ZnJKpZ08BikdmxI5SRyF/rBG4jG2Vy5IDK\nlUPPtWqVTNmyJitXhk4rPxBo3z45pHHe5XLRpo3MokUWkpLgzBn/IqezbFkokXiPHoJV5Z//VKha\n1cbcuUJ82GolQA5fsqQggG/c2CA1VVxPnTpCIuvaNZnVq61s3SqTlCTAQxUqqNjtglItIUHGbodJ\nk6xZOvw7WUagR3x8DAkJImX8++8yP/10g48/tlKunEZkpIchQ6wkJ4u+0po19UwtD1nVLzVNiEJn\nVXv0eIQzTE9okNEMA7Zts/DiiyqdOmm89JIjS5T0hg0KdeuGbo6KFTNp0kTnhx9Co0zThAULBOGA\naQpmH4fDJH9+g82bhQbmkiUK33xjp0YNjbZtNWrVMnG5oGlTQWYxb14y0dEGY8Y4yJ9f48gRhcaN\nU9OlI03q1RM1y2efDTrSZs2CfZTjx7soWVInIUGhbFmDPHnMsFyv69YpTJ5s5ccfPQGUdYMGOuvW\nKVk6WBCbuHBpWUkS4tZ/Jsq8k2VMg0uShNPpzFJx5O+qhz5oWpjwADpMCCUvyDiB/CTpXq83LEn6\nnca91wm5f79EpUpmJvSrP1I5f16mUyeDr79WshU+3r5donr18Od+6600Pv/cGqJruHKlTMOGvgAj\nkbhXFy+8YDBhQvBjT04WxOx16wrZsXz5hHBvRtWUc+cE0KR3b51580Kvc9YsmWeeMTh9Go4cEb1T\n0dHR2Gw2WrYUSNd69QyKFIGZM2WKFoX8+c0AehYES48gJRB/Gzo0lVy5TMaMUahQwWDwYMFNO3Gi\nwtdf+7Dbhch0zpwKDodwEDNmKDz2mBEgZ2/b1kuePCYvvKCxZYsFl8tA1yV+/tlx5xd3B/vjD3j9\ndWcggm/RQqNQIQcHD1oZONDLokU29u0TK7THA0OG3ApBmSYmCicbDnxy5IhMvnwGOXOGP/eBAzKP\nPZY9I8+xYzIxMSb585u8956XCxckpk7NnD3RddiwwUL9+pm9x8CBPr7/3kpKSvBvu3bJuFwmpUqJ\nurWqQp48BlevysyYYSE1VTiVXr1UbDaJ9u01rl8Xuqhvv+2gRAmD+vUlPvxQkFacPy8iQ7s9lK7O\n59OJiDCJjVUD31yVKoIQ4sABiUmTInjvPS9Ll4p+5B491Ez3l5go0a+fg/HjPeTLF/x2ChY0yZfP\nZO/e7L/7jMAfvwP5ux1mRvP3f2eX8dA07W/vD/1vVyqBB9Rh+i29g/Oz9PhJ0v0E7fc73t1YWpqo\nDxUtmpoJ/eofa+9e4ayWLlUZPtzCunXho9gdO0Lrl+ntySc1ihc3mDpVvO5jx0xSU00KF07KdK9P\nP62zcqXM1avi327YIPPEE0LWSJIkFi60IMsixZbeliyRadbMoF07g5UrhUYmiGho9myZNm2SaNzY\ny/r1MSEbkKJFhcNo3NhgyBCNTz8VO/vWrY0QwoMzZ6BUKZPkZHH8li1WSpTQMQwhYbVsmczChRKH\nD0NiYgpdu6o89JDJL79YUBSBnJRl4UzmzhXjtmzp4fp1iYMHZYYP9/DHH4KqbswYZwA8cr/WuLEL\nwxDXCvDDDx6GDRPUcLIs8/zzUeTJY1K1qk5srEnVqnIIynTjRo1KlVRMM3N6bedOhWrVsl7oshOb\n9tvWrUHBaJsNJkzwMHy4jTNnQt/rwYMyefIY5M+feV4//rhB7do6P/0UdES//GKlXTuRjv3wQztW\nK6SkyFSqpHHqlEyBAgZlyxoMHOhj925Byr5nj0KTJhp79yqBtOjx48Khx8YKQo/nnovG4RCoXIvF\nyfr1dlQVzpzRApGUz+ehUSOVoUPttGzppmlTcX+//irTsaPKmjVBrU7ThJdfttOlixZWfaVRIz2A\nus3K0keYHo/Y4Pz2m0yZMsa/TVA6u/UmXGtLVvVQv/TZvaRyM0aYSUlJ/4sw/5vNT2fnT0nKskxs\nbOx962Peq8Pct0/j0Uc1rFYjALDJGP36GX5KlDCZMkWld28rGVuV0tJEi0dGsE3663rnHR+jRyuk\npHhZuNBHgwYqsbGZCeFz5BCCzVOnig9+1SqZJk2Ci/PYsXbsdsE8lF4oeNEihVatDPLkEVJdq1YJ\nB7BihY/8+XVKlVLo0EFhyZLQXf7ixaLv8PRpibp1TXLlgvnzZVq3Npg3T2HkSIVy5aw0aGDj1Cmx\n0FWsaKKqEv36CYmn2FioWNFg7lyFP/6Q6No1F6VKybjdEpIkOFfz5xeyUbouzun1isinYkXjti6n\nStWqOmlpgm1n2bJ7a75ObyNH2jh+XKBYVRU++sjDlSsSCxZYyJHD5PnnnTgcMH26m337FJo29QRq\nVP7IYO9eJzVqaCFahP7IQIhJZ92Enx1YyG/btinUrBk8pnRpg9deU3nlldDU7J3kvN56y8fYsTbc\n7qCiR/v2Gm63cHoVKujExXnZt0/MJ6tVbB6WLbPQoIHGyZMyDz8sSOglCVq00APXV7y4QUyMyUsv\n+di1S2HoUDFXFy2yUaKEQYsWOmvWRIUQLFSr5mXLFguvv56Cx+OmaVMvixbJxMYa1KunMW+emH9T\npli5cEFm6NDwbOmNGmmsWZO9w7TZTK5ckYiLc1GkSCTNm+egR49IevZ0cuqUnCWA7O+wu12vsqqH\nKooSKEX9Tzw6a3sgHab/Jeu6jqqqAZJ0l8v1p+DZd+sw/f2Nu3bpVKpECMAm/Vi3bsHvv0s8/rgY\ns149kyFDNDp3Dq2z7dkjZL8cWWQSJUniiSd8FCyoMX06bN7sokWLrLVA/alNXRetJ02aGFy7Bt9/\nb+f4cZnSpUWfml9G69Yt2LUrqKfZsaPO7NmCkWPOHCvdu5s4HA6aNDHZvVvi5k058JzGjVN48UVB\nnydJMGiQzqhRCmPHCtq8EyckJk/WmDdPxeMR+oljx6qcOaOQmirxzDM6J0/CkiXXaNRIo3Ztg4sX\nBVuQqopFPE8eg0uXxIJcrJiJYUCnTpbAtebKZbJ4sZUlS9y3lTMkxo27v7Ts/v0yX3xho2BBg717\nFfLmFT2C3bo58fkEx66iwLffenjnHQdFi5rUqxe6aEuSxI4dFuLiCNEi9Gcetm+3UKFCatjIwDTv\n3mH6I0y/vfyyj+RkKaA0AqL/MjuHWa6cIJCYMsXK3r0yNptwvqNGiTFSUyV27bJRvLiYG2+8oeJy\nCZ3L9u01tm1TqFhR1DejosyALNi2bQrJyRI9eqg89ZSo469YoTBhgpXvv7fRv79K69YaixdbQgBY\nBw8KYW6XSyi4NG/uY+lSC263m44dU/j5Z5njxzVGjLAxfrw7S/WfGjV0EhKCsnbp7ehRmS5dnDRq\n5CJ/fpNmzTTOnk1h//7r7N6dzPnzKcTF6Wzf/n8jKH0vdieGp6zEo8PVQ/+Xkv0vNX+90Ov1Isvy\nXZOk38nu5DAz9jf+9puLKlWyHu/AAYVy5cwQyrcXXjAoV85k4MDgH/2An6zO6a9fDBrk4+uvI9my\nRQm0k4SzJ54wiY42mTZNJiUF3n7bQtmyNr75xoHFwm39SYm33rLQvbuF779XiIsT9GWGYdCwYRIr\nVyr4fBEsX26nUyfxTFwuqF/fYOVKsUodPixx4oTEG28IDcVDhyT27JE4flwIGvfpo/P44yYVKpgM\nGGDho480OnQwWLVKYcqUZN59107BgqncuiVx4kQs331n3KaSM3A6BZLRYoELFwRln6II9OLDD4sI\neM4cB23aiBra/PkWHA4YMMCHacLRowoHDtzb55GSAs2bu1AUUTM1TejSRaV8+UguXJADz+3xxw3S\n0iQMA86dk6lZM5QQ3OOBQ4dC20b86bUbN+zcuiVToYI9bGSQkOBFkkzy5fNlCfK4eFEmLS3YJuI3\niwW++87DiBE2Ll4U/bG7dinUqpV9flrMKxvz5llo105FkmDyZEEyf+qUTJMmXn79VaFIEZ2lSy0k\nJorWkyZNhMO8fl1CUaB7d42ffxaOdssWhYQEma5dNUqVEpHm0KFeRo2yc+6cRPPmGg0bijSuP5I7\nf15i/nwrdetqrFnjwGKxULu2zOnTFv74I4LmzWXOnLHwwguRvPRSKoULJ2cZSdntokbpF6cG0Yr1\n1lt2WrZ0Uq+extGjqfTr5+PqVSnTZtVPn/d329/Rg5kRAR5OPNp9u+bi9Xo5e/Ysy5Yt49q1a/9L\nyf43WlpaWkBU+W4bbe/GsnOYfvRr+v7GfftkKlXKOo26f78l0EsY/Dt8+63G5s1SgDBdEBZkHic9\n4lZEeFZsNnjoIZH6zPo+hLMaO1ZBlkVdc88eH263hK5LzJqlsnOnSnQ0lCpl8OmnYtG7cEEgi/Pn\nFy0rY8Y4qFDBpECB4Nht2xosXWrHNE2+/17h+ed1bDaIizNo3drK/v0Sn3yicfmyRNeugm5v3DiF\nmBiBlO3YUWfOHJnHHvMyfvxNhg0TO9qOHW1s3CgzapTGhQuCu7ZfP9HYL8sQFQW5cgkg0KVLErIM\nr74aw+nTEuXLG+zaZeHGDRgyxIcsC3DR99/ffVrWMKBhQxdut3BEN26IaOvgQYXoaIOWLTUMQzzb\nYcM8fPCBjb59fRQoYPDQQ6HveM8eAU4KJ2Xqp7tTlPCRwd69TqpV09B1LUvauh07bFkKRpcubdC3\nr8rbb9vZsUO57ayyv/fKlQ1KlTKYPt1K27Yax44JSbe8eQWjkc0m+mO//trL7t0yP/1ko2FDDZdL\nOMYtWxSKFDF45RUf8+dbOXNG4upVifr1NXLnNm+/X43Nmy2UKaPjdkvcuCHhckG9ekESg9GjbTz7\nrI+OHTWWLbNz+bJEx45OIiJEBsFuF2CoK1cU3nyTO0ZSDRr4WL1auV0akaldO4LkZIndu1N56SUV\nh0OQwm/e7Nf4DDqvGjX+PQ7z32UZ66Gu22rzFouFS5cu8e233zJ8+HDee++9gLTX5s2bw4KKfD4f\nffr0oWjRosTExFC5cmWWL18e9rxTpkwJCEtERUURHR3Nxo0b/9Z7zc4eSIcZFRWFy+VCluV7qjne\njWUcLz29XERERCCa9Xrht98kypXL3mGGq0tGRcHUqRpvv23h3DkB+EkfYWY8p39nKEl+4IyIbrKz\nbt2EuPTQoRo9eoj6YKVKGo8/rpM7t9iBd+pkoCiit650aQ+1akVw8GAsLpeLjh0F60/nzqHpvJYt\nBQ3d+fMQHy/z/PMCVbt8uYzDYTJ3rka/fgYnT4pm90uXJD7+WOHbbzXApGpVN5cumZw6ZaFBA5l1\n64Tjvn5d4l//khk8WNQJT5+W2LtXols3wQqUnCzEsEeM0NB14eAiI00aN3bw5JMGOXOaLF9uweWC\nVq18GAbMnWsJkJRnZ4YBPXrYSUiQyZVLRFUeD3z1lYdatUTD/aJFFooXN+jYUWP8eDs9e6pcuiRn\natcAAcjx1xcvXpSYPNnKyy/badbMycsv29m3T6ZZMyevvWbn558tgR5KSZLYtctKjRpmSH3KarUG\nAEVut5sdO6w88YQ3y/rUm2/6OHZMZsIEK/Xq3R36qWNHlVu3BPXg66/bURTYt89C//4+pk93YrNB\nvXoGPXsKBZH27TVOnpTweiUKFTLo3l2lYEGTKlV0vv9ebOzS91527qwSH2/h0CGFp55SGTBA1Frb\ntdOYP9/KqVMCkPbqqz6aNlVZt85O7douatbU+fJLDwsXWjh9WuLQIZH6l+U7R1J16rhZvVph8mSD\njh2d/OMfqYwbl0KOHMHnVaqUwY0bonSS3qpW1Tl6VA5BEP8d9n+tVGK1WqlevTpLlizh1Vdf5YMP\nPqB58+acOnWK4cOHh702TdMoXLgwmzZt4tatW3zwwQd06dKFc+fOhT1HzZo1SUpKIjk5maSkJOrU\nqfN331aW9kA6zOzaSv6KcSFz+jUj9+vhw4Io3enMeqwDByxZikZXrGjy8ss6PXtacTjg4YfvfE4Q\ndGsxMWagdzEr89d2zp2TbhNcy+TJY9KgQTB9+PTTGhMnShQurPHNNxrjx+v07Gln+nSZxo0NLlyQ\nAv2bfouNFajdDz6w0aSJABcNGmRhyRKVpCSJixdFyvfll0WEmzOnSfnyBkWLqiQnJ6PrPtq3N1i8\nWOxwq1Y1OXJEXNPu3SL1mpAgeFSnTBF1zIgI4dSOHpU4dixYa3W7RaQ5dqxwjAsX+pHCXiIiRGP6\npEnZE1X4fNCnj4OlS63IMiQny4DQdSxb1mDcOBsnTsjIMvzxh8QjjxhcuSJAWH5+1oy2dauCxWLS\nooWTGjUi2LRJtM4MGeKjYEGT99/3MmSIj5IlDVautFCxYgRPP+1g926ZHTtCyQ7Sgzz8vK/bt9uI\ni9PDAoo0TYDQxo71smyZ5Y5oW7+dPClToIDJtGlWtm4V9UiXCxYvtpIrl0nlykJmrFMnjYsXJWrU\n0Fi9WmwcL12S6dhROOZevVTi463ouknjxsFzFysmxAeqV9f48EPRBjNtmoVmzQQV3YgRdvr2VcmZ\nE+bNs6JpEs89p/LOOz4aNdI5fFjhxRcdvP22D6fTZOfO8PM/fSRVqpQNr1fmk0+iWbgwmXbtvJlk\nz3RdJS5OY9Om0PGcTihfXs8kRfZX2/8Vw09W4tFlypShV69efPvtt6xZsyasw3S5XAwbNoxChQoB\n0LJlSx555BH27Nnzb7n2P2MPpMP029/hMNOTD6RPv4bTt8wqHQuijy8xUc5SMQEEj+u1a5A7t4mq\nqpko7TJuDK5cES0Yw4bpfPpp9nJe27dLlChhMmOGwtq1Ek6n0EJs2FAN3OPjj98gJUWiShUJu91O\n06YmK1aI9pePP7aQKxdhF6aWLb0sXCg4aWfOlNmwwccTT5i0aBFk+Hn2WZ0VK2SuXJFITjYDbEtR\nUVF062YSH28LXH+uXFCzpskjj5jEx/t47z2NRo1EZPnzz3JI/+nPPyusWSPOoeuibidJ4PXCsmWi\nvla3rhr4+5dfWrOMxs+fl6hWzUV8vLiXIkVE+0XevILm7tlnndhsJo0bq6iqQJR+8YWNCRM8mKao\nD8bFBSM404RFiyysW6ewfr2Fvn1Vjh9PYdIkDy+8IFC8p04J51K7tk7//ipTpnj49dcU6tfX6d7d\nSUKCHBIBZbTERIlLlxQqVZIzAYog2GpQuLDol12+XLpjq4EfHfv2215GjLBjGKKdqFIlnchIkytX\nFLp3Fy9h716FggVN5s618vPPNooUMShfXqdgQfP23BA15Vq1QuXa3G7BuyxJog1GtOnYSU6WqFpV\nZ9UqoYc5aJCdCRNsvP56CidOiPdstwsVkt9/l3n5ZZWuXTVmzcp+I6Tr8PrrdqxWkx49VMqVkzOB\nYvzk/NWqeVi7VjgRVVUD/Y21aukBkvi/0/6TtDDvp4Z55coVjh8/TpkyZcL+vm/fPvLkyUPJkiUZ\nNWrU36oteid7IB1mxgn2VzlNP8AmveRXVmCi/ftlKlXK+sXv369QtqyWJbk2iMW+cmWDY8cgIcGN\n0+nMEnFrmoKftW5dg44dhYhyVj2dAKtXi9aOQoVMPvrIQqdOOhcvylSo4CMlJQW32337XJCcHByn\nVCnRSjJ7tqgX+Xse01tsrElqqsSpUxKrV6sULCj+LiTCxLVHR0NEhEnFij7OnpVJTo4NsC1Vr26S\nlgaHDwfHfucdjSNHJMqVg8GDDd58Uyc2NkiRBgQo1Gw2EcUCASQtiCj00UcjGTHCSdu2XqKjTdxu\niRkzQp9naio895ydcuUiOHNGvs1JqxETAzVqiB7EOXOsXL8uIqbNm62ULavz1Vc2xo3z8NhjgvP0\nsceEJiiItpp27ZwMGWKjYEGTjRvTaNdOC0Fx7t2r3FY6CX2e0dHwwgsqX37p4eGHTRo2dDF5sjXs\nhmj7dgtVq6ohzsgfVaVvNdi1K5KaNTUWLrSzc6eeLUoyIUG08PTqpZGaKsZ0uUQPZ/fuPlQVunUT\n6dX58y306ePju+9sHDokkzu3QefOwU2D2y3eQ0anP2eOlapVDbZts5CSAmXKGPTpozJwoJ2UFMiT\nB1591cGRIzIrVqTQs6eblSuFpNrFiyKzkCePQCh37qwyf74Qig5nug59+zo4cULm8889mWqRGfle\nGzVS2LYtiPrxbzoqV05l0ybpv0b/Mr2FizCTk5NDhJ7vxjRNo0ePHvTu3ZvHHnss0+9169bl8OHD\nXL16lfj4eGbMmMHo0aP/1LX/GXsgHabf/ICfPzuR/anQtNu9Huklv7KyvXuz7psUvwvnlN05PR4P\nR46YdOvm4913c2K12rLdba5eLciwhTKHzqefZg17X7NGHNutm87OnRLR0UIyCbRAEf70aRtWq8T6\n9aFRXO7cokZ04oSoTabTfgXgk09c2O3wyis66SXtGjUyOHBA4soVg7lzvbhcOgcP2mjWzGTBguC1\nyrKomc2dG3zGDRuKFODHHyu88YaFfv2sfPGFkP5KSPCRJ48ZcD6aJtRZZJnAf34HouswYYKTadMc\npKUJxzpokIMDByRmz7bQvLmTggUjWbrUGkDDduigoqoSZcvqyLJE0aIGy5ZZ6NFDJS1NSImJlKCP\n5s1FmnHdOoX69QV93E8/uahf30XDhhovvKDSpIkWFpCTnXYlCLBQ164qy5a5GT/eSr9+jkw0f1u2\nKFSvnvW8AvFdbNhgpWlTnZEjvQweHIvDEVTR8KMk/YCiefMkWrb0kZAgqO1kmYA494oVVgoV0gMI\n4b17Ffr1C7Lz/PqrhbZtg55r/HgbLhesWmXBe7vbxjRh3Dgrb7zho0YNnV9+ES/rrbd8HDwo0LRn\nzwpkdXy8m5gYkzx5TCpWFOQDb7zh4MUXVU6cEBmLRx4xKVHCYPXqzLtRXYf+/R1cvy4xd64gPzhw\nQAnLmeu3UqUMUlLgwgUlhCSgdm2FgwetuN1mplTuX8X3+p+kVHKvfZimadKjRw/sdjvffPNN2GOK\nFi1KkSJFAKGLOWzYMObOnXv/F/4n7YF0mH9Wkiu9pU+/3i3q1usVdbby5bM+7+7dMhUrqmGvzU/f\nl5iocvashc8/l7hyRWL69KzrMoYhIsyGDUVU262bwenTEtu3Z77W69eFuHS1aiISVBRYssSgbl0v\niqIE0r1Llsi0aWNQqlRoTXTRIpn69Q3i41V0HcaNC/720UcKJ08qDBzoCVDU+c1uN2nQQGPWLB8f\nfBDB55+b1KtnEBlpEh8femynTj7i422BdKkkCbagceMUzp6FXbt8dO9u0KWLoPrr3dugXz+dJ58U\niM1JkxTy5hVIUYtFaDSmf22C8EA4gORkiUaNXPTr5+DwYRmHQ0SmuXKZ1KkT5CsdOdLL3LkWNm9W\n6NnTx/XrMuPHW9E06NlTDSFXX7/eQuXKOk8/7WTWLCerVqXx6qsq27eHEgqkt3C9k+F+F5qfaWia\naHO5di14Y1u3WqhRI2vSA7+tXSvo8J5+WsPlMpk0yRaIqtLrYFqtVhYtstG8eVpATSY62sDng3fe\ncbNxo0KjRh6E4LiFRo00LBa4eVOISNeurYVQ/M2aZaFaNZ1y5YzAJmndOgVJgvr1dXr0UJk2zXp7\nvohyRFqaRMGCJvXq6SERebt2GmPHWjl3TmLwYB/Nm2vEx4sxu3TJnJY1TZGGvXhRYsYMIeDtckG1\najobNmS9uZQkgZbdsiW4YZUkiZgYmZIlDQ4dcoVN5WZE5d4PVd1/UtSampp6TynZ559/nuvXrzNv\n3rx7auv7v7znB9Jhprf7dZjpkajp0693M9avv0oUKyYioqxs715BJ5Z+vPTqKQ6Hg6NHo6lYUYzz\n3Xca775rCdtoLUkSR4+Khb54cfE3qxUGDtT47LNwhNQytWoZKIrB1KnQrJmHzZtttGgReuzSpTIt\nWxr06qXzr38Fp1J8vEzHjgZPPmny3HM6n30mrmvxYpmvvlJo29ZH794qy5cHKfT8z7N58zR++imK\nvHklmjUTwKY1a2SOH5c4ezZ47jJlDKKjTbZuFQvU5ctw8KCQoRo8WA+0QgwcqPHjjwo1awoO2QED\nVB57TNDRXbqkoGkiIrpwQaB0/WxADocZsvh6vWJst1uiSBGNHj1SSUmBfftk2rTx8vzzXtq0ceLx\nQLFiBv/6l+hLlGWT6tV1vv46SE5w65ZIJ//jHw6KFTNYuDCREiUE6UB6hGx603XRUpKVw/R6CRGD\njoiAiRM9NGqk0aSJizNnBBHGyZMKFStm7zBPn5ZISxMtJpIEX33l5ZNPbCEakf6G9zNnrFy/LlOl\nipW1a+23o0vhDBMSfCQlSXTtKtpa4uMVOnRQmT3bQs6c4n7LlAk6iAsXJM6ckenWTeXFF32MHy8y\nCOPG2RgwwIckCYL1336TOXlSYs0ahV9/lSlc2KBqVZ05c0IdYK1aAnTz2WcebDbREzt7tjimfXuV\n1astIdmP99+3cfiwwqxZ7pBvs3FjjZUrs1/Q69TR2LIlc1apdm2NTZuUwDPLKN0VTuEmvXTX3aRy\n/1MiTMMw7trx9evXj4SEBBYuXJhtNm758uVcvc3TmZCQwKhRo2jXrt39X/iftP85zHt0mOGQqP4X\nfrdj7dmTfTr28mVRyylcWA+cM6N6it1uD+GPrVrVpH17g/feC78TXr/eGogu/darl8HevTIHD4ZO\n/DVrJOrWVVm/Pg2vV6JrV9HXmD4S+OMP4aDq1TPo0MFg61aZS5fg5k3YvFk4UoAPP9TRdWjf3kq/\nfhYiI2HAAM/tlJnJihVS4HlarVZatrSTkCAxcKBIS9asaRIVJYi1588PfoySJNGpk5fp0xWuXIEm\nTaw8/bRBwYLwwQfB44oUEb2fW7cKBO4jjyRz6ZJC6dIwYEAakZFCzNk0hTM0DLDZDFJTpUBKMG9e\ncS8LFqQxerSH3LklJk+OwOcTrS+TJjmIi4vk0CGF0qU18ufXsVhMcuQwt7C0zAAAIABJREFUKVrU\n5N13Q1OgI0bY0TT49FMvH37oDdRWExJkoqIIAGDS26+/yjz0kEg1hrP9+2UefdQIEYOWJCEj1q+f\nj5YtXSxYYKFyZY07VAtYt05El/71sGRJg2eeUXnnncy0OAsXWmndWmPiRFEz9TP6NGum8f77ObBY\noEwZ0Vd76JBCtWq3+OorK1argSSZbN0abO2aOlWkuevU0WnaVOfaNYl58ywcOCAH6pw2G3TtqvHT\nT1Z69XJSvbrOkiVu1q2zcOKEqIv7F/PRo20UKmRy+bJY5urW1blwQZBl5MolyAUWLRLfy7ffWlm6\n1MLcuWmZ+l+bNNFYudKSLUiuTh2NzZvtmY7JSmjab+H4XtNLd90plfufEmHey3WcO3eOH374gf37\n95M3b95Af+WMGTM4f/48UVFRAfHoNWvWUL58eaKiomjVqhWdOnXinXfe+btu4472QDrM+03J3g36\nFe48ebZuldm7V+LHH2WSkzP/vmePTJUqJrIshYhXZ1RP2b5dDiEsGDFCY+lSOUTlw3+P69fbMjlM\npxNefVVn9OjgB61pOqtXS9SsmUp8fDTPPGNy9KhC4cImc+ZYAve2cqVMnToGDoeIZtq2NZg+XWHR\nIqE84l+4IyKgeXPjNn2fQd68JpUqCcBI+/Yqs2YZqKoaeJ5z5ijkyWMG+tokCQYM0ElMlDKlZTt3\n9jJvnky7dlY6dDAYMkTnhRc01q+X05Fsm7z2WhoTJijUqqWyf38s9esLIoFZs5x07ZpGly5uevb0\nBByEzycUN/x25Yo4b7t2Lv7xD0EP2KCBxrVrKQwa5CMlRcJqNcmVy+TyZYWtW6106uRhzpzrXLsm\nUaVKKqqq4vGIHsU5cyy89JKP1q1Dexw3bVKoUyd836OIPLPuidy61ZJlKvfFF1Vef93Hu+86KFPm\nzm0ia9eK+mp6GzRIkKVnFFb+5RcLbdpofPmlIJa/fFmiZUuN4cO97NihUL68qBUvX+6ieXOd3btj\ncDrh/HmFVq28nDkjM3myzpo1KhMmWIiONsmfX0eWTfr29TFypI3nnlNDmHS6dFH57jsbkmQyb56b\nhx8WfLOxsWYggly1ysbOnQr/+IeXmTPF3ywW6NBBC0SiXbuKiHPuXAvffWdj/nx3WEKPRx81AyCm\nrKxYMYENOH489JgaNXT27lUCJPx3suyo6sKlcv3O89+NHA0XYd4tCUzhwoUxDIO0tDSSk5MD/ZVP\nPfUUhQoVIjk5OSAePXr0aC5fvkxycjInTpxg+PDhfwkr2/3aA+kw09vdOMys0q/hxrobO3xYon17\noepRqpSNESOUEMe5a5dElSrCqaSmpgbEq9Orp4gUnRRCWBATAx9/rPH665YQLT+fT2LnTgv16mX+\nqF54QWfdOpnffhMMSPv3p2IYEqVLRzB/voXu3XVWrZLp3Vtn/Pgg8nLJEpkWLYLj+dOyc+YIOTK/\nmaZo6o6NhW3bZJo00QGxc27Y8BZr19pRFPE83W747DMLr7yiEx8ffL6dOxucPy/djiCC154vn6C+\ni4yE4cPFDT/7rDj3jz8qAQrE/PndtGmjYxgWli+XadtWZeNGmc8/97FihYuVKx3s2mXlscc08uYV\n46Slpd9UgdMZnCPXr0usXWshNjaSQYPs+HwC5JKYKFG9uk5CQirffKOza1cUTZpo2O0yly4ZtGrl\n5Px5gxw5DNq1c6Np6VtKTDZvVqhV6/7ql1u2KMTFZf37Cy+oxMaaLFxozZaMQddh48bMcl4uF3zx\nhYc333QE0ujnzkmcOyeh64IMwx+lv/OOD59P1L79n8m8eVbat1f5+msbjRoJlZl9+2xcvSrz7rux\nvP12DDduyJQvH5Twqls3hdOnZVq18ga+URGZi5aiZ58Nike/8orYuEyeLEStBw2KYuxYDx06aOza\npXD1qrjnrl1VZswQrULNm4vfBg60M2eOcLxZWdOmQa3N8GZSu7borRXPQaCpnU4BCtq58/4X+exS\nuSDWp/tJ5f4ZC+cw/1Oi3b/T/ucws3GY2aVf72c8EB/SiRMSb72lM3OmxoYNPs6dk6hY0caiReJ1\n7NoFpUoJihCXyxVWvProUYmHHjJ56KHQ8bt2FdHdxInBV7ttm8xjj4UiUv0WFQUvvujjo48MdF1n\n584YGjY0WbxYoUoVkQ49fFji5ZcN3G7RlqCqAnHbrFnQMdasKWjnNm8OdaTffCMWENMUtcJffpFJ\nShIpyuLFo6hSxWT5crGYTJyoUKWKwUsvGezaJXHtmhjD4YDevUWv3qxZwXrQhx86yZ1b1Br9j8ev\nlvL11zI3byYFEL1Dh+ps3iyzYYNg19myReHCBUGxlpQk8dxzHnbv9rF4sUpEBFSpEhR09jsCAI9H\n1DL9/YCSRAA4tHPnTaZOTSZHDkGGvnixhdatdQ4dctC8eU7q1TP5/HMfqakypUtrgXSbGNfL5s0K\nNWtmBnqZJtk6U10XhOtZRZggehhv3JDo1Emle/ccYTMbIGrnBQqEl/Nq0kSnYkWd0aPFN7BwoYWW\nLTWGDnUE0MYFC/q1MC1ERAjtzq1brSQkiKg9IUFm3Dix8frqKy8XLqSQO7dJ3rwmTz6p07ixGQAU\nzZ8fQcmSOjNmKKSmppKamsYrr1g4c0awAx0+HHRCLheMGuXljz8k+vaNoGFDH/Xq6URECC3SuXOF\ns6tc2cDlMtmyReHcOVFqaNdOC6mlhrOmTTWWLw/vMFVVpLGvXpX44AM7hQtHUqhQJMWLR5IvXyTH\nj8usWvXXRkX+VK4sy9hstntO5f7V5vP5MpGk/DfaA+kw7yYle7fp13BjZzcpDx4U6iP+FFPx4jBp\nksaPP6oMGqTQv7/B7t0yNWtaURQly3Nu2xZeMFqSYMwYjVGjLAGHs26dhbp1M8sY+TVAe/a8xcqV\nDhITo1i3TqFhQ8HA06OHiD5r1DCJiID+/TUmTYpg61YBzU/PEStJUKGCSe7cZqAGtG+fxGefKUyd\nqlKihMGjj+o8+qjKl18KBiJZlunaVWf2bAH++fJLhSFDhHBw06aCR9ZvffvqnD0rkMD+Rvl582ws\nXKiyZ4+oT4JAEPfunUJaGmzfHovzNpVS/vw6zz6r4nSajBwposJZs2SmTbtB3rwmCxY4kWWJUqVE\n7TEpSebcOQ+3brmx2YRz9KdpO3d20717Gq+8ksrixUm8+qqXF15QKVXKGljEEhNN9uxRuHjRoHNn\nJx9+mMa773rYsEHIZTmdwXQbwLFjViIiTHLlSsvEvHPsmCD3LlIk/Lw6fFgmb14jwLsafr4oVK6s\nM3y4hzJlNJ57Lrzm55o1Fho2zNrxfvqpl8mTrfz6q8wvv1ipXVvnyBGZ6GgTu92kZ08BKJozR5A5\nvPmmj3feiaFBA51evVy3naOoCzZooON0Qt++PnbsULh5U+LJJ3UkScLtlpk82c7o0V6mT3ehaRF8\n+WUMv/5qJSlJ4pNPbrJ/v8SRI77Ac+rcWSUiwmT9egvvv58auOZu3VSmTxdOWpIEYnnCBCudOzvp\n1893V2w8cXE6x4/LgUgVRKZh1CgbZcpE8OGHDkqV0tE02LUrhevXU7h8OYXff0/h4489bNv29yiX\n+CO9e03l/lkB6QdR2gseUIcJWdPj3W36Nbtxs3OY4QA/pmny5JNpLFt2jVOnLLjdEk6nJVsHvW1b\n1oLRZcqYdOumM2yY+EjXrlWoXTvoMP09nH4N0CJFonn+eZ3Roy1s3ChTurSoObZpY7BqlaC5A0F+\nvmWLjZkzQ6NIvyUmSly/LpGUJCLp3r0tjB6tkjevh7NnTf74Q+bbb2HmTDt79oip17atwbp1Mt98\no/DEEwYVK4pn06mTwZw5wedeqBA0aGCQmCixeLHEG284+PHHZAoXhvbtDX7+WQ7URNq0MdE0iS++\nsKLrOpqmkZIiopDr1yXWrJF5/fUUChUyadzYzqef+ti3T+aLLyxIEnTrpnP+vMTFixIWC/TurQXQ\ntKKf0Mb338PQoTqVKulMnWqjW7ebpKSk4PP5ME2TRYscREfDTz85WLo0ldathbbl6tVi85Jxx791\nq4P69fWwIr9r1+pUq+bNMlLILvoMHmOhVi0B5Pn00yR8Phg8ODOIZ+1aIeqcleXLZzJsmI++fR0c\nOyazeLEQFE9KEot2x44qR4/K/PGHRFyczoABPs6csbB0qaDBW706jQsXJF58MYjUTUkRTFKnT8uU\nKyfm1dSpVuLidOrUMWjcWOPll53MmWOjRQuNMmVMWrSw0aOHxtSpEYHndOVKGoYh3n1amhF4TnXr\n6ty6JbF/v5hzrVtrLFoklFXef9/HzZtSCAlGOLPbBTnFypWifDJypI0qVSJITJRYsMDNqlXJDBuW\nSvHiBmfOBOetzSaI448cydyP/Hfb34XKhfAOMzKcWsB/mT2wDtNvfgd3P+nX7MbLynbvlkMUSNJT\n2hUqFEXv3iKSqF/fyvnzWbepbN8uU7Nm1ucZOlRn2TKZtWslTp6UqFJFLFB+EJHX6w2Q0EuSxGuv\niUivQAGTVasU2rYVElkrVwYdZlQUdOqUxoIFSgAF67fERNi/X6JhQ4NZs2SGDlUoV86gRYubrF1r\nkjOnTHQ0nDkj89FHHl57LQJVFdyydeoYfPGFwrvvBhf9Zs0MDh+WuA2WA+Cll8TvAwZYefttHxUr\n+vlHvUyaJKGqOjExMeTObadFC51ff5XYvl0gIMuXd3H0qETPnm6uX5fp3x82bbKSkiLRsqWBLMOU\nKRZGjbLSoYN2u/dUuX0touYm9DhN1q8X0ZDVamXp0gjKlTOpUkUsRhaLhW3bJIYMsfPwwyrLliVS\nrJjvdgRgY+NGK40bmwHif/U23cz69TJxcb7Ajj89886uXS7q1DEzqWr4o9BNm+QQir1wtnGjQu3a\n4vlZrTBliuiRnDgxmEYT7S7Zp3bF81ZJTRVUgEuWWLBaxZjFixsUL24SH2+hQAGT2rU1Zs60oqri\nu+jb18fy5RYUhUCNVNeFc+zYUUWWRc3T54NvvrHx+usidR8XJ3Qvv/sujfHjbYwaJTZ/zz+vMmOG\nDVUVz2nkyJy0a6eRJ4/BO+9EBSTPPJ40nnrKzeTJFlTV4J137OTPb1K4sGgj8tc172TNmmlMnGjj\nyScjuHhRZtOmVL76ykvp0sFvoUEDLRMhgtMpUvzZoWXv1+41xfpnUblZ2f8izAfEJElwZd5P+jWr\n8e4UYT7xhBlIh6ampoZQ2u3eLdG7t0H//jqtW0dz6lTm67hyRbR1lCyZ9XliYuD99zVefdVCXJyB\n1WoGIrBwIKKHHhKRqc0G06bJ9Oih89tv4tz+80iSRMOGXm7dIhPH7YIFghmob1+dr79WmDdPZuTI\nROx2OzNnRtGnj87TTxtMm6bQqZNKvnwGY8aIBSRnTrHg+qNLEDv6Nm1Co8w6dYT4840b0LevGgBF\nPfZYEjExErt3R98maTDo1ElFliVatXKyZYtCfHwS48Yl8sUXXgwD/vUvOzVqGCxbpuBwCKf96qsq\nS5YofPmlFacTZs5UMAwYM8ZKbKx5m+BA1EzfeksssP/8p4V+/TQkSSI5WeHddyPo3TsG05SIj9fI\nkUOw4/h8PjZu9FCggEbOnN4AjaKqqlitDrZutVKnjiBETy9srmlioa1Tx8ikqmG1CvDK1q0WKldO\nDghKZ1zkbtwQ6E1/jyaIjcrMmW4++cTGxo3iGW/cKMjWsxIE8Jssi39/5Igc0P3Ml8+gc2cV04T4\neCupqWLu/OMfdpo08eDzCYq60aNtPPSQyY8/Wlm0yMKPP1rIm9ekQAGT2FiTGTMszJkjlF2qVjX4\n7TeZDz6wU6OGzsiRDjp00Hj8ceGgihYVxBFTp1pZssTC1q0WPvzQx+DBaSxb5sDncwUiqu7dhXTY\nwIEKiYkGn312iwkTLGiaTrduojc0XIrab9evixaX/ftlvv/ew/jxHgoXDs5Xf8TVsKHIImS0+vVD\ntTX/Svuzovf3m8pNf96kpKT/Ocz/ZvM7So/Hg6Zp95V+zWrcrBzmrVuiObtYMXcgHeqPZP2Tb/du\nmSeeEMCXN97w0KZNBGfOhI6zbZuQ85Lv8PZ69TK4eVMiMtK/mxcRWDgQEYid/bFjEikpEjVrmoF0\nbPpDjx61UqiQydSpoSefO1ehUyeDKlV8nD4t0b9/GkWLRpOc7GDVKpmnnjJ4+mmd+fNlPB6J0aNT\nGTNGISEBVq2S8Xrh999Dr6dbN51Zs4Ln2bpV9Ek6nbB6NQGUaWxsDM89ZzBpkoyqaixYIPHee3aS\nk0FRTIYOvcnjj/uIjIwkIsJOs2Y6n39upVEjLdDb2ayZzrZtCmvXeoiMFECO3btlRo8WIKdnnxUM\nOqdPy7edgoVt22SuX5eoXVvnm28sVKrkxOuFYcN81KljkCOHFOLktm6NpnFjsbD65x3Anj0m+fLp\n5M0LNpsNm82GxWJBURSOH5dQFJOHH/aFEHubponFYuH4cSe5c0OxYk4cDkfYKHTDBpMnntCwWkPn\nZbFiJpMmeXjuOQenT0usXq3QqNGd5byuXJE4eVLGbhcbGJGmlunQQePAAUGTeOWKcI4REWLOgEDK\nnjwpky+fyYEDMtOmWRk61MFvv8n89JOVJk1URo60M3q0jYEDfSQmSnTu7OSDD7y88oqoc772WmhP\n6yuv+Bg71sarr9r54Qfx7nr08BERYfL2245ARFWkiIV8+UyWL3cxfbqHJk1MNA3WrzcoWDCZAgV0\nli83MvHkAqxerVCjhovSpQ2qV9cDKOFwVqOGzokTciYkcoMGGmvX/j0R5t8lIJ1dKtefkTt79iyf\nf/45hw8fxpFRRfu/0B5Yh+lPvyqKEpgcf4Vl5zB37jQoW1bFMHwh6VC/+Xxw6FCwxvnccz4GDPDQ\nsqU1AOCBrAWjM5ppGsiyydq1CsnJEpGRkYEezox265ZwliVKCMSiLBNSv/TbqlV2+vTRGDs22Lpy\n9argxq1VK4kRIyRKlzY4ccKJLMtMm6bQqpUgGX/4YUGwsHixhSJFDF57Tefpp61UqCDID2bODF1Q\natc2uXpVIiFBIiUF+vSxMnasIPOeOFGAhiIiIpAkic6dfaxYodCggZOPPrLz+ec+evb0Ur68yrhx\nQf1TEI7Y5TKZMsXC8uUKXbrYmDJFYe5che7dbTgcJi1aCN3MUaOsNGumUa+extWrUoD4XJLguees\n5MtnUq6ckx07ZBYs8PDNNypr1ii0bZvZ8axapVC/vhtVVXG5XMTExBAdHc3WrS7q1hWo2ZSUlJBa\n6ObNNurWNbDZgiCw9FHo+vUQFycWsHDajlarlU2brMTFeQMRqGEYgSi0Th2Nt97y8dRTTlatstCo\n0Z37NBctsvDEE1qAdN/rhQoVdAoUMImPt/LYYzo+n9jY3LwpcfOmzOLFaXTqpCHL8MknHsaO9fLR\nRx5cLpN161K5cUNi61YLSUkS165JVKum06uXg3btVJ5+WuOHH2yUK2cE+iz9VqWKQXKyqJf6eXZF\n766befMsAXai+HgL165J5MhhkiOHjM1m5cUXNaZMEb3N3burzJrlQNd13G73bUYtN8OGKQwY4GDS\nJDcjR4re2SVLso4UbTbB7pMxLVu+vMGNG6IN5/9Hy5jKBSFKb5omly5dYtq0aXz66adUqFCBvn37\nMnHiRDxhmk/vRTwa4KuvviJ//vzExsbSp0+fQAnj/8oeWIcpyzLR0dH/ll2Rn9Ju61aNqlVNoqKi\nQtKhfjt4UFDm+Wvnou7jpVMngw4drAEliK1bZWrWzBrd5gf17NuXgsUCzZubjBkTlW2qeONGmapV\nBWHAsWMSJ06IiK5Bg+B5btyAgwfFQvPQQyYLF4o63Jw5Bg0aeDhxwsqCBS6mTdP45ReZ69fhxx+F\nSLTfnnlGZ9o0G6Zp0r+/zrFjErVrG/TooTNtmhzClKIo0KWLzvTpMu++K1oumja9QefOPjZssHPr\nlkgZXbyo8/bbglc2f36TjRuTqVbtJp07e7hyxcrixTbOn5c5elTi5ZdtvPKKjStXJI4fl1FVQRTh\nbxFZt05h5045IA0VESFaNnr3dnDpksSNG6IX0OeDc+dk6tbVWb/ew7RpPipUMElJEcCZ1q1DHc/F\nixonTkhUq6YRFRUVAPX4ic6bNCEgMG4YEZw8aWPvXpHqfvRRN7duib5NSZJCotDNm23Urq1mSONq\ngZSs/5gG/4+99w6Pquy+vz+nTM0kkQ7SIoKAKEoVEAi99yJdaYoUlSKgiCKKCAhILwoC0pFeQwlV\nqUpRehcQKdJSpp7y/nEzkwxJQH3U5/m9ftd1eXmFZM6cc+bMve+999prVZNCATQYdIM9vg4d7hET\no3HrlkTBgo/OMFeuVO9LCUK2bCa6DhUqiD7vkiUqO3aoWCxC/LxqVY2SJQNUqGBw9qwo4W7dKp79\nGTOsdOgQwDQlcuY02bfPTebMBm63RKFCLvx+GDLEz5o1Kr/+KvHllx4mTbKEaeOOG2clZ06Dc+fC\nn53XXvMgyzBokI34eIUBA2ysWuUhEJDYs0cEs6ZNA8THi2tp2VJn+3YrbrfYbCQnR9C6dSYOHVLZ\nvPkWJUsmkJycTM2ayaxbp+Lzhff1Umd6tWvrbNoU/v2WZahWLf1y7X+C/6aBtKIoxMTEMGbMGDp1\n6sTEiRP58ssvefbZZ9m1a1e61bo/Yh69ceNGRo0axbZt2/j55585d+4cQ4YM+ScuLUP8awNmsHz1\nd3liQlpJu59+cvLCC3KGD7gQIjDTHOvDD3WKFDF55RVhbXT0qETp0umfc1CY3e/3s29fNDVqmAwb\nprN4sYOTJzM+7/h4mXz5TAoUMOnaVad/f5VnnzVD9lMAGzcKYkpEBPTurTN2rExCQiLLlim0aCHR\nt6+LTz7RKFwY6tUz+OgjBUUhLBtu0MDg6FGZn3+WWbxYpnhxky+/VClZUgi9Hz4cfm/atTOYNUth\nzRqJIUPuERkZSb9+4m8WLbIydiyULesge3aTVas8fP+9RHKysDqrXFkE0dhYjXr1bNSrZydPHoM9\ne7yUKmVQsqQgNhUpYhIf76NXL41u3TSaNROjEg6HGD4/cEBh7Fg/r76q8dxzRshxBMRrn3gi5fri\n4hReeMEIyQiapugdb9hgEBurExUV3h93u4Vn6IkTMq1bWylY0EHBgi46dHDRt280u3dbmTbNRcGC\n2ahWLZoBAyxs2eIjISEJt9vP7t0KsbEmFosFi0WMtQT7uLquc/myxtWrEsWLiyxUlsXzZ7fbU/Wr\nrJQpI0TWP/tMCmWifr8/DeHj5k2JQ4cUTp+W8XoF0UdVhW3X3LkK164JwYJ587wcPKhw7pzM668n\nc+aMIJ89/7zBzJkWdu6UWbDAQpcuAfbvVyhbVmfdOpVs2QQJJzlZsGb79rUxcKCNMWN8FC1q0qaN\nxrBhohq0a5fC1KkWVqwQwXHtWjV0zyMjJTp0CLB6tUrHjnbmz/dSvLhBt25+pk618P33MvXrO8md\n22DSJCuZMkGNGkIF6IcfZKpWdfHCCwYrV/rIl08EUbvdzhNPSOTJo7N9uxHW10tdxq1dWyM+Pm1P\ntGZN7S+fx/xvIL31MikpiSxZslC2bFneeOMN5syZk+5c5h8xj/7666/p0qULRYoUITo6mg8++IBZ\ns2b99Rf0B/CvDZhB/F0BMzieEpS0czoj+P57mbJlM84M9+1L+3uxg4TJkzXu3pXo1UvhmWfSCrcH\nCTBBYfbIyJSZypw54c03k+nf30pGl7pli8T169CmjU7fvmL+8sFzWbdOplYtweSsVSuZW7dMNmxw\ncOKEhUuXVKKiRIAD6NZNZ/58hS5dwnugNptwipg3z8aoUSpjxmiULGnw+ecK7dqJLDP1NeXK5ebe\nPejUyU/evKLHXLCgRp48BsOGRREfr7J69W0GDLjFM8/cI39+nfj4FELTU0+ZbNggSnOrV3t55x2N\nPHlMmjfXKVbM4OOP/ezcKXPliuhjfvut2Dhkz27SooWGYYgFcPhwCzduiHLh3r1iI+BwmAwdGr4o\nLF+u0KyZWCkDgQCJiYlIksTOna4woYfERPjyS5UKFWwEAnD6tEzz5jrx8T5u3vRw+LCXadN8FChg\ncuGCl6tXPXz+uUbOnCrvv/8Y5ctnZ+hQF7lyGURGukMepQ9mobt326hUSUOWzdCITZBwlDoL3bnT\nxpAhPmbNcrFrl7jPhmGEstBgYFi5UiJnTtE/z5zZ5KefFCpW1IiJMXnzTQcul/CcNE1wuQRBKjbW\nz/z5FooUMahcWWfcOB8vv+ygdGmN/PlN9u8XhKQRI6w0aRJg82aVihU1GjfW2LtX4d49KaS0NHCg\nj7Vrhcl21652pk/3kjevybvvCoH41GOFNWtq+P1Cti5Yrm3QIEBcnErLlg4GDPCzYoWHhQst3Lol\n2L/jx1tp0cLBqFE+PvjAH1IqCvb1LBYLTZoYxMW5wvp6wXubnJxMpkwe8uXT2b07PLjUqKGza1eK\nbdl/iv+2sk7qjV9SUtIf9sKEh5tHHzt2jOeeey7083PPPceNGze4c+fOnzvhvwD/2oCZ0RzmX4Hg\nqEhqNurly2IRuW/tli7275fTZJhBWK2waFGAuDglzFw3SAW/d+8epmmGhNk1TWLnzhQ7r65dPVy5\nIoXUhFLjwgXRa9q7V8jaZc0qSpFnzoT3V0VPUyygpqnx9ts6w4c7qVbNYPRohYkTU3wcn3jCxOOB\nHDnS3tuOHTVmzXLwxBMm5cubfPqpxpQpClWr6ixZouD3p2TKH39spVgxg/PnRVZx65ZOr14Wbt8W\nBKBhwzSeekqUpWw2G926+Zg6VeXKlURatZK5cMEkIsLk7bf9jBiREtxq19bZuFGhWzedPHlMmja1\n8/zzomzYu7eVuXN9TJ0awOUSIgmlS4tS4Y0bgoTz5JMGgYDExYtSSLw+IUGUdOvXD4Ro+U6nE1V1\nEB+vULu2EP8eONDC00872LZNpkgRk4EDA0yb5qdlS52YGDN0D4VSNBt9AAAgAElEQVRnpljo7XYo\nV85g4ECNfft8zJvnZ9cuC5cuKSxcmAmnMyrkV5m6FxofL5SNgmQgXddDi7xhGGiaxt27Istr3NjH\n7NluevRwcPGiNSwLDb5mxQoLV6+Ke9+woRcwKVFC5/vvRUm0cmWNkiV1li+33O8l+tB1WLhQ/Fy2\nrE6DBmJDce2aKInv36+EBPCnTbMydaqXWbN8rFypcvWqxPDhPlq2dDBlioXoaKFr26aNg86dA1Sr\nJu5P3bo6iiLUh0CYbffsaadyZZ1z5xR27lSYM8dClSoRFCwotIRbtBCbp0aNAkydamXNGrGxGjvW\nFzrH9NCkSYA1a1R0PaWvp6oqFosFh8OBoijUqeNjzRo5bLMRFeWncGGxKfsr8U+XZDPywvwj1l7w\naPPoB4NwVFQUpmmSmJFM1T+Af23AfBB/RdD0+/14vd5Q4ErNRhW76PBsKzVu3BCjIk89lbYkG0TW\nrFC0qHB4+PFHKaSV6na7iYiICCP17Nsn8eSTJlmzitdarRKjR/vo319Nw/KLj5d58kmTF180yJYN\nLl4Uxsh79sh8+aXMjh0SCxdKFCigkzWrhtVqxeVy0b49XLwoceGCROfOOoULp5zrvHkK5cubfPVV\n2hLUU0+ZeL0SVaqIxS5/fjFjOX26SpEiJsuWiczsp58iWLXKwezZATZskJk3z6RMGQeqCocPe4iI\nMPn0U7Hzj4yMxG6306yZwuXLKrVrZydHDpkdOxIpUEAnf/5k9u6V2LlTCAA8+aSY+ztxQmLw4AC3\nbkHnzlZkWWQmJUqIwNWwoX7fv1F4Y+bLZ3LzpkSuXPDYY+Z9mzQRzNeuFQLpFksSkiRIVmIuUyZ3\nbpOhQ62UKydk5Hbv9rJggZ+zZ2Vq1Uq/6rB9u5Ku/i8IskuWLPDRR35WrFCIjXVw4kQKqzFY1di5\n00rFioIxq2laaP4zmIXabDb27LFTooRGZKRJmTJ+3nvPQ6tWDm7fDs9C7961cfCgGBmRZXA4JPx+\nidmzraiqQZ48Olu3WsiRQ2f1akHgadEiwJYtNvLmFSL+L7ygs2WLQq5cJrlymfTqZePyZZnZsy34\nfNw30NaJijJxuUxMU6JKFY34eDeLFlno2NHO9u0KERFiI5TyXYEPP/TxwQc24uNV2raNYvJkL2PH\nevH5TJo3d7BwocrixR5WrvSwerWF69fFl7Ft2wBjx1q5eFGmb1//I9msTz5pkju3mWauMvWIRuPG\nEBfnwOkMN96uUcPDmjX8JZqv/83+5YP4O8yjXS4XCanUHu7du4ckSX84MP+V+NcHzKCs1H8SMFOr\nA9lsNhRFScNGPXBAzF9mhP37Bekm9cvSqhAJL81PPgnw0ksKly4lhkQWHuwXxMfLadxJqlTRKV3a\nSOOBGR8vk5QEpUqZ9OypUr68leRkIWo+dKjK0KEy/fqp/PSTQuvWWfjqKwd37ghRgWDQeeedlL6e\nYQiD5qFDhazbg/Zhixap5Mun8913KefRt6/Ovn0SpUu7mTvXisMRzZtvOhg50k9kpEZEhMl779mY\nM8fPmDFe7PZkOnXysHmznUAgZWNy9Khg1EZHw8SJGlFRNtq3N4mLi+KDDwIMHhyJrpv4fF6qVPGw\ndq1GzZrJuN0SBw/KgBmaIQR4/XWNhAQYOtRPTIwZIl59951M27ZiYd+zR+bOHYPFi6FRI3dIC1WS\nhGB8nz5Wzp+XyJPH5McfPXz6aYC8eU2uXBEZa4kSaYOi1yvEKSpXTp+16nYLslKHDjrr1/t4/fUA\nDRvaGT1aSNJJksTp0wqKYpI/vx+n00lUVPpZ6IYNEjVrBkIlxy5dDKpW1ejc2YXfb4QIRcuXC59Q\nRRH6rCtWCKWgihV1nE6ZN97wkz+/zvr1Fmw2gy5dkgEf8+Y5qF3bR3S0KHVPmmSlVy8/X33l4cAB\nBYtFqP0ULWrQr58YGxk92sqTT5oMHuyjdWuhGbxxo5sTJ2S2blWZOtXD6NFWzp1L+ayqVROfR+fO\nUUyfnsSdOxIdOjhwOCAiwqRTpwAlSwrHnFatAkyaJGZQO3Z0UKSIQalSOq++GmDVKiHg/jA0axYI\nmVFDSvDyeoVIxLZtCrduSdSp46RuXRdNmkTz8suZOXfOztq1DlTV8l/RfP0rkF6g/qMl2d9jHl2s\nWDGOHDkS+jloB5YpPVHsfwj/2oD5Zy2+UiM9dSCLxZLusfbtk8OcRR7E3r1SGqm7B8/rxx8lcuUy\nadXqLjVq+OjXLwt2e/oiC1u2CCGBB481cqTGF18onD0rXqNpQs3n5EmJuXMVYmJMnn/eYPp0jcOH\nPdjtBgMGJPDYYxAfH6BLFy979yoULWqlQwdLSGc19cIVHy/hcpm8+KJJt246EyemfCECARg1ysKw\nYYkcOSJx7hz3CRPJvPdeAlu2ODh82MJ771mIiTFQVYPy5Z2UKSMEwUuVElJeFouFPn1EGS+Yxe7d\nK9O4sZ1x4wJcvSqFSsrNmwuyRcOGBqoqsXixC5fLRf36Ctu2OYiOlihQQEPTTF580cf69QrHj4uZ\nx5IlhbbtnDkqEyb48ftFNuNyCaF5XRfv0aOHzL59Fpo2VVFVlaNHJTp1slKtmp0bNyRWrPAyeHAg\nzFM0Pl6malWd9NaL3btlihY10hXMD/7+uecMIiPF+bz8ss5333mJi1No0sTG9es6GzboVKkSIDLS\nFWLHph47CWahmzfbqF7dh8fjCfVCP/5YiP+//74rVHJcvtzOnTvClaR1aw/Xr0s0bJiiA9uokcHl\nywo5cwoZxHr1TK5eVTl40EpERIBSpXz88IOf48clmjTx4HIZ1KkT4O5d4Q4zebKwWNu3T2bmTAuT\nJ3vp1i1A+fI6rVo5+OQTYSE2aJCP7t0dNG+u0amTMO3WdXj/fRvXrklomsTrr7tYvNjCJ5/42LrV\nTSAAQ4bYcLvF/evZ08/06RY6dbIzbZqXBQs8fPGFqDBUraqFLMEyQvPmGqtXW/B6RSl+8WIbrVu7\nKFDAxYcf2rh0SaZsWZ1cuUw+/NDPO+8I0/TixYU84fHj1jRCARkpOWWk+fq/lGEmJCT87szv95pH\nv/zyy8ycOZMTJ05w584dhg0bRqdOnf6qU/5TkB4RKP53tzn/IYKzaCBS/aCs2e9FUIdRlmWcTmdo\nlxT899S7LZ8PcuWycumSP405bRA1algYOFCjZs2UWx4kEURHR2MYBuPGGRw/LjF5sgZYqVHDSrNm\nBn36hGcht29D4cJWrlzxY7svF5qUlBRS8xg3TmHLFpk1awLs3y9Rt66F55832bQpgK5D3rxWDh1K\nxOl0s3JlJBMnikXp2LEAycniOPfu2Sha1IrXCxUrivLY8uWi79O8uUq9egZduhjcugXFilk5eNDP\n44/D7NkyCxbILFnyGyNGZEHXDQYNun1/vstJtWpWdN3kp59katfWOHpUYfp0P6VK+SlePIKvvkqg\nXDlLKINv1MjKsWMyc+f6adPGxhdf+Khd22DYMAu//ioxebLIWNq1s1K9usiwGza088MPHux2ePJJ\nB0uW+GjVykbRogZbtngoUsRBYqJE//7JvPJKEm+8kYkDByzMmOGhVy8nVqu4x16vRFSUgaKYXLmi\n0LSpTps2GlOnWjh6VKZXrwCVKum0b2/j5ElvmnJ8mzZWGjbUads2bRY5aJCFiAh47730587efddC\nZKTJoEHhvbZAwGTwYJnVqy08/ji88YZOkyYZz1YePSrx0ks2jh0T55eaEHTnjkG9etG0a+ehWTON\n0qUz4fcL6UbDEMo9+fIZ1K7t5+xZhbfe8vLOO07OnhVC77/+KlOnTgCfT1irPfuszg8/KDzxhMZb\nbyVhGAalSmXl+nWF557TyJoVPv/cQ/36LoYPT+kj6jpUrOjk/HmZffuSiYkx2bVLoXNnO9mymRQo\nIJjXt29LgETevBo5c5osW5bCrunTx8bOnYKQ1aKFRo8eYkyoalWNyZPF3/Xvb0OSoFEjjd69bRw4\n4M6whQJQtaqTqCiDQ4dUypb106JFgDp1UpjlBw/KdO7s4NCh5LDjvP++DYtFaPJmhCBxUNf1EOM5\nSDySZRlFUUIZqvNBBuDfjKBClSOVJFSdOnXYuXPnI4VfLl26RExMTGhKAcRmfvr06VSsWJFixYpx\n/PjxkB/muHHjGDFiBF6vlxYtWjB16tR/yhUl3U/+X5thpsYfyTAzkrRLfawHceiQxFNPmRkGy0BA\n/E3ZsuHnECRmBEdT9uyxULWq0Bi12STmzQvw+ecKu3eHv+fWrTIVKxqhYPkgevbU+fVXWLpUZtMm\nGZcL3ntPQ1Vh506DQoU0IiN9REVF8corKnfuSPeJNSnHOH1awuOB1asD5MxpsnGj6HdevCh6n61b\nix1xlizQrp3IMn0+GD5c5f33A/d7GAnMm6cCrvsCBDB8uI+DB8XIQubMsHu3h+efF3qgr7ziZ/78\ncPGFoUMD3Lwp0by5jRkzRLAEeP31AKtWKfzyizjp9u015s1TKV5cjCb07StUaIoXN2jf3sbkyX5O\nn5a5cUPh5ZcNmjfX2b7dyYsv5iBHDolr12Q+/dRKz56JDB9+h+RkITB/756ExSJIMOvWKYwYYaFV\nK40TJzz07auxfbtCgwZ6moXX74cdOxRq1kw/mAnVnYwD3ZYtShpRCU3T8HqTGDIkmXff1di3T0HX\nH/5cx8Up1KmTcn6ps9BcuZysXBngiy9cDBsWga6LEnyePH5u3YJcuQxKltQ5fdpCu3YG+/ZZQ2zW\nyZOTePVVkbWVLSvMpPPk0YmLs9Ctm47D4eDMGRdXryoMHuxm7dp7PP54gFKlIomJCVCzZorpdvfu\nNhwOYf7csqWDM2ckHn/coG3bAKdOyaxeLQwLxo/3cfp0EqtX3+HsWYUNG1K+lwMH+rlxQ7rvx+mg\ndesA27e7WbdODVVbBgzws3SpSubMQiIyo17md98pNGsmzuPKFZn9+5OZO/ceLVoEwsawSpQwMAxC\nou9BNGoUYNUqNUPGevBzSK0nHNR8Tc1eDopQ+Hy+dBWK/i5klNlmJIqSGo8yj05ISAgFS4DevXtz\n7do17t69y4wZM/7rFmL/2oD5R0uyDzp8PChp97Bj7dkjpwmGqXHkiERMjMmDLYDgF8Dr9eJyRbJ3\nr4VKlVKOkz8/TJum8fLLghYfxObNMjVqpA2+wfOyWMSYyoABKitWyOg6xMaKh3jtWoPatfWQTKAs\ni77VDz/IJCenHGfAAJVnnjGpXt1kzhyNzp113n5bpUMHC61b6yFFHIC33tKZPVth8mSZIkUMSpcW\nxKgCBSQqVzZZtMh2vxSlMWyY0EfNnNmkatUAppmEaZq4XC46dTJZuVINc31QVVGWzZ7dCAsgWbMK\nNu7IkaJqUKOGkLU7fVpiyJDA/axU4dIliZgYESAbNNBZulQEkP37Fdas8bFokQ+vV3h6fvuthcWL\nXUyZ4iIQkNB1YRx97pwceka2bEmiTZtAaLOyZo0ImA/iu+9knnrKSONnCsJw+9dfpTCR/tT45ReJ\n69clSpY0Qu/r9XpDPXSn08njj8PTT5v0729j1qyMd/0bNihhc6UPIn9+WL7cxzffWEOOLefPW3G7\nhY9ojx5JHDwoExt7l2+/lTl1SqFcOZ2CBRVy5zYpUEBj0KBoLl6U2bhRpX17LxERfnw+ncaNndhs\n0K+fgctlI08ehZgYgytXVOrUiWb8eAuxsU4SEgymTLlN1apeMmc2KFMmgrJlI5gyxUqpUjovvqhz\n86ZwyrHbhSvNuHFu+va1c+uWqPBs2iQClKqalChh8OqrAbJnN+nZM8DQoeLDypbN5J13/PTrZ6N7\ndz+TJ6eUC01T9Cbr1XPQvbudRo00Dh9O5ubNjJdQSYKXXgqweHH4Il+6tIHP92iHlPBjpRCKguzl\noN5rkFAUNN7+p0ykg/hfKg3/3fjXBszUeFTATC0GkJ6k3aOOFR8v3Rc0V9m4UebBdsSePeHOI8He\naFKS6CNFRUVx/rwFpxPy5Qt/bb16Bi1a6Lz6qlgQTFP0Lx/MPoLHDaJcOZNatQxOnpRo1SpAUtI9\nDMNg+3YH9euniCucPy+CQmyswciRYuE9dUrm8GGJzz9PKQeOHq2TLZvIlPfulbl2LeV98+UT5/np\npwpvvy3uI4gh5l69xEjJxYsm1ao52LVLYeFCLz4fjBunhhYHWZbJmVOIWC9cqN4/N4mmTW28+qrG\nxYsyFy6EfyZ9+gRYuVLlwgUJiwXattWYO1fF4YAvvvDx1ltWChY0uX5d9OVatdJYtEilZEmDGzck\nLl+WKFHCZNo0PzlzCnHwQYPu0qWLn1q1hIqNohBidPp8EgsXEto5nz7t5cIFKV1T6PXrRWBOD3Fx\nMtWrC3ZuetiyJaX3GWRK67qOy+UK9YQ2bVJo3lxj0yYvY8ZYGDkybUZz8yacOCFTufLDPRFTb34k\nSfTvAEaMCPDtty6aNNF57LEI9u+34HZLvPvuPZKSkvjiCwsDBngYNEiUe+fNs9G4sY6iKHTrJsre\ntWv77xOKJL76ysKKFcls3+4mZ0745BMXp0+rbNpko1y5rPTuHcGBAyrZsunkzKmTM6dBw4Y+Zs1y\n062bn7fftjF4sLj+F1/UePFFnerVnRQrFsGKFSoLF3p5/HGT06dl1qwRN7dnTz9HjighKbsuXQIk\nJYnn4ehRmaNH5VCgfOstO+3bBzh4MJmOHQNkzQqNGweYN8+SYdBo1SrA0qXhIgbiHgb45pv/XPUn\naCDtcDhCZLMgj+LvIhSld63/lqD5fwGTjANmUNIutRjAo/qcDx7LNOGnn2Q2bvQTG2vwwQcKxYtb\nWLw4JXDu3i1Rvrz4IRAIhDmnBLFzp0TFiukvbB9/rPPbbxLjxyucOCE8HB90E0nvYS5fXsiZxcR4\ncDqd3Ljh4s4dESSCWLVKaMGOGqUxc6bC6dMKb7whlHVefDHcXaR2beF0UaeOQaVK1pBqj2maZMoU\nwOeTKFpUDpEDdF3nhRcCaJpJhQpObt+WGDLES2zsPV5/3cvx4xZOnQonBXTvrjF1qsrVq9CokY13\n3tEYNSqAwwEffhi+k8+SBbp1E6IDAB06aCxYoKBpQsLt8cdNfvtNjEgcPy42BTduiHJzjRpiThPg\nxx9FlnLvnsQLL1hp3FjhjTc0bt5UiIwUXpC6LohO774bSVRUFE6nkw0b7NSu7cfvd5OQkJDKTURj\n/XqF+vUzCpgZB1MQwbBmzRRySDCrTF0S27RJoVYtnYIFTTZv9rJ8uUr//pawzdrGjQpVqugZlu6D\nmDVLuLbIsljs589XiYyEDh10FixQad9e5/hxEZDz5TN47rkA587ZOX/eQsOGGteumRQpEqBYsQAt\nWzqpXt3FqlVWSpTQqVTJZOdOG717O6lRw0/Tpk7y5XOxebNKbKzGRx95mT3bw9atbuLiPFy6lMTp\n026OHEli/PgkDh1SKFnSxapVKgUL6kyYYOWJJ7KSL99jHDwo4/FItGihsWKFh0qVdMaO9eH3Q79+\nNu7eFdno6NFe+va14/EIOcYJE7x8+KFwSGncWATKDh0CHDiQTNu2WthGpnPnALNmWUK6yg+iUCGT\nmBgzjcJPy5ZCVSij1/0ZBLPQYCn3Yc4jqQlFfzSAPhgc/5cZvX81/rUB82El2Qcl7YJiAL9nBxX8\nm+Dxzp8XZcPSpeHVVw327g0wcaLGxIkKlSpZOHxYYs8emfLl9VBvND3nlF275AwDpsUCX38dYMwY\nhRkz0jqMPHiNwetbutTgscdMJk2KxOezEhcnU6dOuAvKypUyTZvqPP44DBqk8+qrERw7ptCz54OK\nRCJTzpXLpFAhkxEjNBo0sLBhg8nPPyeycKGVGjV0vvwyJV25ezeZ995TQ0oujz+u0blzAk6nk4ED\nxXV99FF4EKxQQfRma9a00769RteuYgF7/XWN1asVfvst/LrfeCPAli0KR45IFClikj+/SffuFuLj\nFXbu9PLMMwZWqwgeQe3ahQvV+8IGMj6fj6FDZfr29RIRAdOm2ULncf26RKlSovzs94NpSty9K90/\nlsLatTZatIDIyEgiIyOxWoWG7qFDATTNIH/+hFD5LLjzD44lZNS/9PuFoEGFCvfCssrUz+b58xL3\n7kk895z4vHPlgo0bvRw+LNOtmzWU7axbp1Cv3qNX7C+/FJ+BCCY+bt+WqFlT49AhGU0TggqbNsl4\nPDBwYAIOh4Ovv3bRubNOVJSdvXvtnDljYf58P199lcSPPyo4nSbff6/wzjs2mjZ1cveuxIoVNnLn\nhgULPFy7do+lS5N4/XUPdet6efZZH08/7cfhCM6FKlSrJvPVVwGuXElm1So3I0Z4GDUqEUUBwzAZ\nODCB9evvsHy5yvLlYv60cmWd5s01HA6TQYOEjnStWjolS+p8+qkVj0fYlikKxMWpuN0Sixe70wTK\nIEqUMMie3WTz5rTtmSBeecXP7NnhG79nnjHImtVkx44/L5X3e7K6jJxHUhuUJycnP1QO8VHweDz/\nOPHov4V/LUsWCDlCeDweTNPE6XSi6/p9JRvzDzNng7hz5w7R0dHIsszXX8ts3iwzd244m9E0Ye5c\nmXfeEfZRx45dJyLCmqbce+fOHaKioilUyM7mzX6efDLj9121SuaVV1SmTNFo2zY8oHk8HgzDwG63\nk5ycjGGYFCiQjVdf1blzR8JmgwsXJLp21WnSRLz2yhUoU8bKzz/7sVrFYp09u2CxnjkTIGfOlONv\n3Srx9tsqEyZovPKKhUOHxAjByy9H8NxzBjExEr1768TGWjl4MBmvF155xU5EhEGPHgm0bJmFqVPv\n0ry5gaqK0Yzp01UGDLBy9qyH7NnF+3i9UKGCnaQkOHUqhXl6546wuOraVeOzz8KZpTNnqixZohAX\n5+O116ysWKFw5Igoz/34o0SjRnaSk6FgQZObN+HGDYmCBYWgd+vWHuLi7Jw44aVjRyunT8scOSJc\nGHr3trBtm8xvv8m4XIIocuGCRNasJt9+66N8eTvnznl4kDk/cqTKjRsSI0d6QkzIoNXXtm0OJkxw\nsnGjJ6R1nPLMmGzcqPPJJ3bi492hUZEHMXmyytGjMlOnhrMw3W5o08aGw2Eydaqfp592cPSohyxZ\nMn6mDh6UqFTJjiRBr14aO3fK/PijMBrPksWkUSOdAQN8PPOMg5s3Za5fd3Pvnsyzzzr4/ntRWi9e\n3E7WrCZ37kj4HyCG2u0mAwZ4eO01N4oignfQ2iz19RuGkYbUEnRoCWZWQSQkuOnd+zGWLbNSoIBB\nz57JfPJJBFOm3KVKFR2/X6Fatce4c0di4kQftWppbNyo0LWrA1U1KVvWIDZWY9w4K0WLGuTLZzJt\nWlrnjSCWLFGZOVNhwwZPusSX5GR4+mkXu3Ylh3loTp9uYc8ehdmzMz72wxBcv2yPKhE8AqZppmHl\nGoYRYuMG/x+cWfd6vaGZXYBr164xcOBAli9f/h+dx/8Y/o8lmxGCbFS3251G0u7PHi/4xc7IWUSS\noG1bP336JGO3G7Rrl42EhIh0SURnz4q/L1Dg4e9bo4aBrsOSJeHODUEEe7FWq5Vz56LxeqF7d53P\nPtPYsEHm22+lMLGD1atl6tY1Qgv+kiUyWbII9ZUHXXYmTFDo1UunYkWTypU1PvhAp0yZADNnamzd\nqpIzp0H+/AEaNNDo399GbKyTGjV0Zs68y5Ah0TRvHmD5cheSJOHz+e4z5+7y2GMmvXqp92XcTLp2\ntVK4sIGmSRw/nnKvMmWCFi10vvpKTTN03rGj0OHt00cEOIsF5s5VKFPGTosWNmrW1PB6oXBhg82b\nvRQpotOlSxIFChhs3mxHVaFsWTs5c5qcOyeFSEc1auicPy+CR48eAS5cEK4bN29KDB+uUr++niZY\ngnD7aNJEDyudRUVF4XK52LjRTp06QjEqISEhNBfp9XpJSkpi0yaVevXMdAlnQaxfn37m6HTCN9/4\nsFigTh0bzzxjPDRYArz7rrgARRECBUePyhQubLJli5fjx2U2bJA4csTLpUsKHTpoKIrMzJkqlSvr\nDBxooVw5O7oORYoIxqiqinJkzZri3uzY4WPgQIlMmcRcaHCTGrTZSq2RG+zXWa1WLBZLaLQiKKwQ\n9AtVFJMvvnBz6FAyWbOa9OsXidcr0b59Znr2jGbOHBvVqnlJSJDo0MFO3rwRIR1bVRUiB5MnW3nv\nPaHEtHatysmTGS+VTZtq/PyzwsGD6WeLmgb16gUYNszKoUMyx47JXL8u0bJlgK1bxebpz+Cv6hum\nRyhKLYf4IKHowc3Ln5HF+38V/xcwEb00v1+Iij/MYPn3InXA/PZbiYoVw6NX0MEiMTGRkyetDBpk\nULmyScWKVg4dSvu+O3cKYsajTmnHDply5URfLlwsIBCioActzSZNUsmRA2JihCpOly6inxlUsgFY\nuVKhaVMRQN1uGDJEJWtWg8aN/bz+uiUUlI8elThyRKZ1a42kpCQGDbrLN984+fnnSGbOVHnzzQAL\nF6qMGmUlZ0745huVoUPd9Ox5h5EjoyhQQGLqVI0jRxROnRKjOlFRUUREOBg50s2GDRbOn0+mVy+J\nmzcNpk1LpFs3H59/Hr6hGTQogGnCxInh/64oUL26zsyZKo0aCUHub74RDiSnT3uZMSPAiy8aHDwo\nM2SITKtWHg4ccFKhgoHXK3HihJd583wkJgoyyMsvW9F1OH9eBN8GDTR++kmIPng84kOaP1+ladO0\neqQXLkhcvSoYsBcuSOzeLSoQ69crbNumsnatlWrV5NA9sNlsodEBXTfYsMFKjRruDPtPCQnC+Dqo\nQfsgrFaYPduPzye8GR8sYaeGphHSPW3USGfgQCEc0LKlxvbtErGxfho18lGzptBfHDBAIzERRo+2\nsH27eP50XZTWNU0ic2aTMmUMfvpJ4coVic6dNZ55JlwKMlg+DLYlgs/rg+pEPp8vlGEGnVpkWQ7d\nE8MwyJvXz7p19zh1KoFWrQI4nbBsmZWJE52cPGmjXDkhSl6iZFIAACAASURBVJ8pk0n58n6OHBEZ\n8KFDEjt33qFjRw8LFrjRNJM338w4i7NYoHv3JEaNsnHmjMTXX1vo08dG9eqiH1ukiIvt21W++cZC\nr152OnWyU6GCk6JFXciyyZQp/91RifTwoP9lkFCkqmpoVvfKlSuUL1+eESNGcPPmTU6cOJGuwEJq\nTJ48mTJlymC32+ncuXOGfzdnzhxUVSUqKir0HOzcufOvvsw/jH91wDQMg8TERPx+P4qiPNRg+Y9C\nGKvC7dsSxYqlLApBofRgcN6zx0JsrMn77+uMHq3RsKElTCBdkiR27VKoVOnhDyII+606dQzmzQsw\nerTCd99BcnIySUlJISWRYF900yaZZs1SFtWLF8WIR9eughhy7ZoYdwmqBU2cqPDMMwaXL8uMHZtE\nYiKMHy+ONXaswmuv+fD5xMhNwYKRDBmi0batyuHDEu+952fFCi/jx1uYPVvh5Zc9bNmisGtXFGvW\nWJk82Y/DAb17pxB0gl/YNm1EX7Rx42wcO2ZjwQI3VqtB+/YJxMUpHD0qdr2BQID8+XUqV9aZMMFC\n0NDANOHzz1Xmz1exWsV4waxZPhISJCpUMELD+nXr+ihd2othyCxd6iQuTuW77xTsdlFqLVHCZPZs\nPxUr6uzcqVClio1p04ThsmmKrK5zZ42sWQVjVtPg1i0RPAMBOHBAZvx4ldatrfj9kCePg3r1bLz3\nnoUJEyzMmKHywQcWkpKgfn07MTEOXnrJyoQJMj//LPQzL18WZf7ixUVFJKgyFczCAoEAGzeKikZG\nM7/Be3L7tkSdOjq1atm5fDn9ndhHH4mNh9MpRi40TTiQVKrkZdYshY4dA/TrJ2GxCPeckiUdFCjg\nwO8Xgfn8eRGAqlTROXRICAvcvSvGevLkIUOd3NQIPgep1YmCWWjwHqTOwg3DCBFdgnZnWbMafPZZ\nMmfP3mbBgiRsNpOTJ2VMUyJvXrh+XWbXLhujRwc4fz6RZ54x+OCDCHw+P0WKJDJx4j3271eYNElO\nUxa+dk1iwQKVH36wsGmTSt26TnbsUChUyODjj3388EMyV68mceJEMi1aaDRtqrF/v5tz55I5fz6J\n0aO9zJtnSaPv/HvwTzJTU2ehQXu4nDlzMn78ePLmzcuVK1do0KABmTNnplatWly9ejXd4+TOnZv3\n33+fLl26PPI9K1SoQEJCQmhWs3Llyn/1Zf1h/KsDZnJyMqqq3h+a/+sevOCxvv1WLF6ynCJ44HYL\nrVGXy8Wvv8rcuyc8FQGaNjVYuTLAG2+ozJkT/GgkduyQH7m4mKYImLVrG+TPbzJpkof27VWuX5eI\njo4O+SSCEFe/dQv69xcBU9dhwwaZsWMDeDwwbJjCihWiHOtwCGH4CRMU8ucXGpwRETB3boCxYxWW\nL4cNGyTatUsMjdyAKDdfvizxwgs6168rtGljp1o1P5ky6UREyGzfbuPVVx3Mnu0PycW9+qogknz/\nffhjWamSzsWLEqNG+cmSRex4c+d20aWLxvTpUaHsIzExkT59RD32009l/H6d7t0tjBhh4bHHTObP\nFwzJqCghor5+vRLqWVet6uHbb+3Mnavx+uuiRHv9uiiFp3ZtGThQQ9PgmWeE80ihQgabN4sSpMVi\ncuOGFCJNvfGGhaZNbeTL56BnTysXL0okJkoMH+7n2jUPJ0542bbNx5o1PpYv91GxokG/fhpXr7qJ\nj79Ho0bJnDplpU6dLNSoIaTh6tbVsdnEPUgvA1uxwryvjeu+n5WmJXDs2iWTP7/B+PEBOnXSqFbN\nlsaHFGD8eLF5yZbNZMkSQc4KBMBmC3DxokrDhjI7dsgkJkq0aiXui8cDDgdYrSZHjogZ3y1bBDN5\nzBg/+/d7adBAv29198cpoqmz0OA9cDgc6LqOLMvIsozb7Q5loYZhhLJQu91G3boGP/yQSLduXo4d\nk6lY0U/btl7OnZNZsULBbpeZOdPHqVMWPvooE05nBM2aSfTp42HwYCcLFhisWaMxcKBC+fIOypRx\nsn69SoUKfgYP9lGwoMGMGV569AhQoYJOtmwpgh/9+/uZMsXC7dvi54gI0UYoVcpg7tz/vSzzUbBY\nLJQtW5ZSpUrRtm1bzp07x5kzZ3jzzTfJGnR9eABNmjShUaNGZE6tEfn/EP7VATMqKgqHwxFycPir\nECzJBpmt6QkegFi4XnwxnJVaurSQqPvkE5Xx4xXOnlWx2x/dvzx9WixmRYqIsmhsbBKvvKLz2mvR\n6LocVib+7DOFHDkIkXb27ZPInt3kqadgwYIAc+YoTJ+u0LKlCNLDh6u89JLO2rUKHTuKkle+fCYT\nJ7p59VULzZqleFUGCSwTJqiUKaOzYYNKpUo22rRJYvr0BOLifOzcacXjkYiKMsM8N+12eOedQNh4\nyOefq3z/vSh39u4dXhbr2VNjxQoLt28LJZSoqCgqVrRSrJjGV19ZeeEFO4sWqXTs6GbXrrvUqOFn\nwgQ/r79upXXrAFOnCvslq9XKs8/asdmEuH3z5joul/gcb98WmrCrVilcvw6VKxtYLLBrl8rbbwdY\nt07lxAmJ/PlFac3pNElMFCuk1yuRJYvBTz952L/fS8+eGh6PxMsvp+1tmqYogTduHMDtTiZHDj9t\n2yp88YXO+fMe+vUTqkGLFyuMH6+GNFFTZ2CqGsH27XaaNJFDfcBgXz4pKSk0i7dypUKjRiJYvfGG\nGMtp3NjO2rUpZfxFiwQD1uEQAbN0aY18+QJUqRJgyZIo2rfXsVjg7bdtKIrQ2s2WzeSppwx++cXD\n+PEB8ucXz1tUlMn8+X66dtWRZfGsRkeb5Mjx8Gf6UQi2Nnw+X8it52FZqNvtRtM0LBaJ/v0NDh50\nkz27xNatNlwuky+/tFKlip1Nm6BfPzebNys0buxgzBgHv/xiwW436dHjMQYPjiYqSuKzz5I4fvw3\npk37jfbtPXTvnkhCgrh36a0nTz1l0KiRxqhR4c/xO+/4GD3aGtYO+b3X/9+YfXzwfVM7lWTLlo0G\nDRo8VCP29+LQoUNkz56dIkWKMGzYsEeWe/8J/KsD5t/liRk83o4dEiVLJmYoeLBzp0xsbHpfLJP4\neD9ffCHz8cdOKlXK2JsvCOE44ScxMSFU+3//fZPISJO3305xogdYvTpcfWbNGpmGDcXDmCMHTJgQ\n4NQpwfY8c0Zi6VLhpJIvn0nRoqIklZCQQOHCXgxDYv9+K4mJhBh2587JTJpkpVw5A0kysdtNOnQw\ncbkiyJxZJlcuEXR0HaZPD+83duig8/PPElu3yowYoTJrlsr69T6++MLPyZMSa9emPLLZs8Mrr2iM\nGKGG7ruiKDRpYuDxSFy4oLJpk4dhwzQsFqGGU778HRo08LByJZw8KfPzz2IsQ5alkEfmiBEW6tTR\nyZrVpG9fMcg+Y4ZKqVKi5ChJohe5aJHwT/T7hRn0zZsSzz4rxl6aNhX3d8UKNTT4v3Sp0DJNT27z\nwAExWpM3bwIWi4WIiIhQ+VxVBSHJ6YRVq3zs2yfz/PN25s9XwuYqt28XSkqPPy6H9QEjIyNDTEq3\n28eqVTK1ayfgdrvx+/00auRn6VIvfftaGD5cuJ306mW7XxmBX34RJfpMmWRiY2HhQpWuXTXi4yVO\nnBCKR8OH+4mOho8+0nC7oW9fC8nJYnbzo4+0MBLSvn3C6u4/gaZpIWGPoI1aEOlloen1Qm22JAYM\nSOTw4XssWeKhdesAhw6p9OgRwfjxdnLn1jl+XGHOHJVnn/WxaFEyOXMKS7dt2yxkzWohMtIRqqpY\nrQpjxiQyeLCd8+c96c46Dh7s55tv1PvOOAIlShhUqKDz+ef/eZD5J5BewPwz5tEPQ2xsLEePHuXG\njRssW7aMhQsX8tlnn/2l7/Fn8K8OmEH8HSbSly4FuH4dSpdWMxQ82LFDDMunh7x5YdOmALt2iWD0\nMGiaxtq1JtWqeUNZs1g0YM4cjR07JGbOFFnbuXPw22/Qu7dYwExTsGGDAVP8jSAZtW5toU8fhT59\ndJYulencWQ9JbtlsNqZOjaZbN1FSattWOMmbpky3bjZiYnTWrpXYtu0u9esb9OoVgWHAgAEW/H6J\nH37wEBUF779v4eefU758YvYyQMeONpYuVdm0yUvu3MKrs3hxgx49bHhTsfD79hVqPmfPSmgavPWW\nhffesxIZKdiOui6HjH2DzL933knA7VYoWFBn0iSZhAQRPKpW9bJ8ucy8eSrDh/vp0kXjwgWZa9ck\n5s/3cfmyhwMHPJQqJQJ+//4Bjh/3sGqVD6dTyPldvCijqvDuu8Jv0+eDgQMFQWrhQpVWrdKWIQ3D\nYP58k6ZNPbhcEenO/K5YodC4sUbJkiYLFvj5+ms/06er1Kpl49gx6f7fqKFAnRqpGZCHD0eROzcU\nKyZ62kGB/8KF7xEXd5utWyXKlLHh8XBfFtGgSxcvd+8qnDypkJwMZcsabNsm06SJmGOMjTUoVEgI\nstevr/PxxxYCAe7Pa+p07Rq+4du/X0njzPN7kVoGMMjo/L3z0Rn1QsGgWLEkxoy5xb59t8iWzeTg\nQZU8eeDAATctWmhMmeLkzh2JGTMSuXpVMF1r1nTQpYuNI0ekkAZv+fIqXbpovPlmFkwzfNYxKSkZ\nSfLw7rtuOnWyc/myGRIu+OQTHzNmWB7Kxk3vXvwvqOskJSXheljT/E8gJiaG/PnzA8Lm64MPPmDp\n0qV/6Xv8GfyrA+bfkWH6/X78fj+7dqlUqmTidKYveHDlilCOefrpjN83Rw5QFJMjRxQ++yxtWhIs\nSV29msSRIxbq1bOlcQuIioJlywIMH24lPt7CZ58pZMoEhQqJ3588KeH1hqv7LFki8/bbOq1b62zb\nJlO8uM6+fTI1atwO9YSuXbPxzTcKb77pY+xYLy4XtGxpZ9AghePHJR5/XGPzZg9FitgZNSrA9esS\n1arZ2L1bYcECHzlywObNXjJlMqld2xZaOJKTYfFi0fNq21YLm/WcMMFPUhIhYhAINZ9evQL06WOh\nSBE7c+aoTJzoZ+ZMP1FR0Lu3GNQPZiSGYZA5cyQLFgS4dEll2TIHXq/IUMqW9fHTTwq9eiUQEZHE\nSy8lExcnnDe2blWQJKFodPSojCQJndjMmQV5RVWhWDGDM2ckGjUSEntdu2qYJsyaJSQRJYmwzCoo\nX3b3bhKrVtlp107O0O1h2bLwYFiunMG2bT5at9apV8/Oxx+rrF2rpBswU2P5coVmzYQ83YMjLXnz\nWli5MoGzZ8WyoOvw5JM6Fy+q1K2rER1tsnChhZs3xWdgGCJ41qunM3y4hYEDAxw+LDF9usi2CxQw\n6d49bXVEWN398f5lsN8cFGz4T4S4M8pCCxe28sMP9/jkkyQ2bFB44okIFi1SyZTJoHv3CJo0iSJb\nNjFq9fXXyRQqpNGuXQTVqmVhwACV6dMVHn9c4+ZNiRdfjKJdu8eoWTMLJUrkIF++HBQtmpWPPnJy\n9apM8eKRZM7sIiYmglat7BQoYNC0qeMPl2b/SQTXyb87w3zYe/838a8OmA/irzKRtlqt7N5tp2rV\njHfR27fLVKoU3r98EAcPSuTJY7BuXRKzZ8shViqEs23373+M8uVNXK70d5tPPgkLF/ro1SuapUvD\nJdmC2WXw+T99WuLKFYkqVUy++06mdWudNm0s1KrlIWtWZ6j8NHSoel/AGmw2mdmzfbjdBpMmWWna\n1MfChTrR0SKrDgaTH3+UadZMCzk6ZM4Me/Z4uX1bCmVKVarYiY6GdesEqzb12EOJEiZ16uhMmaJy\n+nSQwCTx/fcyW7cKI+Jjx7x06qRTr57OY48JxZfx4wkTJpdlmVy5YM0aH6YJAwbYsVqtLFwYRXQ0\n5M9vw2azkTmzSd26Xmw2jdWrxZzulCkSdepoxMbqfPutGI9QFOGkIcui57djh8K8eQoffxwIycn1\n6mWlXTstdJ+Dc78+n4/9+6PIn9+kYMH0n4PjxyVu3yaN0pOiQNeuGrt3e9m0SbjBpBamfxCBgJgB\nbd484yz066+dITasaUJCgsLy5RacTj9ZsmicOiXx5JPafTKZ6Nf6/WJspEABg2rVxNzlqlVerl6V\n0pRe796Fy5elsHGSRyG1LqrFYkkjA/hXIXUW+sYbCpcuedm2zU316mLjY7EYmCZcuSKITk2auJg0\nSWTjp0+rzJ5t54MPHPTu7eTMGZnLl2V27RKOMU89pVOpkk7p0jqRkaLX63KJ8q6imFy7JszGf/sN\nYmIiaNjQxmuv2Rg+3MrixSonTshherTB+/K/kGGm7mE+CkF5viDXIUhMexBxcXHcuHEDgJMnTzJs\n2DCaNGnyl573n8H/BUwIKVj8VSbSiqKyfbtK1aoZH2/rVplq1R5eloqPl6lSRSNXLoO4uABTpihM\nnSqFCAxBosOGDWqGuqRBlC9v8tprSSQlESZOsGKFHJaVLFgg89JLOqtWyfh8Jh9+eAvDgM2bHcTF\niZnAw4cl4uNlevRIDg2Of/mlzv79KuXKaWzcaA9pZyYkwEsv2Th3TmbHDi8zZqhMnpxSns6WTci2\n7d8vU7GinZ49A0yb5qdECZPWrTUGDAjv64weHUCSoF07G126WClb1s7WrYLEkiWLSa5cwR0wvPuu\nF7/fZNw4O1euRKYZ9n/qKZMvv/SxbJnCsGEqY8da6NEjwJYtaqiE+dZb8OOPVuLjbSQnK0yfbqN7\n97vUqZNM9uw6X3whstdmzTS2bVPo2zdwny0qsXmzwksvifnWX3+VKFFCDy3+SUlJoVGm+fOtdOiQ\n8ee3eLFKy5Z6hpur3LlNChc2qVdPp25dO5Mnp28dFR8vU7CgQUxM2l+K59jL4MHCEzIpSaJ+fZ0S\nJQysVolJkyL4/nsLFSsG2LhRZHavv57IpUswYYKKohjExtoxDLEJio4WRKgHE48DB2RKlBAl7d+D\n1BuL4LjIPzlKUaaMxPTpOvv3+7l61cevv7rZty+Jzz9PokYNL5omceuWjN0u+AIgSFJ162o0ahQg\nXz6dU6cUfvhBYf9+md27Fe7ckbh1S4zrOJ3CbPv2bZnkZBmQiIw0OXJEJTFR5+bNAHPnylSv7mD0\naOW/TnxJL0gnJSX97oA5bNgwnE4nI0eOZP78+TidTj755BMuX75MZGQkV65cASA+Pp7ixYsTGRlJ\ngwYNaNGiBe++++5ffj1/FP9qabzUJtJ3795No9/6KAT7P5IkhZE0jh7107Chk/PnUzKK1DBNKFDA\nypYtD5e6q1HDwptvuqleXZjEnjrlp169CAYO9PLaa0KqStchf34r333n537JP12YpslLL5ls3Ggn\na1bYuDGALJtUq2bl/Hk/iiLOq0gRK7Nm+Wjf3kL79m5On7bz448KhQqZ7NwplH6SkoQXYsGCOk6n\nzunTKj/+aKF8+QD9+we4fl1h2DAr2bKZ/PKLRKNGOqNGBbBY4NIliSZNbNSurfPOO8LJYdw4lago\nk2PHZOrV0/n6az+qKsQSXnjBzsiRAerW1Tl9WmLdOoWJE0XJL3Nmk9y5Tb780s/TT5vUrGmjQweN\nV17R7utiBmjQICvPPgs//iixbZsv3YW6Th0b330nU7OmzscfB6hVy86YMX5u3pRISoJ581Ru3xb6\nsaYJy5b5uXHD5Nlnnfc1UX9j716Fdu0ys2nTPdq1iyJLFjFi8u23XgoXdmCaEBNjsn//LQzDCJmO\n//YbFC/u4PhxT5iXYhC6DsWK2VmyxEfx4ul/Hd1uKFTIwQ8/eEhOlujSxcpjj8G0ab6wknbHjlYq\nVDB47bXwVCXIph0zJoLPPosgKkpkjj//7KFsWTt58wp7N0URG5FAgFBAVlWIjjZ54QU/cXE2Fi68\nQ7VqBjNmODl1SmXSpEDYAjtsmAW/X/SpHwVN03C73aHNy/9CNmWaZkgIJDjreeaMcJj59VeIjNSx\n2w1MU75vLi+jqtJ9kX+TIkU0cuY0sNnEpkGShNzjxYsqSUkSFovITLdtk/n+e7HxyZXLoHFjHz17\nJuNwaKFysqZpISPmf+re6LqOz+cL045t27YtM2fOJHtQv/L/H0j3hv7n/jL/P8EfNZEOimY7nc40\nmcu2bSpVqgQyfIhPnpSwWh8+KpKQAIcPS1SsqIcEFnLlMlm3TqV+fSeRkUIvds8eiVy5zIcGSxC9\nwc2b7TRurFO9uknt2haaNNFp1MhAUQQZaOJEsYDXqycYlUeOONm3T6Z5c43SpXWaNjWZMsXK1avC\nb7N4cR9Lljg4e1YhXz6DHDlMRoywcP68ErLHUhRYsEBl926Z/PmFqkrx4gZz5qhMmqRSqZLOxIl+\nqlQxGDVKZfRoC40bWxkyJMCNGzKxsTodOljJlMlElsUQfNmyBmvXKiQlSSxY4OOJJ8TnNmaMnyZN\nbFSunEDOnBKRkS4+/lijVy9h4/X++xZGjAhfqA0DNE0ce/duhXLlhAj7vHkqRYoYREYKFuOGDQob\nNwb7v3bq1DHIn18seuvXR7N6tUKlShrr1tno2NHDmTMSJ0866NdPxukU5I6LFyWWLbPToUOKfdr8\n+Sp16+rpBkvxLMlkzkyGwRKEaELJksb94GiyebOPTz+1UKGCg8mTfdSta5CQIBxMRo9OEXMNZrs+\nnw9FsTFuXAQOByQmSlSpojNvnpi9LFNGCIwrihirWblSYcCAAL/+KjF/vkqvXgE++sjGyJF+6ta1\noOs6e/cqVK/uISHBjaIoIX3Yffus9OjxcNZ3kNgTCARCdlX/CwhWk3RdD9sgFy4s/hNQME35fsnR\nF9JnhQc1coMbXlF1KFo0XGT3zTelkNdlyjpiD+m+BrWHg4pHQb3XoPbr31Gyzgh/pCT7/zr+L2Cm\nwu8xkfb7/aE+ZVBg/UGs/f/YO+/wqMpui/9OmZIKSBOpAl66FFEMTZCmqDRpwkdTQRHFT0SUJoog\nSEdEFKRKk6oIKEgJIiDSBUQ6Kr2nTT3l/vFyJjPJhBog98r6h+cZkpwzp7z73XuvvdZSG5JksHIl\n1K5tpstqVq0S5dirbQrj42WqVDGw2YRGpmUYmy2bxLJlfho2tKGqGjt2SDz77LXLNN99p+BwmLRu\nbfDMMyaxsRrt2qk89ZRBXJyNEyckYmJ06tTxsH69k7Vr/fz5p2DUjh7tRZbF0P2HH0qMG5fC6tUK\nH34YgySJXmT58gYXLqjs3StTpIhBnz5uqlf3cuqUyfr1Kjt32jl2TPy/zyfE3n0+0e9bt05BVQkQ\nf9atU2jYUCEuzqBMGYOaNXXOnBEL98KFKi1aaMyd66VzZztdu9pZvtyLJJmUKOGmVSud3r2zM3eu\nKN3WqmVQrJhJ9eo606YJr8uWLXVOnJCYOVNh/HiVpCSJBx4QJc1ChUw++shGYqIQGy9SRPTyChSI\nQFFg5043q1cr/PijwsmT0hX/RxuyLDF/vofOnR2sXu2hYsUImjTxEx9vQ5ZFiTYqyuStt6J5/vlL\nOBwqkqTw1Vcqkyf7MrxvX3+t0qHD1QPMzJkqbdum/ozNBu+/76dOHZ2XX7bzww86ZcoYPPGEjjVP\nbpU6AaKionj7bWcgczRN0Rvt0MERIC6dOyfxxBM6+/eLTVC3bhplyzopV07no4/sdOvmp1s3HRCL\n9tatNgYNMoiNVdE07Yo2rI8tW2IoVSoRl0sOBFIrMEBqtivLcqYqb90qgrPd6Ojoq2Z0Vi/UYsZb\nUn1W8LRkOK0AZ0nQBf+s9fPBsK6T1W/2+XxERUUF2iJWxUzX9UAWGiygnhlZaLiSrN/vz5S5y/8L\n+FcHzKtZfKVFsIvJ1Rh6Xi9s26bQubOHjz+OpHNnibZtdbp108mfX/zMypViRONq+PFHqFHDhWEY\nASKChVKlTL7/3s8zz9iQJFi06NrlrcmTFXw+YcB88qTMjz+Kcu7q1TLPPednxoxLVK+eh5w5hfpI\n8eIaL7/s4K23fMiy2OX276/yxBNeihTxs2FDJAUKmBQubNC+vRhij4kxqVTJIHdu66gOSpaEWrVM\ndN2HrrsDiyeIHff58yqffx7JjBk2ihY1qF7dYNs2md27ZbZvF72h/fvFaEe2bLB1qztQZnz+eZ2l\nS1U++0ymY8fLqKrKBx9AjRoK8+YZgRGOwYN9PPOMk5kzPbRs6WTyZJ29ewX7VZIkdu70cPEitGjh\nYPduD0WLGnTvbqdmTScVKxqULauTnCy0VUuViqBMGYP8+U1q1BCZ5+XL4jlq185BYqLE6NEqxYoZ\n7NsnelOKIgg6Xq8YfSlRIjsPPaRhGCaJiSZbtmhomkmlShIOR2pGcfasUMkZMybjgHrypCA9zZ6d\n/nmqVs3g11899Oxpp08fO+++6w8pKdrtdhwOBy6XxOTJKtmzmyQkCAH5115z8MADJsOH+3nggQgc\nDiFi362bg7ff9vP77xJnz0qcPy+YuZ98khqwjx+X8PkkHnzQDIxb2Gw2Dh2SuP9+KFgwIkD6CA4e\nIN4zp9N5VXH5OwnLCs/n8910tmsFr+B2jxXkrGsQPguVQrJQq38ZrN5kfRY8tpbWfUTTtBD3kVvJ\nQjMiGmWFe3UnkDW2b1kAGQXMYFKPzWYjNjb2qi/NL79IlClj8N57LuLj/axaJUgglSvb6dZN5ehR\n2LRJypDwI8qvyaxYIdOwoUxERETYnytb1uTTT/2cPQv791/9YT1yRPTwatTwMmiQyiOP2Dl4UOaF\nFzS2bLnAmTPQsGFuihc3WLJEoXdvLz//LHQ/GzUS12TpUmF6XLmyyQsvZEfTRMBatszHCy/oNG+u\n06BBcLAMvbaWM0faGbhcuTT69r3E77+f5v33k8iRw0/p0hpFixq43cL7sXt3P7t3ezh4UGLz5tRF\nZ+hQH1FRBoMH2zlwIOqKQLTMpEneK7Zg4roULmxSooRB69ZOsmUTYzq9evnYtUvhu+88FC5sUrGi\nUB0aP15k3X6/xIIFbgwDPv3UFkK48fvhxAmJU6ekkM/PnJFwueCzz2wcPw6HDgnXmJde8uN0igy6\nXDlhp/bWWwYpKSpPPKGza5eNN9+MoGDBSJ59VuXTYYkdCgAAIABJREFUT3X++cfH5MkyTZpo5MiR\n8b2dOVOhSROdjOwIs2WDnj3F8SdOVOnWTebMGZGZWH3BTp3smKYoxVo9teLFDfr397N4sUxSEkyd\n6uX99+3IspAwbN9eZBSNG4ueczA2bZJ5/HE9XQVl82aFKlWMdALrVpZkBU7LmcUSVrhRf8bMgmUg\nr2naLY+xpMX1auRa6kSSJAWcWqz+pWUKHezWYl2rq7mP+P1+XC5XwEj6Vq5xVhj1uJO4FzCvIFzA\n9Pv9JCQkoGlaiCDA1SD0XFMfvoceMhk2TGf3bh+xsSaPPmonZ04xfhCMYNPqP/9UUVWJcuXUqx5v\n3z6Zli0N+vZVmTYt41s5Y4Yw7N282cH58xJbt3q5fNmkVatEChWy8+OPYo7w999lcuQw2LRJYeBA\nO716+TEMP8eOJfP661EUKGDSr1/EFV1WX2Bs4kYRzpXivvtiqF1b4s03PQwenMAPP5xl0qTLOBwm\nAwbYGTlSYdYsL92729mwQcbv92OaSUydmghI/Oc/UQFbr4oVTfr29dOsmYPXXrNRunQEsbFC03Pm\nTB/t22v07Wtn0CAvFSqk3vOBA/0B4faqVXWeey6C6GhBLDpxwh3ovY0e7WfoUD/Dh/spVMikQgXj\nijatl//+14thQPXqfjRNIioKDh6U+e47L5JkLZTw9tt2kpMlJk/WmDhRZ8sWHwcPunnpJYMdOxw8\n+mgsw4c7KFbMRWJiqqxdMEtS12HKFJWXXrp6hWH6dJWOHb2sXXsOSZKoWTMX06Y58Pvhr78kli9X\nyJVL9FlNkwDhqXp1nS5d7Nx3nxilSEiQ6N/fT8eOoo9dqpTJzJnps18xZ5l+Q/jrr+nnL63F22az\nERMTE3BpsUhRFrEuKSkpYHIczqUls+H3+0lOTg5oTd/u0vD1qhNZQVSW5UDGawVRWZYDpdxguzNL\nMD7YfSQqKirEfcTr9ZKSkqpBbD1raa/zvz3D/FezZEE0zUEIsVsPodXf0TSNyMjIDI1608I0oVw5\nG9On+yha9DI5wqQGL76osmWLIP18+aVG5cpmoG9jOS2MHu3g+HGJsWO1wIIRbjA4Ls7GkCEa+fPD\nM8/YeOUVnR49Qnf2mgYPPWTn0iWYOfMydevK7Nih0a5ddv7804eiSOzcCc8+ayc6Gt5918/nn9vY\nu1eiWDGdiAiTQ4dUPB4hgjB4sI+2bcP7PGYmrJLSiRMG/fs7+P57JzExBh06uJk+PZKJEy/x5JNi\ngZk2TaFPHzuVK+u8957GmjUKCxcqnDghUaiQweLFPgoWNJk1S6F/fxuKAt27a4wYYWPiRC8NGqQu\n7u+9Z+PyZYmaNXVmzlQ4elRm7Fgf9esL4kz+/BGMHevjxRd1duyQaNzYicMhAvScORLz51+kdu3c\npKQIG6+YGFHm7NxZyPONH2/jnXd8DB9up2VLjalTwwe7qVMVxo0T2rQJCdC9u4fmzV3IshYora1e\n7WTYsAh+/tmT4fPpdpuUKhXBt99eoGxZB6pqOcgIMXi/X5R1TZNAz9fhEHZo8+crbN8u07Wrnxkz\nhJZq7twme/bI3H+/yZdf+gJuNsGoVk2wjNOq+Tz8sJO5c72ULm2GEHsiIyOv6T1rBQKrpG+JrVsl\nTMtc4FYX7hs9rzsFq9IV3C+0gmFwL9Qq+wb3QtOu8cG90LTHCO61Wpuz4FKu3y/IjJbUoq7rNGrU\nKEtYb2Uy7hlIh0Ow2o/lO5iQkIAkSQGh9Ot9CVNVc8KXKkxTOJjMmaPRq5dOs2Y2PvjA4OLFVP1X\nVVX54QfhFGKdV7i/9ddfYgC8enWThx4yWbvWx+zZMm+/rYQMOK9cKfqA9eoZVKvmxe128/330bRu\nbaIo4jt/9plghg4Z4qddOw2Hw+CzzxKYOjWZPHmkAAnk77/ddOp0+4Ol9b1VVaVwYTszZphs3Oim\nYkWdMWOiSEqCVq3u45lnInjlFYmVK4U7xurVCq1bO3C54MsvfRw75iZXLiHg/uefEtOmqfh8Qlz9\njTcEcahbNzv9+olRB4C+ff2sWSOTLZvJxo0KtWoZ1K8v7kVsLFSqZDBggJ2EBJElDhzoIyrKpHDh\nJE6eVNi6NRsdOuhomlDjcbuFvuwvv8isXKkSGQnjxtlRFKHeE07VxTBg/Hgbw4b5WL/ey4QJfr7/\n3klcXE6+/fY+7HaRfX3xhZ327ZMzzL40TWPOHI0yZTTKl09d/CtUMFm2zMuLL/o5cUIKjIg88IAo\nXe/ZI3HggMSlS6LkvGmTgssFiYkSf/whSvlJSVLYLDIpSYhfVKwY+n9nzgi7s5IlxUYoOTkZ0zQz\nlI1MC6vEGBGR6pdqGSdY2aB1HTLyCr0Wbua87gSCz8v63tfKQtM6tVxvFhqc5ab1wLSuqyU4sGTJ\nEvbs2RMyYvL/Hf/6gGnBYsB6PJ5AP+FGd6uWiLn1a2lf2D/+EP9RpozJ88/7WLnyAps2KbRokZvz\n50W59/x5YchsacxmFDAXL1Z47jlRSgXInx9Wr/Zz8KDMc8/ZuHBBfD55sgiYDRsKQdqIiCjmz7fT\nvLl4Uc6dM1i0SKVYMZNnn/Uze7aOz2fywgsyY8dGEx+vMHiwjzFj/Nyt9cMwDAoXdjFz5iWOHEkK\nOGVs3Wpnzx4b9ev7mDz5MvXqeXC5THLl8lGhggeHw6BvXx/z5qlUry5Gan791cPcuSq//ioTF2ew\naZOHP/+UqVrVycqVMjExMHKkn27dRFB7+mkNv1+Ij//1lxBoj442ad1amEi3aJHMU0+5WbUqmoED\nNXr3dhAba3LmjMT8+V66dfOzZ4/MqVMSffqIa+jxCLEBw4AGDdIbE3/7rUJEhEmdOuJZql7dYMkS\nL1On+pg9W6Vq1SimTYtk3z4b7dsL1qbdbg9kR4mJiSQmJpKSksLUqZF07aqHGTaH4cMt71FB2Dpz\nRmLKFJWTJ4XY/MGDgqS0c6cc8MOsW1enY0c9MHKTFlu2yJQvL7LUYPz2m8Jjj+n4fB5SUlICqks3\nmxGG64tbfcaMvEIzGvoPLkk6HI7rar3cKVgKR1b7Iu153Uov1GazhZCtrtYLte6XlckahsE333xD\n8+bN+eWXX2jcuDFDhw5l3bp1uDMw97xe82iA0aNHky9fPrJnz87LL78cmJe/27hXkvV6cblceDwe\nFEUhNjb2pl+WGjVsfPCBRp06JhcvXiRHjhwhf+uTTxROnYLBgxMDM5yqamfUKJVx4xQmTdI4cwaW\nL5eZO1ekiYZhkJCQkK68W7Omjf79NerVC71Fmgb9+yssWKDw8cdeXn9dLOyHDrlRFDcbN0by/vtO\nfvnFhSRJDB5sY9QoG6tXJ5Ivn4eaNXMxaZKPwYPtbN4s8803Xp566u6pi/j9ftxud7rh9fPn4Ysv\nVD77zIbLJTK/KlUMVqyQOHJEoXRpjUuXZGTZpEkTH/HxdsqVM/nsMx+rVqm89ZaNX37xkDu3yPyX\nLVPo08eG3Q7332+ybp2MwyH+T9Mge3YC85QnTohzyJ7d4OGHdYoUkVi5UmHvXg8NGzrYv18wRP/7\nX43nn9eJi3Pwxx9CUalcOZ0PPrCjqlCkiMHBgzLjx/vo2FEP3L9HH3UyYoQvRJHJgnnF9/TFFx3k\nyGEyd66XcuVSnwGLzS3LMtu2OejaNZoNG86hKISUL3v0cPLVV6nShV26aGzfLnP8uBiVqV9f4+BB\nmcOHZVwuwfItVsxg/Xovo0aJ+cwhQ9IvYoMHq5w/L9GsmWAWm6ZE3rwms2bJZM/uo0cP122Ttkt/\nrcx0ZVzxfUOZqJbxtBUQsgKszY/VFrqV87re6xCOkWvBKuF6vV5UVQ0QoPbu3cvYsWNp2rQpmzZt\nYtOmTUyYMIGKFSumO49vv/0WWZZZsWIFbrebKVOmhD3fFStW0LFjR9auXUu+fPlo0qQJcXFxfPzx\nxzd9DW4CYYPAvz5gnr8iVqqqYl4sJty2+Trw119QrZqdo0d92Gxw6dKldHOacXEqffsmUKuWmW7R\n2LBBon17G1FRJu+8o9OunXhgTdPk0qVLIYarf/8NcXF2jh3zhVWuMU2T77/X6dRJkF0qVYIFC/wk\nJSXx6qsxVKli8tprOpomU6BABHXqeJk0KZGRI7Oxe7eQ8XK5YM0aD2XK3J1HwDCMgOakVRYKB9OE\nr79W+PBD0ZssW9bg778l9u8XpcPx4z2Ypk5CgsbLL8eQmCjx5ZdJTJsWyZo1dl58UeP334Vs2ZEj\nwr/y5EkZWSagAzt5so9ChUzy5DGRZYOHH46kcmUfBw/aePddH3v3KsyYoaKq4HQKlZyOHYUZ9ief\n+Dl8WOLdd+14vaLc2qePjwED7NjtIEkmui6xY4eHokVNJkwQIupLl3oznNM9dkyiRg0nPXr4GTPG\nRqNGGv36+cieXYgQOJ1ObDYbbdo4qFXLoEsXf0gPcPVqhbZts6PrkD27+F4PPih6k14v9OnjZ9Ag\nO9HRJqdOSdhskC+fydq1HnLmhGefdfDaa6mWXYYhpB6//VZl1iwFux3KlTMCsngnTpj8/bfM9Okp\n1K2bOfOAN4PgHp1VWrRILDabLRBA7vbsp8VpUBTltmS7aXuV19sLteY8rdlZWZbZsmULP/zwA6NG\njbru4/fv358TJ05kGDDbtm3Lgw8+yKBBgwBYu3Ytbdq04dSpU7f+5a8f9wJmOFikH6sce7OKFaNH\nKxw4IDFhgsgMg6X2DMNg/343depk5/BhFxER4enpR45AuXJ2nnjCYNYsMU5gBczgbHXUKIWDB1OP\nFQwrw/D7oVKlnOi6EMd+6y0/jRp5qF07ml9/PU/27DojR0bz6afR/PHHRU6fjqB+/Qh8PihVymD1\nai+Z7NhzXQieE7wRSTRdh59+kpk2TWXdOlHSPHtWeHq2aKETEQGXLoke8uHDwjlE6H8avPqqm7g4\nnZMnbbz9diSTJnl5/HGDmTNV3n3XRunSBjabxJkzcP68KFNas5WmCQULmiQmSrjdJj6fhGGIzw1D\nCDp4PFLAfsxmE0FK0yQcDnGOhiH6hytXeqhVK4Iff/RQqlTGr17Xrnbuv99kwAA/ly7BkCEqc+ao\ndO3q4s03ISpKZv9+ifr1nfzxhzvgxwlw7hyULBmBxwMFCxqcOCGzePElWrXKgc1m0qGDl6NHFRwO\nWLTIhs0mzm31ag/58omRmgIFIvjzTzcxMTBrlsLYsSIzb9VKY+hQG3v3it6xRVRJSdEpXToPx46F\nnsvdQvBspfV8BQcPi+QSHEDvVJC31iFr03OnjnutLBQIzO4Gl3Hff/99Tp48yeLFi6/7WNcKmBUq\nVKBv3760aNECgIsXL5I7d27Onz8flkh5m3CP9BMO1s2/VYuvhQvlEBcIi0Tk8XhISEhg+XInzz5r\nZBgsQfSKatUyKV3apFo1O3v2SGGF4efNEwLpwQieF7Xb7cTHZ6NgQbFoL1/u5uhRiWrVYnA6Yc6c\nbHzzTQSffhrN44/76dMnkieeiLgSWN2sX59EZOSdL8MGC21bhIPrXTAUBZ56ymDuXB9//+1mwQIf\nH33kw+uV+OILlXXrxBjEhx9qTJnipXJlg8KF4f77JVaujGDqVCd9+zqZOfMCVasmYLO5ePnlFBo3\nFp6Yb7yRQu3aHipX1omP9/DAAyZnz7qpU8egQgWDli39eDwSe/Z4OHPGTaFCJtHRIrPq2dPPk0/q\nKArUqKFTtqxxpS8qBcaLTp4UTi0vvqhdNVj+8YcYA+neXYgQREX56NfvIitWJLF7t5NKlSKZNk2Y\nYHfr5g8JULoOdes68XpF9pySIlOnjs6RI1H4/VCypMHjj2v8+qvK4sXiOS1SROeHHxLJnVtkY9u3\nyzz4oPj38cedzJmjMnq0j02bPNSqpVOwoEmuXIJwlJSUhCRJHDgQS8mSRpYIltZspWURZvXyrB5g\n2pEWl8sV6Adb7NnbMdJiWfVZIvN3Wrgho16oxYz1XDGh3bNnD3379mXhwoV06dIFWZaZPXt2pp5L\ncnJyyFRAbGwspmmSdC1j4DuArEEDywK4lYfz4EGhm1qrVuiLZPWSYmJiWLLESd++V5c4s5xDXn7Z\n4JFHTJ56ysbIkRr166f+zIEDEqdPS9SsmXosa5ZNluVAGfjLLxUKFzYoX96kQgWTzz/389tvCo0b\nezh/3mTWrBgMA4oXl1izxoHNBj/+mEL58n78fi3wggT3vW7XTjut+sytkEFAZHGVKhlUqgT//a+b\n0aNVhg2z8e67MmXKGNSubfDiixpbt8osWqRw/rzMb78p/Pe/fooXjyQyUr8i5abx9NPJ/PZbNK+8\nEk1srMnrr3vZsEEmORn69rXx6KM648bZcLkUcuQwOX1aELAWLfJSq5YTWTbp0cOOJEHTphrffady\n6JCbOXNU+vcXJfj27TUmTLBx/rzETz/JtGsnvCTTXyfo08dOz55+smUzcLncgVGk0qUV5szxsXmz\nzHvv2di6VWbQIAOXi4CoQdOmDo4cEazYWrWEPdnUqT4eftiJ3S7ITg0aRCPL4li5c5usXZuM06nj\ndgvW5bJlMXi9Kt262Rk2zMtzz5mB0vGmTQqPP65fEb5PVcYRn99dlw1I7Yc7HI4MA1I4VZ7g8qXF\neQgeabnVLDS4BHst2b07BatnaWnWxsTEIEkSOXPmxG63M378eA4ePMh9993HuXPnqF69Oq+//nqm\nHDs6OprEIJ86a2rhZttlmYl7AfMKbiXDtCyxVDVUoNlilh07JnHkiHRVuy+XS4yAjBwpHtAXXjAo\nU8ZPq1Y21q2LZcQIk8hImDNHpnlz/Uo50AyooURFRQUa8Tt3CiPjkyclJk70IUkSP/9s4vcb9Ojh\nIjExgokTZXr3Fm4hp09LbNjgplQpGRBekGn7PZaEWXAAzQyXBIvJZy38mU26kCTo0UPjrbc0li6V\n+fJLlblzFS5eVJEkyJnTpEwZg/PnJUaOtDF8uO2KwIDIzmVZ/BsRYeJ2w0cfOXE4BDnn88+Fm4S4\n70JvtWZNJ9HRJnnzmuTKZXD4sEyNGjotWwrNVemKN+bcuT6io01ef93OgQMyOXKIkvGOHTKPPeak\nbl2dN9/UiIsLtmIT/psvvugmOdkddnNRpYpBvnwmL76osXGjzMiRETRvrnH6tMSaNUJ5KE8ek59/\nVujb18/EiQoXL0p06qRRt64TRTFJSZFwOmHuXB85cqTOEP36q8T48U7i4vxMnnwZp9NPcnJq+XLD\nBpU6dVyB7M3qBf76q0KbNlffLN5OBL+TNzNbafXrrPcrreyctblM2wO81rsRvFG05ACzCqwgbmWd\n1vq4Y8cONm/ezKxZsyhZsiQHDx5k06ZN/P3335l27DJlyrBr1y6aN28OwM6dO8mbN++dLMdmiH99\nDzO46R2OjXotGAYUKyYcGNq39+JwpATmliytzuHDFf7+W2LcuIwXjfnzZaZPV1i6NJR5ePkydOoE\nZ86oTJ+u8eyzdubO9VOmjDfwQFuLphXkrJGIdesUdu504/G46dw5iipVoHt3k1q1HBw+LEq9brcw\nUr6eDCDc8HjaReJ6CRPhNE3v5M7aNOHiRaF7mpIi4fWKILl9u8xvv0mcOmXidApHmT/+UChVyqRB\nAx23W1QUDhwQ7iYTJiQRG+sHZDZssDNsWBR58kBCAng84vqCsMCqX1/MOO7bJzNmjBA/ePRRB/v3\ny7z+ukZyMkybJhbzunV1Dh2SyZ/fpFcvP2XLGlSr5uSrrxKpXNmbIRFq0yaZDh3s7NrlISJC2Km9\n8oqdn38W98XhEDOrsizRrp2fzz4TGwRL/F5RBMHHsvey+rTjxqmMHGkjJQX273eTM2cqIURsqPyU\nL5+T7767wIMPEhAflySFwoUj2bLFE/AqvZO43QQaC1d7N8IJK6QN4lmJnWu9l8HauT6fj379+pGQ\nkMCECROIvgmCgzW2MnDgQI4fP86kSZNCeqQWVqxYQadOnVi9ejX3338/zZo1o2rVqgwePDhTvuN1\n4h7pJxyshzwcueZ6sHq1RLduKsWLa2zerBIXZ9C+vUmdOolERKg4HE4qVLDx+eca1aplfDlbtFBp\n1MgIsGODkZCQyIwZsQwaZCcy0mTXrksYhhbIKoOZbOfOSVSqFEn9+jolS2p07XqZCxfsVK+eg717\n3axZI9O+vYNs2UCWhbh269ZXF4LPCGmJAhZh4lrqK1ZWaZomERERWWqxCCaDWKSLxYsVpk5VWbLE\nG/hZXYfixSNYtUqItQsGoUaVKjGMGZPAI4/4URSFPXtsPPWU6McYBuTIYXLunLgeERHw8MMGu3fL\n2GwmTz9tsG2bxOHDMoYBLVtqPPWUwSef2Dh1Cp580sukSS4iIsIToTQNqld38vbbflq0EPd03DiF\n3r2FBmzFijr79imkpAgy0q5dgvxUu7ZgCvt8Ena7Sc+eGr/9JvP11z7cbpER79sn8957PgYNsvPb\nb57AMa17efiwxPPP38eff7owjNRn4o8/JDp2zMG2bQkhpf3bjWDrsruRvaXNQi0SjbWp9PvF83Gr\n7YfMREZB/Pjx43Tp0oUXXniBzp073/T9+/DDD/nwww9Dvu+AAQPo1KkTpUuXZt++fRQoUACAMWPG\nMHToUDweD82bN2fChAl32ubtXsAMB+uBBsLOTl4NpmnSurXC44+76NJFxzAi+f57henTFf78E7p0\n8REXJ/PGGyp79vgzHBO4eFEYNx865CMcSTcxMRGHw0HbthFs2SL6cJ9/blC4cGqgBFFWHjLExrFj\nEkuXKqxff4HChR0MHBhBcjJ06qRRrZoTpxNiY0369/fTocPNBcuMroeVcaR1JbF22lZ5925klVeD\n6Fm6kSQpoCBjISlJGDTv3+8mWKHwzTdtFC5s0qNHauVgyBCVCxckhg3zBp6t1q2jefppN5cuKcyc\nGck//8iBcq+uQ/XqOhs2KNSqpXP2rBhvsduFpF6JEgaVKvnZtUtB02SyZ4f33vNTv356e7gxY1RW\nrFBYvlwE9oED1UCJuWZNIe23Y4eM0ymCqxhrgYceMjh0SIzSbN7soV8/G08+qfPUUzqtWjkoXNhk\nwgQfEyaonDolMWKEqIIEz8jOnx/N6tUK06eHastOmqTw228Sn32WkuEzkdkGyFlxQ2a9G5ZOq1UR\nutkKTWYjXCZumiarV69m0KBBAdGBfxHusWTD4UYsvoKh6zqHDqUQH6/Qvr16hVkm0aaNwYoVfhYu\nTOLAAZlmzWwUKmRyxXowLObNk2nQwAgbLC2cP+9l/XqFdeu81KwpUbWqnQEDFC5fNgINercbJk1S\nyZvXwxNPaBQtGonLpTJ1qlDyqVnTiWkKUswnn2RusIRUwkQ4VxJLE9fr9QYWhbvlQhGMYJUXqyeY\ndtGKiYGqVQ1++il04W3SROfbb0M/a9FCZ+FCFcNIlXLr3BkWLIjhnXdMtm1LYMOGS9x3nwh42bKZ\nbNsm/sYvvyg0aKBhtwsZuooVdfbvl5k718HAgX62bvXSrZsQjq9Z08HixUrAQ3TvXonRo21MmODj\n/Hlo08bOyJE2TBNKlDA4c0aUmyMixDFtNnjtNT/Zs5vs3SvjcJj89ptg/65dq1CkiMGTTzqpV89g\n2jQfkZGwfr1CjRpGIBNxu90BNvPGjQrVqqWvjmzapFCtmhn2mUiryJMZLFRN00hOTkaW5dvSE78V\nWHPFlrRfOFm7xMTEAFv2Tr0flppQsPqSrut8/PHHTJkyhR9//PHfFiwzxL8+YAbjegJm8PjG1KlR\ntG5tkDNn+l5SmTImw4alYLdDVBSULWtn+nSRWaTF118rtG+fPnhZx9I0jSVLnNSoYVK4sMw77/jY\nsMHFP/9AuXJRDBhg5+BBk8mTDSpW9PHTT5G8/LIIpJ99phIVZTJsmA2/H3LkgJUrPSEjMLcLViC3\nylNOp5Po6OgAqciScbse+bLbgdSZVX9gxCCjTOe55zS+/z508a1Rw+Cvv2T+/jv1d4oXNylQwGDd\nutRXq0EDnaNHJQ4eFOML5co5mTjRT+HCBg88YODxwP336/j9MGaMjYoV/cTGGuzYoVCokE727CbN\nm0dQr56DunV1fvvNQ69eGp9+qlKhgpNhw1ReeMFB374+5sxRKFMmgqVLRTB1OoVjzqFDMqoKUVEm\nXq/EiBE+vvpK5fhxiUKFTPbt81CggMmOHTIxMSYdOjjp3dtP376iMuL3c0VO0B/QNY2Ojg70UTds\nkKlaNf0ztWmTTNWqqfc0I1cOS8zb6/WSmJhIUlLSDdl7Wc+Ty+UKaK1mleqFNWJjmWIHj7JlJGtn\nZXxpNxOZ+X5Y60vwKAvAuXPnaNmyJTExMSxatChENOXfjn99SdZSrwBBX7Ye2HCwsiQRBCIpXTqC\n+Hg/xYunv0wej4dJk1Q2bnQyZ47Gli0SPXuq6DqMHavxyCPid3bvlmjSxMaBAz6CN8PWsaygU79+\nNvr1M6hf3x9QJ5EkiaNHYdw4mYULbSQkyDz2mM6BAzIDBvjZuVNm8mQVp5MrbiMmBw547pgggVXm\nBDIsjWXUB72dg+PB/a2rjRgE4+xZqFAhgiNH3AR5edOtm50SJQy6d08ty44bp7Jnj8yXX6aWJz/8\n0EZSEoFypmlCzZoO3npLQ9dNevWyc/Zs6jnIMkRHGyQmysTFaVSsqPPllw50XUjUPfmkYMNu3y6z\ncqUSEI8P/v0BA3zUq2fQtKmDs2clIiPFM/DYYyKgX74s0aSJzsyZvkB5t0MHO0uXKsyb5w2R5vv1\nV4nu3W2sWnU+3VD9qVPw6KMR/P23O8Tu7fhxiWrVnBw75s6wHREOwaX94JZJ8DMRXMa9Wjn9biL4\nObtZ82nTNEOIRJn1flgzz5IkhfRRN2/eTK9evRg2bBi1a9e+4fP9f4R7PcxwsB5qEL3CcA928PhG\nZGQkdrudsWNVfv1VCmi+poXb7eXxxyMZM8YIjJMYBsyaJdOvn0qTJgYDB2r076+SJ49Jv3564FjW\nrs861saNXjp2jGb3bsFaDNZ9tALSwoUxTJydMEy5AAAgAElEQVRox+8XrhoXL4pRlnz5hKnz3r0y\nP/3kpVKl25/B3UxACv7dqy2WtzoPej1BPCM89ZSD7t1TJeFAqAsNGWJjzZpUQtCpU1C5cgQHD7oD\nM5DHj0s8/riTffvcAdHylStlevcWJBpJMlm61ODll6Nwu8V3e/RRnR07ZHw+YeycL59OUpJMUlJw\nG4GA20hUlBgJkSTIm9ckTx7hoKProldqs4mfdThMXC6JRx4xWLcu9bwnTFDp3Vu4pHTpkvodDcNg\nyBCJc+ckRo0y0gWk+fMV5s9XmDcvNGrPnauwZInC7NnpPTNvFMHPRDALVZIkNE3D4XBkqZ54cB81\nM7Vz074flg1X8EbCIttlhHDzqIZh8MUXX7BixQqmT5/OAw88kCnn+38Y93qY10K4kqzP5+Py5csA\nZMuWDYfDgcslMXq0Qt++GZc1f/pJxWYjRMxAlqFdO4MdO3xoGpQvb2fWLDkgvG0ZVhuGETgWwJQp\nTtq2TcHrTTV3FZJjou/mdEYxapSD11/XOH5cOGOULSvcJJo21fnzT5l33vHfkWCZtsx5o4tYcB/U\nMpcOdqFIq7xyvTZOwb1Km812U/2tRo3S9yxr1RIC6sePp37HfPng0UeNkBJugQImNWvqzJ2bWr2o\nV88ge3aTqVNlfvzRz59/ivKtNQO6ebOCpknExopAd+aMQs6cJhERZkBDWJbFSEjZsjoVKhiUKmWy\nfbubihUNjh8XP6PrEB1tUrq0uP/33SeEHXr1sgT+hQjDhAkqdjsh7QHLOmvDBjt16shhF/4NG2Sq\nV0//bG3YIIfta94MZFkOlHGjo6MDQ+xW4PT5fIEy7p3s/4VD2j5qZma84d6PmJiYgFtNcEnb7XaH\nlLStsrXVe7bezcTERDp27Mi5c+dYvnz5vWB5FfzrM0xI1ZNNTk4OWNkES2gFiwIADBmisHu3xOzZ\nGc9V1qmj8p//pNCpU3r7JgvvvKMwbZpCXJzB0KFJPPBAalZp7STPnDGpVCmSHTtc3Hefjs/nC5SQ\nrRGOefOczJrlJHduk1WrFKZM8bF9u8z27RLr1inUrq0zf76P21mpCh7JuNGs8kaRVjj6WvOgVqCF\nG88qg3H8uERcnJMjR9whovddu9opWdLgzTdTn4d58xRmzgwdRVm3Tubtt+388IOHtWsV1q1TWLVK\n5sQJicce06hYUYiWA/Tta6d6dZ3ly5XAjKSlUSvLguHatKlGZKTJ8uUqhiH0bEuW9LNvn43s2Q3O\nnhU+p7ouMlGbTTBs27TRqVLFyeHDbgwDunSxc/q0RJs2GkuXqixc6A0ZMZDlCIoWjeHPP92EG1Ou\nXNnJxIm+dBuySpWcTJnipUKFzF1GNE3D7XanY3SmnYW80czrVpEZJdjMOo/gTNyq0lh2XbquBzaN\ne/fu5fXXX6d37940btw4y2ToWQBhL8Q9pZ8gBOu/ut3uAEkl+CE6cQLGjlXYuDHjMtPatUK+rlEj\nDxA+YOo6LF0qM2+ei19+MahbN5Zu3XR69NBDnNKnTLHTpIlO7tzg8fgDdj8Wy9Dl0hg61Mn77yfy\n9tvZWLPmIqqq0rlzDJomUbiwwaxZtzdYWgQFi9Rwu3tIGSmvWCMrwX0eEFlSZpTsChQwKVrU4Oef\n5ZD+XvPmGh98YAsJmM89p9Ojh52TJyUeeMDkn38kduyQOXZMonTpCGrX1qla1UPbtl4++SSWunVN\n3ngj9fclyceYMTb++MPNiBE2Fi1SSUpKDZweD8yZowZcVTRNuIrs2iWIG6dPi+9uGIIV++qrbl5/\n3U+2bAqff27nmWd0Ll2CF15wUKiQyfffe3nzTTv16+shASk6OppfflH4n/8xwgbLc+eE3dnDD4cG\ny7NnhVZusPXYreJqs5XBknbW59eStMtoTvhmEFyCvRPvwNVgkYksLobFh7DaGT/++CNdu3alWLFi\nXLhwgffee49KlSrdtfP9v4R7GSai7GqaJsnJyYGB4nAlO9OEVq1U4uNl7r/fpGFDg+efN6hcOVVP\n0zShdm0bXbr4eOaZxBAR4WAsWgQjR8osXXqR6OgoTp2y8c47Kjt2SHzwgY8WLXQ8HrG4LlmSTJEi\n4oFPy/6bMEHM3hUtauBwmHz4oYvnn49k82aVmBiT9esvkTPn7Zl3y2jQ/27DIkp4PJ6QslxGpJEb\nwahRKkePSowbl6rIpGlCxGD1ag/FiqUe75VX7Hg8cPasxN69Ms89pxMZaXDggMTXX18IiH7v3y/T\noIGT7duFgo6FXr1sbN8u8913XiIjYedOiW++UZk3T+HcOelKpmnidks4HCKY+v0imyxUSMjz5c1r\n8vXXbgwjtSfcsOF9tGjhZfz4KDp08NG7tw5IFCvmZPnyRPLnD1V5GTTIhtcLH32U3v/y228Vpk9X\nWbzYG/L54sUKX3+tsmiRN93v3Awyoyd4NTGBW3kuLJH2rDZbHPx+Bt9Pt9tNr1690DSN//mf/2Hr\n1q1s3LiR/Pnzs3379kw7vqU/a52L2+2mW7dujB07NtOOcRtxj/STEYJNpFVVDbnRwZg9W2bECIUN\nG/zs2yexZInMggVi4LtTJ4MOHXRWrZIZOVJh/XoPLlcS2bNnD/kb4sHxUqNGJH37emnaVOwCraxy\n/XqFvn3t6LpExYoap0+bTJ9+OawUWkIClC8fwZQpXtq3d7B9u5uFC1V69bKRM6fJrl0uIiJSF0rL\n887afd5KAA3OKrMaMzGc5F5aIlHwtbiRct2xYxJPPCHKmcG3o0cPG3nzmrz7rsbFizBxosr48TY8\nHvjiCx/PPqtjt5tcvuyhYsXsLFni4uGHUzdkb78tZiZHjUoNSoYhyr0nT0rMm+cNOJsAnDol8fXX\nMsOG2SlSxOT++w2KFTN55hmd2rXFqErZsiKIB7O4Dx+GqlUjsNtNRo5M4emnXRiGwZ49Drp2jWXD\nhgvppNrq1nXQu7c/rKH122/bKFDA5K23tOv6/GZg9ewzOyBZfb2rPRdXExPIKCBlBWS0wThy5Aiv\nvvoqnTt3pn379iEB7ezZs+TNm/e2nE9KSgr58uXjhx9+oFq1arflGJmMewEzHEzT5Pz584ESniUC\nnha//y7RsKGNZcv8lC9vBv0+bNwo8dVXCsuXy2gaTJzop2lTPZ02rUWIWbbMxujRMWzerAGpaj1W\necgwTBYuNOncOYpcuQzeeEPj+ecNChQIvR19+ti4eNGSWTPx+yWmTlXImRN27w5VpbG+a/DicDNa\nsFk1q4RQIfdr6XOGuxZWue5a1+KJJxz07++nbt3UALJxo0y3bnaaNdOZOFGlYUOd7t39tGvn4LPP\nfDz2mC9Q5vz001j++ktmwoTUsv6FC2I0Y/58L488kvp3NU30GI8elfjmGy958ojPL18WVl3t2mkh\npWALo0ap7NolhyjvnDkDDRs6OHtWZu1aEUitMufQoSoJCQoDByaHXAu3W6FkyWwcPeoiKir9fX70\nUSdffOELOWeAxx5z8vnnPipXvnnSj0VS8fv9NyWafrPHvJ4xDos5D2QqCzYzYGW8wX6ypmmybNky\nRo8ezcSJEylXrtwdPafp06fz0UcfcejQoTt63FvAvR5mOEiSFDCNtth1aXH4MDRrZmPUKC0kWIrf\nh2rVTKpV0+jYUWXPHok33rCxYoXMa6/JARNoj8dzxRQ5gqFDYxgyRMMw9BBZOysTcrvdnDzpoFYt\njT59dCZPVhk50k7+/CaPPGJQooSB2w1ffaXSoIHG99+LWUtVNYmJgU2bPOmCpXUMm812zd5fWksv\nC1Zv6071Kq8XN2MPltG10HU9wCy0+mJp592aNdNZtEilbl0RjDQNfv9d5tAhid9/l1i/3kORIuI5\n6dDBz6RJEmXLugJ9t86dNcqXj+D99wWjFiBnTvj4Yx/dutlZv94TIBWpKnz1lY9Bg2zUru1k8mQf\nFSoYtG7toHZtPWT+04LbDZ99ZmPJEqH5quswe7bC++/b0XX4+mtvIFhaxJ74+Fj69xfM5uBr8fPP\nEuXL+9D1JFJSQjOv8+clTpyQKFdOZLQOh3gfzp+Hf/6RqFDh5oPlne6LWwj3XATLPQaX+S22albZ\nMGZEOgoWPF+xYkVgvbuTmDFjBu3bt7/jx81s/OszTCCgoGE9bMG+a7/8ItG+vY2+fTVeeinjBeDb\nb2V69VLZutWHrgvR6wkThL9l9+4J5M8vdqJTpthYsEBm6VIPkCpAEPyw+/12qlTJzrx5qcxDTYOt\nW2V27pQ5eFDi228VChY0r5CLNA4elImPV/jlFw9lytzcbbuaFqxFoLAW/ayySARnlRk5eNwM0rIu\ng+dBT5+28cQTsRw+7GbXLoXu3e3kyGHy4IMG2bPDxx+Lsqqu6/zzj4e4uJzs2eMiZ87URb9nTxuq\nCkOH+oOOCY0bO6hZU6dnz/SB8LvvFP77XzsxMSYlShh88014MteECaLPPnu2j2XLFIYMsRERYfLq\nqxrvv2/jjz88GEZqFpKU5KRChUiOHnXjSMNR69XLRq5cJj17ig3VmTMGq1YpbNpkY8MGO8ePKwHm\nrmEID81cuUxy5iSgaXuj193a/NxutvWNwqquWPPFwRuLu60Jm5Fw+unTp+ncuTONGjXijTfeuCub\n3L/++ovixYtz6NAhChcufMePf5O4V5LNCFZwsHolwTuwuDgbug5t2hg0bqzz4IPpf3/XLolnnrHx\n3Xf+gIKPaZocPnyZzz+PZs6cSDp2NOjYUaNOHQdLlrgpVy61BJt2mH7oUCcHD0pMmxaeiTtzpsKE\nCTY6dfIzfbpK6dImc+YoLF/uoXr1zGUlBrutW8gM8kxm4Hb1tjJCcB+0fv0Y8uQx2L7dxkcfuWnZ\nUufwYRvPPutk/343up4q3PDyyzFUq2bw6qupQfDkSYnHHnOybZub4LbRX38JT81vv/VQsWLovTRN\neP11GytWKLhcEs89JwTSH3/cIHduE1mGf/6BmjUjqFdPZ8MGQU57802Nxo11BgywYRgmffsm4ff7\nA1nI7NkKS5eGFxioXNnJ2LE+/vpLYuZMlZ07ZWrW1KlZUyc+XqZsWT/duycjSTqaJnPhgp3evaOo\nUsXknXe0G7onWdXyCkKVcdL27DMiE90J83XI2Lty/fr19O/fn7Fjx1K1atXbcuzrwaBBg1i9ejVr\n1669a+dwE7gXMDNCcC8rJSUlhNmamAg//yyzfLnM99/LPPigSbt2Oq1aCbH0HTuEtN2YMRpNm4ps\n0Ofz4XIJMkVMTAxnz9r4+GOFr79WeOQRnYULvWTLJoWdXfznH5nq1Z388ouHQoXSX/4TJySqVnXy\n5ZdeXnnFwcMP68THKyxY4KVBg8zVmbT6R8HlnauRZzLLVPpasEZ/dF3P1KzyRvDppyozZigsW5ZC\ntmypGXnDhrl4990katVKJYLEx8v07GlnyxZPiERcjx42nM7UjNTCvHkKgwfb2LAhVMZw+HCV+fNV\nVq704PeLsZL4eIVt22QuXRLlUIeDK8LqGg0baoGgaxhQurST6dMvUbasEbLot29vp04dPZ0Y/969\nliE2VKxo0KGDUDmystCKFZ1Mm+alfHkzJGhUrRrD6NGXqVBBu+6gEa7vllVwoxuzjGZCb4Zkdi34\nfL50BtS6rjN69Gg2b97MtGnTyJ079y0f51ZQokQJ+vTpQ4cOHe7qedwg7gXMjBDc5E9KSs9sTf05\nWLVKZvp0mfh4ISq9caPMF19oNG5sBHah1qyk2+0mKioKSZKYOVPmk0/sVKxo8PPPCq+84qVdu0Ry\n5EjdsZomtGxpp3Jlg3ffTV+SMwxo1MhBXJzOunUKR48KubJly7yZpqhiXQ+LoOJ0Oq9axskMItGN\nINhS6m4urGfOQKVKERw44CYqKrV/NH68zM6dDiZMSAoaW1CpUSMHI0d6qVXLDJzziRMSVaqIcRKL\nzGPh1VfteL0wZYrQeZ02TWHYMBurV3vDGjEbhuhdVq7sZNo0H1WqpD4PpmkSH2/Qs6eTTZtSQoha\nfj8UKRLBtm1u7r9f/PzlyzB2rI3x41Vy5TJZvNhLiRKhxzx5Ukj9HTsWqh9rXZe//nIhSdcOGkCW\nZZpmJukonNhGMF/gRjVhM8rGL168yGuvvcYjjzxCv3797nqWvnHjRho0aMDp06fDkimzMO5J42UE\n6yG9lluJqsJTTxnMmaOxdauPokVNTBPmzpX57TchaydJEtmyZQtxKt+yxaRPHwezZ3uZPt3Ld98l\n8OefJo8/nosPPsjOkSPioZ4/X+HIEZn//jc8FX/ECBWfD/bskfj1VxmPR2LLFnemBUvrJXS5BEHl\neth/FknCEnlIa1mUlJQUItN1s24LFivR4/EELKXuZhaSN6+Qv1u2TAlslHw+H23bKqxa5cAwUt0n\nbDaVl15y8/nnMklJSQFZv7x5/bRurTF0aPogMWqUj0OHJD75RGXJEoWBA+189134YAmih7hggULR\nomZIsLTO7ZtvVF54wUjXE9ywQaZ4cYP77wevV2TO5ctHcPq0RK1aOj17+tMFS4D4eFGaTft4rF+v\nUK2ajqqmupIES7ildSVJTEwMVFju9uIeDEvpyzCMEFeWm4UltBH8nlgbZauyZT0bXq/3qpKPuq6T\nnJwMEOJ+sn37dpo1a0a3bt14//33s8T1nDFjBs8///z/tWCZIe5lmKSaSJumyaVLl27IRDohQWfi\nRIPx4yOoWNGkXz+DSpWMgFns3r06LVrkYMiQJJ55Rij1WAIEx48rTJqkMmOGSoECQpP0iy+8NG2a\n3hx46VKZV191kCePwf79MvXq6SxY4COzqpFW5hZOHOFWcC1T6evp72SVrDIt5s5V+OYbmenTL4Sc\n2wsvCMWcTp1SS5zJyVCqVATr17vInz/1Wpw9a/DEE3n44YdESpSQQjLyU6cgLs6JxyPxww/pe5rB\n8PuhQgUnkyb5AnZa1nUzDDvlyuVg40YPBQuG/o133hEzuyVLmvTrZ6NkSZOPPvJRooTJgw9G8PPP\nHgoXTn/czp3tPPaYQefOoZu7N96wUaKEyeuvX33+0u/3B0qwllzbne79Xe3c0oqT3wlk1O4Izsot\nvkNa4fQpU6awePFiZsyYQcGCBe/I+f4/x72SbEYI1lu8ePHidQVMq/9oSeiBk6lTFUaMUHj4YYP3\n3vPh90u0a+dgwAAvzZolBcowaV8El0uhZs1IsmUzOX9e4tIlieLFDe67T2QOR45IHD4sJNYuX5aY\nONFLkyaZm1VqmnZHSmLh+juW83xaIlHwud2pObzrhZjf9fDwwznYvj2FfPlSd/M//igcTIKdQEAw\nTu12GDTIH/J3hg8XfcgpUxJCRnu2b7fTqlU0kmQydKiftm0zFvufPl1h/nyVpUu96UqJS5c6+PJL\nlR9+CD0f04SHHnKSN6+JpkkMHeqjdm3xXO3YIdGpk4OdOz3pjmWaULy4k5UrvSHKRgBlyzqZN89L\n6dLhl46rlTmvpQd7u3vkd2Pu81rnk9b6DsSGYtu2beTIkYNChQrx9ttvkydPHoYNGxYiF3gPt4R7\nc5gZIfgFtBbqq72UwV6VsbGxKIqCaZq88oqfdu28zJhho00bJ0lJEu+846FJkwQUxRboZwa/CG63\nj65doylVyseUKSmoqkJCgsrRoyqXL4t5toED7bzwgs7q1Qpr19782EhaBGduGakbZTYy0vy0FgWr\nbBu8schKM5+Q2uONilJ4+mmDb7910LVrakZVr55B9+4Su3eHaqm+9ppGjRpOevXyYxGxJUnijTcM\nKla0s21bDDVqiCCxY4dJmzZRjBt3iYIFdVq3vo/z53W6ddNRlNCsy+eDoUNtTJniCzAmFUUJ3NM5\ncxTatAnN+I4elejRw8aZMxL9+vlp104P8WNdtUqhbt3wAXrfPiHFV7Ro6HN49KiEyyVRqlTGpcS0\n5xaMq+nBWjOQaXt/aWeFbxbBnpp36l24FixNWFmWA9fNGmeJj4/nm2++4cyZM5QoUYKSJUuyfv16\nqlSpQvSdMrz9FyLrrEJZBFfrY1p9tKSkJBwOBzExMYFyklVCiYiQePVVnd9/d9G/fzKTJ9to2jQX\nK1ZEo+upvVJVVbHZnLz3Xg4uXLAzebIfRZGvCIUnU7LkZXLkcDN4sI2HHhK+iCtWZE6wtPpals3P\n3e4HprVusqy8rB1+UlISycnJuN3uTHedvxFYGUhwj7dtW42ZM0P3nYoiLLKmTQv9vEgRkyefFEIU\nwYiIgOHD/bz5ph2fT2L/fpWWLWMYM8ZPkyYOKlZ0snx5CrNn2+nQwcbJk0kh9mbTpwtx9EqVhOWb\nZf0kSRLnzom+YuPGIvj99ZcQ1njiCSc+H7z4okbHjqHBEmDlSoV69cIHzLVrFZ58Mn3bID5eplYt\nPd3nFiHKOrcbed6s3p/1bAT3/izrscTExFuy9fL7/QHbt+sRvbiTsL6jqqoB1ySbzUapUqXIly8f\nq1at4oMPPiA5OZkBAwbwySef3JbzmDt3LqVLlyY6OpqHHnqIDRs23JbjZHXcK8kSaiKdkJBAVFRU\nunKM9VJZwuyWPJb1ggYLEASrziiKg6VLVcaPF6LdbdvqNGumUaiQySuv2HG5JObO9RKklYBpmsye\nLfPWW04UxeTZZz0MHJhEtmzKLfd2smo/EMLbNkH40tTtcp3ICBlp5+o6lCnj5JtvvCEqUH//LVGt\nmpMDB9whGrA7d0o0b+5g715PiEiAxZAuUsRg8WKVQYP8tG4dGrDcblHW/eEHhf79PTRv7sbl0omL\ny8nkyZeoWFHD6XSGZF3jx6vs2CHz4osaX36psmaNwksvabzxhp/GjR18/LGfmjVDNyCXL0OJEhEc\nOxZ67haaNXPQtq3G88+Hnl/79nbq1tVD/DRvRK7wZnArZVxrA2S1I+52CTYYwSNnweVhr9dLnz59\ncLlcTJgwgUjLofw24qeffqJLly7MmzePRx99lFOnTgGQz5Kp+v+Jez3MjBAcMBMTE9PNHVoMz6io\nqBCvyrSydmkFCNIuDvv2SVc8EoXbRN68Jm3aaBQuLCTtXC6RAfz0k8zGjYJtOHSon/LljcD4xrX6\nfhkhK8wuZoSMZj6v9vO3SiS6kXMLtpQKp507aJCNy5dhxIjQecpmzRw0bqylm29s1MjB88+n/zw+\nXubZZx0MGODnnXcyJs389ptM7942Tp6UKFZMx+02mD8/ichI+YoAh0ZCgsLOnQ7efDMGSYJs2aBz\nZ43//EcjWzbh7Vm1qvD2TPsoLFoknEbSOpCAsBUrUiSCfftCvTF1XXz+668e8ucXy8bdmq1MG0DD\njTpZ1aK0m7OsgIyE0//55x+6dOlC27Zt6dy58x0752rVqvHyyy/TqVOnO3K8LIJ7ATMjBAdMq9xq\nt9sDZSSrXHi1rPJGzJNNEw4elNiyRWb3bplTpySSkyWiokzy5TOpUMGgalWdq6lIhWPUhdtVB2e8\nWT2rvNbMZ0a4ESLRjSDYePpqIzaWg8mBA6HScitXygwYYGfjxlDBgvXrZbp2tbNjR6pm7L59Es89\n56BOHZ3ff1eIj/ekk6lL+53XrPHRqlV2ChY0+PtvmagocDpNLl2SUFUoVkzj0CGFBQsuUq6chs2W\n+nxMmGDn998VJk5Mr+7zyit2KlQwQvqyFtaskRk0yMaaNaHBdOtWmVdftbN1qyfLuXhkRJ6xWgF3\ni40bDuGswkzT5KeffuLjjz/miy++uKPelZbk5MCBA/nqq6/wer00btyYESNGBEaE/p/iXsC8Grxe\nsQAkJyejKErg5bL6BsFZZXD5L6vYXGW0q7ay4KywcAXjdi+qt2LndTN6pg0bOnjppdAypWEINZwv\nvvARFxda9nzmGQctWoj+4a5dEs2aORg82E+rVjqtW9spXtxk8OD0/pOQuqiOHBnLyZM2Jk3y4/MJ\nuze3WyJHDlGx6NnTRo4c0KePL53ARJMm2enWzUPDhnrIBsswoGjRCOLjUwXkg9G7t43YWJPevUOD\n6dChKpcvS3z8sTfLunikZYQHX5M7ycbN6NzCCadrmsaQIUPYv38/kydPDnE/uhM4deoU+fPnp3Ll\nyixduhRVVWnUqBG1a9fmo48+uqPncodxT7jgWrCCopXxZMuWDVVVAwEoOFhaZcRgksXdXByCyRFR\nUVE4nc4Ao9Bi2WUF4gykDl7ruh4g+WQ2golEMTExxMbGphuaD3c9rKzS6/USFRV13Rq1HTtqTJkS\nWtuUZejSReOLL9KXv99/38/QoTZ+/lmmcWMnI0aInqUkwfjxPubPV1iyJK2BeSrpKDExkilTIujX\nTwQuux1y5xbG0TExonQ6b57Kf/4j9FyDr4fLFcO+fXbq1Uv9m9b12LDBT65cBoUKhSf8/PSTEmJr\nZmHVKoVatXwkJydjs9kCff6sguBh/5iYGGw2WzpRBavdEnw97sT7YpWH/X5/yPtw9uxZWrZsSY4c\nOViwYMEdD5YgNtoA3bt3J0+ePNx333306NGD5cuX3/FzyQrIOo2suwzDMAKLuBUA02aV1gIQXEbM\naiMPwSSLYBWQG7Xyuh24m16a12NtZm2EVFW94Q1Q48Y6775rZ/9+KUQZ5z//0RgyJIITJ6RAbw+g\nShUhmN68uYOZM73Ur5+6IOfKBXPn+mja1EHhwh7KlzdDxh6io6Pp29fBf/6jhRUVAOFsUr68Efb/\nv/9epV49nZgYGxB6PVautFG3rpekpKR0PpDHj4vee1rvy4sXTXbvlqhUKTlLzC8GI7hacLVnztpY\nXsv6Lpzd260gnHA6wKZNm3jvvfcYPnw4tWrVuqVj3AqyZ89OgQIFQj7LCqXru4Ws82TfRZimSVJS\nUqCfYb0saUk9N0pOuZO4liekNcpiLWbBYtnBjiRpDZQz6+W4W/6GGSH4elg7fF3XA1lGSkoKcP1E\nIocDOnTQ+OorleHDU0up2bJB27Ya48apIVZeM2cqHD0qY7MJib20qFTJYNQoH61aOVi6NJk8eVyB\n8vC+fTJLlqjs2OHO8PtNnaryyivhifCf/SAAACAASURBVEOLFikhzinB12PFCgdjx/qIjY1N5wP5\n3XcRPPmkjN/vDfSFDcNg2TKduDgbuXNHZ6nFNFhvNSoq6oYYuuHel+Dr8b/tnXd4U3X7h+/stJSy\npAzZo9CWDWV0CEXcIK9eOOBV/BXZVEAUFQUULLyiOAArQ9kgKIIogjLUpqUFCtKyZ0FAZI8umn1+\nf8TEpE1LgaYJ9HtfFxdtaHKeHpLznGd9HoPB4KiT304at6Ajd547/eKLL9iyZQvr1q2jpl3g14vE\nxsYya9YsHnnkEZRKJZ9++im9evXytlleQdQw/8FoNDocor15x37XCb49jlEarfvOF4SCqiJ30nnq\nzaiyJNjrgQUlAW+nkcg+SnL4sE2Q3c5ff9mEyvfty6dyZZg2TcnixUrWrDGQkKDC31/iww8L1yut\nViuffy6RkODPzz/n06iR7b3Yu7eGhx+2MGKEe4d49KiMRx6xrRkrKPxy4QK0betHZmbhkZGTJ2XE\nxGjJzMx3mcvMyYELF2QMHqyme3cjXbsaCQw0Ub26mQoVJEaPrkLHjhJDh1p95v/WWSTBU12wJenG\ndXdjWJRwelZWFnFxcQQHB/P+++/7TKRuNpsZNWoUX3/9NX5+fjz33HNMmzbtXlcVEk0/xWFPu9jv\nHv/dNGG7i5YkySejSnujQGnvhJQk6Y5HWZzTiN5siHLH7WQLCi6UdtdI9OyzGp54wsL//Z9rDXDw\nYNuMZWamnKNHZXz7rYFateDiRejQwY/Nm/UuqVznG7TFiwP47DMVK1caOH9exrhxatLS/u2wLcgb\nb6jw84NJkwo74XnzlGzbJmfhwsLdsbNmKdm3T87TT5vZvl3Bzp1yDh+WkZ0to3p1iTNnZLRtaxMs\nuHwZLlyQU62alevX5fz22xXq1DH5xCJl5zGgsryoFzUvXHCcxd2s8b59+xg5ciTjx4+nZ8+ePnPj\nUY4RDrMorFYrb731FuHh4URERFC5cmWsVisbN26kc+fOji5Z8L4wtLPN9m5EdzOfnjpmSUdZbja7\n6E1Kq7PZ3WqzrVu1TJhQke3bbTKH9tdOSpLRq5eWxx+3MH++Eed585kzlfz8s4INGwyAez3TNWsU\njB6tRqGQmDvX6FLzdObGDWje3I/kZPei6Q89pGH0aDNPPGH553eAI0dkrF+vYPp0FQaDrb4aGWml\nQwcLLVpI1K4tsX69gtmzlfz4Y55jtlKt1vLDDwomTVKzZ4/e7SJlu9ydJ9L8BSkqcvMW7rI2kiQh\nl8v5+++/uXTpEu3atWPNmjUsW7aMRYsW0ahRI6/aLHAgtGSL4/HHHycxMZF58+Zx9epVTCYTFouF\nhQsXEhYWBuAScdlTuM7Lk8vCgTo7o7LepmDvtLRTlM6nfUb1VutGnqa008PuGokeftjC5Mnwyy/Q\ntautcSYtTcOQIYE0aWKlY0cLBcVZhg838913CubPl/Pcc1lu67xPP21h61Yzy5crmTNHRdOmRho2\nLOwQV61SEB7uvtnn9GkZR47I6d7dwvbtcn76ScFPPynIz4eYGAsWCxw/nk/VqoV/1/Xr5TzyiK1D\n1zki37PnX9k957qfXfO0YB0UuOP5WHfYG/GUSiUBAb5RS7XfLMjlcvR6vSPTIkkSx44dY8qUKRw7\ndozAwED69evH/v37CQwM5L777vO26YIiEBGmExaLhZkzZzJlyhSeeeYZateuTWpqKtevX6d169ZE\nRkYSFRVFUFCQY62Ou4irtC8GzvYVpyTkTezOyGAwOOzy9DLpW8H53Hl6BOjrrxUsW6Zk3To9n32m\nZNYsFTNn5lCrlok+faqwc+d1KlWSu3QmZ2SYefLJiiQl5dCgQeEZ0T//lPHAA1p++03P2rUKPvtM\nRY8eFgYPNtOpkxWFwhYtdumiJT7eWGj048wZGW+/rWLPHjlZWTKCgiR69rTw5JNm2rSRmD9fSUqK\n+1StyWSlcWN/Nm68RrNmGpdz16GDloQE14XVxXEn87Hu8GYKtiTYM0EymcylES8zM5Nhw4YRGxtL\ngwYNSElJISUlhbNnz7J///5St6Nbt27s2LHDkS2rU6cOhw4dKvXj3EOIlOzNOHnyJMOHD2fmzJk0\nbdrU8bjJZOKPP/5Ap9ORnJzM5cuXCQsLIzIykujoaGrXru1woAVrXKUxDO3NqLIkFJUeLokGbFmM\nstyqCMGdYjRCSIiWevUk5HJYtMhI3bq2mnBsrJrgYDOjR+e5zPYCfP55JZKT1fz0k8Gl6UaS4D//\n0fDAAxZee83W6JOVBYsWKfn6ayV//y2jUycrWq1EcrKCMWNM6PW2Rp3MTDn798swm2UYDLZ50WHD\nCo+jPPGEhiFDzDz5pGvt1Wg08ttvFt57rxLbthlczt2JEzK6dy/cJHQruEtrl/Q9Yu9utvcX+NIN\nJLjfqylJEuvWrWPmzJnMmzePFi1auDznZpuSbpeYmBj69+9f3uTt7gThMEsLi8XCnj17SExMJCkp\niXPnztGsWTOHA61fv36RDtQ5hVsSB+rrUeWtOPKyrnF5Wvi7OD78UMnatQqSkgwuWq3Hjsno0UPL\n7t35BAaaHB26crkcg8HMc89VpmNHM++8Y3Ccl5UrlcyYoSI52X2jz99/y9i1S87kySpq1JBo0cKK\nVgs1akg0aGD7/soVeOEFDfv26Snofy5ehDZt/Dh+PN+RLnauB777bhVq1oQ33nDtyv3sMyXHj8v5\n/PPCUent4u49AoV7B+x1aF/sWi9KON1kMvHuu+9y8eJF5s6dS0XnjQseJiYmhhdffJEBAwaU2THv\ncoTD9BRWq5X9+/ej0+lISkri1KlTNGnShKioKCIjI2ncuLGjtufcdWpPWbpLR92qPm1ZUxpNR54a\nZYF/7+5Lu3u4pOTmQosWfmzYoC+0TPnVV1WYzWamTs0uJIR//rxEVJQfn32WR7du+Zw7J9GjR3VW\nrsymQwdZkWnt48dlPPiglkOH8gvVSOFfmbx33incOTt3rpIdO+QsWGBzfM4jGRqNH82a+bF+vcGl\nixege3cNb71lKrIBqTQoON5jb5wBHGo9ZS1jVxzOKVjnhrJz584xaNAgnn76aYYPH17mpYmYmBgO\nHjyIJEk0a9aM+Ph4unbtWqY23GUIh1lWWK1Wjhw5QmJiIjqdjhMnTlC/fn2ioqKIioqiWbNmLg7U\n+W7afkG0R1/eltwrSEGBBF8bZXGOjLy9leXjj5Xs3Stn8eJ/IzCz2czZs3oeeOA+1q/XUyAjB8D2\n7XKee07D99/rmTpVRViYhXHj8tyOKthvskaPVlO1Krz7bmGHaDBAcLBNH9Zdo9BDD2kYM8bEo49a\nCtUDt22T88orNlF1Z86dkxEebtt2UlZlQ+eMgVqtdjjS4m48y5KihNN1Oh3vvfceM2fOpHPnzmVu\nF8DOnTsJDQ1FrVazYsUK4uLi2LNnDw0bNvSKPXcBwmF6C6vVyokTJxwO9OjRo9SuXduRwg0NDUWh\nUKDX60lPTyc0NBS5XI7VanXUc7zdNGP/Pco6xVnSURbw3jqposjNhbAwP375RU/z5lYXsfn58/1Y\nt07BTz8ZCi1cBvjxRwVDhqi4/35ITdU7nJK7qPziRTldu97Hjh3Z1KpVOK29erWCBQuUrF9feF3X\n6dMyoqK0HD2ah8VSeKXUa6+pqF5d4q23XNOxX3yhZPduOV99VXrp2OIo7v/WuVZ+q3XQ0qAo4XSL\nxcLHH3/MH3/8wcKFC32q+/Wxxx6jZ8+ejBgxwtum+CpirMRbyOVymjRpQpMmTRg4cCCSJHHq1Cl0\nOh1z587l4MGDqNVqzp8/T926dVm1ahVarbZY/deydKA3k93zJCUZZbEPhNtXEflKp2RAAIwaZWLS\nJBVffXX1n8ds4yIDB5pZvFjJ118r+O9/CwudN25sxWqVcemSxJEjMlq2tN272mu+zo1V06YpeeYZ\nE1Wrmrlxw1CoW3vRIg0vveReFWjFCgVPPWXEaMwtlDEwm2HNGiVbtugLPW/1agVjx7rfplKalGSr\nza3IPnpiX6q98ch5FOjKlSsMGzaMTp06sXbtWp/qPQAc0a/g1hARppcxGAxMnjyZuXPn0rdvX/R6\nPfv376dy5cqOMZa2bds62sGdGyLKouvUm40zJcFeq3Re4u0royySJJGdbSI8vCLz5t2ga1fXi3RG\nhozevbVs356P8/L6nBzo1k3LqFEm/P3h9dfVLFxoICamcK3w8mWb1F1qqp66dW0fV+ebimPHJHr2\nrMLu3VcICHBNWVqtEq1ba5k16zpRUapC6etff5Xz3nsqkpNdI1N7VHr8uGfTsUUtUr5V3MkclkYH\ne1FR765du3j99deZMmUKPXr08HqmIysrix07dtC1a9d/mshWMnToUNLT02nSpIlXbfNhRITpi/zw\nww8cOHCAffv2Ueufq6YkSVy8eBGdTseqVat4++23qVChAhEREURFRdGhQwcqVKjgkp6z30k7d53e\nqQM1Go1eiSpLQkERAntU6QtbWex25OfnI5dbeO89DRMn+pOY6Jp+bdNGIjbWzOjRalauNCKT2XZo\nDhumpnNnK/372yLP++4z8PLLamJjLbz1lsml63bmTBVPP212OEtw3byxYoWK/v0tVKqkwWKxYDAY\nHCpHaWlK5HINkZGFnSXA8uVK+vYtHP2uWqWgVy+LR52lu3rg7eIclTuLnLvLVJTkRquoFKzVamX+\n/Pn8+OOPrFmzptCWD29hMpkYP348R44cQaFQ0Lx5c3744QfhLG8DEWF6Gfv5v1kjy9WrV0lKSkKn\n07Fr1y40Gg2dO3cmKiqKjh07otVqgcI1P7j1DSRWq9VxEfF244w7bkWj1htybQUjD0mS8cADGuLi\nzDz/vKsD0utt0eSAAWYGDzYTH69iyxY5v/xi4J//UgDOnYPBgzWcPy/jww+NxMRYOX8ewsNdo0tn\nbtyAkBDXZh/7xV6v1zNmTBWCg80MHZpTqJEoJ0dGSIg/e/bkU7268/mE8HAtM2YYiYws/e7YokYy\nPE1JZobt7xF38nu5ubmMHDmS2rVrM23aNJ/SnBbcFqLp515BkiSysrLYunUriYmJpKWloVAoCA8P\nJzo6mk6dOlHhn3UZBVvyofhaji9vZSkNAQdPjrIUV29LS5PTt6+t27TgHmD7SMigQSa+/lrJ77/r\nqVHD3evbmoHeecfWiBMQAE2bWvnkE/e1xK++UrJpk5xvvzU67MvPz8dstnDmTAViYirw3ntGsrJk\nnDtnm8fMybE52osX5WRny+nc2UyNGlC/PjRvLqFSSbz2mpr9+/Vum5XuBOdRJW93hxf1PrFrwdrT\nxEqlkkOHDhEXF8eYMWPo06ePT31mBLeNcJj3KpIkkZubS2pqKomJiWzfvh2LxUKHDh2IioqiS5cu\nBAYGOn7W7jztFwF7KsoeifnaEmBwrWeVpoBDaYyyQMkE3UePVmE2y9wO+o8bpyIhQckvv+iJiCj+\nY2c2w/z5St58U4Vabdud2aqVlebNrVSrBhUrSpjNMGKEmr59zVStCmfOSJw8KXH6tJJTpxTI5aBW\nSzz0kJW6dSVq1ZKoXl0iMFBCq5UYOVLNs88aadzYxPnzcOqUnGPHVKSlqRg2zMTEieZSdQzenpu9\nGQaDAb1e77gJWrhwIe+//z5hYWGcPXuW+Ph4+vTpg7+7IVjB3YhwmOUFe+fejh07SExMJDU1Fb1e\nT7t27YiKiiIiIoIqVao41IhOnTpFVSfFbU/q4d4OzrXUsriY3sooy61EvVlZ0L69loULjURH/5vO\nXLvWtonkySfN/PGHgl9+0XMzEZg+fTRERVkYONBMaqqcAwfkHDsm5+pVyM6WceUKnD4t57HHLFSt\naqZGDSMNGyoIDpZTv77EAw9omT3bSERE4bRqerqMvn01HDigd0jeWa1WcnIshIVVZPPmK9SubS6V\n2UdvpWBLin0NnNlsdknB6vV63n77ba5du0atWrXYsWMHe/fupXPnzmzZssVj79Fjx47RqlUrnnnm\nGZYsWeKRYwgA4TDLN3q9nh07dqDT6UhJSSEnJ4eQkBAuXLjAgQMH2LZtG4GBgbfkLDyNcy3Vmx26\nxS0KtivPlHQzy88/yxkzRk1qqi01u2CBgilTVKxebaB1a4m4ODV//mnbl+m8hLrga7z5ppqdO/Vo\nNIX/XZKga1cNr75q5KGHcgDXFOfGjXImTVKTkuI+rTpihJq6da2FZi+XL1ewerVt8XVxGrAl7U4u\nShXHV7BareTl5RXaXfnnn38ydOhQXnrpJQYMGOB4/MaNGxw7dozWrVt7zKZHHnkEvV5P/fr1hcP0\nLMJhOnPt2jUGDBjA5s2bqV69OlOnTqVv377eNqvM2LBhAwMGDCA4OJhKlSpx6dIlWrZs6RBTqFmz\nZqnp4d4Ovl5LtW9msc+z3cooy5gxKi5elFGzpsSWLQpWrzbQuLHto2Y227pkT56UsXq1gUqVXJ+b\nl2drupk1y8iDD7pvutm8Wc6bb6r47bdLaLWFo/LHHtPw4otm+vUr3AF76ZJNVzY9PZ+gINd/69ZN\nw+uvm+nZs/Dzihp5Kqq5yp0wuS9RlHD6pk2b+OCDD5gzZw5t27YtU5tWrlzJ2rVrCQ0N5fjx48Jh\nehbhMJ2xO8cFCxawe/dunnjiCbZt20ZISIiXLfM8aWlp9OnTh/nz5/PQQw8Bts7O9PR0x0aWCxcu\nEBIS4pgFrVu3ruOiUZQebmk4UHsKrOACZV/BnX23upUlP9+2FqtiRfj558JNQFYrvPGGCp1Owddf\nG2ja9N+P4euvq7h6VebQfS2I1SoRHa1h2LBcnn9eXuj87dwpp39/NXv3uhdy/+ADJadPy/niC9fX\nT0uTExtre15JAv2immbsIhP2rIGvdZMW9f4zm81MmTKFzMxMvvrqKypXrlymdmVnZxMeHs7vv//O\nl19+SWZmpnCYnkU4TDs3btygSpUqHDx4kMaNGwPw0ksvcf/99zN16lQvW+d57DXOCkXl/LA1sezb\nt8+xkeWvv/4iODjYoYfboEGDYvVwb6e2ZV8CXDAF5is4i5IXZ19JRllOnlTw0EN+zJ9voHv3wpGi\nJNkae95/X8UHHxh5/nkLSUlyXn5ZTVqa3u2SZ4vFwqpVFj79tAKpqUYUisL29emjoUcPC0OHFlb+\nsQvG//yznpAQ149+//5qOna0EhfnXjHoZtjPib0L1p698Fa63x1FpYgvXLjAkCFDeOSRR3j11Ve9\nkjoePXo0derU4fXXX2fSpEnCYXoeIVxg5+jRo6hUKoezBGjdujU6nc6LVpUdMpmsWGcJtkigTZs2\ntGnThtGjR2O1Wjl06BCJiYlMnjyZP//8k4YNGzocaNOmTQvJ+dmH5G+WriyJ/Jk3udUlxc5SbRqN\nxiXasg/KBwXBvHkmYmMrsn59PmFhrrO4MhkMHGimfXsLQ4dqmD9fSWamnHnzDIWcpV26MCtLz/vv\nV2fWLPfOMi3Nthtz+XL3Tu+rr5RER1sKOctjx2TodIo7WuNlvxlyTnEWJR7gDRH1ooQSUlJSeOed\nd/j444+Jjo4uE1sKkpGRwZYtW8jIyPDK8QX/Ui4dZm5urmPMwk5gYCA5OTlessj3kcvlhIWFERYW\nxogRI7BarRw7dgydTsf06dM5fvw4devWdaRwQ0JCSqSHC7aGJLlc7qLF6Ss4zwbern3u9F8lSaJr\nVzPx8Xk8+aQ/33xzldDQf+dB7dFW27YSiYl6OnbUkpsLc+eqkCQTMTFWVCrX7SwLF1YhNFSie/fC\niSFJggkTVLz1lslto1B2NsyYoeLHHwvrxn78sYohQ0wU+MiUiOJS7M6KRPaftUfkzopEntROLqpL\n12q1MmvWLHQ6HevWraOGu8HYMkKn03Hq1Cnq1avnGCGzWCwcPHiQXbt2ec2u8ki5dJgBAQFkZ2e7\nPJaVlVWmC13vduRyOc2aNaNZs2YMHjwYSZI4efIkiYmJfP755xw+fJiaNWs6ItAWLVq4OFCTyeSS\nnpPJZJjN5jKTrisJnpoNtP++arWaF18EpdLM889X45tv8ggLM2I0Gh3pSrlcwauvBhAcbGXbNiPf\nfKPkf/9T8fLLch54wEybNvm0bKlGrVYxa5aapCRXhydJNjWhlSsVXL4sIzzcyp49MkwmGZIEcjn4\n+Ul89ZWS7t0tDpF3O0ePytiwQUFGxq1Hl86zqRUrVrzp+ZPJZKhUKhcHak9tG43GUldpcp7tdb4Z\nun79OnFxcYSGhvLTTz95vY4+ZMgQl4bEjz76iFOnTjFnzhwvWlU+Kbc1zKpVq3LgwAFHWrZ///7U\nqVOnXNQwywJJkjhz5gw6nQ6dTsf+/fupVq0akZGRNGvWjE8++YRevXoxfPhwh7N0V+/zhgP1xk7N\ntWsVjBql5rPPjDz1lOWfFK6FcePU7Nih5NtvrxAY+G8j0alTVhITZezZ48fRo0rS0uRIkq1hSK22\nOUKTyfZHrbb9Xa2aRJUqoNGASiU5tGuzs2WcPClDoQB/f2jUyEpwsETbtlY2bVIQE2NhzJhbq13a\nZ2dLswu2NFWaikrB7tmzh9GjRzNx4kQef/xxn6ujA6KGWTaIph9n+vXrh0wm48svv2T37t306tWL\n1NRUj3XJJiQksGjRIvbt20e/fv1YsGCBR47jq0iSxN9//018fDyLFy8mOjoamUxGREQEkZGRtG/f\nHrVaXexF0VPar854s/EoI8MmGPDIIxbGjzcxYYKagwdlfP+9gSpV/u1ONhpt0Z49XfnhhxXYuVPJ\njz8asVjAaLRFlkqlzVmOGKFGpZKYObOwhJ4kQc+eGh5+2MLIkWauXoXMTDmHD8tYt05BWpqCw4fz\n8fMr2e/gfLPh6dlZdypNN2skKko4XZIkli5dyooVK1i8eDENGjTwmN2CuwLR9ONMQkICAwYMICgo\niPvuu485c+Z4dKTk/vvvZ8KECWzcuJH8/HyPHcdXkclkvPvuu6SlpbFt2zZatWrF5cuX0el0rF27\nlokTJ+Ln50eXLl2IiooiPDwcf3//QquZPLXb0Bcaj9q0kdi2Tc+4cWpat9bSsKHETz8ZsE0w/Du/\naI/arFYr338vY/lyFT/9dJm8PNt5Uan+PS8rVyrYulVOSkrh2iTA558ryc2FESPMyGRQrRpUq2al\nZUuYPl3FnDmGEjtL5y7igIAAj99sOKe2b7aFxH4+7DcbzinYGzduMGbMGAIDA9m0aRMad0VegYBy\nHGF6iwkTJnD27NlyF2ECpKenExoa6vaCJEkS169fd2xk2blzJyqVio4dOxIdHU3Hjh0dOp1F6eE6\np3Bv5WJ9K9tPyorffpMTH68iK0vGwIEmevfOIyDAtTHlt9/kxMZqWLtWT5s21kKjLH/8oeallyqz\ndm0urVvLCp2X5GQ5L7ygQafT06CB60f9lVdU5ObKWLiwZLVLewpWq9WiUql8JpVpf6+YTCZMJluE\nLZfLWbJkCdWrV6du3bpMmDCBuLg4+vbt6zN2C7yOiDAF3qU4ZRSZTEaVKlXo3bs3vXv3/mf5crZD\nUP6jjz4CIDw8nMjISLp06eKIYpxHNoxGY4nF0+3jGKVdaysNune3EhNj4PffYcECGZMmVaZ1a4mY\nGAtt2lg5cULOtGkqvv7aQNu2EuA6ypKaKiM2VsMXX+TRvLmRvDzXel96upoXXtCwZImhkLNcskRB\nYqKiyKjUGecUbEnlAcsSZ7ENe+bALrC/cOFC0tLSqF69Ops3b0av1/Pggw9Sv359j9jy4osvsmXL\nFvLz86lZsyZjx47l5Zdf9sixBJ5BRJhlTHmOMO8ESZLIy8tj27ZtJCYmsm3bNkwmE+3bt3cIyleq\nVMnFgRanh2u/0FutVq/q1BZFwdlPg0FFSoqC5GQF+/bJ2bVLRl6ejEqVbNtJ/PxsNUu5HCwWyMyU\ncd99kkOPViazbSfRaiX8/Kzs2KGkRw8DMTFmmjeXaNECqlZV8P33Sl57Tc3GjXqCg4v/+JdUyMFb\nFFVPNRqNTJw4katXr5KQkMCZM2dITk4mOTmZ9u3b89prr3nEnoMHD9KoUSO0Wi1Hjx6la9eubNiw\nocwl9gQlQjT9+ALCYZYe+fn5jo0sKSkp5OXl0a5dOyIjI4mMjKRatWpF6uGCLY2r0WjKdEC+JNjH\nHW7mzC0WuHIFcnNl5OXZvrePikgSqFS2r+0/azJBXp6M7GwZZ87YnnvyJBw5IufQIQVBQRasVjmL\nF+fSrp2sRJF5SYQcvEFRzvzs2bMMHjyYPn36MGzYMK+l348cOUJMTAwzZ86kT58+XrFBUCwiJSu4\nt/Dz86Nbt25069YNsO0s3LlzJzqdjiVLlpCVlUWrVq2IiIggKiqKSpUqOfYWtmzZ0tHoY7+welpQ\nviTYxx1UKhX+/v7F2qFQQFAQBAXdyn2tu5+1YDabOHpUol49MwqFGb3eVSfY/jfg0ylYKFo4/fff\nf2fy5MnMmjWLTp06ecW2ESNGsGjRIvLz82nXrh2PP/64V+wQ3B7CYZYR9mF9Z9k4+4VIUDpoNBqH\nUALYLpx//PEHOp2O2NhYDhw4QPPmzQkJCaF27drUrl3bpcZlsVi8JtHm7S5dpRJCQ2WA6p8/7pV3\nwNY044tLnp1VhZyducVi4aOPPiIjI4Off/6ZatWqec3GhIQEPv/8c0dpQXTk3l14vx2wnBAfH4+/\nvz/Tpk1j+fLl+Pv7M2XKFI8dz2g0MnDgQBo0aEClSpVo164dv/zyi8eO54uoVCo6deqEv78/Bw8e\n5H//+x8zZsxAr9czduxYYmJiGDp0KMuWLePs2bNoNBoCAgIIDAxEq9UCtqg1Ozub3Nxc8vPzMZlM\njpRuaWHfu2ixWAgICPAZLV278o5Go3HYpFarUalUmEwmcnJyyMnJIT8/36FO5C3s59BqtVKxYkWH\ns7x8+TLPPfccWq2W77//3qvO0o59/vjMmTPMnj3b2+YIbgFRw7xHuXHjBtOnTyc2Npa6deuyfv16\n+vbty/79+6lXr563zSszJEli5yzp9AAADXZJREFU3LhxvPzyyzRt2tTl36xWKwcOHHBsZDl9+jSN\nGzd26OE2btzYsZGlqPVdd6px6glFnNLEvtnGXT21JFtZPCkyYaeo3ZppaWmMHTuWDz74gO7du/vc\nuR00aBABAQF8+umn3jZFUBjR9FPead26Ne+99x5PPfWUt03xSaxWK0eOHHE40BMnTlCvXj1HmrdZ\ns2YuDrTgsuSi9l+6wxvye7eKcz21JEu8S1O6riQUJ5z+5Zdfsn79ehYvXsz9999fKse7Ey5dusRv\nv/1Gz5498fPzY/PmzfTp04eVK1fyxBNPeNs8QWGEwyzPXLhwgYYNG5KRkUFwcLC3zbkrsFqtnDhx\ngsTERHQ6HUePHqV27dpERkYSHR1NaGioY0TFeRb0Znq4d8M4hjv5uNt5nYLSdSWdkb0Zzltk/P39\nHec3JyeHV155hfr16zN16lSfSW9fvnyZPn36sHfvXqxWK/Xr12fUqFEMGDDA26YJ3CMcZnnFbDbz\n2GOP0bRpU7744gtvm3PXIkkSp06dcgjKHzx4kOrVqztSuK1atUKpVBYbadkdiFar9cmGD+cNHs6O\nqDRf/2YzsjdzoEUJpx88eJC4uDjeeOMNnnrqKZ+7ERHcVQiHWR6RJIm+ffuSm5vLDz/8ILpySxFJ\nkjh79iw6nY6kpCT27t1L5cqVHQ60TZs2DkH5S5cuYTAYqFSpkuP5nkpV3i63moItDZxnZO1p7qI6\nlIsTTl+5ciULFy5k0aJFNGnSxON2C+55hMMsjwwYMIDTp0+zYcMGnxwwv5eQJImLFy86ItD09HQq\nVKhAgwYNWLduHWPHjmXo0KEAhcQU4M70cO/Ubm8Lzzvb4hyB2h2oQqFwnKcKFSo4Il+9Xs+bb74J\nwMyZM/ErqVK8QFA8wmGWN4YOHcrevXvZsmWLQ7i8LBCamTYMBgNjx45l+fLl/Oc//+HIkSOo1Wo6\nd+7sEJS3R3IFa6ClVeu7GZ5Owd4pzqpC9u+XLVvGoUOHaNmyJStWrGDYsGH83//9n9cjdME9hXCY\n5YnTp0/ToEEDtFqtIw0rk8mYO3euy/Z2TyA0M23ExcVx8uRJFi1aRPXq1ZEkiaysLLZu3YpOpyMt\nLQ25XE54eDjR0dF06tSJChUqlFgP904dRFG1QF/BXQpWkiQOHjzI0qVL+fXXX/n777+pWrUqDzzw\nAN27d+fFF18sdTuMRiPDhw9ny5YtXLt2jcaNGzN16lQeffTRUj+WwGcQ0njliXr16nltkDw0NNTx\ntSRJyGQyMjMzy53DnDJlCoGBgQ5HJJPJqFy5Mj179qRnz55IkkRubq5jI8snn3yCxWKhQ4cOREVF\n0aVLF8fznVO4dp3Z25Xz86UUbFEUtQXFYrHw7bffcu7cOVJTU6lYsSKHDh0iKSmJw4cPe8QWs9lM\nvXr1SE5Odsw0P/vss+VuplkgIkyBhyiomZmUlFSmaeG7EbuT2L59O4mJiaSmpqLX62nbti1RUVFE\nRkZSpUoVFzk/d80yxTnQosYxfImixm7Onz/PkCFDeOKJJxg5cqRXbRczzfc8IiUrKFskSXJoZr75\n5puiQ/c20Ov1pKWlodPp2Lp1Kzk5ObRp08axkaV69eqF9HCdm2Wc07j26NRXU7DguojauUktOTmZ\n8ePH8+mnnzq0gr2FmGkuFwiHKfAOw4YNIywsjLi4OG+bctdjMpkcG1m2bt3K1atXadGihUNMoWbN\nmg4H6tyFa7FYANsoi1qt9rmVZnbhdLPZ7CLBZ7VamTFjBikpKSxatIigoCCv2ilmmssNooYp8A5m\ns5nMzExvm3FPoFKpiIiIICIiArCd2/T0dHQ6HWPGjOH8+fOEhIQ4HCjAmDFjmD59OrVr18ZqtWI0\nGrlx40ap6eHeKfY0sUwmIyAgwOHIr127xogRI2jdujXr1q3zeoZCkiReeOEFNBoNs2bN8qotAu8g\nIkxBqeJtzcxjx47RqlUrnnnmGZYsWeLx4/kaFouF/fv3k5iYyDfffMO+fft4+OGHefDBB4mOjqZh\nw4alpodbGhQlnJ6ens6rr77KpEmTePTRR30iGhYzzeUKEWEKPI9MJmP27NkMGzbMoZk5Y8aMMhOY\njouLo2PHjmVyLF9EoVAQGhrKsmXL+Ouvv1i/fj3VqlUjMTGR+Ph4/vzzTxo0aOAQlG/atCkajcZF\nzs8+91icHu6dUpxw+uLFi1m1ahWrVq2ifv36pXbMO2Ho0KEcPnyYLVu2CGdZjhEOU1Cq3HfffSQm\nJnrl2CtXrqRKlSqEhoZy/Phxr9jgKyiVStLT0x37H8PCwhgxYgRWq5Xjx4+TmJjI9OnTOXbsGHXr\n1nWkcENCQop0oPbXvdPVXQVTsHZHnJeXx6uvvkrVqlXZtGmTzzim06dPM2/ePLRaLTVq1ADKbqZZ\n4FuIlKzgniA7O5vw8HB+//13vvzySzIzM8tlSvZWkSSJkydPOuT8Dh8+TI0aNRxjLC1btiy0keVO\nVncVJZZw5MgRRowYwahRo3j22Wd9IgUrKNeIlKzg3mXixIkMGjSI2rVre9uUuwqZTEajRo1o1KgR\nsbGxSJLEX3/9RWJiIgsXLmT//v1UrVrVISjfunVrlwjU7jwNBgNQtB5uUSlYSZJYs2YNs2fPZv78\n+YSEhHjtXAgEN0NEmIK7noyMDF544QUyMjJQKpVMmjRJRJilhCRJnD9/3hGBZmRkEBgYSEREBFFR\nUbRv396ROi1KD9cunC5JkotwutFoZPz48WRlZTF79mwCAgK8+asKBM6IOUzBvcmMGTMYP348FStW\ndMjNWSwWQkND2bVrl7fNu6eQJIkrV644HOju3bvRarV06dKFyMhIh6A82Bzo+fPnHfq4kiSxZMkS\n8vLyaNmyJbNmzeK///0vgwYN8knFIUG5RjhMwb2JXq8nOzvb8f1HH33EqVOnmDNnDlWrVvWiZfc+\nkiRx/fp1kpKSSEpKYufOnSiVSsLDwzGZTCxdupSUlBTq1KmD1Wrl119/5ZtvvkGn03H9+nW6dOlC\n165defDBBx2zpaVNQkICixYtYt++ffTr148FCxZ45DiCewpRwxTcm2i1WkdUAxAQEIBWqy0zZ9mt\nWzd27Njh2KZRp04dDh06VCbH9jYymYwqVarQu3dvevfu7Viq3bdvX06cOEF4eDiDBg0iPDyciIgI\ntm3bRn5+Pvv27UMmkzk2tyxbtsxjDvP+++9nwoQJbNy4kfz8fI8cQ1A+EBGmQHCHxMTE0L9/f2Jj\nY71titcxGAy0a9eOyMhIZsyYgVar5caNG2zbto3vvvuOnJwcli5d6pUU7IQJEzh79qyIMAUlQUSY\nAoGnuMmNZ7lBo9Hw7bffEhYW5nisQoUK9OjRgx49enjRMoHgzhGVdoGgFBg3bhxBQUFER0ej0+m8\nbY5XcXaWAsG9hHCYAsEd8uGHH3LixAnOnj3LoEGD6NWrFydPnvS2WQKBoJQRDlMguEPCw8OpUKEC\nKpWK/v37ExkZyYYNG7xtlkAgKGWEwxQIShn7zKHAN7BYLOj1ehdVIvt+UIHgVhAOUyC4A7Kysti0\naZPjIrx8+XKSk5N59NFHvW2a4B/i4+Px9/dn2rRpLF++HH9/f6ZMmeJtswR3IWKsRCC4Ay5fvszj\njz/OkSNHUCgUNG/enPj4eLp3715mNqxcuZLJkydz+vRpatWqxaJFi4iMjCyz4wsE9yBC6UcguNfY\nvHkzgwcP5ttvvyU8PJxz584BUKtWLS9bJhDc1QiHKRDca0RGRjJw4EAhmiAQlC5uHaaoYQoEdylW\nq5Vdu3Zx8eJFmjZtSr169XjllVccq7YEAkHpIhymQHCXcuHCBUwmE6tXryYlJYWMjAzS09OJj4/3\ntmmlyrVr13jqqacICAigYcOGrFixwtsmCcopwmEKBHcpfn5+AIwcOZKgoCCqVq3KmDFj7rkZ0OHD\nh6PVarl06RLLli1j2LBh5UbcXuBbCIcpENylVK5cmTp16rg8JpO5Lb3ctdy4cYM1a9YQHx+Pn58f\nkZGR9O7dm6VLl3rbNEE5RDhMgeAuJjY2llmzZnHp0iWuXbvGp59+Sq9evTx+3IoVKxIYGEhgYCAV\nK1ZEqVQyatSoUj/O0aNHUalUNG7c2PFY69atOXDgQKkfSyC4GWJbiUBwFzNhwgQuX75McHAwfn5+\nPPfcc7z99tseP25OTo7j67y8PGrVqsWzzz5b6sfJzc0lMDDQ5bHAwECX4wsEZYVwmALBXYxSqSQh\nIYGEhASv2fDdd98RFBTkEbGEgIAAsrOzXR7LysqiYsWKpX4sgeBmiJSsQCC4I5YsWUL//v098trB\nwcGYzWYyMzMdj+3Zs0esEBN4BSFcIBAIbptTp07RpEkTjh8/Tv369T1yjH79+iGTyfjyyy/ZvXs3\nvXr1IjU1lZCQEI8cTyBACBcIBILSZunSpURFRXnMWQIkJCRw48YNgoKCeOGFF5gzZ45wlgKvICJM\ngUBw2zRr1oy3336bl156ydumCASlyW1pyQoEAoFbZDJZBLARqClJUp637REIPI1IyQoEgtulP7Ba\nOEtBeUFEmAKBQCAQlAARYQoEAoFAUAKEwxQIBAKBoAQIhykQCAQCQQkQDlMgEAgEghLw/46yn+C8\nQvpNAAAAAElFTkSuQmCC\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig = plt.figure(figsize=(8,6))\n", + "\n", + "ax = fig.add_subplot(1, 1, 1, projection='3d')\n", + "\n", + "p = ax.plot_wireframe(X, Y, Z, rstride=4, cstride=4)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Coutour plots with projections" + ] + }, + { + "cell_type": "code", + "execution_count": 123, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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tZs8eN88/v4uGhoaE7+HesbXguS7qvvcAT8y4mU/fVYbFPDq2QbyAxg/mfv81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\nP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C7kchlarYFkMrn1mwdzXwZDLQ0NrTvyT319B3jvvZdoa+tBpdKSyaSw26d55JHH8fu9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DaOt+j+3Dn8sQLMg4r7OtnH3qOdpffJPYiQZcNZW4ZlRgK8hDdtoRSZ1kNIba7ife2EzsZAPW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\nsWDBAgYOHHiqh95tZNRC0gFSMCVnH9XV1WRmZlJcXMz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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig = plt.figure(figsize=(8,6))\n", + "\n", + "ax = fig.add_subplot(1,1,1, projection='3d')\n", + "\n", + "ax.plot_surface(X, Y, Z, rstride=4, cstride=4, alpha=0.25)\n", + "cset = ax.contour(X, Y, Z, zdir='z', offset=-np.pi, cmap=matplotlib.cm.coolwarm)\n", + "cset = ax.contour(X, Y, Z, zdir='x', offset=-np.pi, cmap=matplotlib.cm.coolwarm)\n", + "cset = ax.contour(X, Y, Z, zdir='y', offset=3*np.pi, cmap=matplotlib.cm.coolwarm)\n", + "\n", + "ax.set_xlim3d(-np.pi, 2*np.pi);\n", + "ax.set_ylim3d(0, 3*np.pi);\n", + "ax.set_zlim3d(-np.pi, 2*np.pi);" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Further reading" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "* http://www.matplotlib.org - The project web page for matplotlib.\n", + "* https://github.com/matplotlib/matplotlib - The source code for matplotlib.\n", + "* http://matplotlib.org/gallery.html - A large gallery showcaseing various types of plots matplotlib can create. Highly recommended! \n", + "* http://www.loria.fr/~rougier/teaching/matplotlib - A good matplotlib tutorial.\n", + "* http://scipy-lectures.github.io/matplotlib/matplotlib.html - Another good matplotlib reference.\n" + ] + } + ], + "metadata": { + "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": "3.5.1" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/04-Visualisation-Matplotlib-Pandas/04-01-Matplotlib/.ipynb_checkpoints/Matplotlib Exercices - solutions-checkpoint.ipynb b/04-Visualisation-Matplotlib-Pandas/04-01-Matplotlib/.ipynb_checkpoints/Matplotlib Exercices - solutions-checkpoint.ipynb new file mode 100644 index 0000000..72e9687 --- /dev/null +++ b/04-Visualisation-Matplotlib-Pandas/04-01-Matplotlib/.ipynb_checkpoints/Matplotlib Exercices - solutions-checkpoint.ipynb @@ -0,0 +1,344 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "___\n", + "\n", + " \n", + "___\n", + "# Matplotlib Exercises \n", + "\n", + "Welcome to the exercises for reviewing matplotlib! Take your time with these, Matplotlib can be tricky to understand at first. These are relatively simple plots, but they can be hard if this is your first time with matplotlib, feel free to reference the solutions as you go along.\n", + "\n", + "Also don't worry if you find the matplotlib syntax frustrating, we actually won't be using it that often throughout the course, we will switch to using seaborn and pandas built-in visualization capabilities. But, those are built-off of matplotlib, which is why it is still important to get exposure to it!\n", + "\n", + "** * NOTE: ALL THE COMMANDS FOR PLOTTING A FIGURE SHOULD ALL GO IN THE SAME CELL. SEPARATING THEM OUT INTO MULTIPLE CELLS MAY CAUSE NOTHING TO SHOW UP. * **\n", + "\n", + "# Exercises\n", + "\n", + "Follow the instructions to recreate the plots using this data:\n", + "\n", + "## Data" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "import numpy as np\n", + "x = np.arange(0,100)\n", + "y = x*2\n", + "z = x**2" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "** Import matplotlib.pyplot as plt and set %matplotlib inline if you are using the jupyter notebook. What command do you use if you aren't using the jupyter notebook?**" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Exercise 1\n", + "\n", + "** Follow along with these steps: **\n", + "* ** Create a figure object called fig using plt.figure() **\n", + "* ** Use add_axes to add an axis to the figure canvas at [0,0,1,1]. Call this new axis ax. **\n", + "* ** Plot (x,y) on that axes and set the labels and titles to match the plot below:**" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "collapsed": false + }, + "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": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Exercise 2\n", + "** Create a figure object and put two axes on it, ax1 and ax2. Located at [0,0,1,1] and [0.2,0.5,.2,.2] respectively.**" + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "** Now plot (x,y) on both axes. And call your figure object to show it.**" + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "execution_count": 42, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Exercise 3\n", + "\n", + "** Create the plot below by adding two axes to a figure object at [0,0,1,1] and [0.2,0.5,.4,.4]**" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "** Now use x,y, and z arrays to recreate the plot below. Notice the xlimits and y limits on the inserted plot:**" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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urJvPiMiBAr+8TkSO3fr1cMcdcPHFfk7677+HLl0U8iJyKAW9SAzZ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\nH51ua+eImT++AAAAAElFTkSuQmCC\n", + "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": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Exercise 4\n", + "\n", + "** Use plt.subplots(nrows=1, ncols=2) to create the plot below.**" + ] + }, + { + "cell_type": "code", + "execution_count": 48, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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o6c/8d4EXL/PcovLV+9xFZntRuV5ktlvMdS9huMTOrAAvTUL38OSx/cAfT615bPKH+QLw\ngXnMBf6WtSvh/w48B3x3nu95au3f9fhh6PJn/aes/RTCMeBT83rPwO8AT0zmHgPu72nul4HzwP8C\nP2TtyGrh+Rpq7iKzvahcLzLbreXaX4aSpIb5v1BKUsMseUlqmCUvSQ2z5CWpYZa8JDXMkpekhlny\nktQwS16SGvZ/GNp0aN6HtcEAAAAASUVORK5CYII=\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "** Now plot (x,y) and (x,z) on the axes. Play around with the linewidth and style**" + ] + }, + { + "cell_type": "code", + "execution_count": 51, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Great Job!" + ] + } + ], + "metadata": { + "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": "3.5.1" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/04-Visualisation-Matplotlib-Pandas/04-01-Matplotlib/.ipynb_checkpoints/Matplotlib Exercices-checkpoint.ipynb b/04-Visualisation-Matplotlib-Pandas/04-01-Matplotlib/.ipynb_checkpoints/Matplotlib Exercices-checkpoint.ipynb new file mode 100644 index 0000000..33c5df5 --- /dev/null +++ b/04-Visualisation-Matplotlib-Pandas/04-01-Matplotlib/.ipynb_checkpoints/Matplotlib Exercices-checkpoint.ipynb @@ -0,0 +1,387 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Matplotlib Exercices - Solutions \n", + "\n", + "Bienvenue sur les exercices de révision de matplotlib! Prenez votre temps surtout, Matplotlib peut être difficile à comprendre au début. Ce sont des tracés relativement simples, mais ils peuvent être difficiles si c'est la première fois que vous utilisez matplotlib, n'hésitez pas à vous référer aux solutions au fur et à mesure que vous avancez.\n", + "\n", + "Ne vous inquiétez pas non plus si vous trouvez la syntaxe matplotlib frustrante, nous ne l'utiliserons pas souvent tout au long du cours, nous allons passer à l'utilisation des capacités de visualisation intégrées de pandas. Mais, ceux-ci sont construits à partir de matplotlib, c'est pourquoi il est toujours important d'y être exposé !\n", + "\n", + "**NOTE : TOUTES LES COMMANDES POUR TRACER UNE FIGURE DOIVENT ÊTRE PRESENTES DANS LA MÊME CELLULE. LES SÉPARER EN PLUSIEURS CELLULES PEUT NE RIEN FAIRE APPARAÎTRE.**\n", + "\n", + "# Exercices\n", + "\n", + "Suivez les instructions pour recréer les tracés à l'aide de ces données:\n", + "\n", + "## Données" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "x = np.arange(0,100)\n", + "y = x*2\n", + "z = x**2" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Importer matplotlib.pyplot en tant que plt et définir %matplotlib inline si vous utilisez le notebook jupyter. Quelle commande utilisez-vous si vous n'utilisez pas Jupyter Notebook?**" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "import matplotlib.pyplot as plt\n", + "%matplotlib inline" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Exercice 1\n", + "\n", + "**Suivre ces étapes**\n", + "* **Créer un objet Figure qu'on nomme fig en utilisant plt.figure()**\n", + "* **Utiliser add_axes pour ajouter un axe sur le canevas de la figure à [0,0,1,1]. Appeler ce nouvel axe ax.**\n", + "* **Tracer (x,y) sur ces axes et définir les étiquettes et titres pour correspondre au graphique ci-dessous:**" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0.5, 1.0, 'title')" + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig = plt.figure()\n", + "ax = fig.add_axes([0,0,1,1])\n", + "ax.plot(x,y)\n", + "\n", + "ax.set_xlabel('x')\n", + "ax.set_ylabel('y')\n", + "ax.set_title('title')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Exercice 2\n", + "**Créez un objet Figure et placez-y deux axes, ax1 et ax2: situés à [0,0,1,1] et [0.2,0.5,.2,.2] respectivement.**" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig = plt.figure()\n", + "\n", + "ax1 = fig.add_axes([0,0,1,1])\n", + "ax2 = fig.add_axes([.2,.5,.2,.2])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Tracer maintenant (x,y) sur les deux axes. Afficher le résultat.**" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "ax1.plot(x,y,color='r')\n", + "ax1.set_xlabel('x')\n", + "ax1.set_ylabel('y')\n", + "\n", + "ax2.plot(x,y,color='r')\n", + "ax2.set_xlabel('x')\n", + "ax2.set_ylabel('y')\n", + "\n", + "fig # Afficher l'objet figure" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Exercice 3\n", + "\n", + "**Créer le tracé ci-dessous en ajoutant deux axes à un objet figure à [0,0,1,1] et [0.2,0.5,.4,.4].**" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig = plt.figure()\n", + "\n", + "ax1 = fig.add_axes([0,0,1,1])\n", + "ax2 = fig.add_axes([.2,.5,.4,.4])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Utiliser maintenant les tableaux x, y et z pour recréer le graphique ci-dessous. Notez les limites x et y sur le tracé inséré:**" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# large\n", + "ax1.plot(x,z,color='b')\n", + "ax1.set_xlabel('X')\n", + "ax1.set_ylabel('Z')\n", + "\n", + "# insert\n", + "ax2.plot(x,y,color='b')\n", + "ax2.set_xlabel('x')\n", + "ax2.set_ylabel('y')\n", + "ax2.set_title('zoom')\n", + "\n", + "ax2.set_xlim([20,22])\n", + "ax2.set_ylim([30,50])\n", + "\n", + "fig" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Exercice 4\n", + "\n", + "**Utiliser plt.subplots(nrows=1, ncols=2) pour créer le tracé ci-dessous.**" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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/iJ8BVoGvA6/cprr/Avw38I3pn+Xteszr1o75i7HZYw7wt8Bp4FvAoW38Oe8DvjL9pfkG8Acj1PwU8D3gZ0zOeO4E3ga8bebxHp329K2x/p0XOdeLnO1FzfUiZ3sRcz3P2farFSSpCa+0laQmDHxJasLAl6QmDHxJasLAl6QmDHxJasLAl6Qm/g9yAKZwvIhC+gAAAABJRU5ErkJggg==\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# Canevas vide de sous-graphiques 1 par 2\n", + "fig, axes = plt.subplots(nrows=1, ncols=2)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Tracer maintenant (x,y) et (x,z) sur les axes. Jouer avec la largeur et le style de la ligne**" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "axes[0].plot(x,y,color='b',lw=3,ls='-')\n", + "axes[1].plot(x,z,color='r',lw=3,ls='--')\n", + "\n", + "fig" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Voyez si vous pouvez redimensionner le tracé en ajoutant l'argument figsize() dans plt.subplots() et copier et coller votre code précédent.**" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0, 0.5, 'z')" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig, axes = plt.subplots(nrows=1, ncols=2,figsize=(12,2))\n", + "\n", + "axes[0].plot(x,y,color=\"blue\", lw=5)\n", + "axes[0].set_xlabel('x')\n", + "axes[0].set_ylabel('y')\n", + "\n", + "axes[1].plot(x,z,color=\"red\", lw=3, ls='--')\n", + "axes[1].set_xlabel('x')\n", + "axes[1].set_ylabel('z')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Bon travail!" + ] + } + ], + "metadata": { + "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": "3.7.5" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} diff --git a/04-Visualisation-Matplotlib-Pandas/04-01-Matplotlib/.ipynb_checkpoints/Matplotlib-checkpoint.ipynb b/04-Visualisation-Matplotlib-Pandas/04-01-Matplotlib/.ipynb_checkpoints/Matplotlib-checkpoint.ipynb new file mode 100644 index 0000000..b48e6d7 --- /dev/null +++ b/04-Visualisation-Matplotlib-Pandas/04-01-Matplotlib/.ipynb_checkpoints/Matplotlib-checkpoint.ipynb @@ -0,0 +1,1124 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "___\n", + "\n", + " \n", + "___\n", + "# Matplotlib Overview Lecture" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Introduction" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Matplotlib is the \"grandfather\" library of data visualization with Python. It was created by John Hunter. He created it to try to replicate MatLab's (another programming language) plotting capabilities in Python. So if you happen to be familiar with matlab, matplotlib will feel natural to you.\n", + "\n", + "It is an excellent 2D and 3D graphics library for generating scientific figures. \n", + "\n", + "Some of the major Pros of Matplotlib are:\n", + "\n", + "* Generally easy to get started for simple plots\n", + "* Support for custom labels and texts\n", + "* Great control of every element in a figure\n", + "* High-quality output in many formats\n", + "* Very customizable in general\n", + "\n", + "Matplotlib allows you to create reproducible figures programmatically. Let's learn how to use it! Before continuing this lecture, I encourage you just to explore the official Matplotlib web page: http://matplotlib.org/\n", + "\n", + "## Installation \n", + "\n", + "You'll need to install matplotlib first with either:\n", + "\n", + " conda install matplotlib\n", + "or\n", + " pip install matplotlib\n", + " \n", + "## Importing" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Import the `matplotlib.pyplot` module under the name `plt` (the tidy way):" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "import matplotlib.pyplot as plt" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "You'll also need to use this line to see plots in the notebook:" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "%matplotlib inline" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "That line is only for jupyter notebooks, if you are using another editor, you'll use: **plt.show()** at the end of all your plotting commands to have the figure pop up in another window." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": true + }, + "source": [ + "# Basic Example\n", + "\n", + "Let's walk through a very simple example using two numpy arrays:" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Example\n", + "\n", + "Let's walk through a very simple example using two numpy arrays. You can also use lists, but most likely you'll be passing numpy arrays or pandas columns (which essentially also behave like arrays).\n", + "\n", + "** The data we want to plot:**" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "import numpy as np\n", + "x = np.linspace(0, 5, 11)\n", + "y = x ** 2" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 0. , 0.5, 1. , 1.5, 2. , 2.5, 3. , 3.5, 4. , 4.5, 5. ])" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "x" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 0. , 0.25, 1. , 2.25, 4. , 6.25, 9. , 12.25,\n", + " 16. , 20.25, 25. ])" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "y" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Basic Matplotlib Commands\n", + "\n", + "We can create a very simple line plot using the following ( I encourage you to pause and use Shift+Tab along the way to check out the document strings for the functions we are using)." + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(x, y, 'r') # 'r' is the color red\n", + "plt.xlabel('X Axis Title Here')\n", + "plt.ylabel('Y Axis Title Here')\n", + "plt.title('String Title Here')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Creating Multiplots on Same Canvas" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# plt.subplot(nrows, ncols, plot_number)\n", + "plt.subplot(1,2,1)\n", + "plt.plot(x, y, 'r--') # More on color options later\n", + "plt.subplot(1,2,2)\n", + "plt.plot(y, x, 'g*-');" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "___\n", + "# Matplotlib Object Oriented Method\n", + "Now that we've seen the basics, let's break it all down with a more formal introduction of Matplotlib's Object Oriented API. This means we will instantiate figure objects and then call methods or attributes from that object." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Introduction to the Object Oriented Method" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The main idea in using the more formal Object Oriented method is to create figure objects and then just call methods or attributes off of that object. This approach is nicer when dealing with a canvas that has multiple plots on it. \n", + "\n", + "To begin we create a figure instance. Then we can add axes to that figure:" + ] + }, + { + "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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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Create Figure (empty canvas)\n", + "fig = plt.figure()\n", + "\n", + "# Add set of axes to figure\n", + "axes = fig.add_axes([0.1, 0.1, 0.8, 0.8]) # left, bottom, width, height (range 0 to 1)\n", + "\n", + "# Plot on that set of axes\n", + "axes.plot(x, y, 'b')\n", + "axes.set_xlabel('Set X Label') # Notice the use of set_ to begin methods\n", + "axes.set_ylabel('Set y Label')\n", + "axes.set_title('Set Title')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Code is a little more complicated, but the advantage is that we now have full control of where the plot axes are placed, and we can easily add more than one axis to the figure:" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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Xrh0rV64M7U7XrnVTed5yi5sa3RgDWGiEM39HVa0UkUuAmoAA633XcmT3uutP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\nEZmMW8Qp7fFRvp9BDQ1jzOk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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Creates blank canvas\n", + "fig = plt.figure()\n", + "\n", + "axes1 = fig.add_axes([0.1, 0.1, 0.8, 0.8]) # main axes\n", + "axes2 = fig.add_axes([0.2, 0.5, 0.4, 0.3]) # inset axes\n", + "\n", + "# Larger Figure Axes 1\n", + "axes1.plot(x, y, 'b')\n", + "axes1.set_xlabel('X_label_axes2')\n", + "axes1.set_ylabel('Y_label_axes2')\n", + "axes1.set_title('Axes 2 Title')\n", + "\n", + "# Insert Figure Axes 2\n", + "axes2.plot(y, x, 'r')\n", + "axes2.set_xlabel('X_label_axes2')\n", + "axes2.set_ylabel('Y_label_axes2')\n", + "axes2.set_title('Axes 2 Title');" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## subplots()\n", + "\n", + "The plt.subplots() object will act as a more automatic axis manager.\n", + "\n", + "Basic use cases:" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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vf4f9949dlWSBgkBEYM2aMEns0Ufh2mth5EioVy92VZIl6iMQSbsFC+CMM0Ln8OOPw2WX\nxa5IskxBIJJmU6eGmcLr18PYsWF3MUkdNQ2JpNULL4TNZOrVC3sKKARSS0EgkjbucPvtYZbwEUeE\nENCOYqmmpiGRNPn2W7joInjxRbjgAnjiCahVK3ZVEpmCQCQtli0L/QHTpkG/ftCnj5aLEEBBIJIO\ns2eH5SKKi2HYMOjUKXZFkkMS6yMws6fNbLmZzSn33B5m9pqZfZr5qZ3PRJI2ejT8+tdhwtjkyQoB\n+YkkO4ufAdpu8txNwHh3bw6MzzwWkSS4wyOPhIlizZvDO+/Av/xL7KokByUWBO4+CVi1ydPtgSGZ\n+0OADkkdXyTVSkrCUhG9eoUgmDxZ+wrLZmV7+GhDd1+Sub+UsB9yhcysu5nNMLMZxcXF2alOpBCs\nXh02lh84EG68MfQJ1KkTuyrJYdHmEWS2v/QtvD7I3YvcvaiB9kUV2TaffQZHHw0TJ8LTT4fRQTto\nupBsWbZHDS0zs0buvsTMGgHLs3x8kcI1aVLoCHYP+wn85jexK5I8ke2vCqOACzL3LwBGZvn4IoVp\nyJCwRMSee4Z5AgoB2Q5JDh99AZgKtDCzRWZ2MdAPONnMPgVOyjwWkcoqK4NbboELL4Tjjgsh0Lx5\n7KokzyTWNOTu52zmpROTOqZIqqxbB926wfDh0L07DBgANWvGrkrykGYWi+Sjr74Kw0JnzYIHHwzD\nRLVchFSSgkAk34wfD127hl3FRo4Mm8qIVIHGlYnki++/DwvFnXwy7LorvPWWQkCqha4IRPLBvHlh\n/4B334UePUJzUO3asauSAqErApFc5g6DBsFhh8HChTBiRJgxrBCQaqQrApFctXIlXHppOPmfeCI8\n+yzss0/sqqQA6YpAJBeNHw+//CX87W/Qvz+MG6cQkMQoCERySfkO4fr14e23oXdvrRckiVLTkEiu\nmDcPzjsvzA1Qh7Bkkb5miMRWvkP4yy/VISxZpysCkZjUISw5QFcEIrGU7xC+/351CEs0CgKRbCvf\nIVyvXlgx9Prr1SEs0ahpSCSbPv44zBBWh7DkEH0FEckGd3jyydAhvGCBOoQlpygIRJK2ciV07hz2\nDDj6aJg9Gzp0iF2VyP9TEIgkSR3CkgcUBCJJUIew5BF1FotUt007hB94AOrUiV2VyGbp64lIddlc\nh7BCQHKcgkCkOqhDWPKYgkCkqiZMgF/9Sh3CkrcUBCKVtX493HgjnHQS1K2rDmHJW/ovVqQyRo+G\nQw6B++4Li8bNnBn6BkTykIJAZHt8/DGceiqcfjrUqAFjx8ITT6hDWPKagkBkW6xZAzfcAIceCn//\nexgS+sEHcMopsSsTqTLNIxDZkrIy+POfQ1/AsmVw0UVwzz3QsGHsykSqjYJAZHPeeQeuvjr8POoo\neOUVOPzw2FWJVDs1DYlsaunS8M3/yCNh4UIYMiQ0BykEpEApCEQ2+v770PZ/4IHw3HNhraBPPoFu\n3TQkVApalKYhM1sAfANsAErdvShGHSL/b+xY6NXrh1FBDz0UAkEkBWL2EZzg7isiHl8E5s+H664L\n7f/Nm4fZwaedFrsqkazS9a6k09q1cPPNcPDB8MYb8B//EdYHUghICsUKAgdeN7OZZta9ojeYWXcz\nm2FmM4qLi7NcnhQs99D+36IF9OsHXbqEfoA+faBWrdjViUQRKwiOdfeWQDvgSjM7ftM3uPsgdy9y\n96IGDRpkv0IpPDNnwrHHQteuYVG4qVPDiKBGjWJXJhJVlCBw98WZn8uBEcARMeqQlFi+PKwHdPjh\noU9g8GB4++0wN0BEsh8EZlbHzOptvA+0AeZkuw5JgZISePjhMPrnmWfg2mtDM9BFF2k4qEg5MUYN\nNQRGmNnG4w9197ER6pBC9vrrcM01MHcutGkTAuGf/zl2VSI5KetB4O6fA7/K9nElJb74Anr3DttE\nNmsG//VfcOaZEL54iEgFdH0shWHdOujbN3zrf/VVuPtu+PBDaN9eISCyFVp0TvJbSQm8+CLccgss\nWgTnnhvmBOy7b+zKRPKGgkDy0zffwFNPhbb/hQuhZUt44YUwPFREtouCQPLL4sXw6KNhV7D/+R84\n/ngYMCDMCNZIIJFKURBIfpgzB/r3h6FDYcMG6Nw5bBR/hKagiFSVgkBylztMmBACYOxYqF0bevQI\n8wGaNYtdnUjBUBBI7ikpgb/+NQTAu+/C3nvDXXfBZZfBnnvGrk6k4CgIJHds2gHcogU8+SScfz7s\nvHPs6kQKloJA4vvqq9ABPHCgOoBFIlAQSDxz5oStIZ9//ocO4N69w17BIpI1CgLJLvewEcz996sD\nWCRHKAgkO0pK4OWXQwfwrFnqABbJIQoCSZY6gEVynoJAkqEOYJG8oSCQ6qUOYJG8oyCQqluzBkaP\nhmef/XEHcK9e8LOfxa5ORLZCQSCVs2oVjBoFw4bBuHHw/fdhE/g774TLL1cHsEgeURDItlu2LOz4\nNWxYGAJaWgpNmsCVV4YmoKOPVvu/SB5SEMiWLV4Mw4eHk//kyVBWBj//eWj379wZioq0A5hInlMQ\nyE998UU48Q8bBtOmhecOPhhuuy2c/A89VCd/kQKiIJBg3rwfTv7vvhuea9Uq7P3buXMY/y8iBUlB\nkFbuMHv2Dyf/Dz8Mzx91VFj+oVMnLfkgkhIKgjRxhxkzfjj5z58fOnePOy5M/urYUZu+i6SQgqDQ\nlZXB1KlhnZ/hw8MyDzVqQOvWYavHDh2gYcPYVYpIRAqCQlRaCpMmhW/9I0bAkiWw007Qpg3ccQec\neSbssUfsKkUkRygICsGqVaGDd9YsmDkTxo+HFStgl12gXbvQ2Xv66VC/fuxKRSQHKQjyzdKl4YRf\n/vbllz+83qQJnHxyOPm3bQt16sSrVUTygoIgV7mH9vyN3/Q33pYs+eE9zZuHUT5XXAGHHRaGe2pp\nBxHZTgqCXFBWBp999tNv+qtWhdd32AEOOih802/VKpz0W7ZUU4+IVAsFQbaVlsLHH//4hP/uu2ED\nF4CaNcPM3U6dwgn/sMPC49q149YtIgVLQZCk9evDRK3yJ/3334fvvguv77JL+GbfrdsPJ/2DDgoj\nfEREsiRKEJhZW+ARoAbwlLv3i1HHdlm/Hr7+OtxWr/7xz4qeKy4O3/xLSsLv168fTvSXX/7DSb9F\nizCmX0QkoqwHgZnVAB4DTgYWAdPNbJS7f5Togd1D88v2nMzL39/4LX5zateG3XeH3XYLP5s1C0M2\nN570DzhASzSLSE6KcUVwBDDf3T8HMLMXgfZA9QfBnXfCM8+Ek/nq1aFTdnPMYNddw0l84wn9oIN+\nfHLf3P3ddlNzjojkrRhB0Bj4R7nHi4CfbGhrZt2B7gBNmjSp3JEaNQp75W7pJL7xfv36+sYuIqmU\ns53F7j4IGARQVFTklfpDLrkk3EREZLNifAVeDOxX7vG+medERCSCGEEwHWhuZgeY2U5AF2BUhDpE\nRIQITUPuXmpmVwGvEoaPPu3uH2a7DhERCaL0Ebj7GGBMjGOLiMiPaZiMiEjKKQhERFJOQSAiknIK\nAhGRlDP3ys3VyiYzKwa+3OobK7YXsKIay8kH+szpoM+cDlX5zPu7e4OtvSkvgqAqzGyGuxfFriOb\n9JnTQZ85HbLxmdU0JCKScgoCEZGUS0MQDIpdQAT6zOmgz5wOiX/mgu8jEBGRLUvDFYGIiGyBgkBE\nJOUKOgjMrK2ZfWxm883sptj1JM3Mnjaz5WY2J3Yt2WBm+5nZG2b2kZl9aGY9Y9eUNDPb2czeMbP3\nM5/5jtg1ZYuZ1TCzd83sb7FryQYzW2Bms83sPTObkeixCrWPwMxqAJ8AJxO2w5wOnOPu1b83co4w\ns+OBtcCz7n5I7HqSZmaNgEbuPsvM6gEzgQ4F/m9sQB13X2tmNYEpQE93nxa5tMSZ2XVAEVDf3U+P\nXU/SzGwBUOTuiU+gK+QrgiOA+e7+ubt/D7wItI9cU6LcfRKwKnYd2eLuS9x9Vub+N8Bcwp7YBcuD\ntZmHNTO3wvw2V46Z7QucBjwVu5ZCVMhB0Bj4R7nHiyjwk0SamVlToBXwdtxKkpdpInkPWA685u4F\n/5mBh4E+QFnsQrLIgdfNbKaZdU/yQIUcBJISZlYXGAb0cvc1setJmrtvcPeWhP2+jzCzgm4GNLPT\ngeXuPjN2LVl2bObfuR1wZabpNxGFHASLgf3KPd4385wUkEw7+TDgeXcfHruebHL31cAbQNvYtSTs\nGODMTJv5i0BrM3subknJc/fFmZ/LgRGE5u5EFHIQTAeam9kBZrYT0AUYFbkmqUaZjtPBwFx3fzB2\nPdlgZg3MbLfM/V0IgyHmxa0qWe5+s7vv6+5NCf8fT3D38yOXlSgzq5MZAIGZ1QHaAImNBizYIHD3\nUuAq4FVCJ+JL7v5h3KqSZWYvAFOBFma2yMwujl1Two4BuhK+Ib6XuZ0au6iENQLeMLMPCF92XnP3\nVAynTJmGwBQzex94Bxjt7mOTOljBDh8VEZFtU7BXBCIism0UBCIiKacgEBFJOQWBiEjKKQhERFJO\nQSAiknIKAhGRlFMQiFSCmR1uZh9k9geok9kboKDX/JHCpQllIpVkZncBOwO7AIvc/d7IJYlUioJA\npJIya1hNB74Dfu3uGyKXJFIpahoSqbw9gbpAPcKVgUhe0hWBSCWZ2SjCssgHELbMvCpySSKVsmPs\nAkTykZl1A0rcfWhmf+y3zKy1u0+IXZvI9tIVgYhIyqmPQEQk5RQEIiIppyAQEUk5BYGISMopCERE\nUk5BICKScgoCEZGU+z9UcDxchBP53wAAAABJRU5ErkJggg==\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Use similar to plt.figure() except use tuple unpacking to grab fig and axes\n", + "fig, axes = plt.subplots()\n", + "\n", + "# Now use the axes object to add stuff to plot\n", + "axes.plot(x, y, 'r')\n", + "axes.set_xlabel('x')\n", + "axes.set_ylabel('y')\n", + "axes.set_title('title');" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Then you can specify the number of rows and columns when creating the subplots() object:" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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VCpLUhJ+0laQmLHxJasLCl6QmLHxJasLCl6QmLHxJasLCl6Qm/hdmHqOclqRawgAAAABJ\nRU5ErkJggg==\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Empty canvas of 1 by 2 subplots\n", + "fig, axes = plt.subplots(nrows=1, ncols=2)" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([,\n", + " ], dtype=object)" + ] + }, + "execution_count": 12, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Axes is an array of axes to plot on\n", + "axes" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can iterate through this array:" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "execution_count": 13, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "for ax in axes:\n", + " ax.plot(x, y, 'b')\n", + " ax.set_xlabel('x')\n", + " ax.set_ylabel('y')\n", + " ax.set_title('title')\n", + "\n", + "# Display the figure object \n", + "fig" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "A common issue with matplolib is overlapping subplots or figures. We ca use **fig.tight_layout()** or **plt.tight_layout()** method, which automatically adjusts the positions of the axes on the figure canvas so that there is no overlapping content:" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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WFBERmdL/AfZgiXAIWlEXAAAAAElFTkSuQmCC\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, axes = plt.subplots(nrows=1, ncols=2)\n", + "\n", + "for ax in axes:\n", + " ax.plot(x, y, 'g')\n", + " ax.set_xlabel('x')\n", + " ax.set_ylabel('y')\n", + " ax.set_title('title')\n", + "\n", + "fig \n", + "plt.tight_layout()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Figure size, aspect ratio and DPI" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Matplotlib allows the aspect ratio, DPI and figure size to be specified when the Figure object is created. You can use the `figsize` and `dpi` keyword arguments. \n", + "* `figsize` is a tuple of the width and height of the figure in inches\n", + "* `dpi` is the dots-per-inch (pixel per inch). \n", + "\n", + "For example:" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig = plt.figure(figsize=(8,4), dpi=100)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The same arguments can also be passed to layout managers, such as the `subplots` function:" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, axes = plt.subplots(figsize=(12,3))\n", + "\n", + "axes.plot(x, y, 'r')\n", + "axes.set_xlabel('x')\n", + "axes.set_ylabel('y')\n", + "axes.set_title('title');" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Saving figures\n", + "Matplotlib can generate high-quality output in a number formats, including PNG, JPG, EPS, SVG, PGF and PDF. " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "To save a figure to a file we can use the `savefig` method in the `Figure` class:" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "fig.savefig(\"filename.png\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Here we can also optionally specify the DPI and choose between different output formats:" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "fig.savefig(\"filename.png\", dpi=200)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "____\n", + "## Legends, labels and titles" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Now that we have covered the basics of how to create a figure canvas and add axes instances to the canvas, let's look at how decorate a figure with titles, axis labels, and legends." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Figure titles**\n", + "\n", + "A title can be added to each axis instance in a figure. To set the title, use the `set_title` method in the axes instance:" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "ax.set_title(\"title\");" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Axis labels**\n", + "\n", + "Similarly, with the methods `set_xlabel` and `set_ylabel`, we can set the labels of the X and Y axes:" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "ax.set_xlabel(\"x\")\n", + "ax.set_ylabel(\"y\");" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Legends" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "You can use the **label=\"label text\"** keyword argument when plots or other objects are added to the figure, and then using the **legend** method without arguments to add the legend to the figure: " + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 21, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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KCzhzzAAmDC3kkNLepCVAwX6aCldE9s+mpd78x6tegwFHwHkPQ+kRfqeSBFTf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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig = plt.figure()\n", + "\n", + "ax = fig.add_axes([0,0,1,1])\n", + "\n", + "ax.plot(x, x**2, label=\"x**2\")\n", + "ax.plot(x, x**3, label=\"x**3\")\n", + "ax.legend()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Notice how are legend overlaps some of the actual plot!\n", + "\n", + "The **legend** function takes an optional keyword argument **loc** that can be used to specify where in the figure the legend is to be drawn. The allowed values of **loc** are numerical codes for the various places the legend can be drawn. See the [documentation page](http://matplotlib.org/users/legend_guide.html#legend-location) for details. Some of the most common **loc** values are:" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "execution_count": 22, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Lots of options....\n", + "\n", + "ax.legend(loc=1) # upper right corner\n", + "ax.legend(loc=2) # upper left corner\n", + "ax.legend(loc=3) # lower left corner\n", + "ax.legend(loc=4) # lower right corner\n", + "\n", + "# .. many more options are available\n", + "\n", + "# Most common to choose\n", + "ax.legend(loc=0) # let matplotlib decide the optimal location\n", + "fig" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Setting colors, linewidths, linetypes\n", + "\n", + "Matplotlib gives you *a lot* of options for customizing colors, linewidths, and linetypes. \n", + "\n", + "There is the basic MATLAB like syntax (which I would suggest you avoid using for more clairty sake:" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Colors with MatLab like syntax" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "With matplotlib, we can define the colors of lines and other graphical elements in a number of ways. First of all, we can use the MATLAB-like syntax where `'b'` means blue, `'g'` means green, etc. The MATLAB API for selecting line styles are also supported: where, for example, 'b.-' means a blue line with dots:" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 23, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# MATLAB style line color and style \n", + "fig, ax = plt.subplots()\n", + "ax.plot(x, x**2, 'b.-') # blue line with dots\n", + "ax.plot(x, x**3, 'g--') # green dashed line" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Colors with the color= parameter" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can also define colors by their names or RGB hex codes and optionally provide an alpha value using the `color` and `alpha` keyword arguments. Alpha indicates opacity." + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 24, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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DqzNg6Tch0J4/K/d19VH0ehGuvS4aTzQSMTeCjc9uJOFrCfgH27N7dXcPXgvW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\nbBmEhVldnRDii7Jt49YeTfl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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots()\n", + "\n", + "ax.plot(x, x+1, color=\"blue\", alpha=0.5) # half-transparant\n", + "ax.plot(x, x+2, color=\"#8B008B\") # RGB hex code\n", + "ax.plot(x, x+3, color=\"#FF8C00\") # RGB hex code " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Line and marker styles" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "To change the line width, we can use the `linewidth` or `lw` keyword argument. The line style can be selected using the `linestyle` or `ls` keyword arguments:" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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KfPQRz/6OhsejDJgrK3lWeGAAKC4GWluTmWF1ptjhAEpUX/eSEuCEE0b/3Nt0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\nrlzX9U1jPD5e/vOen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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(figsize=(12,6))\n", + "\n", + "ax.plot(x, x+1, color=\"red\", linewidth=0.25)\n", + "ax.plot(x, x+2, color=\"red\", linewidth=0.50)\n", + "ax.plot(x, x+3, color=\"red\", linewidth=1.00)\n", + "ax.plot(x, x+4, color=\"red\", linewidth=2.00)\n", + "\n", + "# possible linestype options ‘-‘, ‘–’, ‘-.’, ‘:’, ‘steps’\n", + "ax.plot(x, x+5, color=\"green\", lw=3, linestyle='-')\n", + "ax.plot(x, x+6, color=\"green\", lw=3, ls='-.')\n", + "ax.plot(x, x+7, color=\"green\", lw=3, ls=':')\n", + "\n", + "# custom dash\n", + "line, = ax.plot(x, x+8, color=\"black\", lw=1.50)\n", + "line.set_dashes([5, 10, 15, 10]) # format: line length, space length, ...\n", + "\n", + "# possible marker symbols: marker = '+', 'o', '*', 's', ',', '.', '1', '2', '3', '4', ...\n", + "ax.plot(x, x+ 9, color=\"blue\", lw=3, ls='-', marker='+')\n", + "ax.plot(x, x+10, color=\"blue\", lw=3, ls='--', marker='o')\n", + "ax.plot(x, x+11, color=\"blue\", lw=3, ls='-', marker='s')\n", + "ax.plot(x, x+12, color=\"blue\", lw=3, ls='--', marker='1')\n", + "\n", + "# marker size and color\n", + "ax.plot(x, x+13, color=\"purple\", lw=1, ls='-', marker='o', markersize=2)\n", + "ax.plot(x, x+14, color=\"purple\", lw=1, ls='-', marker='o', markersize=4)\n", + "ax.plot(x, x+15, color=\"purple\", lw=1, ls='-', marker='o', markersize=8, markerfacecolor=\"red\")\n", + "ax.plot(x, x+16, color=\"purple\", lw=1, ls='-', marker='s', markersize=8, \n", + " markerfacecolor=\"yellow\", markeredgewidth=3, markeredgecolor=\"green\");" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Control over axis appearance" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "In this section we will look at controlling axis sizing properties in a matplotlib figure." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Plot range" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can configure the ranges of the axes using the `set_ylim` and `set_xlim` methods in the axis object, or `axis('tight')` for automatically getting \"tightly fitted\" axes ranges:" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+mEbbAdC0e9jRSDIqLD/XuDOceF3Y0UglKstQjSHAaudcjnMuD3gXOJWgxiSA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\nE45pF3ZEMWtx5g7Gzc1g/LwNZO3YR90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4J98zz3hXk9c/CDv/EJr3LWkMc9/oFMd6hjne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\nJEGFs4iIiIhIEv4f8szxbTyungQAAAAASUVORK5CYII=\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, axes = plt.subplots(1, 3, figsize=(12, 4))\n", + "\n", + "axes[0].plot(x, x**2, x, x**3)\n", + "axes[0].set_title(\"default axes ranges\")\n", + "\n", + "axes[1].plot(x, x**2, x, x**3)\n", + "axes[1].axis('tight')\n", + "axes[1].set_title(\"tight axes\")\n", + "\n", + "axes[2].plot(x, x**2, x, x**3)\n", + "axes[2].set_ylim([0, 60])\n", + "axes[2].set_xlim([2, 5])\n", + "axes[2].set_title(\"custom axes range\");" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Special Plot Types\n", + "\n", + "There are many specialized plots we can create, such as barplots, histograms, scatter plots, and much more. Most of these type of plots we will actually create using pandas. But here are a few examples of these type of plots:" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 27, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.scatter(x,y)" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(array([ 15., 6., 12., 9., 7., 13., 6., 16., 10., 6.]),\n", + " array([ 2. , 101.6, 201.2, 300.8, 400.4, 500. , 599.6, 699.2,\n", + " 798.8, 898.4, 998. ]),\n", + " )" + ] + }, + "execution_count": 28, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from random import sample\n", + "data = sample(range(1, 1000), 100)\n", + "plt.hist(data)" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "data = [np.random.normal(0, std, 100) for std in range(1, 4)]\n", + "\n", + "# rectangular box plot\n", + "plt.boxplot(data,vert=True,patch_artist=True); " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Further reading" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "* http://www.matplotlib.org - The project web page for matplotlib.\n", + "* https://github.com/matplotlib/matplotlib - The source code for matplotlib.\n", + "* http://matplotlib.org/gallery.html - A large gallery showcaseing various types of plots matplotlib can create. Highly recommended! \n", + "* http://www.loria.fr/~rougier/teaching/matplotlib - A good matplotlib tutorial.\n", + "* http://scipy-lectures.github.io/matplotlib/matplotlib.html - Another good matplotlib reference.\n" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.6.1" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} diff --git a/04-Visualisation-Matplotlib-Pandas/04-01-Matplotlib/Matplotlib Exercices - solutions.ipynb b/04-Visualisation-Matplotlib-Pandas/04-01-Matplotlib/Matplotlib Exercices - solutions.ipynb new file mode 100644 index 0000000..33c5df5 --- /dev/null +++ b/04-Visualisation-Matplotlib-Pandas/04-01-Matplotlib/Matplotlib Exercices - solutions.ipynb @@ -0,0 +1,387 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Matplotlib Exercices - Solutions \n", + "\n", + "Bienvenue sur les exercices de révision de matplotlib! Prenez votre temps surtout, Matplotlib peut être difficile à comprendre au début. Ce sont des tracés relativement simples, mais ils peuvent être difficiles si c'est la première fois que vous utilisez matplotlib, n'hésitez pas à vous référer aux solutions au fur et à mesure que vous avancez.\n", + "\n", + "Ne vous inquiétez pas non plus si vous trouvez la syntaxe matplotlib frustrante, nous ne l'utiliserons pas souvent tout au long du cours, nous allons passer à l'utilisation des capacités de visualisation intégrées de pandas. Mais, ceux-ci sont construits à partir de matplotlib, c'est pourquoi il est toujours important d'y être exposé !\n", + "\n", + "**NOTE : TOUTES LES COMMANDES POUR TRACER UNE FIGURE DOIVENT ÊTRE PRESENTES DANS LA MÊME CELLULE. LES SÉPARER EN PLUSIEURS CELLULES PEUT NE RIEN FAIRE APPARAÎTRE.**\n", + "\n", + "# Exercices\n", + "\n", + "Suivez les instructions pour recréer les tracés à l'aide de ces données:\n", + "\n", + "## Données" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "x = np.arange(0,100)\n", + "y = x*2\n", + "z = x**2" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Importer matplotlib.pyplot en tant que plt et définir %matplotlib inline si vous utilisez le notebook jupyter. Quelle commande utilisez-vous si vous n'utilisez pas Jupyter Notebook?**" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "import matplotlib.pyplot as plt\n", + "%matplotlib inline" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Exercice 1\n", + "\n", + "**Suivre ces étapes**\n", + "* **Créer un objet Figure qu'on nomme fig en utilisant plt.figure()**\n", + "* **Utiliser add_axes pour ajouter un axe sur le canevas de la figure à [0,0,1,1]. Appeler ce nouvel axe ax.**\n", + "* **Tracer (x,y) sur ces axes et définir les étiquettes et titres pour correspondre au graphique ci-dessous:**" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0.5, 1.0, 'title')" + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig = plt.figure()\n", + "ax = fig.add_axes([0,0,1,1])\n", + "ax.plot(x,y)\n", + "\n", + "ax.set_xlabel('x')\n", + "ax.set_ylabel('y')\n", + "ax.set_title('title')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Exercice 2\n", + "**Créez un objet Figure et placez-y deux axes, ax1 et ax2: situés à [0,0,1,1] et [0.2,0.5,.2,.2] respectivement.**" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig = plt.figure()\n", + "\n", + "ax1 = fig.add_axes([0,0,1,1])\n", + "ax2 = fig.add_axes([.2,.5,.2,.2])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Tracer maintenant (x,y) sur les deux axes. Afficher le résultat.**" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "ax1.plot(x,y,color='r')\n", + "ax1.set_xlabel('x')\n", + "ax1.set_ylabel('y')\n", + "\n", + "ax2.plot(x,y,color='r')\n", + "ax2.set_xlabel('x')\n", + "ax2.set_ylabel('y')\n", + "\n", + "fig # Afficher l'objet figure" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Exercice 3\n", + "\n", + "**Créer le tracé ci-dessous en ajoutant deux axes à un objet figure à [0,0,1,1] et [0.2,0.5,.4,.4].**" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig = plt.figure()\n", + "\n", + "ax1 = fig.add_axes([0,0,1,1])\n", + "ax2 = fig.add_axes([.2,.5,.4,.4])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Utiliser maintenant les tableaux x, y et z pour recréer le graphique ci-dessous. Notez les limites x et y sur le tracé inséré:**" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# large\n", + "ax1.plot(x,z,color='b')\n", + "ax1.set_xlabel('X')\n", + "ax1.set_ylabel('Z')\n", + "\n", + "# insert\n", + "ax2.plot(x,y,color='b')\n", + "ax2.set_xlabel('x')\n", + "ax2.set_ylabel('y')\n", + "ax2.set_title('zoom')\n", + "\n", + "ax2.set_xlim([20,22])\n", + "ax2.set_ylim([30,50])\n", + "\n", + "fig" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Exercice 4\n", + "\n", + "**Utiliser plt.subplots(nrows=1, ncols=2) pour créer le tracé ci-dessous.**" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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/iJ8BVoGvA6/cprr/Avw38I3pn+Xteszr1o75i7HZYw7wt8Bp4FvAoW38Oe8DvjL9pfkG8Acj1PwU8D3gZ0zOeO4E3ga8bebxHp329K2x/p0XOdeLnO1FzfUiZ3sRcz3P2farFSSpCa+0laQmDHxJasLAl6QmDHxJasLAl6QmDHxJasLAl6Qm/g9yAKZwvIhC+gAAAABJRU5ErkJggg==\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# Canevas vide de sous-graphiques 1 par 2\n", + "fig, axes = plt.subplots(nrows=1, ncols=2)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Tracer maintenant (x,y) et (x,z) sur les axes. Jouer avec la largeur et le style de la ligne**" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "axes[0].plot(x,y,color='b',lw=3,ls='-')\n", + "axes[1].plot(x,z,color='r',lw=3,ls='--')\n", + "\n", + "fig" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Voyez si vous pouvez redimensionner le tracé en ajoutant l'argument figsize() dans plt.subplots() et copier et coller votre code précédent.**" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0, 0.5, 'z')" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig, axes = plt.subplots(nrows=1, ncols=2,figsize=(12,2))\n", + "\n", + "axes[0].plot(x,y,color=\"blue\", lw=5)\n", + "axes[0].set_xlabel('x')\n", + "axes[0].set_ylabel('y')\n", + "\n", + "axes[1].plot(x,z,color=\"red\", lw=3, ls='--')\n", + "axes[1].set_xlabel('x')\n", + "axes[1].set_ylabel('z')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Bon travail!" + ] + } + ], + "metadata": { + "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": "3.7.5" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} diff --git a/04-Visualisation-Matplotlib-Pandas/04-01-Matplotlib/Matplotlib Exercices.ipynb b/04-Visualisation-Matplotlib-Pandas/04-01-Matplotlib/Matplotlib Exercices.ipynb new file mode 100644 index 0000000..a628837 --- /dev/null +++ b/04-Visualisation-Matplotlib-Pandas/04-01-Matplotlib/Matplotlib Exercices.ipynb @@ -0,0 +1,322 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Matplotlib Exercices\n", + "\n", + "Bienvenue sur les exercices de révision de matplotlib! Prenez votre temps surtout, Matplotlib peut être difficile à comprendre au début. Ce sont des tracés relativement simples, mais ils peuvent être difficiles si c'est la première fois que vous utilisez matplotlib, n'hésitez pas à vous référer aux solutions au fur et à mesure que vous avancez.\n", + "\n", + "Ne vous inquiétez pas non plus si vous trouvez la syntaxe matplotlib frustrante, nous ne l'utiliserons pas souvent tout au long du cours, nous allons passer à l'utilisation des capacités de visualisation intégrées de pandas. Mais, ceux-ci sont construits à partir de matplotlib, c'est pourquoi il est toujours important d'y être exposé !\n", + "\n", + "**NOTE : TOUTES LES COMMANDES POUR TRACER UNE FIGURE DOIVENT ÊTRE PRESENTES DANS LA MÊME CELLULE. LES SÉPARER EN PLUSIEURS CELLULES PEUT NE RIEN FAIRE APPARAÎTRE.**\n", + "\n", + "# Exercices\n", + "\n", + "Suivez les instructions pour recréer les tracés à l'aide de ces données:\n", + "\n", + "## Données" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "x = np.arange(0,100)\n", + "y = x*2\n", + "z = x**2" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Importer matplotlib.pyplot en tant que plt et définir %matplotlib inline si vous utilisez le notebook jupyter. Quelle commande utilisez-vous si vous n'utilisez pas Jupyter Notebook?**" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Exercice 1\n", + "\n", + "**Suivre ces étapes**\n", + "* **Créer un objet Figure qu'on nomme fig en utilisant plt.figure()**\n", + "* **Utiliser add_axes pour ajouter un axe sur le canevas de la figure à [0,0,1,1]. Appeler ce nouvel axe ax.**\n", + "* **Tracer (x,y) sur ces axes et définir les étiquettes et titres pour correspondre au graphique ci-dessous:**" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0.5, 1.0, 'title')" + ] + }, + "execution_count": 3, + "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": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Exercice 2\n", + "**Créez un objet Figure et placez-y deux axes, ax1 et ax2: situés à [0,0,1,1] et [0.2,0.5,.2,.2] respectivement.**" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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Afficher le résultat.**" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "data": { + "image/png": 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\n", 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" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Exercice 3\n", + "\n", + "**Créer le tracé ci-dessous en ajoutant deux axes à un objet figure à [0,0,1,1] et [0.2,0.5,.4,.4].**" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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Notez les limites x et y sur le tracé inséré:**" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", 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" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Exercice 4\n", + "\n", + "**Utiliser plt.subplots(nrows=1, ncols=2) pour créer le tracé ci-dessous.**" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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/iJ8BVoGvA6/cprr/Avw38I3pn+Xteszr1o75i7HZYw7wt8Bp4FvAoW38Oe8DvjL9pfkG8Acj1PwU8D3gZ0zOeO4E3ga8bebxHp329K2x/p0XOdeLnO1FzfUiZ3sRcz3P2farFSSpCa+0laQmDHxJasLAl6QmDHxJasLAl6QmDHxJasLAl6Qm/g9yAKZwvIhC+gAAAABJRU5ErkJggg==\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Tracer maintenant (x,y) et (x,z) sur les axes. Jouer avec la largeur et le style de la ligne**" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", 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" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Voyez si vous pouvez redimensionner le tracé en ajoutant l'argument figsize() dans plt.subplots() et copier et coller votre code précédent.**" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0, 0.5, 'z')" + ] + }, + "execution_count": 10, + "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": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Bon travail!" + ] + } + ], + "metadata": { + "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": "3.7.5" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} diff --git a/04-Visualisation-Matplotlib-Pandas/04-01-Matplotlib/Matplotlib.ipynb b/04-Visualisation-Matplotlib-Pandas/04-01-Matplotlib/Matplotlib.ipynb new file mode 100644 index 0000000..73aa656 --- /dev/null +++ b/04-Visualisation-Matplotlib-Pandas/04-01-Matplotlib/Matplotlib.ipynb @@ -0,0 +1,1126 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Matplotlib" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Introduction" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Matplotlib est la bibliothèque mère de visualisation de données avec Python. Il a été créé par John Hunter. Il l'a créé pour essayer de répliquer les capacités de traçage de MatLab (un autre langage de programmation) en Python. Ainsi, si vous êtes familier avec matlab, matplotlib vous semblera naturel.\n", + "\n", + "C'est une excellente bibliothèque graphique 2D et 3D pour générer des figures scientifiques. \n", + "\n", + "Quelques-uns des principaux avantages de Matplotlib sont:\n", + "\n", + "\n", + "* De façon générale, facile à utiliser pour des graphiques simples\n", + "* Prise en charge des étiquettes et des textes personnalisés\n", + "* Grande maîtrise de chaque élément d'une figure\n", + "* Sortie de haute qualité dans de nombreux formats\n", + "* Très personnalisable en général\n", + "\n", + "Matplotlib vous permet de créer des figures reproductibles par programmation. Apprenez à l'utiliser! Avant de poursuivre ce notebook, je vous encourage à explorer la page web officielle de Matplotlib: http://matplotlib.org/\n", + "\n", + "## Installation \n", + "\n", + "Vous devrez d'abord installer matplotlib avec l'un ou l'autre :\n", + "\n", + " conda install matplotlib\n", + "ou\n", + " pip install matplotlib\n", + " \n", + "## Importation" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Importer le module `matplotlib.pyplot` sous le nom `plt`:" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import matplotlib.pyplot as plt" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Vous devrez également utiliser cette ligne pour voir les tracés dans le notebook:" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "%matplotlib inline" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Cette ligne n'est que pour les jupyter notebooks, si vous utilisez un autre éditeur, vous utiliserez: **plt.show()** à la fin de toutes vos commandes de traçage pour que la figure apparaisse dans une autre fenêtre." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": true + }, + "source": [ + "# Exemple de base\n", + "\n", + "Passons en revue un exemple très simple en utilisant deux tableaux numpy:" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Exemple\n", + "\n", + "Passons en revue un exemple très simple en utilisant deux tableaux numpy. Vous pouvez aussi utiliser des listes, mais vous passerez probablement des tableaux numpy ou des colonnes pandas (qui se comportent essentiellement comme des tableaux).\n", + "\n", + "**Les données que nous voulons tracer :**" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "x = np.linspace(0, 5, 11)\n", + "y = x ** 2" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "array([0. , 0.5, 1. , 1.5, 2. , 2.5, 3. , 3.5, 4. , 4.5, 5. ])" + ] + }, + "metadata": {}, + "execution_count": 4 + } + ], + "source": [ + "x" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "array([ 0. , 0.25, 1. , 2.25, 4. , 6.25, 9. , 12.25, 16. ,\n", + " 20.25, 25. ])" + ] + }, + "metadata": {}, + "execution_count": 5 + } + ], + "source": [ + "y" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Commandes de base Matplotlib\n", + "\n", + "Nous pouvons créer un tracé de ligne très simple à l'aide de ce qui suit (je vous encourage à faire une pause et à utiliser Shift+Tab en cours de route pour vérifier la documentation docstrings pour les fonctions que nous utilisons)." + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": "
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+ }, + "metadata": { + "needs_background": "light" + } + } + ], + "source": [ + "plt.plot(x, y, 'r') # 'r' pour la couleur rouge (red)\n", + "plt.xlabel('X Axis Title Here')\n", + "plt.ylabel('Y Axis Title Here')\n", + "plt.title('String Title Here')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Création de graphiques multiples sur le même tableau" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": "
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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ], + "source": [ + "# plt.subplot(nrows, ncols, plot_number)\n", + "plt.subplot(1,2,1)\n", + "plt.plot(x, y, 'r--') # Plus d'informations sur les options de couleurs plus tard\n", + "plt.subplot(1,2,2)\n", + "plt.plot(y, x, 'g*-');" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "___\n", + "# Matplotlib Méthode Orientée Objet\n", + "Maintenant que nous avons vu les bases, décomposons le tout avec une introduction plus formelle de l'API orientée objet de Matplotlib. Cela signifie que nous instancions les objets figures et appelons ensuite les méthodes ou attributs à partir de cet objet." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Introduction à la Méthode Orientée Objet" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "L'idée principale dans l'utilisation de la méthode plus formelle Orientée Objet est de créer des objets figures et d'appeler ensuite simplement des méthodes ou attributs à partir de cet objet. Cette approche est plus agréable lorsqu'il s'agit d'un tableau sur laquelle il y a plusieurs parcelles. \n", + "\n", + "Pour commencer, nous créons une instance de figure. Ensuite, nous pouvons ajouter des axes à cette figure:" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "Text(0.5, 1.0, 'Set Title')" + ] + }, + "metadata": {}, + "execution_count": 8 + }, + { + "output_type": "display_data", + "data": { + "text/plain": "
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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ], + "source": [ + "# Création d'un objet Figure (tableau vide)\n", + "fig = plt.figure()\n", + "\n", + "# Ajout d'un ensemble d'axes à la figure\n", + "axes = fig.add_axes([0.1, 0.1, 0.8, 0.8]) # gauche, bas, largeur, hauteur (plage de 0 à 1)\n", + "\n", + "# Tracé sur cet ensemble d'axes\n", + "axes.plot(x, y, 'b')\n", + "axes.set_xlabel('Set X Label') # remarquez l'utilisation des méthodes set_ pour commencer\n", + "axes.set_ylabel('Set y Label')\n", + "axes.set_title('Set Title')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Le code est un peu plus compliqué, mais l'avantage est que nous avons maintenant le contrôle total de l'emplacement des axes du tracé, et nous pouvons facilement ajouter plus d'un axe à la figure:" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": "
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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ], + "source": [ + "# Créer un tableau vide\n", + "fig = plt.figure()\n", + "\n", + "axes1 = fig.add_axes([0.1, 0.1, 0.8, 0.8]) # axes principaux\n", + "axes2 = fig.add_axes([0.2, 0.5, 0.4, 0.3]) # axes rentrants\n", + "\n", + "# Plus grande figure Axes 1\n", + "axes1.plot(x, y, 'b')\n", + "axes1.set_xlabel('X_label_axes1')\n", + "axes1.set_ylabel('Y_label_axes1')\n", + "axes1.set_title('Axes 1 Title')\n", + "\n", + "# Insérer une figure Axes 2\n", + "axes2.plot(y, x, 'r')\n", + "axes2.set_xlabel('X_label_axes2')\n", + "axes2.set_ylabel('Y_label_axes2')\n", + "axes2.set_title('Axes 2 Title');" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## subplots()\n", + "\n", + "L'objet plt.subplots() agira comme un gestionnaire d'axes plus automatique.\n", + "\n", + "Cas d'utilisation de base:" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "output_type": 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+ }, + "metadata": { + "needs_background": "light" + } + } + ], + "source": [ + "# Utiliser comme plt.figure() sauf utiliser la syntaxe tuple pour récupérer fig et axes.\n", + "fig, axes = plt.subplots()\n", + "\n", + "# Utiliser maintenant l'objet axes pour ajouter des éléments au tracé\n", + "axes.plot(x, y, 'r')\n", + "axes.set_xlabel('x')\n", + "axes.set_ylabel('y')\n", + "axes.set_title('title');" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Ensuite, vous pouvez spécifier le nombre de lignes et de colonnes lors de la création de l'objet subplots():" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": "
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+ }, + "metadata": { + "needs_background": "light" + } + } + ], + "source": [ + "# Toile vide de 1 par 2 sous-graphiques\n", + "fig, axes = plt.subplots(nrows=1, ncols=2)" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "array([, ], dtype=object)" + ] + }, + "metadata": {}, + "execution_count": 12 + } + ], + "source": [ + "# Axes est un tableau d'axes sur lesquels on peut tracer des axes\n", + "axes" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Nous pouvons itérer à travers ce tableau:" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "
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+ }, + "metadata": {}, + "execution_count": 13 + } + ], + "source": [ + "for ax in axes:\n", + " ax.plot(x, y, 'b')\n", + " ax.set_xlabel('x')\n", + " ax.set_ylabel('y')\n", + " ax.set_title('title')\n", + "\n", + "# Afficher l'objet figure \n", + "fig" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Un problème courant avec matplolib est le chevauchement des sous-graphiques ou des figures. Nous pouvons utiliser la méthode **fig.tight_layout()** ou **plt.tight_layout()** qui ajuste automatiquement les positions des axes sur le canevas des figures afin qu'il n'y ait pas de chevauchement de contenu:" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": "
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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ], + "source": [ + "fig, axes = plt.subplots(nrows=1, ncols=2)\n", + "\n", + "for ax in axes:\n", + " ax.plot(x, y, 'g')\n", + " ax.set_xlabel('x')\n", + " ax.set_ylabel('y')\n", + " ax.set_title('title')\n", + "\n", + "fig \n", + "plt.tight_layout()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Taille des figures, rapport hauteur/largeur et DPI" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Matplotlib permet de spécifier l'aspect de ratio, de DPI et de taille de la figure lors de la création de l'objet Figure. Vous pouvez utiliser les arguments `figsize` et `dpi`. \n", + "* `figsize` est un tuple de la largeur et de la hauteur de la figure en pouces\n", + "* `dpi` est le nombre de points par pouce (pixel par pouce). \n", + "\n", + "par exemplee:" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": "
" + }, + "metadata": {} + } + ], + "source": [ + "fig = plt.figure(figsize=(8,4), dpi=100)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Les mêmes arguments peuvent également être transmis aux gestionnaires de mise en page, tels que la fonction `subplots`:" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": "
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xZ06+oO+WW2DhQthpp7w733nnwWGHQYcORVcolbUt6TTvATwRETOAm4A/pJRSacuSJEktevXVvOnIzTfDtGk5GB97LHzjGzBmDHTtWnSFUsVoMTSnlP5PRPw7cAxwAXBdREwGbkwpzS91gZIkqYmXXoI774QpU+DBB/PYuOHD4TvfgbPOgj32KLhAqTJt0ZrmlFKKiFeAV4A6YBfgfyLi3pTShFIWKElS1Zs7N4fkKVPg8cfzsSFD4Ior4OyzYb/9iq1PqgJbsqb5M8D5wDLgx8AVKaV1EdEBmAcYmiVJak0pwfTpjUF5zpx8vLYW/vM/YexY2HffYmuUqsyWdJp3A05NKS1oejClVB8RJ5amLEmSqkxdHUyd2hiUFy7Ma5QPPxzGj4dTTslTMCQVYkvWNH/5Xc7Nad1yJEmqImvWwL335pB8113w2muw3XZwzDHw1a/CSSfBbrsVXaUknNMsSVLb+sc/4Le/zUH5d7+DN9+E7t3zrnxjx8Jxx0G3bkVXKWkThmZJkkrtlVfyznxTpsADD8C6dXnKxTnn5KB85JHQpUvRVUp6F4ZmSZJKYf78xvXJf/lLvrhvr73g0ktzUD7oIDcckcqIoVmSpNaQEsya1RiUZ83Kx4cPhyuvzEF52DCIKLJKSdvI0CxJ0rZavz53kTcE5eefz6H4Qx/Km42ccgoMGlR0lZJagaFZkqSt8fbbeV3ylCl5nfLSpXk98tFHwxe/CCefDL17F12lpFZWstAcETcBJwJLU0rDGo71BP4bGAi8APxzSun1UtUgSVKrWLkyT7qYMgXuvhtWrMgTLk44AU49FY4/Pk/AkFSxStlp/ilwHTCpybEvAPenlK6KiC80PP98CWuQJGnbvPoq/PrXOSjfe2/uMPfqBaefntcnH3UUbL990VVKaiMlC80ppYcjYuAmh8cARzQ8/hnwIIZmSVJ7sWAB3HlnDsp/+hPU18OAAXlHvrFj4dBDoWPHoquUVIC2XtO8e0ppMUBKaXFEbHbRV0SMA8YB1NTUtFF5kqSqkhI8/XTjhXwzZuTjw4bBl76Ug/Lw4U68kNR+LwRMKU0EJgLU1tamgsuRJFWK+np4/PHGoDxvXj5+8MFw9dU5KA8eXGyNktqdtg7NSyKiT0OXuQ+wtI0/X5JUjdatgwcfbJx48fLL0KkTjBoFn/0sjBkDffoUXaWkdqytQ/NdwPnAVQ33v2rjz5ckVYu33oI//AHuuAN+8xt44w3o2jVPuhg7Fj7yEejRo+gqJZWJUo6cu4180d9uEbEI+Ao5LE+OiAuBF4HTS/X5kqQqtHx5DshTpuTAvHo19OyZNxkZOxZGj4Yddii6SkllqJTTM87azKmjSvWZkqQqU18PM2fCffflkPzQQ3mXvn794MIL8wzlD384L8WQpPfAf0UkSeVlwYI8N/m+++D++2HZsnx82DCYMCF3lGtrnXghqVUZmiVJ7dsbb+Rtq++7L4flZ5/Nx/fcM69LPvrofNtjj0LLlFTZDM2SpPbl7bfh0UdzQL73Xpg2LS/D6NYNjjwSLrkkr00eOtRusqQ2Y2iWJBUrJZg9u3HJxUMP5ckXHTvCyJHw7/+eO8kjR0LnzkVXK6lKGZolSW3vpZcal1vcdx8sWZKPDx0KH/947iQfcQR0715omZK0gaFZklR6K1bkDvKGkDxnTj7eu3fuIo8eDUcdBf37F1unJG2GoVmS1PrWrctbVW/oJj/2GNTV5RnJhx+ex8GNHp0nXnToUHS1ktQiQ7Mk6b1LCebObbx478EHYeXKHIhra/MouNGj4eCDYbvtiq5WkraaoVmStG2WLMmd5A23RYvy8b32go99LC+7GDUKdtml2DolqRUYmiVJW+bNN+HhhxuXXDz5ZD7es2dejzx6dA7KgwYVW6cklYChWZLUvPXrYfr0xov3HnkE1q7Nyys+9CG46qockkeMcF2ypIpnaJYkZSnB/PmNneQHHsi78UEOxpdemrvJH/pQvqBPkqqIoVmSqtmyZTkcb+gmv/BCPl5TAx/9aA7Jo0ZBr16FlilJRTM0S1I1WbMGpk5t7Cb/9a+5w7zzzjkcX3FFDsqDB7tFtSQ1YWiWpEpWXw8zZzaG5KlTc3Du3DmPf/va13JI/uAHoZM/EiRpc/wXUpIqyfr1ebe9Rx7Jyy7uvz8vwYC8kcj48fnivcMOg27diq1VksqIoVmSytmrr+bd9h59NN8efzxvKgKw555wwgmNW1T36VNsrZJUxgzNklQu1q2DWbPgL39pDMnz5+dzHTvC/vvDuefCQQflm+uSJanVGJolqb166aXGcPzoozBtWl6PDLlrfPDBcNFFOSB/8IPQtWux9UpSBTM0S1J7sGYNzJixcRd5w7bUXbrkUDx+fA7KBx0E/frZRZakNlRIaI6IF4CVwHqgLqVUW0QdklSIlOD55zfuIs+cmZdfQN6G+sMfblxmsf/+eRc+SVJhiuw0H5lSWlbg50tS21i5Mi+taBqSly7N53bcEQ44AC6/PAfkkSNhjz2KrVeS9A4uz5Ck1lRfD3PnbhyQZ8/OxwGGDs0TLTZ0kd//fucjS1IZKOpf6gTcExEJ+FFKaWJBdUjSe7N8eR7ztiEgP/YYvPFGPtejR+4cjx2bA/KBB0LPnkVWK0naRkWF5kNTSi9HRG/g3oh4JqX0cNMXRMQ4YBxATU1NETVK0sbq6nLXuGkXee7cfK5DB9hvPzjjjMYu8j775OOSpLIXKaViC4i4EliVUvrW5l5TW1ubpk2b1nZFSRLAK69svHHIE0/Am2/mc716NU6yOOggqK2FnXYqtl5J0nsWEdObG1LR5p3miNgR6JBSWtnw+Bjga21dhyRt5O238wSLpl3kF17I5zp1ghEj4OMfbwzKAwc68k2SqkgRyzN2B6ZE/mHTCfh5Sun3BdQhqVqlBAsXbhyQZ8zIwRmgf/8cjC+5JN+PGAE77FBszZKkQrV5aE4pPQfs39afK6mKvfkmTJ++cUhevDif2377vLTikktyF3nkSOjbt9h6JUntjnOOJFWOt9/OF+bNnp1vTz2V759/PneXAQYPhqOOalyL/IEPQOfOxdYtSWr3DM2Syk9dHcyb1xiKN9zPmwfr1+fXdOqUp1fU1sK//EteYjFyZL6AT5KkrWRoltR+1dfnLvGGULwhID/zDKxdm18TkbvH738/nHYaDBuWH++zD3TpUmz9kqSKYWiWVLyUYNGid4bjp5+Gt95qfN2AATkQH3dcYzgeOhS6di2udklSVTA0S2o7KcHSpRsvqdjweMWKxtf16ZND8bhxjeH4fe+D7t2Lq12SVNUMzZJKY/nyHIY3DcfLljW+Ztddcyg+55x8vyEgu9W0JKmdMTRLem9WrszLKDbtHm8Y6QZ5p7xhw2Ds2ByKN4Tj3Xd3gxBJUlkwNEvaMqtX5wvwNg3HCxY0vmaHHfIyimOOaQzHw4ZBv36GY0lSWTM0S9rY2rV5dNums47nz8/TLCDPNR46FA45BD75ycZwPHAgdOxYaPmSJJWCoVmqVuvXw3PPvTMcz52b5yADdOgAe++dNwA5++zG7vHgwW4IIkmqKoZmqZKtWpWXTzS9vfAC/P3vMGcOrFnT+NpBg3IgPvnkxnA8ZEjeZlqSpCpnaJbKVUrw+us5BG8ajDeE4+XLN35P585QU5M7xaNGNYbjffeFbt2K+F1IklQWDM1Se1VfD0uWvDMIN32+atXG7+naNa8rHjAADjww32+4DRwIe+yRl1xIkqStYmiWilJXBy+9tPlO8Ysvwttvb/yeXXbJAXjwYDj66I1D8YABee6xUyokSWp1hmapVNasycF3c53il17KF+M1tcceOfyOGAGnnLJxl3jAgDzvWJIktTlDs7StVqxovkO8IRwvWbLx6zt0yPOKBwyAww9/Z5e4psaL7iRJaqcMzVJzUoLXXnv39cSvv77xe7bbLgffAQPgxBPf2SXu2xc6+VdOkqRy5E9wVZ81a3Igfu21PF1i8eLmu8Vvvrnx+7p1awzChxzyzk7x7rt7kZ0kSRXK0KzyVVeXu71NA3BLj197LW8H3Zxdd83hd8iQvA100y7xgAH5IjwvspMkqSoZmlW8lPL64M2F3M0F4H/8Y/O/ZseOOQT37NkYhv/pnxqfNz3Xu3c+75xiSZK0GYZmta7Vq7cs8G76eNMpEk316LFxyN1nn43Db9NzGx53725XWJIktZpCQnNEHAdcC3QEfpxSuqqIOvQu6uq2fLlD0+dNt2XeVNeuGwfb/fZrPvA2DcM9enjxnCRJKlybp5GI6Aj8P2A0sAh4IiLuSik93da1tBspwbp1eSOLtWsbby0935LXbO173norh98VKzZfb6dOG4fcQYOgtrbl7q/j1CRJUpkqooV3IPBsSuk5gIj4BTAGaF+h+bnnYOrU0oXXps/XrWv9+iPyCLTttoMuXRpvzT3v0aPx+Q47tNz97dbNpQ+SJKmqFBGa+wILmzxfBIzc9EURMQ4YB1BTU9M2lTX15z/D+ec3f25rAmnXru9+/r08f7fXdOzYtn9ekiRJFayI0NxcizK940BKE4GJALW1te84X3JjxsD8+QZSSZIkFRKaFwH9mzzvB7xcQB3vrnv3fJMkSVLVK2L7sieAvSNiUER0Ac4E7iqgDkmSJGmLtHmnOaVUFxEXA38gj5y7KaX0VFvXIUmSJG2pQgbgppTuBu4u4rMlSZKkrVXE8gxJkiSprBiaJUmSpBZESm0/zW1rRcSrwIICPno3YFkBn6u25fdcHfyeq4Pfc+XzO64ORX7PA1JKvTY9WBahuSgRMS2lVFt0HSotv+fq4PdcHfyeK5/fcXVoj9+zyzMkSZKkFhiaJUmSpBYYmt/dxKILUJvwe64Ofs/Vwe+58vkdV4d29z27plmSJElqgZ1mSZIkqQWG5s2IiOMiYm5EPBsRXyi6HrW+iLgpIpZGxOyia1FpRET/iPhjRMyJiKci4tKia1Lri4jtI+LxiPhbw/f81aJrUulERMeI+GtE/KboWlQaEfFCRDwZETMjYlrR9Wzg8oxmRERH4O/AaGAR8ARwVkrp6UILU6uKiMOAVcCklNKwoutR64uIPkCflNKMiNgJmA6c4t/lyhIRAeyYUloVEZ2BqcClKaVHCy5NJRARnwVqge4ppROLrketLyJeAGpTSu1qHred5uYdCDybUnoupbQW+AUwpuCa1MpSSg8Dy4uuQ6WTUlqcUprR8HglMAfoW2xVam0pW9XwtHPDzY5QBYqIfsBHgB8XXYuqj6G5eX2BhU2eL8IftFJZi4iBwAjgsYJLUQk0/Jf9TGApcG9Kye+5Mn0XmADUF1yHSisB90TE9IgYV3QxGxiamxfNHLNrIZWpiOgG3A5cllJaUXQ9an0ppfUppeFAP+DAiHDJVYWJiBOBpSml6UXXopI7NKX0T8DxwKcbllMWztDcvEVA/ybP+wEvF1SLpPegYY3r7cCtKaU7iq5HpZVSegN4EDiu2EpUAocCJzesd/0FMCoibim2JJVCSunlhvulwBTystnCGZqb9wSwd0QMioguwJnAXQXXJGkrNVwgdiMwJ6X0naLrUWlERK+I6NHweAfgaOCZQotSq0sp/e+UUr+U0kDyz+UHUkrnFFyWWllE7Nhw4TYRsSNwDNAuplwZmpuRUqoDLgb+QL5waHJK6aliq1Jri4jbgL8AQyJiUURcWHRNanWHAueSO1IzG24nFF2UWl0f4I8RMYvc9Lg3peQ4Mqk87Q5MjYi/AY8Dv00p/b7gmgBHzkmSJEktstMsSZIktcDQLEmSJLXA0CxJkiS1wNAsSZIktcDQLEmSJLXA0CxJkiS1wNAsSZIktcDQLEkVJCIOiIhZEbF9w85aT0XEsKLrkqRy5+YmklRhIuI/gO2BHYBFKaX/KrgkSSp7hmZJqjAR0YW8nfQa4JCU0vqCS5KksufyDEmqPD2BbsBO5I6zJOk9stMsSRUmIu4CfgEMAvqklC4uuCRJKnudii5AktR6IuI8oC6l9POI6Ag8EhGjUkoPFF2bJJUzO82SJElSC1zTLEmSJLXA0CxJkiS1wNAsSZIktcDQLEmSJLXA0CxJkiS1wNAsSZIktcDQLEmSJLXA0CxJkiS14P8DupQ1QwZCnf8AAAAASUVORK5CYII=\n" + }, + "metadata": { + "needs_background": "light" + } + } + ], + "source": [ + "fig, axes = plt.subplots(figsize=(12,3))\n", + "\n", + "axes.plot(x, y, 'r')\n", + "axes.set_xlabel('x')\n", + "axes.set_ylabel('y')\n", + "axes.set_title('title');" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Sauvegarde des figures\n", + "Matplotlib peut générer des sorties de haute qualité dans plusieurs formats, notamment PNG, JPG, EPS, SVG, PGF et PDF." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Pour enregistrer une figure dans un fichier, nous pouvons utiliser la méthode `savefig` de la classe `Figure`:" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [], + "source": [ + "fig.savefig(\"filename.png\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Ici, nous pouvons aussi spécifier le DPI et choisir entre différents formats de sortie:" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [], + "source": [ + "fig.savefig(\"filename.png\", dpi=200)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "____\n", + "## Légendes, étiquettes et titres" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Maintenant que nous avons couvert les bases de la création d'un canevas de figures et de l'ajout d'instances d'axes dans le canevas, voyons comment décorer une figure avec des titres, des étiquettes d'axes et des légendes." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Titres de figure**\n", + "\n", + "Un titre peut être ajouté à chaque instance d'axe dans une figure. Pour définir le titre, utilisez la méthode `set_title` de l'instance axes:" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [], + "source": [ + "ax.set_title(\"title\");" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Etiquettes d'axes**\n", + "\n", + "De même, avec les méthodes `set_xlabel` et `set_ylabel`, nous pouvons définir les étiquettes des axes X et Y:" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [], + "source": [ + "ax.set_xlabel(\"x\")\n", + "ax.set_ylabel(\"y\");" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Légendes" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Vous pouvez utiliser l'argument **label=\"texte étiquette\"** lorsque des tracés ou d'autres objets sont ajoutés à la figure, et ensuite utiliser la méthode **legend** sans arguments pour ajouter la légende à la figure:" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "" + ] + }, + "metadata": {}, + "execution_count": 21 + }, + { + "output_type": "display_data", + "data": { + "text/plain": "
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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ], + "source": [ + "fig = plt.figure()\n", + "\n", + "ax = fig.add_axes([0,0,1,1])\n", + "\n", + "ax.plot(x, x**2, label=\"x**2\")\n", + "ax.plot(x, x**3, label=\"x**3\")\n", + "ax.legend()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Notez à quel point la légende recouvre le tracé!\n", + "\n", + "La fonction **legend** prend un argument optionnel **loc** qui peut être utilisé pour spécifier où la légende doit être dessinée dans la figure. Les valeurs autorisées de **loc** sont des codes numériques pour les différents endroits où la légende peut être dessinée. Voir la [page de documentation](http://matplotlib.org/users/legend_guide.html#legend-location) pour plus de détails. Certaines des valeurs **loc** les plus courantes sont:" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "
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+ }, + "metadata": {}, + "execution_count": 22 + } + ], + "source": [ + "# Beaucoup d'options....\n", + "\n", + "ax.legend(loc=1) # coin supérieur droit\n", + "ax.legend(loc=2) # coin supérieur gauche\n", + "ax.legend(loc=3) # coin inférieur gauche\n", + "ax.legend(loc=4) # coin inférieur droit\n", + "\n", + "# .. beaucoup plus d'options sont disponibles\n", + "\n", + "# Le plus courant à choisir\n", + "ax.legend(loc=0) # laisse matplotlib décider de l'emplacement optimal\n", + "fig" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Réglage des couleurs, largeurs de trait, types de trait\n", + "\n", + "Matplotlib vous donne *beaucoup* d'options pour personnaliser les couleurs, les largeurs de trait et les types de trait. \n", + "\n", + "Il y a la syntaxe de base de MATLAB (que je vous suggère d'éviter d'utiliser pour des raisons plus claires:" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Couleurs avec une syntaxe semblable à celle de MatLab" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Avec matplotlib, nous pouvons définir les couleurs des lignes et autres éléments graphiques de plusieurs façons. Tout d'abord, nous pouvons utiliser la syntaxe de type MATLAB où `'b'` pour blue (bleu), `'g'` pour green (vert), etc. L'API MATLAB pour la sélection des styles de lignes est également supportée: où, par exemple, 'b.-' pour une ligne bleue avec des points:" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "[]" + ] + }, + "metadata": {}, + "execution_count": 23 + }, + { + "output_type": "display_data", + "data": { + "text/plain": "
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r+WTtJ/Rr2U/F7gOVu4iElHOOP079I+O+GcdffvUXbjz7Rr8j1UgqdxEJqafmPcXTXz7Nbd1u4/5e9/sdp8ZSuYtISJ2XdR63ZN/CM/2e0XSMj3TKXxEJibzdeWTVz6J7Rne6Z3T3O06Np5G7iARtbt5c2j7XlpcXv+x3FAlQuYtIUJZvW07/N/uTWT+TAW0G+B1HAlTuIlJlufm59B3Xl5TEFKYOnUp6HZ0nKlJozl1EqqSwpJC+4/qyr3gfc0bMoVlaM78jSQUqdxGpkuSEZO7rdR8tG7Skw8kd/I4jh1G5i8gJKSotYvm25XRp0oXrOl3ndxw5Cs25i0illbkyhr8/nJ6v9mT97vV+x5Fj0MhdRCrFOccdn9zBhOUT+I9f/weZ9TP9jiTHoJG7iFTKo3Me5bmvnuMPPf7A6HNH+x1HjkPlLiLHNf2H6Tww8wGGdhzKk795UqcViAKalhGR47rotIv4W/+/MeKsEcSZxoTRQP+UROSo5ubNJTc/lziLY+TZI0mMT/Q7klSSyl1EjmjplqVcMv4SbvxA52OPRip3EfmF73d9T79x/aifXJ9XLnvF7zhSBZpzF5FDbC3YSt9xfSkuK2bm8Jla8hilVO4icoh7pt/D5oLNfHbdZ7RLb+d3HKkiTcuICOAdpATwXxf/F9OGTdMFN6Kcyl1EeG/le/Qd15fCkkLqJdfj3Mxz/Y4kQQq63M0s3syWmNmHgecNzWyama0J3DcIPqaIhINzjkdmP8KVE69kd+Fufir8ye9IEiKhGLnfAays8HwMMMM51wqYEXguIhFmX/E+Br8zmAdmPsCQM4cwa/gsXWwjhgRV7maWAfwWqHjhxAHAa4HHrwGXB/MdIhIeIyaNYOKKiTze+3H+ccU/qJ1Y2+9IEkLBrpZ5BvgTULfCtsbOuc0AzrnNZnbykf7QzEYCIwGysrKCjCEiJ+qhCx5i6JlDubTNpX5HkTCo8sjdzPoD25xzi6ry9865sc65bOdcdnq6/ldQpDqM+2Yct350K8452qW3U7HHsGCmZXoCl5lZDjABuMjMxgFbzawJQOB+W9ApRSQopWWl3DPtHoa9N4yVO1ayv2S/35EkzKpc7s65e51zGc655sAg4DPn3FBgMjA88LbhwKSgU4pIlf1U+BMDJgzgif97gpvPvpmpQ6eSkpjidywJs3Acofo4MNHMbgDygIFh+A4RqQTnHP3G9WPBxgU8f8nz3Nr1Vr8jSTUJSbk752YBswKPdwK9Q/G5IhIcM+PBCx4kKT6Ji067yO84Uo10bhmRGPTiVy9SUlbCbd1vo9/p/fyOIz7Q6QdEYkhxaTG3fnQrt358K9PXTf/5fDFS82jkLhIjdu7bycC3BjIzZyajzx3NY70f07VOazCVu0gM2F+8n3NeOYfc3bm8dvlrXNfpOr8jic9U7iIxoHZibe7qcRedm3SmR0YPv+NIBFC5i0Qp5xxP/t+TdD6lM31a9uGWrrf4HUkiiHaoikShAyUHGP7+cO6Zfg9vf/u233EkAmnkLhJlNu/ZzBX/vIL5G+fzl1/9hft73e93JIlAKneRKLJpzya6vdSN/AP5vHvNu1zR7gq/I0mEUrmLRJEmqU0Y3GEwQzsOpdMpnfyOIxFMc+4iEa7MlfHI7EdYs3MNZsaTv3lSxS7HpXIXiWAFRQVcPfFqHpj5AOOXjfc7jkQRTcuIRKic/BwGTBjA8m3LeabvM9ze/Xa/I0kUUbmLRKC1u9ZyzivnUFxazMfXfkzf0/v6HUmijKZlRCJIcWkxAFn1s+iZ2ZP5v5+vYpcqUbmLRID9xfv58+d/5owXzqCgqICk+CTeH/Q+bRq18TuahNG8efDYY959qGlaRsRHzjkmr57MnZ/eSU5+DgPPGMj+4v2kJqX6HU3CbNo06N8fSkogORlmzIBzzgnd56vcRXyyp3APA98ayKfff0r79PbMuG6GrpYUw3btgjlz4PPPvduSJVB+uv2iIpg1S+UuEtXKXBlxFkdqUiopiSk83fdpRnUdRWJ8ot/RJIR27IDZsw+W+TffeGWenOyV+IgR8MYb3sg9KQkuvDC032+RcKWW7Oxst3DhQr9jiISVc47xy8bz8OcPM+O6GWTWz/Q7koTQ1q2Hlvny5d722rXh3HPhggu8W7duUKuW99q8ed6I/cILqzZqN7NFzrnsI72mkbtINfh6y9fc9sltzMmbQ9emXdlTtMfvSBKkzZsPFvmsWbBqlbe9Th3o2RMGD/ZKOzvbG5kfyTnnhHYqpiKVu0gYOee4/ZPbeWHhCzSs3ZCXL32ZEZ1HEGdaqBZt1q8/WOaffw5r1njb69aF887zplkuuAC6dIHECJhhq3K5m1km8DpwClAGjHXOPWtmDYF/As2BHOAa59yPwUcViR7OOcwMM6OotIhRXUfx8IUP06B2A7+jSSXl5Bxa5j/84G2vXx/OPx9uuskr87POgoQIHCZXec7dzJoATZxzi82sLrAIuBz4HbDLOfe4mY0BGjjn7jnWZ2nOXWLJvPXzuH3K7bz42xfJbpr9c9FLZJo3D2bOhFatYM+eg2Wem+u93rChV+blc+YdO0J8vL+Zy4Vlzt05txnYHHi8x8xWAqcCA4ALA297DZgFHLPcRWLBloItjJk+hte+fo2mdZuya/8uABV7BCoshMWLYcIEeP55KC09+FqjRl6J3323d9+hA8RF4SxaSP5nwsyaA52B+UDjQPHjnNtsZicf5W9GAiMBsrKyQhFDxDcvfPUCY6aP4UDJAcb0HMP959+vA5EihHPefPm8efDll979kiXe2vKK4uLg9tvhqacgFv57HHS5m1kq8A5wp3Pup8qOUpxzY4Gx4E3LBJtDxE8/7v+R87LO45l+z9D6pNZ+x6nR9u+HRYsOLfPNm73Xatf2Vq/ccYe3SiUhAf7lX7yiT0qCa66JjWKHIMvdzBLxiv0N59y7gc1bzaxJYNTeBNgWbEiRSJObn8vdU+9mcIfBXHXGVYw5bwxxFqcpmGrmnLfjs2KRL13qHRgE0KIFXHQR9OjhlXnHjr9cyTJjRnBrzSNVMKtlDHgFWOmce6rCS5OB4cDjgftJQSUUiSAHSg7w5NwneeyLxwD4dYtfAxAfFyF72GLc3r2wcOGhZb4tMHxMSfEOEBo92ivzHj3g5CNOCh8qnGvN/RTMyL0nMAxYZmZLA9vuwyv1iWZ2A5AHDAwqoUiE+HTtp9zy0S2sy1/HwDMG8tff/JWs+tpfFC7Owdq1B0v8yy+9Q/jLd362bg39+nnF3KOHt+MzEpck+iWY1TJfAEf7f9DeVf1ckUi1c/9OUhJTdIKvMJk+Hd580yvojRu9Mt+503utbl3o3h3uvdcr8+7d4aST/M0b6XRuGZGjyMnP4bkFz5FZL5M7etyBc46SshKd4CsEduzwVqwsXuzd5s71Cr1cs2bQu/fBufJ27SJnbXkk0bllRCqpuLSYyasnM3bxWKZ9Pw2Af+32r4C3Xl3FfmKc81aqlJf44sVeqeflHXzPaadBWhps2uS9Pz7eO/rz3nt9ix0TVO4iFYz8cCR/X/p3Mupl8OAFD3J95+s1r15J5StXKo7IFy/2zpYI3hLD1q29k2rddpt3DpazzvKOAJ03zxuply9JDPXpb2siTctIjVVYUsh7q97jpcUv8eJvX6T1Sa1ZtGkRW/dupW/LvloBcwxlZd6Jsw4fkf8YOItUfDy0b+8VeJcu0LkzdOrkzZ0fTbCnv62JNC0jUsHK7St5afFLvP716+zcv5Pmac1Zv3s9rU9qzdlNz/Y7XsQpLoaVKw8t8aVLoaDAez05Gc48EwYOPFjmZ5558JzllRWrSxL9onKXGmVP4R66jO1CaVkpl7e9nBu73EjvFr11Ct6AvXu98618+KE3zbJpk7f8sLDQe71OHW8qZcSIg0Xerl1knOJWDqVyl5i2bOsyXlr8Emt3reXjIR9TN7kubw18i26nduPkOpU4wiVG7d/vXVxixQrvikErVni3desOfd/ZZ3vz4507e0XeqpVWrUQLlbvEnL1Fe/nnin/y0uKX+HLDlyTFJ3FVu6soLCkkOSGZ/q37+x2x2hQWwurVB8u7vMx/+MGbNwdv1N2mjXd0Z8uW8Nln3mvx8XDVVVq1Eq1U7hIzyi88PX7ZeEZ+OJJ2jdrx1G+eYlinYTRKaeR3vLAqLvZ2cB4+El+z5uARnfHx3si7UycYMsTb4dm+vbetfFpl3jxvzblWrUQ/lbtEtZ8Kf+LNZW8ydvFYrj/rekZ1G8WgDoNol96Onpk9Y+5EXiUl8P33h47CV6yA777zCh68JYctW3qH4191lVfgHTp4yxCTk4/9+eecE7sn0qppVO4SlRZsXMDYRWOZsHwCe4v30rFxx5/n0Osm1+W8rPN8ThicL76A99+H9HRv5F1e5qtWHdy5Cd4BQO3bw6WXHhyJt23rndq2qrRqJTao3CVqHCg5QK0Eb33d3VPvZvHmxQzuMJiRZ4+ka9OuUTdKLy31LiKxZo13gqw1a7zbsmUHL/FWLivLK+4+fQ6OxNu181aviByJyl0i2va925mTN4dJqycxadUk1ty2hvQ66bxy2SucknoK9ZLr+R3xmI5W4GvXejs1K14NqHZtOP10r7DNvKWIcXHw//4fPPywf79BopPKXSJK+U7RuXlz+f0Hv2fVjlUA1E2qy5Azh1BU6rVhJF3t6EgFXn5/tAJv1w4uu8x73KqVd9+0qVfmhx+K36+ff79NopfKXXzjnGP1ztXMyZ3D7LzZzM6dzYPnP8gNXW6gcWpjWjZoye86/Y5ezXpxdpOzSU44zt7AMCg/JL5XL8jICF2BH4t2akooqNyl2pSWlfLjgR9plNKIgqICWv5XS7bt9S6j07hOY3o16/XzSbpOb3g6H177YbVlKynxzl6Yl3fwtmCBt1OzfD14RcEW+PFop6YES+UuYVNYUshXm75idu5s5uTNYW7eXH512q+YNGgSqUmpDO80nDYntaFXs160atgqbDtEnYPduw8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+ }, + "metadata": { + "needs_background": "light" + } + } + ], + "source": [ + "# Couleur et style des lignes de style MATLAB \n", + "fig, ax = plt.subplots()\n", + "ax.plot(x, x**2, 'b.-') # ligne bleue point tiret\n", + "ax.plot(x, x**3, 'g--') # ligne pointillée verte" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Couleurs avec le paramètre color=" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Nous pouvons également définir les couleurs par leurs noms ou codes hexadécimaux RVB et éventuellement fournir une valeur alpha en utilisant les arguments `color` et `alpha`. Alpha indique l'opacité." + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "[]" + ] + }, + "metadata": {}, + "execution_count": 24 + }, + { + "output_type": "display_data", + "data": { + "text/plain": "
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+ }, + "metadata": { + "needs_background": "light" + } + } + ], + "source": [ + "fig, ax = plt.subplots()\n", + "\n", + "ax.plot(x, x+1, color=\"blue\", alpha=0.5) # à moitié transparent\n", + "ax.plot(x, x+2, color=\"#8B008B\") # RGB hex code\n", + "ax.plot(x, x+3, color=\"#FF8C00\") # RGB hex code " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Styles de lignes et de marqueurs" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Pour modifier l'épaisseur de ligne, on peut utiliser l'argument `linewidth` ou `lw`. Le style de ligne peut être sélectionné à l'aide des arguments `linestyle` ou `ls`:" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": "
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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ], + "source": [ + "fig, ax = plt.subplots(figsize=(12,6))\n", + "\n", + "ax.plot(x, x+1, color=\"red\", linewidth=0.25)\n", + "ax.plot(x, x+2, color=\"red\", linewidth=0.50)\n", + "ax.plot(x, x+3, color=\"red\", linewidth=1.00)\n", + "ax.plot(x, x+4, color=\"red\", linewidth=2.00)\n", + "\n", + "# options de types de lignes possibles ‘-‘, ‘–’, ‘-.’, ‘:’, ‘steps’\n", + "ax.plot(x, x+5, color=\"green\", lw=3, linestyle='-')\n", + "ax.plot(x, x+6, color=\"green\", lw=3, ls='-.')\n", + "ax.plot(x, x+7, color=\"green\", lw=3, ls=':')\n", + "\n", + "# tiret customisé\n", + "line, = ax.plot(x, x+8, color=\"black\", lw=1.50)\n", + "line.set_dashes([5, 10, 15, 10]) # format : longueur de ligne, longueur d'espace, ...\n", + "\n", + "# symboles de marquage possibles: marker = '+', 'o', '*', 's', ',', '.', '1', '2', '3', '4', ...\n", + "ax.plot(x, x+ 9, color=\"blue\", lw=3, ls='-', marker='+')\n", + "ax.plot(x, x+10, color=\"blue\", lw=3, ls='--', marker='o')\n", + "ax.plot(x, x+11, color=\"blue\", lw=3, ls='-', marker='s')\n", + "ax.plot(x, x+12, color=\"blue\", lw=3, ls='--', marker='1')\n", + "\n", + "# taille et couleur des marqueurs\n", + "ax.plot(x, x+13, color=\"purple\", lw=1, ls='-', marker='o', markersize=2)\n", + "ax.plot(x, x+14, color=\"purple\", lw=1, ls='-', marker='o', markersize=4)\n", + "ax.plot(x, x+15, color=\"purple\", lw=1, ls='-', marker='o', markersize=8, markerfacecolor=\"red\")\n", + "ax.plot(x, x+16, color=\"purple\", lw=1, ls='-', marker='s', markersize=8, \n", + " markerfacecolor=\"yellow\", markeredgewidth=3, markeredgecolor=\"green\");" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Contrôle de l'apparence des axes" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Dans cette section, nous allons examiner le contrôle des propriétés de dimensionnement des axes dans une figure matplotlib." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Plage de représentation graphique" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Nous pouvons configurer les plages des axes à l'aide des méthodes `set_ylim` et `set_xlim` sur l'objet axes, ou `axis('tight')` pour obtenir automatiquement des gammes d'axes \"bien ajustés\":" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": "
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+ }, + "metadata": { + "needs_background": "light" + } + } + ], + "source": [ + "fig, axes = plt.subplots(1, 3, figsize=(12, 4))\n", + "\n", + "axes[0].plot(x, x**2, x, x**3)\n", + "axes[0].set_title(\"default axes ranges\")\n", + "\n", + "axes[1].plot(x, x**2, x, x**3)\n", + "axes[1].axis('tight')\n", + "axes[1].set_title(\"tight axes\")\n", + "\n", + "axes[2].plot(x, x**2, x, x**3)\n", + "axes[2].set_ylim([0, 60])\n", + "axes[2].set_xlim([2, 5])\n", + "axes[2].set_title(\"custom axes range\");" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Type de graphique spécial\n", + "\n", + "Il existe de nombreux diagrammes spécialisés que nous pouvons créer, tels que des diagrammes à barres, des histogrammes, des diagrammes de dispersion, et bien plus encore. La plupart de ces types de graphiques que nous allons créer en utilisant pandas. Mais voici quelques exemples des types de graphique:" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "" + ] + }, + "metadata": {}, + "execution_count": 27 + }, + { + "output_type": "display_data", + "data": { + "text/plain": "
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+ }, + "metadata": { + "needs_background": "light" + } + } + ], + "source": [ + "from random import sample\n", + "data = sample(range(1, 1000), 100)\n", + "plt.hist(data)" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": "
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+ }, + "metadata": { + "needs_background": "light" + } + } + ], + "source": [ + "data = [np.random.normal(0, std, 100) for std in range(1, 4)]\n", + "\n", + "# boîte à moustache\n", + "plt.boxplot(data,vert=True,patch_artist=True); " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Lectures complémentaires" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "* http://www.matplotlib.org - La page web du projet matplotlib.\n", + "* https://github.com/matplotlib/matplotlib - Le code source de matplotlib.\n", + "* http://matplotlib.org/gallery.html - Une grande galerie présentant les différents types de graphiques que matplotlib peut créer. Fortement recommandé! \n", + "* http://www.loria.fr/~rougier/teaching/matplotlib - Un bon tutoriel matplotlib.\n", + "* http://scipy-lectures.github.io/matplotlib/matplotlib.html - Une autre bonne référence matplotlib.\n" + ] + } + ], + "metadata": { + "kernelspec": { + "name": "python3", + "display_name": "Python 3.7.9 64-bit ('pyfinance': conda)", + "metadata": { + "interpreter": { + "hash": "e89404a230d8800c54ad520c7b67d1bd9bb833a07b37dd3e521a178a3dc34904" + } + } + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.7.9-final" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} \ No newline at end of file diff --git a/04-Visualisation-Matplotlib-Pandas/04-01-Matplotlib/filename.png b/04-Visualisation-Matplotlib-Pandas/04-01-Matplotlib/filename.png new file mode 100644 index 0000000..1e77b7e Binary files /dev/null and b/04-Visualisation-Matplotlib-Pandas/04-01-Matplotlib/filename.png differ diff --git a/04-Visualisation-Matplotlib-Pandas/04-01-Matplotlib/my_picture.png b/04-Visualisation-Matplotlib-Pandas/04-01-Matplotlib/my_picture.png new file mode 100644 index 0000000..265c796 Binary files /dev/null and b/04-Visualisation-Matplotlib-Pandas/04-01-Matplotlib/my_picture.png differ diff --git a/04-Visualisation-Matplotlib-Pandas/04-02-Pandas Visualisation/.ipynb_checkpoints/Pandas Data Visualisation-checkpoint.ipynb b/04-Visualisation-Matplotlib-Pandas/04-02-Pandas Visualisation/.ipynb_checkpoints/Pandas Data Visualisation-checkpoint.ipynb new file mode 100644 index 0000000..93cda14 --- /dev/null +++ b/04-Visualisation-Matplotlib-Pandas/04-02-Pandas Visualisation/.ipynb_checkpoints/Pandas Data Visualisation-checkpoint.ipynb @@ -0,0 +1,842 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "___\n", + "\n", + " \n", + "___\n", + "# Pandas Built-in Data Visualization\n", + "\n", + "In this lecture we will learn about pandas built-in capabilities for data visualization! It's built-off of matplotlib, but it baked into pandas for easier usage! \n", + "\n", + "Let's take a look!" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Imports" + ] + }, + { + "cell_type": "code", + "execution_count": 69, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "import numpy as np\n", + "import pandas as pd\n", + "%matplotlib inline" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## The Data\n", + "\n", + "There are some fake data csv files you can read in as dataframes:" + ] + }, + { + "cell_type": "code", + "execution_count": 70, + "metadata": {}, + "outputs": [], + "source": [ + "df1 = pd.read_csv('df1',index_col=0)\n", + "df2 = pd.read_csv('df2')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Style Sheets\n", + "\n", + "Matplotlib has [style sheets](http://matplotlib.org/gallery.html#style_sheets) you can use to make your plots look a little nicer. These style sheets include plot_bmh,plot_fivethirtyeight,plot_ggplot and more. They basically create a set of style rules that your plots follow. I recommend using them, they make all your plots have the same look and feel more professional. You can even create your own if you want your company's plots to all have the same look (it is a bit tedious to create on though).\n", + "\n", + "Here is how to use them.\n", + "\n", + "**Before plt.style.use() your plots look like this:**" + ] + }, + { + "cell_type": "code", + "execution_count": 71, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 71, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "df1['A'].hist()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Call the style:" + ] + }, + { + "cell_type": "code", + "execution_count": 72, + "metadata": {}, + "outputs": [], + "source": [ + "import matplotlib.pyplot as plt\n", + "plt.style.use('ggplot')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Now your plots look like this:" + ] + }, + { + "cell_type": "code", + "execution_count": 73, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 73, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.style.use('fivethirtyeight')\n", + "df1['A'].hist()" + ] + }, + { + "cell_type": "code", + "execution_count": 77, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "plt.style.use('ggplot')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Let's stick with the ggplot style and actually show you how to utilize pandas built-in plotting capabilities!" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Plot Types\n", + "\n", + "There are several plot types built-in to pandas, most of them statistical plots by nature:\n", + "\n", + "* df.plot.area \n", + "* df.plot.barh \n", + "* df.plot.density \n", + "* df.plot.hist \n", + "* df.plot.line \n", + "* df.plot.scatter\n", + "* df.plot.bar \n", + "* df.plot.box \n", + "* df.plot.hexbin \n", + "* df.plot.kde \n", + "* df.plot.pie\n", + "\n", + "You can also just call df.plot(kind='hist') or replace that kind argument with any of the key terms shown in the list above (e.g. 'box','barh', etc..)\n", + "___" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Let's start going through them!\n", + "\n", + "## Area" + ] + }, + { + "cell_type": "code", + "execution_count": 78, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 78, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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jlHq9Ho9Hn2U4WhHBDuQOWEVRFnZ8U5pIuWEgy4Ul8BNoqgvXdeBUJUjyZPfM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\nexieS8P3aPgepC6p7ON2U1odDU/JilBsWCimha7raGGAFi7irC1mj6M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jLWZfD2VUltmIgXazgzhPrIpyyn2pRXcDztrLIvy+nHYQAKjThrj+y9F5hdid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\nDYk4wYqCZYNPpk2l9axTgoyk5piNZd7wVGXZWCLhyI4lCEr/R044Nfz3j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3XtON8YSAloALRw1p8sb+V6UMWKfp/szKGZqO4V/sjKI5wMPrAjoDalbesQM9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\nngHLDQLjZ7wx5LbUgDBLBmbTPJklHu9nLLg7/FIc43XvRcS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UVVWFTVqAoomrvLwcly5d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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "df1.plot.scatter(x='A',y='B')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "You can use c to color based off another column value\n", + "Use cmap to indicate colormap to use. \n", + "For all the colormaps, check out: http://matplotlib.org/users/colormaps.html" + ] + }, + { + "cell_type": "code", + "execution_count": 85, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 85, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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ubRpfnH+3iWaseO148fuWUahE3dV1XSNpl/oR5YHLv+7LNb91XI6cFKpWs0hS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\nBUApdVZVi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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "df1.plot.scatter(x='A',y='B',c='C',cmap='coolwarm')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Or use s to indicate size based off another column. s parameter needs to be an array, not just the name of a column:" + ] + }, + { + "cell_type": "code", + "execution_count": 86, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 86, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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2oxtxcrfoNXxgfjEblqZnM7lHXLFeNbMwp2/gEOGEQiylUusae1DiEBUFBrSy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\n3j4x8FSkkeBrS/NZ5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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "df1.plot.scatter(x='A',y='B',s=df1['C']*200)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## BoxPlots" + ] + }, + { + "cell_type": "code", + "execution_count": 87, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 87, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "df2.plot.box() # Can also pass a by= argument for groupby" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Hexagonal Bin Plot\n", + "\n", + "Useful for Bivariate Data, alternative to scatterplot:" + ] + }, + { + "cell_type": "code", + "execution_count": 88, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 88, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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6iiq7VV4mitz58Tbc4+kalI2lx7HH9VWu8YQBmDDX/iLGSSRmq8i2jw9YQzAT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\nA1OXZwAAAABJRU5ErkJggg==\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "df = pd.DataFrame(np.random.randn(1000, 2), columns=['a', 'b'])\n", + "df.plot.hexbin(x='a',y='b',gridsize=25,cmap='Oranges')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "____" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Kernel Density Estimation plot (KDE)" + ] + }, + { + "cell_type": "code", + "execution_count": 89, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 89, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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8VNcvLy9n9gVkkmDIpbaCADnz1QgMdj5cfGa0H67ODsWnp2yJ6d+f6cbixADM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\nRAfIDd8ASZ8+wJFjT0OtDVXn2U3uqFgpMmeOTFvx+PHjaG5uZsaWL1+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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "df2.plot.density()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "That's it! Hopefully you can see why this method of plotting will be a lot easier to use than full-on matplotlib, it balances ease of use with control over the figure. A lot of the plot calls also accept additional arguments of their parent matplotlib plt. call. \n", + "\n", + "\n", + "# Great Job!" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.6.1" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} diff --git a/04-Visualisation-Matplotlib-Pandas/04-02-Pandas Visualisation/.ipynb_checkpoints/Pandas Visualisation Exercices - Solutions-checkpoint.ipynb b/04-Visualisation-Matplotlib-Pandas/04-02-Pandas Visualisation/.ipynb_checkpoints/Pandas Visualisation Exercices - Solutions-checkpoint.ipynb new file mode 100644 index 0000000..a3ac790 --- /dev/null +++ b/04-Visualisation-Matplotlib-Pandas/04-02-Pandas Visualisation/.ipynb_checkpoints/Pandas Visualisation Exercices - Solutions-checkpoint.ipynb @@ -0,0 +1,464 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "___\n", + "\n", + " \n", + "___\n", + "# Pandas Data Visualization Exercise\n", + "\n", + "This is just a quick exercise for you to review the various plots we showed earlier. Use **df3** to replicate the following plots. " + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "import pandas as pd\n", + "import matplotlib.pyplot as plt\n", + "df3 = pd.read_csv('df3')\n", + "%matplotlib inline" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "RangeIndex: 500 entries, 0 to 499\n", + "Data columns (total 4 columns):\n", + "a 500 non-null float64\n", + "b 500 non-null float64\n", + "c 500 non-null float64\n", + "d 500 non-null float64\n", + "dtypes: float64(4)\n", + "memory usage: 15.7 KB\n" + ] + } + ], + "source": [ + "df3.info()" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/html": [ + "
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" + ], + "text/plain": [ + " a b c d\n", + "0 0.336272 0.325011 0.001020 0.401402\n", + "1 0.980265 0.831835 0.772288 0.076485\n", + "2 0.480387 0.686839 0.000575 0.746758\n", + "3 0.502106 0.305142 0.768608 0.654685\n", + "4 0.856602 0.171448 0.157971 0.321231" + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df3.head()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "** Recreate this scatter plot of b vs a. Note the color and size of the points. Also note the figure size. See if you can figure out how to stretch it in a similar fashion. Remeber back to your matplotlib lecture...**" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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Uik7fN6QTnN8spL2FAqm5XKKOd3FFRPGyPTfKYRdWzqscVi2x20mDV//20/+t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\nOrZ2deGxev1ieaemcATA1q4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M8X2YI1S7xYftIb3xMm/YbBP+MsxinpZj8umYz4YvAGbG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\nnRSam2l4eDhwyKvBO++ktnw+kkVBtgAapZZOtO8YfWbPwIB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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "** Create a histogram of the 'a' column.**" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "collapsed": false + }, + "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": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "** These plots are okay, but they don't look very polished. Use style sheets to set the style to 'ggplot' and redo the histogram from above. Also figure out how to add more bins to it.***" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "** Create a boxplot comparing the a and b columns.**" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "** Create a kde plot of the 'd' column **" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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EIoLW1lZUVFQgPDwckydP7rNcf99ga2ur/8KHINm9A4iLR1uPAP82djabjePp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\nje29z8f+/fsRExPT73JxcXE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(Note: You would usually not dash a kde plot line)**" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "collapsed": false + }, + "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": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "** Create an area plot of all the columns for just the rows up to 30. (hint: use .ix).**" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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489zQNhk9jyrqOA/Xem5F9ywkGTehKg3Oef/BNC/jrrModGCMQr0ed2AvLQcI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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Bonus Challenge!\n", + "Note, you may find this really hard, reference the solutions if you can't figure it out!\n", + "** Notice how the legend in our previous figure overlapped some of actual diagram. Can you figure out how to display the legend outside of the plot as shown below?**\n", + "\n", + "** Try searching Google for a good stackoverflow link on this topic. If you can't find it on your own - [use this one for a hint.](http://stackoverflow.com/questions/23556153/how-to-put-legend-outside-the-plot-with-pandas)**" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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xQykBwAovgAORs0WWoqEQItX6R/gct65nz12blXERMttBxZMZ7jhrD5WUcqxj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\nL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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Great Job!" + ] + } + ], + "metadata": { + "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": "3.5.1" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/04-Visualisation-Matplotlib-Pandas/04-02-Pandas Visualisation/.ipynb_checkpoints/Pandas Visualisation Exercices-checkpoint.ipynb b/04-Visualisation-Matplotlib-Pandas/04-02-Pandas Visualisation/.ipynb_checkpoints/Pandas Visualisation Exercices-checkpoint.ipynb new file mode 100644 index 0000000..84e6919 --- /dev/null +++ b/04-Visualisation-Matplotlib-Pandas/04-02-Pandas Visualisation/.ipynb_checkpoints/Pandas Visualisation Exercices-checkpoint.ipynb @@ -0,0 +1,475 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Exercices Visualisation Pandas\n", + "\n", + "C'est un exercice rapide pour vous permettre de passer en revue les différentes graphiques que nous avons montrées plus tôt. Utilisez **df3** pour reproduire les tracés suivants. " + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import pandas as pd\n", + "import matplotlib.pyplot as plt\n", + "df3 = pd.read_csv('df3')\n", + "%matplotlib inline" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "RangeIndex: 500 entries, 0 to 499\n", + "Data columns (total 4 columns):\n", + "a 500 non-null float64\n", + "b 500 non-null float64\n", + "c 500 non-null float64\n", + "d 500 non-null float64\n", + "dtypes: float64(4)\n", + "memory usage: 15.8 KB\n" + ] + } + ], + "source": [ + "df3.info()" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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abcd
00.3362720.3250110.0010200.401402
10.9802650.8318350.7722880.076485
20.4803870.6868390.0005750.746758
30.5021060.3051420.7686080.654685
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" + ], + "text/plain": [ + " a b c d\n", + "0 0.336272 0.325011 0.001020 0.401402\n", + "1 0.980265 0.831835 0.772288 0.076485\n", + "2 0.480387 0.686839 0.000575 0.746758\n", + "3 0.502106 0.305142 0.768608 0.654685\n", + "4 0.856602 0.171448 0.157971 0.321231" + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df3.head()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Recréez ce nuage de points de b en fonction de a. Notez la couleur et la taille des points. Notez également la taille des chiffres. Voyez si vous pouvez trouver un moyen de l'étirer de la même façon. Si besoin revoyez le notebook Matplotlib...**" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 6, + "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": [ + "df3.plot.scatter(x='a',y='b',figsize=(12,3),s=50,c='red')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Créer un histogramme de la colonne 'a'.**" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "df3['a'].plot.hist()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Ces graphiques sont biens, mais les finitions ne sont pas extras. Utilisez les feuilles de style pour définir le style sur 'ggplot' et refaire le même histogramme qu'au-dessus. Trouvez aussi comment y ajouter des bandes supplémentaires.**" + ] + }, + { + "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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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.style.use('ggplot')\n", + "df3['a'].plot.hist(bins=20,alpha=0.5)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Créer une boîte à moustache comparant les colonnes 'a' et 'b'.**" + ] + }, + { + "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "df3['d'].plot.density()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Déterminez comment augmenter la largeur de la ligne et faire en sorte que le style de ligne soit en pointillés. (Note: En général, on ne trace pas de kde)**" + ] + }, + { + "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": {}, + "output_type": "display_data" + } + ], + "source": [ + "df3['d'].plot.kde(lw=5,ls='--')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Créer un graphique de surface de toutes les colonnes pour les lignes seulement jusqu'à la 30ème.**" + ] + }, + { + "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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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "df3.loc[0:30].plot.area(alpha=0.4)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Défi Bonus !\n", + "Il est possible que cela vous semble compliqué, référez-vous aux solutions si vous n'arrivez pas à trouver !\n", + "**Remarquez comment la légende de notre figure précédente recouvrait une partie du diagramme. Savez-vous comment afficher la légende à l'extérieur du tracé comme indiqué ci-dessous?**\n", + "\n", + "**Essayez de faire une recherche sur Google pour trouver un bon lien sur stackoverflow à ce sujet. Si vous n'arrivez pas à en trouver, utilisez celui-ci comme indice. - [Lien Stackoverflow.](http://stackoverflow.com/questions/23556153/how-to-put-legend-outside-the-plot-with-pandas)**" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "image/png": 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Volume\n", + "Date \n", + "1970-01-02 0.209761 2825604.0\n", + "1970-01-05 0.213316 2210449.5\n", + "1970-01-06 0.214501 1951168.5\n", + "1970-01-07 0.213316 2728768.5\n", + "1970-01-08 0.213316 2242404.0" + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "mcdon.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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YF8xDTaq+Tz8l2nb++S7Qp4p9ckb28bbck+0qPk9g3Pq9oClknA98SZxf4W1r\nop+iVUVV7iJvNwAbl/oWjq8q1fsLTH/J/hs+jOyQzvB0h4rTtqyyp8ZusUo67mOY6E2Yk+HlPdu6\nJvr44554SNQlu8K+7DHWiXaG+KIPg1e91bfq28ik5VMTW379QljyWUpCqeD50ypPS6AqeS9I7iEZ\nGtqgtMSeboeXZsU5G0i2SZTkwPoqdP2OZ/abtjv0vLGu6yBRjuHa+bG3JQLr5tn/F0+uOG/NHFuP\nObCu7QK+Y2Pk3rSxknbxtvL/Q4l35XQ7xk0qqtS8bPOxFvB4Sz92Fn3WR3dVvElFrOExvA7TXFVv\nXQq/fGd7w1YXyTShTUNTRlbPrtLqmUvu4UNgpkp4dUC6x6/57hV7un1/g4r1q4mOix1OhJT+YI25\n2o5n8/al8OKZsZd9LkI7/ApcJcpQXe3AujA6bCyQVd/Dw00Tb8FR4cKuc0xePc92uAkNseunZHsl\nRhNpZMUy14ia4WOdhxT+WLX9psL8sfDC78p7w1YHydwXIFpDiADJXHIvizJAVjivY4e7LfvSJo9f\nZuLrbcEStWNjxdEm3XeScY93AcnVl6aj9AB2UKlo1nlIMPOj3FT4h5FRpr8VfVslxfDezWHLh13Y\n3bExNUk9JOpxj/AZe7AxrPgm9vaeaFW52WCouvDRZrbaY/ow+F8vWz/87gB49reQU8VLZjrOT1bL\nYLWMhw/WD2/Z0dKWfuEtiYT85FzoW/I55DpfgGijLabS5PsqPl871zY3LCtzJXenVJZo64HFk4LR\n4uDZTv5vM/y4uc0fBzNeKn8efiZWWlyxp+WMl+wPfbJNReeNsa1a3PuPltzXOsu5+y4UbYaXzoq/\nn6djjK//43u2kPDzx7baY+YrtppryafxtxvLy2dXbX0VaMFsLbP5F5jxYnmnhvf/bkuP/d6HJp3j\nrx9q3VK8HWrk2/+9fLmNiV+aibdM0WbbzLFuo8hVT18+FnnIgGTGRVmRwqZ/4db9CHn56dtfVGHJ\n3JRhCwrO9PA6/U8fsI9FW2C/+ontqmiLva2g21t94R+Regw7FrxXeR0/VbXJq6reEqhWDuYF1ZEX\n2aFJQ52cQtUCGyPcScXNGNuLcKdrhMXQhcs9rWJiHBz3F2fac5EHKQq/IUC4506BJ1rb/yN18ok2\nFkwiXb9Dvh6c+DrJerZT5WZZyarScKZhP6xlpXBgk+iLFzv9CbYU2DHwNyyOfrGvtATeubK8RcLu\nHZGXCy9CY11hAAAU0UlEQVS5u3/s37zYe5VjUvRWlMqbzCX3WOOLr3aSaninlHlhdbcjLqrYZvb7\n4bYXYaSmTbE6C4U81sKOB/HGX+DDO2Bol8rLRLojfIX5zjWCVLZk2Vut/qHyWdOq78rvQhXL0K62\nwPD08fZi34bF8PnDtops3hj7g7P8K/vj/c6Vsbflbvrn9Q4+fglCVZzKnGgFjgiCWS0TzWLnXo81\na9vn4XdWD3Wrdt8dZlqCA4aN7BP7h8frRczBHb0tl2Cvs73a86fCn16qOC2ZYVzB3rR76RQ7hk+o\nEBH63MQbzXKxa9yf0ddUjimVKt2wWe1VJt7jedEMJvdkuz3HSK6hji7uZcJL8fFaUcS98KqnxRmV\n7EBX4UJVfu6zw1CTw3Xz7V2EQmPUx7J+YXlPU6UCJJh17slaHGEkRXcpfPVs+G+8G1TESd4lxdHr\njJO9Z6gPt9Taa/jV6inSNY7PHij/f+RF1fe2j3uj3FrQrg/UPzb+snuJDJbcq9DtHpLrAefHiG5T\nHo4+74FGVd++im30Vanbtjvhr1+Yuv0o/93tnLVvLihv0LCXy1zJPd5ojLGUlVbsAef14uWoBG+M\nq5QKpmZRrrXUbQQ3zbEl+b1c9auWKVxY+a5Kgztq1YZSQXV7jKGrvQol64OOsqNoXvxW9BvIH9A4\ncl+Um2OMgdSwY+wmtdVQ9Uvus0f4dMs4pVRM+QdA13/A8ZdWbTv7HJDY8jX3s48t/wDHOaOD7lvP\nJuerXQPI9RwafRvnhHUKPLAJ1G0IN0ZpunrVJLg+QqfA027zHLYnR6bv4nv1S+7TX8h0BErtHe5Y\nDl1vhz88lfw2ej6f2PKn/h8MmA2Xfwx/fAHO+o+d3qKHTc75+5cvW6Nm9O0c7+qL0O99uMIZ+fGg\noyov2/nv9jFvn4rTm3aB0++C6+OMDZSIyybYeCL5o5PbjvqdL7uqfsldqequ652ZjiBxl30I5w0q\nf94vxi306reEm+fZv3a9K86r3SDyOgAHHQ1n/AtqHwyNO9nhLvY5wJbYz47RkKFhjD4lteraIUv2\nc+33/GfL/x+4Gbq52o53cm70ctMc+Ktzq8sGx9rlutxRvtwtMRpnNHBd0D24BVwT1oGySWe4YyVc\n+h7c7bqJeds/2/30HWtb/lSRJvdsFq0Ose1f/NtH+4sh1ylB7d+w8vx2F9kvSaIluGx2kjOw2aFt\noeXvK8678Xvo/Yb9v9tAuMo1ONihMe7MdUyMm25cMRF+d1fkeRcMsXXid62xCa3/TJvIL/+44nJH\nngwdLyt/3uQUm4iujND8+Lqv7IXNuq7WYxcMsY8nXWfXO7i5fX6LqzHExVGG9qjbEHLzIs+7cRb0\njXInqP4zI1fDHHcx/LMQ7o5wB6az/mMT9wGNywcdDOlyu30//r7AjlN0jDMU9lFdy++mBXD9VLht\nqa3SuuIjOCzCsB35+0PTUyvvI6TnEDj3scjzPPLUFFJEegBPArnAMGPMg2HzxZl/DrAD6GeM+a5K\nkamqGzDbdsb58I7yGxKcMgDO/HflYXKTdf4zcIFTEnrlvIp3rfpnYcVT56mDy+/SdMpN8JWrJOjW\n6To7wmKit/67ZgrMHR19u+l0+t1w2i12eIKhXe20bvfCpuWQX7diMoDyBgE5NeDYcyvPB3va3uDY\nyI0HOl0HvV6x73W9Y+C4vvDIUXBkZzjiBPt3SGvbfv/Sd+09c8G+P6E68QMa28eDj4n+um6aU7GT\nYKOO0KGfHakyJNJtKdv3gYbHQ71m9vlf37GDrO3XAG6aa+9LWu/o6PuN5qCm0efFeh3RqnRya0Qf\nYC4nx76GkL8Mt0NRnBVhvKh9D7JVWu5lo3XAPPO+yD3V219sR7b97Q327GTRxIRuuiImzihjIpIL\n/AScCRQA04E+xpj5rmXOAW7AJvdOwJPGmJhjwXY8PNfMuHo/z4GmhPsLtGpW5LFkqoNadWGX81ru\n3mC/4M27QzPXTTY+vBNm/c+W0kRsZ6ClU2D4Hytu62/fwjMnRt62W/4B5SW0kBXT4JN7ynt9hieo\nrWvs+D3nPgYnXGnvd3pgExjhOpOo2xhunmMHgfv5E6jfwg53m5dvE0PoFDpSgnPv77ULyofEvX4a\nNGgJu7bZweFiDa8brufzMMa5qcjlH5cP39tvAhzRyY5r88k9MPsN6PNm+Ws5b1B5SXfWG9DibNgn\nxg3Ih3a1PwT/XAc1wprxhV7rgNn2eJWW2J66OTn2LljF2+CIE8O3aMe1r1m78vbAJuPFk+FPL1f9\nHsHG2BFQN62wnQYbeRx6I9t8cLu9GHxGCht8DKyL3LtlpjEm7kH2ktxPBgYaY7o7z+8EMMY84Frm\neeAzY8wI5/lCoKsxJurYqKlO7qub/5XDfhoecd7PJz3Irw27snufir/Qh/w8kmO+uYv1R55Dze2r\nyd+6nLXN/sKOus1p8dXNrD+iO7V2rKbmjrXU2lk+guTydn/nyNmPR9zXV39dzGE/vsxRM+5nTrf/\n0ezrW8nfvooZF3xGx7FdI65TkleHGrttb9dd+x7Krn0PY8HvhgGGWtsKKK59GIf8PJIjZ9uOXDP/\nMJEO47vt2Z9XOSVFnDyyNdsObM3Pv32YojpHUlZjH/J2ridv1wbqLf+ADY3PZp+tSynLqcmvjU4n\nb+d6GiwZzS+troo69PEpw4/m18M6M/+MV70F4gyjnLezkJKa+2M8tFE+flw39tlq7yE7rdd3IDmU\n1qyzZ/4xU2/jkCXv8EP3t9lav3Iyr1P4HTV2/QrkUGv7Lxw9/R6+6TWT3N1bqbfiY2rs3sLK31yP\nya3FAaumsP3AlpU+L5Hkb1lK86m3MOfMNzy9Di/qLxlLs69v4+vec3zbpqq+Ojer71ty/xPQwxhz\npfP8EqCTMaa/a5n3gAeNMV86zycBtxtjZoRt62rgaoDDDm3Q4fzLruHTsvbUYScX5U5CxPBWSVdW\ncxDtZAn7ShG5lNFICnkg70UA+hXfSj22MqWsDYUcwKN5zzOv7EheLo124wEDCI1kHbtNDTayP7uT\n6Jhbi2J2kUeoh2xNdlNCLmXOZYt9KaIOOygll2Jy2YKXHy6DYDARLn1ckTuBpeZQJpdFL2XmUUIO\nZeyiJp1z5jCzrBk7SWzM9dNzvmN22dFswL9+AvuzjZ3kJ3WcvcqhjNNzvudQ2cjw0sq3AdyHIs7K\nmcG4Mg/j/ytVjSx/6LzgJXe3lm3am1fHT442WymlVASdjqrnKbl7KVr9Ahzhet7ImZboMhXUrlWD\nE5se5GH3SimlEuWlKeR0oJmINBWRmkBvYHzYMuOBvmKdBGyOVd+ulFIqteKW3I0xJSLSH/gI2xTy\nJWPMPBG51pk/BJiAbSmzCNsU8rJo21NKKZV6nq54GWMmYBO4e9oQ1/8G+Ju/oSmllEqW9lBVSqks\npMldKaWykCZ3pZTKQnHbuadsxyKFQDKj+B8MRBjxJyOCFAsEKx6NJbIgxQLBikdjiSw8liONMXG7\nS2csuSdLRGZ4acCfDkGKBYIVj8YSWZBigWDFo7FElmwsWi2jlFJZSJO7UkploeqY3GPcODHtghQL\nBCsejSWyIMUCwYpHY4ksqVi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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Not Good!\n", + "mcdon.plot()" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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MFzd+cSFd7xxSb2q2QEncy6QC+949lCUFW+k3egmXvzkp4ixAs+P0Aoh1s0tk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\nAy8AT7tVRB+7J50KEWmKM2F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Volume'].plot()" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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kJDnm+BUAAACIgfd/MDts++p7zu7YQhAWIRkAAKAD7Dtaoa886R01njKkp4b0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\nUCdZRESkRczM0m6DLC6qmfR0dCdZhZXMzAbjrfJ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Close'].plot(figsize=(12,8))" + ] + }, + { + "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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G/1rH/Dsk3RGveAAAAND6BZZ89O+aow5Z6XXOCTRtZOgqd0Mls1sIAAAAEFOBiXNaikmS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\njB4AAAAASUVORK5CYII=\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "mcdon['Adj. Close'].plot(figsize=(12,8))\n", + "plt.ylabel('Close Price')\n", + "plt.xlabel('Overwrite Date Index')\n", + "plt.title('Mcdonalds')" + ] + }, + { + "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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jAQAAgIAcTt/zQJuDNBSSR/fNCvnzm1xl2Vp7WYDmvzbS/z5J94VSFAAAADo276kUA7ql\nKTMlsdE+3qaP8h91DlY4VrcAAAAAwso7ACfEGUnS7y84JmAf72XhHr10rH5y0qCQP5+QDAAAgKjj\n8Aq+tfOLr5w4wKdPbY6u8pqbMWlIN8W5Q3UoCMkAAACIOt7bTzf0El61OxxX1tSF5E4BpmW0BCEZ\nAAAAUcd7CkVCfOCR4VP+9xNJUpU7JN85/WilJMaH5fMJyQAAAIhqTS3nVjvdIjOlyTUpmo2QDAAA\ngKhy4Eilvtp+2HOe2MBIsiQt33ZQldWuFYeTEsIXbcMXtwEAAIAwuOipJdp6oG6/un3FlY30/VwX\njO0tSUqKD89UC4mRZAAAAEQZ74AsSZsKjjTa/61vdktqfMQ5WIRkAAAAxIRwTrcgJAMAAKDdObpX\nJ782QjIAAAA6pJREV3w9fmBXv2vJvLgHAACAWFRUXt3o9Q9vnaLNhaWa8+0ev2u8uAcAAICYNH/N\nPr+2By8a5Tnu2yVNJw/L0T/zd/j1Y7oFAAAAYtLCdQV+baeP6NmsewnJAAAAiElb9pf6tXVNT/Jr\nu27yQL82QjIAAABi0vjcLj7nWamJAfvdftZw3Xr6MJ+2pCa2rw4GIRkAAABRIyPFd12J743pFbBf\nckK8bjl1qB76wWhPG9tSAwAAICZV1TglSeeO7qWjembqximDG+2f4LXLHkvAAQAAICb95dMtkqQ/\nX35cs/rHx9UFY6ZbAAAAAJIS4upGkuO8jkNFSAYAAEC7lRjG0WNvhGQAAABEhUBrJDdlUE66JOnK\nif3DWgtzkgEAABAVrn3hS0nSOaOat3mIJA3OydDCX05V/65pYa2FkAwAAICo0jnNf/OQxgzMTg97\nDUy3AAAAQMTtPlzuOe6SFngDkbZESAYAAEDElVc7PMdJ8fERrMSFkAwAAICI817KLZw757VU5CsA\nAABAh2dt3TEhGQAAAJDklZEJyQAAAIAkWa+h5ORW2iAkGJGvAAAAAPAyZXhOpEsgJAMAACDyaseR\nH5sxVj06pUS0FomQDAAAgCjg/eJeNCAkAwAAIAq4UrIxpol+bYOQDAAAgIirHUmOjohMSAYAAEAU\nqJ1tESUDyYRkAAAARF7dSHJ0pOQmQ7Ix5jljTIExZpVXW1djzHxjzEb31y5e12YZYzYZY9YbY85s\nrcIBAAAQO6xnTnKEC3FrzkjyC5LOqtc2U9ICa+1QSQvc5zLGjJA0Q9JI9z1PGmPiw1YtAAAAYlK7\nm5NsrV0k6WC95vMlveg+flHSBV7tr1prK621WyRtkjQhTLUCAAAgRnlCcpSk5JbOSe5hrd3jPt4r\nqYf7uI+kHV79drrb/BhjrjfG5Btj8gsLC1tYBgAAAGJBWVWN+yg6UnLIL+5Z10bbQS//bK19xlqb\nZ63Ny8mJ/NaDAAAAiJwH562TJK3eXRThSlxaGpL3GWN6SZL7a4G7fZekfl79+rrbAAAAgAbtOlQu\nSdpbVBHhSlxaGpLfkXS1+/hqSW97tc8wxiQbYwZKGippWWglAgAAINaVVjkkRc+c5ISmOhhjXpE0\nVVK2MWanpN9Imi3pNWPMdZK2SbpEkqy1q40xr0laI6lG0k3WWkcr1Q4AAIAYUVReLanuBb5IazIk\nW2sva+DSqQ30v0/SfaEUBQAAgI4pWkaS2XEPAAAAETeke4Yk6dLx/SNciUuTI8kAAABAa8vtlqak\n+DiNG9Cl6c5tgJFkAAAARNyRyhplJEfP+C0hGQAAABF3pLJG6cnxkS7DI3riOgAAADqcrftLtf9I\npUorHcrtFj3RNHoqAQAAQIcz9eGPJUk5mcnKTImeaMp0CwAAAERcRZVDKYnRM92CkAwAAIA2U+1w\n6nf/WaNDpVXasK/E015SWaPE+OiJptEzpg0AAIB241BpldbvK9HEQd2a7FtV49TMN7/VzdOGaPXu\nYj332RYdLq/Sm1/t8umXEBclO4mIkAwAAIAWOOPRRSosqdRJQ7P10nXHN9o3f9tBvfnVLu0+XK4r\nJw6QJFVUO/z6JUTRSHL0VAIAAIB2o7CkUpL06cb9en/13kb7/mXRZknS0s0HVVpZI0kqqajx6/fJ\n+oIwV9lyhGQAAACE5IaXljd6PX/rIc/x/7yx0q+t1oqdReEtLASEZAAAAIRsU0FJg9d+cfowv7by\nANMtjuqZGdaaQkFIBgAAQFAqa/wD7h/nb2ywf0Yz1z+Oj6IX9wjJAAAACMrLS7f7te0uKm+wf3Oj\n77Th3VtYUfgRkgEAADqo/6zYrfdW7gn6vnvfXePXdubIng32t818bqBpGZFCSAYAAOigfvbK1/qv\nv3+lorLqFt1/+1nDtfzO0yRJn393oMF+1jYvJjPdAgAAAFHjoqeXyFqrtXuKg7ovMyVRXdOTJEmf\nbCj0ufb3L7Zp3irX0nDOZmTkpChaI1kiJAMAAHR4mwqO6O9fbNfZj32qOd82Pv3ib59v9RyP6Zsl\nYwKP/v7636t048uupeGczRhJ7t05pdn1tgVCMgAAAHT326skSd/uOtxEv9WSpFOP6q7RfTtLkvp2\nSdWFx/Xx9Km/m96+ooqAz/remN6e49Sk6NoIOrqqAQAAQJuoH2Rrp0R8tc1/k49AFqyr2x0vOSFO\nlTVO1Tic+v2ctTpjRA+fvo9/tMnn/Okrx2n7wVJdmtdfq3YVacv+Uv3+gpEt+C5aDyEZAACgAyqv\n8l/rWJK+3HpIDqeVw2mVlBCn177coRMGd1O/rmkNPispIV6V1U59seWgXliyVS8v3ea5NvWhhZ7j\n5XeepsSEOHVKSfS01b6rl5Va1xYNmG4BAADQAVUE2BCk1vlPLNawO9/Tkcoa3f7Gt7r6+WWNP6va\noY/W7VONezi6xutNva0HyjzHCfG+AVmS4txzmpvzcl9bIiQDAAB0QCc88FGD11btcq1ycfZjiyRJ\nmwtLtWKH71zlx2aM9Rxv2V8qp5Xe+npXo5+ZlhTv11b73l9zXu5rS4RkAAAABLTjYN0ueuc/8Zl2\nH64775KW5Nf/302E5MQAy7wZ9358UZaRCckAAAAdjdNrbsPDF49p9n2TZteNPh/bv7Pn+OZpQ1pc\nS+1IMiEZAAAAISsqq5ajhRN5vecjn15vJYrmyvSaW9wl3X9UublqV8LIzmj5M1oDIRkAAKCdKauq\n0ZjffaAH5q5t0f0V1U5J0mlHd2/RqhI3TBnkc96nc2qT97x2wwkB2//7tGHKv/M0de/EZiIAAAAI\nwRebD0qSnl28RXe9tUpVNc6g7q9dI/m0o1s2inzB2D4+56mNvJBXa3iPzIDPioszys5IblEdrYmQ\nDAAA0I5Ya3XtC196zl9auk3/zN8R1DPK3SE5JdEVbl++7ng9f814bXngnCbv/cNFo3V0r04+bScP\nzdYDF47yaeta/8W+wLtXRy1CMgAAQDtSUFLp13bXW6v02ab9zX7GodIqSVJKoisKTh6arWlHdZep\nP/wbgCPAG3bGGF02ob9P2wH3Z9T1aXZ5UYGQDAAA0I4cqawJ2H7Fs180+xk/e+VrSdLhsuom+z56\n6VhtnT3dc97S9YzbWUYmJAMAALQnwc4/ru8fX2zXnqIK17Mc/s966orjdEleX8/5+WN7S5JG9cmS\nJA3MTm/42T853nM8OMe3X3NGqaMJIRkAAKAd+eP8DQ1ea2iU2Zv3ihgXHdfX7/rZo3rpDz+oWzu5\nNty+c/OJWvjLqZo0OLvBZ08anK3EeFf/n071XTvZRttCyE0gJAMAALQjH6zZJ0m6JK+vxvTr7HPt\nmN+83+T9JV5BOj05ocF+n808Rfl3nuY5N8Y0Oopc674LRikzJUHpyb4rXjhDGwBvcw3/ZAAAABC1\nRvTqpBumDNap//uJp6056xU3V0ufdcn4frpkfD99u/OwJOnc0b00vEemstKCX485kkIKycaYX0j6\nsSQraaWkayWlSfqnpFxJWyVdYq09FFKVAAAAkCQN6JambQfKdPaoXn7rC/ft0nSwPWNED89odGsa\n3bez3vivSRrbr7Pi49rXfGQphOkWxpg+km6RlGetPUZSvKQZkmZKWmCtHSppgfscAAAAYdCnc6rG\nDeiiHp1S/MJnoDD62ab9+vsX2zzn+4+4lpCrnTvcmsYN6NIuA7IU+pzkBEmpxpgEuUaQd0s6X9KL\n7usvSrogxM8AAACAW2mVw2cu8WyvTTxqHL4vx73w2RZd8ewX+vW/V3naCo9UasqwHK2+56zWL7Yd\na3FIttbukvSwpO2S9kgqstZ+IKmHtXaPu9teSS3b7xAAAAB+SitrlOH1UtyMCf01rEeGpLqd9Gr9\n9j9rfM6ttSosqdTwnplKSmD9hsaEMt2ii1yjxgMl9ZaUboy50ruPda31EXC9D2PM9caYfGNMfmFh\nYUvLAAAA6FDKKmuUluT7WtkL106QJA3rkdnovQdKq1RR7VRcO1uzOBJC+RXiNElbrLWF1tpqSW9K\nmiRpnzGmlyS5vxYEutla+4y1Ns9am5eTkxNCGQAAAB3DB6v3andRhdKTfJdX6905Vbnd0lTtcMpa\nqz/O36DtB8r87n8tf4ck6fnPtrRJve1ZKKtbbJc00RiTJqlc0qmS8iWVSrpa0mz317dDLRIAAADS\n9S8tlxR4feOkhDhVO5z6esdhPbZgo978eqdfn0UbXP/3/keTB7ZuoTGgxSHZWvuFMeZfkr6SVCPp\na0nPSMqQ9Jox5jpJ2yRdEo5CAQAA4BIoJCfGu0LynxZslCTtOFjuc33p5gNauvmgJOmmaUP87oev\nkNZJttb+RtJv6jVXyjWqDAAAgDCZu3KP5zit3nQLSVq7p1irdxfr7nNHaOF6//e9lnx3wHNcf7oG\n/PFaIwAAQDvw8fq617zSk/zHOZ3upRJqd7rL7Zbmc/1x9wiz5NpiGo0jJAMAALQD763a6zlubMe8\nt77ZLUna6n5xr2+XVCXFE/mCxU8MAACgHSipqPEcTxmW3ez7dh0ul9NaXTyub2uUFbMIyQAAAO3A\n1OGuJXNnXzhKVxw/wO9657TEgPf96MSBclirihpnq9YXawjJAAAAUeypj7/T1IcWKicjWb2yUjRj\nQn/FxfnPKT55aOB9J4b1yJC10n9WuKZhnDu6V6vWGysIyQAAAFHswXnrtPVAmTbsK9GB0qoG+/3h\nB6MDttffne/Plx8X1vpiVUhLwAEAAKBtrNhZ1Oj1lMTAy7p5LxfXLT0prDXFMkaSAQAAYsylef08\nx90zUzzHjY1EwxcjyQAAADHm7u+NUOGRSj140WhlZzB63BKEZAAAgChkrdXTn2z2aevTObVZ96Yn\nJ+i5a8b7td9z3siw1NYREJIBAACi0IHSKj04b51P20lDG18feemsU5UY3/BueicO6RaW2joCQjIA\nAEAUqnHYoO/pmZXS6PX6K12gYby4BwAAEIWqAmz+4XAGH5wl6cyRPSRJGSmE5ObiJwUAABCFqhz+\nIbk6QFtzPHjRaF09qVidUgLvygd/jCQDAABEoTvfWunXdt3kQS16Vue0JE0a3Ph8ZvgiJAMAAESh\npZsP+pzfOGWwRvXNilA1HQ8hGQAAIMpdMylXt50xLNJldCiEZAAAgCh36fh+SowntrUlftoAAABR\nKD0p3nMcZxpe+xitg5AMAAAQhapbsE4ywoeQDAAAEGUKiit8loCzIjC3NUIyAABAFKmscWjS7I8i\nXUaHx2YiAAAAUWT4nfP82vp0To1AJR0bIRkAACCKZGcka/+RSknS6nvOVHoycS0SmG4BAAAQRU4f\n0cNzTECOHEIyAABAFNlTVB7pEiBCMgAAQFQ5VFatUX2y9PmsUyJdSofGGD4AAEAEPDJ/g3plpeiy\nCf192lfsOCxJ6pXFy3qRREgGAACIgMcXbJQkn5DscLIecrRgugUAAEAbW7iuIGD7G8t3tnElaAgh\nGQAAoA05nVbXvvBlwGu3v/GtJOl/Lx7TliUhAEIyAABAG/p884Em+xzbv3MbVILGEJIBAADa0BXP\nfhGwfVNBiec4MZ6IFmm8uAcAABBBX20/pD2HK3TTP77ytPXKSolgRZAIyQAAABF14ZNL/NoSGEmO\nOP4EAAAAIuCTX00N2L7sjlPbthAEREgGAABoAzsOlukHT7lGjccN6KIB3dJ1wqBufv26d2KqRTQI\nKSQbYzptLi5jAAAgAElEQVQbY/5ljFlnjFlrjDnBGNPVGDPfGLPR/bVLuIoFAABorx56f73ytx2S\nJC2v9xXRJ9SR5MckzbPWHiVpjKS1kmZKWmCtHSppgfscAACgQ9tUcMRzfN/3j5EkVTmckSoHTWhx\nSDbGZEk6WdJfJclaW2WtPSzpfEkvuru9KOmCUIsEAABo79bsKfYcn3Z0jwhWguYIZSR5oKRCSc8b\nY742xjxrjEmX1MNau8fdZ6+kgP8WGGOuN8bkG2PyCwsLQygDAAAg+k0aXDf/uHtmsiSpZ735xxMH\ndW3TmtCwUEJygqTjJD1lrT1WUqnqTa2w1lpJNtDN1tpnrLV51tq8nJycEMoAAACIfku+c+20t2Tm\nKTLGSJIyU1yr8Q7rkaEVd5+hF380IWL1wVcoIXmnpJ3W2tptY/4lV2jeZ4zpJUnurwWhlQgAANC+\nucYNXXp3TvUc33PeSPXpnKq3b5qsrLREJSfER6I8BNDikGyt3StphzFmuLvpVElrJL0j6Wp329WS\n3g6pQgAAgHbu8QWbArZPGpKtz2aeotQkwnG0CXXHvZ9J+rsxJknSZknXyhW8XzPGXCdpm6RLQvwM\nAACAdu2PH26QVDe9AtEvpD8pa+03kvICXGKrGAAAAPlOtfjhCQMiWAmCwY57AAAAYVZZ49Dcla7F\nvu7490pP+yV5/SJVEoLEmD8AAECYDb9zniTpJycN1CvLdnjaB3RLj1RJCBIjyQAAAK3kL59uiXQJ\naCFCMgAAAFAPIRkAAKAN3HDyoEiXgCAQkgEAAMLIezULb7POObqNK0EoCMkAAABhtHzboUiXgDAg\nJAMAAITR4k37I10CwoCQDAAAEEaPfrgx0iUgDAjJAAAAraBnp5RIl4AQEJIBAADCpLSyxnM8tl/n\nCFaCULHjHgAAQJjsK66QJD188RilJsZr3uq9evKK4zR5aHaEK0OwCMkAAABhsq+4UpLUKytFJw7J\n1vTR0yNcEVqKkAwAABAGd7+9Sn/7fJskKSczOcLVIFTMSQYAAAiD2oAsSV3TkyJYCcKBkAwAANBC\nL32+VVMeWqjKGodPe5c0QnJ7x3QLAACAFrrr7dWSpOF3zvO09c5KUXyciVRJCBNGkgEAQIez42CZ\n5q7c0yrPfu/nJ7fKc9G2GEkGAAAdzpSHFspppa2zw7/6RFZaYtifibbHSDIAAOhwnNb1dezvPlBR\nebWn/dudh1VcUd3AXb6stX5t7/5scljqQ+QRkgEAQId1uKxaY+75wHN+3p8/07mPL27WvVUOp1/b\nMX2ywlYbIouQDAAAIGncvfMlSdsPljWrf0W1b0j+8tenhb0mRA5zkgEAQIdXWFKpA6VVQd1TUe1a\n9i07I1m/OH0oG4jEGEaSAQBATNl5qEyllTVB3WPlP7/Yc81a/WXRZh04UunTXl7lCsl3nHOUrjh+\nQPCFIqoRkgEAQEyZ/OBCXf6XpY32SU+K9zmPMw2va7x6d7Hum7tWt72+wqf9vrlrJUmpifGBbkM7\nR0gGAAAxo3bFiRU7ixrtd3SvTj7nTmfDI8lO9zMLin1Hkuev2SdJKqty+N2D9o+QDAAAYka1I3DY\nrah26IfPLdOqXUWy1vot81bdSEiudq9iUVJZrdnvrfObytGnS2qIVSMa8eIeAACIGRU1gUd1/7p4\nixZtKNSiDYW6+oQB2rDviM/1qhrflSrytx5UXm5XSdJnmw5IknYcLNfTn3ynzJQE3TRtiKfvxEHd\nwvktIEowkgwAAGJGRQNTHx56f73n+MXPt3mOJ7iD8N6iCp/+P3j6c8/UjUfmb/C5lhhvdONLyyVJ\nJw3NDr1oRCVCMgAAiBlfbT/sOd51uLzRvr2zUnTGyB6SpN++s9rveqDNQiRpc2Gp5q3eK0lau6ek\npaUiyhGSAQBAzFi7p9hzfKiJdY/3FFcoPs61qsX6ff5ht6LKFZIvP76/T/urX+7wHP/fVeNaXCui\nG3OSAQBAzNhUUDfXuNBrXeOjemZq3V7fIBxnjBLiGl767a63V+mdFbs1pHtGg33GDegSQrWIZowk\nAwCAmHDN88s0Z+Uez/m1z3/pOS6p8N9c5LlrxquwxHdZt/G5daH3nRW7JbmCd49OyfrPzZN9+iYn\nEKNiGX+6AAAgJny8vjBg+46DZdp1uNxv2+gpw3J0qMx3Kbizjumlaybl+j0jIS5Oo/pm+bSdN6Z3\naAUjqhGSAQBAzFq9u0gn/WGhJOmy8f00fVQvSdIPxvWVJM+c5FozxvcLuGJFoJcAp4/uFe5yEUWY\nkwwAANo9a62G98j0ewFv+uOL6/pIemzGWPXpkqqfTh0c8DnJCXGe9ZED2fLAOXpnxW6ddUxPJSew\nHXUsC3kk2RgTb4z52hjzrvu8qzFmvjFmo/srM9oBAECr+tfynVq/r0S9slK0dfZ05QV4oW7HwTIl\nxMfpjnOOVue0JEmSqffeXkJ8nNKSGg6/xhidP7YPAbkDCMd0i59LWut1PlPSAmvtUEkL3OcAAACt\n5oUlWyVJe9ybgnxXeMSvz+8uOMavLa5+SpaUGM9sVIQYko0xfSVNl/SsV/P5kl50H78o6YJQPgMA\nAKApq3cX+5zXfyFPkjqlJPq1NbwAnK+/Xp3XkrLQjoX6q9Kjkm6X5L0lTQ9rbe36K3sl9QjxMwAA\nABq0aEPdqhZv/NcJAfscPzDwPOMAA8l+uqQlNjpPGbGpxSHZGHOupAJr7fKG+ljXpue2gfuvN8bk\nG2PyCwsDL9kCAADQlFtfW+E5HjcgcJh95qrAI8HGKyX/PsB0jDNH9tDXd5+hrFT/UWjEtlBGkk+U\ndJ4xZqukVyWdYox5WdI+Y0wvSXJ/LQh0s7X2GWttnrU2LycnJ4QyAABAR3bd5IFN9slKCxxyTxjU\nzXN85cQBftd/dsrQlheGdq3FIdlaO8ta29damytphqSPrLVXSnpH0tXubldLejvkKgEAABrQNd0V\ngB++eEzA6xMamGohybMmcvd6G428fdOJumZSro7pkxXoNnQArbFO8mxJrxljrpO0TdIlrfAZAACg\ng3I6rYyRisqrte1AmWqcrpmdJ3ttAnLtibl6/rOtys5I1ms3BJ6nLLmWfNs6e7pf+5h+nTWmX+fw\nF492Iywh2Vr7saSP3ccHJJ0ajucCAADUN+iOuT7nt5zqmhLhvXveTdOG6PnPtsppA74aBTSJhQAB\nAEC7ts+9NnKC1/rGGcmuccCfnDQoIjWh/WNbagAA0G5UO5x+bWXVDklSgtdIckpifMBpFEBzMZIM\nAADajR0Hy/za3l+9V5KUEN/crUGAphGSAQBAu/HHDzf6tVXVuEaXE+KINQgf/m0CAADtxn9W7Jbk\nWu7t3Z9N9rnm/eIeECpCMgAAaBe8p1pcMLa3UpPiI1gNYh0hGQAAtAsV7hf0JNdKFvFeW0rf//1R\nkSgJMYyQDAAA2oVDZdWSpN+dP1KS1L1T3S55EwZ2iUhNiF2EZAAA0C7sKSqXJJ0wqJskKS0pQfN/\ncbIuGNtbQ7pnRrI0xCDWSQYAAFHN4bR6Zdl2FRS7Ng3p1TnVc21oj0w9OuPYSJWGGEZIBgAAUe3T\njYW6861Vklw76dXupge0JqZbAACAqPXl1oO65vkvPedHKmsiWA06EkIyAACISlv2l+ripz+PdBno\noAjJAAAg6lTVODXt4Y/92p+5alzbF4MOiZAMAICbtVZOp410GZD0XeGRgO1De7CKBdoGIRkAALfj\n71+gKQ8vjHQZkFRQUilJSk2s21UvIc5oYHZ6pEpCB8ProQAAuNUGM0Te1c8tkyS9/98nq2dWiqwY\n4UfbYiQZABDzHn5/vXJnztHVzy3TzkNlTfY/WFrVBlUhkIOlVcqdOcdz3iMrWUkJcUpOiFdyQnwj\ndwLhRUgGAMS8ZxZtliR9sqFQkx8MPJ2iotrhOf75q1+3SV3w9/Y3u3zOCcaIFEIyAACSarxe2Pt0\n4/4IVtKx7XXvqidJy359agQrQUdHSAYAxD7j3/Tut7t1zmOfylqr9XtL9Hr+jravC34S4lx/WJnJ\nCeqemRLhatCR8eIeACDmVdU4/dpu/odrSsWqXcX63p8X+1zLSk1sk7rg74mF30mSvr779AhXgo6O\nkWQAQIe2eJP/1Ir+XdMiUAm8JcQTURBZ/BsIAIhp1vovHbZ820HP8YPz1vldX7mrSLkz5+ir7Yda\ntTb4qnG4RvxNgOkxQFsjJAMAYlpFtf9Ui4ue+rxZ91745JJwl4NG3PjyV5Kke84bGeFKAEIyACDG\nVblHJzOTE3TLKUOCurd3Fi+OtaUP1+6TJO0/wjrViDxCMgAgpp3z2KeSpJxOybo4r1+D/bIzkiRJ\nFx7Xx9N22YT+rVtcB1NR7VBRWXWT/W6cMqgNqgEaR0gGAMSsK55dql2HyyVJxeU1Sk9ueFGnTimu\nFS2unDjA0/bJhsLWLbAD2VNUrqPumqcxv/tANQ6nyqsc+tvnW+V0r099/9y1nr5pSSy+hcjj30IA\nQMz6bNMBz/GHt56szJTAS7vdc95IPfnxJklSL68pFvnbXC/ubT9QppMfcu3Ut+7es5SSyC5wzbWn\nqFwnPPCRT9u1L3zp2bClV1aqxud28eyKCEQLRpIBADHp252Hfc47pyUpPs5oQm5XSdKg7HR98IuT\nNTA7Xd8b01tPXnGczhnVU90zU3T8QFefi47rq8KSSk9AlqT5a/a13TcRA+oHZMl3R8O1e4o19nfz\nPeePX3Zsm9QFNIWQDACISf/nNTI5oFvdusdDe2RIkuLjjIb1yNTCX05V1/QkjRvQVU9eMU7xcUbP\nXp0nyfXS36vLtvs8t6yqpg2qb782FZRox8GyZvevdviuPnLemN7hLgloEaZbAADatZ2HypQQF6ee\n9VaiGN4jU3O0R5L0wIWjPO2/nn600pMTdNsZwxp8Zu20jP+s2K3sjGSfa++s2K1Lx/NC3+v5O9Sv\na5omDurm037aI4skSUf1zNT9Xj93Sbo0r5/OH9tblz/7haftTx9t8hy/+7PJrVgxEBxGkgEA7drk\nBxdq4gML5HDWbRricFqVVTkkSYv/Z5omDc72XEtLStAd5xyt5ITmzSu+/HjfQDx5SE4Yqm7frLX6\n1b++1YxnljbYZ93eEp91picM7KqbTxmiSUOytXX2dH102xS/e47pk9Uq9QItQUgGAMSEVbuKPMeD\n75irpz/5TpLULT25oVua5ZsdvnObl24+0EBPlznf7lFJRdPLnLVHBcUVqqh2aPx9C4K6r2enFL12\nwwnq57Xd96CcDE0c1NVz/tvvjQhbnUA4EJIBAO2W93xW/82nXZISQvurblG9ZeACLQtXUFKhK55d\nqqc+/k43/eMrzXxzZUifGY1qHE5NuH+BjrprnvYfqQzq3s9nnRKw/eXrjvccTx/NXGREF+YkAwDa\nrcKSurBmrSsmV9Y4fPrEx5kWPfvc0b307rd7mtX3lle+1tLNBz1LzsXiChgbC44EbH9xyVadPCxH\nSQlxDe5QaEzgP4OE+Di98pOJqnE6lZMZ2og/EG6EZABAu3XGHxd5jpd8d0DH9u+i4XfOC8uzbztj\nuF9Ivui4vnrjq516aek23fXWKn372zPUKSVRSzcf9OlXVeO7YkMsuOwvvvOPszOStP9IlX7zzmpP\nW2ZK8LHihMHdmu4ERECLQ7Ixpp+kv0nqIdf/5XrGWvuYMaarpH9KypW0VdIl1tpDoZcKAECdW175\nWkcq65Zje+j99Rqckx6253dNT/JrS3CPSt/11ipJ0q3/XOFZLs5bWlJsbTay42CZDnttJ92va6oW\n/WqaBs6a69OvpML15/HopWM1YWBX9e6c2qZ1AuEUykStGkm3WWtHSJoo6SZjzAhJMyUtsNYOlbTA\nfQ4AQFi9s2K3X9uNL3/lOZ559lFaEGAFhebKSvXfnc9hfWc+d01PVEW1w6/fmSN7tvhzo9Fr+Ts8\nx1tnT9ent58iY4zuPX9kwP7H9OlEQEa71+KQbK3dY639yn1cImmtpD6Szpf0orvbi5IuCLVIAABq\n7Tpcrr8u3tJkv+tPGqTBORlh+9z5vzjZb9WK9fuOqLjcfyWLkopqz5SLqhqncmfO0XL3FtevLNuu\nQbPm6EATL7+t3l2k3Jlz9MHqvWH6Dvw5nVYn/eEj/XXxloBhv1btHOv60ykuzuvn1/eUo7prSPfM\n8BYKREBYVrcwxuRKOlbSF5J6WGtrJ3HtlWs6RqB7rjfG5Btj8gsL/d8UBgAgkGueW6Z7313jOb/1\ndP9NQa6aOEBxLXxhryFDe2Rq3IAuPm0rdhzWhPt9l0Pr0zlVH64t0LA735MkzXKvdHHRU0tkrdWs\nN1fKaaXrX1qu5dt85zJ7m/74YkmufivqLUMXLkeqarTjYLnufXeNjror8FzuhesKtG5viSTp7ZtO\n9LmWkhivRy4Zo3NG1Y2cnzQ0W0AsCDkkG2MyJL0h6b+ttcXe16zrVeOAq/JYa5+x1uZZa/NycliY\nHQDQPPVXWbjl1KF+feqH2XD5yUmDtOhX0xrts+twuee4otrhsxbwkx9/5zlevu2QLnrqc7/7rbU+\nG6NI0vlPfNbSkht18EhVwPY9ReWe7+PeOXW/kAwKMDJ/4XF99eQV4zznpZVs243YEFJINsYkyhWQ\n/26tfdPdvM8Y08t9vZekgtBKBACgzvRRvTzHb/50kiT5zT1ODnFt5FpPXH6cpLr1fI0x6t8tTb8L\nMBf3yon9def0o33abv7H16rxCrwPvb/e776Xlm7zOR84a64G3zHXr19r+NZrAxZJ+tXrKyRJJzzw\nkU6c/ZF+8NQSbS4slSQ9d43/C4rerps8UJI0rAdTLRAbWvxfEeNa9PCvktZaax/xuvSOpKvdx1dL\nervl5QEA4Cs9uW7liCHdXSOb9eceV4ZpCbbpo3vpy1+fpsn1phD88IRcvXDteJ+2/5o6RD8+aZBe\n/NEET9uHa/dpvXuqQkPuemuVZ1e/Q6W+I7tXTRzgOd6yv7RF30NDqh1O3fLK1z5try/fqdyZczzn\n+dvqFqeaOqx7o8+769wR2jp7us6IsZcW0XGFsk7yiZKukrTSGPONu+0OSbMlvWaMuU7SNkmXhFYi\nAAB19hRVeI4zkwP/Nea9/XGoGtrk4th+vlM6+rhXc5gyLEeb7z9Hg+6Yq6zURL2wZGuTn3FBA9Mp\n7jz3aM9I8/q9xRqYHdoSd+VVDt0/d62KK6r1c69pKr2zUrTb6+da34e3Tgn7HG8g2oWyusVia62x\n1o621o51/zPXWnvAWnuqtXaotfY0a23DbyUAABCEt7/ZpU837pfkWorMeyc377nJrTUn2VtWWt0S\ncfVfaIuLM+qclqiiACtf3Pf9Y9S/GSF+TN8sJSfE69kfuqY51Dgb2ni7+b7/5Gd6aek2vf3Nbr3x\n1U5J0s3ThuijX05t8J6ts6d7RuyBjoQd9wAALVJSUa3DZdUhjdruOlyu6174Un/70QR175SiP3+0\nUeeO7q3cBkZMf/7qNwHbJdcqF4FWumhNP506WEkJcRrTr7PfNe/NN8b066zB2el68+td+v6xfTRv\n1V5tP1jW4HPn/fdJOqpnJ0nS6L5Zfs9rqXVeUz+eWOh6ifDivL5KSYzXnFsma/rji9WzU4puPX2Y\nvtl5WAweoyMjJAMAWmTUbz+QJH3wi5Nb/LLW5X9Zqm0HyvTI/A2aefZReviDDXr4gw3aOnu6X9/l\n26Jv89bbzzqqyT6X5PXVAxeOVpyR7vv+KKUmxevxGcfq9eU7dP/cdX797zp3hIZ7/Twz3GsTHwlx\n1YhvdwZeRq5zqmtnwRG9Oune80dq2lHd1bdLmi4Z778GMtCREJIBACE544+L9MCFo3TZhP5B37vt\ngGs09dUvd+j7x/bxtFtrfaZSSNJ7K/d4jkOdm9sW4ozktNJvzxupePeQbKp7u+ou6Um6/uTBuv7k\nwbLWal9xpbJSE+W0Vun15lmnJrrumf3eOiXEGf34pEFB1VFQXKGstESd92f/ec+v33iCZ9qIMUZX\nnZAb7LcJxCxCMgAgaLbe9syz3lypH4zrqxqH9QTBptTfve7SZ5Z6jj//7oAmDclWaWWNVuw4rElD\nsj3bHP/slCE665joX0Fh8f+coj1FFUpLavyvWmOMemalNHq91u/nrNV1kwf6/QLRkMNlVX6bnfzy\njGEa0C1daUnxGp/btYE7ARCSAQBBCzSfduivXTvMffvbM9QpJVHVDqfum7NWN04ZrNfyd6jGafXT\nqYOV4h4ZrZ2uEcjlz37hcz7r7KP0wHuuqQk/P3WoEuLDsw5ya+rdOdUT7MNp24GyBudse3NtVrLE\np61TSoJumDJYie3g5wdEGiEZABCUd7/drT/Mc22KcUyfTioorlRBSaXn+uh64dd7CbQlm/brV2cO\n12MLNnraLjyuj978alejn1kbkCW1i4DcmtbtLWkyJDud1i8g/3Tq4GbNoQbgQkgGAATl5n/UbUDx\n4rUT9NfFW3y2W25M/rZDPtMqJOl/Lx6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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "mcdon['Adj. Close'].plot(figsize=(12,8),title='Pandas Title')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Plot Formatting" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## X Limits" + ] + }, + { + "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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Close'].plot(xlim=['2007-01-01','2009-01-01'])" + ] + }, + { + "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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US0V9C9dMHkRiVCgNrXY+uWcGOamHV095Z/1+tpTU9fn7+uunxuY6eYU13Zx5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\nwitJEkIIIbySJCGEEMIrSRJ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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "mcdon['Adj. Close'].plot(xlim=['2007-01-01','2009-01-01'],ylim=[0,50])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Color and Style" + ] + }, + { + "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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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "mcdon['Adj. Close'].plot(xlim=['2007-01-01','2007-05-01'],ylim=[0,40],ls='--',c='r')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## X Ticks\n", + "\n", + "This is where you will need the power of matplotlib to do heavy lifting if you want some serious customization!" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "import numpy as np\n", + "import pandas as pd\n", + "import matplotlib.pyplot as plt \n", + "import matplotlib.dates as dates" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 14, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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1s68AC4E5wLHhL3gLwVpFO/Ab4CTg68CJvLXWkYp8yeP2IPBdM5vj7r1JrzzH\nAutSlSnMtee4zU+6+U2gCShw928B3wKeA6an6hWpxm1A2UaZ2S0Epyq4DPgLcGX4vV8nWMM4Pbz7\nY8AxpOh5aW/j1rdm6O7bgPPd/TLgH4AqghcEqcg2ysxuI3hR+X8IfmefMbPxYb6+NaLbgZOTcw+l\nQ7owgGxgubu/4e6PAv8O/H8Ad/+puy8NL9cBO4BU7WDuBu4nOOnTs8BphH9o7r7K3b9AsM378nCq\nk80pzAb9j9u3wnzd4X2OAZ4ysxlmdr2ZjdrL1xpMe47b6WY2PbxtLcGLgkozm+7unUAJ0B1eTgWN\n24FrBn7g7peEf+slBDvhu4CHga3A2RYczVgP1AJHpCAX9D9uU5Pv4O6N4ecGgn2OZSnK1gr8xd0v\ndfcVwBJgJcEErH2bpyBYG2q0gNYw9qMAGBXuQMPdbwQqzOzSvjuY2Ugz+x7BK4i/pSJU2PSvuXsr\ncCfBL3lB3yu6cG1jq5lNNLOfEpzj40CmZT9Y/Y1bpZldEuabTlBg3yBYI6p39+1DHWof45YXPrn9\nEfgv4MdmdhPwQYJXXqmicTvwbF3uvircjHIVwb6KCuAegrWOHxM8D/3GzG4GjiXYNJWKbP2N2wnJ\n/6fh55Fm9l2CTT+peg7pAP6UtKgn/P41ydmAV4CrPTD0+8zcPe0/CKcw2cttzwAfSLr+IeCZ8PJU\ngokLfwQUpjpb0n0+AdwEzN1j+Z+AnxNsLhiKbMVJlzMijNuz4eUqYDvBP3d+qrP1M27z9lh+PME5\nUIbqdzoyjcdtr9nSedzCZXOTLl8GrE+6/l7gH4GiIco2K8J9dvs/JdiZPAd4hGBtcqjGLUq2KcAD\n/SzPIngvRlaU56KDzjrU3+AgB/JCYHE/f/gG5IaXPwg8DkwJr08iOA94DpCX/EecwmwZ4eXM8PMI\ngldSlxEcN/2BcPlQ/QGeR3Cc9q+Bf0panrmfcbsp/MMrBypjyLa/cXv/EP+9nQs8EWb7XtLyjDQY\nt31lS+dx21upVRCshY0eymzh9/oRwb6cKQcwblcC7wmXl6dBtpOB28PL7wLOHOpx6zdvHN90PwPY\nNyHi6QRHFC0DPgWUJd8eXp5G8AR9A/Argh1TDwE/T5NspUnX/y/QQLCj7/yhyBY+6X6SYLX5fOBt\nBNtoP7rHffc2br8YqnE7wGxxjNsigu3YFxKUwGPAeWkyblGzpfO4JWcbR7BJ6kdDNW57XL+dYDPX\nxwmLP86YapbgAAAIF0lEQVRxG0g24KsEmxV/RnC02SlDMXb7zR/HN40ymASrYJXAGQRvxDs16bYM\n4DqCnVCnEOxIO4ngFf8X0yRbDcGraSN489R64KspyHY+UJV0/Vrgc+HlzJjHLUq2uMbtKCArvFwB\n3BU+Afa9wvunGMctSrZ0HrcagrWQ/PB3/BLw+RRk68twDcGRRo8Cs5Nu/zLBTvc4xi1qtneH128n\nOHz7s0ORLepHOk1h8BmCN+08AdzhwfHtADVm9i7gVDN73d2rCQ5dbARmeHD0AsBfzexZdx/0d7IO\nMNtRfdnM7E3gGA92rg1VticJ3tH7gJllmlmWB0dSzCLYMQbBP3Qc43Yg2VI9bk8Av3P3l8Pl8wk2\naWYR/NO2A18gvr+3qNnSedySsy0Bfubh0UdDlO1x4C5332LBlB7nEhw6Ow74kJk9D2wgONx4VorH\nbUDZgDuAf3D3nYOd7YDE2VZJbXoxwaaK04H/AH7C7jvI5hK8b+Hifh6byRDu7DnIbFlxjRtvveq7\nDXhHOo1bhGxxjts0YFJ4uYjgCW9+mozb/rKl87hlx5Dt2PC2G8LPHyZ4Il4DjIp53KJmG9JxO9CP\ndDms9m3ATR4c23498Abw2b4b3f1FggE/xszOsODdtn2Hp/Z6OLJpmK2nn6+XkmwenN42F5gILDOz\nCWbWN8dRrOMWIVsc43ZtmG29u28ML7cQHG45MilbHOMWNVs6j1t3v19xaLN9Orzt/HAt98sEhxg/\nS/A+hzjHLWq2oR63AxJrYSQdS7yecKoCd99AsDO00IKJ3frcQbCt707emn9G2fadbWaY57PAfaTg\nzYGHcLaCPX6nmNn/A44GVof3HbKiULYhyVZmZm8nOCT2aXef5+5XEmw2njWcsw1USgvDzM4ys+P6\nricNyO+BtqQ/vK0ER1vMskARwcCuBOa4+xf3eLyy9ZONYDPBLIL3o7zb3b+tbPvOFj7uPDN7CphB\ncAj01sHKpGwpzbaE4CCF2939y0lf5mJ3Xz6csg2WVM3ZMt/MHiSYbOyIpOUG4O47CA6z+3S4GtZI\nsB00Lxz0DoKjA97t7jV//x2UbY9s+WG214GT3f1TyhYtW3jXNcAnPZgeX9kO3WyFBH9vCQsOtsgI\n79sxXLINtiEtjHAgbgZ+CfwC+C1vvRrJ6mtgC8629ReCOfFvNrNxBBOBdUOwzdvda5XtgLOtdPdB\nncrgMM/WFWZ7091XKdthka0nzNbrgzx1RjpnGzI+xHvVgUsIp0kgOITscYJX5323X08wfcd8gu3Y\n/0KwmnsT4bHKyqZsyqZsyhb/x1AM4IcJ3gn73j2WG3AWQRuPDJdVELTy9D3uO1RzKymbsimbsh2W\n2VLxMZgDaQRTPywHriaYffVqkiYTI5gNcj0wrp/H9zvnjLIpm7Ipm7Klx8eg7cPwYFTeDtzo7v9B\nMM/OWcA7k3b+bCaYVvkDyY81swwfwm14yqZsyqZsh2u2VDqowjCzj5jZqWbWdwz9GmB8uMPnEYI5\nY04meIMWFpyVbC3hG1P6DMVgKpuyKZuyHa7Z4nLAhWGBSjN7lGAOlMsJTswyAthEsN2u79CyOwmO\nGhgJu85KVkQwed+gUzZlUzZlO1yzpYUD2X7FWzMszgB+07eMYI//YoJTWN5CMJd8SXj7bcA3kr7G\nkMzDo2zKpmzKdrhmS5ePSLPVmlkm8E0g08weIDjRSC8ExxCb2TUEUxgfRXBUwMUEO4C+BSQIzuFL\neH+P8j2jUjZlUzZlO1yzpZv9bpIys1MJThRURvDu3G8SvPnqdDM7AYJBJTiP8bfdfQlwM3CymT0X\nPu6xoQivbMqmbMp2uGZLSxFW004Brky6fhPBWeauApaFyzIIJs36L946dWUpMH4oV4+UTdmUTdkO\n12zp+BFlp/cy4K5wtQ3grwTz3t9GsAp3jQdHAUwAejw8uZC77/TghEJDSdmUTdmU7XDNlnb2Wxju\n3ubunf7WmcXOJjhVJQRvXJllZvcTTPH9wtDEVDZlUzZlG17Z0lHkU7SGDezAGILzFwA0E5ycfDbw\nRlyNq2zKpmzKdrhmSycH8j6MBMFhZfXAnLB1vwYk3P2pmAdT2ZRN2ZTtcM2WPg5khwdwIsHAPgV8\n7EAeO9QfyqZsyqZsh2u2dPmwcKAiMbMJBG9a+b67dx5IMQ01ZRsYZRsYZRsYZTu0HVBhiIjI8JXS\nc3qLiMihS4UhIiKRqDBERCQSFYaIiESiwhARkUhUGCIHwcx6zWyFma02sxfN7PNmts//KzObYmaX\npSqjyGBRYYgcnHZ3n+fuRxPMQ3Qe8PX9PGYKoMKQQ47ehyFyEMysxd2Lkq5PA/4GjAYmA/8JFIY3\nf8bdnzazZwlO7fkGwZncfgTcCJwG5AI/dfdfpOyHEIlIhSFyEPYsjHDZTuBIgsnrEu7eYWZVwB3u\nvsDMTgO+4O7vCe+/CKhw938xs1yCKbYvcfc3UvrDiOxH5NlqReSAZQM/MbN5BKf8nLGX+51DMOHd\nB8LrJUAVwRqISNpQYYgMonCTVC9QS7AvYxswl2B/YcfeHgZc4+5/TklIkQHSTm+RQWJm5cDPgZ94\nsK23BKjx4IxtVwJ9Z3VrBoqTHvpn4FNmlh1+nRlmVohImtEahsjByTezFQSbn3oIdnJ/P7ztJuBu\nM/sI8BDQGi5/Ceg1sxeB24B/Jzhy6gUzM4Izvl2Uqh9AJCrt9BYRkUi0SUpERCJRYYiISCQqDBER\niUSFISIikagwREQkEhWGiIhEosIQEZFIVBgiIhLJ/wIeDmHrSvuJ7gAAAABJRU5ErkJggg==\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "mcdon['Adj. Close'].plot(xlim=['2007-01-01','2007-05-01'],ylim=[0,40])" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "idx = mcdon.loc['2007-01-01':'2007-05-01'].index\n", + "stock = mcdon.loc['2007-01-01':'2007-05-01']['Adj. Close']" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "DatetimeIndex(['2007-01-03', '2007-01-04', '2007-01-05', '2007-01-08',\n", + " '2007-01-09', '2007-01-10', '2007-01-11', '2007-01-12',\n", + " '2007-01-16', '2007-01-17', '2007-01-18', '2007-01-19',\n", + " '2007-01-22', '2007-01-23', '2007-01-24', '2007-01-25',\n", + " '2007-01-26', '2007-01-29', '2007-01-30', '2007-01-31',\n", + " '2007-02-01', '2007-02-02', '2007-02-05', '2007-02-06',\n", + " '2007-02-07', '2007-02-08', '2007-02-09', '2007-02-12',\n", + " '2007-02-13', '2007-02-14', '2007-02-15', '2007-02-16',\n", + " '2007-02-20', '2007-02-21', '2007-02-22', '2007-02-23',\n", + " '2007-02-26', '2007-02-27', '2007-02-28', '2007-03-01',\n", + " '2007-03-02', '2007-03-05', '2007-03-06', '2007-03-07',\n", + " '2007-03-08', '2007-03-09', '2007-03-12', '2007-03-13',\n", + " '2007-03-14', '2007-03-15', '2007-03-16', '2007-03-19',\n", + " '2007-03-20', '2007-03-21', '2007-03-22', '2007-03-23',\n", + " '2007-03-26', '2007-03-27', '2007-03-28', '2007-03-29',\n", + " '2007-03-30', '2007-04-02', '2007-04-03', '2007-04-04',\n", + " '2007-04-05', '2007-04-09', '2007-04-10', '2007-04-11',\n", + " '2007-04-12', '2007-04-13', '2007-04-16', '2007-04-17',\n", + " '2007-04-18', '2007-04-19', '2007-04-20', '2007-04-23',\n", + " '2007-04-24', '2007-04-25', '2007-04-26', '2007-04-27',\n", + " '2007-04-30', '2007-05-01'],\n", + " dtype='datetime64[ns]', name='Date', freq=None)" + ] + }, + "execution_count": 16, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "idx" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Date\n", + "2007-01-03 31.662754\n", + "2007-01-04 31.424580\n", + "2007-01-05 31.424580\n", + "2007-01-08 31.547276\n", + "2007-01-09 31.605015\n", + "2007-01-10 31.944233\n", + "2007-01-11 32.124668\n", + "2007-01-12 31.915364\n", + "2007-01-16 32.167973\n", + "2007-01-17 32.377277\n", + "2007-01-18 32.182407\n", + "2007-01-19 32.341190\n", + "2007-01-22 32.009190\n", + "2007-01-23 32.370060\n", + "2007-01-24 31.872059\n", + "2007-01-25 31.034840\n", + "2007-01-26 30.984318\n", + "2007-01-29 31.200840\n", + "2007-01-30 31.590580\n", + "2007-01-31 32.009190\n", + "2007-02-01 32.103016\n", + "2007-02-02 32.146320\n", + "2007-02-05 32.139103\n", + "2007-02-06 32.312321\n", + "2007-02-07 32.276234\n", + "2007-02-08 32.009190\n", + "2007-02-09 32.160755\n", + "2007-02-12 32.283451\n", + "2007-02-13 32.406147\n", + "2007-02-14 32.492756\n", + " ... \n", + "2007-03-20 31.980320\n", + "2007-03-21 32.196842\n", + "2007-03-22 32.110233\n", + "2007-03-23 32.514408\n", + "2007-03-26 32.564930\n", + "2007-03-27 32.507191\n", + "2007-03-28 32.355625\n", + "2007-03-29 32.384495\n", + "2007-03-30 32.514408\n", + "2007-04-02 32.348408\n", + "2007-04-03 32.665974\n", + "2007-04-04 32.644321\n", + "2007-04-05 33.041279\n", + "2007-04-09 33.553714\n", + "2007-04-10 33.423801\n", + "2007-04-11 33.517627\n", + "2007-04-12 33.654758\n", + "2007-04-13 34.383716\n", + "2007-04-16 34.715717\n", + "2007-04-17 35.372500\n", + "2007-04-18 35.278674\n", + "2007-04-19 35.206500\n", + "2007-04-20 34.903369\n", + "2007-04-23 35.105456\n", + "2007-04-24 34.982761\n", + "2007-04-25 35.098239\n", + "2007-04-26 35.531283\n", + "2007-04-27 35.329196\n", + "2007-04-30 34.845630\n", + "2007-05-01 35.466327\n", + "Name: Adj. Close, Length: 82, dtype: float64" + ] + }, + "execution_count": 17, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "stock" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + " ## Basic matplotlib plot" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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kpaObemsXU0fQviREX9LGZKAPD9QRG2lm+ZQ02jp7UGoP7+6roaPLQYRJccWi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\n+twNuazexoS0WFkC2yCe9p6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cdNM/6fU64HvuGPPcf/gcXE8wH4dCjCddyzLgsz4fjOY+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\n93oAAAAASUVORK5CYII=\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots()\n", + "ax.plot_date(idx, stock,'-')\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Fix the overlap!" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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ez+HNzH78uVk0t3Vw12vHFkL4x2rOn2UlOLeNMz29tpDYKA+fnz+q87G88RlE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\nXwT2dfn5IeBPQGKAz+GMPrzGfw4X9vB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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots()\n", + "ax.plot_date(idx, stock,'-')\n", + "\n", + "fig.autofmt_xdate() # Auto fixes the overlap!\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Customize grid" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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vqWtuo6CqiVEDE/BofB4wEUgvbyhgYs4Apg1J5vI5Q7l8zlC2FtTQ2Nr5/5NX\nc5ubh9/PY/HDq9laUMN9F0/mXzcuICEERlelxEVRa8Ph4v9Ye4SfvLo94PvdV+bsdTee6N+kMAXQ\nqp0lKAXnTcwC4CvTBuH2aO5/ew8j0uM5y1wS/MIp2Zw5diCv7mulvL7lpN+zp9jou79gsjGd/xGb\nDYDYXVzHtsJaLp8zpH2W6Hmj0nB5NJuO1HT5uk/2lbPk/1bzyAf7uHBqNh/cdjbL5o/ocjJPu/F2\n5fXleprVyutbuP/t3azcdjSg+9Vas7+0nrE9vD4kBEhhCqhVO0uYMzy1fcTdhOwkRmck0Or2cPW8\n4TgcxxYzu+drk2l1wwPvnjwQwnutZvFko8DZ7TrTSxsKiI5wcMmMwe2PzRmRRoRDsfZg5Unbl9U3\n84N/bmbZ0+tRSvHc9XN55MqZZCZ1PjTYrlLio3B5NA2tnc/dFgyP5+6nsdVNfbPL712+v121l8v/\n9DnNbW6Ka5tpaHX3aMYHIbykMAXIjqJa9pTUs3jysUXLlFJcNmcoyXFRXDZ76HHbj85IZMmIKF7Z\nWMjGI8cPhNhdXEdKfBTTh6QQHemgwEaFqcXl5vXNRZw/Keu4CTsTYyKZMjiZdYeOL0wr1ufzpd9+\nzLs7Srj1vLG8c8uZnDF2YKBjW8Ju8+UVVDXy/Loj7bmq/Thi0OPRrPiigPWHq7j7jZ3tUxH1dqi4\n6N/s33EfBnYU1XLNX9eTkRRz0r0Vy88cxbJ5wzu9hvK10VFsqorgZ6/v5M2bFxIZYZxH7C6uY2L2\nABwOxdDUuIC1mD7ZV84TuQdwezQxUQ6ctc28WryZ2CgHsVERxEZFUOlspbqxjcvmDDnp9fNGpvHX\nTw/R1OomLjqC3cV13PnqduaNSuPXS6fabpqhnkqOMwpxTWMrg1PigpwGHn4/D4dSfP/cMfzy37up\naWzzWyt0S2ENFc4Wpg1J5sUNBeSV9WzyViE6khZTDz31yUHuf3u3z9tvPFLNN/6ylthIBy99dz6Z\nA47/YHA4VJcX9mMiFT/7yiR2Fdfx/Lp8wLhBd29pPRNzBgAwLC3e74WptrGN21/eyrKn11NY04jD\nAfXNLiqaNNsKa1idV8GbW4/y7GeH+demQsZmJnLm2JPvIZk3Kp02t2ZTfjUAz3x6iLioCP509eyQ\nL0pgrxbT3pJ6XttSxLULRzDJ/FupavBfi+n9XaVEOhTPXnc6C0anszm/hvSEaNKCtKKwCG3SYuqB\nFpebRz9H4NhrAAAgAElEQVTcT0OLi++dM6bbYbCf7a/gO3/fQGZSDM//97xenUVfOCWbM8YM5Lfv\n7eWiaTnUNLbR3OZhYo5xJjosLZ4Nh6vRWluyHPWJimubWPr4Z5Q7W/jeOaP5wZfGtq8a+tFHH3HO\nOecct73WGq1pv17W0ZwRqTgUrDtYyfjsJF7fcpTL5wxpX8so1LWvYmuDkXkPrdpLYkwkN549mqM1\nxkSo1X4sTP/ZVcrpI9NITYjmkStn8pVHP2GctJZEL0lh6oHcPWXtZ8Mf7Ck9bjqhE324p5QbntvE\niPR4nrt+7kktJV95B0Jc+MhqHnhnT/vd7N4W09C0eOpbXNQ2tVn+Ae/xaG57eSt1zW28euMCn5YQ\nUErRVX1Mio1iyuBk1h6sIjLCQavLw7UL7H9/kq9SzeNf6ccC4IuNR6r4z+5Sbl88npT4aJrbjEEP\nVX66xnS4ooF9ZU6+OXcYABlJMbz1/TNw+OFESfQPlnXlKaVilVLrlVJblVI7lVL3mo8/pJTao5Ta\nppR6TSkVsjMrvrKxiIykGLIGxLTP2NCZf28rZvnfNzI+K4kXl5/cfddTYzITuf6MUby8sZB/rs8n\n0qHa7w8ZlmYsAeCP7ryn1xzi0/2V3P3VSZatazNvVDpbCmr4++dHOGd8RliN2spIiiHCoSipbQ5a\nBq01D7y7l4GJMVy3cATg/yU5/rPbmPvRexsEGMtR2H2mDmFfVl5jagHO1VpPB2YAS5RS84D3gSla\n62lAHvATC/cZMJXOFj7aW8bSmYO5YFI2H+eV09TJsOCXNxTw/X9uYuawFJ7/77mnXEq6J75/7hhy\nkmP57EAlYzIT21drHZbun8K062gdD63ay+LJWVw+Z2j3L/DR3JFptLo9VDhb+PbC8GktgTHDePaA\nWIqCeMPzx3nlrD9UxS1fGkN8tNEhEhsVQUJ0hN+uMb2/q5QJ2UkMTYvvfmMhfGBZYdIGp/ljlPml\ntdbvaa29t/uvBbru/7Kxt7YexeXRXDprMIsnZ9Pc5mH1vvLjtvn754e5/ZVtLBwzkGe/fToDYq2b\niiUhJpK7zFVavd14AEPNRdOsvMlWa83/vLSFlPgo7r90mqXXruaMSMOhjFbgmSE6LPxUBqfGUVQd\nnMLk8WgefHcvw9LiueK0Ycc9l5oQ7ZdrTNUNrWw4Us35k7K631gIHykr71JXSkUAG4ExwONa6ztO\neP4t4EWt9XOdvHY5sBwgKytr9ooVKyzL1RWn00liom9dSfd+1oRbwy8WxuHyaG7JbWRGRiT/Pc3o\nrvj3wVZezmtjZmYEN06PITqi7x/mJ+bTWvPWwTYmpUcwJiWi/fEffNjAjMxIvj3Fmq6TmhYPt+Y2\n8Y0J0Swe0XVx7cnx6+jdQ20MH+BgYnpE9xv3UW8z9taftzWTV+Xhd+f41nqwMt/aYhd/2trC8mkx\nLBh0/OXjez5rYkC04n/m9Lxb+VQZPy1q4y/bW/n5/FhGJfv//exMoN/jnrJ7PghMxkWLFm3UWs/x\naWNjFJW1X0AKkIvRhed97KfAa5jF8FRfs2fP1oGQm5vr03Z5JXV6+B0r9V9WH2h/7IcvbtbT7lml\nW11u/dtVe/TwO1bq77+wSbe63AHPd8nja/Q3nvzcsv1+ur9cD79jpf4kr/yU2/maL5gCnfGhd/fo\nUT/5t27z8e/AqnytLrc+68EP9eKHP9Zut+ek55c9vU5/7bE1vfrdp8r4o5e26Fm/eK/TfQaK3f8O\n7Z5P68BkBDZoH2uIX+5j0lrXmIVpCYBS6lrgK8BVZsCQ8tbWo0Q4FF+bcezm2MWTs6ltauO6Z77g\n0Q/3c+VpQ3n4ihlERQT+1rDhFt/LdKC8AYDRmfZdlM+uBqXE4fZoyjqZ49CfXvyigCOVjfx4yfhO\nh+qnxUf5pStva0EN04emdLpPIXrLylF5Gd4Rd0qpOOB8YI9SagnwY+BrWmv7zJ3TA5vya5iYk3Tc\nXfNnjc0gNsrBmv0VXLdwBPdfOjVok40OS4u3dPmLA2VOEqIjyO7jaML+aHCqca9aIAdANLW6+cMH\n+zhtRCqLxmd2uo0/rjE5W1zsL3cybUiypb9XCCvvY8oBnjWvMzmAl7TWK5VS+4EY4H3zIvparfUN\nFu7Xr7TW7Dhay5IOc9wBxEVHcOeSCbg1fHvhCL/c3OqroWnx7ctfDE/veytnf5mT0ZmJQf1/ClXe\nm6gDuRTJ3z47TFl9C49fNavL9ywtPpr6FhetLg/Rkdacj24vrEVrLLuVQAgvywqT1nobMLOTx8dY\ntY9gKKppoqaxjcmDTz4rvNYmw5299zIdqWy0pDAdKHcyf1R6n39PfzQoxWhlFgZoZF5tUxt//Gg/\n507I5LQRaV1ul5JwbB6/vt5X57Wt0FjCZPoQKUzCWjJXXjd2FBlLTEwZNKCbLYMny/yg6Wztpp5y\ntrgorm1mdBjd+BpI8dGRpCVEB6zF9Mm+cuqaXXzvnNGn3C7NnJWi2sKbbLcW1jA0LU7mwxOWk8LU\njZ1Ha4lwqOPuHbKbtETvh07fryEcLDduRRsdBpOqBsuglONvst1SUMNZD+ZacuJwoj3F9UQ4FFM6\nadF3lJpgDPu38ibbrQW1TJPWkvADKUzd2FFUy9jMxPaJS+0oKSaSSIey5ENnv7mOTjhNFRRog1OO\nv8n2vZ0l5Fc1nrQWlRX2lNQxamBCt3+f3laNVWsyVThbKKppYoYUJuEHUpi6seNoHZMH2XvUkVKK\n1IRoywpTpEMxPF2ml+mtQSlxHK1pal9ifeMRY5mPrQVdLyvfW7uL65ngQ2ve25VnVYvJe31JRuQJ\nf5DCdApldc2U17cwZbB9u/G80uKtKUwHyp0MT48Pyv1Y4WJwShwNrW5qm9poc3vYVlgLGF16Vqpr\nbqOopql9CZRT8c48X2NRi2lrQS0ORbddiEL0hix7cQo7jhofKKHwjy8tIdqSbpr9ZU7pxusj75Dx\nopomPB5oanOTkxzL9qJa2twey4r+3hJjldiJ2d2fOEVHOkiMiaSqwZrBD1sLaxibmdTlIpdC9IWc\nFp/CjqI6lMLWAx+80izoymtzezhS2SgDH/qo/Sbb6qb21Xq/tWAEzW0e8krrLdvPnmJjxOgEH1pM\nYAyAsOLkRWvNtsJa6cYTfiOF6RS2F9UycmACiSFwVpiaENXnwnSkshGXR0uLqY863mS78Ug12QNi\nuXCKcYO2ld15u4rrSY6L8nmGDqu6ewurm6hqaJUba4XfhGVhuuv17dzz5s4+/56dRbVMsfnAB6+0\nhBhqmtpwe3o/FaF3RJ60mPomLSGa2CgHRTVGi2nW8BSGpcWTlhDNlnzrCtOekjomZCf5PENHqkXd\nvV8crgLkxlrhP2FZmOqbXazcdhRPHz6kK50tHK1tDomBD2BM0qk17Uu/98YB7z1M0mLqE6UUg1Li\n2JxfQ2F1E7OGpaKUYvqQZLYWWlOYPB7N3pL6HnUzp8b3vTDVNLby4Lt7GZWR4HMXohA9FZaF6exx\nGVQ4W9ll9sH3xs6j3hkfQqPF5F0pt6qh9zdxHihzkpMcGxJdl3Y3OCWODeYw8VnDUwGYMTSVfWVO\n6pv7PgChoLqRxlY3E7J9Lw6p8dFU92Hwg9aan762gwpnC49cMVNGbgq/Ccu/rDPHZgCctMKsryqd\nLfz+/TyiIlSnc+TZUVp7Yer9B8/+cqd041nEe50pOsLBZHM6qxnDUtDamPy0r3YXmyPyetBiSkuI\nwtniosXl7tU+/7WpiH9vL+Z/LhjHVBn4IPwoLAtTRlIMk3IG8PHenhemg+VOLv3jZ+wuruPRb8wk\nOc665dH96Vhh6l1XjcejZai4hQaZhWnqkGRiIo1ZGaabH+abLRgAsafEGDE6LqsHLab2iVx7fvKS\nX9nI3W/s4PSRaXz3rFPPyydEX4VlYQI4e3wGG49U42xx+bS91pp3dxRz6R8/w9ns4p/L57FkSo6f\nU1qnr4WpqKaJxlZ3jz7oRNe8LaZZw44NEEiJj2bkwARLZoDYU1zPyPQE4qJ9nyrr2ESuPfsbcXs0\nt764GYdD8fAVM4K27pjoP8K2MJ01NgOXR/P5ge7nJyuoauT6Zzdww3ObyEmO49XvLWDWsNQApLRO\nai8/dLy899eMz5YWkxVGDDSmdJpzwlIUM4amsKWghr4u5LynpK7Hgw9Sejkt0cqDbWzKr+GXl0xp\nL7hC+FPYFqbZw1NJiI7g47yyLrdxeTRPfLSf8x/+mLUHK7nroom8dfNCS9Y0CrTYqAgSoiN63WLK\nK/VO3iotJivMGpbK89+Zy/kTs457fM6IVMrqW9hT0vsbbRtaXBypamSCDzM+dNQ+kWtDG1pr7nhl\nG3/++MApX7Mpv5o3DrRxyYxBXDxjcK8zC9ETYTv8KjrSwfzRA1mdV9Hp8+sOVvLzz5o46tzLksnZ\n/Pyrk9qvC4SqviyfnVdaT05ybMhcU7M7pRQLxww86fELp+Rw9xs7eW1zUa9nFMkrrUdrGN+DEXnQ\nYemLxlY+zivnxQ0FxEQ6uGTm4PY1vTpytrj44YtbSI1R/OKSKb3KKkRvhG2LCeDscQPJr2rkcEVD\n+2NVDa3c/vJWrnhyLS0uePpbc/jTstkhX5TAOCOu7ENhGivXl/wuLSGac8Zn8saWol7fDL3PbN2O\n7+H75e3urXK28pt39pA9IBa3R/N47v5Ot//FWzspqGrku9NjGBArJywicMK2xQRw1jhj2PgfPtzH\nzKEp1DW7+MsnB3E2u7jxnNHMiCrmSyd0tYSy3t5A6TZH5C0YLcupB8Klswbzn92lfHag89Z8d/aW\n1hMb5WBoWs+WJomKcJAUE8mLX+RztLaZR66cwdqDlaxYX8B3zx593PWjd7YX89KGQm5eNIZxMcW9\nyilEb4V1i2l4egKTcgbw6qYifvbGTh5atZdxmUm8fcuZ3LFkAjER4TW6KL2XE7nmVzXS4vJIiylA\nzp2QSVJsJK9tKurV6/NK6xmTmdir0XGpCdHtM5p8ddogbj53LACPfXis1VRS28ydr25n+pBkbjlv\nbK8yCtEXYd1iAnj9poXUmXfaO5QiNT7K57nFQk1vFwv0Lp/Q064h0TuxURFcNDWHN7ceZXF6TI9f\nn1da3+n1K1+kJkSTX9XInUsm4nAoBqfEceXpQ3lhXT5zR6ZR3+LitU2FtLo8PHzFDJndQQRF2Bem\n6EgHAxN7/o8/FKUlRNPY6qa5zd2jpeC9Q8XHZslQ8UBZOnMwK74oYGOZm8U9eF1tYxuldS29PomY\nNyqNkenxnDH2WGG7adEYXtpQwK0vbgGMfzO/uXQqo2QWEBEkYV+Y+pP24cCNreQk+z6YI6+0nqFp\nccRHy59DoJw2Io3BKXF8drRnLdy8MuMkorc3Qv/kwoknPZY1IJaV3z+ThhYXOcmxpCfGyE20Iqik\nnR5GUnt5A2Veab104wWYw6FYOnMwOyvclNU1+/w6b7fruB4OFe/OmMxEpg9NIXNArBQlEXRSmMJI\nb6YlanV5OFjeIAMfgmDprMFo4M2tR31+TV5pPYkxkQxK9m1xQCFCkRSmMNKbwnS4sgGXR0uLKQhG\nZyQyMtnBqz0YnWfcb5YYtgN4hAApTGHl2JQzvhcmGfgQXAsGRbKruK69i647eaVOxsm0USLMSWEK\nI8lxUSjVsxZTXkk9DiXLqQfL3JxIIh2KVzcXdrtthbOFqoZWy68vCWE3UpjCSIRDkRIXRVUPZn/Y\nXlTLiPSEHg0vF9YZEK04e1wGb2w+2u0URXlyv5noJ6QwhZm0BN+Xz356zSFy95ZzweRsP6cSp7J0\n1mBK6ppZe/DUS7TsLfUOFZfWrQhvUpjCTJqPsz+8uqmQ+1bu4sIp2dy+eHwAkomunDcxi6SYyG4H\nQeSVOkmJjyIjqX/cMC76LylMYSY1vvvC9OGeUm5/ZRsLRqfzf1fKiqTBFhsVwYVTs3l3RzFNre4u\nt8srrWdcZpKMyBNhTwpTmElPjD7lNaYvDldx43ObmDxoAE9eM4eYSLm2ZAdLZw6hodXNe7tKjnv8\nmU8Pcccr27jjlW3sOlrHOFlhWPQDMgdNmEmNNxYL1FqfdGa9u7iOb//tCwanxvHMtaeRGCNvv13M\nHWlMUfTa5qL2lWJ3Ha3j3rd2kRofRUxkBGkJ0ZwXRsu0CNEV+WQKM2kJ0bg8mrpm13Gr0eZXNnLN\nX9eTGBPJP66fS3o/mdg2VDgciotnDOLPqw9SXt9CRlIMj3+0n8SYSD66bRHJ8bJQn+g/LOvKU0rF\nKqXWK6W2KqV2KqXuNR+/zPzZo5SaY9X+ROe88+VVOFvaHyurb+bqp9fR5vbwj+tPP25BOGEfl84a\njNujeXPrUfaXOXl7ezHXzB8uRUn0O1ZeY2oBztVaTwdmAEuUUvOAHcClwGoL9yW6MCEnCaXgxuc2\nsr/MSW1TG9c8vZ4KZwvPXHsaY2TWANsak5nE1MHJvLa5kCc+2k9MpIPrzxgZ7FhCBJxlhUkbnOaP\nUeaX1lrv1lrvtWo/4tQmD0rm798+nQpnK197bA1XPrmWA+VO/nT1bGYOSw12PNGNpTMHs6Oojtc3\nF3HV3OHS5Sr6JaX1qe8279EvUyoC2AiMAR7XWt/R4bmPgNu01hu6eO1yYDlAVlbW7BUrVliWqytO\np5PERPuOcupLvupmD09saWF/jYcbp8dweo71lxPtfvzA/hlPzFfbovnhR404gIfOjiM1NvgDZ0Pt\nGNqN3fNBYDIuWrRoo9bat8s5WmvLv4AUIBeY0uGxj4A5vrx+9uzZOhByc3MDsp/e6mu+NpdbF1U3\nWhOmE3Y/flrbP2Nn+X799i79eO6+wIfpQigeQzuxez6tA5MR2KB9rCF+GZWnta5RSuUCSzCuMYkg\niIxwMEgGOoSczlaZFaI/sXJUXoZSKsX8Pg44H9hj1e8XQgjRP1jZgZ0D5CqltgFfAO9rrVcqpZYq\npQqB+cC/lVKrLNynEEKIMGNZV57Wehsws5PHXwNes2o/Qgghwlvwh/wIIYQQHUhhEkIIYStSmIQQ\nQtiKFCYhhBC2IoVJCCGErVg6JZFVlFLlwJEA7GogUBGA/fSW5Os7u2e0ez6wf0bJ13eByDhca53h\ny4a2LEyBopTaoH2duykIJF/f2T2j3fOB/TNKvr6zW0bpyhNCCGErUpiEEELYSn8vTE8GO0A3JF/f\n2T2j3fOB/TNKvr6zVcZ+fY1JCCGE/fT3FpMQQgibkcIkhBDCVqQwiZCnlIoKdoZQJ8dQ2EnYFiZl\n+JVS6pxgZ+mKUmqCUio+2DlORSk1TSmVGOwcnTHf43uAW70/BzfRyex8/CBkjmGE+V/bZfNSSl2q\nlEoPdo7OmO/xRUqpzGBn8VVYFial1ExgPTARyLfb2aBSaolSqgR4AHhRKTUw2JlOpJS6ylz08V6M\njNHBztSRUupqIBe4BrgaQNtoJI/djx+ExDG8Vim1Gbgl2FlORSn1c4xRbVcEO8uJlFKXALuBm4Gn\nlVKTgxzJJ2FVmDqcUU0A/q61vlRrfRBwBzHWcZRSscBS4Gqt9cXAUeBWpdSM4CY7Rin1ZeAG4Eat\n9VJgNPBV87mgnrUqpSKUUtcD/w38WGs9Ciiy0z84Ox8/M0MoHMOJwPeAlcBZSqlRWmutlLLNZ1aH\nLE3A34EJSqnZJzwXNGYL7tvAdVrrC4EoYJL5XND/Dk8l6AfPCkqpJDjubO9CoM187g/Az5VSpwWr\n5dSxK0dr3YxROL3N/ocw3ocvKaVighAPOHYMTe9rrc/UWn+qlEoGDprbqGCdUXu7c7TWbuANrfXZ\nWuv15gdYPRDsgmnr42fu3/bHsEPG3cC3gIeBXRhn/GitPcFLeOwYmrzvZQTgBAoxT0CClfOEbuMW\nIBHINn/2ADlKqeyTXmgzIV+YlFJ3ApuVUg8opb5tPvwqcKFS6mWg2Hzse8BVQcj3Y+AjpdSDSqlv\nmQ+/AYxVSkVrrfcDm4AcYHyg85kZvcfwQaXUNVrrNqWUQymVBbwN1AD/BTyklJoQhHy/wDi5yATQ\nWleYjyvzA2wEMMN8LOB/03Y/fmZGux/D24E1GMfoJjPjbq11FfAaMFopdVaw8pn79R5D70SkDrPl\nMQB4HngH44P/YaXUkiDk837WPKSU+qbW2gn8A/imUqoMyAemAfcB5wU6X0+EdGFSSp0LfBk4H3gX\n+JXZHbEZ4wwwQWt9P3A/sA7jjzsgrRKlVLpS6m/AHOA7GNe8vmdeT9qG0WJaZG7+ETCVILwfJxzD\nd4AHlFLTtNYerXUpcJHW+pvATcBYYFQAs8UopX6CceY8DfODswPv8XoeOAMCf6Zq5+Nn5rP1MTT/\nnTwNnA58E3gPWGa2NL12Y1wL+6433wktF39nPPEYzjRzuM0WsAaSMf4NXwxcBOwNYL7OPmtuUUoN\n1lo/A7wAPKe1vgH4IcaJ0uhA5euNkC5MGH2mm7XWh7TWucAfgF9jXLd5F8hWSo3WWrdg/OG0md8H\nQgPwntb6cq31FuADYCcwGNiA0ZI7Xyk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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots()\n", + "ax.plot_date(idx, stock,'-')\n", + "ax.yaxis.grid(True)\n", + "ax.xaxis.grid(True)\n", + "fig.autofmt_xdate() # Auto fixes the overlap!\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Format dates on Major Axis" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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8YxU2u5O7l4z2YGnNI3s6tS+7tI4RydGm5ckTfZMEJ5NVNzTzXU4Fi8enYLEo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\nWKq1LtJa3wnUYtRzJDDZV2U+Hrd+uVx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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots()\n", + "ax.plot_date(idx, stock,'-')\n", + "\n", + "# Grids\n", + "ax.yaxis.grid(True)\n", + "ax.xaxis.grid(True)\n", + "\n", + "# Major Axis\n", + "ax.xaxis.set_major_locator(dates.MonthLocator())\n", + "ax.xaxis.set_major_formatter(dates.DateFormatter('%b\\n%Y'))\n", + "\n", + "fig.autofmt_xdate() # Auto fixes the overlap!\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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pZXl2IaN7H7wZnKryl0828PDMdUzol84/LptAZkp8kz/nxlOG8NHq3fziteVk\ndYpneM9OxMVEMbCru4htaqUgVVhWzTXPLiA5PoY7JsRxwQkD6j0uOkpIjItucCfVUb06k54UyyMz\n17FlXxn3XzDqkEAX7vytw52FwZuHVlBWxQMfrGFS/3QuGN+LimofAHtasSX15cZ97Cut4pwxbk7U\nN8f14twxPYO6NqIJH+3rrzI4KoGTVXUMMBaYISJTgJnASFUdDawD7ghhGRtly95SPl23h6uO709c\ndBSvL84+6PmK6lp+9uISHp65jvPH9eL5HxzTrAAFEBcTxR8uGktheRUrc4oY09sFpP5dkhFpnTT0\nWp/ykxcWk1NQzmPfG09GQvNP3+go4cQhXdmyr4xeaYl8a3zvFpcv2Pp642Zb88qC9pm//3AtheXV\n/Oa8kYi4G4HkuOhWbUm9vTSH1PgYpg3tuv8xC1CRy4JUHer4c6ZjvS9V1Q9V1T8haA4Q9le15+du\nJSZKuG7qIE4e1o23l+ZQU+vd+RZXcsk/5/DmkhxuO2Mof7hoTIuz2Eb07MTPTj0KgDFeiy0hNpqe\nnRNbJQ39xfnb+WzdHu49dyQT+rW862fqUe4ieMP0QcTFtL8/hV7piURHCduDFKSW7yjk+bnbuPzY\nfgwPGB/KTI1nX2nrtKQqqmv534pdnDGye9hmVZrgEtWGJzRGKhGJBhYCg4G/qurP6zz/NvCiqj5X\nz2uvAa4ByMrKmvDCCy8c8fNKSkpISWl4TbHmqKxVbp5dxogu0fxobAILd9fw6OJKbp4QT3pCFH9c\nWEFxlfLD0fFM6t56vb61PmXB7lrGdYsmLtrd/f5+fgUl1cqvj2vZHJfHl1Wyal8tf5zuWhAtrbca\nn7Jwdy0Ts6JDvrZgc932aRmD0qK4bsyBxJC2OJ98qvx2TgV7y5UHTkwkKfZAff12Tjlx0XD7pJbP\nYVqcW8OfFlVyy4R4RnUN/mhEW9RdR9WSupo+ffpCVZ3YmGNtTKoeqloLjBWRNOB1ERmpqisAROSX\nQA3wfAOvfRx4HGDixIk6bdq0I37e7NmzacxxTfHqwh2UVi/llnMnMWVgF46tqeWZNR8zc1cCm/aU\nkJIQx2s/nNRqyQyBTqnz/eyilbyycAdTp05tUar0g0s/Z0y/eKZNc2uxtUa9ndqiV4feURvmUFJZ\ny7Rpx+9/rC3OpxfmbWNT4XIeuXgMZ447uBPh+W0L2J5XxrRpJ7X4c758dxVxMVu55vzpR1xlvy20\nRd11VMGfKLwqAAAgAElEQVSqq/bXxxFEXmLELGAGgIhcCZwNXKph3gT9csNeMlPiOcbLiIqPieas\n0T1Ynl3IwK4pvPXjE9okQNVnQGYyJZU17ClufpdQda2PDbnFDLOVqQ/SNyO5zbv78kurePCDNUzu\nn8E3x/Y65PnMlPhWS0GftyWfsb3TQhKgTHiyllQdItIVqFbVAhFJBE4DHhSRGcDtwFRVDd5IdTMt\n3l7A+L5pB7Vcbjx5CH3Sk7jyuP4NZr21BX+G38Y9pc3eh2nTnlKqa5Xh3W2uTKB+XZLIK62iuKLt\n0tAf+nAtRRU13Hve0fW2hDNT3MoXLd2SpayqhpXZhVw7dWBLims6GGtJHaoHMEtElgHzgZmq+g7w\nFyAVmCkiS0TksVAW8nDySqvYvLeUcX3TD3q8e2e3bXYwAxS4DD+gRXf8a3b5d2W1llSg/Rl++9rm\nvim3uIL/ztvGZVMOTpYIlJkSj09bvgHjkm0F1PiUibbZoAlgLak6VHUZMK6exweHoDjNsnhbPgDj\n+6Yd4cjg6Jrq0tpbMpdm9c5iYqOFgZk2qB3IH6S255UxsldnVu8s4mezynhrVFmrzJ1aur0QVTh7\ndI8Gj+mS4iYV7yupavYUBoB5W/IQgQn90o98sIkY1pLqgBZtyycmSg6ZuBsqCbHRpMTHtGjcYs2u\nIgZ1TWmXqeJtyR+I/HOlPlixi4JKZdba3FZ5/+U7CogSOLpnw+OXXZJdYNrXwnGpBVvyGd69U70r\nhJjIZX/xHdCirQUM79Ep6N16h5OZEsfeFkz4XOOtgm0O1ikhlvSk2P3dfV9vcov5zttc/2aUTbUs\nu5CjslIPey51TXUtqZa0lGtqfSzals+k/taKMgezINXB1PqUpTsKwqarzy8zJZ69zczuyy+tYldR\nBcOasJ5gJOnbxWX4VVTXsmSbW6lr7uY8WpqAqqos21HIqCNkgR5oSTX/JmRlThFlVbW2Pp85hAWp\nDmbtrmLKqmoZH2b9+i1JU16zqxiAYdaSqle/jCS25pWycGs+VbU+xneLZm9JJZv2tmwpquyCcvJK\nqxjd5/A3PJ0TY4mJkhZ1587f4lp+kyxpwtRhQSrM5JdW8cQXm5udCbfIS5oY1yfMglRqXAuClMvs\nG24tqXr1zUgip6CCz9bvITpKOGeQG9NpaZffcm/LldFHaElFRQkZyXEtaknN35JH34ykQ7ZUMcaC\nVJgpqazhvndW8d7ync16/aJt+WSmxNEnI7y22c5MiSe/rJpqb+3Aplizs5iM5Lj9WYLmYH27JFHr\nU95YnM2oXp3p3ymKzJT4FgeppTsKiY2WRqX9d0lp/vp98zbn8fHqXE46KrNZrzcdmwWpMNMnI4mj\ne3bifyt3Nfm1tT5l4dZ8xvVND7tttv2pyc3Z7nzNriKGdU8Nu58pXPTz0tB3F1Vy7KAuiAjHDMho\neUsqu4Bh3Ts1avWHzJQ49jSjJbWzsJwbnl9In4wkbjvj0E01jbEgFYZOH9GdxdsLyC2qaPRr9pVU\ncuW/57F1XxmnDOvWhqVrHn+QaurSSLU+Ze3uYobZShMNCpwPddygLgBMHpBBdkE5O/Kb1228P2mi\nd+OWzspMiW9yCnpFdS3XPbuQ8qpaHr9sAp0TLfXcHMqCVBg6Y2QWqjBz9e5GHf/Zuj2c/egXzN2c\nxwMXjArLHWb9acpNHZfavLeEimofI3pakGpIVmoCcTFRxEYLE70tTCZ7WXLNbU1t2VdGcUXNEcej\n/NwUg8pGZxSqKr96YwVLdxTyh4vHMiTLxhtN/SxIhaGhWan065LE/1YePkityC7ksifmcvmT84iP\nieK164/jO5P7hmW3mL8l1dS5UiuyXdLEyF4WpBoSFSUM6JLMuD7p++czDc1KpVNCDHM3NS9ILdvh\nUtkb25LqkhJPRbWPsqpaAKpqDj/2+MzXW3ll4Q5uPGUIZxzdvVllNJHBlkUKQyLCGUd3599fbqao\novqQGfjb88p4+MO1vLEkh/SkWO46ewTfm9I3rFeOPhCkmtaSWplTSFxMFIO62nJIh/PH74w9aJPA\nKG/n4Zmrd3NvdW2TNxBcvqOQ+JgojmpkCyfw9/vvLzfz5JdbePfGE+jR+dAEnrmb9nHfO6s4dXg3\nfnbKkCaVy0Qea0mFqTOOzqK6Vpm15sDyNvmlVdz3zipOefhT3l+xixumDeLT26fz/RMGhHWAAkiK\niyYhNqrJE3pXZLukidhoO1UPZ3iPTgzITD7osUsm9yWvtIr3VzQ9U3RFTiHDenRqdL371++buzmP\nP328nrzSKh58f80hx+UUlHPD84vo2yWJP1w81raFN0dkLakwNa5POl1T43nqqy3sKa4kr7SKZ+ds\npbSyhgsn9OGm046ie+f2M6dERJo8oVdVWZlTyFmje7ZhyTqu4wZ1YUBmMs/N2cb5dTYqPBxX70Wc\nO6bx9Z7prTpx3zurSIyN5sKJPfnP3G1cdmw/JnjjZBXVtVz77EIqa3w8ftlEW6PPNIrdnoapqCjh\ngnG9WLytgN++u5q/zd7I5P4ZfPCzk3jw26PbVYDyc0Gq8WNSO/LLKaqo4WhLmmiWqCjh0mP6snBr\nPqtyihr9uu155RRX1Bx2Udm6Mr3EmOKKGm6fMYxfnTWc7p0S+PVbq/D5FFXlzteXszy7kEcuHsvg\nbtZ9axrHWlJh7BffGMaPT3Y7hERHCUlx7fvXlZkS36SU6JU5bsWDYO0g3BF9e0JvHvrfWp6bu5X/\nd/6oRr1mxf56b/zNQUZyHCIwunca353cl6go4Y4zh/HTF5Zw8sOzKSyvJr+smp+dOoTTRmQ162cx\nkal9X/U6OBFps91WQ6FrahxLtuc3+viVOUVER4ktLNsCaUlxnDOmJ28szuaObwxr1Pm0MqeQ6Chp\ndNIEQHxMNI9eMo6xfdL2jzOdO6YnC7bks7uogq6p8Qzrnsqlx/Rr9s9iIpMFKRM0mSnxTdpmfEV2\nIYO6Jjc5M80c7HtT+vHKwh28sTiby47tf8TjV+YUMaRbSpPr/ew6Y4ciwn3fHNmk9zCmLhuTMkHj\n32a8sUsjrcwpYmQTxkVM/cb07syoXp15ds7WRk22XZFd1KTxKGPakgUpEzRNmSuVW1xBbnGlrTTR\nCkSE703py7rdJczfcvju1tyiCvaWVNrkaRM2LEiZoMlMafzSSCtz/CtN2B19azhnTE9SE2J4ds7W\nwx7nT5qwlpQJFxakTNBkpjauJaWqvO9tVWItqdaRFBfDtyf05oMVOw+7yO9Kbxmq4Y3YnsOYYLAg\nZYJmf3dfccNjUj6f8uu3VvLSgh1ceVx/m/DZii49ph/VtcpLC7Y3eMzKnCIGZCZ3qKxS075ZkDJB\n0ykhhrjoqAZbUrU+5RevLePpr7fygxMGcM85I4Jcwo5tcLcUjh3Yhf/M3Uatr/4EihU5hdZ6NWHF\ngpQJGrc0Uhx76glS1bU+bnpxCS8t2MGNJw/ml2cND8vV3Nu7y47tR3ZBObPXHlgT8uUF2zn3L19w\nzqNfsCO/3DIqTVixIFWHiCSIyDwRWSoiK0XkXu/xC73vfSIyMdTlbK8yU+MPGROprKnlx/9ZxFtL\nc7h9xlBuPn2oBag2ctqILLqlxvOcl0Cxs7CcX72xgtLKGjJT4jh9RBZnjrKtM0z4sMm8h6oETlbV\nEhGJBb4QkfeBFcAFwD9CWrp2LjMlnp2FB3Yc9i86+um6PdxzzgiuOn5ACEvX8cVGR/GdSX14dNYG\ntueV8egn61GFp66aTJ+MpCO/gTFBZi2pOtQp8b6N9b5UVVer6toQFq1DOCorldU7i/j5K8vYXVTB\nVf+ez2fr9/DABaMsQAXJJcf0JUqEe99excsLd3D5sf0sQJmwZS2peohINLAQGAz8VVXnhrhIHcZN\npw0hSuCxTzfyyqIdADxy0Vi+Oa5XiEsWOXp0TuSUYd34cNVuOiXE7F/E2JhwJI1ZJiVSiUga8Drw\nE1Vd4T02G7hVVRc08JprgGsAsrKyJrzwwgtH/JySkhJSUiJr64JNBbW8tr6a6X1jmJDVvHulSKy3\nxmhMvazcW8tDCyq4eGgc3xhg6eZ+dk41Xkvqavr06QtVtVFj+xakjkBE7gbKVPX33vezOUyQCjRx\n4kRdsOCIhzF79mymTZvWwpJGHqu3+jW2XpZuL2BUr862O24AO6caryV1JSKNDlI2JlWHiHT1WlCI\nSCJwGnDoPtjGtHNjArbVMCZcWZA6VA9glogsA+YDM1X1HRE5X0R2AMcC74rI/0JaSmOMiQCWOFGH\nqi4DxtXz+Ou48SljjDFBYi0pY4wxYcuClDHGmLBlQcoYY0zYshT0NiQie4DD7zLnZAJ727g4HZHV\nW/2sXprP6q7xWlJX/VS1a2MOtCAVBkRkQWPnDJgDrN7qZ/XSfFZ3jResurLuPmOMMWHLgpQxxpiw\nZUEqPDwe6gK0U1Zv9bN6aT6ru8YLSl3ZmJQxxpiwZS0pY4wxYcuClDHGmLBlQcoYY0zYsiBljDEm\nbFmQMsYYE7YsSBljjAlbFqSMMcaELQtSxhhjwpYFKWOMMWHLgpQxxpiwZUHKGGNM2LIgZYwxJmxZ\nkDLGGBO2LEgZY4wJWxakjDHGhC0LUsYYY8KWBSljjDFhy4KUMcaYsGVByhhjTNiyIGWMMSZsWZAy\nxhgTtixIGWOMCVsWpIwxxoQtC1LGGGPClgUpY4wxYcuClDHGmLBlQcoYY0zYsiBljDEmbFmQMsYY\nE7YsSBljjAlbFqSMMcaELQtSxhhjwpYFKWOMMWHLgpQxxpiwZUHKGGNM2LIgZYwxJmxZkDLGGBO2\nLEgZY4wJWxakjDHGhC0LUsYYY8KWBSljjDFhy4KUMcaYsGVByhhjTNiyIBUEIiKhLkN7ZXVnWpOI\ndBORUd7/7frXCKH+G7RfUhCoqgKIyJBQl6W98dedOUBE4kNdhnbsIuB5AFX1hbgs7ULg32AoApYF\nqTZS9y5NRM4H/hWi4rQbgX8E4kwWkbu87yPyfPXqIV5EHgdQ1UoR6SMi40JdtvZARDJF5GPv/HkC\n2CEi13nPReQ5dTj1/A32EJFHIDQ3jfYLamUiEg3uLk1EuopIkvfUB0C1taYaJiIS+Efg/b8UOE9E\nkiP5zldVK4HjRORBETkN+Bx4UETuEpG0EBcvbIlIrKruBS4F0lS1HPgLcJ2IpHh/p9alHKCev8Fi\nYJKI9A9FeSxItTJVrfXuen8KvA3cKiInAJXAJqAspAUMQ/67WVVVEUkVkd+JyFARiQWKgK+BiLsQ\ni0hUncB9DnC99+8o4BdAJnBlaEoYvgLOqWoRyQRygb0iMlpV3wOWAff6Dw9RMcOGv778AVtErheR\nk72nM4C1uBvGoLMg1UJ178JE5BjgVSAGuBr3y/07kAVMAobW97pI5m8hicgPgQeAwcCPgJuBbOB4\n/7GRVG+q6vMC92QRuVpVN+O6q05V1WLcuTULGC8iw0Na2DATcE59DxeQMnDn1h+9Qx4ETheREZHc\nmvK686ICeik6ef9WAz8TkR+o6jZgIDDB/5pgltGCVDMF/HIDBxWPAn4GdFHVh1V1laq+CDyHC1hd\ngKMhshMCvLqTgP/3FpEHgbOBe1T1YuAh4FzgfGA7MB06fr35u4u9/8eKyEPAU0CFV2e3Aj1F5HhV\nLQWWAluBH4eivOHC//cY8H28iNwG3A1MVdW9qnoncJSIXKCqK4HXgZCNtYSSNxQRr45PRMaIyGvA\nn0TkXFX9F/BLYKqI3At8CAyB4NeVBalmCvjl9hGR20Wkn6quA14EdorIcQGH/x4XqHbj3akEXowi\niT+wey2Ezt4Jnwf0ABIBBVDV7biurXHAKf7HO+odr//nUtVa7/vRQGdgGDBJVf8DRHvP3wX81Tt+\nM/ApMDsExQ4LAeeUT0T6i0hfbwxvIa6bOCPg8NtwrShwrap9ItKlo55X9RGR64EVwKne96fj6uIx\n4H/AT0Xku6q6HPgJ0A+4EUj1jg/qtcuCVBPU07V3J/AW7mJyq4hchfslb8ANcvuTJqJUdStuDOEs\nOHAxijTehSReRB4GXvXqLBU3mL0Hd1H2H7tMVX+F6+I633usQ97xBkxTGCUiM3HjTlOBAqBKRBID\njn0UyBSRW7yHPlHVl4Nd5lALCOw+EYkTkQeAmcDzInIz7kL8MK4XA+/Y/wLRIvJzVc1T1e+q6r6O\nel41oBzYB0wWkR647tCLcPHgdmAvcJaIDFPVAlzX+/24czLo1y4LUk0QcCFJFZFOuF/0RFym1XTg\nh0A34B3c3cep3uuqvbcYAKwQkZggFz1siEgf3DyVfcAtwLeAG1V1Hq7barr3hxN4x/Y3YE9Hq7e6\nd6Qichmu1b1AVX8HzAVGA71UtVxVa0RkrIgk4LpC50HkzfcRl914UGDHBaNBqjoE1+U+GTgZ+Ajo\nLCLnBLzFicCfA96vQ18HReR0EflmwE2zAoW4JK5vqOouIBa4Bvgu8FPc9etSAK9b+S1gnoRgjl6H\n/uW0Bv+FRFymVayIXA08oKpFuDv8W3HdLzfgstB+oqqf4U6A7v4Lq4h0wwWpJ1S1JgQ/SlDV0+oc\nJCLHAjuAX+G6P38NpAADReQbwOO4oH+8iIiXKZkG/Ako7ij1Fti1JyJJIjLWe+oTXDYj4tKjd+Ay\nRB8SkZtE5A/AP4GhqrpIVT8PRflDxRt3+jHwPxG5QkT6eU9V4M6jVBGJUdWFwGe4hJsVwJfATwKC\nUY6qlsuBDMAOG+RFJB34A/AkcKf38Ju41lIqMEhERgD9gZGquhpIx91EpohboSMa+C3Q2+tGDSoL\nUkfgv1B6mVbVuItsoojM8C6aQ4ArvcCUCFwkIpOB36nq4/4Lq6rmquovVXVuyH6YIKqTUJKEu0O7\nBOimqmtwYwNvq+o0XPfD1bgxu9eBdQGvrwB+oaq3B7H4bUJEThaRzIAWwE3AF8DN3iB/IfAabtzS\nP5/uXtxYQXdcCvA0VV0a9MKHgYDxyyKgN/CAiCSp6nrcebMBL8EGeAE4DUgAXgZu8wcjf/135OAU\noBC4A3cD/Q0R+S4wBXgF+AqIB05R1a9wKfpv4YYs/quqN3nXrVrgX6r6rVD8ABak6mig6f+JiPza\n+/9i7+t87/vBwMXiVkXIwLWoFngtrQ470F+funUnbq7FGFUtw6VKVwEzvNblWd5jAHG4QDVcVZ9W\n1WX+91DVClVdEpyfoO2IyC9xXU/f8L4/B9elcgyuu/h7uO7iF4FoYIqIZKhqtap+DNyhqnd5XS8R\nJ+Dv6BPv6wNcsPqTiAzEZZ/l48aGj8VNX1gMVKnqrggO7D5cAsnnuHma+cDPcdep5bgxvGHips6c\ngmt1jVXVFwD8PUGqOjvohfdYkArgdTH551dMkQPLzvwUuF5cyuYeYA5u4HoacJl3zBjcheSdwDu0\nSBqQDai7H4jId3BB+7fe018Ca3BzLaKAZ4GnRGQDLmHielVdFPxSt506Y07bca2moSIyEneRvQc3\nIP0D4L+4O9zB3v/PxM1NASLmrr9BAX9HnYE8VV2oqtcC43FjlkNx3e/luMH/VOBH6laYiHS7cEEq\nAdgC/BvXPToa15qqxCUsVarqbFXNkwMr54S8i10i6BraKCLSF/h/uF9aEvBjVf1ERF4GilT1+97d\nxftADXCZumVX/K+PipQLSsDYir/7qjtuXkoX3PyTdbgkkodU9XVv7OXvwH9U9VERGe+9fpH//TpC\nUPfq5SHc+fF3Vd0qbu3Ge3ABqAJXD32Bu1T1ChFJwQWxhd45dmKkjTkdTuC5ISJzcS2AibhW58fA\ntbh06aNxF+A/q+oeb4wq5BfatiIiGUC8qu6s+/cjIv4pC3hju9cC/VT1BnHLs+Wp6j4R6aaquaH5\nCY4soltS9WRXTcHNP9msqhNxYwHfF5Es3C/4Aq+F8H/AZuD+SAxQ3mB/D/UEdMUMxqWyvqeqc1Q1\nD3eX+0vv+fVACdDb+8NYpKqLvAHxqI4QoDwpwFG4cbYHxC3v9D4uCCXixlMm4O5sv+1lTF2Am5j7\nlXdhjagAJSIZciCrs27STXSdc+M1XFr0s6p6mqo+gEuuWQe8i6vf071zqiMHqLuA+RzIIvYHcX9C\niD9A3YIb43wH6CpuDtR6Vd3nHZfrHReWQxMRGaTq+SVmek/l4pYD6el9/yiuji7yLriX4FJbk4Gf\neskS+0VIgOoK/Ab4pvf9L4H7ReR0Vf0CN9/pbP/xqvockCci7+Euwm/iEiFyA47RjlR36pYsegA3\nAN0H1513HW4M4DVcl9RpqroCF8TfxY0RPKCqEZH9GagJF9tbRWQSLsHmT6r6vHcDgKr+UVXXeXX6\nZ1V9viOdU4FE5HIR+RJ3ndqGG9P1r1ASOGTRT0T+g5tvtxp3k/ghbom2Q4TrTWJEdfeJm8W/IuCX\neCYufXwpkKuqd3sD2ufgUsXnipuN/XPchXV+nSZ0RLSc4JDulmuBQbg/Eh9uxYPbcfOedgI3AW+q\nN8FURFJxYwdb1E1q7vB153XDfAc3V+d3uPlP47zvo3BB60NVfUVEuqubqxJRRORyXA/FMlz3+nOq\n+oQXeGoCzrd+uLG7VNz8sHNw3ai96rxfhz6n/MRNRXhXVT8WkW/j5hmeFPD8FNwcp9nAXHVTGfzP\nxalqVbDL3BIR05Lyuuzuxi3vgYic4v3/euBp4HJxi1G+C+RwYHb1h7g5F4Xe95EYoOp2t7yLGwsY\ngUt4eAI3BnMibn7Y+8BVIpIMrmWhqp96YzP+lb07bN1550Ye7rxR3NI8twPvef9fgrurzQeIxADl\nGQvcrarX47rZrwA3+d3rRp4iIo/ixp5uV9VzvFb3W3grtwTqqOeUuP2wZoi3VYaq3uwFKMHNd1rt\nXd8QkcHAM7ixzVf9ASogEaLK+779XPtVNSK+cDOqzwXewDV3E3BjB1fjUlUfxs2zSMVlWb0MnBPq\ncoewvqK8f/2t7RRcF9b5uMSI8biL7vkBzy/BdYd2x3X7jQn1z9FGdXMqMKGB5yTg/2m4C++L3vmX\nACR4z8WE+ucIQb1lAjOA/nXrDJgG/API8h4bjBtjurLOsTGBrwv1zxSEOjsLl533FG7V+yn+v03v\n+XHAIiAl4LHojlRH7SeatpC6ibhzgI24VSEqcBeRs4ALVfUWXCvgAVWdg1v94CP/68N1ULEtiMiN\nuLESVFVF5FRcNlUerltmJm4m/xzc+l99VLUEl0ySoK5lcKN2sLkpIjJORN7HTRwdHPC4yMF7Yk0S\nkXdxKb6zcfPDblc356vCOy7Sxp3Owp0z38GtGDElsM5wPRWT8PYsUtUNuHlzT3mv92eS7q8373Ud\n3dm48e8rcUs5XYe7EQRAVRfjNiW8APa34msDWk7tvo4iJkh59uAGrseImwPVC3cXlytug68vgSxx\n86Fmqls65aA0645MRM4QkVm45WT+FvBUJm6u2Lvecznqug0+BEYCT4vIh7jWwlLYv+hnhwjsIhIt\nbuv2f+Lu9v8DDPeei1HHJyLJ3sD+lcD/VPUzdWNwT+OtsxfBIv5i2xgiMkBEsgL+dgpwy6mhqn/F\nXcOmiVtmzT/Z9n+4Vjp6YFWNDrOAdYdZsFMaMV/Au8tdgZvY9kPcHjx7cV17g4FLvVbUfhH0x5GJ\nW9trh6pe6j3WVd3k5dNx3Xu7gSdV9UWvjueIyGe4ZXzeV7e0yn4dpe68i+VM3EW2XEQqgDtE5AF/\ny0jciiQTcfPDfhz4s6vqR/W9b0cmIgNwPRO5Xl0cdLEVt0/WNBHZpKq5kXCxbYgXkKJx47pn45Yw\n2oDLot0GZIhIb3XjS6/ixtIzcXVbI27Dy50hKXwQdIiWVBNSWG/BzV95HzducqqqXgP8XFUH+QOU\nROZeTwW4cTmfl7r6O+AxcZNMnwUGqOoZ6jZxBPiLl0X0N3XL9XwFHafuROQSEfmNiJwLoKovB7Ss\na3DjJUnesd1w59VPVfVj72aoQ7Qim8Lr9owRkUdwreyHcNmz4C620SLS2/v+VVx3aCbs78YbTkA3\naqTwrlcDcb0SE3DB6Rhx6zm+gauTcd7N9hzc+O/pAW9xK26x5g6pXQcpaf58gXW4pecv9VIyl3jH\n+dep6vB3b3V5F4m5uGC1AndHe42qlqjqLOBDEXlORP4sIotx3aTL1VtLru4NQXvlXWivw2Xjbcat\nQH6VF6z9F5Q1uHXO/Hf9uer2JdpYZ5wlotjFtmlEZJqIXCQiPXGrj6xV1SJvPO5nuJ6NctwwxFTc\nUlkAC/AyQz25qlrWrjL2mqC9/1BNTWE917voVuIy0QpxKwDgvS6iBrPrkYtbtmc+8Bd1S6b496D5\nPm7xyWzgKlW9QQMWO9UOkv7rXWiPxSXQ/Bu3ssGpwEkB45M7cAH924GvlQialhDILrZNIyLdReS/\nuJ6LGbixzmTc4ssZAOpWdv8v8Ht1W7kvAn4jIm/jxjy/9r+f/4aoo5577epkkNaZLxDnvd2luAmp\nEbEApRxh2RnYf7KvwiVI3OU9VuYdX6xuGaMHVXWJ1+JoV+dPQ7wW+VT/BQLX2u7lJUV8hJtsegJu\n9QjETTZdj5eJ5tdRLxINsYttsx0P7FLVCap6Ne7apbjW5j8Cjvt/QD8R6amq/wEuBx5T1YGqui7o\npQ6RdnORkdZLYfXPtv4QOE/b2ezr5mjimN0Q3ArdKSLi35lTA7uv/Ikp7fli4gXZHuKyGa/A3bQ8\nKm7H5e24HZb94yMv4sZL/BfealxXVf9glzvM2MW2eT7B7RPm9ylwBm6Ny+NFxL8nVhRu1fI9AKq6\nXFXfhQNDE5Gg3QQpWimFNSBYzezo3XstGLNbj5sL1a2+923v4y1yYAWNVCBbVU/BrTxSiFuv8SWg\nKzBJRDqr6hbvufMD3uYWVb2LyGYX22ZQ1XxVLQh4aBKw0RuG+AVuW6CHcQlLcQ28R4e+dgUK2xNE\n2iiFtb1fYJvIP2a3f40v3JqE1XDIGl+368FrfD3d0VqZ3g3Lfbgss/dwqfO1sD/N/Ce4VN4RuLlQ\n5wkLILUAAAPCSURBVONW1L4ft0bh/rlOEXYe1UtV8+s8NAlYr6qVIuK/2J6NGxPe0sB7RMzFti45\nsI5eOm5jQnDn3VzcuN1Cr+UZ0cKqJeV1wVgKazO10phd+13j6zBEZCruQpCOm4NyH27F++kiMhn2\n39DcCzyobjfcx4ETxO1flI4L5qaOgHHeuhfbu4AdwD9U9Qr/zZFxAm4CBcgWkTuAfwF7VPURf4CS\nDjKto7nCqiXlZeQFprB2w20PfRvwHK5ve5yI7FQ3kfROXArrKu8tbsV1+UUcb8zuCdx40rEicgUw\nT1V9Xr0eMmYnIsMDxqP840x1W57tdtypDh/wsKo+C26JI1zL/G7cBoQTvID8Kq6F3l9Vl3njcsmq\nmh2qgoe7Bi62Q4GbVfUR/3ESsIOAcURkIu4aNgC3Nt+d6hYnbvBvMtKExV2yWApra7BlZw5vIfBS\nwF3pl0BfL7EmWkR+4gXk3rhtIrYAqGqBBagjC7jY/gfXXXpX4MUW2v8cujZSgssevUlVL1PV7RLB\nc+3qE9KLuaWwNp/YGl9NoqplqloZ8POehjeQD1wFDBeRd3Dn2qJQlLGds4tt86xT1amq+iVE7ly7\nwwl1d58/hfUScIP1HJzCeqF33P8D/u1PYRWR5bi74HdDUehQ8QKSrfHVAl5LSnHbtbzlPVyMa62P\nBDZby6lZ1qnqVP83drFtnIAMW//6olZndYS6W8xSWJvAuyO1ZWdaxodbrX0vMNprPd0F+FT1CwtQ\nzRN4sQ383jROpPRoNEdIL/CWwto4IjINl0TyBQFjdkCRiPwMlxr9Tw6M2QG8Tf1jdhrJd7nezz8O\nl3o/APi3up2FTSuwi61pbf5dV0NbCG++gIi8APxdVT/1WkiDcEkSuyNxvoCIdMdt/XAUbp+mLFxa\n9MPA5ICB6b8Bcar6AxH5LnAbLvX3aGCGRuas/gZ50xguA/6gbgKlMSZMhUWQ8hORF3FdfRdyIIU1\nL+D5iEphFZFvASeo6k3e90/jxppOAvqp6oXe472BfwNXqGqOiIwiAsfsjDEdT9iM59h8gXp9Anwc\n8L1/zO5mYLOITFe3jcYhY3bActi/c2yH7xI1xnRMYROkOJDCemfddMxITWG1MTtjTKQLm+6+uoP5\nkTy4X5eN2RljIlXYtKRsvkDDbNkZY0ykCpsg5WcX2frZmJ0xJhKFXZAyDbIxO2NMxAmbMSlzeDZm\nZ4yJRBak2hkbdzLGRBILUsYYY8JWqBeYNcYYYxpkQcoYY0zYsiBljDEmbFmQMsYYE7YsSBljjAlb\n/x8NZYv8TM0SkAAAAABJRU5ErkJggg==\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots()\n", + "ax.plot_date(idx, stock,'-')\n", + "\n", + "# Grids\n", + "ax.yaxis.grid(True)\n", + "ax.xaxis.grid(True)\n", + "\n", + "# Major Axis\n", + "ax.xaxis.set_major_locator(dates.MonthLocator())\n", + "ax.xaxis.set_major_formatter(dates.DateFormatter('\\n\\n\\n\\n%Y--%B'))\n", + "\n", + "fig.autofmt_xdate() # Auto fixes the overlap!\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Minor Axis" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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BxLhYquoauP+AZzQNyUgmp28vPtmwm28cM4w1BWX8/aPNXDQlh1+eP56UxO5z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\nQHseP5KaNtb33cJEgG2Mnfjsr4xdwAN4P8t5Zpb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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots()\n", + "ax.plot_date(idx, stock,'-')\n", + "\n", + "\n", + "# Major Axis\n", + "ax.xaxis.set_major_locator(dates.MonthLocator())\n", + "ax.xaxis.set_major_formatter(dates.DateFormatter('\\n\\n%Y--%B'))\n", + "\n", + "# Minor Axis\n", + "ax.xaxis.set_minor_locator(dates.WeekdayLocator())\n", + "ax.xaxis.set_minor_formatter(dates.DateFormatter('%d'))\n", + "\n", + "# Grids\n", + "ax.yaxis.grid(True)\n", + "ax.xaxis.grid(True)\n", + "\n", + "fig.autofmt_xdate() # Auto fixes the overlap!\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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mJyVeT3GppC2GYeyVtEORnuInJX3LMIx9A69vlPRZK4sEAAAYKtpTPFUjTaDw+YP69C93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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(figsize=(10,8))\n", + "ax.plot_date(idx, stock,'-')\n", + "\n", + "\n", + "# Major Axis\n", + "ax.xaxis.set_major_locator(dates.WeekdayLocator(byweekday=1))\n", + "ax.xaxis.set_major_formatter(dates.DateFormatter('%B-%d-%a'))\n", + "# Grids\n", + "ax.yaxis.grid(True)\n", + "ax.xaxis.grid(True)\n", + "\n", + "fig.autofmt_xdate() # Auto fixes the overlap!\n", + "\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Great job!" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.6.1" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/04-Visualisation-Matplotlib-Pandas/04-02-Pandas Visualisation/Pandas Data Visualisation.ipynb b/04-Visualisation-Matplotlib-Pandas/04-02-Pandas Visualisation/Pandas Data Visualisation.ipynb new file mode 100644 index 0000000..b84721a --- /dev/null +++ b/04-Visualisation-Matplotlib-Pandas/04-02-Pandas Visualisation/Pandas Data Visualisation.ipynb @@ -0,0 +1,772 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Visualisation de données intégrée avec Pandas \n", + "\n", + "Dans ce notebook, nous en apprendrons davantage sur les capacités intégrées de pandas pour la visualisation des données! C'est construit à partir de matplotlib, mais il fusionne avec pandas pour une utilisation plus facile! \n", + "\n", + "Jetons un coup d'oeil !" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Importations" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import pandas as pd\n", + "%matplotlib inline" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Les Données\n", + "\n", + "Il y a deux fichiers de données csv que vous pouvez lire en tant que dataframes:" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "df1 = pd.read_csv('df1',index_col=0)\n", + "df2 = pd.read_csv('df2')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Feuilles de style\n", + "\n", + "Matplotlib a des [feuilles de style](http://matplotlib.org/gallery.html#style_sheets) que vous pouvez utiliser pour rendre vos tracés un peu plus beaux. Ces feuilles de style incluent plot_bmh, plot_fivethirtyeight, plot_ggplot et plus. Ils créent essentiellement un ensemble de règles de style pour vos tracés. Je vous recommande de les utiliser, ils donnent à tous vos tracés le même aspect professionnel. Vous pouvez même créer les vôtres si vous voulez que les tracés de votre entreprise aient toutes le même look (mais c'est un peu fastidieux à créer).\n", + "\n", + "Voici comment les utiliser.\n", + "\n", + "**Avant plt.style.use() vos tracés ressemblaient à ça :**" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "" + ] + }, + "metadata": {}, + "execution_count": 3 + }, + { + "output_type": "display_data", + "data": { + "text/plain": "
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+ }, + "metadata": { + "needs_background": "light" + } + } + ], + "source": [ + "df1['A'].hist()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Appelez le style ggplot:" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "import matplotlib.pyplot as plt\n", + "plt.style.use('ggplot')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Maintenant, vos tracés ressemblent à ça :" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "" + ] + }, + "metadata": {}, + "execution_count": 5 + }, + { + "output_type": "display_data", + "data": { + "text/plain": "
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+ }, + "metadata": {} + } + ], + "source": [ + "plt.style.use('fivethirtyeight')\n", + "df1['A'].hist()" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [], + "source": [ + "plt.style.use('ggplot')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Restons-en là pour le style ggplot et montrons comment utiliser les capacités de traçage intégrées de pandas !" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Types de graphique\n", + "\n", + "Il existe plusieurs types de graphiques intégrés à pandas, la plupart d'entre eux étant des graphiques statistiques par essence:\n", + "\n", + "* df.plot.area \n", + "* df.plot.barh \n", + "* df.plot.density \n", + "* df.plot.hist \n", + "* df.plot.line \n", + "* df.plot.scatter\n", + "* df.plot.bar \n", + "* df.plot.box \n", + "* df.plot.hexbin \n", + "* df.plot.kde \n", + "* df.plot.pie\n", + "\n", + "Vous pouvez aussi simplement appeler df.plot(kind='hist') ou remplacer cet argument par l'un des termes clés indiqués dans la liste ci-dessus (par exemple'box','barh', etc.)\n", + "___" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Commençons à les examiner !\n", + "\n", + "## Surface" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "" + ] + }, + "metadata": {}, + "execution_count": 10 + }, + { + "output_type": "display_data", + "data": { + "text/plain": "
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+ }, + "metadata": {} + } + ], + "source": [ + "df2.plot.bar(stacked=True)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Histogramess" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "" + ] + }, + "metadata": {}, + "execution_count": 14 + }, + { + "output_type": "display_data", + "data": { + "text/plain": "
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+ }, + "metadata": {} + } + ], + "source": [ + "df1['A'].plot.hist(bins=50)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Tracés linéaires" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "" + ] + }, + "metadata": {}, + "execution_count": 15 + }, + { + "output_type": "display_data", + "data": { + "text/plain": "
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\n" + }, + "metadata": {} + } + ], + "source": [ + "df1.plot.line(y='B',figsize=(12,3),lw=1)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Diagrammes de dispersion" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "" + ] + }, + "metadata": {}, + "execution_count": 16 + }, + { + "output_type": "display_data", + "data": { + "text/plain": "
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\n" + }, + "metadata": {} + } + ], + "source": [ + "df1.plot.scatter(x='A',y='B')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Vous pouvez utiliser c pour colorier en fonction d'une autre valeur de colonne.\n", + "Utilisez cmap pour indiquer la carte des couleurs à utiliser. \n", + "Pour toutes les cartes de couleurs, allez voir :http://matplotlib.org/users/colormaps.html" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "" + ] + }, + "metadata": {}, + "execution_count": 17 + }, + { + "output_type": "display_data", + "data": { + "text/plain": "
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aa6kkG+isUDeQeUKtWqG678h1z3dxeY20P9yx1qKbqSigkMDc3BzqLvXG9u3bx8unMzaHtpj4WhV87NDe8K726nfzlrmLIoRHH32Uf/Nv/s0uLmZ32DMG6Fbik0tLSywsLLB0kzvTe8VeXdturevEHMRRnc2hg+tYPnW0y8WLd+f9bF9bP1UMUoVFsLIRUXE1dX+rwizTgjMbVQAOTQxwVWEKrbUYa5FiayqptfD62RmS3OXVlXk8dYGKm+G7hkQrXnt/HUtRZdb0rx7/cEvXzPr4bojMYqwQGK/C2jCD6AbH6Qxv+TQIQTp7+JrVb5dxAXf05/balvGYm5kii4dsbUeW4eY6HXv9Rt8sv/J9suPZTADaGC5dunRXhmJhYYHX3t9gdVDhsue23DGok+tM3KBR98PgXnw3d9vglVI8HxB7NT5ZshMp4BNHetf8m9pcxl89ja40SBburNExyop5QFBsj3EuqXmFcci04Dunp+mlRQ7qYjfkU4fWkDYnybY2Ut+VOKNYuR01j6bG4dsXDtEMEj53bI1u7I3LmnUuUIIdhu6WEZKktR+hU0CAMQTrJxHWoP0aaX1+Z1gsT6m/+J9xem0s4J9/i94zPwbq9qSGpHQQV462u8n1dh2JsZZcF1dYCYvYFpKTUu2Kl5JoBVfoYBS/K7lrHsDm4T1hgPZqfLLk1nBXTlE9+f3CE0Dgbl6if+KH76BeuWCsyLPt8FPr1bHxAeglLqfWaxxotHccm+YGx1EIAVPVhCiVGCRSGKaqGbmRO3pqQIzGZF+N7G8URtWvoluzCAy539jptQiBdXwwhsr6O6i8qApU6RAQpI358UODM6/j9Nrjl+b01vDPvUly+Mnbuj5CKfKggYqLZlYrHfLKzfNOvqvwt9k6rSVW66II4Qae2O3Q9BO6iYceXWMlNA3/3no/DwylB/TBsFfjkyW3RnDpvXHvjMDidNeQyRATVG/rPL4ynO9VSUd3zA0vYaY6yt3EA+AKtYB4CFcKFGyrHnt6f4dGkLMxdJmqpRyeHKItVzR2FonyK9ErZ6i//vvIdEhy4FFUHxACFXVJmwtXVbrJPEaOlB8uXweV9Hc8RpirJ7heKctzq5iwifGrCKOxyr2ju2OlnBuGAO+EqpczXxuwEQUgLFNBfNNG3ZJb426kePYqe8IAlTxgCLgt6bQ8g6TPIJ4kyl0uuz6dNKCXxNT9nEcG32cl+xRddwaARrbGo/H3ieQTaLM9lLT1xELAsZmdU0UdATVXM8iKMJ/EkmnBRuRQ83LcUbQof/OPUOmQvNLEVupjb06aDNttsxku4khD1SuqvKxyCskds2VQrNwZeor3P4a7ehYVF4ZJh3WSxYdv40JdgXSw0sGYvXVz3ApSWkHp9ew6e+lN3iVKA1Ry18SLjyKjDiqNsUKSNeduuSHTWgNJH4wm0h7b427GSoaZS93PcWsBX37/X/JmpShQeWz4XexDT2I8RZppjLHFqGz35vmGimeoeIZBKuhnDlgJFjqJw2SY7/yeCwFX5FuKMmMxKjU21FxN+P4PcLorCAzZ9AK20iRp7exjs2Gd/tM/SnD65eK6HXkaG9Ru6Tpdi5MXBb/1bUmaQb0Cf/ZHNLX7d8hsyU3YC8K8u01pgErummzqAH2vgrd2Bh02SOeOXTP/k+UWpUBu+5vOcxipRTdUn46uYSiMiCM1da+4k073P0Z14yIf3/wGAPnUPIOFhxFC4Hu39zFOcsH5boM4VwhhaPoRjrJoK8i0wHcszsPPEq9fQg075PEAGxaGYlNM0HbnEEbgyMIQVU6+gL/83thMqbVLdD/+8XFxQZJLLnQrSGHZ3xSYE5+//rXUsqjOk+aGKTRj4D9+U7HaKR602Yd/+4fwF77y4Ya7tIEoVfju3u0Fe2DYA6Xsu01pgEp2BV2fIqpPXfNvaWb5Z/9Bs7IBjoIfekbymSdHSWrlFF8sa5n2OiTWo6PrCKmYqUZUvNGGKgSDj30JkQyLxL8X3vYXMtOCb7zXohI6BJcrlq2ikwimKoOiOmx0k6n2HaX/+A/hL5/ECI88aNK2TTZpARKsLZo3lUENNnb4SDKNkWmECV3iTPLypSmirPiqrQ5CPr6wflXeyVo436vRT4sQZODkHG52r/sS4xTiK1JKg+Taj/2g2BwqvnNygjgrpJm+IC31B2+P3DvcZY/WXqQ0QCUfOP/xazkmjqk6igsbHr/7R4bHjwqaNVGEFYIqJEOwlsXKBouhvnZSXQjs5cIGa4qCg1s0Qp2B4P/7jTrDxFALU558xCHwR6XYViCwBI7ZYRh0fZphfXr8c78XFuG6YjGFGrZviiq4bVjHHQ98O7NZGxsfgEHqcqkXsr853HFMN/HoJv64DH2QuawMQ+aq0TVfT+BDxbf0hluvv3l7NR/XZSP2uNSvYm1RVHCw0bvmZf7B2SbduPDyUi359lvwxx59IG/U9wRlCK6k5HYxOX/s+CUmP5aRasEr50L+5+9M0e5C83L6w/GLf7ciNW0t4ep7OMNCADSrTBLPHL3xIcM+/+H3A7opgGWzB6++k/Pcx4pKNk8ZpsLstnXWlCjywoOHPoV4PUImA1AO0YEnbjj/yI4KH6Sw4+dMtRobnwIxrga8FlLAz35R8+++AUkmaNUs/80X7j78lmrJ+W6NzBRbQxw5uFKzUB9e9dhcyyt+LkKSlxuEP3SMxt+4gDA5aXMfxnvAEmJlFVzJXiU3go0oQAjDZJjsmYIZd7DOzEgGJ1SWpw5GvHg+ZXbiGh+9W7h1drvLeL1VxKjeWvSW0UGDrD5dGDAzyik5HgiB6WyQ//P/F4Pp/4HLE8GnJiTzMy6DRNL0Uw42ejc1Ps6gTSNz2VTTGOEgsIRuUfFmvZDe019BZAnWcWFb9duhVp/NyCfKi9db9xNCN6Mdj87hWOq+pu4nrMcBuSmOVcLQ8hOs0UWvjlKIK6rq5ibgv/up3c35RJkzNj4FgmF27UbZRpixGTlcLtKoh9xD42OoXXgVZ1T67g7WGew7gfF3yS3cC+yVL/UuUhqgB4A0l5zuNki1A1i6ScDhVmdvfF7tzg3Jcyw/9klLNbyzxamkPzY+ANIaVNIjq00hos54CivSwVYnMP/13yHWlwkmBnSByZbk6EEP1y2S/bFWODcRU1XRJsHmORZMTk2t0fOmcOp1Qn/baxAC6+0clG1tId/15L51lrpVhLC0wpjMFNbOIhhk4EhD6BoWa33WohBrYSKMqYoeNorA2mKsuVtBeteX29kNAifHkXpsCMESONfuVXrucAcloJcoPMfwU58M2Vj/QJd3XZxhe0fflcoTgo1zDOcfvTcL+gAo+4BK9iQrw8rI+AAIhrlDN/H2RC+G9mvIPEZcVo1WLvsWrl2i7a+dxhsWMjVpfY50YvGqx5zJFjhs2/ii8KoSPNJwAvIU8mQriGVybNyDUaPnj579J/z2wV9m5vARXHfrixznDp3YY7p6/Qy+N1hHjvp7GrpNI2ozDA+R+9PXPSbOFKc7DTItAENgu9S9HMHVobn1KGBeRtT9jLq/VVlgBvGWAbcWshhGBshag46jIhcmJcq//niJ28F3DPuqA1aGFSwQOpqF+uCaj1USnjvSGf8c+pU7nlNUcgvsiTvK3aU0QA8AVwc9BOa2OkF3H2thZRiQ5DXqwmNKtlFSkFUnr6nq6/ZW8DtL4/EGcuMc2q+hK80djzuVHWCocw7Jc1jgjD3IrDNBzfauVEdDWIt8/svosyeZ7i3xZ9/7O5w8/NdZ49Pjx0gMrrqxB2Tlzq+JRWDVjZW6z/dqJOObAkWmGhi9TJoqrJLjaKPAUlN94tTgOhL/hn1MxTvdHWrOdapYW8WXCVNqA80Q5zaVJ67HTDVmujJStrhP9ry8Oon266ik+BxoxyeePHivl7W7lB5QyV5kpjJkmLlko7BJoDKa91h/ay0K6KVFY+k6M3TEJAfr/evexLmDjatm6zhR5yoDpKThTfMob5oitOI7OYtqDaSPFQphi5xIEbIKkQda8PP/HeY7vw+ez9Gn54h6GcPMQQrLRJjgy5zuUFILzDUV7+PWIjIdorIhVkh00ET7V2oA7URfcQNgrKBZh1dPGo4cBm0EQlhCEeGOKu/y3LDc8ci0y6HpGClV0WgzfvEO2gjePJ+QjJSvU+1xcdBgECuaoeaJ+c1dMRr3i+EZIyT9xSfwN5fAaNLG/FUh0fue++5NuTmlAboHaK0xIxFIpe5ehThwDIeaHdajECkss5UIdQ19sw+TVEu2KwhoI8m0xHeu7W3kYQO3vz4eEWCEIg+u3uQfn+/ywnmHKJM4wnJoYjg6p8RWmpAMipyJF4JbbNJy8TDyZ35xfI4nq+sMUhcpLG9dcPndcy0mm8XQt48tdKn6V6xROgznHkGlhQEy7i30INlC5f3ye6utJEoAKZgOMy72K3hEVyXt1/sOr19s8s5yhR85YVEyAqNBKoQXkmi5s/9HCKSSDHOfYc/iO5qHZ66tWH4rWGv5/RcM75+3VCuCP/VDkjC4TzY+qUgmD9zrVXxwlGXYJXeLznOybLSDjAyR63m7YoQWrxOrvxdcaQCVNNcU/bTWcm4zZKV7gkdVxhwrCAlpbRpdnbjq8RVP89nDq/QSh+VBhcS4nNqocbjVRygXW2nddG1SQN3PGMSSS52AwwvgubAQv0vj0gqBo0kZAttyVUKi/VuXzRHCFmXVo5dsEJxeC3n2IYOSloX6gCiFbSN5SHPBWj8ABOsDj3dXqpxY2Pm5cKTBcyDdVhewNalWjBpZ75z//G3DH/7AkuUAlrUNzV/5b9UO9YqSe0QZgiu5W/J8Z0WRMTceD53kkvfW6mgrONTq0wzvTD35w2a2EpFrSWYEQsBEkOwwStaCsfD1N3MGSRXlwcvJcxit+dTiWjGIzeji3xU9NUrCUq/GRuwDgs3YI8kV89UhFS/Hc27N+xumkslmYXwm0yXm0tM4aMggO/8Wauo4Omxc89hMC1ItCV2NzdNCUghQrotyXJQsDNB4soS1PHZAjAfMSQFVH9JMkmtDlEpOrtVY7m31ruT66s+EKy0Hpl3OLMcYBFGqWB94gGVeLjMv+2D8HaXgt8N75y8bn4K1DnR6MHHty1DyYVIWIZR8mGRa8P3zU+O72o3I46l9bVr3gRGSAvY3BhhbbKQvnW8SZ5Kqr3l0vkcv9eilPoneasasBpq1rsNm7HOg/QL+xXfBGHS1Rf+JL443VWthmG31n4BgdRDw3nJI4BgeX+iwr7Gzqs3treDEXYwbkjQXQAha1Ry1AZVknf0bL+ASF0oLUkKe4iSdaxqgc5shJ9fraCOZr3Y41uqPV6LTFCEkVSeln7poKxFYql5GddvQu27skmhFM0ipuAZtFRc2t4oI6kHOQ3PXVkHYP+Ui4lWMFVzsBXRcxbPyB0zJdaQGvRIQzRwvxjTcJlfWQDgKgrubjF6yW9zhTcVepjRAHzKO42yF4AAp5XW9n9V+sCOkkuQOZzdqtMLND3qZu4YU8N3TLVb7RUJ4bWDpJQ7H52K0kVc91lWGarZBcP5NZFYYEZlGhO9/n+ihT257rL3iWMu+xpDVfsjblxrsa6yO/+ZvnMPrLSOtwQIyG2KcgErS41NYKqtL+LrY7G2eYeoTaOlyIZli6grnVBvBqfU68aixtObGV2plY7UGBJNBTG4kQlh8pceO7smNOmuDAIvEUzkPTXWohzlfemyD1y5UEcCT+/uE3vWr84Qopprub0Yc8i4Rrq9viaHmMV5niWTy0M3enqv4qS9I/j+/ZVjvQBjA80+I+ycH9KBT5oBK7hblFOKbt1KE0E8VI8Gz8e/kPS4uuF2shUGys7M+SrfUrvNtxQq5gSyHZLM/Nj6M/qqSrfyWGHlXZzo1Uq1QwrBQ26AVpuxv9nl/bWflnBN1xhV2AnDiLjbfQJ1/H9mawdPbPA2dEyXwnjjKi51jzA4Snj/SHhuhTAvybRNUB5mHsVdER6QEUcwJKkq8LRZDP5UoARuRj6XYTFLtcL5T49GZTRqh5jPHu7d9jYXJr1GCfmfq1Iszkv/zzwuW1izNmmC6VRqfPcMDmIcrDdA9QCmFuomyrbWw2g/ZYXyE4aHpO69w+iDYXul1LYQAh5ztHzVFEYoqvAJBbiXDRLExUCS54tX8CAe9Gm5adLZbocgbMzvOO1uLaYUpw1SS5zneqLou9DSHJndeI23Fzg+6tagzbyOiAba187wWwbfiT7AkD3JsapOan9KNLI0QhBBkRuIqQ2YkUsDZXovZ6oC6N/LWpEI5Dk0/ZTP2RxNYC5W3fuoiBDS8mHZc3b6cq8g1RGlx+6EkVLzr7z952ET3gvE4cCMd0trMVY8zdqTOIG68l4WB4Nj+B2+zu+8pixBKPiyMLZpJBVuNplU3v24Z84dNluXkuggrKSXxXOe6hujjlXf4QfcIsfUJRcwnvddIOI5WLhN1hzMrOZc6W8n3Hk3enP0Sj3W/jTCGrDVLfODxq87rKYP0NcMrWnGbYQYjD0MbeHlwnCfct6jIhMQ4XLJzHMqKoXBsrJJPTOHkMRZoq1mW7AEem1tnrj5EFpMiiFM405nkUq8yEtwsKvJcxxKEPq6r0EYwyFxkYql5ObPViH7qMMwUQhS5sGFeWBJX5mTGQQnDRJgUigbDLthCCTwSTTQSsBhtGcRQDcS1r7F0iGaO43WWENaQ1mYwV1TsRRnEuRgboLpnH0R1/webMgRX8mGhpMV3DIne8oG2J7HvJVprslxv+9mQCY3nXvvjtL+6yYH8dxnYkJoY4ghL35lEV5osLEyy0dlAYjAjoyEx2Ml5ese+suM81sLZzSqbsY8QcKjVpeFnSFHc3UNxrfxty4gyxbvpIZaSKfY5q6zrFtqvcdD5PUSe4Q46ZFJgJmbB9dhsnMBrG+p+Og6rCQHD1GG5F46moBbPF+cKxzGc6zY4OtHhrbUWUVaIjE6GCccmu+PKv1wLemk4fo2+a6gSM1WJCxmgQQehMyzQoUGCg5WSQBYNxQYYJJbqdaTgrHKvm/MxthjCZ0fNscbCMIP6vRIOLbkzyhBcyYfJUwtt3lhukWlJ6OacmOvc/KAPAXONmJEx1/fMoqkj1JIBrWSAFYKsOrWjumx/K6I99FgbFLvrVDVhf+vqCrClXsiFbnW8ib+z1uKpfW2qvibJLMaC54AzKqvLNeTa4kjDZtZgMy2ec05F9E98gepb30LoDLc1iXAE2IzF4Vs8tW8CLUP6uaaqhoX3YuVV6gaXHS9t4NxmlWikGm0RbEQ+/dThYlvh+gKDO153gaQRJFsadKPr12aaiGrhJVH87fK+Yywk2dWD7JYHIYlWCGGZDGJqnr7qMeaKt6w0PfchZQiu5MPEdwwfX2zf62VcxbWaEtWNwgPKob//SVQywEqF8XaKkQoBTy12xsl9geWFUzV6sWK+mfLYQoQQ0In9HZt4oh16icNUxRB4O9ekDfRSiUFwaLLPmXZ1pMYguLTh8O+6z/KJRxc4Yt4j6F4aH3eu8TRaFYYwt5KBrlB3hjSDnKqT0ssuy7vYkYqBxZU5E36XjdhH2yKuZRDkRnJu3ePChsOzD+cgtxeUWNQ2FW4rBVYLMrYne8RVN71XGo61yKefuePzrg1DQmewo+dKimJ2kbZbZ7lWU3DJHucB9IAePJNa8oGjlMJ1iryGEEUOyHFuklAQEh3UdxgfmUXk6xcRoxEKrklorLyBOv06j2YvsdEx/OBMjRfPFPkMT+28s3eEIbhOTizOtwRZZxsJnzjURtmMYVQoVfdihxfPTeAmWwULWihyeWWMSxL6isCTfFZ+kxlvg5Y/pBXGNMOYpjdkvrKJqwz7qpvjo0Inp+5nVANNkim+/YZPpy9Gjo4ldPKx4Kex0BFTtOUsUlrkqEgjt84OUVkBeNsu86Wuz9ogYHuhSm4l6RXl7UJAzbe4sjA8gWMJ704woeReIOWt/7tPKD2gkjvCdR3c6+R8bgVvc4lg4zypyagrj8HMMYLeMk7So6mgqQZ8ZeoH/K8rn+PiZtEJeWSizzBzijyLsByobeKbDnkM0g2Qo6y6SCNqw02qFlIZ0nMmEWJn+TRAZiQ5DlI5oHOE1Ug0ronxzZBEVhCugxwlgwIb8UzwGoPaHFo6GOvsuCuteRmtIEYKy6FWH0danjs6pN1zWO87LK3C0X05BycTJitbQwMHqSS3EsSoTBxNakXhuUiBIy3WFrktNQovnmmHvHGpwVQ9Z6Kaj5fhCIN7jflGSkI9uAOvx1pE0kfqFKM8rF97IO/E7wfsA3jdSwNU8oEzHGTEmz2shfPRJI8cgnrnItIUDblSp4Qb57iymaUiL+dAio1TScvH5jaKEmiTQTYYx5WMGSCCGgKDM1gfq2I7OsWgiL0mzSCnGxWl0BYIZYqrLFaGaCGJJw4yY9q4aQ9Xx1gEsTMLFJp0eVgn7C4jdE7q14n8ScxIbcBYGOY+k5WE6TAe79G5kRxalCwaRjI8LquRIkcyX41Ga9/5uoWwTPgpvjIjlYir72jPbVRwbMaiPUuqJ0lEQOAU03B3M7wmo01kOkAAIoswJsNUJnft/CW3gbzz7fof/aN/xA9+8AOazSa/9mu/touLujtKA1TywaIz3P4arbCo5mp6Ea+cPsAP+VeIlQ42sUKCvxUCS4xLxdM8eWBnE6orMnQe7WygsRaTZzjkY+MDxdYdEuEHdR6aH3KxF2CsLMrblSK3EiUseXWKzKtB3CUL6mSmgp/2CeN1otoERud0awtQmUOanEq0hqhPElmIcoduGhLpEFJLbiT7akOshdPLiiBdIQ8aCOHRcrpYK+kmNeYqRW7LUZbMbOWHpCjEZW8k/eWJjE9OvU3DjYAVBtpDB3N4/u3H1r7xquKVUwpr4Pii4cee25J6kvmW0oMAZJ6wNxoBPnrcjQf0wz/8w3zlK1/hq1/96i6u6O4pDVDJB4rcuETV3dqyKk7OvmAT7VaQowmm1lrEsA+9TfSB4yAVWvn0Wgf58UPtHeMRTBpDFo0EIq7MdQis9LBCbikBWItCYwW8t1rF2MvHWBZmDBcaT+Iog+c5eGlnS29LKlK3QiUtckTDYYanihnbRnp06/t5p72PKFNUfbst7C4YjqrhVPsCzw4LgdM08mnXHkOOQmgVE2GshxKCimux1pDpQran6hlyLWjHPtYKfEczEaQ7Il9PTCzRMFuVglWVkucb5Mze1vtz+pLgm687xGlx8s5QMDth+Pjxy9f8Ko2F2zp/yS5yF1VwJ06cYGVlZRcXszvsGQO0V13Ee04SoS68C16IXjx+X8Xf3fdfxlk+iX7oKS53PVoLqXEYzj9KsHaaigP5ufcQG6tEc8fozTxahBqEoIHF83Iuh6DsaCy1MaARKLYJtUmFcFwQAmFtoaINSKNxky66Nr3j0h2d7rPQihBSoVHEGTiIncEuIcjdkFwXfTTbCwDaccgw80BAnBtC12xNORWF5EB18+xY9SFqzI+ND4AvMzASpDsuEmD0WGPhYj8gHw0YTNPCY5sIt4YM1kKDHVxhDu5ggzqzLMfGByDLBWeW5dgAaa+KSroIa7FCoL3dmbpacgfcR9/9W2XPGKC96iLeS8SgQ/AH/wuq1y4mcc4fJv7Cz3zoH8T20GWYOkxXEwL31gMw3unXkN1V7NQcpjWDlYr1rE5rphjoFs8cZXJhgc7Z91FA2pyDKxScjTYoZ2tjXYqnWE8bxQZvexzzTmEn9iHUlhKDyiOcqFsYI1GMRJBpxJOLPTYGLv3EoRmmbLMHRXlzGhfyz2KkPyEkaXOROFH0E5e6X4SmtBVciqbGXo+xxZC40DM4QjMTRug8R5qtUJa4lt7OCKe/RrBxHihkdbqto1cItQoSPfrZWpLlM7jDDUBiMQjAKI88nLjl9+YyB2cNgWuJs+LaucpycHZbeXhQJ3f8olJRCBCqUG14AHtS9jz3UXXbrbJnDNBedRHvJd7LX0P1ij4gYQ1q+TRy5Sxm7vZVju+U1y81WeqEaCsJnJynFjaYqGQ3PxAoWjLBfeOPsJU6JqgRPvtjqMAAW+5E95EvkLz2Cp4RV89G2vb/UeaymjTRo4/tJi4r/XUOygskU4cBUP02bm8dYXJAYF0P6wYY16fuaL6y8CYXz/SoJDWwU+ONNMshXh8yWY1IKxNUZ/fTi3OEEFQ8zddXZjBsELoZ/dQjt2qH+6ENTPs9JioZrrKkUYaWLo4uNu5Kd4nMq6LdEKxFJkNqf/Rb4Hm48/NjsVSVDqlKHyuPkxgHbCHaqkYzjtzeCnG0gWMNBjBuSFqdwni1W9qgvLUzeBsXsEIRHXiCI/uqfPrxnFdPKixwbGF7+G2EcpFRB5lFgMVKl7wx90COB9jLlFVw95iFhYUd/92L7Obahp7L9sk/whimGg3cO3iOO1nXMIHVk1sNjHHucLY3w+PHb+345KEnSV/+OiLPIB6ST8wjHBctPaxwmJlssNYx/O+vLNIZLFJJDT8+uUboFjN1avUak1PT4/NdaBv02jZPQkhiWaE6PMnUxz4DQPTCy9ix52FB5wTHHqMxdxiAXHeZPf86dkPwkv8TeIHCIFjqVBhGj/PT/DYV1yWcmqNBEfZLEkNYlbzR3ofA8Dn1LaJKSCS29NbCbIP+mfP84epB/uKfmMDm52nPPcbUpddQJkflKa0LrzBs7YdogP/KN1F5ChNTSLuVtxFYfGHICMbX3VrJoX0VWjWHXvc8ZmSsJIWw6+TBY0X48Sbk598hv/A6jJTGgzzC+/zP8PNf8fn5GxyXDrp0N89zuQ1WmIw6MfWFh6567Eflu3lPeAC9zvvKAC0tLbGwsMDS0tK9Xso12e21yQOPEZx/HxkXVWC6NcOqW4XbfI4brctYyI1ACbsjJAUwTBV5Ps12byWOE5aW1nc8ThvYTDyMFVTcbKvo4OCTONZBXjqJbswQHzxBahzyOAdyBsOY77w3w+pIYSjNJf/+B5P87Kc38ByIk3THujMtceUk2Sg3Im3GRL5MJjPao8fVk4Tt9+VGeaxpb3zNhA1o+FVUMuD0csCmmOCyK1MTfbQVpFoQAmsv/CHBmVcxWvM8M/xB609z3D3NorhAJU15130SLRS+jXhKvYhTz3m8eoHf+S/H+fLRi1TzhDxsshlMIbKEerxKp3qAzBeIzxyj9d63qbdPYvNsbEAscEFPkm272TVW8N5Sn4XakCDLdrw+rQ0Xl5dvaXOqvf8a3rYxF6a/weq7r5G39t3wOJEOca8Y7xANBnQuLDEYjdaoepr9ix+d7+atPuduYu/CAP2Df/APeOONN+j1evzyL/8yP/dzP8eXvvSlXVzdnXFfGaCPGmbuEPFn/gTuey9hXY/0yS9cNZ76bkhzwUbsoa1ACkvdy6lu0xELXU3Dz2lHxcweRxrm6/HONVpYGQZjoxDnEmxanMfk6MXjZAceBQFpAvm2zv4wWuWzldM8s1/wtZWHWUkbZEaS5gr/GrkmTxkOt7pcakuEzpjKLrFfv0/S3ApJai8cjyUAyL1wx8gI63h0j36KysW3qA5SNreNvQ5FTBRMkk0fxQ77BKdeRCVDFLCPAZ/s/w7Z1AIKy7RZYTr53eIaKAehiq+SJzV/bN87uMmWp+Z0BQOqJK2HiZ3G+Fu3+fDnqHzzJKyvIeb3Y6VC+1VMtQnDK+ZAjXqh0toMlf4KNosxQpJVJm75ztheEaKzQuKuncWNNkmb+9CV1rWPcwKMdMY5LSskqVtjfegVDbRArBXzuizQ/kC5ixDcX/trf2331rGLlAZoj2NmD5DMHvhAzt1JipHRUNxl91OHiqu3VXPBswfWeWe1TpI7zNZiFpo7RUIzLcm2JcyNlVzoVhE6o0Kfw85FcFyy+hxCysuFXoRxm9ZwCeVp8GDCe4l/eeZThIGkGlx7I7PW0vATGvMWr7eME3UYVh8nr2/NvhnuO4FdeReZJfRrc0TBBCbKSIxHZCvMhDG+X2Fw+Bme1hZ7PqIXOzjKcGTWMqicwFcWO+gg053Gtqo7vMJnOMBZKhTXQQsHhNpSeLPwZv4oa3YKieFp51WUzejogLrcGSbLvSppYxonbJIsPFGM0P79f0+r83U6z/4FouYCIPBVzkw4ku3xa9QWD7F6/hTG8bGOzyBVDFKXmpdR8a6vmK6VR6YClE4xQtGtLdKuP8qxta/jdZYZLpwga1yjjFtK8vosariJwKK9Kn0aY+MDRcPtykZ89bElu8bdeEB7lT1jgPaqi/ggY68aJg3+2imUTkhai5igjpLw2Nz1h+AJYRHY8bm6iccg9YAK69QZ6oAT8n1Ub5mwNoc2EmOhkm6itjWMTngRz+5b5vDR6rgB893lCpe6Po60PLnYxiEppGGEwNZmyZrXCB1JRTT/KFprkrS4Y5fC4suEJHO5OKhysNFDjhpAnzu0ce3X1ZjE+BVU3B9fm8yr0xUTvGA/xcO8hcSSNmaZTc4gTVEi/Wb+MO+aY+NCiW9nn+QT6gV+b/UxfqR5EVXdKrJwTIp5/FPEo6IS8Vv/At55GQkcXvq/03vyR9Gf/jEa20ZDAEjPRweFsvelXsj5Xo3cKByp2d/oM1+7Wkncu/gu/oW3OH30xwnzDlPxeWoMCfqvk6oQX0f47bPXNkAAykVvM/QkVz9kp89Wsus8gEUfe8YA7VUX8UHGk2akj1ZsG17ao7J+sqhc668xWHgcXblxaa8rLaFjGObFedLcYWsbkvRtFYNCWoMzWKVWm0Ejka4DW20tWODZybNE3iOA4J3lCq8v1cfzd7rRNJ8/cgElC08ozzO8G0xU01fMH5ACPJUxzEJSrQicG89WEn6Irk+ODZCQkgm7Ss2J2dCzvKCmOdAaUJER73szHOy/imMylu3s2PgA9KkQ1Wb4EzMXsV4FQY6JhiidMX3xRdykz2ndQjemmWuvbF05o2m8923s5z8P4vpf0+VBZdwvlBvFcr9ylQGScZ/K+dcQSiKMZjJZwjOFt+Ka9I5GM1TdnDiXYw/aEYa5iYCV5Ts4WcktUVbBlTxQNIMMkVgyLXFMwoHV74w3QJUnBO2zDG5igISAqTChpot5OZuRP84HQWGKxLh6KkfmKcILSVv78aJNpM6wCHruBCv+MURf0axoLnWCsfEB6KcOvcQdS/pgdDHATV27+ktJsaOC0Ix6U5uyg2M1t/LRF1IivK2cWy1t8+nGG/Rqi3jK4CpLp5uTiAanGp8AINvwYFskypWawANfdDAKgs2L1E6+sON55jtvcab6WeLqNOHaxW0Hu1ipwMKrS3XW+x5SWr4YbpmMVO8My+Qa8tzgbOudqr7/R0irQUrmV3+ArOxU/BYYtOMRj0rZbwUlYSpMGWTFdax5+XgOU8kHRBmCK3mQEAKaQbFNq2EHZfObHHH981wei7BQG3Cmo8iMwiFjwu8zcJuEeQ9p86KJEQq5HbeCzDe4UH2Mnj83Pt9GpHfMyoHiDttTW7/z+us02icZ7juBcQNU0sO4AXllEoQYjYywxJnB2EK8dEJuoISFRGBsgPRCbkTemMbdvISwBgusHPgkPX8BdDGSG6Bih/RSF+lIXGF4qnael+xxhqlECcOByjqhU/RNmSzBKheLGBtlKIoYXGUYfPpPEvSWYdDDhhU2fvwvk0U+aS4ZpIqNqDCGv/MyfP6owHMscQquezn4Zah5CVFmqV/+ZluLSBP+09pTnIpncUXGLzz0CrijogwKtYPhvhM7hgTeCkpCw7+zz0zJ7XNlyPxBoDRAJQDosEleaeEMNxCAdgKi6aM3Pc7aYvZOZgSeskxXE2p+m07koGxC4OZkhBgrmdp8B9lfI69MEE8dIa1O4WV9UrUl7yIw1NjkiakN+tEi/dTFFZpj4RJNuphM4sR9WitvIa3BXz+DrtSR1mDjDiqLSFr7gWJkxGbqkhvBFKuF8SlWDekoTHUDIxTvfxyRpbjdFdqt47SnHgUkGOgmgixXnFkOEZ02ojHBQxPrhC2fT02uM+z28W2MJ/XlZ8RKh2xykaw5i9NZRWBIghbr809irKA+1cD+mf8T9Hv0ghliE4AVKAULEwmbQ5coc+gOoRc7TNUysiRnpppgrEPgpMyERcjQ7a2g0iFZ0OC31x/n9zeOk4++7v/T+z6/9PH3UTZHexWGc488kPmFB42yCKHkwUUI+geexttcQuYJaXPfVZNLL6vJbA9F91JZlF4jSHKLNroowfZT8q0RnGjHJ/InaAwvIfqrZGELXZ3Ea9aRq1v5mKbYIBAJePDDh0/TGygmkyWazhDbF4gsLnTJwhp22MW63lhFQAAyGRSxttGG6kiLo4cocUXOx46MkOtfFdowFtY6Kd8+2cSYL3Li6CaBjAlsTEwhI6Qt9N49yUO/9Y9w4g552OLil/+PTHxmPyrpU5cxZuQ5WQRGucigUlznRz6He+Y1NpwposY8RvhgLfXoPMLkWCl35OYAPMdSDTRR5uA5ZiyJ9Ni+AVmWM1ndSqg5OsHvLCGwqLjDyfTE2PgAnBlO8Z18Eq8e0gwSnBhafjqa8FqyZykNUMkDjZCkE/uv+rW10EkUuQEQBI6m5hVD0tKR8YFio41zRdW7RljG2iIEB0VBQjpEVyZwZw/hbJ7lnfMuuZF8bFoSjBwiR1qatZzAGgxFLgQ3ACGw1mKUd7X8jDU43WXy5jwISUv1kWkHg8QiC+tpC7NQWAe7o3QrzaETCb79kqWfVJgMBgTZBlU3owLENmRTToGwTHz3Nwl6xThvJ4uY/cY/x33il3CiDgKLkYo4nEL7NaTjjnuRKqdfxF89Q82+Q7LeQE8uoCdmkHkRqhNW4+s+sfLH1zbTEKeFMvZ8MyY1giqwr5myOZAMUgdPGaSEWtTeyrvBjtAlFKPeo0zR7lVpD30OtAasG5/ZanzDERBXfiZuJyfeHji8t1LBcyxPLPRxSmN325RFCCUfSQaZJNVbd+RRpvBVjnPZ9uzYSyxpbsj0tn3dWtysTzUqFBSMdMnCJgBJZvnD92bpjPIbvcECnzt8nqlKMjpbUcFWRM+2GkoRAuv6JPU53GG7CMEBViqEyZBxFxO2UNkQgUFYUxghK4uicTEaXXzFXaVdv0Ryrk8//xwAT80sU3VHhgHwiXFIsUjU+s7OekcnqKQ/3vyl0fhpl6S2bYCbtbidFYTVLNcfZq16BIlg0fR3nKup10m9Bqlxiuuo4LGFAUoUox9yIwrBU6VoVQ1JBlEmMQg2w0Uy6dNI10jCFl95ukf7jypsDhS+Y/j4wia5exiAVDt0Yo+JSkI+CqPeCG0EpzYbpLlCCsu+ep9mcGNtwLWewzfemyTKCq90pevx5cfWr1LeKLkxZQiu5IHA2iLMdKsbwJXhIEsx3tpVFl8ZopEXJLC4UhNlUCiVWbAGmeX4g/XxsZlfx/iFjtrb5+3Y+EChlGBsUVGnrWB9WKE16he6lE7QN1XmnXXqToSViixoYPIcLxtghcSqYsOWUY/K69+EPOPSgU8T1fcBlqZt40kDysGOQoyCoqF2M3Kory4TZDkCjRVX50UEFk9kGOkiZ6ehuzx6XeDvm+EKawwWZGeV4P3vF0rWhz4GAi7WH+X09PNoFQBQ0WeYItm6ytKhFWgQhfeyOnAR242DNWRZhhN1CfMhOQHWmwZRGOHIa+HLFCsd6qHhL33+Ipd6ASv5DJlYZGDc7UtECrstR3Z9znVq9NOt9+tCr0bN27jhZ+nNS7Wx8QFYH7is9Dz2NdPrH1RyNaUHVHK/s9xx+M77DdJcEHqGH360Q+06ygOX8aTZ4QEpkxGmm+C2qPtFOXKUSeLcI9EOjswJZFZ4K0IROz79+uNs6h77h2+NZWsAXGW4XKwN8LlDS0xXizpmgcV1wGqH73WOcipeJMehIiI+VXuNmVpCpiFza0irkaNZnVZIgvdexO21WV78JN3agWKMAHBRL3BpVbIYtlmsd4jcGrl12MyqtKMqZuKLTPmnONQ+x0XmeW9jkulwiO/okYflYkejkc3P/2X4j/8C2Wnjzszg/fSfxQyWEaMR1kZIjBVUX/ztcT+R7KyRLj7EenhsbHwAzpkD1PwMz8RYKcgrU1sbTjyknhu6agKDQGIIRISXdKgNVlBW4wFe2me9fqS4BsrBGHerrF7CZN1wftDCWoscVQf6KmciTKh5+S3dkGRm54O0kWRGoeT1+6quNdLuAdxLP3BKD6jkvsZa+M77DTaHxd3vMIVvvNPgK09uXvW4TBcio66C0LXYbEiWA1gmkotUdI/I9TBeBU9Z1rf1/+S68EJ8mRV31xikMMSqSiIryG29Ow8tSube6LM8qKKEpeZt3RULAYHKWHcPcW51fpxIH9qQ1zYX+dFT/xye+gqbzhwdUWGaNaQEqQ1Or1A4iCrTOyq8lIKBqfDaRgVPnmaqNgSnQs2JkRVYHdSYqSU8UjmP4SSD1IXwAIYEhMSJerTW36TXOohVLuJP/xIVj3FoMHb209tMQOc0axb3/Dtj4wPgpEPiOMNMN3c4S1JAGk4hRuXsmYZhrKi9911qp16gkqU0GtP0P/lTaMdBCAjjLTUJCfh5D2kyjHRwpB1Nm91Ke0U6GF1XQc3PaHopi80h3k3Gf2/HU5rBtoibIw2eunFT78f292gPXAapA1hm6imz9dL7uV3MNTzy+53SAO0FrIXR/BrUB/eWaFMIkG6nKCLYSZRCqi//HQIPppKLuNGWbI0FepEgTiRBtkkmq9tudQWZdvBkPs7hOORFWM0Ld0joOEry5Uc3OLuyQaohcEbXYXwqgQgqmCvUANLKJOvTP8SynmNom4CgwwRzXpuGn2K8EJVGCLNzc8y1IMkVmRWcH0wwU7mAEKCEwZc5j/jvM5m1kVIhgYajSYnRYQuZDKiefRmVxbRW38FIxXD/E6SzRbm6sfD66hS9tDCwNZNxMF8huDy9dXTdLsZNZpuauJuTGoXA0vBS/G3GpxM7kMZUTv5gbMC89hL1l/4L0Wf/FGl69QZeFBxYlB4w/c7XkMmA4fzDRJUp1sUsZ5Itdea6F3OgsYnn3p647YFmH20lySgHtFDv39R4NUPNlx5d5/R6SOAajk5Ht2zwSrbxALqNpQG611iDGGyMDZB1fRgl6HcbR0HgWobb9q6qv3ODthaybRE5C6QZaDfEiTbGNQdn/BNs6ik2+j7CtpiqJjvsxmX1ZjH6pRQglEXXFq/6HknP5fB+sP02hmL+zXh9gUC5hrqfsD4MKVS5NVO1mHjiABVtGY50yTQOnbxJvTokOfQx5KXTfPPiIfa7iqpfhPqWuwETlYT5ZoSnLBtyGlenDLWPpww+yY6x3AKKaaCA01tFZVsyB9Jo3N7q2AAt9Soj41O8wH7qca71ceSFU+zLzyAwrDqLnJx4nmdFj4O1NqlxcRyxQxpomBUzipwsQuqdhkbmGfv27ePCyXdI3QpOHlOUVQBCMDE4h3fhXZyR0apdfJuKdKhM7mdevs2rzifQXsC+ygbm5imfq5ACjk50b/wga5F5AliMU1Qt1gLDE4uD23/CkjGWMgRXstvEvdH0TgALWYx1w10du7CdH350k2++2yTNBVVf8/lHdm4mSS5ZHlSxVlBzY6qjkFhWm0FlQ2Q6IMejp5qs9ApdNQA3KZSqhSjyOjNhyiDdmZJ3hL3hTZwwGVI62MuS2dYghQ8Cnt53iZNrTQZ5wGQtZr5eNJIqYVDCoK0qKt2SDIwhOfAYy22PtcEka6dHgqS+oBoYnljs4zmFekCGT2w8UuPiOzGx06CSdVGjNWgryJYukf3u/0iaJaS+ovXMx7hQf5yeM0XLz7icySmkg3a+wIpn+dbcz+H2VhHWEIWTfHHfEllafPWCeI1KOiCd22r6FaIwKGnQJAubY6NnkBBWUI5DaBMckxSK2CYf5QcEKo+RZmdVmrCa0AwJRcoz9ru0m48gBbjJgMr6e1jlFk3Hu+F9W0u49t7YazN+leHMQw/k3fuHTVmGXbLriCsGfRVx+7ubq7LakSx3FAsTmsn6znPVQ8NXnry2AnRRYtsk0cXHItEuiB7TlRSEIJ48DNaQG0m66e7QIduIAlQW82j1FG25yDB3cFVGqouNvqiQM1grtkqpr8DRGRmyGNsASJOPv3SO4/HQVJu1juDlb23wkq3hzk7x+Y+laCOo5m2O9X+AMimi7xDPHcNRBonGoDBWEMWw0IyuarhMtcvqoIrRlgWvS+qGuHlCYhxODWZZ+E//D+RGMS4+BX6g/hIbzaewwuGi0CwO+sxWY+arQ9aHwfj6eSpnoTHkYMvw5rkKZjjkkdmT4NTGG3IWNMi7q3hrp3HSIXnYotbcVzT3KodLn/hZZl77L4g8QXgeYeCR9TbIwxYiT5EiwVA040o9kvwJaoi0aNgFCsMyyoO5tlDW9uIuk6tvoy57d8NNeoeevWtFBLe/NuqDKhBxF7d3iaxx46F3JTenLEIo2XWsE0CejXtHrFB35f288J7PH73rE6eSim/4/ImIWx3M2E8dEr21ARkkcR7gu9vCQEKiJIROxkQYkWqnSNQjsNaQqgrKRAyGPrGtMF/tkZrRZmvAppZwW9J+x7UIG/j9NXLlIazBwZA4hXCm70m6nZzwf/sNvpIukwqf1y5+gv+S/zyHD/tMZGuEpl9sfHmKXD2Jf+BxJk5ltIcSi6DqZRyZiUdabKPntJDkDtoq2lGFWWERjkvuuAyygHeSQ6w89Zf5+B/83wqJIq9Cb+o4gWeAlCR3WB+GzFZjEJZ9tR7rUQUpLIdbPUK38KQ+MXkaN9hg1Tu487ULAUIQXngTpSRGXEBFmwymnmCQSXTY4NJzPwtGM3/x+7ib7xH/4HfxW3MM3UlOmofItMLRCU+o13GERrdmMI4H2iDTATKsjA2edXwC36e2enFsfACcuIsz3CCvbY1AvxNknuzwAQWg8pQbdwqV3AqlFlzJ7uOFRQQ/K3Io1q/fseSGtfDqaY84LY4fJpIfvO/zx56/tePVFbN9ABx1tTeWGUHg5MzVNcZAL/XYHLjUgwSpBL2sSWwLw3Fp2GQ62CgqsSgkZowFdY3vkg4aWKlwog5W+STV6R2hm+Dr/45mWjR/OnbIE/ELvLn6JbIDTd4Uj9ORTT5pvg2AMJqenOShg5bOIEUbaFVzJkLN8tDHkQZjBXHusBEXenA5Lu28SV0NyXDxZU7VTelOHCcJpwiidbLaFEHdR468KEdmGAOZFnQTBylhpjosZHCkwVhYj3w0B3H8GWY7bxO3FtBu8ZwqjfA7l7g08xSL7VeR1uD11qjNa+JcYUzRRFsZrtDafH+Uk0qR1vBGbz8de1lAtM6rPM5T7uugFMnBJ+nQ4mLb5Xj8Ep5NQDnouWOj8vhrFEfvwh12Vp3AHa5veWPSIa1M3fV5r8Ja/M1zqDTCSkncOoB1g5sfdx9TekAlHwxeZdwUebdcmVg29tbvmqpeTjNI6cQelsLI7KsPiPJi4qevimmpg7RIkkMhJtD0U5JUUHFSeqZKbLZJyFiXflal4Q0w1rIaNTBDRdXNWagPr16/V+VsMsn7qw30MtT9nKcWN4pKOrMzIe/beDyZ1ArFKrNEhIREaMcntwIhoFW7bEQFVgj212NWBi79xGUjqYzXKtCEMuasPkAyMqC1iiDOPOTUNESK+DN/ErnNekoJoZOT6KKB9jIWQZQpeqkiyouvWao8gqhLNdmk2zoIQH3jLO3Jh4kb8wyipbFahBAwXckYdGMmzn+f2uBiEZ5VLro+VRhPu9NTHsgm8fSRok9JSJbbVYbC45WwUHVwpOZRtYGDJZo5hhP3UFmEBfKgTn6T0Ru3gvGqRJOH8XuXwEJSn8UEtbs+75X4m+dwB+vjW6WwfYrh7KMPdK6pzAGV7GmEgPkJTS8qGiCVtOyfunW5fCHgULNHVHXQRhC6GRf7NaK86OsJnZzFev8aB1oGqYv2FNIqrkzEa1uEvJLcpZNWyLVgbWCJc8Xi4s5TpbnkreUmce4wW+0yW+2z0Te0Khb10AnyC6dx8iIp33bnmXj0+LZ1SFK/jnFqrDeP45iMBAWj6iFXGnylkQKmwoi6GmCsYJAVxqahemjpMrRbRin0LfMTmvTP/w/0c0Vq5MjKb73GqpfhiJG+3GVdPAsbsY+/rUfGWnjBPMNG3kSsWJ7gNequZDBRGKPMrWKSTdLGbFF+DtSaAUY9RrYkEDohqs+zXj+GQTKhEi4Nt4y9UharvB3Ptx1rxeiGxGK8kLzTRaTdoj7friGnjmAaM9wMay3WGIQQ43zddnTYZPgBVXJeRmbxzlBfniF0inX86x5zv1OG4Er2PH/82SETNZ/1rmJ+QvOJ4wlw63e2QkDFLYzW2jAY3b0XGaph7tBJPAI3I0vE6AthcaUlywVvrM/x+PRFFBmaohdGoqk5EVhDPwvY7Et6wyIM1+5WeOLIzl1ykCmSXDEV9jk20cZzDFhLmkLw5KdRBsx7r5EjSZ/5U/jSIx/pxIUBvOF9mtxIZGSY8rtUVVFM4CqYCYv+k1xDnLtoqzlQa6OtRBqN0jHrdga2eY1CCKaqGcOsuA4CkFgu+1QhMQeWv4W0OUntBH2/2MBTrdiIQ5p+hOcU6+sOFXE4yzAOSLXiBZ7jueo7xXWyGul59BefIG3MIeyW7p2uTdJ/+DNYY1kfKvLRta0qzazosxGFuMpyfKIzXrfRmrrqEWWtQsgVS+jmuKM5S6q7hrN5qVAOBxQQnHyR4dM/esPPh85zdFqUWCMEynFRt9lLtBtcJZMk1Vih4kGlDMGV7HmkgM88mtz8gbeAvkIDDgS5kbQci6AYySwFVBzNTD3l7EaF7186SCuImWlmKGGpu0OksJgcurFHPxLjsGCaC77+BnximxdUcTW+o5mt9fGUJsj6KF0UaVzYaPF9+2PYQ1/i4/tW2d+MCNMznItmGJgKFU/TsJs0VB+N4uxwnigVzFSHzJklKlFRcj50Zxm4hW5bTk5VxXi+Yi2ewdUZzegCYdZn099H7lWR0mJGEjRCgCdzqm6GR8zc2W+Oh9Md3HyRC+4x3g2eGr1GgSdSHKGQaGZrKUpCnEW8t9pkkFVY9Q4wLRNCRzL0jxJnQDy6EfAsSopCCTsXWCvG4747kUsv8QiclEdbF/CUxXcLb8hai04jprwhipxeXsVVloXmtlGtxpDWpugf/ThWOqi4T2X1zM0/E1nKuLjeWnSe7VD6/rBIJg4g108idAZCkjTmHviZRqUHVPKRohEk9DMXbYsvdph3mdl4B5VUCFrzBE6xEa0NPeqh5rg7IEoktSAjUIYcRUpIasAhpeX1OWV3DoDTV6i4+I5htp4AElcnuLqoqmpHHr/99j76mQf4rAxC/vjD51io96l7EW/0jzBJm1lnDTUS8PRI+L32Y1SzDWrVNaxUdIN5hBCEDBjaCv08INYBrjZYa5ndeIvJ/lkUmmTwJp35x+k7C/TTrR4fJS2NIKfyB/8rzsIsjHQOsqBJw02YEm1W7TS+TGn5Ma6CYbp1hx64hv0TfU5d9Jhr5FS9IqzVi7f6pqyFKCuUDQZp4W3a0QSJtX7A2jDAWEk39jh9yeGLD11Ea43jOFhjxvG3ljeg5Q0YUKUd+2CLa1yrzxA//GnMaPaFrjTRjZlb2BD2xhgF63gMZx8ZzU9SD+SsnCvZC1I8b731Fi+88AJ/7s/9uav+9i/+xb/gueee4+GHH77l893Ru9bpdPjud7/L+fPn7+TwkvuE0DHsqw2ouilT2QUeP/2/MXHy29Te+AMq73xr/Dg9Sr77jqFVzYsmzyvuiK0QHJjMafhbBblSGBanir1yZRBwcqPB+xsNksSQdGKIh+N7vjfWpkbGpyDOFC+sHOBcvp++qXGg0aah+mPjAxCIhKqTMOtsoLBsVPaTulVyJ0RJiyIntw6xdumlPkYbmtHFcROqb2ImNt+n6acEjkYJgyMMDT/Djbu4eojQORhNUpsmq7ZQvsth9ywP+adYrLVxpMV15FX5GEcnHFv7RjG8j5EitcmoZ20a2Rr1rA15xjDd6oAXAhSabuJtFTwIgXQ9vvbqlmEvvJGt659Yj8R6GCswCKJckhg5Nj6XMe7N8yfyCi9DCPmhez/bnhyr3I+E8YEiBHer/z4ofvM3f5MTJ05c82+PP/44//bf/tvbOt9Nb3ja7Tb/9J/+U86fP8/DDz/MT/3UT/Erv/IrSCkZDAb8lb/yV/jsZz97W09acv9QcTUVd0Dt9LdxkpGis9F47SXiqIcJ6yhhyLfdy0hhCRzNIHXHeaLABaUEnz66yetLdRItmKmlPHe8wSvvB6wMKhgk1bzN8/G3CU2ffM0lDxvo5jR193LoZ9zBg+cJhlSJTMCE7eA7GrZ5VLkRyMEmG6rGvmBjp56cEDhip+6c0Rp1hYqA1pZOrKg4KWFoLx9K9eSLOAuLCCUxRmOcrcmqSlhqDLiop0HmhDLDkYbcGhASEfWZ/d5vERw5vLUcoKJ7KDRtpshxkFoX5d7b9ncl9dXVBcBGX6BUYRyElEjHweQ5RZjRhSsEhjKj8K8c5nQLhkR5PmQCazRCyOLnkg+FvRCCO336NE8//fQ1//axj32Mf/yP//Ftne+mBujXf/3XaTab/MW/+Bf51re+xa/+6q/yy7/8y3zyk5/ke9/7Hv/6X//r0gA9IIg8JVx5D6whnjqECepbf7sy9GL0WEJoIkhpxwJtBFJYWkGKpyyeNCRa4SpD1dWsDgO6icdE0+LJnMX6ACGa9BKvkJkBjg1fpjIazuaSYeMeveo8x2YHvLapafcVj+yLODiTUg1hmAfk1iXSIZFXJ9Aax2aYNIPXX+Hj3/0Wg4kjDP/UTyGswbLtDv6Kl6StA46HzaKi6VQoutUFclPkvgSG0CsOUmiMdPhPy0+zmtT5idYyVcfuOLVFshl7CGtpVnP665uY9VW8c2/jz00jH3922/UFgWGNWSJGVXjW4ugMz8kAiUDj6oj91XVO9abR1iHPDevrKcf37WzuVV6AdA1YCLQkTbf6uwQWz7E4wiXPMrAWISXuLRgTIQROaXTuCXuhDDuKIvI8x/OuLjzRWhNF0W2d76YG6J133uHXf/3XcRyHEydO8Au/8As899xzADz33HP8w3/4D2/rCT8srIWNoUOuBVO1rJy+eD2shbiPyBNkOkTGXbyoizto0zv48bERSmaOoPptZF704uhqC10pSm2VhJnK1YUPoWsI3SIklmhJJ/HHoaNYS1aHFQ6wJVwKbMnHjNcH68zRtQ0+OX8R7QY0m3L8fjpiyEZSR1tJZFxybwL37Fs4v/O/YNfX8AHv0iuI1/YhP/8TFNMLDCJLqeqMHhVyHBw0Mu6StOZw+xsYa1mvHaVfv1whIUi1IBxZLeOF/NuLz7Ek5hhawysrmmcW1vAdS46iJ4rKQyngpbM1fvjRTerTDZhuwCPHrn4fhGCYu2TOlpgposj9eDbFCIWyKa4yzFd7VN2ElUGVl99XzIYZz5+42isSQoKAQIK2upD3oQiVFvk7B3Ub+m82z9AvfhvSDPXxTyEqu9/fU3J97G309H1QLC4u8vLLL49twHZefvllFq/sq7gJN/30XU5sAvi+TxAE9y7me4tYC998r8XFjo+xglYl44uPtEcClCU7SAaQFXctxg0YtvbjpO+isphg7TTD/R8DIJ0/hlUu3toZjOsTHXnm1mPv8YA8kZhx136BtoKNgSE3AkExUnvTm6UeraNGhc592eBMNM1BdYFDb/4buo98hkhuJTmVtMUAPBGPhttJ9PIl1Pra+DECC5vrhJ6CJKJ27mWWowp2dp4j3ilSPJKNLm9+t83+T4RUJmbIVcjAnd+xXiksxF1Mrvn/DX+IQXWClpTUaoaX1/dzsV/hCw9tMHAnMbLoyo8SSXd4dfI4ySWdxEMArSDBVZbXNhY5OL1TVTwzDmt5HVdqfAzuKGdU91IqbsbRTwWEZojVPvYKCSdjLckoohi6mqp35xqDNs9I/6f/J/bs+wDoP/oa3l/67xH1D7bfp2SLu1XDfumll/hn/+yfYYzhy1/+Mn/yT/7J2z7HT/zET/Drv/7rGGN47rnnkFJijOF73/sev/Ebv8Ff+At/4bbOd0sG6LXXXhv/bIy56ue9xsWOx1Jn6257Y+jx8vk6zx2+iYz8RxGd74gsW8cj90K8KCva/LeRzRwkmzm4daixRdkwxeA6zxmdyVqCtZO4UReLIfEbhMEELhkZxSYpMEih+f5JTTxqBHVkTjYxRzeIcYebtPMmb3ifwLUZhze+hx9vMEwGW1PWAGMg1opwa8Yd9vjjmO/9HrI/6osJQsSJZ4r/7SzhJV3eVs9z4ZTPs/MrZK+9Qfvv/iO8tUu8Ndkg+ZlfJPoTf57DjTZ+WMjWKGmpxxepnX2FfqzoeT8zbsJ0HEmt7rC+EdBwh7yzsYDnK4yFdy/61K8YeZHmkuVBZVy8kWjFvtoQ6TjItA2egx1V1sXGJdMBq21B0+Y8tpCMZ+mk2mFjJefp5d/GKod48VGShUeK62ItgwTQGROdUyid4uiU4b7HsP7tq27oV14YGx8Au3qR/Hf+He5/c3sbTsmdczc5IGMMv/Ebv8Hf/tt/m6mpKf7W3/pbfOITn2D//v23dZ7Pfe5zbG5u8tWvfpUsy2g0GnS7XTzP42d/9mf53Oc+d1vnu6kBajabOxJLtVptx8+NRuNah902u2GdLxNncocsCkB2jcFr9zvWQjvyyY1kMkxGHsBtohRWb910C52hsoTcrxLNHr/uYdYWc4UuS/9oA2DxHIHXWcLvLo/zRjLPME7AgrrAqpllM/G41JbMTYW4bk7FgdxKUu0yND79xn6S6iHeahcKyg45wvexStF65xuktWmy2iRWOLjpkH2985z3juBN5LjKYiZmMV/8abzv/meMEzB84gv09n+aiSzBUx5mOCAJXWR9kt8+XeWxf/x3CFcKjbl8bZPg3//PPPkzj1I3OenAwfg1dH2Wxhsv4MQ9mkhcL2e7MJAjDJ86tE4Qb/LJ6Pf4ndVPM7QhFT/j8w8XNz7OYB1/c4mq1TSFIpY1znmPkBHQTx2ePtDhzXMNGlITE4zkjgRSgsoj3l0LmJ6U1NwEYyUXoimqdqWYGaRTggtvkc4ewToexVQKy/z6m/hZkVOzQO3i6/QOXx0+uSnZ1QPwrL51lY2Su+duDNB7773H/Pw8c3NzAHzmM5/he9/73m0bIICf/Mmf5Etf+hLvvPMO/X6fWq3Gww8/TKVy+zc2NzVAX/3qV2/7pLfLblnnyyy0Ump+Tj8ZhQ4dzZGZq3XH7meshXfbTXqpBwhWhyHHJzYJ3Ns0Qn4NjB5vJlII4unDpM0FrONe97Bc79SdsxSTPD0HnLi3o2hBWo3KIwLXZ9Zc4PffOMD8fIB/OWIkwLGGlmgzSReMQ+AoWkFCbgQVV3O++UnEc4/RWHqV6PvfZ3PyGI9PtqmIGGMhGK7xYvo5pmoxmXZ4+OnnEc8+z5mNBpuxh+1L1oYhR6gRdjfxvT5OMMNDi4ZJp8eO1GmeQZbxpncCjWIiXmfK7SBHEkBKWPaZ85wSD6GFi2MSnnDf4KF5S3BpmSopP1f7zwCkYYt+8ElEGhG0TxdbiCwaU2umw8H0Td4Pn0YIcCQ8fjBmdeAzTLZKqaUwfOJYQvCI5o3VSVZGs4SwmkayMl620DkiS7COh+qs4AR1nHzrlQkYi4RexlhLmhdbm+dcf1SGevI59Hf+ALt8ofhFawr1+R/DZjHoHKSDvUZ1XsnucTcGqN1uMzW1JQo7NTXFu+++e8fnq1Qq162Gux32RCPqblpnKBr9vvBQm1fO1zFWcHRmyL7mgzWDvpe6Y+MDkGiHpX7t5tMqr0QIqLTGpb1aCPSNjxgdd+1TAWivit0mFGmEIndDrJC8udxgtR9w6ArbJoVlQnapySFoMJ7g8dkNciNYHQTEtgrVKoOjs/wgl3xOfIuKiEfHwjTrDDZiTq1OUK9aTuyLSLWkl7jj2HlmFMtpiwNG8/z6b/LtqT9Noir4jx4nev98YVUBf/8c71SfI6KCL1O0cDDZkLp0gaJq7HPZ7zJjl1kXM+w3p/Edw/n+Ezx2RUhajioFnaSH0lkxJmEbrk3xZUbdy8h14VX6MiFULplxRlWFCaGrOd+tjmcwCQyz+jwPtb85PpfxKxi/glo9S+vlr9F+4keKnhC7TY9uW97OWMswseMbiUxbqv61R2WIsIL3l/578v/6HyBLkZ/7UWSrWeQQAUjorFy8+kNRsmvcjQG61s3BXsjl7wkDtNvWGaARaj730OZdrmzvcq1xynd1A3rFh9F970W8M68Xcisz+4mf/OEdj3Fk8S8f7bdSQDAyKsnEflQ2RMU9EIK0PotpLoAQDHLBzzx1gcytkukWaqQs7ZISyq1KOhltYtx5NiN3nCsBkEoyOwl2Y+d6jRUsr2ZcShLWXMErkw0eme1f9aW1ssitVHSfL6/8v7FS0v+//LdcagYM3j6NO92i9df+Mm8TsM9fpeX2UKKobHvn+E/jD9tMX3iBC3aBA+Y0h3ifSNb5RuWnyCOPY/JFQtMrngvI/aLZ00inCKnZnX09Vko8JyfVgiwvJqEKARN+HyzUA5BSEOeKtUE4VqWwKJLqHMm+h3D6baxyGB77BEiFe+k0btRh+sX/SHb4BNZ1WK0dw0iHIFTjL32S2R2fI2Mh1RbfufbGJKp13D/xZ7fWPtg52DAe9sDfKt3fnqsruXuuTCvcDlNTU6yvr49/Xl9fZ2Li7tXP75Y9YYBu1TovjCarLdzqhLV7wIe1tjljWUs0nVFkMXDhxOEKU7WiNDbXmjzXeK5z03UZY1hrd8hyTb0WUhm0id/7PsTFyVXUo7ZwGO+pnf1e1lriJEMbQyXwkNuLFhYXx+/r5fcy6m7y6SMXEFZjbcRSaoltDVfkzHIJR2zdqTsmpzm3j/fejPFUOk68WwtRIvj99mPMeR1aboRBcGo4w6WkyEdmmeXFdxXPPDTDZGpZHTmFngNHDkzR5/PEbgVhDJPxGjNPfQb3/zpNHhV384msEMYZTbePI4vX4KKp+TE2qLLa+GGGQ49/dfpz+CTIsE6oiqmr3/M+x/PutwqFhEqdxjN/jKaA9mtnWHX308pXUcKipYcRDsvhEYwVpAS4bopOt/IqjqNYWJhDSsF6z5Kv7PSuXC9k4nM/Of75cjY26z5EevZNVJ4gTr7GqWf/DyTVQiR1qATHJ6rUQodLq202uztD081Gk8lWnVth+XSfPN26aRAIFhYWSNoXiVfOY63BCWtUDz52TdXsD5u9vG/cCnfjAR07doyLFy+ysrLC5OQk3/rWt/irf/Wv7uLq7ow9YYBu1TovLS2xsLDA0tLSh7m8W+bDXtuRumCJKrkVzFQikm7OUhfSzJBqO74BPbg4R3tbWfJ2rLVEqRkVEUB/ENE89wq1eNvGpHMGp99ibebIdddyS4G/YRcxCgcJAQeciyPlAYsRDtY6xRgCnSHTAWfOrzBMW1hX4SmNADaHkl4i6Xsz/I/nvsBnpk9z+JDHv3r/Eba7FqHusHRBcKClcU2FRCsmghgTxXSmj2EtaCR9DqLOLFNx6zi+AGtQXsi+AGRWXBSDwKAQoggVKtcy24h5eGFIR0/gOhaLIc9hc3nAudzQPLyPfHKO9dOncLCsm3k6lVnO2+JsFScZe38ASRIjVcr2r6S1mkuXirBWlhsmvCrdrIq2ConBswOWlq6R26zPEywcx1k7T3fy6Nj4QBFmO3Vhk6lKijamGBQ4uv+TAqJBl6Vh71bezVFoc0tNIaw3uXjuDN7mOeRIZTtNY4bvvkpev/mYhw+Se7Fv7LbBuxsDpJTil37pl/jVX/1VjDF88Ytf5MCBA7u4ujtjTxigvWqd9zpKWg40d87nsaOk8nZRy5W1Da4TVSk24ivqFqLGHBUvQKZFjsVKRT4xf42jt57T2OLrIa+407UWMiMxFjwhtzoZrEWZDDlaqbA5NstQeYLKE+Kpw3jKoKRlkPkMM4sQFi3g6AHB4pzhzbd9Xunv571LUyhlx6/DkxmPNy5ycLDKenCCfdsG3w3jUa4LOd5AcwP9VNIIGuOI0WPzIafel5jLUjZiZ8OsFDBRzSgav4sxDZ7SfCL/OnL/AdKJ2dHObskpZvUUL7R43kKq9fKFL3TpPD1EyBAj3WJshHV4e63GtLtB3R1woDIgMw7rZgFHJMzVrlNYIwTxx78MeUaSO5DtnF90+TUqKal4hmzkdPnu9YsQrvk0XqUQWNU5KIfG9BzDU+8izJYnWxQ+7My/5kaw3K9ggPlqdGfVmx9B7rYR9ZlnnuGZZ57ZpdXsDnvCAO1V63w/os1VojmYK/IOOxDb72FH55iYI3n4E3hn3gBr0NP7yY49ve05CqPiSotAk2bZONymlMJzi2SQtcVMoWGuio5+6bFPXioUjK9eBpnwOBc8hKssk4HGEZZ99T4XujWSXKIUY6/B9ySPHK9w5oLL0X0Zjy3m5Npw8v2Iw+Eqz89ewGrLzOorxAsnxk2aY8PMdsHOwltMc/BHeSwhJbkMETYbNdxarLXjzbsYwb1zBLSUgui5P45v+8WmfBlrmY7PUkkvslI9RurW6cQ+jsxp+RG+zKgwKIyYTXB8j7WBx5lOEyVywiAar9STOW68xg8uzLLcknz80DUGBI7W144bGFuowJmRjp4Shoa3VQmnpETdxTgf4XiwrbDCOD5WOmOZJjv63WVyI3hnvUWUFxe6E/s8NLmJ75RG6GaYu/CA9ip7wgDB3rTOd8tm7BFlDlUv26EC/UFgLZzv1eilDrNBB19tbYCB52Hy+JrHSSFQSpDrkScCRKlLb+ZTTB55FldtmQprIc4lm0mhrCyFJVQR/jbPQGuNUQopJUkuGebOOHSQGpcl5pkJBnjSIje64xkuxkJfNIioEGmLjTKEyXnlQg1jBJkVzF4RlXU9yYF9Dk/wfTybkjkB0ycWeH/1ML81eIiKiPis913C9VMM5x4ZvwbL1qjy7V5NlBXrCEf7qRAO60OHqUpCoadQxKviXLEeVVkeNqh4FjFKUBkEpzbquFZxsLZeyAVZS+vi6/jDNi1geniatyc+S6pmmK8lVHQHsFsJeyFIc8HKsGhU9aQZe4mXyXJLJ3IZJIpGmHNsdud7m+SSkxtNEu1w2eQGKqPmZ8xU4w9Wlko5ZNVp3GEbrMW4Pnl1q8CoGHK4VQKZaIflQYWDzWsb0pIt9oIY6W6zZwzQg8bFXoXN2Mcg2Ux84jxitnptI7AbbMQ+m7GPRXBpOMFU0KXiZjT6S0xcPE+SJEQLj6Kbs1cdG3qSXBuMhRdOtTjbDsi1oFnJ+ZETG7jK0E+LbTDKvXFZs7GCYR7gu9cegKetuOpLkxmHlajOTCVGNPYR9FfQxtCWs6yJfaNHCfqp4q0LdRxPISTksSXLNEoW+7QxkGlJYl2W80mOOudwdE7DrrNmDgPQtQ2+nT7H58LXkUkfZ7hBy1g6ts55fRRrJXleCKPOVAeErmaYCdaiKhejjAvtSZTIqXptAkeDLQRXO3kD6Trsqw/JegOMdEm9Bp5jiXKHC/0JfJkxGQzxkh5e1NnyYHTEI8nL9I8UzaA6lgS91cITNQbjBmzK5uXB3sTaJzYe1VGFYJoLLnRqHBKnmWSTfnsWZndalEv9ysj4FNcSINYeOlbMVeNtob+bk+WGla7DhXYxAuK5Y8ObGjAT1EmCaxcyPHhb6IfHXtCC221KA/QBYC300i2FZ2Ml3cT/QA1QPApzARgkq3GL/dEZWud/gM1iPEANu6SNOWQWkTVnSRceAWsINs8hdEZqXVY3J8hGvSabQ5fvnarz5MEe2l7eEneSa0kqxFhnz7KVRwhcjZNocnNZC22Uf7GS7lAQOAmVQ4+z2h2w2a2xfRR2b6gIKwpndKjrCOJ+DKLQIsy0INOj8QPASvUIWngYBNPRkLVh0ZXdFS3WK4s0BmtIo5HAhG0zZyu8NTyEHk063YwDjk22qaiUUG9yfsPHURJwuTCYwiOiwhAbVBHSQQHKs7Rli07ksFgtNvUiEil5e2MeKQwTZo25G9TH+8M2djSHxwIyiwlsxISy5KJGZAPe7+/jQGUVheadlTqHui/ziPMershJ4pB082NkrZHxzlNEFgPhVc9lKUaha1N450pY6n6GFEUTsTaFpNLlax5nhiiBephzdE7z1lLIf3mlwR9/qnvH1dXTlZj1aMsLClTOvuvlskp2UHpAJXuWhp+yEQfjnhklDHOdd1DZltFTWUSw/B5C57jr51HxANuaxEmL8EdIzJemX+V/v/jJ8TG5Fjv6i6Qw43HT1kI3dllNJpmpDsmNBOlyNLisGABzlYi1YUBitowFACZHpRHdpZMor0YzcAuP0YIjLZn1xxshgFJFquFR8zovmafGd4NN2aVag9TZUmY+NNFlMw7IjUS6ihR/XJVVvAbQWoxGjhekWvH6UgthDUhBsybxRnf6Bococ5mrRAip6dhW4QUKgZKGOBFkObgOeI5FSYM2hRxUnxqZ8JF2NOLB8YinDl/3fbRCUu1fYGLzEo/ohA1njk51kb6cL3qAhOGIOotLEWL1TYRcfq8wQNbgDlZZFIo+FVJ2jk3wnRyJ5fWVSVJTfPUdoZkK+1RHeaE4t1Q8i6csWV5cdyhe18HphPdPp3jts0hhyYMmutK67mu5FkpaHpnaZHlQGMiZSrQjzFtyfUoPqOSWEKJQK74cgpPC0PSvHabaLWpeznx1QDsOEMBEEKPSELu+PdVOscFSDJVzNy6S1XeGSupOfPmRuEpzcCoucvCjqI0rNEZYpJB0IoeTK1UsgvOdJgLLMwd2Nie6yjJfi1gehCS6qDpzyJikKLu3WiPTIY16laqboa1kmCpWRDBK+o88L2tZdJaZYo16kKM1TIQxx6qrRNnOLLojDVUvJTeSw5M9MumTo3BGGg/WQmJ3SjFECWS5Q+AVSjzDtuXArEEK8EXE4cYFfKWBBN8mrJg5Mi1Z2VD0h9DuCibqFldZmmFOZ6hQNmeWZb4mv8RR8w6zTht78GF0dXsy64pNxVq8/iqOLoz4VH6J1rBLe6pCtrJCMDHPueYPUU1WWdx4BaEztIFBYghEhqdzKjLjUedtLpp5LJLUreIpy776gFPtOqnZeu25VaRGUSUbfUYESV6MAr8STyf80Nx53NFIDpEnWKl2zI26FZS0LNRLr+d2KT2gkltmX31Ixc0ZZg5VL6Xhf/DCjVOVhMkwRqcxWMtg5jBOZxlvuFF0vOsMsV0qRgislDumiLquZbE1RBvB/taQY7MZxgr6aVFKLSXjsE3LT7mwEbIxdJHCMl1NWWxdHWYUAuaqEd3UxRhopBfxuVoaSUlQGN5uV6h5CR4JvSzAImixyaPiLRIZ0gxSFut9AscAFRBgcljpV8mMoiKGtNciPvFojqNA49FxpmmZNgJLRIXEb+FlZiRtI1Bomi2Jo0YK28lIbFMJ5vz1kfEp8EhxTEIna9BoOGRJzBdab6Ech+8PH2OQuUgFFo+L+gCxcVhW+/CJmelohqsOUloen+3gV+cJ+xeLrcUarBtcdV2wmtqZFznZ+iSpW3h6kdvEQTPXe4eoMoU2EFlJICTCakKZcFSeIZM+UdAqzmO8HaoSo3fnqt8V9RACV1nivPAY0xxMFFELtt43aQ1O3CO9TQNUcmfo0gMquR2aQUoz+PA06Ky15Mmw2EEBazSd48+zONlgZXUV79JJgqW3kXmK9gLixUfJmouIzbMIozFCMgxn+HRrFSh6eoTwUAKawdWJa0dZPnt0jY2hhxCWyUp23dyAEFBxMoaZou9MILJ1PHKEctBedcdjL204PL94npofk8Q5Kh4yYdfJhc9F7wgGyTBzCZzCq/RdeHNlgl7mA4LlPORiJ+Xrr2Z88ekErKEnm6ybSXxXMFNLeEx0MNMdVk+1ydKcU9XHx+EmKcH34EC4ghv6BFeM6bZAL3GJc4fQL2SfpvUyWa7I80d2Plao0bUyOI7Dct8lH+WuvnvOZf9kjJLT1JyE+XphvHW0iUoH4/J4Ix2yTJE6W9fJSoeBN4mQAnfkvRihSLwGQdrFYrFCEnv1cadpnqVMh0MGmTeWdVFC48l8m7dpx/m8wJNIaYgzwSBxmKq72EyMhWYtYNT1BWtLdpcyBFdyT/iD72X80euFB/X8xxy+8Ox1vvTWjI3PZYzJkY0pTD8hPvI02dR+VH+dvDmHqbYAiKYfKgQrhUJojTQGKcR4EOGNsBQFCJ4y109MW4u6dAo7GGBbR0jDCTJ3ngm6zC8usLrZRcZ9KmdfAWt4OD9CnjUQDgShQ8eZZz0/SKxqZDJAYHZ4JCcvKnqpO+6wdBzJ3LTLxmpMmHfp2gZDWwEhSHKLHUrmqxHSah7OXqU3sZ+1PGFotuTklbT41YDcQEwVZ9Q4ao0luHiSpwY/AARLwXHiWnEdHTQ+Kcm23Iu1UA9ypuoZrir0Ttf7Lr3YIc0laa7wXYs3WCXsnkEKS1qdxigPlfYxbkhancY7+zrKJGi15SG5+gpv01q0Xyet1MEakuTqm5+JMEXTYXVQwRhw8z5io0dLnCWvNGFqHn/b2+45Es8pjCw2JO/WUSMBUuP65LXpm35GSnaHMgRX8qHzxvs5/+mbGcPRXrPeyZifkjx8+Oopm4ybK7eNuL7iQ6sb0+jGFZuGECBGSWnHueUPxSBVvLU6QZQrXGnYVx9ysFUMjJNxD2E12q9Rfe+7uO2LSAyNjVNc2v88g8YikdvArdRgfZ3au9/GiQsJmCdlm+XOwxAW62w4QwayicElkAmhk5JpS5QJ2u2c3/zdnE9+lqvSKb7MqJoea0xv+6MgSzS19RfHSgXarzKrNjkXeWiK3pmqbwmUpm8kAxOyntWpyR4TmyeZ7C6hRnHLw8NXsME0ECIEPB28zkv6aXRu8VVO6rhUgqK6DIoKs1YlpxcXYTglLdW8zf7kHVyTFtcuixnOPkQcjkZ3Wwuez2z3LdZqD2Gkg2siFruvk+PQrcwjkgGuzXHCFu0ooJ+5VGWPmnPFOAYpmK2mzFZTKqdfxF87i7AaIx0S5yiRc33FC4Qgay6Q60I+yUoXmUb43YsY5WJHavYlHwylB1TyofPq+3psfAAGEbx2Ul/TAAkpEcrBXp75IgTS9a963O0ikiHV868idI4OGwz3Pw5CcnKjQZQXG7ajLJtJQNp2mLNLzJjlwhR2l3E7q8hRFYObR0yuvsGgsTAO5TiDzUI5e4QyOVNmnQ0WUeQoR7Lgx6Q2G/UjCbQVRBm8/K7m9LmEh9aHTEzXikbOVDPc6PLpYx0MAkWOI02RYDcuKo9x0tFd/Mhrmg828WTOetrAkYb9C3W8DBwN/TTAoGhrn6no1bHxAXBtRjvxqPtgpKISKP7/7b1pkKTZWd/7O+e8W+5ZWVtX9b7OPqORNItGM6AVYYx1uVyukEBhm7iYCGTMBwe+ug4syQ45QL6gsCMIeeECvoSEgQBLFgaMgSu0IA2MZjQzGmk0a/f0Vt215575bufcD29WVmVVdXX1Up3V3e8vomMmK7eT23nOec7z/P/vOvf7qG4TIxX+yD6+67yTyKx+XlIYXBVTyCRnVCPdWeyghfQ7gEEKgeNeoO2VaQWCUEuWpx8h1ziHY0dE0gY8zpbuZ+qp36GsXsU4LsHb38+pWoH5VgZtJEpk2JNdZsxrYJBUgwKNVgYpDPuKTTj4JqJsCau5RFScIBhbdbvdCtNLu8lug/zMd1GRjwGCbzdh4s7tW7WnXBHpDijlhnNgUmFbcV+vy7Zh3+Slf+CW66HjxBxMKoW41snAGAqnnsbq9lw920mVW3v/ff0VmWtpXCuRqfFjixkmybNElm7PD2fj+ZEtDVk7CUDadjHKRqw1S7NsnLUVesbgVi+SiXwiabPs7cUIyd49Fsb4/MVfXODdj7jcsz8ixCF3eIJzokSnU2ei4IOUGAOuCNhb/S4As2ovJ/P3slfPkTM+FadJyW6xGJeZXc4xmZE4aq1kD9Qy04y130CZ5APxhcdLzoNMZSPKeU3ujWexuklZu9AxbnWGbKVD3eRY2Z0W3Ij9BxqERtIOHWIrg/Q7/QpFjMGuz9Op3I0frzy/oJo7mIiiAiDp5Ceo738zhcXXCO98CJ0tUb24akUfG8mSX6SS9VnqZJjvFNAkgbC5YHOiUoWJIwQTR67iiwGZpTOoKDmHE4CuLWDlq0S5ylU9XsrWbGbBcrOTBqBdzqP3K85eEMwvhlTbisP7LB66e7P02ypSXf5jDbWg4TuJNph76eIBGXaRa3qJBKA6STAqugFN36Jgd4jFGr0vXC7ahyjKBhUzg84UEM3lXh+MS3fyKDk7UV4wxnBBTxAUjjJSP4UyETqTp7n/AYJIYqteKXTtPJbfUxSIwdIhc7nDlMsO5XJAtRryl3/j88asy6NPTPd9c1xXJFUFJJlGKQ2hlWGeDC9l3opBcjI4SEVXKdptOiZD0+QhMrRCm7LnY0lN0GtYnSucIB8ukm9ewCA4k72LRXuaxXrMtG5xnxkMtkLHTKtZLGcaP1YIDJEWLPkZlNCU3S6FbBYzLxBrJxghe+Kqqx/MhhWwkPj3Po7lPLZygw2NwpA0mDZDrx98IAlOF5pZjow0dp1ljzFwvpHDjxU5O2Iy1951YxwG6Q4o5YYjgw4ffngedFIkEOVH0eLa0mp+JDnbKBBqBRhqQcj+QnPTH7lWNkZZsEbR2PTKxQ6Wm7jSR0Q+i3oUesoPkhilIFRZljNT5E7soXv2PPXFLic5Ti4ep9gySAHLb7RpBA6NsbcxU7oX13TIFDxOLVWItMAShkPlOhNBd+DnZ+sulok50xjliXdV6C7Okc/EHD+a5Xx9qx+q4I3s3XRCB0sZIE6EO6MRmiZP1o6wTMSB6FW8yKfWquBY2USlQICrYhYn7uVb3hOM6VmmmOGIfpkXw+N872IBsm/lQfXnfevrKFMk8nJURAOhLGaaub5CRmwk9cChUIiI3TyyU+uPMnZyNCMXP1IooclYAYqYmFV5IyU0mTUW7EJA2QuYbyWK20poyl6nd93G0GRIxEGvthG0UzmA6jb6KbjYK9CxMlhr+reuhpPVIjU/qWis+4YwlhtU329H0jOglBuO3V7s2zpjIqz2MoGb3/pOl2G+nekFHwBBO7TpRIqsvYkZt7LoTBwle+HlJAgqRVQch94kM5VtYto1wtChYzIIDAXVxOk9fKw85n2HPzm/n5af/NFrGR6+M6CQMbS7MSuBK7ALBOSZrVt0o+SrGQFzLZvxdas/K+wwPvscYfx3cByJMzXFWLZDrAM8O6Lda06db2fIOWHfWC7UkkZcQEqNkolq9MouI4gTC+zj+kUKpsF59jPLFDqyEWhGPJ89+TbNTswJ8TIHzOs4hGhgn32Wb4oHuWCmuePA/Vi1Wdr5MeL8KARJEDDSwpjBknNjBLHvUxs/TmH+NaSOiN0cJ0ceodkrKw+NwUSJ55MlQ7TK0+m2KThx36hvhUPlBjk7pBnYlDM+I55P24eJTJ1u5BAZiSCpWnR7dhdXi/YKNPfej7V8Di0UrcIkaEPo+5xvjjDbyKCk4d6pGhlne/pzxkAntPqfiUHQCNNSb1j1bbqVSAPQbmf9t85sX0jyUo9n1pVqG7ZeXcW5EYLRvYnEvrKQsY/VXkpUji0bIRUHnBmMSU57fJnHJylplkrxvdNeP/gAdAPBuXnFXQc22jKovtRPghSaEa9NXY9T7lxEmhCDxGnXcISDa8d0wqSZdKGdIeto7ptc5rWlIrGWZKwQ0+mStZooHeL5y3TVnbRVKRmvXnvGIzBGkhU+GKiKUbToWUsgaQQOk6ZNO/JoCcVr6h6Ox9/FJiRHi7cWX+FcNI0/eoBGfhIRB4PCnzrClSFRvGrk5qgYYh9j2dSn7uoNQ9HtBZ+VcWkUmd6Z2fR0gZmZzU3jhICJfJcJuv37ZlyJDA2HivMs+0U0idLBiNfdEMAiLXh5rkAQKcZyXfaPdNY/xQDazdIs7x9wNY5iw8mFLK0w2ak3fcUTxxb7i4DLsm5MaUlDQmrHkHLDMZaNCcJVOZ0tzFsSD5ik210JzVjG36hc3KkzQosOU8SsCkJm7EsrNciom1gOyOT2ApC9w2eEhGyRej3AGGjGGXAcLAxZOybrQNbVrMj79F4FXm9FnHEkKowSHTkBI56PH1p9NWdLaJQwBHaeeXUIS4cov8me7imicol7xqu8slBCayh4IcfG6kgB90xU++PPXHwVq7N6jnVUv8J3rbeyYaaj10okJFoLIjaetS11XM43C8RSgYSGLHGPeIFOpgKWxd54kYXGFDl784x9xa5jqRJBLDEYLKK+Z88qm1jUb3q6sz2kEBiTPELJbSKAgseG74Yx8My5CtVOEjgWOw6hlhwZbV36wY1GRj7xmu9lpOUaNW5o+RaNrsVI9vKWJELAeKbDbCtLZBS2jJnMbfH8txFapwEo5QYTFiaxmvOIOMIoiyh/aWvjxa5L0Ouyj5AsdGAyt0aDTmuIAwrSsI/zLOsRlDCMl/SGlfBaYjePbi8je3baWkgid02FmrI56e9Z9Xnxk6D2wJ6FpDfmUIezizYXazYCw1hRc2IqQCm4c3+JpYVZdM8zTwjIj9Y4uVzEjySOipG9lbORFqFQ2HGVoDhJa+pOJk5+nT3dBp2p4+jiKIIsA4HFGCSDqcUoiKn6UMoblNA9KRqR9Cm5Pr43xYVmDt3301m9bqmT6Rc4ADRkkZnsCTw38fTpygzVtkXOTlTJRf/EJ3lxwnIYUQHLHQs/lgTGIsTCEcHqfkdZjKgui51MbzERU/auXksw1uDHsJrWgk5oyK85Sgxjwbl6niC2EJik1F0rFlrepQOQMeQuvIQJu9RHDhFbLsIYlruFNQroSVPvlbieTuY7lLygJ2MV4qaOqUBahJAyDIQkKly+wS+x1l7XdKo3S14kqZ+c7JKTFxJLZbF12ax2soSFSVR7mUhYhG4R4RYGfg7juQ7n66q/+xrNdtdYP8P731Jnvm6BgPFi1A94npM899oAqKTh+OiaA/kY2kHPrkBK1MQ0TbMH5xt/TKaR6KiphRlad78NPTKF8NacswiBttx+UYAxMNvO8uwZSc4z3HUMRjNdbCUouAGVjE+tm6NFNpHm0TEGQdYKmMx1aPiDO1CBQCgFRCAEsXCYaxUY8bpk7RVhCp3IGjkeUqmeTflq6q9OmQJ1PBkhlELYHiURkrViurHEU/qabKv1Jnddm9kNY8GL8xW6kYVjg5SaZleyto1Zdupk33gOtCYYP0gwcRihI1TQQsYBlYVXCO0MKJt47F6K1YBm10JJw76RDnl3k/PFLfCsOPFgSumTlmGn7FqEACUM8VrrhPU5dylB2ZjIT8KQEOBkuRwN32a2e5CIwwg0edPF7WgqmbAfOKYLbfJOSK3rUHACypnBdIuUMFkKyZ57AetiFaSkM34Mpqcv+/xKSQrr7G06FxcoNmb7E6QdtHDOvEKntDFYdyqH8ZbPsFwzzLaz/M/zdwLQ9gWtjiJnG45Wkv6muZZLN1JYIikTX3E7dXoBYF+hSTuQBNoBDBkrwFnjPhtrQTd2eH52igPFGo4Vs68Sb1IVJgb+vyMK5Na9Z/Y1Bp4VLJUEeKM15fY5LB1gbI/YnQYhmGnk+kUfK7d3LYMUMcfHa4jQJ//iV/tKFVZzESMVYWVv38JJmhg3aBK5BTKO5vGjizS6FrbSVxx8UjYnrYJLGRraJA6kSphL9kRUPJ/Frtu3yy46AXXfpuyvCUSZIoRdjI7BcsHausJIG7jQU5kGwEhagYd0feq+oeytTr4FJyTvhJdM52Uuvoy7fL5/npG98CLmyB2b33jFonozgg6ZYGlDQiIyavP7SEW1eJS/PDdKN1KUyoalaoRSiYfPCjXf7ik7iH5AlySVZkEI/+WrObQWfP8dc0jXparLuCrGaINQArSm1s2QWzhF3p9jLjjB/n0uZ2qKjBUxnuuuuG6TsWLaYWIiKIUmZ8eIKMSpzySKE0Kx6B4gk1Wblkn7EYRR77EctkyhCgF5B7zFk7hhI1l8RA3isIlf2gtsrKqcKrY5NNLEtTTWwmw/+ADIKMBdOE04doAwN4qozyFNjHA8uuW9QOLptJ0zn5Ttk1bBpQyFateiFdoYwBKGidzG6iVITMOm8t2eI6vN6VqJUCtmmiGjGY/xbDeZjZyNbpmXIozlBhn4lSq1lf+KKGC5qViKSxgpcVXM3kJrQyxQ3cbAYboMu+jmMgNH8MZApwZxb3Z1cuCsCnAKv4VqLSHzHnGhjGokgajrFGkefBPeJq+tE0q+cWoUI21cB3CSh7ZkTM7T7MklYw371Wn9ZyMJRhpHRRyZiHjq1Sx//GyFH390no7KUwrmmGy+RujmsaIuexqLBK/+LXbUYanzAGoxg8bital3UKuUOFZJ3EQLboyjNJEWOCrxEXKWZlBhUnUmCXHrM3xj7kHeum+J3JpdxOxCk+WOjURjy5hYJ0UFW7XeKGmw9WovlQCsbh136RyHR45Std7S3wVlrJCjo41+1ZqxPbRUA6Z+uld00B07QpgbRQVtRg6eIKpuXp2Xcu2kVXApN5wwFjRDuy+vEhiYbTpk7ZC8YzZWuZFMRLOtbH/XEsSw2PYYy3S3nKQ2w1Y6UQKIV54ocfwUJGKdIuwiqnMsiruIhA06qYKab2eYyA2W8MZOlkhYICSWDpKzmVwJgtVJS7Rrq02vBozfTKxQe2oGqttIdOWEJLjzIeTcWUKtmJ14M+RLtLoCt7PI6N/+AUIbGpN3MH/HewmiwTeqXDDcOdVh1G1QoAW+xFOKTmStOew1CDRFariyy+g+w6GyzRe+tYevvzbCY/d2GW3N4Ok2XicxWDO2hKwDrYARvYhbS/5e6FzgWesfEJZlP53nWgZ3rXCsHkxVOSKiHShenC3y0IEkRdgJJXPVGE0GMNg6JG93iXXPStsYMnOvYvWaWoPiHvzK/t4TbPyyyDiiUD3NXUcOcLFdBJGYxa0tmY6K44SVfdjLMwgdE2dLdA4/uPq5ZkrEmRIqW4A0AO0Y6Q4o5YYTaTHQFwOgjSTWglYARW/zb+X6fLHp7T2udA0lBUwXmlxs5IlNIqRZdjtk7Jiso3GX56hrh8haezgveruJQWYqDxDk7sMYQyasMSaXyWUKsNxItN5q54iM6K+uk4HrpAG2F4Bk2Aa5atyjJw/QdMeJKfd9dgJVxq4cp/LSX2ELD3HCoASsTQh5luZArorVXkqsKICS6tCWe1nysxgEAk3F6eKKTn/HOV4I+b4TSywFBUazAZlGDGvibCA9zt3zvyIXZ9lffbb/92ywzJ6lb2P237Pp+6y1oaMdLCRur4cnMDYG2V98ADSWOuh+I7IgMhaxEX2lA6d6Hqc+299pustnibJlYq9AkJ/ArV9ExgE61qh2EhyF0bgi5ED5EmoDQtA68bZEgikOE0dXubFEPWVnSc+AUm44jqWxhCEyq6tyJXrl0FusiLJOSLejWAk5rrWxa3675OyYo5Xa5lcaQ940sHWXUK6kyjSeNdhX1Akl7cgGlQyiaXkIp8JKUbnq1rA6VbSTR8tVbx+EXJ3sjEEFLbSTTar3jMFEEV87P8mdB3TfUA7LoTN2KHnd9VnsoMm+is3ZJY+4Jz2zf7RF2G4za6aIsJEYKvEcodZJmbUxICyCWCLWzbXjZcPxso/q1JLKNxSSmACXZ53HaHsFKMFC6wEefPn/TXZ7CKTn9nc/a4m14FwtS6DuRqLJxVVK4SzfbN6FEpo9+QZxGCBDHxHCGruhJC0rRV/RwFqf5tQRqlMj9gpEuVFir8jp84aLYQVsqKg53mR9B2Ndur8s+RwEcba09W1SdpS0Ci7lhqNEUiZc9R2iODmwtmUSgLYKKHvzLSyh6UQWI8UMRVHfkfEF2QpeNMMB/ToX2I8RCs+TVDKDfSuR3ni+Eq2UiRuNaiVipU7QxAiJljZGyKRoorf7QQgUoNpVtOUhTMRi02Vm2eHo3u5qAIK+gKrvlqic+yYH/AXuE5KF8XvpTJxACFiKKnTFahXggplAxl3u9f8Wx/hEwuIcdyBc2VegCLWipkvUliQPBs8mMklSgFGckidoy9X+qEZuLxcqDzC98Az/Nfo7vPrKMeSr8NCdMQ/duTqbzLUzKBOwX14AYIkyr7cOkrMiTlTmGHXr6NCgjSFn6nSiEWIrm6TbgmWKpdVCksgrYDcX+kFIS4sosxo4Fv0sp+MKce897cgszkiFA2KjlXrK7iJNwaUMBdcyTFo+UQytQCSLcwk559LfSCFgTz7JDSXSLdc+jlXb5lW0V6Ar95FrL3NUnifIT6wGjP79knOotWoIAk2mt0sSUYCWspf2Mnh+HY3AL+8ntr2Bx+qW9uEtn0FFHVqRy5fm76QbSN6YtTg4EeNaEZnuEhPf+3PO3f+jtEcPccep/44TJemlTGeJGdejVT5AIAZX/Voo9genKJhqb+BwwH+R2JsgbLXRQnHR7KWmi3i0VzX6AFOvYqwGlAffM//w/fyVdSdPfW+0pzsHX3pWsG88Ymo0+fxUHLBHzGCL5PFc6TORj3EKeXwjV2ceIXCKLodO/hVL5WPYcYdSASKxaqcQlPeigg5Wp5o4wBb3oL01QdF3eo23Ky9R0QxcIA1Au520ETVlqFgKSpkbvwzScYQJOskuQEiEk0Wu2W5oJ4fv5C55/7pvrZFmScZfcKK+krMREqRF6ORQURdhIHRyxJkSsrFI9oWvIMIuxs3SeuA9NKfvQUYBT58pcaZTBODV8w7n5mPet/cUh91zhG99jGrmrUzMfasffACsqEtx4VVa5f1IBp2KlABPDO7cvKiJ+u6Lfd+bvF2hOv3jqLWptFYDefEMh+UCVW8vHW8USKrJKqMZvvxSrh98AFpdwelZ0Q9AI3IZ26wGM1tE2DLCqc0QZsfRanWHY2yPytQYmeXXCMYPEq43kROCzuTxS34WI1mfc7W4X6CiREwle/UqC5dFa+zWAkJHhNkKZt2CImX7xLegIEQagFIui/HbqyKoJk6CUWb7itwr5c1rJD8Hu9yVnZT6YpLJVlqJ0CmQfeGvsOqLye06DbLf/hL1N/8gsXR44EjIhXrAnkKL6VIHpQQFN4+uOygijgXfpuU5xEKheoUGBjDZAnnLZ8+ZL3Ou9CZ8u4A0ERPhOVjXcyPjsB98APLhEnvb38PbN0VcdVGxD7UlRByRies8ePJznBl/BF0cY3yyhJKGPRXDi6dNX6ki4xj2ja8+j+MITGeNUp4x2EETK2zjSIduttKvYJM6Qh57kFbz6nYsRTfiSKXB+XqSehzN+uwp7NDux2i85dP90nLlN/HL+9DbaH5O2chOpeCefPJJ/uAP/oDz58/zS7/0Sxw9enRnnmgThh6AhvniUy5PonJ8hYrcxiSr3sgnypSRYmTgainMoA2AEMTZCiIKwGiM7SYTrtaIYN3q3G/T6Ag0kHN87t5vMZlZ7VnRfgA6QpmIgqnh2DaLlbspVV/HFiE6N4I8eIxyXMUOGhyd/Ur/oYNMmebkcWz/bJLDNAZRWxh8aUA+GxFIxdzIHTjdGl4hJF9dQACZsM6JC/8f7coThDLZnb39Ps1cVXBmTiIE3HMwppg3NLuQcwEnhwl9iJLyc6lD7DCpUMt1FhEY/EwF26+T7SzSaZzDyY7hF6d4fSFHvWszWeiyt7y9QDJV7DBV3Frl+noggzYyXH0eqSPs1iJ+GoCuivXVsNeL/fv38wu/8Av8+q//+o48/lYMPQAN88XvRlYaPx119VVr1xOx0rq/dvm1pp9EhB3s5jxCa4yyCQqTeMunsbp1BGC3FhnzRph1DhNhIQXknGjjaxMiCTwDmA3nSV2rwEwwAQjsKGbUXRroWcnFddSasxlXhMxWDvJC9u28pfNXFK0OmXMv0Nn/AEa5oFcnSG05RE6WUNi4nSoCQ5wvE2uB6jYwQDu/h8bIYZTWIG2izBjtwxVUcxmvMQtCEFWmCfeuKjxIAf/bE1HiTOon5QGJskUShAoZgc5VoDduZ/61gWy/G7ZwYh8V9QJMHGG3l/hG7S4u1jMYBLMNl3agOD5x7crRDV/x+mIRY+BAucVoLrj8nTZlF3yBbyF2age0b9++nXngbTD0ADTMF7/bWGi7tEIbbQS21Ezm2lftVnk9EU62dwaUyONIr7eCNQanMdsX+kSHOPWLKL+5KmJpNF7QYMI6R5QZRVjO5ZthjQG/hfBbtO55HOfMi6jaEpGT4+KJ96KESfZkQhBiDaj2hNgYrTHSomaNYYyhGWd5S/vLVOJ5iEB1mwgk3YmjePMnwWhiy6MxeQKEoDF6BL9bxcIQFveAVAQXZgiMzRscwGpIxoprdoFCMn/fD5IJ6niORGcKqwMyBrsxiwraxELR9PYNBHAN+KHBtQX0znr88j7k0hvIKEQrC780jdOYG3iLIiNZbjv9g+lIKy40MtccgDqh5Lnzoz1JIqh1bR6YWr4qWR3tZImdLCpoIwAtbYIt1NxTtiatgkvZMcJY9oJPMjmFWrHU8ZjM73yqBJIvdytMml49ZXCsNb0kyoJMYZM7xRukloXe3FdIAK3IIu41qHqW6RusbSDoQNDu74o6R99MVY2jhSKMJHYcJk6iRlGPixTqZ7AchTAxnHqJyI44dfAH6dpFMIbABW/pyYGxWM0FwnyFU3ueoFRUCMlAkBUj0/jSRoik6nC5dITf/0vJUl2glOHYPskPPqJXg6kQWKUSel10Vd06QTcmIkvGtDhbK9IIMwhhGMu2GM918COwlUH2toXaK9Daczcy8jHKwSgLGXaRzYAk+Sg2PUe5Fs+gFWYbmX7wgcQl9lw9y0j2En1gWyEE/shBrPYyQkdEXmmTXW7KdrmWPqBPfvKTVKvVDX//4Ac/yEMPPXT1D3yN3JAAdL1e/HRPOXl6GwrKw+Jqx9Zox5xvDAYbx3WZnh65xD2ujK3GZYzh9fM12mGyyo2MYF+lQDm/9WRhjKHevIj2V8ft5AooxyKuzQNQVaMsu9NoHKRZLUTwY8m+qcqmY1s6dxJ/zdGPxKBMQDMq0AyzGCRgcGSAQeF99Y9wm3PJmY0xzD74/iT4AAiBbRlq5WNklp5PUnragFRIadDVJb548n5+6n02Fh1a9RrSsiiNjCKkRGvDc28E/NlTbeaWk+AaxYJXTsP9xyRTowat4exyke87HpOvDDZrvvCSzTwHiFEooqSfyyQ7nYsNRd4JydgR5coouYzL3FKTjh9iO4qJ6QIYQ6O6iJk4gF0Zg2YVmS2SnzrCsZcFL5+HME4ESd981L3m30ZHwqsLg6d+I8Uc09OXrnJcy2bPHy1bBKe/g2nOIr0c3h0PIy7X+LoD7OZ5YztcixLCxz72ses4kuvHDQlA1+vFz8zMMD09zcz1aGrZAa5lbNqAJVdVpwUapTvMzFR3fFyRhlYnUYGGxFL5/GyVdv3yMvoiM4oTzSXFA8qm45TBrWDjUAtc5uUUWiSqBVYUk7F8hIBYG2YuznH4wCZj85NAuPJz0wi0sOhGbi/4JNdG2qLbaidq1Gt2YrE7uDsQQhAWxzDxKCvdqrGdBQFCaC4sGf7wK3Xee38LbeDUQoZ4VqMjn7wT0AgdusHg8jOMBd12RD6/TBgKvMjwlb/1eXvxa7QPvxmAIJbM+0XinpRCLGyyLtR7RzmRUTQDB8+OqC4vMjMrCOJVn6BGo0WOen+X2RAS6Y2zd3ofMzMzHC5CVrg0uhbjeZ8c0ZX1e+kYb/EUKvIxUtEt7cVzC1SyFZbbDhpB0QvZ4y0yM7P6+mMtmG1liLTAkobJXAclzebfM6PJz7zQryTUQYfqd56kM3HpUvGdYBjzxvUOeGkKLmXHkAL25Nsstj0MkLUjiu7ul7OPrQy14hFsEQ8oEYSFCaqNbM9VFEAQm9VmUwB7M788IFAZVBT2HVgD4aJFsutZzz5nDufgAczLy4gowNgOxWiJZt/pFCwRM2rmwV5ddUsdQKw5WUt2mGGUTPpnagVq/srOz0b3rBkOTCsWFiP8ILndWN7nwZEZPBODBaVig7rnYc+cQ40fIs5XiI3YoGC8otkGSQ+OEjHzrRzlTLtXpr16e6l9BjqVjMaEg5VukwWfycLV9fF4y2ew/Z54aAze8lnae+7kzXuXqHZsDIKyF6yvA+FiM0un97kGGi40BfuKm589iTjcILLaPzNMuSJ2Sornqaee4rd+67eo1+t86lOf4tChQ/ziL/7izjzZOoYegIb54ncbljQ37MxnLUokZxBBz7Y58ae5fNdbM7A4XSsS6cQFdW+xyYi3dcVUFAtA0ghcOpFmfQmK1r1xWMVeubcAAS4hebtDLVBoFKCx6TKWC9APPIoZGUfMniWcPkZw9E2M6DaNyEMJw4jnY7UHJz1hDMuyzP5DDuXJBeipIvjxin6eSQz+tCBvd3jrMZ83HTIs1uC5lwzfdz8IKYFVWaSi69OdOIwMOsSAq2JcK6bbU+KWxLgmwEUTYWFQzLQq5J0AaG94rzZLuHQj1SuN3xxjNNpvJ+lIZSFsbxMzvN7jrwsEQkfJ3yx3y6KDcF0qKNoiNWSUnej2rTkb1ENIv90K7NQO6OGHH+bhhx/emQe/DEMPQMN88Tc1RpNZPIUMuxip6FQOXXWXuRBQcmO6kSA2Aldp7G2IHc9UPQ6f/h9kghodp8Tp/e+mPBn0D+ZHzBILUZ7IyiLjEB1r5ky5f//Ij4niwV9VvHaZN2AfYNBYuFYAPcM9l2C1efPAUfSBo3RVgTg2RDpmsS5Y6uR4y76QyCtgdWr93VekHEQuS0nGFDMxlgoBB1smgVcJgxRgSU3B7iZ+Og7sG4fREYeqnwFxYcN7EmWLWCbEWz5D6JU4WBJcbGaJtWAsPMceztDNZWl6YzRMnvPtUUZ6pn5Zx9Dy6ZUZgLQdiP1+Cq4b25zsTFJ/I2bPJsdzxhh0t9m/ventPMQajyQ/EsRakLGTlOlaGoHD/3x+hLff1aWYvfQCRAqz5eUBhKQ9doTM0mmEjtG2R2f08KVvn3JJUiWElF1DZvEUdmtxtdx5/jWaU/ds7UrWI/GYKRFpSc4NuWeyhhT0qtK2v8w6duqPqNRPAjDSBjduweS7+tdXqq9QWV6gmttPJqjyev7N4Bb716/0w6xFSdHbf6xiK4FtKZZCiRAKRHJ9LFyMkAije5ctYpFMqpY0jGS6nK6WeeFCiUcP7oU4xvbrGATV/FSyMid5y3RveXmg1CCqSoJeismS0WDTbG/kBsWiGWOPuLhG+NNOVAz8KpA0YlI07CsapN8k2z5DID3quWm0sslgOOIsEsQ2p+Yd9pQiihlNFIOSyXthTJ6FemJvsRCOEBmLhQZUrMRXKG61Wfwvn8d0u4x84P2o/ODuwsSrO49nzxQ4s+ShjaCYifj+ozF5HRN2Qhq+xV9eOMHZdoZax+bH3lZL/IU2YSLbYbaV7Tvvjme33rVrN09ranMbipTtk54BpewaZNgdSNEkufZow6p2PcbAczMjNPxkoqp1bQRw754rL7PN+kuDl4Nl/DWD0k6GbFhjqpo89oQs03LHiLEAQ9aKcKzBXZuUAseWhFESVFTvshDJWQxmpVlX4gtF1ZukLKsYJB3t9gPwam+QSVS3haBb3kvXL2GMIZLrnzfZbUWxpOJ16Zg8tTaE2iLSEqu3MzLGEPaC00UzTawlcw2PWpxHYrg39xrZ3nsgTYzdqRFnyr3dnKTjlga03aQwvDHv8O1zZfJexDvurDFeXA0aQkiWozLNcDWwGJP8050up3/2/6T70qsANJ96loOf+SRiwKUwGcxSy+L1hSxRrwx+vqF4fmaEtxxUfPGbBc4trj5+rS1ZbinGi5sXoXiW5kCxmRQTim2teVKuA/oW3AFd4hg4Zbdj1hmCGSk3/G0z/EjSDdfeTtD0tw5al8JaV0Vg24MzkT9xlLA4gZYKLRWTco59xQZlt8ueXItD5c0tImxLkvUscp6F56j+GcaI6+OHglAnxQzaSOa6ebpWCeHlsKxeEDGK0NhYluDuPcsU3SA5N+k2QMcIo7HjLqInKSSlxLYsql2H0/UCc+0cra7BkokaRStwEEEHu7OMV5vB767OBC8sTvFGe4JamGM5zPNs/QS+XrOu641d2xkiN5eoNKxZymoNLT+5fbNr8cwbGzX2RrMdLLESDAzlHDhKU/vzv+oHHwD/5ddofP3pAS8l0bMzb/pWP/is0A6Sy+ubnW3LkNlCaX3lZSnZeypjQMdbnk2lXDsrC4/t/LtZSHdAu4DFpkXbl0wUQ9xLNWeuo1M5hJh/DRmHGCnplvexmeXyemylsZQhXLOaWlndXymd4w+RfelJRNDBOBk6x9b1dElJ8/hjiZMmEGeKlEVEOXN1ts3LbZuGb5Nb4wIbG0V89g0K7ddxRvdTqxxJ7LeFQAkoeiFjuS7uxdfwc6W+uZ1Co+I2Ij/Wf6yljpeY0ZGkBm1puJPvkmlcSCryohC1OEvePclL5bfzRr1AteOSL64G3qb2qOs847JKrBz8wmRyhRB0K4eQnRqKiBgbA8w1XE7Or/bYbNbrMZrxsaVmqevhqpgHj5a4uPH4CYD2N79N+X3vSQo45GrwHs8H5JyIVrCSWtRMlZLque+/u0W9o6i3JbZluHufT97b3nfCbi7gtBbAaNrNGchP3zpuqXGEai8lMlNSEedGN0hD3UhupsCyXdIANGS+/kqBU/MekRYUMzHvvqdKKXP5/htje7Sm7knSblJdMvgEkeSFN3zanTx5J2AkE3BstM5ri0ViLXCtmHsmq1c19nhsP41HJ5HdFtrLwWbVTdfRSfPkQh6hBBl3VSdPxT7F6kns7hyqtUzHKdP2Jgfup1o1MhdfJjj60MDZktggqjo4+Tu6RaYzlzyXUOAodKlCuXqB+5xXOXDnCV64oJhvr1YEuMogR8boqAKxkwU5uBvS2TKuMejeSvWli8W+nI6lNPsrm5dUF92wX5YvRRmA0g+8k+X/+if9XZC9b5rxn/5wrzpv8PuQcTSPHlnmhXNFNDBd8jk2kZzd5DzDjz1ao9pWeLbZdvARcYjTnOv7IunmMm5s8EcOXOaeNweqtYiMk6pOoUNoLRAXJoY2ntQRNeW6UmsrTi96fWfQesfi6ZN53n3PNs9jhNjyzCfWcL6ZI4g1YNONkpXpdKnLZKFLpJOD7GvK4VsOOr+zZbXGaDj9KpXzpzldfBOOpfAcjQSma9+l1J0Fkv6S3OIp6vsm1igHG3K1swgdcb5RopwLUUIjjCYrQ9aG+rwTEHQkGokACqKdyPusHYtURLky/uQRPAUP7qvz9FmLVmAhpeHQSAs35xJzaRUJ0dudAfzAfTW+eTJPJ5Dsr/icmNq+NYLMeBz8D/83S7/7eXSny8gH/hecyUtrrY0XIt5119Km11kKxgqXX/gMvI7euePAmNYUPYjQJ3vuBYSOCcrTBKP7r+jxh4oxG/qX1l++0VxZivPmOJhLA9AQCWOxobRS6+v3xelGFkGcBJ22L6n7LhfrHpVsl7snarjW7j/VNFrDH/4/cPpV7tYx+wsH+MYjHyd0ckxnahxcfrp/W43kXPYOmn4OR4bknABHaorN85zO30/RCxDa0NYWr7b2cc/4EmtPXCZyHRwV0wwcJipZbF+gfbffxW+AODNC++hdoHqpLGV49NAiYSxQ0lyxgrmtDI8db2AMxEYMCKtuB5XLMv7TH76yJ71OaMtFKwcVr/Z+xSsl3zqm8No3sHrpV6u5CEYTjB0cxlCvHCEwUiLi1aBjtpHi3knSFFzKdWUkF1HOxCy2ki+2ozQHx66fOZglNVIYwlhQ69h9ZYCLjSyu0hwbu7qzmBvKa9/BnH4FoRNNgWLjDPe/9js0vv8nuGOyQ8ABnOUZjNF8Z/rvUXP2QCiQ2NgWlLwufmU/Ga+AayfvbQ4fYy5QDSvk1zWAlr2AshcwPVFkZsaiM3YMt3oWYQyhVyQsTW06zGtRLe8GgmXfxdBraHUCss7VLw5MFOOfmUEV89hj10dLcFOkojuyH7d2AWEM3sgYDasMgNWuoTqr3y8ZhzjVmZsnAEFSvdhe7pVUSuJsZajjuRWr4NIANESUhPfet8w3TxYIIsHBMZ9jk9cvALmWpugEzLWz/eCTIGgGV1f5tlNUOxavzJeJjSBjx9y7Zznx+el2BnTeAFy6uMUQIaB97GG6fpso0rQ6E9BLvWkktY5NSSwSVg6i/MFAk7V9HPfyPjfaydCZOHH9Xug6ohiWfRfdO7OJDdQDh4zdHdwJGYPqLCNDn0ZUB5nb9LA/Wq7x+j/4v/DfOIfwXEY/8HeY/oX/Y8fGr50cnfFjAJSnp1kRo9PKwiiFWJOSM+ImK06wPeLiHsBsq8Bnp7kVd0DDf1dvczzb8MQddd59T+26Bp8VJvMd3nLExlZr89eGrL25bcIw0Aa+NzdCI3BohzaLbY/vzZaTK4/fS1Da079tkCkzf+K9/dQigHazmExhk7R3ctJvtN5YvSQk9i5IQbZDyfpRaANffs7ic3/p8N+ftAlCUO0lrE4VFXUIawvY9YubzkhnP/FrtJ9/ibjWJJpdZPF3/hj/9Pkb82LWvoZMkaA8jZYKA0Rens6+dc2oxiDbVVRjHtVavLzT7jAQYlcEH0jOdLf772Yh3QHdwhgDzcBmJAtHKnXOVvNoIyi4IcfGNu/BGQZBJAn1OufTXsGEyOSIfuxnaX3pzzBxzPwd7yWcOkbFWx64vZKGohOw3E0Usy0RUbGryZVCsEyZomkgezpsC0xQ0Vfr9Hn9ECKxm0jabnsq2G34+netfiFFtSn4Px5e13isw0RfbV0RSlwbTKtG9Qbh3BLuwb07+TI2pX3wQfzxw4jIJ85VNhTMyM4ysmdWRww046FWme12zBWVwaVFCClDxBh4dalMw7cxi4asleGh/QsoYYbXuW4MbvUcKmwDstcjM41jaWypCdfsalxrdceWGysSvf/DzLayKAxHCjW8TcRSpwstSq6PHytc3cAWqwEm0A7n2dfTLRMoofGu0w7I6BgT+MmBvLXae7MdMpYmiCICbfWVwp98nr4xIcBiQxDEkgHtBiGS0vB1FB57kNZT30a3k920e3AvmTuGp70WZ8uXvE5E4eA0qaNkF7RLdhy7jbQMO+WmYbnjUvcdVlZC7cjmfD3HwXJzaGNyGhexO8v9ScernUeHh5EC7hiv8epCiUgLMnbEXRPVgfuWvIBST2nbGKh2bfxYEmtJrBNzuYlcm5wTkSPCGIvIjxKBTiNY6JaQElwV9fYaYhONt1XmlyN+848l3QBGi4YffYfB2eTXIrpNcjPfRcZBYgNePoysTG47CFkKRjIx3SgJhhnbEEeDZe2WBAoVdHMOoUOkZRPb+U2bIid+5sfRfkDjr7+FdG32fvznUMWN6gpbEWnBqeVCIkuU7TKZv/6pYWBDuV/ynt0cK/dhcCueAaUB6BYl6S0a/DHHergrS7Vev06HxL1KqUo24JED89sqQ676No3AJtaSTrQaZDuhxaFyHUsahJDYXhZjDEEs0UYSRIpulKSBcval02/GwK/9fo0zF5PHPb8gQGg++O6NM0B29hWcsFfgoCNK1TdYyI/juds/cJcyUcJe4d1vDvmjJwX1liCXMTx6dwS2S1Dei4gCJqammV3YvJ9HCMHUz/99pn7+72/7+deiDXxndoRmkATBatdBa8FU8frbhMSZEqK9DDrCCIV2i6mw3BboW3ALlAagW5SRTJfZVha/r+ocM57b6DlzI9HKXnPSAUZaKDcHzdVgsJ35x48Sz55EsXr1DoG2qPsOlcyqmoAQAkcZbKWJopWgYPCsSxdhdHyotzRg2FOOsS1NtbH5T2VDs6KJwcTApQOQMQbjt5J0k7I3ePYc2mP46R/yWaxJSnlNccXgVUiM7aGcq7Pd2A6d0KITrr7W2EgW2t6OBCAsl6gwAXGUVPTdKhI+O0S6A0oZOpEWaCOw5dYKBrYyHK8sc75RwPU8irJGwb3yyrdYa4JQY0yiVO32lKmvBr80jYhDZNQFBEF+jJKbAZYvd9cBVlxFhTDr3CPMpt40QsDRkSqna0ViI/GsiIPlS/dAeU7y7wNvr3NiKsBSsNxSGFNArDufiJ0MVtDsh8FamKUbu3iXsLUwxmA6jVWDtjjCaI3wVvXgVKfGWP0CY8YQB0X8zPQN2xkoqTe8r2Irv59rRcjNJZxSNpAGoJShsthxqfkO2ggcqZkutJJemUvg2ZqjlRrT0zlmZq7cBtkYgx/o/uGnjg2g8ZyrXKkKSXf08OovaRuTqrvwBk4tUd7sjh4iLE8x4gUsdASuSs53tFEk9g4hyx2X2WYWR8UcKDX75zyerbljrLqtYUoJH/4BRU4HfWO+8WKM8dsIb/A8pTN1F/U3bHTHp6NdvtR6GPtVix+8b2nz5tSecvRadOQT+haO4yDjxMxuRV1AhR20sglvUHWYZ2lGs13mWxl0L1gfGrkJGpZvA/QtGIHSAHSTEGlBzXf7DaW+lsy1M0zndy6tZti46roueehtrubt2iyZuUTxG0AG36Ph5nAyRfbkur3S7Q6d0EYKw2wzQz3opafC5Bzs+Oj2fY46geBvXs0RxpK33+Fjr4vZZrNWdKn4mv8IM/XVtJjoGJaaFpOlTYL+iqnR4IOgjSEIAnJRa0DaRmCw/MYNC0AAx0cbTOY6BLGi5AXXpPKQcv3YjW1S10oagG4SIi3XCGwmrL1sjCHSSerEUuKq02Rr2ewRbuQZsVO/2A8+ACrycRpzdDNFpABXJb9IVyUT9plaYeD+3Xj7O7Uwhj/5VonFZlKkUGsp3n+PwpZxUj7+0jexlmZBKcLjbyY6eHf/vhv8dJTBu4SUjug1NhodYYRMmjRl8pzaGGLLRQuV2D/Qc41VNz5FVfQiYPc0K6dcqRjpzUFacH+T4KgYe8C3x5DpHaQbY+gEhk4AnRBavrku23Uhem6kvctSgGNv8ZUxBtFtIFvLCP/ad2axmx/YK2ghidzCJW+//vxns/OgSzFbtVlqrq7HlloWT56ZQCOxT7+Ec+4VrOYSVm0e9ztfQ9RXq9DeeqjBSDZECo1rxRwe72xpqSEyBSyjiZGEKjNgJKidLIFXRocROoqIrSx++cY3kabsPrTe/r+bhXQHdJMgBUzlm8y3sxgDnh1R8ZJqryg2RGu+dNqAHxoyzrVvV2xLYinRr17bamcl28uIXqm1CbtoHWEyxTUDi1HtZTAaYzlob2ufoO74EVS7itVJ0mhhcYKoeOlU1L5CkzP1AqGW2FKzt9DqX7fYEPzFtzzCSDBRjnnvg/5AG41jGaQ0xGvUyIPYJlIumdoCcs25jey2UYszRMVEnDLjaN537yK1joVjGQreZWT7pULnR7G6TTSm14AKlmUhum30X/w3/NoiSInJleD901C4Pp5KKTcvcVqGnTJMHGUGJtUVNvtaXs/duhDi8u2Bxgx0tgsMIuzy9MIBmr6FJQxvKr1OWSXlvCbye4PcYnUvBK1Db0FEwWW9jyBxP73LWSaIE5+jlQKEKIb/9o0MC/Vkp3FhSaKU4T1vWj1rGS9GHBgLOLPgEGvJWBEePd5CSkmcH+mrFABox0OPJIGw4SteWSihtSDnRNw5MXjmZIwh8ruJpxECZTsoywKpkNkSrjEYY5L3WAjks19FLM8nd9YaUVtEPv819OM/fLlP4JqIYnjqVJFG18KzYx49Ut+2O2/KjeHKpHhuDtIAdAtgK0EQmX61moBNu/Z3nsEfSDu0mKllWDlN+mZ4iHdPfAcpEg9QEW1Pi82slOkajVO/iIp8jFR0S9ODjqMkmnAZObgDqbUkjc6a8zIEs8uD50NCwHvvqXJxNqAbSe6/ew+NpsEYh/CetxG0a1jVORCS8NA96PIEsYbvzo7QDpPA2AiSYog7J1Z19uLAx/R3T4Y49JFqVa5nJfD0x7aJuoExuh+kLocIfbKnn0PEIVFhjO7UHds6uPvG6yXOLHqsfFZ+KPmBe6+sPD5lZ7kFj4DSAHQrIIQg4xj83nm9bYGlrvx4T2t4/myehq+YLvscm7gCCRYh0HamJy5pMEJyuj3G2lIGP7bpxjZZK+jfZ4U41kQGlLj02N3aDFa31n/EzPIZOqNHLju0nKdxbfrvD4DnrPs16xi7OceBTHKuFlysgjeCsByUZdN6+P0EIbi2werFrm6kek2x/TeBVjj4k9LrE/Km58V9iaBg7nsU/foLyIWLyf3Lo0R3P4QIOgg36UiNz71C7pXnibNFuvvvWdVO05rCK1/HalcBsBuLCKPp7L17s6caoN4ebOpt+opYJ5YhKbuDVAkhZdeipCR7aRfobfGVl8ucr7qAYGbZpRMo7tu3MeV3KUy2RGy7iChkKS5wwR8duN62NLYVJ/skaSWGX0AQafxwdf/kWBpvk2IHGfmDUj5xmPTUXKaD3nPg0Tt9/vZllzCCYtbwg2/xB24jgtaAvbQOA6RooK1Ral2bemCjjUQFmkqmS9bWuEpjK00crY7VVoMBR0qJXquPL8TWOxLHI/p7P4X49jfAaOITbwLX6++i3PPfIzz7HdzQxyBQzUVad78jea6gjfRXPy9hYqz6wpZZzhXUuko+S3HF7q4pO8utWAWXBqAUAPxIsNSyWVkFR1pyftm9ogAEgO1hbI9WPcu+is8bCzKxqxaGO/e0oDBJtCZoGGMIosHkXRiBa21MOZn1E/c2vFpE2MVtXOBtZcObHi/RcsbIuZspgssBmaDevTEmSa2tqFPHRlLzXbJ2B0sZDo80eGO5QGwEnhVz5/igzYVyXIxvBs6ALptK87LE9z0ymHPpvU5n/jSE/srosBoLiLCLsT2MspOKujWl65ul9Dbj4cN1vv5amW4gcS3Ng/vrqSzbLiPtA0q5ZVFio+TKtUxAQoClDMcm28QaXBUzXewCiUtmdu4VRBzSXnwV8kdZr51mjIHIBwRYyaTtF6cQ1XPJTkUogtz41oPUEZnl08heY2cu7GBbgkhstFY2bg4TtCAOEIByM4Re6bIFHlPFLpOFLrEWPRHU9e+DwPYy23nL1txHImwPE/ZSoEIi3czKletuLfvBydgu/vhh3LmTyDgkdnO0DzywrecczUf83fsXaAeKjK2x0ubTXUeqhLADfPazn+WZZ57BsiwmJyf5yEc+Qi6Xu/wdU64rljIcHO3y2lyWMJZknIh7pq/euqHkJuZwsUkq0kpr7K+95dOosI02gr9ZOI4bOYwU4/55g5IguvVVyZrQSsq57QydsaOIOMRI67KpNxW0+sHnfKvINy7sxbLgbW8S5DPrfsxCEBcmEEELjGH04FEuzs4hoZdmW7EKMHjWYJGDFCCv84QtbbdXfNEzj+gFnu70ndhBG7ottLQIK3tXizSA7t67CMYOIsIucaYIavs/cSW5fAl5ytDYqRTcMOfgoQeg+++/n5/4iZ9AKcXnPvc5vvCFL/DhD3942MO6LXnLoSb7Kz61jsVkMaC4RTPl5cg7EZ4VE8QSW2nsNZp1Kz01X2/ex2v+PrgoOOA3mSh0mSwGOFFnUC9NR8luyPYSFQFr68OuahOef10xnvF4a1HyPf8wf/rqHtp+Momf/XrMB59okXU3BiHjJlpvcs3EPZHtstx1iLTEVTFF98p19a6GzfxxwvGD2AePUXvpWaJcmWh034b7aTeLcTJEUUwcJTs6x7GvizpGyvDYqSKEYc7BQw9ADzywmiI4ceIEf/M3fzPE0dy66Itn4VvfgHwB8dh7EdbmPTUTxZCJ4vWZYC1psOTGIKYtFxW2WYpKrIhxnFkuMN/MsG9kHhFfQsRzG8xVBf/lLy2WmxJBAffhSZ6tTfSDD8ByU/HiWZu3HtteGbgQUMkM3757BVUep3vg3g1/X6vxGkYxUbT63nf9EM9Ng9DNzE5l4IY5Bw89AK3lS1/6Eo899tiwh3HL0X3tRczv/zo0qgCYUy8jP/zzCDUc/5VO5RAsgawZWBOflDRJ5ZXtQRysmVEl2Nsr8fvys4rlZu9MBMGfv76PPZPrD+INjnXr5NONgYYviQ1gwLMNItbrbmM29BLFUUQcJYsNZVmoSyxKUnYHcbzzVQg3eg6+IQHok5/8JNVqdcPfP/jBD/LQQw8B8PnPfx6lFE888cQlH2d6enrgv7uR3Ti2+f/w2/3gA8DMGUb9Jt6xuza9vTGG7503LDTAteDBwwLHus4r5337eMc+w18+D80uZFx46LjN3r3J+xd0OzSX5xFCUBidxLK3J8jpeXVgdQe3WDO861HBQg3qvYK+6THBex4Zw1Jbv6bd+FmusHZsM/N1ws6qYZwfSwqOg++vlporpdizZwqr18TU6bSZu3ixf66g45jRsXGy2SzXws3ynt2MXIsSwvWag683NyQAfexjH9vy+i9/+cs888wzfPzjH98yRTAzM8P09DQzMzPXe4jXhd06NnuT93RhcRGZ3XysbyznmWlkMb302FLD5/7JpW1VxUVa8J0LZdqBwlaae/dUyVxCGRrgxx+f4tXT8/2+msG3zwIDnfmFyz9xjzcfE7x61qbeTgY7UdbsKzZ430Mep2clGTvigQNd5ma3tmm4EZ+lMQYTR4mMkWVtMLvb7tjq3UH79VgbgigxLFxNyxnm5mb7twmDYKBJVmvN/NwstnP1zWS79fsPwxnb9Q541xKArtccfL0Zegruueee44tf/CL/6l/9K1z3GjspUzal9EP/O93Tr0FtOTkg2H8EsffQJW9f951+8IGk4z+Ik/6Qy/HChTKzjdWy42fPV3jboYXeZLixt8exBSPZ6yf7v2/c8JPvCXnqJUnGhe+7P8a1Iee2OVC+bk9zXTBBG9NLgZlQINzcQPHDdrGkIdSwEoQEBteSCOGgdfKey3VdpUmD7ODjiG32DKUMh50SQhjmHDz0APSbv/mbRFHEJz/5SQCOHz/Oz/zMzwx5VLcWzoGjiJ/4OXjhKciXEA8+tuVks5mtgdrCeXUt7WDwXMmPJXEYIcMWYDBCIDIbra2vJ3sqhvc/trvLiY2OMdGawGsMJuhCJn/pO12CjJ3oAK4oomds3VP6FqhLpBmlUkit+ioNUkrUFsEvijVBlHwHbCWwrTRY3Wh2Sox0mHPw0APQr/3arw17CLcFcnQC3rE9ReVDI3VeXhihGylsqdmTb29p/b0We93tLKmRYXO1jduA6bYQmUv7+tw+rH9Pr26CEQLyrrmi+wshsB23fwa0VdoljjXdwPQfPdlV6avSG0y5enaqD2iYc/DQA1DK7iPvxDywZ5F2aOGoGG8bqbcV7p2q8uz5EYJIoZTmzollNkyMO6kpEkdJE2scIzDo3AhcxsZhKAiZNNKuyYMJ6xqdT3WMDDpo29t2A+p28v2hHvwEDYl9gzWcIsrbllSMNOW2wZLmqhous07MY4cWCLXo7YYMpp0oCPTZwfSb6NYQ8Wpqy547RTR6AON4O/acV4MQAunlMUEHYzTCcpDXEIBUa5ncG99CRj5G2bT33k04cn2cVDcTJU3biW48t6IYabqHTrnuCJGY5yXCzwK8fLLaFxKUjfCu/JxjWxiDiAfPfoxSZE8+fdUPqQ0EsdyRA2AhBNLNorz8NQUfgOy5F7D8JjIOUUGbzMxL161z0VZiwJZBSa5/WX7KZTHabPvfzUK6A0rZcaSyIHsDLKXFup0WIOKovyMyBmKd3ExexhUBoB0q5tsZop7Q6Fi2Q87encUN6wOv0FGS6hTXnidL/KZWg7AU20vdpVxfbqbAsl3SAJRyc2AMwm8idIixMxh7c4Vp7RZQ9VkQEhGHeOdfJpg6jjHQ9JMABGAryDpbB6HFjkeokwk81MnlnH2F9hQ3iDhTQHXr/W4g7WQvK9Z6JQghuEzfbsoOcyOUEG40aQBKuSlQ7SVE2En0qMMOsVfqC4cO4GYxuVEyp59FxjHhnmP403fSCVaDD0AYJwfp9ha/AG0GZ1ytd+8M3Dr4IEYqVLeJtlzaB9807CGlXGduxTOgNACl3FCMSczurqS3CB0j1rihCmOQQZt4swAE6GyR1l3fP/i3TZ7qcutJW+n+Dmjl8q5FKtoHHxz2KFJ2kLQKLiXlGtAGTtcK+JGFEIaS67M9sZJr33k4Vk/ftHdZiiQNtxV7cm3m2hmiWGJJzUSus/UdUlJ2kPQMKCXlGrjYzNIOe9VeBpa7HvX2Ng71pURbHjJsJyk4IdHOlRlmOb1vetCr0PbszcuLB55WwJ5tBJ0g0FyYCykVFeVi+pNK2RnSFFxKyjUQ6cGqf20kHf8SN16Hzo5gAg+hQ7SdgasoW3as1UB0vbgwG/Ar/+ECC0sh2Yzk7767zN/7gY2W3ykp14rRuzgFfJWkfUApN4y8EyLXnLzYMqac3+ZXUAiMm0VnSlcVfHaK3/y9ec5dCOj6hqVqzP/4qxqt7ezqUlKuEK3Ntv/dLKQ7oJQbRiXjE2tBI3AQwjCRbePa1+Y/M2wCf3BV6vuaVluTyyowBtWpInRI7BYuWTqekrId0hRcSso1Mp7rMp7rDnsY143jRzxefaPLSh/o+KjN6IgFxmA3LiJ7peMyaBPlxtCXqNxLSbkcaRFCSkrKAD/5o2NYluDVU12ynuSnf3ICpQQiDpFrSsel0ahuPQ1AKVdNGoBSUlIGkFLwoR8Z2/Q6w/UoIE9JSYjjW+9sMQ1AKSk7gJFWIhkUtBCAFoooUx72sFJuYtIdUEpKyvYQgjA/gezp12knh7FSy/mUqyctQkhJSdk+QqC91Pk15fqgb8E+oDQApaRswhtzMa/Nj2AQlFyfvYXWbWPCdnIxx0LLQwrDifE6RS+6/J1Sdpw0BZeSchvQCixOzhuCKLHyDiKJq+Jbqnz8UpxeznJysUBskgbh52cUjxxcwFG33uR3s2F20sp+SKRKCCkp62gGdl8zDkAjaQS7R31hJ1lsuf3gA9AOLWqd2+O173ZSR9SUlNuArB1iq8QzCEBgyNrhcAd1g1hvOWFJQ2aXusDebtxMgWW7pAEoJWUdBTfi8KTg9GyIAQpOyORtYsVw10SdVmDTDhRSwFSxTd5Nz4B2A/oWTMGlASglZRPumFLk9SywtW33rYalDI8cWKATKpQ0uNatN+ndrKQ7oJSU24jbKfCsRQjIOmnabbdxK9oxpAEoJSUl5SZAp1I8KSkpKSnD4Gby+dkuQw9Av/d7v8fTTz+NEIJSqcRHPvIRKpXUUTIlJSVlLWkKbgd4//vfzwc/+EEA/vRP/5Q//MM/5Gd+5meGPKqUlJSU3UVahLADZLOrjpi+7yNu15PflJSUlC24FZUQhh6AAH73d3+Xr371q2SzWT7xiU8MezgpKSkpu45bcQckzA3Q+P7kJz9JtVrd8PcPfvCDPPTQQ/3LX/jCFwjDkA984AM7PaSUlJSUlCFzQwLQdpmfn+dTn/oUn/70p4c9lJSUlJSUHWboYqQXLlzo///TTz/N9PT0EEeTkpKSknKjGPoZ0O/8zu9w4cIFhBCMjY2lFXApKSkptwm7KgV3pfzRH/0Rn/vc5/iN3/gNisXisIcD7N6+ps9+9rM888wzWJbF5OQkH/nIR8jlcsMeFk8++SR/8Ad/wPnz5/mlX/oljh49Ouwh8dxzz/Gf//N/RmvNu9/9bn7kR35k2EMC4N//+3/Pt771LUql0q5KUy8sLPCZz3yGarWKEIL3vOc9/NAP/dCwh0UQBHziE58giiLiOObRRx9Nz5d3G+YmZX5+3vzrf/2vzc/+7M+aWq027OH0abVa/f//kz/5E/Of/tN/GuJoVnnuuedMFEXGGGM++9nPms9+9rNDHlHC2bNnzfnz580nPvEJ89prrw17OCaOY/NzP/dz5uLFiyYMQ/MLv/AL5uzZs8MeljHGmO9+97vm9ddfN//0n/7TYQ9lgKWlJfP6668bY4xpt9vm53/+53fFe6a1Np1OxxhjTBiG5p//839uXn755SGPKmUtQz8Dulp++7d/m5/8yZ/cdX1Du7Wv6YEHHkApBcCJEydYWloa8ogS9u3bt6vO/V577TX27NnD5OQklmXx2GOP8c1vfnPYwwLg7rvvJp/PD3sYGxgZGeHIkSMAZDIZ9u7duyu+X0IIPM8DII5j4jjeNb/HlIShnwFdDU8//TSVSoVDhw4Neyibstv7mr70pS/x2GOPDXsYu5KlpSVGR0f7l0dHR3n11VeHOKKbi7m5OU6dOsWxY8eGPRQAtNZ89KMf5eLFi7zvfe/j+PHjwx5Syhp2bQDaqnfoC1/4Av/iX/yLGz+oHpfra/rQhz7Ehz70Ib7whS/wZ3/2Zzcs77ydfqvPf/7zKKV44oknbsiYtjuu3YLZ5Eg0XTVvj263y6c//Wn+4T/8hwOZgGEipeRXfuVXaLVa/Oqv/ipnzpzhwIEDwx5WSo9dG4A+9rGPbfr3M2fOMDc3xz/7Z/8MgMXFRT760Y/yy7/8y5TL5aGObT2PP/44n/rUp25YALrcuL785S/zzDPP8PGPf/yGTqrbfb92A6OjoywuLvYvLy4uMjIyMsQR3RxEUcSnP/1pnnjiCR555JFhD2cDuVyOu+++m+eeey4NQLuIm+4M6MCBA/zGb/wGn/nMZ/jMZz7D6Ogo/+bf/JsbFnwux27ta3ruuef44he/yEc/+lFc1x32cHYtR48e5cKFC8zNzRFFEd/4xjd461vfOuxh7WqMMfzH//gf2bt3Lz/8wz887OH0qdfrtFotIKmIe+GFF9i7d++QR5Wylpu6DBvgH//jf8wv//Iv75oy7F/91V/d0Ne0G8qw/8k/+SdEUdQ/xD5+/Piu6Ll66qmn+K3f+i3q9Tq5XI5Dhw7xi7/4i0Md07e+9S1++7d/G60173znO/nRH/3RoY5nhX/37/4dL774Io1Gg1KpxAc+8AHe9a53DXtYvPTSS3z84x/nwIED/Z31hz70Id785jcPdVynT5/mM5/5DFprjDG87W1v48d+7MeGOqaUQW76AJSSkpKScnNy06XgUlJSUlJuDdIAlJKSkpIyFNIAlJKSkpIyFNIAlJKSkpIyFNIAlJKSkpIyFNIAlJKSkpIyFNIAlHJb8y//5b/kp37qpwjDcNhDSUm57UgDUMpty9zcHN/73veARLUiJSXlxpIGoJTblq9+9aucOHGCd7zjHXzlK18Z9nBSUm470gCUctvyla98hccff5wnnniC559/flPF7pSUlJ0jDUAptyUvvfQSCwsLvO1tb+PIkSNMTk7y13/918MeVkrKbUUagFJuS7785S9z//3390VsH3/88TQNl5Jyg9m1fkApKTtFEAQ8+eSTaK35R//oHwGJn02r1eKNN97YtU67KSm3GmkASrnteOqpp5BS8ulPfxrLWv0J/Nt/+2/56le/mgaglJQbRJqCS7nt+MpXvsI73/lOxsbGKJfL/X/ve9/7+NrXvkYcx8MeYkrKbUHqB5SSkpKSMhTSHVBKSkpKylBIA1BKSkpKylBIA1BKSkpKylBIA1BKSkpKylBIA1BKSkpKylBIA1BKSkpKylBIA1BKSkpKylBIA1BKSkpKylBIA1BKSkpKylD4/wGrkLIHgyaHWwAAAABJRU5ErkJggg==\n" + }, + "metadata": {} + } + ], + "source": [ + "df1.plot.scatter(x='A',y='B',c='C',cmap='coolwarm')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Ou utiliser s pour indiquer la taille basée sur une autre colonne. Le paramètre s doit être un tableau, pas seulement le nom d'une colonne :" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "" + ] + }, + "metadata": {}, + "execution_count": 18 + }, + { + "output_type": "display_data", + "data": { + "text/plain": "
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\n" + }, + "metadata": {} + } + ], + "source": [ + "df1.plot.scatter(x='A',y='B',s=df1['C']*100)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Boîtes à moustache" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "" + ] + }, + "metadata": {}, + "execution_count": 19 + }, + { + "output_type": "display_data", + "data": { + "text/plain": "
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+ }, + "metadata": {} + } + ], + "source": [ + "df2.plot.box() # Peut aussi passer un argument by= pour groupby" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Tracé de pastilles hexagonales\n", + "\n", + "Utile pour les données bivariées, alternative au nuage de points:" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "" + ] + }, + "metadata": {}, + "execution_count": 20 + }, + { + "output_type": "display_data", + "data": { + "text/plain": "
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\n" + }, + "metadata": {} + } + ], + "source": [ + "df = pd.DataFrame(np.random.randn(1000, 2), columns=['a', 'b'])\n", + "df.plot.hexbin(x='a',y='b',gridsize=25,cmap='Oranges')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "____" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Diagramme d'estimation de la densité du noyau (KDE)" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "" + ] + }, + "metadata": {}, + "execution_count": 21 + }, + { + "output_type": "display_data", + "data": { + "text/plain": "
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+ }, + "metadata": {} + } + ], + "source": [ + "df2.plot.density()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "C'est fini ! J'espère que vous comprendrez pourquoi cette méthode de traçage sera beaucoup plus facile à utiliser que la méthode matplotlib, elle équilibre la facilité d'utilisation avec le contrôle de la figure. Beaucoup d'appels de tracé acceptent également des arguments supplémentaires de sa maman matplotlib pyplot. \n", + "\n", + "\n", + "# Bon travail!" + ] + } + ], + "metadata": { + "kernelspec": { + "name": "python3", + "display_name": "Python 3.7.9 64-bit ('pyfinance': conda)", + "metadata": { + "interpreter": { + "hash": "e89404a230d8800c54ad520c7b67d1bd9bb833a07b37dd3e521a178a3dc34904" + } + } + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.7.9-final" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} \ No newline at end of file diff --git a/04-Visualisation-Matplotlib-Pandas/04-02-Pandas Visualisation/Pandas Visualisation Exercices - Solutions.ipynb b/04-Visualisation-Matplotlib-Pandas/04-02-Pandas Visualisation/Pandas Visualisation Exercices - Solutions.ipynb new file mode 100644 index 0000000..7b41c24 --- /dev/null +++ b/04-Visualisation-Matplotlib-Pandas/04-02-Pandas Visualisation/Pandas Visualisation Exercices - Solutions.ipynb @@ -0,0 +1,475 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Exercices Visualisation Pandas - Solutions\n", + "\n", + "C'est un exercice rapide pour vous permettre de passer en revue les différentes graphiques que nous avons montrées plus tôt. Utilisez **df3** pour reproduire les tracés suivants. " + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import pandas as pd\n", + "import matplotlib.pyplot as plt\n", + "df3 = pd.read_csv('df3')\n", + "%matplotlib inline" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "RangeIndex: 500 entries, 0 to 499\n", + "Data columns (total 4 columns):\n", + "a 500 non-null float64\n", + "b 500 non-null float64\n", + "c 500 non-null float64\n", + "d 500 non-null float64\n", + "dtypes: float64(4)\n", + "memory usage: 15.8 KB\n" + ] + } + ], + "source": [ + "df3.info()" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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" + ], + "text/plain": [ + " a b c d\n", + "0 0.336272 0.325011 0.001020 0.401402\n", + "1 0.980265 0.831835 0.772288 0.076485\n", + "2 0.480387 0.686839 0.000575 0.746758\n", + "3 0.502106 0.305142 0.768608 0.654685\n", + "4 0.856602 0.171448 0.157971 0.321231" + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df3.head()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Recréez ce nuage de points de b en fonction de a. Notez la couleur et la taille des points. Notez également la taille des chiffres. Voyez si vous pouvez trouver un moyen de l'étirer de la même façon. Si besoin revoyez le notebook Matplotlib...**" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 6, + "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": [ + "df3.plot.scatter(x='a',y='b',figsize=(12,3),s=50,c='red')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Créer un histogramme de la colonne 'a'.**" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "df3['a'].plot.hist()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Ces graphiques sont biens, mais les finitions ne sont pas extras. Utilisez les feuilles de style pour définir le style sur 'ggplot' et refaire le même histogramme qu'au-dessus. Trouvez aussi comment y ajouter des bandes supplémentaires.**" + ] + }, + { + "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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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.style.use('ggplot')\n", + "df3['a'].plot.hist(bins=20,alpha=0.5)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Créer une boîte à moustache comparant les colonnes 'a' et 'b'.**" + ] + }, + { + "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "df3['d'].plot.density()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Déterminez comment augmenter la largeur de la ligne et faire en sorte que le style de ligne soit en pointillés. (Note: En général, on ne trace pas de kde)**" + ] + }, + { + "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": {}, + "output_type": "display_data" + } + ], + "source": [ + "df3['d'].plot.kde(lw=5,ls='--')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Créer un graphique de surface de toutes les colonnes pour les lignes seulement jusqu'à la 30ème.**" + ] + }, + { + "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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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "df3.loc[0:30].plot.area(alpha=0.4)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Défi Bonus !\n", + "Il est possible que cela vous semble compliqué, référez-vous aux solutions si vous n'arrivez pas à trouver !\n", + "**Remarquez comment la légende de notre figure précédente recouvrait une partie du diagramme. Savez-vous comment afficher la légende à l'extérieur du tracé comme indiqué ci-dessous?**\n", + "\n", + "**Essayez de faire une recherche sur Google pour trouver un bon lien sur stackoverflow à ce sujet. Si vous n'arrivez pas à en trouver, utilisez celui-ci comme indice. - [Lien Stackoverflow.](http://stackoverflow.com/questions/23556153/how-to-put-legend-outside-the-plot-with-pandas)**" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "image/png": 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "f = plt.figure()\n", + "df3.loc[0:30].plot.area(alpha=0.4)\n", + "plt.legend(loc='center left', bbox_to_anchor=(1, 0.5))\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Bon travail!" + ] + } + ], + "metadata": { + "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": "3.7.5" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} diff --git a/04-Visualisation-Matplotlib-Pandas/04-02-Pandas Visualisation/Pandas Visualisation Exercices.ipynb b/04-Visualisation-Matplotlib-Pandas/04-02-Pandas Visualisation/Pandas Visualisation Exercices.ipynb new file mode 100644 index 0000000..0833487 --- /dev/null +++ b/04-Visualisation-Matplotlib-Pandas/04-02-Pandas Visualisation/Pandas Visualisation Exercices.ipynb @@ -0,0 +1,626 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Exercices Visualisation Pandas\n", + "\n", + "C'est un exercice rapide pour vous permettre de passer en revue les différentes graphiques que nous avons montrées plus tôt. Utilisez **df3** pour reproduire les tracés suivants. " + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import pandas as pd\n", + "import matplotlib.pyplot as plt\n", + "df3 = pd.read_csv('df3')\n", + "%matplotlib inline" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "\nRangeIndex: 500 entries, 0 to 499\nData columns (total 4 columns):\n # Column Non-Null Count Dtype \n--- ------ -------------- ----- \n 0 a 500 non-null float64\n 1 b 500 non-null float64\n 2 c 500 non-null float64\n 3 d 500 non-null float64\ndtypes: float64(4)\nmemory usage: 15.8 KB\n" + ] + } + ], + "source": [ + "df3.info()" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " a b c d\n", + "0 0.336272 0.325011 0.001020 0.401402\n", + "1 0.980265 0.831835 0.772288 0.076485\n", + "2 0.480387 0.686839 0.000575 0.746758\n", + "3 0.502106 0.305142 0.768608 0.654685\n", + "4 0.856602 0.171448 0.157971 0.321231" + ], + "text/html": "
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" + }, + "metadata": {}, + "execution_count": 3 + } + ], + "source": [ + "df3.head()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Recréez ce nuage de points de b en fonction de a. Notez la couleur et la taille des points. Notez également la taille des chiffres. Voyez si vous pouvez trouver un moyen de l'étirer de la même façon. Si besoin revoyez le notebook Matplotlib...**" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "" + ] + }, + "metadata": {}, + "execution_count": 7 + }, + { + "output_type": "display_data", + "data": { + "text/plain": "
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\n" 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\n", 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\n" + }, + "metadata": {} + } + ], + "source": [ + "plt.style.use('ggplot')\n", + "df3['a'].plot.hist(bins=20, alpha=0.5)" + ] + }, + { + "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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y4IMPSlEIYbqhztfu3zsWxyOzUK6kNtdTfS/xXXB2zfW+EU43lMGOjb7B0+o/B0cUasjlkDsSdcVYVEwvk9+J6FYp6TJaqs2ZUhTa6lQ8t/143bp1DBgwgJ/97GccOnSIX/ziFwwdOpTevXu3Wq+4uJji4mIAZs+ejdvt7nAep9PZqe3MYNdsHcmlDYPD836GbjlF4qzncWZkBf5C6ZnwL5ODls1Mds0F1mU7PnAQJ8pX4YqPR/XoYZtcgbBrtu7OZUpRcLlc1NXV+e/X1dWRkNC6g3DZsmVMnjwZpRQpKSkkJSVx4MABcnJyWq1XUFBAQcEXk7DX1tZ2OI/b7e7Udmawa7aO5DJKlqI3l6PunkFDr1gI8vsJh8/MbFZlM+ITwfBSu3Ujqn+GbXIFwq7ZOpMrNTX1gstMaZ/Jzs6murqampoaPB4PK1euJD8/v9U6brebDRs2ANDQ0MCBAwdISmq7yUHYl248jv7by5CTi5ILysQ5/IVATku1LVOOFKKiopgyZQqzZs3CMAwmTpxIRkYGS5cuBaCwsJBbb72VBQsW8PDDDwNwxx130LevnF0SanTxO3D8KI5v/5uMQyTOl5wGgD64D9k77Mm08z3z8vLIy8tr9VhhYaH/dmJiIo899phZcUQQ6JON6H++DSNGozKzrY4jbEjF9IIEt5yWamNyeo/oNrrkfWg8geNfb7M6irCzlDQZQtvGpCiIbqG1Ri9/H3KGobIGWR1H2JhKSYOaAzI1p01JURDdY9sGqDmAGn+D1UmE3SWnQeMJOH7U6iSiDVIURLfQH70PvWNRV4y1OoqwOZV0+nTIQzK3gh1JURBdphuPo9d+ghpzrYxYKtqX7CsK+tABi4OItkhREF2my1eDx4MaNd7qKCIUuJIgyilHCjYlRUF0mV7zMST2g4FDrI4iQoCKioJ+KXKkYFNSFESX6BPHYXM5Kv8auVhNBC45FaQo2JIUBdElunwVeD2o/GusjiJCiEpOg5pqtGFYHUWcQ4qC6BK9vhQucUFWTvsrC3FGcn9oOQWH69pfV5hKioLoNO3xwJZy1JeukKYj0SHq9BhI0tlsP1IUROft3AonG1GXX2F1EhFq5LRU25KiIDpNb/wMoqJg2HCro4hQE58I0TFypGBDUhREp+kNa3zzJvTq3f7KQpxFKQXJqXKkYENSFESn6Ppa2F+F+pI0HYnOUclpcqRgQwEXhTVr1uD1eoOZRYQQvWUdAOqykRYnESErqT/U1aA9LVYnEWcJuCi89tpr3HPPPRQVFbFjx45gZhKhYNsGiO0LqQOsTiJCVXIaGAbUHrI6iThLwDOv/fa3v6WyspKSkhLmzp1LdHQ048ePZ9y4cTKXcgTS2zfC4MtRDmmBFJ2jklPR4LuyOSXd6jjitA5Nx5mVlUVWVhZ33nknGzZs4JVXXuH1119n6NChFBQUcPXVV+OQL4mwp2sPQV0NqnCy1VFEKPOflrpf5mu2kQ7P0Xzw4EFKSkooKSlBKcXtt9+O2+1myZIlrFq1ikceeSQYOYWN6G0bAVBDvmRxEhHKVJ84XxOknIFkKwEXhSVLllBSUsLBgwe56qqrmD59OoMHD/YvHz16NFOnTg1KSGEzZ/oT+mdYnUSEOjkt1XYCLgrl5eXcdNNNXHnllTid528WHR0tRwkRQvoTRHdRSanoLeVWxxBnCfi3Ojc3l6uuuuq8gvDuu+/6bw8fLle2hjtdV+PrTxh8udVRRDhIToWGenTTSauTiNMCLgpvvvlmhx4X4UlXbAFA5QyzOIkIByrl9MB4NdXWBhF+7TYfbdzo61T0er3+22ccOnSIXr16BSeZsKdd26BnNKRnWZ1EhIOzBsZTmQMtDiMggKLw/PPPA9DS0uK/Db6xSy655BKmTJkSvHTCdvTOrZA1yDelohBd1c9XFGS4C/totyjMnz8fgOeee47p06d3+oXKy8tZtGgRhmEwadIkJk+efN46mzZt4qWXXsLr9RIXF8fPf/7zTr+e6H76VDPs2y3XJ4huo6KjIdEtp6XaSMBnH3WlIBiGQVFREY899hgul4uZM2eSn59PevoXVzGeOHGChQsX8p//+Z+43W6OHDnS6dcTQVJZAV4vauBQq5OIcJKUipYjBdu4aFF48MEHmTdvHgD33XffBdc7u1mpLRUVFaSkpJCcnAzA2LFjKS0tbVUUPv74Y0aPHo3b7QYgPj4+sHcgTKN3bfXdGDjE2iAirKjkVHTpx1bHEKddtCjce++9/ts/+tGPOv0i9fX1uFwu/32Xy3XeoHrV1dV4PB6eeOIJTp48yY033siECRPOe67i4mKKi4sBmD17tr+IdITT6ezUdmawazan00nPfbvxpKThHmiv+Zjt/JnZMRfYK9uJgYM5vnwJiT172CrXueyarbtzXbQoDB36RTNBbm5up19Ea33eY+fO6ev1etm9ezePP/44p06d4rHHHmPQoEGkpqa2Wq+goICCggL//dra2g7ncbvdndrODHbN5nK5aN6yHpU7wnb57PqZ2TUX2CubjvW1CtRt2UC/0dfYJte57PSZna0zuc79Xj1bwNcpvPvuu1RWVgKwfft27rvvPqZPn8727dvb3dblclFXV+e/X1dXR0JCwnnrDB8+nJiYGPr27cuwYcOoqqoKNJ4IMqOmGo42gPQniO6W7LtWQR+UfgU7CLgovPfee/4hsl999VVuuukmbrnlFl566aV2t83Ozqa6upqamho8Hg8rV64kPz+/1Tr5+fls3boVr9dLc3MzFRUVpKWldezdiKA5dWYQvGzpTxDdzJXkm+v70D6rkwg6cPZRY2MjvXv35uTJk1RWVvL444/jcDh4+eWX2902KiqKKVOmMGvWLAzDYOLEiWRkZLB06VIACgsLSU9PZ8SIETzyyCM4HA6uu+46MjMzO//ORLdq2b7Jd9FaWpbVUUSYUU4n9EuRgfFsIuCi4HK52LZtG3v37mXYsGE4HA4aGxsDnj8hLy+PvLy8Vo8VFha2un/zzTdz8803BxpJmMizcytkZstFayI4ktNAmo9sIeCicOedd/K73/0Op9PJww8/DEBZWRk5OfY6E0V0P+310rJrO2pcYfsrC9EJKiUNvWktWuaBt1zARSEvL48XX3yx1WNjxoxhzJgx3R5K2MzBfXCqGQbIHwAiSJLTwNOC9/OD4Iy2Ok1E69DMa42NjRw4cICmpqZWj19+uQyjHM50VQUAKkuKgggOlZKOBrz798CAQVbHiWgBF4UPP/yQoqIiYmJi6Nmzp/9xpRTPPfdcUMIJm6isQMX08o9oKUS3Oz2EtueAFAWrBVwUXn31VR566CFGjhwZzDzChvSenfQYOBjDIZ3MIkhi+0LvPr4jBWGpgK9TMAxDZlaLQNrrhb276JEtF62J4FFKQXIanv1ywarVAi4KX/va13jzzTcxDCOYeYTdVO+FU6dwyiB4IshUShreA3KkYLWAm4/ee+89GhoaePvtt4mNjW21rL1RUkXo0lU7AeiRI0cKIsiS0zA+WYaj6aSvD0tYIuCi0JVRUkUIq6qA6F5EpWZCfb3VaUQYO3MGEocOwIBsq+NErICLQldGSRWhS1dVwICBqACvXBei01LODIy3DyVFwTIB/6a3tLTw6quvMn36dL73ve8BsG7dOpYsWRK0cMJa2uv1Tb+ZKdcnCBMk9QelZL5miwVcFP70pz+xd+9eZsyY4Z8L4exB7UQYOt3JLIfywgyqR0+ikvrLGEgWC7j5aPXq1Tz77LPExMT4i0JiYiL10s4ctuRKZmG2qNRMvHKkYKmAjxScTud5p6MePXqUuLi4bg8lbKKqAmJ6QZJcySzM4UzLhEMH2pytUZgj4KIwZswYnnvuOWpqagA4fPgwRUVFjB07NmjhhLV0ZQVkSiezME9UagY0N8HhuvZXFkER8G/7d77zHZKSknj44YdpbGxkxowZJCQk8M1vfjOY+YRFfJ3MlSgZGVWYKCptgO+GNCFZJuA+hYMHD5KWlsbXv/51DMNg1KhRMjNaOKveAy2nZLhsYSpnqu87RR/ajxomw+pYod2ioLXm+eefZ/ny5bhcLhISEqivr+eNN95g/Pjx3Hffff6OZxE+dOXpTmYpCsJEDlc/iI6RM5As1G5RKC4uZvPmzcyaNavVLGsVFRU888wz/OMf/zhvWk0RBqp2nu5k7m91EhFBfAPjpaKl+cgy7fYpfPTRR3z/+98/b9rNnJwc7r77bkpKSoIWTlhHV1X45mSWTmZhMiXzNVuq3d/4ffv2XXCIi9zcXPbt29ftoYS1tMcDe3fL9QnCGilpUFeDPtVsdZKI1G5RMAyDXr3aHrGwV69eMpR2OKreC54WyJQrmYUF+meC1r6B8YTp2u1T8Hq9bNy48YLLpSiEH/+VzNLJLCygUjPQgD6wB5VxqdVxIk67RSE+Pv6i8yX07du3WwMJG6iqgF69pZNZWCM5FRwOOLDX6iQRqd2iMH/+fDNyCBvRVTulk1lYRjl7QFIqulpmYbOCab/15eXl/PjHP+ZHP/oR//u//3vB9SoqKrj99tv59NNPzYomzuLvZJamI2Gl1Aw5UrCIKUXBMAyKior46U9/yrx581ixYkWbZy0ZhsGf//xnRowYYUYs0ZYDe3ydzDJctrCQSs2Emmp0S4vVUSKOKUWhoqKClJQUkpOTcTqdjB07ltLS0vPW+/vf/87o0aOln8JCMly2sIX+GaANGQPJAqYUhfr6elwul/++y+U6bx6G+vp6Vq9eLVdHW62qAnr1gX7SySyso1IzAN8ZSMJcAQ+I1xVtjY1+7nhJL730EnfccQeOdjo3i4uLKS4uBmD27Nm43e4O53E6nZ3azgxWZ6vbX4kjZygJ/fq1etzqXBdj12x2zQX2zXYml47vS43DQe+GOmJtktPun1m3PV+3PdNFuFwu6uq+GB+9rq6OhISEVuvs3LmTZ555BvBN3rN27VocDgejRo1qtV5BQQEFBQX++7W1tR3O43a7O7WdGazMpj0tGJUVqEk3n5dBPrOOs2susG+2Vrn69efEzm002SRnSHxmAUpNvfDEWaYUhezsbKqrq6mpqSExMZGVK1cyY8aMVuucferr/PnzueKKK84rCCLI9u8Bj0eGyxb2kJrhO/FBmMqUohAVFcWUKVOYNWsWhmEwceJEMjIyWLp0KYD0I9iErtoBSCezsAfVPxO9bjXa0+K7dkGYwpSiAJCXl0deXl6rxy5UDH74wx+aEUmcq2on9I4Fd7LVSYTwHSkYhm8MpDMzsomgk0tWhZ+urIAB2TJpkrAFdWYWNrmIzVRSFASA7yKh/VVyJbOwj5Q0UA44UGV1kogiRUH47K8Er0f6E4RtqB49ISUNvXe31VEiihQFAXwxJ7PMoSDsRKVnwb5Kq2NEFCkKwmfPTugTJ53Mwl4yLvXNwtZ43OokEUOKggBAV+6AATnSySxsRaWfnmRHjhZMI0VBoFtOwYE9KBkZVdhNRhYAem+lpTEiiRQFAXt2gdeLyhpkdRIhWotPhNi+sE86m80iRUGgd2/z3Rg42NogQpxDKQUZl8oZSCaSoiBg13ZI7Ie6xNX+ukKYTKVnwYE9aK/X6igRQYqCQO/ahho4xOoYQrQt/VJoOQU1B6xOEhGkKEQ4feQw1NXApdJ0JOxJZfjOQJImJHNIUYh0p/sT5EhB2Fb/dIhySmezSaQoRDi9a5vvFy5zoNVRhGiTcvaA1Ax01U6ro0QEKQoRTu/aDhmXonpGWx1FiAtSWYOgsqLNqX1F95KiEMG04YXKHdJ0JOwvaxA0HofPD1qdJOxJUYhkB/ZAc5N0MgvbOzN6r67cYXGS8CdFIYLpXdLJLEJE6gBw9oCqCquThD0pCpGsYgvExUO/FKuTCHFRyun0XdksRwpBJ0Uhguntm2DQZTIyqggJKmsQVO3y9YWJoJGiEKF0/edQV4MafJnVUYQITFYONJ+Eg/utThLWpChEKL1jMwBqUK7FSYQIzJlRfKUJKbikKESq7ZugV29Iz7I6iRCBSUmHXn1g51ark4Q1KQoRSu/YBDm5KEeU1VGECIhyOCB7KLpii9VRwpoUhQikjzZA9V7UIOlPEKFF5QzzDaN94pjVUcKWFIVIVCH9CSI0qZzT+6w0IQWN06wXKi8vZ9GiRRiGwaRJk5g8eXKr5SUlJSxevBiAmJgYpk6dSlZWllnxIoresRl69PSdzSFEKMkaBFFR6IotqC9faXWasGTKkYJhGBQVFfHTn/6UefPmsWLFCvbt29dqnaSkJJ544gnmzJnDrbfeyh/+8AczokUkvWUd5AzzjT4pRAhR0dGQmY0+fbQrup8pRaGiooKUlBSSk5NxOp2MHTuW0tLSVusMGTKE2NhYAAYNGkRdXZ0Z0SKObqiH/VWo3BFWRxGiU1TOMN+IqS0tVkcJS6Y0H9XX1+NyfTH/r8vlYseOC59r/MEHHzBy5Mg2lxUXF1NcXAzA7NmzcbvdHc7jdDo7tZ0Zgp3t5MZSjgIJY6+lRwdeJ5I/s86yay6wb7ZAcjXljeHIPxYTf6SWnkO/ZFKy0P7MOvR83fZMF9HWGOgXGlph48aNLFu2jCeffLLN5QUFBRQUFPjv19bWdjiP2+3u1HZmCHY2Y1UJxMXTEJuA6sDrRPJn1ll2zQX2zRZILp2SAUrR8MlyHO7+JiUL7c/sXKmpqRdcZkrzkcvlatUcVFdXR0JCwnnrVVVV8eKLL/Loo48SFxdnRrSIorVGby5HDRvuO+dbiBCkYvv6+hW2lFsdJSyZ8s2QnZ1NdXU1NTU1eDweVq5cSX5+fqt1amtrmTNnDtOnT79oFRNdsL8SjjZAbttNc0KECpU7HHZtQzc1Wh0l7JjSfBQVFcWUKVOYNWsWhmEwceJEMjIyWLp0KQCFhYW88cYbHD9+nIULF/q3mT17thnxIobeVA6AGjbc2iBCdJEaNgL99zdh2yYYLqemdifTrlPIy8sjLy+v1WOFhYX+29OmTWPatGlmxYlIet0qSL8UlWi/zjIhOiRnGPToid5SjpKi0K2kYTlC6GNHoWIrasRoq6MI0WWqR08YdBl6c7nVUcKOFIUIodeXgjakKIiwoS4bAdV70XWfWx0lrEhRiBC6fBUkuiFzoNVRhOgWZ4a50OtWWZwkvEhRiAC6uRk2l6GGj5KpN0XYUCnpkJLu+4NHdBspCpFg81o4dUqajkTYUSNHw/aN6BPHrY4SNqQoRAC9ajnExcOQL1sdRYhupYaPBq8XvWGN1VHChhSFMKdPNqLXl6Lyr0FFySxrIsxcOhjiE9GfrbQ6SdiQohDm9NpPoOUUavQEq6MI0e2Uw4G6chxsWCOzsXUTKQphTn/6IfRLgYFDrI4iRFCoq64Frwe9ZoXVUcKCFIUwpmuqYcs61JiJctaRCF8ZA6F/BvrTZVYnCQtSFMKY/uh9cDhQ4wrbX1mIEKWUQo25Fiq2oA8dsDpOyJOiEKZ0Swt6RTEMH4VKcLW/gRAhTI2d5Ju7+cP/szpKyJOiEKZ0aQkcP4rj2n+xOooQQacuSURdcTV6xT/RTSetjhPSpCiEIW0Y6CVvQtoAGCrDZIvIoCb+K5w84Tu5QnSaFIVwVP4pVO9F3fhNmWFNRI7soTAgB730LbTHY3WakCXfGGFGGwbGe69DUn9U/tVWxxHCNEopHF/9Fnx+UM5E6gIpCmFGr1oOe3ahvvotlEOuYBYR5stX+o4W3n0N7WmxOk1IkqIQRnRzE/pvL0PWINQouYJZRB6lFI7Jd0BdDfqf71gdJyRJUQgj+p1XoaEOx+0/kL4EEbHU5VfA8FHod/6CrpcJeDpKvjnChN6xGb30f1Hjv4LKybU6jhCWcnzr30AbGP/9PFprq+OEFCkKYUAfP4rxx3ngSkJ98/tWxxHCcsqdjLrle76B8orftjpOSJGiEOK0pwXjhV/7mo2mPoyK6W11JCFsQV13E4wYg37zT+htG6yOEzKkKIQw7fGgi+bBtg2ou36Eyh5qdSQhbEMphePuGZDUH+O5X6KrKqyOFBKkKIQo3XQS44XZ6DUfo77xfRxXTbQ6khC2o/rE4njwSegThzH3cfSWdVZHsj0pCiFI792N8dQjsH4N6jv34vjK162OJIRtqQQXjkd/BQkujGeewPi/v6K9Xqtj2ZbT6gAicPpwHfr9v6GXvQd94nA8+HPUMBnbSIj2KFc/HP/xa/TLz6HfegX92Qock++Ey6+QuUbOYVpRKC8vZ9GiRRiGwaRJk5g8eXKr5VprFi1axNq1a4mOjub+++9n4MCBZsWzLd3cDJvK0J+t8M1DaxiocYWoW76L6hNndTwhQobq3Qfu/XdYswL9tz9hPPskpA1AjZ2EGjEa+qVIgcCkomAYBkVFRTz22GO4XC5mzpxJfn4+6enp/nXWrl3LwYMHefbZZ9mxYwcLFy7kqaeeMiOeZbTW0HIKmk76/p04TtOODRiVu+DQfnRlBeyrBK8H+sShJtyAKrgZ1S/F6uhChCSlFOrKa9AjR6M/WYYuWYr+6x/Rf/0jJPbzjQaQmgHJqai+CdD3Et+/6F5ow7A6vilMKQoVFRWkpKSQnJwMwNixYyktLW1VFNasWcP48eNRSjF48GBOnDjB4cOHSUhI6PY8zWWf4v2v352+p0EDWvtuc+b26f+ffeHLmXX0WeucuY+++Prn3ddwqhnOads8cuZGrz4wIBt1/ddQuSNg0GUop7T2CdEdlLOHb0bCcYXoQwfQW8rRW9fD3kr02k9BG5x7yVsNgNMJPaKhRw9wOEA5QHH6/+qLfyhwnP5/kI4+1DXX4yic3O3Pa8q3TH19PS7XF7N/uVwuduzYcd46bre71Tr19fXnFYXi4mKKi4sBmD17dqttAuVtqCF64OAvfljK9x+lzvkBnv0DPmddzlpXdWDdVq8VHYOjV29Ur96omN6oPrH0TEmDxH6o2DhbHco6nc5OfdZmsGs2u+YC+2azJJfbDZd92X9Xn2rGW1ON0XAY40g9xpEGdPNJlKcF78mT6FPNviN8w/Ad7Wvj9B+KBpw+mvAdVWgwgnc1dXRaBr3c7m7/zEwpCm1dZn7uF14g6wAUFBRQUFDgv19bW9vhPO6cXDzff6DD25nB7Xb73lNzndVRWvHnsiG7ZrNrLrBvNtvkiomFlFhIyfA/ZJtsp3mAE7W1ncqVmpp6wWWmnJLqcrmoq/viS66uru68IwCXy9XqjbW1jhBCiOAypShkZ2dTXV1NTU0NHo+HlStXkp+f32qd/Px8PvroI7TWbN++nd69e0tREEIIk5nSfBQVFcWUKVOYNWsWhmEwceJEMjIyWLp0KQCFhYWMHDmSsrIyZsyYQc+ePbn//vvNiCaEEOIspp3OkpeXR15eXqvHCgsL/beVUkydOtWsOEIIIdogw1wIIYTwk6IghBDCT4qCEEIIPykKQggh/JSWCUyFEEKcFpFHCj/5yU+sjnBBds1m11xg32x2zQX2zWbXXGDfbN2dKyKLghBCiLZJURBCCOEXkUXh7AH17Mau2eyaC+ybza65wL7Z7JoL7Jutu3NJR7MQQgi/iDxSEEII0bawncrr+PHjzJs3j88//5x+/frx4IMPEhsbe956P/zhD4mJicHhcBAVFcXs2bM7tH0wctXW1jJ//nwaGhpQSlFQUMCNN94IwOuvv84///lP+vbtC8C3v/3t88aU6qiuzJ/d3rbBzFVSUsLixYsBiImJYerUqWRlZQEX/rmalW3Tpk385je/ISkpCYDRo0fzjW98I6Btg5nr7bffpqSkBPBNk7tv3z6KioqIjY0N6me2YMECysrKiI+PZ+7cuectt2ofCySbVftZe7mCto/pMPXKK6/ot956S2ut9VtvvaVfeeWVNte7//779ZEjRzq9fTBy1dfX6507d2qttW5sbNQzZszQe/fu1Vpr/dprr+nFixd3SxattfZ6vXr69On64MGDuqWlRT/yyCP+1zrjs88+07NmzdKGYeht27bpmTNnBrxtMHNt3bpVHzt2TGutdVlZmT+X1hf+uZqVbePGjfpXv/pVp7YNZq6zlZaW6ieeeMJ/P5if2aZNm/TOnTv1Qw891OZyK/axQLNZtZ+1lytY+1jYNh+VlpYyYcIEACZMmEBpaamp23fleRMSEvx/JfXq1Yu0tDTq6+u75fXPdfb82U6n0z9/9tkuNH92INsGM9eQIUP8R1mDBg1qNZFTMHXlfVv9mZ1txYoVXH311d3y2u3Jzc296JG2FftYoNms2s/ay3UhXf3Mwrb56MiRI/5JehISEjh69OgF1501axYA119/vb8nvyPbBysXQE1NDbt37yYnJ8f/2Pvvv89HH33EwIEDueuuu7rUrNWV+bMD2TaYuc72wQcfMHLkyFaPtfVzNTPb9u3befTRR0lISOC73/0uGRkZtvnMmpubKS8v5wc/+EGrx4P1mbXHin2sM8zczwIRjH0spIvCL37xCxoaGs57/Fvf+laHniMxMZEjR47wy1/+ktTUVHJzcy3PBdDU1MTcuXO5++676d27N+Cbg+JMu+Frr73Gyy+/3KUJiXQX5s8OZNtg5jpj48aNLFu2jCeffNL/WDB+rh3Jdumll7JgwQJiYmIoKyvjt7/9Lc8++6xtPrPPPvus1V/AENzPrD1W7GMdZfZ+1p5g7WMhXRQef/zxCy6Lj4/n8OHDJCQkcPjwYX/H7LkSExP961955ZVUVFSQm5sb8PbByuXxeJg7dy7jxo1j9OjR/scvueQS/+1Jkybx61//OuBcbenK/Nkej6fdbYOZC6CqqooXX3yRmTNnEhcX53/8Qj9Xs7KdKeLgm2CqqKiIo0ePBvy+gpXrjBUrVnDNNde0eiyYn1l7rNjHOsKK/aw9wdrHwrZPIT8/n+XLlwOwfPlyrrzyyvPWaWpq4uTJk/7b69evJzMzM+Dtg5VLa80LL7xAWloaN910U6tlhw8f9t9evXo1GRkZXcrTlfmzA9k2mLlqa2uZM2cO06dPJzU11f/4xX6uZmVraGjw/8VWUVGBYRjExcVZ/pkBNDY2snnz5lbLgv2ZtceKfSxQVu1n7QnWPha2F68dO3aMefPmUVtbi9vt5qGHHiI2Npb6+np/xT906BBz5swBwOv1cs0113DLLbdcdHszcm3dupWf/exnZGZm+g/7zpx6+vvf/57KykqUUvTr14977rmny385lZWV8ac//ck/f/Ytt9zSav5srTVFRUWsW7fOP392dnb2BbftLu3leuGFF1i1apW/LfrMKYEX+7malW3JkiUsXbqUqKgoevbsyV133cWQIUMuuK1ZuQA+/PBDysvLeeCBB/zbBfsze/rpp9m8eTPHjh0jPj6e2267DY/H489l1T4WSDar9rP2cgVrHwvboiCEEKLjwrb5SAghRMdJURBCCOEnRUEIIYSfFAUhhBB+UhSEEEL4SVEQQgjhJ0VBCCGEnxQFIYQQfv8fg/UqpWybtUoAAAAASUVORK5CYII=\n" + }, + "metadata": {} + } + ], + "source": [ + "df3['d'].plot.kde()" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 14, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n" + }, + "metadata": {} + } + ], + "source": [ + "df3['d'].plot.kde(lw=5, ls='--')" + ] + }, + { + "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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OFoOjAnXjbahrbwx0NNGEKUXB4XBgs52/u9Rms7Fvn3tXwE033cSvf/1rVq9ezZkzZ5g/f74Z0UQn0/u/QL/5sveN6WOxTLkG4uLRFeWwbw9651Y46QBAZUxs8bXV5K+i//lXiO6J5Yf3olJHdHZ84Sf6UAH6o3+5N8q05kHJlKLgberipjNXbty4kauuuopvfetb7N27l2effZbFixdjsbhfNZuTk0NOTg4A2dnZ2O32NucJCwtr1/PMEKzZfMmlGxtwvLYMo+kNZUDMrXOInv79Jt/376INg4aCz6nbvJ6Yr3wNFdnyna718xcTNmCI2x2xXfmYBYrZ2c4Mv5gTTTNUlJHQJIMcs7br7FymFAWbzUZlZaXrcWVlpUf30Jo1a/j5z38OQFpaGvX19VRVVREXF+e2X1ZWFllZWa7HFe3oS7bb7e16nhmCNZsvuYyP3kEf2u/RrrKup/bKb1B7wc+Am4RE+MYMzlRVQVVVy0F694FTVcD5/bryMQsUs7Pp6FiPtvqiQo4dO+b2QUGOWdu1J1dycnKz20y5eS01NZXS0lLKy8tpaGhg06ZNZGZmuu1jt9vZvXs3AMXFxdTX19Orl+eliSI46TN16Hf+5rlhQCrqxtvMDySCi60PhEe4t9VUQ1XT8wcRaKacKVitVmbNmsXChQsxDIOpU6eSkpLCypUrSU1NJTMzkx/84AcsW7aMd999F4C5c+fK4ihdSWMDauJU9Mfvw9mzrmbL9+bIDWUCZbFCYjIUF7pvKD0CveSikmBi2m9rRkaGxyWmM2fOdH3dv39/nnjiCbPiiE6momNQM29Hf/1G9Idvo9e+hxp7KWrI8EBHE0FCXZSCblIU9NFi1HDvlyGLwJCPcKJTqV69UTfehr52unM6CyHOSern2SZXIAUdKQrCL1RPz4FF0c0lehYFXVYSgCCiJTJLqhDCFMrbmYIUhaAjRUEIYY6+Xi6DrDiKbmgwP4tolhQFIYQpVI9o6NXbvdEwoKIsMIGEV1IURLvJJzzRZolezhakCymoSFEQ7abffJnGX92L8e7fZcBQ+ER5HWw+EoAkojly9ZFoF601+r8bwVGBLj6IfutVGDDEOVFdiqyRLJohZwpBT84URPscKgBHk/lWigsh3uZ1dyFAzhS6AikKol307v96No4Y7XUpTSFcvJ0plJean0M0S4qCaBe9y7MoqNGXBiCJ6FL6JEHTOc2OV6DP1AUmj/AgYwqizXTVKTi416NdXSLLp4qWqfAIGDkWIiOdXUmJyc7/W+VPUbCQ74RoM523A5ounNQ3GeXt5iQhmrDe/6tARxAtkO4j0XZexhPUJeMDEEQI0dmkKIg20YaB3rPDo12NkqIgRCjwuShs27aNxsZGf2YRXUHJYag66d4WEQEyJ74QIcHnorBy5UruuOMOli9fzr59+/yZSQQxnb/bs3FounMAUQjR5fk80Pz73/+ewsJCNmzYwOLFi4mMjGTKlCl85StfoW/fvv7MKIKIzv/Mo02lyVmCEKGiTVcfDRo0iEGDBnHrrbeya9cuXnnlFf7+978zYsQIsrKyuPzyy7FYZJgiVGnDgL17PNrV8EsCkEYI4Q9tviT16NGjbNiwgQ0bNqCUYubMmdjtdlavXs2WLVt46KGH/JFTBIOSQ3C6yr0tIhIGDQ1MHtFl6SOH0QfzoazEOc1FWQnqGzfBdTcGOlq353NRWL16NRs2bODo0aNMmjSJefPmkZaW5tp+2WWXMXv2bL+EFMHB+3jCSFRYuPlhRJemN32E/mCVe2NJUWDCCDc+F4Xc3Fy++c1vMmHCBMLCPJ8WGRkpZwkhTufv8miT8QTRLl5nS5WJ8YKBzwMA6enpTJo0yaMgvPPOO66vx4wZ03nJRFDRWsO+PI92GU8Q7eF9tlSZQjsY+FwU3njjjTa1i9DSePQIVJ9ybwyPkPEE0T5eZ0stcX74EAHVavfR7t3OfuTGxkbX1+eUlZXRo0cP/yQTQcWamIxlwbPo/V/AgS/Q+/MhppeMJ4j2iYuHyB5wpvZ829kzGI4KQDX7NOF/rRaF559/HoD6+nrX1wBKKXr37s2sWbP8l04EDWWxoPoNRPUbCFOuAUA31Ac4leiqlFLOs4XD+93aG0sOw0UDA5RKgA9FYenSpQAsWbKEefPmtfuNcnNzWbFiBYZhMG3aNG644QaPfTZt2sQ//vEPlFIMHDiQe++9t93vJ/xPzhJER6jEZHSTotBQUiRFIcB8vvqoIwXBMAyWL1/OY489hs1m49FHHyUzM5P+/fu79iktLeWtt97iiSeeICYmhpMnT7bwikKILs/LuEJjyWGQuRUDqsWicP/99/PUU08BcOeddza734XdSt4UFBSQlJREYmIiAJMnT2br1q1uReGjjz7immuuISYmBoC4uDjf/gVCiK7JS1FokHsVAq7FovCTn/zE9fXdd9/d7jdxOBzYbOcXdLfZbB6T6pWUOC9Hmz9/PoZhcNNNNzF27FiP18rJySEnJweA7Oxs7HZ7m/OEhYW163lmCNZswZoLgjdbsOaC4MhWn3YxjiZtRmlxwHM1JxiOmTednavFojBixAjX1+np6e1+E2+Xmakm67QahkFpaSm//OUvcTgc/M///A+LFy+mZ8+ebvtlZWWRlZXlelxRUdHmPHa7vV3PM0OwZgvWXBC82YI1FwRHNh0Z7dHWcLSYY2VlKKs1AIlaFgzHzJv25EpObn6VRJ/vU3jnnXcoLCwEYO/evdx5553MmzePvXs91+ptymazUVlZ6XpcWVlJfHy82z4JCQmuu6X79u1LcnIypaWlvsYTfqK1dq7JLEQnUz1jILZJN3FjI1SUBSaQANpQFN59913XFNmvvfYa3/zmN5k+fTovvfRSq89NTU2ltLSU8vJyGhoa2LRpE5mZmW77XHrppa77IE6dOkVpaalrDEIE0LFSjAdupWLuDIzlT2Gsew9dXBjoVCJUeLuJ7ahMdxFIPl99VFNTQ3R0NLW1tRQWFjJ//nwsFgt//vOfW32u1Wpl1qxZLFy4EMMwmDp1KikpKaxcuZLU1FQyMzMZM2YMO3fu5P7778disXDrrbcSGxvboX+c6Dh90Dn201haDKXFsHktemg61keyA5xMhAKV2A9d8Llbmy4rRjEhQImEz0XBZrORn59PUVERI0eOxGKxUFNT4/P6CRkZGWRkZLi1zZw50/W1UorbbruN2267zddIwgyFBR5Nakialx2FaIckzzmQkDmQAsrnonDrrbfy5JNPEhYWxoMPPgjA9u3bGTpU5r4JZfqwZ1FgQKr5QURIUkn9aHoZipbuo4DyuShkZGSwbNkyt7aJEycyceLETg8lgoM2DDh0wKNdDRpmfhgRmhL7e7bJFNoB1aaV12pqaigpKaGurs6tfdQomVM/JJWVuE9YBtAjGvokBSaPCD19EsEa5pwgL6kfPQYNpa5XAlprj8vWhTl8Lgrr1q1j+fLlREVFERER4WpXSrFkyRK/hBOBpQ957zpSsg636CQqLBzLs39DhTv/pvSy2zkbhPcCdCc+F4XXXnuNBx54gHHjxvkzjwgmXoqCGihjSKJznSsIIjj4/JHPMAxZWa2b8XqmMFAGmYUIZT4Xheuvv5433ngDwzD8mUcECW00wuGDHu1KVloTIqT53H307rvvcuLECf75z3+6ZjI9p7VZUkUX5HWQuSf0uSgweYQQpvC5KHRkllTR9TTXdSRXhAgR2nwuCh2ZJVV0QYf2ezQpGU8QIuT5XBTq6+t5/fXX2bhxI1VVVbz88svs3LmT0tJSrr32Wn9mFAGgvUxvgVx5JPxEnzkD5SXU5e/E2Pc5lJWgpl6HGjI80NG6HZ8Hml9++WWKioq45557XF0IKSkpfPDBB34LJwJDG41Q5OVOZikKwk/0K0swHr+Xk4vmo9/+K3rzOnThvtafKDqdz2cK//nPf3jmmWeIiopyFYWEhAQcjqZrJ4kur6wEzrjfta56xsqdzMJ/vE2MJ3MgBYTPZwphYWEel6OeOnVKprcOQd66jsJTh8sgs/AfL3MgaZkDKSB8LgoTJ05kyZIllJeXA3D8+HGWL1/O5MmT/RZOBIiXK4/CUqVvV/iPkjOFoOFzUbjlllvo27cvDz74IDU1Ndxzzz3Ex8dz0003+TOfCAD1ne9jeSQbNXM2auJUuCiF8KEjAx1LhLK+XlZgcxxDnz1jfpZuzucxhaNHj9KvXz++853vYBgGl156KQMGDPBnNhEgKjIKhqajhp6/DDnKbqdaJioTfqIiIyGhDziOuW8oL4H+gwMTqptqtShorXn++edZv349NpuN+Ph4HA4Hr7/+OlOmTOHOO++UvmYhRMcl9fMsCkePSFEwWatFIScnh7y8PBYuXOi2ylpBQQF/+MMf+PDDD7n66qv9GlIIEfpUYjI6L9etTR89gnzkNFerYwoff/wxP/rRjzyW3Rw6dCg//OEP2bBhg9/CCSG6EVmFLSi0WhSKi4ubneIiPT2d4uLiTg8lhOh+vF2BpEvl74vZWi0KhmHQo0cPr9t69OghU2kLITrHRV7OFI4WO9cKF6ZpdUyhsbGR3bt3N7tdikLo0GfPgFKyEpYIjHg7qkc0urbmfNuZOjheAba+gcvVzbRaFOLi4lpcL6FXr16dGkgEjt72CfrPS+CiAahBQ51TZQ+/BHVRSqCjiW5AKYU1ZTD1e/e4byg5LEXBRK0WhaVLl5qRQwSDwgJobITig+jig/DJh3Dtjagbbwt0MtFNWPsP8igKuqQIdUlmgBJ1Pz7f0dxRubm53Hvvvdx999289dZbze63efNmZsyYwf79nvP5C//Sh72soSDLbwoThQ3wck9CyWHzg3RjphQFwzBYvnw5P//5z3nqqafYuHGj16uWamtref/99xk2bJgZscQFdKP36bJlDQVhpjAvN6rp0qIAJOm+TCkKBQUFJCUlkZiYSFhYGJMnT2br1q0e+61cuZJvf/vbhIeHmxFLXKi0CM6edW/rGSt9ucJU3s8UitB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\n" + }, + "metadata": {} + } + ], + "source": [ + "df3.loc[:31].plot.area(alpha=.4)\n", + "# plt.tight_layout()" + ] + }, + { + "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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\n" + }, + "metadata": {} + } + ], + "source": [ + "f = plt.figure()\n", + "\n", + "df3.loc[:31].plot.area(alpha=.4)\n", + "plt.legend(loc='center left', bbox_to_anchor=(1.0, 0.5))\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "image/png": 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Adj. CloseAdj. Volume
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1970-01-020.2097612825604.0
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1970-01-070.2133162728768.5
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\n" 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Volume'].plot(figsize=(12,4))" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "" + ] + }, + "metadata": {}, + "execution_count": 6 + }, + { + "output_type": "display_data", + "data": { + "text/plain": "
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Close'].plot(xlim=['2007-01-01','2009-01-01'],ylim=(20,50))" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "" + ] + }, + "metadata": {}, + "execution_count": 7 + }, + { + "output_type": "display_data", + "data": { + "text/plain": "
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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ], + "source": [ + "mcdon['Adj. Close'].plot(xlim=['2007-01-01','2009-01-01'],ylim=(20,50),\n", + " ls='--',c='red')" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [], + "source": [ + "import matplotlib.dates as dates" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "" + ] + }, + "metadata": {}, + "execution_count": 9 + }, + { + "output_type": "display_data", + "data": { + "text/plain": "
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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ], + "source": [ + "mcdon['Adj. Close'].plot(xlim=['2007-01-01','2009-01-01'],ylim=(20,50))" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [], + "source": [ + "idx = mcdon.loc['2007-01-01':'2007-05-01'].index" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [], + "source": [ + "stock = mcdon.loc['2007-01-01':'2007-05-01']['Adj. Close']" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "Date\n", + "2007-01-03 31.662754\n", + "2007-01-04 31.424580\n", + "2007-01-05 31.424580\n", + "2007-01-08 31.547276\n", + "2007-01-09 31.605015\n", + " ... \n", + "2007-04-25 35.098239\n", + "2007-04-26 35.531283\n", + "2007-04-27 35.329196\n", + "2007-04-30 34.845630\n", + "2007-05-01 35.466327\n", + "Name: Adj. Close, Length: 82, dtype: float64" + ] + }, + "metadata": {}, + "execution_count": 12 + } + ], + "source": [ + "stock" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": "
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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ], + "source": [ + "fig,ax = plt.subplots()\n", + "ax.plot_date(idx,stock,'-')\n", + "\n", + "# EMPLACEMENT\n", + "ax.xaxis.set_major_locator(dates.MonthLocator())\n", + "\n", + "# FORMATAGE\n", + "ax.xaxis.set_major_formatter(dates.DateFormatter('\\n\\n\\n\\n%b-%Y'))\n", + "\n", + "ax.xaxis.set_minor_locator(dates.WeekdayLocator(byweekday=0))\n", + "ax.xaxis.set_minor_formatter(dates.DateFormatter('%d'))\n", + "\n", + "fig.autofmt_xdate()\n", + "\n", + "plt.tight_layout()" + ] + } + ], + "metadata": { + "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": "3.7.9-final" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} \ No newline at end of file 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[ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Pandas Datareader\n", + "\n", + "** NOTE: Not every geographical location works well with pandas datareader, your firewall may also block it!**\n", + "\n", + "Functions from pandas_datareader.data and pandas_datareader.wb extract data from various Internet sources into a pandas DataFrame. Currently the following sources are supported:\n", + "\n", + "* Yahoo! Finance\n", + "* Google Finance\n", + "* Enigma\n", + "* St.Louis FED (FRED)\n", + "* Kenneth French’s data library\n", + "* World Bank\n", + "* OECD\n", + "* Eurostat\n", + "* Thrift Savings Plan\n", + "* Oanda currency historical rate\n", + "* Nasdaq Trader symbol definitions (remote_data.nasdaq_symbols)\n", + "\n", + "It should be noted, that various sources support different kinds of data, so not all sources implement the same methods and the data elements returned might also differ." + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "import pandas_datareader.data as web\n", + "\n", + "import datetime\n", + "\n", + "start = datetime.datetime(2015, 1, 1)\n", + "\n", + "end = datetime.datetime(2017, 1, 1)\n", + "\n", + "facebook = web.DataReader(\"FB\", 'google', start, end)" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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OpenHighLowCloseVolume
Date
2015-01-0278.5878.9377.7078.4518177475
2015-01-0577.9879.2576.8677.1926452191
2015-01-0677.2377.5975.3676.1527399288
2015-01-0776.7677.3675.8276.1522045333
2015-01-0876.7478.2376.0878.1823960953
\n", + "
" + ], + "text/plain": [ + " Open High Low Close Volume\n", + "Date \n", + "2015-01-02 78.58 78.93 77.70 78.45 18177475\n", + "2015-01-05 77.98 79.25 76.86 77.19 26452191\n", + "2015-01-06 77.23 77.59 75.36 76.15 27399288\n", + "2015-01-07 76.76 77.36 75.82 76.15 22045333\n", + "2015-01-08 76.74 78.23 76.08 78.18 23960953" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "facebook.head()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Experimental Options\n", + "\n", + "The Options class allows the download of options data from Google Finance.\n", + "\n", + "The get_options_data method downloads options data for specified expiry date and provides a formatted DataFrame with a hierarchical index, so its easy to get to the specific option you want.\n", + "\n", + "Available expiry dates can be accessed from the expiry_dates property." + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "from pandas_datareader.data import Options\n", + "\n", + "fb_options = Options('FB', 'google')" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [], + "source": [ + "data = fb_options.get_options_data(expiry=fb_options.expiry_dates[0])" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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LastBidAskChgPctChgVolOpen_IntRootUnderlying_PriceQuote_Time
StrikeExpiryTypeSymbol
5.02018-01-19callFB180119C00005000149.10150.00150.650.30.2050.09528.0FB155.272017-07-11 23:35:24.466303
putFB180119P000050000.01NaN0.030.00.00NaN3053.0FB155.272017-07-11 23:35:24.466303
10.02018-01-19callFB180119C00010000143.20145.05145.75-0.5-0.3540.02855.0FB155.272017-07-11 23:35:24.466303
putFB180119P000100000.01NaN0.020.00.00NaN2056.0FB155.272017-07-11 23:35:24.466303
15.02018-01-19callFB180119C00015000135.80140.10140.800.00.00NaN240.0FB155.272017-07-11 23:35:24.466303
\n", + "
" + ], + "text/plain": [ + " Last Bid Ask Chg PctChg \\\n", + "Strike Expiry Type Symbol \n", + "5.0 2018-01-19 call FB180119C00005000 149.10 150.00 150.65 0.3 0.20 \n", + " put FB180119P00005000 0.01 NaN 0.03 0.0 0.00 \n", + "10.0 2018-01-19 call FB180119C00010000 143.20 145.05 145.75 -0.5 -0.35 \n", + " put FB180119P00010000 0.01 NaN 0.02 0.0 0.00 \n", + "15.0 2018-01-19 call FB180119C00015000 135.80 140.10 140.80 0.0 0.00 \n", + "\n", + " Vol Open_Int Root \\\n", + "Strike Expiry Type Symbol \n", + "5.0 2018-01-19 call FB180119C00005000 50.0 9528.0 FB \n", + " put FB180119P00005000 NaN 3053.0 FB \n", + "10.0 2018-01-19 call FB180119C00010000 40.0 2855.0 FB \n", + " put FB180119P00010000 NaN 2056.0 FB \n", + "15.0 2018-01-19 call FB180119C00015000 NaN 240.0 FB \n", + "\n", + " Underlying_Price \\\n", + "Strike Expiry Type Symbol \n", + "5.0 2018-01-19 call FB180119C00005000 155.27 \n", + " put FB180119P00005000 155.27 \n", + "10.0 2018-01-19 call FB180119C00010000 155.27 \n", + " put FB180119P00010000 155.27 \n", + "15.0 2018-01-19 call FB180119C00015000 155.27 \n", + "\n", + " Quote_Time \n", + "Strike Expiry Type Symbol \n", + "5.0 2018-01-19 call FB180119C00005000 2017-07-11 23:35:24.466303 \n", + " put FB180119P00005000 2017-07-11 23:35:24.466303 \n", + "10.0 2018-01-19 call FB180119C00010000 2017-07-11 23:35:24.466303 \n", + " put FB180119P00010000 2017-07-11 23:35:24.466303 \n", + "15.0 2018-01-19 call FB180119C00015000 2017-07-11 23:35:24.466303 " + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "data.head()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# FRED" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "import pandas_datareader.data as web\n", + "\n", + "import datetime\n", + "\n", + "start = datetime.datetime(2010, 1, 1)\n", + "\n", + "end = datetime.datetime(2017, 1, 1)\n", + "\n", + "gdp = web.DataReader(\"GDP\", \"fred\", start, end)" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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GDP
DATE
2010-01-0114681.1
2010-04-0114888.6
2010-07-0115057.7
2010-10-0115230.2
2011-01-0115238.4
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" + ], + "text/plain": [ + " GDP\n", + "DATE \n", + "2010-01-01 14681.1\n", + "2010-04-01 14888.6\n", + "2010-07-01 15057.7\n", + "2010-10-01 15230.2\n", + "2011-01-01 15238.4" + ] + }, + "execution_count": 12, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "gdp.head()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.6.1" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/05-Sources-Données/.ipynb_checkpoints/2-Quandl-checkpoint.ipynb b/05-Sources-Données/.ipynb_checkpoints/2-Quandl-checkpoint.ipynb new file mode 100644 index 0000000..45258e2 --- /dev/null +++ b/05-Sources-Données/.ipynb_checkpoints/2-Quandl-checkpoint.ipynb @@ -0,0 +1,958 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Quandl\n", + "More info:\n", + "https://www.quandl.com/tools/python" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "import numpy as np\n", + "import pandas as pd\n", + "import matplotlib.pyplot as plt\n", + "%matplotlib inline" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "import quandl" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Make a Basic Data Call\n", + "This call gets the WTI Crude Oil price from the US Department of Energy:" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [], + "source": [ + "mydata = quandl.get(\"EIA/PET_RWTC_D\")" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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Value
Date
1986-01-0225.56
1986-01-0326.00
1986-01-0626.53
1986-01-0725.85
1986-01-0825.87
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" + ], + "text/plain": [ + " Value\n", + "Date \n", + "1986-01-02 25.56\n", + "1986-01-03 26.00\n", + "1986-01-06 26.53\n", + "1986-01-07 25.85\n", + "1986-01-08 25.87" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "mydata.head()" + ] + }, + { + "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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9m0/W3bdHmJaXjLISpaNF3RF9YK3E33PH9cNZE0JHS4/sGzr+W/kkIJZyj2QR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\nZ3NGTFrLVQ0r0t4jXSauZBE2uJTkC0WeeelNRs3kfIbhXFoGf+w4wpb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In the above example, it is \"EIA/PET_RWTC_D\"." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Change Formats\n", + "You can get the same data in a NumPy array:" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "mydata = quandl.get(\"EIA/PET_RWTC_D\", returns=\"numpy\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Specifying Data\n", + "\n", + "To set start and end dates:" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "mydata = quandl.get(\"FRED/GDP\", start_date=\"2001-12-31\", end_date=\"2005-12-31\")" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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" + ], + "text/plain": [ + " NSE/OIL - Open WIKI/AAPL - Close\n", + "Date \n", + "1980-12-12 NaN 28.75\n", + "1980-12-15 NaN 27.25\n", + "1980-12-16 NaN 25.25\n", + "1980-12-17 NaN 25.87\n", + "1980-12-18 NaN 26.63" + ] + }, + "execution_count": 21, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "mydata.head()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Usage Limits\n", + "The Quandl Python module is free. If you would like to make more than 50 calls a day, however, you will need to create a free Quandl account and set your API key:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# EXAMPLE\n", + "quandl.ApiConfig.api_key = \"YOUR_KEY_HERE\"\n", + "mydata = quandl.get(\"FRED/GDP\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Database Codes\n", + "\n", + "Each database on Quandl has a short (3-to-6 character) database ID. For example:\n", + "\n", + "* CFTC Commitment of Traders Data: CFTC\n", + "* Core US Stock Fundamentals: SF1\n", + "* Federal Reserve Economic Data: FRED\n", + "\n", + "Each database contains many datasets. Datasets have their own IDs which are appended to their parent database ID, like this:\n", + "\n", + "* Commitment of traders for wheat: CFTC/W_F_ALL\n", + "* Market capitalization for Apple: SF1/AAPL_MARKETCAP\n", + "* US civilian unemployment rate: FRED/UNRATE\n", + "\n", + "You can download all dataset codes in a database in a single API call, by appending /codes to your database request. The call will return a ZIP file containing a CSV.\n", + "\n", + "### Databases\n", + "\n", + "\n", + "Every Quandl code has 2 parts: the database code (“WIKI”) which specifies where the data comes from, and the dataset code (“FB”) which identifies the specific time series you want.\n", + "\n", + "You can find Quandl codes on their website, using their data browser.\n", + "\n", + "https://www.quandl.com/search" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# FOR STOCKS" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "mydata = quandl.get('WIKI/FB',start_date='2015-01-01',end_date='2017-01-01')" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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2015-01-0876.7478.230076.08078.17523960953.00.01.076.7478.230076.08078.17523960953.0
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" + ], + "text/plain": [ + " Open High Low Close Volume Ex-Dividend \\\n", + "Date \n", + "2015-01-02 78.58 78.9300 77.700 78.450 18177475.0 0.0 \n", + "2015-01-05 77.98 79.2455 76.860 77.190 26452191.0 0.0 \n", + "2015-01-06 77.23 77.5900 75.365 76.150 27399288.0 0.0 \n", + "2015-01-07 76.76 77.3600 75.820 76.150 22045333.0 0.0 \n", + "2015-01-08 76.74 78.2300 76.080 78.175 23960953.0 0.0 \n", + "\n", + " Split Ratio Adj. Open Adj. High Adj. Low Adj. Close \\\n", + "Date \n", + "2015-01-02 1.0 78.58 78.9300 77.700 78.450 \n", + "2015-01-05 1.0 77.98 79.2455 76.860 77.190 \n", + "2015-01-06 1.0 77.23 77.5900 75.365 76.150 \n", + "2015-01-07 1.0 76.76 77.3600 75.820 76.150 \n", + "2015-01-08 1.0 76.74 78.2300 76.080 78.175 \n", + "\n", + " Adj. Volume \n", + "Date \n", + "2015-01-02 18177475.0 \n", + "2015-01-05 26452191.0 \n", + "2015-01-06 27399288.0 \n", + "2015-01-07 22045333.0 \n", + "2015-01-08 23960953.0 " + ] + }, + "execution_count": 24, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "mydata.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "mydata = quandl.get('WIKI/FB.1',start_date='2015-01-01',end_date='2017-01-01')" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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Open
Date
2015-01-0278.58
2015-01-0577.98
2015-01-0677.23
2015-01-0776.76
2015-01-0876.74
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" + ], + "text/plain": [ + " Open\n", + "Date \n", + "2015-01-02 78.58\n", + "2015-01-05 77.98\n", + "2015-01-06 77.23\n", + "2015-01-07 76.76\n", + "2015-01-08 76.74" + ] + }, + "execution_count": 26, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "mydata.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "mydata = quandl.get('WIKI/FB.7',start_date='2015-01-01',end_date='2017-01-01')" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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Split Ratio
Date
2015-01-021.0
2015-01-051.0
2015-01-061.0
2015-01-071.0
2015-01-081.0
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" + ], + "text/plain": [ + " Split Ratio\n", + "Date \n", + "2015-01-02 1.0\n", + "2015-01-05 1.0\n", + "2015-01-06 1.0\n", + "2015-01-07 1.0\n", + "2015-01-08 1.0" + ] + }, + "execution_count": 28, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "mydata.head()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Housing Price Example\n", + "\n", + "**Zillow Home Value Index (Metro): Zillow Rental Index - All Homes - San Francisco, CA**\n", + "\n", + "The Zillow Home Value Index is Zillow's estimate of the median market value of zillow rental index - all homes within the metro of San Francisco, CA. This data is calculated by Zillow Real Estate Research (www.zillow.com/research) using their database of 110 million homes." + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "houses = quandl.get('ZILLOW/M11_ZRIAH')" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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Value
Date
2010-11-302240.0
2010-12-312253.0
2011-01-312275.0
2011-02-282304.0
2011-03-312333.0
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" + ], + "text/plain": [ + " Value\n", + "Date \n", + "2010-11-30 2240.0\n", + "2010-12-31 2253.0\n", + "2011-01-31 2275.0\n", + "2011-02-28 2304.0\n", + "2011-03-31 2333.0" + ] + }, + "execution_count": 35, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "houses.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 36, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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H5FczVmIGd1+gSeJimZKAiBy1gnXbeWV+MePPzKVr2/RIhyPHQUlARI7Khm2V3PanufTq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\nwq27uWVSAd3apfP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Pandas Datareader\n", + "\n", + "**EMARQUE : Tous les emplacements géographiques ne fonctionnent pas bien avec le lecteur de données pandas, votre pare-feu peut aussi le bloquer !**\n", + "\n", + "Les fonctions de pandas_datareader.data et pandas_datareader.wb extraient les données de diverses sources Internet dans un DataFrame pandas. Actuellement, les sources suivantes sont supportées :\n", + "\n", + "* Yahoo! Finance\n", + "* Enigma\n", + "* St.Louis FED (FRED)\n", + "* Kenneth French’s data library\n", + "* World Bank\n", + "* OECD\n", + "* Eurostat\n", + "* Thrift Savings Plan\n", + "* Oanda currency historical rate\n", + "* Nasdaq Trader symbol definitions (remote_data.nasdaq_symbols)\n", + "\n", + "Il convient de noter que diverses sources soutiennent différents types de données, de sorte que toutes les sources n'appliquent pas les mêmes méthodes et que les éléments de données retournés peuvent également différer." + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import pandas_datareader.data as web\n", + "\n", + "import datetime\n", + "\n", + "start = datetime.datetime(2015, 1, 1)\n", + "\n", + "end = datetime.datetime(2017, 1, 1)\n", + "\n", + "facebook = web.DataReader(\"FB\", 'yahoo', start, end)" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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HighLowOpenCloseVolumeAdj Close
Date
2015-01-0278.93000077.69999778.58000278.4499971817750078.449997
2015-01-0579.25000076.86000177.98000377.1900022645220077.190002
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2015-01-0878.23000376.08000276.73999878.1800002396100078.180000
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" + ], + "text/plain": [ + " High Low Open Close Volume Adj Close\n", + "Date \n", + "2015-01-02 78.930000 77.699997 78.580002 78.449997 18177500 78.449997\n", + "2015-01-05 79.250000 76.860001 77.980003 77.190002 26452200 77.190002\n", + "2015-01-06 77.589996 75.360001 77.230003 76.150002 27399300 76.150002\n", + "2015-01-07 77.360001 75.820000 76.760002 76.150002 22045300 76.150002\n", + "2015-01-08 78.230003 76.080002 76.739998 78.180000 23961000 78.180000" + ] + }, + "execution_count": 2, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "facebook.head()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# FRED" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "import pandas_datareader.data as web\n", + "\n", + "import datetime\n", + "\n", + "start = datetime.datetime(2010, 1, 1)\n", + "\n", + "end = datetime.datetime(2017, 1, 1)\n", + "\n", + "gdp = web.DataReader(\"GDP\", \"fred\", start, end)" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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GDP
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Value
Date
1986-01-0225.56
1986-01-0326.00
1986-01-0626.53
1986-01-0725.85
1986-01-0825.87
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+ }, + "metadata": { + "needs_background": "light" + } + } + ], + "source": [ + "mydata.plot(figsize=(12,6))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Notez que vous devez connaître le \"code Quandl\" de chaque ensemble de données que vous téléchargez. Dans l'exemple ci-dessus, il s'agit de \"EIA/PET_RWTC_D\"." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Modifier les formats\n", + "Vous pouvez obtenir les mêmes données dans un tableau NumPy:" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "mydata = quandl.get(\"EIA/PET_RWTC_D\", returns=\"numpy\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Spécification des données\n", + "\n", + "Pour définir les dates de début et de fin:" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "mydata = quandl.get(\"FRED/GDP\", start_date=\"2001-12-31\", end_date=\"2005-12-31\")" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " Value\n", + "Date \n", + "2002-01-01 10788.952\n", + "2002-04-01 10893.207\n", + "2002-07-01 10992.051\n", + "2002-10-01 11071.463\n", + "2003-01-01 11183.507" + ], + "text/html": "
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Value
Date
2002-01-0110788.952
2002-04-0110893.207
2002-07-0110992.051
2002-10-0111071.463
2003-01-0111183.507
\n
" + }, + "metadata": {}, + "execution_count": 8 + } + ], + "source": [ + "mydata.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [], + "source": [ + "mydata = quandl.get([\"NSE/OIL.1\", \"WIKI/AAPL.4\"])" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " NSE/OIL - Open WIKI/AAPL - Close\n", + "Date \n", + "1980-12-12 NaN 28.75\n", + "1980-12-15 NaN 27.25\n", + "1980-12-16 NaN 25.25\n", + "1980-12-17 NaN 25.87\n", + "1980-12-18 NaN 26.63" + ], + "text/html": "
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NSE/OIL - OpenWIKI/AAPL - Close
Date
1980-12-12NaN28.75
1980-12-15NaN27.25
1980-12-16NaN25.25
1980-12-17NaN25.87
1980-12-18NaN26.63
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" + }, + "metadata": {}, + "execution_count": 10 + } + ], + "source": [ + "mydata.head()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Limites d'utilisation\n", + "Le module Quandl Python est gratuit. Si vous souhaitez passer plus de 50 requêtes par jour, vous devrez créer un compte Quandl gratuit et définir votre clé API:" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [], + "source": [ + "# EXEMPLE\n", + "quandl.ApiConfig.api_key = \"A remplacer par votre clé API (API KEY)\"\n", + "mydata = quandl.get(\"FRED/GDP\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Codes de base de données\n", + "\n", + "Chaque base de données sur Quandl a un ID de base de données court (3 à 6 caractères). Par exemple :\n", + "\n", + "* CFTC Commitment of Traders Data: CFTC\n", + "* Actions américaines (Core US Stock Fundamentals): SF1\n", + "* Données économiques de la Réserve fédérale américaine (Federal Reserve Economic Data): FRED\n", + "\n", + "Chaque base de données contient de nombreux ensembles de données. Les ensembles de données ont leurs propres ID qui sont ajoutés à l'ID de leur base de données mère, comme ceci :\n", + "\n", + "* CFTC pour le blé: CFTC/W_F_ALL\n", + "* Capitalisation d'Apple: SF1/AAPL_MARKETCAP\n", + "* Taux de chômage américain: FRED/UNRATE\n", + "\n", + "Vous pouvez télécharger tous les codes d'un ensemble de données dans une base de données en ue seule requête API, en ajoutant '/codes' à votre demande de base de données. La requête retourne un fichier ZIP contenant un CSV.\n", + "\n", + "### Bases de Données\n", + "\n", + "\n", + "Chaque code Quandl comporte 2 parties: le code de la base de données (\"WIKI\") qui spécifie d'où proviennent les données, et le code du jeu de données (\"FB\") qui identifie la série temporelle spécifique que vous voulez.\n", + "\n", + "Vous pouvez trouver les codes Quandl sur leur site Web, en utilisant leur navigateur de données.\n", + "\n", + "https://www.quandl.com/search" + ] + }, + { + "source": [ + "# POUR LES ACTIONS (STOCKS)" + ], + "cell_type": "code", + "metadata": {}, + "execution_count": 12, + "outputs": [] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [], + "source": [ + "mydata = quandl.get('WIKI/FB',start_date='2015-01-01',end_date='2017-01-01')" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " Open High Low Close Volume Ex-Dividend \\\n", + "Date \n", + "2015-01-02 78.58 78.9300 77.700 78.450 18177475.0 0.0 \n", + "2015-01-05 77.98 79.2455 76.860 77.190 26452191.0 0.0 \n", + "2015-01-06 77.23 77.5900 75.365 76.150 27399288.0 0.0 \n", + "2015-01-07 76.76 77.3600 75.820 76.150 22045333.0 0.0 \n", + "2015-01-08 76.74 78.2300 76.080 78.175 23960953.0 0.0 \n", + "\n", + " Split Ratio Adj. Open Adj. High Adj. Low Adj. Close \\\n", + "Date \n", + "2015-01-02 1.0 78.58 78.9300 77.700 78.450 \n", + "2015-01-05 1.0 77.98 79.2455 76.860 77.190 \n", + "2015-01-06 1.0 77.23 77.5900 75.365 76.150 \n", + "2015-01-07 1.0 76.76 77.3600 75.820 76.150 \n", + "2015-01-08 1.0 76.74 78.2300 76.080 78.175 \n", + "\n", + " Adj. Volume \n", + "Date \n", + "2015-01-02 18177475.0 \n", + "2015-01-05 26452191.0 \n", + "2015-01-06 27399288.0 \n", + "2015-01-07 22045333.0 \n", + "2015-01-08 23960953.0 " + ], + "text/html": "
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OpenHighLowCloseVolumeEx-DividendSplit RatioAdj. OpenAdj. HighAdj. LowAdj. CloseAdj. Volume
Date
2015-01-0278.5878.930077.70078.45018177475.00.01.078.5878.930077.70078.45018177475.0
2015-01-0577.9879.245576.86077.19026452191.00.01.077.9879.245576.86077.19026452191.0
2015-01-0677.2377.590075.36576.15027399288.00.01.077.2377.590075.36576.15027399288.0
2015-01-0776.7677.360075.82076.15022045333.00.01.076.7677.360075.82076.15022045333.0
2015-01-0876.7478.230076.08078.17523960953.00.01.076.7478.230076.08078.17523960953.0
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" + }, + "metadata": {}, + "execution_count": 14 + } + ], + "source": [ + "mydata.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [], + "source": [ + "mydata = quandl.get('WIKI/FB.1',start_date='2015-01-01',end_date='2017-01-01')" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " Open\n", + "Date \n", + "2015-01-02 78.58\n", + "2015-01-05 77.98\n", + "2015-01-06 77.23\n", + "2015-01-07 76.76\n", + "2015-01-08 76.74" + ], + "text/html": "
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Open
Date
2015-01-0278.58
2015-01-0577.98
2015-01-0677.23
2015-01-0776.76
2015-01-0876.74
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" + }, + "metadata": {}, + "execution_count": 16 + } + ], + "source": [ + "mydata.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [], + "source": [ + "mydata = quandl.get('WIKI/FB.7',start_date='2015-01-01',end_date='2017-01-01')" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " Split Ratio\n", + "Date \n", + "2015-01-02 1.0\n", + "2015-01-05 1.0\n", + "2015-01-06 1.0\n", + "2015-01-07 1.0\n", + "2015-01-08 1.0" + ], + "text/html": "
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Split Ratio
Date
2015-01-021.0
2015-01-051.0
2015-01-061.0
2015-01-071.0
2015-01-081.0
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" + }, + "metadata": {}, + "execution_count": 18 + } + ], + "source": [ + "mydata.head()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Exemple Prix Logement\n", + "\n", + "**Zillow Home Value Index (Metro: Indice Zillow des loyers - Tous les logements - San Francisco, CA**\n", + "\n", + "L'indice Zillow 'Home Value Index' est l'estimation par Zillow de la valeur marchande médiane de l'indice locatif Zillow pour toutes les maisons dans la zone de San Francisco, CA. Ces données sont calculées par Zillow Real Estate Research (www.zillow.com/research) à partir de leur base de données de 110 millions de foyers." + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [], + "source": [ + "houses = quandl.get('ZILLOW/M11_ZRIAH')" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " Value\n", + "Date \n", + "2010-11-30 2454.0\n", + "2010-12-31 2461.0\n", + "2011-01-31 2484.0\n", + "2011-02-28 2506.0\n", + "2011-03-31 2526.0" + ], + "text/html": "
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Value
Date
2010-11-302454.0
2010-12-312461.0
2011-01-312484.0
2011-02-282506.0
2011-03-312526.0
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+ }, + "metadata": { + "needs_background": "light" + } + } + ], + "source": [ + "houses.plot()" + ] + } + ], + "metadata": { + "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": "3.7.9-final" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} \ No newline at end of file diff --git a/06-Pandas-avec-Time-Series/.ipynb_checkpoints/Datetime Index-checkpoint.ipynb b/06-Pandas-avec-Time-Series/.ipynb_checkpoints/Datetime Index-checkpoint.ipynb new file mode 100644 index 0000000..fec22c3 --- /dev/null +++ b/06-Pandas-avec-Time-Series/.ipynb_checkpoints/Datetime Index-checkpoint.ipynb @@ -0,0 +1,467 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "___\n", + "\n", + " \n", + "___\n", + "
*Copyright Pierian Data 2017*
\n", + "
*For more information, visit us at www.pieriandata.com*
" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Introduction to Time Series with Pandas\n", + "\n", + "A lot of our financial data will have a datatime index, so let's learn how to deal with this sort of data with pandas!" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "import numpy as np\n", + "import pandas as pd\n", + "import matplotlib.pyplot as plt" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "from datetime import datetime" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# To illustrate the order of arguments\n", + "my_year = 2017\n", + "my_month = 1\n", + "my_day = 2\n", + "my_hour = 13\n", + "my_minute = 30\n", + "my_second = 15" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "# January 2nd, 2017\n", + "my_date = datetime(my_year,my_month,my_day)" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "datetime.datetime(2017, 1, 2, 0, 0)" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Defaults to 0:00\n", + "my_date " + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# January 2nd, 2017 at 13:30:15\n", + "my_date_time = datetime(my_year,my_month,my_day,my_hour,my_minute,my_second)" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "datetime.datetime(2017, 1, 2, 13, 30, 15)" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "my_date_time" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "You can grab any part of the datetime object you want" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "2" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "my_date.day" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "13" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "my_date_time.hour" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Pandas with Datetime Index\n", + "\n", + "You'll usually deal with time series as an index when working with pandas dataframes obtained from some sort of financial API. Fortunately pandas has a lot of functions and methods to work with time series!" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "[datetime.datetime(2016, 1, 1, 0, 0), datetime.datetime(2016, 1, 2, 0, 0)]" + ] + }, + "execution_count": 13, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Create an example datetime list/array\n", + "first_two = [datetime(2016, 1, 1), datetime(2016, 1, 2)]\n", + "first_two" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "DatetimeIndex(['2016-01-01', '2016-01-02'], dtype='datetime64[ns]', freq=None)" + ] + }, + "execution_count": 14, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Converted to an index\n", + "dt_ind = pd.DatetimeIndex(first_two)\n", + "dt_ind" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[-1.58270607 0.47766839]\n", + " [ 0.34171008 0.5889566 ]]\n" + ] + } + ], + "source": [ + "# Attached to some random data\n", + "data = np.random.randn(2,2)\n", + "print(data)\n", + "cols = ['A','B']" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "df = pd.DataFrame(data,dt_ind,cols)" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/html": [ + "
\n", + "\n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + "
AB
2016-01-010.165224-0.767629
2016-01-02-0.4823050.307934
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" + ], + "text/plain": [ + " A B\n", + "2016-01-01 0.165224 -0.767629\n", + "2016-01-02 -0.482305 0.307934" + ] + }, + "execution_count": 30, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "DatetimeIndex(['2016-01-01', '2016-01-02'], dtype='datetime64[ns]', freq=None)" + ] + }, + "execution_count": 31, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df.index" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "1" + ] + }, + "execution_count": 34, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Latest Date Location\n", + "df.index.argmax()" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "Timestamp('2016-01-02 00:00:00')" + ] + }, + "execution_count": 35, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df.index.max()" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "0" + ] + }, + "execution_count": 37, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Earliest Date Index Location\n", + "df.index.argmin()" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "Timestamp('2016-01-01 00:00:00')" + ] + }, + "execution_count": 38, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df.index.min()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Great, let's move on!" + ] + } + ], + "metadata": { + "anaconda-cloud": {}, + "kernelspec": { + "display_name": "Python [conda root]", + "language": "python", + "name": "conda-root-py" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.5.3" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/06-Pandas-avec-Time-Series/.ipynb_checkpoints/Décalage Temporel-checkpoint.ipynb b/06-Pandas-avec-Time-Series/.ipynb_checkpoints/Décalage Temporel-checkpoint.ipynb new file mode 100644 index 0000000..949bc01 --- /dev/null +++ b/06-Pandas-avec-Time-Series/.ipynb_checkpoints/Décalage Temporel-checkpoint.ipynb @@ -0,0 +1,811 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "___\n", + "\n", + " \n", + "___\n", + "
*Copyright Pierian Data 2017*
\n", + "
*For more information, visit us at www.pieriandata.com*
" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Time Shifting\n", + "\n", + "Sometimes you may need to shift all your data up or down along the time series index, in fact, a lot of pandas built-in methods do this under the hood. This isn't something we won't do often in the course, but its definitely good to know about this anyways!" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "import pandas as pd\n", + "\n", + "import matplotlib.pyplot as plt\n", + "%matplotlib inline" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "df = pd.read_csv('time_data/walmart_stock.csv',index_col='Date')\n", + "df.index = pd.to_datetime(df.index)" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/html": [ + "
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OpenHighLowCloseVolumeAdj Close
Date
2012-01-0359.97000161.06000159.86999960.3300021266880052.619235
2012-01-0460.20999960.34999859.47000159.709999959330052.078475
2012-01-0559.34999859.61999958.36999959.4199981276820051.825539
2012-01-0659.41999859.45000158.86999959.000000806940051.459220
2012-01-0959.02999959.54999958.91999859.180000667930051.616215
\n", + "
" + ], + "text/plain": [ + " Open High Low Close Volume Adj Close\n", + "Date \n", + "2012-01-03 59.970001 61.060001 59.869999 60.330002 12668800 52.619235\n", + "2012-01-04 60.209999 60.349998 59.470001 59.709999 9593300 52.078475\n", + "2012-01-05 59.349998 59.619999 58.369999 59.419998 12768200 51.825539\n", + "2012-01-06 59.419998 59.450001 58.869999 59.000000 8069400 51.459220\n", + "2012-01-09 59.029999 59.549999 58.919998 59.180000 6679300 51.616215" + ] + }, + "execution_count": 21, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/html": [ + "
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OpenHighLowCloseVolumeAdj Close
Date
2016-12-2369.43000069.75000069.36000169.540001480390069.032411
2016-12-2769.30000369.82000069.25000069.699997443570069.191240
2016-12-2869.94000270.00000069.26000269.309998487570068.804087
2016-12-2969.20999969.51999769.12000369.260002429840068.754456
2016-12-3069.12000369.43000068.83000269.120003688950068.615479
\n", + "
" + ], + "text/plain": [ + " Open High Low Close Volume Adj Close\n", + "Date \n", + "2016-12-23 69.430000 69.750000 69.360001 69.540001 4803900 69.032411\n", + "2016-12-27 69.300003 69.820000 69.250000 69.699997 4435700 69.191240\n", + "2016-12-28 69.940002 70.000000 69.260002 69.309998 4875700 68.804087\n", + "2016-12-29 69.209999 69.519997 69.120003 69.260002 4298400 68.754456\n", + "2016-12-30 69.120003 69.430000 68.830002 69.120003 6889500 68.615479" + ] + }, + "execution_count": 22, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df.tail()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## .shift() forward" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/html": [ + "
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OpenHighLowCloseVolumeAdj Close
Date
2012-01-03NaNNaNNaNNaNNaNNaN
2012-01-0459.97000161.06000159.86999960.33000212668800.052.619235
2012-01-0560.20999960.34999859.47000159.7099999593300.052.078475
2012-01-0659.34999859.61999958.36999959.41999812768200.051.825539
2012-01-0959.41999859.45000158.86999959.0000008069400.051.459220
\n", + "
" + ], + "text/plain": [ + " Open High Low Close Volume Adj Close\n", + "Date \n", + "2012-01-03 NaN NaN NaN NaN NaN NaN\n", + "2012-01-04 59.970001 61.060001 59.869999 60.330002 12668800.0 52.619235\n", + "2012-01-05 60.209999 60.349998 59.470001 59.709999 9593300.0 52.078475\n", + "2012-01-06 59.349998 59.619999 58.369999 59.419998 12768200.0 51.825539\n", + "2012-01-09 59.419998 59.450001 58.869999 59.000000 8069400.0 51.459220" + ] + }, + "execution_count": 23, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df.shift(1).head()" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/html": [ + "
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OpenHighLowCloseVolumeAdj Close
Date
2016-12-2371.23999871.23999869.20999969.58999612106800.069.082042
2016-12-2769.43000069.75000069.36000169.5400014803900.069.032411
2016-12-2869.30000369.82000069.25000069.6999974435700.069.191240
2016-12-2969.94000270.00000069.26000269.3099984875700.068.804087
2016-12-3069.20999969.51999769.12000369.2600024298400.068.754456
\n", + "
" + ], + "text/plain": [ + " Open High Low Close Volume Adj Close\n", + "Date \n", + "2016-12-23 71.239998 71.239998 69.209999 69.589996 12106800.0 69.082042\n", + "2016-12-27 69.430000 69.750000 69.360001 69.540001 4803900.0 69.032411\n", + "2016-12-28 69.300003 69.820000 69.250000 69.699997 4435700.0 69.191240\n", + "2016-12-29 69.940002 70.000000 69.260002 69.309998 4875700.0 68.804087\n", + "2016-12-30 69.209999 69.519997 69.120003 69.260002 4298400.0 68.754456" + ] + }, + "execution_count": 24, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# You will lose that last piece of data that no longer has an index!\n", + "df.shift(1).tail()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## shift() backwards" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/html": [ + "
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OpenHighLowCloseVolumeAdj Close
Date
2012-01-0360.20999960.34999859.47000159.7099999593300.052.078475
2012-01-0459.34999859.61999958.36999959.41999812768200.051.825539
2012-01-0559.41999859.45000158.86999959.0000008069400.051.459220
2012-01-0659.02999959.54999958.91999859.1800006679300.051.616215
2012-01-0959.43000059.70999958.98000059.0400016907300.051.494109
\n", + "
" + ], + "text/plain": [ + " Open High Low Close Volume Adj Close\n", + "Date \n", + "2012-01-03 60.209999 60.349998 59.470001 59.709999 9593300.0 52.078475\n", + "2012-01-04 59.349998 59.619999 58.369999 59.419998 12768200.0 51.825539\n", + "2012-01-05 59.419998 59.450001 58.869999 59.000000 8069400.0 51.459220\n", + "2012-01-06 59.029999 59.549999 58.919998 59.180000 6679300.0 51.616215\n", + "2012-01-09 59.430000 59.709999 58.980000 59.040001 6907300.0 51.494109" + ] + }, + "execution_count": 25, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df.shift(-1).head()" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/html": [ + "
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OpenHighLowCloseVolumeAdj Close
Date
2016-12-2369.30000369.82000069.25000069.6999974435700.069.191240
2016-12-2769.94000270.00000069.26000269.3099984875700.068.804087
2016-12-2869.20999969.51999769.12000369.2600024298400.068.754456
2016-12-2969.12000369.43000068.83000269.1200036889500.068.615479
2016-12-30NaNNaNNaNNaNNaNNaN
\n", + "
" + ], + "text/plain": [ + " Open High Low Close Volume Adj Close\n", + "Date \n", + "2016-12-23 69.300003 69.820000 69.250000 69.699997 4435700.0 69.191240\n", + "2016-12-27 69.940002 70.000000 69.260002 69.309998 4875700.0 68.804087\n", + "2016-12-28 69.209999 69.519997 69.120003 69.260002 4298400.0 68.754456\n", + "2016-12-29 69.120003 69.430000 68.830002 69.120003 6889500.0 68.615479\n", + "2016-12-30 NaN NaN NaN NaN NaN NaN" + ] + }, + "execution_count": 26, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df.shift(-1).tail()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Shifting based off Time String Code \n", + "### Using tshift()" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/html": [ + "
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OpenHighLowCloseVolumeAdj Close
Date
2012-01-3159.97000161.06000159.86999960.3300021266880052.619235
2012-01-3160.20999960.34999859.47000159.709999959330052.078475
2012-01-3159.34999859.61999958.36999959.4199981276820051.825539
2012-01-3159.41999859.45000158.86999959.000000806940051.459220
2012-01-3159.02999959.54999958.91999859.180000667930051.616215
\n", + "
" + ], + "text/plain": [ + " Open High Low Close Volume Adj Close\n", + "Date \n", + "2012-01-31 59.970001 61.060001 59.869999 60.330002 12668800 52.619235\n", + "2012-01-31 60.209999 60.349998 59.470001 59.709999 9593300 52.078475\n", + "2012-01-31 59.349998 59.619999 58.369999 59.419998 12768200 51.825539\n", + "2012-01-31 59.419998 59.450001 58.869999 59.000000 8069400 51.459220\n", + "2012-01-31 59.029999 59.549999 58.919998 59.180000 6679300 51.616215" + ] + }, + "execution_count": 28, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Shift everything forward one month\n", + "df.tshift(periods=1,freq='M').head()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "That is it for now!" + ] + } + ], + "metadata": { + "anaconda-cloud": {}, + "kernelspec": { + "display_name": "Python [conda root]", + "language": "python", + "name": "conda-root-py" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.5.3" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/06-Pandas-avec-Time-Series/.ipynb_checkpoints/Ré-échantillonnage du Temps-checkpoint.ipynb b/06-Pandas-avec-Time-Series/.ipynb_checkpoints/Ré-échantillonnage du Temps-checkpoint.ipynb new file mode 100644 index 0000000..d6244a6 --- /dev/null +++ b/06-Pandas-avec-Time-Series/.ipynb_checkpoints/Ré-échantillonnage du Temps-checkpoint.ipynb @@ -0,0 +1,859 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "___\n", + "\n", + " \n", + "___\n", + "
*Copyright Pierian Data 2017*
\n", + "
*For more information, visit us at www.pieriandata.com*
" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Time Resampling\n", + "\n", + "Let's learn how to sample time series data! This will be useful later on in the course!" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "import numpy as np\n", + "import pandas as pd" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "%matplotlib inline\n", + "import matplotlib.pyplot as plt" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# Grab data\n", + "# Faster alternative\n", + "# df = pd.read_csv('time_data/walmart_stock.csv',index_col='Date')\n", + "df = pd.read_csv('time_data/walmart_stock.csv')" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/html": [ + "
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DateOpenHighLowCloseVolumeAdj Close
02012-01-0359.97000161.06000159.86999960.3300021266880052.619235
12012-01-0460.20999960.34999859.47000159.709999959330052.078475
22012-01-0559.34999859.61999958.36999959.4199981276820051.825539
32012-01-0659.41999859.45000158.86999959.000000806940051.459220
42012-01-0959.02999959.54999958.91999859.180000667930051.616215
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" + ], + "text/plain": [ + " Date Open High Low Close Volume Adj Close\n", + "0 2012-01-03 59.970001 61.060001 59.869999 60.330002 12668800 52.619235\n", + "1 2012-01-04 60.209999 60.349998 59.470001 59.709999 9593300 52.078475\n", + "2 2012-01-05 59.349998 59.619999 58.369999 59.419998 12768200 51.825539\n", + "3 2012-01-06 59.419998 59.450001 58.869999 59.000000 8069400 51.459220\n", + "4 2012-01-09 59.029999 59.549999 58.919998 59.180000 6679300 51.616215" + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df.head()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Create a date index from the date column" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "df['Date'] = df['Date'].apply(pd.to_datetime)" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/html": [ + "
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DateOpenHighLowCloseVolumeAdj Close
02012-01-0359.97000161.06000159.86999960.3300021266880052.619235
12012-01-0460.20999960.34999859.47000159.709999959330052.078475
22012-01-0559.34999859.61999958.36999959.4199981276820051.825539
32012-01-0659.41999859.45000158.86999959.000000806940051.459220
42012-01-0959.02999959.54999958.91999859.180000667930051.616215
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" + ], + "text/plain": [ + " Date Open High Low Close Volume Adj Close\n", + "0 2012-01-03 59.970001 61.060001 59.869999 60.330002 12668800 52.619235\n", + "1 2012-01-04 60.209999 60.349998 59.470001 59.709999 9593300 52.078475\n", + "2 2012-01-05 59.349998 59.619999 58.369999 59.419998 12768200 51.825539\n", + "3 2012-01-06 59.419998 59.450001 58.869999 59.000000 8069400 51.459220\n", + "4 2012-01-09 59.029999 59.549999 58.919998 59.180000 6679300 51.616215" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "df.set_index('Date',inplace=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/html": [ + "
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OpenHighLowCloseVolumeAdj Close
Date
2012-01-0359.97000161.06000159.86999960.3300021266880052.619235
2012-01-0460.20999960.34999859.47000159.709999959330052.078475
2012-01-0559.34999859.61999958.36999959.4199981276820051.825539
2012-01-0659.41999859.45000158.86999959.000000806940051.459220
2012-01-0959.02999959.54999958.91999859.180000667930051.616215
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" + ], + "text/plain": [ + " Open High Low Close Volume Adj Close\n", + "Date \n", + "2012-01-03 59.970001 61.060001 59.869999 60.330002 12668800 52.619235\n", + "2012-01-04 60.209999 60.349998 59.470001 59.709999 9593300 52.078475\n", + "2012-01-05 59.349998 59.619999 58.369999 59.419998 12768200 51.825539\n", + "2012-01-06 59.419998 59.450001 58.869999 59.000000 8069400 51.459220\n", + "2012-01-09 59.029999 59.549999 58.919998 59.180000 6679300 51.616215" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df.head()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## resample()\n", + "\n", + "A common operation with time series data is resamplling based on the time series index. Let see how to use the resample() method.\n", + "\n", + "#### All possible time series offest strings" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "
AliasDescription
Bbusiness day frequency
Ccustom business day frequency (experimental)
Dcalendar day frequency
Wweekly frequency
Mmonth end frequency
SMsemi-month end frequency (15th and end of month)
BMbusiness month end frequency
CBMcustom business month end frequency
MSmonth start frequency
SMSsemi-month start frequency (1st and 15th)
BMSbusiness month start frequency
CBMScustom business month start frequency
Qquarter end frequency
BQbusiness quarter endfrequency
QSquarter start frequency
BQSbusiness quarter start frequency
Ayear end frequency
BAbusiness year end frequency
ASyear start frequency
BASbusiness year start frequency
BHbusiness hour frequency
Hhourly frequency
T, minminutely frequency
Ssecondly frequency
L, msmilliseconds
U, usmicroseconds
Nnanoseconds
" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "DatetimeIndex(['2012-01-03', '2012-01-04', '2012-01-05', '2012-01-06',\n", + " '2012-01-09', '2012-01-10', '2012-01-11', '2012-01-12',\n", + " '2012-01-13', '2012-01-17',\n", + " ...\n", + " '2016-12-16', '2016-12-19', '2016-12-20', '2016-12-21',\n", + " '2016-12-22', '2016-12-23', '2016-12-27', '2016-12-28',\n", + " '2016-12-29', '2016-12-30'],\n", + " dtype='datetime64[ns]', name='Date', length=1258, freq=None)" + ] + }, + "execution_count": 14, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Our index\n", + "df.index" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "You need to call resample with the rule parameter, then you need to call some sort of aggregation function. This is because due to resampling, we need some sort of mathematical rule to join the rows by (mean,sum,count,etc...)" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/html": [ + "
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OpenHighLowCloseVolumeAdj Close
Date
2012-12-3167.15868067.60212066.78652067.215120923901559.389349
2013-12-3175.26404875.72940574.84305575.320516695149668.147179
2014-12-3177.27452477.74004076.86440577.327381651561271.709712
2015-12-3172.56940573.06416772.03480272.491111904076968.831426
2016-12-3169.48134970.01964369.02349269.547063937164568.054229
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" + ], + "text/plain": [ + " Open High Low Close Volume Adj Close\n", + "Date \n", + "2012-12-31 67.158680 67.602120 66.786520 67.215120 9239015 59.389349\n", + "2013-12-31 75.264048 75.729405 74.843055 75.320516 6951496 68.147179\n", + "2014-12-31 77.274524 77.740040 76.864405 77.327381 6515612 71.709712\n", + "2015-12-31 72.569405 73.064167 72.034802 72.491111 9040769 68.831426\n", + "2016-12-31 69.481349 70.019643 69.023492 69.547063 9371645 68.054229" + ] + }, + "execution_count": 17, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Yearly Means\n", + "df.resample(rule='A').mean()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": false + }, + "source": [ + "### Custom Resampling\n", + "\n", + "You could technically also create your own custom resampling function:" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "def first_day(entry):\n", + " \"\"\"\n", + " Returns the first instance of the period, regardless of samplling rate.\n", + " \"\"\"\n", + " return entry[0]" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/html": [ + "
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OpenHighLowCloseVolumeAdj Close
Date
2012-12-3159.97000161.06000159.86999960.3300021266880052.619235
2013-12-3168.93000069.23999868.44999769.2399981039080061.879708
2014-12-3178.72000179.47000178.50000078.910004687800072.254228
2015-12-3186.26999786.72000185.55000385.900002450180080.624861
2016-12-3160.50000061.49000260.36000161.4599991198920059.289713
\n", + "
" + ], + "text/plain": [ + " Open High Low Close Volume Adj Close\n", + "Date \n", + "2012-12-31 59.970001 61.060001 59.869999 60.330002 12668800 52.619235\n", + "2013-12-31 68.930000 69.239998 68.449997 69.239998 10390800 61.879708\n", + "2014-12-31 78.720001 79.470001 78.500000 78.910004 6878000 72.254228\n", + "2015-12-31 86.269997 86.720001 85.550003 85.900002 4501800 80.624861\n", + "2016-12-31 60.500000 61.490002 60.360001 61.459999 11989200 59.289713" + ] + }, + "execution_count": 25, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df.resample(rule='A').apply(first_day)" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 38, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "df['Close'].resample('A').mean().plot(kind='bar')\n", + "plt.title('Yearly Mean Close Price for Walmart')" + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 42, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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BAFjHJ2UDvRrTiH4sye2r6hpJvpTkbknOSPKFJCclOXn478t3qkjg4PL1IAAALNPcRrS1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\nqjp6/4aqOrqqnph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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "df['Open'].resample('M').max().plot(kind='bar',figsize=(16,6))\n", + "plt.title('Monthly Max Opening Price for Walmart')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "That is it! Up next we'll learn about time shifts!" + ] + } + ], + "metadata": { + "anaconda-cloud": {}, + "kernelspec": { + "display_name": "Python [conda root]", + "language": "python", + "name": "conda-root-py" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.5.3" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/06-Pandas-avec-Time-Series/.ipynb_checkpoints/Rolling et Expanding-checkpoint.ipynb b/06-Pandas-avec-Time-Series/.ipynb_checkpoints/Rolling et Expanding-checkpoint.ipynb new file mode 100644 index 0000000..1dafd7c --- /dev/null +++ b/06-Pandas-avec-Time-Series/.ipynb_checkpoints/Rolling et Expanding-checkpoint.ipynb @@ -0,0 +1,671 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "___\n", + "\n", + " \n", + "___\n", + "
*Copyright Pierian Data 2017*
\n", + "
*For more information, visit us at www.pieriandata.com*
" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Rolling and Expanding\n", + "\n", + "A very common process with time series is to create data based off of a rolling mean. Let's show you how to do this easily with pandas!" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "import pandas as pd\n", + "import matplotlib.pyplot as plt\n", + "%matplotlib inline" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# Best way to read in data with time series index!\n", + "df = pd.read_csv('time_data/walmart_stock.csv',index_col='Date',parse_dates=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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OpenHighLowCloseVolumeAdj Close
Date
2012-01-0359.97000161.06000159.86999960.3300021266880052.619235
2012-01-0460.20999960.34999859.47000159.709999959330052.078475
2012-01-0559.34999859.61999958.36999959.4199981276820051.825539
2012-01-0659.41999859.45000158.86999959.000000806940051.459220
2012-01-0959.02999959.54999958.91999859.180000667930051.616215
\n", + "
" + ], + "text/plain": [ + " Open High Low Close Volume Adj Close\n", + "Date \n", + "2012-01-03 59.970001 61.060001 59.869999 60.330002 12668800 52.619235\n", + "2012-01-04 60.209999 60.349998 59.470001 59.709999 9593300 52.078475\n", + "2012-01-05 59.349998 59.619999 58.369999 59.419998 12768200 51.825539\n", + "2012-01-06 59.419998 59.450001 58.869999 59.000000 8069400 51.459220\n", + "2012-01-09 59.029999 59.549999 58.919998 59.180000 6679300 51.616215" + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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2PJsZQHjG6Fee3BJ1eyL2iKrft83pg0EnMK0gHf/dUYVbn9kGi0GPaxeVwKjnOX0iooHg\nuycRERHF3YlmJwBgfA8jW2KRiNJcIBwAF6RbcPGsAgCAlEon3wM1HQlZExHRSMBAlIiIiOKuQg1E\ns3ue2am6aFah9nVuWriMNx7jW2KhzhIdk2nBhTML8Mj1C/Dat5YBAPbVtCdkTUREIwEDUSIiIoq7\nqlYnbBYDMvpoVjR/bCbuOH8KAOCMCdkQQrk+YRlRkxqIWiGEwJXzxmBOcQZMBp0WXBMRUf8xECUi\nIqK4a3X6kJ168tEtKp1OiT7HZqdgYo6SQRUQcVvbyailuUUZVu06nU5gXHYKyps7e3sYERH1gYEo\nERERxV27y4dM68mzoSq1AdDU/DQ8+Pm5mJqfhkl5Jy/pjZfI0txIE3JSsamsBc0OT6+PPVJvx8UP\nr8OfPzoa1zUSEQ1HDESJiIgo7tpcPmT0Mrqlq6+dPRH3f2Y2Pnt6Cc6YkI0Pvn8uUs2JG98CRGdE\nAWWN7S4f3t5XF3W9lBLHQ3NH1x1pxOF6O373/hHOHyUi6oKBKBEREcVdh8uHjBgzohajHjcsGQ+9\nLjHluJGsRuVQqajL2Jklk7KRbjHgYG1059wXt1XhvN99jC3HW7ROwQDQ5mQgSkQUiYEoERERxV2b\n0xtzaW4yUfeIqvNNVUIIzByTjk1lzXD7Atr16481AQAqW5xRe0g9/uAQrJaIaPhgIEpERERxEwxK\nlDY60N6PjGgyKc6yojDdgsweuv1+ddlElDV24q4XdyMYlAAAh9sHADAadDjR7ERaqKTYy0CUiCgK\nA1EiIiKKm1Xry3DB79ciKIE8mznRy+m3W5ZNxOofnAshupcJXzyrED+6ZBre3FOLtUcbAQB2tx8A\n0NrpRVWrE6cVpAFgRpSIqCsGokRERBQ3de1upJj0+OuXT8e1i0oSvZx+M+h1WlazJzefNQFCALsq\n2gAA9XY3AOCjQw0ISuC0AhsAJSN6rMGBX799EL4Ag1IiIgaiREREFDduXwA2iwGXzilCiikxnW/j\nKcVkwOS8NOyrbsfB2g5UtrgAAGuPKBnSKflqRjSAJz45jlXryvDc5oqErZeIKFkwECUiIqK4cfkC\nWsOfkWpaoQ2ljQ68uK0KRr3odhuglOaaQreVNjqGfI1ERMmGgSgRERHFjcsbgGWEB6ITclJQ3uzE\nS9srsXJGQdRtarddrz+IJocywsXlDXR7DiKi0Wbk1cgQERFR0nD5ArCaRnYgOj4nFQDQ4fbj6vnF\n6PQGsC5UmmsOBeFPbyzX7u/0MRAlImJGlIiIiOLGPQpKc8dlp2hfl2RZ8cwtiwEAM4rSYdIrh1o7\nK9qwM9TQyM2MKBERM6JEREQUPy5fAOmW4Tc/tD+yU03a1zaLcmh16FeXQCcE3P5w0Jli0sPpDcDJ\nQJSIiBlRIiIiih+XNwDLCC/NjQy01VEvFqMeJoNOy4gCwI57L8RZk3PgYmkuEREDUSIiIoofty84\n4ktz063hArM0S3SxmdkQPtSyGPWwWQxwMxAlImIgSkQ0HDXY3fD6g3h7by0qW5yJXg5Rr0bD+JbI\nn89siP5ZhRDd7svSXCIi7hElIhp2gkGJy/64HjOK0rH+aBOm5Kdh9ffPTfSyiHrk8o78rrldg82T\nsZoMWmnuc5srsGxKjtZ1l4hoNGFGlIhomClr6kSTw4v1R5sAAHXt7gSviKhnUkq4fCN/jmh/WI16\nuL0BODx+/M8re/HlxzcneklERAnBQJSIaJjZW62MgBifo4yMyEkznezuRAnj8QcBRO+THK2WTMoG\nEOqc6wugvkM5gVTV6sL3/70LUspELo+IaMjxk4GIaJjZU9UOq1GP/9y+FOkWA7yhg32iZDOaAtHp\nhTZMyuu5xPbw/Zfgn187EwBgNekRCEocqrVrt7+8sxoby5qHZJ1ERMli5H8yEBGNMPuq2zFrTDoK\n0i34ytIJqO9wIxBkNoWSjyc0Q9M8Ckpz3/3ecnz0gxU93mY26GEIjXFZPjUPJoMOP3ppd9R9nt14\nAo98eBQ1ba54L5WIKCkwECUiGkaON3ViZ0UbFk7IAgBkpZoQlIDd7Uvwyoi6U7P1Zj0PN1RzSjLw\n6JdOhzuikuHCmQV4Z18dfv/BEfzqzQMJXB0R0dCJ6ZNBCHGnEGK/EGKfEOJ5IYRFCJEthPhACHE0\n9G9WvBdLRDTavbOvFv6gxNeWTQQAZFqNAIB2FwNRSj5aaa6RgWiklTML8Mj1C7TLP75kmvZ1mpkD\nDYhodOjzk0EIUQzgDgCLpJSzAegBXAfgbgAfSimnAvgwdJmIiOLoWIMDhekW5KdbAAAZoUC0ps2N\nlX9Yi/f21yVyeURR1IyoiRnRbi6bU4S9912E9+9cjin5NlwyqxBA+G+aiGiki/WTwQDAKoQwAEgB\nUAPgagBPh25/GsBnBn95REQU6ViDA1Py07TLmSnKQeuL2ypxrMGB7SdaE7U0om6YET05m8WI0wps\nAIBHv3w6slNNsLv9CV4VEdHQ6POTQUpZDeB3ACoA1AJol1K+D6BASlkbulsdgIK4rZKIiCClRGmX\nQFTNnry8sxoA2OiEkoq2R9Qw8psVnSqdTiiBqIdl9kQ0OsRSmpsFJfs5EcAYAKlCiBsi7yOV4Vc9\ntmwUQtwmhNgmhNjW2Ng4CEsmIhqdatvd6PQGogPRlOgyvrp291AvK2lJKXHLU1vx2q7qRC9l1FK7\n5ppGwfiWwWCzGLplRKWU2FTWjCA7YxPRCBPLJ8NKAMellI1SSh+AlwGcBaBeCFEEAKF/G3p6sJRy\nlZRykZRyUV5e3mCtm4ho1DnW4ACAHjOiADCnOAO1DEQ1Hn8QHx1qwHdf2IV/fHo80csZlTy+0TNH\ndDCkmQ3o6BKIvr67Btet2oTVB+sTtCoioviI5ZOhAsASIUSKEEIAuADAQQCvA7gpdJ+bALwWnyUS\nERHQcyBqNuhx/2dm4yeXTsc5U3M5UzRCR0Qn4V+8cYC/lwTwBkLNihiIxiTdYowaxRQMSvxlzTEA\nwK7KtkQti4goLmLZI7oZwEsAdgDYG3rMKgAPALhQCHEUStb0gTiuk4ho1DvW6EBmihE5qaao629Y\nMh63nzsZRRkW+IMSzQ5PglaYXLqOtNlf056glYxe7+5Tujhzj2hs0q1GtDvDr9v3D9TjSL0DRr3A\n3uq+X78NHW64vIF4LpGIaNDEdIpSSvlzKeV0KeVsKeWNUkqPlLJZSnmBlHKqlHKllLIl3oslovhy\neNitMdlIKfHH1Udx69PbsK+6HVPy0qAUp3RXlGEFANSwPBcA0BHKLP3u2nkAgA2lzYlczqjj9Qfx\n+u4aAMyIxqog3YzmTq+2t/bVndUoyrBgxbT8PsvufYEgLv3jevx5zdGhWCoR0SnjJwMRAQD2Vbdj\n9s/fw9t7a7vdVt3m0rpf0tD65+YKPLz6CFYfrMeeqvaostyuCjOU2aK7WcIHIJwRnZyXiin5adgY\nEYh6/AHc++o+lDd1Jmp5I16r06t9zT2isRkTOpnU0KFUNbQ4vRiXnYI8mxltEb/PSOVNnfjBf3Zj\nU1kzmju9qGtnRQQRDQ/8ZCAiAEogCgBrDjXgxy/twb2v7oOUEve/eQDLHvgIP311b4JXOPrUd7jx\n23cOITuiFPdkgWhJlnIQ+/PX90NpZj66dbiUDH+G1YizJudga3kLfKE9i58cbcKzm07gq09tTeQS\nR7SWTgai/VWUqZxMUscwdbh8SLcakZ1iQqvTh2BQosHuxhu7a7S/8Xte3Yv/7qjCQ+8dBgB0srKF\niIYJfjIQEQBArfZssHvw4vZKbC1vwe/fP4LHP1G6jR6pdyRwdaNPQ4cbD75zCN5AEE/ctEi7/mSB\naGaKCVfNG6M83h5bVqTZ4dFOQow0amluhtWIpZNy4PQGsKdKyRavPqg0eudBe/y0RgSiLM2NjVpe\nX9WqBKJ2tx/pFiMyU4wIBCXsbj8ufngdvvP8Tm3PqC705r2nSrnMLRZENFzwk4FoFJNS4sVtlbC7\nfRBQDmbWHmlEUCpldasP1mPppBx8YVEJatpckFLiJy/vxRn/u7rHEl4aHGsON2Dxrz/EyzursWJa\nHuaPzdRum16YftLHXnfGWADA0T5OHASDEt99YScW3r8aVzzyCY6PwBLVimYnDDqBdKsRZ07KAQBs\nK29Fu9OHV3cqs0V1vey3pVPXElFKatLzcCMWE3JSkJNqwkeHlRMlSkbUoFVFVLQ40RpqZtQW+rfr\n79bOQJSIhgl+MhCNYu/tr8cPX9qDv6wphdsf3WmxtdOHdpcPxVlWjMm0osHuwau7qvH8lgo02j34\n5r92JGjVYU9+chzffq77Oo7U23GwtiMBKxoch2rt2tfpFiOEECjKsGB2cbq2D7Q3pxXaAADbTnTv\nHyelxLbyFry4rRKX/nE9XttVgxXTlPnOVa3OQfwJEk9KiXf21WH5aXkw6nXITjUhw2pEZasTz2+t\ngMsXwMLxWVqpLg0+NSP6yPULem2wRdEMeh0unVOIDw/WY+2RRtg9SkY0KxSIfhAxS/RYgwPtTh+M\nEYHo5LxUZvmJaNhgIEo0im0obQIAWIw62COGqE/KS4U3EERtuxvpFiPGZCrlYnf+e3dC1tmbX755\nAG/uic7MurwBXPx/63DpH9ejsmV4Blc2i0H7OtWsfL3mrhV45ZvL+nxsbpoZZ03OwUvbqxDsMjdz\nT1U7Pv+3jfjhS3tgd/vwx+vm494rZgIA/vpx6Yias7mjog3VbS5cOa9Iu64ky4oTzU48vaEcSyfl\nYG5JhjbnkgZfTbsbep3ApbMLE72UYeWqecVw+4K46cktAKDtEQWA90LjcADl/e+LqzZCIvx3u2Bc\nFhxuBqJENDwwECUapR567xCe2XgCAKAXImpf0YUzC7Sv060GzB6TMeTr6w+nV1n7qnWlmPGzd6H2\n6SlvHp7lppEZDTUotRj1UZmPk7l+8ThUtbrwybGmqOvV8tsnblqEj+5agavnFyPPZgagjDb5+/qy\nwVh+Unhjdw3MBh1Wzgi/lkuyrNhY2ozadjeuWVAMk17HjGgcbT3egrklGTCwLLdfFo3PirqcbjEg\nKxSIHq6347SC8D7xQ3V2vLc/nCW1WQzcI0pEwwY/HYhGkWBQ4u7/7sG+6nb8ZU2pdn11mwt//Th8\necHY8IFQusWI6aFyTwCYNSa8R/GpT4/HecWxaejwoMPtw6/fPgQA0IWqADs9w2uwu5QSUkqtyQ4Q\nzoj2x0WzCpCVYsQLWyuirq9pVxqgLJ2cA4tRDwCwRTz/wx8cQWOMTY4Sze0LwO3r+f+v1x/Em3tq\ncd60fNgsRu36kqwU+ENZ33E5KTDoBXyBkZMFTiZOrx+7q9qwJLQ3l2Kn0wn88upZ2uXMFBOyUsOv\n4/Om52tfR3YjvnHJeNjMBnR6/d2qIYiIkhEDUaJRpNHhwQtbK/H5v22Iuv6tLuWtY7Ot2tfpViN0\nOoEXbluC9+9cHnW/+944AJc38cFefYcblzy8Trv8p+sXAAhnSoeLq/78Kc5+cI02dgQA0gYQiJoN\nelwyuxCfHI3OiNa0uZCVYkSKKfyckXv3PP4gPjnWOICVD72zH1yDsx/8qMfb3tlXiyaHB9ctHht1\nvTreBgCKM60w6nUIBCUP2nshpcRru6p7Dfh7s7uyDSt/vxa+gMSZE7PjtLqR7StLJ2hf59vMUe8D\nSybmaCfbLpoVLnv+1WdmI9VsgJSAs5//z4iIEoGBKNEoogaNbp9SjviPm89ASZZV67KYlWLEy988\nCxNyUrXHpIdKQ5dMysFpBTZ07Tny3x1VQ7Dy7iKDzONNnahpdwMAvnXeZCwOHfw6kyBI7o+91e2o\nbnOh3RXOiA4kEAWAibmp6HD7teeqa3fjk6NNKMlK6XbfJ29ehFe+eRayUoxYf7QJFc3OqKxsMmpy\neNDk8PZYWru1vAU2iwHLp+ZFXR/5sxdmWLRSZ1+Q5bk92V/Tge++sAsrHvoYX3hsY8ydlW9/drv2\n97hoAgPRU5Wfbo46YTRrTDrUcydLJkX/flNMSqVDMpwgJCLqCwNRolEksiGRTgBnTMzWAp1zpuZi\n588uwunjsqLKQdOtxqjnuPXsSQCArfesxNySDDzxyfGEZJRe3lGtff3Au4e0r1PNBi3jN9wyoqrI\nIHCgDYR1MS27AAAgAElEQVTGhoIutWHTT17eg0a7B3dfOr3bfc+fXoAF47Jw1pRcfHqsCcsfWoPr\nV20a0Pcdaofr7N2u21fdgVlj0qHTRZ81Kc4MZ0SNep029oLluT1rDnW9retwY8txpdtyLFojxrYM\n9EQKheWmmaMuq/u61dvuuWwG/nHzGQCgldz3N4tNRJQIDESJRhF7RIAzc0w60swG7Qx61xK6K+YW\n4bSCtKgZlgDwmQXFKH/gcuTZzPjS4nE43tSJ0saTz6wcbP5AEI+uOYaF47Pw3veWa/tWL59bhFuW\nTYQ1dDA2nDKikQ2Ktpe3al+7BnhAOTZbCUSrWp1wev349Fgzrls8Dsum5Pb6mLOn5KK+Q9kjur9m\neIy/icweA8pr41BdB2b10GBrQm4KjHqB+65UOgUb9Uqg6vMzI9qTptB+4V9fMwdLJ+Xgw4MN/Xr8\nl88cF49ljTpq5j4rxQidUMrp1e0TVqMeX18+Sds3ykCUiIYTnqqkpOQPBPHS9ip8bmFJzJ1CqW8d\nERnRReOVwFPNfp7RpYTukdA+y5PN/1s6WWlEsul4C6YW2Hq936k61mDHuiNN+OqyCfjjh0dhMuhQ\n0+7GfVfNwrRCG/516xLUd7hRkB6esWkx6oZVIFobaiQEKAPpn7hpEZ7aUI4r544Z0POpgeg3/rkD\nl84uhDcQjOog25OzTxKkJgMpJTaVtWDRhHAzra4dQsuaOuH2BTG7OL3rw5FiMuDI/Zdqr2mDlhFl\nINqTJocSiF41fwxanV489N5hNDs8yOmSoYsUCEp4/EF849zJ+NHF04ZqqSPSjUvGY39Nu3b5kx+f\nrw1qefBzc3H7s9sxc0z061w9CTfQE1hEREOJgSglpbf31eHul/eipt2N7194WqKXM2JEZkTVg/k0\nswEmvQ7zumQ+YxlAPy47BVkpRhwIZc/e2lOLt/fW4i9fPn0QVw18+7mdOFRnR1BK/N/qowCUhkoX\nRARWkUEooOyDXbWuDN84dzKyQ8Pgk1mjPVzOeOnsQlwwoyDq5+uvjIiS6nf21WFyXmq3/WRdqcFr\nstpyvAXX/30T7roo/J7QdWbi9hNKNrmnjCgQ/bpWS3NjmSXq9PqxsbQZ50/Pj+lvYyRocnhgMeqQ\natLj9HHK+8WB2g6c02XvbSQ1AMpONXYrjab++dVnZkddjtwycdbkXOy97+JujwlnRHlyhYiSH1NN\nlJTUA8RNZc0JXsnIYu8hI3r1/DH47sqp2gFMfwghMDE3FceblNLcV3ZW4a29tYO6N9PjD+BQaB/g\n/W8d1K6/4czx0MdwoNt1hEmyUvfV5aaZ8MM4ZJK+snRCTAHUTy+foX090P2p8XKgVjnh8WjEqCGH\nRxlVUdboQJvTi0c+PIrphTZMyUvr7Wk0RoPy+/DHsEf0lZ3V+NrT2/Dx4eHRVXgwNNo9yE1TGuWo\nJfx9ZY/Vv/3Izsw0dKwm5bOTGVEiGg4YiFJSCkrlwPBQ7fDYpzZcqIHoZxcUozBDySBeMrsI3zpv\nyoCfc0JuKsqbnJBSYlelUkZW3erq41Gxq2lTum/euGR81PUXzowtW9jQ4YHT64fHn1wHZm5fANf+\nbQO+/dwOuH0BPBhquPTWHedgUgxBVH+kmvT47OnFMd331nMmaTMMmx3JNVP0aIMDBp2IKrl2ePx4\n8tPjOP/3a3Hdqk1odHjwwOfmxpSNM/ajNPdYg3Ky5U8fHYWUyRWgx0tZUycm5iodtNWTPn0F7c7Q\n7F41cKWhZTZwjygRDR8MRCkpqa3nO9x+7t8aRHa3D1ajHn/44vxBe86JOamo63CjtLFT21NW1TZ4\ngaja9fWKuUXadeNzUrQD5L5sOd6CmT97D1c98umgrWkwVLU6sbW8FW/uqcXPXtuHE83Kz5mZYuzj\nkbFbc9cKPPDZOXjy5jNgs8T+vEUZSiOUug73oK1lIEobHdhyvEW7fLyxE3NLMqL2sjo8fqwPzUs9\nVGfHvVfM7NZgqzdqILr5eAt+8vJetHR6e72vOrpkZ0UbNpYOvFJDSon7Xt+PRz8+NuDn6I9DdR24\nftWmbntp+9Lh9mFPVTum5CsnRQyhxk7BPoJw9SQBM6KJYTUxECWi4YOBKCUld0T2qqfxDDQwDo8f\nNsvgHiBOzFMCwtd3hcepVA1iRvTxT44DiN6/+MGd5/ZZZrr6++fiujPGauWch+uT63UUWSb9n23h\nWaxqRmMwTMxNxXWLx+HMSTn9elxButKMRu2gmygX/H4tvvDYRu1yvd2Nogwr7r50OiaHXnf17W4c\nDf2//fzCkm6Z85NRtwD89NV9eH5LBdYf7b3strypEytn5CMn1YQXtsY2xqQrty+ApzeU46kN5Xhr\nT+2AnqO/XthSiY1lzSetLjnW4OgWuNzx/E4AwPRCpQmZPvT35u+jXFstzU01MyOaCFZ2zSWiYYSB\nKCWlyEYLQz0aZCSzuwc/EJ2QowQEr+2ugUmvg1EvBq00V0qJdUeU4KAg3YKnvnoGbj5rAkyGvt+6\npuSn4eZlE6KuS6aDs8hAdOH4rJPcc+ipjZ/qE5gRbXeGG2uppbANHR7kp5sxuzgDH/5gBcZlp+Dl\nndWo63DjhduW4KHPz+1XIyE1y6fqLSPqCwRR2erC9MJ0nDUlF1uOtwyoPPeWp7bivjcOAFDG41y3\nSgmyX9hScUpZ1t5IKfH+/joAwI6K1m63B4ISlS1OrPzDWnz7uR3a9Q0dbqw70ogp+Wm4er5S0q2W\n5va2b3hjaTOW/3YNKluVzD4zoomh7vV3DaOO4UQ0ejEQpaQUGTCoJXF06jrcvn6VaMZiQqhE9kSz\nEzPGpGNMphXVg1Saqzbc+PEl06HXCayYlo/7rpoV8+OnFdgwJiPcTXcwM7WnSg1Er1lQjEe/fDpm\nFqUjaxDLck9FTqoJOgHUDGKJdX9VhEqyAaVE/ycv74XD44/qjpyVakKa2YAnbj4DSybl9LubrVqa\nazHqoNcJNDt6DkS//sw2BIISE3NTsXhiNuo63Khs6d/v5mi9HRtKm2HQCdywRJmvuamsBX94/zDu\nfnkvrv/7JjTaBzcDvb+mAzXtysmEX799CCeao99Lf/XmAZzz2zUAgNURM0Jf3F6FoAT+/pVFWmBj\n0Cm/q94C0T1VbahoceLFUHafe0QTQ8uIcjYuEQ0DDEQpqby1pxbPbjoBty8AIYAxGRaUMxAdNPHI\niKaZDcizKaWc80oyUJxpRVWrs49HxaYz1PgkbYBlfkIIrAgNegeQVA2L1FE6d108DQXpFrzxnbOx\n9Z6VCV6VwqDXYeH4LLy8ozphWeRGRzgb2+Tw4PktSvdjfUSw+ftr5+Gd756D86bld3t8LNRANCvF\nhKwUE5o7uweClS1OrVPu+JwUnDlR6Ta9+Xj/MpjqHuCX/t9ZUaN1/vRReK/oT1/d278foA8fHKhH\nZM8mteGS8rUdz2460e0xwaDEv7dWYsmk7Kh92KE4tMfS3Fuf3obfvKM029oQyuymMiOaEOZQtQgz\nokQ0HDAQpaTyred24N5X98HtC8Bq1GNKgU0b3UGnzu72DXogCkA7YJ1XkomSLOugleZ2ek59FMTV\n88ZoX3tPMUvwm3cO4sYnNgOA1phpoNSMqPr/Q68TMOiT5y35+xdOQ12HG89u7B6sDIXI7GBkifBF\ns8Ldkqfkp53S7FNDKEpLtxiRk2rqMSP6yk5l7/OZE7MxuzgDU/LSkG4xYFdlW7++l/p6ybOZtfmw\nep3Aw1+ch32/UOZBqsHqYPn4cANOH5elzdEtawyf1HvgnUPdspsOjx+T/udtVLQ4cc2C6C7LXTOi\nz2wsx/NbKuD0+rH6YH23721lRjQhdDoBs0GXVNsQiIh6kzxHPUQRXL4ALEY95pVk4GiDY1DnUo42\nDXY33t2n7BOzu/2wmQe//HNiaJ/ovLGZyEkzoy1if9/DHxzBsgc+wj83nej3vrpOrfHJwAPRMyfl\n4F+3ngng1APRx9aWYf3RJvxnWyUW3b/6pM1teuPyBrDyD2vx4vZKCAGkJWnmaOnkHJwzNRePfnxM\ny94OpchA9JkNSjD84OfmYHxObN2SY6GWfmdYjchJM3U7uSClxMs7qrB0Ug7+fftSWIx66HQC43NS\n+13mrf48uWkmnD4uC+UPXI7SX1+GaxaUIM1swHVnjEVTL6XBA+EPBHGwzo7Tx2dhx70XIjvVhLLQ\nvN9r/7YBqw82RHUfBpSuxKrZxRlRt2njW0KB6M9e24+fvLwXb+yu6fH754SCXxp6GVYj2l1D/zdL\nRNRfDEQpKbl9QVgMOswryUQgKLG/hvNEB+pb/9qBb/xzO1o6vXEpzQWA82fk4+wpuZiUm4o0swHe\nQFArg91f047qNhd++uo+rAuN2YhVuDT31NasNjfy9TEDsS9qBu3v68oAQBsb0h8PvnsIxxocOFLv\nQJrJENO8y0T50cXT0er04ZkEZEXrOtxIMxswrcCGd/fXYW5JBi6cWTio3yM3TSkpv3BmAcZkWlHZ\nJbjcfqIV5c1OfG5hSdT1JVnR5ed2tw+H6k7+HtXk8CDDauy1K3JJlhVNDs+glVSWNzvh9QdxWoHS\n9XZSbipKGzoRCEpsLVcaF91xwdSox6w5HN4nOrnLLFv1tR/skkX9yct7o/4+f3jxNPzza2cm9et6\npMuzmfHC1krs7mfWnohoqDEQpaTk8gVgMekxd6xyVp4fqANXG2pWcqCmAy5fYNCbFQHAxbMK8c9b\nlYNPNdB1hEpP7W4/xoXKJ/u7d1QtzT3VURDqmA5v4NQO8ouzlPmaaiOdyM6usWh2ePDUhnIAwIwi\npbFTMptTkoElk7Lx4rbKAXWJHahGuwev7azB4onZePymRfjP7Uvx2reWaSWmg2VKfho23H0+bj1n\nIiblpaLR7onK/v53RxVSTHpcOjs6AFYCUZf2O7nj+Z245P/Wo7LF2WuX70aHB7lpva9fndd5oLb9\nVH8sAOH3zBlFSiA6OS8NZU0OtDqVrOt9V87EhNzosuY/fHAEAHDT0vFakyKVrktGVG2sZbMY8eI3\nlgIArpo3Bt86bwrOnhqdaaWhpTaKuuOFnUm1L56IqCsGopSUWhxeWAx65NssKM609ns/FoWpJXJq\nADRrTHpcv58aiNojAtGx2UrA1dbPwG0wSnOBcEb0VEtzPaGxQp7Q8/S3/C2y9PKNby/DS/9v6Smt\nZyicPSUX5c1O7WceCr999xBcvgD+57IZGJudgsUTs/vdETdWYzKtEEJgUmifc2SX7k+ONWHFtLxu\nr79x2Snw+IOoC+1dXRNqZnTOb9fggt+v7fF1VtHiRHFW7/tZz5yozHrdWNoMp9cPfyD233e704fH\n15dFvR4/OtyAPJsZMwqVv/dJealocnix5XgLACDXZkZWSjgwfvZri5GdasLkvFT84urZ3b6HQRvf\noqyr0xvAyhkFePM7Z2NGUTqO/+Yy/On6BTGvmeJHfe890ezEE6E5zEREyYiBKCWlihandlZ33tgM\n7K5iIDpQaing6oP1SLcYsPy0vLh+v7TQHlSHx49jDQ40d3qQl2aGxahDm7N/e+DCGdHBCURPNZjq\n7LJXuSPGvZOVLU48+clxrXzzsRsXwqDXxSU7PdjUskv1/0W8tbt8eHF7FW5cOl7LEg6FOSWZEELp\nNAsATq8fVa0uTCvofuJmSr6SZTxa74A/ENT2T6r2VkdnNYNBidKGTkzJ6/3nyUo1YWZROjaUNmPm\nz97DHS/sjGndxxrsuOLP63H/Wwfxm7cPaln6/dXtWDwhW8tkXjanCDmpJnzzX8q80JxUs9Y1GFD2\nd2+9ZyXe+97yHr9P5B5RXyAIrz+IuSUZWrOoeJ0ooP5TT0hML7Thzx8dQ1174uYBExGdDANRSkrV\nbS6cFxq7Ma8kE5UtLjSfYpfS0aolIvi7dHaRFpTFixq4lDY6sPIPa1Hf4YHNYkRWigmtERnRFQ+t\nwZWPfHLS53Koe0RPsaGPVpp7CoGolBJObwDFEeW0jhiDs8fWleKXbx7Ad1/YBQCYMIgNd+ItVQtE\n41PiJ6XEbc9sw7ojSlaxI3QQPaMovpn7roozrVg+NQ+v7arBC1sqsOyBjyAlMLWge/CoXnek3o42\nl69b99lNZeHRLk0OD57eWA6XL9BnYH3W5BxsO6Hs33x7b11M6374g6Nod/owPicFL2ytxPxfvY//\nbK1ETbsbJVnh1+rY7BQ89/Ul2uU8m5INzQyV2KaaDCft3KyP2CPqDL0WTvUEEcXHTy+fiTybGX/+\n0ulwegN4aXtlopdERNQjBqKUlEx6Hb54xlgAwPTQAWkZ54kOSGQAf2XEKJN4UUtzj9SHx+6kmPXI\nTDFFZUTLm53dMkdd7a1qQ4bViLRTbLCkleb2o9yxK48/iEBQ4sxJ2dp16j7Yvuytasfs4nBglXOS\nvYLJRj2xEGvQDSjBZaz3d3j8eP9APW55aiuAcNa66x7FoXD+9HxUtDhx98t7tZMmarOfSLlpZhRl\nWLCprEV7TV8b0dBoc6j8ta7djbMe+Ai/eOMAxuekYNmUnJN+/6WTc/p9sqS23YU5JRn46lkTAABS\nAve8uhdef7DbHuRphTZcv3gcAKAg3QIAePe7y/HYjQu7ZXW7Uue3+oMyXDLPES1J6fK5Rdh6z0pM\nyU9DZooR9R08iUtEyYmBKCWly+cWaR0tC9KVfxv4YdpvXn8QbS4f5hRnYPlpeVgSEUTFixqIljeF\nGxN1evyheYMNONbQczOXZQ98hNue2Rb1mPf21+OyOUV9HiT3ZTAyos5QN9M5xRnaAbg9hmArEJQ4\nWGvH0knhICRyb16y0zKiMYxQ8gWC+OvHpbjw4XWYc997OFrf9wxgdd+wWkKqzj80xzlz35PL5hRh\nxbQ8/O7aedp16t7Rri6ZXYh1RxpR2eLSHnv53CJML7RhT1UbKpqdeHx9Gbz+IB67cSE+vmtFn6Nn\nFk/M1l7rFmNsP39zpxc5qWYsmqD8besEtKZOxT00w/r1NbOx5Z4LtLLwwgwLLp7VdzdinU5AJ5TX\n82CVzFP8Zaea0NI5eGOBiIgGU5+fdEKIaUKIXRH/dQghvieEuE8IUR1x/WVDsWAauSLHAtx+7iTt\n6wKbcub+kY+O4oMD9WhzerGjojXm/XmjWV27G1ICNy4Zj2duWdxr2d1gyrAqB7iRDaaaHV4tENtZ\n0QpfD5nJ6jYX3g/tzwOUvXouXwCfmX/qWdzBaFakHnynmQ1YFpq/GMt8zVanF95AECVZKfj7Vxbh\nS2eOO+XAeiildsmIPrvpBOo7et5ztuNEKx589xAElMzcgdqeR5r88o0DeH+/UnqqdnFVM25ql89E\nZETzbGY89dXF+PzCEuh1Avk2c69jSK6YOwbeQBBfDWVy82xm/OVLp+OyOUVoc/rwmUc/xeOhRjHL\np+bFtIfSZjFiTmh+Z3qM+4eb7B7kppkxuzgD//jqGfjP7Uvx6JdPx6wx6ZhbktHt/kII5IfeU/tL\nrxOhjOjgjFWi+MtJNaG5kydxiSg59XlUKqU8LKWcL6WcD2AhACeAV0I3P6zeJqV8O54LpZHN5Q3g\nt+8dBgD8+JLpmF4YLmPMTDHCpNfhUJ0dX39mG+b/8gN89tEN+O7zsTXzGM1q2pVszVCOCclMMeHy\nuUWobgvPZLxq3hj87MqZAJTOsa1dztBHjgZR99u9uqsaxZlWnDHh1LO44Tmip54RTTUb8OcvnY47\nzp8Cty/Y53M22pWDwDybGRfOLMCvr5kz4DUkQmSzorp2N+59dV9U5jpSQ+hnVTOKFc3dx/X4A0E8\n+elx3PbsdgDQSmDV4FztTJyIjGikHfdeiI/uWtHr7QvGZkZdVvdaqmXXahZqdnE6rP0oYT1rsnLC\nRj2hczIubwCd3oD2Pc+blo9FE7KxcHw23rrjHOSnDyzg7I1eJxCMyIimsDQ36eWkmpkRJaKk1d9P\n+gsAlEoph366OY1YwaDEnf/ehb+tLQXQ/QBUCIHIZMI9l83A5xeWYM3hRn7A9qE2FIgWZQ7uAWlf\nfn7lTNgsBtjMBpQ/cDkunVOEFJMBKSY9mhwe7KgIZ0sDQYmOiL2WP3xpN1o6vdhwrBmXzC7sNSPV\nHwad8ho6lYyo+rvMTjXBZNAhM1Re21c32abQHl211Hy4UWe4quXVAFDV6urxvup+5JIsK/JtZm3e\naiQ1WFWpeyzVQNSdwIxopAyr8aQZP51O4Iq5Rdpltdw6JzX8//npWxbjP7f3b0TP186eCCAc2J6M\n+trKG6LXlkGngz8otfEgp7p3m+LPZNDhSL0DG0qbEr0UIqJu+huIXgfg+YjL3xFC7BFCPCmEyOrp\nAUKI24QQ24QQ2xobGwe8UIq/To8fP3ttH/YM0qiUQFBq5bav7arGyj+sxb7qdjy7Kfo8xqr1ZXh3\nf7hDpFHfPfBQ9zo9+7XF+PrySVgSKvMcqpESw8mxBju+98JOvLqzGv/71iHYzIYe94rFU77Ngj9e\nNx/fPn9K1PV5NjOe31KBb/xzu3adw+PXgpGCdDNe21WD776wE95AEDMHqXOqEAImvQ6eAWZEA0GJ\nu/+7FwAwMzSHteu81N5EZkSHo3CzooB2wqC3MThNDi90QgnKijKt2pzNSGpADwB/WXNM2yOqBaI+\ntVlR8rcweOjz8/CjS6bh8rlFWnZQ7UabbzPjnCm5SOlnx+ecNDPOm5an/R5ORi1/nzxEY270OoFA\nUGol6bGWD1PinD5Oydw/9Wl5YhdCRNSDmD/phRAmAFcBeDF01V8BTAIwH0AtgN/39Dgp5Sop5SIp\n5aK8vPjOL6SB2VDahH3V7bjhic14ZuMJvLG7ZlCe94pHPsFD7yvltjsr2nCswYErHvkE9766L2pY\n+6fHmjCzKB3/b8VkAOHmJZGevmUxrl88VivTtIayJS5ffEZKDGc/fGkPXt1Vg+/9exeKMix4/rYl\nCepAWoDbz50cdZ3d7YfTG8C8kgzcsmxi6DqfVp75v5+ZgxlFNqw/qpy9n1bYvWPpQJkMugFnRNcf\nbdSCKvXgu7+BaO4w6pQbKdVsgE4os1DV0SrqPs6umjs9yE5V9lVajbqogPW1XdXYWt6C6rZwcPrQ\ne4dxMLSPVE18q8+tzr9NZlaTHt9cMQV/+dLp2h5QNSN64cyCAWfzLUa91rSpNw6PH/e8shfpFgPm\n9bAXNB7UQFQ9IcFANPndvGwiLp9ThE1lzdgeGg1ERJQs+nPK+VIAO6SU9QAgpayXUgaklEEAfwew\nOB4LpPhyeQP40t8344pHPsHOijbYzIZey+76sruyDcse+AgNdjeklDhab8c/N52AyxtAgz06MxI5\nT7K8uROT89O00sXGHuaFjs1OwW8+O1cLqNRsicvLQLQrXUQd88vfPAuzi4fmIDUWty2fhKvnj8EL\nty3FGROUIorIjGhWqlF7HQiBPucu9odJP/BAVB3H8fq3l2nX5YTW2VvjntJGBxweP8qbO5GVcvIy\nz2Rm1Otw1bwxeH5LBeralZ/VF5A93rfR7tUCbotRD09EMPXdF3bh2r9t1Lom3xfaM/zCVmXGocPj\nx6ayZvzm7UOhxyd/RrQnY7NT8JWl43FLqMR2IMwGXa9ZZykl/rLmGD491oQOtx83L5s4JE3IgHCz\nIjUjytLc4eE7F0yBzWLE5/66ARPufgtrDjckeklERAD6F4hej4iyXCFEUcRt1wDYN1iLoqGzvyZ6\njuOC8VlRTWb6Y09VG6rbXNhY2oxOb0DbS/T23tpuc8zUvZ1efxDVrS5MyEnB1fPHYGp+Gm4KzcM7\nGWZEe2eIyMIYh+gANVbfOHcy/njdAlhNeu0g1u72a6N5ctPM2n638dkpg5rJPZWM6OayZpw+LhNz\nS8INaibnKUFyaWPP42i++NhG3PKPrThYa8fUAltMXVOT1fWLx8HjD+L1PqolqttcKMpQ9iNHBlOR\nzajWHGrAjKL0qL/zL505Dm5fENet2qTtIbUMg4xoT/Q6gV9ePVt7fQzEyTKiVa0uPPTeYfzqzQMA\nlNmnQ8WgEwgEg+hw+ZFmNgyr7s+j2fTCdLz7vXO0y498eDSBqyEaWT4+3IB2F6c4DFRMR6lCiFQA\nFwJ4OeLq3woh9goh9gA4D8CdcVgfxVnXUp3iTOuAM6KNDiW43FoeHvIOAP/eWtktI/rWHuWAtrrN\nhaAExmWnIDfNjA++f25MB3CW0H6svsrXRqNkCz57o84xdLj9OFRnh9WoR0lWCnJDeymn5A9eWS6g\nHNw7B5BBd3r92FPVjjMj5oACStOirBQjdlW2RY0eApQGXE0OL7aUt2BXZRumDtEevnhZNCEb2akm\nfHIs3PCka3mulBIVzZ3arEyzQa8Foo6Ivdx7q9tx9pQcCCGw6saFOGtyDn5+5UycVhD9OzIP04zo\nYLAY9VEZ0SaHR9vOoDYoUt+nh3LvsU4oGdEOt08rTafhwWYx4smbFwHoefsLEfVfS6cXN/9jK779\n3I5EL2XYiumTXkrZKaXMkVK2R1x3o5RyjpRyrpTyKillbfyWSfHy4aHoEp3CdAtaOr144J1D/X4u\ntWPmtvJW7YNuTnEGtpS3oLLFhfE5Kdp9//TRMQSDEieaOwEAE3oZGt8bNVvCQLS74fI7UUtVO9w+\nHKrrwGmFNuh1SlMhIDzGYrBMzE3VykL7Y8eJNviDEmdO7D5GZsW0fLy5pxaf+9uGqDJxR6i7rJow\numZB8cAWnST0OoGVM6Izb80Ob1Sms7nTi05vAOOylb9zs0Gnlea2dirvB7ctn4Q1d63ATy6dAQC4\naFYhnvv6EpgNety58rSo5x+uGdHBYDbotL9jfyCIRfevxq3PbMMXHtuIax7dEHXfodx7bNAr41vs\nbh/3hw5D508vwN2XTkdZU6e2d52IBk7tm7C/pueZ2dS30XvKmdDa6cW28paofXjZoYOav60t7ff+\ny+ZQRvRwvR2VobENkTMg/++L86Pu3+jw4ERozuD47BT0hzqXj6W53bU4vUg16fHhD85N9FJOKj2i\nNPbV1csAACAASURBVLemzaUFMF9ZOh6/+ewc3BxDiXZ/zCiy4Vijo1+BeqPdgxue2AxAyQp29btr\n5+HHl0zHzoo2rYMpoGR5AeAXV83CmrtW9PjY4ebiWYVRl7/93A5ct2qTdrmsUT2ppPx/jMzqtYQq\nJJZMysbE3NQem/hcPKsQ/3PZdO3yYIztGa7Mod+dlFLLJn98uBFbQnuVAeVETmaKcUibOtW2u/Hq\nrhqsPdLIjOgwpX4mbytv6eOeRNQXtSTXF1HBsqOiNaohJ50cA9FRbM3hBgQlcOXcMdp1uanhs+vl\noWxlrJocHliMOkgJ/L9/KWUKs4vD4zcWjMvCK988S8uMVrU6sf5oE6xGfb/Ly9Q9orGMOBhN3L4A\nKlucuGHp+FPaozYU1D2iDo8fDk9Ay5DmpJlx/eJxgx6ILJmUg0BQ4uEPjsT8GHVP5LIpOT02G9Lr\nBK6cp2yXj/x7UYOHrFQTJvYz25+slk3JxYJxmfhmqLv1joo2HI3IMO+rVgpmZo1RmmNFZvVaQ3vC\n1VmbPdHpBG5bPrnX20cTdZayxx+M6sr8u2vnaV///MqZ+NqygTdEGgh1j/WEnFRcMruwj3tTMppT\nnAGrUY9NZc2D8nyby5qx4VgTGwfSsOcPBPHuvjoEgj034+uqtNGBJz45DgDwhgLPmjYXPvvoBryy\nszpu6xxpGIiOYqsP1iPfZsYZE8MjYLMjAtHjTZ3404dH8aOXdvf5XC2dXhys7cBFM6MPTuaPzYy6\nvGBcFh7/irJP5bnNlVh9sB6fW1jc70YuWrOiUfzh99/tVbjv9f1RGb5dlW3wBSQWD4MMnNWoh14n\nYHf70OnxI80c38zOOVPzcOOS8XhsXRne218HXwxnLD891oQp+Wn4161Ler1PUYYVJr0uKhBVg4fh\n2im3JxajHq98cxluWDJeuy7y729fdTvybWYUpIeaFUWMb2kOBaKR7y+9eeqrZ+A7XebPjjbh2a1+\n7aTGZxcU4/MLS7T7XLtoLL5zwdSErO+vNyzEredMSsj3plNjMuhwxsRsbCg99UC00+PHF1dtwpce\n34zvPM89cjT8uH0BOENbaf69rRLf+Od2PLauFK/srMKnET0RevLgO4e0k9UefxDtLp/WiFM9MUt9\nYyA6im053opzpuYhNWLgek7EfqNXdlbjDx8cwX+2VfX5XGqn3JuXTYAaU9510WlaNuimpeGD17HZ\nKchNM+G/O6pg0uvww4un9/SUJ6U2MhlNpbkefwC/e++w1gjqJ6/sxVMbyrGjItxwasvxFggBLBqf\n/IGoEAI2iwHtLh9cvgBShyBou/eKmSjJsuL2Z7dj6j3voLb95I25DtR0YE4f42/0OoFxOSk40eTU\nrlPHW9hG4D66ogwLfnn1LHxx0Vi4fAGtUdOe6vao35XZoIc/KOEPBMMZ0RgC0RXT8vGDi6bFZ/HD\nhDrCqMnh0QLRa05X9hk/cdMifOu8xGaOM6wj73U9mpw1OQdHGxynvE+0sjX8nrf6IEfC0PDiCwTx\nhcc24pwH12BTWTPWHGoEAPz141Lc+e/d+PLjm/HKziqcaO7UAkxfIIjadhfaXT58fLgx6vnm/eJ9\n/HeHcrx8sNY+tD/MMMZAdBTrcPmQn26OGpERWTr3wYH6mJ9LrZMfk2HFr66eDQC4bvE4CCFQ9uvL\ncN9Vs7T7Wox6rP/R+Vh140Ks+srCAR3UmA06CIGoOYUj3dt7a/HnNce00lK1TC6yA+LW8hZMK7Ah\nI2V4HCimmQ2oa/doX8ebyaDDvIgRLJ97dAO+8/zObl1vAaDN6UVdhxszivru3jshJ6XH0tyRuI9O\nCIGvLJ2AiXnKSSa3P4BOjx+ljY6ombXqHFBvIIgWpxdGvYBtBGWI40ndqtBo92j7jdW/jwtmFAzo\n5N1gSh+Br+vRZGmoA/hAy3Of21yBST95C6UN0dt3mAWi4WRPVRv2VLWjudOLLz++GasP1mNSbmrU\ndog7/70b5z70MU7/1QdweQP42Wv7sfQ3H+GVHVVaOS4A3BGqTtlfrTQtOljXEdXMj3rHQHSUcvsC\n8AaCSDMbtDJXQCmdu/vS6Xjk+gVR9++rjDGcATLghiXjceT+S7Wz+jqd6FZ6azXpcdGsQqyYNrAZ\neEIIWI16uHwBSClHxR/80XplP15ll/E6aiDqDwSx40QrFvfQ3TVZ2SxGbW7tUJWxTisMB5aZKSa8\nsbtGO5FS3tSJt/cqDcDrOpSRQyVZfTfSGpedikN1djy+vgwAugUPI1FkefyW4y2QEpg/Lhzkmw3h\nfdytnV5kpZiG9SzVoZQfEYjak/CkhmGYjIiins0akw6bxTDg8tyfvroXQQlsPh5+fJrZgL+sOTZY\nSySKu4pQU81Xv7VMe8+9cGYBfhGROIlU1uTA+/vrAABPfHocJkP4ffB7oUBUPW6wu/3asQ2dHD9N\nRqnIjI3FFH4ZCCHwjXMn48p5Y7BwfHjvaF/zF+1uP3QCSAl1s438A42XDKsRjXYP/ra2DBP/P3v3\nHSZXWf0B/Pve6X177+m9FwgJhFASQpMuShWw8MOOAqIiKiIWREWKCqIIiNI1tISQBAKk902yyWaz\nvc7uTu/398ct07bM9tnZ83keHnbvlL27m5m95z3nPefeDXFzDVON1BhmZ401al9op1iqe6TJBqcv\nGNWpONnNK7KgsklYQRyN0lwgOhD90llCsxebuJDyyLtH8c2X9oHnebkUp68GOxKp8dLP/lcJAOgS\nA9tULmGUOle7fEG8ub8RZq0yauROuOFOEFanL6H9oUQgZUSf216Dr7+4FwBg1KTuvyUyupQKDkvL\nMgbdOVcqIHlldz0m5xhR9fN1uGVFGd4+1IzjLb2XJO6p7YybXU7IWKmzCoHi9DwTFpYI17t5Fi1u\nOrMMd18obA959uYl8scNnW4oFUx+7EURDds4jkGvVsiBKEDluYmiQHSCiszYRGZEIz1y1VxcMDMX\nAOTN3L2xe/wwapSjmvGYV5SG3bWd+OU7wsxTaRRMqpKCT7sngN9trJKPS3tGD4klIQtK0uIfnKQ+\nv7RE/ni0sofTIwJRKVDsdvvhC4Sw9Xg7fMEQ7N6APPsykQDqi8uE7yNPbNTTavNCr1aMWnA9FqRF\np06XD+8dbsZFc/KjRolI+7h/v+kE3jvSgtAEqFoYLgaNEjkmDfbXh0sdjUmUESXjX3GGHo1dbvzp\nwxPyQtxAOX1B3LqiHCoFh1tXlEPBMbyxr/duoVf8aTuufGJ7r7cTMprqrC7kmITtaXkWbdRtX15V\ngf985Qysnp6Da5cUAxCSAUouHDYtKk3HWZOz5AacRo1S3jIFAEebaLZoIigQnaDCGVFV1B7RSJOy\njbh4njDaxentPyM62o1ZlpRnyCtaAFDd5ujj3uOfNxDC0vIMrJ+Tjye3nJSPd4qlubVWF9QKDvkW\n3Vid4oDNLbJgVoEw4me0LrSLxVLbHJMG5ohA9LNTHfLrwurwybMv0w39/7vOMWvx5VUVsDp9CIV4\ntNo9cqlPqpIWsP57oAlOXxCXzi+Iul36g/3ijloAiJpXTPr39jdW4tBPLpRL7fW9vE+Ppi+dVY5r\nFxeP9WmQYZBlVMPpC+KRd47hEXExNxFOb3hROl2vwhViE610gxpziyzYcLAZJ1opE0SSk9sXxJf+\nthN7aztR1+lCsTi//M7Vk/G5BYW4YoHQmVyp4OT535niYvSv3j2GNke4wVeuWYvnb1uG88SEjbSY\nruQYSjL0qGymQDQRtMQ6QTR3e5Br1sgZy8jxEipxv8/yiviSToNcftd3RtTmCYz6HqYlZelRn59s\nG9jc0/HGGwghTafCb66Zh/ePtMgb5aUS0rpOFwrTdVAM8/zNkcQYww3LS3HPqwflPcUjjeMY/v2V\nM1CYppNfB91uP3bVhEvGOpw+udNrmi6xktLCdB18wRBa7V602r3IMWn7f9A4JpXmPr21GrlmDZaV\nZ0bdLmVMf3rZLJwzLSels8MjIVN8Pbxw2zJYnb5hn6s7GD+8eOZYnwIZJpkR77cdDp/8Mc/zeP6z\nWmTo1Vg/Nz/uca0RnXZvX1URtZC9tCwDT22txnm/3Yqah9f3+rV5nqf94mRMHG+xY9PRVpxoc8Dt\nC8rbSTIMajx67fweH8MYww8umoGfb6iMynjmmKP/xkt/4wwaJWYXmrH7dCeCIV6+Jmuze/GLDZX4\nv3Mn4419jSjJ0OPKiJFcExVdGUwAHx5rxc3P7kRFlgE/WD8Da2bkRjUXAoAtd58j70uKpFeH59n1\nxe7xj3ogOjPfHPX5UFvRJzuvPwiNWEby1A2LcMvfdmJ2oRkH6rvhDQRxoL4L5VnjL+t07ZJizCmy\nyKN+RoO0j7a5W9jP0e32Y2NlC/LMWjTbPPjz1mqYdUqYNMqE9zsvKBYWRrZVtaHN7sXMAnM/jxjf\n9BFjn76xZmrcAsjqaTnY8PWVKf9zGGlKBRd3wUPIUGVGbDkIips+eZ7Hz/5Xib9+dAoAMK94dVyz\ntlZxD9zfb12KlVOyom6bUxTumu3xB3uttup0+WnPOBkT0sg2aSuXlBHtz+2rKtDh9EVVo8VeM0sZ\nUaNGiXWz87HhYDN21VixTOxSva+uC6/ubcCW423ybG0KRKk0d0J4+2AzjBolOl0+vLSzDkA4sJRe\nOKWZhqgLS4lBI2ZE+yjNPVjfjapWBywJZo6GS2znRqnzaaryBkLyH/bV03Nw8qGLcOPyMrQ7vPjD\nphOos7qxfk5eP8+SfBhjmFXQ96zOkSLtEX3vcAvqO924cpFQZvbO4Wa8vKseZ8VcaPVldqEZhWk6\nvHOoGe0OL7JS/EIrcm/5lNz4BRCOYxSEEpKkojKi4kXxw28fxV8/OoVlYjl4T42FpIxonkUbl9WM\nfB9v6vZE3RbZYK/VHn0bIaOlsUv4tydl+4sT6Iov+crZFVELKNkxVVxSRtSiU8lj4iKnHEiVhf1N\noZhoKBBNcTzPY/OxVpw9NRvlWQa4xe63iXYElV5Yzh5Kc5/achLzH3wPl/zxI6gVHO46d/Iwn33/\n1oldy0oz9XL32FTl9QflTqQAoOAYVoiB0l8/OgUlx3DFQlpdGwitioNBrcCW48Jg6uuWhJsn3bKi\nDL+PGWPUF8YYLpyVhy3H22D3BGBJoNvueBa5p3e0yqoJIcOjPMuANHHe9P66Luyr68LT26rx+aXF\neP62ZVArORxujN/jJlUexV6ES8/5dfE6oDFmdIUtYqG43kpjLcjYaLZ5oFFy+OWVc3Hn6klYMyPx\nEYJpejW23H0Ojv1sLbbfc25ctZRRTNxYdCp5lntXxHWpNH3iH19aBgCYGrOA6/QGcP5vt+Afn57G\nQxsqsePU4LpajzcUiKa4w402tNq9OGdaNgwapRxQnmp3Ik0ffrH0JtukgZJjPf5BenlXHbpcflw+\nvwDvfHMl5hWPfrfWR6+dj/99/SyUZOjleZqpyhMIyZ1IJYVpOpRl6uH2B1GaqZf3+5LEMMZwf8S+\nt+IMPWoeXo+ah9fjx5fMGvDPc+3sPATEMjdzinc5zYsoF80ypnbQTUiqyTCosfeH5+O/d52FQIjH\nLzZUgueBW8QuuHMLLXj7UFPcWDRHP3Ntr1okNLOq7xRKH6ta7Nhb24kTEc0Eq9sd4Hl+0N16CRms\nVpsHOWYNjBol7r5welRlQCJMWhU0SgUK0uKbQqaJi88WnQomjRKMRS/ASIFoWaYBVywojBuL+IcP\nTqCq1YGnt57E01urcc1Tn0yI1whdtaa4zUdbAQDnTMuBXq2QM6I1HU6UZva/J8+sVeHc6Tl4ZXc9\nTrU7cUKcZRkIhlBrdeErZ0/C765bIL8AR5tWpcCsAgvS9Gp0u/3w+IPgU3RMhNcfhFYZv+dmoTjv\ndUqOKe420r9zpmUDELKjQxU5ezeVZ4gCiNoTOlqjdwghw0fYFmHGpGwDPjtlBceE6iIAuHlFGeqs\nbhxq6I56jNMbgEbJxW2NkRSm66BWcnLzwPMf3YrP/Wk7fvTGYfk+J1ud+KS6A3MfeA/vHm4eoe+O\nkHhdbn/CDQgHKldcnFUpOXAcA88Dv//ghNxF2i0mgnRqBUxapdwsERCmPvz1o2oAiJoG8YsNlSNy\nrsmEAtEUxvM8PjjWirlFFmSbNNCrwxnRmnYXyjITq42/9axydDh9WP3rD3Heb7cAAD460Q5/kEfF\nKDaY6UuaToX6ThfmPvAenv+sdsCPv/SPH+FX7ybewn4seHvIiALA+TOE1uFfWF4SdxvpX55ZiztW\nVeCF25cP+bkUHINSDNDMKR6IApBLxakDJiHjE2MMl80X9sZL2R4gPG+5LqaM1ukL9NkBW8ExTMo2\noqrFjoffDv9NPdHqgJJjWFKWjpNtDlS1CIvaP3z90LB+P4TEem57jVwq3u32j9gicZ5FyK56/dGZ\nzpd2CL1ZnL4gVAoGtZKDUauEwxuQEyebKlvhD/I4e6qwML60PAM3LC/Fizvq8OBbR0bkfJMFBaIp\n7MZndmBvbZccqOjVCri8QQRDPFpsHhSlJzZvcll5BhaURJfd/vb94wCiu+SNpWyTBv4gD18whG3i\nfr++PLShEg+JK02HG7txoL4bj28+2c+jxk4gGEIgxMsXCZHWzs7DZ/etwcop2WNwZuMfYwz3XTQD\nC0vS+79zAqSxJameEQWAj75/LjZ95+yxPg1CyBBctagIM/LNUX0epG65dVahxLbL5YPHH4TTG5Sb\nGPZmSo4Rx1scUR1GAeDmM8swOceEk20OuMWL9Va7F0d62PpDyHCo73Thx28exp0v7AEwsoGolGl1\nxwSiUvmv2xeUm/yZtCoEQ7x8X6vLByXH5E7U62bnyTOkn/n4FAJig6NUrPijeqoU1e3yY1tVOwDg\n8gXCaqdBo4TLF0SHw4tAiI/a49UXxhhuXVGOu2r3AhBKcw432nDbWeWYkZ8cXTFvPKMUswvNeGNf\nIz4+0YFAMNRr6RAgzD4EgByTRv5jKa0AJyOvOLuqp/JRxphcEkLGnkGjhM0TgFmb+oFotknT49gn\nQsj4UZCmw9vfWBl1TKtSINukwYGGbvA8jyue2I4FxelweAMw9NBhP9KUHCPe3N8YdzzPIvyd6nT5\nUS3uGVUrObyw4zR+dvmcYfpuCAnrdAp7LKVtaTa3f8SqldLFjrqxzfuCIeH6zekNVxNI21kcngD0\naiW6XD6k6dX44vJSrJySjam5RhxrscvP0eH04dmPa7CxsgXvfGNln9e3o6HV5oFGpRiWoJ4yoinq\noLiv44XblslzknQqBdz+IBrEEoU8S2IZUQC4eG6+vFLz+01VCIZ4rJqaPBm4NL0a507PxUVz8tHu\n8OJ/B5t6vW9kG/mf/a8SCo6hwKId9TmoAyEFoj1lRElykSoNEp0/SgghyejSeQV4/0gLLnv8Y1S3\nOfHW/kY0dLr7LM0Fosc5rZ6WjYc+JwSZ+RYdJuUIt+063YkckwYXz8nH63sb5UCBkOHU5hDGtZh1\nKnj8QbQ7fHK36OE2r8iCR66aiwcunQUAeObmxQDCowVd/iB0YsWUFAx3u/14+O2jeHFHHdL1KmhV\nCkzLM4ExhoqIufC1Vhee3HISJ1odePvQ8O2r5nleniM8kMcsfWgTrnxi+7CcA10ppSjpxZcf0dlL\nKqeR9mbkWxLPojHGsFYclfLU1mooOCY3yUkmq6cJrbjrO3tvDy81XJJcMrcA0/PNcrCXjKTgWUPB\nTdJ7/PqFuGfddEzKTo7904QQMhj3r5+B714wFQfqhYVtXzCEI022fgPRyRGN8+YUWnDJvHzceEYp\nVkzOxORs4eK6us2JdL0aZ0/LhsMbkBfICRlOLTZh3JBZq8JNz+wAAKhHKJvIGMM1i4vlLOG503OR\na9bA5hZ6s7i8AXnrTo5YSdRi88pVebHjFNVKDq997UwAQtJE8vah3hMtA/Xdfx/ApPs2DOgxp9qF\nRmTStfRtz+3C/a8fHPQ50FVtimoVX3yRZXN6sZzmwf8eQZZRjfIBNhqKTMFPyTEmZadMlUJomhK7\nWTxSbCB6zZJiqBUcvP6xCUQDwVCvdf9ObwCXP/4x9tQKg8V7alZEkkuOWYuvnD2JGvgQQsY1xhj+\n79wpcjVUuphJMqj7rswpjWiEmGXSwKRV4cHLZiNNr0ZBmk5eULWIGSAgulKJkEQFgqG4zs6RWmxC\nUsbtD+AzcS7naPZvMGtVckbU6Q3K1+EFYkViY3d4AUZqJhopR9x2tb+uC+tm5+Gy+QXYX9f79ztQ\nr+ypH/BjjjRF7+neWNmC5z+tlUc2DRRd1aaoNrsXOpUi6g+GlBHNMqrx76+c2e+qZixpkzUQ3uuR\nbBhj0Cg5eIO9B5XHI+ru7103HVNzTdCouLh5aSOppt2Jn/33CLyBIKbc/3ZUd8FIu093Yl9dF+7+\n9wEAgFGT+vsOCSGEJI/fX7cAD1wyE99bOx0A+r12iJy/XBgzb1HBMVSIWdFsk0YOREfz7y9JHb96\n9xgu/sNHONnm6HFBX8qIHmoQgqcfXzITX1xeOmrnZ9EJgehn1R3YXduJ2QVCg88cs5AkOtnm6Ovh\nyDNrkSve976LZkCvVsLXx/XtYPX0s6uzuno8HllG74uoJKwWRzYNFAWiKarN4UW2SROVlVkxOQtf\nXlWBV7565oCzoUD0H5crFhYNy3mOBLWSi3pxxDre4kBZph4/uGgGbl5RBkAoeR3N0txfvF2Jv3x0\nCo9/cAI8L5Q79/SCl74PqbNabPdiQgghZCSlG9S4eUU5Lp1XALNWKZcV9mWxuHWnp27upWLfitkF\nFjk76hmjiiQyvn1wtBUAsOY3W/BdccFe8ml1B17cIYzzk7KSn1tQOKr9G8qzDNhb14lvv7wfeWYt\nvr5G6EytVSmQaVDjaJOQGFk3Ow9/+sLCuMcrOIb3vnU2Nn77bBRn6KFWsD6vbxPhC4TQKmaKJbH7\nRPfVdWHlI5vx8q66uMdHdgVuisjoVvcTVPeGAtEUdaLVEbcHNMekxb0XzZBbSQ/UyilZ+PXV8/DJ\nvefi0nkFw3GaI6K/oPJEqx0zC8y4fVWF3PxHo1SMaiCaYxJ+N7//4IR8rKo1/kVsdfrkj6flmuK6\nsRFCCCGjwaBR4t1vrcL/RYx56c0ztyzBjvvW9HjRf/Y0IThdUJJGpblkSJzecDmrVGb67Zf34flP\nT+Orz++Oum+uWYO0mH2YI+27F06DTqVAQ5cbVy8uivr6c4os+ORkBwBg/dx8lGb2nCCy6FSYLDb5\n6i/Rkojfb6rC0oc24flPT8vH/MFwIGr3+HFULL/9+ERH3OMjM6KHI0YvnbZSaS4RnWh14HCjDRfM\nyhvW52WM4apFRcgfQLfdsaBRKnp9oXr8QZy2ujAlxxTzGK7PfaXDTUpU33XuZDx361IAwkDjWG0O\nr/zxGZMyR+XcCCGEkJ7kW3TyPre+mLUqeX9brOuWFGPjt1dheUWmPJIsmZsFkuTk8QfRavdGHfvf\ngSa8uqcB979+CJ0uf9Rt0/JGf9xgrlmLX1wxFwqO4RyxmabksvkFcpltouPe1EpuyKW5NR1CCe39\nrx+Sj0nP2WLzYMGD7+MPEUmSWJEZ0aciZgVHLgoMBAWiKeiNfQ3gGHDJvPyxPpUxoe4jI1rd5gTP\nR7eXByDuER29P4Tdbj9KMvT4zgXTcPbUbOhUClid3rj7tUW8yZ5JgSghhJBxjjEmd9bVKikjShLX\nGVEldqzZjkBMSemdL+yRP7533fSo26bFXPeNlrWz83DwgQswvzh6a9UFM/Pk3iuJjg9UKxQIhgY+\nciWSNHf+e2unycf8YiAq/UylLtbtDi88/iCe//R01FYxtZLDjWeUYn99uHHSYMvrKRBNMTzP4/V9\nDVgxOUsu/5xo1AoOvl4aH9RahZWgspgSCI1SgUCIR2AENoH3pNvtj+rcplcr4Ophjtq+ui4AQgZ1\nWTkFooQQQlJHuDSXMqKkbx8ea8WCn74vZ+EOit1yl5ZlAACeumGRfN8nv7gQd6yqwIOXzcK8IqFB\n0NRcE8ZKT1UEBo0SF8zKBQCYEsyIqpRCOZ1/CNeq3kAQmQY1zp+RKx+Tnk8qr/3K2ZMAAE3dHvx+\nUxXuf/0QPjsllOl6fEHoVArcv34mlpYLP3uzVjnoxaTkm79BhuRIkw11Vje+fu6UsT6VMaNR9V5D\nX2cVVnmK0/VRx6V9LL5gCMoRmjEVKTYQ1aoUUeUOgJAN3V/fhSyjBudMy4ZlhIYwE0IIIWMh3KyI\nMqKkby/tEBrn/OLtoyjNNOBQQzcsOhX+/qWl2F/XhWUVmVByDIEQjzlFaWCM4cYzynCgvhv767sx\nfQxKc/tz+8oK2Nx+FKUntuVNmoHqDYTkRZyB8vhD0Ci5qKal/oCQYa3tcEKj5PC9C6fBGwji2Y9r\n8Odt1QAglzq7/UHo1QqolRz+fMNifHyyHU9trYZnkFWFlBFNMdLG4UVix7qJSK3ovcy2rtMFk1YZ\nF9RJfwxHa5ZobCCqUyvi/hBvPtoKngeeu3UJfn31vFE5L0IIIWS0yBlRGt9C+nG4qRvnzcjFgpI0\nfP3FvXhpZx3mFFqgVSmwrEKoGPvnbcuwdlYe8iL2J+tUCjAGueFPMpldaMGztyxNOKiUrlWHlhEN\nQaNSQKng8IfPLwAQ3iN6usOFkgw9OI4hW+yOLTUyOtXmRJfLB5eYEQWEWcAXzcmHVskNejGp30CU\nMTaNMbYv4j8bY+ybjLEMxtj7jLEq8f8TN/JJIsea7dCquF67b00EfXUVa+xyx801AyB3zx2tfaLd\nLn9UMBxbmuvxB/H0tmqUZOgxMz/5VvEIIYSQoRrtRWAyPvkCITR0ujEj34S/3LgYxRk6qJUcbltZ\nHnW/ZRWZePKGRVBw4dGFly8owPcunA6denAZxGQijVEcSudcrz8ov+5in+90hwulmULFYLY4pWF2\noXAN+ujG45j/4Pvw+INxgbNWpRh0w89+S3N5nj8GYD4AMMYUABoAvAbgHgCbeJ5/mDF2j/j56c2i\nxwAAIABJREFU9wd1FmTYHGu2Y0qOKepFONFolBwcvXTv6nb7kd5D+275j+EorMr6AiF0OH1Rs9i0\nKkVUS+xH3z+OE60OPHfr0qhZsIQQQkiq4DgGtZKjjCjpU12nCyFe6O+RadTgnW+ugjcQglHT/w7D\nRaUZWFSaMQpnOfLkbWRDCUTFjKjwfOE9pzzPo9bqworJWQDCQWqBRYeadpd8XV3f6YYh5ueuVXGj\n1qxoDYCTPM+fBnAZgOfE488BuHxQZ0CG1dFmO6bljd2G7GSgVnJxq6vBEI/nttegscsDsy7+jUsz\nwi3kvYEg3tjXgO0n2+WRLLGlI9Ie0VabB3/eVo3rlhTj7Knxw8AJIYSQVKHt4W82IZHqxCY6JWK2\nTqXgEgpCU01kP5PB8vSQEfUHQ2ize+H2B+WM6MISodD11rPKYdCEM6BHm+1yaa5Eo1QMOpEz0ED0\nOgAvih/n8jzfJH7cDCC354eQ0dLh8KLd4cX0CR+IKuJepFuOt+LHbx5GQ5e7x3lN0urOYOcg9efx\nzSfxjZf24fo/f4bXxKHLuRGBqF4dzoh+eKwNIR646cyyETkXQgghJFloVPE9EgiJ1GLzAIhewJ+I\n1AMszX19bwNWPbIZx1vs8jFvIBRfmhsMyR1zpUC0JFOPmofXY3lFppykWTsrD0qOxS0CDCUjmvBy\nAmNMDeBSAPfG3sbzPM8Y63GoDWPsDgB3AEBJScmgTpIk5pj4D20sW1QnA42Si6tVPxAx68isiw9E\nTeKLqreS3sH64wdV0KmVUbOv3tjXCADIMYdLcyMzokeabDBplBN+QYEQQkjq6218GSGS5m6hkix3\nggeiqgFkRE+0OvDtl/chxAPPfnwKv7hiLgAhEM0WM5rhjCiPxi4pEI3vMTMjz4xPqjtw/bIS3HF2\nRVSzTUDYXuYJBMHzPMrv3YD/Wz054e9pIHntdQD28DzfIn7ewhjL53m+iTGWD6C1pwfxPP80gKcB\nYPHixYOfwEr6daxZCEQnegCjVnJxL9Idp6zyxz1lRI3iMGGHZ/gC0WCIx1Nbq2HRqXD5/EL5eFWr\nA4BQdy/RRmREHd4AzDoV7Q0lhBCS8owa5YhVI5Gxd88rB+ALhPDIVXPBGEO3248MQ3yvjr402zzI\nNKjl0tSJSjOAjOg9rxyARacCxxgaujw41NCNKblGVDbZMClbCDalDKs/EMLpDic4hh4bev75psV4\nbU89lldk9vg70IpVDTa38Dr+4+YTCX9PAwlEP49wWS4AvAngJgAPi/9/YwDPRYYZz/PYVNmKdL1K\nbrk8UakV0ftN/MEQ9tZ2yZ/3NCZUKjOwD+Mfw6PNNtg9Adg9AZzqcMbdnh7xRqyPyIg6vQHoU6C7\nGyGEENIfo0YJ+zAuApPk8tJOYf7nDWeUYltVO377/nHsuv88ZBkTu1b1B0PYfdo64bOhQOLNiuqs\nLuw63Yl7103Htqp2bD3ehq3H2+TbgyEhL6iKaFbU2OVBrlnbY6Bp1ChxwxllvX49YXxLCC12z0C/\npcT2iDLGDADOB/BqxOGHAZzPGKsCcJ74ORkjO2s68dGJdlyzpHjCZ9IMGgVcfqFEAAAONXTD7Q9i\nXnEaAKAjokxWYtIIWVIpIxoQO4gNRWQWdvNRoWDgiS8s7PG+erUQiFqdPji8gbiOZIQQQkgqMmlV\nw7oITJJH5N7ffXVd2H26EwCigqL+PPr+cRxvceC6pcXDfn7jTWRzob5sq2oHAJw3M1ceFZgeMTKw\nscsd9Xy+YAgOrx8m7eCuPaUuvA2d7gE/NqFAlOd5J8/zmTzPd0cc6+B5fg3P81N4nj+P53lrX89B\nRtbmY61QcmxAddmpyqRVIRji5T0nO2uEf5rfXDMFALCsPL6Nt9QRTNojOvkHb+O7/z4w4K8dCvEI\niStNO05ZkW/RQqPk4PIFMTPfjAtm5QGIL59eNycfKo7D9185AKc3ENWhjBBCCElVJq0SDq9/rE+D\njIDIhf/KJhvKs4SS0J01nQk9fmeNFU9uOYlrFxfjxj4ychNFohnRfXWdyDCoUZFlgEe8Fr533Qy8\n961VAIAGMRBVR+wRdXqDg+5ELO0ZfXTj8QE/dmIXW6eQD4+1YVFpOkw97H+caKQVHZvHjz9+UIU3\n9zeiIsuA1dNzcOCBC7B2dn7cY5QKDjqVAg5vAG12YVP8K2J321g7a6x4vJf692ue+gQrH9kMQGiQ\ntLgsA/OKhExsml4FBcew5e5z8NIdy6MeNyPfjO+tnYb3j7RgT20XDGrKiBJCCEl9Jq1yWPszkOTR\nIY6rA4BWu1de7D/Rau/tIVGe2lKNbJMGP7xk5oic33gjBaKxc3cDwRBe21svl9zuq+vCvCKLvCcX\nAArTdXJH3DKxIVFkhtXuDcA4yBjiyoVFuGF5KSqbbAAABZd4ZSYFoimguduDyiYbVk/PGetTSQpS\nML6/rhu/fu84DjXYcMakTAA9NyqS6NQKVLc5cbhRSPwbetmnefWTn+BX7x7rsTRi1+lONHS50e32\no6HLjZn5Znmuq7QntDTTgDR9/Eb9W1eUY+UUYZAw7RElhBAyEUh7RIe6HYYkjz21nVj7u61yE800\nvQqtNq+84HC8xZHQ77vL5UNFlnFCzgztSYFFB4NagU9OdkQdf31fI771r/3460fVcHgDqGp1yNvR\nzp8pTNecnGOERqnAq187E0/fuBgAoFKE94g6vQEYB1mNp1Mr8NPLZ+OD75yD9XPy5YA4ERSIpoAt\nx4X9h+dMyx7jM0kOUka0PWIl7qzJWf0+LsOgxsbKFrkkt6SHFtaRmrujN2W7fOEV3Z+8dRgAMKfQ\ngnWzhXLcW/qZC8pxDBeIbxhOamVPCCFkAjBqlQiEeHlWIRlfulw+rHtsG+599aB87Lv/3o+jzXb8\nfEMlAGBuUVpURrTb7UdbxDUaIGT1vDGZPuqZEU2nVmDdnHxsONgsT1oAwntxPznZgYP13eB5YL4Y\niN6+sgL7fnS+3OxpYUm63LXYoFFCpWCobnPC4QkMOeAvztDjN9fMw5xCS8KPoUA0Beys6USWUY1p\nE3x+qMQsBqLSZmwAcka0L7+9Zl7UHtvKJhveP9ISdZ/IYPP9Iy3YfTq8Nbq6LdwZ99U9DbjtrHKc\nOSkTZ07OwtGfrsXisvi9qbGk4NfaQ0MlQgghJNVIVUw2D+0THY+2VrWjssmGF3fUyqWZUrJTwRh+\nffU8zC+yoMPpRZfbB6VYtlnV4oh6nlv+thPT7n8n6pjTN/gsXaq6cmERHN4A3jvSLB+TZtW3O3w4\n2iz8DmYVCMEgx7Eeq/AAYezKRXPy8cruenS5fcMS9GtVCrx+54qE70+BaArocvmQY9JO+G65EumP\nmhSILi3P6PVFGGluURq+e+E07Lr/PHxugTD3877XDkYFn9L+UQB48L9H8KXndqHFJmRGpQwsx4DH\nrpuP+y+eCU58w9WqEnsjLbAIK1YdMSuFhBBCSCqSGp3Y3BSIjifdbj9u/dtOvHc4HBCte2wbAGHR\n/qI5efjo++fiqkVFKMsygOeFefcLSoRM3fGW6H2iUqfXSE5vkDKiMZaVZ6AwTYdX9zTIx6SxKV1u\nH6paHUjTq5BlTGxW6x2rKmD3BuDxh2Aapp817RGdQPbWdmJjZSvMOnqhSqTSXKkr2C+vnDvg55DK\nHNrsXvxuYxUO1gv7RtsdwqqTUaPEvOI0dLn8WPbQJnz/PwdQ0y5kRD/4zjm4bH7hoM69NNOA6Xkm\n/PjSWYN6PCGEEDKeZIgLxR0OqgQaT17dU48Pjrbivwea4mZPunxB5Ji00In9Li6ZV4D5xWnwB3mU\nZxmgUylQ38uoj8i9ow7v0MtFUw3HMSwrz8CJViGj/N7hZjz/aS0AoNXmxeFGGyZnGxNOTs0qsGCN\n2GNmLIJ+CkTHoS3H2/DD1w/BHwzhc3/aDqDvJjwTTaZBA5NGif1i8DiYuUjScO10vQpPb63GJX/8\nCE5vQM56vnTHcty6oky+/8u76/DAW0cAABkJrkL1RK3k8M43V2H1NGo8RQghJPWlG4Trl04XBaLj\nic0drha7cmEhvn7uZDAmjBZx+YJRY+hUCg6PXjsfBrUCeRYdskzqqD4ekXxiI0h/MARfIEQZ0R5k\nGNSwOoUy3G+8tE8+7g2EsL+uC2vF3iSJukscb5ht0gzreSaCAtEk9+KOWpTd87+oTck3PbMD//j0\nNE62hevrEy39nAjUSg7XLCmW5ywNJhCV9qo8eNlszC40AxBKfaUV20yjGvkWHQCgLFOP178Wrocf\nrtIGQgghJNVlGoSLX6uTSnPHkzZHuGHjzAILitL14Hmg1upCMMRDHzOGrjzLgM13n4M7V09CllET\nFYhGZkGl612n2NiIAtF46QY13P4gHtpwFDq1AtvvORePXTcfALCwJA23rCgf0PPNL07Du99chYvn\nFozE6faJAtEk99jGKgBAq90Td9uhBpv8cWynsYnuxjNKwZgwrFejHHiQ/t0LpiHXrMG503PwwCVC\nmWxDl1veu5lp0CBf3M+5enqO3CYbAO3VJYQQQhKUphcyolYn9UYYT3bVdMofzy4wY6o4qu7fu+oA\nALoeEiQ5Ji00SoUQiNrDGfDuiP3BLjEQlTrs0uJ+vEyx6+2JFjum55lQkKbDotJ0LCvPwG+umT+g\nPZqSaXmmuBLr0UC/3SQnxTQ1HS60O7xQcOF/JAfru+SPqe15tNJMA9ZMz5U7uA3UqqnZ+Oy+8wAA\nBWlC5rOhy412hxdmrRJqJYfiDD3+e9dZ8pzQ9XPz40a6EEIIIaR3WpUCBrUCHdQtflS9tb8ROSYN\nllX0P1VA4vEHoVUpUNvhwlFxRijHgOl5ZujUClw4KxdPba0G0Pc89CyjBntOhwPZOmt4v6hLzogK\n/6eMaDxpLn1jtwezxFEpRel6/OvLZ4zlaQ0K/XbHicc2Hsfeuq6oY5Gfe/0UiMb69dVz5eZCQ5Fr\n1kKj5LDndBc8gSCyjOEa+tkRs5Iev37hkL8WIYQQMtFMyjFGZdjIyLvrxb0AgJqH1/d6n5p2J/bX\nd+Gy+YV4fPMJ/OrdY/jrTYvlcXUz84WtS1JTop9cOhvvHhbG3un7CCCzjWpYXT4EgiEoFRxqOsLj\n76RJBVKln2YMsnTJTpoDCmDcN3Ma32c/gRxttiOihB4AcLgxnO27bP7o13UnuzS9OqGxLf1RcAyf\nX1qCf3x6GsXpOuSYtMNwdoQQQggBgIvm5OPht4+i3eGNWuwlIyMU4nu9bX9dF4xaJYrT9fjhG4ew\nraodJRl6HBCr8A7Ud+Ot/Y2YU2jBX25aLPfjAIA8ixa5Zg1abF7o++hdkmXSgOcBqzh+8HRUICoE\noEHxHAdTZprqSjP08seGcT5nlZYZxgmXL3oP6BkVmfKL9O1vrMS1S4rH4rQmjDtWVYBBKJHOHEJX\nXEIIIYREyzMLC7xSx3oysqwRHYojg9LNx1px2eMfY81vtuCeVw/AIDYceudwMzxi5d0LO2pR3e7E\nnasnIdesRXFEUARAXqzX9VOaC0DeJ1rT4ZJvk5oVhcTsC0eBaJwcsxazCoRs9HgvXaZANMn19KZ8\nxcJCnDczV/7crFNRg5wRVpCmw8Vz8wGAVmsJIYSQYSQFLVKnVDKyWm3hxlCt9vDH+yO2fL26pwGB\nkBB8VjbZ5YZCbXYvZuabccHMnkeE5JqFaySbu/cuyHIgKjaAPN3hlJtWhTOiwn0VdH3bo6m5Qn8S\no5oCUTJCPP4gHN6AvFIoyTVrMSPfJH9u6GPViQyf21ZWAAByxmDOEiGEEJKqpMxbbPUXGRktEZMY\n6jrD2UhHTPJjb60QmB5q6I6a8/rN86b0mqn84cUzsWpqNlZOze7162eJlWVSIFrT4ZL3mzrFPaJU\nmts3i04I3Mei0+1wGt9nn+KkDnKLytIBAOl6FX58yUxcs7hYfsECfZc/kOEzu9CCZ29eguuXlYz1\nqRBCCCEpQy/uc5Ma1ZCBO1jfjR+8dhD1EYFlb7oigsraiLJYuyeAHJMGH99zLgDhOpQxwOr04bR4\nv7Wz8nB+RFVerNJMA/5+69I+m+hkmcIZUYc3gDa7F3PE5o9SJSAFon0za4Wfr2OcVxFQIJrEpJmV\nC8QZlTZPALesKEd5lgFpejXyLVooOAa1gn6No2X19BxkUmkuIYQQMmykUR+UER28P26uwj8/q8Xm\nY2393tfhDf+cozKi3gBMWiUK03RywuPKhUUoEOemf/WcSXjyhkVD3g5m0ghj8NodPrlR0exCCxgL\nzxQN8lIgOqQvlbLMYkbU6R3frxn69SaxDnH0yNwiIRAtzYzeED4j3wy9WkH7QwkhhBAyblFp7tBJ\n3WvdCWSVpb24Fp0qaoanzeOHSSsEOBfMErKeLl8AX1heCgAwi7cNFWMM2UYN2u1eOdNakW2ASaNE\nt5itlZoocXSN26NrlxTj4rn5+MrZFWN9KkNCgWgSk2rn8y1aPHfrUrxw2/Ko269fWoIbxDcHQggh\nhJDxSKdOrDTX6Q2Aj51ll4DKJhvuenEvbJ7eG+iMd1Lz25aIRkS9cXkDYAyYlmtCnTU+IwoA1ywW\npjGUZRpw7ZJiFKbpovqTDFWWUY0dNVZ87Z97AAglvWl6dTgjSqW5fTJpVfjj9QuRYx7fIwXHd6ul\nFCftEc00quPaYwPAeTNzo7rnEkIIIYSMN1JGtK8yw1a7B0t/vgn3rpuOL589aUDPv/V4G97a3wgV\nx/Dba+cP6VyTlccv/Oz++tEpVGQb8IVlvScqHN4gDGolijP02H6yXT5u9wSQL5bhFqTp8NH3VyPb\npIFGqZD3jQ4XrUqB+k4hG1uaqYdRo4RFp0JXTGkuZURTG2VEk1iHwwudSgH9OG/NTAghhBDSG62K\nA2N9l5U2iEHLhoNNA35+qcLs1b0N+Mu2armMNZW4/eEg/tH3q6Kyy3aPPyob7PQGYNAoUJKhR1O3\nBwfruwEIXXNNmnD5bVG6HhrlyDTEPNkm7A392jmTsOXu1QCANL0qLiOqVFAgmsooEE1iHQ4fMsUW\n14QQQgghqYgxBr1KAWcfe0QDQyjVbHf4kG/RYsXkTPzsf5V44sOTgz7XZBU5g7Xd4cWzH9fIny/6\n2UasePgD+XOHLwCDWok5RUJDosc2VcHm8aPD6UXGKF13XijuQf36minyMYtOhYZON4IhPlyaSxnR\nlEaBaBJrd/qoQyshhBBCUp5eo+xzj2ggKGbIuIFfurY7vMgxa/HcLUsBCBnCVBPZ6CnLqMYre+oB\nCE2MfIGQPBYFkDKiSqyeloOlZRlo7HLjjb0N8Ad5XDQ7f1TO94FLZ2HPD8+HVhXOuJ41OQutdi/e\nPtSEkFSaS3tEUxoFokmsw+FFloEyooQQQghJbXq1os+uuVJgMphSzXaHD9lGNZQKDiaNUm7sk0oi\nf3ZTckzodgnB9uHGbvm4VJLs8gZh0AhTF2YWmHG6w4kXd9RhVoEZc4oso3K+KgWHjJhr3MsXFAIA\nTrU5KSM6QVAgmqT8wRCauj1UmksIIYSQlKdXK+VmRTaPH4Fg9D5OKYgaaGkuz/NosXmQbRKa8DAW\nDmpTSWQ2uTBdhw6nDzc+swO7ajrl483dHgCA3RuAUSP0H6nINsDpC+JIkw3XLSke3ZOOoVUpkGVU\no7HbTV1zJwgKRJPUhoNNsDp9uHBW3lifCiGEEELIiDKoFXD7hfEscx94D99+eX/U7VIzHuUAA5M2\nuxdWpw9Tc40AhMAm1QJRXyAEfzD8PRWm6QAI3YJ3nbbKx5u63QiFeNS0O+VpDPPEWfUAcOn8wlE6\n494VpOmwt7YLd//nAAAKRFMdBaJJ6MktJ/GnzSeh5BjOnpo91qdDCCGEEDKidGoFnN4g7GLTnTf3\nN0bd7hZLTwcamBxusgEAZuYLjXk4lnqBqDumpDnbFO4vsvt0J8oyhaDTEwih1uqC2x/EjDzh5zGr\nQPh/ml4Fi06FsVZg0eFos13+nALR1EZzQZJMndWFX75zFDwvrGgpFbRWQAghhJDUZlAr0WLzwOrw\n9Xi7lBEdaGBSKQai08VAlDGGYIpNb2nockd9HhlQtjt8OH9mHmo6auELhHCi1QEAmCJmiJUKDm/c\nuQJ54vzQsVYgZnMlNEc0tVGUk2Re2lkLaaEu9o2FEEIIISQVSc2KrK5wIBqK6CrkkUtzB3bpeqTR\nhqJ0nRycKThh32gqqWoVMohfWFaC9XPzoVNFz/5cMTkTgFDCK83pjGwUNK84DbnmZAlEo8+DMqKp\njQLRJOIPhvDyrnqcM00ox71+WckYnxEhhBBCyMjTaxSwewKoagmXZTZ2hxfk5UB0gF1zK5tsmCFm\nQ4HULM090eoAx4AfXTITj1+/EP6YlK9UluwLBuEUmxpJzYqSTWFMRpS65qa2hP4VMsbSAPwFwGwA\nPIBbAVwI4HYAbeLd7uN5fsNInORE8Mt3juL5T07D7g3gxjNK8dQNi6AaxKwsQgghhJDxxqBWotvt\nx/dfOSgfO9XuRFG6sL9RKs0dSAzp8gVQ3e7ExXML5GNcCpbmnmh1oCzTAI1SyIQuKkuXbytM00Ej\nZkgj54kakjQQjS3NVQxiXA8ZPxKNdB4D8A7P89MBzANQKR5/lOf5+eJ/FIQO0vEWO5748CRyLVr8\n4KIZWD0tBxqlgob4EkIIIWRC0KkVccdOtTvlj90+IXqMzfb15VizHTyP6IxoSpbmOjA5xyh/nmPS\n4skvLgQgNCFSi/1GfEEeDm8AKgWDRpmcyY64QJQyoimt3+UQxpgFwCoANwMAz/M+AD5G/zCGzVNb\nqqFTKfDyl8+IG+5LCCGEEJLqDGplzOcKVLeFA9EWmzADcyCB6HGxzHd6nkk+Nl5Kc093OKFXK6M6\n4PbEFwihpt2JC2flRh1Xi4Fmul4tf+wLhOAUZ4gm63V8Zsx1MBUHprZEfr3lEMpvn2WM7WWM/YUx\nZhBvu4sxdoAx9gxjLL2P5yC9aOhy4419DbhuaTEFoYQQQgiZkGIzouXZhqiM6L66LgBCVi9RtVYX\nFBxDUXo4y8YxhgE8xZi584U9eOCtw/3e73SHE4EQH5URBSDPFS1K14UzooEQHJ5A0pblAgAX8/ui\njGhqSyQQVQJYCOAJnucXAHACuAfAEwAqAMwH0ATgNz09mDF2B2NsF2NsV1tbW093mdD+sq0aAHDb\nyooxPhNCCCGEkLFh0MQEollGORBtsXnkSQKBAWRE66xuFKRpo0bhcQzjIiPa5fJHNW7qjTyOJccU\ndXzN9Bx8Y80U3Ld+RlRG1C5mRJNZsbgvGKCuuakukUC0HkA9z/OfiZ//B8BCnudbeJ4P8jwfAvBn\nAEt7ejDP80/zPL+Y5/nF2dnZw3PWKcLhDeDfu+px8dz8uC5hhBBCCCEThT6mNLc0Q4/6Thde+KwW\nGw42AQB0KoVcmsvzPLYcb4MvEB+YVrXYce1Tn6CyyRYV1ABCRnQ87BH1BkI43eGKGmHTk6pWBxgD\nJmVHZ0SVCg7fOn8qzFoVFByDgmNC11xvACZtcgeil8wLN5dK1hJiMjz6DUR5nm8GUMcYmyYeWgPg\nCGMsP+JunwNwaATOL6Xtq+2CwxvAlYuKxvpUCCGEEELGjD6mNDdNr0KIB+577SB+8tYRqBQM84ot\n8AV5/GJDJcrv3YCbntkhB6mRfvTGYXx2yoqqVgdKMuID0WA/wV0y8PqD8AZCaBb3xvamscuNLKOm\nx2ZPkdQKDr5ACJ0uf9JnRGl84cSR6L/EuwD8kzGmBlAN4BYAv2eMzYcwzqUGwJdH5AxTmMMrtNDO\nNPS9EZ0QQgghJJXFZkTNOlXU5zMLLDBqVGjosuGprdXycWkuZqS6Tpf8cXFsIMoxjIM4FD4x81vT\n7ozrJBup3eFDlrH/60i1kkOny4/jLXacO50qFElySCgQ5Xl+H4DFMYdvGP7TmVhcPmmWU9+rWIQQ\nQgghqSw2I2rWRgeiC4rT0GLzoM4q7BU1apRweAOwueMD0ZaILGJcIMqSf3wLz/PwiiXH1//lM/zg\nohm4fVXPvUTaHV5kGftvdqlWcvjkZAeCIR7LyjOH9XwJGSxqijyGnN7kHipMCCGEEDIaYse3mHXR\nny8oSZObDs0uNOPgAxdApWDodvvjnssf0Ra3OD1mLiWX/KW5/iCPyFj55xsqe71vh9ObWEZUwaGh\nyw0Fx7ColAZdkORAgegYcvqCAOLffAkhhBBCJhJ9RHXYv+5Y3kNGNB27a6wAgC8uKwVjDBadSg5E\nfYEQXtxRC7d4bSWJzYgylvylud5AsP87Afi0ugN1VndCzYekzrlzCi2UACFJgwLRMeTyBsAYoFXR\nr4EQQgghE1dkae6yikxYIvaILipNR3GGDl9aWYHiDJ3c5NGsU8EmBqLbT7bj3lcP4sktJ6OeNzNm\nRvt4GN/SUyfgnvzt4xoASGjygpQFXlaRMejzImS40ZLIGHL6gjColdSamhBCCCETmlYZvUdUyvJx\nDHjlq2cCAL50Vjm+dFa5fB+LToUutw/BEI9WuxcA8Nimqqjnib3GUjCW9IGot4dAlOf5+O9FnLF5\n05ll/T5nrVVo4LSc9oeSJEKB6BhyegNxm/MJIYQQQiYajosOskxiae6dqyf3+pgMvRqbjrZi0n0b\nEv86jCGUWMJxzEiBqFmrhM0j9BPpdPmREZPdbXd4sbQ8A1pV4teSZ06mQJQkDwpEx5DTF6Q6fUII\nIYQQAE9+cSGm5JoACNm+mofX99nh9tsXTMXkXCOe2lIdd9t/7zoL6Yb4brJsHJXmPnjZbGw53obX\n9jbA4QnEBaIdTh+m5BgTes4Xbl8GANAoKQFCkgdFQWPI5Q3Q6BZCCCGEEABrZ+fHHetr+9KsAgum\n5JiiAtHfXTsferUCswstPT5GwTH4g8mdEpWaFRk1Spw3Ixev7W2Ap4cGRh0OL5YnuOfzzElZw3qO\nhAwHCkTHULfbTx1zCSGEEEIGSeoGK7l8QWGf9+fGRddcIVDWqDhIcXhsN+BAMCSW6/azSLcMAAAg\nAElEQVQ/uoWQZEXtWsdQTYcTZZmGsT4NQgghhJBx7407V/R7n/FQmuv1i4GoUiHv//T4owPRNofQ\nnCnPrB3dkyNkGFE6box0uXxod/gwOcHafkIIIYQQEu+NO1cgEOIxrzit3/sqOIZQkqdEfUEh6FQr\nObkzriemk25TtwcAkG+hQJSMXxSIjpGTbU4AQEU2ZUQJIYQQQgYrkQBUMh5Kcz1yRpSTs7expbnN\nYiCam6IZ0YpsA6rFa2WSuigQHSPSG0hhev9DiAkhhBBCyNBx46A0NzLI7HT5AIQbGElSPSP63jdX\nIbl/S2Q4UCA6Rppt4puMKTXfQAghhBBCkg3HGIJJnhKttbpg1CiRrlfJe0Mj94jyPI93DjUh26RB\nml41Vqc5opQKamMzEdBveYy02jxQK7mUfQMhhBBCCEk2HGNI8oQoaq0uFGfowRiTmxVFlua+e7gF\nO2s68Y01U/ocb0NIskv6QJTneTy3vQYtYgYxVbTYPMg1a+gNhBBCCCFklHBc8pfm1lpdKMkQtm5p\nVcKlemSzol+9exSTc4y4bknxmJwfIcMl6QPRmg4XfvzmYSx7aBP4mDeOB948jLJ7/ocH3jw8Rmc3\nODzP43CjDSUZ+rE+FUIIIYSQCYNjDMEkDkRDIR61VhdKxfF+WmV4fIvLF8Cn1R042ebE+jn5VL5K\nxr2k/xcsbdgGgP313VG3/W17TdT/x4tDDTZUtTpw0Zz8sT4VQgghhJAJI9lLc1vtXvgCIRSLyQqO\nY1ArObj9QfxuYxWue/pTAIBRQ21eyPiX9IFoZEnuC5+dlj/eWWONul9stnSk8Twf10o7Uf/ZXQe1\nksPFcwuG+awIIYQQQkhvkr1rbq3VBQBRVXNaJQeXN4jX9zbIx3RqxaifGyHDbdwEopfMK8DLu+rx\n5X/sQmWTDVc/+UnU/TqcvlE9r5d21mHGj95BU7d7QI/zBUJ4c38jzp+ZC4uOGhURQgghhIwWjkvu\nrrntDi8AIMekkY+ZtCpsqmxBq90rH9NTIEpSQFIGoq/trceNz+wAIIw5MagVuH1lOQChU9i6x7bF\nPaa+c2AB4VC9sU9YldpxytrPPaMdbOhGp8uPS+ZSWS4hhBBCyGhK9tJcqdrOoA6X3pZk6NHY7YEp\nohyXAlGSCpIyEP3Wv/Zj6/E2BEM8DjfYMDnHiDmFlqj7XL+sBDt+sAaZBjUAoE4sZRgtevENYl9d\n14Ae19AlBMwV2cZhPydCCCGEENI7BWNJV5prdfpw+993oc3uhUucF6pVhy/Ry7KEMt31EUkMnZr2\niJLxLykDUUm7w4t9dV1YVpEJxhhuWF4q3/ad86cix6TFlu+tBjD6GVGphr8tokwiEQ3ieRak6Yb9\nnAghhBBCSO84DklXmvva3ga8f6QFj28+AY+YEdVHBJpSB93LFxTKxygjSlJBUi+nnGh1wBcMYbKY\nPfzp5bNx15rJ8PhCyDQKtfNGjRLpehXqOxPPiAaCIXzl+d24bWUFlldkyscbutywe/yYnmfu8/HB\nEI/THU4AQJfLP6DvqbHLDYtORd3OCCGEEEJGGWMMSRaHQq0U8kKtdg/S9UKln04VDjSvXFgEg0aJ\npWUZ8rHI2wkZr5I6IyqV25p14aAtx6RFSWb0/M2idD3qBpARbezyYGNlKz7/50+jjl/02Das/d22\nflfKGjrd8AeF+3S6BtYkqcXmQZ5ZO6DHEEIIIYSQoVMwNuqTFvrTITYoqrW64PIHoFZyUHBMvj3b\npMENy0vBRRyjjChJBUkXiPoCIfnjOjHLadL23V22OEM3oIxofZdw39j3oW63kN18cUct3trfiK8+\nvxutdk/sw3FKzIYWZ+gGnBF1+4PQa+jNgxBCCCFktHEMCA4xEO1y+fDYxip4/IMb4xdL2uZ1uNGG\neqs7oWyngSrrSApIukC0NqLpkLTv06Tt+8VWlK5HfacboQRqLXiex4lWh/y5tAoV+dj7Xz+Eu17c\ni7cPNWN3TWfcczSKDYfmFFoGnBH1+IPQKikQJYQQQggZbYyxhK4X+/La3gY8uvE4HttUNejn2Hys\nFf/aWQsA8lgWngc+ONraZ7ZTrRAu3WmOKEkFSRWI8jyPT6s75M+l0tx+M6LpOvgCIXn2Ul/+su0U\nfvTGYfnzXaeFQLO63RF1v0eunAsgPMc0ksMTEL5uhh4uXxDeQOIrYh5/CFpVUv3YCSGEEEImBAU3\n9PEtSjEY3HCwadDPccuzO/H9Vw7CGwiivtONc6Zlo8Cihdsf7DMj+uBls6BTKaCnPaIkBSRNRLSn\nthNrfrMF979+CIBQOnGgvhsAYE4gIwqES3n78tGJdgDAVYuKoFZy2FVjBc/z+MlbR2CIWF26alER\nVAqGZlt8cGv3CoFokdj5diDluR5/EFp68yCEEEIIGXXDUZpr9wjXfac7XLB5BrZFK9aft1ajpt2J\nSdlGnDczF0Df2c7rlpag8qdr5WCYkPEsaf4Vf1DZipoOJ65bUowvLi/Bt8+fioBYOpHIHlEgsREu\nWhWHyTlG/PrqeZhflIadNZ14dU8DtlW145510/HSHcvx5BcXguMYckxatPaQEXV6AzBqlMgwCJ17\nB1Ke6wlQIEoIIYQQMha4YZgjahcr4wBg+4mOPu4Z9q+dtbjj77vkz6fnmQAAv37vONz+IMqzDFgz\nQwhEqRERmSiSZqez1eVDul6Nh8WSWJvHj6e2VsMXCMltrXtTmCZmRK39Z0Q7HD5ki6NfFpWl44kP\nT+JYsx3lWQZ8YVl0R7JcswaN3fHBrcMTkMfGAECnM/HVMC+V5hJCCCGEjAmOG/r4FrvHD5NGiRDP\nY1tVG1ZPz8axZjvmFqX1+pjvv3IQgDACUMExePxBXDKvANPzTHh88wksLktHeZYBBrWCEhZkwkgo\nImKMpTHG/sMYO8oYq2SMncEYy2CMvc8YqxL/nz6UE+l0+pBuUMufm7UqfOf8qTh7ana/j9WpFcgy\nahLKiFqdPmQYha+zuFQ4Zbc/iKm5xqggFAAm5xhxvMUht/nuFktwHd4ADBoF0sRZT10DyYj6g9BQ\nsyJCCCGEkFHHMQy5WZHdE0C6QY0zJmVhW1U7ntteg0v/+DFOtNr7feyb+xsACNeSJq0Sd66ejMM/\nuRDT88zQKBX44cUz8YVlpUM6P0LGi0RTc48BeIfn+ekA5gGoBHAPgE08z08BsEn8vE/tDm+vMzqt\nTh8y9OqoYzevKMfTNy5O6AQL07Ro6Oo/EO1w+pApBrxLysODgXs6r1kFFlidPvzojcNY8OB7mPfg\nezjeYofdG4BRq0K6QcyIDmSPaCAEDWVECSGEEEJG3XCV5pq0SqyckoVaqwvPbT8NAPjfgeZ+H/ut\nf+0HIASiRnEEC2PhRMh1S0uwdnbekM6PkPGi34iIMWYBsArAXwGA53kfz/NdAC4D8Jx4t+cAXN7f\nczV1e6K64kbqcvmRpu97L2hfMo0aWJ19ZyZPdzjR7fYj16wFIGRdj/50LdbPzcfdF06Pu/8ZkzKh\nVnL4z+56Odg80eqAQyzJSBcD50T3iIZCPHyBEI1vIYQQQggZA0IgOrTnsHv8MGmVmFcslOJKiZDY\nLrofHmuVr02NEXM/A8EQPP4QDOqk2SFHyJhIJDVXDqANwLOMsb2Msb8wxgwAcnmel15xzQByE/mC\nvmCox+NWlw8ZBnWPtyUiw6DuNxB9+O2j0KkUuHpRkXxMq1Lg8esXYpq4aTzS1FwTjj64FkcevFA+\n9rV/7sHRZjuMGiW0KgW0Ki7h0lxvICR/TUIIIYQQMro4Mfs4lPJcmzsAk1aFabnha8f1c/NxrMUu\nz6q3efy4+dmd+MrzuwEABWla+b5OrzD2z6Ch60EysSUSiCoBLATwBM/zCwA4EVOGywubKHt8RTPG\n7mCM7WKM7QLC+ykDwRBOtDoQCvG49I8foc3uRb5FN+hvJNOoRofDJ+/njPXD1w/h7UPN+PLZFcgx\na3u8T084joExhg+/e458TMkxTM8X3nzS9eqES3M9fuGNh5oVEUIIIYSMPqkdyFDKczucXmQZ1dCp\nFVg/Jx+XzS/A/etngDHg3cNCeW6D2Lekus0JIJyMkB4PAKZ+xhMSkuoSeQXUA6jnef4z8fP/QAhE\nWxhj+TzPNzHG8gG09vRgnuefBvA0AGjyp/BSh9nfvH8cT3x4Er+5ep48L/SqxUU9PUVCMg1q+IIh\ncfN3dIlvIBjCPz4V6vfvWFUxqOcvyzIgx6RBnkWLN+5cIdfzp+nVCWdEPQEpEKUVMEIIIYSQ0SY1\nphxsQjQY4mF1+pAlTmB4/AsL5dvyzFrUtAuBpzTJwShmPaUsKAC0iDPqDRoKRMnE1m9qjuf5ZgB1\njLFp4qE1AI4AeBPATeKxmwC8kcgX7HILgai0V/RPH56ATqXAtu+tRmHa4DOi0kzPnspzpWM/vXw2\n9EOox//o++fila+eGbWpPF2vGkBGVCrNpYwoIYQQQshokxpW1iYw8q8nVqcPIR5yIBr13EY1OsRr\nTmmSg3Td6fIF5F4ozTbhNotu8L1RCEkFiUZEdwH4J2PsAID5AB4C8DCA8xljVQDOEz/vEwPw5r4G\nOLwB7K3tAgCcbHNi3Zw8FGfoB3P+sgyxg21PgWi7QziWNYQ9qACgVnJQKaJ/ZEJpbmIZUadXGICs\no4woIYQQQsioWzE5CwCw9XjboB7f7hCymdmmHgJRgwYd4u2fnRISLjyE/aguX1AOXpu6PQCEppmE\nTGQJBaI8z+/jeX4xz/NzeZ6/nOf5Tp7nO3ieX8Pz/BSe58/jed7a7/MAqOlw4YxfbIo6fsWCwZfk\nSqQXs80jBHsfn2jHkp9vhM3jl2vxM3tYvRqqNL0KdVYXAr00YfL4g7ju6U+w+3QnWu3CG89A9qgS\nQ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This rolling method provides row entries, where every entry is then representative of the window. " + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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OpenHighLowCloseVolumeAdj Close
Date
2012-01-03NaNNaNNaNNaNNaNNaN
2012-01-04NaNNaNNaNNaNNaNNaN
2012-01-05NaNNaNNaNNaNNaNNaN
2012-01-06NaNNaNNaNNaNNaNNaN
2012-01-09NaNNaNNaNNaNNaNNaN
2012-01-10NaNNaNNaNNaNNaNNaN
2012-01-1159.49571459.89571459.07428559.4400009.007414e+0651.842984
2012-01-1259.46999959.74428559.00714359.3214298.231357e+0651.739567
2012-01-1359.32285759.63857158.94142859.2971437.965071e+0651.718386
2012-01-1759.39714359.70857159.10571459.3585727.355329e+0651.771963
2012-01-1859.45000059.79142859.21714359.5028577.047043e+0651.897808
2012-01-1959.57857259.96000059.33571559.7071437.412086e+0652.075984
2012-01-2059.76714360.18000059.57714359.9885717.908014e+0652.321443
2012-01-2360.01714360.38714359.78714360.2042858.017800e+0652.509586
2012-01-2460.15428660.67285759.97999960.4742858.035857e+0652.745077
2012-01-2560.44000060.95857260.27000060.7499997.776786e+0652.985553
2012-01-2660.71571461.20571460.44857160.9100007.624814e+0653.125103
2012-01-2760.86857261.36142960.57571461.0100007.678514e+0653.212323
2012-01-3060.94571561.44571460.66142861.1085717.450271e+0653.298295
2012-01-3161.05714361.49142960.64857161.1585717.362086e+0653.341905
\n", + "
" + ], + "text/plain": [ + " Open High Low Close Volume \\\n", + "Date \n", + "2012-01-03 NaN NaN NaN NaN NaN \n", + "2012-01-04 NaN NaN NaN NaN NaN \n", + "2012-01-05 NaN NaN NaN NaN NaN \n", + "2012-01-06 NaN NaN NaN NaN NaN \n", + "2012-01-09 NaN NaN NaN NaN NaN \n", + "2012-01-10 NaN NaN NaN NaN NaN \n", + "2012-01-11 59.495714 59.895714 59.074285 59.440000 9.007414e+06 \n", + "2012-01-12 59.469999 59.744285 59.007143 59.321429 8.231357e+06 \n", + "2012-01-13 59.322857 59.638571 58.941428 59.297143 7.965071e+06 \n", + "2012-01-17 59.397143 59.708571 59.105714 59.358572 7.355329e+06 \n", + "2012-01-18 59.450000 59.791428 59.217143 59.502857 7.047043e+06 \n", + "2012-01-19 59.578572 59.960000 59.335715 59.707143 7.412086e+06 \n", + "2012-01-20 59.767143 60.180000 59.577143 59.988571 7.908014e+06 \n", + "2012-01-23 60.017143 60.387143 59.787143 60.204285 8.017800e+06 \n", + "2012-01-24 60.154286 60.672857 59.979999 60.474285 8.035857e+06 \n", + "2012-01-25 60.440000 60.958572 60.270000 60.749999 7.776786e+06 \n", + "2012-01-26 60.715714 61.205714 60.448571 60.910000 7.624814e+06 \n", + "2012-01-27 60.868572 61.361429 60.575714 61.010000 7.678514e+06 \n", + "2012-01-30 60.945715 61.445714 60.661428 61.108571 7.450271e+06 \n", + "2012-01-31 61.057143 61.491429 60.648571 61.158571 7.362086e+06 \n", + "\n", + " Adj Close \n", + "Date \n", + "2012-01-03 NaN \n", + "2012-01-04 NaN \n", + "2012-01-05 NaN \n", + "2012-01-06 NaN \n", + "2012-01-09 NaN \n", + "2012-01-10 NaN \n", + "2012-01-11 51.842984 \n", + "2012-01-12 51.739567 \n", + "2012-01-13 51.718386 \n", + "2012-01-17 51.771963 \n", + "2012-01-18 51.897808 \n", + "2012-01-19 52.075984 \n", + "2012-01-20 52.321443 \n", + "2012-01-23 52.509586 \n", + "2012-01-24 52.745077 \n", + "2012-01-25 52.985553 \n", + "2012-01-26 53.125103 \n", + "2012-01-27 53.212323 \n", + "2012-01-30 53.298295 \n", + "2012-01-31 53.341905 " + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# 7 day rolling mean\n", + "df.rolling(7).mean().head(20)" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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SwrnH9XeGVLzGv6MfwBqbTFj34eyU3bjEcS+O0AR471xKf3s64JyDu0QTY5N8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\nhWu3c3jfLq5j0ZdrXWJ3K24xjFQQabZYq8DQc6C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AHXHyUOBN4ERVfQJ4DDeJR90M1yJy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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "df['Open'].plot()\n", + "df.rolling(window=30).mean()['Close'].plot()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Easiest way to add a legend is to make this rolling value a new column, then pandas does it automatically!" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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G2d9PEZ4Zna66Cmp3qPyUnInV7iSrpMpzvNLqICLISKfIQA5WhMKtP8OA62DL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\nC6tRr1XIVZdqPUOGXqb1G8maCpaWj4QR4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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "df['Close: 30 Day Mean'] = df['Close'].rolling(window=30).mean()\n", + "df[['Close','Close: 30 Day Mean']].plot(figsize=(16,6))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## expanding\n", + "\n", + "Now what if you want to take into account everything from the start of the time series as a rolling value? For instance, not just take into account a period of 7 days, or monthly rolling average, but instead, take into everything since the beginning of the time series, continuously:" + ] + }, + { + "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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79Kfth1U5LVO3XzJXH1tVpjQWHgIAABj3hlVEjTFeSRdK+uxbNt8p6XfGmE9L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\nmblV2/TuwE+A7YBdgCuBWfXdH87M2yPiR8ACYBl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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Optional specify a minimum number of periods\n", + "df['Close'].expanding(min_periods=1).mean().plot(figsize=(16,6))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Bollinger Bands\n", + "\n", + "We will talk a lot more about financial analysis plots and technical indicators, but here is one worth mentioning!\n", + "\n", + "More info : http://www.investopedia.com/terms/b/bollingerbands.asp\n", + "\n", + "*Developed by John Bollinger, Bollinger Bands® are volatility bands placed above and below a moving average. Volatility is based on the standard deviation, which changes as volatility increases and decreases. The bands automatically widen when volatility increases and narrow when volatility decreases. This dynamic nature of Bollinger Bands also means they can be used on different securities with the standard settings. For signals, Bollinger Bands can be used to identify Tops and Bottoms or to determine the strength of the trend.*\n", + "\n", + "*Bollinger Bands reflect direction with the 20-period SMA and volatility with the upper/lower bands. As such, they can be used to determine if prices are relatively high or low. According to Bollinger, the bands should contain 88-89% of price action, which makes a move outside the bands significant. Technically, prices are relatively high when above the upper band and relatively low when below the lower band. However, relatively high should not be regarded as bearish or as a sell signal. Likewise, relatively low should not be considered bullish or as a buy signal. Prices are high or low for a reason. As with other indicators, Bollinger Bands are not meant to be used as a stand alone tool. *" + ] + }, + { + "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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VtRWgBUaUXP4/VVXDS/77tRrjFEIIIcQtLrMoEw97D4b9bxuHErPRKOCo15ZO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\n6BxK59Yda5kjVbaisdR02G3V+GfRpgrR24BFFT8HiaKYUfFzJ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wVh15e9p7YQ\n1WlU9OrfHb6FWE8tXWONnN4nvsPzGnGuXUvdqlVUv/0OhqFDSLr7bkzDhx+7DXeAEKKdiPVF68mu\nyuax0x9DI2mUtAXggS93cN6gFH7c19Rjq6yhVjSze4MoKtwMJVkw6b4Or+PNO4iu+6nZugWUvkgv\nXTkS2edjt1aLNzc37Lzqd96h9PEnQt/XfPwJpsxMDl59Df7yckoffZQ+a1bzh4k9WZdbyfd7y5k2\nOKXF2znZ76f8+eeRfX40CfH4SkvxFRzCOHQIptGnEXS5qHrjdfzl5aQ+/RSo1cgeLzWffkrQ4SDx\n9j9hPv10JLU63BYFAoFAIDjl8ZoVUz9/eUVLIWpLU1rRle9udU6sIfaIU3PLXeX4gr4OU3Nj9Uoa\ncI2n5ojWP9FsK9+GWlIzMH5g2OP94/rz7rR3ue7Tf5Gbm8n5485gVHpX/rnpnwyMG8yq1VOQ/VEc\nrHQ2dWMAvtlRHPrz8PRonrt0mNIq8PWzoXAjjLgG1Vn3suzNPeworKWnIXw5lL+qCst7r3HTtn14\nfErE1l7vw2bUoGsQqPW2Xlgn3oH569vpJRWhanxW3fQmeOqUfuzJbWe5BX1e1BZrm8dPBdK6xFOv\n1hHrriXeoo/4PE9uLvnX/x6AqOnTSX3yiRMu2oUQ7UTsrNwJwOT0yfgCcmh8TU4la3Iq6RFv5qM/\njOWWD7awbr/y4TuqeyzsXQofXQ1RaTDksnavIfv9ePbswXJG+P5ZpxKSVouuWzqe3P2tjgUcTir+\n7yVMo0aR+vRTeHJyKZg7l9xzz0NlNmMaNQrXzz9T/eGHJNx0Ez3izXy/t5zpQ1JarFO/bRuVC18D\nrRZ8in22Oj4ex8qVoTmapCTi588navr0kOCMnn3hMbxzgUAgEAhOHurjEgHwFRWh79msrYokKc65\nYVq4xBnjcPld1PvrMWradvFsTqGjEIAu1vaFqFVnRSWpflF7mBNJVkUWfWP6tvvz6GrtSoJ3NjmB\nSiRJ4vKMy7m83+VsOljFylXrAMivdLUQOF9vbxKioRjGzs/h0E8w4wUYeS0A5wyws6OwtmVve5S6\nzdqvl1D11ltod+9mBvBT9n4+r/dhr/fRM94SipR6/EHoPQWACaosdO6zYO96+Ok16De9XREKp75Z\nEUBqtJEqQxSx7rpQu5xIsH/+OQDpb7yOaezYThGQEkK0E5FrzyXFnIJZa6bO7Wt1/OLMNBKseuaM\nTAsJ0dRoI3z4GNi6wnXfgCWh3Wu4fv6ZQHU1lrPaT0s5VdD36o1r8yYCdjtqmw333r0U33sfnr17\nkT0eEv50G9qUFDTJyRhHjMCbm0va/72IKTOTgnl/pOKFfyH7fJw74yrq3H5GHmZG5Nq0GYA+369C\n0umR611oEhLwV1fjXL2GuhXLSbrrLrTJySfi9gUCgUAg6PR44pRnF19hYeuDif1h15dQk6+0RWsg\nzqC4sFa5qzqMcDYSEqIdzFer1Nh0tpMmIur2BbjytXXkW7czs/eMDud7G5p01nsDobFdRbWhP2/O\nr2Z4s+edjQebBHm9NwA+t1KrmTgQhl8VOnb2wGSeWba3lTgqvvseapcsQZOUhGrOpQQ//ZD/LVnP\nuvgqoo1ahneNCUVEPf4gJKTj00bxIG/Du28riyT0g/Oe7viH8ZsRolZi3faIxaTs8+FYuxbjiBGY\nx43r+ITjRLjuPIITxP6a/fS09QQUpzKAu89rskBOj1Ua2WY0OLrqNSrlLWHxVhhxTYciFKB2yRJU\nJhOWMyYe7e13SmKvvopAjZ2CP8zDV1xMyYMP4c3LI/rii+n62muYRihtVyRJott779Jn3dpQy5S0\nF57HNns2lS+/wqCCHTxzydCWRfOAe9cutOnpaGJjUVvMaBKUvwNNTAy2GeeT9txzQoQKBAKBQNAO\ngeh4/JIKX1FR64Oj54IEvH5Oi8horEFJn62qj9ywaHfVbrQqbUTCNdoQfdJERHcV17KleC/ugIvB\n8R2bM3r8igB1NReixbXYjFquHtONTzcXsmpPy/rYiwdFcWeXLF7p8i28OgGq8+CcR6GZM2/fJAu9\nEy0kWJuiqZ6cHGqXLCHuht/Te9VKjDcojrz9ivciy1Dt8mEzadE3uOl6G9x0C9POo1q2UHHa3TDr\nFZi7EqwdP0+d6q65oOiBElMc3SP4t+8rLKT4oYfIPW8anl3ZWM+eehx2GDlCiHYiCh2FpFkV86HG\n+tBoo5ZYs/ILlRajCNE+SRaiTVqenDMYfnwGtOYWb6TaQvZ6qV26DMuUyagMJ1dfrF+KKTOTLn//\nO+69e8k5axL1mzcTN3cuyffdi+X0lqZOkiS1cOuTdDpSHnwAXffulD7xJHIgcPjyeA8ePGXb4AgE\nAoFAcDzQG3VUm6LDC9GUofC7JSAH4P1LldpEmgnRCJ1zZVlmXfE6RiSOQKfuWKjE6GNOmohodnEt\nKmM+AEMShnQ439NgFOTy+kNju4rrGJASxUUj0wgEZf63s5TfjetOtzgTI6U93Fe8gPmVT5C49UUw\nxcGF/1ZaqDRDkiTeu+E0Hp45CDkQoPzF/2P/+TNQWSzEXn89kiRhSohnXfJALs5ZxQ1ZXwJgM2qb\npeYqz1rbhtzPcM+/sWfeDMMuB50pop/FbyE1t3+KlfHnjsXqsuMra99Qq+bTz6j54L9o4uLo+uor\nxF577XHaZWQIIdpJcPqc1HprSTErNYiNEVG9VkW8RfnATI1WxKNBq2br/WdzYboHdnwKo37fqr9W\n2Gts+Img3U7Ueecdo7vonESdew49P/8MTWIiKouF6IsvivhcSacj/o/z8Obl4d65s8UxWZbxHTyI\nrlv3o7xjgUAgEAh+Oxg0aspMMeFTcwGSB8GEP0PNQahT6hXjjEpqbqU7MsOiFfkr2Fe9j6ndIosI\nReujqfacHBHR7OJa1MZDqGUjReUWKh2edue7G8Se06N89QeC7C6uZUBqFIO72DgrI4Hbp/blgRkD\nmKf5ik/1D2GS6+GyD+AvB+D6b2HopWHXTrTqMZceouCmm6h48UXMEyeQ/sbraGKV51S9RsWjo69h\naXomc3J/IMZdyzkDk0NCtPH5t9EqRX2EdYyyz3fKR0QlSaL/xFEAuHfsaHdu/fbt6DMy6P7hf7Gc\ncUanqAttjqgR7SQUO5QP1lSL0gOoMSKq16h57ZpRLN1VQkJzZ6ySLPjsRlDrYNzNEV3DvWsXAKZR\no4/izk8OdN260XPJ18huN5qYI2u/Yp44ESQJx48/YhzS9KbRX1ZO0OVCl37y9BgTCAQCgaCzYdCq\nKDbG4Cs61Pak1IYWE4WbISqVGIPy//JIIqJLsg7y9M4nMdIFnTuy+jiLzoLD64ho7okmu7gOla4c\nnzuRK1/7CYNWxb3T+nP12O5h59e4FB+S+oaIaF6lE48/yICUKFQqiTeva3hOdJRxUe3bfBccyenz\nv0BrjmpzD3IwiHPNGuxfLqZ28WIAku65u1UEzqBVE1SpyR5zLmfnb+T2WDu9Ey3UuLwA5JQ7OK1n\nHIGgokTVqiMUoqd4+5ZGDEOGIBmNOFevxjppUtg5ss9H/datRE2bdpx3FzkiItpJKHIq6SiHR0R1\nahXpcSZumNCz6S1GZS68NhVclXDZ+2BJjOganpwcNCkpqC3hbbVPddQWC5r4yHstNaKJiUHfuzf1\n27a1GK/fuhUAw6DwNukCgUAgEAg6xqhVU2qMwV9Whuz1hp+UNAiQoFSJABk1RkwaU4ctXGRZ5tav\nX6fSU0LlwWk89GVrB95wWLQWHL7OL0SDQZk9JXWodBUEPEqU2KTT8Mr3rTsGgJKOW+dWBKizoUZ0\nZ4NR0YDUw4TmhlfQyl6iZz6BIYwIlf1+ar/9lkO33ErOmWdRMPdGar/+GuOIEXT996vEXHNNq3O0\nahV9Ei1MOG8c6vh4zizfhez3o/9+GYPLc7j3c+XvN9iQgn24N0dH/BZScwFUej2WiROp+WIRnjba\nFDrWrCHocGCZOOE47y5yRES0k9AYEW0Uoo058nptmHcFKx4FlQZuXAVRqRFfw7NvH/qePX/tVn+T\nGIYMpu5/S3Ft2hSqGXWuXYuk12McKISoQCAQCAS/FINWSc0lGMRXWoqua9fWk3QmiO0JZbtCQ3HG\nuA5Tc2tcPtTGgwT9FpL1AymsduPw+LHo238EtugsOH1OZFnudOmMzTlUXY/D68KqrcXnVV62j0iP\n4acD4X8uJXZ36M+NZkX5lS4AesQ3BCrqa2DPN7DmeRh8CZkjTwu7VvH9D2D/7DPUsbEE7HYSbr+d\n2KuuRGVqv55z2e1KC8HS6dOoeuttcs4+G01RMQ9oDFw8/WEAGox9jyg1Vw4Gkd1uJEPkvTVPZpL+\neg+uC3+m8Lbb6P7RR6iMTW173Lt2UfSXu9B27dqpXHIPR0REOwlFziI0Kg0JJsV1tXlEtAWuKti1\nSOnZdAQi1F9djWfPHowjRxy1Pf+WiLnsclRGIwevvIp9Z5xJ3bJlmMeOJfWpJ0/5WgSBQCAQCI4l\nBp2aUpOSausrDGNY1EhifyhtEqKxhtgOU3Pzq1yojIfoYe3P9eOVl/GBZr3a28KitRCUg9T76yO4\ngxPHruJa1MaDAATcynNh3yQLdR4/wWDr+yypbRKiu0tq+XhjAd9llxJj0mLQqpWsuxeGwxfzILob\nTAvfMiVYX0/tkiXYZs6kz48/kLF5E/E3zu1QhDYn5uqrkbRagvZapOEjMfvdJDuVv89AKCIa8XIE\n6+ogGEQdHR35SScx2qQkUp9+Gs++HKrffz80LgeDHLrlVlRmM+lvvnlEfyfHGxER7SQUO4tJMiWh\nkpr1UQL02sMa1eYsV5zjBs4+ovWda9aCLGMZP77jyYJWGAcPotfS/1Hz+ef4DuYTNWMGRpGSK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zluHZz0DhJtj7PwIXvooeL1E4GXLofVj/IVTth9kLqdWfxsbgMG4oWab0INVbaI8kUxJrCtcg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\nCMQmLhKR1qdEVERERET2eaH+/XA1NdSWlFB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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "df['Close: 30 Day Mean'] = df['Close'].rolling(window=20).mean()\n", + "df['Upper'] = df['Close: 30 Day Mean'] + 2*df['Close'].rolling(window=20).std()\n", + "df['Lower'] = df['Close: 30 Day Mean'] - 2*df['Close'].rolling(window=20).std()\n", + "df[['Close','Close: 30 Day Mean','Upper','Lower']].plot(figsize=(16,6))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "For expanding operations, it doesn't help very much to visualize this against the daily data, but instead its a good way to get an idea of the \"stability\" of a stock. This idea of stability and volatility is something we are going to be exploring heavily in the next project, so let's jump straight into it!" + ] + } + ], + "metadata": { + "anaconda-cloud": {}, + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.6.1" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} diff --git a/06-Pandas-avec-Time-Series/Datetime Index.ipynb b/06-Pandas-avec-Time-Series/Datetime Index.ipynb new file mode 100644 index 0000000..50334f5 --- /dev/null +++ b/06-Pandas-avec-Time-Series/Datetime Index.ipynb @@ -0,0 +1,396 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Introduction aux Séries temporelles avec Pandas\n", + "\n", + "Beaucoup de nos données financières auront un index datatime, alors apprenons comment traiter ce genre de données avec pandas !" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import pandas as pd\n", + "import matplotlib.pyplot as plt" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "from datetime import datetime" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "# pour illustrer l'ordre des arguments\n", + "my_year = 2017\n", + "my_month = 1\n", + "my_day = 2\n", + "my_hour = 13\n", + "my_minute = 30\n", + "my_second = 15" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "# January 2nd, 2017\n", + "my_date = datetime(my_year,my_month,my_day)" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "datetime.datetime(2017, 1, 2, 0, 0)" + ] + }, + "metadata": {}, + "execution_count": 5 + } + ], + "source": [ + "# Par défaut 0:00\n", + "my_date " + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "# January 2nd, 2017 à 13:30:15\n", + "my_date_time = datetime(my_year,my_month,my_day,my_hour,my_minute,my_second)" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "datetime.datetime(2017, 1, 2, 13, 30, 15)" + ] + }, + "metadata": {}, + "execution_count": 7 + } + ], + "source": [ + "my_date_time" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Vous pouvez saisir n'importe quelle partie de l'objet datetime:" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "2" + ] + }, + "metadata": {}, + "execution_count": 8 + } + ], + "source": [ + "my_date.day" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "13" + ] + }, + "metadata": {}, + "execution_count": 9 + } + ], + "source": [ + "my_date_time.hour" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Index dataetime avec Pandas\n", + "\n", + "Vous traiterez généralement les séries temporelles comme un index lorsque vous travaillez avec des dataframes pandas obtenues à partir d'APIs financières. Heureusement, pandas a beaucoup de fonctions et de méthodes pour travailler avec des séries temporelles !" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "[datetime.datetime(2016, 1, 1, 0, 0), datetime.datetime(2016, 1, 2, 0, 0)]" + ] + }, + "metadata": {}, + "execution_count": 10 + } + ], + "source": [ + "# Créer un exemple de liste/tableau datetime\n", + "first_two = [datetime(2016, 1, 1), datetime(2016, 1, 2)]\n", + "first_two" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "DatetimeIndex(['2016-01-01', '2016-01-02'], dtype='datetime64[ns]', freq=None)" + ] + }, + "metadata": {}, + "execution_count": 11 + } + ], + "source": [ + "# Converti en un index\n", + "dt_ind = pd.DatetimeIndex(first_two)\n", + "dt_ind" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "name": "stdout", + "text": [ + "[[-1.05763777 -0.15818632]\n [-0.79985649 -0.93157171]]\n" + ] + } + ], + "source": [ + "# Quelques données alétaoires\n", + "data = np.random.randn(2,2)\n", + "print(data)\n", + "cols = ['A','B']" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [], + "source": [ + "df = pd.DataFrame(data,dt_ind,cols)" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " A B\n", + "2016-01-01 -1.057638 -0.158186\n", + "2016-01-02 -0.799856 -0.931572" + ], + "text/html": "
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" + }, + "metadata": {}, + "execution_count": 14 + } + ], + "source": [ + "df" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "DatetimeIndex(['2016-01-01', '2016-01-02'], dtype='datetime64[ns]', freq=None)" + ] + }, + "metadata": {}, + "execution_count": 15 + } + ], + "source": [ + "df.index" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "1" + ] + }, + "metadata": {}, + "execution_count": 16 + } + ], + "source": [ + "# Emplacement de la date la plus récente\n", + "df.index.argmax()" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "Timestamp('2016-01-02 00:00:00')" + ] + }, + "metadata": {}, + "execution_count": 17 + } + ], + "source": [ + "df.index.max()" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "0" + ] + }, + "metadata": {}, + "execution_count": 18 + } + ], + "source": [ + "# Emplacement de la date la plus ancienne\n", + "df.index.argmin()" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "Timestamp('2016-01-01 00:00:00')" + ] + }, + "metadata": {}, + "execution_count": 19 + } + ], + "source": [ + "df.index.min()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Top, passons à la suite!" + ] + } + ], + "metadata": { + "anaconda-cloud": {}, + "kernelspec": { + "name": "python3", + "display_name": "Python 3.7.9 64-bit ('pyfinance': conda)", + "metadata": { + "interpreter": { + "hash": "e89404a230d8800c54ad520c7b67d1bd9bb833a07b37dd3e521a178a3dc34904" + } + } + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.7.9-final" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} \ No newline at end of file diff --git a/06-Pandas-avec-Time-Series/Décalage Temporel.ipynb b/06-Pandas-avec-Time-Series/Décalage Temporel.ipynb new file mode 100644 index 0000000..8e8c5ca --- /dev/null +++ b/06-Pandas-avec-Time-Series/Décalage Temporel.ipynb @@ -0,0 +1,281 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Décalage Temporel\n", + "\n", + "Parfois, vous pouvez avoir besoin de déplacer toutes vos données vers le haut ou vers le bas le long de l'index des séries temporelles, en fait, beaucoup de méthodes intégrées pandas le font. Ce n'est pas quelque chose que nous ferons souvent dans le cours, mais c'est très bon à connaître !" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import pandas as pd\n", + "\n", + "import matplotlib.pyplot as plt\n", + "%matplotlib inline" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "df = pd.read_csv('time_data/walmart_stock.csv',index_col='Date')\n", + "df.index = pd.to_datetime(df.index)" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " Open High Low Close Volume Adj Close\n", + "Date \n", + "2012-01-03 59.970001 61.060001 59.869999 60.330002 12668800 52.619235\n", + "2012-01-04 60.209999 60.349998 59.470001 59.709999 9593300 52.078475\n", + "2012-01-05 59.349998 59.619999 58.369999 59.419998 12768200 51.825539\n", + "2012-01-06 59.419998 59.450001 58.869999 59.000000 8069400 51.459220\n", + "2012-01-09 59.029999 59.549999 58.919998 59.180000 6679300 51.616215" + ], + "text/html": "
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OpenHighLowCloseVolumeAdj Close
Date
2012-01-0359.97000161.06000159.86999960.3300021266880052.619235
2012-01-0460.20999960.34999859.47000159.709999959330052.078475
2012-01-0559.34999859.61999958.36999959.4199981276820051.825539
2012-01-0659.41999859.45000158.86999959.000000806940051.459220
2012-01-0959.02999959.54999958.91999859.180000667930051.616215
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" + }, + "metadata": {}, + "execution_count": 3 + } + ], + "source": [ + "df.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " Open High Low Close Volume Adj Close\n", + "Date \n", + "2016-12-23 69.430000 69.750000 69.360001 69.540001 4803900 69.032411\n", + "2016-12-27 69.300003 69.820000 69.250000 69.699997 4435700 69.191240\n", + "2016-12-28 69.940002 70.000000 69.260002 69.309998 4875700 68.804087\n", + "2016-12-29 69.209999 69.519997 69.120003 69.260002 4298400 68.754456\n", + "2016-12-30 69.120003 69.430000 68.830002 69.120003 6889500 68.615479" + ], + "text/html": "
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OpenHighLowCloseVolumeAdj Close
Date
2016-12-2369.43000069.75000069.36000169.540001480390069.032411
2016-12-2769.30000369.82000069.25000069.699997443570069.191240
2016-12-2869.94000270.00000069.26000269.309998487570068.804087
2016-12-2969.20999969.51999769.12000369.260002429840068.754456
2016-12-3069.12000369.43000068.83000269.120003688950068.615479
\n
" + }, + "metadata": {}, + "execution_count": 4 + } + ], + "source": [ + "df.tail()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## .shift() - décalage en avance" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " Open High Low Close Volume Adj Close\n", + "Date \n", + "2012-01-03 NaN NaN NaN NaN NaN NaN\n", + "2012-01-04 59.970001 61.060001 59.869999 60.330002 12668800.0 52.619235\n", + "2012-01-05 60.209999 60.349998 59.470001 59.709999 9593300.0 52.078475\n", + "2012-01-06 59.349998 59.619999 58.369999 59.419998 12768200.0 51.825539\n", + "2012-01-09 59.419998 59.450001 58.869999 59.000000 8069400.0 51.459220" + ], + "text/html": "
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OpenHighLowCloseVolumeAdj Close
Date
2012-01-03NaNNaNNaNNaNNaNNaN
2012-01-0459.97000161.06000159.86999960.33000212668800.052.619235
2012-01-0560.20999960.34999859.47000159.7099999593300.052.078475
2012-01-0659.34999859.61999958.36999959.41999812768200.051.825539
2012-01-0959.41999859.45000158.86999959.0000008069400.051.459220
\n
" + }, + "metadata": {}, + "execution_count": 5 + } + ], + "source": [ + "df.shift(1).head()" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " Open High Low Close Volume Adj Close\n", + "Date \n", + "2016-12-23 71.239998 71.239998 69.209999 69.589996 12106800.0 69.082042\n", + "2016-12-27 69.430000 69.750000 69.360001 69.540001 4803900.0 69.032411\n", + "2016-12-28 69.300003 69.820000 69.250000 69.699997 4435700.0 69.191240\n", + "2016-12-29 69.940002 70.000000 69.260002 69.309998 4875700.0 68.804087\n", + "2016-12-30 69.209999 69.519997 69.120003 69.260002 4298400.0 68.754456" + ], + "text/html": "
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OpenHighLowCloseVolumeAdj Close
Date
2016-12-2371.23999871.23999869.20999969.58999612106800.069.082042
2016-12-2769.43000069.75000069.36000169.5400014803900.069.032411
2016-12-2869.30000369.82000069.25000069.6999974435700.069.191240
2016-12-2969.94000270.00000069.26000269.3099984875700.068.804087
2016-12-3069.20999969.51999769.12000369.2600024298400.068.754456
\n
" + }, + "metadata": {}, + "execution_count": 6 + } + ], + "source": [ + "# You will lose that last piece of data that no longer has an index!\n", + "df.shift(1).tail()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## shift() - décalage en arrière" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " Open High Low Close Volume Adj Close\n", + "Date \n", + "2012-01-03 60.209999 60.349998 59.470001 59.709999 9593300.0 52.078475\n", + "2012-01-04 59.349998 59.619999 58.369999 59.419998 12768200.0 51.825539\n", + "2012-01-05 59.419998 59.450001 58.869999 59.000000 8069400.0 51.459220\n", + "2012-01-06 59.029999 59.549999 58.919998 59.180000 6679300.0 51.616215\n", + "2012-01-09 59.430000 59.709999 58.980000 59.040001 6907300.0 51.494109" + ], + "text/html": "
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OpenHighLowCloseVolumeAdj Close
Date
2012-01-0360.20999960.34999859.47000159.7099999593300.052.078475
2012-01-0459.34999859.61999958.36999959.41999812768200.051.825539
2012-01-0559.41999859.45000158.86999959.0000008069400.051.459220
2012-01-0659.02999959.54999958.91999859.1800006679300.051.616215
2012-01-0959.43000059.70999958.98000059.0400016907300.051.494109
\n
" + }, + "metadata": {}, + "execution_count": 7 + } + ], + "source": [ + "df.shift(-1).head()" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " Open High Low Close Volume Adj Close\n", + "Date \n", + "2016-12-23 69.300003 69.820000 69.250000 69.699997 4435700.0 69.191240\n", + "2016-12-27 69.940002 70.000000 69.260002 69.309998 4875700.0 68.804087\n", + "2016-12-28 69.209999 69.519997 69.120003 69.260002 4298400.0 68.754456\n", + "2016-12-29 69.120003 69.430000 68.830002 69.120003 6889500.0 68.615479\n", + "2016-12-30 NaN NaN NaN NaN NaN NaN" + ], + "text/html": "
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OpenHighLowCloseVolumeAdj Close
Date
2016-12-2369.30000369.82000069.25000069.6999974435700.069.191240
2016-12-2769.94000270.00000069.26000269.3099984875700.068.804087
2016-12-2869.20999969.51999769.12000369.2600024298400.068.754456
2016-12-2969.12000369.43000068.83000269.1200036889500.068.615479
2016-12-30NaNNaNNaNNaNNaNNaN
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" + }, + "metadata": {}, + "execution_count": 8 + } + ], + "source": [ + "df.shift(-1).tail()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Décalage basé sur le Code Time String\n", + "### Utilisation de tshift()" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " Open High Low Close Volume Adj Close\n", + "Date \n", + "2012-01-31 59.970001 61.060001 59.869999 60.330002 12668800 52.619235\n", + "2012-01-31 60.209999 60.349998 59.470001 59.709999 9593300 52.078475\n", + "2012-01-31 59.349998 59.619999 58.369999 59.419998 12768200 51.825539\n", + "2012-01-31 59.419998 59.450001 58.869999 59.000000 8069400 51.459220\n", + "2012-01-31 59.029999 59.549999 58.919998 59.180000 6679300 51.616215" + ], + "text/html": "
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OpenHighLowCloseVolumeAdj Close
Date
2012-01-3159.97000161.06000159.86999960.3300021266880052.619235
2012-01-3160.20999960.34999859.47000159.709999959330052.078475
2012-01-3159.34999859.61999958.36999959.4199981276820051.825539
2012-01-3159.41999859.45000158.86999959.000000806940051.459220
2012-01-3159.02999959.54999958.91999859.180000667930051.616215
\n
" + }, + "metadata": {}, + "execution_count": 9 + } + ], + "source": [ + "# Avancer tout d'un mois\n", + "df.tshift(periods=1,freq='M').head()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "C'est tout pour maintenant!" + ] + } + ], + "metadata": { + "anaconda-cloud": {}, + "kernelspec": { + "name": "python3", + "display_name": "Python 3.7.9 64-bit ('pyfinance': conda)", + "metadata": { + "interpreter": { + "hash": "e89404a230d8800c54ad520c7b67d1bd9bb833a07b37dd3e521a178a3dc34904" + } + } + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.7.9-final" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} \ No newline at end of file diff --git a/06-Pandas-avec-Time-Series/Ré-échantillonnage du Temps.ipynb b/06-Pandas-avec-Time-Series/Ré-échantillonnage du Temps.ipynb new file mode 100644 index 0000000..9aa79a6 --- /dev/null +++ b/06-Pandas-avec-Time-Series/Ré-échantillonnage du Temps.ipynb @@ -0,0 +1,478 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Ré-échantillonnage du temps\n", + "\n", + "Apprenons à échantillonner des données de séries temporelles ! Cela sera utile plus tard dans le cours !" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import pandas as pd" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "%matplotlib inline\n", + "import matplotlib.pyplot as plt" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "# Saisir les données\n", + "# Une alternative plus rapide\n", + "# df = pd.read_csv('time_data/walmart_stock.csv',index_col='Date')\n", + "df = pd.read_csv('time_data/walmart_stock.csv')" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " Date Open High Low Close Volume Adj Close\n", + "0 2012-01-03 59.970001 61.060001 59.869999 60.330002 12668800 52.619235\n", + "1 2012-01-04 60.209999 60.349998 59.470001 59.709999 9593300 52.078475\n", + "2 2012-01-05 59.349998 59.619999 58.369999 59.419998 12768200 51.825539\n", + "3 2012-01-06 59.419998 59.450001 58.869999 59.000000 8069400 51.459220\n", + "4 2012-01-09 59.029999 59.549999 58.919998 59.180000 6679300 51.616215" + ], + "text/html": "
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DateOpenHighLowCloseVolumeAdj Close
02012-01-0359.97000161.06000159.86999960.3300021266880052.619235
12012-01-0460.20999960.34999859.47000159.709999959330052.078475
22012-01-0559.34999859.61999958.36999959.4199981276820051.825539
32012-01-0659.41999859.45000158.86999959.000000806940051.459220
42012-01-0959.02999959.54999958.91999859.180000667930051.616215
\n
" + }, + "metadata": {}, + "execution_count": 4 + } + ], + "source": [ + "df.head()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Créer un index de date à partir de la colonne Date" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [], + "source": [ + "df['Date'] = df['Date'].apply(pd.to_datetime)" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " Date Open High Low Close Volume Adj Close\n", + "0 2012-01-03 59.970001 61.060001 59.869999 60.330002 12668800 52.619235\n", + "1 2012-01-04 60.209999 60.349998 59.470001 59.709999 9593300 52.078475\n", + "2 2012-01-05 59.349998 59.619999 58.369999 59.419998 12768200 51.825539\n", + "3 2012-01-06 59.419998 59.450001 58.869999 59.000000 8069400 51.459220\n", + "4 2012-01-09 59.029999 59.549999 58.919998 59.180000 6679300 51.616215" + ], + "text/html": "
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DateOpenHighLowCloseVolumeAdj Close
02012-01-0359.97000161.06000159.86999960.3300021266880052.619235
12012-01-0460.20999960.34999859.47000159.709999959330052.078475
22012-01-0559.34999859.61999958.36999959.4199981276820051.825539
32012-01-0659.41999859.45000158.86999959.000000806940051.459220
42012-01-0959.02999959.54999958.91999859.180000667930051.616215
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" + }, + "metadata": {}, + "execution_count": 6 + } + ], + "source": [ + "df.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "df.set_index('Date',inplace=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " Open High Low Close Volume Adj Close\n", + "Date \n", + "2012-01-03 59.970001 61.060001 59.869999 60.330002 12668800 52.619235\n", + "2012-01-04 60.209999 60.349998 59.470001 59.709999 9593300 52.078475\n", + "2012-01-05 59.349998 59.619999 58.369999 59.419998 12768200 51.825539\n", + "2012-01-06 59.419998 59.450001 58.869999 59.000000 8069400 51.459220\n", + "2012-01-09 59.029999 59.549999 58.919998 59.180000 6679300 51.616215" + ], + "text/html": "
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OpenHighLowCloseVolumeAdj Close
Date
2012-01-0359.97000161.06000159.86999960.3300021266880052.619235
2012-01-0460.20999960.34999859.47000159.709999959330052.078475
2012-01-0559.34999859.61999958.36999959.4199981276820051.825539
2012-01-0659.41999859.45000158.86999959.000000806940051.459220
2012-01-0959.02999959.54999958.91999859.180000667930051.616215
\n
" + }, + "metadata": {}, + "execution_count": 8 + } + ], + "source": [ + "df.head()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## resample()\n", + "\n", + "Une opération courante avec les données de séries temporelles est la restructuration basée sur l'indice de série temporelle. Voyons comment utiliser la méthode resample().\n", + "\n", + "#### Toutes les possibilités" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "
AliasDescription
Bbusiness day frequency
Ccustom business day frequency (experimental)
Dcalendar day frequency
Wweekly frequency
Mmonth end frequency
SMsemi-month end frequency (15th and end of month)
BMbusiness month end frequency
CBMcustom business month end frequency
MSmonth start frequency
SMSsemi-month start frequency (1st and 15th)
BMSbusiness month start frequency
CBMScustom business month start frequency
Qquarter end frequency
BQbusiness quarter endfrequency
QSquarter start frequency
BQSbusiness quarter start frequency
Ayear end frequency
BAbusiness year end frequency
ASyear start frequency
BASbusiness year start frequency
BHbusiness hour frequency
Hhourly frequency
T, minminutely frequency
Ssecondly frequency
L, msmilliseconds
U, usmicroseconds
Nnanoseconds
" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "DatetimeIndex(['2012-01-03', '2012-01-04', '2012-01-05', '2012-01-06',\n", + " '2012-01-09', '2012-01-10', '2012-01-11', '2012-01-12',\n", + " '2012-01-13', '2012-01-17',\n", + " ...\n", + " '2016-12-16', '2016-12-19', '2016-12-20', '2016-12-21',\n", + " '2016-12-22', '2016-12-23', '2016-12-27', '2016-12-28',\n", + " '2016-12-29', '2016-12-30'],\n", + " dtype='datetime64[ns]', name='Date', length=1258, freq=None)" + ] + }, + "metadata": {}, + "execution_count": 9 + } + ], + "source": [ + "# Notre index\n", + "df.index" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Vous devez appeler **resample** avec le paramètre **rule**, puis vous devez appeler une fonction d'agrégation. En effet, à cause du rééchantillonnage, nous avons besoin d'une règle mathématique pour joindre les lignes entre elles (moyenne, somme, décompte, etc...)" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " Open High Low Close Volume \\\n", + "Date \n", + "2012-12-31 67.158680 67.602120 66.786520 67.215120 9.239015e+06 \n", + "2013-12-31 75.264048 75.729405 74.843055 75.320516 6.951496e+06 \n", + "2014-12-31 77.274524 77.740040 76.864405 77.327381 6.515612e+06 \n", + "2015-12-31 72.569405 73.064167 72.034802 72.491111 9.040769e+06 \n", + "2016-12-31 69.481349 70.019643 69.023492 69.547063 9.371645e+06 \n", + "\n", + " Adj Close \n", + "Date \n", + "2012-12-31 59.389349 \n", + "2013-12-31 68.147179 \n", + "2014-12-31 71.709712 \n", + "2015-12-31 68.831426 \n", + "2016-12-31 68.054229 " + ], + "text/html": "
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OpenHighLowCloseVolumeAdj Close
Date
2012-12-3167.15868067.60212066.78652067.2151209.239015e+0659.389349
2013-12-3175.26404875.72940574.84305575.3205166.951496e+0668.147179
2014-12-3177.27452477.74004076.86440577.3273816.515612e+0671.709712
2015-12-3172.56940573.06416772.03480272.4911119.040769e+0668.831426
2016-12-3169.48134970.01964369.02349269.5470639.371645e+0668.054229
\n
" + }, + "metadata": {}, + "execution_count": 10 + } + ], + "source": [ + "# Moyennes annuelles\n", + "df.resample(rule='A').mean()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Ré-échantillonnage personnalisé\n", + "\n", + "Vous pouvez également créer techniquement votre propre fonction de rééchantillonnage personnalisé:" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [], + "source": [ + "def first_day(entry):\n", + " \"\"\"\n", + " Retourne la première instance de la période, \n", + " quel que soit le taux d'échantillonnage.\n", + " \"\"\"\n", + " return entry[0]" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " Open High Low Close Volume Adj Close\n", + "Date \n", + "2012-12-31 59.970001 61.060001 59.869999 60.330002 12668800 52.619235\n", + "2013-12-31 68.930000 69.239998 68.449997 69.239998 10390800 61.879708\n", + "2014-12-31 78.720001 79.470001 78.500000 78.910004 6878000 72.254228\n", + "2015-12-31 86.269997 86.720001 85.550003 85.900002 4501800 80.624861\n", + "2016-12-31 60.500000 61.490002 60.360001 61.459999 11989200 59.289713" + ], + "text/html": "
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OpenHighLowCloseVolumeAdj Close
Date
2012-12-3159.97000161.06000159.86999960.3300021266880052.619235
2013-12-3168.93000069.23999868.44999769.2399981039080061.879708
2014-12-3178.72000179.47000178.50000078.910004687800072.254228
2015-12-3186.26999786.72000185.55000385.900002450180080.624861
2016-12-3160.50000061.49000260.36000161.4599991198920059.289713
\n
" + }, + "metadata": {}, + "execution_count": 12 + } + ], + "source": [ + "df.resample(rule='A').apply(first_day)" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "Text(0.5, 1.0, 'Yearly Mean Close Price for Walmart')" + ] + }, + "metadata": {}, + "execution_count": 13 + }, + { + "output_type": "display_data", + "data": { + "text/plain": "
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+ }, + "metadata": { + "needs_background": "light" + } + } + ], + "source": [ + "df['Close'].resample('A').mean().plot(kind='bar')\n", + "plt.title('Yearly Mean Close Price for Walmart')" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "Text(0.5, 1.0, 'Monthly Max Opening Price for Walmart')" + ] + }, + "metadata": {}, + "execution_count": 14 + }, + { + "output_type": "display_data", + "data": { + "text/plain": "
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+ }, + "metadata": { + "needs_background": "light" + } + } + ], + "source": [ + "df['Open'].resample('M').max().plot(kind='bar',figsize=(16,6))\n", + "plt.title('Monthly Max Opening Price for Walmart')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Voilà! Prochain notebook, nous apprendrons les décalages de temps !" + ] + } + ], + "metadata": { + "anaconda-cloud": {}, + "kernelspec": { + "name": "python3", + "display_name": "Python 3.7.9 64-bit ('pyfinance': conda)", + "metadata": { + "interpreter": { + "hash": "e89404a230d8800c54ad520c7b67d1bd9bb833a07b37dd3e521a178a3dc34904" + } + } + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.7.9-final" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} \ No newline at end of file diff --git a/06-Pandas-avec-Time-Series/Rolling et Expanding.ipynb b/06-Pandas-avec-Time-Series/Rolling et Expanding.ipynb new file mode 100644 index 0000000..12e4e84 --- /dev/null +++ b/06-Pandas-avec-Time-Series/Rolling et Expanding.ipynb @@ -0,0 +1,359 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Rolling et Expanding\n", + "\n", + "Une technique très courante avec les séries temporelles consiste à créer des données à partir d'une moyenne mobile. Regardons comment faire cela facilement avec pandas !" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import pandas as pd\n", + "import matplotlib.pyplot as plt\n", + "%matplotlib inline" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "# La meilleure façon de lire les données avec l'index des séries temporelles !\n", + "df = pd.read_csv('time_data/walmart_stock.csv',index_col='Date',parse_dates=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " Open High Low Close Volume Adj Close\n", + "Date \n", + "2012-01-03 59.970001 61.060001 59.869999 60.330002 12668800 52.619235\n", + "2012-01-04 60.209999 60.349998 59.470001 59.709999 9593300 52.078475\n", + "2012-01-05 59.349998 59.619999 58.369999 59.419998 12768200 51.825539\n", + "2012-01-06 59.419998 59.450001 58.869999 59.000000 8069400 51.459220\n", + "2012-01-09 59.029999 59.549999 58.919998 59.180000 6679300 51.616215" + ], + "text/html": "
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OpenHighLowCloseVolumeAdj Close
Date
2012-01-0359.97000161.06000159.86999960.3300021266880052.619235
2012-01-0460.20999960.34999859.47000159.709999959330052.078475
2012-01-0559.34999859.61999958.36999959.4199981276820051.825539
2012-01-0659.41999859.45000158.86999959.000000806940051.459220
2012-01-0959.02999959.54999958.91999859.180000667930051.616215
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" + }, + "metadata": {}, + "execution_count": 3 + } + ], + "source": [ + "df.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "" + ] + }, + "metadata": {}, + "execution_count": 4 + }, + { + "output_type": "display_data", + "data": { + "text/plain": "
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Cette méthode de roulement (rolling) fournit des entrées de lignes, où chaque entrée est alors représentative de la période. " + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " Open High Low Close Volume \\\n", + "Date \n", + "2012-01-03 NaN NaN NaN NaN NaN \n", + "2012-01-04 NaN NaN NaN NaN NaN \n", + "2012-01-05 NaN NaN NaN NaN NaN \n", + "2012-01-06 NaN NaN NaN NaN NaN \n", + "2012-01-09 NaN NaN NaN NaN NaN \n", + "2012-01-10 NaN NaN NaN NaN NaN \n", + "2012-01-11 59.495714 59.895714 59.074285 59.440000 9.007414e+06 \n", + "2012-01-12 59.469999 59.744285 59.007143 59.321429 8.231357e+06 \n", + "2012-01-13 59.322857 59.638571 58.941428 59.297143 7.965071e+06 \n", + "2012-01-17 59.397143 59.708571 59.105714 59.358572 7.355329e+06 \n", + "2012-01-18 59.450000 59.791428 59.217143 59.502857 7.047043e+06 \n", + "2012-01-19 59.578572 59.960000 59.335715 59.707143 7.412086e+06 \n", + "2012-01-20 59.767143 60.180000 59.577143 59.988571 7.908014e+06 \n", + "2012-01-23 60.017143 60.387143 59.787143 60.204285 8.017800e+06 \n", + "2012-01-24 60.154286 60.672857 59.979999 60.474285 8.035857e+06 \n", + "2012-01-25 60.440000 60.958572 60.270000 60.749999 7.776786e+06 \n", + "2012-01-26 60.715714 61.205714 60.448571 60.910000 7.624814e+06 \n", + "2012-01-27 60.868572 61.361429 60.575714 61.010000 7.678514e+06 \n", + "2012-01-30 60.945715 61.445714 60.661428 61.108571 7.450271e+06 \n", + "2012-01-31 61.057143 61.491429 60.648571 61.158571 7.362086e+06 \n", + "\n", + " Adj Close \n", + "Date \n", + "2012-01-03 NaN \n", + "2012-01-04 NaN \n", + "2012-01-05 NaN \n", + "2012-01-06 NaN \n", + "2012-01-09 NaN \n", + "2012-01-10 NaN \n", + "2012-01-11 51.842984 \n", + "2012-01-12 51.739567 \n", + "2012-01-13 51.718386 \n", + "2012-01-17 51.771963 \n", + "2012-01-18 51.897808 \n", + "2012-01-19 52.075984 \n", + "2012-01-20 52.321443 \n", + "2012-01-23 52.509586 \n", + "2012-01-24 52.745077 \n", + "2012-01-25 52.985553 \n", + "2012-01-26 53.125103 \n", + "2012-01-27 53.212323 \n", + "2012-01-30 53.298295 \n", + "2012-01-31 53.341905 " + ], + "text/html": "
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\n
" + }, + "metadata": {}, + "execution_count": 5 + } + ], + "source": [ + "# Moyenne glissante sur 7 jours\n", + "df.rolling(7).mean().head(20)" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "" + ] + }, + "metadata": {}, + "execution_count": 6 + }, + { + "output_type": "display_data", + "data": { + "text/plain": "
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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ], + "source": [ + "df['Open'].plot()\n", + "df.rolling(window=30).mean()['Close'].plot()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "La façon la plus simple d'ajouter une légende est de faire de cette valeur de roulement une nouvelle colonne, puis pandas le fait automatiquement !" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "" + ] + }, + "metadata": {}, + "execution_count": 7 + }, + { + "output_type": "display_data", + "data": { + "text/plain": "
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EOFpJ4CmEEEKIZrN2fyGzN2axZl9Bo57H7nT5Ak+t1FZld24ZDpeKWwWLUUdUiLHG40qtjQt4hRC1jyoRJ7bD/bqQS4NCCCGEaDYVdm2/5YGCykY9j91ZlfE06rTZchNe+pMNj00CwGLUY9AHXk9fsng+u+e8zcC0eDKLKjhl7GQskfFgLYH4LtBuYKPWJMSJwGKxkJ+fT1xcnG+uoxCqqpKfn4/FYmnwYyTwFEIIIUSzqbBr400OFFQ06nm841QA/M99rQ7t+c0GHZFGPXpcTNP/CTO/YOTW2QzUG3EfUOiGC/PPP1Q9MCQG7lwPlqhGrUuI411ycjIZGRnk5ua29lLEUcZisZCcnNzg4yXwFEIIIUSzqfQGnoWNDDz9Mp7+szptDm2vp9moJzrEyL2Gmdxs+BkOtmdh+BnclXc2JYRhxMn7U0IZ2zUWsjbAz3fBui9gxM2NWpcQxzuj0UjHjh1bexniOCB7PIUQQgjRbMpt3oxnw0ttn/11K28t3BVwmxZ46j3PWTUuxebUnt9i1BNuz+Ua/Ry+dY2GuzfzivlmSggDwIGB/Iie0H4wDLkGOoyCeY9BxprGvD0hhBANJIGnEEIIIZpNhcOzx7OBGU+7080nS9P5z2/b6fzgLyzeqZX32fzGqfjP6ZyxYj8AFoOOHns/Ro+LV53ngaKQV2YLeG7/2Z9M+xjCE2Hm5eCSBkRCCNHcJPAUQgghRLPxltqWWp31jlQprnTQ65HfsHrKZ11ulXf+3A1oezzNhpqB50dL0gGIL95I7JbpLA0dzwG1jdb4oswe8Pzl9qoSXcITYcqzUJoJexY25i0KIYRoAAk8hRBCCNFsyv32Y9bXYGjRjlycbq09/38vHgBAl4RwIHCP56XDUwFY+eAEZlw/nMu6w4BFN0J4G7b1/ScAeWV27C43neLDfM9fY7RKl1PBGAbbfz3yNyiEEKJBJPAUQgghRLOpdDh9XWjPf3tpncfuzCnz/f2cAe1pHx1CqSe7afcrtR3XPZH0584gMdLCqC7xPN32L3T2UrhiFo6QBAD25ZcDMLxTrO85S61VmVIADGbodArsmgsyp1AIIZqVBJ5CCCGEaDYVdhcdYkMBbZ9mwD7LanZmlwLw212jAYgMMVJS6fQ91mwMctritMOGmdD9NIjrjMEz4zM9X8uuDk2rCjwLy7XS20vfX84/v16v3djlVCjaD7nbGvEuhRBC1EcCTyGEEEI0mwqbizaRVQPGKx2uWo9Nz69gXPcEeiRFAhBpMVBideB0uSmxOogONVUdrKqQsRp+vhsq8mHgFQAYPFnR9Dwt4+kfeGYUaZ11l+7O55s1GdqNPc7Qym2/uwFyJPgUQojmIoGnEEIIIZpNhcNJmNnAk+f2AcBqrxl4ut0qB4sq2Z9fToe4qj2ZWsbTQWGFA1WF+HBP4FmYDt9cCx9MgPWfw4DLoOtEAEx6b8aznHCzgeSYECLM2tjyg4WV5JRaA188Igku+BCKD8L746Eks4k/A0IIIUACTyGEEEI0owqbixCTnlCjNoMzWMbz7T93M+q5Pyi3u0iLC/XdHmkxsu1QKdd/uhqAuDCzluV8ZzRs+R5G/x/cuxvOfQvvRlJvxnNffgXto0NQFIVkT6nvwaJKTv/vX9pxnpJcALpPgevngdMKS19v8s+BEEIICTyFEEII0Ywq7C5CjXpCTLUHnsv35Pv+7p/xPGdAO07qHMf6A0UApNq2w2dTITQObl0JEx6B0NiA5/Lt8cwrp31MCADPTO3Dfy7oh16noFPAqFfo0TYicBFxnaHfRbD6IyjLbfT7FkIIEUgCTyGEEEI0mwq7Vmob4s14Bim1tXjuA+jgl/Ec0y2BGdcPZ0w3rVNt5/UvgTEUrv4Z4rsGfT3vyJVSm5NUT6ZzYGoMFw5JYe7dY1jwz7GM656I0xWki+3Jd4OzUivfFUII0aQk8BRCCCFEs6mwa6W23uDS6qjZ1TbEL/BMjgkNuE9RFF65sD8vTE4g5OBfMOhKiEqu9fUMuqpTm0EdYgLu65QQTpjZgFGvC95dN6EbtOkLG7/RuuUKIYRoMg0KPBVFuVtRlM2KomxSFOULRVEsiqI8pijKQUVR1nn+nN7cixVCCCHEsaHM5iTt/tk43WpAqa01SKmtf+DpzVj6iws3M820DEV1Q78L63xdg75q7+bQtJhaj3G6a5nbOepOOLQBfrhVZnsKIUQTMtR3gKIo7YE7gF6qqlYqivIVcLHn7ldUVX2xORcohBBCiGPPuv1Fvr+H+pfaBgs8Tfoat/nkbIVd82DJa9BhVK0ltl4mfVXg2jYqJOgxRr0Oh7OWeaL9pkHBHlj4DAy+GtJG1fl6QgghGqahpbYGIERRFAMQCkivcSGEEELU6u/9hb6/h5r0de7xdHmyj+2jqwWKK9+Ht0fB7w+B3giTn6n3db0ZzxrP5ceoV3DUlvEEGHEzKHot4BVCCNEk6g08VVU9CLwI7AeygGJVVX/33H2boigbFEX5UFGU4PUsQgghhDhh5JRauWXGGhbuqOoMG2rSYzFppxzBMp42p3bbT7efXHVjcQb8dj90Hgf/tx3u2QrtBtT7+gXl2t7MASnRtR5j0OlwBtvj6WWJgpThsHt+va8nhBCiYeoNPD0B5TlAR6AdEKYoyuXA20BnYABaQPpSLY+/UVGU1YqirM7NlfbkQgghxPHsoyXp/LLxEGv2aRnPNpFmhnWMJdJiRK9TyCisrPEYq8NNWlwosWEm7Ya8nfC5Z1fPma9ARJJvTmd9xnZL5LQ+STx6Vq9ajzHoleBdbf11GQ9Z62W0ihBCNJGGlNqeCuxVVTVXVVUH8B1wkqqq2aqqulRVdQPvA8OCPVhV1fdUVR2iquqQhISEplu5EEIIIY460SFG399fnNafFQ+eStuoECxGPSM6xbJgW06Nx9icrqqRKi4nTD8PSjPh4i8gOvWwXj8q1Mjblw8mMdJS6zEmvQ57XRlPgM4TtI+7/zis1xdCCBFcQwLP/cAIRVFCFUVRgAnAVkVR2vodMxXY1BwLFEIIIcSxw79R0JBq40x6JEVyoLCixmOsDjdmb+C57Sco2g9nvw7dJjXLGr1dbf/ckcv9326g1OqoeVDbARAaD7vmNssahBDiRFNvV1tVVVcoivINsBZwAn8D7wEfKIoyAFCBdOCm5lumEEIIIY4FFZ7mQZcMSyUtPizgvvhwMxV2FxV2J6GmqlMQm9OF2TtGZe1nEN0Buk1ptjUadDpcbpWbPluN1eGmX3I0lw6vllnV6aDrJNj4NbgccMbLEBbXbGsSQojjXb2BJ4Cqqo8Cj1a7+YqmX44QQgghjmUVNieKAs9M7VPjvvhwbQ9nXqmd1LiqUxCrw01kiFErsz2wAvpfDLo6Rqw0ktHT+dbq0MptiyuDZDwBJj4OpjBY8xGEJ8LpLzTbmoQQ4njX0HEqQgghhBD1Kre7CDMZUII0A4qPMAPwr2838M2aDN/tNqdby3hmbwJ7GaSObNY1Gj2zPk/qHIdepwQvtQUt2DzjRRhwKaz5GEoPNeu6hBDieCaBpxBCCCGajFZGGzxbmRCuBZ7L9uTzw7qDvtsr7U5tzueBFdoNKcObdY0GT+DZIS6MCIuBUquz7geMugtcdlj/ZbOuSwghjmcSeAohhBCiyZTbXISZg+/k6d0ukmem9mVASjR5Zdq8zXlbsknPryDK6ITVH0JsJ4hOadY1OjwdbSMsBsLNBpbszuORHzbx6A+bcLuDjFmJ66wFw+tmgLvmHFIhhBD1k8BTCCGEEE2mroynoihcOjyVHkkRbM0q4fy3l3L9p6sBmJL7CeRua5F9lOU2LcMZZjJgMujYk1vOZ8v38cmyfRwqsQZ/0JDrIG+HNuqlsrDZ1yiEEMcbCTyFEEII0WQyi6zEhJrqPCbeU3K7Zl8hcWEmjDgZlvsV9LsIupza7Gv0ltaGmfXsyS0H4PLhHQDILbUFf1D/i7QRL+lLYM6/m32NQghxvJHAUwghhBBNIr/MxpasEkZ0iq3zuARPkyGdAuN7JNJLScfotkGPM1pimb6MZ7hfSfBZ/dsB8ND3m8gqrgz+wEFXwpBrYMNXYC1u9nUKIcTxRAJPIYQQQjSJv3blATC6a0Kdx3kznm4V9DqFAbrd2h3thzTr+rz6p0QD0KtdJM+f35frTu5IamwoABsPFnP3zHW1P7jvNHA7YPtvzb9QIYQ4jjRojqcQQgghRH0W78wjOtRIn/ZRdR7nnecJoNMpDNTtpNycSFhU++ZeIgCXDU9lbPcEkmNC6ZccDVQ1HAIos1V1uVVVldkbs5jcO4ltWaX8tjmce8Lbot88Syu/FUII0SASeAohhBCi0VRVZfHOXEZ1iUevqznD05+31BbAoFMYottBbtQAwpp7kR6KopAcExpwm3e2J4Dq19j2l42HuO3zvxmQEs26A0UAjOs0niG7ZsKBlZAyrCWWLIQQxzwptRVCCCFEo+3MKSO7xMaYrvH1HhvvF3jG2g+RrOSRFT24OZd3xA4UVgD4gs6U2BCmuydDeBL8bxKs+7wVVyeEEMcOCTyFEEII0WjP/LIVgJPr2d8JEOFp6hMfbqaHbT0AefFDm29xR2B/vhZwVtgD53b2T45mdXEE3Loc2g+GBc+A2x3sKYQQQviRwFMIIYQQjbZ0Vz79k6NoHx1S77GKojDj+uH8eNsoTjVvodIQxaRxY5t9jQ21ObOEMS8sID2vnNzSqrmeep1ChMWIzekGcwQMuxGKD8DBNa24WiGEODZI4CmEEEKIRnO63YzpVn+202tUl3jalazHsPlbQgZfgtlobMbVHZmsYisZhVWjVcwGHWaDDpvDkwXtNgkMITDvUcjb2UqrFEKIY4MEnkIIIYRoFLdb9Y1GafiDXPDDrRCdAuMfbr7FNUJxpZ2DfoGnXqdgNuqwOrXS2vnpdorGPg0H18IbQ2HpG621VCGEOOpJ4CmEEEKIRnF52sAaDifwPLQB8nfBuH+DObyZVnZ4fr97DFeN7MCT5/QGoLDCwcGiSt/4l1KrE4tBj93pxupwcd0nq5m8qAPctRE6jYU/nwdbaSu+AyGEOHpJ4CmEEEKIRnG5tcBTrzuM04p9S7WPHcc0w4qOTLc2ETx+Th/OH5wMwK6cMmxON8M7xvmOMRt1vvsAsktsEJ4AEx4GWwms/qjlFy6EEMcACTyFEEII0ShO9xFkPPcthZg0iGzXPItqhBCjHpNex+bMYgB6JEX47jMb9ABsO1Qts9l+MHSeAItfhPK8FlurEEIcKyTwFEIIIUSjuFzejGcDA09Vhf3LIPWkZlzVkVMUhahQI5szSwDo0TbSd5/Fk/HcfqjEd5vT5RmnMvkZsFfABxO0fZ9CCCF8JPAUQgghRKN493g2OPDM2wEV+dBhZDOuqnHCzQZKrU4geMZz1t8Hfbd5mw2R2AOunq01Tpp5OTjtLbdgIYQ4ykngKYQQQohGcbq1wKvBgad3f2eHUc20osazGPW+vydFWfxu106d8sqqgspKu6vqganD4cxXoOQgbPyq+RcqhBDHCAk8hRBCCNEorsPd47l/GYQlQmynZlxV03jw9B4Y9VWnS96Mpz+rwxV4Q5dTIakv/PUqeIJyIYQ40UngKYQQQohGcR7OHs+SLNj+q9bNVjmMZkQtTPWUD4eaDAG3mwxVp06dE8KAIIGnosDI2yF/J2Ssat6FCiHEMUICTyGEEEI0ii/jqa8nkFRVmH0PuBww7sEWWNmR88SdhJm1DOfJXeK569SuAWW1iRFaCa7VESSr2W0y6AzabE97ebOvVwghjnYSeAohxHHO7VYD96AJ0cScDZ3jmb0Jtv8CY/8FcZ1bYGVHzl0t4zn9+uHcdWq3gHLioWkxAFRWz3gChETD6S/AngXwxcXNvl4hhDjaSeAphBDHMVVVufi95Qx6cm5rL0Ucxxq8xzNjtfax17nNu6Am4El4Elat1HZCz0RenNaf3+8ew5huCUCQUluvIdfCxCdh7yIZryKEOOFJ4CmEEMepPbllXPzeclamF1DpcOF2q/U/SIgj0OCutplrISQGYtKaf1GN5Mt4mgObCSmKwgWDk+nWJsLX+dbqcLFmXyF3fvk3K/bkBz7RoCvAGArL326RdQshxNHKUP8hQgghjjUHCio447W/MBl0dIoPY09eOWV2J5EWY2svTRyHvI1b9fU1Czr4N7QbeFQ3FfLx7vE01X6q5A08523N5qvVGQD8sC6T9OfO8DsoCobdCEteBXM4nHI/RLRprlULIcRRSzKeQghxHFq4PYdKh4tvbh7Jzadoe+lKKh2tvCpxvPJlPOtqLuSwQs4WLfA8BngznsY63pN3pqc36PQqtzkDD5zwKAy/GdZ8Am+fBLbSpl2sEEIcAyTwFEKI49DqfYUkRpjpkhhOZIiWsSmpdNbzKCGOTIP2eOZtB9Wlzbc8BnRrEwHUHKfiLzKkqoIg3Fx13OKdeYEH6nRw2vNw1Y9QkQfrv2zaxQohxDFAAk8hhDjOqKrK0t35DO8Uh6IovpPjYsl4imZS1dW2jsAzZ5v2MaFnC6yo8V6+aACfXjuMpChLrcdEWozMu+cUNjw2ibZ+x81YsS/4AzqMgrYDYNUHVfNahBDiBCGBpxBCHGd25ZSRW2pjVOc4AN++zhKrBJ6ieVRlPOs4rcjZAjrjUT9GxSvcbPB1ra1Ll8RwIi1GHj2rNymxIdwxvguLd+axObO45sGKAkOvh9xtsG9JM6xaCCGOXg0KPBVFuVtRlM2KomxSFOULRVEsiqLEKooyV1GUnZ6PMc29WCGEEPVbsksr8xvVJR6AKMl4imbWoIxn7jaI6wL647PB1cld41l833iuG92JMJOeDxbvDX5gn/PBEg0LnwN7eYuuUQghWlO9gaeiKO2BO4Ahqqr2AfTAxcD9wHxVVbsC8z3/FkII0cqW7s4nJTaElNhQoGofmjQXEs3F5WkuVOcez5ytkHhslNk2RlSIkYuGpvLT+kxySqw1DzCFwsTHtYzn/yaDo7LlFymEEK2goaW2BiBEURQDEApkAucAn3ju/wQ4t8lXJ4QQ4rC43CrL9+QzqnO877YIswFFgQ0ZxaxKL6CsesdNIRrJ5R2nUlvgmfk3FO2D1BEtt6hWdHrfJJxulc1ZJcEPGHw1TH0PsjfCrnktujYhhGgt9QaeqqoeBF4E9gNZQLGqqr8DbVRVzfIckwUkBnu8oig3KoqyWlGU1bm5uU23ciHEMe9gUSU/rDvY2ss4rmw6WEyJ1clIz/5OAJ1OQVXhx/WZTHtnGS/O2d6KKxTHI1/Gs7bRIys/AGMo9LuoBVfVerzVBhmFVdnMbYdKyCisqDqo97kQEgNbfwp47L78ctLun83yPfktsVQhhGgxDSm1jUHLbnYE2gFhiqJc3tAXUFX1PVVVh6iqOiQhof5N+kKIE8e0t5dy55frcHrTJaLRVu8rBAgIPP3pdQqHioOU/x3nFm7P4coPV/LHtmzcbukm2tR8ezyVIIFnRQFs+kYLOkOiW3ZhrSQh3IxJrwsING///G/unrmu6iC9EbqfAdt/DZjr+c0abSbogu05LbVcIYRoEQ0ptT0V2Kuqaq6qqg7gO+AkIFtRlLYAno/yE1IIcVgyPQFQpcPVyis5fhSU29DrFBLCzUHv75IQfkJ2t33ml60s2pHLtR+vlkxSM3DV1Vxox2/gtMLgq1p4Va1Hp1NoHxMSkPE8VGJlVXohBwr8sp5DrgVbCax4x3fTqvQCADrHh7fYeoUQoiU0JPDcD4xQFCVUURQFmABsBX4EvL9FrgJ+aJ4lCiGOd5V2CTybSkmlkwiLASVY5gloHxNyQna3Neqrft1lFEkzl6akqio7s8uAWsappP8FIbGQ1L+FV9a6kv0CT4fLTalV21s962+/7QXJg6H76bDgWZj7KLhdrE7XqhbcMudTCHGcacgezxXAN8BaYKPnMe8BzwETFUXZCUz0/FsIIQ5bhQSeTabU6iDCYqhxu3e4fVSI8YQLPFVVJT2vnEuGpQCQW2pr5RUdX6av2M8bC3YBoA+2xzN9MaSNgrpmfB6HkmNCOOgptS0st/tu//7vg6j+QeW5b8OAS2DJq+Qv/dRXtuyUknAhxHGm5tlJEKqqPgo8Wu1mG1r2Uwgh6vXWwl20jbIwdWByjfuk1LZxtmaV8MO6THJLbXy/LpPe7SJrHDP3nlNwON38d/5OSittsOlbyN4MRQcgJg3CE7UZiynDtXEPx5HcUhvldhc920YSaTH4RlxkFlWyM6eMwR1iCDc36NehCOKndZm+v9cYp1KcAUX7YcStLbyq1pccE0pemZ1Ku4uCCi3wHJoWw6r0Qg6VWEmKtHCoxErbqGg4+w04uBb9yrfQTrcU2fsuhDjuyG9aIUSTszldzFp7kHMHtsek16HTKUxftg+7y80ZfdthMgRmPiTj2TiP/riZVekFeJMowTKe4WYDmCHSoudR1xvwzV+g6CE0FsqrdRwPjYO4rpDQDZKHabMX2w06ZjNWu3PLAegYH0ZipIXsEi3j+dTsLfyy8RAGncJDZ/Tk6lEdW3OZx6yDfqXLISZ94J1Z67WP7Qe34IqODvHhJgAKKuwUlGmB5/gebViVXsj6A8Ustubx71kbWfHgqcSGmWDUnUTPuokXje/ypXMsTvfxP/NUCHFikcBTCNHk3lqwm//O38n9323koiEpPH9BPworHFQ6XPy+5RBn9msXcLzs8TwyW7NKuPbjVWQVW7l3cndyS218vDSdcLMx+ANcTs479Cpp+r/4q/31nHzt86A3gK0M7OXaQPuCPVqWKnsz6pYfUdZ+qj22zwVw/gdQy97Ro9nevKrAs2fbSJbsysPpcnOgoJLe7SIpsTpYsD1XAs8jkFNqDQg8Iy3VvvZytmgfE3u04KqODiEm7RSr0u70ZTyHd4oFID2/nBV78nG4VPLKbMSGmVgTNZFd5vO5yPYtF+gXMT/TBNzeWssXQogmJ4GnEKLJ5ZZV7aGbufoAj5/T21dO++gPm1myKy/geCm1PTLP/LKVLE9n4NP6JLF8j9YN0+kOUqJnK4MvLiYtfTGf6s5hQ9QVnKz3/Aowh2t/+pznO3zZ7nwue38pP17Wnj6HfoAlr0LqCBh2Q3O/rSa3N68Ms0FHu6gQzujblp/WZ7J0dz5ZxZVM7NWGUquTjQeLW3uZxyTv19wNozsysVdSzQOy1mul3OaIll3YUSDUqGV/K+wuCjx7PJNjQgAoKLezdLfWXbnMpjUdOv+d5cD5/NTuAh7Pu4cemd8hgacQ4ngigacQokk4XG725JbTPSmC6jmx/Z7xAV0Sw9mVU8YXKw8E3F9hd7bQKmu3K6eUGz9bQ2ZRJc9M7ct5g2ruRT3a+Hdq7ZQQTmKkhfUHipjcp03Ng1e9rzV5OectvlnSgegye81jPFRV5ZlftuJGx08ZIfSZ8hgc2gC/3KtlRCc9BTp9rY8/2uzNK6djfBg6ncLY7gmEmw3M+vsgeWV2kiJDiAtz8+umQzhc7oDPqajfqr0FRJgN/GtKDwzVP3duN+xbBl0nts7iWpm37LjC7iLf8/0WG2oi1KRn3tZsbE7tAlGZNfDnX2RcG77NHs19xV9BYboWuAshxHFAfsMKIRptVXoBT/y0hcmvLmJ3blmNaszfNh0C4K5Tu2Ix1vyx0xqltrmlNl8WAmBVeiF7csuxOtxsOljS4us5Et7urPdN6Q5o+zifv6Af43tUCzwdVlj+NnQaBwMvIzHCXGtnV1VVefLnrb4M4MaMYq289qLp2szB5W/BuhnN96aawZ5cLfAEsBj1TOrVxjfSIinKTHy4CZdb9Y27EA2XXWKlfUxIzaATYO3HUJEHXSe1+LqOBt7As9LhorDCTlSIEYNeR6jJwB7PvmOAEqsDq1/VR7uoEL53naz9Y8PXLbpmIYRoThJ4CiEaZfuhUqa9s4zPlu8DYO6WbBS/nKdBp/DLxiwAokNMRIXU3H9YabODq2VP+oc+PY9BT871/Tur2IpOgYQIMyXWo3/ciNutsiunjGtHdeSWsV3qPnjDTCjLhpPvBiAhwuLr7Frd4z9t4cMle7lmVBp3jO/Csj35fLYsnaxKHZzxErQfAgufA2ftGdOjSYXdSXp+OV3bVJV6DkmL9f09LsyMyaAFCHandBE9XKVWZ9BmVhQfhN8fgY6nQO+pLb+wo0CoN/C0u8gvtxMXpjUbCjNrt6fEamW3j/+0hVNf/tP3uKQoCzm6BA5EDNS+d2WepxDiOCGBpxCiUQ55Apj+KdEArE4vDBh8fnLXeLYdKgW0oM5bVvbAaT24a3xHXjO+zjXzB8PTbeCHW7XGNq0gu9hKfLiZuDATJcfAnMuDRZVUOlx0SQyv/+DNsyC+G3QcA0D7aAv55fYamealu/L4eGk6147qyCNn9mLakBRUFR7+YTM3fbZGy3ye8i8oOQjbfm6Ot9XktmaV4lahb/so320JEWbf32PCjJg9XZZtTtlrfKCgAvdhzI8stTmIqN5QCODv6WAvg7P+e0w2pGoKoUYtIK+wu8gttRHn6XIb6mk61DVRuxiSW2ojo7CqQVObSAt6ncL6+DMgfyd8dyPYK1p49UII0fQk8BRCNEqRp1vjS9P6E+bZu/T16qrg0VviqCjQIS7UV5J3weBk7gr/g7P1y1gVcyYMvEIrK3ulD7w+GP56pUXWn1OqBc5ZJVbaRlmItBiP+oyn1eFiVbrW1KVrm3oCz/3LIf0vrdzREwCkxmn/JwcKA09mf96YRahJz31TuqMoCimxVfM887yluV0mQFQqrHhHa1h0FCi1Oli7vzDofZsztZLhPu2rZpsGBJ6hJsLVEs7TLULJWAW20uZd7FHs4veWMfo/C3jx9+0NfkxJZS0Zz72LoG0/iD1xOwVbTNrPukq7k/S8clJjte87bya0c0JY0MeFWwwY9Tr+jj0Nxj8EG7+GGRdI5lMIccyTwFMIccS+XZPBnV+uAyAm1OhrlmH3G3weH66d5CdGmLEY9cy4fjivXzKQOKMDlr3B3/p+vBdzN5z1Kty6Asb8E8ISYN5jsGt+k695S2YJ7y/a4/v36nQtYNmdU0ZqXBiRIQZKKo/uvX5XfriSe77S5iN2Sagj8MzZBjOmQUwHGHWX7+ZUT0C5L78q8FRVlT+25jC6azwWY1XjoM+vHw5AZrGVdQeKtKZCJ98JB1bAawNg609N9r6O1KM/bua8t5ZyqLhm+fDGjGLiwkwkRVp8t/kHnrGhBoas/D9eNr1D6qxz4PmO8PextYe1KVgdLl+H2i9W7m/w40qtjpqBp70CMlb6MuwnKm9m8+EfNpNTavN1tPWWdLeLDiHE871m1FdlhVNjQ9HrFFyqAmPu1Zp57VsC2Ztb+B0IIUTTksBTCHHE/u/r9b6/R4UYcVW7Ih9hMWiD0T33A/RpH8VZ0fvgnVFQeogfY68mzzt+JbajdoX/iu+10tAfboM9C5v0Sv+MFft4+petvn/fMmMtXR78hYNFlfRtH0mkxUjxUV5qu3KvFiBEhxqJ8Xx+a3A54ft/gN4EV/4A4Qm+u7okhhNq0vPzhkyW7s5jb145Gw8Wc6jEyoRqjYlO6hLvC9rOfXMJX606wLLYqXDdPAhLhJ/vafH9udVle8q9q4/pAdh2qJRe7SJR/Mo94z0lj2lKFlEzpxKXs5SnHZeya/y7kDwUZt8DuTtaZvFHCf/GSoUVDm74dHW93aZVVWvIVGN254Hl4LJDx7FNv9BjSIgxsPNzWrx2wSfDU2mQHBPqa0B0xYg0zu7fjh9uHUXnhHAMOqVqLFL/i0HRw6ZvW27xQgjRDCTwFEI0CYNe54sPJ/Zqwy1jO7P4vnHEhGon+dEhngDJ5YBvr9OCySt/oDBuEIeKraj+waXRAue9r/3903Pgj6eabJ2FFVVNca4Y0YEbRnf0ZWxGdYknMsR4TOzxBHyf26B2zYPMtTDlWYgKHA0TbjZw5cg0flyfyaXvr2Dciwv5enUGZoOOyb1rzmI85NeI6L5vN3DJ+8shZSiMewDKc2DvwqZ6S0ekXZSWSdpXUHMf3MGiyoCSYQCzQc8jp3Xmq4hXUXK2sHvks7zvOoOc9qfCtI/BGALvnQLvT4CFz4P7+N/7Wb28fO6WbJbvya/zMVaHG6dbrbnHc+8i0Bm0ua8nML2u6mLHD7eO4uz+7YGqTOhJneN82c9hHWN57ZKBvr3yep2Cy7vXNiweOo3VAk8ptxVCHMMk8BRCNLmbT+nEfVN6EB1q8vUV8ZU3bp6lNac5/QXodApD0mLJKrayObPaCJN2A+COv6HvNG2/Z1HDy/+qszpcvpO4gnI7vdpG8u/Te/LA6T349xm9+On2k/n59pPp3S6KhAgzpTZnq4x4OVzVMyoBdvwGpnDodW7Qu28Y3dHXVAfg+3UHOb1vW6JCazaKef/KIZzUOQ6/82jtQkHXSWCJgg1fHelbaBLebF25TftodbhYs6+QwnI7BeV22keHBD6gJJNrDz1Nov0AXPA/inteAihaqXhEG7h6NvS7CFQXLHwGXukNX14Gaz4+bveAej+H/iXJdV7YAF9g6i0h9dm7SOt+bG5A46vj3IdXD2HxfePonxLtC0RnXD+cz28YTpjZ4Gto1anafk+DTsHh8gsy+5wPRfvgt/vBXo4QQhyLJPAUQjSa//4kgDBz1Z6vU7olcPHQFB49q5d2tX7p61oZbRdtqPyZ/dpi0ut8cxUDn9gCEx4FvRF+uvOIMk/FFQ4GPTmX899eCkBRhYPkmBBuGNPJl3lIjgmlj6frabto7cQ7s7gy+BMeRbxlejWoKuz8XcuSGIIHD3HhZronVTXcKbU6uWhoStBjJ/Zqw+c3jGBYx6oxJIUVDjCYtVEZW3+G/N1H/D4ay5ut83ZMnr58H+e/vZSBnnE53v9TQAseXx+sBebjH4Iup1Z1tXV4Shvb9Nb2HN+wAC78DFKGQ/Ym7WvwpR7ax0ZcCGlOLreKw3X4Y2G8Wf5XLx4Q8Fx1+WNbDhFmA1P6+GXJKwog82/odMphr+F4NL5HmxoZ97T4ME7qHA/gqzBIrXaMXq8Efv77ToPBV2tNvX6+p1nXLIQQzUUCTyFEo1UvtQszVQWeFqOe587vR2KkBfYsgEMbYOStoNN+/ESHmhjXI4EvVu6nzBZkT1l0Ckx+Bnb/AR9OhoI9NY+pw8GiSirsLtYdKCKn1EpBud237zSYtp6yzawiT3nprvmw589aj29p/iXJg1Kjgx+0/G0tq9zjjDqfy+KX8UyLC2W4X2AZzMReVQGGbx/syNu0APSj0w/7/6axflyfyUdL9vrWUmZ34nKr7MwuI9Ji4PIRqaTEhjAwJUZ7gKMS5jwEbfvDrSu1xi3gCzzt1QM2RYFeZ8OFn8Ad67R9rb3OgfVfwldXHpVlj4/8sIlrPlp12I/zZjxjQk1EekrPa3w+qjlQWEFqXChGT6dq3G74/hZAgR5nHvYaTkQvTuvPonvHBTT0AjDqdDj9A0+DSRtNM+JWrcvtUXrhQwgh6iKBpxCi0fonRwX8O9wcZLxC+l/w1VXaKI5+FwXcddHQFCrsLi57fzlP/LSF+75Zz0/rM6sOGHKttuczbwd8d9NhnfD7710b9vR8ckptRNdRQugty9ydUwrL34Hp58GnZ8MXl0JxkKxsC1u4IxeAcwa0474pPWoesHMezHkAep5d4/Ncnf/J7rQhKQENeIK5ZFgKY7trTYp8gWd8V7jmF638b/6Th/FOGu+OL/7m8Z+2cMCzt7PM6mT4M/OZufoAnRLCeercviy+bzxpnpE+bP8V7KUw9oGAMR9mg/Z5sDnqyKgrCkttHfmy3f1wxktaVm/7L8323o7UntxyVqYX1Jut9KqwO/nXNxu49fO1AESGGPjw6qEAOF11P8eBggpSYvwydas+gB2/wpTntFEqol4Wo57UuNAat2t7PIME/iNv0S6ILHuzBVYnhBBNSwJPIdC6DB7tnUyPNlaHC50CPZIi+O8lAwPuCzVXKwF1u+HbGyC8DVz7q9a8xc/4Hm3o2z6K9RnFfLhkL9+vy+SthX6lm4oC/S6EiU9qYxq2zW7wOoP9v/ZtHxXkSE1yTAij29g46Y8L4Ld/aSMhJjyiZWu/uLhVslxWh4u8MhulVgf//m4jXRPD+c8F/aoyTf6WvQFRKXDee9rokzr0bldVajuue2K96wg1GbhtXBeAwAZMiT1h6HWw5fsWK7n1z/x6/1pc6fB1SK5e3ghoe1Ej2kLayQE3+0ptnXVn+C79YAX3f7eRTfGnQXSqllluoJV7C3jo+42BTbSaQanNgd3pJj2/YfsANx0sYebqA0RaDCRFWogNM/lm7TqDBT5+DhZVBu7v3PI9tOkLw2440uULD71OCR74RyVr+z3/ngFOe837hRDiKCaBpxDAyc8voP/jv9fo7Chqt/1QKW4V7pzQ1TdO4bLhqUBVBsknax2UZsLo/6vRYdXrpC5xgJYtPa1Pkq9RTIABl2n7Q+c/0eARHks9Iza8jXgURduzWBvFaeMl+1MkOQ/yc6dH+GPIO9q6T3teKxNOX9yg121Kj/+0mSFPzeOfX68nq8TK8xf0q/k5BijO0MbPDLi0RnAfzN0Tu/HitP68celAevkFoXWJ9IzFqfG9MuIW0Blh8csNep7GyvTM7Hzq3D5sfHwyk3q1YUNGke/+jvGBzVooz4ddc6HvBTUCcpMn8Aw2B9SrsLzqJP/G6eso63O59rWQs7XWx/h75IdNTF++3zcK56+dedz6+doj2o9ZF2/J7I5DwZsgldmc3PPVOt/7KbNp/4+fXjecZQ+Mx2zQY/A0wXHUkfG0OV1YHe6qcT62Um22a5cJUE/mXNTPUH2Pp7+eZ2uZ+31LWnZRQgjRSBJ4ihOe1a+87omftrTiSo4tW7K0LrS921VlD588pw87nz6t5sE7fgNFp3VBrUXHOC1QKLM5CTcbggeeeoPWbChvO/x8lzaapQ5lNiefLNsHwD8ndwdg4T/H+gKNoNZ8RGLlbu5w3MZtW3rw+p/p2u19L4TQ+FYpcftjWw4AczZnc0bftgxKjQl+4JYfAbXeElsvo17HBYOTObNfuwavxXuRoaSy2v9PRBst07VuOmz8psHPdzicLrfvZHxnthZYdWsTAWgXLPzP06s3a2H9F+B2Bv3ceIP4NxbsCr7PGNjrySDeM7EbBRV2Xs0bDqYI+PhMrYtrPdpGaQ2OvP+Xc7ccYvaGLB6atYm0+2f73k9jeQPPbbUEnl+tOsB3aw/y5oJdAJTZtJ9/4Wa9r9Ta+/1RV6mt93V8ZfW7F2if387jG/8mBHqdDkdtgWensRCeBL/+S9u3LIQQxwgJPMUJL6Ow6hf3wUL5Jd5QmzOLiTAbAkrtdDolePnnjt8geRiExdX6fPHhZt/fw80GSmsJAOhxBoz+J/z9GfxwW51r3O538n3NSWlsenwyHeLCan9AwV5Y9CIV7U5igXsgHePD2JBRTIXdqXXYHXqd9l7ydtX5uk3N7lcC2i+59jJhds+HuC4Q17nZ1hIZogUaQasDxj8EHUbBdzdqTZma2Gn/XcxF7y4DYFdOGQBdE8M96wpscOW9XTt4Hsx7TCubbtOnxvP6X4j4dk1GwH1Ol5tFO3KZufKAtoY+SQxIiebvQhPcMB9CYuDb68FRe7YUqgK1ZXvyeeSHTb4LIjNXa8+7wpMJbQxVVX0l0NsOlQSU9a7Yk881H630Be7exkFlvgCy6vNXlfGsPRvrfT8RFoN2AWjBM1qJd+rIRr8Pof0fBN3jCdqYmqlvaxfgFj7bsgsTQohGkMBTnPAyCrXGJIpS94mWCLQls4SebSPR6eopqyvJhKz10H1KnYfFhlc1/Ak3G7A73cH/PxQFJjwMJ98DG76E3O21Pqd/4KnTKcGbHnmV5cAnZ4PqIvTcV1j3yETumdgNl1vlQIHngsTQ60Fvhq+uaLG9jPllNgorHL4MXueEWmYjOqyQvgS6nNqs6wkx6jHqFQorguwvM4bApTO1TsSLX2rS192VU8rOnDJW7ysEYGd2GfHhJl+pp3dPZ0psCD/ffjL9U6K1B1YUwDfXQkIPbTRKkDJQvU7h9vHa3tVPlqXj9ss0LdqZy5UfrvQFiCmxoaTGhrK/oAISumtjV8qytXmfdcgp1faebsgo5lNP0OnPUN/3UQNYHW5fJ9Q5m7N56PtNvvv+2pXHgu25rEzXAlzv95a3siDMb192xL65zDXdS2LGnFpfq9Rz4aGNfT/8byLkbtXK0WsZ3yMOj6G2PZ5encdD9zNg06yjsruyEEIEI4GnOOEd8GQ5T+ocx8EiyXg2hMutsjWrtGH7Anf8pn3sVnfgGec34sQ7BzRoua3X8Ju18t0NX9V6yL6CchQF1j9ae4mvz7oZULwfLv8WEnsQHWqivSeb6704QXgiXPollGbB9PO1pknNzJvZe+Kc3nxz80jG96ilCdC6GeCs9M1HbS6KopAQbibXE0jVYI6AgVdo+88K05vsdf/amef7u6qq7MgppWtihO+2NE9n0Aiz0TeTVXvgy2AtgfPehZDoWp///yZ15+UL+7Mnt5y/DxT6bs8u0d7nI2f24olzemMx6ukQF0ZuqY1Ku0trVDT4aljyGuwIHqipqkp2iZWrT0qjR1LVmru1CadPe+17KL+88Y1iSqtloWesqBq54W26NH9rNgAlnoylt7Q4zGSAykL43yQSfr6arrqDDN7wOFQW+Z7joyV7ueJ/K1BVlTKrk65KBkP/vEob7THt43rH94iGq3OPp1fncdrPrMK9LbMoIYRoJAk8xQkvo7ACk15Hn/ZR5Jbamr3r5PEgPb+cSoer/sCz+CD8+R+tIVBCkNEffvxna3ozk95yvqAi2mh7nTZ+VesV/6wiK8kxIURVK8Oswe3W9iUm9YP2g303e8uIAy5IdB4Pp/1HO9k7sLzOp80ttfHJ0nTsTjfvL9pTIzCoT2G5nX97slZd20QwJC02+MiT/N3w+0Pa56MF9tglRFpqDzwB+l8MKNq8yyaydHe+7++lNie7ssvo2qYq++stoT61p19gXpwBK97T1tOmd72v4Q1Ys/yaDHkzu5cOT+XKkWlAVXb1gPeCxKSnta/vzy8MOlKmxOrE5nTTPjqE/1zQj97tInn9koF8dt1wZt6olabW+flsIG/wOm1wVQMvb0m09/m9sczsDVk88N0G/jt/J2EmPToF+OkuOLiGsrFPcKHtYUyOYni1H8yYRsaMW0j97Roe2HcD+U90ousPZzLH9C/0Litc9TP0ntro9Ysq+upzPIPpeIr28SiaMyyEEHWRwFOc8DIKKmnvCU6cbhWrQ8pt6/P3/iIA+rSrY7+hqsLMy8BWpmVD6ul06V8GG+4ZYF9u1wLPQ8VWLnx3GVnF1TLSfadp2ZYDK4M+Z1ZxJW2j6u/uyvovIHsTnHRHwM0J4Wb0OoXskmr797qfDsZQ2DCzzqd9ee52Hv1xM0/N3sLTv2xl/tac+tfiUVBuZ+CTc30Zz3ae5jRBLX4JFD2c8xbomv/HepsIc83Pib+oZG0/5fovmqQM0OVWWb4n37cXc/aGLEptTgamRvuO6ZIYzm93jebOU7tpFxK2zYYvLwVUGPdgg14nWOOk4goHZoMuYOapt+x5f74n8DSHww1/aA2oFr8IWRsCnjfH87lKjDTTLzma2XeM5qz+7WgTaSHMbCAtLpTcssYHnt7/k4uGpvDuFdoFlD255bz7527mbc3BVG3/9ReefasJ7hyY+7A2DmX8Q7iG3cJKtSdzBr4Jvc/FXbCXpJ1f0sFQSKYayxJnD3aXmZjlHkX25QuhTa9Gr10ECjPp6++yHt8VIttre5iFEOIYIIGnOOFlFFaQHBPiO+k83KzUiWjB9hwSIswBZYM15GyFzL/h1EcblG1SFIXnzuvL7DtO9gWh3sYn6w4UsXJvAT+tzwx8UI8zwRwFs26Egj01njOzyFp3wAaQsVprPJM8VBu1UW1NZoMOW/WLEeZw7bU3zwJn7QFDhOdryrunL+8wgosvVu4P+HfQTCdogd3uBdoYi6j2DX7+xkiMNJNVbMVZ157o/pdopbZ1lEI31JbMEkqsTs4doHXfffj7TUSFGDmtT9uA43okRaLXKfDHE1rQWVGgBePRqQ16nWCNkwor7ESHBmbMfYFnQUXVjaZQOP0/2tfjn88HHO/d35kUAuTugNJDWjdST1CeEhvK/rxyrdS14sibDHkDzzaRFjonaBngPbllPPvrNqBqZFEVlUv185mvvwOWvq5dyDnpTgx67WttX/QIOPs1fj3lJ7paP+HQpfNxXvQlb8c9wMWV/+JZ813EJKUd8XpF7dpEWtifXxHQWKwGRdHKm3fNB3vD5rYKIURrksBTnPAOFFaSHBOqdWeklm6dwmdPbhmzN2QxtltC3Y2Ftv2sfTyMfV8XD0uld7soX9ltXplWOljgKSH0jqLwsUTCFbPAWgxfXBqQXXO5tX11baPryHhu+Ao+OFWb63jmK0GzsiaDztcBNEC/C7XXraN7q6Xa2JaCw9jHV295sFf2Jm1GaguOsTi5SwKlVicfLUmv/aDe50LKcJh1E6yvOzNcnxV7tTLbOyZ0JdJiwOlWOX9QckAW0mfvIljyX23m6x3roN+0Br9OiFGbYentDAtQVOEgOiSwYU5MqJFwsyEw8AStw+3wG7Vs65qPwa7dn55fTm8lncE/jIM3h8JL3eHpJHgyAZ5P481Dl/Jt/rnwfBq80BnWftrgNfvz7kdNjDSTGhuGXqewJ7ccvU4hJtTIQ2dUZSZDsfK44WOeMf6PXeGD4fa1cP4HoNP5Ak+nW8XlVnl30W7CzSZGdIplSp8kfr79ZP5+eCLLH5hAiCnI/4FotLZRFpxulalv1TOrs+dZ2t7u7b+2zMKEEKIRJPAUJ7Rym5OCcruW8fSc6JfUta9Q8JwnezK5d1LtB6mqVoaaNhoiGz4j0isxQhutkltm49eNWTw4ayMAq9ILKa6sdmEgeTBMfkbrqpm+2HdzXpkNp1utPeNpLYE5D0LyELhtFST1DXqY2aALnnXoNBZCYmH+47WOV6mwuwL+nV/W8MDTv8vpr3eOrv3ArT8DCnQPMj+1mUzu3YZTe7bhxd+3k55XS6bFGAJXfK8Fn3MebFRGJrvESohRT3JMKA+e3hPQ9lwGcDlh7iPw6bnaSJkpz2pzXw+DoihEhhgD9hYHy3gqikJyTAgHPIGny62yN6+cXTml9P+9K+VxfeGnO+Hlntg/vYD+v53PLPMj6I1GOPsNOONlbR7tyFuhz/lkJ57Mh67TyB75MLQbBLP/qe3ZLau/NLvU6uC7tRm43Cr7CyqIDzdjNugxGXSkxoayZl8hLrfKbeO70sUzYuYk3SY2Rd3FVYa57O98GV3unhMwgsfoKdd2uNxsPFjMhoxi+qVEYfCU6hr0OmLCTL5/i6an93z/b84sqbvvQOpJ2tf7nAehNLuFVieEEEdGfmuIE5p3hmdKbCiRlgY0tBHkl9tpG2VhQs9auquCVmKbv0vLCh6BuHAzOkVriOLfmdPlVlm8MxfQOoX6yqJ7TwVLNKz6X9USPA2B2tWW8Vz8EpTnao2CzLWXDJsMOmzBAk+9ES74nxYcvDcWDq6tcUi5X+AZH24mv7z+UttDxVa+WnXA1210cu829GxbRxOnbT9D6git424LURSFp87tg0mv4z9zttV+oCkUJj4BFXks/uI/7K0tSK1HfrndlwW/eFgqGx6b5AuifOY/pmU6B14G180FSx37j+sQYTEEVD1kFlmDfg2lxIb6mgv9Z842xr24kCd/3kox4bzU4R246mfUdgM4lLGXIpeFsl6Xolw3DwZdoc2DHX0PTHwczniJmEve4x3Tlfxj90hcl8yEHqfDsrfgs6m1BuwlVgcVdic3fbaGe75az6Iduaw7UER/vzmvneLDWOMZP+O9ABNHMa8Z30AXkQTXzSP18jfRGwIDdJ1OQa9TcLjcvuZK90zsfkSfT3FkxnZP8P09Pb+i9gP1Bpj2iVZ98fPdLbAyIYQ4chJ4ihOat9NjYoTZt8fzmzUZrE5v/DD341Vema327qpeO+Zoo056nHlEr6HXKcSGmckttbIhowjQxq1EmA0s36OVXU5fsZ++j/2uZZ2MITDwci0IKz0EVHUmrdFcqOgA/Ho/LH8L+l8K7QfVuRaTvpaMJ2jlrTcv1kp0V/+vxt2VdieKAi9N60/3pPAGldr+e9ZG7vt2gy/gfvPSOtZXsFcrtT3Cz3NjJEVZGNMtgW1ZpXUfmDoca8oYeuz5iGd/WHNEr1VYbicmrCrr6P1e9cnaAMvehEFXwdmv1zk2pT6RFiN/7cxjQ0YRe/PKOVhUSUpMkMAzJpQDBZWoqsrXqzMA+HOHdlGk1OaEjqNZPOIDxpQ8wdZTPyX2wtchsm2N5wHtosRjZ/Vm7f4iZm23as24LvsKcrbAu6doGVC/zqUut8qUVxbR97Hffd1+3120m105ZQztGOs77qQu8ZgMOsZ0S2BoShis+YTPTM8RQSVc+CmkDK216Zd3jqS37LjBpd+iSXRJjGDePWMAWLW3nt9HSX1g2A2wcw7Y6vl+FEKIViSBpzihFVVqgUBMqImECDNGvcJP6zN58fftrbyyo5OqquSU2HylsEFlbYCV70HyMAiNrf24esSHm1idXugrfTboFdLiwzhQoGUyf1qnNRryjToZci24nfDbA2Ar9ct4+pXaVhTAjAtg5bvQ5VQt41QPk0EfPOPpFZUMXSfC9t/AHVhaW2530b1NBOcPTibcbPBlMeuy4WAxAHvzyjEbdLWXM1qL4bsbQGfQ9nm1gvYxIRwsqqx3BNHOnreQoBRz87672b3sx3qfd39+BZ/7ZboLKhzEhtXxNbf8bTCFN+j/sz5n929Hfrmds99YwrgXFwLBs+YpsSFUOlzkl9vxhm5PT+3DsLRYX2Z31t8HiQ0zcdVJafW+7jkD2hEfbmbpbs+80i6nwgUfat9D67+AT8+GH24Fp53V6QVkFlvpGB/me/zyPQWM6BTL1X6vdd3JHdn42CQ+vXYY8QsfgJ/uIJwKbnfcBok961yPUa/D4Rd4ehsviZbTOSGcmFAjqxpyIbTrJO3n397F9R8rhBCtRAJPccJyuVVu/+JvAKJDjUSHmlh03zhGd42nuFLKbYMptTmpdLhqDzytxfDpOdqokXPfatRrxYSa2OkZJQJah9jkmBAyPOWNNqcW5Bk9jVCI6wyn/EvrNPveOPIKCgkx6qsyNbnbtbUV7IHLv4NLvmhQearZoPO9Vq26nw4VeVqHXD+Vdhdhng694WYj5bZ6ngctu+cVZq7jZH/WP7SS5mkfQ0yHep+3ObSLsmBzun1NoGqzUd+b+xw3kKQU0nnOFbCz7vEPn6/cz4OzNlLuCdQLym3EhgbJuKkq/PUKbPhSK7cOiTni9+J14dAU39//fXpPerWNDMgieqXEaJ1t9+SWU1Bh5/bxXbhseAcSIs3klNpwuVW2HSqlX3KUbwxMXRRFYUBKFBsyiqtu7D0Vrvsd7t0NJ98Df0+Hl3tgWfI8Cm5euXAAsWEmTHodvdtF8t6VQ2o0XFIUBXb/Aeumw0l3YP6/jTx4z731rsegV3C63b4LPzWyzKLZKYrC4A6xrPaUS9cpZQQYw2DX3OZfmBBCHKF6fxsqitJdUZR1fn9KFEW5S1GUxxRFOeh3++ktsWAhmoKqqkxfvs/XBNUbnLSNCiEhwszWrBLGvrCACrsEoP7+8Myh7JccHfyArT9DZYGWqfFrVnIkqjd0iQ7RAk9vhs2bhfTOXa20u/gh5irUy76G/J2csut5hkXmoeTt1Bq9vDkM8nbCxZ9D53ENXoeptuZC/rpO1DKP3k6+HuV2J6Gerp/hZn29GU+7043TrTKmm7a/K8xcS8fQA6tg+2wYe3+rZTsB2nuCL1/WuRb7Csr5ngl8N+pHMtR4Kv58pc7jvXMvveNnisodRIeaah64bbY2Cqfn2TD56cN/A0FEhRgZkBLNTWM6ccOYTvxy52g6J4TXOC7FM1LlwneXoar49qDGhprYX1DBLTPWsDu3jK7V96LWIS0uzJepD2C0aGOJLv0KUkfSf/e7PGP8H73ahrP24YlseGwSs24ZFTw4zNsFP90FsZ1h3IO0iQohzS9TWhuDTst4FlfWnGMqWs7QtBj25pX7toXUymDSfq5t+6VG5YUQQhwt6g08VVXdrqrqAFVVBwCDgQpglufuV7z3qar6SzOuU4h6qarKFyv31zuHs9Lu4sbP1vDoj5t9t/mfVHmD0PT8ChZ59mwJzddrDpAcE8LwIBkgAFZ9oHVYTBnW6NfyBp7epihXjOxAckwoVoeb/HK7Lxis9DTweeC7Ddz55To2hw6DUXcysnQOn5Tfqo2vWPMxDLkO7t6kBYmHwVzbOBV/liit1G35W7D+S9/NlXaXL/AMMxsotznrLEv1XugY0zWe6FAjYaYgGU9VhT+ehNA4GP6Pw3ovTa29pwQ1aLDkZ39+BcmxIZzSK4VvXWMIyVgCJVkBx/yxLdvXsTi7tCrwdLtVyuxO37ijACvfhagU7UJHHQ2iDtf3t47igdPrLkVNiw9ldNd437+9gWeM5+t2zuZs7E43fdo3vMlRXLiZCrur9gte3SbDRdOZn3AVl+gXoH+1N3x3IxZrXs2sqqrCwufhjSFQlg3nvKnthW4gk15rLlRS6ZD9na1oSJr2s3bo0/NYf6Co7oP7nA9lh2D/suZfmBBCHIHDLbWdAOxWVXVfcyxGnHh2Zpfidte9P6yh1h0o4oHvNvLvWZvqPO7XTVnM3VJ723lv1iCeYj6aMYNXXnyCtX98EzAj8kSUUVjB0t35XDA4Ofj8ztztkLkWhl5fa8OSw+HNcE3qncTuZ07nnAHtfYHOd2szfBnPCocWeHobu1TYXZSPeYRzHU/xc5fH4dy3tSznGS9BWHyQV6qbSa/D5qgn8ATtdVJHwqybIUfr9JpbaiPG8z7CzNr8ybr2i3q74EZYDNwwulNg5+BDm7Q9fi90hr1/wph7wdzwbFpzaO9punOwsO7AMz2/gg6xobSLtvCD6yQUVFjxju/+EquDaz9ezbUfrwK0zr4AuaV2yu1OVJXAwNPl0LLrexfBkGu0OawtzGzQ89l1wzm1ZxtAyxACOKr9PDupc8O/5uLCta+VOsfuKArTQy/nxbB7tHFFW36A//aHP56G3Qu0r5N1X8DMy2HhM9DrHLhrI3QYeVjvz2LUY3W4yC6xEhdex/5a0az6tK/qaP3qvB11H9xtslZuu+gF7XtECCGOMofbLeBi4Au/f9+mKMqVwGrg/1RVrbERQVGUG4EbAVJTU6vfLU5ga/cXct5bS/ngyiGc2qtNo5/P5TnhqzHUvZrq9+v9gyhrCSNyv+F00wy667ROlZQBi4CM6dD/Yuh9nlbWdALZlVPK7A2HUFU4f1By8IM2fw8o0OvcJnnNaE+WpX9KlO//KDlWC3Se+aVqhEelJztUWOHwfLSzKr2Ada5ORA8fDl0PP9j0ZzY2IOMJWifVaR/Dy71g5bsUjX+e/HI7nRK0ssZwz37NMpszaNmiqqpUeEpxQ00Gbh3n+XlZWaiN1lj0H62ct/dU6DQOBlzaqPfVFCItBsLNhjpLbW1OF+l55QzvGEtsmIlMQzIbYyfTd8mrWkOgU+71NbBZs6+QMpuTnBKtrDCvzOYrT46wGLU9xL/cC5u+1RqpJPSAYTc1+/usy/mD2jNva7ZvvIs3E3/1SWkMTI0moa5GXNXEewLPvDKbr5S3ukq7i82ZJejanw7nD4W8f8Hsu7WvD396M5z6OIy87bDnmYIWeFbaXezMKWNQauP3zoojYzZU/awwehqNfblyP6O7JfguxPmYwrT5tT/dAb/8E876b0suVQgh6tXg30aKopiAs4EHPDe9DTwJqJ6PLwHXVn+cqqrvAe8BDBky5MROGYkAX68+AEB6/pEPlt+TW8bEVxbx+91jfCd8Vk8GbN6WbPolR7Eps5hTuiX6gpeDhZW0iTST7Tm5/fG2UdqTZayG6ecx0lrM33Th07CrufK8c/jXvAL6Fi/k8rwFMOsmLcC68NMTJvhcs6+A89/WSrdO6hwX/ITYVgbrZmgZv1pGRhyupCgLigIDU6pOepNjql67Z9tItmaVUGEP3M9UVGFna1YpRr3C4A6NP2Guc5xKdWHx0HcarP+S9G53Avj2B3obBZXbnMRXyyDN2XyI//tqPUPTYjzHek4283fDR6dppZI9z4IzXoHwBI4WiqLQPjrEF3huyCjC4XIzuENVKfbiHXlUOlyM7Z6Aoii0jQrhvbh7eT0pBPfC55iln0Svzh19x3+yNF0bR4KWMf54SToA4SYdfHWl1rVz6PXQtp82RqaVs76n9W3LlicmE+opi77plE7kltr4v0ndtGD5MMR5OvfW1axp6e48ckptXORtghTfBa76SevYfGiDto85ZTjEdz2s0trqQk168svtZBRWctGQlPofIJrNfy8ewJ1friO7xMryPfnc/91G+qdE88Oto2oePPgqOLRRG+804dFGdRYXQoimdjiltqcBa1VVzQZQVTVbVVWXqqpu4H2g8Zu6xAnD6nDx83ptj1dOfU0T6vDT+ixcbpXv/z7oO1m1Od2UWB1c/+lqhj0zn2s/Xs2SXXm+x2QUVgZcKQ41GaCyCGZMg5BY9kz9mXsiX6L3hY9C5/EUhabxmfFCrVzttBdgx6/wwXgtC+VuYEByDJuzWStL7tU2kifO6VPzAFWFn++C4gMw7oGa9x+h0/u25efbTw5ohBJuNvDrnaPZ/PhkZt1yEgCVDhdOv4zkir0FfLosnfE9EgkxNb4E09SQrrb+RtwMjgryF3+AXqf4GjGFe4LJrVklNR7y++ZsymxOFmzXyoVDTQawV8DMK7SSuRv+gIumH1VBp1f7mBAOFlby1aoDnP3GEs5/exnZnuZAAPs8FQYDUqIBLagus6twyn3oVCcHfnuVGz+r6gbsGycCLNmVx7uL9pCqZHPK4ktgz0KY8hyc/h9tbmsj5nU2pVC/vbiJERZeu2TgYQedULW/3JsBLrc5ufyDFb5ZtoBvVMuw6vusQ2Oh01htnmPbfo0KOgFCTHo2eUb7dG3TusH9ie6cAe25cEgy+wsquPi95QB19zLodxGobtizoIVWKIQQDXM4gecl+JXZKorin9aYCtS9sU4IP3O3ZFNqc6JT4LdNhzjnzSW+TpZedqe73vmA3hGHLrfqG71QaXexLy+wnNa/vPZgUWVA5izUpIcV72rdWC/8hE79R7Pgn2N9WRuLUY/V6QKdDobfCOe+o+X55zwAS+ruznk8mL81m9Fd4/nlztG+csIAmX/Dxq+1USYdxzTZ6xr1Onq3q9mYpWfbSMLMBswGHTpF+/8uqKjKEH239iAhRj3PntevSdZhNugbnvEESOqLO3UUQw58yJ1p+32lloM6xGAy6JjhN5/Sy+Z00ckvwG637wf4+AzI2QLnvw/tBzf6fTSXdtEWDhZVct+3G3y37cyuGoNT5hnH4S01DjUatCx1m97Mdg3jRv1sbAXaTNYwk54Ve6pmFq7eV4iCm2cNHxBauhemvqsFVscpb1bc21xod24Zf+3K45EfNvt+Fu7NK/eNf2pOIUY9Ts/2hS6JTde4SRyZxAiLbzsBQFxYHf//7Qdpo4V2zW+BlQkhRMM1KPBUFCUUmAh853fzfxRF2agoygZgHHB3M6xPHKc2ZRZj0usYlBrD/oIK1h8o4vGftvjuL7M56fbQr7y1cHedz+NtcuNSVd9esEMlVnbllvqO0esUX9dNl1sls6iS5JiqbEDkntmw+CWtbK9t/xqvYTHofeW7AAy4BG5erJU+/vkC2I+8VPhol55Xzu7ccsb3qGPe5YEV2sdBV7XMojwURSHEqKfC7iKvtCrw7J8SzRc3jvB1GW0sLeN5eJnt+d0fJssdy+1ZD8DBNYB24njB4GTWHSiq0VDL5nRjNuppF2VhpG4zqX/eDbYSOPt16HJqk7yP5tI+OtTXjdYrv7yqiqHM5iDEqMfguUoUYtJT6fl++jziWvS4+J/pBU7SbeK58/oS4/l/6x7pIBQrd+hnMUq/mawh/9L2WDdB46qjlbfE2ttkqsAz03XdgSJem7+LtxfuZtPB4sMa0XKkvN2YjXqFDnHB95uKltMmMrA833/vZw06vbYPfNf8E74pnhDi6NKgwFNV1QpVVeNUVS32u+0KVVX7qqraT1XVs1VVzarrOYTwV1LpICrUGLDXbfbGLNLun82SXXmke8rJflyXWefz6D0noaoKpdaqEQRfrND2j868cQRtoyy+faTZJVacbtXXjXO4shXL99dBuwHaSX4QFqPON7LDR1G0fWbOSq387zj1xzZtbqe3c2dQ+5dBZHKT7e08HCEmLXu2xVO++vPtJ/PDraNqnzN6BNpGWaiwu8gva3hJ+I/7LdxqfgbMkVqX2+wtoKoMS4ul1OpkZXpBwPE2pxuzQcejZ3TjEcOnuCNT4OYlMOiKJnsfzWVir0QM1boc+3dlLbO5CPfrSBtq0vu+nzKUJD5MvJ8EpYTPTc8wedV1zB+4mIWpH/Kr/Wq2WK7lbuO3/Ko7hejRrdtEqCVYDHoUBV+TqQOeSo2YUCOvzNvB879tY31GMaO7Nn/JtbdMPS0uzNfURrSexEhtrNRdp3ZlfI9ECivq6HwMWtl12SHIq6cTrhDHuL155XR8YDa7csrqP1i0OvltIlpFsWc2nHdWY4+kqlKuL1cd8I1TSIysuyOkN3Hkcqu+k91ws4GV6QUkRVoY3imO4R3jmLM5mwMFFb4mKMkxoehw85jxE5SoZLhiVq1NGCwmPdZgGa8Oo8AcBduP3xG2+wsqiLQYau2widsFe/7UTnJaQahJy0bP2XyI9tEh9G4XWf+DDlOvttpzbgmyN7M2BwoqaNumDcpF06EiH94eCc+043TrL0SFGPl0WXrA8TaHiz7u7Uze/jA9dQfQTXkGjJamfBvNpktiBDed0ingNm+mDrTqhQhzVeAZYtL7GkJV2l3sbzuZ+9p9wqOOqzCUHSRy1WuklazmUPcrWNrxdjjzFU574CsiQo7/Zl46nUKoUU+53YXV4eLhH7RZw9ePDvz8juteRwVCEwkxav9nsr/z6DCkQwxTeidx6bBUYkJNFJbXF3ieon08ji+MiuODq5Ej9X5YdxBV1T6Ko58EnqJVeAPPKE/g2dFvf1uoUU9GoXalv01k3Sff3lEaFXYXHy7ZS6TFwKme2YfxEdqJ6u3ju+Byq/zvr71Me0frzpocbWHusLX01O2HSU9qbehrYfHs8asxb1RvhO5TYOM3sH/FYbz7Y0eZzenbmxdU1nqwFkHncS22Jn+hJj1lNicr9uRzcpd4lGYow+zdLgqdQsDew7p8sHgP6w4UaRdNOo6Gm//SGuIkD8E05598HD+dgdtepvybW2Hl+5C3iwHli3kq/27Y/iucfI9Wxn0MuX18V4b4dRAOKLW1OmpmPD2ltpUOFyFGAxeM6MLG9heh3LUBHi2E+/fR7pLXOemqp2DItcdMEN4UQs0GKuxOivz2800bXDXCKD7c3CwXWGrTVfZ3HhXiws28c8VgEiMtRIYYAip8gopJ0/5s+lbKbcVRa+XeAvo//jsr9zbs96tXqdXh2wvvdfxuwji+SOApWoUv8PR0cYwNM3HHhK4AFFTYyfI0GvLeXxtv5mRvnlZiMXVgey70jBkY7Jk9lxYfRqf4MD5emq49J2Wk/XYlnTe8rJ3g1zN30jtzMeg+v8nPQGQ7+PxCKMup510feyrsTl/Dk6D2LdU+djipZRZUTYhJz9/7iyixOhnRuXnGBkSFGhnWMZY5mw/Ve6zbrfLU7K3aP7znepHtYMQ/4NKvodtp9C9ewOW63zFv+UabtffGYB4oeZp0Uze4dxec+ugxt4/RYtTzzT9OYvtTU+jeJqJaqa2TMJN/4GnwnTBU2l2EmHSc3b8d390yqlkuHBxrwkx6ym2ugH2ziZEWbj6lMwBjuyf49rY3J+/P1O5JEngebSLMBsrsznqb7zHqLm0P/pqPa9xVbnPy1M9b2JxZ7OuPIERLUVWVndml3Pr5WspsTnbmaH05Nh0sblAX+TH/WUCvR+awYHuOXFc5xkjgKVqFN/D0ZhHDzQbumdiNKb2T2HywmFzPjE3/MRnBeJtwbD6olUGe0j2BkzrH8+e9Y/nn5O6+48b5Nce5wzAL/d4/YcrzcMHH9Z7kW4w6z2s5efLnLezznzsaFg8XfKhl/XbMadB7P9os3ZUX2DzJT5nNRWh9gWdMRy24agUhRj15nr2XwzvGNdvrTOmdxM6csnr3kOR61tI+OoR7JnULvNNogUu/RPfgAU42fM5owwzs/1gFZ77K58bz+aD9k2A+tk/yzQY9ceEm8svt2JwuHvlhE9sPlQZkPEOMeqwONzanC6dbJcTY+JE3xxNvYO4NPJ89ry8A/5rSnVvHdeb60R3reniT6eSZP9u3fc3O0qJ1hZkNqCo1ZhjXMPhqSBsNcx8Bh7bN5Ly3lvDy3B3M35bDB3/t5YzX/uLaj1c1/6KF8PPZ8n1MfGURuZ5xertyynhhzjbOfP0vuj/0G+sOFPHOn7uZuUrrAv/cr9v4eMlenvllK5sOFvs6PN8yfa3vGu+xdsH2RCWBp2gVxRVa4Flm035xerNqE3u1IbPYysId2jxDez2Bp7fU1jvD01ua2yEuLGCO3s2ndOb1Swby0vgwrjLOg/6XaPMW9XUEVR7eE+MNGUX876+93DVzXeABbQdAeBvY/Ue9z3W02ZNbxqUfrOCxH7W9ZB8t2csD32303V9hc/rmT9ZQng/pf0FakCHmLcTbeTMlNoR20Y2bW1iXyX2SAPhtU1adWQZvifhTU/sEjOypLr/cTlaJja/2mmHINbypvxxraMs3Z2oOceFmCsrtbMsq5dNl+4gJMzGld5Lvfu//WWG5duJgkcAzQJhZT4m1KvD0ltUqisK9k3vQI6llymzvndydOXeNqX1/t2g13gs59WYqFUUbP2Qr0UYzAWv3F/Ha/J2s21/kO+xwyxyFaKzFO/MC/v3RknTeXFA1xeDcN5fw3K/b+Ne3GymucPDZsnQ+W76P9xbt4f7vvKO7VNyOSspLigAptT1WSOApWkWlw0WoSc9lw1PpmhjOhUO08tgz+rWlQ1yorzmJ3Vn7SX6l3cXinXn0ahvpmy9Z257QhDADZxlWcv7Of2EwWmDCww1eq/fEOM9TPhi0w23n8dqwblcdQ72PQtmezPKKvQXYnW4e/2kLX6zc73uP1cskfdxu+P4fWlffYa3XbdT7f9Oc2U6AtlEh9EuO4sXfd3D5/1bgqOWCSEahllVIiak7CD6znxZkevdp2ZwuzIbj48dxXJiJvDIbJZ4B9y9O68/5fnsUvYGnN1Pt7Z4qNG2jQli5t4AbPl0N1L/doLlYjHopsz1KeffdN6hENskzzzhrQ8DNa/cXkuYZk1PnTFDg+d+2sWafBKei6SR65lub/H7vnTeoPbNuqdq24/06n78tm3K7i925WrXZpoMlDFJ2sDHybrZbrubhjRPZZb6cM7Y/oPXckNrbo9rxcaYjjilOlxuHS8Vi1JMSG8rce04hKUoLGC1GPY+d3dt3bG0n+ADL9+STX27nnr5WXhtn4Iph7YhTyiBnKxQfhLxdsPpD+OpKeLotfH2VNnPzwo8hIqnW563Oe2K8P7+i9oN6nweVhfDDbVpQdozIKq70fczzGxdywJO5K69tj+fOOdqfSU9B234tstZgvAFyS5QDdvaUHi7Zlc+Lv28PeszO7DIMOqXObCfAaxcPRK9TfJ9zm8Nd91y+Y0hcmIlSq9O3zzPCEvj1kxChfa/P36rtiZZS20CPntWLf/qVabdW4CmOXt6LgeUNCTxj0rRxV1t/Cvh9ujmzmMl9krhjfBcKKuy1PpfLrfL2wt2c//aypli6EEBVmfiPt1VVTD0ztS8DU2N474rB3DOxGzOuH64dsz5wrF4vJZ0PTC8SGmLhTd2lvOY8l0XufrQr/hu+vQ5m3STB51Gs/jpDIRrB6nChqoFZDe9oEu/eyerGdU/kyXN68/QPaxlY+Bss+BViO0HvqWCoGq+yfHceVxnnceqiDwF40mCBDdaaTxjZXuu62v10GHi5Nlz7MMSEaleDd2Rrm9+DNkDpNgnGPQQLnoKINjDxicN6jdaS6RkvY3W4mfV3VSvy/fkVdGsTQYXN5RtqH2D3AjCGwuBrWmqpQRV4Ztm1b8Yy22BmrjrAPRO71QgWt2aV0DkhvN7yUZ1OITU2lGxPEy2b0425lu+HY01suPb94p2dG2kJDJzS4rWg/JV52nxB715CoYkLN3Pb+K6U2128vXB3wJYBIcCv1La+zragVeQMugIWPoc1c4vvZodLZVBqDPHhZl77Yxfv/rmbeyZ1r/Hwylr2/wvRGPnldvonRwVsHfD+3pzUO4lJvZOosDsx6BQWbte2XqUo2bxrfJVeun0UK5Hor/yevX+U8c2aDACuH5bGQ2Hfw6L/QNv+MOIW2fd5FJLAUzSru2euY/uhUq4elcborgl0jA/zNbKp6+T8ikHxTJx7P0k52eBtFvv7w9B+MMR3hZJMbt48jxh9kbbHcsQt2jxNnV4LMO1lgKLN2ozr3KgfPnGeE2nvHMda9/iN+ac2sHvJf6HjGOhy6hG/ZkvJLLZiNuiwu9zM3ZLtd3slqqpqpbbBMp7pf0HKcDC07mxF7yy75tzf6XX96I4s3Z3HvZN78M+v1zNnczZn9w9sqrQlq4ThHRvWXTcxwkx2iRW3W8Xuch9HpbbaxaH0PC3wrJ7x7BCrjS4yGXR8f8soerXgaJBjyX2Tu3PvpO4t0sFWHFsOq9QWYOAVsPR1wj8ez4OGU3nBeREODAxKjSEhwsw5A9rx2h+7eO2PXfx42yj6JUf7HlohHW9FE1NVlYOFFaR69o9/eu2woI2yQk0GLhueyifL9pGqZDPT9CQW7LgnP0dEz7Mhuj3d2lTtC610umHsA3BwNcx5UBsldOlXWhNIcdSQwFM0qwOFFezJK+eRHzbTs20kv945uirwrKu0cNM3JLmz+W/cw9x5y52QvlhrCZ+/G3bOwR0Sy5/O3oR2O4VJF90OplDof1GzvAfv/hfv/r3CiloGdysKTH4WNnwNm2cdE4FnVlElXRLDsTpcrM8o8t1eUG5n2Z58bE43Parv8yrPg5zN0Oe8ll1sEPHhZtLzK2gb1fxzHnu3i2LFg6fidqu8MncHM1ftR1VVEiMsjOwcR2G5naxia4MDqQ5xofyxLdeXUTheSm3jPRdq9uZXoFOosUc4xKTnkmGpjOgUK0FnHRRFkYv1Iihv+fXBokqyS6yUWh10SYygsNzO5yv3c9OYThj0fheyotrDLcso/e0pbtw2kwgqeFJ3EwmefXb3TenBD+u0csaf1mcGBp71dc4VooEcLjeXvb+CCIuB3bnlXHdyJwDGdEuo9TGDUqPQr/yVOw3f4ULhYvtDzBn5D9/9qX7Nz6wON+h0cMlMWP8F/HIvfHcjTH2X/60rIzrEGNBvQLQOCTxFsyqudJAaG8r+ggoOFVeVdQK1lxaWZsOyN0k3dGSp8STu1Bu15j2dx2v3Oyr5c1cxd32yhhkjh2tBZzOKtBgx6BScbpXubSLYnVuG260Gz0QYTNB1Imz/Ddyuwy7rbWmZRVZSYkO56qQOfLwknVKrk82ZxRSW21m7rxCAyb2r7Yfdt0T72HFMC6+2prcuH8Tq9EJi6mmO0ZR0OoWLhqbw8twdLNmVT7jZwMDUaF+Xvp5tGxZMdU4I56vVGUxfvg+A/snHx9iKWM//xfoDRQBBv0+8I0KEEIcvOSaEHkkRfP/3QZ74eQuqClufmMLTv2zlmzUZdG8TwZhuCQGNW4hOZd/JL7Bgk407DN9T6QqFnUbodErAVoXQaheKyu2S8RRNI6vIysp0rUnV6K7xXDIspd7HTMx8h3OMn1HYdjTT0s+mS69BAfenBASenoskBhMMvgrcTtTZ/4fyYhcuVENYFTYG+k8Hg4lDxVZenbeDR8/qLQ3uWtjxUdsljlollU7GdU/gjvFdKKxw4Harvh8OQZuKFO2Ht0+Cov18E30tDnfNstabv9zCNZ+swahXGJQa09xvAZ1OIS7cRJfEcC4cmoLTrQYMd6+hx+lQkQcZR/9stMziStpHWxjdNYH/XT2Ur24eSWKkhYIKB4dKrESHGmuciLB3sba/s93A1lm0n8QIC6f3bfkxJFP6VAXjZTZnQGv4hgae3k7Mc7dkYzboOKnL8VEOFBdetQ/bpJdfMUI0NUVRmDYkhfUZxb4eKpnFlRz0VOXcNH0Np778p29OtleF3ckrzgv43nUS1+pnw4zz4Y2hsOI9pukXco/hKxILVgc0ZpGMp2gqOaVVPTj+c0G/4P0y/O1eQOiqN2DItcTc+BNf/fsq/ntx4HlHz6RI7j+tB3FhJhZuz+Hr1Qd899kHXsMk2/M847iE31xDGV8xB366AyoKeGPBTr5cdYAf1x+s/qqimUnGUzQbt1ulxKrN6/TuE6x0uOre47lhpha03bSYLXNsOEptAXerqspvmw8BMCAlusWuVD15Th/aRoWw19MwJb/cVnuWrctE0Blh28+QOqJF1nckSq0OSq1O2lbbHxkTaqSw3E6l3UVSsPE06X9p70t/4jY9SfYblzK5dxvmbK7aHxvvF3jVxTuqYkNGMZHHUefSSL89naseOvrLzYU4Fk0d2J7nft2Kw6UFiYeKrWR6qooGpkSzel8hW7JK6OPX8bvC7kJFx+6TXyGvj5740h2w4Bn49V5e8P4I2vo9vPgohMZB14lYjH05S7eeKKUcdW8Euau+JfbAXG0sWd9pMO6BFn7n4ljlHd/26bXDaBtVR18GVdXOBec9BjEdtS1MihJwUdNLp1O4+ZTOnNG3LXfNXMf9323ktL5tCTcbqHS42Kkms9Olldc6LLFcuv4LWP8lJ6XczXSGsK+uaQWiWcjlaNFsSm1OVBUiQ4y+2X0Vdpev1DZo4LntF62BUNt+GPUKdmfgaJLnft3m+/ugDs2f7fSa1DuJvslRvv1rf2zL4Zlftta4ogyAJVIrQ932y1Hd0jurWLv6WL0xT2yYicziSg6VVAbORXU54c8XIHfrUVFm25r8s8AXDknhj/87hcm923DlyA4Nfo720SFEWAzYXe4aDXiOZYqi8MUNI1j54AQZBSJEM4kNMzGxVxvfv/cXVJBRWMnt47vw1uVaOeKinbkBj/H2JzhrQHvi23eFHmfATYvhjr/hzg1cEj2Dz2Jv07aLRLaFZW/Q988beN30Bk8ZP0L55CwSt3zMgqIkrWHLn89BYXqLvWdxbPN2ca93/NnK97SRKGEJMO1jMNbfwyElNpSLh6bgcqsUeEZ5Wf06Mg9KjeY/zkvgyh+h60SmHHiFz4zP0Gbbp2AtPuL3JA6fBJ6i2RRXaOWokSFGQjwn6pV2/4xntS+/kizIXAvdTwPAZNDjcLnJLbVRXOmgqMLOu4v2+A7v0gpjGLyzHJ/5ZRvvLdrju8JcQ69zoGA3LHsDgNxqmdujgXeUSrtqjXnGdk9kT245mw6WVG3cV1X4fJo2LqbP+TD0+pZe7lHHqNfKhDrEhdEpIZx3rxjCE+f0afDjFUWhp6eVfHiwzsHHsJGd40gMli0XQjSZG0Z3opentP+PbTm43Cod4sJIjLDQs20ki3fkBRw/f1sOcWEmOsWHVd2o02njymI6oA9PYJbhdDj3LbhiFty3h4WjPuNy+wOMtr1C2bSvOMP2DDc4/o95vZ8FFPh7Rgu+Y3EsyyuzodcpRIfWcUEybxfMfRS6ToIb/4R2Axr8/N7+At4LLN4y8e5tIjipczwlNhdqxzEw7RNmhV1EW6WAq4rexPXeBF7/di5788r5ZWPWEb8/0TASeIpmM2Ol1jQlOSbEl/G8/Yu1vi6eNTKeO37VPnY/A9BO7IsrHZz9xl88+sMmvlx1IODwNq1wYtsm0hLQga2gvJYOtwMvh17nwu8PseOv7xj69Dye+nkLTpc7+PGtwJvxrF5qe+mwVF/AOcq773DnXNj9hzaf9IIPwVyt0+0J6M1LB/HKRf19ezWPRM+22ufxeAs8hRDNb2BqDL/cOZpTuiX4xmGlxWk/u/u0i2RPXpnv2Aq7kz+25jClT1Jgx1s/ERYDpVYnNqeLp37ewqYCHZv0PfnL3ZcDahsy409is5oGwPXfH4IuE2DdDK2RnhD1KLU6ibQYat/bWZIFs27U5rWf9Zp2UeQweLc/PfPLVkBLdADcPbErkSEG3CqU211gCuUd/aWcan+RS+z/pqwgi0s2XMu7rzzCXTNWcLColoSCaBISeIpm4XC5+WrVAU7t2YaRneJ8ezHXZxRz+xd/A0HGqWz/FWLSILEnoI2XyPeMqMgstvLp0nRGdopj9UOnctepXauCohb23hWD+frmkQDkl9USeOr0qFPfoTykPUVzXwDgg7/28tGS9BZaZf0yiyrRKdAmInDfhE6n8NVNI/nH2M6M7Z6gZTsXPgvRqdq8VAFo5ddTBzauNbu3EVH4cVRqK4RoWWf2q2qwlubJZraNspBdYuOdP7U5h39sy6HS4eLMfu2CPgdoHdxLrA5mb8jig7/2cubrf/HaH7t892cUBu6Hy+x4PpQchP3Lm/LtiOOI1eHikR82cahYG/sTYakl25m+BF4fDIc2wtmvaaXehyk2VAs8V+zVOuf6Jzm8r1tq1SrxSqwOhqbFsMzdm6m2x8hQ43nO+AELzPfw+Jsf8cHiPbiCbaUSjSaBp2gWe/PKKaxwcEa/JBRFITTIfs4E/4CncB/s+RO6n453eN3wjrG+u/fklpNZbGVKnyTiw83cdWo39K00WN1i1NMmQsu25teS8VywPYchz/3FmyUnM0zZQmflICa9jn0F5S251DplFllpE2kJevU7KcrCv6b0wGLLh88v1Eqgx9x3QjcUag7ewDNCMp5CiCM0qXcSJr2OcLPBN3faW+ru7Yvw8/osEiLMDPP7vVpdZIiBkkonf+8v8t2mAE9P1bYQeLvmevduf1XYFRQd7P2zqd+SOE4s35PPp8v2cfsXaymxOoP3M3A5Yfb/afuGb12hbVU6Av4NH50uty/jGWqq+r7ILLLyx7Zsskts9PfMq92jtuPh+Ne4wn4/TlXP0/Zn2frru/xn5rwjWoeomwSeolnszNZKfLomaqWE1UdyvHxh/6qOtC4HfHudVl4x/CbfMVP6JHHNqDRGdoojr0zbI5kUdXTsG4vzNBnKLwu+d3N3Thn55XZmusZiV/VcoZ9LQoT5qGpNn1VcWaOxUAC3W9vgv3cRTHlOKx8WTap7UgQ6RTKeQogjFxViZHKfJPolR/nKGP0vzL70+3Z+23yI0/sk1XnBNsJipNLhIqfUSny4mUuGpTD7jpN9vye8HUC/vHEEY7olMHtHBXQYBWs/A4e11ucVJ649udrF9lXpheSX24kMlvFc8bbWtHDyM9p+4yPk31G9zOb0ZTxDjHpfM8rPV+zn2o9XAxAdauStywZxweBkzhnYnsXuflzruBcdKi+Z3uGB7Regzn/yiNfTGGv3F+LwbM36dWPWUdkn5EhJ4CmaxebMYhSlqhmP/9iTM/q1ZUKPqm58rP9Cm3l55itaqa2Hxajn0bN606Nt1X7CoOM9WkGoSU+IUU9OLT8Mym3aD7x8ovjedTKX6edzq/o5rsqyoMe3tKIKOzuyS2lbVyC/5BXPvs4nYcQ/fJlo0XQsRj3PnteXS4altvZShBDHsJem9eeja4b6/n12/3a+7ObbC7Vy22tP7ljnc3hP3PflV5AWF8qz5/WjS2KEb1vMrlzt91f7mBDaRJgptznhlH9BaSas+ajJ35M49u3MKfX9ff2BosCMp6rC+i/hj6eh22lal+VGUBSF/5zfD9D2k/oCT5Oe+HAzSZEWVqbn+46PCjFyet+2vDitP0PStO+V3Wp7htve5JH277PA1R8WvwS7WjbzOWfzIc57aylfrjrAgYIK/jFjLV+u3N+ia2hOEniKJudwufl2bQajuyb4Ak7vx/hwM29eOogo/65mO+ZAZLLWLTUI/zr71mgoFIyiKLSNsnCoOPhV3nK70/f3p5yX86t7GJfavuac3Ldaaol1GvDEXPLK7L7ykwBlObDgWe1P76kw7IaWX+AJ5KKhqb6SWyGEOBImgw6zX9+EMLOBL28YQVSIEadbpUtiOB3iwup4BnzzhPcXVASULXo70O/MLiMqxEikxYjRoMPuUqHjaOh4Cvz1ylE9Pky0ju2HShnSIca3tSpgj+dfL2tVVUl9tMRDE1zc9ga2pVYnlZ7zMO/5Z6hZT2ZR1Tmb//zs3u0iCfFsCXNiYPjw0fyTu8gzJcP087WZoi3kd89c8EPFlb6RSIdKjp+KAgk8RZP7bdMhsktsXH1S1UzDMM83vv/cMUArs927SOuOV8sPnWy/bzjvHM2jQdtoS63jVMptVYFnCWFknvomC0MnMbL8D3A2b8lETqmVyz9YwQeL97A3rxy1jpOBGhv93W6YMQ3+fB7SToYzXpZMpxBCHIN0OoWhnkxOQ2YF92oXiV6nUGF3+Rq1QNWJ+8GiSpJjtLJbk17nKwWk91Qoy4ai4ycrIxpPVVV2ZpfRq10k5w7Qmlr5ZjvbSuGv/0K3KXDt70fUTCgY77aVMpuTg54g0xtQWgz6gERGXFhVnxGjXsfLF/b3/btdtIWoqFie6/Au9J0Gf70K+bsPay12pxuny01emY2NGQ2fFerdWpZbauOvndpIpNqq645FEniKJjd9+T46xIUytlui77boUBN/3juWJ87pHXhwxmqwlWiBZy3OHdAegGUPjK+1DXxraBsVQlZR8KtQ/ns5753cnZtP6cyGiDGEqJWwf1mzrUlVVW7+bA1/7crjqdlbGffiQqYv31fjGK8aJyMbv4KsdTD1XbjyewitvRGFEEKIo9tgz962hiQjeyRF+n5Hx/ld5PXvQH9anyRAG3fmCzwTe2kfc7Y2wYrFsSinxEqJp2Os0+Vm7pZsMoutlNqcdG0Twc2ndOb+03pw/WhPufff08FWrDUtPMyxKXXxXkx/8fftvDZ/p+c27TzHf8vXRUNSGNEp8PzmtL5VwW+oyYBRr6PMbYZJT4HOACveOay1jPnPAq7430qenr2Vs974i7X7CwPun7slm+HPzAtIVAC+Srr9BRUs3a2VBkvgKUQtbE4Xa/cXMqVPErpqTQw6xIVhrB447poHil4r1anFaX3bkv7cGbSNqqMRTiuIDzeTXx78h0GZzUmXxHAuGpLCuO5aAL4/chAODLBrfrOtaXduOWs9HQl/vv1kAHbmBO4rLbFW/ZALyHiqKix5Ddr00a7wCSGEOKZ5ZzKXVTu5rc1lwzvwwZVDuOqkNN9tYX5dt/8xtgugZYiqAk9tBBo5mxu/YHFMGvbMfE596U9cbpX/zt/JDZ+u5oPFewDo3iaCuHAzN5/SmXb6Yvjxdvj9YUgdCcmDm3Qd3pnYKz0jVe6Y0NV33uktGU+LC+X5C/rVmcgIMeoxGXQ4XCpEJGlbwf6eAZVFDVpHhd3JoRIry/bks9hTLnugQGvOVVhuZ+pbS7jh09Vkl9jIKAysnPOW1S7fU0BxpYMIi4EcKbUVIrhtWaU4XKqvTXW9ds+H5CEQ0sDjjyLeH0rBSlkr7E6iQow8f0E/erXT9u8ZLBGsU3rCzt+bbU1ZntLfS4en0qd9FF0Sw8kpCQyO/bujBWQ8d/ymnTgMv6lJr0AKIYRoHe2itb4IZdaGBZ4Ap/ZqE9BPISHCzGuXDGTtwxN9XXG1wNPz+88SCVEpkL2laRcvjgm/bcoCtKzc63/s9O1RnLPpEADd2oRXHfzdjVpDoUFXwrSPm3wtqbGhvq1dKx+cwD0Tu/nu85bcNqRXSIhJH5jVH3kLOMph2RsNWsfWrKqmSnmeee92p/Zc87ZmB4ws8u8JUml3UVzp8JW0A4zrnlgjK3osk7NL0aQWbM9BUWCIp7ynTiWZkLkOupza7OtqDia99gvYGWTIcLnNRagpcHZpqMnA7+6hkLut2bqkeUs0bhqjtSRvE2kmuzTwSpl/4OnLQK/9DGZeDnFdoc8FzbI2IYQQLcs7CqXUUwZ5pM7u345Yv4ZDJoP2u8Ph8vz+S+wFORJ4nkg2ZBQx7Z2l3Dx9re+2j5ems9vT/Tiz2MrUge2J9u4XLs3WZr6ech+c+bKWSWxiJoOOhfeOY9G943yzbL3Mhx146rB5gkXa9tf2Mi96AeY+Wu/jc0trZijtniD2zx25JESY+fYfIwHIK7X5EhjebOeFQ1J8j2sXHYLVu47jgASeosmoqspP6zMZ3jG2xjd8kIO1cguDudZutkc7b5mG74qYn3Kb01fy4RVq0vO1fQRqbCeYfgGs+qDJ1+RtxOT9wdomwlIz4+k3e1RVVagogF//pZW93DAfTKFNvi4hhBAtLz7cTIhRz4Nn9GzS5zV6Lrz6fv+17Q+528Fe3qSvI44uny1L59qPV7FiTz6XfbCCVemFtIuy8Oudo3ngtB4UVThwulUGpERz54SuvDStqmGPrxQ7ZXizrjEhwkxqXM3zGG/GsyHz4KtKbf3O7877AAZeAUte1ZImdfD2+fC+JmgZT5dbZfHOPE7pluCbaXrjZ2v4Zk0GUJU8GNIhhjcuHcjnNwwn3pVDf9cW3EGSHMciCTxFk0nPr2B3bjln9G1Ad7L1X2hZv0lPQVzn5l9cMzDqq13x9XC63BworKjxw81s0FGkhuO8fqHWgn7+E2Br2rmeuaU2Ii0GLJ4fdjFhJooq7DWO8eraJlzbMO8oh9NfBEtUk65HCCFE69HrFLY+OYXLhneo/+DDYKx+4bX9YFBdkLWhSV9HHF0e/mEzf2zL4aL3llPqKd/+6faT6dk2kjHdEnzHvXbxQO6e2C2w14e3FNvbjKqFefd4JkaYaz3GGyjqdUpg52YAvQEmPw3mSG18UB28geforvG+2xwuN/nlNoorHfRPjgrosbHCsyf1UIm2XSopysKZ/dpxkmkPl2y4hq/NT+Ca9wTsXwGuY7vsVgJP0WQKPI12UuuZFQbA1p8gJg2GXt+8i2pGNa74euzILsPqcDMgJTrgdrPnh55NHwan3A/WYtj2c5OuqdTqDPhhZjHqapRo5JXZMOoVNjw2iS6xZlj9oTa8ObFHk65FCCHE8ckbeNp9gecg7ePBNa20ItES4sNNhJsNPH521YSCuHAtkOuRFOG7rW10kKziwTUQ2R7C4mve1wIakvH87a7RvHWZ9rVs1Ot8+zJ9LFHabPMt38OeP2t9nkpv4OkXjNudbgrLtZL32DAzkSFVVXFbs0r41zcbeOR7LSucFAbMvAL+NxEF+MM1AOPSl+HDSfC/U7VxNMcoCTxFk6m0a9+g/qUFQbldkL4EOo45pmdE1rji67Hf07msc0J4wO0m7y9qp1sra43uoG2ybwLztmSTdv9sduSUBpT4hhi1uVXeNa7cW8CSXXkkhJu1Mo9N30B57jF9AUAIIUTLMlWv+AlP1BoMZaxsxVWJ5lRc6SCvzM6t47pw0VBtD6L/SBJFURjTLYEQo77mBANVhf3Lm73Mti7eSrCkOraCdYgL43RP1Z7R29W2ulF3Qmxn+PQc+OE2bR59Nd6M5xi/jKfdpVJQrlWgxYQZA86VN2eWMHP1AUptTuItbkK/uwq2/gjj/s3ssT9zreM+cm7cCGe9BlnrtddtyIyko1C9gaeiKN0VRVnn96dEUZS7FEWJVRRlrqIoOz0fG9BNRhzPKjyduao31anh0EZtflPamBZYVfPx/mB1VvvB5G1b7xuU7GHyzEKzO91a19j+F8OehYc9lDiYWesOArDpYAlh5qrPv/cHbaXDxYGCCi5+bxk7sks5o19b2PA1/HgHJPWDzuMbvQYhhBAnBqPBU/HjnxHqNhm2zZbutscp7xzKfslRWIx6frljNO9eMSTgmA+vGsKGxybVfPChjVCaCZ3GtsBKg7McRnMh0C6u1Mh4gpb1vH4ejLgF/v4M5j5S45AKhxOTQUeHuDA+vXYY4Ml4erY+xYaZUBSF0/okMSxNC957K+k8b3iP37hN24p29utwyn3oLVomucIUB4OvggmPQlk22Jt2q1ZLqTfwVFV1u6qqA1RVHQAMBiqAWcD9wHxVVbsC8z3/FiewSod2hcdSX8ZzxxxA0fY5HsO8pbbeUqMlu/K475v1FFdqV7/CqjUXMnu6ANqc2ueJwdeAwQKfnKVdCWyEmNCqINf/db3/F1aHi7lbsnGrMPfuU/h3v3L4/mbt6uNVP8r4FCGEEA0WtOJn3L+1/W+z/++YzcaI2v29vwidAgNTowHo1S6yxgV2g15XM9vpcsKcB8EQAt1Pb6HV1jQwNZoRnWIb1FwIwGRQgjaPBCA0FqY8A8P/Acvfgq2B26Yq/CYbjOmWQLjZgN3p9mU8Yz2dft++fDAvDs7nZeNb/Gj6N6frV7DC1Q0u/04bOYPfeZz33HHUnXDVz2CO4Fh0uGebE4DdqqruA84BPvHc/glwbhOuSxyDrJ7AM6SujKfbDetmaGW2zdBKuyVVz3j+vvkQX63O4P1F2tBk/8wjVLWf911Bi2wL1/6mdfadMa1Rmc/CiqpSjzBTYKktgNXupqjCjqJAcqQevr1W22tx0WcQIsUKQgghGq7GHk/QTsZP+RfsXwp5O1ppZaK55JZaiQ0zE2oy1H+wvz+fh/TFcOYrEJ5Q//HN5KTO8Xx548iagXEtjHpd4Nd3MBOfQE3sjfuba8j85FpUT8PICruLUL8kjHcmaKEn8PSNmFn/JamzL+NU3Vo+c01klO2/3K3eA10m+B7rbYpkdXjWoihao6Nj1OEGnhcDX3j+3kZV1SwAz8fEplyYOPZ4a9pDa8t4uhzwx5NQtA8GXt6CK2se1a/45nl+oHjnMJkNgZ+Hqoyn3w+ydgPgyh9A0cHse45oHVnFlazYk+/7d9CMp9NFqc3JAHMmync3QtF+7ZdAaGyN5xNCCCHqUmOPp1dHzxaaesZNiJbndqu+BMHhsjpcFJY7iA0z1n9wwIu6tAaGPc6EAZcc0Wu3FqNeF1hKHozBxIvxj/O5bTTt9n5L3uwnAKh0OAOSMCaDVrZbUGEnwmzQEhG75sP3/4C00Qyzvcljzqv55znD+fqmkQEvYTFUVa4dDxocMiuKYgLOBh44nBdQFOVG4EaA1NTUw1qcOLZU1pfxnPcYLHsDBlymDeI9xhmqdbXNL7MRHWqkqCL4oG5TsMATIDoVTr4b5j0KG7/Rbivap2Ui2/SBlGFBn++n9Zl0axPBBe8s9bU1h8BMa4hRIUXJxpW3hy7Z8/g3T8MOI4z+Z8AVNSGEEKKhamuuR3w3MIZC5t/Q/6JWWJmozavzdvDaH7tY+/BEYsNMDX7cmn0FXPzecqJCTHRKaMDUAn8HVkBF3jE5r91UW3MhP1aHi482uUiNvwtTnpMLNv4P50lXM29rDt3bVJXCGj2jWQrLXcSGGmDl+7DwWYjpCJd+xTObCii3u7hiRM2xR76JCPUFwceIw8nVngasVVU12/PvbEVR2qqqmqUoSlsgJ9iDVFV9D3gPYMiQIVL0f5w65YUF7MuvQFGqMns1bP0Juk2Bc99q2cU1k+pXfPPK7AxKjeGPbUG/FXwZUN8eT39DrtWC8m+vq3nfmHth7AOgCxxEfPsXf2vjUjzlF7eN68IbC3ZVZTxVlb7L/4/F5p/ha+gJbNN1pcfdcyAs7gjftRBCiBPd/7d33/FtVff/x19HliVvO15Zzt4J2SEQIIEwwp6FUgoU2lJW6fy2pYW28KMDWkopLWWVFiirlDIKlBVWIBAgJGSRhIQkzh62kziessb5/XElea/EsmX7/Xw8eMi+upKPzM31/dzzOZ9PtJ1Yw4vhBLdTsG7Hp10wKmnJgws3AfDqql189Yi2TwSt312OP2gpLvcxY0g7l+asfBoSPDDqpPa9Lg5EUm2ttZhmOjAs3bKPypogF80czG0vXMSZ3k/xPXUlk4PnMiCvtmijx+3CFwxRXlXDLaG74OUFMHQ2nHY7eFI4b1pKs+OIXDuu3XmARxcVcvaUgZw5eUDHfthO1J5U24uoTbMFeAG4LPz1ZcB/O2pQ0r2EQpbNJU4LEWtp+h/ovkJnFm9Ez5llc7saz3gOaKp3VVjdNZ7BkOXzXXX6MCVlwLUfwqXPwzdehxt3wQ9Ww5RL4N3bnX5Oe521o9Zazrp7IeDk/PdJSWT2qFy+PXckGUluCvokO++5fj55m1/iocDJrDnydu7J/ik35fxOQaeIiBySRHcTazwjBkyFXSucNEuJC/5gKHqtsqu0CnCuJdqiJLyMCKBPO2ZKKXwfljziZLl1w0I4nmhWW/O/p4837cUYmDehL3vJ4MdVl5G4dx1Pe2/hjsT7Yd3r4K+OVsiduO8NjvUtgONugMtehPxxrY4jMplw6ytreWPNHl5asaNjPmAXadOMpzEmBTgJuKrO5tuAfxtjvglsAS7o+OFJd1Dd1AxeQ5vedR4j6z96gMgfXn8wRCAYYl+ln5xUL54EVzQNt666azxvefEzHlm0mUU/O57+meFAMTUXRsytfUHmQDjnr5A7Ct7+LWx4E65cwIs7M1gbDlqzUz3srahh5tBskj0JvHf98U4fz5INMP+X1KQV8Jvii7m7YCavb9hIelL3XZAuIiLxIZLx02T634Cp8NG9ToGhNlxYS+x9vqssGkDtPuDj34u38pNnVnDtcSP4ySljW3xtcbkPr9uFx+1icHbzM3P1zL8J3r/LKWJ44k2HOvwu4alzjedpJpPv4017Gd8/I9ob9KXQLN70TeXRrL8xY+WTsPJJSPByhxmJz5fJmKpP2ZY0ioI5P25zH/uhOSlcNHMwRWU+9lXWUFhc2TEfsIu0acbTWltprc2x1pbW2VZirT3BWjsq/Lg3dsOUeFZV05bA8z1IzYe8MbEfUCepm2q7N9ybKTfNw7KbTmLxjSc22t9bZ8bz2aVO380DVYFG+5VW+qMltwE45vvwnSXg9hJ87mpue2kl4/tnMDg7Jfq7j5QHz0xOJGHPKrj3KDiwnb3H/ZYAbiprglT4Ago8RUTkkKWFZ2EqfI3/hjFgivO4fWnnDUha9OnW/QBkpSSyu6yav77zBQD3vLOBQCuVW4vLa+ifmcSCH8/litnDWv9hJRucoHPi+XDtB922cn7kGq+5oj5VNUGWbtnHzGHZ9TL9qkhiyZF3w/dWwEVPwRFX4jYh+tZs4fXQ4bw06tftamFnjOHW8yby4GUzmDY4i/V7ythTVn1oH64LqXmfHLJINdsfzRvNq99vojentU4p7aHHtPkOT3cQmdUMBEOUlDuBYk6aU2q8YQ9PqM3TrwmEKAv/sS6rblyI6Ihb32Dar+bX35g1iHdG3UDCzk85o/I5fnX2BI4cnk2VP0iqJ4ETx/V19rPWKeLk9sK3PyJz0hmke928u66IsupAvVYrIiIiByMj3L/xQFUTxfRyRjn9PLcv6eRRCcD+ypp6tSTe/6KYfyzcRE6qh+mD+7D7gC/aBg5gT5mvxffbW+EjO9VDdqqnba1IPn4AXG6Y92tIyjzoz9HVImnF+5opGLlg3R6q/SFOCl9//eSU2omV2aPzoc8QGHMKzPs1N+f9iVMCf+QHNVfTd/hhBz2msyYPxO1ycef87tuuSIGnHLLI3aAhOamM7ZfReIeSDVC2E4Y1EZR2Y5ET8IFqP7e+shaAnBbWP0RSNf7v6eXRbe9/UdJov0ixoH8uKqy3/fLFBSwITuKGxCeZ/twc5lS8DsAls4Y4J8hQEBY/CF+8Acf+FDIGkOxJ4EvTC/jfyp3sKatuc+NkERGR5kSyZw5UNzHj6XLBwOmwfj7s39rJI+u9KmsCnPGX95hyy3zG/PzVaJu1ix/8iE3FFUwZlEVOmodNxeVs31/F7FG5AOwsbXn2zOcPtdyfva6qfbD0UTjsvG7fqz03zQs49TuasrhwH163i8OHOW3prj1uJP+4fAanTOjH2H7117RmJLujEw6TCrIOekwTCzI5e8oAXlq+s9u2V1HgKYcs2kaluf6dy59wHocd20kj6hyJ4VSJF5fv5N11RYAz49mcSBPguu58Y12zqcq//O9nDbYYrvF/n1+EroS0fE4tvI3pSTv41rRMeO1GuG0IvPwjGHI0HFG7HPuSI4fgD1pCFgb1aeP6DBERkWYkJrhI8SQ0PeMJcPR3oWov3HeMs9RGYm5jUQWrth8gIVz48MIHPqSmzhrcyYOy6JPqid7cPmNSf8DpBR6xdW8lM3/zBsvCqbkAQWtxtSVbLRSEt28FfwUc9Z0O+ERdKyfNmUioW1wJ4PXPdvH22j2s3F7KuP4Z9WaBjx/bl/sunY7LVf/3FQli071uhuW0syVNA989YRSv/mBOtE97d6PAUw5ZJHBq8o7YtiWw8E8w6ULIGdG5A4uxRLdzYlm53Vn6PCAziYFZyc3un5XiYcIAZ0bYU+dEtaGoPPr1gQaptzv2O38QItXoKkmiYsLF8NV/40rpwzP8iNz7J8KH98CYU+G8v8HF/6nXemVkflr0zma04q2IiMghyEhKbPQ3K2rE8XDVu07K7Tu3de7AeiFrLZc/9DFQP/OqsKQi+vXQ3FSyU5znkhJdHDMqD6Be7/FXVu1kT5mPP7z2eXRbyNJ64BmogccvgI/vh2lfg34TD/kzdbWc1MYzniXlPq58dAlff3gxH2/ay6SCtqUSRyYlxg3IaBSUtteg7JQWrzXjnQJPOWRb9znBUZOB55s3Q1o+nPr7zh1UJ4gEj6VVfsb2S+eDn53QajrKfZdMB+C359WelN9Ys5tgyFlvsXN//ZSXV1btYsW2/cxf7bTPvfyooc5rU3MxlzwLM74JR30XrlkEX/obTPoyeBrPal5z7Aj6ZyYxpl/3K2kuIiLxJyPZ3WSBvKicETD2NNixFILNBKjSIQ5UBSgO15rIrhN4FofXb47rn8G88X3pEw48JxVkkepJII1KQtVlULYLgBXbSvFSgw3UXouEQpYWY6VQEJ6/xqm8f9of4Mw/d/Cn6xp9UhIxxqkCHFH3a4DDBrYt8MwIp6Yr66yN7VREGnrioy3MHNaH/ZV+fhRes9go1dZfDVs+gpnfguSszh9kjEWKKwCN8vmbMyg7hQ2/PQ2XIfp7+9Mb69lcUsmdF05hRzjl5T9Xz+LCBz7kVy+trvf6mcOya9Mr+k+CM/7Ypp971MhcFv2s5/RQFRGRrpWZnNh6dc1BM+Gj+2D3KqfNisTE/qradND/d9YELnzgQ7JTPdGlULedN5GkxIRowZzpg7NI/eD3rPD+Adc7Ft4BO+hIrt5Wwu+9W9hRPBj870FiMiFro+m7jWz7BN7+DWx4C0682bne6yHcCS7G9E1n+bb9gBOAFzdY7zmxjYFnbS0UBZ4KPKXdAsEQNzy3kjSvmx+eNDq6vVHguW0xBH1ONdseKDHBhcs4aSij2zGTGDmBnziuLyeNz+f9L0p4Y81urLXRGc8BWcl43a5oxeCI7PY0bxYREYmRo0bk8ue31rOztKq2H3VDg45wHrd+rMAzhupWXj1ieA4XzRzM/NW7a2twhLOxBmYlc7RrJVdtupPEPYt5MzQV74ijOWZoOjWfvURpwMM6U8CUwHp49adw5l2ELPXahURtfAcePddJpz719/VqS/QUM4b24bml2wkEQ1xw/6JGWWmj8tPa9D4XHzGErXur+PrRQ2Mwyu5Fgae0yFrL5pJKhubWLoaOnODKfQE211k/0KjB7ub3AQODZ3XGULtEOEOWMX3bn8L64GUzou/xwvIdbNlbyc7SKlwG8tO9/O1rM/j1/9awZueB6GtaqporIiLSWaYMzsJapypqs4FnZgFkDIStH/XIwCRe7Av3En/qyiMBp19naVVN9OZ1cmICBGoY/8mNPO75J/gGwam/51vPD+Sa/iM55rixPJ/6Va5/ZiUj8lL5P989nLbsCcgfD8HRtam2pdvglethzxrYt8lpnfONVyEluys+dswdPjSbxz7cwjufF/Hplv2Nnne3pb0MTmuW350/qYNH1z0p8JQW/XfZDr7/1DIe/eZMZocXov9vxY7o85tKKslL93LFMcPo37BVR+FC6HdYj0yzbWj0QQSeEZFUjWNvf4fZo3Lpn5mMO8HF0SNzeeV7syn3BajwBXhq8VZG5LXt7pqIiEgsecM3m33+UMs7FhzuLLsJhZxWK3LQDlT7CQRtvewnfzDEo4s2A5CX7hSxyUn14A9aNhU7kwNppevgueth64dw9PfguBsgMQnPS69EK99+vqucFE8CY/tl8PcdF3FagQ9e+Qnnei9nmetrTmu8R8+B8j0w+mSYeAEcfkWPDTrBCTwBHly4EYAReakUl9cw/4dzunJY3ZrOANKiSD77/1bsBKCozMfNL9auO1y78wBzRuVx1bEj6qdiBHxOqu2Qnplm29ChVBgb1bc2mHxvfTFHDs+p93ya103fjCS+e8KoQ66GJiIi0hG8bid9sybYSuA59nQ4sA2W/KMTRtV9lVX7Ofee9/liT1m97be+vCba1/ubDy9m2q/mU+0Psm53GYs2lHDSHxfw1to9ANHiQcePzQfguaXbyeYAWU+dBSXr4dwH4KRbINGZKPC6E6KBZ7nPT2ZyIh63iz02Ey59HoYfx1d9T/Ol4nvhgbngK4evvwJf/ifM/Rmk5XXCb6brDMhKZmBWMh9u3AvAPy4/nJe/N5v89CTy09UX/WBoxlNalBU+iS3dsg+ARz4orPf8njJftEVIPduXQqC6x67vjPj7ZTPYVFxxSAFh5I93xJzRuYc6LBERkZiqnfFspZH9xAtg2RPw+i9h9ClO+q00smCdk855x+vruDdcAX/3gWruf9eZbfvarKEsLnSuxd5eu4drHl8KQG6ah2/PHUF5dYCsFKfo4fC8NEbkpbKhqII/Jf4Tairh6oWQP7bez/S4XdEbB+W+AGleN4kJBn/AgjFw2PmkbXyHE/Y9DRPOhbk3Qu6oTvl9xIupg7PYHm5tl5+e1Gr3AmmZZjylRZH+ket2l/NJ4d7oXbe6mgw8Vz/vPA45KnaDiwMnjOvLFbOHH/L7vP/T46NfHzNSgaeIiMS3aOAZaGXG0xg4/Q7wV8Da/3XCyLqn6nDKclKdQo2LC/fW28cdvsn97vqi6LZpg/vw45PH8v/OPqw28yxQw4X9dnFNwguck/ABZs6PGwWd4LSFi/z/K6sOkJbkxuN2Ra/9GHcmbybM5v6C38EFD/e6oBOcWU9wjncFnYdOM57SIn+dFJrz71sEwGPfPIKbX/yML/aUAzC+YeC57jWnfPr0y3t07n9Hygs3Fz5sYEa00bCIiEi8iqbathZ4AmQPh7R+TjaUNMkXcGaOkxJr54Q2FtUWcAyFLIkJLgKhIO+uK45udzWsOBv0w0OncuX2TyARVjCKScf8oMmf6XU7geeKbfvrzHjWzoKSnMVNnh8yM733Xsvlh9fNurXUqUNoxlNa1PAPSt8ML8eMyuWyo4YCzgkyPam2nyXWwss/hr6HwSm/68SRdm8et4upg7M4Z8rArh6KiIhIqzxtnfEEZ9Zz4DTYviTGo4o//1uxk08azFw2JTLjWXf5zcai8ujX2/dXRdujRFI/AaoDDVKdF90N2z+h8tibmeu7g2s9vwV30xXxPW4X81fv5qy732fFtlLSk9x4Elz1rv2spVfXl4gUbPIHbRePpGdQ4Cktitz1GhZupxI5IQ7Lcb5P8zaYNN+/2flv+uXRxevSNs9de3SHpO2KiIjEWm2qbStrPCMGTnMK3FTtj92g4tBNL3zGfQs2tLpfhS8AgLfOjOeGogr6ZTjXUn9fuKne/inhtM+5Y/JrN75/F7xxM4w9g5S5PyCp3xg83ubbsHnctUFmMGSjM551s92CIUsvjjujgWeqV2m2HUGBp7TIH3Du8PzyzPFAbarBkJwUAKYP6VP/BSuedh6Hz+2cAYqIiEiniwRIbUq1BRgwzXncuSw2A4pDB6r9FJf7KCrztbpvaZXTIz0Ynlmz1rKxqJyTJ/RlckFmtMZGpIDQvPF9WXzjiXxt1hDnDXYuh/m/hPHnwJf+DsBPTh7DdXNHNvszPQ36UKZ5E0lMcBGyTsAJELKWhF4ceU4qyOLsKQN4+uqe25O+M2mNp7TIHwyR4DLkpjp3fCLpFoOyU3jg0ukcVbcQjr/KWds5ah7kNn+iExERke4tErS0KdUWYMBU53H7Ehh+XGwGFWcKw300i8trWt13f6UTeEbSafeU+aioCTIiP43EBBfLt5Xyo3mj2VPm45+LNjOqb3p0Ng6AT/4BLjeccWc042zu2PxGP6euurOrAP0yvQTCAadz/ZdAyFK/XV4vk+Z1c9dXpnb1MHoMzXhKi/zBEIkJJnpyO2Fc7Uls3oR+9VNtN78PlcUw88rOHqaIiIh0IneCiwSXaXuqbUq2U2Rox6dt2t0XCFLdWquWOBcpDlRU5uP219by0oodWNv0WsHSKic4jaz13BAu4Dg8N40r5wznLxdN5dtzR9Iv0wkqR+XX9gBn07uw5BE4/Ip2FXVsOOP5zWOGR7dFllqFbO9OtZWOpRlPaVFNMERigot+mUm895O50bLSTdq6GDAw+MhOG5+IiIh0Da/bhc/fxhlPgH4TYdfKFndZtnU/T3+ylYVfFJOT6uHZa48+xFF2nY3hGc+aYIi/vu2s81xy9D5uOnNCo30jM56RYHtD+LXD81LJz0jizMkDABidn05iguGwgZmwcwW8+3tY+7IT1B//i3aNz+N24UlwcemsIUwqyCTBZaJFo9bsOMARw3OcVNtePOMpHUuBp7TIHwxF734Nyk5pfsfSbfDx/TB4FnjTO2l0IiIi0lU87jqtN9qi72Gw+gWo3NvszNzPnl3Jmp0HANhcUklxuY/cbtpmbFNxRb3vE1yGDzc2XeF2f1X9wHNTUQXJiQnR4kIRJ4zL54Pr55K3fzk8/mVwJcCsb8Os68Cb1uh9W3LS+H6MzE/jxyfX9vhMDF/zXfjAhxTedjrBkO3VqbbSsRR4Sov8ARu9+9Wi5652ekedfXfsByUiIiJdrt0znqNPgXdug9d/Dufc0+QufTO8rNkJiQkGf9CyYU95Nw48y0lOTIiu2xySnRKtXttQwzWeuw9U0z8zqX4rk/IizFu3kLfqOagpg/T+8M3XIWvwQY3v/OkFjbb5G9xIsJZeXVxIOpbWeEqL/OFU2xZVlEDhe3DM9yFnRKeMS0RERLqW153QuI9kS/pPgtk/hGWPw4a3mtwlGLLkpnl46PKZAIS6aftEay2biirqVf8flptKeROBp7U2usZz94Fq3v58D8u37a8NuDcvgr8eAX8YCZ8+DhPOhrP+Atd8cNBBZ3N2lVbX+15rPKUjKfCUFvnCxYVatGuF81hweOwHJCIiInEhPclNWXXTM3gAf3z9c55Zsq3+xjk/AU8afP5Kk68pKvMxdXCf6LVHqJliPPEuUpX28KG1KcVDmwk8K2uC+IOWUflpbCiq4OsPLWbbvipy0z0QDMCL3wNfubOG8+qFcPZfYdrX2lVIqK3SkxLrfe/08VTkKR1Dgae0yB9ow4xnJPDsNyn2AxIREZG4kJGUGO0/2ZQnF2/l1c921d/o9kD/KbB9aZOvKSrzkZ/ujaaYdtfAM9K7c0y/2nWXWcmJ1ARCbCquqFexN7K+81uzh3PL2bWFh3LTvPDZs1D8OZzyW5jzI+g7PqbjvmL2MABmDnOCWmupn+4rcgi0xlNa5A+GWl/juWslZBTE5M6biIiIxKfM5EQ2FJVjreWF5Ts49bD+0WuGYMiyt6Km6TWNA6bAx39zakMk1M6w+YMhSipqyEv3RmfZumuqbaToktedwD0XT2Nc/wzeXrsHgJPvfJfJgzL5yuGDscC4/k5RxsyURL48YRAJLsONz61yijt+dD/kjIJxZ3XKuBMTXMwZnceBcDAcVKqtdCAFntKkan+QG55dydufFzF1cFbLO+9c4azbEBERkV4jM9mZ8Xxr7R6+969lrJ9bzo9OHgPAvsoagiHbdOA5cBoEfbBnNfSfHN1cUu6sc3QCT2dbd53x9AecwNPjdjF3rNMDfXG493lNMMTiwn0sLtwHwBNXHAE4M6IAFx0+mFDIclriEvjkEzj199CJ6a5et4t9lTUc/4d3CIbUTkU6jlJtpZGlW/bx4HsbefbT7QB8umV/8zvXVELJeqc3l4iIiPQamSlO4LkvXJF1x/6q6HPF5U6qaUVNE8WHBkx1Hhuk2/7sWWfpTl5a7Yyn7aaBZ2TGs27WWFpS7XzPoOzavuiR319WigdwUlsv7VtIzitXw4BpMPWSzhhylMftYnNJZbQPqdqpSEdR4Cn1bCmp5Lx7PuAPr6+LbvvhSaObf8Ge1WBDWt8pIiLSy2QmJ+ILhKgJz+7VDRGLy5zZyyZnPPsMg6Qs2PFpdFMoZHn78yKA+qm27ejWEk8ivxNPnToZ/TNre3J+/4TRuF2G/plJ7A9XtM1KqVPY561fQ8ZAuPRZ8KR2zqDDvA2WWKm4kHQUBZ4SdaDaz5zb3260/co5w5t/UbSwkGY8RUREepOMcGpoWbUzY1d3drKo3GnL0VQVV4xxZj131M54btlbGf16YJ/kaGZpsLvOeAYaz3hOHVzbWqVPaiLnTB2Iy5hoD8/M8O+T4i9g22KY8XVIrn1NZ/G6E+p931qNSZG20qEkUXe89nmT25MSE5rcDjjrO5MyO7yPlIiIiMS3SKBUUuHM2DU349lkuuzAabBnDfid9NzPdhwAnPWO+elJPSbVtmFngAHhWc/M5ES8bhe+QJANReXkpXtrr7eWPwnGBZMu7NQxRzSc8VSqrXSUNhUXMsZkAQ8Ch+GcV74BnAx8CygK73aDtfblGIxROsHKbaU8+uFmhuakUFhSyUvfOYZgyEbXaDSppgLWvQYDp3fqoncRERHpepHAc2epM7tZN0aMXD+ELFT7QyR7GtzEHjANQgHY+A6MOZXPdpTidhmmD3Vm+BJc3byqbSBS1bZ+EJeW5IZSZ1bR43bhC4T4fFcZY/s5lW0JhWDFUzDieEjv19nDBhqPOUFlbaWDtHXG8y7gVWvtWGAysCa8/U5r7ZTwfwo6u7F/Liok1evmv9cdQ+Ftp3PYwEwmD8rihHF9m3/RwjuhbAcce33nDVRERETiQiTw3FXqzFrWrUAb6WMJzaTbjjoJsofD67+AQA2f7TjAyPy0aJpnd69q21RxIYAfnzwWgME5KXjcLqpqgqzfU86YvulO5L74b1C6FSZf1Oljjmg4ZsWd0lFaDTyNMRnAHODvANbaGmvt/hiPSzrZ4sK9HDk8p3Z9QWuq9sP7f4aJF8DgI2M6NhEREYk/GeEqrTv2OzOegWDdNZ61gWeTBYbcXjjlNqcy/pKH+WzHASYMyIw+beK4j+eesmp8gSaq9dbRVHEhgJPG96XwttPJSErEm+AiELLUBEKM6ZcOr/4UXvkJDJ0NY8+I2fhbo+JCEittmfEcjpNO+5Ax5lNjzIPGmEh5reuMMSuMMf8wxnT+6mfpENX+IIUllUwcmNn6zhE7lzs9uKZ8NXYDExERkbgVnfE84ASeFTW1AWZxeU10pqzu9npGnwy5o/F9/hrF5T4mDMiIPhV5bTyu8Zz5mze55rGlLe7jb2bGsy5vnRoa4/tYWPIwTPoKfO0FSExq9nWxFpl17pfhjEGBp3SUtgSebmAacK+1dipQAfwUuBcYAUwBdgJ3NPViY8yVxphPjDGfFBUVNbWLdLG9FbUNm9ts53Lnsd/klvcTERGRHilS1TYYnpb8cGMJ739RzIl/XMCanQcY2MfpVVnha3520A6cQdWmxYBlSE5KdLvLBplm1hGKs34qkc/61to9Le4XmfFsWFyorrqzoaOLXodANRxxFbi6tvbnhAEZTByY6czColRb6ThtObK3AdustR+Fv/8PMM1au9taG7TWhoC/ATOberG19gFr7Qxr7Yy8vLyOGbV0qJJyJ/DMTvW0/UU7l0PmIEjNidGoREREJJ4lJrhIDRcN6pOSSEGfFC5+8CO+2FMOwNAcJ0Hu891lVNUEuW/BhkYpqmUDjiLLljLTrHWuQ0JB+PwV+j97Ls96b2bglhc790O1otrfcoptRG3g2XzUFpkN7ZccInHRn6D/ZKfNTBc7amQuL37nGKcQEiouJB2n1cDTWrsL2GqMGRPedAKw2hjTv85u5wKrYjA+6QQlFc46jNy0dgae/TXbKSIi0ptF0m3z05O49rgR9Z6LBJ6/eH4Vt7/2Obe9spbHPtxSb5/SIadSZpO5IGGBE3i+8F148iu4Swud99jyTOw/RDtUtTHw9AVDeNyuFluRZNfs4J+Jt/Ku/bpTUOjkW+OqS0BiOOBUOxXpKG2dy/8O8LgxZgVOau1vgd8bY1aGt80FfhCbIUqsRVJts1PbmGrrK4OSLxR4ioiI9HKRdFtvoouslPo3sOumzv7j/U0AfL7rQL19DoQSeTE4izMTFtHv41th2WNw5LXsvmIZdwXOJXfvUqgoifGnaLuqmrbPeHpbSLMFOGr5T5ni+oJ3Ms6GrzwBQ4/uiCF2GHd4/FrjKR2lTYGntXZZOF12krX2HGvtPmvtpdbaieFtZ1lrd8Z6sBIbkVTbnLbOeO5aCVgFniIiIr1cZMYzyZ0QrXIbEZnxrCtyszuiwhfkvuCZVJCE96O/QN5YOP7nuNwe5gen4yIE616J3Qdop7am2vrDM55NCtTA27eSs285fw6cx+uDvgtjT+/AUXaMSJqwJf4KPEn31LWrlyUulFTUkJhgSPe6W98ZagsLKfAUERHp1TLrzHhmNGjJVnfGMxLENOzpWe7zs8X25QjfX+F7y+Gq98CTisvAKjuMA6lD4PWf1157dLG6qbZfuvcDNhVXNLmfzx9qurCQtfDoObDgNtb1PY3Hgie2r8ZGJ3KHixwF47GnjXRLCjyFknIfOanetufw71wOaX0hvV9sByYiIiJxLRp4uhMaBZ59M512HIOyk1n2y3kcNyavUYXbsmonEP3X1bOhz1BwO0GYc01ieHP6veBJg39d7ARtXaxuqu2Szfv4pHBvo31CIcvSLfsYlJ3c+A22fAib34d5v2HZjN9TjZdx/dNjOeSD5g7fLPAHu/73Lj1DG6e4pCfbW1HT9rttoRBs/Qj6TYrtoERERCTu1V3j2TDVNt3r5oXrjqagTwqpXjepXjdbSirr7RMJRAv6pNTbHqmkWpY8EOb8CF78HpRsgNyRsfoobVIdqN/epajc12ifB97byIaiCmaPaqKbw7LHITEVpl/O+Ymp9MtMYvao3FgN95BEZmwjPUlFDpUCT6G4oqbt6ztXPQN7N8Kx18d2UCIiIhL3IjOeCcaQ6ql/WWmMYVJBVvT7NI87mmp7/4INbNtXFb3+SGsQtEY6eARDFoaEi+5sfr/LA8+GxYWKyhoHnqu2lwJwyZFD6j9RUwmfPQ8TzgFvGi5gzuj4bTXoDv9PCCjwlA6iwFPYW+FjWE5K6zsGauCtX0HfiTDxy7EfmIiIiMS1SODpCwRxuQzXzR3JEcOzmTwoq9G+qV43pVV+Jt38Ggeqa9d6et0uUhIT6u0bWf4TskDOSEjNg80fwPTLYvZZ2qJhcaGmAs+y6gCTCjIZmZ9W/4m1/4OaMph8USyH2GHc0RlPpdpKx1DgKZSU15CT1oZWKls+gP2b4cLHwKXlwSIiIr1dbeDpzIr96OQxze6b6k3AFwhF9/3dlyZy34KNXHj4IFyu+nUmIt9aa53elkOOhk0LnHWeXdjeo25xoexUD8VNpNruPlDdKHUYXxksvBMyB9fO4Ma5SB9PFReSjqLAs5er9geprAm2bY3njk+dx25ywhQREZHYigSebWkzkhqunp/udfPb8yZy5uQBXHj44Cb3dUVnPMNBz6h5sPp52LWiS6vqH6jyAzB5UBYZSe56M7cRuw5UM31In9oN1sJ/vgFFa+GrT3Wbm/fRGc+QUm2lY3SPI19ipiTcTyu3LWs8dyyDrMGQkh3bQYmIiEi3kB5em1ntbz04yUhygtQ/fWUKZ04e0OK+rrqptgCjTnIe1712cAPtIMXlPpISXTx/7VEkJybgaxBw79hfxf5KP6Pqptnu/gzWvw4n/LL2c3QDkRY4/oBmPKVjaMazlysJp4hkp7Yh1XbnMug/JabjERERke4jKbw20xdoPfA8bWI/EhMMc8fkt7pvZFIwOuOZlu9kXC36K0w8H7KHH/SYD0VxeQ25aU4LuqTEhEafe+mWfQBMqzvjuWmB8zjx/M4aZoeIVBYOaMZTOohmPHu5yIxnq1Vtq/bBvkIYMCXmYxIREZHuIbJUZ0zftFb2hKwUDxfMaLyesynRGc+66wvP/quzvvNfF0Oo9dTeWCgu95EbrovhdbvYVFzBSyt2RJ9fsnkfSYkuxvXPqH3R5g+cHqWZBZ082kMTuUFw9pSBXTwS6SkUePZyq3ccAGBQw0XwDe1c7jxqxlNERETCBmQl8++rZvHb8yZ26Ps2SrUFyB4GJ/0K9qyG3as69Oe1VVFZbeAZme297olPo88v3bKfSQVZ0R6YWOv0Px90ZKeP9VANzU2l8LbT669XFTkECjx7uXfXFTG+fwZ56a2k2u5Y5jwOmBrzMYmIiEj3MXNYNimejl29FZkUjabaRow80Xnc9G6H/ry2KqsORAsqed31L6Or/UFW7yhl2uA6gdrejVBRBIOP6MxhisQlBZ69WFm1nyWb97WtefHOZU4JcBUWEhERkRgzTc14AmT0h5xRXRZ4VvmDpHicmU5vYv3L6M92lOIPWqYNzqrduPUj57EbzniKdDQFnjG0dW+l038qTi3aUEIgZDm2LYHnjmUwoOvKl4uIiEjv4jI0fR01bI6zbjLo7/QxVdUESQ4HnobataqPf7SZqx9bCjgpqlFbPoSkTMgb26njFIlHCjxjZOmWfcz+/ds8vWRbp/y8ojIfQ3/6P95eu6fNr3lvfTGpnoTWc/fXz4d9m2DonEMcpYiIiEjbJLhM41RbcALPmvLaZUCdxFpLlT8YXdsZqDMd++c311NU5nQKiLSYwVfmXEMVzOw2vTtFYkn/CmLAHwyxcH0xAEs37+uUn7ly+34AHv6gsM2vKSypYGR+Gh53C4eBvxpe/rGT1jL98kMao4iIiEhbGWMap9oCDJ3tPEbalHSSSOuU5HDgGazTZmT3AV/060i/Ul65Hsp3wez/67xBisQxBZ6HoLC4gjP/spA9B6rrbf/x08v54/x1QG3Fs1irCTf3jVZRa4P9lX76pLbSRuXz/zmznafcBu5W9hURERHpIC7ToJ1KRGoO9D0M1v6vU9uqVNU4Pys5vLbTH2w8tgSXcdaA7loJyx6HY34AQ2Z12hhF4pkCz0Pw1CdbWbm9lJm/fZOSch/V/iBVNUGeX1bbz8kXiP0JsSYQ4urHlgDgcbfeGytiX2UNfVJaCSa3L4UELww/9lCGKCIiItIuLtNMqi3AkdfAjqXw+s87bTxV/nDg6YnMeDYeW3qS2ymMtPEdZ8Ph3+qs4YnEvY6tfd3L5KXVtiD50r0fkOxxs253Wb19Ivn+sfTRppLo1+2d8cxKSWx5p53Lod9hkNDKfiIiIiIdyNVcqi3A1Etg5wr48B6YfBH0nxTz8UQCz0g2W92lSkePzOH9L0qiabiseckpKJTRP+bjEukuNON5CMqqAwDccvYEtu+vYs3OA43ufnVG4LliW2n067YW0a0JhCj3BchuacbTWuek3l/VbEVERKRzGdNEH8+6jv0JGBes/m+njKc21dYJLr9/4igumF7Az08fF+0Q4HW7YM8a2PqhExyLSJQCz0Owv6qGdK+br80ayqj8dACuOnY4V84Zjsftol9GUqcEnuW+QJNft2R/ZQ0AWS2t8dy3CXyl0H/KoQxPREREpN0SXKblG+qpuTDkaFjzQkzHcef8dZx3z/uNUm3TkxK5/YLJXDF7eDQY9bhdsOQRcCU6M7EiEqXAs518gSArwzOMpZV+MsOpqr88czw5qR7OmDiAG04bx7pfn8o5UwdSVO6LeS/PqpogGUluZg3Poay6bT2tqv31K7M1aedy51EzniIiItLJWlzjGTH+bCheB3vWxmQMoZDlrjfXs3TLfnbsrwKavnbyup1th4dWwNJ/wrgznMBYRKIUeLbTl+9bxJl3L2RvRQ0lFTVkJjuB55HDc1jyi5OYWJAZ3Tcv3Ys/aCmtOvQGx/5giOc/3d7kjGZlTYBUr5v0JHc0/bc1NUEn8ExMaKEY0Y5lzh27/HEHM2QRERGRg+ZqLdUWYOwZzmOMZj3La2qvq/70xnoAcurU+IjwJro43KzllrJfQp8hMO/XMRmPSHemwLOdlodnOxdtKGHhF8WMyEtrdt+8dOfE1JZ0W2str67aSbW/fhXcnaVV7K+s4drHl/L9p5Yxf/WuRq+tqAmS7EkgPSmxzYGnPxx4eloqRrRlkbNY3934BCsiIiISS8YYgqFWdsroD4OOgJVPg7+qw8dQWlk7ebD7QDW/P38Sw3JT6+9kLYN3vc5fPH9hX0IOfOM1yCzo8LGIdHcKPNuh7mzjIx8UEgxZ/m/e6Gb3z0/3kkCQkpLiVt/7heU7uPqxpfxzUWF025trdjPr1reYcst85q/eDUBxWU2j11bVBEnxJJCe5OZAG1NtA8FW+n6u/A9sWwwjTmjT+4mIiIh0JJehbcuVZl0HxevhXxdDoPF10sEoKvNRWFwRzVo7Y1J/XvnebL48Y1D9Hfdvhb/PY+qH32e/TeOuvFsgKaNDxiDS06idShu9tXY3L63YGf3+48K9jMpPY0hOatMvKNvFlNcuYrV3Bd5/B5y7cSNOgGGzYfAsp1RbmLWWvy/cBEBJee0J88mPt9R7y8QEw97KxifUypoAKYluMpLclPsChEIWl6vlfp7RVFt3E4Hnkkfgxe9CweEw88oW30dEREQkFtq0xhNg/Flwxp3w0vfhs+dg8oUAbboeas7pf36PPWU+nrjiCAAuOXJI09d8b/4/2L2KldN/zdnvD+WEFLVPEWmOZjzb6KH3C3l26fZ62+aOzW96Z2vh1Z/iLV7FQ8FTWTL0SghUwzu3wkOnwiNnQsmG6O5b9lZGW6Js2VsJQEm5j3c+L+LkCX2j+/VJ8bC3vOkZz+REF+MqPuYYs4KK8v2tfh5/c2s8gwF47w4n6Pz6q5CW1+p7iYiIiHS0Fvt4NjTtMsgYCGtfBODzXWUMv+FlFq5vPeusKXvCy6Q+23EAIFrTo569m2DVM3D4N9k46DxCuOr19hSR+vSvo40KSyqYOSybn59eW2jnuDHNBGXzf+nccTv2eu7kYl7L/wZc9S5cXwin3wHbPoG/TINHz4XqA6zZWQbAsNxUXlm1ix89vZz/LNlGIGT54UljAJgxpA/ZqR5KKmoapZ1U1gSZ63uLU5dfx6Oe2/A+dpYTQLagNvBscAis+S/s3wxHfx8SNCEuIiIiXcPlakNxobo7D5sDWz4Ca/l8t3Nt9bf3Nh7SGH7z8hoAMpoKPD/4M7jccOS3mTDASa89Y6JmPEWao8CzDWoCIbbvq+LIYdlcMXs4lx81FIAZQ7KbfsG0y+Dk32Jm/x956d7a4kLJWXD4FXDdx3D8z2HjAnj8fCo/e4VprnU8fdl4vnnMMP6zZBu3vrKWmcOyGdMvnfd/ejyPfGMm2ake3lizm58+s7Lej0vx7eHC4rvZmzONX/gvx7NnBXx8f4ufqcnAc/MH8OoNkDMSxpx2ML8qERERkQ7hMq308Wyo4HCo2AP7NxPJ5/piT3m7f661Fk+Ci1nDc/jarCGcPKEvfdMbFFrcvgQ+fdzp1ZnRn5H56az/zamcqsBTpFkKPNtgV2k1IQsF2SkA/OKM8ay55ZTm0ylyR8Ksb4Mx9QPPiKzBMOfHcP4/YMcyzlvzfZ713Ezu36Zyo+cpTkl31nvedOZ4AAZmJZPqdTMgKxmA/yzdxq7Sagj6Ca18ll9V34bb+vniqN/zaPAk9hccD2/9BnZ/1uxnqglEiguFT82fPQcPnw6eVPjyP507hyIiIiJdxGUMwTbn2uIEngDbPokWhGzYLaCupz/ZyovLdzTavq/ST00wxEnj+3LL2Ydx/6UzcNe9Ub/udfjHKZDW17meC2u2YKOIAAo8o4rKfPx78VZ2H6hu/Fy5sy0/fLcrwWVI9jRuHtyUvDQve8oavycAE85h/1VLOb/mJp4f90cYNgfXoj9zn/9GVkx4kgmZ9SvU9klx0jxCoSALX38a7j0K1zNfZwB7WDrlFhLzRgKG1VN/Ca4EuPcoeOoS8Df++YFQg3Yqi/4KOaPgyneg74Q2fTYRERGRWDFt6eNZV/54SEyFrR9TXt164Hnn/HU8umgzAI9+uJlfv7QafzAUrWTbJ7WJ9FqAd37rTCJctQCyBjW9j4g00qbA0xiTZYz5jzFmrTFmjTFmljEm2xgz3xizPvzYJ9aDjaVt+yr5yTMrWLW9tNFzkRnLvIZpFm3Q5IxnHQt2GD4JjWHIrPPgoifh+s1w/M/J2PQq3D4C/jQRFv4JaipJ97j4tfvvLPdeyfmfXYcN1PDBjD8z03cPObMuJj3JOUEWJeTDtz+GY6+HNS/Bvy5q1NuqXqpt6XandcqkC1QCXEREROJCQntTbRPcMHAabPuYsnB7uSp/kG88vJhT73qPreECjuBc2+0orY62ofvF86t4cOEmjrv9nehr07xNBJ7bl8KOT+GIqyGlmSVXItKkts543gW8aq0dC0wG1gA/Bd601o4C3gx/321Fgsri8sZB4qEGnvsq/dQEmu6AvGBdEX1SEplUkOVsSMpw0jaufg/m3gjZw+GNm+COsVy39hIucb9J2eATuN7/LS7gd3x1YS4pXg/Dc9PISHKKAZVVB5yGynNvgLPvhg1vwx/Hw2s3Qnim0x9JtXW7YPV/nZ897ux2fz4RERGRWGhzO5W6CmbArpVQ5rTAC1l4a+0e1uw8wLWPL43uFploKK3y1yvauH1/VXS2ND2pQZHFYADe/QN40mHSlw/iE4n0bq2WLTXGZABzgMsBrLU1QI0x5mzguPBujwDvANfHYpCdITfNCSqbmp3cdaAal4Gc1PYHnjnh991XWUPfjKRGz3+0cS9HjcwloWGfqfxxzn8AmxfB8idw7V4N835N/yOv461b36RolzPWiQMzcblMdMazrLpORdupl0BmAXzyECy6G9xeOOGXtX08XcDSf8KAaZA3ut2fT0RERCQWjIFAe9Z4Akz7Gnx4H/MKb+fPXFOvJcvK7aVYazHGRNvYHajyN7r2OxC+jkrzhi+TdyyDpy+DfYXO93NvhKTMg/xUIr1XW2Y8hwNFwEPGmE+NMQ8aY1KBvtbanQDhxyabWhpjrjTGfGKM+aSoqKjDBt7RkhITSE9yU9ygT6a1ljfX7GHiwMzGwWEbpIbXglbVNF5j8MRHW9i+v4rDBrRy8hoyC876C3zrTTjqO7hchtmjcqNPD81NDX8GF26XiaaIRA0/Di542DkZv3cHvPxjvGVbcBMgbcm9ULQGpl/e7s8mIiIiEisZSYkcqPK3vmNd2cNh7s84rGwhF2Wv59NfzGPiwNrrrFXbnb6cK7fvB6CiJsjqnQfqvUXkOiojfEOf126A6gPOEqZz74fZ/3dwH0ikl2tL4OkGpgH3WmunAhW0I63WWvuAtXaGtXZGXl4zfS/jRF6al6IGqbYPvV/I2l1lXHzEkIN6z+TEcODZxOL2G55z2qKM7Zfe7vc9f1pB9OsReU7gaYwhLcldf8Yzwhg47Q6n1cviv3PuovP4r+cXpCz4fzB8Lky8oN1jEBEREYmV7FQPeytqWt+xoSOvpdKkcmxwEZkpiTx2xRE8dLlT8XbVDmemc8W2Ukx4PmHp5n31Xh6piJue5Ia9m2Dz+3D0d50lTJO/4hRwFJF2a0vguQ3YZq39KPz9f3AC0d3GmP4A4cc9sRli5xmQlVxv4fmq7aXc+soaThzXlwtmFLTwyuYleZoPPAdlO+1R6s5ettVRI3N55Xuz+dU5h3FZuK8oOCfJRjOeEW4PnPVn+P5K9qUMY5TZhv/s++DS58CT0u4xiIiIiMRKdtpBBp4JiaxKmsoM/xKwlszkRI4dnUdSoosv9pRTXO5jT5mP8f2dgooPf1BY7+WRG/jpha/BY18CkwATzj3UjyPS67UaeFprdwFbjTFjwptOAFYDLwCXhbddBvw3JiPsRBMGZLB2Vxn+YIgtJZVc+vePyEn1cvv5kzCm/Wm2AEluJ/BsWM47FLL4A5bzpxfU7w3VDuP6Z3DpkUPq9Y1K9yZG79Q1ZW9FDaWefJ6a+CDH19xBwuSvwEF+NhEREZFYyU7xsK+yhlB713kCSxJnkBsqhj1rAHC5DCPy0li/pzzaOi9S2PFAdYC8dC9Z4bZ1RWU+TvWuwP30JZCQCBc/DX2GdshnEunNWi0uFPYd4HFjjAfYCHwdJ2j9tzHmm8AWoNvnao4fkEFNIMSGonIefr8QXyDEU1fNok+q56DfM9Lvs2HgectLq9l1oJrM5GZ6RB3Cz6v2N11BF+DEPy6gwhfAFwgB+bgOYt2qiIiISKxlp3oIWdhf5Se7nddiixOmcg3AF29A3/EAjMpPY3Hhvmg9j8kFmTz5sbN/gjFcPns4f3htDZvXr+CP7n9A5nC46j0nY0xEDlmbAk9r7TJgRhNPndCho+liw8JFelZsLeWZpduYNSKX0X3bv/6yrugaz5raYLC43MejHzoNi1M8HbtOwOt24Qs0Tuvdsb+KFdtKDy5lRURERKSTRdrY7SmrbnfgucNms80zjIIv5jvrM4GR+Wk8v2wHW8LLqiYW1BYduufiqSS8/Ssu9f6LjIpKgsYNX/qXgk6RDtTWGc9eYUi2E3j+5JkVAGR1wGxkw+JCr67ayVOLtxIMp420lBZ7MLxuF+W+AHsrakjxJPDyyp3Mm9CPr/7tQwpLKlt/AxEREZE4UNDHqYWxdW8VY/tltOu1NcEQa1JnUrD5WajaB8l9GJnvTCZ8vGkvAIOynfoWbgJM23AvFP6DV0OH825oEhd+6ctMHji9Az+NiCjwrCMzJZHM5ERKw6W7Jw/KOuT3TPI46y+r/EEOVPu5+rGl9Z6v6PDAM4FV20s56rY3SfM67WGSEldG028HZCbx7eNHcv+Cjbz+gzkd+rNFREREOkokMIwUfiyt8rd5iVJNIMTy3JM4af9/4IXvwJcfZVTfNABeXL4Dl4F0r5vHvzKE6QuvhHc/Y9ugM7lm/YVYXPxy4uGx+VAivZgCzwZ+e+5E+mclkZ/upX9m8iG/X2TG89Mt+8ipkybym3MP44MNJXzvxNGH/DPqSkp0EbJQ7Q9R7XfSaiNB550XTmbGkGwGZaccdHsYERERkc6Qk+ohzevmj/PX8fAHhWzZW8l/rp7FjKHZ9farDt/cz09Pim6rCYQoThsDJ/0/eP3nsOwJhky6KPp8yII5sJ2j370UynbDhY/hy52LvWMB4PR3F5GOpcCzgdMn9e/Q94ucuJ5dup1nl24HnJYnZ0wcEJPgzxuuousy8Okv5rGvsobj/vAOAOdMGXjQ1XlFREREOpMxhvsumc4TH2/m5ZW7APh8d1mjwPOnz6zg+WU7eOQbMynok8yIvDRqgiE8bhfMug4WPwjLn8SdmMRVmSsoLqtmkmsD3P2B05Pza8/DoJmMAH40bzRj2pnWKyJto8AzxhIbtEpJSnSx4qZ5MQsAvYmu8M9JcFKHUxI5e8oADh+araBTREREupVjRuVyxPBsXl75CuDMZNYVDFmeX7YDgMv+4ZSoLbztdHz+EJ4El9MybtixsPQRKHyPnwF4wGfdMP7LcMwPIK82++y640d1yucS6Y0UeHaCY0bmsvCLYgAGZiXHNAD0umsDz4i7vjI1Zj9PREREJJYSE1y8++O5zLn9bYrKfPWe+3xXGeDc2K/bTi464wlw4s0w9nTILGBnBVzwt48ptWmsPLfbdwIU6VYUeHaCR785kyp/kCc+2hLzWcdIwJnkdrWyp4iIiEj3MDgnhX4ZSY0CzyVb9gHwwnXHMO/Odxmak0IwZAmGbG3gmZINo08GIKsmyDZbSFZKx/ZRF5HWKfDsBMYYUjxurpg9POY/KzLj6U5Q4CkiIiI9x4j8VBasK6LcFyDN61zCLincS366l1H5aZw3dSAfF+6NpuN6mrgJn+xJ4Oenj+PY0XmdOnYRAUUnPUykuJCIiIhIT/KjeWMoKvfxp/nrots+3bqfaYP7YIwh1eumwheIBp7NXRNdMXs4o/qmd8qYRaSWAs8eJlJcyKU6QiIiItKDTB3chwumF/Dgwk1865+f8MWecrburWRkvtOfM9XrptwXwBcMAk3PeIpI11GqbQ8TSbVVBVsRERHpaWYOy+Hfn2xj/urdlJT7CFnon+X070zzJuAPWsqqA0DtNZGIxAf9i+xhkj3OvQR/MNTKniIiIiLdS98Mb/TrqnAV2wFZyYAz4wmwsagCgPx0LyISPxR49jAFfZyTb8OqbyIiIiLdXb+MpOjXu0qrAKdVHRAtOLRud1m97SISHxR49jBDslMA8AU04ykiIiI9S7/M2sBzX6Wf4bmpjMxz1nj2SfEA8NmOUgD6K/AUiSsKPHuY7FTnpNu/zolZREREpCdIT0rkgUunMzh8o/3KOcNxhSsq5ofTcD/dsp/M5MToDKiIxAf9i+xhjDG8cN3R9M1Q4CkiIiI9z7wJ/Xh26Xaq/EHOmTowuj0/3bn22Vlazbj+GV01PBFphgLPHmhSQVZXD0FEREQkZm46azzV/hBJibW9OnPTPBgD1sLALN2AF4k3CjxFREREpFvpn9l4/aY7wUVOqofi8ppopVsRiR9a4ykiIiIiPUJeON1WgadI/FHgKSIiIiI9QqR3pwJPkfijwFNEREREeoS+4cq2WuMpEn8UeIqIiIhIj5CvVFuRuKXiQiIiIiLSI8yb0JeiMh990zXjKRJvFHiKiIiISI8wqSCLSedndfUwRKQJSrUVERERERGRmFLgKSIiIiIiIjGlwFNERERERERiSoGniIiIiIiIxJQCTxEREREREYkpBZ4iIiIiIiISU20KPI0xhcaYlcaYZcaYT8LbbjbGbA9vW2aMOS22QxUREREREZHuqD19POdaa4sbbLvTWvuHjhyQiIiIiIiI9CxKtRUREREREZGYamvgaYHXjTFLjDFX1tl+nTFmhTHmH8aYPk290BhzpTHmE2PMJ0VFRYc8YBEREREREele2hp4Hm2tnQacCnzbGDMHuBcYAUwBdgJ3NPVCa+0D1toZ1toZeXl5HTBkERERERER6U6MtbZ9LzDmZqC87tpOY8xQ4CVr7WGtvLYI2Nz+YXaaXKDhOlaRrqBjUeKBjkOJFzoWJR7oOJR4Ee/H4hBrbaMZx1aLCxljUgGXtbYs/PU84BZjTH9r7c7wbucCq1p7r6YGEE+MMZ9Ya2d09ThEdCxKPNBxKPFCx6LEAx2HEi+667HYlqq2fYHnjDGR/Z+w1r5qjHnUGDMFZ/1nIXBVrAYpIiIiIiIi3Vergae1diMwuYntl8ZkRCIiIiIiItKjqJ1KfQ909QBEwnQsSjzQcSjxQseixAMdhxIvuuWx2O7iQiIiIiIiIiLtoRlPERERERERiSkFniIiIiIiIhJTvSrwNOHSvCJdTceiiIiIiPQmvSrwpPd9XolfiV09ABEAY0xu+DGhq8civZcxZmhXj0EEwBgzwxiT39XjEDHGnGiMmd7V4+hIvSIQM8bMNMY8BtxqjJlojOkVn1viT/gP2tPA7caYY3SxL13BOFKMMU8C/wWw1ga7eFjSCxljphlj3gBu0flQupIxZoIx5gPgJiCri4cjvZgxZqox5hXgOWBkV4+nI/XoAMwY4zLG3AQ8CLyC07f02zTRl1QklsIX+rcB9wEvAbuB64DBXTow6ZWsozL8ba4x5hpwzpldOCzpRcLnxBuBJ4F/WWu/Frn5oaUI0kW+BzxnrT3TWrsOdCxK5zLGJBhjHgD+BtwPPAGMCz/XI/4+94gP0RxrbQjYDFxurX0c+A0wBNBdVelU1ulb9A5wkrX2EeAhwAJFXTku6Z3CF/39cW6AfBO4xhiTZa0N9ZQ/bhLfwufERGChtfZBiN7ld1v1eZNOFL7Yz8b5m3x3eNu5xpgCIDn8vQJQibnwzbdXgdnW2ueBZ4C5xpikcEzT7fW4Pp7GmGOBamvtR+Hvk4AaINFa6zPG/Bt41Fr7YleOU3q+hsdine2zgceAHcBHwP+stfO7YIjSS9Q9Fo0xrsgfMGPM8zgz79cDFcDfrLUbum6k0pM18fc5FefCahVwLM6NkFKcWaf/dNlApcdr5lrxU+BHwEVALrALqLHWXtllA5Uer4VrRQOcAFwIXG+t3dsV4+toPebOtjEm3RjzLE4+9FXhu1cAPmttKBx0JgIFwOddNlDp8Zo4FvuEt0f+ve3FmYWfBSwHvmqMGds1o5WerKljsU7QORrYaK3dBswHrgWeNsZ4w+dKkQ7R3DnRWlsBPApMAf7PWnsG8C5wSvj4FOlQLRyL1TiZSH8FXrPWngLcCBxmjDm1ywYsPVYL14rGGGPCmR9rcYLPpMhzXTbgDtJjAk+cWc23gEtwZpLOh2g6T8Q4YLe1dl34f/jMzh+m9AINj8ULIJr6jbX2M2vt2+F9F+AUMSjv/GFKL9DksRi2AxhtjHkBuB3nWNxsrfVZa/2dPlLpyZo9DsPLYL5srX03vOkNIA+dEyU2Wjon3oOTWpsHYK3dDiwEekSKo8Sd5q4VrbXWhrOTtuFkxjUV03RL3TrwNMZ8zRhzbHhtkg+niNAbwDpgRuSOqTHGHX5JNlBpjLkc+ACY2BPuHkjXa8ex2PB4m4fz77CsUwcsPVZbj0UgHeeP3UZgurX2TGCQ6WGl26VrtOec2CCF7CSctXYKPKVDtPVYtNaWA98BLjPGTAkXXTsRKOyioUsP047zoitcc8ENrMdZCtMjdLs1nuEL9344lZ5CwAYgFfietbY4vM8o4DKcnOlf13ntrThrmR4G/mStXdG5o5ee5GCPRWOMF5gN/A7YDvzEWru28z+B9BTtPBZ91tpfhbd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+ }, + "metadata": { + "needs_background": "light" + } + } + ], + "source": [ + "df['Close: 30 Day Mean'] = df['Close'].rolling(window=30).mean()\n", + "df[['Close','Close: 30 Day Mean']].plot(figsize=(16,6))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## expanding\n", + "\n", + "Maintenant, que faire si vous voulez tout prendre en compte depuis le début de la série temporelle comme valeur mobile ? Par exemple, ne prendre pas seulement en compte une période de 7 jours, ou une moyenne mobile mensuelle, mais prendre en compte plutôt tout ce qui s'est passé depuis le début de la série temporelle, de façon continue :" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "" + ] + }, + "metadata": {}, + "execution_count": 8 + }, + { + "output_type": "display_data", + "data": { + "text/plain": "
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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ], + "source": [ + "# Facultatif : spécifier un nombre minimum de périodes\n", + "df['Close'].expanding(min_periods=1).mean().plot(figsize=(16,6))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Les Bandes de Bollinger\n", + "\n", + "Nous parlerons plus tard beaucoup plus des graphiques d'analyse financière et des indicateurs techniques, mais en voici un qui mérite d'être mentionné !\n", + "\n", + "Plus d'informations : http://www.investopedia.com/terms/b/bollingerbands.asp\n", + "\n", + "*Développées par John Bollinger, les Bandes de Bollinger® sont des bandes de volatilité placées au-dessus et au-dessous d'une moyenne mobile. La volatilité est basée sur l'écart-type, qui change au fur et à mesure que la volatilité augmente et diminue. Les bandes s'élargissent automatiquement lorsque la volatilité augmente et se rétrécissent lorsque la volatilité diminue. Cette nature dynamique des Bandes de Bollinger permet également de les utiliser sur différents titres avec les paramètres standards. Pour les signaux, les Bandes de Bollinger peuvent être utilisées pour identifier les valeurs hautes et les valeurs basses ou pour déterminer la force de la tendance.*\n", + "\n", + "*Les Bandes de Bollinger reflètent la direction avec la SMA (Moyenne Mobile Simple) à 20 périodes et la volatilité avec les bandes supérieures/inférieures. Elles peuvent donc être utilisées pour déterminer si les prix sont relativement élevés ou bas. Selon Bollinger, les bandes devraient contenir 88-89% d'action sur les prix, ce qui rend significatif un mouvement en dehors des bandes. Techniquement, les prix sont relativement élevés lorsqu'ils se situent au-dessus de la bande supérieure et relativement bas lorsqu'ils se situent en dessous de la bande inférieure. Cependant, un niveau relativement élevé ne doit pas être considéré comme une baisse ou un signal de vente. De même, un cours relativement bas ne doit pas être considéré comme haussier ou comme un signal d'achat. Les prix sont élevés ou bas pour une raison. Comme pour les autres indicateurs, les bandes de Bollinger ne sont pas destinées à être utilisées comme un outil autonome.*" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "" + ] + }, + "metadata": {}, + "execution_count": 9 + }, + { + "output_type": "display_data", + "data": { + "text/plain": "
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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ], + "source": [ + "df['Close: 30 Day Mean'] = df['Close'].rolling(window=20).mean()\n", + "df['Upper'] = df['Close: 30 Day Mean'] + 2*df['Close'].rolling(window=20).std()\n", + "df['Lower'] = df['Close: 30 Day Mean'] - 2*df['Close'].rolling(window=20).std()\n", + "df[['Close','Close: 30 Day Mean','Upper','Lower']].plot(figsize=(16,6))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Pour les opérations d'expansion, il n'est pas très utile de visualiser cela par rapport aux données quotidiennes, mais c'est plutôt un bon moyen d'avoir une idée de la \"stabilité\" d'un titre. Cette idée de stabilité et de volatilité est quelque chose que nous allons explorer en profondeur dans le prochain projet, alors c'est parti !" + ] + } + ], + "metadata": { + "anaconda-cloud": {}, + "kernelspec": { + "name": "python3", + "display_name": "Python 3.7.9 64-bit ('pyfinance': conda)", + "metadata": { + "interpreter": { + "hash": "e89404a230d8800c54ad520c7b67d1bd9bb833a07b37dd3e521a178a3dc34904" + } + } + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.7.9-final" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} \ No newline at end of file diff --git a/06-Pandas-avec-Time-Series/time_data/walmart_stock.csv b/06-Pandas-avec-Time-Series/time_data/walmart_stock.csv new file mode 100644 index 0000000..7d29a45 --- /dev/null +++ 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b/07-Projet-Analyse-Boursière/.ipynb_checkpoints/Projet Analyse Boursière SOLUTIONS-checkpoint.ipynb new file mode 100644 index 0000000..6f9510f --- /dev/null +++ b/07-Projet-Analyse-Boursière/.ipynb_checkpoints/Projet Analyse Boursière SOLUTIONS-checkpoint.ipynb @@ -0,0 +1,2010 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "___\n", + "\n", + " \n", + "___\n", + "
*Copyright Pierian Data 2017*
\n", + "
*For more information, visit us at www.pieriandata.com*
" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Stock Market Analysis Project\n", + "\n", + "### Please Note: You are free to treat this as a full exercise, or just view the solutions video as a code along project. This project is meant to be pretty challenging as it will introduce a few new concepts through some hints!\n", + "\n", + "Welcome to your first capstone project! This project is meant to cap off the first half of the course, which mainly dealt with learning the libraries that we use in this course, the second half of the course will deal a lot more with quantitative trading techniques and platforms.\n", + "\n", + "We'll be analyzing stock data related to a few car companies, from Jan 1 2012 to Jan 1 2017. Keep in mind that this project is mainly just to practice your skills with matplotlib, pandas, and numpy. Don't infer financial trading advice from the analysis we do here!\n", + "\n", + "### Part 0: Import\n", + "\n", + "** Import the various libraries you will need-you can always just come back up here or import as you go along :) **" + ] + }, + { + "cell_type": "code", + "execution_count": 79, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "____\n", + "## Part 1: Getting the Data\n", + "\n", + "### Tesla Stock (Ticker: TSLA on the NASDAQ)\n", + "\n", + "** *Note! Not everyone will be working on a computer that will give them open access to download the stock information using pandas_datareader (firewalls, admin permissions, etc...). Because of this, the csv file for the Tesla is provided in a data folder inside this folder. It is called Tesla_Stock.csv. Feel free to just use this with read_csv! **\n", + "\n", + "** Use pandas_datareader to obtain the historical stock information for Tesla from Jan 1, 2012 to Jan 1, 2017.**\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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OpenHighLowCloseVolume
Date
2012-01-0328.9429.5027.6528.08928052
2012-01-0428.2128.6727.5027.71630036
2012-01-0527.7627.9326.8527.121005432
2012-01-0627.2027.7926.4126.89687081
2012-01-0927.0027.4926.1227.25896951
\n", + "
" + ], + "text/plain": [ + " Open High Low Close Volume\n", + "Date \n", + "2012-01-03 28.94 29.50 27.65 28.08 928052\n", + "2012-01-04 28.21 28.67 27.50 27.71 630036\n", + "2012-01-05 27.76 27.93 26.85 27.12 1005432\n", + "2012-01-06 27.20 27.79 26.41 26.89 687081\n", + "2012-01-09 27.00 27.49 26.12 27.25 896951" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Other Car Companies\n", + "\n", + "** Repeat the same steps to grab data for Ford and GM (General Motors), **" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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OpenHighLowCloseVolume
Date
2012-01-0311.0011.2510.9911.1345709811
2012-01-0411.1511.5311.0711.3079725188
2012-01-0511.3311.6311.2411.5967877467
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2012-01-0911.8311.9511.7011.8053981467
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" + ], + "text/plain": [ + " Open High Low Close Volume\n", + "Date \n", + "2012-01-03 11.00 11.25 10.99 11.13 45709811\n", + "2012-01-04 11.15 11.53 11.07 11.30 79725188\n", + "2012-01-05 11.33 11.63 11.24 11.59 67877467\n", + "2012-01-06 11.74 11.80 11.52 11.71 59840605\n", + "2012-01-09 11.83 11.95 11.70 11.80 53981467" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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OpenHighLowCloseVolume
Date
2012-01-0320.8321.1820.7521.059321420
2012-01-0421.0521.3720.7521.157856752
2012-01-0521.1022.2920.9622.1717884040
2012-01-0622.2623.0322.2422.9218234608
2012-01-0923.2023.4322.7022.8412091714
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" + ], + "text/plain": [ + " Open High Low Close Volume\n", + "Date \n", + "2012-01-03 20.83 21.18 20.75 21.05 9321420\n", + "2012-01-04 21.05 21.37 20.75 21.15 7856752\n", + "2012-01-05 21.10 22.29 20.96 22.17 17884040\n", + "2012-01-06 22.26 23.03 22.24 22.92 18234608\n", + "2012-01-09 23.20 23.43 22.70 22.84 12091714" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Part 2: Visualizing the Data\n", + "\n", + "** Time to visualize the data. **\n", + "\n", + "** Follow along and recreate the plots below according to the instructions and explanations. **" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "____\n", + "\n", + "** Recreate this linear plot of all the stocks' Open price ! Hint: For the legend, use label parameter and plt.legend()**" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# Code Here" + ] + }, + { + "cell_type": "code", + "execution_count": 51, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 51, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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Xwa95/TT3SA2TFk3KBQB0uimLSgiJDgWohBBCyDhX3eSEJyDijAj7TwHAIJdoCsFgxNsJ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\nZ4gTcl4OpIBVBEfevu7uv8jd1s0MquV4qJajpTqOj2o5Wqrle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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "____" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "** Plot the Volume of stock traded each day.**" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 14, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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SVQ6OKc2y0VG7voJSDmjIkD8lDDdDEAH7C1A826e367hvHaflG5bnvSqlV7d1\nffv+b2u6Pp33qoyMKJnSb0p6bZe/nyzpN5r/nSXpvFhr0ON8F7xw5yI+urLc5Q4GiWlfPLltOlGd\nmP/HPhbNxR6AomJeW6B4Vm1cpRlvRl9f/fW8V6X0rlp7lT63/HO6YNUFea/KyOgZlFprb5G0pctD\n3iDpItvwM0n7GmMOiboCccp3yZRGV5Zt1TKmNOVA3C1r4djCeX/rK8DkWg8ZIshALP4QZPYXoCiY\nN7g4ds3ukiTtnNmZ85qMjiTGlB4q6YnAz+uav4vEzp35OgoGGmXJ/g2idI2OMgy+3bIWVucHpf1s\nby72ABQVNzGA4uL6IX8cG5OXaaMjY8xZxpgVxpgVGzdulBTvQy1L9m8QpZsSJsMxpe71F40tmvc3\nGh1hWLDfIQr/BifzlQKFwRRNGGVJBKXrJT0n8PNhzd/NY629wFp7vLX2+IMOOqjxuxhTwnBXojf/\nQsIrx4VElkGpC/Q7jSntZ99kf0amKMdEDEwhBBQX1w/541yavCSC0qskndHswvu7krZba59K4HUl\nMaa0X2XZVnk0Ouo0prQfHNAAFBXdd4HiIVNaHO7GAJ9JcsZ6PcAY8++STpR0oDFmnaRzJI1LkrX2\nfEnXSnqdpIck7ZH0jjgr0Cu7VZR5SmfqMxqrjKlicp/atSv3JSnNmNJAo6O07xy6rGzHTCnluyg4\nxggijrKdS4BhwvVD/vgMkhel++5brbWHWGvHrbWHWWu/bq09vxmQqtl192xr7ZHW2mXW2hVxVqDX\nBVLw73lm/4779nE6945zc1t+VO5LUrO1Ho8cDcH3mVmmtNnoaL+F+80tu58LfY5nAAqKTClQQCTl\nBvLEjif059f+uXbM7Bj4tTg2Ji/3tF+vE1+RxpRe8dAVuS4/jrLc3c50Shg3pnSskSk9aPFB/t/6\nOTiV5TNCMeR9/MRwcfsLF15A8fC97M+arWu0auMqPbHzid4P7oWPIHGFCUqj/L0s4ySTUJaAp27r\nfj1/2hfdbpsuHlssSXrW4mf5f+ur0RFHNAAF1Wu6NgDZY/ziYNxxbbY+m9hrITm5B6W9PtMijCkd\npgyDPyWMV44AvubVNF4Zl5T+AcKNKT3u2cfpw8d/WK/4tVf4f2NMKYYF+x2iKNuc18BQ4TDeF3eN\nHJy5YdDXKotlFy5LfRhj7kFpnClh8sqUDtNFXNkuJOq2rvFqIyhN8z3/8/J/1ln/eZYkabw6rjNe\neIZfxis2F/EYAAAgAElEQVQxJQyKj0ZHiIUphACMGD9T6pEp7cflD16e6usXPygN/D2vi6lhCvDc\n9ipLqXPdq2eSKV2/a73W72pMv1s1VUnSWGWueXUZD04ARheNjoDiMYby3UEQlBZb7kFpnClhyJT2\nFmxOUYaMSN3W/eAwzfcb3E+TCkqHab/C8CPIQBz+uaQE5xFg2HAc71Nzs1G+W0y5B6W9SsqCv2dM\naTxlyJbOerOZZEqDr+0HpSYQlFK+ixJ7cteTOveOcxO5+4xi8NQ433LxCxQHjY4Gk0amlOx1cnIP\nSns2OmJMad+Gqey4X3U7V76b5vsN7ocV0/jatGRK6b6LonNjBFO4GfKzp36myx+8XBt2bUj8tZGP\nuJnS6x65Th+55SNprhKAJq4f+kOjo2Ib6/2QdMUZU5pXkDVMwV1we9W8mhZUF+S4Numre9mV7z5r\n8bN04KIDdeS+R0qifBdwpuvTkuayaxgdUc9/K59ZqZueuCndlQFKjkzpYBhTWmz5B6U9JuguQlA6\nTHdDilDunKW6rWtRZZGk9Mt3D1p0kC7940v93w3c6Gh4diuMkDS+JzP1GUnlOOaURdz9xMr6+wGA\ndA3TdWmRuOMamdJiyr18N86UMLkFpUMUPRShMVSWal7NDw7TLt91ZbsO5bsYJmnub1O1qcYyOEmP\njF43jDs9vm7riVzsAUAa3HGNTGk8WZ3bcw9KXSARpSQhtzGlQ3qhVYasRXBMaZoHCM968waztzQ6\n6qd8d0j3K5TM0/dLj/2060P88t0SHHPKIu6c1+7xZEuB9NCALBncPIsnq3N77uW7TpHLd4dpnFQR\nGkNlqe7V/XGzqWZKZefdOAlmSvt9TSArvTqdhzrvZY3/P3d76EP88t0hOlaiu7hTCLn9aqY+o8Xj\ni1NbL6DMuJk9GHedmEimtESfRVbn9twzpb1OeMFAgzGlvRUhiM9SzdbmMqUpfk6dynfdcqX+tnUZ\nPh+Ug8uUDtOxEt3F7b7rZ0o9MqVAWpg/eDCJjiktU2Iho7eaf1Da44tVtjGSSSpD0FP3AlPCpHgn\nx5PXNVPKCQJFF3eMYByU746euMc0t1+5fQFA8kYtENo5s1N/85O/0ebJzZksjzGl/SldpjT0ww38\nmilh4ilDEF/zahqvZpMpnTemlClhAElMCTOKYo8pDZTvAkjHsF6Phrn8V5frxsdv1Dfu/Uamy02y\n+24ZpunJar/LPyiNkSml+25vLd2KvdE6eHVSt/VMuu961ptXvls11YFek+wq8pDqlDAlOOaURewx\npTQ6AlI3TNejUbjrqqyu7/15SuuDZ0rLpDTdd3spwpQww3RnKnjAqtnR7i7mpiDwy3dTbnRUEVPC\nYHj13egoAjKloyf2mFJL+S6QtjSHYeShWmnc3M+qss9tvySuj0flM4giq/eae1DaK5BgTGk8Rcgs\nZ8XtD5l037VW7RUancp3f/bUz/Tw9oejvyYwArJudLRh9wZ955ffyWRZZUemFCiOUQuEhjlTWqZr\nuKzea+5TwgxD991hCu7KNCWMe39ZNTrqlil1+8i7fvQuSdLqM1f3fM1RO7mg2NI8qWTd6Og9N7xH\nD217SK/+9VfrwEUHZrLMsombWXefPd13gfS479moBERuGFRmmVKRKe1H6RodRZFXkDWsX/5hCqb7\nUfeamdJKI1Oa55QwZTo4YbilcRz1x5RmdMzZNr0t0+WVUb9lgpTvAukZtWuNzDOllkxpP0ozprTX\nuJXgFzCvHWCYDgJlKnd2d7pc9908y3f7fk0gY2l8T/zy3YyOlWXodpi3frvv0kAESM/IjSl1mVIv\n2+tV5imNpzRBaS9FKEcdquAhOIXOiHfCdAexLBod9SrfpdERhkUSJ+N2zFM6euJ+lsxTCqRv1K4b\n3FR7mWdKk5indJhigwGVp3x3CKaEGaaOkmXKlM4bU5pyprS9fHfMME8phkfczFcceQWlZbooyFrc\n7rvusycoBdLjjykdkeuH3MaUkimNpTzzlPb4UFsypRmn9zutwzAZ9ayFO6hk0n1Xdl7JoGtlLvWZ\nKR3S/QrDLY2Tf9bdd913sUwXBVlzN2Oj3pT1u1omkIEA0NmoHfNcUJp5990kMqUj9lkUQe5BadQp\nYSqmktsOMEzBQ5kypS4odWW0ae4fnvX8MpOOf+8jmz5M+xVGRxo391yjo1E/5pSJG/4R+TjVfBiZ\nUiA9/vdxRC4fKpWcGh1RvhvLyGdKPevJs17kTGnVVPMbUzpE3/4ijMHNSqblu5pfvtv2gL5es3Se\nvl/a+XTea1FK7tiQ9PfEWpt5oyOkzx1fo36m7sYcQSmQnlELhFyvjqwzpZTvxjPyQekDWx7QF+/6\nYs/HuQ99rDKWW+OeYdrxWsbg0ugoMdbOL99t+TtjSqM572XSF1+U91qUWtI3q4LzUmY2ZIDmu6mL\ne3yi+y6QvmHqcRKFGwaVxLyhUSSZKR2VS7hHtj+ih7c/nPdqSMq5fPcHa38QudGRy5Su37VeH7/9\n45mOWxnWsZmjnil1B7EsxpT2Kt/tKygdsTuekdVnej+mD7P1Wa18ZmUqrz0K3D6a9HEhmBkb1mMl\n5nOfZeQpYei+C6RuVKeEIVOan8/+4rP69M8+3fUxI58plRpBReTy3UpVVlbLNyzXFQ9dofU712ex\nio11GNIdb9QvEF2mNKtGR93Kd5kSJn//suJfdPp1p+vBrQ/mvSqFlnimNHCTIesbLaW9sZMBv3w3\n5jYmKAXSM6rXDcM4ptStc7eExTCYqk1px8yOro/Jar/LNyj1arEzpW4nCJaMpa19HbdNbdOaLWsy\nW34cpR5TmmJZSxrlu0jWr7b+SpK0dWprzmtSTGlNCdOSKc2otMx9F0etlK1I4mZk3H5F910gPaOW\nbIhbkTEoMqXz1W1dU/Wpro8pRaa0buuRM6VjpjGm1D/xJThu5R9/9o86b+V5PdfBeesP3qpTrz41\nseUnqQjzumZlXvfdFLMmPct3mRImdy6TTaDSXdLdd6dr2ZfvZj3hehn58yFGPE65x5EpBdIzatcN\naQ0r6YXuu3M862mq1j0ozeq95huUevXomdJKepnSlRtX6u5n7g79e/tF7rpd67q+3papLTrjujP0\n9O7su4wGM3plyZSOVcZkZPIt36XRUe78uStH5ESRljTHlFK+Ozr8oDTicco9bialMeMA5r5nI3Ps\na76NYS7fHXZ1W+8dlJamfFfdS4TcDuTmKfWD0gRPfDWv1vXubtwv/yPbH9Hdz9ytNVujl/iu27lO\nVz50ZazldGJl/W5mo/KFCeMyPlVTVcVU0m901K18l0xp/pofD8F+iJRO/nk2OuKzTk/cKWEISoH0\n9bpuWL1xtT+UZRi4pE8a82d3kmT57qhcY3vWK0z57lgmSwkRqdFRYEqYulf3T5RJlgh51tNkbbLn\nOsR5PSleifFp156mzVObdcqRp3SfDzOCMTOmmmojnykNlu+mHZRaS6a06MxcVFpaG/dslGc9PXvJ\ns0Mfk8TJOCgYhGR9zBmVi4Iicp9l5O67lO8CqXNBXNj1w9uufZskafWZqzNbp0GkNX926PKUYKZ0\nRIYK1W1dk7XJRqVlyDC1UpT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/56wzpQ5BaTr6zZQuqDSO+8OSpQGGwenXna5Trz5VUiNJ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ZP63kuxjM9LzaAomAmuLb61KEoMXLgZnQQCKn2Cy3WPr4fHqP+GyYiS2HotXBMmM0cq0eSI2i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\nhgZNdV1D8+q2TazLW8dl317GK2NfYVR7I0e8uq4eHy8LtfWaZTsPYPWyMDQ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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "** Interesting, looks like Ford had a really big spike somewhere in late 2013. What was the date of this maximum trading volume for Ford?**\n", + "\n", + "**Bonus: What happened that day? **" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Timestamp('2013-12-18 00:00:00')" + ] + }, + "execution_count": 16, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "____" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "** The Open Price Time Series Visualization makes Tesla look like its always been much more valuable as a company than GM and Ford. But to really understand this we would need to look at the total market cap of the company, not just the stock price. Unfortunately our current data doesn't have that information of total units of stock present. But what we can do as a simple calcualtion to try to represent total money traded would be to multply the Volume column by the Open price. Remember that this still isn't the actual Market Cap, its just a visual representation of the total amount of money being traded around using the time series. (e.g. 100 units of stock at \\$10 each versus 100000 units of stock at $1 each)**" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "** Create a new column for each dataframe called \"Total Traded\" which is the Open Price multiplied by the Volume Traded.**" + ] + }, + { + "cell_type": "code", + "execution_count": 52, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# Code Here " + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "** Plot this \"Total Traded\" against the time index.**" + ] + }, + { + "cell_type": "code", + "execution_count": 53, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# Code here" + ] + }, + { + "cell_type": "code", + "execution_count": 58, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 58, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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7rgQyqigLpb+zx38/rWLp74a/MDklsnT9/RNJPyfpDmvtEyX9K0nfKHRUADCk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AAAAg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/4S7PfdTgLNLncBIgxj3z87blgxQdfSsepP+7Z/nba+eSzWeF9FcyelQ95CWJ894+z5wYMK4i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\n8HlFuuzkJEbSMyuObYVlLFy9m2i3A4dd8fsJXflk1U4KSqooKK1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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "** Interesting, looks like there was huge amount of money traded for Tesla somewhere in early 2014. What date was that and what happened? **" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Timestamp('2014-02-25 00:00:00')" + ] + }, + "execution_count": 21, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "____" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "** Let's practice plotting out some MA (Moving Averages). Plot out the MA50 and MA200 for GM. **" + ] + }, + { + "cell_type": "code", + "execution_count": 54, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# Code here" + ] + }, + { + "cell_type": "code", + "execution_count": 50, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 50, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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KYSWasfxwFy2jqiolVU66p9rolmplS3EVn60pYv6mEu6fNJC7zuoPQFmNiwPV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qb7nD4wsQdvzhrirB0UNE5qXBjltWav9WfPLT3AygOn/TupSgW9L5WdaGvLgjBKdyod4ieyuYsN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\nwBb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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "______" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "** Finally lets see if there is a relationship between these stocks, after all, they are all related to the car industry. We can see this easily through a scatter matrix plot. Import scatter_matrix from pandas.plotting and use it to create a scatter matrix plot of all the stocks'opening price. You may need to rearrange the columns into a new single dataframe. Hints and info can be found here: https://pandas.pydata.org/pandas-docs/stable/visualization.html#scatter-matrix-plot **" + ] + }, + { + "cell_type": "code", + "execution_count": 56, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 62, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 64, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 76, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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5CTOaRnKyyjlYJmz3HJCCslbz8JYhSFc1cVFRS4mGoGObZFXNLGq4NY3Y6jhK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CzSgjg3GEc5mVS8szclzAoEBu2TzPhhmFFzLWZJTq9uczxX5FJxs79AG5rAskkLyfXjOfuTBEto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WHE4TkqJEUGcsNlo2YVqgCPFQ3X/B84+UklGUYWgKnqmzN475fz845OZxxPWjWm5YUwWrLZuf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\nxHNT/LMJx4cyvK6pcXKyjKlrSmdBoVCsy6516K6lkaT5JKlKQfD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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "_____\n", + "### Bonus Visualization Task! (Note: This is hard!)\n", + "**Let's now create a candlestick chart! Watch the video if you get stuck on trying to recreate this visualization, there are quite a few steps involved!Refer to the video to understand how to interpret and read this chart. Hints: https://matplotlib.org/examples/pylab_examples/finance_demo.html**\n", + "\n", + "** Create a CandleStick chart for Ford in January 2012 (too many dates won't look good for a candlestick chart)**" + ] + }, + { + "cell_type": "code", + "execution_count": 89, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 124, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 125, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 126, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 127, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 128, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "____\n", + "# Part 3: Basic Financial Analysis\n", + "\n", + "Now it is time to focus on a few key financial calculations. This will serve as your transition to the second half of the course. All you need to do is follow along with the instructions, this will mainly be an exercise in converting a mathematical equation or concept into code using python and pandas, something we will do often when working with quantiative data! If you feel very lost in this section, don't worry! Just go to the solutions lecture and treat it as a code-along lecture, use whatever style of learning works best for you!\n", + "\n", + "Let's begin!\n", + "____" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Daily Percentage Change\n", + "First we will begin by calculating the daily percentage change. Daily percentage change is defined by the following formula:" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "$ r_t = \\frac{p_t}{p_{t-1}} -1$" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "This defines r_t (return at time t) as equal to the price at time t divided by the price at time t-1 (the previous day) minus 1. Basically this just informs you of your percent gain (or loss) if you bought the stock on day and then sold it the next day. While this isn't necessarily helpful for attempting to predict future values of the stock, its very helpful in analyzing the volatility of the stock. If daily returns have a wide distribution, the stock is more volatile from one day to the next. Let's calculate the percent returns and then plot them with a histogram, and decide which stock is the most stable!" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "** Create a new column for each dataframe called returns. This column will be calculated from the Close price column. There are two ways to do this, either a simple calculation using the .shift() method that follows the formula above, or you can also use pandas' built in pct_change method. **" + ] + }, + { + "cell_type": "code", + "execution_count": 133, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 134, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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2012-01-0927.0027.4926.1227.2589695124217677.000.013388
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OpenHighLowCloseVolumeTotal Tradedreturns
Date
2012-01-0328.9429.5027.6528.0892805226857824.88NaN
2012-01-0428.2128.6727.5027.7163003617773315.56-0.013177
2012-01-0527.7627.9326.8527.12100543227910792.32-0.021292
2012-01-0627.2027.7926.4126.8968708118688603.20-0.008481
2012-01-0927.0027.4926.1227.2589695124217677.000.013388
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" + ], + "text/plain": [ + " Open High Low Close Volume Total Traded returns\n", + "Date \n", + "2012-01-03 28.94 29.50 27.65 28.08 928052 26857824.88 NaN\n", + "2012-01-04 28.21 28.67 27.50 27.71 630036 17773315.56 -0.013177\n", + "2012-01-05 27.76 27.93 26.85 27.12 1005432 27910792.32 -0.021292\n", + "2012-01-06 27.20 27.79 26.41 26.89 687081 18688603.20 -0.008481\n", + "2012-01-09 27.00 27.49 26.12 27.25 896951 24217677.00 0.013388" + ] + }, + "execution_count": 136, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 137, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 138, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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OpenHighLowCloseVolumeTotal Tradedmpl_timereturns
Date
2012-01-0311.0011.2510.9911.13457098115.028079e+08NaNNaN
2012-01-0411.1511.5311.0711.30797251888.889358e+08NaN0.015274
2012-01-0511.3311.6311.2411.59678774677.690517e+08NaN0.025664
2012-01-0611.7411.8011.5211.71598406057.025287e+08NaN0.010354
2012-01-0911.8311.9511.7011.80539814676.386008e+08NaN0.007686
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" + ], + "text/plain": [ + " Open High Low Close Volume Total Traded mpl_time \\\n", + "Date \n", + "2012-01-03 11.00 11.25 10.99 11.13 45709811 5.028079e+08 NaN \n", + "2012-01-04 11.15 11.53 11.07 11.30 79725188 8.889358e+08 NaN \n", + "2012-01-05 11.33 11.63 11.24 11.59 67877467 7.690517e+08 NaN \n", + "2012-01-06 11.74 11.80 11.52 11.71 59840605 7.025287e+08 NaN \n", + "2012-01-09 11.83 11.95 11.70 11.80 53981467 6.386008e+08 NaN \n", + "\n", + " returns \n", + "Date \n", + "2012-01-03 NaN \n", + "2012-01-04 0.015274 \n", + "2012-01-05 0.025664 \n", + "2012-01-06 0.010354 \n", + "2012-01-09 0.007686 " + ] + }, + "execution_count": 138, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 139, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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OpenHighLowCloseVolumeTotal TradedMA50MA200returns
Date
2012-01-0320.8321.1820.7521.0593214201.941652e+08NaNNaNNaN
2012-01-0421.0521.3720.7521.1578567521.653846e+08NaNNaN0.004751
2012-01-0521.1022.2920.9622.17178840403.773532e+08NaNNaN0.048227
2012-01-0622.2623.0322.2422.92182346084.059024e+08NaNNaN0.033829
2012-01-0923.2023.4322.7022.84120917142.805278e+08NaNNaN-0.003490
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" + ], + "text/plain": [ + " Open High Low Close Volume Total Traded MA50 MA200 \\\n", + "Date \n", + "2012-01-03 20.83 21.18 20.75 21.05 9321420 1.941652e+08 NaN NaN \n", + "2012-01-04 21.05 21.37 20.75 21.15 7856752 1.653846e+08 NaN NaN \n", + "2012-01-05 21.10 22.29 20.96 22.17 17884040 3.773532e+08 NaN NaN \n", + "2012-01-06 22.26 23.03 22.24 22.92 18234608 4.059024e+08 NaN NaN \n", + "2012-01-09 23.20 23.43 22.70 22.84 12091714 2.805278e+08 NaN NaN \n", + "\n", + " returns \n", + "Date \n", + "2012-01-03 NaN \n", + "2012-01-04 0.004751 \n", + "2012-01-05 0.048227 \n", + "2012-01-06 0.033829 \n", + "2012-01-09 -0.003490 " + ] + }, + "execution_count": 139, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "** Now plot a histogram of each companies returns. Either do them separately, or stack them on top of each other. Which stock is the most \"volatile\"? (as judged by the variance in the daily returns we will discuss volatility in a lot more detail in future lectures.)**" + ] + }, + { + "cell_type": "code", + "execution_count": 141, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 141, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "** Try also plotting a KDE instead of histograms for another view point. Which stock has the widest plot? **" + ] + }, + { + "cell_type": "code", + "execution_count": 156, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 156, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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siS4dtGKt5enuIV65vHXSR9fOrydXsGw/OkhXZ7F/OlJdXIyYSPS5V7OIiIxr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\nuXgpRIvIReFUPMOf/8cTAHztxg0E/ZP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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "** Try also creating some box plots comparing the returns. **" + ] + }, + { + "cell_type": "code", + "execution_count": 205, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 205, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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ujYyM6MCBA3rttdeCLmlGoOUNYJwTg4kYVIRyGTtJC8qD8AZQct111+nKK69U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\nAADPEN4AAHiG8AYAwDOENwA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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Comparing Daily Returns between Stocks\n", + "\n", + "** Create a scatter matrix plot to see the correlation between each of the stocks daily returns. This helps answer the questions of how related the car companies are. Is Tesla begin treated more as a technology company rather than a car company by the market?**" + ] + }, + { + "cell_type": "code", + "execution_count": 219, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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kVhSVIq8k+2kJAjQdvnS2z2o75MpgxtY4Y29WMcoqHGGuv9IOyKuarf2c3/pw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h0qHs5HoA/mNsRppchLRS4NQttSgMEu/Idp98Orjr2aGBwHjIY3ro7wHKh8l/VuzFo75lQ/Jq81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\nPS3xXcF6O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4qrw5zlZsh6JyKvJHvTMftphSMcDCWt0CMJbmUbV9vR95w9XaT/Px6LYOAp\nIq8U14YZ46wmnPsK3KkV3m8EJL7D//3eHpf3M/pNn5dW27Qij0l+y7d8VkiSwGOQVuSVZk+XdpZ3\nkfpfsOBTj+sIXlxtorS55yZBKs2VgwylDaf7yW0TB8YYLu5bwbJ2bMuSShv2piX9hs93bky4MSwQ\nwpBWEo3m0n5G5Du8uNZ6nG9zwTEWwcBTxI1Rzrs3p3iu4CtneqzcZ+RHA5Nc4jkwSCt8VxC4Ds3Q\npRG6GDhyG8ur/5+9Nw+ybbvr+z6/PZ/59Nx3vu/dN0kPyUI8EckFZVnIEGxM4SJxiqJwHLsskkpk\nEiflEgng4g9cMolDEarisgoKEAQwSewY4wwgI0pCEtbwNICkp/fuu/e+O/d45j3vtfLH3n1ud9+p\n79j3dq9P1ak+Z+/d56zus/dev/Ubvr+yyU+aK4o9hAkMBsPhQERw7Bv3g0GYcXUQ0fAcmr5dCgtR\nig0d7dbKJEJdehWitAw/xplipuGyPipVDHOl8SqZYc8V3nNqlou9kCzXJLm6SVthFGe4tnVL13+h\nNAJmAfOQMMbAU0ShygkbpYnSskmIZ1ucnK3vuCAEoe7Z9EI41q6hNHz5Yo9xXHBspsaJ2TqqchEc\n6dRYrWKCxv1vMBhux1Z4chBlRFnOpV7IbN3jmYUGozjjwnrZffXkXJ2aZzGMck7O1ejUPJbbwXSS\nX6pyAZY7AYFrc6xbY2Oc0qm5OwyB9XHCtX5c6gLM1Klta5Y0TnIurE+wRHh2oWHyBB4Cxhh4ijja\nrZEVCseyKJQmyRRJppik+Q7FrrRQnJpr0G14pJWwxzeujmj4DhthQlRZ8Kfm67QDl2ee8Dpmg8Gw\n/8zUXaK0wLWFJFMcn6kRVKv8jXEyPW5tFBOlZZLxVi+B7ZP87qZsrcDdcf/aIquSm0dxzjevD2n6\nDmcWmtQ8m1FctigutCZMC2MMPATMLPAU0QpcXj7aQUQYhBmTNMS1LWq7LoR24LDQ8oizAkugVbM5\nPV+nH2X4tj3NG+hNUgRueSEannwOYuKg0R54slgZxoyTnKV2wFzTn1ZCnVufECbFNNN/pu6xOUmx\nq+TBy2kE8EBBx4Wmj9YgotFa0BqirKDm2cw2Sllm25LbaqIY7g1jDDxlbFnYnbpLKyilhXdLEYsI\nDd8hcG0CbGyxeOX0LMM4I80Ur10v8w4KpRhGOYtt/7Za50le4FjWTYmKBoPhYJPkBavDcsV/fRBX\npXvlfeDMQnNHifLaOCHOFCJwbMbmxGwZnnyQMmrHtjjarU17slgidKuJ33dsnltsTpUMrw1ibEt4\ndr5p9ATuE2MMPMXcKXHGd+xpFu/UMHBtzq6OWGoHRFmO0mDDVJp4NxvjhKv98iJ7fqlpcgoMhkOE\na1l4jkWaKxr+zW747QuErXuI1pTKpnvQBtjzOGyLU3M3CwkppTm7NuZqL0KjmW8GjJOcWefJV218\nEjHGwAHFcyxeWGpSaI3v3LiQ5xo+1/KY5XaNmmeT5LfvgBamZbZwoTRxVhhjwGA4RFhVeWFaqLvG\n5Jc7ASKVEuBjykHKq7ypZuCwOUkJXGtPaoWGW/PY/3Mi0gJ+C5gF/rnW+uO79n8A+DkgBn5Ma31Z\nRH4NeBsQAR/TWv+WiBwFfhMIgJ+pWh8btuHY1k1f8EzDm5YV3o2Flk9WKHzXNt0KDYZDiGXJjoY/\nt8O1LY7PPN5OgJ5jsdT2GSU5Lx1pm3vUA7If/72/B/xO9fikiPyO1jrdtv+nge8F3g78JPBfVtt/\nVGt9dttxH6mO/Srw+4AxBirGSc6VXkTglmWHt+rtvRcC1+bZhf3XSDccTkwy4b1zuRcyTnKOtGt0\n6gc/sW6xHbC434M4IOyH3/e9wB9qrQvKifylrR0iUgcirfVIa/3vgZerXRr4uIj8GxE5VW17B/BZ\nrfUYGIlI+/H9CftDlBZcH8RElfv+dmyME9K8TA4M73Ks4cnn9Ef+7fRhMNyONFf0JhlZrlkbx4/1\ns8t+KTFK6cf6uYaHx34YA11gWD0fVK9vtQ/K/DaA/1Zr/ReBfwL80619Wm8Vyd30PgCIyIdE5Isi\n8sW1tbWHNf5948LGhLVRwoWNyW2PyQvF+rg8RqFN/a3BcEhwbaFeJfq1H2O53SDKuNqPWRkkrG/T\nG7gXJknON68NObs6pjAGxb7wyMIEIrJMGQrYznXKibtNmRPQBvrb9m/t26IA0FpvVj//REQ+Wu3b\nngK/+32ojv8Y8DGAV1555ak/w2xLyAuNdQe3/yQp8Gybk7N15pu+KQk0PBUYr8eDI1K2JldKP1aJ\n3u33mPsNSW5OUvJCkxcF4yQ32gH7wCMzBrTW14H3794uIv8A+B4R+V3gXcBr235nIiI1EWlS5gx8\no/qdttZ6KCIvcmPS/5qIvA/4GtDWWg854JyeazBO8jsmytR9G02p2W0uKIPh8PG4tfqbvsPp+TqF\n0rQDlzgr8B3rngyDbt1lEGV4jkXDdB/cF/YjgfCXKasJPkxZGZCKyLuA79Ba/wplJcEfUnoO/tPq\nd/43EZmhzB34L6ptPw98HKgB/+gxjn/f8BzrrjW0gyhDEGxb8I34hsFgeAxsqZieXR0TpQWdmsvJ\nub1XF7QCl2871nlUwzPsgcduDFQr+B/Yte0rwFeq559gV2WA1vqv3+J9LgMfeHQjfTqJtmkDJLky\n2gAHDONONzypaK2n959J1Q3V8PRgCjMPGAstn1xp/KqBiOHpwZTSGZ5mRISj3YBBlDHX9Pd7OIZ7\nxMwWB4zAtXlmfqd0Z14oVkcJnmMxby7SpwLjATA8jcw1fZSGMC1zm0wC89ODMQYOASujhM1xqesU\nGDVBw1OO8aA8uQzjjOuDGxoHRzq1fRyN4V4ws8JTQm+SVu43755bDruVdS4CjrHUnyiMB8DwpJDk\npaiZ79gsd27dr+RubL+/OJbJV3qaMMbAU4BSmiv9CK0hyRUvLt+bMbDYDgg8G9eyjAiRwWC4JavD\nhGGUAznNwLkvD2Ldc3husUmmFO17XLQY9hdjDDwFWFZZJhhnisC9P2vbXJiGg8itPCu3Cx2Y8MKd\nKRcKGZYF3gNUIdU8mxpm0fG0YYyBp4RnF5rEWUHdCHI8kexlojGT0eNhL6EX813czELLp+k7OLaY\nkuRDiDEGnhJsSx5bn3DDg3Gvk5Hh7jyu/9fW5+zFQLgXg+J243/SDJGaWWwcWuRGr5+Dzfz8vD59\n+vR+D8NwgLhw4QLmnDI8TMw5ZXiYfOlLX9Ja6z25eQ7NUvP06dN88Ytf3O9hGA4Qr7zyijmnDA8V\nc04ZHiYi8upejz00xoDh7uSF4nIvQgPHZ2ombmgwPCK2X2snZmo45loz7DP7cgaKyC+IyKdF5Bd3\nbT8qIn8kIp8VkQ9W2z4iIn9cPSYiMisi7xeRt6ptH9+Pv+Eg0gszRnHOOM7phel+D8dgOLBsv9Y2\nzbVmeAJ47MaAiLwbaGqtvxvwROQ923Z/BPhp4HuBnwLQWn9Ua/1+4D8CvqC13qyO/Q2t9fu11n/r\n8Y3+YNPwbURKcaKGZ5xGBsOjwlxrhieN/fAMvJeyRTGU3Qnft23fO4DPaq3HwEhE2tv2/SDwe9te\n/0jlXfiRRzraQ0Tdc3hpucVLyy1TuWAwPELMtWZ40tgPY6ALDKvng+r1Fra+Ud6we9/fAP5V9fyL\nwEvAfwj8fRFZuNUHiciHROSLIvLFtbW1hzX+A41jWyZ+aTA8Bsy1ZniS2A+TdABsrfjbQH/bPrXt\n+XSfiLSAea31eYDKcwCQicingOeBm2Z7rfXHgI8BvPLKK4ejhtJgMBgOOEY06uGzH2bp54DvqZ5/\nEPjTbfu+JiLvE5EG0NZab3kQvh/4f7YO2gofiIgNvAe48KgHbTAYDAbDQeWxGwNa61eBWEQ+DRRa\n68+LyC9Vu38e+DnKXIJ/vO3X/gbwL7e9/psi8nngM8C/1lpffQxDNxgMBoPhQLIvmSta65/Y9frD\n1c/LwAducfyP7Hr9y8AvP8oxGgwGg8FwWDDZKwaDwWAwHHKMMWAwGAwGwyHHGAMGg8FgMBxyjDFg\nMBgMBsMhxxgDBoPBYDAccowxYDAYDAbDIccYAwaDwWAwHHKMMWAwGAwGwyHHGAMGg8FgMBxyjDFg\nMBgMBsMhxxgDBoPBYDAccowxYDAYDAbDIccYAwaDwWAwHHL2xRgQkV8QkU+LyC/u2n5URP5IRD4r\nIh+stv1tEfmWiPyxiPx8tc0Rkd8QkT8RkY/sx99gMBgMBsNB4bEbAyLybqCptf5uwBOR92zb/RHg\np4HvBX5q2/b/UWv9fq31P6xe/yDwmtb6u4DvEpHlxzF2g8FgMBgOIvvhGXgv8IfV808A79u27x3A\nZ7XWY2AkIu1q+38tIp8Ske+5xXt8EvjORzxmg8FgMBgOLPthDHSBYfV8UL3ewtZa6137/i/gncAP\nA/+TiNh3eY8pIvIhEfmiiHxxbW3t4f4VBoPBYDAcEPbDGBgAWyv+NtDftk9te94G+lrrvtZaaa3X\ngNeBpbu8xxSt9ce01q9orV9ZWFh4mH+DwWAwGAwHhv0wBj4HbLn7Pwj86bZ9XxOR94lIA2hrrYdb\noQIRqQHPA2u73uMvA194LCN/QulNUv78yoBza2NuOFbuzCTJSXN11+NWhzFnV0cMouxBh2l4ilip\nvvdhfG/f+63OqyQveO36kG9cHRKlxcMcpsFgeEg8dmNAa/0qEIvIp4FCa/15EfmlavfPAz9HmUvw\nj6tt/42IfA74Y+CjWusM+DfAt4nInwCf01pfe6x/xBNGL0zRGiZJQbKXCX4Uc25twusrI5L89jfn\nvFCsDBOiVLEyjB/mkA1PMFmhWN363gd7/95XhuV59cbqiKy4cR6O4pws1xRK37NxYTAYHg/Ofnyo\n1vondr3+cPXzMvCBXft+FvjZXdsy4Ecf8TCfGmYbHlEW0fAcfOfu9l2SlTdqrSErNP6us2CS5Li2\nhWsLNc8mSguauw8yHFgcS6h5FlGqaAZ7/963ziulSoPCtctzsR24bLopSms6NfeRjPlxkxWKJFfm\nujAcGMyZfADo1j26dW/Pxy+1AwB8x7rpZrYyjFkdJlgWPL/Y4sxCg6zQeHswMgwHAxHhzELznr/3\npY6PCPiuRd27cV55jsULS61HMdR9IS8Ub6yMKZRmvuVxpFPb7yEZDA+MMQYOIZ5jcWK2fst921d3\nuVJ4joPnyOMcnuEJQETu+Xv3Hfu259VBIldlyAMgzu4eljMYngaMMWDYwe7V3TjJcSwhcO39Hprh\nEJLmiiQvw1QiT4ZRGrg2R7oBYVKw2Pb3eziHntMf+bfT5xc++tf2cSRPN8YYeEq5tBkSZQVHu7V7\nilumucK15bY31u2ru/VxwrV+jAg8t9g0BoHhJrTWjyyMlBeKs6ulO3626XGse//u+JVhzCDKWGz5\n9xRSux3zTR+aD/w2BsMTgzEGnkKitKAfllnZa6Nkz8bA1X7Exjil5tmcWWjccaUVZwVnV0aM04LF\nlk+SF9iWTJPCtkhzxbVBhGNbHO0ET8zqzfB4uLARMo5zunV3akQqpbnSj8iV5li3dldDQevS7b4x\nSQnTguV2QM2zKfQNd3yS3X9JYqE0q8MEgJVh8lCMAYPhoGGMgacQ37HwXYskU7TuIdt7nORAaUwU\nSuPYNybuYZyRZIq5hodlCWujhMB1mCQFDc9mbZQQpRGLbX+agAhlmeIwKt+3FTi0g4ORLW64O1pr\nxnH53Y+qn1CeS1vG6vo44egdVvSF0pxdHTOKM+KsoFPzeDMZsdSuMdvwODZTY5LkLLTu3x1vW0LD\nt5kkxT1dLwbDYcJcGU8hliU8v9isJvR7yPZuB6yNYlqBi2NbaK0REeKs4K31EIC0UBzr1mj4Dv0w\n40i3xlK7xvn1CQDDKGOpHaC1Lm/4lcaRCHsqazQcHESE5U5AP0xLt3lF4NpYVpmEKpSiWN26e0uv\nUZIXpLnCsSySPCMtCkZRjtbleXlits5s48FX8s8uNMkLdU/Xi8FwmDDGwFOKiOxY2d+KJC8YRjnt\nmoPv2HRqLg3PJs4V59bGTJKC5U5A3bMJ03xHTsBsw6PpO9iWYFvCfMtjHOcsVl6B68OY9VGKCJyc\nrVH3nZtCCIaDz0LL37FqV0ozSXKOdgJc2+LCRojWEGYFx7o1xkmOZ1vT0EHNtenWXZK84Jn5GcZp\njiXJA40pTHPOr0+wLeHZ+eb0s4whYDDcHmMMHGDOr0/Ics3mxOLF5RZKac6ujYnSgvVxynK7XNX1\nwnKBX2jNkW0hAM8pvQdxVsZxpXPD+KhCuWgNrmPd0hB4a2PCKM5Z7gQ7Vo57JUzzKh7tGZ2Dp4Tr\nw5iNcQrA8ZkaW+rYSmmuD2LWRqWGReCWYlZL7WCaa7A6itkcZ+RKM9twcCwhSgtq3t4TV+OsoDdJ\nUar8zHGSM+uYHAGD4W4YY+AAsuX+V9WdWFe+fKX1VBY2yQqU1sw2PK4NYhqeg+sIlrXT23BxM2QY\n5dR9mzMLN9Knl9sBjiX4zk6BmS3SXE1zCXqT9J6NgUJpzq1N0BpGSb7jsw2Pj61z6U4opW86b6Cc\n8E/O1onzgrmGx5V+BECWa6I0xXdsemE69SyMopxemFL3bAZhhoiwGaa8/Uh7T4mpWwmyiMaxLFxH\nTI7AAWJ7CaHh4XPXK0VEfgL4VWAE/DLw7cBHtNZ/8IjHZrgDcVYwSXI6tRvx/6uDmNVBjNLliqjh\nOzR9h9NzDaB0kx7tBvzpuQ2iLKcfprzjWAfHthiEGbPNcgWVFYpzaxOyQhHnBb5t39RgxrZkRyLh\nbjzHolNzGcbZfcV8hTIPQevyueHxkheKN6tz4ORc/baJoVvhpq3E0uV2gGMLvmNT88pHh/J3lzsB\nliQErk2cFQyiFFuEcZLT9B36UcqbayManstfONElzRWyh29/y+PQj1K6NQ+0cGapeUtv0vo4YRyX\nCYkNIyVsMEzZy9Xwd7TWvygi3wfMAD8G/AZgjIF9QinNm2tjlIJBlPHsQpNBlLE5TrnSj3BtIUwV\nnZrLJM25tFkmBzq2xXzTw3cs0txmnBREWUGn5u7QjA+TgtVRTJIrllo+dd9m5j7KsU7O3b8anVXF\ne8dJWbZmeLxM0mLafXAQZrc0BrJCMUlKI3FQJZZalrDYCpgkZdy+6TulFoHSLLX8HQqF3tBidZhw\nfm3CmcUGk6SgW/OraoSExXbAkU7trl6BXliGJTzbou5ZtGruLQ2BrFBcDOpimwAAIABJREFU65eN\nl3KleG7x4EgkGwwPyl6Mga0r8a8Cv6G1/rqYYvJ9ZxqLrX4Gro0IdBseni3MNoWa59APUyZJwesr\nI2YaHptjl5ePdXhjZcxcwyNKC758sUen5vJtxzqIlAmDozinKDRe1943F/3WytLw+Gn5Dg3fJis0\nc81bG4KubTHX9BjGGQu7wkDXBhFRqrg+iAkcC8e2sIQdOv75ts6Gq8OETs0hSnO0LhNeC8VNQlfj\nJCfJCmbq3jQ0Md/0WRslnJit37GM0RbBcyzSXD1WAa0kL6bVOKfnGka8y/BEshdj4Esi8gfAM8BP\nikgLMILc+4hlCc/MN3asmgPX5oWlFkrrHTebtzYmDMKMXCnGcU6aF3iOzXzTY7bh8ak3Vvnm1RGu\nY+HYQt1zmKRlNrhtWbTrxpV6GLEs4dltRmCaFXz5ch9bhJeOtKdCV0e7NZZVwPo44ezqiJm6x1zT\np+Y5RGkZ/99aOmwlmWqteXNtUnbHdISZmsf6OMUSi2fm6lwdJqyN0mnlyhZJXnBhvcwjibKC4zOl\nl2F3RcOd/qbnFpskeXHLPJdHxTAqWzhDqcFgjAHDk8heroi/C7wLOKe1DkVkDvjPHuRDReQXgFeA\nV7e3MxaRo8BvAgHwM1rrT4jIh4C/Ux3yv2itf0tE3g/8OnAeuKi1/lsPMp6nkYbv3BTz3HKNro0S\nzq2NGUY5p+frnFls0gtT1selwts3rg3oTVKWOzUubUSsjWMavsPqIKYABmHOYtvj5EydLNeEaX5P\nN8/VUUyYlJniZmV/MDi3MeFqr3SxzzQ8mgtNVgYRl3oR65OEtWHKkU7AOT3h2YUm7ZrD9X7Euc0x\nJ7o13vPM3DSJNM4KBmGG51h4tsV8y2czLCsAUlXmioyTjGGccZQbK32tb3jEtn7eK7Ylj9UQgFKM\na2NSWkRGlOvxYPoV3Dt3vSq01kpEVoC3i8gDX0Ui8m6gqbX+bhH5ZyLyHq31F6rdHwF+Gvgq8PvA\nJ4A/0Fp/TERc4E+B36qO/Q2t9U896HgOEkppvnFtyOsrIy5uTGj4DuuTmOODGhc3y5VYt+YxSnIG\nUcZsw8d3LZq+jWNZiCVElZLcJC74xtUhGkEsODFTQ2lYbPksVqJDwyjHd60dK504K1gZlHXiSkfT\n1aWq4hm3yjo3PPnUXBvftcgLTbfmMk5yzq2FvLUx5pvXR6CFjXHMmYUWX77YY2UYEaYFg7BcFQeu\nQ7sW0qm7XFibcLEXcqxb490nZwiTnOcWmmSqVDT8ysUelgj9KhcAypBC4Nqcmq8TZwVzjZs9AUpp\nzq1PSrGimTqdJyTXJHBtXlpu7/cwDIY7spdqgn8C/CfAN4CtlHINfOo+P/O9wB9Wzz8BvA/YMgbe\nAfyE1lqLyEhE2lrrC9W+vHps8SMi8peA/1Vr/dv3OZYDRZQVZLnCAiwpywTTTBOlBWfXxgSOg2NZ\npIXCsYRBlDJbd0mLGt26R5QqvuPUDJc2Qr5xbcjaKGEY57xUaRQcn6nTCzMW2wFX+hG9SYYIvLjc\nmrqAXbsMN+SFnnoForTgzbUxIvDsfNN4C55Cjs/UqXk2gWvTDkqRoEGUcm0Yk6uCuUaNpbZP3be4\n3A9xLZsky7CsssR1dRgzqEoHN8OUTuCxMUn55Gur1H2bbzvWYbbu8SdvrPFWL2Su7hFnCqUU5zfC\naYfApXZw29V1lBXTqpdemD4xxoDB8DSwl5X+DwEvaq0fTBbsBl3gXPV8ALy8bZ+t9dQBOKiOHVav\n/3PgX1fPvwi8BHjAJ0TkE1rrtd0fVIUYPgRw8uTJhzT8vZEVZYy+GTwcZb5hnDGMMuab/m1jjjXX\nplv1FphveqxNUmquTc1z0JX71bHLlfyVXsQozsnbATXXIk4L4jxnkhRMspwvX+oTZTlH2jUCz2am\n4WFZTJPJCqUplGKSFsRpgVsr/0a7kkrOthkDoySbunjHSW6MgScQrTWDKJuWBN6KQpUCVO3AZXOS\ncmE9JHAdnl1ocWa+yXzLZ6bu8s1rI4ZxxpGuRyfw0BpadZfVQYJleYDmUm/CYstjZVSKUg3jnM1x\nytV+TJwWNGccAtfmK5f6XO3HHJ+pT6Wwb8eW92JtlLDcKT0HYZrTCzO6NZe6Z5MWCt8x55/BsJu9\nGAPnABd4WMbAANjymbWB/rZ92xMTp/tE5D+grGb4IQCt9bg6JhORTwHPAzcZA1rrjwEfA3jllVfu\nM8p4f5xfn5BkCt+1eGHpwUqYCqW5WMm6RmnB87d5v63EQoD/+8+ugRbiVHFy1uOlI23WRglpnvOt\ntZCvXRmw1PbRWvPSkRavXR/jORZ/cnaN82sT1kcxdc/mzGKDF5aaPLfY2mGEHOnUuNqPEOByP+Kl\n4Ea/ece22H6/7dY8hlFeVjuY1doTyXZ56eeXmsSpIikK5hs+liWsjsr9ULq9V4cJBYrBJCuz+Gdq\nnJyp8fkLPWqujdKa64OU82sRDc9muVtjoR3QcC0ank3Dc/FsIS0iPBtm6g79SWkonpqt87ajLRqe\nyyjOGSUZG5OEZ+ZnAdgYJ1wbxLQCh5Oz9el5txWCagcu6+OUhVbAhfWQQmkGYUbdsxnFpTbHg5S9\nGgwHkb0YAyHwFRH5d2wzCLTWf/8+P/NzwI8Dvwt8EPi1bfu+JiLvA74GtLXWQxE5BvxT4Ae11gVA\nFT4YiogNvAf4xfscyyMjL/SOnw+CJeWKOy/0nr0Miy2fK/2IhabPYsvHtS1EoB/lnN8MmSQFV3ox\nx2cCLvfisluhlEmIhSp71LfrPt9+YnZHGGALz7GYa/okmZq2mb0dnmPx3KJREHyS2TpPtYZxnHN1\nqx6/0Bzt1nZ8/44lzDU93nVihjdWx7x8pE2SqanWxcowJs4UlpQeB8eyWGr7ZfhIazZGCTXPIdew\n2AwYxDmffn2DduDw0nKLozMBZxZahGnOZ89uMFP3S4+YV46hF6ZoXWXpFxrPuZGHsjvB0LWFQmlc\nW6ZdO0dJ9qj/nQbDU8dejIHfqx4PBa31qyISi8inga9orT8vIr+ktf4w8PPAx4Ea8I+qX/kZYAn4\nl9UK4PuBv1mFABTw21rrqw9rfA+L0/N1+mH2UFbCIsKZhSZReucWrFslhL5j0a45tII2zy40cG2L\ndxxrE9g2VwYhgWPhOYLvWsw2fPKqlvyVU7OsjmKuDiLe311kvuVzeqFOkhZ8fX3AXN3j2Ex9ugI7\nOVtnc5LSrt26I90Wt5OrNewPeaEIs4KGVzaiUkpzpFMqBwaOPfUAZYWiUKWzzhahXXNYaPrUPYe6\n5zDX8Flq+1zpRXQtYW2ckitN3bd514kO46SgFbi0ApujnRorw4Srg6hssmUJm5OMI92AYT+jHTjE\neUG37tEOylBU3XN4+Vib16+PS2GhaoKfbfhczSJagbNDXCjJCxZbXmnIViJap+cbTCo1zmGU0QtT\nZm+RfGgwHHbuaAxUK+/v1Vr/6MP80O3lhNXrD1c/LwMf2LXvx2/xFr9cPZ5Ytm6YD4v1ccIkybGs\ngFbgorVmbZwgCAstn1GccbFSGkzyMo6/Nk4JXItTcw3WRgkbk5ilZsD3v2OZz725QZZrrg1iepOM\n9UnKXLM0DF5YbGFbFm8/2kIrzf/+6mW+enGA6wg/+M5jfNfz81iWELj2HUVe4IZe/MN2zUZpQaaU\nKdXaA0ppVkcJlpQ1+eeqEFbdt6l7Nuujm7+f+abHm2tj+qHg2NE0RKC0xplYU4npP7s84Pz6mLwo\n9S18R6i7Fs3AYald4zNn11HA+561+MrlHsM4Z7bukOUazxbGcc7bllp06x7NwKZb93bIVzcr8SPH\ntlifpBzr1phteDdJXMdZwdnVMVrD0W4wNWhc26JbqWfONX3m7qNhlsFwGLjjbKW1LkTklIh4Wuv0\nTscaHh1xVkw7wa2OElqBy8YkZWWQMIozhlHZ7CUtyuMcW7i0GTFJcl69oOlNUr58qc84zvnypU1e\nPtLFtS0KVVR5BJp8lPDNK0MWOgFZrnhxucW5tZCNIOWN6yM2JymuA+M0J94l2hKmOZc2IzzH4tRs\nfYcX4Fo/5togwndsjs8EWNaDJ1NuVSdoDUsdn8XW7ZPKDLAxSVkblRE+x7amMsNprkhzRa4U5zfG\nzDVdbMvi+iBmnOS0A5c010SVe11rzVubIU3PIUwLZhsem2H53mdXx7QCh27DZaldpxfmXNgI+db1\nEXmhuLw+ZiPKSHLFqW6dI7M1BFhsBXQbHoFrkxaaXO1sjORWCa9al3LDtyMt1DQ0EOdGE81guFf2\nmkD4GRH5PWCytVFr/T8/slEZduDZFr5rkWRqGibYavCyMkwQEdo1DwE2xim+I6AVGs3/+/Xr1DyL\nJFdsjmL6cc7GOKNT82jXXFpB6T61pVzNhUl5wz63NubkXJ2kKDsbag2LbZ8XlprUdlUzbIzT6cQy\nTvMdq3XLKleTri2EmaLpP7gxkKsbN/6HkZNx0HHtG5Pr+jghzgo82+LkbIMoK+WoHcvi/HpIw3MY\nJzmF0qyNYwSh23DJi4Ks0IzjjN444+RcqeZ3ZqHJJM64sB6S5prLGxG+bXN+XdgYp1zuR6R5KX7V\nm+Q0PIswz5mrl4ZEL0zJckWSF9Rch5VBPK0Y0FqXLY8FFtp3VhlsBy4LLZ+sUCzuQY3QcDAxnQ3v\nn70YA29WDwswnT32Aasq18vVjQTCmYbH8Wp1taVEGGdlg6HrVab1Fy70GEwiPMelGTiAJkwKVnSZ\nWHi0G3Byto7v2PTDDN+1+NQba8w1PFqBy3zTZxhl/MUz81zsRSy3fDYmKYUac7RbhisA2jWXQZTh\n2hb1XYbC6bkGjmXhOdZNRsT90gpcjnSD6sZvvAJ3o1v3sC0BDRc2QnynzPZXWjPf9Dmz0ORaP2Z1\nFE8TPUdx2UJ4oenz6oVNLvYicqU50Q0Qy+L82ojLmxOagcMLy22GUcaVQUySCFGac3ljQivwmKm7\naGWjlPD8Up2s0LR8m8v9kG7d4/R8gyPdAEQ4v1YKBp1bG3N8psZbGyErwwTPtnCt0oB9a6Ncj5ya\na9zUjGi5Y84Fg+F+2YsC4c8+joEY7sykElPZntV9YqZOw7NZHSW8sTri9ZURK8OYSZKxPonpTRKG\nUYYiZ1F7pIUmyQoKhF6UsTFO6YcZdU+42k/I8pxrg4SVQYxvC1+91ONot85Mw2OmSsJ67dqQI50a\ntjA1Bjo1l/bRW/ecn2mUHghL2FNP+r0yfwhjv0ppVkblan2p7d/T//OG4eawNkoYJzkX1oWljk/T\nKxNLZxse4zinF5bnjWNbfPVyj7dWx7zVi6sOhIq66/C1y32yQpEViuMzdY52amgdEeYF2Vjhu8LV\nQUyWK55bbNJt+Ly4UGdtkhPlOaIF17ZQChZaASLw9csDwjTn7MqYtXGCZwmXehMsLPLZGp5rEaUF\nudL0o3TPhmCUFlzcDHFs4fRcozSMDAbDDvaiQPhJpnm8N9Baf+AWhxv2yKSKw+6lp/ogvJEceHKu\nPm03HKZlCdj59QmWQKFLA0G05vzGhNm6Q6EVWkGYKuIsJ1cgYnGlH7E+Tsra6yhDo7g+SMtVd8fj\nwmbE1UFKMxjx8rE2s3WPQuvKgCjrwZ/bpndwp4nJtoTepGyvXPdsnplv3NNEFmcFm5OUZuAc6oTB\njUk6TeRzbbmvZLhTcw26NZeLmxFRlhOlZWMqz7bZGKdM4oLAtelHGaMkJ88110YJhVZ0Gw4nZ+qc\nXRlzYWPCOMnLiVWgUArbgnGUoS1YW0kYJRmB65CqgtNzTbJc8cxig3nXp+U7dOoey50Az7HoVd/v\n6jghyTWuY5E7FkfaNRq+TeCWIkSvDUbEeUGn7rLXDsSb4VYYq/R4dO+jHbfBcNDZS5jgv9v2PAB+\nmJ2ywIZ7ZBhnvLVeTe6zNzTU01wRpjmtwN2xesnUjYSofphiVavycZyjNTR9G6XgzEKDvNCM4oyF\nTo25hse31oa8uRqSK0WuNJYIWsBCE6c5RZ5zdZAQ56VEcZoXTDKNM0lwbYswc3guVUxsxZkFj1Nz\nDZJc7YhD74XNqjZ8HOeM4nxa+rUXLvdColSxOUl525H2oV3ZbU+gc529514MwowLGxN81+Kl5Tad\nuofVLxUofSej4VkstwNeXxnR8W2u9CNcW8gzxZ9d7bM6zDjS9ujWfcZJxptrY9K8oMg1rgeTpCBX\nipVRSlwoJlHKJC0oCoh1QZppJnGBLRnOZshff+cxXj7WISvU1NPVDBwWWj62JVgi+I7FbNOjG7gM\nkhzHKkMWR7qlNyAvNIXS9MJSZfNORnWn5tKblIm1ezG+DYbDyF7CBF/atekzIvL5RzSeQ0G2Ldt5\na6Iv27qWJVoNP93RPnau4VEozTDKGEQZwyjn5Gydbt1jGOecnGtwcraOa1usDCL+1Zev8MbKiIub\nE8ZxgSoUWmkc26LhOWR5TpTmrI5TLA2WLdRci6xQpY78IGYU2ZyYqXOsXYoXLbV92jUP2wZXQ6vm\nkReKOFc0PPuuK/25hkecRWyOy4lptuFNW9DeDceyAIUlwuE0A0o6dZdn7QYi3FPZ6uVeyPmq9W/T\ndzg+U6fuOczWPb5+dYBtQcNzONoJ+PyFHmGa4zkWrghrowSlNOM051o/5Pz6mPVBTJIVIKA0hGnK\n+sgmywuyTDEIy8lb7LLa4+WjHUZxzmaY4LkWVwcR7bqLLcJyO8CyypDBlrLmMM6wRPjG1SHfDEe8\n7WiLpXZZwnqkUytlk12LP/7WKkmuOD5T48Xl1m1lhpu+w8vbwliF0lzcDClUGeIwLYUNhr2FCWa3\nvbSA7wA6j2xEh4DZhkeuNFrDbOWy1LoUg7nVqltEWGoH2JYQbynDKYXnuDuU/aI057XrQ756qcel\nzZD1cUqcZoSZxrZBNBRFOan2o5Q8B98FQeM6Dr5tkxQFSa7IlGIQpYhllZnevs2XL/b5s8sDGr7D\nUjvgdQ1JVjDX9O+qIVCKybh8/WrZamJLDW4vnJitM4oz6p5z6MWLbreyLZQmygrqrn3T/6jhO2gN\ngXvDm7DQ9AiTjNVhgqaU633bkRZJnpPmBf0wYabu0w5cXMsiVwWvvtVnbZQQJjm2Db5tEaWKfpix\nOcnpBmV4oSjK/IZ2zeEH3nmUhXaNr17q05tkbIwTJnHO1V5EkioGYcrbjt64nURpwdV+xCTOuLgR\nYVvCubXJ1HBcaJVVBW9tlMZNkqlpc6I7sd1YHUYZ46o7Zy9MOdK5s1aGwXAY2Mvy4kuUOQNCGR44\nD/zdRzmog87W5L6drdXR6ijBdy201jettrXWpHnBfMufiq4USqN1ORG8sTLi02+sE2dlklVeFKSV\nEyKqFFjDXNFyypI/ATTCTN0hV0JaKLK8KtvTggicWxsz0/D48sUBcZozCEvPxOV2xJ9fGRK4Nt9+\nqstCy8e1BecOteCWVSasDcLsjmViu7EtMXHeu3BubUycKRq+vcOrBKUKX92zKbRmoelzbVCKCLm2\nxXK7FCGaqZWhpnZQ5g7EmSJwLZbaAaMoJckVaWUopBrIS4O0UOUKIStysjwnLUpvAYBr23ztypDv\na9fo1l0mSc5c3cd3LN7amPC5c5vMNz1+SMPLx0qDoCw11CCCJWUYYLHl3XQ9zDQ8mr6D4wgv3cEr\ncCvqvl0qL2pN04QNDAZgb8bA27TW8fYNInL4UrkfA5YlLLYCNkYJ37w24kgnYKaa9LNCca0fM04K\nMhVxcrbOIMz49Nk1CqV5aanF9UHM+jghygpEdBljFmEU7VyFZ0DHs3FFgdgUGrKiNCpsW3BF6NQc\nnl1oYlsWjmXRD1M6vsNiO2C+5ZEXmlbNJUpzkkxxdnWMbQkvLJUdC9NCUfds3tqYUCg4NVe6Yxdb\ngSkHfMhorUmq0FNyG8GdxW3G56haFae5Ii0KNscxlzPFqFrl25bQ9BxeXxmSKyFMygnatS1agUU8\nLlDA1kflgK1AKfBswXUEy7bLUAGa9UlKy3dZ7kBgW6yMElZH5ao/SguuDuKpMdCpufTClKbj8s4T\n3VLsyrYYRDsT/8pwmkMDB7lHb5Hv2Ly03ELDoc0/MRh2sxdj4LPAu3dt+9wtthkekKPdGtcHMU7V\nXGV1lEyNAVuEOC+T6Fo1h/VxymBrFQWEWY5lCcudGhc3JmQFVeWA0PAtskhNW0L6tlAoIcw0lpWj\nxcamTEpreA5+NWnXXJeGb6F12SzJd22++5k5uo0y+e/c2oTArTPbcImzMqFrFOdc6UdoXWa8Z5Uo\n0CDKTGz2AUnygigtWwhvDwWICCcq43C2eXcPylIrYHUUc3Z1xL/7xlrZf0A0aV5qD5QeAM0kzYmS\nglGSYYmF60DNc6n7mqxqRJQUVamRlGWvnUZAN7Cp+045gdc8fNfmncc69CYZf361DDX4tsNyR5ir\nB7z9yI2ygIbv8HIVNhiEGW+sjkkyRbfm7jAGtjfHKu5DeOpO4aYtUabDHpIyHC5uawyIyDJwDKiJ\nyLfDNHerDZj+n4+Apu/w3GITS8oM7Xat/HoGYYZlwfOLTUQ0rmXTn6REWU5eFESZ4trAIs8LlNJo\nLSR5gVShgGzXYnGUaFyrLDO0gaIowBJqYjHbcDk13+Dlo20WWw2u9ELCNCMtQEspR/zOEx08xy4F\nhWyLOCu4PihbHnuONVUHdGxhGGfVitK4Y++XQmmu9iMurE/K3Itaxqm5xo5jOjWXTs2dlmF2au4d\nV73tms3n3twgynPWxgm+bVFzCxq+Q15ohknGOMpLLxOQqALPdaAoONIqqwrirCDXGkdBOxCW2jVq\nvk237hMmOQ3fJVOacZrRizKujSJcx6q6HgZ8+8kutsi0omBtlKC0pltzifPSs7TUChAg3TXhzzdv\nhA5mGg8vhHSlH7FZ9fR4brH5ULUxDIYnmTvdob8P+NvAcWC79PAQ+O8f4ZgOPc8uNCmUxraEtVHM\nhfUQ37E4vdDgbUc6/PnlPv/fN67x1kbIs7MNjswErI8SVoYxvmPT8Gz6kUWKou6VTWEcFFvNJRSl\nJoFjl6t3QYOGcarQk4zZRsHJ2RbXhhFvrI0YJzkNt/QYrI8SemHGUtue5gcErs3p+RuT09FuQFoo\n4rSUmBW5s678YWWvIkKro5iNccLGJMWxLOr+rT0seaF4c22MUmU9/ZbBUCg9FX3anKRc6UW8dm3I\nOMlp+i5RqihUUUlJO9iOxTBMGcc5UabxHfBcm7wA33eJspy4KCdozxYsx6Jdd1BaM4gK2nWo+Q62\nCAutANeyud6PmaQFZxZaIJqW73K1H1NsTf5ZziAqyqqa1TGtoFTNPDZTVg/slhgWkR2hj4dFWCW2\nxpmqFD+NMbCfGHnhx8dtjQGt9a8Dvy4iP6y1/j8f45gOBWGaM0kKZuruLZPutlZ159YnfOvaiM0w\n5T3xDC8fa3NufcI3rw7LjoCjhJfSBkmmqXsOM3UPscqQQz9MiNOCSZyzu4O70lCzBRGhyDV+YJMV\noArNlX7E2dUhtm2RF5q80Pi10jCZb3icXRnTD7Npe+RCaa4NIiwRjnSCqRjO+fVSOlbrMpY9SQta\nvqkI2GJ9nLA6TLBE8Bzrpk58W3i2hW1ZLHcCFpo+x2dunf2uYeqV2XKjr45iVgZlUqotlKqAWcGV\nfkSuCsIko+4KvVCTFYqa55R9MHLFKNVoIM8q17lTEKUWNceiyHLyAhQax1YMo4zAh27NoygKTs42\nOT5Tw7GFduAS5QVZrpikOS8staZ5KK9dHaK15rmlJkfadXQ19tVRzDixee+zczcl2z4oozhDaabi\nXdtZ7gRVMzBnh9qnwXDQ2Yvv9jMi8ivAUa3194vI24H3aa1/5X4/VER+AXgFeHV7O2MROQr8JqW4\n0c9orT8hIi3gt4BZ4J9rrT8uIg7wq8AzwO9rrT96v2PZD/JCcW6tLI2aJPmOVTWUZXcXNydM4pxR\nlDGKy2Yu1wcxti1YlM1/2jWPuaZ3Y0UppTv5zHyDK4MIlMc3+yNyfbOEpKJcXRUKbLesHHCkdA/H\nWcafvrnJy8faDOMc3ylduc8sNMv9eUGaKyZJTrfusTFO6E1KcyNwbWYbXlmClubYlWFyqReS5Zpm\n4PDMrr/3MJLkBefXJ1wbxCx3gjuuQOeaPr5bJuTdKe/CtS1OztUJk2JqWAyrMpLNcYrrCIMwrer4\nNdcHCaujGN8q6/2TQnF1EDNJcpKsmJ4zVfEAeV5qZES2wqLMSbGk9HAErsuZuUYZktIQZTlzTY+F\nVkCYFmShZqEVVO+pCVyLMwsNLvdCLLGIU8WzCw0KrVkdJlzYmODaFv0we6hhgO2CX0e7wU0qjq3A\nnUo3GwyHib0YA79aPf6H6vXrwL8A7ssYEJF3A02t9XeLyD8Tkfdorb9Q7f4I8NPAV4HfBz4B/D3g\nd6rHJ0Xkd4AfAF7TWv+YiPy+iCxrra/fz3j2m1ulPq0OY1YGMf0wp1tzWe7WmEQ5vSjFG1p84UKP\npU6Nju/gWNCLUlaGKS3f4a2NCYMoI80Vjl0qCt6uoWtWKDTgYuE5DuIo4olCY7M2SRjEOc8tNggc\nm+VugCp0qR2/Omah6U3LsrbKupQu3cYAK8O4TDy0yo5yl3vR9DOfRrTWKP3wss+jtGwDfbRTY75V\n/i+vDSLyQlfGwc5V6V5L4NqBSzsoFfcubiQ4dpk/sj6J6Y1TBlHGc4stslxRqLJx1aBQaBHSrCDO\nddVzYKv09MZPKCtRrAI8uzQELAtqns1iO6AZOGhgFJdiVFf6EYKwGaZkhWKm7mOLMAhzolSxLmUe\nzMYk48RsbaqhoJSeagfsbkb0oKjtiYf63hMPDYaDyl7uMPNa698VkZ8E0FrnInJ3lY/b817gD6vn\nnwDeB2wZA+8AfkJrrUVkJCLt6vj/SmtdiMhXgZeqbf9H9TufBL4T+L0HGNNjxbEtnplvMElzZm5R\nP98KXHzHxrUL2nWHdx5vE2aKjVHMq5f6pEVBIBadusMgyvmzKyOk5UmNAAAgAElEQVTitKDuQZRq\nepOYMC1zArbfyHcT5eACnZaDVqVL2K4mobJ/fOkxqHkOy+2AK72IhudgW8Iwzqer26xQVXObHNe2\neGHJrloj59PM95NzdYZRxlzj4Vel3osS4v2+/9m1MVmuOT5Teygr1TImnlHzLI52awzjfNp3wLKE\nY937E8IplKY3SXnt+pD1ccrmJEVrzaXNiHGSkhWaXpjw4lKLd5/osDaMmCSalWFMkStyyhLBokou\ndYFo12coQBVgW+V50vDL/BFLLCZJTm+SkBUFLy62OLc+oR24LLUDXjrSpl1z6E8yzq5O6NQdup0a\n7z41uyN01K17eI6FJaUnJM4KXNt6KIZYt14KfqlKc8FgMJTsxRiYiMgcWxVEIu8FBg/wmV3gXPV8\nALy8bZ+t9dRcH1THdimTFu+27SZE5EPAhwBOnjz5AEN+MG61qmz4zm3V5OYaHvUTXeIs5+JmxNVB\nwsm5Or5r8c2VEYstn0FU0AwcLvciLMrQwiBWFIUmKSq3bnH3LzijdCF7tkUB1D2XpbZXaQEIp2Yb\nHJ+p862VIdf6MZYIdV+RF4rf+8pV0lyXiYiWhevY9MOUKCs4Ndfg0uaEUZyzNkpYaPn33GRIa81b\nGyHjJN+Ri7CdQmneWC1lnGca7p4lju+FOFfTEs5RnD8UY8C25KZwiUg5uQYPsBq+3AsZRjlXBzE2\nQpwXjMK0OpcmgHBhY8KlzQjfsQhTRZIp4qyc/BU7G4/czpC0rGq8QJYp5uouYsE4LbAswbGFS/0Q\nSwRE864THZSGtzZCFpoBJ2YDPMcmcG2iqgKiW7/hot+SW14ZxqwOE1xHeH6x9VAMgsPY8dJguBt7\nMQb+AeWq+4yIfAZYAP7jB/jMAWV5ItXP/rZ9233IW/u2jo9vsW3ruLO3+iCt9ceAjwG88sor++IT\nVKrsORBn6pYxSihXnuvjFN+xaNdczq6OSfNSAc6xSjXCUZxxfKbOe07PstDw+fPrA9Jc8x0nZ3Es\n4Stv9VgdpziOkCtFWuhprPduhFkp6yo2dGtQdx1cu1xl1yvdAaHsktf0HE7O10nyUvVwkhZ0ai5H\nWj5JrphveTQ8B601/bD89C1j4F5JCzUVyOmF6W2NgbwqO7ud4M6D0vBsOjWXJC+Ybz0aJcTAtXlh\nqUWhNDXv3vUYCqVZGyVsVhUHL1Qy1Vf7E1aGMXGhUKpUChzGBUopNscpkzTHsilLR+GmkFI1l99k\nFPieVeauIHiug+s4vLjYIMsVGxNNt+bRCVw816bl2USZYjMMS2VDx+bF5TaWCDXX5vXVEVmuGUTZ\njh4CAGEVLsiq8IVtGa2Kg87DriDY/n4XPvrXHup7HyT20qjoVRH5S8CLlF7nb2mtdyen3wufA34c\n+F3gg8Cvbdv3NRF5H/A1oK21HorI54DvEZHfBd4FvFa9x/cAnwf+MvDbDzCeR0qSK+JMUShFL8xu\nOaFdG8T0w/Jf2ooyLm2GdOsudd+mU3O4sBHSj1LOr004OVfnzGKTP3ptlX6UsdT0+M5nZumHOQUD\nolQh4oDkRInmdvEcAdzKzVto0Hb5OlMaxy0FChZbPqcX6vyFYzNV57eEo50anmszjDNagUMvTHn5\nSJsTcw0Edrl73SoB7P4Ssjzbol1zGCc5s7cJL3iOxdFuwCQp7svg2AsictfeCw+De42Pa63JirIE\n9d+f32BjlDLX9FjuuCy0yn4O14cxFzcjfNfCdxxsgY0i5Vo/I6ySBC1Kr8B2hDIvwLdK71HTtcgL\nGGeqFLNC8Z2n59mIMk7ONnhpuc17Ts/QDDze2gxp+BaeZfHmesgzc3XOro1o+S4136YVuDS29Zlw\nbYssL0MBu8M8y+2Aazqi4TtGtMpgeITsKStJa50DXwcQkb8iIv9Qa/1X7ucDK+MiFpFPA1/RWn9e\nRH5Ja/1h4P9v783DbEvLwt7fu8Y9711znXnsgaabbulWJiVMD7m5ap6gJmA0ivcqmqs4ERM0eiWJ\nA4gaRWK0xQknNBEIDlehoRlFImA3DU03PXefueba4xrf+8daVWefOnXq1Dl9Tu3aVd/veerZa6/x\n3Wt9tb73e793+AXg3UAR+On8kHeRRRO8EbhbVUMR+Qvgm0Xkk8Bfq+rpq5FlKyi4Fq4jPHWuy1Q1\npRcVL3qpObnTXarKfDtEJMvY95w9tTwVa8zT8x1ElOVujO9mNeRPLnaZawXEquxrZB7pi92IXhgz\nsxyw7ER0ejHd3Bks4XzmqNGSTcW3afUSOkGCZWW55BtFjzBKKFaL3LK3xrHxKq5jceu+Omma8uDp\nJp0oxXct7jjYwLWtS4ZgHRgtsX9k/RoLK7nvN5rjF5GLkuusx1jFZ6xy2d22LarKiYUuQZywt1Hc\ndEXCp+Y6NHsxqllFyzDJivbsbWRtrNWLKbg2qYLvCI2Sy2PnQgQLP48gQSFIYhyBXgxuvs62oeA5\n+DaMew5i2SRJRNAMcSw4NF7jq4+NU/EcElUOj1e4/UADRDg8VuaZhQ6uY2HbFhU/M//vGynwvH11\nCmt+3+GxcpbLYh2LSNG7uNaCwWC49myUgfAVwG8Ae4H3A28jiyoQ4GefzUX7wwnz72/MP08Ar1iz\nbZkseqB/XQR827ORYasQEUZKHodGs06tHcR4tsViN6Lo2hQ9m+lagaJrE8UpD5xaouja7BvJvKuX\nuhFz7YAgTpjOPbZrBYfn7W+w2A0IQmWpE/JYO6bowmTN5/SiMl4rMJL6PDO3TNJLSRIuCBVLUlAs\nCk5KrBa2WFQKDiXf5oaprPDLkzMtljohRyaq3DBV4dRil7PLPcbKfuY7sIlOa73O/sm5Dq1evG5R\nnfVYmUYpujb10s4L++qEyaplaKYZcGhsc8rAQifkxHyXk0sdJqvZM7ltf31V2fQdC8ey2Vsv0Ki4\n7K0VWOrGxLEiFiguy92YuKdEaYIrIA6EUTZtIEGMVbCYaYfUCi71gstYRVDJwvL21oscGivRCVNs\nCx6baWVTXSWX6aTAbCvg8FiZfSMlFGVfo3SBItDsRSx2Ihold92Yf4PBsHVs9Nb5JTLnu08D/yz/\nfLOqvnMrBLtedMOEpW5Evehe1dzs1TBS8mgHMZZk1fdOLnZZ7ESIwE3TVVzbolHy+MrZJo2iy2I3\nZjw3iy91Mg/8sbLP4fHSqoPVP3vuFKA8cGKRx2bazDR7pKq5udyjEwiLvQDbdlDCC8IKsipzShSn\nhLFiiyDAvkaB5+5tMFb1KLkOUaKcWgpohymocmq5RzfMYtgPjV592ddOGOefmwtK6Z9GucGt7Dhz\nse9k1qMziz2COKFR8i7qHOOVMNA+K0zZs7Espey7jJWz0r4jZY9WEHN2ucsTs20Wu9mzz3JapPiO\nw3SjQNW3aYUJadphvpWQaJaISqOsqTh2lkcgToSCa1H2s1G+iODZgo2wf7REregRxgEPnW2iqTJR\nK1AvOsSpUvAc9jaKTNcLFFz7ot/0zHyXJFWWe9FqPQKDwTAYNlIGVFU/mi+/X0RODrsiAFlWvCTN\nSqM+Z0/t8gdcAzzHumAEnOYBE6rnlyHrFJ7pRnSDhCfmWtw8XaNRdmkFMZ6dpZKdaWae1UvtmAOj\nZcq+w8xywNPzKWGUoNrj9FKXkufQKDqrHuqpgi3ZZ9mFom9R9rOytq5jM133eMHRMUquQy9JOdHu\n4FqC49hMuQXaYUwvzPweiss9akWXY1dpvt3XKDLfDi+ZcW8tK3PLImTe6TsMx7Y4Ol6mF6bYlnBu\nuXdBx3luucfnnlqg6NrcfrCxGo56aLyMIjR7mXI7WSvw8OllPvnoLCcXuzSKWcRKwbNo9RJCJ6Ve\ndLArDvOtCFuEou9ScG2iJCEGvNyPxAIsR0iSFL9oU/Jc9tQLSF5LYLJeoN1LODzm5mmNnbz8daZc\nzrVCzjZ7FN0s7MDO/S76f5fnWHTDBP8a5xIwGAxXzkbKQENEvql/3/7vqvre6yfW9cO2ZDXv/9Uw\n1wpIUmW84l91Wt19jSIFN6To2asJe+Ik5eBoiXaQVYxTFeJUqRVcbtnrstSJ+OKpJWZaAWfz1L++\na/PS4+M8dHoxGz13QxJVulFKEIV0o7y0be4irgpjZRvfdRmvuIQxVH2oFV1edGSc2/c3+MLJJc41\nexQdm31jZcbKHvtGyoxXPBqliEfONhkpeXSChDBOaPZiKgXniurJN0oejZJHGKeZI6LvbOg7sKdW\noOTa+K51zZPQbBdcO5um6YZZyOgK3TDhgVNLPHK2Rdm3aZQ8Rg5myoDv2OxtFHDtrDx0ECecXOzx\n4OkmrSAijH2OT1Y4s5wpBu0oplyweXqmw6nlHpoq9bKDawuWBXaStZGSl4W+dqIUECYqWdnqKFFu\nnipTcF32NYpUi1lWxOOTFfaNFDm33KNacLFFeeDEEqMllzhNsfNn25/wB+DIeJlOGG/aR8JgMFw/\nNvov/BjwjX3fP973XYGhVAaOjJdXRzJXynIv4tRiD8hG2NP1q8uZ7tjWBfnWn57rsNTNvO6PTVY4\ntxxQ8uwLzOEFz6LZi4milIdPNwniNB9lKcvdlENjZaodhyDKOoRelBClISKC4wBpNrKOU6FsQSdI\naEdZUiDXzZK7fOVMm7LnUPVdUrLcBQdHy9wwlZnm9zSK7GsUmWkFNEouT81loWKuI9w8fWVWlpWQ\nyzhR6kV3Q299y7q2lem2IyLCsYlyXhzH6lufZR8seTYlz2a0cqHF4OxyQKopN01XKbgOB0YK2Bb0\nwoRUYV+9wFOzbZpBTMN3mG2GNIOYs8s9HAtOLXYI4pQgdzJ1LCh7LiNln1GEKE1RlCiBqbqPpspI\nxWO5G/Pl08t08kyKxycrHJ/MShF3gpjxqk+U6Oo0gSVc9AxtS0zqX4Nhm7BRoaLv2kpBtgrPsRh1\nrq5jsftGr9Y1HKAu97L58KVulkvgwOj5jjGME04u9FjohExUPeZaXTzHQixBRUkSZbrhEyUJRydH\n+NLJZXpxupqTHlLKrstCJyZIlE4UE8Qx1YJHrEpnuUctcPjc04t0w5gbpqrcsqdGwbHphEmuAHXp\n5PkEDoyWVp345lpZxrws1v/iOe2NSPV8foBwSFMUX2syE/yFFpKCa/PcvXX21osUHIvxvvDJILes\nnFsOSFQZLXks92L214t0gixD5Ae+cIrZZshyN8R3bKZqBRxb8CxhqZdN/ViSpRa2AdsWir7D1xxq\n4Lg2T53roJKFiY4WPVpBxOMzbUbLHqW2Q9kPOTDiEMTpajTDWNnja28Yz5NFFa9ZCmeDwXD9MPa5\nK6DsOxyZKJMkek292idrPgvtiLGKt1oB0LaERtHlvqcXefhsC9cWxioe+xplXNthoRuwr14kSlK+\n/PgS7W5CmKS0gojlToRlKbWiz2jFZ6HVJUaI2yGqgiWAZBUKbbEQsTgx36acRyrctr/OiYUuc52Q\ng4USM82Akuew2InYU09XqyweGiux2InwHYuHzjRX121mtOfYFgdGizR78XXLD7BdWOpGnFzoUvJs\nDo2VrjhlcsV31rVkTVZ97nt6kShJCSPl7x+fZ7YV8MxiO8/5AKNln6dm27SChG6UggUlz+bAWJHu\n2XZWvljBczKHRNvKnFznujFWJ6GTpByfqHBsssyeWpHTy13CvJLljVMV6kUXzxFOzHeYbQWMln16\neQbKiu/w+EyLOFUOj5UvctiNk5TFbpRbPcyryGAYJOY/8Aq5mumFyzFZLeTpf7P0qysVAIMoxbKF\nOElpBQlHxstM1nxGyy4nFrLiMGGcUCt4RHFIkqYEsZIIOJaNZQn1osMTswlBkCBA1beZrBYo+Baq\nQsGxGKn4tHoxiUI3zyFQ8TPT70TVZ7TsrZYj7kYJ1VwZKLg203U7z3+f/ZZ2kGza9LviO7DTmW+H\nJKnS7MV0o+SyHd9cK6AVxExWC+tGvKwojGcWe3lEgSBW1jbve2aRMIYwUfaUPCbKPr2wyok8UqHd\nixGFatGmUXSRXCmsFlw8x6Lg2ZR8myQBz7O4YaLCgdESLzk+wXTN54m5Dk7uDKhkaYO/crZJGCc8\nM9+l2YtWc0M0ezG9KLP6LHRCit6FESgnFro0ezEicPN09YJS3kvdCNuS6/L/ZjAYLsb8pw2Qbpjg\n2nLBS3DFs1oERksuj840STTl2ESZA6Ml9jUKfOKRWc7kYX77RovsHykSxCm37atRKyzzpZNLxGnK\n8Ykys+2Qgi0squLZNntHS9y6t8ZiN6boWNx+YIRb9tX4wH2niBKl6Fo8eLKJ71rsHylx41QVyxLO\nNQNUs3CwW/Ze2NnXi26uTOimIwR2EyMll3aQJQAqXMbRMozTVb+UKOlyfPLiiI1TSx2enu1wYrGb\nRxJ4gMexyTLNIOLJc23m2gGTFZ+nFzo4jsMLjowRxgmfeXyeThgjFhwZr7DUCyi7DiBEqWJZcOve\nOscnK0QJ1EsOLzg8xmjF5/GZFmkKticU+xSasu8QRGmmYJS8VcWwUnDwHIs4TdfNI3Cp/OCzrYDT\n+T04MlE2CoHBsAVslHTomy61DYY3mmC7cGapx0wzKzF749T5AiyNkofv2Ihk5X7LnstktYhj2/iO\nxVfOtfjSySXOLAXUiw5lz2FvvcTN03WOT5axLcG2lLNLPVIVbpysYqF0wszRr1pwKXkunQjE0iy1\nrMBt+xvMtwKKnkOcKJWixUT1fMREwbWYbYXUChc3GdvamnS9w8qVWECcvMhPGKfMtwOemssqGAZx\nSpL7WZyY6/H0QgfXsqh4DmcWuzxypslt++pMVnxOL3bxAovHZ7KKkiXPYTr3Iyh4Nr4nuGLjOhb1\ngs+RiQopKaOlLMLk5ukKX31kjInqhQ6yK7UfVkb7S52IKE3ZWy8wXvGoFmyavYSynyk8rm1x03T1\nkr91/0iRhXZI2XcuUIgvKDOcmDLDBsNWsJHKvRI5MAm8GPhI/v3lwN8xpNEE24WVxDtxcnEBlhXT\nsGNJ7keQogqPnGtybjng5GKXKFF6zYTk1CKjZZ/jThlbBFss2qGy2EuoqDBd9TkwWsKxbM41e4wU\nHdphzP4Rn9lWRBAnPHqmw/7RItO1AmXPoRXGTNcLF5R4LfsOc62QOFV6UbItEv8EcYItF1pWhh3L\nEm6YrPDEbJt2ELPUiUgVWr2VklNKpeBwfKKKJcrnnlrkyfkOnSAGgX0jBRzLIkyU8YpLJ0zzcsDZ\niHui5tPpZYmjnlnosn+kACgvODzGbCvAsSyCWLFEmGkGPLPQplH0ODpRYf9Ilh+iUfRo9iKenu8A\nWec9WStwaKxMEKebzhvg2haTtYsjcsYrflZO25IdmXHSYNiOXDaaQEQ+CNyykv9fRPZwYXEhw1Ww\np17k7HLvohDCfhzb4sapKgdGijx6rs1CJ+CZ+Q6VQpbhzbWg6Nh0wpiTiz1Gyl1SVQquhYXiWMJS\nL8wqEFpCwbP44ukmI0WPb/2ag9x5yGe5G3F6qYfThBccGWOqWiBVvaiDTVJdneuO08GP1uZaAacW\ne9iWcMNUZdNRDMNAsxfz5FyHpU5Ireiy1I1WPfPHKi5xCo1S5tDZKHtMVDx6vsPBsRK1gpPnb8im\nbW6YqnDbnjquY/HMQoeCYxNaKSIwUfWIU2Wy7LLUDVnuRhTdrNbAE3NtTsx3SFJw7C7TtQLVwvkS\nw63g4nqYInJNlETLkgtCbw0Gw/VnM5NxB9YUAjoLHLxO8uwaip7N4TX17HtRVrltbShWwbWzbIGp\nS7XoMlb2UFHqBY9zzYBG0WG+HfH0XItenFIruOwfLdMoujw110LEIopTpioF5loxvmsz1+lx5+ER\nPvnIHEXPptWNeXquk8WmN847eq0kaFp5OXuOtS3mcFdSGSdpllhppygDUZLy2ExrtXZDrZhV+EtR\nfNdiX6OEZWXTCI+ey2oBPGdvnSCK8RyHqVqBouuw3I05vRzQ6sY8dLbJVK3A0fEyqjBVK9DqJkzV\nfJY6EQ+camHbbSq+zXOm64xXfbphwon5LrYNxydrJHqhAljJlY84SY2fiOGacK1LFxuujM281T8s\nIn/L+TLBrwXuuX4i7VyiJKUTZBnm1nb4Kz4EriPcMFm9YLuIcHSiQhAlRInmNQgiJqpFKgWXNE1p\nBgmtXkyqwv6RIr5jUS24nFkOiJOUsbLHSNlloRNhWXCwUaIVZObi5V7IQidCFeZbIdO1LElMZqpO\nmKz5TNUK7B/ZPn4BE1WfOFU8x1q32t0wU3BtJqs+npv5fDw206bkORydKK/6cNz39CJzrYiCIxwa\nL/PIuSz8tFbMiliVCw4fe/gci52QxW6IZwnTjSK3H2jQDROes6fKPzy1wEwz4lwzoOBaoC7HJ8tM\n1Ap86dQy+0aK+I7NzdPVdRVAU1zIYNg5XFYZUNUfEJHXAC/NV92tqu+72guKSJWsJPEo8Juq+u41\n219BVhWxB/wbVT0hIr8J3ErmgPz/qOoXROQtwGuABeADqvrLVyvTVqCaZdyLYl23Wt+KD0EUX+xD\nADDfDvj8UwuAYFnKgZEyS72IkZKLptmUQslzWGgHLHQibt/fIFWlVnD45GOz+WgSXnR0HMsWGmWf\ndhAzXfPpxQn7Gg4zzR7T9Qa2lYUzLnWyjmKuHTBe8bdV8piCa3Nk/PLljYcN17Y4Ml6mHcaMlrw8\nI6HgqLDYiRgtCycXupxYbANCkKTMtyIeO9eiFWTheBPVAi8+Ns6J+Q73P7PIqaUeZd+hXHC5abqG\nZWVTPTdP1YjilJRsyukFR8e4eW+dejGrV3BysUsvjImSlChRPGf7PH+DwXBt2VAZEBEbuEdVXw5c\ntQKwhu8B3pP/3Ssi71HVsG/7TwGvBm4Bfhz4fuCtqvqEiNwAvBX45nzfN6nqUFgpVFnNuLfenPue\nepEzy1ncuGqWlbDWF6//1GyHEws95tsBt+6ts9DNYvvTNIvJrhYdpmo+EzWPM4s9FAiSzAN9vOLn\n4V8Jxycr1MseriPEceYbUPZsOmHKWNldnbpwbAvbFqIkpVpwWOyEjFV2dnKg7YLnWJxZjlnuZhUr\nQYjTlGYvQsh8CsYqPkIWevflU8sI4No2cao8MdPOHA5FUFXSRKl4LkfGS+wfKXJioQsIniO84OgY\n07Uiji0cm6isjvbrRZfHZ1rMtiI8J8gjEgqkqXJqqYsq7KkXdpTzpsGwm9lQGVDVRERSEamr6tI1\nuuYLgR/Iz30/cDPwBQARKQFdVW0CnxGRt+VyPJEfGwH9dW/fJiILwL9T1fuukXzXBSsPvzv/gr+Q\nomczWvY4t9zjidn26st3NTufAKIUPRvHFoqejabQDhN816Lk2cy1QjphzInFLt0wYaET0urFTJQ9\nRms+R8bK3HV4NMtNv9SjZ2V556sFh2ohMzH3c3Sislol0GSI2zqWuhGdIGvmPT+hXnJ47FwbS1gN\nOx0r+xydKFPyHOJYmWuHBGHKVNXDsYRmL6t0OVb1SZRcsYOzy11aQUTFd9k3UsqLTsXMtkJsW5ht\nBXTDBMvKrC9iZbkPVsIFF7vRalIsz7GMo5/BsEPYzBu+BTwgIh8C2isrVfUHr/KaDWA5X17Kv6+3\nDbJ06f38PPCOfPkdqvqW3FrwO8DXrb2QiLwBeAPAwYOD93msFdwLRvv9qCrPzHdoBTEzywGHxx3i\n9HzO/iNjZaIkxcsr1a0oFAvtgEfPtVnqhlR9l0SzUd1UzefRLzdZ7MSEScpXHx1jTz0bFTZKLiNl\nj9O5N/6xySrtIL5o5F/xHW6arub17c0IcKuo+A6WlWWgPJWHkZZ9G9vKnEuPTpQ5s9RjsRNSdLN8\nAccnK9hirRaSArhpqkrBsYjjRaZqBU4stOlFBRold7X4FEDRc9g/4jDfCml2s+mqcp6pcqzis6de\nWN234FqrZbG3Q3ipwWC4NmxGGXgvV5FTQESmyaYC+jlDpgDUyHwCasBi3/aVbSusWgFE5IeBB1X1\nkwCqOp9/PnKpXO+qejdwN8Bdd901+Hi4DRCRzBlOHZyGMF71VlMUAzTKHjdP12gFMSMlb3X+vhkk\nlH2HOLWYbQe0e1nFOMcSJisFbHq4jsX9J5b4/NML1EsuZc/l1r1VUlUmKv6Go7ud4qW/3QnihOVu\nTLXgMN8O8SyLStlmuZfgWkoQJ1QKNhNVn5lmwMNnmsy3Q55/sMHeRolFN6LZjXjg5CK1ostt++rM\nt0IWuiGHxitZiWKxWOhENEruBR15xXdo9mJqxazgUJpmlqo99eJFcpY8hxumKkYZMBh2GJtxIPx9\nEfGAG/NVD6tqtNEx+XFngJetXS8iPwq8UkT+DLgDeKjvmLaIFEWkQuYz8GB+zKvJEh+9tu88NVVd\nFpHxzfyOYeDYRIVOGFP2nFWv8X7m2yHNXsxSN+Lm6SoiQq3gZGFono2qz2jJZ6kb8uVzLWZbPcCi\n7DmcWGjTjRIONMp4IzanFgMqhSxWfbp2/qV/ZinLYT9dL+BfJnXudqETxni2NXDrxWInpBslTFT8\nK5blidk2UaycWtTVqRnEouTbzCxnCl0vSrFECKOEj33lHGjWaT9nbx3bKvH5pxdo9hKavYRaweWZ\n+S5xAiLKgWqRsp/lENg3UqATxqtTP4fGSoRJimdbRIkSJumG4aPD0i4MhrX0hy8++davH6Ak24/L\ndqIi8jLg94EnyWauD4jId6rqx6/ymu8iiyZ4I1lkQigidwB3qupvk0USfIjMcvCd+TG/RjZ9cK+I\nPKyq3wu8XURuBSzgzVcpy1XR7EV4jnXNX4qXq+8e5aV+k1RJFWyBasFlbyObGji12OPUYoe/f2yW\nk3lu9+MTlbxErXB0vEy14HHLnmpW5rgXcWzivEd+K4iZaWblcJ+e7zBW9jk4VtoWeQUuxUpIpm0J\nN05VBqYQ9KKsUA9kjqITVZ+n5zvYlnBotLRpuVxbsC2LME6pl1wmqwUsEVq9mDhRZlsB//jMIt0o\nxRYI4piHziwz2wrphAlBnFBwLRa74WqZ7f0jRV54bJxulATOk6cAAB5iSURBVBBECaeXeqiG7G0U\naJQ82rkCmlmnMguVwWDYXWzmLf9LwKtV9WEAEbmRLOfAnVdzQVVdBr5hzbr7gPvy5XtYk8dAVW9a\n5zzfezXXf7acXuoy2wwRgZumq1tqRj8wWmK2FVAtuKvTBI/PZuGKi92IYxMVZpo9fM/BdywKrs2B\nsRIF12ahEzJVK/CCI2NYlvDETBvftuhE5/0xPdvCsqDdS1DNlI6FdritlYFudD75UJwqgxq0irA6\nl25ZwkInJMhz+Dd7MSOXSMwTxim9OOHwaInTSz1sW5iqFlanjSDz2j9Dlq2yEyZ4jkXJtSh6DiXX\n4dxSwFw75OBYkdv21TnXDLDzdMKHx8qMlD3iNBvtJ6muFhIK4pQnZtt0w0yBuGHq0nUEDAbDzmYz\nb3l3RREAUNWviMiuzTYS5sVaVkIFt3LaNMlDEm1LSFNluRvRDRMcy1oNW5yqFagXXHpVn+cfaDBV\nL2KLMFb2uXlPlVrRZbkXESUpJxa7LHRCljsRh8fLNEoeN05VCaKU00tdgjilsc1zw++pFzgrPYob\npHXeCnzH5thEhSBOqBdd2mHCXCvEtoSSb7PUiWgGEeMVf1XOOEl55FyTNIVa0aEdrihhvdUcCq0g\nZqEdMlbxULJEG9O1Al9zZJS9jRJiCZ5lEWvKeNlnT71IK0gI45SRkke9mFURXFEA6kWXyZpPGKdM\nVH0eOdsCIEzSdX6VwWDYLWxGGfisiLwL+MP8+7cBn71+Im1v9tSL2FaPgmuvW2v+evLUXIckVZa7\nMXGSjeoc2+K5e2ukqpxZ6rFvpMg3PG8PT853KLkOU3U/8zi3M0uBqhLGKb4jjJY9WkGUhZVZWZph\n17ZwbYsbCsMxSiy4NofGtkfyoaJ3vk1UfIfn7s18YZNUeWahg2pW8W+lLHGcKisBI1FfZ9zvLvJ0\n/syfnMsKBonAc/fVOTZZoRslCJl15Dl7qvi5knFsokw7SCi4FZa6Eb5r49kWp5e6zDQDRLJiQK5t\ncXCsxEI73PZKn8FguL5sRhn4t2SJf1ZCCT8B/Pp1k2ib4znWwNLyuraQ5BnpTi8HpHreUtEOEtpB\ngmcLI2Wfkp+VIm6UXBY7Ecu9kImKz1I34sxSD8hK4862rdz5Ts47rhmuCStRLis+G4kqXt+0UsG1\n2TdSpB3ETNZ80jRzhuwvd+w5Qjc8HwizMn3TKHlIN+KhM8s0ezGCXJAwqlLIEg6tVAWcbQXMNkMe\nn20zVvIQhD31IhXf2dbTQAaDYWu45FtARA6q6tOqGgC/nP8ZBsj+kSJPzLYpeBY3T1Z4+FybiYpP\no+TS7MUoyonFLkKPsYrH3kaRIE7yjHMQxVk2wRXGq1nimmYQU3TtdSMYDM8eyxKO5yP56pqOd7Ts\nXVDox3OyETzA3nqRI+MV2mHMjXaFuXaYhZ/m5xAhcwZMM1+WFWUgiBMePddClbySobvqf1AvOLiO\ndUkfBoPBsDvZaEjwfuD5ACLy56r6zRvsa9gCFjoRSQqL7ZjRssdUzcd3bKoFl6MTFmmqPDmX1Zhv\n9rLkMbYIlpWlLXZsYSyvMSAiq6lnL5UIyXDt8BxrQy/9bpjw5Fw7M+vnYZIF12a84q8+n72NC+P+\nawWXgyMlumFyPlNlfq6V6YdWL15NdnVsssyxybLJJmkwGC5io7dC/zDx6PUWxHB5VhzPRKAbxaRp\n9uJf7IScawaoQj1PHLOSsMixrdyxLaWWWwX6zdCG7cFiN1x1Am2HCfWihb+JEL/n7a/TDpLVdMGQ\nKQlh0uJcM6DonT+HUQIMBsOl2OjtoJdYNgyI0bJHGKd0o4hWL6EdxoxXslK+Kx2J79ocXONQV3AH\n62lvuDyNosdCO8J3LA6NFhgpe5t6Zo5tUS9dqDRYllDyHPY3bLphSpoqliWcWswiRPrTCxsMBgNk\nCXsuxe0isiwiTeB5+fKyiDRFZHmD4wzXiXPNLMHO/SeW6UUpFd/l+GSVkZJHwc3M0KbG/HBS9LKa\nE45lMds6n6PgalkpOT1W8bAsoRXEzLWywlUzzeAaSW0wGHYKl7QMqKoZOmwzklTpRDFBnBAlCWNe\nZu73HJMwZifQX9q6v0jV1TBR9S/wI/DsrMhRkiqlvpDYOEmZ74SUPBNVYNh6+tMDGwaL+e8fIkZK\nHg+fabK3VmS84q8mprkUcZwy18lq0VcLLr0oIVU1c8fbjDhJs1F82SNNFYQLIgzWI0pSelFCxc/S\nCCepspBXMSyv06l7jsWNUxXiVC+YIji52GW5GyMScONU1aQiNhh2KaZXGCJsSxiv+KhmvgGXqtaY\npkqcpnzm8XlmWyFTNZ+bpqucyusVHBgtGifCbcJcK+DUYg8vL0M8uaaCpKqupjheIU2VR8+1VvNI\nHBgtcWqxy2InQoRLduqObV2Urln6/IRNmgmDYfdilIEhwrUtjk6U6YQJI5fozBfaIScWusRpSm8l\nIVGYEMTnzc4ry0mqq0VqbJNjYCCshICGcUoQJxdYbXpRwmMzWbrgo+OV1eyGqZ53GA3irDaDbsLF\nV1VpBTGFPCMlwL6RIiXfXs1SaTAYdidGGdhGqCpL3awi4qVM+SXP2dDMv9TNqkvbIuxrFGgGMYfG\nyoyWXFq9mKKXxa4Dq0Vqip7F8UnjczAIJqo+UZJm6a3XePg3e/FqvoBmL1pVBhzbYv9IkVYQrz7L\nvY0CBc+i6NrrWgWSVHnw1DK9KAFR7tjfwHXsVWuTwbDbMOWML8QoA9uIc82Ac8uZp/cNU5WrCv8a\nr/oEcYoA1YLDkXxE+fCZJmGcYlmyagVYGVX2Ww0MW0vZdy7p/NkoublypxdN64yUvQuyCDq2tZpb\nop+5VlaSutmNeWahzYn5LmMVn7LncMve+jX9LQaDYXjZcrugiFRF5C9E5FMi8h3rbH+FiHxaRO4V\nkf35ut8Tkc+IyEdF5F/n6/aKyEdE5O9E5FVb/TuuB/3e5El6od13sRPy1FybVhBveI6K73DTdJVE\nldlWyJNzbeB8IZx+L/WDoyUaJZeDo4OptbBTmGkGPDXXzkbd1xDXzvwIjk9enWPfUjfi1GKPs0sB\ns62AyWoB17GYqvomcYjBYLiAQVgGvgd4T/53r4i8R1XDvu0/BbwauAX4cbIiSQDfpqqP9u335nzf\n+4G/BO653oJfb6ZrBey8jn2/R3iaKicWuqtV726avrxJ37aEONGsQE6qeI5FN0w4OHo+AqFacKma\nVMTPil6U5IWfIEm7HJ2oDFii8/T7gewfLWKJcGCkRKxKY518FEmqnFnu4VjCVO1iK4PBYNi5DEIZ\neCHwA6qaiMj9wM3AFwBEpAR0VbUJfEZE3pYfo8C7RWQuP/Yp4Dbgh1RV80RINVUd6mRItiVM1y9+\nCVtWpiAEUcpyL+SJ2fa6WeSWexEnF7qUPJtDoyXaYRZ6NtMMCKIUS4QoVjCBBNcMty9+fztl9Vvs\nhJxe6uHYsLdeor6JEsUzzYD5VqaXFxz7kseoKqeXeoRxyp5GAX9tiILBYBg6BuE+3ABWOu2l/Pt6\n2wBW3jJvUtUXA28Dfmllm+qqD/Xa8wAgIm8Qkc+KyGdnZmaulfwD4dhEZbUwUasXc3a5d9E+c60s\nv/1yNyZRZbTs4TkWrp2NEEXAdUzUwLXEtoQbpiocnShfVEhokMy2AuJEiRMoeJv7N99sO2nm2Qyb\nJpuhwbBjuG6WARGZJpsK6OcMWcddA3r552Lf9pVtKyQAqjqff35SRN6ab+v3elt7HvL97wbuBrjr\nrruGeprUtoSRssdsKyRJddWzvJ9G0aUdxBRci0LfaG2s4uO7No4l22r0ulNwbWvbheU1Sh7dsEfZ\nt/E2Kdtm24nvWKuVMNdGQBgMhuHkuikDqnoGeNna9SLyo8ArReTPgDuAh/qOaYtIUUQqZD4DD+bH\n1FR1WURu4nyn/wUReRHZFMPQTxFsBtdeP4vcCiNlj0bJXTcZkUk1u7sYr/iMlb1LJqa6FJtpJ75j\nc+NUddtNjRgMhqtnED3Eu4A/Bt4I3K2qoYjcAdypqr8N/CzwITLLwXfmx/yRiIyQ+Q7823zdLwDv\nBorAT2+h/ANlvSxy/Vzpy9+wc7mebSGzhly30xsMhi1my5WBfAT/DWvW3Qfcly/fw5rIAFX9xnXO\ncwJ4xfWT1GAwGAyG3cH2mug0GAwGg8Gw5ZiJZIPBYDBsGaZs8fbEWAYMBoPBYNjlGMuAwWAwGHY1\npmiRsQzsGNbWMjAYrpQ0VXQztZANBsOOw1gGdgBnlnrMNAPKvr2tcuMbhofFTsiJhS6ubXFsooyz\nzZIoGQxbxYqVYLdZCMx//A4gK3ML7SAhTkw5YsOVs9yNUYUwTumZktYGw67DWAZ2AJNVn7PNHrWC\ni2NbhHHKuWaPgmszXvEHLZ4hZ+W5FF2bsW32XMYqHt0ooeBalNdJdW0wPBtMBMH2xygDO4CRssdI\n+XwpwjNLvdxaEFH2nHXrGBi2ntNLXZa7MQtElH1nW6XyLfvOpkpjGwyGnYmZJtiBeE72WEUurGlv\nGCwrxYwsyzwXg8GwvTCWgR3IdL1AKa9Wt6IYGAbPnnqBSsHBd7ZflUODwbC7McrADqVWcActgmEN\nImKei8EwJOy23ANGGTAYDAbDNWG3daA7CaMMGAwGg+GaYyIIhostn7gUkaqI/IWIfEpEvmOd7a8Q\nkU+LyL0isj9f9x4R+Wi+/r583VtE5P58/Y9u9e8wGAwGg2GnMAjLwPcA78n/7hWR96hq2Lf9p4BX\nA7cAPw58v6q+DkBEXgPc2bfvm1T1nq0Re3g51+zR7MVMVn2qZs56RzDfDlnohIyWLgwrNRgMhqth\nEC7NLwQ+pKoJcD9w88oGESkBXVVtqupngOeuOfY1wHv7vr9NRO4RkTuut9DDSpyknF0K6AQJp5d6\ngxbHcI04tdilEyScWuoOWhSDwbADGIRloAEs58tL+ff1tgGsZmURERe4TVU/n696h6q+RURuAH4H\n+Lq1FxKRNwBvADh48OA1+wHDhG0JBdeiF6WUfeMislMo+w6tXkzZM8/UYLje7AbHyOv2JhGRabKp\ngH7OkCkANaCXfy72bV/ZtkLSt/wy4KMrX1R1Pv98RGT9BC6qejdwN8Bdd921K8uxiQjHJiqESbqt\nMt4Znh2Hx0oEcYpv8kgYDIZrwHVTBlT1DFkHfgG5s98rReTPgDuAh/qOaYtIUUQqZD4DD/Yd+hr6\nlAsRqanqsoiMY6IiNsSyhIJlFIGdhIgY5c6wbdhNkQM71UowiE70XcAfA28E7lbVMJ/zv1NVfxv4\nWeBDZJaD7wSQbOj/IuAH+s7zdhG5lczv4c1bKL/BYDAYDDuKLVcGVHUZ+IY16+4D7suX7wHuWbNd\nga9as+57r6+kOxdV5dRSjyhO2dsompTFQ8LZ5R6dMGG6VjDFpwwGwzXFmNd3Icu9mPlWFs15rtlj\n/0hpwBIZLkcvSji3HABwWrscnagMWCKDwbCTpgyMMrALKbgWlgVpivFGHxJc28J1hChWExViuC7s\npnn/rWKYlAXzVtmF+I7NjVNVklSNE9qQYFvCDZNVIhMVYrgMV9oBGSXg2jBMHf96GGVgl+LaFqZP\nGS5sS7BNVMiu4VKdy7B3OruBrVawrkWbkMw3b+cjIjNAG5gdtCwDZhxzD67VPXg+8PnL7nV9rr2V\nDKPMMJxyX02bulYM4/0yMm/MIVWd2MyOu0YZABCRz6rqXYOWY5CYezDYezCM938YZYbhlXtQDOP9\nMjJfO0xMmcFgMBgMuxyjDBgMBoPBsMvZbcrA3YMWYBtg7sFg78Ew3v9hlBmGV+5BMYz3y8h8jdhV\nPgMGg8FgMBguZrdZBgwGg8FgMKzBKAMGg8FgMOxyjDJgMBgMBsMux2Qg3AWISAVoAIuq2hq0PIbt\njYg4wM3kbQZ4SFXjwUq1efKS51PAjKomg5bHcO0Y5ra53dvljrYMiMheEflFEXmriBzpW//Tg5Rr\nqxCRV4jIvcAfAT8P/JGIfEREXjVg0bYMEXm5iHxMRO4Vkdf1rX/fFlz7dfnnQRH5HyLyCRH5gIjc\ncr2vfbWIyL8BPgx8D/BP8897ROQ7BirYZRCRt+afrwA+B/wK8BkR+eaBCraNGbb2OYxtc6japaru\n2D/gQ8ArgX+SL39bvv4jg5Zti37/J4HSmnVl4FODlm0L78GngBpQAN5KFtbjAvduwbU/kn/+L+Al\n+fJNwMcGfV82kPkT5FFGfets4JODlm2T9/qjwHi+XAQ+PWjZtuvfsLXPYWybw9Qud7RlAPBV9cOq\n+jEyTfIuEfklsga0GwiA561ZdxvQG4Asg0JUdVlVe6r6ZuCv87/RLbh2UUSOkr0EPgWgqg+zvS1y\nC8DrRGRcRDwRGQf+Zb5+O7NXRP4vYExVZwFUtQuY2OlLM2ztcxjb5tC0y+360K8ViyJyCEBVU1X9\nEeBB4AWDFWvL+HbgW/OpgY+KyEeA1wHb1qx2HfiblTYAoKrvB94EnN6Caz8E/BTwsIg0AESkyvZ+\nef1rYBr4b8Bf5J978vXbmZ8HEuAXRaQGq/f6bwYq1fZm2NrnMLbNoWmXJumQwWC4iPyF1QAWdIic\nTo2z7M5nGNvmMLTLXakMiMh3qervDlqOQSEi71DVHxy0HINERH5VVX/oOl9jL/ATwC1kU1MJmWXq\nrap64npe+2oRkVcCPwksA0tAHagCP6eq9wxSto3IHbR+ikzuZTI/kSrws6r64UHKtl0ZtvY5jG1z\nmNrlblUGblfV+wctx1YgIncCL+J8KM7fq+pnByvV1jKoeyAiHwberKr/0Lfua4CfV9VXXu/rXw0i\n8kng1ara6VtXBj6oqi8ZnGQbM6xyD5Jha5/D+IyHSead7jOAiDgicquIfG3+6ewiReC/Av83cAr4\nNHAS+C4R+ZWBCraFDPgeFIEvrVn3pXz9dmVYnU6HVe5BMmztcxif8dDIvKMtA3lc6ncD93HeRHM7\n8Nuq+geDlG0rEJGPq+pLN7t+JzLIeyAiLyczEXbI2l+dLMTx57abiXAFEdkDvJnshWUBKfAF4O2q\nenKQsm3EsMo9SIatfQ7jMx4mmXe6MvAJ4KXa9yNFxCaLo/3awUm2NYjIL5PlFfgQ55WhVwKBqv7w\nIGXbKrbDPRCRItkUxVK/udBg2A6Y9mmAnT9NMIxxqdcMVf1R4DeACeBOYBK4e7coArA97oGqdlX1\n9MqLVkS+a6uufa0QkXcMWoarYVjl3kqGvX0O4zPejjLvdMtAhSxl5Qs57zz2abJpguYgZTPsXra7\nA+uwOp0Oq9zbje3cPofxGQ+LzDtaGViLiPyJqn7roOUw7B5kyAqr5A6XPnAPWfhWDXgVEG1ni9Kw\nyj1ohql9DuMzHiaZd1vVwqlBC2DYPVzKgVVEtrMD653rOFa+T0Q+PhBpNs+wyj0whrB9DuMzHhqZ\nd5syYDBsJW/gEg6swHZ82QJ8VkR+k4sdLj8/UKkuz7DKPUiGrX0O4zMeGpl32zTBR1T1FYOWw7A7\nEJEPAH/ChS+CV5FVz/zGQcq2ESLyVZz3s1kiq7D2j4OV6vIMq9yDYhjb5zA+42GRebcpA/eq6ssH\nLYdhd2AcWA3bGdM+Df3sNmVgSlXPDloOw+7EOLAatjOmfe5udnqegQswioBhwBgHVsN2xrTPXcyu\nUgYMBoPBYDBcjFEGDAaDwWDY5RhlYJsgImMicl/+d0ZETvZ9967gPH8oIv/iCvb/mb5rPSgi/2oT\nx3yTiNy82WsYVpFBC2AwbIBpn7sYk2dgm6Cqc8AdACLyFqClqr+4RZd/u6r+St7Bf0ZE/lxVkw32\n/yay6lsPbfYCeenobZnZbAt53aAFMBg2wLTPXYyxDAwBIvKdIvK/89H7r4uIJSKOiPyBiDwgIl8U\nkR9c57j/JCL/kG//DRHZUPNX1YeAiKyUKSJyg4j8rYh8TkQ+LiI3isjXAf8n8F9zeQ6LyCdFZEWR\nmRaRR/Pl7xaR94vIvcDfisirROTDIvJeEXlYRN7dJ+vbc8vEF0Tkbdfs5m0jjAOrYTtj2ufuxlgG\ntjkicivwGuDFqhqLyN1kGvxjwLiq3pbv11jn8F9V1Z/OlYA/Bv4P4P/b4FpfDXxRVefzVXcD362q\nj4nIS4B3quqrReSvgf+pqu/Pj9voJ3wVcIeqLojIq4DnA88FzgJ/LyIvBJ4gUzCeq6p6id9iMBgM\nhuuEUQa2P68CvposrSVAEXgG+FvgprwU5l8BH1zn2FeKyI8BBWAc+BzrKwM/JiJvAG4g65RXlIsX\nAn/e19lfTXv5oKr2l4z+e1U9lV/jPuBwLlcK/JaI/BXwl1dxHYPBYDBcJWaaYPsjwO+o6h35302q\n+l9yH4PnAZ8Avh/4zQsOEikB7wReo6rPA36HTClYj7er6i3Aa4HfFhE/v+5s33XvUNVbL3F8zPm2\ntPYa7TXfg77lBHBUNQLuAt4P/Asy5cZwHRGRioj8dxF5TEQ+n08FfU++7bCIqIj8TN/+4yISicg7\n1znX60VkJp82ekhEfmQT13+ZiLz42v4qw1YiIkmfk/N9InL4WZzr90TkWy6x/on8/PeLyCs3ca7X\ni8jeq5Vlt2KUge3PPcC/EpFxWI06OCgiE2QZJP8H8P+Smd/7KZKNtmdFpAp88+UupKrvBR4Avj0f\nzZ8Wkdfk17VE5PZ81yZQ7Tv0SeDOfPmif+jLkctXU9W/BH6EbGrBcH15F7AA3KCqzyebQhrt2/4E\n8PV93/8l8KUNzvenqnoH8BLgP4rIgctc/2XAFSkDkpXbNWwfumsGC09u5qCreI4/lretHwZ+YxP7\nvx64ImXAtC2jDGx7VPUB4D8B94jIF8imA6aAA8DHc1P77wI/sea4OeD3gQfJpgY+s8lL/mfgTbmf\nweuA7xOR+8k6gm/I9/kT4Cf6RgNvB35IRD4PjFzFz6wDf5Vf52PAj17FOQybRESOAV8D/KSqpgCq\nOqOq/Y6bHeDLInJX/v21wJ9d7tx5u3sU2JNfa0JE/jx3ZP0HEXlJ3ma+D/iRvA193dqRoYi08s+X\nicgnJCuq82ButfiyiPyWiHxJRD4oIsV83x/sc0J9z7O6SYarQkQKIvK7kjk2/6OIvDxf/3oR+YCI\nfAT4sGS8M3ckvgeY3MTpPw3s67vWnSLysdyq9bcisidvQ3cBf5S3raKIPNk3mLpLRD6aL79FMifs\nTwF/kMv4XhH5GxF5RER+Id/PztvnF/PfdVnL11CiqubP/Jm/XfQH/HPgfRtsPwx8Md/vF8kUzw+T\njbjeuc7+q+uBg8B9QCH//sfA1/Zt+3K+/Bbg3/Wd4/eAb+n73so/X0Y21XSkT7aYzCkVMgXl2/Pl\nU4CfLzcGfZ93+h/ZNN99+d/78nVvIpvWBLgZeJps6vD1wAlgNN/2TWTVEm2yUfxi//Nfr12QTSH+\ncb7sAn8HTOTfX9t33Y8Cd/Wd40kyZ2vIFIWP9rXBzwHFvnb8ONngpAA8lbf9O4EP9Z1vR7atXW8a\nMRh2OyLyH8mmASZVtd+8+jfAfyGL/PjTy5zmtSLyUrIO4AdUtZevfxVwi5x3Qq1JVi3vSvjfqvpE\n3/cnVPW+fPlzZAoCwBfIRoTvJ/M/MVxfupqZ7/v5WuDXIAtVFpGngBvzbR/S85FKLwX+RLN8Jqdy\ni8GleLuI/BywH3hRvu4m4FbgQ3nbsoHTV/EbPqCq3b7vH1bVJQAReRA4RGYVPSoiv8alnbWHHjNN\nYDDsPh4EbhcRC0BVfzZ/qdf6d1LVkKyzfRPwPy9zzj/VzFH1xcBbRWQ6X28BL9Tz88r7VLW1zvGr\nTqi5XP1ZNy/rhJovfz3w38j8Z/7BzANvO9Y+x83yY6p6I/AfyByhIXNw/lJfu7pNVV99ieOfrYPz\nAnA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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "** It looks like Ford and GM do have some sort of possible relationship, let's plot just these two against eachother in scatter plot to view this more closely!**" + ] + }, + { + "cell_type": "code", + "execution_count": 229, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 229, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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1Ds+bqcWI9LQTW8lKgp4M3QrR5Bo9wa3kpLzWJ/DqcFgj99voAo6VntjPjM3z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BHYBpykNL3KZTMbpTSNygPl7R4A/m9K06v8lXPud8vP/2dKzbaO0vQsn6j0+TOzR4Cf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\nCvyXJY75Befcmyn1u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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "____\n", + "## Cumulative Daily Returns\n", + "\n", + "Great! Now we can see which stock was the most wide ranging in daily returns (you should have realized it was Tesla, our original stock price plot should have also made that obvious).\n", + "\n", + "With daily cumulative returns, the question we are trying to answer is the following, if I invested $1 in the company at the beginning of the time series, how much would is be worth today? This is different than just the stock price at the current day, because it will take into account the daily returns. Keep in mind, our simple calculation here won't take into account stocks that give back a dividend. Let's look at some simple examples:" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Lets us say there is a stock 'ABC' that is being actively traded on an exchange. ABC has the following prices corresponding to the dates given" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + " Date Price\n", + " 01/01/2018 10\n", + " 01/02/2018 15\n", + " 01/03/2018 20\n", + " 01/04/2018 25" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Daily Return** : Daily return is the profit/loss made by the stock compared to the previous day. (This is what ew just calculated above). A value above one indicates profit, similarly a value below one indicates loss. It is also expressed in percentage to convey the information better. (When expressed as percentage, if the value is above 0, the stock had give you profit else loss). So for the above example the daily returns would be" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + " Date Daily Return %Daily Return\n", + " 01/01/2018 10/10 = 1 - \n", + " 01/02/2018 15/10 = 3/2 50%\n", + " 01/03/2018 20/15 = 4/3 33%\n", + " 01/04/2018 25/20 = 5/4 20%" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Cumulative Return**: While daily returns are useful, it doesn't give the investor a immediate insight into the gains he had made till date, especially if the stock is very volatile. Cumulative return is computed relative to the day investment is made. If cumulative return is above one, you are making profits else you are in loss. So for the above example cumulative gains are as follows" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + " Date Cumulative Return %Cumulative Return\n", + " 01/01/2018 10/10 = 1 100 % \n", + " 01/02/2018 15/10 = 3/2 150 %\n", + " 01/03/2018 20/10 = 2 200 %\n", + " 01/04/2018 25/10 = 5/2 250 %" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The formula for a cumulative daily return is:\n", + "\n", + "$ i_i = (1+r_t) * i_{t-1} $\n", + "\n", + "Here we can see we are just multiplying our previous investment at i at t-1 by 1+our percent returns. Pandas makes this very simple to calculate with its cumprod() method. Using something in the following manner:\n", + "\n", + " df[daily_cumulative_return] = ( 1 + df[pct_daily_return] ).cumprod()\n", + " " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "** Create a cumulative daily return column for each car company's dataframe.**" + ] + }, + { + "cell_type": "code", + "execution_count": 179, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 181, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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OpenHighLowCloseVolumeTotal TradedreturnsCumulative Return
Date
2012-01-0328.9429.5027.6528.0892805226857824.88NaNNaN
2012-01-0428.2128.6727.5027.7163003617773315.56-0.0131770.986823
2012-01-0527.7627.9326.8527.12100543227910792.32-0.0212920.965812
2012-01-0627.2027.7926.4126.8968708118688603.20-0.0084810.957621
2012-01-0927.0027.4926.1227.2589695124217677.000.0133880.970442
\n", + "
" + ], + "text/plain": [ + " Open High Low Close Volume Total Traded returns \\\n", + "Date \n", + "2012-01-03 28.94 29.50 27.65 28.08 928052 26857824.88 NaN \n", + "2012-01-04 28.21 28.67 27.50 27.71 630036 17773315.56 -0.013177 \n", + "2012-01-05 27.76 27.93 26.85 27.12 1005432 27910792.32 -0.021292 \n", + "2012-01-06 27.20 27.79 26.41 26.89 687081 18688603.20 -0.008481 \n", + "2012-01-09 27.00 27.49 26.12 27.25 896951 24217677.00 0.013388 \n", + "\n", + " Cumulative Return \n", + "Date \n", + "2012-01-03 NaN \n", + "2012-01-04 0.986823 \n", + "2012-01-05 0.965812 \n", + "2012-01-06 0.957621 \n", + "2012-01-09 0.970442 " + ] + }, + "execution_count": 181, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 182, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "** Now plot the Cumulative Return columns against the time series index. Which stock showed the highest return for a $1 invested? Which showed the lowest?**" + ] + }, + { + "cell_type": "code", + "execution_count": 183, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 183, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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/LCYDiuwmPSMaDKd/Ut/Z74cvGIHTYoJNLaNkIDp6pJS4+8Xd2K7OhgWUjKjD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\nPvkZ7fD5iQfMNc3Oz+as/wwgKbITI89/nBkrN3P7v3/m+StP4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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Great Job!\n", + "\n", + "That is it for thsi very basic analysis, this concludes this half of the course, which focuses much more on learning the tools of the trade. The second half of the course is where we really dive into functionality designed for time series, quantitative analysis, algorithmic trading, and much more!" + ] + } + ], + "metadata": { + "anaconda-cloud": {}, + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.6.1" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} diff --git a/07-Projet-Analyse-Boursière/.ipynb_checkpoints/Projet Analyse Boursière-checkpoint.ipynb b/07-Projet-Analyse-Boursière/.ipynb_checkpoints/Projet Analyse Boursière-checkpoint.ipynb new file mode 100644 index 0000000..41c848f --- /dev/null +++ b/07-Projet-Analyse-Boursière/.ipynb_checkpoints/Projet Analyse Boursière-checkpoint.ipynb @@ -0,0 +1,2015 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Projet d'Analyse Boursière\n", + "\n", + "### Remarque: Vous êtes libre de considérer ceci comme un exercice complet ou simplement de voir la vidéo des solutions comme une revue de code pour le projet. Ce projet est conçu pour être assez stimulant car il introduira quelques nouveaux concepts par le biais de quelques astuces !\n", + "\n", + "Bienvenue à votre premier projet! Ce projet est destiné à couronner la première moitié du cours, qui a principalement porté sur l'apprentissage des bibliothèques que nous utilisons dans ce cours, la deuxième moitié du cours traitera beaucoup plus des techniques financières et des plateformes de trading quantitatif.\n", + "\n", + "Nous analyserons les données sur les actions de quelques compagnies automobiles du 1er janvier 2012 au 1er janvier 2017. Gardez à l'esprit que ce projet est principalement fait pour pratiquer vos compétences avec matplotlib, pandas et numpy. Ne déduisez pas des conseils de trading financier de l'analyse que nous faisons ici !\n", + "\n", + "### Partie 0: Importations\n", + "\n", + "**Importez les différentes bibliothèques dont vous aurez besoin - vous pouvez toujours revenir ici ou importer au fur et à mesure :)**" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "____\n", + "## Partie 1: Obtenir les données\n", + "\n", + "### Action Tesla (Ticker: TSLA sur le NASDAQ)\n", + "\n", + "**Note ! Tout le monde ne travaillera pas sur un ordinateur qui lui donnera un accès complet pour télécharger les informations boursières en utilisant pandas_datareader (pare-feu, permissions d'administration, etc...). Pour cette raison, le fichier csv pour Tesla est fourni dans un dossier data à l'intérieur de ce dossier. Il s'appelle Tesla_Stock.csv. N'hésitez pas à l'utiliser avec read_csv !**\n", + "\n", + "**Utilisez pandas_datareader pour obtenir les informations historiques sur les actions de Tesla du 1er janvier 2012 au 1er janvier 2017.**\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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HighLowOpenCloseVolumeAdj Close
Date
2012-01-0329.50000027.65000028.94000128.08000092810028.080000
2012-01-0428.67000027.50000028.20999927.70999963010027.709999
2012-01-0527.93000026.85000027.76000027.120001100550027.120001
2012-01-0627.79000126.41000027.20000126.91000098630026.910000
2012-01-0927.49000026.12000127.00000027.25000089700027.250000
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" + ], + "text/plain": [ + " High Low Open Close Volume Adj Close\n", + "Date \n", + "2012-01-03 29.500000 27.650000 28.940001 28.080000 928100 28.080000\n", + "2012-01-04 28.670000 27.500000 28.209999 27.709999 630100 27.709999\n", + "2012-01-05 27.930000 26.850000 27.760000 27.120001 1005500 27.120001\n", + "2012-01-06 27.790001 26.410000 27.200001 26.910000 986300 26.910000\n", + "2012-01-09 27.490000 26.120001 27.000000 27.250000 897000 27.250000" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Autres entreprises automobiles\n", + "\n", + "**Répétez les mêmes étapes pour extraire les données pour Ford et GM (General Motors)**" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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HighLowOpenCloseVolumeAdj Close
Date
2012-01-0311.2510.9911.0011.1345709900.07.673051
2012-01-0411.5311.0711.1511.3079725200.07.790251
2012-01-0511.6311.2411.3311.5967877500.07.990177
2012-01-0611.8011.5211.7411.7159840700.08.072903
2012-01-0911.9511.7011.8311.8053981500.08.134951
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" + ], + "text/plain": [ + " High Low Open Close Volume Adj Close\n", + "Date \n", + "2012-01-03 11.25 10.99 11.00 11.13 45709900.0 7.673051\n", + "2012-01-04 11.53 11.07 11.15 11.30 79725200.0 7.790251\n", + "2012-01-05 11.63 11.24 11.33 11.59 67877500.0 7.990177\n", + "2012-01-06 11.80 11.52 11.74 11.71 59840700.0 8.072903\n", + "2012-01-09 11.95 11.70 11.83 11.80 53981500.0 8.134951" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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HighLowOpenCloseVolumeAdj Close
Date
2012-01-0321.18000020.75000020.83000021.0499999321300.016.299799
2012-01-0421.37000120.75000021.04999921.1500007856700.016.377232
2012-01-0522.29000120.95999921.10000022.17000017880600.017.167059
2012-01-0623.03000122.24000022.26000022.92000018234500.017.747812
2012-01-0923.43000022.70000123.20000122.84000012084500.017.685862
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" + ], + "text/plain": [ + " High Low Open Close Volume Adj Close\n", + "Date \n", + "2012-01-03 21.180000 20.750000 20.830000 21.049999 9321300.0 16.299799\n", + "2012-01-04 21.370001 20.750000 21.049999 21.150000 7856700.0 16.377232\n", + "2012-01-05 22.290001 20.959999 21.100000 22.170000 17880600.0 17.167059\n", + "2012-01-06 23.030001 22.240000 22.260000 22.920000 18234500.0 17.747812\n", + "2012-01-09 23.430000 22.700001 23.200001 22.840000 12084500.0 17.685862" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Partie 2: Visualisation des données\n", + "\n", + "**Il est temps de visualiser les données.**\n", + "\n", + "**Suivez et recréez les graphiques ci-dessous en suivant les instructions et les explications.**" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "____\n", + "\n", + "**Recréez ce tracé linéaire de tous les prix à l'ouverture des différentes actions! Astuce: Pour la légende, utilisez le paramètre label et plt.legend()**" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [], + "source": [ + "# Code ici" + ] + }, + { + "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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Intéressant, il semble que Ford ait eu un très gros pic fin 2013. Quelle était la date de ce volume d'échange maximum pour Ford ?**\n", + "\n", + "**Bonus: Que s'est-il passé ce jour-là?**" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Timestamp('2013-12-18 00:00:00')" + ] + }, + "execution_count": 14, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "____" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "*La visualisation du prix à l'ouverture des séries temporelles donne l'impression que Tesla a toujours eu beaucoup plus de valeur en tant qu'entreprise que GM et Ford. Mais pour vraiment comprendre cela, il faudrait regarder la capitalisation boursière totale de la société, et pas seulement le cours de l'action. Malheureusement, nos données actuelles n'ont pas cette information du nombre total d'unités d'actions présentes. Mais ce que nous pouvons faire comme simple calcul pour essayer de représenter l'argent total échangé serait de multiplier la colonne 'Volume' par le cours de l'action. Rappelez-vous que ce n'est pas encore la capitalisation boursière réelle, c'est juste une représentation visuelle de la quantité totale d'argent échangé en utilisant la série temporelle. (par exemple 100 unités d'actions à 10 dollars chacune contre 100 000 unités d'actions à 1 dollars chacune)*" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Créez une nouvelle colonne pour chaque dataframe appelée \"Total Traded\" qui est le prix d'ouverture multiplié par le volume négocié.**" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [], + "source": [ + "# Code ici" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Tracez ce total négocié (Total Traded) par rapport à l'index de temps.**" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [], + "source": [ + "# Code ici" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0, 0.5, 'Total Traded')" + ] + }, + "execution_count": 18, + "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": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Intéressant, il semble qu'il y ait eu une énorme quantité d'argent échangé pour Tesla début 2014. Quelle date c'était et que s'est-il passé ?**" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Timestamp('2014-02-25 00:00:00')" + ] + }, + "execution_count": 19, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "____" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Entraînons-nous à tracer des moyennes glissantes ou mobiles (MA - Moving Averages). Tracez MA50 et MA200 pour GM.**" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [], + "source": [ + "# Code ici" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 21, + "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": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "______" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Enfin, voyons s'il existe une relation entre ces actions car elles sont tous liées à l'industrie automobile. Nous pouvons le voir facilement à travers un diagramme de dispersion. Importez la matrice de dispersion de pandas.plotting et utilisez-la pour créer un diagramme de dispersion du prix d'ouverture de toutes les actions. Vous devrez peut-être réorganiser les colonnes dans un nouveau dataframe unique. Vous trouverez des conseils et des informations ici: https://pandas.pydata.org/pandas-docs/stable/visualization.html#scatter-matrix-plot**" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "_____\n", + "### Bonus: Tâche de visualisation ! (C'est difficile !)\n", + "**Créons maintenant un graphique en chandelier! Regardez la vidéo si vous ne parvenez pas à recréer cette visualisation, il y a plusieurs étapes à suivre! Référez-vous à la vidéo pour comprendre comment interpréter et lire ce graphique. Conseils: https://matplotlib.org/examples/pylab_examples/finance_demo.html**\n", + "\n", + "**Créer un graphique de chandeliers pour Ford en janvier 2012 (trop de dates, ce ne sera pas idéal pou pour un graphique de chandeliers)**" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [], + "source": [ + "# Code ici" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "____\n", + "# Partie 3: Analyse financière de base\n", + "\n", + "Il est maintenant temps de se concentrer sur quelques calculs financiers clés. Cela vous servira de transition vers la deuxième moitié du cours. Vous n'avez qu'à suivre les instructions, il s'agira principalement d'un exercice de conversion d'une équation ou d'un concept mathématique en code à l'aide de python et pandas, ce que nous ferons souvent lorsque nous travaillerons avec des données quantitatives! Si vous vous sentez perdu dans cette section, ne vous inquiétez pas! Allez simplement au notebook (ou vidéo) sur les solutions et traitez-la comme une revue de code, utilisez le style d'apprentissage qui vous convient le mieux!\n", + "\n", + "Commençons !\n", + "____" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Rendement quotidien en pourcentage\n", + "Nous commencerons par calculer la rendement quotidienne en pourcentage. Le rendement (en %) est défini par la formule suivante :" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "$ r_t = \\frac{p_t}{p_{t-1}} -1$" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Cela définit r_t (rendement à l'instant t) comme étant égal au prix à l'instant t divisé par le prix à l'instant t-1 (la veille) moins 1. En gros, cela vous informe simplement de votre pourcentage de gain (ou de perte) si vous avez acheté l'action le jour et l'avez ensuite vendue le lendemain. Bien que cela ne soit pas nécessairement utile pour tenter de prédire les valeurs futures du titre, c'est très utile pour analyser la volatilité du titre. Si les rendements quotidiens ont une large distribution, le titre est plus volatil d'un jour à l'autre. Calculons les pourcentages de rendement, puis traçons un histogramme et décidons quel titre est le plus stable!" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Créez une nouvelle colonne pour chaque dataframe appelée 'returns'. Cette colonne sera calculée à partir de la colonne de prix à la fermeture'Close'. Il y a deux façons de faire cela, soit un simple calcul en utilisant la méthode .shift() qui suit la formule ci-dessus, ou vous pouvez aussi utiliser la méthode pct_change intégrée à pandas.**" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [], + "source": [ + "# Méthode 1: en utilisant shift" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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HighLowOpenCloseVolumeAdj CloseTotal Tradedreturns
Date
2012-01-0329.50000027.65000028.94000128.08000092810028.0800002.685921e+07NaN
2012-01-0428.67000027.50000028.20999927.70999963010027.7099991.777512e+07-0.013177
2012-01-0527.93000026.85000027.76000027.120001100550027.1200012.791268e+07-0.021292
2012-01-0627.79000126.41000027.20000126.91000098630026.9100002.682736e+07-0.007743
2012-01-0927.49000026.12000127.00000027.25000089700027.2500002.421900e+070.012635
\n", + "
" + ], + "text/plain": [ + " High Low Open Close Volume Adj Close \\\n", + "Date \n", + "2012-01-03 29.500000 27.650000 28.940001 28.080000 928100 28.080000 \n", + "2012-01-04 28.670000 27.500000 28.209999 27.709999 630100 27.709999 \n", + "2012-01-05 27.930000 26.850000 27.760000 27.120001 1005500 27.120001 \n", + "2012-01-06 27.790001 26.410000 27.200001 26.910000 986300 26.910000 \n", + "2012-01-09 27.490000 26.120001 27.000000 27.250000 897000 27.250000 \n", + "\n", + " Total Traded returns \n", + "Date \n", + "2012-01-03 2.685921e+07 NaN \n", + "2012-01-04 1.777512e+07 -0.013177 \n", + "2012-01-05 2.791268e+07 -0.021292 \n", + "2012-01-06 2.682736e+07 -0.007743 \n", + "2012-01-09 2.421900e+07 0.012635 " + ] + }, + "execution_count": 29, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [], + "source": [ + "# méthode 2: en utilisant pct_changes" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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HighLowOpenCloseVolumeAdj CloseTotal Tradedreturns
Date
2012-01-0329.50000027.65000028.94000128.08000092810028.0800002.685921e+07NaN
2012-01-0428.67000027.50000028.20999927.70999963010027.7099991.777512e+07-0.013177
2012-01-0527.93000026.85000027.76000027.120001100550027.1200012.791268e+07-0.021292
2012-01-0627.79000126.41000027.20000126.91000098630026.9100002.682736e+07-0.007743
2012-01-0927.49000026.12000127.00000027.25000089700027.2500002.421900e+070.012635
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" + ], + "text/plain": [ + " High Low Open Close Volume Adj Close \\\n", + "Date \n", + "2012-01-03 29.500000 27.650000 28.940001 28.080000 928100 28.080000 \n", + "2012-01-04 28.670000 27.500000 28.209999 27.709999 630100 27.709999 \n", + "2012-01-05 27.930000 26.850000 27.760000 27.120001 1005500 27.120001 \n", + "2012-01-06 27.790001 26.410000 27.200001 26.910000 986300 26.910000 \n", + "2012-01-09 27.490000 26.120001 27.000000 27.250000 897000 27.250000 \n", + "\n", + " Total Traded returns \n", + "Date \n", + "2012-01-03 2.685921e+07 NaN \n", + "2012-01-04 1.777512e+07 -0.013177 \n", + "2012-01-05 2.791268e+07 -0.021292 \n", + "2012-01-06 2.682736e+07 -0.007743 \n", + "2012-01-09 2.421900e+07 0.012635 " + ] + }, + "execution_count": 31, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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HighLowOpenCloseVolumeAdj CloseTotal Tradedreturns
Date
2012-01-0311.2510.9911.0011.1345709900.07.6730515.028089e+08NaN
2012-01-0411.5311.0711.1511.3079725200.07.7902518.889359e+080.015274
2012-01-0511.6311.2411.3311.5967877500.07.9901777.690521e+080.025664
2012-01-0611.8011.5211.7411.7159840700.08.0729037.025298e+080.010354
2012-01-0911.9511.7011.8311.8053981500.08.1349516.386011e+080.007686
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" + ], + "text/plain": [ + " High Low Open Close Volume Adj Close Total Traded \\\n", + "Date \n", + "2012-01-03 11.25 10.99 11.00 11.13 45709900.0 7.673051 5.028089e+08 \n", + "2012-01-04 11.53 11.07 11.15 11.30 79725200.0 7.790251 8.889359e+08 \n", + "2012-01-05 11.63 11.24 11.33 11.59 67877500.0 7.990177 7.690521e+08 \n", + "2012-01-06 11.80 11.52 11.74 11.71 59840700.0 8.072903 7.025298e+08 \n", + "2012-01-09 11.95 11.70 11.83 11.80 53981500.0 8.134951 6.386011e+08 \n", + "\n", + " returns \n", + "Date \n", + "2012-01-03 NaN \n", + "2012-01-04 0.015274 \n", + "2012-01-05 0.025664 \n", + "2012-01-06 0.010354 \n", + "2012-01-09 0.007686 " + ] + }, + "execution_count": 33, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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HighLowOpenCloseVolumeAdj CloseTotal TradedMA50MA200returns
Date
2012-01-0321.18000020.75000020.83000021.0499999321300.016.2997991.941627e+08NaNNaNNaN
2012-01-0421.37000120.75000021.04999921.1500007856700.016.3772321.653835e+08NaNNaN0.004751
2012-01-0522.29000120.95999921.10000022.17000017880600.017.1670593.772807e+08NaNNaN0.048227
2012-01-0623.03000122.24000022.26000022.92000018234500.017.7478124.059000e+08NaNNaN0.033829
2012-01-0923.43000022.70000123.20000122.84000012084500.017.6858622.803604e+08NaNNaN-0.003490
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" + ], + "text/plain": [ + " High Low Open Close Volume Adj Close \\\n", + "Date \n", + "2012-01-03 21.180000 20.750000 20.830000 21.049999 9321300.0 16.299799 \n", + "2012-01-04 21.370001 20.750000 21.049999 21.150000 7856700.0 16.377232 \n", + "2012-01-05 22.290001 20.959999 21.100000 22.170000 17880600.0 17.167059 \n", + "2012-01-06 23.030001 22.240000 22.260000 22.920000 18234500.0 17.747812 \n", + "2012-01-09 23.430000 22.700001 23.200001 22.840000 12084500.0 17.685862 \n", + "\n", + " Total Traded MA50 MA200 returns \n", + "Date \n", + "2012-01-03 1.941627e+08 NaN NaN NaN \n", + "2012-01-04 1.653835e+08 NaN NaN 0.004751 \n", + "2012-01-05 3.772807e+08 NaN NaN 0.048227 \n", + "2012-01-06 4.059000e+08 NaN NaN 0.033829 \n", + "2012-01-09 2.803604e+08 NaN NaN -0.003490 " + ] + }, + "execution_count": 34, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Maintenant, tracez un histogramme des rendements de chaque entreprise. Soit vous les faites séparément, soit vous les empilez les uns sur les autres. Quelle est l'action la plus \"volatile\"? (selon la variance des rendements quotidiens, nous discuterons de la volatilité de façon beaucoup plus détaillée dans les prochaines sections).**" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 35, + "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": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Essayez aussi de tracer un KDE au lieu dun 'histogrammes pour avoir un autre point de vue. Quelle action a le tracé le plus large?**" + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 39, + "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": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Essayez aussi de créer des diagrammes en boîtes comparant les rendements.**" + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 40, + "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": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Comparaison des rendements quotidiens entre les actions\n", + "\n", + "**Créez un graphique matriciel de dispersion pour voir la corrélation entre les rendements quotidiens de chaque titre. Cela permet de répondre à la question de savoir dans quelle mesure les sociétés automobiles sont liées entre elles. Le marché considère-t-il Tesla comme une entreprise de technologie plutôt que comme une entreprise automobile ?**" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Il semble que Ford et GM aient une sorte de relation, traçons juste ces deux-là dans un diagramme de dispersion pour voir cela de plus près !**" + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 42, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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m2LrNtdeTDMUKIbaE2zG0stpjrDQ0uN5Dh0ud33ILHFYzDFzbtPjadHbdhzgHprI88eJlnnzpKk+8eJmBqey6PG+jaLRFJtvZZi/SagRSsRNCNLzz4/M88+owhlLVsLTeQytrHb5ZqWKzno2FV3N+qxlerTQtNpQi1JpH7+1dt/dXKijidtrsRVqNQCp2QoiGdn58nq88e46zo/NcmMji+MG6TeyvVMDSefeWFjmsVLG51YrOWlub1DOxv/a593Ym6WmJ8fzZ8XWrjEoFRdxOjbbAZjNsnwgrhNhyil7AM68OYxqK7lQMNwg4P57lzp2puif2187tAqp/Hk8XqhWwStDoaWkHFla3ah+z3PEqx7AMhR9qLEORcwNA05m89SG6tbY2qWdi/+Lntk2D+YLHTM5hd3vils4bpIIibr/tPu9RfrKEEA0r5/goIGqXmulGLJN0wSPUuq5gUDt8mXN8tIZUzEIBWcdnR2uMRMTE8ULeGErT15GgNR6pho96ertVjjGZKXL5eo4drVEGp/OEWhOzTe7e1coXP9R/S0Obaw1H9Vzgap877/qcGpil6AV88+UhHntwzy0PycrKUbEZGmmBze0mQ7FCiIaVjFrEIxZHdqZw/ICpTJEw0Hzmgb6690VNRi16WmJcnsxxZSpHT0sMyzQ4PTjLz67O8NLlaV4bmmNHW5TZvFsdvlmqt9vTp4cZnSvc0KcuahmMpR1iEZPXh9KkCx4FL6QjEeHKVI6nTw8vObRZz44Vo3N5ZnIuj97bu6bhpXqGiU8e20067/Kji1MAfORwN20Je92GvG/3jhCwvfuYie1tUyt2SqlHgX8NmMCfaq3/+aLbo8B/AB4EpoHPaq0HlFIfB/45EAFc4P/UWn+v/JjvA7uAQvlpPqG1vn4bXo4QYp3VVnsO70iigc880Ldgw/rl1A4x5hwPw1AowPFDklGL6axLeyJCW9wmXfAYn/P4vz55FNMwluztlnd9Xr46Q94LSNgWjxztYUdrDC8IiUesaoXOC0NitolSYBgK01Dk3eCGYdN6dqx46qUB3hqbB+Ce3a187n376E5F1314qb87xeMn9pP3AvZ1JrHN0u/869nL7nZWULZ7HzOxvW1asFNKmcBXgY8Dw8ArSqnntNZv1dztN4FZrfUhpdTngD8EPgtMAf+j1npUKXUv8AKwp+Zxn9dan7otL0QIsaHWOl+mdogxYpmEoQYgahmk8y6dSRvHD3lzJA1AS9RkdK7AsX2d1eeoPN42DU4NzBKzTVJRi9euzfHy1Wke3NdBwQtIRS0MpSh6AbZhEIa6tMI01AShJhExq8OmRS9gJufw9OkR2hL2kitFi17A06eHuTKVozsVA6W5PJnjL18f47c/dmjJ92AtfeJqH9OZjNAas8m7784V3Ipz4WQVrtjuNvMn9n3AJa31FQCl1LeAk0BtsDsJfKX8528D/1YppbTWr9Xc5xwQU0pFtdbOxp+2EOJ2W0u1p7ba5wUhB3uSaA2TmSIKxXv3djAwleNgTwrLVBTcgO++Pcldu9qqx6s8fr7gUfQCPnCwi7Mj86RiFqahiEVMin4pHO1qi3L5eo737m2rzrGbzbvcvauVxx4sDR1XKknzBY83R9J85HA3iYi15I4VeTfANBQRq1Q9M4yAvOffUEEregHvjKX57tuTaHTdFaqlqloP7m/nq9+7jBeG2IbBb3+svjC0ns2Hb9VW2kVDiI2wmcFuDzBU8/dh4MRy99Fa+0qpNNBFqWJX8Rjw2qJQ96RSKgCeBn5fa63X++SFEI2vty3Orxzfi+MHRC2DZMTCD0sLL94ZS/MHf/UOlmVAAA/1d+D44YIAUKkWzuQcvvnyEKZSBFqDVhhK0Z6I4AUhj5/YT9QybroqtraS1J6IcPF6llcGZnnk6M5quKrdsSIRMQlCjeuHoDRhqEnYFsmoVQ1SU1mHv3x9lJevzhCzTR7q7yAesVasUFUqglAKPoaCp0+PAJqHj/RgGAZhGHJ6cI7j/V03DUSNNuwpq3DFdreZn3S1xNcWB7Cb3kcpdQ+l4dlP1Nz+ea31iFKqhVKw+wKleXoLn1ipLwFfAti3b9/qzlwI0fAqgWMq63BpIsvBHaUebSeP7aYrFeWuXW2cONCFbSraygEt1P4NASBmm+xuT/DYg3t4+vQIeccnDDXH+zuqYaYzGbmhilYJkJWvL64kHe/v4EcXp7g2k6M1Zt+wY8VjD/aRKfoL5tg99uCeapuWohdw5tocR3pbyotMTM4MpfnonT3VVcDLBbJ3xtJ8//x1Mk5pYcGuthh72mO0xSPsqmlxUlmoUXmexZW5Rhz2lFW4YrvbzGA3DOyt+XsfMLrMfYaVUhbQBswAKKX6gP8C/JrW+nLlAVrrkfL/M0qpb1Aa8r0h2Gmt/wT4E4Djx49LRU+IJlKtSCkYmimQjFmMpR36OhILgsdjD+6ptipZKQD0tsV5/MRePny4i++/c5103sPzw+owa8VyFazFlaRExOLEgU4+80AfUdugMxm94XhfevgOHD8kapl0JiMAPPHi5WpFzzAVgzN5tAZ0qZqYLoeZ5SpURS/ghbMTzBcD4lETSxlMzDt4QchD+6PLVrqWel0tMbshhz23ex8zsb1tZrB7BTislDoAjACfA3510X2eA34d+Anwy8D3tNZaKdUOfAf4x1rrlyp3Loe/dq31lFLKBj4F/N3GvxQhtpfbPadqtcd7ZyzNy1dnsE2DkbkCh3pShFpjGAZe8O48tXoDQG2oyRZ9Aq3Lc9/eHVQoLYpwefr0MG2JCLZZWqTx9OkR/t5HDuCHutpCpVJJOnFHJ8+9fmMIXCpExWyT6axTDVJeEBKzTBwv4N6+Vt4azVD0ArxA89iDe5Z9LTnHxw1CetuipAs+bhgQas2B7iS/eG8vL16YuqHStVxl7osf7G/YYc/aSmnt31fSSPMFhViLTfvpK8+Z+x1KK1pN4M+01ueUUr8HnNJaPwd8DfhzpdQlSpW6z5Uf/jvAIeB3lVK/W/7aJ4Ac8EI51JmUQt2/u20vSoht4HbPqVrt8YpeaRFEzDaJR0xs0+DyVJb9nUnCMEShcPyAohdUF0nc7AJeG2ps0+CN4QmA6ty4Z8+MVgPbfNHjzeE09+5uZXCmQKA1M1mHqWyRrlQU2zR49N5eulNRLEPx1I8HlgxLyw1vLq76HelN8drgHGh4b18bjxzdUV38sZxKtS9qmezvjBCEmqIf0Nsa565dbdy1q+2GYLPcggQ/1Lc07LmRIWotn9PVPEYCoGhUm/prldb6r4C/WvS1f1Lz5yLwK0s87veB31/maR9cz3MUQrzrds+pWsvxco6PRvNQfwdnhtJ0JiMMz+TpTtlMzBfRGr7x8rW6L/YzOZf5okd7IoLjh5iGQgOuH5CM2kxlijzz6jA9LTFSUYuzw2n+7u3rHN3diqUV6YLP0EyBu3a14QUhz58dr1YJlwpLkxln2eHNrlR0QZCKWiZfOXlPtbdd5fXD8hWqm83fq53jV2upBQmVnoC9bfE1DXtu5C8Ia/ncrOYxjbZgRIham18vF0JsGWttJbHW6sZajlcJIfGIxUfv7CGddynsa+d/emgvz5SHSeu92A9MZXn69DBvDqe5OJHl/r1tBKEm1Bov1KQLLhowlKLg+pwZSuOHmpmcy+R8kWTMprc1imUZ1SBYOf/lVm/2tEQXfH2+4OIFIZZRGvatHT6urMJdvPftcmGj8n3obYvz5U8eZSbnAOqGxR+LLV6QkC36KAXfeHlwTcFmo39BWMvnpt7HNOKCESFqyZZiQoi61YYRoK45VQNTWZ548TJPvnSVJ168zMBUdkOPVwkhOcdnMlNEA599aC+tMRsNCy7cldWjS6lcwNsSET58uBuAn1yZoSNhky36fO/tCX5wfpITBzqxDINXBmaJ2gbdqSidqQi2YfChg11E7VJz5IhlLjj/2vOs3SasLRGpfv2t0TlePD9J3g146scD1fcuZptkih5P/XiAJ1+6yle/d4mnXhq46fZni78P4+kCu9sT7G6P1xVIKoHyV0/soyVms6cjUT3WarceWypE3ex7sVpr+dzU+5iNPnchbpVU7IQQdVttK4lbrW6stXXFUosiil6wqon+lQu4bRrE7FL1b2g6h2Upju5qrfZ6e3Nkng8f7ublq9OYRqm/3S/ctYOzo/NMZhzu6E6iFEuuvO3vTvHFD/YzmXHoaYnSlogs+Pofff8SHz3SQ1s8suC9Axa8r1OZIm+NzXOgp1Q1q93+rDVmL9j39laqTDG7NDdPo29pJexG95pby+em3sdInzzR6OSTKIRYldW0kliPXQDW2rpi8aKI1V7sk1GLbNHnjeEJTEMRhJrdbVES0Sit8Uj1fqNzefZ2xkuVO9OoNi1ORm0eP7G32sZkqfO/2VytypZebeVj1b53wIL3tRII5/Kl/W8r25/t60ziBSHPvDqMAnpaYjc812qHD9cj2NyOXnNr+dzU8xjpkycanQQ7IcSq1bvF13pVN9ZrA/nVXuxVuZtJpdGlbZlYhrrh9XQmozz2YN+CnniPPbiH3TXNfhcfa6lq5tOnR6phcPF7l66Zaxe1zQW3eUHIPbtb8YOQa9M5il7ARw53Y5sGtmmU9q3Vel2qTOsVbG5Hr7m1bkW3loqwEI1CyW5bpQbFp06d2uzTEKIprXUF4Ua1k1jqeZf62nTW4cmXrtLTEsP1AyKWyWSmyC8c3cGLF6aWfD2rOefK81fC33S2yA8vTnHfnjZa46WdKIBld8+o3FZ7Hr1t8er2Z20Juxrico5fHY5dr5Wclddau4BDAo4Qt4dS6rTW+viSt0mwk2Anto/VBI/1DFa1zwVLD0vW2qh2EufH56vDkvGIVQ1IT58eJu8GJCKlViD93SmKXsBXv3dxwfBqzvGrc9xu9hpKzYpvvuK06AXVXSRs0+C7by/sj1c5luMF/NH3L9GRiNBanmu30nks9/6td1hupLYf0ldObCc3C3YyFCvEFraai9lqLsLrfcGuDG/V87z1LrhY7YX8/Pg8X3n2HGZ5KPPIzhRPnx5hNu9ybSZfnUeXKfp8+ZNHGU8XyDo+50ZLvd7u3tXKFz/Uv2yvt9rjPPmjq1y6nsUwFEd6W3jsgT03NA6O2SaP3tvLM68O4/ghRS/gwzXDp7Xz6WzTqM7rs02D+YLHTM5hd3uiujBkOutU34vlhgrXa0gbGqvtRyMFTCE2mwQ7Ibao1XbJr/civFEX7Hqft54FF2vZjeKZV4cxTEV3KkbB9Tk7Ok9fR4y3xzLsaksQsQwKrs/rw3MMTmd5/uwEezoS9HenmMo65N2AjkTkpoHy/Pg8/+S/nmU0XSRmmbQnLH5wfpK3x+b5wB1d1Wpg5TU8f3acIAwpeD59HXFss9SBqjIHzjIUOddHUZrXl3d9Tg3MUvQCvvnyEI89uAe4cUi2vzu1riFuKeuxMGY9NFLAFKIRSLATYgta7cVsNRfhjbpg1/u8Ky24WOtuFIZSxCyT2bzDxLxDtugxm3PRaFClZsMD03kKjs+//8k1DDQ9Le1MZ4u8NTpPuuDyz/7qLeIRq3qOi+fXPfPqcLlXnolpKK5O5WmJW0QtE8s0bmhX4ngBZ0cyDM8WKHo+F69nOLa3g+5UlAf3t/PUjweq+9POFVzOj2eI2SYfOdxNPGLx9OkRQK/YdHkjhikbpe1HowRMIRqFNCgWYgtabZPU1TRsXeq+tfurrqQyLLj4vvWew3KNe2+2b+lKDWIrgebQjiRD03kcL8C2DB460I5lGIzN5nh1cJbprINpKmKm4vL1HNPZImeG0igFqajN8FyRy5M5elpiNzTmrYTHZNQi1BCEGi8I0SFErNI8vaIXcOV6lsuTWTJFl7fGMoyni7hBgB9qpuZLgeTx9+3l9OBcteFwX2eCqGlw9+5WHjm6k65UrBSmPL88N3D59+JWGkTfzErfp9tlLc2IhWhm8skXYgtabbVkNS0qFt835/h17696syHS2uedKu8I8ZkH+pY8h5u1k0hGLRSKqUyRtvKihnp3o/jmz67RnrBJxmzu39tOb1ucghvy6rU5gjAkYpmYSvH2eIYDPUkmMw7pgktbPMJdu1KcH88u2Ce2tjJkGaWWIod3JJnOOjEkWOQAACAASURBVFyeyuK4IYmIQX9Xgon5Aj+5NMUrAzNAKQCjIeOUtufyQg1+wE8uT/PG0NwN4dUyFSaq+nrzrk/CtoDl25hs9DBlI7T9kL5yQiwkwU6ILWg1F7Pa/UHrvQhXLtgzOZdvvjxY1/6q9YSI/u5UdcGAoRTPnx0nahlLBsXl5oiNpwtkit6CDex//YP9K17I+7tT/IOfO8QfsXCFaTJiE48Y9LTEiEcsUJrB6TxHdrbwD37+IF/70VVSUQvLKIUqQ6kbtgerrLadL/qcG04zNl+gLRqho9Mmahm8OZJGabAtg56WOCjNRLrI8FwBx/MJKYU3AzANxY8uTdMSsxYEtnjEqrYsmc46hFrzmQf6iFrGsp+DjRqmXDy0u9khqhECphCNQoKdEFtUPRezW1ktWNo+yrhhf9VbmZtX9AKePztOT0usrqC4VL+5Z8+M0teZ4EBPirm8ix+E9LbF63pNbYkIj79vH8+eGWV0Lo9tGnzinh2cGZqlty3G6FyBTNHH9cPyYoWAEwc6+aP/fpkQTRho7tiRWrA92OB0jq88ew7DVNiGgTIUtmlybF87aEXW8ehMRLBMmM55RKzSDJiWuM37O+OcHZnn+nwRHUI8ZrGrLYZlwvH+Dk4NzC4IbJXvXaVly/Nnxzl5bPdNq5vrPQ+uUVegNkLAFKIRSLATYgu72cVsPYbhVhMM6rlvveHvnbE0L5ybwA1CErbFYw/uob87dcPj2xMRrs3kmMm57G6vL9wtDsSD0zn8UDMxk2e+GJCwFYd3tnKgJ8XXfnSVC2OZ0hCtqTjamyJqmTx+Yj+dyQiOF/D//M15UIqeVIyM4zFX8LBNheOFGAquTuWYTTiYhsIyDOJ2qSoYhpp9HUl+7f39/NPvvIWpFMmYze62KOdGMtimiWUYfORwF3s7k3QmIzcNxl2p6A2vdbnKLrCgPUq9ZAWqEI1Pgp0QTWo9huGWCgaP3ttbnZy/2r1YVwp/A1NZnj49zIsXJknnPXrb40Qtg6zj8Y9+6eiCxxdcn1eqrT8GF7QSWdwguPJ+1A4dVvq/PX92nA8e6uKNoTRXJrNEbJP3H+gkEbE4O5LGtgy6UlHyrs+FiRx39aaIWgbj6QLf/Nk1zo6mmc17RC1FSyxCqDXdCRs/CLkylSMIQ+KWha9DhqbzFP2QhG1yz+7WamD9Z4+9h2deHSYIQ86NZLh/fzt9HUmGZ3P8v397kffubSMesXj4zm6KXqmRcuV7u9L3dHGQHU8XeOLFy6tqFVN57K18pqSBsBC3hwQ7IZpUPW1DVjPfLuf4TGWdm25LtdTw8OLjLBf+KtUgpWC+6BOPWqQLHns74pwZmmNsrsCBnhQnj+3m6dMjvHx1mpht8uHD3SQiVrVyNDid48kfXeHSZA5DKfo6YrTFI0u2KKkElb6OJF3JKMoAP4BkLEI672IaijDQnB2dwzQUrhfS2xrBMhTPnhmlIxGhIxElapkMzuTpbdV0xW3u7WvHNBTpgkfENOhIRUpz85TBwZ0p/t5H7mBXe7z6vh/pbeUffvwIwzN5njaH6etI4gUh58ezmIaiMxXDUPD0qyNcGMtg2QYxy+RIuYK40tBqbZBdTcVt8bDro/f2LvhMzdfsX3szjTp8K0QzkmAnRJO6WYha7YW2ctH/+k8HVzUMt9xxasMflIYFHT/AC0IipkEQagwFBTfg0mQWxwv4+ssDfOH9/fR3p3j8xF7miy47W+PVwDaXdzl1dZp/+bcXuJ5xiEcselujnB5Ms7czzs8f2UHO8Xn69Ai//bFDADh+UG3+m4hY3LenjdcG55jJFlEoupMRXh+eo+iXtl6MmQrbMsm5pUDY0xLjvXvbeH0oTUfC5vCOJJ9//372dyWZybl87UeXee3aHINTebwwJNSa/jBBa9xe8j1LlBdp5F0frTVFP6jOdQQ4P57hnt2tXJst4HgBrw3O8ZWT99RdAZvJOcwXPNoTpSrmzSpuS4XA58+OVxdwDExluXw9x6GdKZ768cCyn6FmGL6VaqPYSiTYiW2vmf/RXq6CttoLbdELGJ7JU3B9elpiwMo7Qigg6/js6UjccJyKwelctQKoUIzM5pnMugRhyOhckSAI6WqJsq8zSU8qVn18puhzYbwULCrbg2WKHv/yby8yni7i+Jp4RDM2XyQMQ+YLPt99awIN5D2fgzsSDE4Xqs1/s45HMlpqJPyVk/dQcH1eODfBtdkCOTekI2FjGIodLTGSERPHC/GCkPmCS3cqxn27QwamTT5+dCcdCZuc49OZjPDpY328cHYC2zSI2iadCZvB6cINFa7a9y3n+GSKPvGISRhojuxJYZsGU5li6Xvak6K/J4Xjh8xki3QvMbduKaVh7hHeHElz8XqW4/0dJCJWtYq7+OdguWHX7lSUL36wnz/6/iU+eqSHtvLq4uU+Q1u9gbBUG8VWI8FObGvb4R/txQssVnuhrbxHRS/g9aF0aXizM7liz7TJTJFzo/PV97NynHfG0rx4YYqiF3Dm2hz372unrzNJuuBydSpPwjbpbYsxPlfAMQz2diR46EAHrfEIo3N5ZnKl4eD797dzfjxL0Q84PTjL/q4EUVuRitu4WZd0vrSIYb7oM513sA0TDWit+YPvvM2n799Df3cLedcnnXf5zAN9oAA0f/n6JHHbpCcVxfVDAq052tvKfMFjOufy9ZcHyBYDTg/MkowavDmSoeAGvPDWBHHb4MOHujm4o4WH7+zmI3f2MDybRwG2abK7PYYf6mqQqgzr1gbtdN7j8RN7+fT9e3j+7Dijc3kUirt3tVa/d14QVnfBWEnle9OWsPnI4W5eGZjlRxenOHGgk8ce7GM8Xbjh56C3Lb7sUH7OKf25Lb5y5a92SkClsqrKX290zVBtFNtP4/9kCbFBtus/2qtZ6Vr7HvW0xFAKXhucI9SaeMS6ac+0ynBfOu/S3RIr72AB3317kraETSJiYpiK8xNZdrbFsQyFHwSoqEXcsLhjRwvTWYf797XRnYpVz5Nyk96+jiQ7W+O4fsDIXAE0JCI2hlbkHI/5vEcexa72WHl3hxClFDtaIkxnXc6NZNjTkSQRsRiYyvInP7jM5ckcXhAShJqfv2sHlmmwpyPO4HSeqZyD44XMj81jmQazBY9UxOTcWBrX1yjA1+B4Ia8MzLC3I85/Pj1EKmrxwYPdoDX5clPi0bkCf/nGKApKVUQ3uKESGrVMdvcm2N+VXLDwYS2NeGu/N4mIxSNHd3JtJldd3fvEi5eX/Dm42WKYej9DlSkBT700sKD34Hi60PC/RG31aqPYniTYiW1ru/6jvZrmxovfo76OJFrDYw/00deZWNCiZPF8NS8IyxUmzdBMjlBrPnbXDn54cap6e8wyccqVq0zRZTbvs6M1Tms8QtbxiFomnh9We86dPLabzmTkhlBhGgYRA6IWnBqYJwg1oda8p6+V9x3o4i9ODeP4IaapiJomhqFw/QDHDym4PhcnstiWQXdLlCCAd8bneeXqDId2pnhjaI5U1OLOnS0UXY+ROYfZXOnc5gs+jqcJgcroagiMz7t8+9URDKXoSkXY1RYlXShtPbarLcbv/pc3ScVsorbJwZ4Elyay7G6PV4c1a0NSbcV1rY14F4d5Lwhpjdl0JiM3/TlY7nir3e2hty1OS8zmw4e6q7uFbIVfohplP1whVkM+nWLb2s7/aNfuLAGazuTS87SWeo9itrkg1NUOZ9fOV7NNgy9+qB/HD6sNdX90cYqc41ef70hvipcuTvPCW2OgIRWzyLkBTlAkYhrc19fGFz54gKhlLAgWlVAxOJ3jwliGvV1xck7ADy5OYSiwTIO+jiRXJ/OEoSIE8o5P1DLwo5p9nXEMpZjJlrY229eVYDLrEjFNMKEtbvLW2Hx1q7FUxKSvI0ZHIoJlGDhBgGUopjIFwvJ7pfW775umFHZ3tMZpjVmcG81w8tgeulNR/vbtcaYLHnu7UgSh5vJknr6OGGNzBdJ594ZK6GJracS7UhC72c/BcsdbTcjMOT4aTXdLvHq8rfBLlGxXJrai5r+CCbGMrf6P9q0u+lhqXtXiobGV3qOlhrPTebc6xAfwxIuXFzTUzRRLc8jm8i6Zoo/WITGz9BpC7TA2V2BPRxyPUhuN2j50lXPq707x+Pv28gffeRvDVFzPulyayOAHIS3xCGgYm3PwwpDh2TwGGss0MExFS9zirp0pPn9iP7s7EliG4k9/eJWJeQc3CHC9kKmMi+8HxCMmEdMi0HB2JENvW5T9XXHeGPHIOx6BpjqcWpPrMBWgFI4fMJ7RpAs+BTcg1JqoWdqPNu/5tERtxtN50gWX+/d1oIFH7+3dkCHK9aq+1ao3ZG7lX6JkuzKx1TT+T5UQG2ir/qO9cPWp4pGjPdy1q63u81/N/MKb9aartCipDOOVLt4BoInZJtNZ54Zhvpht8Ev39hKPmHz95QFSsQipmIXj+cxkXJRhYCiFoRRaL1w5W7tzwp//dICfDcyQjJZ2a7BNAz8sLY6I2xbzRY+iF/LA3hTxaKlh8NBsnsM9SaKWyd+8NcGn3rub7lSUT713F1nH49TADJM5F8cPCJWBorQ9mA5CUJqdLTEGpwv0tka5OuWTsBVeCBaavKeJm9CSsAkBzwtJRS2CECzD4MJEhr2dCTTQ0xLB9UKG8zkm5h0+9d5d7O9KVVuK7O9KbshncT2qb2s97mrDYyOtVpftysRWIsFObHtb7R/t2lBW2X3h5avT1RWO9VR7bjavqnK7ZSj8UN+w0fviUJkt+uV9VX1+dnWGnOMT+YnBZx/aS0d5PlW64NIWjzA8k+P1oTRKKUKtGZ8rcm0mR9YJ0Gj8IORIbwsfOtRNMmoxNpfnmVeH6WmJlVp+ZB2e+vEAccsgGbGIWCaGguG5AgDRcg+8+aKL1ppkxMQLIRJqNDCTc7k2XSARs8iOzfPDC5N84FA3MdvkU/ftwg00qajJudE0Z0fmKXoBtqkIQo0OTTqSNiGakdkCWkMQQlvUIhG1yBQ8eloi3LenlbwbcGowTc4NMBQ8crSb4dkio+kCB3uSzOVdBmfy5B2f9oRNKvpuMJ4vektukbbRQWeln4NbPX494bFyjJUaYQshlifBTogtphLKbNPgJ0NpUjGrtA+padQ9IX25obGprMPXfzrIVNbh0kSWgzuS9LTEqhfWpSp9WcdjOlPkpcvT1W3Azo3O82++e5E97XFyjs8bQ2kO9CS5Opmrbpc1nS1yZmgOP9C4QUAYghuE5N2AZLQ0wV8DhlIUXJ+/uzjFSLqI4/t0JSJ8/J5e2uM2g7N5wkATsRSWqYhHTAwULTGLsbkCrw/NYRiKmGXgBQGJWKnh72DOw/UDWmMWGcfnn/31O4Ra05GMcufOFrLFgAsTGWazLqalaI/bZIo+P740jeOVgmjB0/iBR29rhFQkxkN3dBAxTX7tvl381ZtjhFBd7bqnvTREnYyY/IsXzhM1TRItFkMzBV68MMmHDnXz2rW5JbdI2+y2POfH53nm1WEMparVt7Uc/2bhsbatTm0bnK28Wr2Rqo5i+zA2+wSEEKtTCWXpvEugNejSsGV7uTpWqbrdTOXinHN8Rufy5By/uqNAxDIYni1gWwYjc0WillG94C5V6UtGLT5xTy+mobhrdys7WmJYhuKnl6dBwd2723n4SA+Wobi3r42drXGyTmklazJqUSjvndoas9jZEiGd97hyPUM67/HIXTsA+O/nr3Phepa84+P4MJ1zeenSFGEQkrQtopbCMhSmoTBQ9LbHmC/4eKHGNEApSr3j/JCLE1l+emWa6/MF5os+Q3MF3hxJYxkGyZiN1pqL17P83JEeTtzRSUvcJhG1mMq5vDY4S7rogwLbUFgKglDjBYqP3tnD4R1t9LTE+N75ST79QN+CSuhjD/axuz1OzvU5P5GhIxmlIxFhV1uMkbkCL164DsCHD5dWjlbe89owvbs9QTJqVW+7Hc6Pz/OVZ89xdnSeCxNZHD9Y9+PXvsbOZKTaBqe2Z189n+tGMjCV5YkXL/PkS1d54sXLDExlN/uUxDaxYsVOKfW/A08CGeBPgfuBL2ut/2aDz00IsYRKKHv69Ah5xycMNcf7O6rVnHonpC8eGquEtqIXcHUqR9QycPyQI70pLMOoDs/WDq1WKn3tSRvbNCi4AYPzeYp+QMbxKbqli3FrPMJc3mUu7/Ld8QymofD8EMssVdZSMRtTgRdoWmKl/V/fGE7zg4tTTGWKXJsp4IUhOgSUZqYYMptNg0EpzClFa9zCDzU722LoUBOWF0zsao+hNYylC0Qsk4n5IkFYaktiqpDnXhspBdSYxXv2tPHGSJqiGzA17zCeLhJQmi+ntWa8/Hq8QBM1DVR5yYQX+Njlbb9qd2iovL+VYe2iF1R3rcgUXSazLn4QokPNrtYY7z/YU+7Vx4Kh8Y1uy7NcZanoBTzz6jCmoehOxXCDgPPjWe7cmVrX49f+wlDbBsfxw1V/rhvBdu2RKRpDPT8p/7PW+l8rpX4R6AF+g1LQk2AnxCbp707x2x87xCNjPXz37eu4fojW/qpX9S4eGlMo3hyZwzYNlKGwDYOzw/Pcv6+9Ou+pMrR6aGeK7lS0ukvBnTtb+OHFKWyzVD1riVq8PZ6lrzNVvTjbVulYGjAMxeEdLVydzDJX8DEMRU8qwl29rbwxnCYZtTAMgzAMMQ0wUGBC3g3xdWm4IW4p/BBCrSm6AV6ouXQ9ix+EOF4ICibSxeqWWaYqzYszDCCEsNxQ2DBC+hMR3hhJs7cjgeOHZB2XYlDqzVf0QgxVWgGrgECDG4aEutS/br7o8+1TQ3z6/j10JKPVIBKzzQWrj7NFn0Br/FDz+vAc7YkIEdNgZ1ucqYxHwfWxl+hlt9SwuWUoprPOLQ/z3WyYN+eUmkpHbRPXD4lYJumCR6j1ugatxVMDjvSmqnv2rtT+pRFt1x6ZojHU85NZ2dTwk8CTWuvXlVLqZg8QQtyeye7H9nVy1662VR1nufOK2SaPHO3h5avTdCZtrmec0pZaQciHD3fz/Nnx8g4U7fR1JJjNu3zxg/20lXeY+OUH9/DO+DxRy8QyYE9HnAsTWa5N52iN2zxydAd/9/Z1Hr6zh0zRpyVmMZt3+fyJfbzw1ji+r6v3+/bpYd4ayxBqjdalRRGZwMPxdbXFCIAfgudrlAGBG9AWt8gUA7TWmKbCNiDvheRcB1NBS9Qm1B5uAKZR6j1nmIretijKVBTdgGzRI9Qwm3FwfE3ULFXlgnI/k4gJflAKdIZZWvGa90LcvM83X7nG/3Dfbn7zwwdu2JfXNg3eGJ4A4MSBTmZzHp5f2lM3ahkUvYDB6RxdKf+GVaO1K0oVcHRXC3/8/Uu4gSYRMeteNLPUZ+FmlaVk1CIesTiyM8X5iSzzBZcw1Hzmgb51/UwvXjVb2bO3OxXdkvPTtnJ7F7H11fMpO62U+hvgAPCPlVItUO3JKYRYwu2c7L6aVb0rndddu9o4caATq3wRyjs+XqDZ25mo7hgBEI9YTGYdcm5AW+Ldx37gjm6yjsflyRyXJnMorfjFe3bynr0dADx7ZpQ3htMYhiIMNQd7khzpbaWvMwGUetY5XsD5sQymadCZjFDwAopeSFssQs4LyjtG6NK8uaC02jUMIQCmcqWhy5aIgTJKQ6VhEGIain1dKYZnC/ilXb3wy/+KxZQi7wR87M42MkWP6xkHjWYq76E1FP13e9SVBkkViUip6bHvh/ihxlJgmgrP0+SKPr1tpRWttZWb0rzC0uBtVzLCHT1JLl3PcqA7Vb7doz1u86vlHoC139PKsPk7Y2leODfBH794hbmCR3cyUlqRW/T58iePrjoArVRZqg1ch3ck0cCn3lNqEVP0gnUNXFu19dBStnqPTLG11RPsfhM4BlzRWueVUl2UhmOFEEto1Pk19ZxXzC5Vf549M8pUprQrw2ce6KOzPLyYd/1qi5XFqzdjtsmn3ruLf/QXrzOT91CGoiNu899eH6sGu8ruDIrS8On1+SJ//P3Lpepa+eL3+tAsV6eyFPwQ0zDY1xFjR1uMh/rb+e7bUxRdj8msV62gLSXjhrREVbkqp3ECTcI2uWdXK69cnVlw35wXEuZcvn9+ko6kzXTWYb4YQnmYFQ0RqzRMHbFN/CCsLlSZ8T38QBOxDBLllbyXJ7PM5Bw6k1GcckUu75Z2vQjC0kknojYHu5Ncvp4lROP4Acf7O3D9kKhlLPs5efHCFJZpMJPzKPoBA06ejkSETNFnJuewuz2xqs9EPZWl2sC10W1Iavcdrv37VtRMQVVsLSuuitVah8AEcLdS6qPAPUD7Rp+YEFvVUlWQRljVV+959XenePTeXrywFEj+86lhBqdznDy2m3Te44cXpwhDzQP7229YodkSs7Asg76OWGn41PH53jvXeWNolpzjE4+YHO/vYE97HKU1r15L89rQXHXLsCe+f5nf/87bZNyAsDzkOplxiZsmO1rifOq+Xqzy/DJTQXTRtdJU7w7TZpyA+WKpjYoO4fxEhqtTWXxK97FqJpQkIwbzRZ8rU3nybohlQE9rnJhdqsx5Afi6tFCjNW5zV28r/d0pDu1IYiqIlMd1W2OloDQ0k+eJFy/zjZcHyTo+wzN5JjNF7uhOcrAnyWSmSCpm8/Cd3RztbeEDB7tIRKwFc+cqK2Irf363zY0i63hY5TmQSsFUxinNKVylpVZHL1VZqgzLVobjN2p1brOtJI3ZJl2pqIQ6cVvVsyr2D4HPAm9RGu2A0sjEDzbwvITYshp1fk2951X0Ar71s2u8OZJmKusShJrTAzP84S+/h8dP7GUsnWc653F+PIuhFD0pm+GZfHU4FWAy6xG1DdAK1w/5m3MTnIxY/OTyNFNZh6zjk4iYGIaiLWFzZijNBw528cZomqIb0ha3KbilXS38UHPy/l1M5zwcP6SnpTTvamgmj1Ll1RBlYU0VL6LAsk10EOBRqhDaZun8NKWgVjGb8+lpMTANRSJikC4G5IsuYQgxS2FbJqmIQc4JMA3FTN4haplETYOIZWAoiEUseloi3Lmzhb89N0F3S5Sellh5mzWPx0/sre7JW6l+fetn13jt2hwAd+9q5Rfu3sFTPx6oBm5d3j/XNg0evbcX2zTwgtLCBccvrdTVGrpSkdL7vQb1VpY2ekFAo1a6hdhq6rnSfBo4orV2NvpkhGgGjTq/pp7zKnoBlyczvDY0SzpfCoCGUeob9xevDPOlhw8wMlskGbNIRW3G0nneHksTj1q0xyN87K4d7O2IM56exVAWoYa+jjgozX89M4xlqlJbELe0ujVmlXZ18IOQoek8Co0ySmtPW+I2+fK8tPfsbePOnW3M5BwilsHrQ3PVcFSrktViJqUFEmGIYRgYYUjODSl4S/8zpoF0wedAT5KRuQIG4IaamGUQKsWxvvby7hIurTGLsYyD64fMF332dyWYy3vcv7eN1piN4we8MpqmIxHlgf3tdKdi1QUBte/11386yJ6OBP3dKdJ5l4Ib8PKVWdoS9oKFFo8c3YkXhDx/dpxH7+3lL18foysZWTDH7lBPqhoa1/rZWGtT6/X6hUVWkgqxPur5ibwC2IAEOyHq1Kjza252XgNTWZ4+PczlyQwXxrOYpiLpBrTE7VLfOR0wX/A5tDPF6FyR0bk8FyYyxGyDSxM59nYG/MF33mZvZxytIWIqultiHO1tIdAaxwtpidnsaInx5vAc6aJHGBq8OTIHIWQcD9fXWIZivuDih7q0ZVfC4p/+t3f4X3/hEMf7u7hvTyvfe2eCubyHF5Tmk0QtMA2Doh/SFjPZ3ZHg6mQO1w8JjXcreXqZeXlKgVKaUGtSUYuM9kvbkQUh+zpiWKZBqDWGYbC7PUlve5yL17P0tLQQsy2uzxdJxkz8MGQ0XSRd8Jkv+hS9gJ870nNDAFocYrpbYly+nsENQ3ZF4swVSpVS01Q4fmnP2UpvvN/+2CEeOdrDC2fHF6yK3ejPWO0vBtNZh1Cv7+rYRq10C7HV1PMTkwfOKKW+S02401r/bxt2VkI0gUbdg3ap8yp6AU+9NMClySxDswVMQ+F4ARHDYDrr0N+VIGFZmKaiPR6hKxnhhxenaI3ZJCIWUdvgJ1dm2NUa4/DOFjqSEU4PzrK/K06gNZ+4u5e/fnMMzw/x/ID5ol9eWKCIK+hujfLA3g5OD86QsQws02Iq42EZ0BazMUzFv3j+PO+7o4tXr81ScEPu3tXKxHyR2bxLd0uUXa0xBmfyHOxpYV9nnKuT+dK8uFBXe9D5SwS71phB1CxVJmfzLq0xmzt3pDANg8GZHF4Ab43OYyg4cUcHv/JQH8+8OlzqYWcoZnJFLLO048W5iXl2tSY4vMNkYDrPtZkck9kWvvD+/gXv+VIhJhExAcXwbI63xzJcm8ljKMWxPhdDsaA33lra3KyHyvzLZ14dRgHPnx0nahnrsoCiUSvdQmw19QS758r/CdFUZB/Hdw1OZzl9bZaORISYZdDbFmd8Lk/ENtAh7GqLUfQDnj49XK7UZZnMODiBZkdracWs54eYpiJimezvSjGddZnJuliW4v/+63foaLGZK7iMp4uEWrO7LU5XMsLgTI6hmSLT2XHyXsCe9gimMil4IXHLJBaxmMy6pAsuMzkHuzyvbTrvYhgKlOJ6xiFqGexIRblrV4ork3mO7Exx4XqWZNRkKuOSjJhknABNKeSZRml6XhgqdnXFePx9ffzHl4fobU2QilkU3IC8E/D/s/fmQXJc953n57286q7quxvoBhrERRCkwJsWSZEyZdmy17Y84soWx3ZIDnvHG5bXG+Hd2Bnv7OxoHTEzuxFjhzd2rFh51mtp7TEth8kRNbItySRNSiQl3iAJEsTZjb6P6q77yOu9/SOriw2gATRJNACK+Yno6K6qrMzXmS8zf/k7vr+fv2WIbMKi1vbxAsVwLsFnbh3le8df5Y2ZCkIIUpYkZUsMIUBo0o7FYNYRywAAIABJREFUdQNplqptfuWu8a7hs37OnWvEPHjbKG6g+NJjb2JIwWhPEj9U/PD0Knft6j3PK3c1Hhzafsi3jywwkE1sSR7cterpvhaJr18xF+Kihp0QwgA+qbX+lSs0npiYK8LVbqp+LfHMiSX+8LsnOL3cwDFbpGyTTMKkN5vgx/cPEISRZlwmYVFIWhyeLpO0DMb70gRKUax5mJ2iiRtGcliG5LXpVb7z5gI5x6DihmRtg8W6yUDGpi9j05t2yDhRC7BKKyBpGeSTJq0gYKrYZHwgjSmiilSUZr7SxPUVPzxdQmuFYUhq7YBcwsQ0BEnTJGkb/MY91/HcxArLtRaOYZBLWigVad01/RDTEOhQYxiweyjD/qEcP33TMMPZBN99awkpBMcWKxSSVqei0WY4l6Ta8ji+UKfUdPmD7x7j0zdvxzIkPSkb2xSECmZKbfYNZViquphmiFKam8cKjBQiTbuN5ty5RsxK3eXQWJ7eTAKn06JsarXBQ3ftZFtnPVeTK5EHd616uq8l4utXzMW4aBmV1joEBoQQ9hUaT0zMlrBeNuJqN1VfP5YrxYW2WWl6/F+PnyRlGwxmHRBQaXnU25FYbqg0q402j7+1xDcPz/I3L09zernObLnN1GqT+UobNwgZLjj8/qcPkrJNJop1vn+iSDZhkk85hEpTbvsINI5pUG75ZBMmJxZrvDVbIQij3LalmovvK5q+5nSxiRsolFLMVVt4vmIw65BJmJiGxPVCvEBRanoUEjYHt+URCP7DP57kyGyZxarLTLnFcM6h5SuEiFTVBRppSAZzDtcP5/i1e3Zx53gf33pjnpRjsHcoTbUZcKrYYHq1SU/KpNbyOTxdoekFlJo+J5ca/P633iRQio+M5tkzmGVnb5LVhksQavxQ05+2OLgtx6dv3tbd/+vnnG1KHn5hCtcPu3IYbT/EDUIsw+iGXv1QkUtY9KbtCx7HdzOfLrXspT5fH0IG4jy4q8DVvn7FXPts5mycBJ4VQnwTaKy9qbX+w60aVEzM5eTcp9v79/Vfteq7q/GkfbFtHp4qMV1ukklYoCHnWLRkwL17+/knt4zy1NuLTLRCHFNSc30Wqm201iQtk6FCgjDQ9KdtBrIJrh/Jc9vOXk4s1nhxcpW2rwi0QmlNGGqWax7LNRc/VDx7coVswqAvY1FzA4SA3rTFzGqAZQo+si3PYs2l7gUUUia5hEl/JsFMqRV1bsjYHMglKDV9thdS1FyPiWKDINT0Zhz6MxaTK22otEk7klAZCK2QHbmQSitkttTmX33jCHsGU0yuRJ7K08t1hvKJqEeqgKMLdcrtED8IafmKHb0pelIOC2XFcs3teNssJlebWFJyaKyAFyqmVhqgNY8fXeLp48Wz5txKvc3h6QqVlseXnzrJQ3fuADirn2zd9btG1Fqe2UbHcf33LjWfLjX3NjM34zy4q09cPRxzKTZj2M11fiSQ3drhxPyocbXzQDbSxnri6HK3G8CVrL67GjpdF9smwLOnVpBCIIB0wqTm+mzPJ/ndT+7DkJLvvrkA0O3ZKojkSoJQoRWEWrNrMMVrMxX+9JnT5BIWD+wfIGkapGwjas+lo6IFN4hEhw0JuURUcXpmpUkQapo+tP0WodL0Z216Mg4J2+DIbAXbEJQaPvmkTX/GZnLFBxFJsCxW2qzUXUKlMKWgHShW621mS1HHhyqagYxDqBRuoNFeCAL60lG4eabUREpI2xZ+oCg3fVqBoukGZBwTU0pu2pbj1TMlBtI2PSkHLwxJJyxu2dHDfLnFUrWF6yk+ddMQSdvEDBWnlhvcs6e/q2P3xNElBIJKy+PwdAUhIJ+06UnZPPLyLKDJp+zuMao0PR5a11pso+P4yMszQKQDeKn5dKm5927mZpwHd3WJq4djLsUlZ4LW+n+7EgOJ+dHjWsgDudDT7U8cGOTp48Ur6nW4Gk/aF9vm9GqDw9NletM2U6tNUo6J0PAb9+1iMJek7Yc0vZDTxToNL8QSAssQ9GUcwlCRTxokTIeZUpuEZbCjN40fKp48tsx/c98uvvLUacxOdwhDRsagEALbEBTrPv46NWFJVNCQtCRuoKm2fN6YLaM1WFKibTi+UENIGMkncTotvKLuGSHTpRYtP0SFiqaOZE1MKZBCsFhtEyiNISKF9VBDte3z1lyZWjsyAMNMlEfoBgopIdk5HnXXZ7LYREvBTLlFqDWFlMP+4QwtL2RbPkHVDTi1VO8ew0rTA6CQss/a5z9xYIC/P7JApeWRT9ocGsuTS9os12ugYaRw9jFa31pso+M4X26BgBE7yr2zDEm17bPa8M7Lx7vU3Hu3czPOg7t6xF7TmEuxmc4T/8g7up9dtNYPbMmIYn4kuFZU5C/0dHv9SP6Ky0VcjiftS3lAz/38Qts0peA7RxYwhGAkn2Qol2Cl0ebgSIF79gwAcGalwdH5KirUtH2FMgQpyyBtS4r1gLmSSyGtMAT85MGoK4JlSMpNj960ze6hNIenA0ItkAIyjhkZi746q0MERF48jcaUUaeIV6dL+EHkhZtYbSIR9GdtDgxn2T+S4/mJVZKWQag0u/pyTK+2UCoyHPWavImA/cNZJooNJFEhRr3toUIIlabuRgUODS/Eage4vqIvZdEKFHUvQEK3O8ZQNsGh0TxvL9S5biCNISRahwzlk+yyTfpSNq+eKXcMSskNI7nuA836OberP8OXnzpJT8oml7Sj42KZgL7ovLiYPMpa/97nJ1ZpeAH2c5P80p1jZz1EXWruxV6gDxax1zTmYmzmrP0f1/2dAB4Erm7Ty5hrnmslD+RST7fX0lguxXvNkdpomxPFOi9PlRHA8aUaWcdkpe5xXX/AV5+b7GqVpRMmd1zXx3K1zWylTT4VGRM/eXCY8b40xbrL86dXu/1Zm16AAL7z5iIzpTbb8knKLZ+VhocIFWh9nlEH4KvIY9cmiHLo0hbVFrQChVQhEqg24dhCnanVJqvNgDmjxWAuwfHFGtvySU77IUJExQspy8AwBOjIyDMNgSEEtbZAoFEK/EAhpSBpS0xD4vkhIfCR0TxBqJgptSg1fVpeVE07X3ExgHv39LF3KMtfPj/Vnd+jvWmU1jx46yijvSkWKi0eOzxHsdZGQ1fIN2EZPHTnDh47PMdcudmROdmOG6iuNlzSNs+bFxvNnQdvGwXgkZdnefr4EpVWwFDO4c35Kl97bpJ//tMHzprnlzoP1n8ugE8cGNzUvIy5OsRe05gLIfSFpNgv9iUhntZa378F47kq3H777fqll1662sP4kaHth6w2XB5+fvqs/J+GG1y1vo9XO9fv/Y6l7Yd85elTZ3lA1+/Pi30OsNrwAN1tO/XHT57ktZkymYSJ5yveXqgxmk/w0b39tP2AajvENgVTKy0cS2IbUfK+HyosU9KXdtjRm2RypclCpUXCNjg4kmMgm+D+ff38l9fnObXcQCvNG7OVrqduPYINQgEdZOczvW5ZOq/XNOhsQzKcc8gmbQ6OZHn6eJFq26flh4Qq8tglTEkhabJc8wh1VBkrgYQVrVUA9+wdIFTQDkJKDZe+TAJTRq3OFqtt8qmocAMtqLs+h0bz/OpHd/Knz0yc5Xk7d34fW6jy6CszSCG6htN6Pbu1Y1JrB3z7yAJtP+x2c9g/nNv03Jko1vndrx9mMJcgaZl4YUix5vJHn7vlvJDsZjy+b89XeOLoMhodS2m8B66la03Mjy5CiJe11rdv9NlmQrG9615K4DZg+DKNLeZHjPVeowtV910NrqWn2/cylveaI/X2fIWnjxfP8uJlExYazR3jPRyernQkYALKbZ+vvzgdhSYlDOccDo0VWKh6lBoexbrLTx0cZnKlidKaf3hrEcuQaCCftGi4Ib/ziTFySZvvvLlIqe4yXYry0trnGHXwjpG2/m9DRvlx4TqLb/0y3fc0aK2otQNSjskzp1boSZtU2j7o6DvR+qK/TAlBRw1CAV4Yee4E8MZslfG+FDduz3FkRnPXeA+2ZeL5ASeX6kyVmrS86Mv7hjLMlJp85Xun8QLF69PL7B5MM5BNnDW/LyXku+bRa3kBr01XuGVngbHeNE0vMvJ29qU3ndvmmFEI3BAd9Sq90R678PfP5enjxU0VZMScz7WQVxwTc1Eduw4vAy91fv8A+B+AX9/KQcV8MDlXX2m0N0XGMfmnd+3kN+/fHV/g3geX0g/b6HOB4ImjS+fpXZlSYBmSpG1y374BRgsJWn7IbKVFuRXpzQUahJAcX2hw3UCavYMZPrZvgN2DWW4ey3c05HwAhvMJ5qttnjm5zB/8wzGeO7lMvR0wW25RdwPCjkDwGusvOgLI2tE7GlDq/H6u6z13a699Da0A6l7IUC7Bat3l+GKDphsiOqFXyxC0/JBiw8NTkdFodX60joolLFMi0NTaPgnT5IsP7CbUMLVS59mTKyQdE0tIepImTTcyuh4/usThqTK9KYvbd/XgWJIv3D1+1vw+19BeX9iw/jzpzSQwpODYQr27vB8qGm50HDejUdebdrhhJEfd9SMNQtfnhpFc1zv7btjoAWH9eGIuTKwvF3OtsBnD7oDW+jqt9S6t9V6t9U8CL16OjQshPiWEOCaEOCmE+BcbfO4IIb7e+fx5IcT4us9+r/P+MSHET212nTFbx0Y3BQ1nVffFvDfWQnkNN2Cu3KThBhvmSK3//BMHBtBw3k06ULq77NsLVb53oohjSjxf4fohtXZA0/VZrLbxwpB79/Tx2w/sIZcwWa27JCyDG7ZlySZNhnIOb89VWai0WW34PHF0id975A0QsH84x3A+AWhM8c7/st53ZxvQm01grPts7fOu123d6/WseeSOLdSwOnPMNKJ8PT/UtAPdMRIjs1B0ersqQGlI2gaD2QR7BiMVp589NMK9ewf5wt3jpB2T+/YPcNP2Aod25Hl+osRsuYVlGvSkbYp1l8dem+e1mQpvzFSZKNbPGtt6Q3ul3uaJo4u8MVPh4efP8PZ8pXueOKbEsQzaQYgXhGcZ7JPFOl95+hR/9uwEX3n6FJPnbGP93PjCPeMcGs1zXX+aQ6N5vnDP+Hs652IB4vdObBTHXCts5mx9Drj1nPd+sMF774pOu7I/Bj4JzAAvCiG+qbV+a91ivw6UtNZ7hBCfA/4P4JeEEDcAnwMOAtuAx4UQ+zrfudQ6Y7aI91tZF+emXHwfbFQJt7a8KQXZhMUX7h6n4YWAJm2bWEZxw+PRl3H4wt3j/MF3j7GjN8Vqw6Ppt9Bh5F0THUmQ7YUEf/vaHN99a5HVussbs1UKqajd1t6BNKeWGlFOm9YYUuAFCq3h5FIdxzToSZjMl9tRwts6V5wATAmmIRnJJWj7AQtV76z/d23p8JzX5+6vFaVJO0aUs6fPNgBDDVILTKmRHfmTjGPS8gOGskl8pZgttWh6IX/90jS/+mM7sU1JEOrujTlpW/Sko9Bkf8bh5FKdYt0ll7SwpUQZmm+9tsCu/gz5jsTJmqH99Ren+eHpFdKOyb17+0nZZlfTbu247B/K8OpUmdWG1/0ecFH9wXPnyHh/hi8+sPd9nz+xlMZ7J64sjrlWuOCME0IMA9uBpBDiFt65XuaA1GXY9p3ASa316c72/gr4NLDeCPs08KXO338D/AchhOi8/1daaxeYEEKc7KyPTawzZot4PzeFODdl88r/a/tzbfnlWptTSw32DGUwpUBryCSim8xtOwu8fKa84fEIlCbtmGQSFqKj9+aJdzTgLFNSbQf8/ZFFMgmDlq8Y70tiGga2lBQbXiRUDAQqatflhyGGhFrLZ2x7klfPlKLKVAmDaYtyy8c2BYaQCCloeiGTK00yjoVj+hhoWkEUSrhUAGttu4FSBKGiP2Mjkhblht/9riFg33AGrWGp2iYMI6+kJQ1qro8AEpbJeH+K/ozDV5+dJGkbvDFb4fWZMoaUSBEJJNumBAG9abvbgaPW9pFScHim1O0isf6YeWFUEGFKieBsTbs1HUXHMvjSpw/Sn3HO6hm72ZzJte1drjzSWErjvREbxTHXChd7lPgp4AvAKLC+fVgV+J8vw7a3A9PrXs8Ad11oGa11IISoAH2d9394zne3d/6+1DpjtpD3clO4VjTvribn7oNqy+PhF6b4rY/v6XqB1nvzAB55eQYhoubz6YTJTKmFHyqkENy3b4CmG/DsiRV+8Y4xHEvSm3bO2p9rx2f/cIaj8zXSjonSkE+aJG0TpTRz5SZSSrJJCzf0mVptk7YNdg9lyQsbU8BqJ9dOinc8Zkv1NsGMIuVItvekKTV96m4kZaK1YCCfIFQKL1BUWh6W6VBIWAgB7bqHFJ18u85YTSKNJYONDT5DROHVassnYUkMKTCkoOmHrNZ9Ah0ynHMYzkfPpMV6O+pRCwxkHG4f7yFlm7w1X+XePf18dHcf33hlFiVgd3+Gj+/v58hcjdlSE0MKxvvSHBrLM1NqYXSM6ULKPsur9tjhOQYyCfozCYSAw9MVbh+Xm9JR3Mj7I4Anji5fkcKGa6nY6INEbBTHXAtc0LDTWn8N+JoQ4kGt9SNbsO1zU2bg/GjLhZa50Psb5QxuqKgghPhnwD8D2LFjx4VHGfOuebc3hWtF8+5qsn4fFOttXrtIL1HLkOwdTPP8xCqWIZktt9gzkMGL3Ga0vIB/eGuRMFTMV9oUGy6jPSk+ffM2hvPJs246ax6G64ezDGRsji3UMQ1YqLQpN93IeyYUk8VmN5Ta9gPEssAPFX4YFVrIzhlpWQIJpB2LetunWPdZqXsgBI4h6EtZ1LyQhWobgWBXf4pi3eOOnT3kkhbPniqyWPNQ+uwTdy1L6VyjzugIERfSDp88OMSzJ4u4XkAr0CilkWjKLRetNRJJb1qR7ngzQxUiNLSCgEBpyp2OEfmUTcML2NaTBAR37uolVIqj83V29KXIJCxu31ngyEyNWjtqdXbzWJ580mau3IzC2m4kGjyQzXBoLN89nuWmx0N37rikjuJG3p9PHBjk8aNLH+rz5INAbBTHXG02E/x/Vgjxp8A2rfVPd/LbPqq1/tP3ue0ZYGzd61GinrQbLTMjhDCBPLB6ie9eap0AaK3/BPgTiHTs3tu/EHM5+DDmplyoQ0S15fHaul6ihQ16iVZbHl97bgrblGQ63ztVrDPWk6LW8jhdbNGTtqi2fFK2QbHucd1Ahq89N0nClHihJmUbPHjbKMP5JJ+9fYw1jbszKw3+9PunmViu04occWgNXqiRrBlwgtWGiyEMQCEBxxBowBaCVqCwBSw1fZTWHekSjRdqelImhwYKnFlt4liS0Z40oVI8dWwJzw+p+dGpuNk6wlBHF7GBjE1f0qIvaUPKptxwObXS6oghaxKWoNRweeGMT0/KpOlqRnsc0rbFQrnN37w0w/37Bzi4LcditcXR+RozpRZSCBquzwsTqxQbLgrFasPn9ekyd+3qZe9ghh19afLrtOwefv4MgdK8Nl1BCsFob5o7xiWlpneWB/ZSnOv9gUiK5Fo5T+Kc2JiYa5PNXBH+rPPzLzuvjwNfB96vYfcisFcIsQuYJSqG+KfnLPNN4PNExRr/NfCk1loLIb4J/KUQ4g+Jiif2Ai8QefIutc6Ya4wPW27KxTpEPPzCVLeX6JoXqHhOL1EpJaFW3Lq9l+OLdXrTFjOrLfozNqsNl5QVhSGV1hhSRgUNwEuTq6QsE9OM8r1mSk1Ge9JnCdHu7EtjdIw0IcCSAn+dqNy9e/ooNjwmiw1CHdWvOpak5Uc9VwMZFV9MrDTx1pW/rokRz1c8bhq1mKkI3FAzuVRlphpJgITv8fFKSpgtt/nbN+YZ708zW2oyudru1moIoO1rTAk6UFSaAWlbUmkFjPZkGMonWay1SNqSXzi0nX/7d29jSMFoTxI/VDx7aoXZcouEKZlajYy9UGkStokfappuSMNtIhAEocI0JP1Zm5tGFS9MrOKFIdmEzUN37jjPqDs3vH6uoXSu9+daOU/inNiYmGuXzRh2/VrrvxZC/B50c93etzBPZz2/DXyHKHXm/9VavymE+H3gJa31N4mMxz/vFEesEhlqdJb7a6KiiAD4otY6BNhone93rDFbz4clN+Vi+YTj/Rl+6+N7+PJTJymk7K4XaK2XaLXlIaXE8wMsKcklLe7bN0Cl6dHaEfKzh0b4xqtznFyq0/QCyk2fUtNDo5leabBYdckmFIYhCEPN8cUan7sjxUghRdMLeOTlGXrTFn/3+jyVdnSKh6HGkhAqsC1By1Os1DzCUCGkIGmbhApcXyEFJG1Js63wzvm/12y2QMOxhRphoGi4PsudkOl7MepE90fgBSFnVgNMQ3L/vkGKjVmKNQ9DdPTxiAotHFMghKAdaBQhUkKoFVnHwjYMkrbJobE8vZkEjinxQ8Vr0yXmSk0sU2J4CikjA8wyBJmEyUN3jeGYBqeWavz77x5nptym7YdovSaGDJ+6cfg8w+dcMW8h3vFeX8hQejfnyVZ51OKc2JiYa5vNGHYNIUQfnWuzEOLHgMrl2LjW+u+Avzvnvf913d9t4LMX+O6/Af7NZtYZ88Hgw5Cbcql8wnzK3rCX6OnlOl9+6hRKg2NIfv7mESZXmp1iAYNfumOM4XwSUwgGMjbPT9RJWJJQafrSNkfna2gBliVJGAY15Z+lr9X0Ap54e5GJYvO8LhG+ivTmUqZBte1Rafu0Q9Chpun73fZfjiVAiUuGUSdWmlgiMvKCdV61d2vbGURNFqQUeKEmVJpTyw1u3pHHNiSGjESJveCddduGJG2bmEZUBbxUaVJIJ9g/nMExDQayDknbRAqotjxenCxRbfn4QWTQukFkwGYcAz+MPJ1rQsDfP7FCwjJwTMlMqUWgFDt704zkE+d1k1hvHFmG5PWZRQA+cWAIP1QXNZQ2c55spUctzomNibm22YxA8e8ShUR3CyGeBf4/4He2dFQxMT+ibEYAds0r82v37OI379+NGyj+4/cmsAxB2jHY0Zfkm4fnCZXCDzQfva6X4XySlyZX+MHpFZ4+vkyx7pF1TH7pju38zE0j3Lg9z0DGIQw1pabLSsNDA8+dXmGh0uSHp1Yo1j1CpTDOuSpIIG1L7tk7QM0NkeKdYgmIvFIG0PI0de/CZp0povUoDaYlySUMrM62zt3mehKW4MBQkoGsRcKEjG1gishVH2po+yoqlBBRR4lTi03u2NmDEALLNEnbUb9YU4BlGEgJTU+RdkzagWYwa+OYUTpAPmXz6Zu3UWn6fP9EEYC7d/eRdEyEgP6MjW1KhBAEgeqGQhtu0G3T1vACvCDy2B0YyZBP2ucJ1a43jtxAYUgRGahB+L6Fbbe6A0IsYhwTc21zyTNRa/2KEOJ+YD/Rg/UxrbW/5SOLifkR4Nxw2GbzCdeWbfshj74ygxCCfMomCBUvTpQYyCYIQs3JpSqvz5Y5NJrjxcky/VmHfNLk1ekKs+UWR+frXD8cGVXXD2eZK7U4U/JBa7IJk6WKy395fZ56ywchUAoQ74Q5Abb3OORTNqt1l2LdpR2c71tb3zFiIySQcUy8Nd27UKN05AkMVKSbp7SOLkhSMJxNUGp5CKA345BLJZgqldEIfKVYPwRN5PlLGSClgacUg/kE//xTe3n05TkMU2CJSJMvn7Q4XYx63YLg9vGeqHPD3ePd/Lfx/gwP3TVG0wvY0ZfGDRRjvSkWKm2GcgmSlmQwl+BX7x5nWyEJROP3w8hY/Pi+Qf7h6AKmlAznU1RbHn6oMNdZw+uNI8eMPKsAtmm8b0Npqz1qH7ac2JiYDxqbunJorQPgTQAhxCeFEP+T1vqTWzqymJgPMG0/5O35Ck8cXULDWeGwd5Mn1XADqi2fuUqLuUqkmVZpefhaM19t45iC3pSNG2gWqy7bepLMlFoM5RIsVtssV1scW6gykEtgdCo8m15AT8pmz2CWphtweKpEKmHiBwrHkrR91e3PmrYkvWmb+bLLbNjc0KiDqIABFfVoNWRUrLC25FovWF9phNYkTQFSYhvQCiR5B0Z6koRKIYWk1PRRRJ0s9gxmWGl4SKXxAo1jim6V7fljEPz0jUP0Zhx+9qYRnjy2zN17B3ADxWdv3c5y3eV/+cYR/DDEMQ129aeYKbXZN5QhUGevrzftkEta+KGK2n6ZBmO9Ke7e048AvEDRm44MwbWwZ6Xp8fKZEnuHshwYzqE1nFisdsWjv/rcJJ+6cbgrRLxmHPmh4rr+NELAcq39vg2lK1Fl/mHJiY2J+SBysc4TDwD/N1HV6TeAf0sUhhVskNsWExMTMVms88jLszw/EeVcrYnfrs+b2mw+oSkFR+drBKGi5Yf4gaLlK3b0pmj4kRjxUt3lY9l+pIBSI9JsMwxBIWWTS9jU3JCBjEO54bJQjRrKCwIqTY/pUjOSMvFC3CDyudmGJJc0CZRiIJtgueaRT1k0XEm1FW6YQ6c6WnamjDpapGxJy4vy0Vr+WsGGwjQFKdNAGhJLChIm/PYDuxnvS/MXz5/htekyfqAIlWYw65CyTe4c76XhBpxeqbHcCFhvg5mdwg4hwDINTEPymVtH+faRBdKOyUA2QdMLePLYMp+9fZSfunGIo3N1Mp2OG8v1Nkrr84ye9V6pNcMr1JqVukvKMnnwtu1dj+pjh+dw/ZDluo8tJScWavzrnz/Ijt4UX37qJPftHyCftJkpNfjSY29yaCxP0o4Mu3PlTC6HoXSlPGofhpzYmJgPIhd7hPsDIgHfHwA/TdTp4V9prf/PKzGwmJhrlYtVG67d6C1DkHJMUpbJa9MV7ts30M2belfizV7UkippmyRsAy/QGG2PhG1SakXenYGsQ6jhzl09TJdaVFsBtim5Z3cPp5abaGBqtclcuYVGkzANQqV4baaC1lFINFAa25B4oWI4b/O/f+YQ23oSvDSxyn98ZoJKy2e16WNbEt9XXcHgtdS4qDWXwA00oQJL0q0abXqKUIWknUivr+YGCD/EsA1yCYu35mt849U5ZsstLNPAsUz0+6y/AAAgAElEQVRCpbhuINKH+8HpFUKtqLsqakvWDnAD3W0pZgpI2QYpyyBhSQKlafshA9kE8E4oEgSFpMOtO0yOLdYp1toopfnMraMbHpP1Xqli3eVbr83R7PTh7R6fjhDxiaUGjmmQ7RiL33p9js/fvQvLkN0cu2MLdQwp6M0kkIKuod+Xcbrru1yGUuxRi4n58HIxw05rrZ/q/P0NIcRybNTFXE4+iAKnl6o2XMtvGshGoU+ERmnd9Zy8+3CYJmEZjOSTSCloeyFH50Nu3J7j5rECb8xW8IKoV+p//xP76EnZHJ4u8cyJYvS+UmgFQRh540wRVYtKIQkNjSDKDVM6KmAQQKUV8uirc4Dmjdky1VZAw1UIonAoEgwVVcFahkHDC1AqkvUIOy3FbFOQNQw8FcmJSCFI2QZSgB9qHEOStEzqbsDJ5RpGR9jYCzUjhQRNN+DUcoOE1SJpmVhIkrZBO9Q4pkTpkLU6DWlIpJCkbIPDMxUUUxyfryMEjPaku6HI3rTd9WTtHUyjgc/cOsr+4dwF9/7avPyLH54hn7IZKZwt75F2TDTg+iHZhIUXhiRMAymiOt+1kKjWmnYQdqtmLUNueSVp7FGLiflwcrG7TEEI8Zl1r8X611rrR7duWDE/6nwQBU43o9+1lt/kh4qbx/K8OFmi7YcEoeLB2zb2DF2M3rTDDSM5ThcbuH7IQtUlnzJ5fbrK3qE0t4z18IkDA1w/ku+ue2dfmpcmyygC+jM2p5fqhG6UF5ayDfJJG6U1GWlQSNqcWKyBEFiGQGuJrxRvL1Q5XayjQk1/1sExBdV21H1iIGsznEuwUG7Tl3U4tlDDMARBR4xOdMKvlXZIyhJYIsq5a7ghQoAtBX1Zhx09SU4uNxBK0Ah82l6IkIKZ1RZaKXwN+YTJwe1J0OCHoNEMZhP4vmKu2sKWsK0nBUKzVPUYyCa4rj9L2jJ59UwZrd8JTSYs4z15si5WjNCXcfjMraO8Pv0my/U2CdPoSqf0pp2uIdn2Q1So2b890zX24krSmJiYreBiV5WngZ+7wGsNxIZdzHvigypweqlqwzUP5KduHObbRxbwQ8Wh0cJ5hte7IWEZfOGecf7TD8/ww4lVthcS3LGrF6Wh6YX8xsd2ndXNoO2HPPLyLJYhSGjJ2/N1Qg09KZuRvGCx4uKGIaaQ3Lenn4FsgmLNo9r28Dses7Q0KDU9LGnQCgJCpWkHCrsjyTGYcbBNk96Mw03b8xxfrKM6YrySqELVkRJDhYRa4PlRD9tQdZLh0BSSJmdWmpSbHlopetI2liGiHEIVVZDmHJOUEy13/XCWoZzNTKnFfKWNH0ZCwVpIam0vCuGagkNjBSxDMtqbRmnNg7eOMtqbOmvfr/29JidyqeNyqWKE/cM5vvTpgzz6ygxSiK50yrmGZLHu8u0jC119wriSNCYmZiu4oGGntf61KzmQmA8PH1SB0/U3+LVQmui8f64Hcn314+X4n7SOGt6HWvPixCq2ZdB0AyaKdW7e0dtd7u35SqdoQ3JmpQkC+jIOQkQivrsG0/z6PbsY78/w5NtL+KHix68f4PCZEqYhOLPappAyqXU6IZiGoNyMhHmVhoQUnFxuMNaXotr08UJFX9qiFUT5g2EYFVEEHeMsVArHEpiGQT5hkUlINILJlQZ+oElZBqHSLFTb7OpLUfdClmouQkQ2YF/KYqnusVhtk0ta7DQE1WZAwpaUmwGhUuzsz/CR0RyvT1fJJS0g0lZL2uZ5Rh28e2/xZooRdval+fzd44CgN22fZ0gmLIO+jMPOvvRlTT/4IKYzxMTEbC1xHCDminMl5Bi2grUb/FefneSt+SoAB7flOLPS6FZhrv0/3z6ycFk8kGvezf6sQ0/a4cxKE0MKrutPoyyDJ44usas/kuswpeCJo0skLAPLkBgyajyfT1rsG8pQanh8ZHue+/YNEijNQ3eOUW0FGIbg6y9MkbJNnjy6yFLdpe4G2IYgUIo1XduUbeAFCl9pppbrJG2Tp48VEWiSlkFP0mRyJerRGoR6XUstjeEHFBImDVdxw0iGlbpHKhnlzaUdg2PzNRZ0m3ao0FrTm3LY2ZdiarVFX8biwLYs9+4e4K9fmuaF8ipNP6qytTviwK6v+M37d/HGbPWiHrGLeYuBC1aobhTCXTOq1jxxmzEUL2fe2wcxnSEmJmbrubbvpDE/knyQBU6H80myCYt79/STT0XVjmshuHOrMN+rB3K9F2Z9McbugTQnl+r4oablh9w+3sNStc2XnzrZzetruAG3j/fw6lQZN4jkUdpewFtzVfrSNnfv6eOrz02yXGt39dUKSYulWpup1RaLtUiE2JSCbMLECxTVdlTRaggRdZ4gKpQwQ43SAdsKkQad0lGlqlzXnxUiSRKAxZpLPmmxVHVpeSGayHiaWgkJNbQ6Rp0pZUfTTtCXtvmvbhqiWPd5YXKFt+YqJEyJGyj8jgQMSuNuy/HGbPWSntILeYvfnq/w9PFidx9qDZnE2X1b1xtla0ZVywt4bbrCLTsL3UKNK5FW8EFNZ4iJidl6NtNSLCbmsnNu26zx/gxtP2Sl7l621kdbwVrrqP5sAsuQpGwTASitL0uLpclina88fYo/e3aCrzx9imLdRQDHF6ocX6yD1mgFN23PYRuSU0sNCimbgWwC2zQ4sdjANiT37OmnP2PTm46EiEcLSQ6MZHl1qtzpZdrGMiXTqy1sU3JyqcFSzcWxIkmSvozDaCHFzt40vUmTUEGlFTWcUUR5dC0/xA8VtXYQSaloQcaWOKZEdxRBJGCbEts0QGuans/rM1WaXki16dH0Q/xQk7Qk2/IpbMOgJ22xoy/NtkICQ8DfH1nkzbkqphQM5hIdiZEQhOi0DRMsVl2kgEdfmcGU4oLGzUbtsATwxNHlru7dqeUGp4sNBrKJDdtxrTeqejMJDCk4tlDvGozvpx3YZtnIQL0S242Jibn2uZhA8Wcu9BnEVbEx75+NPCBbFVa6XLlIG4WRk7bZLZjYjAdyo7G0/ZDVhscjL8+QT9nddf/VC1O4geLpY8tIKejL2Fim5MXJEh/ZXmDPUIYgVHzv+DKh1rT8gDMrDVKOiWMa/MItA2QSNo4pmVpt0PQiQ2pypYFtSrxAsbM3iRCwvZAimzQ5U2zQcH1mO0UK7UBhCt1t42WKyLDzO3p1Kw0PL4TJ1Ra2ITBEpGEXhpqEHYVbW16Ip8DQgARLRlW0ho7y+HJJE1NC0jLwQ43rh5xebnLj9jyTq02StsHR+TpCRG25HFN2RI816YRFpeXx4mSJphfw5adO8tCdOzacPxt5iz9xYJDHjy6Rsk0aro+UAgG4gSLjnO99XW9U+aHCsQzaQYgXhN35e65Rf7lz4T6o6QwxMTFbz8WuAmsVsIPA3cCTndc/DjxFXBUbc5nY6rDS5TQaLxRGHu/PbCoxfqMii5YX8MTRJZp+yBszFe7d20/Kjm7cb85VuWVHgd1DGWwpCbXmnj39zJdb/PJHx3j05TlenCyRSZigBSqlKSQtfuGW7YAmZZtknGifpiyTIAx5Y66CZUikEFiG5PhSHVtG+namkGQcg8liA8sUCCRp20ADhuuR7OiwlZs+IZFxtybYG/WX1SgEhox066xOJa0lBBlHYBoSpaPOEqKjnTfWkyJpm0wU62gNO3uT/NIdY0wUG4wUUkyVWtH/phV+GGJIiZAghSBE4wUhpUBTSNnkkzaFlH3R+XNuvhzA08eLNL0A2zRQndYWjrmxLMm5RtXugRSvnCmzVGuTcazzjPqteGj5IKczxMTEbC2XrIoVQnwLuEFrPd95PQL88ZUZXsyHga2qkj3XC7ZWyfrIyzN88YG973ndF9JCu1Ri/LkG7ESxxr949HUEgoxjcvNYgYRl8NJkiU8cGKLS9AAYyCY4udSIGsT7AU03IJe06E05fGQ0x/dOLIEAS8pu3t2jr87iBZqnjy2zezDNQDbBzx4aYaHS4vnJVbIJg1LdZzCfIFSaX7t3nBcmShyZrTBbatOTttnZl2ah0kIIQcONQpZNr6NFZwpagcYQUTuxtV4Mfhj1jRWG5pbRHDv7MowUHB59dZ7Tyw0CN4xC10SGoKkBEVXPHhjJcXA4SzppMVmMCiBaXsDewQxH5io03KArJXJ0vspizaUtQlKmgWlFosA3j+XJJ23mys2Lzp9zj9X69mG7B9JofeG+reuNqslinRMLdcb6Uiit+dSNw2cZbVv50BJ3l4iJidmIzfjtx9eMug6LwL4tGk/Mh5CtCCuteUmqbZ83Zioc3JZjarWF0pqGG/CJ+cpZMiHvlvdS3bjegF2sNHn86BJtN0BIye6BdOSdG8vzg9OrTK00SNkmN4xEXREOjeV5qSN27Ieau67r4Y8eP84bsxWWay5ouH//QDfv7r79A+zss9lWSFKst7l1R4FvvTZPseGyWHHpSZkM5hx29CbpTzs8cGCYBw4Mc2q5xsMvTHNisc5K3aXWDqi3fRBgm+AGUcWrENCbsmi4PqGKQrMCyDgShKCQtHBDQSFl8fhbyzTcgKQtabphN6SbNAU37+whCBVuoLhtRw/HFuuo1RYNN+Anbxjg20cWUWgsIfn83Ts5tdQgn7LZPZilWHdpegFfuHsnf/HDqa7H7r3Mn428eBczmMb7M3zh7nH+3d+9hWVFHsyVusfDz0/xL37mwIZhW7j80j5xd4mYmJhz2cyV7ykhxHeAh4kezD8H/OOWjirmQ8XlDiut95IUUjbH5ms8+fYy1w9nMQxJqDRPHF1+z6LB75U1A7bS8nhlqoLrh7ihRoUBb85VuW4gjZSSu3b18dBdY/SmHRYqra4n6dBonnv39jOYc/jrF2c4tdxgMJcg45hMFJs8d3KFQzvy7BnKkE9GosV+qHhtqsIrU2XStkmoNEM5mxNLDbRu8uZclY/t7efMSoP9wzl2D2TpSdqRmDBgmYJARR42U0qyThS+zSQtVKgIFbT8ABlqFGCbBkKAYUhmKy1+MKGptX160zZ1N8QyNSpQSAG9GYeMY1Fr+2hCXp0q05N2QGiqLY8/e3aK0Z4UKUuyfzjDmZUWP3to21nSIr94+xgp2+Izt46+b/Hfc42kS32/4QWcLjbpzyS6+YpvzVdZbbhsK6TOOuZxLlxMTMyV4pJXF631bwsh/glwX+etP9Fa/+etHVbMh43LGVY610ty02iOU8sN6h0vyR3jPbgdQd33Yzy+27GuGbAPvzBFzfVo+orelI1tSubKTaZWm9TbPr/8Yzu7hsHaflltuEyvNnnmRJGmF/LKVAnbNOg1DOyUwc5+GO1J8it3jfPN1+a6BsQLE6tooUmbJgnT4MRSDcswkFKQsS3qrs+rUyX+5X9+g3/9cwfZVkhy53U9PPH2Im0/RHfCrCaQsiQKwWrDp9yKPHWGhELaRilNteUj0LR9TcrWJG2TpCWZcQO2pywEdI5J1Du10vI4tlAlVJp80qKmAhzbQBDlzwkB+VRUkXtyqcH+oQz9Gee8Tg5bJQp9aUTnlz7799r7xLlwMTExV56LGnZCCAP4jtb6J4DYmIvZUi5XWOlcL0k+abOjN8WtO3vozzidpvfBe/aavJ9k+PH+DL/18T20vCjXrOVHMilCCLKOiR+o876zUGnxyMuznY4SBjePFUg7JtMrTQopC0NI0NCXshkpJLuGxPRqg4nlBtsKSWYrLUZ7kigN1baLGyhaXhuFQCOYWmnye4++zk2jBU4s1pgvNQmFwBCRNl0AFJvvSGn0JS08rWl5IZWmT9KS9KRsHEvS9H3KTY9CygIEt+/qRWiYWGniBYpswsT3Q+peyErDo5C0uHFbjsmVFjdtz5O0DZ45vgzAqeUGhhS0vJDhnIMpo3w/U4rzRKG/9docD921k7Sz8b6/3JWpvWmbg9uihwYpQ5TSHNyWozdtn7VcnAsXExNzJbnonU1rHQohmkKIvNa6cqUGFRPzftjIS/LffWI3L58pXzAhfrNcjmT4fMrml39sJ196rI5taqpNj4xjEmo4udzgq89OdvO01rZnGYKUY5KyTN6cq3LrjgLlpsdcuYVjSm7clufB20a7XRK+cPc4f/j4MUZ7kxSSNklbcmalRTZhUlpxEVoTqqgIwgsCwGSl7jJZbJAwjSgPTivK7juGpikg1JE2XfQ7kgXxQ01Lh2gE6YSFYwY4loFjGgRK0ZO0+a0f381XvncKx5AkLJPvn1hmptTi4PY8aJgttxjKOTS9gKAT4i0kTdwQlNLITgHH//P9CTS6q9lWSOWou1Ee4PMTqzT9kJRlntefd6sqUz9/9ziPvDxL04+qjh+8bfuG8yDOhYuJiblSbMZl0QbeEEL8A9BYe1Nr/TtbNqqYmPfJRl6S28f73rfX5HIlw681jv/zH5xhaqVJ2jLZ2ZfCkILXZsrMV5rs6s+e1XnCEJHkR9sPKTU80pbJ3uEMjiX5xdt3dEWeVxseb86UeXO2iiEEx5dqDGQdBjI2P3PjMH9zeJblistyw8MLFEJA6AV4AciVJrv600CUVydFJDDc8hVS0m0nUWt3xIo7odpQgRuElFserq9I2yZJK5JJEQJySZtf/bFxHjs8R6Xlo4Fd/Wn8UDG10qTY8EhbBg8cGOTnbh/hx/cP8O+/e5xe20BruGlbjpfOlNgzmKU/m6TS8nj+1AqTK02kEJxZaTKQtck4Jq9OlXl+YoW7dvXy4G2jDOeTW1qZ+sUH9sTeuJiYmGuGzRh2f9v5iYn5QLFRMvz7vfFulAwvELhBSNsP37Vx9+sf28WbcxX6Mg5+EDK50qbhhvynH0zzKx/dQU+nbVnTC9jek+DJo0v4oWKyWOej1/XSl0lgSfj2kQUA/uqFKd6YrUSdIJRm30iOfYM5Ki2PQztyLDc8+tMOw9kEL06u4nby6BQgtKDpBRydL9P2QwIVGW1uoDCFQOuo/6thRC3FBNHntgQho7yyoFMe+8kbhhkpRN0wlmttGm5wVr7gw89P44Uh3z2ySKnlYUnB7oE0p4t1vvPmIv/t/bu5a1cvpiEppGzKHemXtTZuWkMIBEohhURpjSElr89UyCRMDBlp5j12eI7P3j4WV6bGxMR8aNhM8cTXhBA270icHNNa+1s7rJiYa5Nzw7xrfUX/8vmpi4b4Kk2P5ZrLQNYhn7K7+V69KZtd/WlemihRcX0EkSerP2vz1WcnySYsGm7AD0+vslBuYZkGw7kEtZbH48eKZJ0yhhBc159kvtJiZrVFPmlTbvr4oeZMscHOvjRBqPjIWIE3Z6vcMd7D08eX0YBGoCWkzUimxDYNlusueVvSCBRhGIVdE7ag7WlsMxIeTlomxYaLKSOpk0yn4vb64SxTq00cK+pWuJHhu62Q4sHbtvPwC1NkkyaB1mzPJ1hp+rS8ANdf4acODvHgbaM8dniO5VobARzclmOx0uLYYp1622e17nHf3m1kHJMXJiUNL8ALFEnLRApBIWWzXGsD+l1Xpl7ufLyYmJiYK8UlDTshxMeBrwGTRA/pY0KIz2utv7e1Q4uJuTZ5x/Pk8efPTZK0ja4naaMQ3zMnlvjjJ0/hK4UlJQ/eto3ZsosfKgSRJ2ykJ4EqaRKd3DTTkLw1X+XePf3sHcpxfLGGYUo+Mlqg7Qe8vVgnaUkSlmSh2mb2ZItCysI2JfsGMxhSECjNUM5hJJ9gotjk9ZkqR2Yq3DiaI2Wb9KUdtNaUmh5eqHFMgdYKQ4Btm3jKJ1AaAxjOJkjaBqtNH8sQZBMWNTeIBIr9kLobGUszpRbjfUleOVMm1Iog1OzqT/GXz08hgI/t7We0N81wPslvfXwPYah5a77Kct3DkJFhmXZMnji6xBcf2HtWOP3MSoMvPfYm0hAkbZNtPQnemK3yiQNDHBjO8vKZMm4QUnd9bh/v6ebT9aadd1WZutXt7WJiYmK2ks2EYv8A+Emt9TEAIcQ+Ik2727ZyYDFXnthLsXkSlsH0aoMfTqyQS1iYhuTmsXw3qX9t/1WaHn/85CnSCZOME/U0/aPHT/K5O3YwUEhRrLWZLbd54PpBnj25Qso2ccOQYq0NRKFHLwhJWia2IXHDEETUj1WhWa66hAoSVtSTtdryOVVsoJWm2g5wvYC2r7lnTx9DuSRBqHjpTAkBjOQThEpRbLh4gSIIFTU3yptbrnlIQTdMW2kHeKECNGGoqbd9pIAdvUmWqi6WaRBqGMrZNFzFT9wwgCElz50sstLwGeuF506t8Ogrs4wUEhwYyfHgrdv57B1j/Nkzpzu9aw1G8gnu3NWL15Gj6cs43X3Zn3G4eUeB3rSNbRpUWh7PnCgytdogl7D4/V842G3P5gUKrYOuAXexytT18x64bPl48fkUExNzNdiMYWetGXUAWuvjQghrC8cUcxWIvRTvjmMLVf7wO8cpNjzqbsi2QoIXJ0scGi2cFeJbrrn4SpFxolMmYRmEShOoqLLTNKP8MDdQ3LIjzwsTJYKOJ+/gthx+qLDNqAhhIGsThppSvU2gNFnTpB1EHjbTlOzsSXFKNVipe+RTFvuHsuweTHNsoYYfap46thQVMyDY0ZPg+pF8lNdXrBMojQSEkLh+iCIy8EwRGXbVlsdIPsv/3969R7d533eef39xJwCKF5G6UDfKsixfYyVm49q52I0Tx9NJo2ydNPFmWrubtMlM52Snu3s2zkn3NKfJzCa7M7udns5Mk7STpu00cRpnqyQ9dcZ2Yqe5W7JlW44iS7JlS6JuFMUbQNx/+wce0BAJkgAJEhd+XufgkHjw4MHv+fEB8OX3dwv5fWRyeQoUJyo+M56iUHCs7wwRCQYI+Ipz8iUzeXpj/pnzO3ByjPFkjkjIT9Dn4/svjnDk7AS3XdXHB2/dQSxSDKT64hGvD93c6WhKAZJ5a9xGQwFu3dnLfbfuoDcWmgmert3cVTGgqtQXbvZ1f8c1fXXpj7ea7ycFkCJSzlfFPgfM7C/M7E7v9kXg4EoXTFZP+RQeA91RYuEA+w8Nk8rmG120ppTK5vnG06cJBnzs2dAJOF65lCSZyXHXdf1XfLn2d4YJ+nxMpbMzz/WZcWFimieOXuCHx0fI5R0nLkzyk5dGyRUK7N4Y5z1v2ML9tw+SSOe4OJliV3+MGzZ3sXtjjGDQzzuu20A0FCCTzZHM5In4fZybTLE+FmBXf4z7hrbyz28eoL8zzLmJFP/w/FlOjSbJZPNEQ346O0Ik0jkuJbL4fX66O4L4fD68MRD4KC751R0LEfC2Bf0+uqIhrurvZOf6KNGQj46An0zOcfLSNJGAjy6vOfj5M+P4zCgUHNlsAeccBRx+n3EpmSHgN8JBP0G/8d2jF/mNoe0EfL6ZgRaVmkpL/RsT6dzMWrD33rKVge6OOQFceaZvob/j7Ov+8SMXMIqDSIAlrRSxmu+nkyNTfP7JE3zphy/z+SdPcHJkqu6vISKtpZpPq38J/B7wMYp97L4P/OeVLJSsrpVez7IeGpGVmO81E+kcBoSDfkIBP9du6uL85DQ3bVnHtZu7rjhGVzTE771tF//puycYS2bI5R3Xborz5Isj+HzG1p4O3rizh2dPTXDLYA+dkeIKDY8cPsdH7tg103wY8BmJTI7LySwBn49tvTFet7Wbfzx8jrPj0wT8PlLZAtFQqDjJbzjIdCbHj45fojcaZDSZ5VIiw8WpDNduLGaOfv2WrSQzOabSOR594TzOOXw+IxbykcgUyBUcOa/pNxLwsbm7g7Fkhl+cnSCfL5BzsD4ept/v48zlJC+PJBlcH+OOa9bzi3NTDI9Ps6u/OHDjyNlJcnnHxs4w5yfT+MwIeYHixcnUFStKLPQ3XskVSkrX/duv6+fJF0cYmUzhgF9/w9aaXme13k/1mFNRRNrPvIGdmW13zr3qnEsD/493kzbU7OtZNqKZuNJrburqmAmyOkIB9myMc/T8FOlsHj/Gbwxtr/iF+ubdG7hpSzenx5J8+9BZOkJ+MgUIeevWdkfDJLI5Dp8Zx+/z4TdjoDsy08esfL1Yo/iFnszkMJ+PeDjA9QNdvH57NwG/j8npLO+8YSN/9eOT/OjEKJOpHPGwv9hcGi+uiBAJ+nn+1Bhfe+oUfl9x6a6eWJDpXJ7pTIHOSJDeaIFwKITPHCNTGQa6oyRSOc6NpeiLh7iUyJLPFZhMZemOhggF/eRcgTzF7N01Gzv50JuvmlmF4Rdnx3n44BmOnJ0glSk2Xb9he/dM/ZaCtGqybPUK8Oe77q/d3EVHKMA3nj6Nz4orXIQDvqqvudV6P61kAKnmXZHWtdAnzd8DbwAws4edc/euTpFktTXzepaNyEpUes3S1CPOmzrjlh3dHHxljN0bYjNZnT2b1s17zK5oqDjC1G90RUOE/D7CQR/TmTyTqQxjiQwb4mHWdYSYSmc5fn6KgM+uKEvQ7/OyfgXGk1my+Tz5guN1mzvpi0dIZnLedCIdnLmcYkt3hJOXpknlCiTTeSIhH35fsb9eAegI+sk7x6uXkqRzBbZ1R7lpyzrikWJ/wDuv6ecbz5zhyLkJoqEAO/tiZPJ5IsEA4YCfl0YSpHKOdCZP1BvNG/QXe3cE/XZFv7e923u5dnOXt+btND84NkI6V1zardprrd4B/nzXPRQzpv2dkSVdc6v1flqpAFL9bUVa20KfAFb2+1UrXRBprGZdz7IRzcSzXzNYNvVIX2cHyUyOg6+M8cDtgyQyOcDmrA9aKeNR+iLO5gvs3dbFUycvk8rmyeQLvGF7N4lMgfHpDD4zdm2IkSs4EokME6ks6Wyew8MTYJDK5Pnf7h5g14ZORqbSPHL4HMNjyZkv4YtTaaazeVLZAt3RIOPJLJAjm3Pcc/MGOkJ+fvLSKOlcnn98/hw+n+HzGdlCgRfOTnLrzl7edfMAjxw+x87+OBu7Ihw4eZnDw+P4zbhuUycdIT8F5xgeT9HZEWBdNMgd1/TTGQlcMSnx7L5vA91RBrqj3Lytu6ZrbaUC/ErX/aWp9LKvudV4P61EAOlTKpUAACAASURBVKnmXZHWt1Bg5+b5XdpUM86gv9rNxKlsnnQuP9OBvvSlDsWsG7z2Rf/yyBRPvjgyk9m458ZN9MXDM8HW7IxH+RdxKptn98Y4d1+/iZ19Uf7iBy8TDwcIBwMUCgXSuQIjU2m+/ewwP33pEqdGp+nqCBIO+unuCPBPxy7xum09rI+H2bE+NhNAnBuf5tuHznJhMs1UKkskGMC54vx43bFQcQkwB3s2dXLw1cuYz4ojTTG6OkJsXx/lnps20RkJzgQ3Qb+P267q5fxEml+9aRM/fmmUdK7Am67u5y2719PfGeEbT59mXUew6r9RrdfaSgb4s8tSr2tuNd5P9Q4gW6G/rYgsbKFPqpvNbIJi5q7D+x3vvnPOzd/uJFIni2Ul6tkXqLwJaiqVYyqdJRYOzKx6UArUSqspPH7kAl3RENFQgNOjxclzb9zaxeHT47x+ezdbe2NzMh6DfXHuuXFTcVStz3jk8FmcKy6N9dypca7eGKcvHuaeGzfxyOFzxMLFZk8MEpk8oYCPgN9HrvDafHmlWynbsr4zzF3XbuDrB0+TyWfpDAfZvSFG0B/gX9y2nc1dUX5xdpzP/MMR8gVHOpdna0+US4liMPitQ8Um1UQ6x+nLCY6emyKVy1PIO+67dXvFQKK0SsRKNT2uZoDfzF0TKqlnANns/W1FZHHzvludc835KSZrznxZiVr6Ai0WAFZqghpPZmbmSCsNYCh90d91XT+PHblANBQgmy9w9PwUWHEuOMxx9PwUG7s65mQ8Utn8TP+toN/H40fOA3DXdRvZ2hNlZDLNu/cOEA4Um2w7QgFi4QAb13WQzuXZ1R9jKpOn4NycL9tEOse090XcEwtx/UAn5yfSbOuNEQ8HGOiOsC5S7Pd27eYubrtqPVPpHC+cmeDFC5OMJ7NcvTFO1KuDsWSGgycnCfqLWb09W+Izo3XXx8NXvPamrg7eN7SVUrN0vYOgpQZbSw38m7VrwkprtaBWRObSv2HSEmZnJWrpC1RNADhfE1Q44Ku4cgHAky+OMDGdYTpbYDSRZjyZ5QXfBOfH0/TE3MwxDWaeU9oW9Pu4nEjjgIDPSOcKZPIFnjszjvvJK0SDAaZSOeJeBmV9LMi5iTwTqTw4V3EKjpGpND85cYnRZBYMcvkCm7s6uGNPPwYk08Vm5vFkhlzB8a6bB/j2s8Mkc3lcATo7AiTSeX584hL33Li5OJXLQJwt3THCAR9Bv29m/rjy1z56bmJmBGkpMKims32tQVetwdZyBwE0Y9eE1bBWg1qRdqHATlpStX2Bqg0Aq2mCKm/yTKRz3LRlHV/8/stM53KcuJDg6g0x+uIRCs5x4vwUjx05R8Dn44aBdZwbn2awL04sXAzYnjt9HgxevZSkvzOEz+DAyctEgn6298aKzcHpLIl0js1dYU5cyHHbVevpjARmRuDOXgrr288OEwz6CAeLAxuy2Ty5gmNyOksqm8c5+C9PnOD4+Sl2bYjR3xnh1p29/OD4CDdsWcepy9MAnB1PMTKVIhryAwF8xkzdzK6To+cmZtZvjQT87NkUr6qz/VKDrmqDLQ0CWJ61GtSKtAMFdtJyigMcipmwxfoCVRsAVtsEVQpIpjM5nj01zuu2ddERDGDuPGPTOToTaUJ+P/3rwrxxcD2buzvI5gszQQWAlVZ3MGNDZ4hs3nFqNEEqm+ctu/sI+n0z53LfrTsIB3wEfEau4GYyKJWWwkpm8sTDQTat6yBXcCTTOQb7o7zr5s18+9AwgYCP509PEIsEODueZmtPlO+9eAGz4vJhA10RTl2eJpMrzpP3m788CLBg/8ZvPH0av8/oi0fI5PMcPTfFNRvjC3a2X42gS4MARGStUmAnLaU8oEmkc8UJeCOBeQdVBHxWdWfwxZqgygOSjlAAv2+C4xcS3L5rPb3xCB2hPK/f3oNzBX7yUo7N3R0zQVopqIBidvCu6zaSyeUJBfycG5/m7hs2EPSdx4CpdI5MthiYxEL+mdG4lcpROqfHj1wk5DfyBUe+UAweHRANBhgem+apVy4TDvg5MzbN1f1xCs7h8/lIZgpksnmOnZ/E5zPWx4Lcsr2Lj73tmpnXLV/9IldwpLJ5IkH/FStwZHLFNW3Hp7Nz+v/NbnItb45OpLOEAv6Zv6cGAYiILI8+5aRlVB7gkOW+W7fRG3ttbdDZ2azSZMLVdAZfqAmqPAuUzRcIB/3F0aLOsWdTnGdeGSOdLQYQs0fRlgcVpbnsYuEgyUyOVDbPd49c5OJUikdeuEw05CeZyXPLjh7+8kcn5zRTzpeNeueNm5jOFvj52eIA9q09HUymcnz+yZe4OJFme1+UoN/HiZEpdvTGSGdznLyY4Par+3jxfIJkNocV4IO/PHhFABcJFoPPhw+eIZnNEQ0GuPeWLfREQzjgqv4oL11MMjGdoVC4sv/fQit4PHf6PD5fcT3ZXf2xugZdGgQgImuVAjtpCalsntOjSVLZPP2dEaB8gIP/ikzd7OCvNJlweVPmUszOAu3ZGOeZV8cYTWSIBP18at8N9MXDxMIBXrmUmDOgoPS65QGHYThXPPZUOs/VG+K8PJLg6g1xJlI58vkCDx88w++97eo5Ex1XWgrrQW91h3S2wDeePk3A7+PMWJBYKMCp0STrO8MMX56mLx5kKp1j14YYg32dbOmJkcnlOXZhir87cIpoyE9HKMC+vQP0REN8/skTnLpcXJO2UHCcGUuypbsYoJ24kGBnf+yK/n/z/S32HxrmgdsHcd7MmKVZ0N0KzJSpQQAishYpsJOmN7tfmxls7YlVbF6bL5uVK7g5U3TUanYWKDwrmCvPUj1y+BwGFJzjnhs3XZFxKw840rk8f/vTV/H5fBSco8Mrt3Nw8lKCdK5ALl/grrP97N3eO3OMO67p4/EjFytmo3pjYU6PJsnmC/R1RvCZ0REOsLW3g+s3dzG0o4ffvG0HsVCAv/zRyZkAcXgsyY+Oj7C9J0pHuBi4/uUPT4KDJ46OEI8EGFwfxRfw8dOXRrn3li1cP9DN1p4ol5MZ/tWdV1/RbFxpBY+JVJbTY9PEI8Xm6HSuQDjgq7hSRT1oEICIrDUK7KSplWd9+r0g5ZlXxnCOOZkwWLm+VaV+Ypu6Oqruh9ffWVy/9ZHD59ixPjZnsEZphG3Q76NQKOAzI53N4zPj1dEkQb/RGQ4ync3x+JELXLu5a2Y+vdI0Km+/bgPXbu6a0/SZyuZ59tQ4PjNu3tbFgZOXSWWLzaH33rKFge4o8Fr28PxEip+9PEpfPMSGrg4yuQI/PzvJVDrL3m1dhALFNWBfHU0y0N2BwxEJFuu0uL5tjlzhyrRb+d9iOpObWUIt5DNSuQLd0QLxsPq/iYjUkz5JpanNzvps7Y1RcI5737CVrb3ROYHVSvStqmWetlpHY5aXtzitSYI9mzp5/vQ4Gzo7yBUK7PXWVT07nuSbh84SDvjoCBWXHnvyxRGu3dwFzA0qzeCZV8a4eVsXN2/t4q5ZQSAwsxLGf/vJK5jB+HSO0USK3liEixNZ0vkCfvORK+SZmMqSLxSXJ9sQD+Pz2lHnC8xK5/bwwTP89OVLRIJ+3ry7z1upI8l4Mqv+byIidabATppapQxcRyhQMagrqWffqlrmaatlGpb5yhvwGYlMnr/+0ctEQgHyhQKHTo2Ryub5m5+c4uLENIlMoTiq1YzNXeGZoHFOENwTwznmDYJLZX7k8Dk2d3dwZqw4d92py9NMTGe5OJmmOxbikcPnGOjqYDSRZdrLuP3LX7ma589MMDyWXDAwG+yLc9+t25hMZdm4Lkw0HCTo9xGPBLjv1m2EA371fxMRqSMFdtLUlpqBKz1emmJkKYFDLfO0zZ6GZSyZIRTwEw35edfNA4uWo7wvWFcU3v/G7Tx88DQ/PnGJgN/HbVf1EvT7+c7hs+ze2ElXR4ipdJYTFxIEvNRZpSA4EvQvGASXgsH+zgh7t3Vx6NQ4XR1BnIN33TyAD/j24XNcnMqwvTfK9QOd4ODmbT3cfnV/VcHzZCrH0XOTHLs4NRMchwP+K0Yyi4hIfSiwk6a3lAzccpeTAmqap6189OfpywkOnpzk2oE4Y8kCX/3ZqzNBV7XlGOyL8+bd/fzgxAjRoI/Dw5NcsyFGdyxELu+4lEiDg539sZm+bUsJgsuDwfXxCEODPs6OTRMO+tmxPk42X2Dn+hiTqSxDO3qIhgNX/B2qWav1kcPneP32bo6enyKdzfPMK2N8at8NCupERFaAr9EFEKlGJOhnfby6DE95oDXQHSUWDswMKKjmuZem0qSy+ZmJiPdsjJPO5RmZTFHIz12ndfb8dkfOTuJw9EbDvDKa5MTFBP2dkZrL8YNjI8SCxcAr4PPx/PAEsYCf3RtiGJArOF6+mGBkKj3zvFIQ/Ntv2slH7th1RRBZfm7l9bpvbzGjODyWJJMr8MFf3jEzqGFiOkMyk+PCRJrvv3iRM5eTNfWHK9XN1t4Yb72mn7fu2cDN27ro80YoVyqTiIgsnTJ20naWupxUpSxfKQO2e0MMB1fM01ZSnvW6NJXm+IUp/D7jZy+PkssX6AgHyOTyxMLBqpe1SqRzXE6myTvHiQtTAHSG/fzW7Tt46GenCQZ8xbn0NsXnjLqtlElbKINZKSMaDvhmBj1EQwHuvWUrfp+RyxfY1NVR9d9idvNw6fXTuQJHz03wyOFzy8qqiojIlZSxk5ZSTYanPJiA+Udtzj5upSxfaXqT33nrLn7/HXvmBHXwWtZrPJnlqZOj+MzY3ttBPBzg3ESanNeMW6kc851PwGecuJAgFg5w05YudvRGMYwXhicpwMzqFlt7YjP9+mo9t9mZu/KMaGnQw01burjruo1s6uqgvzOCgwVfa766KWUET48mmUrn+Osfn+RT+18gnc3XnFUVEZH5KWMnLaPafnNL6Wu2UJavmibgUiCUzOSIh/0cHp4knS/Q1RFgW28HFydTc8qx0PnkCo6rN8YZHksxPp0hX3AUDDojQXqiIczgheEJoiH/okHrUjOYvbEw6zqC8y6NVq1SRnA0keYrPz1FVzSIcw6f3zh6foqNXR1Vl6mS2WvRioisZQ0J7MysF3gIGAROAr/hnLtcYb/7gT/w7n7GOfdlM4sCfwfsAvLAt5xzD3r7PwD838AZ7zl/6pz785U7E1kt8y1PVWnaEZjbvAhwaSo975d/PSY2LgVCsXCAt17Tz3gyQzbv+PBbds5Zzmyx84mFA/TFw0RDfn5+doJMrsDlqQw+g73bunj61TEuJ9OMTGb4F7dtr3qARC3nVs85AYvNu34cbqZJNhLwk/amiCkFj7UGjfUYJCMi0k4a1RT7IPC4c2438Lh3/wpe8PeHwK3AG4E/NLMe7+F/75y7Fng98CYz+2dlT33IObfXuymoaxOVsk6LNUGWmhfPjU/z+SdP8KUfvsznnzzByZGpivuWNxkm0rmag5jXmmQzvHopQTZf4N5bttAVDc3J+i12PpGgn3tu3MRzp8ZxBYiFgwx0R3jm1TFyBeetPGHMV7zyJt7lnFspQP4fb93O+4a2Ldi/brFm8vIAM+j3sWdTnHzBMTqVWlJ9L2eQjIhIu2pUU+w+4E7v9y8DTwAfn7XPO4FHnXOjAGb2KHCPc+4rwPcAnHMZM3sa2LoKZZYGWmrWqZZMX/0mNjZvdXubd49qzqcvHubmbV30xiOEAz7GpzN8/8WLfP/Fi3RGgvzKtRuIhgJzzme+LNZSz618GbP5smLVZM7mrLUbqLzWbrWW2sQsItLOGpWx2+icOwvg/dxQYZ8twKmy+6e9bTPMrBv4NYpZv5J7zew5M/u6mW2rb7GlUarJOlXKGNWa6atlWpXZSkFkVzTIrv5OuqLBeTNI1ZxPaboVnxUHS0RDAW7e1sXrvAENffHInPNZKIu1lHOrJitWS+Zs9nQsezatW3J9L2WQjIhIu1uxT0AzewzYVOGhT1Z7iArbZlYZN7MA8BXgT5xzL3mbvwV8xTmXNrOPUswGvm2e8v0u8LsA27dvr7JI0kgLZZ3myxgtp+9crZ3ya80gLZZFq9TH7T03b+Hbz59lOpMj2BGacz6jiTQT01m6o6GqylCPc1rK+rj1yKitxLrAIiKtbsUCO+fc2+d7zMzOm9lm59xZM9sMXKiw22lea66FYnPrE2X3vwAcc879cdlrXip7/IvA5xYo3xe8YzA0NOTm20+aS6WgYLHm1qV8+S+lU/5SgsjFgpzy4G9kKs0jh8+RzOR57tRFdm2I0d8ZmTmfkyNTPHzwDM+fGefYhSmGBnuIhgLLymJVc071GHiyVPVcF1hEpB00qin2m8D93u/3A/sr7PMd4G4z6/EGTdztbcPMPgN0Af+m/AlekFjybuBIncstDbJQx/zFmlsXWo1hvtcqb1oMBXx85WevMp7MLPi8xZpXl7PKQjpX4NvPFst03eYu3rqnn1g4wAO3DzLYF7+iGfgtu/sA+MGxEcaTmWVlsappMq7HwJPlWE7zuYhIu2lUZ5TPAl8zsw8BrwLvAzCzIeCjzrkPO+dGzezTwFPec/7I27aVYnPuL4CnzQxem9bkY2b2biAHjAIPrOZJSe2qae5cLHtWTcaolua/8kDx0lSKQ6fGGZ/O8J+fOM59b9y+YGA4XwapdA6pbJ6CcxVXsKhUL6Us3UQqy/Onx3nz7j6ioQBdHSES6dzMOrHlZY6GAtx13UZeHU1w3607GOiufqWIWs6p1n1ERGTlNSSw85pM76qw/QDw4bL7/xX4r7P2Oc08ww2dc58APlHXwsqKqaa5s5pRrYs1t9baV64UKI5PZzh0apyCK869Fg/PHYFayewgsnQO6VyeF89Pkcrlee7UC3xq3w0Vg7tSvUxncjx7apzX7+hme2+MY+enOHDyMnddt3HOvG+Vlu5aFwnSGwst/oeoQjWBcb36zomIyNJpSTFpiGpHUlY7qnW+5taTI1OLzmE3W2kOubNj05ydmOalkSkmU1kOvjLGyFS6piW1SueQyuY5em6KcNBHfzyC32d84+nTc863vF56vf2OniuW+ZcGe0hl87x6KTGnubPRzaEiItIcNC9Ai2mX5ZOqHUlZS8f8+TJl1a5WUXJyZIpHDp8j4DcuThSXAktk8oxNJxhLpAn45p+frpJYOEDBOVK5PJ2RIJlcgXDQj3n1MN/Exdl8cb9ULk8ml6cjFODWneu579Zt9Mbm9ilTc6iIiChj10KWkn1qVtXOQbacTFStc9ilsnmGx5I8fPBMcUmvzggBn49UtoBzjoDPRwFIZBbO2M0eJBEJ+vn1N2ylkHeMTKZI5/Ls2RinIxSYc75zVmfYGKeQd4wmikHvvbdsYaA7Ou/5LzSQYDmDN0REpDUoY9cilpp9Kj232bI4tUxDstRMVC3ZvlK/tonpLM+fGectu/vw+32Eg346Qn629cYI+Y3RRIbZXTzL63e+VRr2bFrHp/bdwDeePo0BYe/8I0H/nL/PFaszBJe3OsPs89OaqiIi7U2BXYtY6vJJzfyFXkvAtpSO+dUGj+VBc3c0xLELUzx18jJ3XNPP+liI8xMpMtkcubyPGwbWXTEgobx+DZhK59jSE60YfO/ZtI7ff8eeK863muW/gJr79c13frX8U9CM/xCIiMjCFNi1iKVMArucLN9qWemRlNUEj7OD5qHBHn5wbIRfnJsgX3B0dwRIZPLcuCXO/bcPXjHatrx+L06meGF4YiZwrhR8l5/vYn+fhQK/Wizln4Jm/odARETmpz52LWIpfc1q7WPWaCvVB2yxCWxn9/eLhgLcsr2HrkiQe27cxPt+aQd37tlAd0eQTV2vzQk3u35Ly3iVJjJeLPhe7O9TyxqsC6l1TdV6va6IiKw+ZexaSK19zRq51FO5ekxCvJIqNdm+88aNPHbkAus6isFaf2dkJqAunUOlueOu37yObN4xPJZcdPmyxf4+S21+r+b8FipXvV5XRERWnwK7FlNL02UzLJJer0mIV1qlfm1Pvjiy6GoWs+v3gTcNsqmro+p+gwv9feoZmNfyT0Gz/EMgIiK1M+dco8vQcENDQ+7AgQONLsaKqbUTfL06zaeyeT7/5IkrArZEOjcnYLs0leZLP3yZge7ozLbhsSS//aadrI+Hl/S6C5W/2vOrNou43Ppa6PmNymSqj52ISPMys4POuaFKj+lf8DWglixfPb/QV2IS4uWWv5bzqzbLtdwBIAs9v1GTDmuyYxGR1qTBEzKj3p3mV2MS4lrKv5TzW2zgxWqopQyVBqAsdVBKM5y7iIjURhk7mVHvTvOrMQlxLeWv9/k12zxvlbKRgJpURUTWEAV2MmMlOs2v9CTE5RYr/2o2+a62SgNQHj54BnB0RUNNO4+hiIjUl5piZUa9mkQrHXc1mvQWK/9qNfk2QqVsZDKbI5nJt8w8hiIisnzK2MkVWr3T/GLlX40m36VaTtNupWxkNBgAnKYtERFZQ/QJL3Os9DJfK22x8q90k+9SLLdpt1J/xntv2QLQ0HkMRURkdWkeO9p/HrtW12yDFKC+feyqne+v2mPNrqtmrD8REVk6zWMnLavZBimU1LPJup5Nu5Wyka2egRURkepp8IQ0hfnmX2u2QQrl6jUopNr5/kRERBajbw5puPmycmtlMfpmWNNXRETagwI7aahK86+V5lpbS4vRlzftBnxGruBIZfMK7kREpCbt9w0pLWWhrNz6eHhNZbIiQT/nxqebsk+hiIi0BgV20lCLZeVafV69WiyUvWzn8xYRkfrR4AlpqGpWg1gri9FXyl7WulJEpUEoIiKydihjJw23lrJyC1lun8JmnRpGRERWjzJ20hTKs3JrNeu0nLVsm31qGBERWR3K2ElTWetZp6VmL9fK1DAiIrIwZeykaSjrVLSUPoWa5FhERECBnTSRegweWKuW04wrIiLtQ//OS9NYSxMSrwQNQhEREWXspGko67R89ZwaZq0OYhERaWVKhUhTUdapOaz1QSwiIq1KGTtpOu00IXErZr00iEVEpHUpYyerIpXNt2wWbqllb9Wsl6ZOERFpXQrsZMW1aoADSy97K6/7qkEsIiKtS02xsqJauVlvOWVv5albNIhFRKR16V9wWVGr2axX7+be5ZS91bNeGsQiItKaWuNbRlrWagU4K9Hcu5yyl7Je+w8NM5bMzJSplQKkSNDfUuUVEREw51yjy9BwQ0ND7sCBA40uRtta6T52qWyezz954or+bIl0ri792ZZb9kYNGmnlwSoiIrIwMzvonBuq9JgydrLiVrpZbyWbe5db9kZkvVp5sIqIiCyPBk/IqljJuenKm0yBujf3ttK8eq08WEVERJZPgZ20PI3iLEpl85weTTLt9QmEYvZyOpPj9GhSwZ2IyBqgplhpC2t9FGep+TWVzfPsqXF8ZmztjXF6NMGzp8Yxs5kAWM2yIiLtS4GdtI12HsW50GCI8ubX/s4IZvDMK2Nk8nleODPJ63d0s7Un1lKTJIuIyNIosBNpcosNhpg9eGRrTwzn4K5rNxD0+9naEwO0NJiIyFqgPnZNqhUXj5f6q2YwRKXBI5Ggn90bO4kE/Ss2qERERJqPPuGbkKarkJJqpnKZbzLkrmio5SdJFhGR2iiwazKtvHi81F+1q1/MN3hkrQ8qERFZaxrSFGtmvWb2qJkd8372zLPf/d4+x8zs/rLtT5jZUTM75N02eNvDZvaQmR03s5+a2eDqnFH9tPLi8VJ/tUzlMt98e6sxD5+6DoiINIdGZeweBB53zn3WzB707n+8fAcz6wX+EBgCHHDQzL7pnLvs7fJB59zsdcA+BFx2zl1tZh8APge8fyVPpN5affF4qb9mz7qp64CISPNo1OCJfcCXvd+/DLynwj7vBB51zo16wdyjwD01HPfrwF1mZnUo76rRZLtSKfvVrKtfNONKF8oeisha1qg00Ebn3FkA59zZUlPqLFuAU2X3T3vbSr5kZnngYeAzzjlX/hznXM7MxoH1wMgKnMOKafYMjaycVst+reQ6vUvRavUnIlJvK5axM7PHzOxwhdu+ag9RYZvzfn7QOXcT8Bbv9ptVPGd2+X7XzA6Y2YGLFy9WWaTV06wZGlk5zZj9WsxKr9Nbi1asPxGReluxwM4593bn3I0VbvuB82a2GcD7eaHCIU4D28rubwWGvWOf8X5OAn8LvHH2c8wsAHQBo/OU7wvOuSHn3FB/f/9yT1dk2Vpx4EwzdR1oxfoTEam3RjXFfhO4H/is93N/hX2+A/y7shGzdwOf8AK2bufciJkFgXcBj8067o+B9wLf9ZpoRZpeqw6caZauA61afyIi9dSowROfBd5hZseAd3j3MbMhM/tzAOfcKPBp4Cnv9kfetjDwHTN7DjgEnAG+6B33L4D1ZnYc+F8ojrYVaQnNlP2qVTN0HWjl+hMRqRdTQguGhobcgQOzZ04RaYxUNt/w7FcrU/2JSLszs4POuaFKj6mNQqTJRIJ+BSTLoPoTkbWsUU2xIiIiIlJnCuxERERE2oQCOxEREZE2ocBOREREpE0osBMRERFpEwrsRERERNqEAjsRERGRNqHATkRERKRNKLATERERaRMK7ERERETahAI7ERERkTahwE5ERESkTSiwExEREWkTCuxERERE2oQCOxEREZE2ocBOREREpE0osBMRERFpEwrsRERERNqEAjsRERGRNqHATkRERKRNKLATERERaRMK7ESkZqlsnktTaVLZfKOLIiIiZQKNLoCItJaTI1PsPzRMNl8g6Pexb+8Ag33xRhdLRERQxk5EapDK5tl/aJhYOMBAd5RYOMD+Q8PK3ImINAkFdiJStUQ6RzZfIBoqJvujoQDZfIFEOtfgkomICCiwE5EaxMIBgn4fyUwxkEtmcgT9PmJh9eoQEWkGCuxEpGqRoJ99ewdIpHMMjyVJpHPs2ztAJOhvdNFERAQNnhCRGg32xfnIHbtIpHPEwgEFdSIiTUSBnSwqlc3rS1yuEAn6dS2IiDQhgKlYuAAADhJJREFUBXayIE1tISIi0jrUx07mpaktREREWosCO5mXprYQERFpLQrsZF6a2kJERKS1KLCTeWlqCxERkdai1IssSFNbiIiItA4FdrIoTW0hIiLSGtQUKyI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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "____\n", + "## Rendements quotidiens cumulatifs\n", + "\n", + "Super ! Nous pouvons maintenant voir quel titre a eu le plus grand écart de rendement quotidien (vous auriez dû vous rendre compte que c'était Tesla, notre graphique original du cours de l'action aurait dû aussi le montrer).\n", + "\n", + "Avec les rendements cumulatifs quotidiens, la question à laquelle nous essayons de répondre est la suivante: si j'avais investi 1$ dans l'entreprise au début de la série temporelle, combien vaudrait-elle aujourd'hui? Cette question est différente de celle du prix de l'action à la journée courante, car elle tiendra compte des rendements quotidiens. N'oubliez pas que notre simple calcul ici ne tiendra pas compte des actions qui redonnent un dividende. Examinons quelques exemples simples:" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Disons qu'il y a une action \"ABC\" qui est activement négociée en bourse. ABC a les prix suivants correspondant aux dates indiquées:" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + " Date Prix\n", + " 01/01/2018 10\n", + " 01/02/2018 15\n", + " 01/03/2018 20\n", + " 01/04/2018 25" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Rendement quotidien**: Le rendement quotidien est le profit ou perte réalisé par l'action par rapport à la veille. (C'est ce qu'on vient de calculer ci-dessus). Une valeur supérieure à 1 indique un profit, de même qu'une valeur inférieure à 1 indique une perte. Il est également exprimé en pourcentage pour mieux transmettre l'information. (Exprimé en pourcentage, si la valeur est supérieure à 0, le titre vous a donné un profit, sinon une perte). Ainsi, pour l'exemple ci-dessus, les rendements quotidiens seraient" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + " Date Rendement quotidien %Rendement quotidien\n", + " 01/01/2018 10/10 = 1 - \n", + " 01/02/2018 15/10 = 3/2 50%\n", + " 01/03/2018 20/15 = 4/3 33%\n", + " 01/04/2018 25/20 = 5/4 20%" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Rendement Cumulé**: Bien que les rendements quotidiens soient utiles, ils ne donnent pas à l'investisseur un aperçu immédiat des gains qu'il a réalisés jusqu'à présent, surtout si le titre est très volatil. Le rendement cumulatif est calculé par rapport au jour où l'investissement est effectué. Si le rendement cumulatif est supérieur à 1, vous faites des profits, sinon vous êtes en perte. Donc, pour l'exemple ci-dessus, les gains cumulatifs sont les suivants:" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + " Date Rendement cumulé %rendement cumulé\n", + " 01/01/2018 10/10 = 1 100 % \n", + " 01/02/2018 15/10 = 3/2 150 %\n", + " 01/03/2018 20/10 = 2 200 %\n", + " 01/04/2018 25/10 = 5/2 250 %" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "La formule pour un rendement quotidien cumulatif est la suivante :\n", + "\n", + "$ i_i = (1+r_t) * i_{t-1} $\n", + "\n", + "Ici, nous pouvons voir que nous ne faisons que multiplier notre investissement précédent à i à t-1 par 1+notre pourcentage de rendement. Pandas rend cela très simple à calculer avec sa méthode cumprod(). En utilisant quelque chose de la manière suivante :\n", + "\n", + " df[daily_cumulative_return] = (1 + df[pct_daily_return]).cumprod()\n", + " " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Créez une colonne de rendement quotidien cumulatif (cumulative daily return) pour le dataframe de chaque société automobile.**" + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 44, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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HighLowOpenCloseVolumeAdj CloseTotal TradedreturnsCumulative Return
Date
2012-01-0329.50000027.65000028.94000128.08000092810028.0800002.685921e+07NaNNaN
2012-01-0428.67000027.50000028.20999927.70999963010027.7099991.777512e+07-0.0131770.986823
2012-01-0527.93000026.85000027.76000027.120001100550027.1200012.791268e+07-0.0212920.965812
2012-01-0627.79000126.41000027.20000126.91000098630026.9100002.682736e+07-0.0077430.958333
2012-01-0927.49000026.12000127.00000027.25000089700027.2500002.421900e+070.0126350.970442
\n", + "
" + ], + "text/plain": [ + " High Low Open Close Volume Adj Close \\\n", + "Date \n", + "2012-01-03 29.500000 27.650000 28.940001 28.080000 928100 28.080000 \n", + "2012-01-04 28.670000 27.500000 28.209999 27.709999 630100 27.709999 \n", + "2012-01-05 27.930000 26.850000 27.760000 27.120001 1005500 27.120001 \n", + "2012-01-06 27.790001 26.410000 27.200001 26.910000 986300 26.910000 \n", + "2012-01-09 27.490000 26.120001 27.000000 27.250000 897000 27.250000 \n", + "\n", + " Total Traded returns Cumulative Return \n", + "Date \n", + "2012-01-03 2.685921e+07 NaN NaN \n", + "2012-01-04 1.777512e+07 -0.013177 0.986823 \n", + "2012-01-05 2.791268e+07 -0.021292 0.965812 \n", + "2012-01-06 2.682736e+07 -0.007743 0.958333 \n", + "2012-01-09 2.421900e+07 0.012635 0.970442 " + ] + }, + "execution_count": 44, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 45, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Tracez maintenant les colonnes de rendement cumulatif en fonction de l'index de la série temporelle. Quel titre a affiché le rendement le plus élevé pour un dollar investi? Lequel a affiché le rendement le plus faible?**" + ] + }, + { + "cell_type": "code", + "execution_count": 46, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 46, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", 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La deuxième moitié du cours est celle où nous nous plongerons vraiment dans les fonctionnalités conçues pour les séries temporelles, l'analyse quantitative, le trading algorithmique, et bien plus encore!" + ] + } + ], + "metadata": { + "anaconda-cloud": {}, + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.7.5" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} diff --git a/07-Projet-Analyse-Boursière/Ford_Stock.csv b/07-Projet-Analyse-Boursière/Ford_Stock.csv new file mode 100644 index 0000000..df7e5f2 --- /dev/null +++ b/07-Projet-Analyse-Boursière/Ford_Stock.csv @@ -0,0 +1,1259 @@ +Date,High,Low,Open,Close,Volume,Adj Close +2012-01-03,11.25,10.989999771118164,11.0,11.130000114440918,45709900.0,7.687117576599121 +2012-01-04,11.529999732971191,11.069999694824219,11.149999618530273,11.300000190734863,79725200.0,7.804529666900635 +2012-01-05,11.630000114440918,11.239999771118164,11.329999923706055,11.59000015258789,67877500.0,8.004823684692383 +2012-01-06,11.800000190734863,11.520000457763672,11.739999771118164,11.710000038146973,59840700.0,8.087702751159668 +2012-01-09,11.949999809265137,11.699999809265137,11.829999923706055,11.800000190734863,53981500.0,8.149862289428711 +2012-01-10,12.050000190734863,11.630000114440918,12.0,11.800000190734863,121750600.0,8.149862289428711 +2012-01-11,12.180000305175781,11.649999618530273,11.739999771118164,12.069999694824219,63806000.0,8.336346626281738 +2012-01-12,12.180000305175781,11.890000343322754,12.15999984741211,12.140000343322754,48687700.0,8.38469123840332 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"cell_type": "markdown", + "metadata": {}, + "source": [ + "# Projet d'Analyse Boursière\n", + "\n", + "### Remarque: Vous êtes libre de considérer ceci comme un exercice complet ou simplement de voir la vidéo des solutions comme une revue de code pour le projet. Ce projet est conçu pour être assez stimulant car il introduira quelques nouveaux concepts par le biais de quelques astuces !\n", + "\n", + "Bienvenue à votre premier projet! Ce projet est destiné à couronner la première moitié du cours, qui a principalement porté sur l'apprentissage des bibliothèques que nous utilisons dans ce cours, la deuxième moitié du cours traitera beaucoup plus des techniques financières et des plateformes de trading quantitatif.\n", + "\n", + "Nous analyserons les données sur les actions de quelques compagnies automobiles du 1er janvier 2012 au 1er janvier 2017. Gardez à l'esprit que ce projet est principalement fait pour pratiquer vos compétences avec matplotlib, pandas et numpy. Ne déduisez pas des conseils de trading financier de l'analyse que nous faisons ici !\n", + "\n", + "### Partie 0: Importations\n", + "\n", + "**Importez les différentes bibliothèques dont vous aurez besoin - vous pouvez toujours revenir ici ou importer au fur et à mesure :)**" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import pandas as pd\n", + "import matplotlib.pyplot as plt\n", + "%matplotlib inline" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "____\n", + "## Partie 1: Obtenir les données\n", + "\n", + "### Action Tesla (Ticker: TSLA sur le NASDAQ)\n", + "\n", + "**Note ! Tout le monde ne travaillera pas sur un ordinateur qui lui donnera un accès complet pour télécharger les informations boursières en utilisant pandas_datareader (pare-feu, permissions d'administration, etc...). Pour cette raison, le fichier csv pour Tesla est fourni dans un dossier data à l'intérieur de ce dossier. Il s'appelle Tesla_Stock.csv. N'hésitez pas à l'utiliser avec read_csv !**\n", + "\n", + "**Utilisez pandas_datareader pour obtenir les informations historiques sur les actions de Tesla du 1er janvier 2012 au 1er janvier 2017.**\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "import datetime" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "import pandas_datareader.data as web" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [], + "source": [ + "start = datetime.datetime(2012, 1, 1)\n", + "end = datetime.datetime(2017, 1, 1)\n", + "tesla = web.DataReader(\"TSLA\", 'yahoo', start, end)" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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HighLowOpenCloseVolumeAdj Close
Date
2012-01-0329.50000027.65000028.94000128.08000092810028.080000
2012-01-0428.67000027.50000028.20999927.70999963010027.709999
2012-01-0527.93000026.85000027.76000027.120001100550027.120001
2012-01-0627.79000126.41000027.20000126.91000098630026.910000
2012-01-0927.49000026.12000127.00000027.25000089700027.250000
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HighLowOpenCloseVolumeAdj Close
Date
2012-01-0311.2510.9911.0011.1345709900.07.687118
2012-01-0411.5311.0711.1511.3079725200.07.804530
2012-01-0511.6311.2411.3311.5967877500.08.004824
2012-01-0611.8011.5211.7411.7159840700.08.087703
2012-01-0911.9511.7011.8311.8053981500.08.149862
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HighLowOpenCloseVolumeAdj Close
Date
2012-01-0321.18000020.75000020.83000021.0499999321300.016.103352
2012-01-0421.37000120.75000021.04999921.1500007856700.016.179853
2012-01-0522.29000120.95999921.10000022.17000017880600.016.960161
2012-01-0623.03000122.24000022.26000022.92000018234500.017.533915
2012-01-0923.43000022.70000123.20000122.84000012084500.017.472712
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" + ], + "text/plain": [ + " High Low Open Close Volume Adj Close\n", + "Date \n", + "2012-01-03 21.180000 20.750000 20.830000 21.049999 9321300.0 16.103352\n", + "2012-01-04 21.370001 20.750000 21.049999 21.150000 7856700.0 16.179853\n", + "2012-01-05 22.290001 20.959999 21.100000 22.170000 17880600.0 16.960161\n", + "2012-01-06 23.030001 22.240000 22.260000 22.920000 18234500.0 17.533915\n", + "2012-01-09 23.430000 22.700001 23.200001 22.840000 12084500.0 17.472712" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "gm.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [], + "source": [ + "gm.to_csv('GM_Stock.csv')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Partie 2: Visualisation des données\n", + "\n", + "**Il est temps de visualiser les données.**\n", + "\n", + "**Suivez et recréez les graphiques ci-dessous en suivant les instructions et les explications.**" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "____\n", + "\n", + "**Recréez ce tracé linéaire de tous les prix à l'ouverture des différentes actions! Astuce: Pour la légende, utilisez le paramètre label et plt.legend()**" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [], + "source": [ + "# Code ici" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 13, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "tesla['Open'].plot(label='Tesla',figsize=(16,8),title='Open Price')\n", + "gm['Open'].plot(label='GM')\n", + "ford['Open'].plot(label='Ford')\n", + "plt.legend()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "____" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Tracez le volume des actions négociées chaque jour.**" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 14, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "tesla['Volume'].plot(label='Tesla',figsize=(16,8),title='Volume Traded')\n", + "gm['Volume'].plot(label='gm')\n", + "ford['Volume'].plot(label='ford')\n", + "plt.legend()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Intéressant, il semble que Ford ait eu un très gros pic fin 2013. Quelle était la date de ce volume d'échange maximum pour Ford ?**\n", + "\n", + "**Bonus: Que s'est-il passé ce jour-là?**" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Timestamp('2013-12-18 00:00:00')" + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "ford['Volume'].idxmax()" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "# Que s'est-il passé?\n", + "# http://money.cnn.com/2013/12/18/news/companies/ford-profit/\n", + "# https://www.usatoday.com/story/money/cars/2013/12/18/ford-2014-profit-warning/4110015/\n", + "# https://media.ford.com/content/dam/fordmedia/North%20America/US/2014/01/28/4QFinancials.pdf" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "____" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "*La visualisation du prix à l'ouverture des séries temporelles donne l'impression que Tesla a toujours eu beaucoup plus de valeur en tant qu'entreprise que GM et Ford. Mais pour vraiment comprendre cela, il faudrait regarder la capitalisation boursière totale de la société, et pas seulement le cours de l'action. Malheureusement, nos données actuelles n'ont pas cette information du nombre total d'unités d'actions présentes. Mais ce que nous pouvons faire comme simple calcul pour essayer de représenter l'argent total échangé serait de multiplier la colonne 'Volume' par le cours de l'action. Rappelez-vous que ce n'est pas encore la capitalisation boursière réelle, c'est juste une représentation visuelle de la quantité totale d'argent échangé en utilisant la série temporelle. (par exemple 100 unités d'actions à 10 dollars chacune contre 100 000 unités d'actions à 1 dollars chacune)*" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Créez une nouvelle colonne pour chaque dataframe appelée \"Total Traded\" qui est le prix d'ouverture multiplié par le volume négocié.**" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [], + "source": [ + "# Code ici" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [], + "source": [ + "tesla['Total Traded'] = tesla['Open']*tesla['Volume']\n", + "ford['Total Traded'] = ford['Open']*ford['Volume']\n", + "gm['Total Traded'] = gm['Open']*gm['Volume']" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Tracez ce total négocié (Total Traded) par rapport à l'index de temps.**" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [], + "source": [ + "# Code ici" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0, 0.5, 'Total Traded')" + ] + }, + "execution_count": 20, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "tesla['Total Traded'].plot(label='Tesla',figsize=(16,8))\n", + "gm['Total Traded'].plot(label='GM')\n", + "ford['Total Traded'].plot(label='Ford')\n", + "plt.legend()\n", + "plt.ylabel('Total Traded')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Intéressant, il semble qu'il y ait eu une énorme quantité d'argent échangé pour Tesla début 2014. Quelle date c'était et que s'est-il passé ?**" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Timestamp('2014-02-25 00:00:00')" + ] + }, + "execution_count": 21, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "tesla['Total Traded'].idxmax()" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [], + "source": [ + "# http://money.cnn.com/2014/02/25/investing/tesla-record-high/\n", + "# https://blogs.wsj.com/moneybeat/2014/02/25/tesla-shares-surge-on-morgan-stanley-report/\n", + "# https://www.washingtonpost.com/news/wonk/wp/2014/02/25/teslas-stock-is-up-644-why-it-may-not-last/\n", + "# http://www.cnbc.com/2014/02/25/tesla-soars-ford-falls-in-consumer-reports-study.html" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "____" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Entraînons-nous à tracer des moyennes glissantes ou mobiles (MA - Moving Averages). Tracez MA50 et MA200 pour GM.**" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [], + "source": [ + "# Code ici" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 24, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "gm['MA50'] = gm['Open'].rolling(50).mean()\n", + "gm['MA200'] = gm['Open'].rolling(200).mean()\n", + "gm[['Open','MA50','MA200']].plot(label='gm',figsize=(16,8))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "______" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Enfin, voyons s'il existe une relation entre ces actions car elles sont tous liées à l'industrie automobile. Nous pouvons le voir facilement à travers un diagramme de dispersion. Importez la matrice de dispersion de pandas.plotting et utilisez-la pour créer un diagramme de dispersion du prix d'ouverture de toutes les actions. Vous devrez peut-être réorganiser les colonnes dans un nouveau dataframe unique. Vous trouverez des conseils et des informations ici: https://pandas.pydata.org/pandas-docs/stable/visualization.html#scatter-matrix-plot**" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [], + "source": [ + "from pandas.plotting import scatter_matrix" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [], + "source": [ + "car_comp = pd.concat([tesla['Open'],gm['Open'],ford['Open']],axis=1)" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [], + "source": [ + "car_comp.columns = ['Tesla Open','GM Open','Ford Open']" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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Q0LCmqiX1enyjZ5sMQ5d3Vyt+tD9np+dTSUleSe5PYjY7Ljtdn//tD++zyCoCx+Q3b42oasn9SUTLs8mrmkfnK46WGa5lMolzRm2Pk1XO9noxcP881mKjVYJrmlzqBbQ8m23P5tG0hW0aZKVk1HFJippa6eP87v1z3jpY0g/14AmlAoQQSKWwTfGMOhpgt+/jOya1ktw/0z7sj6YJtzbbv/Dv+fNMVtassoqzVQZAnNdkZc3jWcrpKmcWF9im4Ct7XULX5keP50R5xbVRSN93+P7DGQ+nMbYpaLsWgWvT9iw22h5bXe8iAy9rycNzLagMXZNfvT4E4GfHKyZRzoPzCNcwuLnZZpVV/PhgwaNZzJf3emy0PLKyohfYvLrZ4vqGPs+SvOLhecxPDpb0A5vTZfGRn3GRlsR5xeNpimFAd63T6AcONzdalFJyvMgYtt7vpOgFDtfHLaRS7M+0OK/rw6jlcmPc+lT6gY/jpQVxpdTxU79W6Iz8dSHEvwH+APgHwCvowF4JIf4V8I9e1vE0NDS8T17p8Y1SwqWBTy/QFqkPzmP2ZwllLbkyDPjx/py8lMzigpN5ynx9MVNSkZUSQ+gsa5aU/NH9c/JCcbRM9czwWiIw+CkLDAH705QfPJoRZzWuaXBzo8VrO50L4drXLvfoeNoDe5XVKKVoeSb/558eMo0KfMei5ZkX6vijRUrgWKRlxd0zuDZqXbS0mYZub7MMnUE5ponvNFn4i+b+JKaqFcfLFNs0uDwIKGqdWedlze3DBVJBXkp+89aI1XpEaFpWWKbHMiuZrHJQ8LP1oJztns9G22OeFLQ9i7KWBI6ljVqK6pmWrqQo2Z+mKAUPz2M2uz6hY1BUiofnK9K84kt7Pe5NlhzMMizD4HiZsdsLEUJhmwZXhno86PZHdDc8+YyrrGS75+GYBr3QwTENbEu3xd051QvFrNTbA/cm+n/ryiDAtfXkvvvnMf3A4fLgxWTgT3jpe+JCiK8AI6XUbSHELWAG/C/Avw+cA0/K5wvgo2sZDQ0NL4yslMi1qDYuajxb7+klRUU/dOj4NnlZcX8SM40LRi0Xzw65Pm4R5RW/fr3P6bKg49nM0wrfMTmYpliGwTwqqOqaySqnqiRCBLx7vORHj5css4K2a3N93ObaqEXvKeFa27P5lcs97p5F3DmJKGvJ4TzhveOIVV7R8Sy+caWPJRT3JzFxUa2V7zVbHZ/jRUYvsJ/pv+2HLr91a0xeSQbNWNMXjlKQFjV5Jdnq+JytcuK8Js4rRqGDbRhUSpFXEtc2eWOnzSwpuTbU7WjDlsPZyuF0lem9bUPQ8x0ense8vt25mBPeD20Cx8QQ4plpYYFjM+64HMxikrJmlpS4tiAr9GIhrySnq5z7ZytuH0SM2zbDjsvxMmOVVuuFocGlQchu/8NKcaUUR2t9xVbXvbAbHobORZm/rCVC6O/CNARRXlFWWgWyyitCz6PjO3x17+Wcfy81iAshBsD/BPzHAEqp6fr2/wv4GvB/A0/scjrA/Dmv8XeBvwtw+fLll3m4DQ1fGDqeRS+wqaTCNQW/9/YxHd/mxkaLSiq2Ox4Hs5ReYDOJcvqBhQR+48aIra7H0SLjaJEjFXx5r4tUioNZqjOWvEIiME2JaQp2+wF5VTNs2TiW3ivf7YcErkn4gZ5ipRRxrltxDmYJRVUTFzXLtNSlSkNQK/24rKjpBzZxYdAPHRzLeO44yLZn0xTRXw7XxyGTKMe29PderVeGLdfmta0WcVlxssjZ6fs4psGVQYhlptw+XhLYJkUl+UvXB/zLnxximoIK2B34jNoukzjHt00EAikVHd/GtSSdpwxaNjsuN8Yhvm1gGoLQNXl9q81P9ufM04LQtYmzmqN5vp5ypvAskz+8M8E2TbY6Hjt9n6So2J+ltFzrmYlnZa3oBTaGodXrw9D5kPjNNg1urMVzPd+mVgrPNqiVfu7L5mUK2yzgfwf+vlLqWAgRAplSqga+DfwEeBf4khDCBH4X+OMPvo5S6h+xLrN/85vfbOYSNjS8AIQQXBoEVLXkX793xqNpimNmbHQ9tjt6L/LKKKA+U/QDh1oKWo51YYW5ykriXFJJyb/7pS1avsN7x0v++N6Ug5nOnNuGza1xi6vDgJNVxsE8oe87bHR8bm22nqsErqVilhRM45xFUrDKa17fanO4SLEMQVzWXB+FuJZF27Pp+g5f2tVqX8cynlGgS6l061MzROWl4dkme/2AcdulrBVVrTsTtKDL5Kt7feKNCsc0ePdkRVJUKKCuFcuqYqvjY5qKVSFRSuGYgt2ez/4sZbPjUUtFP7DZ7vmYQlDU8pnzphc4fPVSj8uDkFVWMu44KCF4ZbPLdtdHAjfHIceLBN812et7RGnNMqsQ1Him4NLAp6o/fK5IqThZZuSlJCkktqG4dxbz+nb7Q+eU77y/XWMgfqHai5eZif8t4FvA/7D+wP8A+J+FEDFwD/hvlVK1EOJ/Bf4Nusz+d17i8TQ0NKwpKsnpKgMUhoBxy9Uq24574bj15k6XrY7PdtenkopxW5cD86rm8XnMn9ybABC6Fn/t9U1ubLT57oMZG52ATRSv7nS5MmrRcm2mccl2N0BKdeG//jzO44Ku7+iJaFLR8x2uDX0uD7XZzJvbHa6NW7x3EuE7Whn9QWtX0Kr0x9MEyxTcGLdemMVlw/NxLZMn7fi9p7YtQtcidC1OVxlKaSOXopaM2w5lJekGNnFesdfziTybV7bbF6Kvtw+XHM8TBi2PVzdDro7bF6YwT7PT9VllJYu00L3mjmSj49D2La4MfXqey8GljFlScHkQcOdshT+xEMC3b414c68PUrLV8Z4Rmy3SUrfPeRZCKELX1mr09SjRT8My03v3nm1wdRi+0HbHlyls+6fAP/3AzV9/zuP+MfCPX9ZxNDQ0fJjjRcbBPOV4kbHZcdkbeISOxTB0OYtyaqmYRAXjtktW1SRFvZ5KpnjvZMV37s/42ckSxzC4OQ6ZRBnHy3zdE+vR8W1++9aY7fVFVwjo+TYny4xKSlZZ9Vx7Tm3oIuiHDudxgVKKja5Py7PWE9X0hCzbFLRcm1lSrH+2aD1lofneyYrH01RncV2frt8E8ZfJ/ixhlVVsd71ngvgThqFLVui9452eDrqPp3pi3dtHCwwDLo8CfufVMQfzhD+5N+FgnjFPCh5OYvZnMf+eY9MP7GfOm2VW6rnihcQQBudRTmcc8mvXhkilJ40VZY3vWDiWScuzuNTz2Wp72IZgo+3S9S3ivOZwnlHUku21i5rvmBd73Vplrs1lnheApdRu7wKeuf/xNNGLgbTEQD8/KesXakDUmL00NHwBsS1BWtQIoadOlTWYhkFSVhdZ69kqv8hyayk5nKXkteRkmZOUFY5lIhQs8oJFXLJKC1ZpQdu3+dWrfa6NWxfv9+pWm4NZyuNpyiwpmKx0D69nm2sHrwTL0OrmWxshRV3T9mxOlvpxeS1puyZ5pcupvcDheJFyHuXcO4sRAr59Y8TgKcGRbWnXuHbj2PZSKSrJbD0f/myVPzeIm4bQbn9rDKHPv6yqMIRgo+3h2Ab7s5QfPJxTVArLMJBScR4XSCG4P4n4yl734jWqWvJgEiMQLNKSrmexykva3rP72oYh+PrlLqus4tIw5DzKySpt32tbFnmlF5W1VLTc90v1nm3y6lYbuW7DfB5KKe5NYiZRTl5K+oHDVtdlELoIYJ6U5FXNg0lE6FgYhu59f5E0Z3dDwxeQrY6HZWjzjcAxKWpFXsr1oBHFIi3pBTZFJdmfpizSgvO4YKfrU9WSmxttFND3LRzT5P40Js5q+i1HX6DLmvdOVhdtR/Z68tQwdDiLtNr3zmnEXt8nyitOljmzpGCeFpSV4uE0pu1a7HU93j5a4NkGaVEzDF02u9qP/XQlmCUlZaVIiorf/9kp/dDhW1f77PR0n/io1fipv0xqqcirGt8xdB/0xwi51HoLRQjBwTwhKSpM06DtWZwtc97YbfNgkqwNVOBrV3pUVZcfP56TVDWzWLdAmkIwiQsM4OF5gmub7PY9jhYpZaWYrAoG67GfeVXz06Ml56sC1zEJ3QIp1doExmCRFqzykryS+LbJ5eGz5fqftw1T1ookr0nyiqSQRFnFIivZ6pTc3GjTD21uH6bUtZ7udqnvv7D+8Cc0Qbyh4QuIHhPqMW7r3lildBA/XGgv8t2eLon/eH/O7aMFtw8WYAhOexlf2u3wld0OG22XR7OYO2cxjmXR9XVWXdaK24dLfuVSH8s0WOUVQmgxnGMZXB6GOKbgnaMl9ycRUir+9NGMjueAUtRSUZSSg0Rf6I8WBf3Q5mie4dkWmx2Pr1/u6x73vs/jWUKeSOqkxDQMDucpr2132XnO/mnDi+X+JCItJKFr8uZO5yMXTIezlO8+nOI7Jr9xbcCP9xcYCM6ijO1uwKjt4lkmhcxICj0Z7DdvDIkLSSlr3j5Y8tbhnHdPVry62SZYz+X2HZOrLV1iDxyLaVFSVBLb1Mdx/yzi3753zjzO+frVPgcIZmlOXinmcUlWabOarm/Tb9m8dxJxvMi5NPAvyuofh2MZDFoOCkW31kK4JK84Xihubmhxm2kIdvsetmmubYNfLE0Qb2hoQAiBggsP6EVWMU0K/vTRnLNVxllUoIQiLSte2WrjK+1WFRcVlmFgCOgFLpOooKwVw5aLRGGZAt82eXCuy56ha3FrI+TeRPf1ni5zDhcp47aDWGvdqlrhWILjZcUqr1hlJTs9j7ioSMuag1nCdtfFty1O10Yht8Yt7s9i2q5J9znl3E8z4KLhk5OVuqUsr+RHBvC0qHk0S5AS4qzm9tGKulZM0+LiOYPQ4bXNNndPIx5PU3b68M7xikuDkO2Ozx/eOee90wjXNOj4NpZpUEvJhuHRD5yLDHezrU2KnpS/l1mF7xhkpYllwLjjUNQ1eVlSSkWlIC0lr2y566y6YpVV+Lau4nwSQeRuz2er42nb2Ic1bx0uGbdcJqucWVwSuiZpUfPqVvszj2n9OJog3tDwBUMpxf5MZ9w7PT3qM8orplGOsb5mDQKHw0XKqOWyygou9TzOooKOY3M8z6jaEtcyeWWjTVFLQtciyitGLY+kqPnGlQFbXQ9j3bZTS0mcVwxCm0lcUEuFlIrTVc6o5RA4FqFjEmUlbx+tuNL3aXv68iTrmrKqGbUczpYFwhTM4oI70YqjZUEla8Ytj1+/PuTWVgvPtp75rPcnMXFes9X1nqtkb/h4ikpeZMemIZ5ZEHV8i0fT9MIv/WnKWnL3LKIodftYrSSuaWAaOoNNy5qv7HWoJHxpt4Njmfz0cMn+IkUKRaX6zBK9jeNagjyvyA2DccshryX3Jym11D4Ad05jLg/8Dy3gro9b3D+LqWvFZtvn6jBku+sxi0uirOR4mQP6/SernNuHK+KyJC6qi/L/0yil9+gNIS6G8sR5ud4G0OYug8BFKl2KFwJOlwXDlvNMf/uLpAniDQ2fY5RS2pHNMi7EPmlZM0+0EGkSFbQ9m0fnCbVUGIZuLdOmKza3Nlu8stniew9n+OcJSmq703/24wP6gcPf/uYVfvfNzbX1ZLTOZErunUV0fN3LPU8Kqlofy+kyQwlt3mGZgtd32qAUO/2AtKj53oMpd04jDucpX95tc7zIEcLgp8cRlwc+G22Hccfn/iThcJ4wiXOkhL1+gG2JZwI46D3LONcWrvOkaIL4p0Qpxd2ziKyoMQyBlBKpBJeG2hp1mVZ0PZtFUjJqOdRSETjWxfPunkaYhoHvGOx0Pe5PEk4ezdnu+fiOxdEi5+a4xajlcfd0yXGUU9eKrmux0/VJC8lmVzuejTp6XKkwBFWuCGwb2xR898EUxzQ5WqT87uubz1QEer7NsO1imQZHi4wbm23OIz1NzLEEX97rErrWRR/7wTJhFpd4tl5Ufnmv98z3cR4XHM21T7wh9JCX904izqMcyxBMk4KNlsOVUYtuYFPWLmlRcbYq+P7DGV+73H/ho3GbIN7Q8Dlmf5YyT/Re9CubLYQQeJaJZ+tBI0/mdSdFyf4sY7AWJp1FOe+erJjGBZYFjil4Y6fLvbMV33kw5XiZk5WSx+cRt49c+r5LnJf85GCBIQRHi4yriV4g1FILz77/cL9cakQAACAASURBVIYQEBe6Z9y1DbJC9+f2fIfA0e1pO1FBXtUoYdD2Lc5WOUVdkZU1cS5Ry4xBaDNPLJJZSts1qSqF/4FS5dkqZ5WVnCwzsqrmG1caV+dPipRadZ2tty/25ylpUQEC04BJ1OLbt8Z4tnkxVvS9E22RutPTbWZVrRi2HP743pS2a5GXkkpqv/Ioq+gFFsu04uE0RoG25HUsylJSKXjneIlvmYzbLq9tdygqiWkY3By1MS24c5Kw0XGxDEFW6krP3bOI7Z5/ESilAs80eGuaELom752s9NS7wKGsFYP1dLX9WcKds4j7ZzFpUdPyLAaBHlX6tLmMQIv5ikpvIyxTXS5fpIK7pxGjtgvC4PIwIMor5mnJw2lMVio9jjQuCB1Tj2Mta0xD0PFtOt5nd3ZrgnhDw+eYrNR73EUlqdfZr2FoR6mnZ4S3XJvNDvi2QVlLlNJmF+dRziwtaDk2jlWhpMS3TC0ECh0eTBN+9K8XJLmk41m0XAPftnFtg37orl9bDympUTyeJHiWQWAXOLaJkusS5Hqu9I1vtPjxxpy4qMiKmu89mtJxLQaB7g+XAjq+zXbHxzAEvmMRuCZbPe8ZIdIqKzleZMzTAiHgyiDEaPbEPzFxUZEWNfO44GfHK5KyJspK7k5WrNKa33l1g2ujFjc3WmRVTVlLHp2nAGSVxDQEe32fk4Vgu+vhmCZZpUvUtgGWKfjp0YplWnFpEODZFuOWg2UJatR6ROiKra7Ovm+MWlzqB+z1tSWrKQTfvFITujZRXl70Y2el5HiRXojKHMvANgQtz6KWisN5SmAbpGXJzfH7zmtS6s4J37Ho+BZX+gEbHfdDSvJhy+X+JKZWWsQ2bntUUvHmtnYPTwuJYwreO9Ezymdxwc1xh5NViu9oYdsiLTlZ5tyfxNiW4FI/4LWt9jNtcZ+GJog3NHyO2e3roRQdz/7QReLpsuOo7VJJRcfTA0TGLZfrGyFpUVFK7bC2SCs8R4+KvDIecGPU4s5JzHvHEfMkx7EMtrsBv/v6Jr92bXCRDRmGIHRsdro+p4sMYQjivKIfuLi2SS+w+ZVLPaJMD1zp+DadwOKf/eiItw8iQlcr6a/0Q06WGb5l8ca2s54pbmGuM59KShz0Z7RNg6LW09IcU+Daxi/Ex/rzQuBY+I7B4bxiu+frBdU84dEkoar17PffuDXkFeN9sda4LSlrycZ6y6IXOHR9m6yqOVxkfHlvQLEebfv2wZJlWhIXOjvfbOuy82bbI84qhKFb1zqezd7AxxAGpmDd222w0fZQwJ3TFVLB1UHI43lKXuoFxONpQuha9AObqKxYpiVCQLGuLFiGyTwueX2ny2bHY7vn8eDc5tevDRi1XS4Pw2fGij5BSrX2Nih592RFWStubbZwLZNR22WelrRciweTBEMIQs/CtQ2+cWXAqKW/lzjXC6STZYZnG7Qck7QMsGrdrx7nNRLFVuf9UawfRxPEGxo+xwSOxZXhz/83H7Xci4tMUlREWcUbWx0cQ/Cjx3NmqXbj+vH+nI31RW8QOgxaBd3AZhoXFJXU08uinD+4O+HbN0ZstHU/um0JRqHDRsfl4TQhLWp2+wFf3u2wN/CZJgXfvT/lR4/nTOOCnb5HnOlpaGlhIICsqpEKLvc9bh8tWKYVnm2y2XGpJZwsc66N9GeN84pZnPOTgyVvbHd4bbuDbTSubZ8U0xDc3Giz1fV5PE1Awcky5e2jFas0p1aQFJKTZcbmelb81nNGeQoheHWzszZ3kazykjQv+cnBHCmV7uUuaxZZgWOZVFKhEISOxevbHb5yqcu1kTYNeutggVJwMEtRUruhLbOKcdtlmVdc6vsoBXcnMWerGAG8vtlBoHvR07LmYJ4yjQvKGmZpQY3inWMT1xKcRwWLpOTyKPhQe2ItFaahq1i7PZ8oqxi3PZTSynzXMvEd62JLZ6vrEeclgTRxLIPANpnFBV3fZpVVJIVWzQsEj+cpbd/hdJkxCB0OZlooeEzGjacMkz6KJog3NHyBOV5kTOOcsyin5ztcHQb88x8fcv8s4dLAJ68kUkHHM2m5Fnu9gLSqyQpJP3B5Y8cgryTzKCcu5bqUCih9UTyPC0B7ayeltm+dxgVCwSwpuDQICFyLs1WBQs/+nsYlrmVwbdiirsEwdEXhNCp1u9o0phs43D5aYBsG1pU+47ZH+NS88LMo56eHS+6exhzOU6K84tWtDrs9/6X06n5eabk6mAKcrlLuTWJmicOlgY9nGiRF/dznZWXN41nCn9yf8ONHCwLH4rdfGaOA3393giEEUVmyyCosU3BlGHJ54HJtFLDZdskqyTDUKu8ndH29WJynJZNVQV5V1Eor5LNCtysWdc00KnnneElZ18yTiu2ONvwR6C2iuKgJHAvbECSFZJHoISd5Ldnt+RSV4u3DBZZhcH0cMksKThY5gWtyfRTSDx2+fqXP8SLDtsRz97PHbRepFKfLnONlxnunK8YtjyivuHO6Yp7odskrg5A4r3h4HnO8yLSDomVcfPefhCaINzR8QXk0jfnZUcTjWcyd0wjXMvjybof9acZ5nHMaZYxbLltdn9NVTlLUnCcZXd8ltC3O4xzXNvnrX9laLwYKtnseW72A7a5H17eZrVXww7bDVtejqDpEebWeMCY4j3MUsNF22el6XBr42KaglorfuDnEsgwO5hm9wMW1LFZZze4gYJVU1LXSvb9th+vjkF7gIKXih49nfO/BlAfTBNME315neEp7bTdB/NNzusxoezZ/+dYYhEAqRcuz2Oo8m32nRc13H5zzztGKSZTyp48WrNKKlmfR8SzavoVhGFimwDG1g1lRS4QQdHyTr4Q9ZkmJQNALbbY6nrbWnWjB2ZN+8FlckJTQ8Wx2ex7pul+9KBX90GIQalGabQqGbZff6W7w1sGCk2XGqK14ZbPNVttjEuXsT2PdNod2GozykmlUkJQVlgFP1hFJro2MHEusTYsCPg7fMTldZdw7i3FMg5ZrEdYmrmVimzVbHQ/HErQ9j3lS8vp2G9MQfP1SH8MUH2n1+kGaIN7Q8AUkyitmcckyK3l8nly4XykE1zZ8lnnJbs/DNGCj43K60KKgx/OMrY6k5Vh0A4utjsuo7fEffW2HP743Zdhy+a1bI64OQ8pakVU1IBi29B72uO3SD23eOYoo6prv3J9xdRggURwvcq4NQyzD5NZmyO2jFbcPl1qUV9dcH7WJjRKh4PpGwP4sxTDANswLv+5ZUvD/vHXE7cMVrbWxzK9eG+o2I8Ng2GpazD4LB7OUh+cpnmOy1/c5j0pqqcjK+mIEJ8DBPOWHj+ecLDImUUFV1kziAsfSgb/jOwwCi72ez41xwE8Ol/QCh1e2dOn+yd8nr55tgzxZZmSFtkb1bO2S1gtsagmTqGS3r/fIx20X2xT0fYfTVYZpGEyiHMvUo3evDgMMQ7Dd9ZnGOVGhFeLnUckgcAhsk0fnCY+nKaVUlLXiN2+OyMqCuKg4WWbs9vxPZOXb8WwsQ2sxylrS8W32+gGhazFICk4WmV6wiIpBYJOUki/vdvA/ZQtaE8QbGr5ApEVNKSVlJUnLit2ej+8YnCxyKim5Mgx5Y7vDb93cYJoUtByTaVLy7vGSWVqy0bKZxTkGirNVrsvTgcO1cZt+6FHVEtBzn13LpOPZPDxPiPKKN7Y7XB6EJEXNZFWwSAuqWlFLuHcWE5cVZaW4Ng4pKsXDaYIA9ucZs1QbanQDh1Um+dqlLptd90L49DRlpVX3lZS8udfl6qj1c7OmhudT1ZJFWmIY0PZ1P7VnWyRFxsPzhDiveGO3yzB0OV5k7M90Wdgw4PWtNrXUXQlPdBS7XR/fNrg0CBm1XP7aG1vsz7Sq/enFwKNJwiQq8B2D0LGYxQV5JemlJo7lg9QTwaJMt7fFecnpMqPlWvRCm7ioAYPzuCDOK2ol6XgO45ZDVtXrtjg9/e54meNbBlFZUZSSfuiSlXqB8sRfYdhyUCs90KTlWp+4mrPT8/ScdMvg1U2tht/seGx2POZxiVLlen/dZSdwP5NCvQniDQ1fENKi5s5pRJxXFLWk5VqM2w6vb3coaknftzBNAyEEgWux3fNZpCXvnca0PYdRpaiU4mrooJRBVknioubRJOYP753z4Czm0sDnta0Otw8X3NxoE+cVB/MUpaDtmlwft4jzCs8xcSyP17Y69AKbh7OYNKpRKELH5L2TJUfTlLMoZ6/nUtawzLXTW1RUnMcF2x2fq6OQnu/weJrQC/So05sbLVxLYJgCxzQJ3Bc7NerzyhM3MssQ9AKHVVbyh3fOqaSkqnV/927PxzYEgWPys+MlUVZxnpS8ud3m3ZMYQ8CbO21GLY+WZ5JVNZvdmoFvcnOjgyEgcGzivObK0KIXOHrkJ7pE/YTjpc7kbUvw1d0uX73UW88jN6ikQght8KMn4KX8sx8eUdSSWsErmyFZoeiHNo5pkBnwzkFErbQ4zTIMXNtkr+fS8hxe22pzPM+xLdjoeez1fG6NQ946WhC4FoFjUEkDKHS3RvV8HcDzuD5uMWq5hK71IdvfN3c6mCZ4lokhhN5S+Az94k0Qb2j4AlDVknuTiKNFSmBbVFKyTEscS7DbCz5yRvITD+kH5zFVLckriSngxsjDsiymccnhPOV7D6acxyVpqQU7aakuWowMAYGn90IBfNviyiDEdwyuj1r84NGMR2cxaSVJ8oqWa/IHdyfrwRoWNzZa3DlNuDIM8U2Ttm+TVpIaxVbH4f9954RpXHJlFLDTDfjqpf7F+xSVvFDdN3w8Z6uck7UNqWkI7p/FnEc6q64lvLrV4XSZsdv36Qc2vmNynuSkVU177XoWFyVXRrrlqqolG22PwC3pew4/eDwH4JXNFoFjXgwped7e70ZH+wIEjsmo7VEpMIVgt+cRFTWuZWCbhl7UZRWP5gnTOEdIgW0Idtd758a6nVEIEAoM1HrrqObMFHR8h2VWsdvTdsEt1+Lhecyd05V2iWsJbh+ueGWrjSHgn791iIngb3/zMq/tdDiPtFZko+M+93OYhvjIrL3t23zr6vDP/HdrgnhDwxeAWVIipZ6R3G/ZmMLhdKktS6dJ8aFAl1c1d09jpFJsdlyuDQPeOpiTlxLDcJgnJYGr8F2L0LWYrAomUQ5Sst3zyErJO0dL/tY3L3Fzo0WUV/R8GyEE18fhxZCJ7z+a8sd3zzmLc6ZRgWMbfOf+jCSvmWc1vm3y1Ut93tzpMV2PojxepiRZxeEs5g/fO+PRNNGZY5rTdW0k0PUs4lICRjP85JPy1FeUrrsIsrJmmZbsDVscLTL6gcNkVXAwT+kGFsu0YBoVzOMpG22PX7024I3dLlFecf8sxjQFgW3zo4M5hjBAaVOgqtaDSj6KK8OQ0NW2vb5jPuPN3vXfz9hdy8A0BMPAJckqaqGI8mpdCrfYnydIpefK7/UC9voBp1FOUdXale5MzwJfpQUd3+GP757x3ftTorzGMQ2+cbXHt66NOF5k3JtEREmNbSh+uD9jq+dxuLZglUpxZaiPMc4rJpH2ZvhFiCibIN7Q8AUgcEwqKWl7FleHoXacWmUcLjI2Oh/OVJO8pl7390yTXM8S7/ncn0SssoqlLxGGZNSy6AY2w7bD6SplmpR8596UvX7IuO2SlTUd337GujJfW2TG6znOUVbrUqllUNU6s/Jsi2uBy1f3ulzqB9yfxFRSG4nM4oK8VkzikrLSe/yzWAvz/vTxjJZrEuVasHRp4LM/T7jU//CAjoZnGbe0E5plGCi0kPG7D6YczlOujxP++ld26Po2+7OEwDE4nBcMQ5fDZaZLwYFFreD+JCZ0TG5shDyaxkzjglqBUhKJ4vE0Ia9q9vrZM0LDqpYcLTItPOt47PV/vo5BCMHr2x1Olhm1VMSF9jO4sdEidCxcS3sM/OrVAV+91Md3TO6eRlQ1GEJxME/Ja0lZ6+z+4XnOwSwlKSo6ocPJMufH+zMcUyBQREVBlNW8VlbcPlwQuDameH8rICtrHk21Ic4yrej49gufH/5BPlEQF3oZO3768Uqpw5d1UA0NDS8WxfuJlkJnMIFtEdisRUDP0vFtWmnJ0SLFNrWy2HdM/tK1EYaAeaoz6ayqkTFcGfjcPY1YZiW2qceJ+rZJlJdEZxWmgGHbwxSCf/GTQ4pKcnXos8xqbm6GZKWeX/4nd2dcHvgopWcw3xy3ee9sxf40peVaWIag61vUUrLKK8pyXbJ1LBZpyR/dPccQ2upzb+DzcJKwP0359RtwedgE8o+irCVnqxzXMugGNlFWkZQ1Z1FOUkj25ynvnUSMWi43xiEPz1M2Ox5JXrLR9lgkJdsdn6KuiTKIMh3Afv3GiNuHC9KiYpqUKAWha+HbFnFWUVTyIgBO4+JCke7b5sWUsJ+H75hsdFx6gc31jZC2a9PzHSxD8I2rfW4frgDFWZQzj/W88Z2+x82NNpeGAd7jOV3P4WiRMosLhCHwHJOe77BK9UyB0F4SFRXbnYC5U/BgkjBZlfyNr+2x0XWppeKP7k7IS8kqKwHBsO3wkuM38AmCuBDivwD+O+AckOubFfDGz3nerwH/EKiB7yml/p4Q4u8D/wHwEPhPlVLl8277rB+moaFBM4lyjhcZXd/m0iBgkRYsspLQsUiLmiB0aPsWZaWD7ROysqZaO2ldG4UkRbUuw1t8+0YHiUQgMBF4tsH/97NT4qImzmv6oY1SepZ4JzBpewa3D5c8PE9wLIPXtjtsdz3mScE0LjhdZnztch8QDEKXQeCgbmh1+YWCNyk4PsuoaojymkFgUSl0ZicV3dDh2ijk8iDgew9mVLKmKCRJqb3X78YRjqVNSf7mN/cwheB4ka1b3pp+8SfsTxPePYlAKH7jxgjHNEiLSv+dHd3TPY31nvlmx+E0yjCU4mRVMG47tAc+bd+m69vMkxLLFNimwSA0+c1bY9qeHlVb1ZKdXsA0yjFNg7tnEa9tadW2uz4PhdCLzE+CUjqzfzBJtHBNCExDcLYuZ487Hlsdj/1ZzO+9fcwyq3l1s8Wr220822SnFzBsucySgqKu6QY2l/ohUkn2+r4eAGQIJlHBIis4mGc4lqAoa/rbDvvzhBubLX52vGKxNnAp64phSy8spQLzJQfyT5KJ/1fA60qps0/52g+Bv6qUyoQQ/0QI8VvA7yilflMI8V8D/6EQ4vc/eBvwf3zK92loaPgA07hAKd0Ss92VrNKKolJUdUk/sPUQlI02WVFj/v/svXmMJGl6n/d8cUdkRh5VmXX23T3Tc+3swVmSy0MCb1uWLUIGJVuwDV9YQ4YFAZYFyzYEWAZkmJQhyZRMCQQMGoIAGhZoURZlgtCapEia3OViuTvcndmZ6e7pu+7KMzLuiM9/fFnZVd1V3dU93T19xAM0uioqMyMyKyre+N7j95teZbZGMd+62adTszk5r9Lh3brNTpBysu3Rm6SsDSPOzNcwdcF3N4d8tBmoOW5ZYOk6Sw2Hhm1Sswy+drXPfM1mcxxjaoJBlPFnPrdCmiuN6Lqt862bfU7Pefxrb3TJpODtE01GsZJTvdELVQ3fs9BqAkMXGEJgCI0wKQiyAhfVSb3ccnnnjEYvTBhGGU1Xp+3YbAUpvTClXTPpT1Ju9EJ2xsqf+kdfXzyQ5n+ZCRK16t4ex6R5wfWdkN/6YIskL1hsOFxc8BmnOV+/ukuQ5GiaIMtLzi/WGSc5J1pK8tR3DDp1G2taq95D2XJKTrZrnJr3uATEmTLl2Qt0TVdZ36ogrn4vUko1ypaqccj9N15xVkxr2jFZWbDYcHllwWMYFerGUdc4M+9Rs3XyQtJ0LZI8xjK1AzeutqGzO065PQgpCslq26Fm6/iuwWLTpWaaeLZge6zTm2TM1ywQkBdKCliVjAzm6xbbQUKBxijKDzVQeRIcJ4jfAnoP+8JSyo193+bA28BvT7//CvAXgPCQbVUQr6j4hLQ9i81RPDM+MXTBUsNB18TswqIJWBtGxFlJ3db4+rW+EklxdH7686t0fZuFhsNCw6EoJd++NaQoJaMoU05npWAYZYyilCgrEUy7ijXYGitxjHPdOoMoJctLmraaGX9tpYFlaHy8NWEtT9A0wbVezKtLynlqrxnoRMvl3dsDWq7JibbLUsPhW7dHLDdtbEvQD1KivGS56fLmSpMvnVO2p99dH3Fpe8zWKMG1NM64yvt6vmZxbScEIC1KPlwfcWLOqwRggLPdGr/1wSbXdgLeXxuR5yW7QYpjGSBUEI7yEtvU6IeSMM6I0oIozZnzbcpScn6hTsMx75l0yIqSMCkxdG02Cz5fV42Vjqkj5Z1iz903Vcn0hg+Ul/f+ID5JcopS0vaU7n/TM7ENnduDXSZpTq1u8/7GiNeXGvzEG4t86+aQIMm4uNg40MiZFSXfuN7jo80Ay9ApZMnNXoRt6nzuZIs/+WqXru/w2x9uIZE0XZM0l5zteiw1XLJCnYPduk1vkrI5UpoLy417teSfBMcJ4peB3xRC/BqQ7G2UUv78cXYghHgb6AADVGodYAi0gRYwumvb3c//MvBlgFOnTh1nlxUVLz1d36br37lQnZqrMYwyfOfOvKpS3FIVsklaEmclcZYjKSlleeD1dE2prg2ihBJBkhV8e21IWRTouoYrBHmh0vAXug0KKbENwasLNV5ZqPPRVoBt6Ni6hu+YbE0FQaIk59LGmN+0NknygrdWm3fsIVHp0X6YEyQBEmg6Jp871ebDjRFpJvFdsC1Bc9r5rmmCpabDxzsBjqHhWsbU7cykkPDOmRbXdkLeXx/y8U5IL0z5wQvdAzPKLyM1S8c2NGzD4GZ/jGNotGsmZzse5zs+rZrFZ060SPKSq9PVby/MWB+EOJZOIZkJqNzNng2uLCWDUGnprw0iru9OONH2KKXk3BFGH7ahUbN1wrRg7q7yR2Mq6yul5NS8h23ofLgxplN3+HAjYJuYQkpqlioNff/5w8e5JklOt2FzbSdkO4zYHMUESU7DtSgKiWXoeJbOq0s+ddtgN0iQQhDEBda8Op+BqSiMTVZKNAFztadzc3icIL4+/dd42BcXQswBfx/4c8D3AKvTHzVQQX1wyLYDSCl/EfhFgHfeeUfe/fOKiooHYxnagaAO6qKz1HQYxRld3yaIM7bHEYUUrA0SlhopaSER3EnPTxJloShlyWrTZbXlcmt3gkR1Fy80Xb5wpkXTVTPiy02Ha7sT2p5FnKm5b9tQTlBlCWG6S5IV3OhNSD5QTU5LTZdJktN0TVxTZ5LmCOBGL5xdGJueScszyUtJzTwokDGOM1zD4HYaYekCQzO5sh1wZSvg5JzH2yebbAxjRnFOVkiMp9F99AySZAV5WVKz1ef32nIDoQlGUQpCMFeDL53rsjmK2Rql6EJwar7GD73aISsL/tk317H0GmkhaTh3HLxAaQz0whTX1KnZyqP7o40xhZQzj/tSqlVweZ+ruhpJPDzAm7rGhYWDP9srm1xc9LkxmHBlM0BKDoyo3U3dNpiv2Zzu1ChR0xJBUmAZGmlZYBqC7XHCH98cMAgzSlnSqTsst9yZg9vsfUv1WdQPEXd5UjwwiEsp/zqAEMKWUiYPevweQggD+MfAX5VSbgghvg7858DPAT8OfBU4bFtFRcVTYv+K/UynxtYoISpypJR848YATajAvdJyKUvJzjghiHMMXePzp1uYusYXz8xxqz/h27eHOJaOreu8tdqc7ePCgk+cFVzaDABwLYM3VppkhaTlWmwVCb1JxqsLDZK85NLmGNvQ2R7HmLqyGrV0nbZnsth0uLkbMl9zsHWdk/Meqy0PIQRSSm71I7ZGCcM4YzBJuboTYKzpuKbGa8s+l7ZGfOZEkzdXG0o2tn08HewXjSDO+N1L28SZ5O2TTc5363zv2XleX27gmTpfu9ojzQuiLGcYZzQci0KCoWmM45yabfCn314mzkqWmw6WodH2LD7eDiimimqjMGNtFPHGcoOO77DUVPK4ddvA0AUNx8Czjfv6vGdFOZNlPdl2HyhLmhVqiiIrNPqBGkXsTZL73igYusaZ+Zry+B6GuI7Om/UmaKru/d7tEXVb9WgEScEPXpjjXNen69sHFNbKUnJ5KyAvJC1PNZQ+DY7Tnf69wP8GNIFTQojPAv+plPIvPeCpPwN8EfjZ6R3JfwP8jhDi94AbwN+VUqZCiAPbHv2tVFRU3I9JktObpDRck8bUX9k2dHRNUJZyWgPVubUV0bRMbvZDGp6FmNYra7bBuW6dq9sT6o7BZ1Zb6Jrgo80x5xd8okxycs6l7tx7WXFMnTMdj7VBzG6QsNJy6NZtOg2bbtNhwbf5nlNtDF3wUT/C1DVsS6PpaHTrtup0rlu0XJN1XeP67gSEspZ0zIR51I3IIMyoOyZJHjCIc270Q07P1alZOuvDhAXfYXscs9r2ZkHlZWQc50ySgn6Y8u1bkuWm6qbWNUGrZqAhyQvJtZ2QL55ts9h0mKvZTJKCjzbHOKZO17f5vnN3UtRbI+VkZxs6o0h5ho/inDgt+bHXF5ivW7P68XHLF/1JSjCtiQ+i7Ej1PSmVlv/lzYC2Z1J3LD57ssWtfkS3Yd8329IPUz7aHDGMMt45M8dqq8apeZf318fM123WhzGupaRRV5oOTdfm7Hztnpu/QqrPDFQt/2lxnHT6zwN/GvhVACnlu0KIH3nQk6SUvwz88l2b/wD42bse97N3b6uoqHj83OpHpLkytGg4BsMoxzI0LnRrXN6e8NHWmNv9iLwoGSU5nm0w56lRrLPzHg3XxDY1NkYxkyzna1d3abkW13cnrLYdvnRuHiGg4x9+oTV1jVu9kFGcc2kz4Fpvwu1+yGrb40cvLrDQcPjqx7uM4owSeN2vsz1OmK8rl6utccxXP94lLUryUqJrcHV7wo3diLOdGhcWajimxpXtCcMwpe0amN06iw2XHzjfQdPU6vBWP2K5+fKtwKWUrE8tY3Wh5Ej3shEbw5iTcx6/EdkbNwAAIABJREFUe2mbb98c0g+VVKllaAih8dZKiygrWPA1bvZD4rSclidcFn2HUsL6MGZtENFwTXzHwNA1NHGnkdJ3jNmNwnFRmuMqAVyzjg5XgzBjc5SQlSW3hxGGJkhzyZl5j8+falM7whksyQr++bu3ubkb4dkaDUdNVoRpwcWlOpe3AgxNY7VZw546ob223Dhw7mRFycYwxjY0TrRdgiSnU7fYDRJMQ3skPfSH4ThBXJNSXr8rv398BfiKiopnAsvQSPMSU9dmK4U0L4nzgjQvabsmV7Yms0aic90aSw2HIM250YtYbklOtT2+eb1PnpfsBCmjKEPX1IX+TKd23wu0JsRsnC3KcnbGCXEmycuSpmdNFeIEoygnLUsub02UNenUX/wb1/pc3w3xbYMLi3VMXY3yDOOUm/0JQki6vs3VnYAgVRaof+qtFd4+1aLhmFzaHNMLMnRNsDNRq/KXgThTK+6yhI1RxI3dCNfS6NbV6trSVd06zUuQkBTKsaxmGZzt1jjbqXFlJ1Dd27rGctNmY5goVbd+TFnCXM1CE4Iz8zU8W8fQND53skUvSHhrtUkvzAiTAsfUeGXRP/ax12xjNkd+33Nr+rNFXznp7QQppYR2zVYd9kcwjDLGUcYkzZkk4FkGgyhjGOdc6NYJk5Kub7A1Tvi+c/P31MABNkfxTKTmbLfGyZrH5ihmfRizMYzo1C0WGy5d334iI43HCeI3pyl1KYTQgb8EfPTYj6SiouKJcnrOI0hzPFMnyZVCl+8Y1GyTxelo2Pedm1M1T0un7dm0PIskv5MiTPJyNmLT8gxcU6eQktbU6GQ/+XTFrGQ2S1ZaDqfaHnNeRsdvk5dK9vKt5Sabo5hxnKNPzSt8R+cb1/t8d2NE0zFp2DpCKCUvw1ArouWmMq24tDkmTEs0ofHe7RHDSCl/LTUc5D7hkKWmM+vGt/WXZz782u6ELJckeaFWxxo0HeUetjff7FkG794cMIxSznVcPn+qSafu8PqyT8u1+Pq1HrKEtCxIC0nTM/ELnZu9kDDNcU1lDRsmaq7cNpR9p2u2MHQl+gOPlmY+jj1n0zU50/GQQFEo/fSb/QRTh1cWDm+MA3AsnbdPtun4Ib5tom4iMzxbJ0xzdiYJtqlxcdk/NIDD3kx7RpIXKB00tTq/3Q+VD/tOwGLL5Xy3zmdWW7OfG5p4LM1vxwnifxGVUj8FbAH/crqtoqLiOULT7lgdGrp2IMW4Nw8eJMpqsZQwilLeXx+RZAUXFn0WfCUvudBwqDkGS77DqXmPIFESrPsvSHFWcGU7YBzllFISZgWXt8Z06jZxVnKuU+PPfuEEa4OImm0QZwVXdwKEELy64PPt20N6QcqV7QmepbHg2/zUm8vK09y3uLI94V99uMUri3XeWm1xfTcEJGGWs9JUdpkLDYeiUHPGdl3Hd0wuLNSRSLz7rM5eNHQhyJDUp7r55zq1mZc2QJDk/NH1Hu+vjXAtnTAt8WzJvGeS5ZI4L7i45COlyqAA+LZJlBd4WYkuNCZprrTO9y2yk7zk9iBizrM4Ne/Rn6Q079PE9knx96WtT8/XQCiBlyAtaB7RY9ZwTN45Pcdgoc531gZM4oK3TzRYbnnc6E1oeiZxVvLWcvPwF0A1h06SnGisykRvrTZJ8xJ92ul/qx/y4WZAlBS8sdxkaxyz1o+J84LXlxvHlpc9iuN0p28B/84n2ktFRcVzQd02YHpxv7wd0J+oNOGe9aOpw7lujSQraXlqNts/pOYXZ8XMNW07iInSEinhq1d62KaGZQj+xKsLM/GOK1tqFMiYWkc6pqAfZexOEsJU54ONET/xxhJn5j12gpTf+M4GgzDj4+0Jry01eGO5QZIXJJmk5ebM122kVEpkzj6LyD2xkZeJM53aVCHPwDK0e1K6m6MYXWgkhSSPc6QUhEnB71zeoVt3ODnn8tZqk7PdGmv9iLVhzEpLo1uzGIUZwyjjnH5vlNwaJRSlZHOU8JkTzuym4XGR5iVpUd7zujd6E67thFMnsoL2ITcO68OI3SBlvm6x3HS51c8JohIQZFIJDpVSYuhKMMl6QBq8KJV5S1nCnGdhaBpLDYd+22U3TNHQCKamQqNIuZyFaUHNUuWrw2xMj8txutPPoDTQvzTd9P8Bf0VKee2R91pRUfFMsJfyPqxWt1B32BjGeJZx4ELpWQYPkh1vOCYtLycrSs5157jRi5gkGf1JSs02KUoOWISutFzlVa4JDA2+eSvhZNudekaXNFyL9zdGnOvU2Q1SskKlh1uegzYVeXEtg7m6ycYowtY1ao6BbarxspcZpWF+9C/Mtw3CpOAHL8zT9SzeWx+xHSTYhgp+kyQny0viTKXjT7RdznVqZKVksVFM93Hv+dP0THpBStN9/KvvrCi5tDWmLKHjq0AMMIozbvYidicpbc9gsekcuInbYzdQuge7QYqpawyjlEIWqrQ07YCfr9vHVvObq1lIKQmSgrVhxBfPzOHZOqtth6yQDKOct6ZKhUsNh51xjG1qGJqmZGyF0pp/FI5za/TLKLGVPz/9/i9Mt33pyGdUVFQ882RFyaVNNde73HLuGd85262x2nYRgoe+wGiaODAne3HJoJSS1bbH1ijhXLd2IP3uWjpvrCg9qe+uj3hlwWfOs/m+cyY7YyXPaetqRT6Kc852XZZbDq8s1Gl6Fv1Jyvow4ur2hLSQaJokTAo8y+BGL0LXBGleECQ5tqlxYcF/5Ivmi8ZCw6HlKdcvTRN0my5xpvzEP9wYo2tqIuFkWwVK19TxXWV2oyRTOfQmYbXlzqR+HzdFKSmn5fUku1NnD5Oc7SAhynKsRE0jXJfhTOxlkuSsDSKSXPmFz9ftaWe5wevLTV5fOth5HqY568OYmmWw1FTlplu9cCpCU5udQ+2azXLTxTUzTF0jLyWdus0wynhrtUVWlJyf1uabnskPXOgQJOq11/ox20bCxUX/kWrkx+1O/6V93//vQoiqJl5R8ZyTTOUwQUlmhmnOrX6EpWucmvPQNPHY5Ej3LnYn2t6hPtFSSi5tBmRFiaYJbEPj9eUGF5d8bvZCPtgYE05r71leEqWCz51sztLj13sTVZecrhaRqkaqCcFumGDrOle2AwZhRtM1qdkGp+Yqa9I99v+edU1Qsw1qttISSDIlyWsauqo1o35fN6YNi6uto+ftn5QBiG1oZGXJYJKy1LxTr5ZAt2ZTeMrnWwihuu6n7AQJQZITpQVnV2rM1WzSvGQU5fi2STJN0e9lDzaGMWFSECYFLc9krR/y0eZYSckWJW8cEDWqc2kz4HY/wjE1Ts3VmMT5tAx18O9orwy1PowBZd0rpXJwe1iOE8R/UwjxXwH/x/Qz+vPAPxdCNACklKP7PbmiouLZpD5Vy8pLNZq1PU5IspIkKwnS/InPt+7n6s6E99ZG2IZaDeoaeJZOVpRq7rZm8c2bA6SUFKXktaUG4zjj1UVfidgEqja73HJ5ZbFOyzWJ0pJxkuFZDmuDGEtX9qkArvHyNLZ9EpabDpujmJZnHQjIk7RgFKkmt50gOXIO+0kRZyWmptH1HYKkoDttqGt7Fh0/R9eg5VlEaXEgS+A7Ju+tDSlLWBvEzNVsTs/XyAp1Q3t52pux2FDmPzXbYJIo6VVzOve+NgjJS4HvhFxcbsw+l4ZjMo5TilKJ5PQnKS3PxjU12jXr0GzFybbH7iRBStWD4jvGrDRwXI7zyf970///8l3b/zNUUK9cSSoqnkMub43ZCVJWWy6OqUwevnN7iKYJznaejmTkHmlR4pgatwcha/2IJJe8tdrgfNenU7f5cHOEoQl8x2KSZDQ9E9dS883DUGm/z9Us2jVz6imt0fR0mp5JWUp8x+Rcp0Y/THFMnfm6TZIX5IV86gHoWWFPI8C/j873JCmI0hJNKLW0spRc74VEaUEpS/U5P4Ga94OwDQ3P1onSg41rjqlzcenoOfS5msXZTp0sLxHiTl+G0k7IkVI1Ze4ECZ26zWLDoemamLqGlJI4L+nWXfKypOs79KcKiKaulAt7YcZOkCAkrLQ9fMfCsfQja+uupXPC8vhoY0SSS5IspTNVKDwux+lOP3nsV6uoqHguSPKCb98asj6K+PpVyU++uUTLs1hpuQhgnOTUn+BKPC/KWUNaWUpMXbDYdGh5JuM4R8QFQghcSycvSyxdQyBJi4KLyz5lKVlpqrndpmeyWNhkudLJHkU5QZJzer7GxjCezcOf6dTwpgE7zgoubwXsThJ82+T15cZL0bmuRvkmlFKS5SoI30/n+1Y/nEn1nprzCLNiJoPa9ixOtL1PRflO0wTnjzBGeRBnO/c6+oHKTDVdg50gxtQFa8OIE21v1vQZpapPoONbyOkxrA9j1oYRnqWzPozVKlrA2bkatwYRkzTj9frBm4q8KLneC4nTAk1AP8pIc3WOLzSchzbkuW8QF0LMowxK3kStut8HfkFKuftQe6moqHimyAu1AhmGGa5l0Asy2p6FZWgUpXyiqfRhmHGzH6IJwYWFOttBQpio9Oirqz5FKRlGGZ8/1aYoJb9/ZZerOxPqlsFqy0VDw9A1rvdCRlFO0zW4uOhTSkk/VF3He7X+YaRG5Max8p7eS31mheq27gUZeS5ZH0astFxuDyJsQ2O15T41F6qnySjKyAtJXpSMk5y2Zx0pwCKlJCtKNcqVKz9wD1U/zwqlsvc8Stc6pn7oNMbNXsj2OCXNJbqmzRrn9ri0FbA9TrAMwY+9vsjOOGUYZfTDlCQzVGbI0nltaYGruxN8x8S3TUZxjpkVbAxjfNfA1DRu7oasDSJGsdJR+PzJFgtNm3Od2kOfd0cGcSHEl1B18H8M/J8o1/YvAN8QQvy7Uso/eKg9VVRUPDPUbIM3VxqYhiDNShquzlzNmjmaPckAFqQqbVlISZQW7O0pyQtuD0JeW27QqdtIKRnHGQJVHy9KSduzKKYd0bcHERuDmH6YcrMfcnq+xkrLIc3lrP7Y9W02RzFN1zxQ0/Udk9WW0rluOio1vzVK9jUxWY99rvlZYM+D2zI0Vtrqs7rbonYPIQSduk3dNmemNoauTYVf5At3kzOK1efS9EwWGjbzd9Wwd8YpmhBkuWpCy4qSrCg51fYIkgLX0jnTqVG3VUC/thMCYJsaN3ZDPt4OKCU0HJ2Pd0IGYcqCb5PmEqHBYuPRbhzvd5b+beDPSim/sW/brwghfgX4BeD7H3pvFRUVzwyvLPosNx0lo3lXkHuSzNcs4qwgy0uCRGUAbEPj9iAizSXrgxhLV0YbpZR0ahaTNOdU2+PVJbXijtKCK1tj/vjWgIZrMYgyVnJJmBbEmZKUFQI6dZvXlxuHHsdyS+lZ79lX9iZqZWXoYibV+qLxoJrx3Zzr1omyAqSay98TJXnRAjjActNlN0hYbtVn45ZSSraDBCSc7Xh85/aQUgrevTWgbhuYusa8b7PS1qaPVyOSQsDpeW8mrpMXkhu7IYauEaYGti6wDUHTNbiw0OD1qamKlJJruyGTJGe15dI+hprb/YJ4864Avvem/mivM72iouL5ZnOsVp+9ScqF+2hMP04cU+dcp8Z7ayN6k4xJWvDqos/uJGWtHzFXtwjTYprOFBiGxoWuT16UvL82pOVZmNPZ5TgtqNkF856FZ+tc3hwzinOGUc5nTjTZnSQsNY82OjF0jVKW3OyFSiN7yUfX7m+28TKha4IkK1gbxAihxqiehInHs8DcIR3k13dDru1MaHkmJ+Y8znXrs3JPUUomScb2WONE28M2dLZGMXkhKaTkgw0lYytQq/zlaZYoTDM2RgkCiW0aNFxzVpZI8nLWc7A7SY8VxO93uymEEPcIxgohWg94XkVFxXNCnBUH/n9a7Hel0jUxq70qNTiV2nctHddSM+u6JojzAilhFOWEaU6cFbRqFksNl1NzHkGc8/HOhCgrsAyBoYkj/af3s+dCtTlMyIqyCuB3sVczl/Lp+mR/2sRZwfowph9m7ATKvnW17WKZGucW6sqxzTIIE2VFCqpcYRqCoiwxNI0wKdgYJnjTDvW6rWPoGoMwxTJ0doP0wHSEbWjThjvuSecfxf1W4j8P/IYQ4q8AfzTd9j3AzwH/yyN8JhUVFZ8SZSnZHKsLzaLvzO78XUPn1iDk3CN2+n4SznfrTJIc37lzGXItHUvXlc/5vsxAy7MYx9nU6ESlPv/kawu8d3vEmXkPhEATghNtD10XvLncYOmY87Z7qXMhwNBfzgBelpKNUYwmBIsNmzBVAcyzdLpT4xtT/3TGyT4thFAe6JpQinZ7q+I9vf+sKLFN1QC3J5bjmDqvLTUoSsnVnQlRWuCYOromeGVBCRdlm2POduos+jafO9U+sPoXQnCm83AiREcGcSnlPxBCrAN/C3gD1Z3+XeBvSSn/6UPtpaKi4lOlF6bsjFPiXKmyrbRcFn2bSVrQ9tRF+2ljGRqWcecCdmGhTpQWs0ARpjmbo4SapbPQcPAdk4tLPgKVBv/8yTZvr7Zmneg3+yEXFuqsNh3sh3ApW2g4eLaBqYtPZETxvLA+jJgkBctNZ7YK3Jkk7AYpoH4vgzAlSouZWMpRI2gvMrahc75bVxmf6Sy6lMo+tygly02XVxZ8kry4xwRI18SBm9CyLBFC8Pqyj21qvCV9lpoejcdwU3TfM11K+avAr37ivVRUVDxVNkcxaV6y2HCmwVKtFHqBkh3tBSkt18C1NKK0fCYET+4e/VmfSl4GcY5vG6TTBjTzLonQvfT3+W6dazsTfv/jHt2GzVsrR9tH3s1xO9EnSc72WEl3WobGUtN5qsp2j4qUaqU9SXKCuEDXBBujeDZrbe0TF7EMjbqjlMos417J0OeNvd9ZVpRI1Hz7UR35d6NKOnfOyVGUz5z9TD1hpeUekKzNi5JJUlCzdTQh2A4S0rxkGKVoQuNct8Yri8dvLDwOT+wvVwixAvwaahVfB04AX0Ot5lMp5U9OH/dXgT8DXAf+Qyll9qSOqaLiZSBIcrZGCaAsEk/P12g4JucXajRdk2GUYRpittJIi/KZXIF6lk44lbxcH8VMEhV8VlsO9hGzvle2A0ZRzjDOODNfe2xjYkUpCZKcjzZH5IXkem/CxQWfLSGeiyDem6SzcyJIcpquib/vs2lNNQIESmCnbhu03DumKM8za4OIMC34YH3EhYU6aV4eGsSDRM1s+1PNeMfQ73nvtqlNld7U+Xk3H28H9CYZDdeg49tsjRJ6YYIhNBquySjOHntj4JO8/e4BPwbsT73/SynlnowrQogu8CNSyh8SQvzXwE8D/+QJHlNFxQuPqQuEgEGY0g8hySUXFup4lkGrJpmrmXiWMbtAPYsBvJymK9uehalrXN2ZALAbJKS5Mjk5rFN6qekwSQLaU1euT7L//RfwqzsTrmwFXNsJ6IfpNMiZrD4HaeZhmHF1Z8L6MOZE2+X1ZR/H1CmkPPA+vbtKEI/L/ObTxjGV+c04zvj22pAvnGoDB61wh2HKjV4EQClLNKHhmNqBVXM5tey9uKQEiQ4Lxrf6McMoYycQLDbUVIRvm+gauJZGyz1es9rD8MSCuJQyBuK75gl/RAjxu8D/JaX8O8D3Ar89/dlXUDanVRCvqPgE2IbOq4s+l7eUzWialyR5oS4u4xQh4OKSj8azt8LqTxLevTXE1DTOdmusTB2yTrRdru+GxHmBSASlzLm0FXB63juwEn5zpcmJtoela4+84rnZCxmEGe2aScuzSLKCb9/s8/H2hPVp85dr6mTT+fpnnVGcYRs6qy2X5ZbLXM3iw80xWS5ncrQvKiq9nROmSsAnSHMubSrltbZn0XJNsrJkN0jJp2JCk7TA1EuGUcnJtodj6Xy4MeJWL+LknNIq2H9qJdOpCVPXKGRJUhQsNb3pTZDEdw0udOtPbLb+WEFcCPFTKOnV2cCllPJ/fMh9rQOvAgnwz4QQ/y/QAvZc0IZA+5B9fxn4MsCpU5XXSkXFcbAMjdPzHmuDCMfUcU2d7bFKp+7Jkj5r475BkvPVj3tc2gyYq1v4rjEL4o6pI1EezTtBouq0UllF3p3O/qSBdRhlSCR/dL1PKWEwSfhgY8wgymi7Jq2ahRSCTs3mdj9CAnP7upefNbq+Mntp6AYLdZtSKtldUB3WLzKTtCArJCdaHpvjiFIahGnGJMkZTFI822AUqwkJyxAsNGwaqc7vXd4FqZQNLy75U5tc5XKWlxKJ5PR8DYHK0kgJUaYsThu2Sde3p7VzQZyWTNLiiSkAPvBVhRC/gAq2fwL4JeDfBr76sDuSUiaoAI4Q4teAt4ABsDp9SGP6/d3P+0XgFwHeeecd+bD7rah4WanZxoF04HLTRddi3CPqyZ82eaFMIBqOgSaYpSP38EyDLJecmfcQQhClJQKYJBlCiHvSwUchp7KtR62MFnyb24OIIMoZJznDJEOirCYXGjaLTZeaZVAiGUUZuqYRpdEzG8QdU+fCwsFmqpNzHqMoO9Yc/fOMbxvUbDWy+Oaqz81+yLs3BwxDVf8+Oe+xNU7wLA3fdlhsOKwNlOBQnJbE03Nsvm5zbScgzmA3MGh5FqMow9IFUqpzcGucUEowDZVKT/OS3UlCKeUTVQA8zln/Q1LKt4UQ70op/7oQ4ueAX3nYHQkhfCnlePrtDwJ/D7iKMlj5OeDHeYSbg4qKiuNhGUpZ6lml6ZosNx08W+ezqy085+Dl6eScSys2Z6Nga8OIW72Ir7y/yVLT4Z0zcw8chZokOVd3JuhTF6zD6r4LDQdTF6r0EMSc7biM4pwgKZirmZRScGrOo+Pb5KUkiPNnorv/YWi65nNRCvikaJo4oIFwZr7O7X6Mpec4pmC15dJ0TdJc0nDV77Dr21zo1hnFGec6NVxLpcOHUcp8zWI7UE5mvUk6G2+cpAVJXjBJCtqeWqE7poaGQAjBTpA8tE/4cTnOmRdN/4+FEEvALnDmQU8SQpjArwOfBX4D+B0hxL+FWo3/npTya9PH/Y4Q4veAG8Dffeh3UFFRcSzGccaNXohtaJzt1J85ZbJhlNGLMpK8oB9l9wTxOCu50ZuwMUpY9G1qtsFukDJJcvphym6QPDCIj+IMOU0nT5L8wJz6HlJKoqzEtTTeWm1Ssw10TXB5M6BEUrcM5uoWy01HyZLm5XOntb45UhatLc98pm/sHidhmtMPM/zp77PlmnR8m5WWe+B3aOoHG9qSvJgJ4WwHCXM1mzgr2BqltDwTx9RZ8B2Qkt1gzNXdCYMwZbXtkRWSum2QZE+ubHGcIP7rU6nV/xn4FlAA/+hBT5qOiv34XZv/xiGP+1ngZ49xHBUVFZ+AQZhRlhClJWGa3yNQ8WmTF5Lt6RjUThCz2j64comzgnFcMI5yDCHwLB0hJEGaY6c6WVFyZTu4b3267VkzW9JSllzeGmMbOifa7mzF9NHGmN4kxdY1bEMjiAuu7AS4puouXmq6nJ6/0wz2LJYmHsRuoCxb+5OM1daL50h2GNd3Q/JCTh3cXDzLmE1m3O93qAlBP0zZGSdEWU7dNHhvLZjOf2dc6Pq8sewTpDnrw5iihBNtj9W2NzU5UWUYgK1xTBDnLDScx1Yjf+CrSCn/++mX/2Ray3allL3HsveKioqnRsszGcdKpOS49eOnSdMzWW07FCV0/XtNS9TF0GKSKMEax9RZbrl89kSbum3Qm2Q4pnHf+rRaNdnc7IV888aQhmvgmgbtmrIeHYQZmiZYH0a0XAuhwU6QIqVkkhRcXLJZbh1tqPK80KlbbI0T2jXrpQjgAIYmyAuJZxsPlX0wp30aEhXQ10aRqpULiaVrylUvLzjR9uhNUsKkZLFhM4qymZa6Y6qbzM2hukndGEb39Ck88vs66gfT1PdRP0NK+X8/liOoeG4589f+xezra//Tv/HIj6l4OviOyRsrz9bqez+mrvH2iRZJXtJwDOKs4GZP2TfumaCc7/osN1yu7Sqjk4ZjcrbjUXcMikKSFvJQEY49+pOUP749YBRm2KZOmOY0XBNnmkrt1C3SvOTVRR/L0BnHGY6l4ZQ6F5d9LizUn3sFM1B1/4XG838z8jCc7dQIkkfrX1htudweRDimw3zdoixhEuf81keb/OG1Hq6p8QMXOvi2CtpzrslvfbRDf5IRZyXLTRdDE9imRpKVuI/xJvp+r/Qz9/mZBKogXlFR8VjZL726O0mJsxKyknGczYwnJmlBUcIH62M+3g5oeiY/9eYSiw3ngfXpUZzRdEzW+qrVZ6lR40KnjjENzC3PouVZSOkzinKubAcYmkNeSl5b8l+aVeuLiKFrs3PoYek2HH7ijSWitMCfrsq3RjEfbo9oRAX9MEPXBK8u+cRZwe98tM0f3xwQJBmn5muc6XicaHtcmCokPs4SzP0MUP79x7aXioqKiofEdwz6kxRdOzg+5jsG22PB5kipY13eDoizgv/gS2ceuMLp+jZpXrLScomyghu9kFPzHq27GtyEEDQ9k7OdGr0wZc57edLOFYez34MA1NjZ2fk6V7YDznS82Tk6SXI+3gnYCmKipGC+bvPVK7v8+BtqNM3RHm8PxQPzQkKI/0II0Zh+/Q+FEH8ohPixx3oUFRUVFXfRcExeX27w2pJ/4OLpmDqvL/v86GtddE1gGxqmprE5FbO5H56lZudfX26QFyWmLhjHR9s1tGsW57v1Z3YGvOLTwzI0fvS1Bf7jHzzLD7/SnZ2jpq6hC6hbBktNC9vQ6NRtRlH+RI7jOMWdL0spR0KIn0SZmPxF1Fx3RUVFxRNF18ShK2AhBGe7Pv/m55Y511XjckJKBmF6rNdVncGCMC2Jsqdvw1rxYiCEwNC1OxrsUUaQ5BhCQ9c0Vtoef+rtZVbaLvP1J3MjeJzq+p5K2r8O/JKU8htCiOe/s6OiouK5JS9KdE3gGAZfOtdhcxRxeTug6VpcXPLvGZ+Ls2LmVa5NbwxOzXlEWUEQF8RZ8VyOilU8O0zinG/d7BPFSg3u4pKPJmCp4T4W3/AoyNEDAAAgAElEQVSjOE4Qf1cI8f+gdM//OyFEnTuBveIlZH/HeUXFk2B7nJDkBYsNZ9YNvjWKCZIcAQRJgWupcbEtEtKipDfJudWLmK/bsxncnSAlK0p2gwQQBEnOyTkP19I5Mefx7VsDLEPj2u6E15Yan94brnjueX9jyL/6YHsqCGPQcCwWGg63+iFvuMrbXkrJTqCyRZ364+mzOE4Q/4+A7wEuSylDIUQH+E8+8Z4rKioqDiGIM755oz8b9Xp1ySfJCzanQjBb45gF3yFKCzzb4BXP4vYgZK0fE2UFoyhjd5KiC8HGMCYt9uQwLcqpbvqeu5WmCXRNoFVNaxWPyDDKuLYz4dJmQJTmRElOaAhcq6Q3Sfnu+phTU2/73UnKxjAGVKlo7jH0WhxH7KUQQpwDfgL4m4DL8WrpFRUVFQ/NzV7Epa0A3zGYpKoZyNRUZ3CalzN1tb3u9SDJabkWpzseozijlJIsL9mJUq7tTHBMnZW2w844RddUAN8JUgZhRs0yqNvGA+VaKyqOYnscMwgTvnWjT1aWzPsWiw2HMCkIywJDKJlbq+2h77tZ1B/TjeNxXMz+PmCiXMz+JjAB/iHwxcdyBBUVFS8tZSkZJxmuaZDkBZaukeQlyw2HvCw5O/W61jTBhYU62b4Z20mS853bQ9YGMZYuWGo6s07yjWHMle2AzWHMUtPBEGrVkxWS766PSIoSpOp0X266L4SAS8WjE0+bG+/uiyhKiZRypiOw//GllHiWQcM1+f0r0axBslszqTsmuYRz8x6plDPjnYtL/rQng3ssdB+V46TTf0BK+QUhxDcBpJQ9IUQ1b1Hx0FTqbRX7yYqSr1/tsTlKMHRYbXnYpobvGlxYqDNXtw6Ic+iaQN83Y2vqGkmuLpxhlhNlJY5V4lk6UkKWS4RQUpntmkUvTElySVGCreu4psbJeW+mn13xcjKMMm7shgihVN32FN3irODKdoCUcHremzVLBknO1e0JoJz1FnyHz59s8e6NPpO0IC1Lpcuua7Q9m4ZnIBDkpTJBedzucccJ4tm0G10CCCHmgRfbSb7ioakCdMXDEmcFYaqC8CjOWShLzFJjteVi6RraA1zWLEPjC6fmuNGbsBOk1G0DKcHSNU7Ne2gaRKmH7xh06jYLDWdmkpIXkm7DqQJ4Bcl0BS0lJHlJbWqxHqUF07hLkNwxDMryO+EvnX791mqTn/7cKjtBQjo1Wen4Hm+uNHFNnUGUPjHr1/tppxtSyhz4X1H+4V0hxN8A/hyHuJFVVFRUHJcoLdgaxdQdHdvQWGo2cEwd19IfatSr7hi8sdIkyQt6k5SabWDoGk1Xo+k2Z6Noe13Apq5xcdFHSh54k1Dx4rA+jIjSguWmi3uXtv583SYtSoRQ9qR7NFwTP8oopDzQgNbyTOK8oJTquaDmxb//QoedIMGzDGrTfeyl4V3ryXiJw/1X4n8IfEFK+Y+EEN9A2YoK4GeklN95YkdUUVHxwrM5ignTkpplcuFE/Z4L68NiG6q2fTd31zJBXXCrZvSXhygt2Bmrsa7NUcyZTu3Az3VNHOpqpmvinseCOn8OO9dMXTt0+5PmfkF8dppLKd8D3nvyh1NRUfEiIqUkm6YZ46xgnGREaYnvGph6FVErnhymLjD0PRvSOzeLQZwxjDKanvXYvL0/De535F0hxH951A+llH/7CRxPRUXFC8gHGyOSXNKpW0ySAqTANASvLNQPXS0fh7KUVUq84oEYusari/5ssiHJC8Zxzh9+3CMvS07Ne7y92nqkc+lZOAfvF8R1oM6+FXlFxXGoFN0q9rM9jvlgPUDTUJ7KuoZE4pj6gQAepcpVzNAFZ+Zr6Pe5ON7qh/QnGS3PrGa8K+6LlBJNqPGx7XHCxjBmJ0iQqEmFvFBTDGGac7MXYeqC0w84/wAGYcqtfoRlaJyf6vd/GtwviK9LKf+HR31hIcQK8GvAG0BdSpkLIf4O8A7wR1LKvzx93D3bKioqni/KUhJlBa6p0wtT0rxkwbcxdI0oLdE1NddtaBBmBXFecL5bP/AaW+OYjWGMY2p0ajZN7+hu3mGUzf4/+UTfWcXzgpSSMC2wDY0wK5gkOUiVBao7Bm+ttAin4kGGLnBNndWWxWvLyid+N1DnbZqrbvQHdZMPo0x1tGfKROfTSskfqyb+iPSAHwP+KYAQ4gtATUr5w0KIfyCE+CJQ3L1NSvn1T7jfiheAamTt+eLjnQlRWiCEREp16ZCgxsUMgaXr1BoGaSHRhMAzDfphypXtMZe3AlZbLp6ltum64DPG/S8/Xd+mN1E+3xUVALcHEf1JhhBQSolA8OHmiFJKbvcjVpoeiw2HNA8Jhzl5LtmVCZPE42YvUuqAEtx93eX3Y75uE2cljqkd6/FPivsF8U/kGS6ljIF4n8D7l4CvTL/+CvD9qHnzu7dVQfwlYC9IVwH6xWBP8SorJKYukBLMaXrRsw1W26prd75mMYwzDE2tfL7y3U2CuGBtEPOFUy3qjkHbs7CmaXY51Tq/2yhiwXdY8J2n9fYqngPiTM1s56VEIBFCMFez+Xh7DAj6YcJKy+Fct87Xr+5ydXfCgu/gWAYNx0QXGotNi4XG8TrM67bBxSX/Cb6j43FkEJdS9h7zvlrAlenXQ+BN1Er87m0VFRXPGSfbHv0wZa6uAnBalDNZyYZjcqbjUUqVpswLiWUo45G6YzBJCjQNhpOUSVaiodzHTF2wMYrRhOBct1YJs1Tcl5WWw/Y4oW4b1GyDKC14bcmnZukUpeTqboiuaSw1HNJCMoxyalZO2zWRQjnnxVnO9jjllUUfy3g+pHifZhJ/AOx5/TWm3xeHbDuAEOLLwJcBTp069eSPsqKi4pEopaQoJI5zr2DLntrV7X4EQJiUnO/WmKtZBHHKrUHMe2tDorRkfRhj6BpCQMu1KJEEcY5dr4J4xUGSvGB9EGMaGitNh9Pzd+a6987Bt0+0+O76iCXfJi8k/TBB1wV1S5V3BnHGF0+3QaqU/K1+jBCC16Y65886T/NW4w+4k6L/ceCrR2w7gJTyF6WU70gp3+l2u0/lQCsqKo6mLCVbo3jq0a24PYiYJAUfbqoa99Y4PvS5iw0by9BYbNh4tsFSwyEv4VYvQhcalq6x3HQoyhLH0NAEuJZG4wlJVlY8m4zijI1hTFbcX+F7a5QwjnMub41599Zw1vC4n0JKJMrH2zQES02Xc50aXd9mwVduYzuTlG7DBiRtz6SUUumMPwc8sZW4EMIEfh34LPAbwH+LqpH/LvCulPIPp4+7Z1vFs0HVXFZxGNtBwtbU21tJnJp4ls44zgninJqlUpmmpjGKM9o1izQvibOCBd+ZSVUCpEWpdMx9m7pjcKFbp1UziZKCSVogAcfQudkLWWw4M3OKiheXNC+5sRsipeq1OEw1bQ/P0rneC/lgfcxC3SbNS7737NyBxwRxjqXrnGh7dOs2nmXwPafnWG66XN+dMI7Vav7CYp0/8eoCl7cCilIySfPH5jT2JHlifxFSygy1ut7P1w55XDVW9hxQzX5X7KHt90SephtPz3vEWUmrZjKYZLiWzu1BhJTQm6QYmkr69YIU01Ar69WWi2PqzPs2jqWz2LBpuqrb/GYvJC0kSV5we5DjWQbrw5gLC/V7D6jihWJ/BvtBs9fzdRvPDDE0jbVhjO+ZhEnO5jiZec+3ayZBkqOJOw5ijqlzrlvHdww2huqGNMlK6pYy0dGEYH0Q01h6iYN4RUXFi0nXt6cuY8xmY4UQuJbOSctjwVe+4Fe21diZa+rkpURKGCcZPiYfbwUYAhabLqute7uBFxuO6nDXLUZxTpqX1OyqJv4yYOgaFxbqhGlxwJDkKHzH4HTHI0pzlpsOSV4QxDmjKCNKc94+0Try5m++ZpMWyjN8rmahaQLXUtoG3qc4NvYwVEG8oqLiobmfEMteF/m5To0wK/BMnawsidOCzZHGrX5EWpRsjVNMQz/gELWHZSg7UYDFUpJOJTMrXg4c8/hudue6dZaaDkUp8SwDTUBWhNweRLQ8k81xfKQxiaaJe24iz3Xqz9X59nz00D8kZ/7av6jSvxUVnyI7QcJ2kOCZOpomsA2dYZST5CW2KVhqqBnv4zT/app4bi6oFU+H3iRlYxhTlBJdE/iOScuzsAwNQ9c4261hGoJJUrA5OrzJ8iiet/OtWolXfKpUzXMvHsMoY31w58K5OA3YxVS4pelaLDUcTF2774q+ouIwgiSfjSqWUrJySDnGs5Q1bVHKY6Xkn2eqIF5RUfHQ5EXJ7kQJsvTDjCgtODnn0XRNjH3L6/1NcKstl94kxbP156Lrt+LTpSwlO0GiNANQY4w122DRvzPdYByRyrENndeXG0RpwXz9xZbmrYJ4xTNPtVp/9lgfxgymwVvT1EVzEKY0XZOabXCuWyMv5QETCcvQWGpWUqkVx2NrnLA9Vp3jEqWFHsSqee38Qo0sl/fN5DRd84EmJi8CVRCvqKh4aPZGfxxLw9QFpYTWPjOSap674pOi7evY6tQtepOMmm1gG5rS0n+xF9jHpvpLq6ioeGiWmw6uqWObGp5VXUYqHj8LvoOlq0a1um2w0vq0j+jZpPrrq6ioeGiEELQPGQ2rqHictCqr2QfyQo6YVbwcVKOEFRUVLzvVSrzimaEKyM8ngzAlzkrmPJONUUJelqy23co6tOKxcG03YH2QcL5bY6FRNUbeTRXEKyoqHpk4K7jZUzO7u5OEcmo6tRukh87vVlQ8DHFW8P7tMUleMopSfuKNpefCHvRpUgXxigNUq+GKh0EI9U9KJbARpgVSVt3pFY8HS9ewTY0kL6tz6giqT6WiouKRsQ2dc90aSVbS8kxKqVS0TL1qt6n45Gia4IcvdOiFGe2aWa3CD6EK4hXPFVWm4NnDsww8S6U+R1GG75g8R9LTFc84hVQa+1PV3oq7qG6XKyoqHgvXd0M2RwlXdyaf9qFUvEB8vBOwOUq40Qs/7UN5JqmCeEVFxSMjpSTNVTfbXqZTVBnPisdIPvX7rjLph1Ol0ysqKo5NEOf0o5Rl30HXBVe2A6K0xLU0LEMjLUrqtj6ziKyoOIo0L9kaxQRpzlLDoeVZ9CYpeVHSqdtommBjGJMVJaWUXFzyP+1DfiapgnhFRcWxSPOS3/5wi6yQLDcdvnC6zSDM0IXg0mbIfM1mO4g5NVdD1+JqxKzivtzoTfjWjT5rg4TVtsP/z96bxEiWZel5333ze/Zs9tnDY46cq7IqK7NKNTSbPaBIgC1QBLQQBBLQQmhoR0CAQG1FbURtKEILAb2RhAa4kKAmJEgUpG6R7K7q7squyhqzcorRPSJ8tNnsze/eq8Xz8IzIiMiMrIqMyKh83ybdzM08b5g9s3PPuef8/zfO9RjHJQCaysJ2kRUnegOiLvE8kCcaxIUQZ4E3gXeBXGv9XSHEfwH8fWAb+E+01sWTXFNNTc2jUSrFYJGSFgrbEIzjnEVakklJv+EgxIfGKHUWXvNxDBcZP7g25PLBnKZrIxWkx8cy8KGF7UrL43CWEro2jlWf/j6Ip5GJ/6nW+h8CCCGWgd/RWn9HCPFPgP8A+F+fwpq+MNzp7q4tPWs+yjjKmaUFS6GLb5vszxLmiWSt49L2HfanKVJVX7ArLY84l/TDytv5TD+oSp6iiVSazsdYRNZ8cZgmBZM4p9twaHk2WmsmccGb14akhWSrG9D2LULPJMkly00PzzZONNNbnl17z38CTyOI/44Q4nvAnwAfAP/u+P4/A/5j6iD+qai9tmseB0ku+eXulMCxyMpq5vvKQcQwyjmKXL602SbKJJvdgFIq1jseS6HLPimBY9L6Avg21zw687SglJrbkxitBVEmeWnD5miecW0QcTjPyAvNSsvlmxd6jKLy5Lm16cmn40kH8T3gOSAD/negBRwc/24KdD/6BCHEHwJ/CHD69Okns8qami8QWSn5yytH3Bwl9EOHr2x1cUwDdTyYaxkCIWC56eJYgk7gsHqsYX1uqfE0l17zOWORlVw/WnA4z1hpesSFJLAtXLsqhStdXU+dwOHSqsOl1Sa9wCErY5SGbqPeDH5anmgQ11pnVAEcIcT/CcyAzeNft4DJA57zR8AfAbz++uv1uP+vwCcJpNQCKl9srhwseHdvxjwrsUzBetvFtky+dqbLOC4IPeukrLnWrg0oah7O4Szl1ijhRzsj1ts+v/vCclUiP25OW2m6GAZsdn2ank14LKV6fjl8mst+pnnSjW1NrfX8+Oa3gf+eqoT+3wK/D/zgSa7ni0wduL84FFKRF4r3D2Z4jslL6+2T32mtmaYF0yRnGBWsNV1+eGPE82st+qFLsy6T13wKQs9ikZeYhmB/EvP+3pwkVygNGx2PUmkO5xkNx6Rbl80fC0+6nP5bQoj/miob/77W+k0hxF8IIb4P7AD/3RNezzPJwwJwfT5ec4dSKt7bn/Pe3oxJnHG0yFgKXZZCn4ZtkkmNVJqz/QbdwOZcv4lvp8yykr1phmkscG3zJFOqqbnD4TzlpzsTXMvg6+f6mIZgmhSErklWSHqBBUoziAre2hmzPUo41fPRWqO05sYwxrdNNHChzsB/bZ50Of1fA//6I/f9M+CfPcl1fB55lABcZ881j8oiKzmYpRzOUn54Y4TUGt+O+VuXLA5nKYMoR2rNIi34yqkOrm1yOEsZLXIKqXEsA6seE6t5ADdHMVEmiTLJ0Twll4okVxRScThPiTKJQtMNbAqpiPOConQplSLOSwaLlNWmh1lfXo+FeptdU/M55uYoZpGVdBs228MYoTVfPdNDAOO4oOGaBE71Mc5LdTJL23AtuoFDXEgmScHhPCHJJLvTGEsIRnFJx7PY6AU8txLyH71xmq+f7ZNLxSIraTgWXu1iUnMXhVT8/NaUG4OINJekpWJvmuA7FkqDoJr//ssrAy4fzJFKIhWErkW74fD1sz22hxGuZZIUim7DISs1qy2XTuCgtWaRlfi2iVW74D0ydRD/DKnL288ueVlJPT7NQJaXiv1pws4wYmeUcGscEeWKf3+e8vJmlytHC9K8ZLPrk+SK0LVQWjOOcm5NEs70PDbaLg3XYH6QU0jYGSSAxrIMJlFOefz4JJd895V1Xlxr0bBNQNfSqZ8Bn4fr6s46JnGOaQi6gXNi8VlK9dAAOokLdoYxSS7566tHXB/G/Nk7Nt+5uMRKy8M2DA5nCduDiHFcoJRGKokAJqnkcLZHKTVnlxogBFprXj7uz+gEDr+8PePWJGap4fLlU21KrXEtEwG1BenH8BsdxJ9GEK1L3s8+28MFP785I/RMvrLVpe3bSKU4mGeYhmCt5d0jAVlIxc1jh6WWb2MKQbdxb9NOXipMQzCOMj44mLESeqx1A2xDcPlwjlSanVFEYFu8utUlykveujHkj39wg1ujFLSi1NBwbWZxzt/7UsFfXR8xnKec6gXMkoK0VKSFJCsVUipc2+RUxyPPNYFrEeca2xbYhkVeSPoNG6k0Uil2Jwl/8uNbdH2Lt3fn9AOL33tpnd96bom9aco4zllteZztN2r5y18BKRXvH8y5MYxZCh0uLIf0Gs7HvpZ3NlHztGAcFXQa9wufFFJxe5ywyEp6DYf1tkdaSFzLwDCqYHxrFPPu3pS0lOxNEhq2ye4s5dpRhCEEf/uFFb600eIXu3MarsnFlRDLEPxyd8ZK0+PcUoOjRcK/eus2b14bkkvF7UlKmisMA/ZnKS+utVBo9qYpWSkxhCD0TVzLoZSaWVoSZyW+YxLlJUUpOZymxLnkhfUWpVT89NaEUimmScE0LXh3bwZUnesXlhuYhkE3sE8EhmoqfqOD+OedOuA/Hh7XZk0pzd4s4c1rI25NYqK05P39KVkBcVGw0Q14abWFZ5k4lsHOKMY2BZ5tcH0YkWSSOJfM0pzQtXAtk9W2x3rbY56UJIXk//jpbS4fLmj6Nv/gK5tsDyMuH8x4Z2+GITRNz+Hr53osUsXbt8e8vzcnl9V8rSkgl5XZyP/2k5uMohKpNZO0BC2IsgLHMsgKiRACt9Q4Vo4Sms1Og15oc6rXYKPlczRPMA0TjcZ3TPYmKY4peG9/wcE8Jcos3t2bs8gKrhxG+I7FyxstuoFTi3F8SrJC8vPbEy7vR+zPYhqOxTwtCEyTqCx542yPdnBvYLp6tGB7GCGVZhTlnO4GHMwFRam5ejin4VpcWgt5++aEH25PsEz43edX+fG25kc3RjQ9m2+c6/HTWxN+fnMCaHZGKS3PIs4lvmtxexQTejbz7DZvXhsxTQpcy+DCSkhelvzi1hzbEnzz/BI/uD7kyuGcKCuRUhHnCgVYmqr6E6dkJURpiWkYnFt2+UdfP83WcsitQcQfv7nDNC0x0fytiyvszRKWmi6rLZ+Wb3Ewz2i5NjeGEdJVXD2M2J0kFEoiBMySnHPLIUkuP3Hz80XjCxnEn6Uydx3onwxZIfnzDw752c0pnmXws50J+9OUXErank0uNa5l8M5qk5c2Wwgh6DdcOoHNj66PuDWNGMxypnHOJCkQCDY7PmeXQtY7Hi3fwTLg2lHENMnIpeLawYxro5h39uaMopxCKg5mBTdHMYFrE6UFCig1mIBjgikEaIM4U9imQCho2Aa51DQ9G98xWQptDAyavkXgmEySAt+xONfz+caFZXzHpOPbDOYZ/dDBMg2uHC5I8pLvXR5QKE1gC55bDciOm9zivMS2jKdeBn7WOJgl/PXVIduDiJujmL1JjGVb/OjGgKtHle/6V7Y6vHamR6fh8sbZLlppfnhtRKkkP781o+Ea3J5EGNrg3d0JN0YxnmWQl5ppVlKUioZnsj+pMlvPsbAMg91JwvYoZm+a0PJs4ryssnsBgWMQuiaWAWhBVsoTtzDLNLg1SlEakkwyiTM808AxTFIkvmdTyoysgLZvcWkl5MX1FteOIspSEpUKzzJRQvDqqS6bbR+tYX+WcXo5IM4Ua22Xhmuz2fUIXYu0UJxdCnBtg05gkRVj0sJGaZOW59BruJhCELhmHcA/whcyiD9uHnegrQP34+HTbNauHC74wdUqA+81bASVL3ZaaLI8QwGebfLO7pRpWhA6NrM0Z7TIGcU58zRHSk1cKDIJBjBJqiAcF5KlZolvGRhCE+eS5dDhcJ6ySEqkkjQciygvibKSSQJWVGCJKvsOLOj4No5t0g8dPNvCtQw2Oz6mITi71GA4z1luO7yy0eHLpzokhWSRljRck7dvT5kmBa+d6Z0orUFlLnGHOyXK33puhb1JQtO3aPsO7+/NWApd1toe55dC3DqIPzJH85R/+eYOi7Tkl7sTTGFwa5qwSAqSQpGXYJmQlmPmmWKzExClBf3Q4+pgztXDOb+4NaWQ1WiWawuiVJKU1fVlC3A8ExRYheBgltH0TKZxwatbLfaPy9W+beBZgnP9FrnSLIUOr211aQU2+7OErueyyEvitMCxTFY7Pqe7AX/67h6BbbHVa9APXV4/12Wl4XDlaMEPro3JipILa03+8e9d4pe35/QaDu3AZhIXlamJrsRflkKXP/jqqZPXJcklpiHuMTRZbrp4tsG55QbjqODvvuJWtrbHgjCuZVTVpdoE5T6+MEH8aQfG2njkyfCrvs+ha2KYGq01s6TgdD+ousKDyp2rVJq4kCyHLoFtMYpzoqxgexyTFAopNZZRteiaAmwLbMuk7duEns1622dnsMA0DEoFw0UBJJRK0wtdpAQvFcziEg2UCgwDHKv6Al5r+5zpN8ikIvRMfu+FVVzb5EubHQ7nGVkh6TQctroBpiFomgbN4/PTb11cfuTXwTQEp3rBye3n11s8v976lV7TLzrv7s24MYjYn6XEmaLpG2gt0IYBJlhU10zbs9Dok7NkqaqGrsNpQpRL0qISqoyyyqJTAMIA2zLoeRZbPR/XsohySdt3+P2XVnlxo8mVg4j3D2ZcP4rY6gbMsxJDaPqhRy90+a3nlskLRXncj3H5IOJwkeJZgihTBLZFLjVH85SzSyGhZ/Pa6Q6rnQajRDKKMrq+w41BTJSXJLnmwnKTrm/TCR2ars3BLAMBK80PN4y+8+CN4J3rtVkbnnwqvjBB/IvG0960fN74pKz8dL/B77+wxtt7M6TUzLOCN84v0XYtkrLENgz6octKy8V3LPYnCf/32weshCXTtKDpWbR9C7QgL6us6aX1Fq+f7WNZJk3PYqXpcH0YEzo2Lc8i8CyWGg55qQgci2tHEVGhGc5THNvEMgRd38Z3Ld4416XlO7Q8h7W2x8XVJqstl8Cx6kafzymLVLLe9imk4tVTPkprzvYDLh/MiXNNP7Q53w/42tkupmngWhYvrjWRaCwT3r41YRiXSFVgG1Xgbjo2pQbXElxabfLbz63wd19Z5e3bMwql8G2L37pUbdp82+LMUkCcllw+jAjcqtktdCxO9xu4lnni1f3BwZxCSspSoxFEeYkpDAK76seQqjr7zkvFxZWQb13o8/atCZ5j8u7enDP9gAORcXElZLnpsdXzuTGomj3Nuvz9mVIH8V+ROkj+ZiGE4Bvn+yw1XYaLnHGc03AtVpouDddEa8FKyz350gN4davDzjjCFILQMVlt+7imhURXYzVJgSEqLXLPtiik4kwv4K+vDSg1vHG6CxiEvomUmu1BzCzN2Z8lpLkiLyWmadJ0LV4/12Ol7WEZH5bRaz7ffHmrTaEUr2y2aHkO/abN+aUmw3mCIQwsUxAcl4vvuH51AhshBFvdBustnx9tD/EsQVIoVlqVTWcpq6Od5abLc6vNKjB7DtOkuGdc7I4euVSaS2tNbNPANCpHsY8ajbyw3qSQknbgsNLyeGWzxWrTAwQXlgNmqcSxDALXInQtXjvdpZSaSVLQCWzW2j690KHtOay0XJqezbnlBlJp2rV072dKHcQfwoMytzpw/2YjhODiSpOLK9VtrfXHNtFcWGlyYaX50N/ffeYMYBomL212eGmz88DHv7jRppAKyxDkUmEiUIB9LJ9JvUIAACAASURBVG1VN/Q8W5zqBmx2/Pvet1P9+6VGH1RCfmmzzUub7fvufxAN16LxEIlc0xAs31XOftD/q+07fOfSyj33ffflSuvcNg1KqdCAfTxDvtLy+INXN8hKiX08yvbRWe5asvfJ8IV/lZ90p3q9EXh2eBpB886X5N0Zf82zy7O88RJCnGwgHyYAU1+nTx+h9bPj7rm0tKTPnj37tJdR8xvEjRs3qK+pmsdJfU3VPG7eeustrbV+4E7qmcrEz549y49+9KOnvYya3yBef/31+pqqeazU11TN40YI8eOH/e6ZCuI19zKNC/ZmCaFrcaobfPITampqamoeO1prdkYxaaHY6HhPdEyunpx/hjlapBSlZhwV5KV62supqamp+UIS55JZUpKXiuEif6L/7zoTf4Zp+TZJnqG0JilKNJUGtm0ZbLS9Z7qppqampuZxEGUlhVRorRnH1RjeRw2Kfl0828SzDdJCPfGRujqIP+OUSlGUir++OkJrfawQZtH0rPscj2pqamq+SCS5rDTdpWKeFXQDl1vjKad7AWtt74FeAINFxtE8oxNUSouPgmlU4jtK6Sdum1oH8WeUWVKwPYhJC8l7+7PKFcm2sI41tS+t3D+LWlNTU/NFQmrNYJExiQuivORonpEVGjSMo4yvnO6eVCylqmSXj+YZpdQM5jmrTe9TBeWn4XteB/FnjEJWZy63JpU7kQEkecHRPEfrjG9c6LPevl9goqbms+ZZcges+WIQHivMCQFCaJabLu/cnvHWdmWFutz0ONULiLOSa4PKVa5SxdO0fOuhQTnOS7JCnSjsPU3qIP6MceVwwTTJOZxltDyL9/ZmDBaVGcdGx8cQguWWW1tG1tTU1ADPrTV5Z3cKCPanGVCZsISuTSYVN0cx28OYTEpWwsoatRsY2A9xTEsLyZWDBVJrVguP5aaL1tzjyvYkqYP4M4JUmt1xws9uTiikYrXlERclB/OMcVzS9CwuLDe5uByy2Xm0c5yampqa33Tavk0ncBBC8M7ulAurIZOo4PxKg7P9Bu/uzQhdi2RRWfdKVdnIApxbbtwnH1uUiu1RRCmr7+XDWYplGpzpB0/Fge2pbB2EEP+5EOL7xz//cyHE94QQ/+JprOVZYJ4WvLs346c3J0ilkVKzHLpcWGpiCIFrCjY7Pi9uNDndr+fFa2pqau5muekyWGR0A4dZUvLamS6nOj7XBxGuZeDaBq9udTi/HGKZH5bHH6RoKgxBv+HSDWz2pwnXBzGH85Qkl0/yn3TCE8/EhRAu8Orxz68BDa31bwkh/gchxBta6x8+6TV93llkJVpD0zOZJjlnlgICxyIrSzzHpOM3+PalJV55iLFGTU1NzReZpdDlxfUWcSbx7Cprfvv2DADLFLy43jp57HLoIgTYhnFPZn00T9kexmityaWi13DwbJN5VgLQe8xja4/K0yin/6fA/wz8U+CbwJ8d3/9nwL8H1EH8I3QDh3laUCjY7PhIpclKySDKaTgWvcDGNGrdnpqampqHca7fICkkvm0ihCBwTeJMEtgmWSlPzFwMQ7DSvNeBUCnNm9dGTJKCOJN880KffuhgGoJJXLDSdLFMg/1pSl4q1treEzsjf6Lf/EIIG/htrfW/Ob6rA8yOf54C3Se5nmcFzza5sNxkqWGzO01ZZJIoLwldi+Wmg2UbSKmJ8/JpL7Wmpqbmc4lhCBruhx3n55caXFxukJaSD/YX7E/Thz63VPrYJhhc20CISmxrteXx/FqTbsNhkVUjbNOk4GD28L/1uHnSmfg/Av7lXbcnwJ06Ruv49j0IIf4Q+EOA06dPf9br+9xiGoLQs1C6aqxYbrqc6gZsdQMGxzJ/cS4JnAe/pVprhlGOAPqh+wRXXlNTU/P5QwiBYQrysjr3XmQPT4JujWP6DYfDRcrvv7BKv+neN1pmmwLDAKV4otNBTzqIPw98RQjxnwEvA0vAl4H/Bfh94H/66BO01n8E/BHA66+//uz4pn4G+I7Fl061yUvJWqtSG1pqumSlQoiq7P4wRlHO3qTaHRpCPHbZwZqamppnDdcyWWm5LLKS1Zb30MdJpZmlJZZhcjDPWHrAY13L5NJKE6k0vvMbGsS11v/kzs9CiO9rrf8rIcS/EEJ8D/iZ1vpvnuR6njXWWh6mIXAtk/C44cI2Dc4uNR74+FIqBosczzYw7to11jowNTU1NRWrLY/VT3jMVi/gcJ5hGuIeAZhpXBAXJUuhi20aT2VW/KnNiWutv3P833/8tNbweSQtJFJpGu79b41lGo+s5QuwN02ZxAUAl1ZDtno+SlFrqtfU1NR8Cjzb5I2zPWZpQdOrvpvTQrIziqufc8WZfnBPgC+kIi3ksWLcZ5c51WIvnyPSQnLlcIHWsN526Yf3nrukhWSwyGh69iM55dy5oISoSuiWaXBjHLE3S7iwHNaqbjU1NTWPiGMZLN3VT2QIwTjOiLMS2zKJi5LzSyG+YyKV5oP9OUpDt2FzqvvZ6XfUQfxzwv405XCWksvKF/zt3RmGgMAxsU2TU12fcZyT5IpJXBCutzA/QWx/o+3RcExcy8SxDEZRJdc6TQoEgpc2Wh/7/I9yNMsopGSl5WGZ9UhbTU3NF4dSKkqlSXJJqappoP1pxjwtONsPUKpqjstKyZ/8+BbXBxGvbXX58unPVr+jDuKfA6K0Gk24k3XblqBjOOyMYmZJQSGr0szhPMMQglNdj0cpzggh6NzV7NZt2GRS4jsmpVKfao23xjE/vD7GNODljRYXVpqf6vk1NTU1zyqFVFw+WDBPC9JS0gtcpkmObRq0fBvXNmm4Jp3A5uc3p1wbRAwXGW/tjPj2c0uf6drqIP6UuT6ImMYFUV7Q8hxO9wI6gcPOKGKt7ZGVkjiT3DiWB+yGHi3P5sYwwjIMTnX9R7a/cy2Tr251GUYZ/canGzNLcokQkJea64OIXCqeW/3kakBNTU3Ns04hFVJpSqkZxwWhazGKcmZJzgtrLd4418MwBEpporwgKxV5oekGNruT9D7xmMdJHcSfIoVULNIS0xD0Gi7nlhon59QX78p039mdsj8TzJISy6w8cqNMApKWb92TbX8Sa22PtXZ1QS3Sgh9tj7FNwVdPd09mzEupuDGMKKRmpenS9qsznUJqDucJw0XBPF0A98oV1tTU1PymoJTmxjAiLRT90KHlW3xwMOdonnLjaMFq06PlO3iueZJI5VLRDVz+wVc2eGtnzFrTZ5EWn+k66yD+FLFNg17osDuJMaVBdJfYwN1NZ8tND6lgKdRcWgnJpSbKYoTg15pHvHoUMY6qC+xwlnF2qbocFllJkivGUc7uNMG3TFzb4NxSg37D4a+uDgH4pCQ8P55ft+vz85qammeMtJREmWQS51w9XODYgmGUMktLTAOmaUHgWvTuSqKkUoSeiW25vLTWIi4k7eDeJmStNVmpcC3jsXSt10H8KbPZ8ZnGBVJpLh8uCI51fe+2wFtuujRc82RG3AeCtcrB7NcpZ4eeyTBKkQp858NA23AtXNsgl9V4xM9vzWgFJoezjO++vMY3zvdYZAVneg+eT4fKeW17WI1fnF9unGT5WmvSQlEq9ci2fWkhMQ1RbwZq7uHsf/l/nfx847/5e09xJTXPMlJp8lLdlxB5llmdhR/OiQuJZxqkmUYpzaWVJi+stTjdD07GgfemCYN5jmUKzvQD0kIRlhIlNYusPPk+vzaIiDNJ27cfi+tkHcQ/B4SuxTQpuMsB72S+8A4flVP9VQPaOMpJCslS6NILXF7Z7GCbAnWXFp5tGjy32uR0L+DdvdlxoLeREq4cLvBsg2lc8uZ0yNdOd2k8IBgnuay6OKVilhSYhuDaUUSclyeyhBsd7xMlYEdRzrt7M2ZpwWtbXVbbn93ZUk1NzRcLpTQ/uDZklhac6Qc0HAvHMlhreRiGoBPYfGWry1s3RuyMYpTWfOfCEr2mi23em1jcsSItpQYNvm2wPVgwjgrGccGrWx06gX3yuCivOtlnSUlaSBquSdt3PnViVgfxp8zRPONokVJKBQgGUcZmx7+nRPO4SAvJrXECVOfxGx2frm8zTQo86/6yvGMabA8jlIbdScKL6y3GcdXMce2o2k1O45y/9dzqSclIa02cS0Dzs1tjbgwivnVhiS+d6rBIS/JSUUiFZ5sU8pNVdJNCcjTP0BquD6M6iP+Gc3d2fTd1pl3zWRDlJYezDKU0P7s54ZWNahys4VrcHEb84vaU1ZbPWtvj+nDBNC64erSgGTgkhWIc5/fItY7jjLP9kMN5xtXDBdujiNC12R7GuLbBy5ttNjo+R/MUoQU/3Zlw9TgxavkO55YbXFgOP9W/oQ7iT5FCKm6PE97fn6M1tH2bM/0GoWc/csf5ozCOcgqlaHs2QoDWlfqbbRp4jkkuNbvThDiX3BzF2FZlxRdlJW9eH3F7FNNu2IyinGyaUqrKTEUqzd4s4/39Od3QRkpNqRRZqdifpQwWGdOk5C+vDmn51rH2sMELayGWabLc/DALn8Q51wcRjmWw1QtOVOWWQ5flpssiLSnKan2bnUfvyK+pqXk6SKU5nKfY5r0iKU+LUipuTxKyQiG1xrUMtroBS02H9/fmtAOLRVaSFiXDRcIf/2AbqeC51SZ/5+U1RlHBNCnIpERQiWjdKaXHeUmUSTqBw81xxDjKGUUFi6RkZxDRabhcXG1wNM/YaPsUUrM3TRhFGTfHMdOk4GtnumTFoyty3qEO4k8RU4iTcoplCDY6Hq5tPNYsfJYWJ9m31nBxJSQrFC2/euul0kilmSYFaSHZm6YYBvzi1pRCKnzLwLFNmq7F4Tyl4drEheSV9RY3RxGlVOyMIq4PFI5lkReSnXHMwTQmKxWWabAU2mSlYqtbnaFvdIJ7xGLivOTK4YKbo4SWb+HZ5kkQdyyDb13osz2KmMUlk7iSPfw0Hfk1NTVPnoNZyvDYYdG1jEfugfmsGMU5s6Q82Vh0A4c4l7y83sK3K1GseZZz9TDig8MZlw8W+I7JWsul17BZa7kUUqIRvLLRouHZJ6VvxzSwLcHtSQoKslJTSMkkLtibZRzOC5ZCl+dWW6SFRGtwTcHuOEZrWGl6KKXZ6tVB/JnCMASnugGCKjM+u9Sg6Vm/8nn34Szlg4MFLc/ilc02hiEYzFMuH8xpBzarLRfLECyUIi2qRo7l0OHdvRmOZaAUCDTXjiJGUY5jGjQ86/git+g1HNJS0vYsJknOzjgmsG1KqTi91CDNJZMk4+3bE6JccX4p4Otne5xdDllve2Rl1cz2UbU3Q1RnS64tMIS4T1JWCEHXd5kn1ax6LRdbU/P5ZJGVSKlpBzbWXdUyy3j6TamBYyFERtOzEAhsSxC4JqawWGlKorxkMM9ZZAUf7M9xLYhSCQguHy1ouDZLoUfLtSmVvufs2jIN2r7N/jRlnpec7TdYOtNhf5ry/uGcspQUZclS6FCUiqZn8uOdBbZlsshz1nyXTuCSl59OhAvqIP7UWWt7GEaVEe9NE3YncKrr0/bt+8YPFlnJOMpp+Q/WTr8xiKoz9nnGStvFNgyuHVUZcVZIbFNwc5ywSEuEgBfXWxwucvJSk5cS0wPPMfFsEwG0PZuNbnUelBQl3cBFU5Wl3t+fMY4LDmVOw2vRCxxSq7oAT3V8DhY5Ky2P335hhX7DfWD5W2vNKMoxDcGFlZCtXkDbszAfsIlpBzbPO00MQS35WlPzOWSRlVw/igBYVx4rLQ/XNrFN8UStOR9G6Fo8t9pEac00Lghc8yRh6ocOs0HBLC0opKLp2viOSVEqXMvkl7dmXFwNWW17rLe9+yqBd77LOr6DbRps9X20rr5jf3BtiEKwM0r52a0xh7MqQbJMA6UkK6HHCxtNGs6nb2qDOog/VbKyajRzTANLwPYwYpLkvLc35dJqkwsrzXs61G+NY4qyKn23Nlr3Bfle6HB7klauOQiuHi3Yn1Ue4u3AwbMtdHxHeECzSAtGUUZeSgLHohe6LDLJStOjHzpsdX1828I0DFaaLmeWGriWSVpIfrk7RelKP9g2BQaw3vFZablstD0U8NJ6i+WPUSoaLHLevj0lKSRfPd35RIe2p2HzV1NT82jIuxpV1fG4y6MYNT1JlNa8tT2mKBVLTZfnVps4lkFWKqKsrHpvlOZrZ7oopYgKWZmYBA4vrjUJXIuN1v09ObfGCYezlDevj+gFNqe6Pt3AQWpNt2FTSlDHVc7dSQZoLiw3WA49zvQD1jv+SV/Up6UO4k+RwSInziSTssCxBHmpOJzmdBsO46hgGudYAtzj2XHHNBjMUyxTMFxkgKAfOifB/OJKk7W2j9IaAfi2xYWlEMuChmNx9WjBassldC3Gcc57+3P2ZymrbZfVls+F5ZDBojoTd0yDja5H07VZZCXdwME97mD3bJOVlsd6O6AoIw7mGb/cnXJhpcnFlSavbnVO1iSVZhzneLZJ6FokuWSRlfi2wQf7cy4fLOg2bG6Pk3uCuFSam6MYqTVb3aAO4DU1n3Pagc26qs52n0Qjm9b6E8VSSqm4NlgwiQqEAfO0JM4khdSE3ofhrxvYzJKCwTxjFGX4jsVrZzo8v9YiLRSWIbi40nxoFXAU5by3O2d3EmOIgLdvT7m0GrJIqqTIsw3O9sNK0Etrug2HSytNNrr+fePDUVYS55JucP/R44Oog/hTJHQs3pvPGCwyeoHDessHDYWsAt9Pd8bEhQQNv/viKr3A4dogYj7PeW9vRrfh8MbZHhudD4Pfncxda00nsJFK0fFtrh/LqHq2wcWVJtOkqEpJGjq+w0rTPbba845lVQt+ujPh/HLIxeXwnovpznjapdUGQmgOZynTpCDOq/vv/mDtThImcYEQsBTavLUzIckUaVmyGlYiNrfHMXEmsUzBV7a6AEyTgllSEGUSUwjOLjWQSnMwS5nGObZlstpyn3qzTE3NF5k4Lylk1ekdZSUd/9ECz6dBKn0ylnqHaVxwcxzjWAYXlsOHlqFvTxK+f3nA1cMI0Gx2fM70G6y0XC6shCfJgRCCU72AH90YcTDL6DdhHBdstD1sq2p6e9C/a5ZWDcEHk5i/uHrIwTRlPM851fX4t+9F/OzmlKKUpLbFIpSVBbSV0fYtug3nvgBeSMX1QYTW1Wt7pv9wQa071EH8KdIObHoNh0lcsMgkF1YavHKqzc4oppSVCMHBLOFwlhHlJd+5uMw8KdkZJUySnHlacmGpcU8Qv4MQ1TnUOM75m+tD4rxkkUpGUc5G22ez63M0z9g8Pn/3bBOtNY5VScEOFilZrrlysKAXOPRDl51hRFIooqzqeI8yBbqyRi2k5sXVNlJVH7CjRco0LhjFOaYQhJ7FX12d887ulINZSsu1mXQ8XtpoIXV1BrU/zZCbVcNIVkguH83RCgyj6h0YRTm7k4Sf35yy2nYoZZMX1usgXlPzNEhyydXDiMv7M26MIp5bbfLSRpvzyyGjKOdontHyrU88Jvs4KiXLOUWpWWm5rLY8tofRiQBUnJakecmXjzf/H8UyBIezlNuTiElcjYh1Q4e//fzyfSJVZ/sB3YbNStPFcyxWQpfAtR/aSDtPC7YHMaVS/Gx3yjwuMYWgBN66MQYN20cxniM403dY5AU/vTmh4VpcH8SM45K//9XNX7tRtw7iT4DDeco8LVlp3p85bnZ89qYpoWPhWCYN12Kl6bI7SXluLeT2OCJwTQaLnFyWrHc8LBOGc5uWb+M5BjdHMYFj3qd+No1zfn5rys4wJiskG93qw3S0yDjTb3CmbxFlZdVRmRT8uw8OURr+w9c3eWm9zd9cHx6LraRIrfn/3jskySXTOGOaSvJSkpVlNWoh4OvnOqx3PH5yc8ytUcx7+zNcy8C1LV491SLKSiZxye40weubx92iBi3PJilKOoHNlcMFK02Hw3lGy3UoVXVer7TGNg2mScE0yRlG1XHC+eWwLrXX1DwFkkLywxsDvndliFIaA4OtYynmw3lKkkv2JgmebdL9FUdCC6koyup8PcpKCqmYJWWV5FwdkheKUVzQD102u5WEaVrIasJmkTGJcyzTwD3OorUGpObKUcQL682TI8KyVPz5B0fMUkmn4SCAVuBgfEy5Pi0kHxzMGEQ5lhD0Q5dxlKO1YrAomCU5ri1YbvlkUhFnJVmmiPOS25OUeVaw2fX59sWlD22oj6eU4rx85FHjOoh/xhRScTDNANhX6X1BfKXl8e0LS2RlpQ/+zu6Mpmfx4noT02ix2fb5f985wLEFhYTTx5nzpZVqRK2QmiQvGEU5rmUQ3vX3+6FLy7NZbrqEXjV73fQqWcE4LzmYZRxMExquzfeuDrg9TjANg7+5NuIPXt2kFdjk86wq4WclaS6ZpwV5qdmfJlhmddEprWm6FlEu+cn2hOEiZX+aEueK4aJgsyuwRCX4sNS0ETToBDb9pkMnsFkKXUwTpKxMU64dRbx/MGeWFDRck81ugGMaBE2Ls/2ASZRxc5wQZZJxlNcqbjU1T4FSKUwMmq6JUtD0Tc4vV0G87dtsDyrvhNvj5ETO9NNS9d+4RFlZTfKISgr18oHCNo1KHVJzz2jWOMqJ85Kf3powiwsMU2BbJpYp2BlF/IXWHEU5pVR87WwPgGFc9Sc5pmCQlyyFHkfzjCgrcKwHn+8PFzm/3J0xjQtO932+c7HPYJHxi9tTQNMPXTqBzXLTY6vnM5gXIKDpGiSFwrdNlIasvPeoIHStexqaP4k6iH/GWIbAsw3SQhE85I2pJEttrhzOkUoziQtWWi6WMLi42iQ7lio1hME8K5nGBYYheONsl91pytE8Y3eSoDVsdL0T79pO4PDdl1fZGcVstj2EIRguCgbznOEiR2sYRQX70xTXMMiloufanFtqMFhkWMfz26UEtOB0L2C4yJimBQfzFAPoNWwGUYnS8LNbU9baHg3H4IX1Jt1GJfKiFLiOwVbTJclLdl0bdGXsIgS0fIvl0OXmOKGQCmEIGo7FIi1xLZNSakZxTuBYJIXCNkyano1tiUoGNq124r1GLQBTU/NZo5RmuMjJSslqx+U10eVUx+fbl5bxj89419s+aa5YHDszftrJKa01s7TEtQxWWx5aa97ZnTFPS86vNFhq2ryw1uRonvHNC31O9xtkpWQcFVw+nHPlYM71ozkag15gsdHxKmGtuGCelry3NyP0LL6y1WGWlgwXGUJU38XDKONwnnK652ObDy513+nPyQuF75p0fIfn10P+1Y93KcrKe/z8Ssi5fsj55QYXl0N+sTsldKqm4K1exP4sZbPj4f6alcQ6iH/GCCG4sBySf6Qx4yGPZn+acqrn49zVRHF+OWSwqEQKrh0t2JumCAPGUYPANoizEkOAaQgWackdK/LRsfRf07NZbvnM0gJDFMdzkjm3JkklzODbbPZ8XjvbZb3t4dsW/887+0il6DUcun6VKW90fc4th/xkZ8xGN6AsFU3PIi01SS6xDcHPb01wTYsX1kNeXG9xYxijtWYSFby3vwBgteWhtOZvro/o+g7PrzVZb/s8v9ZE62qEbhrnSO1gGQY7owjPErQCB63Bdgza2sa3LCZJQcOx2JsmdRCvqfmMibKSP/3lPsMop1Sar5/rcnG5ycXV5n2PPdMPmCQFvv3gprCPY3+WMpjnCAGXVkPGUc73rgzQWrMziml6Jqe6Ac+ttfjmxSWk0lw9jLgxXHB7nHJznOBaJrO0YLUd4h97NYydjEJpOr5LN3BYZJKf3Zpw5XCBbxu8sNpkHBUEhaTtOzTcB39n789S2r7NhdUGvm1ycaVJKSvJ6VKBZ1VV2GGU862LPdY6PqttDyEEUlaa673AwTIrO1KpNPO0wHfMkxL/o1IH8SeAYQg84+PfmEIqklyy2nKxzXt9Zn3HZKtXnfesd3xmaWVrp4BJlNP0bJJCcjBLaPsObT+jH7pkZeWWk5WSSZLT9R2uHi7ICslRlIESSKVYb1cBfqXpstb2+eBgxnCeU0jFVjfgxY0mUVayN61mzk/3fZbCSn51FpdsdQPeP5hjmYJRlNNwVNV4kpRMkirrd2yDhmPR9i1mmWIWlaSlAp1zfRiz0vI4vxyiNdwcxxRS0284RJlknpXcGCZ8yXfwHYOub7Pe9rEMgWMJskKfyLTW1NR8duzPUoZxzjwrQVdHYA8L0IYhfuWNdVV9yxjHBYFjEuXVaNb2MKLjW3SCgLZvsdbymKfVaNjeLMYUAtMAKRWztCDKq/Pxc8sBr53pstR0kaXk8mFMqapG3mtHC7YHEaVWzJOC0DXpNRy+tHm/FkdaSG4MIm5PYpSGr2518WyDQsIsKY6/s0o8CwLbwrUEx6ZlJ38rk4rdSYbSGsM0ONOHm6OYeVpWwlfLDQqlaTjmI/mN10H8MVBIxd4kxTQFG8e7rU+LKQSWKSglH1teWWt5JxKG/UaVmSZ5ymbXJy8UQlQl5n7oshy6RJlkOM44mmVsH0VcPljgWgIhBIus+oCkhaTl2exOEvoNh47vsNZ2URpOH/viHs1zJnHBatvl62d6/OW1IbNZhmVW6z671GC4yJinBeOo4GtbbRzLIC8UnmXiWyZCw/ZgQcOxaQcOy02bvUlCO7CZp5UIzeXDOX99ZcjPb05wbSiU4HSvwVZPHCvVBVxYDpklJa5t4Nkmeanq5raams8YpTSlVJzpBQyjnFc2Wmx2g8e+gS6lYqXpcn0QsdSomsUWWUFWSs72Alzbou1ZpKVkexizyEqmaUFRaNqBxRtnu1w5nLM7SQlcg6NFBkKwSBVnl0JSBM1jM6jDWYJrGuzPMuI8x7eqcvdmx6f1EeGVtJD84uaEv7w6YBQV9BoWf+eVdXoNl4NZRjuw6TccSqkRAjY6Ht2Gy2rT/cjfUSyFDofzlPf2p5RSnfRKFVLxwUFVseyFDpsPmDz6KE80iAshXgH+CJDAFeCfAj8A3gVyrfV3n+R6HheVW1cVhMLjBo6slA+UTn0YhiEqc5JS0fiIRKFShjNUOQAAIABJREFUmnlWEjiVTODd7l/LTZelY8GXnWHMPCtoeTZKaSzTYDl0SXJJVkp2JglpKQGDL5/qVNl54DKMM4aTjOuDiH/7/gEvb3T42pkuoWfR8mw+OJgzTQoO5glR9qFtqVTVLONmN6Cjql2yb5loU7M7TWk3HE4v+Vw5WLA3z1kKXOJCcbiI6SYFX9pq03BMBouC3UkKTBgsMjSaWZoxHpX0Q4+0KHlutXmiZiSEOLE+HUc5WalYbrq/kmRhTU3NJzNLCv78g0O0rmShv31xCd+xiPOSeVqefB5/XfanCT/ZmZzMf8/Tku1jjQvLNHluPaQfuBRKsz1ICF0TDcfS0oqOsLk1jqtKotLEqSR0qjGxTmDj2yYCzU9ujjicpbx7e8LRIsMUEHo2SkOUFmSF4upRxFdPf1hJKJWmVFWVYJLkdBo287Rkq9egE0i2hzm90KXlW6y1A15cbxLnkp1RTF4q1o8DcsuzWG177E8TBIKbo4SvnXGPm44Fe5OqETor5CO9Zk86E39fa/0tACHE/wgsAX+qtf6HT3gdjxXPMpFKk8vKR/vq0QKtIQrlI+2k7mAf24N+lJ3jUottCZ5fbd63Mbhz+3S/ajzbnaSM4pyLyyEt38J3DAopOdP18SyDbsPhpY0Wu9OUKCu5tBzyp+8ccP0o4tYk4dYo4XCe8q0LS+xNErKyklctpaaQlUZ7KRVozUbHZ6VZ7T5Xmy6zNOfmKEEYBuO44Giesz2sLPe8DQNTVBUEAdwYxAwXOWd6AVFeUEqXJCuxDcFayyctY0LXrLTXRdW5v9XzT3atcV6eOLSVSnHqeMTkYaTH3uQN16rPz2tqPgW/uDXlYJYRZyVSVl3j623/5PO3WrqstH69KZFRlPP9ywMOZhmrLQ/ZV7yy2aKQku1hQr9hgxakUh2brFTy0l861eK9vRlxpvjJ9ohZWjCMC1ZCh37D5dxKA9+26IcOSml+vD3iysGcaVxw7WjBSrPSQncsg3laMIxyAs+mG977HRG6Fp2GSVwU+HZlY9pwLa4fRWwPI6K88qToNlw2uh65VAwWGYezjINZhmkIVloelmkcVxML/uryAN+pdNRdq6oaWAY0XJuV1qOp3j3RIK61Lu66mQEm8DtCiO8Bf6K1/udPcj2Pi05gszOqnHoOZ1k1i8i9WsKfxDQuuDZYEDgm55bunX0uZDU+UUqN0mB+TMJ5pxu0KDVZqTANQZIrbLOa1Xxho03Ls47t71z8XgBolpo2hVLEWcEoMhnMU+K8Oktfanic6gastT0WaYkhBEuhS8d3MQ3NT7Yn/Jv3DymkRmrFeughTIFjCnzbIC4lpdJMk5KNto9hwDQu6Tcc8kKy0fPoBg5/8cERcV6SFQrHNvnqVpe1tsfvvbTCNJYnnfvN/5+994yVLE3v+37vyaFO5ZtD50k9YTmc5QZSS8qiKQZLtgwYsqFv/kAZchAs+IO+GYYNQQZsyYYgGBZgW7ANSTYsCEuRIiVRJk0xLJe7Ozu7EzunmytXnRxef3ir73Tcme7pnp2eqT9w0V33Vt06davOed73ef7BMRnHObcGEaMoo+lZd6Uk9Wcp5dz68U6P471xwixRcaa+/egEkgXux8m//huf+vNc+5u/8qk85wIfouYY1GwVjNSumZSVSk28jaL6+Ne6h2GWFCwFtrKjznIGYQ4i5MW1utJuS5il892pBeu2y0rdwbV0JumQy4cTLhxOaXk2p7s+XznVxrV0AkdH13UC2+Rqb8a1fsTBOKEfKrvrspScXvIopUpUzMoSISTrD5Cu3ujHFKXA0HXWG0oRszOMCTPlt1GzDV7eqFOzFOn2YJxwOEvp+komJ6XkaJaS5hVHk5S0rLDR6U1TDENQzl/eZut+f/aH4VOfiQsh/jzwN4ALwJvAc6iC/k0hxL+SUv7gnvv/KvCrANvb25/y0X48VPM3X9MFkzQnK9Rs+rmV2sd6/M1hxB9d6hHnFZ25Fd9tIhvAZsujN0upu+Z9LeM4K7hwMMM2NU53aywF9rG9qpp3f6iftEydumPww50Rf3xlyHrD4exKjbyU5AVstDzMeaSeZ5tcPppxdqnGMEqpOSbnlmtUEgwNdkbKw/1qb8a3rg64NYgxDMF2y2Ot5dLyLV7batKbJgymKVFVcX61QVVVHE4ztuYM/NWmS5pL2p5Nu2Yx7RckZUlzbmRzdjlgGBZYhkZZSXRNWbLujWN6s5RBlOJaGrujEtvQ0DQxb82DRDHhj1//fGGkaYqDsMACCzwYSV4yTZQBk6lrBI5yXuv4Frquqc5bw5lbosq7RnyP+jzX+xH9WUrNNujWbP7syx5xVqpxXVpi6uraNoky+uEMQxO8tN44Pp8HYcbOIOLmIKHumDimxvn1BieWPPaGKUczlSOua+BZOrvDCMfUca0CxzBo+ibF/LlUG9/jyye6eLbBOMqwDJ3eLGV/EjNJFGPeNTTWWx7LgcO1XkjdMbl6OKM/S+YdVUFj7nSJgHFcMEmUnPfNmyPirCQvK2q2OSfjCZquSX+WEzjGxy7g8GMo4lLKXwN+TQjxd4BfllL+EwAhxK8DLwM/uOf+fw81R+eNN9745Mu9pwBdE2y1XRU4PysJ05KaY1BKJb3KSvWBbHn3z8irSjKcZZi6xtEsY7V+v27wTnZ6b5ayM4qxDY2THZ9vXRlwtTebz8bV19nl2l2PPdH1GEc5Hc8iKyu+c23IjX6kZFk1C982aHgmW02X17ebFKWk7hq8vTNBSmh7FqamMUmK4/HA6a7Od68PudqLGEcpdVsHASeWPBUp6pr87sUjRjMVfvKNMx2eX2nwj797kytHMwLb5OdfWmIUK7OGUZRxsuOhCTXnbnq2+jsI5vI5Za5wcxCx3nRJ8oLeLMM2db53fcRS4HA4zfiZc93j164JQV5W7Axjiqpiu+VRd4yH+iAvsMACSqN9+WhGVakF89nlGlFW0vZVQXp+Huf5JM4hJSfNOZiklIHkRNtnu6OuVwdTVZQNXePWIOL3Lx2hC8G5lTpFVWGhnr8oFSdmd5yw3nD5yRNNTi/VGEc5vWnOcJyq690kQVIyS0uSoqLlWSzXXTq+Sd0x8SyDjZaLbxtoAr57fcAoLKi7Oj/cGasFS1GRVxXLgY85l4ZttT3ibMo0LalQ48/Xtpp4ps52x2UQpsp85saIumvw3etDXEvjlY0mL661aXkm600XQ9dYrctHKuDw6RPbbCllOr85AYo7fvzTwN/5NI/nSaLpWTQ9i/1JzI1BOHcSkui6YG+UsNXyiBvOfTPyWVbg2aqF/tJ6nfWGS/CQOLqqkuwMY64chRi6+vD2ZylRVtKbZvcR4sZRzv4koawq5Wke55xZ8hVhzTVUhrgmMHXBiY6v3NCinIZrcOkwwjMNBCCpiPMCz/zw2ItK5edGWYFjajiWzssbTV7bbKqTZ5Yzi3MOpillVfETJ1pYunJbKirJKM7pzZQ8zjENzq7UcC2Dtq9MGcpK4tvqOPdGCX98ZUBvmuI7OsMwY73pqLlc3WY6JxVauqBmG5xa8uczM5P9ccL1fsggVLOuN060FwS4BRb4GEiLkkqqTt7aPLug7VtomkDjyZxDt3fOliHwLB3b0JBS4lo6y4F9TGb9g8tHXDqYkVeSEx0fTQh2RzFRVrJat/nK6Q4nuz55IWl6amOSFRUt38S3dfYmCTVbJ8thVBaYhkYhJZtNh3bg4Jk64dxIK7At3tkbU1UV1wcxhiYYhDl5UZGVFasNh71xzL9874Avbbd4cS3A3WoySXJ6Ycpa4LLWVN3Ibs1ilpS8szMGwDU1JkmJpWu8sil4dbNx18buUQs4fPo78V8UQvy1+f8vAqUQ4ruodvrvSyn/+FM+nieKoqy4NYw5GKfUHJ1emFJ31PwoL+Vxxu5t7M/d1oSAl9brHymT0jT1Qdc1gWvqWIbOZtsjcEy2O96xW9JtHE4TFW86TWh5KnD+YJrybzy/zLfMPsMoZxIXLAcOW22Pd3fH7I1T+mHGUl3Ne3Rd0PUtpmnB5aMZX3KaGLqSdrmmate7lomUFVd7M0wNSgktz+aFtXmMny4QgO8YfOPc0rEjnW+rVl0hK6SUx4Q3Ie7Wl94axMdaUdMUpEVJzTZo13ROdnxeWKtzOE1ZmRNB7rQs9GydOC8RQrXQ87JC/wjN/gILfJEhhGC96fDDWxNqtsHBJGGl7tyXzfAk4Fo6r241eWm9ziTO2R0nXOuH7AwjJIJuYLHd9uhNU6o5j+e5lQApVWcO4GiWcarr41kGN/oRYVpyrTcjTCs802CjaVDJNpcOZqzVHd4/mPLm9QGGrhPmFatzQvFGy2OW5FSywrN0etOCrKg4tx5QszJcS+fmMGJvFFGhOhbLgYNvG2y3Pf7caxskeYl3h777ai8kcA0MTaDrGpahsdW2aLomSzX7IzlOHwefNrHtm8A37/n2P/s0j+FpQUrJu3sTpnFO0zdw5rtYQwjObwQ0XIvOPYzoJC8Zxxm2qea9Hwdnl2tzG0JFNtluK5egunP/W9lwTZI8Zb3pqg/lLGUyb1+tNlykFCRFiX9H0aukBNRc/OxSDU0TvL0z4vcv9UjSkiQv+ZlzS1SVijr9qVNt/tV7B0xjNUJwTJMKiaEL3jjRYrXhkuYlZ5dr1GyDQyH4+tkuaV5xrT9lHKv59zXXouZYD7xQnF+vAyA0gWPojOOMt3ZGND2LEx0PzzY5eY+lbZKXpHlF3TX46umOClRxHp5ItMACCyhIKZnGBYamFDN3+pI/LRi6Rl5JklxJsq73Q9qerRISi4p2zWGl7vLiuiK5lZXENAR5IY8X7bahIQTkRcXNacY4Lggcgz+5OuPGMOZUx+f1U22+fm6Jf+Lb7AwifFvnVNenKEvcedBSnKsuatu38SwDTej80itr7E8Smp7FVTtEF4pjE2YF0yTnnd0xP7HVuutaCmpD0Q1sTi/ViPKS0x2fVs1CQ3BuJXgiXcGF2csTQpyXFKVq5XilQcszeXd3iqHH/JsvrtxFsLqNcZxxtRfS8ixe2/x4b6YQ4i4TAl3TH1qYluvO8Y5W1wRSwjQp0DRYDlyanknbs2jPC+fZ5YC6a5IVKtu7N02ZpDlv3RzxvesD2p7F7188wtA1nl8JmKYFcVZiCEE3cDF1wXbHYRjm1D1lVND0LIpKslSzudoPSfKSwDYZRxFJLimrCgRzxvyDFzINz+LrZ7usHs3ozzJ2RiE7gwQpZizVbL7x3PJd98+KikuHSuZ32zCh+ZgpSgss8EXD9X7E92+OmMQ5X9oyWZ2ztHuzlGJOYnsaI6mmZ/Lubs4wythsulimTtMzaLrq+nRuJTiWkeqa4LnlgKKSlPMvx9Q5t1JjFGWEeUk0jpklGTeHMXujRAWeTJqcWgr4d39ik+9eHzCOcwZhiq5p9GYxgWtw4WBGf5oS2CadumK6x3nJcuAwitRIUtMElqGxEjjcGsbYutql35v/fTsfwjV1rvUihFaxM1DW2mn+ZBZHiyL+hOAYOnXX4PSSyvf+9tUBh9MEQ1OrtTsRpqpNMwgzarZJXsq7iBpPEoMo42CsGNxbLQ/HzPFs/YEuS66lc6Ljc/Fgyu9fPOL9/cn8dVk4usEwzBiEGVIIfnBryHrTAwRrLWWBen6tzpdPdXhnd0JaVPTCjBMdHzn3Sd8bJ+RlhakLojTncJzQrtl8+WSL7Y7/UO12VSlZRllK9sYxoyjn4tEUU9M4GCf331/Kx5L5LbDAAnAwSeiHKqshcA1MXWOS5Owdqz7kJ8oIfxhMTcPUdRqOhe/o/PLLa2Rz+9SX1uv3bVY0TdCbJMrW2dA4t1zDNpSD4x9f7TGNcrbaPlH2Ifcnmack1mxF1PVsnatHOVGuLK+zouT6YcjeNKZmm7xsanywP0Mi+IXzK/MNlGR/nHJjGDKIMiXVNQ2KSpIWKn71aJrhWBqWrtN0TVqeyXUh2R2qbmjgGkySnA0++d/xsYu4EEIHVu78HVLKG5/4iJ4hhGlBf5ZRdw2ansXZZRXgIYRgq+1xsuNhGhqnu2p1dltWcL2vIvoC15hH6ylZ2dPAJC7mz10xTnIk8thx7WGIsoLLhxHDsKBmVywHDmstm1GocziNuXY0I8s9Npsurqnx5ZMtbMPgpdWAKC+5eDilqqCipCgrXNNgHOeMwowwK1iuO0ySEntOXpnGao50L2ZpwSjMOJomXO6F7AxjXEsxy7s1i5ptHj/utre7Z+msN1222i5RVj629GWBp4uF7vuziaxQEZ+BbRLYOhtNtfM17th5Py1iqIpWVhbKt1vkjvnwTiOgCMTz406LCiHgSi9EF4JxXMAgoh1YNByd1brLtV7EiY7HNFHmVJd6Uxq+gZ4IirJCSsEkz4lziW1KHFuwFrhstlySrAQElYSbg5BrvYiGZ/KVUy3qrkWnZnG9F3H5SFm+moZGWVa0azZfO93h5Y0GTc9iZxjR9Ey2Wk9mIfRYlUMI8Z8C/yVwANzuCUjg1SdyVM8Ibg1jsqLiYJLw/KpqRQshyAqV/vXVM12KUkXqRUXJ0UTF90l52/HIY2nDxvykzIYfgeW6zf44wdI/NKJJ8opT3bvbPlJKwkxprc8sBby0HpDfKFlvOfyZF5fZHyfcGiVc3DeYZQWmBn9wuc+XT7Y56fmc6vpcH0RzxmhBUcKb14Z8q+hTVpLtrscsKdhsOwyinLav2ty9eTjK9X7E86sfJiHlZcW1XsjlwxlXelNuDmIaroljuJxdrnGi5dILc1zb4HCqTFzirCTOStq+UgpoWs4H+1NsQ+P0Um3BSl9ggY+CVO6Mmy2XbmDNOTLgWarLWFTymDH+NNDwDOKspFv7eOOvlmdyMIlp+daxvWmUlggUZ8jRBe/tjJmlFS+sltQjm7ysaPkW4yhHSMFglqMJMISmLF91nVMdk+dW6/x7r28CAomgH2Z8sD/DNgXtmkl/ZjKJcwZRxrmVOromOJql9GY5OyPlMKdrmsq3yEuWAoe8lGw2XbbaHvYT4uc87vbvrwLPSyn7T+QonkEkeUmSF0wSJUuwDY0THR/f1rl0OKOslC3gJC4YRjlhVuBbSqNcdw1cU6dTe/p+33VHaSCLsuKDgylSPtjo5OLBlA8OphSl5KfPdvname5xsIhjGry23cKzVEGcxAUXDyc4ps6tYaLYoqCc1nSNlm+DhPf3Yi4fRViGxiwtWarbXDyY8cpWk7WGy0bTZX+iCvDlwylpUdLyLExdwzZUItqFgymjKMUxNDaaDm+c6nB+vU5vmnJlbrIwSwpqjkE4N2vQ5q9vFGbMkoJQSALnw9neAp8Mn5ZL2wKfLqZJzvV+iG3oDMKUrCz54GDGma7PC6v1+0hbTxqzpEBWgoZrsjNK0DWNs8u1B1pR38Yozqk7FrO4YHecgIBpnDOOc6ZxzmFeUkrIi5JLhxGvbSl/9Jav8iZkpboM06Tg3d0xkzjHsXS+drLDz76wzHOrDW70Iw6nCZcOp/MxncGZ7YCqgqysMDSNS4cTlusuS4FNUSpC7XbbYxLnND2LpUCR5J7GAuhx35WbwPhJHsizBCklV45CJSOQUpEtBORVRVF9yDTPCokmBKWUamUpleRpreE+VtLZJ8Ftv944Kx/4QTqYpIyigmGYcfFwRuAY+La63yBKmWUFhq6x1fZI8hJDB4TANjQ22x6OqdOpqajQrbaHLqA/S+jNlGRDAr1pRiUlvVnGZstDCOj6FqMoI8pKDqcpB+OE1YbL4TSZ2zoqGcdq0+X8ep21hktRStaaLhLV+l+uO8rX2LXYG8d8sD+l5Zu8szfhjy71MXTBL7+izQl9i0K+wAL3Ip0ngvXmwSGWoRGmJUWh7JJnWfFU436rSuWE742V9nut6VCUiil+bxGXUnU3nXmKYZSWVEgarsEwyumHKdd7kQprabsUZcWOgJVAOc49t1yj5Vss12zirKATWBxOEt7dGyORbLc8vnq2y0vrDQD6Ycq1/oxSgq3rPL9WY5aWXB/E7I0j6o6JZahwqj91rsOrm01KKdGFoPUpZDQ8bhG/AvyuEOI3UBpvAKSUf+uJHNUzAIlEIBTrXMDeKME1NdqexVrTIc5KAsdgdxST5AXjqMIyNXT98aJKnwR+1HzpzLLPu3sTKpTf+krdIS+UF3rbtxmGOUIIpknOOCo40fVZqytP9dttodW6Mv13TJ28rHhpo6lWuygN/Y1BjG8blFWFpkl2RwlpUWIbOi3foqwqott5veNI5RVXsLXk89Pnuuh3WKqeWVYEwjuhAgwUB+BgkrI3ivEtnaSoSIvyU5HKLPD0segEPHmIuXlLu2ZxOFEWqL5tMIoyGo6B95SlmXlVHbufAfi2Koq1B3CFbg0VuVXToFuz0XW1+746l6V1fRvb1JmmKgRqrelw8WCG0AQvrzdYb7nEecUsLdE0wasbDf7lJMHQNZq+zWbLn28WKq72Qi4eTBlEGUs1hxfX6ry4GvAHl3oUhcqkKCvJ4Til6Zvsj1NOdD6e3faTwuMW8RvzL2v+9YWCEIJTXV9F8LnKFazt2yS5JClKunPJ1s1BRFmp4I0wU+Stp92Selz4tsnXznS4chhyME443fX5yZMtQJFGoqxkOG9vz5KC797I+dJWC8vU2Wp5VJXkwsGUQZix3nQ52fU5v1anqiSepXNrGHG66/Pe/pRzKzX6s5yma2EbOt3AwtSVy9reJGEUZWwKlzhX7fXnVgPqjskozo6PN38I63y5bjMIMzzTxDUNSpnw4lqN7bb3QJnfAgssAEJAWUkGoUr5c0yDWZazWncx7hhRPS3Yhs5K3WaWFqzUnR95nbwdCDWOVGTohf0Jb94cIYHTXbVZ2W57eHbAVked96aujKmansn1fsQwylipO9iGTjRXD9Vdk+XA5sW1gJW60qjP0gJT1zm7VKPt25xZ9hFCcHqpRj9McSyd7bbL3jidR4x++kTax6ooUsr/CkAI4Uspwyd7SM8GPMs4ZpS3axZHs5S6rWbdt1Gfp21ZhkbTU85tm80fHZf544Jn6Ri6AAErDYd+mB1HC1qGxnMrARcOprR9i1uDkFlacb0fcqLjstXyyKtqLv8qGMc53cBiGGVqFmTqtH2LvJR0AkfJ1hwDx9IxNHFs8JLkJb0wZSmwWarZ7IzUzn0lUD7qy4EyuTF0cddIIMoKrvZCdE2w3nCxDZ1xlPPiWsDzqwEnuw+Xry2wwAJK3aEJdS7e7mYZmoYQgjSvKCqJNefvVFXFLC3wLOMT+6fvjGIGs4xOzVKxxh/jMRstl6NpSsMzGEcFwzjjam9GWlQ0XYNfOL9Kax5b6lkGDc9C1zTqrnKfO5iklLLCMTV8WxX3lmdxfq1BwzP58qk2Qgg8W58TkB3aNZPttn+cfLjedPm3v7RJUaqwq7JSG7jgx7BJe1x2+teA/wWoAdtCiNeAvyyl/CtP8uCeFcRZiWPo5JWK/7zdsm54Jr4d8NxyjTiv8O3PbvCGqWt0fZs9W7HLTy/5992n6Zks1RwC26KUGa6pETiqONqGTtO1SHLFzO/PMsJ5bKAfGMfdCSnV38g2NCqJYrPPQ00cU+eFlYBhlHFrFBFnJZePQqZJznbbpxtY1GydSqoZ2m2f4XGcK0lbJbneD1FsUomlawSOSfMpsmkXWODzgJpt4JgaUVbi2zq6DqebPqM4J7CNY0voJC/5o8t9JnHOySWPV9abj+X3fRvDUHXXbnfwQJ3HpZQPJbQZc8a3QChSWpwjK2XJ2q05dGoOZ5cCrvZDDE0jzctj5UteVMQN5VWxWne52gvZn8Q4ps5z8wX/7c2Zbei8MH/cw0agt6/n+tz85ceBx102/A/AnwV+DUBK+ZYQ4htP7Kg+4zicJBxOUxquyVbbO27vSMl99qlCCLVzfAbsPnuzjOW6OpGWHmB/qna/FRI5b4PbHE0T9sYxLc9E0wRLgXI4sk2daVIoe8Q7sr6lBEtXK/zBLGUUqfASx9RZCmxuDCMu7k/5w8s94ryk6Vkkmc3loylZ4bM3jtlseTS94nh+1vKs46jBwDE5nKRz84fgx3ZiLbDAswRD1zi3EnA4TTgYp5QllFJysuMzjTN+5/0DXEsHCZePphi6QB7BqY5P3X38Lle3ZnM0TY8lZXFacOFwiiY0NlruAztoR9OEH9wakZcSicTQNOq+yWrD5etnO5zq+hxNEm4NIgLHYCmoHz92vemia4LBPBzqO9cH3BiENB2TP/faxl25C/Dw4v1ZwmPv/aWUN+95geUnP5xPD1Ulf2Sc3p07vXsxiDKkhFGUs9GUrNYdBCqwPsk/9CJXko0ITQjOLH/YivmsoluzOJymNB8QmQpqxn/pIORyL6Tr2yR5yfdvDAmTAmNO6ju9VMMyNHzb4MySz3euDXnzxpDz63VqjsGbN0ZoQvDKZoM4L7neD/Esnc2WwzBMeevGiD+5NuBKL8K3NBCCS0czlgOb1bqLRL1vB9ME3zZouiaztGCt6RyzZ5ueyuj9rHY9Fljgs4q6YzKY746R8OaNIb/x1i4IaPs22x2Pbs3hWm/GyXaNm8OYl5wHXy8+CoMw5Z3dEdd6oZphmzq/+c4+lw+nPLdSJ3AM2r5FWpT0p9m8s2lQSaX8AfAtgzMrAasNlzNLPnXX5GiS8v1bY/JScqU343pfGbz83AsrGPPI56tHIWlRECYFR5OMvJB8/9aI59fqz5yfxGNLzIQQXwekEMIC/jPgvSd3WE8XeVkda7m35vKwtCjp+Eq3fTBJFEPTMe4zRQHo+DaH04SGax7H8lmGThbm7I4SFfDuWUyTQu3O57nin/Uivlx3jufgtyGlZBzn8xGBwDAEddvAszXevD5kf5oihOD1rQb7k5SaY9IPM1zL4O3dMRcPp4BgnOQYmuDGIKbpGORlST/KFKvf0AhTpbm/MQgZxSlplpPmAkON6Wm6JqMoI7BNpkmOlPDe7ph2zaY/S3FMnfPrDVxL/8xtmfqKAAAgAElEQVT/nZ9VLFjhny9MkxwJd0nHHFPnhVW1c31nd8zvvn/AD3fGGLrgK6c7rNUdJknBdtufG0jFyEri2yanHjCCuxdlJbnam9EPMy4fTvmttw+YRBmubfD9myP6s4woL7HNiJ861WGW5PzW2/uM44ymZ/FTpzqs1B2eXw3Iy4oTHY+jScL3box486b6Or1Uw5zP828MEjQBl49C6q5Bb5bTmyY4poGhaby61Th+3c+qu+PjFvH/CPgfgQ1gB/jnwH/8pA7qaSPKSqZJTl5KbCMhmRvR56Vko+ket3hnSUFRVvft6JYC+743XBOq4I3i/NiGtWbr3BqW1F2D4ClqLJ8mdscJe6OY9/YmSCT7o5hpWjJNC8ZRyjAusTTJ/sSmZhuYQklA+rOUiwdTLhzMmMQp9lxHGbgmcWbgWjo3hhHDMKPhmtwcxuiaQNcEmy0X3zSI84pSKmIdAgJHrcLf3h1zox9hGyrURQiNzZbL8ysBsCjgCyzwURjHOTfm9s+bLZV9XVUV+5OE6/2It3fGfLA35e2dEbapE7gWv/DiEj/YmfCHF4+wLQNd01itO3QCFXl8bujzykbrR5JIo6wgziqmScH3b4yYJhnDucFKnJcgBIFt8vxqjaNpwreu9PjXF48AQcdX1ta2qfHSeh0pJR/sT3nzxpB3dkbcHCYIAWlRcXa5xlLN4idPNPjnbx/gWga/d6Gvssjn15jVhstKw+aNEy3iObntWduFw+Oz03vAX3rCx/KpwdQEk1iFkHT8D4vr7bev5ZvsDGOWA/u+Ap7Ms6nv3e11akqSEOUlk1i5uO1P0mO2+rP44QBI85LdUczeOGGS5Fw7mlFJNWpQ44OCuKp4d2dCzTUoS8mf+5LL9UHEn1wZcvFgwjDJ8U2Dds3iG88t8eJqA9vUyMqKrm8RZQV1zyQrKpYCm/W6y/dvDrnWD6kkbDRVgV6q2/zehSMu7U/ZnSSs1R3SsmK17lDJ6onZGC6wwOcd5TysI8lLlutqQ/Kd60N2hglv3RyyM454Z2dCUZYEjsmffn6J6/2Yf/zdWxzOUspKst50j6+Znm2QZJL+LH1oES8rycEk5XpfkVWTXMlxa5bJ6yebrDd9PFNjpe5youNxYxCpvG1NYAgNz9KRUh4Th2dpwVu3Rry7O+HSYaicHS2DP7jUYzBL6dZsfumVVXpTpRCyTRVVutZ0+dJ265gvY9ee7evG47LTT6N24l9Feab/EfCfSymvPMFje3oQisk4TZQLmYqFU5rkqpIMwkwxIO952O3VqxBwquvfp2VseOaxIb/QlCEMcJyo9SzhcJqQl5IsV37qhgZJVjBLS6ZJxsmuzwvrdYp5oEtRguL0CWZphX+HZC0rKpIsxdDUbvpnznUZxRlRmnNjqNKC/Pno4nTXx7NNOoHFN9/c4XCSMYxyLh+FXDicMZplZFVFXpTkVclSzWa14fJTp9oLEtsCC3wMDMOMSZwxSXJ0oRGlBVUlOZykjJOMw2nC3kid/55tsNXy+NrZDt+7NmQU5SR5Qc2y6NZsiqpiKbAQQqNTsx7qUCal5PLRjL2xMmB6d29MOc+Q+OrpLr/y6hot12R3nJCVUjlbNh3ivODsUkBSVrRcE4nEn7PH+7MMfc6Z2Z8kZGWJ0DRsQ2N3nKBpGhLBL76yyjjKOTkfjapEs8/PteJx2+n/APi7wF+Y3/73gX8IfOVJHNTTRJyV7I+VoUgFym9b/zA1Jy8r8jlpIsnv5uql89tSqpaNf88IpVuzMTSBpgllxddREX5P067waWCS5Fw+DOnNEiqpFixNz+SfvrVH4OoITKoKapbBia7P+bUmgyihKOHljSavbzdxDB3T0MhLRfS7MQgJXJPBLMM0NExdY5woq9W8qHh1s8GNQcTuKOHF9WC+oIIoyxEzRapT6UOF4i4I1f14/USLl9YbbLc/eh63wAJfdKRFya1hTF5W7AxjWp5FlFnsjGImccb+JGY1cFhvutwaxLR9k58+2+XljRbfvznh9FKNNC/4yuk23brLOMzxbQvL0HjjZPuhzzuY5xgMw4woyfnhrTFhVmDNi25WVFSo7h4opcxSoMizgzBlGOeUpcP+OGW9mZDmUs3JHZ2sKDF1QSl1ujWbkx0P3zbYanssBTZNz3oq0amfFTxuERdSyv/jjtv/pxDiP3kSB/S0cThNCNOStFReu5oQx0k9oPTS602HWVrcN/cupdqlt33rodrjpvfhSvSjYvQ+q7B0jXGcUZTQcJVpv5SSpZrNlaMQTRc4lsoZ9yyDU+s+wzBjHOe0PJO8qrh5FNNyLf7Clzb59o0htmngWzot3+TWMCJOSzxTx9AAQ+MHt8Zc7c3o+DbXeyFnVmpsNB10TeA5GoNZhmMYvHa2yVJg8c6tCReOZlw6DHl9++EXjwUWWOBD6EKgaZBlagZcsxU/ZTDLyEqJaxjULUHLs/m555boBg5t38K3DV7dbGDrGqYh+KVX1mj7Nt++OqAfpqwGDnlZUUl5PGq8TYqdxAWjKOO33ztgEKaM45xZkhOmJdsdT7XLdVXMHVNTs3EJ377c55/9cJ9bw4iWazIylTHLO7sTOr7NOCrIJLywGvDu7oTAVeS7l9bqdGoW3Zpz1/X484rHLeK/I4T468A/QrXT/yLwG0KINoCUcvCEju+Jw7dVsthaw6Hpmiquzrx/vt15gE66P1MFXAjuk5/1Z+lxnvWprv9M6AsfhrSocAyN3jRlKTBZb7jsjiKKStKpmZzuNoiyiudXAiZJzrs7YxCChmtxMEk4mimyWiUlddfk5fUGLy4H/OvLR/zW23v8i3cO+IXzq5xerrHecBmEGW8eTDiaJvTDnG7NpjXLqLkWr9RdDF1griszhY5vo6Hyb21Dp+1ZJMUzpW5cYIFPFUVZzRP+BDujBIHgVMej6ZrH7mybLZdLR1McU+f51YDT3RpHs5Q4Uzv3rKyoOQaGoWRdcVZxcTbF1AXn50XzwsGUqlK/q+mZXD4KeX9vgqHD/jjhWi9kdxhSSGXEVHdNXlwNWApsVusOmiY4s+Rz4WDG73xwwLt7E3aGEaaAmqPT8S2uD2aEewWrdZXxvRzYnOjU8B0TQ8BzKzW+dqaLZWjPLA/pUfG4Rfwvzv/9y/d8/z9EFfXTj31ETxmmruFZGmFWkpfVI63UGq7JKHpwe3wYKdlTmJZ3ubY9axhHOe/uTTiaZiAER9OMP77aV4SVmolr1Y/zut/YbvL/fG+HOC+xdUU8uXKkggayvOLMsk9/mjDLSzxDYxDm7AxTDB3e2Znw/GrA86t1rvVC9scxeSFZbTqsNR2WAmduVVvynetDmq7FiY5PkleM44zttkdZSdo1i84dc41pknNjEGEbGqe6iwzxBRa41lfuh1Fe4JnzS/7c//uD/QlhWmJoGr/08hpHM0XGbXgm0zQnygre3Zvwm29PkQiWAwffEuxPYixdJysr9sYJpqFRzfOForxET+B6P+RbV3qMohzX1BnFKaM4xzJ0zix5bLVdNCG40puxvu+y0fKIsoJxnJHmFYYmWJ63wxXnRee9vQl5qRQra02HJJcwD6Nq1yx+YqulTGm+QHhcdvqpJ30gnwairOB714ccTRIGUcZK3T2O1/w42Gp7rDXul5yBMkrZHSXUbAP7GSZY5ZXyFNZ1KLOKOEMV2UmiVukrAVlVKVnYWBmu7I8T4qKkrJR72pVeqKwTS8nhNKXumPxgznQ1dYFr6SzXLXqzDFPTqDmK3HJmOeX8eoNXNpsqkKGs+F//8CrXezFLQc7ZZZUO5FsGhSFp1SyWA+dYATCOc97bVV2ByjIIn3J84gILPAu47Shp6Wp3WklJ4KhLvxDimHjr2QYn7iDrbjRddCG4NQi5OUhxDI21eWb2qa7PKMq51g9ZDmyGYUbLNylKSdM1uXI041pvxtXDGWiCAaAhcC2DrbaLYxjsDtN5PoLOwTjlta0mK4HDtX6Ia2l8abNJu2YxiXNGcYFtlGy2XPqzDMfUSfMKASwFLk1Pyc+WvoAhR49cxIUQyyhN+HnUrvtd4O9KKQ+f8LE9Em7bnf6ondfOIGaa5PTCjOO7PeJG7WEuYE3P+lzMXzq+RVlJ1hoOlqbxweGM0SwlLSs6vo0QUJVwox8dE956YUZRVugixjEEhgbjrOS9vQnrLXfurqZzcqnG2eUAU9epgLduDtGExisbdTRd4xvPL3G6WzseRVyfJGgIHFNTNqorNUxdx9I1LhxMWWu4iiAX5wyjjHf3JtQdg3Fc0F2zjlmsCyzwRcaJjscgVGYp/nyXevscO9n1ibKC9gOuXUKoAJGmZ2MME5YbDn/h9Q3a885X27cpKkmaV1iGzuY8zTCvlA48LyX9OGMcFdi62vmfWapxqusTODoXDiIkStWSlxWTqGB/MgJgu+3y8kYTx9D4B398k91RRIXkKye7/FuvrXPpYMaVoxChoa4DmrJp/SLika5yQoifRjHT/z7wv6NK4OvAt4UQf0lK+Qcf8fiXgb+Hsmi9hGq//y3gDeB7Usq/+qgvACBKC753c4iO4NWt5kNj7ExDY7PlsRI4tDxTrQpbn81UsR8XhFAtrNsubT91qs2VoxmGqdHyTRqORZiWXOvPcCyd/jRls+Vw6TCkkhWWYTGIcrq+PZ+9+YRByd4owTYFpqFRlvD+/pj+7EP95qubDZYD59iI53CScDhLWak7bLVd3jjZPg5bOZwkx8oB01AJQmFaognIC8n59Tqnlz7dTN8FFvis4s7ExXtRs437/MLv+rljcKrr0Q0s1puKHX40zTi95GPqGqe7PmFaUnMMbvSj+XVDo12zKCqpdvkCirlp02bb5atnuvRnKU3P5vXtBg3XYhil9GYxaV5Rc0ze3pnS8R1WGza+ozMIc0xDcDBNkEjePxhzOMlYbzn8/IsrxwuLLyIedavy3wP/jpTyzTu+900hxD8B/mc+WmL2gZTy6wBCiP8N+CnAl1L+KSHE/ySE+LKU8k8e8Zh469aIb18Z0vFNlurOcdv1Xqw2HHxbp+6aC2vOByDKCtK8IswKhmGOEHBmqUaSV6zWXSxD4/RSjUmcg5DsjmKEJliquaw1XLJcMstyapbBUqASzfpRhm8ZihFbVICKEV2tu4zjgqKqCJMCIQVhWtCbZfSmKTeHEb5tEOcl3ZqHqav3qygrDiYpuqbR9FR7v6gkvTBlo+mxXLdZCb54LbVnBZ+Gdeudz3Htb/7KU3++Zx1VpZwmPet+NU1vlgLKWnoUZoRJxVLdZpYUtHwLQ9doeNoxE32WFlztJZzo+Dy37HOi7XFrGFNUFQ3Xom6buKaOZQiWA58THRUg9ff/8CrX+xFpXnJuOaDhWbx1c8iFQ3WOV1VFP8o52fUQqASyMC2pO+ajNlM/d3jUIl6/p4ADIKX8vhAi+KgHSynzO26mwM8Dvz2//dso85hHLuJXejMmcU6cFSpH9gGYJjmXDmdUEl5aW8xJ70WSl3z76oA4K6k5Ok1XtcquHs24cDDFNjReP9FC1wQt36IfprQ8a57xrVjoeSm5eDDl5fUmmpDcGEQMwhzfMhBCYOqCopK8slHHtXRGUYZr6cezLH2edlZJSW+WceFwSsM2qdkmu6OYpUB520sqbg4SVudOU6au8cKqsmF8llUBCyzw48DOKGYUqUX7C6sBuibYGcXsDhOiPCdwDPKyInAMhlFBVqid950QQiUY7k1iwrRgbxQzSQtWGy4tzwQheGmtTs026E0TLhzMONNVmd1ZUTGOcg6nKZauAqZGSc5608GzPRxT52efW8bQNNaaKgTp7HKNtq8Cl1pf4F04PHoRF0KIlpRyeM8328DHYnMJIf488DeAC8AeMJn/aIyasz8ylgOHqgLb0B442wEYRhnX+xFSQt0xOLfykWuOLxTirGQYqjWW7+g0PYMwK9kfJQDUXfMul6PAMeceyDmeZZAWFSfaHm3fopKS790Y0p/llFLS9pTO9N3dMU3PpqxUQMzZlTp5WfLlUy26gUPDNanZBrqAnWGMa+rkZYWmQWceVSiEoGabrDZUBOGbN4akRcX59fonikRc4MeHRbDKjxd3xidXEmZxzs4wZneUYGgwTZJ5exxOL/nHrfSirJCoRXRWVMzSAllJVhoOR9OUeO7wqAvBdtujU7NZbtjsDhU36Xs3B+RFnbpncWbJxzF1ZklBw7Xoehauo0JJnl8N7sueeHFNhbQskgofvYj/beBfCCH+C+B78+/9JPDfzn/2kZBS/hrwa0KIvwMUwO2w1zowuvf+QohfBX4VYHt7+4G/82fOdPm/vnODYZjz9s6YVzabwIesTHPuyOaaOkLwubLce1KouyZbbZdZWrDR8BjPDRpujSImcUHTM+9i3a/UVdE9mqpMcClBaILVhsPOKMbSBIfTmIZrcqrr0Qkc4qxSxDgk220P39bp+DYnOz47o5hBmLHRdDnR9bk5jJkkOUu+TeCaJHnJLC2wDY1JnDOY5QSOzs4oQRMCwZSvnun8GP+CCyzwbGJjzvj2bB3L0Kikjm1ozNKcoqzwLIP1hkvNUS5opq4RZyWXj2ZEWYFj6hyMY24OExxDsNn2eWG1zvt7E1abDmlecna5xnbbQ9MEb98asTOKCRyTd/amvHGyybnVgPMbTeK8YH+s4pC/crpz7MNeVvIu0vKieH+IRyriUsq/J4TYBf5r7man/zdSyn/6UY8XQthSynR+czJ//J8B/m9Ua/3vP+g5UWQ43njjjQe6kO+OQv7f9w/Jy4ooL3hls0mUFVw8UHGjz60GtH2b17aaZEXFauOLPTO9neAW2Pqxf7GuCV7fbpFXqrW1N0m42Y9wDZ2lJWVz+u7emM2mixAarqXT9i3Wm8qM5U7r2rpjcGMYMUtLNE1wpRdycing62c7jOOclcCh7hoYukAXgmGUHSfHXeuHGJrghdU6u8OIt/cmVBVsdzzKChxDY5YVdGsm3ZpNb5aRl5K6u2CiL7DA48DUNVYbaizWm6XKnTGwaboGWSmpO8rV7XYBV8TTlLwouXQwQwI/3BmhI+jWbX5x7uZ2ou3y/sGUo6nSnr95Y8gPdkZcPgyZJAUnWy6WrhPnFW9st5hmBUdTeP2Eh2/pBI4KoupNMwxd0PIsuoH1zCZCPi088pVPSvnrwK8/5vP9ohDir83/fxG1w/7bQoh/Dbwlpfz24/zS/XHKJCmI0pKdoVojjKKca72QopLoOryy3qSSkqKq7rJZ/aIhygqu9SLyUhHYmq5inXZqNpomsDUdyDmaJvTClKIC19DoBja7o4j/LysxTJ2fPddFF3UannmfL3HNNnhprUFvqghoK/NF03JgsxzYCCEYxznjSLlF1V2JEMqTfhLn2IbOMIwJs5y9Ucw0LnFswWrD5ltXRozCnK2Oy/Nrdf70C0tEWfmFZqcusMCTwNE05WCScmuoQp4+OAgxNHBtndWGx9E0ZRLnXDickmYVkyRnFOV4lqb02nWbjZYycBnMMhqexbnlAFvX+O339pnGJVeOIsKkxNIFQtMJPAND15hmBUUJjmGQZCU3+hHv7E6YJgWeZVBWFZttjzArOL9eX3Bf7sCnun2RUn4T+OY9334sWdmdOLdaZ61uE2Ulz68GSCnx5nrIG4OQNC+4tD/DtXTWmy66JjjR+WIGZtwef+VlRVmqG1FWcmcj2ppzC64ehbiWzqkln1lSUlQwjAoMo2R/nHJu+cHPcWsYEaY5qw2Hn9hq8uJqgzgrudKbqRPYFB86RwGOqVFUyvHJt3V2RmpmVqGMIzYaLmc6NeK0YBwVuJZylLotm/Htxcp8gQU+MYSyjz6azt0ZTY3AMfFsdS291g8xhMa1XkTHV9nbL67VqWTF+fUGnm3Q8S1+78IRN/sR602X9abLH1zu8YNbU1brNqc7PllVYuoaXd/hdLfGZtMhsA2u9SNGUcYsK+hPM8KsxLd0fFun6Zl4lo6pa4sCfg8+Fz3Iumvyc88v890bA46mKZcPZ5xZrlF3DbKi4jvXh6w2lNNQ3bPYaH0uXvZjwdAETc9kuW6RFZKiksd5wrfR9FTL6sW1OuMoZ63h0lozWanbvL8/wdQ0nlsJaHgPLp4XD2b83sUeeVHR9m3OrdaZJQVVBb0wnZPXNDZbqhWf5BVRqvgLpay4sDdD0ySvbDbZbvnH0bG9WcbJrkcl4Uubraf+t1pggc8jwlR1wO710/BMHWMuIw1sg1c3muRlha6pHG7f0gmzkudWaniWTmAbBK5F0zNpexaaJnjzxpAf3hrx7t6UtabD2W6No0lKJUsmSc43nusihMaVI9WGz8qKbs0hrySTJGeSFkyinEmSk+QVL6wGbLU9Xt1sMkuLY7OaBT7E56KaWbpaMaa5ZC+N+Y0f7vJXfvYsK3WX1bpDkpe4psZ6w+HVjc8/iznJVWiBqQuQME0LVhsOgWPw1s0RmhBstb1jItvhJKXhmXdZlK40HGXmsKRxbrmGpgk6NZvAMbANnXMrD9biZ0VFWlTEeUmclgzCDIGg4ZmM41zJxISSljQ9EyEEuqb04mleEeXKAGYYZeRFxU+cbh0TWmqOwUrDVlGkC0/0BRZ4ZIwjlS0AcKLr3XXOx3nJdK4Xb3gmaVFRlBWzVPFOlgKb7bbLS+v1h55/hqYcFqWUVJWkKEsCV6eb2aw3PUzd4GTXYxwVGLrAMXUCx+D9/SlpUTGYZui64GTHJ84rfMtgu62SzhoPSY78ouNRHdv+2o/6uZTyb32yw3k8aJrg3HKNP7qs8/buhGGU8Y+8m/wHX9kmrypOL9VoeibnVoJnNpjkUdCbpw/NKkmcl9Rsg/4sI84KLh9OuTVMOLXk8WdeXGV/nFBWyqjh5Y3G8e/YaLrULAPP0o8T23rTDE1o5KUkzEqSvGQ0N3PRNSUb0wR0aiYrNYeqJtlqewjBvPArWd+9em5L19CFQKJiDNeaDlsdlxfWAvbGMc15ZGLgmAtSywILfAJkc8UOKOfDUagW1q6l0w8z1houRVVRVBVJXvHb7+4zTgocQ+MXX16DQBwX8KqS9MMMS9doeCZVpQimvm2yUncASZgpkxdZSRxbx5oXaN8yeGdvTGBr/NGVPk3Poqok5zfqNFxDhakI2G77D0yUXOBDPOpO/L8Dvg/8Jsqs5TOzHUryilLCOC6oKsl3b/T5yZMtnluuYRn6F2rnFtgqbc02NWqOQZKXtOee6HkpycqSpKgYhBm2qRGl5X2hLYfThINxim1qnF1SO/GaYzCOlf2hrQuuHiVUUvLe3pSTHSULW2866ELjxY06WVGx0XSx7pCD5GXF7ihGE4KNpoumCSoJ4ySnN1Uyl6+eblOzTT7Ynx4vMM6vN+59mQsssMAj4nY2QlFWDKKMmIqsrDi7XCNwTPIio+6qcVqUxuSVxLd04lxFmfr2h5ug3XHMxYMZpq7x2maDvUnClcMQQxdstFwEkgsHUwxDwxCCmmNRSMWBkczb+pXahG00lceE9v+z9yYxlmXpfd/v3Hl484s5IiPnmqvHag7dpmyRkiiZtiUIEGUbnrQQvfFGC8mSvTCglbiSAUuAQcMwYMjgwjREWyZsWbZJinSLza7uZlexq7umnDNjfvOd7z3Hi/syKiMzsiqzOjMyI+v8di/iDfe+uHG/c77h/xcGrmVhGII40xbDj8LjBvGvAf8u8CvA94DfBP4fpZ59u/cgzrFNkzgpGMxSfNtke5ziWOZDZVhfVOp0VEDgWEd8zyupeHmlSTDXS+6HDi3fJs7LB7SVZ3Of4ayo/8k9ox4pa3kWhhAYRv0PPU3rOlVaVOxHGc5c+OFsLwQULy03jxzDIMqZJJ/U5HqhU/uENxzyUtINHAxRr/YdS5Dk6sgiQKPRfH4MQ9ALHeK8ZJIWVHORLKizb0tNF8sQCFH3zjQ8k59szTi/GPDq6tGF9P70k9HQ0dw+1HdMTGFwphtwexgziQsG8zLaZl/y8e6E304LFlsugWPV+hTdgG7oUEqJZRjklcRStenRNCt5SP+sZs7jzon/CfVO/O8KIb4J/HvAfyOE+M/nIi7PjOWWxyDKyOaiAOOkxLEMrBdsB35Xo9ixjMPAmxYVeSVpuhZ7s4ydcYYQcGmpgWd8snI2DcHPnO/zxkaFb3+SnTguRb3U8rg9jPHto3rK94osnF8IySuJUs15cC7YmaRcWgpZmFuEGvd9/75TC+4AhxaiAJcWmzTdWhXu7vGc64eHHaqaZ4NWU3uxKCvJR7sz4qwkryQvrzQPBVXgqBBW3RPT5MLig+qWWVnR8S2kkjQ9m8Wmh2nk+I7B6+stBlGGIQRv3xjS8mw8q17oD6OCvWnOuSzgzfUuZ3o+m70AyzTwbZNhnNMPA+KiJMrKeVpe82l8rsY2IcQi8FXgTeAW8ExtSAEGUcZKy0UAVaVYbbq4Vr2qk1JiGC/Gbm57krI/zQ+DtCEEH+3OUAoWmndT5pJhnNMNHdY7R2e4DUN8qmvRXRzToJIcKrfda7NaVpKiqhcT5uGOvJgvmmrP4od9RsuzeWm5+YBynmM96OtumQZt/8X4u2k0zwOVqlPp3785RKm6me2XXl1GSsXeLJv7c7vHjnFJqdidZuxNa+2G26OIXujS8uvs2dr8XqOU4p2bQ0ZxxuWFBqWSZGXF7jTlYJqz0qpNTF5fb7LQ+CRId0OH7nxB0Ub3vjwqj9vY9jeAvw54wG8Bv/qsfcShvmgmScnutNbqFgimWcH72xNC10EpeHnlxdBKv6tzrBSHojV3ixlFqVjteNwcxFhmLbiw2HBxrMcPhElRHX7WLCsPg3hWVny0O2NvkuFY86mAsq5dDeKcCwsN/M/w8f48x6N5uugd9xcD1zJZ6/q4Nww8xyQrZa3UFmXsTmqhLNs0DoPpvezNZ8jfvjZiGOdIpRCGwco9Yk/DKOO3vnuT3/1gl6JSfHWzw8Vugx/eGpMVJQsNl4WmzVc3uwyj4kgQ13w+Hncn/isJe1wAACAASURBVN8D7wI3gF8G/sK9Kzal1L/z5A7t0fne9SHfuXrAzYMppVTISnJzlPIHH+3ztc0ur6oXI4ADrLQ8LMPAvSedvtbxSEvJYsPFNmvP9FFcYBjweasJLc+iE9jzOc5PukPTQiJlnZqPi4qmd1dTXXBxscGFxfCh3sV5WdfXHyUToNFong4LDZe/9OYqt0Yxm92wdhi8J1NpmcffNExRL+hNoxZlMueaE7Yp+Mn2hP1pxr/40Q5vXx8yiFNc22JpmHBpqcFG12N7lPLyaoszXZ+mZz9UZ0LzeDzu3fTPPpWj+ClQSvH2tSGzrCTOJZ3QIkpyml4t9FKW8oVqbLPmOsf30m+4jJOCOC9xrDqF3vJsXNv43EYBYj5Lfj93g3vDs2h6JoFj4ZhGLcTgWg81l7lbi6ukot9wDlNvGo3m6aKUYhQX2NYn/gZLLY+l1tFUtmUK8rKezT6OvFIIYL0bENgGW5OMju/w4W7Ecsvlyl7E9iTBMsEUgm5g0Ws43BokdEOHnznf52w/pBc6eNaD/TKaz8fjNrb9/tM6kM+LEIKNjsd3rx7Q9G1WOh6hbXIQFTiWSb/pvvCON5O04MZBLeBQB0n3qa1yxXw0bJqV+LZ5mBrvPMQC9i6lVIfp+ayUn/pczenn3vT8tX/wK8/wSDS7009S5ReXHsyUyfkY58EsIynqfppLS80HnjOMchzLIM5hZ5rXWhRpSb9Rz4jblsG5fsByyyN0DVq+i2PWXeadoO5G3+g+uDHQ/HQ8bk38LwMbSql/PH/8HWBx/uu/o5T6rSd8fI/Ea+st/sV720yzgm7g8JfeWOHaQYJliS9EzUXNY+IsLflgZ8ZGXh27i35S3BzW9qSWKXj5vhGyh+HZtYhLklcsNrV4g0ZzUkhVL6C3xglS1WOm906c3B4ljOKC64OIjU5AkkukVEf+r28NE7KyNj0xTVFbDwOWCW+st7m6H9HybNa7PgsNj7fO9TAMQV5VDGY5eam4/AJlRJ8nHjed/neo58Tv4gLfAELgf6BudjtxZmnBIC7YnjdbLbU81roBo7jk/MKLb3TSDmzWpMeVvQjXNhjFBYvN6qmp0931aa+kQiqF8YiaPwtaeelzcXdX+9PsaJ/Ee2hOJ8tNj2lS0vbt2mEsyo+Us+7+H1uGoJSSjV74wMI8ryS2adAPXTqBxTQe8f/dGLIzSbAtk6Zr0/ZtruxN6YXw8d6MP/PSIkIIzvXvPyLNk+Rxg7ijlLp5z+M/VEodAAdCiGcWLT3HIstLirJ25tqd5vz515YpKvWF6YTuN1wUsDVK8R3zAQW2J8lGN2B/ltF07Re+VKHRnHYMQ3BuIaSa78hb92mQr3V8hnFO23dwLfPYmvhG12d/VvuCJ0XF9iShqCpuDlJu7Ef8m19awzQgzlsUlaLp29pt7IR43CB+xDpKKfWf3fNwkWeElJJCSgyh8G2Ds/0AIWrFry8SCw330E3oaeLZpq5tvQB8EcbKdG2+xrEMXpmP2d4NrlFWcnMY41omi02XYVTMf3/M602DJK/4YGdKlJaYpoElDDzHoBfWuudnegGrHZ80L2n5zgMeCZqnw+MG8e8IIf6mUuq/u/eHQoj/FPjjJ3dYj87uJOUPPtwnyhW2bRK41he66/GLfO4ajebh3B9QB1FOUSqKsmSz5x82qh5Xhvvx9oSf3JlyfRCx2HRYbHj8hTf8OoAr+MHNIXFecWmxQV5Jdib1hNC5L0A581nzuEH8bwG/LYT494Hvz3/2dera+F95kgf2qLy3NebOIAXq+WXPtsgK3f2s0TwvnMSO/4uQVXjStHz7UMI5dK1PLY0JQKIopAJV241eXGoQOhZ5JfnutQFVpfj2x/vkpcR3Ld5c16ZFJ8HjjpjtAt8UQvwi8Pr8x7+jlPp/n/iRPQJSKrJCYZgCgaAf1NaZnqPrtBqNRvNptH2b1lrrkVLeF5caCMQ8dQ5pUXJtP+LNjQ5RVBJnFYaoRaAGUYGMcl7S3egnwueSzpoH7WcSuO/FMASLTQdVKaSCUVowiusUkUaj0WgeTllJbo8SBLV16HF2zeO4YHea0vJtWoFNUpQoBR/vpQyigkoqpmltZdwJbEBxdT9mrePR8LQy40lwqreslVQkRcX1YURSVCilsC3B9jghzstnfXgajUbzXJGVFWlRex18uDPjx1tTticJwzg/9vk705S0kNwcxOxNUmzTpBPYdAKXcO6aGDgGB1FtRXoQFSy33cNGN83T51Qvla7szbi2H2FS6/2Gjsn5hfDQk1qjOa3oGq/mSTOKc67sRViGYK3rM0kLkrziQCneWD9eU6LhWmRFTsu3UUqRl/X4WC902JqkdD2Ls70A1zbpBg4/ujNmIfRo+zZVdcIn+AXl1AbxqpLcGkbsjDN24xzfFtimoB84bPaCpyZ0otFoNKeNrVHC21cH/OmdMa5l8tXNDlFe17EvLTUealq01vFZaLjYc1OUUirKSlGUkp1xwo39koZn89a5HlFestlbYXeaETgWLf/UhpdTxan9lj/anfHurTHv3BmhpGJnkuMYgv/xj25we5zxN//MBdr+p+t5azTPE3r3rXkUikpy/SCiknC2/9kblit7M7790QGDKGNvlhK6Nj+8NWKl5SGMzx5LdSwDpRRZKRnHOTeHCX/w4Q6//8E+lmnS8B3eOt9jdW5J2g21MuNJcqJBXAjxs8A/BCrgbaXU3xJCjIEfzJ/yV5VSg0d5r/0owxAGjmmwP8vIiopIKkzTYD9KuXEQ8+aGDuIajebFYpIUJHk9RjuKC1baDw/iNw4ivn9tgGXUzmK9wCUtK7Kq4sO9GSstn1lafOZnXjuIGccFH+5OuD1M+N6NCUoJHENQlhLbEA/orWtOhpPeiV8HflEplQoh/ichxJvAu0qpf+Nx3iQtKqKs4MbBjL1JSl5IskKhACVLFkOP9c6Lb3yi0Wi+WFRScTDL2RrHLDa9T01ZX9uf8dt/cpthVNBtOHxptU1aVeyOM5RQFGXFq8vNz3QghFrdTSnF9YOI64OYOMuJ8oqllsPF5QbfvTpkue1xaamBaYh5tiBGKqXLm0+ZE+1OV0ptK6XS+cOSekf+qhDiD4QQ/0A8okZfnJW8c3PMtYOYvVlGkpeUgGGAEAZvne0S5VrwRaPRnH6UUhzMMnYmad3MexDRC10Wm+4Dtey8lLy3NeYPP9jjn/3wDu/cGjNOCs50fQqpKCqFMKDpWigM4rJ6JGOija7PfpTiWgZJXjLNKlqehZKKOJOUc6vSq/szoqxkmpYkeUVWSEbxZ+/0NZ+fZ1ITF0J8CVhQSr0nhLgMDIH/Fvi3gf/tvuf+GvBrAJubmwCMkvpiuTGMmSU5kvpELAP6LW+u23uCJ6TRaDRPgesHEVvjlGlSUlQVs6zEs032phkvrTQfeP7OJOGD7RkHs5z9Wcpiw8UyBBd6AT/amjHNStqeRcN1cG2TlbZ37Hz4vSiliPIKhcC2TC4vNckKySytaPgWaV6y0nbZnWYkueTmMOb8QohlCqRSNPW8+FPlxL9dIUQP+EfArwLcrYELIX4b+Cr3BXGl1G8AvwHw1ltvKQCpYJIWpFlZe2kLaHomvYbL3/jmOda6Pv1Q18M1Gs3ppZKK7UnK9YMZP7gx4mwvRCm4tBLy8nKL0LHYnaZ4tknLu+tMJhjFOULAatsnKxXd0GFaVEySnF7D5UzX59Jyg0lS0vTsz0x1D+Ocd26NqKTiXC9gNHdB2x0nrPdCzvYbXFpqYhoGeVlblrqWyaurLW2CcgKcdGObBfwT4G8rpbbn9qWpUqoCvgW8+yjv49oGjmmSlJKigtCGzX7IV850eOvcAsstXQ/XvHhoR64vFgK4NYj5P9/dppCKcVxyfiHgg62IbuAwinKGcR2YX1puUlaSO6OEC4sBQhicXwjZn+Vsj1IsYXBusdbQ2OyHLLd8lluPdhyztGQcFdiWwfpCyGLTY2+ac3nFZaHh8I3zXUxDsNb2kNSz5YfnoAP4U+ekd+J/DfgG8OvzP+7fA/6xECICrgD/1aO8SduzGSY5ZQUSyEqI84I319tsdP3PfL1Go9E870ilyEuJEAJTKBzboJCSnWnCT7YsRnPZ08WWy51xzNYoI3RMGp7F+QWf1ZaHa5ksNOry4stOk5ZvY3+K0cldorTgX364TyUlDc/CMQVpWdFv2JQSzvR8Atvi/GJIy7P5cHdGXkq6oU37Pr9yzdPlRIO4Uuo3gd+878dfe9z3ySvFhX7I+1sTkgIsC8ZpyQ9ujvnyZpfLyw/WijSak+J53jHrWfTTQyUVjmWw2HDwHZNffGWR2+OccZyDqgPm9jhjf5YxS0uKStJ0Tc70Ai4vNTBNg8Xmo81sj5OCcZyTVxLXMnnn1pB3bk6QKDq+RTd0SYuKQVRyth/wi68uk+YVvdChmi82gENJV83JcSo7DgLbpB+6rLZ9pmlBVEjKUvLhzoSs1BeRRqM5/exOMzzH4ktnupzp+nWNmQkLoUPTs9iZZBRS4VkG07Tk3ELI5aUGF5can2orej9FNddGn6YMopzQtQ+NTywBK00Xw4DQtUjyCsMQtDz7njo8rHY8pmnJ0iMuGjRPjlMZxH3H5NW1NrfGCdcPYoxJQioVeSXZ7GkTeo1GczopK8koKWi4FrZpsBA6GCiW2x6TtKAXuoyTglIq1rs+vmNiCMGFRYu3znYxHyN438UQAiEgLSSDqCDKSsZJziTJaXg2i02P9Z6PVHBhITw2Xb7QcB9pVE3z5DmVQVwIgWUaFIXENASObdFyTF5eaZKXFaBrMhqN5vRxc5gwS0sMA15ZaWGZ0J7a5KViXBRYhsH2OGaa1vPd5xYCQODZxucK4FB7gF9cbGAbdfq9qCq+/dEBtlUvJDzH4KtnugihG9WeR05lEAcoqgqJwDUNzvZCAtfg8nKTnh4t02g0pxQ5F7hQCm6PEsZxwa1hzHrHJ3AsGq7JIHYxjZJOYHOmG+DY9UjXI3+GVIySAtcyCOed5K5VB3DPNgkck51Jyu40o+FavL7a1nKqzzGnNoineUVWVjQ9m7MLPme6IReXQurBDI1Gozl9nOkGDOOchmvxzu0Rg1nONCtoZTavr7WwTINxUmIKwdl+QOcRNi1KKQZxTtO1cCyTrUnKYFbPkl9aCvFsi+1xys4ko1KSzV7Alze69BsegWOyrn3Bn2tOZRBPi5J3bo8ZJzmOafLxbsW7tya8tNzk65s9Qk+n0zUazenDsQyWWx7DKENViu1xSi90CR2Lj/dmCARrXY831tufqbQGdQD/Zz+8w61hwnLL4xdfXUJKRaUUtwYxWVmx3vZ5f2fC7jQjzSVSgmcbuKaJKQxmWXlk9lvzfHEq/zJlpQ41eStV4BgCb54CGqelDuIajebUsj/LuLo3473tKYYBhoB3b48YRPlcL91kpfVoehhRXrE9SYmzivfujDm/ELLe9Wl5Fv3QZZaWfH8yIisqQscCVeHZJmUl8Z06Ra+0hvVzzakM4g3P5o2NFrdGMZZpkJcVAri81NA1cY1Gc6qZpiVCCJqexUrbo+M73BzEtV55VtL9lHuclIq0rPAsE8MQ+LbJ66stfnRnwtm+j20aKAXn+vUUz7WDiH7oMMtKFhouLb9OuS82HMZJiW0KmnpT9FxzKoM4wL/15XXSQrI1SVkKHVbaPq+vt7XlneaZoEVUNE+KxaZLXlQst1z6octmz8ezTZq+xeWlxrGy0tvjlFlWkM6NSkLX5MJibQv6rcuL/PzFBfajrFZ4a7oYhuDCYoO1js/OpNZfv/99F5v6XnoaOLVB3LNNXlpuYRoG47ggcCw9/qDRaE49DdfCdyz6oYcQELo2L684vHyMaxnUKmk3DmLujBP2Zylf2+wR50efYxiCpeaDwd+zTc72tbbGaebUBvHhrBb//3B3iqEEB1HKt9oLz/qwNC8gT1pGVe/aNZ9FKWsZUynrsTPzIVM3UiquHcz4eG9KJcE0DA6ijK+f7T3e51WSvVmGa5m6JHnKOJVBPC8l46RgOEvZGcUIBKtdn+1xSifQF6BGozndrHd9DmY54Vy5TUpFWlQoIHBM4rxuQLs5iHnn5oS8kuxOUwLHYhwX7EwSOr79yPPdW+OUUVwAdWd64JzK0PCF5FT+pQwBs7zk997f4yfbE4QBS02XYZR/9os1mkfktO+YT/vxP02eJ5OaSirujBIMQ7Da8jAMgWuZrHXqDvRhlPNHVw44mGW8tlrPiivgg50Jkzjj/Z2YUkku9ENMYVBJRVlBpRTGI+pm3HU2E4JHGl3TPD+cyiBumQaOCdcGEbOsQim4M0pQ6FEIjUZzelBK8cH2hI92IzzbxBSw0j46PnZ9EHMQ5dwYxIyTkl5osTVJ+OMrI0Dh2QavrrZZ7/osNj26gcNy23sky9G7LLdcfMfEtR5P/U3z7DmVQRygqBSVVFSy1mgTAoZRQVpUukNdcyI8Lzvd52lX+TzzvPy9oHYOuzNKuDWspVWv7kcstVxmWfnAczueTcM1ycqKpCh4+9qUaVrf60wBncChFzh869IiLd/+XPc/IYT2AT+lnNogLqXENk0ss8AyodNwMQS16LBGo9E8x+xMUt7bmrAzTrEMwVLbYaPt0Q+POoFtj1OmWclGN6Dp2fzeT3a5MYzxTMHFxYDFpseb6x0a3tysRG9gvnCc2iB+EOUIFChouTaLDYeGbzOIC9Z0U4bmBedhu8rnabepeZCsrNidpLx3Z8KVnRm9hk0ncGh4FqFrH6qkAYyTgh/eHFIpWO/4rLXrkTMB2JbJL726zF98Y40/vTNGSsWtYULoWjjW53Mz05xOTm20+2g3opRgmAYNz6YZONimoS9gjUbz3HJlL+K7Vwf8ZHvCNC1YzXy+Hro0XQfTEMyy8nA3PYpz+g2X/VlO27foBi4vrzTJSslCw+GN9Q6GIegGDqO4wDTEsU1pSinSQuJaBnFREWUl3cDR98oXhFMbxKdJSV5UOKagE9i8vtzg5ZUmXT1ipvkp0DtZzf08yZ4DpWCS5tweJbimSdM1CV0LwwDfMY7UpS1TsD/L6DdcNnshhiH4ymaHwLZYaLmsz7vXN7o+naCuhR8XxK8dxMzSEtc2yEuJUhBlJRcWGz/VuWieD05tEG8HNv2WQ5xWvLTcYKUTMk1KHcQ1Gs1zSyewCR2LV1aauJbJ6+sdzi2ELDRckrzCvEd1Msoq1ju1Daicj4stNr15M69gnJb0Qmeus360KU1KxY1BTF5JZlmBbZgkeYVlCpRCq1u+QJzaIP6ljTbvbU2YpRUIg51xytIxmsIazbPk7i5Od42/GPy0u3LTEJxbCGl6Np3Q5o31Nt3A4f3tKUrBLCs5M/fvDl2LrMjxHeNwh+2YBmI++22bDw/Es7xkmtad7p5l4jsW3fluPcpK3Yn+AnFqg/gvXF7ix1sTvnPlAMsQtVBCWwdxjUbz/JIUFbeHCWkpWWv77IwzTEMcDtXIe6Zr1js+/dCpA/d859wJHCyzlnAJP8Xj27dNbEtQVor1TkA7+CRo6w72F4sTDeJCiJ8F/iFQAW8rpf6WEOJvA38ZuA78J0qp4lHeyzIFgWvh2ibXDyLeOtvl1jBhreNrxSHNc4eutWsA3t+aMIgKCil5b2tM4FqstJfZ7AXERW0Hei+ebTKKcw6inH7o1J3snxK872KbBi8vN5FKK7C96Jx0e+J14BeVUr8ALAkhfgH4s0qpfw14B/grj/pGQgimScGNg5jtccb3bozYGaeM7rfv0Wg0mmdMWUnirGSWlUhqHfTvXRvyrz4+4Nsf7dHyLVbb/rEqa7eGCXFWcWuYPNZnCnF8t7rmxeJEg7hSalsplc4flsCXgN+bP/6/gZ971Pe6fhBxZ5QihGCcFvzprTFX9mdH5iw1Go3mWTOIcv709oT/671tslLi2wa9wCaVFQdRzs1BQlkdFamapgUf7U65fhCRl5Kykp+aPtd8cXkmV4UQ4kvAAjCiTq0DjIHuo77H7jQFUZuhKKnw7Vr4X7vvaDSa54lZWrIzSbk1TIiyisWmzXLHZ5gUDGYF613/AZuSnUlGlFX84MY+vdBho+tzrh88k+PXPN+ceMQTQvSAfwT8KvB1YH3+qxZ1UL//+b8G/BrA5ubm4c+TrKTt100fhlCM4uLQ9UejeVro2vYXgyfxd5ZSMctLmp6FacC5ns8fXxtSVhW2MHlrs+7j8WyLQZwfma5RSnFzEDFNS5qezTQt9ViY5lhONJ0uhLCAfwL8baXUNvBd4F+f//rPAX90/2uUUr+hlHpLKfXW4uIiAEleEeUVhawYpwWuZZJJyc4k5uPd6QmdjUajeRE493d/56kszm4MYr790T6//8EencCmlIqslGxPMvZmGVuTlKZnkxbyiANjWUmyUrLc8jjb91loOFxaaj7x49O8GJz0TvyvAd8Afn2+qvx7wL8UQvwhcAP4rx/lTWoBgwqB4EzHZ5KWGIZglkmuDWIuLDb0qlWj0TxT4rxkHJcMo4z9aZ1ODxwDqaDfdDi/EGIZBt3QYbn1SRbREAJDCDzb4s2NLqttT4+FaR7KiQZxpdRvAr9534//FfDrj/M+rmWQVRJTCJbaLkttj17oUlSSlZanA7hGo3nqfJbwS9u3GSc506xgnBQkRUXDs/ilV5ZqkZfQObZZzTAEl5YaJEVF07UwdIe55lM4lV1geSU51wu4NYgZRiWObfLKssPPXVrg9bX2sz48jUajYXucYggYxzm704z1TsCFxQa//MbKZ240HEubOWkejVMZxFuezZleQOhaNDwLzzY5t9TQAVyj0XxunnRdvBPY5JXCd2zO9k3OLTR5fb2tM4WaJ8qpDOIAZ/shv/KlFb5zxcG3Tb5xtqf/OTQazXPDuYUGv3C54vY4wTFNLi82WGi6n/1CjeYxOLVBHODCQpPNblg3gui6kUajeY4wDcGbGx1eWW0dq8Sm0TwJTnUQB7D0P4dGo3mO0QFc8zQRSqnPftaT+jAh1oD/HXgNaAAO8D8DIbVi268qpbKHvX5hYUGdO3fuBI5U80Xh2rVr6GtK8yTR15TmSfO9731PKaWOXQ2e9E58APwS8E/nj/8i8B2l1N8XQvyX88f/68NefO7cOd5+++2nf5SaLwxvvfWWvqY0TxR9TWmeNEKI7z/sdyc9J54C6T0NaB9TS68CdICDkzyeLwJlJbl2EFNKydleeOIGMeOk4M4owbdNzvYD3XyoeWySvOL6IMIyDM71gyMlNKUU1w9i4rxivevT9u1PeSeN5sXjWRdrPgR+VgjxI+At4NvP+HheOGZZSZJXFKVi8AxsWvemGdOkZJwUpIU88c/XnF4qqYiykv0ooygVSV4xy8ojz0kLyTQtqaTiYPbQSpxG88LyrIP4fwz8c6XU68DvAP/B/U8QQvyaEOJtIcTbe3t7J36Ap53QtXAsAyE4sktJ8oppWjzVz85Lyf4s5c44YRjnuFq8QvMYXNmbcWUvYpoUCFEH9ftxLQPfMRECuoHzwO8rWXt3azQvKs+6O11Q18kB9oEH1FqUUr8B/AbAW2+9dXJdeC8Itmnw8spR84Q4L/l4NwJgteOx0Hhys6tpUbEzSQ93UTeHMctNl8Wmp8cANY+MUrVZCIAQgs2ez/X9mJuDBIGgHdQL0rsSpUqpw1LNKM4ZxQW2JTiY5QgESy2X5XtcwjSaF4UTDeJCCBv4P4AvA/8c+C+Avy+E+A+BAvjrJ3k8XzSUUlw7iNmdpsgKGp5FVlSM4wLPMXCtn75evjNJmSQlgyjHMqEoFbuTnM1+4wmcwU+HUopJUj6xc9U8PYQQLDQc9mcZG92AvPykFFPIB8sy9/Za3BomDKOc26OYcVLSDW2mWaCDuOaF5KQb2wpqy9F7+eWTPIYvMrdHCT+4MaTr27QCm37DISskN6IY0xC8vNLE/Cl3y65psD1OyCvJctPFNgX9hoOa1ywbnvXMAujtUcIwKjAMeHm5qTUGnmPSvOTKXoRhCK7sRUglCR2Llu/QOyZtfi95Kflgd0qclRzMcmZZyWY3pJLqp76+NTWfZf6iOTmedTpd85QZxTk3hzEo2J6k7E4zBlHOX3htmbWOz8d7M6CuHe7PMkxD0A+dz99FLgTjpK61T9KKhdDl9qj+3DPdgG7o8Opq60md3mNRVHU1RkqolNIX/3PMjWHMn9wckVcVjmGw2gloBxbf7AeUUmEoxSDK8R2TpvdJr8ftYcL3rg+I85JpWtIObALHwjSEDuCaFxJ9H3uBGccFv//BHrdHCWstl0lakuYl/aZLMLdAXO/4HEQ5VaW4PUyI8pKLiyFrneBzfaZpCBzLoJJQSglKIagb6d7bHnNxsckrK83PvUhIiwqpFIHz+JfuWsdjf5YTOqZOpz+HVFIxinOUgjiTNF2buKj7OuK8ZBhnVJViteNTKcXV3RmTtODNjQ5fOdNBCMEwzhBCoBD0AwfXNXlpuclqx2OWlTSOsf7UaE4z+op+TpBScXMYU0rFRtc/NsgopUgLiWsZn9kkVknFe1sT3t+ekOQVO+OUM90A1zE4e0+N0bNN1js+47jgnVsjikphm+JzB/HFpsvPXOizO0k5mGXcGdW7eyEMFj2XhmNRyvozHpdpUnDtIOL2KGGWlVxYCPnqZpfJfISt36jNcO7/HstKMohyPKc+V83zgZSKD3am3BjErHV8bFPwwfaM26MY2zRwbMGb621eWm7y3vaELJfMsoo0L7l+EPPhXsTtYcTOJEMqhWMa/OjOhKZrsdJ06TdcLNPAsQSjuGAYFbrBTfPCoYP4c8IkLZgk9QzswSxn7Zhgc2MQM0lKfMfk0tKnN4rFeUlalJjCQKqKs72ApmcjlUXLt2ndJ4rRDmyW2y5FqWj7n15z/CxWWh6GgGlSEjgWi02HhYZLUSlC1/xcWtKjOOe9OxMG84alJJccTDPOL4TcHqUoBWlZsdR0H/ge74xSxvMxpZeW3iqalQAAIABJREFUm9qn+Tnh9ig5XDgWUmIAf3prxEf7MzZ7AV/Z7HJhsclC0+M1Ibg1SHDtnIWGi2kaHMQ51/YVRSm5sjsDIdidZCy3Xb52tsskKykrxULDYW9aayRkWqtA84Khg/hzgu+YGAYoVc92H0ec1/OuaVEdGak5jsCx8B2L80shRVkxS0uirOTr5zq8ttrGPCaQvrneYZwUT0T1qh+6pL0K3zHY6AYsNl2UAiE49tjv1uTzUrLS9o4E+igr+PbH+6AgcE26gc2t4YTQNflge0ondMnLOkPh2Z98jw2v/h4V6vAztWDc80ElFXuzlLyUXNmPeNls0vUt4qKoyx22QTewCd06I7XQcOkFzmEGyp+ktDybzV5AP7SxTMH2OMM0wBSCduCw2vFJ8gp7nrnKCql34ZoXDh3EnzFKKYZxgWkIXllpoZQ60jWdlxLLqK1W1zo+gyin49vHBvCiklw/iJAKNnsBP3Ouxwc7U67uRxRVHfzvjDJW2gWLx/gaJ3nJ3jQlzkt6oftTB/O4qLBNk2oeQNOi4sp+3Uh3YaGB75iM4pyr+xGzrCDOJGsdHyFgo/tJOv9Ht6dM4pJhnPOtS33eWG8xTksMBJO04EtnOpRSEToWxn3fY5SVTJKCKC95VVtCPjcIwLMszi02UIBjmny4OyMtFErB1zY6/Oz5PkKIw67ye0tItwYxwzgnLyW3Rynd0GWt7TNKc6Ks4OrelFJCKRWebXJ5uYHb1H0QmhcPHcSfMXuzjJ1xLRd5biE40mm7P8u4PUzIq4pXV1q0ffswsOalRKr6BnWXSVKQ5HW6cJwUND2LtKzIqzpVWY/o2NxbTh8nBTcHMVJKvnN1wM4kpenZfPPiAq+utT5XI1CUFfzp7Qlb45S1jkeS18e4PVduG0UFgyjn8lLInVF9jllVzXdK7gP9AK5t4NgGC00XxzK4PUzpBQ7v3BrRDW3ujFMuLn5SXqi7kOuTnKYlIGi4NscIfmmeEULA+YWQ9dKnKCukhHejnKSor+vrg5jfeXeLpaZL4Jq8vtrGvedabwc2hhAkeYVlwQ9vjnhltcG//GAPpeB33r3DhX6Ts/2AlY7P3jTlzY3OExU20mieB3QQf9aoeVdukpEUdffsejeg7dvM0pLrBxF3hgk3BzHfONdjoeEhBHy0O0Mp6IcOaVkRuhaVlNwYRISuxcWlsE6/K9jo+Ky2PULPRilFZz5nmxYVwyhDKRhExeFc7e1RQsev58gbi48n0qKU4ifbU+6MUg5mKVFW0g0cJmnBMC7Ymtev277Nu7cmxEU9QjSIS9baAS3ffiBL8NJyk3Gcc30Y8+7tCcZ8M73Y9JBSUFYPj86dwGaaFhiGoOXpy/15QErFh7tTrh/ELDZdXlltsTNJubzUwLESoqwgcG2SvOLjvYiWZ2Mg+Mpml7SocC2Dlmez0Xb58daY3WmBQpGXtXBRKRX7sxzXstiaJnzlTJezKuTHWxO+vtklLiqkVDQ8C8c0iIuKcD6GptGcNvRd7RnTDWze351yMMv50XiCUnBpuUHLs5FS8t6dMaOk4M6kFlC5uNBkpe1RSYUhBNcHEQ3XJsrq0avNXohC4VkmStW7+UrB2YUQ0xBcP4jZmWTYpiDKKhQKyzDY6PlAbTJRKUlWVtwYxJzth491cxNC4FkmtikQQnC2H5AWkllaUEnF5aUGeSnJpaQTOPSMun6/3vMRiCNNZ0opKqmQStENXW4MaiWu5ZbLS6tN1rs+vm1yfiF86PHUqdTmQ3+vOXnySs6bDXPiomKjG/D6WhvTEJzrN+kEFlFesTtJ2Z4khK6HaQi+f2PAjf2YYn7tf7gzYZIUDGY5gWvRb7i0PIekrNibppRS0fItoqxilOS4tskfXR1gItidplgGmKbBuYWQwLE+s1lUo3ke0UH8GSKl4v2dGXeGCZOkYHeS0Qosru9H2JbJ7WFMVkpuDRKWmi5pXpGVFTcH9c/X2j4b3YBRXOBYBi3PYn+W0/ZtDEOQl5LlVt3lXlSSrJRICVuThFGSs9r2CRyLV1aaGIYgdCwk8MH2jIZbK6uNk4Je+GC3epTV0qqmUdcs+w3ncHb70nKD5ZZb7/TjEs82GMYFSVHh2TbfON+jkoqtcYoQsNb2GScFWSkPd+FKKT7em5HkkqWWQ9u3ObcQIJVioeHyykpL25qeUtKiYpLm/HhryoWFBrOs7tF4ZaVVL/DmimvtwKHXcPEsg/WOz+++v8vVvYhxWnCuV6fIB1FtrLPR9emHLt+40McyYJKU/HhrxMGsJHBNNvshSw2XvShjkpZc2Z9xe5hQKcWffXmR19Y6z/pr0Wg+FzqIP0OKSnJlb0ZWSiZprfF8e5jQDW02uiGWaWCZggtLDc71fC4u1rKoO+OUfujQCSyW2z69oGCcFgzinNA1WG3Xgbvt2wyjnGsHEZWUrHd9FIq4KGn7Fu/cHHF5ucEo8emFDr5jstjwCDfr1GLgWAS2wSjOsU2D0LWI85Kr+xHX9mNW2i63hwnnFxrEeXVotOJa5mET0Xq3NrL4cGdGN3BoeBZKwdWDiK1RfR6GgF7o0r1nsZBX8rC+P00rLi012OwHpEWFYxo6gJ9iRnGBYxoEtoljG4flENs0sE2Dj/dGjKOCYZLz+lqb0DW5OtcHGMYZw7hgZ5RQKYnvWDRdk5dWG3x9s8N622eh6XBrmDCIchwroxu4fG2jTVIpOr7N1YMIqRRFpWj6FmWl2Owf1UW463x2b8+JRvM8ooP4M6RSqlaiijIC22QUZ6Rlxd5UsdEJ+POvLuHZJoMop990eXmpyf/yg5t8vBthCEHTtxnFOYO4YG+aUcm7SmaCC4sNDEPQazhE89G0vFK8sdZGAD+4MQLqAPn+9oTFhkvoWZxbCHAsA8swENSNd7uTuvHu0lKDSVIi52psV/YiinmD3cPEW4QQeLbJcttlFBWMk5wPdyuuH8REWcXV/YhXV5tMkpJX7pFjdS2zPvasZKn1SY1c31RPP3JuRGMYAscQD8zt780yruzP6AQ2Ky2vXvANY8Zx3RB5Z5ziWiaGUJiGAULxwZ0pSSZp+RO+eXGBq/sR/YaDVIovb7bJ5pakTdeiF7p869Ii7WBMy7X4c68tH2ngjLJ6oarmUx53HdOOo6wkUV4ROqbW4tc8E3QQf4YM4wJTCD7cmeFaBqWS5IXEdAWLTY/1XnC4qwYYRBmTpKRS9cjN1f16R2EIgVIgUbiWcaSG3XAtfMeklJJe4KAAYdQz1JVU5JUEJfhoLyLO6tTjm+tt1ucjXvd6OEul6AQ246TAsw2KsmK149ELnWPFae5lqenx0e6MnXHdwNeZd9k3HJPdScbBLGe55R3Zja93fEZxzk+7585LSSnl55Jq1TwZ1FzrvJQK3zG5uNTAdUw2Ov6RjvEkr7i2N+PafkQ3dPjd93frUlBR4dkGvcBlmlU4piBwTEZJybWDBGTCKC1Y74Sc7cc4lmBnnNENbfYmtdCLbdYL05W2R6/h8KWNNo5pYN+3iMhKiZpf9mlZ0ebhQfzaQUSSSzzb0L0XmmeCvqs9Q0LHrOdgVX3jsE3BW+d6hG59k1u85+Z2d+751dUWvm1RVJJZWtENLUoJX95o0QkdBOKIGptlGocNO7Os5MdbE24cJKy0PJZaLl/e6HB7lHAQZ6SlxDBq1atJWgCC9Y5f66HP0+kAL68066akTDJNSxab7iM3v5VSMohzzvYD1to+3cDhj68NsAzB/iw7EsR3p+nh+N2FxfChIjjHMU3rGnzDtbiyV++qnrR3uubR2ZtmvH19yO405eXlJq+ttnl5uYlnmwyTHKkUzfn0hGvW/xdxVrA/TVlpByw3Xc4tNNgaxby61iJ0TUZxwR9+dEBVKTzLwDIEZ3o+AsVC02ep9YnZzd2rs+Fah30XUtZ9F2khWW67LDVrIZiOb5PMO9jvXi93yzj3yx3nZR3t80orwWmeDTqIP0M6gcMvvbpMJSUf7UWc7YesdTx+/kIf/55d451RzA9vjumHNmttn37oUEhFnFVsjxOWWz7d+2rKUN+kRvNdc+BYzNISpWC57dLybM70Ajzb5KUli9WWz9WD+oZmGIKiVAhRy8HeK7xyl8Wmh2UYh4paB7OMtm9/akrxKxsdRlHOQuDimCamYeDZ9fNnWUlx3yC3uudhpep06CDKaXrWkXn6+8nKimv7MUopDAF3b+F365yak0cq2BonTOOS61bMVzc7eLbFzUHMMMoZxgUXlgI2OgFfO9clk5KGYzKMCiZpzisrPUpZK7dZpmAc5wzjkleWQhyznoJ4ZbXF+YUG6x2P9nyMcnea4VkG3cChkPKIBkFeSYZxjjmXdA0di9CtBYPuauzHeb3wlUrR8R0uLTWO9GOc7QcM4/xwbFNzujmNFqs6iJ8ANw5iJmnBatujf99OsBs6/NWvn+H97SlKQTe0jwRwgD++OuDGQcIfzTIuLoV0AoczvQDXNji/2MAQgigvHwjid8a1f7YQcGkppBvaXDuImCQFyy3vsL5sGIJ2YPOVoEsla4nSK/sRRSWPvTkppTjb82thFtPg/Z3ZfNa9OCK6cv9rikpxphcymM+mL7drKda1jo9SPDDHvdhwEQIsw6DpWny4MyUr67TspXnN/2E66FLV5hqjOGe96/Paavtwp6U5eVqehWMJSllrF/xke8Zy06GoKiZprca3OzHxzHokUAjBnVHCei+k4Vgst716wiGvuDNK+M7HBwzijMWmy1/56jobvYDz/RDDEEf6Ju41vHENE6VqeV+B4MrejPe2JlRS8fJKk6v7EZeWGkdef20/ZmuU1sJKVl2Csu7p/whd67EyRBrNk0ZffU+ZopKH/toHUf5AEJ9lJY5p8Ppai7ySx7qXNT0bw6jHYaZpyWCW49kmKy0P1zZwLfNYGdW7O9lZVvLenSmBa+LZBqHjM4oLNroPHu9dtbOXjqnvZWXFNCnZmaYkeTV3QPOQ8w9S6kHRlWqessxLyUrLwzIF/YbLZj84PNdzCyFpUdG7b8FgGIKlplfbmG5NuDNM6IUuCHhva0ycV7y21j4yAjeK611dw7WI8pIor7gzTPi5C31tfPIMmWUlUgkkgrys2Juk/PHVA7q+zXrXZ6XtcTDLibKKtY7P5aUGa22f7Ulal2CinIZnIaViZ5Iyzct5JshmrRPQ8uxDe937ibISyxS4lsnV/Ygf3hxTVBLTFLR9h7yscCwDpY5mfwAsU9ANbHanKYYBSVHR1A1smucIHcSfMrZp0PZtJumD89Y7k5TdSYZhwOWl5kM9rn/+Yp+VlsfWOOG9rQlZJYmyEiHq+nfLsw9fq+adv65tsNr2cC2DgwjKCoqy7l7PS0laVPzgxhAh6tThcYuAe8nKih/dnrA1rtOOH+1NkaoeH/vqRpeNns/qMc1tSVHLqQ7jnCgr+dJGCykFvvPJuTZc61PlXadpgZSw2PJozhv1vn99SFEp3t+e8vMX+4fPvTVMUAoMo14cvL81odtw6y5mzTPDEpDlFS3PwjQNRkntF7A1zuiEDkpVvHt7RFpKXltpsRA6WIbAtQQ3dhKuH8SYQnBmIeDyUgMh6t39ejegE9gPNTbZn2VsjWo9gjNdn492Z0zTAt8x8UyBZRq8ud6i5df/Q/del2lR0Q1sxnFOy3f4aHeGlI/fn6HRPE30lXgC3D+Depe7toh3R7Ycjg80gWPx+nobxzK4OUgQCiwTGp7J/jRnf5of3li2xikHsxwh4PJyg4WGy0GUc2cUs9H1ubjYIC1K/ujqgNGsnsW91fb41sWFB9Lx9zKJC24MYopKcmeccG0vIp034y03PbKqQgg42z+aTg/sWr1tkhQsNT3+5OaYhmvjOwaXlj67m1fNO/EtA3zLZLMfYAgxl5lVD6TgfcckzioCx+Lnzjc42wvxbOOJOLNpPj/t0OWN9TaTtOSl5Qa+bfDda0M8q2Cx4fHR3hQhBLcPEopCUknJrVHKJC5QSMZJiW+bdEKLja7Pr3xpjdan9EUoVU9exFlJlNev/XBnyt4s5fpBxEvLDda7TWxLcH6x8UBjZllJPt6rg3ZSSEwhUNSOePKYjJNG86zQQfwZstyua76ebT7S+FPomriWQX8hpBc6bI9TkrxWObsrmHF3JEypenEQlbWn8lLT5eYg4dYowTEFVaXYmab4tkFVqVrj/JggXknFhztTBlHG9iShHzi4loltCPaTHMMw+N2f7OJaBk3f4T/6+TOsd0Ncyzx0nrq41KBSCilhnNbNZUkuP9NOFeDmIGF/lrE7zdjs+ZSVwncMfv5i/1jb1PP9kKysR36EEJ8qyao5OUxD8LMX+uSl5P3tCe/cilloOHzjXI+0rIjzknGUk1cVlVL88NYYQR04haiFhxqexUrL55WV1qd+1vY44Q8/2ifNS7J5o2bgmriWycc7Eb2GQ1pJRkmtbiiVwqQ2U7k9inEtk4Zr8sObIwwheG2txWLTpShrGddPa6rUaE4aHcSfIa5lcqZ3/C79fspKcmuQUqm6JmgasNjwiPOCj/dypJK86rRZadd1Z2+eGiwrgTtXXYuyWmBjphRn+wHfvNinqCSWaTx0F35lb8Z3rg64PYrpBy6BazGIIu6MU2ZZyWo7IK8qikohpeKDnRlpUTuPXZ538tqmweWlJnklkSrgYC4Ne1wAH8U5W+OUhmtxpheQzW/wSV6Rl4rJ3VSobR4r/GIYR1P1mueHpKi4th/x460pjlWn1EPPoogkTdfhtfUWkrp+3vJsznT9/5+9N4u17EzP855/zdOe9xnqDDWSRbI4NLubLcmyItlqxTIQJEpsXxgRkiBArCSIAwQGggDORQBHNw4CBIgUBFGuMhmxAduxYUQWYrVsjd1SjySbLA41nnnY85qnPxf/rsMqVpE1sLpYRe7nqvaus/dZZ5911rf+/3u/98XQBc8tN8jKmrKWdxgC3YuiqvnB1pirRxHbw4hhVODbBrap8fpmmxrJUqBGIusatPn5CWoM7miacxSmgLoRjueBK7f7NSxY8DSxKOLPCLomiIsSzzLIyhpd6ByFGXFeoWsa145j1touSw3njguOJgRLgU3PNzF1weEs44XlBmstF9dWK2opVRDExzkOMy7vzxjMlJrXs3XO9HzqWjJJSg5nGS1X50yvSZJXrDRdzvUDqlrFov54d4qhq9WwbegnwrJP2wY9DjPKSnL9ODqZ9ZZSstF1cKzFtvizyiwteHt7yjDKSIsKQ4cz3YCqkjQcg/WOyzDKWGs4vDWbYvmCb5zr8tqG8jQfRDmaEJ/a8gFI8woNgWdrarTMt5BS4po6R7OMza7HpbUGzFtXjdvaMQ3HYJTkCFRhd8yawDEW3gILnmoWRfxzpKhqxnMl9f1Wj0IIXltv8cFhiGdprLYcfFsnKyo+PI6wdO2ubb60qHhze0xVQcM1+OrpDob+kaNbVlZc3g+p5yvzW6+va8k7exO2RwnLDYswc1hp2Gx0PDa6Hmtth6ysifKStm9zpuex0Q1ouyb2/GJpFYK8khSlUtTbwYOtjlUsaqYEcZOaspSsd9z72l8ueLq5vK9aMleOQs4t+Ty/3EACl/enjOKcF1aaLDcs3t2b0nAMJIKma5zs1jxIId0axvxoa8TV44i2Z/I3fuECB5OUQZRzOMsIsxJTE8RZzasbDZKiumOEsuNbfO1Mm4NJpoq3b2EZ2l0jnwsWPE080bNTCLEG/DPgEhBIKUshxL8P/AeADvyqlHLnSR7T58mNQUySV2gavLTavMsN6uN0A5uf8i2KSkWGqjARyam2S8MxsD6mbt8eqTnxpKhwLQ8hxB0CnjirTnroYVbScEy2hjFv70zYnyTYhs4gTKnRsOZjbJNYqYqzskJK1bOOs5KvluBbBl893abrq7Gd4XxG/dNW3rczinLSoqblmjimTi0hESX6Yov8mSac59RnVc162+VsL6DlmuxOUt7cmjBNC2opqSpYmue/v7LeYK39YK2mW0zTgt1xysE0Y5IUbA9i0lLy1dMtfuZ8nytHM+K8QghBmJf39A1YbbqsNJxFwM6CZ4YnfYs5BL4J/GMAIcQ68AtSym8+4eN4ZhFCYBnK5KSqJe/sTUnyiudXGnQ+lu5l6RpLDZswLTnb8++ak266Jn6sLC87nqUc3uICUxfcGCR0fYuGo9PydH64Nebd/QkaAsc0mCQFB9OMoqrIihLJkBdWmvxwazyPIM052/O5tNa64/t+kn0lwC3Nr65pnO278zhUDU2I+97gLHh6kVJyquWQlhWbbZelpoOhCW4MIg6mMaWEK4cq5e7DowjL0EgLSVHe2zcB1HmUFRW2qQSUWVHhmTqepXFzGHE8S0myitW2S03Nc8uNeatHYuoa1qfMet+rgM/SYr7F/tEo56LQL3gaeKJFXEqZAultJ/8vA7oQ4neBd4D/Qkr5zHljpkXF9ihG1zROd70Tn/P7cbrrMU5yGrb5SEVqFOVcOYyoasn+JOXCcsBm1zvpG290XFqeiWt+1I+O85LDaUbDMegFNuc/5rDWDSzSouTVjRYNW8cyBJcPQm4OYo7mJi9rbYezfY+lwOLqccjuOOXKUYxn6jQdg8v7M2ZpxdEsQxOCF0418CyD3XHC9jAhLkpeXW/R9iwEnPzst8/R3yvDfMGzScMxOdvzKeqanm8hhOBPrhzzD7+3xXv7M2xd47XNNuttn9W2g2votByTOK8YxgV7kwRL17iwHJAWFe/sqt56VkjWOw5VLfnwMKQf2GhCwzUMLE1nJkvCTDklvrzWQtMEcV5SSz7Vl+Dj3D5rfmEp4DjMGMcqA321tXABXPD58nk3e1YAS0r5TSHE3wV+BfhHt3+BEOLXgF8DOH369JM/wgdgGOXz7Ouay3tTagkNR+dsXxXItKjIq5qGbdy5Uja0z2QFahqChmOovO+549T0trErTRN3CcF2RglpUXMcZkyTgq5v39FrXm+7WLpge5Rw9TjmwpLPpdUWN44ijmYpZa3669O0ZHeScDhJGWcFXc9mGBVsdFwOphmjOMIxVTxjUUpyrebmMOYHN0YUVY0A2p7yWj/fD062yxfF+4tJyzNJi5LtYcL+NOZfvnfA9aOIUVzScHSmaUkta5Z8mzhX6Xg7o4Q/vT6glrDWcpkmBdujhK1hzDTNaToWNwYRSVEyjgs8S6ftWfi2TlFLLq42+OmzHf7yK2vKN117sFHOj5OXys9BSsirinGsHBhHcb4o4gs+dz7vIj4B/tX8398C3vj4F0gpfwv4LYA33njjqXRZaDgGw7l6Ni1L9scZWal8xz3L4MPDECmh37Ae66hKy7V4bbNFXtQchRmjOGejc+/3v+WHfmMQY5saaVFh6prKQrYbGLrG9eOQUVxgGep5iWQYZ0gEs7xkqeUwS0pajkle1tSAruu4Zk3DUhasgWOy1LKppMSzdcIs5/pxDUJwcxDx5s4Ye74rsNn1MHRB17dwrcUIzxeZg0nCn1wdcP04Yn+Scn0QA9DzTXq+RcszifISzzRwLJ33D2bsTROuHIaAsk71LF1Fh+oq0Oc4SnEMA1MTDMOc3DVwTYPlprL11TXBWidglJSEecgLK41HyvxenrsZVrUkzlUkalHJhWr9GeFZDDV5GD7vIv7HwN+Y//t14NrneCyPTMMxeelUEwHsjhN2xyndwGRrmND2TKpaZX7fMmS5RVVLBlGGa+qPbCCxFNiU8/CRjmcxivN7juFkZU2cVSw3bIQQ+G2dKKuUIYsQxGnBWzsTygpsQ1O54XFOmFWc73uc7QckaTGfUddIipq1lotnKRON9ZbL6Z7P1ihhMM3QhUBH8MF+hGfrlFVNXFQYmqDpWHR8C8fUycuag6napq+lujC2PUuNIWnikS66Cz5/krzENnQ0TbA3Tvjddw+4Noi4chASF8oyeLPn8bXTHZKipukaZJVkEqvUsp5vsnUcE1gGeVUzS3LiXKPlmHxlo8kkLtifZUyTkvWOg2Fo6EJgmRqrDfW461l4ljp/lCui5BNa7J+KoWustV0+PJgxjmuEgJdONR84fnfBgp8kT1qdbgK/DXwF+B3gbwOJEOJfAsfA//Akj+dxEucls7SkF1i8stY68QoHte3dcq2TO/pb7I4TxnFxYpH6SSKeT+I4zLgxiBhHOXklldGLdu+bAcfUaXvm3KDFoemYhLkaufnwKCTKSrJCWZy2PYO9ccqNYcxq0ybObH7qbIf9SYKua0RZxfMrAeeXfKZJzv4ko5aSG4OYdH9GXlfkRc1y0+FwmrHWVnavWam8s6ta+cHvjFPe2Zuga1BUknP9gLxMqWrJ7jhFn0dCvrs/5TjM2Oy6vLDSvKfJy4Knh8t7U97amVDVkp853+U4zMlKSV1Jlps2VW1hGIJTLZcwU+Ej47jk4nLA1iimTiU3hilpWWMZGnlZEaYl07Rko+3hWgZrHYc13WOtLfnmiyuEecn145C8kvR8G9fUSYqKaZLzvetDlhs2Z/veA507h7OUYZTT8+2TTIHtUcyVowhdF6y1XBble8HTwpMWthXAL33s6e88yWP4SVDVqoDJeWby6a7PUsPiymGElJKu57DacsjKiqKqTxyibkc8wmVhHBeEack4KVmfj5l90nY6cJc7XNNRwSxZUWNoGhdXfALHxLd1bg5iTF0jzWv6DYcLywENx2SpYXMwzbl0qslm1+PDoxlbo4T9Scbrm02uHpfIWpAUyu+6H9iYuuD1022qWjJJCvqBjW8bHMwSsqJiZ5Sy2XPRBOgavLs35WCa4poGR7OEDw5CJknJNClwDIMXVu/vub7g8+PmMObNrTGTVPmWv7LW4uySx9meSy2V0nsQ5irdT1aMk4LNjsM0LcirmsA2KesczxBIJHklkUDTNTB0QS1ho+2y0fVo2MqboOmZrLVdokzZDJuG4OpRxCDKsQydsoatUcKlU/ff8Tqcqqjcg2nKUsNGSjW1sdJ0iPOSC8v+l3an9b6DAAAgAElEQVRa4vat6QVPB5/3dvoXAoFyRpumBUezlKNZzlLDIiuVP/hFN+BwlvLe/oyGbfDiKbWaXGu7uJZ+h3r8Yej7Fpf3p4yTnOWmMmN52ItLMPekTouS1aZPx7eI85LNnsckVVv0l9aaNByTrmcRzsMkTF1T0aNSUFfgWhpXjxPWWg5bo5iGbdByTcqqxtR1jsOcc33/xFxjexTzo5sTDqcZHV+9t2Vq6JqGoWu8tz+j65tK8CaUqrjrW3dkOS94Oun6yps8zUsmcYFtCJ5bbiOBhm3wr94/Ipkn2/mWgakLNE2jksrDP8srdicp148jxlHGqY7Lasvj55/vU1aStbbLese/Z0/69nSx55YDWq7Bm9sTgLt2wj6Jlmsyjgt8W+e9/RlFVeOaGrkmWWs//I7ZggU/SRZF/DGgQj58jmYZB7OUDw5mfPtqphzMDB1D08iKikFUMEkKzvR8nPl866OKY5K8opSS9bZawRZVjfGQBTzJ1Vbm2Z7Hh4ch26OErKxZbTm8vtnh5bUWTeej8TdNE3cYtwgheG1DtQ5uDCJarkk/sDnb80mKmoZjcDhNmWUFNwYR5/o+ZaU8sJO8ouVZjOIC29Apqpr39mdUVc27+1M+OJix2fU43fX4xpke1vneianNLaRUo0XDKOfiSuO+lpwLngy9wOLSaoODWcaFZZ+Wa3EwzahqydjS6QUWVS2pZI1j6vR9lbR3eW/K1jDBNjVGUcY4zoiKmqNpzvlewKVTTU61XLJSnesfn9XOyookr07O0Wla0HBM/vLLq8C9rYXvxWZXbdPHecn1YyXAswyd9bbFe/shk6TgwlLwpV2NL3i6WBTxx4Rt6Gx0PK4fR9wcxCAlwyinG9ikRUVaVliGIHCMz+z/nRYVHx7O2J9k7E3VRWaz4zGeb1U/CPuTlKNZRl5VrDYdkqJCIAizAnAePC9ZwErTYWccczhNGUYZl9ZabHRdXFPn8v6Em4OYQZTzwkrAOFHbnb6tHOCOw4yub7E7ydgdR7y9M2WSFuRlja6lnO8FIODFU3c72oVZyTt7U/Ki5nCa8pdeWV2skj5nboXgBLbJctPmG2e71JVqN7m2jmMq97+iqpVOJHAI84LVpsPlvSlRXvLeQYyuCYpSUtUS29Q4ijLeOwj54fYES9fYHSecX/L5888tqZV/UfG9GyPs+dimaQiOZznwaPnfuibw57tUealuSL97Y8TBNGUU5xyHGa+stxaJZgs+dxZF/DHzynqLoqo5mFoYulLTZmVNx7Uoa8nXznQ+0x18VUtmaUFWVoRZiaVpjJKCvXHKpTVJWijF+b367rcT5+XcpCZBSuYe0RrLzfvPvZZVze445ThM0YTqUdqGzrUwRhew2ip440yXP7s2ZBIXHM5SAsfkB1tjup7qhwshaNgqWhJguWESpjmWrmEbOlWlQitcS0dK9T33Rkr0dq7vI4TAmW/r74wSeoHFtePovjGVC35yVLXk5jBiEueYuo6p64zjgu1xwjDM6WOztGJz5Sik6ZqkRYXQJC+vtfBtg6vHEZf3p9imTllKTnVckqxiybc42w8Qc+XIm9tjtgYxgzDDtwxe2WgxDHMOpxmapvwHJBr7kxTH0hDi0eJoNU2F96R5xXsHMwZhzs44Jpu7yW2PEl56gB77ggU/SRZF/DHT9ixeXm9xtudzquXiWDrv7k1PxDafRVktpeTKUUhW1JiaxmrLJkwNpFA9+T+7PuB0R4lu7qd2P9VySYuarq+2/HuBxVr7wWa19yYp37q8T5hVvLjSxHcMlgKLa7qgrGs0AYezjEGcMYgyAsdEFwINQVZVdE2LUy0H19AYxmq+/htne6y2XFaaNnuThONZzjgp+bPrQ5qOSce3+O6NIYfTjOeXA37xpRVMXeMvvrDE9xwDzzKQT6WLwJeHq0chP96dEucV55ZsXt/ocDDLkKibxF5gU9WS7WHMICpwTY3VlssgzOn6Fn/9jQ3ivOT33z/CNTU6vslmx+O55SZf3WwyTivKquIHN0cUteSDwyld1+Ty3pTANWm7Jk3XZKPjsjtOcS1d9ds/gz1qWqgC/sGBCh5q2hZWIPjwMEKf7wg86N/Nl41PEsF9EWe1P08WRfwxcjhLmcYl4yRXK9NByMWVJuf6PtOkoOmqmfGrRyFZWXO65z1wOAhALSErlHuUaxt85XSHvKj4oyvH3BwmhGlJXcNaW/UNP62Iu5bOpbUmk9glqyr6/oP35nfGMYeznElcsNl1+ekLXd7dmSCBpFS54nlVYRs6vmXi1JK2bzCMc5xCtR0m88+j61voQmOcFhS1pJQCQ9c5mGVsDxNOdzwOZxmrYcY4KSgryf404Udbyqvdd0zeONs9+XwXfH7kZU1VSVquxfl+QMuzsE2dhm0QZkqR/q3LU94/mFHONRyupWPpgsNpwkbXo+sZ9AOLpKj4119awTIM1toOO5OMJK/oeBaeqZOVKmP++1sjdE1wphfwxpkOr2+2cUwDx9RpuSa6Jh5aK3I7WVGjCdV/nyTlyTk7SXKajklSPHMu0Qu+YCyK+GMiySsOJnPxTpwjNAE17I5TVps2Z/oBjqkzSwvSeSGexMVDFXFdE6x3XCZJcTK/KgUEjoGuqRSxWarm1Z0HVLsry9WHK37LDYelwEYX0HEthmHGmztTdF1teIZ5ydYwYb3tMoxU/3B3nNBybQZhxijKOb/kk5U1N45juoGFqQuOowxZw+EkpZLqpuUwTEHA+eUAx9L54daIq4cRl/dmrDQHfPOlZZquhWvpi/nxzxEpJWlRcmMYKr/8FbWF7ZhK+3AUZuxNVBTp+/tTxknBVzdb3DgK2ZtlFJXk0loTKSWeZaALjeOo5NV1nx/vTtibZESZGqU81XaZZQVHs5y4UGI2TcS8vNE80ZustV2aroltaJ/JMKjpGnQDi65v0Q0stoYxaVkxSUuOo5Sv9TqP5fN72viiu5x9kVgU8c9AWdUnFwhDF2gagOD5lQajqGAUZby1M2UYOdTAq+ttPMvAs3Wyon4kNXXXt+7wF5/Eanb6TNcnzkvON5x5P/zBVh9S3rKS1O/pQCWlZGecEKUFhqZhmTqbHZeX11ukRUVV17y7PyMqSjQJTUcjyVW61FLDZr3togvBOMnxbZ28qE/CUOKsYhjlSCS6Bs8vN/hxOeG1zTbT9BjRcfnKZpPzSz55VXOm57E3SXhrZ8rhNGUQZbQ9ZWXr2TrX9IhuYHF+3jNf8OQoKsnBLCMta3ZHCSBwLIOzPZ+ykoh5PrilCRBqi/uDw4ivrBuMoxyhaUzinF9+eYU0r4iykqqqifOCrFRb8GlRowEbXY8L/QBJhG1ojMOMXtNBR9zxe3+YkJNPQghlONR0DMZxgSYEo0iFFnVc+y4XxgULnjSLIv6IXDuO2B7FVLXk+ZUG622XiysN8rLGtw2WGiVvb1d0AhOBOIk+1DXBhY8lh30WGo7JUZjRb9ist9vKf9oyHnjufHukXOMsQ+PiSsDuJD2Z7bVNnTir+Pa1AUfTjJZr8Npmm1pKnl8O2BknJHnFKFZz4ee6Hk3XYpIUZEXJzkiNC11Y9nHMFh3PpKphkhRoKC/3Glhp2vQCh6WGzVrb5eYwIrAN3tqZIKUgL9Quh6ZBz3fYaDkMw1zNqxvqoj1LC5YChziryMp6ERn5hLEMjdNdn7d3pgS2QZyX3BxE8/xu6PgmZV3x6nqDq8chdVXT9CxMQ2OpabPZ8VhuODimwc+c73N9EGEYGkWpnAkncU5W15ihICoqdA2WA4d+w4IlZUR0YfknZwLUcEwajlLc74wSfDvDNjUCZ3EJXfD5sjgDH4G6lsopLc7JyppJUjDsBzy/EpyMsniWwfmlgGlaogk41398hft2XEvn5bXWyeOH7Qun857eNCl4Z2/Cziil51u8sxPRa9ikeUle1kzSgjArqIAzHY+NrsvpjocQgqKuabkmDUfncJojgaXA4eYwJs4rWq7Bn3++fdfK6HTfJ8orTjVtNLWNcRI1+YMbI47CnKyseO8g5M8/1+eV9SaaqFnreCRFTVSUdF2T51d8XNNgEOVzL3f1XkezjP1JSuAYnO15i2L+E+JwmvL+wYxhnPNXv7rGt68NGczV4r5jIBDsT5TZ0f40QUecbHePE+WEZug6vmMS57UKxQksilKSlSWXd6dcH8aYQlBV0PZqJNDxLDQh+Hd/apO8fjwr7/thGzrnl4KTCYkFzxb3ahM86y50j3TWCyH+CvB3gWXUvq0ApJTySzHfo2mC5abNLC0YxTmWrlZ907S4oy+bFBUr85EtNSf+9IV5GJpgZxSfCM00IUiKiqRUkYuOKXhxtYkmoOOZ7EwSJmnB/vWM4zBnuWHTdEyyvGIclViGYNV3CBwlZNsexpzuqfn5Sx+b9W57Fu07nWBJcmVNu9yw2R7HlDXoQvLh4YzAMej7FoFtYuiCvmUzigvGcYnfMbm0dufpN47VnHCYlhSVxDIWF93HzSDM+LMbQ37v8iGOoTNJCtaaDp5lUtU1vqWTFDXTOOdwmvLjnSkt18QwNMpaUkk4DnN++nxAnJfYhuBsv0Wcl7y7N+V7N4bEeUnTUe59bVfF11q64IWVBueXA2oELffJrkcWBXzB08Kjnvn/HfBvSinffZwH8yyx0nRYaSo/9BvzWMWPm7gEtsHOKKYX2DSewCrhYcnLmjCr0DUNXRNkZc1m1+W1jTZN1yTKKqJM5ZNfOtVUZjKe81FmuYQwK5BS8PbuBN82KCtJ07VoeyYXVxpoQuBZukpKy0ss406L2ays2J+kWIbGUmCfKJBtQ6flmVw5jObCPY1ZUnI8y7i40mC17WJpgkpCWpZUdX3Xz9cPbPYmKQ3nwdsLCx6OpKgoyppZWnBUpDiG4FTTpuubnOl7nOn6XDmKmGZTTENwYTlA0+B811Mr76ymG5icarnEWUVeSfJKJe69vTNhe5gAGhtdh/N9n6KsqeqaMz2ftY5Hx7MWgsYFd/Egq+tnfQV+i0etLAdf5gJ+O7ahc7bnczBN2RsnLDU+cjvbn6b4tklRPZ19WUMT2KZ2UuRWmjbPLQcYusaFpYB39qbEea3Sx1yLXmCTttXj1abD+wdTxknN29tT0rzk6iDi1dWmijKdr+pXmjZnuj6OpXHtOEbT4OJK48SM5q3tCYezjL5vszdOKGo1ovT6psc7e1MajsVSYDNNcsK84kwvIMpLTrddhCa4chQyigpWmx+N+kzTAlNTcaoLK9afHJOk4MZxxPsHM0azjKJWOoeu7/D1s21Od3xGcc4gTNnsOmhC4pgG+5OEta7HUsNmo+Oz0rCJsoqbQxUidHOoXA8v78/Ii4oXVhv84kvLtD2T798YMYhyllsOXzvTwTa0p/Jva8GCJ8WjFvHvCiH+PvD/ANmtJ6WU/+ixHNUzxu5YXXBGUcFzywEvnmrQcEwMTWWIP62hHZomeG4poOjdPVOelTWOobPSsudzuB6mrjFJClxD49vXhry7N6PrG0RZzsEkI8wLbo4T2kchp7ueclwzXVqeeTLfHmYll/emnOn5WIZGUlRkRc3uJMY1DeK8ouubxHnJlcOQtKyYpTnrbRfT1DENjZauqXCMJGealAjguzdKkqImsHRuDBOklPiOjmsanF/yF3asj4lbiV6DMOOPrww4mMX8aGvCcVJgonZ33juYsdS0WW7M+Cc/3OPHu2OqWuPV9SYvr7mYuoap6QS2yfrcKCVwxDx3XjKLc354c4xjqG3zza7D8SxjmhQsNRxePNVko/NgsaILFnzRedQi3gRi4C/d9pwEvpRFfJIU7E9TJtFc1W1oyrWt7xOm5VOtYNU0ga3dfTEMbAPTEDQ0k3N9X6WJgfI7n2bMUpUqVsmai6tNEDPqsVQWrnM71FuYmqDdspFIrhzOkAi2RgnffHFZKZINjVqCJqDhGGhCjevtjhN2xwndwOLmMOZsP+D9g4IoK0nzGssEU9OI8wpDV6NtR7NMxVzGOeeXfUxNJ8qqRRF/TBzOMq4fR3z/5hCk4M2tKTujhKyuqDSNsy2HtZZDYOv8kx/u8s5eyDAq8CyTYVxQU2PqAtMQdFyTrWFM0zVpuebJ1MZ7+1NMQ3msn2rZrHd8rh6FtD2LpYbNctOh51sqRY9Ff3rB08uTmLd/pOoipfwPH/eBPMv0Gw4vLDfYGiUEtglCFfaubz3V27l5WZNXSnwUZipi9Nbcu2Vo9/QhPw4zdsYxZV3T8U2+stlGSIGpC9bbHh3P5Plln0GU029YaAh2JylGqEbrPjwMmSYloO76AlvneFarcba84lzfx9QE+1Nlm9nxLJK8xDI0orTkcJIwTkqqqsKzTU61XV461WSWlvi2QdszKOuapmvQmpvANJ7im6hnjVGcsztOyUpJWdUEjsFK02IYFXQ8k7Wux+m+fzIlYQgV+tPzLVYaFs8tN0hytStzc5TgW4YSVa41Keb98LW2y88/3yfMSjW2WdVUUmIIFWayPs8N/9a7B8yykp9/fomNrvdph71gwReWR1WnXwT+Z2BFSvmKEOI14N+SUv76Yz26pxTlTlVjGxqaJlhtOpia4HRP9QCFAM96uld+RVXzweGMulb/NnUN0xBcXG58akDLJCnQNFXgn18JTrY0/41gjcNZhmVoDMKcMC05mqnxtLyULDVs4qzi9Y0W//RHu1RVzb94Z5+ykmiawLUMVptqVtwxdRqOiQSuHoQkZUU/sAkcnVGSU9RQVkokda7vc6bnIVEBHJ6l8+JKA882TrLLF3w26lryzu6EvUmKaSjTlq9ttskrySvrDf7s+pC8lOgIXlpv8tPneuRlxVLD4VTbZaWpEu1AzVsnuerA3fobseZK9Vvn41LD5utnugihVtnvzyNqNUOj45nsTxO+8+GAP746QBOCYZjzK19dZ6PjLlblC750POoS5X8F/kvgfwGQUr4phPh7wJeiiG8NEyZJgWNqPL/SQNfESfrXStNGCHFP97OnibKS3BJ0h1lBx7MpSkktJdqnuL31A5u9Sq2gbu9J2qbO5nw1lOQVs7RkGOUYukaclay11djZm9szDmc5R2HG9iTDt3Q6vslXT3fY6Lgn7+k7Bq+st3huOUAToGsaeVGzP02RMkVKfR7gYuHbBjujlBuDCNfSOdPzWOssVmaPi6vHIX90ZcAgUgLE55cD1jsuwzBjb1ry5y70WWm4TNOC0x2Xtm/x450Juqax2nJ4ea3J9eOYtKgwNMFzy2rb3DY0olztABW3nY9ZWZ3cSB5MU64PIuK8ZjOwGUYF144jRknOLCvJy4p+w2IcF7Q886FsjBd8PtxLFb6wdn10HrWIe1LKP/3YXW/5GI7nmeBW6EFa1NS1vGPl+ll8mp8krqWz2nJIi4rTXY9pWhDYxn2PvzXvX34SR7OMvKxoOKrIj6KCXmCpcTNN4JrKjMUUYGgSTUi6nnLs+njrwdS1O3rrP9oaU1UwS0vO9X0ajqHS0CwDIaCUEktXq7oFj4+8qglsnZ1RRaNrkJU1HxxGHE4TXlpr4hgGp7vefBRQMI7zEx1CXUtMXce3DWxDZ2+S8vJa82TFfCuP29A5OR+Xmx+F8YRZSdtTkw62obE/ScgKNS3x6lqLUtYElkEt5clqf8GCLxOPWsSPhRAXUG1NhBB/Ddh7bEf1lLPWdjgOc1qu+ZmywT9vboWowK0glM+GlJL9SQpAUuT0A5UdjpQMolyJkhoO55c95aOtixPL13slTU2SgrJSyzNDV7PslqHT8QwmcY5jqiLvmDrPrwQsN2zKWtJ+DD/Lgo9Ybbp8/azgK5ttmvNc+KuHKonPtwxeXGvSdFVGfF7WNGyDs0s+W8OY9bZLYBt4ls40KXFM/RO3vJcaNkVVc2MQz4uyxiwpSIuKzY7L4SxD1yDKS75+pkNV14xjNZ3w/HJwxw3fggVfFh61iP9nwG8BLwohdoBrwK8+tqN6SKSU7E1SqlpyquX8xFbDeVmzNYrRhGCz4z4zq+4nhZgbuxzNMoqqZqlhY+kCKTX2JymOqfH9GyO+d33M+/szJGqMTflS33kqztKCm4OYUZQjT1brLm3P5KU15VEvEMRFReCoTPTl5mIl9lk5mqnIz+WmfdLa6Poqqe5HO1PanokAorwiLUoMXVmq6kLFik4TJUJ8bjm4IyPgdNc70ZF8EsMw4/feO2R3kvDSaou2p36vjqkzigtuDmN+vDthuWGz2nJ5bb1F4KgbA+8pNFNasOBJ8Kjq9KvALwkhfECTUs4e72E9HJNEZRWD2oJdbTkP9frjMCMrldWnqWvsjhN2xgnnej7921arozgnzqqT79kLHjyD+1mlriVF/dEceVHVjGO19e5+TLwX5yVJUXI0S1VwSVXz3Nw/XgiIslKNjY0ShnFOVpSsNBy2RjHfvznC0DQarsmZ3sf62fPdcdc2WGm5TJOCP7kyYJYVtNzuk/gYvhSkRXWyk1JLydm+ihPNy5o/uTrgg4MQhOTSSoOXTjUYRTlXDiOyquKVtSZJUREXFZrQcE2N0z3/5L3FvMh/EjvjhD94/5APD0PSUtJ0El5ebxCmJe8dRIwjFeHbDSyljyhrNE1gaBr1on2y4EvMo6rTe8B/A/wcIIUQfwj8HSnl4D6vWwP+GXAJCKSU5fz5vwX8FSnlzz3K8ZR1zdXjECklK80HK6y3CoqU6uIlhKCuJasthx9tj0nzmuMw45cvrZ5smfu2QS0TDF07cWX7IiOl5MpRSFrU9Bsq8vPGIFb5zRq8tHqnF3qYlUgpKCpJmBVomkXbt+gEFkVZsztO6c3jSYu6JitqGo4ab/t/39oDBF/ZaNGwDZabDg1Hp+N72IaaO78lWoryEkMTaAi2Rwkd3zrprS54dAxNEM/T51aaDhvz3aZhlCOA3UkCQNOx+NkLHfbGKVvjiCSrMDWNtKzYHiUsN23O9DzWO94DCTyLqub9/RllrUSVq02T1zdarDRcyipBFzoNFwIX+r6NEJLXNlrzv2F10yEQj6UltOBuvij2pE+KJ/15PWol+r+B3wf+6vzxrwJ/H/il+7xuCHwT+Me3nhBC2MBXHvE4ALVSiLKCKKs4nGUnSvFP42iWkRY1eVUhpbJPvdWbNTWNlPouocwoypFS3KXM/qJSVGqUDtRNz/1ouxbTpORM30PWEnfeCzV1jSgrycqKjY7H6a87XD4IQYJpaHx4GLIzTtkfJ8RZyWrbIS1rwrRC1wQvrnonNwt5WTOOc5K5gtk2tUUv9DGQFhWH04zBLKMolUAwLioamiArKy6uNhjP+9MNx+Dt7SkfHk64NkjpByaOCZNUCT2lBMfQeVC5yNEswzQ02q7Fy682eX6lgW+rHnvLM2l5BsdhxdmuGidcbSmXt+Mwu887L1jwxedRi3hXSvnf3vb414UQ//b9XiSlTIH0Y8KW/wj434C/84jHwsEk5bvXx0hZs9qyeWW9dd/XNByDWVoS2CYbHZdKypOV3s891+coSun7zh0rzUlSoGuC8B4FLS9rBlGGZxmfqt5+lrjlpz5Ny5MdjtNdj3GS07DvFPXVtWR3nHA4VdGfq12Hnm8zjnPKWhJmJe/tzzB1waW1Juf6AWUtudD3OdVy+edv7zKYCTQBV48iWo5SqtdScvtm6Y+2R4yjkqXA5nTXpePbX4obqsdNVlYMo1w58+kaP7g5JsoKtscJtq4hkfiWwY+2x1w5jEjzkr/wQp+qhjgr+Z0f73M4y7E0wavrbS6tN2kMU1aaDmc6Lm+c6dxTwCalpKrlHXoSx9QpyopJUnC+7xM4JpNYuSA2XYOfe26J9w9mZEXNn14bcmEp4MJyQM+3EIAmFqvwLxKP6nL2Zd0xeNQi/ntCiL8O/IP5478GPPQnKIQwgV+QUv5PQohHLuLTtEDWkrySTJISKe8fONILbFquia6Ju77WsXQ2Lf+u16y2HAZhTvceLmw744QwLREix11pfGFSs5abDsu3GbdZhsZy4+6djllWMopyDqYZcVHhmkqQdPUoopI1b+9MGUcFbd+kqtXOxyxKSYqK55c83u54xHmNrWu4ps44UdngPd9hd5zQD2yKumaWlkyTgigr7jCbWfBwbA0TklytvoWADw9DDqYxeVVzcVndZFW15MphxME0oZYwTSrO9H2OZIppaDQ9k/W2wy++uMRG18e3QsKs5EzPZZIUVFKJ4m5tqav2TESSVyw17BPtSsczOZhklHXN+4ch55cDDmYpeVlzOM0wNUFgGwyjGENXFr3TtGC54XwpdCkLFnwaj1rE/2PgbwH/5/yxBkTz3vbD5Ir/e8Df+7QvEEL8GvBrAKdPn77n1xi6RsuzMHW4sBQ8kGtTmJUUZf1Q40j9wKb/CReN20eknuGps4eiqiVJUeFbOp6lY5sarqXhWwZN1yTJKq4chuxNU3ZHIWFe05oZ1GVNVFQkecmN45iGo1TNvcCi59lsdj12RikbHYcPDmcsN1Tk62bXY7lhE6YlDcdgd5yqTOpa0g/sxbb6Q/DR+SqpKompQ1LUNB0TXdPIipLv7E8ZzFLeP5ixHNi8uT3mcJaiAQ3b4Ew34Gcv9FhquEgJr260eG9/xo+3JxyGOV873TlpoQCUtSTJK8ZJTpgVZGXF3iSlKCvySvnedz1Lraxdk4M85fL+lA8PZyw1HF7baHE4TWH+/wsWLHh0dXrjMX3/F4DXhRD/CfCyEOI/l1L+xse+12+hxtl444037ilDbXsWP/9Cj/f2VJLYlcOQC8vBvb4UUI5i144iQBlZrDxAD/1+3JqHdS39SzN6duUoJCuUT/mZns9Lp5q8sNpESrVduj9JkAImccEwrkBIDsKM/VnGLC1YChzCvOKlUw2EEGx2ff7c+S4CQVZUHE5T9mcZo7jgfF8J3C6uNHEMnaSoKaqarWGMpevkpcqYXvBgdHzrZDt9lhYcz3LanjlPFrMZRAVHs4y9aYpl6IR5RVfAUZgR2AbPrzTpBh+hQLIAACAASURBVBZtx+J4PhlyquXw4+0JP9yeUNXqhmDltkmROK8YxhnH04xuw+K9/SlRVpOXFWUtWWo4rLSceRvHIS8qRnGBrDnxA7h4Dz//BU8PT3pL+8u6hX47D13EhRAWSsj2Mmr45x3g/5JS5g/wWhP4bZSQ7XeAvy2l/K/m//eHHy/gD0rDMXlnd0pc1MyygpvDiNPz6MzbKauaSVLc0WOt5eMZT9E08VSHnTxu6lqSl0r0dkv8JoRApa7O3bjmwra2ZyCEQ1XDMFLCKc1VWoSVloNj6Jxq6XzjbAcp4U+vD/jR9hgNyOuatZaLY2hcWqtwTJ1zSwGjOEfXBDsjNWHwtNvcPm0chxmmrrE/TdGEckxrOCaeZSIRjJOc5YZNVtbcGIQIKTB06Hg2qw2Hs32f012PKCs5mGYn7zlJC5K85GxfjWeuzUVoUkq2hrFy7DN1Op5NnJWkRcZa22WU5CwFDr5tKOHifFztfN9nd5zw/Epj0TpZsOAePFQRF0JcAv4p8EfA91BX678A/NdCiF+RUv74014vpSz4BAX7o46XAVi6xvl+QFpUlJVkuencc2t1a6T61poGga0BgpV79HcX3B9NE2x03HvOy1e1ZJYWxHnFcuDgmjoakjCr8S1BWNS8tBLQDRzivGR7lJDlFVePI64dR1w/jtmfJDiWQZJX6FLM2yTq/XVNnLQ1XFMnLaqFZ/ZDEtgGs6SkrGqGUX4iEPRtA28+fRHnJcsNize3KhU7W8JK0yEtK2xDjVneslM1DcHVowhNg6Zj8Np6k597rn8ifhRCYOraPN/dYL2tXPvyUiWUlbVkFCkdxLVj1Tdvugbn+j4vr7dOcscXLPi8eRLxog/Dw67EfwP4T6WU/9/tTwohfgn4TeAvPq4Dexh6gUVWVvxrwRKnWg72J9yx31p1709StZITGk3XXIhjHpG2Z90zKWxrGDNLSw5nCZO4wNR1NnsO5SRDaBpfP91is+vxwWHIu3tT8rLiYJLRb1gMowzfVi5ujqnRdA0QgigrMbW7b8ycuYBuwcOx0nTm/gjgmgZCg7Zn4pk6s7Sk6RokeUnLtTjb93EtjbN9j91xwiDMCGyT80sBs7QgzEvsSpAXFe/sztgdJQhN8I2zPXYnSqC22XW5sOQrhz3LOCnut/+tNh2TvKz5zrUhRSlBwM9eaH9eH9GCBc8ED1vE1z9ewAGklP9CCPFIW+GPA1PX2Ox4xFnJ4SwlK1UmsWfd+eNtdjwOpylXjmbcOI4xdY2bg3hRxB+AsqrZGiVIKdnseifCqHuJCMu6Zmcc8dtvHZDmFeeWPd4/VKpzIQSaJjkOc/YmCVUl8SyDpluRljWn2h5vnOlwFCoB1bcuH6FpglFcMppvs47jguWG/UB+AAvuTVVLwrTg6lGIZxt840yHspIqXW4cU1cgkax3PM4tBfQDC1MT/MbvfsAsK/nO1SPWWjbv7oe4ls4gzBhFOe/vTymB41nG9UGIaai/wUGYs9n1aN5HL2LqglMth6yo6S6iZBcsuC8PW8Q1IYQtpbzDZUEI4TzCez1W/uDDI64ehkR5xeunO5i6xpnenYc0TXK+e2PIKMwZxTkvrDbUSm/BfRknBUfTDF0TGFrCbD4rf74f3GWnudHx+PbVAYYG4yTnnZ2CwLGwDcG5fsDl/ZBLq4JpUnAc5XR9k4srDaZpScc18SwDITWGSc7rG23GaUHfdyjKmp1RgmcZDKJ8UcQ/A9ePI7ZG6dw1T/AHHxyTFBW2Ibh2HDOda0deP92m4zkEtsnxLCWdj3HGec2bW2O+d3PMcZTh2waOrtNyDMKioheYnO37HIUFRVXTfEA1uRCCF1abTJJiUcQXPDN8ngK7h61g/zvwD4UQf1NKeR1ACHEW+B+B/+OxHtlDUFU1O8OE42nOJCt4e3tC09a5JjlZOWZlzXv7IXvjBNPQuLgS8PUzHdbai9zpByHNqxPbzYajU9eqPfHm9gjPMlhpKlWxqWkMopxX15r8yYcDZnkBUse1awLbpuEYSOCtnQlSqkjUhm1SSTg1F0HtjhOyqma97fLCSoNJWiAlHEcZs6wkKSounVqolB+W3XFClKlRvpvDiHGSkZY10zRnHBUnKWHXDkOyStJ2Td7anpDkFY5pMkoKVps2libo+hZ/fHXI9UFEjcQxNNAFax2PXmDziy8u0w0cuoFzV1zv/Qhsg+BLYGu8YMHj4KH+UqSUvy6E+JvA7wshblW/CPjvH1VZ/jiYpiVhVnIUpdRSjT7JuubcfGbc0jV0XXAUZniWSS8w+alzvcVK7iEQmlCBGFLSC2xGcUGYFlwfxKR5ReAYXFxpMoozOp7N27tTdB16voWsBQ3b5PyST8s1MTSNjmcDKqK04RhcWPKxDJ2iqsjKillaognBMM65OYxpuyZSwkrDoekai9/dQ5KVFYMwZxhl/PZbu2ia4PxSg1fXPISAP/zgmLyuKfOKG+OEopSUdc1Sy2FnlJzMZV9aa/Lm1oRBlDNLchxDQxfq93lxtcFS06HjmpzpfzTu9yzH9S5Y8LTz0Le7UsrfBH5TCNGYP/5cE8xAzZ/2Apv9ccKbWxManoGtQcuz8GyDpKhom5YaaWo6vLja+FKNgz0KVS3RhNrezMqKrKgAyVrbpRfY9AKbw1nCt68NCdNCJYp5KuhEyoy9SYprGpS25LmlgK+cbjOKcpKiZn8a8ep6i4ZjcmHJ56VTLcy5w90kyee/T4ulhs21o0gVjLTg4kpjHjm60DA8LHFWcXMQ8d0bI2ap2irveBY/e6FHUdW8vtni+sDkre0RZSXxbZ3NrsPFlQZtx8CyDDxTY2sQUVSSDw+nRHPntW9stnl5s41EEDgGLWcRSLNgwZPikfesnobifYtTLZujScS33tsnLSRuYnC273NxJcAwdHqBTcczkVIpXh/Gpe3LyDDK2Rkl2KbGhaWAg0lGlKnxveMwp6glSMnhNGMc5gzjnKKsyIqanzrXxTF1Xlpr0hzGLDdsuoFNx7PwLIPv3xjjGAZFJeexlwLL0HnxlDKJ2R4lBLaBJtQI23GYMYhyAttkpeksisMjMoxyrhyH7I1jZlnFWsthd5zyz9/ex9TFfNZfUtYqV2Cj7fDvfO00nqnz7v6Mo6OQOK+4cRyxNUwIs1Jlwds63aZLUkqeW/LZ7LhYhv6psaMLFix4fHwhGk+apnFzmKFpOmmZc6ptsNZyqVE98bKuEUKw1LCp5b0V1Qs+YpoUAGRFTVZWOKbGJFHP60IwDCVZWZ24aIn5xd/UdfJ53vhb2xOyssIydM72G7imzuEsI68qznQ9XEMjL9XIX159ZBaj3ZontjTKWnKmp5KrbEP/UsS/Pm62RzHXBzFRWnBzEIMQnGrbNG0DDdgdJZiGYJaWXD0KaTgmL6w0ObfkYWgaN4cqevbKYUSYZYzjkl5gYpsQ2Ba9wOJMz6PpmlxYulvkuGDBgp8sX5ir4pklj/ePpgyjnMNpxneuHdNrKAMLQ9Po+TYfHobkZc16x71niMmXnaqWFFVNv2GTVyqKdRhlgOBsz2O5aXM4V6hvdj3GccFmz+VglqLrNd7/z96bR8mSnvWZzxd75J5Ze9Xd11avWlqtFbTCARswi1mOzRhjz8jDwMGYYwY8cxjjY47HDIMFtllGNj5gFtsMBiHEyBJCYAloLd2Suluit3tv37Xq1pp77BHf/BFRdesudde6t7bvOSdPZUVlRr6RlRlvfO/yey3By3MDnj23zHIROl8YhDTKJodHKvT8hH3NEl6UcHi0gmunVGyDk5NXVHyPjJWLQTLwia9eZqkfUrIN3nlsVDnxu+Arl7r4UcbiIODgSIlzyx4CwauLA6I4ZbzmMlG1WRwExEWL2ev3uRwerTDX9XlxrkfXS3hprkvbj0kyyXjFZKbh8ti+BicmqnlqxDWxjQfnwMMkJUwyqsXI0hv9vevH1BxT6QgodjV3qtj27Tf7u5Ty9+7NnNsnTFIudwMcU2ei5vDXH5uiZGh86NOnEUKyMgx5+XKPqmNwfDxXc1uVCe0HsXLi15BmklcX+sSJZKJmc2KiyumFPl842yaTksdmGjy2r06jZKILgaHn+ta6lsuuJlnGUj8ikxmDMGWhHwAQxA7TNZdj42Xmuz5nln1sXWcQJuxrlTg8erXeuW3o2BWdc8tDVoYRF9s+rqVzaiHvZ95rgy+iJONyN8A0BJM1546iSFJKXFPn5csDkixhouZStfPw+DBMGIYJzUq+mnYsHdcMmWm5fO3xMS73Ql6c7XF6aUCzKEaUSGQq0TSNMJHEqaTmWrTK9gMtXovTjFMLg1xjwNY5NFK+bl7BuWWPMM5YHkS8TnUyKHYxd7q0+ebi5zjwduBTxe/vAf4MeGBOfL4b0vMTen6CpWtM1l1GqhYZ0PMSKk5ezbwyDHn+QpsgShhG+dSyjSaR7WXiNMtVssgnvNXilFfmB5xb8ZCZpOFaHGiVrpvbfGikTHsYc2phwOHREhfaPifGy+iaIE5S9jVdHp6uUbZNvubEOBPzfTp+RIZkqr5xhXnDtTg0Uma+u3oxkGLqey8NsjgI6RbpjbJtbCgvm2WSKM2uWnUKkReaaUJyZmHI8+e77B8pU7UNarZJ3TERQmPZi6iYOuM1h8dn6hwYKeNaOmcWBrimgaFpPDZT44XZ/HNi6YJW1WGm4VJ3zQdefZ5mkiyDhX5I2s0lW0+MV1UV/BZxP3ukt1LidLvJq27EnbaYfT+AEOKjwMNSyrni9yngFzffvI1ZzdPOdT0+/9oSmtDoeD5JKrEMjdW5JivDhFcWBlzuhbzj+BjjNUeFZW+AY+qMVW2GUcJk3SFKMybrDl0/JkpSZpou6TXDYsIkZRAkvP5Ag3rJpOdHjFRsZtsmy15CydT4hkenqBSOx7V0WmULU9eYqjs3DXNWHIM3HGxSsnSCJKNk6dcp8O0FnKJqX4h8RsAqHS9iECYEccr55XwO+EyjRKtiMdNwCZOUNJM0SxbLw5AXZrvIDMIs49tfP8MT+1ucXeojBZxZGDKbpkihUS+ZPHVklIMjFY5PelQcHV3TONgq88hMg0EYU3ZMmq7FobF8CMoDf09MnZmmS9ePKFkGcSJJpUTjihM/OFJaC6crFLuZuz0rHlp14AXzwIlNsOe2WZ0f/cxryzxzvs3FZQ9DiLxwTROFprbG4ZESfpIyjFKW+iEPTW7WFNXdx+Q1K+PJmgNS4scZFdugec0q/MzikCSVtL2Io2MVTi30CeOM00s+Y1UbQ88V2taz/zZP+mcWBwRxRpRK6q7JSGXvpT+klJTtvIfe0DWswqEHccrLl/tc6vicWRxSMjUu90Pefiy/uO14EU+fWcbUNY6N5dEMP0oRGoxVbB7b36BsGXhxzEIvxDF1On5MkqV4YcrSIGRfs8TBVpkgyfDDFNvUedPhBn4kybJcQGkr2zRbZYs3Hmyy2M9Ho64OPJrt+HhRylTdYVwNN1JsEtt55OndOvE/E0J8HPhP5ONIvwf4002z6hZkmeTU4gAvTEiyjIGf0PdjTENnvGYxUrY4OVnn8GiV/S2HpUEuKDJRu/nqT3GF5UHIfC9krhcy03BJMnlVPlZKuTZQJkoyNHElf6tr0CjZHB4tX+V8L6x4+Qm24Vy3QkozuTaHXEpJWNQvNEomh0fLDMOEOM2um0431/UJ44yphvNAC6vuF2mWv6e6Jji/4tHzE0q2ztGxKxdDQuQpjzBOqdg6XS+h6ZhEccpk3eHCiocfpiyGIZ1hSJxJxqs2tqHxfW8/yOum6sy2PYZRSsU2eWyfxbG4gh+lHJuoYOuC0wt9XlsaUjJ12sOYs8tDphKHJw+10DXBueUhS4OQ/a3S2ndqve0PgpJlsL+pr0WIgjgXtAGY7wUcGavc7OkKxa7grpy4lPKHhBDfBnxtselDUsrf3zyzbk4qJfO9gIsrPl6cMtNw6PoRcZIxXnX4+kemqDoGJdvg+HiNE5PgR6kqZrsDun68djKO04yRipX32QNxmr//VScfZ+lFCX9xaoleEKPrgq9/eILJukurbK851qAYXAL5cIz1TjxMUk4tDJASDoyUqDkmY1Wbr852abgmL8/10TRBx4+vcmaDMGGpn5+09V5426v87YofpZxeHAAUFy4pAPPdgJpjMlqxEEJgG3laoj2MODFZxURwZiV3yj0/ZqLm8JVLPZaHIZbucGikhGPoPL6vzpOHRgEYRCmPTNXxo5Q3HWwwjPM+f10IPvL8HLOdgMm6nYfRp6ukWV50GCQpaSrXbFsZRkw3XIZhwmtLQzIpOT5efSCtZl0v4tlzbVzT4ORUlbprYhkaUZJRcfZe6kWxN7njT7oQQgc+LqV8P/DAHPd6/DglijN6fkzdtWiWLdpezPIwoubm1bZT9fyEbhkarqWr3NgdMlKxCROfR6ZqTNRthBD8+atLXO4FTDdsak6eP+8HMRdXPHpBwuMzdTQhmKy7zDSvdqhW0fvtRxm6JtZW736ckqQZWb7wZhAk1BwTAYxVHIZhgh+HjFactYuIjhchELiWjqZBlrEr+pOHUbJWyzEME2YaLudWhkiZj8+VUq7JzZq6RqNk8drSkH0NF00IHMPg/LLH246N8uhMjZmmy0Iv5ECrzMPTDQ6NXOkEGKvYpJlkpulSdS2qxbjul+e6LPVDhkGMZ+fzvA+MlJjrBJiGRsnU6SYxmgZS5jrny4OQpUHI2aVhcaEmeXxf876+V16U8BtPn+XCSsDhsRJTDYdW2eL4eIUkk2upB4Vit3M3squpEMITQtSllN37YdRtGIEUkpprsq/pYpuCF2e7zHd8dDKCOF17aJJlwM4/wd8PpJRImWtbB3HKxbbPIIgxdEHdta5qzVnqh3x1tscwTDiz2Gd/s0ycZkRpynwvRNMEs12PyVrphhEPTRMcG68y1/FZGkT0/B4UhUgVx6DmGiSZXAu/11yTVxf6rAxiRmsWjZLJeM1meRAy28kr1g+MlDgxUSXN5K5IkzRck36QIKWkWbbwwoQskywOAhYHIUJI2l6MY2iMVEzOLA5wTZ1EQr1k4JoapiHoeBF1x8TSdU5OVDi1MEDXBWXboD2MiNL8ItiLEsq2sTagJM0kHT8hzjJcW+fRfXWOjlXQVnXzgVfn+wRxhmMKjoxWeGVhwMuX+4RxyjBKiBLJXCfgYCu+rpPhTvGjlLPLQzQhODxaxjI0kjQjTiXPX+hwenHAfC/vdHDM3GlrmsBSVeqKPcTdxpwC4AUhxB+TD0ABQEr5w5ti1S0YBCmz7YAoTSmZJV6ZH/D06SXaw4TZXsDRyRqPTOcV00qm88YkacbpxSFxmrG/VaLnx/hR7sgbJZNzy96aKItlaHSCiNOLfZaHeSh8tGwTJCkjFYeun5JkuTMvWRbPXejw5sMj6IVjyKRcy2XHab7UTDOIswTHMEjSjOMTVxccOqbOgVaZmpOH4FtlC9vQ6ZOsPUYW+90F/hsAQ9c4PFomy/Jiwc+eWWbFC7mw5PHwTJXf/Ow52sOIw2Nl3nZ4lJprECYpIyWT1x9ocH45l0P9958+g6ELntjfoOrWEULQ83OZ1BfnemsT4bIM+n6CW3QmtL2IuW5AzTZxLH0DEZXc+Z9dDkmyPCoiZZ5yWRwEZBkcyBwWBwG2qd3TxVXXj0lSCUj6QUzdNXl1YUBSpHOaJRsvynjLoSZJJm+5P8X2ZTsXjt2M7WD33TrxPypuW0KUpvSCmPYw4pX5AS/OdpjthEQZ2EnKs2dXODFRxTJ0Tk7Urqu63utIKRmEyZr4Tc+PqdgGHS+mWTYJohTb0FkeRPSDDsfHK3S9mIZr4Ue5aM7lXkijZNJwDYLIJJY6892I+Z5PL4gp2yaHRktcWPHXwrauqTNSsRACbFPD0jX6QbJh5flEETq2TW2tLXCkWOVrQtDYhfOm00zy8uUeX73U5dzikFcX+8x2fZ4+s5xHThD0goSSaXBkrExc5KcX+xGmLji92OeV+T6tskUYr9DxYgxNo+oYvDLfp+3FTDccbCNPbViGhl2sYvtBjG0IypbOSNWh7pgMouSqVNT+VolXLvcZr9kkaV6lPggSnruwwsW2z2TN5nIvYH+rwldnu0zVcv2Guyk6bJRMlgchhq5RdUyCOOPUfB9jVReibNP1Iw6NVXblZ0GhuB3utrDt14UQFlfayl6WUsabZ9bNmWq4HBur8FzQIYxTBmFKnK0al4tcrAxiLCPjpaynnPg64jTj9OKgyEkLLENjpJIPJ3EtnbNLQwZGQtePOLc8RNNyXe2DrRKTdYckTXl1YUjJDBmv2YSJpFYySTM4PFJmthNScQzmewG9IB8jGieSz7wyT6vqcGS0zPHxK1PkbnbytQztumI1IcSuFuuJ04y2FzHfC4mzjDDJ0IRGkKQEUUazbHJivMpEzSXOcqff9mIudXyaJZO0qESPU4ltaqQSZJbRD2Pm+yF+lLK/5fI1x0YJkgzXNNbqCTpexLlln1RmTNRsKo5B6ZqVdN01eWxfnVfm++ha3oY43wtJ0ozZjk/Hj5lsuHT9kOcvdplpljg8Uubx/Y07fi9mOz6ZzJ25ZWhrIXRD0zjx2BT7WyVMXahZCIo9zV05cSHEu4FfB86SJzb3CyG+T0r56c0zbWNsQ+epI3m4tjJvMNv2WBmGhHHGeM3miX0NkizDEboaOXoNXpQSJxKBoFEy2VcUoHlRwvllLy8OdEzGq3kf/vIgpuNFlG2db3piij98bpbFQYRlaLTKFpN1Bz9OmesEjFZtGiWbxUGurz4IEi6teHzqpUW8OGGiavPYTIPopOTRfTW1eroBjqlTdy3GajZjFZNhnLDsReiaxuumKxwaKfGNj03TLJvITLLQD7nY9pnrBFxqe1iGzqP7GhweLZFJwaWOh6Fp1EsG55bz6vPJqoNrGZTsq51fHnLXqDgWB1ouM808D+5FCZfaPo6ps6/pEkR5p4EAZm2fr852eO5il8V+yLiAhm1wuRsSJhnDIKUXJDc40pysCINfq7aWpBnDMCWTklfm+0RJyuWujyY0hMiLGvdi8dpOURFTPDjuNpz+c8DXSylfBhBCnCDvGX/TZhl2K1pli6eOjHBgpMx8b8hryx6a0Dg8UmF/q8JYNS/MUo7iaqq2QcUx8rax8pUV7aW2T5RkeGFKmOSOvlEyeGiyynw/P4HPdgJaZZvRqkMYJ1Rtg1bZYrEQ0QmijKPjJUqWTs+Pme/6LA8joiRjGCbMZZLxakjHi9ZC+YorXFjx6AcJ4zUb12rRHobM9UPeddJmruOzr1Hi0Zk6xycqxInk/IqHaxlM1h16Xsyz53vsazocHa/w+L4G51c8kiwPiy/0Aw6PVbA0jZGqfd3qNU6zwjHqlGyDkUoevVroBbxwsYuuCUYqNq2yxYW2x8UVD8fUObcy5KW5Pj0/pmwb2IZOpWwyVnFIsoyaY/Dw9I0FlgZhwtmlvHDtyFh5LX8eF5PwyrbOF86u0PPy6XkjFRvL1KnaBtMN9/7+MxSKHcLdOnFz1YEDSClfEUI8sAqyIE45szjEixIOjpRIszzMapuCmZZLs2zy8HRd9YWTtyb1gpjxqk2jZKFp4rqhI5CvAIM4K9qJclEWL0p5/NEmCDi/PKRi6RwZrfDqfI84gdmuj6YJGq7F4iBESnhpboAQsNiPmGq4ZFLmFe1LQyqWwUjZpBtEe26Qya1Y6oc8d6GDpsFiXyeTECT5hZZGHrYerdhMN11KlsFlP6/QlxKm6g6vLQ4ZrVjEqeTIaJlLHZ+oGFKSybxlUNfyUa/rvxdLg5CVYUTNMShZBg9P12iUDBxTJ0xSLnV8bFNnoR9Qtg1OLXT5k5cW6Qdp3n5YtZmvWByfzLsE3nVijCdmmnzqpXmaJZu3HxuhUbpx+mMQ5C11qZR4UbrmxC+seAzDlH4QE6e5YuDphQF/7YkpDKGpHvD7xHYo0lLcOXf7bXhGCPGrwG8Uv/9t4NlbPUkIMQ18FHgYqJCv3D8IpMAzUsp/dDsv3gtiul7M5V5QfPkNxqsWhqbxvW85yMMzd55/240kacZiPwTyYRF112RlGDEMUzQtl65NM8nKMKLuGjTLFo6hEScZg3CYD8/QwNIFZ5eGhInk+GQJxzSQUvDM2Taff22Z6YbLGw40cUyDZS9ipGShafmFwfsfnuTNh1o8fWaZCyteXqRkW1zq+EpRax1tLyKVkjPzHqMVCwS4psGJiSr7mi5Lg+gqB9wsmVxse5i6xoFWieGBlNeWhpQtncm6m88BJ2Oq7rCv4eKuqzZfFfHpBzEfe2EOR9c5PllhquFyamGAZQh6fsz5FY/lfkQ/jBECBJLfeeYSS/1cqrVZNnnXiXEOjVZ470PjxHHGuSWPf/0nr1C2TIJG7oA3+jY2yyaDMEYTgto6x7xaZ27qgrprYuqCI2OVqyJHCoUi526d+A8APwj8MHlO/NPAL93G81aA93FFJOYc8F4pZSCE+C0hxGNSyhdutZO6axImCcvDEEleyPOmAy2mGg5Hx5U2+iqGrlGydbwwpeoYLBb503PLHlMNhyjJC6dWW3Zqrolr6jw0VWWi7uQjH+cHLA9CukGCo2tcboe0hxF+ktIe5tsvtX32N0oEqc9YxWGsavH6A4288tnQi7GlLnGW0R7GTNTsNcnWvY6U+QzvlWFEkOQyqlM1h7AIbx8cKTFZd6k4JnGa0SrSQx0/Xqv47gUJD03W2NfMUxlCCPY3S/RLefvYRrnjz51Z5uzykDDOGKvb+WpdCOa6AZ1hRJBkSPKe/TSTLA0j3GIQTcnWMYvugomaw1+91OETX5mnH0R0w1zO9dBoiVbJYnkQ5l0IZYuVIpWyr1nCtXSOrfu+DsMEy8gvStpeRMUu8/BULgg0WlUOXKG4EXc6T/yAlPK8lDIE/lVxu22klAEQrK4IpJSX1/05IV+R35IgzhhGCV+91GW8bpEkGQuDAF3TiOJ8WMNeJkxSuRXm1wAAIABJREFULrV9TD0fAJPJ3KEv9AI0IViVHzd1jUxCkqbM9QIuFbO7myWTkqXz6VeXmWsHGJqgbOsYmsaKF/KlC/mMcVvXiZJcgW1xENIq5/OuTUO/qj/fNXXKto6GxsNTNUaqNvuaezOnGacZZ5eGpDIf7/rM2WVenOsTpSkN12S+H2IZGt/55P6rPsfXph/Wa8ibuoauiaseo13z+41wTB1dE2tFirah8fzFDh0/5qGpKv1CerdiG+xrlqg4BjNNl/YgJEwlNcfkYtsniBN+99lLnFockKQph0fKHB+r8Lajo7kIUCHO0/Ejel5C24vo+jFPHmqt6eSvDCKWhxFCSEarNrZ+ZWpdWYXPFaiivo2402/Hh4E3Aggh/quU8js2wwghxOPAqJTyr27n8WmacWE5bz+53A3pezGDKCWIBsx2A07u8WK2xX5YaFun1Fxz7WQ+Vs3zovuaLpapUbUNMkkx0jLh1MKQQZSQphlnV3yeO9/h/LJPnKWMVx2qjsmLcx06wxjX1jkyavOQU8O1NI6N1xCaZH+zxMFr2sJcS+fIeJmyZWDoGs2SuSsU1u6GfpAQxBlpJnmp2+PLFzvMtgO8MMEwYKpeZhCma8NENqJVtrAMDb2o1L4bnjzYpOPFWHouypJm+QAaQ9PoBzF+nNJwLXRd45GZ+lUXDueXPbp+ru736sUeF1eGxIVm+btOjvH2o2NMN1xkIYHa8SIcU2MQxUggTiTtYcjpxQGXuyFBnHFiokLbiwniDNvQ0YS4Z9U3hWK3c6dOfH1J65HNMEAI0QL+LfBdG/z9A8AHAA4cOABAq2JzeKzEihcxXXe43PN5ea7PZN1Zm129l6nYBu1hXOSlr5x4RVHhux5d5Ku86UaJ5y52SFL4/Lk2UsK5FZ9eENEsmXnI14sJk4yaazJet/n77zyKrmuEcX6xMF61qTrmDft2J6ouWVGA2NzDF1kV2yBKU7JM0iiZHGyW6fsJI2WD6WaJMMl4eLpK6TZm3ldu4zE3wy5SJ36UYeqCOM2ouwa2ofH4TJ2eHzOMUhol67rpcftbLiORxfmVIRc7Ic2STSZDjo5VecP+Jienapxd8sikpFky6QVFj3/ZYrYb0vYizq/4fPlCl5KVR3ksQ2O8ZhMnxQWMav9WbMBOL8LbzKjCnZ4F5Ab37wohhAH8JvBj14TWr7yIlB8CPgTw5JNPSsir06cbJWzDoGRpVG0TP5E8NFGlbO/NFd56Vk+6tqFh6LfXS1svmYxXHbpFa1icSsqWjms47G85hHHGmaUhfpQyUXP4a49M8fj+fMhFlknOLA04t+wz0+SGXQF5BGBnTxnbDIZhgqXroMNM02GyZjPddDizNKBsmhybqPDmQ61Nea2uF7PiRbRKFvVCCAauFLYJIWi4JlESsTyISLNcya/uWtRdk5lmnpsevUFBmZR5seTFFQ/H0JluuDSLGd8HRipESbb2eu1hjMwEUsIwyphpuPhRih+nueKbn7B/xOX4RBVNQLtoKVMdDArFrblTJ/6EEGJ1coVb3Kf4XUopaxs/FYo2tI8BTwAfJy+IezPwM8Xq7Z9IKZ++lRFplvFXsz0WByETVRsvSmkPI84uDTm1MODJTToJ7lQWegHzvRDH1NYGWNyKim1woFXiT19aoFk2qbomj83UMXSNb35iivYw4ve+eKloRUs53/H4+Fcv85bDLWxDx4/yvu+OF6nWPvLc92tLQ9JMcmikvBby9pOE+V5A24vwo4RDo2XGqy5L/QhdF1i6dk8KZF0v5mLHwzV1BmGCQOBFCaZR5sxiPubgyFiZkmWQZpK5bq62drkXMFKyGSnZTDYcNC2vhN/of9kPExZ6Aa8tewzCmKmGy0zDoVWx2dcqkWWSqhPjRSlBnBJlGZ6XF+Nd6vicmCjTKjuYei6fqwnWjlt9fhSK2+eOnLiU8p6WuYU06/uv2fzP7nQ/uqaRZJKSZaBrgrPLub50mkn8+LZq43Y1/TBXyArijCjNcLRb/9uyYlCJY+o4ps5kzeHw0QoVy6DmmiAEx8YrRGlGL8jzqEGcsjKMODxapu6aeHGiqogL+kFCWGgBd/wI18oL+cIoYxAleGGCrotiAlsuj6pLiO9xkMeKF5FlMN8LWRmG2IbOkbF8NvlqQ8AgTChZBlqhYQ9wZLRM1TFplvN0SKtskWa5oEycZuwvqslXKVk6wzA/xumGS5xKWhWbY+N52+Dq5LN+EHN2yaOua/hRPha46pgcHa/clZ76buFOw6k7PXysuH/syLJP29A4PlFltuMzU7d5daHPZNWhahscGlEh2/GqzeUsF+e43QIyL04xtHyKlkDwhgNNUikJopQkzeexv+d1E7z16AhhnPLKwgDb0GmWLIQQHFDv+1VUbAPL0EizvAod8r7s00tDBNAoW1i6RrNsMVa1CZMMKaF6B5XYQZyia2ItXy2lpOGaDMOEIE6ZqbvEMmOq5mAYGoOwGHNa1CQIITg6loe+HfP6CEDXjxkUkqnLw5B9Vv4/HoQJwzDh9QcaGJpGlKacnKhSc63rCtGqjslELT++Y+Nl+kGCY+l72oErFJvJjnTiQgieOpyHzC+seIxVHL58oYOugR9vrNO8V6g6G49g9aKEtpePdVxfGOWaOo6ls69VYl/TRUCuICYgySSPTNcZrdhrz9nXul71TXEFy9A4OXm1ZkHHi2m6FkGU8uhMfW1GN8DRsQrDKKGxQR64H8T0/Lyyu2zpzHUDVoYRjZLFsfEKmhCcXhyQZpKDIyUmag6XuwEV68pY0WuV+pYHub75+A1kWCFfbZuGIEllHo0hFxA6uzRESihZGo/M1IiSjAzQtVyIqWIZV6VwxmtXBhC51o485SgU25Yd/43KpOT8yjBXIosyfv9Ls/zo11Wvq6bdLfhRyqWOh23kwyiEECz0A4IoY6Ju33KFszpVrONFPDJdX9uua4ITE1WyTKJpgjOLA5b6EacW+tRdk64X83UPT6iT8D3QLFu8dLmPpkHXj4gTF7MQYnEt/bpWsdW8+iCMSVMKKdUUXdOoOQaDMMU2tWIVL4vZ27n4y0zDZaRsXeVMu17Mcxfb1ByT4xOVtf7tNJPXTYuDvP/85EQVKa8MKFnv7FeGMYMwl0Ceadp8xUuYrrtUHeOqCxSFQnH/UiI7/oxctg2mqg6DIMELU4Z+TJJKdmsb8mI/xI8y/CijWbbQhWC+m0urSiQzDZeFQjDkRiM7MykZRsmGbV6rJ+uuH+MY+RzqeslEAkpk7d6o2AZHx8p0vJhzyx5C5HKiG7WKDYK8eGyu0L/vevGaWtpU3QaRS+fWnLzfv2xHJJm8MnP9moLGF+d6zPdCXl0YYGj5CE8pIUozgji9YepFCMH6Rbqu5SF4L0qK6XU+XT+i7urI4gMSpWq4jULxoNixTnwYJsx1fZb7ISmSqbpDJgUHRsu7ekRh1THo+jGmIXAMDQloGmRZPqL1ci+gPcxHuzumfpWDWJ1OJjOo3KQVrx/EBHGKRPKOY6PoWi7Qcju9y3uJKMmY7wVYhsZE7fZm1u9vlUjSIZN1B4GgH8QbOvGKY+BFKYaWh7Srls6yF9IolRmv2kw3Smv/E11wSy36ZsnkK5diojTDj1KOT1bpeBH9IOXUwoCjY5XbEo5xTI0wETRdi0ttn6OjFUxD4/HxCn6cMlJR1eXbkdWVoFI7213s2LPypbbHly50ubjicWllQDdIKNs6j05V1/pgdyPNskXVMdCEWFtpHR+vEqcZtqHx6nwfP0op2TrGNe9Dmkk0IagUK7eNiBPJfC+fSqZrgoenb9o5uGeZ7wV0vPyCqWwbtyW+0g8SWmUTo6hM3ygi4kUJ55Y9kjQjlRlJmiGEoOvHnF4cUnVMbNPY8MKqF8RESa61vvo5OTlVQwrJIMhX3SXLwI9T+kG6tiJ3ubUTn+sGLA8ihMg1CaIkw9AFIxXrntrjFArFnbNjnbipa/T8iMVByKVegCEEti7w4t0f871WwMUyNCSSM0tDkgwy8uKma8OjpWL2dJjkMqobYRq5NGuSSZqqZ3dDVtuzhMgnbt2K5UHIbCdYKz672Xs71/E5szjgUjug5ursa5YYRBGvLmRkfsww2Fia1Y9Szi15QJ57P9Aqr9WInJyo0QsSbCNXSBur2Lm2/m1ora+y+rpSwkzDJc0kJVtXDlyh2AJ2rBPPpCTNMuI0w9EFl8I8xDxV33t9yl6UcGZxyKW2T801qTobt5aN3aKPO0xS5roBmczz6zdz9nudfPWaK9jdTsuUBM63hzx3vsPR8Qrf8sT0DQsF40J85XI3QACGpjFWtRkuJ/lceNfk2GSZmVsMkVkehiz2IYwlJyYqGIWQzHpnbegaM43bH0aTZZIgTun4uT6Amu2tUGwtO/YbOAgThNBwDI2lQUzLNTk0WkZouzcfvhFBnPcYT9QcLENwcKR819X5XT8mjDNc01ibcqW4MYv9EEvX6Xgx+5q3fvxI2WK+k0/bW+zl40dnbuDEvSjFNnQOjZWp2wYLg5AX57oIITg0UqFRMnliX3PD/41r6RwYKRGn+YS5NJPEqWQzWrO9OCWIMxqudcshLQqF4v6zY534kbEKL1zscnpxwDDOB0rUHYvp+t4bcdlwTfziPZiqO7etl34jao7JUj/Pd96J8MheY6EXECYZuoCx2yxqE0Lw6EydL57vUHWNDaMcjqGtjev8ysUury70aZRMmq7FQ0drPDZTv+XFVd01eXi6xnwvwDWvb1+7W/J9aWuOXHH/uFVL0t0O0VAjPXcXO/Ysbeoa+5olpmoufT+hUbZ465HmmijFXkLTxB2FRG+GY+qqkO0WdP2Y+V6IpWuMVi2m7uDC8U2HWpycqlG29I0vtgRM1lyGYUJ7GBFEKZFp8MSJBm87OnLbuWfH1Dk4srn92romODZevfUDFQrFA2HHxp51TdAsm5yYKDNaszg44nJysn7rJyoU90g+pCS/f7O0RRCn64rArkwQq7vmTaMllq4xUbOxNIEGHBgp8XUPT/DO42OqeEyhUFzFjl6JPzRVY6kf8sJsj0udkOcudDg2oVYJivuLa+kcG6+QZHLDtrLL3YD5XoCuwVTdZa4bYBsaR8YqtwyFn1v26AcJC8OI/SNlDF3jfa8bR9uD9R67ia0YYqIGp+x+dqwTBxgEMU+fXuT04pCDrRLz/WCrTVLsEW41WOZi2+Oly31MXXCp7dEqO0iZr87LN+knP7s04PmLXVoVG0vXKLlGUZugVuAKheJ6dqwTn+v6fPS5WU4terlymUx5x7GRrTZLsUfxo3wErmvlc7y9KJ/0JaXECxPOrfi89XCL0k0KzJb6AZ89s0ImM1xL5z0PjZMVk81uZya8QqHYe+xYJ971Y5CShX5IGCVMN2zaw4SlQXhDzXCF4n7RC+I1cZXphsPSIOTckkdnGILIiw5HKiauZdwwp51lkjDJeHW+T7fQ/n/LkcodFcwpFIq9yY514mMVm5Jl4Bgai/2U15Z8nj6zxNHxm+tHKxSbTZTkAz/CJOWFi22+dKGLH8a0/ZQ37KtjmzozjRKNDSRWzywN6foRL17uk0kYq1m4pkaSZvfULqhQKHY/O9aJj1Rs9jUdFnoBfpzQCzVqjkmztPdazBRbS6vQD+94Ma/MdXn27AppJjk8VsW2DJ463GKm4W4YEg8KAZWKbRDEIeeXPM43PaJEqpGeuwBVXKa4Gfc6mGbHXuafnu/zB1+exYtSTF3QcA2+4dFJKo5y4ooHi6YJphsux8crfOFcGy9M0DXBU4cbvPvkGPtbpRs6cCkl870gl2+NMzIpybJ8f+dWPLJ1s1/jNOPs0pALKx6ZUkpTKBQFO3Yl/uWLbZ45t0w/TNAFzNRdSjeQsFQo7gdxmnG5G2DoAtfQeO5ihy+e7+TKeQhMXaNiWxuG0AHOr3i8fLlPGKfUSxaHRiok2YDuMGKkbLG/VaLnR8z3QvpBgqELBIKKbajBNIpNQUUJdj471uu9Oj9gxUtIM0BAkmWcXRwwtUnKZQrFzVjsh3S8mDTLOL/i8elXFpntBmhIZhoO73lonImaQ5Jl6NrVFelBnGIbGgv9kGGY0vUiTF3DcE1cQ6MrJMvDiDOLA84v+6Qyo+5axBmULWPTJFQVCsXOZ8c68SBKIZNkgKUBEjLVhaN4QKz2iSeZXAtvyywDTTDdLBGnEpBY1xSmfeVSh36QMla1GSlbSCnRNBivObS9CCEEc50QL8oYhAkHWiX8MONAy+DgSAnL0O96uI1Codh97Fgn7phiTdKyWTJ44kCTyboam6m4fwzCBF0IXEunVbZwTR1Ny4eNWKbG2aUhWSZZ9mJmOz4HW2X8OF1L87x0ucd/f3kJQxc8Ol3nLYdblG0DTeTh90bJpGRqVBydvh9iGHBmQfLUkRavm6opyVXFhqihJnuXB3pJL4SYFkJ8UQgRCCGMYtsHhRCfEUL8wp3s68KKRwboQKtkcnyiyjBI6Qfx/TBdsUeJk4y+H7PUD3ltcciphQGDMAFyYRfb0Dk+UeWdx8Z43+smeGSmTtnWEULw2srwqjnjXT+mUTIJ4xRJxsIgZKEXAlBxdMZrNrouWBpEXOqGzLYDRqs2pi6UA1coFDfkQa/EV4D3Ab8PIIR4I1CWUn6NEOKXhRBvllJ+4XZ21A/yfLgEekHCq/N9mq5VhDEVinun68d89swyYZzRKhnUS7mIUJLmfeHtYUQmJQL4ymyPsmVQdy0enqzhRSlHxstX6aQfH6sQxRllS6dsGXz5fIdm2aJiG3SGMcvDiOcutpnteqQp2IZGlsmbyrQqFIq9zQM9O0gpAyBYt6p4G/DJ4v4ngbcCt3TiWSaL1UkeSnAsHT9M0DRUn7hiU5BSMt/1GQQx/SDF0ARHxk0MTaPumnT9mIttnzjNc9eDMMELUw6Olnjf6yboBwmNkkmWSRYHIbqWp39qrsmpxQHL5zqUHR3H0pis2VzqRPSDBCHh0EiZQZjy1KEmD03VaN6kwl2hUOxttvoSvwGcLu53gUeufYAQ4gPABwAOHDhQbIOpRpmJ+hAvTKi6FpZlULVvLGupUNwplzo+vSDXP9c1Qb1kUrZM6tdcJGqawNAE03UHU9c4OlbBMjTsovDtcjdgsZ+HzMMkZaEXIIBG2cI2NcYqDuM1mzDN0IXGvqaDbehkZJRMk4pjUHfVhalCobgxW+3EO0CtuF8rfr8KKeWHgA8BPPnkkxJACMH3vHkf3SAmiFKm6g6HR8qghkQoNokwybANnSNjVUpWXhG+fhJo3TU50CqRSknZ0gnT7IYXkevD6ULkt5Ktc3SsTL1kIQT0g5RDI2WmGxkVSw07USgUt89WO/GngX8A/A7wfuDXbveJj+5v8U2PhywMQsI45cRElddN1m79RIXiNpiuuyz2Q6YbDoauoWviutnh61fl9gajSceqNpahYWiCjh9j6Tq6JjgxUcGPU84uefRJyKRkWmkcKBSKO+SBOnEhhAl8DHgC+Djwv5HnyD8DPCel/Pyd7O/oWAXX1LFMnYemqmoFo9g0XEvnwEjphn+TUjIIE1xTv25ASZpJMimv6uVeDYeXLJ2aY2Ab+fOMdUWYhvrsKhSKu+BBF7bF5Cvu9Xzubva12A85tdDnM68ucaBVYqrucHBEDYtQ3H8urPh0/RjTEJycqHJhxacXxLTKFsuDkAsrHiMVm0dn6ldVlgshqK7T9nctnaPjZeJUqry3QqG4K7Y6nH7XDMKEC22fFS9GyiFznUA5ccWmEyUZhiauivKESQpAnEiiJMtn20M+oKTt0fZiTEOn7UW3bA9Tev8KheJe2LFnkPGqjR8mnFsaMqdrvPtktNUmKXYRUkqev9hlcRAyWrEwBHhRxuGxMjNNl+VBRNUx6AYxbS9CIgnjDCnB0jUcQ1OtYYrbYrPV1tRQk53J3X4OdqwT96KEl+Z7XGx7gOS/PnueNxxsMlZV0quKe6ftxVzq+IRxPljnK7NdBkHKmw42efJQi1YlF2lZHXwiANvU6HgxbzhY540HWkrjXKFQ3Hd2rBOf6/i8Mt/Hj1OEzE+6XS9WTlyxKXhhgh8lhHEGAvwow49Tzi0N2dd0sU2NUwsDPn92mdl2QCYl7zw2xmTdZqZRUg5coVA8EHasEz+/7BHGEiHyKWYzTQdBLol5bcWwQnGnLA4CgiTBjzNOjFfoBwlzbR/b0rjY9uiHCZausdSL8KKU8apN2dE50CozWrG32nyFQrFH2LFOPExThMhHPZYsDZnBK4t9Eik5qfrFFfdAz4949lybZ8+2Gana+FHKvqZLzdEZhBmayAvdDF2jVbEo2zojVZu3HG4xVnWUaqBCoXhg7FgnfnKiylTdxY9S6q5FP0qZ74aULZMTE1KdSBV3zMow4sLKkJfmeiz1Q0q2TpxktIcxNddCCI2yrTFasTkxUSGTMF23AQ3LEDTLtvrcKRSKB8qOdeJLg4hG2WQmLqFrMFK2EEgm62olpLhzwiTllct9vni+zcW2zzCMmarbHB2vsDiImev6vOv4GCcmK5iGTq3o95ZSroXWVR5coVA8aHasE5/t+lQdk4uZz3jN5cR4jROTNY6OVbbaNMUOxAsTvnyhzZnFAWkmGa/aPDTd4FCrhKF5HB2tMFl3GKlcXTgphFhz6AqFQvGg2ZFOfBAk9IOUS22fmmMy1XA5MlHmTQdbVw2cUChul4V+iKlrCKBsG5imRt+PsQzBw9NVMgkjVVWwpri/qB5vxZ2yI514x4+o2AYHR8qEScZo2eZNB1pYhgpnKu6O0YqNJqBRsphs2KQpVGyTYZjy5sONrTZPoVAobsiOdOLjVYd9LZc4zZioObz5cJO6UsdS3AMjFZv3PDTB+baHrQscQydIMyXlq1AotjU70olbhsbXHh/jnUdHEUKo6WWKTeHQaJn9rdJaSibNpErPKBSKbc2OdOKQFxTpujrBKjaX9U5bOXCFQrHdEVLKWz9qmyCEWATObbUdd8AosLTVRtwHdtNxvRH44m08bjcd852yV4/9bo/7dj9T99OGB8V2tm832XZQSjl2oz/sKCe+0xBCPCOlfHKr7dhsdutx3Yy9eMyr7NVj3w7HvR1suBnb2b69Ypsq51YoFAqFYoeinLhCoVAoFDsU5cTvLx/aagPuE7v1uG7GXjzmVfbqsW+H494ONtyM7WzfnrBN5cQVCoVCodihqJW4QqFQKBQ7FOXEFQqFQqHYoSgnrlAoFArFDmXHKrZtR4QQbwLeCjSBDvBZKeUzW2vVvSGE0IFv5ZrjAj4spUy20rb7xV485vXsxs/x7bBXj3s3IYQoU/z/pJSDrbbnQaAK2zYJIcQHARv4JNAFasD7gVRK+cNbadu9IIT4DeB54E+4+riekFJ+71badr/Yi8e8ym79HN+K7XLcQohHgZ8uXl8DJPkFxT+VUj7/oOzYwLYfkVL+vBDiCeDfFLYZwE9IKT+zxba9F/hJoFfcakAV+BdSyk9upW1wn987KaW6bcIN+PSdbN8pN+Azd7J9N9z24jGvO8Zd+TneKccNfAaYumbb9Hb47AGfKn5+AjhW3B8F/mIb2PbnQOmabeXtYNv9fu9UOH3zeEYI8SvkV/KrV4LvY/M0lLeKPxBCfBT4M/LjqgNfC/zhVhp1n/nINcdcA94FfGQrjXpA7NbP8a3YTsd97eSd7TKJp1WseFtSylMAUsolIcR2COeGwGPA59ZtewwItsac67hv750Kp28iQog3AG8jd3SrObUvba1V944QYhR4iivH9YyUcnFrrbq/CCHeSX4S6JCHV78AHJFSfu6mT9wFCCGeIndgBpAAUkr5L7fWqvtP8f19K9Ag/7+PSin/+QO24RHgn5PndVfD6cvAT0kpX3iQttzAtn+67tdfkFJ2hBBV4GellP/zVtkFIISYAn4CeJz8fUvJU2I/K6W8tJW2wf1975QT30SKwpi3kX8B2+yCwph1RV5XHRe7uMhLCPFzwDj5iWAE+HtSykUhxKeklO/dWuvuL0KIXy3uRsAYMEu+Mh2XUn5gywy7zwghPkPuMNeveh8Gviql/NqtsUqhuDUqnL5JFIUxFnkx1Ivk4bjvF0L8HbmzC4J+DXgB+G2uLvj5NWC3Fnk9KaV8F4AQ4nHg/xVC/NgW2/SgOLbu2F+QUv7N4v6fbq1Z953fJ1/F/ZqU8s8AhBAfk1J+45ZaVSCE+CdSyv9zq+24EUKIX5BS/sOttuNGbGfbYHPsUyvxTUII8ekbXbFvtH2nIIT4jJTya253+25ACPEXwHuklFHxexP4TXLnPrGlxt1nhBB/IaV8R3H/m6WUf1jc/zMp5bu31Lj7jBDCAv5H8pqP3wZ+YBs58Qkp5fxW26HYfignvkkIIf4VUOL6wphQSvkjW2nbvVCsQN/F9UVen5ZS/uwWmnbfKHLCZ6WUC+u26cB3Sin/89ZZdv8pcrIvSSnTddss4BuklHuhsA8hhAH8D8BJKeVPbMHrb9t+9eLzkUopX1q37S3bqVakaNN7FDgtpfzCVtsDIIT4FuCTUkpv0/etnPjmsa6wbbUw5mnA2C4fpLtlLxd5KRQPku3Sr76BbT8HTJAXO26rWhEhxH+TUn6DEOJHyBdPfwS8A7i0FRdi1yKEmAXOAfPkqZuPSCnbm7FvlRPfJIQQGvBccVvbDPw34Ou2xKhN4CZFXv8F2NVFXgrFFvCmG6Tffl8I8ektseZqtnOtiFX8/DbyVFgG/IoQ4s+30Kb1vCylfI8Q4jDw7eT/0xD4AynlL93LjpUT3zwG5FXb6xHkxTI7me38xVUodhvbqV/9WgwhhCWljKSUzwshvo28VuSRrTYMeFgI8R+Bo+SRDL/Y7mydSdcjpXwN+Dng54QQE8DfuNd9qgEom8eLwLdJKd+77vYetseX714wipwoMpd9/Dbgp9geX1zFDRBCTAghflsIcUYI8awQ4unihIsQ4t1CCCmE+PvrHv+GYts/3mB/HxBCvFTbYSnCAAAIKElEQVTcPl+kVxT3ASnljwL/D3n068ni54eA39pKuwr+EXmqEIAiHPw3gF/cMouu8BZy2dV3kEcNEUJU2D4CTdfpLBSFivesI6JW4pvHN3Hl6m8926K69R5Y/eIuQP7FLYo0vnNLrVLcECGEAD4M/LqU8m8V2w4C37LuYS8A3w2s9oR/D1engdbv75uAfwC8s1CYeiPwYSHEU1LKy/fpMPYs2zwt9wys2bhKBmyHLpUL638pbPTZHrYB/PE17xvk/9d/wT3+X5UT3ySklHMbbN/RgihSys/fYFsK7Ooq7R3Me4FISvkrqxuklOfIhy6sch6oFeG8BeAbgP9vg/39OPBjUsqlYl9fFEL8OvCDwE8KIc4C/wV4T/H4vyWlPCWEGAN+BThQbP8RKeVfCCF+qth2pPj581LKf32Px7yb2M5puVXbBLkwDijbbpf7Zp9y4grF7uIRbi+F87vk0ZQvFY8Pb7K/Z6/Z9gzwfet+70kpnxJC/B3g58mjUr8AfFBK+edCiAPAx4HXFY9/iNzpV4GXhRC/LKWMb8PmvcBqWq67fqMQ4o+3yJ71KNvunvtmn3LiCsUuRgjxi8A7yVfnb173p98hX0E/BPwn4O13sluurCYonr/684PF/feTFxutPqZWaEUD/JGUMgRCIcQCedvSxTt4/d3Mdk7LKdvunvtmnypse0AIIUaEEF8ubpeFEJfW/W7deg9r+/lNIcS33uFr/8C6wqTPCSHu5ISt2Fl8FXjj6i9Syh8kr24eW/+gIp8dk+fj/uQm+/sr4E3XbHtjsX1tdze4rwFvk1K+vrjNSCn7xd/Wr/pT1GJiDSnl3KpS4DXbtzwtp2y7e+6nfcqJPyCklMurJzTyXOEH153grvvnbhaFw/9+4O1SyofIc5n/uchZKnYfnwIcIcQPrNtW2uCx/wfw4+vV2W7A/wX8jBBiBEAI8Xrg7wLre1u/e93Pp4v7nwB+aPUBxfMUCsUmo5z4NkAI8X1F686XhRC/JITQhBCGEOI3hBAvCCG+IoS4Tq1JCPHPhBBfKP7+K2Jd7HIdPw78YynlCkAh3/hbwP9S7OOiEOJfFq//OSHEkWL7hBDi94QQzxR/e2ux/aeFEL8qhPjvRQvTD96v90Vx58hcgvFbgXcJIV4TQnwe+HXyz8G1j/1LKeWHb7G/jwD/AfhLIcRLwL8DvveaQk5bCPE54B+SdzMA/DDwpBDieSHEXwFbOqpSoditKNnVLaCo0B1IKf9vkev8/jTwN6WUiRDiQ+Q65afJZwh/Y/Gchsxn0P4m8LtSyg8LIVpSypXCef828B+llB+75rW6wLSUcrhu23cA3y2l/C4hxEXg30gpf0YI8feAb5FSfqvIFdk+KKX8rBDiEPBRKeWjQoifJtdOfx9569mL5GMqb7aaU+xSiur0J1er1xW7ByFESt6OuMq3SinP3uW+fo38HPK712wXwP9OXigpgUvAD0kpv3o3r7MXUbmoref9wJvJlZoAXPKex48DJ4UQv0De/vOJGzz3fSJXT3OAUfIq4o/d4HHXslFh0m9xRZTg/cXrrz6mKYRwi/sfLVIAC0KIFfJ8q+oZVih2F36R/rsjhBDGHeR6f5C8qPIJKaUnhPh64CNCiEeklMGdvvZeRDnxrUcA/0FK+ZPX/SGXOf1G8tDkdwAfWPe3EvBvgTdKKS8VK+QbSQy+SF6YtF57+WaFSevteurafH3h1FVhkgIAKeWhrbZB8eAQQjjAL5OrySXAj0op/1QI8XeBv05+DioLId5Hrk3wXuA18vPJjfhx4N2r072klJ8QQvwl8LeBXxVCDMgV7N4DtIHvKWY3HCVXihsDPOB/klK+VKz4e4V9k8D/eu3qf7ehcuJbzyeB7/r/27ufEJvCMI7j3x9JjJSymZKFxVCSsJOUslQSijGFhZXsFIspf5ZjN/Jna8NCzdgTEWWBzZWikI0UisksJB6L55yZ43buDFncOXd+n9U9c+5775m65773fd/nfR5JK2Eqin11EXimiLgJnKEScVxYQmZL+lRs3dnb4fVHgBFlTWyKjFtD5I1YKgOTDgKPKtc1td7twCSzeWdJZQfNePG34wARsYH8vrhWdOyQFRwPFxXN9gBryeqHx6jZwihpOdAXEa/bTj1hOq1zH/AsIjYD98nvQshUtCciYgtwkj8DLfvJbZW7qEl32ms8guqyiGhJOgfcUabl+0EGAf0kf4mWU9+n2tp9VmbOek6WuKstCxoRY5L6gceSgvyVOhiVWtnA0iIAKsgbE/JmvSLpKPk5uUelUzeznlc3nb6NIvtfMfJ9BwwU526XAbTAduBGESvzXtLdf3jf6nLfLzKfAWSxlTFlTvStZDGmss3iSvtbRRWzF8qshD3NnXgXRMTZtuPrZGBau001bYcqj08Ds9bKjYhLzFykYDQizre1+Qjsq3mt4bbjdbO9v5n1jE7T4gCTbcczRk1HxISkSUlrIuJN5VQ56q5tRs4gf5lhvb663DfT9fYET6ebmdnfekCuVyNpgMx//7LD8w5IWljMBO6oeQ7ABWC0DJqVtJMc7ZeDmgVMDyYGgYcRMQG8lbS/aCNJG//7P2soj8TnuYhY1e1rMLPGuAxcldQiA9uORMT3mhQV42RQWwt4ReeR9UVgBdAqtrR9AHZHRJmidBJYL+kp8JXp+J1D5HLfMLCILMhUW4mv13mfuJmZzUmSvkXEsm5fx1zm6XQzM7OG8kjczMysoTwSNzMzayh34mZmZg3lTtzMzKyh3ImbmZk1lDtxMzOzhnInbmZm1lC/AW5HhFzJkDIRAAAAAElFTkSuQmCC\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# Vous pouvez utiliser un point-virgule pour supprimer l'impression des axes\n", + "scatter_matrix(car_comp,figsize=(8,8),alpha=0.2,hist_kwds={'bins':50});" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "_____\n", + "### Bonus: Tâche de visualisation ! (C'est difficile !)\n", + "**Créons maintenant un graphique en chandelier! Regardez la vidéo si vous ne parvenez pas à recréer cette visualisation, il y a plusieurs étapes à suivre! Référez-vous à la vidéo pour comprendre comment interpréter et lire ce graphique. Conseils: https://matplotlib.org/examples/pylab_examples/finance_demo.html**\n", + "\n", + "**Créer un graphique de chandeliers pour Ford en janvier 2012 (trop de dates, ce ne sera pas idéal pour un graphique de chandeliers)**" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [], + "source": [ + "# Code ici" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# from mpl_finance import candlestick_ohlc\n", + "# Maj mpl_finance devient mplfinance - pip install --upgrade mplfinance \n", + "from mplfinance.original_flavor import candlestick_ohlc\n", + "\n", + "from matplotlib.dates import DateFormatter, date2num, WeekdayLocator, DayLocator, MONDAY\n", + "\n", + "# Réinitialiser l'index pour obtenir une colonne des dates de janvier\n", + "ford_reset = ford.loc['2012-01':'2012-01'].reset_index()\n", + "\n", + "# Créer une nouvelle colonne de valeurs numériques de \"date\" à utiliser par matplotlib\n", + "ford_reset['date_ax'] = ford_reset['Date'].apply(lambda date: date2num(date))\n", + "ford_values = [tuple(vals) for vals in ford_reset[['date_ax', 'Open', 'High', 'Low', 'Close']].values]\n", + "\n", + "mondays = WeekdayLocator(MONDAY) # major ticks on the mondays\n", + "alldays = DayLocator() # minor ticks on the days\n", + "weekFormatter = DateFormatter('%b %d') # e.g., Jan 12\n", + "dayFormatter = DateFormatter('%d') # e.g., 12\n", + "\n", + "# Tracé\n", + "fig, ax = plt.subplots()\n", + "fig.subplots_adjust(bottom=0.2)\n", + "ax.xaxis.set_major_locator(mondays)\n", + "ax.xaxis.set_minor_locator(alldays)\n", + "ax.xaxis.set_major_formatter(weekFormatter)\n", + "\n", + "candlestick_ohlc(ax, ford_values, width=0.6, colorup='g',colordown='r');" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "____\n", + "# Partie 3: Analyse financière de base\n", + "\n", + "Il est maintenant temps de se concentrer sur quelques calculs financiers clés. Cela vous servira de transition vers la deuxième moitié du cours. Vous n'avez qu'à suivre les instructions, il s'agira principalement d'un exercice de conversion d'une équation ou d'un concept mathématique en code à l'aide de python et pandas, ce que nous ferons souvent lorsque nous travaillerons avec des données quantitatives! Si vous vous sentez perdu dans cette section, ne vous inquiétez pas! Allez simplement au notebook (ou vidéo) sur les solutions et traitez-la comme une revue de code, utilisez le style d'apprentissage qui vous convient le mieux!\n", + "\n", + "Commençons !\n", + "____" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Rendement quotidien en pourcentage\n", + "Nous commencerons par calculer la rendement quotidienne en pourcentage. Le rendement (en %) est défini par la formule suivante :" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "$ r_t = \\frac{p_t}{p_{t-1}} -1$" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Cela définit r_t (rendement à l'instant t) comme étant égal au prix à l'instant t divisé par le prix à l'instant t-1 (la veille) moins 1. En gros, cela vous informe simplement de votre pourcentage de gain (ou de perte) si vous avez acheté l'action le jour et l'avez ensuite vendue le lendemain. Bien que cela ne soit pas nécessairement utile pour tenter de prédire les valeurs futures du titre, c'est très utile pour analyser la volatilité du titre. Si les rendements quotidiens ont une large distribution, le titre est plus volatil d'un jour à l'autre. Calculons les pourcentages de rendement, puis traçons un histogramme et décidons quel titre est le plus stable!" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Créez une nouvelle colonne pour chaque dataframe appelée 'returns'. Cette colonne sera calculée à partir de la colonne de prix à la fermeture'Close'. Il y a deux façons de faire cela, soit un simple calcul en utilisant la méthode .shift() qui suit la formule ci-dessus, ou vous pouvez aussi utiliser la méthode pct_change intégrée à pandas.**" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [], + "source": [ + "# Méthode 1: en utilisant shift\n", + "tesla['returns'] = (tesla['Close'] / tesla['Close'].shift(1) ) - 1" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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HighLowOpenCloseVolumeAdj CloseTotal Tradedreturns
Date
2012-01-0329.50000027.65000028.94000128.08000092810028.0800002.685921e+07NaN
2012-01-0428.67000027.50000028.20999927.70999963010027.7099991.777512e+07-0.013177
2012-01-0527.93000026.85000027.76000027.120001100550027.1200012.791268e+07-0.021292
2012-01-0627.79000126.41000027.20000126.91000098630026.9100002.682736e+07-0.007743
2012-01-0927.49000026.12000127.00000027.25000089700027.2500002.421900e+070.012635
\n", + "
" + ], + "text/plain": [ + " High Low Open Close Volume Adj Close \\\n", + "Date \n", + "2012-01-03 29.500000 27.650000 28.940001 28.080000 928100 28.080000 \n", + "2012-01-04 28.670000 27.500000 28.209999 27.709999 630100 27.709999 \n", + "2012-01-05 27.930000 26.850000 27.760000 27.120001 1005500 27.120001 \n", + "2012-01-06 27.790001 26.410000 27.200001 26.910000 986300 26.910000 \n", + "2012-01-09 27.490000 26.120001 27.000000 27.250000 897000 27.250000 \n", + "\n", + " Total Traded returns \n", + "Date \n", + "2012-01-03 2.685921e+07 NaN \n", + "2012-01-04 1.777512e+07 -0.013177 \n", + "2012-01-05 2.791268e+07 -0.021292 \n", + "2012-01-06 2.682736e+07 -0.007743 \n", + "2012-01-09 2.421900e+07 0.012635 " + ] + }, + "execution_count": 32, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "tesla.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": {}, + "outputs": [], + "source": [ + "# méthode 2: en utilisant pct_change\n", + "tesla['returns'] = tesla['Close'].pct_change(1)" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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HighLowOpenCloseVolumeAdj CloseTotal Tradedreturns
Date
2012-01-0329.50000027.65000028.94000128.08000092810028.0800002.685921e+07NaN
2012-01-0428.67000027.50000028.20999927.70999963010027.7099991.777512e+07-0.013177
2012-01-0527.93000026.85000027.76000027.120001100550027.1200012.791268e+07-0.021292
2012-01-0627.79000126.41000027.20000126.91000098630026.9100002.682736e+07-0.007743
2012-01-0927.49000026.12000127.00000027.25000089700027.2500002.421900e+070.012635
\n", + "
" + ], + "text/plain": [ + " High Low Open Close Volume Adj Close \\\n", + "Date \n", + "2012-01-03 29.500000 27.650000 28.940001 28.080000 928100 28.080000 \n", + "2012-01-04 28.670000 27.500000 28.209999 27.709999 630100 27.709999 \n", + "2012-01-05 27.930000 26.850000 27.760000 27.120001 1005500 27.120001 \n", + "2012-01-06 27.790001 26.410000 27.200001 26.910000 986300 26.910000 \n", + "2012-01-09 27.490000 26.120001 27.000000 27.250000 897000 27.250000 \n", + "\n", + " Total Traded returns \n", + "Date \n", + "2012-01-03 2.685921e+07 NaN \n", + "2012-01-04 1.777512e+07 -0.013177 \n", + "2012-01-05 2.791268e+07 -0.021292 \n", + "2012-01-06 2.682736e+07 -0.007743 \n", + "2012-01-09 2.421900e+07 0.012635 " + ] + }, + "execution_count": 34, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "tesla.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": {}, + "outputs": [], + "source": [ + "# répéter pour les autres dataframes\n", + "ford['returns'] = ford['Close'].pct_change(1)\n", + "gm['returns'] = gm['Close'].pct_change(1)" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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HighLowOpenCloseVolumeAdj CloseTotal Tradedreturns
Date
2012-01-0311.2510.9911.0011.1345709900.07.6871185.028089e+08NaN
2012-01-0411.5311.0711.1511.3079725200.07.8045308.889359e+080.015274
2012-01-0511.6311.2411.3311.5967877500.08.0048247.690521e+080.025664
2012-01-0611.8011.5211.7411.7159840700.08.0877037.025298e+080.010354
2012-01-0911.9511.7011.8311.8053981500.08.1498626.386011e+080.007686
\n", + "
" + ], + "text/plain": [ + " High Low Open Close Volume Adj Close Total Traded \\\n", + "Date \n", + "2012-01-03 11.25 10.99 11.00 11.13 45709900.0 7.687118 5.028089e+08 \n", + "2012-01-04 11.53 11.07 11.15 11.30 79725200.0 7.804530 8.889359e+08 \n", + "2012-01-05 11.63 11.24 11.33 11.59 67877500.0 8.004824 7.690521e+08 \n", + "2012-01-06 11.80 11.52 11.74 11.71 59840700.0 8.087703 7.025298e+08 \n", + "2012-01-09 11.95 11.70 11.83 11.80 53981500.0 8.149862 6.386011e+08 \n", + "\n", + " returns \n", + "Date \n", + "2012-01-03 NaN \n", + "2012-01-04 0.015274 \n", + "2012-01-05 0.025664 \n", + "2012-01-06 0.010354 \n", + "2012-01-09 0.007686 " + ] + }, + "execution_count": 36, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "ford.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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HighLowOpenCloseVolumeAdj CloseTotal TradedMA50MA200returns
Date
2012-01-0321.18000020.75000020.83000021.0499999321300.016.1033521.941627e+08NaNNaNNaN
2012-01-0421.37000120.75000021.04999921.1500007856700.016.1798531.653835e+08NaNNaN0.004751
2012-01-0522.29000120.95999921.10000022.17000017880600.016.9601613.772807e+08NaNNaN0.048227
2012-01-0623.03000122.24000022.26000022.92000018234500.017.5339154.059000e+08NaNNaN0.033829
2012-01-0923.43000022.70000123.20000122.84000012084500.017.4727122.803604e+08NaNNaN-0.003490
\n", + "
" + ], + "text/plain": [ + " High Low Open Close Volume Adj Close \\\n", + "Date \n", + "2012-01-03 21.180000 20.750000 20.830000 21.049999 9321300.0 16.103352 \n", + "2012-01-04 21.370001 20.750000 21.049999 21.150000 7856700.0 16.179853 \n", + "2012-01-05 22.290001 20.959999 21.100000 22.170000 17880600.0 16.960161 \n", + "2012-01-06 23.030001 22.240000 22.260000 22.920000 18234500.0 17.533915 \n", + "2012-01-09 23.430000 22.700001 23.200001 22.840000 12084500.0 17.472712 \n", + "\n", + " Total Traded MA50 MA200 returns \n", + "Date \n", + "2012-01-03 1.941627e+08 NaN NaN NaN \n", + "2012-01-04 1.653835e+08 NaN NaN 0.004751 \n", + "2012-01-05 3.772807e+08 NaN NaN 0.048227 \n", + "2012-01-06 4.059000e+08 NaN NaN 0.033829 \n", + "2012-01-09 2.803604e+08 NaN NaN -0.003490 " + ] + }, + "execution_count": 37, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "gm.head()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Maintenant, tracez un histogramme des rendements de chaque entreprise. Soit vous les faites séparément, soit vous les empilez les uns sur les autres. Quelle est l'action la plus \"volatile\"? (selon la variance des rendements quotidiens, nous discuterons de la volatilité de façon beaucoup plus détaillée dans les prochaines sections).**" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 38, + "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": [ + "tesla['returns'].hist(bins=100,label='Tesla',figsize=(10,8),alpha=0.5)\n", + "gm['returns'].hist(bins=100,label='GM',alpha=0.5)\n", + "ford['returns'].hist(bins=100,label='Ford',alpha=0.5)\n", + "plt.legend()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Essayez aussi de tracer un KDE au lieu dun 'histogrammes pour avoir un autre point de vue. Quelle action a le tracé le plus large?**" + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 42, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "tesla['returns'].plot(kind='kde',label='Tesla',figsize=(12,6))\n", + "gm['returns'].plot(kind='kde',label='GM')\n", + "ford['returns'].plot(kind='kde',label='Ford')\n", + "plt.legend()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Essayez aussi de créer des diagrammes en boîtes comparant les rendements.**" + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 43, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "box_df = pd.concat([tesla['returns'],gm['returns'],ford['returns']],axis=1)\n", + "box_df.columns = ['Tesla Returns',' GM Returns','Ford Returns']\n", + "box_df.plot(kind='box',figsize=(8,11),colormap='jet')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Comparaison des rendements quotidiens entre les actions\n", + "\n", + "**Créez un graphique matriciel de dispersion pour voir la corrélation entre les rendements quotidiens de chaque titre. Cela permet de répondre à la question de savoir dans quelle mesure les sociétés automobiles sont liées entre elles. Le marché considère-t-il Tesla comme une entreprise de technologie plutôt que comme une entreprise automobile ?**" + ] + }, + { + "cell_type": "code", + "execution_count": 44, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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fr9Y+SqlJGlFGR9Yqm/4N8MOUDsAy8Mlq7XuAxWrtD4BvF5HPAOeAZa31V0TkRRH5LPBitbYqIv+RMlr1x9VaISIfB34T+DLw6v1mo4i0gb8FPAHMA5+g7OdkMBj2iVKar14esDpOeHyuycnZBo5t0QocRnH+pvlIWmtE5LrDI5O8IC80Dd9huuFtpR+mGx7DOOP8WjmB+8R0nc4+Zy9Z2weoPvgzKw13gM196NpCw7eZJAVN32UUZ9Rdm/VJSqE1C60AyxKagcN82ydMCw51AtJc8drKmEsbEb5j8cRCk2NTZUHA5hYTefi3255OUBWx+HGt9Xfd4vG/CPwg8KuUwupf2HZfT0SOUTpAAwCt9ReBZ0TkCeBHqrVXgT9f6Wd+tirTXwa+p0o7/QfgrC5jxD9Q2fxLwJeqVNSPVu/lE5TRErTWHwc+LiL/BPitau2TwCdF5G8Az1VrvwH8hoh8K/De+9BGBYRa61REBkDjZn9BBsNBJy0UZ9cnaAWvLo+20mEnZxtbJ5pNLvZC+mHGTNPjSLf2pmMlecGZ5TGqOvksdIIdlWZZfvXaL8xyVlcScqU4MV2n7l3/z3HTd3hktk5e6Ls69d7wYDCKM86vh7i2xWNzDR6ZaSBoXludsDpKKJTCtsoEiy3CfDsAYKH6H8ookNKaKC2wRRjFV6OTJ6br9KOMpu/sGukcRBmXNyLqns0jM/Ud35EHjT2doCoakopIuxqdcVNorf9URGIR+RylruaCiHxMa/0TwD+mjKgIZbQEEfkYpbO0Tuk8ISJ/G/gBIKRyOkTkQ8A/pGzg+BGttRaRbwJ+hrKb9U9rrUMROQr8IqWz8O+11pdExAJ+r3ruZ7TWf1Qd89coU14vAD9Wrf0c5ZiQ85Qi6fvKRq21EpHfFZEvAjalQNuwje0DUg2G3Qhcm9mGxyDKWWjvnMx97R/3flVdsxGmuzpBWaEplOZyP2R1mGBZwlzr6jGnGx650mgNvmOxNio1HL1JuqcTBGylMgyGQZShdZkKuzKMGYQZtgVJVjo/ivKEAFxX5B+49lbkx7Zkh4Pk2Baze0yp701SCqUZxTlxpqh5D27JvtxIZCciv0ypafldYLK5rrX+B3fXNMPd4PTp0/rZZ5+912a8ZdyME2SmyN8ap0+f5kHfU3mhmKQFTd+5bppLa82XL/RZHSW8/UiLE9O7B14v9Ca8ujRmpuHRqrnMtfxdr5qzQvHG6oRcKR6ZadD099u27eHmYdhPd5swzbnQKyNBjiUMozKK0627pQYNzTDO6Na8W+55pbXmYi9inOQc6QZ0t42N35ikXO5HBK7NqdnGnrq4+wEReU5rfXq3+/bzrfs0Vyu8DAaD4aHDsS06tb3rREZJjmtbHOnWkD2UEiemG1giTJKC+bbP2ijZ9arZtS3edqh1R9+H4WBQ9xyeOlTKbaO0IM1Lh+hot4ZlCS9eHoAWhvGt9wVKcsWg6km0Nk53OEFTDY+phne9pz5Q3NAJ0lr//FthiMFgMNzP1Fwb2xIKpWkFO/90KqVZmyR4tkW37m2lGQCKQhOmETXP3rOc3mC4WdbHCRp4fL65I3Xb9EtRf8u/9RSq71g0fJswLR5qHdoNnSAROcMuU+O11k/eFYsMBoPhLrI2TuiHGXNNn07dJckLVoYJvmsx3wp2PHYQlbObpuou3brHU4daFFpv6Sy01vQmKWvjhDQv/0w6trUjtXUzV82DMCPMcmabvhnmegCJs4LFfoTnlFGdvQTHS8OIFy4O8GyLQ52Ahu+w0A7wHItHZupl6XuhyAp13b20134TEU7NNe/o+7sf2U86bPuIjAD4q2xrbmgwGAwPClprrvTLRnGLg4hO3WV5kGyF/Zu+s0OgfHkjolCaSZLTrXtYlmBtS4WtjhOWBwnrk4Saa1P3HG5VHpHkBefXJ2yEGYtBxJ85PnXfay0Md5bVUcIkKZgkBZ2aS2sPMXxvnDJJCtazlFzpLWHz8ek6SsOljQitYRTnPLaLM5PkBRd6ZbuGNC91abdKlBb0wpRW4DxwAv79TJFf3vbvvNb6Zyib+hkMBsMDhYgwSjIubkwQKUuNdRXotixwrJ1/EuuVfufaLr2jOGN9nKCqwpLphsfhbo2Ts2Wpe6H0jvEEWmsGYbbVpG43LBFGSU5vkrIxyVg308MPHI0qgrgpzh/toekpHZwUzxFmqkij7+5yStflXry2CMoSYTPQtL0YYBBlhOnNNfO8uBHSG6dcWA9RD1hzxf2kw9617UeLctSDiQQZDIYHjjgraHoOvm0zjnPOrYWIwOFuQDtw8bZpdpK8KHURHZ+Zhr/jGOfWQiZJTqfmcKQb4FjWVuNDpTSvrYxJc4VtCbYFK6OENFPYFrzjaIe5a9JuUAqln1wor9ibvoNrmyjQQWO64dH0HbJCcXZtgtZwqBPsaLMAZSrspStDQJht+ZyYKSfLb3eiHptr8sLlPmdWQ1ZHKYe7wY5oj2tbPD7fJErLqBOUkailQYzSmm69jERN75HKXRsnJNt6X9nWVcfqQWE/6bD/a9vtHDhLOSzUYDAYHig82yLwbCRTWxGgzZ493jWi5Yu9kGGU49iywwnSuhx9cWUQM8kc5trBjs7PmVKk1YnhfG9C03M4szIiLzQ116EZuHRq3pteD2CuFVD3HDSYkvkDiudYxHk5bgXKVgrXcnkjJskVvUnCqbkG7Zr7Jk3PKCkbGl7eiMlzdh28Grj2jihnrsrX2pikRFmxtf93S3FNknwrtdyuOSy0Auq+/cA1TtzPt+wHtNbnty+IyIm7ZI/BYDDsitaajTDDc6xbdhAsS3hivkmuNAJcGcQMopT1cYprWztOCP2wnNfluxanZhoogcCxyJXiaDcgKQq6NY+icno2nRrfsZlv+0ySnJMzDfqTjEPtgHGa0/AcPMfa82q54TsopRlEGTXX3tVZMjzctAOXhY5PVmg8uyx1bwcueaEIs4JuzaXp2xTKZ77pY4lwsdL3HO4EOLaFI4JnCzXPxrHLSfRFociUwq0aKl7rOM23AgTBc2RL6G9dZ7NuRn20Lp2p/Y6Aud/Yz1+SXwfec83af95lzWAwGO4aS8N4q8PyEwvNXadp7wcRwbHKERmro5RcKbQWLEk4MXO1tL1bc4lbBWjNKytjwiRncRDiWjbdustj800sEa70Y5YGCVN1b+v5myLVQmleXRpiW8Jxz2IQ5fsaSHlpI2IQZdiW8NShlhFIH0DmWwFr44Qr/ZisUJyarbM8SklzRd2zOdypUXczPv/6GmdWxyy0A3ynbMMw3y6bG7YDh8sbEWujhNdXRnxtsc8kKR2pdxxuc3K2sSPdZVvCoU7AoU5AP0yxLbnuBUfg2jw+3yQt1AMnht7OdZ0gEXmSckp6R0T+4ra72pRVYgbDQ8X27tKme/T9x3bfQWl9NVri2TftEE2SnJevlCkq0Mw0/K0mhiujuKzOqbtc6keEac75XsRry2MQRZZrAs8mzQuOTTc4uxaitOJQJ9jhRGmtWRpE9CpB9PpEcWyqjtZl40TPFixLtqrR4qxgnORbuozphgeqfK/WQz/G8mCS5oorgwjHtpiuu8SZolNzt5xepTW9MOFyL+Lc2phu3WOuFVBoTd2z+cLra1uanNdXxsy2fEZxnYsbIUc6NUQsepOUxX5MWhS0g7IUfmOcsDKKmWp42CKsjRNmmx6dbQ0RW4HLOMnJC4Wzx+iNwLWJ0gKRNxcQPAjsFQl6B/CXgS5lWfwmI6qZWQaDwfBWcagd4FqC75Sl6JvDTEXgqUOt6/6h3o1ClTqGpX7M8ek6j883qHkOSV6wPEiA8gQ02/SJUocvX+gzjDI0CtexmPZ8emHGfFuRZDnPX+pzcrZJp+Yx0/Ro+Q69MGVjnHJ2bQJojnRrWBYsDWIWBxECzDR9HEuwbaEoypL7zTLjwLU41K7d5PvSrIxibEve1PPIcP+xOk4YVtHBi72QhufQm6Q0fIe6bzPX9LngOVXqycISoenb+K7F58+sEiYFSa4YuTl132Z1FDOMUlzbZjhXVjAOooxHZ2tM1QLe80iHC72IMMvJC80kzvjKhQ3OrIw41K7xfe89ju+Ujsz59QmTpMBz9u5sPggzLvTKAoNHZxtb4uwHhetaq7X+deDXReT9Wus/fAttMhgMhjdhW1enYQM70ko3W5XbrjnMtQIu9MJyBpMjPHWojedYuI6Q5boq9dWA4ni3RpQW1FyPdx5tAcLRqRqOLSwPYzp1j9VRzHPne3TrHk7VWbo3Sbi8EeHaNmmmeefhDmeWx5VDBa5j4dk2SmscS2j5DrlSzDQ8Ts01rzvH7HqsjhIu9SLCtMA6KnsOwTTce+quTY9y1tdmNeBiP6Jb95AxvO1Qi6cOtcqIjNIcm65xcrbBpY0I17HJteZox+fUfIvXVscsDRJKn1noT1I812Kq7hF4Du95pEuUlfPx3n2sS5gWvLw05POvrbMyTJhthTzz1BzHq5l4SaaIshyw0VpvCZ611qxPUmwRphoecV5U62Vkq7HLlhtEGZ5t3ZeDVvfjsi2JyO8Ah7TW765K5j+ktf7Ju2ybwWB4yNnskOvaFsem9u6Qey1Hp2pc3oiwLK5bTq615tx6SJQWHJ2q0amV4lINTNddOoHHpY0Qe7WM0IRpQcN3eHK+wesrY1ZGCcena7z31DTNwGW64XJ8psGJ6Tqvr4z50tl1epOEcVowVffIteL82oRBnDLb8Hh9NaTh2WSFphU0WJ8keI5Ft+4w0/RZaAdEaYElQiNwcKu0yOV+zIVeyInpMn12oReiNJyYru8plLYsuNwvm+QtDSLjBN1HbO7FcZzRqbkc6tSYanjUvHIcS5gWRGlB3bMIU4VIKUpeG6fUPJv1UYwjgogw1/I5MV1DK83Rrs+ZlQmrw4g0L9gIE7o1j7mmuzVk1bbgc2fWaAUOnm0z2/bQqpxB5jtCO3CYa/oEVRToYi/kjfUJSZrvmC4PVxuEAth26WhnhUKAYZyxNk44NlW/ml4exiwPE0TK8R73W8psP07QvwX+V66Wyn8V+GXAOEEGg+G2WBuXHXKhoF1zt/qV3Aityy7OZTM5wbFijnRrb3pclBWM47LxW2+S4tkWrywNiTPFkwtNHp1rcGUQ8uLigHGcM9/2OdKt8+JiQW+c8urymEmS4zk2p+YadGoeh7sBjiVkhWYwSRnGOSLwtvkWw+qxSa55bWXClUHM4U6NbsNjuukyiDOmah513+Ybjra53I+ZJDm+Y1F3bWabPsujeKtZ3TDKUFpXnxFshOmbTkqbKKVpB2XfolKf8WClJR4mCqXJCrXjhL+5Fy9uRCz2Y8Ks4KlD7a3HdGoWnZpLmDp89fKAvFCsjGJWhgkXeiFXBjGpgk4leG75Lg3f4ex6yEaY0g9zVsYJtiU0PIcoU0zVXBb7IVGSExeKlSGEWcGjsw3e++gMWaF597Ep0rzgvY/OMNcOGEZlaf2Vfsg4ynFsi8VBzHzLJ8nLSkilddlskTJC2wpczq6O6YcZM02ftXGyNb0+V1dbUeT3YSPF/XxLGlrrL2wLhWkRufXRtAaDwVDR9B02JmUVVO0mrhDPrYesjxPWRilHp2rXrbgKHJuaZxNn5RDIcVzqFwoFji08tdDiN19Y5NzaBBvBtoQTMw2OT9dZHSXUfIvVccyZ5RGPzNQ53AkQyqvhhmejgazQDKOMM2sj5lsB/SihKBT9MCVwbFxbmGu6nF2dEOeKpw+3OdTxeX11wktXhgzjnFGU8o0npkBAEN5YneDawqOzDQoFr62MKLSmW5/e9X0qpXltdUySKeZb5Ryp7j5KlvNCYYmY6rM7SF4ozqyMyQvNQsff0mZt7kWlNd2aS17oHWmmNCt4Y23C2jghShTjNOfi+grNwOXKICLJFGvDhNdWRmyEGZd6Ib1JSqHLai+Aty00SQvNXNOjU/P4k3M9QFibJORKo7QiyTW2Jbzn+BSHuwGzLQ+ly1Tb515d5cXLfV5fmRDlBe3A5anDbdJccWZ5zOooIVMF7cDjifnm1liPlWEMCKM4p1N3dwwYXmiXTrlr33pri7vJfixaF5FHqYaoisj3AEt31SqDwXAg6NY96pXw82b0L2GaY1d9UGaa7nVFwJYlnJptkOSKwBtNNxgAACAASURBVLXICk3dc1gbJQyjlOcv9xmnOaMkx7YsvnEq4JHpGhvjhH5UprQcsVkbxbyxOua/PL9IoTSn5hoM4pzlfsQwztgIM/74jR6PzNR5fL7JVN1FREgLxSDOeHlpRG+S8eh0jScWWjQCh0u9iGGUsTKMyQs4uzrhsbkGGjg500BpTZYr1sYJSoOFMIyujjPY7BnT9BwypUiyskqo0PpNHYZ3ox+mXOxFOLbw+Hzzpge25oXiQi9EA8en9k7T3eg4pfD34XDE0kKRF5okL6OJm3vTssrP+Wi3xkaY0qm5W+95Eud85dIGK8OE+VZAlOcIsDZJONcLsYH5dkCS5fzJ2XUWhwlxkpEqyPKCJCtTqidn6sx1fDo1jxcu9BmEKaujhF6Y4joW8y2fZuAQpjlvrI1xKz3abMvn5aURr6+O+Pzr61hAq+Zyaq7ch0orCqXLsS+iqbn2Dn1PM3CIM8VTh1ucnKnj2BYXeyFxVnCkW+Nw581R2rvJXkNjr2U/TtCPAD8PPCUi54ErwF+7dfMMBoPhKrdy8jzcCXju/AYNz6miOrsfQ2vNq8sjLvUjpusuf+bEFE8fafPy0pB24HKpF3KkFTDopgSew+Ig4VNfXeIrF/t0fIeZlkeWKTKt8WyLtUlKb5zy5Qs96l5ZwZUrTV4o+pOccVrQG2e863iXJ+eb9KKU9VHC5X6MUop+lHGk4zOKM77w+hqOBU8utLAtqfq6eIjAheoqv+ZZKA3DpJwnNtfyyApFnBWcXw/RumyCd3K2wVzLZ7KLhuN6jKo0YV5ooqy4aSeoH2Vbabp+mO4Qre+X9XHCYj/Gc8oRDjcrBL8fqXsOdc/mcj8CSlHw9jRvzbOpeTudgpeWBiwPEsKsQAMffGKWr1wc8MpyzsYkY6bhsRGm+K7Fc+c2cF0LWyDOFG+sTRhFZRPRxX7I00e7HGr7nFufcH59zDAuSPMCsQRHwBaLniT80bkex6bqzDU8VkcgApf7MY4l1F2bx+eaHJ+ukyvNCxeHnJytc3K2jtKa6Ya/I9V3uFNjtqp0FBHCNKcflgmj1VHyllaMXdoI2ZhkW9+LG3FDy7TWrwHfJiIdQLTW/Ttgp8FgMNwyrcDlULs8kWyfXXQtSpdC4TNLYywLjnZrLA8jFjciRrWsnB4vwruPd1EarvRD/viNHkujhJ5tsTiYoLQFAgvNgFxr+lFKlhWM3ZxW4NLwbNKsLHMuTyAWtiW4ts3lXkSuFJYlvH2+TSuwmaQFZ9dC5lsBSmsenWuQK5hrlr2K8kIROBadwGUY59Rcm5maT911aAUur6+MSXLF+fUJx6fqpNVYhUOd6zshYZoTZ4ruth40c5XGw7Mtmt7Nn6QanoNllVqPWz3JbTpiaa5I8mKrZ9KDTrfucrS7uT8LYGdqcmOSMogyZpoeDc/BtWySQjFJUkaxy29/bYnVUUK35hNmiobvUBSas2tjJmnBWm+C79jEWc44yQnzgjDJCZOccbbBQtMlV1AoIc8LlAZHIC3KisVJYjFJSzGza4GXFZycafD2wy0OdwIKpfiL33iUtFA8e7aPZZWjZZ463H7Te03ygjhVtGvOVmTLd8pO52mudqTG3go299QoznekG6/HntZJ+eyO1rqvtR6IiCsifxP4Ma31O++U0QaDwXAzFEpjW2X3582TjVKalVHCZjBBUzoWngNfXxpSaIVrleLMlWFKzRc6NZ9cax7p1HlsvsnXLvX5/OvrBG4pVNZFTi/OSKrw+qG2S15AgZArQCsGUU6urfI5jjBMcr5wZoUoV9Q9h5rr8LaFBu87Nc3Xr4z4/15cwrFhrlX2AFoZxsw2g+pkCWfXJqyNU95YnZR9VzyHwLcYxGWZsWsLWSHMNQNagcORqb1TDUle8MZqOYwzTHOOTZWC1c2Ov7dKzbN56lB5UrzVCM5cy98SEN+MJux+Z6rukeRlFeJsVTMeZwVr44Q4KbjUj8ry8qzgsfkmSmvyXHGpH/Pc+T55oSgUPH2kxTedmOLKIObC+pBXl8asjCKirKDQGq2vRp4oFBphGJZd0B0NhVYgQtu3KZRmkmRMkgzfdXj6aId3Hung2oJoUMDbFlp8+UIfZVl89dKQuZbPka5Pmu/sCq21LvVBhaIXpqCFbt3dEkPblvDkQrO8MLjJCOPtstAuO213t6Ub92KvjtF/FfgkkIrIi8A/Af4D8ALwt+6MuQaDwfBmNpvHKa05NlVndZwQpQWHO6Xod1PcLKLxq3Ta+qTUP4zjnELrUnMBzDdriGiW+jGfz9ZBaXzXYbrhMokLNiYpgWsx23D53Jk1bClPSIema9h2nclyH7Es8kIzjgocu+zr4ohilJSaDNuyEBz6UYabaXrjmLRQtAKPE1MBy5OEP3h1jSxXvLoypuHbtOs+Uw2fixsxjnVVY5EVGs+xmGv51Ku5T03PZfZIQKdRVgZ9+UIf37E4MdO4YTpRa7aGceo7XJxzM87PKM643I+ouTYnpuuICA3f4YmF6zfie5CIs4LL/QjXKts9XFuteGkjZHmYsDJMEMr9bVnCpY3oapdoBbYFZ1cjuk0PEaFbc/nCa2v80Rs9oqxsjhjlChQ4dtkewtWCODZZUZCnikmY4Hs2RQG+Z+M5wiQt95YACx2P2WZAM7D57NdXiXPF6Uc6FEoxScvvBKK5MowYTDIKrXn+0oDvenqBJw612QgzlocJaVEwSar2ENcUJ4gIznVaV9xNphvejlEgN2KvSNA/Bv47rfUrIvLNwB9SDlP9tdu00WAwGHYwjDO0Zks7MYiyrbD2Yj/aur0ySnjUd7ZOvptDHEdxxtIgYhwXWDYMJ2X5fCtwmG16tAKHhmfTcm0yDbnKGYTQqjlsRAm/+fwin31pmdVxzOo4RSnNlWHCbENzpFOnN0mp+w62LeRFQZ6D52os0Xiei1YK2wYRi6LIyYoyNWZLmYZ4Y2VMJ/BAysiMY1sUVWXWsaka000PyxJeujLYSiFshCnn1icoXacVuFgiuLYQZeVJZ/NzupEIOnBtTszUibOCmZs4Odxp1scpWa7J8pwoezBSXyvDmCgrONQJtjopX4/1ScowypikBYFnvUms71gWllSOo4BY5e/zwsaEI0WNtx9u8+hswK8+u4guCoaThBcuDji3OuHM6phxkpEpTa4USpVdzwEC22KUZKTKIs8LapXD4yGIVTZkFBRaK1wbtLZoeDazLY9xUgCl0//i4pBxUmBZNu2awzjOsMTmyjAiScuU3PlexKNzzS3nxrNtZqY9XMdmtnnv9tbtsNcuTLXWrwBorf9ERM4ZB8hgMNxpBlHGhfVyAvaxqbKBXN2zt/Qm3bq71Z+k6TuM4ozpust03aPhlzqESxsRUI6feGqhydeXR6WgOE557twItDDTcAk8hwvrIZO0oOaUc5vOrY2JswLPsRHR6EKhBZJCM0gKCqVp+A41pyyNTzLINCQJWChqrqLhuziWhWtBWggzdRdtQSfw8TyHdJwRZQWdwOHEdJ1u3eGbHplmuuFzqBMQuDavrYxZGcfkuWam6aIKqLkOoyTnXce6iJRaqDgrtgbJ7qW3SPKC9XFKw3Po1K/2YFJKkyv9lk+n79RcRnFO4Fo3dCg2GYQZriP3xGEK05zlYdkUUNg5XHc3mp7D84OIrNC8JuX7Hcelwzdd98r5WggnZgIGYanR2ghTpmsuF3shwzjjcDsgygoypVgfZji2Q28SV9FN8G2h5jhs5DkZkCi4tBGXjRUtBVpTKMgVhEkOUjriYVqUjrktHJ+q4VrllPnphkdaKJKi4EhQfvdWRgk2Fs3AxbUspmseQytnpuFzpBtgW0I7cDk+XWN1lNCu3TjyopS+b9sw7LWz5kXkf972c2P7z1rrf3n3zDIYDAcFtS2MPkoyfNei7jk8daiN1qWmoB245KqsYjq3dtVh2jyRj+KMfphxdKpGu17+UY5Sxdok5ktne2xMUnIN75pqsDSI0Qi+I5Aq0lwT55DrAt+GAnAFRGs8G4aZYhTlZFWqYntKSVFekQ+jjLZv4TnCIM4YxhlN36Fb8+iHGbMNj27D5ZGZsu9P07eJslIMvNgPiXOFRdl87tXlIemi5vG5Bu3A48R0jfa26qLAtXn74daeeodRnPH1K0Nc28a2Up7yW7i2taOHzeFu8JZ2lJ5qeDuGg96IzU7DUHYafqtHLri2hWWBUhC4N3YYPcfiWLfO0jBmdZjw4uU+tljYlkV/Uo5JafgOcZ7TqZV9fBwb+mHGK8sjLm5EfP3KkEmUMUwUgjAMEzzXKjU/okBb+C74aUGSlhsxVuBZgBY8CxKl0UCagWNrwiQnKii1cgJ21UE6zgrOr02YbwbUvJxJnPFbLyySKc0j0w2OTNU41Ak4Nl2j7jt8w9EOdd/hD15ZJXDLSfVxpri8EZV6uF0cVaU0b6yNiVLFkW7AzH3YwXwvJ+j/Aeb2+NnwFiIiPwucBv5Ua/33tq2/E/jXgAB/V2v9wj0y0WC4JSwRRklGXiiUVgzCnJOzZQooTAvSohQYe5YwSbb1yVGaQmkW+yEXqyqs45Xo99RskxcubfDKlSGL/YgsV7i2cHkQV4/R2CKsjBMCzyZTiryASJVfpFhBEaWM05SG65BrTZYXZGJRc2G0rV1spWdmdZTiRYooz1EKhlGOJRFzrYBTs00Odcv/18OU2abHIMoYVz2GAtdioe1zbKrOs2c36IcpUZrzzqMdRrHL4kbE4W6w5fjs5QClueL8esggylG6dAyt6vFJXvawAZgk+Vs+VuNmogHbNSbFnRYz7QPXtnhyoUVW7b+9WBrErI4SNNAOXLo1DwtBo0mLgvlWQJIrJmkGGgZxSt21ubQR0fBtXMdiaRBhSanz8Z2yItGyhemGyzDKCWOFYykssUjznZ9HqsBSipzSMReq47gWohV2mfViru4SJRlFoXh5ccB0y9/af4nWjGNFqgrOrYcErkPdcejpDNuCR2ebrI9TNsIMrTWDMMNzbWaa3nW1YWmhiNIyb9ePsgfLCdJa/29vpSGG6yMi76Hs3P0BEfm/ReSbtdZ/Ut39zyj7NingXwH/w72y02C4FdYnCS3fpRcmZIXGd0oB5+Z0amDLKerWy4iQ1ppOzeGzX1/hpcUBaaEIXIcr/YjH5puEac5nXl7h3Foprq75Ft2az3zTQwH9SUo/SpkkGXVP6I0hh6olbEmqgKxsZGcBKeBaikCg5pTOj1sGkyiASa6xbYVjCWmhcawq9VRoClWgCs3Z9QlvW2hxpFsjLxTDOOdSP2J5WKZHam6pdxrEGbnWXFwvG869ujLiG452OTXXuOHspU3/aK5V9m3Z7L8zSXJWRwliQc2195wyPwjLaNZsVbZ/L1hoB1gieM696zTs2haubRFnBXFW7GhwuJ3NMSeWCE8faTFKCmqOxcWNkDdWJyS54r0npxnGOa+vjDm/NuEPX1sjrZzStx1qcKTrk6cFq4MxcVKKkZ2aS2+SMwgToqSgAIiq/69BVf8ANuNWvmMzjhUN38YSyDXkmSbJM15cHFD3y5lh33xygZVRxIWNEKsQHpmp8fSRdjX41KZTc9C6/J0s9mNyran5Nq5lb6XCXl0eIcAj28T6vmPRrbtM0rfe4d4v978yzQDwLcCnq9ufBt4HbDpB01rriwBVLyeD4Z6S5mqrTf5+mKp7hGnE0U6N3iThtZUQ15Yt8e/mMZOsYG2S0Km5NH2XlWHMS1cGLA9jRnHG4wstsqJgaRBxoRfhOaVg1LEslIIoLRhEGW8/3OFyL+KVpRFxpnAsjVhcPYNcQ0HlIAFZ5fA4UjobduUf6EqHMYoKbKtMkakC8CBOC1ZGCcNYMdfy6NYcjk3X2BhnvLw4JCtKgbXW5eiLJxeaPDbXYGkY47s2y1VH6fLqX/P0kQ4rw7L6bKEdvOlzdm2LU3MNorSgW796lb7Yj4irrtKPTNevW7pcKM3FjbIRY5wV96x6y7Zkz95HdwNVpVxrrs1SJYqea/plZ2wN48bVFgPbOdypsTSMaXg27ZpHuwbr45ivXR4SZQW+I/SjjKm6x+o4pjdOmcQ5vTAlLRRHOgGTNGEjTLm4EW+ltMZpgVsNV910fK7fFWvb+wDiAuJxGbLMVEGn5pArmCQZtghpXjZmFODCRsj7Tk3R9D2GccJ0w6NQpfPUrXmkueLSRojWNd7/xCxZobZSla3AZRBmWx3Lt4v1RWSrbP5+xThBDwZd4PXq9gB4x7b7rOvc3kJEPgx8GODEiRN3wz6DAYBxknNubQJQ9rjZxxX8VMNjqlEKRy9shIBwfj1kvu0z2/IQyiqa33pxiXPrYxxLeN+pWRp+mUJYHafM1D3Or03oT9JS+6I1M02ftx9u4dsW53oh/UnG6jihMwxZmUSEaYaIRZzrHRGg7ewW5FdAUZWdq8opEspD2Ha57jqQ59BPchSwHtqcnPJYHae0ailfer3HfMvHEqFds/AcH8+x8Gzh+HSDds3hO1s+gzjnyiDi919Z4cog4mLP4/h0fesEVA5ftenWXbrbnMayd8zOzz5wbeJM4TnWnqXtmxVMefHWi6f3g1J6qxvz4U5wR/vQvLE2IUoLbEu25tEtFfGWDux6M+pqns2j27oTr45inju3wdo4ZWkY4bsWjiV85cIGL1zqoxQ8MlvH7VsM44wLvRGDWNEbJ1uVklogzhWXhylUfXxcKffezZIqUGjSQlffJ2j4Hg3fxXcsAsfiSj9hoe0TZjlJrkmLnKxQpJni8FSt1P/0IwLP5smFFq3ARVOOoYkdi7XxjcX69yMPlrUHlz6w2aqzXf28ibrO7S201p8APgFw+vTp+2+Mr+GhIUzzrRNGmBY31UnYc0oB9PIgplaJQTs1j7xQvHRlyPIwJsk1YaFY3Iiq8vIGvuswmKSkuWJNJby8POJIO+BiL6TQsDhMCByb9cmIwLN55cqQLNXYtkOa5mW5ry6vIDa/QJsJINcunZuiuBoN2kRTOkA1p3yultLRaPkuG2ECuiyTLxRkuWK65aFRnFkZct62OdYNmK10QI5lcaRbQ6FxLIuFls8baxP6YUpcRSZmm0E5GV6XUSitYW2c0g5cxkm+wwnajWNTNWaaHr5j76kpEilTaGFa0LoPB16WE9PLCIfvWLc0ruN6xNUg0rLJX+kITjU8HEvohxmH9xGZGsYZX7084GI/ZBRn1F0bW4TlYcyZlTGeY7MyiBDLwnUsZps+FrA8GjJOckRD4AhKQ5SX1V6aUpQP4GrYa4K5RRmpzPXO9FiUFMy1bBKxsB2h5li0ApupukszcDkxU2eq4ZEW5RiYV1dGgGahGdBwHdbChDhnS5e3PU0auDZPH3lzN+kHgX3tcBH5Lsrow9YO0Fr/73fLKMOb+CLwg8CvAt8B/MK2+3oicoxyvw/eetMMhqtsLwW+mYZlYZqzEWYcm6qhlMZzbC5uRMSpojdJaPoOhzoB3Xo5qFEBniNM1Tym6y69MGNxI+RiP2RjktLyXeJUMYhTlgcRNd8mV6CUYFsWs50AsWB1qBlG5RWsUA43sC0QqzzxOJagFQQ+DBO9FTBy7DIKVHMFxGK6Xs4R69R9Gp7F0tAmyooyT6Yt3rbQQivNydkmF9ZjhIJ+lDPfDnj+0oCTs3UWOgHvONLBtoTLGyGvrUzohwmdmse7jk1hCRybqtOquTw+3yRXeqs55I10QlA6N9ujQ4XSWLK7yNq1LTq1+y8KBOUJd9MJDO6wXun4VL0sW6/GWeRK4Ts2f3x2nTApEOGG86gmSU63Vj6/FRTEWc6ZlTGvr46ZbnqMo4w4V2R56fDMdwIETVY0y7RtVtBwLWxbuDJIEK1RlYduW1Bshh2vQSidHd8uBdVN0aRaSLJy31pSaoQUUBQFy6MEr4rqfOvb5njqUFlxONv0WRvHLHR80ryMBn7giTleXR6RZKXmTSnNhV5InBccm6rfl9Ph98sNLReRf0WZjvkgZYXY/wh86S7bZdiG1vpPRSQWkc8BzwMXRORjWuufoGxq+SuU34Efvpd2GgyObfHIzN4nCaU0cV4QOPZWtdC5tZBClZO3k7wUDP/phQmubTHf9nFsoRO4vOd4F0VZebXZ/K/sPGzz8uKIR+caeK4DKBbaHsMoZaru049Sjk7VODXX4M+emqUfpvzJuR6X+xGpEixbb51EXBtavkM/LJseAtRsB9++GgvybEEcwbVLB8j3bOZbPkenGlhVXxbPtchzTeDabEQZUw2PolA8OtfgwnpIt+5wbm2C71qsj1KKhdIGrctokG1BI3BpBg4LbZ+Ts40t/c+m0xM4Fov9mKn6ztlUN2JzgrzrCI/PNd/y0Qa3Q8N3eHKhhUZft99QmiuU1vtyDrfTqbt06i6X+xGXehFzLR/XLri8EQPgDqI9naC8UGRFWUm4uZ8HUZmyXBkneI7NO452iNKCL7y+jiXlYzuBV05sRyNasCw4uzopR4l4YCNYjoVWijDJyNOrUZ7AAqyyGaNnw6FOjUGck2UFjoClc3INvmvTafi0lebSRoQSRZrnbIRlCnu+XU6fv9ALWR0m1D2rnK0HXOyFTDc8lodxmfJe///Zu/PYyLb7sPPf393vrZ0srr33e/12LX5q2X6O5Ilj2TMeIVZsI4NxAmMQeCDDkyDGxGNAGU/gDQbkeBIjhsd2lFkCGRkbMTJLvEyAUWxnJFmxLMlara27X2+vu7kVWevd75k/bpFNdpNs9sJmkzwf4KGLt4rF84rFW797zu/8fsON5rkrg/hoB0HAe5RSbxeRLyil/pGI/GPg3+z3wLStNm+LH/vF8fEvAu95+iPStAdTSjFMctxxM8W1MGV1mIybbpqcnyp7V9lmmYMhCIYhLA2isn5PmjFb9/AtkztrQ651hrwyW+fcdJU4zekMy5P0RMXlW8/bXFsZ0QtT1kYJg6RgulHuCPvyrR6FEl6aafDaiSbfXOizOiqTpiuOWSbE5jlxWiY1qyLDsYQwUYgJWZHTqtgoJYzbNJHkClPK3mFEOWkOF6aqNKoe3TBheZCSWQWeZVJxLdoVD8+zmFLl9u+qazOMC1QhTFZcXp6rYxjC5aUBozjn/FSFds1luurtuLX81lrE1ZUhX3or5V1nWsw2du8jtq4XlgFdmpWJwLVDFAQBu+YqhUnO5aUBSsGpCf+By4T3KgpFZ5zfsjKMaVddmoFFnBUbfep2crsbsTZKuLIy5Ms310hyxUTFoe5bRGm2UQohSnJeP9NksR9xey2iG47wbYvZmsdXF/oYlO8REcE2ytwnTEFy4U4vJMwSinEUlBZQd4TpukcrsFnox6RZuYZmmgaeY1OoAs+2ma6WeXajtKAXGrQCl9fma1xZHmIYwoWZKov9GKXKRPwwyVDApaU+//nb5knygn6Y0gtTDEMwRGj6h7NS9Lq9BEHh+N9IRGaBFeDsvo1I07Qj4+ZqyNooxTLLKfRCwdXlIWfblXK5aOxcu8JgnGtwoxNyuhVwtRhRcS1mGh4L3Zgv3SpbSgyijAuzNSabZQPSvCj7hzV8m8nA4fJyufSwOozLvl4Y1DybQVJweanP8iDmdnfIaNyLrBtl5EVO3i9IRWEYYNomjikUKidMFZFSVBxhtuVjGoJjClGa4doWi92IMMkpVMFCP8HzbE5NVLDNkMV+SqEK6oHNXNPj1GRAd5TQDByyokxS7gxTchQLvZDAtuiHGaZRLtvN1nf/0FUoOuOg8nY3Yrbhj2snlaft+aa/bRJ0u+YQZzmuZR7qq/jtxFm+kZcWpjnNh/jeUZKNlwLt8fZwg9trERXH5oVZjxPN+3c63eiMyvfSuJryYj/iq7f75bKwafDcVJWXZsvg4lY3xrUssrxgFOcM4pzVYUxWCGZFcXW5TIzO0hzLgDgvEBGWhimvnWiwMohpBDa9OEPF5bKwoiwpUXFNqoFDjhCmI6qeCZi4Vrn0aVsmpyYCzrbLNjBJBq/O12kEDlFalMGMEmbqHiv9mFbF5vLSgLRQvDBeRk2zgjeXR3iOwXe/OI1tGXtqUvos28u7//8RkSbwPwKfp8wF/Oi+jkrTtCMhzsrL1Swvu76j4ETLo+pZW3KGLNPYuGIvA5uAd52dIC8KlgcJhYKZccG5iYpbfrgFDjN1j8V+xI1OiEhZ/+art/rYRrkFOMlheRhT9SxUkXNpcUiS9zCBimNxvl1lFKe8uTIizQqaFSHNFI4p2LaFZaTkKgUlJEVBFGf4noVtmsw1qnSjnG857XO9M0IoK16bQOBafPtzba4tDenGOc9PV3ntVINzkxVurobU/ZiJis21lSGWEeKaBp+/scb5drnM4ztl/ZYHOdH06QzKbdbrdVhWhvFG4rDvmNvWZxlEWRlg1r1D/yF2r4ZvM6zm5Ll6qNo06wUP1zugn54MWB7EDOMc3zFxzPuX1qI033itl/sx59oVlvsxJ5o+VcfEtQ3OtCtl+xV1d+fU0iBholp2Z7enakRZQdU16QwTlgblxnXfs2mSESYFaV7Qj1Pqvo1pGiS5KvuaxQWmVW5Tn6y4TFVd1oYJ5ycD+klO4Jg4YmDaBpO+y7l2BccyOdnyud2N6UYpr8438Oxy+XW+6fPcdBWlFF+51eXMZIWsULw4W5ZJSLIC1ypbaeQKnCPw3nlgEKSU+tnxzd8Vkd8HfKVUZ19HpWmP4eyH/uCJPsfVD7//sZ/vuDrZKvsLVVyLumcxiDOqrrVrDsrWmQkT0ygf+32vzbE0iPAdk5lNhf7W83bCJKcziFnoxwyTjNOT5QeSYxu8PFtneRBzdXnIZ64NyAvFqUmfN56bozvK6cc5WVo2vnQci4mg7Jt0szvizcUhOTAR2JxtVxglBXmh6EY5882AqZoDhrAyKBOyJ2seL83WOT9V4RutHteWhzQrLmdaAZ++2uHGyojnpmr4jsXFs5NY5hphkjM5bkA5UXEemFe1zjINvuVMiywvNl5Tf5w4DGybE9MddwCHsrjfnI/irAAAIABJREFU067Fs99EZMuyVZTmOKbxwGrVm3eGZYXCMstE//Xj9yb6L42XnWxTiLMyUOmFGW87WQYV5QyoQZoXdMOcqmvTrrhM1Rw6Q5vb3Zi5pssZKwCEwDZQKNJcUQhM+A5NP+Ot1RFZoeiFKa2WXeaYDSM828IyckzToFlxKRTUfJv3XpgmLwripCDMc6Kk4MSEz/e8NE275vLJSyuYYlH3Fe2qR2eYMFlzqPtlHzGfcvdgzbM5PRFgmsJswx/n8hUUKOK8eKgimlFazs4dVOHN3ewYBInI9+9yH0qpf7s/Q9I07ajwbHNLsbSHzc9Yf471oODs1P3Bwcy4MFucZXRHwlzDpR+ZnJn0ubUW41rCTMMDpfjyzXIDZaEUYZzzZ2+u8VdfaHNywufSYp9unBK4BbM1j287P8nH/vIOzUrCMFFMVFyagcO5tkvFs7i5GvL8dJUky5muOuWywVSFt59oUPVssrzANEwKZZBmio9fWuZrt/osD2NsS5huuExWXd57YQrTEEZJRpjkGx+2RaHoRSmebT4wwXdzUFnzbC7MlLlW2yUO29bdYMA2D/+V/G5udEasjVJ8x+D56d2LPs42PETKIHv99TYM2bY4Yi9KudMtk6UnqzaFgtVhWeH8/FSFCzM1lCrrDnWGMZ5tUHVNTFPIVZnDttSPqbo2pycrnGwGmCaEacbaKGMYZ7z9ZI3PXetimib9OGG5H+GYBidbHjM1n7WwjyoMPMdgomLz/HSNtUGCXRMs0+B9r01zsxMxVStniF6cq5etaYBmxWau6TI3Xi5d///d/H44PREwVXPxxu8hEaj7Fr5dofoQtYAGccabS2XtsNOTwUYj32fFbv8nf3OX+xSggyBN0w5MlOZcGZ9cp+suq8OyBcHrp1uEaU4vTHHtlIprcWVpyFqYYprCXMNjbZjS8F2qroVjmVgiOLbBcj/FsUxypbi82OPK8oheVG6Nnmt4nJms8r2vzrDQi/m2cxPM1H2udYZ89bai4jm8++wEsw2P292YlUHM1xf6dAYpSZZT9Uw816SalT/Tsco8Kcsok8Frnk3Nu/sBcXM1pBumGAa8NFvftcDhvXbr0h441niLfbHl5x1Fo6ScxQnHs3e7vYabg+0HsYzNgaS5pYjiyiDhSphS9SxOT/hEaY5lGIRpRt1yWOzFpHlOVsDSIKYbZnQGCRXX4tLiEKXKoPbGWkzFs5ite0RpimuaJFmB59ic9h3SvOwRl+eKQZTRGaXj8g7CmckKg6goG6A2A2ab5Wzf8iDGswxOtnxOtHyavoNjCoFrYRnGlpmae0sqiAjPTT18/ah4U+5fnOWUhSieHbv1DvuRpzkQTdO0LC93kFUca9up86JQDJMM3zbLBNKiYLEXc3N1SGu8Xd62DGYbPn92ZZkkLYiSBETR9G2qrsl8s8GJpodrmQSOzUTV4Vw74OsLPp5lMtf0MTD4/M0eWV6QFwUzNYdTrYBz7QrzDY+aZ1NxrfEsTVnpeRDnnJ4INnJswrRsa6EU+LbB6YkKZ9uVctu8Y3GnG3FrNaLqWbimASLMN72ND55svP1HqXLmyty2fvWjKV/bZ29p4kmbbXgsD8pWKw8TRD5I4Fg8N11hZZhgGsJkxSYvCqIkL5ukUuZdRWlRVhA3DZQyWOhFpONGv0lW0A0TrnVC4ixnvhHwylyDrFhjFGecnayw0It423yDr952WRokOGZZfPNk0+fiqQl++8+vMYgLWlWHumcyijOSLCfOchZ6Ia5lYRjCqcmALC9Y6se4lolhgGeVOUirw4QzkwHnxjs1d2ObBnVPHiqPrBU4xFmBAiYrz17/sL3UCfp7wEeVUj0R+U3gdeAfKqX+/b6PTtO0Y+Xmakg/yhCBl2ZrWKbBKMnKGiiWwbXOiEGU4VgGZ9sBt9ciojSn6dus9BNMo2x4udiPuLE64urKiHecbHJm0qcX5YRJRpYrBkmBwqBVNRCEyZrHuakKqAovzVbpjFJGWUY/Sqg4Hi/P17kwW6Ndc/nUlQ6NwCFJCxqBRTNwCBwb17JYHiS8Ml8vaxc5Jl9f6GOZwnwzwLVNLsxU6YUZd8Y7ynzb4mYn5E4vKltAGMLZdnlaPtHyWRnPEOy1D9tu8kJxbWVImitOTfgP7Ix+FDR8e1+WX+IsJ05z1oYpa8OUYWLxl7f6jOKcmmcy3wyoeRZ132a+6RGmOYHjky8MsEwhzcoijL0wwxJhsRcxXXWYqLp8z8szjJKcbywNaPgObzzf5rUTTb5yu8tfXFvl6vKAtWGZwP362QmGUc5U1eFOL+IbC33qns1cw6dVcSmKcgMAlPlfpmEwU/eo+2VbldtrPdbClOowoVVJdl2uTrKCK8sDslxxtl25b1dhL0p5azWk4licmvA3AiXDEOYfUFrgIO3lr+CDSqlfE5HvBU4CP07ZguFd+zoyTdOOnXsL4S72Ixa6MYYBF6ZrJOPdZlGa0x2lnJkMWB5ELPRjKo6JaQjL/ZisKFgbZdiGgQCFEu50I2yz7OxdcUzqbYvrKyOyTNEN47L4nllup59rBaR5QVEU2GaZLL3Qi1nqJ/TDjGbFZhintGtlp/OzkwGmYZQtOCiTaPtRyommz7zyaNc9JoKyZcVUrZw9Ol0ELA1iOqOk3NE03oW0zrXMJ/rhMYizTQXuEoKJox8E7YfOMOGt1ZAoyzGlLJiZZookK19bwxBenqttBAGT4x1qWV5gmmURRDFUuZur7rLYj1kLM750q8fpiQrPTVfJUdxYGREnOX/8tSVema/z8myD5XHif1oo7nQj3nNhkju9iDRTLPYj+nEOUiZl/9DrpxgmGTPjtiKGITw3XTbWrXs2hiHEUxUq/XLn24NmyoZxRpqVf6G9ML0vCFrux2S5Khuopu4zmQS9nb38Fayfl74P+N+UUp8VkcNVWUvTtGfCgyr5nmz5LPUienHGpcXBRq5FUUCaF5xs+XSGCb2o3OE0SjKWBzGmlDtrclWW9W8HDksDh8A2CccfTpPVMjA52w44O1nBFmGU5nzprTXudEP6ccaFmRq+a3HxzAQrg5hCQT9MKJRwvVPmH1U9m4rrkeYFV5eHNAOHF2eqJHlB3bt7Jd3wbfpRhmOZzNa9LR8y67k4jcCmFdjc6UYbW9b3S8Uxcaxyt1LjIStMHwdL/ZilcX2cuW2KTt5aC+kME9aGCUmuqPtlmYdhklH3LN52osnN1RHPT1fXNw/Ri8qlW8cyyIqyUa8CHNPk6vKIgoJRmlEoNS4noRhGGTfXRkRpTi9OyZWi5lm8/WQTxxLqnk2nn1ANTC4tDlnqJ9gWTNc84kwxWy9nNVeGCd64qOQgzlgZxNQ9m9amXW4nJwIagY0h8sA+fzWvXKLOC0VrmxmjZuAwjEN8x8B9Bhvv7mQvQdAXROQPgReAnxaRKjv2XNY07bhK83KWZqelmyjNubS4eyVf2zRIC8X1lRHDuCxmOFl1qPv2xkm64pYzOIv9iDeXy+Ud3ylzD1ZHCZ1+RtWzeHW+xs3VENcyuLw44NUTDb7tbIvFfoJlGtQ8i89fX8M0hKrrMFlxqXoWL83WcCyDuUbZOXt5GKPGLRDOtQNOT1QwRFhTKc3AYrbu0g1TKq7NUj9hsupij+serV9xQ5nPtN027cmquzFbsJ8s0+DF2RpKqSNXG+hJWOrH5ON+bE3fHvcou/s6dYYJRaG404uoeva4sKJHUcDtblnEsOE7LA8SWpUyAXptlGIawoXpKjdXR7y5PGShF5W7Jls+S4OEpmdjG8LJZoUXZ+tM1zwKFIv9MolZxjOUnm3yjlNNWhWXmmuyMkz4xsKA1WE5O3lhpsp3PN+mXXVwbYs7vYg73Yhz7QqmIShVVgpv+PaW92HNsyk2JXbnhaJQ6r6/Y8s0eH5657yhiYpDK7AP3XtrL0HQ36Fc+rqklBqJSBv40f0dlqZph8l6qwKAM5PBtruO1muFwO6VfE1DME1BBFzb2NIza92Jlk9WFJydDOhFGYFb7ui63gmJ05xzU1XmWj6WYXBpcUi75nKjMyRKcwwpr1prns1rJ+tYpnBpsU+SFbwwXWOUlImlpiEYwPPtGivD8gPpwnSNqmfx1lrIS3M1Fgcx56ereLZJPyxzlcxNHwJlx/OEQZJjUNbkmaodbHLoYfuQelpaFZvlfsIoLotqBq7Jc5uShdtVl5VhzGzDp+Hb+I658b4UYWOpVqmySGgyvijIC7VRwPLWWohpCOfaFeYa3nhHl8Fr8y3edbbFqYmA650RhgivztVI8/L3lauyBc3KMBkva2acbPkk45/T9G3CJOPMRIUX5+os9WO+cruLIWXwsz5tkSvFm8sDGoFDu+qSF4rLSwOSrJxl9R1z04XKw29nP4zvrb0US8xF5DzwPZT9qnzKPoOapmlA2W5gPcAZJfm2QdBeK/meaPpUHJMkUzQCe9uZJdMQzk9VqbpWGdgYwpdvdqm5Fov9iDu9kFdO1GhVHBRlImuSFXRHKWGWc31lxJdurvGO003+yvNtvv38JJeXhiRZuW386vKIaysjRuMu2fNNjxdn6tzqjri5FtIdZczU4I3zk0yNCzeOkmy88+buzM+ttYgkz7m9FnFmslLmSxxwEKRtb67hM1v3+NqdPlmuGMX5llmz2YbHbMMjyQqGcUbNK4t+uraJbQqWYXC7G2KbBjXXwjENlsfNRS3TICtGTFZdTEPwHZOX5urkCqJxuYI0L/ja7R7XVkakec5cw8c0DaK0oO6XMzu3VkNurJYtUU60PN5xqknFtfjizS6rw4RetEqU5Tw3XeP1Uy0WehHueNYpzgqud0aMkoJREtH0beKsIE7LYG29Wep6T7JhnD1zNX32w152h/0a5cb+76QMgobAbwLv3t+haZp2WJT5ADmFUvdV1l13byXfnYgIrT1upZ2ue9zojFgdpjQCGzGEyarLfNNnEOXMNmxenKnx1ds9QGFbQlYIN3sRDd/hzy6vcq0xGiche8xMVbBMgzvdEKWg7to8P13hRDPg8tKAbpTRG2WcnQw4065sBEDAfbutDEPwHQMSym7kluypFYZ2cESE+YbP0iDecWnHsQwca2vu17rNdYY829xSaPFbTjc33v9lYUZhuuayPEhYGUR84UYXpODy4pCaa1P3Hb7z3CRZXnCnF7HcT+iFZRPW9SXhtVGZfN8ZJtzphlzrDJkIHDzb4pX5+pb8n/Ul4NVhimsbmIYQOCZ13yJMcyarLoFt0vAz0qLYqGB+1O1lOew7lFKvi8hfACilOiJyPF4dTdP2xDSE05P3V9Z9Wj8bytyGV+cb3FgdoRQbVW1HSY5pGMw1AiarDg3fwjKE5UFKrgqWhwn2uGruehf29erCjmkw3wwolOLayggo222cbVf2FNCcb1eJswLPPvyNJo+LRmDvS+K4a22tng5lED9d9/iL6zkro5SVfsrpiYCigPlG+f6yTANr3DqmVbHxnHI2Ks8VYVJwqxvhWEIzKJOeLdPYcWfWyVZAu1q2EVl/P95bIPKg/o4Pyl6CoHS8G0wBiMgkUOzrqDRN0/ZoruFRcSxcu0wefdmto7gbHFU9C882SLKCqmtRcW2+84VpBnHK7W7E7bWy/UHNszANIcsL4izn5bn6xgfFYj/Gt00GccbzM1XOjj840nEBOt82t1x1rzPGSx+atpv5po9tGLw0WyPNys7xZ9p385Fm6u7GLjPfMQmTjEtLg7Jpb5iyFmbUfYcXpqtM1V1a455n2/XrelALluNmt95hllIqA/4n4N8AUyLyc8B/AfzcUxqfpmnarkRky5W7YQhro4QbqyMKpTjfrtKuunzi0jJXloe88dwE7apH3S+To5+bqmJI2QQzTDKudUakmaLh2xtXxb5tbswQbJ4ButONNrqIe7apAx5tW2ujhJurIZ5tcr5duW+X4EzdY6bucacb0Y8SZhv+uMp0uVstV4qZmocCFnsRC70ycD81GfDm0nC8Cw1mm/64NEPK1eURAGfaAfUj3h7lcew2E/Rp4HWl1EdF5LPA+wAB/qZS6stPZXSapmmP4E4v4upS2X3bQHBMgyxXLPUjPnV5he96aYaqayEiWOY4aOqE43otOYWCzjDGd0zaVWfHpqTrxRFFwDDKHXBro3Rj95B2eC32IoZJzmzde+zf5a21kEFUbh6Isnzbat1xlrPUjwFY6EXUPJtuWNbDitKclUGCoOgMU/pxxqlWQJzmzDc9sqKsj7Venyce71QbpRk3OiPOtSukmSJwzSdSffwo2S0I2ghVlVJfAb6y/8PRNE17fOWOHMGyhEIpRMoO3Yv9iJpncWVpwNtP3t2kv/6hYYjgWSZXloZEWY5jmkCVqZq7bVPS2bpHYJdLca5l8rU7PdJM0RmW7TO0wylKcxZ6ZUByW4Wc30NfrZ30opRelLHQjzhjBxiU3e0rrrVlE4FtGHh2uRus6pYzN9Y4YLndDZmounRHCSeaAXGWU/UsWhUHe7xDzRnXEgKYCBzCJGdpMcKzTD79ZofJSpmc/+JMTeenbbJbEDQlIv9gpzuVUv90H8ajaZr2yHpRynK/bJj5V1+cJs5ybq+FDJOcqmuNu7Eb2ObWD4F21SXNC0xDsA1hlOTc7kbkqmC3bgL3LsWZIqQoDH2xfajZpoFtSTl78pg91vJcUXEszrerzDRcbnUjhnE5Y1h1LZzx7I1hCM9PV0lzhWMZxFlOlOacnPBI8jIgDxwTQ8rls4lxAATct5XdMMqdmL0opSjYqLye5QqlyplLrbTbb7e8BOIJti7WNE3bR7fXonEdl5xX5+v4jkk3THlzpYcCJgKb56arW5JOoUyiXt/OrJSiAKbqDhOBs+ft+lDutOlH6bZ1krTDo6zyXCPNi8dOJG4GNlmhUErRrrgb70/TkPv6dYkIjlUeu7o8IskKHMvgbSea9KMyaPrmuJjhrbVw1zo+hiE8N1VlGJclHbpRSv2eatHa7kHQbaXUzz+1kWiapj2mwDFJsgLfMTZO9qdaAWujBKUE2xJOTVR2fY6yfovHdO3h+3g5lvFUWmBo+68MUh4/r0tEthTIPDFOXvbs3ZuWFuPqo4VSW95Xnm0SJjnBHvKUPNvcCOJqx6Dw4aPYU06QpmnaYXCy5TNVcxnGGVeWBkxWXBqBzUtzdbqjlKpnPbEr4bxQGFK2SeiGKb5j6u3H2gOJyJaZwigtl15dy2B+UzHRc+0KvbCcvdnsfLtCkhdbmpQmWcFgXMV6t8TnvFAP7BZ/3OwWBH33UxuFpmnaEyBSFj1c738UpSGNwMa1TKbrTy5AWexHLHTL3WOOKXTDDIWi4pqYYnCi5etdONqeLPVjBlHGAKj7NtVxo+DNszhvrYVEac58o+zv5d0zQ/XmctnyxbMNLszUtv05t9ZCVgYJVc/iXHv32dDjZMcgSCnVeZoD0bTHcfZDf3DQQ9CeIb5jMor3tmTwKHphBpSNY/PxFXkvTMnysvt2Z5gwU3/45TTt+PEdc6Pb/ObZnXXDOKMzSIAy+L63wjPcTXzOlbrvvnW9qKxnNYgyikLp3KCxfb9UERFLRH5LRD4hIh/a5v5fF5ElEfmvNx37ayLyKRH5YxE5qY/teuxfi8h/GL++Lz7p35+mPQuKQrHYi1gexHt6/Pl2hQszVc7sUwuAqZqLYxlMVB3OtStM1VxemKnhWAYi7FvwpR1uWV6MC2wmG8faVZcLM1VemKluO3voWsZGPaqKu/28xdl2QLvmcGaXfLfpmodjGUzVXB0AbfJ4e//25vuBryqlfkREfl9EZpVSdzbd/wuUhRk3j+UfAd8LvAL8Q+Dv6mM7HvvbSqlURP4T4O+Pj2nakbI8jDfqttiG8cDeTuvLYo8qzcviczvVU2n49padObONctZnYty1Xi+Fadu504tYHZYzMq51t8L4bu9VyzR4YaY2LohobJvXEzjWA7fyT1ScHZsbH2dP4y/1DeBj49t/zD3d55VStzd/LSIBECql+kqpPwNe0ce2PzZ+/dLxS1cFvvjYvy1NewaZm4KR/azBEyY5X7ixxpdvdrm6Mnro77dMQwdA2o7WgxeRh6vVU/a0U3z1do+v3u5xay3cMpukPbqnMRPUBHrj212g9YDHtzY9Hsp6RfrY9scQEQf4I2Ae+AG2ISIfBD4IcPr06e0eomnPtMmqi2UYGAb7VoOnKBRXlgdcXRnimibWuHeTrq6rPSmzdW+jEerDzlQO42xjJ+LqKKHpl7M6zUDP7jyOfQuCROSngPcDrwL/Yny4Dlx6wLeujh+3rtDHdjyGUioB3iMi7wJ+HvgA91BKfQT4CMDFixd3zpzTtrU56frqh99/gCM53h60BPYkKFUGXEmaM9vwdACkPVEi8shBS6viMIgzsqLYqF+zSx60tkf7FgQppX4Z+GUR+UHK7fafBr4L+O0HfN9IRHwRqVIu+fylPrb9MSnP0NZ4SawHhI//m9O048kwhMmKQ5hkvDDd2FLgTtMOmm0anJ+qolTZm05EaD3hHJ8kK7i1FmKZZduN43AR8DSWw34P+CER+QTwh0qp2yLyTuBdSqn/RUR+GvhbgIjI/LhK9S8C/y8QAf/V+Hn0sfuPucC/ExEFKHRStKY9ltVRimdbLPZjpvUWd+0ZJCL7VpV8aRDTj8ryDzXP3rUtx1EhSs+nHSsXL15Un/nMZw56GE/c06oTpJfD7nfx4kWOynvq6vKQfpQRuCbPPUbncO3RHaX302GzOky4uRpiGPDcVPXIVEAXkc8qpS5ud9/TmAnStH2hCyRqT9qZyYA4K7YtWqdpR12r4hC4JobIsdnlqIMgTdO0scetL6Rph51rHa/3//EI9TRN0zRN0+6hgyBN0zRN044lHQRpmqZpmnYs6SBI0zRN07RjSQdBmqYde2leMIyzgx6GdgQUhWIQZ+SFLj9zGOjdYZqmHStFoVjoRwDM1DwKpfjmwoC8ULRrDnMN/4BHqB1m1zsj+lGGa5fd3x9VZ5gwjDOm6+6x27H1NOkgSDt0DrI+kO4jdvitDBOW+2UHbts0qLrWxlV7nBYHOTTtCIiz8j2UZAVFoTCMh289EaU5b62WXZDyQnG2XXmiY9Tu0kGQpmnHirOpEOJ6N+/ZhkeY5EzXdb8w7fGcbPmsDBLqvvVIARCAZQiGAUUBti7cua90EKRp2rHS8G2emy6vrAOnPAXqZqnak1JxLSru4320WqbBhekaUZZTe8zn0nanX11N046d9eBH055VjmVsmbXU9od+hTVN0zRNO5Z0EKRpmqZp2rGkgyBN0zRN044lHQRpmqZpmnYs6SBI0zRN07RjSQdBmqZpmqYdSzoI0jRN0zTtWNJBkKY9orMf+oMDbeGhaZqmPR4dBGmapmmadizpsqnaofAsz7jopqqapmmHkw6CtGfKsxzsaIffKMmI0oKmbz9yc0tNe5rCJGeUZDQDB1O/Z5+4fV8OExFLRH5LRD4hIh/a5v7fE5GPi8i/F5GT42OvjR//SRF5uz6287HxcV9E7ojI+5707097OOt5QvcGczsd156eOMu5sjTkrdWQW93woIejaQ+U5QWXlwbcWou4uTo66OEcSU9jJuj7ga8qpX5ERH5fRGaVUnc23f/3lVJvisj3AP8t8JPALwA/DBTArwMf0Md2PAbwQeDLe/ptaNoxpVT53/ptTXvWbX6bFvo9uy+eRhD0BvC749t/DLwb+L31O5VSb45vZkA+vj2hlLoBICINfWznYyLiAN8GfIJDYLuZkKOaR7PTrM+j5hDp3KPH49kmpycDojRnsuIc9HA07YFs0+DMZMAoyZnQ79l98TSCoCbQG9/uAq17HyAiJvDTwI+ND21epjP0sV2P/R3gtygDoW2JyAcpZ4s4ffr0Tg/bM/1h/OSsv5aP8zoep8DycTV8m4ZvH/QwNG3Pap5NzdPv2f2yb0GQiPwU8H7gVeBfjA/XgUvbPPyfAB9VSl0ef11suq/Qx7Y/JiIW8J8qpX5QRHYMgpRSHwE+AnDx4sWNSdWnFcw8KA9G58ns7Fl5bXTgq2naUbRvQZBS6peBXxaRHwS+G/g08F3Ab29+nIj8aPlw9dFNhzvjJOmCcvZIH9v+2AxwSkT+HfA88H4R+axSapUdXL16lYsXLwLQ3nT84sWf2elb7vOw39d+4CO0nV7HnV67zY/f7jEP8/vci91+55vfU5r2uPT7SdsHr+94j1JqX/8DbOBfUeas/PfjY+8EfnR8OwY+DvwJ8HPjY28fP/6TwDv1sZ2PbXqdfxZ434N+H+9617uUtrssL9RCN1Rro+Sgh3Io6PeU9iTp95P2OMIkU3e6oRrG6cYx4DNqh89EUXqbxLFy8eJF9ZnPfOagh/FMu9EZsTZKAbgwU8WzzQMe0bPt4sWL6PeU9qTo95P2OL6x0CdOCwwDXpmrIyKMV0i2nV7UbTM07R4id/8VXZtM0zTt0FivJ2mUwc8DH68rRmvaPeYbPr5t4tkmrqVngTRN0w6LM5MVumFK1d1beKODIE27h2EIk1X3oIehaZqmPSTbNGg/xPlbB0GaBvSjlLVRSqvi7PkKQjt6dCkATbtfmOQsD2Lqnk0jOFo1i3ROkKYB11bKZOjrK7o/j6Zp2mY3V8vz443VEfkR69+hgyBNA1yr/FNwLP0noWmattn6edEyhaPWyF7P+2sacH6qyjDJqDj6T0LTNG2zU62AQSXDt8097bg6TPQZX9MA0xDquj+PpmnafYwjfH7Uc/+apmmaph1LeiZI0zTtAfSuMU07mvRMkKZpmqZpx5IOgjRN0zRNO5b0cpimadpD0EtjmnZ06JkgTdM0TdOOJR0Eado2lFKMkoziiFVH1TRNexqyvCBM8oMexgPpIOgAiciviMjHReSf3XP8NRH5hIh8UkTePj72OyLyJyLyKRH5/PjYz4rIF8bH/8FB/D8cVVdXRlxeHHJleXjQQ9E0TTtU0rzgGwsDLi0OWOxFBz2cXemcoAMiIq+ye4XNAAAgAElEQVQDFaXUe0XkN0Tk3UqpPx/f/QvADwMF8OvAB5RS/+X4+34AeNemp/pJpdTHnubYj4P1K5goffavZDRN054laV5s9BgLn/FzqJ4JOjhvAOvBy8eAb99034RS6oZS6i2gcc/3/QDwf2z6+pdE5GMi8s79G+rxc6LlU/UsTrb8gx6KpmnaoRI4FtN1l5pnMVP3Dno4u9IzQQenCVwe3+4Cr266z9jutohYwNuUUp8bH/pVpdTPisgF4H8F3rvdDxKRDwIfBDh9+vSTGf0R1/BtGv7RLBOvaZq235714Gedngk6OGtAfXy7Pv56XbHD7e8C/mT9C6VUZ/zvN3f7QUqpjyilLiqlLk5NTT3OmDVN0zTtyNBB0MH5FPDd49vvA/7jpvs6InJSROYpZ4nW/QDwf65/ISL18b9t9Kyepmmapj0UHQQdkPGSViQiH6ec7bkuIj89vvtngN8Bfnd8GxERyjyiT2x6ml8WkU8Cvwd86GmNXdM0TdOOAj17cICUUj9xz6FfHB//IvCeex6rgG+559iP7esANU3TNO0I00GQpmnaNja3x9A07WjSQZB2rOSF4kZnRK4Up1oBjqVXhDVNOzpuro6I0py5hk/F1R/xD6JfIe1Y6YYp/SgDoDNMmG0cjm2c2v7RMz7aUREmOavDFIDFfsw5HQQ9kL4M1o6VwDExDBCBimse9HA0TdOeGMcyNma3a54OgPZCv0raseLZJi/N1lFKYZn6GkDTtKPDNIQL01VypbD1+W1PdBCkHTumIYAc9DA0TdOeOMMQDH1+2zMdKmqapmmadizpIEjTtlEUipVBTD9KD3oomqZpj6U7SukME8pyc9pmejlMO9KiNGcQZzR8+6HWyO/0IlYGCQAXZqp4tk6i1jTt2bTbea4XpVzvjICyRMhUzT2IIT6zdBCkHSlxlnN7LcK2DObqLleWhuSFYm2U8vx0dc/Ps/l6SV88aZr2rFJK7Xqe23z+UjzeyWx5ENMLU9o1l7pnP9ZzPSt0EKQdKUv9eKMOUNUxN/3R3//HvzZKuN2NqLoWpyaCLffN1T1sU3AtE9/Rs0Capj27djvPNXybky2fXCkmK86uz7M6TLjTi6j7Niea/pb78kJxey0CIM0j6rM6CNK0A5XmBdc7I5SC0xNl9eeKY7E6TDEM8ByTc+0KgyijEdz9gw2TnCQvWB7EZHl59TRTL7ZUjzYMYbqmCylqu1svtHj1w+8/4JFox5WIbHue26y1KfiJ0pw4K6h7FmVf7ruWxufEziBhuuZuWVozDcGzDaK0INjmwrAfpdzuRvi2ed9F5bNMB0HaobU2ShnF+fh2wnTdo1VxCFwTU2SjDlDg3H2bR2nO5aUBSoFllCeAimtim3pLqaZph1PgWFvOczuJs5xLi+X5b6rm3lcxv+nbLKQxVc/aNofyuakqSV5smyO51I+J04I4LWhX80Mzg66DIO3QqroWhlGueVc3VUd1rZ3/+LJCbayR1wObubqHMQ6G4iznytIQpeBcu3Jo/og1TdP2It90/kvz4r77m4HD8jBmlGSMkuy+wMowBM/Y/rxY922GcY5rG7iHqCfj4RnpESUivyIiHxeRf3bP8ddE5BMi8kkRefv42L8UkT8TkT8Rkb81PjYvIn8kIn8qIu87iP+Hg+I7Ji/P1nllrr6nqyAoA6e5psdk1WGm5m4EQACDKCPLFXmh6Omt8ZqmHTGBY3Gi5TNZdbbtmziMM/IciqLss/gw2lWXV+brXJiubjmvPuv0TNABEpHXgYpS6r0i8hsi8m6l1J+P7/4F4IeBAvh14APj439bKXVp09N8CPgfgC8Cvw987OmM/tnwKH9s7erdLaJro4SsKBMGa56NZycUqkwm1DRNO2omdkmOrnoWnm2QK0XT3z2JOi8UK8MYzzY3doqZhyj4WaeDoEcgIgZQVUr1HvOp3uBu0PIx4NuB9SBoQil1Y/zzGuNjCvioiKwAf08pdQ14O/ATSiklIn0RqSml+o85rmNhdRhzbSXENISiUEzXPS7M1A56WJqmaQfCNg3OtSsAD+yteKcX0TkCtdT0ctgeicj/LiJ1EakAfwl8XUR+6jGftgmsB1JdoLXpPmOb2z+plPoO4JeAfzI+Zqq7ZUDvfY71sX9QRD4jIp9ZWlp6zCE/+9K84PLSgCtLg23XvQFGScalpSFXV4aESf7AVmJJVjCIs30YraZp2rOhH6V87U6fr93pc3st5BsLfRZ70X2PGyUZcZofwAifPB0E7d0r45mfvwH8IXAa+JHHfM41oD6+XR9/va6497ZSqjP+9xPA7Pi+ze/Ee5+D8eM/opS6qJS6ODU19ZhDfvatjhJGcc4wzlkbbb+uPYxzPMtkpu7RrNhMVXeuoprlBZcWB3zu2ip/enn5odfKNU3TnlWDOOPS4oCFXsQoyVGq3GxydWVInBYs9GKK4m79odVhwuXFIYM4o1WxOTdVObSzQKCXwx6GLSI2ZRD0a0qpVEQet5bwp4AfA/418D7gX266ryMiJykDoC6AiNSVUj0ReZG7wc4XReQNypyg+hNYojv0qq7FosSIlLe30wpshnFGzbM42fLvq5exLkxy0jwnzQtWBgmBY3K7G+qcIW2L9XpBoGsGaYfLnW5EmOSESc65qYCqZ2EINAKb7igtv96U67M6SsiLAtMwqLrWjufYw+Jwj/7p+ufAVeALwP8nIme4u5T1SJRSnxORSEQ+Pn7e6yLy00qpXwR+BvgdyoWavzv+ln8lIi3K3KAfHx/7x8BHAX/8Pcde4Fi8PFdH2Dlx2jINzo7XvnfSGSa8tRoiUtbU6EUpgW1R2eNONE3TtGdd1bUIk3Jre2BbnGvfvcDLGsWW3KBbayG9MGMtTLkwXTsSF4P6bL5HSqlfBX5106FrIvJdT+B5f+KeQ784Pv5F4D33PPavb/P9N4G/9rjjOGpMQ+iGKWleMFlxdpzp2U00XvNWCiqOxXuebxNn2xcK0zRNe1ZlecHqKCVwTCr3zNzMNjxaFRvbMO67aLw3OTpKc0xDmKy4TFYf7bz6rNFB0B6JiAv8EHCWra/bzx/IgLRdDeOMSwsDVoYx802f10406AwTsrygXXX3tLV+quaSFwrLFOp+WWJeB0Caph0GvSilM0hoBQ7XVoZ0hgmtisOr8/X7gpvdCsxuNt/0WehFBI51ZM6FOgjau/+bMjfns0B8wGPR9qAzTBjGOcv9mIVeyGKv3M6pgJn67n3B1kYJghyqHjiapmnrbnZC8kKxPIhZGSSMkpxC7Z7GGqU5gzij7tlbeimu82yTM5O7pxEcNjoI2ruTSqn/7KAHoe1NxbU4N1XhdjdkInA2rnTSvCDJt9/amRcK05CNXCCA0wQ7NiXUNE17VvmOySDKCBwTq+7SizLmGh5JXmAasu1S1pvLQ7JcsWonW2qmKVW22zhMlaD3SgdBe/enIvI2pdSXDnog2t48P11lvulhmwa2aZDmikuLfdaGGXU33RLc3OiMWBulVFyTzihhpZ8wU/dQPO4GQE3TtKfvzERAmOb4tkmY5iRZwVI/4tLigDDJmaw6zDf9LS2H1ieKNp/14izn8uKQQinOtSv35RQddrpO0N69B/isiHxdRL4oIl8SkS8e9KC03QXO3W7IliFU3TLwCe8p9LVe++dGJ8QxDSquSc23aAa7l47XNE17FhmGUHGtjX8bvk2SK6I0Z7EXEyYFS/2tmR3n2hVm6i6nN6UBDON8o/HqUeypeLRCuv31fQc9AO3xNAObUZpTFIp2dWtwM1136QwTTk/4DJOcRmBzouk/8TEM4wzHMjYCM03TtKfBMIQTTZ+VYbzR42u9xs/6cpfvmPiOiVKKYZzhWgZ1z2LVNSkKResIXhTqIGgPxr3C/kAp9dpBj0V7dEv9mKV+hGOZ1OKMhm9vrItP1zzqnk2SF3hRxkI/5srSgLpvU/PK2STXMh+rQeCdbsRSvzwBvTBTfWBvHk3TtJ0s9iLSQjFTc7fdyp7kxUZj03WtioNhCEUBvmNQ923iLOfK0pC8UDR8G9MQ4jRnEOc4lsELM1Wem6ruaUxpXpAX6lDtHNNB0B4opQoR+YKInFZKXT/o8WgPL81ybnRGXFsZsdiPma27vPN0a6NgYpKVrTGUgjeXB1imcKcbMVVzMUU40QrwHZML09VHro2xXncoLxRZodjjrlRN07QtumHKQq9cyjIE5hp3Z63Xz2VJVpDmBbMNj4nAIVdlkLPQixgmGV+7M+L0RErdt8hyRZzlLPVjPMvkemfIiVZAw7c3yoQ8SJIVfHOxT1HAXNOjvUsromeJDoL2bg74ioh8GhiuH1RKff/BDUnbC6UUV1dGLPRj3lob0Y8ykqzAsU0mqw41z95Y847SnKKAMM8ZRBmtwGU1Tjg5ERCnxZ5PCNuZbXgYEuM5xkNdKT1sfSNN0442xzQQKROZ711az4oCpcpAKS8UaTHik5eWCVyLd5xs4NoGX709ohemgEIEAtfEMMAQ4ebqiLpvMUoyXp6rbTtj3R2lRFnOZMXZuD/JC4pxx8swOTzNVXUQtHc/d9AD0Ha21I9ZHsRMVJz7agBlecHNTohvGTw3VcUwhK+81SVKM26uhkzVCr5+p48h0PRtTk36mGIw1/ARhFertXIJzbMeawnLs01OTz5c3aF+lG5s1y9UGUhpmna0JFnB9U55bX16orJtjZ7NfMfk+ekqWaGouhZro4Tb3QjbFCYqLtN1B8cyCJOMpUGMZRioAvphxnTd40TTI7BNcgWzdR/fKS/KojTHtYyylEhWEGUFC72Ihm9jGcIwyTEFrndGG+Oea3jEWUHVtWjXHJKsYLp+OGaBQAdBe6aU+g8HPQZtZ0v9mLxQLPZipmvuliWr292I66tDwiTnW89PUHVt3lwe8tZqRNUtp4dXhym5UuRFOb1sGIrpustkpZwpygqFMw6AikJxvTMiynJOtoJ9bSBobPr/0JNAmnY0rYUJYVJs3J6uPfhiZ/Ns8vIgIckKvrEw5FQroBnYvDhbI05zrMU+gzhjsmJzouVzaXFcSb/h8+JsfSMAWn/OV+brXFkastAL+Y+XV7BNwTCE6aqL71iYBhuzUADfXByQ5Wpjy/1ho4OgPRKRPnfLJziADQyVUvWDG5W2rhnYrAySLcnOq8OEtTClGybUPYe6BxXHZrrqYIiw1BuR5zkvztYpioJcKbphMt4lFnBrrQyOBnFGK7AJXIsL01W6UUo3TDFE6AwSqq5FUSj6cVmY7Enu/Kq4FmfbAVmuaOqijZp2JNU9e2O7+r3JzHvRDGyGcYZnlTu78qL8qIrSAqWE56dqtCo2YZrj2SaGCIVS99VBy/KCLFd8+s0Vvr4wwBI4OREwVfNYGsY0C8XN1SEnmgGubdKPIE4LDENY7sdM1dxDt/NVB0F7pJSqbf5aRP4G8K0HNBztHvNNn9m6t5Ezo5TirbUQpcr6QK/M1yiU4kTTpzNKqHsWn+3FpLnCMAe8frpFI7BZ6MY0AhtDBBFwLINhL6PqmcRpwdIg5tZqxJ1+yGzN2+iifL0zYnkQM0xy3nmqQcN/cltJa49wUtQ07fDwbJNX5srr6UfZeNGulrPWVdfiRme0sc09cE1sS8jyMim6UPC5a6u8tRbhmCZfu91npuExVXWJs5xrKyNWhhHDJMd3TCYCi3PtCr5jEjgWN1dHqEK4sjRkruHhWT6ebdIZxbiWyeWlAS/O1A5VY1UdBD0ipdT/JSIfOuhxaHetB0BRWu5yiLMcxzSpujZn2xWKQvH1hT5hkuM5FmcmA6DcLhqn5RXQes7N+akKhgi3uxEvzdUwRKh5Np1hTJTlnGgEnG0HGwFKmhfc6UWkmeLayojX5m2dxKxp2p49TOAwjDM6w4RGYG/MHIkICsVk1SUvIM0VjmXw0mwdpRQiQpTmnJmsIAKDOEWhymr6WZlMvdCNcCyD6ZqLZ5m8Ml/j1fkGl5YGFAXlbFJSELhlA1UROD0ZEGU56XgWSalyueyw0EHQHonID2760gAuwuP1VBCRXxk/z+eUUj+x6fhrwG8CAvy4UuqLIvLPgdfGP/O/GR/7WeAHgFXg3yql/unjjOcwKgrFQj/CFGFqnAt0ay1kGOdYhsGpCZ+Gb5fFwIA4zbm+OiLNMr7zhSkc06AzSkmKAssweHG2hgCWWSYHtqsOcVbQChyiNOfqckZnkBBMmFtygU62ApYGMYJgj3duaNrZD/3Bxu2rH37/AY5EO0qud0ZkuaIbprw6X6dQ8I2FHmvDlJpn0q75W5Kr1wMszzaZrrv4tknNN1kZpGS5QgxYHSRc74wwDPjAO+aI8zIBG2Fj19d0zefVuSYFisq43UY3LJ+jH2acmggO3cWfDoL27q9vup0BV4EPPOqTicjrQEUp9V4R+Q0RebdS6s/Hd/8C8MNAAfz6+Od8WCn1pohcAD4M/ND4sT+plPrYo47jMMvygj+/2mGxFzPb8HAsg2ZQ7oq4uRoSJjnnpyoM4oxLiwN828QUoTdKyQrF1eURF2YqzDU8TMPAd4yNnVg13+LGyoivL/SZa3icnaxS9y0KVc4WTde8LVduvmPybecmGUQZvmMequlgTdMOXlEobq6GZEXBiZa/0fQZynYV3VFKa7zk5VgGWV4WMxQRbnaGfO32gEGcUXVNPMemKBRro4RumHKiFWwERXMNn7lGmTJgisGby0N6I+iGCQIEtsWXb/VZHuc7vvHcJCdbPt0woR+njJKMs5OVjcKxWV7g2SaebeIfoiKJ63QQtHf/s1Lqk5sPiMhfARYf8fneANaDl48B3w6sB0ETSqkb45/RAFBKvTm+LwU2F2H4JRFZBf47pdTnH3Esh9IwzikUhGnG7W7Ey+M19bpn8dZaiKD4o68t0A9ThklZNCxwLBSK5X6EQnAskxdmqpyeDLjTDbm1NqLh2wzijH6UcbMTstiLsU0DwyinfeMsZ6LSuG88piHbdpxfGcRkhWLq/2fvTWMkvdb7vt857157V+89Oznc76IrUZJ1I8lOLDsOEiAf4iCQ7Q8GEl8pFuAYBpwgkAMnjuUEEJDEMhA7F0bgOEAiJzDgBAgMCIoUQza03UXkvSTvJWfIGc5MT2+117ufJR9Odc8MOcMZkkPODKd+QKOr3uquervQ76nnPMv/v9T5eSq4PfuzZMmDMsnrEw/DYVrdIYD4/iDDWpiXipe2O5xfbZJWCg+4PsoolUEIJ6kR+oJpXnNjnPF/fXeXSV7zlVMdfu6VLZJF9mZ/kvPOQlDxYFbSTQICKYhCiQUuH85JS81aKyJfWA35ngQrMNatabNCkQQea60IY9306nGP5JPEMgh6cP4e8KMPcOxB6QGXF7cnwCu3PSbvcRvgvwF+bXH716y1/+UiO/Q/Az9ztxcSQnwD+AbA2bNnP+HpPn40I49eErArBf1myKxUdJKAShlaoc+lgxm1cR44nhSkRc2XT3fJSk3gSXxPkNVu0ZACbo5zrg5zTnVjNjoRmVJYLEkgqZShrDWR56GMxVjDg/gPT4ua3XFxcv+DGkZLlixZAi6bLKUbPb/d2R0g8iVFbU6yOZ4UdOKAy4dzJllNWim+drZLI5TklWFa1ESB4ObUDYd878aEM6st1toh3STg/WHO5YOUwBMczktGqZusbcY+sS/oJD43hhmV0rw/SAk8D20MYSARCLJaM8kVAM9ttp5o/bJlEHQfhBA/BXwdWBdC/LXbHuoAnyb3N148x/FzjW97zNztthDirwJvWmv/JYC1drj4/s5HlV+std8Evgnw6quvfqo+pscJ35M8u9FCG0taavLSXZT9ZsSXTneYF4rDecHepKYTB/SaIW8fzNHaEviSl3c6jLKKUln2JgWjTNEMPXYnOZNCsT8t2OrGeEKw2YlZaYa8d5QRhx7jTLHVvf/l492h87PMAi1ZsuTuxIHHi1sdjLUfGjN/Zr1FVqmTPpxjQk9yc5KjF+amZ/pNauWGNL53fUroSZqLIRAhIKtcdufGOGOYVZS1YqubMM1rfE9QK0OtQSBIa00zDvjutTE/crpHFHg8v+EUpK+PMkaqRognf117sgb6Hw0h0MIFjO3bvqbAn/0Uz/u7wJ9c3P454Pdue2wohDgthNjBZYkQQvxpXDD2t49/SAjRWXxf4ykNaOPAI/I9Sq1JK83eNOfS4Zxm6HNmNSEOPZdWtk4luqwUZ/oJL211aEUeWMEorTicFVw5mnN9lC1k5y3GWC5utHj5VJeLGy1GacX1UcbBtKBUDyYL34x8Lqw32ehEaGOfKDn5JUuWfL54UtxVZ8eTbjr1uJw+K2re2J2QV04BerubMMoqGoFkktfMipr9acFKK+RLp7psdmPePpgxzSsO5wWjrCb2JWmpuDHMyKra+YYFEq0t6+2IfhIQ+R79RsROL+bZ9Vumz6vNkLx29kPGPtn76qfyg/PjsFCK/hdCiH9krb0qhGhaa9P7/uL9n/c7QohCCPE7wGvA+0KIX7bW/grwN4Ffx02H/dLiV/4eLvD6bSHED621vwD86mKSTAJP7bh+I/JYbUZUSvMbb+zRCH1O9xp4UmAtDNJyoZ3hk+47XYznN9tUyiIFvLk75mBW8fbBDF8Knltv8dWzEf/Gi+usd2LmpeLt/Rk3RjmB5xYJay3zUtEIPPJakwTePft9WpHPjVFOpQzDtOLlnaW+5pIlSz45V45SLh+mJIHHj5zp8r0bE6aFYm+Ss9aMqJVhVtQY4NLBnINZQVYbDqYFQsBGK2aUlkxzxbtpiicEX392bdFY7TMva9a7EVmlubjRZrt3p91PWmmS4NZ02P28ENNSYeEzVdf/pDx+Z/T4siOE+Oe4rNBZIcRXgV+w1v7lT/qEt4/FL/iVxfHXgZ/+wM++cJff/4VP+tpfJLa6MZ4U/N67R7w/yFHaNSFvdRO6DZ/zqwnGGA5mFdYTvD/IqbRho5UwTCvSSjNMS7JSEXoe1kK/FZJVhm9fHVLVljOrDbS1dBKf0PcYpjWzQqOMM1UNPMGXT/XuGQgdH5bL3OuSJUs+BqXS1Np5hNXacHWQcmXgrCq0L4l9j6zWWAu7k5yjWU2lNV87u8L+tOD9o4yrRylh4PGt90p2ejFFpbm41uLN3QnzUtFvRWgLO70GtTYIYbk6yFlphJS168jIKkVWaVYaIZ04YBhUWHv/ZuhpUXP1yHmNnekn9BoPT0j2YbAMgh6c/wH4N4H/G8Ba+5oQ4mcf7Sk9XbgFIMNay5l+42T34UtBI/SIPM9ZS1h4fquNLwVb7ZhxWnNutcXzmx5v7024fDRnXtZMcsWFtRYHs4J56fqBTvcbbHUj3tyd8NbNGaEn2Ok2aCUeG+2IziIlPcncFMdgVnFtnNEMPVYa0R0GqVmlsPbY+qLJNK9pxctLbsmSJXdHacM4r2ktxAhLpXlnf461sNmJEAIu7afMCmd/sdONee3GmOG8JCsNp7sJo7yml0S0Qo+6GXI0q+i1IgIJh9OScVqhrKGsjWsJIGCjE/H1i6s0Q5+392cczgo2OhHzUjMrauZFzZXFhFpWas6uNnh+s80wrRhnNWstcU9zaaVvlctq/fiVzpYr8sfAWnvtAw3IywaPz5FpXpOVCiEE46xmq+uCoBvjnFFa04h8dnoJZ/tOyv31ayPePUo5nJfklUYZi+dJJDBIK7pJxNt7U947TJnlitAXC4HFJm/tTZjkNWWt2erECAHvD3P2JiMubjQZ5zVn+03iUFLWhsiT1PrWv8O8VLx36Kqmx7uf1VbErHC1934z/NAEyJIlS55urg4zslIjJby01TlRYAa3qWpGHuO8ZLpYm/7lpZxGIMlqy0Y7JAx8ZF5zc5qTVZrAh1bk8cefW+VwVpBXiveOUrbqEKzgcFYzziqSMOS1a2Oe32zyzv6MujZ0k4CjmQuaamXYWWksRGfdCaWlOtFVU8ZweqVx179ppRFQa6dIvdp8vLJAsAyCPg7XhBBfB6wQIgT+CvDWIz6np4pKG94bpISe5MKau+AmWc1wXnE4K7l0OKObhFwb5gzTivcOZrx9kDIrFUVlwGreH2T4vs9WJ+D9wYwo8EmrmkJrau2k5P/wyoDr4xxhYaMZEvuS3788ZFZojHVS9P1mSBJ4pKWivcju3D4mWqtbA37Vbbev3qb38eLWx+sNKmpNWiq6SXDPXdeSJUueXI4DnuPvR/OSm5MMC/TrkMOZ68d5f+EPprTbgDXigNMrDa4PM6QQ3BjlHAUVVa0ZZxXtOOD8SsK3r4yZV85y4znjrIaklHi49WWSa25OCjwp8D33+pWyKA2nVhqMsorVlgtkPClO3OSthYNpQTPyaX6g70cspmsfV5ZB0IPzi8DfBU4B14Hf4FbT8pLPgaI2XFhrAu7iHWcV14Y5o7Qiq5wWULGoX5dKc/ko4/oopxFK0kpxMCnJKo2tFMpq9qYlkS9JIp+ttjMQvD7KGWWKtXbgvMJmFZeO5tTKstGOUday1grxpEBKF/iEnnSGhdzKEvYaAZV2kxNrrejkeOi7zJH/MZuDjLFcXvj3TAt18j4sWbLki8PZfoNxVtGKfQqlee3amEoZ3jmY8cLmsRhswMW1JkdpRVFqAg88LJcOZnTjgO9emzkxw1Izyyu0sRRK84dXBJOywhjIK81aI6S9sAN6aavNK6e6XDpIT/SKhnN1YsJ6bi3BWCc/Mi9dxtuTgp1ugicFh/OCcVYjRMlL250TNekngWUQ9IBYa4+AP3/7MSHE8pPoc8T5eLlJrCTwTgKeRuSjLfS1JQ4lL2622Z0UXD5IiYKCQhmyUgOGtFYYDYEUaAtWWM74TYap4miWUxvY7llOdWPO95tYIzhKS2Z5ReAJTq002e4mrLcjzvYbzMuaG6OcUmvsbaOiQgjWWxHvHqW8OZ9ypt+gmwQ8s9YkrfTHnpKw3NodPukjqUuWLLk7oS/ZWGRNSqWJAo+0Uqw0IkJfEvmCYaoolGVcVg3AFH4AACAASURBVOyOC2rt9HySwGOjHTIvFQhB7Et05HH5MHVCix54wpmbthMPixOSvbjRYrOboLSh2/CotGG7EXM4K9nqJuS15qtnVpDSKVGvtcKTwMwY2OxGH6kVpLSh1tb5kD2GLIOgB0AIcQrYBl631lZCiA3grwJ/Edh5lOf2RURpQ6kMjQ94cLXjgBe3bk0i9JvhiTHq/iSnmwSEvmSnlyClYLUVsJXH3BjmxIFHWgmwTn1ykCpCzwUX7w9Seo2QTCm0gXnp8eJ2B4PbBVUTzUYn4sxKk7P9Js3IPzEKtPZWqneS1yeu8gB5rckrzWBecjAr+MrpHmutiG7y8UtZnhScX2uSloqV26YrjgOvpVfZkiVPNteGGZPcObu3o4CtbszPXFxjlFUM08oNVkQ+W13Jv7p0yOG4ZJRXGG1RxlL60pX2S0O3GTDR2lkLKYMAlIYkkCSxZKOdMCk1K4nHzUnBuFBsdyKGaU078mknPrJUKGPZ7iQUtea5zTanes7KIy3VialqURmXwcprmqF/RxZIG8s7B26Sbb0dPZbK0ssg6D4sVJp/GbgEREKIvwv8d8A/Bn7sUZ7bk84wdRf3Wis8GZs0xnLp0JWfeo2AM/27N9sds7ooNeWVxlinenptmLM7zSmUYbuboCzsj3NqEzLP3ZgnwgVDAokyBk9YhJCEHqw0Qq4O5kSBx6leQqU07TjkKC05u9qkEXonF3or9klCSa3tHcEJQBJ4NELJu0XNZifmYFreURr7uLQi/44M0rxUXDlK8aTg2fXWHa7RS5YseXJwZqfO/uLmOOfiRhtPlpzpN/A9yQ/2ZlTKGZV2Y8lWN2arlzDIKnpJQBR4WGMYZzWTTDFIK3rNkEleYXDWBnHosdkKKLRASkFWOYX9m5Oc0/0G683wxBi11/B5dr3JWzdTilpz6XBONwlOslTNyGejE1HUms1uhO/Ju65ttTYn02HHr/e4sQyC7s83gBestUMhxFlcMPSz1trfu8/vLbkPu2Pna7M7Lm4FQdZSK3fR3EuV2RjLKKuIA49G6DEvFRvtiHbsk5aKb18d8dbuhEpbVlshX9rp0Aw8rg5SBvOCtNBYoNuQVMrSa4RoK1hvxWhjaIQ+b+/PyWvNTzyzwnorJvIlxrpennFeAa4S6knBxY32yblli6bDThLQiQOeXcjMT3N1V3PVT8M0r7HWjaCmpSL0H7/Ji8eZpdHpkscFKQUrzYDro4y0dJY92z0XcBS1ZlYqskIRB5IfO98nWYzPK2MYZTWhhKKCrFQUStGJfA6nOdNUIQUkkWS9GxP7HquhRzvySSKfWaHxhGWUVoDgpe02nUbAWjPinYM5w6zk2iDjlVMdhll1EgTBg/kgxoHHZjciK/Vj2xy9DILuT3GbR9f7Qoi3lwHQw6EReuxNChqhh7UWIZzWxKmVhFlRs96+e9bk5rRgOK8Qwpmozgu9yMxYXr8+5rVrYyZZvRhTt3SSgED6HKUl80JjPdAaSuUmvVYaAYUyFLVCacPeOKe2LiD7g3eH/OvPb9FtByDgvcMZtVFsdWK6SfihOve1oVOGHmc1r+x0EEJwbrWJNvahNwv2m67+7yT1l5fykiVPMqd6CaO0ZrubYLH4UjAtahqhx2ozJC0UUgi+d33EG7szvnVlRF4pplmF0paDWUlaVggh8KzlcF5RA9aAqQxBWvO1c01CKfA9j2c3muyOCi4dzElLQ1YpamMZzmvSQnE0K9gdOR/FvUnJl071mBU1N8Y5se8t/MjcmlbUmveOUoSA86vNOxSkN9qxM5p6TFmunPfntBDi1267v3H7fWvtX3kE5/SFYLUVMkwrpHROxhttt1PoN8OTD/gb45yVRnCHpo4xLlNkLSdqppUyvHs05/o4Z5JVVNoynFfkWiPHJZvtiKxU1NpwbN+V1ZZKaW5OciLfp9IWZS1ebVBWY6ygDgTvHs0Q0mVbSg3XhgW/9YMDvnyqx9nVxoli6iSrOZgW+FLSb4V39Ol8FtMSceDx/OZjvLosWbLkI7HWcnNSYKxlu5uw1Y0ZZxVSuLI+wPm1Bhc3WjRDn8CTXB3MeWd/xlu7Y3YnJbEHhTZUtUFZXDN1WVEqJ2QnAGMhr2uuDTMCKQl9wVo74k+8uMFKM+AorfA8wbxQ+FLwrSsTjLUczko8T7LWDtnpJVwbZtTKUitFXuuTdXma1ydlr1mh7muj8TixDILuz1//wP1vP5Kz+AIihSDy732xXB2kbiQ8r3lp+5amzkY74mBaMJiXxKFHOw7Y7sbUWjNKKy5udjDWMMwq9ocZUniEUlDUitv7h42FysK40DQDMAY0Fqyh3whJAkmlBMOsRhzO8TxJI/A5nBa0I59xXrGlbqV4r48z2klAUWueWV8ODi5Z8iQxyWsG85Jew23CPg9GWc1gXgHOEX6jE7Pedor1lw5mrDRCTvUSkkVZqag0UghKrTmc1ZRKk1f2ZODDGKjQSOGCH4k7LgVIJKO0wiDwhGCllfFnXtnmK2f63BhlbHViTvdjfuutQ/bnFb3YZ7Pjeo822hGeFHSTgHmpiBZ2Hcd0koBhViEQdJInK6x4ss72EWCt/V8e9Tl8UUkCjyiQhJ5k/S5NdYEnKY0h8O7MouxNC8ZFze60QCLY6SU8t9nm4kbbjW7uz7gxLtjqRFS1YpjW5JViXhpqdfzaYGpQgFKQGk0n9jHKEIUh2kg0gn475Ey/QV4pVpKQ82sNtrsxUnqEniSrFG/ulqy1nHiiMZr1dnRXJ+jbcSJkho12tBQ+XLLkMWB37HwHs8plnx/2xOXepKDWhq1ufLI+RL48ERw83hAa43p09qcFw6yik/gUtdMcU4tpq1AKPOlkOQRghCt7CVzA43uCyLNMS/faFkCCMqC0oh2HSATaGP7E8+vMipp2EqC05cWtDkU9JvAEL2y1aUQ+F1bdpm6lGdK7y3sTB97HFn99XFgGQUseGTcnBWXtPGzKxeTD7VxYa5KVmmbkjltrmReKvUnBcFaxPylIAt/Vy0vFZiemtsaJG9YWYQXaWopaMy8VWhkMEAgQCDzPstD9QhvQVhH7EpQmF4ZWHNGKfH7ywgpCCIwVvLDZZpSXYOHZ9RY3JwU3xjnvHaV89XSXrY34jh3S3ZiXipvjAnB9R/eSm1+yZMnnRzP0TxzRH3YANF3Y5YBrgj4eNW9GPhc3Wljr9HtqbfCE4NLhnOujjE4S8u2rI64OMm6OM0plKCrF5cMZZW0xxgVQBgh8YFEOC+Qi8Kk0WCg1hFrTjgJiH7qJTxgIDmcFv//egF4j5ELgnfgcrjQDNtoxncRZXty+Nn/R5DiWQdCSR8ax47pYCHh9kMCTdBtux6S04fJhytVBSm0MvUbAj53rsT8tEVIwmFd04oA01yhlOExLfCFIQh/fqyi1PqmPawvSWKy58/UqDSUWW7uJCSkEXzm9wpdP9YhDHyHg5jjn8kHG0bxAaePExCrNaitkXilOh7cCGm3cLi2vNZUyJzso/za5+XCZBVqy5LHgTD9hQ0WfyTUZercyPvEHpCziwGOUVlwf5QgBrdjDE4KsNkSBpqwElw9nHExLlNaMspq0tB8yrrQKktAFOAaBsJasNGSLadtKwWY75NRK40RSI60MhXK2GvNS0Yx8Ak/Qa4R0E2cWfWNccDAtObOSsNlNHvp786hZBkGPGCHEfw+8CnzHWvuf3Hb8S8A/wH1u/8fW2tcf9Njn/kd8Qna6MY3AIw68j+wNAjhKS64PM+aFwgK9rs/hrOLGOCf03Ph64AnCQKKBstZUQCgl1giMhtq43ZEAjIY4BF3dcsGtNYSeQOF+rlSGae6m0HZ6TjDs0v6cae6UWntJxpl+k69fXGWS13eU9GZFzdVBdmIcGHiSQmm2u87c9eJGi0obOvHDHZtfsmTJJ0MI8Zk19MaBx3ObLbSxdzVOzmq3ClkLtbJ04oDVZsBgVjEraiwCYy3aCuJAUitDqV0G6Bi37rkNoyc9kILtXsQgrdHW0ol8zq42+MkLq8xK5z/WjAI2u66/sR37TBZr2+3n/fq1CbW25LVmtfXFK98vg6D78IHJsA/xaabDhBA/CjSttT8jhPj7Qogft9b+4eLh/xr4edz/+f8I/Lsf49gTgRCClfs0IA7TiiuDOUezirzWZJXiua0Ws0Jzc5zTDD08KWlEPm/sTskqRS8OGPoe+7OSduQjhEEtAiBw3zVQK0hCgTUWIQWtyCeUgspCKKERBaSVJgpd78+l/TmDtODGOMWXUCnn9rzZiT+kgZGW2mn4GENZW7qJRJtbdhfxIvhb8vmy1AZa8qj4qI3eeiuiVobAl6w3A4bzkssHPlNPMc4rWoGH1405SktiGRB6kv1JxQeS2WiLGwDBEgQSz5NstEOw0AhD1psxl45SbgwLAl8yymq+eroLQpKWmsi/JWgohVj8nisTJoH3RHmCPSjLIOj+/CLwfeD/AHaBh/lf8FPAby5u/ybwx4DjIKhvrb0GIITofsxjXxgG8xKtXVBxbrVBe9tnVtR8//qAm9OCxPd4frPD/jjn+7tT9iY5lw9ShllJWtZgDNosOgZvs9wyQGXAR5DEPpvNgDj0GeWKfuyRhD7WuDT2O3sz1tuKeal448aMqgZlLVYIpLj7rmilGZBWzmG+HfsoYz+VWvS9yCvNKHPijB/Xj2zJkiWfL9dHGUXtMsKBJ9mb5lgD272E8wtT5Ev7M36wP+f6OOX6OKcVeoyzmnmhGBUVjTAglHyoHAZuXZsXlkYMdamQcUgrDNhux8xLxXeuj53Zs4ZeMyDwBN1myCRzk7OrrYhuI0RreyLu+rWzPUql2WhHX7h+IFgGQQ/CNvDvA/8BbpjonwD/1Fo7egjP3QMuL25PgFdue0ze5faDHrsDIcQ3cMrXnD179pOe6yNhpRlSKsMz6022ujGt0OOfXh6cjGlutEPe2puQlYpvXRmRVRrfg/1J6QIET+JLQTNwukDK3EohW0BYQ63B8yKmhSKvFIN5RTfxeXm7w0Y75tqopBOHrDQDmrFHpT2UtnzlVJfbvUxrbTialySBR68R8ux66zN/f94fZlTKMEyrE3HGJUuWPH7sT3Nevz6hFfpY63oFrw4ylLY8W9R85XSPG6OM3/rhAW/emKC0odKG94cVw7RECEFZGzyhyaoaiVvDPNzCXy1eRxuotSb23c5vpxMReAJTusGS2Pc5v5awvZLw8k6XcVYTepJeI7hrdvr2bP0kd4bRjfBOscT7USmDJ8VjmUlaBkH3wVo7wPXc/IOFkerPA28IIf4za+3/+imffgwczxV2FvePMXe5/aDH7sBa+03gmwCvvvrqY29Bbq2l1k7Nea0V3ZFBuTZMSULXZKi15cbCeuOdgxm7k4LQE8SepKgNlTJu5N2XTpMoAFPak4RQ4rmSV+B7ZJWz0khLRaEMkS8YZTUv73S4cjSnVpqXd7r8axfXeX+Q4QmnX3QYuAbp9U7EKK2Z5DVw73LXtKiplaHfDB9KwHK8qPieWAZAS5Y8xgzTGmMsP9ybcnWY4gnB7iTnTL9xspl66+aUvUnBtFQkgUQp1xJQ1BYhDFJY6rpGGIu3GHmPfFDHNX7ch4A2ltAPWGmESClZaYVMcsVaN+JMN2FnpcFKM6STBFwb5pztN7g+yjmaV/ie4MJa867lu8G8RBvLrFAUtXkgZ/jjpm9nMfT4eRwug6AHZNG/8/PAnwL+OQ9HNPF3gV/Aldp+DvhHtz02FEKcxv1PTz7msScWay3v7M/JKsVmN2Z7MY1QKcPr18e8czAnEIJTvQZxIHn92pj3jlKO5hUC8KSz3ciVYZSDqjV1ZbASAk8Q+ZAqVx0rNbSxNCOJ0nCqG9KJfAZZTW0srcVovicFb+5OsRZe2Grz/GabSV4jhLPJmDc0hTIn6WMhFvX0D5BViqtHGQC1tg/FUfn8aoN5qQg8yTv7M7S1H5KtX7JkyaPFGEsr8tnuxmhr0NqyNy3Y7MastSIubrisceALhmlFO/I4329xNCsJPChKQ64h9N1zKQPlsYu7Ak+6jJDF/Uwr8vEExIF0HowWNjoRz222MEbQjgO2OhGjtKIZeWhrUdpgfY9auSAnat0lK9QIyap8MczyYMFMujBO1cZSKL0Mgp40hBD/FfDvAG8Bvw7859bah2KHa639jhCiEEL8DvAa8L4Q4pettb8C/M3F6wnglxa/8qDHHkuKWnM4K2lG/j0VWYta88P9KUo7GwpfyhMdoMNZSex7BB5sr7Q4mlWcW2uSVhohnQrqS9sttjsJUgrePpgzzQ1VbdEGlLHU+lZ7kAayStNODMYIbk4rzq81yZShTCvSUjHJauLIcy7NFtZaEYEv6SQes0IzzSviQBL6kp1uTDN0GaC7Xei3l84sDych53uSXiNc7BbdqjjKqpPgccmSJQ/OKK0YZRWrzeihGR4Xteby4Rxr4cJ6i9VWxMGsIAw8NtsRw7Tm0sGMwJccTkuq2hmjvjuYkVeKRuAzFQrfg1JxUgY7xgChgEYMq42ISkO/FaKNZauz6D2aVTQ8wWBes9ONSULJJFecXmngS0EnCdjYaPH+KENwby/ClWZ432GWD7LWiqiUIfAk7cewb/HxO6PHj/8CeBf46uLr7yzKDgKw1tqvfJonv30sfsGvLI6/Dvz0B372gY49ThzOSopas9GJeGN3QlZquklAM7r7WLy20I4ChmnFOK/ZmxQoY1hvRay1I/YnBRfWmpxbbVBrw96kQFtLa+gxTGsXPJU1IJyImAXfgyTySCuD1XeGH6WyDOYlSgsCT5CVCt+X1AtDwp9tR3xpp8vuJOdUL0FbS1U6w9YXNltc3GhRa+c8L4TT17gXzcWIaqUMqw9Zlr8V+QS+QBt74mW2ZMnTTlq6Hr9O4n/ktXnMcXm9qPOHFgSlpcIssja1Npxfa3JqJeGd/Tlv78/IqppZoRAYfv+9ITenJWlRMa+0c4WvXam+1hB4Thm6um0RkziBxFbk8cxGh61OxLtHKa3I43BecrrfYC0IUdYQ+x7dRkgvCdhZiVkkaWjHPo3I5+JCAHaU1mx1H042OQ48nvkc+iM/Kcsg6P5ceNQn8KSSV5q9idOcGKYl47xmmjmDPl/ePSXaDD2e3WixMi/JF9oZAucu/+Pn+xhjmRY1CIEUglpbfvxcH6sts1zx5u6E0Pdoxz5poShr56vjCY3SH26acguexRiLts6V3hjwfcF6K+Liegu7+LlR5pztNS6T43uS4GNqi9weoOyOc/Jas92N76od8nEIffnEytYvWfJZcX2UUynDtKjpxMGJQOu9SEKPrNQ0HqDX5UHpJgH708KVzGOfShmuDeb83uUj5kVNGEpWGhKz2NTNq5pxVpFVGqVdFvs45hHG2WIIt6whcYGRWZz7vKp542aFwGIQnO4l7HRjosXGbqURYoxlXNT065DE90gin9VF3+XBrGSc1SfvxdOwoVoGQffBWnv1UZ/D40ipNNPcjYDfKwjwPYGUztQvDnzWW4Jm6HNhrXnPKQEhBJud2DXeKUMr9tns3GqMPkpL9iYFB7OSvWlOWmrSosZi+N7uhLxyo5y11hhpqRblr9qAvEsF6rh1J/YhDkN2Vhq8st1mnCnCQPLuYM4sVy5ACn1+4sIqQrid08eZjHj3cI6xluc32/ieJK/0iXHi/rTkwtryUlyy5GETB/KkFPMgl+sza03KxTDFB5kVNeOsptcIaH+EyGmlDJO8PlkblbEuIy0F3702wRjLH1w54gc3Z3QbIS9ttdhoxbx5cwIIVK3dZJiyKOs+pDWu5+dYoMXj1oZOCujGko1WxKTQjLOaVuxhLMzLGqVj1louANxoRxS1QRt4b5Cy3owJC4Uylp1efPJ3C8ED9/w86SxX3vsghPgPcVo8v7q4fwNo4/4d/1Nr7d9/lOf3qLhy5EazB6m4ZwYi8CTPbbSptKEVOcEtLPdNM+eVPlFWDX1JqcyJMrQvBZO85q3dCTdHOdKTeAsril4S4gnnrIywJL5P4WkMkFcLN2U+kA06dluWgq1OxF/4ybN89cwK/8/re9wYZ/yrt49IfA/pS77+7CqV1pztN1GLcfhm6J9MSIxSp2DdjHzO3zY+en2U8dbNmXs5IXhpu0PoSwJfUCs35TEv1VLnZ8mSh8zZfoO00iQP6Af2UarR14Y5epGJfmXn3pJs7w9T8spwMIOXtztYu/D3MpasVKSVYm9SMsgqtHUO7IfzEqUtzUhQ1pq8NljcB3QUCgLrehqFhTjyMIVGLzZ1xkJRw/68YqMdEkpIj6djhWCQlqSVohUG7HQTzvRjDqYlSShpRh5XB9mJb9nzm22S0Iki3k/F/4vCctW9P78I/Jnb7h9Ya08JIWLgN4CnMgh60Mbe0JcnTcIPmlptxz6dxKfWltVmyN6k4OogJfQkX9rpEniCtNQoCxGWZzZaLoAQsDfJWUlC3h2kaAMYy7xW5MYgF0aDx1MUFreLqgz4xgkgDuYVlw8z4kgyLzXjQlEHhvUwxhi4Osg4s9Lg2ihnXiikhBc22wAMswprYV6oOwxh4+DW7urYPdqTguc32kyKiuvDgkmm2OnFJ2npJUuWfHqEEA9tcxH6LoP7cTMkSehxpp9QKsNmJ+b7N8Y0Q49eHLDdjnj92phau4msUVZTKM2iE4DQg61OTBx4TPKKUoE2GiEhss493hdgrSEtaurYJ/A9AmMxRlBWhnOnGigjMFjmpeK5zTanegmrzZBZqdDWEnoex8n5T1uaf9J4uv7aT4ZcaAUd838CWGsLIcRTO4JzfrV5Umd/2EgpOLfaPLnvprQUngQEnO032exMmRU1Z9eaXFxv88p2h3OLcyprTfOaz+445btZiRQSTxoC6ewwagtJ6AOGWgtyZbBIVhKf79+cMcndInNuJQGcCepWN2Za1Pzw5oxW5HE0rwikpN8MeOdgjtKWJPSQ0pXNbl8od3oNfvo5idKWjdvsNaQUyNv0LWt978AyqxTa2I9Mwy9ZsuSz48Jak7RSNO8TJJztNxnnFeFtfY/HTdm1NpxbbaKsxZOCSrvSWZorSmMIhKQVBdS6pqoNoS9JPEE7CQg9J5Y4zAWVcp6EG+2Il7fbvH2QUmiD73tO9VkZPCn58fM9fvRcn3Fesz8p2OzEvHMwY70VM8lrLm60eGGzzfVxTr/5dG7AlkHQ/bkj72mt/TsAQggJrD6SM3oMUMaZ/H0eejRr7YjDecG1Yc6Vo5SXdzpc3Gyz2oqY5jX70wKLpayN22VFPj91oc8/e62gGQbURuEhCQOPqlI0ggCkC+R8KZlXGq0M/VZMKCW+J2iEPp2ez/n1Jhc3WsS+x7eujjAWvnd9QhL4xKHH6X5CXrkCmxTcM02+3r67JlC3EbCpIpSxrLfvvgilpeLdw5RaOy2iMyuNR6a1MS1q5EPcXX8eLP3ClnwSxpnzK1xrRQSexJPiIzd9g3lJrd11XNaG/azkKK1ONIAqZXjnYEZeaVabMX/6lS1++4cHDOYVBlf+n2QlvUZIHHqMswpjINeWrcDnQr/JwTxnkE2RUtIKJefWmlzYaHNxs8v1cU4n8Slrw04v4Y8/t+bc5IXg/GrTlQZLzXwxEjZMK/anBXllqJVld5w7/8SnpBfomCdnJXt0/IYQ4m9ba//GB47/LVw57KnjaF5yc1wgBC5A+IwDoc1OzBs3JoSexw/2Zuz0En78fJ/ro4zvXh1jrBvF35/m/NGNMRh4c3eCUpaVVsh2P0EKweG05HBWgoDYdwva81sd3tidUimDL13pKq8qVpoBp3oJpXY7qn4r4sfO9xmlFVmlGGeKbhyw1U0YzEuuj3KiQPDeUXqiGfSgjdMbnY8WTVSLDNHuJGea1yhteWGr/anf14/LsfIrwLm1xmeSBVyy5HGgqDXXhjnDtOSqn/G1c707emTSUuF7t/pm5qXi2jBHCDDWnggE5pVGKcMor07U4iPfoxl53Bhn6MW6s9qK2B07xeZeI6DfDmmEkmGm6LciDG6ia29W43seiYUo9JkWmsO05OsX1rm42ebaMOOrp3t0mwEvbLb54f4MY1wpb6sTUyjN2X7C7qSgUobDmVvPnrYS2O08vX/5g/PXgX8ohLiEEzQEpxf0LeA/emRn9Slx4nqa9XZ00qfyoFTKZT6shUqbhx4EDdKS/UnBdjc5Eeba7ibcmOQUlebqIOWlnQ5lbaiN4fow43S/QVrW3BgWVFozSN3Y55dP9fhTr2zxnatjfuftfWptiAKPtVZIMw5dUKFcw+I8lpQz2O7E5JVBGcveuGA4rzmYlrx6oc/zm20G85J5qVhvRTQin1Fa0YkDrg5yeg2f2PfpxP5DK10dZ4tGmXsdYx+sH+tho8yt19UfUbpbsuRJRwrB3jTnylHG6ZWE/UnJ2dUG4DZce5M7N4HzQvHeUYonBeutkO1uwtG8JPQkf3RjzI1hzqmVxPkYRh6zomZvUiI9SVpppkWNMpbAl4xTRVkbVhoRp/stGqFHO/KY5IpeHJBVmlYkMVa4tW5ec+lwytl+i5VmSLCwG/IXgyml0jQCj7RSJIFHI3RZbG3sSUmtGfk0n8IsECyDoPtirU2BnxdCPMMtg9M3rbWXP+LXHmuKWnNjsaNX2p5c3A/KRjvCAsF90sOf9Nx+9/KAWlnevDnljz3T5/RKk+e32hS14sYkZ14qstK5p++OcyZ5zTkBg3lN4kun+WMsceDxI2dWeGatyd4kIw48NtsxXzvXIw48xnlNUbn+nzjw8JGkpaKdBJxfa3J2tbGQAtBEvls0wO3abm9gPl44GqGHFOIzmazY6MS044BxXtFLHq7Q4oOy2gwx1iIE9B6SkNySJY8jxlrakRN1hVvDDeDkQcBtAuvFJrDWhtP9GKWgGQd0E/d1MC3Auuc7mlU8u+FK8LNCsd2NmRUV2jYxWjAva2ZFzfVRxnQxdLHeCfGFoNSQBD4XNwNWWyGDtGJe1lgrAvW/LQAAIABJREFUSIuarNKsNAJW2zFn+40TRf7jwZR3D+e8e5giheDrF/vEgc/5tSbjtGKQVmS1fmr7DZdB0ANirX0Xpxz9xCOFQAh3Efvexzfd9D3Jqd7D7Qk3xvLuUcowLamVYX9aMsoqPCHBQhz6JJFP5PuIRZ07WPTu9BZiZMYKdlYSpDD4nkdeW26OM37vsuW71yYczWsaoeSHezP6rZB27DMpFF861WaaabJKUWlD4LnJrVO9hPVWxMHC6uNe022bnZgk9AgXWiSecOKOD5sk9EjCR9eLL6XTcFqy5IuOFILAl7y41abXCO8oWW92Yqx1OjrHgcN6O6JU+kPWEN0kIK81WaUJpOR33jkk8CQH05zNdsJ2J6HXiDicFfzoSpejWcUkrxmkNfNCkVeaRiug0s7LUApBvxEyTEtWkoBWHBD5Hv1GROB5zmYj/PDaM0wrp0ot4HBWcabv04p8skohhcAYV9J7EEPULxrLIOgpJPQlFzdalMrQuYdHzOdNVmvySjPJFbXWdBOPftNNiB3MKwKpyCqFh2BeKqcb5Hv0WyHdJMBai5CSDR3x0mab77w/5mhe8fZByg/2ZxzOS0qtsaWhGXkcTEpqpTmYlkyymn4jZJwrpoXijd0JAsGPnlvhx8/32ew4XY0jyjsc7W9n2R+z5H7c3qB95b/9tx/hmSy5H1cGzuX9bpYPgSc5078zex4HHhc3XJ/eJKu5Mc5JQsk4rU48D985mDOYlQzzCmMtyliktLy00+Pq0Zw/uDIiLRWr7ZCjeYkAKg2T3E3h3hzntOKAq4M589Kw0Y5oxwFJ6NNvhfQaAUIIhmnNTu/Odf2ZtSbTvCYJ/DvWql4SMs3VU53dfTw+AZd87sSB91g5jTcCj0bkkVWKs6stmqGPL13Wqd8M2R0XC38uCEPB9WFKHPq8st3F82B3mNNNfALpsd6J2OpGVNqgraWoLEWtOdONWWmFZJVhlJWouaVSmtj3aISSZpwwyjyscaOro8ztnoZZxbxQTPKaVnRvhewlS5Y8ucyKmpuTgtiXlLXzB7zXcIMxlhvjHGUsa60QC7QjpyJ/lJZoY7m0N2eQlUxyRSvy6LdcOVvibHkG84rED3hrd8I4r8lr54/x4kaHZuBxMCv5ifMrVNpQKH0iy7HdTai0ZasdEQaSThK6SVdPYqyleZfJzX4r4mefX8dY7uj7Od4QP80sg6AljwVSCp5dd8HPKKsolUZrQSdxuhdy4RWmreUP3xsCgllWMS9qPCnQBura8tKZJt+6MmKYVqSl5sJasvD9cnXvndBjs5MwfL+irDWh59Fr+Hz5dI+feX6NwbziaO4c2be6EXEoiSrJHCdw6N/He2jJkiVPJkfzirI2lLVhre2cz+8lXjorFOOsRhvDlcGctWZMvxVyqpfQjn2uHKXMKkUnCYgCjy+f6jLOKrBwvt8gV5qjec21ccb+TLDSChjOMza7MZUxKONaFQ5mFUJYjIFXL6zwldNdfOECqHbDZYeK2pBWmq+eaRJ49y7FfxYl+i8CyyBoySPlxjhnlFastyM2OzFbXff1L94+YDiv2Zvk7PRuTYkBvLTT4XBa8Nr1MVJILh/M2OzErHdC9qcllTJkpabWhuujgvV2SBJ4rDQCWqFPVTtRsl4r4OWdDs9ttFlpuAxRvxXxwlZnoSbtmpx3eolbzHy5XEiWLPmC0ol95oUiDiSb7fgjzVajQCIlVNoSe+5j9HhqVi80vzpxgLWw2go53U/IKs0rp7q0Yo9z/Rb/75t7vHZ9wpXBsQaYR63dQIgw4HmSdw5mCKDfDPj6xVW+fKp3kom+Nsy4McqJA4/1VuQUrWvNZFay0gie6rH3j8PyXVryyLDWMlyYiA7mFZudeGF2KIg8D0/WNAKfShs8ITiYlYS+pB156FbIudUm7+zPObUSs9KMeHa9hTEGIZpM8ppSCzwhaIQBF9dbzEqF5wnOrzdJYh8B/PRFlyLOa8UP9macWWlgLB9q/H6SxAGXLFny8VltRfQaoXNpv0sZzFp7cjwOPF7YbC9MSl2/4rHYaex7CATWWg5mJQezAm0MAoEvJZWyWCw/dXGNXGni0E20CmuZlAopJRZDNwmQUlIoTbKY5ooDD2staemMUi9utNDG8uJ2B08Krg5SjHGlvXt5Oi65k+XK/ogQQrSB/w3oA/+TtfYff+DxPw/8EjAE/hzO6uqfAQEwBX7eWjsTQvx/OA9QC/wta+1vfW5/xKdECEG/FTJKK1ZbIdeG2cIB2eelnQ4rk5Bm5BH5HtdHGaO05mBaUCnNaitipRHw3EYTBJxbbbLTS/j21RHvHmR0k5DNTrwwRJQ0YkFXhXRi10R4pt/ky6e6NEKPd49SSqWRwqm+rrYezQj6p0EbeyLp7y1LdkuWfCLude28P8iY5DXr7YitrpsUO84K9/3wZCQdcFo9nuTKYUpR53gL0+ftXsL1Yca8rBktlKSf23Re3IezgrP9BkWt+Z23j9jsN/namR4bnYg3bs64sNak14gwxvJH10ZUyjjz1Tjg9Epy0ufjS0llzEnZfjAvGec1a63ogb0bnzaWQdCj4y8B/zvwT4DfFkL8urW2AhBCBDjj1p8F/j3gF4C/B/wFa+1NIcRfAv7i4hjAn7TWqs/5/B8Kp3rJSdblzd0p4AxIL6w177hoA0+ijOG162MsEPkpXz3TY1ZqTq8kJzujZihZbYUMM7fInOk3+P71CeO85L2jjK1uyEozYqMd4Xuu8fHCapPVE28f+8jECD8N7x7OKWpDI/J4dv3pbnRcsuRhYoxlkteA6y08DoI+ir1JTmU0xhq6cYgyloNpyaXDOe8PcoSwlMpQ1IbAF2SVU6Z/YauJlBKtLevtmB873+f5rQ5aW2al4u29KddGOb6UnF9r8KVTnTuyVs+sN0lLRSvysdayOy4A2FX5Mgi6B8sg6NHxU8AvWWu1EOI14AXge4vHnge+Z61VQojfBL5prf1V4ObicQUsfIYxwG8KIfaAv2ytHX7whYQQ3wC+AXD27NnP7A/6tGx3YwZpeWI2eDv9ptPG2OrEaGsxOKPSfe3EyHYn+aJxWvDCVpt5pXh5u0Poeay2C64OU64M5gzSgMG8Ji17vLU7ZbsX40lJrQ15rekl4ROZSSkX/QhlbR7xmSxZ8sVCSsFaO2SU1veUyNDGMsoqksDDAm/tzTDWcnGjxfObbd47ypiXt/apQgjyWlMpzVs3p+xNS5SxNAJJ6EmmVY3vOXuOdhwwSkuXKc8rAl8SeoKtu1jzBJ68Y/1MQo+80vc1fX2aWb4zj44erqwFMAFWHuQxIUQLF9D8W4tDf9ZaOxRC/DngbwB/7YMvZK39JvBNgFdfffWxTXOsNMM7GqBv5+ogRWlY70S0I+fS/v4oo9cI2Z8WCAnaOO2MtFR4UnI4q3hxq8Uz602ujzIurLXYn2SUteYHN2d0Gz7zStFvhGx1Exqhx3Y3eSL1Ms6uNphk9T3fvyVLlnxytrsJ2917C5XeGDnleiGgk/hstCOmhWKtFdGKA9baobO/iJ1tRSfyWO/EXBmkC4kOj8gXvHlzxv/P3rsHabLe9X2fp+/d733us9dzzp6rdIAjcQjIXEJAwSSxQyiqnICdihNXRDDlkABVwSEpSIgqYCoh4CpjZArHUCGyXSmqcJEQohhsSUgKkiwdpCOd69535/5e+97P8+SPfmd2Zmcvs3t2d3Z2ns/W1vR0v5eemX67v/27fH+ObZEUFV9bERQSXlpuMcoqrg8z1scZz8w3+OazM7ftXNvNufkGeaXwj+E4jINiRNBDRgixBHz8ptUrwABoA9n062DX9u1t7N4matn/W8DPaq0HALsiP79HnSJ7IpHTAMeJbohvW7y+MiLOKyqpiTwbdzqD58WlgMtVglQKjSYuJEWleGmpzeowJc4c0qJikBacEQ0WOyGnZyJcx2K5E+x0VGwXQUqlawGmNKd7tUFaXkk6oXvgAamPgnbgGsNGw7GglIqLmwla1yN/HvSImltxfZiSFHLPOeJ2+I5NVlQkecmfXdjizZUR7zvZ4dzUj6fhO3zxUp9qmGEhONWLCH2b2chnM85xbAvHEsw2vOlA59qzqBfV3Wa9yEcd8FZWTA0fDbfHiKCHjNZ6Bfjum9cLIX4S+F4hxD8BXgHe2LX5TeBlIYQNfBj47HT9fw98enfxsxCirbUeAd8OHNl5Znfj7GxEPymIPJt31mKk1MR5xdmZuptrM6mnL69P8p2oSCtwudJPdnw0Fjohw6xiZZCy3I2YiTy+67k5eo36jiqvJJO8whJwfqOes9PyHQZJiWtbrIwy4rxCa0iakhMPeHSIwWC4O8O0JC3qaoBhUrLQfrgX+bSQbIzrLtbVUc7Tc/svmye6AYFnEbo2q6MMqQV/dmGLoqpv0iaF4l9/vh5QemEjAS2YZJK5aZMGKN5ei1loB8w1Pb716Vn6SYnWdSmAEIJKKgI3I/JtWo+J0/+TgPlNHh6/Sd0d9reoa35yIcT3A7bW+g+EEP8A+CTQB35ECHEC+K+APxVC/CDwj7XWvw78cyFESh1R+uuH8YM8CgK3TlVprWkFDo5t8fRck5mmz1OzEW+vTQCB71r4jr1zYox8h7TMUVrhWHCyG9HwHHqRywfP9nYEUFZK3l6boDVYFigFo6xkdZQxziuW2wFLvs8kq/P68qC3YgaD4YHS9OsOSI2m+QjEgOdYuI6grPTOQNWbcWyLhVZdML0xybm0GZOWilIqmoFDJ3QYZSXjrEJP/53qRbxypsPGpGBtlJNLxaluyJmZiGZQzwXbzVNzTc7M1KOE7uRhdCe01vSTElsIOkcw7f8wMCLokJhGb/7STev+cNfy7wC/s2vzENhX8KG1fvVh7ePjiBC1s3RaSgSColIUsi5AVJp9lvEnuyGVVGgNg6SkG3p8//uXWJx2eJzfiHEsQTtw2G4KC1wLqWCSQydwmWnUTrCzTR9n6tsxf4B8vOHw2D2n63HEzBG7O1kpuTZI8Zx6YPNuj56Xlus5XY8iJW1bgucWWlRK3TH1JpVmktc1hs8uNulEDq5t877lNoFn0wldRmnFfDPg2fkmZ2ZrQaNUgWtbPDPXZKkdcLJ3+wjzQcTP2jhjkJTMNrx9dUMbk4KVYd0xdtaKTAodI4IMRxDLEjy/2GKQFKyMMi5tJjQDh6fnGjuPWR/nnN+Y0Is8Is9Bac0kqxgB725OOD0bcW2Q7kR2WoHDYtsnrxRLnQDXtijnFNcHGZYFvWnHxXbh8TApmRQ5c03vkdQkGAzHjY1JTpxL4lzSDvfWvD3qejzbEtjWnT/nFzdj4lziORbPLbZ2nOZ7kUcpFevjnE5Yzx7cFidS1VEhqRXPLjR3DBe3WRmkXO6nLHb8nSjQnVBK8+bKBN+xqKTeJ4I0NyLYR9AJ5KFgRJDhkaK15vowo6gUy93gvgVE4NostAI2JgVa18WS21RS8a8u9Xl3PWaSV3z7uVnOLTT57LsbrA4LBmnBq2dnaHgOmxRYVv16Td/ZMxbDtS3OzEb73ruoFJe2EgDyUu6bMm0w3AvbUSETEdpLw3Pox2X9+TwCNxql1EhVD2VeaDW5UEiuDzL6cYFlCZJckleSbugitaYbery7MSEvFa5dt8bvJislnz2/yeowZ7kb0A7cW9qH7ObqICXOK9bHkldOd/Ztn5/OYbSFML5BU4wIMjxSJnnF5nRUhj3KOT2zX2QcFMsSnJmNGKUls40bdzyWEKDhcj/BFnBlkLDUCbCFoB062AjQmk7k8oLXwhJwaSshziVzLe+OrbD169+oG3LNLDGD4aHQa3g0pvU/h+XdpbVmfZyjgYWWf8cIVDdyuNJP6IQupdRkZV28vRkXCDSWJZikEseySArJ1X5KVkpGacXpmQjH3vvalawbOvJKkRTyQHMLldac6IZIpThxi7SaEOK2XkfHFSOCDI8Uz7F2BETkvbe7u35cMMnrmT2720AtS7DYCXhpqcU4r+iEHhuTgjOz9UyxZxeaNKahdc+x6pNNXp+wRmnF8v4bqD04tsWzC02yQpkuDYPhIeIdsr/NVlywOsqBOiV2JwFRSr1THJ0WtZP95iQnzitCz6FUiheXW2xM6snwLtY0Eq7x3f1CL/QcXjndZWOSc3amcaD5hSe7IYFbEHq2SdMfEHMGNzxSfMfm+cUWUun35F9RT4hPgdot+dmFvSmphm/zDae60/Czx8XNhF7k8crpLg3P4a3VMYFrc6oX4tgWcy2PUVqx2D7YXZLvmJOMwfCksyc9bt1ZkM01fdJC4toWrcDBsgStwCWv9M6E+UppzsyENHyHOK94fWXEMKlo+oqrg3TPyBvbEry41KaU6sDnSse2WGzffayH4QZGBBkeOa5t8V78u9JCsjbOSMuK0HVu6Yb61GyDjUnBv7q0xRcvDnh2oYHv2Cx1Qi5uxmRlPbdnZhpyr6SmlIpSmmrBo8rj3hFmOHp0Qpen5+uC5FtFYiqpWBlleLbFQjuYDkStkUpzYTOmkopO6LAVawZJSaU0vmvz2tUhW3FBpTSTvCQtK9Ki9h/bHsh6kIJsw3vDFDQYjhxvr495c2UyDTkHnLpF7tuxLbJSkhYKpTWbcUEnrE9irV2psMC1kao+OWldh78NBoNhm6bv7BFAw6Tk0mY9C2x1nNOPS1ZHOeOsHrKqp21Xk7wiySVK151Y26k9z7EYpSWebaEUzDc8nplr0vCc256DjC/Zw8NEggxHjv6kZJJX2GVdBH2ln9KJ9o+NiDyLraQgLSUNzyarJO+sjUkKyZmZiPau0RfdyGWYlvQapmPCYDDcGq01l/tJ7RpfVmhV23HMNj1c22KQFFzpp/iOxZmZCKU1Wmtmmh4nXJu8UjR9h6ys2/6bgcMzcw0C16aQikleMXvT/L/VUcbaKKfh2/s6UUdZycowo+k7xsH+PjEiyHDkODsX4bkWTd/h+jCjlJphWvL+E+093Rulgm99epZrg4R2UE+BvtJPcG27NhNr+viuxdOzDU7PRJw+xJ/JYDA8/ggh8ByLvFQUpUIIQSOw6UYuwXRkhtaQlXWazBICyxL4jj0tA6ijQbXhY3vPaz81d2sfoGFaR5iuDzImWUUncjkzEyGEqJ2mS0VeFswaz7L7woggw5HjzEzEbNMncCwubSWUsi5GvLl9dSbyGKclke8gLOj4LpsTm0rVdUVSaZK8nhfWCpzHaiCq4WA8qXVAxlH68WIrLpBKM9f0ODffJCkqBHB+IyFyb6TLZhoecV7VQ1anGSw19TG73063hZbP6ihHWLUIG6UVeVUXS7cDh7SQhN5+nyHDwTAiyHDkEELsnHTOzjaY5BWNW7Tbh57NTNPbKXY+2YvoNTySoqLSmgvrCe3Q4fxGXNvWzzfMxGWDwbCHYVpyddqJqqnb4LfrCp9daCK13jkfjbIKqUAIWOoEMMzwHXvfOJ97oRt5dCOPrdjn2iCl4d9oBlloB8w0PGxLkBSS1VGdGlswHWIHxoggw5HGtu7sfGrtiu5YFix3Q5TSfPXaiBPdkGFaYgmBVPVU+luJoPVxzsYkpxu5dzVSNBgMTxa77XsscbOXz97zxTCpU1ejtOLMjMXZ2buPujgoMw1vp2vsZt5Zj7mwEdONXOJc0olckxo7IEYEGZ5o5po+jiV2PDugNlMMPYu0UCx1al8gcQcb+Y1JTiU1G+OCpXZg0mYGwzGiFbicnYtQSt91bMVC22djktOLvEd2nhhndWu9bQnGWUmr697V08hwAyOCDE88tzpxPTPXpJAK39lfS7T/+S4b44LOrm4yg8FwfDjotPW5pv/Ix1I0fAfHFsy3fJY7Ad3IO9C0eUONEUGHhBCiBfwuMAP8htb6t2/a/leBHwe2gB/RWo+EEG8A16cP+Zta69eFEN8DfBTIgP9Qa33lkf0QjzmTvKIfF3QjdycKtI1lCYIDmpAtd0ITATIcGqZI+t7QWrM2zpFKs9gODm3u2KPCcyxeWm6jtTbnqPvAiKDD4z8F/nfgHwN/LIT4uNa6ABBCuMB/BnwX8EPAjwK/DKxrrb/7ptf5b4HvA94H/G1q4fREU1SKvJL7hM3NXN5KqKbt8y+fvMtAsLtgTi6HjxEDhoMwSivWpvO+LCHqAuVHxCSvcCxxKA0W5hx1f5jE4eHxIeATWmsJfBl4Yde254E/11pXwCeAb5uunxFC/EshxG8IIQIhRASkWuux1vpz1EJoH0KIjwghPi+E+Pz6+vrD+4keAaVUvLU25sJGwvVhesfHbU5yNiYZnm1ODgbDccF1bnzeH+UA1vVxzvn1mLfXJjsT5O+VOK+4uBnTN871jwwjgg6PLjCaLg+B3gG2fYfW+ruAi8BHputHu553y9sPrfXHtNavaq1fnZ+ff0C7fzhIpVH1LMKdoYS3Yn2c0/RdQtdhtvVoc/QGg+HwiDyH5xabPD3fuG031cOgkPX5SE99ge6Hq4OUUVpxpZ+aURmPCJMOe8gIIZaAj9+0egUYAG3qWp729Ptttrexe5vWemu67veA/xL4zV2PA7i/T94RInBtlrsBaSFZuMPE98C1sS1BM3BoeOYwNzz+PKnGj4fBYaSjFlo+Wms827prqv52BI5NXip81+IJL2V6bDBXh4eM1noF+O6b1wshfhL4XiHEPwFeAd7YtflN4GUhhA18GPisEMIDhNY6B74deEdrnQghQiFEkzoV9vrD/WkeDw7SfVEpRSElsw3fGCAaDIaHjmtbnOrVrfTvrE8oKsXpmeiW0+dvx+mZkNnCI3BtU+PziDAi6PD4TerusL8FfExrnQshvh+wtdZ/IIT4B8AngT7wI9Spr/9LCDGZrvtr09f5KPD/UEeU/qNH/DM8tmyMCzzbZpxVpmviCcRETQyPK3FRT48H6MfFPYkgIcR7cpc23Dvmt31IaK1HwF+6ad0f7lr+HeB3dm0eAh+8xet8grp42rCLmYbH+rh2eTYC6GhhusAMR5nIcwhci7xSdKL7S4sZHh1GBBmeSJY6wb7WWKk046wk8pxH2jViuH9MxMdw1LAtwXOLLYZpiWMKex57jAgyHBsubsbEucSxBS8utUyEyGAwPBTWxzkrwwyAcwuNeqq84bHE/GUMR4pRVlJWit59WMNX05ZTqTRa15OeDYajikkbPhyKSjFMS1qBc99NFZVSu5ZNq/vjjBFBhiNDWkgubiRA7clxrxPdz8xEbMYF7cAxs3UeM0zay/C4cHEzJisV62PB+0607/6EW7DQqlPxrm0deO6Y4XAwIshwZNC8tzuqwLU52b034WQwHAVuJSJvFx0yEaSHj22Je75JMxwORgQZjgyR53BmNqKoFLOP0AnWcHAOcoHdfoy5AD9cDhJdM4JoP2dmI4ZpaSI4xwQjggxHik5oTkxHhbtdhE0K7N55FL+zexVG9/L42+3/4yTAfMdmoWUMVo8LQmtTtHWcmJub00899dRh74bhCeLChQuYY8rwoDDHk+FB84UvfEFrrW/pi2IiQceMp556is9//vOHvRuGJ4hXX33VHFOGB4Y5ngwPGiHEF2+3zTjGGQw3UUnFyjBjkBSHvSsGwxPN9mdtmJSHvSuGY4oRQYeIEOJXhBCfFEL86k3rXxZCfEoI8WkhxDdO131cCPEnQojPCCG+NF3380KIL0/X/+Rh/AxPIteHGevjnMtbKVkpD3t3DIYnlu3P2qWtxHzWDIeCSYcdEkKIDwINrfV3CiF+XQjxLVrrP5tu/gXghwEF/D3gB7TW/8H0eT8IfPOul/qp6fwwwwNi20NICGOoaDA8THZ/1izzYTMcAkYEHR4f4sbg008A3wZsi6AZrfVlACFE56bn/SDwv+z6/peEEH3gp7XWX3qI+3tsONEJaHg2vlP/NxgMD4cTnYDItQlc28zzMxwK5qg7PLrAaLo8BHq7tlm3WhZCOMA3aK23i7x+TWv9zcCPAX/3dm8khPiIEOLzQojPr6+vP5Cdf5IRQtCNPELPCCCD4WEihKDXMJ81w+FhIkGHxwDY9mRvT7/fRt1m+d8A/mT7G6311vTrW3caBqq1/hjwMYBXX33VeCIYDAbDE4Axu3zvmEjQ4fEZ4Hunyx8GPrtr25YQ4pQQ4gR1lGibHwR+b/sbIUR7+nUOI2gNBoPBYLgnjAg6JKYprUwI8UnqaM8lIcTPTjf/HPBx4J9OlxF1qOdDwKd2vcwvCyE+Dfwz4Gce1b4bDAaDwfAkYKIHh4jW+iduWvXR6frXgO+46bEa+MBN6370oe6gwWAwGAxPMCYSZDAYDAaD4VhiRJDBYDAYDIZjiRFBBoPBYDAYjiVGBBkMBoPBYDiWGBFkMBgMBoPhWGJEkMFgMBgMhmOJEUEGg8FgMBiOJUYEGQwGg8FgOJYYEWQwGAwGg+FYYkSQwWAwGAyGY4kRQQaDwWAwGI4lRgQZDAaDwWA4lhgRZDAYDAaD4VhiRJDBYDAYDIZjiRFBh4wQ4leEEJ8UQvzqTetfFkJ8SgjxaSHEN07X/a9CiM8JIf5ECPEj03UnhBD/XAjxp0KIDx/Gz2AwGAwGw1HEiKBDRAjxQaChtf5OwBNCfMuuzb8A/DDwV6bL2/xVrfV3a61/d/r9zwD/DfB9068Gg8FgMBgOgBFBh8uHgE9Mlz8BfNuubTNa68ta66tAZ7pOA78thPhnQoiz03XfCHxGaz0BxkKI1qPYcYPBYDAYjjpGBB0uXWA0XR4CvV3brFss/5TW+i8AvwT8T9N1ttZa3+Y1ABBCfEQI8XkhxOfX19cf2M4bDAaDwXCUMSLocBkA7elye/r9NurmZa311vTrp4Cl6Ta563E3vwbTx39Ma/2q1vrV+fn5B7Trjx/9uODd9QnDtDzwc27oxzuzOclZHWVIdbDHG54Mtv/u6h7/7rc6rrJScmEj5vowfVC7ZzAY3iNGBB0unwG+d7r8YeCzu7ZtCSFOCSFOUEd4EEK0p19f4IbYeU0I8SEhRAOURUihAAAgAElEQVRoa61HHFOuDlLiXHK1f7CLzMow4ytXR1zeSu74uHFWcm2QsTbKWRtnD2JXDUeA0Z6/e37g510bpHzl6ogr/b3H1dooZ5xVbIwL4rx60LtrMBjuA+ewd+A4o7X+ohAiE0J8EvgycEkI8bNa648CPwd8HBDAj0+f8r8JIXrUtUE/Nl33d4DfBsLpc44tgWuTFpLIsw/0+K24AGCQlJzqaYQQe7ZrXa+zrRvrdy8bnmxscX9/973H1Y31oWczTEtsS+A55v7TYHgcMCLokNFa/8RNqz46Xf8a8B03PfYv3+L5V4DveWg7eIR4Zq5BXikC92AXmPmWz/o4p9dw9wmga4OUzUlBN3I5PRPxzHyDSmo6kfswdt3wGNLwHZ6ebyDv8e++0PLZmBTMNLw96+dbPq3AwbEEjn30RVBWSs5vxGgNT881CA9482EwPE4YEWR4YrAscU8n4vmWz3zLv+W2fnLjbv70TH1BNBw/mvfxd19oByy0g1tuC9wnRyhM8opK1rVP46w0IshwJDn6tyMGw0NgvuljW2JHJN1rYazB8CDRWh+4iP9R0Q5cAtfCdy3aoYmQHjZP/cwf8NTP/MFh78aRw9zeGo4sWuudgtWFlr8vpfVe2H03vzbKWB3lNAOHp+caD+w9DIaDkJWSd9djNJqn5xpE3v2ftjcmOUWlWGj57zkl5zkWzy0aWzLD0caIIMORZSsuWBvVIsi2BHPNW6e2bubaIGWcVSy2fbqRd8fHZqXk7bUJriMgg0qqW148ikoxSAqagfOeLlKGo4fWmktbCXmlONkNd1KnSmk2JjmubdFr3Pk4281WXKC1ZnZ6PMd5tWPNMM6q+z6+xlnJ9cGN7sYT3fC+XsdgeJIwZ2vDkWW3GHGtg93VllKxOanrfdbG+T4RlJUSIcB36vqGy1sJWsPqMOcbTwVc7qdIpTjVi/bUd1zaSkgLyfok56WlNpbpIjs2TPKKUVq3vG9Oih0RtDrO2BjXx5rrWHesLyql4tJWwmjqceVYFnmlmGl4tEOXflKitabzHtJOrm0hBGgNjm2OT4MBjAgyHGE6ocsz8w00By9gdSxBw7eJc7nvgjLKSi5uJAhRd7s0fAchBO3QpdfwaPoOV6d30ltxsXMnnVeyvrIYjiWha+M5FqVUtMMbx6G1Kz0rlbptFBHqQvwkl6SFpFIaz7EYrpdsxQVnZyOeXWi+5/0MXJtz801KpWgHpobHYAAjggxHnIN0bVVSUSlN4NoIIXhmvolUGkEd6ZFKc6IbkhVyWnwqyEpJw3c4OxsxSkuaQf0+tiVQWtOafn95K2GQlHiOYKkT0PQdEwU6Zji2xfOLTZS+4SektablOzhdgVSay1u1gecz83VNz7YH1TZN32FN5HQil5nIY5xV5JVCa8hKRevWzWZ3JM4rVkYZLd/ZqW8LPZsQ08VlMGxjRJDhiaaSirfWJlRSs9j2WWgHlFLx7npMP84RQhB5DqujjElesTbOOdkL6E3TZK5t7dRmALy41EJz42I3mTr/FpVmrund0nDx2jCjkooT3RD3PopRi0ohlTYtyI8xQgh2Z5gub6UM05LQqzuntgOFcS7Zigv6cUk3crAsi0oqljsh71uuJ+isjjOSUlJUkvmWj3+fxorXhxlpIUlySSdyd1K8hqON6QB7sBgRZHiiKaXe8TJJinrMWpxXFJUCIegnBZHnIARToRTQ8Nw90Zztwtc4l5zshnuM8050QtYnOd1ov+EiwDAt2ZrWIHlOznLn3opRtwuztYaTvXCfAZ/h8SQuanGcFoqzMy5JXtea9SKXr6/UKdWrg4zGtMjZsXNOTtOrm5OCSio8p3ZAv5glzDa9AxcyXx2kDJMSTX3ce4514Jo5g+G4YUSQ4UhTSYXUeucuV2vNZlwwTAqkhrJSpKWkF7ksdeqUQNN3cGzBla0Ez6l9Tk50QkqpySvJTLMWGkWluDZIqaQiKSUCwWac7xFBnci9o5twnYKrS4bC+zDK206JQC2IDI+WolJcHaQ4luBkN7xlqlMpzZV+SqkUp3ohvmNzsheyMS28dx2bp3ZZK2w7Sp/sBgzTCq3BEvXraGB9nHF+PeHp+Yi5Zn3Mpgf426+NMoZpST8pCF0Hz7E4Ox/h2da+/R4mJZWqC68fpLWEwXDUMCLogAghfgL4h8AY+E3gA8DPaK3/6FB37BiTV3WURCk4PRPSjTxWRznXhykXNhJagUNeSc7MNNBo+kmxk4461Qt5c3WMVHBpM+H5xdY+D6CNSc7KKENrTeQ6WDZ3bam/mcC1eWGphZzWJN0r7cBhruVRSX1bd2vDw2MzzplkdVSn6Tu3bHUfZxXDaVdXLW5C2oFLO3BJioq1UUY38kgLiW2LPR5US1JxaSveGap6eiYiLiS9hsf6OGe+FdDwbJbuEkHMK8nq1C4irxShW0edbnXMjbOSS9OhwVJrFu6n4MhgeEIwIujg/Cda618VQvxFYB74j6lFkRFBh0RWKpSql+NC0o3q5XpAZT2k0rYEhZQkhaYfl2xOCtqhy9PzEYvtgGFScqIbMIgLro8yljvBjtAppeL6IMMS8KFzzduOQrgbrm1xv9MShBD3nEIzPDjqVGmdzrxdTVbgWVhWHe1r7vLwUUpzfiNGKbiwGRO69bZzCzcMD13bopoGedJC1V2LgcP6uNgpwm/4zr73Lqr6wN8exOpaFp5jUVSK5xZaO1HPu/IImxqzUrIyzAg9m8X7/CwZDA8aI4IOznbM+N8G/qHW+svCxJEPlXbg0I1cKlUXJQNTJ1zBmV5E4Nk4lqCoFO9uxEyyitVxRl4plFKc7EUstjzmWyH/559f40o/pddw+SuvnmaS151iZ2cjLPFkDLw03Dud0CVcbGGJugusqCTnNxIi1+bUTIgQAt+xeXGpjdKaJK8v9LNNb88U+t1TV7aND6XSXOkn5JXEsy1cW3C1n9KJPGYadVQzyeW+CfaTvOLCRgzcsHKwLMGzC01Kqe4acWwFLmdmop102KNidZQxzirGWUXLmIoaHhPMUXhwviCE+CPgaeBvCyFagHovLyiE+BXgVeCLu6fJCyFeBv4+tfD6Ma31a0KI3wBepr53+5vTdT8P/CDQB35fa/0/v5f9OWoIITg9E+1ZZ+1yjh6mJZeGGaVULHd8iobH2jhFABtxzjiv2IwLzvRCXr8+Ipt6tLx+fcwoK4mzinMLzbp4dTq76V507yApkEqbuosjjrerO+tLlwZcHWQEnkUrdOhGHv04p58UbIxzVkY5S52Qy/2Yp+eazDV9vnZ1RFZJHAuenmvSmnr0jNKSUVohEDvdW0mRIhBUSiO1Zn2S8/LJ9p79SYpqp04sKeSOTYRtCWzrYCHHO9WxPSxC12aUVnWk1txUGB4TjAg6OH8DeAV4V2udCCFmqVNi94UQ4oNAQ2v9nUKIXxdCfIvW+s+mm38B+GFqkfX3gB8AflFrfV4I8Rzwi8APTR/7U1rrT9zvfjyJVFLx9etj3t2Y8O5GzFzTZ2Hg0QldslIxyUraocu76zFJXtHwHJqezSApKKVCSsUoqetAhklOUkjOb8TMNFxmGj5SaZa7wU4xdinVvtb3YVLueMNoOPBID8PjzXZAp6jqiMvGJOerV4e8sz7h2iBFCBjEBXMtn5V+xiAruT5MGWUVLyy26EUeo7Qk8h3+/MqQa4OUl5bbhK5Ny3dQ3Rvz6oZJgWVZrIwynt1lbjjb8MkKhRDcMpJTScW1qannyV64L5J0WCy0A1qBi2ubyOqjYnc7/YVf/HcOcU8eX4wIOiBaayWEWAXeJ4R4EL+3DwHb4uUTwLcB2yJoRmt9GUAI0Zm+//npthLY3SryS0KIPvDTWusvPYD9OvJsJQWDtI7klFKRlRWbE8HGpOCdtQm+YxH5LlIrepHLKK1F0bOuQzd0CT2Lp2Yj1sYZX1+ZsDrKaHouJ2d8hmlFL/JwxjmnehEXN2NGaUU3cvdFpW4mziuuD1MC1+ZU786PNTyevLjcphO6zDQ8AtdmlJWMspJxXjLO6mPDc+pIzqV+QlJIxkmF41iMspLPnd+kE3qgoZCawLPZmGRsxBlN3+UDZ3pkZcVbqxPeXJ1wZiYiLRRKaS73E0qpOT0Tcmb29sfPVlLsFGpHvv1YCXDjdWV43DAi6IAIIX4J+PeB17khQjTwL+/zJbvAO9PlIfD+Xdus2ywD/I/Ar02Xf01r/fPT6NBvAd95m33/CPARgDNnztzn7t4fahrWvx+TwFuRFBWlvPMMpchz6IQOejaiGznEueJEL2B1lBMXFaEXkBYVLd/h/EbMfMtnrukTFzlZpVgbF3zrM7NcHSS8tTqun9+FSgW4U0e87XqGcVahqdvyd4ugTuRymhCl6y4dqGeVpYUiLRSzDWkuCI8pRaVwbXHLFGbLd9CdYOdvN05KLmzGaAnn5hqcnm3wzHyTYVry9vqYhmez2PLwLItW6IKAflKy0PRYm2QMk5KG7yKVZrGtGSYlX77S5+31CUmuaAUuUim+fGWwI7I2J8UdPYMiz0HpjEqpHVuGrJTklaIdOCY1azDswoigg/PvAS9orfMH9HoDYDvZ355+v4261bIQ4r8AXtdafwpAa701/frWnU5sWuuPAR8DePXVVx9ZP4hUmrfXJhSVYrkbvOc70rSQvLNWF4QudvzbtvY2fYcXltpM8pJPvrmBbVskhaQbuTwz2ySrJAJ4e23C2+sTsrIWVr3IZZAUbE0c/ugr1/nCxQHX+gmB5/Di8gJnZiJePtFGwU7x6XzT57UrA8Kp6/Turpeb2+lbgcMkq/Aca0+dieHxYXsMSjNweHqusW+g7qWthHFW17U8t9Dk7fUJWgkkmhO9kJeW28w1fS5vTWj5LnFRcW1QUihN5FkstHxmIp9Sa15YbHO1n9AIHS5tpri2oBs5OJZFw7MRLTg1E1JpTVFKLmzGNHx7Z4TLVlxHfOaa3k6dEdS1N0KAQDDJK1zb2jHcnGnUjQRZqTjZCw88c89geFIxZ+KD8y7wIKsJPwN873T5w8Bnd23bEkKcEkKcoI4SIYT4PuAvAP/D9oOEEO3p1zkeQ0GbV3KnlXfba+W9UKkb2nDbBfp2eI5Fw7sxx6sTeSy0Ajy3FkSrw4zXrgzZGOdc2kxBa9JSYVv19riQbE4K4kqz1A54aanJS8ttPNfe033TbbgsdUI6ocv4Lj/jXNPnxeUWzy82H5s6DcNeRlmdRorzikFS8NbqhLdWJyRTB+hq2tmlppXJy52Qpa5P5Nqc6EYordmY5GxMSlaGGavDnLis2Jrk+LZNL/LpNjy0hqv9FKk1QgtmIw+tNX/41RU8y+JEN+CHPnCKbz47w2LLZ31cMBt5RJ5NO3BRSnO1nzLJqp36n21KqRAIXNsiziuU1juF1OOsnnhfVIrNyYO6nzMYji6P3YXzMSYBviSE+H+BnbOH1vo/v58X01p/UQiRCSE+CXwZuCSE+Fmt9UeBnwM+Tt0d9uPTp/xdYAT8sRDiDa31jwK/PO0ks4Cfud8f7GEReQ69hktWygdi9NcKXJa79eyvOxm8ZaXEEgKpNc8tNBHAU/MNKqnZSgoc22JrkiOoO2pyqWgGDsO05IXFNie6EWvjlOWOz/OLDc7MNXl+qU0pNeOsJHDtnfSe79jMtTzivGKxffef8UGlBQ0PBqX0Hjfl5U7I5iSn1/DIylp0aw15qYg8mG14jOySXsPDdSyeW2yx2A64PkxRGjSajUndFejaFt/yVJtRXuHbFjMNj+VOyNooY5yWdCOXQlqoeoILa1NR0vRcnp5rMTv9zJzqRWzFBZPtcS/Ujw9ci6xU+5zIA9dmse0TF5KldkDg1g7WaSmZiTwu9xOKykySNxjAiKB74fen/x8Yu9vip3x0uv414DtueuwLt3j+jz7I/XkYPMgCYK01SmssIXZMm7TWTPIK37HxHIvNSc61QYYQ9R1xUSlKqXh2sYVracpKoZTk+YUmVwZt1kY5oWexMS5Ym+TMNeohq55t8fKpDp3A5f0nOyR5xe/+2SXevD7mmfkmf/mbTnBqWgN0EDPDlWE9oHW5E+y0ND8IpNIIMJPrD4DWmlFa4bsWrm3xznqdqj3VC+uuwbxiqRPw3GILqLustuKc9XFOK7AppWJ1lGNZ0A5c+nFBN3JJCsHFzZhLWwmL7YBJXrfDn+iFnJ5pkJaSN1dGtEMX1xFc7qeA5vx6wWyzdgOfnRZadxseTa8W1tupKiEEs826KF+q2ieo6Ts8M98kr+QeERTnFRc2YxzL4pn5xo7o3t1F9vxia5/4MxiOK0YEHQAhhA38m1rrv3bY+3KcGaYlq8P6blkIWGgFXBtmbE3q1vaXlltkVX0xq5RCSc07GzF5VUeGFtseb6yOibOKYVrxypkuX7wwoKwUb6yN0Ro+d75P4DuUUuHbNu3Q4/oo4+srI964PubaIENpOL8R74igbZKi2nGk3l24nZWSS5sJ46wkKSq+8VT3gfw+RlnJpc0ESwjOLTTMlPC7cHWQ0o9LhKjHpuTTSM/aOCcv6xl0Fzdj3rfcppBqp8NqpuEzzuROKiwtJG+tjQldh3yaVro+zHljdcIXLw5wp2adjmvx0lKLr13t88Zawteuj3jtss87GxOU0rz/ZIu1ica1bXoNwdnZkF7DRWuxr/Xdsy160xqzbbNF2xL7DAeHaYlSUChFnFe3HfNiBJDBUGNE0AHQWkshxLwQwtNaF4e9P8eV3XU0znQqdlEpBmnBxrhACDjZrdMZWSlZbvtY1LnCf/qFy8w3fa70E1bHOWr33XfkEZd1ASkasrKiqjTCrYdZzrcDtK7fv+FbnOwFLHf3p+Ou9FPysr54tpbbOxcaz7bYjHOyUuE+wILoSVab5kmtSQtpRNBd2K4j05odQdr0HZbbAVcHKRfXY5qew5UgJS0leakY5yWTrEII+KbTHZIix7EEl7ZSLCFoBQ4neyG+a+FZsFaUOBZc3FKcW2zz5csDvnp9wvmNCQDjtGBjUtJwbYoCZiKHUVYxTAsWKp/VYYHnWFRK78yyU0pTKY1twWI7uGNnZC/yGGUljmWZoudjym5vIMPdMZ+Sg3MB+LQQ4veBeHvlcXNpPkxagcvT8w2U1jv1DCe6QS1UWj6OZSFEPVNsdZTx1tqYyLP407c2ifOSS65Dw7dIioqilGg0r5zp0g09Xjndpp8WNHwP24IvrgyYb/nYluDcQot+XPDdLyywPsl4camNheD6MGWxFewRO3lZGyfubtazLMGz801Gebmni+e9MtPwSIoK27Ie6Os+qZzohqxPctCarbgk8hzagUszcHhmrkFSSEpZR3aiqYCQsnb89h2bT76xwfqkQAjNiW7IJK9YGyf0Y5sPnO7gWYJCbjLKSjS14eEoKYh8i07oUSlJJ/LIFTQ9m3FeIsaCE52AXsPjRCegn5b049p3aKbh0fBszm/GTNIKyxJYQpBXcprG3e8BFHr1CA+DwXAwjAg6ONem/y2gdcj7cmwJpkNRt/Edm2863WVlmBHnkmv9jKuDmK24YHOSk5aSi5sxhVRYwmKp5xNnBWlRzwYbJgWL7ZC4VHi2xaWtmElacn5jQl5JFloecV5wohNQTLvTikrz2tUhJ7oBjmXtFH2fmYmYFBWRa+/zYnlmockkr2g8QG+gwLV5duH4HYpKaYZpSejZd52TtRvPsTjZDckrST8piYu6A2ycV9OhphZ/fmXCyV5AK3RYGaXYwPokQynNa1dG9OOcRuDUbfJC8Mm31tFa0wocltoB5+YbvH5tRFZK+qpgue0zjGvhdLoX0Ys8PnRulnc3Ehq+Uw8B1qIuZu6EtAKXt1bXaPo2b66MiHyHQVJycSMm9ByEqGfmjTNZt/L7zoF/B0lRsTEuaAUOvUc4M8xgeJwxIuiAaK3/u8PehycRqTSW4EAGbttFz75rcW7+Rpt5Kevi6JVBRlJIbMsi8lycluBSP6YVegzTOs3QnxRU0/RCKTVvro65PsjQ1Km1vJJsTEp6oYNnC750ecDr18ec6kS8eKJJM7AZpwVvr49ZGW77AtUiyLLEbTtubEvQCeti2kFa3+XfKa1xK4pKkZaSlu8c65qOq4OUQVLX9ryw1LrnjjvfsXluscnlrYS0UEilGacVW3GJY1tsxgWjrAIN63FBLiXjtGRjkjNOSxY7tefV168PeXt1wjgviXyb090Gix2PSmmSQoKo+Oq1IaVURL5L07WxhODqVspTsxHDrGShFbHcCTgzG2FbgmFW4jkWFzcT5ls+liU41Q0JPJuTvQCBADFtr0dxZjY8sAi6NkhJi2m6NnDM6AqDASOCDowQ4o+5MTpoB6319xzC7jwRbMUFV/vpPlGjVN0FdvNJejT14clLxSQvaQcuQgjWxzml1MRFhe9YLLVDLAu0Upzo+jTdEW9txAyTkkJKCjl9DyDNJQILpRVXt1IKpbAtge9YFJVibZQTuDZZKZlt+TQDzalewHC6L9stywfl6iBF67q49l5EkFKad9YnVFLTDh3Ozjbu6X2fJLY9erS+sXwQhmnJICmYa/g0AodTvYjPX9hikklaoU07dMhKyZV+wlzTYzMuSQpJP8m5spWyFWcsdUJOdUOSouKdtQmTvCDJ6w6trCiRymNjkjNMKypZMMokGoHSJVeHKZ5rsTLO8X2Hf+sblphvBuSloh3Wp+LIczjZDdFas9QJUKp2H/+2Z2YYZXUNUytw6TVzXMtilFa0g3omXuBad7yZ8GybFIXr1Gk1g8FgRNC98NO7lgPqAabv3QHwGDOadt/kpSIr62nYpVS8vTZBqjp9sHva9XzLr2eBFZKLmwm+Y/PsQpOmXzsxP7vQ5GQvoh04fO3aiM+e3+TCRkYiJY6A0BEoLdAKHM9BUBswnt8c77iGCgGWBqkVVwcpnchhuRPQ9gOSsmK+7XOqF/G1ayM04p6jOYFrE+cVw7jgzdUxp3rhvg6fW6G03ukKKuW9Ca8njRPdEM/JiVznwMXgSmm+fn3E9WGG5wi+58VFAtemE3pEnuILFwd0gjrdFHkOb6yM6ScFp3oR47zg4laMlhqrA5f6Ke+uj5nkJUrXfj2VklTAKM0pygrX0mxOFPWUFU0vdDk716CfFAwzyXLXZ2WQM8lkbYA4FUEzjdoQ8dxCg0FSEjgW14c5I13x4nIL37GppKIberUpooBPvrWOY1ksd8OdYupbcXompJe7hK6NZQkqqVgb57i29UB8vAyGo4gRQQdEa/2Fm1Z9WgjxLw5lZ54Q5lo+hazN3qJprUxayp0unlFW7hFBTd/h+cUW5zdiJlm1k76ab/l0IxfHquc95aXk8lbCn769weWthDgvGaQlWgukVkSOQGkLW2qGea1jLQG+Y+EIC1toxmlBpQVSaRZaIYHvsDEq+Nee6vG5C1tcG2Y8NdtgM84ZpCVFpTg7G921QPmZuQYbkxwhavG3OSmIZu7+MXRsi9MzEeOsfKwGYh4Grm3d0ZtJa70vIiIEFFLVXX6idgUP3NqP56tXhlxYj3EsAUIz2/RZnxQUUvHVa0MsIWh4Do4tWBmmfPX6iNVxTpZXuDb4rk0yrju8Wr6H71isDDMqDY4FS+2Qf/eVE3i2xdvrMcOs5NJmynIn5rmFFht5bWLYmgrqwLVJilr0XtxMuLSVAnXR8/OLLRzb4oWlFlprvnZ9zFZcojV7Piu3Qgix5/hcHedsTYqd1zbdZIbjiDnqD4gQYmbXtxbwzcDSIe3OE8G2qNmzznOI84p+WjDT6NzyeYFjsVlJFtvBThRluy5kewDl/3dhk0leUklFXCqqSqO1JteQVRoXSSuoW+KlBs+z6IQOUtUXy0rV0ZdKapJccnUzZaHj8y/eWEfYcGUrZZJJXFswSCpmmx7t0LmrCLKs2gNmKynq1NY9dHV1bvIfMuxFKs276xPySnF6JtrzuxJC8IEzXd5Zi2kFDp3Q5fowZZxVnOyFvLE2ph8XzDZ9bAGhB+tbBZFrc6oXUipFWSmyQjOIc7KiIpOQSZBKUlRgVVDkOYEPpapz51KDFoKVYc6rT8/wtZUxVaVoRg7L3YCvXR/y+vUxzy+0+IEPnNyZC7Zdv9NPC8pKkpQKfVPqTwhB5Nk788BOde/NmHR7GLAQ1ALQYDiGGBF0cL5AfV4T1Gmw88DfONQ9egKRWtPwHRq+w9V+ihCChZa/Ux80zsqdGiBEfVHYinO+fHlIw7eZb3qsjXIu9zMEAtsCG/AdiMsb71MChYKGB1VVCyulBVkhqXTtyeJbNu3QZakdoIBJVhK6DnFeMtvwOTkTsDkpKKTm+jDl7GzEV9Ihs816PMJ2+koqzeoow3csFtpBfSe/2EJrY1r3IElLuTPqYpiU+wRj03f5ptO1UWUpFRvjqeWX0PiOYJQWJHnJpBGQZIq27zJMS95aGaMFbIxzSg2hYzOiQlCfENJqWiyoodRgl2BbdRTIcWwcS5CUkvVxzqleSNrw6Xgu66OCK4OUStb1Xpe2Yt53ohb+vmOTFoqT3ZCm75KXklLW0aHd3ZGhaxG6Dq3QoRXc2+l8oVWP1HAt65667AyGJwkjgg7OS1rrPZMKhRDHOy/xEHBti3ZYT2TPZZ0u0tQmiNtsxgWDpKRS9QyxN1fHDJKSQVLSDh1GWUkvclkZxGRVXTfhOg6+rqh2CaGWb5MUkEtFlVco6uhP4Fs42Di2xULTx7JhvuGTlhKJ4pmFJufmG/iuTVZINuP6/bYvhJuTgqbvcHEzmU4gt0iL+uK8LfCEEJja1PtDqjqqd3PhfOTWE9azUjLTvHMLuGMJIt8mySVvr4351Jub2HY9+ysuFBuTgsizycqSYVoxzkriQhK6DpZl0Qtd1iclUtciu6S+O7IB13No2DDX8PDcepJ8y3fohB5PzzVYHxe8szHh4kZMUSocWzDf8qedhjWneuHUn6juFHtnfcLlfsLTc409Y1cm07ReWWkKqQisexMzZk160AgAACAASURBVH6Y4bhjRNDB+VPggzet+8wt1hneI2dnGyy2A95em6D1jbB9XkkansNCy8e1Be3QJS8kkWtTyIq81IxTyWzDQ1CbJqLBEgItNA7s3L0DbCUlWoGcrgeNbVu4oo7YzDd83n+qzXwr4PJWQsO1SaXGdy1mIp8Xl9tUSpMWFa3AZXWcsTmp50HFuUTruoNJqnp+medYZoDqe0AqzfokY2WQ49iCM7PRnou4ZYmdwuBK1r/z2/2+hRCc6oX0xxm/9an1qaO3xHcshk7JYstnbVzQT/K6o7CSqApiWdIMHALXYbljUUhJnFfooq4ra4U2p7rhTlpLIHAsgWVBKSukdgnc+nvLEjy32OCDZ2awLWtH3IyyEs+2iDwbpaHbcAkHtSfSVlzsEUGL7YCVYUrkHdwv6CBc6SeM0noo8Owxr0EzPNkYEXQXhBBLwEkgFEJ8AHZmd7aBBzcd1LCH2giwSSlVLTBGGWujHN+1eHahyeo45931Mf/3V1bIioqn5iKavsvXro9YGWV0QhffsRgXdejHc2ziXGKjd1r6KlnXQ9h1PSx5KbGEQou62+wbTrR5dqHNpc2YzThnlFY0fZfVYc6FIOHcYnM6uLWOOix3wp2C3bySxEVtqFf7ElV0PRfvAY7NeFI4qPnh5a2Ea4OU9XHO2dkGk6y6ZSQjKyXvrNcC+mahtM328fS5dzeQGiLPplKqng9WKvpJhefU7szDpKDS4FkWrmNRKcCu633SStU1ZQ54jmC+FVAqzVZS8txii0FS0PE8BIJhWmFZOf244BuWOyigG7q8tR7Ti1wmRcVMw2NjXCCVQgiBbQmWOgFzLR+p9teQNX3ngRtmVlLRn+aONyaFEUGPAWYUxsPDiKC78xeBvw6cAnaPyBgB//Vh7NCTRFGpOgV1i4tf4NYXRak0r18bsTLIEJYmcCwi3+bt1QlfvjxgMy64Mkg4N99knEvmmi6TSuE6NudmG6yOcrSonZ53N5dL6g+Ab4NjCyw0UgiqSjEuKs5vpbywXNTu0+OKvKoHUo7SEpTmnbUJ863glu3FvmNzbr6J1pqvXB0RurU7sNYapffOQTvuHNT8cLteLC4qIt9m9jYpr7SQTM29SXJJO3BZG2UMpyaVWaW4vJWglWJzUiIrSejZoDTXxwW+a/H+2YiLmzHDuGBS1Xc+JQpfK0olaQVubVWgazFdj52z2JoUNIJagGdFxYlOwGwz4NRMSFJIKqkAQSt06UYunm1zaSvmK1eHCOCV0z0c2yItFUJoKlnXq7241Hrgx01R1Z5YN7+mY1u0pq7Yvbt0nBkMRx0jgu6C1vofAf9ICPFDWuv/40G/vhDiV4BXgS9qrX9i1/qXgb9Pff79Ma31awdd96D38WGRFrvu2GeifS2+cV6xOcmZ5LJuF96K8RyLt1YnzDRdRnnFJK+IfAuNoJg6R2ut6YQOL5/scHWQ0I4Ub1wfIzXc7LCjNQhLkFcayxI0fchLzXCS847WfKUT0A2d/5+9N4+SLL/qOz/37S/23DNr7+rqRVKjBbVAi5FlJBg04BmzjAEJD/I5SGLAMGOdw8xwMIPHgIc5jG2YwYCaxRj5CEk2oGEkNrelRkILIBapJaFuqburu6q6ltxif/v7zR+/yOzoqqyqrOrKjFx+n3PyZMR7EfFuvPhlvht3+V76acp01ccSmKl5nF0bMt8MuNSJmaq4OLZFZ5hxoR1R9W1OTFcQEdZHF3fLgtmanmKfF+qa7qXDSpwVPLUyIMlK5hv+DcUPj02FrA1STs9Vb9iF1wxdenFOofTcr7JUXO4mAHzpUpeq73JhPWKtn6BUycogoxOlNAKXpaZPCZxdGTDM8s0uL4VeO3kGZIokTzfq8inLDeHGgtmKR6vq4oz0gebqPvcsaCHQuu/QS3LiTEe+Ts9WSArFQiPgYjum6jv0kowz83UWmj5fudynE6WEnv4icCcVnjeESh1bODNfu8bxPDVb3VJqwGA4aBgnaPt8QkR+DTiilHqziLwYeI1S6tdu9wVF5KuBqlLq60Tkl0TkVUqpvxjt/kngu9H/e38R+G9vYdu+IMl13QzAMMtp8vwL29nVAefWIuKsQIDFZkBRljyzNuRiB+K04N6FOr4jOjWRFmR5SSrCJy6skOYlaalb3AuudYBAR4PyEhDBd2xcx6EstQZRnJd8ebnP6bkqp2drhK7NQiPAdSwutIecXR3w0mOtzW/SK4OEolR0o5wk15o0F9a1xkvdd/EdXcAKWijSOEGw0k+o+w5FqaM0nm2xNkg3x4yM4zv2DfWBNrAsXS8Eur4my0tCz6IX5QzTQs+Zi3Punq/RjlOW+wnDRBfWH5sOWeml5EoxSDJ03OZaqfgkHxVBO9rBFaDi27RqLidnQtqDjKRQnF+POTJVoerZrA70vLLFRkip4GInwbaE6arL0emAJNMO0ZFRE8Ag0REnESi3L4y9LQYjfay8UCT51rVTxgEyHAaME7R9/t3o58dG9x8H3g/cthMEvAZ4eHT7YeDVwIYTNK2UOgcgIs1b3LYvaIYu/WpOWbKlAKBj6X/Mnm1xYqbCYiPgsctdQHj0XJsoLTg9V2W26vGZp9f5/IU2ZalwbYs0Lzjf0e3HUkJ5g//naaZwLajULFRZYIsFYmnRRgWe7ehWZM/hzHyNxy73mKv59ONspBasuNKLyfKCs6sDSqVYaPg0K/oCppROt9V93cacFeW+FDxM85Jz60MsEY5PhXckMlH3XdpOxkIjYKERsNxPuNzRUZu75qq3LeCnlI62PH6pz6VuRFGWLPcT1gc5nWGKZUGUF5xshRxtBfztxYQkK3l2TdFNckDIMl3v4wAVFzpjnYWb0aFC33ccqHo2tcCl0GVFen04Np1hxsX1mFrosFDzOdL0qXgOeak4txaRFSUvWmwwU/OfF+E6NhVqMU3fvuO1ZHMjoVLfse7oUF/D3mW8rujsz3zzBC3ZWxgnaPvMKqU+ICI/CqCUykWkeIGv2QKeGN3uAC8Z22dtcXu7256HiLwDeAfAiRMnbtfWO47u0Ll+bfnpuSrTVZd2lNGNtOrzy49N8ZUrWrelGer2Y9cW+nFOlBX0Il3AEac67ZAr/S3duYETlKNTGnlWgiUUqqAZOEzVPaaqLqFn6Qnh81U+f76rh7g6FvWKw/m1IZ89195MiWRFgWPbPLM25JX1Kc7M1zi/NiTLddHtqRuMNbgeZal4thNRlrDUCrb81p7mJU+u6HEjd81WtzWK41ZZH+o5WaDncN2JgtlmxaXq17FEtGbSWMTjanHAW+GJ5QHrw4QnVwaI6OG768OUbpTx1MqAwLE5vzbk2HSVIw2Pz50viFNIskwLaKLY+OPe0AK6mgJwR/uV0jVsFcemLKEf55RKfy6XOjEKRSN0uWehTiNwyYuStCyZqrg0QhfXsXFti/ZQp+UsS3Bti8Wmbpu/2IlYG6TM1Xzmx1rpb5fA1TVrhr2LKYbeHYwTtH0GIjLD6N+0iLwa7bi8ENroLjNGv9tj+8otbm932/NQSj0EPATw4IMP3uHA+vbIi5Jz6xFK6XqYrS7kRalreqqejQKeXh0CCkH08Me0oETxoiNNhlnJpU5EN0rxXYcXLdW51ItIsoI4Lwk8m6TIkUKflPQm77oErvRz3FHr8pEpn8WGj2fblKVipu6x2kuJ8pKpqkvddzkxW2G5n3BuLcISoRY4zNd84rwcpTH02I0oK0eFrjHHp2+9obATZZvdOp7z3IVxnH6Sb6baOlG2I05QzXdYFj3yo3oHRyyMR5Q2Jqc7ltxUfXsrylLRiTN6cUbgaFXmOC14aqXPci8hLxRpXtKPMh0NSgsu9mKSXK+BQulvElf/UW040+PLyAZcdySuIPrYs3WPwHM4vxYRuDZV38G2tE7VRtTw0QsdbEu4a67KK05OkeYlzcDh8ZEkRKuSX7NONoQdl/vJHXGCDAaDxjhB2+ddwO8Bd4vIJ4A54L97ga/5KeCdwAeANwG/MbZvTUSOof8Hd25x255jfZjRH01eXx+mzNev/Ud+dnXAMCnwXQvfsVjuJtQCZ+QUKdYGKXGmO7ROzVZI0oJPPrFKWSq+5q4p/quXLPHw317mwqjzx3dthIL4JvE64bkLnBLdgaPKEseycG1hvhFwaqbGsWZA60KHXpxz32IN39Wq1q5l0UtzHjwxxWw9QGBTvde1rc2UmO/eXkojcO3N1wiv00JeD/RFtlCKqcqNhQJvl6rv8KIl7bPvVHebiNx2qjAvSv7i7BpJVuI5wnw94OXHp3jicpf1fsalToLvCJ5joZRiuZtwqYi1gzp6DYtr6398S3d/ZSUElq4hi0cF0xXXYaHpk+SKexZq3DVT5+hMiCVCZ5gy3wgZJBnrg4RWoCUcPNuiGujhrxt1T+mohgzYVBofZ6rqsj7QdVMGg+HOYZygbaKU+isR+bvAfehr5mNKqewmT9vOa8Yi8nHgs8AzIvJjSqmfBn4CeN/oWD84esp2t+05qr7NMMtZ6aX4rmzpBKW5/v7djXVK4kovplAed89PkWQlZQlPrQzoJblOo4kizgqeWRsyTDOOTlV50UID3xGUUqz1My61I7C00F069i1f0LeboY1rCYMsJ8v1xd21IfAdoqxkpqrnm92/WMdzbF592iXJC86vR6R5zvHpkDNzVULPobFFobPnWNy7UCcrytuOnmwMzryelABoZ+uehTurF7MVO9naX5aK5X6CoCNC2ynMVUrX1URZgWXptFdWwFIz4PRcDcsS4qIkLUqGaUYrDLBFWBumWDaUueC7NlleYjnaEUmK5+bjhK7+DF3HpuG7ZIVimGWUUY4jcHymynd9zQmeWRsyU/V40ZEGL15qkOUKhR6nstQION+OqIxqwhYaAfct1GmOOaueY3FiusIwy5mpXusEHpuqcGzqzp1rg8GgMU7QLaCUyoEvAIjIN4jI/6yU+oYX+Jr/41Wbfnq0/XPA37nqsdvathepeA5TFQ/ftkkytanOm+S6OFNEODFdYW2Qkhc2F9oxJ6YrzI+KSAdJwnJfFx9XvADfsTg2XWWu7rHcj7EQ1gcJq8OEuapPnOuhlmcWXTpRyrPtAZJBMcpzbBS2+q5F4Dh4jmI9KvFsm4pnUfddpqse9dBmtZ/yl0+vc+9CnVrgsNxP6MU5Nd/BEmHhJh1LnmNdU9iqlOLs6pAoLTg6Fd60U8xzLN15FmdUPedA6gytDlKujFrZHdvaVtRjmBZc6cUsdxOWBwm+YxG6Nqfmqptz2ebrASIwU/U5Pl0l9Gw6cUael8zXHeJCESUZSS5ESYFva/Xnfg5JBpalsMqStWFCPfCYqngoBN8RzsxVCF2b1987R5IVLDZ8CqU4OVNFocjLkiQruW+xTuBa1HyXu+drTI9Fu6K0IMoKWqF700nwBoPhzmKcoJsgIl+P1uE5AnwQ+JfAb6K/KP70BE17QSR5QTqqXdktpioeSRYTehaebfHUyoBBUtAIHU7O6JlIgWvzpUtdQJGVJYsN7WCs9BMW6gGzNZ8z8zVqvu6uefMDSwSOzdnVAU+vDlgbJFxxY5aaIbNVh+VBhmcLru0Qpflm2mMjBRZnCqVK0lxhWza2BXfN17hnvsGpGV27dLET0U3ykbZLjXPtId1hxsuON5837+lWiLNyMz24Nki31S7/1MqAKC0IPeuOqwTvBTbGo7SjlNDVqaKbOXuBa9NPctpRhiXCkVbAYiNksRGglOJSN+aJKz0sEaaqHgpFL86Zqfn4rs181eN8O2K5LOkME11UP4oE2ej29yRXiCh8y8JztJhm6FjYtk2z4vHKU1O0owyl4GNfXqXi2Sw2fGxbEGXRDB3umq1yaraKawn2WA1UmpebWlnDNL9ho4DBYLjzGCfo5vwrdGfVp4A3A58Gflwp9fMTteoFkBUlX7nSpyx12mGrQtudYK7uM131sETXfgxTXawzSJ4r2lFKodSGk1BwqRtztBUSujZ5oai5ukB6Y6J2q+Lx9ffP8+iFNr//6EV6ScEwU5QqQhAWmgFpVuBaz9V6CPri5gKuDa6jyEqLmmMxV/d54EiLRuhysRMROjaduBiNLHC0QzTMWRtmXGzHzFQDmpVbr/XxR6rXUVpsW5U3yYvR7y3r3/c9rYrHMC0YprrTb7mXPG9trvQSnloZ0Agd7pmvY43Ujl+81KAZuqz0U1oVj5mazxcutPmrZ9q0o5QsVzgWpKUiyxWWwFzdox7YOJZD1U8Zpi6OkxKlSo9SQY9SUSXYDhSFolJ1qQcOjcDdFDdsBvq4G+MubNHzwpK8JBCHTpSiYkUjdMgKhesI98zXN527crTegU2Va4PBsHsYJ+jmKKXUI6PbHxSR5f3sAIEWSNv4h7txYb1V+kmOY8ktD20c/2Z/pBWyPkyZGaU9OlFGkhUcn66w0kuYrnq0hylHWyEnZyrEWcn6MOUrV/qs9lPyUo/caIUeLz3W4tNPrnGpk5CXJf00I8mgm6TUXGuz3qhEt8vXA5vQc5ivewzjAltKWhWPN96/wEIz5EJ7QJSVlApecqRG4DocaYU6mqAGZEWJbVss9xOt/VOW+M72z4VlyWaLslKKslSb6ZvrcWK6QnuY0TrAKZNWxWW1r/8tja+VTpTxia+s8PTqkLmGTyt0N9OQ842Amu/wVUctHNtitZ/whYtdPvXECvlIkfnkTJUnlgfEeYljCaHrcKEd0x4OcBGagYPvaH2pvASxoeJaCGzO8VpqBNiWICLcf6ROWQrHpisErsWRVshM1WOpFXClG2uNn0FKN85xbEiyEgLIcqXXzmjae+DanJipEGfF5t+BwWDYPYwTdHNaIvJtY/dl/L5S6ncmYNMLIvRslloBUVow37j1TpyVfsLFdowInJmv3fb06umqt1n3EWcFz6wOAd0J86IjjZGDpO0TEULPphcLV3oJUZLx6bPrOJbFkabP8ekK8/WAfL6km2Qs91JycnpxQZHrsRqODUWhhe1C16bmO8S5ngLfrHosNX3umgsZxIqshFKV5AUMs5IzCyEnpqu0Kh7zdZ+nVgYUpe7KevxKjyzXAom32r68kQ4pSsXJmcoN05P1wN3V9OUkqHgOd89XyQr1vBRhkhW4ju6046pxDhc7ESu9dDOt2ghdKHUrfJSVTFc8aoFLXpZ4jkWJopco1kc1SI4NWV7STwqyUkcIbYFm6BE4FnFR4FgWSVYw3wppBTZVX6+Di52EmXpMkpc0Ape752qbzm1aqM301lzDp+LZVLeY9t4MXaMebjBMCOME3Zw/Af7+de4rYN85QbC1QvN22YiqKAVpUd62E3Q1G23gIrKpILyBUor1YUpWlDQrNpc6Q7KswPGE1UHKXN3H8yzmmwGLBDj2gCvdmCJW+K4DVo5Yui6oLGF9kNGLc0LfQSlF0k1QCL/3NxcpFbzi5BSzlTqhZ8FoAniSlzy1MmC+7vPiI039vLzcLObtJznzt/ieh2mulamBXpwfeCdnO2ylcTRT83nJkQYLdZ+FxvOH1raHGZ044+m1Ab5rYYvw4qUmf31+nbV+xvlOxIVuxIV2RJTmtAKXimejypKsKOjFBemoddAarUHXtqj5Dq+5e5qVXsLaUDeCNgMXz7HoDFNWBymLjYDPX+jyVUebWsyyqUUxlYKT0xUdaVXC/Yv1m0b6DAbD7mOcoJuglPrHk7ZhrzFf14MuPduicYcu2oFrc9dslSQvaYUuRaloD1MqnkOpFH/9TJunVvpUPIe6b3NypoYgDNKCxUZAXpasdhMsETwHUIo4K2lVfGyBec+nm2RcahfEhdqcIK9KXWNjiZ6n9Mx6xEzokRcl/82DS/zF2TXirMS1hHNrQ3zHpihLzszXEdHpwLm6zyDNqQcOj13q4TkWJ6cr27ro1QOXqp9SlOrAa8B044z1QcpU1bvldWNbwsmZKidnrlXcnqq4/JcvXsK1LS13kBQ8246I0gLXtsiLAhGhG2XEWa7rsEKPeugxWxScb5fkKKwSPEdPbQ9cm4rv0IkLSgFbLM4s1Dg6VcFzhJVeQj8taFZcjo5mfdmWFvhsRymerdNcL15qkuYlF9rR8xSgxylL7UwHrmXmdRkMu4xxggy3jGNbO9LFUvUdNiRSnl4d0I1yRKDuO8R5QX8002mxqWcs+a5FlpccaVX4ypUOrarPSj+h28u40kspSlClotXwCR2Lp9aGepYYELrCfCPEtYQoK5irB7iWMMwKbMdiquLTS3KaFQ81zJiv+2QldIYZIs+v4dm4sJ1bG+qhrXk5copufqG3LeH0IRlfcG5tqEdKJDkvOXLzMXedKKMsFa2Ku6VzsOEoX+xE+K5DlBYjjSnhy8s9orTcTDNWXJtL3Zj2UCjLknaUMesIVd+nFRSURYpr2/iujWMp6oFPM9SRw9C18RoOR6dCvu7eOaquzTPrEa4lLLUCvJHo4d9e7HKxE3OpGzFb9Zmp6TTXcj+hPYokVXz7GgfwieX+yGF3r1GKTvMS1xbjHBkMO4Rxggx7kvGxUVXfoR/nZHlJq+Vw/2KDqm+z2ktpRym+a1P3PYqypOJavGRpCkvg7HpE3dX6RMu9BNuGQqDqOhybCrlnqU4/zpmpuJyerVENHD53oUualyR5wV+eXce1LY5PVzgyVaEsFb04Qynh4qhrbZxG6NKJMlzbuq6y82HGd3Q33HbSp90426wRy0v1vPTXBhfWI55ZG/Llyz2itKDi2jxwpMXKIObkVIXVQUqhFK1QR3TumavSCD3Orgx4cqXP6iCjFdpMV31Cz8a2bCqejWPrOWbHZ2rMVDzSouTMfI1XnZpioRHw1OqQ0NVfBKZG0buy1F1lwcgxL1C6GBodWQKd7vWuGhdTljpiCWx2S25wuRtzpZsQuBZn5mvGETIYdgDjBBkmyoV2xPqopme8BujoVMjaIKXi6QtnzXc4Pl1lqurj2sJjl/t85UqPc+sRWaE4OV3lmx9YIi9LFps+eQmB65AWBXXfYSp0GSYFRaFb9U/OVFlshJwvhviey9J0hdOzVS51UxwHHEu0Vowteh6Ua48EHm2KUTfX1TRDl/pSw9R+XIfTs1WGmXZWbsb4CInlfoznWDRDPXjUGik+P365x+ogoR7YCFqA808eX+aBow3uXarzya+sYovwxPJQqz5bwl2zVfppznIvJs0VFc9luupQliV3L9TpRyk136ESuLz0aJNXnJwmcK3NAalxVoyGyArrQ53ai7MCS3S3XyfK8BwLQTZnos3UtOCnbck1opmWpbWNOlF2jaPXi3X0KM5KskLh3WgKsMFguC2ME3QTruoMu4b92B22V9CjLfRgyNV++jwnyLWtzftlqTvG0qJERPHly33OLg957FIf14bHL3VZ6SfM1nweONpkquJTcR0UMEhLXLvg1HyVrz7R4pm1IZ0opRa4lGVB6Gj9oWfbMY3A5dWnp+kmOXXPoRPl3D1f5fgo9Re4Nr4rXGyn1K8zAsM4QNfHsoTaNkeHNEOXY1MhT68OSDLFM6tDZutai8ex9WDamapHWSoqnsWfr61zsRNRFLo2x7Mt5msBy4OEmapPnBWEvk1alriWReg6HG25xHlJN0qZq2sV8q950SKDNKcz1IXwFc+mE+ki+vm67vCqBw7DtGCm6rM2SLmwHm12Si40AhqBu6kAvUHoXd/xm6n5zGzRqLDQCLjcjan57jXOk+FgYibH7z7GCbo5G51g88BrgY+M7v894BH2aXfYXkBEmK55rA9SZmrXLwpuVlxetNRgqZmx2k95cqXPlX6E5wqOLfiOVkIsCj1HyhYhLUp81yLpFfiOz1o/plBCZVRf9LkLbZaaId/1quN0k5yiKHjsUo+lZsDr7pkF9CTzq+d9lUq39g/TYlvaPjvNlV7MSi+lVXE50rrx+I79yJVezDAtma/5dIYpIkIjdAk9HZ25a7ZKO8qoejah65BJoUUXk5xekvFse8hdM1XOLFQ4OVOjHxfYllANbKJcEXg2dfS6ONLw6cU5nSjBdx2GWcETV3qcXR2S5CVzNZ/Xnpnl1OxzxdkX2hGgI1e6uNkm9OwbOj3b5TBIIhgMk8Y4QTdhoztMRD4EvFgpdXF0fwn4t5O07SBwtBVeU1uzFbpLTI+YqAcOJXD3XB3LUggW3ShFKUVnmLEeZniuTn8cn67gOxb9OGeYFjiOTZKXRGlJVpQoFGfmanzqiVVqvo4MrPZTlprhlheyuZrPcj+hFXoTd4AAVnq6s0zbHByYupFhmvPohQ69uKDqO5Roh+VKL2axGXDXbBURLSvwbCdithYQjlKnrmNxb0u3pCdFydpQp5rWhimt0GW26jFMCmzLYpimNJs+Avz50+s0Qw+lFKdmq0yFHsv9lM+ea3NypkKUOtc4vvN1n2KkBN0IzL9Tg2G/Yf5qt8+pDQdoxGXg3kkZs59RSlGqrSeSP9uOWB+mzNWuFR6s+Q5n5mssNgM82+JKNyFTJWdm66wMEtK85PzakC9d6jJV8Tg+U8O2hO4w5VI3xUKr/oYWPL0WYYkwXfUpSkU1sLFEp+cGScGFdsSZ+RplqTi/HpGVJUdb4XVTF5NiuqqLvq/XQbVfibOSuu8wTApmah5zdY/OMOfktJ7BZVmCUopHL7RZ7sW0Kh73HalxsR0TOg73LzWYawTkheLLl7s8sz5kmOYUrQr3LTXwXIfAsTg6FfLJr6zwbDvm6bUBM9WcpVbAy45NkauSz51rU/VtAtfmnoVrtX5c2+LEjJn3ZTDsV4wTtH0eEZE/An4LLZL4XcBHJ2vS/iMrtEJyXiiOT1WumZq9OqoRWu4nW6ovD9Ocxy/1WOklpEVB1bO53NMT59cHKTMnWgzinEGa06q4zNZ82kMP37N54kqPYZKz2KowXQtYaPgM0oJm4HKkWWG1l1APhdV+wt3zum29F+es9hM6UUZWlNy/2Nj5k3QLLDb1+zhIDhBAK3QZNrTDeaQVEGUFlzsJgWuTFSWl0g8ArwAAIABJREFUEs6vDbnUSbAtm2Ga8+x6xGeeWsd19KDTV5yc4uirjvMbnzzLly51OBvnFKN5ci8/3qQeOMRZydecnuZjj10hKQLqgcurTk5zZCrQat6eS9V3ma561E2kx2A4cJi/6m2ilPonIvKtwOtHmx5SSv3u7b6eiNSB9wLTwLuVUr951f63Aj8IrAFvQTteH0Sr+neB71ZK9UTkEfRMUAX8C6XUR9jDRFlBluvWn26cXeMETVVd2sOMmVGERg871Rf4rCh59Hyb8+sx68OEeuCRFzmn5wJ6UU5RlhRKeNnxJufWolG0SWuzlGXJSi+hFrigFGcW6pyarWChdYJaFV0DkmYF9UC30AMEnsXqIKWf5PiuTZqXe65I9aA5QKA/84VGwJVeQjvKyAu1qSQ9TAt6cUYnyrBEUQ9clpo+j17oUqLrtuKRurfvCJ4rFCVEWc5U6DJfD6j6Dr04Jy0KmqHH156eZaWfUPUcXnV6mvl6wPog5Wgr4POXOvi28Mya7jKr+jottjZM8Zw7JxhqMBh2H+MEbQMRsYE/Ukq9Cbhtx+cq3o6OKr0f+KiIvE8plY6O5wLfj3a4vh14J/D/AN+jlLooIm8H3jbaBvBGpVR+h+zaUWqeQyN0SPNyy9Edx6YqTFVyVgcJX3y2g21pjRTPsTaLTztxRpyVvOxolULpi+CVbkzFc6j4Nr1YF8WuD3Law5Qo06MpZqsezYrPvYtVXnpsinaUsdyNsS2LJC9oBg6Ja9GqepuOhe/Y3DNfY32Y4tij2VWGXeFSJ94UGTw2HaBQXGxH2Jbu1NNro87d8zUqnsNaP6UTZTgWCCXDpKAfKzzLGhWzW2S5InAtoqzQs8RGys6n52p84UKHtCipuLojzLJ04f5d0zWGaTEafKoXwKVuvBm1PDNfuyOF0AaDYfcxTtA2UEoVIjIUkaZSqnOHXvY1wA+OXvuzwH3Ao6N99wKPKqVyEXkYHXX6WWCjJikHNpTVSuBhEbkE/IBSau0O2bcjWKPxB9cjzgqeWhlwuRdjIczWfKK0wHMsPEcL1PmOTdW3WWqGzNb1/opncbET009GwnOJTpX1E3jm0pAoK7hvocZr757WYzYKxVIjYJjkxJnu6mmGLskWztnx6cqoI8nGtfdWFOggs3Guk7zgYjsmzUuWWiFFCVMVj6qv1bkF7ZjM1H3uR4trLjYD1gcZloIz83UypVjpppycCfnylT5zNd0Sf3ymQjN0ibPn1tj5dR1FBGiEDkdaAXmpuOcFDAs2GAx7E+MEbZ8YeFRE/jMw2NiolPrh23y9FjqtBdABprazT0RqwDuAN482fYdSak1E3gL8M+BdVx9IRN4xeg4nTpy4TXN3B6X0TzNwSXKdmhqvxbhnoU6r4uHawlxd1wz5js2FdkQz9OgnOk2SK8V06OA4FZ5ZHRK4Nr0k5/MXu3z2QoeK53CkFTJTcxmkOXfP1q7bjmxZsqkMbNhZ8kILAwaupVvZfRvfEZJcDyXNS0VjtCaeXh3w1OqQLzzb4fX3zBF6DtNVGCQ6wlcLHI60qiz3E55Y7nN8JmR9mBF6NnE25OXHm5vT27Xas63X35g9Nd/Z0mlfbASbTpOJAhkM+xfjBG2fD49+bgkRWQTed9XmS0AbaKCdq8bo/gYb+xjfJzpH8+vAjyml2gBjkZ/fRafIrkEp9RDwEMCDDz54rdTxHiL0bI5Ph5sRmas7yJzRrK/VfkGp2BRU9GyLuCyp+g6DuGChroeqnl+LyItyNDPM5vMXuqR5wZn5OmleADVssehE2aYTpCfWZ1gCrYpxfm6VQaJnvm01Df5G5EXJ45f7FKXCcyzSXEf1tJNREOcFDceh5js4tsXlbsLHH7+C79gsNQMeONpibZDwV88MGSZaJ8p3bT53rsMgLZit+cw2Paq+Q5Jr7aENfMfm7rkacVbQDB1WBzoNd72htpYlW6ZzDYb9wLgo49mf+eYJWjJ5jBO0TZRS/15EPJ5ri39MKZVt43mXgDdcvV1E3gW8UUQ+ALwceGxs9+PAA6NapDcBnx5t/xfAJ8aLn0WkoZTqAq8DnrjlN/YC2CmxwBs5HnmpRmMLoBtlm07QyekK3SSn4tk8uTygG6X86ZeXObceEboOS/UA2xLSQhdd+7bFXTNV8rIEEXznuW/zq4OUi+2YoizxnIhWxdvzGjwb40dma/6Wk8p3i0703Myvk7MVPNtiuZdQ852bRtOyQlGM8lBpUW5un6l61GYcvvhsF0uE1UGC6wiPXe6y1k9phB6r/ZRza0PWhwnrwwzPsihLxeVugmNDI3BYavq84sQ060OtKfXk6hDH1uMuXNvCH4vqbDWrzGAwHDyME7RNROQNwL8HzqK7sY6LyPcqpT52my/5q+jusB9C1/wkIvJNgK2U+rCI/ArwcWAdeIuIHAH+F+CToy619yulfgn4iIhE6IjS2277Dd4i59aGtIfZlpOvdxLXtpipeaMxBvpinxUlT6wMyAvFsamQM/M1/vDzFylKIUlLFhsO880AkZJKZnNyusqrTk5RAk+vDsmKknpwbUqjPcz0rLASQtfe0ymx9UGKUrA6SCbqBG1EbwCyvGS5lzBMCtrDjFrgXLemSimdAptv+LSHepaca1so2Oy+mqvrMRUzVZ8L6xEWghIhdC0KVfKliz1KSu6Z04X0gyQHpevMWqHHfCMcqTmHXGhHKAVZruhFGauDlDgrOdIK9pQOlMFg2FmME7R9/hXwjUqpxwBE5F50d9crb+fFRtGbb7lq2x+O3X4P8J6x3R3gmquwUurB2zn+C6UTZZu/j+/ysaerHtVRlxlAP9Yt1AD9JGeq6jFT9Qhdi6XpkFeemGKu6aNKoZdkvPLkNM3Q5fz6UM8N68SkheL0XJX5esBM1UOAemDTi4vNepG9zHTVY20UCZokM1WPvNTFyhvjRYboURWWCIMkJy/VZi0OaCflyeUBCsVCwycrFBfWY45NhZuOpy5+t1lqNihKxSDNWWwFPMgUZ+brIAprNNR0uuYzX/d4cllHpJqhx3w9IM6em9I+XfHoxzm2Jbi2tTnJvRNlxgkyGA4RxgnaPu6GAwSglHp81Mp+KJlv6G/l16uZ2CnSvOQrV/ooBdM1jyvdWLfH+zYLDZ3yirOCr71rBrGEolBMV33m6z4limbY2KxVCT2bvCyp+jYr/QSlFFFacHqutqkMHWfaCRpPl+1FjrTCPTE7zLKEpeZzdhybCmlWXMLRBPYnl3VPwVIr2HTY+km+mQZbH2SbE+Q3UmJprgU2lYInij6ebVPxbb72rhlW+gm2ZRE4QlYqXnFiajOldXQqJMkLFps+3ThnuqJHYrSHGb0kI3D1kF7fsWhVXIZpYdJgBsMhwzhB2+czIvJrPBedeSvwlxO0Z6LM14PNdNRuUiq1eZGM0oKzK/rbvhIIXYfVfsraIOX+xTqvvmuGi51YT6S/KkV0oR2x1k+p+jatissza0MtgqeeXze+1yNAex0R2UxnDdPnIjEbkTvQE+O1HpBOZ64PM4pSbTpJ4595J8qYq9kMk4K7ZlxaFT025FInRgQWxgS9xx30ubr+faEdcbEdcW4t4uRMhXI0hHU3U7oGg2HvYJyg7fM/oBWcfxhdE/Qx4BcnatEhJHBtlpo+l7oJczWPhYYejHm0GZKPogllqXhyZYCgxRe3amFORqkRSyzunq9xYqZKL86YMt1gO0YzdFlsBhSlYn4s4uLaWhBzg6WmQ1Eq1ocpoWtT9R1OTFcYZjnzDZ9OlNEK3c2i/CTXn6VSOmq0EbWL0oLz60M932u6gmUJZalwLMGytHMVuEb3yWA4zBgn6CaIyAml1DNKqQT416MfwwTpxjlKwfl2xH2LdS53YxYbAbXAZXWQkBdqU2l4dZBwzLv2W/6RVsiVbkLFt/EdG9/RmjCGneVm6aZhmnOlm9CNMkQEEbh3oU6z4tJER5QWrpopN18PUAo8x3qe1tPqICHOSuKspJfkNEOXpWaAa+vBqRXPoWo+c4PhUGO+Bt2cD27cEJHfnqQhBs1GIkUpuNyNKUp4tqNb2uOsRCmFY+sLaCPcumwrcPW4hEkXEhuez7PtmF6cc6WXkBXlSLzwxtJWnmNxfLpyjXNUD1zWhymXexFqlE9zbIvFZsDcaH6YwWA43Jj/AjdnXBzm9MSsMGxyfKrCci/GErjYibHEourbLPdS+rEeoXZqtkLVc3ZEx8iwc4SeTZQWzNU85po+dd+97aL0wLVohi4iLiv9lNaoMHp1kGKJ7HpRv8Fg2HuYSNDNUde5bZgQK/2ES92Yvz7XwbaEim9x91yNiq8vlrYlBK5tHKB9yNFWSLPioEToRcUtq06P41oWgWsj6PEbACt9LYR5YT2iM7yp1qnBYDjgmEjQzXmZiHTREaFwdJvRfaWUalz/qYadoJ/kZIWin2QoFRK6zuYYg5qvBfmuHrdh2D8UJdgipLkekHq7s7ksS7hnvkZalJtdfs8T/R67XZaKKCsIjfNsMBwqjBN0E5RSpkd6j1H3HZ640qfhezRDl6Nj+jhbtbQrpYizEt+xsCxBKbWnR2AcdubrPkVZEnrOthyg8c+zLBVJXhK4FiKCZQmB9dxrzNZ87NH2ccHGJ1f6RGlJLXC4a/bagakGw04yPsvLsLsYJ8iw7/Bdm2NTuuOr4t/4m3uSF/zZk6tEacmp2SqLzYBza7pt+u65Ks51xjgYdpeVfrIpvjlb87UK9E1I85InV/rkheLUbJWa7/DU6oBhUlAPHE5dx5m5evzJhpMMPE9V2mAwHHyME2TYd7RClygrKEvFzHWKW9cGKWuDhCwvaQ8zilJfaEPX2tSTibKC+sgJ2qlhsIbtcakTo5T+fXXH3jDNebYdE7jWpvO7sT3LdZleJ8qo+Q7RSJBxXJhxK8Y/bxHh+FSF9WHKTM0USxsMhwnjBBn2JGle4tqyZdrKsuR5KbCtuNiJKEuIspz5RkA3yjg9V6XuO/STnNBzqHoOZal4YrlPnJXPm1Vl2F02VKMbwbWSBle6CVFaEKUFU5V8s7W95jtUfJu8UEyPRC6PtkLtzFS3lj5QSvHlK33itGC27nGkpZ2qZsWlWTm0U3AMh5jxVNzZn/nmCVoyGYwTZNhznF8fsj7IqPg2d8/Vbv6ELaj7Lp1IK0DP1X0agUupFF9Z7lOUbCoOD9N8MxXSjjLjBE2I49MVlprllunJWuDQi3NcR/Cd5/Y7tnXN+piqelt+hv0kxxY4uzrkCxe6RJketOs5ttGKMhgOMcYJMuw5+onW+hkmxTVpql6ckeYl01XvhsXNJ2YqDJKcp1b6nFuLmK0X1AN3M33Si/VFMHRtGqFDlBXMmlTIC6IzzCiVum1H8nr1WbM1n2bobhY03yobs8WKsiQvFdXAZnWQcHrOoxfnxgkyGA4xxgmaECJSB94LTAPvVkr95lX734qeVbYGvEUp1RWRx4CLo4f8gFLqiyLy9cBPAzHwj5RS53ftTewQS42Q5X5MY2w+FDx/YGpalM+bVr4VtiUopZ+f5iWBYwG6k2i2ri/UIsLJGdMN9ELpDDOeWdOfTakUM3fYsXBfQAH7xjR627KoB3pi/KmZKrYlW47xKEpFN8oIPdsM0DUYDjjGCZocbwd+C3g/8FEReZ9SKgUQERf4fuD1wLcD7wR+FlhWSr3hqtf5ceAbgRcDP4p2nPY116vP2BifoJRibZDiO/aWqr/dOKM9yJiquiy1AqK0YL7hc349AvQ4jdtVITZszfhoi72kKNoZZsRZge8KrdBj/qrRGltxbm1IL86xLLh/sXFdzakN9WlbxKRRDYZ9iukPnhyvAR5WShXAZ4H7xvbdCzyqlMqBh4FXj7ZPi8jHROTdIhKISAWIlFI9pdSfoR2haxCRd4jIZ0TkM8vLyzv3jnaYiqenifuuRV4oLqxHrA/Sax53bm1IJ9KRidmaz/HpCr5jU6gNJ4rNWVKGO0Or4nF0KmSpFVy3Y2+3KUvFufUhw6RAKdmWAwRse50s9xMutmPOr0d0Y6M+bTDsR4wTNDlawIb6dAeY2sa+v6OUej3wNPCO0fbu2PO2DG8opR5SSj2olHpwbm7uDpk/GZoVl7l6gCUb7c3XPmYjynN1tOfYVMhs3ePkTMXoA+0AGxo/e0WIUuS5NNp4QfXN2O46kTHJ6b3xjg0Gw61i0mE7jIgsAu+7avMloA000LU8jdH9DTb2Mb5PKbU22va7wD8FfnXscQDlnbR9rzJd9RD0Ra5VuTbqcNdslWGaXzN3ynfsm9YRGQ4OIsLdc1WirKB6CzPItrtOZmsetiXYllDforXfYDDsfYwTtMMopS4Bb7h6u4i8C3ijiHwAeDnw2Njux4EHRMQG3gR8WkQ8QJRSCfA64Aml1FBEQhGpoVNhX9zZd7N3uFENhrkoGTZwbGtTEPNOI2YSvcGw7zFO0OT4VXR32A8BDymlEhH5JsBWSn1YRH4F+DiwDrwFnfr6AxHpj7Z9z+h1fhr4z+iI0vfu8nswGAwGg2HfYpygCaGU6gLfctW2Pxy7/R7gPWO7O8BXb/E6D6OLpw0Gg8FgMNwCxgkyGAwGg2GXMZPj9wamRcZgMBgMBsOhxDhBBoPBYDAYDiXGCTIYDAaDwcCp//XDhy5NZ2qCDAeGy92YXpwx3whomBZ5w22wPkhZHSS0Kp4ZrGo4tIw7Qmd/5psnaMnOY5wgw4EgK0qudBMALndi4wQZbouLnZiiVERpzEzV2zPq14aDwWGLsuwHTDrMcCBwLCH09HKuBdq3z4qS9UFKmh8KIe19w8bnkhV773Opj9ZOLXCMA2QwHAJMJMhwINAjEmpkhcIbzYk6uzIgzko8x+K+xfqELTRs8NTKgCQr8V2Lexf21udyfLrCQqPEtY0DZDAcBowTZDgwiAie89zFa2MaeF7uvYjDYSYv9OdSlNef0D5JvFsYtmowGPY3xgkyHFhOTldpRynN0NQH7SVOzVboRBmt0MzdMhgMk8U4QYYDS+jZhJ6ZGr/XqHgOlVuY6m4wGCbHQe8UM/+JDAaDwWC4gxx0x+EgYZwgg8FgMBh2CNMWv7cxFYATQkTqIvL/icgnROS/32L/W0XkkyLyIRFpiMiiiDwy+vlbEfm50eMeEZE/Gf3++t1/JwaDwWAw7E+MEzQ53g78FvB64PtEZLNKVERc4PtH+94DvFMpdUkp9Qal1BuAPwY+NPZabxzt+8iuWb8PWR+kXOnFlHu0K8lw63SijMvdmHwPag4ZDIa9j3GCJsdrgIeVUgXwWeC+sX33Ao8qpXLgYeDVVz339cAjo9sl8LCIvE9EpnfW5P1LL844vx5xuZNwpZdM2hzDHSDOCp5ZHXKlm3CxE0/aHIPBsA8xNUGTowV0R7c7wNR29onIg8DnRg4SwHcopdZE5C3APwPedfWBROQdwDsATpw4cSffw77BGlP/tYwO3oFARP8oBZb5UA2GHecgFnwbJ2iHEZFF4H1Xbb4EtIEGEI9+t8f2b+xji33fCvzOxh2l1Nro5u8Cb9vKBqXUQ8BDAA8++OChzAVVfYdTsxXyQtGqGN2gg4Dv2JyeqxJnJS2jBWUwGG4D4wTtMEqpS8Abrt4uIu8C3igiHwBeDjw2tvtx4AERsYE3AZ8e2/eNwE+NvU5DKdUFXgc8ccffwAGiboaqHji05tCkrTAYDl8X2EGJChknaHL8KvBe4IeAh5RSiYh8E2ArpT4sIr8CfBxYB94CICL3AU8rpaKx1/mIiEToiNLbdvMNGAwGg8GwnzFO0IQYRW++5aptfzh2+z3ozrDx/Y8B33HVtgd30MwDjVKKlX6KawstE07YN6wNUpRSTFc9M+ndYDC8IIwTZDi0LPcSLnd1p5htiUmX7QPaw5QL6zoQqoDZmj9ZgwwGw75OjRknyHB4GQsimIjC/kDGPjTziRl2muvV+ey3C73h+hgnyHBomav5OJaFbQk13/wp7AeaFZcTVCiVYqpqUpiGO892CpwPWxH0C2UvR4rMf37DoUVEmDYX0n1H00gcGLbBrVx4jVNz59g4l3vN2bkeotShlI05tIjIMjAAViZty4SZxZyDO3UOvhr4qwkdezfZjzbD/rP7dtbTnWS/nS/Yfzbvtr0nlVJzW+0wTtAhREQ+c9i7ysw5mOw52I/nfz/aDPvX7kmxH8/XfrN5L9lrZocZDAaDwWA4lBgnyGAwGAwGw6HEOEGHk4cmbcAewJyDyZ6D/Xj+96PNsH/tnhT78XztN5v3jL2mJshgMBgMBsOhxESCDAaDwWAwHEqME2QwGAwGg+FQYpwgg8FgMBgMhxLjBBkMBoPBYDiUGCfogCMiVRH5QRH5fhFpjG1/5yTtMhweROT+0W9PRP6JiPyyiPyIiFQnbZvhcGPWpsE4QQef3wLi0c8fiMjfHW3/zsmZtLuIyAMi8kER+YiIPCIiHxWR3xWRl07att1idA7+k4i8T0ReO7b9l3bh8L84+v3zQA34OWAN+A+7cOzbYr+uGRH5rtHvEyLyH0Xk4yLyeyLy4knbtkcxa3OH2fNrUillfg7wD/DI2O0a8H7gh4CPTNq2XTwHHweWrtp2BPj4pG3bxXPwMeBu4CTwXuDHRts/ugvH/sjo9yNXbX9kp4/9Amzel2tm7Fz/v8DrRrfvA/5k0rbtxR+zNnf1HO/JNWkiQQefXEQWAJRSfaXUdwLzwGtv/LQDh9zk/kHHUko9oZR6Win1FqAvIu8HKrtw7CMi8nFgTkRaoNMPQH0Xjv1C2I9rJhSR08CsUuoTAEqpxzBR/+th1ubOs6fXpDNpAww7zj8AsvENSqkfF5FfvM7jDyLfD/yCiEyh//AUsAr8wESt2l0+LyInlVJPAyilfl5E/hb4v3f6wEqp+7fYXAJv3uljvwA21sw0es2U7I818yXgx4HHRKSllGqLSB1Yn7BdexKzNneFPb0mjWL0IUVE3qyU+oNJ22E4+IhIDXgn8GpgCmgDnwberZTqTdI2w+HGrE2DiQQdXspJGzBpRORHlVL/x6TtmCS7dA7eiy40/XdAB2gAbxpt//s7fOzbQkQeAH4KbevGt+0O8BNKqc9N0rYbsYXdCn1h/9+UUo9O0rY9ilmbO8xeX5MmEnQIEBEHXYi28U3nMaVUduNnHSxE5JVc+23vGaXUlYkatotM6hyIyCeAr1NKlWPbLHQh5+t28ti3y6hO5DuVUs+ObTsCvF8p9XWTs+zG7Fe7J4VZmzvPXrfXRIIOOCLyj4DvA/4G6KK98ZeJyK8ppd4zUeN2CRH5N4APPIzOTzeAfwwUwA9P0LRdY8Ln4N8Cj4jI59BrsAm8BNiN9vw7yV4uPr0R+9Xu3cCszcmwZ+w1kaADzsgLf70a+6BFxEa3J/6dyVm2e4jIx5RSr9/u9oPIpM/BKBp5L9BCR6EeV0rlO33c20VEXgL8JDpqNl5M/8/3Qgj/euxXuyeJWZs7y1631zhBBxwR+T10fvthnosEvQl4q1JqT+a87zQi8q/RreDj5+CNQKKU+p8madtusRfPgSnON+xVzNo8POyJPn3DjvIWYAmtjPohdPh3cbT9UKCUehfwbrQ+0oOj3w8dFgcI9uw52HfF+SLyo5O24XbYr3ZPELM2d5i9Yq+JBB0yROS3lFLfPWk7DIeL/Vicv1+L6fer3ZPCrM2dZy/ba5ygQ4aIfEQp9fWTtsNweLhecT6wZ4vzryokH2+dLpRSe7aYfr/aPSnM2tx59rq9xgk6ZBgnyLDb7Mfi/EkXkt8u+9XuSWHW5s6z1+01LfIGg2GnWQe+U0SuLs7fE7L51+EzIvLLXFtI/lcTterm7Fe7J4VZmzvPnrbXRIIOGSLyUaXU35u0HYbDw2g0wduB16DbkNeBT6FTDnt2NIGIvILnbG4Dn1JK/fVkrbo5+9XuSWDW5u6wl+01TtAhQ0QWlFKXJ22H4fBiivMNexWzNg8fpkX+kGEcIMMeYGHSBhgM18GszUOGcYIMBoPBYDAcSowTZDAYDAaD4VBinCDDnkJEZkTkb0Y/l0Tkwth97xZe5z+IyD+4hcf/1Nixvigi/3Abz/k2Ebl/u8cwbLJnhicaDFdh1uYhw7TIG/YUSqlV4OUAIvLPgb5S6v/apcP/rFLq50aOzZ+JyG8rpYobPP7b0PL6X9ruAUTE2cvDGXeJ75q0AQbDdTBr85BhIkGGfYOIfK+I/PkoWvOLImKJiCMi7xGRR0Xk8yJyjQKpiPzvIvIXo/2/LCI3/LanlPoSkAHN0fPvEZE/EpG/FJGPici9IvJ1wH8N/JuRPadE5E9FZMOBWxSRr4xuf5+IvE9EPgT8gYi8SUT+i4j8jog8JiK/OWbrz44iUZ8Tkf/zjp28PYQpzjfsVczaPHyYSJBhXyAiDwDfCrxWKZWLyEPob21PALNKqa8aPa61xdN/Xin1EyPn573ANwHXnRAtIq8CPq+UWhttegj4PqXUEyLyOuAXlFLfKCK/D/wnpdQHR8+70Vt4DfBypdS6iLwJ+GrgxcAV4NMi8mrgKbRj9RKllLrOezEYDAbDHcI4QYb9wpuAV6HVRwFC4BzwR8B9IvLzwO8Df7zFc98oIj8CBMAs8Jds7QT9iIj8AHAX8A2w6VS9GvjtMSfndv5u/lgpNa5C+2ml1MXRMf4GODWyqwR+RUQ+DHzoNo5jMBgMhm1i0mGG/YIAv66Uevno5z6l1E+OaoheCvwp8MPAu5/3JJEK8AvAtyqlXgr8OtoZ2oqfVUrdC7wV+E0R8UfHXRk77suVUg9c5/k5z/1NXX2MwVX3k7HbBeCMJlc/CHwQ+Hbgw9c5juEOISI1EfklEXlCRP56lPJ8+2jfKRFRIvKTY4+fFZFMRH5hi9d6m4gsj9KjXxKRf7qN479BRF57Z9+VYTcRkWKseeNvROTUC3it3xCR77jO9qdGr/9ZEXnjNl7rbSJy5HZtOSwYJ8iwX3gY+IciMgubXWQnRGQOrXz+H4GfQKfWJdrsAAAFUklEQVSZxgnR0ZUVEamjnYsbopT6APAo8D2j6M1FEfnW0XEtEXnZ6KE9oD721LPAK///9s41xKoqiuO//wzSCGFmaInZO4ssTBwKUUsh6kNhD4zxQx8mKBAKzUwlNbCyD2YSopVkoFJpU8hEJthM6migZA1O6iih+IgwIiIjYSqi1Ye9xjlcr/cxFjme9YPN3eecfda+957FPWuvx7neP+OHrBz+/gaY2afATGB0tTKCqnmH9FcJN5rZaFKodFDm+BHggcz2o0BnCXlNZnY7MA6YL2l4mfknAlUZQUp/8BmcP3QVLJKOVXKSpGo9yrNdt54BVlYwvhGoygjqxXvq84QRFPQJzGwf8CLwuaS9pLDX5cBwYIeHlFYB8wrO+xlYC+wHmoEvK5zyJWCW5xFNBaZJ+oZ0A+y+Ka4H5mVWf0uAGZJ2Apf24mNeAmzyebYCz/ZCRlAhkq4H7gAWmNnfAGb2k5llE9K7gIOS6n27AfiwnGzXu8PAUJ9rsKQNnqD/laRxrjPTgJmuQxMKPQGSTvnrREnbJK0D9rmX6qCkVZI6JbVI6u9jp2eS6z84py8p6BWS6iStVirY2CNpku9vlPSRpI1AixIr/HptAoZUIH4XMCwz1xhJ292L+Zmkoa5D9cD7rlv9JR3LLCLrJbV5f6GktyW1kDzgjUpFG5slHZL0qo+rdf3c75+rrKezT2Bm0aJFi5a7BkwGmkscv4ZkPE8GXgOuBLaQVtgriow/vR+4CugA6nx7HTA+c+yg9xcCz2VkrAGmZLZP+etEUkj12sx7+4uUbA/JMHvM+yeAi7w/8P/+ni/0Rgpnd3hr9n2zgNXevxn4jhQibwS+Bwb5sUeAVqCW5LU5mb3+xfQCeAhY5/1+wE5gsG83kNIGANqA+oyMY6QiEkgGUltGB9uB/hk9PkJalNUBx0mLzTFAa0beBaFbuXN9BUEQFEPSfFK4a4iZZcMIm4GXgR+BpjJiGnzVfxPwpJn97vvvAW5RT3L9AA9/VsNuMzua2T5qZh3ebycZRgB7SR6Aj0n5ZcF/S5elMFWW8cBySI/ckHQcGOHHWq2n8vQuYL2l55GdkLS1xDxL3CszhFSsAUnPbgVaXbdqgR968Rk+MbOuzPYWM/sVQNIB4GqSF/w6SctJ+YrFilD6HBEOC4IgrxwARkmqATCzV/xmNiA7yMz+JBkZs4ANZWQ2mdlIYAKwVNIVvr8GGGs9eSPDzOy3IuefTq73UGz2Kellk+u9fz/wBmnl3p7HPI/zgFLPyyi8jlahzNnADcACUoi/e57OjF7dZmb3nuX8cy3c+AUYRfIwPUXKp+vzhBEUBEEuMbPDwNfAou5kY0l1FL+BLQXmWsr1qUT2LuBdYIbvagGe7j4uf6gmpZPrHySFOyrGDbrhZrYNmAMMBC6uRkbwr7CDVGWKpBGkEOi3Zxk31fNthgKTSgm1lLu2DKiRdJ/LHCxprM/VT9JIH15Kt8oWiBTi+UQ1ZrYBeIEzi1D6JGEEBUGQZ54ALgMOS2onVSHOLRxkZp1mtrZwfxkWA4972Gs6UO/JygdICdEAG4GHuxOjScn9d0vaDdzJmSv0ctQC70naB+wBXjezk1XKCM6dN4Favw5NQKOZ/VFkXDNwiFSN+hawvZxgSwk5i4A57qWcAiz2gooOeqoN1wAruxOjSYUlyyR9QfLuVMswoM2LUNYAz/dCxnmHPMEpCIIgCIIgV4QnKAiCIAiCXBJGUBAEQRAEuSSMoCAIgiAIckkYQUEQBEEQ5JIwgoIgCIIgyCVhBAVBEARBkEvCCAqCIAiCIJeEERQEQRAEQS75B3O3oym4SlnnAAAAAElFTkSuQmCC\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "scatter_matrix(box_df,figsize=(8,8),alpha=0.2,hist_kwds={'bins':50});" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Il semble que Ford et GM aient une sorte de relation, traçons juste ces deux-là dans un diagramme de dispersion pour voir cela de plus près !**" + ] + }, + { + "cell_type": "code", + "execution_count": 45, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 45, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "box_df.plot(kind='scatter',x=' GM Returns',y='Ford Returns',alpha=0.4,figsize=(10,8))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "____\n", + "## Rendements quotidiens cumulatifs\n", + "\n", + "Super ! Nous pouvons maintenant voir quel titre a eu le plus grand écart de rendement quotidien (vous auriez dû vous rendre compte que c'était Tesla, notre graphique original du cours de l'action aurait dû aussi le montrer).\n", + "\n", + "Avec les rendements cumulatifs quotidiens, la question à laquelle nous essayons de répondre est la suivante: si j'avais investi 1$ dans l'entreprise au début de la série temporelle, combien vaudrait-elle aujourd'hui? Cette question est différente de celle du prix de l'action à la journée courante, car elle tiendra compte des rendements quotidiens. N'oubliez pas que notre simple calcul ici ne tiendra pas compte des actions qui redonnent un dividende. Examinons quelques exemples simples:" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Disons qu'il y a une action \"ABC\" qui est activement négociée en bourse. ABC a les prix suivants correspondant aux dates indiquées:" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + " Date Prix\n", + " 01/01/2018 10\n", + " 01/02/2018 15\n", + " 01/03/2018 20\n", + " 01/04/2018 25" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Rendement quotidien**: Le rendement quotidien est le profit ou perte réalisé par l'action par rapport à la veille. (C'est ce qu'on vient de calculer ci-dessus). Une valeur supérieure à 1 indique un profit, de même qu'une valeur inférieure à 1 indique une perte. Il est également exprimé en pourcentage pour mieux transmettre l'information. (Exprimé en pourcentage, si la valeur est supérieure à 0, le titre vous a donné un profit, sinon une perte). Ainsi, pour l'exemple ci-dessus, les rendements quotidiens seraient" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + " Date Rendement quotidien %Rendement quotidien\n", + " 01/01/2018 10/10 = 1 - \n", + " 01/02/2018 15/10 = 3/2 50%\n", + " 01/03/2018 20/15 = 4/3 33%\n", + " 01/04/2018 25/20 = 5/4 20%" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Rendement Cumulé**: Bien que les rendements quotidiens soient utiles, ils ne donnent pas à l'investisseur un aperçu immédiat des gains qu'il a réalisés jusqu'à présent, surtout si le titre est très volatil. Le rendement cumulatif est calculé par rapport au jour où l'investissement est effectué. Si le rendement cumulatif est supérieur à 1, vous faites des profits, sinon vous êtes en perte. Donc, pour l'exemple ci-dessus, les gains cumulatifs sont les suivants:" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + " Date Rendement cumulé %rendement cumulé\n", + " 01/01/2018 10/10 = 1 100 % \n", + " 01/02/2018 15/10 = 3/2 150 %\n", + " 01/03/2018 20/10 = 2 200 %\n", + " 01/04/2018 25/10 = 5/2 250 %" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "La formule pour un rendement quotidien cumulatif est la suivante :\n", + "\n", + "$ i_i = (1+r_t) * i_{t-1} $\n", + "\n", + "Ici, nous pouvons voir que nous ne faisons que multiplier notre investissement précédent à i à t-1 par 1+notre pourcentage de rendement. Pandas rend cela très simple à calculer avec sa méthode cumprod(). En utilisant quelque chose de la manière suivante :\n", + "\n", + " df[daily_cumulative_return] = (1 + df[pct_daily_return]).cumprod()\n", + " " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Créez une colonne de rendement quotidien cumulatif (cumulative daily return) pour le dataframe de chaque société automobile.**" + ] + }, + { + "cell_type": "code", + "execution_count": 46, + "metadata": {}, + "outputs": [], + "source": [ + "tesla['Cumulative Return'] = (1 + tesla['returns']).cumprod()" + ] + }, + { + "cell_type": "code", + "execution_count": 47, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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HighLowOpenCloseVolumeAdj CloseTotal TradedreturnsCumulative Return
Date
2012-01-0329.50000027.65000028.94000128.08000092810028.0800002.685921e+07NaNNaN
2012-01-0428.67000027.50000028.20999927.70999963010027.7099991.777512e+07-0.0131770.986823
2012-01-0527.93000026.85000027.76000027.120001100550027.1200012.791268e+07-0.0212920.965812
2012-01-0627.79000126.41000027.20000126.91000098630026.9100002.682736e+07-0.0077430.958333
2012-01-0927.49000026.12000127.00000027.25000089700027.2500002.421900e+070.0126350.970442
\n", + "
" + ], + "text/plain": [ + " High Low Open Close Volume Adj Close \\\n", + "Date \n", + "2012-01-03 29.500000 27.650000 28.940001 28.080000 928100 28.080000 \n", + "2012-01-04 28.670000 27.500000 28.209999 27.709999 630100 27.709999 \n", + "2012-01-05 27.930000 26.850000 27.760000 27.120001 1005500 27.120001 \n", + "2012-01-06 27.790001 26.410000 27.200001 26.910000 986300 26.910000 \n", + "2012-01-09 27.490000 26.120001 27.000000 27.250000 897000 27.250000 \n", + "\n", + " Total Traded returns Cumulative Return \n", + "Date \n", + "2012-01-03 2.685921e+07 NaN NaN \n", + "2012-01-04 1.777512e+07 -0.013177 0.986823 \n", + "2012-01-05 2.791268e+07 -0.021292 0.965812 \n", + "2012-01-06 2.682736e+07 -0.007743 0.958333 \n", + "2012-01-09 2.421900e+07 0.012635 0.970442 " + ] + }, + "execution_count": 47, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "tesla.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 48, + "metadata": {}, + "outputs": [], + "source": [ + "ford['Cumulative Return'] = (1 + ford['returns']).cumprod()\n", + "gm['Cumulative Return'] = (1 + gm['returns']).cumprod()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Tracez maintenant les colonnes de rendement cumulatif en fonction de l'index de la série temporelle. Quel titre a affiché le rendement le plus élevé pour un dollar investi? Lequel a affiché le rendement le plus faible?**" + ] + }, + { + "cell_type": "code", + "execution_count": 49, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 49, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "tesla['Cumulative Return'].plot(label='Tesla',figsize=(16,8),title='Cumulative Return')\n", + "ford['Cumulative Return'].plot(label='Ford')\n", + "gm['Cumulative Return'].plot(label='GM')\n", + "plt.legend()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Bon travail!\n", + "\n", + "Voilà pour l'analyse de base, qui conclut cette moitié du cours, beaucoup plus axée sur l'apprentissage des outils du métier. La deuxième moitié du cours est celle où nous nous plongerons vraiment dans les fonctionnalités conçues pour les séries temporelles, l'analyse quantitative, le trading algorithmique, et bien plus encore!" + ] + } + ], + "metadata": { + "anaconda-cloud": {}, + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.8.5-final" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} \ No newline at end of file diff --git a/07-Projet-Analyse-Boursière/Projet Analyse Boursière.ipynb b/07-Projet-Analyse-Boursière/Projet Analyse Boursière.ipynb new file mode 100644 index 0000000..2ce2c4b --- /dev/null +++ b/07-Projet-Analyse-Boursière/Projet Analyse Boursière.ipynb @@ -0,0 +1,2389 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Projet d'Analyse Boursière\n", + "\n", + "### Remarque: Vous êtes libre de considérer ceci comme un exercice complet ou simplement de voir la vidéo des solutions comme une revue de code pour le projet. Ce projet est conçu pour être assez stimulant car il introduira quelques nouveaux concepts par le biais de quelques astuces !\n", + "\n", + "Bienvenue à votre premier projet! Ce projet est destiné à couronner la première moitié du cours, qui a principalement porté sur l'apprentissage des bibliothèques que nous utilisons dans ce cours, la deuxième moitié du cours traitera beaucoup plus des techniques financières et des plateformes de trading quantitatif.\n", + "\n", + "Nous analyserons les données sur les actions de quelques compagnies automobiles du 1er janvier 2012 au 1er janvier 2017. Gardez à l'esprit que ce projet est principalement fait pour pratiquer vos compétences avec matplotlib, pandas et numpy. Ne déduisez pas des conseils de trading financier de l'analyse que nous faisons ici !\n", + "\n", + "### Partie 0: Importations\n", + "\n", + "**Importez les différentes bibliothèques dont vous aurez besoin - vous pouvez toujours revenir ici ou importer au fur et à mesure :)**" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import pandas as pd\n", + "import matplotlib.pyplot as plt\n", + "%matplotlib inline" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "____\n", + "## Partie 1: Obtenir les données\n", + "\n", + "### Action Tesla (Ticker: TSLA sur le NASDAQ)\n", + "\n", + "**Note ! Tout le monde ne travaillera pas sur un ordinateur qui lui donnera un accès complet pour télécharger les informations boursières en utilisant pandas_datareader (pare-feu, permissions d'administration, etc...). Pour cette raison, le fichier csv pour Tesla est fourni dans un dossier data à l'intérieur de ce dossier. Il s'appelle Tesla_Stock.csv. N'hésitez pas à l'utiliser avec read_csv !**\n", + "\n", + "**Utilisez pandas_datareader pour obtenir les informations historiques sur les actions de Tesla du 1er janvier 2012 au 1er janvier 2017.**\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "import datetime" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "start = datetime.datetime(2012, 1, 1)\n", + "end = datetime.datetime(2017, 1, 1)" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "tesla=pd.read_csv(\"Tesla_Stock.csv\")\n", + "tesla.set_index('Date',inplace=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " High Low Open Close Volume Adj Close\n", + "Date \n", + "2012-01-03 29.500000 27.650000 28.940001 28.080000 928100 28.080000\n", + "2012-01-04 28.670000 27.500000 28.209999 27.709999 630100 27.709999\n", + "2012-01-05 27.930000 26.850000 27.760000 27.120001 1005500 27.120001\n", + "2012-01-06 27.790001 26.410000 27.200001 26.910000 986300 26.910000\n", + "2012-01-09 27.490000 26.120001 27.000000 27.250000 897000 27.250000" + ], + "text/html": "
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HighLowOpenCloseVolumeAdj Close
Date
2012-01-0329.50000027.65000028.94000128.08000092810028.080000
2012-01-0428.67000027.50000028.20999927.70999963010027.709999
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" + }, + "metadata": {}, + "execution_count": 5 + } + ], + "source": [ + "tesla.head()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Autres entreprises automobiles\n", + "\n", + "**Répétez les mêmes étapes pour extraire les données pour Ford et GM (General Motors)**" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "ford=pd.read_csv(\"Ford_Stock.csv\")\n", + "ford.set_index('Date',inplace=True)\n", + "gm=pd.read_csv(\"GM_Stock.csv\")\n", + "gm.set_index('Date',inplace=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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HighLowOpenCloseVolumeAdj Close
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HighLowOpenCloseVolumeAdj Close
Date
2012-01-0321.18000020.75000020.83000021.0499999321300.016.299799
2012-01-0421.37000120.75000021.04999921.1500007856700.016.377232
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HighLowOpenCloseVolumeAdj Close
Date
2012-01-0321.18000020.75000020.83000021.0499999321300.016.103352
2012-01-0421.37000120.75000021.04999921.1500007856700.016.179853
2012-01-0522.29000120.95999921.10000022.17000017880600.016.960161
2012-01-0623.03000122.24000022.26000022.92000018234500.017.533915
2012-01-0923.43000022.70000123.20000122.84000012084500.017.472712
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" + }, + "metadata": {}, + "execution_count": 8 + } + ], + "source": [ + "gm.head()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Partie 2: Visualisation des données\n", + "\n", + "**Il est temps de visualiser les données.**\n", + "\n", + "**Suivez et recréez les graphiques ci-dessous en suivant les instructions et les explications.**" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "____\n", + "\n", + "**Recréez ce tracé linéaire de tous les prix à l'ouverture des différentes actions! Astuce: Pour la légende, utilisez le paramètre label et plt.legend()**" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "" + ] + }, + "metadata": {}, + "execution_count": 9 + }, + { + "output_type": "display_data", + "data": { + "text/plain": "
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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ], + "source": [ + "tesla['Open'].plot(label='Tesla',figsize=(16,8),title='Open Price')\n", + "gm['Open'].plot(label='GM')\n", + "ford['Open'].plot(label='Ford')\n", + "plt.legend()" + ] + }, + { + "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" + }, + "metadata": { + "needs_background": "light" + } + } + ], + "source": [ + "tesla['Volume'].plot(label='Tesla',figsize=(16,8),title='Volume Traded')\n", + "gm['Volume'].plot(label='GM')\n", + "ford['Volume'].plot(label='Ford')\n", + "plt.legend()" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 13, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Intéressant, il semble que Ford ait eu un très gros pic fin 2013. Quelle était la date de ce volume d'échange maximum pour Ford ?**\n", + "\n", + "**Bonus: Que s'est-il passé ce jour-là?**" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Timestamp('2013-12-18 00:00:00')" + ] + }, + "execution_count": 14, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "'2013-05-14'" + ] + }, + "metadata": {}, + "execution_count": 11 + } + ], + "source": [ + "tesla[\"Volume\"].idxmax()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "____" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "*La visualisation du prix à l'ouverture des séries temporelles donne l'impression que Tesla a toujours eu beaucoup plus de valeur en tant qu'entreprise que GM et Ford. Mais pour vraiment comprendre cela, il faudrait regarder la capitalisation boursière totale de la société, et pas seulement le cours de l'action. Malheureusement, nos données actuelles n'ont pas cette information du nombre total d'unités d'actions présentes. Mais ce que nous pouvons faire comme simple calcul pour essayer de représenter l'argent total échangé serait de multiplier la colonne 'Volume' par le cours de l'action. Rappelez-vous que ce n'est pas encore la capitalisation boursière réelle, c'est juste une représentation visuelle de la quantité totale d'argent échangé en utilisant la série temporelle. (par exemple 100 unités d'actions à 10 dollars chacune contre 100 000 unités d'actions à 1 dollars chacune)*" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Créez une nouvelle colonne pour chaque dataframe appelée \"Total Traded\" qui est le prix d'ouverture multiplié par le volume négocié.**" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [], + "source": [ + "tesla['Total Traded'] = tesla['Open']*tesla['Volume']\n", + "ford['Total Traded'] = ford['Open']*ford['Volume']\n", + "gm['Total Traded'] = gm['Open']*gm['Volume']" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Tracez ce total négocié (Total Traded) par rapport à l'index de temps.**" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "" + ] + }, + "metadata": {}, + "execution_count": 13 + }, + { + "output_type": "display_data", + "data": { + "text/plain": "
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hHEwp5RyAtT1uCyGEkCWCCo2lg0kIIWQp0o/pPoaBTlJd2p2mhBBCCGmJehxRXxJCCFlqTE1NYceOHUu+zoCUEjt27MDU1FRb67U7TQkhhBBSGE5TQgghZKlx2GGHYdOmTdi2bdugm9JzpqamcNhhh7W1DgUmIYSQ8kmmKaHAJIQQsrSoVqt40IMeNOhmDC0MkSWEENIzqC8JIYSQ8YICkxBCSOlIsMgPIYQQMo5QYBJCCOkZFJiEEELIeEGBSQghpHRkkoM52HYQQgghpL9QYBJCCOkZIRUmIYQQMlZQYBJCCCkdySqyhBBCyFhCgUkIIaRn0MAkhBBCxgsKTEIIIaWjdCUdTEIIIWS8oMAkhBDSM5iDSQghhIwXFJiEEEJKR0o1D+aAG0IIIYSQvkKBSQghpHRk8i8VJiGEEDJOUGASQgjpGWE46BYQQgghpJ9QYBJCCCkdTlNCCCGEjCcUmIQQQnoGBSYhhBAyXlBgEkII6QEs8kMIIYSMIxSYhBBCCCGEEEJKgQKTEEJI6TAylhBCCBlPKDAJIYQQQgghhJQCBSYhhJDSoYFJCCGEjCcUmIQQQgghhBBCSoECkxBCSOkwB5MQQggZTygwCSGElI5kkCwhhBAyllBgEkIIIYQQQggpBQpMQgghpcMQWUIIIWQ8ocAkhBBCCCGEEFIKFJiEEEJKhwYmIYQQMp5QYBJCCCGEEEIIKQUKTEIIIaUjmYRJCCGEjCUUmIQQQgghhBBCSoECkxBCCCGEEEJIKVBgEkIIIYQQQggpBQpMQgghpcMUTEIIIWQ8ocAkhBBCCCGEEFIKFJiEEEJKR3ImTEIIIWQsocAkhBBSOgyRJYQQQsYTCkxCCCE9hXNiEkIIIeMDBSYhhJDS0TVlSH1JCCGEjA0UmIQQQnpKSAeTEEIIGRsoMAkhhJSOLikpMAkhhJDxgQKTEEJIT6G+JIQQQsYHCkxCCCGloxf2oYNJCCGEjA+FBKYQYo0Q4idCiFuEEDcLIZ7c64YRQghZGrDIDyGEEDI+VAoudzKAM6WUrxBCTABY1sM2EUIIGXGYg0kIIYSMJy0FphBiFYBnAHgTAEgpawBqvW0WIYSQpQL1JSGEEDI+FAmRPQrANgBfF0JcI4T4qhBieY/bRQghZJTRRKWkwiSEEELGhiICswLgcQC+IKV8LIBZACfaCwkh3iqEuFIIceW2bdtKbiYhhJBRQkIv8jPAhhBCCCGkrxQRmJsAbJJSXh7//RNEgtNASvllKeUJUsoT1q1bV2YbCSGEjDDMwSSEEELGh5YCU0q5GcBGIcTD47eeC+CmnraKEELISKNrSgpMQgghZHwoWkX27QC+G1eQvQvAm3vXJEIIIUsJ6ktCCCFkfCgkMKWU1wI4obdNIYQQslTgNCWEEELIeFIkB5MQQgjpGBb5IYQQQsYHCkxCCCGlY+RgUmESQgghYwMFJiGEEEIIIYSQUqDAJIQQUjrmPJh0MAkhhJBxgQKTEEJIT2GELCGEEDI+UGASQggpHc6DSQghhIwnFJiEEEJ6iqTAJIQQQsYGCkxCCCGlY86DObBmEEIIIaTPUGASQggpH8kiP4QQQsg4QoFJCCGkp4ThoFtACCGEkH5BgUkIIaR0pPGaDiYhhBAyLlBgEkII6SmMkCWEEELGBwpMQgghpcNpSgghhJDxhAKTEEJIT2EVWUIIIWR8oMAkhBBSOpJVZAkhhJCxhAKTEEJIT5EUmIQQQsjYQIFJCCGkdHRJyRBZQgghZHygwCSEENJTQipMQgghZGygwCSEEFI6ZhXZwbWDEEIIIf2FApMQQkhPkaDCJIQQQsYFCkxCCCGlo0tK1vghhBBCxgcKTEIIIaXDaUoIIYSQ8YQCkxBCSE9hDiYhhBAyPlBgEkII6Sl0MAkhhJDxgQKTEEJIT5EUmIQQQsjYQIFJCCGkdIxpSsLBtYMQQggh/YUCkxBCSE9hiCwhhBAyPlBgEkIIKR197kvKS0IIIWR8oMAkhBDSU5iDSQghhIwPFJiEEEJKx8jBpL4khBBCxgYKTEIIIT2FOZiEEELI+ECBSQghpHR0SUkHkxBCCBkfKDAJIYSUjm5aMgeTEEIIGR8oMAkhhPQUhsgSQggh4wMFJiGEkNLRpykJwwE2hBBCCCF9hQKTEEJIT6GDSQghhIwPFJiEEEJKx8jBHFwzCCGEENJnKDAJIYT0FBb5IYQQQsYHCkxCCCE9hdOUEEIIIeMDBSYhhJCewhxMQgghZHygwCSEEFI6elgsHUxCCCFkfKDAJIQQ0lOYg0kIIYSMDxSYhBBCSkfXlCEtTEIIIWRsoMAkhBDSU6gvCSGEkPGhUmQhIcQGAHsBBAAaUsoTetkoQggho43MeU0IIYSQpU0hgRnzbCnl9p61hBBCyJJBD5FlDiYhhBAyPjBElhBCSE/hNCWEEELI+FBUYEoAZwkhrhJCvNW1gBDirUKIK4UQV27btq28FhJCCBk5JDhNCSGEEDKOFBWYT5VSPg7ACwH8gxDiGfYCUsovSylPkFKesG7dulIbSQghZHShg0kIIYSMD4UEppTyvvjfrQBOA/CEXjaKEELIaGPmYA6uHYQQQgjpLy0FphBiuRBipXoN4PkAbuh1wwghhCwNOA8mIYQQMj4UqSJ7EIDThBBq+e9JKc/saasIIYSMNLqkpL4khBBCxoeWAlNKeReAx/ShLYQQQpYgzMEkhBBCxgdOU0IIIaR8NFFJeUkIIYSMD0VCZAkhhJC2EQIQACQdTEIIIWRsoINJCCGkdJSk9IRgiCwhhBAyRlBgEkLIkHL+rVuxde/CoJvREVJG7mUkMAfdGkIIIYT0CwpMQggZQqSUeNPXf49XfemyQTelY4QQEIJFfgghhJBxggKTEEKGkCC2/dZvnx1wSzpDxkGynhCgviSEEELGBwpMQggZQhqxwIymIB5NohBZIGSMLCGEEDI2UGASQsgQohxMb0QVpnItBXMwCSFkyfK727bh+k17Bt0MMmRwmhJCCBlCGonAHHBDukCI6D/JmTAJIWRJ8sZTrgAAbPjwiwfcEjJM0MEkhJAhJEhCZEdTYerTlDAHkxBCCBkfKDAJIWQIaYQhgBF3MCHgiVQsE0IIIWTpQ4FJCCFDyFLJwYzmwaTAJIQQQsYFCkxCCBlCGsFoC0wAgAA8jwKTEEIIGScoMAkhZAgJRnyaElXYxxeCIbKEEELIGEGBSQghQ0hjxENkgWgeTN8TCMJBt4QQQggh/YICkxBChpCRL/KjcjA9MESWEEIIGSMoMAkhZAhROZj+iCpMiSi8lyGyhBBCyHhBgUkIIUPIqFeRBeJpSjyBgA4mIYQQMjZQYBJCyBAy6jmYUqZFfkI6mIQQQsjYQIFJCCFDSOpgDrghXSCEKvJDgdlL3vqtK/G+X9446GYQQgghACgwCSFkKFFFfsTIOpjRv57gPJi95qybtuDrF28YdDMIIYQQABSYhBAylCQO5gjfpdNpSigwCSGEkHFhhLsuhBCydBn5HMz436jIz0CbQgghhJA+QoFJCCFDSBCMtsAEovBeX4BFfgghhJAxggKTEEKGEOVgjqq+VGmXDJElhBBCxgsKTEIIGUKWxjyYUfs5DyYhhBAyPlBgEkLIEKKqyI7qNCUyzsL0Pc6DSQghhIwTFJiEEDKENEY8B1NKAGoeTDqYhBBCyNhAgUkIIUNIkORgjqbAVHiCDiYhhBAyTlBgEkLIEKKK/PgjfJdO5sGkg0kIIYSMDSPcdSGEkKVLkORgjq6DKYSIivyEg24JIYQQQvoFBSYhhAwhjREPkZUydWAZIksIIYSMDxSYhBAyhKTTlAy4IV0gWOSHEEIIGTsoMAkhZAhpjPg8mEpSssgPIYQQMl5QYBJCyBCyJBxM0MEkhBBCxg0KTELIWHLF+p0484b7B92MXNQ8mKObgxn96wuRiGVCCCGELH0qg24AIYQMgr/40qUAgA0ffvGAW+JGVZEdZYQQ8DyGyBJCCCHjBB1MQgjpETffP4NPnn1bR+uqHEw5ouGlMs7C9AVDZAkhhJBxggKTEEJ6xEs/exFO/u3taHQwEaQSmKNs/gkAnsd5MAkhhJBxggKTEEJ6RD3Oo+xEI6oczHBE3b8kB9Mb3WMghBBCSPtQYBJCSI/pRGCpHMxRdTAl4nkwWeSHEEIIGSsoMAkhS4aNO+dww717Bt2MDJ0YeKOegxnBIj+EEELIuEGBSQhZMnzqnNvxrz/6w6CbkaEzB3OJhMiyyA8hhBAyVhQWmEIIXwhxjRDiV71sECGEdMpiI8BCIxh0MzJ0YuAlRX5GuECOEIDvMUSWEEIIGSfacTD/CcDNvWoIIYR0iwSGUsx042AO39EUJWq554mRdWEJIYQQ0j6FBKYQ4jAALwbw1d42hxBCOkdK2VG+Y6+RHbiQSpSNcg6mAIv8EEIIIeNGUQfzUwD+A8AIB2sRQpY6UpaXs3jr5r3YOVsrZVudtElpslF1/1SzIwdztIUyIYQQQorTUmAKIV4CYKuU8qoWy71VCHGlEOLKbdu2ldZAQggpipTlhci+4FMX4IUnX1DKtjoRiUqQjbL5p6YpAUb7OAghhBBSnCIO5lMBvFQIsQHADwA8RwjxHXshKeWXpZQnSClPWLduXcnNJISQ1kjIUoXMlpnFjtfVp+bopE1yiTiYfvyUYZgsIYQQMh60FJhSyv+UUh4mpTwSwKsBnCul/Muet4wQQtpEDlEo5lw9rWbbSZvSHMzSmtR3RDwPJjC6QpkQQggh7cF5MAkhSwYJDM2ci3OLjeT1WDqYcRVZFSJLB5MQQrrjvt3zuPn+mUE3g5CWVNpZWEp5PoDze9ISQgjpEinN0NRBslBPa6LJDiYbCZMczOE4nk5Q82ACwyP8CSFkVHnKh88FAGz48IsH3BJCmkMHkxCyhBieaUp0YdiJ5k2qyPa5dncQSpx3y9auQ42TKrKqyM+QCH9CCCGE9BYKTELIkiGUw+OUGQKzI3E1mHkwv37xerz5G7/HmTds7mj9rXsXcOSJp+PC27dH82B6DJElhBBCxgkKTELIkkFKOTQhpXorOmlSOg9mKc0pzP17FgAAm3bNd7T+NffsBgBsnlmAEGmRn2ER/oQQQgjpLRSYhJAlg8TwzLeo66lORO+gcjCr8bwitaCz2FzbqUzmwexzqC8hhBBCBgMFJiFkyTBMRX6kkYPZfpvkgBzMiUr0WKh3KDAbtsBU82DSwSSEEELGAgpMQsiSIXIwh0PI6K3orMjPYHIwJ/zIcexUYAaWVckiP4QQUi7DMt8zIXlQYBJClgxRDuagWxGhP/876QwMah7MigqRbXToYAZpe41pSobliyGEkBFnWO6nFLokDwpMQsiSo1u3rIyHZrfTlKi5M/vdj1A5mPWgsx1ncjBZ5IcQQkql0/tz2fC2TvKgwCSELBnKKoxTxkOz6yI/YefrdkOZOZhCMESWEELKpj4kVdN4Vyd5UGASQpYMZRXGKeOhKaE7mJ1Xke33CLHKwew0RJYOJiGE9JZ6h/fnsmGILMmDApMQsmQoK2+xDNfQzMHsYP0S29IOaYhsCQ4mROJgDkvOECGEjDrDEiJLSB4UmISQJUOatzj6IbKypHDfduk+B9MUpsrBHJKILkIIGXk6HQAsG8pckgcFJiFkyVBWiGwpDqb26O1kc2FJx9IptQ47MPVMFdno9SBCZKWUuPTOHQzjIqQF+xYbuGvbvkE3gxRkaAQmb60kBwpMQsiSoayw0mFyMPstjtTeysjBFMBAQ2S/dendeM1XLsNvbtzS930TMkr85Vcvx3M+/rtBN4MUpDEkKQeSHibJgQKTELJ0UK5ft9OUlPDQ7HaakkE5mErQdjpCbgtJFXLbGMCI+/rtswCA+/fM933fhIwS127cPegmkDbodACwbOhgkjwoMAkhS4ay5o4sQ9Tpm+jEhRxUDqaiDIEphOg6p7MbGBpbDrvnaviXH12L2cXGoJtCCMHwhMgSkgcFJiFkyZC6ft2GyJZbRbYTwapWkbK/QkntqtahILRDt6rxtCeDnLdNDGzPS4NrNu7GqVffi1s2zwy6KYQQDE+ILCF5UGASQpYMievX5cO3FAfTCJHtfB7MaFvdt6coygXuPAczXU9Aq0o7gJAudsHKIc0HHnBDCBlz4qLcQzQP5qBbQIaVyqAbQAghZZEW+elyO6VUkU3pSGBq/Yd+PsOlBNZgL/arz3W0vj2yPlEZXIisQgh6mN2grkX2JQkZLBXPQy0IO67yXTYs8kPyoINJCFkypNOUDFcV2U62161A1Zmtz+JDl38I843WxW6kBC6dfDu+t+8tHe2roQtJoc+rOQAHk32fUghKigwghHSHmle4McABOx3eY0keFJiEkJ6xa7aGH1+5sW/7U8+6bqfEKKOwTthliGy3IbY6X7v+a/j+Ld/HD275Qev9ApgWtY73ZTuYlbhDNMgRdxqY3ZGEyA64HaT3sDDWcKPup8NS5IdXC8mDIbKEkJ7xjh9cgwtv347jj9gPR61b0fsdlpQrVsZDs9siP2XmYDZkI95m605Jtx3M0JoHMw2RHUQOJrs/ZaC+UmqPpY+UHJAZZnx/8AN2OhyQIHnQwSSE9IwtMwsA+vcwTHMwB+9g6uKmMwez3PYAxQRXt3vKVpFV82AOMAdzYHvuPf3o4KmIAHYmlz6DmhaJFKMybCGyg24AGVooMAkhPUf0qYuv+kZBl52k8nMwu6si223qW1vnv8t9GVVkhUinKWEOZk/oxzGGDJEdG/gdDzf+kIXIEpIHBSYhpGf0u4OfdITb2LFr2bIFZidTQPbCwSxCt/vKczAHEdKVtIQxf12hLolxEOzjDr/j4abixSkHQ1Jwi9cLyYMCkxCyZEiryLa/js5QhMjqrwtosz1zdXztovVdhzF2e+SBlYOZzoPZ/56IOhVLWV7246yq75Thk0sffsfDTUVFhAzJPJi0vEkeFJiEkCVDJ1VkXUuWXeSnk+21W4X2xFOvwwd+dRN+v2FX5rN2QmS77V/q810KEYV0eWKwIV1L2cDsR14kQ2RJv/jnH1yD39y4edDNGFqGLUSWhdRIHhSYhJCe068OvupstxJkeqfc1UEvY76/sMU+2lm/iMDcM18HANSajGwXaUe3HYbAEQ9c9b0BdYiWfuenH0eYhsgu/fM57gz6K/7Ztffhb7991WAbMcQkRX4YIkuGHApMQkjPGNSzp9VDr5W7WEoOpva6k75Au9OcKBHvEoiiDYXf7bHrxQ2Vczrhe4az2W/6VWRqEPSjg6eKZrEzufShIzXcePG9vNlAYj/h1ULyoMAkhPQM5Xj0q3ufVJFtochazTFZSieryyI97VahVSJq0HOANhxOZbUyGAdzHASRfq32ymFMQ2TH4ISOOUNijJEWtJMGQsggoMAkhPScvoXIoliIrP5sdnWay3h2dzvNSLvrpw5ml3QpUnQhqdpU9QVzMHuEORDRm32o628cBPu4wzDo4aasqbjKgtcLyYMCkxDSM/r96FEd4VaCrKWDWUYV2TYdSNf6Shi144AOuoqsKxS26nuDmaZkzPo+vTrcNLe5RzsgQwO/4uFGDYgOi4M5HK0gwwgFJiGkD/THQipe5Mf9WlHGs9vMweysyI8q6FBkfZVn2WzJIiGOXedgOk7e4HMwx4NeuQnqO6VbsfQpMiUSGRzq9jo0ArPLgVSydKHAJIT0gf48eNReWlWBNRxMR9vKeFAaIa4ddNpCmRZ0KNKcZiKqvWlKuq0im12/4ouBzNs2DjmD7RaD6oQkRLY3mydDxDj8ZkYZ9VwZGoFp5IAPsCFk6KDAJIT0nL49eMoKkS2jKV0W+QHaczC11Zq0qYCDWXxPTvS2Kld1cNOUqHYMbNc9x+jg9UgcqOuGDsXSh1/xkJM844bki+r6OUeWKhSYhJDeUVDwlby7lh1hs8iP63Pdfey08d2N7IYynVS722lK2qHrKrSO9au+h/oARtzHob/TjyI/aYhsb7ZPhgeKhOFGfT/DMg+mzvC1iAwSCkxCSM/pV9iVEpatKuxJw8F0hcimrzut1tetgxlKiYlKdIsu4v6VZdJ1+03p50u1acL3BhIim7Zj6VqY+vfV8yqyvdk8GSIG+R3TIW9N0TSQftGP+w8ZTSgwCSE9I30Y9nl/LUNks+uYn6fvdprrEkr366JICey/fAIAsHO21tZ6uZ8VKvLTXS/BJaarlcFMUzIO/R1jsKRHR5zMgzkOJ3TMGeR3zOurNUOXg2k8S4ejTWQ4oMAkhPSc/jmY0b+t58FskYNZQtihfsydOpjrVk4CAHbsay0wRZOCQKKPSYj6/tN5MAebg7nUDMytexewceccgM4chEYQYt9io/D+lFvC8MmlzyBFAq+u1gzdPJgs8kNyoMAkhPQM2WfnQ3WA26ki6+rVlB0i2+k8mAesiAXm7GLL5ZWG6vZUd/tdmUV+on8rnofaAKYpWaodnid88Ld4+kfPA9BZKPY/fO9qPPq/f1N4fwyRHR8G62DyCmtFIjCH0MEkRIcCkxDSc/r1EEodzFYL6i+zC5cTIquHLraPlBL7LZuAEKaD+covXoITf3pdZvmyTMpuHQznPJgDC5Edr95P0aP9zY1b2tpuGiI7XudzHBmowBzcrkeGpM7AsAhM/fVwNIkMCRSYhJCe0+/QutYhsu7XCv2tMoopdLKNUAITFQ9rpquGg/n7Dbvwg99vzF2vmQgoIri6PVwjRBbpNCWNQYTISuvfpUgX4dxFr0vmYI4PAw2R5fXVEvWTHcZw9WFsExkcFJiEkJ7Tr8eOElfthMi6BJkxTUkpVWTbXz+UEgLA2hWThXIwVZCsa1ftVFHtNrTXdb4qnof6IEJkk3+XbsdHmnZ8W9QKiv5EYC7h80giBmmM8fpqjTpHQ+NgdhmpQ5YuFJiEkJ6hHjj9GtlM99d8uVbhq/pDs9MczG5FqkRUnGf/5RPYUaCKbDIPZrcOpFGcqP313TmYYqAdoiHpi/WEbqbDKS4ws/siS5NBhkHz+mqN+i0Oj8DUXw9Hm8hw0FJgCiGmhBBXCCH+IIS4UQjxvn40jBCydOh/DmbzHbaqEmt02juM7Oy2Eq2UEp4AVk5WMFug4mfqUTbZWYF2dDt/p0uz+L4YyMTg/S4yNQhkzusiFJ2bNCmetYTPI4lYyr+VpcCwFfnRGb4WkUFSxMFcBPAcKeVjABwH4I+FEE/qaasIIUsCmTgf/XIwVUe4jRBZZ5Gf9HXHVWRz9leUUEYOoFfQ/WvmYHY6TUnYgbrWv2u118jBHNw0JUs59M4IUeuVgxmOTpGfS+7Yjp9dc++gm0E6gDl8rUmK/AzJqSpjSi+yNGkpMGXEvvjPavwfLyNCSGH6dcMoWgDB0GtOB1MLEy2himwnm4gcTAFfiEIdryJ5lkWEliFYOhCFrrb63oAczPjfIRzsLw1zIKPYOr4XXSu1wg5mdl/DyncuvxufOff2QTdjZBmkyKNAaU1yTxuSm1o3OeBkaVMoB1MI4QshrgWwFcDZUsrLe9oqQsiSIHEU+/QwTEJkW/SbW+VgmlVmO2x7l9uIHEwBv838RdeSnRb5CWX7AtNoa+ycDjoHs9ue60I9GMg0K0Uwp3QtdpztC8zRcTAbgaRQ6QJOUzLcqN9iY4ARIXks5UgR0j6FBKaUMpBSHgfgMABPEEI82l5GCPFWIcSVQogrt23bVnIzCSGjTP8eOyp8qFUOph5W2PzzToWR/rBtt2OulheIQmSLNKFIkZ9iLmdKZyGy2fd8zxtQDmb0b7e7fsR/nYk//fzF3Teo1xQ8zmosMBeLCswkRLajVvWVUEqGWnbBIM/cKAxgDBp1ii67ayd+fu3gQ8G7rZZOli5tVZGVUu4GcD6AP3Z89mUp5QlSyhPWrVtXTusIIUuCvlWRLZjzqT8IXaOu3eZP6m2x99fOulGIbDGRmwjMJl3EYiGy6eugA9fOqCIb/ztoB7OMjusN986U0JLy6aTqr3Iwi7qyoxQiG4SSHd0uGGiI7MD2PDro388//eDawTUkxsg24QAB0ShSRXadEGJN/HoawPMA3NLjdhFClgDJ86ZPz52iOXdhCwez2/xJe712O21qeU9EIrOsHMwiGM5rGLS9viNCNgnz7XcHZBxyMM0UqGIHWvGjR3+7IbKj4Aw2QslQvS4YaIgsv7bWDNk54jyYJI9KgWUOAfBNIYSPSJD+SEr5q942ixCylOhXBz+psNdih3rkp6vTbLh4JYTItrsJtbyqIttODmuzTlq7DmZH05Q41qnEjlkQSlT8coRwO3Rz+Q37qLzpIBRbJ8nBLOxgjliI7PClp40QTMIcZoZtkKeT+w8ZD1oKTCnldQAe24e2EEKWGEnIap96Dolh2s40JS0czI4Fpu4stZuDGR+JiKvIFpoqJQmRdX3URpEf7XXYgYPpmqbEj0VlI5So+G1vsmPSeTA7v/7mau2fg35iFvkpRrXdIj9he9sfJFGRn1Fo6XAy0FpcLa6wbXsXMVX1sHKq2qcWDR/DdmV3UmSMjAdt5WASQkgn9Ku/V7SoS6v2lDG3V6tCQkX27wkRz4PZeh0l5pp1rgt1vLuYVxFwn3vdwRwE3Vx/s4uN8hrSAwynvOD5VYK/eA5m90K9X0RFfgbditFlmENk3/LN3+OjZ97an8YMKcPmYFox+oQkUGASQnqO66G4a7aGxUa57pDaTyshY1Z4bf55IffQuY9su4qilhcC8L321u+2A2KEPHU5D6aIkzB9L3rU9LuSbJqD2fl+9w27wOzg0Crx91G0imyQCMz299VvAuZgdsUgz12r3+nOuRr2zNf71JrhZJh/g0PcNDIAKDAJIT3H9eB57AfOxt9866qe7KhVR6VVFVldVwUdJnSVU0UWUYhsoSqykZhzNreNtEej3W0eu5TuOQgH5mBK45+OmF0c8hBZ/XW7OZgFBWbR6szDAKvIdscwz4MZhsPo4PWXYTv8bnP2ydKFApMQ0nPyOqYX3FbunLlpDmbz5VrlYOpvLdY7E5jmPjpzMFWIbJHQR6Uhmz3kCxX5MYoTtXfsdjOTHExP5WD2t/qKOpYyHMwJf/gfl0WPs9JhkZ9REG6BZA5mNwx0mpIWu44qUfenLcPKsLnzLPJD8hj+JyYhZOTpXw5mMUHRqrS6vv5Ch2G83Yzs6h35wtOUiPx9tVXkR3d325wHM6+dSyEHc6o6nI/LTqYJUJV8i09T0t72B0kQjoYQHlYG62A233kgGf48bNd2J0XGyHgwnE9MQsiSQOY4H71yGNRWW+VNGiGyzmlKNIHZoYNp5mB2trInRDSHZKF5MDvcl4V5bto7dltA6vNgAlGFz35SRmjnbC0SmNMTfSx/2wadVCtWObGFi/yEKgdz+LuQQRgyVG9UaRV5EnIKmmH7DZr1DIarbWSwUGASQnqO/eDp1ShsKiiaL6eHnLoW1dfvtBCRfsydFvnxROxgFqkiq3Iwuy7yo7W7zS8qb9fKMRtFB1OFyC6bKDJtdO9p9p0UPb2VdqcpGbUiPyPQzmFloCGyLT4PpBz7wQP7N97uPbpsyqi4PgrccO8evPDkC4e+qvgwQYFJCOkZ6nljPwN7lYuX5Ny1eOi2cjD1zzt2MONt+J5o+8GbVpEV8L1ilWzLcjCNqvNtzoNpd/5UaO7AqshK1a7Ot5GGyA6Hg2lfC+afxQ401pftC8wRCIKLivwMfzuHlWGepmTcCzi5nlX1cbd0+8QHT78ZN98/g2s37h50U0YGCkxCSB8wH4xOJ+vyLwF7t3S3l3izrQRZqzkq9Y70Qr1DBzPehl8wh9JcN6JZFdk8Ed3tPJhmaO9w5mDunK1hw/bZwst3I4zma9E5GJYcTPsctppyx4XaxGLBEFm12CjotiCnkjEpxiBPXavfaXTPG98v13Vd9zvtwGZcHExFGwXZx57heGISQpYkeQ5Sxsnafgdwxn8AP3pDT/ZnY05T0vzzMhzMzufBjKrIAllBmTmHqsiP4+DbK/KjCZY2R8czi9s5mCWNtj/34+fjWR87v+VyaRXZzvc1TG7YW791JR7xX2ca73UyHY4SqcWnKen+PPYLTmXRHUNdRVaOuYPpeG/gAtOoOr70v5ylf4TlQYFJCOk59nMnI4LCePLs+V3d7QcqV6xViGwLB1N7s9McTHWIkcBsb121exE7mEDWlc0U1IHKwWy/ra59R9vqTBinbYoo28HcNVdssvVkd110fHohrhbqAf75B9dg68xCW+uddVPW4ZfG62KNVMdUuMjPCIXINsJwLJyUXjHIc9dy/uIxHzxwHfugQ2RZRZbkQYFJCOk59oMxm4tXTuBJEiLbMgdTE5iOx6Le3CIO5vWb9mDnbM3cRrxdT0Qd+iNPPB3/7yfXtdyWvn9PczDtY8pzA53TlIg2HEx9W22qqrzOX+pg9jsHswwH09xWGfzyD/fhZ9fehw+feUtX27HbVLSJarCiqPsRJOegcNMGRjDmIqR7htvBHOev1nVdD9rB1BmHKrIMkS0OBSYhpOfYj51eVRNVW221+VZ5I8Y8mAVyMP/ksxfhJZ++0LkP3xNJJ+CHV25suS19/6qKrKudeVOCdPuMN85N20V+zL9VmypxkZ9+V5FN52/swsFMwmzLa7vaUjuhy87tyNb5xC7U2ETR70PtYxQ6kAEdzK4Y1nMnpRz7Ak6uQy8ahdAr6GCSPCgwCSE9Iy9kNb9j290jqmhHuHWIbPq6aIjsfXvMcEfVBt8T2D1fLKTTbp9AVEUWUKP3acNsN1BY63ZKN/Oa5e071pd9H21X7SnDwSy1H6eFQHdDKE3pXPS7V8sVqU6sLz8KfftxFyHdMsgcx2ZfWxpJ0J+2DCPDKDB1lvJ3MwrpAcMGBSYhpOe0ct+67mmr/eRt38Is8pNd1nQwuyvy4wmBbXsXAQATfrFbrp6DqRxMu0R/3jG63m6vyI/2ut0iPznTlBR1MGcW6oULzxRrT/RvNx0fmWyjTAdTDSB0Ryg7O7ZEeBdUE+p7G4UuVihHo53DyiBd6madeHUNjvPggev89DvtwMZs0xh8N4yRLQwFJiGkZ6RVXc0HT68eisWryLZwMON/p6t+x0V+1DYqXiow91teLbauJk59rYqs3u6Mg6mqyDoOKHGS2+wAtD9Nifv9olVkjz3pLLz121e2tc9mlBHameZxligwS3QwgebXsgvVWS9qKIc5v+NhpBGGA23nxXdsx8Pfcwb2tBm1MCwM8htu7mCOjoveK1z310E7mK3STcj4QoFJCOk5LR3MUvaRbrNVB7PlPJjxm8sm/I4dzCSPUheYyybaWleIVJxFJfrTxgaWOlBuoUtMtSOwupumxC1626kie/6t2zLvzSzUOxKJafXTzinqineyzW5zMIHOqv4mAzFt52C21bSBEIbZ3NR+8unf3o7FRoib7psZyP67ZaDTlDT5jA6m+5puJ+1ASokfXHEP9i02ymuT9nopTyEzxpddx1BgEkJ6hron252C3gjM9HXLcvctQ2Sjf6cn/EJFfpq1x/cEavEoc1GBqVrkCZGEyIahWUHRLk+vxJxrQLvo9C36vqPluwuRVXRTRfa2LXtx7Eln4bRr7m173aRT2sX1ptYts4NRpoPZSYCayr0s+jtMiyUNP8GAxXBSbGskzpaDATa72f1p0N/rMOD6ubYzt/Dl63fixFOvx0m/uLG0NhkDkqN6zbdBGYOC4wIFJiGk59iPndyHYjehjNrrVgJT71g3K/IzXe1CYMb/+pqKWDVdKbRunoOptzU/BzM/RLYIZshTuyG15t+Jg+mnIjl/v+7PTr/ufgDoyBEqQxjlDZJ0Q5KD2bXA7Oz7SkNk21t+2KvIqkqjwOCcrqQDOtynKpeBhsg2+SwZ6BnVE1sGzhDZ4udj30LkXO6yptTqBnNAsrTNkiUABSYhpOe0riJbRqigHiLbfFlzHsz8z6cnfCx2WnRGSgiRiiug+OinTASmgJfkVprtzguNcoqANh78egcu7LLIj6JSwMHM++yqu3cBAI5Yu6yttgDl5E+WUYnWJm1Od9e9fVxF27hUQ2TNyITBILTf6ygy0BDZJrtOBw761JghpNt5MNWAkppbuWyG/f7QDUv40HoGBSYhpGekFTjN97MCs/vbt+FgtqwiqzuYLscvYqqAg5nn6oQykg8TlfQ2W9QxSov8wAiRNXIwrWNsVuConSI/ZhXZNufBzEydErXdL1BFNu+z9dtnAXQWXltmFdme5GB22c+TYWdVHNt1MMuYT7Qf6JERA3MwRzxEdpAioUiI7FjnYDrea6fIj/rd+yVVbQes58WIXvPtUOKpW/JQYBJCeo792Ml01pOnVOcPqLZyMLVnsmtJ1dGJqsg2f4Dn6Q4JCSGEMTVJUcdILaZXkQ1C8/FthxmHTTpgbQlM/XVZIbIFHMy8jpKqxun6vOh8p2VUkS01PFQ51F1uJrTCpos2MZkHs81pSobdPTJ+1wNqa1psazD775bhDZGNlxnR81oGrnt7OwJT3X99v0yVpA/WlrhZMvJQYBJCeohb9GSFRhkOphba2WJzunPjeigqIVj1RYE5NdPP9TkcpYwcyMmK79xvkW0KWDmYWl8i42Am62a3l4ijArtvt4rs+u2zuG7TbqPdNqlIzt+eK9RLSplUPHTlGrUOhY6303yxQtsoNUQ2/reUIj/GwErx9dS/m/cs4O++cxXmavmVJUdligj991W20zVfC3DkiafjR7/f2HQ5MdopmIOdB7PJrtMiP6N6ZrvHdejtRHaEPXYwCdGhwCSE9Bz7IZRx8mT3w9NGR7vFQ9fspLgcv4iK57UlMOdrgfZ+5GboIbLt5sgJq4pss3kw03DkfAezyLyWpmBpvfyzP3Y+XvrZi+Pl3QfYaQ7mzHwqelwj9a2+mzJyMNW5Kzo4UGib6vvtOgfTHFgp2vlWpy0IJT58xs0444bNOPOGzbnLp+MTw92b1KfuKbvju31fNNXQp8+9velyQuRPFzQKDDREtsn1FY6Ii95LXNdURyGyJeZg6i0a5/BlkoUCkxDSM/JET0ZMlPBgaidENmgRSqeaV/FFgTk109ezmgskIQFh5mAWD5GNlvOazYOZcTDzxVQS5tlmDibanaYkZ3G/wDyYrsrC22cXk9eujlTr6Wi6d97CnGu4G6T2/Xa7HTMHqhjp9C3pe7qpsX3fInbPpZUmR2WKiF46mO0y5Kcql0EOIhQr8jOqZ7Z7XEfeSZGfUgWmdL9ecizlY+sRxWrmE0JIF9j3ZtVZSDq1bQoZ9z70zmXzZVtVkVUCoOq3djD1h6oRZigjAWEU+SlctTP6V68iG4TSOK48B7PZLorlYGrnpk27wO78KTenEhf5adYZcn22Y1+t6eetOjRJ3lbzxZpS5Ly2vc34X9FlqFqn4zSh1ll3rXLC/5yDiidwx4delCwXbX+4e1lmkZ/BtCHpuw/3qcplsEV+8j8blUGOXuKsIttGpe9ehMjqjMNXM87XX7vQwSSE9Bzbucs6mCUITG2TrcIZ9Qe1y1VUH1c80TLHxQyRNatYCghM+h1UkUXqcKkOq7TCIe18xmbhoCrUtYhAMEeky5mmRBWVaCawXQ7ljn2pg1lzhcj2schPqfNglrSpbJGf9hxy/fzZ4br6dZ9GInTY0D5hFvkZTGNTfTnkJyuHQYagFguRHc3zWgbq0A9YMZG81848mL2YpsTI2R+D72YcjrEsKDAJIT0nz8H0RHnD/UZkZyvhoXeeXZ/H61d8r60pT/TRZCkjh1Z3MNvNkctUkdVWtzsW6i/XLjqtIlskBzNZTwvhVV+r+naL5GC6xOcObULwTkJkyxBGat1eTFPSLfbxF91uMuWDdU3lLj8i+W+tinf1gzQHczD775bhL/LTp8YMIer3/i9/9HB8+fXHA+g0B7O8Nsmc10uNNAVlwA0ZISgwCSE9Q92L7ZtyEiKbLFiGg6m7ks2X1bWZW5BFVH2Rccmu37THrBarfWaH3mbmwWwzBxMiHW22czDtkNG02qnDke2wyE/LE6lRC8I0d9UaIS9SRdY1Eq+miJmqes4Q2aLivxvXoxcVVKUlxDvfjl3kp9h6SZEf3cGM29JoIuSH3ZXTi/wMbB7MZP8D2X3XDGuz1b1z2K/BXqIu6aov8OQHrwXQZg5mfA5VykKZbbJfL1XG+fprFwpMQkjPyRb5iTqxqYGZ+G+d70N73drZ0oWgQ7jI9EGsi8L122fxJ5+9CB88/aZ0fa0/3rA6uJ41D2bRvoBqnidEki8TZnIwi4fIqkMsFCLbQVVSAFiohWmOTywo1ferjqF5FVlXldjovemq7wyRLZprW0aRn14Ilm6ryEppHlvRNqrvKQizv7iZhex0JaMSImsW+Sl320WPPZmmZNhPVg6DbHez61fdHkZVuJeBnpuvBi5d98U8spFDJbRpbDzMiHG+/tqFApMQ0jNkTgc/nedRSzDsel/Z7edhOIkuPaacOGsezJ1xyOZ19+5x7isTotdhFVm9yqgZIpuunxci65wHs40QWX2RdnIwFxpBsm+7iITnRcWKmleRzX6m+k7TVd85Ul+0AFM3nYJkmpIyQ2STjmJ327GL9BRtYeLsOo5Jrx5rLz/sokn/jgbX1jhEdkB775ZBfsVFQmTHOgdTy81XA5c79tWSuYJb0YsQWf1CX8riK32WLOGDLBkKTEJIz7GFTSIW7CqyJRRjAYo4W3rb8rdV9UU012CzkXVdYFo7tkNkWz2cjjzxdPz1N36ftE8gnQczsAq62KGMsolokG0IBEOwtPF9zNeC5PgSB1P7vOJ5zR1Mp4BUIbK+M9eoZa5tCaGdvXDvAm0AoRuiIj/tiaooVzZtRxquGzVm93w9294kPHG4MQRmydtW11CrQQGvvDGzgTDIZjfbd/Ldjuh5LYPkuSBiF9P3cMrF63HsSb8ptH4vivzojOo13xbjcIwlQYFJCOkZea5aJgezjCI/bTiYRq6kY9E0lzC6RTZzr/KmDpFSwvNE2zmYv71lq9PBDEOz3fXcaUocArOdIj/6uQmDlssr5uupwKw4hsh9TzR3MB0CUp3PyRyB2ep0llEYpBdVZNNperqfpsQcEGi9jvE7CdMrQrVkz1wkMPU+aDoXaKct7Q/69VW201DUnRn9ENlB7rv1QN44O0jpcyG6yNSzpei1qXKUy5ympNMByVFlnK+/dqHAJIT0HPueHCSuiVqgjHkwte23Kv5iOB0uxy/6t6IV2Mnfr9apNTq4sYPpN3cw7909j29essFsXzJSLZJwplBaOZgZB9Nc19XGQkV+jHYUf5gu1LUQ2SQHM+3IVDyRuJT7Fht4yv/+FpfeuSP53BbMQPQ9qkq8riJALacpSYzxzjsFroI43VJWuK20XO28AYSNO+fwibNuhZTSOI5AWgoVwJ7YwVw5VTX2Awx/5yqwfn9lUvTYxYiHyA7yOy7iYC7lMMxW2MeuD14WQQ3Y+aVOU6K9Lm2rw8s4X3/tQoFJCOk5dqcldTDVcL8SPt2EMjZ3JY39awucecPmzOe2E9esmKoRtmoJVyEEJls4mG865Qr89y9uxHZtzke9yqjQQmSbVZFNRaRLMBc/r8aibVSR1R1MNUKud2N8XyQhr5v3zOO+PQu4a/u+5HNXhdkglKh4AhO+cDuYLXMwu++UqlWjgjrl9C6yDn5nRJtpfd2/7TtX4dPn3oE7t80a16D+Wo0FqBzMFZOVdLkk1Hi4MYr8lNwTLPrdC4bIdr7vJjvnPJiA+nYSB7PNZEpXIbXuW1T8ubsUGAeXtiwoMAkhfUeJo2wV2c5px3nT+57fvfwe3HjfHuNz9XE6f2P+gznM6dRKqUJcPeM9m22xsHSNBNtVZPVl6labioQx9tzBbDJCXvFEIsCVS6YLHKdDGUr4nkDV9zqaB7OMtK1W4dSdoI67Hkicds2mjh1N+/jzNjNfV6HO5jUUhciaK6nvoeoLYzlg+DuQQVj+d6Uo+hWpzv+oTmcw2A50/r45D6aZgwkAk9U2BWZQvkgvEkGxlKCDWZxK60UIIaQzkrBN667cm3kws9vPw27P7KKZayilhKfNQZlquex283Iwo5fCKAriCrNMxUZ6DlQHoFkV2YyDKc11zTaGcetbPx2NDmY7VWTrIarxiHrFN6cpAcwczJn5qOqhLipdRX4aoYQvBCq+h7laNh+06DQlXXWodEEmJbyufcf0Ovj+FffglIsD7J6r481PfVDb2wntENmWxymyIbKObdqkhY6Gu3dlFvkpt62FryGhli91931jsDmY+Z8lhaaG/BrsJerQO3Uw1ZQmbcxs0rpN+usl/NWkkSxL+CBLhg4mIaTn2LfktIqmyFmik30Udy9a5u7JKLy1SA6mmXdpPG4zFSddwletX2voAjP6V4j0HN22ZW/THEx1DptOU1Lg4Wh2GNoIka1lQ2R19CqyqYOZbt89D2bkYOaGyBZ1qru4vPKmoekGdR0oZ3HzzEJH27FTKHNbZ4nktB3p+ypc3TkIMiLuUU9zMAv+FNKgjCE/WRqt5gXuWzuafJYOFvWnLd2y2AiS+1xZpNN7RbSdgxmUL9LbSU1ZCozBIZYGBSYhpGfkFQdJOoIlFvnJ60S7aPW5Cm/1NPcw+rd5E3QXTm3D2K+rkE3clprDwYyK/EQb+dhZtxlCxC6Ko/5sloPZ/jyYrZdX7VtouEJkhbFc4mAuRB0v3fF1O5ghKr4XiVPH58VzMDvvFvQyRFZRb3S24ayD2Xx5IbIDIvY6rm2UMd1LJzSCEHO1YnP8Ab2uIltse0nO9KgoIVjTNg2w2c1+z4k4GpEu/qu/fBke876zSt2m+m6EVUW2KGqQrld5rKPy3XTDeOcAtwcFJiGkZ6RhJeb7SQ5msmD382DqfZPW1UVbO18Caf6j6iy6XLY8hyuUEgLCmj4lu6/A5WAqoaZVkQWAfQtpZztvHkyXKJQyiP9tLeQNQVXAtlEub+RgRu+1zMGMp8II9BBZp4MZbataycvBbN62RBh10Scwv79yHUxFkeIbru81lLaD4G6f1D43fidaXq8ynZN8S2s/+r/94q+/eSUe9d5ic/wB5u+vbAexzQjZkXHagN4MonTCUnIwr7lnd+nbTAceo7/bDdZniGznlFEwbtygwCSE9I74Zmx39jJVKUu4aRvThbQUHq23JUR2mhKXDrA77Mk2ZHZSdlv43rltX5KHqDuYaju+J7QwYnN9uyiO+supVTZfH3224w7HhyayzR6DyrtcbIRa9d28HMyoccrB1F1Yd5GfEL4QqPrCOD/p583bl05tUNLARUm9i3QezOhvl3hu1o70PVksRDbZb7rvqi/i9c3BHud+BlTk53e3bWtrebvIVpkUdzCzbRl2ejGI0m07bIJkDHJ0zmuvSAtJtUcvivwYES/lbXVo4fVXHApMQkjPCG0hGaOERnKvLmWaEv11MeGhsIVgFN4qkhDZ3XM17JyttXYwjSIj2RFmu9P53I//Lnlt5mBGy3nCFJjzWrig3ZamIbKNuFJtUMt8lllWz2UNs4V18gjCdBoVVw6mr82DqYr86DmYLvHWUFVk80JkC+ZgdtclKD5wUZRkPrr4PNUKhMi6zo89D2YQSmyZWcAfNu42lhPa58kggOcZ16P6ylz5loMKkW2XbJGt8ig+D2aEPZikBlWGEcPBHGA7ml1fo5IH3EvsHMx2r3E1kFVqDqZR+2DpfzljcIilQYFJCOkZeVNnqI5g2mnu/q6tb6GV09TqQRiGkYOpwlNf/OmL8LgPnN20wqa938jBFHjKg9cCAB5x8MqmobuLDV1sRf/6njDCTee1SqrZKrL5ITxJkZ/cvevbya7XDHVODIHpZefBrPhpDqYqfqELApeLF4QSFV+gWnEX+Wn1sG+E3XeozPy0cnoXStipAYx6ELaufJxz7ZnOvcSzP3Y+Xva5i83l4n/176jqRxVl1WbTf+3fZrEpcBQ/v/Ze3LF1X+sFe0BvczCLLafy4/T9X33PLhx70ln4zY3ZOXeHjsEqzFw4D2b6+0tmvmrzXNQTB7P8NgFL28FUxzbO11+7UGASQnqG6vxmivzYoTqlTFNS3L1olaMpEc9B6Zm3SJeLpu/XFJiRSD3ygOXY8OEX40lHrW0aNqeLx0ATap4uMOvpeXKFlNrtSY+nDYGp/1EgN1APQ1WLV7zso8XXqsgqN8fMwUxfb51ZwEfPvAX1IEzmwXSGyLYcKIj+7S4Hs3xXzG73mTdsxoPf9Wvcunlv7joNx87ttxqBdE7nou9XfV8TFc/4em0H3JXTW0Rg/9MPrsXzPvG7lsv1AmNO2kEV+VHLa1+OcpQvuWN7qW0qi16et3Zotuf0PtOftgwjevE3oH1BpwbpyqqGDbQXObQUGINDLI2WAlMIcbgQ4jwhxM1CiBuFEP/Uj4YRQkYf1Rn4/Pl34rK7diTvJzmNtsDsSgjor1u5QdbfmYqsEgLZUE/nNCN5DiayOYiqKMu9u+cz21moawIz7vn7njDaoC9jh8iqQ3Z1HpLTXGgeTP116+UNgalCe+Mni378Fa+5g6kXLfqbb1+Fz59/J266bwaVWGC6Suy36gxnrrMO6GUOpurwKfF8zT27Wq5jtk0av5m8YkGpKxkm32/F8yIHU98W0uMNknXMa7odfnbNvfjOZXe3uVbnNIwBnnK3re4RokVplWZVZIUjdHwYGBYXqmkOZgm/5VEnU3y9zVNRRkRHM8bhqxnn669dijiYDQD/KqV8JIAnAfgHIcSjetssQshSQH+QffTMW5LXmdHokm/aLcMNrc/t5aUEoIXIKnbOZXMY9QeO2cGVRv6kmqbju5ffg6d++Fxcv2mPsZ15Q2DG6wgB3Qw0BKblYDarspg6ydnPXEunx1DAwUyECAzxApidcd8TSQcnnaZEnwcz6/jM1wN4cZGfNH8o3XcYSnz+/Dtw57ZsSKbU3Lpuri593bKryOaFjrtwud92kZ9m60f71Yr8VIQzpNS+jvRNtquv//mH1+I9P7uhvZW6oLdFfoDDxDb8df17TTeeFPkxBmrKbUvZDE8V2QLX/5Cfy94SD+AlDmZ7J0NNh1R0TtfiLYpfj8F3Mw7HWBYtBaaU8n4p5dXx670AbgZwaK8bRggZXe7fM48Tf3qdEcZpuFV2DmYpIbLp63bnwbRdv1oQYsL3MiGyW2YWm27LfG3mIAoR7eeK9TsBICOK9BDZNEfPdFF1EWrnJNo5dMZn6sXWG4FLPpv53LWd6HXz7yXUprkIpTRCe20MB1NNU2I4mNl2z8w3UPFFNA9mKCPRqDVwrhbgo2feil9fd3+2bV0IIx39fD7xQ7/tfEMaeQMgza7bPGc6LwfYWC7+9/K7diS5vtX42j77pi3JtgAt182R89ap89HthPNF99twCOaykFLii9VP4o31HwHbb8tdLi3A0rnz2wlhKPGWb/6+ozBc87cyuB70UnQwy3QLEwdTqG23t3497EWIbH+v80Ez7IXOhom2cjCFEEcCeCyAyx2fvVUIcaUQ4spt29orLU4IWVp84Fc34Qe/32i8p1dJ1XPvwlCWIjDbGYW30/nsjnmtEWKi4mUczG17FwCYwlHfly6SJMyQOF+I2NXMthewHEw9B9OoIttEYObkuxqfAcBZ7858bi6r/9H8ROoderNCqXuakkYosXuuhpl4Pk99AKLuGFafrwfwPS+ZULweSFOUhmaIqdm29L3uivyU36HIE4IukZ20I9fBdIt01zF//Ozb8MFf3wwgnV5G31b0r/13fgdy4845fOPi9bltVty2JT+3tAhFBwjCHgrMUAKTiIVyk/tVUo23z8mC+2oNnHPzVrz121e1v7J0vuw7zb6zdMCjX60ph14U1EkczDa33YtpSkwHc8S+nDZIB1IH245RorDAFEKsAPBTAP8spZyxP5dSfllKeYKU8oR169aV2UZCyIgxYSszmCJAF0fRw677u7a+hZZFfGwHM0dgelbOlMvBNBwky+3JzgMp0wINVhONIj/aNBb6NuaNHExzA4kwcPR9pfVvM4wR6RaxVEFGYEavvRwHc2a+juPef7Z7/RxxFeVgptVW9c6Rmt5Dr8Cr0JveTb+nF32mvFDWdh3MsImDmbePm++PHt9qrlKF7kTr22pWRfe1X70MJ/3yplyH8oAVkwC6F5hFxZp+jsruCBrhyM1CZKGqyJa7/1akoqP9HRvX3SAdzCafpeHuo9XDL3OgwZ6mpN0t54Xmd0M7kUNLgTE4xNIoJDCFEFVE4vK7UspTe9skQsioMz3hZ97TReWi9jqQuoPZ+d1bdaw8Ubz4S/K3S2D6XqYa6tbYwdQx58HUXTPT6fSEMMJm7Rbq+ZX6dB9rlk3gs699bGaZzLQdlkAwPpLufbqQbXQ2zQ69TFwGFdZrC+yNu8ziRqddc2/igOUJIl+I5HtoWA5mUiTHITANB7OL66oXnaa8bTbrjObNA6q/axZNcm9Lfb95DqY9Ut8sMmD3bPPQ1xWT0X1gdrHRdLlWFP0OzGuobAdTQhbo2gtHhII65/2o8dOJnily1m7ZPOPMdS6VJm0PrOtyVCjVLYw3JTocTNALstksNgIceeLp+OqFd7XbquRVqxzwpcA4iOiyKFJFVgD4GoCbpZSf6H2TCCGjzlQ1KzB1EVDXXochShkWVFvwPdGyiIH9HMwIzCB2MK075Mx8tqNsCky9PdIMkbVcvVBKrJysJH/POwr4qHX+6FEHGctUfZGdBxOmQID1afr/FkjdXW7hYOqhzlKbB9PP9qR9TziF4Em/vAmAex5MtV41DpGtBaHx3SoR2crB7KaohX0+z7tlK770uzuTvz9x1q34v9/cgnbIDZFtVuQnbsjKyQpOfOEj4rZJa5ocvWhSXkXZ6N9qjoNpd0L1sNNdczV84qxb83M9rZOlnOzFehdfAIp36swQ2a52mUFKpAKzmYPZrIpsiwq03eAKaW53XcAdig0Af/ypC/Hcj/d2+pkiRX5GLQyzTAez2UBFsymwkrZY0Qk66tn2Re3e1i7NQvxHHXVko3b9DZIiDuZTAbwewHOEENfG/72ox+0ihIww0w6BaeTb2SGyZQjMeBORU9h8e2Fohq9mivyoHEzrSe4SSPqatoOpa8pM7qUE9ls+gRccHYvHWtbBVB10FXKslpnwPdTzQmSdOZjxv21aKEGQP6ciYIqYIEzbkORgah1q19yYOnnfWcUXqHruEFlVFdH1vRjhyl054+bfb/7G7/G/Z6SC8tPn3oHPnddepyy3yE+TTqJa5wMvfzSe+uAD4uXNZfIcTFcY92TF/I3aAsUVInvZXTvx6XPvwLm3bI22a7U7r/muAYB2KNpJN4r8lKwwTbe4PQezHyQCrIN1jaCFcprTEc1OmbpuR61/X2pBnfhfFQ59zKGr29pPKtIdnyURQO09I/Rt5Q0SLiVG7PIbKEWqyF4kpRRSymOllMfF//26H40jhIwmy1qEyNbyQmS7ehhH61a8AgJTSkM85obIWi7PYiMruEwHydyHLrCUWEzEHqJwz+WTFUxUPGuaktgJTEJNBSYrHhZiJ6ha8Yx5I/V2OKuN6kV+WqG5lvY+bAKrQ68E9gt2fhcbpl5rLGs7uPbfeSLCj+fBjNpjVpFV15Hre9HFb1dVZHvQpejGwfQ8YYgYfY1GTtVmY9+BEph2iKz5r52TqaMEvbrmvnv53VioB5llVXtcRZjaoagD3UsHM9peawczOW+OKVN6GSIbpjeWtjHyrgfYg24qMJuEdw4zZQ50JDmY8XX0gZc/OhmgLDII06wSr1q/bYGpvR6LENkxOMayaKuKLCGEFKF1iGx6kz7zhs2YWcjOL9ku6pnpe6Jl5zIIpSFw7IfzYuAu8uNyyvRVMzmYeg6iVdwnlNF+K57ApO8Z+ZWu6T4igZk6mNkQWfex6J8VezTqDmHz3Dld7AVSJi71i7Z+BQAgNElbsQSlPQiRp0F8YYfIZp1w5/eiv9VFn6AX/YmOpinR5kY15lrUHYScEFmj0my878lqXg6mOVDh7IyqZeO/P3bWbfjImbdkp/+J97VYb+6Et6KoqCjLtdb52kXrceJPryucg6k+K9O5KkJ3IbLZ7QyCZnse1Sqy5YbIRv+qW+lU1cfxR+xXeD/NRLq6l7qmmCrSJmCJC0w5mtffIKHAJISUju2OAPlFfv7jJ9fhK0neR+d3b3Xj9z3RMk8ilKbgcTmYkxUv87B15/qZIktht0BtSy+mEshI6NoOZugYTZ6s+skyExUvM62H2nXdkQeT5GdmPnGQk9Pnwr/7YqzDrqTN9nnUBaY6/oNXTeHEFz4CDz9opbFsXsfW99IQ2UYYGue4mUNmOpidX1e9yLnJEx9Ni/yEaQdQrxiqCyk9zDovHyovRFZaAiXNwXS1UzmY6Xvb99UyDlQ9cZi7DJEtKjAdrmG3qCmXpCxWRVadr353RJP7SgfrDktl1ma/NbtC96hQ5kBDeh/TImOEuje23o96rrgG89QgXbsuuzlNEkNkSQoFJiGkL+jPv7rV4dw7X4KDCeX6eS1Hc0PZ3MGsNQKng+l6iJsOptnB1de3pycJwsiN80QsMI1pSqJ/dRE8VfUwV0sFZsbBjDfsyoPR0j4LoHcYmjtPB5765/jl5HsAROfU7mD4WritCjc+fP9pvO2ZD86EH+d9ZxU/DZGtN6wqsmExB7ObTkEvhEJu+GqzEFnlYOoCE6bW2adVa23kiC21D3sqoTC5LtN1pJRuB1Mto2clOpZVbXB9P+1QNCzNCNmO23LmDZtxwW3dz80dShRyMJNwdP38x+/1sohss5DmVphT0aSvTz7ndtyyOTMrXc8o4mACo5WH2U2BMZtEXmoXknpGFPmNqN+jS6DXynAwl3CRH8UoDW4MGgpMQkjptHrW2SLIkbLZNmmIbOv9ZwSmXeQncOdgOvfbZKJ7M0TWXL4W5xO6HEzlEHlGiKzmYPqOHMykDa5CRHHHokDfQe+oNAoIg4NF5GAGMurA6NVJPaTHpM63Cp+2xXveSL/vpd9DLQjxhq9dkXzWrMhPrx3MbjoaeZ3BL11wF67btNv5WRo2bRaMMgTmQiow89xnJcLsEFl1PGZOsVtguoqFSJn93Q3SwVQv3/adq/CGU67IWaM45jyY+ceTCvVsm3uZg9nNHIf6d66+78VGgE+ecxte8YVLS2lfu+2wsadEGhVKdTCt3HwA8FV+ehEHs0kYtYp8sQvbtYMdVVOUU28/FV+9/qsd77cfqDM2StfeoKHAJISUTqubsB3SWKrALFBFNsrBTG9/doc/r4pssi/HfoFsiKw9D6S+fD0IEcQOZtW3BKYlgIEo7FgJqShE1nYw1XZdLmvcsSjioWid5yAsnjsXhhINK7fV186UqiKrQjPtDrj9HayIp3CpeCJx2xpBiLu2zybLNBMwzeZvbIe8VbvJN2rmVL4xRwzpRTiUGx65aimzNbeD6SK/yI8p0pwhso4TKuFwMINUrHRD0VNtRhCU2xE0HMwmHekkQqHPhXO6G0TRXqvtxYdYa4R9C31sXuQnfT1KeXBlFoVRv2njHttkWhwbtYzLaOw8RFZrX4cO5n9f8t84+eqTO1q331BfFocCk5Ah5/ebf49PX/3pQTejLVo6mJYgsOfk64QkRNYXzof6rZv3ai5N5AQp7M64EpheTriQWa3SdHyS9khpuHSeLTAbUYisHwuo+Zo55YctbvXCSS4HU7XDNf9hW2LICHlq0rG09hOEEo1AoqoJd8+RgzkVO2d5BWEUa5ZVo21YRX50mhX5Meck7ZxQSrgug25K8jfrDC6bqDjfT+YY9UTSHnsezH2LrXMwFfnTlJjvNas4aQ+02MZeUuSnXyGyPRR1YagV+ZH5glm/x9iIHlqYXQ2iyOxr/T6if387Z2tGKHaZNDsEY8BoyDPh7CiAslC/Az2yRoXIFnFKU5fb5WB2GiKbbmsp52CqszJKgxuDhgKTkCHnr37zV/jK9V8ZdDPaIs89UA/IWlylVTGp+roljMJHDqb52WV37cALPnUBvnPZ3QBU9dZ0/+5pSnwjB3LlZNrxN8O10vXsED39UW0XY6gHoREiu2CFyNrTRh60ajJ57c7BRLxdR+ch7iwWefzrnbcgaNKRDM3PAinRCEP4WufHVUVWCeWMg2l990pgVjyRrDtrdWzrBYv8dONmSemew9N1noviGgRQrJxyC8xAcy+8xME027Bvoa7to7nYsjuSLuctT2Dqc7nq69vLquuuX/NgunIwy8IIkW3i7KtljMGmUlvippvjdYk3vf369/e4D5yN53zs/I731YzmDmZ/HeFu0O8NZYbIJg6mHiKrBGaB+5ErSkGhBunanaZEx46qWUokzv6wX3xDBAUmIaR08m7CelGWKU1glhEiq/Ac82DetS0Kq7zp/pmkfbpmyAhMa5oSIYBlk2kjdXGX62CqFWNUpyBx3QKJMERa5EcTmLVGmHEwj1i7PHk9UfEyouqoxp342cR/oRLMwcblOOXhFZ0H0xKYKkRWF2N+EwfT7g/Z38F+yyai9bQiP7vn6sYyjaJFfrroE4QSGbEPdDda30wwrZhsITCFJjBD8zs1q8i21z57mhK1z2YOZthEjAZhmh/a0xzM+/8AXPp5o11Re7raZYZoe60dTHUO+p0z2M3xusLJG4bANI93697FznfWhGbOZC8HD8pGj27oxTyYRoisVmG7FWoZ16LqedL2PJg5A6yEUGAS0idedOqL8OJTXzzoZvQF9Zz51dufZr4fP9jqgTRDPtsMy3GhHnQVh8BUnT2hOT+Gg6l3BsNoPkd9mpLlExVjeWP7OQ9YaYVWqhBZJYZSBzMKedXXrQVhxmE6cu2y5PWyCR+LDXNOyAc17sJx3p04ONhinxqE7UxTUrTsvC0wZVRFVnd9K0YOZiww49BMu+MVSDP/Z/V06mAmAnPeFJhpDma2w69P69FtkR9Xp8t2MDfunMPWmYVC22zmfq4o4GCm82CaRX50IacEwut+/TrsXff+lm1K3A0r183VZ8yba1V/W+9k97SK7JeeAfzmPzPt6tS13rB9NllXb7cxD2YTB1M1wRDq8ffdyyqy3XTu9TWTeVB1gVkffA5mWTnV/aDRKwczSO8BCnv6q2ao37arTepabztEVp83eQmHyCrKHDBY6lBgNuHardfiF3f+YtDNIEuEjXs34p699wy6GX1BPewecuAK4/3EcQpCTE/oOYVFJjAvtk/f8zKdYtVp8rXiKPqDNLTEHRC5hEoUTU/4xvKNnNF0O4xLf1SrnE8lhlSRHz92MHUWG1mB+cD9UwdzeZynt6AJKz+u2LpM7oNN4mC6+g7b7wD2bNLarR1bs2lKMiGy0Xmp+CLpiB+6upp8rgS2OlZXkZ9VU+nyysGMiiBF6+6xBGYtriLbrMhPNC9q/mG0Qkp3593uTD39o+fhCR/6baFtNg+RrTrfV51CzxNWPq87lFF1Rq/bdh1kZUfLNrkqTIY5DmYy3YH2npT5uWfqmt+xb7Gj/L1Oivx00g+8ftMePOtj5+OUizcAMEOyzXkwW+dg6m3pxwT03YWBt3Iw+yQwm3w2Ug6m9vsu09ULtHuaopI4mK33o9ZvloPZzVjvUp6mRJ0y6sviUGA24fVnvB7vvujdg24GIQCAsElp/GFD3Yxt5ycMowduEMrEyQKAShlVZON/o2lKLHcsqcCZ/l3JEYxKYE5qRX6WT5j5mK6OrO+J5AF+zk1bcNEd242OmToX6j3lCnhalVRFPchWkT1sv+nk9fI4jHJOC4kUcad3WTib6UA0nYT9s8cDnzxae6Ngx9hyccK4yE/FE8kWjjogbbPaVMXPL/KjXEvAzMFMQ2TN+VKbFflRnZ1qtw4mZCGB2Q7NQ2TdPwZ9igLXNCWeMJ3cViFztikrE4GptVO6j12db1OYSGNdvbOprvXj/+ccPOv/zmvaLheFczCt9rTL3TujUPqr794FwKzKW6SKrNS+D7PqaVa8l41+iq66e2db6+rNUtvRoxe6rQJcvB3558eubjzMGCkUJT629SgGhXpGFRF3aWh79rNEYHYzD2aZBzukDHuBqWGCApOQESFoMmo+bISWoFMEUiYPMn0evmoJsWOJS+l5uW5K6vyYYY+fOud2/PzaewHAmApEOZ7TExVz3kzHaHrFE8n7//ebWwEAd+9I8yHV/tT2lftY8bIOZr0RZsT5Ms3xVXl6c4sBrt24Gzv2LSYO5irMZYRhe9OU6MKgjvf+/Ab3cpqD6Ym4imwYJgISAB60dip5rTqsVVWUwgpnzArMNnIwgzDTOVVio+J395gLpTukrBtXqlmIbF4f213kJx0OqPiesd123YR0hN68tl3tSQSmvr61ru7i6PnC2/eZgwRFKCTMwtAodFKGCJld1AtvNa8ie9aNm/Gg//w1btuyN1pEa7O6VnoZQaifoz9vc+5K/VypDvQgHMxm9HIKmrLRB5/KDJF1CUw18NnqN6JH6TQbNGp3Hkx9t90UPuuGu3fM4jc3bu7pPtTvYtgHN4YJCkxCRoRRcjDVTdgWSUEok87mcn06BnVsXTlNEX7i7mifKZdRzRkmpVHqHQA+e+4dADSB6XtJRdTlVoisq6JhVcujVAWB9MI9an11/Kogi+cQmK4cTD1nNXEw6w28/HMX46WfvRgiPoerxGxGXKhrp9jZTZcSAL516d3uxTSBWfW9qIpsoJzhqO2Hr0kr36oOqxJ8eserHkgEUhoFbvYzHEx3iKzq0EiZ7dwofVP1u3MwW4msTmjmyOUJ11Y5mFXremlXALsqTIZhTsVJh1KSVpEfdQ1OVDws1rsbHCvkYMqg68I69ip6OG8kMNXGs8dzZtzBvX1rFKKutyWZf7CHDo99vAvWOb9u024ceeLp2KDNI6vQXZnUgY1fiOHIwWxVFXmYMARmmSGyWhSDInEwW+yn0UKg1wJzELYo+pYGNU3J8z95Af7221f1dB9h0kUZ8otviKDAJGREaGfS+0GjOjv2YGgoZTIH5hMetH9m+W5IRKRjRFfPXwMiJyETvmsV9jAdTN8QpK7R9Iovkoe4chv15ZIQ2bizpsSnL1KHTlEPsg6mKTCj1ypE9t7d88mUIKswZ7hH9rlohf4A9ZpNbKIJzImKByllkoOpmj4hAOy4E/jE0Ziaj4oPKbGoj6g3wigfVT/HKhfRFyIRpbaDaRSSsTo3yt2sxI52x+Ss252DmX9e8zqkev6VQOrEK3FgO7WtwtXsc5I/D2Z23TREVtue9bfa//K4IFU3FHMwA+Oakuiicx9fhnNaiGw9CJs6mK7BNPt1mW6Wjf11377FzMX+4e83AgAuvH1b03XV7z8ZpJJZsVqERhBmBoRa0ex7zpt7eNjYuHMuN0e/W9R1pBecqzgiQly0CjFOpylpr03qepnwvb7kGrvoh8OeVtnu+a6WDBSYhAyAW3feim/d+K221hmlEFl1D7YnFtcdzINXT2krlPGAMMOHXB081QmU0szBjN6L/tWL/OhVZP2ceTPVy6rvJZ2gZRPZSqC2g6mEpu8JTDqK/NgOq7/jdhwp7k/aA5iOnh9fH6vEXCLi02OLxUObnYemi2sDHqoKbiOU8D0vXU+GwO+/BsxswiN3nAMgOk+ozeLk+f/E0WI9AKDeiNwv3bVdXvXwrsp3sXbhniRH1e6w6k6t7SiGmvAva45Ac9+dX7N5HbGj1i3PFZ/6NZzmYKafV/18gWNT8QRedMwhxnsy6UCZvxtnOJ3TwbQK28TfzfLJChYb2RDmdij0/ckg49LYTtJ1m3bjm5dsyN+E9bfu3NWD5lVk7d+K3uTUwWx6BF1hn6Nb41BdxaI2cNZsXfUqbx7MorzzR3/AY953Vu7nf/6FS/Dar1xmvNfsa9YDFIY1TPHG+/bg6R89D1+98K7kvV44mPq0Sfbz7l9/9Ad8/4psMcFWRZLUb6X9KrIRVV8MvMhPL6dJcaUQkOZQYBLSZ6SUeMUvX4H/u/L/2lpvlEJk7Sk6FEEoUW+kI55nvfMZyfLd7zP6V43uGu6KcjC1Ij/2g1S5C0aIbLzMskmryI8jFK/qpQ7mcsfEnmp1FS6ocjA9RxVZ1zyY+Nzjcf7kvwJIp7LYNZvms6kiPyudOZjFQ2SFdp2Jgg7mVNWPqsgGoRmqKYNk8CDQBB/uuRSPCW/GuyvfBRDl66mKuorVwQ68tXI6/vTGtyfiyS7yowsdW2AmRX58r6uyDBLAHz3qoKTokGvf5n5DnHLR+tzCKCrf1IWex2ujV8XVB0rs6z5tRxOB6Qs8/OCV+PqbH69tP/rXDv92htPlVO01QmRjW0yFPeshzP+dl9ebQyFhFjbiaX/SCAZ7qpSXfvZi/Pcvbmy5KXUV6r8jQ/g77sX2z9WsIqvmH+yhg2l9T7r7CpiRGTaukH/dAe+kyM8v/3BfvD33MV919y5ccqdZ3VhfMlOozHCnh7OTvyWepujsm9Kposr8zpN7qD7XsDAF5k+v3oT/PPX63HX1ZXU6DvlX9x/fG3iRn26nQ2qGK8KDNIcCk5A+Uw/bCxtSjJKDGUr33IGRgxkdR7Xi4WEHrcRR65aX4mAmeZ+uENl483rnMyMw4w0o4VDVQmSXTfiG+DGLiaQhimkOZtbB9CwHU4Wd+VoV2Soa+LfKDyHqc01zYVSnfZcWMpoU+RGzSWd4rtbASb+4MRGYhYr8WDmYuWgCc7ISubcqRBaG06PCA6O3qp4HzEVVLndiJYB0yhb9mKcnI0E3Xd+VfFeztQBCABef+JxkPYXdCdaLL3UzfhHGuaFf/MvjjfcbgXR2Hk+9+l68/1c34XPn3encXrMwMt/LDzNLrmGRV+THzsHM/01V4w6qPmjiqnQaaCGy+u/l/Fu3Oqcb0Zu+ELt/Klxc/36+eendbYVPFnIm4hDZpOhJaIraTjqfZk5p2MLBdA9YAel319MQWWvT9gCDOv5JR8nuhkO8detgurbdCtd0KQqXCO4F9SDEkSeejs+dd0fb66pplvT7ci+K/OhjSep33+o8hy3On7qXdupCVq0iY4OglwJTJv9SYRaFApOQPrMQpJOxt+NKjpKDGcpsThIQPWxriYMZfe4LoSUBdX7zTue6TPel7xeA0TG3BWYycp9Mb6FPU2JVkXU8oat+6j7ZBVeidkXvqYfwgjZNicrBfJV/Hv6x8nO8au77Tav5qU677uh5qsgP5pJ9fO3C9fjGJRvaG0XvIAfzwwvvx/X37sEV63eaTpruYMbxuRVfJPNu7pKxwFQhstoxT8cavRouQIhUhC+r+tg/rjDbLERWLyrU3RyBkTtlh1TXg9B5HehzPrpo6ix6Ao0gxM7ZWuY7S6Yp8QVEfIqjIj+pU2vsJ5S5x13Rf3tq+9L8FzBDZPXrf/u+Gt789SvM9klzf2oAZVVcGVivyAoAt9w/42ybi0LfnwzRCGVyHiSsqTaazemasx/DwQwlpJpI1pWDafWmzFDj3juY2babvwd1XdpTIgHu/DxdLHRTpKkdwSJzXgPuqJFeoHLjv3i+e4CoGXZKCNCbEFnDwYxft7q2WuWFqoHPdturBNeELwbuYBb5jXcKczDbhwKTkD6z2Eg7nu0U7hm1Ij8ufRSGadiaCtXyPQFZgnhW9331wNU3mU6bkjqYtmBQDxDVKVWd8L966oPw3EceZDhEroe1XkW27nhI2/tb0Ir8qHNRRSTaquFCQQczFZgyFnyrxFxyDDclnfjYnYI2l18u6Yl76oPXwhNR5/XUqzdh70IdF92+PTpO7Xp8QiOt4Gc4aWGYPJEbWigVdm0AAKjg1SREVjvm1RNmO1WY7ETFSzrzpoNpXkOJ2PdFV2FNUkbulP191AN3qKv6LvNG05t1wiq+wPZ9NTzuA2fjY2fdaq2nBlD0EFltXbuKbCDRCLMuY7Sf9LencOVgSk002gMev9+wy/hbSreDeeDKqJLwdktw37LZzBFsRiEXSDmYfvobzwuhbiVYRRJ2qOVgNsKmVWRtv98MkY1ez9UCfOWCu7qaQzWPjINpvZEX0g243UH9vXlHFdmigzZtiQ5tk7YIauXAlU0nu3AJtzLFcCN5jqXvqd9lOw6m6/ekfh/tFupJQvSXuoOpBuCs87Nhe++nSBlVKDAJ6SVBA7jrd8ZbuoPZkO4OoItRcjBlMwdThaDGnVxPiHKmKYlX9TV3R99vtK/477gYjdE2SxwqQfPeP3kUnvCg/Y3OuFHRMJkOw8OtW/biOR87P5MrCAAHrJw0/k6qyHqpKAmhRqNDOIyGBDVNya7ZNBSrVo9eP8a7Cw/6+rH4/R3348b7YoGpjBcgmyxmo523ihd1XK+/5nJ89sdn4PmfvAB/+bXL8cXf3Wk4mDoVT6T7kGmI7MMPXg0AeNQhq4DddwMAVoh5AJFQDGXk5n7/b56ET77qMVhWMa8FJYpeJi6Af/+1yXrJ8VsdaPX9T1a8rjr0Kp84I+BiUWyTCMzcHM3mDqYKHT3tmnuNz9JKyGlbovk/43UdDuZi4HZRlcOuDwaoVhkOphYiax+/TSQwsw7mgSujYl7b9pptuWOrWeW0GUWnKTEcTCmNc613fou6NOb6zavICgH8d+Wb+E71g9E+dLEU7+/MGzfjg7++GT++clOh/beDfUxBToisS0C48hsTYSjM6ZYURYVIKwfTEP6O6VIU/XIwu3nMuo61zLGEMB6E053StMhP80Ja+vlrFiLb7rlVS+sRPIOiHzmY9hG+8OQLez5FyqhCgVmAUerYkyHj/A8B33opcHc68fVCo7MQ2ZHKwQybFfkxBWbkYHb/YFKdk+SB6+iQqPekREbAZRxMS4DqHWyXg6mExV3bZ3H5XVGO4UGrUlF56JppY3tqihG9yI/aqpRhRgDrTMYVbnUHU2jXR2VhJ97x1bNxz845tcXo/yI69jOuvz9326YrFv177C9egHMn/w3374mu3Tu37msiMLV2h2mI7GMOX4Ob3//HeMiBK4B6JCwfsy5athG7gb4AnvzgtfjTxx6WcYnU9XJS8BlUvqZyMNPG2nP1qc7e6umqM1+wKCrc2w6prgehs5M94fvO9iTtstbRKwj7cYgsAOxbMNuchMiKqOpwxROYXWwk171dRbYRhPkCM4keSPetth9YgyfJ9Ch+C4EJs8iPEiUHxr+BrXsXjOVdoiWPYtOUNBBKmYjnUCJT5EfRShypI9XPRS1oPg+mAPDmym/wND8qIqTf0+z97VvsLA+/Gc3Ce4HU4XeJAJf40JdzTVNStDNvT5lks3chPRf6Idi5bv3KwewmzNN1nZYpuhpWITQgHSQKrJzjZu1whsiqAYg2XUi1qarvdT0PZqf9ALtCey9w5agD6X1sUHOADjMUmAUYpdBE0hmb9m7CX/zyL7BzYWe5G95+GwBA7kuryumdvrwQNhejNNCRm4MZSixaIbJR6GEJD+HEwYxdQN3BjB+aeifaFpB27lFmmhA7pDZMxSoATFXT7S3UAxy6ZhoX/Mezk/eWT1aMSqR6btukbzmYUqJZf94TAsuqvlXkx7w+fKHft9LR11ACf/fdq3O3rYcrV4T7ewmkzBWYhhCRQXqChMC0qq4b31PX+JHoeMlnLsoU+bG3bwsooJiDuWqqGgmxDjsvKtw7KzDdRX5UO3MdzDA0ltPnN636HubiDsteSxTr14sQAssnK9i32NCqyNoOq0QtyDrp+rJmkZ/oX/086ZVhm+UER+uZHf/UwYwE5lcvXG8s346rXKyKbBDPpZpWkc4r8tOqUm+yXF6RnzaryPbD2bF3Ye9TDXi4wiNd8/rqAnW+1rnAdLt66Xsz2kCKvqTdzNC6LntFOgjZ/j6c7nCJbXUVp/OSENmw6W9K183uaUqyA0xFSHIwK92HyHbax0kEZi8dzBZBVrOO38i4M9YC86wNZ+GYbx6DbXPZiYd1Rsk5Ip3xzRu/iZt33owz1p/Rk+3r15DuYLZzbbUTTjto8nIwdQdTFZvwBcop8hP/q3SI/iBQD95AG4W0c+rUgzUVALaDmQ1BjPYb/TutCYWFRogVk5VMxUbbxQSih2O1YrWlETSdj8wTAssmfaOQjC0wp6CLC3d4jwuhLWWLlpVxaG4okSswzWlKQm2vWfFYradhkvXAmppF336jFn8faduEyHeogPT7WTVdRSjTnMB2kYhy8lxFftwdSnd7AOBFJ1+Il332YgDp9a8PTPiecHbmo+1GG1bX7YpYYCoyIbJBkxBZPTzd2r5+SHrhnmY5wYAjRDY+/gNWRALzdisktp3OYLF5MEOtijGy05RoBUDyXBq7f653to0QWcegsz2g1kxg9kJv2ufIdg7TIi7Z827Mg2k7mNLtNhd1i1yCRXdEdQez2ffcLwezUwPzmnt24V9/9IfM+6U6mEFWYFaSEFnZ1H1MpzgRzmNcTEKoOzsBFa/7Ij+dCsxKHwSmK0cdSAeWZruIklmqjLXA/PFtPwYA3L7r9qbLjZJzRDqj4kUd5/Ld6nh0UbuG9E5fW1VkB1yhrR2kQ8ABqtOXjngCVpGfguejHoTYOmOG3KU5mFkHsxako/J75urYuncxW+RHCcwgfRDr5E1rovoPuhMVaB1dnQfkCEwVVqkcTAH3NC8K4QHrVk5i6958gTmNrHsVQrQu8qM9Pyue+TBdOaUEpswpdGKGXUYhsqmDabwPoNJIRce+xYZ5jnWBuTiDqi9QRbpPX4im01CEmsBU2+8EGQ+W2N9HI5DODnEy3Y2js3PT/TPJd6bCVPVBiIoncqeESCtIpgJzVnMwbYc3CPNDZNW1aeRgaoMv+uTtSkeo/T7i4JX49Gsem9lmFCKb/q0qj+q/C522BGaRTnpc5KeazIMrjQ6vql4N5HeilfhSX7WRg6m3wZWDaf2tXxq2yNBFVVlk3Ne8HMwWeYKqqYaD6RCYeSHgNi5XTReYM/Oag2kNbui0cuDKQl0b7e7h9V+7IlPICihXYLocTPV3FLHQrJBTOnDqOn/z9Ua8j/baZIbIdnesnZo5amCytzmY5r8KNbBMgZllrAWmmreq1bw2dDCXPp5QoqQ3NyjDwdSL/LQRIjtK12F+iGzqJJguSnsC8z2n3YAnfOi3htvzl1+7HIA5oqtIChiEEn/2hYu1/aaojr1a1nYw7Qe7epirh/W01ZG2HSUAOGL/ZZn3fEcOpkC2I6HjCYGDV5litbmDiWT7rbsAeois+YkSC0fvvQTYcoNz7ei0asVQku/UCp0F4GsO5lwtsEJktes9bGCq6hvH5AlhdF6/dekGXLkhDXFPHMxYFHfaAYgKVmUd7DwHUzkFrSanV7mXtoOZR1pBMhaYU3GIbPy53r6KJ1DPhMjqznS2iqzegUrmktRDZNWUPZMVrJlOQ7319Y0czPi36RpoAdrLlypURVYV+amkOZi6qNT3l9fpt0P8jHtIo8U8mPYAhKaI7OuknTlAi2KLhrZyMF1FfrTz5QyRLTglhOs3sqAJgRk9B1NbpnmRn0K77ohOx3HzwlPLzcEMM/cIlXawUA+ahsgmA0W+cApMVROgXRdSbWmi4rXMt21FxyGy8T1msY17SrukRX7Mc6eeid3k+S9VxltgtqqmGEMHc+nje9FNovQw1CQ/It2uPk3J0p0Hs1mRn+gGrRwX3xMQaQJYoe3/4g/3AXAXkFAixRUi2wgl7tw2CwBYsARALQjRCNLKoHkjxcnyDSUwo79tp2bC0bF+yIErnO21q8gKyKaFSASAQ1ZPme2DeTzTQhtNz8mldKJXkbW2qTqpr9r6CYSXfMa5utGhCrUQWWkKRgDwa3uhdyvNENm6sfy0JTAnq17SKQKAy9fvxCu+eCnmag2jHau7dDBDKeNpSsz364HMuETRfqNzVGsxmj+RCEzNwWxSOji0rssoBzPQ5sFM8yorcUVHfTBLHzjQl9WPU+1HDa6EMnU21X59ITKDL4A5pQmQ/r4qnmcMvjzr4evwuAeuacttKNRJj4v8VLQIBtPBbF3kR+1HOJZrhLJpFVmbZvMO7p7rXGDefP+M83zYt8JMDmb8fbjEuitENmm/cAvMPKfdxuVq6Q7mfbvn0w/0dljrmMfTewezXfKu0UKDI4X3kX0OqaiSmfm6ITBt1z+dtslz5jSr79h1TwOALTML+PAZt2QLPmmht3nrFqXTQfRehMgu1AN89MxbkvOiTuftW/bh/b+8KTm/0xSYuYy1wCzKKDlHvWbL7BZcfO/Fg25G6fgiDlHskYira9s9ff3pyet2QnJHS2C6B3D0uemMENnEwSz2gFIhW67QOX2aklt23oLbd91uOJjqYbQpqbCaMlcPklA423lx5eDpbU4K2CTLZ2+vDz0oKzCjDrtVuAEytwPnIYwczIzAzHcwVV5lWGxMLWFCmmHICwtRZ/BZD1yOt6/OulhAfF70aUrUVxRmBaaQgdHO3BDZoI6pqo9JkS6r5gK1USF3qkOlQmQ7djDhdjAbQejsPKoOda2Fg7lqKmqXfsx5c6UCWjVX5WBO+ti3UM84mL4nUPWiqVkMB1NoznRTB1NqlSnTsNdEYHoCE7a1DeVgpn/P18LkmK7+rz9K3n/l8Ydj+WSlLQez0G1BFfnRBphyq8jmdIRt4akLrygHU32QvZbs253a3033zeDC27cbn3XqYN62ZS9eePKF+MTZt2Y+a+VgqsGYVg6m6z1nDmZRgekQbPp1fcX6NOrAdDDzv4ueOphJrl176+UNWhQK7y5IEIaZYluTFR9TVQ8zC42m8wKH2kCUq4BRUg01p71P/+h5+OLv7sRZN20xvj+1dNX3cN+eBdyxtfj8tjbDVOTnG5dswOfPvxOnXLweQHo9Xr5+J065eD027or6DyoChSGyWSgw0TpEdpQ69r3mtae/Fm87522DbkbpKIHZuxzM9OZzwaYLktftOKajNNCh5g4EgM+99nH422ceBSDOE7GK/JjzYLb3W1MPQ70zpDrPjVDilb98Jf7sF3+WhMoFUiZ5kPc4BOZiPUxCw6qeO0RWhVzaDqYdIlutZG+vD1m3MvOe74kkXFKJRAGZ+7CsogEhgINXWQJTuAXmC7wrsDyeb1ICiQtTD0J3L0r7DqqhKTBRm01eXjBtzuuJJLROdzC1EFm9U679zj760ocmr42wZWt5O0R2eY7AnFUOpjQdTPV+u4ShhBAuBzNsWjCllcNz2H7RdbhXq6JpuxO6c6Q6qnqRn9nFVMBXNFeyWvFQa9g5mNpvRIsesD+3XUA797PipznD9nHrnWkloiYqnjH4UvUFJnyvfAdTRgIzdV+lmaOrF/lpmYMZ37fz5sF0rC/gHoB6zVcuyyw706HA3DoTfZ/X3LM785l9ivQQ1x9ccU9axMwhrl0VWnWh0dU0JU4HM1r3wJWTuGLDTq2Ait4mc51W02yURdlRlr12MIFosGpmvm6EhNuDAunv2J2D2WwAAki/73d8/xq84/vXJO+rTakBo1d9KXu9F6XzIj+e0cYymIsFY/qcN8+LelalIbKj0z/rF2MtMO0HQh6cpiRl6/zWQTehJyQCs2wRpzoqOTfOpR0iGx37i489BH989MHR+2Fa2VF3MJOnVJvHqDq0rtwTu3MIRA9PFVq6a66Otz7jKGOdxUaQFvnJcTBXx1ON6BNTP0jcjzdd80rsj5lk+aqjI7B6WRVvfPIRePNTj0ze87QiPxVEDzVPyNwcvknUUfGEESK7aqoCHyEWRfreVOz2fWniU8l7IQTUoMdiI7RcRfU6PW/V0MzjnAzngZwBOSWOo867HkqorDG3wHzo/noOIoxldnteFKQbNjA94WMSacc8z8FUI8lJkZ8pFSLb2W9bIvoZ6w7mZMXDQiN0dkZVx7xVZ+fQNVE+7m5tLlN7UEMPAQ+kNBzO5arIjzZNAKCup0jA6Q7mf73k4XjKg9dG+/EdDqZmyCc5mGHasVK/Z1fVYyCetkW7NLbFBU/scNqq72Gi0qbALNJJD0OjuJbtYOpCJwglfnXdfdhoDTKp704ky5nrNwuRtR1MtT9XZ353hwIzCQxwjQvZRX60L+PG+9L7Uqu5GpMqsnoOpqvIT8HvzyVYVAGoRz1gFXbP1ZNtGcfQTGD28FHYbSVUm7IdTFdO86rpKmYWzBBZfVDgM7+9HR/69c0AovuEq0lJiGyB39o5N2/JvHfpnTsAdJdf3Gn/S902y5wHU50jdd/LOyss8pPPWAtMRav5jkbJOeoXoyR2iqByMHv1XecNUoxLkR+9KqXqWBpFfjoUmKpDqHd2VMe2YXQOU4GpRhy/9sYT8K4XPdLY3mIjTDr1dsdYuRpKsCxqDuZb/V9hv7kNeIH/+2R5V54aALzvZY/Gcx9xUPK3XuSnkoS5ytwqjde959mo+B4eWb8Rh4lowGe/5RPwEWBn5UC8tfZOAMA7KqdhNfbFW8uyWA+ceZFCz8EM5411lokFo5KrjsrXjDrWSlTmOJgyAKrL422mHRK9yM+e2gyefsRhOHm/NUBYx1TFMxzMfIFphnqpAYHuivwIIzRt/+UT+Pald+OUi9Znlk+qyLbo7CgHU8/H863Ooz5I0gjNyswrJivYV2s4c4AnKh5qQYi6lsf6wP2nkmly0nkw02s0lNG0Jjv3+xAwfUfynrocEtdTiCT6wDzu0HiWbour5drLVnwRz5mXPT9ztQauuWcXAGs+zqIOpjQdTP38/fSqTcnreiDxj9+7Bk//6HnmMVhum5GDGYRJqHmtnu1E291+dXyu67RTp0XtwxV1ZQsDve2BlEk7nIWpXEV+9BDZWpD5HvfM1ws5y64J6FV+7sr4Xqp+K0aIrHWMel5/q6izbkgGWqx97Jmr504h1Iwyi/wE0j0f7aqpCmbmzRBZfVDg42ffhsvjUOSqLzK/JyllmrteII9SH5hSv9PXPvGBAIDDHYXsijJMDmaSkqBSbnJyWrsp8nPDvXvwe60w3VJjvAVmwZvVKHXs+8VSc3VVFdlefddlOJijdM7teTATgSlTB7OS5HSh4xBZdZPXH6zPetg6AG4HsxE7qI8/cj8895EHwWahHuROU6K2scruFOUMUOVVzwTMfE3PA448YBle/fjD8TdPPTx6r0kOJmJXar8fvhQXTf4zgKgT6yNEKHxcGB4DADhMbMe7Kt9DKNOpSfQczIyDGahOsyYwAzNEdjkWMOGoTgvYDqbalBaGa+dgTkbhwsu0YkR652mmFuXynLV8WeJgKlcW/gSWT7qnv7AdTNWx/s9Tr++ogxgV+THF3wErJjFfD/DDKzdmlledHGOAoDYHnLQaf+mfnbx1aCww9Y58bp5vfDz6+VkxWYGUaWjbVEWF+cvEIdTvZ5VK6u4Z0QPJcQJ3z9yNoHI/Flb9NNqWFiLr6zmeDoHZsB3MZDoWOxLAQzUnRPYfv3cN/vTzl2DvQt2ajzOzaBY7BxOmyL9cy/VTUzIAZpEZW3zp4qAWSHjxb+PrF96Z2b2+pkA66b0rlLvjCembOJjNQkqDQCbfubNAkCO/0Z6mZMWUeRxv//41+NtvX9myyXXH/lSIrCpQU08czHSZTBXZUCZFsHoYIet08O6ZuQcnnPxBvPDkCxxrtNqe+/2vXHAXzrzh/va25agiC6QOZi3HwdRxhcguNkLn956HPnisln7Hcx6KNzz5COdULUUZphxMdY7UwLJ9Wajft9p3S4EpZWYjL/nMRXjlFy8tobXDyVgLzKIhskvNrSuD0qutDpiK6NU8mBGNHOHajqAdpYEO5foo/CTkTqIWd3aEFnKXVhrtTGCqB8uH/+wYHBjnJuoPyiSPIoxcDd25+cU/PhX/9NwoD3CxkeZg5lWNXTWddopU1Vm1J32NPAcTAJZpAtMXAl+5/gs45lHX45CV0bYjgZnzfQdZgRd1YgPcOSGwgAlt2yH2YTrxReuJBxMLTP18K4dRewj6tsAUC5gQpqupUOG9UedZ9YTD1CU1QmR1geku8iOk5mrYOZheFSsm3UWGVK5lIxYbuoO0Ycesc51mSBk5q7q4O2DFRO7y9nQ3AICF3QCAt1dOS95at9LOYXVNhaKHdZrnRwmXfXEO52RcbKIRSEzGAlN/dlX8dP39l0/E+zOdCJUqoCrOhqE2TYlQ20kdd51GaM4LqjqatvM1URGJw2pz0R3b42OVpkAqFCLbyORg5hXz0cOlt2lzyap9qv3ZDqYHJYSyv029vT7C5H7hEpidhmF6OZ3d6D3bwTTDq9X3ENbrmQ3oX0USIms5mK4BnXNubp0y43QwY/GjBuv0cOITxC3YMPVaYPfdxjqhNKfP6RWuvOrX/fp1mHrATzu6f+S57x/89c1423euxsnn3I7zby2WehSE7umrVA6mfr9YyImAqfoiMxihvo/JiuccgLCvLdPBjP4VAjh49RT2LjQ6GsgDSqgi22aI7N6FuvP6BJCp2m1fc3YIfMsImfetAb7zZ221b9QZa4GpcIkK/Qc1Sh37fjFKbloRejcPZvMczHZCZEdpoMOepkR1zgMZhcjqnc4yivzoeZ3qYaM/ONSUEYGM8tp0d/HYw9bgiUftDyByneqhRNUXmSq4ah+qaEwtCPGQd5+B/z3jFmfb7MqwOobA9AS+dN2X8OErPgwEcZhqAQdToUTUb9buwz+sa8CfSitW7pIrsA9pXuaiSN3MxYY7RFb3YjyXgymswj+qHUjDkNNtBqkzagjMMBGYUzLt4OuDEkJNeC6idSOBGW/Lr2BF3OG1Xb85LZfI8wR8T+B5jzzQ+KwdEgdT28/aFVlxqFh0VWOMhVsV6TmY8D0csGISb3nagwAAb3zyERnXWxcJ9m9KCed9i9E5UQ5mIwwTAaffXype2p79lkUC03QwZXIfFEJ1ntIOZFpF1ssJkZWZTpgQ2YGaSry+6/quJeLc3FbhENn4twtkczB19M6gXvxJfWeu4mF1LUTWrthsL+sjTDqgKyxhNl31C09Iv2VmAXdsTeeKbRYim6kia+WcKif57Zc8CTj9X822J25NtHV9/UY832vegE4rGmE0WPbdy+9OvkfbwdSdp1f6kUtYuedCs43a4EFPHUzHJbN7cbf6tP3ttWjs1y9Zj1/+oZiTmSswpyuYWWgYz7zFPAfT9zJtUvfFlVNVZ3tt0ek7HEwBgYNWRs+arXvdz4hWzNZnMd9wD2A2Qz2ri+YFK4456Sz8+0+uc36mDjmZvsk6LerenFYNL7DvO88t1K7XffUyfOl32SiJUWOsBaZyMF0CUnfowl5mlI8oS010q45VO4KvHRqODgnQZojsCJ3zUJrTlKjcsSAOUdUdkK6K/EhTYFZ9TWBqT4QdsZsShFHomt1Bnow751GRn9A5xYjqMKaj7s3b2mxOQzNEVuswqPkhEeQ/sCyBefsHX4hlEz42TkbrLl+WjrLvliswK6eTTsCCtq/Ful3kJ1pf7194dbOoz3IsYMLLE5ixsLKnKVG/qRwH0w/mjTlRM+0BgKCOST0H06smzpBndbiUeAiCNFzyrc94MACzKutp12zCBbdtcx6LjkR0Lettc+VBKZyTfce/XT1/teILXPme5+E9L3kUNnz4xXjfyx6d6TzaIkH/PBWY0fFOT6RzVyoBZzuYqmKtcjDtEFl1H1RTmgSh1HKRVA6mu0JyPQgzHf+q72UGaprlYOrHqgumYvNgqiI/aShoXhSAHs42p7mZyr0KnQIzDZF1Ckw9dxnppPeedfyrp6st7x2KJ37ot3jeJ36X/J0Xrhe12fzbyMGMw6urapDhyq9Z60bvVzyhOZhpjjkArMzJeW5FI5D4wvl34t2n3YC//+7VuH/PvOZgxgIzSTcAgqRSb7YKqrpP9NLBbOoui/JzMBfqQTJIZPOu067HyefcbmyreRVZre5Azn5d05QogblqqhJF5LSY8sYzHMzos5n6DMJKND/1zffPoBP+/Bd/jid/78ltr6eu33ZCZNU6p11zr/Nz9b2pVIesgxnfI+P3yywwdMO9M7h1S+fTvQwLYy0wFS5RoTt0/e7YH/PNY/Dfl/x3X/fZLr0SYoNCdcRKdwmTKrLdh8iOkoMp7RxMkQrMWiM03D1fdzBz8qH1B57+WnXA1chl1feSDqb+UNy6VwnMOETWcorUXFaLjTAJrbRRDxAlbMyHWXZ5l8ujWDaRdtYMsRL/rvIK6UQHYQpMIQSWT1SSzu9ybdsLmMAsJiMXEEBdiKQDlwmRTXIw4/e8KvxwASc+P51GZELUURXuHEyzyI/aVJC2NycHE/X5xH0zBE+8noyXr3jCyMFUOWF2iJMq8hPINGdROcZzmlv1zh/+AW845QrnsSj+7ze3oNYIIQQM97BZZ8KcbzFMjxfABHRHMXvNNMvBDKRM8iCB9DqciUWjXeRn4845bJ5Jq6T6vkymx0gEptAFptTuR2l+sepYpfN2tnYw1WZdy1V9r+U0JfUgNByDQoJCBgilCr+PtjEz34DjNCdhxUBzB9MIsw/C5DfmOQSm7rL6CKKQ4TAbibBmWbVQnpuLZI5Gx2e282SHGPuewKSXtuXdp12fWbbqpyGSdhvzcp5b0QjDJAz5zBs34+WfuzhT5Edd5xISoeqWWgLTnD6no6YUQq+mnKEDgdnKfV9shMZURTrfu/wefPKc25K/G7kOZnRNzSykQrWe8/uq+tkqsmrgTd1TbVFs//5cbfiHc/8a77/2r3HYftP46oXrnfsuQif97UTktSEwW/0G1TlR12o2B9MchDr16nvx/E/+DmUwX28ywDxCjLXATOa6cuQT6gJqEB37U28/te/7bIdRctOKoI6nZ0V+xqyKbF4OpnIw9fxEzxNJvl2ysrEtiWf833n49mVRTo7eYUuL/ET/TuaEyALAIw9ZFQncIMy4i8rBVEV+XAV67KqQNUeYm9AL5Lh6tjHLrRDZhLjqpx5KmaGRFXjTE34icZdPpduuIDAcTACoCxWmFjgdzOT8TyyDWJjB255ycLJIFQGqOSGyftz5evGxh8CYpsQVIisDTWDOJfmD+jUT6A5mGEQdZCNENvoe9H7CVNVLBMNiI3XKpxOB2d5v6HPn3Rm3y3Tkm1VK1K/P5HV8LJNaxVyXS26/Z7hQgTSmcVlh5WAqkQ5Ev4P79yzgc+el7kfFl8kUAkpgGk4E9IFVFVKeFu45IM4ZFcId/q2Lwv3jEFzXchVPJFMl5OU/BaHE17ROaiGBGQb40+BMHLpwRyJg9y7UsWKykhG6Rois4WBK619zsMCLnd1WIbJqgOipHzkXV6zfiQO1fNvV01WnS1QEtQ/X+WiagxlEwmRaE5iX3bUjea22t2Kygrm6ez7EvHlnW9EIzHzaLTOLSYisuobrhoMZh8E6HMz0Xtk7hdkspFUUFJhfeN3jcMY/Pb3l9oDomItWIA2lzKkiGwn17fvSZ4P6/jfPbsbkQb+ECu+NBKbtYEb7z6s0nHEwHW1YPxPdK5/7iANxW5/dt8TBDIrf31s5y+p3kOdgNiyBCQC3bdmHblGD8BSYI04SIuvo/Oud+VFyjvrFUsvB7J3ANB3M49YdZ3y6tOfBTP9WHdlQRgLPCJEVwswpso5zvh5g4875ZM46/WFsj1xGDmY2RLbiCVQ8kTiY2RBZ3cHMClAgfaAsm0zFqI0hMJs4mMIhvgEkgi8jMPWwraCWiYdbNuEn7sqk7g4jwAImjO5YLf44cjCbTFNSXQ7M7wQ+/EBje5UcB7OKAB/800fj75/1YPN4lMBU/0qZcTDV96GfskCfgzNswBMiDZH1Jwyn9qFiEx4u7sHyiUoiHnbuqyVCallRgbmwB9iXLbhhF4T7x2c/BO94zkOcm6g5BWZ2vy4XwB7Y0F2IwOpcKrdhb+xaKJEOpFViVagrAHieTNxOlYOpE7mVobFeELtwAHBAfC5nFxuZsNdk2fjaUVPDuIoBVX0vGWDKc4IbYWg4N4Wiz8IG3i2/in+49U2YqHiJM7Rqupo51/s013LO4WC6XLxGIBPnskgOJgDcvycajHnsA9ck4aBr4nPTiYup9nHn1n048sTTjeIwRsqvyDqYnhCY8NLrUL+Pqrasmq4mAxZ2+1ZOuQVmq456IwyzVUvrASYrXnJ9pA4mmjqYaYhs0112havIT4IIkt/DJ676BK7deq1zsecffTAeecgqAG4H035vn8PBdJ3XRpCfgwkAOzSBqQZAP3DZBzCx/8Xwl98FIIoqkNIq4lRXjrIatLMcTDsHU/tZ2/p51VQFexcbyTqziw0ceeLp+Pm17lDUMlD9gLypvVy0KrQ1nwxURucmL0T2hbM/xxkTJxbebytUv6LMkNtBMdYCU+FykfT3llrF1DJYauekZyGyMUqQ//vj/x1vPvrN6fsywJ7FPfjQ5R/CYtC8vPcoOZhh3KFRVBIHE9kiP54w5l60BeaueJ7AZPoHw8FURUH0Ij/Rtv/221el+/ejHLogdk1sd3FSC5GtBxLVJiGyapS3VdW4+Vqx34jRYYhFWNUeKde/+6BuuoFQAjOiEYbYKVdE20EAH2E6QTyAhlBhxXkOZnx+J7IuXRUBqp77OvURYsVkxRQfMkxc2cz2NQdTdTRNBzMOTQKAsA5PAJNK3HoVo8N79uR/4DeTJ2L5ZCowd8wuYu0KJTCjZZWYsAcHfnrVJvzbj/8AnP1e4HuvyhybfTlMVDy84vjDk7//8dkPwUl/8igAtoPpqKAb46oybHce9TyqMDTnwVQhi0ooGCGy8bb1AQ/fSydB3295WrDloQeuiLev39fTyADVsVIOZt5E6nXNlVO/EdcxVn1NWDTcoe/2NB5FQ2QVkxUfi40QMwv1JAxTxwiR1R1My5XQO9atQmTtHEydyYqfuHZrpqNrsmihH2MfcXvUQIGeP6afownfM85hGEZRGZPagIPLuV09XU1+P7a7nDfv7N4F9/WgqAcyM0CwUI+qQk9oA3uA6WDCet7p+bWFij51iGqrvodkgEkEuPSuHdgyM4+v3/B1vP6M1zu3oX6m0TMn21ZbPMw4BKbrvIYyPwcTiO55CvX9eVCFu+LpreLf/oz2O05CZCfdgx/232aRH/OzFdNRHq8axFGDLJ/Sckl1OnHybdRvaaEN16+lg1mzHUzzc9Xn+Nu5L+GR3j0t93dntYLtTQadFfOWczrKjLXAbFrkZ8AhssMOHcyCxDfietxxq3pV7De1X7rfMMCXrvsSvn/L9/Gz23/WdFOjVGwqU+RHqyJrh8j6HrCgzUtnC8zdc9GDUd3Q60aOmwqNUQ6mcIa3Vr34YR+GqAUyN0T2v352A+7ats/pPqr9K7Gi581IRw7mzrnmHS+F58jBPHbifvzwDY/S3tcFZi0VbTHTE5VEpNeCEMcvfhEAUBEBfASoIxUfdeVg1vNyMGOqWYFZQYBKjsCsIMiGTskwm4Op/q1OA8ID6vPJ9aB3noK4PRICCBvwPYFVmEu2sdYxVciyCR+zccdgx75aUu1VOZjfv+IebNu7aHx3//SDa/DvP/kDzrxhMzC7Hdi7ObNdl2Oni7QXHnMwVsXVhfXqjUknwSEwXdepPfChd/IDmVPkJycHM2q4/lsK8bgHronarjmYZ//LM/GIg1cilDK9x8QDHIuNIOlYrV3eQmAGYdI5V+fblYOpT3OyqIW06Z1suwhOsSI/usCMQmRnFhpO500fHGrlYOpFw5oW+dEdTGuAaKqaTsuiHMx6B/dz+zzojrz+0YQ13UQjLvKj52Du01wm9e+qqUoyYJHNwXQLzN0t7nPRlDPmsc7VAkxVUydbiWEJmRsiq38XvXUwXakP0X6FCPC6r16OF55s5trZ12syBZcQTvf90jt3GH+7ivzs0s7rly+Iwk+b5WACpoPZSNJG4vBszwyP13/HaX2BeC5de4CnaZEfsy3LJqPP0ntsLP7siJ/aHBA0Sulfq8GVdqZHaTUX7ZyWg+kSwZmw4ZxCjoqXH/YA/NHhhzo/07evjoEO5hKhHmZ/3LrQ6KeYKmM0px+MkptWBHWT61kV2fgaq3gVVLz0QR3IIBlhnGvMOdfVlx0VpD1NiTEPZjZE1msSIqs6MOqBaRc+AVJ3c6LioerIbfMrYfywl9E0DjlFfgDg6nt2Zzr/i8Ei7lj+NkysPS95QOsjzK5f7a5ZdyipQnWWjP5CfJ1MN/bgiRelTrfpYC6aYlBKI0S2HgSQ8LAoq6giQAUhFpFec3UvanFeiGzSY3Dc9yoIcMgqd25pBUG28xMGUFOvZKrJepVIxGoCUxdYYXwuQhFtx0OI5/tXJtvYf3l2qpAVkxXcu2sev9+wE9v3LSZhnWr7d26bxT9+72rju/v5tfchjPOgwqAG1LNz3bmKxuqOju+lVWb1joGdg6lTrMiPFuZodS6nqz48AeyNBcGk9ptKf1/6byXAJ191HM5+5zMMMQpEgxyh1O8x6e9KPZOUoJ/JcaykTHOg1CCM08H0PEyqEFltsOj+Pen0BHbRkyIOZthIBz7UNC17FxpYNVXNuCz6PJh6kR8lhIJQ4ou/uxO/uu7+5FwGoYSIz6cnsp2/0HAwzc8ntfxYFT7ciYNpd2r1DrUSAYesnsJxh68xlg3jKXumPEvoqXxLFdo8XcVsLRKeV929y1hWv95Pf8fT4lxrYNdc8/ucXbAJAO7dPR85mEpgag5mbohsmObGu6ZpaYfFRoC3fPNKYwoYRSIwDQtTOZhx+P2cmYc+nzMliOdlr93rNu3Gm7/xe+O9hXqYEam7tfP6oV/fgj3zdYR5AjMeRFFzzwLpfWjKj6epEkpgRvfN3ZrAVPcZdV9o6WBauds6yyeiz5RDOl/LRh5FB3UI8P1XI2whzIqQVHzNmzu6yTp5qIGnxXr2+gWygwqTaPI7iK+BRk71cXP+0lhgMgdzaeASkINyMEcl9HSpVZFV10DvBGa0/YpXSacCQPR9T1WiB8BCo/ncUaMkMENpFfkRqQtQb0ij+IfnFROYiYMZSMBbgL/sTq3ITywwfQ++y8H0w9jBlKg3sjmWttNii9T5etT5XXXwhTj6AVFujZ7DlPQ/IPGQOOSwVcdrTewiST2cTr8X3XeN+/2gbv5dn8cyrcjPQauiDkQdPipowBcBQghUVJ5KLOijEFntXIcN7Jmvp2FWc+YoO6AcTLfAMBxMY5oSK0TWEJjTZois1nExfotBHYfX78ahYkfkaMogEfo6yyYruOn+Gbzyi5diZqHhnK9y11wtt2pjUK8BtazA1K/l/WKBIKwQcBWarYc21ZrkYLpcct96rxGG+NQ5t+GnV21KpppQCCGwfDJ1nKaNENn4tTAF5rKJCh560Mrs8XnRoJC6x8i401drhMlv7ID4XM7M598jVWdSOZhOl9YXyZyMeifqnh3pAJvtiuWGROpTmdTS+2dU5CfAzHw96XzrzOZMU5JWjw3x4Xh+W124N3MwdcHoWyGy+oCaCtm9c1vxgiBK5OcVZ9E/+/U7no4Vk5XUNdx2G7698fl4ROM2TFjOqnK/1fldMVXB7GKA0665F7dsNgu16ALzUYeswtvjHOSNu8x5C39+7b14+HvOSP5uhDITJnrH1n2YqvjJdaCqfEupOZh2iKxWRbbbcfirNuzCOTdvwXt+dn3mM1dIa3IVq/NnnUdXPj4QFe2yBxLWb8/eX4BsHqb9G7hr277cCueJgzmrO5ixwIz7FyK+b6+N75u6gK0ny6aDKTr23/nl64Dp+Jb799+9GjMLdS3k03GO7ji7FFOlEwezVQ5mEiLbCCF++DpcMfn3xue2AzodC0yncG3Rr9TF6jwF5hIh/pU4q8hq7/WzYz8qwm2UxE4R1CBCLWguCjrluzuifMCKV4Ev0o5gGIbJA2A+aD7B8CiFameL/MTvJw6mVkVVCCNXLJuDGX0ntURghpg+9DtYdsRXMFOLOkGmg5mtNFipaAIzzFaJdc3Vp6PuB3W5kIhRM28mWv7E5z8EP/27p8D3BP7h2e4iMIr9VS7Mgva9687khCYE9N9bY9EMka3PY5k2Tckbn/pAfP1Nj0cDPnyEqCCABDAZP4QXPAEfYfQgsxzMP//CJel3sZidy6wiAvhaJdQZuQzvbPxD9Fmug6lCZJVDGu9TCcxaKjCNaTOMKrINPO2B8Uj8ykOAMHAKB706LwBnGO2KyUoiHmyCei1qp1WpV7XqjH96Os7+l2dm1vO0eTL1UfRmOZiujqKd+9sIJD51zu341x//wTkH3orJStLZdofI6g5o/j07cjCltkzqOiRVZONzOdckt1h1jlQBJrvwDBCHyMYCWO+k3bNTE5jz5vnPrcSp3SsatfR3NFFJq8iunKpkBIkS5WuXT5hFw1SIrBVuqmgmMI0cSMvhDEKJw/efjj6L7y2v/OKluOHePe7jssibOsQVIuvFbnqy7O1nAQCetvg7TFgOpjp2FX6tBixcVU31EFkhBI5cuxyeQMYF/MgZtxhuVSMIM/lkW/cuGiGy7zrtevz82nuNHExhCYAwRGnzYOpVzW1cRX70ENnohflbyht0mZ7wMV83P3PlWwLAtn2L+MEV9ySCy/4N3LVtFkEonRVcVRj4Tl1gxsemHEwh8kNklRhdZlX1VdjnSRc/mRDZ2MFcv30WJ59zeyowcwRTGX1J1b6FUh3MOES2HsC79XQcKHYbn9s5yqoAnVMYtujXq3W27V3E1plosKUdN3ZYGWuB2bSKbKjfuPvoYI6KwFxiOZjqO3aFS3eHwJwQuH4+yuuqiAp8L+0IBjJIHgCLjaVU5MddKTWQMi7yk372sJlL8MrKBenK1u9NPQjVQ68RhvCm7o/fq+GsGzfjDxt3AwDumrkFl21W20q3U/EDo8hPszkqo+VtJyke6ZchNuxdj4onjBFndTTLKxKrp6u480MvwouOOaTpPj74p8fgYQetwMFr0lw+qQvMlQelr/WneH3OFKL1WaPIz0RF4tmPOBAN+KiikRT5mVKl3IWAhzAa7dV+x4v1OdwjfwKpBOTzTko+u7tSwcaKHxUN8rSRb/i4L9gfAPA0/wYcsPVi84xILUS2sQDcfna6T+FHlWpr+5Lvw+VgKoHpxVVlxcQyIAyceZF2nthah8u5de8iLtWmaNAJ6vFvsLbPcM1Uux55yKrEyQNS8VHx0ulxmk1TopNXAEdH7+jZhbMA01WaclWRtUJk8xCAESIrEcITUcdHdeanJ3y89RlH4QdvzZ8IXTk5qtKy3ln//Gsfh8ccthoTWpEfvTN2dxMHMzcdSTuvgSUwF+oh9i02EndHRzmY+y+fwFwtwI59izjyxNNx5o2bM+3WBz30Ij/NXJ5p3/xssRHiZ3//VJz+jqcZU9HcleNm2Sghbju5emimEiaeiAYvUucs+lfALPIDaAIzjI5zxUTF+M51VlgDOlNVH4fvvyzjxE5ZgzyNUGZEFgBMaiGyAHDJHTuiKrLSHSKr5yB3a3q5Ko0n+0mK/BgxsvE/QfyXeR718G6dFZOVTLTETE4O83t/fgNOPPV6nHtLVBl416y53J3b9sWFjrL3vcmKj6mqmXerBmTzcjCv27QHZ9+0BUB6fakBOlsM2udJTwOww5WnJ9O/f3vzlqTYnbGNnHmtiyClxFcvvMs452rbC21Vkc3fr5QySaPIE8aqAJsaEHlX9buYQN2dO1nQwXz8B8/BW74VpYGMhYMphDhFCLFVCHFDPxrUT5TAbDUPZj879qMi3EZJ7BRBHU8vHMya1kFZPbnacDADGWDCj274C0HzENlRKvJj52AmRX7CbJGfJ2z+vrmy9RtIi/yovLD0wVAPArzrtBvwzUvvBgC844I34d2X/mv0odaZ8uMQ2XrsyLjmINTJFFvR7gcv+9nLMFHxzCp/6jtuY4Di8Ufuj7Pe+Uz4vh6ip92LVmoCVT8ntVnzgVWbw7SWg6m20YCPCgJUYwdzSjmYscCcXTQdzJ/cdwEmDzgfM2uvxTbfw12T08CTInfyJYc/AC86/FBU0IAntHsjfDTix8g/VU7FY8/X8kaByHZQv6nbzgS++wrgrvOjvz0f2O8IYMedbgdTmgITagCmuiz3gW07mKunswLTJeySfSrnsj5XqMiCmt+wEYZJ5/fG+1Lnt5mD6cqleuBas7BSsxxMwBTUuoNZcbj4TQWmiHxrXWBGlVjTaRk8IfCuFz0Sxx+xX+52VIiacjD1TtwLjzkEP//Hp0EIkThR+rx1uoNpFxLK7YTqqSz1dIBusuJh11wNoYzcHXvtfZrAnK01cNldO+P9RJ/rX73hwibTlMisy6MtN13JOj5rV0zi6AesNgRC0WqoqiBQcwcz/Z4qvpcNaxQwpikBUqEd5Wim19OW2EV5/qPSQa6VjiI/D163AndaDua0ld/bCKRRsVahV5EFItFnzIPpqCKrfrvdO5juUFAg7zsxBabtYKpKqTYrtKrWUkp85YK7ksFQGxU6qwSpLUw37prPdTCBtJLsGivHt+rFAyxCVZCO7olfu2g9/iYWM3YBO1vcZKaZaeJg6kWbN+yYw8adDvHdRQrapl3z+J/TbzaqxKvvrK0Q2SY50KqaPJAf/qzyhutxfYOX+JfjNf65mftC1MDmAtMlYselyM83APxxj9sxEFRyscs1HNQ8mKOSg1m+0zdYelbkR4ikaud/Pem/sKy6zMjBDMIgudaWVg6me5oSV5EfKcwOyfYZc1R/11zWwVTMN2pGaXarFckr3wvhCZGE0KjcnzwyxVas632i4hlhZEkHOGj/+tG3XdPnftSruMomAnN+Jx5w23fgyazArMZVZCWA6fgaXxRRiOxcrWEI1/l4mhwpGnjOAw/Dy/7wf4Bvdiqj0EBtrrUoy9NxVDJtd83KNVNVWr0KcPAxwPbbsCwWrUYV2VBVkUV0vGoan4nlmSkMFLaD6aogmucgRM2NP6vNGg/4vE7dvz7/YQCAtSsmnYLRXUU2v2PzsAPN/Ej9Wt85WzMcXgB4seaS67mCquMstEGWZgNUnjDnwZQIkzBT1d92TfBuoxy16QnlYLqP9QFronDRO7emv/W5WlrxdU/GwcwTmFoxPsvBVCLVFjxAJDA9EeWV7p6r44b7zFBV3cHUO9d6iKzdAQw0sTzl5Ts++gBHoeq4SDvDGQezFmDjzjlcdfeuNERWRHP+JteOVNeCyORgKhGj8nuVS7l1ZgFCAG98ypHJskp8rNYc4QesmcKWGfO5ZZ/vehgaOa9HxoMoUxXPOBdV34OETEP09Siy+OAqWmjrmTds7jh/T32nLpHhcraSS18NrlnncXOOwFw+6SfPiXt3z+ODv74ZZ8WuoY2KiFGO4KwVir57rhbnobp/h+p7OWjlFIRIn5fqN61yMKcqnjEQJ6VMjllVkbVFkjpPasChmbs2UTXP34V3bDf2FW0wfWa3269Rvxk9yiGZB9MVVhrUgT2bMm83y8HUxX2eg6nWb2gF9HykxZr+89Tr8C8/vBYAIButpvIJM23P2+8o0VJgSikvALCzD23pO8otbFXkhzmYWUZJ7BQhcTDD8h3Mevx0UiOJtoOprr9W82COVA5maBX5iR+K+xq7Me/dYXQspFfBGcuX4WcrlgMAZmbNarq7rXkwoxt4tL1te+fyw6UMBzNAxRNJh99VaVbHdrns32XV93DbllQ4JQ/ODgZedNe8FtSBNUcAEytSQQVkHUw9RPaM/4eDL3oPloloeSVY6zJyMCsIEAqByf0eDCAt8jNbs3IwVUdEL+Hgmw7g4w9fgQeuTTuYc3IST37oQcigrtW9m6OQXh11jjwfOOjRgAxwRHh3ZhPpPJjC4WBGn73/ZUfjHc9Jc11tgemau29Hk+q+Un0XtVkjbyxPW/3pYw/Dhg+/GKunq86OXxoim57nSeRfI6rCqMIogrNzLrOPtzz9QclrzxDn6keh5cI1GbxUOZj6dT5R8bBx1zw+ec5tALLn4KQ/eRTe8+JHGu+lOZjNBeZDD1yBA1ZM4JI7085nLZCJOCmag3n13VrntWEW+VEd+4mKl9H00TQZPh6wZgr37Z7H9ZtMgamLDH1VPUS2brs82nc8XTE/q2mdx4rze2pOOriWDZF97sd/hz//wiXaoAKSfHP9CITwMgJzdjEVmJ4nkt/LebduxfKJSuLQA+k9XC+utd+yiaS6aXLsVhRBEEjDaT1qXVQEbarqG8XeqrGD6av7ttEHi7avBia/fMFdeNt3rsKvrrvfcbZaowSTMwcz3pd5yakczLhtVqjx/XvmM3PlAtG8kqpicSt3bdb63M6D3TlbQyOQmUEmxcGro1SbdSsnUfXSeVBVgUERTy/leyIpMAdE9yh1n0kcTEtgKkH+yhMOx9uf8xDUgrS6tC3yVdG6Vz/+cABR1VxFch1oz7x2BwlUv0If+FFa0Rki++t/Bz55NLBgDyLl7zedW9jLdzBVVXtNYNZQSeb2/f4VG3FqPE9tQ4tO27dQx8d+c6txb68H0phiBoi+FzvPc9QY6xxMJSpcos4QmCWHre5c2In79t3n/KxdgfnV67+Kq7dcXUaz2mJUQnmLkuRg2nMBdo1APX44Vf2o82g4mDJIvnOXg6mLylES9aGURodUCAEhgJ9t/TfMH/BpTFU9/Pbu32LjzEZI4eM/DjwA/7VuLQBg14zpeGXmwdRGnbfuy6/EKCyB6XsiGSV05bHoZIr8WL/LbXvNwYBkYvUOBogMB1PWgZUHAw94rDUViS4w95n72XIjgDQPVLV11fJlsb8YRiGyKw4EoARm7CroD/d4PaPgkiUwH33wMkxPpJ9PrVyBf/vjRyGDum533pX9TLm8XgU4IHIAD25E90P9oRuoHEwBU2BOpALzDU8+Ev/y/Icn69ghsnre2A/f+iTjs1edcLijbanA1DtZrb07d8jrP//w2qgIivZ9TaP5QNKBKycTJ0/vlO6aq2dcRD0PVf8kESJakZ9wfnfuPj0homhmay5JlQ9m7wsA3vTUB+EtTz/KeG+hpnIw4yI/OZ04IQSe8KD9cfU9aZvqjTARJ3YOZl442/otaacxrGsCs+Il4kmPltCZqvo4bL9lWGyEmUI1eruNXNwkRDbMVJEU+rmzHEw9H9twMAt2rtW9z14+iCNCgPS343vKwVRRBOpaEJniQ/u0EFnfE0n1311zdSyb8I18YzU9zX7aIMiaZRMIpen42FPgNEJpiKUH7h87mFXPmg85ku9JASXtvqjEgNr2TXEYet6UOa1o5JxPwH3Neur3GzuYwhEie9h+2XmDV0z6yXVYtK2qSbOLDTxw/2U4+dXH4cXHHoLdc3WETRzMB6yOogIOWDGBii+SY6wn99vovrNyqmq40PO1IAnxn3TkRgPp/cT3osEbKdP37FPYCBtY/78vwv/+2TGYqHjGbzm5TjSBedq1WXexGaFjAEC5ic7pYm47M/rXqg7eLAdTpb+sXT6ZG6qa9Ef0OaZRQS0IcbmW4y+lRF1zbD97zi347Hl34NSr0+OuNcJMn6LWCHH8/5yD/z3j5tx2DjulCUwhxFuFEFcKIa7ctm1bWZvtKYmD6ei42yGy1269Fn/68z/FnD0a3wHP/dFz8YKfvsD5WbsC8+SrT8Ybz3xj120qSlIYaYTEThHU8bRyETvBdjCfcPAT0v2GQeIsuHIwR1VgSpkNK/SFwFwYBUNMVoF/Pv+f8aLTXoSa1X3fvc96EMztwqHYlo4Y6g7mvvT3mHnuap0A34seoGqE05WHd+6/PhNPOioqWGPnaNohsjdNvhmnTrw3+buiOm4dDFDogxq1sAF4VcCvGmFE5rQkc6ZTKlXhiQh1D1m7chlefPSBWF6NPAxVrViFyM4umiGy6cTmuoNpFUgJG4bj2vAnUalmpwJJtrtzffTvCs3lTBzMCjAZuRnTsfuqP8wDPQczaERFgoCoMFDOfXJZEwfziUetxTMfti75e39HhVmhOmP1OVPsFhACeYMWv715CxA2MCeiDL4JNJxuh+Ki//ccXPGu5wEA9llhci2M94R05Fs7hktOzl1eiKjjVrcczHaxq8g268Stnq4aHcJGGCYOpp2DmeciNLTQM6nlYE5UvCRkVIVe2kxXfRwah+putsI89Xbr371IQmSDTBihnjM4pRX5+d5bnoiXHZdOsK5fJ3nHFW0v3UbiuDVxNLbujY7BEwKrgl1GyG70PrLTlGgOpi8EHn5wGqI9VfUNIXKMuBMvOnAnTnrp0cl7a+LP9SmZ7EGQfYsN4/s8bL/onEfF3vQQWQFImQhMEdRQD+uoB/W00FR8fai5X/Xf91ytgWd/7Hyjc59HUqDFcX06Q2Tje9akUNeJnoMosWe+nlRZ1tGnEWo2vY+L2cUGlk9W8LLjDsUhq6YiBzNnHkwAODQ+r6umq6j6XiqA1MCh4WBqUSj1AI0gmjosKb6VU0XW97IFumpBCCHMmibRgLLIDPgldQu0Z9v7f5kt79LM1bRDW6PQ/uj6VjUeitDUwYyF8AErJnLDgfcuNHDH1n2oy/QalIh+h6/68mXJezMLDcPBXFyMQvn1c1wLsgITiO6Dq6aqmfdHhdIEppTyy1LKE6SUJ6xbt671CkNAMwdTFxqBDPB/v/8/3LH7Dty267au99ssVGnYRYRy30YllLcoyTQlZYfIajmYSmCuW7YOl77mUgCmg+mqIqsLzJEKkY2LRujooT11keah3OWZ19KefWZRgK/t/TtcPPVPaZiY5hzoAjPbIdZy6GIHU3Xoqg4xcNS6FXjEwaucn9vX+zKxiMd5dyR/VxB/3qWDWQ/rUeioP2mGyOrffW22aa5n0la/AgR1HLDMx4rJalqtOA6RnbNCZGXSdu3B61kPt6BuhvR6fiQUjWUa6XZn4lHa/TWnS60vvCgUGMByRA9g/WEeJiGyiHMw4/UmluXmYNohsZPWNaHnh7kqzKqOJGr7jJyYZgUhFH6O+luoh9hX34cnHnk4PrvfakyIunMOTMVExUsqws5aYXJ5nUsgdRiPOXS108EMmjiYUgKXr9+Jk3+bPt9aVVp2MZ+pIpt/3swwzigyQTmYSpA8TGzEn3iX5E5krwtMaBEg+vdejR0XmzXLqkmn3EZ3sfR1VYhsVQSZTrjUBJ3uYNrVV/XBqzkrLLIRhMmx6+dGdaqbXYaq0Iy3bzP+9bqX4O/kD1XLon9aOJieJ3DI6ml84OWPBhDls+n37KmvPw+fn/lHHHvYmuS9/eKplnZrAnKxEWAaC/hW9X9xhNiMTbvMQfmDVkX3oZmFhrH9G++bwafPvSOdQzSo4fk/eT6e8v2nZBxMhR4mecvmvVi/fRYf+nVrx6eRhBxnn6kuB1OJp+UiGvzUC51dePt21BphJjwfiL77fW06mGr3+xYbWBH/jvZbPoH5eoC5xUbuPUANBkRF9EQiou0QWX1ZIHIwa0GIqpc6yraoSgSmEBmBuXehgRWT6fze+oCpCrlVJFO06AOxInu+m/V1VJG/dG7Y6H11/nMHbaxt6kL0/j3zRjiqauf+y/MF5tcuWo/nfeJ3qGkO5hRqRjVsIMrPbWjTXlVkdOxPuOlDOEHcEh9TiO373OaG+r2MIgyRhVvwzTXSi2RQ05Rsmd2Cd1/07lxXrYwJattlyTqYYe+qyNoOJoBkqhJdYOrXXNIu7TyPUliya0oF30sfKnNIw0N+OJWmeDcA7NVyMKWUWIsoDK4WRFMD6KX9d8ylrzOupNaZ8kRU5KcRSoiJbdgwe42xaC2o4e6ZuxNHw35I6L9LPcRZUVFitgMH0xBsMohcw8qEua1mVWRVu1ThCnU/86pAWIcIG4BAVK1YAnOeQNWTUREJo5BGtL9d+6eTjweWeKwFNdQ0QbzoEph2UZ/l6xIhCQBQoYxeJSlkNCVjgak7mLbALFBFdrLF/KZKwEz4nnNk2EsEpulgOp24+V3A3nSgJK8Izn2757E3jnz5xYrlmEAjM9+ljYjn1bQnX88rNgREvvMN73sBfvJ3T07FieZYBV622I1CdX7v3JaGnE46iuO0QoX0LovXbeZgVjzP6OTVGqmDqcLqzpr8f/jMxGdzpx9oNLRCW9oA3aT2E53wPWdZpbUrJg2BqYeD6u1uBGESOqpCZCdRzzol2jU55aef2UVv9MEre07RL5x/J/7oE78DYKYCqE61a45GhSo0I2ajsOZnivgelxT58VAV5v5mLQcTANYl8522ft6oXD7dwVxshHiW9wc8w78e7538YaaK6Lo4r9MutqXCsVMHcxHb57djIVjA1tjdsQXmfM0Rxl6gGFU67Uv2M6eDGf87JaJjmdSmatozH10LrmJSatqXWiPMuPLRnS3al16hV913ZheDRDTtF5/n2VqQWwFdz32t+h6+d/k9OOemLWmIrD+fXHu6gzlfixzMip8fIps6mFmXc99iA6umqsm9Vn9WqqJBCiW2pZEOlD3fV2zYmnlPoQYF1FqqbSpqIm8wyn426wM4T/7fc/HeX9yY/J2EyK6YNK4He3oaIKp1MCsEPrL/GlTEPO6ypu25b8886pqDWQkX8UfelXjExh/iJ5Pvj7YRhLm1AQ5a5YgQGhGKTFPyfQCXAni4EGKTEOKve9+s/tCsyI+eD1eLQzX6gS52P/L7j+AXd/4C5288373sAF3EURI7RVCDCKWHyEqZycEE0kI/QZgKzPlGtpz36DqY2c69P7EreT0TpgLzmmoqEvd6HvbOpn/ruTv1IMTHz7oVn/7t7cnTZedces5Mt0rCdDAbSe7Kigd/HN+5+z1G295/6fvxktNegpc+bg2e+bB1ePUTzPw89fs/bt1xmPSzN/w0B7ODEFldsAX1SHj5E2aIbCYHM7sfdbaT7fnV6KEaNhAFFQvsX1uDs5cvw+opYG4xwBV3pUVSds7NmRsCULM6M6fU7zcdV+EQmIsz5t8rDjKXqe2N/vUqQGUSED6mYgezboSlqu/eUeQHSHuH+pxqLabyUZ2wFVMVTFazjz9P7bM2awpMV9jVJx8NfPxhyZ+2WFBs2DGbuMMSUYhsMwdTUfFEUiBEf8/mRcccDCDq/K2YrGCy4uPvn/1gPO0hB+CItamAaiYwVef3MC/t2E124GAq90B1jJs5mBXLwWyEqZCzO4kLOed2saZ1yrTfyzJt6p+8UN+1yyewcrKShCu//klH4I+PPjjT7nogk+PxYrdlAvWkmEeCkYOZXi+2KNK/+y+cfyee9X/nJcL8d7dtw9a9i0ZuJaA5mE0u7/t2x4VmLGcnLfLjcDCTKrKpO66EtmrTC44+CM986FrnPlWIrF71d6EeJKHE1YqPe3ebzzUlbrKCKyIVmOnnz/14JLptEZcrJlqQVAB1OZgqx894Nzo3015WYAZhNLez/T0DqXt94qnXZQT1ykf+J6aP+BIAYM3ytG+gIidUiCxg5r0++xEHOo/pT459AF55/GF45/MeloRhv+VbV2LPQvS7EP48Hnt4NMWQPn3TfD1Ipg5Tv5XMFDy6wPRtB7MeOZixnND7sLaDqYRbva73s7LfwWu+cmluUaRkcECa/6qoicW8uTCt/rI9kHDmDZuT16rfsdYKe664BCYq+MbqVfjO6lVYv+beZLoZxZY9C2ho/cpnbP0OvjLxCeuYwsy0NIqDl7KDKaV8jZTyECllVUp5mJTya/1oWD9QPwSXUNM7+yddehJu3hmFXWRyOcKwI9cCcDuQeltCV1VHjYFMFRI3ZVSmUylKz+bBlGEmRBbQBKZsPk2J4WCOkGtsz4MJAJ6fnttdtXuc6814HmY10Xi7Vnyj3pA4/1aV3x1tXP8NmA+z0Cjy44kwt/oeAFx6/6XxWov45l89AW948pHG5+p3uay6zDkIkYR1dTDwknEwvQq+UN+My4V2LartCg+ozTlDZNXRJvcQrxI9VMMAEgKe8PCQuSNxd7WKyWW7MLvYwDcvTsN8r9mUzZ2vCaPkDz4XbMGOMD1+p8C0C/usODAK+1Usxt+p58eT8y3HlHTkYGZCZBcB4UfuLpCKbv2ct7gnqg7qismKMwTUl3qIbAsH03Jq83Iw794xh5qaAgaROHGFaNtUfa9QiOwnX3Uczvu3Zxkd3ENWT+M7b3kiTjhiTfJe4kbf9hvg3quMbajO7wqRdo5cArwVSYhsiyqyQCS0GpaQc3XSAaBRz94bAWB2Pr0WhXb/XKb9dqIQ2Ww79l8+ASEEJivRPldPV/DF1x+PNz75CCPvsh6GSS6Z+jVMoJEJkRXa/Xlr9T74y6NwY7uqqj5IEMporsAds4tYqAe4Lq5mu1A3czzrSdXTfIU5sxCHTyZzmZoCXggtVzzGDJGN3luXzO0arful15+Ab776IXCxX46DecyhUaqBfr3+9O+ejK+/+fE4PC6G86anHuncphKYl92erRA7ZV2T89rAQzvxXE2ryDa5ZidjB3NCS+v4r+v+GPsmz3UOZChX7dSr741CggVw5j8/Pfm8smwDAGDlpC4wU2dwRby+qtx74MpJPOOhBzjbNj3h4/9e+RgcuGrKcGZ3zsah0/48vvT6x0X708K252oN1INojlEVBbRztoar7k4HhNXvwfdEInrVtbNvsYEVU+4QWeVgror3p0RUfVH7PTtCZCGC3AEINdiXzHgSf18rWoXI2g6mFW+uD26qdtppFEkqjL4eKmjEl7kQddy1zRSYi43QKPJzwEK271NrhJl7veLApSwwlyJvPvPN+NGtP0o6MEos3b7rdnz5ui8DcLtJgEOA/Oj1wAfcP/hWOOff1EPWYoHpCskDBiMwkxDZJepg6iGrpSBDZ4is+k71/TkdTGM+thFzMLW/N+7dCKy+IPl7prEVB05nR2JnPA83bNyOE/7nbEgp8WefvyT5TDZqmQmf9Wp+Rg6MCIwQWeEFudX3gPS6dhUDAdLf6vLqcoQyNB4zb3nag3DsA6IpVnDDT4EZd4XoPAxHUDYAr4LPL96Nt6zWOqaq8zq5KjdENhCW6E4EZgMyLsIwLaOH1fKpKES2oj/cRXabNc/LTKqxMdQKFohKthDQt15m/r38QMvB1AQmAEwsx0PXRAUh/vSxaTEUNaBiVJGtTEUiE0jPgXb+nnbUavzJYx6QOQ6FEj7LJyvOAYdkoMAq8lOkcMTxR+yPf3x2tiO+eWYBczUlMAWqaOSGuelUfJGZC88VIjtZ8fGgA5Y7txHIAJX4XhN6fjQg+r2/AL7ynGiBvVuALTclUyRMI/1ui4hgm1RgFnMwdWe43jDDDB9z2Orktay5i+vNLmgCUxv4WaaF4+cdh+q0K2GwIg6Z9jxhdD6lTI9HBdtOopa5JvRpSn4+fQ6WPfAUHHf4GiPfDXAPRNQaIa7btCcRrcpVmoRZQbvVZSiESAafQsRzYcbPENc8mHaRH8AMFU4XdIcsrpquQoh0rmIg6lBPxMfoxdf5qqkKjj9ifzz74Qdi+WQFGz78YrzuiUc4t6miQSYcnXlbrOsOphIIYSjx2XNvb5rzmJ7P7PWpxPJhcjOw407sXagnzwdV5Ed3MAFgccVvMeFJrIR5ne7VRMOeuToOWDGZ5Pkrnv7QA4w8XeXA6Q7m447YD+976dE451+fmYkMcqEPfuxdVDnvASYmovboz8KFelRFVi/y8z+n34w//8IlSeEZNbDheyIZgFA5g/sWovlrVbvqMjvoq0SScswbNX2Q1hGSLMK0IJBFUr02/rt4iKz5ndmDhovaObt31zxWTVUyDmw1vjb1sFUJAZVy7YsAd+80r4FTLl6P8269N/nbd5gztSBfYK5yzOU8KoylwLxyy5X4wGUfSDowSiy94Yw34DPXfAa1oJYrMDPuxS2/6rgdrqqhurhRnd1hcjCXbA6mdjylupgycApMIQR84SMIg+R7XAgWMiJyVB1MOwfzr3/z15DLr03+XgxnjZBhxYzvoYoGtu+rJXlXn1+zGq875CCE1VuzxTq0DtMKPd9DhADSz4TIL46gk/ebUu8vr0Yd+Zp2bO95yaNw0PJ4340F4Fsvb7kfHb2wVE0GmbxHAKlLN7UqN0RWHW1a5EeFyEbLCiFQibe9rBoilGmnuA5gtpq9Hy0KYRwrAGyS6T2w5nmmO+lihSUwEwczfq+6DCu8Rdz4/j/GUXPXAyetBnaud+dgVibS9dQ50Uamp7wQn3nNY3ObohyyyUrW1fIQplMk1GYNB7PpfIWa+HnZcam4vfn9f4xPvuoxAIBtc9ExhwKYEI2W0+QAUY6iPRdekWtYJ5QhJuIiFA3PB3bcbi7wmeOBLzw5+XNKpNdAI+4oPvUha/GO5z40dx/f/usn4Pt/E00Bo3Lipid8CAG825on0z6W6BqMzm09DA0BoXe679m8HQ9/zxmZbcznCMwpoQtMdw7mgZMN4Pdfg7ptKAek4gnUdQtI1BInRm1pQjQyAlM4Bl1/9g9PzeSGuwYXrt24G3/xpUuTvxfqASq3nYlbp96Eo8V6vPrLl2HPfL2pgwnElbSTvkvsYMbPMw8y48AkOZgynV9RiZqnPkQLi511C0zfE1i7fALb9i4k3+NCPcCEpz6PXujzLrZC5bm6BGYQmtNf6TmYSlRdf+8efOys2/CBX96Eb192t7NIixIXtsj4+bX34usXbwAA/G7yncBnHodjTjoLKhp6Iq52XfHM+28oQ7x082dx/dRbMKENyb3icYclr2cW6slgg34Mp7zp8YaI+MLv7sDdO2YxWwuSZ1rV9/DGpxxZuKKofsyzi+nzZSZOX9DvI3O1aDCjooXIKjbsiNw4dalXPIF18QDE1pnoXOxdjIv8xOsYDmb8ez50zTSESENkGzXdwXRc0yI0xLlOPXEwVR5tLDDj6zY3dzgTImvut6YNUJx361Y8/aHr4vORXiNq8ENFPQDRoKT6y0OQeVbcvWMOP7lyffK35xCY+997Hh64+7LM+0A21WiUGDuBqXcq7CqyqsjKQrDgDFcEiouPd573Tvz3Jf/ddBlXqJ0hMJPk/ByBWfqcja1xJXIvBXRHttQ8TBkmj5uqVZHTF74RIgsAC4t70yIoMF3LU244pZRpcgBg98Lu3EGUMpBWDuaOebN0/EIwmzkfQORgVuOOxZZ46oAv7Lca101NYuEBX8OCv95cQXPddAdTZBzMesb9cbnweb9vJTCXVaLwrsV4W3d96EXR8YU1vOuAtZgTAtjjntdr095N2KvyD/Vta7/jxTDArEtEqOtgclU0TYlap6Ll2Nm/Ta+aOpjxMr6IzvlUPACriqS8e91abFyebVvNITB3a3koNeFlK83arDjIdDnVfGQidTD/P3vnHS5JVa39X4XOp0+fHOZMznmGITPkIDlJziAgoogSjCCCIoqKKEZERAQFJAlIzpJzDsMwOZ05OXXuqvr+2LWrdnX3mRm9fvderq7ngTldXV1dXbVr7/Wu9a53UcjAu3fBDfuJbatfxHYUgNm/Ct64SWQw9fIMpmgBsu2EsTy51s+SV7OBTIEYOa4f+QK13a8H3gupDm0hHVCRLe95GLCbjwBXJVCleMbCBlPcpvJ9inBVmFLVNjnlFjY0DwDIIbEpmnc1sxyLkGxMDrDmJfcd9zhl4zGmKw3BXRrbIQvGcP4+0xnNdpnWzLYTRW2XpKeZusaK7x/IKTtNHPVzMrMonXxVRRYgoVzLuJar2ni8lPNpyrry7MYUgFmuJCxtq5XXwf3ns7f+CuDTBnWlnZFZ8x7JmZdARDzTibA45zBFTrr+5SB42cKykWoZVQlqpOWKFuGVj4vzdNWq31k7uNl2ObqmeeuHgybq2NzrEsIKZDATDW8wWBA0SFvJYAK88I09+d3J2/oHHhm99VxLMsotL69h68sfBUQGU/5Gwx3n5erOmzJJ4y0XJALoGs4Hnp1s0d+nHEje/tpavvXXd7numTLKPv6YKwcDf/+op2JfANtleoRcgKk5QR9B02y26bkHgLjCAkjFQ1zgPjsDmaIXNPnT6dt7+4QMPXB9ckWbo34jgg3VlGm3xAIAU6lTHiwICraawRTZctFfs7xsQPaHlYENXfMzmN1uBnPYzWDqbqBN9Q1l26j2VJSaiOmps6o1mFrV8I81ak2ipDfLR0E+E/K8ekfK13D3t25C5Ee15T0jdA3n2W1GMxFT97KWAN8/dCaPnrdrIEBoYHuBJ6PKmAUwFUq1USVwsssrX+DLG75WsX3rCfVVj/dJsX87gKlmC0brg5kv5cmWspha5cNdLesIVMiRPbb6Me5aelfFbqozWc3BV2sb5d//Kymyn6Bs2paYCuT+pQDT9jOYZllmytCNgMgPQPaX28H3/J6B5df5/hX3/0tOa5fbduHEB078lxyrmtllNZh2WXF8pjRKBlPXvcj1+sHK58NypKMuDq5plhd1DTiSZQATrVhRU6bOBZItMFqbGpUiC34GUzr8Nzj93JdMcFeyppIyCjiv/oH979q/6jVXn+OsUyKjjhO5iqoA0ypA0b02yhxSmcE0xb6OjYN4duUYjLgql7bbWuGhRGWTcIACVABM1doak0KQaFNW0wIRv79eQOQHXIA5Anec5u8TqfF+hwPw8aMiO2yX/M/Ja2IVWWOa5HSda94TEgF/PnN7Hjt/14pTOXqbcXxxVpbG7Apmvn1l4L2w4hz0DwxsXuRH2urnoWcJEASYL214iRMe3wU90kl/VtwnGwFONkXXlmYaukcpa3SzBqMp1Y5mIoPpAjmr6NO3Y3VV9681/PVt2AWYDYnNqxiaho6pax49bVNqt9JkdsuyHe8/lSJbH/HnvjhiTpatOKQ5eRVg+vN2kOobbFMilaIbI2LjOE2AJ+nkq062USPua15fJb7Do8iKZ/ajjQpA38KykWoCT5K6vfcsMfdnCzaW6555lFFTr14LjO9c50u2167FwRXScX0OA8s71qCuo7feRl/tLwAq+iu2p2JBOmpm9N6Ski4oabL5ouUDTDcYlNwEze/pr+zu9cYENYNZ6d90DeUDjEpVCCZfJVMpPlOFKTYKRVZ9Ln+fSvKrOkHTttzNbQm35YdTvk7YmO62BMHvkyCrL10g6ma+dpoaLKuqLaNRS9Xc5D/ZA1GlyGaK/nUczAuAuf+8dq+eNetmMMOmvgmAKV6bhqjBjIcNjz4rKLIhNHc+Lik+rjxea22UpNIT1FIzmNUA5iYosjKDKctl5D0ckxI0XNkPtsLK/OXRWk9JENycjBA29MA4nNQYYVprMjhHYLPcFqUdulZ9DtAUUKlvQXJG+jTHbDtuM3v+77Z/O4CpZibLM5gyY5izcmRLWWpUaX3XRs1gKovbpjKLaiuKan0PVbAhjzNaveP/iMiPa//XajD//1FkHZ8ia1TPYKr3PJcVzs5gfpBtbt6GF9a/EPhMMpTkX2X/ip6uo5nj+E7m1a9dXZHxdrAJ6SG+t/P3AtvTuuZlktYPVBE9ssvomJrFWNdhDFLPrKCkuFbyqD3Sqt3nzWUwJcB8LxIEVXF37hjQdaGMWma9G4SoyvLB5RXUTPU5HnJKjBj+bywWczyz9hnfeY03iH+rOHxVM5jFHH26cIs1TUPXxXmHDDd45V6jmlEc1zz++K1mWsgUQPbTv4PUKIth6xyI+vV0AZEfEACzPDPv2NgueHbUEoH8sBA6gkANpqZ8DmCnKU1Mbal8Vqa1Jvn8niKjEDWl8yPuV0PE/563VqwrExzajISIO5erTvmDKwSlM5JYTbqoivxsoYqsoXm1kVJsYkuAqWqWYxF1T71o5/0ofm4wEBSVz0rK9J+5dEFc/3IlxdEsYureddoSHOxnMG3PaQwZugd0mg1fLEMCzH2ufjqoLqmMG10JDsUcBWCWZTD3nNnCR5fvT32zoDM3EqQNBoSGvCCV7v7fF/kBeH+9opi8hWui2qJm71miDn0wWyQZMTnNFb7JFi1s9zs9VVWteo9GgBmtYqxbtuMBTBtdAEx3fjEpedmYEfccnJAIONhlALPC1GD47afBy9d5L1uSQRGSXMkmoruBBnecbwooTWhMeKBfnKf4bKhKpmebifWBOny13m60foXVgKcEF+WA3VAyU1c31PPr+hTgYLub74/0c+KuBppT5ntpDu+Fw3y3sZ6YFly3JM21N10YVThrNOrrhMbqgb/NmXwOa6MmWQVgDhXEeG2tjfLOpfsCSpsSXUPXtcAcY6x7FR7/jkcnlWt6SzJC93CekmWTLVpBiqwyVqSydktthGQ05IFGS1WRrSLyo2mjZzCLZfdM/tbGmgimrnngvPKibFkGU9bARkxBGVYBpnx+1AymiaUEYavPAWrfVG0L/Pa9Z7Xw2Pm7cvQ2/wGYnyhTHch0USxgMlMosxi5kgCY0plUbdTslgJc16dHF/lQs5bVjlUN6GyuLmxLzXEcerLVKSBbapL2+J8M5hbaKDWYIDLTlmMFwHrWdZ6X9C0hb+X59Vu/DnzmfzKo8I+Yqkr4+3d/X3WfkB7ikCmH8F27ztuW0XRMNwq4fqAyg1kszzBqJdrcyGWgrq0sg+loxYqGxeq1lJn50QCmpyLrUiG/1NpM1r2vg6tfpC8t+iEOGLqf0fvwfvj4MQCWFXxFvlVDqwLHVsfbEEGK7M/fvIbPP/553hhwgwFxty4qXUlZk0uYqiL7Dnl2mzCWTivjZjAFmAq5lB3pvCZGEZAqaOI/gJ3tMB2upxV2F2cPAsw/Cr7wUuUBdvu6AJgRRdhCUmQlwAzFxTb1+ShksFzwEHADSrmqNZhyny0TwhK/IR7Weeare3hiI/XK8IiTD/SgLHdqKiw7APigFfyxFDUj5N1xY7siP1ukIqsETKTwisyYF6wC826cx58/+PMmj2HZFgn31LNW0Re6cGzIDXj7yYxci+LP7lp8BKhUUhzN1L6ZW5bBlJlVx3P0wwrAbNB9gCmd9lzR5sNOH9RpCsA0FHXjhOb/HTI0DlNqY/ec1SIyBG4gaNsWMY7GuCBHBZgSeGsewJT0TQsdm3fWDfo/aAvXRDW48HlXFGooWyQaNrzvzhUtL4Mpv1OIsVQfh+0pZfAWZbZcYyDr33PTsbz2KWmFFWXbDpazOYCpzIvv3QUPXOi9VG91yRI9HyOapEpLgLlpqmdg7Li/V/acBEFN/vSiDo7ddlyAJqzW240GMKttL3ptX0bPYHqmBdfc4exLGFr5Omxzcnsrf6lNEtODtHMpFNOf8TOY5QH62lj16zO1pTLJ8Y/YuXtNA83GLokHW2YwQQRzJOtAtimBYFuf8zvPZcPzP/XEBuX1aXYBZtpto6QCzJLi40qQWBsNkYya3mtrM21KNpXB9FRk3dfyHpqGoO/K2tAK20ybEmk5tzQiGjIIl1FkPTaB8gzr2BTd62K5gZWpLTWMa4h511JTqbNbUNoWDRlVA6SfNPu3A5iqMzeQHwAqH/a8lR8VYI6a3VKykauHqrdggGAGsypFVnkIJF1vVID5D9Zg3rPsHvb4yx681/ve5nfejP2fq8FUnIN/eQ2mu2aVA0xTNwVFVqFFX9bUQF7zadHl4+3/Z93kv9Jsx9lscbq8HocVTd5asZqEbZPRNZ8iWwVgFjwn0qfINnjZHX860zS7AmC21P5zGcxvP/9tnl3zJAA1L/3W257WNXAcjn7kNG6rFYvBkK77FNlbjxf1ecCyor+wb0gH5fflPa0J1TCMQ1q5bisGRc1pn3QMJMB8+y/i3zOegGNvAaqoyBomS3VV6EhjbGMdAA0ukJDOXHyUxValyB5pNNLoiL/HuLWbvWqWIZyASwdh1sHi9YE/gT2+If6OKgBTjmGPIlsjajATCm2smMYqygxmmUlg+vat4l+75AVxtghgSufasRnXEPcymNOb/CxKgnxADbCquIpKZXbBmgoe5DwSNSPklTk8rG0pRdbfZ5x7wyTolZkIqXo+mtmOTci2iNg2WacYdG6yftDj+hPm8uOjFuAo53kKosSjsZqqaBVTKepbkmiV16BkO54CqGloXoa/zlBUYfH/9pUtHUKWkvlW25QoNMWIIdo3vP6tfVh+xQHsMcNVr3ZrFSdFs6z8wYHePFJv97OD/j4Ac8e6Tp4TbFMC0B7XWNvvf79WBWBWa4+i3lfpqA5mi8RChk9bLFqUXOkQ0wOYdiCDqV5vSZEV18FXLD7thlfoHhCMAYMScdMFmMoN6s0MY9mKKFspHxgbYlsZm0TxjVSQ1+PWv0mRJVmDWa0lkGrq+/L3JjSlRZVToiUZRdO0AN1ZbUmRH4XGvqkMJgSzwhJkh5XxFgn7/REBWovpylo7zaEgM+B6kI0hBaIs2/EymOVt3qplMGsiJi3Jymfv3Z53eWzVYxXbq9m+c9rQsHEscb9UgAmCcSFFfiTAVGtcz2tp4lPjOygVxX01VIA5kvdaiSSjppeIVAGmpMQmoyY1UYUiu5kMpr6JDKa8d/K+yYy2oWm0JCMeRdZxHEbUVlIVGcxRxos7pqKmISiySjDBdIIq2SBAZ96VkS256+2eM1t45qt7en1i1QymXubPqxlSWSJQ3u/1k2r/dgCzmgNZDpZkBrMmVBk9Gj2D6W8vdyBV21wGMwAw/8UZzJc2iAzDx/0f/0OfU+0/NZj/6IEtSlTPYEqKrHof34xGeCDhL94yyLB4zGLAz7r/V+yfpTe/2fUm/bn+Te5jOzYvb3i5QkW2mnnXwyqgT9qNeKyJjOaL/KwfrKTIVstgSnnyUHkGU4mM2k6RyWv+ym3h73jbqgLMsuPnrTx3Lb2LZzYIhbf4kP9sj2g6WAXWh/zFZlDXq9Ykrin59608SJApZoiZMVLhWoYMnbTyM6T8ufe7JcAccZ2e+okwXih4yrv6cufLQgxKDxFRFE41NPaeLSg34+vFtZcZzCLV71Ue2wOY4XCSmLuYS4DZU04VA4jWVdmWqtzmifzEoZiGuAIw88NYspas/NQksHvsUvGvVfTO0dkSgCn3cX/LUVuP4xfHb8U5u/l0pLiWY4XSz6yqyI9aQqFkA6V5GcyQQd51bhxN0CtPXTxps6c5TclefGq2qM177mPBQCm4642+md9rORa6VSLuOGTsUlCqX6FZLx6f4Mitx2Ir4z+naUxtqfGUIDdnKj141Gd/pEvQc/HBuGU7AYqsvNYJRRgjruW9LORGWfuVLxElxwOJOL1OjLAyFgM1mKZGyNBpSISDIknyORwJAoh9XjqNW8OXAw7RkNzfzUQ4NjK4Nbc9GmjPoak1w65Vq+lWM9MSJKYLFrGQ4TmWuaKF5Ww6g6lmBYMAMzi/rO4eAIQjHHUnlBHlHNYN9WCrGczbToIrJxJAcuVzZds878/P7zHF+1s69xF3Dpd1tpsTp1Kpo3JO0pVWIEW74LU+UU2lyOZHaU+hinVJU2uqO5UaTTluE0afty0a8VtMAOBk0CsymP61impBgKmCEXm/y5MD5TWYAFOaE1WDtMfdfxznPXVexXbVzjLu47bwd0Rtr2aDHcHUQp7Ij7Qaty6yZDte4EPNYD4bF0E3q+QGKSTArBEZTKmT0J6KefTxoiJS+LX9ZrJgbIptJza4FNkSj3+wkXU94jxsR6NaDWYsrG2CIrupDGaUNX0Zbn91DX/64M/seMuOdMqfU+YvjybcJgW+oiFBkY0oANB0gaLKcjA0P4lQdBkCsqZagnU1g+mUzQlqa5v6uBgH/wGYn1CrBh7KhXtkDWY8VMl/3xKAqTqQ5SAwW/Tf21ybEvnZ0TKV/yjAHK3dyT90DEmR/T9YgylFnf71GcxRajB1g5JdqriWb0Ui3jlI1dFDpx6KhhbIgP+zNpqQzabMcRxOevAkTnvotE3ud8uHt3D6I6eTD72z2SyGJ3pUykO8gXg4QSZQg5nF0DUiSqTRB5hunUTzY/Q6or4x8H2aFWhhUrQLpAbfZ3v9Q29btftcDjrLVV/jyrmkdb0ist9tGiKDqTpnhTQZ5Vktv4fZUpaYGaM2VMOwHgSYT2x4DoBBGViQNZjSDNMDXCV3nPXl+vjByz8A3URdpjRNI+yqzkoHSToFQ4ZOwqq8YQUcH2AaIaKyqbURIWnZ9ESr0HikgExeqU9TKbLSVJGf/EhQHGloA1VOx/0hyq+yLbCL5N19N5vBtErQ9b77QvwWXdc4aP4YxtSI42acCHHyrOhJewt+VZEfTYcZB4q/XYqsanJ8RUK21xvOAS7YcyKHbKJXp7Szd/d7am43Sdz3fea4IjBDwunVM32VH1TMdmwMu0jMdshiB4FCWimXcMexKtCR0zQeO7+y716ulGPejfO4+f2bA9tVp2jU2NKPp4nWKPjO6g7ff9wT71EzWTWm//zGyNNeF0PXfNGWkXyJ/ng3X2tp4uf19Z76KEDU8dfZURV7pSOcV57xwXUk0yvFuVBChm38TKQjKN1Ac9TvmSj2kcEa36qp0QcymIozHw3pHkjPFiyKbmTFUACmWn+oKoxObFTYVsXgd8ZNN8PjlIgaMoPpf29vdijQB5OlD7vXYo1/kFKOR+Mx/h6TVFz/PGa21XL9KdsA8KwbAIm5wQE5djZXchwJiKaIa54PTOiVyss1EZOe4QK/f3YFtu0EaqZVk1k2EM/xGTe+wssr/edmSad//yWdNhbygy87zxS/5fghyZLIVmQwNWXsbTMuuM6rCrEFrZMrXrqiYu2plsGUCtT/jH0jdAvb6x+6Y8QGxyARSnptSqSlYiEGs0UKJYUiW+Vm5QsDQDCDOZgtsrJHrEsdikhTSfFr53akuOecnUlETJciW+T0G1/l2SVu7S/VAWY8oo/ax7RCRdZdk3RNY0xdlJW9Gb5yx9tc+8YfAfjAdMeRFbxn1WowHcfxsuKRKhRZqQCrBtMMbC97XXCzsTLoLR8pXQl2r45YLJg4jnUuXTqpBCTqXRZFeb/XT6r9B2DiU2W9fVwVWdmSQLUtEflR9ylvK6E6l9UWH5U6IYHlvyqDKSd7WWtq2dY/XJMpHbhPSi3glprt2MRc5/tfKfLzvDNCpzuRlKsS14RqGC4MU7JLATr229FwxdgwNIOYGfuXtCkJ/L7LW+GJyzf7GfncLBtctsn9lg2I90t6/6hZjLBXB+hnMDEixM0EWU3zJvTVvRlakxHUpVeT/ccU8Pha9lcAGLoq6mMFFv2CnefG9EfMmzTe2xYYw+41KSgBoIJV4Nq3rg2ce1xx8EZ0LRBYAujXDbHyFUZYbZqsNw3oX0XaKVLjgtNqc0LcjJMMxRnSNfqqZAX7Nr7tnkBj8A3d9ICZGqZYPbwaMr1eOxUQAaZQSDiItl0Q0vKazQ2pJIOGzlEkiJRl2QuKyE9YN4m6z384NZ6m2nF0x6o4QTKDqYKuallND2AmxfxZGIGJuwjgNrQOSwmIBVxHte9mbhCskpLB3Eyt5MPfgPvOxd058JasrxkgQdTJ0jmUYy9X1XN3SatUzSqKDLIZC2QwayImhy0c4wVywiGHdFHWYAbFaDZlM9qSXsYjFjJ497J9+eER8wHIFEVGYXMLuGUV0W1LZDAdC6wiyyMxOg0DRjb6O8q6PeWZyI+iXi5pdle+ciX3LbvP2y6j9ppWvbVWwSqw0TC8+mGVJnzPm8LhVMFX0vTvepw8sZDh1ViVLJtv3/Meuqt6uzwcZA28nVtBctbXQc+MTkeWgeCCwgq5erb3Z5Q8mi6pu24tpmOD+ww1RYUyqDSpDplTvq+av6GeTxBgGl6NXq5oIZOjhjvXiTYt1cd3AIy4a4dXL+aCoWRhIwtWinr4fs1/znuzw9g2Xs089RPFv+teV46Z5/zWZr7Q1uJ9R7qY9nwU2d/xhw8toaMuxvQmMcdL0L059WP1OsjzVucuNKtCGKslGaFzKMd3/vY+z3zcM2oNZm+6wL1vreeax5fSly7w2AddvLjcB5jvbuj1/KCsR4/0mToFW+wbQtz3XrsPx6j03aR9amYw6BZXwMLL2Z9wy4e3sHxweWCfVLUM5mbqL7ekHCBi6qDZOI5Owkx61HpptS7ALNmOxwAK3At3jiwUg0JYMmP+1toBQNQAeyJzVcQrAZIRvwZTlsHYaFX7YMYjjJ7BVPpgPvRuJ/tc/Xfv3Ka21KBhM1NbzYDbwmiJvPzu3DaYKbKse6RqDWa+ZHuU6qipC6EfNYPpyABEMCASjYkvkVTZcoCoZjAfrA1haxqPxQW+eCpygfeeBNXR/2QwP5kmJ/zasB9RHyijN2WtLLlSzgMc1T5fYcpDpe6z8607c87j53ivVQ58VZEfJZv1r67BlCadsKtfu5o9/rJHxaSzKRuttcsn3SzH8u73vyqDaTs2Z7GR22qTGPiS7dIaog305/uxHCtAx15vmmStIM1pQ3oD8VD8X0KRDQDMUg7+/qPNfmZLv1cueg7OqFmMeEhcZy+jaxXADBMLxUnrOqftMMY9T5vpbUnymsauGfd6aEViY/+AbvrnU3JygI1u+AuGhk+RdRydol3gt7mguE7hjs+AzAC5/+Yz3d7z9qcP/sStS2719jcdh0gAYOoVAHPA0HGKGcj0cuC4Mew7rgP6V5JxLJpcqlY5RTZbzBIzo9QaMd6IRrm667mKazbgiggRK8tg6iEPqKkZv4ZoAwyu9YSIxDXRMN0xXrQK1MVDGNj8pKEegHrH4Z4FX+FXnV2cOCjmhLxjUUACzDAxFySH9RBNyTE8uurRCmfJo8PmFDqWWoPpnbu7/MgWJiNdkGwTYHRwbeD3WIe5QD+UCALMTJ+bwZQAczPz0rt3+n+79/Kd7neYd+M83ugVmc1BJ0HU7XO34+RG3rxkH07ecULlsayCAPfRVABMv3vZvvz02K285yxkWoEaTOMfCM69+I29+NMZ26PrGjUR03Oys+6atbkF3LbyGEBcD5HVgGKGQ8c0s/+4MTCsUENLObBtLDWDOQowU4Ok33z2m97cEHOj9qMFlr730vfYe3yHl21WAcMGl2qnZqmaov6zFtfyREyd1tooG4dzvLC8l8c+2IjuivkYXmZN2J8z4l4a0fWj14LLTF8hOLeNaBrLQiYxCuhuRuLgBS18ZvEkkfF3n6H6iM1wruQ7vHYlMKqmFC/P56xdJweyRbGw4Wcwiza5fJBuKmiz/jXpUdQyA/XlLsD0HGNXoKdt2Nde+Kl9kPf3QGY4KPLT4FJe17+hHNP/rhJAMccJ95/AtW+L51IFSEc2riTiAhLNHU+bpciq9bvuvB1oj6RVCmOpAjiFkj0qwFzdm+HcW97gJ49+xE8e9ZXTk1GT9lSUO9Zeyh5/2QPwAWbYHPD2S7sAUyeG5jg8Zn3MssbRA615N/hD7zL4+PGyXpZugL6CIlsp8jOluVIDRLUtCTZrjo2hiyZVyVBtRQ1mKhZiKFukpNRgSv+wMREmJDsrlFyAqQUB5hurB2iqiRANGW42Mqgiq1oyanrgTQY9HLSqfTBjYTbRpsTNYAK/eHKpt113Kf2nGg9zV/QbYIpz/tDLYIrjHf6r59jrqqer1mD2pgteBjMaMoiYRhBgus9isAbTpugO35wLMGXdrXxcNUULQYL2fJV5ae4YsXb+hyL7CTUJHuY3z/e2SUqst08pz3BheNQ2JU+sfoLn1z0ffEPJOJUDlKfXPu39vTHjR42rZjD/P9ZgSpMZzAdXChn9nsyWZzElgPi/RpG1bZtY6F+bwVTplaHyR822qQvX0p/rp2SXSIb9qGda19mY3hjYfauWrUiEEv8jFNnB/OBmaz6kyTHpaGl0TauaUYqawhn0MpilPBhh4qE4GV2nJuR/ZlprnKKmMcNtFq1pRczkhxXH1IwMe8z0s3tfO2A6p+8iQEHMdtCtIeZpwYBRYWAlLHkwsO0H7/yGRTctwnbsiuc45DjegguQqZLBLGkaw6VcsI3ISCdpp0SD+8x0pju55vVrvGuVKWWIdb5PctlTFb9LWr+snSlvgaKbHmVUzfhFjAgMrSOrOHa6phNyneOSVaAmEvLodyBapHToYXbJ5jhrQCzOBcf2VGTDRpio+xtCRshzkn75xi+D5xQTgDVQl7gpiqwEmLkBMKOitnFoXSBrWZxzCHzpLfGfSpHN9ILlA0w73QXv3wt3nF75fXJ/ae5c9vx6MZc/0y0cajuSIqIVMbBoSkaoi4crQYrjiKyrGRGU4FzQcQN/HQiZFrYbpbfQqjaQH83qE2EWl/XMA8i6rJvNFT1YVh7DcYgZETK6RtGtoS5pGgwrWgHFLJSyAVBfzQGCymDTU2ueAiDuOkWjYQnZcmmtKe67msmT9dYFZ4RrQj/jq+atNKgAkxwLxtUxtj7GR53DrOwV82DRdAV/lDpoQnGFkraJjLaawVSe63Namzls7BiiWg7NBZjRCFxy8Gw3gymeoQa3j+ZApijoq+6zkVOuW3mgUNrKHxzINw6YFcgWxUKGB7SyRYtsPsPfEnFPcCZfsgO0vrQirhPoAexmo2WWyKmynvXr/jzy3Ip1vLaqX7kE7h8elTwIGlaHTJxSllXDqzy9CQkwp2jrOG/defCKaGMi25U0bUYoKqpkfEzNpttJBa6jppcC1wpgequ/ZvZnClXFfDrqgv08b33Fp/2GDJ3GmjB9tv87c+41NQyxdreWSgyUBtx3DaKbGE7+MVyA+fNFcPOnAxlMOY+o48J27ABFVrZs2RxFdkQC2U1ZMSMApmNQE66tSCZIimzRcjyRPJk57KiPeetdoSiuh2zj0lwj1vAPO4fpqBN/y7mjNIr/pLaqkaDNxCJVBVxvqgbTU5F1YF5Hnbe9ORlhWkuS2doqIbbnWrecZ9z1drlL65UZzFD9c4SbhWL2I+91ejWYXpsSZb6W2XU1w/hBROctBgDIu1+rAlAgwLiScfBqAbyT3EDmfyiyn1CT4EEFmBDMYvbn+xkpjtAca64QZslbeb705Jc467GzWDOk1ihUz2CW28b0Rq/2rHoNpg8a/xGAuSWqrrIGUwJb+bo7W9nyYDSTmcv/7gxm0Spy5ctX0psdveHzf8X+mQym7disHxm9JY06mVc8aPd9kfp376Yv10fJLlUISi0b8IWYrtj5CuY3zyduxgM1vOX2dvfbrBleM+r70v7RDO1N79/EG11vbH5H8ESALH0YXasOZqNGGcC0ii5FVgDMkEITn9wsqG+1li3E5vTq4/zRC7dmwTjf4Zg9JsHcDvE65RRpyC+ntgzsFjStorVA0X2O+nJ9AdAPYDrBqLoQ+alCubeyDA0pwhCZXrKOTdJ2iNo2D698mOveuY53e94FREYz7ljUjkItAui3siwJh/goXSY4oeteJrCkrFdDhSGYvEfASZvRMAPTpfcV7QLj6mOB2pBtCrbXozL8hVcAN4PpUWTDxNxsSFgPce4iQTUt2SW6M91+VH7qXiILsrMflOhxiiwLlS+67iKqZjdDMSH6k+4OAGbLsQR1r6bZF+kBARhtX+THBvjLSfDuHVsgB1/mLbrHTaSaAUHLbBqtB6Scb42QyLhuQuTHMCwc18Eo6Brh4XXw3l83c26btqxbN6hvBmLaVgEdiIWTZDWd9aqgTXkGs5AOXPPRAGa5YyuzIj5Ftvrn2mPiuq4MiedeBZhvrRlAM4a59K0jWN/4AZ837yUqMwehOCfOjbLD5Eb2mtnK+sEcf3pRsBGKhrjGQ6oSZTTlix9t6vJ4c6mj/A2vudnQqJ72aPbe2FYosnVh8Z39mQIDmaJXO5jGH+fVMpiqBSiypo724d+oDYk6sAf0VXyjpYmVNSKDlitaWLbD2PpYxXEC19z9zsn14jwcq3LO1HTf93huuZhTVkvVZHnOXX4gr1cJbL4ViZAtFSjZJS8wn3JrlSdowcBoR9Lk8sPmcuYukzdxFWCSUkOqY9Pt1JVlMK2yPscwrdVfM7uH81UzmB11sVGBmqlrXJz+gfe6ZJe8DKZuZDAchwnFEv0lMb41zErBsSqWL3s+EgrYkB9X1U2LdjEg2PTAl3bhx0ct2GyLkoBC6mhWzKLrNqCPmsEUANP2MsS9Lu173zltyFhvwXJFfmQfTCVj3uK2/5JzR3EU/0L9jTL4YWgODYlKGBINbYIiq6jHZt0+m4+etytbT6inqSZMQ6pWiO25JgOk5TWYHh267T4iTU+QjJg88WEXuZKFqWuYhi5UZBWl9NAzV4JtBzKM57b7AnY597viZQBxUpN/vUxGz2BG3Wxr+ec/qfZvBzClcz2vaV5ge3/e59zL1gAt8ZYAlRYgr2Qd3+iuTiHZVAZsY2YjE2snYmhGxQQxkBtgSHFUJADdEpGfLclmetEzd1HQ3PPsTneO+hnVHMfxsp//3W1KXut6jZs/uJlLnr9ki/Zf0reE2z+6fYuPr9Zg5ko5fvnmLyv6FZbb9e9cz7537jtqWxoVYGbKez29cTMNls1QYYi8lScRFgvspIK4j/ct/5u3a0NU0CJjZox0aXSq6gkPnMABdx0ACMXX+5ffH3g/XUzzTvc7/zC1etSp7q3b4LKGwNiXwQpHH0bXtKpgVl5nH2DmwQyLDK2uYzh+G4dxja6qmuNgODpahXqfsM88/JkAO6Bkl7wxmrAdSpotVDQVK2raqM3RN2Y2eq1ipIVwmFEockzDVkB1kR+AfrvIugGfNuqke8lgE7dtYo7jXaNO97nL5AaI2Q57p4UTd2jztpw365TgMXWD7zY28PW3f+FnCMvM0jQW181kYu1EIeZw0NVkm6Z572/Xth0ht668ZBX5/B5T0V2n+LN6EzsXih5dMBIV3zFkZf0aTCNMzMtgRti2bVt2bN+RtSNr2fP2Pbni5SvEF8Xq4dzXoX2B990H3PdpDhs7Bva+TLRVWfxlSLaLNyMKkDejnoiKmk0LzKmqKEumN1iDqV6QwujPiti5HGCK3/ZaXGOn8WOJ6YNBdU7X3u99nx+98iNWhEwcPUQxFAsAFO/UXAqbrpe8DCZA4d3b4PZTRGuWf9Iy7tyyJTWYBhCLNZDRNdZklKzl8AZ6dJ2loZA4/0IaS/MpXLnRMphl11U+4zLqPloGs9Wdx1a5gQazjPKoubT3B6WKtpxXWmYTG1oJwN6umu6HncNEKHiZpk41WButQ/Oe602knNR7pvwm2eM1bAzhuM+Ht746tkeRTUmAmS4wmC3yLVOIHvVqvnZDtSCyaipFdkbxfbjtRL5u3Ey2YNHvuG1UOiJomg8wq7YyeOpKttJcuqC7voecIhMa4946HzA9j+xcWKML0LG2370eck4bXA05Mc5UgPmn2iSDbrsoyaiJmAa6Bu16J/uPbec5F6RrVoETd5hQkX0stxlt/hxgYtHn1JBRR3cViqyawewZqQ4wExHDa0NUbiFDZ4fcs97rguXTIzUjTcq2abQsRtz7ML2uzlOE35TlyqirKj1YPlJqkKZgFTANnU/NbuXak7YmFQtx5NZjN9vma0szmLrugKMTNWqqAsxMwSJbtDyK7KcXdTCvI8VW4+sIuc9PtkxFtiER9n6L7JMr5+vMKBRZVexIVU5tSohxHO/ZztsW2QRFVmYwi5bNSL7E7PZaprljQdM09po3gSHZcoUav+FM2XMwlA36A5OaE/RnxBiQGcpyFVlt7cuw5iViYX9sJhSqbV7T0LG96+S1XIpXelHVAGajO1QbE1vWGup/u/3bAUzpqExOTeaYGcdw4TaiYbCaGbt32b0AtMZbqS2jduUVADhSGMECUVNibWEGM7ORtkQbqUiKDekNzLtxHnctFf3GdrltF6577/cVn1HBo2Vb3PLhLaLAvkq2c1Mm6a1y0dPcurPu/k0Lt3jfrWR7/pEM5vLB5Vi2xWsbX9viz5Sb4WY73u5+e4v2P/K+I/nOC9/ZvOgH8F7veyzpX+IBn7d73uY3b/2GS5+/dJOfe9FtXbFuZF3V98sV28qt3hLXcEn/EsJ6mCePfpKbNlSC/XrX2U+EElss8nPSgyfx9We+Hth243s3cvwDx/PgCp8WugWMHyLrqmcv33/qMi5rqMVSqHbdGQGe8s4gmqZVjeBHDFfkR6qtSpGfUJyMpoElesLpGrTViykq6jiEbA3NHK44HogA0a/e/JX3umSXPMGsuGNj65AtG7N5zae42mWT/cb0xopzNx0HHbiodi6m47giP5XP3QAl1g2u9F7P77qfYc0hbkQC/SYlwMzmh4g7DgvzBZ5ZtZZvTjs2QCkN2w79hk6nabB0eDWd57wI570HJyj1hAiRn7ZoI9PqpzFUGOLa927gBkvcj5nhesYlx2G64K1oF1g4ro6z9xSiR7VGVPwWN+hlRFNs17Ydtyy9iw27fBkQAYGw+zw5MpIdb+GjflHX9OTqJyuuhTQZ1HIWfwlmHgD7XFZZgwluBlMADMv06+rUcX/F6vt51JXPJ9sXyGAGxnP5s1IBAqsDzN+Yaxk2dCLhjTTEKzOYN79/M39ccgt319Rw6/BHLHKW0VPFqRp2aWUjhWwAYHrArQqtdkst696nzVJk7RK64xCPN5HVNFa7lzyGAcMbOGTsGD49tl3JYPoO02gAU/4uaZIRE/MostU/J+l2q9wMpqGXux+u4yg/LoFO62xRz+Y4pGIh2tyMyQXm7ZRM8fylnaIvchWt9XtSaptYp9TgUGGEVza8TE7TvDrrceZqbAkw091w99kIFVkx9satvAMQGczB4RFm6oI90qMAzM2xRTRN80Bm1PVBt9E+pHbwQzRLCuSUSMVC5IqCImvoQt33qa/szp9P35anL9gFnrqCuyPfBsAq5vhOYz0rnAKxkIFWFnwecuJoep6WkHjuQoZ4TmZqq+Hl64K0/z4RKOtxAeW+I2mWRMKscK+ryqipiZg0h9ayNhTigYS4Bg9ZA1u0ZqtgUcemhEmfch01rZIiOyYVY3KTmCu6h/NVVWQTEZOIWT1EWo5581aebNFmmwn1TGzVSVk2DcoxpyRTAZbIaFYoZj0mCAC25auJun+o5TPSd/vtyduw75w2QNT/3/jejZv8nnKF8+onkyER0XDQaIzVkSllAn6jpDYP50pewOcnRy/k3nMWEw0Z3jMrkyESOIUM3evx2OiyPOST1j8K8FUpss3agPd3fUzciAvzr3D3WuFLRE2H4Vypqv9W8jKYQiG4JlrGjDHDHkVWt1Nk5Dxf9hyUA9iGRJihbIl8yfb60YZNnRhlz7CmefXmcztqmVD0gWpO14mQ8+ZCX3van4fkvKrOr0trhArzhDqTR87blcVTy8T8PqH2bwcwPel4I8LFO1zMrmN3BaAzU+nYV8tg5pT6k5HiCOe1NLHNxPEVFFnpRJfbxvRGWuOtNEQbPHGMH73yo00CIXVCuHfZvVzx0hXc/P7NgUzUlmQw5UQmHQIpANK9hbRTVbVsSzOYD654kEP/eiinPXwapz50Kq90vrJFnys36aCWK/5uzrZEwOjYvx0LQKxHAO23ut4CKvtWlpsEvaNdi819d70S+TJ1k6ZYEynb4acbg5RlmcGMh+L/cA2mOq7kNbxj6R3etkLZgtk7kufO19aSKWa8z4aqUKwALkoa3FGb5JE1T2LZFvb6NxjIuYII5gi6Vj2CH6jBlM+NKSiyWQ2cUoFY2GBiUwIHt5egbZOkQCj1VuBYpRE/Q9epZOKLdtGrE47bDkXNIUvQ2SxomkdtLIeJXZmuivopSRfShjupsW1X5KdKBtMweGNgSWBbn64Rj9YTU56hDekNooVJts8Tz6mzbeKRWnIuOP5c/yAnDA3TZxj0GmK8PbPuGUiNhWl7B6+FpqHrIWrdWptfvPkLQADU2xt2QdM0dDOC7jj+3GG6WV4z6oKMEZFFNEwu2uEiMqUMf1wmAmC1XUu8+pGSm91tifvqqqoS8mhWVSxKDeKFYn4GM+JTxGS0fqgwxC2D73F+q6BbVtRgqpCrPEOYK3sey1UY3WvS6WYsIloO85aj4I7PiEDIx4+BbXnnktY17h4SNMKNdtAJsWzLe9503cJSFI4HdYN+XSczUrnmbKll3etobI4i69gig5loJaPr9LljKKaHKKS7GXbBTX+2FwppbBdg6Y4zqshP+T2Uz7hK6/q4/2Ne2fBKcF10AX+frvO5P+3KO+99N3hgVyHao0Zm+wENmmdBftCrn62NmYTqn+fNlo/YYPjfmZGfC9d4GcxqjIf97tyPa16/JhBwWNG/lM88cjo/aKj3lJJPCd9LwVXaLfYsgbf+LHZ2AWb90juoIcNI3iI74N/LIUWhdXMUWfD798YNcc7TnRV8ZcXpTLEFM8ayixyovci8rns9gDm1pYbW2ig7PXEUE94IirR9XBrk9tokX6sNkYiYgcbuTrSO+fnfoRl56kMJTMfBcOmyD0W+Dg9cKK5Lwn2+XGDRY4t9FmfFv6+FgmwoEACiRRdr10uxKA7wFb2XEx44YbPXIBExGdcgrquJTQmdPrVmXrMq2pREwzpPXLg7206s5+mPurn7jcpAbzJqVs2ehlKvoMWeCWzLW3lyRYv2uhhpO0sdGg0KJ7bR3Pz8BpArZeH7Hf6GUt5TBzbdkpERJfhczU/4wcs/4Mev/niT37NFwnvFLPWJELtPb2NcnQAtKjBVxZnW9Pn3UtM05nekvDVPqlarasASuDe42TYfYAbPqz/XL0pO1L6tmh9cq4+5dZ0MYbiQLGYKZVtZDxn4SQro700XSEbKAKZmeAAznUn4a7tV4m9v+yVNQ2UU3MZEhKGcqKeWv83UNRJa+RqvEXXH1LSWpKetIO13J8xiq/FBlpGj0Gyz7tqpZjCnjXPbVllFprcmN5u9/qTYvzXABGiMiYduSd+Sin1b4i2kIj6/OmLbdCr1iiPFEZ50I3VOWXsDmXVSbTA/SG+ul3HJcdRF6jyHeKQ4skm6gwoeX+58GRBgI0CRtYp82Pchb3W/Ra6U22S/z2wpS9EqMuDe/e7cpkV+fvv2b7nu7esCQGqL6BnAW90CEMgavs4tpOOWmwqsinaRrkwX33zmm5vN6P1DNZv9K4hpJuvTYhKq1gdVNakKOxptdXMAU6VWqAu1bGIvrS5SJ/YPJSroadICwQblb3URkllnlSZTnqU4589vcOFfn2D7P2/P3R/fDeD1eJImM7ch17n96hs/4YEVDzD8uz2w3AVCM0YERdZ1sBbZ/iLgAczhTp+aFq4hHopT0jQKb/+JraPrmDsm5WdHascyXHYexeHZZNec5r3+oO8D7++SXfIW0gbLIu+UyJYBioKmeeqf5UC7K9MVuCcJPezVTjDcScJ2XIpsHq0sOLQ6ZHJnrtLZScSbAhnMDekN0LeCrOYQV4GCGfG+O+rYNNS0UdI0r8/ls2ufpZrZgGGY1IZrA+2HCroGi1zKrSGUAWWtd9p1dGrCtSKTnB/xMoiTU5NZ2LyQdDFNIpQg3DrHo0vb7vk1x5v93zcKwFTnqb5clb6NAYpszKvJtML+8UaKI3zY9yGLb1ns7xtvFFlAu+Qt1oEMg3SO/36lAInlNUvlQb1SwVM4BYjoaQEq370TljwANx8BL/3Gm4vSuk7RPYZRNt+q89XM9hj1Nf74P7OthV0njGX3x8/4pwXF5LxnlweIsr2c9MBJ3jxrOZbIYEbryWqaEKYCsli8HfWDoCsynVAYoYSgxEccR1zTKkqL5aUdPkVW/MaiZXP4vYfzmUc+A5e3QI+oJ8+7Y6bPMHiu1M+1Q8GMt6a7mgNyThpcI0SUGiaJ1/0rxW92INLyAM+k8nwU8TPMXm/HSI2nXipBqzTHcVg3so7r3rlOBFTc4EaPC/ZXhE2i7j0d0nXy7m8tqtlvJbPeog0wkitSHPBZHKvwRZk2R5EFn0IZ1yoZEwCWVeB71lUcvf5KLMcJtl3pWwErnubm2iQfht12Ra46bhGHeNhAV2ratUgtpy2eyKwxYRJmjBrbRtdzfPfQOf4xM70Qd3+Dm4kbdNf+bXLiHF93x476+xprwiR0MeduNE3mKy2hePdO7vjoDn78yuig6Zmv7gmIvoLjG5OkI8r6q5Uq2s3IzG9TTWTUer26eJjP7TaFyc0JbvvsDgA0MER0zJ301t4RWP8KVoFswSIW0hksZUlpIdoVUFm/GX9AWr7c5yjliLgZsajra42M+OPlkL8eskXHhWDAuJxJUNWKGWzHojYS8XQeVJ9ABe3lWTPT0L0xmC1l0LQg3VdmMxsTYWzH9lgt/VaG9SPr+eErP6RgFdj1tl3Z7bbdvB6PEMxghtzgW4OW9r4v4j631WiyaquevnShMoNZynkA0ykl/YCVXeScP/tsrOFcMUC7bqoJM5wrCYDp3i9N06h167wdRHCMUtYLWliWRU7T6DASXNAmklWzWv1jytulZjDlHPxQTYLfpdzgqtQh2IKA1CfJ/u0BZm24lq1atuKOj+6o2DceivO5+Z8jFUnx9PijOXwkzWoFjKnOvto/L2flqI9UAsyl/aJGYkbDDOqj9QFnSxXaMcscHxUwfNDrO9EBiqxd4Kj7juLEB05k19t25ZC7KyctL3NZyga+r38zWcGfv/FzrnnjmkAGc0v7Z5YDXWeLSJmVplJxBvODfPeF73Lf8vt4acNLVfeXdNfe3JYDzBFdJ6lknqs6w4rJvpbrR9ZXzUBvjiK7OJtjz7YdAVccxz1GvRKhu3afaz1AlgqnGJRqoqoV0qSV+6HWIqq1xdVUi8t73XUN5zAiwtl6YvUTQGX96JmPnAmAoXx2pDjCoAu47XwTmpHHpkDezeycRp23b8xwazDfuhXkYhdOkHQpWzfV1pJrvpaLD5ohosFANJwgW0ap04wMo01hJbvExsxGatFJ2TZ5TfOpMq79qi5FKSuuT/kytjGz0btef9jvD7SGanwF2ZFOam2bAV2HbB/q8tYequW6uhRpzeFkUoFjxkMJYrq/yG5Mb8QeWk9W14mlFGfMjLLX+L0A2DWTo378zt5bTZF6XtzwInkrz43v3egpc4IQWTD1kKeGHLDm6eJfI4SJL2aUdinNiXCtyFxkegI9K6fUiZYFdZE62PNb6HMOF9/lCpV11PiR+mptncCnTcMWAMxQFGYeSJ+uc4ftj910Me31WPW/sMEDmNKJCNS1FDM8tOIh9lhxM28tva9KTaZbT+5Itc08DyR8h/LAecp5uVRBBtZ44C6jaZRkS4WyumbViSs5BQxTI+EOn/VuDWLWLvDcusqWNFtiWRfAlrsj9yy7hze73+Sm928ClAxmOImtaTzh9l7L2kU+1+oHB1Ysf9TLYBqOQ1QCzCqByooMZimYwSyW92r88G/ufuJZfj8SpB0frj/DOeZfibrgpCDVhQdWkw5FWC8FfNxndVprDE0R+2qJiSx6WjY7n7gLmrteaGWKvQHAV8x5fWXzbjAw5OBRZId0nZyk7aq/Wfef+Fatn5F8CWtIAIa1R97PKvxWQvkNQcZFNdvJfoNd9LdJaMFggwzmBEtkHBJk/R6VpSxO9xKubKznqA5R05z2AmMOMVP3smYARGr49sFz0Iw8iVCChO2g6zl2mKyAi9wAJFyA6QLstFNEA8YuOp16PewBzGwpC0sfg0tT/HLfWpLh6vV3hTs+w2UvXMaN79/IyAd/q7qP/7stprfXEW6q87ZpmkWoLBMpszybUqitj4eY2lLDExfszlbj60mS4fXo57z3v97s/+68lSdXsoiFDAacAikjypSw78eZo7DSyi03vIHbkjW8KgM4SgZT2nDZM7SlugiBIP8WifxkKNkldF33AoDq87v37Ba+e9hc3r1sX05bPKny++Q1zi8hogf9AK8GsyYcKJnqt3Lse+e+3PT+TXzY5wtFtbr17Do2zfowv0w18Uo0QkdKzAe647OEIm6wqTzLCMEM5kAmKJAkdsgyaOhoDjhWwgsel4rB5+uN1QN+ax7EWLFsh750IXC/JrrY78+1New2YSxrhtf5glNucLMtVEMqJHbMKX6f13O+CsAE+HWd6yPIRNa/qEXe/xb7twSYGpqn5ApwyJRDKmoKXz3xVQDmNc/j2WOfpcHRGV8MDnY1gvT88DIeXfUoICJhteHaCpGQJf0iSzq9frqXlZK2anCV93fUcQLZLXWBkdmyTDHIpb/u7eu8v7OlrJeFK//tIBwCWTcYchyGt2SiIlh3qTqNm7JyitA/295EzQgM5AY8enGkvG2Da3Iy/UcymMO6Rq1Cb9ociJYZzKtfu7pqvcRQYQjTgbP6BzmeyjYNOnDiRCHKM5Af8ARnGiz/Gu00Zifv79pIragTKa/3umIM6d/u5r2U0vHgq7pCpfgAVBaahwzdi/rLIEx2lMVvnVJX5jgOT7p1cXpeUnH6vfsfVp43ec9CDkoGM05rQgh4/KyhjledYdZllzDsUlgToaCi66KWRXx352/zty/uzC0H3sJpc08LvF+0CnRlumix/WxMVtMC17bXNHgusxbLtipqazLFDLlSjtZ4K1u3bk27mXQdTw2GO2kvleg0DfjooQBs3bNNRMl3zGbZPj42cMy4EQtkxTcMriDnCkTFEz7VFDPCwpaFvLP3jUw7/HrqUxO8t46efBCZUoa7lt7Fj1/9MZ999LPi9yKyd4Ye9mj/VU0XdTVy7hjJCsCXSLQAjsg2RX1gLDOUteFaMMMYE0QG0WqcKn5n+47evhXjUv5OZTxKgNmZ7vRb8aiZATMGMw/mislzA8cYLgx7qtfgKmDH6kQGupT3AGZO1/37Ucjw0MqHALc1RkUGU4xfOUaHCyNcW5ci4QZAxtYrd1b2TAxFyfSKjNyb0Qgr827/VCf4jKjMioJVIIfFOLtyuf1HFLxVy7qgrjxkJINe0hG1HAtdM7xna52i5Jt3naSw7bByZB2sfgELQbuNOI7I7lSJqKvslWQ46YE2X1q/bI7vFDV48jpLp7XGXeOuDv+aC82/UK+7wR45J61/g5Obkuz7wtfcHz0AwDmfCmZaxibFczai6zwej7H1B9ewLOyC2DKKbEDkpJT1gJScZ16KRfnY/eyQoZNz17wAwFREtjqMAYbzJTR3LCeaxjGs+QB64OVfwbt3sSk7V7uVc827iLrhghLwl2SNV8KSUdb5Z5b2cPTIn+C6PWD1SxzQ3siVtX5g56V91zDiUvttNGrDDnGU5zLsZ7FqQgnijg16gcnlSqtxFyS7z0zGsYhjoB3wQ1pCtV7NeraUhQ+EZsW4P+2C5lT3JV5Q+pS+dN8ZXPT4ubzfnrOstwAAe5RJREFU+37Ffk9/ZXfG1kVAN+g3FOCglYiXBmHls9x59k5cfOAs761qQlzS6pQa6rCpe+IyuhtEeDyh1MuW8mTyFrGwyaBjUWfGmBRv8w9m+L7Bpqzf0Lm8qYHT2sUzRynn1fTJKWykLPs4oKzTqpUHrtWyjS3qX17MYDkWhmZUBZgR0+Ckcb3UfFwd9Ev/IEYXJ+uPBN5TBX9k8iFp2d4zA0EQLPve1jOM7lj8piHOZ9pbmdYs7p+GQ4NloTkOeVv4XusGsp7wkveT3ABWfPJVxCf8ipqI0u7s2Z9CfoghXSfhaDh2iKKuYQOPvFOpsK9ScGui4vd0Def9+wUsaBHHf9INzq1Jr0Mmfm23PCOqmcTc6xsAmO7tK1ahyAKkbIsbUknWyeBJFU2HT7L92wHMglUgakZ9jrPj8Okph3HU9KP4/ILPc92nruOOg++orKG0CowvlkWplYj4uRse4fynzgfcGkwzQqKMs798YDmpSIrmWHMFwFw26EfnGyyLOmsUgOlODuli2hMHAhG5LreHVz7Mq52veq9lpDln5bz2GjPzBdZku7eoNlI6LaZu0pvr3SIBnXKK0D/bx1F1Xvvz/aweFo75aG07PIC5mQymmtUb1nVSSoapJ9sjlHMdh2UDyyp+r0pve3jlwxXHHioMUevAOQODfMOpzGgDNLljpC/X5xWhj9IYwRsz5UpwAJmsnxlSM6dqzWpubWW2t5wiaxoamiGu6SOrHuGKl64gW4Xm1ZPtoV9z+Gy/OJdHVz3KjxvFb4wUxHkOFPq8+x9V6ji9NiWOA7KdR7iGtoSymANPfngHgy4gqVdqoe9c9A1unHoiR46pZ25HirlNc1nQtCDw2VIxTVemi1bL9gGmrnHE8Ai3ZXxnJ1scrtpKJWtlyZayXlbuwsZtuainH2o7YHgDY0ol1pkmpffvoaRpNBhxbj3oVk7b7gJOHcnzo64eEjWtgWPGzRhR18HTHYcBK0fvQ18FIFbTrtwE9/w6FsHsQ6lP+lnCA8ftTVOsiSteusLb9vDKh1k0aTxZXccwQsxpnOOJl1UzE/9ZTrvjIyG/o/uDIMB0W0vISKwMmtnu65AR4urdrwbEeH9pw0uBZ/XlDS9z+YuXe68lwNznjn3Y+469mXfjPC+bKg4o6j8HmmcEzjldTAfGck24RpxnTtTmqYESb0wX0x6IdSAovAHe6i/H6NPZtawLmXx1ngDtGRWQyr81g7TrHPYr9X9Ze/QMZt7K02sXaa6y3Pb/k22XMu4557XgnCQDpzIYaDs2hm6w/6T9mUJ1R7zdKrHBNKB/lQCYmk7UFs/Mz976FX/9+K/evssGltGT7WFC7QTeOeUdWuOtHnCUwhZayHeWiwA9grmTL6tTbbSCjuNUQ6i357G5dtxMBnWNj0w53vDqpXuHguUsEmCmNd0Tl+l0MxBf2mdiYN+AU17MeVTQgZd/XXFdBnWdjLs+lNR1ppSFb6wFYJw5SGRoJZ9afiUA8YY23tFEPZXpOCwPheD1P1YcW7U2ekiSpSEknoNXoxG+29TA027AbkRZMzVs8iPu9X3s26wJhfhTyg++tT79NYbdQLIDLB78G/WaMo5dtkC6mCYeqiFp29hmJpDJET8kSJHNOBZxV3MgYarzZxbijTjADakkH7k03cu7g+P6TYWOfX9NgnvXPun5S6pNaEzwRsRmXuY13rHTnqIvWonZT50FfziQrdvDnKG0PWmqiTBNW8s1oZ9z12e3DhyvLhYEhTGXhlzN8e3JpClYNg01OjkNUqEkMXUOVwDmLzu7uKC3EhSaaDyvgGkASnlFaEhc55F8GcB8+ddYf/08r298PbC9PGin+iujMqysIo/GY1xVXwfFLJZjYepmVYosIIIVt59SeRx8wa1HEnHioeA9neEKM9VGQ17ioKnsma5G423WBgNBWdud/w2E79NiWQyWRODtlN+/zJduDYoMltzAlBHpxoivJhk1hZ/20rXw2LfhndsZ0nWSNuCIe1bQNDYObLpmNRoWx+0ezgf6XI6tCWZus4W0J1Dm2BZZXSOih4i6PmdWqXGVv7Ng+c9wRlmruk2TnzTUc82QG2z5F/Vg/99i/3YAM2/lCRuKC3/vOeh3nMolO17C2QvPZof2HZjRMKPyg1aB8UptXFgP06VQEaWli2kKVoGIq4rpfdy26Mn20BxrRtM0T7hFmmyNApCy7MADKAGm7dheROieZfdstp7xwqcv5LSHT+P6d67n0L8eykpX6j1byrJ+ZD2aA9OKRYatLJ95+DNVxWrUCU5OaK3xVrKlrAcWX9zwIvNunBfoJSqtnJa5RbSOKqZmBFRHczTAKtUuN5fBVDMIw7pOrSvsY2gG2VKWdDHNr9/6NYfdcxh/Wx6M8qkTdU24smdVb7bXFwlQ6/+U7HSz2zYiW8putm+frAc+9aFTK65jWnEQ1GuiZjCzVURFXokGnU5D19EM/9i3fHhLVdnxj/qEcug495lQabmJgrgWI6UBz/mMWEUSts12etIDbSaOqGsDCCdoU6LFzaUSS9+7jX53zNXF/Odl+p1nw5+OFI2s3SBPk3SIXPu470Pe632P1lKRmBnHcmsYY7bDrJEBb79O93ktt2wxS66U8+jJU4048woFaJoKjs2YkkVW1+lyHYfTWndiTuMcWmvGcMGUI0mFkljNMwPHjIdi7Fszmb3TGU4bFI7uh262pF4Ry6EsuFVXO877u6N5LnObgtm97734Pf+jrhMkgWE1CzkaJcfiydVPcp8lxkdNyv0OxxaZQdekiI+kcElhK5XNsPeEvTl+5vGsG1nHGY+cwRkPn+G9d/ojp/Ox0tP1shcuq4i8y2dwUNdZ6b5nl9Gyr3n9msAcWRNSAGa6m4LpO38bTIMeXYdC2huXg4buicR45s53co7a6AqZzGkWwYq0qtLo1v/d8Pa1dJqVjcHzdilQ06nWZResAhudAi1amLM69uSQxoVc0tNLjW3Tv+qZimNtiWUlG6WM9i0DAH4G08bQDEzdZIZROUedNDhEmx4Vv6l/JZamoWsGMccho+v8bsktfOu5b9GT7eGLj3+Rw+45jCfXPOmNi6gRJWtleWzVY/z0wzMwa9/AiPhzQVrXPWCYH8V5WmILgDjR8DMMvzAz/LjBD8oN63699NqNbwY+7wHMA39Eduw2wYNvJoP59zDcU5NgbXmPVkStaMYF8MVSDmTmId0jgFo4yQHas+yx/AvMmzSe5SGTSDjCZ/cS4Gd+Ps/yUIi/p1dzxiNnVA/IFrM0asPUaFna4mLMd7nja4P774gSvBhDL6ar4GqvfoFqNmz7NWOHd/4MB3gsHhM5lEgNjuMwUhyhJlzL1rk86Vh/5TrpZTDdgDY2CTd4UWP4GdOCXcACugyDnzTU84v6OgC2DQezzG9GIswyU0wtFHjLpUhrUHXNu8V19N8t9tPqBiY1PU+833XCJV3dtYn2Gh6NfJVDjBdYFO3kxW/sRdjU+Wv4Yha+/Z3AvglylPCz6Kp1Dol1r8EFFIlwLURT/LKzixs2bARF9G+XbI5ThyrBU1wzvQw4wO7jOgI1mPJbh8s0LAZe+iW/Wfk3TnnoFN7setPbPly2ZquMsFEZVsUs57c284e6WpxCGssePYO5OStoGjPzBbK6zoZI0Jf78dELuPakrRlbH/PWg3KAqY4r+9IUEQrUkvay8wCOO1fJWFlHqUR/yf9tD7+3kXfXDbL9FY/ROZgL1GCCUC++7IXLmP+xz+JbZ5p0FLM0uxn1V6MRQlT6t6fuNNH7OxoR5z6cKxFR6NgJLc95za285AYOegsDfj2wJSiyET1E1NUMyFVR9y0o60FG12gtlTh6ne/vNMmE038A5ifbTN0M1kd2L/HrGTZlpTzjFIpsW6KND/srhYHWDq/1VGRV0Yu8lWcgP+CJ/9QpdU6A13QdIGnbXp0OCOeuYBUYLgx7mQQ1erU5tdOfvv5Tlg8u98CipMg2owcog9UUWlXQ2JXpAgTABJ8me/071wPwfp9PeenJ9rDrrbt6gjDStlQcqNxUoKtOrKNNlvmM2Oet7jc3eVz1WCO6juE6AbJP6qqhVV7bGrW9BwR/i3S8VetMd9Iq/WSVGqxMQAn3EZzfNN9v3o4QlBpTRsmWGcx1I+sqMqYZpT5RzWxf/NzFPjVaq3zcv9/UIEaU+7tNvbIVSNad9Foc/zfKjHudZRPRjEAgoa4gI+/9XtYimk/z4qq1XN8zTFS2KVHXiXAiIKg1L1/g2XiMq9/+NWHbIRap43vdvXy5rYz+6SqFyjosabevFPcqXiywKFTnbY8bETQl29vpVKEcI7JaWcvPYArqigbbCvAkhZhWuC0XVAow+10B31jD/IWnMadhtre5LVLPXk0Lubqrh51dNUZZj9agiOVQRvtubhRA9cT6BRhmmEkpUSszJiEyJWqdrelm4Hcftzu7j9udo6Yfxc/2+FngeLIG89wnz+VJU4zLRN1Ef4cqGUxZp7jn+D2ZWDuR0+YEKclqO6e3e96u+lwualkEwAPLHwhs78p0wWkPcurYcRz81g891oBqw8Vhbl1yq/da13QfYI5sJK9kVU5ub2WPCWOx8yPenDak61AeYHGdNZnBlN/YmOxAdxwyhSHeC4dZEgpBl6h9/0lDdSZCTnMCz6/8/alIiuHiMH2aTWuohnP2/hnfO+gmjhpOU29ZXv37vBvn8YOX3abvG9+DzdTu9bvnXNK0QNlBfuM7ABRdGq+Ng+5S+ZNmMLOy0NL5at8AbalJbgZzBZZbo9tRKnn9KkEEmp5a+5T3+oy54jmImlHypTzPrHuGrtwazJoP2L7DZ8OMKMAwV5blHdF0whQpudWGLeEgMyOtzGndkSQ8eTnceSa9Xe+iOw4Rd6yPrXEBZqyWjCoMA+TLWsEE6uLtEl9Iv8fFzY38MVVLua0z1TU4By3uszwi1kFSHUyzV/JEXFz/2xaJ2nRbyxFCZ2a+yLJwiPNiBV7a8BL9950Dy58SvYP73GDJoGBw1JKh1hDXp9vl30kQNKJch+eiX2KSIdasTBWQtDQUYsSlKEsBqBdiUc5rbebn9SnI9lOwC5TsEjWRJPumM9g4PLukjMYbTgi6urtWpbGJu35GTZmYVzbTK8aPYonPBgMnr8aizM9lmWT5AHrtyDpe/f3uFb9hQMnKTykUmVgoEkq9iS2/t/fjwP47PXyA/8Iu0ZaKEjF0FurLaVnyp+B5ablAMFa1rhGxntdG3ZriSC2M255dszkhbmSEOHyqqEGXR/jxxm4ua/fVvCN6MFDRaxrcufpRpNCpfFJHytacfl33eoeqHQ2Gf7WdqI12A9QqRbYn08Xz658Ptivp+hBe+o33cunIOnpzveiaX4M5qg9WJQCS1zTa3bUuawSDfrXREPdvvIL5f5zPTreIUp6WMoCptnDLaBrHz4C4lguMXcudF+QoH1sssbHQw1m7iUDNuIYYj7y/kY1Ded7fMEjRsgOK1cmoyZ1LRcsux/1vRSTClGKReYig1dltLQyFKplYlxzsU61Ns0Ck/Q60cDfxsE7BEs+JVkjzmFLn25sfZG6HWCOP22aMoMjqIWIuyyqrBP/lJc0r9zuj64RDCR4cOp7vupl+W2bH/yPy88m2r277Ve47/D5/Q24IhtZvnvtsFQJiHoEsqGK/ePMXrBleIzKYpr/YvdX9Fv35fg/closAyZpC8GtTAGY3zua59c+x9c1bByL4qj10xEMktqABsLQP+j7giTVPMJkwSeW7qmUgVedVAkwZvZbgTDqDao3USxteoj/fX9E+ZYt6N1WxbCnrAZB1w8qkNUoGM+c6ey93vsKqoVUV71u2RckuBX5zSdOw3Ujctm3bArB0YKkH5l/c8OKoCq3VookbMxtpkxQftcZXaZegWXnuP/x+rt3n2kA094VVa/nb2mAdrQrAyqm/aWXCfnXjq4H3pDjKaG0H1puG991VAaZdYEEuz5cK/hMgj5m0baLogUxwo7tf1urzazAH3HswuJqoCwpD6oIWrglIc6tKugnHRoumOGQkzempecGTdyfuphd+QzXbKz3CwpgiRBOtA7vESyvXMLFQpJOSFyhpV74zV8qRLWU9Oi+lnKCuTt07cH6faxPPQqRKbXHUjHLTgTd7r8fFW72aL/ld70qAqdKDy4BANFrLi8e/yFcPFsItE5KiJnN6/XSv5k6a4c5L8VCcn+/5cy7Z8RL2HL9nYJ8QGiXFyQijk0xNBBkkUQCmZFpI+nJ9tJ77Dr+PyXU+RQ3wBJqkrRhcwd/X/j2w7fKdBVVW1qpL6852w4Sd+Njwg2ejqau2xFvYfdzuIqARrRPZsZEuCqGId66DLnV1Q7bLm38GdcMHBtKUmnTVErF64o5DJj/EsR1tHDm2HXqWbFKeLKdp2MUsd3x0B5lixmNc1EfqPSerNRwUfaq3bPrtgvdb//TBnxjIDWD9eie4dhN1tMCA418fVUgt4/akfXfwY/pyfW4GU4yRpJt5kou+FDRrjzfTYxgUixksI4wOTC8UvH6VQEBP4MpdrmSnDuFQRswIuVLOY9PMbrPptN/1hOr2H9dBf3GE9UNrWGdlAorLaV2jjhGibiOBXBlV3VD2PbytjjcjYXjnL/SueYF6y/aA87ikyL6ni+kKVfFcWW2bKpK2OVmV9QpoKlkFGOc2gp/g1sVvdSLgi3YkXcZCupimxggzvlQUgT8p7vTuX+CPh4q14APXBxkSVNsasmhutrDbCD7T5YBoYXIIascGgKe0T49tZ9jdLrNEkjL+YLIWZh3irVvxSIrJhSI6sPqpspYxptuPtpAGxyGjCSVtgJoyNdVcro/1ZVn9WBXF1QX965mY6AhsOy08BNcsCgRg+5Wf29gylyOH0xixtayWwYMygBkwt7d3uqAEZ5V2RXFyZKoEWgF6RsR1SZpiboyHkzD7EJh9qNhBD/Gdxd/hnY4jxWszyr6ZLJ9+3u9dHtEr/cJLl/yR2bNepaMu5qlUl4O8P6WSvOOyiTqVvtLDugb5YRb8cQEXPXuRt542WBYfDyzjrEfP4hvPfMM/0H3n4jzpM1qOWCOAl6mbJN4RQpaZ9Ch13+UaDVaJoqZ5VPa2xspExpNrngy87igLiq8dXuv9PaLrfHNxLT87fGpAsE9qQ0jW2dhSie7CEBd8agqn7zyJnuECL68Q/s6GwRwl2/F6bwK0p/yMelbT6DYMhjVoL0VowfdlIq19/OaErfjjibMYq4m1QF1nlo+8RbjuVWqmXMW7XM7WN2/N2Y+dXdHuqje9keYPb2Ll9w9g5ykNoneuHvLKX/rz/QpLxy3DsPO0uLXZfYZBWNOZOradw0bStJRKpOUk8R+Rn/9jlhsEHG+iH9Xcgbi9m3nodsHWkWU0iafWPAUIAKpmMD/76GdZMbhi1AwmwNQ6IZwxP1/g9xs2cvH2F3u8eYDXu4KZ1q1bt+a5456jJd7CnFHqa6qZbOHwNa0pADBVMClNBWCSbtYUc+tW3Oi7p5SlgKjR+oD+swAzU8yQCqeIm3HWjvj3qjvTzV8//qsHcp9f/zxPrn6SLqfAzhkBPtQ6VGmH3XMYR//t6ApVVtul5MxsmEnEiPB299tkS1lmNcyiaBdZOrDU23ekOMJe4/di546dK8Q68laevlwfbdUymFnlOpcKjK8dLyi2ymQXcv9TLaU4qD9/4+eibtY930wVZ2O3sUL4R0525fWWf5gg6KlLwmFvcTEMaIssDeyXsYvEHZuDezdy10FikZLBjlrbJlY2jdQ5BaxcG8PmGx44jzoOTNoN0IisfxMoU0t2HZLv7fw9fjLnLNpKilCArvsy3mW1K1J8JfTcT2kqBUHeF2afxja5PEZtG7u4YyEbE9cw7jiMKZVYqUOnK0Jz9JC/6GeL6QBFllJeZBZdhdYxZd8VnrgL1UxlF9QaMQ9gtpQsTMfh9ag4fmO9AtjKHEwQNcUSgHe49ZJzm+YypmZMYL94Fap2uZk4FBWwVWtEMcyQL16iAMz2mna+v8v3uXKXKzd5zAaFwgxwxUtX8IXHvxDY1p5ox9RMr9XST/f4KVApGLZyaOWotdN1kTrG1oylN9fL+QOviqxh/0ryRoiOmo5A0GKpIi40aOgwUlbSUAr2BQahZBg1osQdSJc5gSqtK2wH4WZe03lj6d+47IXLeGzlo54T3xBt8GiZLdEgjbvetukvjdD/6EXetl1u24U/poJgXTXHcZh34zxWKQAzp0bHXWrxcivNZx/5LBYOuqQ2uuuRnJJaTDFW2kyhMNttGiKD6ThMKwThl6oGuV37dt7fUSNKzvIBZri0ji7TZF7ed5RejUbY926RZVIpdDldp04bIOLSWLNlQKo8HHZvTQISzfQZOg2OL9QnKbI/efUngYwJQL5svVEpstUAmmoqaMpoGq/UNsB578Pel4qN25/NDY0XeHNvXSzO3Uvv5rYltxE34zS6Ogqauz6qNNy7Vz7Eyo1veRlMXXPgpV9DvNHLYEobLjtPfWQDpMaOmomTv2uo7N8NhsbzHXNED1CgJlJPCGgrlgLiT4CY6yI1ogYz3U1G00joYk1XfRKAbG6A9Q2+EJmh6VVZVfNyBSZN3qdi++vptcy7aaEXkOpXfm59OMnirBjfJ6Qc0fe0V6HIlq8H7tpqqtdMYQMcMisVyIyr1p1Oo2sQdmtWE2H3OUy69fHS+d/uszB1H/FvmcXLgoPSXu55mOe+vqcHMCXAunm9eG7kOgCwbo2f/R3SdTYMrgRED3TJtugolii4wTO1BIGaFu9+q6ZrOvEP7gdgpKeSefeLuhRvbQjqcNilLCVN88Zxfe3mNTfKM5iqrzai64SG15IyCoGxu25kPZrjeEHXjpKFg8P6kfW0p6JkixYvLhd+xIT3fkX98FJak/716qjzAeZxY9p4KSbGacqqpd3xg/mvOD0sHLqVXf5+As9GvgwEg3OG4f/dVxIB9Bc3vIhTVo7U2/cR3H8BK1Y9jWXlRQbTCBFzWTzfXH67105r1+nNGFjk7CKTwvVM08UcHMbgqhOFOnzcdkjLVkJbqCb8SbH/AExJoRlYven9XOf/mo3d3LS+k51aRDH55wb8AazWPemaXrWPoqQ5NkQaKt47efbJ/H7soZw0NMy2uTzHzDwmMFFf/ZoQ05B0zGl104S6I3Axo9dcSeAK/uKgoTFJj5FUHKWB/AB9uT4ufvZiBvODFO0iZz12lve+zGDK3qESYEr6hprRGw1I/lcosvFQnPpofcCJuPmDm/nWc9/i/b73eaXzFc569CzOffJcQETha8047/S8U3G8lUMrWdq/lNWuiueZscnctL7To2uE9BCTU5M98aNdxgoA8V7ve4CgLQ/mB5mcmsz85vn05fp4aMVDfO6xz1G0i564SJsUa1IzmDKbB8GIlV1lclEoE+VBiWfWPQPFNBc3NXCxIrcuTWadJC0sW+aPzDKSaI4j6gClAJT+Mb3hYBQy65SI2Q5afogp2WHCethruVNr20RlfZ7j8MLKNdRqGUrDc7HM9fzktZ8Aoq6Y5pkw99PEVj0PlAFot37hkCmHsM8251A7aXfvraKmue9rviiQ92bGA++PrlnHo6vX0eouVBM63ZY+yXbO7xsQNaC1/rOwtx1hWTjEdW//FoDDh0f4/YaNHDE8Qs5VkfUoslY+QF2tLesPGBmlB2TABlZ54hkhxPgsaBq6ppNqmQOfexYuqFz8y22H9h24du9rOX3e6RXPWY2S5R7NQpbl9wYDEvI31rl1mGXj7KDJB3nP/Gg2q2FW4LVK+Zdm6qYHiFtiLewxbg9MzeSG927g84993pubVgyuGLW+6KP+j7x78mh6pXDdB9cwpGukIqmAcMzSnA+iB3UdZ2Qj1zTUs0w601YeHIe8ouCdcBw0TSOOxkAZO0IFJKGyfGZO03j3USHYtHHVU95cKINxAC1qlvq896kzYnxopVn7RlCB+s2IO86q9KBURTNktiDtBgELVoFlShutJf1LsB0HwwViSXeM7hpu5sx5Z3JBmwhANbvX8/pULet0IbYxtQxgvtfznvd3Y9QfC1EzKjKYrmjchpI4vzEl/9w3KEAtXAYbU0Y/MVc9NVsWAOtRRJQAPg6HYMqe9BkGjZrJdftcx3Ezj/POp2AXKup7cx8/Cq/+XmTiuj5kUMlolgO3cpNKqYbj8Fw8xmdW/IVXsut5ct2zIqBpmLzZfDDPOEKzQddLXPL8JYAA83VlzrbMiBaAS0prOOXBk2CwLLBdzNFTRjetAAyODanqGUx1/7yuk9fE2Jf2ree/5dEJE9EUoNFRKrEuUQeffco/iBmFcFJctxsOIK1rxFy/o8YFmjLDfH+xm2dN/37HzHhFo3jTcZhQKrFg5uEV53vKGFFy89eP/yp0JpSPtkQameyKK6Z1jXuSCdFKSVrPR8GDuQDzrrOFurUF3LvsPpb0LeGRx7/ODo2rBG27iq0dGKKxJkLeDTrHJe1fCv3IAFVtO5x4ByT953lxJstulsk4N4iUKrv3MjhfKJs3phWKgY4BAOuGfF/0nLYWnnFbUTVE6sgsexwQWT5pKnMMzRCK2WU2/PFj6Mk2ErZNWpnvQGTyr61PceJTXwxsL7jAKubYJGyboXWvwIs+U6haRwBTKRWqtR0+6vfvz/KQyZeW3cLqkfWBLPKa9HraLMsTN5Tz2rq+Jcx0/GBClDw7r/4Nl/ReQK72r972llo/m7k8HOKbzU0kMZiZGE87A957z8Vj7PPxDdD1vnu8TMAfzVrVfdO+Mp+1yzD4c7KGQ57+Ivc9cDZ5XSeih4kqQoQggoHf//Q8nj57FllNIxauYduIYDyFHJvmOrHeJRzbV4r+D0X2/4h1fwQrnvEodgxUShgHzI12xx2HhfkCl837HA/u9duAQ6M6Ez3ZnqqNxzeVwRybHMu2obrATakWCZTUW7UH3SRMrt3QVbHvPhP24fp9r/deb9MmRBAM3cDACWYwc/3c+uGt3LPsHna+dWf+suQvgWPJTIOkopVnMFWAqS70skYGBPCUNaX/iElFz1QkFaBdSMsUMwEnCMS9mpfoqAowpf3hvT9gaAZfDHewMF/gIEdc2+kN02mON3vCSAuaF5CKpHi7W0juX/XaVd5+krL4lb9/hefWPceimxZx2QuXATBGFqSrFGxXMERsVyYUKwjsgECEVmaF95u4H+DSOwoZ7klWz1rJWlkvg4lGUlEnjtsWswoFUfvhqiRmjI/QHCeQXcw6FjE3mquveo72mnbP0a21bWJuFrHBsqhxHJJkKPQp7VXk4mFGYNwORGXWMUCRDT4rU8uoVBhhkeWscMiy0CuijSbQZlnMyotr3fquq6ycbGNqsciLq9Yyrd0XATky0s74YpEP+pcQchzqbZttc3mSlk3WypErZohteFs4WaUgwCx3Uar2J3WtIVLHYq0GFp0CCT8QNHfeSYAIOumaDm3zAk7Lpmynjp0wdZNv7/htry4IoCZSu4lPCTMdmz7FeT9vpqD60TjN3bL5SHW5Tayd6P1dH6kftd/t+FrR77O9ph1d02mINtCZ7uSZdc94tbCPrX4sEFn+5vbf5NIdL+WU2afw3cXfDfTb7HXbkvQ4JRqjjVzQN+C9t7QgnM16y2JI1+lPb+S6VJLDxrpZX8cGu0RWeR7jrtOUQGe1kiW0j/pDwDEt7x+b0zTedunOGweWky6m0YEJq332xBhFrIlUBx3uenFRWXDIe0JVpoNrKvCe6Dreg5keuPeLfO72A3gmHXQeLcfyM5jyGXYczl10LsldvwZ7fZvamYcB8JfaJKso0GSLGkzVJEPjS4u+FAAPUSNKb67XU7XtcyPxYww/uKqqaja7omcTXQCb1PsFRTY1nqymBb53eSi49i0Jh3HGbU+vodPgwJymOXxz+29WgBnVPgiHKf7tPLhqJvxqe7pf+533ngrcEkaMscXq2QN1jb/1w1s598lzPW0B29zAYFLMSWotdzySot5dW2U7mKsb6vkgHKLbBZB9WhXmVDFNdyrISugzDB5KxLm7Rpkja1pHzcQNKNv7dSPwO9WAVCJcA6EYY0ol1usajNkKEE9/yTBdiuww9C4lo9TwJdxa1BoXTPzSzPCa0gqlvB/ut3r6eHjNejRgXDUBRdceXfUoFz59IY5yPyckx6ADF/WIDNbzsSj9Sg09nWVru/ve3LY4tycTLJw0novW3MeR9x3JBWvv5/gND3J1Q13gI99wj905PEwyYpJxAzZxGayTGcxyir3im/1mYze/cJqZ5CYOPm1FOXHQ94GKdpFXOl8hVzZUQ45DmzvmDxseod6yWFfG3nhqo2B8tFsOG1/8OQCz8/7cFGiHlx/mzWglTbd7YDm8e6cAmCqTw3ECAQjV8i7ADDuiFGZI1+GNm0VhYW6wqmaHrgjEDZUB+Qtam3kiu45fdT0f6AW5cmRNQN9EzgFXPfVVtnrySN6PnMYUbR2z68TzNGAWWFVS9DBKlcmMQ8NtzJkymxYqS6hk/eeC7W5jvzv387aP1jJqoxJobLUc3o5G+H6TuM/rusT4ixphomU+fX/3e0TSGxjb9zJZXSMWb6Jp3PbiTSXhELcdMnK9+4/Iz/8Bcxz45bZw40H+ts1mMIORhZhVZGykMVCXqQLKrkyXnxlQTEabYmaMqBENqMm2xdu8TBIAtlWhjgk+FTVAjyukqXEziSo99aLtLwp8x7at2/rnUQrG05b2L+Xx1Y97r3/w8g/Q0HjmmGfoqOnwonBxM07EiHh0I0lPVQGmRwuLtQTqtTakN7D3HXuz+192D/6o/IhHF6pmmVKGuBmnPlJfNQs6kO1j1XDQuYraDuONBB/1f8RVr17FwXcfzLPrng3U6RTtIrXhWjQX6B1QgLdOfouOmo5AK5nGaCPbt23Pc+uew3EcPuj9gNmNs9lv4n4saFlQcT4vd77MDu07sEjWgqhiE+UA884z4K3bqmcwy0QqXj/xda7c9UraE+0MF4axCsNeJLkhFAQXsoehT5F1aHAd6JAeguVPsXc6y9vRCF1uXWuBLlosKwD+NmJRG0kJ6uTgWi8zajoQHbcDUdkDy82Gp7Q02HHOcluYSEeLUh7qxgu6LGUAUw9G7efVTeWpVcL52iOdEe+HYpUZzLUvw0NfC2y6rKePL/QPsEDS9GoU0Ka0v9Bqx7BrRvaM8yfDmOOQs4v05npo6HwPlj3h12BCwLGQ1p5or9gm7eljn+HXJz0PqQ6/gTmwsGUhsAm5+S2wvSbsxbd3/Lb3ulpQq9xCjuOJclzR3cNeM48Sb0xz6WtKn78tNUM3iBgRYmbMq4mrZgubFwJ+kOxTEz/lvSfntefWPQfALQfewssnvMxxM4/jiOlHcOG2F3LY1MMCDuwhY8ewePxYeu0cTbEm9pu4L0/ViuzFgwUxX00qFhnUdYaUzEevrvPrulrufu+PAeq4rDOLaybLlCE5NGUPnlnsU+Jk39S9x4ua3Lym8a6beezOdDGU6yNh2bR3+3TzmmQQOJyRnMnUkl1BT9woMxDllF6gV9k2yeUADA6t4caP7+aVfHD/mCPGtcxgSkZNSTo3oSjscj618YbA58ZbTgU9H2DbUCNnzDjO31AqENVDHrBSRcnaFYbOc3H/fm2bmMC1djNfnC+uZcIYFACzdQ5ZXSfl+PeityyTl9F1euJ1IoNZpiT5hYVBOra0leEQv6hPYeWHSGsaayl6wbPvN/rjXNMN7FF0DJoVgLliSJQG/PqtX+M4Dq/lrvbPT3FELU2n7uyXK471ViRCtxvcMRzHW/Nej0RYaxo4QHdZ5rykaXylpYlLmhuxgbtqEgxH4oyUAevTXQG0D8Nhwm7dbZ+hC3q4ayoIjpkxMKN0lEp0OQX+suQvnNIxlq81N7LV698RFNmh9ZBsJ2OYJMYIkS7Z72+uIp62ONTI9u3b+8dVbE4+L6iTbp39nuOCNeGqlddnj09OBODY4RHm5vO8EY1ygaZkMJc/DWpQ7ekrRfLAyvOdpkrWRZdpBuioADvmhM81kM0QCxtk3PUyLgGDrMPc45vBg5WXMtRNoKFBBOlGxi5in4OuDbz9mYc/E3jdUiphgtdfvdmyqLds1rvVwacPiPXz9UExh2SsPOtNA9NxmFFQAKZyzHcLffygsYFmPYr69Eg2QMJ2ggJshTRDRnUYUHRrgiOOQ63lAsyN78DTV3LZdQs45t4jKj5jxhqIlWVkv94bXN8aMEgrLV8+zHYJNXo3YCFptkt1m+vraolreb7S/hbbtonxnikDrtkq8+RYPYIWb/TqOlWTmf/3h4NsIcnQK7dOV1381gNv5QtlEYJ+99pFjAixMvbQut/tIWqu372TrBEinuygvlH4H+mk3/4mYdukZSs4pfXh/wX79wSY616r3DawGpY8CDccWFVNqyKyUMh4267o7uHOTIyLd7jYU3hsT7QT1yqpCirYq4vWBRzC1kSrl0mS36lm/6RJWWc1g0lu0BMHihgRLtnxEuoidR5ImlEvBrYEexoaWIVAxPjWJbcGKA0A0+qnURetoynW5GXzIkaEVCTlRbCkY6gCv6HCEKlIisePftyj9EaNKD3ZHvpyfZUU2hv249c37MDLGyoX5aJVZN3IOlKRVCDzq2Z3z//7hRXqlCYO9S7o+cN7f2Dl0Ep++MoPvfOWSrGZUsYH9oURLyKo3qvGWCO7jN2F7mw3H/V/RHe2mwm1InM5JjEmkL2WdtLskzBlexIVKPat8EFPtg/euR3u/qzfzF21/LBo1H2TyFKFjBC6plMTrmG4MEzv8AYsTeNbPX08Oe+8wEc1RJ3Sk6uf5DMPf4a0JoRFADrCKVj1HAtdEPbGR/dg2RY5uhlbLAUoOEUNjot0COCRHfDAVK3joCWaPMAos+GTtE466K6oxyA/DHXjiNpVAGa5xRtotG1eXPB1rurqEaCuWgbz0UsEAFSsoWNbPlc7x19g1axg03T/79oODh8WE/ribE5QeMEDzBawIJcX7S1Keb99yJlPwI7nkHQzQvcddh87d+w8+m8BP8tiRmD6/nDk7zlg0gEcMe0IPju/spbnHzFDAefl9VHVLKtrDLgOR8qy/ZrL+UfD6Y/BnE//U+fx9DFP8/hRj3s1cftO3Jf7DruP0+eezi/3+iXg1+9JUP217b7GWye/5VH95TMFQuCs3FkFISwjbdjQGTZ0So4tnsGj/kDdocGehtMKRXoNgyFFKn6jafCr+joueeOnAYcl4ToA22nB8oYrXrqCH6/y2xQdOV0IfZwx/wzqzDjrQqan/N1VHObFdc8zL58P1uqW1amGWudy4FCQ0gnwQSTM8pAJg5Wsmh5F6K3NBfID79/FjWV1mxNLNllN1DnK0SEFoGwn6ADWllG7xo1bXPG9AA39q+H9e/wNv9iGyJu3eC/nK3WXYzq2o5oNUWKn056grkOCkX4MzYHW2QzrOkmMgDieVjZHfGBnyeg6DWVO7OcWfM77W67B0v4ej/HL+hQ7TBzHsmiCuW725+2oykjQsKrgS8NxAj2pVwyI6/9G1xu8uvFVLCVDoirUZkoZ6mr99Xm3UBMxPcyqkOkBzJDjwOBaHmto45QxrRw0dgy9hh7oHW2W/f6/x2J8u7mR3dfcwUM1wWBSqxtQHDZ0tqoT81yfITKYrVXWp4ZIA4TitLpj9E8f/InXwzoPusctRFPQ+zHW8AaymiPaduAzlppCSbbL5tAdh1+POcDzR8qf2ZjjwOTd4RyRzf/Znj/jnIXnVJxPNWtzGQ8Ai3JifL1pWLy58Q0BCFY+AzP25/3PPszXmxtFjeMvt4VlTxKtQjFXTQb7m9zArKaXSIRNMnkJMN0ARDgBR/8R6icGD6AGGucfAwf8iEWTRcBs0YzDSEYrAa5qhw2n0fDLLRotizrb8gJeEnim3eRGupRhvWnSWrICa6ue7uG+Zfex11/24s+O8DP2nXEkjbo/viXArLVt+uy8R7+3c4P8raZ6ULLgAtGQI5hur0WjIjv+1Pe5ozbJRjfTujDmB1f1RDN/W7uBv6zb4AHNvdJBxVzDKpAJ+yC/hMP8XF70mCYISt5yg3b7zR/HcfPEHNdfRp0fGdlAuTVmh2DrU4js8hUAkqEa9oqLsTQaRbpcC0BapyMAf2uildma27asUKDBstjonktUDxOK1gaEydaFTCFI1b+SrG4Qc0u8ANKKoFnccUjbRTGe+ldUxx+fUPv3BJhqBkna4Bq47URY9axPTVrzCrzt0kTLVWYLaQ9gHlwKMT2XZUrdFO497F5u2PcGLtnxElLKRLvr2F25/lPXs+/Efb1t9ZH6wGQcNsJ+Q2+AUt4T9BiTGMOTRz/JXYfc5dHH2lXRiNyA5+hHjAhHTT+KZ459xnM+b9jvBh454hFvgGuaAJiTiiWejC0MOHbnbnWuaJsBjE+Kh7Ix2uhFP+c1z6MuUseygWVc9OxF3oOpZgaHCkOe47LHuD1Y1LKIS3e6tPK6u7ah+31+VV/HOU9URqIfX/04fbk+Dpp8UEB9Vzr40soVZdOaTt36twPbJtZO9HpDSrpw3sr7ADPtR0fVDGZ9tJ5p9SI6uXZkLd2Zbq81hqZp7Ni+Y8V5L2pR1PGKab+Ae2g9NLq1gF2+eAbrKsWIyA/BHacJEDXkq8omQ0lGiiO83SdowS0lC/21PwQ/u/pFasO1vNn9pldLqrvOQYerYS/pOReuf4jPP/55hlnKuFKJ33R2s2uLuD51tsOkaKOozcv2ewAz5jgQb/QAowSYexlv8Fz0S7S4jou3FOaHIDWO2YUCu2WyzCxUydhKc7NoiSd/ILIpRkhkMPOVDrlnUiJ+lwvgMw/5fevUjFyiGY/gmmxnerHIS2MO54ddPYKiCsSUuuSF+QLc9yVY8gDUuK1Q2ufDvt/j5gNu5ruLv8vE1MTRz6maHX8rzD0CQze4dKdL+eJWX9z8Z7bQtgRgvhfxHY9UuRM2blvYBOVwU5YIJUiGk14GsyHawMTURL689ZfZdazIrsxrmsf+E/fn4h0u9j6nazpbtQh63omzTuRr236NH+zygyD1S7Gq/QTxSxRUwB11oK1kMWzodCmOidrLcqNpUuNmzgwXvJ5WOztQQ/fgSp+SddtBt3HJDpfw6JGPMqdxDhE9zKsuWJlgJnnX1FiV2cBemWxAmZh4mcO57Rlso1e/X4eOHQN/PprVXe9w+0e3e9t7h3zQOXG8uKYDq55mwDDYXXHkvtDnZw10N2gpAaYqxgZB8TCA9oWnwDl+EDbhOcB2MKs6sIqoEjibq9D2Wrc9iyOmHcHZs04JHHvQHVqTXSBvR1w6YLyRzlCYVi3Es8c9y5nzRMuPkBHhl3v9kus+JXrcfeF1ITY1fexOjGblwZ61psmdbhnBIBZz3UxbwDSwFHqftJgRCQTCSk7JA7CfefgzZKwh7IJLl1O0AXKlXEBJPt6xLeMT7awKhbzeuSEH+vqW8t1aMXYsTfPqb+XzUN6v8YttAkQWHItHE8EgSEvcz4osahQ01j7DYFDXaY23eurvp845lceOfIxxteMgFPXAiqpkD7B+B3EPZMZHZsDl+DHNKL/u7OLZVWvRJu7kzT3lADPqONCxtahddO3M+Wfy9DFP860dvsWmzFTuyRd3uZw9ou0UNY2THjqZb951BEsLAxxXWMoxj57J/TUJnoi71+Suz2JtZh6745A7+NYO3yJZ047uAFqJWNjw+t/GN1N37mWb5nwaPv1biNUxp3EOTx79JAdOOpBkWUAJYHKhyKOr1/G97l5Odym0cU0A1SIajcqzOE6ZO0zHIa1Bp2nQXip5wjsAy+0M33z2m3Rlu3hVLzFNj3P+NufTqCh7X+xmEacWiywNGThP/xCA371/I9fVVdbtP7rqUfqlcNdcwXAZNnS+2trCvEnjA/t+boUvomQk22mxLGYVityzdgN3r91Am2Vx8YRDvH1Wj6zjklRwjByQzkCde1wjzF/WbWCvdIbXoxERNBjZyMSE8Bf6yyi9Xa4IkmqN258DsXoirgJwxIxy5FiROV8aDvOjMpo0QFe2egZzhW5hIso5phlxTh8Y5Kcbe6gzE3TWuv2ArQLoBgnFd1hnGqCbOLlBstjEzJiXtEgrmcqEbbN2ZC3fHDMWa8XTXP+zSaTfvbPquXzS7N8TYJbRDqmbIDKYMiI1shGeuwau3xvuOlNklspbeBRG/Pq5eGOgt+E2bduQCCU4cszuXu3AIVMOYbv27QL1IpNSk4JZSAiqoikZTF3TaYo1Ma1+Gp9zqRP1ciy7nPgGy8YAzt/m/IqfnAwnaa9p9wCaruke4GkqFVngNhc/efbJnDn/TNprxGIg6ZBS5GNSahJNsSbqInW80/MO9y67l/VpAXzKazAlwDx82uHcuP+N7DV+r4rzkvbnWjEZlrdvASEYEjEiLO5YHAB9m6MWDhk6dSPBqFTRLnpUFUkXFm9IgNntXRcJxkGAdinMtHpoNTkr51FQIRhBB/jxbj8WyrCOjQdo5LjLD/tUyS6lblQBkJ7lh0FS65R+rTXhGtYNr+O8d0W2ptUq4SiT1vGDwxzw919VtGDYJptn/8gYvj2Yg0QLrYf5NUnPrxfiO+1uhPTgZiFk1VgqiTqUWB3kBpgRFZNqFiAUJ+pmqJNlYKXFrSl15O8vpCFaS124ll9s7KZ+x3Nh0ckwtkq2o2GK+HfQpa7rpl8DWdtRuT/4x5EOoczEqRQq3fAzdrXiusYH15JwHA/0y0CN7jhBAFYXXFgnpyZz2NTDqp/L/5BtCUV2ogLsk4dWb+/yXzEVYJabqZv8cLcfevRgafJ1fbSeE2efyIGTDxz1+KP1vlWFiD6fnMkPunp4YeVqz4FeFvYzDm8qIBvgjOnHAn77n0jbPB5fvY4ruirFhlKRFJqmeXNjzIh4UfUD6+cCsE02x4EjadrcAF1bqVRZX2tGWJCaHNg0XqkDLALHP3I633nhO+TdOuOekfUYjsNN6ztZ3Cqez1VmiKKmBaj6ao2W4Qb+5tdOpqNY4hw92DM2pNDVwGW5NEzij+s7OXFwiIjSPoDuj8Tz5W5TM7QqlTQVSXHpTpdy+tZfZLvkJL6+UAivzZ0laHVNsSYabRiKCCfbMsJ0GxqtoSQhPcTxs46nOdbMcTOPY9exu7Jd23aBgOKCvX/AaCaDGTPyBX7R2UVO1wM1x9NnVWboNTS2GlMZJEyFanhVqSEFEaRUzyXXeSghu5nVw36ZjQzGyjUkHoozoXZiIIPpaPBIIk6f5nh+wptbHw/A5xd+nhNnnciF21w46u8st1qlnGarZgFQ++rHMWjoJCN13nOZiqQEWwogFKNFr658uk6zIdHC7S44n988P3DsfRrmEQaSjgMd23jAsryFUcR2PPVtabL+enbjbKrZn/a5jqeOfspTF2fMIqJbncTONRO9fd4u9nFDqpZ38/4zev8kQeMtlbJCHG4Ue+6455heP52jZxwNte2EHdC0IvGwQaaYRnecipq6CpOBrHlHBTY3xZrQNI3aKlnjc/sHaLMsDhlJE3ccOPEuTj7mXqabtRzwmefoGCPWMBMtoOS8MJcnreu8EY3SXrKote2K7DbABgOmh1KE9BBNri/19UKUvd1SkBn5AgOGQdezP4TcEH9TetuC6DDwcf/HnP/U+Xz9nV8BUNM8i4/CIjj1ajQ4b4IoQZBmqArkHdsz1X3vmAn7cs/uv6LGtnnC9OeJpB7m553dYs2ddZCgIte0MqtQ5ICRNCVN4+NQSDCX3H665RnMjx6/mHJrdOuJJcstYkSocRlKX2lpqtr3djRhyo/CIVpDSXRNRw8l+HL/IBMm7kFd82wvuxnJic/WKyJHPYYBdolipgcLh5gZ8/xble0Xd+/jfSGLRwY+5Kf1Sa5+8gJ++/ZvOfWhU7n1Q7//8yfN/j0BZnkWpG1esLZruBMeVSJrv1kM3R8G1RULaZ+u1zxT1BCqn3/x16Q0nWOHR3htxWr2neDXGpEfgUwf3138XX602484YtoRnDz7ZPGe0iORUt6rs/SyJPkRzh4Y4p0Vq9Ek6M32g1Ug6ji8mU1x0GSltrTM5II3v2m+T/stjLBdm5jYZCZTPpjy+2UkVh47VUWtcqQ4wlBhiC8+/kXe2PhGBfUqakYD/fJKLtV3Se+H/KFO7Buv0t5kfXo97QkhCqICzN3H7j7q7wTYbyQTyEJ01HTw4voXvUynFByZWjfVF3vCEfcPH+zK3yGv3ZJ+wd2XEWHeuYPxt5zIm8f59F4vU+3YfgbNnSCDAPMD/4Sr1BKQ7Re1ewBrXxEU6nfvJBlKesAeoLVkkRnwP39+fz8h/KyuBMA5XeOHsam096+BuUcQnht0tmqsZg4fFmM5+rjoW9hoWVA/SfyOta+w562n88O2vbmyZwDMCJbroE4uFikqlCYZZR1bKsH0/eCAH4s3ZM1XpAYO+TmcEay7AaB+AlykXA/dhG63ZmKPi+DsFyo/s8PZ7mcnin8P+xWc8QTUlCksy++XQFUyGupFZiLmTvgVFN8ygPm/0Wq2oE3JTRs28rsNGzls6mGMm3nIZvf/R21TAHM022nMTuia7jEmNmXVaLMQBJhnj/0UB6YzmEBzSsxpyxTRmBvq/LmpuVRip/F7AIqITuscwsB+6QzbtywKfE95ljjiZgZTls1Zkw7mydVr+X1nFwnHIT5ue77X3cvve0b8VjuKaYlm7l+z3gOWxw2NeOIgq2JJBt3G6i/ecii3fHgLnelOmi2LhfkCZtt8asw4SxtEEHL8hN3FMR0nkP0YkxXPc024lofWrmehU1m6Ie3RIx8VwFk32Cpf4Gt9A55IzNja8fDWn+G1GwRtHNgvLcD+zHwhoKxc6wZ1IkaE6z99LycsOJMHP/0gJ80/09tnBiE6I+J3d2NhAW0LxTrYFGvikSMf4YJtLgAEIHn+uOe9z6aqZIekSfbNgnxetClyM+H1WphFLYu8WkHVdh+3O5cvvpwTZ50Y2N6YHMsZc05lRv0Mb01sjjV7ZR9nLzib5849m4kNDYF+yxKAymcgZsaY3DiDtabpiReN6DprdjyLkB5iz0N+D8Cbeb/X9Ne2+5on6Bb4fTmfiqyCjKQy/ueO342IEWHplF1YnaijMdboPZfqGkq0jpYGpWxAsbXDayGS5Il4jK2Sk7ys6tT6qbxzyjssrpvpXqRpEIp6v18Gq6XFdvs67FidEqsGxPavneb9PaZ+qnie68bDvt+H4wQVe6xS657VdVaE/bG857g9eccaYXC7M73auNEs4Jsk24g4NoZeIB42yRQzxB0HLbKZuXTrU+Ezj8DMA6q+HVOCEDJgNr5YghnK/mO3ZWzTTO484Tla6iYw1hVLC7nBTXl/Fyj080+PjKAjRPWq2biw8DeaXPZbQglcz3BB613JBBc/+01WZIL00mtfuILOYcGSWOlm9JqTY/l+TARfi2XibZd199KuBJkihhKsOOluaHX7VocSTB67I7PLWEvP7fwzdnfb0NCxtaAiuzbL3fevtXU4a1+Fez4PVGYwr2iqnAuksrT0MROhBMmGaRX7bYl9GA7TKp8tiQGitdRF6hiwxX2pnSBYE3Wav8b0ukBYtl+KmTHPh/RE8M57n/65h3mfWeMya26rTfLzN37OaxtfC7RW+qTZvynALItUTNxZAAEJMvqWBd+XjX1Vql0hDQMrxd8ts4RAi1Q0u/eL8NDXYY0AHGEIivdcsxX8cBJhI0zEiHDpTpfylW2/UnluVoEGPcK1e1/LD3ZxI7ZrlRpFSeWVtTqRWsiUKQ++cwdcv6/HuY+ZMf6w3x/4yR4/8QFmfphDphzCL/b8BUdMExFm2aBcLkYnzj6Rb+/4bc6Yd4b4yfFgFBwERfbm92/mqbVPiRqUACDPwCvXCxqwa7J/0+qNgmKxIJenq0p7gg0jGwTQHemizgV/AFfvcTUvZ6r3jLt74yBzCwVfYAaY0ziHkuM7XvXReh478jH+uP8fBXCT5za8ARzHV/x1r0HUjBI34yzpE0CnOdYsKLB3ng4b3sIY8c/NM8f2AU1uUET+80NiLGmGGBdykR2u8vkHvy6AJcBzP4XvtcEdn6HmLT+qdcrgEA22TSLjB0kibmCgwRTHPnvB2Xw9A6cPDAnqd36ogrJ3zS5XsufwMbS7C5ecGJstCxome5OrBuyfzrBDZgTMKMtcytf8XIFsvS+i0zr/eH7Y1SPop8ffBk0uLViCoFGAgmehKLTO9a+jFNqasb8AoOU2+xABSltcx8eMwNit/fdr3Xpm6ZxKypasyZ57BOz6FaKHishtc+mTBzDV+rXRrG63b7D9jE/z3cXfrapS/V+1WY2z2Hv83uzQvsMWf2Z242yeOfYZZjXO2uy+R04/ku/s9B0voyItAE5ldqF1Li0Hi/rPj5OVGQWAetthQrNwhDwRlDZx7NC47bl2398H9i9vPyV7pbbaDnpNG02WKxfz2aegcSqHjKQZp7YoCRyskfGlEieN2R2AGYWCVxf8bssUb7drQwWueOkKnhpcysx8Ab65HlIdpKL1LHV97JZxO/LH9Z3cv74LDTjHrmVxJsvB23xJ7NDoHm/yHtXPhbJ5fa5YCyRNc9x8F3ytfM4LyEYceKxuZ67r7GKCksmo1gd5bHJsgPY8zogzYDq8GQnzlwGxdrYpTqCpmxUKsU8e/SSPHPFI1XO/4+A7uGq3q4iH4jx65KN8bfcfkTj018xzAefhs47lxv1vrOgde8mOl/DtHb9NPBSvGFMNsQZO3+4r3HHIHR5obIo1eevjDu070JaKUROOe9fv69t9nV/tLeYQtS5xZuNsbE3jSYXa+selt9Mab6V56qeIGBHe6hZroSy/KA/SLMzlubqrh93bRZ1sa8nihzt9j9Pnnk5SuXfJaIr6aD33rnqYgmNz6pxTAxlMzw78CalDfkVYr1Qevfyly9kQTbAqZDKtWuBn3HaC/XWkUKk/Zc4pzG6czd4T9g7sFtnlwooMpjQ1WPNDt04bFACoabDj573s/w6N87i8u5eb+oXvIoW1jp1xLNu1b0dfro+dux/mmDFi//ZwXUULpQqbug81ts1M42ORwSxliNu2vy6PZkYIxlehW7um6TqnDwxy3YaNXLbTZfxy5ulMKxYF+63dBeFl12VsowD7mmOjjd+ROsumybI9rYyZWpRtZh4J848J0GRVG+eCq6Z68bwnLUsoBHdsw7xj7mBbvYZf1ddxz7qnKz77m49vZ82KoKZBS90kdjvmLg6eGATSP+rq4dMjabTxPl19tqoZEorC1i5FvrYdDJOUCkABrV153qSIntQY2Vm0fbo1GeNVJ82QrnFPTUK0Kyqz3dPB8ig5fianJnPMjGO4arerAi28xuub8T0Uy+g6rXL+bnSz8+GE59/GzBgLZ4ks9mzdf7Y3mgZF4DGXth0zYxVJF1Id9Cviju9EKp9DqWnwSbR/T4CZG/LrtQDaFwbf3xCs2/Ms6UfP6PkIXviV6JEkWw/8ZmdY/yZk+vx9pEnxnkIa0i7Xe8Uzld+hAsy3/wJXjGEns85fFD562H9fAkzZYqV9gRdZ9uxv58OaF2G1n/HZunVrMdA9gDmEpmnsNm43r35JOhoyEtSWaOPI6UeilwowuI4TZp0ACOrvmTOOp1YL8fKGl7jp/Zu87wlEMp+5Cu4/n7DtA7yj7juKkcII3QMC0M/L5xkqjlTQOten19Meb4cfT6P1MZFVi+phzF/tSGzje9y0vpPTBwaZqqg01BbEhKMKNKiU16t2u4paI05ropXk498TvZFk5uup78NldSRWvyTOy3U+5TEkMG6JtwSFOEY28qVFX+Kq3a7yt9mWD2hy/W7dhgORpE/5nLizGI8yg7n7N6B5lhACGoW2odJRTx0Y8uoNr+3s4syBQW9iv7NtPx4+4mF0TeeEdJ4GzQTZaDkepCPv0TCXiOXTD3fPZDl0eIQLe/uhYVIwwCLHmRkh6Ubzp+YdcnHhvC1bcCFsfSr7pzMVghxEkt5nN2tbuU6tEYZ9viNor/GG0cFpqDrdi6+tgnPc4Iz8fLlaqmHCnheTd53FZsuCL74uIqvgA+P/xbaplg2e7fZVOPxfT42VFjNjXL3H1R5DYEutYvEdxUzd5PBphzOzXgQSDpx8II8c8QimOqfPOBCaZsCRv6fFBS1LnWxVR7o+1kg8UsPJs0/mt/uInqgkmsS9P/UBDN3gqOk+Da4clKdckZAWRw9my8dsBU0uYFLXDtVmiszGMbNO4I55X2bbXJ7JxSITayfyW9N3mj5wHY+0U2RBCa+tTyqS8hW7a8aw1Qn3Me5zL0H9JM6afCi/OftjzMWCnkrjFLhwKexYXXEVyloeHP5b+KovKtSx6DSYuIsoJ5FZfz1E6wf3U2fbjCtZ7JXOMKVKj+dqVhNKMKxrnDSmjes2/B3wWyuNZk2xJq98o9xmNMzwVInbEm2E5x0FC4/jC1uJ3zunLLMmrTnW7AU+JR33pNmihZDa81OWZEyonVDBLCq6ZRVHTjuSE2ad4IE5uY6GjXAA6Kjsm5Z4C5qmBdhCMrMXMkL89dC/8uyxz3L54sv52UYhnnbKvNMBOHAkzf5TD+bLW3+ZmkTw2sn+11/b7mtMq5/mBWACGczm6WjN02iJtwTArFR7vn7sNIYMg/HVAj8Nk+DLb3tgaW7TXG476DbvOf7hrj9kUcuiQE10uQUo/UqNphqIVk3XDQ4dSTOjcY637fTpx3DRDhcxs2Gmt63bzQR9ceJB/OVgv93aXw/9q6DeqjbnMGKOgW5ksI1eeksjxB3ArH4O/4h9eY+r2OH0Z4gYEXZdcJrYuO0ZcNJf4ZT7BEhVbKzra2gAC46lxXaYkc97tX11oRrBzGmY7LUpAtF3c8dslt0yWfZuENem0S3hSdiC6syZjxOavCs/P/DPtJS1IQI4r0/4ky92vuRtMxyHhtQE0A2aaoLjy2MszPfnxqZYk8hcfupy/7d+c71XjrIxJNb8bxpjePqYpwWr44Afw4SdxXgCD2Dqcw7j+7t8H4APOxbwzeYmLm5u5IlEZRD1c+ODmX65Dhq6wcU7XMzEVJDWvlNdsF1OchSwLq1dtuGSrbxyg97Y3WPcHl6Q8YI9r+Z7w7ZbPxrlgHFjuNRtQxUzY2iaxqlzTuU3e/vr79e2+xoHTBLg/flYpV8z1vnkwrRP7pn/Vyw/JOhxe31bUO2k4Iq0Thdgzj82uD3ZBme5oPCV64QCaG4w6Hjef74flVr/pr9dCuB89JC/7caDKvs45Yf9NPyH94t/Vz7rv7/yWb8+LdsPQxt8INu+QGRhC0o0Z4y7qH5wb/lVCGQwy+2LW32Ryxdfzo7ldSl//yH8ZmfG1YzlwU8/yEXbX8S5q97jpL5uslYu4OAGMhguaCyXjd6Q3kBPuhPTcZjuUiL++L5Pk8iVcvTl+hjjinAsyBe4fvEPuEsf7/3uhfkCX+4f5O7OXpJuxq7Wrf+rU8CNXFjnNc3jU3oKvtsoQP5LruqkrKl1VUmnDXXz491+zCU7XOIdQ3U4mhwdHlGo1MOdnDHvjEDrhUAGc7gTrnffiyS9iZQxW4lsosxgzjgAvvDiJsVWapTf1WDbXnZtp2yOc/sHYcqe0L6QppUvMGakF245TgDYeUf7B3EzmPfOO5+b1nfCSBeXDF3mvR1zHC7v6aPJtkUQRV30+13H04zyA6eVX3d2sd4aS/c4MdEPj93d/93lYFD2vDRHAYOqbf85+OzTMGkXWPwlOOoGsX0zTdIrLFbnf2+iRbyO1FZVTJWO1uJsTmRuj/0zbHcWTBk98/Mf+++3C7a5gK9v93Wu2PmKStCRbBUBheYZ1IRqPGe7YBfYuWNnOmo6OKFJ1GAfMkeAia9s+5XgfNc4xWtFcMmOl3DfYffxk91/UnEes13no1YzA31OxTHctaU2mDXzbMqe8PXVaJN2YYZSf/XlRV9mje0H2kqaRtKN/m9j+kB8slvDGdJDglExfgfhqH3hJSF2VW41LVsu4mSYEG/gK9t8hal1UwU1uWESbHxXBC6NsKihlrXldeO5uquHu2aevUWHrwmnKkRs/tGgxJbYDu078NTRT7HPhH28bWorBbUOMBFKcP2+13PGvDOY2zjXY+yotrhjMb/Y8xd8Z6fveHOFVF/ftm3bwL5SeGowP0h7op32RDsaGhftcBFfWiQyyzIbKu/lpNSkwDo6pW4KqUiKQ6ce6gXrtm7bhuv6s3x+YNC7n7XxJg7t2IM/7iPq6q/Z8xqePfZZLziy69hdOXvB2R54VO2r2341ILhz3MzjWDxmMbd1C/bMhOY5FZ/ZnO0/aX9u3P/GTe5TTndXRRCrmgtmY4u/5G3aZqygJ85unB0MMgGxMjp7R01HgEovLe4Y5I0i9/adw9O5Tlo2jTe23OYf5bfGiqbg0kFRZxhvgEm7Vuw+pnY8Yc3kq9FJMPdIvt/Vxbd6+zyhvDrJUGlfwCU9fUyyxTp4dTbMbzu7+cXGbuLumJPBmjrbDtDzE/UTeXDNeo4aEn7fn/b4BT8s1bJDVsw3T+R82myTZaO766bMqkvz6sXnfJqFuTz7j6Rh/I5iTtvJFa7TtECP61a3ROpTySl+QGO7M+G0+/3AswzIxxs5aPJB1EXqeGPcPNGvu8z2TGfYIZtl5tZneduePfbZiv0gONbO2+0HnBr3a4WvzJo0VwHd0qY0uXOEZE6NdHPktCM5c96ZAcG6yNhtOOSc96ifLfwKVUxuZ3ecXrDNBSzu8JW6J9RO4Mpdr6Qx2kChisLt2CWPV2z7pNjoxRj/ly03JB64XVwxHMcRdAgpHrH+DfFva9mkWkgLBUnVxm3nZxLNmKDbScdZUhvBz2C+ekPw8yMbAT9DRn5IOCmqqNDgGiFCc+fpYnGfd5Sg8WZ64SeSDhjzo+WZXnCzMB7Y7AsqxAG+qmkVgBkzYxw69dDKzyx/SgDr/JCfui+kOWtgiJk7nMfcBSezbmQdD6540FswAU9oJWQHAWZnupOubDcNlsVst7fTz9/4OcfPPJ43u9/kq38XNIl2d8LXgO1CDTBcSaWlMMIfVn7M0/t/m+iKi0E3idol5uTzHLPgc0gC6SFTDoFHLhIvVvxdgLOB1eJehJN+1jDTy75arQBnMw6EmQd6WdCaUA3xxy4NAvfbT4HU4zB2G3G8e84RtE45YS5/yhf1iSgZ5LHbiuN0vS9ey6im2k7AjAZo1knlOurJdpF9dbMKJS2E2TZf1D0+/QORWZeWUBZXF2BOapwB+YI/7lX74uviuzVNCCBJk7RxM0pSq2XnbI4/2xNoqduaA3N/5q7WuVDjAlL5nEmTAZmy6G1V0zQYs3Dz+6l1LZuzXS+AhceJYx91A0zYKXCtt23blrt2+QlTM8Nin2QbHPDDLT/+/4AdPPlg3ul5Z/M7/h+yeCjuMSk2ZZqm8ZPdf8IhfxX1pr/e229jcnZ+sGo9eTWbmJpYVTF4Zvu2sOxOepsmB5wpQAQojLCgEo5mnuiUWxOcGstu43ar2O3woWEOJ+GBZRBO/N+W/41FLYuCYj1bwg5Q7NEjHw2ogKt28pyTOXnOyf7vKWbEf0dcD1P3FgCzdQ4MrUd75Tq07KbF16QlY/VQ1tJ4tPra/6qVg4q/DTj0ZzYw46Iq6wgiyHTLQbcEtn1qwqf4sO9DUpEUqUiKw6cd7r1XcNsOzG2aW/V7e7O9aJrG7QffTtgIEzNj7DhmR372+s88VfMpdVN4fPXjlcJ/VUzTNHY47Wl/Hna3Xb73Nd7rkB4KjO14KM7nF36+6vH2GL8HBaUVW3O8mcOmHcZz60VP2vLWL/8qK2dc/GjXH/Hj3X48+gcaJguQBuDG+he5+hExM8ZTRz/FVx8/l+e7hSBetIzOXo26DRAjxAdhv85x/P9Q1ihkhHjtZH8dnuy2Knln5m6Qfo/JMrg0fT9qLviI45fexffe/iWTd/0mvHy9YKs1CL9rt3G78aNxBzNjxS998AagaYTjjVxMPRcd8GeM5hnMP+QGin86gqhtk1OCtxtNwwtgyLG0z4R9+N7cs4n9YhsRHI/VcVPLnmL+KuupW27f3ulSTn3zRhr3unT0nY6/TbQMdHUqJqcmi/6omsYtO1xOyoHfLPkz9w68z7dooqnzQ6ifyLX7XMvYmrGjzufqWIvXdnDekXfzhz8uYJvWbdjloIt54ueL+Fxrc6Bvr7Qp9e6c2+QGC8bvwOS6yZy76Nyq3zXoa+cDcOa4/TbL0JnRMNMTWlStoe7/z7P332H/ngAzPxxUlpROZN8y4fzKViFqzzwIthABOPleAThdhT9OvR9uP9VXvlQLop+9GrY+TfRtaprh0xQzymLsOOLcZh8qFo6NrsPY+Q6sfh4+/Jt/XpoeBLCNU0CqyC1/UlCZalp8ZVK1f2DvMnE+EliWcqINy+YoIYU0bHAlqVe/CNPdaKOmowG7x8ZArImmWFNFob8UVgopfHNwM5i5fpotixmFIjdMP43TPrqBX775S27+4GZvvzFFpU3M4BpRJ1nFpheLTJ/yaeBiAboLw9y6fiPsMZ8+06R5669w5PSj4F4XYGZ6/czcMTfDwxcp96ZXXPPlT4n/nvgujTuLbEdTrAkyVYqvf7eXoKHd9GnodZusy9rD5UrNQyQJe7oR46l7ifpKaer5XO9G3RccJ+73xncB2C2T5bvAAksXUV3Xsd3gNPD01G9ybCgqsn5Pl6ktqllDWYMpqaJuNv2F2G78bnAbvtP+Ah31k/xs4dS94dXrYeZB/lhsn0/63SepBd5zJtK7QdznKc01EA7BxV3BzCcIcR/ws/r/Vfvs035Ny5ZYw2RvEQZEBLXMpk3ep2Lb/2a7Ypcr/qdP4X+1TUpN4sJtLqyg328puNyULRgj6rAOnitbcmiiThgEm+UzDwfH22gWbxCCJtM+hamb3LnDd3HuPIMjO0R2dkxumKlDG2CKTwdbPGYx5yw8p3ow8B+wttFqRMvNVWekdZ6o0dQ0rwaPkS4xN5epao5mNYoKNwihnf8ua/nc87T8g03Nr9r9qlFb5Ny0/00sHVjqUeWk7TFuDxY2L/RE1tTxNrVuKslw0stkSmC5SZp761w/iJHq8AXg/gWm0lJlLeqC5gXs0L5DoI3Z/0/bIoq/a7+efRbLet4N1ESnIil2G7+nBzBjZa3MRjt+jAhF3QeYE/jX16b/U7bjOaDpfCqSJLfy7xw4xk0iaBrUtHDMwrM4YsHpgrY/5wiRyHDX15AeYr9Zx8Lffxn0dwHOe1/Q4aXP1zyd0Dmv0fiHBazTdb7aP8wP65PsX/TpzXuM24PPL/g8p8w5hVgoDkfd6Gdht7DkIjVxV+ZPrMzcBqxhkqi7dW1a/TRe73odUzOZNe0gDN3gkmn7ccLAMppC9bDmJYjWstOY0VsXBQ7vZk51TeeBwx+gJdEiJJ2Bq7p6WB4K8fbs/bh78H2WIPxOL1lS2w5ffsdX9h/FJpepg9dvQpRM2swygLl7OsNemSzaNpv+rv/N9u8HMAfWiF6X0/cPbj/0l/Dno0VU9s/uAlku6lGe6Zu0q3jQx24D3x5wC9K/AA99DbY5XTjj0t78kwBokVrY9Stwl0u9GVoPb98uHJEpe4LjCqqM2048OCAAYc9S/1i1YwSNdtmT/rYJi33AcO8XhUhF1wdCfAiCAPOxb8MH94m/IynIDwrwbFZ5CIY3CnC75CGRSZK0zj8fDYdfKwSO5HlUU0GV5mZkvzgwzOdT/uT941d/TMy2me8KqiwKN9IabQyAS3CVEDVdZJr6V1bWmqr2jFsDOf1TIPsJ9a+g4YELOWbukTDt05BxI9ev3yh+03ZnwbR94CkFkKV7xXemxol7/N7dzCoJB6NoFyFU2VIFEBnPXuV+jd1OZKVl7S0IgLmrIkEveyymxvnZjnHbwcHXwH3nioz7MTfDNQsBaLUsnlm1DlvTYOdjvEDFW/YU3opvz7Hg9XUERC3EK7/ze3eBn1mVAPN1QU1+YsxZPN4Pc2cey3kqFXXmAXBxtxjLEmC2LWBDNkQ78L49geXLepnWUkMq5t7japkUmcHMj1S+989Y27x/unfjf+zfx06Zc8rmd/onrCnWxFsnv+XXL367TGitY1Hlh0YzxbGaPuMwOKoGnj8PUFqCSKYKosborAVn8d9mk3eHrywXDJnyZ66mRWQfttBUUZrjpx7Ol7b7+r/oJLfAYnXiv3/QRgMoC1sWVrTeAaEme9MBN1V+AJFNU5Vx/1979x0nVXX3cfxzdrYX2MLSF5AinQVpgqggKoglqNijxBISY8vjE6N5Uk30McmTorEkGhOjxt5r7CgoSpHeWXqHZYHdZdl+nj/OnZ3Z3ZltjLvAft+v17x29s5tM3Pm3vu755zfGej1Kzy9a+3a6yo3ftHwnW2izkmdq2r6/j3l3/XMfeRSYlIY4G+C2AjjRt7MuBDTM4Mu/hNqBlZhxJt4IJDBPyMhM/zMzWnSvQBEff5nphYeCgzB5THGEOPPXBrlC9y89cvs57pUBV8LQOhcBdGxXFERzx9iyjkzawIXL3+NmKAa3+TYZG4cGtT8feDUpr6rRjmv53m8sOYFYnwxVf1543xxgabtjdiPD6d9WK2VRFabrGqvJ1nL4NJSBp92N1el9+TJFU/yyZZPqresaECyv+8N+R5ndj+TK966lHIsqSGSYtZ09YCryUrJ4u4vXTel6w/mu3G4ww3LdgxofQHmJ17n45qDeHcfA3dtcSfNWxa6IRFqnoCCazB9cdVPsP7nJ10Na96BgRe6C/LXbwJ/dtF1H7iALDWoUBfshK/+6pb/rpe9Ky4FBk0LBJgHt8CcBwPLpHR0D3+TSnDbCs4K6u9HCm560T4XLG6aXb1GKTHdBZgl+e755jnwxDnwg7nuguGPQbW4S2uMx7PidXgt6OJm2ctw0nTAuoA4K2h8Q2+IjlPzdrIsD+Zndue6ZMvh8sOkmFjOKHFNFKPytzM0dwvvJydxW3kiD3iJLjIL9rqa20O5bh+Dm4/W5A/sTzzHBfOPnAzvesHcjoWu+aqfP2D2J+cY9V14bYEL0Dd7bflPOA0uehw2fc6w3a5J0o7CHeALOpjHtQkMf7N9QfX96TjYBY7BTUxrJow57ceuD+bJN1b1+wIg+3IXUJ9yW61gLbXSu+DsOqoq2dDMyqEUlXjTg8akqqp5CN6HxBoBplfjXpzQgdTEPPIOBdUa+0XHwqCLWf7hkyw9lMruTzYQtb2SwT4fq20Whzfs49IR9WQ985/swiU+aaioaPce60giIdIcqiXHieTNjj5ngheDjOl9ASx9IZBZuaUEN7M/AslBgcCEnlNqZedtbfqm92XWZbOqJaNrbjMvndmgTNSRNOfK2s0Cj0RmUHAY79Vgvnjei1Vj3IYSZ6q/5+wOwyK6T0fMn4CwsZnMo2Ph1oUNnv2aS17j/PmPkn7qHbDs1fB9x5tRdmY20wdMZ2yXhtVQ1qXOlho9TnXXx1CVB2X6wOlNujEZ44uhX3o/ok0U5baC9KT6r3XaJbRj2onTWJa7jFfXvcpA/1jGR8F30FStL8AcNcMFSkFDkRSXVbB5XxF9O3rNKTJ6uUfNGhZ/Epgfbwx/URub5LKD+V36FPzTS+xSVuQKS3B1+dZ5gQD0TdcxujI2hdnmJE4Hd/F/eH/1bKUpndydqT0rIWu0q3VNzQr0Ba0pro0LMP99kWtiGdxsJDHDJWzxj7853yUIYPPnkJtTe13B9q6q/v+upfC7oKY02VfC+fe7wKj4oMvGuWcVlBUxcu9mbh73e3xlxdzw/u+8ztN5sPwVbj94gLa+eK4qyOOB9u5OW/TmzwM1gRtmVt/umJvhy4dq719SRu2+TwlpgQCzU3agya8/yMq+3DVR/s+PA0F6m64u6Ot/Pr2XPA9d23FpQnfYFdSv9fZVrm/q/V7wNGqGq3le/7G7UZGa5YJbv+A+EeCG1rj23drvIToOzvxl4P+BF7mmabFJ8PRUN637WIhN5Lql/flk7T4mFAc1Q86+wt3E8A/yXlIAU/8Gi54OBKzRcS5j5GszAIiKiSc9KTZ0gAlsLYrmgvw7qLTAx+tI52xyO4zl8Hb3XU0bnhVyuWr7lNrN1bofiTs3uaFeRI5jvx77a9ontie+81gY91/u2H8cSA6qPeicdOxeREVSSwaXEEhKdCwLHtYh0ev3Vt/wR3FRrtnxWYeK+NOeXOjftDETvzEDpsK3X4GeZ3yjmzHpPUif5DK3ctM8OApu+hhj+NHIH9U/45H6ztsw91F37dfAmu/6+KJioKKC1Lb1XBMF+dnJP+P24bcTc593M6FG9t5jSevLItt1OJx+F5z/QNWkh2fmMOn+WazZVaMJrL+vQ9oJMPrGqsF+SUyvXjtUl6xRrmmj/w5Um67VO0IHBx05HwHw8TbD9GfX8M6Ur1zNmZ+/5ie5QyAzWUafQI1oQhpc9z6zLprP8+XjeTTN+1Ge4WW58vrvVRv6wh8ol+S7fpjbvf3Zv9k1Hx0alERj4i9cMOvnT1UfknGDcs991P17+IDL3pkSuIP0vW6TuWHdXJdcqTjf1azuy6FzeQU/L0skIbjGuLwExv2wdlMPcM1IvGyNfyybBr0mwq2L3XhvNcffKi8NZEC99CkXCAIEDz0Qk1Cjb6xXIzjwQnxlRcwr78hPVs5yNyk6ZcMNH7umKcF3F9sPcM3F/sfrK1rzAFMzwGyoS56A/ue5pmonTnb9nbyETvleLfAhfw0muL4R17wBJ5wOI78Lk+9zCW5qBrPZl1U9jfZFkZEUy75D7obKgaJSfvLqUr7evJ8n52zi1N/PJDhXU1zb9lw81TUrH9K1LSN71HORZIwbmuVIa3riUgLJrESOUxf2udBlHTTGtYA5TpqDpwQ1/WpIYhuRhgjO9J7QwD7WAzq5Gxy9K6Pdebz/+d/IvjWZMS4HQmOzpx+JzL7VW9u1BqO/55JI+SJT9+bzWgumNqAPpl9Vcq4sb4zVhiRDPEq1vhpMgAk/qfbv9gMuw+vri7dz5+Sgu8PGwPUfujbsTW0WZIw7WK16ywVk/v6T4DKTbpnjUjsf2OICwG89woIdA4GNbCiIhl5BGaSufNENoZHULtAcNqXG3Y1uJ7Nrz1buKp/BaSmZfO82L5HMnAdh5+LAfJ2Huayh/n3517nV1zPHZaMrGT6D2G5jMFE+GHqle+2V60O/1zN+Blknu+FXLngQlr0EH/7c1Yoe2AwdB1UfvPiBIdVrGAdfArtXuOajXvPU97ZuJ8oCJ57rgpIDQTW5l/zLJZYAN5zFuz/iiYrJdB8whs774xmb7l2I3bbUfbav3egSJ713lwv0U7vD5N+6cVCHBA3fAdXHSPT3j+x+CiRlkrB1nmueWVnugryuIwLzXvAQrHjV9ef0xQQODv4kH2f8DL5+MvC5h7A7v5h3lu7k2lN6hE96YAwzhz9IWXkl/kFRCopdc9/CkhDptn0xcG4gO9/SbQfITImjU9ugAPy2pZz1x4+Z6IsiLTGWzftc8+QPVu7muXlbeW7e1mqrvHF8L/766XrOGdSJ7K5teen7YxiWldqoRA0i0joFD3xe11iJIo0RfP5JqOM8G6xDgquxOjFzEFz2yjexW9IKndvzXJ5b/RxpcU1omXDNG4HRJ45RrTPArCHKOyDN3RCijX5wP8Ij0WW46z/TprO7O+JPtW0td76yjITkHfxyXCFm8DTMrtUAlFVUQluvVmzKH9yy/oHnh17pgtKg8aAADpdW8M5SV2vmC77On/4mFO51yXny1sOEn7pmAEntYN37gfniU6sS8pSd/lP6PrydK0cP5baJfagKZU+6xgWoy16GzV/AyTe5/fAHu3dudjW8qVmw8TMXXPrX/a2HXKZVf9/HA5td9ttvv+KaiQIseqYqwOziT2zhv6PYeyIkuz6oi9tMYF9UCROB4mHX0e9VdxfyRy+5Zq+bfusFzWnd3WPolYExLzsNccG/8cGwEEMdTLrXDX0R5XNt88E9H3qVy/h60jXuDpP/tarP5mr3qCn7ClfL2vN01y+0Dne8vJRZa/dycs8MBnQO31Tj2idcFuGce89hc14ROXtdje/KnfnMycllbO/QzZ3KKiq56vG5TOzXnvsvD/Q1sandyKnowDk+Q0ZyLAu3HABgydYDtdax+BdnERft47Q+mYw+IR1jDCN7NPwunYi0bknBNxtFIii9ooI8n4+YBjbxHBGTzo37DzJuUAv3b5bjyo9H/pgZQ2Y0rX95TELtFnjHGAWYQG6hawq4Ja9xdwu25hVx4zNfc8/UwQzNSq175l5eYNR5WLXJFnhhgasZOn3kaUzANUkE2FNQ4vrH+YPRYLFJcPZvak2+552VfLbWJXKp1lQyvq17XPy4SybTJ2gYhjvWu6ygb93msuDuWgar3iSn13eA+Tw7dwvPzt3CQ1cO47whnV3tJLi+gIuecc1MfdHM25jHL95YzvnZnblpQiprE08iputUTtj2ups/a5TLRHvrokBfRXC1j+2Dao6HXOqCsaxR8OBwF0j38erpktvDf7sAfOpPXDPP9f87hb0FgRTjYQ24wPW/jYqGk0OPB1bt8+oXYmzFib90QW6HQXWO+VReUYkvygTupsYmuuCyAXK997J8+8GwAWZlUBvVeRvzeOrLzcRHR9GnQwqLtx7gysfn8vpNpzA0KxVrbbW7ugs376eguJzVXpNway2/fnslZw/oiLX+JrJx7C8q5XBpBYu2HCDGZyirCGwzNdE1/RjTKzIJP0SkdYkyUdw16i5GdBhR/8wijfDSsDtZt/wFTAOblMaPuJYf5G+HU5uhr5+0GtFR0cdFv+aman19MEPwBye5hSUcCtW8MIRt+4t4Yf5Wlm/P59on5lFeUUl5RfjMpnvjsvj9oDc4mFg9C9jewkBg9JVXg7o7343Vtn5vIYu2hEncE8bKnYFU2/4+dOCCiB8+v4j39neuHTgltXM1c+f+EcbeAhf9He7cxKaD1QeLvfnZRVXNiQEXhI35QVV79Ydm5rB6VwH//HwjlZWWP3ywlgk5l7Ku53QqEjOhvxvo/OX1Ucwe8XBg0NqskdX3xxcD3Ua7GsbOw1ztZXBGX2MIinVYvv1gVe1dsFpjlnUf6xLD3JHjxogMoayikt+8vZJ731kZ8nWiolxWWS+4PFRSzoynFrAw6Ht6cs4m+v78Pf784drQ66hHhRc8/va91Vz0yBec88DsarXrD3y0julPzKv6/59fbOS9FbuYcVov7r5gILdO7ENKXDRTH/6CP32whjH3fcIbi7dTUl7B6l35zFrnbkBs2HuI8opKdueX8MQXm7j5Wdf/NsYXxal92lFRaen/i/dYuTOfW84IJD347I7xTXpfIiLBrup/FX3T+7b0bshxpv2w6ZxydYikeeHEpcA5v2t6bgQRqaVBNZjGmMnAA4APeNxa+9t6Fjmm5BaWkBTr41BpBVvyiujfqe4MUh+t3M0NTwWGothfVEbvn/6H7K5tee0HpxAVVbsP2k3PLGTepjwSY33cHHSxvnZXIDBavPUAFZW2Kkicv2k/Fz4yhyeuHcn4E13q7br6txWXVZCzO7C+XQeL+dMHa5gypBN//nAt76/YzeuLd/DZHeP5++wNfPfUnnTP8Jop+WLcWIl+MfFsCJFFdt7GfWR3TSUjOY646CjiY1zfmS9ycpm1di89MhLZtK+Icx6YzZrdrobsrJWTMJzFz77cyvnZnbwmrGksvetd2kSVucFrg8xet5eC4nKy0hIZdPHjBL/jVTvzaZccx+c5geE2nv5qMy9/vY2atu0/zOc5uVw4rEvVfhYUl1FZCW0TQ3ecfuarzfzjc5cEqHf7ZC4bGbghMG9jHp3axpOVnkhlpeXBT3KYt2kfX+TsY0PuIT66/XS25hXxv++uoqLS8srC7SzbfpDuGUnkF5dxzZgeVTXdG/YW0iMjiV35xWw/cJglWw/w7Nwt+KIM6/a47zDvUGlVJtcZT3/NWzePY9a6vfz5o+qB60erXD/Uy0dl0aFNPNlZqaQlxnD3Wyv5yyfuO7zt+cWMPiGduRtd8iJjoLSikgsfmUOPdq4M7PO2FeMzjDohnfF9M9mTX8IZ/dpz84TedE1LYFi3tECZERERERGpwdSq5ak5gzE+YC1wFrANmA9cYa0NU8UDI0aMsAsWLAj3couavymPT1bvISHGR0ZyLKNPyGDy/bMY0yuD2etyaZccx+s3jWXuhjwe+TSHy0d241BpOdldU8k7VMobS3Ywa20guHn2htH85p1VrPKCwvSkWB66YhhtvIHm+3RIZmPuISbf78bXSYjxccWobsxat5ezB3Rg18FiXl20nQuyO/Pmkh10bBPPrvxiBndpy+knZvLaou1VtYYxPsMlI7JIS4whyhjG9W7HkK6plFVWsm53Ibc+52oYrxrdjYQYH497gVI48TFRnDekMwM7t6Fjm3jKKi0ndUv1gsVc3lnm+nKuuWcyP31tea0gLjHWx6UjXFDzxw/W0C0jkaevH801/5jLpn1FxPgMv/7WIP784Vp2Hiyutf0rR3cju2tbuqQm0q9TCjc9s5BKa5m/KVAbeMWoLO46pz+5hSWs3lnATc8Gsu6mJcaQlZ7I0m0hmhADvihDRaWlT/tk4mN8/OL8Adzy7CIykmN54PKhvLVkJ+P6tOPTNXuYPrYHX67fx3+/uIR+nVJIS4xlzvp9XDW6G7mFJRw8XMYXOa4W8ZYzepOeFMvdb1X/Cdx30WDeXLyDJdsOcO0pPXh45vpqr2dnpfL4NSNYuu0A1z+5gEkDOzAnZx8FNWrNu6Qm8PtpQ8jZU8gHK3cR44vis7V7q8ZY7pKaQFFpOeWVlguyO/PM3C1kZ6Xyxk3Vh/3YW1DCiwu2UlJWURVo+k0d2pm3l+6kPKip7RWjuvHcvC08dvVwzh5Yx3hRIiIiItKqGWO+ttaG7OfQkABzDPAra+0k7/+fAFhr7wu3zNEcYP7k1WU8N29Lrem/On8AK3fm8+KC2jVhodx/2VCS4qI5a0AHissq+Hrzfn733uqwwU5sdBT/vn40976zkiU15vnW0M7cObkfd7+1gopKy9kDOzJpYEfaJsSwamc+v3xzBfM25jGka1uWbjtIlKHaMBF+KfHRXHvKCVw7tgex0VGs3JlP24QYXv56G/06pjCsWxovLdjKI5+u58rR3dh1sJhPVu+p833eOL5XVWbdF+dv5amvNnFi+xTmrN/HrvxA0DisWyr/mD6S9CTXN6+otBxrISnOVZIfLq3gw1W7mbl6D+cN6cQrC7fx7rJdIbeZmRLHY1cP57VF23nqy80h3+d5QzrzP1P6kVtYyn+9sJhu6YlcNjKLfh1TKC6v5Ow/fcah0grap8S5vqweY6CuIt+xTTz3TB3EmF4ZXPX4XBZ7CW66pCawv6iU5LjoqvVld23L1WN6MGlgB6b8ZTZb8w7jizLcd9FgzhnUkR8+vxgLTOibyc/fWFHn55yVnkCvzGS+e2pPTgmRnOeDFbuYuzGPKYNdxtZoXxQVlZYDRaW8tWQH4/pk0rt9csh1V1ZaVu3KZ+bqPZw5oAOPzdrAf5/dl8pKy86DxVz66JeAS4pUWWlD1sCLiIiIiPgdaYA5DZhsrb3B+/9qYLS19uZwyxzNAaa1ljeX7KB/pzZEGcOX63NJT4pjYv/2xMf4+GztXuaszyUhxsfJPTMoLqtgX2Ep+4tKGdC5DWmJsRwqKWdEmIyZ2/YXsWDTfopKK/BFwZpdhWzMLWT62B6M79uekvIK5qzfx7CsVOZuzGNfYSnnDOpImheYhVJRadm2v4juGUkcKiknxhfFtv1FzF6Xy6qd+Rjjkq5cOKwLJ3aovw/BnoJi2iXFERVlKCot59WF21m/t5C0xFiifYbsrqkUlVYwNCuVzJS4sOspKC7D4pLGDMtKC9vsNJTDpRV8umYPWemJLNyynx0HiunUNp4RPdLo3DaBtKRYrLV8uX4fs3NyyUiKpXtGEuP7ZhLjq7/r8J78YkrKK8lKT6S8opJPVu/h5a+38e2Tu/Of5bvo0z6Z5LhoFm3dz7jemby/YhcjeqRx1eju+LwA63BpBc/P38K5gzvRvk084IK1//tgDRWVllsn9iHZC6APHi5j3e4COrRxTWhrWre7gIdm5tCzXTJ7Coq5ftwJVFRa3lq6k8tGZtE+Ja5B7+ubMH9THvsKS5g8qFP9M4uIiIhIq3ekAeYlwKQaAeYoa+0tNeabAcwA6Nat2/DNm2vXPImIiIiIiMixra4AsyFVJtuArKD/uwI7as5krX3MWjvCWjsiMzOzaXsqIiIiIiIix6yGBJjzgT7GmBOMMbHA5cCb3+xuiYiIiIiIyLGm3mFKrLXlxpibgfdxw5T801pbd8YSERERERERaXUaNA6mtfZdoBGj1oqIiIiIiEhr0zJpK0VEREREROS4owBTREREREREIkIBpoiIiIiIiESEAkwRERERERGJCAWYIiIiIiIiEhEKMEVERERERCQiFGCKiIiIiIhIRCjAFBERERERkYhQgCkiIiIiIiIRoQBTREREREREIkIBpoiIiIiIiESEAkwRERERERGJCAWYIiIiIiIiEhEKMEVERERERCQijLU28is1Zi+wOeIrjpx2QG5L74S0KJUBURkQUDkQlQFRGRCVgabobq3NDPXCNxJgHu2MMQustSNaej+k5agMiMqAgMqBqAyIyoCoDESamsiKiIiIiIhIRCjAFBERERERkYhorQHmYy29A9LiVAZEZUBA5UBUBkRlQFQGIqpV9sEUERERERGRyGutNZgiIiIiIiISYUdFgGmMyTLGzDTGrDLGrDDG3OZNTzfGfGiMWef9TfOmZ3jzFxpjHgpaT6Ix5h1jzGpvPb+tY5vDjTHLjDE5xpi/GGOMN/00Y8xCY0y5MWZaHcvHGWNe8Jafa4zp4U3vboz52hiz2NuH70foYzqutVAZuNcYs9UYU1hjesjvNsTyIcuKMWaC9/37H8XGmKlH9gkd/yJVBrzX3jPGLPHW8zdjjC/MNsMdB7p5615kjFlqjJkSZvlwxwGVgSaIZBkIWuebxpjldWwzXBn4jjFmb9B3eEOY5W83xqz0ysnHxpju3nSdC5ogwseBT40xa4K+w/ZhthmuDHzfm77YGPO5MWZAmOXDXjd4x6IDxpi3I/H5tAYtVAbCXQ+E/H2HWF7HgQiLcDmINcY8ZoxZa9z14cVhtvmNXBd6r0339nmdMWb6EXw0xwZrbYs/gE7ASd7zFGAtMAD4PXCXN/0u4Hfe8yRgHPB94KGg9SQCE7znscBs4Jww25wHjAEM8B//fEAPYAjwFDCtjn3+AfA37/nlwAtB243znicDm4DOLf0ZH+2PFioDJ3vbLWzIdxti+XrLCpAO5AGJLf0ZH+2PSJUB77U23l8DvAJcHmab4Y4DjwE3es8HAJvCLF9vWVEZaJky4L1+EfAssLyObYYrA98Jtc4Qy0/wf7fAjehccNSUAeBTYEQDthmuDLQJmucC4L0wy/cgzLkAmAicD7zd0p/tsfJooTIQ7nog5O87xPI6Dhzd5eBu4B7veRTQrpHl4IiuC3HXARu8v2ne87SW/oy/ycdRUYNprd1prV3oPS8AVgFdgG8BT3qzPQlM9eY5ZK39HCiusZ4ia+1M73kpsBDoWnN7xphOuBPHl9Z9808FrXuTtXYpUFnPbgfv28vARGOMsdaWWmtLvOlxHCW1xEe75i4D3utfWWt3hngp5HcbYvmGlJVpwH+stUV1zCNErgx4r+V7T6NxJ/hanc3rOg5487fxnrcFdoTZ7YaUFZWBBopkGTDGJAO3A/eE2149ZaCh+zwz6Lv9Cu94o3NB00SyDDREPdcD+UGzJhHiOOLNF/ZcYK39GChoyr61Vs1dBrx1hLweCPf7buh8Og40XYTLwXXAfd58ldba3DDb/KauCycBH1pr86y1+4EPgckh3/hx4qgr6F618zBgLtDB/0V7f0M2bQiznlTcXcOPQ7zcBdgW9P82b1pjdAG2evtWDhwEMrxtZxljlnqv/85aG+7iVEJopjJQl7DfbRNcDjzXxGVbrUiUAWPM+8Ae3MXdyyFmqes48Cvg28aYbcC7wC1hNtOQsqIy0AQRKAO/Af4I1BXY13cuuNhr8vayMSarAdu8HlcD5n8POhccgQidC57wmif+PNQFIfWUAWPMTcaY9bhak1sb/y7kSDRTGWioar/vhs6n48CRO5Jy4F0LAvzGa776kjGmQyN34UivC6uW9zQl7jimHFUBpnfH+RXghzXuHDZ2PdG4C7q/WGs3hJolxLTGptMNuw5r7VZr7RCgNzC9CQW51WrGMlDn4iGmNTrdsndnfDDwfmOXbc0iVQastZNwTV3igDNCbSrUYt7fK4B/WWu7AlOAp40xoY6XdZYVlYGmOdIyYIwZCvS21r5W36whpvm/v7eAHt6x/CMCd6/DbfPbwAjg/6pWpHNBk0XoOHCVtXYwcKr3uDrUpkJMq/oNW2sfttb2Au4EftbE/ZAmaMYy0JB9qfX7buh8Og4cmQiUg2hcjfIX1tqTgC+BPzR2N0JMa8x1YUSuK48lR02AaYyJwRWgZ6y1r3qTd3sXaP4LtT0NXN1jwDpr7f3esr6gDt6/xt05CG7m0JXwTeD8+3evfx3epG1AlvdaNK4ZXV7wMt5dqhW4g5rUo5nLQF1CfrchykB9LgVes9aWNXD+Vi/CZQBrbTHwJvCtRh4Hrgde9NbxJRAPtGvCcUBloJEiVAbGAMONMZuAz4ETjUv20eAyYK3dF9S07e/AcG/7tY4DxpgzgZ8CFwQtU0XngsaJ1HHAWrvd+1uA64s76giuB57Ha4rXhHOBNFIzl4H69qXW71vHgeYRoXKwD9eSxX/D8SXgpGa+Lqxa3lNv3HGsOyoCTK/Jwj+AVdbaPwW99Cbgz7Q0HXijAeu6B/fF/9A/zVpbYa0d6j1+4VWpFxhjTva2fU1967bW/tS/jhD7Ng34xFprjTFdjTEJ3r6kAacAa+rb79auuctAPasI+d2GKAP1uQI1jWywSJUBY0xy0MknGlcDubqRx4EtuOQcGGP64wLMvQ09DgTtjspAI0SqDFhr/2qt7Wyt7YFL+rDWWju+MWXAX4Y8F+D6/9Q6FxhjhgGP4i4qqy50dC5omggeB6KNMe285zHAebhkT40pA32CVnkusA5CXg9IBDV3GahnHSF/3zoOfPMieD6wuBYp471JE4GVzXxd+D5wtjEmzSsHZ3O8t2yyR0GmIdwFgAWWAou9xxRc++aPcQf1j4H0oGU24WoKCnF3Bgbg7ghY3IWAfz03hNnmCGA5sB54CDDe9JHe+g7h7nqsCLN8PO4uSA4uA11Pb/pZ3vtY4v2d0dKf77HwaKEy8HtvuUrv76/q+m5DLB+2rOAyiW0Holr6sz1WHhEsAx2A+d56VgAPAtFhthnuODAA+ML7HS8Gzg6zfNiyojLQcmWgxjp7UHcW2XBl4D6v/CwBZgL9wiz/EbA7aH/f9KbrXNCCZQCXlOfroOPAA4CvkWXgAW/ZxV4ZGBhm+brOBbOBvcBhb55JLf0ZH+2PFioD4a4HQv6+Qyyv48BRWg686d2BWd66Pga6NbIcROK68Dpv+Rzg2pb+fL/ph/8gKiIiIiIiInJEjoomsiIiIiIiInLsU4ApIiIiIiIiEaEAU0RERERERCJCAaaIiIiIiIhEhAJMERERERERiQgFmCIiIiEYYyq8QbRXGGOWGGNuN8bUed40xvQwxlzZXPsoIiJytFGAKSIiEtph6wbRHogbz24K8Mt6lukBKMAUEZFWS+NgioiIhGCMKbTWJgf93xOYD7TDDdz9NG4wd4CbrbVzjDFfAf2BjcCTwF+A3wLjgTjgYWvto832JkRERJqZAkwREZEQagaY3rT9QD+gAKi01hYbY/oAz1lrRxhjxgM/stae580/A2hvrb3HGBMHfAFcYq3d2JzvRUREpLlEt/QOiIiIHEOM9zcGeMgYMxSoAE4MM//ZwBBjzDTv/7ZAH1wNp4iIyHFHAaaIiEgDeE1kK4A9uL6Yu4FsXD6D4nCLAbdYa99vlp0UERFpYUryIyIiUg9jTCbwN+Ah6/qWtAV2WmsrgasBnzdrAZAStOj7wI3GmBhvPScaY5IQERE5TqkGU0REJLQEY8xiXHPYclxSnz95rz0CvGKMuQSYCRzypi8Fyo0xS4B/AQ/gMssuNMYYYC8wtXl2X0REpPkpyY+IiIiIiIhEhJrIioiIiIiISEQowBQREREREZGIUIApIiIiIiIiEaEAU0RERERERCJCAaaIiIiIiIhEhAJMERERERERiQgFmCIiIiIiIhIRCjBFREREREQkIv4fgdP/bqOP/7cAAAAASUVORK5CYII=\n" + }, + "metadata": { + "needs_background": "light" + } + } + ], + "source": [ + "tesla['Total Traded'].plot(label='Tesla',figsize=(16,8),title='Total Traded')\n", + "gm['Total Traded'].plot(label='GM')\n", + "ford['Total Traded'].plot(label='Ford')\n", + "plt.legend()" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0, 0.5, 'Total Traded')" + ] + }, + "execution_count": 18, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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CEZgCAIpDyhQAAIjAFAAAAABQMAJTAEBhrJcypUMvAACzi8AUAFAKxKUAAMwuAlMAQGH8YDQgMgUAYGYRmAIASoGwFACA2UVgCgAoBTKmAADMLgJTAEBh/FCUuBQAgNlFYAoAKAUCUwAAZheBKQCgMH4wapllCgDAzCIwBQCUQkBcCgDAzCIwBQAUxs+S0vwIAIDZRWAKACgF4lIAAGYXgSkAoDCROaZEpgAAzCwCUwBAKRCXAgAwuwhMAQCF8WNR5pgCADC7CEwBAKVAWAoAwOwiMAUAlAIZUwAAZheBKQCgOF4wSlwKAMDsIjAFAJQCgSkAALOLwBQAUBiaHwEAAInAFABQEoSlAADMLgJTAEBh/CRpEBCaAgAwqwhMAQAAAACFIjAFABTGeilT5pgCADC7CEwBAKVAJS8AALOrlufOjTEPSjooqSGpbq3dkufjAQAmix+LWjKmAADMrFwD05aftNbuHsPjAAAmGBlTAABmF6W8AICSIDIFAGBW5R2YWknfMMbcZIw5J+fHAgBMmMhyMcSlAADMrLxLeX/CWvuYMeYHJV1ujLnHWnutf4dWwHqOJJ100kk5DwcAUFZMMQUAYHblmjG11j7W+rpT0iWSzoq5zwXW2i3W2i2bN2/OczgAgJLxY1GWiwEAYHblFpgaY440xmxy30t6taQ78no8AMBkIzAFAGB25VnKe7ykS4wx7nH+3lp7aY6PBwCYMP4SMcSlAADMrtwCU2vtA5JOz2v/AIDpQmAKAMDsYrkYAEApWJaLAQBgZhGYAgBKgeViAACYXQSmAIDC+OW7llpeAABmFoEpAEyAz377If3ap24oehi5ImMKAMDsyrMrLwAgI+/66vSvtkXGFACA2UXGFABQGL/hEWEpAACzi8AUAFAKAbW8AIAx+d7OQ9p7eK3oYcBDYAoAKEyk+VFxwwAAzJhXfvAaveavri16GPAQmAIASiFgjikAYIx2HFgtegjwEJgCAArjh6LEpQAAzC4CUwBAKZAxBQBgdhGYAgAK48ei9D4CAGB2EZgCAEqBrrwAAMwuAlMAQGH8dUwp5QUAYHYRmAIASqFBxhQAgJlFYAoAKEx0jimBKQAAs4rAFAAmiJ3i4I2EKQAAs4vAFAAmyBTHpZTyFuzB3Yf18r+4WrsOsuA8AGD8CEwBYIJMc7nrND+3SfCJ6x7Qg3uW9PU7Hi96KACAGURgCgATZJpDNwLTYrmX3xQ7DADAjCIwBYAJMm3Bmz9nNggKHAjaFz0MoSkAYPwITAFggkxZXBrRmOYnNwHcy18hLgUAFIDAFAAmyLTFbv7zmeaOw5PAvf6GYl4AQAEITAFggkxbKa+vQSlvocI5psSlAIAC1Hr9wBjzvH4bWmvvyn44AIB+pi0w9Z/NtD23SWPlMqYAAIxfz8BU0ifVPGdYkHS6pHvUPF49R9JNks7KfXQAgIhpDt0ITItFxhQAUKSepbzW2hdba1+iZkD6Y9baU621z5f0Ikm3jWuAAIA2O2Xlrn4sGgQEpkVyrz5zTAEARUgyx/T51tqb3D+stTdL2pLfkAAAvUxzVrExvU9tIth2ZAoAwNj1K+V1vmeM+aikz6p5QfWXJX0v11EBAGJNc+xGV95iMccUAFCkJBnTX5X0qKR3S3qPpMdatwEAxmzaMqbWC7UblPIWK5xjSmgKABi/gRlTa+2SMeYvJH3eWvtg/kMCAPQybYGpj7i0WO7lrxCXAgAKMDBjaox5raS7JF3d+vcZxpgv5T0wAMjTynpDh1frRQ9jeFMWvEWaH01x0D0J3OtPwhQAUIQkpbx/KunHJe2TJGvtLWouGQMAE+s1H75Wz3/3ZUUPY2jTnFWkK2+xwuVimGUKAChAksC0bq19suM2zh4ATLQH9yyN7bGCwOqfbn0skzmU05ZV9J9NY8qe26QJm/ISlwIACpAkML3HGPMfJBljzNONMR+QdEPO4wKAqfGlmx7ReZ//rj777YdG3tc0h24kTItFV2QAQJGSBKZvk/QTkqqSvq5mJ/m35zkoAJgmj+5dliTtXVpLtb1f4jp15a6tYKhaMdP33CZMu/kRKVMAwPgl6cp7SNLvj2EsADCVVuqBJGlxrppqe7/EdRqTWsY0O8FOW5nyxAmXiyl2GACA2dQzMG113u15lmCtfWMuIwKAlL763Uf1rOM36XlPO6rooUSsrDckSYu1JEUq3fy5qXbKinn9LB1zTIs1bZ8tAMBk6Zcx/UTr6+slPV3S51r/fpOkbXkOCgDSeMcXbpEkPfjnryt4JFFhYJo2Y+qX8k5p7FAxZiqzwZOErrwAZgVz6supZ2Bqrb1Mkowx/8Va+zJ3uzHmy5KuSfoAxpiqpK2SHrXWvn6EsQLARFpZz7KUd/oOpkbNOaZZdC1GepZSXgAzYgoPpVMhSV3Z8caYp3v/PlHSDw7xGG+XdPdQowKAKeIypgspS3mDKc6YupODihGBacFcKW+FwBQAUIAkZ0l/IOl6Y8ylxphLJV0n6T8n2bkx5kRJr1O7LBgAZo5rflRJecbvx2tTmTE1RpWKmcrnNknanzMiUwDTjaNNOSXpyvuPxpgrJZ3auul2a23Slek/rGZgu6nXHYwx50g6R5JOOumkhLsFgPy94D2XacvJx+hTZ79opP2stjKmaQMvf7tpO5i6LF2V5keF4+UHMCu4EFpOSevKfkjS8ZKeIen1xpiBHXmNMa+XtNNae1O/+1lrL7DWbrHWbtm8eXPC4QBA/g6s1HXVPTtH3o/LmKatVPU3m8YlVYyaWVMqeYtmO74CwHTir1w5DcyYGmP+SNJPS3qWpCskvUrNct4vDtj0JyT9e2PMv5O0KOkoY8xnrbW/PNqQAWCytDOm6bb3g9EgyGJE5eGeWrUSnUuL8XPvxRRe+wAATIAkGdNfkvRSSY9Za98k6QVKMAHFWvvH1toTrbUnS/pFSVcRlAKYRa75Uepspz/HdAqv8xrTXC5mGrPBk8S9/rwLALJw6R2Pa//yetHDiMXhppySBKbL1tqGpIYxZqO19jFJz8x5XAAwNdYbzSNg2sAr2vwoixGVh3s6FWPUmLJs8KQJC3mn7DMGYPz2L6/r3M/erEtu3l70UGJN40XeaTCwlFfSbcaYp0i6UNINxpgDkm4d5kGstd+U9M1hBwcAiB5Ai84q/sMtj+qI+Zpe9bzjR9rP3sNrWqk3M8lGRpUKzSjKoujPGIDJV29dadxX0owpyilJYPrH1tp9kj5ijLlM0tHW2htyHhcATA3TmvwwDRnTt190iyTpwT9/3Uj7edGfXaF6YHXuy5oFOHTlLV44x7TYYQCYAu64dWilXuxAeuBwU059A1NjjJF0maQzJclae+84BgUA0yht4yI/kzgt2ax6R6OjCl15C9cu5eWNADAaV+lzaLWcgSnKqe8cU9s8Ot1ojHnBmMYDAFMr7em+HydMZfBmpErF0JW3YASkADLT+nNykMAUQ0hSyvtjkt5ijNkm6bCaHXmttfasXEcGAFNi1FLe6GbTFTy4q+oVMz3Z4EnFcjEAskIpL9LoGZgaY0wrY/ofxzgeACiFXLJHqVeL8Ut5MxpLiRi5rrxT+OQmiPuc0a0SwKjKXsrL37ly6pcxvUnSmcwrBTCLsoyRTGvp5yyaH01duWvr6TDHtHhkTAFkxf0dObhSzq68/J0rp35zTM3YRgEAJVNP26koRruUN932fvZ2Go+lxkjViqGUt2AEpgCy4v6MlLWUF+XUL2O62Rjz//f6obX2IzmMBwBKIY+y0rSlQ/5W0xa8uWdTITAtnHv9eRcAjMpV95S1+RF/58qpX2BalXScyJwCmEGdy5mMwv0RzSRjOoVHUyOjisnnYgCSY7kYAFk7tFqXtVbGlCuc4O9cOfULTB+31v73sY0EAEqk0cgwMG0dkNMeCP3Npu1Y6l6TqjFT99wmFW8DgFH5UwOW1ho6ciHJQiCYdcwxBYAYWWZMnbSBV6T50RRGb8aUpyvvOZ/Zqn++7bGih1GM8ESy+PcBs2W13tA5n9mq7+08WPRQkBF/6koZO/PyV66c+gWmrx7bKACgZPIIklKvY+odQqftYOpekrma0Xoju4ZTaX3jrh36nb//btHDKES4XMy0fchQet99eJ++cdcO/ZdL7ih6KMiIfwg9WMIGSPydK6eegam1dtc4BwIAo8g6y5NHkJR+jqm/j3IcTbMO3Dcu1Ep5VX2WuLc070/YzQ/vJTMGTDn/mFzKJWPKcShFBwq+AUyFrOO1LAMvNy8ibfAcRJofleNout4IVK1UM9mXkbRpca6UV9Vnifts5f0R+w9/c70k6cE/f12+D4SJUZI/a8iQ/5Zy0RFJ9SvlBYCJkfV5TaZzTFuRadqTrzI2P1rLKKPsns7GhZoOlPGq+gwJu/KSSkBBaG4yPfxjVRnXMuXvXDn1zJgaY/Yq/lzPSLLW2mNyGxUADCnrTGKp1jGNlPJmNJiUjAK9uHKX1uuvzG6fxuioxWYpbxBYVSqcnhbB76IJAKOIlPKWMGPK37ly6pcxPU7S5pj/3O0AUBrZZ0yzm2M68jqm3rPLao6ptVZvu/Jtuu7R64ba7jeq/6K/n/8fqtx3WUbjaH7dtDgna6XDa+U7gZkVYSlvweMAMPkipbwlzJiinPo1P2r4/0k6WtLx3n8A0OUT//qA/u7bD439cUs9x7S1jmnaoDLIoZS3buu6dvu1Ou/K84ba7hTzRHMcBx7NZiByc0ybBTxFzkUqy/zdooTPfsZfB4wfZZXTJ1LKW8aMadEDQKyBc0yNMa8zxmyTtF3Sd1pfr8p7YAAm059+7W79t6+Ov+V/1ic2ZVrH1ObY/GjY18228r9ZBe7u8Te2AtMiGyAVXSZdtLCUt9hhYIYZqvinhn8htpSBKRfgSilJ86M/k/QTku611j5d0r+V9M08BwUAwyp1xrT1Ne2B0N+qLMHTKK9P17amWcorFbusQFmW4ikaLwOAUfl/R8q4XAx/5sopSWBab61pWjHGGGvt5ZLOzHlcAFCoeiP7w1b6dUy9jGlWh9MRdzNKYOrP323PMW1mTA8UmDGd9YDMfbYI0DF2fOSmjn+sYikwJJVkHdP9xpgjJV0n6TPGmJ2Ssl95HgBGUOaMqZPFcjHDDKsRWN39+AGdesLR3fuUjXwdfkwjBKYdQb+RdFQpSnln++zYXS+Y8ZcBQAZKP8eUv3OllCRj+rOSViS9Q80S3kclvT7HMQHA0LKfY5phV95WLW82zY+S7+PDV2zT6//6Ot352P6un6UOSFOMo1Pc/N2NC81S3iK7N876iYrt+AqMTQnnlu48uKKPXnUfcxFTYh1TpJEkMP3jVmfedWvtJ621H5T0e3kPDACGUeaM6ahNZaLNj5Jvd/ujzYB054HVvvtMY5Swvd7o3npTmDFljmlRwuViZvx1QAFK+JF7x0W36APf2Bb+HcVwXOBXq5hSZkxRTkkC09fE3Pa6rAcCAKPIfh3TDANT9zWT5kfD7yPuyvDIV4tH2LzztTXG6Ij5qqoVU2gpbwnPjYGZYkqUOj281pCUz7SOWeAOVUdtmCvnHFPe1lLqOcfUGPNbks6V9CxjzM3ejzZJ2pr3wABgGFlnebLNmI7WVMbfbphhtbsB9x5TWqMEtn5g6sZhjNHGhRoZ0wKFmf3ZfhmACH4d0nGv20KtorWYKpmi8b6WU7/mR1+UdKWk/ynpj7zbD1prd+Y6KgAY0mRkTEfcgYYLKE1rcmu/TYYNUN06phphDm5nKa+bg9sMTAvMmJbv3GmsXGDO3CuMWxk/ceXJ3U4m9/ekYoyCDHs2ZIULcOXUs5TXWrvXWvs9a+0vSNog6VWt/zaPa3AAkFT2c0wzPJC2xpY21o02Pxp9ONIozY+ap2sjzTH1M6be7ZsWazpY4FykWQ/IRr6AAozIEA1ODfd3pFY1M1+NguQGzjE1xrxNzezpSa3/vmiMeWveAwOAoWSwRqgvy3VMR59j6pfyZjOukUufR9g86Jxj2vp61OJcwaW8hT10KYTNjwoeB4Bp0G5+VMZ5urN+IbKskqxj+luSzrLWHpIkY8z/kHS9pL/Jc2AAMIz063HGX6XPY45p+q683vdDbBfOMY3b54gH5VG27pUB3rRY0xMHVkbY82hm/ao+GdEeo3YAACAASURBVFMUhc/c9AkzppVKKS/68ZkrpyRdeY0k/xL2uii9B1AyaQ8yvTbLco6p21VnpjD59ukypv3K4kYOTEeYkNn5HNxc2E2Lxc4xnfXAtF1yPuOvAwpDKe/0cIe7SoVSXiTXrytvzVpbl/R3kr5tjLm49aOfk/TpcQwOAJIabY3Q7rOhTDOmcl15027flia4jSvbHXXpmlHOM/yTFD9A3rhYbFfeWa/smvGnDyBD7hhT3lJelFG/jOkNkmStfb+kcyQtSVqWdK619gNjGBsAJJbFGqG+uCVN0gqX4Uhdbtze7sBQGcVWV95++07dBCm9zpfTXRbYtDinQ6v1zJf+SaqE505jFZack90AMCL3V6SszY/4O1dO/eaYhikEa+2Nkm7MfzgAkE7Whxi/K2+veahJjbo+pL/d/uXkGUU35lyOvyPsMzJntmOO6XrDarUeaHGumv4BUirjyVOerrtvt178zGNVrUQvYAzzMjy2b1mbNy1orppkZhCAWRGUPWNaviFB/QPTzcaY3+v1Q2vtB3MYDwCMVa+Dk58xbVirSgZT69NeofWP6fuW1iI/W6sHsrJaqHUHcv1GPHoWOMs5ps2vmxbnJEkHVtYJTHN27bZd+tVP3aB3vvpZ+p1X/BtJfmY/mZX1hl75wWv0rtc9T2/+sZPyGSiAyeTmmBoz89UoSK7fJc6qpI2SNvX4DwBKI33zo/gNG95yMaMGLC4ITD3H1Hv8fUvRjOl//4c79NbP3jxoDzG3jLaO6WhdeeO33rTQvFZaVAOkGYpLtaPV/fiB3YfD24KwlDfZPtYagZbWGtq+dynz8WG2sHTH9PFLeaX0zf8wW/plTB+31v7J2EYCACMYZbmYONE5pql23d6+9TVtgOu22rRY076OUt5H9y1rz6G17o3Uv5R39K686beNLBfj3b5pkcB0XCqtD0dcWXXSz4ZLmg9TXs68LvRjWPRhavjLxUjZVR5lhT9F5dQvY1qeTw8ADJLxQabuzTEddX7MsCWS3ds3tzzmyHnt78iYNgLbc3ymT3Zz5FLeUbb1u/J6XZHna81DUr2Rvkx4FLNUytu+aBHXsTnZPtzrNUxgStIEk2aG/ixkyv19cHPYyzjPFOXTLzD9qVF2bIxZNMbcYIy51RhzpzHmvaPsDwD6GeaQFw2M4u/jZ0xHLuXVaN1O3WZPOWJe+5aj2dF6w0aC6GHHNPx2LqIZZY6ptz/v+2orWspyDdlhzFJgGmZMvdvCrrwJ95EuMJ2d1xjJ8bGYPu4tDZurlew9pny8nHoGptbaJ0fc96qkV1hrT5d0hqTXGGN+fMR9AkCsYQ56kfLFRHNM044q+ngp4sfI4x8xV9VqPbqTehAUciU6q3VMA2vD7F2lUuxcpFk6TXGvuf9SN4ZsH+22PTBUKW/iu5bW/bsO6fH9y0UPYyqN0v08a2UayyTy1zGVvL8vJVGy4aCl3xzTkdjmJ/JQ659zrf/4GADIxTBXP4MhM6ajlr26XaXPUja3W5iraK0rMLU9D/h955hm1NApjWhg2r696BOYWZr/aFofjrj3Iul1gVnNmP7UX14jSXrwz19X8Eimx+R/KtCp3fyoNce0ZKW85RoNnFwXHjPGVI0xt0jaKelya+138nw8ALNrqIxpj+99/kF09APqqF15m18XapXujGnDRrK7vjAwzbArb3v7Ebb1Ng5sWBwcZkyLK+XNfp+dFxLKouJe9EhZtSvlTZoxHT4wnYK4FDmYpYtCs8K9p9U+89mBTrkGptbahrX2DEknSjrLGHNq532MMecYY7YaY7bu2rUrz+EAmGLDHPKiGdP4LaNzTNOOyj1G9Ouw3HgX56pdzY7qQdAzkOvX4XLkk4SMMqb+G+fmmBZVypt1Nu/vv/OwnvWur+uxfeUr+3SfjbiMafLmR82vB1bqiT9P05AxRfb4VEwf96tebXXl/fT1DxU4mm4EyuWUa2DqWGv3SfqmpNfE/OwCa+0Wa+2WzZs3j2M4AKbQMAeZHnFRRMObEJpVB9tR97NYq0qKZuHqfbryho8fV8o78jqmowSm/vftOaZFd2/M+jzlyzc9Iqm5pE/ZtOeYdjf5Stz8qPU+NQKrQ6vJlvghMEUcgoTp497SuVbK9ENXbCtwNN34xJVTboGpMWazMeYpre83SHqlpHvyejwAsy1186MEc0xHnfPoTrrSnpS3M6bNP9mRwLRhe5e+hqW82RvlJbExWTqp+MA066BpZb35PrkLCmUSVvL6zY9ar3vSl8G/X9Jy3pJNM0NJEJdOH/eWVit0kUJyeWZMf0jS1caY2yTdqOYc03/O8fEAQNLgq++9Skl9jSxLefs/1ODt3RzTuWaAs1pvhD/rv46p2z5mjmmh65i2v2/OMW2OtFp486Ns9+feJ3dBoUwaMdnR9nq7w5flJg1MyYwhTrk/FqUeXGl1rmNaNuX+zM2uPLvy3ibphXntHwB8nVnQfq3+o82PEswxHTEyDZeLST3HtPl1sdYMcFYjpby9l4sxfV6Ekddwy2iOqb+XojOmWZ+ouIxpGZedaGdHu0t5k3400gSmZEwRZ9JKvK21Ov/Se/WGHz1BP/KDm4oeTim155iW8A+gJC44lFP5LuMCQAp+oDXoJCfJSVB0HdNiS3nd9i5jutaIlvKmCeRGnmM6UmAa2WHINT+allJelzEtYzAWV7Y79BxTb+Oka5lOWgCC8Sjjp6JfOLXr4Kr+9pr79cufuGFs45k8zXd1rkqogeT4tAAYm+vu261/+6Frc1lCI3qCPeC+3sMnmmM6asa065t02y/UYuaYBlb1IP71jJtHGO6zwFLezoY7ZWl+lNcc0zIGY+41jrwXrY9R8g677e+TZ0zL91qgeJP2sRh1bepZ4F6jsmZMJ+0zNysITAGMzX/96u26d8fBXLqU+seYQSe//slEr3v6XXlHXlczLOUdLWO6GM4x9TOmgQIbX27cbx3TUWXX/Kj9vTuBKSp4yToeXllvZUxLuJRpOzBt3xZmTHMs5eVkEHHc34R+0w/KxP1N7bck16wLS3lL+p7yp6icCEwBjI07UOVxmPKDnUEnv/7JeJJ1TEfN8LoT+PSBafNrr4ypNHzDoGLnmEa/d58HF5iOfCEgtWwftx6TlSyLuOZH7c9psn34ATcZU4xi0j4V4bGsnDFXKbhjjJ8xLVPzsxINBR4CUwBjE15lzuFgPlTGtEfzHZ9fTup3wU3D7SntgTBsfjQXv46plKL8dcSy4tHWMY2/iFBpfTBGbTaVVl4PW8YToCCcY+pnr5tf03Tl3bdE8yOkV8bfkX7ccIlLe+tcx1QqbpoGJgeBKYCxy6P8Ka6JSy/RjGn8feqRwHS0jOmoXXldoBAGpo1Ga7/txkdxB/y+c0xHzFFk1fzIWhuW79WKnmOa0+OWMUvYmZUepuIg7n6JM6acmCKG+x0pY6DXb47+pJQeF8G9pxUvY1pcNUy3WZ4f/HtfuEW/8ekbix5GrNyWiwGATvmen3dnfnqPw8+Yxt+5EVgdOV/V4bXGyKW81sszptq+o5R3tdVUxz/Ixx3w3UlTloGp68o7yjG9V8a6UnApb14PW8bAtLP5UZqLAX75OHNMMYrR/kLmK25MfI6Tq5U1MC3PUMbuK999tOgh9ETGFEBmBmXRuublfPez0kfOzOixhxhHz3+01QOrDfPNa3eFZ0w7mh+55WL8YKJfxrTfPtPKqpQ37+ZHK+sNve+f79Kh1frA++Z1Bb1s5z8P71nSbdv3S2rPE00y77pTmOUyLBeD0ZRp7mGn+Ixp8ysJ097a65i2Qw1/GTYgDoEpgMwMOrfoOvn4h7dJT96fzWN73w8KAIMeGTtfIwh0xHz3nM5Rxpa6+VHr6+JcK2PaGs+6v55pn9avsVf8R17HNNXmXdv671W7lDf9vjtddMPD+uR139dfX3nfUOPKUtYn3dZaPbTncOrt//Lye/WPtz7W3JeimdPmbcnHIUlHb5ibmeZHZQ6gJlmejfFGFfee59kvYVq418ifY9rvODVu/CqXE4EpgMwM+jvfM0DL4AiR+RzThg0D01Ezpu6JWysdWq3rg9+4NxJUDuLm5XUuFzMoYxpW3fY5sUprlK2755g2v3fNjxoZnry40rEkJWR5BU1ZV6/93+/t0cs/8E1t37uUans/iAy8z6aTfLmY5tenbJjTwZXBGWmpfNnjYZWoEnGqlHm+X9zI3OeA5WJ6c3/GK6akpbwl/szNMgJTAJlJemLfFURlEZhG5pgOKilONsd0mIzpwZV1nfxHX9MXb3yk59gCa/UXl96jj1z1PX3ttscH7rO9fVPncjHrjf6BqemX3Rz5Jc+mlNcfWzWHjOkwwpPNjM81s2748+TSmqxN3gm309Jau8u0+10IEvxOdHLPa75WSXzCOekZR7qK5qOMH4t+c/Td56BCXNqTe9mYY4phEJgCyMzgUt7m165jk802Ekk6jn73bQRWRy4055iuJVguZufBVUnSx6/pLk12j2Gt9MSBFUnNk/mk2s2PooHywDmmrfOBuEC9yK68vS4MuPOXYddk7f9Yw9x3MjKmLiBcSxnBr6y3P89hV+cUXXnd86pWKomD7xKdl6Yy6aXIZZXXRaEsxP2tpCvvYO418tcxZY4pBiEwBZCZgZnK1gG+OwDItpR3qMC0x33qgdWGueSlvGGZ7Xp3EGvDrzYsozx6w9zAfTrudXVzTNdi55j2ftKxCdMR57uOcn7uDzUI2iejxhhVKyZRKe/KeiPzTOSkzDF1weR6yhJzP2Pq9uVfGxp2julc1SQO2CY9sJv08ZdVqTPpcRnTEi9vUxbuZZurtkONMs0xRTkRmAIYmzwzpsPNMfWzQ9mU8lZb0dVKzH3d4wWBdGC5ORfPP1gnVa0Y1SpGq60MbtKuvHlkTEfRqyuv1HwdByUCrbV62V9crb+/4eFcxpX1yWbWWUJ3UryeMvuw7AWmbh9Jfid6jaNWMYmz3JN+XlrGUt7/fe0DesPHry96GCMp36vaFjvH1H2OiUx7cn9HSruOaXmGAg+BKYDMDM6Y9rjfmOeYJsl61INAC7WqKiZZxtQ9fmzGNAzI2xnTYTIv7WU5jOZrlTBQjqxjGhOktEt5e493GDZF8BKns/mU30CkWhmcfVtZD7TjwKqe2L8SuX3/0nrPbrVJzh/b5YTZnm1mnWWzYWCaNmPablTkMhi95v32416vWrWSOPie9IxjGQPrP/uXu7X1ob1FD2MkNqeLQlmI+8jmdRFrmrjXLTLHdMiLaY/uW9ZHr7qv3Bl1ZIrAFEBmkpbQdjc/yjZjOmgcSbvy1qqtQDBBAOD2GZcxDR9L7fUehzlBd3etGEXG45dF9cvkxHblTXGgj77G2c8xlZqB6aCTl8OtwKozS/eKv/ymXvYX38xkXFnKOhhzH8e03aKXvYsn7rVON8e0nTFNWlY96eeXWc5/RluZX9a4i3j+xULEc69aZI7pkBnTcz6zVR/4xjY9tCddB/J+6MpbTgSmADIz+ATczTGNv31c40gSgNQDq1rFaKFWTVTK6/bZeeD1H6veCHRwtRlUDZN58ZcmWPAzpn5X3j7PKauTPiu11zEdYT9+EBPYaMOTihn8/i2tNrr2I0l7Dq913XeYk48sq8xsikAvqXYp7/CBaRBYray3t1tvfRCj866TBpmtwLRamZk5pmUs5Z0GZX5V+3XlJSztzf2u++uYrg9ZcuCWocoj/p/wP0VTi8AUQGYGnbP5Ja3RH2Q9x7T/fZNkTBuBVbVS0XytEs7pTPr4vW4/4K31OFTG1FvMvTme7lLeuIZBrkQ2q2Agq2Crcx1TX61aGXjyH2ZMvfv5a3PWYwK2JCc2WZYTNiLBd8YXXlzzoxSB6XJHqXk9do5p0nE0v9YqRoFNdsFn0gPTSR9/WZX5dY0bWZm7CJeFe0v9qRrDXthpL8uT/Qtd3k/cbCMwBZCdQYFp62sugWnKOaa9skP1IGiW8lYrWl1PkjHtNa42P3hKU8prjDRfrXjLxXhdeccxx9Tf9wjvWbT5UTQQrBgzsEHGUkwp767Wcj2SdGi13rVNsnGl2ixWvSMrnKXGCIGp35G3uQ8XmLZvSzpc9z66Ur0kH+lJTziSMc1HiePS2Asu7TmmRKa92PCrXzU03BvtXucKC8bODAJTAJlJWkLb3ZV39LOSYeY/JskONVqlvHPVwYFS5z6j4/KyektpA9P2SdB8rRpmTP2urP3WMc12junwpbzrjUCHvWCx33tVrXSX6HY6vNrdlXj/cruM9+BK/GMN4memR5VrxrS1v7UUXXlXOjKm7uKG/5oPO8fUleo9uOewbnroyb7bTHoTk3Fm9r649RF954E9Y3u8IpX5UxE3trCUl3ipt5jflWEv7OTZZGrS/xZNKwJTAJkZNtPS3jCLjKm//wH3TZAdcnNMKwmXwuh1D3f7xoVapInSMFNt/OZHC17zI/8g33cd04wyps3t3D6Tb/9bf3eTnv/uy2IfuznHtH3aUatUBr7eLuvnP/+9h9tB/4GV9a5tkjQpyStjWqZ1TDszprGlvAk/G2FX3krzVOKjV39P7/jCLYm2mVTj7Mr74cu36QtbHxnfAxaojEGC+4vRN2NKZNqT+133X75h55i6Q2Yen47yfeIgEZgCyFDi5WJyODv1Tx4GjaMxIGgIAitrpWqloooxI82dczcfvWEu0f3j99386paLcUvS+KWc8cFc7zmm6Up5/eAluavu2Rn5d7RsNLqnSmXwVXVXyus/r31emfShlXSlvH5melTRjOnIu4vue4TmR/5SMVL7RDEyxiEzprVWxnRlvaHlte4x7Tyw0rXNpBpnV97VelDqEtcsWe9vXNnEvQcuvirfaMvD/T31X79GylLePM4ZUE4EpgAyM+gkqt38qPMHGWdMB+wumh3q5rJdtapR1ZhE5Ue955g2f/ADR6YPTMMSU/XOmMYd8PvNMU1zuThJprn/9jHZuY4dJXm9D8dkTPct9SjlbX1NcgKZZRDgL+WTdXAxUvOjRBnThOMIM6Ym3FdnE65rt+3SWf/jSl1x146ux5lE45xjulYPJv71SqqMGVMnNjANM6ZjHswE6XdsTcr9vuXx8SjxR26mEZgCyEzSuZ1d98u8K++gccRv57iDYdWV8iYYXq/n7m7+gSPme45h8L6bXzubH/lzTPsd8LPKmMYOagguoO7soOyf21UTlE4vrbquvO3b9nnzdw+udpfyJhG+TqWfY9r8mmQZo05dXXkDK2vtUBUHjr9cjNtXZ3OTG77fnHN652MHWtsMPeRSGWeguNqYoYxp0QPoI25sDQLTgdxn97hNC+Ft9SFLecOMaS6/CGX+1M0uAlMAmRkYbPXMmGZxgOidheu6Z+QO3Xd2B89axTSb8Ywyx7RnYDpExtSbz7Qw53fl9TKmcc2PEuxzGNaqvY5piu3d+pnRRjvR/VQrZmC5l8uY+q+h3/E4bfOjTOeYes8h65Mq916naX7UOcdUagaUSZZQ6hSW8rqMaWC75pC5DslHLlQj20yqcWVMrbVDZ0wnudyxvVZz+fRrHkdX3t7cZ/eU447U3/zSmZJSND8K8gtMh2mYiPEhMAWQmaRZuK6MWIkzplVjYvf3v699QHc/fmDgY7rX5ClHREt5hzlAWzUbH0nNjGl7HVNvuZi4dUxdKW/MY406xzTNxQS3HmzQ+V5553YVkzxj6meJ60EQzuM9GDfHNMH5Y5YdIKPzmDPYoceNM4tSXsmV4KYo5Q3XMW1lTBtBV8bUdWPeuFBrbjPh53/jCkxdNcRwF1Ym98Utc2AQmzF1c0yJSwcyRjrthKMlDV/lUQ8D08yHFVHij9/MITAFkJmB3XDD+3WlTEd+bH8Pw61j2i2cY1oxMjFzHoPA6s/+5W79822Ptffj3SUuKHlKR8Z02BNO1xRkvtbOmNYHLBfT3r77tlSBaWSTFIGpy5j2mWNaq5rBy8W4jGlHxnjDXFXz1UpsV95EssyY5ljKO9o6pt1Bez0IOt6T4S4wueVi6oENS4Odw2suY1obat9lNa7hh2XvQ3woJz3oL6u+c0zHPJZJ4l63ijGa88r90+wjj7Lb/nVTKAqBKYDMDDrpbHfpyztj2v++g9YxbWdMK6pWujOmq2Epbfw+/bUi3a0bF6phyWPn/eM8sOuQ/u5bD4ZjdFvO92p+NOwc0zSlvNEdDL29e9065zNG5piawevGuuAq+vybGe5Ni7VIV97hTuxbJ5uZzzEdfX+RfY+SMV3v3qbesKkaW7XnmLrmR92fy0OtNWfna5XWNsOOuFzG1ZXXXXwaZkreJGdMy91MqPt1DS+KlXPApeA37XMXrw4sr+v3vniLdniduvtxv295XHShlLecCEwBZGbQH/owY9p5spVJYJo84xM9Ce++r58xjesS2y5JjQ9wI4GpNxfJL+cdVBL4c39zvf7bP9ypoDX/r9I6AVqoVdvNj7wXst/+sjrkRl7XFO9ZXClv51tVibkQ0OlwK9jxg4RGEISBaVwpb5K5YNmuY+qtWZt18yM3x7Q+/H6XYzKm6x0Z0+TLxTS/VivRbIh/YcGVXcd1ZJ5E4yrlDQPTYeaYTvBr64ZepqfgYs7Yi5etGyvEpT35sftc68LUrdv36Ss3P6qtD+5NtA/3+5b3Z7tEH7uZR2AKIDODspbu591zTEc/LPh7GHTuOOjk0jXfaXbl7Q6kXROfXvMIV7x5NO5mY6JrmcY95cOr9bCLqWvm07C2GTy7Oaa1Shjg+Y8fl2Vsn+zFXSRIlzG14ffpM6b+SYZfpiw1Lwb4z+svLrtH/3L745H9hOuY+hlT6zKmczqYspQ38C4ijGrQWrmj7bv5NV0pb/wc035ry/r+7/d2h9kO93rNecvFdI6r3ahKka+TalzBnwtMh3m0SX5tyzz0uLGVuVlTWdjwNTKab5Xy7jiwKmn4yoMhm/kmEr2Ynf3+kQ6BKYDMDJqn5k548y7lTbpsjSQ9tm9Z3999OPLzsCtv1cSW8rqMaLRhjO36eee4/HmmcSe47/jCLXrj//qWdh1cDW9rBFay0eZH6w2rILCR5WLigu0wQ51RKW/HDobepD3H1NtNx30qHaW8H7v6fr31czdH7hOuY+oHuIFVxTSb7KTtypvluUl0jmmGO1b7/UyzXMzSeoLmR33G+0uf+I7+/Ueva42jeVs1nGPafcHGNT/Kd9mH8RlbxrTRfJ+G+T2d5Ne2zKW8sXNMAzfeEg64JMJSXqNwjukT+1sXtYbtzpvDZ9tGvp/c351pQ2AKIDODmgq5H3cfk7LImCYPBPxj3Pv++W6980u3Rn4eWcc0pkvsSkwpr/+YfmDqhmWMiWRM464Y3/HofknNxidhR11rW/Mw282P3H0aka68/TKmXT9K3fwoPA1L8Za5TG/0vbJd65gOOmlpr2MaDcz7lvImOH/MMrMZBNHnmCW/K++3H9jTdWGln5WYjOl6EAyVPXBZD7fNXEcpr3/BpF2Sqsg2k2pcS7Ks1rsv4gySwfW9wpT5YxH3t5LmR4OFGVPjjqXSzoPNwHTYCzx5fD6iF7Oz3z/SqRU9AADTI3IFMjYYauo6Uc/iqJAyY7p3aU0Lteg1On+OacV0B0qrsaW8fsbUL+Vtn8A8xQtM447LcQfrRtBsTOMypgteYBrNmMadlbosVcxP0rzmkU2SnQX7z6nd/MgfR/T+1Ur7QkC9R6mqK0eNBKbWqmKapbxu7cxhtbMgqTaPyDNj2l7HNNAvXvBtSdKDf/66RNuOWsobN45286PW+xZzwaQ9xzTRrktrXONfi2kUNsi4GjPNmn4N8kiY9ta51uuct9TZ0KW8fLZnBhlTAJnp7LbafQf3s87bMyjl9b4f3JW3/f3yWqNrrJ1debsypuv9M6arXsbU3V4x0tFH+HNMe1+FrzeCSHY5sO2SMReYXn3Pzq6utJ36zTFNw8rKuFc64XvmsqTN712n0d7Zuao3x9Q1Oep0OKYrbxBY1arNjGnccjFJzh+znDeW5xzTUdYxjSvlXW8EPT/LkcftXDap9c9aq0zPPWd/GaPOEt5JP8Ece1feIR5ukl/b9merfJFe3Kvqz5+cVDsPrOimh57Mbf9+xlRSOM9UKkspb/IqEYwPgSmAzAz64+4OBF0HpSyaH3m7GGYd09V60JWp7MyYdp7/r9S7M6b+6ctKPaYrb2cpb4/sqBQthWx25bXtg3srMH37RbdEMopxGdN2cNv9WOMq5fWzx+2Avv1z/7lJinRBPrga38RoabX7wkA9sKoao6MWazq0Wk9VcpnluUm9I2jOUtznJKm4rryNwPa9WOB0louHy8W00vkuUPbv5z6j7uNZpozppXc8od2HVgff0TOuUl63JNTMdOUtegB9xF1YarQj04n16g9fq5//+Ldy27971VxH+TmvMmn4jGlWo/KkqBJB/ghMAWSm3zIg0ft1BqbZTo4adILWeaLRedBzQV61YlStdN+/3fwofh+rkVLeJmMGl/K629a9OaYNa7VaD7RQq0pqB6ZSKxhzHVFjmx+5Msrux0pzMcD6/0+4/bKXoVuNyTQPmzFdqwex67gG1qpSMdq4WJO17azqMNnKLDObjchyMZnttrXv5td065g2upa4qAdBxxjjB9z5exV0BKbtjGn3c3cnomWZY3pota5zP3uTfu1TNwy13biXixlGSV7aVCZt7NMwx3TfUrru5Ul1vkZuLVNp+As8ef/dmLTP3zQjMAWQmUhpTMzJ7biaHw06yHSez3dlTBudGdP4wLTnOqb17q68RtGuvJ0H2qvv2RkuEeMHHEFgtVpvhCW8LkCVmsHoXNXImB5deXu+3pJtDH9SYm27lNckfM/8RlCd8w2bY7ORcjg/MD0UkzFd9uZI+gnDRitjummxGfy7Bkid5WT9uMetZDBxzC9nzfqcZ6SuvGsNHbkQbS+x3rB9LxY4nZ+xdilvNGMa1y26bOuYuiWhHn5yabjtTW1H+gAAIABJREFUxl7Km/zxxhU052Fyu/KOeTATpPNv75xXyjvsZzWPj3Z8vROKRmAKIDNBjwyiY8OfZZ8xTVvKG/fvSFdeb47p73/xVv3jrY+1Gzj06Lwa1/xIxui4jQtdj+Gcf+k94feRE3trtVYPtDDX/HPtz9OpN6zmKhXVKqZHxjT++UmSTfGaW/mlvMm29wNJN8S+y8V4r7cLLjfMtYPxw14pqp+VbATNjOmmxVpk22FOaBoZnhznu45pc3+pMqZrDW1qBaY1b/1R/zPiXodfv/BG/fWV93Xd7rQzph1zTDvel+Z9W9uk+FU/vFrX4/uXh9+wn5Tv8dhLeYd4vfz38HPfeUh/dcV9fe5dLm7kJbluERF3kTXLi1jTql0t1Ooo7wemQ77Pucwx9Y9DZfzgzSgCUwCZiWYt44KhHuV8Wcwx9b4f3Pyo4wS71xzTqlG11ZX38GpdF9+8Xddu2xWWpPon6pGMadxyMZJe8sxj9Te/dGbsGBe84Gu9ET2x713KG6jq1lqNedJBr9dbKQNT62dKk71nfvOjIAxSop8T/9yu5j0X1133iPn2a7MUCUyla7ft0r6lNQXWqlZpZ0xdtrVdQjp4rFmuTVjvcdEiC+45rXmfk28/sEe/8LfXDwxWl9Ya2tB6PV0WvrlcTPPnFS/7fsP3n9S2nYfaj9uI/70J55iGgWl3kDtK86Of//j1evH/vGro7fpK+ZaMK2MadrAeYqD+0P7rJXfoQ1dsy3pY+bHD/V0Zp9iM6RCVGDOr42/7XMmaH/nK96mbXbkFpsaYpxtjrjbG3G2MudMY8/a8HgtAOfjHjku++2jXz8P5ZuG5c+uolUnGNHkg0PnjzpPNuK68D+xqrhW5b2ktzIgGPbJiKz3mmFYqRj/13B8Mx2it1cFWB1l/yZr1RhAmdIJArcC0lTGN3M+qVqmoVqnEZkzDBrqxr0F8x9tBXGCaeI7pmj/fMJo96/xeajY/cs/lUCvruehnTFvzTueqRo/vX9avfuoG/ecv3xZZx1SSDqxE55gmGa37XGadMc06yeY+d+v19o5//4u36sYH94YL2PeyvN7QfOsih7sYUm/YcLxz1YoagdXKekMHO5pIdWdMm1/7deXtzJimOb+854mDkf19+Ipt2nt4bfgdedI2OxlXtezMdeUd4fORt/jAtHURa6JnmeYrsNHChLla+19DX+DJ4XNBV95yyjNjWpf0+9ba50r6cUlvM8Y8L8fHA1Aw/8Tov//DnYnuJymbwNT/fshS3s4kk8s6tdcxlb63q3lyvG9p3Wt+5B3YvO39jGl7jmnzoOxKv4LA6vM3PKLT3vMNfX/34UhgWu8o5V1db8QGpivrDdUqJjIv0+duiS3lDYYPTJvLxXTuvb+VmKVz+l1EqAzImLpS3qMW58LmHQ/tOdws5TUmLFNtl/JGM3WX3vG4rt22K3asWTY08S8UxK0dOoq45WLC0sLOzkaeRtAqC69Fy8Lr3nIx863AdNfBZrdavyy3e7mYdmWBP4a49Wfj5pimKZ+7+eG9+vAV9+kPL75t6G19aQPMsZXy1gNt1l698cCnE581T/Ic07BjewkjhLgRlXlObFlY2Uj1SenmmEZOGrLfP9LJLTC11j5urb259f1BSXdLOiGvxwNQnH1La/qP/+tbemxf/2yN031CmsFRoU8WrlPnzztPhupe9qhimj//Xqukce/SWns9zh4BVqT5kaInMFUXmFrpirt3SJLu33koEpiuNYLw6YSlvK3sln8edHi1rmrFtOaY9gsGYl4E/2LA3f8Uc4e4bdoZU5PwYoL/WsSVc3Z+FGreHFMXmLr5tVJ7qRiXGZWaQWrDNjOmLru62tE52T3OuZ+9Wb/aoxNrlifF/vzXj1x5n3YcSPa7kWzfza9+Ka97zTrLbX2uDDpspNV6XeuBjTQyagQ2XEYlslau9/pcdc8O7TjQvE+tIxhej/nAdWZOpXRZCndh5/5dhwbcs7+07/XYuvI2An1w7uN6w+HPS9tv7Hk/P1AuKi7dcWBFP//x68OLGWm4t6NM8YG7mBj3WUkxvbu08rrYYq0iHcDLVsobjUvL9MmbbWOZY2qMOVnSCyV9J+Zn5xhjthpjtu7aFX8VG0C5feXmR/Wd7z+pj19zf6L7dx2TMsmY9s7CdT9+Z8Y0+m+XiZqrtrORLjDdv9wjY+rtIrJcTJgxbX017TG426w6S3T97W2klNfvxLq83tBctdWgqU/GNH6OqZfF23l318/jWHlzTBOX8nbPMe1sVOVfVa9UjFbWA119z86uzrpSO2Pq5pJK0hMHVtQImkFLZ/YuDM4TnAiF2yR6Zv11llY/ti+75j39MqZrfc6Y3XvhLnK4z1Q9CMLXaa5aUcP6GdP28/Az+b/x6a266MaHVTHdDWDi1tRtN76KrzKQpJseelJv/dxNfd8r9xxcUJxWkDISGmdX3kXTKlfuU90QnedezMn1vU8c1E0P7dW9Xsn1sMpcyhv3GWlnTCc/ZZpXlrp5vGi/PtHmR8UHpiin3ANTY8xGSRdLeoe19kDnz621F1hrt1hrt2zevDnv4QDIgctSrfQpWYyWdHYcZLJImA6RMe1ax7RjAxf8zVUrzdJSa3VfKzDdt7Qers3ZiDymlzGNea7u5N2Y5vIugdcYwlobWQbGn2PaXMe0Xcr7tKdsCO+3tNZoZ0xjMmW2z8lepJS3nuwkP7qfZG/aSr07qxd5uTt2UzVG+5fX9Z8uvFGX39XMKO9fXg+bKLmyWD9j+vj+Fa3V22XNUjtrF5ep66UxRBA7cF8d+3Cda7Pg9r3qvbb1cKmW3oGpe+06lx5qLhfTvI+bY7r70FrksaTOCgGXETFdganrKm1jgqbIW9/xwfyNT2/Vv9z+hPYu9Z4/6i5MuGx6WmnPc8dZyhu9dBUvz7nMSbnPhd8xe1jhmsuZjChbcdm0sFHauAeTg7wutgTNbnmh0dYxjb9964NPRi5+DrdPrxpkgsvgp02ugakxZk7NoPRz1tqv5PlYAIrjTnSX13sfIPyTzfAgEEZm2S4XMyhz0LWOacf93Yn1XLWiqjFaXQ/00J4lbZirqh5YPdlqvBJpfuRtHzfH1D9AV41pncyZcFv/wNi5DuTqersr79OPOUL/9d89V1Iz0Jirths0dXK3DFwuppEwMJUduvnRSsxyMf3mmFa92i+3xuT2vcv60OXNpS8Or7qMaTswbQRWj+1bUbViNOeWLnHLbcRk6noJM7qDn9ZAnRcKKhXpycNrkS7F9+86lOqkqt1t2Xs8lzHts7ap+/08oXVx41nHbwrH6j4/c/1KeWNO3pqBafQ299zjOhPbjuDWH2/4q9IjCxUENtKVeRSpS3nHlTFteIFpn7+Pg96fcXCPeniUiwUxfxs6bd+7pF/91A1hw7hxiW9+1PzaZ0r3xEizhFMitqP5UbXS7omQQcb0if0resPffkt/kHK+ub9HAtPyyLMrr5H0SUl3W2s/mNfjACiey5j2C0z3HGoHpt1TTLNtfjTqOqZuvqYr5T24WlcjsHr2U5sn8q7EtNdalX5XXsc/QFeMaXYsDDOm0WVV/KxX2JXXm2f51KMXJUnLa+05prGlvH3mmEZKeRvJTvSaF8DdGWTCOaaRIN2NJxqc+K9NtceZ3iN7m0GqyxIeMV+L/Hx5vaFKxajauirvgqJ+S+Z0Cl/2DM5R4jKmZ77vcv3mZ26S1Hy/f+ovr9F5n7955H0395c8Y/ryZ2/Wp99ylv7gNc+WFFPKG8SX8sb9XhnT/Z653x8/OA8vEHj7+9x3HtKz3vX1xGuU1gMbdmXu9TlJKrxIMux2Y8yYJpHnskRJuc/O4RGafCUZ+40PPqlrt+3Sg7uXUj/OUNzf55gfjesCxTjkWcrrV1PM1Sr6gSPnI53Xk4q7uzvfuG37vlGGKal76gWKk2fG9Cck/YqkVxhjbmn99+9yfDwABVlsBU39sj9Pess7dB8IRz8oRDIxA87pukt5oz8PS3lrlUjXxWe3Mkwua9NrHVM/yAznmHo7MqZ5gut3uF2tBzrxB5qZrPWO8le/lFdqz0c9vNZQrZUxjTuw9suYyqYo5fW+DxJeZl9udQ72g+e1RqCqGvqj2ud1lKLz0noFHIc6ln/xy8LCbY3CjGlnYJrkvCMMYgffdaDO98MFa64jsHstrvve7qH3HReYDjPH9Ij5ml72rM1ajJTyRgNTlzH1A7G4z9hctdKV4XQBqT+WuPfhH299TJL0/dZSTO5juudQ/Oex4WVMOxsuDSttgDmu81e/TLtf3XGvee7j5P4ULI2QMe037cBxFzfHHYDHZkwzrK4oWm6lvEF0HdNXPfd4/eKLnq5KJZvmR66RYNw0lkS8zWY1Y1rUvPR+8uzKe5211lhrX2CtPaP137/k9XgAijOfoJQ3GphKD+4+nKhULanhMqbRf/cq5Z1vlfI6/+b4jZLaa2nGdcQ8Yr7asY5p8wedWcHoHNNmw6SNraVO6kG7IVDYldebg+qaSCyvecvFxB2cY7JU4Y8ipbzJ1oS0XsOmpCeHK+uBFueqrbm6zdsOrtT1b8yjOrf2T/px3R45eXFX2E8+9ojI7W5OoYt1XIfHpx+zIbxfxZtjWg9LebuztL00guT3HaRzH092rLuZ5EQ86b596wm68rrld1yjqHojCIMLV8oblzGNO3mreq+5086Ydi814489XDqpY7ev+tC1sZnfehCEv3sjB6a2+/cyiTxPYA+t1vXhK7ap3gi03kg2xzSynE9BJ5nhHNNRAtPwa+/n4KaDjDtbGTvHdIgLXmWXweE3fr+K/n797AtP0O+/+tmqGjN0V+O4AMp99tP+Tvrv66xmTEsYl46nKy+A6eY673UeIPx/7/FOzOuNQK//6+vafxQz+OsYmWM64L7Ju/JWwpPuE56yIZzXeDg2Y9r8fsNcNbpcTJgxbe8/LOX15piuNdqB6VpHt1V/7UnJz5jWW4FppUfGtHlb7M/8jOcQzY9cKW+ijOnKfh118L5mYGrar9GBlbo2zjef+7yNlhG7gONHfnCjzn7JyeHtLmPangvZfA2OmKvpqUcthtu67V2A1p5jOni4cXM30+q8iu8CU1ddMMrJdb8TsSRzTF3pfRjEBzbyujZs/BzTuLe8udZv9Db32q/HlPL6T9tt1whf9/YP3bJAPj9jGrckzTBSl/LmeCZ35d079OEr7tPdjx9sNj+y3pWrHnot5zNObgijlPImuVATN7d/HOLGFPeZnVR5fW6sjZ8v7hoKDiPuLXfHtbil0pKOz4nrJD4LyvjpJTAFMLJeBxl/fuFeLzB9/MBKtKtmJpdsu4PEXuIOcv7JznojUKU1d67iBUouw+Pm6sVlTBfnOjOmTf7x2ZjmCaVr1OrmmG5sBb7r9fZ+XTDhzzF1gam1zaxXs0w2ZomO1k2xpU4pMqZSOzC1SQ7kn/kZvWPbr2pxrqKKaZfyHlxZ16b55nOY11o0aG+93gtzVb37p5+vN245UVI7Y2pbmWYXVM3VTFgC7d6vivGyn0HyE8h2Ke/oh+tGEESel+ty65a5GaUUsN95eb85pu1S3mZg6oL7esNG5pjWGz0ypjGvYa3a3ZU3rkNwXObanbTGvRZL693Zt0Zgw+BnvRGMFBRkvY7po/uW9Yl/fSD1eKRmky+peaLd7Mo7mP+7XVSQFM4xHSFj2uui0DfufEKX3vG4pHZgOu6yy7hHG6XioWzym2NqYysSevVE6CdujO4iXBbZzlnNmJZxGR4CUwAjSxKY7jm8pmOOnJckPfJkR/OKjLvyDjrGxJ3A+Sfda40gPGl3pbw/dPRiGAy5E7DoiXorYzpf1WpMwx9/PbdqxbTKYl3GKtDqeqANrcyifwU4XHsyppRXajbVaXY5jHme/TKm3hxTmzBj2nweTYmyFo99V1IzWK+aaCnvpoXmc6h1ZEzd6+2eY3ub5v0agVXVtMtHa5WKTvyBIyS1S0Nr1Yp2H1rVqz54je5ura04TClvJhnTwEbKTZ883HyNXVZ8lJPrfs/lrZ+7uee+lzoC02qluXRRPQjay8XUKjq8Vg8DQP99jrv4UatUugPTwGVM/cA0+lVqf5bC8Xo/W4rJvjUCG85jtHa0k8m0QVyvdUP/8ZbH9Kdfu1v7l9N3jN3eavAVWBvtytsnRO1sJFYE97CjZEzb+4o+iU/86/d1wbXNgH/v4dbfgHGfTMcdL8KLKeU7sR9WXhnoILDhhUZf0q68cRd+fe73P3YaSwL+EFLPU5X0yMFH9DNf/RntXh6+X0ARost4FTiQHghMAYys1982fw3LJw+v6riNPQLTLJofed8PCkL6NY+RmhlLFxi54+riXDUMhlxjEj85FZ1j6gV9ra+xpbyt2+oNN4+0orlqJVLKu9zKHMWV8kryGgt1Bw3uZYgrdfLnmNrEc0y9Ut4hLiYcUWuv3SpJB5bXtXGhlbVTPRK0u3mP7rV2JyeHVuuytrnepr925ny1omNbFzzawarR/bsO6b6dh3TrI82OjUnmNLn7ZHGwbgQ2MvfSNW4JA9Mw5ZJu3/0c6BEcdZbySs1mUZHmRxWjfUvt7f3PTtxrGD/H1AWm3UFcNGOqyG3+s4prpFb3MqbN/ae/oNUuLR4yc9Oj2dCh1fWRx+Qypo1A0YxpnzEOmgM8Du79G635kft8RG9fXm+EF932tC7ujD0ujbktrACYggrQvD42DWtjm9lVjEkUDAc9LgI5rjIj7QUqf6tRfnf+7q6/0wP7H9BlD16Weh/jFL2IX77IlMAUKNhDBx7SaZ8+TTc+cWPRQ0mt18mdH6A92cqYGiM90joBa5945Z8x/dR13w+XpYj7eeTqaRBorhX8tUtLK10H2biT1MW5aiQgj3tpKqZ50HaljK50b6FW1Vy1EinlXQozpu0/135gUWstaRN3xdfdEr+UTJquvDbcqx3iQH7EXHte0Vo90Go9CDOm84oGUWHWs/VaN7wT1qW1hgLbLIF2SeNa1WhDKwPob+uW9AnHPuZS3mbGtP2eucYtLlvpTmjTPFYjsH3XT+yxDKiW1xqqmOhnqVY1zeZHLmPqZeOP3jA3cJ3MuDmm/Up5/ffBXZCI+yjFlYU2Ahu5PemSKnHSnpAFPU7q3BzoUTIv7cDUdjy33vuMzAEueI7poZFKeVvfdDyFpbV6+Hd2b+uCyVX37NTt2/enfqxhxb2s7fLz8p3YDyuvDHQjUFc1hdTKmCY4fvTqeu+4C7hZXJCZpVLeMgajPgJToGAuIP3aA18reCTp+VeNf/P/OyX8Pq6U159rGMqi+VGfOaaP7lvWn/zzXfrNz2xtjndAKe96IwiXI3Enz50deju3cfvsypi2bvcP0BXjSnnd47WWhJmraK5q4kt5vWD0+KMWwu/DUt6YA2slqOssc3fsyXKj4ZfyDpMxdd8nL9s7oqZWKa8NS3I3tgK0BbMeCaT8gFOKnnQcWm2epFaNCYO+asWEgbp7D2rVSldg2rV2bZ+seR4ZUzce9z6OcjIYWKsN3uehU6+TrKW1ho6Yr0UaktRaSw2512POC1qPP2ph4DqZtarpKtdrNz/qzrb6Q3Nxe1zQuhTT4dufYyr1XxpnkPaFgQQa61K9e36jv+2h1fbc13TjsXp0r7twZrXaCBTIm4TeQ3SOaaqHHpl73+LKrxPvw13w6nhHVtaDZnOuwIYXdz553ff10x+9LvVjDT22mBc2rpnXpMqzlLcaE2VUTNJSXu/72Ixp87b0zY+yqTYwQ/f2Lpb/VMv4+SUwBUZ0+UOX65adt4y8n0m+8upG/vynHaVnbt4Y3r4aKeV1gWncDjIITP1MRmeX3dY4DnashenzD0xr9Xa2y+/Q23kCHsScpG6Yawam7jHc7V2lvIFfytvMIs5Xm6W8/sltXMb0iPmafuCIZhOdasWo1rGN8zN7/4++uPA+nbxyV9fP1vzmMo3k65i2u/IOkzE1Mq0lAtx70Krq1oKiAWQ769lu8OQcXKmrYa0qpp0lbQQ2DEzda1CrGB1YiWZiO4e7HnMy0+h4z0ZRD4LIHNPOz14wQhBcD6w2zNd6/rzXSdbyej2SbZcUft7a65i2x3zkQi3yPn9rx+WqzO+IbF+NmWPqHt8PamNLeXt085Z6l/L65aL9lsYZZKiswfufKb3/h7u2i2RMW6W8aTMvuw6tRjJAk5UxbT6u61aeRq9mQsvrDQWB1f7l9eIC75jb2l15xzuWPOT1uWlY23UxV2otlzZkKW/c3d3f+7Qxpb9ZfYSLXOH+JuTD4J9rljF7OpGB6VpjTfftva/oYQCSpN/75u/pV77+K0UPo1Duj9v5P/+CyJXQ1fX2eob7ltZ1zJELse3js1/HNH58vdZNlLq78rp5nO5kcb5W6Vo7MXa5mPmqAts+aXZ38a+qhqW8rX/Xg9Yc07nWHNN6+2dxgakkPe0pzU60tarRhrlKpBOw84Prj0qSjqnv6PrZ6roXuCXOmHrtWIY4oB1Za145t9aGAdqmVmA5r3Wd0Houzf02v7psY2fG1NpmWbAriV1vBGH20F0IiSvl7TwAxwU1cWttptWZMW2vw2ojX6VmueJz/tvX9Y07n0i87w3zvQ/fvQLTtbrt+hw1S3ltu5TXKz+er0aXIbrogQ9p7ik3RLevmK6TTxf0r3vBVdy6j/3mmPZsfrTWCF/XLEp5E+U6VvdLawfDMTj+x+TwkBnTD12+TX/w5VvDf7vGR1Lzb8Oat+RUvysl0TnABQWmrSGM1pW3+bXzGSyt1VUPgrB5WBGmvZQ3r49N/+ZHg7ePq0jy/T/23jvejqu6F//umTntFt2rq2pZluSCbWzABozB+AEhEOCXB/wCIQSc8ggkwAuh5sUfhxQIAZyEF0KcBBJ6CQE7ocdg415l495kS7Zs9a4r3XbalP3+2HvtNnvOObep2Hf9I91z5szsmdmzZ33X97vWmk1gCnDTd2bBmBblThyjZp73sTh7j0tg+tOnfoq3/uStmJAvigVbsOPZjjcZiM9ooXOLGrSkc3VYFmNZ4jCmXC3oc8GYFr/ElBPK/N8DxVJecn7LHsbU56QSSKJeptc9ttc6NqDzLemF1koypBmXOaaulJeKH9lM1wlDEphKKavZO5WsxUR/z1LazH3XTk3G1ANMJ/cDnz4R2HmPPkdoxhTgPTvCtYjLgk9cMZn9ZZ1j+lsvXqu2JVBDUl43j4/yK/skYxinGqTRvYo8+jH3lsceUDOnVXlT7jCmsfocsNnZrQfraMYZPnvNpp733UnKW3RfqNWOaZHsgavaxUR6g3IU2EXBshbA7OsWhSy3TzrHtpVjqsdARoGiJM1f94aHfUuyDFPtRKkF4jTDUwemsO6SK/Ho7nHvORdZERDqZkV5bxMSlPUKTP/xusdxxd071N+UXwoIh96uytthPAVAWX82/64nHaHeSrF7rIGDkzMBkTQHjHU842jGIv95dGrm1Y5na74r6Au0HK82XwGN4uJHvSlu7BoO+e1nKuH12Vxcg+MlSLFQ/GgebLw1joQnmIqnjvZQFmzBFgxGHmVgv6iJwaL+cyP9ZS+zNzd9TM3x2H/TmMIOjOlnrtqo/h8b7WLIuS5F+RxTu5y9+D8xecQW/53cr/lLkWOqPyM2jaryeqW8JXu5pqq2URigGum81n3jTRyQjmGLiVzUKMs7iraU1wdM9wDtSeCAVqeIMRPTlGHT3gn8n/98oCtzVYuYzC2GkWMqzmdplePC05booUiQQqDOlUtm0tkxGdNq5Eh5w7wzlGdMPX1f5/AdnWYcoTGOcSqOI50ps78qOUW+QiFF+54JMPU5ipEMhKj8XIMxrUShAmJJliBDBjB731HAcs+bqpaZ5p8PX1VeuhemY1fcLibFcJ/QgbeTTLHM3793R277Tjbj4keWfF//n9jCmRY/MoEpSXk7tYtJ0gznffJa/OC+nXpsHXIh59NMKe8Fl16PF37y2mnvQ0l5jc8o2JZm/Cgzpp5AZlb83fFm83UO1NrLtV6LH9mFxvLfz6YCtjC901kxpnNELtywcZ8K5s+nZQXBtWPFjktgSm0K2tNoCr9gC7Zg82e0pjPYLxwCptQqg9p65Gyuc0wLGFNy/H0v4svv3q7+3065AqbErFXCfFVeH3uiGFOneIudY2qDB3Jqy1GASEp5yagIjCvBJAY1CkS+JeXknf/p63CedAxbgWBMy1kDrrWTLjmmFCxomwFAzbgxAH//8034r3t2YPsht/2PbX2RqKTLOVcAbXGfYDzPWGrLu8lBCCVAMq/TeDNRTLMJTEl2HTug1jR3TvgK53RrTzAdc6vyus3gzblD5+gD1EX7dnNF3e995nMUI1nRmS6H2YqoEgUqUKDft/Z1CwOWYy58fUzpdC0pr/xXAVPjOx8wbcYZ2mmG4VpJjkkHkKYr65txH1NPiyjAqMo7QxbHlPJS9Wq1e0/gbqKZ4MBkC9++c5t3PHq8R4Ax7ZE9fO0/3Ix/v2Or9ztdAEt/RmuaAKZHjzH1Wa/nfDzYfFXlFRXU/e1iejlmt/zpuZTy+tqtTX9/Mx/P/dsP4/e+dhcu/eljsx5HN7Ou5TE4f49LYJpw8QJo9ViwY8EWbL5sLiONx3PklZiDgNmLXkuCKsWYDpTdH8p/55YxdZ0FYjHIJ+/mrCVppvqYasbU7tcoZI7mMcU+qShNPvJp5JhKKS+9nDVjGqLsSHmbKsfUBiLEoEZBgEopsFrUkLUgGNMyz6+VsTE+5ssxzeT3bb8yhYErmXK3yHU11M4I5X6ePCKkyOuGZRGf6z8FXP9Jde6lIM9uTzYTZJlgvk0prwamlGMqZcJhgKq8TrniR75KxZYj1PGUulpRSxc6rpINwwTjvTKmWUdgWizlzbeS6VT8SMjKHWDqSHlLTh4qoJ+32PjcJ5OmQFHbcy+o56q5LhLbbjKmNN7pAsKZVlUtCl5MKinvzBnTmqou7eTPetZHH7vuu+9HQqrQTuldAAAgAElEQVTnm25uYI5zjo17J/DnP3zYuw8fY1pvzw1jOtaIPb2ztbWTrKPqw3cJ57JQ2pG08WaMR3aNOZLp+TlWJ8Z0LosfAXMTSJypUWB1NlLew7Li9Ob9kzPeR69mjnJByjtHlkqHaYExXbCjbRQkMe1PbvqT47r1y0xMMabMz5iSUzHSV8arn70CADAs88SEzQFj2qHSHL3AQg/Y8VmcZirXjhyWksOY9pdD62VI/6tJIOSVLEsjKS+9DKd6kfKajGmW4Zf2/zsWYQpRyFCNQrSTLPeyJylvKcvnmMYmY5p51lI6t7hufaSlvFxt0k3KWw0px1SDi6rEo4wCjFtuATbfoEGaBBx/v/MifCL6GgDh/IuqvFoy3U4yVJDgp+U/xelToh0QMY99lRDrlvTLsXPrfvmlvHPJmGYWY0qWKimv+Zk85x6lvEmBlPc9Lz/F2l/+2EVSXiPHNHSkvARM5RxhzrMaBgxrRvqszzoVP7L6mBpVqQEXlBADaTLmBEx1jinlE09XQjvTFhk+ZznLuKpIm6TiWn748vtxx5MHe97vRDPBiFSUpG6OaY+BO39bkyMBTPPHMKXJQHfArhg0Y18EbpNZMqaXXfc4fucrdxZ+/4K/vgYv+lSx/NgHOHw508eDffuObXjTv9yulCvA/M2RjKND8SNxzEd2jWHdJVfisT35HPFu67H5zM8kIGT+4mgVDiMLPakr82XmcnIszt7jEpiSlHeBMV2wo22+4MhVW67CJbdcchRGc/SMXhqM+XNMD0rGdHF/Gf980fPxw/ddiMV9ZV38aC6q8prqFGdxJ+e2k5TXNEvKS1V5Q7stRl858lblJSbPZQwaRk4nSXlJJkkVPSulAFHIEHeT8j51I355xxfwidLXlJQXQK4AUsKEA1/pAkyZL8jnkfKaHEEAXeG1G2NaCbhi0yeaCfrLIULKVUzkOp7GQFy3c0w5x9J0P343ugaA7GMq5WGmlLcvPoCzgq14z+F/0L+FkFW/6tnLAYh5ad52H5gu6lE5EyMQ+KFXP8v6PFf8iBvANGCotxO89V/XY9Pe4uJ+WcbVPTetvxKpY3vHxHmOaYsCYkzF3yYwLUeBGqd+3zrFj2TxrX9827m5czTnhQJxFjBlue3I6vKZMJ3P8QbJwKWUN9FS3u/etR33bTvkPW+fzVS+aF1b+d96nOo4TpahGWf4wX07pwVMM84V+5tmHHHKNTDNPPm2PeaTHgmH23cIVzHiK85mWifGNOOCMe1RUJCz/RMtjDWKge1kK+n4ve/8ZtPuabZ2++YDM25vMtVK0E4zPLjjsPps3oBp1qGPqbx+P3tI5Ihf/XC+crylYPHcBHPd6Da/fGae9kxzw4G5yTH1VaGfL+vU8/1YsOMSmC5IeRfsWLG5mIPHW6lxn9HaRpVXycg5OTTVxqJqhFIYoFoKce5Jw7aTMcfANC/bzOT46PvOi3GS6h6UJDMsRw5jWgltICP/WyWQGGeO1E+/OOk6uVJe6mPaTjMwZNhSvQivn7gCgCPllRV1hyBAYzXKs7ScayRW4RqYfvHmzVh3yZVoGUCZ8UztU+8gL+UVjKn8DTje/ILVYpOk8/UcSEZxarYFG/dMYHSqjcFqSd9zAsVZAsR1FUSIggCoj1r7mWgmogUBYwqExWmGKBJMUx+v698CqJZC/Mlrz8Q5q4es6w34c0y7VTidjqUZRxQyvPGcVdbnKsfUOFZiVCK+88lR/GLLKD7900cL912UYzpAwLRg8JznGdOSahfD1d9kVJWXc444lY57rviRuNYm4KVzIymviDGI//v8rv/7800ikGN8R6DE7DfbScoLAD80CgF1s5neX18fU7NNSpJyJUOeDiubZjoYRkEt9WvuAaY9ynbnS6Zpmee47vgoJaHodUfbm+dA1zFJM4zKdmMzMdFyZvo3XLfGyn+nWxwdWcd+8/5JXPSlO3HTpv0z+j2tDfdt08B0Xqvydil+RIyqN9BSkM9NZrKkTU9Oejcz792cVOWdxUuDrtORDiQdiznSxyUwXZDyLtixYgtzUJjZE9CS8saaMV0yYDsVAWNGjukcvBQ84yHTOaZ5Ka/53qQXS2oUrnnOqkUARN9Qs6hOrRw5VXnl50bxI7OAi+m8kqyVrpWS8pZC2TsyQ0nm8r2z+U35nbFcy7GFyJByzZ6ZLG29nSKAZFuhAyiflsUVptrO3HWDLAQcTSkvuJJynrN6CG96/okANMgrcsTPfepL+NTUx/DEvkn84L6dWFSL9P6JMc0SoF23QBrG7UqrQsorHBsCZu0kgyxQjBpv6N9Cs8zMud6Av12MD3TM1BLJmLpAkJgOc//E3s62Ki8B0yQVrWce3jmW+517DCpeRPcuDGzGlH6ng3D2dSHJtXmeFAhShcOi0FuV15wv1z26z67KG3sYUyk/XD4o1pJJp2/mgcne1+OZ3l8fq272zI3TzJKgTme/BExVfm0HKW8n2a7bOqvuab0zl9YLU0tBs5KPQkPn4kcZF3miI/0l30+72mQrmZHDrwQ9HvCpgPSRAP6GUS7i1AyAGKCfuXu2anXBfIGTNCvoY2owpqpSfpdAi+95NVnjTqkzvdhsckznwo4kY2pJpD1ze/bVjmdnxyUwVVV5fXlRC7ZgR9DmkrU/Xnpg+cxkTP05pm2VP0VmOexzwpjmQSIZgR1fHkef4eDHhgSRHO6P/MrpuPID/wOnrxi0nPr+cuhtAE6A4Rvrt2DvuGYqTWBaK4eYaukovplHSlLeQEomCQiWTYeOiWMEEICCQFrDAKZjjVgwoQBew28Hdj9oXZO266y6QRZV/EgXYzBzTNcsrqlzjdsxfvbgDjz/r6/Bs/7sp/jctXY/zv7mHvRxnXNmMaYmMI3rWFQVzudQrQSM2QzYRDOWVXnF9QeA333pOqxdLIBKCPs+PwvbAJmTKnJM9b66FT+arYMgghssBwR9jKnqv2o8E0UQlXOOJONKymzagEzcrbdTXHbd43jLv95uj4nnc75ETjNHJgG/OQaacyk3gKnbxzTIA1M6R3ruKqXAW2zILI50//ZD3j6mpvM5VheMKfXwHWvEFnDdP9H7ejzT22v6bLTmmAA5TjP1HE5nDqUZRymygamaBR70k3KOU9guvDHQ95jWIPO4dzx5EGf95dW47YkDPY9luubtC+2cO51TZTrAVAH8DK04VSqJ6Vq9nc4KeHRmTI+sUdrHTHOkUy8wnZ+zyDowpnRMmg4+xrSb3N4EUI14dlLe2VTlJSnvbHw4zRzPeBc9m532ZH/3/Xt34Fl/9jNsPXj02nEel8B0Qcq7YEfVnrwJ+PgQsOv+3BxMPblAzwRTjCmzASJJeX3AdK4lzOb66rIJBELIdza/Np0d06EkhzsKA5y9agiA7Xz3lSPLX6RdEnt5y+MHcPF/aTA4WNXHWbGogn0TTfUypKIuZvGjSLKdAbjIbzUBRSCOEUK0+SCZb9MBpoEJ+P/tZVh3iS7K5eaA3fPkXptZUTmmbvEj/T0ViDrvut9E9da/xVgjRpxyfO5a3fsUAKrtUURGbuJg1WBMUyPHtD2FD/zyafjE/3823vC8VUBTMH4ZArz45BFZlVc4O1EY4MlP/youfu0ZCBypYykM8AK2Cf90+H3AHZ/PSacBf1TYdAp2j+XzcqdjhYypYlryAZzQUyzJNfpZOcpvS4zpIcmquCwC5xxuR5paSfTAzSSAN+cZsfRpxhFnlIPnAlPJ3hvPs2JMSQYfBup8TSfYdAb3TbS8+YWm5Jqek5VDFTAGjDdiqxrvdJzTmUoxfQGwnJS3PQNgyjnK8uZo2WsxY5pmHNeW/wSXlf9Zj4ceKWOMt28+KP+dT2Ca/yzPmIpzKnnmrbm9bw5kmfi9LxjTi031yJhOR4p5tIof1Wcwt0yj9ccMpsyblLeIMfVIeb2MqaVI8jB7xvduTYdezNzjbFvPzNbo9GYacJjesQzG1DncVQ+LnN9Hd+eLUR0pOy6B6YKUd8E62UR7ApfeeSmayewcy0LbdJX4d8ut1hzknCP15AI9E4wWN8Zsp4iYoPFGrJgwMitwPhftYjpEAV0pr/kiNoFpy5Dg+Vp35HJMPcWPzCJFT8jS7296/ol454Unq8+XD1axb7ylxkVSQNEuJkCcZQih55Lbw1QxpixDmmUKDDcMedehqTYYiudjnNjFPj7wrTvwwe/erz/w5ZgaUl5ASw+r9Z0YOvRI4bEq8ZhigAGXMaUc0xgAR5XF+N0L1gmHhRM4zzBUK+HurYfw8w171X0IAibuqTN/woBhDdsn/th1nwCmmcNSeoAp5xyDcj50683azUgObs6ZUsgUaPM9J1HA1LiK3BOX/ScLmA6KFBVy8Ul5+8oh6u0UGRfPh48xTUwpby7HNM+YqhzT1GRM88DULmxkj5nmsi3lFdsMVEoYrET4+Ya9VhGrqVbvktUZ9zH1yOBMKW+SzUzKm3mkvCpO4XmvZBkQOPdCXWNPG6v5NN+1LGJMy4WMaX5fJmPajDPUSjNjTKdaqcqV7mRFgY1O53eka8dQEb2ZFu/y5iHPW/Ejf6XxIGAqCNgptzL1BIFMM9MxZsKYWseaBSCci3YxPrXDfJl5CHfMlZKukXG07JgEpu+//v1433XvK/yenP8FxnTBfHbP3nvwH4/9Bx45WOwoz870QmvOwSRLkGTTz+WZi4puR9t0H1NmSd2ICWobvSbJLAd5LqS8HdrFKGde5Zjq781cPZMxLXnYK5sxLSh+ZOyPnO23vegk1dYCAJYvqmCilVgOLSBYsFIYIE64kqUCTn4pYDCmMsdUHvNwXTv3B6baSsrrs3biHJsluH+7Loihc0zd4kfKg1ROJstSDLV3Fx4LAEosBcGtwWpk0Dsk5SUgbABC43mi65pmPM+2O89dKTSamkjpb8a7t4tJM461S0Xrkx0d+h72YhTcMIe6qFpSc8aSvFM7o5B1jPxvOTCFV37mRgC27BcQ85jm56GC1ho+BqNWjiQwFYyp6UiqvKeUqyAck/OS2CuSvJv7NavyCnmwlvKaTpHdCiax7g8xQ4lV/Ejc575KiPFmgsf2TODrt29R33eqrOraTJV7vmd+ypLy8plJebkHmDL53Hue404Aw+fQzyeA8kp5nc80Y+p/3/mYIpJzZ1xUXXUZ016DC1PGfjqZm7Osj5P/zBdoORI2GynvI7vG8M31W62CYWJfczK0nKW8IMDLYOS091r8KP+9uX7MiDE1g2RHOcfUV/xrvsz2lezvqJBivg/7kbNjEpjeuP1G3Lzj5sLvCZguMKYL5rMp6UjPBCROz7gFTFtpy9vX9JlgtLjlq/KKN0uSZUqmRhYwGzz0ajsPN7DHkVmONWIrwucutkrKK1e8GzfqioYmYKZ9JBlXDrdpptNObWHcF4rJbtI4Bqp2pH/FYFWdi2kqxzTNLGCaYxmkwxogQ5rp9hl7J/R1OTjZsqW8jsXOi6eExK5sSPekbQM086rQtcuyFKtwAN0yrgL5/SKLMZVjpqqvsQlMjWJOLQ06cqSLI6GPgsAqHEN9Y63iRwXAdOWiKspRgO1OH8bpWpqJys7mnBmqlRRo8xU/igKmCob53PfH9kxgl5z7rsNXK4fqWCTldY3zPIMhGFMtkTb3GxlOo3rfSpZuqFaytjGHo/qYpqIFCgUGxBhsZ7CvHOJlz1qaA5UkK489rKqZF24+Q2ONuGew4stpnM7vzN9OWlLeTEt5pyMNzXRhoEZbzgFVRrxbuxiaU/I7UwLpkcjOtflO03X0Z1b8SD+j9XaK/ooNTHuRX3LOvUEO83uyyWYBMO003q4jmFubydwie/PnRT6yW9F7vsCQCCLmP7ekvD0WP/IN0QSjMwGm9lhnn2M6GztqjKlzYWlutLr0Jp9POyaBaTcjKe8CY7pgPiNgqnOi5s/M4EgrbS3kmDL7BUPS2DjJLMYQwIzbxVz4N9fjJZdeZ3329i/egf979Ua9O5cxVe1iGDbtnbCcWTN67MsxtcZsnALljBLA8TGmatuKLWM+56RhAHmGp1LK55h6TV4vAUwzLJUVj3cZ53Vwsm3JZwEBPsncwE0ZsS2HUgymWwSBKBjdQxJZghprYzGM3ps3fDo3bALbVo5pYrSLAWxgasyLRlN/nqte65yLCA6oZg8IAuHImc7chy9/AH/93xuwcY8ec8aF/Hb1cA3bZ8uYpvkc08FaSTnHJi5uqxxT1lGSZvbCdYFp1WBMC6W8nMMVAvSXQzTiVPU4NfdLOa92VV7jHkLnmJrOmcmYlmT/X51DZYwny7B6cQ0nDtcw3ogtJ1+3CrFZVRG80SdhKhuSjPcs6ZuLqry0DwuYGmNIp5G3lmQZypJNbPbCmBrjoICPrhRrMM8zYG+nayrv2bgvLtBodpHy0qWyKzPr69pOMhUMJOulemgrybwqBbVfYx9TLf/c8TKmGX13ZKGpzrud/nFj4z1o2kxlwd0sK2BMKzKvvdsYuvUxtYHp9IGUeci5YExnMxeUgOgo55hSYL21IOWdni1IeResk9WlY3skGHVzDsZZPKsc02Ox0XGvVpRjSlE3wZzYy439wprdue+fbGHCcA5dpzM2orMNp8y+OQ6VGyYliK4pJ5xpKaMqZiOP6XO83Ej/acsHcP7JI7ntKlGIciSqpJqMae7qSNAYSsZ0qFZCFDDsNFi+g1MtJbskWwLdPsQ9uzKcXn++djHckPKmbcWYMgkMT2SiwEoFbdx95+dwyEFBlDe7yC1+xLkGlyYQNgI9SV0DyBwwdZ67Simw2PhKFKKVpLmX8FdufQqfv/EJ9Xcq5berR/rmJsc0ZJbEdahWQsaFk+WryhuyzlJek0HySXmpTU4RY+rLMa2VI3AumBjG4ABT8W+ScV0FnxmsN3RrHnO3NI80MPVLH5NUjGdRrYTxZpyrmtxOMquP6XgjVjnh73jpOgBQz/0fvEzkcPcq582MNWs6ZlXllf9OOlJeuofTcfjTTK8dOseUgGlnxpTWisSTv0wss5s2MF17aMcYfvzALu93dE9NZUieMZVS3gJgSu8/85K5vSldKW8vwHTKCRq4ZuYo7zzsf+a97WJmyLjP1khJMBMAU1Swab58jzTzV+UdrETqmaFAne907HYx+e+bcaYCZJ3ygz9yxf34p+se935vjnXGNgfZWDSf5itIcNl1j+NdX78LgD1nH945hnWXXIkn9ol6GJQ2tCDlnaYtSHl7N845Lr7pYqzftf5oD+WI2VQyz4ypsdCac/DmHTfjf37/f87PMY9xoxdbwBhOWz6gPhdggCP2SHlFnmBx1cnpWOI4KGkmxvTea96LG7ffqIokBCz/AjMdJbNoSSfGtBqF6nduP0zmWVVdKS8A/NaL1+Q+q0QBokBKeY22HLl3lbxeIbjIDQwYlg5UsOuwlvIemMznmC5jGpguYXaPyzJzHFdV/GhSDYBrgSyQtBTbTMwsAdNFmMAfrFyOyxcNmHtULLBV/IhnApT6pLyGQ/6hV6xS/8/dGkepUIlCA9iLPq/1dppzPob7SpbjmnGRK3nS4hq2j85WyssRBoHlmC2S8yDJuC3lTalvpY78+9wTc+66FXxNKa+Za2yaj8EgZ3+ylSAIXCmvLH6UZsZaJ8a3SEp5aXtzr/Q8JlLKa7aRcnNMw4BhUTXyMh6Ndmoxpkmm86k//sazsXZJn/ruuav9KoQimwspL7E4k81EFc0SfUyJFZ+GlNfMMW0TY0pSXh9jqv9PAR8CXr//jbvVd2MKmM7uffiGf74VH/jOfd7vaP0fMArJmQzXA9sP44aNohiZr5o00LkqL1nNAaa+AmaumfvwMdimZPHBHWO57wH/HFFAuusI5tZUVd5ZHNj96Xy1rSyqyttfidS666tSTtatj2kzSbG4T1T7LwroPbBjDN+/dyf+/ppNuP6xvdZ3ZsDh6kf24G1fXD8rgDqr4kcdWP25sM9eswnXPSaeQfNa/uA+0ZKNro2u8L/AmE7LFqS8vRsHx8+2/Ay/2POLoz2UI2bEmM67lJdzNFMNBK7achXqyfRZluO5fymZYh8AXHT+GvzwfRfiZc9aqmRUnCMn5bUiqbMEpm6uUcY5Mp7htl234f3Xv19FZQPGLCDCmM6VA3T0PJGgwjUac1VKbgGdT5dxjuU4hGiv3S+0HAZqsTftdc9ZiaUD5dy2pTBAknEEBtjKvZSNarUEdpYOli2J8oHJVq6NyjJGxY04Xhncb31XhvO8mMBR9hq1GNOkqWSUkQKmojXFUHQACWNoOtHywCflBcT+FWPqzzG9YM0AfumMZQDyMtY8MA1QZrEaf385RL2VB6Yj/WUL7IkIP3DSSB/GGrGqAjsTo+CGOVYCc0mWeRnTLONoykh125PjYzpfbuDElPIertvVwsky7mNMDWDqSHmptUecmjmmGS48bYliKkq0vYcxbacZoiAAY8zL1hBDvahmS93J6nGSCzqZ0nuzBdWIdFDHCkC5azP1/3wO8lQrwZDM806MPqZJxrsyD6ZD6vYx1Yxp5+JHFIShddAsYkaMaVFhn7kwlUtf8TOm7/7W3bj6EeH4FrV88eUgu0HEvtL0c0xdmbVrJjB1W2TQUHxHOZLFakxThZzmEMAc6T6mA5UIU+0UWcZV4MldD9dvPujtGWxaM04xLJ+7IsbUDFR96eanrO/MXW7aO4k7nhzF6NT0Ca+5zDE9Mu1i9P/putM5lBeKH83MFhjT3o2uVSOZXfT/eDKVY5oe2RzTh/Y/NKN9ZHPRKuUom8mYMsZw7knDQj4ZZ8oZcCVcQQBLbjkbcyVdSZZZ15UcGMaY5aj8/EMvx4WnLVV/UwS+KMeUGKRKFCoHmfbNOfCH0Y9Q/a/ftn7jynjJKlGI7/3vl+KN5wgmkHqVKkbBAJW5qyPPbeVgCRe/7kwAwPOWa2DaVw5xcLKtpLyHuGAuz2ZbUEMTFcS5fZbhOK4m2JPyWus3SVO0a0Gm2lYQYzoQiubtieOURCbbZoLmtA1QIMmoAmxtEzeUU+tW5U3SFj68fCkeKQsnpRKFqBDQ5hx95Qj1dpKbZkv6yzajIiP8Jy0WTNxs8kwJdJlAcJnMBb5x437LGRyVVXRTrntg+hgAs89saM4VOFV5DXBmOuNplpdB98u8vcmmAKamFL2s5nimAsFRAHz791+iHE4K4Jj7jdMMnHNsa9+IUpQiDPQaYUl5M1GYaqgImLZTq1chYAe4lkhgWgr1PnplTGfcLsaTYzrRSjBQiVAKGTbvn8LBSXGtGu0UL/rktfjIFfd7Aw2AzRjRtVc5ph3axZjjUIyph/oalUGKekH+5FwYXQezV7N5nxvtFP/rgrU4V+bWe/ehcjb1Z27ahZtj2uohn9h8Zrw5psZ9OezMnU7vJ5UTe4TjyrMpfqTM+el8gSFaA12jAMZUWweezHXq5xv24O1fugNbD+p3QZGUl577IobPPLdOawMN8+DU0SG8VB70EZhQVi9poz4IoOOLsyl+1IzTabXucu34BKYLfUx7NnLO562n5zFoR4wxhc3am+zpdOzpAEx9+VqVUoBWkiqw55aoD2Yg5S16gcZphuWDFZSjQLVxMSskU1Q2YDqC/sP3XYhnrRi0XojtRDjURS9UJeU1GFN6sWYc6EMLrHnY+o1Pxku2dkk/TlxcA6CLDqxb0o9qKcArTlustsu9q6QXN1wNRc7dtjvx6Udfg5cHDwAAThiqqqq8B/kgXtz6FwDAH5f+C98q/w1qaIE7p1fImAIKLHJuS3kBWLmwBExrkQCmrtsYKimvw5ia8t0CxhRJSxWWcqPw2+t7cW1/Hy5ZtlTklJYCfT5cSHmpwI9pw31ly/mlCP9JI+Ke/MsNT2CmllBVXmMe0b3+w2/fi/0Teu247YkD8jeaYbMcreYY8P33IKtrqWEUMsUSAjYwNR0wt4CIm+JnSXmZLbVUqgBDysuYLWFUOabGPtOMY9OhTdiYfgVpdYNVrdt8hNOUpLx+YCqkvC5jqsdHjGkY9AZM111yJf7qJ4/IccxMiumtyttMMFiNEAUBrnxoN750y1NyLG2MNxN8/96d+MgV9/t2Z7V4oWCY2y7mtsf3dRyHYkw96yPJuufT4aVdW4ypwWZmXAQwwoAVsnOp5364LJjbNuvKB3fjLV+4vWNetlnQyFeVl543xvK9dFWdN89+fYGWI2FKymvc69u3PI6zPvGdngNpuddJh1NI0gzf/cW2Gee0+qS89E6cbCVqzpoMHQVR9o5rn8or5Y1T1EohqqWgcA6kHYAp7fJjbzgLl775uQBE0cDp2txW5Z31rrqaeSXd+0rP4WyKH730b67H2R+7esa/Pz6B6ULxo56NQM8zijGd7xxTZXxO5iDdo+NZ0ksjN5msShSglWTKQckxpha46O3cfXKdLOPIOPD289fglotfqVpymIDfdEioJQDlwr7p+SfiuScOARDAlBZqH2NKjn+1FCrmRlXlBUfIUrC4blXDHaj4nW6yamT3gxwr3YDvfXAN/vz/O11tk2N3lMxWXo8dQqr/G8MCSK0arkmpVIz9YYg2SmiHggU8L9iEGtrWFeewK/bKg+r/S7DIYUh5Y9m2xAKmog1PJRSSuNgBkLoqb8nZv8GSFlTlRdJQ+YWuypqZjFKWohIFmjEFR18pRJzmZZV9ErCqn0qpKzGmP31oz4zZBGJfldKVAauGaur7Dbu0bHCPdMCyjCtA2jTHeucXgQe/ixft/nf1URgwLDakrLVyqBh900w1gS/HlKS8U23JmBrANPIA0yAQ+yMmygQj+phcrb8srFtSXtPBjGVxlEU1f/Cm3k5zck1byisY6CgIugJTeq6/dtsWMY5e/S7n2fMxplPtBP2VSIF0c/yACGTdvGk/fEb7oxZVATNyTOX9vHnj3tzvzOtYYiII4mNMyeazTyOtT/3GXDCBcCoDIqGRa+yaT8rr5pi6KRF/f80m3L31EDY4ElzTujGm5IAvG6hg3CkQxU53jT8AACAASURBVMHxyegrOGPfVbnfqZzYI/za9hU/es9Nb0a49tP47wc795Imc98nnYIWX799Cy75/kN41zfuUgG0Xo1SI1yjeTLV0oypCYRorh4wQKJv2rSSDNVSiKqnyq8ag3Fuh52icPTNq85cgReuXSyPOXOfblZVeT3r43yZryqv27an2YuUd/2/AF9+de7jmcihTTuugekCY9rdnomM6bz3MS0ofjRTezowplrKqz8TlVAz5Rh3rMrb42I81c7fU8rxLEcBViyqih5pnFv3n5zbjHNMtRJRVVeCnIFKhK++40VyOy09dnNixfmJMVdKoZI5thOOb92xFX931UYFvGrQL7dBj+NuWlWyAHQJLv3FpXjblW+z2MK8lFd+R9sEwik/58R+AMCZKwcBADfVDuA31i5CUN6HBHocfaxpljFCgg7FjwAt5eV2jikAq63NKpljWpLA1H21Rawgx7Q9qf9f0McUSUuxe64clZGTyMS4K1GICp1PlqLPcIRM6yuHFmOaZiLCT3lLwMwlTZRjypgAG/3lCIv79X4f2mkXWlncV0KaaSmvJf0Mxfi5kZ4QBQwXyQJaI/1lrBqu5gC7OCdbtuXKoBVj2hSMqfmclow5TkE4+jkxUQQIzf0mWabe0yxsWFV53Wh9J8a03k5UUInGYgaMSMobhQyD1cjPeklze1T27AA667MJaGkPk00h5XV9cLqXi/vKhTlw5DibfWR1jikVF/NISY1xVAJxDTqBz+n2aXx451jPeakZF2u/BUwdAE+Ftb6763XA9Z/M78NT/MgFG9XS9F3WSYsx5eCc43v37FD7JkXP0oFKrkAU58BvR9fh9U/8ZX68RymO7GNMyYrk4t2sE6CiCt83btyPz16zaVr7LSp+RO/EiWai3s3mOkvPxMEpf648WTNOUS0FqJXCnOybzAwsTrVTK1BH+2QMWCKDXDNiTI21b7I9OSN/WwWoZkiZ/vC+nXjJp6/rymxTIN89Lt0mOnxPDPnVHwV23DWtcX7k8vvxbzdt7rjN8QlMj4HiR3EWHxcs5DMxx/RIFj9qpS2Ug3L3bTvY0wGY6j6mDmMa6xeByyYEzMzh6e0a+F4+sWJkteOaZjZjeqOsCJlmHBOtBP3lyHph6oT/zowpfSaq50opb5bhAVlshHIo+6BfTEU5pmTEWOVevAawLmZM5b8SuKwZKuGuP3s1XnLKEgDA4xUBKFl5FAlk42xewmBgO5xtxhTDqFhFj5QXKJbyJrWlWMImUEMTQSieQTfHlKS8A2UXmBqMadtflRexwZi6wBRGJdssQRTq80HSVODLbZlRdRwawSiKefyxN5wFQDvHacbx8R8/YuU9dTKSqQIiCNNXDlUFSQB4fJ8G42euHMSq4RrSouJHMvCger7Ka/A7L1mLx/76dbj54lfig686vYAxdaS8OWBKoD0Fy+WY6jmuGFB5ralNiwam9rmr5y9oWFJecy63k8yS4brWMBxJunaRR8obBaItz2AlKmRMqZAVSeZ7BqZOYS2TgaGxTcocU9cokDZUKwkW2eN0quJHXOcku31M3X7EgO04loNM9T/22WAlsqS13ayVpHjz52/Hd3+xraftSWnQbxQ2coFpyJhmz27+DDIJEvU24l/ztriMqdkj2pxvnfJnXcb0kV3j+OP/fABv/bf1mGwlmjEdrKAZZ5aqotMVo/t2tKS8vuNSde9u5v6yEwgxZarbOkiFb9q0H2//4h3e++6aZkxTFXgy524q/z9q5Hv6RiiAqWRMC0C5ywb71oeHD96HFj+EchhgS4/ru884OC74zgX4tR/92rR/60t1mI5t3j+JPePNrkWL2mlmFz9yfDcVKOM894zO1jjnuOqRPVZxNp8dn8D0GJDyvuvqd+H8b59/1I7fq9Gkmmn+4/Fo81/8yGZM+0v9qIZV1KJah98U29MBmGo5iP6MpLzkGLv9PS1wUbD4bdg1bjeL9wDTxGFkw0AwB2ZPWZLnpFyzG6aRs9pOtfTYl2NqSnl1xdJMSVcIePUz/bwNFLBBZCTl5dwBoAYwzb2saM44jCmyGMsGK1g5VAVg5/21MnGccdSwvJpYL/o2Y6r4kcrJ8hQ/kgcX/8io8Gff8hzxaVVIofrRAkIRCMsDU1kdOWDFwDT29zFF0kJNgiiXGWCZbreCLEHImM4xNZhWlwFypbxm3z0CwfT9QzvH8PXbt+AjVzyAbvamz9+GiVaiAhkBY+ivRBYwNe0VZyxTTD+BEgtkhCV5OQzGNNRzcaASoRwFXifQdhTz85quTVv27vXlmH7l1qf0+1bmmE5KoEcVdc3dxlmmAsgCmGqm0STuqEVNYVVeQ8o7YhQ6IhsZIGAqxjnUVyoEpvQ5Pfs9O4BmcETmn9NaNirZlSJgSusVMfA+uWEqnT/Ooaoi0zmTlDf0AFNzrSgHotXM4Xps5eWRnbysf1pS3vFGgnaaeXuf+tt6iLH3FTCm1D83DPRnL7n0Onz/3p257c1nuxGnVhXfijE3z161SP2/UyscK8c05SoP88EdY/j0Tx9VjvxSWZjMPOdOTvlM2w3N1jr1Me2VMeUcWL1Y+yu9To39E61CZvKqh/dg/ZMHrXtRVKuBgrWTrdhblZfmqsle+uZdM9ZS3qJxudfJbKVF33zy7kvwjQ1fx6+cvQI/un/XtNM3CLzTfNk5ubPT5h3HOdN2MbTWdKtU3U4zJ0/eZkzp3JOU49c+f9us6iy4dmCyLdf0zvP0uASmJNE7mlLe+/b5+3kda0bO+TNJykstW45Ujmk5LKO/1I+zlpw1o708HYApraWBy5gmmXpZ5hlTE5jmr8G2g3X86mW34PrHdOGPukfK21aMrGxdEgRIU64dYwB/8LJT8II1w8gyjql2kitIRI5mO8lUBNcdLyCiiowB1ShQbTLilCtgSoxpvyHl9TmsplF+XTNJbfm5WZU3x6am9jYSuCAVvz9B5TJy9W8jFeMd5/1YVs0sYNpiTOWYKsmjBzhaUt60BbQm8er0FvF3SYDhECnSUAYCnHMNoaso9sSYmtcjaSgpn/ti4xYwTQXAUsBUM62unLNWCpFkXM3RZpyiIrcldkZJ/uQ2vZS5uG+biAhTxdowYKiVwlwfRrJXnC6BqZFjakt56f7qNc3bzsiYsybbSZZmHC52NR3/gNnOPwHTGzfux/5Jyb4TMHUYU/PKmDneGas7xY84Tlnar0B7KI/pBq4AoB7rPqYE6kueqrzk/A7VioEpMaZ9FVEc7U+/L6uod/MDzeBIluLD43+Lj9e+AwDYP9lCmnHU26m3yBk5y3SNKMhhOr6pBLt0Hua6SM5iwPLro8kElQKRY/qD+3bi7V+8AysWVdR3oawyPR2Hl66h7zcp57h98wFLcsi5mFc+xpRzrorglJm+lvsmWnjygFYN0PzYN9FUz3ejnVrrp8mYnnWCCUyLJcemfD/NOHYc0uqx7aN19ZwtHRRzqUgK7prJLB1Jq3eoyuumHaRZ6gXXHBw/fN+F+Ke3Px9A56q87nqx/ZCfNaVWO1OOAsUv5RXPw2RLB57Mwl2X77wYlRU/6phjyrlQl1SjAFVZaNFn7umPNQzcIL9rpy2MtcZwzuohjDVi1J0A0uF6G9sOdi8slXkCSL0anZ+vQFcvplpUdQF9ceIwpk7lyjTLsJrtQ5JxbNo70ZElV9bjM7BtVLxD2l3A83EJTOmF18oWih91s2dk8aN4nosfGSt1K22hGlXxmnWvwetPeX1u04xnXa/9bBazY8V8L2dy8AlM+nJMjbhd7vf7JkQwZe+EDqr4GVMp5TVkk0nG8chuLRcJZX5TmnFMNBMrFwoQTlMUMKv4kS/SC4gCHi5jSnk4gUfKWyt1lvIOS4fbLBgDwJbyuj9ypbwGYwqIfMVKFBgLPMcUBHBsI8JI2XbkYoNhVKyiL8cUDjC7+e+An10s/h/JQjRIEYfieuTbxaS4/o9fIcdawMgWFT+Km6r4iQtMU3neHAzIUjAGLeWNm+p+kwN7cfRdvCO8SjGwjThFM07RSjRw1sDUBoomo3jvtkPCqdt4FfDoT+CaBl9MsQT3/sWv4B9+8xy1TTkKcN7aEVUYRjOmxl1X91fft05Sc0CzdHZ11Ly0rmYBU5sxLUd6WwKmkHOcQL6+Xvp3SaYDQxmrq2dPjEFc22etEHnQoczD9RVAqrd0jikdx5Qrjxg5prRNITBtiPH2lyNVbKonsxjTDK9o3YSLkh8BEAzSlFEEKtfGSJ7zcE2M09fqI8v0dqFRLEvcS8lmdJXycrW+PnlgCuONBKevEMXdVg1XUYmCaTm8BOJjz2/ufHIUF33pTlx23ePqMw6tCnDHR8MMGUPJAdh1B8TQ9rsON8A5RyNOrRY0ZtDEBKad+g2bdQmSLLN6PY81YgXmlvkY08K9al/8SMJSzrmW8vbAmP7uVb+LLzzwBe++lg5U8KJ1I2Jf0wDXWz0ALc04Nu6ZAAA0HOm0X8orC64Zz7eZA72ntRHlkfWWlPeQU7iIJKmVUtgxx7QTY0qW8QyT8aSav24A87Wfuxkv/8wN3v2bNqviR3KccToz+WyjA2NqpU84jCltTnfpvF3fxq2VD2HJ1ONoxllvKQA9qhO3HJCkURdm/7gEpgvFj3q3ZxowNYHgkcgxbadtlMMyPvrij+Itp78lt8mn7/w0zv/2+V0kQcc/MCVzGVNAAx2XEbGL8uavATkbpqPgvjAA5Kr+RiFDnGZ41zfuVNtEkolIZfEjX0GichSIxt5PHlS/8VkYMJljytTxNWOal/J2cwhNeafZ4sYEbheeuhSWuVJeupiqpQfDCUNVVTSFgeMP4w8BAHbwZRgpu1JeXfxIA1MTFMqqvCZjCgD3fEP9l0lgGrIMzVDsg84mqwgnMkCmcwR7LX4UyHuVNNWccl++mQlyeSoAFhU/ShpYu0RU2X1ghwhW/GH0Y3y89E0t122nyvGh+0FAqxGTQkccoxwF4Jzj67c9hTd//nb8fMNe4Du/CVxu968FdHAjCJjK5RzpL+Oc1bqf460XvxLlSPSwNYFpW/YCFTuyAw/mvk0znz86D1PC6avKWw4D9RnLFT/S/9+0T7YAku9fYkYIUJ51wiJ86k3PwTsvPBkAEEsQnbG6yH80GLQgAJ574iJrzD45byPWjAoxkqaUd4mqytsLMJWMaTnsif1Q5swtsnIUYP9ES61JnZQRFCRoGPnKZCnnylGkABrtX8nsPPAnV5XXuC4N2UYDAE5a3CcCA9PIMaVr5fvNLgnszBzpLOOy+JHBmKr2F3RuyANTQ2abZhxLpTR7+2gD7VQECc1UCJMxPbNHxtQ9hsmYHq7HCswtGxRzyQS5nfCByQgfKaNrIo7v+T7J8PDOMVz4N9fjcL2Np8ae8spK3dSbTlV53VXGx6BtPTil5rb5fWEfU6NdDL2/fQCIHpNVQ1XFyJJRwLASieJHRVVk3XOzpbwUDEkxFU+pZ9hN+dg73pkEo/2knn7DvZo5zl57MZumgWl+YrSNz+KEW/PazZVePSHaWg1Mbcv91rUfDPTjw8uXKr+jm22Vc+NpLeVdaBfT3VRV3mdIjmndcGrnL8dUWyttoRJUCr//3uPfA9D5+j8dgCktblYfUwkiSErlk/KqBdLzYiRnw8xZmfBUidRSXs2YioVd7zMKA3k8jslW4i1IVI4CXL1hDz743fvlfvLL47bxbYiWXoVKpPuY1tupGivlmJqMabd+YIuNCrDWnDUc4sue7zgXbrsY+jvV10fkmWqHd0ewCo/iFDBwDEW+HFNiTHX/T72B2cfU+Nzo2coiwchGSNEMpbMhJwTvW6a+U8Ci1+JHJVFpGElTOabFjClEjmnAcDKTrRPiJlYv7sOpy/pzLTv6jFYp5LDQ/aBj/foX1otTjXUu89WP7MXHf7IBALBp7wSKTDGmAbPm3Lol/er/FKUPpdzV7F+qnAImiz45VXmLjgdAVQC2c/2QY/UYY1a1Y1+OqdhQAk153775zvPx+uedoFhsxhh+68VrlSQylkA+hQSmEgBQoRxq0UTPrVuZlxQMJE0jp9EsflQrC7ZE5ZjWShhr+EEKOcyD1ZLV77Frmy5znhrP5LKBCvZNtNT65qowTBsiYOqpqJplHHc+OQoAqiovIJl5GdTy5Zia8a4y47n5QPN3zUhf14q9rlHbFN9vfJ9lXNz/ZQNV9VnqOLxB4GFMDckk52KsgJCLNtti28ECKe9gNcJ5ssVHJ2A6aTGm3GJMD9fbuRzT8UZvjOl8tIs5XG/j9g4tWdxCba610gz/eN3j2Hm4gfWbD6IRN7xgiX5JMlvf1NhxqI7T//xn2LDbXt98vVIf26O3eefX71bBNco9dq0ShSiFTPQxlc93p/l51qohbN4/aTHCdP1LYdAxx9Rllg838oGHjGeYaE+oNcat3k5mvXce+C5w15fV78X+ZsGYGr81gye9Gj1LvutIzxIgAqzmmqerAUtwLYskNpot63Of/eWyJbi2v88KmHaybQep/svTEJjSJFhgTLvbMy3HdMoonDL/OaZQjGmRVULxsjMBs2tPB2CqXnQWY2pXQnWlvGlmLI8+xrRRwJiyFiolW55l7j8KGEan2mCGExQZUt6pVurtLVoOA2wfbVi/ce0jN34EweLrcfrqpnLg9xtSY2qHYjKmnSKOgJbyinMxGVP9//KVH7B/RA6yqihDrVH0nD9hqAaqNVIrhzj3pGFkLESEDENRLFqrSJsIKqr40WRB8SPOuWg3UnAerKSB6URALzlhfGA5AOFgKymmB/gCyDOmYQSEZYsxdV++mTx/zsS1qDX34XnBU+JLWT34Facvz/UpJEf3VX9/kwKYBCJMCXaWceWslKMA1z2q+0o+ud9gex2jnM+AMdRK2sE2864IiBB4MCP/ihmWzwfrxpiawFRJxDM8sW8SVz28R1Uddo2AaRjYVXnNZ5bJSs5cgqSXn74M/3zRC3L7KgVUSIxY8zrKEVPOCIGY50hgSmuG2wqEqszSvSZg76Z+j/SXjRzTMsYbcc5B5Jzjpw+LQEUlCnrLmyKzGFP9LC9fVMH+iZYKlvlyTMmUlJcYU247hr/3ddFyITByTMthAE733dcuxskxdddXmtsnjfRZUupejNZen9qDgJyJNzKZY3rhaUvw3+//H+q8AICPPom/iL6FADwHTC3ZJ+dYNVxDFDBsH63jff9xLwCbiTalvOUwwH++9wKsXlzDwak8ScE5x+eu3YRHjLZMacax08iRHG8mWso7SFLe2NxJbr/m/oG5lfK+8+t34aIv31kIssz8zaLiRwqIsQQJT/xt8xRjKvMKPe+oazfsRTvJcO2jdg9d37PjspnEqlP/Wp8NVCJMNhP1fHfKjXzOiYsQpxxPGCx9YgSkK6XACuiZ1r0qL0eGDFPxlAou/dc9O7zX11Js/eA9wJV/LPZA6oBZMKYmgJ4JMG22i3NMzXdKO+FYtPkn+K3wWnFcOXYlqZZt5ZrttvV5R+tVyiuVKt1asB2XwHRBytu7qXzctPW0AEDdbCrRDm47m6/5wZACuG5qKybaEwp8+kwB06Q7MD2SkqC5NhUVNxnTks2YlhyP0oqaeaW8xJgawLSVYPDMj6F8yifUZ66UN2ACmMIEpqGUSnLheAwUMKamFeWYAsD5pw4q4Lp3QjtFlAv2J790Iv78fz4bAHCBbN1SZOZxi3JMUeqzf8RdQCr/NV4QKw0p76vPWo73vuJUpAgQIsWi0H6R1FlZA9Nc8SMGxHV85IoH8JHLH7Cd5BPOVf8lKW8/6jhMhXcYw5PZSqQveAcAAUy7M6bG/3kq2MKoKnJMS7pIlWkpAVMAyFJccIKU/A6fAkhp/yvOWAbXzMI/D+0QDqyW8urv2mmG7927A4BwiB/dox2xpw4UtxegOfLhX3kW3n7+Sd5tyDkMGEOWiT6mqkp0Yt9nZki9fa1hTKOAR5pxvOYfbsJ7//2ewpwvkhkzxqzntOxhTHmXnHhiQIkxTTAl2E8FTIXs89knLLKkq+49JWk9rRP9BdV0lwyU1ZiHaiW00yznpD6yaxxP7p9S12N6wNRfkGzZQKVnKS/lx6rWQwYLYTrOIYPNmPJOjKn+XTngOUUKAfnVi2uIggAHp9r46A8e6nCi2sh597ElPpkhlyw4Y0xVyyXAUf7+O/Gu6GdYNvUESsx23M2KuRkX1Y5PXFzDttE6bpXMobk+msB0uK8MxhjWjPR5WbzD9Rifu/ZxbDlYV/PjcD3OBafISSbG9JLvP4Q/lpW3O72T56P40aa9AngVBTNdIO/aZDNRn8ecwGFxTuqiqqjmbbLIZL4+3oCQ7T6+dwJ7xnTw9dHd49Z92i6BVVpQ/AgQz/NUj4zpc1YNqeOQqX7jAUMlCguvmXveY0auqhlamIwn1TP8rTu24q3/th5PHZiyKmkX5TLPhQ9nAmHf/ehmdZly4ssxNQMd7TTDuhv+CJ8qfdU6rgoQSHVOmBXvLz94v69N174Zp2gnmVp3j2vGtAhIHUtS3jSbeYTkSJh5DZ8JrOmRkvLeUaviQ3uvx6Ojj3YEpiVZtKQXxvR4LoKkC7vlc0wpyutG9J8/fh36GT3D+cVP55jq+6gkNkFb/f2t9VsBCIf4hm03IAn3yhwRhzFlYqGcbOWr8gL5HFgXSANAVcpVb9t5mzofsz0D5ZguryT4/Zedgl/82avwG+etzu3HtaFaCW8/f00hY4qS04qIHGR6IbgAFcAJQ1XFbr7u7JV41bNXIIVgTAeCNlKuz7fOIiXlVZWP6RjlAcStcdw79p/YMzEBBo6kNACseC5w/rsBAJtLEUYlUFoSjCKW8yBhwE+yCxAsOhEAcFF0HVjjkNy/B5iW+kW+6eYb5PmkQCCBaWu8sPhRxm1gWmXiXEp9Q+IaZSlefPKI5dgCduEfmm8ETE3GdMehOu6QcstSyLD7sL7nBHh8RnLw33rxWpwnC43kt7GLdrWSTOVbqvOU9yLswpiaNiKlvEmmG6qPNeKclBeA0R/WfoYtsNMrMKVq1apScoYgbCspL7VFqZZC/PoLTlQFWNwoejkKVPumgAF9coyuQ/7CtYvxbJlvSADQBU8/eXAXokCAmGS6wNRkQQz2YNlgBfsntZS3lxzTejvFjkN1vO4fbzZ2aQBTmXIAdM8xtRhTluUCFeeeNIyP/uqZeM1ZK9VcuXfroc7nKo2eBR9Y8BeP0UFJxkidYgdVgoCh5MwdU8qbSZn5SYv7FLAB7HtpgiW6pmtG+rBtNO/Im9eH5sXW0fyzSuv3cK2kzoGCUKxDMJ8uzVzGk+n4RY67BeQ992bLwSkNNLiUYsq10ZKwyvkUhQGetXzAkuKSuXmWgHi2tx9q4Ff+4Wa85NLr1OeP7p7A86QCAtCsqq9vMtlAJcJElxxTslOXD6AcBbjl8f24ZsNea/soCFAKWeE1yxU/ykl5ZTG39qT1DD++dwJv++J66/0+XpAmQL7bdBjTzfsn8ZMHdulxGsPcUVD5uJMR+PQxnGYBsPy7077+iWRM3xP9BACfFWNKxdPO/Iur8KJPXatqcXQDu/MGTBljX2WM7WOMPTzTfRSBPnLk4yw+6izgbKj7I2Hm+J4JBZAsYDqPUt66XGxHqiM4bfFp6vNyYMt6CbR2uvYKmM6wTPgxYTzfhoJAxKRiTO3l5vcPfEb9v97MB5mIKTUj3G6O6V/+6BFcfvd2sf8gwAdu+AA2lf5CfGkwpsTMTLUSZNyfD5ZnTPPLIwHTz937OTRTEd3eZxRGUMyGBFrLB6teIODaAx97DS5983PtOWuubW6PXDfHlNbK1JHyqpiwzh8JWYo+1kIL+hrUWYSSBB4qQkzHqAziivpWjFZ+jPLILUjBceWSNeDvvQVYvBYA8P4Vy3BZLJy5geig2m8ChowHCEMxF94U3gZ8/9322AFd/Ki6CDj4BPCtXwM2XS3GwEJg7UuBR/8btcyfo2IxpjzV16EyKAci8lNf4rDXJvjcebiBMGBYMmAXPwJgtS3gHDg4pf9256TpMBYV0DKNNuGc45FdghFYVHX6tcr7GxkNeFzpq2uq+JFzrTr1FTw0ZUe+LSkvFZPqIl4k8BAbQRIWNlWLAGJMAeDv3nIOfvslYg7lgGkYoJ1wxJkomEVVvt2CPB97w9n4m19/HgANQA437PP4+SN7ceFpS7F0oIw0416GrdAKpLzLBisYnWrjUN3uj+oz1S6mneLSnz5mFVOxGVMjxzTUjKmvKq/pb5cCnguk1Uoh3v3yU1Erh2oe7uqRiSEH3CcLPCwZJ9Ph5+BWGoeoMC2/U2oaplIdyEwGkGTmJ43UsGO0jlOWijzsd1y4zjtGmpsnjfThwGQr10rMZOApf9lX9GrbaF0VH3MLcLFcwyttbtGYubAi9QBZvYuUd/dYU70v46wptxO/2W8oe8whn7lykaqoS3bjxn34yq1P5fa/dkmfd2wHp1o4ddmA+nujVJSknmJrZCTlpZZBnRjTUshwxopB/PD+XfiDb96NVpJabd3MHHbXXAyUK34k21+1szZKkd7HR3/12dg73sIvnhpVnxX1y+WKPe/dh3v1Z2/C+7+j207SPlYNVbFzBlLeTlV5zXnj3r/EYUxTJtax04OdeBHb2CNjWgBMjd9SgGmwGh1VxvTrAF43mx1YFSoNM8HW0ZbzevX7x5CZ0oJnQgEkyjENWDCv7WKoqMvXXvs1fPAFH1RfVSKbPaX8016kvMc7Y+oWOVBVeVWOqf19Ziw/D27ekdtnYY6pYU8ZffDyDCe3vgsYU0xAUVVe03ygohZqgNhIxct8n5Fj6gLT6VohYxo643WDdirnNAbqo8CVf4xV/bqiIs0xwZimqPAWYmYAU4RKykt5cGqflUFM0doRtPHzxS38eW0S12+7XrUxmQwCbJWOUF+oWZmUATEiBKHh8E3KnCXzJV6XL/9+o/rw+E7JmAbAhR8EWmNY8bjoH+lG162qvFmimWRZDVjn+T+t9AAAIABJREFUmdpyXlPKu3HPBFYNV5XDWzFA66gB2Ir6+Iljp5akrBOr+ZevPwvLBisqcPHQTi1TIwe55Uh5I0MKWemxDZHrwPrG9MK1grXcNWa/I6xnSuaYlorxlxij6u9r3BNW170p49QbrHGBtsmYlmQlbKBzBdHVi8Xz6bLYByZaOGVZP6IgwHgztgIL3Swzz8OU8sqcxJ2H63L8xfeDZKLXbNiLKx/abX1n3p8w0PenMg0pb8nI3abba65ntM/xZlJY2MW0joypXJcP12N89ppNGG/GKm/YPJ5iTFXxoyCXYzrlVMwNGMPqxX04ONXGZCvBG89ZhZMWO2kMjtF9ODjptBMxHPBBYkw9wPSpA1OoyGd+0FHSBB2IBwKknAs/699u2myBv5kYBUOLcvCoQjjgB6YAsFnmYTZSKV3nHmBqbH/mykHsm2hZa9w7vnaX91yoOJVpWSYKtlFADwDueHIUnHOljvDZYDXCpr0T2DveAmNFuYxipGHArPZArSQzpLyBVfXbNz4AePWzV+CFaxdbjKncQv0vCPX6RznwZh/1blLe6eABdxmj+3nSSF9xjmnSBh670vtVvUMfU5P9diXP9JzQ7xIYBcZY3drfukuuxN9e9Vhu/1mBGtM3ltOWDxw9YMo5vxnAaNcNHTMjDt2kvMDRl/MWgedjxSzGNH76M6aUYzpUHppXxjSRa20U2C8yE7gABmPa4doTID3a7P9sLPMUxaF8wMemrkbYvyknNUsZw0vXrMZ3BwcwMXYQro17qvK68iLz71xOjMWYCokcMQFFUl6zQbzPgSfGFACmEgEkKC8I0FV5ZwpMvTmmg6uApl1cIpeTS9smLeD6vwbu+jLW7PqpygdVwJSFCJGhwttoc32ukzwwpLx5xlRHRBkOyajyaGtUAeaYMeyWwPT8dbLKapohAUMTZSHHJSNHhWe6FcwhGZ1fotUHwuOTOaYnvgA4+RUYefBLCJHmXq6ZlWOaAPReqMq2LPL5e9PzT8TvGQyMKeU9MNnG2hFdLddkU00gYxbgyFncsF66nRjTd/6Pk3HXn71a/d02ClQQw6MKK8l7UTIYHFeW7BpVF3bBhc9P/K0Xr/HuwwQbxJjWSp1ZYAL2JjDNAgFM73zyIO7bdtjLCHz+ohfifa88Vf0tGNMUcSoZU6nA8EkYyZ59wiKUowD3bbMlq80kRbUUIgxYLie4G+H104eMoJlTlRcAdklZdylk3msLCPBUjgL8fMNexZ6qXRpTOWDMApZaypt/N5jApGTkmBJzRdcLsNfG3WPdA9TjHXJMiSG+86lRXHbd4/jRfTtljqneRgBT+ouAKfKMqSnllfmIBH72TbRQK4WqV22R0bPiVuY11wi65sSOkpVChq0H6+pd5VaG7iTl1W1bOLYcrOPSnz2Gn2/Y03Gs3YxuUxFjagH5golL70QKhivGdNJ/389YKVQlj+0Z935v2kh/Pm2J7qE5r5/YN6l6BRcF55YNVtS6+uKTR/ztjOSaEwYMpyzTa3MzTtU6KxhTIeX15XjSdbrs7edi1XDNzjHlUIwpIPJyzzlpGJ/7zXNxsmTs79umK8+7+clkpopzuqYLJ4l/1y7pK84x3XQV8N2LgAOP577SUl4PY9oqZkzpbyUBN4BpBbHaH233hRs35/afpi38yw1P4L3fusf6PE55DoSetmzAUiD57JjLMTXlu0XRB9OBb6dtbBnbMqcy1a3jW/HZuz/bE1DoNULy3mvfi8vuvWy2Q5u2WTmmzwDGlKS8w9XhecwxZUgkDHOB6cr+ldbfPRU/yo5/YMrhY0zFAvdY8nX0rfkqqqUQ9+27D+/++bsxFU+hzkJMhAE+tXQE8dRhVe2RbKKHPqbmd7k+qWaOaSgkcuSs9JfzwPTkpf34pTOW6990BaZj+OXgXiyDfnFFijHtAF46mJcxXXWu1ZYFgO1Np7Hednwn0BLH7q9W1AJP+33O6hEsqQVYFLbRNqS8TRagjAQBM6W88hiVQXBDmULVfAMEijGNAexNG0gAVCJx/OFUBHDe86qzbGCqdiSBaVgW4wYDRk61vzf7mJ71RkT1fViC8XxVXk75jEx4+vTsV4kxFWvf4v4yPvaGs9Xv+hz6b80SzQiUowAffNWzANgS144v1bhhyZe65YFaPzV+R8zNu+lFL+8fBQ+AYmD6jXeej1c/ezkWS4fedUR8OV8m21Fo1C6mPWm1JXKNzjk23uUp6mgnGf77QcEW+hyvNUv68KFXn67+1sWPhEy1F8a0HAU4ZWm/BT6TVOyjVgoRhSwHYDrtDwAOTuixZsZ5L18k1gKSx7qBMbrMJbn2rFgk3gUrF1UtAGtJeZ0+pqyjlNfMMU1VQOD8k0fwqjOX49yTdK9ccy3bPdbdV+rULsZ07AHg9s0HZX6o/sxkTDW4tqXogN2WI+NibpqsXK0c5oC8a9RH12WzbCmv2Gbn4QZOGNJr+PNkP2F6d9Qc1rsTMKXLH6cZDkyKQJhbdOvhnWPTKohDz2YRMCXwUYkCbx/VwAD+5AvFsViPD0yYgEz/5kwJTF05r8986wQFMvvKIW675JdxxXsuAADc+rgoXlW0Bq6Qz89AJcLZq4ZUPqJlge4tbcqsW7Hu5xoFQsrLuZ9Fps8CxjBcKzm5toDJmE7FU/jR+y7Erz3/RDUX9hg5pj61wW/+23pc86gISMxEwZmo+yj+XjPSh7FG7JcNU30Gp2ZJKmsTAP785E45pm31O53uQzbEphCnHJ+6cgN+9rCt9LCOn7Twmas34qpH7MBMnGaWdHrpQFm9lzrZUQemjLF3M8buZozdvX//fovhK8rfTLIENZlz1UybeNuVb8O3H/32nI3ppu034WuPfA17prpHv3otfvTU4aew6dCm2Q5t2maCnWdCjilJeYcrw/Mqs6biLi4w/dwrP6eODxhS3k7Fj2aQOH+sWcZ5rhN3JQqAQCsaaqUQl2+8HOt3r8cVG6/AFNMLYD+v4+GddsT2hePX4YPh9zDZStSL1M3nM51MtyolnHYxZnVAH2P6md84B/980fPV374XqlnoaqJ9CF8t/198t/zX+jdzypjKffWNAM0xG4yacyWua2DaOCS2BRCUqojkKdCzsKi/itVDZYRpA6WKPpcWC1FmCQYqka7gR8co9RlSWQZ6nTPGACnRjRlDCo79YYjDbXEfh1IgBUNQqmlwqfYBmT8aAHRNB5YD1SFYliUa1JYFE1RjrZwDkuYYU5LyyhzTAsVCtWy/Atc6UrXzTxYSV5K5kQNrsi4kJRTHqduMqaeAVpGZJf1NJ4xzjmbSwmcXDyNg+nkyGTHTXnH6Mnz5f71IjXXUka365nWfJ1BjG1eMacazfKDEMJL/3vGk7seYsjqSjFuyOJ+ZoLkcBYhTjiQVMlW6lt3anlSiwAJUTel4VUtB7twraAM867jPNDGdOpMxFWv7Lgn0SiGzHlEKfpHEd6V0xPsqIYaN+2tLef3tYqIuwDQy+pgu6S/jK+94EdYt1QyTed5m4a4i69QuxpVCrn/yIJLMyDGd3I8/w5eNSp0SQCBF2WFMW0lmMY8B0xJKQIAd657t3YANKz+Oq9+tg0vEco474yJH/Wy2BSMVfdwVgxqYvuQU8XyTLN58Xq+4azuY806+/LHLlR9HAYUk4zgwQcBUb79p7wRe/0+3Yv3mvBqoyOgd1U79vgDl0Q5WI3X/TR9v9Yhei8jf27tjM8abMQ7V/aBp2WAFI/3lnoDp4r48qKD3Ra0c4cThGl64djEGqxFuk1WVi6S8FNh5/pphC2ibxqiIXRhYOdytJFVAKgp1T3Fvj91My4GH+0oYb8S6Wmw7BTMY08lYB5QDI32A1vi6p43PnU+NqmDPTDpBqP6hhpQXKKjMSwFvx7c1551P5WACajfo0ZLvq6/e9hSuuGu7Kn4EACMYRzNO8aVbnlL93X2WysDvCMaBw9ussRw25t2akT5vUUnXjjow5Zx/kXN+Huf8vGXLllkPWRHoa6ZNDJaFw1GP65iKp7Brcpd325kYMYsHGsWNjsnI4bt91+0dgVCSJRhvd5dKzLU906ryEjAdLA/Ob46p/K8LTJf1LcNFZ16kQOZ02sUcz4wpuN0qBhCOc1DSav5KKVDFobaMb8GTBls1yOq5ipF/3vx7fLj0PaQZVy+EyZZ9T00pbxC4188pfmSOL6h7I9lunlQnm2iJ8Z4a6Eji3OaYEjBdKl5EVhsV41zjhp1zemCjHEwZgxWqZCq/DyKxr7iB4QENwhpMSHkHKpGW19ExorIFhDfWZB9DMCAQHEgmr9uuKMKUlNEOpAwxYwjKVRuYKikvF8A0ks7OolVA2QCGnOviR4BqmdOHfPoGAWfOIMaayJchAd3En/Lhsuxrl/Rbf1PeI4G7IaMSKNnJBgBA0rRe/EVOmc/M6WiyRIfqMb59+CF8bXgRfjas993tBU/zd/+kfe69jOnv3vI8fPUd5xmfZEryljKWc4xMI8n+rU9oEJpCrH/d2iCYQyuFDG2ZS1aKNJPYrdhM4PTsVI5zSRcBYkyA0o3Vd+Di6PJChgoAUoMljRMj+l8TxyCgV3JSFciRJmeeHPH+cmQ5+Ob5MKadYdEuRjrfLO8LmcRHiWUqb9CXe2wzpnk/4G9+9hiuf0z3qySQ5wMLblXew/UYj+4e1/Pq6o/irfxqnHH4JvG33EWILMeYAloKSlLeMGD4o1cKSb9bMA+P/Tf6Dm/CGWUN9gqlvEmGPjTxw/Jf4FfTG9TnSwf1tadiaHTNzeNd/L0Hse2gDdY+eecn8es//nUA9rUhVs3MDaXr1It0mozmeKugJydVuB+sljSgN9bmk5cZNRCkL8RZhif3T1nVjc27ypgoLPSoB5haQTeIoIdr1KbE7IX84pOXqHY/RX1Ml8t9v3DtYkQBQ5xybNg1bjPAJR0AM4PJzRxjSoDeI3mX+wsZw1CthIzrALdgEvVvJh2lE6V6iJZLrEN+tjhGI55+aiGNmc6H3i07PJWmlQ/gYCMTMP/+N+/GjRv3FX5fxJgCwH/8YhtSBIgBPFouYYRN9FQwLZHv/Eui7wDfuUgfK8uswOjSgUr+mfbYUQemrnVjTDnnaKUtLCoLidZEWzxMh1vFEdzpGgG4g43uka6EJ1i/az3ec8178KWHvtRxu/HWkQemz7SqvFPxFPqiPlTCyjznmPoZU0AUXiKQSe1iOs3PpwMwzTjPS3lLAVhJgDeeRahEAfbWhfOzd2ovPnCCruI3xBq4p0Mrgw27x3Hyn16J7cZi7eaa5VoqFDCmLJzEH936Jtyy8xb1/ZaxLXjuN56Lx0Yfw+9esFaMySMhM4Hj4WZ+vCEdc4ZSXm+OKRUEMlkq88VkMqYAcGiL3CbOMaYKmLanwCWbX2Y1XDvcwo5yjIFqpF5iO0YnkbEQCMvg0jmvDj6BgyWSRgVAECn1AADc0lfFgUy8pKoZR8qAsFzT4BJAIWPav0y0iyFTUl75mpKgteYBpta7wlv8yFj7DBbILcKzdonNmBIrSS9XYrrWGdstNeVtLmPq6zW66WrgS6/q2JTcZAd2HmqgTfOC6fvcrdozOWv7xm3HuBdg+tbzTsIvn7nC+JGUEnPZLKZDzjyxTuuY0QoBvQVqmMWYhmiloo9pKQgUm9qNMY0CZrEGxCZQjikgWs8skmD5N8KbcmkEppny3cQoPlNBgqFaSbKFyPVrJEea2ppQTmpfOcS7X36K2s48nzTLFMMqpIRiLpWRd4jtdjFcrYc+ibcZZLtryyj+8kcPq3OebCX415s2451fvxuA8LFIFtutSAnZht3jOqggnz0CGDTKCLEFsGl+1qWznxmsKwWEckBj+53yGHoNKJTyphn60EKJpXjOIv0M0H0ANCgqe4ApYBe+Mt/Pb/r8baInsLyuBD5bcR4A5IvtFBvN8VbBdW+0U4SBaLVEm5jvpLUGY9qKhXKGgyPNOMYacS4QR3bGykE8sP0wfvzALgsYnr1qEVg4idpJXwULp7z5vnXFmOo1/qWnLlEpDycO+4tXnbFiEOUwwC+dsVzJ4H/1slvwO1+9Q20TVHSwxCxY2IxTVViHpLwAvJV56bkIAqYKwo3VdT2FilmXL3aAqXwWVwxW0VcOi4GpfO9vPqDf0dQLt5vReWSys8HqxR0Y05YMHjjvDpMxBUTxKtM6MaambRutI+PA9X01/OaqlQhKh7yFuNygfpq08M3SpXhrdBMwphnTOM2sgFG1FB5dYMoY+w6A9QDOYIztYIy9q5ffWYypB5gmWYKMZwqY/t7VvwcAGG1Ou85SoSnGtNkbY7qvLqIT28e3F24XZ/FRYUyfaVV5G0kD/aV+REF0ZIofsTwwDVmYA5v76/sL9/X0AKY5JS8qUQAWyDnHRTN0ksf/Ys8vrG1Hohbu266BnusoXn7X9lyRkk377AhvycWRhkSHsUy99FnpMOKsrZ5bALhhu4ioX/nklfirN56NG/7PL+FZKwZz55nyFCv7V2JxZTHGWnlgGs1SyuvLMf3PxjbsikKgYQDTHGPqeWEmbZBb6GNMuZThvuf0zyDgDP+4MsNgtaRecj+6bzuSDEBYwmRLOBlBRc9jkvKaT9lXhofw7XKCgHOUOUeipLxO8aMsFQ4sCwCqZN23xGZMYRQ/AhRjWmM+xrRAyks5prGx9nWQzLtVJ13GVPdO1ADakrfFje5VeXc/AOy821vAwmcb906AGcwZ67F6N1X4dBnTIr/gW+86H//x+y/Ofb7hE6/FbZe8DAAFG5hmoLfcqvOepBEYX8b0O7nNqX1Scc9n18qyBUSSisI+BPy6ddUKA2aBNhOY0thq5RADTDh+MaLCKqgAkBrgJDXnUdJWjJLP2aKWVBTgon+rpRBvO38N/u4tosWN6SjGKVcOfq0cqRzHkgeYmu/2kKU4yO8DWMvLmJrBiFufOIBvrt+qinht2GX7Jc040/lmXYIA5nnpY5DEFdbfAc+s6sLLpaSWgE3GzYrEoRyL+O6OP30V7vzTVwI7pMNt5PJREMftMdlOMnXdyqkGHMsGK/jYG87CH7zsZPSVI5y3brECXG5dAXO8P35AO9z3bTuMJOMqCEDA1AQItA64ObmdTEl5i4oftRP0lUKEgWbazQKca5bo5ytui/fF7mqMv7rnPTjUqKvzdN+llGf6ge/cp56FchjgM285B6WR2xANbEJp+I5cOx1AKxL6jHl3wam6Lderz1qe+w0ArFvajw2feC3OPWlY3feAAbc+rt/L55xax7/+9gsBCJaYrBkbVXlDDUw375/KgyajZc2w005qqpWgz0jnKASmiyoYqESKsXaNigy2DcBIvXC7GZ1HxkXP16UDZVSiwN/LtEDK65MYF33f7tD+ZXSqjXYcYywMwRlDXPJjFne9bLYbeHn4kPxjDBGo3RS3ehVXoqAwOGLafFblfTvn/ATOeYlzvppz/pVuv9lX32c5ZiTlHWuN4Qv3fwFplipwRcCU7LAv5+UH/xv425OnPXZiTHuR8qZZqnoEdopgJ1mi2N0jaSa4f6ZIeftL/SgFpXksfgRV/IgYUdOCIFBzl67/vkZxbpWqmHoc55i6ZeEbSQPfe+I/wAJxD2jhJoDuBg36eR17x1v4g2+KqP1HLrejjWOeqPNdW2yHuBTZC+6Sfh00YCxT42PhlHcMeltmyzMNS7IEIQsxVBmyWPBqKcDrn3cCBsryGoxuBrau9+6jk1nAlKeoM4ZP7LgKPxgYsBlTK8dUAtOoClSMHM20pbC5ZkxDAQrjOricu+euPBPPmezDeCicaZLWhaI7oShORHnQ0FHcNEuBoGQxpmQliBYWKQOiiifH9CcfAO76ch6YlgxgmKWSMc1Led/x0nXW8eh5E8A068KY2i/1F6wR+eBLByq5/rYmYxow7RytW6rHaTlrcQNxYhYjQd7+H3nfHSBXWa7/fKfMmbplsrvZTU9ICJBA6PUCUqXaFaSICl5UFNErFrAB9msDFa6oFEFQugEBIfSSIoRAEkJ6srvJ9jI7/dTfH1853zlzZnfD1Xu5P99/kp05M3PKV97nfZ73ffm61Bds8f2Xy44R/5/W5OfBPbq2R2zUHoAMJteDkzvZvO0DP5cws8ft2AWtOHp+S83ryZgGVWWsCA+iWSWgOATcdibw0GX0wOIQMLBJMKYqY8eSngqLAdNpTaF+vOOYwdvFuDTHlDuXExUrUsNSXsuX8vLvSMRU3HYuLbRkeSqqVnRFTyAo5bVNCeTbFcG+RQHTNJPRc5aGBzX4+fM+neVQfhiXRCZjqkAQOuxah1u6xhwZxVbll4h33B9g87lFXRlnldftoswaLxA0Vq7S3FtE90QM2wEz6JojhpXURkX+jwonIOXlRYi40+xIvbB5QIg7wO2NcUytdor8eSHVB80xTMXUmj3CtF3Rm1mTfK+WtIFPHDMXV5+5HwDg1+cdjJ98eAn7rvGA6c6aa+fAtJflGMrFjzi4HClZWLFtCH/fMTF5IhjTCGBqOS5GiiYSMRUqIdir9AbgushLPcBnN8i/nxP/357fgKHqbrQkVaRQy8QtmOqrlzi79o2z9kVrxvDbIBHKcoYtijFdODWDTxwzB/d/5ui6ufCAXzCMs+czmpOBgHImM4TTFtOCkkEpr9THVMo//8hvluOXT28J/Ibj+veVz8FRiTGNx/xnzlPBwtbWEEfS0Gp65fpGz/nt+Jx+VVzqQxFCML05USfHlEt5g+dRtur7jqbt4pWdwyLHPRz0WDy9IaAUGitVUWX3q6JH7zUl08HPntgo/q5Ug9iiGRRAm46LigSKDV35v5FjKttAeSCSMf3hqh/ixtdvxIu7XhTtYRqMIDAdiWAv8PpdQHnPmVT+G5OV8k6m6prt2qg4lf/xvqv/isWPknqSAtN/FmPqeeNKeWXGlEczZXYubPzYPane904zV3IqAJpz/YvXfgo1uYO+QDxYroW8FR2cibklKHDx5JtUuvPXtT34cbYJF3ZMBYkNoK+yreYzr4Y2el0N3r+OJimPC5ZwyFWNAdO3sYk4rgNd0dEcb8Zo1d/4P3HMXPzqvIORlofDrXvexlkes45jocRu6oA6HmNaYgBOB7Jz/NftqggIBKS8jkU/wxjTjiYDnqfCIdSZ5hFwAhcOqNT2LaN2qzAdkzKmUcDUA3RQxlSNhRjTsd3AmrvYRVq+B5vMBoGpUw0ypjHqyP/2o4vwnfcsAl74KfCdRsDz4HoTMKZyjmloU3/gs8cgY2g1Ml7AL1wzWKgiE9dFtFfORc3I9ybEmEbOaDcamC6RqqgeNLMZy750PC49fh6e3zQA2/Gvr5FMjo3nzlo/A6YdjRQU7kneKzc+VxI8r80qA71v0Dd5sYsbjwR+fZhwPBQGQjJEh+nSc04ZKj53wnxc977FdX/ruvctxuNXHCtyTHlV3vmsDcpFoaBE2FQlWPyoLDnOvpRXw+w0vacWNOwaLWPu1x/FAxEsh1z8yJZzyBwTbazSblSRqwzTCKZiKtC7FouHn6C/xxxDvh4Jlk0poWiNIa75wLSN5UPGYNWAFRmY2qCO4f5zTRy7INirF4husWM5Lrb053HtI28C8Meqt/oOvGh8ASocrGHyzrDJSgAexBOBebH30b89AUzdQLuYDhak4M6+63oCQOzDelYumib5eVzGCwSkvPz4l7cOwnb8nLaq7QjGVJHW6kyoJcyUtCH6zIYDDHKV2+2DtT4mB11CyispfWQp77k3r8CH/4sGKp/a0Fc3bUUdhzE99+YVeGjNbqQMDQfZr+Hq/i8By3+Fy//kt+iYlvLvixXaa3eNFPEF+/dYH7/YL9LHjFcnBvy6Dbx4F2ekzz9iFhqTeoBVvmP5Djy3ifo2ck9oRSH49tmLcMjs5sjrrL1uet9psMK/9s2jm8X4CRY/8ll9VSEBFu7RUJ9gmrtM/y+AKQtihBnTMHnEc1FbMwZSMRWF6vjkQUXaZ6ICRFEmM6b8PKc3JSJbavGK+7U5pvVz/n/w2Aas2zWGq8/cF0Dt2Drv8NmBZ1oxLQFMi3p0zuyukTJukAIAZTN4rlkyhjiq6FhxHcySP/fimlo3MCrbOwqYAqEcU3bzeRTDdm3B+oUZ01w1t0dSyNPvPx3n//X8yPc4gJsMMJUZU4VE307P84TD+T8t5/1XBKaCMf2nAVMXNgFUkEiWXCGKGMeih1hpACgNA/0RzYnZM1rVu2pcAPt27MVdL/5TJc3cPM8L3As+1hSdLkoEdI4CEBW1w5aWmKDD52ZxR2MD1sQNJNrvR7f6B/aOP55f2TmCJTN8hlBRgs5Xe4MksSSOkDAaBpPwvY37YnsyY+ovuFeeuhAAsNRQcFXLlHofp79bHMTDG++NXK9kxtS0qyiznWpIVUI5phFSXkUFmiWFiF0VEtAoKS8Hpi2pOHg94WTMzzFV4MEFwcv2CP4eUY3Rci2WY1p7jRqAGJsnmpEMMqb53T6wNvO+PCks5bXNEGPKxs36B4HfHA88dS3927Hg8OAOQEH3E9+g73EGWc6JdCysj+k4etYMMd8aEjr2aq1lyTkLkEQFr3sfxtHFZQCCTkejFHEP9zGNjDXxgMhL1wP/dWzEARQQtzY6eNe+Cdiuh2Emx/UAkRs5kakSYxrXFTSn6POOahczkfFgbYJXArVLPjBtmkX/LdJ7yeWyMUIBQgYxVBkwTcY0fPndC3HhkbPr/taFR87GPu0NrCovY0xVBc2pGHb88Ey8Z8m0cc9VU0gAiEVV5U3EVMG+mdCwfCtVR/3577XpOE7VDwQ4VjRjyq9ZvrVczrihNw/817/hsFe/AsAHLPw5cGCaWXgtbtj6UbGOJmIq2lj+sk4cfO3+NwLnFSgCxcY/qUmoiDiWmem4uHuVf735io2K5cAd6UQryWEKqK9y7cPraz4rF8GZyXLiwj2mfbaVAQjPDjCmRnI3YlOelaS8fo7pYXOyWPal43He4bP8L+yS0j9CxczOPqADb/XQx0pKAAAgAElEQVTm8dHfrsDB1z0J03Zh2q6fmyvV90gZ9Rm8I+YG126ZMR3I1YJJzuz2jXEpryzLZsA0JOW9+PZX8MGbXo78/fGAKQezCV1Fu9MPD0C+ez1Wd/oB2hSKfrsmJxjAKpo2Tio8Qr8jlKevqwq+yFo18T61vGXV/tMpaOVBGLki+XV/3YA7V9DAVGLCyt71jQOj9sa4yNdU3SnIVXNCuZgO5ZjywIwuVeUFgj2nARrA4XOtMcFyTMsSYyr1ZQ4zpjz/uZWpafjfNfkEjOWtSlV5J9sqTOSYSufZmjai25IJKW/QdynXkfLmShZufWkHPnr4LJy9ZBoUEswb//EH9sc5h80M1EJQ4MJk55HT6PUSQsEyt92hllOVGmCax0fVp9Hx5u+xz9ZbxOuGrmDbwMSB1XccMJUHhiN607EFjvgbZBiYOp6zR1LZ7kI33hh8I/I9/huTkfJariUiOvU2BRls/08XQPpXk/KW7BJSWgq6qv/z2GnPhQ0Crc7zVgkVQXqeJ+5/wSqg9LsTgRv9HK6usS64nhsAKPdsvOcfdppdY134zLLP4KmdT/3DvrOeeQjKFnkuqaKx8U48jLBiQXMa5kR+voHnfDluoPS/kuiG7bGFT4pgd4+UcMQ835EIV8VOxv3lzYMtmIjYOMB0Itbadm1oioYmo0m0RQF89mNlTMHDmRR61frOz12/ORBXrbgWD299uOY9+Zx6zBxKTOY6OF6OaXmUAVMNaJrpv+5IwNSVgKljAnZF5JiqigJd1eESgmmNBvrGKiiZNlS4cKGg24mOmpquWVP8iJsOgpRKi4Spely0ehE2Xar4ynMUE9lg8SO7ElmVFztfBnqk0vVWCS6TOHkgwDa/Ame4jykAwHXQqevIqwq25SgTf/PHDsGXWXBBtrSh4SunLcSfzqX39d3Dd0JTSGCTluMfPUPDIWAaMZ7kcdr7RmTF4Liu4JT7TsG/P3c2FrSlkRPAlEyeMWXORsl0MCVliPE/mYh12KouB6ZMdmaVaaANCKIx+AxAnNB7ngJgsc+nYvXnRdjkPqZRPYXrmUJIJGMal6ryJgPAVMcqpr5IxNSaZ1Yq+nlnjizltSoix9SMKJ506qKpWDg1gytOXiBeS8Hvc8sZpuFidIAsqatinsdg46E1u7FzyH/2MglKJki8jZI/W44nQPEHD54BAOgfq8Ji4LuN0HkZJVOeIhUQameSXC4Z59GYisWuS1TldQJtb57OXQOj7XGMlAvwPA+uFxyb89vSwcDvwFtSEGQAMP0AzRkHdEAhfnpHvmLBdPwcU1RkYFofQH308Jl474F+4EMGpiSi6BpnTPkzlVs+cUl/VBpKPePXP14xrpShYnt1CAfMnYXf7+oCpIJSPSObRZoDVyn4F+AwFQyQQK1vxMcjZ+p4z9L9efse9hzl4loygM5EtGCbrCliXmpoSNDzMBw6JjeP0lx8VSH4wEHTAdD7LAI8CgkoFsLtsRzXE9/P86F53m/RtJEYJ8eU55ROSceQjEk5pjW+A99n/deLE7Cr3ERVXikwk03FMFSM2Hfr5JjWk/LmWReDg5gah66p/rHvXtRac/9UuMgTep/6NAIDJhK6ir0luXe4Um/FDJ7rFIyJ3stEwnQxVcUxEekiYXvHAdOBsl9cIyrnTuSYhqS8wOQLIE3Ue1RU5a1MgjH1Js4xlR3m/03G9F+h+NH/jJSXMaZ1GHLOnDueExhrfXk/Or09tx1nPHgGfr/294Fn1JaMLhTwdqxo0wWBV8L9Z5oc7X6q8ylcv/p6+obGwZQrcjIv2O8CfOOIb0CXfCWT+LlzFcsJVHIjig1XFP+Q566Lw+dkxV9hYBrX5PnoCGdK1Vjj8bfDmLo2VEVFs9GM/soQbmoKrkMm+8mXEvGIT1Mb4YUaRrfWvCef0zZzGGWNbhCDqgq7PIyrX7waW0a2+DmmRAUGN/nAVHZAbVMUBRLfq2jodcq4J5OGx1hMAoKYSv+/YGoCrkej84Qxpt1D0QEey7FY8SN60XMSfhVXB4DuebABeFqcMqEXPeJ/+ORv137hjENDjGk1VJWXgdZQsR3YFTg5SYK5VQKmnGW1gjmmPCLMc54XTWsU7TzC9tl3zcd+HdQ5i2sEpy6aKnKjACAjKQPf6uwPAtOoLwxLyKu1AdW4rgrVwbzWFGwph7ZxkhVuZWejOaULWXIY423PbcfmkfELMXEpb4qhIcsq+s5RJRc4tsJkZQnGmKYB2Kxd1p6wKjFVpe1iHHdSlRy5aQqBIwE17uTLOaYyMLWgYXUnXZue3TiAR97wpYCe56FQkICpXPzIKolm8eH+ygBtY/K3Lx6HExb6a/pUMiJwPC/+s2s0yIBzfyIZ8+czB1i/fsaXz8lSXi+iOJJsnEH+5DFzBQi1bBddI2XsP70RZy/pAAD05yuwTPrcpqn0/kTJlHklakJqW4qI4kdWsI+pCidQlZfLN7sLnWLZGpfNd6pAgklDH/9aIFWiLRMPFNwpVO1A8SOZMU2OExwhxJeMA35tBADQiP/ss6kY/m1+Cw4OSVXlNi8ccNTrHxpl/FaPVznV0FT0KHQNfDk2DFlF9O/rfo2vn74PAMByg/4eUSz8orkRB86dBYPUqufiHJiy8ZhN0efK/Vo+LmMRVZ8b4ppo2/N2jLOGMZWgOUnXCKdKx6S8Nn3rbJoXLLeL0dWglNdxPbi962max5ZltKgQm/cxTUEypvo5ptUgYxpuF8OtJW0gbUhVeSXSgxaj4+SZPw/DCoL6185UKBKAzqZjqFhurUS3To5pveJHfBzJVacdyz93nc1HOfCnwEWFPfMeTUMWeQZM/fziMDC1Q3tYloyJfqiu1GJLUwlO2W8qtn3/jMjz9c/hHWZy9dIoAFm1oxlTYJyWHKFo4USAc0/7mApgWodBezvA1HEd/PSVnwrm6e3av2IfUxmY/lPyNlm10fEYU4Dee9uzReXedUZMwCouIVzZsxKutLFE5ay+XeOM8WQCLP9dcz2fOFndt1q8TlibCReOYEz3ye6Dc/Y5B3dW0kgwB7JCFAmYujVRZo/XfpUbtBMH89t8JyIcyJLLwHvEFvIzV6Gbz2SBqeVaeGOAqiucXBe0Xa+hUaNO5Y3NTSL2/NRDH8fjSfr6S0kGiDwP6N9AN0kGmIYZm7pzrLaYhszybzVHA8B0a6EbS7cuxZXPX0mZFEUDpuxFmQTXoX8v/oD/ZU4VLrtGWcr713QS17Vk0cNYLBDAYL1E50+l4G/51iHGmBK8ORgtHeWMKa9QfcWCc/DpEebsEyDj2vAIQZGP77nHAhc/CZz5M2DG4f4XfWwpcMH9tI/peDmmaowWSwrDPbMIN0/BhEcA5CQ5JntOKEpVsV1bBBDkQOi4xoJNjXEVN55/SOAtqS0iDFQxIjFg0VLekKMaoaKRWYlUTBP0mEeABrJnxY8AWjmYA9OwxOwHK3+A61ZcN+53CaUSn6/Vgg+wQ4UH21L03FuS9HcyxT4Y5U6crqzcY8aUtovxIsFRPVPV6D6mMmOaiGkiIOCCBIDA6k4/8DFasgKFsxyZ3bbKAuTw53zT+YegvSGOS4+bFwmAPrF/HD/8IK3G25DQENOUmlwy/l2KQgRjqsPGcXu34oHVu8T1yHJlB+OvZfzQZEzFJcdSub/luOgeLmFmNoGpLCjTn6/CYo5rh0LnciRjytZSlRCRixi+ANus4uUtgyJQo3gODCndotmgQLKn1C0Y3XGJcdsEYlLxnZ5ggbyzD/CZznzFRtV2ESO1jGl6HMYUAHRp7smMaVLx511CV3HnJUfgxH2CgeRKVI5pafIB0PGkvIHj2G2sKh6ak8FxJr7DC60zxMItTSzAFgFMeQXabjYeeQVf7teOB0xnjZNPWbbLE/ph/F7pqoIPHUqfY7GUQLPRjO257eI4vobRdjG8Kq9SM0Z3rV+Gq1uyGFp3X0DKC9DKvCLH1LQhE71hxpRbNhULFj+Sgoua1ONZZq+L5uTqz1gSY8qfHZ9fQ2E5b50c03C7GHE4G0d8PzE0BbZUOIznGssFqlS4Ise0T1PRTEYR0xRcdPQckYKxezSIJexQsHgKydP6FABc6V7xxzCRaucdB0zlHLuwo+l6bt2qvMA4jGkoutBT7Ik+jhkHcGW7jJI1vhPguI4v5f0HMqZrBtbgtvW34ZsvfXNSx9czGZiW7Mk5NP+XrWyXqZSXVRyVS6n/w4znztV53mHGtCNNI39XtbbguilZwPPEMbZnw5Wi+//IPGAOvIbfRgEwYM+KMXmeP/6jwDUhrgj0NBs0yryfS/DVIbqglQlBhjncJdOuiTYStuATudE8cdEiRevDgSw5EurBxixrKz6gPA+XMGA6yeJHv37t1zj/0fOxcXgj7FwXNHhokgqi8DzQK3J+EYrliTh1Fe2Knxu19l4AQJdG708xIvWArz3tqXZstfMoM7mtTYgA9p7n0Y2JqEDrPrQv5po7gbFuYPohwHdy1IEzS7BDuc5QNJTZ2HurSgMWBARTM9SxaG/UkNBVLN82BIUVP6oo0ePAci2AECHlNZJZTGP3xQbQxHo+jshjeubhwGEXA7rETs48DJh/Mv2/HsWYsvFESFDqy61vvQDgNWfK7h9evoHeJwBwbcHyjtfGKWjsm6U5ceGRs3HkvCxakv42anhV4dgB0bl9cO2gtLlSuyfIe0nSUKW0FqARk+uRq6t+TmU2FcNebfTe9Y8FZVe7x3aiGNGTVzYeMGlgTlTFKvpythBjuiCr4/krTwBXeyZcByYhWKJsw8L22qqe9cyX8rrR/WDrmDZuVV76PUldFSy6wUDd5SdRya3sxHYOlxCHiSp7adVmyXewSsKZ53bUXlOw4qqT8PUz9pWKAUljZrEhZOCkOIAXtMugDwXrDvipQRDAdF42hjMWt9N8Y8bAyfJcZwLGlN8PRer5WLVddI+UMbM5Kdr49I9VROXhDpUGHKLaO3D1iUJIoBoruwL6/dUqLr79FSGbVD0HCc3f61oSFJgOlnvEPBEO6xv3Ai/8LHQRJmBI80YLKhx49VaAAtP6jOkEwFStA0wlCT0PlMgBE00hkTmmsvrHdsYHnNwK4xSzAQBXpffUVFwctzAbfM9zoasE1ZBcl1fIBxDJmMpSXl0lokqzAKbsGUVV2Q232eJWsko48Z4T8fiOx8e9HscycYH6JGKqhwUsOGo7BE3xpoDPbGgKCOFVeRkwDUlRAeD+wQ1Ymknjl+VtrKiQ/35jMobRkoWRoondo2VMbfTHQ5gx5W104rqKVEwV8tyBnH8cBXccA/g+iOe5E7ZxAXwZuOtBkvLS+cWLat2z8R4s3bqU1mSgNyzwHXvCmHpyRWs2vvn9i2kKA6bMhyUEGb0fmkowrSmBC1mP93DFYC8UnMxiDHE2/jypqvlkC++944CpHB0RjAaPDjlVnzGNkPJGtowBaiLU9eh6blWnKibjRAWQ5Kq8dRlTCRxNNseUA8r/bp7kv1KOqeM6oo+pzhzSf0rLGM+FTQi0OtOHM6aO68DxHHSkOsR79zekAccSY+XVvlfRle/C9DTNnfhnANO3w5h6noezHjxrUjmv31vxPbxS+oUY/VEtdAA/6NRksAqAroXENMo+lRWCDCtjP1iIyK1QahnTxPS7kDN9mXKYAY1Jp+F6No584r34Wey/9pgx3TSyCQCwu7AbtqJC84Am6dmXQout4gEFRcEbhkGBKZeTsnVnjDnHlYh1qOJUEFNiWNC0ANucAkqqv2n+urIDAItcey5l8dr2jch3AaDFgNKQcKtuf/N2GrgjRERDN5TpvSMgaMtQZ8BzTezdnsFrnaNQ4MKDgooq3XMJZ/G5xYGpHs/C4K0iQNDMwNfIngTENEkWaFcoYypX9OVSX9kp3fWquM5xQynbnqP/uo4454HJFhsT64j/C9e9bzH+9O9HYapUillxygFpZl0pb7oN2Ocs+neElFe2VEwTAQYbCi4+NIsnvnjchKesqwpO2ZfKq1OGhmPn02qtRcnp9TwPvcUemLIUOsL4PtToSsCU35NyEJjCMTFrSlIEC+KuhyoheM+SDnzokBk1371zbCeuWX5NrRSfFZYpmvb4LQaGtlJFAisspxKCoYKJXyzbBNN2BViI66pwwBIxVZw/d6A+dPAMTG9KBHLUOodLKMQHceicWVgeN7CzRwpkWOUaYBppsl8i54mP7MBUDKFtLFhcyPVYiy0CnzH1LCk/zmLHAVWPjj3Do2uJV2cGcOCnEl/2uGuUVpCekU2iORmDphD05atwmOM6xaPBiii2mrNpXBoZMFEgq4qy5Qi2VoUDKe0fOrvOkl0StWSE4/rAJcBT1wS/17Hg6Cm8HI/Tq0wH2cqmZAw/+uD+AKiMMl+xkVCY/+OYogXOeMWP+DVxUwKMqQRMuTRUArHtjXH05sroGmapIhGtdkYk9lRmuf6yZhc29IyJAELn0ARrpkL3SjWuIGkEn0/fWDc0RUE1VHlXlpkubq+9BzJj2pTU8dj2x1jwkb4vGNOIQMXMOsA0b+ZRsApCcVTPluy8Fd/Vb8WSoceQYPPe8wgyeibgrxNCkI5pKFRtqV0MCQQTFOKz1Ba8SMY0VzbxzMZ+uB5w6Ey6T2UcF4VQsPjPlx6FZ778LgB+K7V1u3J4z/XPimNo8IKNE1X2sd1JyXn5dbiuJxQDPL/3I79ZjqseXIvrVlyHq1+8un67mHrA1AkC05imiPkNUBUD4LPs81pSUCTGFAAMvR86D+jFeBXqoJ/a1deLV+IGlqapH5ElY6JPdN+Ij3kmW3jvHQdM5byrMIA0HVNIijJ6beQ1smUMUANMZbAXVRmzbJfRmqSb+GBlfDmv7doCeP4jpbxR3+V53oT5sVGfAWgl1P/fgSlnhLmUF3h7eYQTWZ9dQo+mQq/zvKewSHBvsRe2a9ey+45JZZDM1g2tQ1yNg4D8Q58RH+fDlWFg1W+B538y6c8OVYbQme/EjrEd4x7nei7+tuNvyLnbhVNRT47cV+oLBA3gWIirdAGuSIzpmq6go6u5CUki449/Lb0JFz9xMQjLY62R8kqn4RIHTyUT+HZLFh5jTOV56bF7RULjxXItrBukbT1Kdgm2okKFhyaJ5S6FZCkzWZuErTGdsn5mAbs0VRTrqIg2ERHA1K7A0Azs1bQXtrtlFCVguoa1hHCLAz4wbd2n5jsAAKoBFAcCrklPsQcoDorfd3hxAkLEM3OcKvYVrJaLW5vjcNM2kq6LJc2LMMPy7xmfW/yO6VpcAFOHeMieRfOMR8wQcBnP5I3LKvvMMDcO8jPtwCEfp//f9SocFuEdF5jy73ZtCZhOwJhaFQp6Xr6B/h3BgMYVKUpulgOMaUuqtpoxXIu29jnuy/RvCZjOzNZWrE7EVNjsSRaIjql6OZDvM56ddwQtFpMrWzhm/hRcf+6BuIJV3wRopewqPJgT9FDm65WQ8tq0RVGvqsKq5oIRfLaGuY4N1fMQgweTEExrSkaqiq564Srct+k+vND9Ah7c/KDYs3ixpkLFHjfH1F53Hx2Da2kQTVUI8lUbv1i2Gc9s7BeMqaEpYsVOG5poOZJAFS3pGGZmE2hJxzDIgOmGnjE8sLobownqVzyfTMCwpLFslZCzexDvuAcIgwDZCjKYZYBjcAvw+1MAAI1OUNFisQAdvVVsvDmm6Jc7VmHA1PXAUUPGG99PcSWprM5y73l1zJnNCSgKQWvGQP9YFQ7LCct69LzGk/I2xLVacC7JjwHfB1E8B/O23yUOq/RQhUnZLvnAOfxTRSmo6lRxszuASzvasCpu0DUuZIezqrqDhSrueaUL+7dL/YZZqshEwYRYqBAMt4Qkoef3RL43M5uTGCnR1jCe50XKceWg61jZwn2vdmN15wi+8dA6/PzJTQKYbh8swvXcuv6Lq1bZvy48NnfPKdDPdvesgqaZqITGJCH+d33qmHaELS6AaQnJpg346gtfxc1v3Cze588xUspbB5hyHyQqbUW2mEn38JRXREJUOVeQjqVr5LXpuIZCxRbAX1OUAFg+eFYzckXeCsqjfUylPbopqWO0ZGHZhj60ZQzMydJ51eC6NSqmxoQu2iFxyfq6XTloEsif1RwTUl4SSDVy/YJg45jluPjb+l786e9d4jx5pesm5HH3K37gyuE+i+u3WBos0AAQD+TJxnOeOcsdZkyJGwSmM5oTQspLPHpfNH1EBKe42qA/dF0ZUsQnOqbi6lY6/2aQQVyhPUA/4/nzZrIF4d95wDTnA1MO4nikpupUhZQ3rtUWqhipJ0eyQ8BUAgWv9L6CJX9YEnBQilYRMzO0CuOEjKlri8lXT8orLy57UjkYCEZAv7P8O/j805/fo89zZz2pJf+/bxfDKzrzdjHAPweYnjzyHFYkEnVzTBdNWQQAWD+0Ho7nQFWCG2GpmqthwhVFQVyL/0OBqWBMy0PAo18Gnh4/j0y27jxlUCY6n62jWzFSHYHp5UW0bzxgKthSgAJTxQemp+xFnfJbXtyOhriGrOMg6bqYay4GIS5iLctgTH0s8J3DlWEYrbQ/YDhoIyu2XM/CFVNb8UAmDZflClnbngWGqULD6mZy2+5X4Hqu+K6b1twkAl4jlRE4RKGMqVSFrhwqgpVx6GfHFAWwylg5/CZOmzkdj1uD4loBoBKRJlBxKkioccxrmAsTHr4bj4i4VsZYjqlKGdMo02JAcRCOtCZZjgXkewPRUIAGwTQufbfKQr40YFRxZ3MMm41upF0XH595Aj49MoJvDFKHVQBTzpjKwBRAUyudB3/e+Ofoc5zIhrcFix8BvpRXNYAl59H/d78CN8V6Nyo6cM4fo79PAFNLFD8aLPfX5OsEjOWu4vW72Qv+evzNl76J8/56XvDzVhn9+SpO2W8qbv/k4Tg6qgKhY9N8Wa76kYDpo5cfixVfPylweCqmwWNy6iK0GunseHbsghZ85bSFuPLUhSCE4L0HThfMGwD0sRoG1fEhfW2OqVVCyanglFnT8f0pzUBJ2ieZqslxbSgAYp4n7neU8T3uuyu+i2+9/C1RLZ9LRAtVe9wc0w/uehgnzpouAhjyscve7EOFOW2KQgSTMrXB8BlTYuGgWc0ghCCbimGYVcM8/foX8MzGAWTY8KsSgrMXSIEGq4x1o8uhN60G0euotQDRRod/BgCwm+bhb4jpaCXDkMfVuUe0YkFbmhZN4oFzx/QZU5YfZ7ueYPTS3vjpGgfPoukTB85qEmBq2yB1+GcwJ7gtY6A/XxGOK2dM9QgZNZfyNiT0ulJeUVGBXYMKB5kR6mR/wrwSJZbX7pojUo5p6DkPbvL/75hY5VCfcLemAZqBh7Y8hP1v31/4frwy7MptQ1CqOZzR4tfo4IHPen4at3pS3iNm+fOGO/LyWNuX9V7dNVpG53ApUASNm5wz+PLWIVz1wFqc/9uVyFdsrNw+DJOBrR1DRXzzxW/i4DsOjjzHjhZ6z3OuBY8RI00qXQNv3nAHMOdqlMKPTZLyKhws5HYBO14E4LNhRdNBIk73/aj2dTIw5czx1Ex04Ti+bnTmOyPf58ZvlUqAOJ9inoK0nq7xmdMGZUx5gTNNDUp5D5jRJICp7bmB/qAABaaDhSqe3zSIk/ZtEyCvwXVRsIt1U5iSjGnfMVTy2xABmNGgQyWA54b8HuJh50TMNyizfukdNEjDC2W1pGOYR3ZjtfFpfPogX82ym8uo2Tn/fNkmHPrdZegark0r6MmVYTJfRDCmqgI3oqc3n3ftjXGohLaLWZidRw/RcyKfN5xTz21KLOgnLlG2+e+pvtLg/6SUl4AEwFMYmJqOKcBHUg9GaBSiYKQygt+8/hvRAkDYOIzpzWtvhuu5WNlLmzeX7TKKVhH7ZCkTEVUASWZZHc8RDto/kjGNAlSbRzZj+e7lE+a9Rp1rSk/9f1+Vl98XGZiG5WH/SKuXYzpbzyCpJbFucB0c1xHSXm59xV6xYAPA/Kb5mJaahoSW+MdKeZnjNVwZnsDtDNr1q6/HvZtoPuREwHRVLwV0DiqC1azXz7ev2CfyS+mHTCQYY1pWdeyVoWN112gZHzxkBqqE4IP5AjLsGC2zFnqDLwkibhILmxeC6DkcOS8bkMz/+3HzYEg5pi5stNvBsWDlOilgh3+vHNfGifeciPf95X0AfIAOAP3lfjhEgep5aJR6G4YZU52o0D2PAlO7ijUFuilvdKgjyIFs2algsDyIn/z9J2K+V+wK4mO7sdfahyLvIUBzVyhjSoDsXtEHMcZUdo0KVgEo9ApgzI0QAo3nsjpV0dzekZjAtOvhZLUZp5bKOCdfwAxoYh0VwFQ1BDB1AWTjNPfphV0vvL15OLiZSpdIlJTX8NlTuwyngTIAnqoD+54FXL4G+NQziDS5+FF+F7w/vAf4/buDlXu55UPF56SJ9NCWh7B2cG2ILSxjpGiiNWPg+L1b6/y+BaiaBEz9PSET19HeGA8EWeIxiAJpZUUPykEnMEIIPvuu+ZjTEpGbC6CPKZQmShgROaYSMO1jCpXliUSwuBRzfFzXgup5MDwPDiGw6/QZ5+tFf5k6wc91Uck1ZwAsx4sER9y2WTmMqqqQfMvOz9Nv9aNYtRHXVViuhSl99+JF43K0pVThFyRQxdGsouusbBKbeguiZyQAJHT6LKqEYJ8G6VlbZYyZLE+bjDO+CzIwZXs3UbBd1/CR6R0YSfUHZJYtDR6e/NLxaErGJGDqS3l5K61i1RbANOWNH6w4ad+pWHX1STh2QasAXtsH6Ro2o5nOo9ZMHAP5Kga9Eh5PJdFG6DjTVFLjrPMiVg1xPVCoC0CgknBz0tcVqY4/v1a7C1BK0CClZ4/ijuWUURPPLs0YvQAwtdDPCrZ16hrgubhrA2Vgdxd2048xmcwLmwfxp9h3Me8tn/HLTLL/b1xy8GUpb2vSf0a8Kjdn6pIxFfOkPsgrtw1PyJh+e+l6mI4rGP1c2cKGHroWVCwXS7ctjTw/Dx4shRLvbCcAACAASURBVI7dPBx4Ht2jE7FZUD0PK/N+OpwhKXsU4s/yKpeE3ngUcNuZ7PP+dY/XUkd+3u9iFad5y6Cw8TZT3fnucUmCvZgCZOHUtFQbQkEmlolmTKs+Y6qGpLxLZjaKaWMzKa+8JjQmYhgpWShUbZy0z1Q4khrE9tyAbxb4XXZPNvXlA/14swkVMY3ArU5FknRIn3CwY2jiCupyAGOKVAl5KhmBQjzMUnaI94fUIDB9dC0NnO4aLSMZ06Cm3kJi5i0APFx0yyrB2PJnpmsKXCnnMwxMOxoTyKsmVidVGFoczY4LRy+KvHae40vP1Q/SqY7/jMK+5v5ZDyezlJLJdv16RwHTbDwrnBmgFsSZjonhyjAUogSZFwAt8RZsz23Hr9b8Cu996L3BLw4BU3mClEPOCGdI5zfNBwGJBKayZNB27QlZuQAwnWSOaVRu6XBlGLZnY03/mohPRFsAmP4vSnnzZh6fe+pz/+0qw+OZzJjGGJjZ0xzTFT0rapos17OxOs9d/c/52M9yBGMaZhDXDa4LLH43nnQjbjjxBiq3niB40Ffsw+3rb59ctTfOaLkW8nvQB/B3a39HE+0RajHkWDX5cH/v/bv/B4uM1bvnfaU+NMWleetaiKt0QysbKRhSQ/Dzj5iNKiEwPA9NjPpU9ODciXltaDKasGiGhrsuOTIwz646Y99AAMk185hthYAp8ateWuxfGx6GKkNCwiwHwLaMbIENFxqAxop/H0ohIO6qOhq0JAOmFZGSkGL9ActcyutY+PGqH+P2N2/H8t3L6WvVMcRdD/PWRTslAJXgOo6Nm9NxjNh1xqpmAKVBONJjL5gFYOEZNcAU8Flu265gMetbZyms8Eq8FQtNExhirSoufR5648wIxtSA4UlFe/SkaH80Wh3Fyp6VwaDaaT8EjrwscB4Vu4I/NqRpPNpzgFynX8AI8MGoFvf/D8BN041PKEyyc4HpIbaBK2ekHNMyAYo7XwK6VgC9a2vuC/K7Qy9EFTNiQQVCYFsljJYtZJMREl5ujkmZXV7IJWJPkANUcZ1KowEgnk4AIzuAJ79VowR6O9Y7TB1/k4y/nogcU178yCyg16Xn2Og6QWDqBBlTg8kTzQmAKTe+78elIiuTqcrL74ZcjXioaOKPKzsR11R8b8X3cEf6ITSoQ+jQiwJAZ0gZFx5Kx88XTt4bHU1xfPyWVeI7XJU+37Ki+L1bAcAqIsdUEFDGAaZFyYeQ/I0cA9sj8XwAmAb8Hv5YHFO04+CMab5sQiUeBrxGeOMBY2a8PQ0HU6MlC20ZA/HKIPDyr9CWiaE/X8WLRh5XtrUgoY6BwIXnBXumAn4rjExcq2Ug2Xw495CpOExq56VZ/prpQEGJFyxz8vjV03RtEUWr0iyoIwHTYc9GJ9sj3ozFALsq1iCuSjI0BYamYKhoYoGyEyNSQOPGDy3AHRdL1cDrmNyjWJXnO1trPY9ADzGmLWlDVDYGgJXbhyMZU1naWa+/6aWxx7Ejfp74Oyp9K+fyvsZAxWaBKiWFdjf4LBokYBpX/d82uY9T9QMaMuMmVy7m+yr3e7mk9fcXHYqffngJfn7OErFnhI2vG47niOBBlLWk6b3LJnUQvhZ5BGk9XZPSl4nrGKvYUrsYJSDVPWBGk9gHyo5Dq93KOaZJfz/Zf0ajqBrL71W9yrxcxrqxN+8X1QLQFKfAFCCYETvMv6aMPnGuMGiBopim4OBZTXjk8/8mXv8YW5Pskh8cFz3DuZSX3aqySVUhiZm3Q0tvwmUnzsWmvgLuWkUr1HPG1FAVeDJjuooGbjiub0nH8GyWjonXB15HAgQecYTShBBCC8cBWDLT9+UUqTVR2L/QzTG0N7JiaZP0Q99RwFQhCj6238fE3xzE8QmRN/N4bPtjaDaaazazNkXHrsIu8XcAhI3DmIYr1fJCMW3JNjQajegp9tC+gcwe3/54QN5ruZb4vnoVYN8OY8qBiwxARhio4yzVZIw750n9f1fKu2V0C57rfk5Ewydjz3c/jwsfvXDSebW8b2dSC+aYfuX5r+D29bdP+Pn+Uj8+9cSncNULV03q9wbC5dgBES1enBvAxuGNKNtlKETBxxd9XBxy1eqfBBz0pngTFKIgrsYnfEZXv3g1fvLKT0Qu9iVPXIJlO5cFjnE9FzeuuTGQ1zGshOVW0RYGvPI88u4+D+4P/OIlrufilb5XRA4tYRLZehHHqlMNMaYWEixPqKInoNu+4zKnJQ6bA1O2EBI1eG9SSjsajUZsHNmIH/39hzU5pvJ8tIt90ELOlUWIkGFa4AA1+B0yMF3esxwjrgnN86BXxnDJdCq5DDOmHoCGWAZjKgWmebbGvKpYsOwKbC7l9SzhWPHxUKmMIO55SBsNeL+bxBxoWH3h6sD3D6kq3ijtwi8zBr7x0jeAoz6HGtMMwHPhgCClUUerYBVQOepzeC1uYBoD6Qa7/yoL5Nh2BWlDw2mL2mHE6Xn+eMEF+NHAkA9Mm2YhrsZF+oPFWExN0WCE5upXDvsKAGD94Hpc8sQluGa5VNDkyM8Ap30/cPzD2x7GD6dk8frRl9IWMid8Azjys/4BXMqrGYECSG6csbyh3w8AYQ4ApT6mADDAARCJmCM1jGkEuGIR6JNnTsOXW3rguF7A+ZHtmuXX4AtuD1xVw6hdwRojFgkw5X1JU124LHfJUjRgeCvw0vXApvErXU7GenOUza+SWlZMthopb2UYvSxo1ey4QHEQa4wYHkinKODzPLiuDRUEOk/FqZPHGt7L+X4qM1f1ckzlc+5lzhGvvCsD1IFCFX/bQasy5xUFrUoxwHRrBco8ZFMx3Hj+wchXbWiw8Sn1EXisCvKwHgtKlq0yhisMkI8HDIv9NB880+EDU6L4cvJYNVAxtWAVfHm4JOXNGCoI8RnTwwbuBwBs9abVyPPHM7mQ1MxsEvjrl4AnrsYBZCuGiyYqzOnerREc3aGgajuBKscARM/fo+e3AMu+g6s0ST7PHN9paRWJmCqAhi75Pg4ISmz8lKp5wRp2jbBxz1kdDkxdF68xRu+wcgUrEnEMuqbwrXgwlBBaPRQArmnJ4rjZM0QO/PS4iWMX1FExSCarCxQpZ9AzfRadA1I+LlvSsUArpFU7hmA6Xk2hoEEmE59XR8EAAF9UgqkPcuoZALxnyTSMSa/tNY2OqUOmt2KGFvzejPTc4pLc0gwH3z1PyKABnzH1PA82e542m5fXvW8xLjpqNo7buxWNSR1nHTC1ro8m+wIT5ZmyE5ECyjTHtOJUAuRPxtBQqFiiwrFCgI7GOI6cl8U9lx6FOVOScNmYK1u0a4YMiJqkVIbGhA4nVHG8XnFUXjRr12gZGamqcVOcwFBddJBhHJTx0zBmNhuTYky7R8owbRcfPGSG6IsMAKfvQ30lq+zvQWYImPJ5OVKyAtWmj5zXAIUAfayqLx+Hukagy8Hs5b8CAFH1PKYpSEvBDQMKXBJ8trwXdVPcP04+ohgGn5VRnMQY00NCfX/r2TsKmBJCcP6+5+Orh30VrYlWAeL4onPr+lvRle+KBHdTq+VA8aPufDe26DptdD8OMOXfxWW4nCFtSbSgIdaApVuX4pxHzkHZLqOv2Icrn78SX3r2S+LzJaskJo0MQLfntuMjD38EQ+Uh8bpGtEnnmIad+6pTRYlt7H/v+3vURyJNRLn01B4B04JZwM9f/TmqThV3v3U3numsI4ubpPHffmvkrQmO9O1rL3wNawbWTArMd+W78KknPgWAFT/yeMSsjMe2P4afvDJx4R8OwjYMb6h7TFSxrICxRXyRSQsc8RZG/3Hof2D1dj/P4tU+v7UIZw0nI+UtMznUmDkGy7WwsmclvvjsFwPH7MjtwE2v34TfvPEb8ZqQgExg4U1QZky/N/J3LJk7SziDnWOdyFVzOKjlaABAbzGYexhlAcbUMRFnVVjLsQR0KVIpnFPXw8LB6GBGVp8lqnPf9dZdNXJR+VnZpQFUpeh5QtGpwxJiTGVWx/VcJDQ/em67NoY8CyoAlEdwTiuNvpdDTqHTPBsNehpjigLPKqOPjYEX4zruWn8HACDtujDhCaaSs/SV4gDingek23GtlcRSZV6gynGHbaOsKFg/Sh221/pfA979PeDKbcCX/UbkvDCIQ4BZaRpMKJgFfHvFNRhVVSQ9F5/Z50LcdtptACByTB227tx0wcGYywqHJGMpujoObaFtaOJNOH3u6VjdvxrfePEbGDv1WgBATInRc5eMK2B4ZWO56nqUPd/1PABgdJ930xYyx18ZZD4FY2oEWss4rAKwHIzYOroVR9x1BB5PseMqPjC1ZGAq5kYEMCuEcqwi279Y8ADkVBUjLPoxy9sFRFS6vW/TfXialDGmKLjkyU/hwmnt8CKULDKgHimXBDANBEH02kJJe2p9RZ/FGE9uzdeFjMICSdUcej3GOLouMLoTF05rx7dbp8CzyoBdhUOoRIzLu6skeu0Mpzrwvc+QinlodSLtMrvxen4HBoY2i+h/Y0LHcUxO7biemGMFRUGbVhDMLgBg1HeaFzJZ4X7aOnxdvwuqR8FoSdFCwLSEQQZMo6S8uWoO6wfX0zGUbKEtgqwSynYZV+94EDt1Ovd3x1xcov3Fv6betcC1WWDbs4FAiLLmDqRjGsZY+5GPDt8o3uMO62SUNKpChBxvZrM/hmYog/ik+hgaQP2oLl3H3vEciFSc6IqTF2D9Ne/GgTMaseL0PnzyiA7grUdxlOIXaHnWzWP/ubPQWR0Nst6MMTU9FWXFByAOu3dNyOPa144BNj/p+2w5RjY4JlbHDcSIgktGx+ASgk3ED+zJ+xR3wl9gvaQ3xXQUCMEhr34Hz3c/P+H9kXOweY7pkJeBJ9I6iHDkucR8StrAYXOz+PjRc3DJv81F13AZz27sF9WLuXHGVJb9cssYGqBUkVeDxRIt1xIA5HMnzMc5h81CzrORZfmD/RU6h6clGjEjHsxpT0uMaSzmAxLTKtNq1twcKyDfDTCmu6ivYrG+sa0ZA9e8d7EA5QffeTCueOaKmusBgr5259g4eaZSayXusx6/dxsyrG+tDBbThobBgokbGMtOCEFcV/Gnfz8Kh8/NghDK8gGAS2qr8srgL66rcNm618jAdT3FnNyvNwvfj2+OE7TaPWjHCE7MLcd3BugaMa3ZmFSO6eZ+em1zpoTGBPMly1IBVgFMHc6Y0nExXKwyxpu9T2ykDE1UGOdraUxV0GTV5g1z4K4QgnkJP+AbJwSO4uKjh88Sr/E806aEf09t6f4WpEDj4Lz3AnYFJ8xrwNbvn4FF06KZ9ZrzmdRR/0OmgBaAuWC/C9CSaBGAJCxvjHJ82yrBKMfO/E68f0YHPt3eNm7xo3By92ApCEz58d35bnE+ct5Z3hwTwFne2G9ccyM2DG/Ac93PCWcpG89OmjHlE5pLEnhy/xTHwfrB9ePmmZbtMtYOUFka36hSegoluzTp3pS3rb8Nt6y7Bfdvuh/fX/l9XP7M5ZP6XD3joG/j8EZxXnIF5ijjoCBXnbjYx9OdT4v/p4Y7Eb/vYgDAm0NvTv4c2TgLM2+yTQju2QK6qOo7PXxR1QG8uLMbCkhgg+RSqLg2MWOa1lkLjuqIaJ0UNp6rJdtwHcbhS/eswRUP34LVfZSVq4Sk7bLU/c8NdJO45uVvAwBGH/kCAEC1aUNswqS84aCKnHstGNNKjuaYsurXFc1AcudTSKOEbComviOWnIIGuzaY45RnYknD2QFGNyxVl9cJqziIqsQat+kZJuWl80EwplJO0Vh1LDCnZzfQHl6a5wGVUSTYAlwK5b+5iiaA6Y/X34IXdX/ObR+h47+JORV8rA2UqYNbKfQwYNoGOCaIFqw8+cs+etyLrAhI3sxTBy81Jdg+gRcWAUHGaAQBQcEqYHU/fc4louCzSy7F4pbF9HDBmPqF3EpsnUzyCuhDW4GmWQAh+Nh+H8OlB1yKpVuX4oerfgiAtvAyQusLr1C9eZSCZhnoh61iV7CiZwWAceY8zzFVjUAvVDfmb+qWa8F2bVz2FJUJP5ll+WoSYyrvIAKY8rFeyQGdtOaAKM8vLGL9NIvoCwR+HJz69FnAz2nxJzz0WeCVWwOsQkVRsZGNBTsibUNmTPfp8BmAtfYYujQVv21swKO9K2rPZQ+tT0pVkeet7QZTRkzHhAaCVIIGGirVPIpsbtjJZtjrHxTHDpWHALsMF4BKFDEmrAmkvAQE01LTIhlTTVVw45obccGD7wNW/0G8Lvcuv2r0VVz9yAV+r1JDxZdO8SsQ8700ryhQK8OUMW1kDteo7zRrqgKiD2H7gj/hirYWmr8KJuWVZLmeWfLbDUUA00ueuATn/vVceIV+Ojf1BGCV8Vrfa1g6tIbm5gLYqev4UMxXveSHmTLh4SsQGG8PX46koYrWELuUDnZfVRQJCyxNUF0ZoHObr8gzs0la4RpAmzeMb+l3CFlwl6bhyr4rcf/whwQwSugqBTBbn0b7M18EWfYdlHI7oRJ/7X2UsUlrzUHKmLJrUFlQ/rPWFdhvln+ejuLgrAM6cMEcNj9fut4HptzPcUysM2LYz2jFfIvO3p3Er+8hj92BQhVZjNH0AwDXtEzB6rgB03Pwy9U3AJ6H/lL/uAze9eceiD9ecoQApqvdBTCrfKz5xXZ4heOWtAFdVfCd9yzC2UvoftiTq6B3LLgnvbmbXuMRrHrw996/WLy3eHojMgu/jatbg2uk6ZgiXzXNWM0cXOxl0mt/fYgGBZpiacxonBP4bML19yZL95m3qlUCfnWof6BTDagSWk0WEBjaApvd27tH19ZtX/hs97ORr0+eMeXA1BUBi48dOQ9Jja738nqYiWt1ZdDc3rWQsY2sKq/MmMqSawCirRVXg+SqOaGKdFwH1y6/FltHtwbaDHXo/r7QGFfhEQ8KgEZnBPyoaU0x9I5V6rZy4baFAdPZU0KVjZk/U/T8a+V3v2toDIdc9yT62PhyvWCOsEsspA1NtIsx2BoW0xRk7dpK9Pz2uJ6H5hQdY187/GswoKIhpeIHH9hfHOsDU39tkq/wwQY/sNIylRaRRWU0ILeeyN5RwFTOVZjTMAfrB9fD9dy6k+HIjiMBADf39GFaIVg9t2usy/8jnGM6Tt7hjrEdSGgJCkylXqmd+U4BDuXzzFfHIhlTDngtxxKvZxMUmD6w+QHsf/v+yJt5/OyVn1HWI2RCyhsCpu8qluF4zriAa+mWpTj/0fPRW+wVG1U2noXt2nss55U3/v+O8evZNLIJtmvjwS0P4n1/eV8wRzFkfFEarU5c7EMGIanBjZhj0gkblrmOZ/zejMeKTsh4sxzMGbY/VeVgRKPr4oDG+WKhPbD1QPFea7J13DwMwAemg6XBuvmoUS0wBGMaAg4vbxnCU8M/x0WPXwSA5jjKtm5oHa5ffX3gtfu30JYOY93UMZ5iUAeJqPSaTMdERonhic5d7Jz9Bbfp1TuBFf8lIuGJJgr2xuwStusaLuv4HX77sUPFeIm3LUKi3d+8ec5itf80tKRSgXsb3vjkKt1WeVjkdgJAq5rATl0TpfYtBhrkthlDlSGx9lyw7wU4Y+4ZAAANAMqjSLLNNCxd8eAhG2/GBiOGO0fW4LycP2Y81jKm2Q3O68HyIGCVUfFc6sjbFbpuMYCZZnNhgWkh6Xp4Kek7LxuHN8LzPKwdWOsHnhhj6hICTY0hpafwyLZHRI53MdEAxP3opajKK42pcpmeW9JgwNQsiNwvVVHxuYM+h68f8XVxfFJLwjj4osC9mBKnDhhf4xLjsHyreleJMV0XmMpSXjauujQVVd0H8GW7jJU9K0Vqhz33OGDBqX41W4dKeaewOTrI5wZzBP7zb5/ByrvfSxnWcEGkiMCeU81jlRRlbtZ7gges+SPwyBUBJ60kBUmqEUWX5MDjjGwMzRk6Dky4OGPmdNyQbcJXt90zYdX4iaxPyvszpd98cdeLuPCxC0Ug0XRMxAAYLJe3xymhwubKS6qHt0Z8tr67uBuwynBAoBAVPC5TrbOu8j1qTuMcNMWbROBYZtt0leCm12/C62NbgaWfB7a/AKB2f9riFMCwApK6hqmFDZiGYJ2IAlEo82lXgewcqgLoXRc4RjPoPHkmlcSWJgo0SqoOCDaFINf/pjjXKMb0rWGqDqoU+4FUCx2vVkmohnjev00INklNlwv8N0a2B/NTAUzRTdGHdtCj8/cq+2IME7ovTLbveZM3hjRKtC0FUxu0lGjRSM7KdOkaki51mnkFVOFc8nmw/XmcMK0FF8yRpOvseXquDUNXBLhTLbpWf+uDh+EzJ1PgMNNy4CgOTtlvKr58Mq0CCkUVbJEMTPOKgqyWQqvjIOG66FQ84VuJIO1LN+DieaNYomylEnMAG4wY/jNLf8/sWwe8ehtOuvcknPXgWXUrcr/3wOk4Zn4LUqx1yawDjsdm/oxcVTD4HMy1pn0Wrl4hIADY2JdHe0McFxw5G78+72Ccd/gsTG9K4Gva3ThJo8zk8gTQqfnsnOVYqNp+yyPTMVEmwOGVCmZZFnYUupB0XcS0OKZPCVZpjzn+9xQV3y8wrSJK8NDFfyfkE6dsNu6K/bCl4Mhftv4lcNxERIfc3nFSUl67KtYDVVHFfiGvh/t0NGBaYxzXvXcRvn32fpFfo2usZoTnwPW8QBuiqQ3BYG84x/TSZZfiXfe8C6ZjYqA8gHs33Yu/7fibKEwEAEe0A72qim5NRUOMwCUqFHiImTmo7J5Ma6bHdw6Pz5pu7stDVwk6GkN7I9uPClLgW8j/x4oYKpqBXrnBfsJOgPXmOabtDXHoTCXzUDqFuzN07vN57bh+ysU5C8+BQZSaFAz+Oxmpf65c/f+WxjSG+Dmz/WJPCvYB7zRgKjErx844FkOVIXzyb58UAzobz+JHx/4I9519HwDgFyf8AneeeCOOqlTRUQ066XJ5as+uYrA8KBwV0zWhES3QX5IDm+1j2zG7YTYUogTe7xrrEpugnBNTMKOBKQc5PcUe8X6z0YyiVcS3GeP05tCbuHX9rbjosaAzB9RuMJxR2ZdFAcdjXgfKA/Dg4bX+1wTI4g7iZIEmzz2bbCGgiYyzWVWnis6xTsGMjCfv4C2BJgVMpYU1OboLHbaDpBKLBP31jC9+Y9UxXPbUZcKxkE2+H2lEyGMZO0oA/P7U39PvCz2rY7KUSYkpOu444w7x+t7Ne6On2FPrlPe8Dtx0DFAZE4zTQHmgbjGrqIJdw9z5Dm1AI6Ugu1mp1N7r3639HQAgKcmC8lZefGdrnDOmrA2La6FBiaGVsYJpxd+0mwc2Ab1vAGN0Lsaa52JB8wKscgt4z4xpuLFpN/adZoj5YxANMdXf6A+ZeggICGJownsPnI7PH/R5MR8HQuqH4fIQmtk5mOWhQFJ+V3UU/ZqGu1n+GJ+jeWkO5808Kk4FU+JT8NXDv4rT554OgDGm5RHoIMg4Ls3frfqKDcdzcEi7X2TjP5y0+L/Nxk8Tu6a+IgUxg7mdQHEQVUKQcF3K1NlVATDvP/PP+E2BQPnQrdhP8dnBhJbAN1/6Ju7ddC/Oe/Q8PLadtdNhgNZWVKhExczMzEDhsWJIsq2x3xHsneehVBkBARBPSkwsB6nMFjYvFP8nhMA49XuB9xuNRpw25zTx2wm1PjB9rus5JLUkNKIF5nwgUCRLeQlBZf4p+MD0Dty1xWfsSlYpEDy0XIuC8GpQytvsOoi7rp9japVQtIr4w+haXNLeCuS6fMdYWK0jZpp53J/xn8kv3y9JsiS1jhz13yb1FKxGBJjkY03HhOW5WOxqYtxw25NCeGHzPA99bkXI/UxJLsfvP5dgV50qDM+DzhyNP2aSGGXnWPYsXD7Vz93rfv4HgFWGSwCFqL6Ut47En6+7i6YsgqEaflAqIOUNuSoPf4HmeJaD+9mAqiBu0T0lEVPR8efT8HL8csgx/bxCgMIAbKeKI9GJv0xfAHStDHzPeXv7wYVexpSVNQ0gKnZrKi6fvz925PzaE+PlmBZLA0DKZ0zfGqL7yoqEPxfWx3ynNy/vF6XgWn4o2SgYmAYvh1eSx6LLm4phQsdceWQbsOKmuufCbXX803jC+ApmZBMCBDb0vYweVRUMcZcEjjZ19SGNEj727LHA6jtgKQp+lG3C6OAGlBQFlkLwn8fTNYf3RvRcGwldRZzxPCqbf7OmtmKk2gcAmG26sIiLfdob/Lmi+D1mRWDIMVEmBAk1BnLVbnTEGtCn+Pt+xanQnqdPfhOXbb4ENx7UFci75WoZkwBdr98pXh+660N4feD1uvPoqDk09WThISdgvUGvTyE2beviWEh7JbSkY9hPkijWyy8HKJ7ftyODREzFmQd0UPaaABeoT+LEEd8XOHPmNPF/0zVRkfpRjjH/oAkaPjJG52yT4wKKjhnTJBYUAHGlc5EKnJlWCb9ubsRHp02lK1pYfSVlN8jA1M33BQ4Lp/6Ejfux8xvnjt8yhvsldlkoSxSiCHJCJlQ+dMgMvPS1E3Hh3AI+cVhbzVcBtD0cAOh2DjPLbwWkvC3pIDB12G83KsG1dfPIZuG77RzbGXiuS7IOTpk1HafPnI4Dp6fhEQXEA2JWDkm23jWn6XXUyzPVVQI1uRVK8zLMzCaDjGKhX0itC4oCjTHfPAVlw67a1phDRROceXYRlGZzYPof716IhQl6Td9snYLvt1AFDL8/juvC9FyoHqsZQTRUQgFFnsuaiUtFYEPnck9DGq8ahihKiAi/cjx7ZwFTafCcMfcMfOHgL2CwPAjTMXHcjONw+UGX44x5Z2BhljpDKT2FJU0LAAAdjn+TmoymAOAx7RJOuOcEnHb/afRvx4Su6uhI+aWdRSPg3E7MaZgDAAFg2pnvFKBOdvzz1VyklJc7Fr2lXuzI7QBAGVPZeJ6hByoteXn3y+I9EV1nawJnYOcyGcsbA37bjLBxVm9N/xrh1LUkaO7BZECe/B0cEP93TV5YNgxvEH/nzPoyGWfMhwAAIABJREFUXQ7CJnPO8vcnhndCATA/3hp4nd/TMSmYIBt/ZqZr4vnu57Gqp7bIFM9p+kH/IJ6IL655X0j/iCry68JA89+aaVTTCIFE7uRzZ1DYU9cCfeuAzuViIxitjtYFpv254AbQZDT5Ul7pM2XTCbA4y3YuQyXieShEgeM6qBKCFha5XTewDt9kzZSb9CnwXF0A06pThQ4CDVSymvb8ZabJdSh4zzFFQ+MMHDv9WLxq+Iv+mp6VYvxlVIO2AGF2zYLz8MKHlmHDVediZjaJ2Q2z8eezaLGI/qK/abqei6HyANrZ+dqVUVThYd+qie+nF6GPVXdcA3o/bDYectJGW3EqqNpVESCZ2zgXF6EBx5fKdKF1LLQ5Nvo1FVj6eWRYhP7zB34ex+11JmY7Hn7eN4DYXieK78yxNaSZyWN7GGAb2PEc8MJPUVYIDEWn48gxRUXaaU1zcPRlbwCLP4DFGSo/bHQ9/OKEX2BrbiuuW0F71G4a2YRto9twZmUDBhUFLgOmfzj9D/jD6b4EMpxPKIofcWBaGkbZNZEgOkhaKhhiBPOf5CrqgB/Qku0Hx/4AH977wwCoBD2qN97qvtW4Z9M9WNyyGI1Go5gzj29/HEv+sATv/8v76Vjlkl3maA6f/VNUFCUQ/CnZpYAE3XRNCkx5jqlZgEkIYp6HFqKhX0h5K6Iac8J1gdGuSTGmb+a2YXU8jo+001zrkYIEWCRgIcvkv2j57IEZUSwsAExdEzk4aISC+Vrw/q8fWh/+6KRtzBxDGR5mskJYVQmY8rWFt14zHRO66wLpNpzYRNevTRK4HpDYzX5NBUpDcACoiiaA6WOlzhoFS8EsYLQ6io5UB75w8BcQU2N1pLxSoEFP0QJQmx4XxQpl00sUZMQ1/zNE85nhZ6a0Y3DNncg5FRTh4kckB/StDwSXMqlgMPGQqYeg7FSBJefiZ81NeMYZxb1Zf15ceVqdtk0AipVhKuUlBOhehbci9m4OegDGmKZaAaYmwb5nA5/8G6DGcKi7Fh2FtSjf/XG0ecOwWcC5l7VeGVRVmI9/LToXOmTTyDBmZZMA2yO1XCdOnTUdzzM1RmfMP6fP3PIcppEhxJwCsPRzWNb5NO5sbMDPsn7NgA+v/BAAgIiCRCbazG40EbrWKlxtpCexu7gbKT2FFofAVBzMmZL0FQ1E9UGqWaTX4pgoEwVx1QBiKaSVOEqEBKW8rBf1S4k4Cm/dg4ok9a8yp98iBNcr/h63btfLuHb5tXVrUFx4xAx8pyWLewZfxU5dh+J5AHFQNm3goc8g/tM5eOXqk3Ha4nbxGUNTocHGF9T78cMzZ4s8Z277TQvOYQW0ZVGmtDHyHCzHwmiZ3o+mpI4RVim8MdmK9xWKMIhG91VFw/TsAvG5aZaNvSoRfZQBmKUBrIrHkVNVWiMhnH7DcuU9eLClsaT2rgVe/xNyG5aiZJUm7PRQZaqbGdXSuKRIySrghuZGmGbRZ0yJKnzAsNKPVMeAm98FrL4j/FX0+phvtV3X0G6tC0h5w4XUeI5pA0s74bZ+aL1Iw+oc6wzgk4zrj6GUDjQmdSgAZiQqwufQWBeBS+94Fbe9VFtbwfOA5Ozfwmh7sja/9C+XAStpgKmgxZB26DmbhNAc7UrtnvF6lxzMtQRjqilEgN6GuI5DmmsZXJkxNT0HMQZwDUWDiSAw5ZLhhOI/E4cQGrBn9v+4e88wOaprbfuuqs5penLSSKOsUUaZKCEhkhEZYxEMBmwwHDDp2GAbsPE52NjYYJtogm1MsogmRyOSAIFQRDlrcp7OqbreH7vizAjznu96r8vnW3+mu6equivsvdez1rOedW9plAvrqnkzo5c9/v8iY9qxGeXWMi6pOoyXTn2J985+j3uW3MMZE84YupO+iNXZehROLJvIvri18CcH0S9zag6P4hkWmPZmek0QN5jKax9YEVVlSjbL/kQzn3d8DkDexgU3Hui2RBu/XP1LAMaUjHH8jk/bRJTWI3tY/vJyLn3rUn77+W/52aqfmYDBmHg7U51IGozUnYiHNz18UIVbw0lb27nWHORGrZed3vjElie46aObhj2GAQb/VR3o1zXjfGRJZlvvNvNafhV11a8/nv1fI9pivzdSn3CmxnmcCmB9mT7aEm0c/uTh3LXmriHHGFy3O9xEagQZxufyhIfrW2s4N4qHUp/4/sEZ08mBGko1CU/ROeCNgMtvPvsNL+9+2fqH0W6mqJoTdLqQPqj6bfege1bqK+WNYEBEtWyR0d5UzqwLBbhm5TVkbO1gPHqmU5EUYrkYqiRxiF47u757vbldSJLR1IB5LEH7k8DlZ5QK9TYfqVRVYfM/4OVrxHmFqjmi3pJIB9i2+l7zmkUUP/36ZT6REP4Xf0DJbyfD72eY2xvgqNsGeFa1rqI71UW1Pi/sz/aTkWBWJssyzaIWR3QRgby+ONmBaU7NkVWzZushgOvVCEemM0IV76PfU6mqokbxy+dQ0DjbW8/RI4+m3F/Oy+WLOCaVhkknmfsboGxq6QQqCiqN7giKptGtKGhr/kxclgl5IxYwdQ0FelOqBP1b0zQOqzvMpBiDqOV8cOOD7NcyfBDwo0qKUHx2+RgXHTfkWIZZNaZZilqRv66/nzaXC7/LC76o9QwOypgODrYpw6g/u2QXNx96M/Nr5rOmYw1Ln1nKLz7+hWN8GVTyqDdK1Bvl2R3PksqnzH66O/t3srN/J/hLyUgSe/RnvK8wVEHxxZ0vOsZcT7pHAOpsTHgDqR4BTCsmUukpoVtR6JVlyKfYN6Czc9SinjH91zWmzXpN95Ix4j636HMEYLZReSYcZNXK4efa4YCpHVjni3m6tTyVkpvL5l4HiBr2kfk8X7asGrLv17UOPSjSoNPBcnk7MBXfb8z/uUJGKC4Hq7hswnIA9tnAaI0SoKZQIFAsivHQ8gVFSUJW3Hh0h+Wvqd38/OOfk1fzPL39ad7Z9w5H/v1IWhItHFl/JDXBGjNjWtSK/OaLm/FWC+qg12s5wKkKHQSmeoadowtpUeZSrljzeYXbCta9pRT4dlgl1r8X0IMymgqtlvp1e9LKmCqSwqyqWaI13MIfkisVgaHeKostUBY+uCuVULNogXIe6f6MbW43e5Mtjv+H1SLrfNY4TxRS4C+DyXrbO5cfRi6Ahvkcl36ZY5M3cuXARwSlNKNGjuLRi+YhVwgHXpMkmt0uXlv/MI9semT4H2R7tupK/JAX13awiFunIpsskxIpSaVkc3w/F2ygVltWVQPQNDNjmiikOHnNhaQlic99XhRjTHqCtCRaqAvVMVnxkFM0WpL7LGAqWz1m0VSRTVPzZGQJvx4k9CseErJsUv8zhQwc+JQ8cFlNFd+rqSLrL2VOXuOwbIFe3fHucLl4Q86yPCzu3Ravhx19O0QgbBhar6rmeTYc4hdb/gzAzGwWTZJI57OwUcxNDkEs/Rrc6b6Xa9zPclbicR44bza/PH0aPrfMGKmVS788D2yZR5+sokia2d96sOWKOVM0qSLkZb/O5GoIN1BSLHJ1dxenxpOguCj1lhKQvRyeSvNGcysXTD5k2GP2Dew36eMnj6gdosOiyUbLFqfuQrKQhucv5YjVP+Hbr33bCRiHuX45PcBYnRGiXwcDsg+kdvFgtISXUvvMZIo9YzpEU6Vnl2hLlBrKDgPLb87IMn1sd2RMAX59xnQev2Q+AKpRYxpwBhA2dW8yExH7YvvQ/jibWZJIGvhsfTspFpFQkQEl3Ue17lPEc5Y/8rOXNqNpGmfet4pXN7YJtWObYvLIMj/d6W6m/XUaq5o/NDUO0pLMJq+HSTlxnVOSwufeEApDr/VVS8aby1NRKpjA1DOoz7A70cqttqCaViyawF3VNLIUMTwer+Qiw+CMqZj3A5r13KuKh3JV5YREknEHFpmf54xA8v/mjKlJkd2qO+UbVyBJEiXer1By0iMj5baeUZNKJzloa9sTllhRIpcgX8zjlt3UBK0oV04VPbFShZQJSAdTedtsi9XiVJqoWmT7wG4S+QRBd5BELmECUoPy2Wz7bqMm1jBDiMSreE3Bmr98+Ree3fGsRTvWJ+iOVAflmqhRNGzXwPCg0XDKtvdtN3+H4bzblYt/ufqXvLDzhSH737LqFp7XqXE7+3cO+f//xIwJaULpBLb2biWpZxbt13SwudpEZHlHz8FVcg2znxd9ewEY53I60W3JNt7eLyL2j25+lME2OCrnOKZuH7Z8SAUuJuTzw7eOMIIgLo/Za3d6xXTHJnIhx5JEkirVOblU+isp9ZaypXcLN35wo20HA5jmzd+YKWQc52CnInUO+t17BvbQryj8M+B3ZEz7kjkkl9PxNmpMF6TTZn2HS3aZz/VoXXDBPr7kXEYHplaNqVfNg8vLvZ4x/CRmLXpRe2+3SB3ICjOrZpq1swD7U+1c865QGo64fBwVbGBSLs/30xp0bhELkq2/pCGo1GnL7n//7e+zP9lKbUHljHSBFR6VuCzj1YqQGeAQRcwpSV2YLKMvTh2aBRIyhQxZNWuqJgPCYRp1BDSdDN3bqCqodLpEFVVWknDbsi4s+wNcvxMmHMt3pn4HgC3FFG5N48RRx/FuZ4Lnu1N8eyBOl0tErvOSRNRXLiikhRwoTlVHgOnjTwbgew3HAsJBMezj1o/NYI9P01Bl2QSLAXeARSMW4ZJc3LPkHscx3ToAVos5Pm37lDt2PMVbwQABdxBkWaiKwhBgGnY734PQBzDaxNgtqNeHehUvz+54lh/88wdDtol4I0wqnwTAxu6Njih1MpeE6WfzbOUITqeNtkTbsEGrhzc9bJYKgB4M8EVEMCGfhlQPeQncgQoqXUE+8/tYOGoEHeluWvX6m2hR1YFp2nkPhslE9cfFXF0SHU2FWqQt2cZnPi9bPG5IiGfyD6VRft89fD19djhVXlvGNFvI0kORSleQ+WNPZOMFG3mqtYO56Sxf9u9E0zTOf/V8Hlivq3DH2mDTs8N+l90G9N9drd9DewuJdKcAd7t12mkuFxeZz1Alo3S6YNF2b/4w8mSeammnEpeo2W35XM+Yeqiy1dv3Z/tZ2bySWz++latXXm1m7peNXQaIYFhOzbG1dytvH3gdT9nHQJEGr3U/k2GdHpaN05vpJTJoGk7oVN4KycpqXLvIGeA54HYT06mN/YWkcL3e+zU8dS40r6HPxtKZUDrBDDKmAqXkq0TGuNWmMpzLHlx7ICXL7CTHnWWlnDmidkhow2BBAVQqAeJqFvylFjA1/KLRR+HVslxfVcGnfh87jvo5tUsu58jxFbSm2pisBw0PuFz8cP3vuXPNnbD6QejeCT8rgU69NCVhgSJZlkTG1OWnbxiBvBY9+PDf7kd43CMC7My/zGR6ttiCExu8Ht0fE2eYjLUQUge4u7SE79RWs01npxjAtD5YzyJZAI/3m9+z2h9pmgCkfj2wnE+i5TM6lVfMxQHFy263xaTJ5lNwYLVZL77f5Sbj8eMddQRVE092nFOZJnG1FiVYLPJ6KISGxt7YXlY97AyQAnTmnGvpaXExRgawaXzYFJ0B2PEmyxTxvCpqBr9HYfm8kUT9Hi5Q3iAS2wEbnjI39+vXZXDbMcNyao7uhAFMPezS675HNxwOipfzYnGWxxMgi56y06pmmgmMcn+IC/tj/KH2WEpsZRSf+dzm+O1wudAKGZ7Y8gSSope26AmNAkVHxjRWSJkCPNv6tjmB5jMXiW1ylmhgVgeU1boGzFNbnxoKMre9Rl+PqFEvqnmz/EqRFPN+D9FG6RXJhyGMFt0MYCppGj1q+xDhnQmjevjlxgt5YP0DXPfl/YBVP2/Ypp5NxPT1JZ6P09+3m5v9K8Rx7d9bLFDUikLkK95OmVrEpWl0JFv40fFiLRtfFaK5L83n+/q48sm1Q9ovjSjzmIKlj294yOwv+3okQpwiF8bFc/jXaJhL60to8Yv5xn5eVxxtBZ6LWo6MayveqpfxecSz05HsQMtnINnF07Z61lQuxrLpgjq+YHQZea2IV4eGXtlNbtCMZQBTr2oB07THT16ScFfNYmv6GL49oLf61OvX/1dnTA1paKMY306tOagZ/ats2Ssj82TYY20fmq/XdKzh2R3P0pvppTZkZUxXfPkoHToVsMQjnFY7MG1LtjkolscmU2ax9K2H30pTWRPru9bzvbe+R76YNyN5dtpaVaCKh47+w5BTiOeHLmoft34MiAHZm+nlrb1v0ahqjnYM8kFuXywbwy27UTWV9V0is2VkgQfX5Axnz+14btjPv66i73CWVtN4ZA9NZU1s69tmOl5flTE1aq/ebX5v+CbT2QHa9P5zDlEio65BX/SMdgR7B/Y6Msaft3/uOJ4xYbpkF6Mio4Zcq0KxwKrWVRyu6LnS4YCpmTH1osgKz5/8PHcefadzm+7t3NjdzZ9b2x2RSkmSmFBmqUiatXVGFsomXtWd7ubVPa+a276460Xr8IOow9fPvFKcv9vtyJj2p/ImmDQsrV/Hq3oHOH3sKebnRuSwUXei9tqyQlomjlYIIrnENrlYC+50H2T6iTQcSonhEOEMrFAiAJVbdrOgdgGKplGfL/CiFjPHT8QVIOot4emWNhqTA0MoRwDujU8TVot0DKKdH14+nYXpND/2NpoqyTJAZoAHveMZm8vRpUcee9UM43I5fLYxlVWzorbOTk9VswKcnfVXAKpUlW5F4YGKatKyjMcm9IQsm2JB186+lnpFALMjU2lK/GVQfwj07KBCVclLEgfmXwJANFyvA9P0sMC0rnoaK896l28f8zvAmjenVUwjX8ybAa+4LJNDMlvSAPxxyR9Z++21HDXiKMcxFT07XmhdS7OtpctIg+VhqOF6Qo79JGmoM/XSaS9x/uTzh3we0vedVTWL5ZOWC/Cx723uW2fVxEU8Ea6YIdR025Jt5vgGncHgi9A5/2IKFHlh5wsHpYcZY2P5pOXEcjFSBq0vGxPAVHbjUbxUuqzz6c72mkC3gGRReUus3r3GmLdToQfaRFDI7wlQJ7lpyfRyUW0136yvhS7x7KckSfS1HcZyuhO1tnMtT20VDqu9lr0j1YEqQcWgIMDkXI6BYpaWeDNbe7ewun016UKadR//TjiJw7SrsdvGVhGVr9DZNFmbAnFan/v2pdp4fMvjZHMJIWIUqiYQGeEAmwC1kZGUF4tUyB6RMW3+nCIgK27qcDloXs/vsOqBvYqXx058jJk6C8CjCEXuD1usNfu902Os+/hX5vuT8zsoyi62xffzzt63KCtYwM5fLNKriixKOdY8mM/uHXL+A7a61etHNKLu/UAExZ+9mP5ixux7PLViqoNSaJTu7B7YjV8XDcsmD17ykpBlisNQ3A2zz4m17hDxYg4CZVA/G8rHC+EkgJnnAJg+QH76MRCuIZaLkcgnmKvT+zoCViC/8Or1sFE40+bfQXWC5DNQMZ6+oEVlLBESb+zXwd982aa3MHaJ6ao228DheXU1kE+ZWdZEUfwe4zqvGjkXGuajeUtoTbRSF6qjVvEzCS9vb3oUdust6YzMqdFaLJ8mX0hRlCTzPgQUL3HbeMok2qFlDR3VwvcLaUUyihufy0dVxDZ+gRmqTGD3SuqVILvc1tx4qScBj55Cd7rbDO632PyFhnADi7yj8RYh5dokMtngUHQGYM1frNe2+TvgVeiXdbAds+a1gCR8gIFSa+23W76YpzsutqkIe9ndu42aQoHguKXwk3YYMVdsqM/z9y29jx/19pmfXdfXz9GrHmKCLVD/qc9ZT/l5z0Z+ufqXTJv5GmfPaTATItmB/eRtvlW8kOE7tRaAcwDGzS+QU3Mc/uTh/PqzX4v980lkTaNiQJzvb9f81vyfaU9+y8zKFdUc96wTQVNZkglsFHoyqdigucxodXOQ7hT5omBv1BcKZP0pLj/ayRba3LOZfbF93L3ubvMzyQZM51TPYVf/Lrr7d5uf7Xe7mFoX4bOfHONg0mhqnmwxj0cDkp3IQFVBpSPZzvcXjeXYydWomsaGZvFc10R8jmwpQHmgiKrrbigdlhDbiqCfMaERLEgLf8goySoJ7ebNa47ipe/OYKls92P1GlOtwJrcr/CUf0i+4acciB/gmGeO4eEvhuKPvt6dHLr5F+z9+VGMrw6T1Yq4DSqv4qZPwuzaAODXx4ySt9beRwIuehWFkNfLdxdO4uJ+MX5MFsb/5oypabpwBwdpdOswo1awbAxHpsQgsWcQAN5L7DbFf+76QlA4i1rRQeVtyfZy0Rsi4mNmTG1UXg3NFMOp9FeyIJ3hgoEYv5pxNcc3Hm86fxu7N5r1n3bq7oPHPkhNsIZ5JcNPPnbzyB4zWxfPxVl5YCXxfJxrEgUHeXQ4p1DTNNpT7aZIzNoOEX2KeCIE3UHaU+1D9jmY2fsnwtC2Pf83ZtTqTSybSG+m18yUtiZa+euXf+WtfW+Z76/855X85MOfkNQBWbyQHLZw/qI3LuLYZ4+lqBWHVcsdj/j9k8om4ZJc7I+LvpuG6vLd6+52gG1jkn3t9NeoC9bRm+11OL4buzcSy8U4UtIn+OGAaVy/vjqFYVzpODNTZFr7BjxAUNOGPOPVAWtyvOqfokVPXpLZ5PGgZZNmhNIuzOR3+U3KnaZpdOXj1Nio7ReMP5PqQkEHptZC0pfKMd3nFP1oTlrZtqsp43vTv2cGR0AAsaDsMWvxXJqGlkugZkag+JtZ3baabKbPahsydrGgAAIRyY3L/mU2h/+KmVdw65TvUVMoOGoawoofdPqWPdLvsE/v59hUCr+tH6JbdnP/1O9zeDqDp2Ii39Unyn1uN6T78ebTjMkX2KtI5NU8PVqOGZkcN0hWTU5GzQwDTPNiftKdraqCSkGSeCwqnKj0qEOH/41AQF/4vpFIitrR+tkA1Ov3amNYOC0lhuR/sQCVE4ccB6A8UGGO/8nlQpnwgikXmK8BehSZdvLUBeuGPYbdXHrGtLD1ZbZ/8bD5+XG64JNZ2+kdmiF96qSnePOMN//ldxiZ7RJvCXWhOjJqhmtWXsO9661+jD7FR3VQXKfVbavZH9/PGeNFCUdPpoe+TJ/5LD6/83nztUceCuDBujbzt97LJz6vqDNN9ZBTXLgVN5W29jWJXNIsYUjIsgB2+RRE6m1H1GmvNnG6fn0VDbgC1LtCtKo2Z+mT+1DB0UN3sGXVLBSLfPu1b/PfnwrxKHtWwQjeVXptPYB9UTPYsnbV7WTULDv7tnPeq+dxfvvrJCQJ9n180O/c0rOFO7c/IY7r15Wubd+ZsWVsf7X6V6zt2ybGdFDUSo5yjmQiYXGNKjWZLo8X+vZQlCQU2YXLG2GEnsHxaBoftHxg7rd01FJmVFq0fIPKawem3revY1vQWouzFPkwUsqZnW/TmemmzBa0bMJLu5TBS45yzXKGOrq3irphm9mB6VvuIr8oLxN3t28P/WqWRr1n67SKaSYgun/9/Q7BF6NvZK7H1kN4kCUkiYLiOuj/7cC0xhWmTVK5W0lS0FT43rtwzM/0DUfw0Ph7zbm1LdnGnWvu5IinRKZvSlYXRqy1Wjv0KAq0rKFLkblkx9/ojbU459H2TbDjDZAV+m3U5HE6mc8ugGRauGYI7de0fNpUKU/q17dMZ8l8WD6CD4+/mZNfOp1kPkl9qB5cPo4pKKzPdlu13gY1Vq+bJZcirYNWC5g6gVWmdxcUMnQ0ibKGsAZZxPNkX1MBJsR7IdnFyKiztApga/NHHL3iaI55+hgAWrPW+j+1fCpuT4jGrEzO8yXLq8v40O9zBoBirVbmF0yNABD1fSPC+nUzNBaAX50sQFN+qlXy4Ti3gsiYelwyYa+L3Ylm0SqmbKxYh4I6LVMPmLhlN8pJd8G5z1hsK2CCZm8nIhG1iTd+oAczewo7uP3M6WaZUE6SKCQ6GJfLUVUoEMvF2GCjndt9wj5ZNnvAP7n1SbF/PoVX04ja9DQcPqjZ41hcl/6CBfgUScbfLEBXumeQ7kbvLv4WCXNS74cMZ/liAbemMTZfoNWVY2HE6TsMJx6q2IDpoZFxFLUib9vmqv1uF6qiUBHyODK1WTVDu5oyy4YAqtUCHSnxnXVRP12xLE+u3g9oPJa/ho4PnYy9Uk8SVfcdXek+bisr5cQRtWzyuvnm+DNRwBHcezTiRup7h8mrruFBz++oxUknL+CkZhtJt/dbVw1hbAx89idSX/yFx1+/gkKxQJYiXsmoMXVTkCQueP0CS+emMkh91E9RHxs/nnUNMf2xdksurlg8zgyepdWMKKP535wxNc2I3H4FPcY0w0EI1/D7ji4+2neAsZHRyJLMeQPWw3fTAlHfY6em2oEpWLRSI1Nqz5ga9oNZP+CFZc/iBqbk8nyjRvDU7VmJC1+/EMBR02UIKkm5JL/q7GZRcvhIz5zqOcypsZTV4vk47ze/T1Wgimk558NmZLFOeeEUrvrnVahFldf2vEZ7sp2qQBWlvlIzG6vICnWhOpMibLeDtc+xOwzw/02hN6NmhtS5KZJCqpDijs/v4NqV1wJw+duXs/LASl7c9SJbFajSB/sQQSDbZ5+0fUI8F6eprIknR58t/inJlKsqUW+UUl8pI8Ij2NW/i/5sP9WBai6ZdglrOtbwabsFzDb3bMan+KgJ1lDuL2dD1wYW/n0hT259kn/s/Afv7HsHRVI4VFdAHFZqXhdgGC7TZVr7Ruv1oD6JUZvzaUSp3i7GWF5fw/f3/N1sD2Gn+k0pn8KugV1ommgin9YKJpUHgEKW0fk8Oz3OjGlfMksq4hRc2BkXC6bPFUB+6xbqZF0IQw8MhIoalUXJBASvH2hFyiZQE4KyctW7VxHT8pQYlN2RC5BLG3EjUTp4urEB03Gl4zh57lVUuZy9vLwurwVMD9ajL5fkZ929rCpbxAvNwonPF/OwUs+yVExgYSrNt2JxLhtIiLq/XIJT4wk6XAp3r/0jfVqeclXl9IxqHiOn5sgUMnhtzoVQyrXurUHHjqm6Cvd8Yb6OAAAgAElEQVRXCDwEPRGCkpuj0hnROkIHpuN0evTnBTF5l0w8EX60F37SYWZJvsoOqTqEd856h+Maj+OExhPMz7d6PBTQGBkZ+RV7CzPFjySJ7bYauCWjlogXenYbd2Dwrkwpn+JgnxzMxpWKsZ8qpBxlFKNLRpuvixTxKB4q/BW8tPslAC6edjESEgfiBzjq70eZ5QdtyTZe2f0KiqQ45syjG442X1fZFIXfDgbMjGlMFqrrDTYaZX8+bgLTuCzBwAGelzIcLrVYfU/1BTcXs66RoWLqd/mp9VVwwF7Tk40f3Ik3NikWYNMz5vt0PuUY35/qtORKn03I5Ie7Gb/4F7g0jZ+1rwSgN9tvzoldLgX2H7z+1F5CURPW26HkE1BUGdj5Nk/2O9unxNW0qBXVe+WO0rMv811RHj3hUeRyIbrSEB5BqyzxQDTCW8EAbsUL3jA1et3VzEGiHd8Y8w3He4/ioTvdzfqu9TQW9cybVmCXx01D0bqOj4esgIK9jGdkdAz7XS7GSq1EbcC0PdFKdUHFZQte2TPYh4ZG8WwkxJvVAqwMSHCYp5Ib5t3A8aOtwPOzO541112AWn8liqaR2/mmoMzueBve/jnpjJWtTcoyKVv94HU9TnpoaOo3AZHtLdGgT5Z4IL2HD5o/YFe6k+s+uMEMVHSXzaZLFUCkPdnuqCMdm8vjKWrEolZgfmXAD/s/4W+RCJ/6fTz3/s1OYPr+b8Tf/gP0lVtArUot4JJkuhTFoWYOQLhmSO9m0/Ipkvq5xvRtjLY4X3SuZsW2FWZQ0wCmS9uFT/bO4mth3FIbMLWovOn3RZbNrweggnrSoE72ElaLPNLzOf9RXcmfdLp8sHoaGTWD3+V3zAEAh6YzUDWZCSOdrBGAs+rFPJYupNkf228qT4OYp2RvmMOy/eDqY5NHEdfXdq9Z+7gzYG1bb289ZQqLR7pY4/VyQXoL93z0czZ/fCc3r/wWSUkicxAqb08qSetAhpqIDw2NPbl+Rss+i8US0DPd9lrXOd+B8UsdwPSUZI5zBuLUSwJYLrYlSVbqmhHpQhpN08jrfnVOgoJWIFDUqFJV2mxAPaqqpG3+y60VZSYd1at4YfdKEltfxK9ppjo+DGL6pXRBUX0O7bcxZJQ3byJQIgTAUrFBfmvPLn5dXso+LTNEyA8grxVwazAml2evS6Fw/+Gw0Zpjh2tHJoetNWzBeyKBtb5fzKeSpvHjygrmyAcEG8cWxOtNddJXzFFrY5FUF1Q6Ul3QvZNvtt7OuNwWPtzZjZ8so9W9jHrvavzVr5nbh+S4SZ+WNY13gn4OuN34i0WWTTyTnOTDbU+iyDJnfnqzyTIYWbfN0SKzqDmviRFMKxTS5rg0bHWuh/mNDfyqfy1rX/o++XQf3qLR/9QKQhhCqOfNH8n7PzyarN6WcHrtfE5yibXJrebwuhQTmGbUjGA+pIeWxX2V/XsB03gbvPYjiw6ZGfrwDDEDVAXKcQORokZYdrH+m+9zakIMmqZ8kcUjF5tZU8PszhFYNa5fBUzrgnVE7JlEPWPrGxTBAxgbtZT6DPEhsnG+kUyxJDWUG//8yc/zp6V/Ynb1bMfnHzR/wJH1RyKpzoctlhVc/t0Du3n3wLv89KOf8lHrRwCcP/l8h2KmjEx9sH5Y6qzdCbLbrOpZjveJXIJ/7PwHm7o3Dbv9V1m6kMbv8pu1OgBjholY2utmCxJMzuZQEIJJA9kBVrWusuoddYf2qn9eRUeqg9nVs5maSgmKTaQeKZ/ishmXcdq402gqb2Jzz2YGsgNEvVHOmnAWJd4SXtolnN+B7AArm1eysGGh49gAt316Gz/96Kf8dfNfmVszl4gxPwyuDSsW4YAOTI2ASfPnQ5/jLhstahAwvXjaxZzQeAIzKmcwIiyAW6vuFn+U3D+sCuXUiqkMZAfoTnebk0eDLXqHmmVWJstWj5t+m6L0lv71tPqcz9QOHZT4Tvg15JOUNwtwbKhcB4tFqjJWwCdYLCLlEqjpRsb015DMJ2lW00SNLIAkQWkjXk2oyDqsxEmxAlhCiDOwjTtZAffQsWVaJmZF47q2MVoH5EuTKdirRzsrJuACftLTx4TauYJW0rOTo9IZTo8neOTLP1MEylUV2jZQpy8w6UKavkQbvh1vC/l2EPONbbIeTGn8KuXBb078Jv8594f4Tr5HgFIdmI4oFPAqXlbpYmhRb1Q4ZV913oPMcL7ObTqX2464jSolwEZd6XMwg2Q4c+ngPy9J7HApNBaK3OIZZc2BUR3cHixr/TWsPiSyaplCxhEUtAerDMq+8Zsnlk6kIdxAub+cx7c8bm43vnQ8IXeILb1bGF0ymrMnns25Tefy+6N/z6+O/BXPn/w8jxz3CFV+yyktIJHc9Q4PZ1vokkTQaolvBN+MieDd7lwf7zULQbmkLKPF2/lTQCJGgff0bPZml8iwZ9stZdUBPXDhd/mpD9uzq8Dlq0gdct5XXpdcMU9qwwrzfW/3VlKJDmoKBSYV4DNdXK/C7mDLCp4xi5iTyZi97ezWoyhfmTHN26inNfpcF88OoL17G2evvHLYfezAtFEHyfVKgEOqDoFoA1z5BeNmXEhBgrtLRYCtKlgN3jBhfezX2ualYxuWcHjd4Y7v8CpeilqRolbk+AExrg+4XfQWUkzTrIDQKtsSHHKHODKVZm46w6jyyXS7FKJyD1G1TzjmdYfQoeWoVlUHC2jAJtR148wrcWka20prSVdOJCvLlHpKOLfpXPwuvynCArCn36K6VwWqUCWJB6Ml5F/8D3j8DPjwd6x6yDqvnR43CVs96qKT7necs1+/puFikZCtfMklu3h6+9O8ue9N/rZZqI+25D9A9Qonb7A+w4hT/0TE5Sfms+jp/1VRBrkEeSOjoeYtVg/A1lfE31Q33XWWFoIvnyHqifCXaIS5jYPmj0A5KXvPeW8Zk/BSpqqQT5mOr/HX6MNYpMi7B94196sL1YHLy5h8gTFFmbcTu3k94CeZ7mGd18NKA1Pl02YPal+Z8BkClYIJMb5sspltW+33sT22x7x2GTWDV/E6gOnKfc3Mzmbh6B9Tr6+v9qSC3b7x/DdI2BhGtaFaXLLGxQMD3NfeSVM2x98jYTYlLEDArnfMeR0Qmgi6kz59RJSeYicX1lXzhZzn/p3P8MsN9/GF18WCxgbuOGDLtAJPt+s9ruMp9nQnGF0RpDXRSoYiY322ucD4Pn+UIWY7t6b2rdzY20dGv3WHTjiN3/lEQGlPWszr+WKe7X3beS4uAFm74mKv241f0zg8leELt9jZXywSk2XS3VZge7vHzW5be6nkl8/RLctUFlQrUI2z3SJ9e+mXZTML22cT9ZH3fYQ72YlL00gP7tfca1Fsh8t+5ooF3GiMzefJSxLNLhdsexUSXax75UrWda4dct+VoCUINCZnBSwjqopme97fa36Poi1junujYJ7UKFZP4GpVpT3Zzvkvnsna1Ds8772FCcE0l8yzgouuMku81C/HSelgucul0KkzFaZmc0S8JXi0jCkiZ1gRoVatAbtLX+OBDQ9gUHlVzZlsMhIahUKGDj0IMDVQR1M2x+9SVtInvfVFsrKEWxdEswPTzngbvHAF0t4PUGSJjL4G+lw+SkeJ+U7Rwb2MeEbS+TT4S/6XU3nj7fDp/WDU9hkTaD4NG54eXgLdAKZBWzQ5nwa1QHVBxa9pXNLbg5TuY1L5JNM5AkHJtWtILhqxCBhK5bUPpMpApbPnk/79lYMUvQCHoIu5IOriMg15JyAYXzqecaXjcCtuplY425DkijmhXDqoxUksF+P8V61arpd3v8yGrg0saljEpLJJjuybLMnUhepoTbQOqRW11wkYFLVSbymXTb/Msd3++H5++tFPWf7KcutDTYNnv8vAtlfZ3LOZg1kyn8SreB1gf1yJk/c/XBuJcFFjrLeMtZ1rOeKpI7j0rUtNlWNN05hfM9/MCIU9YdFGoGyMmCBySc5tOpdjG49lSvkUOlId7BrYRdQbxaN4mFM9x2zZYwC+xQ2itceksknDnse1s6+1IqLZQRNizw5rAKp5UT/60BJ46JihBzIGfC4pAO3ax6GQpcxXxq8X/praYK0ZMOhVs/iLRd6rOoGrZ13N+KDT+Z1SIfqivtf8nlm/ZVDnot4ovH4jczNCTdCIaAKs6X+BQEFmdtoC2BuSzZQXVKJ1h4AvSllOPOtGL+GQVqTC5lwGNA1fWgQ7fpMQtPECmtncHIBwHR6tSOkg5T8iQ4Hpcd4qfpbzct+Rv+GGnl6xsLpsAE1SnDs8erKlzNexCRn4YF8zv6o91trGlglgtB4ljwun7kc9fXj0sVmuAZpqUuWe3PIE7bl+jkkkrJoWNWvRs6acbmZMZ1XN4swJZ3LLYbcMOSfDlo1dxhlN34JDzhWAOywCY0qgnO9O+y6JfAJZkq0g1v/A3IqbZWOXUe4K0KUvbl8HmLr1wNpNleXEFZnz+/s5s8zGmDj8BzDyMJh+9v/4t82smsmZE87kxvk3OoKCV8y8wqTiNukN4o3ffHi9WPBuP/J2rp9zvTmnlXpLmaf3ip1QOoHFIxdzw7wbWDxyMQF3gHGl45hbM5eqoA2YltTxzIaHuMubp4BQq1aW3MQPD/sZAPemrKCYKkl0KDIzM2JsfBgKccClcHZlmDs+v8PZ8zNciYKEW3bTWOqkXhcjdVyiirEzOBD67MlCoCirZtlpq3fv7dxIS2wf5arKwrgV1KoID8pKV0zkZ4nhWQQ9sgxdW8yMxGAb6LTazITLRAA10b6O99bcR4t7eEfdo2kmpXuUPuf67M5d+VjGlTvPP+gOgq+EoB6oss8Lp+38xFmO0rEZ714RWPVICvP1a79eD7A0+QXVLjwoCCx5Qtx7xss8cvqLJj3T6+kkovYJ6vHohbS5FKpx0WBjD+yznWftqIVU+8poqZ7EwGhBjY3aFKePqD+C2464DRAZJMOqbEyBTR1r2Opxc3tZlLekFBF9bvh7JMzDze+Y24UbnHR/A/QGihqRpHW/8sW8WQby6p5X0TSNDUkr62MXoAMITDmdSLiOWCFFjX6dZQT5vKBfZ0XTINHBWq+Hb4yo5bTacq6qqiAPfNFtBVs8+TQltkD+eu8UbqooY96oERxItJpAEaA2OoYFJeNJSRJaqpc2XRBpwMyYykwJN9JU1uT4vXWhOvP5nF82hdXtn/Gf8XX8oaqW8+tquDKns9ve/rnJOvCHxBgK6ABgXHQsE/JiXXnEN5mXTn2JI+qPIJVPkS1k8bqcwNSnaTDhBJh0EieMPoHrZl83xM+xW9zGEqsOVKNkBygpahyRzpDXyx8ejuvgrJCD1rXQsADtm39jld9HYe8H8MaPYUAEfDdknLXIXSXOcjK7yXpXge5Uij1dSUZXBNmtl+w4gvqzL4QLXoLJpw49Afv4dHng+NsJ6QmLmaOOJjTlTPPfx+mJHHvd5R6Pmz5Z5tL+AU5LJJD0tbExX6AoSfS0i8D10mSKVpeLHTYfcEe2j06XQqWqUuK3/HMpG6dQLPDXL/9Kumc759RZFNp9tprlpCTD1lfxFzVS9pKndJ+FERi+nWBeU/Fomgkwd3nc0L0DPr2f87tXsqnnS8YFR1Bi80dlxcftnd2My+UI2EpDXm52BoDKPVEytoypUbpXJ3ugTqggVxdUchKsU1T+ERLP6pPnjGZezfBzq5rrJ6G36ttsa9NkBvhnnmcC0wvHiPvcqPc2TUsSGT2gYLTCKWiDqLw6rTivZlmnB1l/OfZsrul1ZjJjpaPIIZnlV3Zg2vHlClj3GHx8DyR7yOgClF7FSzDaCEAuavl0fk0T2CJY5QyGfQ379wKmhu3RMx3GybzzC3juEti9UrzPZ6BFAAozMxWwA9MUFPNEi0U+8kzl2FQaurZy62G38vBxD3Pt7Gu5Yd4NKLJCtWQ9BJfPvJzjGo+jISScIgNE2Ru8V/grnGlp/fsNAZLzms5j2ZhlLBm5hNNGWP0LTdPpyfaM1oPHPshDxz5kvp9bM5dzJp3Df875TwBckkso+qo58EX5Y7uY3N7e9zabepzZy32xfWa2z8hOVvorTSpvIp8glovxxt43zH3sGVODpnTZjMtwK24m2Aryd/QNU0eT6iW3cQWXvXc1F75+4bACSQPZAVa3rWZaxTSHwrI9owzw4w9+PGRfr1akKZ1kna7UBtClUwgGsgOMioxiTrWg8flcPhFJKxsN3pCDCm7UmnWnu83fMLViKi2JFlL5lCl0ZLS/sNfq2W1i2UQbMB1ENdfrIRh1hLhXRsF+9/ahQZVaPTqdi4so6z8uF/1KdQu6gyZ1ultNU6YWKVPzXDztYg5p2+o41NSwWKR+/vHP+fOXQtbeAEyVih+2vWq2U1q3500ueuMi3m9+n7b8Gg4ZiHJ1Xz8VSsCs3zklkcDtLQFfhHIdTBpU3mCkwcwS+otFZGBC15ts8V7I+HxeRM0RNB/TwjXU5POMTA+qGS8ZlF0C0W8y0ckR/V2cG0sMBaa1VlSfdL9wBMz3YlxGT7kPz/G32Y5piyQ3Hmm9lt0ENI1Xjr6X72ZdHFl3BLiD5qTYme5idq7I8ckUvH6DoOolu0R2COD0P1H+g81MKpvE8knLueXQWxzj5WvZlV/A9z/m0hmX8uaZb/K3E/7mYBX8T61Ev5deyTWEyjacKS4n9XxiLuesrYzUwUWvQeRfU3YPZm7ZzS2H3sKYkjEONkdDuIE156/hpVNfYumopQBmC6ElIwWVeF7tPC6YcgHXz7keEJnp5U3LKfWWDhFysptdNThVOYFXvLaeut4o+CJ4Z1/oqE82ank+83tNh/gLjyKykMC6jjW0xiwlzt1qAr87iCRJzBm50PH9p/7jVPbo1MVLp1/KzYfezA3zbmDFSSvw6yqZuXgr2yXLkXhsz8usH9jF3HSWRTqzJqwW8Q0OWMgydTO+Pex5X19dyYAswX2Hsa1n65A2DX22Wq6QDpTie9/nwxLns/dFzGPRumxz2Cj9OfdJzudmdGQ0LlsgV9M0WHwTIf0Y9txutHuQqvzfTsWjr+t1kpeIDq7We4VzNPcwsR5eNO27jt00lweqJkFVE6P0gKLs6SZc6IVQJQMNc+h0uRjjiXLPknuoClQhIfFZRDyDTWVN+Fw+yiMNvLr/LZ7wiO8dF7FYM5IkcdKYk4b07a0KWY7YZq+HWyrKeKwkwiuhIIvC1vq2PmadqynyqJsx7ypohGzCRMl80hTjMlhRvTmL8TQYmILwWWLZGBmdBlsEemWZvH7l0317UNf+jf8uLyMlyYTcId4NBtjlcfNZu6Ua3Vw1wbFWr6idzgvhEGlZ5sTnT3TQAWsjIwm4A2Rkmc6BvWY99UCgBKomk5BlQu4AxzZawcJrZl8jjq87t5UlVsAg3Whlm7XRR0LHJrOVinGtjL/jy5v4XUc3V/b2M3nkQhpLGinzlRHPxckVc/gUH2W+MjM75tE0OOcpkEQg6cKpF3LBlAtYPmm5eUy7rY9b2fEyXxmyTQzpliNEPfiGQozlTx/HOU8eyVqlyPOeIi+4VS6tqeLvkRB8ci/cORlavqBjUHurmC3Z4LFl86+bfR1enaK7t6efZE5lTGWQ3Z26fkmlLXkhSSLgOlzJgBG0nXEOXPMlLLiM3y+9j+vnXE9NsIag7Vk8Ue+VuvLASgAmZXNMyWb5Q0c3czNZ6gsqC3Q1+zF6CURzlwCiszMZCpLE+r7tzNIDSttzvXQrApi6G+aZ3yN3bePBDQ9yx+d3cMuOJzjgdhN0BThrwll8aQNlkWIRinmq1QJtqQ6TefbY2vs5bKQ17mJ6giBTyJgU3YKaxa1pjDnqBgCurq7kV/kWnttssW5KOrfy5C7Ll1IUNycmUzzf0o587C+4p6Obs2NxSotFrptqzTnubIx1suXfPFESprygMh0fjBC+6Lx0hgXpNCclkmz1uIlLEuXFPo4YObwIWibdT8I4D9vY8hrj4tR78Oh9jc+YfjFHaV78+Qwa8GZQBLZ29u0Azdlm0rBOvUa3oOb5JBiiNljLqGA9CzJZpkp+5uvJidih3zd7fANEbetn234dl7n90LPTZCr4XD5z7Ni1EYrAiu0r6C2pRWtbx5fPXfC1a03/PYGpQQ/IxYXzbzj4qR4RYbutFh5cLArNDX75kIypXghuOLKdW6gKVFEfquc7U7/DuU3nAnCBYmU6J5ZN5I6Fd+DWMyJGxtOePav0V0KfrVmuDkyNG+OSXdx25G3cdfRdhNeJAnCvHZPokZ9K3XFf1LCIBbULHAueW3Zz4/wbzcypaKcRFOcabWBROs1JNYeSUTOUeEu4a9FdPL1M9NTS0Ez6miE2YhynLiRqiVZsW8H1711vfp+9Z57RxsVQ0Hxg6QN8cPYH1ARrTIVfu6kDB/ivijI2eb2kC+lhFYaf2/EcGTXD8knLHZRn4/cYZq/3NMyrQVNfixCC0K0mWMO6znX0Zfso8ZZY/UIzA6JVTPlYEahIWrRVe7TWcNSN7EssFzMpmMZ9qPBXDHFCvjPlOyJ7fjBg2rNTAKmqSeK56LdRfAYLedXrNXG5pHU8I9iCaO2RyqfY1L2JV4v9QlCibx8UVZO/3+SKMC2TpW79M0PEX2botVzfbW8GbwnldUK570+Fdj5r/4wr3hHKp4cMlDAzm+O1iuNN5eb6gioK1r1hynMZFElhX2wfiqbhK59oPruq7uw0xNfjl3JIYE5wpXahkUgdD7d18IPeXlj0Y5HR1j8fYsEqIQzx4n+I97LiBKYzbDWXdlB62FVgiEyNXCCosEbtjccmPlU22qqX1Cl0Na4gVw0kCIRrodHZMuDq7k5xlm3rRNNr2QUzxdyB4sYVqeHpZU9z/Ojjh57L17HysaC3v6jwVzC9cvq/2OHrWdQlzrnBW+akTh3EPINqe8fXHWpll/8fmP03GX1iGw3RJ+CE0Sfw7jffHXI9jIzqgfgBFtQu4P1vvT+kTtFu9ozcuvg+tnitcWIPAIwPjeSUeIKH2zp49UArUcnNpz6fSUPcIxfZo0fz5WKRD/u+xKVpzKiYRqFYMOd/OTqKt/a3mOJje2wKxyPCIzhrwlmc23QuTeVN5nlnKbLRazksrw5sJaKqnJxIMjmXo0LxU6GqzjXOOL+xi83MXGRQ+6kV4TDxRDtnvnwWP37/h475qF9niNzW2Y3LG8aviczWp6ESjgxaIMFd2sgom3CReS6VUylVVWoHCbu5FTcjbWBtXHQcNMzlxGAjAEuT1lpTqapWwE7P5IX1eUMpZAjq8+J6n5ewJ8zkkQv54OwPuHj6dzkqMt48TvWYpebrhkrBHil4BggWeiFYxeaAcK4mh0ZSE6zh7sV301jSSFcxy+UzL2fFMkGjnlQq1vk/t7zD4vBYZs5xZtIkSRpSZlMRruOF5laCxSIryqpMJV+AJfOvYTjzDNIfCOh12wFXwAHqE/mEo2WZsWbnY1MIZA91UHkN4BXxRojlYmTUrKlr0eZymYJEsdgBVvl9bPN6+M/ePq6dIObTd2eeSiKf4JZDb8EtuznukEsdwPRF6SPHb347aM0XZb4yM7O7s1P4CI2BGtF/OlJHQpYIuwKMDIvnqsRbwkVThdAkMQFMy2ylMxXV1pjvO/tRmHgCG3zimhlCRkZZVlP1IdSqKt8biCE3iDXO7/KbGaKJpRORJZlKfyWypjFcvsrn8vHj+T/mz8f9ecj/NhZilGgSN8y7QQQdjTX/qnXMnLCMkZpCJ3m2JlvYWExxe3kpNx94hT+u/SMAH5XXwzidMdWzi07VWcJl95d+OuV73LXoLjZesJELp16IPyTG+95esc2YihC7ujcKRlPVNL6WGT7Q1NNN4bqx0bFcMEX0jQ7prMDGXJ7ZeuAH4NauHp5ubeep1g4O04Em5z3L8mnfQdHg5MN/CsArecFyOzIlttHQWJDOECoWeSTfRqfLRWVBhQorYLuWjCl491pyLwDPnvIch9cdjqZP15f0DzBen85G53XhxsfPAuD2HU84FJmNjOl5r54nhMCKKu25GKFAJcEjrjO3ezwS5M6gbd3RNPy2gIhsD86OmMtRY07gp3o9+IXTLua+OSJxEo8d4NJaK9gbUnzc0tOL2+UTNdLAxHyeB9u7OD6RRJMkkbFNtCMNZtnplkl20Lt/qJCTPOow87VbduORPTSEGwh6IqRkiSdGH8JNlWIs5LUCRrorO4g629n1pbnNp64iC2oXILl9SMDjuTD3tYv7GC/myNqA6Qi9xhdgs6SD3XgH9O4ya8+9itdkfdjZl4b2wt8Y4O/hEN+Kf8GqVy4np+a4d50leDic/XsCU7vF2mx9HFV46ybLke/eAU8I4QDTCQWRMTUiRTXTwBMWXH/D1Dx8/gioBc5xVfDSgVbeHvsd6//FIiS7kSSJx098nAeXPsgFk8VADrqDDn47et1npV8AXDPqlo3DJ/fw1v4W3krbWizo1BUJ+OcJT3DHwjsOeuoGcBI0Xv2R0+lcU/2C0nLOpHNYMmoJ46PjzUjsYFqx0T/VAIJ/WOuUjE4VUsRyMW7+6Gb2xXXKpg7KK/wVRH1RZlTOcPQGNOyZHc/xfDjEeF2YaXCLFbWo8tTWp5hTPYeJZRMdjuJwEUq7VaJQWygwOeukJWTUDOe/JijMiqyYWaoyJAEIy8aKNh1Jixoc8oRM8GbUbhoL70B2YAgw5YtHeTU8j5dOfQkJiaA7yLVzhEDTQYFp3x5Ri+f2i99hU94j3e8URNIja2TjVp3pQLN49rq2E8znSBVSZvSyX1Fg/8eQ6sGv12tdmvfyRFsHcueXDqVIgJGFAhv37OeEnhY46Xd4L3qD8CDwWpo9hUqdsuH75C6UPpEVrZM8QljBW4Jvx5vc2x3jlLEn881EBql8LJVFgyamwUgnLc0AplFVtUBksIKQpokATeVEuGI1XLvFErew28IfwvK/W3UzkuystZx7MVTp2exmW1/IivFw6OWC6kmp+cQAACAASURBVOvTHarv/hNOuQdctiilvwyq9WizUVOSS4psqz8KYy3hHIDxtloTDnwCTctMCu6/s5Xo47dhkCLlQbf3Rfmvrh4uiqVZNGIRgQtehJqp/3rH/4dW4R8KxAylc4Ml8X9jXekuZFvOzgjcATy67Gl+0d3LvEyWWlVlbtUsVvt9ulMtnO6bdQegK9PN32PbWJjJc67eFsecy/xRalSVe9q7aAqPcgTiAoOFvXSaVEKSeSsU4qQxJ3F/1wCPtXXzzoEWxufzyMB/qEHOjset59VupaN4qrWdCwZiLET8hu/1DTDCFeKx6gbh0AFvHXiXHY8s4Y09b6BpGtuTrTTk8yzTRfjC3ii7wuXsLcSZ32gBPdx+k91jV491lzby6oFWzgpZANGwcXogd3L5ZC6edjEA00rGsXHPfqblrDKYClWFO6fCR38QQT1giQ5ca7IpQvo8l5ckxkfHI0kSUV8USZK465S/s/rc1dx2xG18b57lUAe8YSoLRbKeOIF8L4Sq2RIT63XTET8Sf8ubeOGUF3jixCfMdR3g6tlXm6+vP+aPwypQG8B0ZqVob1PqK2NsvsCdHV3skVSzVq4h3MBhdYcN2d+wJ058wnxtPDsllU2MOeaX5ufJfJK+TJ/pB+SLeaaWT+W/j7qJM6ZPpdumF2AAtlJvKR2pDjJqxizx+CASFS18gFj9TFqOEoB53twrqdapnP9Ii+D/kpFLWHPeGk4bf5oJmA37tk1MslexGAbpQpqgPt88tPcVFA1m1y4gXUgzcOJv6PSFiEQaTCq7o4+lznQrKx3rOJ5hHckO8AR5KxBghq/apLAubFjIk994kjGltuevRgBaAyQvHbWUxSMFa60qUIVX8SAtsvUHH2SGX2BYpf7cj/KWcW7TucJ3OftxmPVt0LNXRmDlVln4ZV/qASZD62GLPwhnPESfLEOig85BtX92m1Q23hKbA7z6eG/VFeVHVwbZPbBXZCsrho67YW3xT+H422HskmH/HdSfrdn5IiVzrKzgUkOc87xnhd9SNwvGHcPRMy/hg3NWcdjMi5jor6ZTkSkrajSUTxQaDcCofIEJuRyGZNyCTMbBjrLXkQLM0NzUh+o5pPoQ87PJ2RzMEnPr6FyevR43Ha2f84CttZhhD34hggDb+kRCq3nve2z0uFhYKTRSjrYJjfbbntvzMhBotIKvLrv6fqBc9CE3zB3giPGnMDqXp99Wn7980nJeHvlNjk6lBT5pPBx+ZLFpxuiCbR/5/SIw+NHQdi0ALc0f8WzYwgkG00exMXk8iocx0TEoskLAGyUpyTzmHir8BHr7JJt16uyKFqlIDAFMDf9L7t6JO1CO3+UnlosRU2T8etB2RK0ViNvg9VIoGyN0Jnp2mcwIn8tn9rw3x+5Flkr/M/EdrNHnxda2z7lrzV3ct37ofbTbvx8wHavTX42Bv/VlC5hmBkwgCECLrX+PI2OaMSNxROpFBmv7G5Ya6uePwMvXiL+aRmOhQLVki6WtvA1+MxZSvUyvnE7UF+X6udez8QK94Xvv0IzpSZWz+dHcH1mRwG2vQ7qPmpJGSjO2bFncinJW9rc5W1FsfAYePs6c7EaXjOamBTdx9sSzrVpanZZ4euk0bpx3I5dME70PFVlhdpV4iEwhlMnncsXMK8T+wAhbJNsuApEupPnT+j/x/M7nuX317eLy21sTbH+DQzwVjgXDaM+ya2A3vmKR63tFhGaw+MvK5pW0JltFhrp1nUV3RThqby28mxP02gaf5Ixnvlyo4PxYnIm5PHovdMLusEndAAF8Fzcs5r5j7uMcn35+5WOFE5fsFkAvn4ZCzqwZNuqMjX61dmAa9UZFrciLVxJc/ScaSxoZVzrOmT01gGkhY90XEAGL0tFiIldzIntrWKbfCi6AlY16/lIwhFQGDsB9h8I9cwl+IgQyjGv+57YOyKfQdr5jZkzHduoBkp6dzKoSk/ADi+/mhp5eB2UOXQa9Qr+nl4/6Bo+f+Dj0LyGEdU/D+nmVZ3TArQO6w2I9/Nes6/hxTw94glTo0epytQhTz7C+Z9pZHB9s5NK+AWZNWQ6n6ZOPHYBG6kWN5nDZUhDjeOLxZuSR3j1WTffIQ0UG1ahz3GdTHfVFYdGNcMWn1veVNoIhPDNKz4S6PFA9xXFdeOZiUb/tL4WpZ8IMq4Y6WDUInM110gj/XS2qO4ojQ8PQpYczfymnFNxcc/Tt/HHJH/8f/jLLfjDrB5w54cx/vaHNXLKLV057hd8u+u3X3uehYx9ifq1QT5+n/wVLJRhAcXuRjMDRkdczr/EY2lwutnm9zLXtA9CR7aNYVLleDbF45GLCnrAzyBapZ0I+z4plT5sZXnDW64CVOXs7GCAuwbIxyzhciTAjk0Jx+eHCVyEygjP2fCFo7aFhKNmRETQUVK7v7Wfy3CtwaRoXxGL8ouEb9Obj3FdqZb2ujshc//71/G7N71idbuPsWAJuFIAk7C9nlaw7kqOP5572Th5rbYdckjPjCaKqyjl1ixznGPKEHS0WzOuqi1ktGbnEEhiZfLJ5bc1rXj1VsKJ2vws7RQ1mjary1xj8d2c3ofAIU5V9MLvGLbvxu/wsG7vMZDgZVlGErJLBl+3hZTnNk1ufpD5UT7TOEvOTJZlpldMc4CvsCfPqaa/yl+P/QkNk+LrsE0efyHlN5/HA0gd48NgHRUb/qP/k0JMf4jtTRXC7IVDDK6e9IkpLBtmKk0R2dlqllfEyVPGjJaOYNf08Pj3nU9yym1guRmeq08HY+vXCX3PGjCmML7d+35TyKdx7jMhAHFZ3mLmWjY+OZ9GIRfwtHGKt7hj+s9DLf28XdMboUT+kUr+uLYkWmsqaKPWVmsFj+5q3sHwa1/X2c2U8wzEjRQawKZujqayJcyeda1JCP/d5+I8JZ9Oks7Ru/OIO4sUcy8aebIJnB83wotfhW09QZgu62FWP71xzJ3iCtLhdjHNZ9YAu2WVpcYyYB3MuMgOYk8snM7F0IjctuMk8l6pAlegxveiGIffEsBJviVm+devUSzlfF+ELV9jqphvmwsl/NNuF3dUT49auHo4+7IfmJkfXLKA+VM/SUUvpTnfzj5b3OGrUCNZ2rKFTkfHoYGN6hZMNUjWotMk/QtBfxxa34nXJ1IS97M50MaagDavPMKyFqmDBZebvHWzlwRoWptKcWrMAPAFWnLSCe5bcQ8hgMow7RqyXNtaRkQA5TleAr87nkUbMZaoqzmtUvmAGdKdks8yddr6ZUBnOTtD9tjJfGWPCwu8PaJrozzrhBJaMPQm/BqeOqOVuPdPaYMt9b+jfTs6m+/LUl6LH+PGTxTr+63MtkSHDftfRxWH+Gvy1M83PIt5SwRQD0UfYG7LwiCSBJ0AYmU+zFt1+dvVsXIY/odPSzcA4UHfWYwDcX1rCwAe3k9mzkr+HQ7TbADLAJwlnO0Tj2bYzi04YfQJnTThL/3lj6HYpNOeHF4h9cZ+zfdsezVnKMa92nkjalY0RvqknSNgTZkPXBtpd/6e9+w6TqjofOP49M7OzvXfYxtJ7b9KRIiB2FBE0NixBo1FjEnuNmtj1F6NiJFbU2GLvShEEKVKk916WXba3Ob8/zp22jbYzC/h+nmcfmJk7s3fevXPnvqe8x0GXvmapwqQ07zmzxGZjflZ3qor2oPevY3qceZ8htpDaPaZZ3u/M/KoSPosyx4+9vIj1m76pc599HX+Jaab1hrpPhtajYO7T3tLMJftNb5TbBp8DzneOaeEO+NCqLBjTHJLbQcEWeG6gWQzZXSXVd9Fe34JGc60Ls7Vfgk+1RI+8Dd5kuboCdi3D/nhHJpe5vF9Gm2ZBaKw5sH1LUxfu8u7rzhpDY9+7yvTKWAvsKqU4v+35Zlit+2RuVV4Lr65kUvtJfsOC3EsmpEWYlsnc2Fyu7no19i3zoCSP2NBYhmSYOVBfTfiKQVa58HfWvMO76941u31wE91TunsWPAfg9fPp+a1/z+4VX5iE+EDZAVKqqz2tZTUT09d/fZ20yDSGpvaB54fAi6fSMdF8kBNfPoO0PWu4c18et+3L47nKWE+CBRBRVYENc5JqYc1pyIzJJK8sD4fNQWpEKpelDUJpzUBbNI53TOs8CblmSKiuNvF8IA2+vMMzb819kePpMa0oYFXeKjKiMsyFlG+DR3Ull3W6jEntfIaQ+s4Xdfeaag15m8xQUbvTJKG+vfQleSahjcuGzuf7X2TOftz7f6tib4T1O7Yc3EKCVvRK7Q0oXCv/x6CSUi44WEhmyQFz8s7bwFODH+Wd8e9wSkSGuYjtcKb3Na1jJi06g+aVVVwVlkOX5C4cKKkgPsR7kfC3jDFMPFjo7SX0nUtduMvsvyOUJKvyaP/SUmgzmgOOZPaoRDj3RSITWjItv4BQ93Bd8J/jebhzFNuMNv/GZ5v32KwHjHvM3Of5jPkMfXGEmaS1vpbki942vbTg7QmMsi6G3OeBkAhz39k+VTOzTzHzQMH01GbX3wtyPIlLNRe+WT6t0A1yhMKfN/s3NATYFZ2v4K7+9ReLqk9WTFbttYEb0De9L5d1NA2G43LHMX3UdF4Z80rtqutT3ofcoTDkT+aLGzxFkmqaWuoi4/RnCLWHclPPmzin9TneB6/4Gm5ZDyHh3N7vds/dNROoMEcYISiWhoWS5Igyv9PdqNL7ctP67m5YCYn0H5Lu5l4fs/14zu8wmdcLXMS4ND3T+tI1uSuzIrzfl+7qvS+veJkhjgQudkV6egXdF5vxofG0TmjD4Ekf0fWK2dB9CgNLy5h13lc0P2+G9/c6nKYRqJfPSCOLO+H3i2+HM+GGZXDqHd77rpkDLYaYnoRfPzTn7Q5n0mP/FhJdLuwdz+SZ3XuJ08pTLf1wRNmcKFsFVVTxlwML2FW8q1bhnfpkxmTWGq7rKz4snlv73EpESIRnJBLDb4cOZzC1y1QATms5vtYa4+3i2xIVEuXXUHFX/7u4rvt1nhoP7kQwIiSCqJAo3lr9FlsKt3gaP/ql9/MUBfMtpPX6uNc9IwmGZg71NJKEOcK4qutVFGIK1YB/b6TDZtbydQ+LrVmFf2rnqbwy5hXuOeUe7uxwBTZgarmdSe3Nd+H4omLeGv8WmTGZRFhFxvpFZnFZ/7/SKr4VdmVn1vZZXNjuQnql9fKMgPCb857QAtqN82sId/c2glkKbmvLIeTZ7aSn+VyT+LriSzjd+x06Omc075zxjt/ndlT2KMa2GFv38324hxuHJ7bi1AlmelSUs3bPuVvrojzOLiomqpn3mBmZPYrPzv2MM1qaxpjb55hjftOBdex22DkjvjPLLllG/2ZmtFHb+La8e8a7JFoFZNycPS4mRGsi7AdpkRTJ++vfo0hXkRsaX2+ieaQc0ak80/0muo0wS6u1T2xv5uz3uBjaWeuqnvksjHm41nNHtTONiulVVdB2HN0csYRoTVZlJW2sawhXWByMexSi0+nss1RU/9IysiorGV5cwpkpvT3397TOuxEulylgOelNOoz/P94c+4bfyLkbssz0Dffaoet3ekdPzchbRJdKFxnNzeczzKf6v6d4nstlVm7wqVmhQkLh0k9gyK2e6rpcOBP+7E0ao+2hFOKiS1k577W7mlHZo8yyPJ3Og1OsnMPns29vNcKTTG7uOZn/i4vl/qQErk3zH/3yQ0Q4Dq3pa12TT+5gzvvu63Uw35fntzUjRCPjzdB3h3LQzlq6K9Snd3V7dQmJPiOCinyOlxxHtPksKuWdluSMIsYZw5K9SwizhzHYWnJNhUbynLMV03eaZPzqggVcHx/Gjh0LKfE5xfVP788ZLc/gr329dWIeG/oYDwx8wG+ufoXN7hkd05D6V31uKn2vMq0WvS41iz9PHwG/miU9KNlnktOktiZB3fiD93lhMTDxDXjzQnjnMu/9kcmQ4vOl9M0DkGS1lPvMRcV9wi4v9C4D8p75oqH1SP9enwMbTbK7e7l5vrsHdeWH5gNdXQk7FkHzHiYpKC+EdV95q1MltYHiODNvzVez7mZ44sZZpjXDV40e05rLjABMbDeR1nGt/dcULCuAGePNMMdR9/Po0EcpqigiISyBx5d+xS3JSfyw7QdC7aE4bA7sys69p9xba15a64pKv4I87gq8B6qKiK92eYre3DHnDkZkmxbVX/b+wk+7fuL67tfj8Fm787nO17Hvl9dotfE1mP8vorRmYmERlK1hRvfL6bxnkfly9WksaF9RwUank4yoDL6wWoNuyRpH1PNDYcwj/oledLo36Vhq5vmy7mtuv3YOZ+SMJdNK3N2J6YGyAyzctZBR2SPMsePbSHFwB6fnWifoqnKTnPmuU1ZeCBu/h7d/Z24n5Hqfv32RSUTzN3vXGOsxBQZ7h57VJ8IaNrelcIvpmYzPgPSu2Nd8TFswcx/ajDEVXmdOJnb/OmI3/gDfPmAF7AxY+YH5v3XM3DHgPqqeH4ptzwpcMy/hMz2LWOUdVpOdcyq3zXsReloXm77rornXEbOH0CK+NdNXLqJNKVRHN2dWzOm4CvdwFpiWRvCvnuv72amjh6VOzXuYC9mYDPMlPNW7zIBnaK5vy3t9a5y6OSO86741626GCOcMNg1MFcWw7G2/v3uMLZSksiJoMcj0wJ873fTAHmJNyuNFrHUOyIxrcYgtfxv6pvfl74P/zojsEfUuD0HOAMgxn5kWMS3olNjJU1zuwYEP8saqN4gpyaegsojfXfxfz9Dac9vUSOZ9Gl/axLdh/qT5zNs5z5M8uNmUjSRbGDtdpYzJHmn2y/35cY+o6H4RfP+w93xWlzvzQNlwKkX7SvM5UHEZTGw30a8uwC53leaoDO7ftAHl872YHZPNkr1L6JXWy5z7rfl6JLc189PqUs+ohw6JHXAoh18FfMCz5NAfevzBm7TGZpqkdP9aGHgjRKWZ81ZCS2g1kvZzn+aHAoXKOfw53FGOUAp0AYt95u3WV8yuMUWGRLLgogV+jcVDi0v4LjKCSztdysLdP/tt7x4tUFRRxK/7f/Uktu7XOlB0gMs7Xc7EthPJjc31i6dvYur7XR0REsHQjKF8uulTwuxhdErqxMjskaw9sJbpo6fjtDkZNNOnAJz1nP1l+2tV744Li6NbWDfTSO1uZA0Jp3dab97ZlUdrn2J23dqfx8SCtVzV52ZsykbP1J7Mv2g+1a5qT6+03WbnqWFP0SahdoG47JhsHhn8CP9a+i/PknaXdbqMV1a+wuSF9wPQLO0wG9nqcFqL0w6rDkBmdCbL9y8nwhFBVkwWI7NHNjxt4JwXYPGr3s8t0CnNJKndU7rTN62vp3ZGYdFODsSGk2ol5u7zQUxoDK3j62hQtdmJdGm0rYKUhAPc/ePdZh8PdxTM4ep3Te37zvAZNePuEawhOyabczOG07NgL7QcxpSf/82QDauI7jaZNltMp1E+1rVSQi4zDpQxLdbFj+FhPLh3H0nuCt0DvO+9f7P+vL3mbfNYqHdoa25KJ6bvO8j/wop4JSaGU/vcyCPR6cR/dQ9Xpqfy/QpvUSOAMeEZdX5XT+0yldd/ftpU601qAykdOKuwyKyvHB5vfnyvvR1O82NJD4khoXIvj+7ZR1pad/M7HKFw3vQ6YwRmut3ba95mW/uxfL9/PugyNoY4ia+u5oDVczqitJzmFZXsb9WeLFcZgzMGM3/S/FrD6d3cPZR90/vycPcbmL/kJe7ZO4fyioNcXFLFBiq5jgwuoPb6oTG+IxO7XmiuGZ1R3NzrZjYf3MywzGF+OcSAC99Dl+TB2yZJnhURzuKifUASN/Qw0x9C7CE8YBUDc3MXMly0exHrrGWcDia1pLqkxpq0dTjOElNlLqL7X2tuZvY2PY7rra7fJa+b3tPsAaYn1Dexszv9e0taDjfrodps/hfDv7zp/f++Nd6hwe6L0hXv196t4v3ei2tXtRmi2elck5iW5oG2kkX3hOMnu5oL+a6TTJKtXTBzihmm6B6iEJPuXfPS8x6sL9KaiwmDqQYK3v2oWUwHM1TslOY1enR2/mL1HC7wbBMabn5PqIan9uwj79KfsNscbCzYSHFlsV8REs+uAd2SuzJnh/+i7XnVZTSvriah2kWsPZyCyiK2HtzKwcqDXPSJaY3pmNgR8rzVBOM2ziYO68Oe51OZsbIYPpzG9LBQMqYtgeljPA9dVFBI63bnUhyTicPm4MYeNzJqldVjtvxd/5Z7pUyMbQ5Yav29Q6MJtYfS+8Obzd+t79XEDL8NMK2yhZWF9IluAV8+6f/Gn+wCt+0yDSGvnGOWYPDtDSw/6O1hBzOUN99qYSvcAX2vgfn/9CZ59V0U15BgJaYbCjbQr7IMEluZIjm+x/yIu62EXMHCf/sf275rhFo9ppkxWZDUAXavRBfuJpoSonyLMYTHw50HvK2xPkWxPGuvhsZAfA59yspZpnNIK6ni8YqzSEp0msR00E2wdzV0nuD/um41eo0a5F47sybfURNn/RN+nlGraFGD4nPgmh9NTLteYIZup3Uxw8EsP1w41/S2uxOEzkc25LSp9Unrw9gWY+ma3PXQG/8G2G32IypQpZTir33/yqRPJlFWXcb4luMZ33L8Uf3uiJAIz1y3miodTqgo5fT2E62NE02jjnvudlyW6W30nTJQk896nOQOgV9mQnQaQ+IyUFpzSmkZc6ye0wuKyrg1dwQhy+6Fc1/yPG1g84F8sP4DhmUOq/nqR6x5VHO+nPBlrXXD3dzTTwDveSoiCYZb9SMqikxjcLRJfFVs3cNq6xPpCKO4soB54d6htDUrwAdKzeG7j7aZTMncp4i7ZBxj6ynSFeWM4v6B9/vdNzZ3LKH2UK7sfCVKKc9QdDd3YlrXPNYxLcbw6aZPPRe1jw55tFYPri/3PLYGl5WyahG4GznbXr/cvyEvNJbbhjzk95RQeyj4j1hkWFb9x9eYFmN4f937zLWuMYZlDqN9Qntu+cE05NaZvDUy9xBud6/zY0Mfa/gJXc43P0BCtYs8u40cq5BTbGgsL45+kX2l+xj21jBWW5VcU60RW+75sjXnnvuKcIHLVkFG2GYWWwMHm/lMQWhqd5/qvV4KRdG6shJ6XEzryhIoXsCoMCvBCY8j5NbNjF76IjlbfyCpy63mmujX//mNQhqRNYIPCu1mXnvNUTEXvMr4OU8y/ryXIDKRMT2vpXrXBlrt/Ijnds32K/k9OtP/fBvjNEXBJrWbxJSqMFh/BXQ8G0LCua/rNM8yL4dy6/DHuGHLXGLPGOPt4KrLVT94rnvca1v/vPtnNugybux0JRd3vZrybT/R7/tr+HO367ho/c+wYxEHet3kGdVQX1IK/vOoY5PaMWrEIxSvfY+HFzzM9Vd+R+hzgyje9CPkZHJjaDbvF29io8MEKMT32jC2uUlOw+IY0HyAZ3m2mpRPwwvAp1GROLB5enYb4vu5XRebyuqq2stC1nR8JabKVruVY9htJjFVdlMQZdMsU/Qod6j/dnan/wXrlPe8/283zvQCDbkVfnzG/IB3+Rkw9/W92vSwJbY2F6/rvjSPFe8xt8sPmt6V6goz5HjTHDOcMMNqXfYMEbYSy8gk05MLJqF2JyzdLjK9N8v/a+aUDr7FDKnabCVaNRex37EYnrfeb2i0iVMdPaa15G00BXPAJDQf32SGhtX4ECZgh9BY/+G7bpXesek94tr4JaZVriryXOV0CYnGzj5eTxvNuO3vM2PlDGaununZLjE8EQqt4ZBJbWH1x6YgFfj3Plr6lJVDZLrfF1/nigo6h6RQun4RkwY+TlKLoTDf6g3d9pP35DbZDEkmLsu8159fNrfLCsyXqzVMmvnPEV5ZRmJYomfR7z5R3gpkpHbybvvzDEB7/z6l+eZY3P6z6eH2LYGd0MJUhXVGmuMiOtUkptYcKt/5B1y3yPS+v3GhKahz+hPwzX2wYzH9Ssv42559vNdmAMP2/Wh6LpyRMMd8EZxffgdvpVhzj9qP909KwX9ou9Pb8khqJ1g0A1t1Ja9Xj6bluBt546ctDGchk7P6+X/+LnwT5j1rjtPlZs1F0rviOrAZG7BON+eD79ezcV8xfx7Tzhv3y/wXCq+riMgx8S1m1PVC6Dap/m3r444dmBbRAdf7PWx3OANalTbQUiNTeXhw7eFX4vB1Tu7MP4b8g+4pR99Tcyh/H/YE32791jvUtMtEM8InzGcY7Hkv4b/QSgPGP2nWnA2PJxqYlTWR6NmP069lPKVVZSRXlhHy9b2m4dZnWY7ROaPJjM5stJ7FugpX1an1SFj7uRlpZLMDdhjsnYfKBa96p/ccpkhHBCU2xY9WYhoVEuU3RSSYnCPuwTniniN+3nXdr2vw8XBHOG+d/hbZMdm1HhucMZg7+t3BoOamZ7RmUvrI4Ef8hs56iiaGN9Arn9IB+k+DPtYc+7oK1zUC9wX35Z0u916PKHOtUd/a4o3JnZw3lCzW561xb5JXsKlWvJPCk4hVTlZZS6GkWH+znJgcFKrB3xWuFdW2KiLwNuCnpzRO5fZGN+YhUzwwozeRO5fy3WfvEdvPZ0qRUpzT7Uro5lOnYeANfi+hlCI3pQvs21h7FFTrkebH5/XsY//OI/9ZxoV6OwrFDXn57LfbSW7h3wDy7hnvYrfZsdvsppE5d6h3FMqgmzhcYc17Eta8/qH+HuneBuFwRzg9U3vy1hprfnnz/jgcThw5A1mWY40kbF8ClaXEh8UTz6E/Wx2TOtIpsZNndCLA2a3P5uzWZ5sbHc4i8odHWLpxC6pVO7r3v5MPNnzMf/cvIqfmknZnNVwh1+2RwY/wpx/MXOq54WG0ikyvVTehLr7fn5/kryRCKZ7YvZcRDTzn+EpM6xqOl9ELzvu36SFt1g2e7Wt6x2r2pviudxhRo6U2JBzGP2H+P/I+k4TanWYI6Kd/8q6FunW+6WHsfpGZb+ZJTPfCZ7eanrlznjf3JeSaIi0/PW+GbIKZk7fPZ/x0ZJJ/IuLWYpC3BXLraXazoQAAIABJREFUPCrfu5YQnwn/nvVbq6vMHKIffQ4ce4hJNHwT01/eNolNi0FmIedXz4U2ozxJDGCGJy940fzcXQDv+QzfKNlv9rOuVlWfyrMX2JPZEN2KjwvNexz21jDyqSbFGQtRqWQd3E22cjJz9UxiQ6IpsEqhJ0ckQ9Eu8/fpOhG+vgdsh+g5uz/VJK2Zfc3ak4tfhaUzCd+/lvC9a+DauaYBIKUD7FkJs62WzVyfE9LgW0wve3WF6Zl1D/0e9QAU7UbNfYrxvc/j5X0/kRubS5LP2rK0Ge1NTBe+5F3CCMxx2v4ME7fVn/rPxYzPMcebVVEOl8sk42s+NcdcO59el8SW5qf9ePNarU41+7hjMTbg9OISTo/tBYVfmotVn6Fzq7TP8T/4FjMczpdvMTDfv2tqB6gsQQF7dSwdk7KpjKrmnbJUJtf8+2f0hHNehN0rYcdiqnDwr5WhbF9TyIPAelczXpy9kT4tEhjVoYEhuo09/NXdk9vj4hNmaK04MY3OGR3Q1++V1stTGwAw5+02o/w3stXodmpISLjf0LvY4bfD8NspnWGGp3nmjw+73e9pSilPFdegSmoNF39Q/+Ptj7yXOiIkigN2O/k2G9d2vZZrutUxVPEk4Dtf1ZfdZvfMRavLmBZj/G7/bdDfeHXlqw33SNpsMPqB+h9vJKOyR5Ecnsz1PbwNhacdwTDuYzU8azjbCreZ9cqPUGpqZ1JT617GJcEZxRptrjNTrLmkYY4wuqd0b7A3P1zbKLNXcaDKW3AzIrVTvds3qbgsb8NFVj8SXS5vB8SRGP8kpHeDzH6H3tZmo/WF7/Lga+PYUJbHJQet69V0/5FCqZE+1ydKNTw1IgCeHv40076exqq8VXXPd/edanQYOiZ25I3T32hgg7Pgh0dMEaHS/XTvcD7d2k+g67r3j/o7bUyLMQzLHEaf13pTpdRhz9vvkNiBRVMWMeHDCWw6uIl/5JzNoM1PNvic4ysxrY/vHJc/WEMZd6/w38buND0zg2/xVu2si80Gf7Dm3cTnmF6Rp63W1J1LTZXA6DT/xHfD9/Dzv02i9OWd5r6EFhQNuZtIZUfNt6qPFu+FZ3xaU2wO/9e59DPTW5jZz/weS0jJbnRIpLdNvHCXSXCf6Wkmjq94z/81QyK8Q3m1hnetoVF3F8BXd5vhpnt9Cu9EJHmXzwFTGXept1w9M6fAHiueUWnQegScepcZJupTATd26Zs8tHkOp0RFcltyIt2SuzJq5dcMT86CuHD4ZSbj4mJ4Jy6BF9pfyZm/mGQxLjTO9N5Gp5kWta/vMfMDs/p7e3TBJK7u+b3VVm9pZh9TMGPVR97hpM4I874Ld5pe7j0rfeLjMzc2NsPMDfzpedPT/qbVsxaXCf2uhfXfcPaOdbzshD7J3bxDxgH6XGWSZ0eo2V8wyfuAP8DX95pEse1Yk+hXeyfl+/Xau/fn2nmwe5lpjKjrhHjWc4BVUKn1SJjzhKkiu3m2WZw7PN7MubLZWDbwWf72zXYO4jPMJb2L2ZcN35vh0O59jUzxWzIH8Csbv1fHER/hJC7CybYD/uur+e7//inf8JfH/0l5eTnff7OFeGcCp+rufOkyx/qfRrdtcKgYAEP+bJLixtBuHAz84xG1dArxWzat2zRmrJjB4PEPmnNxxmG0+p+gIqwRIlopT4EZUb/smGxu63dbU+8GcPhzQQMlxhnDtO7TGv11U8KT2FhuCkOmxHmHgM4YM6O+pwAQhoNNzko2lm+ke3kZU/MP+q0JetxK6WCKPOYOPfLnhsfDoD8e/vahUYy65GtTJ2bF+2aqnePQPXnBFO2M5sXRL1JQXmCKmQZaakfTCfflHaYeDqbx0dOjepTCHGE0d0SxraqIDmm9D/0ES4gthKldpuK0OxmUPQK+bzgxPb6q8oZ7h5es3V1I57s/55/frUf7VkF1S6jRymR3mpaQ4bcfeo2n+BzzA6bHarS1dtiyd8y/UameNbEAWDjdOxzRSoJ26gQ63fcd/4m9Gn73sXdOXUyGdw6iq9p/P7P6waj7TS9oeDwMu523qwZTrEM5YFWAA0zVqmetP/rHN5kkzn0wK5sZ0unuMfWdj1q8H1a8673d+XyTaA6v8aXzy0z/23t8knxdbSoRuwtIuXtMc4fCZrPI9ulFxXx//nc87chm/P4dRKJM9VTg6vyDfOFoTa7Le2jZvrASy9xh/ifVNqeZv1vOIPj9AtOb6tbpXDjtIehmjWH3HToUGm16GKsrTE/6lDrmBbt1OMPbg+Cu7hyVahLGjmeTu30Jj/a9kyvW/GiG3IIZah2dCsP+YhJft2G3Q7/fmxa9lsOh7Rj/pLQ+NptpwWtez3Ayh9N7Is0ZaIr+/O4jcyxXlJj4WAn3puThzHXV0WJ65rPmOf2nmaIsSsG0BXDTav/tYpt7ljypwk5cRAix4Q4KSr1z2L5auZvl2wsoqajiwU9+peeD3/JFaTvmYIZWjeicTfZ1/2O11WvbM/swhnUN+4t/peBjERYLI+7yK44ghKjfVV2vYs6Fc3C0H19r2PrJJtKzzrLyLikiRBPql+Ydjh5T1yi6ekTanBTZIdZVzdO79zGwtOzE+N6z2eHcF/yWDQkou8NcF/aY4l/5+zgSYgs5/CkOjWHA9XD5VzD27436si1STG90h+QjO7eOzR3rN/S4IcdXYhrvrSC5cudBCsuqePizVfz+9UVUu2okpyFhpjfxqlmmp/BYymf3vxbO/D/vOkSRKSa59B0SPOJu77CE0Q+yNd8kJO8v2W6SCfe6i826meUCOk8wQw19ku1aww6H3MItVVfTqXw6+2O7wB9+MaWp2471n3vZaqR33k1FkRmWuvy/8Plt8KLPH/r5oeCqwjXqQWjeC8Y+Ajet8ivqQvYAMyTZ17jHvMsSDL/DrAe5aRY83cs7nHXAHzwJtw1I+PZhMzwVTE+xVaxDAfZdy+B/1/Pm9l08sXuvd/7uuEf9lzxwrzPZeiQkt8GV2Y8KbWdQ+eP8J+0v6L5Xe+cCnvO8tye8cLfp5QUzAb3lMJgwwyRndXE3bLj/fu5iWNYcwlEL3yR183zv9r6v44ywqv6mmnmsIWHQ83dmSHXWKaYYRFpn885b+cx/qMe6PUV8umxnwxvFZZljZfAtzB33Nct73ud5qKSi7gWViUgwie/oB+AWazh5eBzz94ZQVV1jHu+Iu/ipxbV86eplekzDneSXVOByaSqqXFzxn4Wc/vRsfvfSAp7/wayV+qfT2jK6oym40Tc3kdykKG4b254f/zL80L2lQogm91v5nIa1MNUje6R0q78CsxBBNKilt/DVkXwOU8LN9dLNVZHE/nk73Lq50fdNnMQye9e9zNgxaJPQDqfNSZuac1WPxOVfNvjwcXvWzi8xPTiT+2Xx6rwtXDkon+5ZNXpmel9RxzOPUpcLzHqS+9eaIaw2u6ncGRoFZQd5/ddKFkTYeHhoKc7+11C0yhQocrkT5mbWRP2evzNJwrkvel971AN1ltbPLzHJrcZGfmklpFqFDM7/jxm++9XdZo3FAdebhDIy2ayXtPg1UzHUXcTJzWbnh97PcvGH8Tw3+VVO8+1lHPsPWPIajH4QZlpJaExzUz0sMgm43PSkpXc1iebX95hYfPB7s214gknQXrOqk/70L9OTBzD+KZNA9rgEPvszLHgBgI4VFXSswPT8+S6R0uMSWDQDUjrwcXVfkqKc9AXyWp7F+PJKdpLInR+toVtOMl0yrMQ+Lsskp9pllvZwcxee6nhWnX9WwPTWxWdDx3NMFTh3b3l6N1P5cd1Xpkd42O2mSFTNL46+V5mfmuwOU5gkPN6a03DoL5x/free/y7axvNTejKqY1qD2xaVVzHp7W3ANjY9lIPLpflxvXcJl398vpohbZPpnZNQ5/OXby/ggufncdvY9lw52KeScGg0X6dcjFqziQin6TV1aSiqqGJHvndI70+bzNAjm4Jrh7Zia14J47qkc1rHNGw25f+aQghxHDhoLVExIOPELV4mTi5tjrKo2JiITGK3rOX0MY9ZcxCPvCiTEI3p8s6XMzpndK0K5Ecks0+DDx9fPaY+8opN0jaxtxkuuCO/rKHNazlQXMHAh7/hk0P1TrnZHaa3KaGlqawKZjinM5LKyFT++t4y3tuVzOvazH/YV2T2r9rdG5fc1iy10bqOXrNTptW5FtzNb3vXmDtQ7DMk1O6ALhPgwjdMT2CLwSZR7j7Z9NhNmgljrO75ATeYyoUA503nyS0mWbj61UVMn72R5763hkL3uRKmfmcS6GvmmmGy18yByCR2FZQx8OFvuGm2AqU4oOL4Ou0yqn2XjUlsZd5bf5/5F7uXm4Te3atpd5je1su/hLt8KtX29qnCBnDGU/CX7WyxZXDDzMU88rkZbrq/uIqdeHupv1hRozoxmF7JnEFmKZ4uE+suLlWDDouD/r83S/T0nepNPB1OuHo2THjZzEXN7O2dvF9DZbWLVbsO1h5W3upU01Npsx9Wr/3m/WYI9s1vL2VrXglaa1wuTXmVf+GvqmoXHy31LrHz/Zq9nPnsHN5fssOz+898u46Lp//kaeDYWVDq1zs6f6NJLF+Zt9nTgLJlfwkXPj+PZdsKiIsIQSlFXISpFri7oIzl282c4q4Z3riO72oaVTITIhjbOR2b7bfR8yKEOPGc1+Y8Lu90OVM6TGnqXRECML2kr6SP4a2cBuqf1KF3r2v5Q7frUK0PbwikEIEW7Yyut/BaYzmOe0wriAlzkBlvWoh2FtRTnKWG9XuLWLo1n6pqzbYDpVz72iLWPziWnQWllFW6aJVS9/j8gtJK/rUhm4WhzzJdh+FbS8w3Qfplm1kSZr+VmBaWVfHNqt38urOQyf2yiQ0//Fx/1S5vAaR8nzl+AA9+8iuz1hbwyfVn1u6HC48zlYmjkqHd6aYg0p+3QlgM8RELPJvd95GZD3t6l3Qy4n1a2sJiPIsqa615bf5mth0oZduBbTxwdif+u2gb928awch2E7k97BEcae1pHhqF1prrdp3ONTmFdNw0w6yt51NMB4DIRPMDpnd2w/f+w5ndQqN47L3FVFZrlm0vYNGWA6zYcdBvky9W7uLm0TWq43W9wPwcppfnbOTZ79Yz49I+dGgWU3uDyESznpWPD5Zs58FPfuXhc7swtK1ZDPuylxcwa+0+Xr60N31aJGBTCqfddlhJWkFJJVFhDvKKK1i/t4gBrRL5ZWsBgx75lmaxYUSGOrDbFP+7biAhdhuz1+5j8vT5OHxe+5KXfiI1JpTHL+jKgFZJfLpsF83jwrniPwvpdu+X/HVsOx78ZBW3ntaOS07J5pUfN/PJ8l0oBVvySvhuzR6GtU3hhVkb+HGD6XVtm2qO8n65psf1whfmUVBaSU5iBI+e343RT/zAaR3TePjc47Q8vRBC1BAbGssNPW849IZCBFG3UY8c+ZMy+xyyd0mIk42qs7BQY724UqcBT2KWWX5Ra/1QQ9v36tVLL1y4EIDr3ljMsm35fHvzUDrc+Tl9cxN4+VLzAV23p4jkqFBiI/yXHNlfVM4l//7J0+vj1icnwTMsccFtI0iO9q/YpbVm/DOzPc974OxOnNczg4WbDtAhPYYr/7OQPYXlZCdGsHpXIX87pzP/nrOJ2ev2+b3O+K7NuO/Mjny3ei+dmsfSKiWKqmoXdpvym1ewNa+EmQu28uaCrewrMtVn26VFU17lIi4iBLtSLNxsliCZcVkfft15kH99v54rBuVyzZCWKFX3PIXdB8vo+6BZL/OaoS3553dm7atxXdLJSYzAYbOREhPKyA6ppESHsT2/lFveXspcn+Gh9blxRBscdsXfrd7NjfePRDmcnsf3FZWzNa+EGXM3UVJRTWKUk4GtkhnXJd0vzt+t3stHv+wkOszBy3M30SE9hpU7D9b6fW63ntaOZdvzefyCbmzaV0JuciSrdxXy6fKdTOmXQ1psmN/ru+OiteaFWRt48JNVKAUd0mN4//cDqKhyUVntYsO+Yl6avZHBrZOZ0CsDpRQvzd7IvR95K/wOap3EK5f3ZcGmPCY8Z6oHT+ydydo9Rfzs8/cZ0sZbade9b78f1oqlW/N57vv1zFm3n+zECNbuKaLapfnTaW1pkRjJNa8t8nuvvXPiSY4O5bvVeympMD2ofxzZhse+XAPAPyZ05bye3sWRtdbc/eEKZvzoP+/EabdRYfWcjumUxs+bD7CnsJyshAi25JUQFeqgqLyKzs1j+d91A81rf76adXuKyE6MYGKfLFokRbJkaz7ZCRHERzoRQgghhBDiWCmlftZa96rzsUAlpkopO7AGGAlsAxYAF2qtV9b3nND01rrrtH+SHhvGroNlpMeG8/7vBzD2yVms3HmQqYNz2bC3mK9+NT2YfVskMH9jHq1SokiNCWXOOpNgndYxjW9W7eGO8R3YmlfCvA37PT2dAEPaJBMZaifS6aBFciTLtxfwybJd3DW+A6/M28yGvcW19u3O0ztQWlntScwAumXGMW1YKxKinDz19Vq+W73X85hNQYTTJADZiRG0So6ic0YsO/JLeWvhNs92fx7Tjk+X7eRASSUHSiooLKsiNjyE8qpqyiq9wzJzkyLZsK+Y6DAHhWWmAE5ipJN+LRMpKKlk9e5C9heV49Lm/T83pSffrNrNZS8vrDPWEU47JRXVRIc6uHl0W87p0Zz/+249+SUVrN9TzLk9m7P7YDnN4sJ59tt1bNznHxN3z3N4iJ1WKVF8unynZ39zkyPJK66goLSSa4a0RAM78ktZv7fIr9FgcJtkHj+/Kz3v/wowPXfzNuTRKzue3w9vxaX/9vb+hofYKa2svc5tWkwYvVsksDO/lCqX5qK+WWzYV8wXK3axfm8xYzunMbZzOtNeX0y7tGi/Xmq3U1omMqpDKnf/zxyal/TPJj7SyRNfraV7Vpw17NVJblKkp4HDLSrUwZT+2SggPsLJI5+vorJa0z0rjsVb8mv9rnGd07lrfAdSYsLYvL+Yz5bv4rROadz14Qq+W72X5nHhNIsLo0N6DAfLqrjnzI5cPP0nVu48yOw/DSMlpva4/rW7CwkLsbN0Wz5/fXcZldWaMZ3SeHfxdu4a34Hk6FCmvb7Ys/3Mqf34dPkuumfFcWa35rVeTwghhBBCiEBoqsS0P3C31nq0dfsvAFrrv9X3nJjMtvqax99mxc4CduSXcekpOVx3amu255dy1SsL/ZKamDAH0WEhbM8vpXlcOFGhDlbvLqRPiwRev6Iv1VoT6vAuTF5Z7eKVHzebYY2r97C3sJxKqwopQEp0KF/cOJgql+bGmUuIi3DitNuYu34fkaEOPpw2AKfdxjer9hAf6aRtWjQxYd4e26pqF098tZZtB0o4o1szflizD601IXYbX/66m837SzzbhtgVb199Cq1Toohw2v16+VbvLqRlchQhdhtb80p46NNVjO2cztjOaby1cCtLthbw8+Y81uwuIjzETkKkk/3F5aTFhNEqJZrh7VIY0jaZ5nFmPc1fdx5k8/4ShrdL4dPlO9lbWM7y7QVEhTn4eXM+fx3bjkGtG15sWGvNkq35xIaHkJ0YyaUvL2D7gRJyEiOZt2E/xRXVtE+PwW6DjumxPHRuZ4orqvnDG4v5etUeQuyK2PAQYsJDuHxgCzLjI8grruCMrs2w2RTr9hTx08Y8JvbO9Bsa++y36/hpYx79chPZWVDKf6yewXO6N6e0sppPl++idUoU2/NLPT2MAA6bolVKFJP7ZXNB70xC7DZenbeZV+dtZvXuQib1yaJdWjTD26cyc8FW/vndOiqrNcnRobxzdX+yEyM5WFbJ9W8spqS8mp458UzomUFiVChz1u1j24ESTm2fSn5JJVfMWEB+aSUKcGlokRRJ/5aJLNmS7+kJfvrC7vTKiWdXQVntAl4+x+fWvBJaJEXW6g2vqnbVOp7rU15VTVFZFYlRoSzZmk/HZjGE2G1orbnk3wsoLq/iv9eccsjXEUIIIYQQorE1VWJ6HnCa1voK6/YUoK/WelqN7aYCUwGysrJ6bt5cdzlsrTVllS40mjCH3ZPAlFZUExZiO+pS+MXlVewtLCcmPISEAA1Z1Fqzp7DcM4QyKSoU+zEUkNFaU17lMvMcHTaqXfqYXu9YlFRUYVOKUEfdf4OC0koinXYc9mOvs+VyaX7ddZC2qdFUVmuKK0wsC0oqqah24dKawjLTQx1Sz+9zuXSteaH7isopLq8iNSaMsJBDJ3++9hwsAwV2pXBp/IaJF5dXER5iP26KBbmXXGqqY0UIIYQQQvy2NZSYBrL4UV1Xv7WyYK3188DzYOaY1vtiShHurJ001HXfkYgMdRAZGtgaUEopUq0hmI3xu5RSfglUUyYaEc6G309seEiDjx8Jm03RsZmpFuuwe//2vnONU+uob1TzNWpKigolKSq0jq0Pra6htW6BPq6OlCSkQgghhBDieBXI5WK2AZk+tzOAHfVsK4QQQgghhBDiNyqQiekCoLVSqoVSyglMBD4M4O8TQgghhBBCCHECCthYQ611lVJqGvA5ZrmYl7TWKwL1+4QQQgghhBBCnJgCOglOa/0J8Ekgf4cQQgghhBBCiBNbIIfyCiGEEEIIIYQQhySJqRBCCCGEEEKIJiWJqRBCCCGEEEKIJiWJqRBCCCGEEEKIJiWJqRBCCCGEEEKIJiWJqRBCCCGEEEKIJiWJqRBCCCGEEEKIJiWJqRBCCCGEEEKIJiWJqRBCCCGEEEKIJiWJqRBCCCGEEEKIJiWJqRBCCCGEEEKIJqW01k29Dx5Kqb3A5qbej5NYErCvqXfiN0DiHFgS3+CRWAeWxDc4JM6BJzEODolz4EmMAy9ba51c1wPHVWIqAksptVBr3aup9+NkJ3EOLIlv8EisA0viGxwS58CTGAeHxDnwJMZNS4byCiGEEEIIIYRoUpKYCiGEEEIIIYRoUpKY/rY839Q78BshcQ4siW/wSKwDS+IbHBLnwJMYB4fEOfAkxk1I5pgKIYQQQgghhGhS0mMqhBBCCCGEEKJJSWIqhBBCCCGEEKJJSWIqhBBCCCGEEKJJSWJ6ElFKTVJKdbX+r5p6f052Sin5/ASIUuoMpVTLpt6P3wI5jgNLjmVxspBrDHGykGP5+CUXJCcBpdQIpdQs4AmgO4CWqlYBYV1k/rGp9+NkZR3LPwLTgfSm3p+TlRzHgSfHcnAopc5SSt3X1PtxMpNrjOCQYznw5Fg+/jmaegfE0bFaeMKAGUAKcD9wJhBhPW7XWlc33R6eXJRSDuAm4BogSyn1jdZ6icT52FnHciTwBhAN3A7cAGQDs5VSNq21qwl38aQhx3FgybEcHFacbcClwJ+BbKXUF1rrWU27ZycPucYIDjmWA0+O5ROL9JieoLRRCrymtR6qtf4cmAtMsR6XD1kj0lpXAauBdsAfgX9Z90ucj5F1LBcBr1rH8tfAZ5gvDuRCvvHIcRxYciwHhxXnamAdptfjWkB6mhqRXGMEhxzLgSfH8olFEtMTjFLqeqXUC0qpKwG01h9Y99u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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ], + "source": [ + "gm['Open'].plot(label=\"Open\", figsize=(16,8))\n", + "gm['Open'].rolling(50).mean().plot(label=\"MA50\")\n", + "gm['Open'].rolling(200).mean().plot(label=\"MA200\")\n", + "plt.legend()" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 21, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "______" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Enfin, voyons s'il existe une relation entre ces actions car elles sont tous liées à l'industrie automobile. Nous pouvons le voir facilement à travers un diagramme de dispersion. Importez la matrice de dispersion de pandas.plotting et utilisez-la pour créer un diagramme de dispersion du prix d'ouverture de toutes les actions. Vous devrez peut-être réorganiser les colonnes dans un nouveau dataframe unique. Vous trouverez des conseils et des informations ici: https://pandas.pydata.org/pandas-docs/stable/visualization.html#scatter-matrix-plot**" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [], + "source": [ + "from pandas.plotting import scatter_matrix" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [], + "source": [ + "car_comp = pd.concat([tesla['Open'],gm['Open'],ford['Open']],axis=1)\n", + "car_comp.columns = ['Tesla Open','GM Open','Ford Open']" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "output_type": "display_data", + "data": { + "text/plain": "
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\n" 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "_____\n", + "### Bonus: Tâche de visualisation ! (C'est difficile !)\n", + "**Créons maintenant un graphique en chandelier! Regardez la vidéo si vous ne parvenez pas à recréer cette visualisation, il y a plusieurs étapes à suivre! Référez-vous à la vidéo pour comprendre comment interpréter et lire ce graphique. Conseils: https://matplotlib.org/examples/pylab_examples/finance_demo.html**\n", + "\n", + "**Créer un graphique de chandeliers pour Ford en janvier 2012 (trop de dates, ce ne sera pas idéal pour un graphique en chandelier)**" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [], + "source": [ + "# Code ici" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "____\n", + "# Partie 3: Analyse financière de base\n", + "\n", + "Il est maintenant temps de se concentrer sur quelques calculs financiers clés. Cela vous servira de transition vers la deuxième moitié du cours. Vous n'avez qu'à suivre les instructions, il s'agira principalement d'un exercice de conversion d'une équation ou d'un concept mathématique en code à l'aide de python et pandas, ce que nous ferons souvent lorsque nous travaillerons avec des données quantitatives! Si vous vous sentez perdu dans cette section, ne vous inquiétez pas! Allez simplement au notebook (ou vidéo) sur les solutions et traitez-la comme une revue de code, utilisez le style d'apprentissage qui vous convient le mieux!\n", + "\n", + "Commençons !\n", + "____" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Rendement quotidien en pourcentage\n", + "Nous commencerons par calculer la rendement quotidienne en pourcentage. Le rendement (en %) est défini par la formule suivante :" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "$ r_t = \\frac{p_t}{p_{t-1}} -1$" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Cela définit r_t (rendement à l'instant t) comme étant égal au prix à l'instant t divisé par le prix à l'instant t-1 (la veille) moins 1. En gros, cela vous informe simplement de votre pourcentage de gain (ou de perte) si vous avez acheté l'action le jour et l'avez ensuite vendue le lendemain. Bien que cela ne soit pas nécessairement utile pour tenter de prédire les valeurs futures du titre, c'est très utile pour analyser la volatilité du titre. Si les rendements quotidiens ont une large distribution, le titre est plus volatil d'un jour à l'autre. Calculons les pourcentages de rendement, puis traçons un histogramme et décidons quel titre est le plus stable!" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Créez une nouvelle colonne pour chaque dataframe appelée 'returns'. Cette colonne sera calculée à partir de la colonne de prix à la fermeture'Close'. Il y a deux façons de faire cela, soit un simple calcul en utilisant la méthode .shift() qui suit la formule ci-dessus, ou vous pouvez aussi utiliser la méthode pct_change intégrée à pandas.**" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " High Low Open Close Volume Adj Close \\\n", + "Date \n", + "2012-01-03 29.500000 27.650000 28.940001 28.080000 928100 28.080000 \n", + "2012-01-04 28.670000 27.500000 28.209999 27.709999 630100 27.709999 \n", + "2012-01-05 27.930000 26.850000 27.760000 27.120001 1005500 27.120001 \n", + "2012-01-06 27.790001 26.410000 27.200001 26.910000 986300 26.910000 \n", + "2012-01-09 27.490000 26.120001 27.000000 27.250000 897000 27.250000 \n", + "\n", + " Total Traded returns \n", + "Date \n", + "2012-01-03 2.685921e+07 NaN \n", + "2012-01-04 1.777512e+07 -0.013177 \n", + "2012-01-05 2.791268e+07 -0.021292 \n", + "2012-01-06 2.682736e+07 -0.007743 \n", + "2012-01-09 2.421900e+07 0.012635 " + ], + "text/html": "
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HighLowOpenCloseVolumeAdj CloseTotal Tradedreturns
Date
2012-01-0329.50000027.65000028.94000128.08000092810028.0800002.685921e+07NaN
2012-01-0428.67000027.50000028.20999927.70999963010027.7099991.777512e+07-0.013177
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2012-01-0627.79000126.41000027.20000126.91000098630026.9100002.682736e+07-0.007743
2012-01-0927.49000026.12000127.00000027.25000089700027.2500002.421900e+070.012635
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" + }, + "metadata": {}, + "execution_count": 19 + } + ], + "source": [ + "tesla['returns'] = (tesla['Close'] / tesla['Close'].shift(1) ) - 1\n", + "tesla.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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HighLowOpenCloseVolumeAdj CloseTotal Tradedreturns
Date
2012-01-0329.50000027.65000028.94000128.08000092810028.0800002.685921e+07NaN
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2012-01-0927.49000026.12000127.00000027.25000089700027.2500002.421900e+070.012635
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" + ], + "text/plain": [ + " High Low Open Close Volume Adj Close \\\n", + "Date \n", + "2012-01-03 29.500000 27.650000 28.940001 28.080000 928100 28.080000 \n", + "2012-01-04 28.670000 27.500000 28.209999 27.709999 630100 27.709999 \n", + "2012-01-05 27.930000 26.850000 27.760000 27.120001 1005500 27.120001 \n", + "2012-01-06 27.790001 26.410000 27.200001 26.910000 986300 26.910000 \n", + "2012-01-09 27.490000 26.120001 27.000000 27.250000 897000 27.250000 \n", + "\n", + " Total Traded returns \n", + "Date \n", + "2012-01-03 2.685921e+07 NaN \n", + "2012-01-04 1.777512e+07 -0.013177 \n", + "2012-01-05 2.791268e+07 -0.021292 \n", + "2012-01-06 2.682736e+07 -0.007743 \n", + "2012-01-09 2.421900e+07 0.012635 " + ] + }, + "execution_count": 29, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " High Low Open Close Volume Adj Close \\\n", + "Date \n", + "2012-01-03 29.500000 27.650000 28.940001 28.080000 928100 28.080000 \n", + "2012-01-04 28.670000 27.500000 28.209999 27.709999 630100 27.709999 \n", + "2012-01-05 27.930000 26.850000 27.760000 27.120001 1005500 27.120001 \n", + "2012-01-06 27.790001 26.410000 27.200001 26.910000 986300 26.910000 \n", + "2012-01-09 27.490000 26.120001 27.000000 27.250000 897000 27.250000 \n", + "\n", + " Total Traded returns \n", + "Date \n", + "2012-01-03 2.685921e+07 NaN \n", + "2012-01-04 1.777512e+07 -0.013177 \n", + "2012-01-05 2.791268e+07 -0.021292 \n", + "2012-01-06 2.682736e+07 -0.007743 \n", + "2012-01-09 2.421900e+07 0.012635 " + ], + "text/html": "
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HighLowOpenCloseVolumeAdj CloseTotal Tradedreturns
Date
2012-01-0329.50000027.65000028.94000128.08000092810028.0800002.685921e+07NaN
2012-01-0428.67000027.50000028.20999927.70999963010027.7099991.777512e+07-0.013177
2012-01-0527.93000026.85000027.76000027.120001100550027.1200012.791268e+07-0.021292
2012-01-0627.79000126.41000027.20000126.91000098630026.9100002.682736e+07-0.007743
2012-01-0927.49000026.12000127.00000027.25000089700027.2500002.421900e+070.012635
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" + }, + "metadata": {}, + "execution_count": 20 + } + ], + "source": [ + "# méthode 2: en utilisant pct_changes\n", + "tesla['returns'] = tesla['Close'].pct_change()\n", + "tesla.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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HighLowOpenCloseVolumeAdj CloseTotal Tradedreturns
Date
2012-01-0329.50000027.65000028.94000128.08000092810028.0800002.685921e+07NaN
2012-01-0428.67000027.50000028.20999927.70999963010027.7099991.777512e+07-0.013177
2012-01-0527.93000026.85000027.76000027.120001100550027.1200012.791268e+07-0.021292
2012-01-0627.79000126.41000027.20000126.91000098630026.9100002.682736e+07-0.007743
2012-01-0927.49000026.12000127.00000027.25000089700027.2500002.421900e+070.012635
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" + ], + "text/plain": [ + " High Low Open Close Volume Adj Close \\\n", + "Date \n", + "2012-01-03 29.500000 27.650000 28.940001 28.080000 928100 28.080000 \n", + "2012-01-04 28.670000 27.500000 28.209999 27.709999 630100 27.709999 \n", + "2012-01-05 27.930000 26.850000 27.760000 27.120001 1005500 27.120001 \n", + "2012-01-06 27.790001 26.410000 27.200001 26.910000 986300 26.910000 \n", + "2012-01-09 27.490000 26.120001 27.000000 27.250000 897000 27.250000 \n", + "\n", + " Total Traded returns \n", + "Date \n", + "2012-01-03 2.685921e+07 NaN \n", + "2012-01-04 1.777512e+07 -0.013177 \n", + "2012-01-05 2.791268e+07 -0.021292 \n", + "2012-01-06 2.682736e+07 -0.007743 \n", + "2012-01-09 2.421900e+07 0.012635 " + ] + }, + "execution_count": 31, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [], + "source": [ + "ford['returns'] = ford['Close'].pct_change(1)\n", + "gm['returns'] = gm['Close'].pct_change(1)" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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HighLowOpenCloseVolumeAdj CloseTotal Tradedreturns
Date
2012-01-0311.2510.9911.0011.1345709900.07.6730515.028089e+08NaN
2012-01-0411.5311.0711.1511.3079725200.07.7902518.889359e+080.015274
2012-01-0511.6311.2411.3311.5967877500.07.9901777.690521e+080.025664
2012-01-0611.8011.5211.7411.7159840700.08.0729037.025298e+080.010354
2012-01-0911.9511.7011.8311.8053981500.08.1349516.386011e+080.007686
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" + ], + "text/plain": [ + " High Low Open Close Volume Adj Close Total Traded \\\n", + "Date \n", + "2012-01-03 11.25 10.99 11.00 11.13 45709900.0 7.673051 5.028089e+08 \n", + "2012-01-04 11.53 11.07 11.15 11.30 79725200.0 7.790251 8.889359e+08 \n", + "2012-01-05 11.63 11.24 11.33 11.59 67877500.0 7.990177 7.690521e+08 \n", + "2012-01-06 11.80 11.52 11.74 11.71 59840700.0 8.072903 7.025298e+08 \n", + "2012-01-09 11.95 11.70 11.83 11.80 53981500.0 8.134951 6.386011e+08 \n", + "\n", + " returns \n", + "Date \n", + "2012-01-03 NaN \n", + "2012-01-04 0.015274 \n", + "2012-01-05 0.025664 \n", + "2012-01-06 0.010354 \n", + "2012-01-09 0.007686 " + ] + }, + "execution_count": 33, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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HighLowOpenCloseVolumeAdj CloseTotal TradedMA50MA200returns
Date
2012-01-0321.18000020.75000020.83000021.0499999321300.016.2997991.941627e+08NaNNaNNaN
2012-01-0421.37000120.75000021.04999921.1500007856700.016.3772321.653835e+08NaNNaN0.004751
2012-01-0522.29000120.95999921.10000022.17000017880600.017.1670593.772807e+08NaNNaN0.048227
2012-01-0623.03000122.24000022.26000022.92000018234500.017.7478124.059000e+08NaNNaN0.033829
2012-01-0923.43000022.70000123.20000122.84000012084500.017.6858622.803604e+08NaNNaN-0.003490
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" + ], + "text/plain": [ + " High Low Open Close Volume Adj Close \\\n", + "Date \n", + "2012-01-03 21.180000 20.750000 20.830000 21.049999 9321300.0 16.299799 \n", + "2012-01-04 21.370001 20.750000 21.049999 21.150000 7856700.0 16.377232 \n", + "2012-01-05 22.290001 20.959999 21.100000 22.170000 17880600.0 17.167059 \n", + "2012-01-06 23.030001 22.240000 22.260000 22.920000 18234500.0 17.747812 \n", + "2012-01-09 23.430000 22.700001 23.200001 22.840000 12084500.0 17.685862 \n", + "\n", + " Total Traded MA50 MA200 returns \n", + "Date \n", + "2012-01-03 1.941627e+08 NaN NaN NaN \n", + "2012-01-04 1.653835e+08 NaN NaN 0.004751 \n", + "2012-01-05 3.772807e+08 NaN NaN 0.048227 \n", + "2012-01-06 4.059000e+08 NaN NaN 0.033829 \n", + "2012-01-09 2.803604e+08 NaN NaN -0.003490 " + ] + }, + "execution_count": 34, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Maintenant, tracez un histogramme des rendements de chaque entreprise. Soit vous les faites séparément, soit vous les empilez les uns sur les autres. Quelle est l'action la plus \"volatile\"? (selon la variance des rendements quotidiens, nous discuterons de la volatilité de façon beaucoup plus détaillée dans les prochaines sections).**" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "" + ] + }, + "metadata": {}, + "execution_count": 22 + }, + { + "output_type": "display_data", + "data": { + "text/plain": "
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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ], + "source": [ + "tesla['returns'].hist(bins=100,label='Tesla',figsize=(10,8),alpha=0.5)\n", + "gm['returns'].hist(bins=100,label='GM',alpha=0.5)\n", + "ford['returns'].hist(bins=100,label='Ford',alpha=0.5)\n", + "plt.legend()" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 38, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ], + "source": [ + "tesla['returns'].plot(kind='kde',label='Tesla',figsize=(12,6))\n", + "gm['returns'].plot(kind='kde',label='GM')\n", + "ford['returns'].plot(kind='kde',label='Ford')\n", + "plt.legend()" + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 39, + "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": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Essayez aussi de créer des diagrammes en boîtes comparant les rendements.**" + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 40, + "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": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Comparaison des rendements quotidiens entre les actions\n", + "\n", + "**Créez un graphique matriciel de dispersion pour voir la corrélation entre les rendements quotidiens de chaque titre. Cela permet de répondre à la question de savoir dans quelle mesure les sociétés automobiles sont liées entre elles. Le marché considère-t-il Tesla comme une entreprise de technologie plutôt que comme une entreprise automobile ?**" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Il semble que Ford et GM aient une sorte de relation, traçons juste ces deux-là dans un diagramme de dispersion pour voir cela de plus près !**" + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 42, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "____\n", + "## Rendements quotidiens cumulatifs\n", + "\n", + "Super ! Nous pouvons maintenant voir quel titre a eu le plus grand écart de rendement quotidien (vous auriez dû vous rendre compte que c'était Tesla, notre graphique original du cours de l'action aurait dû aussi le montrer).\n", + "\n", + "Avec les rendements cumulatifs quotidiens, la question à laquelle nous essayons de répondre est la suivante: si j'avais investi 1$ dans l'entreprise au début de la série temporelle, combien vaudrait-elle aujourd'hui? Cette question est différente de celle du prix de l'action à la journée courante, car elle tiendra compte des rendements quotidiens. N'oubliez pas que notre simple calcul ici ne tiendra pas compte des actions qui redonnent un dividende. Examinons quelques exemples simples:" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Disons qu'il y a une action \"ABC\" qui est activement négociée en bourse. ABC a les prix suivants correspondant aux dates indiquées:" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + " Date Prix\n", + " 01/01/2018 10\n", + " 01/02/2018 15\n", + " 01/03/2018 20\n", + " 01/04/2018 25" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Rendement quotidien**: Le rendement quotidien est le profit ou perte réalisé par l'action par rapport à la veille. (C'est ce qu'on vient de calculer ci-dessus). Une valeur supérieure à 1 indique un profit, de même qu'une valeur inférieure à 1 indique une perte. Il est également exprimé en pourcentage pour mieux transmettre l'information. (Exprimé en pourcentage, si la valeur est supérieure à 0, le titre vous a donné un profit, sinon une perte). Ainsi, pour l'exemple ci-dessus, les rendements quotidiens seraient" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + " Date Rendement quotidien %Rendement quotidien\n", + " 01/01/2018 10/10 = 1 - \n", + " 01/02/2018 15/10 = 3/2 50%\n", + " 01/03/2018 20/15 = 4/3 33%\n", + " 01/04/2018 25/20 = 5/4 20%" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Rendement Cumulé**: Bien que les rendements quotidiens soient utiles, ils ne donnent pas à l'investisseur un aperçu immédiat des gains qu'il a réalisés jusqu'à présent, surtout si le titre est très volatil. Le rendement cumulatif est calculé par rapport au jour où l'investissement est effectué. Si le rendement cumulatif est supérieur à 1, vous faites des profits, sinon vous êtes en perte. Donc, pour l'exemple ci-dessus, les gains cumulatifs sont les suivants:" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + " Date Rendement cumulé %rendement cumulé\n", + " 01/01/2018 10/10 = 1 100 % \n", + " 01/02/2018 15/10 = 3/2 150 %\n", + " 01/03/2018 20/10 = 2 200 %\n", + " 01/04/2018 25/10 = 5/2 250 %" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "La formule pour un rendement quotidien cumulatif est la suivante :\n", + "\n", + "$ i_i = (1+r_t) * i_{t-1} $\n", + "\n", + "Ici, nous pouvons voir que nous ne faisons que multiplier notre investissement précédent à i à t-1 par 1+notre pourcentage de rendement. Pandas rend cela très simple à calculer avec sa méthode cumprod(). En utilisant quelque chose de la manière suivante :\n", + "\n", + " df[daily_cumulative_return] = (1 + df[pct_daily_return]).cumprod()\n", + " " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Créez une colonne de rendement quotidien cumulatif (cumulative daily return) pour le dataframe de chaque société automobile.**" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + " High Low Open Close Volume Adj Close \\\n", + "Date \n", + "2012-01-03 29.500000 27.650000 28.940001 28.080000 928100 28.080000 \n", + "2012-01-04 28.670000 27.500000 28.209999 27.709999 630100 27.709999 \n", + "2012-01-05 27.930000 26.850000 27.760000 27.120001 1005500 27.120001 \n", + "2012-01-06 27.790001 26.410000 27.200001 26.910000 986300 26.910000 \n", + "2012-01-09 27.490000 26.120001 27.000000 27.250000 897000 27.250000 \n", + "\n", + " Total Traded returns Cumulative Return \n", + "Date \n", + "2012-01-03 2.685921e+07 NaN NaN \n", + "2012-01-04 1.777512e+07 -0.013177 0.986823 \n", + "2012-01-05 2.791268e+07 -0.021292 0.965812 \n", + "2012-01-06 2.682736e+07 -0.007743 0.958333 \n", + "2012-01-09 2.421900e+07 0.012635 0.970442 " + ], + "text/html": "
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HighLowOpenCloseVolumeAdj CloseTotal TradedreturnsCumulative Return
Date
2012-01-0329.50000027.65000028.94000128.08000092810028.0800002.685921e+07NaNNaN
2012-01-0428.67000027.50000028.20999927.70999963010027.7099991.777512e+07-0.0131770.986823
2012-01-0527.93000026.85000027.76000027.120001100550027.1200012.791268e+07-0.0212920.965812
2012-01-0627.79000126.41000027.20000126.91000098630026.9100002.682736e+07-0.0077430.958333
2012-01-0927.49000026.12000127.00000027.25000089700027.2500002.421900e+070.0126350.970442
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" + }, + "metadata": {}, + "execution_count": 25 + } + ], + "source": [ + "tesla[\"Cumulative Return\"] = (1 + tesla[\"returns\"]).cumprod()\n", + "tesla.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 44, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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HighLowOpenCloseVolumeAdj CloseTotal TradedreturnsCumulative Return
Date
2012-01-0329.50000027.65000028.94000128.08000092810028.0800002.685921e+07NaNNaN
2012-01-0428.67000027.50000028.20999927.70999963010027.7099991.777512e+07-0.0131770.986823
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" + ], + "text/plain": [ + " High Low Open Close Volume Adj Close \\\n", + "Date \n", + "2012-01-03 29.500000 27.650000 28.940001 28.080000 928100 28.080000 \n", + "2012-01-04 28.670000 27.500000 28.209999 27.709999 630100 27.709999 \n", + "2012-01-05 27.930000 26.850000 27.760000 27.120001 1005500 27.120001 \n", + "2012-01-06 27.790001 26.410000 27.200001 26.910000 986300 26.910000 \n", + "2012-01-09 27.490000 26.120001 27.000000 27.250000 897000 27.250000 \n", + "\n", + " Total Traded returns Cumulative Return \n", + "Date \n", + "2012-01-03 2.685921e+07 NaN NaN \n", + "2012-01-04 1.777512e+07 -0.013177 0.986823 \n", + "2012-01-05 2.791268e+07 -0.021292 0.965812 \n", + "2012-01-06 2.682736e+07 -0.007743 0.958333 \n", + "2012-01-09 2.421900e+07 0.012635 0.970442 " + ] + }, + "execution_count": 44, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Tracez maintenant les colonnes de rendement cumulatif en fonction de l'index de la série temporelle. Quel titre a affiché le rendement le plus élevé pour un dollar investi? Lequel a affiché le rendement le plus faible?**" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [], + "source": [ + "ford[\"Cumulative Return\"] = (1 + ford[\"returns\"]).cumprod()\n", + "gm[\"Cumulative Return\"] = (1 + gm[\"returns\"]).cumprod()" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "" + ] + }, + "metadata": {}, + "execution_count": 27 + }, + { + "output_type": "display_data", + "data": { + "text/plain": "
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\n" + }, + "metadata": { + "needs_background": "light" + } + } + ], + "source": [ + "tesla['Cumulative Return'].plot(label='Tesla',figsize=(16,8),title='Cumulative Return')\n", + "gm['Cumulative Return'].plot(label='GM')\n", + "ford['Cumulative Return'].plot(label='Ford')\n", + "plt.legend()" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "'2014-09-04'" + ] + }, + "metadata": {}, + "execution_count": 28 + } + ], + "source": [ + "tesla['Cumulative Return'].idxmax()" + ] + }, + { + "cell_type": "code", + "execution_count": 46, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 46, + "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": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Bon travail!\n", + "\n", + "Voilà pour l'analyse de base, qui conclut cette moitié du cours, beaucoup plus axée sur l'apprentissage des outils du métier. La deuxième moitié du cours est celle où nous nous plongerons vraiment dans les fonctionnalités conçues pour les séries temporelles, l'analyse quantitative, le trading algorithmique, et bien plus encore!" + ] + } + ], + "metadata": { + "anaconda-cloud": {}, + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.8.5-final" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} \ No newline at end of file diff --git a/07-Projet-Analyse-Boursière/Tesla_Stock.csv b/07-Projet-Analyse-Boursière/Tesla_Stock.csv new file mode 100644 index 0000000..fc1761e --- /dev/null +++ b/07-Projet-Analyse-Boursière/Tesla_Stock.csv @@ -0,0 +1,1259 @@ +Date,High,Low,Open,Close,Volume,Adj Close +2012-01-03,29.5,27.649999618530273,28.940000534057617,28.079999923706055,928100,28.079999923706055 +2012-01-04,28.670000076293945,27.5,28.209999084472656,27.709999084472656,630100,27.709999084472656 +2012-01-05,27.93000030517578,26.850000381469727,27.760000228881836,27.1200008392334,1005500,27.1200008392334 +2012-01-06,27.790000915527344,26.40999984741211,27.200000762939453,26.90999984741211,986300,26.90999984741211 +2012-01-09,27.489999771118164,26.1200008392334,27.0,27.25,897000,27.25 +2012-01-10,27.760000228881836,27.25,27.440000534057617,27.6200008392334,671800,27.6200008392334 +2012-01-11,28.3799991607666,27.299999237060547,27.6200008392334,28.229999542236328,672300,28.229999542236328 +2012-01-12,28.6200008392334,27.809999465942383,28.479999542236328,28.25,729300,28.25 +2012-01-13,28.5,22.639999389648438,28.399999618530273,22.790000915527344,5500400,22.790000915527344 +2012-01-17,27.34000015258789,26.40999984741211,26.6200008392334,26.600000381469727,4651600,26.600000381469727 +2012-01-18,26.8799991607666,26.25,26.690000534057617,26.809999465942383,1260200,26.809999465942383 +2012-01-19,27.739999771118164,26.610000610351562,27.190000534057617,26.760000228881836,1246300,26.760000228881836 +2012-01-20,27.0,26.399999618530273,26.899999618530273,26.600000381469727,662300,26.600000381469727 +2012-01-23,27.209999084472656,26.600000381469727,26.809999465942383,26.770000457763672,594600,26.770000457763672 +2012-01-24,27.68000030517578,26.440000534057617,26.6299991607666,27.420000076293945,858000,27.420000076293945 +2012-01-25,28.010000228881836,27.049999237060547,27.270000457763672,27.969999313354492,611200,27.969999313354492 +2012-01-26,29.579999923706055,28.0,28.06999969482422,28.940000534057617,1271100,28.940000534057617 +2012-01-27,29.719999313354492,28.5,28.5,29.329999923706055,748400,29.329999923706055 +2012-01-30,29.610000610351562,28.530000686645508,29.489999771118164,29.56999969482422,729000,29.56999969482422 +2012-01-31,30.0,28.8700008392334,29.899999618530273,29.06999969482422,956400,29.06999969482422 +2012-02-01,29.700000762939453,29.0,29.06999969482422,29.579999923706055,523200,29.579999923706055 +2012-02-02,30.8799991607666,29.610000610351562,29.719999313354492,30.25,805700,30.25 +2012-02-03,31.329999923706055,30.25,30.40999984741211,31.149999618530273,764500,31.149999618530273 +2012-02-06,31.899999618530273,31.049999237060547,31.100000381469727,31.799999237060547,652100,31.799999237060547 +2012-02-07,31.799999237060547,30.81999969482422,31.799999237060547,31.600000381469727,1021600,31.600000381469727 +2012-02-08,32.0099983215332,31.290000915527344,31.600000381469727,31.93000030517578,623700,31.93000030517578 +2012-02-09,32.900001525878906,31.43000030517578,32.0,32.58000183105469,1277100,32.58000183105469 +2012-02-10,32.27000045776367,29.84000015258789,32.2599983215332,31.100000381469727,1874200,31.100000381469727 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a/08-Analyse-Time-Series/.ipynb_checkpoints/1-Introduction-à-Statsmodels-checkpoint.ipynb b/08-Analyse-Time-Series/.ipynb_checkpoints/1-Introduction-à-Statsmodels-checkpoint.ipynb new file mode 100644 index 0000000..b11b9c7 --- /dev/null +++ b/08-Analyse-Time-Series/.ipynb_checkpoints/1-Introduction-à-Statsmodels-checkpoint.ipynb @@ -0,0 +1,708 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "___\n", + "\n", + " \n", + "___\n", + "
*Copyright Pierian Data 2017*
\n", + "
*For more information, visit us at www.pieriandata.com*
" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Introduction to Statsmodels\n", + "\n", + "Statsmodels is a Python module that provides classes and functions for the estimation of many different statistical models, as well as for conducting statistical tests, and statistical data exploration. An extensive list of result statistics are available for each estimator. The results are tested against existing statistical packages to ensure that they are correct. The package is released under the open source Modified BSD (3-clause) license. The online documentation is hosted at statsmodels.org.\n", + "\n", + "The reason we will cover it for use in this course, is that you may find it very useful later on when discussing time series data (typical of quantitative financial analysis).\n", + "\n", + "Let's walk through a very simple example of using statsmodels!" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "import numpy as np\n", + "import pandas as pd\n", + "import matplotlib.pyplot as plt\n", + "%matplotlib inline" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# You can safely ignore the warning:\n", + "# Please use the pandas.tseries module instead. from pandas.core import datetools\n", + "import statsmodels.api as sm" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "df = sm.datasets.macrodata.load_pandas().data" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "::\n", + " Number of Observations - 203\n", + "\n", + " Number of Variables - 14\n", + "\n", + " Variable name definitions::\n", + "\n", + " year - 1959q1 - 2009q3\n", + " quarter - 1-4\n", + " realgdp - Real gross domestic product (Bil. of chained 2005 US$,\n", + " seasonally adjusted annual rate)\n", + " realcons - Real personal consumption expenditures (Bil. of chained\n", + " 2005 US$, seasonally adjusted annual rate)\n", + " realinv - Real gross private domestic investment (Bil. of chained\n", + " 2005 US$, seasonally adjusted annual rate)\n", + " realgovt - Real federal consumption expenditures & gross investment\n", + " (Bil. of chained 2005 US$, seasonally adjusted annual rate)\n", + " realdpi - Real private disposable income (Bil. of chained 2005\n", + " US$, seasonally adjusted annual rate)\n", + " cpi - End of the quarter consumer price index for all urban\n", + " consumers: all items (1982-84 = 100, seasonally adjusted).\n", + " m1 - End of the quarter M1 nominal money stock (Seasonally\n", + " adjusted)\n", + " tbilrate - Quarterly monthly average of the monthly 3-month\n", + " treasury bill: secondary market rate\n", + " unemp - Seasonally adjusted unemployment rate (%)\n", + " pop - End of the quarter total population: all ages incl. armed\n", + " forces over seas\n", + " infl - Inflation rate (ln(cpi_{t}/cpi_{t-1}) * 400)\n", + " realint - Real interest rate (tbilrate - infl)\n", + "\n" + ] + } + ], + "source": [ + "print(sm.datasets.macrodata.NOTE)" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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01959.01.02710.3491707.4286.898470.0451886.928.98139.72.825.8177.1460.000.00
11959.02.02778.8011733.7310.859481.3011919.729.15141.73.085.1177.8302.340.74
21959.03.02775.4881751.8289.226491.2601916.429.35140.53.825.3178.6572.741.09
31959.04.02785.2041753.7299.356484.0521931.329.37140.04.335.6179.3860.274.06
41960.01.02847.6991770.5331.722462.1991955.529.54139.63.505.2180.0072.311.19
\n", + "
" + ], + "text/plain": [ + " year quarter realgdp realcons realinv realgovt realdpi cpi \\\n", + "0 1959.0 1.0 2710.349 1707.4 286.898 470.045 1886.9 28.98 \n", + "1 1959.0 2.0 2778.801 1733.7 310.859 481.301 1919.7 29.15 \n", + "2 1959.0 3.0 2775.488 1751.8 289.226 491.260 1916.4 29.35 \n", + "3 1959.0 4.0 2785.204 1753.7 299.356 484.052 1931.3 29.37 \n", + "4 1960.0 1.0 2847.699 1770.5 331.722 462.199 1955.5 29.54 \n", + "\n", + " m1 tbilrate unemp pop infl realint \n", + "0 139.7 2.82 5.8 177.146 0.00 0.00 \n", + "1 141.7 3.08 5.1 177.830 2.34 0.74 \n", + "2 140.5 3.82 5.3 178.657 2.74 1.09 \n", + "3 140.0 4.33 5.6 179.386 0.27 4.06 \n", + "4 139.6 3.50 5.2 180.007 2.31 1.19 " + ] + }, + "execution_count": 21, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "index = pd.Index(sm.tsa.datetools.dates_from_range('1959Q1', '2009Q3'))" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "df.index = index" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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yearquarterrealgdprealconsrealinvrealgovtrealdpicpim1tbilrateunemppopinflrealint
1959-03-311959.01.02710.3491707.4286.898470.0451886.928.98139.72.825.8177.1460.000.00
1959-06-301959.02.02778.8011733.7310.859481.3011919.729.15141.73.085.1177.8302.340.74
1959-09-301959.03.02775.4881751.8289.226491.2601916.429.35140.53.825.3178.6572.741.09
1959-12-311959.04.02785.2041753.7299.356484.0521931.329.37140.04.335.6179.3860.274.06
1960-03-311960.01.02847.6991770.5331.722462.1991955.529.54139.63.505.2180.0072.311.19
\n", + "
" + ], + "text/plain": [ + " year quarter realgdp realcons realinv realgovt realdpi \\\n", + "1959-03-31 1959.0 1.0 2710.349 1707.4 286.898 470.045 1886.9 \n", + "1959-06-30 1959.0 2.0 2778.801 1733.7 310.859 481.301 1919.7 \n", + "1959-09-30 1959.0 3.0 2775.488 1751.8 289.226 491.260 1916.4 \n", + "1959-12-31 1959.0 4.0 2785.204 1753.7 299.356 484.052 1931.3 \n", + "1960-03-31 1960.0 1.0 2847.699 1770.5 331.722 462.199 1955.5 \n", + "\n", + " cpi m1 tbilrate unemp pop infl realint \n", + "1959-03-31 28.98 139.7 2.82 5.8 177.146 0.00 0.00 \n", + "1959-06-30 29.15 141.7 3.08 5.1 177.830 2.34 0.74 \n", + "1959-09-30 29.35 140.5 3.82 5.3 178.657 2.74 1.09 \n", + "1959-12-31 29.37 140.0 4.33 5.6 179.386 0.27 4.06 \n", + "1960-03-31 29.54 139.6 3.50 5.2 180.007 2.31 1.19 " + ] + }, + "execution_count": 24, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [ + { 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XJ69+n8B+2vnAXODSg54n3/sZEur3Fey+8Ja/3uuPxcBjkdIXteiH\nM4GZh3meqOgHIBV4w/s85AP3RUo/1KIvsoHlBA6ef0jgascR0RcEdpk7AiNR53s/FxEYXTYNWOm9\n5/Rq6zxIYBTacuDC2vaFriAgIiJBF5G70UREpGFR2IiISNApbEREJOgUNiIiEnQKGxERCTqFjYiI\nBJ3CRkREgk5hIyIiQff/N5q1+nuHm0EAAAAASUVORK5CYII=\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "df['realgdp'].plot()\n", + "plt.ylabel(\"REAL GDP\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Using Statsmodels to get the trend\n", + "The Hodrick-Prescott filter separates a time-series y_t into a trend τ_t and a cyclical component ζt\n", + "\n", + "$y_t = \\tau_t + \\zeta_t$\n", + "\n", + "The components are determined by minimizing the following quadratic loss function\n", + "\n", + "$\\min_{\\\\{ \\tau_{t}\\\\} }\\sum_{t}^{T}\\zeta_{t}^{2}+\\lambda\\sum_{t=1}^{T}\\left[\\left(\\tau_{t}-\\tau_{t-1}\\right)-\\left(\\tau_{t-1}-\\tau_{t-2}\\right)\\right]^{2}$" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# Tuple unpacking\n", + "gdp_cycle, gdp_trend = sm.tsa.filters.hpfilter(df.realgdp)" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "1959-03-31 39.511915\n", + "1959-06-30 80.088532\n", + "1959-09-30 48.875455\n", + "1959-12-31 30.591933\n", + "1960-03-31 64.882667\n", + "1960-06-30 23.040242\n", + "1960-09-30 -1.355312\n", + "1960-12-31 -67.462365\n", + "1961-03-31 -81.367438\n", + "1961-06-30 -60.167890\n", + "1961-09-30 -46.369224\n", + "1961-12-31 -20.695339\n", + "1962-03-31 -2.162153\n", + "1962-06-30 -4.718648\n", + "1962-09-30 -13.556457\n", + "1962-12-31 -44.369262\n", + "1963-03-31 -43.320274\n", + "1963-06-30 -44.546971\n", + "1963-09-30 -26.298758\n", + "1963-12-31 -44.261196\n", + "1964-03-31 -14.434412\n", + "1964-06-30 -20.266867\n", + "1964-09-30 -19.137001\n", + "1964-12-31 -54.824590\n", + "1965-03-31 -15.962445\n", + "1965-06-30 -13.740115\n", + "1965-09-30 13.254828\n", + "1965-12-31 56.030402\n", + "1966-03-31 103.074337\n", + "1966-06-30 72.175348\n", + " ... \n", + "2002-06-30 -95.260035\n", + "2002-09-30 -114.798768\n", + "2002-12-31 -190.025905\n", + "2003-03-31 -221.225647\n", + "2003-06-30 -207.139428\n", + "2003-09-30 -89.685415\n", + "2003-12-31 -61.895316\n", + "2004-03-31 -56.628782\n", + "2004-06-30 -49.616781\n", + "2004-09-30 -38.362890\n", + "2004-12-31 -8.956672\n", + "2005-03-31 39.070285\n", + "2005-06-30 18.652990\n", + "2005-09-30 42.798035\n", + "2005-12-31 39.627354\n", + "2006-03-31 141.269129\n", + "2006-06-30 125.653779\n", + "2006-09-30 70.676428\n", + "2006-12-31 110.887665\n", + "2007-03-31 99.564908\n", + "2007-06-30 157.161271\n", + "2007-09-30 231.874638\n", + "2007-12-31 263.554667\n", + "2008-03-31 204.422097\n", + "2008-06-30 221.373942\n", + "2008-09-30 102.018455\n", + "2008-12-31 -107.269472\n", + "2009-03-31 -349.047706\n", + "2009-06-30 -397.557073\n", + "2009-09-30 -333.115243\n", + "Name: realgdp, Length: 203, dtype: float64" + ] + }, + "execution_count": 31, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "gdp_cycle" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "pandas.core.series.Series" + ] + }, + "execution_count": 29, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "type(gdp_cycle)" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "df[\"trend\"] = gdp_trend" + ] + }, + { + "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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k8KQdhak3wv7V0PM56PJwka7MkJdnWBR1mK+W72b17kTcXJzo17waozvUomVN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\n+e1aCZ8Mg+xjcPWn0KRv0dsUERERKSIFawmILfuPMSY+gYT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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "df[['trend','realgdp']][\"2000-03-31\":].plot(figsize=(12,8))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Great job!" + ] + } + ], + "metadata": { + "anaconda-cloud": {}, + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.6.1" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/08-Analyse-Time-Series/.ipynb_checkpoints/2-EWMA-Moyennes-mobiles-pondérées-exponentiellement-checkpoint.ipynb b/08-Analyse-Time-Series/.ipynb_checkpoints/2-EWMA-Moyennes-mobiles-pondérées-exponentiellement-checkpoint.ipynb new file mode 100644 index 0000000..98aa414 --- /dev/null +++ b/08-Analyse-Time-Series/.ipynb_checkpoints/2-EWMA-Moyennes-mobiles-pondérées-exponentiellement-checkpoint.ipynb @@ -0,0 +1,445 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "___\n", + "\n", + " \n", + "___\n", + "
*Copyright Pierian Data 2017*
\n", + "
*For more information, visit us at www.pieriandata.com*
" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "import pandas as pd\n", + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "%matplotlib inline" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "airline = pd.read_csv('airline_passengers.csv',index_col=\"Month\")" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "airline.dropna(inplace=True)\n", + "airline.index = pd.to_datetime(airline.index)" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
\n", + "\n", + "\n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + "
Thousands of Passengers
Month
1949-01-01112.0
1949-02-01118.0
1949-03-01132.0
1949-04-01129.0
1949-05-01121.0
\n", + "
" + ], + "text/plain": [ + " Thousands of Passengers\n", + "Month \n", + "1949-01-01 112.0\n", + "1949-02-01 118.0\n", + "1949-03-01 132.0\n", + "1949-04-01 129.0\n", + "1949-05-01 121.0" + ] + }, + "execution_count": 22, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "airline.head()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# SMA\n", + "## Simple Moving Average\n", + "\n", + "We've already shown how to create a simple moving average, for a quick review:" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "airline['6-month-SMA']=airline['Thousands of Passengers'].rolling(window=6).mean()\n", + "airline['12-month-SMA']=airline['Thousands of Passengers'].rolling(window=12).mean()" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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Thousands of Passengers6-month-SMA12-month-SMA
Month
1949-01-01112.0NaNNaN
1949-02-01118.0NaNNaN
1949-03-01132.0NaNNaN
1949-04-01129.0NaNNaN
1949-05-01121.0NaNNaN
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" + ], + "text/plain": [ + " Thousands of Passengers 6-month-SMA 12-month-SMA\n", + "Month \n", + "1949-01-01 112.0 NaN NaN\n", + "1949-02-01 118.0 NaN NaN\n", + "1949-03-01 132.0 NaN NaN\n", + "1949-04-01 129.0 NaN NaN\n", + "1949-05-01 121.0 NaN NaN" + ] + }, + "execution_count": 24, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "airline.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 25, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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c2Q8xyaoUsQsJYTW59JcDZpuZTSc3sfToUhqLNPQSieSCxyHs5fTo7amO1Rar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\nk5HHN7HmWB7X9vfjRGYxeaXVTI30ukQLFEW5EqlA3wqbz+QR5GZLsEf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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "airline.plot()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# EWMA\n", + "## Exponentially-weighted moving average \n", + "\n", + "We just showed how to calculate the SMA based on some window.However, basic SMA has some \"weaknesses\".\n", + "* Smaller windows will lead to more noise, rather than signal\n", + "* It will always lag by the size of the window\n", + "* It will never reach to full peak or valley of the data due to the averaging.\n", + "* Does not really inform you about possible future behaviour, all it really does is describe trends in your data.\n", + "* Extreme historical values can skew your SMA significantly\n", + "\n", + "To help fix some of these issues, we can use an EWMA (Exponentially-weighted moving average)." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "EWMA will allow us to reduce the lag effect from SMA and it will put more weight on values that occured more recently (by applying more weight to the more recent values, thus the name). The amount of weight applied to the most recent values will depend on the actual parameters used in the EWMA and the number of periods given a window size.\n", + "[Full details on Mathematics behind this can be found here](http://pandas.pydata.org/pandas-docs/stable/computation.html#exponentially-weighted-windows)\n", + "Here is the shorter version of the explanation behind EWMA.\n", + "\n", + "The formula for EWMA is:" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "$ y_t = \\frac{\\sum\\limits_{i=0}^t w_i x_{t-i}}{\\sum\\limits_{i=0}^t w_i} $" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Where x_t is the input value, w_i is the applied weight (Note how it can change from i=0 to t), and y_t is the output.\n", + "\n", + "Now the question is, how to we define the weight term w_i ?\n", + "\n", + "This depends on the adjust parameter you provide to the .ewm() method.\n", + "\n", + "When adjust is True (default), weighted averages are calculated using weights:\n", + "\n", + "### $y_t = \\frac{x_t + (1 - \\alpha)x_{t-1} + (1 - \\alpha)^2 x_{t-2} + ...\n", + "+ (1 - \\alpha)^t x_{0}}{1 + (1 - \\alpha) + (1 - \\alpha)^2 + ...\n", + "+ (1 - \\alpha)^t}$" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "When adjust=False is specified, moving averages are calculated as:\n", + "\n", + "### $\\begin{split}y_0 &= x_0 \\\\\n", + "y_t &= (1 - \\alpha) y_{t-1} + \\alpha x_t,\\end{split}$\n", + "\n", + "which is equivalent to using weights:\n", + "\n", + " \\begin{split}w_i = \\begin{cases}\n", + " \\alpha (1 - \\alpha)^i & \\text{if } i < t \\\\\n", + " (1 - \\alpha)^i & \\text{if } i = t.\n", + "\\end{cases}\\end{split}" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "When adjust=True we have y0=x0 and from the last representation above we have yt=αxt+(1−α)yt−1, therefore there is an assumption that x0 is not an ordinary value but rather an exponentially weighted moment of the infinite series up to that point.\n", + "\n", + "One must have 0<α≤1, and while since version 0.18.0 it has been possible to pass α directly, it’s often easier to think about either the span, center of mass (com) or half-life of an EW moment:" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\\begin{split}\\alpha =\n", + " \\begin{cases}\n", + " \\frac{2}{s + 1}, & \\text{for span}\\ s \\geq 1\\\\\n", + " \\frac{1}{1 + c}, & \\text{for center of mass}\\ c \\geq 0\\\\\n", + " 1 - \\exp^{\\frac{\\log 0.5}{h}}, & \\text{for half-life}\\ h > 0\n", + " \\end{cases}\\end{split}" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "* Span corresponds to what is commonly called an “N-day EW moving average”.\n", + "* Center of mass has a more physical interpretation and can be thought of in terms of span: c=(s−1)/2\n", + "* Half-life is the period of time for the exponential weight to reduce to one half.\n", + "* Alpha specifies the smoothing factor directly." + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "airline['EWMA12'] = airline['Thousands of Passengers'].ewm(span=12).mean()" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 32, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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PKa9v1gy1lPD8cZrBdwVfS1G1JjGckxQOC+dCbXFbA5Eekhyt3ey8Hr13zJ6g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\n8E1FUbE+J3+xarV7eltn8fG/OeNQTXXiOgVgs5v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That is all for now, let's move on to ARIMA modeling!" + ] + } + ], + "metadata": { + "anaconda-cloud": {}, + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.6.1" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/08-Analyse-Time-Series/.ipynb_checkpoints/3-Décomposition-ETS-checkpoint.ipynb b/08-Analyse-Time-Series/.ipynb_checkpoints/3-Décomposition-ETS-checkpoint.ipynb new file mode 100644 index 0000000..67fed3a --- /dev/null +++ b/08-Analyse-Time-Series/.ipynb_checkpoints/3-Décomposition-ETS-checkpoint.ipynb @@ -0,0 +1,324 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "___\n", + "\n", + " \n", + "___\n", + "
*Copyright Pierian Data 2017*
\n", + "
*For more information, visit us at www.pieriandata.com*
" + ] + }, + { + "cell_type": "code", + "execution_count": 45, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "import pandas as pd\n", + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "%matplotlib inline" + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "airline = pd.read_csv('airline_passengers.csv',index_col=\"Month\")" + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/html": [ + "
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" + ], + "text/plain": [ + " Thousands of Passengers\n", + "Month \n", + "1949-01 112.0\n", + "1949-02 118.0\n", + "1949-03 132.0\n", + "1949-04 129.0\n", + "1949-05 121.0" + ] + }, + "execution_count": 40, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "airline.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 41, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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03ojAuPHWtEc+KjD6Kp+/JJfrzygmPs7ChigDQUaSDUdCXDgQDC/5oJQKjwpK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\n4HNnzzPtWEKcSCIOBEqpFOBx4Gta657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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "airline.plot()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## ETS\n", + "\n", + "We can use an additive model when it seems that the trend is more linear and the seasonality and trend components seem to be constant over time (e.g. every year we add 10,000 passengers). A multiplicative model is more appropriate when we are increasing (or decreasing) at a non-linear rate (e.g. each year we double the amount of passengers).\n", + "\n", + "Based off this chart, it looks like the trend in these earlier days is slightly increasing at a higher rate than just linear (although it is a bit hard to tell from this one plot)." + ] + }, + { + "cell_type": "code", + "execution_count": 51, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "# Get data in correct format\n", + "airline.dropna(inplace=True)\n", + "airline.index = pd.to_datetime(airline.index)" + ] + }, + { + "cell_type": "code", + "execution_count": 52, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/html": [ + "
\n", + "\n", + "\n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + "
Thousands of Passengers
Month
1949-01-01112.0
1949-02-01118.0
1949-03-01132.0
1949-04-01129.0
1949-05-01121.0
\n", + "
" + ], + "text/plain": [ + " Thousands of Passengers\n", + "Month \n", + "1949-01-01 112.0\n", + "1949-02-01 118.0\n", + "1949-03-01 132.0\n", + "1949-04-01 129.0\n", + "1949-05-01 121.0" + ] + }, + "execution_count": 52, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "airline.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 58, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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v07NTuOyIEs5fVDTsVtOBYIhX1jXxlw920GRxM7fQzDXLpmNK0ELpfLxdi4mb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+ "text/plain": [ + "" + ] + }, + "execution_count": 58, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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v07NTuOyIEs5fVDTsVtOBYIhX1jXxlw920GRxM7fQzDXLpmNK0ELpfLxdi4mb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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from statsmodels.tsa.seasonal import seasonal_decompose\n", + "result = seasonal_decompose(airline['Thousands of Passengers'], model='multiplicative')\n", + "result.plot()" + ] + }, + { + "cell_type": "code", + "execution_count": 59, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# You may accidentally see two of the same plots here, not to worry,\n", + "# just a small bug with statsmodels function." + ] + } + ], + "metadata": { + "anaconda-cloud": {}, + "kernelspec": { + "display_name": "Python [default]", + "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": "3.5.3" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/08-Analyse-Time-Series/.ipynb_checkpoints/4-ARIMA-et-ARIMA-Saisonnier-checkpoint.ipynb b/08-Analyse-Time-Series/.ipynb_checkpoints/4-ARIMA-et-ARIMA-Saisonnier-checkpoint.ipynb new file mode 100644 index 0000000..4679fc7 --- /dev/null +++ b/08-Analyse-Time-Series/.ipynb_checkpoints/4-ARIMA-et-ARIMA-Saisonnier-checkpoint.ipynb @@ -0,0 +1,2462 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "___\n", + "\n", + " \n", + "___\n", + "
*Copyright Pierian Data 2017*
\n", + "
*For more information, visit us at www.pieriandata.com*
" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Warning! This is a complicated topic! Remember that this is an optional notebook to go through and that to fully understand it you should read the supplemental links and watch the full explanatory walkthrough video. This notebook and the video lectures are not meant to be a full comprehensive overview of ARIMA, but instead a walkthrough of what you can use it for, so you can later understand why it may or may not be a good choice for Financial Stock Data.\n", + "____\n", + "\n", + "\n", + "# ARIMA and Seasonal ARIMA\n", + "\n", + "\n", + "## Autoregressive Integrated Moving Averages\n", + "\n", + "The general process for ARIMA models is the following:\n", + "* Visualize the Time Series Data\n", + "* Make the time series data stationary\n", + "* Plot the Correlation and AutoCorrelation Charts\n", + "* Construct the ARIMA Model\n", + "* Use the model to make predictions\n", + "\n", + "Let's go through these steps!" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Step 1: Get the Data (and format it)\n", + "\n", + "We will be using some data about monthly milk production, full details on it can be found [here](https://datamarket.com/data/set/22ox/monthly-milk-production-pounds-per-cow-jan-62-dec-75#!ds=22ox&display=line).\n", + "\n", + "Its saved as a csv for you already, let's load it up:" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "C:\\Users\\Marcial\\Anaconda3\\lib\\site-packages\\statsmodels\\compat\\pandas.py:56: FutureWarning: The pandas.core.datetools module is deprecated and will be removed in a future version. Please use the pandas.tseries module instead.\n", + " from pandas.core import datetools\n" + ] + } + ], + "source": [ + "import numpy as np\n", + "import pandas as pd\n", + "import statsmodels.api as sm\n", + "\n", + "import matplotlib.pyplot as plt\n", + "%matplotlib inline" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "df = pd.read_csv('monthly-milk-production-pounds-p.csv')" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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MonthMonthly milk production: pounds per cow. Jan 62 ? Dec 75
01962-01589.0
11962-02561.0
21962-03640.0
31962-04656.0
41962-05727.0
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" + ], + "text/plain": [ + " Month Monthly milk production: pounds per cow. Jan 62 ? Dec 75\n", + "0 1962-01 589.0 \n", + "1 1962-02 561.0 \n", + "2 1962-03 640.0 \n", + "3 1962-04 656.0 \n", + "4 1962-05 727.0 " + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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MonthMonthly milk production: pounds per cow. Jan 62 ? Dec 75
1641975-09817.0
1651975-10827.0
1661975-11797.0
1671975-12843.0
168Monthly milk production: pounds per cow. Jan 6...NaN
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" + ], + "text/plain": [ + " Month \\\n", + "164 1975-09 \n", + "165 1975-10 \n", + "166 1975-11 \n", + "167 1975-12 \n", + "168 Monthly milk production: pounds per cow. Jan 6... \n", + "\n", + " Monthly milk production: pounds per cow. Jan 62 ? Dec 75 \n", + "164 817.0 \n", + "165 827.0 \n", + "166 797.0 \n", + "167 843.0 \n", + "168 NaN " + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df.tail()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "** Clean Up**\n", + "\n", + "Let's clean this up just a little!" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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MonthMilk in pounds per cow
01962-01589.0
11962-02561.0
21962-03640.0
31962-04656.0
41962-05727.0
\n", + "
" + ], + "text/plain": [ + " Month Milk in pounds per cow\n", + "0 1962-01 589.0\n", + "1 1962-02 561.0\n", + "2 1962-03 640.0\n", + "3 1962-04 656.0\n", + "4 1962-05 727.0" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df.columns = ['Month','Milk in pounds per cow']\n", + "df.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# Weird last value at bottom causing issues\n", + "df.drop(168,axis=0,inplace=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "df['Month'] = pd.to_datetime(df['Month'])" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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MonthMilk in pounds per cow
01962-01-01589.0
11962-02-01561.0
21962-03-01640.0
31962-04-01656.0
41962-05-01727.0
\n", + "
" + ], + "text/plain": [ + " Month Milk in pounds per cow\n", + "0 1962-01-01 589.0\n", + "1 1962-02-01 561.0\n", + "2 1962-03-01 640.0\n", + "3 1962-04-01 656.0\n", + "4 1962-05-01 727.0" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "df.set_index('Month',inplace=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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Milk in pounds per cow
Month
1962-01-01589.0
1962-02-01561.0
1962-03-01640.0
1962-04-01656.0
1962-05-01727.0
\n", + "
" + ], + "text/plain": [ + " Milk in pounds per cow\n", + "Month \n", + "1962-01-01 589.0\n", + "1962-02-01 561.0\n", + "1962-03-01 640.0\n", + "1962-04-01 656.0\n", + "1962-05-01 727.0" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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countmeanstdmin25%50%75%max
Milk in pounds per cow168.0754.708333102.204524553.0677.75761.0824.5969.0
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" + ], + "text/plain": [ + " count mean std min 25% 50% \\\n", + "Milk in pounds per cow 168.0 754.708333 102.204524 553.0 677.75 761.0 \n", + "\n", + " 75% max \n", + "Milk in pounds per cow 824.5 969.0 " + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df.describe().transpose()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Step 2: Visualize the Data\n", + "\n", + "Let's visualize this data with a few methods." + ] + }, + { + "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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t0mlFMi8gLOvzDCPdpGq0Vq3YbQQDIX0DqrNFNhhcuwbd63fpkiD0SB96N0oB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\nVMFiTuiKXcAaHug55yDLO9AXyg2B2DIbYZbRqzT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7gmy/WP0iwapgrs2+dtLxqOAo4kLiqDT6LgIbjm3A5rRx++Lbpz2frE3GEGTw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\nwfT3awu9J0P8VIgeJd9zKyZJQLgucw+k/gXSV5vP3n6gvKC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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "timeseries.rolling(12).mean().plot(label='12 Month Rolling Mean')\n", + "timeseries.rolling(12).std().plot(label='12 Month Rolling Std')\n", + "timeseries.plot()\n", + "plt.legend()" + ] + }, + { + "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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LEn2l6CljBr3O8LINiGBkam4EWSsGpY/0wsgqiV0G0ytBSDdAZ3Mtf9/ey/Nf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\nO8wpLeK+jWtZd14N/HaTvaCnzZNH7yOk5F0dG6u0rhufdxt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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "timeseries.rolling(12).mean().plot(label='12 Month Rolling Mean')\n", + "timeseries.plot()\n", + "plt.legend()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Decomposition\n", + "\n", + "ETS decomposition allows us to see the individual parts!" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "image/png": 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l26JkU50Gd7Zn+ezerHm8P0deGcFr4wIIcLZEkiQCnC359ZG+5JVW88Dy41eq\nSk6lXWT18QweHuBBgHPLGpyp+s6fJsvyKMAe8JdleZAsy2lNPUCSpI7AM0BvWZa7Ano07It+Fdgj\ny3JnYM+l/0aSpMBL3+8CjAW+lSRJe5sIBEEQrvLv2Wy2Rl1gW9QFJn59mAeWH+NwQr7Ol1u2hfic\nUtafPs/sEHdcblKq18vdhrt6dOSnwymcv6i9Jjbq8uOhZCyM9ZnRt/kuyj4O5jw7qjPbo7PZFnV7\nFGfV1iv5cnc8hnoKlX4GVzMx1OODu7qRWlDRorEf2rY/LpeHfjmBQiHx+5x+fDOzJ85Wt16qKkkN\nN1d8HMyZvzqczKLKNoi2ZQrKqtkUkXnT96/w9ItU1NRrdH/z9Z4a7oOXvRmvb4hqk4Z7FTV1PPbb\nSTZHZvHqOH9eGx9wZcvFoM52rHikL7kl1Uz/IZSVYWkY6SsY4qvdfZxX6+1hw9whXuyLy2VFaCob\nI7LYH59LZEYR26OzefbPCOqbKWUurqzl3mVHefqPcMyN9Pnj0X78+GBvOjtasOjOLqQVVNzQYVhb\n+5uvpqeQeGmMHyn55fx18nybnHPl0TQWrAmnR6cOrJnbH3sLIwD6eNgwoZszPxxIvmacXlhyAX08\nbG7ppllbkiSJd6d05eSbo4l7byyHXh7OunkhLJ3Zgw6mhixYE97kyvOhhDx+PpLC7BB3/je56w1z\nqSVJ4rXx/uSVVrP8UMNrIqOwksyiSq1VH9zMyADHmybzPd06sOyB3qTkl/PQLycorqzlzY3ROFka\n8+xo3xZfS9W//RRJkpYB/YGWDKrUB0wkSdIHTIEsYDKw4tL3VwBTLv3/ycAaWZarZVlOARKBvi24\nliAIgloolTJf7k7Ay86M46+P4pWx/sRmlzJr+TEmfn240QYat5NPd8ZhZqjPk8N8mjzupTF+KCT4\naEechiLTjIzCCrZHXWBmPzfMjVTrvvn4YC+6dbTirU3RXFTTPk1NSckv5+7vQtly5gJzh3phZ27U\n4nMM9LFjei9XfjiYTKSOjJZpzvaobCyM9dn2zOA2X3k1M9Ln+1m9qKlT8uTvpzQ+p/eNDdEsWBPB\n1pvc2DmcmI+eQtJqsmRsoMfiqUGcv1jJF7vir/leZU09myOzmL86XKUtAFW19Ty4/DiHEvJYPLUb\n84Z633BMX08bfn+0H8UVtWyPzmaQjx2mhqp329WE18YHkPzBeOLeG0fkojs49voo9r80nA+ndiM8\nvYjfj96s6qTsAAAgAElEQVR8TUuWZd7YEMXptIt8cFc3tj4zmAE+//+6HuJrzx2Bjizdm3hNwhia\nVICPgzkOFsZqfW7NGRngQC/3Dny1J57Kmlv7fdl65gILN0Yzws+B3+b0xdL42u74r4z1p14p8+m/\nDf+W5ZZWkZhbphP7mxtjpK9HJxtTenvYMDHIha9mdCejsIK3NkY3evzF8hpe/CsSHwdzXhsfcNPz\n9nK34Y5AR344mExBWTVhyQ2/a7r6c7iZQZ3t+HpmD6Iyi7njiwOcu1DCojsDVf73/GqqJs7+wG4a\nSrZTJElaKknSoKYeIMtyJvApkE7DfuhiWZb/BRxlWb78Tp0NXK6D6QhcXUh//tLXriFJ0uOSJJ2U\nJOlkXp76ZpgJgiBctjMmm9jsUuaP9KGDmSFPDPPm0MvDWTy1G5U19cxdeeq2Ld8+nX6Rf8/m8PgQ\nLzo0MrP3ai7WJjw+2It/IrM4lXZRQxGqV3FlLW9sjEZPIfHwAE+VH6evp+Dju4Moqqjl3S3ta3bv\nZbIs8+eJdCYsOURqQQXf3t+TF+7wa/X53pwQiJOlMU/9cVrnu2zLssyB+DwGd7a7YSWmrXjZm/Pp\n9GAizxfzzj+ae41EZBSxIyYbQz0FH2w91+hq7sGEfIJdrVQet6UufT1tmNnPjeWHUwhPv8iB+Dye\n/zOC3u/t4pnV4Ww9k8WTq043u2r/zj8xnEy7yFczejRZMdG9kzVrHg/Bz9GCWf3d2/rptInGGhNO\n7u7CEF97Pt4Re9OfxV+nzrPlzAWeG+3LzH5ujY4Ye3NCIHVK+Uozv5o6JSdTtbe/+WqSJPHKWH9y\nSqpZEZba6vPklVbz5sYoglyt+P6BXo3+frvZmvLwQA/+Pn2e6MxijiY37G/WhYZYqujtYcMzIzuz\nPjyTjdc1OpNlmdc3RFFYXsOX93Zv9v3t5bH+VNTU8fXeREKTCrC3MMLbXvNzzW/VmC5OfHJ3EDkl\n1Qz1tWdsV9X6dFxPpcRZluUKWZbXyrI8FegBWAIHmnrMpb3LkwFPwAUwkyRp1nXnlbnUcExVsiwv\nk2W5tyzLve3ttVdCJAjCf8OV1WZ7MyYF//+9PGMDPWb0dWPDUwMxM9Tjp0O63einNWRZ5qPtsdiZ\nG/LIINWSxrlDvbG3MOK9rWfbfRl7REYRE5YcIjQxn7fu7IKTVctWXAKcLXlyuA/rwzPZ10jTHV12\nsbyGJ34/zSt/RxHsas2OZwc32RRNFVamBnxzf09ySqp44a8InR5hFpdTSnZJFUN91fs5Y2xXJ54Y\n5s0fx9JZe10THnW4/Dtta2bIDw/2Iqu4iu+v60tQXFFL1PkiBnXWjc9Yr47zx87ciLu+DWX2z8fZ\ndS6HO4Nd+OOxfux6fih19Q39J2rqGt/7uv70eVYfz+CJYd7cGezS7PUCXSzZ+dwQhvs7tPVTURtJ\nknh/SleUMizceOPYquS8Mt7eHEPIpXniN+Nma8rcIV5sisjiRGohZ84XUVFTrzMJY19PG4b72fPt\nvkSKK2qpqq0nNCmfz3fFc+8PYQxcvLfJ91pZllm4MZry6no+nR7cZNn1UyN86GBqyHtbzxKWVICF\nkT5dXFq2H1abnh7uQx+PDry5MfqaGeB/n85ke3Q2L9zhR9eOze/X9nEw594+nVh1LI39cXmEeNlq\nba75rZra05V/nh7E0pk9Wv0cVC7UlyRpqCRJ3wKnAGPgnmYeMgpIkWU5T5blWmA9MADIkSTJ+dI5\nnYHLr/BM4Op+4K6XviYIgpYVV9a2yR6z9mh7dDZxOaUsGNm50Tv0ViYG3NOnE1vOXOBCseb3KqrT\njuhsjqUUMn9EZ8xULGkyM9LnpTv8CE8vYsuZ9rm/V5ZlfjqUzPTvQ5FlWDsvhAdaufr09HAf/Bwt\neH1DVKOzYnVRbmkV4746xJ7YHF4b58+qR/u1yd5eaFjRe2N8ALvP5bJMh282HYhrqGgb6qv+5OmF\n0b4M9LHlzY3Raq9cOZyYT1hyAU+P8GG4nwOTu7vw/cHka8a1hCblo5RhiJYag13P0tiAL2d0Z2qP\njnw/qxcn3xzF4mlBDPC2w9venI/vDiIio6jRkWfxOaW8sSGafp42vNCK/YztSScbU14c48fe2Nxr\n3nur6+p5Zk04hvoKvri3e6P/jl3tiWHeOFsZs2hTDIcvNa/ThU7Sl700xp+SqjomLj1E0Nv/MvPH\nYyzdm0BlbT1GBgqeWHXqphVP/5y5wI6YbJ4b7YuvY9NdoS2NDXhutC9HkwvZEH6evp42OtFhXVX6\neg1/35IEz6wJp7ZeSXpBBYs2Nfw+PDbYS+VzPTvKFz2FRHFlrU5UH9yKbq5WWBi3vpJGpVeAJEmp\nNHTSPgR0k2X5HlmW/27mYelAf0mSTKWGtH4kcA7YDMy+dMxsYNOl/78ZmCFJkpEkSZ5AZ+D62dGC\nIGhYvVJm2nehjP78IEl5LWlx0P4plTJf7YnH296MiUE3X6l4ZKAnSllmRWiTPRPbDVmW+f5AEk/9\ncRp/Jwvua2EzqGm9XAlwtmTx9th210W5qKKGx347xXtbzzHMz4Ftzwymp1vr57ga6jeUbOeUVPHh\nttg2jFR9tp65QHZJFasf68/cod5t3j119gAPJnRz5pOdcRy71HhI1xyIz8PfyaLFVQatoa+nYMmM\nHtiaNTT0UdfvjFIp8/GOODpamzCzX8Pv9GvjAtBXSNeMfTqYkI+5kT7BnazVEkdrDPC24/N7uzO2\nqxNG+teWlo7v5sxDAzz45UjqNc34yqvreHLVacyM9Pn6vh7tKulprYcGeBDsasXbm2Ou9Fb4dGcc\n0ZklfDwtSKXXs6mhPq+PD+DshRJ+OJBMgLNls9t0NCnQxZLHh3hhY2bEQwM9+Pmh3kQsuoPNTw/i\nz8dDcLQ05pFfT5CQU3rN43JLq3hrUzTBnax5bLBqFVT39WkYv1hVq2x3+3oBXDuYsnhqw42lz/6N\n57m1ESgUEp+rcAPlao6Wxjw22AuF1NCv4r+s2XeRS52tf5Zl+S5ZllfLsqxSv3tZlo8B64DTQNSl\nay0DFgOjJUlKoGFVevGl42OAtcBZYAfwlCzL7esTlyDchnZEZ5OYW0ZBeTX3fB922+7lbcy26AvE\n55TxzE1Wmy/rZGPK2K5O/HEsrc1mbGpLaVUtT/x+msXbYxnX1Zl1TwzAUL9lHzj1FBILJwSQWVTJ\nL0dS1ROoGpRW1XLn0sMciM/lrYmBLHugF1amt77Hs+GDmherj6cTqqPjh662NzYXb3szenvYqOX8\nktQwp9fNxpT5q8OvzM7VFeXVdZxILVR7mfbVbM2NWDytYR7p13vV03l8e3Q2UZnFPD/a90ry6WRl\nzNMjfNgZk8OhhIZV9sOJefT3stWZ7sGqeH18AN07WfPyujOk5Jdf2ceZnFfGkvu642Cp3cZWmqKn\nkPhwahDFlbW8v+0cB+Lz+PFQCrP6u3GHirPXASYGOdPP04bK2nqdXGF8fXwAm54ayOvjAxjh73il\nuZe9hRErH+mHgZ6CB38+Ttal/d4NjdGiqaip57PpQSrfRNHXU7DozkBMDfXaVen+1SYEOXNv7058\nfyCJU2kXeW9KVzreZDpGU54d5cuOZ4dofK67rmn2lXMpeZ3YmpPLsrxIlmV/WZa7yrL8wKWO2QWy\nLI+UZbmzLMujZFkuvOr492VZ9pZl2U+W5e2tuaYgtKUfDiTx8rpI6tpwbmB7Issy3+5PxMvejC3z\nBzfs6112lLAk3Vwlakv1Spmvdifg42De5GrzZXMGeVFSVcdfGtinqC4JOaVMXnqEXedyeHNCAEtn\n9mhV10mAAT52jApw5Jt9ieSX6VZidDPbo7LJKKzkp9l9eGSQZ5vu43putC+edma8sv6MTm97KKuu\n42hyASMD1Du/1sLYgG/v70lxZS0L1oQ3O0ZHk8KSCqitlzWaOAMM9bXn7l6ufH8guc1vUNbWK/n0\n3zh8Hc2Z0uPavqtzBnnibmvKO/+cJTG3jIzCSp0aw6QKQ30F39zfE309iSdXnebnI6lsisji+dG+\nDPBuX8/lVgW6WDJ3qBfrTp3n6T9O09nBnDfGB7boHJIk8c7kLlibGjCmBQm3LnCzNWXFI30oq6pj\n9s8Ns3s3RWSx62wOL4z2xceh6RLt6w3ubE/022PaZUOsyxZNCqRbRyvu6+vG5O439F1WiZ5Cara8\n/b9A1duJRy510h4sSVLPy3/UGpkgaFlRRQ1f7I5n7cnzfNBOSizb2qGEfGKySpg3xBsfB3PWPRGC\ns5Uxs385zr+3+QimbVEXSMhtfrX5sl7uHejpZs3PR1J1KglQ1baoC0z+5gglVbWserQfjw72uuXE\n8fXx/lTV1rN4e/v4/dkYkYmHrala9nYaG+jx0bQgMgor+WSn7o7rOpyQT229zAgNrK4EOFvy7uSu\nhCYV8JUOzXc+EJ+HqaEevTxaX6LfWgsnBGJjZshL685Q24Y3bNedOk9KfjkvjfG/4f3MSF+PtyYG\nkphbxoI14QAMaoflmB2tTfjinu6cu1DCu1vOMszPvtkRerer+SM642VnRnWdkq9n9sDEsOWd4f2d\nLAlfOJq+nuqpPFGnLi5WLHuwN2mFFcz+5QSLNsfQw82aR1uwr/dqbb1dRdNMDfXZ/PRAPpzaTduh\ntHuqJs7dgS7A/4DPLv35VF1BCYIuWH08g6paJaMDHfn5SAprjqdrOySN+25/Ek6Wxkzu0bDi6mxl\nwtq5IQQ4W/LEqtOsO3VeyxGqR71S5qs9CXR2MGdCCzoJPzrYi/TCCnadbV83FS6W1/DM6nB8HS3Y\nMn9wmzWC8bI35/EhDSsful6lkF1cRVhyAZO7d1Rbx9C+njbMDnHn19BUTqUVNv8ALdgbm4OlsT69\n3DWTNE7v7crUnh35em8CR3Vgv7Msy+yPz2WAt+0Ne2k1wcrUgPemdOXchZIbul23VlVtPV/ujqen\nmzWjAhq/ITLC34FhfvbEZJXQ0doETzuzNrm2pg33d+ClMX4EOlvyxT3d233C01rGBnqseqwf658Y\ngL9T6ztBt9fuydAwa3jJjO6cOV9EVW1DF+2W7Ou93bTnv0tdouo4quGN/Bmh7uAEQVvq6pWsDEsl\nxMuW7+7vyeDOdizcFK2zjWzUITz9ImHJBTw62POaD5AdzAz549F+hHjZ8uJfkZxM1c0EoLWqaut5\nd0tDyeKCUaqtNl82posTnWxM+OlQihojbHsH4vOoU8q8M6nlI5eaM39EZ9xsTHljYxTVdbrbtmJz\nZCayzA1lrG3t5bH+uFiZ8NK6MzrXOE2plNkbm8dQPweN7W+VJIn/Te6Ku40pz/0ZQVFFjUauezOp\nBRVkFFZqvEz7amO6ODExyJklexOIv67BUWusCE0lp6SaV8b63/TDsyRJvDUxEAM9iSG+9u36Q/ZT\nw33YtmCwTjW00gZnKxOVxg3dzsZ2dWb57N4se7B3uy61FnSHql21HSVJWi5J0vZL/x0oSdIc9YYm\nCNqzMyaHrOIqHh7ogb6egqUze9KpgylPrDp9zdiO29n3B5KwMjFgRiMdlc2M9Pnxwd7YWxjx8Y64\ndj+v97LIjCImfn2YX0NTmdXfjfFdWza3Vk8h8fAAT06mXSQ8vfFxGLpoT2wuduZGdFPDhywTQz3e\nndKV5LxyvmujFTR12BieRXAna7WvtJkZ6bN4WjeS88p1qjwZICqzmPyyakb4azZpNDfSZ8l9Pcgv\nq+bVv6PU9n5ysbyGtzfHMHDxXuKyG09ID8Q1TMjUxBiqprwzqQvmRvq8tO7MDVs/8kqr2RGdTWZR\n8+PvsooqWbovkWF+9vRrppLEy96cjU8N5OUxfrcUuyDokhH+jlq9ESbcXlS9pfwrsBO43CEnnobx\nVMJtKre06j+1unq9X0NT6GRjcqVBjpWJAT/N7k1dvZJHV5ykrJ13Tm5OYm4pO2NymB3iftPmUCaG\neswf4cPx1EIOJuh+p+CmVNfV8+nOOKZ+F0p5dR2/PdKX96Z0a1WZ3z19OmFhrM9Ph9vHqnNdvZID\ncbmM8LdXW1njUF97JgW78O2+JJ0caZaQU8rZCyVM6d58E7i2MLizPff27sSyg8lEndedLvV7YnNR\nSNpJGoNcrXnxDj92xGSz+njbNtirrVfy8+EUhn26n9/CUrlYUXPTpo8H4vPwtDPDzVa7nWNtzY14\ne1IXIjOKWLIngX8is3hjQxQjP9tPn/d3M+/3U8z66ViTs8GVSpkX1kZSr5R5+84uKl23i4vVf36l\nVhAE4WZUTZztZFleCygBZFmuA3SrxkxoU6+sO8O9y47q9AqRukRnFnMi9SKzQzyuKdP1sjfnm/t7\nkphXxrM61gW2rf1wIBljAwWzB3g0edyMPm64djDhs3/b76rz2awSJi89wtJ9idzVoyM7nh3CkFu4\nO21upM/Mvm5sj7rQLqoTTqVdpKSqTu3NoN6cGICxgYI3NqhvRbG1NkZkoqeQVOqe3lZenxCAnbkh\nL/4VqTMl23tjc+jp1gEbLSVOjw32YpCPHf/bEkNi7q2XKMuyzJ5zOYz58iD/23KWIFcrti8YwkfT\ngog8X8zPR669uVVVW09YcoHOrE5NCnZhVIADX+1JYP7qcDZFZOFmY8qr4/z5bHowGYUVvLA2EuVN\n/i1afjiFsOQCFt0ZiEc73bMsCIKgS1RNnMslSbIFZABJkvoDunObXGhTGYUV7I/Pw9HSiI92xPLB\ntnM690FXnX4+koKZoR739Ol0w/cGd7Zn4YQAdp/L5e/btDFWVlElG8IzmdHHDVtzoyaPNdRXsGBk\nZ86cL2ZnTI6GImw7SqXMQ78cp6C8huWze/Pp9GCsTG59bu9DAz1QSBJf7tatUtzG7I3NxUBPYlBn\n9SYLDhbGvDougKPJhfx9OlOt12oJpVJmU0QWA33ssLdo+vXelqxMDPhoWhBxOaUa6ToempTPPT+E\ncTarpNHv55RUEZ1ZwoibNI/SBIVC4vN7gjE11Gf+6ohbuqEgyzLPr41kzoqTIMPPD/Xmt0f64udk\nwcQgZ0YHOvLZv/EkX1UBcTylkKpapc4kzpIk8cndwbw7pSubnhpIxFuj+eXhvswb6s20Xq68Pj6A\nXWdz+P7gjTe4z2aV8MnOOMZ0ceSe3jf+WyYIgiC0nKqJ8/PAZsBbkqQjwG/AfLVFpUWF5TVsisj8\nTyWK11t9PB0J+PuJATwY4s6yg8m8vO7Mf2KWcV5pNVsiL3B3L1csjRtPoGYP8KBbRyu+2Z94W/5M\nfjqUggw8OthTpePv6tERL3szPvs3rt2twkdnFZNbWs0b4wPadG6ts5UJ84Z68/fp82yK0J0ksTF7\nYnPp72Xb6nnNLTGjTyd6uXfg/a1nKSzXbhOoy06lX+T8xUru6qG51ebLhvk5MGeQJ7+GprLnnHpu\nPMmyzMqwVB5YfpzjKYW8dJMS5X2xDXt7R/qrd35zcxwsjfnk7iDOXShh8fbYVifP/5y5wIbwTOYO\n9WLnc0MY4e94peGVJEm8N6UrRvoKXv076sqK7YH4PAz1FfTz0p3xOx3MDHmgvzvBnazRv65h28MD\nPbgz2IVPd8Zx+KrtMlW19Tz7ZzhWpgZ8ODWoXTf6EgRB0CWqdtU+DQwFBgBzgS6yLJ9RZ2Da8uG2\ncyxYE/GfW2W9rKZOydqTGYzwd8S1gynvTOrCgpGd+evUeZ5cdVpnSgrVZdWxNGrqlU2WKEuSxNMj\nfEgrqGDLmQuaC04D4nNKWX08ncnBLrh2UG2Pn76eghdG+5GQW8bmSN1OEq93IC4PgEFqmNv77KjO\n9HbvwOvro0jJL2/z87eFtIJyEnPLNDKzFxpWFD+4qxulVXW8v/WcRq7ZnI3hmZgY6HFHoJNWrv/y\n2IbROS+tO0NuSVWbnrumTsnrG6JZuCmG4X72fHx3EDFZJSxvZP/9nthcOlqb4Ouo/c6zIwMceWiA\nB7+GpuK/cAd+b26n/wd7GPvlQe79IYzVzYwGvFhewzubYwh2teLlMf6Ndgh3tDRm4cRAjqcW8vux\nNKAhce7naYOpofpvIrUFSZJYPLUbPg7mzF99+kqzsI92xBKfU8an04O1VnYvCIJwO1K1q/Z0wESW\n5RhgCvCnJEk91RqZFpRU1fLPmSzszA358VAKS/cmajskjdsZk01+WQ3392/opCxJEs+N9uXtOwP5\n92wOD/9y4rZtjFVdV8/vR9MZ5mePVzNjC0YHOOLnaMHSfYk33V/WnpxMLeTRFSe444uDKCR4crh3\nix4/rqtTw9zMXQnUtqNV+IMJeXTraIVdMyXpraGvp2DJfT0w0Ffw9B+ndXIU095Lq4yaSpwB/Jws\nmDvUi79Pn2dvrPrL+8uq6/jxYPI1JbmX1dQp2Rp1gdGBjphpYMW9MUb6eiy5rweVNfU838R+1ZbK\nL6vm/p+Osvp4Ok8N92bZA72Z3suV0YGOfL4rntSrbuZU1dZzOCGfEf4OOrM6+fr4AL64N5iXx/ox\ne4AHQ3ztcLMxpaiiltfWR7E5Muumj31v6zmKK2tZPC2oyXFyd/dyZYivPYu3x3IsuYDE3DKdKdNW\nlZmRPt/P6kVtvcwTv59i99kcfjmSykMDPNrdcxEEQdB1qpZqL5RluVSSpEHASGA58J36wtKOTeGZ\nVNUq+Wl2H6b26Mhnu+L59Uj76IzbVlYdS8O1gwlDr9vv+NBAT768tzvHUgr4Yle8lqJTr61nLpBf\nVs3DA5svUVYoGladE3PL2BGTrYHo2p5SKfNvTDbTvgvl7u/DOJV2kQUjO3Pw5eH4OFi06FwKhcRL\nY/xIL6xg7cm27YirLiVVtZxOL2KIb9uvNl/mYm3Cp3cHE5NVwofb1L+P9WrFFbW89FckhxLybnrM\n3thcfBzMcbfVbOOgZ0Z2xt/JgpfXRam1ZDs0MZ8xXxzk/W3nmPj1YTaGX1sRcTA+j6KKWqZooUz7\naj4O5iy6M5DDifksO5R8y+e73PAuKrOYJff14KUx/igUEpIk8e7krhjqKXhj4/83aTuaXEBlbb1W\n9zdfz1BfwV09XHlymA+vjw/g47uDWfZgbzbPH0hfDxte/CuSU2k3jnw7lJDH36fPM3eoFwHOlk1e\nQ5IkPrirKxLw6G8nAdplsullb86n04M5c76Yx1aepLODOa+O89d2WIIgCLcdVRPny0slE4AfZVne\nCtxW9T+yLPPH8QwCnS0JdrXi47uDuCPQkbf/OXvbNoG6XmJuGUeTC5nZz63RsTRTenRkak9Xfj+a\nRm5p25YUapssy/xyJBVvezOGqFi2O76bM152Zny9N7FdlvU/+2cEj688RU5JFe9M6sKRV0fw3Gjf\nZhuC3cwwP3t6uXdgyZ6EdlHSH5qYT71SZoiam2KNCnS8so91R7RmbrJkFlUy7ftQ/jp1nufXRjY6\nsqasuo6jyQWM1OBq82VG+np8fk93iitreHNj23fZrqip461N0cz86RiG+gqWPdCLLi6WPPtnBK/+\nfYbKmobX54aITGzMDBms5teAKu7t04nx3Zz4dGcckRlFV76uVMqkF1SwMyabcxcab+x1tfMXK3jw\n52MoZZl18wYwKfjamwJOVsa8Ms6fI4kFrLv0b9ve2FxMDPQIaWbOry4w0tfjhwd64WJlzOO/nSS9\n4P8711fU1PH6hii87MyYP6KzSudz7WDKq+MDKK2qo6O1CT4O2i9Vb42xXZ2YP8IHEwM9vpzRHWMD\nPW2HJAiCcNtRNXHOlCTpB+BeYJskSUYteGy7cOZ8MeculHBfPzckSbpSZjnQx5aX1kVq7AOvNq06\nloaBntRkB875I3yoU8p8v//WV0V0xfmLFTy+8hRRmcU8PNBT5VJFPYXEk8N9OHeh5ErJa3txsbyG\nrVEXmNnPjf0vDmP2AI9b3tcnSQ2rzjkl1awMS2ujSNXnQHw+5kb69HTvoPZrvTLWnyBXK15eF8n5\ni+odUXU2q4Sp3x4hp6SKhRMDyS+r5vN/b6wSOZyQT229zHAtJM4AgS6WPDvKl21R2U2W3bbUidRC\nxn11iJVH03hkoCfbnhnMHV2cWP1Yf54c5s2aExlM+eYIERlF7D6bw8Qg50b3wGqaJEl8eFcQDhZG\nzF8dzmvrz3DXt0fo+vZOhnyyj7krTzFp6WH2xd38vaa8uo7HfjtFdZ2S3x/tR9eOVo0eN7OvG308\nOvDe1nPklVaz51wuA33s2k2y1cHMkOUP9aFOKfPIihMUVzbcGPpiVzwZhZV8MLVbi57L/X3duDPY\nhVn93XWmVL01XrjDj9MLR9PFpfG/d0EQBOHWqPpp4R5gJzBGluUiwAZ4SW1RacGaE+mYGOgxufv/\n3503NtBj2QO9Ce5kzTOrwzmWXKDFCNWrsqaev0+dZ2xX5yb3e7rbmjG1R0dWHUtr80Y2mlZdV883\n+xIZ9fkBDifk88pYf+7r69aic0zu7oJrBxOWtLNV511nc6hXyszs63ZDp9Zb0d/LliG+9ny9N0Fn\nuiY3RpZlDsbnMcDbViNJk6G+gq/v64Esw/zV4dTUqWcf+JHEhpFDEhJ/zQthziBPZvVz57ewVKIz\nr50guDc2B0tjfXpp4MbBzcwd4kVPN2sWbowmu/jW309+OZLCPT+EoZRl1jzWn7fuDMTEsCGB0tdT\n8PJYf1Y80pf8smqmfHOE6jolk7t3vOXrthUrUwO+nNGD7OIqtkdnY6Sv4J7enVg8tRtr54bg62jB\n3JWnOJKYf8NjlUqZ59dGEJddwtKZPfFuok+DQiHx4dQgKmvqeey3k2QWVTJSh8q0VeFtb873s3qR\nVlDOk6tOcTr9IssPp3BfXzf6t3DlXKGQ+Pq+HjwxrGW9HXRRe7n5IQiC0B6p2lW7AkgFxkmSNB9w\nlmX5X3UGpkll1XVsishiYpDzDSOIzIz0+fWhvjhZGfO/LWfbVXLUEv+cyaKkqo5Z/ZpPHOeP6Eyd\nUubb/TfOjmwvDiXkMe7LQ3yyM47hfg7seWEoTwzzbrKRTGMM9BQ8OcyHyIwiDjfyYVZXbY++gGsH\nE1ups1UAACAASURBVLq4NL0HsDXenBBAeU29Tu+FT8orJ7OokiEa3M/obmvG4mlBhKcX8cG2tu8o\nvSkik4d+OY6LtTHrnxyAv1PD3+2LY/ywMTPkjY3RV8aFKZUye2PzGOrnoNXVVn09BZ/d053aepmX\n1kXe0vvrydRC3tt6jpH+juxYMIR+N0mehvras23BYAb52BHsakVPN+tWX1Md+nracObtOwhfOJo1\nj4fw9qQuzOjrRl9PG1bO6YeXnRlzVpy44UbuF7vj2RmTw5sTAlXap+vjYM78ET5EXCoLH+7XvhJn\ngBBvWz64qxtHEguYsewoduZGYm+vIAiCoDaqdtV+C1gB2AJ2wC+SJL2pzsA06Z/ILCpq6plxk9VG\nK1MDnhnZmZisEvaca18luapadSydzg7m9PVsfn6lm60p03p25I/j6eS0w1XnJXsSeGD5cWRgxSN9\n+W5WL1ysTVp9vmm9OuJkaczX7aQLe0lVLYcT8xnbxUktZYm+jhbc38+NVcfSiMsubfPzt4WD8Q0N\nszTdCGhCkPOV/c5tOd95/enzLFgTQU+3Dvw1b8A1r2crEwPemBBAZEbRlTE+UZnF5JdVa2V/8/U8\n7cx4fUIAhxLy+f1YQ3yyLJOaX87G8Eze3hzDZ//GNblKX1RRwzOrw+lobcIX9wY32yHb0dKY3x/t\nx8anBupkaa6xgV6jcdmYGbJyTj86WpvwyK8nOJ3e0BxrU0QmX+9NZEafTjw80EPl68wd6o2/kwXd\nO1njZGXcVuFr1PTenXhquDc1dUr+N7krViYGzT9IEARBEFpB1aWG+4E+siwvkmV5EdAfeEB9YWnW\n6uPp+DlaNLnyMKW7C242pizZm3DbrTpHZxYTmVHE/Zf2d6ti/ojOKJUy37WzVefy6jqWHUxmVIAD\nO54d3CaJk5G+HnOHenE8pbBdlPPvi82ltl5mXDf1za19bpQvFsYGvKujVRoHE/LwsjOjk41qs6rb\n0qvj/OnracOrf0cRm918s6fmZBdXsWhTDH09bPhtTt9GE4cp3TvS38uGj3fENuxpjc1FIelOB+FZ\n/dwY4mvPB1vPMfvn4/R4dxfDPt3Ps39GsOZEOl/vTeSJ30812nROlmVe/D/27jtOrrLQ//jnTN/Z\n2d5Tdje9kkI2IVRpioISVECwoaJYUNR7Lwrq/V07ei3XgiKIKBYERRBQKYLSISEhnYT0bMr2Pjs7\n/fn9cWY3G7LZtJ2d3ez3/XrN65w5c2bm2c2T5HzP0/68jqZghFvfu5Ac39EHp5EYmo+kJMfLPR9b\nSkmOl2vuWsEfV9TyhfvXsaS6kK8vm3tMP5PH5eBPnzid33x4cRpLnH7/9ZYZLP/SBbx1bmbW4hYR\nkbHhaIPzfqD/7WgvMHTNJRm0YV8H6/Z2cPWSiYNecLicDj593lTW7e3g6dcPv7zLaPSH5bvJcjt5\n56kTjvo9Ewv9XL5oAvesqB2SsYnD5W/r9hOMxPnEm6bgdQ3dWLCrl1RSHPDw/Sde7+sOO1I9ur6e\nslwvCyemb2xrQbaHz184jee3NfPkMPfSMMbww39u4R/r6wZ8PRxL8PKOlmHtpt2f2+lIBTwXn/jd\nqr6JjY6HMYYvP7ieWDLJ966Yd9g6bVkW37xsLj2xBLc8uol/bW5gUVUBBdkjY3EEy7L433fPozjH\nQ0NnmLfOKeeWd53Co589mw1fvYhvLJvDU5sb+ejdKwlFD15H/tcv7OLJTQ3c/LZZzJswsrpdp0tZ\nro97PraUvCw3Nz+wnuKAl9vefyoe17F3u8/1ucn3j4x6cLwsy6Isd3S2mIuIyOgx6P+ylmX91LKs\nnwAdwEbLsn5jWdZvgA1A+2DvHS3ufaUWb2q9yCN556njGZ+fxY+fOnlanf+1uYEHV+/j0vnjjrmL\n2/XnTSWZNPz86dHRRRngnuW1TC8LDPmESD63ky9cNJNXdrVxx7Mjd8bxUDTO01sauWhO+YBLjg2l\n9y2tYmppgG/9/TUi8eFbnuqva/bxk6e28vn71rCjKXjI66/saiUcS2a0tbU0x8fP33cqe9t6+M8/\nrSF5nDdbHl67n6c2N/Jfb5lxxLWYp5bm8LGzJ/PAq/vYsK+T82eWHdd3pkt5no/nvnA+j33uHL7z\n7nlcvaSSWRW5uJwOPnB6Nd+7fB4vbm/mmrtW0JVaXmvd3nZueXQTF84qO6YuyieDcflZ/PFjS7l0\n/jju+tDi415GTkRERI7OkW5PrwRWAY8B30k9fxn4MvBQeouWfqFonIdW7+eSUyrI8x85NLqdDq4/\nz55M5dmto2ciqIH0RBP891838JHfrGRScYAbLjy6NS/7m1jo54qaCdy7Yg91HT1pKOXQ2rCvg7V7\nO3jvkqPvkn4srqiZwMWnlPODJ17vm3BnpHnm9SbCseSwdGl0Ox3899tns6slxN0v7kr79wE0dNrd\nludNyMPrcnDj/esO6QHw7JYmPE4Hp00+8nj+dKqpLuQrl8ziyU2N3PaMPeQhHEuwuraNX7+wk8/d\nu5pP/n4Ve1oHXr6qqSvC/zy8kYWV+Xz4zElH9Z2fOX8a41Pjn88fAeObj8UVNRP58VULWV3bzvvv\nXM6e1hCfvmc1JQEv379i3qjsdn2iJhb6+cnVC5lRnpPpooiIiJz0jhSc7wHmAN8EPgR8JLU/N/Xa\nqPa3dXV0ReKHnRRsIJcvmsC4PB8/fnLLqG113ri/g3fc+jy/e3k3Hzt7En+9/oy+i+ljdf15UzEY\nfv7vkT/W+Z4VtfjcjmPqkn4setdhLcv18dl7VxOMxI/8piFmjBm0Xj66oZ7CbA9LqocnNL5pegnn\nzyzlJ09to6krktbvMsbwpQfWE00k+dF7FvC1ZXNYtbuNu57fedB5z2xpYvGkghNet3ooXHNGNcsW\njOP7T7zOO376PKd89XHe+fMX+dojr/HSjhae29rMO259nme2HDo85KsPbyQUSfC/75531LPBZ3mc\n/PiqBXzs7ElMLzv8ckUj1Tvmj+O29y9iU10XF/zwGfa19/CTqxeO+q7GIiIiMvIdKTj/L1AATDLG\nLDLGnApMBvKA76W7cOnUHIzwmxd2MaUkm8XVR99t1+Ny8MnzpvJqbTsvbBv5E0H1l0wa7nh2O5f9\n7AU6e2L8/trT+PIls09orO+EAj9X1kzknhW1h6wTO5IEI3EeWr2Pt8879i7px8Jeh3UBe1pD/L+/\nbkjb9wykrqOHy372Ah+8awWxxKEzEEfiCf61uZG3zC4b0rWbj+TLl8wiHEvwgydeT+v3/OXVfTy1\nuZEbL5rJ5JIAly0Yz4Wzyvj+E6+zrdHusl3X0cOWhuCImRTLsixuedcpnDW1mGyvk4+cNYlfvP9U\nXr75ApZ/6UL+9pmzKM/18aFfr+AnT23t69L92IY6/r6+js9eOI1pZcfW2lhTXciXL5k9alto3zy7\njDuvqcHrdHDTW2dSM0w3gURERGRsO9LV89uB64wxfWvKGGM6gU8Cl6SzYOkSiSe4/ZntnPe9p3m9\noYsbLph2zBeQV9ZMoDzXx4+fGl2tzj/91za+/Y/NnD+zlMc/dw5nTSseks+98aIZFPg9fOH+dQMG\ntpHg4TX76Y4meO9RrFN9ohZXF/KZ86fxwOp9/HX18Myht35vB8tufYHXG7p4bmsz33108yHnPL+1\nmWAkzkXDPPPslJIA15xRzX0r9/DKrta0fEd9R5ivPWLPLP3hM6oBO5R++11zyfI4ufH+tSSShue2\n2EMsMjUx2ED8Hhe/u/Y07r3udG5+2yzeOreib2mg6uJsHvzUmVy2YDw//OcWPvbbldS2hPjKXzcy\nuyKX686ZnOHSZ8Y500tY8z9v4WNj9OcXERGR4Xek4GzMAMnQGJMARk9ixO7G+diGet78w2e55dHN\nLJ5UyOOfO4dlC8Yf82d5XU4+ee4UXtnVxkujYPkhsH/+B1bv5cypRfzi/YuGdDbdfL+Hb142h9fq\nOkfsxFj3rNjNzPIcFk4cnll3P3P+VGqqCvjKXzdQ2zLwGNWh8vjGeq68/SXcTgcPXX8WHzqjmjuf\n38kja/cfdN6jG+rJ8bk4c8rQ3DA5Fp+7cBqVhX5u+ONq2rqjQ/rZxhhuesC+afO/l887aNKz0hwf\nX7t0Dqtr27nzuR08s6WJslwvM46xlTaTsjxOfnjlfL6+bA7PbGnigh8+TXsoyveumId7GHsOjDRH\n2z1dREREZCgc6arrNcuyPvjGg5ZlvR84tElrhKrvCHPVHS/zid+vIsvt5HfXLuGuDy1maunxj/F7\nz+KJlOZ4+fGTo2OG7U11XexuCXHJKePS0kXzrXMruOSUCn785Fa2NnQd+Q3DaN3edjbs6zymdapP\nlMvp4EdXLcCy4IZ7V6elJd4Ywy+f3cEnfr+K6eU5PHj9Gcwoz+FLF89iUVUBX/zLOrak/ixiiSRP\nbmrgwlllx7VkzYnK8bm59epTaQ5GuPH+tUP6d+bPK/fy9OtN3PTWmVQXHzqz9KXzx3HRnDJ+8M8t\nPLOlibOnlYy6bsqWZfHB06u57+NLGZ+fxX+8ZTpzxuVlulgiIiIiY8aRrqCvB663LOtpy7J+kHo8\nA9yA3V17VPjpv7ayZk8737xsLn+/4SzOnnbi3TR9biefPn8qy3e28sCrI39J68c21OGw4C1z0rcE\nzVcvnUO218kX/nLoTMaZdM/yWrLcTpYtPPbeBSdiQoGfW951Cmv2tPPtf2wa0s+OJ5J8+a8b+NY/\nNnHx3Aruu24ppTl2916Py8HP33cqfo+9TnBXOMbyHa20h2LDMpv24ZwyIY8vXWzPIn3XC7uG5DP3\ntffwjb+9xmmTCvng6dUDnmOvYXwK2R4nwUh8xIxvPh6Lqgp5+sbz+NS5UzNdFBEREZExZdDgbIzZ\nZ4w5Dfg6sCv1+LoxZokxZuSnRSAaT/L39XW8dW45719aNaSTIr3vtCqWVBfy1Yc3sq99ZC/H9OiG\nehZXF1KcxrU+S3K8/M877G6xv35h55HfMIR6oglagofO2twVjvHw2v1cOn8cub70TQp2OG+fN44P\nn1nNr1/YxV9W7R2yz73139u4Z3ktnzp3Cj+9eiE+98ETvJXl+rj1vQvZ3Rriv/68ln9sqMPvcWY8\nNH7ojGrePLuM7zy6ibUnuGRXMBLno3evxADfu3z+oOtSl+R4+c675zGtNMA5Q3DjTERERETGlqNK\nkcaYfxljfpp6PJXuQg2lZ7c00R6KcdlxjGU+EqfD4vtXzCdpDF+4f23fjLcjzbbGIFsbg7xtGFob\nly0YxwUzS/n+E6+zu6U77d8H0NET4923vUjNt57kfXe+zJ9e2UNnOAbAX9fsJzRMk4IdzpcunsXp\nk4u4+cH1rNt74us7v1rbxk//tY13LRzPF94687CBcenkIm5+20we39jAvStqOW9G6SEBe7hZlsX3\nLp9HaY6PT//x1b4/p2MVTyS54Y+r2dLQxc/edyqVRf4jvueiOeX88z/edFRrtouIiIiI9HfSzyzz\n4Jp9FGZ7hmwG6TeqLPLzlbfP5oVtLfz2pV1p+Y4T9fjGesAeh5xulmXxrXeegtvh4It/WZf2mwmh\naJyP/OYVtjZ28cGlVext6+ELf1lHzTef5JO/X8Vdz+9kdkUu8yZkbjyo2+ng1vcupCTg5eO/W3VC\n6xl3R+J8/r41lOf6+OqyOUc8/9qzJnHJvAqShox20+4v3+/hJ1cvYH97mJsfWI8xhnAs0bfm8g1/\nXM17f/kyLw8y8d43/76Jf21u5KuXzsl4K7qIiIiInPxcmS5AOnWFYzz5WgPvWTwxrbPPXrV4Ik9s\nrOeWRzdz1rSSE5p0LB0e3VDHwsr8viVu0q08z8eXL5nFTQ+s51fP70zbkjGReIKP/24Vq2vbuPW9\np3LxKRUYY1izp52H1uznb+v20xyMcsu7Tsn4ZFBFAS+3f2ARl//iRT71h1X84aNLj2uSrq8/8hq1\nrSHuu+70o+p63tvCe/bU4hETnMEeq/tfb5nBdx/bzOv1Xexq7iaeuslSnuvDsuCqO17mw2dW84WL\nZpLlOdBSfveLu/jNi7u49qxJfGBpVaZ+BBEREREZQ9IanC3LygfuBOZiL1/1EeB14D6gGnvM9JXG\nmLbU+TcD1wIJ4AZjzOMn8v2Pb2wgEk8e15JTx8KyLL777nm85UfP8p9/XstfPnH6kI6lPhF7WkNs\n2NfJzW+bOazf+57FE3l2axO3PLqJqWUBzptROqSfH08k+dy9a3huazP/++55XHyK3ZpuWRYLKwtY\nWFnAVy6Zxeb6LmZX5A7pdx+vuePz+O675/HZe9fwjb+9xjcum4sxhl0tIV7e0cLyHS1sawpy9ZJK\nrlpcechyO49tqOe+lXv41LlTWDKp8Ki/1+9xcdWSzHVVP5yPnzOZ7U1B9raFuHBWGQsm5rNgon2D\nJxSN891HN/PrF3bx9OtNfP+K+SyqKuDfmxv52iMbuXBWGV+6eFamfwQRERERGSOsdC6lZFnW3cBz\nxpg7LcvyAH7gS0CrMeY7lmXdBBQYY75oWdZs4I/AEmAc8CQwPbVm9IBqamrMypUrD/v9H/jVcna3\nhHjmxnOHpcXx7+vquP6eV/nPN0/nMxdMS/v3HY1fPruDb/1jE8/eeN5RjQMdSqFonMtve4k9rSEe\nvP4MppYOzdq5yaThC39Zx/2r9vLfb5/NtWdNGpLPHS63/GMTtz+7g3Oml7C5rpPGVNft4oCXkhwv\nm+o6mTchj28sm8v81LrTjZ1hLvrRs4wvyOKBT56ZkSWlMuHFbc3ceP866jp6uHpJJX9dvY/q4mz+\n9PHTyfae1B1mRERERGQYWJa1yhhTc6Tz0nb1bVlWHnAO8CsAY0zUGNMOLAPuTp12N3BZan8ZcK8x\nJmKM2Qlsww7Rx6WxM8wL25q5bEF61i0eyCXzKrh0/jh+/NTWIZkE6kiSScMflu/ma49sPOw6wY9u\nqGN2Re6wh2awWzp/eU0NXreTa+9eSVt39IQ/0xjDN/++iftX7eVzF04bdaEZ4AtvncmFs8p4vb6T\npZOL+NY75/LUf76JV758Af+44Sx+fNUC6jrCXPbzF/jSg+tp647yX/evoyeW4EfvWThmQjPAGVOL\neexzZ/OexZX8YXktOT43v7pmsUKziIiIiAyrdF59TgKagF9bljUfWAV8FigzxtSlzqkHehcWHg+8\n3O/9e1PHDmJZ1nXAdQCVlYfvfvrw2v0kDcO+du/Xl81h5a5Wrr17JQ988gwmFqYnsG5r7OKmv6xn\n5e42ABJJw9eXzT3onPqOMK/WtvOfb56eljIcjfH5Wdz+gUVcfcfLfOoPr/Lba5ec0HjzO5/byV0v\n7OQjZ07isyOkVf9YOR0Wd15z+JtayxaM5/yZpfzfP7dy90u7ePDVffTEEnxj2ZwRN35+OOT43Nzy\nrlO4omYCJQHvsI3VFxERERHplc6mKxdwKnCbMWYh0A3c1P8EY/cTP6a+4saYO4wxNcaYmogrQDQ+\ncEvrQ2v2c8r4PKaUDG/QyPd7+M1HlhCNJ/ngXStoHmBt4RMRiSf40ZNbuPjHz7OtKcj3r5jPx86e\nxG9f2s3vX9590LlPvGbPpv22UzI7KdSiqgJuedcpvLSjha89svGQ10PROLUtoSPOwP34xnq+/egm\nLjmlgq9cMivjE36lU47Pzf97x2we+fRZLKzMZ9mCcbx/jE+EdWplQdpuRImIiIiIDCadLc57gb3G\nmOWp5/djB+cGy7IqjDF1lmVVAI2p1/cBE/u9f0Lq2GG1haJ86g+r+Nn7TsXrOjDr7rbGIOv3dfCV\nSzIzedD0shzu+lAN77tzOR/5zSvc87GlBIaga+mq3W3c9Jd1bG0Mcun8cfy/d8ymOOAlkTRsawzy\n1Yc3MrkkmzOm2EtvPbq+nqmlgSEbW3wi3r1oAlsau7j9mR3EE4ZkalKs3S3dNHTaNxfOn1nK/125\nYMB1dtfv7eBz965h/oR8fnDl/MOuXXyymT0ul3s+tjTTxRARERERGdPS1uJsjKkH9liWNSN16ALg\nNeBh4JrUsWuAh1L7DwNXWZbltSxrEjANWDHYd4zLz+LJTY186vevEokfmEPsoTX7cFhw6fxxQ/cD\nHaNFVYX87L2nsnF/J5/43aoBW8aNMexq7j5sq3l/T2ys5z23v0R3JM6vP7SYn1y9kOKAF7C7/v7k\n6oVMKs7mU394ld0t3bQEIyzf2cLbRtASRF+4aCZvm1vOva/s4V+bmzDGcPa0Em68aAafv3A6z21t\n4h23Ps9r+zsPet/+9h6uvfsVCrM9/PKDNfjczsN8g4iIiIiIyNBL96zaC7CXo/IAO4APY4f1PwGV\nwG7s5ahaU+d/GXvJqjjwOWPMo4N9fk1NjfncrX/hK3/dwHkzSrjt/Yvwuhy86XtPU1Xk53fXnpa2\nn+1o/XnlHm68fx3vmD+OH79nAQZYuauVxzbW88TGBva19zB/Qh6/vKaG0pyBx27+e3Mj1/1uJXPG\n5fHba5ccdv3e3S3dLPvZCxQHvFy1eCLf/Psm/vaZs5g7Pi+NP+Gx64kmDlqXt9eq3W186g+raA/F\n+PY7T+HdiyYQjMS54hcvsbc1xP2fPIMZ5ZlvPRcRERERkZPD0c6qndbgnG69y1H9YfluvvzgBs6d\nUcLHz5nC1b98me9fMZ/LF03IdBEBuO3p7Xz3sc0sqS5ke1OQlu4oHpeDc6YVM29CPrc9vZ3CbA+/\n+lANM8sPXnP4+a3NfOTuV5heFuAPH11KXtbAobnXi9ub+eCvVpAwhgkFWTx743mjaixwU1eEz/zx\nVV7e0cr7l1ayvz3MM1uauOtDi3nT9JJMF09ERERERE4iRxucT4o1Xd53WhUWFl96cD0rdrbidTm4\naE7Zkd84TD7xpsm0h6Lcs7yWc2eWctGcMs6dUdo37vn8maVce/crXH7bS/z0vQs5b0YpAMt3tPDR\n377C5OJsfveR044YmgHOmFLM15bN4csPbuDiuRWjKjQDlOR4+f21p/G9x1/n9md3APCNy+YqNIuI\niIiISMacFC3Ovf64opabH1jP2+dVcOt7T81gyY5dXUcP1/5mJZvrO/nqpXOYMy6PD/5qORX5Wdx7\n3dK+8cxH66XtLSyYmD9gl+jR4qlNDTR2Rbh6yeGXHRMRERERETleY6qrdn9r97RTVeQn3+/JUKmO\nX3ckzmfvXc2TmxrxOB2ML8jivuuWUpqrdWtFRERERESG2tEG53Su45wR8yfmj8rQDJDtdXH7B2r4\n+DmTmVmRwx8+eppCs4iIiIiISIadFGOcTyZOh8XNF2dm/WkRERERERE51EnX4iwiIiIiIiIylBSc\nRURERERERAYxqicHsyyrA9ia6XKMAJVAbaYLMQLkAR2ZLsQIoPpgU32wqT7YVB9sqg+qC71UF2yq\nDzbVB5vqg22s1YcqY8wR174d7cH5DmPMdZkuR6ZZltV0NH/YJzvVB5vqg031wab6YFN9sKk+qC70\nUl2wqT7YVB9sqg821YeBjfau2o9kugAjRHumCzBCqD7YVB9sqg821Qeb6oNN9UF1oZfqgk31wab6\nYFN9sKk+DGBUB2djjCq3TV1KUH3oR/UB1Yd+VB9QfehnzNcH1YU+Y74ugOpDP6oPqD70o/owgFEd\nnKXPHZkugIwoqg/Sn+qD9Kf6IL1UF6Q/1QfpT/VhAKN6jLOIiIiIiIhIuqnFWURERERERGQQCs4i\nIiIiIiIig1BwFhERERERERmEgrOIiIiIiIjIIBScRURERERERAah4CwiIiIiIiIyCAVnERERERER\nkUEoOIuIiIiIiIgMQsFZREREREREZBAKziIiIiIiIiKDUHAWERERERERGYSCs4iIiIiIiMggFJxF\nREREREREBqHgLCIiIiIiIjIIBWcRERERERGRQSg4i4iIiIiIiAxCwVlERERERERkEArOIiIiIiIi\nIoNQcBYREREREREZhIKziIiIiIiIyCAUnEVEREREREQGoeAsIiIiIiIiMggFZxEREREREZFBKDiL\niIiIiIiIDELBWURERERERGQQCs4iIiIiIiIig1BwFhERERERERmEgrOIiIiIiIjIIBScRURERERE\nRAah4CwiIiIiIiIyCFemC3AiiouLTXV1daaLISIiIiIiIqPQqlWrmo0xJUc6b1QH5+rqalauXJnp\nYoiIiIiIiMgoZFnW7qM5T121RURERERERAYxqlucRURERERETkaJpCGWSKYehngiSTSRJJ6wjycN\nGAwAxtgPsI/17vdyOix8bidelwOvy9G373Kmvx3VGEN7KMbeth52t3azuyXEntaQvW0L8eR/vAmf\n25n2cpwoBWcREREREZEhkEwa2ntitAQjNAejtHRH6OiJ0R2JE4wk7G04TjAapzsS7zsejMTojiSI\nxBLEEoZYMnlI+E2HLLeTbK+LHJ+LgDf18LnISW2zU8eyPU5cTgdup4XT4cDlsHA5LWKJJKFogp5o\nwt7GEnSFYzR1RWjojNDUZT+iieRB31sc8FBZ6KemqoCeaELBWURERETkZJRIGjp6YoRjCWKJJNF4\nkkjcbhGMpbbRuN1aGInbLYZmgCTkcTko8HsozPZQFPBQ4PeMihAxViWThn3tPdS2hqhttVtO97TZ\nz/e19dDaHSE5SODN9jj7wmjA5yLb42J8voeAN0C214XP7cSdCqhupwOX08LjtIOq2+XA7XDgdlm4\nHA6cDgsAK/XZlnXgmWUdOA52fY3Ek4Rjib5tTyzRL7jHCYZjBCNx9rSGCKZCfVc4TnywH+gN3E6L\ngNdFSY6X0hwfk4uzKcm198fnZ1FV5Key0E+2d/TF0NFXYhERERGRNDDG0BaKUdfRQ31HmPrOMPUd\nYeo6wjR1RWgPRWnvidHWHaUzHE9bObI9TgqyPRRleyjItkN1od9DbpYbj8uB2+nA43LgcVp9zw8c\ncxw4x+nA47LwOJ24XXYAy/HZnyGHZ4yhpTtKbWuI3S3d7GiyH9ubguxs7iYSP9B66nJYjC/IIkiN\nGgAAIABJREFUYmKBnwtnlVKS46Uo20NRwEtRwENRtpd8v5tsrwu/24nDYQ3yzSOPMXbgDkUTxBNJ\n4knT14U8njS4nQ78HidZHidZqdB/slJwFhEREZGTXjyRpCkYsQNxKgw3dNrb3oBc3xkmGj+4S6nD\ngtIcHyU5XgqyPVQVZVPgd5Pv95CX5SbL4+wLq/2D60Ah1hogM0XiSdpCUVqCUdpCUVq7D+y3pPa3\nNgRp6Y4QjiUP/YDj4Pc4yc9yk+f32NssN/l+N3n+1H6Wh3y/m7JcL+V5WZTmeE+6QBSNJ9nbdqDV\neHdL6KBW5O5oou9chwWVhX4mlwQ4e1oxk0sCfS2n5bm+YRknnCmWZY+NVi8IBWcRERERGeXCsQSN\nnRG7pbg3DPcG5M4wDR1hGrvCh3Sh9TgdlOf5KM/zsWBiPhV5PspyfVSkjpXn+SgJeEdMMOqbKCpu\niCTssbC93cGjb+gmfuCY6TsWiSXoCsdp74nR0ROjPRSjoyfKjuYg7aEY7T2xQ24cgN3ttyTg7fu9\nVORlpbY+ynPtY/lZHgI+V1/34XTobf20HwkisQP70b7j9s/Zu9/ZE6M5GKElGKU5GKG5O0pTp10v\n+vec97ocVBbaYfj0KUV9+1VFfiYW+vG6FBzHOgVnERERERnResdd9o4n7d3vbS1u7Y4e8p4cr4uy\nVLibXlrcF4QPhOMsCvxurIGagUeo3i7ZeADcafmOcCxBeyhGWyhKQ7+u6r03IXY2d/Pi9ha6DtNV\nPcfrIjfLTU5qYqnesbq943ZdTgeJhCGeTM0UnbRvBMSSB2aLjvd2BU6YAyE5nhww1B8Np8Pq6z5d\nHPAwpbiICYV+qgr9VKZajksC3lHXjVqGl4KziIiIiIwI4ViCbY1BtjR08Xp9F5vr7W19Z/ig8wJe\nFxMKshifn8XCyvy+Vk+7JdRLWa6PHF96guXJzud2Up7npDzPx6yK3MOeF4zE+1r16zvDdPTE6OyJ\n0RmO0dkTpzMcIxSNE0sYgpF4X0t5LJm0Z2R2HDwBVsDtSs3UbHdrdzntc7xuR2oJpdRSSm77dW+/\npZW8Lueh56X2Az4X+VluhWI5YQrOIiIiIjKskklDbWuIzfVd/UJyJ7taQiRS/ak9TgdTSgOcPqWI\nqaX2mNKJBXbrYP4oayk+GQW8LqaWBphaGsh0UUSGhYKziIiIiKRNa3eU1/Z3srm+sy8kb2kI0hOz\nJ1+yUhMvzSjL4eJTKphRnsPM8hyqi7JHzNhiEREFZxEREREZMh2hGC/vbOGl7fbj9YauvteKAx5m\nlOdw9ZJKZpbnML08h+llAfweXZKKyMimf6VERERE5LgFI3Fe2dXaF5Q37O/AGPC5HSyuLmTZwnEs\nmJDP9PIcigPeTBdXROS4KDiLiIiIyFELxxK8uruNF7e38OL2Ztbt7SCeNHicDhZW5vO5C6Zz+pQi\n5k/M0xI+InLSUHAWERERkcOKxpOs29veF5RfrW0nGk/idFjMm5DHx980mdMnF7OoqoAsj4KyiJyc\nFJxFREREpE8iadiwr4OXdrTw4vYWXtnZSk8sgWXB7Ipcrjm9ijOmFFNTXaAln0RkzFBwFhERERnD\nkknD6w1dvJgao7x8Zwtd4TgA00oDXFkzgdOnFLN0ciH5fk+GSysikhkKziIiIiJjiDGGHc3dqaDc\nzMs7WmntjgJQVeTn7fMq+oJyaY4vw6UVERkZFJxFRERETnItwQjPb2vm+a3NPL+tmbqOMAAVeT7O\nnVHCGVOKOX1KEePzszJcUhGRkSmtwdmyrM8DHwUMsB74MOAH7gOqgV3AlcaYttT5NwPXAgngBmPM\n4+ksn4iIiMjJKBxLsGp3G89tbea5rU1s3N8JQK7PxZlTi/n0+cWcOaWYqiI/lmVluLQiIiNf2oKz\nZVnjgRuA2caYHsuy/gRcBcwGnjLGfMeyrJuAm4AvWpY1O/X6HGAc8KRlWdONMYl0lVFERETkZGCM\nPU75uS3NPLetmRU7WwjHkrgcFqdWFfCfb57O2dNLOGV8Hk6HgrKIyLFKd1dtF5BlWVYMu6V5P3Az\ncG7q9buBp4EvAsuAe40xEWCnZVnbgCXAS2kuo4iIiMio09gZ7ut+/dy2Zpq6IgBMKcnmqsWVnD2t\nmNMmFxHwamSeiMiJStu/pMaYfZZlfR+oBXqAJ4wxT1iWVWaMqUudVg+UpfbHAy/3+4i9qWMHsSzr\nOuA6gMrKynQVX0RERGRE6Y7EWbGzlRe22eOUN9d3AVCY7eHMqcWcPa2Ys6YWM07jlEVEhlw6u2oX\nYLciTwLagT9blvX+/ucYY4xlWeZYPtcYcwdwB0BNTc0xvVdERERktIjEE6yubefFbc28sL2FtXva\niScNHpeDmqoCvvjWmZw9rZjZFbk41P1aRCSt0tl350JgpzGmCcCyrAeAM4AGy7IqjDF1lmVVAI2p\n8/cBE/u9f0LqmIiIiMhJL5E0vLa/kxe2N/PCtmZe2dVKOJbEYcEpE/K57pzJnDm1mEVVBfjczkwX\nV0RkTElncK4FllqW5cfuqn0BsBLoBq4BvpPaPpQ6/2HgHsuyfog9Odg0YEUayyciIiKSMcYYtjd1\n82IqKL+8o5WOnhgA08sCXLW4kjOmFHHa5CLystwZLq2IyNiWzjHOyy3Luh94FYgDq7G7WAeAP1mW\ndS2wG7gydf7G1Mzbr6XOv14zaouIiMjJIpZIsrO5m3V7O1Ldr5tp6LQn9Bqfn8VFc8o4c6q9nnJp\nji/DpRURkf4sY0bvMOGamhqzcuXKTBdDREREBLDHJTcHozR1RWjqirCzOcjmui421XexvTFINJEE\noCjbw+lTijhzajFnTCmislDrKYuIZIJlWauMMTVHOk/rE4iIiIgMIpZI0pIKw81BOxA3pbbNb9h2\nhuOHvL8818fMihzOmV7MrPJcZo/LZWpJQBN6iYiMIgrOIiIiMubEE0laQwdahpvfEIz7b9tCsQE/\nI8frojjHS0nAy4zyHM6aWkxxwEtJjpfigJfiHC9VhX4Ksj3D/NOJiMhQO2xwtiwrd7A3GmM6h744\nIiIiIscnmTS0hqIDhN9DQ3FLd5SBRqv5Pc6+4DulJMBpkwspCfgozvFQkgrDJalwrJmtRUTGjsFa\nnDcCBrCwZ7nuSu0HgP0cvHSUiIiIyJAzxtAeig3QRfrQrtOt3VESyUPTsNfl6AvDEwv9LKwsoCTH\nS0nA03e8d5vtVWc8ERE51GH/dzDGTASwLOsXwD+MMQ+nnr8DuHh4iiciIiInG2MMneH4IS3DA7US\nt3RHiCUODcNup9XXAlyR52PehLyDArC9tYNxwOvSxFsiInJCjua26pnGmE/0PjHGPGJZ1rfSWCYR\nEREZZYwxdEcThx0nbLcKR2lOtQ5H48lDPsPlsCjq1wo8szynr2v0gS7SHkoCPnKzFIZFRGT4HE1w\nrrMs6ybg96nn7wMa0lckERERGSmMMXT2xGnoCtPQGaahM0JDZ5jG1H5jV5imYITmrig9scQh73dY\nUJh9oAV4Skl23xjh3pbh3v38LLdmmhYRkRHpaILze4GvAY+mnj8LXJ22EomIiEjaGWPoisRp7AzT\n2BlJBePeUGxvG7rs/cgArcO5PhdluT5Kc70sSo0ZPrSrtJfCbA9OhWERERnljhicjTHNwPXDUBYR\nERE5QeFYgpbuKC1Bu4t0czBKS9Ceabqx6+DW4oFaiANeF6W5XspyfJxaWWCH4xwvZbm+1MNLaY6P\nLI9mlBYRkbHjiMHZsqypwH8A1f3PN8a8JX3FEhEROfkZY4glDJF4gmg8STSRJBKzt9F4kkg82fda\nOJagKxwnGIkTTG07wzFagtF+QTlKMBIf8Luy3M6+0Dt3fB4XzLJDsB2MU4E410dAs0qLiIgc4mj+\nd7wf+BX2GOdDb02LiIiMQcmkoTMcoy0Uo7U7SnsoSlsoRnsoSmv3wfsdPTHCsYPDcSQVjo+Xz+0g\n4HVTlO2hKOBh3oR8igIeigPe1DGvPdFWauv3KBCLiIgcr6P5XzRpjPlp2ksiIiKSYf1nhu59NHaF\nDzzvt2xSy2HWDAZwOiwK/G7y/R4K/G4mFPjJ8jjxuhx4XA48TgdetwOvM/Xc5cDrch70mucNr/nc\nDnJ9bgJeFwGfC7fTMcy/HRERkbHraILzQ5ZlXQc8CER6DxpjOtNWKhERkSGQSJpUS7A9zrctFKW1\nO0Zrd+TANmRv27pjtHRHCMcGXiapd8Krslwfc8flUZzjoTDbS4HfTUG2h4JUSM73e8j1aakkERGR\nk8nRBOePprb/3e+YASqHvjgiIiID650Fur07ZgfgUJS2brsrtN01+kA4bum2X2vviWEGbhQm2+Ok\nMOCh0G93b55elkOh39O3PFLfI+ClwO/RMkkiIiJj2NHMqj1xOAoiIiJjSzJpaA1Fqe84sD5wWyoM\nt4VidPTY27ZQlI5QjPae2GG7RrscFgXZdgguyHYzqzyXgmw3hdleClMtwkXZXgqy3RRle8n3u/G5\nNSu0iIiIHJ2jmVU7C/gsUGWM+WRqlu1pxphHj/BWERE5ycUSSTp7YnSG7Zmew/EE4ViCcMyeBbon\nlqA91QLcGrRbhpu7ozSnxg7HEocGYb/HSX6W3eU532+H4Hy/m3y/mwK/h7wse1uQ7aEw9VDXaBER\nEUmno+mqfRewHjg79Xw/8GdAwVlE5CRjjKE9FKO+M0x9R5jGrjDNqTWA7fWAI7QEo7T3ROnsiQ+4\nDvBA3E6LwlSrb1HAw6QiP+V5WZTneinPs9cHLs/zUeD3qCVYRERERpyjCc7TjDFXW5Z1BYAxJmTp\ntr6IyKhjjKE5GGVPW4iGjjB1qS7SdR1h6jvt/fqOMJEBlkjK8booCthLHFUV+Vngzyc3y0Wuz01u\nlpvcLBcBrxuf24HP7cSXmgXa53aS53eT41WLsIiIiIxeRxOco5Zl+bAnBMOyrElANK2lEhGR4xKN\nJ6nr6GFfWw9723uobQmxs6Wb3S3d7GoOEYzEDzrf43JQnuujPNfH/An5XDTHbv2tSLUCl+V6KQ54\n1QosIiIiY9rRBOevA48BEyzLuht4E3BtWkslIiID6o7E2dvWw772UF843tfWw772Hva399DYFTlo\nFmmnw2JCQRbVRdnUVBVSVeSnstBPRV5Wqmu0Wy3BIiIiIkcwaHBOdcleC1wBnAFYwI3GmMZhKJuI\nyJjU0ROzW4hbQuxuTm1Tz5uDkYPO9TgdVOT7GJ+fxTnTShhfkMW4/Cwm5Gf17budjgz9JCIiIiIn\nh0GDszHGWJb1T2PMXOChYSqTiMhJzRhDWyjGrn5dqPuCcks3baHYQedX5PmoKvJz4axSKov8TCzw\nM77ADsfFAa/WFxYRERFJs6Ppqr3GsqyFxpjVaS+NiMhJJJk07GvvYUtDF1sagmxp6GJbY5BdLd10\nhQ+MNbYsGJeXRXWxn4tPqaC6KJuqIj/VxdlUFvo1vlhEREQkww4bnC3Lchlj4sBC4BXLsrYD3djd\ntY0x5tRhKqOIyKjQHIywandb32NzXSfd0QPLNVXk+ZhaGuCdleOpKsqmushPVVE2Ewuz8LoUjkVE\nRERGqsFanFcApwKXHs8HW5Y1A7iv36HJwP8Dfps6Xg3sAq40xrSl3nMz9sRjCeAGY8zjx/PdIiLp\nlkwatjUFWbmrjZW7W3l1dxu7WkKAPVP1vPF5XFEzkellOcwoDzC1NIe8LHeGSy0iIiIix2Ow4GwB\nGGO2H88HG2NeBxYAWJblBPYBDwI3AU8ZY75jWdZNqedftCxrNnAVMAcYBzxpWdZ0Y0xiwC8QERlG\noWicNXvaWbWrjVW1bby6u43OVHfr4oCHUysLeO9plSyqKmTu+Fy1IIuIiIicRAYLziWWZf3H4V40\nxvzwGL7nAmC7MWa3ZVnLgHNTx+8Gnga+CCwD7jXGRICdlmVtA5YALx3D94iIDIm6jh5W7W5j5S67\n2/VrdZ0kkvY6T9PLAlwybxw1VQUsqiqgqsivJZ1ERERETmKDBWcnECDV8nyCrgL+mNovM8bUpfbr\ngbLU/njg5X7v2Zs6dhDLsq4DrgOorKwcgqKJyFgXTyTZXN9lB+XddmvyvvYeALLcThZMzOdT507h\n1KoCTp1YQJ5fXa5FRERExpLBgnOdMebrJ/oFlmV5sMdJ3/zG11LLXZlj+TxjzB3AHQA1NTXH9F4R\nEYDOcIzVte2pSbxaWVPb3jeJV3muj0XVBXz07EnUVBUysyJH6yCLiIiIjHFHHOM8BN4GvGqMaUg9\nb7Asq8IYU2dZVgXQmDq+D5jY730TUsdERI5bNJ5kS0MXG/d3sG5vB6t2t/F6QxfGgMOCWRW5XL5o\nAouqC1lUVcD4/KxMF1lERERERpjBgvMFQ/QdV3OgmzbAw8A1wHdS24f6Hb/HsqwfYk8ONg17Zm8R\nkaPSGY6xua6LTXWdvLa/kw37O9jS0EUsYXdOyfG6WFhVwNvmVlBTXcCCiflke49mOXsRERERGcsO\ne8VojGk90Q+3LCsbeDPw8X6HvwP8ybKsa4HdwJWp79toWdafgNeAOHC9ZtQWkYEkk4ba1hCb6jrt\nR70dlve29fSdU5jtYc64XD569mTmjMtl7rg8Kgv9OByaxEtEREREjo1lzOgdJlxTU2NWrlyZ6WKI\nSJoYY6jvDLOjqZsdTUE2pwLy6/VdfWOSHRZMKs5mVkUusypymZ3aluV6NdO1iIiIiAzKsqxVxpia\nI52nPooiknGhaNwOx812QN7R1M32piA7m7sJRQ90PMnxuZhVkcsVNROZWZ7DrIpcppflkOXRmski\nIiIikj4KziKSNpF4guZglOauCM3BCE2pbXMwSlMwQnNXhD2tIfZ3hPveY1kwPj+LySUBFlcXMqUk\nmyklASaXBNSKLCIiIiIZoeAsIhhjiMSTdIXjBCNxuiNxQtEEoWicnmiC7miCSDxBLJ4kljDEkkli\ncUM0kaA7kiAYiROKxglGEnRH4rSFojR1RegKxwf8vhyvi+IcL8UBD0smFfYF48kl2UwqzsbnVguy\niIiIiIwcCs4iJ5l4IklLd5T6jjANnWEauiI0dYbpDMfpDMfscByO0xWx9+1HrG/m6WPhdFj4PU4C\nXhfZqUfA62RWeS5nT/VQHPBSnOOlJLUtDtjHFIxFREREZDRRcBYZBZJJQ0dPjLZQlLZQlNbuGG3d\n0VQwDlPfEaGxK0x9R5jmYITkGzKwZUHA6yLX5ybH5yLH56Ik4GVycSD1/MDx3hDs9zjxe3q3Tnxu\nJ26nA7fTSm0dODVDtYiIiIiMAQrOIhlgjKEzHKepyw68TV32+N+mYIS2bjsYt4eitIaitHVH6eiJ\nHRKGexX43ZTl+ijL9TGzPIfyXB+lqefluT7Kcr0UBbwKuSIiIiIix0nBWWQIGGPY3xFmb2uI1u4o\nzd1RWoIRWoJRWlPBtzMco7MnZneZ7okRHyAJe5wOCrLdFPg9FGZ7mFWeS0G2m0K/h/zUsYJsDwV+\n+5ySHHV7FhERERFJNwVnkWOQTBr2tvWwtbGLrY1BtjYE2dbYxbbGYN+6wv0V+N0UZHvIz3JTmO2h\nuiib3Cy7y3SB30Nprj3+1976yM1yadZoEREREZERRsFZ5A2MMbR2R9nb1sO+9h52NneztcEOytub\ngoRjyb5zy3K9TCvN4crFE5lWmsPEwiyKA16KAh4K/B7cTkcGfxIRERERERkKCs4y5iSThuZghD2p\nYLy3LcS+tp6+oLy3LXRQOAZ7XeGppQFOn1zEtLIAU0tzmFoaIC/LnaGfQkREREREhouCs5w0jDG0\nh2I0dIVp6IzQ0BmmsfPAfkNXhMZOeyKuN44vLvC7mVDgZ2pJgHOnlzC+IIsJBX7G52dRWeQn4NVf\nFRERERGRsUppQEaFWCJJfUeYfe097G/vob4zTGNvIE6F46auCNFE8pD35vvdlOZ4Kcv1MbWkmLJc\nL+V5Pib0C8fZCsYiIiIiInIYSgsyYoRjCXa1dLOjqZudzd1sbwpS2xJiX3sPDZ3hQ5ZjyvG6KM21\nA/GSSYX2fo4vtTSTfVyzTouIiIiIyIlScJaMaOqKsGF/Bxv3dbBhXycb6zrY29aD6ReOy3N9VBb5\nOX1KERPysxiXn8X4AntbnutTK7GIiIiIiAwLJQ9JK2MMdR1hNuzrYMP+Tjso7++goTPSd86k4mzm\nT8jn8lMnMqkkm8nF2UwqzlYwFhERERGREUHJRIaMMYY9rT1s2N9xUFBu6Y4C4LBgammAM6cUM2d8\nHnPH5TJ7XC45Ps1MLSIiIiIiI5eCsxw1YwyhaIKGzjD1HWH2d4Sp7+ihriPMjqZuNu7voDMcB8Dl\nsJhelsMFs0qZOz6POePymF2RS5ZH441FRERERGR0UXAeY8KxBJ09MTp6YnSGY3T2xFPbGJ3heGp7\n4HhHz8GvvXEZJ4DCbA8TC7J4+/xxzB2Xx9zxucwoz8HrUkgWEREREZHRT8H5JNATTdAcjNAUtJdk\nauqK2M8P2kZp6orQE0sM+lk+t4Ncn5vcLDe5PheF2R6qi7LJzXL1HS/N8VKRl0VFno/yPJ9mrRYR\nERERkZOagvMIlEga2kJR2rqjtHQf2LZ2R2kOHhqGg5H4gJ9TmO2hJOClOMfDqZX5lOR4Kcz2kpfl\nPigI5/pc5Ga5yfG51EosIiIiIiLyBgrOaRSNJ+mJJeiJJghF4wQjcVpTAXjAR8jedvTEDlqWqb9c\nn4uSHC/FAS9zxuX27ZfkpB6p/cJsD26nY3h/YBERERERkZOQgvMJeHjtfv68ck8qGCfoidkBORS1\nw/JA44H7czosCvweirI9FGS7mVWeS0G2m8Jsb+pY6jW/h6KAh3y/Wy3CIiIiIiIiw0zB+QSEowk6\nw3H8bicVeW6yPE78Hid+j8vedzvJ8jj7jmd7XBQFPBRmeyn0e8jNcmFZVqZ/DBERERERERmEgvMJ\nuHLxRK5cPDHTxRAREREREZE00iBYERERERERkUEoOIuIiIiIiIgMwjKHm755FLAsqwPYmulyjACV\nQG2mCzEC5AEdmS7ECKD6YFN9sKk+2FQfbKoPqgu9VBdsqg821Qeb6oNtrNWHKmNMyZFOGu3B+Q5j\nzHWZLkemWZbVdDR/2Cc71Qeb6oNN9cGm+mBTfbCpPqgu9FJdsKk+2FQfbKoPNtWHgY32rtqPZLoA\nI0R7pgswQqg+2FQfbKoPNtUHm+qDTfVBdaGX6oJN9cGm+mBTfbCpPgxgVAdnY4wqt01dSlB96Ef1\nAdWHflQfUH3oZ8zXB9WFPmO+LoDqQz+qD6g+9KP6MIBRHZylzx2ZLoCMKKoP0p/qg/Sn+iC9VBek\nP9UH6U/1YQCjeoyziIiIiIiISLqpxVlERERERERkEArOIiIiIiIiIoNQcBYREREREREZhIKziIiI\niIiIyCAUnEVEREREREQGoeAsIiIiIiIiMggFZxEREREREZFBKDiLiIiIiIiIDELBWURERERERGQQ\nCs4iIiIiIiIig1BwFhERERERERmEgrOIiIiIiIjIIBScRURERERERAah4CwiIiIiIiIyCAVnERER\nERERkUEoOIuIiIiIiIgMQsFZREREREREZBAKziIiIiIiIiKDUHAWERERERERGYSCs4iIiIiIiMgg\nFJxFREREREREBqHgLCIiIiIiIjIIBWcRERERERGRQSg4i4iIiIiIiAxCwVlERERERERkEArOIiIi\nIiIiIoNQcBYREREREREZhIKziIiIiIiIyCAUnEVEREREREQGoeAsIiIiIiIiMghXpgtwIoqLi011\ndXWmiyEiIiIiIiKj0KpVq5qNMSVHOm9UB+fq6mpWrlyZ6WKIiIiIiIjIKGRZ1u6jOU9dtUVERERE\nREQGoeD8Bv9YX8cFP3iarnAs00XJqF+/sJN3/vwF4olkpouSUbc8uomP3q1eDZ+/bw1f+ev6TBcj\n46664yV+9u9tmS5GRkXjSd78w2e4f9XeTBclo1q7o5z5nX/xzJamTBclo3Y0BTn9lqfYuL8j00XJ\nqBU7Wznru/9if3tPpouSUY+s3c+FP3yGYCSe6aJk1J3P7eBdP3+BRNJkuigZ9e1/bOLjv9M11A1/\nXM3/PLQh08XIuCt/8RI/f3p0X0MpOL/BExvr2d7UzR9X1Ga6KBn16IZ6Vte28+iG+kwXJaP+sb6O\nJzc1sHJXa6aLkjGxRJJHN9Rxz/JaaltCmS5OxjR1RXh5Ryu3Pb2dzjF8Y21zfSdbG4P83z+3jOkb\nayt2trKvvYf/++cWjBm7F8fPbmmiriM85m8oPbWpgb1tPfzq+Z2ZLkpGPfFaA9sag9w7xq+hHttQ\nz6u17Tw2xq+h/r6ujsc3NvBqbVumi5Ix0XiSxzbW8/vltextG7vXUA2dYVbsauW2f28f1Y2TaQvO\nlmXdZVlWo2VZG/odK7Qs65+WZW1NbQv6vXazZVnbLMt63bKsi9JVriNZu9e+a37X87uIxsfmRWE8\nkWR96vdwx7M7xuxFYUswwp5Wu/Xg9md3ZLg0mbOloYtwLEnSwK+eH7u/h7V72gEIRuLcs3zsXhT2\n/h72tffw9/V1GS5N5qzda/8e1uxp55VdY/eisPf/zMc21LOruTvDpcmcNam/F/euqKUjNHovCk9U\n778Pdz2/k9gYvbEWSyTZsL/3Gmr7mL2GauqKsC/VA+OOZ8butcPr9V1E40kSSTOmb6z1/hvZFYlz\n74o9GS7N8Utni/NvgLe+4dhNwFPGmGnAU6nnWJY1G7gKmJN6z88ty3KmsWwDag9F2dnczdLJhdR3\nhnl47f7hLsKIsK0pSE8swdLJhazf18FL21syXaSMWJe6IFw6uZAnN9l30ceitXsO/B7uW7mH1u5o\nhkuUGWv3tuN0WNRUFXDX8zuJxBOZLlJGrNnTQXHAw5SSbG5/ZuzeWFu7p53pZQEKsz3c8ez2TBcn\nY9buaWdhZT4uh4M7x+iNtUTSsH5fB6dNKqQ7muD3y49qjpmTTmt3lNrWEEsnF7K/I8wC+mZVAAAg\nAElEQVTf1o3Na6jem81LJxeydm8Hy3eOzR5r61I3F5dOLuTx1+rZ0TQ2r6HW9Ps93LtiD+2hMXoN\ntacdl8NiUVUBv3p+56htnExbcDbGPAu88V+LZcDdqf27gcv6Hb/XGBMxxuwEtgFL0lW2w+m9c/6Z\n86cxszxnzN4pXFNr/yX/6qVzKA54x2xr6+o97Tgs+N7l8/E4Hdz53Nj8PazZ00aB383Xl80lHEvy\nu5fG5kXhmj3tzCjL4YYLptHYFeGhNWPzonDNnjYWTMznunMm81pdJy9sG3s31hJJw7q9HZw2qYgP\nLK3iyU2NbG3oynSxhl1HKMaO5m4unFXGOxeO588r99ISjGS6WMNua2MXoWiCq5ZM5OxpxfzmxV2E\nY2Pvxlpva/MNF0xjWmlgzN5Y621Z+9qlcynK9nD7M2PzxtqaPfbN5u9dPh+308GdY7S1dU1tO8UB\nD1+9dA49sQS/f3nsXkPNqsjl0+dPpb4zzCOjtHFyuMc4lxljevv21QNlqf3xQP92+72pY4ewLOs6\ny7JWWpa1sqlpaCdlWbunHcuCef+fvTcPb+us0/4/R5Llfbclx1viJYmXrG2SZmmSpnGaAMPywgzQ\noUM32vKyzQwM8zLbyyzvDDMMhYGh/GgLXaBQKFBooUuWNk3aLG02O3scx7Ek77ZkeZFsy5LO74+j\nI8u2bEuJjnQkz31dviCWLJ8+fs557uf73Pf9Lc3m4W2VNPeM8NaVhRf80tRuJzs1ieXGTO7fsoRD\nzX1c6hqK9WVFHdKJUiZleWn88a2lvHi6g97hsVhfVtTRZBlkdVkOy4yZ7Kwx8OyxNkZdC4sUer0i\nTRY7q8ty2Lq0gNpFWTxxuBXvAgt+GRqb4Fqfg9WlOXxkbQmFmck8vgBPW1v7RhgZd7O6LIdPb1pM\nSpKGJxdgYU2Wq68py+GhbZWMu708uwALa/KGcXVpDp/dXkXf8Di/O9MR46uKPhp9xebVpVJh7XL3\nMIev9sf6sqKOJoud3LQklhkzuG/zEg5e6eNK98IrrDUGcKiP3VLKr0+10ze88AprTe12VpfmUFOU\nxR3LCxdkYc3rKzavLsvmjmWFLDdmxq0VNGbhYKI0WmGPmCiKT4iiuE4UxXWFhfP2qQ4LjRY71YUZ\nZKYk8cHVxSzKTlmQpLDRt1ESBIF7bltMml7Lkwvs1FkURZra7awpywHgM1srmfB6eeZIW2wvLMoY\nGXfT3DvsH4eHt1Vic7j49emFlah83epgaMzNWt998ci2Slp6Rzh4pTfWlxZVyNkHa8pzSNZpuX/L\nEt6+2r/gEpXlE6U1ZTnkZyTzJ7eW8dszHfQMLazCWqOv2LyyNJtqQwYNtUZ+eqwNp2thJSo3Wuxk\npeioKEhnc1U+9cVZPPH2wiusNbVLG6X0ZB0fXlOCMSt5QdoYmgI51MbFpCZpeWKBcSi52Cxzh4e2\nVjDh8fKTY20xva5oQyo2j0zhUP0jLl48vbAKa639UrF5TVkugiDw8LZKrvQM81YcdqWI9sa5RxCE\nRQC+/5VZZwdQFvC+Ut/3ogZRnDxRAkjSanjw9gqOt9r81eSFAKfLzZXuIdaUZgOQnZbEJ9eX83JT\n54Jqs2GyOrE7J/zzoaIgnT31RTx33LSg2mycax9EFPGPw4aKPFaX5fCjt1sXVJsN/4mSbxw+sGoR\nJTmpPL7AAk/kDeOqEmkcPnXbYtL1C48UNlrsZCbrqCxIB+AzWyvweEWeXmCFtSaLnarCDLJSkgB4\nZHslA84JfnVyYRXWAovNgiDwyPYqWvscHLjUE+tLixr8HKpUejbodRoe2FLBkRYr5zsWTmFNLjbL\n45CbrucT68t4uamDrsGFw6HafMXmNWUSl6wszGBXrZGfHDPhWMAcalNlPqtKs3lygXGoM2a52CzN\nB//hZBzaGKK9cX4ZuNf3/+8FXgr4/icFQUgWBKECWAq8F80Lax8Yxepw+Sc3wCc3lJOZoltQpPB8\nxxDegJsc4IHblyAipWQuFMgSRHnxA6lSODTmXlBtNqaPgyAIfHZbJSark70XFk6bjSaLnXS9lmpD\nBiAV1h64vYL32mwLqs1Go8VOZUE62WnSRik7NYm7N5Tzh7NdC6rNRlO7nVVl2Wg0AgCL89N534pF\n/Oy4Ka7bbIQDWZUT+IxctziXW8pz+NE7rQumVZnT5aa5Z1KVA/D+FUWU5qYuKO5gtjkZCCg2A9x9\nWzkZyboFlZMib5TWlE+Ow4O3V+AVWVCFNT93CJgPj2yvYnB0ghdOxm+icrhotMzkUA9vq+R6v4P9\nFxdOYa2pXS42SxxKLqzF4+Gkku2ongeOAcsFQWgXBOFB4N+BXYIgXAUafP9GFMULwAvAReB14POi\nKEbVACBP7rUBN3lGso57Ni7mtfNdmKwLo83G9JM1gNLcND64ahHPv2dmcHRhkMJGi53UJC3LjBn+\n760tz2VDRd6CarPRaLazOD+NvHS9/3t31RexJD+Nxw8tnPC8RoudlaXZaH0bJYBPri8jOzVpwbTZ\nEEWRxgDpnYwHbq9AgAXTZmNswsPlruEZ4/Dwtsq4b7MRDtoHRukfcU3ZIEiksAqLbZTXFkj/2vMd\nQ3i84pT5oNNq+MztFZw0DXDKtDASlQPtCzKyUpL41G3lvHK2E4ttYRTWghXdy/LSeP/KRfz8XTND\nC6Sw1mi2k6bXstSQ6f/erYtzWbc4lx+9fX3BFNamF5sB9tQXUZ6XxuMLKIC4yTI4pdgM8MkNZXF5\nOKlkqvbdoiguEkUxSRTFUlEUfyyKolUUxZ2iKC4VRbFBFEVbwPv/VRTFKlEUl4ui+JpS1zUbmix2\n9DoNy4syp3z//s1LpDYbby8MUthosVOam0pBRvKU7z+8rQqHy8PPFkibjUaLnZUl2ei0U2+RR7ZV\n0jk4xitnF0b/2uknSgBajcCDWysXTJuNcbeHi11DU4pJAOnJOu7ZWM7ei91cXwD9a7sGx+gbHp8x\nDsU5qXxodTG/PLEw2mxc6BzE7RVn3Bery3LYWJnHU0fit81GOPAHg00bh111RioK0uM2+CVcyMXm\nVdPG4ePry8hJS1owdo5Gi52UJM2UYjPA/Vsq0GqEBVNYazTbKc+bWmwGiTuMjLt5/t2FoVhrbB9k\nZcnUYjNIBcYO+yivnEt8DiUXm6evmTqths9sreCM2c5JU+Ir1sYmPFzqGpqxZmamJPGp2+LvcDJm\n4WBqQ6PFzoriLJKmbZQMWSn8r7UlvHDSsiDabAS7yQHqirPYurSAp4+0JXz/Wpfby4XOIVb7vBiB\n2LHcwFJDBj9cAKetPUNjdA2OBZ0Pf3Jr6YJps3Gxc4gJjzhjgwBw7+YlJGkXRqJyMDWKjIe3V+J0\nLYw2G42+vubTT5xBkiJ2DcZvm41w0GgOXmzWagQe2lrJuY5Bjl1L/FZljRY7JTmpFGZOLTan6XV8\neuNi9l/q4doC6F/bNEuxuSg7hQ+vKeGXJywMOBK/sBYYKhqIFSXZbKnOXxCFtXG3h0udQ0HHoaHW\nSGVh+oJoVeYvNpfO5JJ/cmsZuWlJC4JDXegckorNQebD/Vvi73DyfzbOwITHy/nOQdaU5QZ9XW6z\n8YsTiS3B6xsep8M+OkWuHohHtkltNl5N8Erhle5hXG5v0Pmg0Qg85Guzcbw1sU9bg0nvZKQkafn0\nJqnNRluCn7bKG8ZASaoMQ2YKH7ulhF+fak94CV5jux29VkPtoswZr9UUZbF9WSHPHjMlfJJwk8VO\ncXYKhqyUGa/JbTaePho/JOBG0dQuFZv1upk04qO3lFCQoefpo23Rv7Aoo9FiD/psAPj05iXotRp+\nkuDjIHGo4BslkE4ZRyc8/DLBva1zFZtBUu71DI3z2vnE5lCXuoZxebxB54NGI/Dw1koudg1xoi2x\nT1snucNMLpmqlzjUgUu9mK2JbWNoCmKFlWHMSuEja4v51SlL3ATv/s/GGWjuGWZswhv0hBGg2pDB\nypJsDsdhbHo4mOtECWBLdT4FGXoONyd2X8ZGi/Qwn20+fGDlInQagcNXE38+6DQC9cVZQV//yNpi\nAN5O9HFoH8SQmUxRkI0SwIfXlOBye3kv0QspZju1xVkk67RBX//I2mL6hse51J3YPd9nU+WA5PH9\n0JpizncM0Z/ACiW3x8u5jsFZxyElScueFUUcbelP6DwIudgcTI0CUJCRzNalBQnfy/hyl1Rsnm0+\nLDNmUrcoK+E51FzFZoCt1QXkpes5lODjMB+X/MCqRWg1QuLPhzmKzQAfWVsCwNstCT4OFjuLZik2\nA3xkTQljE15OxIn17382zgQGgwU/cQbYXJXPGbOdUVfiypSb2u1oNQIrioNvGAVBYFNVAUda+hNa\nYtNoGaQgI5mSnNSgr6cn61hTlsPRlsQmQ40WO7WLskhJCr5RKs9LoyQnlSMtiS3HlAOxBEEI+vra\n8hySdRqOXEvc+eDxipzrGJxVjQKwqbIAgKMJPB9sDhdmm3NWYgzSWgEktEz5iq/YPPc4FOBweTjb\nHl+JqeFgLjWKjE1VBVzvdyR0O8fG9rk3jCDdFydNA4xNJDCHmqfYrNEIbKrM52iLNcE5lB1DZjKL\nsoNvlDJTklhVmp3QaybMX2xekp/GouyUhF4zYXb7goxbFuei12k4Eiec+n82zkgPu9y0JMrygm+U\nADZV5ePyeDmZwAmZjRY7y42ZpOqD3+QgLX69w+Nc60tcea50k2fPulECaRzOdQwmbMq41ytytn1w\n1lN3kAsp+RxrtSasPNfudHG93zFr5RwgWadl/ZK8hN4otfSO4HR55pwPRdkpVBamczSByVCwFivT\nsbIkm8xkHUcTeD40zeHzlrGxUiogJDIplIvNs22UYLKQktjzwU5Bhn7WYjPA5up8XG4vpxM4DKmp\n3U7NosxZi80gccnuobGEDpRs8qly5uNQZ9sHE7Z9n1xsXhPE3yxjIXCoAYcLk9U555qZkqTl1vLc\nuHlG/s/GGYkEzHeTb6jIQ6cR4uYPGy68XtH/sJsLW6qkU6VjCUqOh8YmuNY3MiP9bzo2VxfgFeG9\nOJGWhIvW/hFGxt3zjsOW6nwGRye42JWY8tyz7fNvEEAihZe7hxNWnuu3L8w3H6oKeO+6LWHluY1m\nOxpB2hzPBp1Ww22VeQn7jITJYnN5Xtqs78lL11O3KCth10yQis3LjJmk6XWzvme5MZP8dH1CF5Qa\nLVL3hbk5VD7aBOdQZy2D864VW6p9ypwEHYdB5wSt/Y75x6GqAI9X5ERbYnKoyWLz/ONgc7i40jMc\npSuLLhqDtGcLhi3V+VzsGoqLAMEFv3EeGXfT3DuzJ+d0pOl1rC3PSdiHXZvVwdCYe04pJkBZXiol\nOakJOw7n2gcRxbmldzApz01UMnTG7LMvzDMOsjw3UU9bGy12BAFWzlE1BkmWCnC8NVHHYZCsFB0V\nBelzvm9zVb5PnjsYpSuLLprapY1SevLsGyWQ5LltVicdCSrPbQzhRAmk+XDKnJjyXLnYPB930GgE\nNlblc+xaYspz5WLzfOOQkaxjdWl2wq6Zrf0jDIdQbJbluYm6ZjaFINuHSXluoipS5GLzfOOwKcEV\nKU0Wqdi8ah4OtSmOONSC3zjLG6X5qkIg/WHPtdsTMj23cZ4wBxmCILA5gaUl8jisKpl7HBJdntvU\nbicjWUdlQcac70t0eW6TxU5VYQZZKUlzvm9FcVZCy3ND3SjJ8txEPG0VRZ8qZx5iDIntc5aLzSGN\nQwLLc+Vi85o57AsyNlfl0zU4RlsCpueGw6E2VxXQ1D4YN+m54SDUYnOiy3Nl3/98xeZ4k+eGC7nY\nvCR/7mJzcU4qFQXpCblmgsQdlhrmLzavKs0mXa+Ni/mw4DfO/g1jiGTIK8K7CZie22Sxk67XUm2Y\ne6MEEhmyOxNTnttosVNZkE522twbJZAqhYkqz2202FlVmo1GM/dGCaT7IhHluaIo+iWI80GW5yZi\nYJzT5aa5Z35VDkCuT56biIFxZpuTAedESBuE5cZM8hJUnutX5YQwDuuX5KHVCAkZAhRqsRkmFSnx\nEn4TDsLlUB6vyHvXE+/50NRuJzOEYjNI8yFR5bmNFjtVhenzFptBmg8Xu4awxYE8N1zIxeZQONSm\nqnzebbXhTkAOJVlA5y8uJmk1bKjIi4u1YsFvnJssdhbnp5GXrp/3vYksz21sH2RlaTbaUG7yBJXn\nyhulUAghTJ4qxYO0JByMTXi43BXaRgkkj04iynPbB0axOlzzyvZlJKo890LnEB6vGNZ9kYjy3Pla\nzQRCTs9NRHluKAFpMjJTknzy3MR6RoLEHdL0WpYagreaCUQiy3Obwig2J7I8t8kyyKqy0IvNkHjy\nXFEUfeGqs3eoCcTm6viR54aDcIrNIM2H4XE35zoSi0NZbKMMOCdCnw9VBbT2OegeHFP4ym4O/7Nx\nbg/tRAkSV5477vZwqXMoJCIEiSvP7Roco294PORxkNNzE+107ULnEG6vGPI4TKbnJtZ88Hu1Qnw+\nJKo8t9Ec+kYJElee22ixk5qkZZlx/hMlkE4RugYTLz23yWKnPC+0YjNIZCgR03Mb2wdZWRJasTlR\n5bl+VU6Iz4ZEleeOTXi41DUUMpeU5bmJtmZ22EfpH3GFZF+AQHluYo2DXGwOdT5sqkzMQsoZOVQ0\nxPkg+72Ptap7Psy5cRYE4Za5vqJ1kUqhZ2iMrsGxkKtCkJjpuZe6hnF5vPMGgwUiEdNzm8I4UYLE\nTc+d7Gse2jjkJmh6bqPZjl6noWbR/CdKkLjpuY3tdkpzUynISA7p/YmanttksbOyJBudNrR6c6Km\n54ajyoFJeW4ipefKxeZQ1SiQmOm53UNj9A6PhzUf4ik9N1SEW2wGnzz3emLJcydVOaGdMMry3IR7\nRoZZbM7PSKamKDPhiu5NlkFSkjQsN4bGoeoWZZGTlqR6Rcp8DODROb6+peylKY9wPEoyEjE9t+mG\nxiHx0nMb2+3otaFvlCAx5blNFjuLslMwZKWE/DOJKM9tarezojiLpBA3SomanhtKm7pAJGJ67oTH\ny/nOoZAr55CY8ly52BzOfEhEea5cbA5VjQKJmZ57I9whntJzQ0VTmMVmkNbMkQST5zZZpGLz8qLQ\nOVS8yHPDQWO7nZKcVAozQys2gzQOJ9psjLsTi0OFU2yWLU5HVc6h5vyvEUVxxxxfd0brIpVCo8WO\nTiNQX5wV8s/I6bmJJM9ttNgxZCZTFMZGKRHluY1mO7XFWSTrtCH/TCLKc0MNxApEoslzJzxeznUM\nhkUIYTI9N1Hkuf0j47QPjIa1QYDJ9NxEkede7hrG5faGNR8SUZ47eaIUegFBluceSaRnpFmWIIY+\nHxJRnnvGIhWba8MoNsvy3HgIAQoVjTdQbE5EeW6jxU59cRZ6Xegu0MmCUgLNB3N4qhyQuMO428tp\nk12hq4ouJjxezncMhs8lq/LpsI9itqm3A0HIs1sQhBWCIHxcEIRPy19KXlg00GSxU7soi5Sk0DdK\niSjPlXtRztdqJhCJJs/1eEXOdQyGVTGGxEvPtTlcmG3OsCSIkHjy3OaeYcYmvDew+CWWPNdvXwhz\nPiSaPLcxxN6k05Fo6blN/mJz6BtnkOS5lxIoPbepfRBDZjKLskPfKEHiyXObLOEXmxNRnisFYoX3\nbEg0ea7bV2wOdxz88twEGYe+4XE67KNhj8OGyjw0QuK0crzSPcy42xs2d9gUBxwqpI2zIAhfB/7b\n97UD+CbwIQWvS3Fc7RnmtHlg3p57wZBI8tz3rtto7Xewtjw0T0ogEkme+4eznThdnrDnQ6Kl575w\n0gKEJzmDxJPnvnBCHofw7otEkud6vSIvnLSQpA1PlQOJJc91ub389nQ7hZnJlOSkhvWziSTPHRqb\n4LXz3dQVh1dshsSS53YNjnKouY+15eEVmyGx5LnNPcOcMdvDXisgseS5x65ZMVmdN8QlE0me+/uz\nnYxNeMPmkgnLocKcD1kpSawszUmItQLglz4OFW4BoaowHUNmsqrHIdQT5z8GdgLdoijeD6wGwis5\nqwh9w+Pc/8wJMlOSeGR7Vdg/nyjy3Ov9Dh7+6UmqCtP50w3lYf98oshzT5sH+Otfn2Xd4lz2rCgK\n++fl9Nw2q3qlJaFg34Vu/uP1y+ypL2L9krywf16W546MuxW4uujhueMmnj1m4r7NSyjPTwvrZxNJ\nnvvt/c3svdDDX921nDS9LqyfTZT0XFEU+dqLZzlttvP3H6gNe6NUkpPKkvy0uD9FmPB4+fzPTmOx\nOfna+2rC/vlESc91jLt58JmTuNxe/nLXsrB/PlHkub3DY9z/9AmyU5N4ZHtl2D8fL+m58+Fa3wif\nfe4U1YYMPrH+BjiUT557xhzf8txTJhv/5zfn2LAkj931xrB/Ph7kuaFg74VuvrXvCh9YuYhbbvAw\nqtFixxHnHOonx9r46XETD2ypoDQ3fA61uSqfY9f6VVtICXXjPCqKohdwC4KQBfQCZcpdlnIYm/Dw\n0E9O0j8yzo/vXRf2CQIkRnrugMPF/U+/h0YQePq+DSH1YJyORJDnWmxOHnr2JEXZKTzx6XVhSc5k\nyOm5R+LYu3aufZA//0Ujq0qy+c4n1oTUi3I6ZHnue9fjdz4cau7j6y9f4M4aA//wR3U39BmJkJ77\nwkkL3z/Ywt0bynh4W/jEGBIjPfe/32zhxdMdfHnXMj68puSGPmNzdQHvtsavPFcURf7vS+d5+2o/\n//bRlX47QjhIBHmuxyvypefPcKVnmO//6VpqisJTYUBiyHNHXR4eevYkNoeLH9+7nkXZ4XOoeEnP\nnQs2h4sHnjmBTiPw9H3ryU69AQ7lk+fGs+/dZHXw0E9OUZydwuN/dusNcah4kOfOh7Ptdv78F2dY\nXZrDox9ffUMcaktVAe44tzgdvNzLP758gYZaI3/3gdob+ozN1QX0j7i42jsS4auLDELdOJ8UBCEH\neBI4BZwGjil2VQrB6xX5ygtNNLXb+a9PrGVVmKZ1GXJ67tGW+JSWjLs9PPLTU3QOjvHkp28N+1RN\nhizPjdeQj8HRCe5/5gRur8hT960PuS/pdMS7PLfTPsqDz54gL13Pk/euI1Uf/sIH8S/Pvdw9xOd/\ndpplxky+d/fakPqzBoN8mhKvhZSj1/r52xfPsXVpAf/84RVhn7LKkMnQsTiV577U2MG39zfz0VtK\n+OKd1Tf8OZur8hmOY3nuE4dbef49C5+7o4qPr7vxevmW6viW5/7LHy7yxuVe/vFD9dyx3HDDnyPL\nc+PR4uT1inz5hUbOdgzy3U+uYWXpjQkP4yU9dzaMTXh4+Ccn6R4c48l711GWd2McKisliVVxLM8d\ndEocyitKHCr3BjlUVWE6xqzkuF0zO+yjPPjsSQoyknny0+vCtrLIuHVxLnqtJm7nw8XOIb7w89PU\nLsriu59cc8McarPKOVRIG2dRFD8niqJdFMUfAruAe32S7bjCt/Zd4ZVzXfzN+2puSJIbiM1V+XQP\nxV96riiKfO0353ivzca3/mQ1ty4OX5IbiM1VBZyNw/TcCY+Xz/3sFCargx/ecytVhRk3/FnxLM8d\nGXfzwDMncLo8PHXfegyZ4YXdBCIlScu6xfEpz+0dHuPBZ06SnqzlqfvWkZEcnjQ5EHJ6bjwWUlp6\nR/jsT09RUZDOY5+6JeRWXMEQz/Lck202vvqrs2yoyOMbH115w8UDCOhAEIfz4fXzXfz765f5wMpF\n/NVdy2/qs+I5PffZo208c7SNB2+v4M82Lr6pz4pnee5/7L3Ma+e7+bv313JX/c1zqHiU54qiyP/5\nzVlOmgZ49OOrb0iSG4h4lee63F4++9wpLDYnj99zK5U3yaE2VxXEpc95eGyCB585wZjLw9P3rQ+r\nBdV0pOq1rC3PictnZM/QGA8+K1lgf3zvetJvgkOV5qZRnpem2jUznFTtEkEQNgPlQI4gCNuUu6zI\n44WTFn7w1jXu3lDOQ1tvTHoYiHhNz/3eGy389kwHX9m1jA+tLr7pz4vH9FxRFPmH353nSIuVb3x0\nlZ/Q3QziMT3X7fHyxZ+f5mrvCI996pawei/Ohs1V8SfPjYT0cDriMT3XOjLOA8+cQK/T8NR968lK\nCV96GIh4leearA4e/ukpSnJTefyeG5MeBqIgTuW5TRY7f/HLRtaU3bj0MBC1RfGZnvvm5R7+6feS\n9PBv339j0sNAxGt67vPvmXn8UCv3bCznwdsrbvrz4lWe+50DV3mpsZOv7l7OH62KBIeKP3muKIr8\n3W/PcazVyr9/dBW3Vd48h9pUlY/V4aK5R53y3GBwe7x84ednuNo7wg/uuYWlxkhwqAIudA5hd8YP\nh3K63Dz47AkGRyf48X3rKAqz20AwbK7K53irFY8KD6NCTdX+D+AI8PfAV31ff6XgdUUUjRZ7gPSw\n/qZOD2TEozx334VuvnOgmY/dUsoXbkJ6GIh4lOc+d9zEL05Y+MKOav741tKIfGY8puc+ur+Zg1f6\n+KcP1bN9WWFEPjMe03P/5sWznO0Y5Ht3r2VFSWQyD+MtPVcURT73s9P0DI3x5KdvXHo4HfGWnuty\neyMiPZyOTVX5cZWeO+BwRUR6GIh4TM9t63fwxZ+foa44i+/dfePSw0DEY3ruafMA//C782xfVsg/\nfjAyHCoe0nOn4/Xz3Xzvjav88a2lfO6O8INlg0GW58YTl3z2aBu/OtXOl+6s5mMR4lCb41CR8p97\nr3CouY//95EVbF0aGQ61uTofUYTjrfFTSPnab85xsXOI7//p2rBbFc6GTVX5DI+5udCpPg4V6onz\nR4Dloii+XxTFD/q+4qYd1f6L3Yhw09LDQMjy3KPX+uNGnvv6+W4KMpJvWnoYCDk990gcPfRfPddN\n3aIsvnwDqaizQU7PjaeQj9fOdbFjeSH33KT0MBCyPDdefO9er8hr57u5e0M5u+rCTwOdDfGWnmtz\nuHj3uo0v3ll9Q63pZkO8yXObe4Zp7XPw9x+oo6IgPWKfu7mqgHG3l9Om+JDnnkQTRQYAACAASURB\nVDQN0D8yzjc/toqCjBuXHk6HLM81xUkHgsNX+3C4PPz33beEnSw/F2R5brx0INh/sQdBgO//6Vp0\nEeRQcnpu/HCoLgyZyfzb/4och5LlufGyZgK8er6b+uKsG0qWnw2yPPdIHB3CvHq+i4ZaA3ffQFea\n2bC6NIfUpPixOHm9Iq9f6OZTty3mzpoIcii/z1l98yHUJ2ArcHO6vRjCZHVSmpt609LD6di2tJAB\n5wRN7fFBhkw2J9WGdPS6yCx8MrYuK+BS1xBdg/HR19psc1JTlHnT0sPp2Lq0kKPXrHER+uL2eGkf\nGKV2UfjJsHMhSathU1UBBy/3xcWpUu/wOONub8THIT8jmfriLA5e7o3o5yoFk89nGOlxqFuURUGG\nnoNX+iL6uUrB7B+Hm5fcBWJjZR5JWoG3rsTJfLBK2R2Rng/yqczBuBkHJ6lJWpbcYIDmbNi6VJLn\nvnM1Psix2eqkLDeNzAhzqK1LC+kfcXFehadKwSBxqIyIc6htywo53zFE71B8KHPMVic1RVkRKx7I\n2Lq0gKPX+uOCQ014vHTaxyL+jNTrNGyqyufgld644FDdQ2O4FOBQhswUaooyVblWhHr3O4FGQRAe\nFwThe/KXkhcWSZhtTsojJD0MxB3LC9FqBA5c6on4ZysBk9XJ4rzInaLI2FUrVZneuKS+CT4d424P\nnYOjN5wkPhca6oyMTnjiolLYNTiG2yuyWIFx2FVnoMM+yuVu9fu95Q3CYgWeDw21Rk6ZB7COjEf8\nsyMNs+8EMNLzQaMRuLPGwFtXenG51e/3NvnHIbLPycyUJDZW5rM/TtYKs81JZoqOnBtoUzgXlhSk\nU23IiKs1szwvLeIbhPVL8shK0cXPONgciqyZO2oMaAQ4cDE+xsFsdSqyZjbIHCoOCq1jEx66h8aU\nGYc6I06XJy46MXQMjOLxiorsLRpqjVhso3Hh9zYpxB0AdtUZOdlmU11mTqgb55eBfwGOIrWjkr/i\nAiaFHnY5aXrWL8nlwEX1P+wc4276R8YVWfyqDRkszk+LCxJgsY0iisrc5Bsr80jXa9kfB/Ohzbdh\nLFegkHJnjREhTsiQfNKq1ENfFOHNOCBDJqsTQZDkcpFGQ62R4TF3XITfmKwO8tP1N5WqPhsaao20\n9jlo7VM/GWrzrZmR3jCCNA7vttoYioNODGaFNoxJWg07agy8eblXleE3gRBFEVO/U5HiYl66nnWL\n89gfB0X34bEJrA6XImvmMmMGZXmpcbFmmhVcMzdV5pOm1/JGHHDJSe4Q+fmws1ZqdxcPnNrk55LK\ncAevqD6FUqjtqJ4Fnmdyw/xz3/dUD7vTxeDohCInrSD9Ya/0DGNReUsFJatCgiDQUGvk6DWr6lsq\nmG3KbRiTdVq2Ly/kzcs9qvdsKTkfCjOTWVOWw4G42DA60GoEinNuPkl7OuqLsyjKSokLJYbJ6qAo\nKyUiIVDTcfvSApJ1mjghAU5FNkowSYbiYT6YrQ7F1sxddQbcXpFDKpfve72iT6WlzHxoqDVic7ho\ntAwo8vmRwoBzguFxN+UKbBAAGuoMXOoaosOubqtXNDjUOy39jLrULVOWx0GJjVJKkpZtSws5cFH9\nMmW/Wk2B+WDMSmF1aXZ8rJk2J0laZTjUypJsDJnJqlszQ03VvgO4CjwG/ABojpd2VP6bXCEyJEts\n1D7B5Q2jUmRoZ60Bl9vL2yr3bCm5+AHsrDHSMzSues+W2eZEr9NQlHXzbQOCoaHWSJPFrnrPlsnq\npCQnNWKhgYEQBIGdtQYOX+1TvWfLpJCdBSBNr2NLdQEHLvWongyZbcptlEpz06gpylS9XFvOP1Bq\nzVxTlkteul71a6acf6DUWrF9eSE6jaB6hZKSdhaAnX6rl7rng3zSqtRzsqHWyLjbyzsqDxid3DAq\nxyW7h8a40DmkyOdHCiark5QkDYab6Ns8F3bWGmm02OkdVjeHMludlOamRaTjwHRoNBKHOtTcp6qO\nFKGyxUeBu0RR3C6K4jZgN/Ad5S4rclBSignx49lSuoAQL54tk9VJul5LfoTazExHvHi2TFYHZbmp\nEQ9IkxEvni2zTRkbh4x48WwpZWeREQ+ercn8A2UIIajXsxUIf/6BQhsErc/3fvByLxMq7nPulyAq\nNB+yUpK4rTJP9WumktJcgKrCDCoL0tmv+jVT2XHYUJFHZopO9dzBbHOSmawjN8L5BzLurDEgCMTF\nfFAi/0BGQ61k9VJ7wKjJ5lCsmATSOIyMu3lXRe25Qt04J4mieEX+hyiKzcRJyrZZQf29jHjwbJls\nTnLSkshOVebPFi+eLbPNSXl+umIPu3jxbEkbJeU2CPHi2ZIXP6Uge7bUPA5y/oGS8yEePFvtA778\nA4XXCjV6tgKhdJEVpHEYGnNzsk29MmV/0V3h+dDSO0Jbv0Ox33GzkOdDpHq7B0NDnZHjrVaGVcyh\nzDYHeen6iCeLy0jSarhjuYE3Lveq2uol21mU4lD5GcncWp7LG5fVu1aAL/9AIQUnSJ0dSnJSVa1I\nEUVR8aL7luoCUpLUZfUKdeN8UhCEHwmCcIfv60fASSUvLFIwWZ0UZiZHtAfjdMSDZ8usoFdLRjx4\ntkxWh/LjoHLPliiKiiXNy4gHz9agc0LKP1DwoS97tt64pF7PltISRIgPz5ZSyeKBUKtnKxAmm7JS\nTJDazuhV7ns3W51oNQIluZH37smIB6uXyepULP9ARkOtkQmPqGqrl9JFVoCGWgP9I+OqbnGqtEoL\npELK+Q71tjiVOZSS4yBxKAPvtKjX6mV3TjA85lb0vkhJ0rJVZRwq1I3z/wYuAl/yfV3wfU/1MCno\nWZMRD54tqZ2EckQI1O/Z8npFLAOjyj/0Ve7Z6h9x4XR5ojIOavZsmRQMiguE2j1bSksQZTSo3LM1\nKc1Vbhwkz5ZRdZ6tQJitTvRa5fIPANKTdWyuyle1791kc1Kck6JI/oGMsrw0lhszVc0dlEoWD8Qt\n5TnkpiWpWpmj9MkawB3LDKpucerxirQPOBVfMxv8CiV1csne4XHGJpTLP5Cxs9bI2ISXI6rlUMol\niwdiV62RDvsol7rU0eI01FTtcVEUvy2K4keBzwBviKKo/uakSCRA6Ye+2j1bcqN2pQsIavdsyY3a\nlZ4PlSr3bPmD4hQeB7V7tqK1YVS7Z0vp4EAZO1Xu2TLZnKTptRRmKBP2IqOh1qA6z1YgTFYnpXmp\nioS9BKKh1ojJ6uSaSttzKZksHoiGOgMn2gawO9Xpe1cyWVyGTqthx3IDb17pxa1CDuVye+kaHFV8\nHLLTktiwJE+1LU477aNMeETF18yqwgyW5Kep9vBByWTxQNxWmUdGsnqzg5RMFg/EDh+HUss4hJqq\n/ZYgCFmCIOQhtaN6UhAE1YeD+Ru1R2Px83m21Nir1N+oXeHJDer2bPk3SlEhQ+r1bE0+9JUdB7V7\ntqIhUYZJz5ZaHvrTYbI6yU5NIluhsBcZavdsmRUOe5GhRs9WIKKh0oJJ37ta54PJpnzRHaQ10+MV\neUuFVq9Rl4fe4XHFiTFIa6bdOcEpk/qsXu0DTryickFxgWioU2+LU3MUfP8Q0OK0RZ0tTpVOFpeR\nrNOyfVkhBy6plENFqYDgb3GqkjUzVA1StiiKQ8BHgZ+IongbsFOJCxIEYY8gCFcEQWgRBOFrN/NZ\n8oNnSYHyD/2tSwvQazWq9K7Jcool0Xjoq9izFa2TVlC3Z8tkdSIIUJannHdPhpo9Wyarg8LMZNKT\nlcs/kLGz1siFTnV6tsw2J0uicE+o3bNlioJ3D9Tp2ZIhiqJ00hqFtWJRdiorSrJUuVYMjk5gd05E\n5b5YXZpDQUayKsfBHCUpJsC2ZYUSh1KhImWSQ0WDO6g3SNF/+FCg/HzYWWvE5fHy9lX1FZTMNl/+\ngQK9i6djZ62BvuFxznWor8WpyaZ8/oGMhlojZ9sH6VFBi9NQN846QRAWAR8H/qDUxQiCoEXqFf0+\noA64WxCEuhv9vGjJKcDn2apWp2fLHCU5BUierZoidXq2TFYnOo3AomzlvHsy1OzZMtucFGenkqxT\n/mGnZs9WNCSIMnbVqdezJaWkKk+EQDpNUaNny+uVw16iMw5q82zJsDpcOKKQfyCjodbIafMA/SPq\ncn6Zo6TKAZ/vvcbAoSt9uNzqkilHS4oJkJGsY2NVvjrXzCgkzctYnJ/OUpW2ODXZHIrnH8hYtySX\n7NQkVSpSTFYp/0CvUy7/QMaO5b4WpyqcD9GwwsrYVSdnB8V+PoT6V/9nYC/QIoriCUEQKoGrClzP\nBt/vaBVF0QX8AvjwjX5YtIzrMmTPVkuvujxbSjdqn46dtZJna9CpLpmyyeqkNDcVnYJhLzLU7Nlq\nsyrbdy8QavZsmaMkxYRJz5baSOGEx0uHXXnvnozbKvJV6dny5x9EaRzU5tmSEc2NEqi3V6kpiuok\nkApKw+Nu3ruuLqtXNO1NIJ22tvY7VOd7b7M6opJ/IKOhTp0tTk390ck/AF+L0+WFHLyivhankp0l\nOvdEbrqedUvyVJmR0haFLjUylhp8LU5VsGaGGg72K1EUV4mi+Dnfv1tFUfyYAtdTAlgC/t3u+54f\ngiA8LAjCSUEQTvb1zS3hMFsdijZqn46dKk0CNNmi492T4fdsNattHJRPFg+E7Nk6bVaXTNkchXTQ\nQKjRsxXN/AOY9Gwdu6Yuz1anPXr5BwB6nYbtyySZspo8W9EKipMhe7bUFn4TrfwDGfXFWSzKTlEF\nGQpENNVqALdXF5CswvZcJpsjKvkHMnaqtCNFtPIPZDTUGlXZ4jRa+QcyGuqkFqdnzOryvZutyifN\nB2JXrZHL3cO0D6iHQ0Uz/wAmOdSRln6crthyqFDDwVIEQfi8IAg/EAThKflL6YsLBlEUnxBFcZ0o\niusKCwvnfK8c7hGth51aPVvSQz96G0bZs6WmCpncqD0aHiUZsmdLTfNhZNyN1eGK6kNfjZ6t9gEn\nohi9jRKo07M1eaIUTTJkoFdlnq1oJYsHoqHWSJNKPFsyopl/ABIZ2llr4HBzv6p872ark4KM6OQf\nAKTqtdxeXaA6q1c0WjAFoiQnlbpFWapTKMmHD9HCmrIc8lXW4jSa+Qcyti3ztThV0TgMjU0w4JyI\n6popH8qpQaYswx+uGsX5sEtucRrj7KBQNas/BYqA3cAhoBRQwpzVAZQF/LvU970bQrRP1kB9nq1o\nNGqfDo1GCgFSk2crGo3ap0ONni2/FDOKGwQ1erZMUfSsyVCjZyvadhaQPFtq873L+QfFOcp792So\nybMlw2xzsigrJSr5BzIaao2MTng4ds0atd85H0w2R/S5Q52R9oFRrvSox/dujvKGEaRxOGmyYXOo\noz3XZP5B9MZBjS1O5fyDaM6HrJQkNlaqi0OZo6xOAl+L08J0la2ZMpeM3jisl1ucxngcQt04V4ui\n+A+AQxTFZ4EPALcpcD0ngKWCIFQIgqAHPgm8fCMf5PGKWKLQqH06ZM/WmyrxbPUNjzM6Eb2wFxk7\na9Xl2YrFBgHU59mKxUMf1OfZisVJqxo9W2arg2Rd9PIPAHLS9Ny6OFdVihSTzUlJlPIPZKjJsyXD\nFGUJIsCmqnzS9VpVjYM5isGBMnbW+JQ5Krkv3B4vHQOjMTh8MOBVke+9Z9iXfxBt7lCnrhan0baz\nyGioNXCtz8F1lbQ4jbadRcauWnW1OJ1M3I8uh7pjuYE3Y9ziNFSWIP+l7IIgrACyAUOkL0YURTfw\nBaQgskvAC6IoXriRz4pWo/bpkD1bavHotEXZqyVDbZ6taIfeyFCbZ8tki/5JK0iLn5o8Wyarg4xk\nHXnp+qj+3p216vJstfm8e5oohL0EQm2eLdnDGE2oybMlwxzF0BsZyTqpPZdaZMpjEx66hsai/ow0\nZKWwujRbNRkpnfYx3F4x6vNhRXE2xqxk3riskjUzBkVW8LU41amnxWk023kGQm0cqs3HJaP9fNjp\na3F6uFkdHSlMVidZKTpy0qLLoaQWpy4aY9jiNNSN8xOCIOQC/4B0AnwR+KYSFySK4quiKC4TRbFK\nFMV/vdHPiVaj9ulQm2crWo3apyNVr2XrUvV4tqLVqH061ObZMlmd5KYlkZUSnbAXGWvKclXl2Yp2\nYJ6M7cvV5dmKhZ0FpNMUUI9M2WSNvjQX1OPZAin/oH8kuvkHMhrqjPQMjXO+Yyjqv3s6YpF/IKOh\n1kijxU7vcOx973KyeLTng0YjsLPWyKErfYy7Y8+hYqXSStPr2FKlnhancv5BaW50x0FucaoWhZKU\nf6AnI0r5BzL8LU5Vwh1MUWzfGIg7lhnQaYSYKnNCTdX+kSiKA6IoHhJFsVIURYMoij9U+uJuBrHw\nMMpQk2fLbHOiEYhKo/bpaKhVj2fLZHNizEqOSqP26VCTZ8sc5WRxGWrzbMVqw6gmz5acfxBtyRlA\nRUE6VSrxbNmdLobG3FE/WQP1eLYgdhsEgB3LC1XTqzRWUkyYLCi9qYKCUqykuSAVlBwuD8dbYy9T\nNtkcaDUCxbHgUHXqaXFqtjopykqJDYeqNXLSNIDdGXsOZbJFr51nIHRaDTtqJJmyGlqcRjtZXEZ2\nWhIbKvJiulaEmqptFAThx4IgvOb7d50gCA8qe2nz43L38KynuiabgyStwKLs6D/sZM9WNE6VXjnb\nxZeePzNrRVJq1J4alUbt03FnFD1bzx5t459/f3HW1yXPWvSJEETXs/Xovis8drBl1tdNMfDuyYiW\nZ0sURf7mxXO8cMIS9HV//kEMHvoQPc/WhMfL5352alaJW6zyD2Q0RMmzNTQ2wb1PvTerPD6WRdZo\nerY67aN86kfH/Sqk6YhFsriM/Ixkbl2cGxUydKlriHt+9C4DsxQyY7lhrCnKpCQnOr73o9f6eeCZ\nE7Oe6pptTvQ6DcbM6AXmydhUlU9qkjYq3OH3TZ38xS/m5lAlOakkRTH/QMbOGqmQEg0u+fSR6/y/\nP8zOoaKdLB6Ihjpfi9MoWL3+c+9lfnjo2qyvS0X32HDJXbVGBkcnOGlS1uoliiJf+81ZfnUyOIdy\ne7y0D4zGjEvurDXS3DPiL/ZGG6E+CZ5B8h0X+/7dDPyFEhcUDiY8s0vczFYnZXlpUWnUPh2yZ+sN\nhSU2Tpebr798gZebOrnUFfxU12RzsiRGN7khK4XVZTmKe7Z6h8b4xmuXeProdfqGg6eZSz2cY3OT\nR8uzdalriO8fbOGHb10LmmbucnvptI9GtSVXIKLl2TrU3Mfz75n5/w5dC3r/dQ1K+Qexui+i5dn6\n9al2Xj3XzVNHrgd93RSDcI9ANNRFx7P1o7evc6i5j+eOm4O+Lo9DrOZDtDxb39nfzJEWK78+1R70\n9VgWEEC6Ly50DtFpH1X09/zrK5d4p6Wf1853B33dbHOSkawjP8r5ByD73g2809LPqEs5mbLHK/L1\nly7w5uVejs6ijDNZHSyOQf4BQEqSZPVSmkM5xt380+8v8LvGzlmVcdFO1A5EUXYKK0uyFV8zuwfH\n+PfXLvPUkeuzKuOkdp6xeUauKsmmMDNZ8QLChc5BHjt4jR8cbAmqjBt3S/kHsZoPW30tTpXmDm9d\n6eMXJyw8frg16Otdg1L+QSzXTIidQinUjXOBKIovAF7wh3jF3HyiEQRevxB88YvlyRpEx7P1zNE2\n+kfGEQRmHYdYySlk7Ko1KO7Z+u83Wxh3exHF4DfSqMtDz9B4zOZDtDxbj+67AsDwuJuj12ZuRtoH\nnHjF6PbdC0Q0PFter8h/7r2CIMD1fgdXg0jczDEKe5ERDc/W2ISH7x64iiDA8VZb0NO1yZO12MyH\nW8pzFfdsWUfG+fHbrQg+GXAwMmTynfzH6jQlGp6tlt5hfnO6XVorZtkwtvnyD7JTo5t/IKMhCgWl\noy39vNPSP+eaabI6YpJ/IKOhzsjYhJcjLcoVlH53poOrvSMIAuydZT5Eu4fzdDTUGekcHONil3Ic\n6ukj1+kfcc19X/THJv9ARjRanH7vzau4PF68YnCFoJR/MB4zLqnRCOysUb7F6aP7mhEEGBpzc7x1\nZkHJYhuNWf4BTLY43X9RWQ71TR+HaukdoaV3ZkEpVgFpMhbnp7PMGLsWp6FunB2CIOQDIoAgCBuB\nQcWuKkRkpUresOl6/8nexbEhhDDp2VKqQjbonOCHb11jZ42BDUvygi5+sWjUPh1Ke7bMVifPv2fm\n7g3lLM5PC7r4mWOUJB0IpT1bp0wDHLjUyxd3VJORrGNvEFIY6xNGUN6z9dr5bi50DvF/9tTMSoZi\nlSweCNmzNZtc9Gbx3HET3UNj/O37avF4xaALjNnqiFn+Aci+d6Oinq0fvHWN0QkPf727hsHRCd4N\ncv+ZbE4Mmcmk6qPv3YPoeLa+vb+Z1CQtX7xzKVd7R4Lef7HKP5BRVZhORUG6YgolUZQI4aLsFO7d\ntISjLf0Mjs60CZhieMIIcFtFPhnJyvneXW4v3znQzMqSbP5oVTH7LvbMaI8Xy/wDGXfWGKSCl0LB\nmnani8cPt9JQa2T94ryga0Us8w9kNNQZFG1x2tbv4IUTFu65bTGlualBC0qxzD+Q0VBrZETBFqcn\n22y8ebmXL925lDS9dhYuKRdZYzcfdtUaaLM6udanjNXrlXNdXOoa4mt7agDYe2HmcyiWdhYZDbVG\n3r1uY9AZ/fZcoW6cv4yUpl0lCMIR4CfAFxW7qhCRnZKE3Tkx40ayOVyMjLtjdoIAAZ4thU4Rnnj7\nGkNjbr5y13L2rCjiSs8wrdN6BavhYbfcqKxn67/eaEarEfjSnUvZU1/E0WszyVCsksUDoaRnSxRF\n/nPvZQoy9DyyvYodNQb2XZhJhmJ90grKerbcHi+P7r/CMmMGD22t5Nby3OAbZ6szZvkHMvyerebI\nk6HhsQkeO9jC1qUFfGZrBSU5qbMWUmKVfyCjodagmGer0z7KT4+b+Ngtpdy/ZQmpSVpev9A1432x\nCooLhJKerXPtg7x6rpsHt1Zy94YygODzIcYqLVmmfOyalZHxyLfnOnCpl0aLnT/fuZQPrynG7RV5\nc5p9xuMVabeNxrSoptdp2L68kAOXlPG9//KEmfaBUf5q93Let6IIm8M1I3eib2Qcpyt2+QcABRnJ\nrC3LUYw7PH64lZFxN3+1exm7VxRxuXuYtmm5E7G2LwDULcqiODtFMS75Xwea0WkFvnhnNXvqi3jn\nav+M3IlY5h/I2FJdQEqSMi1ORVHkm69foTAzmc9ur2LHcgN7g3AoNWwYZauXEuPg9nj59v5maooy\neWhrJWvLc2Y9jIpV/oGMnbXKcaj5MCdjEgRhvSAIRaIonga2A38LjAP7gOBGqSgiIyWJlCTNjAqZ\nGk7WQPrDXuyKvGerb3icp95p40Ori6krzuKu+iJgZmUolumgMgRBYFedURHPVnPPML8908F9m5dQ\nlJ3CXfVFTHjEGSFcsWpNFgglPVvvtPRzvNXGF3ZUk56sY3e9EavDxclpZMhkdZKapKUwMzmivz8c\nKOnZevFMB619Dr5y13K0GoHd9UVc7BqasRkx2xyU5cYm/0CG7NlS4nTtqXfaGHBO8NXdyxEEgbvq\njRy+2j9jMxJrKSYo69n63htXQYQ/b1hKSpKWO5YXsu9Cz4zNiJSSGrtnJCjr2frPfVfISUvioa0V\nLMpOZXVZzoyNs5x/EOv5sLPWiMvj5e3myIYAeb0i39p7hYqCdP741lJWl+ZgzEqeQQq7h8Zwebwx\n3SCA7Hsf52xHZIV9Tpeb773Zwm0VeWxbWsD2ZYXodZoZ42BWwYYRpALjuY5Bugcja/XqHRrj6SPX\n+fDqYmqKsrjLp4ybfl+ogUtKLU6NvH018i1OL3cP8VJTJ/dvqcCQlcLuFUW4PF4OTgvhUkMBIVWv\n5fbqAkVkyoev9vNem40v3VlNql7LXfVG+kfGZwRKmqxO0vXamOQfyCj2tThVYs389al2rvc7+Ku7\nlqPxcahzHYO0D0zlULKdJRb5BzLWlOVQkKGPSUvL+Y4aHgdkLeFm4O+Ax4AB4AkFryskaATYvqyQ\nvRe6p5AhNZy0gnKerccOtuDyePnLXcsASWq5qjQ7SAEhtj4EGQ21yni2Ht13hXS9js9urwJgbVkO\nhszkmYuf1Ulmio6ctNh492Qo4dmSTpuvUJKTyt23lQNwx3IDep1mRiHFbIutd0+GEp6tcbfk6V1d\nmu0nQbv9BaWZ8yHW94RSni2bw8WTb7eyp76IVaU5AOypL8Ll9vLWlZkFpVhvGDOSdWxSwLPV2jfC\nr06186e3lfv7ju5ZUUTv8DhnLJMhXGMTvvyDGM8HpTxbx1utHG7u43N3VJHp692+p76Is+2DdAQU\ndDvso1L+QQyLiwDrFueSnZoU8YLSy01S+NOXdy1Dp9X4SeGh5j6crsmC0qQ6KbbjsGO5Aa0Cvvdn\nj5roGx73F9XSk3VsWypxqMD7z6QCdRJIFicg4sGa3z/Ygtsj8hcNEocqy0tjRUnWjLXCbI1t/oGM\nhjplWpx+a28zGck6HtlWCUi5EwUZQTiUzUlODPMPZDTUGumwR7bFqZSLcpnS3FQ+sV7iUHfWGNBr\ngxSUbE7K89Njz6HqjJwyDWCNIIcam/Dw3TeusrY8h52+Qu7uOQ7lYv1s8Lc4vRL9FqfzbZy1oijK\nx1afAJ4QRfE3oij+A1Ct7KWFhj0riugZGp+SSBqrRu3TIXu29keQBLQPOPnZuyY+vq6UioJJ0ru7\nvogmi52uwUkyFKtG7dOxoSKPzAh7thotdvZe6OGhrZXk+qp/Mhl660rflNNt2bMW64edEp6tvRe6\nOds+yJ83LCVZJ3k0M5J1bFtaEJQMxXrDCMp4tn7+rpkO+yhf3V3j/zuX56dRtyhrSkFJFEVfazIV\njIPPs/Xu9ciRoR8euobD5eYrdy3zf2/dkjzy0/VTSMDw2AQ2hyvmGwSQSECkPVvf3t+MXqvh8zsm\nl6kdNQaStMIUUmhWwYmSjEh7tuSimjErmU9vWuL//u56aTOyL2Ac1GBnl37nXgAAIABJREFUAalX\n6Z01Bt68PFMmeaOY8MkPaxdl8YGVi/zf31NfxNiEl8MBp9v+k9YYPx9y0vSsi3B7rsHRCX546Bp3\n1hhYtyTP//09K4roGhzjbPvk6bbJ5kSjAg5VbchgcX5aRAsIFpuUi/Lx9WUsCeBQe+qLOG220zM0\nebptsjopzEwmTR9bDrWxMi/iLU6lXJQeHtlWSU6axKG0GkmhdPBy75TTbbWsmXfKypwIzofXL3Rz\nvmOIv2xY5rctZaYksaU6n9dncCiHKsZhV61RanEawfZczx030TU45i+qAVQUpFNTlDklQ8mff6CS\nNXN4zM0JhXzvs2HejbMgCPITYyfwZsBrsX2S+HBnjRGdRpjyhzXZHDFr1B4IQZBOlY5H0LMlJeUK\nfGnn0inf37NCqgztC6gMmayx67sXCL1Ow7YIe7a+tfcKeel6HtxaMeX7e1YUMTrh4fDVQDLkiLn0\nDiLv2fJ4Rb61r5mqwnQ+urZkymu764vosI/6U929Xl9gngrmQ6Q9W45xN48dbGFTZT5bqvOnvLZn\nRRGnzQP0+sjQgHOC4XF3TEOQZGypLiBZp4nYOHQPjvHs0Tb+19oSlhoz/d8PRobUcqIEsLMmsjLl\nC52D/OFsFw/cvmSKLSErJYkt1QW8fn6SDJlUslGCyHu2Dl7p5ZRpgC/euXTKWlhZmMFyY+aUQoqa\nCgg7aw0MOCc4PUvf7XDxwkkLZpuTr+5eNkVauKEij5y0pCmnKSablH9QHKPAvEA01Bq53D2MxRYZ\n3/uTh1sZHJ2YUlSTfo90uj2loGR1sCg7tvkHIHMoI0euWacoA24G3znQjEaQclECMcmhArmkOtbM\nZJ2Wbcsi1+I0MBfl/i3TOFR9EU6XZ0qrV1OMgwNlGDKlFqeROoxye7w8uu8KSw0ZfGQah9qzooj2\ngVG/QtDrFbEMxN7OArCiJAtjVnLEuMPIuJsfvHWN26sL2FxVMOW13fVFnDDZ/K1e+0dcUv6BCu6L\n230tTqPR5zwQ8z0VnwcOCYLwEjAKvA0gCEI1KkjVBshOTWJzdcGUypBZJRtGkE5TIuXZkluKfHrj\n4hnBRlWFGSw1ZMwgQ7E+QZCxq9YYMc+W3FLkc3dUzThN31CRR3Zqkr+QIjdqV0N1DCLr2frdmQ5a\nekf4yl3L0Wmn3soNtUa0GsEfhtQ7PM6426uKh36kPVtyS5Gv7lk+Q1WwZ0URogj7fAuM/2RNBc+H\nVL3kez9wqTciZOh7b17FK4r8ZcOyGa/tri/C4fL425SpIWleRnFOKvXFkfNsPbqvmawUHQ9vq5rx\n2u76Isw2p7/vvVpOWiGyni1JfthMeV4an1hfNuP13SuKONFm89slTFYnKUkaDDHMP5CxbVkhSdrI\nyJTHJjx8742rrFucy47lhimv6bQadtUaOXCpx2+XMFudlMY4/0CG3JEiEvdF3/A4Tx25zgdXF1Nf\nnD3ltZw0PZsq86cWlGKcLB6IhjoDLreXt6/evNVLzkW515eLEohqQyaVhelTFEpmlai0QFrTI9Xi\n9EiLleOtNj7vy0UJxMbKfLJSdP5xmPB46bSPqWLNBClVusli9xfDbwYvnungWkAuSiAaao1oAtq1\ndQ+N4XJ7VTEfZA51+GpfRDjUU+9I/bu/unv5jNdkDiUXtv1BcSpYM9P0Om6vLlC0xWkwzLlxFkXx\nX4GvAM8At4uTV6ZBBanaMvbUF2GyOv2+BzU99GXPViQqInJLkf99x0xCCNIEf/e6FZvDxbjbQ+fg\nqGoKCHcsL4yIZyuwpcg9GxfPeD1Jq6HBR4YmPF5/o3b1PPQj49mSW4qsKMlij8+HEojcdD0bKydb\nbJj8ffdi/7CDyHm2AluK3FKeO+P1pYYMKgvS/acpajpZg0nP1uXum/NsyS1F7t5QTlmQub65qoDM\nZF3AfIhtD+fpaKiNjGdLbiny2TuqgvrxdtUZp/TwNducZCbryI1x/gFE1rP1B19LkS/vWkaSduYy\nv6e+aErPVlmdFGs7C0jKgI2V+RFRIPzkWBs9Q+NT5IeB2LOiiOExN8d8PVtNvhwINaCiIJ2qwsi0\n53rsYAvjbi9/2bA06Ou7VxTR2u/wtylTQ9K8jPVL8shK0UWkkDI9F2U69tQX+fvej0146B4aU4Va\nDSSrSSRanMqnzcXZKfypLxclEHrdJIdye7x0DIzi8Yqq2DBCQIvTm7R6ybkoq0qz/faVQORnJLOh\nIs+/VkyqtNQxH3bVGnG6PEH7TYeDAYeLJw+3srveyOqynBmv1xRlTmn1qoaguEA01Bqx2Ea5epMt\nTpvD8M3Pq8MRRfG4KIq/FUXREfC9Zl/StirgJ0Pnu3G63PQNj6uGEMqerYM32avUYnPy6rlu7t9S\nQX5G8FOB3QFkqH0gto3apyMnTc/6JTfv2TppGqDRYufzO6pnleLvWVHkb2Cvtg1CpDxbr53von1g\nlC/vWjZrsuGe+iKu9Tlo6R2eTAdVCSmMlGfrlycsDI+5Z8gPZQiCwO4VRRy7ZsXudPnnQ7DNZSwQ\nKc/WM0fb0GgEvrAjePSEXqdhZ62B/RclMmS2OchPj33+gYxddZHxbD1xuJX8dD33bV4S9PWCjGTW\nL8nzyzFl378aNowQOc/Wk4dbWWrI4IOri4O+Xrsok/K8tICCUuyTxQPRUGvkWp9jRovFcODxivz4\nnevcXl3AbZX5Qd+zpbqAdF/PVlEUVZE0H4iGOiPHW60Mjd247314bILn3zPz0bUlVBZmBH3P7gAO\nNTLuxupwqWY+JGk17Kgx8Obl3pvyvZusDvZe6OGBLUvImyUVec+KIjxekTcu9/ol8mqZD3npetYt\nzrvpteLd6zaa2gf54s7JXJTp2L2iyN/qVW3cYbkxk9Lcm29x+tq5bjrsEoea7fm/p76I5p4RrvWN\nBJy0qmMc/C1Ob3Icnj9hZnjczZd3zTxtBolDBbZ6ncyQir2dBfAHme2/yfvip8dMIb83tgaWCKEw\nM5l1i6WerWryrMmY9GzZ53/zLHi5qRMgqOxORn1xFiU5UgN7taSDBiISnq2XGjtISdLM8KMEYuvS\nAn8De5PKHnaR8my93NhJUVYKdywzzPqeXXWTiYhmqxOtRqBEJQ+7SHm2XmrsZE1ZDrWLsmZ9z+76\nItxekTcu9dJmVUf+gQzZs3Uzi5/b4+UPZztpqDVgyJq9r+Lu+iIGnBO812ajrV89EkSQnl1FWTfn\nex90TvDWlT4+vKZkzjCfPfVSz9br/Q6fnUU94xAJz9a1vhHOdQzyifVls0qOBUFgd72RIy1WBkcn\nVDcOMhm6Gdn6u61WeobGuXvDzFM1GSlJWu6oMbD/YjdWh4vhMbequENDrRG3V+TQTRSU9l7oYdzt\n9XddCAZDVgpry3JUyx121kotFhstN+57f7nRx6HmmA8rS7Ipzk6ZyiVVNQ4GLnYNTUnEDxcvNXaS\nmqTlw2uCF9UAti0t9Ld6NavIzgJyv3fJ6nUzLU5fauygJCeVbUsLZ33PXQGdOdqsTnQagUXZs6+x\n0cRki9Obs3q93NjJrYtzWV6UOet7Alu9mm1OirNTZy26RBvGrBRWlWbfFIea8Hh55VxXyO9PiI0z\nSKTwcvcwb/tCoZao5CaHSc/WGz758CnTAI8dbOHPfvwuK76+l5+9O3elQxRFXmrsYN3i3DlPygRB\nYM8KqYH9xU7JB6OWhx1MNm5/41IPYz6Z7rf3N/PxHx6j7v++Pq+Xa8Lj5ZWzXTTUGuc8KUtJ0vob\n2F/vc6DXaSiaY0MRbQR6thzjbg419/Hvr13mw48dYcXX93K2fe4Ci83h4lBzHx9aUzxnH72i7BR/\nA/s2q4OSnNSgss1YIdCzNeicYN+Fbv759xd533ffZu0/75u3wHK1Z5iLXUNzEgCQeiYvyk7xkQB1\nbRDA59lqH6R3aIz+kXH+cLaTv/vtOXY++habv/EGw/OcNh25ZqV/xMWHVs9eTALYvryQZJ2Gvee7\nMducqnpGSp4tg9+z1TU4youn2/nqr5q4/T/e5H3ffXve06bXznfh8njnnQ+7fSFAr57rwqKiHAiY\n6dlq63fwi/fM/PkvznDbvx3g3qfem/czXmrsRBDgj1bNPQ57fD1bf3nCzNiElyUqui9Kc9OoKcr0\nj0NzzzDPHm3jsz89xS3/sp+v/ebsvJ/xu8YOMpJ1/k34bNhTX0T/iIsXT7cD6uIOt5TnkpuWxBuX\npJTx8x2DPHm4lQeeOcGqf9zLfx1onvczXmrsoDwvjbVBZJiB2LOiiAudQ/5QKDU9J7cvK0SnEThw\nqXcKh7rnRxKH+sV75jl/XhRFftfYwYYleZTMEfwmK5QOX+3zh0KpaT74Zco+DnX0Wj/f3nfFz6EO\nXpm70ORye3n1XBd31RvnLC6m6rXcsczA3gvdXO9XT/6BjIZaI+NuqcWpY9zNW1d6+cZrl/jw999h\nxdf3cn6eLB3ryDiHr/bzwdVzc6jinFRWl2ZLa6bVSVle2ow8mViioc5I1+AYFzonOdQ//f4Ce/7r\nMLf8y/55CyyXu4e43D0875opt3qVuaSang0gzYdGi52+4XH6hsf5fZPEoe589C22/Pub84Yzv3O1\nH5vDNed7AqEOnV4EsLu+iP/3yiWeeqcNUFeVUPZsPXfcxHPHTTh8VbKaokxy0pJ4/FArd68vn/UG\nvtQ1THPPCP/ykRXz/q49K4r48TvXee64OeaN2qejoiCdakMG3zlwlX977TIutxeNACtKsknT63j8\nUKt/cx0Mb1/tY8A5wUfWzL1BALir3sgr57r4w9kuynJTY9qofTpkz9bfvHiOodEJ3F4RnUZgjY/Y\n/Pid63z3k2tn/flXz3Xh9orzPuxAIoXfeO0yfcPjLDUGl+nFCrJn6/5n3sPqcCGKkKzTcEt5Ls09\nwzz3rom/eV/trD//u8YONCFsEOQ2Zc+/ZyZVr/X3eVYLGuqMfGtfMx/473f8yZUZyTpWlmRzrNXK\ni6elMJvZ8FJjB5kpOnbUzF45B2lTtn1ZIa+d76ZvZFxVJ2sgjcPP3jWz7ZsH6fWNQ05aEksNGZxo\nG+CNSz3+E4BgeKmxk4qCdFaVZs/6HpD63q8syeanx0yqyj+Q0VBr5M3LvWz8xhv0DEnjUJCRTElu\nKoea+zjfMciKkuD/jaIo8nJjB5sq82eEH03H2rJcCjOTA9ZM9WwQQJLvP3awhfX/eoD+EYnUlOSk\nYsxK4Ven2vmLhmWz/jeOTXh47Vw3u+uL5lWX7PD1bJXHQU2kUPK9G/nD2U7evLyPoTGJAFYWpPv+\ndtd5ZFsVqfrg/429w2Mcaenn8zuq57Uj7K4v4t9evczTR9oAdRXds1OTuK0yj58eM/Hs0Tac0zjU\nDw9d4+PrymZd5y90DnGtz8EDt1cEfT0Qu+uLePpIGz9/16ya/AMZVYVSZse39jXzL69cmsahtDx+\n6NqMELxAHGruY3A0NA61Z0URr1/o5tVzXZTnpamKQ8ktTv/6N2f9HCpJK3EoUZQsGt/5xJpZf/6V\nc114vCIfWTs/h9q9oohvvn6F7qExaopmV7bFAnKL0/uePoHVMe7nULculjjUz46b+Os9NbP+/EuN\nnWg1wpQ2fcEgc6hfnbKQrNPy/pWzr8OxQEOtkW/vb+b933s7KIf67ZkO/ixIJpKMlxo7wupRnjAb\nZ7mB/fmOIVU0ap+OP9u4mAGni7VluWyqyue2ijzyM5L5fVMnX3z+DIea+9hRE/yB91JTB7oQJjdM\nNrDvHhqjdlGWarx7Mh7YUsEvT1pYvziXjZX5rPelYD9x+Br/9uplLncPzfpw+t2ZTnLSkti2bO4N\nAkw2sO8eGuPOWcY1VkjSavjM1koONfdxW0UeGyvzWbcklzS9jn/6/QWeO27i7z9QN6WVTiBeauyg\n2pBB3RzyZBm7fRvn7qGxeU9eoo28dD2fum0xzT3D3LMxn/+fvfuOr7q6/zj++t7c7L33ICRh7zDC\nEFEQUFGGE0XrttU62qptrbVDrXbYn7va2qo4EZGhOADZshKSMJKQBMjee8/7/f1xc0NCbiY3yU3y\neT4eedjeXC5fwuHe8/mez3mfqFB3pga5YK214MH1MWw4lsnjiyOMTnz1XRg5zAvz6PTn1NbSCT68\n92NaS7K4+UwIQb9na+kEb2obddw1z42oUHcm+TujtdBw/esHWH84nTuigo3+W65taOa7U3lcO9mv\nR61Tyyb6tCaMm1OBABAVqh8D9tZaoka7MyfUjXE+TuhUlQV/3c36w+mdFs555XUcPl/MI1eE9+g9\nb9lEH/723RnAvG6ygv6c5Q3Rmfi72DJntP5nMtrTnsr6Jua8sIsPDqXx1xumGP218VnlpBXXdBog\n2ZZ+MuTNh4f1q3XmdgNh1TR/fkgqIMLbUT82RrsT6GZHRnENC/++m4+PZvCLJcazDfacKaCyvqlH\nNxcdrLX6lseWsCFzyT8wuHVWIEl5FUzyd2ZOqDtzWm6KHD1fwk1vH2JLXDa3dNJ+/FV8LjqVHv0c\ngt3tGefrRGJuhVnlHxismxNCRW0q04JciAp1Z1bLHGpLXDaPfhrH/tQiFnYyN9gSp59DXT2x+znU\nzJZz7/Mq6pjgZ4ZzqPmj+Dwmi5nB+rnkzFFuONnobx68+E0SyfmVRHgbb7vdHJeNm70V88M9jH6/\nLcO593kVdUz0N6+bzVZaDXfPH8WB1CJmj3IjarQ7M4L1c6hnt5zik6OZPH3NODw6yQPaEpfDGG/H\nHhXCyyboC+f8inqWTjCv9wYPB2tunRXEucIq1oUGEzXanSmBzlhrLbjvg2g+O5bJo4uN72XX6VS2\nxuWwINyj09yktpZN9GH94XTqGnVmk39gMM7XkavGe1PXpOPuefrPiol+TlhoFK57/SDrD6Vx++wg\no/+Waxqa+D4hn+un+tN9H5Oeeb0zXqJlE3w4lV1hdhMA0O8RMDbpWzrBB09Haz44lGa0cNbpVLbF\n5XBZhGengRZtGc5s/fhIhln+HNbODjKa5HhTZCD/+D6ZDw6l88KqSR2+X13fxI6EfFZN9+/R2ZKG\nA+x3nyk0u5U1gEeuDO9wFjfob7D872Aanx3L4OErOn4/q7SGY2ml/OqqzgMt2gppOcA+Ka/S7Aol\noNMuijuigvn2dB5fncjlhhkBHb5/PKOUrNJao0cvGTMzxBU3eytKqhvMbjwoisLb6yKNfm9dVAi/\n+jyeQ2eLmRvWcbKzKymf6oZmru/BnXOAK1vOvW/SqWY3HmwsLfjk/jkdHtegsHZWEP/Ykcy5wiqj\nAUfb4nNQe1gggP5911A4m9uNFHcHazY/NK/D4042lqyc5s8XMVn89upxuNh1/DzYEpeNlYWGZT0o\nEACWTfDlw8MZZpV/YBDq6cDXjyzo8HiQux2XR3jyydEMHl4UZvTzYHNsDh4O1swdbTwU7GJLJ/qw\nK6nArPIPDCJD3Iz+HGaGuDLWx5EPDqVz88xAo58HW+JzmODnRJhX5/sX21o2wYfE3Aqzu5kE+om7\n4azltpZP9OXPDgmsP5RmtHBu1qlsjc/h8jGeuPZwDrVkvDefHss0u/dIgNvnBBs9UeSmyEBe3pHM\n+kPpRj9Xq+qb2JmQz02RgT3asuVsa8nc0R7sTS40y5/D40sieNzIjbN1UcG8fyidz45l8pCRsMzM\nkhpi0kt5cpnxMKyLhXo6EOHtQHJ+ldnNHQCj82XQz6F2JOSz/WQuq6Z1nEPFZJSSXVZr9AgqYwzn\n3pfVNJrdeFAUhXfu6GwOFcyTG09w5HwJc4yERO5IyKemoZnrp/rxYg9/P/Np1jcBw5uqubWcdcVK\nq+HWWUHsSS4ko7jjns6jaSXklNf1eEIItB5PZG6DuysudlZcN8WPzbHZRhNEdyTkU9vYzPWdpMQa\nYxgPQ+nnEOrpwIJwDz46kmE0hd0QEtfdfta2Wv9dmNldwq5Ejdavsq0/bHz//+bYHKy1Gq4ycoyE\nMYYzW2FojYdrJ/viYmfJB50kPm6OzcHbyZrZo3pWIDjbWRLVUkwMpfFw86xALC2UzsdDXDaTA5w7\nTQ2+WJiXA2FeDlhZmFf+QXfWzQmmvknH59FZHb7X1KxjW3wui8Z69rjjanaovuPHz8XGrPIPunNH\nVAiFlfV8n5DX4XvltY38kFTAtZN9e7wf0XDuvTkWjJ1RFIV1UcEk5FZwPKNjaNb5omriM8t6N3cw\nfGaaYYHQGSuthltmBrVLwm7ryHl9SNx1PWhPNlg6BD8z3eytWDHZj03Hs4zmYnx3Ko/6pu4zINoa\ninOoMC9H5o525+MjGUZzMbbEZQNwXW/mkq1z6qEzHuaN9iDUw76LuUM2tpYWLOnh1jXDUa9gXuHL\n3Vkx2Q9nW8tOU7O3xOXg62zDrBC3Hr/m0Pmk7IEwL0dujgzsUUuzOVk7KwiNohgNCdsSl4OdVc8H\nN+gPsF82wadXv8YcrIsKpqahmS9iOk4KN8dl4+dsw8xeDO5lE3xZGOHZo9Zuc3L7nGByy+uMnt+5\nJTaH6UEuvZrg3TAjgAXhHswM6XjOsblSFIV1c4KJzyzrEJZmSEBcPN4bR5ueb8lYFxXMFWO9Om1j\nM0c2lhbcHBnIjsR8csvbB32U1TSwN7mA66b4dZqebMy9C0K5boofHg7mk3/QHS9HG5ZN9GVjTFaH\nNPrUgkpO51RwfS8mxgA/u3w0a2cH9epnN9jG+ToxM8SVD4+ko7toUvjj2WKKqup7tH/RwNJCw8OL\nwrg5svPTGszRZRGeBLrZGp0Ufncqj4ZmXZcnL1zMzd6KexeMYnUvfo05WDnVH0drrdGfw5a4bBSl\ndzdZI7wduGFGAFcPtTnU7CAU4KMjHUPCtsTmYG9l0XrjtCfmjnZn6QRvlow3r+1N3VkXFUx1QzNf\nxmZ3+N7muGwCXG2ZEdzzecDyiT4sjPBkQRfJ0+Zo3ZxgsstqO5z1rA+Jy2FmiCsBrj2fQ90YGciC\ncI9e/ewGm0ajcNucYGIzyjqEpTU06edQS8Z7Y9+LLRl3RoVw5VgvwrzMKy+nK7ZWFtwUGcB3p/PI\nr6hr972S6gb2JRdyXTchcRcbVoUzwEs3TDbazmPOfJxtuGq8N59FZ1LXeCFevzUBcXzXCYgXs9Jq\n+Ne6GUT2osg0B5MDXJgS6ML6w+nt4vWLq+rZn1LEdVP9ezW4ne0sef/uWYzu4SqUubhyrBd+zjas\nP5zW7vGkvArO5Ff2akII+oTa9ffM7tE+FnOyekYAdlYWHSaFhgTE3hQIoA9Q+e9PZppdK2Z3bp8T\njE5V+fiiSeH2k3k0Nqu9LhgXRnjy6q3TzG7vXnfuiAqmsq6JzbE57R7fEpeDRoEVk3s32V89PYA/\nXDfBlJc4INZFhZBeXMPelPZHFG2Jy8HRWttpVkZn7rss1Oi2EHNmoVG4fXYwR8+XkJRX0e57m+Oy\nCXG3Y0o3IXEX+83ycZ3uFTZX9tZa1swIYPvJ3NZQHDCExOUwZ1T3IXFtKYrC32+c0mUInznyc7Fl\nyXjvloT4C3Oo+qZmtp/KZekEn04D1Iyx1lrw9rpIZgQPrTnU1EAXJgc488Gh9nOowsp6DqYWcf1U\nv16977vYWfH+3bMY5TF0VlpBHyzo42TDB4fS2j2ekFtBakFVrz8zA930c6iebJc0JzfMCMDW0qLD\nz2F/SiFlNY09Ckdra1KAM+8O0TlUs5E51NetQbu9Gw/DrnAeqtZFBVNW08i2+AuTQkMCYm//Uoey\nO+YEc66wmh/PFrc+ZkhA7E2L0VCmtdBw25xgDqYWk1pQ1fr45lh9AuJQWw3oKycbS1ZN82dbfA6l\nbY4KMCQgdhYEM9wEutmxaIwXnxzNpKHpQvv+5rhsRnvaM8HPvJI++0tksGFPZ1rrpNAQEjd3tEeX\nZ1gPJ8sm+ODhYM2HbW4o1TU2893pPJZN7D5Feri4KTIQa62mXQtefkUdh84Vc91U/yF3Y6ivbp8T\nTGOzyobozNbHTmaXc66oesR8ZoK+fb+0ppHtbc5j3Z1USGVdE9eNoJ/DujnBpBZUcfhcSetjX53I\naQmJGxlzSa2FhrWzg9ifUsS5wgtzqK1xOfqQuBEyh3K2tWTlND+2xOVQXnOhfX9zXA6udpZDrpOg\nr4Ld7VnYkovR2GYL5JbYbCK8HRjn27suRCmczURUqDvhXg7t9vD1JgFxuLhmsi9u9lbt7pAZEhDH\n9SBFeri4eWYgVhYaPmwZDzqdyrZ4fQJiZ0mRw9EdUSHUN+laJ4WGBMSrJ/n2KCRuuFgXFUxRVT3f\nntbv6cwpq+Xo+RJWjqACQVEU7ogKISmvkph0/Z7O2MwyMkpqRlSBYKXVsHZWID+cubCnc1diAVX1\nTb3uRhnKXO2tWDHFjy/b5GL0NiRuOAjzcmBemDsfHU5vzcXYEpeDlYWG5T0MiRsO5o52J9Sz/Z7O\nrfHZuNtbMd9IsOJwtWKKHy52lu061rbE5TDO12lIbVO6VLe05GIYTg3QtYTELexh0O5wsW6Ofg71\neYx+DqUP2s3jmsm+QyrX4lKtmxNMQWU935/WnyqSWVJDdHop1/dhDjVyfmpmzhD0cSKrnPjMMirr\nGtmZkM81k0bW4LaxtOCmyEB2JOSTU1bbmoA4ku4Yg/6Ygasn+fBFTBbV9U1Ep+sTEEfShBBgjI8j\ns0a5te7pbJuAOJIsDPck2N2O9YfSgDYhcSPs57Bymh+ONhf2dG6JzcZKq2kN8xkp1s4ORqMofNiS\ni7E5LhsvR2ujqaHD2R0tuRhfHtfv6dwcl80kf+chtz3nUq2bE0JOeR27kgpobrnJevkYT5zN6Azi\n/mbIxYjLLONkVjkVdY3sTOxdSNxwYMjF+O50PnnldaQVVRPXy5C44cCQi/F5TCY1DU0cOV9Cbnnd\niPvMHO/nRGSwK+sP6+dQ3yfkUdeoGzHdBwaXj/EiwNW2dVHuQtBu78fDyHk3GQJWTfPHvmVP5/en\n86lv0vV6D8JwcNvsIFTg4yMZrYN7pL3pg34vY2V9E5vjstkSp0/teVOJAAAgAElEQVRAvGr8yCoQ\nQD85ziypZW9yIVvicvDrZQLicKBp2dN5LK2UxNwKtsTlMC3IZUilfJqCnZWWG2YE8M2pXPLK6/jq\nRC6Lx3nh1IuQuOHAkIux4VgmBRV17DlTwIpehsQNB21zMVILqjiVXTEiPysWj/PC19mG9YfSOXyu\nmILK+hHVfWCwpjUXI00fEtek4/oR+HO4bXZLLsZR/RxKHxI38v5dGHIxtsblsDU+u9dBu8PFuqhg\n0otr2Jein0P5u9gyI2joBJ2ZgoVG4fY5wRw5X8KZvEq2xuUwI9iVwD4khEvhbEYcbSxZNd2fbSdy\nWH84nQBXW6aPsMEN+j2dV4zx4tNjGWw6ntXrBMThYnqQC+N9nXj/x7Q+JSAOF1eN1591/vruVPYl\nF7Jiau8SEIeLGyMDsNZq+MPW0yTmVvQ6HG24MOzpfPTTWIqrG0bcnXODdXOCKa1p5OefxNLYrI7Y\n8WDY0/n0lydHbIGgtdCwdlYQB1KLeGVXCo7WWq7oZUjccGA463xrfA4fHskgyM2OaYEug31ZA67t\nWeebY7OZFeKGn4t5ndM+EAy5GO/9mMbXJ/Qhcb0J2h0ulk30wcPBitd/SGV/ij4kbiTOoW6KDMRK\nq+H3W07pg3b7eJNVCmczc0dUCA1NutbWmpGyf/Fi+j2dDZwtrO7V+YvDiX5PZzDJ+VWU1TSOyJUU\nuHDWeUx6qT4BsRfHqwwnhrPOj5wvwUKjcE0vU6SHi9GeDswP8+DI+RKcbLRcPmZkBJxcLGq0O2Fe\nDhw5X0Kohz0T/UdOBkRb1072xdXOkiPnS5g72n3EhMRd7JZZQVhaKBw9X8LSERQSdzHDWefxI3wO\nZTjrXB8SNzI/Mw1bIJPyKqkYYSFxbVlrLbhlZhDR6aUtQbsjczy42Vtx7WTf1jlUX0PipHA2MxHe\njswepW9DHakrCACXhXsS4m6HVqMMuXO5Ten6qf442WhxtbMccudRm9LaWfrzdvuSgDic3BEVAsD8\nsJEVEnexdVHBAFw9yRdr7cgsEAx7OoE+BZwMFzaWFtw0U38O9UidEAJ4Olq3hoGN5LmD4axzGJlb\nvAwWRngS5GaHpYXC1ZNG3hYvA8NZ5yMtJO5ia2cHoVFgrI8jY3xkDnVZuEefj2gdeT0LQ8Az147n\nQGoR4SMoAfFiGo3C86smkV5cM6ISEC9ma2XBi2smo6qMqJC4i/k42/D8yokEuNqN2AIB9Oco/mb5\nWKJGj6wQqIstHufNz68I44YZAYN9KYPqxsgAcspruX3O0Dp/2NTuXxAKwIrJI7dQAvjlVREEu9uN\n+PeHZ64dz6GzxYR5jew51AurJpFVWoOL3cidQ9lba3lxzWQ0ysieQ/m52PLcykkEu4+8bY9tTQ10\n4allY1lwCacVKW0PSR9qIiMj1ejo6MG+DCGEEEIIIYQQQ5CiKDGqqkZ297yRe/tFCCGEEEIIIYTo\nASmchRBCCCGEEEKILgzpVm1FUcqBlMG+DjMQBGQM9kWYAWegfLAvwgzIeNCT8aAn40FPxoOejAcZ\nCwYyFvRkPOjJeNCT8aA30sZDsKqq3abwDvXC+R1VVe8f7OsYbIqiFPbkL3u4k/GgJ+NBT8aDnowH\nPRkPejIeZCwYyFjQk/GgJ+NBT8aDnowH44Z6q/a2wb4AM1E22BdgJmQ86Ml40JPxoCfjQU/Gg56M\nBxkLBjIW9GQ86Ml40JPxoCfjwYghXTirqiqDW09aSpDx0IaMB2Q8tCHjARkPbYz48SBjodWIHwsg\n46ENGQ/IeGhDxoMRQ7pwFq3eGewLEGZFxoNoS8aDaEvGgzCQsSDakvEg2pLxYMSQ3uMshBBCCCGE\nEEL0N1lxFkIIIYQQQgghuiCFsxBCCCGEEEII0QUpnIUQQgghhBBCiC5I4SyEEEIIIYQQQnRBCmch\nhBBCCCGEEKILUjgLIYQQQgghhBBdkMJZCCGEEEIIIYToghTOQgghhBBCCCFEF6RwFkIIIYQQQggh\nuiCFsxBCCCGEEEII0QUpnIUQQgghhBBCiC5I4SyEEEIIIYQQQnRBCmchhBBCCCGEEKILUjgLIYQQ\nQgghhBBdkMJZCCGEEEIIIYToghTOQgghhBBCCCFEF6RwFkIIIYQQQgghuiCFsxBCCCGEEEII0QUp\nnIUQQgghhBBCiC5I4SyEEEIIIYQQQnRBCmchhBBCCCGEEKILUjgLIYQQQgghhBBdkMJZCCGEEEII\nIYToghTOQgghhBBCCCFEF6RwFkIIIYQQQgghuiCFsxBCCCGEEEII0QUpnIUQQgghhBBCiC5I4SyE\nEEIIIYQQQnRBCmchhBBCCCGEEKILUjgLIYQQQgghhBBd0A72BVwKDw8PNSQkZLAvQwghhBBCCCHE\nEBQTE1Okqqpnd88b0oVzSEgI0dHRg30ZQgghhBBCCCGGIEVR0nvyPGnVFsNaTUPTYF+CEEIIIYQQ\nYoiTwlkMW3nldUz94w5+TC0a7EsRQgghhBBCDGFSOIth62xhFQ3NOk7nVAz2pQghhBBCCCGGMCmc\nxbCVV14HQHZZ7SBfiRBCCCGEEGIok8JZDFt5FfrCOUcKZyGEEEIIIcQlkMJZDFv5FbLiLIQQQggh\nhLh0UjiLYcvQqi0rzkIIIYQQQohLIYWzGLYMK86lNY1yLJUQQgghhBCiz6RwFsNWXkUdtpYWAOSU\n1Q3y1QghhBBCCCGGKimcxbDU1KyjsLKeKYHOgLRrCyGEEEIIIfpOCmcxLBVVNaBTYXqQKyCFsxBC\nCCGEEKLvpHAWw5LhKKrJAS5oFCmchRBCCCGEEH0nhbMYlgyJ2gGutvg42ZAlhbMQQgghhBCijwa8\ncFYUJVBRlN2KoiQoinJaUZRHWx53UxRlh6IoKS3/dR3oaxPDhyFR29vJBj8XW1lxFkIIIYQQQvTZ\nYKw4NwG/VFV1PDAHeEhRlPHAr4FdqqqGA7ta/r8QfZJXUYelhYK7vVVL4Syp2kIIIYQQQoi+GfDC\nWVXVXFVVj7f870ogEfAHrgfeb3na+8DKgb42MXzkl9fh5WiDRqPg52JLbnktOp062JclhBBCCCGE\nGIIGdY+zoighwDTgCOCtqmpuy7fyAO9BuiwxDORV1OHtZA2Av6stjc0qRVX1g3xVQgghhBBCiKFo\n0ApnRVEcgC+Ax1RVrWj7PVVVVcDo8qCiKPcrihKtKEp0YWHhAFypGIryKurwcbYBwN9F/99s2ecs\nhBBCCCGE6INBKZwVRbFEXzR/pKrqppaH8xVF8W35vi9QYOzXqqr6jqqqkaqqRnp6eg7MBYshJ7+8\nDm8nfcHs52ILSOEshBBCCCGE6JvBSNVWgHeBRFVVX27zra3AnS3/+05gy0BfmxgeKusaqW5oxuei\nwlmStYUQQgghhBB9oR2E33MesA44qShKXMtjvwVeBDYoinIPkA7cNAjXJoYBw1FUhlZtJxtLHK21\nkqwthBBCCCGGjILKOvYlF5FZUsPDV4RhaTGo8VQj3oAXzqqqHgCUTr595UBeixie8sr1IWCGVm3Q\nrzpLq7YQQgghhDBXjc06YtJL2ZtcyN4zhSTkXoiBmhzgzJXjJDt5MA3GirMQ/SrPsOLcrnC2kVZt\nIYQQQghhtu5+7xj7U4rQahRmBLvyxNIxzAvz4Pb/HGFnYr4UzoNMCmcx7Fzcqg36Fee4zLLBuiQh\nhBBCCCE6lVtey/6UIu6aF8IvlkTgaGPZ+r2FEZ7sTCzgeZ2KRtNZ467ob31ulFcUpVJRlAojX5WK\nolR0/wpC9I+88jqcbS2xsbRofczf1ZbSmkZqGpoG8cqEEEIIIYToaFei/kCh22YHtSuaAa4c50Vh\nZT0ns8sH49JEiz4XzqqqOqqq6mTky1FVVSdTXqQQvZFXUdeuTRvAX5K1hRBCCCGEmdqVmE+wux2j\nPR06fG/RGC80CuxMzB+EKxMGJotmUxTFS1GUIMOXqV5XiN7Kr6jD27l94XzhLGdJ1hZCCCGEEOaj\npqGJg2eLuXKsN/qTe9tztbciMtiNnS2r0mJwXHLhrCjKdYqipADngb1AGvDNpb6uEH2VV16Hj5N1\nu8fkLGchhBBCCGGODqQU0dCkY/E4r06fs3i8F4m5FWSV1gzglYm2TLHi/GdgDpCsquoo9EdKHTbB\n6wrRa03NOoqq6ju0ans7WqNRpHAWQgghhBDmZVdiAY42WmaOcuv0OYtbErV/SJJV58FiisK5UVXV\nYkCjKIpGVdXdQKQJXnfEUlUVnU4d7MsYkgqr6tGpdGjV1lpo8HGykbOchRAAJOVV8P3pvMG+DCGE\nECOcTqeyK6mAhRGeWFp0XpqFejoQ6mHPjgTZ5zxYTFE4lymK4gDsAz5SFOUVoNoErztivborlXkv\n/UB9U/NgX8qQk1fe8QxnAz8XW1lxFkIA8MrOFB77LE5uUooRqby2kd2yamW2VFVl95kCymsaB/tS\nxACIzyqjqKq+dUW5K4vHe3P4XDGVdTI2BoMpCufrgVrgceBb4CywwgSvOyJll9Xy5p5Ucsvr2Jdc\nNNiXM+QYznD2NlI4+7vakiPhYEII4Ex+JTUNzaSXyF4xMfJ8ejSDu947RnqxrHOYo03Hs7nrf8e4\n+tX9xGaUDvbliH62K7EAC43C5WM8u33ulWO9aGxW2Z8iNcJguOTCWVXValVVm1VVbVJV9X1VVV9t\nad0WffCP786gAk42WrbF5wz25Qw5rSvOzsZXnHPLa0fcClN5TSOfHcugoUk32JcihFmob2omvVhf\nMCfmVgzy1Qgx8Aw3jA6fk+maucmvqOOP204z0d8JRYGb3j7EuwfOo6oja+4ykuxMzGdGsCsudlbd\nPlf/PEt2Srv2oDBFqnaloigVLV91iqI0K4oiM5E+OJVdzpdx2dw1L4QVU/zYkZBPTUPTYF/WkJJX\nUY+lhYKbkTcfPxdbGptVCqvqB+HKTEdVVdYfTmfm8ztZfyityw/TjOIaVr11kKe+OMnm2OyBu0gh\nzNi5wmqaW26gSeEsRqKsUv22pcPnSgb5SkRbqqry9JenqG/S8eot0/j65wtYNMaLP3+VwP3rY6R1\nexjKKq0hKa+yyzTttrQWGhaN8WL3mQKammVBZKCZYsXZUVVVJ1VVnQBbYA3w5iVf2Qijqip/+SYR\nF1tLfnZ5GCum+FHb2MwuOa+tV/Ir6vBytEGj6XgGnr+LfhV6KAeE1TY088vP43lm8yk0Cjyz5TSP\nfRZn9AZLbEYpq948SHFVA77ONnwWnTkIVyyE+UnOrwTA1tJCCmcxImWXXlhxlpVM87E1Poedifn8\n8qoIQj0dcLaz5O11M3jm2vHsTirgmtf2E5dZNtiXKUzIkJB9ZQ/2NxssHudNaU0jxzNkLAw0U+xx\nbqXqbQaWmvJ1R4I9yYUcTC3m51eE42xrycwQN7ydrKVdu5fyyuuMtmnD0D/LOb24mtVv/ciXsdk8\nvjiCg09dwS+XRLA1PofrXz9IakFV63O/PZXLLe8cxt5ay6afzeUnc0OISS8ltaByEP8Ew5NOp7Zu\nERgs+RV1fB6dSV2jBAr2RHJ+JdqW/WSJufJvwtyoqsr3p/N47NNYSqsbBvtyhh1VVckqrcXZ1pLc\n8joyZJ+/WSisrOfZraeZGujCPfNDWx9XFIV75o/i8wejUFVY/eZB/rQtgap66UgcDnYmFjDKw57R\nng49/jWXRXhgaaGwM1HatQeaKVq1V7f5ukFRlBcBSWDqhaZmHX/Znkiwux23zwkGwEKjcM0kP/ac\nKaRCkvN6LL+izmiiNgztwvmHpHxWvHaAnLJa/vuTmTy6OBythYafXxnO+rtnU1zdwPWvH+DrE7n8\nZ/85fvrRccb7OfHlz+Yy2tOB1dMD0GoUNkRnDfYfZdj56GgGl/1tNyWDNMHX6VR+/nEsT2w8weV/\n28OnRzOkfasbyflVhHjYMznAheyyWml/NCPJ+ZWse/co96+PYXNcDh8cSh/sSxp2iqoaqG/Scd0U\nP0D2OZuL3285RU1DM3+/cTIWRrrmpgW5sv3RBdw6K4j/HjzPkpf38p0cqTekVdU3cfhsMVeO7Vmb\ntoGjjSVzQt2lcB4EplhxXtHmaylQiT5pW/TQxpgskvOreGrZWKy0F/5KVkzxpaFZx3en5I2xJ1RV\nJa+izmiiNoCTjSWO1tohl6y9/lAad78XTYCrHdsens+iMe3fYOeHe/D1I/MZ4+PIQx8f57mvE1k2\nwYdP7puDu4M1AJ6O1lwx1otNx7NolKLKpHYm5NPQpBu0lt+NMVkcTSvhvgWj8HWx4debTrL0//bx\n7ak8acHsRHJ+JWO8HRnn6whAgrRrD7qymgae3XKK5a/s50RWGc+uGM+CcA8+PJIuwYYmltXSpr0w\nwhMPByvZ52wGvj6Ryzen8nhscThhXo6dPs/Z1pLnV03ii5/OxdnWkgfWx3Dv+9FDegvaSHYgpZCG\nZl2v2rQNFo/z5lxhNecKq7p/sjAZU+xxvqvN132qqj6vqqpszO2hmoYmXt6RzPQgF5ZP9Gn3vamB\nLgS62bLtRO4gXd3QUlnfRE1DMz7O1p0+x8/FtjUUZah4e985Zoa4sulncwlytzP6HF9nWz69P4qH\nFo3m8cURvLF2OjaWFu2ec/PMQIqqGlr30wxnG2OyBmQVpa6xmSPn9b9PUt7At/wWVdXz/PZEZoW4\n8Zvl49j007m8vW4GAA9+GMOqN3/kfJEcN9NWbUMzGSU1hHs7MN7XCZCAsMG2JS6by/++h/WH01k7\nK4g9TyzirnmjuHdBKIWV9Xx9UrYsmZLhMzDQzY7Zoe6yz/kiOp3K3787Q1LewLwvFFfV8/stp5gc\n4Mz9C0K7/wXok5W3/Xw+v1k+loOpRSx5eS+nssv7+UqFqe1MLMDJRktkiGuvf+2VLWFikoU0sPpc\nOCuK8pqiKK929mXKixzO/r3vPAWV9Tx9zTgUpX1rjqIorJjsx8HUIoqHeBL0QMgv7/wMZwP9Wc5D\np3DOKaslq7SW5RN9OxTCF7PSanhi6VgeXRxuNBxtYYQnXo7WbDg2vEPCmpp1PLP5FA9/fJzy2v5t\nwY1JL6WuUb8admaAJlltvfB1IjUNTTy/aiIajYKiKCyd4MN3j13GS2smcbagir99lzTg12XOzhZW\noaoQ4e2Ip6M17vZWUjgPosPnivnFhnhGezqw/dEF/HnlRNzs9aciLAjzINTTnv8d7Pr0ANE7hsLZ\n39WWOaHuss/5Igm5Fby+O5WffXR8QHIjXtmVQkVdI3+9YTJai55Pyy0tNDywcDTfP34ZDU06vj4p\niyxDSbNOZXdSAZeP8cKyF3/vBgGudkz0d2JDdOaIO2Z1MF3KinM0EAPYANOBlJavqUD3B5EJMktq\neHvfWZZN8GFGsJvR56yY4kezTuUbadfuVl5FyxnOXRTOfi425JQPncL5WJq+hW7WKOPjoze0FhrW\nzAhg95kC8iuGVrt6b6QUVFHb2ExRVQP/3JHc61/f1KyjvKaxR8Er+1IKsbRQmBbkwpkBXnE+mFrE\npthsHlw4mnDv9q19WgsNN88MYs2MAHYmFMge3jYMf08R3o4oisJ4PycSB+Gmh4CCijoe/jiWYDc7\n3rtrJmN9nNp9X6NRuGtuCCeyyiU91oSySmtwsbPEwVpLVKj+s0X2OV9wILUI0B9b97fvzvTr79XY\nrGNrfA7LJ/p2GP89Fehmx0R/Z2LSSk18daI/RaeVUFzd0Lpy3Bf3zg8lpaCKXSOgk9Bc9LlwVlX1\nfVVV3wcmA5erqvqaqqqvAVeiL55FF3Q6lae+OIECPH3NuE6fN9bHkTAvB7ZKuna3DMnGnaVqg75V\nu6ymkeohkkZ59HwJDtZaxvn27QP1YjdFBqJT4Yvjwzck7ESWfoJ9WYQnHxxKIyGn86KovqmZxz6N\nZcFff2DGn3cw5nffEPb0N0z50/dEPrej2xsM+5OLmBHsyrRAV87kV7aeDdzf6hqbefrLk4S42/HQ\norBOn7dmegANzTq+klbXVskFlVhZaAhp2fYwzteJ5PwqCVQbYI3NOh76+DjV9U38a90MHG0sjT5v\n9fQAHG20/O/g+QG+wuEru6yWAFd9WOZoTwc8HKy73OecW17Lfw+cp2CAbrjGZZZR2cNQ1IKKOpPn\ndhxMLSLC24E7ooL578Hz/XpT4UBKEWU1ja1BbX0VGexKXFYZ9U1yssJQoNOpvPRtEh4OVn3a32xw\n7WRfAlxteXNPqnTlDBBThIO5Am1n9Q4tj4kufHQ0gx/PFvPba8YR6GZ83ypcaNc+llZC7hBaKR0M\nhiKny1btlmTtofKzPJZWwoxgV6MJm30xysOeWaPc+Dw6a9i+ycZlluNko+XVW6biYmfF77ecMvpn\nVVWV33xxks1xOUz2d2H5JB9+MjeEXyyJ4ImlY6hr1LE5NrvT36ewsp6E3AoWhHsy1teRukbdgLU7\nvrk7lbTiGp5bOanLFv6J/k6Eezmw6Xjnf46RJiW/ilBP+9aWyHG+jjQ06Tgne8EH1EvfJHEsrZQX\n10wiwrvzMCR7ay23zAzkm1N5vX7fLqysl24LI7JKawlw0c87FEVhTqhbl/uc/7D1NH/6KoF5L/3A\n45/Ftd6c7A+HzxWz8o2D/Oyj491+Rp3Jq2T+X3fzxu5Uk/3+dY3NHD1fwvwwT369fCxBbnY8sTG+\n345+2hafg5ONlgURHpf0OpEhbjQ06TiVPXS7Z/YlF7IxZvjOTdr64ngWxzPKeGrZWBystX1+Ha2F\nhvsvCyU2o4yj5yXkbyCYonB+EYhVFOU9RVHeB44DL5jgdYetzJIa/rI9kflhHqydFdTt81dM8UVV\n9amLonN5FXW42Fl2WUgYjqTK7kGydkVdI7/4LI7fbT5psmvsjdLqBpLzq0zSpt3WTZGBnC+qHrZv\nsieyypgc4IKLnRVPLRtDdHqp0cLxlV0pbIrN5pdLInjjtuk8t3ISv7l6HI9cGc5Di8KYHuTCF8c7\n/xA/2NLOd1m4J2N99BP/gdjnnFpQyVt7z7Jqmj/zw7uebCmKwpoZAcSkl5ImhSGgn2y3LdTGDfGA\nsKGYOL39ZC7/OXCeO6OCuX6qf7fPvyMqBFVVWd+Lo6kam3Wsfusgj2+Iu5RLHXb0ZzjXtK44A637\nnNOLO974O51Tznen81k3J5jbZgfz/ek8rnv9IGve+pGvTuSYdPzVNjTz1BcnsLHUsD+liC+7uHHZ\n1KzjyY3xNDTp+OxYpsm6fWLSS6lv0jE/3B07Ky3/uHEKWaW1vLA90SSv31ZdYzPfnc5j+URfrLVd\nZ5h0Z0awfr0qOm1ofq7XNjTz2Gdx/OrzeO5fH0NZzfA9v728tpGXvk1iepALa6YHXPLr3RQZiLu9\nFW/tPWuCqxPdMUWq9v+A2cCXwCYgqqWFWxih06k8ufEEGkXhxTWTOgSCGRPq6cBEfye2DWK7tqqq\nJOZW8NGRdLN9Q8srr+9yfzP0/Czn0znlXPfaATbFZvPRkYwBa1Fry7C/eWaIaQvnqyf54GCtHZZn\nOtc1NpOUV8mUQGcAbpwRyNRAF/7yTWK7oLAvY7P4v50p3DAjgIevMN7qvHp6AMn5VZzupNV7X0oh\nrnaWTPBzItzLEUWBxNz+3eesqipPf3kKOyttl1s82lo51R9FgU1dTEI7o9Opw+oc+er6JrLLaonw\ndmh9bLSnA1YWmi5b+s1Js07leEYp//j+DNe+tp+xz3wzpAL/zhZW8cTn8UwNdOHpa8b36NcEutmx\neJw3nxzN6HFY01cncsgsqWV/SmGP234Hm6qq/b7aVlzdQF2jrkPhDMb3Ob+6KwVHGy2/WjqGP1w3\ngUO/vZJnrh1PYWU9D38cy/Q/7+DB9TF8dizjkrMz/vbdGdKLa/jvnTOZEezKn75KoKiTYNR3D5wn\nPqucFVP8yC2va72ReakOpBah1SjMGqX/mUSGuHH/glA+PpLB3uRCk/weBruTCqhuaGbFJbZpg/7I\nyVEe9kSnD819zhtjMimpbmDt7CD2nCngmlcPEDNE/yzd+eeOZIqrG/jT9RONBrn2lo2lBXfPH8We\nM4VD5nNsKLuUVO2xLf+dDvgBmS1ffi2PCSM+OpLOoXPF/PbqcQS4dt6ifbEVk/2IzyonvXjgVo1K\nqhvYEpfNLzfEM/uFXSx/ZT9Pf3mK138wXVuUKeV3cYazgbejNRYahewujqTacCyT1W/+SG1jMy+u\nnqRf7R+EtMpjaSVYWWiYHOBs0te1s9KyYoof20/mDpkJZU+dzqmgWacyOcAF0IcL/fn6iRRXXwgK\nO3yumCc3nmDuaHdeWNX5zatrJ/tiZaExulqtqir7U4qYH+6JRqNga2XBKHf7fg8IO3SumCPnS/jl\nVRF4OHR+7FpbPs42zA/zYNPxrF4nbz6/PZGFf91NbcPw2DeXUqA/77JtmJqlhYYwLwezPsu5qr6J\nbfE5PPZpLJHP7WD1mz/y5p6z2FlqmRTgwtObT7beaDNnNQ1N/PTDGKwtLXjztulYaXs+Bblr3ihK\naxrZEtf9DSBVVXl77zkcbbQ0NqvsSzZNUdWffkjKZ/5Lu/njtoR+/X0Midpt5x+jPe1b9jm3L5wT\ncir47nQ+d88bhbOtfg+6k40l98wfxe5fXc7/fjKTFVP8iM8q46kvTjL7hV1c/cp+3tl3ttc3AKLT\nSvjfj+dZNyeYuWEevLh6EjX1zUZ/HucKq3h5RzJXjffm7zdOxsXOkg3Rprl5dCCliOlBru3aZx9f\nEkG4lwNPbow3aev/1vgcPBysiRrtbpLXmxHsSkx66YC3OjfrVD48nM7lf9vNda8f4LFPY3llZwpb\n43M4lV3ebVdCU7OOf+8/z7QgF55fOZGND85Fo4Gb3j7Ev/aeHVaJ0Ym5FXxwKI3bZgcx0d90c7vb\n5wTjYK3lX7Lq3O8uZcX5Fy3//YeRr79f4nUNS5klNfzlmyQWhHtw66zAXv3aa1vuSG6NG5hV5w8O\npTHjuR08+mkcu5LymTXKjb/eMJnLIjzZHJdjlkE6eRV13Y2mzaoAACAASURBVK44ay00+DjZGF1x\nrm1o5lefx/PkFyeYGeLG148s4JZZQYz1cRyUcLajaaVMDXTp9hiqvrgpMoDaxma2x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8MS2f9zcd48ZxITxwcQRXxQVy28c7uGnhNv529XDmxrf/3WAsDHZ2bZknZ8SwLjWf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\n1v5Edm95c8EorJTqVv/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CdNj3wKvAhYBXB19T0+x+A61/93f054QQQoh+R1achRBCiL5j\nIfAXTdMOnPX4RmABGCpkAwWappW28T5lgEuPHKEQQghxHpLZZCGEEKKP0DQtC/hXC089CyxUSu0H\nKoGb23mf00qpzUqpJGAFsMzUxyqEEEKcT5SmaeY+BiGEEEIIIYQQwmJJqrYQQgghhBBCCNEGGTgL\nIYQQQgghhBBtkIGzEEIIIYQQQgjRBhk4CyGEEEIIIYQQbZCBsxBCCCGEEEII0QYZOAshhBBCCCGE\nEG2QgbMQQgghhBBCCNEGGTgLIYQQQgghhBBt+H96V7+U0L/E4gAAAABJRU5ErkJggg==\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from statsmodels.tsa.seasonal import seasonal_decompose\n", + "decomposition = seasonal_decompose(df['Milk in pounds per cow'], freq=12) \n", + "fig = plt.figure() \n", + "fig = decomposition.plot() \n", + "fig.set_size_inches(15, 8)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Testing for Stationarity\n", + "\n", + "We can use the Augmented [Dickey-Fuller](https://en.wikipedia.org/wiki/Augmented_Dickey%E2%80%93Fuller_test) [unit root test](https://en.wikipedia.org/wiki/Unit_root_test).\n", + "\n", + "In statistics and econometrics, an augmented Dickey–Fuller test (ADF) tests the null hypothesis that a unit root is present in a time series sample. The alternative hypothesis is different depending on which version of the test is used, but is usually stationarity or trend-stationarity.\n", + "\n", + "Basically, we are trying to whether to accept the Null Hypothesis **H0** (that the time series has a unit root, indicating it is non-stationary) or reject **H0** and go with the Alternative Hypothesis (that the time series has no unit root and is stationary).\n", + "\n", + "We end up deciding this based on the p-value return.\n", + "\n", + "* A small p-value (typically ≤ 0.05) indicates strong evidence against the null hypothesis, so you reject the null hypothesis.\n", + "\n", + "* A large p-value (> 0.05) indicates weak evidence against the null hypothesis, so you fail to reject the null hypothesis.\n", + "\n", + "Let's run the Augmented Dickey-Fuller test on our data:" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
\n", + "\n", + "\n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + "
Milk in pounds per cow
Month
1962-01-01589.0
1962-02-01561.0
1962-03-01640.0
1962-04-01656.0
1962-05-01727.0
\n", + "
" + ], + "text/plain": [ + " Milk in pounds per cow\n", + "Month \n", + "1962-01-01 589.0\n", + "1962-02-01 561.0\n", + "1962-03-01 640.0\n", + "1962-04-01 656.0\n", + "1962-05-01 727.0" + ] + }, + "execution_count": 17, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "from statsmodels.tsa.stattools import adfuller" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "result = adfuller(df['Milk in pounds per cow'])" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Augmented Dickey-Fuller Test:\n", + "ADF Test Statistic : -1.30381158742\n", + "p-value : 0.627426708603\n", + "#Lags Used : 13\n", + "Number of Observations Used : 154\n", + "weak evidence against null hypothesis, time series has a unit root, indicating it is non-stationary \n" + ] + } + ], + "source": [ + "print('Augmented Dickey-Fuller Test:')\n", + "labels = ['ADF Test Statistic','p-value','#Lags Used','Number of Observations Used']\n", + "\n", + "for value,label in zip(result,labels):\n", + " print(label+' : '+str(value) )\n", + " \n", + "if result[1] <= 0.05:\n", + " print(\"strong evidence against the null hypothesis, reject the null hypothesis. Data has no unit root and is stationary\")\n", + "else:\n", + " print(\"weak evidence against null hypothesis, time series has a unit root, indicating it is non-stationary \")" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# Store in a function for later use!\n", + "def adf_check(time_series):\n", + " \"\"\"\n", + " Pass in a time series, returns ADF report\n", + " \"\"\"\n", + " result = adfuller(time_series)\n", + " print('Augmented Dickey-Fuller Test:')\n", + " labels = ['ADF Test Statistic','p-value','#Lags Used','Number of Observations Used']\n", + "\n", + " for value,label in zip(result,labels):\n", + " print(label+' : '+str(value) )\n", + " \n", + " if result[1] <= 0.05:\n", + " print(\"strong evidence against the null hypothesis, reject the null hypothesis. Data has no unit root and is stationary\")\n", + " else:\n", + " print(\"weak evidence against null hypothesis, time series has a unit root, indicating it is non-stationary \")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "___________\n", + "\n", + "## Important Note!\n", + "\n", + "** We have now realized that our data is seasonal (it is also pretty obvious from the plot itself). This means we need to use Seasonal ARIMA on our model. If our data was not seasonal, it means we could use just ARIMA on it. We will take this into account when differencing our data! Typically financial stock data won't be seasonal, but that is kind of the point of this section, to show you common methods, that won't work well on stock finance data!**\n", + "\n", + "_____" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Differencing\n", + "\n", + "The first difference of a time series is the series of changes from one period to the next. We can do this easily with pandas. You can continue to take the second difference, third difference, and so on until your data is stationary." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "** First Difference **" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "df['Milk First Difference'] = df['Milk in pounds per cow'] - df['Milk in pounds per cow'].shift(1)" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Augmented Dickey-Fuller Test:\n", + "ADF Test Statistic : -3.05499555865\n", + "p-value : 0.0300680040018\n", + "#Lags Used : 14\n", + "Number of Observations Used : 152\n", + "strong evidence against the null hypothesis, reject the null hypothesis. Data has no unit root and is stationary\n" + ] + } + ], + "source": [ + "adf_check(df['Milk First Difference'].dropna())" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 24, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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fzlETJdK1tQLtGp7dKSBYTemofuZ7Omk7lEoq00lbXwGXrg+hs62cwutyD+hh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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "df['Milk First Difference'].plot()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "** Second Difference **" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# Sometimes it would be necessary to do a second difference \n", + "# This is just for show, we didn't need to do a second difference in our case\n", + "df['Milk Second Difference'] = df['Milk First Difference'] - df['Milk First Difference'].shift(1)" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Augmented Dickey-Fuller Test:\n", + "ADF Test Statistic : -14.3278736456\n", + "p-value : 1.11269893321e-26\n", + "#Lags Used : 11\n", + "Number of Observations Used : 154\n", + "strong evidence against the null hypothesis, reject the null hypothesis. Data has no unit root and is stationary\n" + ] + } + ], + "source": [ + "adf_check(df['Milk Second Difference'].dropna())" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 27, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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b2fzxpx7FL73r7rk6CbKc5sYZ9OLI33TGBqVtDjNsT/K5sFGtNNNDIPszAzJ2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Uos3CKj61jKSkukf4AbcNPqd6kDFuGLsdVgx3uvWWE+vRbB7+9FIcW7s8YIxh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\nosqWLJ0yuGtXL/YMBSqqtGwGRARrxma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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "df['Seasonal Difference'] = df['Milk in pounds per cow'] - df['Milk in pounds per cow'].shift(12)\n", + "df['Seasonal Difference'].plot()" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Augmented Dickey-Fuller Test:\n", + "ADF Test Statistic : -2.33541931436\n", + "p-value : 0.160798805277\n", + "#Lags Used : 12\n", + "Number of Observations Used : 143\n", + "weak evidence against null hypothesis, time series has a unit root, indicating it is non-stationary \n" + ] + } + ], + "source": [ + "# Seasonal Difference by itself was not enough!\n", + "adf_check(df['Seasonal Difference'].dropna())" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "** Seasonal First Difference **" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 30, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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OQVSopROv9/Dz7sV86UQWNneSPs0QzOFTIoGIczgVw2rJFIQ0koqLvyNLZyQd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\nytXkYR7+1HDKsW0MzTd43npgCl968mzXn+wpxbZ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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# You can also do seasonal first difference\n", + "df['Seasonal First Difference'] = df['Milk First Difference'] - df['Milk First Difference'].shift(12)\n", + "df['Seasonal First Difference'].plot()" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Augmented Dickey-Fuller Test:\n", + "ADF Test Statistic : -5.03800227492\n", + "p-value : 1.86542343188e-05\n", + "#Lags Used : 11\n", + "Number of Observations Used : 143\n", + "strong evidence against the null hypothesis, reject the null hypothesis. Data has no unit root and is stationary\n" + ] + } + ], + "source": [ + "adf_check(df['Seasonal First Difference'].dropna())" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Autocorrelation and Partial Autocorrelation Plots\n", + "\n", + "An autocorrelation plot (also known as a [Correlogram](https://en.wikipedia.org/wiki/Correlogram) ) shows the correlation of the series with itself, lagged by x time units. So the y axis is the correlation and the x axis is the number of time units of lag.\n", + "\n", + "So imagine taking your time series of length T, copying it, and deleting the first observation of copy #1 and the last observation of copy #2. Now you have two series of length T−1 for which you calculate a correlation coefficient. This is the value of of the vertical axis at x=1x=1 in your plots. It represents the correlation of the series lagged by one time unit. You go on and do this for all possible time lags x and this defines the plot.\n", + "\n", + "You will run these plots on your differenced/stationary data. There is a lot of great information for identifying and interpreting ACF and PACF [here](http://people.duke.edu/~rnau/arimrule.htm) and [here](https://people.duke.edu/~rnau/411arim3.htm).\n", + "\n", + "### Autocorrelation Interpretation\n", + "\n", + "The actual interpretation and how it relates to ARIMA models can get a bit complicated, but there are some basic common methods we can use for the ARIMA model. Our main priority here is to try to figure out whether we will use the AR or MA components for the ARIMA model (or both!) as well as how many lags we should use. In general you would use either AR or MA, using both is less common.\n", + "\n", + "* If the autocorrelation plot shows positive autocorrelation at the first lag (lag-1), then it suggests to use the AR terms in relation to the lag\n", + "\n", + "* If the autocorrelation plot shows negative autocorrelation at the first lag, then it suggests using MA terms." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "_____\n", + "### Important Note! \n", + "\n", + "Here we will be showing running the ACF and PACF on multiple differenced data sets that have been made stationary in different ways, typically you would just choose a single stationary data set and continue all the way through with that.\n", + "\n", + "The reason we use two here is to show you the two typical types of behaviour you would see when using ACF.\n", + "_____" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "from statsmodels.graphics.tsaplots import plot_acf,plot_pacf" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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DS41aY53ALU7Mcc35Nwmpw0uV9OGlhlENAhEAEbleRA6IyKCI3JXnuJeKSFxE3hbEdY3C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\nPnPiEJ+hq7uXmVg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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Duplicate plots\n", + "# Check out: https://stackoverflow.com/questions/21788593/statsmodels-duplicate-charts\n", + "# https://github.com/statsmodels/statsmodels/issues/1265\n", + "fig_first = plot_acf(df[\"Milk First Difference\"].dropna())" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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rq+CcFnpp5wv5STxYx3/d4s5ZDGddhrMuZ4fyu1+LClR1OXX8ML2TpuXF3x6K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\nMQn3fwDUsmwsxWROpQAAAABJRU5ErkJggg==\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig_seasonal_first = plot_acf(df[\"Seasonal First Difference\"].dropna())" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Pandas also has this functionality built in, but only for ACF, not PACF. So I recommend using statsmodels, as ACF and PACF is more core to its functionality than it is to pandas' functionality." + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 35, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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L/BZYrapPOK93AwuAcf2t25PU1FQdc+v/4olJpGDb4zRnTub45Oso2PIocS0n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\nREQMRApKREQMxH8Ac2tyk6KpuD0AAAAASUVORK5CYII=\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from pandas.plotting import autocorrelation_plot\n", + "autocorrelation_plot(df['Seasonal First Difference'].dropna())" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Partial Autocorrelation\n", + "\n", + "In general, a partial correlation is a conditional correlation.\n", + "\n", + "It is the correlation between two variables under the assumption that we know and take into account the values of some other set of variables.\n", + "\n", + "For instance, consider a regression context in which y = response variable and x1, x2, and x3 are predictor variables. The partial correlation between y and x3 is the correlation between the variables determined taking into account how both y and x3 are related to x1 and x2.\n", + "\n", + "Formally, this is relationship is defined as:\n", + "\n", + "## $\\frac{\\text{Covariance}(y, x_3|x_1, x_2)}{\\sqrt{\\text{Variance}(y|x_1, x_2)\\text{Variance}(x_3| x_1, x_2)}}$\n", + "\n", + "Check out this [link](http://www.itl.nist.gov/div898/handbook/pmc/section4/pmc4463.htm) for full details on this." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can then plot this relationship:" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "result = plot_pacf(df[\"Seasonal First Difference\"].dropna())" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Interpretation\n", + "\n", + "Typically a sharp drop after lag \"k\" suggests an AR-k model should be used. If there is a gradual decline, it suggests an MA model." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": true + }, + "source": [ + "### Final Thoughts on Autocorrelation and Partial Autocorrelation\n", + "\n", + "* Identification of an AR model is often best done with the PACF.\n", + " * For an AR model, the theoretical PACF “shuts off” past the order of the model. The phrase “shuts off” means that in theory the partial autocorrelations are equal to 0 beyond that point. Put another way, the number of non-zero partial autocorrelations gives the order of the AR model. By the “order of the model” we mean the most extreme lag of x that is used as a predictor.\n", + " \n", + " \n", + "* Identification of an MA model is often best done with the ACF rather than the PACF.\n", + " * For an MA model, the theoretical PACF does not shut off, but instead tapers toward 0 in some manner. A clearer pattern for an MA model is in the ACF. The ACF will have non-zero autocorrelations only at lags involved in the model." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "_____\n", + "### Final ACF and PACF Plots\n", + "\n", + "We've run quite a few plots, so let's just quickly get our \"final\" ACF and PACF plots. These are the ones we will be referencing in the rest of the notebook below.\n", + "_____" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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kSZJKMDhLkiRJJRicJUmSpBIMzpIkSVIJlYJzRJwaEX8bEQ8V/58ySdn+iPhq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\n3alVh258nergLwfWrBN+IY05AxB9PfG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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig = plt.figure(figsize=(12,8))\n", + "ax1 = fig.add_subplot(211)\n", + "fig = sm.graphics.tsa.plot_acf(df['Seasonal First Difference'].iloc[13:], lags=40, ax=ax1)\n", + "ax2 = fig.add_subplot(212)\n", + "fig = sm.graphics.tsa.plot_pacf(df['Seasonal First Difference'].iloc[13:], lags=40, ax=ax2)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Using the Seasonal ARIMA model\n", + "\n", + "Finally we can use our ARIMA model now that we have an understanding of our data!" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# For non-seasonal data\n", + "from statsmodels.tsa.arima_model import ARIMA" + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Help on class ARIMA in module statsmodels.tsa.arima_model:\n", + "\n", + "class ARIMA(ARMA)\n", + " | Autoregressive Integrated Moving Average ARIMA(p,d,q) Model\n", + " | \n", + " | Parameters\n", + " | ----------\n", + " | endog : array-like\n", + " | The endogenous variable.\n", + " | order : iterable\n", + " | The (p,d,q) order of the model for the number of AR parameters,\n", + " | differences, and MA parameters to use.\n", + " | exog : array-like, optional\n", + " | An optional array of exogenous variables. This should *not* include a\n", + " | constant or trend. You can specify this in the `fit` method.\n", + " | dates : array-like of datetime, optional\n", + " | An array-like object of datetime objects. If a pandas object is given\n", + " | for endog or exog, it is assumed to have a DateIndex.\n", + " | freq : str, optional\n", + " | The frequency of the time-series. A Pandas offset or 'B', 'D', 'W',\n", + " | 'M', 'A', or 'Q'. This is optional if dates are given.\n", + " | \n", + " | \n", + " | Notes\n", + " | -----\n", + " | If exogenous variables are given, then the model that is fit is\n", + " | \n", + " | .. math::\n", + " | \n", + " | \\phi(L)(y_t - X_t\\beta) = \\theta(L)\\epsilon_t\n", + " | \n", + " | where :math:`\\phi` and :math:`\\theta` are polynomials in the lag\n", + " | operator, :math:`L`. This is the regression model with ARMA errors,\n", + " | or ARMAX model. This specification is used, whether or not the model\n", + " | is fit using conditional sum of square or maximum-likelihood, using\n", + " | the `method` argument in\n", + " | :meth:`statsmodels.tsa.arima_model.ARIMA.fit`. Therefore, for\n", + " | now, `css` and `mle` refer to estimation methods only. This may\n", + " | change for the case of the `css` model in future versions.\n", + " | \n", + " | Method resolution order:\n", + " | ARIMA\n", + " | ARMA\n", + " | statsmodels.tsa.base.tsa_model.TimeSeriesModel\n", + " | statsmodels.base.model.LikelihoodModel\n", + " | statsmodels.base.model.Model\n", + " | builtins.object\n", + " | \n", + " | Methods defined here:\n", + " | \n", + " | __getnewargs__(self)\n", + " | \n", + " | __init__(self, endog, order, exog=None, dates=None, freq=None, missing='none')\n", + " | Initialize self. See help(type(self)) for accurate signature.\n", + " | \n", + " | fit(self, start_params=None, trend='c', method='css-mle', transparams=True, solver='lbfgs', maxiter=50, full_output=1, disp=5, callback=None, start_ar_lags=None, **kwargs)\n", + " | Fits ARIMA(p,d,q) model by exact maximum likelihood via Kalman filter.\n", + " | \n", + " | Parameters\n", + " | ----------\n", + " | start_params : array-like, optional\n", + " | Starting parameters for ARMA(p,q). If None, the default is given\n", + " | by ARMA._fit_start_params. See there for more information.\n", + " | transparams : bool, optional\n", + " | Whehter or not to transform the parameters to ensure stationarity.\n", + " | Uses the transformation suggested in Jones (1980). If False,\n", + " | no checking for stationarity or invertibility is done.\n", + " | method : str {'css-mle','mle','css'}\n", + " | This is the loglikelihood to maximize. If \"css-mle\", the\n", + " | conditional sum of squares likelihood is maximized and its values\n", + " | are used as starting values for the computation of the exact\n", + " | likelihood via the Kalman filter. If \"mle\", the exact likelihood\n", + " | is maximized via the Kalman Filter. If \"css\" the conditional sum\n", + " | of squares likelihood is maximized. All three methods use\n", + " | `start_params` as starting parameters. See above for more\n", + " | information.\n", + " | trend : str {'c','nc'}\n", + " | Whether to include a constant or not. 'c' includes constant,\n", + " | 'nc' no constant.\n", + " | solver : str or None, optional\n", + " | Solver to be used. The default is 'lbfgs' (limited memory\n", + " | Broyden-Fletcher-Goldfarb-Shanno). Other choices are 'bfgs',\n", + " | 'newton' (Newton-Raphson), 'nm' (Nelder-Mead), 'cg' -\n", + " | (conjugate gradient), 'ncg' (non-conjugate gradient), and\n", + " | 'powell'. By default, the limited memory BFGS uses m=12 to\n", + " | approximate the Hessian, projected gradient tolerance of 1e-8 and\n", + " | factr = 1e2. You can change these by using kwargs.\n", + " | maxiter : int, optional\n", + " | The maximum number of function evaluations. Default is 50.\n", + " | tol : float\n", + " | The convergence tolerance. Default is 1e-08.\n", + " | full_output : bool, optional\n", + " | If True, all output from solver will be available in\n", + " | the Results object's mle_retvals attribute. Output is dependent\n", + " | on the solver. See Notes for more information.\n", + " | disp : int, optional\n", + " | If True, convergence information is printed. For the default\n", + " | l_bfgs_b solver, disp controls the frequency of the output during\n", + " | the iterations. disp < 0 means no output in this case.\n", + " | callback : function, optional\n", + " | Called after each iteration as callback(xk) where xk is the current\n", + " | parameter vector.\n", + " | start_ar_lags : int, optional\n", + " | Parameter for fitting start_params. When fitting start_params,\n", + " | residuals are obtained from an AR fit, then an ARMA(p,q) model is\n", + " | fit via OLS using these residuals. If start_ar_lags is None, fit\n", + " | an AR process according to best BIC. If start_ar_lags is not None,\n", + " | fits an AR process with a lag length equal to start_ar_lags.\n", + " | See ARMA._fit_start_params_hr for more information.\n", + " | kwargs\n", + " | See Notes for keyword arguments that can be passed to fit.\n", + " | \n", + " | Returns\n", + " | -------\n", + " | `statsmodels.tsa.arima.ARIMAResults` class\n", + " | \n", + " | See also\n", + " | --------\n", + " | statsmodels.base.model.LikelihoodModel.fit : for more information\n", + " | on using the solvers.\n", + " | ARIMAResults : results class returned by fit\n", + " | \n", + " | Notes\n", + " | ------\n", + " | If fit by 'mle', it is assumed for the Kalman Filter that the initial\n", + " | unkown state is zero, and that the inital variance is\n", + " | P = dot(inv(identity(m**2)-kron(T,T)),dot(R,R.T).ravel('F')).reshape(r,\n", + " | r, order = 'F')\n", + " | \n", + " | predict(self, params, start=None, end=None, exog=None, typ='linear', dynamic=False)\n", + " | ARIMA model in-sample and out-of-sample prediction\n", + " | \n", + " | Parameters\n", + " | ----------\n", + " | params : array-like\n", + " | The fitted parameters of the model.\n", + " | start : int, str, or datetime\n", + " | Zero-indexed observation number at which to start forecasting, ie.,\n", + " | the first forecast is start. Can also be a date string to\n", + " | parse or a datetime type.\n", + " | end : int, str, or datetime\n", + " | Zero-indexed observation number at which to end forecasting, ie.,\n", + " | the first forecast is start. Can also be a date string to\n", + " | parse or a datetime type. However, if the dates index does not\n", + " | have a fixed frequency, end must be an integer index if you\n", + " | want out of sample prediction.\n", + " | exog : array-like, optional\n", + " | If the model is an ARMAX and out-of-sample forecasting is\n", + " | requested, exog must be given. Note that you'll need to pass\n", + " | `k_ar` additional lags for any exogenous variables. E.g., if you\n", + " | fit an ARMAX(2, q) model and want to predict 5 steps, you need 7\n", + " | observations to do this.\n", + " | dynamic : bool, optional\n", + " | The `dynamic` keyword affects in-sample prediction. If dynamic\n", + " | is False, then the in-sample lagged values are used for\n", + " | prediction. If `dynamic` is True, then in-sample forecasts are\n", + " | used in place of lagged dependent variables. The first forecasted\n", + " | value is `start`.\n", + " | typ : str {'linear', 'levels'}\n", + " | \n", + " | - 'linear' : Linear prediction in terms of the differenced\n", + " | endogenous variables.\n", + " | - 'levels' : Predict the levels of the original endogenous\n", + " | variables.\n", + " | \n", + " | \n", + " | Returns\n", + " | -------\n", + " | predict : array\n", + " | The predicted values.\n", + " | \n", + " | \n", + " | \n", + " | Notes\n", + " | -----\n", + " | Use the results predict method instead.\n", + " | \n", + " | ----------------------------------------------------------------------\n", + " | Static methods defined here:\n", + " | \n", + " | __new__(cls, endog, order, exog=None, dates=None, freq=None, missing='none')\n", + " | Create and return a new object. See help(type) for accurate signature.\n", + " | \n", + " | ----------------------------------------------------------------------\n", + " | Methods inherited from ARMA:\n", + " | \n", + " | geterrors(self, params)\n", + " | Get the errors of the ARMA process.\n", + " | \n", + " | Parameters\n", + " | ----------\n", + " | params : array-like\n", + " | The fitted ARMA parameters\n", + " | order : array-like\n", + " | 3 item iterable, with the number of AR, MA, and exogenous\n", + " | parameters, including the trend\n", + " | \n", + " | hessian(self, params)\n", + " | Compute the Hessian at params,\n", + " | \n", + " | Notes\n", + " | -----\n", + " | This is a numerical approximation.\n", + " | \n", + " | loglike(self, params, set_sigma2=True)\n", + " | Compute the log-likelihood for ARMA(p,q) model\n", + " | \n", + " | Notes\n", + " | -----\n", + " | Likelihood used depends on the method set in fit\n", + " | \n", + " | loglike_css(self, params, set_sigma2=True)\n", + " | Conditional Sum of Squares likelihood function.\n", + " | \n", + " | loglike_kalman(self, params, set_sigma2=True)\n", + " | Compute exact loglikelihood for ARMA(p,q) model by the Kalman Filter.\n", + " | \n", + " | score(self, params)\n", + " | Compute the score function at params.\n", + " | \n", + " | Notes\n", + " | -----\n", + " | This is a numerical approximation.\n", + " | \n", + " | ----------------------------------------------------------------------\n", + " | Data descriptors inherited from statsmodels.tsa.base.tsa_model.TimeSeriesModel:\n", + " | \n", + " | exog_names\n", + " | \n", + " | ----------------------------------------------------------------------\n", + " | Methods inherited from statsmodels.base.model.LikelihoodModel:\n", + " | \n", + " | information(self, params)\n", + " | Fisher information matrix of model\n", + " | \n", + " | Returns -Hessian of loglike evaluated at params.\n", + " | \n", + " | initialize(self)\n", + " | Initialize (possibly re-initialize) a Model instance. For\n", + " | instance, the design matrix of a linear model may change\n", + " | and some things must be recomputed.\n", + " | \n", + " | ----------------------------------------------------------------------\n", + " | Class methods inherited from statsmodels.base.model.Model:\n", + " | \n", + " | from_formula(formula, data, subset=None, drop_cols=None, *args, **kwargs) from builtins.type\n", + " | Create a Model from a formula and dataframe.\n", + " | \n", + " | Parameters\n", + " | ----------\n", + " | formula : str or generic Formula object\n", + " | The formula specifying the model\n", + " | data : array-like\n", + " | The data for the model. See Notes.\n", + " | subset : array-like\n", + " | An array-like object of booleans, integers, or index values that\n", + " | indicate the subset of df to use in the model. Assumes df is a\n", + " | `pandas.DataFrame`\n", + " | drop_cols : array-like\n", + " | Columns to drop from the design matrix. Cannot be used to\n", + " | drop terms involving categoricals.\n", + " | args : extra arguments\n", + " | These are passed to the model\n", + " | kwargs : extra keyword arguments\n", + " | These are passed to the model with one exception. The\n", + " | ``eval_env`` keyword is passed to patsy. It can be either a\n", + " | :class:`patsy:patsy.EvalEnvironment` object or an integer\n", + " | indicating the depth of the namespace to use. For example, the\n", + " | default ``eval_env=0`` uses the calling namespace. If you wish\n", + " | to use a \"clean\" environment set ``eval_env=-1``.\n", + " | \n", + " | Returns\n", + " | -------\n", + " | model : Model instance\n", + " | \n", + " | Notes\n", + " | ------\n", + " | data must define __getitem__ with the keys in the formula terms\n", + " | args and kwargs are passed on to the model instantiation. E.g.,\n", + " | a numpy structured or rec array, a dictionary, or a pandas DataFrame.\n", + " | \n", + " | ----------------------------------------------------------------------\n", + " | Data descriptors inherited from statsmodels.base.model.Model:\n", + " | \n", + " | __dict__\n", + " | dictionary for instance variables (if defined)\n", + " | \n", + " | __weakref__\n", + " | list of weak references to the object (if defined)\n", + " | \n", + " | endog_names\n", + " | Names of endogenous variables\n", + "\n" + ] + } + ], + "source": [ + "# I recommend you glance over this!\n", + "\n", + "# \n", + "help(ARIMA)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### p,d,q parameters\n", + "\n", + "* p: The number of lag observations included in the model.\n", + "* d: The number of times that the raw observations are differenced, also called the degree of differencing.\n", + "* q: The size of the moving average window, also called the order of moving average." + ] + }, + { + "cell_type": "code", + "execution_count": 55, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " Statespace Model Results \n", + "==========================================================================================\n", + "Dep. Variable: Milk in pounds per cow No. Observations: 168\n", + "Model: SARIMAX(0, 1, 0)x(1, 1, 1, 12) Log Likelihood -534.065\n", + "Date: Thu, 13 Jul 2017 AIC 1074.131\n", + "Time: 00:16:10 BIC 1083.503\n", + "Sample: 01-01-1962 HQIC 1077.934\n", + " - 12-01-1975 \n", + "Covariance Type: opg \n", + "==============================================================================\n", + " coef std err z P>|z| [0.025 0.975]\n", + "------------------------------------------------------------------------------\n", + "ar.S.L12 -0.0449 0.106 -0.422 0.673 -0.253 0.163\n", + "ma.S.L12 -0.5860 0.102 -5.761 0.000 -0.785 -0.387\n", + "sigma2 55.5118 5.356 10.365 0.000 45.015 66.009\n", + "===================================================================================\n", + "Ljung-Box (Q): 33.48 Jarque-Bera (JB): 32.04\n", + "Prob(Q): 0.76 Prob(JB): 0.00\n", + "Heteroskedasticity (H): 0.69 Skew: 0.77\n", + "Prob(H) (two-sided): 0.18 Kurtosis: 4.60\n", + "===================================================================================\n", + "\n", + "Warnings:\n", + "[1] Covariance matrix calculated using the outer product of gradients (complex-step).\n" + ] + } + ], + "source": [ + "# We have seasonal data!\n", + "model = sm.tsa.statespace.SARIMAX(df['Milk in pounds per cow'],order=(0,1,0), seasonal_order=(1,1,1,12))\n", + "results = model.fit()\n", + "print(results.summary())" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 41, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "results.resid.plot(kind='kde')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Prediction of Future Values\n", + "\n", + "Firts we can get an idea of how well our model performs by just predicting for values that we actually already know:" + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 43, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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JfWEOTauO7r8FSGXyy/avwsIhMKdO4liphcCqnjv5IGGtAXo47pBlKgcfhlwK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\nBoB3AviMfrPPAHiXfvmdAD6nl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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "df['forecast'] = results.predict(start = 150, end= 168, dynamic= True) \n", + "df[['Milk in pounds per cow','forecast']].plot(figsize=(12,8))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Forecasting\n", + "This requires more time periods, so let's create them with pandas onto our original dataframe!" + ] + }, + { + "cell_type": "code", + "execution_count": 44, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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Milk in pounds per cowMilk First DifferenceMilk Second DifferenceSeasonal DifferenceSeasonal First Differenceforecast
Month
1975-08-01858.0-38.03.0-9.03.0879.668789
1975-09-01817.0-41.0-3.02.011.0832.328247
1975-10-01827.010.051.015.013.0837.721945
1975-11-01797.0-30.0-40.024.09.0802.452364
1975-12-01843.046.076.030.06.0842.499524
\n", + "
" + ], + "text/plain": [ + " Milk in pounds per cow Milk First Difference \\\n", + "Month \n", + "1975-08-01 858.0 -38.0 \n", + "1975-09-01 817.0 -41.0 \n", + "1975-10-01 827.0 10.0 \n", + "1975-11-01 797.0 -30.0 \n", + "1975-12-01 843.0 46.0 \n", + "\n", + " Milk Second Difference Seasonal Difference \\\n", + "Month \n", + "1975-08-01 3.0 -9.0 \n", + "1975-09-01 -3.0 2.0 \n", + "1975-10-01 51.0 15.0 \n", + "1975-11-01 -40.0 24.0 \n", + "1975-12-01 76.0 30.0 \n", + "\n", + " Seasonal First Difference forecast \n", + "Month \n", + "1975-08-01 3.0 879.668789 \n", + "1975-09-01 11.0 832.328247 \n", + "1975-10-01 13.0 837.721945 \n", + "1975-11-01 9.0 802.452364 \n", + "1975-12-01 6.0 842.499524 " + ] + }, + "execution_count": 44, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df.tail()" + ] + }, + { + "cell_type": "code", + "execution_count": 45, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# https://pandas.pydata.org/pandas-docs/stable/timeseries.html\n", + "# Alternatives \n", + "# pd.date_range(df.index[-1],periods=12,freq='M')" + ] + }, + { + "cell_type": "code", + "execution_count": 46, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "from pandas.tseries.offsets import DateOffset" + ] + }, + { + "cell_type": "code", + "execution_count": 47, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "future_dates = [df.index[-1] + DateOffset(months=x) for x in range(0,24) ]" + ] + }, + { + "cell_type": "code", + "execution_count": 48, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[Timestamp('1975-12-01 00:00:00'),\n", + " Timestamp('1976-01-01 00:00:00'),\n", + " Timestamp('1976-02-01 00:00:00'),\n", + " Timestamp('1976-03-01 00:00:00'),\n", + " Timestamp('1976-04-01 00:00:00'),\n", + " Timestamp('1976-05-01 00:00:00'),\n", + " Timestamp('1976-06-01 00:00:00'),\n", + " Timestamp('1976-07-01 00:00:00'),\n", + " Timestamp('1976-08-01 00:00:00'),\n", + " Timestamp('1976-09-01 00:00:00'),\n", + " Timestamp('1976-10-01 00:00:00'),\n", + " Timestamp('1976-11-01 00:00:00'),\n", + " Timestamp('1976-12-01 00:00:00'),\n", + " Timestamp('1977-01-01 00:00:00'),\n", + " Timestamp('1977-02-01 00:00:00'),\n", + " Timestamp('1977-03-01 00:00:00'),\n", + " Timestamp('1977-04-01 00:00:00'),\n", + " Timestamp('1977-05-01 00:00:00'),\n", + " Timestamp('1977-06-01 00:00:00'),\n", + " Timestamp('1977-07-01 00:00:00'),\n", + " Timestamp('1977-08-01 00:00:00'),\n", + " Timestamp('1977-09-01 00:00:00'),\n", + " Timestamp('1977-10-01 00:00:00'),\n", + " Timestamp('1977-11-01 00:00:00')]" + ] + }, + "execution_count": 48, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "future_dates" + ] + }, + { + "cell_type": "code", + "execution_count": 49, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "future_dates_df = pd.DataFrame(index=future_dates[1:],columns=df.columns)" + ] + }, + { + "cell_type": "code", + "execution_count": 50, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "future_df = pd.concat([df,future_dates_df])" + ] + }, + { + "cell_type": "code", + "execution_count": 51, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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Milk in pounds per cowMilk First DifferenceMilk Second DifferenceSeasonal DifferenceSeasonal First Differenceforecast
1962-01-01589.0NaNNaNNaNNaNNaN
1962-02-01561.0-28.0NaNNaNNaNNaN
1962-03-01640.079.0107.0NaNNaNNaN
1962-04-01656.016.0-63.0NaNNaNNaN
1962-05-01727.071.055.0NaNNaNNaN
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" + ], + "text/plain": [ + " Milk in pounds per cow Milk First Difference \\\n", + "1977-07-01 NaN NaN \n", + "1977-08-01 NaN NaN \n", + "1977-09-01 NaN NaN \n", + "1977-10-01 NaN NaN \n", + "1977-11-01 NaN NaN \n", + "\n", + " Milk Second Difference Seasonal Difference \\\n", + "1977-07-01 NaN NaN \n", + "1977-08-01 NaN NaN \n", + "1977-09-01 NaN NaN \n", + "1977-10-01 NaN NaN \n", + "1977-11-01 NaN NaN \n", + "\n", + " Seasonal First Difference forecast \n", + "1977-07-01 NaN NaN \n", + "1977-08-01 NaN NaN \n", + "1977-09-01 NaN NaN \n", + "1977-10-01 NaN NaN \n", + "1977-11-01 NaN NaN " + ] + }, + "execution_count": 52, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "future_df.tail()" + ] + }, + { + "cell_type": "code", + "execution_count": 53, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 53, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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bwJtqrv+BpmkFTdOeBfYAFymKMgKkNE37reE6f6fmPoIgCIIgCILbjO+Bg79z+xTNyach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k7mp1czcTQkBd2e85ntWbjpQOeTMSRjEWxXl3egrQ0cwOCw22FTNnPaTruqJ7GWS2Cv3oWmaXNv\nxHhF3zQB/aPvv+T69c3jIUNAv33YwrvOF8whpllPZcrZBGqdHtJBZKBXLA50ZvL7kSAIgnCXMzVH\npUcjhoXpYHI6HA70aNXeKPo4STDXyvPP8/qfOQXjfevnGmFTsj9WUTIEpNcxjraLNXaMMWwW7HVB\nWxs4gEHU4LAhod3jk+jeONDdnrrQoiav6FufU5noJxdXUmBsMKbygHdAFyYfIgQGNyfBRDj09108\nIiCX9N8BJwiCeCdyBgX08DeQYjpcDjTPaU86RAjorm5Q1/r1t49QziZMB24eBdPd909Atx10F/MO\nX69jHDzC4ZbLvVlI2opwWBs4AP1mMiroc97cJfckA827oBc4SMiz3dMc6CAQYxFs5MShCEcswmbG\nI/j7OIgIRyUrIhZhKGcTC0WvCIIgCOecMQE9Xg9XDCCnO4t6Z54DHcwhQk3T8PXbev/zot+EB/ly\n/wR/S7If4eAOtNdd0ObYi0tiajOfxJatCMeggQPQD6mWMnEcNCS0JS6gPYhwZHkX9Pz3826ti4jA\nxirsgubyatrsgn5w0sZmIQlhRnVixRTQ/jvQEYHhXCFJBwgJgiB85Ew972t0laE8IAAkYxHEI0Lg\n634cnoGeeogwHUen1/c8pzvK/eMOduvdhfPPAJBP+R/haMsK0rZbOPxxoDs9FQBcmfIGdAf6sClB\nUvpIRBf7PXkDx/dc2xh6+2omYTjQ3kY4gMXGVHZqXaxlE54tDdrl8moaf/CKvge1Ve3Mzfh/7Mk1\nVDs9JKLBeBKfee9F1z7eCIIgiPmcOQE96uwyxvSDeQGOk1iZ1FVtxWy2aPewnvfvG+I37vD88/wB\nFU4iGkEqHvE1ctKS+rZd05JR4+a1A90xxKm1DcYJmwVdkO7WurhUWixec9QabuDglLMJHDZlM6ft\nRWaXT1tbmzg6ch/x6PgAzm69Y1b1hYnLpRRO2j3U2j08OOngux+b3Uf//islvH+B8SGv+G++82pg\nfzZBEMQ7kTMV4ah3e1MnssPiQM/LQPPWEL+vl4udS6XpB6UmUfCxt1pWVMh91XbTQSYRRTwq+OBA\n95GMRVzLo26aVXaLxzh2jNeONkdwB7rjYQY6FY8iK0bNLuhqW8bHfuVP8I//w2vj11nrYiNEBwg5\nl40blTf2GjhoSDMPEBIEQRDvPM6MgFZVDU1p8kBJPoDJ6WnUOwpiETb1UW8hgFwxoLv3s65rGvlU\n3LdDhFz02c1AM8awmo7jyOsWDpcnsjdtdEHvGzdEo7lYLqBbku6S2z2QOQ++RqhpGv7+569jq9rB\nS/erQ6/RNA27tW4oHWh+kPb5W4cAZlfYEQRBEO88zoyAbskKNG3y4bxigN3KozQMl3yaO1kMoNkC\n4Acwp1/XNPx837aMaITdDDQArPgw593p9V2NRtiZ89431gZ5IwZnNRNHr6+Z9XFe1a7xLugvvLSN\nf//yDvLJGG4dNIdeU+8oaMv9UDVwcC4YVXbP3dQF9KSlRIIgCOKdy5kR0IN+5WkRjpA40FNmvDlB\nRTimzYvPo+Cju89dUyfNEaV0wnMHuiP3XT3QJcYiKKXj2F5izpvHJ8oj7Rbckb53rHcce9UasZYV\ncfuwhZ///HV8+6Ui/tvvuoqTdg8nlvf9Tl2/IQijAy3GItjMJ/HiPd0192soiCAIgjgdnEEBPS6u\nCqk4au0eNE3z+7LG4E7vNKyHCP2k3hmvAFyEfNK/CEfLjHDYF32ljPdz3m5HOIDlu6APml0UUzHE\nRyI5vC6OC2hxwVaPZankRFTbPfRVDb/yg8+YYy63DwcudBg7oK1cXk1BUTVEBBbaayQIgiCC4QwJ\n6OkT2YVUDHJfNccjgqTe6c1cCxNjESRjkSGnzg8aXWVqtd4seITDj5uTtgu53dVMAkctydPr7XhQ\nQbiRF5eLcNQlVLLjos/qQKfikZndxk7gzSH/4195EpdKaVxZ1QX0rf2W+ZowrhBa4QcJ13MiopEz\n86WSIAiCcIEzU2M3y4G2Dn7YPYDmFo2uMlHYWAliTKXRVXB5dfmmgUIqBkXV0JL7yHj8vm05PEQI\nACvpOLo9/WbKq4+FjtzHqlGZ5xabhSSeu3kITdMWyqnvN6SJwxrcgd6td81ebC/49LPnUMkm8Imn\n1gHoh/DiEQG3RhxoxjBz4S9IuICm+AZBEAQxypmxVQYDJZMjHID/sYhJ1LuzHWggmDnvedGSaQze\nt95f7yAD7SDC4cOYituHCAFdxLXkvtkjPo+DhjRRmBaSMUQEBk3z7gAhoA8FffLahin2oxEBl0qp\nEQe6g3ImgVhI3d3LRhMHNXAQBEEQo4TzO5cNZh0iLCSDyRVPQj+sN1uoFtMx3w8RzjvcOI2VlD/r\nfoC1hcNZhAMADl0aU/mtr9/DC28fD71NP0Torru9YUQidmrzYxyapuGgIaGcGxfQgsDMm4iUy9c4\nj6vlzFgGOszZ4oeMJzLUwEEQBEGMcuYE9MQhlXQwzRajKEYOe17WuOBjtzIA9I0ObTsZaN6gsLvA\nbLNT2pLzCAdfIzx2SfD/8h+8hs9+9c7Q23QH2t1PrWW6oGudHuS+OjUqxG8ivHSgJ3GlnMa9ozZ6\nfX3qPKwd0JxLpTS+9+kNfPSJtaAvhSAIgggZZ0hA9xAV2MT55EGzRbACelZO24qegfbvWpvSYtc1\nibXcYGbaa7gD7aQibiXt3px3t6dHKg7qw79XW1YcVe1NYtM4aLe1wBoh74CelIEGgFXj7U7aTOxw\ntZyBompmA8huSFcIObGIgF/9a9+Gd18oBH0pBEEQRMg4QwJajyBMOmBVSIYjA2265FNmvDnFVBy1\nTg+q6k/tnjkvbsOBLqXjiEWYLw50S1KQjEUQcdAcUUobEQ4XHGjetcxX/wB9EbPbU11v4ShnE4gK\nDDsLOND8uqYdzuMHHN2OmczjSlnPFN/ab6LR7aEhKaF2oAmCIAhiGmdIQE8/BBePCkjHI4GPqRwY\nC3iFOQK6kIpD1QYHI71mUWd8EoLAUMmK2PPFge47dk2T8QjS8YgrmW0unPcbg1q8rqLHTNzugY4I\nDOsLVtnx65omoLkz7dWIyjSulHkXdAt79XB3QBMEQRDELM6QgJ59CC6IZotRrm/VAABPbuZmvm5Q\nu+ePgK53pndoL8J6XjRHMbykLSmuVM+VMgkcuxDh2DOc3rbcN2MwHdkbAQ3oMY5F1ginzXhz+Dqh\n3wI6n4xhNZPArf2mZUQlvBEOgiAIgpjGO0ZAF9P+TU5P46UHVaxmEnNdN7/nvAfREnvidD0vmo6i\nl7TkvivZ4lIm7sqctzW6wUUrH+txO8IB6OMkizjQBw0JqXhkai/3qimg/e9Ev1JO4/ZhK/QrhARB\nEAQxizMjoOvzJrKT8cBbOF66X8W7L+TnDmH4feixITl0oHMidutdz9cIW5KCtAuuaSkddyUDvWc5\nPMhvIDo9Dx3oQhK7tS76c7Lx00ZUOKsBOdCAfpDw1kHTPHRamVC1RxAEQRBh58wI6PkRjlighwgb\n3R5uH7bwrvPzT/SbDnQr/BloQBfQ7SVGPuzSkvtIuRHhSCdw1HQe4dhv6Et6gO76AoMIh5OmkGls\nFJJQVA2HlmvfrY3fuOzXuzPX/VazxiHCQAR0GtV2Dze261jNxJGI+n8NBEEQBOGUMySgezNbJIqp\nYB3oV7Zq0DTgXefzc1/rd4RjkIG2H+EA4HmMoy0pyLhQvVbKxHHckh075gcNCVeNg3H79eEIhxfi\n9JwxprJlxDi+fGMP7/8nX8F/en1/7LpmzcVv5JKIRdhMl9or+Pvr+VuH1MBBEARBnFrOhIDWNH0I\nZJ4D7Wc13Cgv3dcPEC7iQGfFKATmbwY6ERVsu4HmmIrHBwnbrmWgE1BUDfWOM8d8r97FldU0xJhg\n3jx0e9450NYxlcOmhJ/9Ny8DAP787snQ6w7mRDjyqRi++NMfwafffc71a5wHr7KrdxWs5+gAIUEQ\nBHE6ORMCuiX3oWqzHdRCKg7Nx2q4UV5+UMXFlZQ55DELQWAopOL+tXAsMC8+i3WfxlSaLmagAedz\n3vsNCWs5EWs5cewQoRcH9HhjxXa1g5/9N6+gISmoZBO4sVM3X9OR+2hIylx3+Wo5g3jU/0//88UU\n4hH9z6UDhARBEMRp5UwIaD4EMksE+l0NN8rLD2oLxTc4embbLwe6h5zN+AYwOAjm9ZhKW1bcyUAb\nQyJOuqAlpY9qu4dKNoFKNmE2cnQ8dKBzYhSZRBSfff4u/vC1PfydTzyG/+KRVby6PRDQ8zqggyYi\nMFxeTQEARTgIgiCIU8sZEdDzD8EFOed90JCwVe3gmQXiG5xiKu7bIcL6nAOY80hEIyil454KaFlR\n0etrU6vZloGvETrpguaZ57WciEpWNH/e4XPjHmSgGWPYyIvYqnbwgSsl/M0PPYSnNvM4aEhDoy7A\n9A7oMMBz0ORAEwRBEKeVMyKg5zvQhVRwc94vP6gCAJ65sIyAjvmYgZ5dAbgIaznR0whH2xCmblSv\n8SlrJ1V2XKiWcwlUcgnz56YD7VHDxaVSCtlEFP/8B5+BIDA8uaGP8twwXOh5M95hgOegyYEmCIIg\nTiv+Lyl4QH0BB9rvZgsrLz2oQWDAtXOzFwitFFNxvGIsF3pNo6s4dgM3PF4j5Et/aReyxcW08wjH\nfn0QlahkRTQlBS1JGbRweBDhAIBf+KtPodvr45xxoJCvWt7YqeO7HqvgIOQRDgB4+lwBEYHhodV0\n0JdCEARBELY4Iw60saQ3U0AHl4F++UEVj1SySx0sK2cTOGrKvrSGNLo9ZBMOHWgX1wiVvor/9Y9v\nmU8WAMvhPBdq7GIRAflkDEdOIhyNQYRjzciA7zckdHp9JKICIsLssRy7XFhJ4ZG1rPnzfDKG88Xk\nwIFuSIgKzLxhDCOfeGoNf/Z3v5tmvAmCIIhTyxkR0PMjHFkxBsaAms8OtKZpeOl+Fc9cWPwAIaA7\niIqq4diH6503QrMI6zkRRy0ZktJ3fD3fuHOCf/rF1/HlG3vm21rcgXYhAw04n/Peb3QRFRhWUnGz\nc3m/3kVH7vs+UPLUZm5IQK9mEhA8EvBuoGe5STwTBEEQp5czIaBrCwyBRASGfDLmuwP94KSDk3Zv\nof5nK/wQ2H7d+WLeLHp9FW257zgDzfOsblzvG7u6GNw2BkOAgQPtRoQDAFYdrhHu1fWuZUFgZgvJ\nXkPSu6o9im9M48mNPN4+aqElKdhvSDSPTRAEQRAecyYE9Mv3a9jMi3Nzp0GsEb7EDxAuKaB5j++B\nC5PTs2jy+EvSuQMNuFNl98ZeEwCwbclU8wy0G4cIAcOBdniIkOeM16wOdK8PMQAHWtOA13frc2e8\nCYIgCIJwzqkX0Kqq4au3j/DBh1fB2OzH1vlkzHSr/eLlBzXEIwIeW8/Of7EFLoL2Pe5WHlQAuuNA\nu3GQcLID7W6EYyXtMMJR76JsCOdcMop4VMBBQ0JH7rsm8hfFPEi4Xcdhc/YKIUEQBEEQzjn1AvrG\nTh21Tg8ferg097V+VsNx3txr4JG15VffzFxtw1sHut6dH39ZBC6g9xwKaE3T8CZ3oC0CuiUZEQ4X\nDhECwGomgZO2jF5ftfXr9RVCXagyxlDJJrDHM9A+Rzg28iKKqRheelDDUUs2hT1BEARBEN5w6gX0\n87cOAQAfvLo697V+jpNwGl3FHHFZhmQ8gmwiioNTIqCziShS8YjjCMd2rWtOdu9UB7+X6UC7lIFe\nz4vQNHs3KLKi4rglmzc5AMw573avj6QHM96zYIzhyc0c/vStA2hauCvsCIIgCOIscOoF9HM3j3C1\nnMbaAstreR/nsTktSVmqvs5KOTeYiPaKQQWgswgHYwzrLoyp8PjGhx5eRUNSTIHflNztV+aO+W6t\nM+eV4/Bc+prlsB53oLtyH8mY/59WT27ksHcKRlQIgiAI4ixwqgW0rKj4xp1jfOjh+e4zoDvQLbkP\nWbH32N4ObbmPtM1MbDmT8NyBdktAA7oodepAv7Grxze+67EKAJgudNtwpd2qZ2qLMU0AACAASURB\nVNtwkNk2R1QsAnrgQNu/YXLCU5uDmkTKQBMEQRCEt5xqAf3Sgyracn+h+AYwGFOpdvxzoduyYvvg\nW8UQZV7ScCnCAcAVB/rNvQY286J56JLnoFtyHymXDhACMHuI7Vwv/zexRjjK2QQaXQUnrZ7vPdDA\n4CAhMKhAJAiCIAjCG061gH7u5iEYA95/ZWWh1xeMdbaqj13QTcmBgM4msF+XoGnerRHWO7oDnXFB\nQPM1Qifria/vNvDoetacqt4yBHRbVmw7+ZPIiXpm2y0HmscmmpLi+yFCALiymkbCOKhazpADTRAE\nQRBecqoF9PO3jnBtM28K43nww3x+Cei+qqHbU23XmlWyCXR6fbMD2Qsa3R6SsQhiEecfCht5EYqq\n2a6HU/oqbu038dh6FuVsAlGBYcfIKDvJkk+CMaZHTmw60AIDSunhCAfH7xo7AIhGBDy+nkUxFVu6\n8YUgCIIgiOU4td9p27KCF++d4IML1NdxiobQ9qvKzmlzBHc4vYxxNLqK4xEVDheRezZz0HeOWpD7\nKh5byyIiMKzlRGwbGeiW1EfGxQgHoAv+HRuHCPfqXZSzCUQseWyrGy0G4EADwKefPYdPXtsI5M8m\nCIIgiHcS/p92colv3jlBr68tnH8GrA60XwJab45I2ewuLmd0QXrQkHC1nHHtuqw0pJ7jERWO9WDe\ntXP5Oa8ehx8gfHRNzz+fKyTNDHRbVlBML/akYVHWc0l81ahBXAZ9hXA4Z2z9eRAONAD8jQ89FMif\nSxAEQRDvNE6tA/3crUPEIgzfcbm48K8pmA60PxEOHr2w65z65UC7cYAQcD7n/cZeAwIDHq7oNwsb\nBRHbtcEhQrc6oDkbeRF7DQn9JTPb+3VprCqumIohFtEd6SAy0ARBEARB+MepFdBfvXWEZy8Wl8rF\npuMRxCLMtwx02+gutpvd9WPOu95xz4EuZfRYg901wjd267i8mjYjEJuFJHZr+qFEPQPtrjBdz4vo\nqxoOm8vdoOw3umNNF/oaof62IFo4CIIgCILwj1MpoPuqhutbtaXcZ0AXOcVUHMctb6vhOC0zA21P\nUOWT+oEwL7ugG10FOZcc6IjAsJZN2Gq2AIA395p43KivA4DNvIheXxe4LQdtJtOw0wWt9FUcteSJ\nYyX8iQE50ARBEARxtjmVAropKVA1YCW9fF1XJZfwvFuZww8R2u0vZoyhnPH2eutdxTUHGtBdXTsH\n8zpyH3eOWmb+GdAdaECvsmvLfaRtZsmnYWeN8LApQ9MwcfmSi+oghlQIgiAIgvCPUyugASBjQ1Ct\nZUVz8thr+Py0nevklLPerhE2uj3XHGhAF7384N8y3NxvQtMw7EAbAvrOUQuKqrkuTPmYyjIONG8Y\nmehAmxGOU/lpRRAEQRDEgpzK7/QtU0Av75xWcqKnmWIrbeM6nQi/SjaB/YY31yspfUiK6tohQsBo\nzqgtP6byxl4DAIYdaEPgvrWnt3O4OaQCwOxMXqYL2lwhzI0L6DUzwkEONEEQBEGcZU6lgG50jWyx\nHQc6l8BRS4asqG5f1hgto8bOSXuEl5ET/n50M8JxrpiErKhLj6m8sVtHIirgUiltvi2XjCIdj+Ct\nfUNAu5yBZowZXdB2HOjxCMf5YgrAoC6RIAiCIIizyam0yrgDbcc55dnVg6ZkzkV7helAO4hwVLIi\nqu0eJKWPRNRdB5YLaLeGVICBa7xV7aA8IeYwjZv7TVwtZ4bGSRhj2CwkccsjAQ3o1XvLONBb1Q5i\nETYxwvG979rARl40oycEQRAEQZxNTqUDzTPQdgQVf8xudy1vGZqygnhUcDSTzYWaFznoRlev88va\niMJM41xRF4/L5qB3at2JwnOjkMSdoxYAbwZKNvIiduqLX+v94zbOFZIQLEKfE4sIeN+VxZcxCYIg\nCII4nZxqAW1noIQ/evcjB92W+o5zu2UPBXS9Y9/Jn4bZnHGynIDeq3fNmxsr5woieJzaEwc6n8Re\nTVo4s/3gpGNGNQiCIAiCeGdyOgV0176A5hEOP5o4WrLiuDnCFPxeOtAuZqDzyRiyiSi2lnCgJaWP\nk3bPXDK0wpsyAGdZ8mls5EXIfRXHC867Pzjp4MIKRTQIgiAI4p3MqRTQLQcRjlI6rq/l+eVAO+wu\ndnPOW+mrOLKs7nmRgQZ0F3oZAb1v3Mys5ccFtDXW4XYPNGDtgp7/8dCR+zhsSuRAEwRBEMQ7nFMp\noJuSgoTNbLEg6AfA/HKgncYOSuk4GAMOXBD8v/XCPXz4n/2RWYtX98CBBvQc9DIZ6F3j7zZpnGSz\nMHibFwMlfI1wkevdqrYBAOeL5EATBEEQxDuZUyug7cQ3OJWc6Fm3spWWpDiOHUQjAkppd6rsXt2q\noy338Tsv3AcwcKCdvC8nsVkQl3Kg+dOASRGOzbxPDvQCNyj3jVw3CWiCIAiCeGdzegW0g4Nva9mE\nPxEOue9Kc4Rba4S8zeK3vn4PSl9FvdtDJhEdqo5zg81CEtV2z4zazIPHJyYJaC5wGQOSMfcF9Go6\ngajAFuqCfnCsO9AXKMJBEARBEO9oTqWAdursruX8mfN2I8IB8DVC59d777iNSjaB3XoXf/jaHhpd\nxdUGDg7v196pLeZC79W7+P/bu/fYyM7zvuPfdzhDDmc4vN92uVySK++urK0tr6yL1dgSYAWOc2ns\noKgsx3GM2oBzqd0ESGo0SBvUMQK0AdomSC+u4zZwgdZ2oqCx7FwExYUrJ3FsS17tWlrvStYud3nZ\nG+/kDGeGM/P2j3NmONwluXPIc2bOiL8PQHA4nCHfecTVefjweZ+3LRrZthc7Hmuhv6ONZGsUY/xN\n9MFp6RmqcRb09OI6rdEI/R21z7cWERGRN56mTKBXs/usQHe2sby+QXaj6OOq7pT2YRMh+HOcd3aj\nyLXlLE89fJTDXXH+57eusJrdoNPn/mfYTKCnaxxld2Mlx3BXfMcE+XB3PJAZ0GXOaYR3X+v04jpH\ndpgBLSIiIgdHUybQ6fz+eqDLm9VuBlyF9qMHGpxJHHNreYo1zirezpTbfnDPQJIPvWOMv3t9npdn\nVoKpQFcOU6kt6b++kmVom6Oxy8b6kvQkWn1Z23aGu7ZWoPOFEq/fWrvjcVOLGY70qn1DRETkoGvK\nBHot608CfSPAjYSFYolcoeTL5IjBVJxiybKQrm1W8XYm550EeqwvyQceGqW1JcLM0nogCfRgKk40\nYipTK+7mxkp22xF2Zb/5E2/mP/3sab+WdwenAp3FWucXlE89fZYf/71vsnTbbGjnEBVtIBQRETno\nmjOBzhX31Vu8eZhKcAl0xm0P8aOFw4/TCK+4GwjH+xL0d7TxE28ZBvwfYQfQEjEMd8VrqkBba7mx\nkmV4m1MIy4a74hwfSvm5xNu+fju5QomlzAZfOzfLn700S75Y4qWppcpj0rkCC+m8EmgRERFp1gR6\nY1+V0/KR0UFuJNzPYS+3G0yVD1PZe8J/ZT5DZzxKt9sK8eFHxwD/D1EpO9zdXtNx3ivrBbIbpW1n\nQNdLeRb0S1NL/Ob/eZlThzuJGDhzdTOBnq6MsFMLh4iIyEHXdAl0oVgiu1HaV29xV3uM1miEmwFW\noNM5pwLtx+Y3P47zvrKQYbw/Wfn4gaM9fPRHJnjvqUP7Xt92Rmo8jXC3Q1TqpTwq7188fZZcocgf\nfPA0J4ZSnJmqTqDLI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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "future_df['forecast'] = results.predict(start = 168, end = 188, dynamic= True) \n", + "future_df[['Milk in pounds per cow', 'forecast']].plot(figsize=(12, 8)) " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Not bad! Pretty cool in fact! I hope this helped you see the potential for ARIMA models, unfortunately a lot of financial data won't follow this sort of behaviour, in fact it will often follow something indicating brownian motion, what is that you ask? Well head on over to the next video section and we'll find out!\n", + "\n", + "# Great Job!" + ] + } + ], + "metadata": { + "anaconda-cloud": {}, + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.6.1" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} diff --git a/08-Analyse-Time-Series/1-Introduction-à-Statsmodels.ipynb b/08-Analyse-Time-Series/1-Introduction-à-Statsmodels.ipynb new file mode 100644 index 0000000..373bfa1 --- /dev/null +++ b/08-Analyse-Time-Series/1-Introduction-à-Statsmodels.ipynb @@ -0,0 +1,636 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Introduction à Statsmodels\n", + "\n", + "Statsmodels est un module Python qui fournit des classes et des fonctions pour l'estimation de nombreux modèles statistiques différents, ainsi que pour la réalisation de tests statistiques et l'exploration de données statistiques. Une liste exhaustive de statistiques sur les résultats est disponible pour chaque estimateur. Les résultats sont testés par rapport aux progiciels statistiques existants pour s'assurer qu'ils sont corrects. Le paquet est publié sous la licence Open Source Modified BSD (3-clause). La documentation en ligne est hébergée sur statsmodels.org.\n", + "\n", + "La raison pour laquelle nous l'aborderons dans ce cours est qu'il pourrait vous être très utile plus tard lorsque vous discuterez des données de séries temporelles (typiques de l'analyse financière quantitative).\n", + "\n", + "Prenons un exemple très simple d'utilisation de statsmodels !" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import pandas as pd\n", + "import matplotlib.pyplot as plt\n", + "%matplotlib inline" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "import statsmodels.api as sm" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "df = sm.datasets.macrodata.load_pandas().data" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "::\n", + " Number of Observations - 203\n", + "\n", + " Number of Variables - 14\n", + "\n", + " Variable name definitions::\n", + "\n", + " year - 1959q1 - 2009q3\n", + " quarter - 1-4\n", + " realgdp - Real gross domestic product (Bil. of chained 2005 US$,\n", + " seasonally adjusted annual rate)\n", + " realcons - Real personal consumption expenditures (Bil. of chained\n", + " 2005 US$, seasonally adjusted annual rate)\n", + " realinv - Real gross private domestic investment (Bil. of chained\n", + " 2005 US$, seasonally adjusted annual rate)\n", + " realgovt - Real federal consumption expenditures & gross investment\n", + " (Bil. of chained 2005 US$, seasonally adjusted annual rate)\n", + " realdpi - Real private disposable income (Bil. of chained 2005\n", + " US$, seasonally adjusted annual rate)\n", + " cpi - End of the quarter consumer price index for all urban\n", + " consumers: all items (1982-84 = 100, seasonally adjusted).\n", + " m1 - End of the quarter M1 nominal money stock (Seasonally\n", + " adjusted)\n", + " tbilrate - Quarterly monthly average of the monthly 3-month\n", + " treasury bill: secondary market rate\n", + " unemp - Seasonally adjusted unemployment rate (%)\n", + " pop - End of the quarter total population: all ages incl. armed\n", + " forces over seas\n", + " infl - Inflation rate (ln(cpi_{t}/cpi_{t-1}) * 400)\n", + " realint - Real interest rate (tbilrate - infl)\n", + "\n" + ] + } + ], + "source": [ + "print(sm.datasets.macrodata.NOTE)" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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" + ], + "text/plain": [ + " year quarter realgdp realcons realinv realgovt realdpi cpi \\\n", + "0 1959.0 1.0 2710.349 1707.4 286.898 470.045 1886.9 28.98 \n", + "1 1959.0 2.0 2778.801 1733.7 310.859 481.301 1919.7 29.15 \n", + "2 1959.0 3.0 2775.488 1751.8 289.226 491.260 1916.4 29.35 \n", + "3 1959.0 4.0 2785.204 1753.7 299.356 484.052 1931.3 29.37 \n", + "4 1960.0 1.0 2847.699 1770.5 331.722 462.199 1955.5 29.54 \n", + "\n", + " m1 tbilrate unemp pop infl realint \n", + "0 139.7 2.82 5.8 177.146 0.00 0.00 \n", + "1 141.7 3.08 5.1 177.830 2.34 0.74 \n", + "2 140.5 3.82 5.3 178.657 2.74 1.09 \n", + "3 140.0 4.33 5.6 179.386 0.27 4.06 \n", + "4 139.6 3.50 5.2 180.007 2.31 1.19 " + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "index = pd.Index(sm.tsa.datetools.dates_from_range('1959Q1', '2009Q3'))" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "df.index = index" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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yearquarterrealgdprealconsrealinvrealgovtrealdpicpim1tbilrateunemppopinflrealint
1959-03-311959.01.02710.3491707.4286.898470.0451886.928.98139.72.825.8177.1460.000.00
1959-06-301959.02.02778.8011733.7310.859481.3011919.729.15141.73.085.1177.8302.340.74
1959-09-301959.03.02775.4881751.8289.226491.2601916.429.35140.53.825.3178.6572.741.09
1959-12-311959.04.02785.2041753.7299.356484.0521931.329.37140.04.335.6179.3860.274.06
1960-03-311960.01.02847.6991770.5331.722462.1991955.529.54139.63.505.2180.0072.311.19
\n", + "
" + ], + "text/plain": [ + " year quarter realgdp realcons realinv realgovt realdpi \\\n", + "1959-03-31 1959.0 1.0 2710.349 1707.4 286.898 470.045 1886.9 \n", + "1959-06-30 1959.0 2.0 2778.801 1733.7 310.859 481.301 1919.7 \n", + "1959-09-30 1959.0 3.0 2775.488 1751.8 289.226 491.260 1916.4 \n", + "1959-12-31 1959.0 4.0 2785.204 1753.7 299.356 484.052 1931.3 \n", + "1960-03-31 1960.0 1.0 2847.699 1770.5 331.722 462.199 1955.5 \n", + "\n", + " cpi m1 tbilrate unemp pop infl realint \n", + "1959-03-31 28.98 139.7 2.82 5.8 177.146 0.00 0.00 \n", + "1959-06-30 29.15 141.7 3.08 5.1 177.830 2.34 0.74 \n", + "1959-09-30 29.35 140.5 3.82 5.3 178.657 2.74 1.09 \n", + "1959-12-31 29.37 140.0 4.33 5.6 179.386 0.27 4.06 \n", + "1960-03-31 29.54 139.6 3.50 5.2 180.007 2.31 1.19 " + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0, 0.5, 'REAL GDP')" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "df['realgdp'].plot()\n", + "plt.ylabel(\"REAL GDP\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Utiliser Statsmodels pour obtenir la tendance\n", + "Le filtre Hodrick-Prescott sépare une série temporelle y_t en une composante de tendance τ_t et en une composante de cycle ζt\n", + "\n", + "$y_t = \\tau_t + \\zeta_t$\n", + "\n", + "Les composantes sont déterminées en minimisant la fonction de perte quadratique suivante:\n", + "\n", + "$\\min_{\\\\{ \\tau_{t}\\\\} }\\sum_{t}^{T}\\zeta_{t}^{2}+\\lambda\\sum_{t=1}^{T}\\left[\\left(\\tau_{t}-\\tau_{t-1}\\right)-\\left(\\tau_{t-1}-\\tau_{t-2}\\right)\\right]^{2}$" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [], + "source": [ + "# Décomposition du tuple\n", + "gdp_cycle, gdp_trend = sm.tsa.filters.hpfilter(df.realgdp)" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "1959-03-31 39.511915\n", + "1959-06-30 80.088532\n", + "1959-09-30 48.875455\n", + "1959-12-31 30.591933\n", + "1960-03-31 64.882667\n", + " ... \n", + "2008-09-30 102.018455\n", + "2008-12-31 -107.269472\n", + "2009-03-31 -349.047706\n", + "2009-06-30 -397.557073\n", + "2009-09-30 -333.115243\n", + "Name: realgdp, Length: 203, dtype: float64" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "gdp_cycle" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "pandas.core.series.Series" + ] + }, + "execution_count": 12, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "type(gdp_cycle)" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [], + "source": [ + "df[\"trend\"] = gdp_trend" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 14, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", 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Thousands of Passengers
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1949-01-01112.0
1949-02-01118.0
1949-03-01132.0
1949-04-01129.0
1949-05-01121.0
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" + ], + "text/plain": [ + " Thousands of Passengers\n", + "Month \n", + "1949-01-01 112.0\n", + "1949-02-01 118.0\n", + "1949-03-01 132.0\n", + "1949-04-01 129.0\n", + "1949-05-01 121.0" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "airline.head()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# SMA\n", + "## Moyenne Mobile Simple\n", + "\n", + "Nous avons déjà montré comment créer une moyenne mobile simple, pour une révision rapide:" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [], + "source": [ + "airline['6-month-SMA']=airline['Thousands of Passengers'].rolling(window=6).mean()\n", + "airline['12-month-SMA']=airline['Thousands of Passengers'].rolling(window=12).mean()" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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1949-02-01118.0NaNNaN
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" + ], + "text/plain": [ + " Thousands of Passengers 6-month-SMA 12-month-SMA\n", + "Month \n", + "1949-01-01 112.0 NaN NaN\n", + "1949-02-01 118.0 NaN NaN\n", + "1949-03-01 132.0 NaN NaN\n", + "1949-04-01 129.0 NaN NaN\n", + "1949-05-01 121.0 NaN NaN" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "airline.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "airline.plot()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# EWMA\n", + "## Moyennes Mobiles Pondérées Exponentiellement \n", + "\n", + "Nous venons de montrer comment calculer la moyenne mobile simple SMA à partir d'une période, mais la SMA de base a quelques \"faiblesses\".\n", + "* Des périodes plus petites entraîneront plus de bruit, plutôt que de signal.\n", + "* Elle sera toujours décalée par la taille de la période\n", + "* Elle n'atteindra jamais le sommet ou la vallée complète des données en raison du calcul de la moyenne.\n", + "* Ne vous informe pas vraiment sur les comportements futurs possibles, tout ce qu'elle fait vraiment c'est de décrire les tendances dans vos données.\n", + "* Des valeurs historiques extrêmes peuvent fausser votre SMA de manière significative.\n", + "\n", + "Pour aider à résoudre certains de ces problèmes, nous pouvons utiliser une moyenne mobile pondérée exponentielle (EWMA)." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "EWMA nous permettra de réduire l'effet de décalage de la SMA et d'accorder plus de poids aux valeurs qui se sont produites plus récemment (en appliquant plus de poids aux valeurs plus récentes, d'où le nom). La quantité de poids appliquée aux valeurs les plus récentes dépendra des paramètres réels utilisés dans l'EWMA et du nombre de périodes correspondant à une taille de fenêtre.\n", + "[Tous les détails sur les mathématiques qui se cachent derrière cela peuvent être trouvés ici](http://pandas.pydata.org/pandas-docs/stable/computation.html#exponentially-weighted-windows)\n", + "Voici la version abrégée de l'explication de EWMA.\n", + "\n", + "La formule de EWMA est la suivante :" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "$ y_t = \\frac{\\sum\\limits_{i=0}^t w_i x_{t-i}}{\\sum\\limits_{i=0}^t w_i} $" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Où x_t est la valeur d'entrée, w_i est le poids appliqué (notez comment il peut passer de i=0 à t), et y_t est la sortie.\n", + "\n", + "Maintenant la question est, comment définir le terme de poids w_i ?\n", + "\n", + "Cela dépend du paramètre d'ajustement que vous fournissez à la méthode .ewm().\n", + "\n", + "Lorsque l'ajustement est True (par défaut), les moyennes pondérées sont calculées à l'aide de poids :\n", + "\n", + "### $y_t = \\frac{x_t + (1 - \\alpha)x_{t-1} + (1 - \\alpha)^2 x_{t-2} + ...\n", + "+ (1 - \\alpha)^t x_{0}}{1 + (1 - \\alpha) + (1 - \\alpha)^2 + ...\n", + "+ (1 - \\alpha)^t}$" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Lorsque adjust=False est spécifié, les moyennes mobiles sont calculées comme suit :\n", + "\n", + "### $\\begin{split}y_0 &= x_0 \\\\\n", + "y_t &= (1 - \\alpha) y_{t-1} + \\alpha x_t,\\end{split}$\n", + "\n", + "ce qui équivaut à utiliser ces valeurs de poids :\n", + "\n", + " \\begin{split}w_i = \\begin{cases}\n", + " \\alpha (1 - \\alpha)^i & \\text{si } i < t \\\\\n", + " (1 - \\alpha)^i & \\text{si } i = t.\n", + "\\end{cases}\\end{split}" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Quand adjust=True nous avons y0=x0 et à partir de la formule ci-dessus nous avons yt=αxt+(1-α)yt-1, donc il y a une hypothèse que x0 n'est pas une valeur ordinaire mais plutôt un moment pondéré exponentiellement de la série infinie jusque-là.\n", + "\n", + "Il faut avoir 0<α≤1, et bien que depuis la version 0.18.0 il soit possible de passer α directement, il est souvent plus facile de penser à la portée (span), au centre de masse (com) ou à la demi-vie (half-life) d'un moment pondéré exponetiellement :" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\\begin{split}\\alpha =\n", + " \\begin{cases}\n", + " \\frac{2}{s + 1}, & \\text{pour span}\\ s \\geq 1\\\\\n", + " \\frac{1}{1 + c}, & \\text{pour com}\\ c \\geq 0\\\\\n", + " 1 - \\exp^{\\frac{\\log 0.5}{h}}, & \\text{pour halflife}\\ h > 0\n", + " \\end{cases}\\end{split}" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "* span correspond à ce que l'on appelle communément une \"moyenne mobile pondérée exponentiellement au jour N\".\n", + "* com correspond a une interprétation plus physique et peut être considéré en termes de portée: c=(s-1)/2\n", + "* halflife est la période de temps pendant laquelle le poids exponentiel est réduit de moitié.\n", + "* alpha spécifie directement le facteur de lissage." + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [], + "source": [ + "airline['EWMA12'] = airline['Thousands of Passengers'].ewm(span=12).mean()" + ] + }, + { + "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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" + ], + "text/plain": [ + " Thousands of Passengers\n", + "Month \n", + "1949-01 112.0\n", + "1949-02 118.0\n", + "1949-03 132.0\n", + "1949-04 129.0\n", + "1949-05 121.0" + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "airline.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 4, + "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": [ + "airline.plot()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## ETS\n", + "\n", + "Nous pouvons utiliser un modèle additif lorsqu'il semble que la tendance est plus linéaire et que les composantes saisonnières et tendancielles semblent être constantes dans le temps (par exemple: chaque année, nous ajoutons 10 000 passagers). Un modèle multiplicatif est plus approprié lorsque nous augmentons (ou diminuons) à un rythme non linéaire (par exemple: chaque année, nous doublons le nombre de passagers).\n", + "\n", + "D'après ce graphique, il semble que la tendance de ces premiers jours soit légèrement à la hausse à un taux plus élevé que le taux linéaire (bien qu'il soit un peu difficile de le dire à partir de cette seule courbe)." + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [], + "source": [ + "# Obtenir les données dans un format correct\n", + "airline.dropna(inplace=True)\n", + "airline.index = pd.to_datetime(airline.index)" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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Thousands of Passengers
Month
1949-01-01112.0
1949-02-01118.0
1949-03-01132.0
1949-04-01129.0
1949-05-01121.0
\n", + "
" + ], + "text/plain": [ + " Thousands of Passengers\n", + "Month \n", + "1949-01-01 112.0\n", + "1949-02-01 118.0\n", + "1949-03-01 132.0\n", + "1949-04-01 129.0\n", + "1949-05-01 121.0" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "airline.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", 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" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "from statsmodels.tsa.seasonal import seasonal_decompose\n", + "result = seasonal_decompose(airline['Thousands of Passengers'], model='multiplicative')\n", + "result.plot()" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [], + "source": [ + "# Vous risquez de voir accidentellement deux fois le même graphique ici, ne vous inquiétez pas,\n", + "# Juste un petit bug avec la fonction statsmodels." + ] + } + ], + "metadata": { + "anaconda-cloud": {}, + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.7.5" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/08-Analyse-Time-Series/4-ARIMA-et-ARIMA-Saisonnier.ipynb b/08-Analyse-Time-Series/4-ARIMA-et-ARIMA-Saisonnier.ipynb new file mode 100644 index 0000000..b610678 --- /dev/null +++ b/08-Analyse-Time-Series/4-ARIMA-et-ARIMA-Saisonnier.ipynb @@ -0,0 +1,2452 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Attention ! C'est un sujet compliqué ! Rappelez-vous que c'est un notebook facultatif à parcourir et que pour le comprendre pleinement, vous devez lire les liens supplémentaires et regarder la vidéo explicative entièrement. Ce notebook et les vidéos liées n'ont pas pour but de donner un aperçu complet d'ARIMA, mais plutôt de vous montrer à quoi il peut servir, afin que vous puissiez comprendre plus tard pourquoi il peut être ou non un bon choix pour les données financières sur les actions.\n", + "____\n", + "\n", + "\n", + "# ARIMA et ARIMA Saisonnier\n", + "\n", + "\n", + "## Moyennes Mobiles Intégrées Auto-Régressives\n", + "\n", + "Le processus général pour les modèles ARIMA est le suivant:\n", + "* Visualiser les données de la série temporelle\n", + "* Rendre les données de la série temporelle stationnaires\n", + "* Tracer les graphiques de corrélation et d'auto-corrélation\n", + "* Construire le modèle ARIMA\n", + "* Utiliser le modèle pour faire des prédictions\n", + "\n", + "Passons par ces étapes !" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Étape 1: Obtenir les données (et les formatter)\n", + "\n", + "Nous utiliserons quelques données sur la production laitière mensuelle.\n", + "\n", + "C'est déjà enregistré en csv pour vous, chargeons le:" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import pandas as pd\n", + "import statsmodels.api as sm\n", + "\n", + "import matplotlib.pyplot as plt\n", + "%matplotlib inline" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "df = pd.read_csv('monthly-milk-production-pounds-p.csv')" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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" + ], + "text/plain": [ + " Month \\\n", + "164 1975-09 \n", + "165 1975-10 \n", + "166 1975-11 \n", + "167 1975-12 \n", + "168 Monthly milk production: pounds per cow. Jan 6... \n", + "\n", + " Monthly milk production: pounds per cow. Jan 62 ? Dec 75 \n", + "164 817.0 \n", + "165 827.0 \n", + "166 797.0 \n", + "167 843.0 \n", + "168 NaN " + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df.tail()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Nettoyage**\n", + "\n", + "Nettoyons un peu tout ça !" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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MonthMilk in pounds per cow
01962-01589.0
11962-02561.0
21962-03640.0
31962-04656.0
41962-05727.0
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" + ], + "text/plain": [ + " Month Milk in pounds per cow\n", + "0 1962-01 589.0\n", + "1 1962-02 561.0\n", + "2 1962-03 640.0\n", + "3 1962-04 656.0\n", + "4 1962-05 727.0" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df.columns = ['Month','Milk in pounds per cow']\n", + "df.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "# Dernière valeur bizarre en bas causant des problèmes\n", + "df.drop(168,axis=0,inplace=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "df['Month'] = pd.to_datetime(df['Month'])" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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MonthMilk in pounds per cow
01962-01-01589.0
11962-02-01561.0
21962-03-01640.0
31962-04-01656.0
41962-05-01727.0
\n", + "
" + ], + "text/plain": [ + " Month Milk in pounds per cow\n", + "0 1962-01-01 589.0\n", + "1 1962-02-01 561.0\n", + "2 1962-03-01 640.0\n", + "3 1962-04-01 656.0\n", + "4 1962-05-01 727.0" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [], + "source": [ + "df.set_index('Month',inplace=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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Milk in pounds per cow
Month
1962-01-01589.0
1962-02-01561.0
1962-03-01640.0
1962-04-01656.0
1962-05-01727.0
\n", + "
" + ], + "text/plain": [ + " Milk in pounds per cow\n", + "Month \n", + "1962-01-01 589.0\n", + "1962-02-01 561.0\n", + "1962-03-01 640.0\n", + "1962-04-01 656.0\n", + "1962-05-01 727.0" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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countmeanstdmin25%50%75%max
Milk in pounds per cow168.0754.708333102.204524553.0677.75761.0824.5969.0
\n", + "
" + ], + "text/plain": [ + " count mean std min 25% 50% \\\n", + "Milk in pounds per cow 168.0 754.708333 102.204524 553.0 677.75 761.0 \n", + "\n", + " 75% max \n", + "Milk in pounds per cow 824.5 969.0 " + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df.describe().transpose()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Étape 2: Visualiser les données\n", + "\n", + "Visualisons ces données avec quelques méthodes." + ] + }, + { + "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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "timeseries.rolling(12).mean().plot(label='12 Month Rolling Mean')\n", + "timeseries.rolling(12).std().plot(label='12 Month Rolling Std')\n", + "timeseries.plot()\n", + "plt.legend()" + ] + }, + { + "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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "timeseries.rolling(12).mean().plot(label='12 Month Rolling Mean')\n", + "timeseries.plot()\n", + "plt.legend()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Décomposition\n", + "\n", + "La décomposition ETS nous permet de voir les différentes parties !" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "from statsmodels.tsa.seasonal import seasonal_decompose\n", + "decomposition = seasonal_decompose(df['Milk in pounds per cow'], freq=12) \n", + "fig = plt.figure() \n", + "fig = decomposition.plot() \n", + "fig.set_size_inches(15, 8)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Test pour la Stationnarité\n", + "\n", + "Nous pouvons utiliser le test de [Dickey-Fuller](https://en.wikipedia.org/wiki/Augmented_Dickey%E2%80%93Fuller_test) augmenté ([unit root test](https://en.wikipedia.org/wiki/Unit_root_test)).\n", + "\n", + "En statistique et en économétrie, un test de Dickey-Fuller augmenté (ADF) permet de tester l'hypothèse nulle de la présence d'une racine unitaire dans un échantillon de série temporelle. L'hypothèse de rechange est différente selon la version du test utilisée, mais il s'agit habituellement de la stationnarité ou de la tendance-stationnarité.\n", + "\n", + "Fondamentalement, nous essayons d'accepter l'hypothèse nulle **H0** (que la série temporelle a une racine unitaire, indiquant qu'elle est non stationnaire) ou de rejeter **H0** et d'opter pour l'hypothèse alternative (que la série temporelle n'a pas de racine unitaire et est stationnaire).\n", + "\n", + "Nous finissons par décider cela en fonction du rendement de la valeur p.\n", + "\n", + "* Une petite valeur p (typiquement ≤ 0,05) indique une forte évidence contre l'hypothèse nulle, donc vous rejetez l'hypothèse nulle.\n", + "\n", + "* Une valeur p élevée (> 0,05) indique une faible preuve contre l'hypothèse nulle, donc vous ne pouvez pas rejeter l'hypothèse nulle.\n", + "\n", + "Faisons le test du Dickey-Fuller Augmenté sur nos données :" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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Milk in pounds per cow
Month
1962-01-01589.0
1962-02-01561.0
1962-03-01640.0
1962-04-01656.0
1962-05-01727.0
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" + ], + "text/plain": [ + " Milk in pounds per cow\n", + "Month \n", + "1962-01-01 589.0\n", + "1962-02-01 561.0\n", + "1962-03-01 640.0\n", + "1962-04-01 656.0\n", + "1962-05-01 727.0" + ] + }, + "execution_count": 17, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [], + "source": [ + "from statsmodels.tsa.stattools import adfuller" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [], + "source": [ + "result = adfuller(df['Milk in pounds per cow'])" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Augmented Dickey-Fuller test (DAF):\n", + "ADF Test Statistic : -1.3038115874221294\n", + "p-value : 0.6274267086030316\n", + "#Lags Used : 13\n", + "Number of Observations Used : 154\n", + "Faible preuve contre l'hypothèse nulle, la série temporelle a une racine unitaire, ce qui indique qu'elle est non stationnaire \n" + ] + } + ], + "source": [ + "print('Augmented Dickey-Fuller test (DAF):')\n", + "labels = ['ADF Test Statistic','p-value','#Lags Used','Number of Observations Used']\n", + "\n", + "for value,label in zip(result,labels):\n", + " print(label+' : '+str(value) )\n", + " \n", + "if result[1] <= 0.05:\n", + " print(\"Preuves solides contre l'hypothèse nulle, rejette l'hypothèse nulle. Les données n'ont pas de racine unitaire et sont stationnaires\")\n", + "else:\n", + " print(\"Faible preuve contre l'hypothèse nulle, la série temporelle a une racine unitaire, ce qui indique qu'elle est non stationnaire \")" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [], + "source": [ + "# Mémoriser dans une fonction pour une utilisation ultérieure !\n", + "def adf_check(time_series):\n", + " \"\"\"\n", + " Passe une série temporelle, retourne le rapport ADF\n", + " \"\"\"\n", + " result = adfuller(time_series)\n", + " print('Augmented Dickey-Fuller test (DAF):')\n", + " labels = ['ADF Test Statistic','p-value','#Lags Used','Number of Observations Used']\n", + "\n", + " for value,label in zip(result,labels):\n", + " print(label+' : '+str(value) )\n", + " \n", + " if result[1] <= 0.05:\n", + " print(\"Preuves solides contre l'hypothèse nulle, rejeter l'hypothèse nulle. Les données n'ont pas de racine unitaire et sont stationnaires\")\n", + " else:\n", + " print(\"Faible preuve contre l'hypothèse nulle, la série temporelle a une racine unitaire, ce qui indique qu'elle est non stationnaire \")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "___________\n", + "\n", + "## Remarque Importante!\n", + "\n", + "**Nous avons maintenant réalisé que nos données sont saisonnières (c'est aussi assez évident d'après le tracé lui-même). Cela signifie que nous devons utiliser ARIMA saisonnier sur notre modèle. Si nos données n'étaient pas saisonnières, cela signifie que nous pourrions utiliser seulement ARIMA sur ce modèle. Nous en tiendrons compte lorsque nous différencierons nos données ! En général, les données financières sur les actions ne sont pas saisonnières, mais c'est en quelque sorte le but de cette section, de vous montrer des méthodes courantes, qui ne fonctionneront pas bien sur les données financières sur les actions !**\n", + "\n", + "_____" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Différenciation\n", + "\n", + "La première différence d'une série temporelle est la série de changements d'une période à l'autre. On peut le faire facilement avec pandas. Vous pouvez continuer à prendre la deuxième différence, la troisième différence, et ainsi de suite jusqu'à ce que vos données soient stationnaires." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Première différence**" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [], + "source": [ + "df['Milk First Difference'] = df['Milk in pounds per cow'] - df['Milk in pounds per cow'].shift(1)" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Augmented Dickey-Fuller test (DAF):\n", + "ADF Test Statistic : -3.0549955586530704\n", + "p-value : 0.030068004001785647\n", + "#Lags Used : 14\n", + "Number of Observations Used : 152\n", + "Preuves solides contre l'hypothèse nulle, rejeter l'hypothèse nulle. Les données n'ont pas de racine unitaire et sont stationnaires\n" + ] + } + ], + "source": [ + "adf_check(df['Milk First Difference'].dropna())" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 24, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "df['Milk First Difference'].plot()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Seconde différence**" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [], + "source": [ + "# Il sera parfois nécessaire de faire une deuxième différence \n", + "# C'est juste pour faire le show, on n'avait pas besoin de faire une seconde différence dans notre cas\n", + "df['Milk Second Difference'] = df['Milk First Difference'] - df['Milk First Difference'].shift(1)" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Augmented Dickey-Fuller test (DAF):\n", + "ADF Test Statistic : -14.327873645603301\n", + "p-value : 1.1126989332084581e-26\n", + "#Lags Used : 11\n", + "Number of Observations Used : 154\n", + "Preuves solides contre l'hypothèse nulle, rejeter l'hypothèse nulle. Les données n'ont pas de racine unitaire et sont stationnaires\n" + ] + } + ], + "source": [ + "adf_check(df['Milk Second Difference'].dropna())" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 27, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "df['Seasonal Difference'] = df['Milk in pounds per cow'] - df['Milk in pounds per cow'].shift(12)\n", + "df['Seasonal Difference'].plot()" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Augmented Dickey-Fuller test (DAF):\n", + "ADF Test Statistic : -2.335419314359398\n", + "p-value : 0.1607988052771135\n", + "#Lags Used : 12\n", + "Number of Observations Used : 143\n", + "Faible preuve contre l'hypothèse nulle, la série temporelle a une racine unitaire, ce qui indique qu'elle est non stationnaire \n" + ] + } + ], + "source": [ + "# Différence Saisonnière non suffisante !\n", + "adf_check(df['Seasonal Difference'].dropna())" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Première différence saisoniière**" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 30, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# You can also do seasonal first difference\n", + "df['Seasonal First Difference'] = df['Milk First Difference'] - df['Milk First Difference'].shift(12)\n", + "df['Seasonal First Difference'].plot()" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Augmented Dickey-Fuller test (DAF):\n", + "ADF Test Statistic : -5.038002274921984\n", + "p-value : 1.8654234318788342e-05\n", + "#Lags Used : 11\n", + "Number of Observations Used : 143\n", + "Preuves solides contre l'hypothèse nulle, rejeter l'hypothèse nulle. Les données n'ont pas de racine unitaire et sont stationnaires\n" + ] + } + ], + "source": [ + "adf_check(df['Seasonal First Difference'].dropna())" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Graphiques d'Autocorrélation et d'Autocorrélation Partielle\n", + "\n", + "Un tracé d'autocorrélation (aussi connu sous le nom de [Corrélogramme](https://en.wikipedia.org/wiki/Correlogram) ) montre la corrélation de la série avec elle-même, décalée de x unités de temps. L'axe des y est donc la corrélation et l'axe des x est le nombre d'unités de temps de retard.\n", + "\n", + "Imaginez donc de prendre votre série temporelle de longueur T, de la copier, et d'effacer la première observation de la copie #1 et la dernière observation de la copie #2. Vous avez maintenant deux séries de longueur T-1 pour lesquelles vous calculez un coefficient de corrélation. C'est la valeur de l'axe vertical à x=1 dans vos tracés. Il représente la corrélation de la série décalée d'une unité de temps. Vous continuez et faites cela pour tous les décalages possibles x et cela définit le tracé.\n", + "\n", + "Vous exécuterez ces tracés sur vos données différentielles/stationnaires. Il y a beaucoup d'informations intéressantes pour identifier et interpréter ACF (Auto-Correlation Function) et PACF (Partial Auto-Correlation Function) [ici](http://people.duke.edu/~rnau/arimrule.htm) and [ici](https://people.duke.edu/~rnau/411arim3.htm).\n", + "\n", + "### Interprétation de l'autocorrélation\n", + "\n", + "L'interprétation réelle et son rapport avec les modèles ARIMA peuvent devenir un peu compliqués, mais il existe quelques méthodes de base communes que nous pouvons utiliser pour le modèle ARIMA. Notre principale priorité ici est d'essayer de déterminer si nous utiliserons les composantes AR ou MA pour le modèle ARIMA (ou les deux !) ainsi que le nombre de décalages que nous devrions utiliser. En général, vous utiliserez soit AR (Auto-Regressive) soit MA (Moving average), l'utilisation des deux est moins courante.\n", + "\n", + "* Si le graphique d'autocorrélation montre une autocorrélation positive au premier retard (retard-1), alors il suggère d'utiliser les termes AR en relation avec le retard\n", + "\n", + "* Si le graphique d'autocorrélation montre une autocorrélation négative au premier retard, il suggère alors d'utiliser les termes MA." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "_____\n", + "### Remarque Importante! \n", + "\n", + "Ici, nous montrerons le fonctionnement de l'ACF et du PACF sur de multiples ensembles de données différentielles qui ont été rendus stationnaires de différentes façons. En général, il suffit de choisir un seul ensemble de données stationnaires et de continuer jusqu'au bout.\n", + "\n", + "La raison pour laquelle nous en utilisons deux ici est de vous montrer les deux types de comportement typiques que vous observeriez en utilisant l'ACF.\n", + "_____" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": {}, + "outputs": [], + "source": [ + "from statsmodels.graphics.tsaplots import plot_acf,plot_pacf" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# Dupliquer les graphiques\n", + "# Regarde: https://stackoverflow.com/questions/21788593/statsmodels-duplicate-charts\n", + "# https://github.com/statsmodels/statsmodels/issues/1265\n", + "fig_first = plot_acf(df[\"Milk First Difference\"].dropna())" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig_seasonal_first = plot_acf(df[\"Seasonal First Difference\"].dropna())" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Pandas a également intégré cette fonctionnalité, mais uniquement pour l'ACF, et non pour le PACF. Je recommande donc l'utilisation de statsmodels, car ACF et PACF sont plus au cœur de sa fonctionnalité que de celle de pandas." + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 35, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "from pandas.plotting import autocorrelation_plot\n", + "autocorrelation_plot(df['Seasonal First Difference'].dropna())" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Autocorrelation Partielle\n", + "\n", + "En général, une corrélation partielle est une corrélation conditionnelle.\n", + "\n", + "C'est la corrélation entre deux variables sous l'hypothèse que nous connaissons et prenons en compte les valeurs d'un autre ensemble de variables.\n", + "\n", + "Par exemple, considérons un contexte de régression dans lequel y = une variable réponse et x1, x2 et x3 sont des variables prédicteurs. La corrélation partielle entre y et x3 est la corrélation entre les variables déterminées en tenant compte de la façon dont y et x3 sont liés à x1 et x2.\n", + "\n", + "Formellement, cette relation est définie comme suit\n", + "\n", + "## $\\frac{\\text{Covariance}(y, x_3|x_1, x_2)}{\\sqrt{\\text{Variance}(y|x_1, x_2)\\text{Variance}(x_3| x_1, x_2)}}$\n", + "\n", + "Regarde ce [lien](http://www.itl.nist.gov/div898/handbook/pmc/section4/pmc4463.htm) pour avoir tous les détails." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Nous pouvons alors tracer cette relation:" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "result = plot_pacf(df[\"Seasonal First Difference\"].dropna())" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Interprétation\n", + "\n", + "En général, une chute ou baisse brutale après le décalage \"k\" suggère d'utiliser un modèle AR-k (Auto-regressive). S'il y a une baisse graduelle, cela suggère un modèle MA (Moving Average)." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": true + }, + "source": [ + "### Réflexions finales sur l'Autocorrélation et l'Autocorrélation Partielle\n", + "\n", + "* L'identification d'un modèle AR est souvent mieux faite avec le PACF.\n", + " * Pour un modèle de AR, le PACF théorique \"s'arrête\" au-delà de l'ordre du modèle. L'expression \"s'arrête\" signifie qu'en théorie, les autocorrélations partielles sont égales à 0 au-delà de ce point. Autrement dit, le nombre d'autocorrélations partielles non nulles donne l'ordre du modèle AR. Par \"ordre du modèle\", nous entendons le retard le plus extrême de x qui est utilisé comme prédicteur.\n", + " \n", + " \n", + "* L'identification d'un modèle MA est souvent mieux faite avec l'ACF plutôt qu'avec le PACF.\n", + " * Pour un modèle MA, le PACF théorique ne s'arrête pas, mais se rétrécit plutôt vers 0 d'une manière ou d'une autre. Un modèle plus clair pour un modèle MA se trouve dans le PACF. L'ACF aura des autocorrélations non nulles seulement aux retards impliqués dans le modèle." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "_____\n", + "### Graphiques définitifs de ACF et PACF\n", + "\n", + "Nous avons exploité un certain nombre de graphiques, alors obtenons rapidement nos graphiques \"finaux\" de l'ACF et du PACF. Ce sont ceux que nous allons référencer dans le reste du notebook ci-dessous.\n", + "_____" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig = plt.figure(figsize=(12,8))\n", + "ax1 = fig.add_subplot(211)\n", + "fig = sm.graphics.tsa.plot_acf(df['Seasonal First Difference'].iloc[13:], lags=40, ax=ax1)\n", + "ax2 = fig.add_subplot(212)\n", + "fig = sm.graphics.tsa.plot_pacf(df['Seasonal First Difference'].iloc[13:], lags=40, ax=ax2)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## En utilisant le modèle ARIMA Saisonnier\n", + "\n", + "Enfin, nous pouvons utiliser notre modèle ARIMA maintenant que nous avons une bonne compréhension de nos données !" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": {}, + "outputs": [], + "source": [ + "# Pour des données non sasonnières\n", + "from statsmodels.tsa.arima_model import ARIMA" + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Help on class ARIMA in module statsmodels.tsa.arima_model:\n", + "\n", + "class ARIMA(ARMA)\n", + " | ARIMA(endog, order, exog=None, dates=None, freq=None, missing='none')\n", + " | \n", + " | Autoregressive Integrated Moving Average ARIMA(p,d,q) Model\n", + " | \n", + " | Parameters\n", + " | ----------\n", + " | endog : array-like\n", + " | The endogenous variable.\n", + " | order : iterable\n", + " | The (p,d,q) order of the model for the number of AR parameters,\n", + " | differences, and MA parameters to use.\n", + " | exog : array-like, optional\n", + " | An optional array of exogenous variables. This should *not* include a\n", + " | constant or trend. You can specify this in the `fit` method.\n", + " | dates : array-like of datetime, optional\n", + " | An array-like object of datetime objects. If a pandas object is given\n", + " | for endog or exog, it is assumed to have a DateIndex.\n", + " | freq : str, optional\n", + " | The frequency of the time-series. A Pandas offset or 'B', 'D', 'W',\n", + " | 'M', 'A', or 'Q'. This is optional if dates are given.\n", + " | \n", + " | \n", + " | Notes\n", + " | -----\n", + " | If exogenous variables are given, then the model that is fit is\n", + " | \n", + " | .. math::\n", + " | \n", + " | \\phi(L)(y_t - X_t\\beta) = \\theta(L)\\epsilon_t\n", + " | \n", + " | where :math:`\\phi` and :math:`\\theta` are polynomials in the lag\n", + " | operator, :math:`L`. This is the regression model with ARMA errors,\n", + " | or ARMAX model. This specification is used, whether or not the model\n", + " | is fit using conditional sum of square or maximum-likelihood, using\n", + " | the `method` argument in\n", + " | :meth:`statsmodels.tsa.arima_model.ARIMA.fit`. Therefore, for\n", + " | now, `css` and `mle` refer to estimation methods only. This may\n", + " | change for the case of the `css` model in future versions.\n", + " | \n", + " | Method resolution order:\n", + " | ARIMA\n", + " | ARMA\n", + " | statsmodels.tsa.base.tsa_model.TimeSeriesModel\n", + " | statsmodels.base.model.LikelihoodModel\n", + " | statsmodels.base.model.Model\n", + " | builtins.object\n", + " | \n", + " | Methods defined here:\n", + " | \n", + " | __getnewargs__(self)\n", + " | \n", + " | __init__(self, endog, order, exog=None, dates=None, freq=None, missing='none')\n", + " | Initialize self. See help(type(self)) for accurate signature.\n", + " | \n", + " | fit(self, start_params=None, trend='c', method='css-mle', transparams=True, solver='lbfgs', maxiter=500, full_output=1, disp=5, callback=None, start_ar_lags=None, **kwargs)\n", + " | Fits ARIMA(p,d,q) model by exact maximum likelihood via Kalman filter.\n", + " | \n", + " | Parameters\n", + " | ----------\n", + " | start_params : array-like, optional\n", + " | Starting parameters for ARMA(p,q). If None, the default is given\n", + " | by ARMA._fit_start_params. See there for more information.\n", + " | transparams : bool, optional\n", + " | Whehter or not to transform the parameters to ensure stationarity.\n", + " | Uses the transformation suggested in Jones (1980). If False,\n", + " | no checking for stationarity or invertibility is done.\n", + " | method : str {'css-mle','mle','css'}\n", + " | This is the loglikelihood to maximize. If \"css-mle\", the\n", + " | conditional sum of squares likelihood is maximized and its values\n", + " | are used as starting values for the computation of the exact\n", + " | likelihood via the Kalman filter. If \"mle\", the exact likelihood\n", + " | is maximized via the Kalman Filter. If \"css\" the conditional sum\n", + " | of squares likelihood is maximized. All three methods use\n", + " | `start_params` as starting parameters. See above for more\n", + " | information.\n", + " | trend : str {'c','nc'}\n", + " | Whether to include a constant or not. 'c' includes constant,\n", + " | 'nc' no constant.\n", + " | solver : str or None, optional\n", + " | Solver to be used. The default is 'lbfgs' (limited memory\n", + " | Broyden-Fletcher-Goldfarb-Shanno). Other choices are 'bfgs',\n", + " | 'newton' (Newton-Raphson), 'nm' (Nelder-Mead), 'cg' -\n", + " | (conjugate gradient), 'ncg' (non-conjugate gradient), and\n", + " | 'powell'. By default, the limited memory BFGS uses m=12 to\n", + " | approximate the Hessian, projected gradient tolerance of 1e-8 and\n", + " | factr = 1e2. You can change these by using kwargs.\n", + " | maxiter : int, optional\n", + " | The maximum number of function evaluations. Default is 500.\n", + " | tol : float\n", + " | The convergence tolerance. Default is 1e-08.\n", + " | full_output : bool, optional\n", + " | If True, all output from solver will be available in\n", + " | the Results object's mle_retvals attribute. Output is dependent\n", + " | on the solver. See Notes for more information.\n", + " | disp : int, optional\n", + " | If True, convergence information is printed. For the default\n", + " | l_bfgs_b solver, disp controls the frequency of the output during\n", + " | the iterations. disp < 0 means no output in this case.\n", + " | callback : function, optional\n", + " | Called after each iteration as callback(xk) where xk is the current\n", + " | parameter vector.\n", + " | start_ar_lags : int, optional\n", + " | Parameter for fitting start_params. When fitting start_params,\n", + " | residuals are obtained from an AR fit, then an ARMA(p,q) model is\n", + " | fit via OLS using these residuals. If start_ar_lags is None, fit\n", + " | an AR process according to best BIC. If start_ar_lags is not None,\n", + " | fits an AR process with a lag length equal to start_ar_lags.\n", + " | See ARMA._fit_start_params_hr for more information.\n", + " | kwargs\n", + " | See Notes for keyword arguments that can be passed to fit.\n", + " | \n", + " | Returns\n", + " | -------\n", + " | `statsmodels.tsa.arima.ARIMAResults` class\n", + " | \n", + " | See Also\n", + " | --------\n", + " | statsmodels.base.model.LikelihoodModel.fit : for more information\n", + " | on using the solvers.\n", + " | ARIMAResults : results class returned by fit\n", + " | \n", + " | Notes\n", + " | -----\n", + " | If fit by 'mle', it is assumed for the Kalman Filter that the initial\n", + " | unknown state is zero, and that the initial variance is\n", + " | P = dot(inv(identity(m**2)-kron(T,T)),dot(R,R.T).ravel('F')).reshape(r,\n", + " | r, order = 'F')\n", + " | \n", + " | predict(self, params, start=None, end=None, exog=None, typ='linear', dynamic=False)\n", + " | ARIMA model in-sample and out-of-sample prediction\n", + " | \n", + " | Parameters\n", + " | ----------\n", + " | params : array-like\n", + " | The fitted parameters of the model.\n", + " | start : int, str, or datetime\n", + " | Zero-indexed observation number at which to start forecasting, ie.,\n", + " | the first forecast is start. Can also be a date string to\n", + " | parse or a datetime type.\n", + " | end : int, str, or datetime\n", + " | Zero-indexed observation number at which to end forecasting, ie.,\n", + " | the first forecast is start. Can also be a date string to\n", + " | parse or a datetime type. However, if the dates index does not\n", + " | have a fixed frequency, end must be an integer index if you\n", + " | want out of sample prediction.\n", + " | exog : array-like, optional\n", + " | If the model is an ARMAX and out-of-sample forecasting is\n", + " | requested, exog must be given. Note that you'll need to pass\n", + " | `k_ar` additional lags for any exogenous variables. E.g., if you\n", + " | fit an ARMAX(2, q) model and want to predict 5 steps, you need 7\n", + " | observations to do this.\n", + " | dynamic : bool, optional\n", + " | The `dynamic` keyword affects in-sample prediction. If dynamic\n", + " | is False, then the in-sample lagged values are used for\n", + " | prediction. If `dynamic` is True, then in-sample forecasts are\n", + " | used in place of lagged dependent variables. The first forecasted\n", + " | value is `start`.\n", + " | typ : str {'linear', 'levels'}\n", + " | \n", + " | - 'linear' : Linear prediction in terms of the differenced\n", + " | endogenous variables.\n", + " | - 'levels' : Predict the levels of the original endogenous\n", + " | variables.\n", + " | \n", + " | \n", + " | Returns\n", + " | -------\n", + " | predict : array\n", + " | The predicted values.\n", + " | \n", + " | \n", + " | \n", + " | Notes\n", + " | -----\n", + " | Use the results predict method instead.\n", + " | \n", + " | ----------------------------------------------------------------------\n", + " | Static methods defined here:\n", + " | \n", + " | __new__(cls, endog, order, exog=None, dates=None, freq=None, missing='none')\n", + " | Create and return a new object. See help(type) for accurate signature.\n", + " | \n", + " | ----------------------------------------------------------------------\n", + " | Methods inherited from ARMA:\n", + " | \n", + " | geterrors(self, params)\n", + " | Get the errors of the ARMA process.\n", + " | \n", + " | Parameters\n", + " | ----------\n", + " | params : array-like\n", + " | The fitted ARMA parameters\n", + " | order : array-like\n", + " | 3 item iterable, with the number of AR, MA, and exogenous\n", + " | parameters, including the trend\n", + " | \n", + " | hessian(self, params)\n", + " | Compute the Hessian at params,\n", + " | \n", + " | Notes\n", + " | -----\n", + " | This is a numerical approximation.\n", + " | \n", + " | loglike(self, params, set_sigma2=True)\n", + " | Compute the log-likelihood for ARMA(p,q) model\n", + " | \n", + " | Notes\n", + " | -----\n", + " | Likelihood used depends on the method set in fit\n", + " | \n", + " | loglike_css(self, params, set_sigma2=True)\n", + " | Conditional Sum of Squares likelihood function.\n", + " | \n", + " | loglike_kalman(self, params, set_sigma2=True)\n", + " | Compute exact loglikelihood for ARMA(p,q) model by the Kalman Filter.\n", + " | \n", + " | score(self, params)\n", + " | Compute the score function at params.\n", + " | \n", + " | Notes\n", + " | -----\n", + " | This is a numerical approximation.\n", + " | \n", + " | ----------------------------------------------------------------------\n", + " | Class methods inherited from ARMA:\n", + " | \n", + " | from_formula(formula, data, subset=None, drop_cols=None, *args, **kwargs) from builtins.type\n", + " | Create a Model from a formula and dataframe.\n", + " | \n", + " | Parameters\n", + " | ----------\n", + " | formula : str or generic Formula object\n", + " | The formula specifying the model\n", + " | data : array-like\n", + " | The data for the model. See Notes.\n", + " | subset : array-like\n", + " | An array-like object of booleans, integers, or index values that\n", + " | indicate the subset of df to use in the model. Assumes df is a\n", + " | `pandas.DataFrame`\n", + " | drop_cols : array-like\n", + " | Columns to drop from the design matrix. Cannot be used to\n", + " | drop terms involving categoricals.\n", + " | args : extra arguments\n", + " | These are passed to the model\n", + " | kwargs : extra keyword arguments\n", + " | These are passed to the model with one exception. The\n", + " | ``eval_env`` keyword is passed to patsy. It can be either a\n", + " | :class:`patsy:patsy.EvalEnvironment` object or an integer\n", + " | indicating the depth of the namespace to use. For example, the\n", + " | default ``eval_env=0`` uses the calling namespace. If you wish\n", + " | to use a \"clean\" environment set ``eval_env=-1``.\n", + " | \n", + " | Returns\n", + " | -------\n", + " | model : Model instance\n", + " | \n", + " | Notes\n", + " | -----\n", + " | data must define __getitem__ with the keys in the formula terms\n", + " | args and kwargs are passed on to the model instantiation. E.g.,\n", + " | a numpy structured or rec array, a dictionary, or a pandas DataFrame.\n", + " | \n", + " | ----------------------------------------------------------------------\n", + " | Data descriptors inherited from statsmodels.tsa.base.tsa_model.TimeSeriesModel:\n", + " | \n", + " | exog_names\n", + " | \n", + " | ----------------------------------------------------------------------\n", + " | Methods inherited from statsmodels.base.model.LikelihoodModel:\n", + " | \n", + " | information(self, params)\n", + " | Fisher information matrix of model\n", + " | \n", + " | Returns -Hessian of loglike evaluated at params.\n", + " | \n", + " | initialize(self)\n", + " | Initialize (possibly re-initialize) a Model instance. For\n", + " | instance, the design matrix of a linear model may change\n", + " | and some things must be recomputed.\n", + " | \n", + " | ----------------------------------------------------------------------\n", + " | Data descriptors inherited from statsmodels.base.model.Model:\n", + " | \n", + " | __dict__\n", + " | dictionary for instance variables (if defined)\n", + " | \n", + " | __weakref__\n", + " | list of weak references to the object (if defined)\n", + " | \n", + " | endog_names\n", + " | Names of endogenous variables\n", + "\n" + ] + } + ], + "source": [ + "# Je vous recommande d'y jeter un coup d'oeil !\n", + "\n", + "# \n", + "help(ARIMA)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Paramètres p, d, q\n", + "\n", + "* p: Le nombre d'observations de retard incluses dans le modèle.\n", + "* d: Le nombre de fois que les observations brutes sont différentes, aussi appelé le degré de différence.\n", + "* q: La taille de la fenêtre de la moyenne mobile, aussi appelée l'ordre de la moyenne mobile." + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " Statespace Model Results \n", + "==========================================================================================\n", + "Dep. Variable: Milk in pounds per cow No. Observations: 168\n", + "Model: SARIMAX(0, 1, 0)x(1, 1, 1, 12) Log Likelihood -534.065\n", + "Date: Fri, 27 Dec 2019 AIC 1074.131\n", + "Time: 13:58:54 BIC 1083.261\n", + "Sample: 01-01-1962 HQIC 1077.839\n", + " - 12-01-1975 \n", + "Covariance Type: opg \n", + "==============================================================================\n", + " coef std err z P>|z| [0.025 0.975]\n", + "------------------------------------------------------------------------------\n", + "ar.S.L12 -0.0449 0.106 -0.422 0.673 -0.253 0.163\n", + "ma.S.L12 -0.5860 0.102 -5.762 0.000 -0.785 -0.387\n", + "sigma2 55.5118 5.356 10.365 0.000 45.015 66.009\n", + "===================================================================================\n", + "Ljung-Box (Q): 33.48 Jarque-Bera (JB): 32.04\n", + "Prob(Q): 0.76 Prob(JB): 0.00\n", + "Heteroskedasticity (H): 0.69 Skew: 0.77\n", + "Prob(H) (two-sided): 0.18 Kurtosis: 4.60\n", + "===================================================================================\n", + "\n", + "Warnings:\n", + "[1] Covariance matrix calculated using the outer product of gradients (complex-step).\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/Users/rod/opt/anaconda3/envs/pyfinance/lib/python3.7/site-packages/statsmodels/tsa/base/tsa_model.py:165: ValueWarning: No frequency information was provided, so inferred frequency MS will be used.\n", + " % freq, ValueWarning)\n" + ] + } + ], + "source": [ + "# Nou avons des données saisonnières!\n", + "model = sm.tsa.statespace.SARIMAX(df['Milk in pounds per cow'],order=(0,1,0), seasonal_order=(1,1,1,12))\n", + "results = model.fit()\n", + "print(results.summary())\n", + "# avertissement obtenu en passant dans la fonction statemodels un dataframe dont l'index est un objet datetime pandas" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 41, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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7eAR7ZHZ0mGiifkH6ehywsMKjlh3AqbnnK4Gd1epIKgCLgd0TtLmySpsvpuGx0jDZS5UaiIibI2JdRKxbtmzZBC/B5qq+wToyFQ9/mY0z0fDXn6av/30KbW8C1khaDTwPbCC71EteB3Al2Uqyy4EHIqJq5pGGtQ5IeivwEPBB4P+UtfWZ9PU7U+izGTDxyY/tLc0MePjLbJx6Lyj5WUmLJLVIul/Sy5LeX+uYiCgC1wL3Ak8Bd0XEZkk3SLosVbsFWCqpC/gYuRVbkraRLQ74kKQduZVj/wn4M6ALeJZskh6yYHKBpGeAC9Jzs0mLiHRBSc+pmE1WvSc/XhgR/0XSu8mGoN4LPAj8Ra2D0gmT95SVXZ/b7kttVTp2VZXyTuANFcpfAc6v+SrM6lDrVsIlvkyLWWX1nvxYumjkpcA3IqLWvIfZUa10pnztOZVm+nxGvdk49WYq35X0NNAL/I6kZWQnKJodc0oZSO3VX85UzCqp99L3G4G3AesiYhA4RHayodkxp6+uTKWJwaFgaHhSK9rNjnn1ZioAP0d2vkr+mK9Nc3/MZlxdmUq6gvFAcZh5rdWDj9lcU++l728HXgs8BpRy/sBBxY5B9WQq7elik/3FIQcVs5x6M5V1wNpa55CYHSsmk6l4WbHZWPWu/noCOLmRHTGbLeqdUwHfp96sXL2ZyonAk5IeBvpLhRFxWfVDzI5O9a7+guzCk2Y2qt6g8qlGdsJsNqkvU0nDX85UzMaoK6hExD9KejWwJiLukzQf8OykHZPqm1NpGlPXzDL1XvvrP5LdROtPU9EK4K8b1SmzmTSpORVP1JuNUe9E/TXA24H9ABHxDOCbYNkxqZ5MpRRwnKmYjVVvUOmPiIHSk3QCpJcX2zGprkylxau/zCqpN6j8o6Q/AOZJugD4K+C7jeuW2czxeSpmU1dvUNkIdAOPA79Fdjn7/9qoTpnNpL7BYVqbm2hqqnT36kwp4PT57o9mY9S7+mtY0l8Dfx0R3Q3uk9mM6i8O1cxSwBP1ZtXU/M1R5lOSXgaeBrZI6pZ0fa3jzI5mfYO17/oIjOz3RL3ZWBMNf32UbNXXz0fE0og4AXgL8HZJ/7nhvTObAZPKVDxRbzbGREHlg8AVEfHTUkFEbAXen/bVJOliSVskdUnaWGF/m6Q70/6HJK3K7bsulW+RdFEqe52kx3KP/ZI+mvZ9StLzuX2X1vMGmJXrHxweuQpxNYUm0SQPf5mVm2hOpSUiXi4vjIhuSS2VDiiR1AzcBFxAdl/7TZI6IuLJXLWrgD0RcbqkDcCNwPskrQU2AGcCpwD3STojIrYAZ+Xafx74dq69L0TEH03wmsxqyjKV2sNfkmhvafbwl1mZiTKVgSnuAzgP6IqIrekclzsYf7fI9cBtaftu4HxJSuV3RER/ypK6Unt55wPPRsRzE/TDbFL66shUIBsCc6ZiNtZEvzlvTkNM5Y8DwBsnOHYFsD33fEcqq1gnIorAPmBpncduAL5RVnatpB9LulXSkkqdknS1pE5Jnd3dXshm49WTqUB2rornVMzGqhlUIqI5IhZVeCyMiJrDX0ClRf7lZ+FXq1PzWEmtwGVkJ2GWfJns7pRnAbuAz1XqVETcHBHrImLdsmXLqvfe5qy6M5WWJl/63qxMvSc/TsUO4NTc85XAzmp10qVfFgO76zj2EuDRiHixVBARL0bEUEQMA19l/HCZWV3qz1SanKmYlWlkUNkErJG0OmUWG4COsjodwJVp+3LggXTL4g5gQ1odthpYAzycO+4Kyoa+JC3PPX032d0qzSat/jkVT9Sblav3Jl2TFhFFSdcC95Lde+XWiNgs6QagMyI6gFuA2yV1kWUoG9KxmyXdBTwJFIFrImIIIN3L5QKyy8XkfVbSWWTDZNsq7Dery6QyFU/Um43RsKACEBH3kF0nLF92fW67D3hvlWM/DXy6QnkP2WR+efkHDre/ZlB/ptLe0kyvr/1lNkYjh7/Mjkr9xaEJL9MCpUzFQcUsz0HFLCciskxlgsu0QLb6q3fAQcUsz0HFLKc0R1JPptLe0jxyQy8zyziomOWU7o8yr46gMq+l2fdTMSvjoGKW05OGs+a1ThxU5rc2j9Q3s4yDillOaTXX/DqCyry0+is7tcrMwEHFbIzSxHs9w1/trb5PvVk5BxWznFKmUtfwVwo8XgFmNspBxSynNEdS1/BXqtPjyXqzEQ4qZjm9A0UgWy48kXZnKmbjOKiY5YxO1E98BaPSvIuXFZuNclAxy5nM8Fcp8HhZsdkoBxWznNJQVj3DX/Nas18fX1TSbJSDillO7yQyFc+pmI3noGKW0zM4RKFJtDRP/KvhORWz8RxUzHJ6B4bqOkcFPKdiVomDillO78BQXUNfMJqpeE7FbFRDg4qkiyVtkdQlaWOF/W2S7kz7H5K0KrfvulS+RdJFufJtkh6X9Jikzlz5CZK+J+mZ9HVJI1+bHZt6BofqukQLQHuaqPfwl9mohgUVSc3ATcAlwFrgCklry6pdBeyJiNOBLwA3pmPXkt2v/kzgYuBPUnslvxQRZ0XEulzZRuD+iFgD3J+em01KNvxV3122W5ubaG4SPemESTNrbKZyHtAVEVsjYgC4A1hfVmc9cFvavhs4X5JS+R0R0R8RPwW6Unu15Nu6DXjXNLwGm2N6B4vMq+P+9ACSsisVD/iCkmYljQwqK4Dtuec7UlnFOhFRBPYBSyc4NoC/l/SIpKtzdU6KiF2prV3Aqyp1StLVkjoldXZ3d0/phdmxK5tTqS9TgWxZsedUzEY1MqioQln5jSeq1al17Nsj4hyyYbVrJP3CZDoVETdHxLqIWLds2bLJHGpzQM8kVn9BdgKk51TMRjUyqOwATs09XwnsrFZHUgFYDOyudWxElL6+BHyb0WGxFyUtT20tB16axtdic0TvJCbqAea3FDynYpbTyKCyCVgjabWkVrKJ946yOh3AlWn7cuCByG6j1wFsSKvDVgNrgIclLZC0EEDSAuBC4IkKbV0JfKdBr8uOYZNZUgzZjbp6Bz2nYlZS/+DxJEVEUdK1wL1AM3BrRGyWdAPQGREdwC3A7ZK6yDKUDenYzZLuAp4EisA1ETEk6STg29lcPgXgLyPi79K3/Axwl6SrgJ8B723Ua7NjV+/AUF3X/SqZ39JMT78zFbOShgUVgIi4B7inrOz63HYfVf7zj4hPA58uK9sKvLlK/VeA8w+zyzaHRQQHB4osbK//1+K49gLbd/c0sFdmRxefUW+W9AwMEQHHtU0iqLQVOOhMxWyEg4pZUgoOx00mU2krcMhBxWyEg4pZcqBvEICF7S11H7PAmYrZGA4qZsmBviw4LJzE8NfC9gKDQ0F/0eeqmIGDitmIqQ5/ARzsc7ZiBg4qZiNKgWEyE/ULSkHFQ2BmgIOK2YgD/ZMPKsc5qJiN4aBilpQylUmdp+LhL7MxHFTMklK2sWAymUq7MxWzPAcVs+Rgf5H2liZamuv/tfDwl9lYDipmyYG+Ise11X+OCjiomJVzUDFLDvYXWTSJ+RQYHf7yWfVmGQcVs+Rg3+CkzlGB7CrF2bEOKmbgoGI24mB/cVLLiQGamsRxbYWR5chmc52DilmSzalM/m4QC9qaPfxlljiomCX7ewcndTHJkoXtLezvdVAxAwcVsxF7egZZMn/yQWXJ/Bb29g40oEdmR5+GBhVJF0vaIqlL0sYK+9sk3Zn2PyRpVW7fdal8i6SLUtmpkh6U9JSkzZJ+N1f/U5Kel/RYelzayNdmx5a+wSF6B4dYsqB10scumd/KnkODDeiV2dGnYUFFUjNwE3AJsBa4QtLasmpXAXsi4nTgC8CN6di1ZPerPxO4GPiT1F4R+L2I+DngrcA1ZW1+ISLOSo8xtzE2q2VvTxYUjp9SptLKnh5nKmbQ2EzlPKArIrZGxABwB7C+rM564La0fTdwviSl8jsioj8ifgp0AedFxK6IeBQgIg4ATwErGvgabI4oBYUl86eQqSzIgkpETHe3zI46jQwqK4Dtuec7GB8ARupERBHYByyt59g0VHY28FCu+FpJP5Z0q6Qlh/8SbK4oBZWpZSotDA4FhwZ8oy6zRgYVVSgr/1OuWp2ax0o6Dvgm8NGI2J+Kvwy8FjgL2AV8rmKnpKsldUrq7O7urv0KbM4oDX9NNVMB2HPIQ2BmjQwqO4BTc89XAjur1ZFUABYDu2sdK6mFLKB8PSK+VaoQES9GxFBEDANfJRt+Gycibo6IdRGxbtmyZYfx8uxYcjjDXyekYzyvYtbYoLIJWCNptaRWson3jrI6HcCVafty4IHIBqY7gA1pddhqYA3wcJpvuQV4KiI+n29I0vLc03cDT0z7K7JjVinLmNLw14LsmN3OVMyY/OnDdYqIoqRrgXuBZuDWiNgs6QagMyI6yALE7ZK6yDKUDenYzZLuAp4kW/F1TUQMSfo3wAeAxyU9lr7VH6SVXp+VdBbZMNk24Lca9drs2PPSgX4Wz2uhPV3LazJK2U1pCM1sLmtYUAFI/9nfU1Z2fW67D3hvlWM/DXy6rOz7VJ5vISI+cLj9tbnrpf39LFvYNqVjT0hzKs5UzHxGvRkALx3o41VTDCqL2ltoEuz1nIqZg4oZZMNfUw0qTU1iyfxWug86qJg5qNicFxFZUFnUPuU2Tl7czov7+6axV2ZHJwcVm/P29xYZKA5POVMBWL64nV37HFTMHFRsztu+pweAFcfPm3IbJy9uZ9e+3unqktlRy0HF5rztu7OgcuoJ86fcxvLF89jbM0ivL9Vic5yDis15pUzl8IJKNh/jbMXmOgcVm/N+truHRe0FFs+b/Nn0JaelgPTcKz3T1S2zo5KDis15217u4dVLFxxWG69ddhwAz3YfnI4umR21HFRsznv6hQO87uSFh9XGkgWtLJnfwrPdh6apV2ZHJwcVm9NePtjPywf7ef1hBhXIspWulw5MQ6/Mjl4OKjanPbUrux3P609edNhtvWHFYp54fj/FoeHDbsvsaOWgYnPapm17aBK86dTFh93WOa9eQu/gEE+/4GzF5i4HFZvTHtr6CmtPWcSi9qmv/Co599XZHax/8Owrh92W2dHKQcXmrH09gzz6sz28/bUnTkt7K46fx5mnLOJvHt81Le2ZHY0cVGzO+rvNuxgcCn7lTcsnrlynd5+9gh9t30vntt3T1qbZ0cRBxeak4eHg1u9v44yTjuONKw5/PqXk199yGictauNjd/1oZBGA2VzioGJz0tcfeo4tLx7gml86HanizUSnZH5rga+8/1wO9he59Iv/zAdueYiOH+2kb9DXBLO5oaFBRdLFkrZI6pK0scL+Nkl3pv0PSVqV23ddKt8i6aKJ2pS0OrXxTGqztZGvzeozPBzs3NtL10sH2X1ogIiY6S5xz+O7uOFvnuQXzljGZW8+ZdrbP/u0JTzwe/+Wj/y7NWztPsRHvvFD3vI/7ue/fecJNu/cN+3fby6LCLoP9PNs90Fe2NfH8PDMf77mOjXql1xSM/AT4AJgB7AJuCIinszV+R3gTRHx25I2AO+OiPdJWgt8AzgPOAW4DzgjHVaxTUl3Ad+KiDskfQX4UUR8uVYf161bF52dndP4que2geIwL+zr48ld+/nhz/bww+17eWrnfg70F0fqLGwvsHb5It6wYjFvWLGIM09ZzGtOXEChuXF/3wwPB90H+/nhz/Zw56btPLilm3NOO54//83zDut6X/V+73959hXu7NzOvZtfYKA4zJmnLOJ9P38q5//cSSxf1E5T0/RlSseyoeHgxf19dL10kEee28Mjz+3hiZ372NszOFJnXkszrzt5IW9YsYg3rljMmacs5oyTFtJa8KDMdJL0SESsq7ivgUHlbcCnIuKi9Pw6gIj4n7k696Y6P5BUAF4AlgEb83VL9dJh49oEPgN0AydHRLH8e1cz1aBy16bt3PzPW0l9HCmPcRtjNivWjTF1c/vz5RV+RBW/b5X2omp/xrQ4Qd3a3y8iONBfHHne2tzE2lOyX+zXL1/IcW0FXj44wNbug2zeuZ+nX9hP32B2kmBLs1jQVmB+SzNtLc2M/Beb+7+2tJkfqhqOYHg4GI5sO9LXoVQWEQxHcGhgiIFi9r2WzG/hw+94DR9+x2raCs0cSXt7Buj40U7u3JEH1tQAAAgaSURBVLSdzTuz+ZbW5iYWzSvQVmimtdBEpZG4aiGn2rBd6WdV/nmMKvtHfoZln4Hyz13dx5XtL/9sTdiPKv3vHRyimDKRJmUnrL5pZRY0lh7Xyv6+Ilu7D/Lkzv1s3rmfg+mPmSbBgrYCC1oLtLc0jbxvGvln/OdrLoT5j5y/hndOMVOvFVQKh9Wr2lYA23PPdwBvqVYnBYN9wNJU/q9lx65I25XaXArsjYhihfpjSLoauBrgtNNOm9wrSpYsaOV1J+Uu6zHBf375D6gmUXdsu7k6Gl9XE9Wt0nDl/tRua/z3zp4dP7+FU46fx2uXHccbViyq+Z92cWiYrS8f4onn9/HMSwc52Fekd3CI/vSf/8TBOmiS0iO7T/zItoQkmpuy7XktzaxcMo/XnbyIs087npYGZkW1HD+/lQ++bRUffNsqNu/cx2Pb9/Kz3T0c7CvSXxymvzg8bniw6p98lf7QIEZ/XhP8Z1n+GRr3n+nIflWpX2V/WQN1H1fWDyrUb29pYuWS+bx66XzetHIxC2ucWzQ8HDy3u4cnnt/HT148wIG+Ij0DxZE/ZIJawXduDKE1KktvZFCpFOzLf1rV6lQrr/S/Qa364wsjbgZuhixTqVRnIhesPYkL1p40lUMtKTQ3ccZJCznjpMO/5tbR6MxTsqEZa4ymJrH6xAWsPvHwrj5tk9fIP9l2AKfmnq8Edlark4a/FgO7axxbrfxl4PjURrXvZWZmDdbIoLIJWJNWZbUCG4COsjodwJVp+3Lggchy0g5gQ1odthpYAzxcrc10zIOpDVKb32ngazMzswoaNvyV5kiuBe4FmoFbI2KzpBuAzojoAG4BbpfURZahbEjHbk6ruZ4EisA1ETEEUKnN9C1/H7hD0h8CP0xtm5nZEdSw1V9HAy8pNjObvFqrv7x428zMpo2DipmZTRsHFTMzmzYOKmZmNm3m9ES9pG7guRpVTiQ7B+Zo4f42lvvbWO5vY01nf18dEcsq7ZjTQWUikjqrrXCYjdzfxnJ/G8v9bawj1V8Pf5mZ2bRxUDEzs2njoFLbzTPdgUlyfxvL/W0s97exjkh/PadiZmbTxpmKmZlNGwcVMzObNg4qiaQ7JT2WHtskPZbKV0nqze37Su6YcyU9LqlL0hdV7f6ujenvpyQ9n+vXpbl916U+bZF0Ua784lTWJWnjEezr/5L0tKQfS/q2pONT+ax8byuZqfeuRn9OlfSgpKckbZb0u6l80p+LI9jnbeln+pikzlR2gqTvSXomfV2SypV+7l3pc3POEe7r63Lv4WOS9kv66Gx6fyXdKuklSU/kyib9fkq6MtV/RtKVlb7XpESEH2UP4HPA9Wl7FfBElXoPA28ju/Pk3wKXHME+fgr4eIXytcCPgDZgNfAs2W0CmtP2a4DWVGftEerrhUAhbd8I3Dib39sKfZmx965Gn5YD56TthcBP0s9+Up+LI9znbcCJZWWfBTam7Y25z8al6ecu4K3AQzP8838BePVsen+BXwDOyf8OTfb9BE4AtqavS9L2ksPplzOVMukv4l8DvjFBveXAooj4QWQ/na8B7zoCXZzIeuCOiOiPiJ8CXcB56dEVEVsjYgC4I9VtuIj4+4gopqf/SnZnzqpm4Xs7Y+9dNRGxKyIeTdsHgKeAFTUOqfa5mGnrgdvS9m2M/pzXA1+LzL+S3dl1+Ux0EDgfeDYial1944i/vxHxT2T3oSrvx2Tez4uA70XE7ojYA3wPuPhw+uWgMt47gBcj4plc2WpJP5T0j5LekcpWkN3euGQHtX+pG+HalMreWkpzUx+2V+hXtfIj7T+Q/cVUMlvf27zZ8t5VJGkVcDbwUCqazOfiSArg7yU9IunqVHZSROyCLFACr0rls6G/JRsY+0fmbH1/YfLv57T3e04FFUn3SXqiwiP/V+cVjP0A7QJOi4izgY8BfylpEVkaWW5a12dP0N8vA68Fzkp9/FzpsCr9amh/63lvJX2C7E6eX09FM/beTtJs688ISccB3wQ+GhH7mfzn4kh6e0ScA1wCXCPpF2rUnQ39Rdltyy8D/ioVzeb3t5Yj9v9Cw24nPBtFxC/X2i+pAPx74NzcMf1Af9p+RNKzwBlkET0/jLMS2Hkk+1si6avA36SnO4BTq/SrWvlhq+O9vRL4VeD8NKQ1o+/tJNV6T2eMpBaygPL1iPgWQES8mNtf7+fiiIiInenrS5K+TTY89KKk5RGxKw3HvDRb+ptcAjxael9n8/ubTPb93AH8Yln5PxxOB+ZUplKHXwaejoiRoRdJyyQ1p+3XAGuArSm1PCDprWke5oPAd45UR8vGl98NlFaAdAAbJLVJWp36+zCwCVgjaXX662tDqnsk+nox8PvAZRHRkyufle9tBTP23lWT3pdbgKci4vO58sl+Lo5UfxdIWljaJlu88UTqV2nF0ZWM/pw7gA+mVUtvBfaVhnWOsDEjF7P1/c2Z7Pt5L3ChpCVpKO/CVDZ1jVydcLQ9gP8L/HZZ2XuAzWQrOx4F3pnbt47sQ/Us8CXSFQqOUF9vBx4Hfpw+MMtz+z6R+rSF3KopshUgP0n7PnEE+9pFNm77WHp8ZTa/t1Vew4y8dzX682/Ihil+nHtfL53K5+II9fc16ef8o/Qz/0QqXwrcDzyTvp6QygXclPr7OLBuBt7j+cArwOJc2ax5f8mC3S5gkCzjuGoq7yfZPGdXevzm4fbLl2kxM7Np4+EvMzObNg4qZmY2bRxUzMxs2jiomJnZtHFQMTOzaeOgYmZm08ZBxczMps3/B2dA4QUkkMnBAAAAAElFTkSuQmCC\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "results.resid.plot(kind='kde')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Prédiction des Valeurs Futures\n", + "\n", + "Nous pouvons avoir une idée de la performance de notre modèle en prédisant simplement pour des valeurs que nous connaissons déjà:" + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 43, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", 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Milk in pounds per cowMilk First DifferenceMilk Second DifferenceSeasonal DifferenceSeasonal First Differenceforecast
Month
1975-08-01858.0-38.03.0-9.03.0879.668974
1975-09-01817.0-41.0-3.02.011.0832.328554
1975-10-01827.010.051.015.013.0837.722249
1975-11-01797.0-30.0-40.024.09.0802.452736
1975-12-01843.046.076.030.06.0842.499870
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" + ], + "text/plain": [ + " Milk in pounds per cow Milk First Difference \\\n", + "Month \n", + "1975-08-01 858.0 -38.0 \n", + "1975-09-01 817.0 -41.0 \n", + "1975-10-01 827.0 10.0 \n", + "1975-11-01 797.0 -30.0 \n", + "1975-12-01 843.0 46.0 \n", + "\n", + " Milk Second Difference Seasonal Difference \\\n", + "Month \n", + "1975-08-01 3.0 -9.0 \n", + "1975-09-01 -3.0 2.0 \n", + "1975-10-01 51.0 15.0 \n", + "1975-11-01 -40.0 24.0 \n", + "1975-12-01 76.0 30.0 \n", + "\n", + " Seasonal First Difference forecast \n", + "Month \n", + "1975-08-01 3.0 879.668974 \n", + "1975-09-01 11.0 832.328554 \n", + "1975-10-01 13.0 837.722249 \n", + "1975-11-01 9.0 802.452736 \n", + "1975-12-01 6.0 842.499870 " + ] + }, + "execution_count": 44, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df.tail()" + ] + }, + { + "cell_type": "code", + "execution_count": 45, + "metadata": {}, + "outputs": [], + "source": [ + "# https://pandas.pydata.org/pandas-docs/stable/timeseries.html\n", + "# Alternatives \n", + "# pd.date_range(df.index[-1],periods=12,freq='M')" + ] + }, + { + "cell_type": "code", + "execution_count": 46, + "metadata": {}, + "outputs": [], + "source": [ + "from pandas.tseries.offsets import DateOffset" + ] + }, + { + "cell_type": "code", + "execution_count": 47, + "metadata": {}, + "outputs": [], + "source": [ + "future_dates = [df.index[-1] + DateOffset(months=x) for x in range(0,24) ]" + ] + }, + { + "cell_type": "code", + "execution_count": 48, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[Timestamp('1975-12-01 00:00:00'),\n", + " Timestamp('1976-01-01 00:00:00'),\n", + " Timestamp('1976-02-01 00:00:00'),\n", + " Timestamp('1976-03-01 00:00:00'),\n", + " Timestamp('1976-04-01 00:00:00'),\n", + " Timestamp('1976-05-01 00:00:00'),\n", + " Timestamp('1976-06-01 00:00:00'),\n", + " Timestamp('1976-07-01 00:00:00'),\n", + " Timestamp('1976-08-01 00:00:00'),\n", + " Timestamp('1976-09-01 00:00:00'),\n", + " Timestamp('1976-10-01 00:00:00'),\n", + " Timestamp('1976-11-01 00:00:00'),\n", + " Timestamp('1976-12-01 00:00:00'),\n", + " Timestamp('1977-01-01 00:00:00'),\n", + " Timestamp('1977-02-01 00:00:00'),\n", + " Timestamp('1977-03-01 00:00:00'),\n", + " Timestamp('1977-04-01 00:00:00'),\n", + " Timestamp('1977-05-01 00:00:00'),\n", + " Timestamp('1977-06-01 00:00:00'),\n", + " Timestamp('1977-07-01 00:00:00'),\n", + " Timestamp('1977-08-01 00:00:00'),\n", + " Timestamp('1977-09-01 00:00:00'),\n", + " Timestamp('1977-10-01 00:00:00'),\n", + " Timestamp('1977-11-01 00:00:00')]" + ] + }, + "execution_count": 48, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "future_dates" + ] + }, + { + "cell_type": "code", + "execution_count": 49, + "metadata": {}, + "outputs": [], + "source": [ + "future_dates_df = pd.DataFrame(index=future_dates[1:],columns=df.columns)" + ] + }, + { + "cell_type": "code", + "execution_count": 50, + "metadata": {}, + "outputs": [], + "source": [ + "future_df = pd.concat([df,future_dates_df])" + ] + }, + { + "cell_type": "code", + "execution_count": 51, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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Milk in pounds per cowMilk First DifferenceMilk Second DifferenceSeasonal DifferenceSeasonal First Differenceforecast
1962-01-01589.0NaNNaNNaNNaNNaN
1962-02-01561.0-28.0NaNNaNNaNNaN
1962-03-01640.079.0107.0NaNNaNNaN
1962-04-01656.016.0-63.0NaNNaNNaN
1962-05-01727.071.055.0NaNNaNNaN
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" + ], + "text/plain": [ + " Milk in pounds per cow Milk First Difference \\\n", + "1962-01-01 589.0 NaN \n", + "1962-02-01 561.0 -28.0 \n", + "1962-03-01 640.0 79.0 \n", + "1962-04-01 656.0 16.0 \n", + "1962-05-01 727.0 71.0 \n", + "\n", + " Milk Second Difference Seasonal Difference \\\n", + "1962-01-01 NaN NaN \n", + "1962-02-01 NaN NaN \n", + "1962-03-01 107.0 NaN \n", + "1962-04-01 -63.0 NaN \n", + "1962-05-01 55.0 NaN \n", + "\n", + " Seasonal First Difference forecast \n", + "1962-01-01 NaN NaN \n", + "1962-02-01 NaN NaN \n", + "1962-03-01 NaN NaN \n", + "1962-04-01 NaN NaN \n", + "1962-05-01 NaN NaN " + ] + }, + "execution_count": 51, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "future_df.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 52, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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Milk in pounds per cowMilk First DifferenceMilk Second DifferenceSeasonal DifferenceSeasonal First Differenceforecast
1977-07-01NaNNaNNaNNaNNaNNaN
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" + ], + "text/plain": [ + " Milk in pounds per cow Milk First Difference \\\n", + "1977-07-01 NaN NaN \n", + "1977-08-01 NaN NaN \n", + "1977-09-01 NaN NaN \n", + "1977-10-01 NaN NaN \n", + "1977-11-01 NaN NaN \n", + "\n", + " Milk Second Difference Seasonal Difference \\\n", + "1977-07-01 NaN NaN \n", + "1977-08-01 NaN NaN \n", + "1977-09-01 NaN NaN \n", + "1977-10-01 NaN NaN \n", + "1977-11-01 NaN NaN \n", + "\n", + " Seasonal First Difference forecast \n", + "1977-07-01 NaN NaN \n", + "1977-08-01 NaN NaN \n", + "1977-09-01 NaN NaN \n", + "1977-10-01 NaN NaN \n", + "1977-11-01 NaN NaN " + ] + }, + "execution_count": 52, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "future_df.tail()" + ] + }, + { + "cell_type": "code", + "execution_count": 53, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 53, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "future_df['forecast'] = results.predict(start = 168, end = 188, dynamic= True) \n", + "future_df[['Milk in pounds per cow', 'forecast']].plot(figsize=(12, 8)) " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Pas mal ! Plutôt cool en fait ! J'espère que cela vous a aidé à voir le potentiel des modèles ARIMA, malheureusement beaucoup de données financières ne suivront pas ce genre de comportement, en fait il suivra souvent quelque chose indiquant un mouvement brownien, qu'est ce que c'est ? Et bien allez à la prochaine section vidéo et nous allons le découvrir !\n", + "\n", + "# Bon Travail!" + ] + } + ], + "metadata": { + "anaconda-cloud": {}, + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.7.5" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} diff --git a/08-Analyse-Time-Series/airline_passengers.csv b/08-Analyse-Time-Series/airline_passengers.csv new file mode 100644 index 0000000..3cb1fcd --- /dev/null +++ b/08-Analyse-Time-Series/airline_passengers.csv @@ -0,0 +1,148 @@ +"Month","Thousands of Passengers" +"1949-01",112 +"1949-02",118 +"1949-03",132 +"1949-04",129 +"1949-05",121 +"1949-06",135 +"1949-07",148 +"1949-08",148 +"1949-09",136 +"1949-10",119 +"1949-11",104 +"1949-12",118 +"1950-01",115 +"1950-02",126 +"1950-03",141 +"1950-04",135 +"1950-05",125 +"1950-06",149 +"1950-07",170 +"1950-08",170 +"1950-09",158 +"1950-10",133 +"1950-11",114 +"1950-12",140 +"1951-01",145 +"1951-02",150 +"1951-03",178 +"1951-04",163 +"1951-05",172 +"1951-06",178 +"1951-07",199 +"1951-08",199 +"1951-09",184 +"1951-10",162 +"1951-11",146 +"1951-12",166 +"1952-01",171 +"1952-02",180 +"1952-03",193 +"1952-04",181 +"1952-05",183 +"1952-06",218 +"1952-07",230 +"1952-08",242 +"1952-09",209 +"1952-10",191 +"1952-11",172 +"1952-12",194 +"1953-01",196 +"1953-02",196 +"1953-03",236 +"1953-04",235 +"1953-05",229 +"1953-06",243 +"1953-07",264 +"1953-08",272 +"1953-09",237 +"1953-10",211 +"1953-11",180 +"1953-12",201 +"1954-01",204 +"1954-02",188 +"1954-03",235 +"1954-04",227 +"1954-05",234 +"1954-06",264 +"1954-07",302 +"1954-08",293 +"1954-09",259 +"1954-10",229 +"1954-11",203 +"1954-12",229 +"1955-01",242 +"1955-02",233 +"1955-03",267 +"1955-04",269 +"1955-05",270 +"1955-06",315 +"1955-07",364 +"1955-08",347 +"1955-09",312 +"1955-10",274 +"1955-11",237 +"1955-12",278 +"1956-01",284 +"1956-02",277 +"1956-03",317 +"1956-04",313 +"1956-05",318 +"1956-06",374 +"1956-07",413 +"1956-08",405 +"1956-09",355 +"1956-10",306 +"1956-11",271 +"1956-12",306 +"1957-01",315 +"1957-02",301 +"1957-03",356 +"1957-04",348 +"1957-05",355 +"1957-06",422 +"1957-07",465 +"1957-08",467 +"1957-09",404 +"1957-10",347 +"1957-11",305 +"1957-12",336 +"1958-01",340 +"1958-02",318 +"1958-03",362 +"1958-04",348 +"1958-05",363 +"1958-06",435 +"1958-07",491 +"1958-08",505 +"1958-09",404 +"1958-10",359 +"1958-11",310 +"1958-12",337 +"1959-01",360 +"1959-02",342 +"1959-03",406 +"1959-04",396 +"1959-05",420 +"1959-06",472 +"1959-07",548 +"1959-08",559 +"1959-09",463 +"1959-10",407 +"1959-11",362 +"1959-12",405 +"1960-01",417 +"1960-02",391 +"1960-03",419 +"1960-04",461 +"1960-05",472 +"1960-06",535 +"1960-07",622 +"1960-08",606 +"1960-09",508 +"1960-10",461 +"1960-11",390 +"1960-12",432 + +International airline passengers: monthly totals in thousands. Jan 49 ? Dec 60 + diff --git a/08-Analyse-Time-Series/monthly-milk-production-pounds-p.csv b/08-Analyse-Time-Series/monthly-milk-production-pounds-p.csv new file mode 100644 index 0000000..9dee751 --- /dev/null +++ b/08-Analyse-Time-Series/monthly-milk-production-pounds-p.csv @@ -0,0 +1,172 @@ +"Month","Monthly milk production: pounds per cow. Jan 62 ? Dec 75" +"1962-01",589 +"1962-02",561 +"1962-03",640 +"1962-04",656 +"1962-05",727 +"1962-06",697 +"1962-07",640 +"1962-08",599 +"1962-09",568 +"1962-10",577 +"1962-11",553 +"1962-12",582 +"1963-01",600 +"1963-02",566 +"1963-03",653 +"1963-04",673 +"1963-05",742 +"1963-06",716 +"1963-07",660 +"1963-08",617 +"1963-09",583 +"1963-10",587 +"1963-11",565 +"1963-12",598 +"1964-01",628 +"1964-02",618 +"1964-03",688 +"1964-04",705 +"1964-05",770 +"1964-06",736 +"1964-07",678 +"1964-08",639 +"1964-09",604 +"1964-10",611 +"1964-11",594 +"1964-12",634 +"1965-01",658 +"1965-02",622 +"1965-03",709 +"1965-04",722 +"1965-05",782 +"1965-06",756 +"1965-07",702 +"1965-08",653 +"1965-09",615 +"1965-10",621 +"1965-11",602 +"1965-12",635 +"1966-01",677 +"1966-02",635 +"1966-03",736 +"1966-04",755 +"1966-05",811 +"1966-06",798 +"1966-07",735 +"1966-08",697 +"1966-09",661 +"1966-10",667 +"1966-11",645 +"1966-12",688 +"1967-01",713 +"1967-02",667 +"1967-03",762 +"1967-04",784 +"1967-05",837 +"1967-06",817 +"1967-07",767 +"1967-08",722 +"1967-09",681 +"1967-10",687 +"1967-11",660 +"1967-12",698 +"1968-01",717 +"1968-02",696 +"1968-03",775 +"1968-04",796 +"1968-05",858 +"1968-06",826 +"1968-07",783 +"1968-08",740 +"1968-09",701 +"1968-10",706 +"1968-11",677 +"1968-12",711 +"1969-01",734 +"1969-02",690 +"1969-03",785 +"1969-04",805 +"1969-05",871 +"1969-06",845 +"1969-07",801 +"1969-08",764 +"1969-09",725 +"1969-10",723 +"1969-11",690 +"1969-12",734 +"1970-01",750 +"1970-02",707 +"1970-03",807 +"1970-04",824 +"1970-05",886 +"1970-06",859 +"1970-07",819 +"1970-08",783 +"1970-09",740 +"1970-10",747 +"1970-11",711 +"1970-12",751 +"1971-01",804 +"1971-02",756 +"1971-03",860 +"1971-04",878 +"1971-05",942 +"1971-06",913 +"1971-07",869 +"1971-08",834 +"1971-09",790 +"1971-10",800 +"1971-11",763 +"1971-12",800 +"1972-01",826 +"1972-02",799 +"1972-03",890 +"1972-04",900 +"1972-05",961 +"1972-06",935 +"1972-07",894 +"1972-08",855 +"1972-09",809 +"1972-10",810 +"1972-11",766 +"1972-12",805 +"1973-01",821 +"1973-02",773 +"1973-03",883 +"1973-04",898 +"1973-05",957 +"1973-06",924 +"1973-07",881 +"1973-08",837 +"1973-09",784 +"1973-10",791 +"1973-11",760 +"1973-12",802 +"1974-01",828 +"1974-02",778 +"1974-03",889 +"1974-04",902 +"1974-05",969 +"1974-06",947 +"1974-07",908 +"1974-08",867 +"1974-09",815 +"1974-10",812 +"1974-11",773 +"1974-12",813 +"1975-01",834 +"1975-02",782 +"1975-03",892 +"1975-04",903 +"1975-05",966 +"1975-06",937 +"1975-07",896 +"1975-08",858 +"1975-09",817 +"1975-10",827 +"1975-11",797 +"1975-12",843 + +Monthly milk production: pounds per cow. Jan 62 ? Dec 75 + diff --git a/09-Python-Finance-Fondamentaux/.ipynb_checkpoints/01-Répartition-Portefeuille-et-Ratio-Sharpe-checkpoint.ipynb b/09-Python-Finance-Fondamentaux/.ipynb_checkpoints/01-Répartition-Portefeuille-et-Ratio-Sharpe-checkpoint.ipynb new file mode 100644 index 0000000..9a599b2 --- /dev/null +++ b/09-Python-Finance-Fondamentaux/.ipynb_checkpoints/01-Répartition-Portefeuille-et-Ratio-Sharpe-checkpoint.ipynb @@ -0,0 +1,1352 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Sharpe Ratio and Portfolio Values" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "import pandas as pd" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "import quandl" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Create a Portfolio" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "start = pd.to_datetime('2012-01-01')\n", + "end = pd.to_datetime('2017-01-01')" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# Grabbing a bunch of tech stocks for our portfolio\n", + "aapl = quandl.get('WIKI/AAPL.11',start_date=start,end_date=end)\n", + "cisco = quandl.get('WIKI/CSCO.11',start_date=start,end_date=end)\n", + "ibm = quandl.get('WIKI/IBM.11',start_date=start,end_date=end)\n", + "amzn = quandl.get('WIKI/AMZN.11',start_date=start,end_date=end)" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# Alternative\n", + "# aapl = pd.read_csv('AAPL_CLOSE',index_col='Date',parse_dates=True)\n", + "# cisco = pd.read_csv('CISCO_CLOSE',index_col='Date',parse_dates=True)\n", + "# ibm = pd.read_csv('IBM_CLOSE',index_col='Date',parse_dates=True)\n", + "# amzn = pd.read_csv('AMZN_CLOSE',index_col='Date',parse_dates=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "aapl.to_csv('AAPL_CLOSE')\n", + "cisco.to_csv('CISCO_CLOSE')\n", + "ibm.to_csv('IBM_CLOSE')\n", + "amzn.to_csv('AMZN_CLOSE')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Normalize Prices\n", + "\n", + "This is the same as cumulative daily returns" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "53.063217800140997" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Example\n", + "aapl.iloc[0]['Adj. Close']" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "for stock_df in (aapl,cisco,ibm,amzn):\n", + " stock_df['Normed Return'] = stock_df['Adj. Close']/stock_df.iloc[0]['Adj. Close']" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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Adj. CloseNormed Return
Date
2016-12-23115.5477422.177549
2016-12-27116.2815682.191378
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2016-12-29115.7559902.181473
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" + ], + "text/plain": [ + " Adj. Close Normed Return\n", + "Date \n", + "2016-12-23 115.547742 2.177549\n", + "2016-12-27 116.281568 2.191378\n", + "2016-12-28 115.785740 2.182034\n", + "2016-12-29 115.755990 2.181473\n", + "2016-12-30 114.853583 2.164467" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "aapl.tail()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Allocations\n", + "\n", + "Let's pretend we had the following allocations for our total portfolio:\n", + "\n", + "* 30% in Apple\n", + "* 20% in Google/Alphabet\n", + "* 40% in Amazon\n", + "* 10% in IBM\n", + "\n", + "Let's have these values be reflected by multiplying our Norme Return by out Allocations" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "for stock_df,allo in zip([aapl,cisco,ibm,amzn],[.3,.2,.4,.1]):\n", + " stock_df['Allocation'] = stock_df['Normed Return']*allo" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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Adj. CloseNormed ReturnAllocation
Date
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" + ], + "text/plain": [ + " Adj. Close Normed Return Allocation\n", + "Date \n", + "2012-01-03 53.063218 1.000000 0.300000\n", + "2012-01-04 53.348386 1.005374 0.301612\n", + "2012-01-05 53.940658 1.016536 0.304961\n", + "2012-01-06 54.504543 1.027162 0.308149\n", + "2012-01-09 54.418089 1.025533 0.307660" + ] + }, + "execution_count": 12, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "aapl.head()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Investment\n", + "\n", + "Let's pretend we invested a million dollars in this portfolio" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "for stock_df in [aapl,cisco,ibm,amzn]:\n", + " stock_df['Position Values'] = stock_df['Allocation']*1000000" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Total Portfolio Value" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "portfolio_val = pd.concat([aapl['Position Values'],cisco['Position Values'],ibm['Position Values'],amzn['Position Values']],axis=1)" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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Date
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" + ], + "text/plain": [ + " AAPL Pos CISCO Pos IBM Pos AMZN Pos \\\n", + "Date \n", + "2012-01-03 300000.000000 200000.000000 400000.000000 100000.000000 \n", + "2012-01-04 301612.236461 203864.734300 398368.223296 99150.980283 \n", + "2012-01-05 304960.727573 203113.258186 396478.797638 99206.836843 \n", + "2012-01-06 308148.724558 202361.782072 391926.999463 101999.664861 \n", + "2012-01-09 307659.946988 203650.026838 389887.278583 99737.474166 \n", + "\n", + " Total Pos \n", + "Date \n", + "2012-01-03 1.000000e+06 \n", + "2012-01-04 1.002996e+06 \n", + "2012-01-05 1.003760e+06 \n", + "2012-01-06 1.004437e+06 \n", + "2012-01-09 1.000935e+06 " + ] + }, + "execution_count": 19, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "portfolio_val.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "import matplotlib.pyplot as plt\n", + "%matplotlib inline" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 21, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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UuszqytAUsbAlNTN36Mw6tNamlk71bbPqfU5jtwX9vJYaN3qGQ4jFJIbGcl//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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "portfolio_val['Total Pos'].plot(figsize=(10,8))\n", + "plt.title('Total Portfolio Value')" + ] + }, + { + "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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iXaXMWdxYXpF66O+YPJfMmHca9Wp40MDXg30xqUwZ3OqqHAvMsTTuDmJnrHcf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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "portfolio_val.drop('Total Pos',axis=1).plot(kind='line')" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
\n", + "\n", + "\n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + "
AAPL PosCISCO PosIBM PosAMZN PosTotal Pos
Date
2016-12-23653264.617079377469.015679407359.955612424839.4123891.862933e+06
2016-12-27657413.396830379323.596496408410.671112430877.5065631.876025e+06
2016-12-28654610.167268376108.989746406089.322915431285.2594541.868094e+06
2016-12-29654441.973495376603.544631407091.167926427386.4715411.865523e+06
2016-12-30649340.095692373636.215323405600.618032418851.5891191.847429e+06
\n", + "
" + ], + "text/plain": [ + " AAPL Pos CISCO Pos IBM Pos AMZN Pos \\\n", + "Date \n", + "2016-12-23 653264.617079 377469.015679 407359.955612 424839.412389 \n", + "2016-12-27 657413.396830 379323.596496 408410.671112 430877.506563 \n", + "2016-12-28 654610.167268 376108.989746 406089.322915 431285.259454 \n", + "2016-12-29 654441.973495 376603.544631 407091.167926 427386.471541 \n", + "2016-12-30 649340.095692 373636.215323 405600.618032 418851.589119 \n", + "\n", + " Total Pos \n", + "Date \n", + "2016-12-23 1.862933e+06 \n", + "2016-12-27 1.876025e+06 \n", + "2016-12-28 1.868094e+06 \n", + "2016-12-29 1.865523e+06 \n", + "2016-12-30 1.847429e+06 " + ] + }, + "execution_count": 23, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "portfolio_val.tail()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Portfolio Statistics\n", + "### Daily Returns" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "portfolio_val['Daily Return'] = portfolio_val['Total Pos'].pct_change(1)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Cumulative Return" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Our return 84.74285181665459 was percent!\n" + ] + } + ], + "source": [ + "cum_ret = 100 * (portfolio_val['Total Pos'][-1]/portfolio_val['Total Pos'][0] -1 )\n", + "print('Our return {} was percent!'.format(cum_ret))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Avg Daily Return" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.0005442330716215298" + ] + }, + "execution_count": 26, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "portfolio_val['Daily Return'].mean()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Std Daily Return" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.010568287769162561" + ] + }, + "execution_count": 27, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "portfolio_val['Daily Return'].std()" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 28, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "portfolio_val['Daily Return'].plot(kind='kde')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Sharpe Ratio\n", + "\n", + "The Sharpe Ratio is a measure for calculating risk-adjusted return, and this ratio has become the industry standard for such calculations. \n", + "\n", + "Sharpe ratio = (Mean portfolio return − Risk-free rate)/Standard deviation of portfolio return\n", + "\n", + "The original Sharpe Ratio\n", + "\n", + "Annualized Sharpe Ratio = K-value * SR\n", + "\n", + "K-values for various sampling rates:\n", + "\n", + "* Daily = sqrt(252)\n", + "* Weekly = sqrt(52)\n", + "* Monthly = sqrt(12)\n", + "\n", + "Since I'm based in the USA, I will use a very low risk-free rate (the rate you would get if you just put your money in a bank, its currently very low in the USA, let's just say its ~0% return). If you are in a different country with higher rates for your trading currency, you can use this trick to convert a yearly rate with a daily rate:\n", + "\n", + "daily_rate = ((1.0 + yearly_rate)**(1/252))-1\n", + "\n", + "Other values people use are things like the 3-month treasury bill or [LIBOR](http://www.investopedia.com/terms/l/libor.asp).\n", + "\n", + "Read more: Sharpe Ratio http://www.investopedia.com/terms/s/sharperatio" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "SR = portfolio_val['Daily Return'].mean()/portfolio_val['Daily Return'].std()" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.05149680662647732" + ] + }, + "execution_count": 30, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "SR" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "ASR = (252**0.5)*SR" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.8174864618858524" + ] + }, + "execution_count": 32, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "ASR" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.010568287769162561" + ] + }, + "execution_count": 33, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "portfolio_val['Daily Return'].std()" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.0005442330716215298" + ] + }, + "execution_count": 34, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "portfolio_val['Daily Return'].mean()" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 35, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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YGgRqTdIgUGvesxM5StZuwoEYm+11VPbsIdpfbl+3EMDIqwgEDcGBDFvKs7iu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\n+ZwGgVJK+ZwGgVJK+dz/ByeGYKkYu7p7AAAAAElFTkSuQmCC\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "aapl['Adj. Close'].pct_change(1).plot('kde')\n", + "ibm['Adj. Close'].pct_change(1).plot('kde')\n", + "amzn['Adj. Close'].pct_change(1).plot('kde')\n", + "cisco['Adj. Close'].pct_change(1).plot('kde')" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "12.699606293110037" + ] + }, + "execution_count": 37, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "import numpy as np\n", + "np.sqrt(252)* (np.mean(.001-0.0002)/.001)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Great Job!" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.6.1" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/09-Python-Finance-Fondamentaux/.ipynb_checkpoints/02-Optimisation-Portfolio-checkpoint.ipynb b/09-Python-Finance-Fondamentaux/.ipynb_checkpoints/02-Optimisation-Portfolio-checkpoint.ipynb new file mode 100644 index 0000000..7da50bf --- /dev/null +++ b/09-Python-Finance-Fondamentaux/.ipynb_checkpoints/02-Optimisation-Portfolio-checkpoint.ipynb @@ -0,0 +1,1841 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Portfolio Optimization" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "“Modern Portfolio Theory (MPT), a hypothesis put forth by Harry Markowitz in his paper “Portfolio Selection,” (published in 1952 by the Journal of Finance) is an investment theory based on the idea that risk-averse investors can construct portfolios to optimize or maximize expected return based on a given level of market risk, emphasizing that risk is an inherent part of higher reward. It is one of the most important and influential economic theories dealing with finance and investment." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Monte Carlo Simulation for Optimization Search\n", + "\n", + "\n", + "We could randomly try to find the optimal portfolio balance using Monte Carlo simulation" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "import numpy as np\n", + "import pandas as pd\n", + "import matplotlib.pyplot as plt\n", + "%matplotlib inline" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# Download and get Daily Returns\n", + "aapl = pd.read_csv('AAPL_CLOSE',index_col='Date',parse_dates=True)\n", + "cisco = pd.read_csv('CISCO_CLOSE',index_col='Date',parse_dates=True)\n", + "ibm = pd.read_csv('IBM_CLOSE',index_col='Date',parse_dates=True)\n", + "amzn = pd.read_csv('AMZN_CLOSE',index_col='Date',parse_dates=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "stocks = pd.concat([aapl,cisco,ibm,amzn],axis=1)\n", + "stocks.columns = ['aapl','cisco','ibm','amzn']" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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aaplciscoibmamzn
Date
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2012-01-0453.34838616.057180160.174781177.51
2012-01-0553.94065815.997991159.415086177.61
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" + ], + "text/plain": [ + " aapl cisco ibm amzn\n", + "Date \n", + "2012-01-03 53.063218 15.752778 160.830881 179.03\n", + "2012-01-04 53.348386 16.057180 160.174781 177.51\n", + "2012-01-05 53.940658 15.997991 159.415086 177.61\n", + "2012-01-06 54.504543 15.938801 157.584912 182.61\n", + "2012-01-09 54.418089 16.040268 156.764786 178.56" + ] + }, + "execution_count": 24, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "stocks.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "aapl 0.000750\n", + "cisco 0.000599\n", + "ibm 0.000081\n", + "amzn 0.001328\n", + "dtype: float64" + ] + }, + "execution_count": 25, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "mean_daily_ret = stocks.pct_change(1).mean()\n", + "mean_daily_ret" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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aaplciscoibmamzn
aapl1.0000000.3019900.2974980.235487
cisco0.3019901.0000000.4246720.284470
ibm0.2974980.4246721.0000000.258492
amzn0.2354870.2844700.2584921.000000
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" + ], + "text/plain": [ + " aapl cisco ibm amzn\n", + "aapl 1.000000 0.301990 0.297498 0.235487\n", + "cisco 0.301990 1.000000 0.424672 0.284470\n", + "ibm 0.297498 0.424672 1.000000 0.258492\n", + "amzn 0.235487 0.284470 0.258492 1.000000" + ] + }, + "execution_count": 26, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "stocks.pct_change(1).corr()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Simulating Thousands of Possible Allocations" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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aaplciscoibmamzn
Date
2012-01-0353.06321815.752778160.830881179.03
2012-01-0453.34838616.057180160.174781177.51
2012-01-0553.94065815.997991159.415086177.61
2012-01-0654.50454315.938801157.584912182.61
2012-01-0954.41808916.040268156.764786178.56
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" + ], + "text/plain": [ + " aapl cisco ibm amzn\n", + "Date \n", + "2012-01-03 53.063218 15.752778 160.830881 179.03\n", + "2012-01-04 53.348386 16.057180 160.174781 177.51\n", + "2012-01-05 53.940658 15.997991 159.415086 177.61\n", + "2012-01-06 54.504543 15.938801 157.584912 182.61\n", + "2012-01-09 54.418089 16.040268 156.764786 178.56" + ] + }, + "execution_count": 27, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "stocks.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 28, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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VurcCsVLKfCHEKGAx0MHNHJOByQCx6g9FoahXjk3R3Cpd9uw+7ThrQQEZc+YA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\nMbrxaBpVbMSMPTMwmox83ONjmvg3YV3EOoK8gjA4GGhUMf+Ag9TMVF7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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "stock_normed = stocks/stocks.iloc[0]\n", + "stock_normed.plot()" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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aaplciscoibmamzn
Date
2012-01-03NaNNaNNaNNaN
2012-01-040.0053740.019324-0.004079-0.008490
2012-01-050.011102-0.003686-0.0047430.000563
2012-01-060.010454-0.003700-0.0114810.028152
2012-01-09-0.0015860.006366-0.005204-0.022178
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" + ], + "text/plain": [ + " aapl cisco ibm amzn\n", + "Date \n", + "2012-01-03 NaN NaN NaN NaN\n", + "2012-01-04 0.005374 0.019324 -0.004079 -0.008490\n", + "2012-01-05 0.011102 -0.003686 -0.004743 0.000563\n", + "2012-01-06 0.010454 -0.003700 -0.011481 0.028152\n", + "2012-01-09 -0.001586 0.006366 -0.005204 -0.022178" + ] + }, + "execution_count": 29, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "stock_daily_ret = stocks.pct_change(1)\n", + "stock_daily_ret.head()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Log Returns vs Arithmetic Returns\n", + "\n", + "We will now switch over to using log returns instead of arithmetic returns, for many of our use cases they are almost the same,but most technical analyses require detrending/normalizing the time series and using log returns is a nice way to do that.\n", + "Log returns are convenient to work with in many of the algorithms we will encounter.\n", + "\n", + "For a full analysis of why we use log returns, check [this great article](https://quantivity.wordpress.com/2011/02/21/why-log-returns/).\n" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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aaplciscoibmamzn
Date
2012-01-03NaNNaNNaNNaN
2012-01-040.0053600.019139-0.004088-0.008526
2012-01-050.011041-0.003693-0.0047540.000563
2012-01-060.010400-0.003707-0.0115470.027763
2012-01-09-0.0015870.006346-0.005218-0.022428
\n", + "
" + ], + "text/plain": [ + " aapl cisco ibm amzn\n", + "Date \n", + "2012-01-03 NaN NaN NaN NaN\n", + "2012-01-04 0.005360 0.019139 -0.004088 -0.008526\n", + "2012-01-05 0.011041 -0.003693 -0.004754 0.000563\n", + "2012-01-06 0.010400 -0.003707 -0.011547 0.027763\n", + "2012-01-09 -0.001587 0.006346 -0.005218 -0.022428" + ] + }, + "execution_count": 30, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "log_ret = np.log(stocks/stocks.shift(1))\n", + "log_ret.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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HAx8FfoLeD4w3JLkKuB+4bILxSZLmiAmWJGmuVdWHgOV1Fl0y7lgkSfPPBEvSSKxtpZIk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\npBlggiV16wHg7yQ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" + ], + "text/plain": [ + " count mean std min 25% 50% 75% \\\n", + "aapl 1257.0 0.000614 0.016466 -0.131875 -0.007358 0.000455 0.009724 \n", + "cisco 1257.0 0.000497 0.014279 -0.116091 -0.006240 0.000213 0.007634 \n", + "ibm 1257.0 0.000011 0.011819 -0.086419 -0.005873 0.000049 0.006477 \n", + "amzn 1257.0 0.001139 0.019362 -0.116503 -0.008534 0.000563 0.011407 \n", + "\n", + " max \n", + "aapl 0.085022 \n", + "cisco 0.118862 \n", + "ibm 0.049130 \n", + "amzn 0.146225 " + ] + }, + "execution_count": 32, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "log_ret.describe().transpose()" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "aapl 0.154803\n", + "cisco 0.125291\n", + "ibm 0.002788\n", + "amzn 0.287153\n", + "dtype: float64" + ] + }, + "execution_count": 33, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "log_ret.mean() * 252" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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aaplciscoibmamzn
aapl0.0002710.0000710.0000570.000075
cisco0.0000710.0002040.0000720.000079
ibm0.0000570.0000720.0001400.000059
amzn0.0000750.0000790.0000590.000375
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" + ], + "text/plain": [ + " aapl cisco ibm amzn\n", + "aapl 0.000271 0.000071 0.000057 0.000075\n", + "cisco 0.000071 0.000204 0.000072 0.000079\n", + "ibm 0.000057 0.000072 0.000140 0.000059\n", + "amzn 0.000075 0.000079 0.000059 0.000375" + ] + }, + "execution_count": 34, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Compute pairwise covariance of columns\n", + "log_ret.cov()" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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aaplciscoibmamzn
aapl0.0683260.0178540.0144640.018986
cisco0.0178540.0513810.0180290.019956
ibm0.0144640.0180290.0352030.014939
amzn0.0189860.0199560.0149390.094470
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" + ], + "text/plain": [ + " aapl cisco ibm amzn\n", + "aapl 0.068326 0.017854 0.014464 0.018986\n", + "cisco 0.017854 0.051381 0.018029 0.019956\n", + "ibm 0.014464 0.018029 0.035203 0.014939\n", + "amzn 0.018986 0.019956 0.014939 0.094470" + ] + }, + "execution_count": 35, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "log_ret.cov()*252 # multiply by days" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Single Run for Some Random Allocation" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Stocks\n", + "Index(['aapl', 'cisco', 'ibm', 'amzn'], dtype='object')\n", + "\n", + "\n", + "Creating Random Weights\n", + "[ 0.51639863 0.57066759 0.02847423 0.17152166]\n", + "\n", + "\n", + "Rebalance to sum to 1.0\n", + "[ 0.40122278 0.44338777 0.02212343 0.13326603]\n", + "\n", + "\n", + "Expected Portfolio Return\n", + "0.15599272049632004\n", + "\n", + "\n", + "Expected Volatility\n", + "0.185026495659\n", + "\n", + "\n", + "Sharpe Ratio\n", + "0.843083148393\n" + ] + } + ], + "source": [ + "# Set seed (optional)\n", + "np.random.seed(101)\n", + "\n", + "# Stock Columns\n", + "print('Stocks')\n", + "print(stocks.columns)\n", + "print('\\n')\n", + "\n", + "# Create Random Weights\n", + "print('Creating Random Weights')\n", + "weights = np.array(np.random.random(4))\n", + "print(weights)\n", + "print('\\n')\n", + "\n", + "# Rebalance Weights\n", + "print('Rebalance to sum to 1.0')\n", + "weights = weights / np.sum(weights)\n", + "print(weights)\n", + "print('\\n')\n", + "\n", + "# Expected Return\n", + "print('Expected Portfolio Return')\n", + "exp_ret = np.sum(log_ret.mean() * weights) *252\n", + "print(exp_ret)\n", + "print('\\n')\n", + "\n", + "# Expected Variance\n", + "print('Expected Volatility')\n", + "exp_vol = np.sqrt(np.dot(weights.T, np.dot(log_ret.cov() * 252, weights)))\n", + "print(exp_vol)\n", + "print('\\n')\n", + "\n", + "# Sharpe Ratio\n", + "SR = exp_ret/exp_vol\n", + "print('Sharpe Ratio')\n", + "print(SR)\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Great! Now we can just run this many times over!" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "num_ports = 15000\n", + "\n", + "all_weights = np.zeros((num_ports,len(stocks.columns)))\n", + "ret_arr = np.zeros(num_ports)\n", + "vol_arr = np.zeros(num_ports)\n", + "sharpe_arr = np.zeros(num_ports)\n", + "\n", + "for ind in range(num_ports):\n", + "\n", + " # Create Random Weights\n", + " weights = np.array(np.random.random(4))\n", + "\n", + " # Rebalance Weights\n", + " weights = weights / np.sum(weights)\n", + " \n", + " # Save Weights\n", + " all_weights[ind,:] = weights\n", + "\n", + " # Expected Return\n", + " ret_arr[ind] = np.sum((log_ret.mean() * weights) *252)\n", + "\n", + " # Expected Variance\n", + " vol_arr[ind] = np.sqrt(np.dot(weights.T, np.dot(log_ret.cov() * 252, weights)))\n", + "\n", + " # Sharpe Ratio\n", + " sharpe_arr[ind] = ret_arr[ind]/vol_arr[ind]" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "1.0303260551271067" + ] + }, + "execution_count": 38, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "sharpe_arr.max()" + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "1419" + ] + }, + "execution_count": 39, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "sharpe_arr.argmax()" + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 0.26188068, 0.20759516, 0.00110226, 0.5294219 ])" + ] + }, + "execution_count": 40, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "all_weights[1419,:]" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "max_sr_ret = ret_arr[1419]\n", + "max_sr_vol = vol_arr[1419]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Plotting the data" + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 42, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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0Jujwb6DyFygtRQae3+S1nWik92B04Rmw5ivgatQ/EQnS+qkFCEJY/iGksBOd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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(12,8))\n", + "plt.scatter(vol_arr,ret_arr,c=sharpe_arr,cmap='plasma')\n", + "plt.colorbar(label='Sharpe Ratio')\n", + "plt.xlabel('Volatility')\n", + "plt.ylabel('Return')\n", + "\n", + "# Add red dot for max SR\n", + "plt.scatter(max_sr_vol,max_sr_ret,c='red',s=50,edgecolors='black')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Mathematical Optimization\n", + "\n", + "There are much better ways to find good allocation weights than just guess and check! We can use optimization functions to find the ideal weights mathematically!" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Functionalize Return and SR operations" + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "def get_ret_vol_sr(weights):\n", + " \"\"\"\n", + " Takes in weights, returns array or return,volatility, sharpe ratio\n", + " \"\"\"\n", + " weights = np.array(weights)\n", + " ret = np.sum(log_ret.mean() * weights) * 252\n", + " vol = np.sqrt(np.dot(weights.T, np.dot(log_ret.cov() * 252, weights)))\n", + " sr = ret/vol\n", + " return np.array([ret,vol,sr])" + ] + }, + { + "cell_type": "code", + "execution_count": 44, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "from scipy.optimize import minimize" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "To fully understand all the parameters, check out:\n", + "https://docs.scipy.org/doc/scipy/reference/generated/scipy.optimize.minimize.html" + ] + }, + { + "cell_type": "code", + "execution_count": 45, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Help on function minimize in module scipy.optimize._minimize:\n", + "\n", + "minimize(fun, x0, args=(), method=None, jac=None, hess=None, hessp=None, bounds=None, constraints=(), tol=None, callback=None, options=None)\n", + " Minimization of scalar function of one or more variables.\n", + " \n", + " In general, the optimization problems are of the form::\n", + " \n", + " minimize f(x) subject to\n", + " \n", + " g_i(x) >= 0, i = 1,...,m\n", + " h_j(x) = 0, j = 1,...,p\n", + " \n", + " where x is a vector of one or more variables.\n", + " ``g_i(x)`` are the inequality constraints.\n", + " ``h_j(x)`` are the equality constrains.\n", + " \n", + " Optionally, the lower and upper bounds for each element in x can also be\n", + " specified using the `bounds` argument.\n", + " \n", + " Parameters\n", + " ----------\n", + " fun : callable\n", + " Objective function.\n", + " x0 : ndarray\n", + " Initial guess.\n", + " args : tuple, optional\n", + " Extra arguments passed to the objective function and its\n", + " derivatives (Jacobian, Hessian).\n", + " method : str or callable, optional\n", + " Type of solver. Should be one of\n", + " \n", + " - 'Nelder-Mead' :ref:`(see here) `\n", + " - 'Powell' :ref:`(see here) `\n", + " - 'CG' :ref:`(see here) `\n", + " - 'BFGS' :ref:`(see here) `\n", + " - 'Newton-CG' :ref:`(see here) `\n", + " - 'L-BFGS-B' :ref:`(see here) `\n", + " - 'TNC' :ref:`(see here) `\n", + " - 'COBYLA' :ref:`(see here) `\n", + " - 'SLSQP' :ref:`(see here) `\n", + " - 'dogleg' :ref:`(see here) `\n", + " - 'trust-ncg' :ref:`(see here) `\n", + " - custom - a callable object (added in version 0.14.0),\n", + " see below for description.\n", + " \n", + " If not given, chosen to be one of ``BFGS``, ``L-BFGS-B``, ``SLSQP``,\n", + " depending if the problem has constraints or bounds.\n", + " jac : bool or callable, optional\n", + " Jacobian (gradient) of objective function. Only for CG, BFGS,\n", + " Newton-CG, L-BFGS-B, TNC, SLSQP, dogleg, trust-ncg.\n", + " If `jac` is a Boolean and is True, `fun` is assumed to return the\n", + " gradient along with the objective function. If False, the\n", + " gradient will be estimated numerically.\n", + " `jac` can also be a callable returning the gradient of the\n", + " objective. In this case, it must accept the same arguments as `fun`.\n", + " hess, hessp : callable, optional\n", + " Hessian (matrix of second-order derivatives) of objective function or\n", + " Hessian of objective function times an arbitrary vector p. Only for\n", + " Newton-CG, dogleg, trust-ncg.\n", + " Only one of `hessp` or `hess` needs to be given. If `hess` is\n", + " provided, then `hessp` will be ignored. If neither `hess` nor\n", + " `hessp` is provided, then the Hessian product will be approximated\n", + " using finite differences on `jac`. `hessp` must compute the Hessian\n", + " times an arbitrary vector.\n", + " bounds : sequence, optional\n", + " Bounds for variables (only for L-BFGS-B, TNC and SLSQP).\n", + " ``(min, max)`` pairs for each element in ``x``, defining\n", + " the bounds on that parameter. Use None for one of ``min`` or\n", + " ``max`` when there is no bound in that direction.\n", + " constraints : dict or sequence of dict, optional\n", + " Constraints definition (only for COBYLA and SLSQP).\n", + " Each constraint is defined in a dictionary with fields:\n", + " \n", + " type : str\n", + " Constraint type: 'eq' for equality, 'ineq' for inequality.\n", + " fun : callable\n", + " The function defining the constraint.\n", + " jac : callable, optional\n", + " The Jacobian of `fun` (only for SLSQP).\n", + " args : sequence, optional\n", + " Extra arguments to be passed to the function and Jacobian.\n", + " \n", + " Equality constraint means that the constraint function result is to\n", + " be zero whereas inequality means that it is to be non-negative.\n", + " Note that COBYLA only supports inequality constraints.\n", + " tol : float, optional\n", + " Tolerance for termination. For detailed control, use solver-specific\n", + " options.\n", + " options : dict, optional\n", + " A dictionary of solver options. All methods accept the following\n", + " generic options:\n", + " \n", + " maxiter : int\n", + " Maximum number of iterations to perform.\n", + " disp : bool\n", + " Set to True to print convergence messages.\n", + " \n", + " For method-specific options, see :func:`show_options()`.\n", + " callback : callable, optional\n", + " Called after each iteration, as ``callback(xk)``, where ``xk`` is the\n", + " current parameter vector.\n", + " \n", + " Returns\n", + " -------\n", + " res : OptimizeResult\n", + " The optimization result represented as a ``OptimizeResult`` object.\n", + " Important attributes are: ``x`` the solution array, ``success`` a\n", + " Boolean flag indicating if the optimizer exited successfully and\n", + " ``message`` which describes the cause of the termination. See\n", + " `OptimizeResult` for a description of other attributes.\n", + " \n", + " \n", + " See also\n", + " --------\n", + " minimize_scalar : Interface to minimization algorithms for scalar\n", + " univariate functions\n", + " show_options : Additional options accepted by the solvers\n", + " \n", + " Notes\n", + " -----\n", + " This section describes the available solvers that can be selected by the\n", + " 'method' parameter. The default method is *BFGS*.\n", + " \n", + " **Unconstrained minimization**\n", + " \n", + " Method :ref:`Nelder-Mead ` uses the\n", + " Simplex algorithm [1]_, [2]_. This algorithm is robust in many\n", + " applications. However, if numerical computation of derivative can be\n", + " trusted, other algorithms using the first and/or second derivatives\n", + " information might be preferred for their better performance in\n", + " general.\n", + " \n", + " Method :ref:`Powell ` is a modification\n", + " of Powell's method [3]_, [4]_ which is a conjugate direction\n", + " method. It performs sequential one-dimensional minimizations along\n", + " each vector of the directions set (`direc` field in `options` and\n", + " `info`), which is updated at each iteration of the main\n", + " minimization loop. The function need not be differentiable, and no\n", + " derivatives are taken.\n", + " \n", + " Method :ref:`CG ` uses a nonlinear conjugate\n", + " gradient algorithm by Polak and Ribiere, a variant of the\n", + " Fletcher-Reeves method described in [5]_ pp. 120-122. Only the\n", + " first derivatives are used.\n", + " \n", + " Method :ref:`BFGS ` uses the quasi-Newton\n", + " method of Broyden, Fletcher, Goldfarb, and Shanno (BFGS) [5]_\n", + " pp. 136. It uses the first derivatives only. BFGS has proven good\n", + " performance even for non-smooth optimizations. This method also\n", + " returns an approximation of the Hessian inverse, stored as\n", + " `hess_inv` in the OptimizeResult object.\n", + " \n", + " Method :ref:`Newton-CG ` uses a\n", + " Newton-CG algorithm [5]_ pp. 168 (also known as the truncated\n", + " Newton method). It uses a CG method to the compute the search\n", + " direction. See also *TNC* method for a box-constrained\n", + " minimization with a similar algorithm.\n", + " \n", + " Method :ref:`dogleg ` uses the dog-leg\n", + " trust-region algorithm [5]_ for unconstrained minimization. This\n", + " algorithm requires the gradient and Hessian; furthermore the\n", + " Hessian is required to be positive definite.\n", + " \n", + " Method :ref:`trust-ncg ` uses the\n", + " Newton conjugate gradient trust-region algorithm [5]_ for\n", + " unconstrained minimization. This algorithm requires the gradient\n", + " and either the Hessian or a function that computes the product of\n", + " the Hessian with a given vector.\n", + " \n", + " **Constrained minimization**\n", + " \n", + " Method :ref:`L-BFGS-B ` uses the L-BFGS-B\n", + " algorithm [6]_, [7]_ for bound constrained minimization.\n", + " \n", + " Method :ref:`TNC ` uses a truncated Newton\n", + " algorithm [5]_, [8]_ to minimize a function with variables subject\n", + " to bounds. This algorithm uses gradient information; it is also\n", + " called Newton Conjugate-Gradient. It differs from the *Newton-CG*\n", + " method described above as it wraps a C implementation and allows\n", + " each variable to be given upper and lower bounds.\n", + " \n", + " Method :ref:`COBYLA ` uses the\n", + " Constrained Optimization BY Linear Approximation (COBYLA) method\n", + " [9]_, [10]_, [11]_. The algorithm is based on linear\n", + " approximations to the objective function and each constraint. The\n", + " method wraps a FORTRAN implementation of the algorithm. The\n", + " constraints functions 'fun' may return either a single number\n", + " or an array or list of numbers.\n", + " \n", + " Method :ref:`SLSQP ` uses Sequential\n", + " Least SQuares Programming to minimize a function of several\n", + " variables with any combination of bounds, equality and inequality\n", + " constraints. The method wraps the SLSQP Optimization subroutine\n", + " originally implemented by Dieter Kraft [12]_. Note that the\n", + " wrapper handles infinite values in bounds by converting them into\n", + " large floating values.\n", + " \n", + " **Custom minimizers**\n", + " \n", + " It may be useful to pass a custom minimization method, for example\n", + " when using a frontend to this method such as `scipy.optimize.basinhopping`\n", + " or a different library. You can simply pass a callable as the ``method``\n", + " parameter.\n", + " \n", + " The callable is called as ``method(fun, x0, args, **kwargs, **options)``\n", + " where ``kwargs`` corresponds to any other parameters passed to `minimize`\n", + " (such as `callback`, `hess`, etc.), except the `options` dict, which has\n", + " its contents also passed as `method` parameters pair by pair. Also, if\n", + " `jac` has been passed as a bool type, `jac` and `fun` are mangled so that\n", + " `fun` returns just the function values and `jac` is converted to a function\n", + " returning the Jacobian. The method shall return an ``OptimizeResult``\n", + " object.\n", + " \n", + " The provided `method` callable must be able to accept (and possibly ignore)\n", + " arbitrary parameters; the set of parameters accepted by `minimize` may\n", + " expand in future versions and then these parameters will be passed to\n", + " the method. You can find an example in the scipy.optimize tutorial.\n", + " \n", + " .. versionadded:: 0.11.0\n", + " \n", + " References\n", + " ----------\n", + " .. [1] Nelder, J A, and R Mead. 1965. A Simplex Method for Function\n", + " Minimization. The Computer Journal 7: 308-13.\n", + " .. [2] Wright M H. 1996. Direct search methods: Once scorned, now\n", + " respectable, in Numerical Analysis 1995: Proceedings of the 1995\n", + " Dundee Biennial Conference in Numerical Analysis (Eds. D F\n", + " Griffiths and G A Watson). Addison Wesley Longman, Harlow, UK.\n", + " 191-208.\n", + " .. [3] Powell, M J D. 1964. An efficient method for finding the minimum of\n", + " a function of several variables without calculating derivatives. The\n", + " Computer Journal 7: 155-162.\n", + " .. [4] Press W, S A Teukolsky, W T Vetterling and B P Flannery.\n", + " Numerical Recipes (any edition), Cambridge University Press.\n", + " .. [5] Nocedal, J, and S J Wright. 2006. Numerical Optimization.\n", + " Springer New York.\n", + " .. [6] Byrd, R H and P Lu and J. Nocedal. 1995. A Limited Memory\n", + " Algorithm for Bound Constrained Optimization. SIAM Journal on\n", + " Scientific and Statistical Computing 16 (5): 1190-1208.\n", + " .. [7] Zhu, C and R H Byrd and J Nocedal. 1997. L-BFGS-B: Algorithm\n", + " 778: L-BFGS-B, FORTRAN routines for large scale bound constrained\n", + " optimization. ACM Transactions on Mathematical Software 23 (4):\n", + " 550-560.\n", + " .. [8] Nash, S G. Newton-Type Minimization Via the Lanczos Method.\n", + " 1984. SIAM Journal of Numerical Analysis 21: 770-778.\n", + " .. [9] Powell, M J D. A direct search optimization method that models\n", + " the objective and constraint functions by linear interpolation.\n", + " 1994. Advances in Optimization and Numerical Analysis, eds. S. Gomez\n", + " and J-P Hennart, Kluwer Academic (Dordrecht), 51-67.\n", + " .. [10] Powell M J D. Direct search algorithms for optimization\n", + " calculations. 1998. Acta Numerica 7: 287-336.\n", + " .. [11] Powell M J D. A view of algorithms for optimization without\n", + " derivatives. 2007.Cambridge University Technical Report DAMTP\n", + " 2007/NA03\n", + " .. [12] Kraft, D. A software package for sequential quadratic\n", + " programming. 1988. Tech. Rep. DFVLR-FB 88-28, DLR German Aerospace\n", + " Center -- Institute for Flight Mechanics, Koln, Germany.\n", + " \n", + " Examples\n", + " --------\n", + " Let us consider the problem of minimizing the Rosenbrock function. This\n", + " function (and its respective derivatives) is implemented in `rosen`\n", + " (resp. `rosen_der`, `rosen_hess`) in the `scipy.optimize`.\n", + " \n", + " >>> from scipy.optimize import minimize, rosen, rosen_der\n", + " \n", + " A simple application of the *Nelder-Mead* method is:\n", + " \n", + " >>> x0 = [1.3, 0.7, 0.8, 1.9, 1.2]\n", + " >>> res = minimize(rosen, x0, method='Nelder-Mead', tol=1e-6)\n", + " >>> res.x\n", + " array([ 1., 1., 1., 1., 1.])\n", + " \n", + " Now using the *BFGS* algorithm, using the first derivative and a few\n", + " options:\n", + " \n", + " >>> res = minimize(rosen, x0, method='BFGS', jac=rosen_der,\n", + " ... options={'gtol': 1e-6, 'disp': True})\n", + " Optimization terminated successfully.\n", + " Current function value: 0.000000\n", + " Iterations: 26\n", + " Function evaluations: 31\n", + " Gradient evaluations: 31\n", + " >>> res.x\n", + " array([ 1., 1., 1., 1., 1.])\n", + " >>> print(res.message)\n", + " Optimization terminated successfully.\n", + " >>> res.hess_inv\n", + " array([[ 0.00749589, 0.01255155, 0.02396251, 0.04750988, 0.09495377], # may vary\n", + " [ 0.01255155, 0.02510441, 0.04794055, 0.09502834, 0.18996269],\n", + " [ 0.02396251, 0.04794055, 0.09631614, 0.19092151, 0.38165151],\n", + " [ 0.04750988, 0.09502834, 0.19092151, 0.38341252, 0.7664427 ],\n", + " [ 0.09495377, 0.18996269, 0.38165151, 0.7664427, 1.53713523]])\n", + " \n", + " \n", + " Next, consider a minimization problem with several constraints (namely\n", + " Example 16.4 from [5]_). The objective function is:\n", + " \n", + " >>> fun = lambda x: (x[0] - 1)**2 + (x[1] - 2.5)**2\n", + " \n", + " There are three constraints defined as:\n", + " \n", + " >>> cons = ({'type': 'ineq', 'fun': lambda x: x[0] - 2 * x[1] + 2},\n", + " ... {'type': 'ineq', 'fun': lambda x: -x[0] - 2 * x[1] + 6},\n", + " ... {'type': 'ineq', 'fun': lambda x: -x[0] + 2 * x[1] + 2})\n", + " \n", + " And variables must be positive, hence the following bounds:\n", + " \n", + " >>> bnds = ((0, None), (0, None))\n", + " \n", + " The optimization problem is solved using the SLSQP method as:\n", + " \n", + " >>> res = minimize(fun, (2, 0), method='SLSQP', bounds=bnds,\n", + " ... constraints=cons)\n", + " \n", + " It should converge to the theoretical solution (1.4 ,1.7).\n", + "\n" + ] + } + ], + "source": [ + "help(minimize)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Optimization works as a minimization function, since we actually want to maximize the Sharpe Ratio, we will need to turn it negative so we can minimize the negative sharpe (same as maximizing the postive sharpe)" + ] + }, + { + "cell_type": "code", + "execution_count": 46, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "def neg_sharpe(weights):\n", + " return get_ret_vol_sr(weights)[2] * -1" + ] + }, + { + "cell_type": "code", + "execution_count": 47, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# Contraints\n", + "def check_sum(weights):\n", + " '''\n", + " Returns 0 if sum of weights is 1.0\n", + " '''\n", + " return np.sum(weights) - 1" + ] + }, + { + "cell_type": "code", + "execution_count": 48, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# By convention of minimize function it should be a function that returns zero for conditions\n", + "cons = ({'type':'eq','fun': check_sum})" + ] + }, + { + "cell_type": "code", + "execution_count": 49, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# 0-1 bounds for each weight\n", + "bounds = ((0, 1), (0, 1), (0, 1), (0, 1))" + ] + }, + { + "cell_type": "code", + "execution_count": 50, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# Initial Guess (equal distribution)\n", + "init_guess = [0.25,0.25,0.25,0.25]" + ] + }, + { + "cell_type": "code", + "execution_count": 51, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# Sequential Least SQuares Programming (SLSQP).\n", + "opt_results = minimize(neg_sharpe,init_guess,method='SLSQP',bounds=bounds,constraints=cons)" + ] + }, + { + "cell_type": "code", + "execution_count": 52, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + " fun: -1.030716870334955\n", + " jac: array([ 5.64455986e-05, 4.18275595e-05, 3.39921728e-01,\n", + " -4.45097685e-05])\n", + " message: 'Optimization terminated successfully.'\n", + " nfev: 42\n", + " nit: 7\n", + " njev: 7\n", + " status: 0\n", + " success: True\n", + " x: array([ 2.66289778e-01, 2.04189819e-01, 9.24621165e-17,\n", + " 5.29520404e-01])" + ] + }, + "execution_count": 52, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "opt_results" + ] + }, + { + "cell_type": "code", + "execution_count": 53, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 2.66289778e-01, 2.04189819e-01, 9.24621165e-17,\n", + " 5.29520404e-01])" + ] + }, + "execution_count": 53, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "opt_results.x" + ] + }, + { + "cell_type": "code", + "execution_count": 54, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 0.21885915, 0.21233683, 1.03071687])" + ] + }, + "execution_count": 54, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "get_ret_vol_sr(opt_results.x)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# All Optimal Portfolios (Efficient Frontier)\n", + "\n", + "The efficient frontier is the set of optimal portfolios that offers the highest expected return for a defined level of risk or the lowest risk for a given level of expected return. Portfolios that lie below the efficient frontier are sub-optimal, because they do not provide enough return for the level of risk. Portfolios that cluster to the right of the efficient frontier are also sub-optimal, because they have a higher level of risk for the defined rate of return.\n", + "\n", + "Efficient Frontier http://www.investopedia.com/terms/e/efficientfrontier" + ] + }, + { + "cell_type": "code", + "execution_count": 55, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# Our returns go from 0 to somewhere along 0.3\n", + "# Create a linspace number of points to calculate x on\n", + "frontier_y = np.linspace(0,0.3,100) # Change 100 to a lower number for slower computers!" + ] + }, + { + "cell_type": "code", + "execution_count": 56, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "def minimize_volatility(weights):\n", + " return get_ret_vol_sr(weights)[1] " + ] + }, + { + "cell_type": "code", + "execution_count": 57, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "frontier_volatility = []\n", + "\n", + "for possible_return in frontier_y:\n", + " # function for return\n", + " cons = ({'type':'eq','fun': check_sum},\n", + " {'type':'eq','fun': lambda w: get_ret_vol_sr(w)[0] - possible_return})\n", + " \n", + " result = minimize(minimize_volatility,init_guess,method='SLSQP',bounds=bounds,constraints=cons)\n", + " \n", + " frontier_volatility.append(result['fun'])" + ] + }, + { + "cell_type": "code", + "execution_count": 58, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 58, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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DY0bEufzwGi6bWs346rB+qhRuFFVAFSep4KdRnsXjmS7nyRXk9wE3hjh1xIc8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\nujxezWLVB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2hv3UlzwWwWv/oSRp66FoCx+zaz4RMuPaEsnO/635/njC++i6jv4FtjBQKB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\n93t3EFXlVdx12l1cuO+FPDznIU67YDoVlbEW57nDzhP6trg10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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(12,8))\n", + "plt.scatter(vol_arr,ret_arr,c=sharpe_arr,cmap='plasma')\n", + "plt.colorbar(label='Sharpe Ratio')\n", + "plt.xlabel('Volatility')\n", + "plt.ylabel('Return')\n", + "\n", + "\n", + "\n", + "# Add frontier line\n", + "plt.plot(frontier_volatility,frontier_y,'g--',linewidth=3)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Great Job!" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.6.1" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/09-Python-Finance-Fondamentaux/.ipynb_checkpoints/03-CAPM-Capital-Asset-Pricing-Model-checkpoint.ipynb b/09-Python-Finance-Fondamentaux/.ipynb_checkpoints/03-CAPM-Capital-Asset-Pricing-Model-checkpoint.ipynb new file mode 100644 index 0000000..cf135e0 --- /dev/null +++ b/09-Python-Finance-Fondamentaux/.ipynb_checkpoints/03-CAPM-Capital-Asset-Pricing-Model-checkpoint.ipynb @@ -0,0 +1,935 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# CAPM - Capital Asset Pricing Model \n", + "\n", + "Watch the video for the full overview.\n", + "\n", + "Portfolio Returns:" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## $r_p(t) = \\sum\\limits_{i}^{n}w_i r_i(t)$" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Market Weights:" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## $ w_i = \\frac{MarketCap_i}{\\sum_{j}^{n}{MarketCap_j}} $\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### CAPM of a portfolio" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\n", + "## $ r_p(t) = \\beta_pr_m(t) + \\sum\\limits_{i}^{n}w_i \\alpha_i(t)$" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# Model CAPM as a simple linear regression" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "from scipy import stats" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Help on function linregress in module scipy.stats._stats_mstats_common:\n", + "\n", + "linregress(x, y=None)\n", + " Calculate a linear least-squares regression for two sets of measurements.\n", + " \n", + " Parameters\n", + " ----------\n", + " x, y : array_like\n", + " Two sets of measurements. Both arrays should have the same length.\n", + " If only x is given (and y=None), then it must be a two-dimensional\n", + " array where one dimension has length 2. The two sets of measurements\n", + " are then found by splitting the array along the length-2 dimension.\n", + " \n", + " Returns\n", + " -------\n", + " slope : float\n", + " slope of the regression line\n", + " intercept : float\n", + " intercept of the regression line\n", + " rvalue : float\n", + " correlation coefficient\n", + " pvalue : float\n", + " two-sided p-value for a hypothesis test whose null hypothesis is\n", + " that the slope is zero.\n", + " stderr : float\n", + " Standard error of the estimated gradient.\n", + " \n", + " See also\n", + " --------\n", + " :func:`scipy.optimize.curve_fit` : Use non-linear\n", + " least squares to fit a function to data.\n", + " :func:`scipy.optimize.leastsq` : Minimize the sum of\n", + " squares of a set of equations.\n", + " \n", + " Examples\n", + " --------\n", + " >>> import matplotlib.pyplot as plt\n", + " >>> from scipy import stats\n", + " >>> np.random.seed(12345678)\n", + " >>> x = np.random.random(10)\n", + " >>> y = np.random.random(10)\n", + " >>> slope, intercept, r_value, p_value, std_err = stats.linregress(x, y)\n", + " \n", + " To get coefficient of determination (r_squared)\n", + " \n", + " >>> print(\"r-squared:\", r_value**2)\n", + " ('r-squared:', 0.080402268539028335)\n", + " \n", + " Plot the data along with the fitted line\n", + " \n", + " >>> plt.plot(x, y, 'o', label='original data')\n", + " >>> plt.plot(x, intercept + slope*x, 'r', label='fitted line')\n", + " >>> plt.legend()\n", + " >>> plt.show()\n", + "\n" + ] + } + ], + "source": [ + "help(stats.linregress)" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "import pandas as pd" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [], + "source": [ + "import pandas_datareader as web" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [], + "source": [ + "spy_etf = web.DataReader('SPY','google')" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "DatetimeIndex: 1897 entries, 2010-01-04 to 2017-07-18\n", + "Data columns (total 5 columns):\n", + "Open 1879 non-null float64\n", + "High 1879 non-null float64\n", + "Low 1879 non-null float64\n", + "Close 1897 non-null float64\n", + "Volume 1897 non-null int64\n", + "dtypes: float64(4), int64(1)\n", + "memory usage: 88.9 KB\n" + ] + } + ], + "source": [ + "spy_etf.info()" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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OpenHighLowCloseVolume
Date
2010-01-04112.37113.39111.51113.33118944541
2010-01-05113.26113.68112.85113.63111579866
2010-01-06113.52113.99113.43113.71116074402
2010-01-07113.50114.33113.18114.19131091048
2010-01-08113.89114.62113.66114.57126402764
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" + ], + "text/plain": [ + " Open High Low Close Volume\n", + "Date \n", + "2010-01-04 112.37 113.39 111.51 113.33 118944541\n", + "2010-01-05 113.26 113.68 112.85 113.63 111579866\n", + "2010-01-06 113.52 113.99 113.43 113.71 116074402\n", + "2010-01-07 113.50 114.33 113.18 114.19 131091048\n", + "2010-01-08 113.89 114.62 113.66 114.57 126402764" + ] + }, + "execution_count": 22, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "spy_etf.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [], + "source": [ + "start = pd.to_datetime('2010-01-04')\n", + "end = pd.to_datetime('2017-07-18')" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [], + "source": [ + "aapl = web.DataReader('AAPL','google',start,end)" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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Date
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" + ], + "text/plain": [ + " Open High Low Close Volume\n", + "Date \n", + "2010-01-04 30.49 30.64 30.34 30.57 123432050\n", + "2010-01-05 30.66 30.80 30.46 30.63 150476004\n", + "2010-01-06 30.63 30.75 30.11 30.14 138039594\n", + "2010-01-07 30.25 30.29 29.86 30.08 119282324\n", + "2010-01-08 30.04 30.29 29.87 30.28 111969081" + ] + }, + "execution_count": 27, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "aapl.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "import matplotlib.pyplot as plt\n", + "%matplotlib inline" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 29, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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SAxSUChgsyyQhdQZaDy2j1aw+Cfdqudu1xARaztqARZ4uRWe9xj98DK16V+99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\n8/j5Q/ng5olNOlaqx+i31e5g3zG9yHHt/pXT+qfywiUjXfc/uW0SF43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E3TcoDvgTuAeUqpcON11mnU93rSNK0CeAcYBfxe07RzgKXAXOP6dSoNXCcL+gjyv4DvNE2bCzwI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\nSUVORK5CYII=\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "aapl['Close'].plot(label='AAPL',figsize=(10,8))\n", + "spy_etf['Close'].plot(label='SPY Index')\n", + "plt.legend()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Compare Cumulative Return" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [], + "source": [ + "aapl['Cumulative'] = aapl['Close']/aapl['Close'].iloc[0]\n", + "spy_etf['Cumulative'] = spy_etf['Close']/spy_etf['Close'].iloc[0]" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 33, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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ElLwkSUJDuyMhU3NaIXhQpqnvQdPlS74BAEweLHfUqW6Jzoo8Cvb1/nq88M0h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\nTQCAG08biXnjijEwz4JjrTb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9NuGl5GZ1uIKO6XUCORZjxN25/YMmb+uCaUPyg8713QMv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8TPDxq3l5/xHziXwoNMw+WlSQmEyAQYfHvZx0nqI+UEjmyAM589/vNSSimlVL1So0HTnaPaM6pT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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "aapl['Cumulative'].plot(label='AAPL',figsize=(10,8))\n", + "spy_etf['Cumulative'].plot(label='SPY Index')\n", + "plt.legend()\n", + "plt.title('Cumulative Return')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Get Daily Return" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "aapl['Daily Return'] = aapl['Close'].pct_change(1)\n", + "spy_etf['Daily Return'] = spy_etf['Close'].pct_change(1)" + ] + }, + { + "cell_type": "code", + "execution_count": 45, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 45, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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0dGWYTPWF56c27TTr3YgffbjClZUuUSrxHQvHMgllhpGmyCxvn9mNUn784Spp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\nj3h5vaJuzNmrdYJEEiWSbpQyVw+wTMH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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "spy_etf['Daily Return'].hist(bins=100)" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": {}, + "outputs": [], + "source": [ + "beta,alpha,r_value,p_value,std_err = stats.linregress(aapl['Daily Return'].iloc[1:],spy_etf['Daily Return'].iloc[1:])" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.19423150396392763" + ] + }, + "execution_count": 38, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "beta" + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.00026461336993233316" + ] + }, + "execution_count": 39, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "alpha" + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.33143080741409325" + ] + }, + "execution_count": 40, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "r_value" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## What if our stock was completely related to SP500?" + ] + }, + { + "cell_type": "code", + "execution_count": 49, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Date\n", + "2010-01-04 NaN\n", + "2010-01-05 0.002647\n", + "2010-01-06 0.000704\n", + "2010-01-07 0.004221\n", + "2010-01-08 0.003328\n", + "Name: Daily Return, dtype: float64" + ] + }, + "execution_count": 49, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "spy_etf['Daily Return'].head()" + ] + }, + { + "cell_type": "code", + "execution_count": 50, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "import numpy as np" + ] + }, + { + "cell_type": "code", + "execution_count": 63, + "metadata": {}, + "outputs": [], + "source": [ + "noise = np.random.normal(0,0.001,len(spy_etf['Daily Return'].iloc[1:]))" + ] + }, + { + "cell_type": "code", + "execution_count": 64, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 0.00089285, 0.00056301, -0.00022182, ..., -0.00075069,\n", + " -0.00017751, -0.00034175])" + ] + }, + "execution_count": 64, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "noise" + ] + }, + { + "cell_type": "code", + "execution_count": 65, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Date\n", + "2010-01-05 0.003540\n", + "2010-01-06 0.001267\n", + "2010-01-07 0.003999\n", + "2010-01-08 0.003744\n", + "2010-01-11 0.002430\n", + "2010-01-12 -0.008178\n", + "2010-01-13 0.006244\n", + "2010-01-14 0.003002\n", + "2010-01-15 -0.010593\n", + "2010-01-19 0.012289\n", + "2010-01-20 -0.010683\n", + "2010-01-21 -0.019239\n", + "2010-01-22 -0.022449\n", + "2010-01-25 0.003428\n", + "2010-01-26 -0.003510\n", + "2010-01-27 0.004741\n", + "2010-01-28 -0.011874\n", + "2010-01-29 -0.010649\n", + "2010-02-01 0.015995\n", + "2010-02-02 0.011317\n", + "2010-02-03 -0.006852\n", + "2010-02-04 -0.029828\n", + "2010-02-05 0.000845\n", + "2010-02-08 -0.007362\n", + "2010-02-09 0.010399\n", + "2010-02-10 -0.000745\n", + "2010-02-11 0.008745\n", + "2010-02-12 -0.001782\n", + "2010-02-16 0.016414\n", + "2010-02-17 0.003658\n", + " ... \n", + "2017-06-06 -0.001963\n", + "2017-06-07 0.003158\n", + "2017-06-08 -0.000087\n", + "2017-06-09 -0.000582\n", + "2017-06-12 -0.001564\n", + "2017-06-13 0.006079\n", + "2017-06-14 -0.002911\n", + "2017-06-15 -0.001163\n", + "2017-06-16 -0.004836\n", + "2017-06-19 0.008102\n", + "2017-06-20 -0.008464\n", + "2017-06-21 -0.000669\n", + "2017-06-22 -0.000532\n", + "2017-06-23 0.002970\n", + "2017-06-26 0.001098\n", + "2017-06-27 -0.009717\n", + "2017-06-28 0.008961\n", + "2017-06-29 -0.010516\n", + "2017-06-30 0.001965\n", + "2017-07-03 0.001218\n", + "2017-07-05 0.003210\n", + "2017-07-06 -0.008497\n", + "2017-07-07 0.005798\n", + "2017-07-10 0.000335\n", + "2017-07-11 -0.001653\n", + "2017-07-12 0.008218\n", + "2017-07-13 0.003311\n", + "2017-07-14 0.003913\n", + "2017-07-17 -0.000300\n", + "2017-07-18 0.000188\n", + "Name: Daily Return, Length: 1896, dtype: float64" + ] + }, + "execution_count": 65, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "spy_etf['Daily Return'].iloc[1:] + noise" + ] + }, + { + "cell_type": "code", + "execution_count": 66, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "beta,alpha,r_value,p_value,std_err = stats.linregress(spy_etf['Daily Return'].iloc[1:]+noise,spy_etf['Daily Return'].iloc[1:])" + ] + }, + { + "cell_type": "code", + "execution_count": 67, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.9902145894162997" + ] + }, + "execution_count": 67, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "beta" + ] + }, + { + "cell_type": "code", + "execution_count": 68, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "1.4861814214210613e-05" + ] + }, + "execution_count": 68, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "alpha" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Looks like our understanding is correct!" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.6.1" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/09-Python-Finance-Fondamentaux/01-Répartition-Portefeuille-et-Ratio-Sharpe.ipynb b/09-Python-Finance-Fondamentaux/01-Répartition-Portefeuille-et-Ratio-Sharpe.ipynb new file mode 100644 index 0000000..7d1a422 --- /dev/null +++ b/09-Python-Finance-Fondamentaux/01-Répartition-Portefeuille-et-Ratio-Sharpe.ipynb @@ -0,0 +1,1333 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Ratio de Sharpe et valeurs du portefeuille" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import pandas as pd" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "import quandl" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Creéer un Portefeuille" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "start = pd.to_datetime('2012-01-01')\n", + "end = pd.to_datetime('2017-01-01')" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "quandl.ApiConfig.api_key = \"GpVgeVazag5mR7JaB3Gn\"\n", + "# Nous avons pris un tas d'actions technologiques pour notre portefeuille\n", + "aapl = quandl.get('WIKI/AAPL.11',start_date=start,end_date=end)\n", + "cisco = quandl.get('WIKI/CSCO.11',start_date=start,end_date=end)\n", + "ibm = quandl.get('WIKI/IBM.11',start_date=start,end_date=end)\n", + "amzn = quandl.get('WIKI/AMZN.11',start_date=start,end_date=end)" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [], + "source": [ + "# Alternatives\n", + "# aapl = pd.read_csv('AAPL_CLOSE',index_col='Date',parse_dates=True)\n", + "# cisco = pd.read_csv('CISCO_CLOSE',index_col='Date',parse_dates=True)\n", + "# ibm = pd.read_csv('IBM_CLOSE',index_col='Date',parse_dates=True)\n", + "# amzn = pd.read_csv('AMZN_CLOSE',index_col='Date',parse_dates=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "aapl.to_csv('AAPL_CLOSE')\n", + "cisco.to_csv('CISCO_CLOSE')\n", + "ibm.to_csv('IBM_CLOSE')\n", + "amzn.to_csv('AMZN_CLOSE')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Normaliser les Prix\n", + "\n", + "C'est la même chose que les rendements quotidiens cumulatifs." + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "52.848786580038" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Exemple\n", + "aapl.iloc[0]['Adj. Close']" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [], + "source": [ + "for stock_df in (aapl,cisco,ibm,amzn):\n", + " stock_df['Normed Return'] = stock_df['Adj. Close']/stock_df.iloc[0]['Adj. Close']" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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Adj. CloseNormed Return
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Adj. CloseNormed Return
Date
2016-12-23115.0808082.177549
2016-12-27115.8116682.191378
2016-12-28115.3178432.182034
2016-12-29115.2882142.181473
2016-12-30114.3894542.164467
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" + ], + "text/plain": [ + " Adj. Close Normed Return\n", + "Date \n", + "2016-12-23 115.080808 2.177549\n", + "2016-12-27 115.811668 2.191378\n", + "2016-12-28 115.317843 2.182034\n", + "2016-12-29 115.288214 2.181473\n", + "2016-12-30 114.389454 2.164467" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "aapl.tail()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Répartitions\n", + "\n", + "Imaginons que nous ayons les répartitions suivantes pour l'ensemble de notre portefeuille :\n", + "\n", + "* 30% d'Apple\n", + "* 20% de Cisco\n", + "* 40% d'Amazon\n", + "* 10% d'IBM\n", + "\n", + "Faisons en sorte que ces valeurs soient reflétées en multipliant notre Rendement Standard par notre répartition" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [], + "source": [ + "for stock_df,allo in zip([aapl,cisco,amzn,ibm],[.3,.2,.4,.1]):\n", + " stock_df['Allocation'] = stock_df['Normed Return']*allo" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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Adj. CloseNormed ReturnAllocation
Date
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" + ], + "text/plain": [ + " Adj. Close Normed Return Allocation\n", + "Date \n", + "2012-01-03 52.848787 1.000000 0.300000\n", + "2012-01-04 53.132802 1.005374 0.301612\n", + "2012-01-05 53.722681 1.016536 0.304961\n", + "2012-01-06 54.284287 1.027162 0.308149\n", + "2012-01-09 54.198183 1.025533 0.307660" + ] + }, + "execution_count": 12, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "aapl.head()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Investissement\n", + "\n", + "Imaginons qu'on ait investi un million de dollars dans ce portefeuille" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [], + "source": [ + "for stock_df in [aapl,cisco,ibm,amzn]:\n", + " stock_df['Position Values'] = stock_df['Allocation']*1000000" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Valeur totale du Portefeuille" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [], + "source": [ + "portfolio_val = pd.concat([aapl['Position Values'],cisco['Position Values'],ibm['Position Values'],amzn['Position Values']],axis=1)" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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Position ValuesPosition ValuesPosition ValuesPosition Values
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AAPL PosCISCO PosIBM PosAMZN Pos
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AAPL PosCISCO PosIBM PosAMZN PosTotal Pos
Date
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" + ], + "text/plain": [ + " AAPL Pos CISCO Pos IBM Pos AMZN Pos \\\n", + "Date \n", + "2012-01-03 300000.000000 200000.000000 100000.000000 400000.000000 \n", + "2012-01-04 301612.236461 203864.734300 99592.055824 396603.921131 \n", + "2012-01-05 304960.727573 203113.258186 99119.699410 396827.347372 \n", + "2012-01-06 308148.724558 202361.782072 97981.749866 407998.659443 \n", + "2012-01-09 307659.946988 203650.026838 97471.819646 398949.896665 \n", + "\n", + " Total Pos \n", + "Date \n", + "2012-01-03 1.000000e+06 \n", + "2012-01-04 1.001673e+06 \n", + "2012-01-05 1.004021e+06 \n", + "2012-01-06 1.016491e+06 \n", + "2012-01-09 1.007732e+06 " + ] + }, + "execution_count": 19, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "portfolio_val.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [], + "source": [ + "import matplotlib.pyplot as plt\n", + "%matplotlib inline" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0.5, 1.0, 'Total Portfolio Value')" + ] + }, + "execution_count": 21, + "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": [ + "portfolio_val['Total Pos'].plot(figsize=(10,8))\n", + "plt.title('Total Portfolio Value')" + ] + }, + { + "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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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "portfolio_val.drop('Total Pos',axis=1).plot(kind='line')" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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AAPL PosCISCO PosIBM PosAMZN PosTotal Pos
Date
2016-12-23653264.617079377469.015679101839.9889031.699358e+062.831931e+06
2016-12-27657413.396830379323.596496102102.6677781.723510e+062.862350e+06
2016-12-28654610.167268376108.989746101522.3307291.725141e+062.857383e+06
2016-12-29654441.973495376603.544631101772.7919821.709546e+062.842364e+06
2016-12-30649340.095692373636.215323101400.1545081.675406e+062.799783e+06
\n", + "
" + ], + "text/plain": [ + " AAPL Pos CISCO Pos IBM Pos AMZN Pos \\\n", + "Date \n", + "2016-12-23 653264.617079 377469.015679 101839.988903 1.699358e+06 \n", + "2016-12-27 657413.396830 379323.596496 102102.667778 1.723510e+06 \n", + "2016-12-28 654610.167268 376108.989746 101522.330729 1.725141e+06 \n", + "2016-12-29 654441.973495 376603.544631 101772.791982 1.709546e+06 \n", + "2016-12-30 649340.095692 373636.215323 101400.154508 1.675406e+06 \n", + "\n", + " Total Pos \n", + "Date \n", + "2016-12-23 2.831931e+06 \n", + "2016-12-27 2.862350e+06 \n", + "2016-12-28 2.857383e+06 \n", + "2016-12-29 2.842364e+06 \n", + "2016-12-30 2.799783e+06 " + ] + }, + "execution_count": 23, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "portfolio_val.tail()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Statistiques du Portefeuille\n", + "### Rendements Quotidiens" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [], + "source": [ + "portfolio_val['Daily Return'] = portfolio_val['Total Pos'].pct_change(1)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Rendement Cumulatif" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Notre rendement était de 179.97828220000912 %!\n" + ] + } + ], + "source": [ + "cum_ret = 100 * (portfolio_val['Total Pos'][-1]/portfolio_val['Total Pos'][0] -1 )\n", + "print('Notre rendement était de {} %!'.format(cum_ret))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Rendement Quotidien Moyen" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.0009023579071769599" + ] + }, + "execution_count": 26, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "portfolio_val['Daily Return'].mean()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Ecart-Type du Rendement Quotidien" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.012896893878458078" + ] + }, + "execution_count": 27, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "portfolio_val['Daily Return'].std()" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 28, + "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": [ + "portfolio_val['Daily Return'].plot(kind='kde')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Ratio de Sharpe\n", + "\n", + "Le ratio de Sharpe est une mesure permettant de calculer le rendement ajusté en fonction du risque, et ce ratio est devenu la norme de l'industrie pour de tels calculs. \n", + "\n", + "Le ratio de Sharpe mesure la rentabilité excédentaire par rapport au taux de l'argent sans risque d'un portefeuille d'actifs divisé par l'écart type de cette rentabilité. C'est donc une mesure de la rentabilité marginale par unité de risque. Il permet de mesurer les performances de gérants pratiquant des politiques de risque différentes.\n", + "\n", + "Ratio de Sharpe = (Rendement moyen du portefeuille - Taux sans risque)/Écart type du rendement du portefeuille\n", + "\n", + "Le rapport de Sharpe original\n", + "\n", + "Ratio de Sharpe Annuel = K-value * SR\n", + "\n", + "K-values pour divers taux d'échantillonnage:\n", + "\n", + "* Daily = sqrt(252)\n", + "* Weekly = sqrt(52)\n", + "* Monthly = sqrt(12)\n", + "\n", + "Aux USA, on utilise un taux sans risque très bas (le taux que vous obtiendriez si vous placez votre argent dans une banque, il est actuellement très bas aux USA, disons juste son rendement de ~0%). Si vous êtes dans un pays différent avec des taux plus élevés pour votre devise de trading, vous pouvez utiliser cette astuce pour convertir un taux annuel avec un taux quotidien :\n", + "\n", + "daily_rate = ((1.0 + yearly_rate)**(1/252))-1\n", + "\n", + "D'autres valeurs que les gens utilisent sont des choses comme le bon du Trésor à 3 mois: [LIBOR](http://www.investopedia.com/terms/l/libor.asp) ou [WIkipédia LIBOR](https://fr.wikipedia.org/wiki/Libor)\n", + "\n", + "Plus de lectures sur le Sharpe Ratio (SR): https://educationfinance.ca/investissements/ratio-de-sharpe/" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [], + "source": [ + "SR = portfolio_val['Daily Return'].mean()/portfolio_val['Daily Return'].std()" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.0699670723571809" + ] + }, + "execution_count": 30, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "SR" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [], + "source": [ + "ASR = (252**0.5)*SR" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "1.1106928405221748" + ] + }, + "execution_count": 32, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "ASR" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.012896893878458078" + ] + }, + "execution_count": 33, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "portfolio_val['Daily Return'].std()" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.0009023579071769599" + ] + }, + "execution_count": 34, + "metadata": {}, + "output_type": "execute_result" + } + ], 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\n", 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "aapl['Adj. Close'].pct_change(1).plot(kind='kde')\n", + "ibm['Adj. Close'].pct_change(1).plot(kind='kde')\n", + "amzn['Adj. Close'].pct_change(1).plot(kind='kde')\n", + "cisco['Adj. Close'].pct_change(1).plot(kind='kde')" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "12.699606293110037" + ] + }, + "execution_count": 37, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "import numpy as np\n", + "np.sqrt(252)* (np.mean(.001-0.0002)/.001)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Bon Travail!" + ] + } + ], + "metadata": { + "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": "3.7.5" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/09-Python-Finance-Fondamentaux/02-Optimisation-Portfolio.ipynb b/09-Python-Finance-Fondamentaux/02-Optimisation-Portfolio.ipynb new file mode 100644 index 0000000..b7acc20 --- /dev/null +++ b/09-Python-Finance-Fondamentaux/02-Optimisation-Portfolio.ipynb @@ -0,0 +1,1933 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Optimisation du Portefeuille" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\"Modern Portfolio Theory\" (MPT), une hypothèse avancée par Harry Markowitz dans son article \"Portfolio Selection\" (publié en 1952 par le Journal of Finance) est une théorie de l'investissement basée sur l'idée que les investisseurs peu enclins au risque peuvent construire des portefeuilles pour optimiser ou maximiser le rendement attendu en fonction d'un niveau de risque de marché donné, en soulignant que le risque est une partie inhérente à un rendement plus élevé. Il s'agit de l'une des théories économiques les plus importantes et les plus influentes en matière de finance et d'investissement.\n", + "\n", + "[Plus d'informations sur la théorie moderne du Portefeuille](https://fr.wikipedia.org/wiki/Th%C3%A9orie_moderne_du_portefeuille)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Simulation Monte Carlo pour la recherche d'optimisation\n", + "\n", + "\n", + "Nous pourrions essayer de trouver au hasard l'équilibre optimal du portefeuille en utilisant la simulation de Monte Carlo" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import pandas as pd\n", + "import matplotlib.pyplot as plt\n", + "%matplotlib inline" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "aapl = pd.read_csv('AAPL_CLOSE',index_col='Date',parse_dates=True)\n", + "cisco = pd.read_csv('CISCO_CLOSE',index_col='Date',parse_dates=True)\n", + "ibm = pd.read_csv('IBM_CLOSE',index_col='Date',parse_dates=True)\n", + "amzn = pd.read_csv('AMZN_CLOSE',index_col='Date',parse_dates=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "stocks = pd.concat([aapl,cisco,ibm,amzn],axis=1)\n", + "stocks.columns = ['aapl','cisco','ibm','amzn']" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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aaplciscoibmamzn
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amzn0.2354870.2844700.2584921.000000
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Date
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2012-01-0453.13280215.919125156.935540177.51
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2012-01-0954.19818315.902359153.594506178.56
\n", + "
" + ], + "text/plain": [ + " aapl cisco ibm amzn\n", + "Date \n", + "2012-01-03 52.848787 15.617341 157.578371 179.03\n", + "2012-01-04 53.132802 15.919125 156.935540 177.51\n", + "2012-01-05 53.722681 15.860445 156.191208 177.61\n", + "2012-01-06 54.284287 15.801764 154.398046 182.61\n", + "2012-01-09 54.198183 15.902359 153.594506 178.56" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "stocks.head()" + ] + }, + { + "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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aaplciscoibmamzn
Date
2012-01-03NaNNaNNaNNaN
2012-01-040.0053740.019324-0.004079-0.008490
2012-01-050.011102-0.003686-0.0047430.000563
2012-01-060.010454-0.003700-0.0114810.028152
2012-01-09-0.0015860.006366-0.005204-0.022178
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" + ], + "text/plain": [ + " aapl cisco ibm amzn\n", + "Date \n", + "2012-01-03 NaN NaN NaN NaN\n", + "2012-01-04 0.005374 0.019324 -0.004079 -0.008490\n", + "2012-01-05 0.011102 -0.003686 -0.004743 0.000563\n", + "2012-01-06 0.010454 -0.003700 -0.011481 0.028152\n", + "2012-01-09 -0.001586 0.006366 -0.005204 -0.022178" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "stock_daily_ret = stocks.pct_change(1)\n", + "stock_daily_ret.head()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Rendements logarithmiques vs. Rendements arithmétiques\n", + "\n", + "Nous allons maintenant passer à l'utilisation de rendements logarithmiques au lieu de rendements arithmétiques, pour beaucoup de nos cas d'utilisation ce sont presque les mêmes, mais la plupart des analyses techniques nécessitent de normaliser les séries temporelles et l'utilisation de rendements logarithmiques est une bonne façon de le faire.\n", + "Les rendements logarithmiques sont pratiques à utiliser dans la plupart des algorithmes que nous rencontrerons.\n", + "\n", + "\n", + "Pour une analyse complète des raisons pour lesquelles nous utilisons les rendements logarithmiques, consultez [ce super article](https://quantivity.wordpress.com/2011/02/21/why-log-returns/).\n" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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aaplciscoibmamzn
Date
2012-01-03NaNNaNNaNNaN
2012-01-040.0053600.019139-0.004088-0.008526
2012-01-050.011041-0.003693-0.0047540.000563
2012-01-060.010400-0.003707-0.0115470.027763
2012-01-09-0.0015870.006346-0.005218-0.022428
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" + ], + "text/plain": [ + " aapl cisco ibm amzn\n", + "Date \n", + "2012-01-03 NaN NaN NaN NaN\n", + "2012-01-04 0.005360 0.019139 -0.004088 -0.008526\n", + "2012-01-05 0.011041 -0.003693 -0.004754 0.000563\n", + "2012-01-06 0.010400 -0.003707 -0.011547 0.027763\n", + "2012-01-09 -0.001587 0.006346 -0.005218 -0.022428" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "log_ret = np.log(stocks/stocks.shift(1))\n", + "log_ret.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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wql5XVduqajtwEfChqroY+DBwYTPbJcD1Q0cpSdKAHNVWkjQuo7jO1eX0BrfYR+8crKtG8B6SJK3X4VFtDzs8qu05wMP0RrWVJGlorZxEUVWLwGJz/x7g3DZeV9L6OEKgtDpHtZUkjdMoWq4kSZoWh0e1/XrzeN2j2kqStFGjHf5LkqQJGXZU21m6ZIhD/S+b9Vy0edmLcVxG47BZyPmsbxttMhfL2s6FxZUkqauGGtV2li4Z4lD/y2Y9F21eTmMcl9E4bBYupzHr20abzMWytnNht0BJUic5qq0kadxsuZIkbTaXA9ck+UXgoziqrSbMQYmk7rC4kiR1nqPaSpLGwW6BkiRJktQCW64kSZI0lJVdG/fvPn9CkUiTZXElaSp4YJa0WXiOldRdFleSplL/Px8WWpIkaRZ4zpUkSZIktcDiSpIkSZJaYHElSZIkSS2wuJIkSZKkFlhcSZIkSVILLK4kSZIkqQUWV5IkSZLUAosrSZIkSWqBxZUkSZIktcDiSpIkSZJasGXSAUiSJKnbtl/xgW/c37/7/AlGIo2WxZU0g/oPUpIkSZoOdguUJEmSpBZYXEmSJElSCyyuJEmSJKkFA59zleQs4J3AtwBfB/ZU1duTnAZcC2wH9gM/WlUPDx+qJEnSbPJcWWlzGGZAiyVgV1XdluRxwK1JbgQuBW6qqt1JrgCuAC4fPlRpc1l5IHZ0JUmSpOk2cLfAqjpYVbc1978I3AlsBS4Arm5muxp4+bBBSpIkSdK0a2Uo9iTbgWcANwNzVXUQegVYkicdZZmdwE6Aubk5FhcX2wilUw4dOmRehjRrOdx7/xe+cX/XjiOf61+PXTuWxhRRz9yJ43/PfrP0GR7NrG2LXWD3dU2S3QClzWno4irJycDvAz9TVX+bZF3LVdUeYA/A/Px8LSwsDBtK5ywuLmJehjPtOXz0wffoX8n9Fy984/6lYz5o79qxxJV7J3dZvP51n1XTvi12lN3XJUljNdRogUm+mV5h9a6qel8z+cEkZzbPnwk8NFyIkiRtnN3XJUnjNsxogQGuAu6sqrf2PXUDcAmwu/l7/VARSpI0pK53X7fb6bJpycUku1IfNsku3Ss/g/44JvX5TMu2MQ3MxbK2czFMP5/nAa8E9ib5WDPt9fSKqvckuQy4F3jFcCFKkjS4zdB93W6ny6YlF+Puvr2aiXbp3vulFROW45hUV+9p2TamgblY1nYuBv7GVdVHgKMdoc4b9HUlSWrLsbqvN61Wdl+XJLVmcmeoS9KAvAaY1sPu65KkcbO4kiR1ld3XJUljZXElzYjNfM2UzbzuGpzd1yVJ4zbUUOySJEmSpB5brqQxsxVGkiSpmyyuJM28/oLVwS0kTYo/nkmyW6AkSZIktcCWK0mdZquWJEkaF1uuJEmSJKkFFleSJEmS1AK7BUoj5gnOkiRJm4MtV5IkSZLUAluuJEmS1slBciQdiy1XkiRJktQCW64kdYrnuEkaF/c37bA1UF1icSVJkja1lUWS/+BLGpTdAiVJkiSpBbZcSS2wa8hs8NdpSethN7XR2sgx089Cs8aWK0mSJElqgS1XkjatY/0i6q+lkiRpoyyuJEmSNBXsZq9ZZ3GlTW3Qc3Dc+UvS5uD+fnp43qxmgcWVtE4eYLttFJ9v/2vu2rHEwgbe338aJEmaPRZXkiRJ6hTPm9WkjKy4SvIi4O3AccBvVdXuUb2XZtt6d4Dj/mXflioddqxtwYP2bPIYNXmTHlDGffzsG3Q76WLh1cV1mlUjGYo9yXHAfwReDDwN+LEkTxvFe0mStBEeoyRJozKqlqtzgX1VdQ9AkmuAC4A7RvR+gFX7oEadt3H8OriRVq1jxeMvmRrWerevQX9lXWkcrb3rbWEY5j3GbCLHKBj/NjDo66/1OY8ylpWOFVtb+37NvkE/341s++N4br2xdXF7XmudRnEMG4VUVfsvmlwIvKiqfrx5/Erg2VX1k33z7AR2Ng+fCtzVeiCz7wzgs5MOYsaZw3aYx+GZw/X7tqp64qhefD3HqGb6LB2n3L6WmYtl5uJI5mOZuVg2SC6OepwaVctVVpl2RBVXVXuAPSN6/05IcktVzU86jllmDtthHodnDqfKmscomK3jlNvXMnOxzFwcyXwsMxfL2s7FSM65Ag4AZ/U93gY8MKL3kiRpIzxGSZJGYlTF1V8C5yQ5O8nxwEXADSN6L0mSNsJjlCRpJEbSLbCqlpL8JPBH9Ia5/e2qun0U79VxM9EdZcqZw3aYx+GZwynR0WOU29cyc7HMXBzJfCwzF8tazcVIBrSQJEmSpM1mVN0CJUmSJGlTsbiSJEmSpBZYXE1YktOS3Jjk7ubvqUeZ7w+TPJLk/Sumn53k5mb5a5uTszeVDeTwkmaeu5Nc0jd9McldST7W3J40vugnL8mLmvXfl+SKVZ5/TLNt7Wu2te19z72umX5XkheOM+5pMmgOk2xP8uW+be8d445ds8PjxTL3++67+7kPPtI68vH9SW5LspTedf/6n1v1OzOrhszF1/q2jfUPelRV3iZ4A34ZuKK5fwXw5qPMdx7wUuD9K6a/B7iouf8O4F9Nep2mMYfAacA9zd9Tm/unNs8tAvOTXo8J5e444JPAU4Djgf8FPG3FPP8aeEdz/yLg2ub+05r5HwOc3bzOcZNepxnL4XbgE5NeB2+zcfN4sbFcdHm/7767tVx0bh+8znxsB/4R8E7gwr7pR/3OzOJtmFw0zx0a5H1tuZq8C4Crm/tXAy9fbaaqugn4Yv+0JAGeD1y31vIdt54cvhC4sao+X1UPAzcCLxpTfNPsXGBfVd1TVV8FrqGXz379+b0OOK/Z9i4Arqmqr1TVp4B9zettNsPkUNoIjxfLNvt+3333MvfBR1ozH1W1v6o+Dnx9xbJd+84Mk4uBWVxN3lxVHQRo/m6ka8LpwCNVtdQ8PgBsbTm+WbCeHG4F7ut7vDJXv9M0+/7fHd7hrmatvBwxT7OtfYHetreeZTeDYXIIcHaSjyb570m+b9TBaqZ5vFi22ff77ruXuQ8+0jCf72bcNo7lhCS3JPnzJOv+MWok17nSkZL8MfAtqzz1hmFfepVpnRxbv4UcHitXF1fV/UkeB/w+8Ep6zcObwXq2oaPNs2m2vzUMk8ODwLdW1eeSPAv4z0m+q6r+tu0gNRs8Xixzv39M7ruXuQ8+0jCf72bcNo7lW6vqgSRPAT6UZG9VfXKthSyuxqCqXnC055I8mOTMqjqY5EzgoQ289GeBU5JsaX6J2QY8MGS4U6mFHB4AFvoeb6PX556qur/5+8Ukv0evGXmWDrLDOACc1fd4tW3o8DwHkmwBngB8fp3LbgYD57B6nbq/AlBVtyb5JPAdwC0jj1pTyePFMvf7x+S+e5n74CMN8/ke9Tszo4ba1qvqgebvPUkWgWfQO4frmOwWOHk3AIdHY7kEuH69CzY7hQ8Dh0c32dDyHbKeHP4R8ENJTk1vVKkfAv4oyZYkZwAk+WbgJcAnxhDztPhL4Jz0RhE7nt6JvitHxOnP74XAh5pt7wbgomYUprOBc4C/GFPc02TgHCZ5YpLjAJpfxs6hdwKxtBqPF8s2+37fffcy98FHWk8+jmbV78yI4hyHgXPR5OAxzf0zgOcBd6zrXccxWoe3Y45kcjpwE3B38/e0Zvo88Ft98/0p8Bngy/Qq8Rc2059Cb6e4D3gv8JhJr9MU5/DVTZ72Aa9qpp0E3Ap8HLgdeDszPGrSgPn7YeCv6f0a84Zm2r8DXtbcP6HZtvY129pT+pZ9Q7PcXcCLJ70us5ZD4Eea7e5/AbcBL530unib3pvHi4Fy0dn9vvvu4XPR1X3wOvLxPc2+4UvA54Db+5Z91Hdmlm+D5gJ4LrC32Tb2Apet9z3TvIAkSZIkaQh2C5QkSZKkFlhcSZIkSVILLK4kSZIkqQUWV5IkSZLUAosrSZIkSWqBxZUkSZIktcDiSpIkSZJaYHElSZIkSS2wuJIkSZKkFlhcSZIkSVILLK4kSZIkqQUWV5IkSZLUAosraUySXJzkg5OOQ5KkfkluT7KQ5E1J/tOk45FmWapq0jFIkiRpwpK8Cfj2qvrnk45FmlW2XEmSJElSCyyupBFIclaS9yX5TJLPJfn1JJcm+UjzfJK8LclDSb6Q5ONJnt48d2KSK5N8unnuI0lObJ57WdN945Eki0m+c5LrKUmafUn2J3lB8/CEJNcm+WKS25J894r5fq45Zn0pyVVJ5pL8t2b+P05y6oRWQ5oKFldSy5IcB7wf+DSwHdgKXLNith8Cvh/4DuAU4J8Cn2ueewvwLOC5wGnAzwNfT/IdwLuBnwGeCPxX4L8kOX6EqyNJ2lwuAN5L7/jze8B/TvLNfc//CPCD9I5fLwX+G/B64Ax6/1f+9FijlaaMxZXUvnOBJwM/V1Vfqqr/XVUfWTHP3wOPA/4hvXMf76yqg0m+CXg18Jqqur+qvlZV/6OqvkKvAPtAVd1YVX9Prwg7kV4RJklSG26tquua48xbgROA5/Q9/2tV9WBV3Q/8KXBzVX20OU79AfCM8YcsTQ+LK6l9ZwGfrqqlo81QVR8Cfh34j8CDSfYkeTy9X/5OAD65ymJPptcadvg1vg7cR69lTJKkNtx3+E5znDlA7/hz2IN997+8yuOTRxqdNOUsrqT23Qd8a5Itx5qpqn61qp4FfBe97hU/B3wW+N/AP1hlkQeAbzv8IEnoFXL3txS3JElnHb7T9KbYRu/4I2kdLK6k9v0FcBDYneSkJCckeV7/DEm+J8mzm37sX6JXUH2t+ZXwt4G3JnlykuOSfG+SxwDvAc5Pcl6z3C7gK8D/GOfKSZI67VlJ/knzA+HP0DvO/PmEY5JmhsWV1LKq+hq9k3y/HbiXXpeKf7pitscDvwk8TK+r3+fonUMF8G+AvcBfAp8H3gx8U1XdBfxz4NfotXC9FHhpVX11lOsjSdpUrqd3zHoYeCXwT5rzryStgxcRliRJkqQW2HIlSZIkSS2wuJIkSZKkFlhcSZIkSVILLK4kSZIkqQXHvA7PuJxxxhm1ffv2SYexpi996UucdNJJkw5jJpirjTFf62eu1m9Wc3Xrrbd+tqqeOOk4+k3LcWpWP9Nj6do6uT7TzfWZbrOyPsc6Tk1FcbV9+3ZuueWWSYexpsXFRRYWFiYdxkwwVxtjvtbPXK3frOYqyacnHcNK03KcmtXP9Fi6tk6uz3RzfabbrKzPsY5TdguUJEmSpBZYXEmSOivJzya5Pcknkrw7yQlJzk5yc5K7k1yb5PhJxylJ6gaLK0lSJyXZCvw0MF9VTweOAy4C3gy8rarOAR4GLptclJKkLrG4kiR12RbgxCRbgMcCB4HnA9c1z18NvHxCsUmSOmYqBrSQJKltVXV/krcA9wJfBj4I3Ao8UlVLzWwHgK2rLZ9kJ7ATYG5ujsXFxZHHvJZDhw5NRRxt6to6uT7TzfWZbl1YH4srSVInJTkVuAA4G3gEeC/w4lVmrdWWr6o9wB6A+fn5moYRrGZlJK2N6No6uT7TzfWZbl1YH4sraYK2X/EBAHbtWOLSKz7A/t3nTzgiqVNeAHyqqj4DkOR9wHOBU5JsaVqvtgEPTDBGSS04fDw9rP942v/crh1LLIwrKG1KnnMlSeqqe4HnJHlskgDnAXcAHwYubOa5BLh+QvFJkjrG4kqS1ElVdTO9gStuA/bSO+btAS4HXptkH3A6cNXEgpQkdYrdAiVJnVVVbwTeuGLyPcC5EwhHktRxtlxJkiRJUgssriRJkiSpBXYLlCRJUqesHD1QGhdbriRJkiSpBbZcSZIkSRz7elnSeqzZcpXkt5M8lOQTfdP+3yR/leTjSf4gySl9z70uyb4kdyV54agClyRJkqRpsp6Wq98Ffh14Z9+0G4HXVdVSkjcDrwMuT/I04CLgu4AnA3+c5Duq6mvthi1JkiQNx3Oz1LY1W66q6k+Az6+Y9sGqWmoe/jmwrbl/AXBNVX2lqj4F7MNriUiSJEnaBNo45+rVwLXN/a30iq3DDjTTHiXJTmAnwNzcHIuLiy2EMlqHDh2aiTingblan107er9RzJ3Yu2/O1ua2tX7mSpKk8RqquEryBmAJeNfhSavMVqstW1V7gD0A8/PztbCwMEwoY7G4uMgsxA14wzoAABh+SURBVDkNzNX6XNp0R9i1Y4kr925h/8ULkw1oBrhtrZ+5kiRpvAYurpJcArwEOK+qDhdQB4Cz+mbbBjwweHiSJEmSNBsGus5VkhcBlwMvq6q/63vqBuCiJI9JcjZwDvAXw4cpSZIkSdNtzZarJO8GFoAzkhwA3khvdMDHADcmAfjzqvqXVXV7kvcAd9DrLvgTjhQoSZIkaTNYs7iqqh9bZfJVx5j/l4BfGiYoSZIkSZo1A3ULlCRJkiQdyeJKkiRJklrQxnWuJEmSpLHa3lzORJomtlxJkiRJUgssriRJkiSpBRZXkiRJktQCz7mSpkh///H9u8+fYCSSJEnaKFuuJEmSJKkFtlxJY+boRpIkSd1ky5UkSZIktcDiSpIkSZJaYHElSZIkSS3wnCtpxDzHSpIkaXOw5UqSJEmSWmBxJUmSJEktWLO4SvLbSR5K8om+aacluTHJ3c3fU5vpSfKrSfYl+XiSZ44yeEmSJEmaFutpufpd4EUrpl0B3FRV5wA3NY8BXgyc09x2Ar/RTpiSJEmSNN3WLK6q6k+Az6+YfAFwdXP/auDlfdPfWT1/DpyS5My2gpUkaSOSnJLkuiR/leTOJN97tN4XkiQNa9DRAueq6iBAVR1M8qRm+lbgvr75DjTTDg4eoiRJA3s78IdVdWGS44HHAq+n1/tid5Ir6PW+uHySQUoaH0fx1Si1PRR7VplWq86Y7KTXdZC5uTkWFxdbDqV9hw4dmok4p4G5WrZrx9Ka88yd+Oj5zN/q3LbWb7PnKsnjge8HLgWoqq8CX01yAbDQzHY1sIjFlSSpBalatfY5cqZkO/D+qnp68/guYKFptToTWKyqpyb5/5r7714537Fef35+vm655Zbh1mQMFhcXWVhYmHQYM8FcLVvPL2S7dixx5d4jf+vYv/v8UYU009y21m9Wc5Xk1qqab+F1/jGwB7gD+G7gVuA1wP1VdUrffA9X1aO6Bq74EfBZ11xzzbAhDe3QoUOcfPLJkw6jVV1bJ9dnfPbe/4UNLzN3Ijz45cHeb8fWJwy24AhN8+cziFlZnx/4gR846nFq0JarG4BLgN3N3+v7pv9kkmuAZwNfWKuwkiRpRLYAzwR+qqpuTvJ2lgdgWlNV7aFXnDE/P1/TUKjOasF8LF1bJ9dnfC4doHvfaj9mrtf+ixcGWm6UpvnzGUQX1mc9Q7G/G/ifwFOTHEhyGb2i6geT3A38YPMY4L8C9wD7gN8E/vVIopYkaW0HgANVdXPz+Dp6xdaDhwdbav4+NKH4JEkds2bpXlU/dpSnzltl3gJ+YtigJEkaVlX9TZL7kjy1qu6id9y6o7mt1vtCkqShtD2ghSRJ0+SngHc1IwXeA7yKXq+N9zQ9Me4FXjHB+CRJHWJxJU2plQNhOMCFtHFV9TFgtZOOH9X7QpKkYa15zpUkSZIkaW0WV5IkSZLUAosrSZIkSWqBxZUkSZIktcABLaQZ0T/AhYNbSJI0vTxmb14WV9IIrBzpT5IkSd1ncSVJkiStwUukaD0850qSJEmSWmDLlSRJkqaS5y5p1thyJUmSJEktsLiSJEmSpBZYXEmSJElSCzznSpIkSVPPy5xoFthyJUmSJEktGKq4SvKzSW5P8okk705yQpKzk9yc5O4k1yY5vq1gJUmSJGlaDVxcJdkK/DQwX1VPB44DLgLeDLytqs4BHgYuayNQSZIkSZpmw3YL3AKcmGQL8FjgIPB84Lrm+auBlw/5HpIkSZI09QYe0KKq7k/yFuBe4MvAB4FbgUeqaqmZ7QCwdbXlk+wEdgLMzc2xuLg4aChjc+jQoZmIcxps9lzt2rG09kx95k7c2DKbObebfdvaCHMlSdJ4DVxcJTkVuAA4G3gEeC/w4lVmrdWWr6o9wB6A+fn5WlhYGDSUsVlcXGQW4pwGmz1Xl25wRKNdO5a4cu/6v477L17YYETdsdm3rY0wV5Ikjdcw3QJfAHyqqj5TVX8PvA94LnBK000QYBvwwJAxSpIkSdLUG6a4uhd4TpLHJglwHnAH8GHgwmaeS4DrhwtRkiRJkqbfwMVVVd1Mb+CK24C9zWvtAS4HXptkH3A6cFULcUqSJEnSVBv4nCuAqnoj8MYVk+8Bzh3mdSVJkiRp1gw7FLskSZIkCYsrSZIkSWqFxZUkSZIktcDiSpIkSZJaYHElSZIkSS2wuJIkSZKkFlhcSZIkSVILLK4kSZIkqQUWV5KkTktyXJKPJnl/8/jsJDcnuTvJtUmOn3SMkqRusLiSJHXda4A7+x6/GXhbVZ0DPAxcNpGoJEmdY3ElSeqsJNuA84Hfah4HeD5wXTPL1cDLJxOdJKlrtkw6AEmSRuhXgJ8HHtc8Ph14pKqWmscHgK2rLZhkJ7ATYG5ujsXFxdFGug6HDh2aijja1LV1cn3atWvH0tozbcDcie295q+96/pv3N+x9QlHPNf/HqPM36Q/n7Z1YX0sriRJnZTkJcBDVXVrkoXDk1eZtVZbvqr2AHsA5ufna2FhYbXZxmpxcZFpiKNNXVsn16ddl17xgVZfb9eOJa7c2/6/v/svXjjicX/cK59r06Q/n7Z1YX0sriRJXfU84GVJfhg4AXg8vZasU5JsaVqvtgEPTDBGSX22t1xMSePmOVeSpE6qqtdV1baq2g5cBHyoqi4GPgxc2Mx2CXD9UV5CkqQNGaq4SnJKkuuS/FWSO5N8b5LTktzYDHF7Y5JT2wpWkqQWXA68Nsk+eudgXTXheCRJHTFst8C3A39YVRc21wl5LPB64Kaq2p3kCuAKegcySSPS341i/+7zJxiJNJ2qahFYbO7fA5w7yXgkSd00cMtVkscD30/zi19VfbWqHgEuoDe0LTjErSRJkqRNYpiWq6cAnwF+J8l3A7fSu1DjXFUdBKiqg0metNrC0zjE7Vq6MDzkuGz2XG10mNeNDg27MrfjGvJ1Gmz2bWsjzJUkSeM1THG1BXgm8FNVdXOSt9PrArgu0zjE7Vq6MDzkuGz2XG106NiNDg07qSFfp8Fm37Y2wlxJkjRewwxocQA4UFU3N4+vo1dsPZjkTIDm70PDhShJkiRJ02/glquq+psk9yV5alXdBZwH3NHcLgF24xC32iS8LockSZuX/wfosGFHC/wp4F3NSIH3AK+i1xr2niSXAfcCrxjyPSRJkiRp6g1VXFXVx4D5VZ46b5jXlSRJ0uZgq4+6ZKiLCEuSJEmSeobtFihpAvyVT5IkafrYciVJkiRJLbC4kiRJkqQWWFxJkiRJUgssriRJkiSpBRZXkiRJktQCiytJkiRJaoHFlSRJkiS1wOJKkiRJklrgRYSlAXgRX0mSJK1kcSVJkqSx8QdKdZndAiVJkiSpBRZXkiRJktQCiytJkiRJaoHFlSRJkiS1YOgBLZIcB9wC3F9VL0lyNnANcBpwG/DKqvrqsO8jSZIkzZqVA3js333+hCLROLTRcvUa4M6+x28G3lZV5wAPA5e18B6SJEmSNNWGarlKsg04H/gl4LVJAjwf+GfNLFcDbwJ+Y5j3kbR+/kImSZI0GcN2C/wV4OeBxzWPTwceqaql5vEBYOtqCybZCewEmJubY3FxcchQRu/QoUMzEec06Hqudu1YWnumDZg7sf3XPKxrn0PXt602mStJksZr4OIqyUuAh6rq1iQLhyevMmuttnxV7QH2AMzPz9fCwsJqs02VxcVFZiHOadD1XF3a8gUQd+1Y4sq9o7mm9/6LF0byupPS9W2rTeZK0rTwwsHaLIb5b+55wMuS/DBwAvB4ei1ZpyTZ0rRebQMeGD5MafI8MEiSJOlYBh7QoqpeV1Xbqmo7cBHwoaq6GPgwcGEz2yXA9UNHKUmSJElTbhTXubqc3uAW++idg3XVCN5DkiRJkqZKKyd5VNU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" + ], + "text/plain": [ + " count mean std min 25% 50% 75% \\\n", + "aapl 1257.0 0.000614 0.016466 -0.131875 -0.007358 0.000455 0.009724 \n", + "cisco 1257.0 0.000497 0.014279 -0.116091 -0.006240 0.000213 0.007634 \n", + "ibm 1257.0 0.000011 0.011819 -0.086419 -0.005873 0.000049 0.006477 \n", + "amzn 1257.0 0.001139 0.019362 -0.116503 -0.008534 0.000563 0.011407 \n", + "\n", + " max \n", + "aapl 0.085022 \n", + "cisco 0.118862 \n", + "ibm 0.049130 \n", + "amzn 0.146225 " + ] + }, + "execution_count": 13, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "log_ret.describe().transpose()" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "aapl 0.154803\n", + "cisco 0.125291\n", + "ibm 0.002788\n", + "amzn 0.287153\n", + "dtype: float64" + ] + }, + "execution_count": 14, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "log_ret.mean() * 252" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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aaplciscoibmamzn
aapl0.0002710.0000710.0000570.000075
cisco0.0000710.0002040.0000720.000079
ibm0.0000570.0000720.0001400.000059
amzn0.0000750.0000790.0000590.000375
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" + ], + "text/plain": [ + " aapl cisco ibm amzn\n", + "aapl 0.000271 0.000071 0.000057 0.000075\n", + "cisco 0.000071 0.000204 0.000072 0.000079\n", + "ibm 0.000057 0.000072 0.000140 0.000059\n", + "amzn 0.000075 0.000079 0.000059 0.000375" + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Calculer la covariance des colonnes par paires\n", + "log_ret.cov()" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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aaplciscoibmamzn
aapl0.0683260.0178540.0144640.018986
cisco0.0178540.0513810.0180290.019956
ibm0.0144640.0180290.0352030.014939
amzn0.0189860.0199560.0149390.094470
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" + ], + "text/plain": [ + " aapl cisco ibm amzn\n", + "aapl 0.068326 0.017854 0.014464 0.018986\n", + "cisco 0.017854 0.051381 0.018029 0.019956\n", + "ibm 0.014464 0.018029 0.035203 0.014939\n", + "amzn 0.018986 0.019956 0.014939 0.094470" + ] + }, + "execution_count": 16, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "log_ret.cov()*252 # multiplier par les jours ouvrables" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Exécution pour une certaine répartition aléatoire" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Stocks\n", + "Index(['aapl', 'cisco', 'ibm', 'amzn'], dtype='object')\n", + "\n", + "\n", + "Creating Random Weights\n", + "[0.51639863 0.57066759 0.02847423 0.17152166]\n", + "\n", + "\n", + "Rebalance to sum to 1.0\n", + "[0.40122278 0.44338777 0.02212343 0.13326603]\n", + "\n", + "\n", + "Expected Portfolio Return\n", + "0.1559927204963252\n", + "\n", + "\n", + "Expected Volatility\n", + "0.1850264956590895\n", + "\n", + "\n", + "Sharpe Ratio\n", + "0.8430831483926556\n" + ] + } + ], + "source": [ + "# Règlage du seed (optionnel)\n", + "np.random.seed(101)\n", + "\n", + "# Colonnes d'actions (Stocks)\n", + "print('Stocks')\n", + "print(stocks.columns)\n", + "print('\\n')\n", + "\n", + "# Créer des poids aléatoires\n", + "print('Creating Random Weights')\n", + "weights = np.array(np.random.random(4))\n", + "print(weights)\n", + "print('\\n')\n", + "\n", + "# Re-pondération des Poids\n", + "print('Rebalance to sum to 1.0')\n", + "weights = weights / np.sum(weights)\n", + "print(weights)\n", + "print('\\n')\n", + "\n", + "# Rendement attendu ou escompté\n", + "print('Expected Portfolio Return')\n", + "exp_ret = np.sum(log_ret.mean() * weights) *252\n", + "print(exp_ret)\n", + "print('\\n')\n", + "\n", + "# variance attendue ou escomptée\n", + "print('Expected Volatility')\n", + "exp_vol = np.sqrt(np.dot(weights.T, np.dot(log_ret.cov() * 252, weights)))\n", + "print(exp_vol)\n", + "print('\\n')\n", + "\n", + "# Ratio de Sharpe\n", + "SR = exp_ret/exp_vol\n", + "print('Sharpe Ratio')\n", + "print(SR)\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Super ! Maintenant, on peut l'éxécuter plein de fois !" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [], + "source": [ + "num_ports = 15000\n", + "\n", + "all_weights = np.zeros((num_ports,len(stocks.columns)))\n", + "ret_arr = np.zeros(num_ports)\n", + "vol_arr = np.zeros(num_ports)\n", + "sharpe_arr = np.zeros(num_ports)\n", + "\n", + "for ind in range(num_ports):\n", + "\n", + " # Créer des poids aléatoires\n", + " weights = np.array(np.random.random(4))\n", + "\n", + " # (re)Pondération des poids\n", + " weights = weights / np.sum(weights)\n", + " \n", + " # Sauvegarde des Poids\n", + " all_weights[ind,:] = weights\n", + "\n", + " # rendement attendu\n", + " ret_arr[ind] = np.sum((log_ret.mean() * weights) *252)\n", + "\n", + " # variance Attendue\n", + " vol_arr[ind] = np.sqrt(np.dot(weights.T, np.dot(log_ret.cov() * 252, weights)))\n", + "\n", + " # Ratio de Sharpe\n", + " sharpe_arr[ind] = ret_arr[ind]/vol_arr[ind]" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "1.030326055127131" + ] + }, + "execution_count": 19, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "sharpe_arr.max()" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "1419" + ] + }, + "execution_count": 20, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "sharpe_arr.argmax()" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([0.26188068, 0.20759516, 0.00110226, 0.5294219 ])" + ] + }, + "execution_count": 21, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "all_weights[1419,:]" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [], + "source": [ + "max_sr_ret = ret_arr[1419]\n", + "max_sr_vol = vol_arr[1419]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Tracer les données" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 23, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(12,8))\n", + "plt.scatter(vol_arr,ret_arr,c=sharpe_arr,cmap='plasma')\n", + "plt.colorbar(label='Sharpe Ratio')\n", + "plt.xlabel('Volatility')\n", + "plt.ylabel('Return')\n", + "\n", + "# Ajouter un point rouge pour le SR max\n", + "plt.scatter(max_sr_vol,max_sr_ret,c='red',s=50,edgecolors='black')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Optimisation mathématique\n", + "\n", + "Il y a de bien meilleures façons de trouver de bons poids de répartition que de simplement deviner et vérifier ! Nous pouvons utiliser des fonctions d'optimisation pour trouver les poids idéaux mathématiquement !" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Fonctionnaliser les opérations de rendement et de SR" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [], + "source": [ + "def get_ret_vol_sr(weights):\n", + " \"\"\"\n", + " Prends en argument les poids, retourne un tableau de rendement,\n", + " volatilité et Ratio de Sharpe\n", + " \"\"\"\n", + " weights = np.array(weights)\n", + " ret = np.sum(log_ret.mean() * weights) * 252\n", + " vol = np.sqrt(np.dot(weights.T, np.dot(log_ret.cov() * 252, weights)))\n", + " sr = ret/vol\n", + " return np.array([ret,vol,sr])" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [], + "source": [ + "from scipy.optimize import minimize" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Pour bien comprendre tous les paramètres, regardez:\n", + "https://docs.scipy.org/doc/scipy/reference/generated/scipy.optimize.minimize.html" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Help on function minimize in module scipy.optimize._minimize:\n", + "\n", + "minimize(fun, x0, args=(), method=None, jac=None, hess=None, hessp=None, bounds=None, constraints=(), tol=None, callback=None, options=None)\n", + " Minimization of scalar function of one or more variables.\n", + " \n", + " Parameters\n", + " ----------\n", + " fun : callable\n", + " The objective function to be minimized.\n", + " \n", + " ``fun(x, *args) -> float``\n", + " \n", + " where x is an 1-D array with shape (n,) and `args`\n", + " is a tuple of the fixed parameters needed to completely\n", + " specify the function.\n", + " x0 : ndarray, shape (n,)\n", + " Initial guess. Array of real elements of size (n,),\n", + " where 'n' is the number of independent variables.\n", + " args : tuple, optional\n", + " Extra arguments passed to the objective function and its\n", + " derivatives (`fun`, `jac` and `hess` functions).\n", + " method : str or callable, optional\n", + " Type of solver. Should be one of\n", + " \n", + " - 'Nelder-Mead' :ref:`(see here) `\n", + " - 'Powell' :ref:`(see here) `\n", + " - 'CG' :ref:`(see here) `\n", + " - 'BFGS' :ref:`(see here) `\n", + " - 'Newton-CG' :ref:`(see here) `\n", + " - 'L-BFGS-B' :ref:`(see here) `\n", + " - 'TNC' :ref:`(see here) `\n", + " - 'COBYLA' :ref:`(see here) `\n", + " - 'SLSQP' :ref:`(see here) `\n", + " - 'trust-constr':ref:`(see here) `\n", + " - 'dogleg' :ref:`(see here) `\n", + " - 'trust-ncg' :ref:`(see here) `\n", + " - 'trust-exact' :ref:`(see here) `\n", + " - 'trust-krylov' :ref:`(see here) `\n", + " - custom - a callable object (added in version 0.14.0),\n", + " see below for description.\n", + " \n", + " If not given, chosen to be one of ``BFGS``, ``L-BFGS-B``, ``SLSQP``,\n", + " depending if the problem has constraints or bounds.\n", + " jac : {callable, '2-point', '3-point', 'cs', bool}, optional\n", + " Method for computing the gradient vector. Only for CG, BFGS,\n", + " Newton-CG, L-BFGS-B, TNC, SLSQP, dogleg, trust-ncg, trust-krylov,\n", + " trust-exact and trust-constr. If it is a callable, it should be a\n", + " function that returns the gradient vector:\n", + " \n", + " ``jac(x, *args) -> array_like, shape (n,)``\n", + " \n", + " where x is an array with shape (n,) and `args` is a tuple with\n", + " the fixed parameters. Alternatively, the keywords\n", + " {'2-point', '3-point', 'cs'} select a finite\n", + " difference scheme for numerical estimation of the gradient. Options\n", + " '3-point' and 'cs' are available only to 'trust-constr'.\n", + " If `jac` is a Boolean and is True, `fun` is assumed to return the\n", + " gradient along with the objective function. If False, the gradient\n", + " will be estimated using '2-point' finite difference estimation.\n", + " hess : {callable, '2-point', '3-point', 'cs', HessianUpdateStrategy}, optional\n", + " Method for computing the Hessian matrix. Only for Newton-CG, dogleg,\n", + " trust-ncg, trust-krylov, trust-exact and trust-constr. If it is\n", + " callable, it should return the Hessian matrix:\n", + " \n", + " ``hess(x, *args) -> {LinearOperator, spmatrix, array}, (n, n)``\n", + " \n", + " where x is a (n,) ndarray and `args` is a tuple with the fixed\n", + " parameters. LinearOperator and sparse matrix returns are\n", + " allowed only for 'trust-constr' method. Alternatively, the keywords\n", + " {'2-point', '3-point', 'cs'} select a finite difference scheme\n", + " for numerical estimation. Or, objects implementing\n", + " `HessianUpdateStrategy` interface can be used to approximate\n", + " the Hessian. Available quasi-Newton methods implementing\n", + " this interface are:\n", + " \n", + " - `BFGS`;\n", + " - `SR1`.\n", + " \n", + " Whenever the gradient is estimated via finite-differences,\n", + " the Hessian cannot be estimated with options\n", + " {'2-point', '3-point', 'cs'} and needs to be\n", + " estimated using one of the quasi-Newton strategies.\n", + " Finite-difference options {'2-point', '3-point', 'cs'} and\n", + " `HessianUpdateStrategy` are available only for 'trust-constr' method.\n", + " hessp : callable, optional\n", + " Hessian of objective function times an arbitrary vector p. Only for\n", + " Newton-CG, trust-ncg, trust-krylov, trust-constr.\n", + " Only one of `hessp` or `hess` needs to be given. If `hess` is\n", + " provided, then `hessp` will be ignored. `hessp` must compute the\n", + " Hessian times an arbitrary vector:\n", + " \n", + " ``hessp(x, p, *args) -> ndarray shape (n,)``\n", + " \n", + " where x is a (n,) ndarray, p is an arbitrary vector with\n", + " dimension (n,) and `args` is a tuple with the fixed\n", + " parameters.\n", + " bounds : sequence or `Bounds`, optional\n", + " Bounds on variables for L-BFGS-B, TNC, SLSQP and\n", + " trust-constr methods. There are two ways to specify the bounds:\n", + " \n", + " 1. Instance of `Bounds` class.\n", + " 2. Sequence of ``(min, max)`` pairs for each element in `x`. None\n", + " is used to specify no bound.\n", + " \n", + " constraints : {Constraint, dict} or List of {Constraint, dict}, optional\n", + " Constraints definition (only for COBYLA, SLSQP and trust-constr).\n", + " Constraints for 'trust-constr' are defined as a single object or a\n", + " list of objects specifying constraints to the optimization problem.\n", + " Available constraints are:\n", + " \n", + " - `LinearConstraint`\n", + " - `NonlinearConstraint`\n", + " \n", + " Constraints for COBYLA, SLSQP are defined as a list of dictionaries.\n", + " Each dictionary with fields:\n", + " \n", + " type : str\n", + " Constraint type: 'eq' for equality, 'ineq' for inequality.\n", + " fun : callable\n", + " The function defining the constraint.\n", + " jac : callable, optional\n", + " The Jacobian of `fun` (only for SLSQP).\n", + " args : sequence, optional\n", + " Extra arguments to be passed to the function and Jacobian.\n", + " \n", + " Equality constraint means that the constraint function result is to\n", + " be zero whereas inequality means that it is to be non-negative.\n", + " Note that COBYLA only supports inequality constraints.\n", + " tol : float, optional\n", + " Tolerance for termination. For detailed control, use solver-specific\n", + " options.\n", + " options : dict, optional\n", + " A dictionary of solver options. All methods accept the following\n", + " generic options:\n", + " \n", + " maxiter : int\n", + " Maximum number of iterations to perform.\n", + " disp : bool\n", + " Set to True to print convergence messages.\n", + " \n", + " For method-specific options, see :func:`show_options()`.\n", + " callback : callable, optional\n", + " Called after each iteration. For 'trust-constr' it is a callable with\n", + " the signature:\n", + " \n", + " ``callback(xk, OptimizeResult state) -> bool``\n", + " \n", + " where ``xk`` is the current parameter vector. and ``state``\n", + " is an `OptimizeResult` object, with the same fields\n", + " as the ones from the return. If callback returns True\n", + " the algorithm execution is terminated.\n", + " For all the other methods, the signature is:\n", + " \n", + " ``callback(xk)``\n", + " \n", + " where ``xk`` is the current parameter vector.\n", + " \n", + " Returns\n", + " -------\n", + " res : OptimizeResult\n", + " The optimization result represented as a ``OptimizeResult`` object.\n", + " Important attributes are: ``x`` the solution array, ``success`` a\n", + " Boolean flag indicating if the optimizer exited successfully and\n", + " ``message`` which describes the cause of the termination. See\n", + " `OptimizeResult` for a description of other attributes.\n", + " \n", + " See also\n", + " --------\n", + " minimize_scalar : Interface to minimization algorithms for scalar\n", + " univariate functions\n", + " show_options : Additional options accepted by the solvers\n", + " \n", + " Notes\n", + " -----\n", + " This section describes the available solvers that can be selected by the\n", + " 'method' parameter. The default method is *BFGS*.\n", + " \n", + " **Unconstrained minimization**\n", + " \n", + " Method :ref:`Nelder-Mead ` uses the\n", + " Simplex algorithm [1]_, [2]_. This algorithm is robust in many\n", + " applications. However, if numerical computation of derivative can be\n", + " trusted, other algorithms using the first and/or second derivatives\n", + " information might be preferred for their better performance in\n", + " general.\n", + " \n", + " Method :ref:`Powell ` is a modification\n", + " of Powell's method [3]_, [4]_ which is a conjugate direction\n", + " method. It performs sequential one-dimensional minimizations along\n", + " each vector of the directions set (`direc` field in `options` and\n", + " `info`), which is updated at each iteration of the main\n", + " minimization loop. The function need not be differentiable, and no\n", + " derivatives are taken.\n", + " \n", + " Method :ref:`CG ` uses a nonlinear conjugate\n", + " gradient algorithm by Polak and Ribiere, a variant of the\n", + " Fletcher-Reeves method described in [5]_ pp. 120-122. Only the\n", + " first derivatives are used.\n", + " \n", + " Method :ref:`BFGS ` uses the quasi-Newton\n", + " method of Broyden, Fletcher, Goldfarb, and Shanno (BFGS) [5]_\n", + " pp. 136. It uses the first derivatives only. BFGS has proven good\n", + " performance even for non-smooth optimizations. This method also\n", + " returns an approximation of the Hessian inverse, stored as\n", + " `hess_inv` in the OptimizeResult object.\n", + " \n", + " Method :ref:`Newton-CG ` uses a\n", + " Newton-CG algorithm [5]_ pp. 168 (also known as the truncated\n", + " Newton method). It uses a CG method to the compute the search\n", + " direction. See also *TNC* method for a box-constrained\n", + " minimization with a similar algorithm. Suitable for large-scale\n", + " problems.\n", + " \n", + " Method :ref:`dogleg ` uses the dog-leg\n", + " trust-region algorithm [5]_ for unconstrained minimization. This\n", + " algorithm requires the gradient and Hessian; furthermore the\n", + " Hessian is required to be positive definite.\n", + " \n", + " Method :ref:`trust-ncg ` uses the\n", + " Newton conjugate gradient trust-region algorithm [5]_ for\n", + " unconstrained minimization. This algorithm requires the gradient\n", + " and either the Hessian or a function that computes the product of\n", + " the Hessian with a given vector. Suitable for large-scale problems.\n", + " \n", + " Method :ref:`trust-krylov ` uses\n", + " the Newton GLTR trust-region algorithm [14]_, [15]_ for unconstrained\n", + " minimization. This algorithm requires the gradient\n", + " and either the Hessian or a function that computes the product of\n", + " the Hessian with a given vector. Suitable for large-scale problems.\n", + " On indefinite problems it requires usually less iterations than the\n", + " `trust-ncg` method and is recommended for medium and large-scale problems.\n", + " \n", + " Method :ref:`trust-exact `\n", + " is a trust-region method for unconstrained minimization in which\n", + " quadratic subproblems are solved almost exactly [13]_. This\n", + " algorithm requires the gradient and the Hessian (which is\n", + " *not* required to be positive definite). It is, in many\n", + " situations, the Newton method to converge in fewer iteraction\n", + " and the most recommended for small and medium-size problems.\n", + " \n", + " **Bound-Constrained minimization**\n", + " \n", + " Method :ref:`L-BFGS-B ` uses the L-BFGS-B\n", + " algorithm [6]_, [7]_ for bound constrained minimization.\n", + " \n", + " Method :ref:`TNC ` uses a truncated Newton\n", + " algorithm [5]_, [8]_ to minimize a function with variables subject\n", + " to bounds. This algorithm uses gradient information; it is also\n", + " called Newton Conjugate-Gradient. It differs from the *Newton-CG*\n", + " method described above as it wraps a C implementation and allows\n", + " each variable to be given upper and lower bounds.\n", + " \n", + " **Constrained Minimization**\n", + " \n", + " Method :ref:`COBYLA ` uses the\n", + " Constrained Optimization BY Linear Approximation (COBYLA) method\n", + " [9]_, [10]_, [11]_. The algorithm is based on linear\n", + " approximations to the objective function and each constraint. The\n", + " method wraps a FORTRAN implementation of the algorithm. The\n", + " constraints functions 'fun' may return either a single number\n", + " or an array or list of numbers.\n", + " \n", + " Method :ref:`SLSQP ` uses Sequential\n", + " Least SQuares Programming to minimize a function of several\n", + " variables with any combination of bounds, equality and inequality\n", + " constraints. The method wraps the SLSQP Optimization subroutine\n", + " originally implemented by Dieter Kraft [12]_. Note that the\n", + " wrapper handles infinite values in bounds by converting them into\n", + " large floating values.\n", + " \n", + " Method :ref:`trust-constr ` is a\n", + " trust-region algorithm for constrained optimization. It swiches\n", + " between two implementations depending on the problem definition.\n", + " It is the most versatile constrained minimization algorithm\n", + " implemented in SciPy and the most appropriate for large-scale problems.\n", + " For equality constrained problems it is an implementation of Byrd-Omojokun\n", + " Trust-Region SQP method described in [17]_ and in [5]_, p. 549. When\n", + " inequality constraints are imposed as well, it swiches to the trust-region\n", + " interior point method described in [16]_. This interior point algorithm,\n", + " in turn, solves inequality constraints by introducing slack variables\n", + " and solving a sequence of equality-constrained barrier problems\n", + " for progressively smaller values of the barrier parameter.\n", + " The previously described equality constrained SQP method is\n", + " used to solve the subproblems with increasing levels of accuracy\n", + " as the iterate gets closer to a solution.\n", + " \n", + " **Finite-Difference Options**\n", + " \n", + " For Method :ref:`trust-constr `\n", + " the gradient and the Hessian may be approximated using\n", + " three finite-difference schemes: {'2-point', '3-point', 'cs'}.\n", + " The scheme 'cs' is, potentially, the most accurate but it\n", + " requires the function to correctly handles complex inputs and to\n", + " be differentiable in the complex plane. The scheme '3-point' is more\n", + " accurate than '2-point' but requires twice as much operations.\n", + " \n", + " **Custom minimizers**\n", + " \n", + " It may be useful to pass a custom minimization method, for example\n", + " when using a frontend to this method such as `scipy.optimize.basinhopping`\n", + " or a different library. You can simply pass a callable as the ``method``\n", + " parameter.\n", + " \n", + " The callable is called as ``method(fun, x0, args, **kwargs, **options)``\n", + " where ``kwargs`` corresponds to any other parameters passed to `minimize`\n", + " (such as `callback`, `hess`, etc.), except the `options` dict, which has\n", + " its contents also passed as `method` parameters pair by pair. Also, if\n", + " `jac` has been passed as a bool type, `jac` and `fun` are mangled so that\n", + " `fun` returns just the function values and `jac` is converted to a function\n", + " returning the Jacobian. The method shall return an `OptimizeResult`\n", + " object.\n", + " \n", + " The provided `method` callable must be able to accept (and possibly ignore)\n", + " arbitrary parameters; the set of parameters accepted by `minimize` may\n", + " expand in future versions and then these parameters will be passed to\n", + " the method. You can find an example in the scipy.optimize tutorial.\n", + " \n", + " .. versionadded:: 0.11.0\n", + " \n", + " References\n", + " ----------\n", + " .. [1] Nelder, J A, and R Mead. 1965. A Simplex Method for Function\n", + " Minimization. The Computer Journal 7: 308-13.\n", + " .. [2] Wright M H. 1996. Direct search methods: Once scorned, now\n", + " respectable, in Numerical Analysis 1995: Proceedings of the 1995\n", + " Dundee Biennial Conference in Numerical Analysis (Eds. D F\n", + " Griffiths and G A Watson). Addison Wesley Longman, Harlow, UK.\n", + " 191-208.\n", + " .. [3] Powell, M J D. 1964. An efficient method for finding the minimum of\n", + " a function of several variables without calculating derivatives. The\n", + " Computer Journal 7: 155-162.\n", + " .. [4] Press W, S A Teukolsky, W T Vetterling and B P Flannery.\n", + " Numerical Recipes (any edition), Cambridge University Press.\n", + " .. [5] Nocedal, J, and S J Wright. 2006. Numerical Optimization.\n", + " Springer New York.\n", + " .. [6] Byrd, R H and P Lu and J. Nocedal. 1995. A Limited Memory\n", + " Algorithm for Bound Constrained Optimization. SIAM Journal on\n", + " Scientific and Statistical Computing 16 (5): 1190-1208.\n", + " .. [7] Zhu, C and R H Byrd and J Nocedal. 1997. L-BFGS-B: Algorithm\n", + " 778: L-BFGS-B, FORTRAN routines for large scale bound constrained\n", + " optimization. ACM Transactions on Mathematical Software 23 (4):\n", + " 550-560.\n", + " .. [8] Nash, S G. Newton-Type Minimization Via the Lanczos Method.\n", + " 1984. SIAM Journal of Numerical Analysis 21: 770-778.\n", + " .. [9] Powell, M J D. A direct search optimization method that models\n", + " the objective and constraint functions by linear interpolation.\n", + " 1994. Advances in Optimization and Numerical Analysis, eds. S. Gomez\n", + " and J-P Hennart, Kluwer Academic (Dordrecht), 51-67.\n", + " .. [10] Powell M J D. Direct search algorithms for optimization\n", + " calculations. 1998. Acta Numerica 7: 287-336.\n", + " .. [11] Powell M J D. A view of algorithms for optimization without\n", + " derivatives. 2007.Cambridge University Technical Report DAMTP\n", + " 2007/NA03\n", + " .. [12] Kraft, D. A software package for sequential quadratic\n", + " programming. 1988. Tech. Rep. DFVLR-FB 88-28, DLR German Aerospace\n", + " Center -- Institute for Flight Mechanics, Koln, Germany.\n", + " .. [13] Conn, A. R., Gould, N. I., and Toint, P. L.\n", + " Trust region methods. 2000. Siam. pp. 169-200.\n", + " .. [14] F. Lenders, C. Kirches, A. Potschka: \"trlib: A vector-free\n", + " implementation of the GLTR method for iterative solution of\n", + " the trust region problem\", https://arxiv.org/abs/1611.04718\n", + " .. [15] N. Gould, S. Lucidi, M. Roma, P. Toint: \"Solving the\n", + " Trust-Region Subproblem using the Lanczos Method\",\n", + " SIAM J. Optim., 9(2), 504--525, (1999).\n", + " .. [16] Byrd, Richard H., Mary E. Hribar, and Jorge Nocedal. 1999.\n", + " An interior point algorithm for large-scale nonlinear programming.\n", + " SIAM Journal on Optimization 9.4: 877-900.\n", + " .. [17] Lalee, Marucha, Jorge Nocedal, and Todd Plantega. 1998. On the\n", + " implementation of an algorithm for large-scale equality constrained\n", + " optimization. SIAM Journal on Optimization 8.3: 682-706.\n", + " \n", + " Examples\n", + " --------\n", + " Let us consider the problem of minimizing the Rosenbrock function. This\n", + " function (and its respective derivatives) is implemented in `rosen`\n", + " (resp. `rosen_der`, `rosen_hess`) in the `scipy.optimize`.\n", + " \n", + " >>> from scipy.optimize import minimize, rosen, rosen_der\n", + " \n", + " A simple application of the *Nelder-Mead* method is:\n", + " \n", + " >>> x0 = [1.3, 0.7, 0.8, 1.9, 1.2]\n", + " >>> res = minimize(rosen, x0, method='Nelder-Mead', tol=1e-6)\n", + " >>> res.x\n", + " array([ 1., 1., 1., 1., 1.])\n", + " \n", + " Now using the *BFGS* algorithm, using the first derivative and a few\n", + " options:\n", + " \n", + " >>> res = minimize(rosen, x0, method='BFGS', jac=rosen_der,\n", + " ... options={'gtol': 1e-6, 'disp': True})\n", + " Optimization terminated successfully.\n", + " Current function value: 0.000000\n", + " Iterations: 26\n", + " Function evaluations: 31\n", + " Gradient evaluations: 31\n", + " >>> res.x\n", + " array([ 1., 1., 1., 1., 1.])\n", + " >>> print(res.message)\n", + " Optimization terminated successfully.\n", + " >>> res.hess_inv\n", + " array([[ 0.00749589, 0.01255155, 0.02396251, 0.04750988, 0.09495377], # may vary\n", + " [ 0.01255155, 0.02510441, 0.04794055, 0.09502834, 0.18996269],\n", + " [ 0.02396251, 0.04794055, 0.09631614, 0.19092151, 0.38165151],\n", + " [ 0.04750988, 0.09502834, 0.19092151, 0.38341252, 0.7664427 ],\n", + " [ 0.09495377, 0.18996269, 0.38165151, 0.7664427, 1.53713523]])\n", + " \n", + " \n", + " Next, consider a minimization problem with several constraints (namely\n", + " Example 16.4 from [5]_). The objective function is:\n", + " \n", + " >>> fun = lambda x: (x[0] - 1)**2 + (x[1] - 2.5)**2\n", + " \n", + " There are three constraints defined as:\n", + " \n", + " >>> cons = ({'type': 'ineq', 'fun': lambda x: x[0] - 2 * x[1] + 2},\n", + " ... {'type': 'ineq', 'fun': lambda x: -x[0] - 2 * x[1] + 6},\n", + " ... {'type': 'ineq', 'fun': lambda x: -x[0] + 2 * x[1] + 2})\n", + " \n", + " And variables must be positive, hence the following bounds:\n", + " \n", + " >>> bnds = ((0, None), (0, None))\n", + " \n", + " The optimization problem is solved using the SLSQP method as:\n", + " \n", + " >>> res = minimize(fun, (2, 0), method='SLSQP', bounds=bnds,\n", + " ... constraints=cons)\n", + " \n", + " It should converge to the theoretical solution (1.4 ,1.7).\n", + "\n" + ] + } + ], + "source": [ + "help(minimize)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "L'optimisation fonctionne comme une fonction de minimisation, puisque nous voulons en fait maximiser le ratio de Sharpe, nous devrons le rendre négatif afin de pouvoir minimiser le sharpe négatif (comme pour maximiser le sharpe positif)" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [], + "source": [ + "def neg_sharpe(weights):\n", + " return get_ret_vol_sr(weights)[2] * -1" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [], + "source": [ + "# Contraintes\n", + "def check_sum(weights):\n", + " '''\n", + " Retourne 0 si la somme des poids vaut 1.0\n", + " '''\n", + " return np.sum(weights) - 1" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [], + "source": [ + "# Par convention de fonction de minimisation, il devrait s'agir d'une fonction qui retourne zéro pour certaines conditions\n", + "cons = ({'type':'eq','fun': check_sum})" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [], + "source": [ + "# 0-1 pour chaque poids\n", + "bounds = ((0, 1), (0, 1), (0, 1), (0, 1))" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [], + "source": [ + "# Hypothèse initiale (répartition égale)\n", + "init_guess = [0.25,0.25,0.25,0.25]" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": {}, + "outputs": [], + "source": [ + "# Sequential Least Squares Programming (SLSQP)\n", + "# Programmation séquentielle des moindres carrés\n", + "opt_results = minimize(neg_sharpe,init_guess,method='SLSQP',bounds=bounds,constraints=cons)" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + " fun: -1.0307168703356593\n", + " jac: array([ 5.64157963e-05, 4.18424606e-05, 3.39921728e-01, -4.44948673e-05])\n", + " message: 'Optimization terminated successfully.'\n", + " nfev: 42\n", + " nit: 7\n", + " njev: 7\n", + " status: 0\n", + " success: True\n", + " x: array([0.26628976, 0.20418983, 0. , 0.52952041])" + ] + }, + "execution_count": 33, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "opt_results" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([0.26628976, 0.20418983, 0. , 0.52952041])" + ] + }, + "execution_count": 34, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "opt_results.x" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([0.21885915, 0.21233683, 1.03071687])" + ] + }, + "execution_count": 35, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "get_ret_vol_sr(opt_results.x)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Portefeuilles Optimaux (Frontière Efficiente)\n", + "\n", + "La frontière efficiente est l'ensemble des portefeuilles optimaux qui offrent le rendement attendu le plus élevé pour un niveau de risque défini ou le risque le plus faible pour un niveau de rendement attendu donné. Les portefeuilles qui se situent sous la frontière efficiente sont sous-optimaux, car ils n'offrent pas un rendement suffisant pour le niveau de risque. Les portefeuilles qui se regroupent à droite de la frontière efficiente sont également sous-optimaux, car ils présentent un niveau de risque plus élevé pour le taux de rendement défini.\n", + "\n", + "En résumé, la frontière efficiente est composée de l'ensemble des portefeuilles (combinaisons de titres) qui présentent la meilleure rentabilité pour un niveau de risque donné.\n", + "\n", + "Frontière Efficiente https://epargne.ooreka.fr/astuce/voir/678865/frontiere-efficiente" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": {}, + "outputs": [], + "source": [ + "# Nos rendements vont de 0 à 0.3\n", + "# Créer un nombre de points linéairement espacés pour calculer x dessus\n", + "frontier_y = np.linspace(0,0.3,100) # Changez 100 à un chiffre inférieur pour les ordinateurs plus lents !" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": {}, + "outputs": [], + "source": [ + "def minimize_volatility(weights):\n", + " return get_ret_vol_sr(weights)[1] " + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": {}, + "outputs": [], + "source": [ + "frontier_volatility = []\n", + "\n", + "for possible_return in frontier_y:\n", + " # contraintes\n", + " cons = ({'type':'eq','fun': check_sum},\n", + " {'type':'eq','fun': lambda w: get_ret_vol_sr(w)[0] - possible_return})\n", + " \n", + " result = minimize(minimize_volatility,init_guess,method='SLSQP',bounds=bounds,constraints=cons)\n", + " \n", + " frontier_volatility.append(result['fun'])" + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 39, + "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": [ + "plt.figure(figsize=(12,8))\n", + "plt.scatter(vol_arr,ret_arr,c=sharpe_arr,cmap='plasma')\n", + "plt.colorbar(label='Sharpe Ratio')\n", + "plt.xlabel('Volatility')\n", + "plt.ylabel('Return')\n", + "\n", + "\n", + "\n", + "# Ajouter une ligne de frontière\n", + "plt.plot(frontier_volatility,frontier_y,'g--',linewidth=3)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Bon Travail!" + ] + } + ], + "metadata": { + "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": "3.8.5-final" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} \ No newline at end of file diff --git a/09-Python-Finance-Fondamentaux/03-CAPM-Capital-Asset-Pricing-Model.ipynb b/09-Python-Finance-Fondamentaux/03-CAPM-Capital-Asset-Pricing-Model.ipynb new file mode 100644 index 0000000..061f90c --- /dev/null +++ b/09-Python-Finance-Fondamentaux/03-CAPM-Capital-Asset-Pricing-Model.ipynb @@ -0,0 +1,937 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# CAPM - Capital Asset Pricing Model \n", + "## ou Le Modèle d'Evaluation Des Actifs Financiers (MEDAF)\n", + "\n", + "Regardez la vidéo pour un aperçu complet ou lis [ceci](https://fr.wikipedia.org/wiki/Mod%C3%A8le_d%27%C3%A9valuation_des_actifs_financiers)\n", + "\n", + "Rendements des portefeuilles:" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## $r_p(t) = \\sum\\limits_{i}^{n}w_i r_i(t)$" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Poids du Marché:" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## $ w_i = \\frac{MarketCap_i}{\\sum_{j}^{n}{MarketCap_j}} $\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### CAPM d'un portefeuille" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\n", + "## $ r_p(t) = \\beta_pr_m(t) + \\sum\\limits_{i}^{n}w_i \\alpha_i(t)$" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "# Modèle CAPM en tant que simple régression linéaire" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "from scipy import stats" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Help on function linregress in module scipy.stats._stats_mstats_common:\n", + "\n", + "linregress(x, y=None)\n", + " Calculate a linear least-squares regression for two sets of measurements.\n", + " \n", + " Parameters\n", + " ----------\n", + " x, y : array_like\n", + " Two sets of measurements. Both arrays should have the same length. If\n", + " only `x` is given (and ``y=None``), then it must be a two-dimensional\n", + " array where one dimension has length 2. The two sets of measurements\n", + " are then found by splitting the array along the length-2 dimension. In\n", + " the case where ``y=None`` and `x` is a 2x2 array, ``linregress(x)`` is\n", + " equivalent to ``linregress(x[0], x[1])``.\n", + " \n", + " Returns\n", + " -------\n", + " slope : float\n", + " Slope of the regression line.\n", + " intercept : float\n", + " Intercept of the regression line.\n", + " rvalue : float\n", + " Correlation coefficient.\n", + " pvalue : float\n", + " Two-sided p-value for a hypothesis test whose null hypothesis is\n", + " that the slope is zero, using Wald Test with t-distribution of\n", + " the test statistic.\n", + " stderr : float\n", + " Standard error of the estimated gradient.\n", + " \n", + " See also\n", + " --------\n", + " :func:`scipy.optimize.curve_fit` : Use non-linear\n", + " least squares to fit a function to data.\n", + " :func:`scipy.optimize.leastsq` : Minimize the sum of\n", + " squares of a set of equations.\n", + " \n", + " Notes\n", + " -----\n", + " Missing values are considered pair-wise: if a value is missing in `x`,\n", + " the corresponding value in `y` is masked.\n", + " \n", + " Examples\n", + " --------\n", + " >>> import matplotlib.pyplot as plt\n", + " >>> from scipy import stats\n", + " \n", + " Generate some data:\n", + " \n", + " >>> np.random.seed(12345678)\n", + " >>> x = np.random.random(10)\n", + " >>> y = 1.6*x + np.random.random(10)\n", + " \n", + " Perform the linear regression:\n", + " \n", + " >>> slope, intercept, r_value, p_value, std_err = stats.linregress(x, y)\n", + " >>> print(\"slope: %f intercept: %f\" % (slope, intercept))\n", + " slope: 1.944864 intercept: 0.268578\n", + " \n", + " To get coefficient of determination (R-squared):\n", + " \n", + " >>> print(\"R-squared: %f\" % r_value**2)\n", + " R-squared: 0.735498\n", + " \n", + " Plot the data along with the fitted line:\n", + " \n", + " >>> plt.plot(x, y, 'o', label='original data')\n", + " >>> plt.plot(x, intercept + slope*x, 'r', label='fitted line')\n", + " >>> plt.legend()\n", + " >>> plt.show()\n", + " \n", + " Example for the case where only x is provided as a 2x2 array:\n", + " \n", + " >>> x = np.array([[0, 1], [0, 2]])\n", + " >>> r = stats.linregress(x)\n", + " >>> r.slope, r.intercept\n", + " (2.0, 0.0)\n", + "\n" + ] + } + ], + "source": [ + "help(stats.linregress)" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "import pandas as pd" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [], + "source": [ + "import pandas_datareader as web" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "spy_etf = web.DataReader('SPY','yahoo')" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "DatetimeIndex: 1258 entries, 2015-01-23 to 2020-01-22\n", + "Data columns (total 6 columns):\n", + "High 1258 non-null float64\n", + "Low 1258 non-null float64\n", + "Open 1258 non-null float64\n", + "Close 1258 non-null float64\n", + "Volume 1258 non-null float64\n", + "Adj Close 1258 non-null float64\n", + "dtypes: float64(6)\n", + "memory usage: 68.8 KB\n" + ] + } + ], + "source": [ + "spy_etf.info()" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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HighLowOpenCloseVolumeAdj Close
Date
2015-01-23206.100006204.809998205.789993204.970001117516800.0185.742508
2015-01-26205.559998203.850006204.710007205.44999792009700.0186.177475
2015-01-27204.119995201.740005202.970001202.740005134044600.0183.721680
2015-01-28204.289993199.910004204.169998200.139999168514300.0181.365585
2015-01-29202.300003198.679993200.380005201.990005173585400.0183.042038
\n", + "
" + ], + "text/plain": [ + " High Low Open Close Volume \\\n", + "Date \n", + "2015-01-23 206.100006 204.809998 205.789993 204.970001 117516800.0 \n", + "2015-01-26 205.559998 203.850006 204.710007 205.449997 92009700.0 \n", + "2015-01-27 204.119995 201.740005 202.970001 202.740005 134044600.0 \n", + "2015-01-28 204.289993 199.910004 204.169998 200.139999 168514300.0 \n", + "2015-01-29 202.300003 198.679993 200.380005 201.990005 173585400.0 \n", + "\n", + " Adj Close \n", + "Date \n", + "2015-01-23 185.742508 \n", + "2015-01-26 186.177475 \n", + "2015-01-27 183.721680 \n", + "2015-01-28 181.365585 \n", + "2015-01-29 183.042038 " + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "spy_etf.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [], + "source": [ + "# prendre les dates du DatetimeIndex de spy_etf\n", + "start = pd.to_datetime('2015-01-23')\n", + "end = pd.to_datetime('2020-01-22')" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [], + "source": [ + "aapl = web.DataReader('AAPL','yahoo',start,end)" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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HighLowOpenCloseVolumeAdj Close
Date
2015-01-23113.750000111.529999112.300003112.98000346464800.0103.807991
2015-01-26114.360001112.800003113.739998113.09999855615000.0103.918228
2015-01-27112.480003109.029999112.419998109.13999995568700.0100.279716
2015-01-28118.120003115.309998117.629997115.309998146477100.0105.948822
2015-01-29119.190002115.559998116.320000118.90000284436400.0109.247391
\n", + "
" + ], + "text/plain": [ + " High Low Open Close Volume \\\n", + "Date \n", + "2015-01-23 113.750000 111.529999 112.300003 112.980003 46464800.0 \n", + "2015-01-26 114.360001 112.800003 113.739998 113.099998 55615000.0 \n", + "2015-01-27 112.480003 109.029999 112.419998 109.139999 95568700.0 \n", + "2015-01-28 118.120003 115.309998 117.629997 115.309998 146477100.0 \n", + "2015-01-29 119.190002 115.559998 116.320000 118.900002 84436400.0 \n", + "\n", + " Adj Close \n", + "Date \n", + "2015-01-23 103.807991 \n", + "2015-01-26 103.918228 \n", + "2015-01-27 100.279716 \n", + "2015-01-28 105.948822 \n", + "2015-01-29 109.247391 " + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "aapl.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [], + "source": [ + "import matplotlib.pyplot as plt\n", + "%matplotlib inline" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 13, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "aapl['Close'].plot(label='AAPL',figsize=(10,8))\n", + "spy_etf['Close'].plot(label='SPY Index')\n", + "plt.legend()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Compaison de Rendements Cumulatifs" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [], + "source": [ + "aapl['Cumulative'] = aapl['Close']/aapl['Close'].iloc[0]\n", + "spy_etf['Cumulative'] = spy_etf['Close']/spy_etf['Close'].iloc[0]" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0.5, 1.0, 'Cumulative Return')" + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "aapl['Cumulative'].plot(label='AAPL',figsize=(10,8))\n", + "spy_etf['Cumulative'].plot(label='SPY Index')\n", + "plt.legend()\n", + "plt.title('Cumulative Return')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Obtenir un Rendement Quotidien" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [], + "source": [ + "aapl['Daily Return'] = aapl['Close'].pct_change(1)\n", + "spy_etf['Daily Return'] = spy_etf['Close'].pct_change(1)" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 17, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", 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+ "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "spy_etf['Daily Return'].hist(bins=100)" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [], + "source": [ + "beta,alpha,r_value,p_value,std_err = stats.linregress(aapl['Daily Return'].iloc[1:],spy_etf['Daily Return'].iloc[1:])" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.36427945112845933" + ] + }, + "execution_count": 21, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "beta" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "7.509655057407941e-05" + ] + }, + "execution_count": 22, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "alpha" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.6716569379192504" + ] + }, + "execution_count": 23, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "r_value" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Et si nos actions étaient entièrement lié au SP500 ?" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Date\n", + "2015-01-23 NaN\n", + "2015-01-26 0.002342\n", + "2015-01-27 -0.013191\n", + "2015-01-28 -0.012824\n", + "2015-01-29 0.009244\n", + "Name: Daily Return, dtype: float64" + ] + }, + "execution_count": 24, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "spy_etf['Daily Return'].head()" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [], + "source": [ + "noise = np.random.normal(0,0.001,len(spy_etf['Daily Return'].iloc[1:]))" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 7.33560734e-05, -1.10514969e-03, 3.59585924e-04, ...,\n", + " 2.50719947e-04, -4.33730167e-05, 3.05482906e-04])" + ] + }, + "execution_count": 27, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "noise" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Date\n", + "2015-01-26 0.002415\n", + "2015-01-27 -0.014296\n", + "2015-01-28 -0.012465\n", + "2015-01-29 0.009031\n", + "2015-01-30 -0.010271\n", + " ... \n", + "2020-01-15 0.000974\n", + "2020-01-16 0.007649\n", + "2020-01-17 0.003363\n", + "2020-01-21 -0.002002\n", + "2020-01-22 0.002298\n", + "Name: Daily Return, Length: 1257, dtype: float64" + ] + }, + "execution_count": 28, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "spy_etf['Daily Return'].iloc[1:] + noise" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [], + "source": [ + "beta,alpha,r_value,p_value,std_err = stats.linregress(spy_etf['Daily Return'].iloc[1:]+noise,spy_etf['Daily Return'].iloc[1:])" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.9856347921712466" + ] + }, + "execution_count": 30, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "beta" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "-5.02497565290158e-06" + ] + }, + "execution_count": 31, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "alpha" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "On dirait que notre compréhension est correcte !" + ] + } + ], + "metadata": { + "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": "3.7.5" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/09-Python-Finance-Fondamentaux/AAPL_CLOSE b/09-Python-Finance-Fondamentaux/AAPL_CLOSE new file mode 100644 index 0000000..3f3d4e4 --- /dev/null +++ b/09-Python-Finance-Fondamentaux/AAPL_CLOSE @@ -0,0 +1,1259 @@ +Date,Adj. Close +2012-01-03,52.848786580038 +2012-01-04,53.132802382246 +2012-01-05,53.722681356062 +2012-01-06,54.284287263595 +2012-01-09,54.198182925369 +2012-01-10,54.392238971221 +2012-01-11,54.303564354242 +2012-01-12,54.154488186568 +2012-01-13,53.95143616508 +2012-01-17,54.579869320191 +2012-01-18,55.14661578523 +2012-01-19,54.971836830025 +2012-01-20,54.014407994529 +2012-01-23,54.928013577286 +2012-01-24,54.02854452767 +2012-01-25,57.402035390997 +2012-01-26,57.141152097567 +2012-01-27,57.481714032341 +2012-01-30,58.218098895078 +2012-01-31,58.664042258726 +2012-02-01,58.626773216807 +2012-02-02,58.489263303521 +2012-02-03,59.075286859207 +2012-02-06,59.626611651728 +2012-02-07,60.25118938871 +2012-02-08,61.260023799267 +2012-02-09,63.379218631125 +2012-02-10,63.411347115537 +2012-02-13,64.591105063169 +2012-02-14,65.472710675452 +2012-02-15,63.957531350552 +2012-02-16,64.540984627486 +2012-02-17,64.529418373097 +2012-02-21,66.165400799389 +2012-02-22,65.932790572241 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pas que ce notebook ne fonctionnera que sur Quantopian ! Créez un compte et téléversez (upload) le fichier de ce notebook. Ces commandes et fonctions ne fonctionneront que sur la plateforme de trading Quantopian !**\n", + "\n", + "Notez qu'une grande partie du texte écrit dans ce notebook en Markdown provient directement des documents et tutoriels Quantopian, regardez les bien aussi, ils sont bien faits !\n", + "\n", + "## Research\n", + "\n", + "Le format notebook nous permet de rassembler facilement les informations sur les différents titres au sein de la plateforme Quantopian. Il faut garder à l'esprit que cela est différent de la plateforme de codage de base de Quantopian, qui se concentre sur la mise en œuvre effective et le backtesting des stratégies de trading." + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "import numpy as np\n", + "import pandas as pd\n", + "import matplotlib.pyplot as plt\n", + "# PAS BESOIN D'UTILISER LA COMMANDE MAGIQUE SUR QUANTOPIAN !" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": true + }, + "source": [ + "## Obtenir des informations\n", + "\n", + "Passons en revue quelques fonctions clés :\n", + "\n", + "* get_pricing()\n", + "* symbols()\n", + "* local_csv()\n", + "* get_backtest()\n", + "* get_fundamentals()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## get_pricing()\n", + "\n", + "La fonction `get_pricing` permet d'accéder à 12 ans de données sur le prix des actions américaines : les mêmes données que celles utilisées par le backtester Quantopian.\n", + "\n", + "`get_pricing` retourne un objet Pandas. Il peut s'agir d'un dataframe ou d'une série, selon les valeurs d'entrée. " + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [], + "source": [ + "mcdon = get_pricing('MCD',\n", + " start_date='2017-01-01', \n", + " end_date = '2017-02-01', \n", + " frequency='minute')" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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open_pricehighlowclose_pricevolumeprice
2017-01-03 14:31:00+00:00121.86121.86121.57121.63123665.0121.63
2017-01-03 14:32:00+00:00121.73121.92121.41121.4513536.0121.45
2017-01-03 14:33:00+00:00121.45121.79121.45121.5217562.0121.52
2017-01-03 14:34:00+00:00121.45121.80121.44121.7512072.0121.75
2017-01-03 14:35:00+00:00121.74122.00121.66121.998100.0121.99
\n", + "
" + ], + "text/plain": [ + " open_price high low close_price volume \\\n", + "2017-01-03 14:31:00+00:00 121.86 121.86 121.57 121.63 123665.0 \n", + "2017-01-03 14:32:00+00:00 121.73 121.92 121.41 121.45 13536.0 \n", + "2017-01-03 14:33:00+00:00 121.45 121.79 121.45 121.52 17562.0 \n", + "2017-01-03 14:34:00+00:00 121.45 121.80 121.44 121.75 12072.0 \n", + "2017-01-03 14:35:00+00:00 121.74 122.00 121.66 121.99 8100.0 \n", + "\n", + " price \n", + "2017-01-03 14:31:00+00:00 121.63 \n", + "2017-01-03 14:32:00+00:00 121.45 \n", + "2017-01-03 14:33:00+00:00 121.52 \n", + "2017-01-03 14:34:00+00:00 121.75 \n", + "2017-01-03 14:35:00+00:00 121.99 " + ] + }, + "execution_count": 18, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "mcdon.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "DatetimeIndex: 8190 entries, 2017-01-03 14:31:00+00:00 to 2017-02-01 21:00:00+00:00\n", + "Data columns (total 6 columns):\n", + "open_price 8188 non-null float64\n", + "high 8188 non-null float64\n", + "low 8188 non-null float64\n", + "close_price 8188 non-null float64\n", + "volume 8190 non-null float64\n", + "price 8190 non-null float64\n", + "dtypes: float64(6)\n", + "memory usage: 447.9 KB\n" + ] + } + ], + "source": [ + "mcdon.info()" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": {}, + "outputs": [], + "source": [ + "# On ne peut revenir que 12 ans en arrière\n", + "# ce qui est vraiment tout ce dont vous avez besoin pour l'algo de trading', \n", + "# remonter plus loin est probablement plus du bruit que du signal.\n", + "\n", + "mcdon = get_pricing('MCD',\n", + " start_date='2005-01-01', \n", + " end_date = '2017-01-01', \n", + " frequency='daily')" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 34, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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LY2aGiIiIiKgLyS2qcWqra9DjVE45AGB4/0gAQEmFZcL/zsP5onO9Ecw4ajo5v29cCB66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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "mcdon['close_price'].plot()" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 35, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "mcdon['close_price'].pct_change(1).hist(bins=100,figsize=(6,4))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## symbols()\n", + "\n", + "By default `symbols` returns the security object for a ticker symbol. Specify a ticker symbol, or list of symbols, as a string and get a list of security objects back. \n", + "\n", + "- Use `symbol_reference_date` to identify which date you want the symbol back for a particular ticker symbol. \n", + "- Specify how you would like missing results to be handled with `handle_missing`\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "metadata": {}, + "outputs": [], + "source": [ + "mcdon_eq_info = symbols('MCD')" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 41, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "type(mcdon_eq_info)" + ] + }, + { + "cell_type": "code", + "execution_count": 48, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "end_date\n", + "2017-07-19 00:00:00+00:00\n", + "\n", + "\n", + "exchange\n", + "NYSE\n", + "\n", + "\n", + "auto_close_date\n", + "2017-07-24 00:00:00+00:00\n", + "\n", + "\n", + "symbol\n", + "MCD\n", + "\n", + "\n", + "first_traded\n", + "None\n", + "\n", + "\n", + "asset_name\n", + "MCDONALDS CORP\n", + "\n", + "\n", + "exchange_full\n", + "NEW YORK STOCK EXCHANGE\n", + "\n", + "\n", + "sid\n", + "4707\n", + "\n", + "\n", + "start_date\n", + "2002-01-01 00:00:00+00:00\n", + "\n", + "\n" + ] + } + ], + "source": [ + "for key in mcdon_eq_info.to_dict():\n", + " print(key)\n", + " print(mcdon_eq_info.to_dict()[key])\n", + " print('\\n')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## get_fundamentals()\n", + "\n", + "La fonction `get_fundamentals` fournit un accès programmatique à la base de données fondamentale Quantopian. Basé sur les données fournies par Morningstar, `get_fundamentals` fournit plus de 600 mesures d'entreprises datant de 2002 (pour correspondre aux données de tarification de Quantopian). \n", + "\n", + "Les données utilisées par cette fonction de recherche sont les mêmes que celles utilisées par la fonction `get_fundamentals` utilisée dans l'IDE Quantopian. C'est décrit dans les documents d'aide Quantopian: http://www.quantopian.com/help/fundamentals.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 49, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# Il faut faire ça d'abord dans le notebook:\n", + "fundamentals = init_fundamentals()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The get_fundamentals() function takes in a SQLAlchemy query which can be quite complicated and strange looking at first. Basically it allows you to filter by a variety of fundamentals (things like Market Cap, P/E Ratio, or even city of HQ). Check out the link above for all the things you can filter by!\n", + "\n", + "Let's walk through a few query examples.\n", + "\n", + "First call fundamentals and use tab to check out the various options:" + ] + }, + { + "cell_type": "code", + "execution_count": 55, + "metadata": {}, + "outputs": [ + { + "ename": "SyntaxError", + "evalue": "invalid syntax (, line 1)", + "output_type": "error", + "traceback": [ + "\u001b[0;36m File \u001b[0;32m\"\"\u001b[0;36m, line \u001b[0;32m1\u001b[0m\n\u001b[0;31m fundamentals. # call tab here as in the video!\u001b[0m\n\u001b[0m ^\u001b[0m\n\u001b[0;31mSyntaxError\u001b[0m\u001b[0;31m:\u001b[0m invalid syntax\n" + ] + } + ], + "source": [ + "fundamentals. # call tab here as in the video!" + ] + }, + { + "cell_type": "code", + "execution_count": 57, + "metadata": {}, + "outputs": [], + "source": [ + "# Market Cap\n", + "my_query = query(fundamentals.valuation.market_cap)" + ] + }, + { + "cell_type": "code", + "execution_count": 59, + "metadata": {}, + "outputs": [], + "source": [ + "my_funds = get_fundamentals(my_query,'2017-01-01')" + ] + }, + { + "cell_type": "code", + "execution_count": 62, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Index: 1 entries, market_cap to market_cap\n", + "Columns: 5551 entries, Equity(21 [AAME]) to Equity(50554 [HEBT])\n", + "dtypes: float64(5551)\n", + "memory usage: 43.4+ KB\n" + ] + } + ], + "source": [ + "my_funds.info()" + ] + }, + { + "cell_type": "code", + "execution_count": 64, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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Equity(21 [AAME])Equity(24 [AAPL])Equity(25 [ARNC_PR])Equity(31 [ABAX])Equity(39 [DDC])Equity(41 [ARCB])Equity(52 [ABM])Equity(53 [ABMD])Equity(62 [ABT])Equity(64 [ABX])...Equity(50533 [CNDT])Equity(50534 [HGV])Equity(50535 [PK])Equity(50537 [WRD])Equity(50539 [TIG])Equity(50540 [TRVG])Equity(50541 [KEY_PRI])Equity(50544 [KEG])Equity(50547 [YTRA])Equity(50554 [HEBT])
market_cap80256300.06.224410e+11NaN1.190750e+09808964000.0722555000.02.265560e+094.927210e+095.640420e+101.910140e+10...3.029760e+092.559150e+095.890500e+091.734880e+092.265930e+092.741480e+09NaN26639500.0329764000.091800000.0
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1 rows × 5551 columns

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" + ], + "text/plain": [ + " Equity(21 [AAME]) Equity(24 [AAPL]) Equity(25 [ARNC_PR]) \\\n", + "market_cap 80256300.0 6.224410e+11 NaN \n", + "\n", + " Equity(31 [ABAX]) Equity(39 [DDC]) Equity(41 [ARCB]) \\\n", + "market_cap 1.190750e+09 808964000.0 722555000.0 \n", + "\n", + " Equity(52 [ABM]) Equity(53 [ABMD]) Equity(62 [ABT]) \\\n", + "market_cap 2.265560e+09 4.927210e+09 5.640420e+10 \n", + "\n", + " Equity(64 [ABX]) ... Equity(50533 [CNDT]) \\\n", + "market_cap 1.910140e+10 ... 3.029760e+09 \n", + "\n", + " Equity(50534 [HGV]) Equity(50535 [PK]) Equity(50537 [WRD]) \\\n", + "market_cap 2.559150e+09 5.890500e+09 1.734880e+09 \n", + "\n", + " Equity(50539 [TIG]) Equity(50540 [TRVG]) \\\n", + "market_cap 2.265930e+09 2.741480e+09 \n", + "\n", + " Equity(50541 [KEY_PRI]) Equity(50544 [KEG]) \\\n", + "market_cap NaN 26639500.0 \n", + "\n", + " Equity(50547 [YTRA]) Equity(50554 [HEBT]) \n", + "market_cap 329764000.0 91800000.0 \n", + "\n", + "[1 rows x 5551 columns]" + ] + }, + "execution_count": 64, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Basically just returns the market cap of everything\n", + "# for 2017-01-01\n", + "my_funds.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 74, + "metadata": {}, + "outputs": [], + "source": [ + "# What you usualy do is filter by other qualities after the query!\n", + "\n", + "# Only get companies worth 500 billion or more (that's a lot of dough!)\n", + "big_companies = (query(fundamentals.valuation.market_cap).\n", + " filter(fundamentals.valuation.market_cap > 500000000000) )" + ] + }, + { + "cell_type": "code", + "execution_count": 75, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "my_big_funds = get_fundamentals(big_companies,'2017-07-19')" + ] + }, + { + "cell_type": "code", + "execution_count": 76, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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Equity(24 [AAPL])Equity(5061 [MSFT])Equity(26578 [GOOG_L])Equity(46631 [GOOG])
market_cap7.824930e+115.659140e+116.752440e+116.752440e+11
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" + ], + "text/plain": [ + " Equity(24 [AAPL]) Equity(5061 [MSFT]) Equity(26578 [GOOG_L]) \\\n", + "market_cap 7.824930e+11 5.659140e+11 6.752440e+11 \n", + "\n", + " Equity(46631 [GOOG]) \n", + "market_cap 6.752440e+11 " + ] + }, + "execution_count": 76, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# On \n", + "my_big_funds" + ] + }, + { + "cell_type": "code", + "execution_count": 70, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "782000000000.0" + ] + }, + "execution_count": 70, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "7.82 * 10**11" + ] + }, + { + "cell_type": "code", + "execution_count": 50, + "metadata": {}, + "outputs": [ + { + "ename": "TypeError", + "evalue": "get_fundamentals() takes at least 2 arguments (0 given)", + "output_type": "error", + "traceback": [ + "\u001b[0;31m\u001b[0m", + "\u001b[0;31mTypeError\u001b[0mTraceback (most recent call last)", + "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mget_fundamentals\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m", + "\u001b[0;31mTypeError\u001b[0m: get_fundamentals() takes at least 2 arguments (0 given)" + ] + } + ], + "source": [ + "get_fundamentals()" + ] + } + ], + "metadata": { + "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": "3.7.5" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/10-Plateforme-Quantopian/.ipynb_checkpoints/02-Basic-Algorithm-Methods-checkpoint.ipynb b/10-Plateforme-Quantopian/.ipynb_checkpoints/02-Basic-Algorithm-Methods-checkpoint.ipynb new file mode 100644 index 0000000..bca4225 --- /dev/null +++ b/10-Plateforme-Quantopian/.ipynb_checkpoints/02-Basic-Algorithm-Methods-checkpoint.ipynb @@ -0,0 +1,373 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Basic Algorithm Methods\n", + "\n", + "Let's algorithmically test our earlier optimized tech portfolio strategy with Quantopian!\n", + "\n", + "#### THIS CODE ONLY WORKS ON QUANTOPIAN. EACH CELL CORRESPONDS WITH A PART OF THE VIDEO LECTURE. MAKE SURE TO WATCH THE VIDEOS FOR CLARITY ON THIS!" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**initialize()**\n", + "\n", + "initialize() is called exactly once when our algorithm starts and requires context as input.\n", + "\n", + "context is an augmented Python dictionary used for maintaining state during our backtest or live trading, and can be referenced in different parts of our algorithm. context should be used instead of global variables in the algorithm. Properties can be accessed using dot notation (context.some_property)." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "** handle_data() **\n", + "\n", + "handle_data() is called once at the end of each minute and requires context and data as input. context is a reference to the same dictionary in initialize() and data is an object that stores several API functions." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Our Tech Stock Optimized Portfolio\n", + "\n", + "Let's use the tech stock portfolio we calculated earlier. Keep in mind that handle_data() is readjusting our portfolio every minute! That may be unreasonable for certain algorithms, but for this example, we will just continue with these basics functions." + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "def initialize(context):\n", + " # Reference to Tech Stocks\n", + " context.aapl = sid(24)\n", + " context.csco = sid(1900)\n", + " context.amzn = sid(16841)\n", + "\n", + "def handle_data(context, data):\n", + " # Position our portfolio optimization!\n", + " order_target_percent(context.aapl, .27)\n", + " order_target_percent(context.csco, .20)\n", + " order_target_percent(context.amzn, .53)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Grabbing Current Data" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### data.current()\n", + "data.current() can be used to retrieve the most recent value of a given field(s) for a given asset(s). data.current() requires two arguments: the asset or list of assets, and the field or list of fields being queried. Possible fields include 'price', 'open', 'high', 'low', 'close', and 'volume'. The output type will depend on the input types" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "def initialize(context):\n", + " # Reference to Tech Stocks\n", + " context.techies = [sid(16841),sid(24),sid(1900)]\n", + "\n", + "def handle_data(context, data):\n", + " # Position our portfolio optimization!\n", + " tech_close = data.current(context.techies,'close')\n", + " print(type(tech_close)) # Pandas Series\n", + " print(tech_close) # Closing Prices " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### Note! You can use data.is_stale(sid(#)) to check if the results of data.current() where generated at the current bar (the timeframe) or were forward filled from a previous time." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Checking for trading" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### data.can_trade()\n", + "\n", + "data.can_trade() is used to determine if an asset(s) is currently listed on a supported exchange and can be ordered. If data.can_trade() returns True for a particular asset in a given minute bar, we are able to place an order for that asset in that minute. This is an important guard to have in our algorithm if we hand-pick the securities that we want to trade. It requires a single argument: an asset or a list of assets." + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "def initialize(context):\n", + " # Reference to amazn\n", + " context.amzn = sid(16841)\n", + " \n", + "def handle_data(context, data):\n", + " # This insures we don't hit an exception!\n", + " if data.can_trade(sid(16841)):\n", + " order_target_percent(context.amzn, 1.0)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Checking Historical Data\n", + "\n", + "When your algorithm calls data.history on equities, the returned data is adjusted for splits, mergers, and dividends as of the current simulation date. In other words, when your algorithm asks for a historical window of prices, and there is a split in the middle of that window, the first part of that window will be adjusted for the split. This adustment is done so that your algorithm can do meaningful calculations using the values in the window.\n", + "\n", + "This code queries the last 20 days of price history for a static set of securities. Specifically, this returns the closing daily price for the last 20 days, including the current price for the current day. Equity prices are split- and dividend-adjusted as of the current date in the simulation:" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "\n", + "def initialize(context):\n", + " # AAPL, MSFT, and SPY\n", + " context.assets = [sid(24), sid(1900), sid(16841)]\n", + "\n", + "def before_trading_start(context,data):\n", + " price_history = data.history(context.assets,fields=\"price\", bar_count=5, frequency=\"1d\")\n", + " \n", + " print(price_history)\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The bar_count field specifies the number of days or minutes to include in the pandas DataFrame returned by the history function. This parameter accepts only integer values.\n", + "\n", + "The frequency field specifies how often the data is sampled: daily or minutely. Acceptable inputs are ‘1d’ or ‘1m’. For other frequencies, use the pandas resample function." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Examples\n", + "Below are examples of code along with explanations of the data returned.\n", + "\n", + "### Daily History\n", + "\n", + "Use \"1d\" for the frequency. The dataframe returned is always in daily bars. The bars never span more than one trading day. For US equities, a daily bar captures the trade activity during market hours (usually 9:30am-4:00pm ET). For US futures, a daily bar captures the trade activity from 6pm-6pm ET (24 hours). For example, the Monday daily bar captures trade activity from 6pm the day before (Sunday) to 6pm on the Monday. Tuesday's daily bar will run from 6pm Monday to 6pm Tuesday, etc. For either asset class, the last bar, if partial, is built using the minutes of the current day.\n", + "\n", + "### Examples (assuming context.assets exists):\n", + "\n", + "* data.history(context.assets, \"price\", 1, \"1d\") returns the current price.\n", + "* data.history(context.assets, \"volume\", 1, \"1d\") returns the volume since the current day's open, even if it is partial.\n", + "* data.history(context.assets, \"price\", 2, \"1d\") returns yesterday's close price and the current price.\n", + "* data.history(context.assets, \"price\", 6, \"1d\") returns the prices for the previous 5 days and the current price.\n", + "\n", + "\n", + "### Minute History\n", + "\n", + "Use \"1m\" for the frequency.\n", + "\n", + "Examples (assuming context.assets exists):\n", + "\n", + "* data.history(context.assets, \"price\", 1, \"1m\") returns the current price.\n", + "* data.history(context.assets, \"price\", 2, \"1m\") returns the previous minute's close price and the current price.\n", + "* data.history(context.assets, \"volume\", 60, \"1m\") returns the volume for the previous 60 minutes." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Scheduling\n", + "\n", + "Use schedule_function to indicate when you want other functions to occur. The functions passed in must take context and data as parameters." + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "def initialize(context):\n", + " context.appl = sid(49051)\n", + "\n", + " # At ebginning of trading week\n", + " # At Market Open, set 10% of portfolio to be apple\n", + " schedule_function(open_positions, date_rules.week_start(), time_rules.market_open())\n", + " \n", + " # At end of trading week\n", + " # 30 min before market close, dump all apple stock.\n", + " schedule_function(close_positions, date_rules.week_end(), time_rules.market_close(minutes=30))\n", + "\n", + "def open_positions(context, data):\n", + " order_target_percent(context.appl, 0.10)\n", + "\n", + "def close_positions(context, data):\n", + " order_target_percent(context.appl, 0)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Portfolio Information\n", + "\n", + "You can get portfolio information and record it!" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "def initialize(context):\n", + " context.amzn = sid(16841)\n", + " context.ibm = sid(3766)\n", + "\n", + " schedule_function(rebalance, date_rules.every_day(), time_rules.market_open())\n", + " schedule_function(record_vars, date_rules.every_day(), time_rules.market_close())\n", + "\n", + "def rebalance(context, data):\n", + " # Half of our portfolio long on amazn\n", + " order_target_percent(context.amzn, 0.50)\n", + " # Half is shorting IBM\n", + " order_target_percent(context.ibm, -0.50)\n", + "\n", + "def record_vars(context, data):\n", + "\n", + " # Plot the counts\n", + " record(amzn_close=data.current(context.amzn,'close'))\n", + " record(ibm_close=data.current(context.ibm,'close'))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Slippage and Commision \n", + "\n", + "### Slippage\n", + "Slippage is where a simulation estimates the impact of orders on the fill rate and execution price they receive. When an order is placed for a trade, the market is affected. Buy orders drive prices up, and sell orders drive prices down; this is generally referred to as the price_impact of a trade. Additionally, trade orders do not necessarily fill instantaneously. Fill rates are dependent on the order size and current trading volume of the ordered security. The volume_limit determines the fraction of a security's trading volume that can be used by your algorithm.\n", + "\n", + "In backtesting and non-brokerage paper trading (Quantopian paper trading), a slippage model can be specified in initialize() using set_slippage(). There are different builtin slippage models that can be used, as well as the option to set a custom model. By default (if a slippage model is not specified), the following volume share slippage model is used:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "set_slippage(slippage.VolumeShareSlippage(volume_limit=0.025, price_impact=0.1))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Using the default model, if an order of 60 shares is placed for a given stock, then 1000 shares of that stock trade in each of the next several minutes and the volume_limit is 0.025, then our trade order will be split into three orders (25 shares, 25 shares, and 10 shares) that execute over the next 3 minutes.\n", + "\n", + "At the end of each day, all open orders are canceled, so trading liquid stocks is generally a good idea. Additionally, orders placed exactly at market close will not have time to fill, and will be canceled." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Commision\n", + "\n", + "To set the cost of trades, we can specify a commission model in initialize() using set_commission(). By default (if a commission model is not specified), the following commission model is used:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "set_commission(commission.PerShare(cost=0.0075, min_trade_cost=1))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The default commission model charges $0.0075 per share, with a minimum trade cost of $1.\n", + "\n", + "Slippage and commission models can have an impact on the performance of a backtest. The default models used by Quantopian are fairly realistic, and it is highly recommended that you use them." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Great Job!\n", + "\n", + "Those are all the basics of Quantopians Tutorial! With these key functions you actually know enough to begin trading! " + ] + } + ], + "metadata": { + "anaconda-cloud": {}, + "kernelspec": { + "display_name": "Python [conda root]", + "language": "python", + "name": "conda-root-py" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.5.3" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/10-Plateforme-Quantopian/.ipynb_checkpoints/03-First-Trading-Algorithm-checkpoint.ipynb b/10-Plateforme-Quantopian/.ipynb_checkpoints/03-First-Trading-Algorithm-checkpoint.ipynb new file mode 100644 index 0000000..4ee8015 --- /dev/null +++ b/10-Plateforme-Quantopian/.ipynb_checkpoints/03-First-Trading-Algorithm-checkpoint.ipynb @@ -0,0 +1,677 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# First Trading Algorithm\n", + "## Pairs Trading\n", + "\n", + "Pairs trading is a strategy that uses two stocks that are highly correlated. We can then use the difference in price between the two stocks as signal if one moves out of correlation with the other. It is an older strategy that is used classically as a guide to beginning algorithmic trading. There is a fantastic full guide and write up on Investopedia you can find [here](http://www.investopedia.com/university/guide-pairs-trading/)! **I highly recommend reading the article in full before continuing, it is entertaining and informative!**\n", + "\n", + "\n", + "Let's create our first basic trading algorithm! This is an exercise in using quantopian, **NOT** a realistic representation of what a good algorithm is! Never use something as simple as this in the real world! This is an extremely simplified version of Pairs Trading, we won't be considering factors such as cointegration!" + ] + }, + { + "cell_type": "code", + "execution_count": 103, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "import numpy as np\n", + "import pandas as pd\n", + "import matplotlib.pyplot as plt\n", + "%matplotlib inline\n", + "\n", + "import quandl" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## United Airlines and American Airlines" + ] + }, + { + "cell_type": "code", + "execution_count": 104, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "start = '07-01-2015'\n", + "end = '07-01-2017'" + ] + }, + { + "cell_type": "code", + "execution_count": 105, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "united = quandl.get('WIKI/UAL',start_date=start,end_date=end)\n", + "american = quandl.get('WIKI/AAL',start_date=start,end_date=end)" + ] + }, + { + "cell_type": "code", + "execution_count": 106, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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" + ], + "text/plain": [ + " Open High Low Close Volume Ex-Dividend Split Ratio \\\n", + "Date \n", + "2015-01-07 53.38 53.65 52.12 53.01 10069816.0 0.0 1.0 \n", + "2015-01-08 53.48 54.28 53.25 53.66 9672064.0 0.0 1.0 \n", + "2015-01-09 53.67 53.91 51.82 52.02 12290046.0 0.0 1.0 \n", + "2015-01-12 51.06 51.45 49.20 49.58 18261336.0 0.0 1.0 \n", + "2015-01-13 50.12 51.43 49.46 50.40 12259271.0 0.0 1.0 \n", + "\n", + " Adj. Open Adj. High Adj. Low Adj. Close Adj. Volume \n", + "Date \n", + "2015-01-07 52.103884 52.367430 50.874006 51.742730 10069816.0 \n", + "2015-01-08 52.201494 52.982369 51.976992 52.377191 9672064.0 \n", + "2015-01-09 52.386951 52.621214 50.581178 50.776397 12290046.0 \n", + "2015-01-12 49.839347 50.220023 48.023812 48.394728 18261336.0 \n", + "2015-01-13 48.921819 50.200501 48.277597 49.195125 12259271.0 " + ] + }, + "execution_count": 107, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "american.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 108, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 108, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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008CJfWZlCP8JeLMvAq76DbDganNfWgaQVcSYRKLT5ZKLme2PmfGdYHRYMs77\nXorueIg7WH8vsPmvwM4n4z0SQsYnzQeB4hlS2jWJoBhOBCrPlklse5839x1/X5ZZhSIa1v4GePbr\nUtmhIBwxXCICqPuEbH/qn1Jb8B+fAvo6ZZ91Ah0g/0lO+ZQIYJ9zlTEmkeh0HB/9mGjT2QD88xbg\n/kuB3c+NfLynVZxgVetaS7EfIyKJi7cTePdXsl73QXzHQsh4pWl/UnWeU1AMJwLpmcDM8+ULX9fl\nX81GEaS3vAR8dTuw/PNSGcLbDpTNt3/unFJDDDdLNri0SvLGjbtN5y0jO/Q5FLllQNeJ8H8+4h7c\nUFFi38vmes1638d0HfjVEuCXi8wyglWXSolAlXEn45P198gdrKIZQP2OeI+GkPHH0CDQfAgonhnv\nkcQciuFEYe5qaXRRv0NuY/Q0S+MMRdkCALqxvtD+eXNKRMB2N8nEO8CsDKGcN/8JdMFIywQGekc/\njrgXNzjDe18A8iZL3KfTL3az/VGzFOChNbJcehMw6B29ZjZJXHrbxRWeczGw6ONA0z5pCEQIcY62\nGvkspTNMXMuci2W59wVpsQyYVR0AoHxB4PXRyCmROERbDZBdLPuUKG49Kku7znBqhpRjI4mFrpvr\n7bXA8S3Amp/FxyUe6AMOvA7MWQXklgMddeb+l74HPP4Z8+Lsg8ckmjPzPCAjV/5vRJsdTwA/m+c7\nmZVEn/V/kIug874lFXb0ofCaERFCRqfZmJiaZGXVAJtiWNO0Qk3THtM0bbemabs0TTtT07RiTdNe\n1jRtn7EsivZgk5q8icDkU+ULv/mQ7LNevZXMBaABBRXSgtkuqgpE4x5TBCtRrFou+2eGg5GaRjGc\niAx4zfV3fgnccy7w6g/FhY01R9dKW++qS0QMdzbIxND7V0uTl2WfBr65X96r+hCQP1my67POB/a+\n5Cvso8GOJyU+xImisWXzg8CsC6WSTflJso9RCUKcRVVpoTMclF8CeEHX9XkAFgPYBeBbAF7VdX0O\ngFeNbRJNqlZLVrhmozhi1ioPGdlA6Vxg0uLwzqnEcFeDuMSAxRk2xHCgds6BSM0wm3GQxGHAcrt5\n2hnAFXfJpLTettiPZd9LUtZnxrkS16nfDvzpErkA/NgDwBW/kPf63Mvk+MqVsqxaLRGPY+9Hb2y6\nDhx5R9ZDdW0kzqLrcoeg3Ih/Fc2QC3ROoiPEGfp7RVcc3wJk5IkRkWSkjXaApmkFAM4BcBMA6Lre\nB6BP07RlGNedAAAgAElEQVSrAJxnHPYAgDcA/Ec0BkkMqi4B3rhTqkpULB/5+CceGVkTeDSySyzr\nE3yX4TrDKenA0EB4r0/ij8peXnEXsOxmWX/lv2QyZqzZ+4IIXE+u3A0BxAG+9RXfW3dX3i3CODVd\ntudcAnjygQc/DNz66ug1tsfCib1m6TmK4djR1ylzEdTFekqKzJGopxgmxBE23CsxNECaaWlafMcT\nB+w4wzMANAK4X9O0zZqm/VHTtBwA5bquq1BhHYCAlxKapn1W07SNmqZtbGx0SQ3TRGXiyYDHiEAU\nVY58vGi6OfnNLjlWMWzEIzJyxeVVZdJsO8OMSSQkSgxbL6Qy82XSUixpOiBlfaoukW3re9l/drOm\nmUIYAHJLgc+8JuW3tkapPfPhNeY6xXDsUBVq1F0sQFzi+g8Cx2K6moBtj/i2pieEBKdxj7m+/HPx\nG0ccsSOG0wCcCuB3uq6fAqALfpEIXdd1DJcy8EXX9Xt0XV+m6/qy0tLSQIcQu6SkAlNOkfVAYngs\n5E821zMLZalppjuc6rFffJsxicREVQBJyzT3eQpi7wyrxhlqsqi6VZeRZ8+pKJkDVK4Adj8bnfEd\nftu8SzJWMfzM14A3fuzcmJIBJYatd7HKT5K/QUeASZ4PXCETLdf9NjbjIyTRaT4omuK6h8V0S0Ls\niOEaADW6rr9nbD8GEcf1mqZNAgBjyRklsUC1SPTkOXO+NA/wubdkYsq0M8z9SgzbrSQBMCbhFP29\nwKs/EocrJq+nnGHL3zozP/aZ4UNrgOJZ0v0IMJ3AcO52zLtCqgyc2O/s2HRdxPDsi2S7p0Xuglgn\nH9ph19PAG/8DHHzD2fGNZ1RDoJwJ5j4VmVGTiRVDQ9I9E4j9nQ1CEhFdBxp2yTyNeZfFezRxY1Qx\nrOt6HYBqTdPmGrsuBLATwFMAbjT23QjgX1EZIfHlVONXXnm2c+ectFhuMVuvCFVkwm6NYYAxCafY\n+S9gzU+BPVFyOP0ZFsMWZzizIPZiorfNzAkD5l2LUz5l/xxqYt3uZ5wbF2DmheesAtKyRAw/903g\nb9faP8fQoCnsnrwtPhMUE5FAMQn1+dTb6ndsIzBkfAb1d0d/bIQkOl0npG9B6bx4jySu2K0mcTuA\nhzRN2wZgCYA7AfwYwCpN0/YBuMjYJtGm4nTgB63A5CXRfZ0UI48ZThyDMQln2Po3WaqmJ9FmOCZh\nyQx78gFvjMXaQI9vVKNwGvC13cDKr9o/R2GFXNw5HZVQeeHKlUBWkYjhxj1Ay6HQz7PS3SSTARdd\nJ5UvXvg20NcNrPud1FEmgVGTFq0xiSyjkmePnxhut/yfYVMOQkZH1esunRv6uHHOqNUkAEDX9S0A\nlgV46EJnh0NsEYuZninGW+PiH4XxnHRAH5TbLkk4G9UR2o4BB9+UdVXaLtooB23EBLoYi+H+XiDP\nrxpK/qTwzzPvCuD1O6Ucl9VpjoTD70hXvKIZhhhuFXHr7bB/DjUhde6lEnda81P5W7fXyEXn3Eud\nGet4o7tJIjzWyJaa3+Cf3W4zWnSnetiemxA7DIthOsOEjOSKnwM3POnb5W401Ox+RiVGMjhgryHE\n9kcA6ED+VLO0XbRR3dTS/Z3hjug3sfAZR3f4pQEDMe9yADqw5/nIzwWYeeHKlXKRp5zh7iapXmEX\n1Vo6txw49z+A8pNNJ5O39H3xdgANxpd0V6Nv1RtA3p9aykgx3G6I4ZIq/k4JsUPjHvn/ZJ1Mn4RQ\nDJPAFEyVrl7hMCyGecvXh+5m4H9njH7rXteBLQ8DFWfIZEbVDjvaqKYbaX6ZYX1IarzGioFe3zGM\nlbIF4rQG+33394Qn8psPSlOayhWynVUoQrinGRj0+kYchoaA9fcGdiWHxXCZdM37yB/M2/3dzfbH\nM97RdeCRfwPuWyW/z65G34gEILWGMwtHZobbauQ9VDBVIiiEkNA07paIRJLfzaUYJs6hcsZDdIZ9\nOLZJypQdXRv6uOObgRN7gCXXS/a1/ZhMuoo2weoMA7GdRNff44wzrGkSlTj0pkQlrHQ1AT+bB/xp\ntek8joYSsYXTZJlVJFUM9CHZtl4w7PoX8Nw3gLf+b+R5uixiGJBauV/fK+usW2yy9WHgwGvyf+aF\n/5D1QHnGrMLAznD+FIlU0BkmZHQa9yR9XhigGCZOwphEYFSLYFXyKRhb/y5ZxwVXAwUVUqbOX8xF\ng0Bi2KPEcAxzw/09zjjDALDs0yJW/Wv6vv+AuImNu4Dfr5THR3OJ1e8g02h4k1UkjrDCWo+53ah7\nGyhL3NlgZF9zzX1pGVJHmc6w0FEvEwtVacf19wJTTwcu/d+Rx6q4ipW2GqBgivyenRDDR94FNv05\n8vMQ4ka6m+UiPcnzwgDFMHGSZBfD3c1A9YaR+49vluWJvcGf21YjYnjeZeJ4FU6X/Y023ctICNR0\nQznDsWq8MTQkAtNu6+/RmDALWHYL8P5ffLsrbfqzlCX84iaZsPbG/5gXK8FQv4Ng3R+tuWF12z6Q\nw93ZIOXB/G9HZgcQdeONAS/QcmT0457/plwUfeReY4cOzDzXfD9aURMZFbouf+uSKnkfORGTuP9S\n4OkvR34eQtxI3TZZUgxTDBMHSfaYxLrfAX++3PdiQNeB44bYaj1iTlbz55mvSSWOC/5TtqefKV/2\nG/4Y3TED4qClZfmKNDVbP1YxCSXI0x1yhgHg3Duklfgr/yXbXSfkb1B1ibRvPvtrsj9QFzMrw86w\nIcjK5vs+bnWBWw4bzwnwe2s/HriBSFaR5I/HMy/9J/DLRcDbvwCe/UbgY6rXS43tc+8AZp4vd0kA\niZMEItMvJtFWLRcuZQuciUkMsoEQGefse1lKok47M94jiTsUw8Q5UjNkmazOcMdxcTdVCS1AhFZn\nPVCxXG7bNx8Y+TxdB46uAxZfZ3bWysgBTv8csOe56Ncb7u8dKUJVg4O3/je8igljJVCt40jJKQFW\nfkV+h4ffsZQQMsSsuhU/mhBVYlhFR/xdFGtmWInhbr/ugZ2NQPU63y6Piqzi8R+TOPKOLF/5b2DD\nvYEjQ/U7ZLn4Opkgpxz48iDtYf1jEvU7jeMXSrOgof7IPovqto79uYS4HV2XScYzzgU8uaMfP86h\nGCbOkWrUJk5WMazaJ7cfN/epW/CLjE5lDbtGPq+7WRpcFM/y3T9tuSyjXVVioGekCC2aDlz8/4Ca\nDcCht6L7+oCl1rGDzjAALP+C1Ad+8yemGC4zxGyW0cVsNCHqbReXUo1NdT+zPq5Q7YFVowgA2P4Y\n8NPZkgFf8smR588uHv/O8LAjbuSz339g5DFtNYCWCuQataGLZ0rcQbXn9ierSC5UhoyJjA2GmC6b\nb9YkjqTW8NF1Y38uIW7nxF5pGjR3dbxH4gooholzKGc4WWMSqtWuqnUKSEQiJQ04+WOSyT22yfc5\n1RuAdb+V9eKZvo+pclKqHW208Hb6NjRQzLtclv7lq8JF10efpDZc69ihzLAiIxtYcCVQs1GcQ0++\nVBsAxH1PzQguRIeGgEdvBnY/FzizqlDOubfTrBihxLCum5P4Zl0wMmIBiCgf75lh60TQGecAa38L\nfPBP32PaauRvoy6qz/iCNP1JSQ18zqwiADrwyg+Ax26RyXYFFTLRUWW2I4lKDGfNtdjW2yYkFqg6\n7FVs9gNQDBMnSUnyCXRKtFqd4eObRQBl5gOTTxGn1cqr/y2dyICRYlhFFawuYyR0N5sumpWGnTLp\nyB+nauD+7VrgqdtF8D52C1CzaeQxgWodO8XEk4H+Lvnwt9bT1LTQEYX2Y8COx4GmfWYlCcUZtwE5\nhtupMsP1H8iycJp5l6Buuzz/il8ANzwR+HWyi2UiWCzK6MWLthpg+krgyl8D1z0scZF/3gpse9Ry\nTLXUB1bMPBc47dbg51SO8dpfAzXrgZI50swEkJgEEFlL5uGmN/r4/tuQ5GTP88DERVJ9hVAMEwdJ\n9phEt19MQtdFDE8+RbanLgNqt8rMevW4ElCARBOsqEyrf/50LBx8Uxp/bP2b735vp+Q3Jy0e+Zxg\nXb7CYXBA6v3uehp473fAB48B6+8ZeVyg8m5OMdHInHYclw9/K9khXFlrvtvj5wyvvhP4uhG7UJlh\ndaFTdanEXga8wPZH5c7AgquDjy+rGIAe+/bXsaK3TaIkVRcDp94g+cRPPgpMXwE88Vlg3ytynL8Y\nHo2q1cA39gHfawC+sh248Wk5P+BMTMLaDp2NhMh4ousEUP0eMPeyeI/ENVAME+dI5pjEgNfMjiox\n3HJYhNZko6X11NPkS7XuA/M4qxBL8/ieMy1DynlF6gx3NgKP3SzrB98w99fvNPbrgcVwSkrgWq7h\n0HxAJsf1tppVHbIKRx7XH0Vn2DrhbcknfB8L5Qw3HzTXA8UkUlIl1qGc4er1UhJPRSE6G4APHgdm\nXTgyZ2xFXfSEKr2XyLQZsaF8iwOVkQN84hHAkwfsfhp455eSjS+ssH9eTZMssirpaEXFbcYak9B1\nEeeaEdFIxs80Mn7Z9xIAXcpLEgAUw8RJUpK4HbPVvVViWJVUU86wcijVRB+rK1wWpHxUTkl4meGm\nA8C7v/at6frCt0SwZRWbbld/r7S83feSbE9aEvh8kYrh2m0j9wUSnwNRygwDvhcZU5b6PpYdoqxZ\nUwhnWJGRK79bb6eI4amnmfGW3c8A7TXAydeEHt+ci+Q5L3w7cIwl0VEZ+gI/oZuRLfsOvA68/H3Z\nlzfJmdeMVAx3Ncp7UlV3Sda7XWR8suc5mVgcyARJUtLiPQAyjhiOSSRhfU4lhjNypZatikikesw6\nqYWVUrVBVZRQQvGbB4KLrZwSc2JeII5vAfIni0PW3Qw8+BFxpN+9G/jaLmD/yxJNOO87UuJt+2My\ntjU/kyzr5FPFlc2bGPj8kdbArdsmdwyqLpGLgl1PBz7fcEwiCs4wAHxps1ysjWh4MQHofi/wc1Rl\nCMC3a5wVTx5Qu0W62XXWAwuvNp3hN38if+/RbkVmFUl96ae/JBMsK06z9zMlCupuhH+zEkDed9aL\nwmA1hcNlOCYxRjGsKrhMmC2OfTJe4JPxydCQXICefM3Iz8Mkhs4wcY5kiUkMDQJ3LwU2/sncp9zb\neVdIbeHaLcCxzeIGq9u4KSkygathp1Q3eOcucSpzSiQSEYic0uDOcE8rcO8FwM/nAw9fL//aj8uk\no846ybA+8zWpq7vyqyLSvG3Agdek+cGia4HPvg584d3gH4qROsN12+V1r30QOPvrwSsnRDMmAcjk\nxEC34LOMsmaBqgVYM8MDQZqleHIlB64PAjc9C8z/kLiJZQvl55x7qb0anguulGzx7mfs/TyJQtMB\n4L0/AEs+BeSVj3zc6gR/bo1zxf+HJ9CNQQwPeMXlB8xJrRTDZLzQ0yzzHMoWxHskroJimDhHssQk\nOmqBpv3AM1819ylneNmn5few9R8iiFVEQlG2QETygx8RoXvtQ6FfK3tCcDHsbRcRNvV0cRSr1wEf\n+iVw5hfl8cc+Lbeor/yViG3lWP7zFnE0L7lTtlNCfAxEUvZL18UZnmhpmpBVFCQmoZzhKMQkQpFd\nLPV/vR0y2arDaJii6xI1UbWfrV3mrJxyg1SW+MK7QOUKc/+Cq2Q5WkRCkVUkE8r2PDe2n8NtbHlY\nyqm9+B25wLnw+4GPU2I4NQMoP8k5p2ospdVaq4H7LgHunAK8+G1x9SfMlscYkyDjBdVxM9jdwCSF\nMQniHMoBHe8xCess8446+bJ//y9SeaG0CpizCtj0ZxF4U071fW7ZfKnoUFAB3PgUkD9KRjKnVIT2\n0NBI0apq8552i1QraKuWclO6LiKjvUa62FWcLsdNPQ2YeZ7ctv7wPeJIj0ZWkTjQY6GjVsZureBg\nbTDRsAt451ci4Puj0I7ZDmryWlcj8NqPgCNrga9+IOJ3oEcm3zUf8O0yZ+X0zwTfn5ENzLnE/ljm\nXQE8/02gca+8jxKVlsPAk583t1f9MLArDJjv//wpoS/KwiXcmMTQIPDojVJZ5awvykVsxXKz8QbF\nMBkvqJrfTuXzxwkUw8Q5UpPEGba2R375BxJHaD0itWSziuTWuHL4/J3hqktEjF72f1KPdjRySsT9\n7W0dWZHAWps3Nc2su6pp0uDh8Brgwv80j0/zADc8KSI1f7K9nzWrSBzowf7As/ZDUbddllYxnFUs\npbYGB2TC2MHXgTM+bzp4TrZjtkP5SbLc+SSw81/SMnv/q+bfZsGV8vs8/7vhnTe7GDjr9vCeM/dS\nEcN7nk1sMVxtqaVdPEu6AAZDfSGHU1LNDp58ILNQ2kCf+e+jH9+0X+6uXPZT3wuc4Rbz4/wzjSQm\nxzeL+eFvuoSCznBAGJMgzqFiEuMhM2ydPOVPmzG5ZtG1wLa/i1i88Rlg6U2yf87FskzPGdnMonQu\ncMPj5iz10RjuQhegvFooN/WKX8ite0+e735Nsy+EAVOAj8UdrjMmCFonRanz7X1BhDAgcYSBXgDa\nyPJy0aZsgUyOe+Mn4uxnFsjftMOoCFI4HbjuIaA8Bvm6wgqZ3b07waMSqt5ySRVw+U+D5+EBUwzb\nuTAMh5RUyc7vfhY4sX/049UFrn+OMjXJGwkRd/PcHcBz3wjvOcoZzg1ytyZJoRgmzjHsotiMSWx+\nCNj5VPTGM1Z2PAn8akngTmmAfHFmFcvt/VU/Aj77BjDdMvEnb6JEEipOD95K1i45IVoyDzvDAdzU\nNM9IITwWVBe6sVSUqN0GFM3wrdGbZYjhl75rnrvlsEygS8+K/ezm1DSZxDjolajJyR+XzkyNRs3f\n0WIsTjPvChGT1vbFiUbNBqDybOCLG+QORSjUhZnTzjAALP+cfCatvXv0Y4fLv/mNI1nudpHEpPWo\nbwnIYAwOmOZJR63Ew2JtPLgcimHiHMOl1Wx8cei61BZ9/g53tTrVdWkAAMiEtEC0VouLl54FrPhS\n4C/y6/8OXPOnkfvDRYnhQOXVYpGzVc5dW3Xo4wJRtx2Y5NfxzSqAz7lDbmW3HBZnOFqVJEZj2hmy\nPOML4vYP9AIb7pV9sc7Vzb0MgC6CPBEZ7Je/u93btjmlwOofA0s+6fxYcsukycqWh82JkcFoqwEQ\n4K5JslTIIYnHgFeqBvW2jj7J+ekvAX84G9j7ErDvZeaFA0AxTJwjnJhE0wEReB210q7XLRxdazbL\nqN0a+Ji26pENBPzJKQnddcwuqoFDoJhEKGfYKVSco+lg6OP86W0HWg75VpIApMkFAOROBJbdLLVn\nW4+YznA8WP554LqHpV321GVSTqv5oLjYsXZPyhdKNCNRq0o0H5L//3bLNmmaXIT4tyJ3irNul4vz\n9X8IfVzbMblt7J+LH77bRTFMXIZq7gSIoRAMb4d0wjyxF/jbx+T7K9z5H0kAxTBxjnBiEtXvmc95\n6ktmi+J4s/Y3IoJmnCsNLfwZGpSMq9MZx2AMVztoGvlYLJzh3HLJ1DbbuBVnpd7osjfRzxkuqJAW\nt+d+U8Rv0XSjbXWruMTxILsYmGc0xtA0cYeB8LLVTqFpEpU4+Ebwcm5upnG3LEvnxnccigmzpPbz\nhj+G/n221wS+w5MSxt0uQmKJivYAoee47H5WjJOpp0t8CTDjamQYimHiHCofa+eLo3qdTFa68RnJ\nw276c1SHZoumA/LBcdotwPSz5Era/wu0cbd8sARrX+w0qenye4qXM6xpUqXCTi7Nipo85y+Gc8uA\nr+8Glt0i20WVknvrrANySyMeriMs+rgs43Urcd5l8n9o/yvxef1IaNwjS/+Jo/FkxVekgsn7fwl+\nTNsxoGDKyP2sJkHcirWqUUsIMbz9UaBgGvDpF4GbngFueQW46tfRH1+CQTFMnEPT5MvDTkzi6HtS\nx3PacnEHVbmXeLLutyI+T/sMMPN8ALp0z7JSs1GWU5bGblw5paEzw9G+lV88K3xnuPmgOMqByvfk\nlpkT5QoqRGg07DYjIfGmeKaI9flXxOf1K84Q5yYRq0qc2CNfvBk58R6JydSl4oit/U3guIOui7DI\nD+AMhzspmJBYoeZxeAqkPnYgOhvN1suqjnfFafG56+VyKIaJs6Skj56v626WL82K5bKdNzH+s+cH\nB4AtfwNO/pg0CJi2XG5Xr/k50F4rtVNbjki8I7PAfmk0J8guCVJNQsUkopy1nTBLfvZwcpP93SKG\nR6sOkW+4cf1dQE7Z2MfoNFf83CyVF2tS06QKw6G3AreJditP3iYulBtrJC//vNxWPrxm5GO9bXKX\nJVDlEFaTIG6lrUa+G+ZdJv/vAsX6dj4pdepP/ljsx5dgUAwTZ0lNG100qTqkahZ/3iSgc5TZ3nYY\n7JeJWGOht00E3KTF5r7TbhGRdt/FwH0XAb9cBGx5SFzhWJYAyxlFDEe7CkPJXPlAPbHX/nP6e+xl\nma0OhZ2OeMnC9LMkOhLq9qebGPACWx6U9cXXx3csgZh1gfw/2fviyMfU/61AF2MUw8StdNTLd+cl\nd8pdtcc/M7Lj4rZHgLKFsamTnuBQDBNnsROTOLpOJqZMNsovKWd4aCiy1/7btcD/jLFeqbdNlh5L\nTdyKM8TpbjsKVK0Grvw1cMF/Ahf9V2TjDJeckiAxiR75go+2MK84TZZHg5SaC0R/D5CePfpx+Zac\nZq6LnOF4M/0sWf7qFGDTA/Edix2Ob5bltQ/JLVm3kZEtrcj3PD/SbVd5/ECZdVaTIG6lp1km/2YX\nA1f/TsyKl79vPt58CKhZ787/jy6EYpg4i52YRPV7MrEqwxBLuRNFQI+lsYNiaBA48CowNCAxjHAz\nfr3tsrQ2iMjIllJbgGRIT70BOOcbvu5xLMgpBbqbRv5eY1Wbt2iGVJUIWwzbiG9kTzAFh1syw26g\nxFKNYee/4jcOuxx5V5bqbo8bqVwpZfz8a7IqMRzo/UdnmLiV7mazfOes84EzbpP66Ifekn3qLshJ\nH4nP+BIMimHiLKPFJAb6gGObfL801SSrSCbRVa8313+3Anj81vCe7zXEsNUZBoB5l8utqJnnjn1s\nkVJUCehDIxtfxKo2r6ZJvjtYE5JA2HWGU1LMqg0UwyYpKcANT8q6Jze+Y7HD0XVSQcLNURfV2rzX\nr7V4V4MsA4phNt0gLqWn2bdE2oXfl+33/yrbtVvFxCiqjMvwEg2KYeIso8Uk6raLo1lxurlPiaFI\nJtHtfcFc7zgut0PDyQ8HcoYB4MwvAl/ZHt/WlcUzZenf+CKWXdumnSkl0KyF3kPR321fqKuoBMWw\nL7POl3y62+sNDw3JhZKbXWEAyDLqWPf4i2EjgqRqelthTIK4kaEhucNhbeyUnikdLPe+IKZT3baR\npS1JUCiGY0xtWw/q2nrjPYzokZIe+paichcrHHaGD70l7qWquTvQCxx+x/7zh53hPN/9mhb/bj3F\nRuUK//JmsezaNs2o/GE3KhGOUFeT6CiGR5KRC3g74z2K0DTukgmo086K90hCo5q6jHCGG6VNeKD/\n5ympADTGJIi76G2Vu4X+zTMWXCnfZQdelZr4/h1ASVASQgwPDEY4scpF/PtD7+MLD22K9zCihydP\nahsGo2GXiB5rGaO8SSKc6neO7TV724DaLdI1rnQukJEn5wunaYFyhj0FYxtDNMktM7rAxdEZnrhI\nYg+qc+Bo9Hfbi0kAwOQlwITZ0e2kl6h48oA+l4vhRMgLAyGc4cbQZf1SMyiGkx23lThUufdsPzE8\nfQUATRrMDA0Ak+gM28X1Yvjv64/ipP96Ef/+0CYcax1j2SyX0OkdwNbqVmw+2oqGjnHqDs88T2aw\nBmofDEhtRP9WxmkZMnv+4Otje80ja+UqecbZwFm3Axf9QL6Yj7w9+nM3/RnY/pjpDPvHJNxAsC5w\n/b2xc4ZT0+WWvV1nOBzX+swvArdtGPvYxjOJ4AwfXScXtG7PJgZ1hk+EviuRmsGmG8nMobeA/y4c\nu1kTDbqNyeb+zrAnVwwhFRtUFZvIqLhaDHd5B/DdJz9A5YQcvLa7ARf97E3c+9bB0Z/oUjYfbcGQ\ncYH5xp4Q7mkiM+8yEab7AtTzBGQSWEHFyP2zLpDbOm3HRj42GofXAKke6b1+8jXA6Z+RjGvdB+Ia\nB2NwAHj6y8A/b5Hj0rLiH4kIRvGsAM5wT+ycYUAuMOq22xNndifQASL2U1z9URQ/PLlAn4szw7oO\nHF0r741Y1t4eC8Gc4c6G0BP/UkeJfpHxzYY/yrI2QFOLaKHrwIMfBTbcF/hxVXnJ3xkGgMmnyHdw\nyVzp7kps4epvoOauPgwO6fj0yhl45WvnYlllEf7fc7sS1iHecLgFKRpQkpuB13Y1xHs40WHSEpkQ\ntfvZkY+ptqcFAWoBzzxflqosTDgceksm5Flvs087A4AuneOCcWyjue5td6crrCieKWWhlEPV3SwC\nPlbOMCC/U33Q9/cWCF2PbZ55PON2Z7itWjq7uT0vDMj7MdXj6wwPDsjE3VA1rimGk5tWo4pPSlr0\nX+fIWllv2i8xv2BlFYed4aKRj00+RZZVlzg/xnGMq8VwW4/M4C3MSsfUomx8crncXm/tTswPpg+O\ntWFOWR5WLZiIt/efQN/A+MlCD6NpwNxLgQOvjazm0HVCcq7+MQkAKJ0ntyMbwrwV1d0sbuWMc3z3\nTz0N0FLFtQrGvpfNdW/HyLJqbmLCLMmAtR6R7f+dIR+YsXSGp54GQAOOjpIbHuwX0cwMcOR4cqU6\ny4A33iMJjPrydnteWJFV6OsMH3xdnPcZIUonpmawmkQy03pUlv53FJyksxG46yTg/tWyve8lWdZu\nDZxXDuUMzzhHvhdYXzgsXC2GW7sNMZwt5W1yPHJl1t03GLcxRUJ1czemT8jGBfPK0OkdwIbDETSZ\ncDNzL5MJVAffMPf1tgHv3CXrgZzh1DRgwhyJSoTDkXcA6EDl2b77M3KkOUYoMXzoTXO9s9HlzrCq\nKHHI98MxloIzswAoXxj6dwrI3x6wH5Mgwckwqpu41R2u3Sp/5/KF8R6JPTILfZ3hrQ+Luzbn4uDP\nSaXXgDAAACAASURBVE1nneFkpa/L7P7p36zFKRr3AH+wmDneDtOo6W0FWg4D+1/1vSDrbga0lMAT\nvsvmA9+pNR1iYgt3i+EecYALsiTHqcRwpzfxJjPouo6alh5UFGdjxewJyEhLwWu7x2lUovJscVn3\nPGfu2/RnYO2vZT1QZhgAyuYBDWGK4UNr5Mt4ytKRj00/Sxp8BHLVBrzyRa4m1TQfcLczrGoNNx/w\nrTsb64k9k5ZIRZBQqDsCjElEjir159bccHeT5G1TUuM9EntYneHarcCOJ4DF18sk3mCwmkTyYp20\nHC0xvPFPcu4zvyjbJ/aJyTN9pWyvvxd48CPAqz80n9NRK5M+g8214ByMsHH1b2w4JpFtiOEMwxn2\nJp4z3NTVh57+QUwtykJ2RhrOmDlh/IrhtAyZELf3JdPFHLB8mRQGEcOl84G2o+G5YIfXGPWFA3yZ\nTTtDYhnHA0x8qN0qX3DzrpDtjlp3O8PW8mrWD+WGHbEdR/5k6dgVSoQPKDFMZzhiVPc5tzrDPS2B\nc4tuRTnDQ4MyeTa7BDj3jtDPsdNinoxPrBOw/auQOMX+V6VVuPou2vp3+W5a8WV57+14wjjOUiq0\nditrCDuMq8WwikmYzrC4D10J6AzXtIhAqCgSgXDB3FIcOtGFQye64jms6FG1GuisM2fgKgH30fuC\nf3mWzpXliT32XqPrhGSMZ5wd+HHV2CPQbX3VvnneZeY+NzvD1vJqPZZ4Td6k4M+JBvmTZKZyl9+F\nXHstcN8lMglEOcOxzDOPVzIMMezWWsOJJoaVM7z+XuD4ZmD1/4w+fk6gS16s/+/Ud1h3s7i3TtB6\nFGjaJ+ZRgdGJc9vfgfQcYOa5QPkC6agKyGfr0KB8vjbsYgzCYVwthtt6+pGZnoLMdBHByhnu6ks8\nMVzdLDnKqcVy6/iCeeUAMH7d4TmrAGjAXqPEWk+LxCNOvib4c8rmy9JuVOKY0bwk2Ez23FLJIQcU\nw+/JRD7r1XWoGeVuoHiWxCTUh/JF/w18+A+xHYMS3+1+3QL3PCfdBWu3WmISdIYjxuPyzHCiieHM\nQqCzHnjtR8CsC4GTPjr6cxiTSF7U/7u8yWa85p+3AH91aHLa9kdlOfsi47NVEzd6xjlAmkdiaYq+\nDuDJfwe2PSITlK2PkYhxtRhu7e5DYZZ5+1tlhhPZGZ5qOMPTJmRjdlkuXh+vYjinRKoPqOLfPc2j\nf2kWzZAvHruT6NpqjOdVBj9m2hkyM/fF75rlaHQdqNkgdYmtxfZVeTe3MmGWOAmqw1/V6sCziaOJ\nEsN/v16cYOWwHzYanPR1WibQMTMcMcoZVk1h3EaiieG5q+X//9AgcMXP7dVGTk1n041kRWX1Cyvk\nvV69XioltR8DhiKsBtXbDrx7NzDnEqC0St5neRPlsTkXyXKyIXjnXgac/llg11PA018yHqMz7CQu\nF8P9w3lhAMhIS0F6qoauBKwmsb+hExNyMpDrMWsVXjCvDO8dakrICYG2qLpEbkV21IkQHU24paYB\nJVUjxfCOJ2WSgT8dtVI+LZSjO/0sua2/9tfAnudlX1uNPLfidF/B5vbyUMUzpbxa3TbZjocIyZ8s\ny856cYLf+4OICyWGvR3SGQ+gM+wEHhfHJHQ98cTwrAuA2zcCt75iv2MeYxLJi5qsXGCI4Td/Itv6\nYOQZ4vf+IOc871vmvnwjKjF7lSyV+1t+EnDZ/wFf2wms+hGw8qvmZzFxBHeL4Z7+4bywIseTlnDO\n8NCQjjf3NuCs2b5djs6fW4b+QR1v7zsRp5FFmSpLzcSe5pGtIwNR6ldRYmgQeP4/gGe+BtT4NXto\nPw7kloeeyT59hbmu4gU1hps59TTjAQ0oP9m93ecUqryaiofEQ4Rk+3Xq6qgFTuw1M8R0hp0lw8UT\n6LwdIgoSSQwDRjzqJPvHp2YAgy6t80yii/p/VzBFPuP2vyLfFYBUUhkrvW3A2ruBqkuBKZaWyeUL\nRACrznETTwZO/TezZnBWEbDiS8BF/+X+jo8JhqvFcJufMwxIbrgrwapJbK5uxYnOPlw039fBPGmK\nTNg62jxOJ9GVLwTyp0puuNtGTAIQMdx2VATfqz8CDrwuE/FS0oCnvuQ7q7v9uEzoCkXRdOD296Xz\nVIeRc61eL62XVV742zXAZ14d288YSyYYYrhmo4ikUOWgooW1ZM+0M+VvcHiNuc/bYckMcwJdxAxn\nhl0Yk1AXl4kmhsMlI1fqzZLko69Tan0rIyerCDj3m7IeiRhe9zsRxOd/23f/ZT8FbrJ0b01NB668\n25xPQ6JGTMXwwJCO7jAmv7X2+GaGAakokWjO8Lv7xfk9r8pXDOd60pCaog1XzVA8sbkG3358W8zG\nFzU0TTJ6B16TW0p28q1l82T59FeANT8FHr1Rqjx85A9SRuzdX5nHdtTaq6YwYZaI5s562a5eL1fj\nygn25MpkBbeTUypfzEP97hAgU5aKGD60Ri56PAXipLDphnOkpsvvtml/vEcykmQRw5kF0e0+RtyL\nt0O+H7KMevRn3gYUGq5t1xjv6Pb3AGt/K6XUJi32fSzNY0ajSEyJqRjeVduOG/+03taxQ0M6Wrr6\nUZjj6wxnZ6QlXDWJ9t5+ZGekosDP5dY0DYVZ6WjtMcXw4JCO/3thD/6xoRq9/YnlgAekarWII33I\nZkzCuAKuN+rn5k8GPvZnmfU9/0rgjZ+YhdDba+3npnInSna5v0cyt8MRiQRC08zmG+rDOR58/C/A\nh++R3/2gV24dVq6UD/G+TqntDDAm4RTlC4H6MNuUxwIlhjPj+F6MBVmF4uIFaotLxjfeDjEgZpwL\nLLoOOP1zMjkcMDvThUvrUcDbBiy42rlxkoiJeUxiw2F7XVyOt/Wgb3AIlRNyfPbnJmBmuKd/cLg8\nnD8F2eloszjDr+1uwPG2XgzpwJGm7lgNMXpUnm06hHac4aJKiTTog8D8DwFf3ADMvlAeu/R/Zbnh\nPrlt6W2zX2c3zxDDx7fIJLSK5WH/KK5g/pWyHK0LXDRZcBWw+FrzQqSvU8RwRq58eXQ1ysTG9JzQ\n5yH2KF8gtbcHXDaJK2mc4UL5PHLjJEYSXfo65SK/eIbcnczMN+dNjNUZ7qiTpaocQVyBazPDqhmF\nvxjOzkhFd4JVk+jpG0JWEDFcmJU+3GkPAP667ggy0uTPcqBxHHz4pmcCM8+TdTvOcGoaUDJH1kuq\nfB/LnySRh5ZDZp1bu86wEsMjJs8lGGfeJss5F8d3HIDU3lTMOFvyrX2dQN12ybilpgV/LrFP+Uly\nAdfkUKF/p0gaMVwgS0Ylkg9vp5nbV6RnyoX/WDPDFMOuJOZiuDzfXjZTieGZpQGc4QSLSfT2DyIz\nPfCvujA7A6094vgcaerCW3sbcfOKSgDAgYZxIIYBKbEGSBMMO5QaueEJc0Y+VjgdaDliCgO75ZFy\ny6Vm5IHXpZ6x3bG4jYxs4D+OANcEKDUXa9TkxYIK+bt4DGe4dhswcVF8xzaeKFsgy22PRF7b1EmS\nRQyrSFK02vES96Im0PmTPWHsznAnxbAbibkYtlsJ4tCJLmRnpKIsz1c8Z3tSE66aRE//ILIygjvD\nagLdQ+8dRWqKhpvPmoEphVnjwxkGgMWfEPFmt2OOmkTn7wwDUh2i9YgILmjimtlBxSkOvi71hROZ\nrEJ35HFzJwLQJCKhaeKWNO2XEkT+E0PI2CmdJ5Nt3rkL+OtV0pbVDXTWy6TJ8V41RDnDvW3xHQeJ\nPWoCnT85JZIZ3vUMULMpvHN21EuEzN9xJnElpmJY04BO74CtiWGHTnShckIONL9aeolYZ7inbzBo\nTEJlhnv7B/HoxmpcvKAcEwsyMbM0BwcanS/nc6CxE+sPNTt+3pCkZcgEOLt1ERdcDZz8scC1QAun\ny9X6wTckMmF35m2pRVgnuhh2C2kZwNW/A87+hmx78ky3cBKdYcdISQGufRD40C+BY+8Dv185dlfK\nSTrqksPdUhMEGZNIPtQEOn9ySoHOBuCp24HX/7/wztlRC+SVOzM+4hgxFcOTC8TNau4afSLIoRNd\nmFEycgJOTkYavANDGBh00e3CUQg1ga4wKwMd3gG8sacBLd39+MTyaQCA0jyPrd9TuPz0xT248U/r\no3JuxyiZA3z0j4HLnali5EffDe9W/JSlwPSVsl7h8k5zicSS64GS2bJu/dIoXxif8YxXNA1YehNw\n3UNyu96/AU086KhLji/14ZgEneGkoy9AZhiQORH1O6SZVN0H4Z2zs964q0bcREzFcFqKOIOjCbEu\n7wCONnejqnzkm1C1M+7oTRx3uLc/uDOsmorsOC5F9RdOlltyeZ40dPT2B3xOJBxv7UFP/yD+9PYh\nx88dE1SNR8BsmmGXTz0GfOrx8LpPEfuoL428yeatZeIsk41uVQ074jsOQLKPyfClPhyToDOcVAz0\nSRvuQHcfJ58CwCi119Ug0Qe7JMsdlQQjpmI4NVXEcNMoYnh3XQd0HZg/aaQYVu2Z26MgFKNFyMyw\nIYb31ncgPVXqDgNAXmY6Or0D0B2ubVnbJjVgH3j3sE8Vi4RBTZjTUoFFHw/vuelZZpk24jzqS8Pu\npEYSPpn5QMG0+JbWA6Tmbkd9cjjDngIAGmMSyUBXE7D7WSnf+cadsi/QBLrJp/hu12+3/xoUw64k\nprWP0oxWrs1dofu8764Tl3T+pPwRjykx/N7BZuyt78SqBe7/MA6ZGTZ+nn0NnSjJ9SDFcM/zMtMw\npAPdfYPI8TjzZ+ofHEJjpxcXzS/HK7vq8de1h/HFCwJUbHAznlzgK9sls+WGSWTERNUVLpgS33GM\nd8rmx18M97RIwxW7db4TmZQUuQhhTGJ80nxQsvhVlwD3nAe0HTUfyy0fKXwBqaCTXSLxpa5G4N27\nJS5RWCG14Gs2Ai99D7joB8CMc3xfq7/LbJ5EXEOMxbDhDHeGdoZ31bYjLzMNU4tGip18Qzze8U9p\nV3z4x5c7PErn6Q2VGc6WdtMHG7uweKp5azkvU37Ojt4Bx8RwY4cXug5cMK8MQ7qO+94+hJtXzHDs\n/DGjcFq8R0ACoSbPFUyN7zjGO2XzpcX5YL/ZUjzWqNbmue43Ixwhs4AxifHK3z8JNOwElnwKaKsG\nPv5XYOoyMVyC/f/SNOC0W2Rey7H3gYNvyqRuAPjofcDxzcCxjcCD1wB3HDTvmh14TZYzz4/6j0XC\nI7YxiRQNaSkaTowqhjswf2L+iEoSgOmkJhK9/UNBYxKTCsyyRKV55npupgjUTq9zUYa6dolITCzw\n4LbzZ6Olux9/3+CSMk0k8VETjQI5KcQ5iqYDQ/0ymz1eJFvjgMxC82KPjE+2PAjMuxxYcKU0cxrt\nQvP87wBnf10mtX6nBvjWUSAtU8Txib1yzKAXOLrWfM6B1yXmNGFW9H4OMiZiXmd42oRsHDoRvH7u\n0JCO3bXtAfPCAJCflVgu5sDgEPoGg3egK8vzoMjIDZdaairnGWK43cGJgnVGXnhifhaWTi/CvIl5\neGtvo2PnJ0nOaZ8BPvmY2TKaRAeVYeyPY7t2JYaTYQIdAJTOFZHjpqYnxBlUUxsAmLNq7OfJLJBJ\n3cc3A427gbmXA6kZpmPcdULE8OwL7ZcZJTHDlhjWNO2wpmnbNU3bomnaRmNfsaZpL2uats9Y2mpD\nNKcsF/vqg4vh6pZudPUNBswLAyOd4f4olVjb39CJI02R1/ntHZDxBetAp2ka5hhVM6wNRvIzna+a\nMSyGDTf65CkF+OBYm+OT9EiSkpomXyb8oI8uGUY2uy+OTXm6jTrHidrJMVzmXCw/c+3meI+EOE2K\nxaiadUFk55p8ijjBrUeByUuAiuXAoTflsbd/AQz0AGd8IbLXIFEhHGf4fF3Xl+i6vszY/haAV3Vd\nnwPgVWN7VKrK83C4qQvegcCNN3bVBp88BwBZ6alITzW/bLv7nO9G19zVh4t+/iauu2ddxOfqMcYX\nzBkGgNJcEcEluRnD+1RmuNMBMdw3MIRHNlbjkY3VyEhLGXaiT5pSgKauvuH4BCEkARgWw8435bFN\ndzOQkgZ4An9OjztmXQhAA/a9HO+REKfp75HlrAsin49iLblWOheYcS5Qt12qVOx4QjpJls6N7DVI\nVIgkJnEVgAeM9QcAXG3nSbPLcjGkS1ONQOys7UCKhoA1hgFxUvMzTXe4x2Ex3NjhxW0PvQ8AaOgI\nXfXCDqrbXrAJdABQnCMiuMfSmc+spxx5ZviJzTW447Ft6OobwB2XzB3OYp80RSbsfXCsPeLXIITE\nCNXcJJ5iuKcZyCpKnrsAORNkUtW+l+I9EuI0A15pH3/DE5Gfq2q1Oal04snAzPNkfd9LQPsxoJw1\n7t2KXTGsA3hF07RNmqZ91thXrut6rbFeB8DWtGIlcvcGiUrsqm1HZUlO0AlngG9UorvPuRjB63sa\ncOkv38L7R1uQopmObSQogRvq5/nCebNw+oxiXH2KWZIqz8GYhKot/NrXz8OtZ5slXRZMyoemATuP\nUwwTkjC4IibRBGRPiN/rx4PZqyQ37IZW2MQ5BnqBNIfKdGYXA1/dCXx5q5RPm3yK3D15/y/yePEM\nZ16HOI5dMbxS1/UlAC4FcJumaedYH9QldBoweKpp2mc1TduoadrGxsZGzCjJQYoG7K/vCPhCu2rb\ng0YkFPk+YtgZZ/i13fW4+f4NKMn14OnbV+LWs2eipTvylsV2YhKTC7PwyOfORJmlmkRORho0Dejw\nRi6Gmzr7UJidjvRU3z93VkYqcj1pjvychJAY4YqYRAuQVRy/148Hc1YB0IH9r8Z7JMRJBnqlRJpT\npKaZjYdS04DpK/D/s3fe4W2VZxv/HW0PSd4rtrOXs3cCBAIk7N2yW6BQaCl00tLd0pYW2n4foy20\nXykUymjLKGWPhCRk70mWHTvee8uSZa3z/fHqyLIt25It24l9fteVS+vo6NiRpfs87/3cD6XbxO1E\nVQyfroQlhmVZrvBf1gJvAkuBGkmSMgH8lyFzfmRZ/qssy4tlWV6cmpqKSa9lfHIcBbU9qxqtTjfl\nTe3kRSCGg60Fg2F3cRM6jcR/7zubaelmEmL1dHh8g7ZhBCrDfYjhUGg0EvGG6IxkbrS7SI4zhHzM\nYtKfUaOtVVTGPKeDGG5vFFWwsUTmfJE9q1olRhcep4hEGyomreq8rlaGT1v6FcOSJMVJkmRWrgMX\nAZ8BbwO3+ze7HXgr3BedmhZPfojK8IlqcV9vsWoK1iGoDNe0OEm3mALe3iT/MIzGQVZNFTFs6sMm\n0Rtmky4qQrW+rYPkuNBnvvHG6AhuFRWVYSLgGR5Jm8QYFMMajbBKFH4Cvug3bquMEJ4O0A+lGD5P\nXBrMY89adAYRTmU4HdgiSdJBYBfwnizLHwKPAmskSSoAVvtvh8XU9HiKGxy4PF1j0fpLklBQYscA\n2qPkGa5qcQYix6BzMlyTfXBi2BmGTaI3zCZ9VNIkGu0ukuNDV4ajJbhVVFSGCZ0BNPqRqwzLsvAM\njzWbBMDU1WL4RsXekT4SlWjhbh/aynDqDNFUlzRh7DSc9sPre8vZU9w40ofRhX4nWMiyXATMC3F/\nA3DhQF50WroZr0/mVL2d6RmdVeBjVa0kxOrJsPT9xlwyIYmNJ+qoaG6PWmW4utVJXlanCFfix5od\ng6uaDtQmAUKotkahattgd7G0F5uE2aSjrm3wqRkqKirDiCFu5MSwq01MwBuLVa7JF4hIub0vQM7S\nkT4alWjg6YiuZ7g7kgRrfiX8wyoA/Ob9Y8zPSeC5O/o/od5R1ECGxcSElLghPaZhn0AHIl4N4O2D\nFSx+eC2VzSLn72gfY5iDuWbBOP7ztbOA6HiGZVmmqqWdzCARnugXj4NtLgsnTaI3UuKN1A0y3s3r\nk2ly9O4ZNqueYRWVMw9D/MiJYYe/ojPWbBIg4uSWf02M7i0dfA69ymlANNMkemPejTD7c0P7GmcI\niiY5UtnS77YVze3c9Ncd3PnC7iE/rhERw5NT49FI8MrOUurbXBwqb8HrkzlR3X+ShIIiLqORM9za\n7sHp9nWxSST6bRLNgxTDRypbMeo0PSbnhUOG1TTogRhNDheyDMm9xMSpNgkVlTMQQ9zIeYYdDeJy\nLNokAM77Pliy4d3vgFf97DzjiXaahEqfKJqkprWj32Lfn9YXAJ3Tc4eSERHDJr2W3KRYmvwWhNJG\nO8UNdpxuX7/NcwqxfttBNGwSVa2iMp1p7Tw7TPDbJBrtA7cptHV4eGt/BVfMzepz6EZvpFtM2Jwe\n7IOIV2v0e56T+qwMu9WRzCoqZxLRsEl4OuDDH0JdfmTPay4Rl2PRJgFgjIeLfw21R6Dgo5E+GpXB\nIMtDnyah0oXGoD6svqrDsiyz9mgNAB0eX69Ti6PFiIhhgClpnaK3tNERdvOcgk6rwaDVREcM+886\nMqydZ4d6rQbzIDN43z5Qid3l5ZZlAxvxqBzPYKrD9X4/cF8NdG6vTEe3ZsbeOFnbNuRvShUVlX6I\nhhje+AjseBryPwj/OeV74O1vQsJ4SJ81uNc/k5myWlzWHR/Z41AZHF7/9/tQpkmodKE+qEfpSB8D\nv6panNS3uVg8PjHQYzaUjJgYnpYeH7he0uDgs4pWtBop4CcOhxiDNippEserRKRbblJXg3ZyvIEK\nv585UmRZ5uWdJczIMLMwN2FA+8iwiEp1zSCWCMob2/37Cv3Hbolg0t3OogbWPP4pr+wsHfDxqKio\nRAFD/OBsEmW7YOuT4npHmPsp2wUvXguxiXDHe6JCOlYxxoM5ExoKR/pIxh5uZ/TsKW7/97taGR42\nlMqwTiP1WRk+VN4MwPWLs4HepxZHixETw1ODxHBpo4OPj1azbGJSRHaCWIM2KpXhjSdqmZlpIdXc\n1Te0cmoqm/LraBuATeFQeQtHKlu5dVluvw2BvaF4mAdTGd5R1EBKvIGJvXRimk2KHcTF3zYX0dIe\n2hbicHl48I1DyDJ8VqGOb1ZRGVEGUxl2OeDNrwrfqz4OOmxiXzv+Ar5eVohKd8KL10FcCtzxPiTk\nDPzYRwvJU6C+YKSPYmzQXApvfx3+fA78JgteuT46+/X4q5SqZ3hY+M++cp5YJ/5mFo5P7FNLHCxv\nQa+VuGxOJjqNxK5TolfB5nSz4Xgtb+wtj6q9c8TE8KLcJMwmHedPT6WkwUFRnZ3L52ZGtI8YgxZH\nUJqEzyfz5LoCaiMQjzanm70lTayantrjsWsWZNHh8fHRZ9URHReI5sAYvZarF4yL+LkKSjW3aoCV\nYVmW2VbYwPJJyb0K8nijqAyvO1bDw+8d48sv7A7ZlPi7D09Q0uAg02qioDb0KG0VFZVhYjBieMOv\nobEQrnlKpCN02GDtz+DD78PJdT23l2X41y0QnyYqwtaBf6aNKpInQ8PJkT6KMweXHV6/a2DV9MOv\nwb5/QHwqZM6Dku3RGXzi8X+3DnWahAoA33n1ICdr25AkOGdKCqWNjl4LcFtP1jMz04LZpOf6xdn8\nc1cZV/5xC/N+8TFfen43D7x2kMK66FWLR0wM5ybHcvihi7l2YXbgvotnZUS0j1iDtotwK6xr4/F1\n+dz9YviB6PtKm/H4ZFZOSenx2MLcRBJi9ewtbYrouGxON28frOSqeVlYTJGnSCjEGLRYTDpqBlgZ\nPlVvp7rVyVmTe/5sCma/TeKo37O9u7iJ+1/Zh9srKkT1bR28sbec57cVc/uK8VwyO4OCmjZ8PrXh\nTkVlxBhMtFr+hzDtUph4LhjN0NEKdSfEY74QX0ztTeCohyVfBkvWwI95tJE8VYyldpxewwNOW/a/\nDJ+9Dtv+GPlzna1i0MwX34Sl94Cnvfeq/IFX4C8rO6u+fREQw2pleDiRZZibbQXgqN837PH6AtaI\nQ+XNHCpv4Tp/MfEHl8xkZqaZWIOW+y+Yyi+uEv0Kp+odUTumEU+BvmJOJpNT47CY9KT0Ev/VGzF6\nLY4gz7BiZzhY1hz2PqpbhGcoNzm2x2OSJJFhMUWc9bu9sIF2t5frFg6+gjIhJY5dpxqRZTliu8W2\nQrGscNbk3ru+FZvE8Srh2f7ZFXn8/O0j/OTNz/jt5+fygzcOse5YLblJsXz/0hm8daCSdreX8qb2\nwO/M7fXxuw+PI8vwkyvyBviTqqiohI3JIjzDthowp0f2XGcLmP2FB6NZVIbb/Z+Z7SFO/NtERzfx\naQM/3tFI8mRx2Vg0NjOXI6XcnxU7kPeRq028VwEy54rL6kOQNqNzm+ZSeO8BKPhY3K7YB+NX9L3f\ngBhWPcPDzawsIYaPVLawYnIyv3z3KP/YXsKG767ixe0lxBq0XLdIFEutsXre/frKwHObHS5+/vYR\nShqi11Q3YpXhwAFoJGZlWclJ6ilG+8Ns0lNUZw8M7Qgut4ebeFDdIoRumjn0H0Oq2dil+xFgw/Fa\n7nx+d49x0go7ihox6TXMH2DjXDC3rZjA8Wob647VRvzc7UUNZFpNjA8h9BWUynBhnZ0Mi4nbz5rA\nF5bn8u89ZThcHqpanGg1Ei9/eRmxBl2g8XHnqQae2nCSskYHtz27i2c2n+Lfe8oG9kOqqKhExpzr\nRaVsw8ORP9fZIsQ0BIlhf3XTXtdze0UMmyNbuRv1xPpX3EKdQIx1irfCvhc7b7udULRRXG8Pv1gV\noMPW2bCZMg20Rqg62HWbrX8QQtjiL0KVbO1/v0r1WE2TGBbMxs76a6rZSLrFGEiUeNnfmL+5oI63\nD1Zy7YJxva6sJ8QasMboKR5NYngw3LtqMu0uL9c9vY0T1bYuYvhwef/TTQBqbE6S4wwYdKF/Fd2n\nwFU0t/Ol53ez/nhtoKTfnR1FDSzMTcSoizxbuDtXz88iNymWP64vCJjF3V4fn+aH+NIKwueT2VHY\nwIrJvfuFQeQPKw+PSxS+qbxMccbW0u6m1enmqnlZgZOVWVlWzCYdP37zM37/0QlW/m4De0uaWD4p\nCZvTgy0K46NVVFT6IXkyzL0Bjr4V/nNOroPdfxNxUibxN47RLISwInjt9V2fc/DfnaImPsIKz+af\ndQAAIABJREFU9GhHOaFwhvddM6Z4/jJ4+34hYp0t8OptYPcXdBzd3mOHXoOPftz3/jrawOj/fWv1\nkJ4nKsMK7c3CHjHvZvjOUUjLg5Jt/R+nmiYxbMiyjN2/kv+9i6cDMDvLypHKFjbl1+H1Wy8fX5tP\nh8fHF1eM73N/E5JjKWmInk3ijBbDSyYk8epXVyAj8/m/bGNzQecf2YEwrRI1LU7SeokdA3H2Umfr\nCAjRN/aWBx7beaqnV8zmdHOsupVlE6MTSK/Xarjv/MkcKm9ho18Af3ykhtuf29VnLEl+rY0Gu6tP\nvzBAnFHHbP9yRbZfDCsDR5odbpod7i7T80x6LVfMzcTl9xTPzLTwz3uWcesy8cYdaLOfiopKhFjG\nCS9lbwkQ3Xnpc2IZGTqFhdEslvl9frtZdzH85j3C5wmqGO6O8jvsUNN1eqDxf2d8+juRAHFyHVz+\nGGQvEf709x7orKj/58uw/U9QeaD3/blswievkDEXqg4J8ynA/pfAbYdlXxW3x58FZTu7RrDVHoNn\nLhCTAxURHEiTUMXwUGN3efHJ8MNLZ3Df+VMAmJVlIb+mjdue20VOUgzjEmJocrhZOiGJGRl9z5wY\nnxynVoaDmZlp4T9fOxtZhtf9QjUl3sjhivArwxmW3r3KqfFGOjw+bH4/8vrjtczLSWBqWjy7Qojh\n8qZ2ZLlrdNxguXZBNuMSYvjDJ6I6XNYkzoZO1vbeSbntpPALr+jDL6ygbJMQY/Bfig+yJrsLm9OD\npdso6ZuW5KLXSrxy9zI++OZKFo1PIitBCOmB5jKrqKhEiMkKyEIo9Ed3kWvyW7iM3b5wgm0SwbFF\nOlOnZ1NFEKgMq2K4B6l+L++2P4BGA3d+BEvuEtaSms/ECsWGR8Q2Bv/76p1vdBXEzWWdJ3odtq7v\nv8x54GyGljKRKrHrr5C7ArLmi8fHnyV8xjWHxW2fF/5xjUiy2POsSKYA1TM8jCirxsF6Is9fiAP4\n8Jvncp4/1au/qjCIynBFUztOd3SGgJ3xYhhgXEIMuf5l/HijjoW5Cb2K4Tv+vosvPrsz4DOubukg\nvZ/KMEC9rYP6tg4OljdzwfQ0lk5MYk9xYw9vspIJnN6HwI4Ug07Dvasms7+0ma0nGwJzuovqej8r\n2lbYwPjkWMYl9B8ZowwFMerF20F5s5Y3id+RtZsYnpeTwKGfX9yl6qy8TqUqhlVUhgfF6hCOGFP8\nmoHnBlWGFTLndRXDwSkJHicMMC991KKPBUmrVoZDofxOlt0LX90COUvE7eAR3rv/BmW7xclc0mRo\nKoF3vyUeO/w6PDEbjr/r319b1yEvmfPE5Vv3wab/ESPClaowQO5Z4lKxStQcgbZquPR3EJ8hmutA\nFcPDiDLYS+lTAlg4XmiPh67MI86o4+p5WVw6OyOsZLFFE5LwybCloL7fbcNhVIhhgEz/gAprjJ45\n46wU1dl7+FdrbU42nqhjc0E9lzyxif/ur6DB3rcYVhIuShod3PfyPjSSxCWzM7hwZhp2l5etJ7v+\nR9QGxHB0/7iuX5xNhsXEHz4pCIjhUOMJPV4flzyxiXXHavpMkQjmorwMHr1uTmDpQrFJlDSK/XcX\nwyBi34JJNRvRaSRVDKuoDBeReFaLt3R7bpBnWCFtFjgaOm/bKgd3fKMdSRK/v+CTkaKNkfm4RyvO\nZlj6Fbj00a7vsTj/d1J8hrj/jTvF7dUPCTFbdVBYKv77NXG/4mV3tXW1SaT5U4tObYKNvwFrDsy4\novNxSyYkToTCDaIqrIjiCWeL6nGVvwKtRqsNG63+ni5zUFNcmtnEiYcv4Y6zJwKwbFIyf/7Col57\nuIJZMSkZs0nHR0cinwMRilEjhjOCxPDcHHG2cbBMfElsPVnPs1tOBawDf7plAZPT4vnWvw8gy30L\nV6Uy/N1XD7K7uJHHb5zP9Awz50xJxWLS8e/dZTQEpU30l04xUIw6Lfeumsyu4kY+9P/nhxLDB8ub\nOV4tlk0/F5Th3BcajcRNS3MDAzgSYoVdQjGnhxLD3dFqJDKsJiqbVc+wisqwEKgMhyGG6453vW3s\nVhnWGsRAA3tdpz2iVRXD/WKydK0M/+Nq0SzWnfZmeOdbY8NS4fOJn9Nk7fmYUhlOmgjn/0jEoYFI\niJh4Lsg+eOUmiPMPwVKytDtsXS09hliYeaVIVYlNgXO+DdpuSbHTLoGTa+HxWbDzz5CQC9ZsyJwP\n9flgb4CmYrGtXh26MdSEqgwDAw4aMOg0XDAjjU+O10Zl7sGI5wxHC6UybNJrWJibgFYjsfNUA+dM\nTeHWv+0E4KK8dBJi9Vw6O5NLZmXwx/Un+b9NhcwZF+KP1o8ihhsdLh67YR5XzROh8wadhmsXjOOF\n7SV8dKSGdIuR76yZRnVr3+kUg+Fzi7L5xTtHUP7fT9Xbe+QPb8qvR5Jg/0/XBERtpMQZtGg1EmWN\n4YthgCxrjOoZVlEZLsJt4JJl0TyUMbezA797ZdhkFQLE6xLiOiahUwynzoBFX4r+8Y8GjNZOgdta\n1ft2xZth799h+qUw7eLhObaRoqMFkMV7qDuKGDYlwOK7YM/fhTBNmiQEsi5GpEV84XV4egW4HUJc\nu7rZJABufElcej09hTDAml9CzlIxva5gLSy6XdyfNV+I7t9PFsepj+tadVYZEloVz/AgBpF15+wp\nKbx1oJKTdW1MSx9cT8OoEcMZVnFm1+72YTbpmT3Oyo4iUQk26DS4PD4+PlrD1fOz0GokQOLba6bx\nrdVT+4weS4zVc9mcDNbkpXPtgq6V1p9ekcfFszI4WtXKM5uLePdQFQatJuoWCYV4o45p6WaOV9vI\nsJiobnVy3yv7cLp9nKq3c960VA6WNzM3O2HAQhjEsJGEGD0lEYrheJOOWptaGVZRGRb6qgy3N8MH\nD8KiO4Qf09kME24NEsNKZdjSuS9l6blkG8y4DGxVIGngq1tDiw2VrpXhwvWd93tcoAv6DLb5l3Jb\nK4bnuArWCnvA9EuG5/WCUXKETSHEsDJC2WQV76nrnxfWCOV3dc3TwvKQNlN4sl12IYSh9wbO3t6b\nOgPMvk78c9lFNjGICvSCLwirRtYCIZjVnOEBE1yQk2WZ1/aUs2p6ao+ULqUybDFF77Nk6QQx7GZ3\nceOgxfCosUlk+SvDSmfh8klJHChrpt3lJTuoieyucyZ2eV5/U90kSeLpWxf1EMIAOq2Gs6ak8OWV\nk5ifk0BVi5PqVmdUm+e6ozQK3nPuJG5bMZ4tBfVUtzjRayVe2lHC/tJm1swc/KQoa4yeZoc7cD0c\nDFpNr4NIVFRUokxfDXSlO+DQv+H5yzubkiacLS4lTWclTFkeNlmFSIhJhKP/Ffe1VkBcmiqE+8Jo\n6fz9KxF00NV7DeLEAobPevLy5+GfNw7Pa3XH6RfDoSrDGbPFZd7V4jJtBswLOs7Z13U22xm6ieHB\nVG8NcZ3vY0McXP0UXPhTmHmFOllxkHzt5X1c/ofNlDTYOVLZyoNvHOIvnxb12E6pDJujWBkenxxL\nSryRPcVdB9/U2TrweCPTIqNGDKf7xbAynnn5pGTcXpl9pU00OVwAXLtgHHOzBz8VLhSZ1hiqmtup\naXUG/MtDwcxMUckx6jX88urZHHroYt7/5koev3E+Hp+MViNxw+KcQb+ONbbzDRu2GNapYlhFZdgw\n9tFApzQeTbsUTrwvro9bLKpjRktnMoTs/3u1Zovl6RlXwIkPxMSw1kqwZA3tz3CmY7IIW0DVIVEZ\nzlog7u8+WCJQGR5mH7ajZ/znkNNXZXjcIvhBmVh56A9DnLBJdPRTGVYZMTbl1/HBZ9Ucr7Zx1Z+2\n8ruPTgCw4UTPibk2pwedRsKkj57slCSJZZOS+PhIdaCRrqGtgyW/Xsfj6/Ij2teoEcOKZ1iJ5Fg8\nPhGtRmJzQT1NDjffWj2Vx2+cP2Svn5Vgwu7yUt/mIsMydGb8e1dN5nsXT+/RHJeXaWF+TgJXzcvq\nc4hIuChZwwatJuw3r1EVwyoqw4fOIJaSlUpcMG3+L6Pr/y68lat+JCpgcSldG5vGny0eu+IJcXvW\nNWLZv3A91BdA8pSh/znOZJTK8NYnReXy3AfF/d3HWgcqw8Ngkwg+OarcN/Sv1+P1+6gMQ6dFpz/0\ncaIy3OHP0VbF8GmF1yfzyAfHyUmK4aNvnUum1cSm/Dr0WolT9fYeDf42pxuzSdfvanyk/PDSGUxK\njecrL+7l5299xruHxN/aJ8d6CvK+GDXrX7EGHbt+fCFJfq+s4hv+4DPxi1Ei0oaKTGunAJ6ZOXR/\ntCa9NhCBFowkSbz21RVoovRGU6rBlhh92G9eg04TmEynoqIyDBgtoRvo2mpEZU5nFF33M68U98cm\nA0Gd1xoNrPp+5+2J5wmrxP6XxECD1DuG8ujPfEwWIT6PvAnL7+08ebB3t0n4K8MtwyCGm0o6r1fs\ngymrh/41FU5thtfuENdDVYYjIWCTUMXw6UBLuxtLkJj97/4KjlW18oebFzAlLZ437j2LP204SV6m\nha//cz/bCuuZmBIXeH69zUXiIHqZeiM7MZY37j2L3354nGe3nAoseum1msDk4HAYNZVhEHFmOm3n\nj7R8UlIgHmyoxXBWQmc1dqisGP2h12r8zYGDJ9Pvs87LCvMsHiGGO9TKsIrK8GGy9m6TCDU+ecJK\nMamrNwJWiffEbWWSmEpojBZAFj7sFfeJyjuEsEkEeYYj+IIeEEpcGEDF3qF9re5s+0Pn9d4qw+HS\n3SahJj6MGMX1dhY/vJZLn9zMG3vLcbg8PL4un9njLFwxJxOAOKOO718ygyvmZmKN0XOksrWLGD1e\n3TroJrfeMOg0/PSKPJ69fTHJcUJwH65o4bzfbwx7H6NKDHdn+aTOoRMp8dE/IwkmuDI8lJ7h4eL+\n86fw4bdW8vwdS8J+jiqGVYYDp9tLfVC295hGqUx2p60WzCHE8CW/gct+3/c+Z13beV0Vw32jLPnP\nvVH4q00JYipdsE3C7YT2JvGY2x5eLvRAaa2EAy+L61MvFl7m4ST4/aKPHdy+AjYJ/8pH92g1lWHj\nwyPVuL0yHp/MA68dZOGv1lLe1M4Da6aj6VaAkySJvEwLr+wsZdHD63jvUBX2Dg8ljY6IimsD4cKZ\n6ez+8WoevkY0apb6E7HCYdTYJEKh+Ia9PnnIK8Np5tE1wSbOqGNGRmRvXKM/TaJ79rGKSqQcqWyh\n2eFm8YTELqHsta1OVv5uAynxRrb+4IIRPMLTBJO1Z3IBiNGz2eGfyHZBSZVw2SFxwqAOb9STPFVU\nLM/+prit0Qgrir0etv0Ryvd0piFkLYCiDcIyMdiqaW+sewjyPxTXJ50HBR+JE6PhSkzw+E9SV353\n8OO7FZuEYi0xq82cI8XaozXMyrLw7tfP4dP8OtYdqyHDYmLV9NSQ28/KsrC9qIFGu4uv/3MfX1w+\nHlkWvU1DjSRJTEmL/MRpVIthxTd8sKyZlCEWqzqthq+cN4nlE8MbgTwaUQaNuL0yBp0qhlUGRmVz\nO9c+tQ2X18cPL53BV86bjM8n8+qeMh754DgdHh8Vze04XB5iDaP6I6x/kqfAyU/E8ILF/sEYsuwX\nQCEqw+Gg1YuBCHXH1Vi1/pi4Er5f0vX3FJcCLeWw/0UhjOPThTVl5hVCDIdqeIwWSuPkvJshc564\nXnUIpg6Tb9jjFD/vhT8d/L4Um0RTMZgz1SzgEaKtw8O+0ia+foGYybBqehqrpvd9cjUpVYjRBbkJ\nxBq0vLBd+NhnDnFlWGH2OCtzs6388NKZnPXb8J4z6j/pLpieRlVzO3GGgY38i4QfXjpzyF/jdEYR\nwy6vb0gm8KmMDZ7eeBLZ3+S161QjNy7J4e5/7GF3cRNLJyZx9uQUHl+Xz6l6O7Oyep8eOSa48OfQ\nUCiyhJ3NYiytq02IiMFUA6MhZsYK3U8YEnKhcIOIrbvsf0RCB0C537/bPoRi2NEg7BHX/qXTjlF1\nYHjFsC5KolWxSTQVqysUI0h1ixNZhsmpcf1v7Gf1zDRe3ZPA/1w/j3EJMXzjn/spqrcH5kEMNfFG\nHW/ff05Ezxn1Yvi+8ydzx9kT1GX7YUBZznZ5fDC6XCMqw0RFczv/3l3GDYtzcHl8fHK8lpd2lLC7\nuInffW4u1y/O5ni1jcfX5VNYp4phDLFw0yvw36+KJfL2ZjHyF8SELZXhJ2dZp1UhY07n/Yo1IpRn\nePvTYhJa9uLe9yvLndYDnw8OvAS5Z0FKULqQrboz69hkFWOOqw4O/GeJFHd75yCXwaLYJJpOCeuO\nyohQZxPWl9QIVtfTLCb+e9/Zgdt/vW0xXt/pbZ8c9WJYp9VgjVGrlMNBoDKsNtGpRMhjH5/gX7vL\nWJ0nlvbvO38Kn+bX8drech5bm8/SiUncsEQMk5mYEockQVFd27Afp8fro7TREVgGPC3QGeC6Z4T4\n2foE7HpGTI6bdvFIH9nYREnrMMRDYtDE08DEwG6V4YK18NEPIX0O3Lul62Ml26Foo6i47v4bpE4X\no4rdTjHxTmuAL38CmXPB6xaNe+bMzudnzhPxav1RukOM717yZVh4W8Q/coCoVoZjAVlkMyeMj84+\nVSKm1uYEBt8XFa2kq6FCVYkqUcPgj7Xr8HhH+EhUzjT+sP4ktbYOXtlZyo1LcshKiGHx+EQAfDJ8\nPmjIjEmvZVxCDCeqbRHlSEaDx9bmc/ETm2hpdw/r6/aLRguXPyaW5RMnwJVPDl2TlkrfZC0QIjV9\nlmioU1DEcHebxLpfdH1coeYo/P0S+PRRkRARmywEYv5HQgjPuR68Ljj1qdi+rQaQwdJNDDeXiDSL\n3rA3wMs3iApy0caB/MSdRLUyHHTCqdokRoxAZTh+dHu2R31lWGX4UCvDKgNlVpaFI5WtGLQavrZK\nLPtOTTfzwp1LsXd4uCivazPYjAwzH3xWzXdePTikkyWDabS7eH5bMW6vTGVze9hjyocNSYKld4t/\nKiOH3gRnfQOSJ3e9X6sXAi/YJtFcBjWHxfXu2cRH/9t53V4H530fzv+RuN1hE0MolEmB0DnYo3tl\nGEQT3aTzQh/vpt93Jl4MFo8zennAhqBotkS1MjxS1Nk6MOg0WGJGt1xUK8MqUUMRw2rWsEqk2Ds8\nGLQafn3tbLISOitL501L5bI5mV2G6QA8+rm53LIslzf3V3CwbAgbkoJ4dksRDpdY9ahucQ7La6qc\noVz4U5h/S8/7TdauNomTa8XlxPOgtarrtnXHwTIONH4RkjG38zFlGlvyFGg4Ka4rgz3MQV7xDEUM\n9+EbLtspUjHSZ3dGow0UtzN6leHgnOLgn11lWKmzdZAabzyt/b7RQBXDKlEjOE1CRSUSGu0ublmW\ny/WLc8LaPiXeyI8um0lSnIFHPzg+5HaJZoeLF7aVsMhv3ahSxbDKQDAldLVJHH8frLmiatvRAs2l\n4PPbzGqPQ+Z84RGGzipvMMlTO8WwMoY5uDIclwzWnL7FsOIz1hlFZXcweNqj5xlWKsxaozpwY4R4\nasNJ/rO/gjTL6O+IV8WwStQwqjYJlQHg9vpodXoinlsfb9Tx7dVT2V7UwIefVQ/R0Qme3XKKtg4P\nv7x6FhoJqltVMawyAGISOm0SFftEZXj+LZ0DJZ6YAy9cJeLEGgshbQaMP0dUiK3ZPfeXMkV4hd/5\nJqz9qfDWxqZ03SZzXu9iWMmkjksFXczpVRn2usRlXwkbKkPK7z86AUBynCqGVVTCRhXDKgOhySG+\n9JIGMDL95qW5zMgw8+v3j+F0D03jps3p5vmtxVw6O4NZWVZS4o1Ut7QPyWupjHKCbRLrfwUxSbDi\nvq5Nb+W74ekV4POI8carfw73fBp6oluyP1Zt3z9g8Z1w94auTXsgxHDDSeEz7k5HK3g7RCa1ziga\n4AZDNCvDOctE1fzi30RnfyoR0dbhCVwvqh/+5J7hRhXDKlHDoA3KGVZRCZMmu0hmSIqwMgwiOvFn\nV+ZR3tTOM5uKon1oAOTX2LB1eLh+sajMZVpNqk1CZWAoNolTm0Xz28rvgMnSddTwvVs7m+8y5opK\na3zosbdMvhBWPgBf2QyX/y/EJvXcJnMeIEP1Zz0fa6sTl3FpQsSeTpXh+FT49mHIGp4GWZWuKCkS\nAN+9aPoIHsnwoIphlaihNtCpRMrOoga+8OxOABLjBpbOcNbkFC6dncHTGwupaI5+xbbRL9aVaKEM\nq4ka1SahMhBiEkRl+JNfCgG85Mvi/kDTmwQpU+GudULgps3oe3+GWLjwZ5Axu/dtlMEfNSHEsN0/\nvjk+dfCeYVmObmVYZUSp9X/GvXjXUi6bk9nP1mc+qhhWiRqdDXRqzrBKeDyxriBQgRiML+1Hl81E\nkuBrL+3FHrS8Fw2a7MLGoYj1TGsMVc2qGFYZAKYEEWNWvgvOe7CzimqywOpfwL3bxG29SQzSiAZx\n/rHcjsaej7XVdm4z2Mqw1y1GUOtVMTwaqPV/LqeZx8b/pyqGVaKGmjOs0h+v7ikLVByK6+1sL2oI\nPDbQyjBATlIsj984n8MVLVz91NaoDsVoVDzNccLGkZ0Yg63DExDJKiphozTB5SyDBV/o+tg534L0\nvOi/plYHBnPPyXcgkiRAeIb1psFVhj3+VRldlGwSKiNKpxge/c1zoIphlSiiTKBTxbBKKMoaHTz4\n+iFe3CEioP68sTDwngEiTpPozsWzMvjLFxZxsraNj45EL12iye7CqNMQoxee+IkpcQAU1duj9hoq\nY4S5N8D9e+HOj8QQjuEiJqHn5DsQlWFJI6bb6QYpht3+56qV4VFBrc2JQashIfY0Gy40RKhiWCVq\nGPWqZ1ildw5XiEipY1U2CmpsvLa3jC8sH893L5rG9HQzeu3gP47W5KWTZjbyaX7doPel0Gh3kRRn\nCITOK2L471tP8d/9FVF7HZUxgFYv4tCGe4CBKSF0ZbitRghhjXbwnmG1MjyqqGvtINU8+odtKIzu\n+Xoqw0qgMhzm0I1fvHOEhBgD31w9dSgPSyUMalqd+GSZTOvQfZEdKhdi+Hh1K7/98ARxBh33XzCF\npDgD918QnfeAJEmcNy2Vj45U4/H6ekyuGwiNdleXqnVOUixajcS7h6p491AV1ywYN+jXUFEZUkJV\nht1OKFgLaX5rhs4ksn19vp7xbOGgVoZHFXVtHaSMEYsEqJVhlSiiiOEOd/9i2OP18a9dZfxtS5Fq\nq+hGSYOdOQ99xOaC6FU3+2PFI5+w4pH1Q7Lv6hYnDW0dHK4QX8blTe2sO1bDV1dNDvhwo8mq6Wm0\nOj0cGOSYZp9P5oFXD/LJ8doux6nXavD6Bjbx7vmtp3hjb/mgjktFJWK6j4EG2PcC2CpFNBuIyjCI\n3OGBoFaGRw1FdW0cKG0mNym2/41HCWplWCVqaDQSeq0UVmX4RI2NdrcX3LD1ZD3nz0gbhiM8M3h1\nTxk2p4e/bipi5dRe8kWjjKLt6ts6SImPbjXgtud2khhr4GhVayCjN91i5M6zJ0b1dRTOmZKCRoKN\nJ+pYPCFE7mqY5NfaeGOfEK6JfYh2WZbDWkrs8Hh55IPjdHh8eGWZG8IcPa0iTkyaHC6aHG7aXV7y\nsixoNWNj+TYqxCRAe1PnbXc7bH5MTLebeK64T4lE8wwwK1itDI8Kmh0u7nphD3qdhgcvHv35wgpq\nZVglqhi0mrAqvftKmwPbf3x0aEfpnkl4fTL/2VeBXiuxuaCetUdrhvw1g6PItp6sj+q+yxod5Ne0\nsfNUIzanh/svmIJJr+H7l8wgxqCN6mspWGP1LMxNHLRvePepziiqpG5NJI/dMC9w3eEKL0pwf2kz\nHR4f4xJi+MEbh/j4SDU2p5vH1+bTHuY+xio3P7ODRQ+vY/Vjn3Lln7bw9kHVqx0RpgSwVcHvJkFd\nPuz5O7RVw/k/7PQvK2LYPUDfsFoZPuNxeXzc+9I+Kpra+b8vLiJnDFWGVTGsElUMuvDE8P6SJlLi\njayYnMz+0sEtZ48mthXWU9Xi5KGrZpGXaeErL+6hcggGSQRT3NCZivDi9hJqbdHL0N0YJEjNRh2f\nX5TNoZ9fzHULs6P2GqE4f0YahytaBmWV2FXcWUlr7zbq+bqF2TxynRhmEG6M27bCBjQSvHHvWczJ\nTuD+f+7n+r9s58lPCqKafjHakGWZQ+UtrJyawpM3zSfOoOWA+pkRGTEJ4tLRACVbYMvjMGElTDin\nc5vgyvBAUDKK1crwGctfNxWyvaiBRz83hyWDWFU7E1HFsEpUCVcM7yttYmFuAvOyreTX2HC4ojso\n4Uzl9b3lWGP0fG5hNj+5fCY+GUobHUP6miUNYv+3rRjPoYoW1jy2idf2lCHLA/PFBvPpiTqyE2OY\nmBLHVfOzMOq0gTzqoeS2FePJtJr4/uuHBuxJ31vcyLgEUeUy6XtWsa0xolocLIa9PpkXthWHfD9v\nLqhjzjgrGVYTz9+xhNykWI5X2wA4Wds2oGMcC9g6PLS7vZw7NZWr549jZqaFo1WtI31YZxamhM7r\nW58Uk+dW/bDrNopneKCDN9xqZfhMZ8vJeuZmW4e8WHE6oophlahi1Gn79Qw3tHVQ3OBg4fhE5mYn\n4JPhswr1y63V6ebDz6q5al4WJr2WZL93t6FtaIc7nPLn5T54yQw++OZKpqXH873XD/HuoapB7bfD\n42VbYT2rpqfy7tfP4edXzorG4YaF2aTn4Wtmc6LGxp83Fkb8fJ9PprrVybULxvHULQv5bgjvXCgx\nvKOogZ+/fYR3D3b93VU2t7O/tJmLZomxu4lxBl68aynXLRxHjF7LkcqWiI9xrFDb6g//t4i/h7ws\nC8eqbPgG2MQ4JolJ7LzeVAz6OMhd0XWbQVeGVc/wmYzXJ3O4vIX5OQn9bzwKUcWwSlQJpzKs2CIW\n5CQwN8cKwKFyddnzvUNVdHh8fH6ROCtPjhdNWw32QYxIDYPCujZSzUbijTomp8bzyt3LASiqG9xQ\nib3FTThcXlZNSyPOqBuWinAwF85M58p5WfxpQwEFNbaIntvm8uCTheC9fG4mFlPP4PnK/EaDAAAg\nAElEQVRQYnhfibBWHKvuenL3nv/E4vI5mYH7Mq0xPHbDfC6dnaFWOvtAmViojIXNy7TQ1uGhrGlo\nV0xGFaZuAid1es/4tMFWhgs3iEl38ekDe77KiNHh8fL8tmLsLi/zslUxrKIyaOIM2n49lPtKm9Bp\nJOZmJ5BmNpESb6SgZnDLxM9tOcWq32/A6T49G5Gcbi9/3VTY6+9GlmX+vbuMqWnxzM0WJwiJsQYk\nCeqHsDLs9clsyq9naZA/TK/VhPX/2B+f5teh10qsmJw82MMcMD+/Mo84o45fvns0oue1OMTPrgje\nUIQSw/v9HuXjVV3F99qjNeRlWpjgH9gRTF6WhZrWDupsQ3vScybhdHsD/weBsbD+yvDMTAsAx9QT\niPDRdUtDSZvZcxslQcIzgB6Ftlo48iYsuHVgSRQqI8pLO0r5lf8zcp6/QDXWUMWwSlTJy7JyqLy5\nzyXMfaVNzMy0BNIEJiTHdmniGghvH6ykuMHB2wcqB7WfoeJ3H57gN+8f57U9ZV3uP1FtY1thPW8d\nqORAWTO3nzUhENOl1UgkxRqobxs6kbS/tIn6tg4umtW1mmON0Q9aDG88UceSCUnEGUcuwTEl3siN\ni3PYUdQQUWKD8rNb+hDDymOt/m1lWWZ/aWdlWPFct3V42FfaxLnTQsfkKfFv2wqjm+RxpuH2+vj3\n7lLuen4383/5MRc+thG310dNoDIsxPDktHgACge5cjGmSPYPtUmZJi5TQ0RmDaYyvPd58Llhyd0D\nOjyVkeWIfzro5XMymZQSP8JHMzKoYlglqiwanygGHvQiiD1eH4fKW1iY27kUk5scG2jiGgjNDlfA\nZvH8tuIB7ydSWp3usJrMWp1uXtpRAkBRfdcv8K+8uIdbntnJT//7GfNzErh5aW6Xx5PjDTQMoRh+\n73AVeq3UI+fZMkgxXNXSzokaG6umD09Ocl8sn5SM29spVMNBEbgJsb2LYbNRhyR1CufypnaaHG5m\nZJhpdrip8XtddxY14PHJrJyaEnI/c8dZSYk3sO5YbdjHNxrZcLyW779xmOPVNlZMSqa+zcWWgnoK\natuINWiJ959UxRt1ZFpNatNhJFgy4aEWWPZVcTs1RGV4oJ5hrxv2PAeTLxSjplXOOI5WtbJqeipP\n3boQzRjN71bFsEpUWTReNGpc9/Q2fv3+sR6Pn6ix4XB5WTi+s6FjQnIc1a3OAVscthU24JPh4lnp\nHK1qpaplaKPIQExVm/vQxzy75VS/256qsweaCpUzcIU2f8ZvnFHHU7cu7DFIIDnOOGQNdC6Pj7cO\nVLJ6ZnoPT6w1Rk+rc+BieJM/Uu28aSM/TGXxhEQ0Euw41ciJahv1bR3IskxxvZ1N+XUhT2gUgduX\nTUKjkbCY9DT7l/MLaoU1QvEFF9YJsba5oB6jThP42wi1n/Onp/HpiVrcYY4yH43k+33da79zLk/e\nvACALz2/m9f3lhNn1HUZbDIlLT7w+1WJgEmrRKRazpKejwXEcIQn38feERnGy74y2KNTGQE6PF5O\n1raR57cfjVVUMawSVSYkx2LSi7fVi9tLqOiWkasM21iY2ykMxieLYO+BRohtLqjDbNTx9QvEUuDm\n/MEtN5c02Pn8n7f1me+rCJ/1x/uv5imNPudOS+VYtS0geHw+mVanh+sXZfPht1YGYryCSY430GCP\nvhiubnHyv2tP0Gh3hZyEZo3RB6qjA+FYlY14o45p6SO/5GY26ZmVZWVzQR0XP7GJxQ+vY8Uj61n1\nPxu57bldgfdkMOGIYeVxZVulUnm2vwJca3MiyzLrjtVwzpSUkPFsChfNyqDV6RnWEdwjTa3NyYX/\nu5F/7SoFxO9vXEIMsQYdFpM+UAkGevipJ6fGU1jbFpX4vzFF8mS4492u6RIKAZtEhJXhXX+FxAkw\nZfWgD09l+CmoacPjk8nLUsWwikrUkCSJjd89n7XfFiM+/7T+JCCipf7noxOsP1ZDptVEdmKn8JuQ\nLJqKiusj9wDKsmgAO2tKMrOyLKSZjTzon+41UP69u4w9JU2BL+lQNIXRYKVQ1ihE9aWzM3B5fIFm\nwVpbBy6Pj7k5CSTEhh73mxJvjKpnuMnu4ta/7WDFo5/wf58WsXJqSsjl+8HaJNo6PFhMurDGFA8H\nyycldRnusnhCIt+8UJw8hXrfhSuGE2L1HK9upaXdTUFNGynxRqb6Pa11tg6OV9sob2pnTV7fHfbn\nTUslMVbPf/b1P1nN7fVFnI5xutDicFPe5MDl8XHfy/sorLOzz29fKayzMym1s8HwmdsW86urZ/GL\nq2bx1C0Lu+xnclo8dpeXqpboDYgZ8yj5wKEm0LVUwKnNPe9vLoPS7bD4TtAMzURJlaHl5Z2laCTG\nbKSagiqGVaJOhtXE1HQzNy3N4bU9ZZQ1OvjLp4X8acNJNpyo45LZGV1EkiKGCwbgATxVb6eiuZ2V\nU1ORJIk7zp4AwJ82nBzQscuyzPuHRQzWG/sqem0EVOKe+vKUKpQ2OkiKM7B0omiU+syfKatUjHMS\ne+++Tok3YHN66PBEJyVjV3EjW082cOfZE1n/wHm8eNcydNqeHwODbaCzd3hGtHGuO8smdiZaHPjZ\nGv50y0LuXTUZEF7f7rS0u9FpJGL7GRl91zkTKaqzc/WftrC7uJGpafHEG3XE6LXUtnawzj9O+4KZ\nfdtFDDoNV87L4uOjNf3aUx56+whrHt90RqVPrDtaw5V/3MLdL+7hyj9u4cdvHmZ3cRNxBi21tg58\nPpnCujampHWuJKyYnMwXV0zg9rMmcPnczC77m+j/zBjqgTRjir4qw+9/F/5xtcgoDqalXFxmzBnS\nQ1MZGvJrbPxzVyl3nj2R7MSxM3o5FKoYVhkyvrZqChqNxB/XFwSC86Fr1iqANVbPzEwLn56IfIlY\n8aaeOzU18Jp3nDWBgpq2AYXyH61qpbjBwbKJSVQ0t3OoIvQwBKUipQ8hJLtT3uQgJymWiclxxBm0\nAd9wqb9pMLeP+e+JcaJirPhSB0uJP7XjGxdMZVJq7xYGa4weh8s7YA9r22kmhpdMTEKSYEaGOVCF\nN+m1pJmNlPtPSjxeX8DD3dLuxhqj77eyffX8cfzznuW0dXgpbnAwJS0eSZJIsxiptXWw9lgN83MS\nAhm5fXHtgnG4PD4+ONz3sBPlZK3ZMbTDWKLJ89uKOVzRwq5TjTQ53Ly2t5x7zp3EsknJVDa3c9cL\nu3G4vEzu4z0ZjBKzNpRJK2OO3jzDrZWQ/yHIXtjyRNfH2sTJnpotfGay9aSwFN55zsQRPpKRRxXD\nKkNGhtXErctyeWNfBTtONZCbFMudZ0/s4hdWWD0zjT0ljRF/wW8uqGdCciy5yZ2Cclq6mXa3t4df\nORzeP1yFViPxq2tmA7C9sCHkdkqTniOMuK6yRgc5iTFoNBJ5WRY+qxSxW0erWpEkGNdHZdjsb2yz\nDaKZLZhT9Q4SY/VY+6loW7vFhkWKvcPTxfM50lhj9Fy7YBzXd/NHZyfGUN7UjizL3PPiXlb+dj35\nNbaAGA6HJROSePfr53DdgnFct3AcIGLAPqto4VB5S78WCYX5OQlMSonr1yqhWHQGG303nCgnVWaT\njpuX5nDlvCwevHg6aWYj+TVtbPCfCC+fFF4mdap/OuOZVB0/7dHqQKMHV7cVukP/BtkHUy+CAy8L\ny4SCKobPaPaWNJFlNZEVol9lrKGKYZUh5d5Vk9FrJZodbm5emsvPrswLGd1ywYw0fDJsKgi/+c3l\n8bG9qIGVU7vGdylNW/kR+iqFRaKaFZOSmZZuZnq6udfs18pmURnuL7vW7fVR0dxOjr/6OyvLypHK\nFq59ehvPbjnFotxEjLrel+ItJiEoW9o9Yf0MDpeHk7W9/9wlDfaQgx+6E2qgRCQ4XN5+LQbDzWM3\nzOeubhWQ7MRYypsd/GN7CeuP1+J0+/jiszspqGnrM2O4OxlWE4/dOJ8F/hO9NLMpEKMXrhiWJIlr\nF4xj56lGysJY/o/WakG08flkfvP+sS5/f4V1bVy7YByffOc8HrluLn+8eQE6rSaQHQyw7jvndrFJ\n9IU1Ro9eK/UQw+8fruKGv2znn334/cPlVL2dv289hcMV3t/eqMCSKSrBwRSshcx5cPn/ClG87Q+d\nj7XVgEYHMUmonHnsK2nqkuw0llHFsMqQkmY28cXl4wGYPa73btU546zE6LWBcbbhcLC8GYfLyznd\nGsCmppsByI9wqt2xKhun6u1c5rdxrJiczO7iRmptPT10SmXY3s8X5aHyFtxemXn+qXILchNwun00\n2Dv41TWzeenLy/p8fqSV4R+8cZjVj23qdfuSBkfAo90XlhhFhA9McLWdZpXh3shOjKGssZ2H3zvK\n+dNTefO+s3C6fZyosYVdGQ5Fql/k5SbFBhrqwuGaBaKy/NaB0NXhYO9482laGS6qt/PXTUWBzO8m\nu4v6Nhd5mRbSLF3tIsptjQS5Sf2/LxU0GomUeGMXMezx+vjRm4fZVdzIHz4piNgmtaWgvku8428/\nOM4v3jnKHX/fHdF+zmisudASNBjI2QplO0WGcEIuzLtJDNiw+SvCbTUQl9ZztLPKaU9lczuVLc5e\nIx/HGuo7WGXI+caFU/nJ5TNZ0ccSqE6rYU62NTDONhwq/I1P3atJ1hg9GRYTx6sjG9eqWCQu9k9j\nu2lpDhpJYvX/fso9/9gTiHFyur2BEbGOjr4rwzuKhM1iqb+B64q5Wbxx71lseGAVX1w+vs+4Leis\nDNuc4VWnlOa8w+U9vc5Ot5fKlvawxLAiBJ/dcgrPAHzDp1sDXW8ofm2TTstvPz+XGRkW/v6lJcQa\ntKRbjP08u3cUT+uavPSIEjVykmJZOjGJ/+yvQJZlbvy/7TwXlGUdXDE+XT3DR/zvwS3+VZ6T/jzg\nUFVfpTKckxSLQRfZ11FKvJG6IM/w3pImmh1uLp2dQVWLk52nGsPeV0VzO194didf8gtfp9sbiLnb\nX9o0oP6DMxJrdmdTHEDxZvB5OmPTzvkOeF2w/Y/idlstxI98lrhK5CgpLqoYFoT96SNJklaSpP2S\nJL3rv50kSdJaSZIK/Jfqb1QlJGaTni+vnBQytSCYBbkJHKtsDTs5QWmeSYnrKVoW5Cawpzj8KrOS\nIrF8UhLJfj/ijAwLz92xhHk5CXx8tIZP/c16e0uakGWQJHC4O0VqW4enR+TVjqIGZmSYSfI3wmk1\nEovGJ/b7u1AIjPwNszKsNCCFOqnYeKIWWQ4tSrqTGi8qdu8eqgr83JFg7/CeEWL4qvlZ/O5zc9n2\nwwsCTW4LcxP56Fvn8qPLQkzpCpMsq/DgrZ4ZuZfyugXjKKqzszG/jp2nGtkY9Ps/Utl5gne6eYZd\nHh8er4+j/mMsbXRw9z/2cMdzuwCYnmHu8RylMjwpDOtOd1LNXSvD7xyqRK+V+OXVszHoNGw4Ef5E\nP+XEentRAw+8epCvvLgXu8vLBTPScHtlGk/TE4+ok5AjbBJe/+daQ6G4zBA9FCRPhtmfh93Pgb1B\nVIZVv/CIUN/WwYGyZrxhnKh5fTIuT9eixt6SJkx6DTPH+LANhUhOxb8JBI8U+wHwiSzLU4FP/LdV\nVAbMgpwEXEFfpv3RaHeh00iBJf1glkwQaRB9Dc4Ixtbhoaje3sN/vHxSMs/evoRMq4mnN4ovhh1F\nDWg1EudNS+1SGf7rpiIu/+OWgEhxe33sKW4KuykoFOYIK8NafxXyQDcx3NLu5mdvHWFmpoWLZvX/\n5ZWbHBvIdi2OcFS2y+PD5fURbzy9PMOhiDXouGFJTsCOopCTFNtr9nM4XDI7g6dvXcjySZF7KS+b\nm4lBp+HR948DkF8tTrDcXh9/+KSAiSlxmI26084zfMszO/je64c4WtVKmtmITiOxr6SJq+Zn8c+7\nl4ds0lEqw30lm/RGqt8m4XR7+f7rh3hpRylXzssi1Wwkw2KipjX8DOLgqZU7ihoobXSwcmpKwLZS\nPVbyjK3ZIjXC5k80cTSIpjpjkGBa+QC4HbD7b8IuoVaGR4RfvnOUa57ayjf+tb/P7bw+mS89v5ub\nn9nR5f59pc3My04IKxFpLBBW6UaSpGzgcuDXwHf8d18NrPJffwHYCHw/uoenMpaYnyMWF/aXNgca\nkfqioc1FUpwh5DK0kum7u7iRq+ePC2tfQMilcYNOw5dXTuJX7x5lb0kj2wsbmD3OSprZyPGqoCah\n2jZcHh+b8uu4cl4Wh8pbaHd7BySIFGL0WrQaKexUB1uH2G5vSRMujw+DTkOLw81P3vqMBruL5+5Y\nEvaH32VzMjAbdZQ2RDYMRWk4ijWc/pXhocKk1wa855FiMelZk5fOe4eEIKluddLicPPWwQoK6+z8\n9YuLeOSD46eVZ/hYVSt7Spo4WtWKQafhorx0vnfxDBJj9X2ugqRbTKzJS+eiMJsMg0k1i4E0n/vz\nNo5UtnL/+VP49pppgMjnjiR2TRG7hx+6qMuJkXJSWdPqZPY4a8THeMZh9aettJSJKrGjHuJSxDKY\nQtoMSMuD8t1grwNzxsgc6xhHicncdrIeWZZ7tWP95dNCNuXXoddKuL0+9FoNTreXIxUt3HPupOE8\n5NOacE8JngAeBILr7OmyLCuBmNWAulaiMigyrCYyraYeVU2319elsUWhwd4RsDR0Z2amhXijjl1h\n+gYb/F+cySEsFwA3L80hMVbPb94/zv6yZs6ZkkysQdelgU4ZoqGMaO7uFx4IkiRhMenCrgzbnB40\nkqia//bD49z3yj6W/GYd7xys5L7zp0T0hS5JErnJsZREONhAyeo9ExroTleuW9D1BG5PSSOPr81n\nxaRk1uSlY43RU9pgD4yAHmn+s0/4TB0uL80ONxfOTCfVbOzXDqTVSDxz22KWDWD1JNVsxCcLH/Wz\nty/muxdPR+tPqkmJN1JvC9/aUNXiJN6o67FCkOG3cYyZSXcBMez3DdsbILbnhEqSJgoxLHvBPLCT\nPpXBofStNDncvb4/9xQ38tjafNItRtxeOSCgD5W34PHJql84iH7FsCRJVwC1sizv7W0bWXQWhTSu\nSJJ0jyRJeyRJ2lNXF7n3UGVsMT8noYcY/s6rB7nmqa09vMQNdhcp8aGXsrUaiYXjE9ld3LcYfvjd\nozy+Nr/Tf9yLuI416LjjrInsLWnC65O5bmE2sQYt7S5voLFOaW7acKIWr0/u4RceKGaTPuw0CZvT\nw6VzMpmZaeHZLafYdrKeW5bm8u7Xz+Hbq6dG/Nrjk2MjnvJl91tHzgTP8OnKudNSSYk3MCtLLE/f\n9cIemtvd/OSKmUiSREKsnoPlLax+7NMRPlKR4vDm/kpWTk3BoNMwNS2eNQPwSkfKmrx0bl6aw3vf\nWMmF3V4vxRzZGPOaVmfIVaGUeAMaiYgsF2c01mxx2eyPpnPUQ1yIE5XECeD0f06nzhiWQ1PpxOeT\nqbV1sMy/AhrKWtjscPHNfx1gXEIMj984H+hMWNrrT20KZwV2rBBOZfhs4CpJkoqBfwEXSJL0ElAj\nSVImgP8yZLeCLMt/lWV5sSzLi1NTU0NtoqISYEFuAqWNDhraOmh3ealqaWdnUQPHq238ZWNRl20V\nm0RvLBmfSH5NG0323itE7x+uYsOJWur9NonexDXA7WeNJ86gZfH4RCanxhNn1OHxybi8PmxON00O\nN3PGWWl2uNl1qnHQfmEFS4yO1ggqwxaTjj/fupDn7ljMzh+t5qGrZjF7nDWiVAOFnKRYyhvbw2rS\nUFAqw3FngGf4dEWv1fCve5bzzG2LWTpBfOFdvyibWVmish9cwYzk/2Yo2FxQT31bB19YPp4nbpzP\n4zfOD5klHm2yEmJ45Lq5gQzvYFLiDDQ6XGEnoVS1OMm09vQ0iyxk09jxDBtiITa5M17NXi9udydx\nQuf1tIE3mqoMjAa7C69PZtX0NCQJdp5q6NIg5/L4+OpLe6m1OfnjzQtYkJOIJEFBkBielBo36ELN\naKJfMSzL8g9lWc6WZXkCcBOwXpblLwBvA7f7N7sdeGvIjlJlzKD4ht85WMnSX69jxSPrqbV1YDbp\neGrDyS4DJRrtrl5tDSBG8ALs6SW7WESNOalt7Qh4hhP7+HBIiDXw8t3LeewGcZYd449Fa3d5KWsU\nDTi3LstFp5F4fF3+oP3CCmZjJJVhN2aTngkpcVwwIz3iuKrujE+Kw+X18b3XD/Yrugrr2pBlGbtq\nk4gKU9LMZCXE8Mrdy/jbbYv5+ZWzAo8V1XXaI0KlSrQ63Tz87tFhSZx4fV85ibF6zp+exmVzMk8L\nb22K2YgsE3YKRHWLk3RL6JHZ6VYT1WOlMgzCKqHYJByNoW0Sif7hNXFpEKsO3BhulJWKiSlxTE83\n88zmU8z6+Ydc8sQmNuXX8f7hKnYUNfLodXOZl5NAjEFLdmIMB8tF+sS+0iYWqVXhLgzmm/JRYI0k\nSQXAav9tFZVBMWecFa1G4tfvH8PW0VkNffS6ucQYtPzoP5/h88k43V7aOjwk91HJnZ+TgF4r9WqV\nUJb/69o6qLU5SYjV99tcNj8nITD6Wal82l3egF94VpaVpROTAl7lwfiFFcxheoZdHh8dHh/mKIrQ\nFZOTmZ5u5j/7KgJz7EOxp7iRC//3U/aUNKkNdFFGp9WwOi+9i+1kQW5C4HpTCMH32p5y/rblFP/d\n3/do58HS4nCz9mgNV83LGvSJVzRR7E7KSW5feLw+6to6yLCGPrFONxupbR1DY5+t2dBcBh4XdLSI\nBrruJPnFcJpqkRgJFDGcYTXxwp1LefKm+Xx55SRcXh93/2MPr+wqxWzUcW1Q78GFM9JZf7yW6/+y\njUa7i3OnqSv1wUT06SXL8kZZlq/wX2+QZflCWZanyrK8Wpbl8BPOVVR6IcagZUaGGbdXZtX0zj/W\nc6el8OPLZrKruJH/7K+gwW99SO6jkmvSa5mbndBrE12xf1yu1ydTUNPWq1+492MV4sTR4eGtAxVo\nNaLh7IeXimVDjURUlqEsMfqw0iSU6rESxxYNJqbE8db9Z2M26njnYGWv2ylZxFUtTtr8nmG1Mjx0\n/OTyPB65bg4QeviGIoI/Plo9pMfx9qFKXB4fn1uUPaSvEynK33I4vuHiBjten8yklNDxbomxhpAn\nHKOWhFxRGXaIBuCQlV9rjohcS5vV8zGVIUdZqUi3GEm3mLh6/ji+f8kMXv3KCiQJdp1qZH5uQhe7\n0s+uyOOLy8ezr7QZs1EX9pj4scLpcyqvouJnfo6oel04M52bluQwLT0es0nP9YuzyU2K5cPPqvnz\nxpOAODPuiyUTkjhQ1sxlT27mVH3XiLCSoPzcY1WtfQrrUMQZRGX4D+tP8v7har538XSsMXrmZFv5\n1z3Lef3esyLaX2+EWxlWtuneET9YTHotF8/O4MMj1b0ORNlWKL44W9rdAZuE6hkeOkx6LXn+sPwm\ne9cTpdIGB4crWkg1G9lR1EiLw43PJ7O9sCHkZMKB0uJw8+S6AuZlW5lzGlgjglG8/+GI4eP+HOdQ\nQ0EAEuL0NDvcgUbZUY81G9x2aCgQt0PZJHQG+MIbcM63h/fYRgCP18e7hypPqymENa0dSFLPhu+U\neCNr8kTU3cJuNgiNRuLBS6aTYTFx7cJx/U4/HWuoYljltGPl1FSMOg0Xzkjj0c/N5eNvnweIqK/F\nExJZf7yGl3aUcuuy3B5DMrqzdKL4QDha1cq2wq7L/MVB+bm2Ds8AKsPiw+Sdg5VcOjuDrwRlNi6f\nlNzjw2igJMQYsHV4QsbLBaM0rkWzMqxw5bwsbE4PG0/0TIRp6/Bw0J8A0trupr5NfFDHD8FxqHSS\n6B8K0r1qebhCCN5vXDgVr09m/Yka/m9TETc/s4OvvtRrKFDEPPLBMZocLn597ZwBNWcOJSn+YR5/\n3ljISztKaOljQMnxKhtajdTrZMbEWAMurw+HK7zJmGc8SrxapX+YQyibBMCk88A8+quLHx2p4f5X\n9geiMocbl8fHQ28fodbW6Vsvb3KQbjaFtPV93r9KE6p522zS88kD5/HTK/KG7oDPUFQxrHLacfGs\ndPb+dE3IiVWLxyfhk8Gk1/Djy2cGckV7Y+nEZOZmi6pV8OjWskYH7xysZHJq5xjYvpIkQhHnt0lM\nSYvn99fPGzJBMC1dfEkrncC9oYxsHgoRevbkZJLiDCGtEruLG/H4qyat7W42nKhlQU4CRp1aeRhK\nEuLECkD3SXTHqlrRaiSuX5RNmtnIx0dq2HJSnMR0bwQ7VtXa70lWKPaVNvGv3WXcdc7E06JhrjsW\nk55fXzsbCYmf/Pczzv7t+kDGaneOV9uYmBLXa6UsMVb8nseMVUKJV6vYJy7jxra3VIkhKxihTO89\nJY08v62YB18/FLgvv8bG1PTQJ2/nTUtl/QPnsWJy6H6VOKNOnToXAvU3onLaIUlSr35TJST8whnp\nYTVoxRt1vH3/OaRbjFQ0icQHp9vLvS+LCtn/fXFRYNtz+qkyd2d6hpmbluTwzG2Lh9Qfm+fPmj1S\n2fcSt2KTsETZJgGiieuyORmsO1YTsEEobC9swKDVYI3Rc6zaxmcVrVw0S51KNdSYjTp0GqlHYsKx\nqlYmpwpxtyYvnU/z6wI5pF6fTLu/wvm3zUVc+uRm3vAPzIiEjSfq0Eii+ny6cuuy8Xz4rZX8f3t3\nHl9Vde5//LNO5pmQgTnMM4Qwl4KCqGiVqkhtlVarrfcqbdVODrcTWrXVX623am2prS1qlbYOVK+o\nWEBExYEZFJAxQBgzz3PW7499ckhIAgnZyUlyvu/XKy84++yzz8qTk51nr/2stV5eOI2i8ipe33as\n0f12HS9oskQC8C3L3dGWv24z3VKcfw9/7Pwb29t/bekANh92kuG6M7i0h2P5pRSXV1FV7XQ0fHrk\n1O/wnhNFDO/R9Gf2XJY3D3RKhqVTGZoczQ3T+nPrzMEtel3vbhEczXeS4ftf38GnRwr47VfTGJJ8\n6oRSd8Bec4SHBPHQ/FQGJkadfedW6BcfSXRYMDuONZxYva5TNcNtk5hfMa4PZWST3dsAACAASURB\nVJU1LFmXzuGcEt7fk8WBrGI+3JfN+JRuJMWEsdY7kO7CEclt0gY5xVl8I7TBALpdxwsZ0dO5gJoz\nuiclFdXkllT67jBkF5fz5Dt7eWD5ToAWrdRWa+exAgYmRnX4QZLGGCb2705q3zhW7jzR4PnDOSVk\n5JYyvl+3Rl7taKocpcuKTIDgCCg8BmFxENZ00tXVlVdV85k3Cd2X2bJl6VujrLKayx57j9+s+Ny3\n7HpWUTnWWg7llFBeVcOwM1zAScspGZZOxeMx/PLKMYzt27Jbs326RXA0r4xlmzN4/uND3DpzsG80\n7XVTUrj70hEd9taRx2MY1Su2wSpDO48V+OqEAd7+7DgRIUEtrn1urkn944kKDeI3Kz5n/h/X8a1n\n1vM/r2zj06P5fHFwIrHeJNxjaPMLBHHER4bUG0C350QhR/JKfXcTpg1K8E2198XBTu3nr9/YxW9W\nfM5Vab2JCAmiqLzlPZ47jxUwwjuArzO4aGQPNh/K47vPb6o3X/Ya78XbBWe4eDtVJhEgPcPGnCqV\nCPBe4b0ni6iodqarbM+e4Xd3Z5JbUsnmQ7nk17kI++O7+3wzxZypZ1harmP+9RdxWZ9uERzIKuZ/\nXtnOlIHd+fGcYb7nfn31WBbOallPc3sb1TuWnccKfCOaP9qfzZcee48HXt8BwHMfpvP2jhPcduGQ\nNlsG2eMxvoEXJwvLqaiq4aP9OVjrzEccF+EkDckx4QR30AuLriY+MpQjeaW89elxHv3Pbm55biPx\nkSHMn+AkM6HBHmZ5E73pQ5xkePn2Y8wYkshvv5rW7JlK6iooqyQjt9Q3m0VncNP0AVye2ovl24/5\nLirLKqt5fetRUrpHMugMF2+nyiQCpGcYlAx71c5TPaF/PEfzy9otIa4t6dl1vJDMolPTiP6/tz7n\nsVV7CD7DgE85Nx37HpeIS2oH45VV1vD768Z3umRtVK9YiiuqOZhTwsDEKH6ybDvgLCedFBPGE6v3\nMntEMjfPGHSWI7XOtVNSuDKtD5MfXOnrlQ4P8ZDWrxux3mS4V7czT3cn7kmIDuXNT49z69834jEw\nOCmaR7+WRlLMqbsDt80ewpjesYyoc1t12uAEgjzGSYbLW5YMf+qdrWJkr87TMxUTHsIv5o5i+bZj\nfHwgm4zcEn715k4O55Ry16XDzzj4tVttz3BxgPQMA3TzzigR4MlwbWnMl8f15v29Wcz+7btMHdid\n22YPZcbQJmbZaKWSiipW7jhBYnQYWUXlbDqYS3RYMBt/fjGZheV8fryQkCDTZp0egUrRlIBQOx/x\nbbOHkNzEsqsdWe1t7x1HC+gX7/Ry942PICO3lCdW7+Wrk/ryq3lj2yXJjwgN4vHr0sgsLOful7cz\neUB3QoM9vp7h3nENZwGRtvGjOcOYNTyJET1jGdYjxjfdX13DesQwrEeMb2VAcJJmgOjwkBb1DFdV\n1/DQm7uIjwxhYkrnWoa3R2w4Kd0jfbXSw3vE8PzNU3095k0JCfIQHRYcODXDcGp6tdg+Z96vi6td\nznzW8CTeu+sClm0+wt8/Osjt/9jMpp9f7Op7FZVXkVdSwZbDeZRWVvOTy0bw81c/44N9Wb5zalJM\nWL0LXXGPkmEJCBeN7MGSmyZzfgtnjOgohvaIJthj2HEsn0kD4rEWFkxN4d+bj/ClMb34/kVD23Wu\n19kjemCt5fVtx3zzWtbOYnG2hVDEPUOSY+oNAj2TurOvDEl2ygJiw4MpKmt+j+fid/exLSOfJxdM\nIC7S/VlL2trYPnEcyinhjguHctvsIc2+eOwWGRJgZRLqGYZTdwO6RYQQHOThuxcMITTIw4Nv7CS/\npNLV34G7X97mDEbu143kmDC+NjmF+5fvpKKqxnd3QtqOkmEJCEEew6zhnXeGg7DgIIYkR7PjaIFv\nXfohSdG+BUn8wRjDc9+e6ntsceqZ22JqN3FXSncnGY4OC+Z4fhnWWtKzS8448HHH0QIeW7WHy1N7\ncXlqr/Zqqqvuu3I08yf2YfaIli0W0T0qlMxmrGbXZSQMcf7tPtC/7fCz3JIKZwrDOhdNKQmRABzM\nKSY1sulZSFricE4Jb24/Ro2FVbtOctP0AYQGexiUGMWu44VKhttB5yqcFAlgo3rHsuNYAScLnD/K\nHa3co7jcmb9WyzB3fKHBzqm/dgDdM+vSueCRNb564NNVVNXwoxe3EhcRwv1XjmnPproqMTqsxYkw\nOEvbrk/PrTd7S5fWdxLcvAoGnOfvlvhVXkmFb3GbWindvclwdolr7/OntfvwGEOoN+mem+r0yNcO\nkusW0bIFoaTllAyLdBKjesVyoqCcnd75hpM7WO3YAG+PiUY5d1yPXZvGI9eM8z2ODguhqLyKNz49\nDsCx/LJGX/f7d/ay81gBv5o3lu5RgfeH+bKxvaioqmFVI3MVd0nGOAlxB1tmu73lllT65pmuVZsM\nH8ppfTL84b5sBtyznL9/dIjrpqRw3tBEUrpHMiHF6XEe6i2BCgtRqtbWVCYh0knUDqJ75/OTAB1u\nIMUN0wYwpk8ckwZ0roFVgeTKtPoDomLCgykqr+K4NwmuHTBUV3WN5U/v7uPysb0CdmXBSf3jSY4J\n483txxvEULquvJIK39R6taLCgkmMDuOQCz3Dz32UDjgdCXdcNJRgj6GsssY3/mOwt7Y/pziA6tX9\nRMmwSCcxupez0MimQ3kkRIV2uEVCPB6jRLiTqV2tsLaXK6uRutjs4nLKq2qYOihwf7Yej+HSMT35\n5/rDFJdXaVqrAJFbUsmARuro+ydEcjCndSvS5ZdUsnKHUx+86MujG92nj3dK0Mrqmla9l5xdx/pr\nKiJNiosM8Z0cO1qvsHROpy/dnVXYMBn21agH+GfusrG9KK+q8d2Zka4vr6SiQZkEOKUSre0ZXr79\nGBXVNVw9vm+T+6T27cYt5w/iwavGtuq95OyUDIt0IpeNdW5T111SVuRcxZw280djMyacLHRKKDra\ngM32NnlAdxKjnVIJ6ToycktY8VnDn2lVdQ0FZVWNzuSQ0j2SYwVllFdVn/P7LtucwZDkaMb0aXol\nxyCP4X8uG9lo77S4S8mwSCfyP18ayd2XjuCeL43wd1OkC4iuc7t/XN+4BmUSGw/msHZ3FuAsWhHI\ngjyGS8f0YPWuk5RWnHsSJB3Ln9fuZ+HfN9ZblAZg8+E8gEZ7hvsnRGItZOSWntN7HsouYX16LvPG\n92nX+eGlaUqGRToRj8ewcNZgLhzZ8umhRE4X7S2TCA320DMunMzTyiTufHEbS9alA5AUHdhlEuCU\nSpRWVvP8xwexVndnOpri8ipnvt4z3Dk7nFNS72e3P6uYGgt7ThT5tr28MYOv/+Vj+sZHMGd0w3Nt\nf+/MOedaKrFs8xGMgavGazBmR6FkWEQkQNUukLJgSgqJ0WFkFZ0atV5ZXcNB78C62PBg39zEgWzK\ngO6MT+nGA8t38tcP0v3dHDnNSxszWPj8Ji57/D2++ddP6vX2VlXX8K0l6znv/73DSxszfNv3ZzoD\n4T4/XkhVdQ0PvL6DH724lYkp8bz2vRn0amR5+X6+uYZbPojOWsuyzRl8YWCCbwyI+J/ObiIiAWpI\ncjQvL5zGz+eOIikmjJziCt/I9YzcUl9tekFZgCw2cRbBQR5evGUas0ck88iKzzmad263yeWU/JJK\nMnLdWcCidiGMvSeLWLsnk3tf+8z33EsbM1i9yxn8uGqn829ZZTVHvD/DXccLueulbfzl/QPc+MUB\nPPvtKU3OqZ0UHUZkaBB7M4tafIfgYHYJ6dklnXYVx65KybCISACb2L87QR5DT29NcG1vV/o59HoF\nguAgDz+9fCSlldWaWcIFN/z1Y2Y8/A4VVa2fPuxAVhEje8Wy/d5L+O6sIfxrQwZ//+gg1TWWJ1bv\nZXxKN742qR/r9mVRVV3DgaxTn/HXtx3llc1HuOX8Qdx7xegzTl1pjKFffCR//+gQDy7f2aI27j5R\nCMDo3k0PnJP2p2RYRESYNTwZY+C1LUcBSK+TKAxK0mj2ugYlRhETFsyuY4X+bkqns+t4ATMeXs32\nDGfp763ef6f9ehV/eW9/q459IKuYQUlRRIQG8YOLhzFreBL3vvYZf1yzlyN5pdw0fSAzhiZSUFbF\nTUvW89u3dzvvPSiBk956+f8+f1Cz3uunl48EYNOh3Ba1cc9JpzZ5aI+YFr1O2paSYRERoWdcONMH\nJ7JsyxGstaRnFRMTFszKH57Pi7dM83fzOhRjDMN7xrDreIG/m9LpbM/IJyO3lDv+sZm8klM16tnF\nFTz81q5zPm5FVQ2Hc0sZ5J2GLMhjeOza8aR0j+SRt3cTFuzhwhHJzB6RzFVpvTlZUM7aPZnERYTw\nx29M4P6rxvD7BeNJaOZA0fOHJXHdlH6kN3MQXWZhOcXlVew+UUifbhH1ZnIR/9NPQ0REAJg3vg8/\nenErGw7msj+rmP6JkQxJVg9WY0b0iuHVzUex1mp6rCZUVNXw3p5M3vr0OMFBHr4+NcU3l/WB7GL+\n+7mNAMyf0Jc1n5+kuKKKmhqLx9PyeB7KKaG6xta7ixEXEcJTN0xi3pMfMHN4km/lwN9dOx6AmhpL\nZU0NYcFBXP+F/i1+zwEJUeQUV5BfWklcRMP5iOu66skPOJJXSp9uEQztEd3i95K2pWRYREQAuHRM\nT3727095ZdMRPj2Sz8WjNIVfU0b0jOXv5Yc4kldK3/hIfzenQ1m7O5Nn1qWz8VAueSVOolhTY3lx\nw2HG9o0jOiyYb3yhP4vf3QfALTMHMbF/PD9Ztp2j+ecWzw3pOQAMPe3ibUhyNO/cOYvI0KAGr/F4\nDGGehtubq3YxjPSsYsb169bkfjU11jdQ70heqQbPdUBKhkVEBICosGAuHdOTlzdlUFFVc8Y/8IFu\nSLLTu3cgq1jJ8Gme//ggq3ad5Mq03lyZ1psZQ5LIL61k8oMr2Xwoj4GJUfzw4mG8vzeTvSeLGJgY\nRW6xUzKx92RRi+NpreW5jw4yvEdMowPTEttojuyBtclwduPJcEVVDaHBHt9iNlem9WZkr1iuGNe7\nTdoj507JsIiI+Mwb34dlm48AMK6vkuGm1M6+caKg4RLWgS6zsJzpQxJ4zFuOAJAUE0ZidChZRRUk\nxYQRGuxhyU1TOJhdTEiQx3dxsWrnSXYcK2DnsULunDOclISzJ8abDuXx2dECHrhqTLuWrKR0j8QY\nWLIunQNZxQxJjuayMb3weAxPvrOXv32Qzuu3zeBovtMrfGVab2aP0N2WjkjJsIiI+EwfkkhyTBh5\npZUM76l64ab0jKtNhsv83JKOJ7OonIkp8Q22p3SP9CXD4PTY1vbado8KpXtUKM99dNC3/xcGdefr\nCWev5X3uw3RiwoKZ184ruoWHBPG1Sf1Y83kmj63ag7Xw87nlXDelH0+t3U9+aSWLXvuUy1OdnmDd\nQei4lAyLiIhPkMfwg4uHkZ5VfMa5VgNdeEgQcREhHM9XMlyXtZaswlMJb139E6LYdCiv0aW9jTE8\nuWACuSUVpPaNY8bD71BQevbFXrKKynlj+3EWTE3xDZBrTw/NTwWgvKqab/zlY/76/gEiQ4PIL63k\nsrE9eWP7cd/KjlpxruNSMiwiIvVcNyXF303oFHrGhqtn+DTFFdWUVlY3kQw7PaONPQcwbXAC4CTU\nIUGG/NLKs77fP9cfpqK6hm+cw2wQbgoLDuLm8wZxy3MbeXzVHhKjQ3ns2vEczP6AjQdziY8M8Uuy\nLs2jy34REZFzkBwbpmT4NJnexSsaG7RWmwwnN5EM1zLGEBcRQkFZ08mwtZZLf7eW36z4nOlDEnw1\nx/40c1gSYcEejuWXMbF/PCFBHh6en0qQx6hEooPTZYqIiMg56Bkbzp4TRf5uRodSmww31vs7uncc\nxsDgZiSuseEhFJyhZ/hkYTm7jjsrAP7w4uHn2Fp3hYcEMXVQAmt3ZzKxv1MzPaZPHL+eN5aIRqZ2\nk45DybCIiMg56BkXTmZROdU1lqBzWCiiq6msrmH7EWd55caS4WE9Ylj/04uaNdVZTERIk2USGw/m\nsumgswzyC/811Zd4dgTnD030JsPdfdu+OrmfH1skzaFkWERE5Bz0iA2nusbyz/WHuXpCH1Z8dpyS\niuqArbn+y3sHfEsqNzZIDpo/529cnWQ4r6SCNZ9nMrJXLAnRodz4108oLHcG1w3v0bFmPFkwNYWE\n6FAmpGhaws5EybCIiMg5+OLgBAYlRvGTZdt56M2dFJQ5CVqgJsNH8kp8/4+PDG3VsWLDg8nIcY73\n3IcH+e1/dgMQ7DFU1VjffglttKDGuYoMDWbe+L7+boa0kAbQiYiInINBSdGs+tFMXvivqcwcnuzb\nbq09w6u6rvBgpy729tlD8LSybCS2zgC6PSeL6BkbziPXjOOaSf1YOGtwq9sqUpd6hkVERM6RMYYv\nDk7ki4MTGdsnll+9sYvC8ipiw0P83bR2V1pZTUJUKD+c0/oBbbVlEtZa9mUWMbxnDF+Z2JevTHR6\nXXOLK7RcuLhGybCIiIgLkmOcVelOFpQHZDJcVllDeIg7sybEhodQWW0pqahmf2YxUwZ2r/d87WIX\nIm5QmYSIiIgLaufPPVnYcO7hQCidKKusJjzEnbQiNsLpq9t9opDSymoGJfl/HmHpupQMi4iIuCA5\n1kmGa+farbXreAHDf/4We0927TmJSyurXZtPNy7C6Vnf6J1CbXBSlCvHFWmMkmEREREXJEU7ZRKn\nJ8Mb0nOpqKph6+E8fzSr3ZRWVBPhYpkEwAPLdxIVGsTInrGuHFekMUqGRUREXBAbEUxosIeTpyXD\ntT3C6dnF7dKODek5fLgvu13eq66yqmrXaob7xEcA0CM2jFe+M534qNZN1SZyJhpAJyIi4gJjDMkx\nYZwsqF8zvC/TSYb3Z7VPMvyVxR8CsHXRHF+5QXsorahu9qIaZzM4KZqP/udCkmPCWj1Nm8jZqGdY\nRETEJb3iwknPLqm3zdcz3A7JcN2Ben/74ECbv19dZZXulUmAs9y1EmFpD+oZFhERccl5Q5N49D+7\nmfbrVUSGBjEhJZ5j+WUEewwHsoqx1mJM2yV4mUWnSjRe23KU7180rM3e63RllTWuJsMi7UU9wyIi\nIi65bGxPAI7ll9EjNpz/7DwBwIUjkympqG4wuM5tBzKd3ueLRiazP6uY/ZntN4OFm7NJiLQn9QyL\niIi4ZEhyDOP6xpEcG86fb5iEtZac4gq2HM5jxWcnOJZfRnJsuG//Y/mlFJVVMSQ52pUe4wPeUoxv\nzxjEyp0nWb3rZLvN0VtaWU2YS/MMi7QnfWpFRERc9Mp3pvOnb0wEnEF1CdFhJHgHlmUX1+8ZXvDn\nj7n4f9fyhzX7XHnvA1nFhAZ7mDKwO8N7xLB610lXjns2NTWWiiqVSUjnpGRYRETERUEe02DgV4J3\narCsogrftsM5Jb6e3Jc3ZbT6fTNyS3hl8xFG9oolyGOYPTKZTw7kUFBW2epjn01ZVTWAkmHplJQM\ni4iItLGEaCcZzq6TDNfOBbxgagr7M4s5dNosFNCyZZyfWrufwrJKHvlKKgAXjkimqsby3u6s1jS9\nWUornGTYrXmGRdqTkmEREZE2FhkaTGRoENl1Znt4b28WidFh3DxjIAAvbjzse+6DvVmMu+9tZv5m\nDdU1zUuID2aXMDQ5hqE9YgAYnxJPt8gQVu064eJ30riyqhpAPcPSOSkZFhERaQcJ0aFkeZPhbRl5\nLN92lMvG9mRQUjRzU3vxxOq9PPr251RW1/DCJ4fIL63kUE6Jb9GOWp8fL+Tp9w80mJniSF4pfbpF\n+B4HeQwXDE9mzeeZzU6oz5WvZ1izSUgnpNkkRERE2kFidBjZxRVUVNVw10vbSIoJ48eXDAfg0a+m\nERYcxOOr9/Luniz2nihk8oB41qfnsi0jn2E9Yth0KJcnVu3hnc8zAdh5rIBHrhkHOOUUR3JLmTks\nqd57zh6RzLLNR9hyOI+J/ePb7Hsrq1TNsHRe6hkWERFpBwlRYWQVVfDHNfvYdbyQB68aS2y4s1xy\naLCH3351HL9fMJ70rGKKK6pZOGswkaFB/GvDYa5/+mOu/sM6thzO485LhvPlcb359+YjHMkrBSC3\npJLSyup6PcMA04ckArDpYG6bfm+1yXC4plaTTkg9wyIiIu0gMTqUlTtPsPdkIVeM681Fo3o02Gdu\nam8m9o/nvd1ZzBqWTFJMGJ8cyCEhKpSfXDaCr0/tT1RYMPszi/i/rUd59/NMFkxN4UiukxT3ia+f\nDMdHhhAW7Km3Ml1bKFXPsHRiSoZFRETaQVSY8yc3JjyERV8e1eR+veIi+OrkfgB8dVI//v7RQV5a\n+MV6vb4DEqIIC/b4Vpg7kufMRHF6z7AxhsTosDZf+U6zSUhnpmRYRESkHfTz9to+PD/VtwjH2Xz3\ngiF8Z9bgBqvTeTyGgYlR7PfOU7zPuwzz6ckwQFJMmG/gXlupnU1CybB0RkqGRURE2sGCqf05b1gS\ng1u4PHJTyzQPTorm06P5bDyYy+Or9jCpvzOV2umSYsI4nNNwDmM35Zc48ydHajYJ6YRU6S4iItIO\nQoM9LU6Ez2RwUhSHc0q4+Zn19IoL50/XT2w0cU6Mbvue4bd3nKBf9wh6xYW36fuItAUlwyIiIp3Q\noKRoaix4jGHJTVOaLL1IinGmdKuqrmmTdpwsLOODvVlcOa5Pk73YIh3ZWZNhY0y4MeYTY8xWY8xn\nxpj7vNu7G2P+Y4zZ4/237SYwFBERkXqmDurOhJRuPH3jZAYkRjW5X1J0KNZCTklFk/u0xutbj1Fj\n4arxvdvk+CJtrTk9w+XAbGvtOCANuNQY8wXgHmCVtXYosMr7WERERNpBr7gIXvnOdNL6dTvjfkkx\nTo/x3z882Ca9w69uOcLo3rEMSY5x/dgi7eGsybB11K4FGeL9ssCVwDPe7c8AV7VJC0VEROScJXrL\nJx5fvZcP92c3us/B7GLySypbfOwDWcVszcjnqrQ+rWqjiD81q2bYGBNkjNkCnAT+Y639GOhhrT3m\n3eU40HD2cBEREfGruoP2juWXNXi+srqGmb9Zw83Prm/xsf+9+QjGwJfHqURCOq9mJcPW2mprbRrQ\nF5hijBlz2vMWp7e4AWPMfxtjNhhjNmRmZra6wSIiItJ88VGh7Lr/UoAGi2+UVVbzwd4sAD47WtCi\n41preXXLEaYNSqCnZpGQTqxFs0lYa/OAd4BLgRPGmF4A3n9PNvGap6y1k6y1k5KSklrbXhEREWmh\n8JAgYsODOVFQv2f4W0vWc+PfnB7hif1bNg5+z8ki0rNL1CssnV5zZpNIMsZ08/4/ArgY2AW8BnzT\nu9s3gVfbqpEiIiLSOsmx4ZwsONUzvD0jn3X7Gq8hbo4th/MAmDyge6vbJuJPzekZ7gW8Y4zZBqzH\nqRl+HXgIuNgYswe4yPtYREREOqAesWGcLHR6hovLq7h/+Q4iQ4NYd89s0vp1o6yyukXH23o4j5iw\nYAadYVo3kc7grMsxW2u3AeMb2Z4NXNgWjRIRERF3JceEsz49h7ySCm7823q2ZeTxyDXj6N0tgsTo\nUI4XNBxcdybbMvIZ0ycOj0cLbUjnphXoREREAkByTBgZuaV89U8fsuNoAX/8xkSuntAXcGqKSyoa\n7xnOLipnQ3pOvW3lVdXsOl5Aar+4Nm+3SFtTMiwiIhIAahff2H2iiL/dNJlLRvf0PRcREkRZE8nw\nE6v38pXFH3L3S9t8pRRHckuprLYM00Ib0gUoGRYREQkACdGhAHzvgiFMH5JY77nI0CBKmqgZ3pdZ\nRFRoEP/ccJirnvyAfZlFZOSWAtA3PqJtGy3SDs5aMywiIiKd32VjexEbHsIFw5MbPBceGkRpEz3D\nGbmlzBqezDWT+vKDf27hiifeZ+ZwZ6rUft0j27TNIu1BPcMiIiIBICw4iAtH9mh0wFtESBDlVTXU\n1NRfP6u6xnIkt5S+3SOYNTyZN+44j26Robyx/TghQYYesVpsQzo/JcMiIiIBLjI0CIDS00olThSU\nUVFdQ4q3B7hXXATnD3N6hXvGhROkmSSkC1AyLCIiEuAiQhpPhg/nlADQL/5UOcQk70p1pRU17dQ6\nkbalZFhERCTAhdcmw6fVDR/2DpSrWxtcu2xzTnE5Il2BBtCJiIgEuMhQJx04vWd4f2YRwR5D726n\naoP7J0Ry+dhezBvfp13bKNJW/J4MV1ZWkpGRQVlZy1a+kc4nPDycvn37EhIS4u+miIhIHRGhzo3i\n03uGtxzOY2SvWMKCg3zbjDE8+fUJ7do+kbbk92Q4IyODmJgYBgwYgDEqxO+qrLVkZ2eTkZHBwIED\n/d0cERGpIyKkYc9wdY1l6+E83yp1Il2V32uGy8rKSEhIUCLcxRljSEhI0B0AEZEOKCK0Yc3wnpOF\nFFdUMz6lm7+aJdIu/J4MA0qEA4R+ziIiHVNjs0lsPZwHQFo/JcPStXWIZLgj+Pe//40xhl27drXZ\ne2zYsIHbb7+9zY5f6/vf/z59+vShpubUtDevvfYaDz30UKP7L1myhO9973sALF68mGeffbbN2ygi\nIh1HZCM9w/uzigkN8tA/IcpfzRJpF36vGe4oli5dyowZM1i6dCn33Xef68evqqpi0qRJTJo0yfVj\n11VTU8OyZcvo168f7777LhdccAEAV1xxBVdccUWj7arr1ltvbdP2iYhIx1M7tVpJnZ7h9Kxi+nWP\n0MIa0uWpZxgoKiri/fff5+mnn+Yf//iHb/uaNWuYOXMmV155JYMGDeKee+7h+eefZ8qUKYwdO5Z9\n+/YBkJmZyfz585k8eTKTJ0/mgw8+AODee+/l+uuvZ/r06Vx//fWsWbOGuXPn+t7zpptuYuzYsaSm\npvLyyy8DsHDhQiZNmsTo0aNZtGiRry0DBgxg0aJFTJgwgbFjxzbZg71mzRpGjx7NwoULWbp0qW97\n3d7fG2+8kVtvvZWpU6dy11131Xv9vffeyyOPPALArFmzuPvuu5kyZQrDBYDHEwAAFt1JREFUhg3j\nvffeA6C6upo777yTyZMnk5qayp/+9CcAjh07xvnnn09aWhpjxozx7S8iIh1bbc1wWZ2e4YPZJQxQ\nr7AEACXDwKuvvsqll17KsGHDSEhIYOPGjb7ntm7dyuLFi9m5cyfPPfccu3fv5pNPPuHmm2/miSee\nAOCOO+7gBz/4AevXr+fll1/m5ptv9r1+x44drFy5sl5iCnD//fcTFxfH9u3b2bZtG7NnzwbgwQcf\nZMOGDWzbto13332Xbdu2+V6TmJjIpk2bWLhwoS9hPd3SpUu57rrrmDdvHsuXL6eysrLR/TIyMli3\nbh2PPvroGWNTVVXFJ598wu9+9ztfj/nTTz9NXFwc69evZ/369fz5z3/mwIEDvPDCC1xyySVs2bKF\nrVu3kpaWdsZji4hIx1BbM1ziTYattaRnFzMgUcmwdH0dqkzivv/7jB1HC1w95qjesSz68ugz7rN0\n6VLuuOMOAK699lqWLl3KxIkTAZg8eTK9evUCYPDgwcyZMweAsWPH8s477wCwcuVKduzY4TteQUEB\nRUVFgFOeEBER0eA9V65cWa8XOj7eWdHnX//6F0899RRVVVUcO3aMHTt2kJqaCsDVV18NwMSJE3nl\nlVcaHLOiooI33niDRx99lJiYGKZOncqKFSt8vdF1XXPNNQQFBTXYfrq675meng7A22+/zbZt23jp\npZcAyM/PZ8+ePUyePJlvfetbVFZWctVVVykZFhHpJII8hsToUA55l18+UVBOWWWNkmEJCB0qGfaH\nnJwcVq9ezfbt2zHGUF1djTGG3/zmNwCEhYX59vV4PL7HHo/HV29bU1PDRx99RHh4eIPjR0U1/0Ry\n4MABHnnkEdavX098fDw33nhjvanIat87KCioQa0vwIoVK8jLy2Ps2LEAlJSUEBER0Wgy3Nx2Nfae\n1lqeeOIJLrnkkgb7r127luXLl3PjjTfywx/+kBtuuKFZ7yMiIv6V1i+ezYdyAUjPLgZgQELkmV4i\n0iV0qGT4bD24beGll17i+uuv99W9AsycObNF9a5z5szhiSee4M477wRgy5YtZ+0Vvfjii3nyySf5\n3e9+B0Bubi4FBQVERUURFxfHiRMnePPNN5k1a1az27F06VL+8pe/cN111wFQXFzMwIEDKSkpafYx\nmuOSSy7hj3/8I7NnzyYkJITdu3fTp08fsrKy6Nu3L//1X/9FeXk5mzZtUjIsItJJTOjfjZU7T5Bb\nXMGx/FIA+nRreGdTpKsJ+JrhpUuXMm/evHrb5s+f36DG90wef/xxNmzYQGpqKqNGjWLx4sVnfc3P\nfvYzcnNzGTNmDOPGjeOdd95h3LhxjB8/nhEjRrBgwQKmT5/e7DaUlJTw1ltvcfnll/u2RUVFMWPG\nDP7v//6v2cdpjptvvplRo0YxYcIExowZwy233EJVVRVr1qzxfQ///Oc/faUnIiLS8U1Iccr1Nh/O\nJauwAoDEmLAzvUSkSzDW2nZ7s0mTJtkNGzbU27Zz505GjhzZbm0Q/9LPW0SkYyqtqGbMvSu4deYg\nqqotf1uXzuf3X6oFk6TTMsZstNaedU7bgO8ZFhEREWd6tVG9Ytl0MI/MonKSosOUCEtAUDIsIiIi\nAExI6cbWjDxOFpSTEB3q7+aItAslwyIiIgLAhP7xlFRUs/FgLonRqheWwKBkWERERIBTg+hKK6tJ\niFLPsAQGJcMiIiICQN/4CJK8M0hoJgkJFEqGRUREBABjDBNSugGoTEICRsAnw+np6YwZM6betnvv\nvZdHHnnkjK/bsGEDt99+OwBr1qxh3bp1LX7vAQMGkJWV1ehzW7ZswRjDW2+9VW/7F7/4xSaPFx0d\nDcDRo0f5yle+0uL2iIiI1JZKJGoAnQSIgE+Gz9WkSZN4/PHHgXNPhs9k6dKlzJgxo8HiH429z+lL\nM/fu3ZuXXnrJ1faIiEhgmDE0kSCPYXBStL+bItIulAyfxaxZs7j77ruZMmUKw4YN8y3TvGbNGubO\nnUt6ejqLFy/mf//3f0lLS+O9994jMzOT+fPnM3nyZCZPnswHH3wAQHZ2NnPmzGH06NHcfPPNNLXg\nibWWF198kSVLlvCf//yHsrIy33O1vb9r1qzhvPPO44orrmDUqFH1Xl+3t3vJkiVcffXVXHrppQwd\nOpS77rrLt9/bb7/NtGnTmDBhAtdccw1FRUUA3HPPPYwaNYrU1FR+/OMfuxRJERHpDEb3jmProjmM\n6RPn76aItItgfzegM6iqquKTTz7hjTfe4L777mPlypW+5wYMGMCtt95KdHS0L3FcsGABP/jBD5gx\nYwaHDh3ikksuYefOndx3333MmDGDX/ziFyxfvpynn3660fdbt24dAwcOZPDgwcyaNYvly5czf/78\nBvtt2rSJTz/9lIEDB56x/Vu2bGHz5s2EhYUxfPhwbrvtNiIiInjggQdYuXIlUVFRPPzwwzz66KN8\n97vfZdmyZezatQtjDHl5ea2InIiIdEbRYUoPJHB0rE/7m/fA8e3uHrPnWPjSQ00+3dTqOnW3X331\n1QBMnDiR9PT0s77lypUr2bFjh+9xQUEBRUVFrF27lldeeQWAyy+/nPj4+EZfv3TpUq699loArr32\nWp599tlGk+EpU6acNREGuPDCC4mLc67wR40axcGDB8nLy2PHjh1Mnz4dgIqKCqZNm0ZcXBzh4eF8\n+9vfZu7cucydO/esxxcRERHprDpWMuwHCQkJ5Obm1tuWk5NTL8kMC3NG1AYFBTWoz21MTU0NH330\nEeHh4S1uT3V1NS+//DKvvvoqDz74INZasrOzKSwsJCYmpt6+UVFRzTpmbfvh1PdgreXiiy9uUJMM\n8Mknn7Bq1Speeuklfv/737N69eoWfx8iIiIinUHHSobP0IPbVqKjo+nVqxerV69m9uzZ5OTk8NZb\nb3HHHXc0+xgxMTEUFBT4Hs+ZM4cnnniCO++8E3DKFNLS0jj//PN54YUX+NnPfsabb77ZIAkHWLVq\nFampqaxYscK37Zvf/CbLli3jhhtuaMV3Wt8XvvAFvvvd77J3716GDBlCcXExR44coXfv3pSUlHDZ\nZZcxffp0Bg0a5Np7ioiIiHQ0GkAHPPvss9x///2kpaUxe/ZsFi1axODBg5v9+i9/+cssW7bMN4Du\n8ccfZ8OGDaSmpjJq1CgWL14MwKJFi1i7di2jR4/mlVdeISUlpcGxli5dyrx58+ptmz9/fqM9uK2R\nlJTEkiVLuO6660hNTWXatGns2rWLwsJC5s6dS2pqKjNmzODRRx919X1FREREOhLT1IwGbWHSpEl2\nw4YN9bbt3LmTkSNHtlsbxL/08xYREZH2YIzZaK2ddLb91DMsIiIiIgFLybCIiIiIBCwlwyIiIiIS\nsDpEMtyedcviP/o5i4iISEfj92Q4PDyc7OxsJUpdXO18yecy97KIiIhIW/H7PMN9+/YlIyODzMxM\nfzdF2lh4eDh9+/b1dzNEREREfPyeDIeEhDRrSWEREREREbf5vUxCRERERMRflAyLiIiISMBSMiwi\nIiIiAatdl2M2xmQCB9vtDbuGRCDL343oIhRL9ymm7lI83aV4ukexdJ9i6q7G4tnfWpt0the2azIs\nLWeM2dCcdbXl7BRL9ymm7lI83aV4ukexdJ9i6q7WxFNlEiIiIiISsJQMi4iIiEjAUjLc8T3l7wZ0\nIYql+xRTdyme7lI83aNYuk8xddc5x1M1wyIiIiISsNQzLCIiIiIBS8mwiIiIiAQsJcN+ZowZ6e82\ndCXGmB8ZY+Z4/2/83Z7OzhgTV+f/iqcLFEf36PzpLp0/3aXzp7vaMoZKhv3IGPM48KYxZoCfm9Lp\nGWPmGGNWAHcDNwBYFcSfM2PMbGPMFuCPxpifgOLZWsaYK40xzwDj/N2WrkDnT/fo/OkunT/d1R7n\nzuC2OrA0ZIwxp/1CJAA5wMXGmGetteV+alqn5L1KDAF+AcwEfg2EApONMSFAlU5ALWeMiQZ+AtwP\nfAI8Y4yJtNb+zL8t63xqf+eNMRfgxLMSmGaMOWitzfVz8zoVnT/dpfNn29D50x3tfe5Uz3A7qXsi\nN8YEeTd/BPwBWAAM9VfbOqPaeFprK4BXrbXnWWvfAHKBa621lTqRt5wxxgNEA4eBzdbaw8DNwNd0\nS7plTkveDgCXAHcCU4FUvzWsE9L50106f7YNnT/d4Y9zp5LhdmCM+R7wijHm+8aY3tbaamNMKHAp\n8G/gHeBaY8zVxpizrqEd6OrE8wfGmF7W2vXe7SHW2neB/caYL/m3lZ2HMeY7xpj5ANbaGsACSTgn\nday1+4FlwC+9+6v27SxO+4z2tNamW2uPWWtXAyeAmcaYPn5uZqeg86e7dP50l86f7vLXuVPJcBsz\nxswDvgk8jlPv8hNjzETvFfkGa20WsAe4HXgQ0C/KGZwWz1Tgp8aY2jqiKmNMd+AgUO2nJnYaxpgY\nY8xinNukzxhjggGstSeAncD36+x+DzDFGDNaPUZn1shn9GfGmLQ6uzwPDMPp5aj7Ov3un0bnT3fp\n/OkenT/d589zp5LhtjcV+IO19h3gXpwu/4Xe5y4zxryHM2jh3zi3/Qr80chOpLF43gHOAAVrbQ4Q\nAVwAvttW0ghrbSHwrrW2J/A68GSdp+8D0owxlxljwrw9Hq/j1BjKmTX2Gb299klr7TZgPTDGO9Dm\nbu92/ZFsSOdPd+n86RKdP9uE386d+qC3kTpXKvuBrwNYaw/i/ELEG2Om4Vz9rLPWpllrbwB6Aqor\nasRZ4hlljLmyzu7P41yFh3tPQnKaOvF8zfvv94HrjDFDAay1RcD/A67F6Y37JXAecKy929pZtPAz\nuhSnlvCfQOJprw94On+6S+dPd+n86a6OcO5UMuwSc9r0PnWuVF4CSur8MI8Dq3B+MZ631t5d52Xz\nrLWb27ipnUIL47kGGFnnFyIc+Ae61efTVDyttcXGGI+19jjOYKS/1NnnH8CvcG49JwFf8t4CFMAY\nM8kYk1z7uLmfUeOMNn8M2A6kWmvvPO31AaeFsdT58yzO9bPp3abz52maiqfOn+fGGHORMWZi7eOO\ncO5UMtxKxpgJxpiVwC/NqVHOvisV722nV4DvGGOMtTYfiAIirLU1xpig2ltR1toyP3wLHco5xjMa\nCKvzC/GqtfbP1trK9m5/R3OmeJ5+C9Raew8w0BgzzRjT0xgz1Vq7C1hkrV1orT3Szs3vkIwxo40x\n64BFQLc628/2GQ33fkbLgDustZdbawO6p+gcY6nzZxNa8dnU+bMRZ4qnzp8tZ4wZb4x5E2dA4ZA6\n2/1+7lQyfI68vww/xemy/4e19gZrbbX3OU/ticUYEwm8DRwFnjLG9AbGA1UA1tpq3YpyL57gxLTd\nv4EOpjnx9CYT0UBcnZc+DHwArMXpIQroHssm3AEss9Z+2Vq7G5r9Ga0EsNZWWWtP+qfpHc65xlLn\nz8a1Kp6g8+dpmoynzp/N571ofQr4M/An4AW8JU3GmOCOcO5UMnyOvD+8UOB9a+1fwHfVE4wztQrG\nmPtxroB6AD/CmRbkBSAPeMgf7e6oFE93NTOev8S5LTXG+/hLwG3Ao8Bo60yzJF7eE3p3nPj93rtt\nnjGmLxDpffwA+oyelWLpLsXTXc2M5/3o/Nks3gust4DzrLX/xvkcXmCcuvQqAGPMvfjx82l00dJ8\nxpiZQJm19mPv4yjgZWAHTg3bCSAfeBFYCTwF/MJau7fOMSKttSXt3faOSPF0V2vjaYwZBRRaZ6J4\nodGYhgObgR8D1+EM4DgOlOKMen4GfUYbpVi6S/F0V2vjqfNnfafHs852A1wIfA2421qbY5x67N8B\nP7fW7quzb/t9Pq21+jrLFxCDU8eSA/wViK/z3AKcAR0zvY9vAf4G9K+zj8ff30NH+lI8O1w8g/z9\nPXS0r7PE9C4gHbjB+7gP8DFwYZ199BlVLBXPTvDlQjx1/mxGPHEGEtZ2wPbFmTmidyOv98vnU2US\nzVMBrAa+gVPLck3tE9baF4Br7KlbIiuB7nhrXLz1Rappq0/xdFdr46kawYaajCnOqPFwnBHiWGdg\nzLt45xDVZ7QBxdJdiqe7WhtPnT/razSe1ssbswyci4qv1H2hPz+fSoabYIy5wRgz0xjTzVpbjjNl\nykpgNzDJGDPMu5+xzgjIWhfj1BkVgW95xoCneLpL8XRfc2NqnTlEbwduMMakGWMWAhfhTBCvmKJY\nuk3xdJfi6a4W/D3yWGfgYTDOypHFdY/jz3iqZrgOby1LT5yi7RpgH840PndYZ9lPjDOp9jdxamEe\n8G7zADNw5r87hFMHs6v9v4OORfF0l+LpvnONqXf713CWCB4N/MRa+1k7N79DUSzdpXi6S/F0V2v+\nHnkT4v8Fiqy1P/fLN3Aa9Qx7GWOCrHNlEAMcsdZeiLPsZw7OQCMArLV7gI1Ab2PMEG+RvQWO4Mwn\neKUSDcXTbYqn+1oR0yhjTIi19p/AT70xDeg/joqluxRPdyme7mrl36MI79M/7CiJMECwvxvgb8ZZ\niOB+IMgY8wYQi3flHWtttTHmDuCoMWZmbd2ltXaZMWYkzlQh0cBsa+0OnCujgKZ4ukvxdJ9LMb0A\n2GkD/NaaYukuxdNdiqe7unI8A7pn2DhTf2wE4oG9OD/kSpz576aAr4blXu9X7euuAX4KvIOzJOCO\ndm14B6V4ukvxdJ+LMd3Zrg3vgBRLdyme7lI83dXV4xnQNcPGmPOAAdba57yP/4Cz5nUpcJu1dqK3\n3jIZeByn1vKA93VYa9/zU9M7JMXTXYqn+xRT9yiW7lI83aV4uqurxzOge4ZxrnL+5e36B2cZxRRr\n7RKc2wC3ea90+gJV1traEaTvdfQfrJ8onu5SPN2nmLpHsXSX4ukuxdNdXTqeAZ0MW2tLrLXl9tQ8\ngRcDmd7/3wSMNMa8DizFWYlGzkDxdJfi6T7F1D2KpbsUT3cpnu7q6vEM+AF04CsKtzhrYr/m3VwI\n/ARn3fED1plsW5pB8XSX4uk+xdQ9iqW7FE93KZ7u6qrxDOie4TpqcFaUyQJSvVc3PwdqrLXvd8Yf\nrJ8pnu5SPN2nmLpHsXSX4ukuxdNdXTKeAT2Ari5jzBeAdd6vv1lrn/Zzkzo1xdNdiqf7FFP3KJbu\nUjzdpXi6qyvGU8mwlzGmL3A98Kh1lhOUVlA83aV4uk8xdY9i6S7F012Kp7u6YjyVDIuIiIhIwFLN\nsIiIiIgELCXDIiIiIhKwlAyLiIiISMBSMiwiIiIiAUvJsIiIiIgELCXDIiJ+YIypNsZsMcZ8ZozZ\naoz5kTHmjOdkY8wAY8yC9mqjiEggUDIsIuIfpdbaNGvtaOBi4EvAorO8ZgCgZFhExEWaZ1hExA+M\nMUXW2ug6jwcB64FEoD/wHBDlffp71tp1xpiPgJHAAeAZ4HHgIWAWEAY8aa39U7t9EyIiXYCSYRER\nPzg9GfZuywOGA4VAjbW2zBgzFFhqrZ1kjJkF/NhaO9e7/38DydbaB4wxYcAHwDXW2gPt+s2IiHRi\nwf5ugIiINBAC/N4YkwZUA8Oa2G8OkGqM+Yr3cRwwFKfnWEREmkHJsIhIB+Atk6gGTuLUDp8AxuGM\n7Shr6mXAbdbaFe3SSBGRLkgD6ERE/MwYkwQsBn5vndq1OOCYtbYGuB4I8u5aCMTUeekKYKExJsR7\nnGHGmChERKTZ1DMsIuIfEcaYLTglEVU4A+Ye9T73B+BlY8wNwFtAsXf7NqDaGLMVWAI8hjPDxCZj\njAEygava6xsQEekKNIBORERERAKWyiREREREJGApGRYRERGRgKVkWEREREQClpJhEREREQlYSoZF\nREREJGApGRYRERGRgKVkWEREREQClpJhEREREQlY/x/Rar9Q6ILg5QAAAABJRU5ErkJggg==\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "american['Adj. Close'].plot(label='American Airlines',figsize=(12,8))\n", + "united['Adj. Close'].plot(label='United Airlines')\n", + "plt.legend()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Spread and Correlation" + ] + }, + { + "cell_type": "code", + "execution_count": 126, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 1. , 0.92145101],\n", + " [ 0.92145101, 1. ]])" + ] + }, + "execution_count": 126, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.corrcoef(american['Adj. Close'],united['Adj. Close'])" + ] + }, + { + "cell_type": "code", + "execution_count": 117, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 117, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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6Jj0xz+0Zd+Par+/CD3efy+oxEBHlCoNlIloQQmFmKlPhy3IZBgBc21aDpvIS3H1VK6os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LQt82zLPNsxy7bMs71Jy9TG8hxExErgWmBHlukadZrMsj0zbcs82zLPdsyyLfNsb9Iy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\nkiSpw38A1u4scbGaVKUAAAAASUVORK5CYII=\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "spread = american['Adj. Close'] - united['Adj. Close']\n", + "spread.plot(label='Spread',figsize=(12,8))\n", + "plt.axhline(spread.mean(),c='r')\n", + "plt.legend()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Normalizing with a z-score" + ] + }, + { + "cell_type": "code", + "execution_count": 119, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "def zscore(stocks):\n", + " return (stocks - stocks.mean()) / np.std(stocks)" + ] + }, + { + "cell_type": "code", + "execution_count": 127, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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HQl6rcSTyYZo6iKKIDw43YsH4LOi1GuRajAiERLxZVoefXjYdF0zLw96qtkGt\nO6lqdWNchgn6Tvu+FGaY8KebFuGb50mdxw7VSj8DW+RnMjHHgmaHb8jt57MtBuXroTTw0Gk1CIbF\nEd/mgUY3tTI0TwO4TKVjUZLYcbIFoggsn5oDAMhNNSIYFpUL13DZfrIFbe4Arpgr1dinmqQMDU+O\nNFJanH5kWwzQRgKaEGcbVXOozo7ZxRnKnhaJKM0kZeaG+1w3msjZAHmPIepQVm3DKasL1ywsAQCU\nZpsBAL+4ahbWr5yKheOzcKLJian//Q5e+qKqv0OhqtWN8ZHnd1eQbkR+mhFbjknlZ/L6mQk5ZoRF\nwDHESofOmenubZv7Y9ByIojUp0pAI4riVgCDy4fSqPFZhRWpRh3mlmQCAHJTpdma4S4727i/DmlG\nHS6clgcASDXqEAiJ8LH8g0aI0xdEmkkPnXJh5ntPDf5gGMcbHQm7/4wszSRlaFjqOnjymqMTTQ6W\n6nXz+t5aGHUafHlOIQDg0lkF2PXfF+OW8yYCABaMz4Q8XyevhelLdaunz4BGEATcdO4EbD7WjP3V\nNtjc0lrACTkWAIDdPfgAPRQWlZ+pRpAqNAZLF8keseyM1BSfLmfHjgErV3a97brrgPXrAbcbuPzy\nns9Zt076Y7UC11zT8/7vfQ+4/nqguhq46aae9995J3DlldJr33Zbz/v/53+A1auBsjLgjjt63v+r\nXwHnnQds3w7cdVfP+x99FJg/H/jwQ+D++3ve/+c/A9OnA//6F/C//9vz/ueeA0pLgZdeAv74x573\nv/oqkJsLPP209Ke7TZsAsxl44gng5Zd73r9li/T3ww8DGzd2vS8lBXjnHenrX/4S+Oijrvfn5ACv\nvSZ9/f/+H7BjBwDg2mobbtJroT/5HPD888hNNeLnH/4F+Vt+BUQu+ACAadOAv/xF+vo73wGOH+96\n/Pnzpf8/ALjxRqCmpuv9y5YBDz4IAAh9/eu4bm8FbrMYYPpEum35tIX4bfbFcHiDMF11BeDxdH3+\nFVcAP/6x9HX39x3A914SvvcUJSXA889LX99xh/R/2JmK7z1cfTXQIu3h8IsaG1L0WoirVgFpK6WZ\nyi9/me+97ob43gv4gniu1o6p76UBDxkS9r231BvAIw4DnN9eKt0wgu89xcUXA3ffLX2dBO+9660u\nXNQuraMJbP4VDPfdm1DvvR5G6L0X/MUv8NWnX8fNKXqkffYQAEDIyUF+p/feedu2Y0OtHb5ACFkW\nA6pfmoAsQMCGAAAgAElEQVQjv3kCl84q7PLeC4ki/u90K9LmzgKu/qf0/G7vve+FRWQHsvHI9Dxc\nPmccHvnXw1j2ngeXtbiQ/UkGYNQN6r3nuPO/IIrAGxvvRzqC0O74bcf9A7z35ixcBRgWwe9wIuXq\nr/b8vxtj570eEvS8ByBu19zBGLGmAIIgfEcQhN2CIOwOBJimT3a+YBjeQAgZKR2BS25khiYwjLMu\nrS4/QmEROZ1qdw066W3MenYaKaEwoNEI0AgsnVCTyy91XLIYtXEeSf+0kZ/7UEt0xrJgSFTKCF2+\nUJxHkzhON7sQDIX7bXus1QhYUJqJDLMB/mAY+6ttuO25Pbhrw8Eu5x5fpOtYb3u/yHQaAbOLM7Dl\nWDM2H5WyPUa99Ps2lPOYXK5WmGHC5FzLoJ8nfz8AuBcNqUpQa92BIAgTAWwURXH2QI9dvHixuHv3\nblVel+Jj08F6rH9hLzb+4HylG1GL04dF93+Ie6+ciXXLJw3L6z6zvRL3vHUYX/z3amUR4odHGvHt\nZ3fjrduXK+VvRMNp/n3v46p5RVhxVh7+/dndXX4PKHp3v3EIG/bV4sA9lwxqz414OdPiwoW/3YKH\nr52HaxaVxHs4SeGmv+1EuzeIE40OXLe4FPdeNSveQ4pKRZMDJVlmmPTqBN3feXY39lXbsONnq5RS\nrL787LUD2LCvFr5gGGePS0d5fTvOHpeOJ25YiEm5FnxwpBH//uxuvPH95Zhf2ve10OUL4oLfbEaL\nyw+tRsC7P1yBLz2yFX9YuwBXzisa1LjLqm342uPb8NS6xVg1o2BI3/MLO8/gvzccws67LlY2Jybq\niyAIe0RRXDzQ49i2maJS0+YG0LF4EQAyzQZohI49OoZDvd0LvVbokqFJjSzQ5V40NFLcvhDMBp3S\n5SzAmUZVHK6zY2ZRekIHM4C0bg8AnMwKD1q7J4Assx4zCtOSttOZwxvA5Y99hpe+qFbleK0uPzYf\na8LX5hcNGMwAUjZEXiv600un46l1i1Fv92Dd33chHBZR3Rq5Lmel9Hsci1GH7144BQCQmaJHhlmq\ntLANocmF3BAjI8UwwCN70muk75XnTVKTWm2bXwSwA8B0QRBqBEH4lhrHpcRV2+ZBmlHXpeRMqxFQ\nlJkS1Y7Dg9Vg96Ag3dTlA08aAxoaQf5gGP5QGBaDtqPLGUvOYhYKizhS345ZCbyhpkyeRGFTgMGz\newJIN+kxsygd5XXtSdmVsqbNA38orAQOsdp4oA6BkIivLxxclq9zK/NJuRasmlGAX1w1C2da3Nh2\n0oomhw8GraZLO+W+3HjuBOSmGpFp1ivXcbt78JORckOBTLN+gEf2pDRTYVMAUpEqTQFEUVyrxnEo\nedTaPCjuZRZoRmEajjU4hu116+3eHvtTpBm5JwSNHI+yzkPHfWhUVNPmhjcgldIkOqNOC4NOwzU0\nQ9DuDSI9RYdZRRl4/vMqqRtXTu/duIbi0Q+PY1pBGi6fM06FUfav3i41XmhWqZPna3trcfa49EG/\n5wszpGuuTiOgJHL9vXRWITLNevxzVzVMei1yUg2DanmeYtDi/76xAE5vEEadFmaDVlkXMxhyhiYz\nJZqAJtLljN0hSUUsOaOo1LR5UJzZW0CTjlNWF3zB4Vn02dDuVU7qsrRhnC3dVmHFf716QPXjUvJy\n+aX3mcXIDI2aGtulD4mJvKFmZ2lGHZzMCg+KKIpolzM0kQ/vR+rtqhz7me2V2LCvVpVjDaTWJnVp\na3bEHtBUNDmxv9qGqxcWD/o58u/G+GyzEhSY9Fp8eXYhtp5ohtXpG9IGl+dOzsHqmdL6l8wU/ZBK\nzuTgJyOKgEavlOryvEnqYUBDUekrQzO9MA2hsIiKJqfqrymKYq8ZGrn8Q/5ApKaXd1fjpd3VzP6Q\nwh0JaMwGXaeZRl6YYyV/SBzKB7J4kjf0pYG5/SEEwyIyUvSYXpgGrUbAYRU22AyFRdg8ATSpEGAM\nRr0tkqFR4fU27KuBRgCumj+4RfiAtIYGACZ26yo2MccChzeIyhaX0m10qDLMhiFlaGzuANKMukGt\n/emO+9DQcGBAQ0PW7g3A4Q32kaFJAwDVy85e3l2NSf9vE/zBMAq7dUXRazVYOikbf9l6Eu8dblD1\ndQ/USLOIjZH9E4jklrMWo1YpOQuxdCJmTQ7pdyw/LTkyNKlGHdftDZK8AWN6ih4mvRZT8iw4okJA\n0+4JQBSBphE6P9fZ1Cs5e+9wI5ZPzR3S+z3NqENhuqlHR8WiyLX4TItb2eB6qDJT9LB7BreGRhRF\nNDt9SjOBoZLX0AR43iQVMaChIattk07qvWVoJuVaYNBqVA9o3izrKCnorSTlqXXnINtixHuH1Ato\n7J4ATlulBgcN9pGZAaTE5+qUoenYT4EzjbFqdvig0whR1eTHQypLzgat3SP9P6VHNlyeOS5dlU5n\nrZGF6U0OH8IjkCWts0uBk80diKqsus7mUfZeqbd5cFZ+2pCeLwgC3vnhCnz/oildbi/K7LgmRpvh\nzDTrlXUxffn7ttO45o/bMffe9/Gv/XVRv5bc5YznTVITAxoaMiWg6SVDo9NqMCHHjDMt6nSBkZ1d\n2LFosqCXgMZi1KE4K0W1xZoAcLCmo8a7gRkainDLGRqDTplp5Bqa2DU7pPr/RG/ZLEsz6dkUYJA6\nWvxKAc2sogzU271odUkBiTcQimqTxbbI80NhES2u4dsuQFZn80B+e7YMcXuCFqcPFz28Ba/vrYXb\nH4TLH0Ju2tCzKVkWA4y6rnvgFHW6FkdbcpZp1vdbcna4zo5f/OsIXP4Q1iwsxgNrZuP3/7Ygqtfq\n6HLGDA2phwENDZk1EjTk97EhVmGGCfUqBwDeTrNhJb0EUgCQazGougfO/hqb8vWmg/VY/uuP8eTW\nU/AHeRIey5QMTaeSM66hiV2TY2gLmuMtzaSD08e1dYPR7pFLzqT1jjMjrbmP1LUjHBYx4+538cN/\nlg35uK2dgpjhLgsOhUU0tnsxNT8VwNDX0eyrssEXDKOyxQWrQxp3XpTBR3f5aSYlWxz1GpoUA2ye\nQJ/ttJ/YfBJpRh3++Z1zcd9XZ+OGpRO67EM3FHql5IznTVIPAxoaMlekbW2qofeu3+MyTGiItLdU\ni9sfQmG6CRt/cH6fgVRuqlEJttRwvNGBkqwUZKTo8fHRJtTaPHhgUzkue3QrNh9tUu11KLm4/R0Z\nGm2kdIIZmtg1O3yqfcAbCSw5G7wDNTYIApT1j507nW0/2QIAePtg/ZCP29Zp3xR5DdZwaWz3IhAS\nMa8kE8DQA5q9VW0ApAnBZqc0VrUCeK1GUP5voz1meooO/mBY2bizs2AojHcPN+DqRSVRdTXrTq80\nBeDkIKmHAQ0NmcvXMUPdm8KMFDQ5fKruAuwNhJBq0vVYDNlZbpoBrS7/oGqpRVHE63trlO+lN5VW\nFyblWpQLxezidPx93TkAgG8+/QU+P9UyxO+CRoPO739maNTT7PQhPz2JAhqT1BQgGTeIHEkefwj/\n2FWNi6bnK5NRWRYDijJMOFzXjhe/qALQ/waN5fXt+Nrj23pMJLW6OjJkw9HlsrOdp6Xz/ZcibY6H\nWt68r0rK+FudfjRHMjTRZlN6I5eAR3vMFL10PfcGeq4Nsjr9CIVFJTsVK11kIohtm0lNDGhoyFy+\nIAw6jTLL0l1hugmiqE5rS5nHH1JOuH3JTTUqbTwH8lmFFf/58n68Udb3/gWVLW5MyDEra3bmFGfi\nohn5+Odt5wKQMjg09sgZGrO+8z40nGmMRSgsosWZfBmaYFjsdUabJE9vO42zf/4urE4fblo2oct9\nM4vSsbeqDR8caQQgLbTv7cM0ADzwdjnKqm345tNf4HfvH0MoLOJwnR31dg8MWg0EYfhLzj49bkW2\nxYALpuUBGNrrhcKiUsIsZWgiZdsqlliOizQGiPZ3SL6+enr5GcjZr4I+qiOGSik5Y4aGVNR7zRBR\nP1z+IFKNfb915C5k9XZvl8WKsfAEQkgxDBzQANIFI9vS/2LLN8vqAAAnGp2os3mQk9p1oWWbyw+7\nJ4CJORZlzcycSHYox2KEIEDV9TqUPFz+IIw6DXRajZKh4UxjbFpcPoTF5NmDBgDSI/tfObxBmAaY\nbBmLQmERT356GtMKUvG1BcW48Ky8LvfPLMrAh+VSxuXrC4rx+r5a1No8mJLXNQvwRWUrPquw4ieX\nTsdpqwu//7gC7x5uwPFGaa+zogwT/KEw9lXZ8Ma+Wtg9AUzKtSiBhxpEUcSnFVYsn5oLk16LCTlm\nlA+hS9tpqwtufwhGnQZWhw/NDh8EAQNep4ZiRmE6tqValXVKQyW/hz3+ngGNnP0qUCmD2rF/FwMa\nUg8DGhoyly8ESx/lZkDH5l8NdvVmzDyB8IDtXHMi/fetDh+mFfTdDtMbCCntnQ/V2vGl332C21ed\nhe+t7GiFWdkitWuemGNROvTIAY1WIyDbbECLiut1KHm4fSFYIgF9R4aGAU0slEXSSRTQyBv6On3B\npBr3SPmovBG1Ng+euGEhLp8zrsf98joak16Dry8swev7alHd6u4R0OyvljIbNy6dgPQUHRZNyMI9\nbx1W7s+yGGDSa/HJ8WZ8crwZgJQ9O3jvJRAEdTrmHWt0oNnhw4qzcgEAi8ZnYesJK0RRHNRrVLdJ\nXT/nFGfgQI0dzQ4fss2GqDal7Mu3V0zC2iWlUX/PJqXkrGeQIWej1NojihNBNBxYcjYG7a+2Yf0L\ne6JekOf0BWHpoyEA0DlDo15jAI8/OGDJmZxqH6i2ecuxJjh80sagu8+0weUP9Sgfk9tOT8w1Y+X0\nPFw8Ix/TCzuCpJxUw5DbdtLo4PIHYY5kC+VacK6hiY3cOc7ST+Y30aQapQkWNgboac+ZVvz4lf0Y\nn21W1px0NyvS6WzZ5BxlbUZ1W89rRk2bB2kmHTLMegiCgLVLxuPAPZfgB6umAgAMOg3+dOMivL7+\nPHx054W46/IZcPqCqLWpd/357IQVAJSAZuGELFidPlS3Du415K0O5pVmwh8K41SzU/UgWK/VINMc\nfcZHroDoveRMyihFu2lndx1NAXjeJPUwoBmDvvbENmw62ICmKNe4uP3Bfj94ZKToYdJrcLLZhQ+P\nNOK+fx3B45sroh0ugKGVnA0UaLxZVofcVCOuP6dUua2q1Q27J4DjjQ5UNDmxP9KVpzTbjEUTsvG3\ndefAoOv4dcmxGNHiYoYm2VW3unGo1j7wAztx+0JKQK/Vcg2NGuS1E8lUuiVnqR1s3dzFJ8ebceNf\ndyHbYsA//n1pn2stS7JS8KWZBbhh6QTkpxlh0GlQ09pz/7KaNnePPc9Mei3OnZwDADjZJAUHC8dn\nYUpeKhaMzwIglROrZesJK6bmp2JchjSORROk19hT1Tqo59faPNBpBCUrdbTBkXBZPVPk+tbbOqam\ndi9yU42qZZSUfWh43iQVJc90GKlGbsrT1wLMgTh9oX5bNwqCgHEZKXhxVxVe3FUVuQ1Yu2R81DXD\nHn94wA87GSl66DQCrE4fKpoc2HKsGRpBwDeWjlee2+4N4KOjTfjGkvFdytKqW9247k87cKxTpmZC\njrnHBmaynFQDjtTFvtM1xdcvNx5BWbUNO++6uN9SjUqrCxajDnlpRilDY5QzNOxypgZfpMzF1Mfv\nWyKSM8a+Xkp0xqr3Dzfg+//Yi6n5aXj21iX9fmgXBAFP3rxY+XdJZgq2nrDi+mYnJncqO6tp86Ak\nq+d+JwsjgcuEHEuX26flS+f1440OXDQjP6bvB5Cuk7tOt2DtkvEdr1GQBotBi/3VdqxZUDLgMWrb\nPBiXaVIW1ds9AVU7nKlBnjDs7XNBY7tXtfUzAKBnlzMaBgxoxpBgKIwTTR2zVu5eFv8NhssXRHFm\n/7W0d14yDccbHFg2JRc6rYBr/7QDW48342sLiqN6TW8gpJT59EWjEZBtMeAvW0/hiS0nldvfPliP\n1753HgDgvUMN8AfD+Or8IqRFauD1WgFNDh+aHD5cvbAEF0zLRVgUMb0gvc/Xyk01otnpw4PvlOPK\nuUX9tpOmxHWkvh1NDh9OW11dPkR15g+G8eXHPoUnEMKc4gzU2z2YUSi9N+SAJsQLc0zkjXNN+uQp\nGuivRGes+tWmckzNT8M/v3PukPcr+e7KKbjnzcP40iNbce2iEvxw9VkoTDehps2jZGM6SzFo8dr3\nzkNpdtfsTYZZj/w0o9I0IFZ7zrTBGwgr5WaAtHauNNs86LK2WpsHxZkpyE3rmNDrXMKcCPrrctbY\n7lPWxqpBydCwyxmpiAHNGPLb94/hz5+cUv4d7YXY7QvC3M8aGgC4Ym4RMFf6OhwWkZtqwOZjTVEF\nNKIoSiVngyhHuXZxCY41OHHRjDysnJ6PZ3dU4s+fnIIvGIJRp8Vb++swPtuM+aWZCIvAzcsmwGLU\n4Y+RAOjqhcU4b2pu/y8CIMdigMMbxJ8/OYVQSGRAk4ScviBqIrXtO0+39hnQtHsD8ARCWHFWLryB\nENrcAZRkSR+itMzQqEJeiJxMJWcp/XSFGotqbR5Utrhx9xUzo9p88brFpbhoej4e31yBf+ysws7T\nrXhj/XI4fUHl9607ufSru2kFaTjRpE5b/U9PWKHXClg6qWtQVZBuGnTjm9o2D5ZPze2SlVl7zvh+\nnjHy+uty1uTwYV6pete4jpIznjdJPQxoxohAKIxXdtfgrPxUmPRaHKy1R52hcfr6b9vcnUYj4MJp\n+fiwvBH+YLjLWpTB8IfCCIXFAdfQAMBPLp3R5d9nRcoPGuxepBi02FZhxfqVUyEIArQCcN9XZ2PP\nmVb8cctJCAIwu2RwJ+2cThcmuYMNJZfOjSB2nW7tUlLSmSOy6PvrC4uxZkEJXL6ONr2CIECrEdjl\nLEZymYtxiOeGeFK6QgUZ0ADAjpPSxpPnTemZTRmsvDQj7r1qFvLTjfjNu8dQ3iCV9fYV0PRlWkEa\n/rHrDOyeQMw72396ohmLJmT1WDdamG7CkUG0bvYHw2h0eFGclYKsyKL9S2cVIKOfjUTjwdTHxpqB\nUBgtLp9qHc6AziVnzNCQepLn6kEx+eRYM1pdfvzsyzPw66vnAIhuZlEURbj9/bdt7s3lcwph9wSU\ntppD4fVHP3tbFEmTb6towZrHt0MQBHxtQVGXx5RG6rMn51qQbhrcRSanU7eXqn463TS1e/Hanpqh\nDptGwLEGKaCZW5KBLyr7XtzbHmnbnRbpamUx6pTMDCBlaTjTGBsloEmiDE1/M9pj0fYKaePJ6f20\nzB+siZF1MdsjQVJva2j68/WFxfAGwvjrp6cGfnA/rE4fDte1Y8VZPfe0Kcwwwer0DfihvN7ugShK\na4S0GgH77v4S/njDopjGNRw61tB0/X6ONzogisCkXEtvT4uKRiNAI7DLGamLAc0YsWFfLXIiuxzL\n5WKewNDbjfqCYQTD4oAlZ91dMC0PuakGvL536B/u5dK4wZScdTcu0h3n8c0VqLd78I9vL8XU/K4X\n3Lw0I8wGLeaVZg76uJ3bV9a0uiGKvZ+Yn//8DO58Zb+y0zIljmMNDpgNWiybkoPGdm+fP0M5Q5Pe\nx0yvTiOwy1mMfEF50iJ5Lkkpfcxoj1WH6uxYOD4TGk3se7+Mz5YCmK2RCbDSIQY0s4sz8JW54/Cn\nT07iJ6/sj3qtxq7T0kTH8l7KkAszTBBFoHmAbqFyy2Y5y5RlMajyf6Q2uctZ91L0fVXSPkByEwa1\n6LQaBHjeJBUlz9WDomb3BPBBeSOunFcEvVajXIijKTlz+aQPd0MpOQOkvvNXzC3CR+VNQ/4AIJ9g\nB2oK0Bt5T5xamwcTcy1Y2sviUkEQ8NdbFuPOS6YP+rg5FqMyJocvqGy+2d3JZmmDzlORvylxVDQ5\ncVZ+KnItRgRCIpy+3gN8hzeSoTH1/p5nhiZ23kAIggAYVNxocLjptdIsc28bEY5F/mB4yBNdfRmf\nIwUwZdU2lGSlRFWedd9Vs3DxjAK8sqcGp6zRnX+P1rdDqxEwo5cF/IWRjmUN7f1PVtVEGgcUD7Fs\nbqTptBrotUKPgGZvVRtyUw09mi/EyqDVMENDqkqeqwdFbdPBeviDYayJLMhXuvNEEdDIQVA0G+BN\nyU+FPxRWSngGSx5nNCVnJr1WaRXd20VJdt6U3B57HfSnOCsFV8wdh39fMRmAtI9Nb+QLKQOaxFPT\n5kZpthmZkQ9LNnfv78v2AQIaHdfQxMwbCMGk06q2s/tIEAQBKXotu5xFhESxSylmLNJNeuX3ciiZ\n885yUo349opJAIC6KDfZPNrgwMQcc6/XHrkFc+MAjQFq2zwQBCh72CQyk17bY8JxX5UNC8Znqf67\nqdMK7HJGqmJAMwZs2FuLKXkWzI0seDdHGdBsq7Bi/Qt7AQCWKLIl6ZEPhI4+ZsL7opScRfGaQEeW\npr82zEOl12rwf99YiMtmFwJArztGh8MiTlul1qHy35QYwmERdXYvijNTlIC31dX7hqxyyVlaH+ur\ntBoN91OIkTcQTqpyM1mKgQGNLBRSL6ABOsrO5pdEF9AAQFFkkqrO1jXoONrQDl8/zRwCoTDq7R4c\nb3T02V5ZbmNcP1BAY/MoG4cmupRuAY3N7cdpqwsLxkf/M+iLTqNBgBNBpKLE/w2jmFS3urGrshVf\nX1iizLDoI6ll9xAvxP/YVYWDkV3Vo8nQyGVq8gfEwZIDr2jW0AAdM2PTC3tvyxuL0shFt7cMTX27\nVylHYYYmsVhdPviDYanzkBzQuHsPaNq9QQgCkNbHe55raGLnDYSSqmWzzKjrOaM9VoVEEVoVZ/Hl\ngCbaDA0A5KcZodUIXTI0W48347JHP8U9bx7u83lPfXYaF/52C860uvucCMsy62HQadA4QMlZbZtn\nSNn/eDLptV0mOhvbpfVBE7LVawgg02sFBII8b5J62LZ5lNuwrxYA8NX5XTt7pXQ7cQ1EFEV8cbqj\nE1Q0AY08w+0cakATQ1MAACiKbAI6vVC9DI0s1ahDbqoRJ5t7ZmBOR4KYHIsh6hpuGh7yjG1RRkcr\nVVsfAY3DG0CqQdfnQl6uoYmdNxhOyoAmxcCARhYKi9Bq1QtopuanwqDTYHZx9OdtnVaDwnQT6uxS\nQGN1+vCfL++HRgBe2VOD2y6c0qV712MfnsCZVhesTj/8kQ/bfU2ECYKAcRkmZZ1kX2psbiwoVXdB\n/XDpXkIprw2NtfV1b3RanjdJXczQjGKiKGLDvlqcOzm7R9vLFIMWbv/gA4uqVjeaOnVzGWrbZqBz\nhmaIa2hiLDlbPjUXSyZmKzN+aptVlI7DdT33IzgVKTNbNSMfVa1u9txPIHLnoeKsFGSb5ZKzPtbQ\neIJ9rp8BpAsz19DExhsIJdUeNLKhTgyNZqGwuhmab6+YjH/dfn7MjQbGZZhQZ/NAFEX85JX9aPcG\n8OytS6HXCnjqs9PK45767DQe+fA4Xt9bi89PtkAfCc76mwi7ZGYBNh9rQk0fe5GFwiLqbd6Ebwgg\nMxm0XZpcyJM8mcOwZ45eo+E1kVSVfFcQGrSyahtOW134+oKSHveZDbohdTn7orKty78tUVxk0gZY\nQ/PQu0eVzdk68/pjC2gunVWIl7+7TNX67s5mF6fjRKOjx0zt/mo7Ms16LJ2cg1BY7LNxAI28Wpv0\nsyjKTEGaSQeNALT1uYYm0GfLZoAZGjUka8mZSa9hl7OIYFjdNTSpRl2f61eGoigzBXU2L/6+rRKb\njzXjf75yNs4/Kxcrp+XjvcMNCIdFvHuoAb98+wiWT5W6YPpDYfz8yll4/BsL+91/5ZvLJ0EA8Pdt\nlb3e3+TwIhgWk6fkTKcZ2QwN1x6SiuIS0AwlM0DR27CvFkadBl+eU9jjvu6L/way42QLMs16pbFA\nfzPWfZE3rextDU1Tuxd/3HIST2yp6HFfrCVnw21WUQaCYbHLzvOhsIjNx5qwcloeJudJF8TTXEeT\nMOpsXqQZdchI0UOjEZBlNvS5hsbhHSBDoxEQ4oU5Jr5gcjYFMLHLmSKsckCjlqLMFNTaPPj1O0ex\n+uwC3HTuBADAZbML0eTw4W+fncYP/7kP80oy8debz1EWwF80PQ9fmTtuwGNfOa8I/9xV1Wvr/s6Z\n4GTQvYRSCWiGIUOj02gQ5NpDUlFc1tA0tfe/ERWp47MKK1aclddrdyazQTvoDI384fzCaXm476rZ\n2H7SikyzYeAndiOXqfW2hmZvlZQB2nGyBXZPoMuMkDvGpgDDbXaRFOR9UdmGLLMBbZHOMK0uPy4+\nuwBTcqUabKkErSCOIx27RFHE157YDq8/hNnFGThYa1M6IAHSZnd9raFp9waUFq290Wo0zNDEyBcI\nKc0ZkkmKXjvgxopjRTAsQpeAAU1xpgmhsIjcdAN+c81cpTnORTPyodMIeGBTOSbkmPG3WxYjxaDF\nbRdMxruHGgadVfn3FZOxYV8tXth5ButXTu1yX22kGUFJkmRouk902j0BaAQgVaX9hTrTawV2hyRV\nxSWg8bNuckS0ufwYN6X3D2IpBm2PTIkoirj5qV248dwJuHRWR1anrLpN+XCeYdbjy3P6n7Xqi06r\nkTai7GUNzZ4zUkATDIt4YksFbl42UbmgyDOgiVpjX5qdgnSTDr/ceAS/3HhEuV2nEXDh9Dykm/RS\nYwBmaOLG5g5gf7UNk3It+OR4M6xOH66c19EoI8us77dt89T8vk+Vei27nMXKGwgn7O93f3rbt2Os\nCotin40z4mlmUTqMOg0euW6+0qIdkMqofnvtXNjdAVw5rwg5qdJmyZfNHofLZg/+GjezKB0rzsrF\n09sq8a3zJ8Go65h4q0myDE33jKPNHVCy2GrTaZmhIXXFJ6AJhhEOJ+bJb7QIh8UemY7OUvTaHpmy\nOrsXn56wYlyGqUtA82F5k/ThfFpezONKNep63ZF9z5k2LBifiQa7F3/+5BQ+Km/COz9cAb1Wg3ZP\nABaDNmHfL4Ig4PdrF6CiyYmMFD0yzQbU2z1IM+mUMrtJuRZ2OouDWpvUMrXZKb3Xf/Slabhy7jg0\nOygKYyIAACAASURBVHxd1sVkmQ0409L7GieHN6D8HHvDNTSx8waTcw0NN9bskKgZmkUTsnHw3kt7\n3QdmTS/rS6PxnQsm46a/7cKbZXW4bnGpcnutzYNsiyHmxgYjRWrb3BFk9PcZIlY6DTM0pK64TImJ\nABod/fdup9g4/UGExb4X85kNWrgDXQOLk01SV67umYSPyhtxzsRsVU5saSZdj8yQLxjCodp2nDMx\nG//6wfl46Oo5qGhy4tkdZwAA5fXtmFoQ++LQ4bRyej6+vWIyrl1cii/NLMDNyyZ2uVhOzrMwQzPC\nKpocWP7rj7HnTCuskbKgvFQjBEFAfrqpywfobItUKtidKIqDW0PDgCYm3kAIJl0SBjQGdjkDpAk0\nUQQ0Ku8mr5bh3tTy/Km5OHtcOp7//EyX22uSaA8aQArQfZ0zNJ4AMqIoLx8MvVaDIKt1SEVxy/FX\n9TEbSuqwu/tfzJdi0HWZiQGg7KVyulMmobrVjeONTlx8dr4q40o16Xt0OTvW4IA/FMb80kzkphpx\n3eJSXDgtD49+cBxNDi8O17VjbnGGKq8fL5PzUmF1+tA+xJbVFL0GuxTEVLd6lAxNXpqx18dmWwxo\ndXXsPSHzBEIIhsVe16HJmKGJnTeQnE0BjHoNvNwcECFRev8nYoZmJAiCgIXjM5UmALLaNndSBTQm\nfc8uZ8OWoeE+NKSy+AU0bGE7rAZqt2g2aOHp1m2uIpKhaXH5lYDow/JGAMDqs9VZzJ5u0vVYQ3Og\nxg4AmBMJWgRBwM+vnAlPIIT/eHEfnL6gcl+yklt/stPZyJG7Kdo9AWXhdl5q7wHNvNJMBMMi9lV1\nbU8ur6vpbx8GnUaTVBmaFqcP1Ql2/k3Wts0pei38wXBS/fyHg/z9J2pZ8EhINem6TNaJoiiVvCbJ\n+hlAej8Hw6KyP4zd7UfmMAU0eq2GJWekqrgFNIl2QR1t5ICmr5NRil4LdyAEUew4oZxsdkKuGJA3\nhfyovAlT81MxsZ9e/EORatT16HJ2qNaOLLMeJZ1O/FPyUnHr+ZPw+alWAMCckuQOaKZEWjfL/680\n/OTueHZPAM1OHwxaDdJTei8dWzYlB1qNgE9PWLvcLpcJTszp+/2v1QhJVTpx/9vl+NYzX8R7GApR\nFOELhmFM0oAGwJhvDCAHNGM1QwMAaUYd/MGwkuVtdfnhDYSTKkMj7/UmZ2mGM0Oj1ybXeZMSX1wC\nGr1Wg+puqVlS10D941MMWoiitP+D7GSzCwtKpR78p5pdcHgD2Hm6RbVyM6D3NTQHauyYXZyhtNOU\n/WDVVOSmGmHUaXBWfqpqY4iH8dkWaARmaEaSq1uGJi/N2OM9Jks36TG/NBOfVnQNaOQyzKn9vP90\nSVZyVtXqRqXVjXCCjFk+ByVjyZmJAQ2AjpKzRNyHZqSkGqXJElckS6O0bE6iDI0cvLyxr1ZpLNRf\ndjrW12po9w7qd+c/XyrDpoP1wzIOGj3icgUx6jTs+DTMbG45Q9P7gj6zPBPjD6GmzY2fvLIfzQ4f\nvjSzEFqNgFNWJ7YetyIQElUrNwOAVKNe6XImiiI+Od6M440OZcPOztJMevxh7QLcc+Us6LTJ92Gn\nM4NOg9JsM05G3vehsIgH3ynvUeJE6nH7OmYZrU4/clP7X9x6/tRcHKyxddmP5mSzE+kmXb/P1SZZ\nU4DGdi/8oTCszsTYP0X+QJOUTQH0XWe0xyo5OB7TAU1knZ18fauLBDRFSZShuXJeEVbNyMfP3zyM\nBzaV99tYKFaXzxkHhzeolLX3RRRFvLm/Dq/vrR2WcdDoEZdPiSa9FuX17T0W4JJ6BrOGBgDueesw\nLnp4C97cX4dvnT8J686biII0IxrsPnxU3ogssx4Lx2epNq40k9S2+YWdZ3DJI1txy1O7kGUx4Kvz\ni3t9/LIpOfjG0vGqvX48Tc7t6HS29Xgz/vzJKdz23B60JMgHy9FGztDY3B0Zmv6sOCsXYRHYfrJF\nue1kkwtT81P7zOwAybW4VRRFNEXWE9XYEiNL7g3IGZrkC2hMBmZoACjv/zEd0EQyNHIFgtUpTYzk\nD3DeSSQmvRZ/uWkRrltcgr99dhrA8AU0503JRVGGCS/vrun3cW5/CKGwiEO19mEZB40ecQlozAZp\nIeXxRkc8Xj6pfXbCil9tKh/wcTaPHwatps8yjtJsMwDg7YP1uGZRCbb8eCXuvmImUgxa5KQa0eLy\n4VCdHYsmZKt6kZJrdP97wyEYdBr87rp52PZfqzAtwdsyq2FSbioqrS6EwyKe+/wMssx6WJ0+PLO9\nstfHVzQ58cSWii7rnGjw5Ha67Z4ArM6BA5p5pZlIM+q6rKOpaHZiSl7/5Y7aJGkK8OA75fj1u0eV\niaS6hAloIhmaZCw5i7QDloOysYoZGiit3eUMjZzp7avsO1HptBo8dPVc3H7RVADDl2HSagRcMqsQ\nO0+19HqNO1xnRzAUVjqDNrR7leYuRL2Jy25PKXotAgD219gwO8m7V420h98/hrJqG360epoSHPSm\n3RNAhlnf58zyeVNycfDeS6DXanrMjOakSi1smx0+LJmUrer45QWSP75kGr5/0dR+Z75Hm8l5FngC\nIRypb8fmY024/aKpeHVPDertve/J9OKuKvzts9O4ZlEJ8tNMIzza5CdnaFrdfrQ4fcjto8OZTK/V\n4NwpOfj0RDNEUUS7N4hmhw9TBli/Ja2h6fmBtrrVjZKslIR5j797qAENnd5r3VvMxos3KAc0yZeh\n6b6IeqxSMjQJ8l6PBzlD4/RJH8Bt7gDMBi2MSVhKKQgCfnzpdHxj6XiMyxi+a8//Z++8A+Mo7/T/\nzMzubC/Srrqs5m7jggsuNJtiMCWhJqEkkALJ5fJLIeSOtEvuQkIukHKXhCSEJATIBQgJoYOxwcYY\nGzfcqyxbvUvb2+zO/P6Yol1t0a5Wu6uV3s9f9hZpJM3OvN/3eb7Pt65Uj2CYx5A3BFvU9fnFA534\nyjMH8Ns7l6OpbCSQ5UiXE+vnTlxPL2FqUZAtMVZFo0SvxsF2RyG+fdHS3OfBAel31jGcOiXO4Rs7\nncSkVSdcRNgMGnQ7Axj2cRO+kL5mURW2/9t6fOmy2ZNmoZcv5Avz5uO9EARgeX0JbEYWg97YgY4/\ne+sUbnx0h6JgynHahMyQe2jaBn3ghfSsHxfPtqNj2I/WQR92tYjWs4XV5pTvYWgKkVHxo62DXlzy\n8Dt4b1TIQCEZcAdjQkAmi0IT5Io3FEDpoZnmwzUjRKGBURtrORv2cTmLPM4X1dbcbsjI6k/0pl6/\nO4jvvXRUetwfM+bhiDTiYdPRnqTOBsL0pWB3kEW1VhzpdBXq2xclf98/4jUda46P0z/+i6ndyI7M\n7Zhg/y9DU4rdbbrRZBd3+ree7Acg7k6VGjRxPTTvnOjDh20OHGgTi9czJBltXMgKTUiKBm20j52U\nd9EsOwBge/MAXtjfCbuRxZomW8r3JEo56xj2QxCAc5NkgLA/FIE3atFtYBklhanQyJazYtzJlhUa\nuWdxukIKGjG2GYi1nFn1qYNIpjuyY0O+FgmCgO/88zB8oQhoChj0hOCKSkU9LPXRPP1BG3666eSk\nsmNzER4vfNhBesMLSMEKmkqz2KdBSI8IL+Af+zuwRIpVTqegGW8zny0q0SnZIEJC5lSYNTCwDA52\nOEBRQG2JHnYDqzSPAkAwHMGJHrHQl4e0nSEKzbjwjdo1j7YuJKPRbkCNVYdXDnbh7RN9uH5J9ZgJ\neyomPuVMHsg5MEk836MTzZbMsKJjkljO5MJTn8JCO1mZXW6CSaPCe6cnjxJXCEhs84hCI89Zc/g5\nlBiKW6HJNdVW0QEiq8UvH+rGm0d7cd+Vc1BqEN0LsuK1oMqsBAP0uQJwBcLj2pQ53OFU1PeJ5JFN\nJ/G1Zw/i9SMkXrpQFKygsejUcPnDY7+QAADY0TyAXlcQn7+kCXqWwfP7OrDxf7ZjeJRdScbh48bd\njGgzjBQxE63QTGcoikJjmQGCAFRbdGBVtNKvJHOi2x0zPZmiRmahEDIjuqDRqRlUmse2T1IUhYtn\n2/HB2SHwgoCPr5wx5ntUNB2n0AxLDcH9kyTBLrqgMWlVmFNhQuugb1IMtpPtJpU59OrnClZFY928\ncmw+3lsUwRC5gig04jWGpkYUmmFfKOnYBIJIqYGFRkWjy+EXrWYvHsHSGVbcc3ETSg0shrxBuCT1\nc+1MG7qcAQx6goqD5GhXZi4fp5/D9b96D594bFdWx93t9OP9MyObGO1DPjy+XUyF63NNjmv+dKRg\nBY1Zq4afixB5Lk2e39cBi06Ny+eXY0aJHke7XDje7cLTu1oTvt41QQpNuZkUNBOJbHuqk2x3NqMG\nfi4Cn7RLfUjagZIbMZfXlShRz4TMkAfcAaLyQqe52Fo/T2w6/d71CzCvMnX/DJB4Ds1kU2gGJRWQ\nosReouX1JUpABSCmVJ0t0GywbkcADE0VbfDFhgUVGPSGpvVMKfn8V03jgoaiKBg1I4OjHb7cDaWc\nKlAUhWqrDl2OAL77zyPwhiJ45NbFYGhKKmhGFJq1s0Tr74F2h9J3eizDguZ/Np9W/h0Mj7/v7fsv\nHcXtv/8Am4/14vsvHcVlP90KVlLy28fob3b6OJwmCb85oXAFjbTYdgWmt/c4HVwBDm8e7cFHllRD\no2JielD+vPNc3AyEcISHOxged0ETnQYVrdYQsqfJLtqe5IKm1CAWj/KCc9+5IZQaWNy8rBZ2owaX\nzClDp8MfszgnpIcvFFF+v41p2M1kNiyowOb7LsUn1zSk9XoVTSEU4WP83LJyOlmGV8rHcfsFdbh2\ncbWSXrj77BAAYNupfqx/ZCue2nku78fW7Qyg3KQp2t39dXPLoGYobDqWekDgVEYuaOhpFvQyGpNW\nHBzN84LUQ0MKmrGotmrx6uFuvHG0B/ddOQezysURDjaDRrKccWBoCsvrxWuW3IMKQNmQSZc3j/Yo\n/27Nor9R3r/63JN78dSuVtyyvBZv338pFlab0T5GO8Clj7yDK3/+7ri/NyE5BSxoRL+pa5o3U6bD\nq4e6EQzzuGV5LYCRxfBtF8zAgCcUZ0mSm+jGGwogLwJL9GqwquJLHprMyH0cdTbxbyhPoB/0hnC0\ny4mXDnbh2kVV+PLls7Hpa5dgkRRrfqgjfqjYoCdIFM4U+EJhRemaaU+/oKEoCrPGiGqOZnaFCaEw\nryQQAsCQT7yuDXhCONLpRHOfp6ANrPKO5nevW4D7rpyDCrMW9Ta9UtDIu4rfffGoMj8jX3Q7/TmN\nhs01Jq0aa2fa8ebRnknVpJxPFIWGmd4FjVGjgicQhjsYBi8AJSQUYEwoiOfMsjorPndRo/J4tEJj\n1qpg0anRYNPj7RN9AMQQhuMZFDR97gA6HX7csLQaQHa9qfLn/PZVdXjzq5fgoZsWo8qiw4wSPdpT\n9Ca2D/ngkO4NHrJJOeEUtIcGQEyCBSExbxzpQZPdgMW14uJ2w8IKXLOoEhsWVAKIjwzNdqCXXNAU\nqwVkMiNbmOQFs6yA9buD+PYLR1BqYHH/hrlgVTRKDSyW1ZWAooC954Zivo4gCNjw83fx5M5z+Tz8\nosIbjGB2uRFqhlLCNHLBlQsqwDI0Xjk00gwqKzTdTj9u+PUOXPGzbVj+4Gbc8+RepYjIJ/3uIEwa\nVUxM+wUNpdhzbgg8LygKIQB8mOc4/W5nAFU5Gt6XL65cUIHWQR9OT9MAjzBRaACIwQDeUFi5B5OU\ns7GRLb7/84nzYwJYSg0sHD4OQ74QTFpxLXNejUUJAlhUa0GvK5D2JsLBdnFT8MZl4sZwSxYWW5c/\njNVNpfjRjYtiNr9qS3ToGPYlPaanPxhpEeieJCmTU4mC9tAAJO4yHQa9QTTYDUoe/OomGx69Y7ky\nmdg7qqCRf6fjbUjUqhmYNCoSCJAD5laa8NKXLsSV8ysAjPQr/WZrMw60O/Dta+fHFKIWvRpzK0zY\n0xrrz+ciAga9oUnTdC7j9HFKEk0h4XkBfi6CepsBu791BS6bl7thbBadGpfMsePVQ93KxHS5h4aL\nCAjzAj5/SRMum1eOD9sc+OJf9ud9d27AE4zpjQOAlY2lGPZxONPvQV9Ur08+7Y2CIIgKTRqBDZOZ\nKxeIn+dNUZaW6QQvyD0001vRN0g9NPIufLHPockHn7mwAcf/6+q4cQ7y9ap9yKesdaIHsS+oMoOL\nCGmvIQ+0D4OhKaxqLEWlWZtV2I4rwClFVjQzSvUIcHzS+/L2UwPQSK6XyRKbP5UofA8NKWjGxBMI\nK1OIo9Gz4mP+UOwCxCH9Ts1ZXExnVxgxt9I07vcTkrO41qo0qMsKzf42B9Y02XDD0pq4169oKMH+\n1uGYxnN5MjkXnlwWl5t+swPX/fK9Qh+G8vsxaBiUGNicD3G9bnE1elwB7JMaw4d9Iagl+w1NAV++\nfDYeuXUJHr9rBQY8QTy27UxOj2c0g55QTG8cAKyS+mg+ODuEfndQUc3zWdA4fBwCHF/0Ck2FWYul\nM6xToo/mYLsj44CDsJTMOM3rGZg0KniCYSXlkMQ2jw1FUco8p2hkp8i5Aa+yAb4oqqCZVyW6HdLt\nUzzY7sS8ShO0agYzyw1Zhe2INrhEBY14HWsfii9WPMEwTvS48JElouWtyxGIew0hOwqu0JBQgLHx\nBCMwJCxoxIvA6HkbcpGYTUPiX+9djW9unDfu9xPSQ8cy0LMM1AyFH9xwXsKF98qGUuViKCPbDLlJ\nELsbzWQZAjoy2yT+c5MLrlhQAY2KxisHuyAIAoa8IWWQ6pwKk/L5XTrDikvmlOG1I/ndye/3BOMK\nmrpSPSrMGuw+O4R+j6gCA+L1Jl90OcUbf3UR99DIbFhYgUMdTnQ7i3vn9WvPHsA9T+6NC5tJBVFo\nROQeGlmhsZDY5nEjFzSuQHhEoam2KM/J14y+NJIkeV7AwXYHlkrW4wabAecGs7CcBTjlmKKpLRFV\npkTqy8F2B3gB2LioEgxNFf11YjJS+B4aMosmKZ9/ai/+tOMsPEEORk38DoZeeiyZ5Wy8KWeAOLV7\nrIGChIlh43lVeGDj/KSN6CsaxJ30vedGdk0VhWaSFTQyfIFncvikRXm+hjUaNSqsn1uO1470wB0M\nIxjmMbtC/HsuqY3t31lRX4Iz/Z682c4cvhBa+j2YM0pxpSgKKxtKxYLGFUCjFFSRT4VG3qUsxhk0\no5F7GjcXsUrTOuhFy4AXA54Qnt/Xkfb7wsocmlwdWXFg1asx5Auh1yWe13YjKWjGS3TCqmzvsujV\nqCvVo9ykgV2yxEcPpk5Gy4AX7mBY6aWsKdHB4eOUcQmZwPMCPMFwQgeMvImcyHm0r3UYFAUsry9F\nhUlDLGc5oGCXH62ahpqhSA9NCna1DOGDliEEOB5GTfyHJ6nlzJd9QUPIHz/92BJ8NirdZTQ1Vh2q\nLVrsiQoGkBWa0CQpaDzBMAajpP9IgdOe8q3QAMB1S6rQ7w7iDUl9WVxrAauilfkJMotqLRAE5K3X\naPvpAfCCGC88mlWNpehxBdDlDKDSooNGRee1oNl8rBd6lpkS9tZZ5UbYjZqEiYTFghyJW1eqx2Pv\ntqQ9eJVXCprpXdHMLDciFOax5Xgf7EYNCQXIgkqzVolyj1ZDPntRIz62YgbKJMU5nVlfcgLl+XJB\nI1lcO1MkkiXDEwpDEABzAoVGbg1ItFm1r3UYc8pNsOjU0uwdUtBMNAW7+lAUBbNWTSxnKfCHIoos\naUig0OjUiS1nTj8HA8tAPd23y6YQK6REKjk9xc+JF0wuUvgeGkEQcP5/bcL6R7YqjxV6arpc8CX6\n3OSKy+aVQ6dmlOS5JrsRu755ueKZllks+cAP52nhu+1UPyw6dZxSBIjBADLlJo1omclTQeMLhfHq\n4W5cu6gqr4VnLmkqM2SVnlRotp7sQ4NNj29dMx9tQz68nqY1UlFopnnK2dwKsTDffW4I86ZAkV5I\nLHo1vnL5bABAMGo8wV1rG/CZixph0amhoqm0gnEOtA/DqFGhqUxUzWtLxIKmYxxFhay+JOqh0akZ\n0FS8ys3zAva3DWNZfQkAKMNECRPLhKx4KYq6mqKokxRFNVMU9UC677Po1CQUIAnhCI9QhEendNIn\n8msyNAWtmo4raBw+jqgzU4yVDSXodQXRIe0o+UPiBZ7L8xyaCC/g+y8djVmMv3q4G1xEiIlgL3RB\nI89dSdR7liv0rAqXzy/HkU4XNCoacytNKE0QSGAzalBj1eHD9txPlhcEAdtO9ePi2faEgyvlHUMA\nKDNpoNcwOVFoepwB9Llib+B/2nEOnmBYma81FZhZZsDZIi5oWod8WFhtwYYFFWgqM+A3W88gwgvo\ncaZefEUUhWZ6FzRzKkyQP+5TQXUsNP+6fha+cdXchA4GmqZgM7JpKTQH251YXGtRzs9qSaEZSyV5\n+M0TeL95IOYxt3SfS7QmoygKRinpLprmfg/cgTCWSwVNTYkO3U5/Rn1qhLHJuqChKIoB8GsAGwEs\nAHAbRVEL0nmvSacmlrMk+KQTXU7wSLYw07OqOB+o08/BQqTuKYXSR9Mq2s7kHpown9+C5u/7O/DE\n++fwq3dOK4/9/t2WuNeFx1nQ9LuDMdOce5wBrPzh5ozVjHdO9MGoUWGBlISTL267oA4GlsH/3nZ+\nXAxpNJfMseO1wz340WvHc3o8x7pd6HcHsW5u4thqmhb7aABRoTGwqpyEAqx+aAsu+NEW5f9/39eB\nh988iWsWVeKCKJWo2GmyGzHkDeV9OOlE4Q9FoGcZ0DSFL1w6E8e6XVj6n5uw+qEtKRdfpKAR0bEM\n6qXPPSlosoehKfzr+llJ+0vtRk1cypk7wOGeJ/eifUgcFhzgIjje7YqZRVZu0kJFUyktZwEugl+/\ncwb3PLkXJ3vcyuOuMVJkE6nc+6SxC3JBs6bJBi4iYPvpgbj3E8bPRCg0FwBoFgShRRCEEIBnAHw0\nnTeatSoyWDMJvlGLimQFjU7NJLCchWDRTQ0LB0FkToUJJq0Ku8+KF0a5iA3l0XIWCvP4xVunAIw0\naQ54gjjY4YwrHMar0Dyzuw2ff2qfcgM50ulEvzuITcfSTwXjIjzeONqDKxdUxAySzAcXzrLj4Pc2\n4KqFlSlf9/2PLMSlc8rwwoedOT2ebafEnohLZtuTvkaOb64wa2HUqHLaQ+P0cdh8rBf/9vdDuHCW\nDT//+NKcR2rnk0YpKW6ypP1lik8qaADghqU1qDRr4ZbOB3m2UiLknrnpXtAAI4UMsZzlnjKTJi4U\nYG/rMN461ou3T/QBAI52uRDmBSXhDBDP0yqrNmVjvny+e0MRfO7JPcr/Uyk0gDhc1ROIL2hKDSwa\npOCVNTNtsOjUeP1Id6IvQRgnVLpTVpN+AYq6BcDVgiB8Tvr/JwGsEgThS8neYzKZhOXLl+N0nwe+\nqOQJwggBLqI0sgHAwmpLwg/QoQ4HtGoGcypMKR8jFD8netwIhiNYUmtFnzuIln4PzDp13lSIYV9I\nKTSsehbzKk0Y8ATR3OdBoz3WarO8vmRcPVytgz5x0KJFh3qbHj2ugDKHYEF1ej+nw8fhRI8LcytN\nKJnESmXroA997oCikEwU3mBY2QA51uVChBewqNaS9PURXsCwT5xTc6LHjXCEjxlgF02fO4hQOKLE\nk6bLrpZBAECVRYdeVwB6lsH8KvOUWwDL1+2ZZcaiHEy8++wQKi1a1Ekqw6A3hNO94md+UY0l6caa\nfB1YOsOa902EyUaXw49Ohx/L60tAT6FifTJypt8Dp5/DsroS5bEuhx9tQz5UmLVotBvQ7QygddCL\nZfUlYKPuSce6XBAALExyX/EGwzjc6USNVYduZwBGrQrzK80Y9KY+1492OUFTFOZL92VBAD6Uenii\n12Rn+j0Y9oawvL4U5DRJzbZt2/YJgrBirNflrWucoqh7KYraS1HUXo4TJTsVTSW0pjiIDS1uhzvZ\njZ+mKIz+FYYjwrSfBzAVMWlV8IciCEcEJVUon2Fig54QVAwNi06txEU7fBzUDK3MDJAZ73HJFrp+\nTxC8ICAk9Qh5gmFl1sWYx+kNgqGpSd9HRlMTH28t34R7XQFEeAHuYHjMeVQMTSkzahiKQoQX0O0M\nJIwEH/QE0Z9GTOpo5IVdt9MPjZrGvMqpV8wAYtw9RVGKJbSYEARxnkx0Y7/NwGKhNPuDS3Guyh/N\nqaS2jZdKi1Ycnkx+FzmHVdHgIkLs0GnJsSJbJL3BMFgVHVPMAIBGTSMUTv45lQN3SgwsmsoMcPk5\nHO50oF2yqSW7fjE0HXM8Tj+HUJiPmwNWamAR5gUSjDWBTIRCswbA9wVBuEr6/zcBQBCEh5K9Z8WK\nFcLevXvx49dP4A/vteDUgxuVC+Hj21vw4KvH8ds7l+Hq86qyOrZiZvfZIXzsdzuV/2//t/UJPfm3\nPbYLYZ7H376wFoDoH13+g8349IUN+OY18/N2vITcI58Tj39qBU71ufGTN05iSa0FL37pogn7HpuP\n9WJP6xC+uTH23PGHIlj+4Fv46NIahCM8tp8ewPsPXIaVP9yMi2fb8fOPL8X8/3gDAU5cBCc7X8fi\nnif34p0TfQjzAn552/l440gPXj0syvLP3Lsaq5tsKd8fCvNY8eBbuGJBBX72saUZf/988ut3mvHw\nmydx4gdXT9iu9htHevCFp/eh1MDimxvn4RvPH8Kz967GqjF+bzL/9vxB/G1fBwQB+NxFjfjOdbHt\nkNf9cjvaBn049P2r0j4mnhcw89uvQRDEdKHnPr9Gacqdiqx7+B2cV2PBr25fVuhDyQinn8OS/9yE\n71w7H5+7uEl5vKXfg8t+ug0///gS3Hh+4gCHZ/e04d//fhg7HrhMicQlEHLNrpZBfOKxXfjNHcuw\ncZG4Xrzmf7bjWLcLFWYNPvjWFbjkJ+9gQZUZv/3k8pj3/mzTSfzqnWacfHBjQjfB3/a24xvPH8K7\n31iPOpseT+1qxRM7zip20lMPbgSrin/fF/+yD6d6Pdh836UAgC88tQ97zg1h5zcvj3l9gItgz3Ku\n/gAAIABJREFU2Q/ewg3n1+BHNy6asN/JVISiqLwpNHsAzKYoqpGiKBbAJwC8lM4bzToVuIigLIIA\n4KWDXQAQpzpMN0Y3+huTSP0GDQNvVL/Nw2+eBMfzyoebMHVYXGsBy9DY0zqEgDKHZmI/KH/eeQ5P\n7DiH0RsdZ/o98IUiuGS2HXaTBoPeIA53OjHoDeHSuWWgKCpmIZOumjIal5/D0hlW1Fh1eHZPOzoc\nfqUvoTWNyc47mgfgCoRx3eLJf/7LvQr+UPq7+QEuknKYqhxhOuQN4fsvHYVJo1KiQtPBoFEpu+1v\nHO2JOw+GvRzcwXCcsiQIyZOwvNLchm9cNRdb7183pYsZAEU7Y0I+D3WjhtHKAw4HUyhz8ik53WOb\nCfllRX0JrHo13pKG2YYjPJr7PdCoaPS6guhxBtA25MN5NfG2spoSHXgBSa9bclKmTRqO+snV9fjJ\nLUuU5xMVM4AUCiD10Ax6gth8vBc3LauJe71WzWD9vHJsOtpT8FTQqULWBY0gCGEAXwLwJoDjAJ4T\nBOFoOu+VLSGy5CYIgjKUbLJOQM8Xoxc5SUMBWJVib+h0+PHUrlZ8cnV9TAMcYWqgVTNYVGvB3nPD\nyt98Ij8nPC/gQLsDwTAfZ5mRL+52kwZ2owZcRMBLB7tAUcAls8WBjTVRfRXjTTlz+jlY9Sw+vnIG\n3msewKket1LQpDNz55VD3TBpVbhoVvwQycmGQZq94s1gWvXS/9qE2x7blfT5AXcQFAV8ZEk1vKEI\nLpxlz6iXKXrjpGPYj6Ndrpjnh30hCAJiYkk9wTA2/s92rH5oC452xafRya8tNbBQTYPZWMU6Y8Kn\nDKONLWhMWhUYmkodCiBZRaeijZAweVExNC6bW47XjnTjE4/txKef2INQmMd6KdVRDpOZVR7fTyxv\nrCQLBhj0BKFTMzFrr2V1Y6+rjBq1EqzywoedCPMCbl0xI+FrN55XiQFPCHujhmYTxs+E3F0EQXhN\nEIQ5giDMFAThh+m+Tx5MJEc3n+7zKM9lsms5FfFG/fysik66G6BXM8qN6J8fdkIQgHui7AKEqcWK\nhhIc6nBg2Cd+ZtKd5J0OclY+EJ9oNCz9v9TAwi7tWL14oBOLaiywSd7g+VUjN43x7ji5A2GYdSrc\nsrwWFCXGUzfY5IIm9c8aDEew6VgPrlpYmfTzMpnQZajQnBvwIsDx2NuafH5NvyeIUj2LBzbOQ6mB\nxXVLMlOqom/eDE3hjajBigEuoiQqRsftbzragxNSWET7UPziQI4wTZYKNNWoturQ607cgzSZkf+2\nOnXs34mmKZTo2TEKGpJyRigMn7moERfOtIPnRRVxQZUZn1pTDwB49ZBoV55dER/7XDNqFs2pXjdu\n/e37yrysAU9IUWdkKIrCb+9chn+/el7S4zFqGHhCoor93N52LJ1hTRrQtH5uOVgVjTeOpp/iSUhO\nQe8wco63nOvdHFXQjI4inm74o3Ztk9nNAECvYeALRiAIAv6xvwMrG0rG1btAKA5W1pfid9talNSo\ndFSLdNkftVAe8oZikqwU+d3AKulNA54QbrugTnnNfVfOwawyI77x/CGEx3lcLj8Hs1aNaqsOl84p\nw9aT/Wi0i8cx1gLxvdMDcAfCuLYI7GbAyE54utc62Y6bqlgbcAdRZtKg2qrDvu9ckXGTtlzQlJs0\nmFVuxOtHunH/VXMBiAEQMtEFTbS9KtGgZLekwKe6jk0laqxaCJKVpZiuxbIqO1qhAcTP/WCKgiZM\nChpCgTivxoI/3L0y5jGeF2AzsPjg7BDUDKXMBopGUWiG/eB5Af/+90P4sM2BA+0ObFhYiQFPUNms\ni2as3m6jVrTt7mwZxKleDx66KXl/jEGjwiWzy/DmkR78x3ULSKhGlhR0G9Ms7djJlrPo+QfFmBIz\nkUQvclIWNCwDHxfB4U4nzvR7kzZtEqYGi6X43Q4paSU0gbvAH7aNxISP3o0dkpLDzFo1yqIu8pfO\nGbF2aVSMEpM8HoVGTuWSrah3rBJ32eS45rGKtw/bHGBoChfOTD5zZTKhS1LQ+EJhfPuFw+gYFgfD\nRXgBT+1qxePbxQGm2hQFTb8nqKTpjOfmaNSIx1RTosPV51XiTL8XzX1uOHwhtEvHA8QWNJ2OADTS\nMTn88YvekbkNkzt1bqKosYqLp2Lro5HPw0QFTakhtULDkzk0hEkETVNYO0u8DzTaDQmtrlo1A7tR\ng06HH/+3u025/8mf20FPCHZD5rH/Ro14nfvje2ehVdNj9nNetbACXc4ATva6U76OMDYFLWiUHhq/\neMOLvrETy5n489NU8v4ZANCzKkR4Ac/uaQfL0LiWhAFMaexGDVRRi4bx2Fqe2d2G5j5RXv/pppPK\n4/vbhpV+lWHf6IKGQ4leDToq4tesVcX1ajGMeGxy/HImyDv5snJ75YIKbPvGOpw/Q2xqlyOckzHs\nC8GqUxeF3QwQP7sA4Odie2h2NA/iLx+04aO/2oG3T/Ti2v/dju/+8wgWVJtxw9JquALhpAXjgCeY\n1fwTua+n2qrDhgXicNA3jvTgtt9/gH/9y37ldaMVmjkVJjA0FfO4jFzQmKeN5UwLADjV58loSOmH\nbcNw+goX4epXemji/06lRlaxnSZCVmhUpKAhTBIulgqaWeXxdjOZGqsWhzqc+O83TmBNkw2sika3\nFBIw6A3GWc7SwShd57ac6MM151WNuZEjD2JNZNclZEZhFRpdbA+NL2oRP90VGn8oDK2ahlmnVnZN\nEyHvpv3zw05cPr8cljFmThCKG5qmUGHWKv/nxljkj2bAE8QD/ziMK372LvacG8Yv327GXz5ohdPP\n4XSfB5fPE5spRycaDXmDyqwZi04NlqFx8eyyuJ0veUEzHoVG3tiIXvjW2wygaQoqmhqzeHP4uaI6\n/5NZzuTG+kFvCJ95Yi/cgTAevWMZ/nrPamUIcaLCQRAE9LuDSo/TeJDV4BqrDpUWLZbVWfH0rjYc\n73ahzx1UXje6oKmx6mDRqWNsaTJyD41x2hQ0opXlu/88gi88vS+t93iDYdz46Pu44Eeb4xIu84Wc\nlpnKcpYsEUpOvSOzVwiThYtmiwXN7ASBADI1JToc63YhyPF48MbzUGXRossZgCAIokKTwHI2FtHr\ntfXS/TQVlRbxft7tJAVNthTYchbbQ+MLhUFRorw93XtofKEIDKwKFp16TMsZICo6N55fk6/DIxQQ\n+QIIZN5DE70QvefiRqyfW4b/ePEoHn2nGQCwbm45GJpKoNCElIKGpin87ONLcN+GOXFfX45tHU9B\nIx9booGYaoYes6Bx+jhYJ/kwzWh06sQFzZFOF5rKDHj8Uyvwp0+vxOb7LsU1i6pAUZRi6XP44nfL\nPcEwAhyfnUIjXWuqpXPs6vMq0eOKX8TKfytBENDl8KPaqoNVp06i0IiPTRfLWfRMoR3NAymVDRk5\n3TMY5vGLzadzdmyp8KXooSnRs3D6Oax+aAvODcTHpxOFhjDZqLbq8OfPXIBPX9iQ9DVyMMC/rJuJ\nmWVGsaBx+HGs24UwL6CmJPOIedlyBiCtyHy7QQM1QynKEGH8FHTLjFXR0KkZpYfGF4pAr2agYxll\nyut0xReKQMcyuGtNQ8oFik6yB5To1Vg3d+zdAELxE13QhCI8BEFIu19Ctv/89s7luPq8SrgDHG75\nzU787t0WUBSwtM6KEr0aQ97YhemgN4T5lSNZ/tctrk749ZlsFJpRlrNo1Aw1ZvHm8IdQYdKmfM1k\nQlFoJAWD5wXsbxvGkU4nVjWV4ooFFXHvkRUoR4LCYUBS1cazqyjTYDNgVrkRKxtLAQBXL6zCj147\nEfOaaGuZyx+GNxRBtVULc5KCxhMQN6r0EzQ8tBj49IUN6HcH8cqhbrxzsg83LUvd23iwQ/TvL6qx\nYMvxXoTCPKx6Nb56RfymQa6QLWej59AAiLHenOhxoUGypsooCg0paAiTiOgez0RctbASfe4g/mXd\nTABiEbTrzCCe2HEOOjWD6xYlvs+lInoDutoy9v1Idl10F1nP3WSk4B4As04VZTkLQ69RQa9WFUx2\nnyz4QmHoWQafuagx5esM0s3nusXVRdM7QMiOKnPsRTLMC1Az6RY04mdNXqCYtGo8ftcK3PjoDpSb\ntDBqVCg1xPvlh70hlBjG3mFXKT0047GcSQVNgp18VkWPGYAw7OWSxmNORmQ1RN4Zf25vOx74x2EA\nwMLq+EFwAFIqNP2SJSwbhcaiVysTrgGgzqbHTctqYNGp8acd52DSqKBR00rxKc9wqLHqYNWrEzaO\nuwJhGDWqabXY/d71C8HzAvacG8Kmo71jFjQH2hyoK9Xjo0ur8eCrx9Ey4EWVWZvXgmYkFCB+WXDz\nslqUGlh86f8+xNkBX9zzYV4g6gyh6FjRUIoVDaXK/6stOvS4AnjxQBc+vnLGuCzM0QVNuhuN1RYd\nUWgmgIKvgM1adUwogJ5loGUZ+LniyvCfaMTfxdj1ZoPdAJNGhU9ckHhwE2HqUTlq1yeTiOSRPpWR\nC/WMUj1e+OKFePSOZQAQN3Miwgtw+DmUGsZeKDM0rbwnU+RFcqKbiJqhx5y54/RzsOrG3z+SbzQq\nWpy1Iy0kt5zoU547vy6xVUG21CXqVRnwiAVNNgpNIn72saX41jXzoWYolBjYGCVGTgSqStFD4w6E\nExapUx2aprBhQSW2nuobMxzgYIcDS2dYcbE0pFYQgC5nIGnPSi7whyJgVXTCpDKDRoXrFlfDbtTg\n7IAn7vmIIEyrgpUwNamyasELovMhlVUtFbJlOpMWgEqLlhQ0E0DhCxqdOiq2WVzE69VMzByW6Yhc\n3I3FzDIjDn1/AxZWW/JwVITJwOiCJpPo5pF+hthieUapXrGRlBpYDEUpAPJ0eFsaEZbyLu14FBqn\notDEF/JiD03yr8lFeHiCYViLKBSAoihpMG4EoTCP95sHcPuqOrzy/y7CiiTea1mhGU5QOEyEQpMM\nNUOjyW5EiV4Ni04Nl59D66AXP3r9OLRqGo02Q9IeGk+QmzYzaEZz3eIqBDg+plgdTa8rgG5nAEtm\nWDGnwohqi1axquxvSz5EdaJJ557TZDfgbIIemkiEKDSE4kcO9LhsXjmaypKno6XColdj09cuwU9u\nWZz2e6qsWvRIYQSE8VPwu4xFp0afW6xM/Zxos9KxDPrchYuvnAz4QhGUpLk4I8OYpheVoyxnmUQ3\nj8wESf7RLzGwaO7z4HN/3oMSPQu1ZGUsSaOgGemhyVxhdfnDYkx5AmVSzVApCzd5IV1MBQ0g9sD5\nQhHsPTcEbyiC9XPLcV5N8s0Jk1YFmgKcCSxnA54gaGqk6Jlovr5hDgQAf93dhmNdLtzw6x0AgCc/\nswoWudAJcOD52N16dyCc8nybyqxsKEWFWYOXD3bhI0sS+/EPtIv9M0tnWEFRFP5672poVAwuffgd\n7GsdxjV5iuKXe1hT0Wg3YMuJ3rjHI4KgBIIQCMXKgiozKs1afFHqqRkvmVqfq8xahCI8Br3jS1Yj\niBReodGO9NCICo1Y0Ez3lDN/KJyW5Yww/SgdVVhkVtBwoJIUDTINNnEwYMuAF++e7sczu9tAUcDM\nMkPS98hko9C4AhzMOnVC64qaoVNGVMtWp0QJaZMZPSuq0VtP9YNlaKydaUv5epqmRGtXAiWk3y1O\nts7VcMMNCytx1cJKmLVq9LmDKNGzeOGLF+ICKUDAomchCCNFc3OfGzc9ugPvnxmMSf6aTtA0hWsX\nVWPbyX7FiTCaA+0OqGhK6ZuqtxlQadFiSa0Vu1oGldcNeUP454edOTtWPxdOGAgQTYPdgAFPKO5n\nifCCMoOKQChWKsxa7PrW5TF9NfmgSlKG8mkxnYoUfMVs1o300PhDEVSYNdCpGQRGFTTHu12wGViU\nm4snxSgb0rWcEaYf9TYDblhaDYtOjT/vbAUXzqCHJo0G7bvXNuL6JdWosogX2QgvIBhOr6eLTpJy\n5guFcdkj2/DIrUuU+QCjcfq5pL0WrCp1bLNTmlCfK3UiV+ilzZutJ/uwsrEk5RBdGaueTWo5K8vD\n7t4VCyrACwJ+eMOimH4nuZh0+EPY2TKIrz93AFo1gzkVxqR/8+nA9Uuq8McdZ7HpaC9uWR4fDnCw\n3YH5Vea4om/jokr858vHcKLHhXmVZvx1dxsefvMk1sy0xcyimii8wciY5588ePc//nkEd66ux/L6\nElAUJRY0RKEhEMaF/Lk61uVKqdATUjMJFBo13JJNwRsKw8CqxJt8VGyzK8Dhlt+8jx++dryAR5pf\n5NhmAmE0DE3hF584X8m4z6SHxhVIXjTIsCpaKWbk75euWphssGb7kB89rgC+99KR5Mfm52DWJf4+\nY/XQDHuL1XLG4Ey/B6d6PVg3J73YdbH5PrHlzJ6D/pnRfGRJNX51+7K48AY5sOCh107gC0/vw6wK\nE1758kXY9LVL8YVLs7NwFDNLZ1hRW6LDK4e64p6L8AIOdTixVBqYGs0NS2vAMjSe29MBAGgdFHtX\nOobjU8YmAn8oosxGSsb6eWX4xMoZ2HSsF7f8difWP7IVhzocYkFDemgIhHExu9wIu1GD7c0DhT6U\noqbgBY1FpwYvAJ5QWLygsgx0akZJ/gGA5/d2wBuKYO+5/DVIFpoAF5m2Ng1CerCM+PHNtIcml/0M\nTBLLmXSoCWN9ZVyBcFLL2Fg9NLIFq5hSzgDR+nemX1yorpubemaCjN2oSZiIky+FJhlygfPG0R58\nYuUMPPf51TGF8XSFoihct7ga752OH7J5pt8DTzCMJQkKmhIDiysXVOCFDzsQCvNoHRQLmU5Hbmwp\nPqmHNRUaFYMf37wYe759BR65dQlah3zYfLyPFDQEQhZQFIVLZtvx3ul+ZaYTIXMKXtDIO7IuPycq\nNBoVdCyDYJhHhBfA8wKe3HkOFCXOPOhNMLV6qsHzAsK8AA2ZK0NIgVqqEjKJbXanodBkgypJbHNQ\n6n9JZJWSSWU5ExWaVD004kJxPHMDComswtZYdZhVnl6qzvl1VjT3eTAoxTQDgCAIGPCEYDcVrqBr\nshswp8KIH924CD++eTE0KrIhI3Pd4iqEeQFvHO2JeTw6ECARt66oxbCPw5bjvSMFzXBuBvClOyoA\nEGOcb1leC5tBg353gBQ0BEKWXDzHjmEfh38e6CRpZ+Ok4CtmeQHj8HEIcDx0akaRvQNcBNtO9+Pc\noA+fXisOmNzfOvVVGnknmgzKJKRCTh/LLLa5MApNMEVDv4wrVQ/NGAWN08+BpgBTkcUDyzvil84t\nSzutcI0UHPDB2SHlMZc/jFCEL6hCYzNqsOlrl+L2VXUFO4bJysJqMxrthjjb2YF2B0xaFZrsiQM3\nLp5dhkqzFk/ubEWPtJnX6ciN5cwbHFuhGU25SYM+V1BMOSMFDYEwbtbPLUe9TY/7njuIt47FJwkS\nxqbgK2bZYiIrLwYNo1xUfaEI/vz+OZSZNPj6hjlgVXRec/kLRVAaKipbigiERKilVKFMLWfmHCaB\nKT00o44pGDUo9+4/7cY/9nfEvdcV4JIqLGLKWfJdK4ePg1XPFt1wP/lat25OenYzAFhUY4GBZbDz\nzEgCVr8ndzNoCNlDURSuWVSJnWcG4Ykasnmw3YEltdak5y1DU7hleS12RqWd5UKh8Yci6HUFUVui\nz+h95WYN+txBhIlCQyBkhVXP4rUvXwwAON0XP7yWMDYFXzHLiyvZE65jVUrvyPFuF7ae7Mcdq+pg\n0Kgws8yYcKjXVCMYEfuHNKSHhpCC8fTQuAJcbhUaJrFCE60ibT3Zj//dcjrGKxwMRxDg+IRDNQFR\njUr1cw77QkpTejFh0bFgVTTWzko/BUzN0FjRUIoPzkYVNPJQTTLDYNKyvL4EvAA8vasVF/3322ju\nc+NEjxtLZqRONbp1xUgyWrlJg07HxBc08n21KY1o9mjKTRr0uQPgScoZgZA1Bo0KrIqGK0EsP2Fs\nCl/QSBYTOX/bwDKKj/exd1ugZijFwmDSqmJ2t6YqIcmeoyEKDSEF6gwLGkEQcm85kxY1/CgPcJCL\njWE/N+iL2XWWo9uTqUfpDNYstv4ZAPjcxY342+fXwJihVW5htRkt/V7lby8vSIlCM3mR41h//XYz\nOob9uPfJfYjwAlbUp555UW8zYHWT+Jq1M23oHPZPuMe+ZUDcEc68oNFiwBMCF+GJQkMgTABWnVqZ\nq0bIjIKvmOVQAFmh0bMq6FjxsN5rHsA1i6pQbhIz9w0sA29w6g/clAsa0kNDSIVKUkNCac6h8XMR\nRHgBphyGAiTroYkuRkxaFax6Nf7vgzblMXlQX7KUs7F6aBw+rigVGrtRkzDhaiyayowI8wLah3wI\nhXn87t0zmFdpQlNZesEChPxTbtKi3KSBW9qUaxnwYk2TDZemYTe878q5uHttA86rscAbiigbANnC\nRXh84rGd+NOOcwBG5mGkS7lZgwgvoN8dJAUNgTABWHRqZdg8ITMK3kErL67kHho9yyg7zwBw19oG\n5d8GjUpJepnKkFAAQjqkYznjeUHx58sT3HOp0Iz00IxWaEaOcVldCWaVG/Hn98+JUcMmjSKxp045\nS9FD4w+lnRI2FZB30lv6vdh+egCtgz786dMryaJyknNejQVvn+jD7avq4A6E8W9XzU2r7+uCxlJc\n0FiKLcfFZuETPS6sarJlfTyHOhzY1SKGS9RYdWmnnMmUS4pgtzOAKsv0GHpNIOQSUtCMn4KvmBma\ngkmjQrdT9AUbNIwSZbq41oLzo3YvjZrpYTmTF38ktpmQCiW2mU9c0Lx2uBvLH3wLXZLnvs8l9lnY\nDLmzJaWTcra6yYbbLqhDmBfwt33tAKBcwJMN1lQxFLgUSWkOH5dU3ZmKzLSLxduhDgf+d8tprG4q\nzShYgFAYzqs2AwBuXV6LX952PmaUZtaEf36dOEx3f5tjQo5nR/OI7TNTuxkAlEnuiX5PsOgCOQiE\nyYhVTwqa8TIpVsxmnVrpodGpVagwa0BTwD0XN8VEmRo0KvhC08ByRhQaQhrIsc3J0r/ePtGHYR+H\nX2w+BQA43ecGgJwqGRRFgaGpuDk0obD4uX3hi2vx2YsaMavciFWNpXhmdzt4XoBLUo9SWc6S9dCE\nIzzcgTBK9MU1VDMbLHo17EYWj21vwaA3hAc2zk879plQOG5dMQNfWj8Li2sztxkCQKmBRZPdgH0T\nNL5gR/MA6kr1UNHUuK4LskIjCCPqLIFAGD9motCMm0mxYjbr1PBKhYqeZVBl0WHfd67E9UuqY15n\n0KjgDYWn/NAhpYeGhAIQUiDHNidb6O9vGwZFAc/v68DpXjdO9XqgZig02DLbFc4UhqaSKjRzK01K\noX77qjq0DfnwXvNAmpazxD+nfPG3FmEoQDY02Y0IcDyuXVSVdDAjYXIxo1SP+6+am5U1cFl9Cfa3\nDWd9H/SHIviwzYGrz6vEc19Ygy+tn5Xx14gOoaBJQU0gZM1oy9nP3zqFZ3a3pXgHQWZSrJjlqFYV\nTaFS8uGWGOJ3Ww0sA0HAlFdpSCgAIR2S9dAc6XTi52+dQku/F5+9sBF6VoWH3zyJ5j43muxGqHJc\nKKtoKj7lLEGRfvV5lSg1sPi/D9qiLGfJCxpeQJzyAwCOaVrQzKowQkVTuP+quYU+FEIeWV5fgiFv\nCOey7Cfd2zqEUITH2pk2LKsrgW0ckd9aNaOoqnJICYFAGD8WnRqeYBjhCI/2IR9++fZp/GN/Z6EP\nqygoeCgAMLKImVtpUmbQJMIgRZt6g2Hl31ORICloCGmQLLb5J2+exLun+gEAl8+vgFmnxs/eOgUD\ny2DdvPKcHxdDUQhHRlvOxFjX6GJKo2Jwy/Ja/OG9s9CzDFgVnfTzr1aNDBFl6NjXyBGX06mHBgC+\ncvls3HR+TcbJVITiZmWDGOH8QctgVn/7Hc2DUNEULmhMHRs9FuUmDZx+jig0BMIEIKd1ugJhPL2r\nFbwAdLsmfvbUVGRSrJjl1KXFtakHjMmzGgoRDPC3ve145VBXXr5XUOo30KjIYE1CcuQd0dHpX9qo\nQnjJDAs+e1Ej7EYNvKEI5pSbcn5cDEMhMiqoIBiOJAy5uO2COkR4AS8f6kpqNwNGlJ1E9jqnPwRA\nnLQ8nagwa7GiIbvFKKH4mFlmQJlJg11Rc5zGw/tnBnB+nTXjZLPRlJtFZYf00BAI2SPPU+txBvDM\nHjE0p9cZjBlETUjMpCho5Ez9RTWpfeAjCk3+LWd/eO8s/vz+ubx8L2WwJlFoCClQ09IiXzpf3jnR\nh83HeuHwcVhWZ8XbX78UelYFg0aFr1wu+uPnVuY+2liVoIcmFOYTns+NdgMunVMGmqLw1StmJ/2a\nihqVIOlMVmiKcQ4NgZApFEVhdZMNO1sGx91H4/RxONzpxNqZ9qyPR54TRyLDCYTskZ0GT+06B6ef\nwzWLKhGK8BjyhQp8ZJOfSeHbahsSp1wvkCItk2GQ4py9ofwrNJ5gOCZ6NpeQlDNCOtA0BRVNgYvw\neHZPGx74x2HMKjOCFwTMHTVk8fZV9Sg1aHD5/IqcH1eilLNgmE96Pv/6jmXgwnzCvjmZEXtd/AJu\nWCpoplPKGWF6s7qpFC8f7MK5Qd+YtrP3mwfw7ukBPLBxnvKYWAwBF86aiIJGVGhIQUMgZI9FJ97H\nnt/XgXmVJnxkSTVeO9yDHmcAdqMGrxzqwj/2d+KPd68s8JFOPibFivk/rluIhdVmzK9KbYeJ7qHJ\nN+5AGAOeYF6+F0k5I6SLmqHx2uFu/PvfD0NN0+hxBTDkDaF0VHHA0BSuXVwVM7Q2V6hoOmHKWTIL\npVGjSlnMACOJbn/ccRanet0xzzl9IVBUbgeGEgiTiTXSUM2dZ1LbztqHfPjC0/vw221nYu5f758Z\ngE7NTEg6XhkpaAiECUNWaLiIgLvXNqDKogMgDq8FgJcPduHtE30IcFM7HGs8TIoV80Wz7Xj1yxeP\n2TNiKFAPjSAI8ATDcAfCeTmJZCVIo54Ufx7CJEbNUDg36MNVCyvwr+tnwR0IY9jHobSuGKGLAAAg\nAElEQVSAakXiOTTJFZp0kN/72Lst+M4LR2Kec/jFoZpksB9hutBoN6B8jD6aUJjH//vrh8r98nCn\nU3nu/TODuKCxdEJcAOVm2XJG7lcEQrbIBY1Fp8ZHl9agyip+vuTh80c6XQCAIS+xoI2mqK5AxgL1\n0PhCEWWBNpiHk4goNIR0WVBtxq3La/Hr25dhRqlOeXy0QpNPVAktZ4lDAdIlWlnafW4Iu88OAQB4\nXsCec8OotuiSvZVAmHJQFIU1M1P30fzkjRM40O7Aj29eDAA40iEWNH2uAJr7PFg70zYhx6JYzsh+\nAoGQNVa9GgaWwe2r6qBjGdgNGqhoCt1O0X3R6RALm0EPKWhGU1QrZoNG6qHJs0LjDox8v8E82M5C\nYR40hZzPCyEUP8/cuwYP37oEKoZGpbRTCiSe45QvkvXQTFRBAwCPbm0GALx6uBvHu12495KmcX9t\nAqEYWd1kQ787iJYBb9xzm4724PH3zuKuNfX42IoZaLIbFIWmud8DAFhUkzpVNF1GemjI/YpAyBY1\nQ+Ot+y7F16+cA0Dsla0wa9HjDOBIlMo64M1PC0QxUVRXIDleMt+hAJ7gyNTWfPTRhCLZ2XMI05MK\ny0hBYzNkPiRvomBoCuG42Obszml11Pbvurll2HqyH0c6nfjjjrOYVW7ER5ZUj/trEwjFyOokfTTt\nQz7c/7eDWFRjwbeunQ8AWFhjURZDsm1aP0Gz3EYsZxPy5QiEaU+1VRezoV1t1eJ4tyvGNjpEFJo4\niuoSxNAUdGom7wqNK0qhGXDnx3JG7GaETKmIUWgKF2GcXKEZ/1yl6M/DVy6fDZNGhQdfPYYD7Q58\nZEk16Z8hTDsabHpUmrVxfTTfe+koBAH49e3LlM/c/CoTupwBeIJh+EPiZoMuxRDrTDBqVNCzDFFo\nCIQccfOyWpzoceOXb59GU5mYajhIFJo4iu4KZNCo4MlzD0205SwfMl8wHIFmgm42hOmDUaNS+swK\nqdAkmkMT5LLsoYl6b4PNgE+trceuliEIAnDlgtxHURMIkw1xHk2p9DkY+bwd7nRi46JK1Nn0ymNy\npLnLzykKjXYCQ2e+fe183LqidsK+HoFAGOHWFTMwt8IEmqLwuzuXQ6OiSQ9NAoou59SoyZ9CIwgC\nbvv9rpjH8qHQBIlCQxgnFWYNPP3hSafQZGujjO6hsejU+PSFjfjDe2dhM2gwrzJ13DuBMFVZM9OG\nfx7owpl+D2aVmxDgIuh3BzGjRB/zOjnS3BMMwy8VNBOl0ADAHavqJ+xrEQiEWBiawtOfWwV3gENT\nmRE2A4sBUtDEUXQFjZ5V5a2gaRnwYlfLkPJ/jYrOTw9Nlg3UhOlLpUWLXlcwK3tXtqhoGuHIaIUm\nO8tZdA8NTVOwGzX475sXQ6dmQFHEbkaYnkT30cwqN6FjWExAmlEaW9DIym306AEtS1wABEKxUGbS\nKDOfbEYNhojlLI6iWzUbtSq481TQbD/VH/P/eps+bwUNCQUgjIe5FWbMLEs9OTzXMDSFiDCxCk0i\nxfKjS2uwYWHluL8mgVDs1JXqUW3RKhtvHcM+AEBtSWyMebRCoxQ0Bdz0IBAI48dmZPMyQqTYKDqF\nxm5kcbLHPfYLJ4D3mgeUf1MUsHSGFa8f7kGAi0Cbwx6XbCNuCdOXBzbOi7N75RsVQyEUGpVylm0P\nDbFgEghxiH00Nmw71Q9BEBSFprZktEIjWlA9AdFyxtBUjOpJIBCKh1IDi9O9nkIfxqSj6FYJZUYN\n+t25V0m4CI9dLUNQSelJRlaF65dUwx0MY+vJ/jHenR1EoSGMF1ZFQ1dgKwlNJQgFCPPQZNGErCaf\nBwIhIaubbBj0hnC6z4OOYT/UDKXMhpExKgoNhwDHE6smgVDE2I0aDHqDSYfqTleKbpVQZtLAFeUD\nzhUH2h3wBMO4fH45AFGyX9Nkg83A4uVDXTn93mQODaGYUdEUIlFzaARBQCjCQ5OFyiLvJjMknplA\niGHNTLGP5vbff4DfbjuDGqsuLsZctpy5JYVmIhPOCARCfrEZWAQ4Hr5QfhN/JztFd1UrN4mzNnKt\n0mw/1Q+aAm5dPgMAYNKqoWJoXLOoCluO98YFEwx4grj5N++jfciX9fcmc2gIxQxDUzGhAFxEgCAg\nqyhyCuICTV6YEQgEkdoSHe7fMEfpm0m0yDGwUaEAodxapgkEQm6xGUUFlkQ3x1J0q2Y55aE/x835\n25sHsLjWivnVZgAjkv31S6oR4HhsPt4b8/qjXS7sax2Om9o8HkJZDiEkEAqJiomNbQ6GxQVWNkV6\nqYHFFfMr8NgnV2R9fATCVIKiKHzpstn4y+dWYUGVGXetbYh7DUNTMLCMGAoQJgUNgVDM2AziXCky\nXDOWotvuVAqaHCo0Tj+Hg+0O/Ov6WagwacDQlLIzvKK+BFUWLV4+2IWPLq1R3uPwiZXymf7sG7WC\n4QixnBGKFoamYwqaUFi0n2XTQ8PQFB6/ixQzBEIyDBoVXvvKxUmfN2pVYihAKDKhM2gIBEJ+sRml\ngoYoNDEU3ao5HwXNzjOD4AXg4tllUDE06kv1sEsSH01TuG5xFbad6ofTxynvcUj/PtPvzfr7k1AA\nQjGjGhXbHJQLGnJOEwgFw6hRKYM1SUFDIBQviuWMKDQxFN0Kw2ZgQVFAXw4Lmu2n+2FgGZxfZwUA\nPH7XCvz71fOU569fUg0uIuCNo93KY8OSQtMykL1CQ0IBCMXM6B4aWaEh5zSBUDhMWjVcATHlLBu1\nlEAgFJYRyxlRaKIpuquaiqFhM7A5VWjeax7A6iabMvuiqcyoKEMAsKjGgnqbHi8fHCloZIWmbdAH\nLhI7gyNTgiQUgFDEMFRsD82hTicAMsiPQCgkJq1KGaxJFBoCoXjRqhkYWIZYzkZRlKtmew5n0bQP\n+dA66MNFs+1JX0NRFDYsqMDOlkHw0sJN7qEJ80LWSWfZzuwgEAoJw4zMoTnW5cLXnj2ABVVmXJji\nM0UgEHKLUSP20AS4SMFnVREIhOywGTUYzHE4VrFRlKvmMpMGfe5ATr729tMDAICLx1h8lRhYRHhx\nvgYADPs4ZVZGNn00giCIKWdEoSEUKdFzaP66uw0qmsL/3bMKZq26wEdGIExfontoiFpKIBQ3pQaW\nWM5GUZSr5rkVJpzocedkuOb20/2osmgxs8yY8nVyrHKQExduDj+HBdUWAEBLFklnQdJvQChyGFpU\naAJcBC8d7MLV51XCqmcLfVgEwrQmJuWMKDQEQlFjN7LEcjaKolw1r26yIRTmcaDdMaFfN8ILeP/M\nIC6aZQdFpZ5ILk9aDkgzNhy+kJSGxqIlDYWG54WYlDSZD9vEn2lWeeqCikCYrKhoCjwvYMvxPjj9\nHG5eVlvoQyIQpj0mrRqekKjQEEszgVDc2AwaknI2iqK8qq1sLAVFAbtash9iGc3pPjecfg5rZ9nG\nfK0s2csq0bA3hBK9Gk12Y1pJZ8/ubcdF//02/KOmOm853guWoXHx7LJx/AQEQuFhaBphXsDz+9pR\nadbiwlmkd4ZAKDQmjQqCAHARgYQCEAhFTqmRxZA3BCFqRMJ0J6uChqKoWymKOkpRFE9RVN6m3ll0\naiysNk94QSMrJuUm7ZivlXe4AhyPCC/AFQjDomfRVGZIq4dmf+sw3MFwXLjBlhN9WD3TBoOm6Gae\nEggARIUmGOax7VQ/blpWA4ZOrXYSCITcIw+HBkAKGgKhyLEZWHARce1JEMlWoTkC4CYA707AsWTE\n6kYb9rc5suqjGfaG8J4UAgAAfulradO42MsKTTAcgdMvFkIlejWaygwY8oaU1LNknO4TVZyBKMnw\nTL8HZwe8uGJ+eWY/CIEwiaClAoYXgJuXE7sZgTAZqC3RK/9O5x5HIBAmL/Kwd5J0NkJWBY0gCMcF\nQTg5UQeTCRPRR/OnHWdx1592K4P/5OJIn0bDpHxDCHC8MlSzRM8qYQKpVBpBENAsFTTRTV1vH+8D\nAFw2jxQ0hOJFJRU059dZxwzXIBAI+WFmuUH5N1FoCITippQM14yjIL6mk4Mnse6JdTGPfWzhx/DF\nlV+Ej/Phmr9cE/eeu5fejbuX3o0B3wBuee4WhHkBPZoh3PmiHrUlOvzLin/Bx8/7ONqd7fjkC5+M\ne//X13wd18+9HicHTuLzr3wegKiSDKqCuOzJ/8b3130Xfm4eQlQLPv3Kj+N2sH50+Y+wdsZavN/+\nPr615VtwB8LoYZ34/Btm0BSFEPVxWPQr0eHbjR72m/jUS7HDOH933e8w1z4XL598GQ9tfxjNwjDA\nAl/ZYkT5bg2euvEpbD7eC0vpHtz54sNxx//8x56HXW/HEweewBMHnoh7/rU7XoNercejex7Fc0ef\ni3t+691bAQCPvP8IXjn1SsxzOrUOr9/xOgDgB9t+gC1nt8Q8b9Pb8PeP/R0A8M3N38TOjp0xz9ea\na/H0TU8DAL76xldxoOdAzPNzbHPw2PWPAQDufflenBo8FfP80sql+MXVvwAA3PmPO9Hh6oh5fk3t\nGjx0xUMAgJufuxmDvlir4eWNl+O7l34XALDxLxvh5/wxz1835zrcv/Z+AIg774DMz73RjOfci+Y7\nl3wHVzRdgQM9B/DVN74a9/zoc280v7j6F1hauRSbWzbjwXcfjHs++tz76c6fxj3/1I1PYYZlBp49\n8ix+s/c3cc9neu51OvzoYX04ETZg3RNacu6Rcy9v595oyLkXe+71sOLX+MEHJgzgTnLukXOPXPeK\n9NyzGVm4mVfx2Vd/qBQ3MlP53EvFmAUNRVGbAVQmeOrbgiC8mO43oijqXgD3AoCmRjPGq8dGRVMw\nsCq4AhwA3bi+RlBSZHipqcofEpUaOg3Pv/wSXhCU95foWYRoFhRFKfa1REQ/x0lzbFx+Dntbh7F6\noRmd8eFnBELRoFUxUDM0bMbsP+cEAmHiIW1tBEJxI1vO5DUkAaAmIiGBoqitAO4XBGFvOq9fsWKF\nsHdvWi9NyYOvHMOTu1px6HsbxuUJXvaDtzDkDWHr/evQYDfgD++dxQ9eOYaD39sAiy71EMDTvW5c\n+fN38cvbzkcwzOP+vx3Etm+sQ73NgMt/uhUzy4x47FOJcxIe396CB189DjVD4Y5V9fj+RxbixQOd\n+MozB/CPL67FsrqSjH8WAmEywfNCWhsDBAIhf1z447fR6fDjqc9eQJI0CYQiJhTmMec7r+O+K+fg\ny5fPLvTh5BSKovYJgjBm8FhRxjbLrMqij8YTDGNI8h76pOhkuYcmHX/xSA9NRAkAsOpE2a+pzIiW\ngeQ9NK8f6UGT3YDaEj0GpIauzcf7YDOwWFJrzfhnIRAmG6SYIRAmH9XWsRM8CQTC5IdV0TBrVco6\nlpB9bPONFEV1AFgD4FWKot6cmMNKjwsaxj+Ppn3Ip/xbtoD5QxEwNAU1M/ZiTKOSB2vycPg40NRI\nLObMMiNaB70IJ5ACj3Q6sa91GHeurofNIE565SI8tp3sw/p55STilkAgEAg54dI5oipDQgEIhOLH\nbtQom+KELEMBBEF4AcALE3QsGWPRq7GganzzaNqiChpZmfFzEejUDCgqjYJGuiEEuQiGfSFY9ayy\nK91UZgAXEdA+7Eej3RDzvid3noOeZXDz8lrsPjuElgEPjnQ64QqESboZgUAgEHLGF9fNwpqZNiyv\nLy30oRAIhCyxGdmYpNzpTlFbzgBglTSPJtPGqBiFJjRS0KTbi6OVBmsGwzwcfg5W/UjPzcwysYhp\n6ffEvGfYG8KLB7pw4/k1sOjUysnY7QwAQFzxQyAQCATCREHTFClmCIQpQqmBJZazKIq+oGmw6xGS\nbF+ZkMhyFghFoGPT+5WwDA2KGumhsUaFCDTZxdkbZ0f10Ty3tx3BMI9PrWkAANiMGgz5QuiRCho7\nSYUiEAgEAoFAIIyBzajBoJdYzmSKvqCx6sVGfKc/syq1bcinJJlFKzTpeospioJGRSMY5jHs5VCi\nH8kBt+rVoCjA6R8psiK8gKd2tWJVYynmVpoAAHYjC0EATve5QVOIyxInEAgEAoFAIBBGY5cUmgif\nfVrxVKD4CxqpKBnOUKFpG/JhboVYWPi5zAsaQEw6UxSaqIKGoihoVYxSKAHAOyf60DHsx11rG5TH\nKs1i4syhDidKDSwJBCAQCAQCgUAgjEmpgQUvQEnane4UfUEjKyOZWM54XkDHsB9zKkVrWHTKWSbz\nbLQqqaAZ1UMDiD02gfBIQfO3fe2oMGtw5YIK5bHaEj0A4ESPm9jNCAQCgUAgEAhpUSqtG0kfjUjR\nFzRyITGcQYXa7wkiGOYxu1xSaKLm0OjY9AsajZqGyx+GLxRByaiCRqdmEOBGggq6HAHMrzJDzYz8\nymtKdABEOxopaAgEAoFAIBAI6WDUiOtVb5QbaDozZQoaZwYKjRzZXG/Ti0rKeC1nKgY9roB0HLH9\nL7IdTWbYF4rpswEAi06tzK6xG0n/DIFAIBAIBAJhbLSqkQHvhClQ0Bg1KqhoKiOFRk44qyvVQ6dm\n4BtHKAAg2sp6lYImVqHRjCpoHL54WxowYjsjCg2BQCAQCAQCIR3keYikoBEp+oKGoihY9Wo4/Jkp\nNBQlWr50aiaqh4aHNiPL2YhCM1p9EZUf0XLGRXh4gmFYdfEqTK1kO7ObSEFDIBAIBAKBQBgbeR5i\ndHvDdKboCxpAtG5lkvLQNuRDpVkLjYqBlh0paAIZKjQaFQ1BSssbrb7oohQaObCgxBCv0NRYpYKG\nKDQEAoFAIBAIhDSQQ6yCYaLQAFOkoCnRsxmlnLUP+TCjVLR66VkGgVAEgiCMK7ZZpmxUQaJVM0rK\nmVxsje6zAaIUGtJDQyAQCAQCgUBIAy2xnMUwJQoaq16d0Rya9iE/6qSCRraccREBEV7IKOVMPpl0\nagZlptEFDa2kp8l2uNFJaAAwt9IEioJyPAQCgUAgEAgEQip0SkFDLGfAlCloWDjTtJwFuAh6XAHM\nkJrxtVJBI9vOMplDo1GJv756mx4UFTsUU5xRI55kw1JGeKIemotm2fHuN9ajqcyY9vclEAgEAoFA\nIExf5B4aP1FoAEyVgkaXvkLTMewHANTZRKuXTs3AH4ookl2mKWeAWNDEPccyiq9RtsMlSjmjKEqx\nvxEIBAKBQCAQCGNBYptjmRIFTYmBhZ+LpPVHbR8eiWwGAJ0UCiDbw3Rs+r8SlhFPpgabIe65aIXG\n4Q8px0kgEAgEAoFAIGQDTVNgGZpYziSmREFj0UnDNdOIbpZn0MiWMz0rKjT+cSg0crN/XSKFRk0r\nX3PYx0HNUDBk0J9DIBAIBAKBQCAkQxM1HH66M6UKGlcaBU3boA8aFa008WfTQyPPoJGHY0ajVTOI\n8AK4CA+HLwSLjo3rsyEQCAQCgUAgEMaDVs2Q2GaJKVHQmOWCJjB2QdMx7EdtiU4pLuR5MYOekPL/\ndGFo8WvUWLVxz+mi4vQcPi5hwhmBQCAQCAQCgTAeooe4T3dUhT6AicCs/f/t3XmcXHWZ7/Hv01XV\nXdXd6SUhG2STJbIZggkiKsPuiJe5jI5eFWfQmTsywlXRcRzngtu4zPXqXO8dR1FxRNEXCo6K+mJU\nFEVGQVSQJAqENWQjG0k66fRe1c/945zqrl6S9FJV59Spz/v16le6qk5V/aqfrvz6qef3e07wMg72\n5Y967MH+IXWWnA8ml0lpqOB677c3aMGcJp28qG3Kz/vJ15yhHz+yUydM0qGs9Ayu+3sHxzwnAAAA\nMBvBfm0qNFIdVmh6BgtqbhrN44rnnWlMNei2vzlH7dOopCxqz+rKc1ZMupSsKazQ9A0WtOm5Hi1s\nn1jFAQAAAGYimyGhKUpGQpOd+h6avsH8mM35Zy7r0ItWzNWtV71YzztmYreymSruxXlwyz7tOjig\n81bOL9tjAwAAoL4VTw6PpCw5y4VLzvqPvuSsZ6AwUpWRpDXL5+qbbz2n7GMq7qG5Y/0ONZh0wfNJ\naAAAAFAeTZkGdU/hb996kIgKTVM6pWymYUoVmt7BvFoaK5/HFffQ/HTjbr1wWafmtTZV/DkBAABQ\nH1hyNioRCY0ULDubynlogj00lT8fTGn75zOWdlT8+QAAAFA/grbNdDmTkpTQ5DJHbQqQLwxrMD+s\n5kwVKjTp0YRmaWeu4s8HAACA+pFNc2LNouQkNNn0Uds294ZBb6lChSbXOPqjnezEmwAAAMBMseRs\nVHISmilUaHoHgqA3V2EPTVNJheY4KjQAAAAoI06sOSoxCU17LnPUpgC9g0EFp7mxuntoSGgAAABQ\nTtlMSv35gtw96qFELjEJTVs2c9S2zb2DxQpNNRKa0R9t8Tw5AAAAQDlkMym5i8YASlJCk0vrYN/Q\nEbPUnoEg4Wlpqkbb5sonTQAAAKhPxb81n97TU/dVmuQkNNmM8sM+UoWZTDUrNJlUYn60AAAAiJni\naqBXfvoX+v76ZyMeTbQS81d3Wy5Y1nWkxgCjCU3lKzRF5xw/r2rPBQAAgPpQeoqQLXt7IxxJ9Kr3\nl32FFfepHOzLa3H75Mf0VLEpgCQ9+L6Lq7K8DQAAAPWldHtDvW91SEyFpjUbJA7d/UP63rrtk/bl\n7q3iHhpJmtfaVPe/YAAAACi/TMpGvj/aqUuSLjkJTZik/OaZfbr21nX61589MeGY4ok1q1WhAQAA\nACqhr+TD+6OduiTpEpfQbNvfJ0n68r3PaE/3wJhjegcKajCpKZ2Ylw0AAIA6dOnpi/X+y07Voras\nDpDQJENxydnOA/2SggYAN/z8Sbm7Trr+B/rnOx9Tz2BeLY1pmdmRHgoAAACItcZ0g/77y56nY+Y0\nHvVcjEmXnIQm7Fz2bFdQoXnpifN0y/1bdM/jezRUcH3m7ifVO1BQcxPLzQAAAJAMbdkMS86iHkC5\ntISJys6DQYXm+leeKkl6523rJElrlneqd6hQ1ZbNAAAAQCW15zIsOYt6AOWSTjUom2lQV28Q0Ocv\nmqMrzl42crmzuVG9A3kaAgAAACAx2rIZupxFPYByam0KzkXT0phSqsH0Py44UXPCZgED+cLIHhoA\nAAAgCdpyaR3sYw9NYswJGwPMCU+yOX9Ok37+nvO1dnmnBoaG1TdYUJYKDQAAABKiPZdR31BBg/nh\nqIcSmUQlNMV9NMWOZ1JwcsvWbFr9+YL6hgpq5kSXAAAASIi2XPBBfj0vO0tUQlM8F82c7NhlZdl0\nSv1DQUKTo0IDAACAhGgLVybVc6ezhCY0mTHXZzMN6g+XnJHQAAAAICnacsHfv/V8LpqEJjTjKjSZ\nsEIzWFCOJWcAAABIiPZwyVk9t25OVkITJjJt4xKapnTD6JIzEhoAAAAkRHHJ2V2P7NKB3vpMahKV\n0LQcdslZSocG8hp2seQMAAAAibGwPauWxpS+dv9mfeneTVEPJxKJSmiK55wp/lvUlElp2IPvqdAA\nAAAgKdqyGT3wvkt08qI5emjL/qiHE4lEJTQth91DM/oyqdAAAAAgSXKNKZ25rEPrt3ZpuPgpfh1J\nVEJz2C5n6dEkhgoNAAAAkmb10g4d7M9r096eqIdSdYlKaIqVmcm6nBVRoQEAAEDSrF7aKUlat6Ur\n4pFUX6ISmnmtTZKkY+Y0jbl+zJIzKjQAAABImBMXtKqlMaV1W0lopsXMPmlmG81sg5ndbmYd5RrY\nTKxd3qlbr3qxzlw6dhhNaSo0AAAASK5Ug2nVkg6t30ZCM10/kXS6u6+S9Lik/zn7Ic2cmenFx8+T\nmY25ngoNAAAAkm71sg49uuOg+ocKUzp+d3d/hUdUHbNKaNz9x+6eDy/eL2nJ7IdUfuyhAQAAQNKt\nXtqhoYLr4WcPHvXYJ3Z16+x/+qnu3rh7zPVf/M+ndefDOys1xIoo5x6av5L0wzI+XtlQoQEAAEDS\nFbddTGUfzQOb98tdumPDjpHrDg3k9Yk7N+q7D22v2BgrIX20A8zsLkmLJrnpenf/XnjM9ZLykm45\nwuNcJekqSVq2bNmMBjtTTbRtBgAAQMItaMtqcXt2SgnNH7YfkCTd/dhuFYZdqQbTLx7fo6GCayA/\nXOmhltVRExp3v/hIt5vZmyVdJukidz/smXzc/UZJN0rS2rVrq3rGH5acAQAAoB6sXtqhdVv3H/GY\nocKw/vDsQTWmGrSvZ1C/27JfZ62Yq5+Gy88G8lPbgxMXs+1y9gpJfy/pv7p7b3mGVH5N6eBlmo1+\nDwAAACTN6qUd2rqvT3sPDUx6+z2P79ELPnSn1m/t0mWrFkuSNmw7oMKwj+ynGRiqrQrNbP+6/4yk\nOZJ+YmbrzOzzZRhT2RUrNLlMakIHNAAAACApVof7aA7Xvvlrv9qs/jBhedlJx2hONq3Ne3u0fluX\n9vYMKtVgyVtydiTufmK5BlJJxaYA7J8BAABAkr1gSbtSDaZ1W7p04ckLx9y2r2dQP39st/74tIUq\nDEt/tHK+Vsxr0ea9vfrZo7uVajCdtaJT+3oGIxr9zMwqoakVIxUa9s8AAAAgwZob0zpxfqse2TGx\ndfN/bHhW+WHXtRet1KnHtkmSls1r1sPbD2jXwX6tWd6phW1Z7ThQW+enqYsNJZlUg1INRoUGAAAA\nibd0brO27e+bcP3tD23XyYvmjCQzkrRiXrO27OvVxp3duviUBWpKN9TdHpqakU03UKEBAABA4i3p\nzGnb/j6VNiB+5rke/W5Ll/70zOPGHLt8bouGw8MuPHmhmtKp+upyVkuymRQVGgAAACTeks6cDg3k\ndbAvP3Ldd9dtl5l0+epjxxy7fF7zyL8nzG8JKjQ11hSgbhKaJio0AAAAqAPHdeQkSVv3B2dVcXfd\n/tB2nXP8PC1uz405dsUxLZKkC09eIDNTU4aEJrbachm1ZTNRDwMAAACoqCWdQdVle1ewj+ahrV3a\nvLdXrxq33EySFrZl9c+vPUNXn3+CJKkpnVJh2JUv1E5SUxddziTp//y3M0hoAAAAkHjHdQZVmGJj\ngNt+s1XZTINecfqiSY9/zZolI98XT0I/kB9WOlUbtY+6SWhOO7Y96iEAAAAAFbM5ArAAABYUSURB\nVNfZnFFzY0rb9/dp54F+feehbXrDi5ZpzhQ+3C9NaFqaKj3S8qiNtAsAAADAlJiZjuvIacu+Xt10\n7yYNu/SWc4+f0n2bwiZatdTprG4qNAAAAEC9WLtirr79u2361VPP6U9WLdbSuc1Tut9IhaaGzkVD\nhQYAAABImGvOP0Hurp7Bgt4abvifiuxIhaZ2EhoqNAAAAEDCLJ3brHddslJ7ugd08qK2Kd9vdA8N\nS84AAAAAROia80+c9n2a0rVXoWHJGQAAAABJUlOGPTQAAAAAalRxydlTew7p6T2HIh7N1JDQAAAA\nAJA0uuTsg99/WO/+9/URj2ZqSGgAAAAASBqt0EjS7oMDEY5k6khoAAAAAEga3UMjSV29gxGOZOpI\naAAAAABIGl1yJkk9gwUN1kC3MxIaAAAAAJLGLjmTpAN9QxGNZOpIaAAAAABImpjQ1MKyMxIaAAAA\nAJKkdGpcQkOFBgAAAECt6uoloQEAAABQo/az5AwAAABArTpAhQYAAABALUo3mLr6qNAAAAAAqEEd\nzRntp0IDAAAAoBa15zI1seQsHfUAAAAAAMTHG89epkyqQb/ffqAmlpyR0AAAAAAY8bFXvUCS9Nc3\n/1bPdvVHPJqjY8kZAAAAgAnac406MO7Emr2DeX327ic1mB+OaFQTkdAAAAAAmKCjOaOuceehueX+\nLfrknY/p5vueiWZQkyChAQAAADBBZ3NGPYOFMdWYxnSQPjy642BUw5qAhAYAAADABO3NjZI0pjHA\nUCFIbrbs641kTJMhoQEAAAAwQUcuI0ljWjcX99Rseq5H7h7JuMYjoQEAAAAwQUdzkNDsnySh2dsz\nqJ0HK9MBzd2n1XSAts0AAAAAJugsLjkraQxQ2vXssZ3dWtyeK/vzvudbG/StB7dN+XgqNAAAAAAm\naA+XnHX1ja3QNIWNAXoGChV53ukkMxIJDQAAAIBJFJecja/QLG7PSgrOSVMJa5Z3Tut4EhoAAAAA\nE7Q2pZVuMHWN20OzKExo+oYqU6HpHSxoTtPUd8aQ0AAAAACYwMyCk2uWLjnrHRrZN9M7WJmEpmcg\nr4tOWTDl40loAAAAAEyqPZcZWXLm7jrQN6QFbU2SKpfQ9A7m1UKFBgAAAMBsdTY3jiw56x0sKD/s\n6mxuVDbToL4K7aE5NEBCAwAAAKAMOpozIwlNsWVzey6j5sZ0RSo0hWFX/9CwWhpJaAAAAADMUnuu\nUXt7BpQvDI8kNB25jHKZ1BGbAnziRxv15i//ZtrP1xNWfVqaUlO+DwkNAAAAgEmtWtKuXQcHdNm/\n/lI/27hbUrFCk1LfESo0v99+QH/YfmDaz9czUExoqNAAAAAAmKUrz1muz73xheruz+uTdz4mSWoL\nE5ojLTnbe2hQ+3uHNDzs03q+4sk6mxunXqGZeuoDAAAAoK6YmS59wWKd//wF+tw9T+mXT+zRimNa\nlDtKhWZfz6AKw67u/rzawxN0TkWxQtNKhQYAAABAueQaU/rbS1bqO9e8VK1N6aApwNDkXc7cXXt7\nBiRJ+8KWz1NV3EPTTFMAAAAAAJWSO8KSs+6BvIYKwVKz/dNNaMIlZ1RoAAAAAFRMc2bikrM93QM6\nNJDXvkOjScz+nrEJzVN7DulFH7vrsA0DeosVGrqcAQAAAKiUyZoCvO4Lv9LHf/joyHIzKdhLU+r7\n657V7u4BffVXz0z6uIfYQwMAAACg0nKN6TEVmt0H+/X0cz3avr9Pe0srNOOWnP3kkV2SpDs27Bhp\nAFCqdwZdzmaV0JjZR8xsg5mtM7Mfm9mxs3k8AAAAAPHX3JjSYGFY+cKwJGnd1i5J0oG+oTFVmX09\nQyPfb93Xq0d2HNTLT12o3sGC/mPDjgmPW6zQVLMpwCfdfZW7r5Z0h6QPzPLxAAAAAMRcsYLSOxRU\nVNZvG01o9oYJTUdzZmQPzb6eQb3lqw+oMd2g9192qo6f36LbHtg64XF7BvLKZVJKNdiUxzKrhMbd\nD5ZcbJE0vTPnAAAAAKg5uTChKS47K63Q7D00qJbGlBa1ZbWvd1B7Dw3oii/er03P9ehLb1qrpXOb\n9bq1S/Xg5v16Ylf3mMftGSyoZRr7Z6Qy7KExs4+Z2VZJbxQVGgAAACDxRio0gwUND7s2bA26lgUV\nmgHNa23S3JZGbd7boyu++Gs9s7dHN735LJ170nxJ0qtfuEQtjSn95Vd+qyd3jyY1PQN5tU6jw5k0\nhYTGzO4ysz9M8nW5JLn79e6+VNItkt52hMe5ysweMLMH9uzZM61BAgAAAIiPXCaoovQO5vX0c4fU\nPZDXCfNbNFRwbdvfp7ktjepsadTjuw5p874e3fSms/TSE48Zuf/8OU36xlUvVv/QsF59w3361VN7\nRx5vOvtnpCkkNO5+sbufPsnX98YdeoukPzvC49zo7mvdfe38+fOnNUgAAAAA8VG65GxdWJ05b+UC\nSdLjO7u1qC2rJR05ZTMNuunNZ+klJclM0aolHbr9mpdoQVtWV970a33911v06I5uzW1pnNZYZtvl\n7KSSi5dL2jibxwMAAAAQf6VLztZv7VJrU1ovXN4hSeoeyGtRe1bvumSl7nnPBXrJCROTmaKlc5v1\n7be+RGuWd+q623+vZw/06e0XnjitsUyvnjPRx83s+ZKGJW2W9NZZPh4AAACAmMtlRhOadVu7tGpJ\nuzqbRysri9uzymZSymaOvh+mvTmjr/7V2frEjzZq2bxmnX38vGmNZVYJjbsfdokZAAAAgGSakw3S\niN3d/Xp0x0G95Y+OV3suM3L7ovbstB6vMd2g91126ozGMusuZwAAAADqy5LOZrU0pvTNB7YqP+xa\nvbRjbELTNr2EZjZIaAAAAABMS6rB9IIl7frD9uC0lKuXdqi9eTShWdyeq9pYSGgAAAAATNsZS4Mm\nAIvbs1rYllVrY1oNFty2oK2pauOYbVMAAAAAAHVo9ZIgoTkj/LehwdSWy6jBbErNAMqFhAYAAADA\ntK1e1iEzac3yzpHrOnKZaZ8Yc7ZIaAAAAABM2+L2nG6/5qU6edGckeuOn986pn1zNZDQAAAAAJiR\n1eE+mqLP//maqo+BhAYAAABAWTSmq99zjC5nAAAAAGoWCQ0AAACAmkVCAwAAAKBmkdAAAAAAqFkk\nNAAAAABqFgkNAAAAgJpFQgMAAACgZpHQAAAAAKhZJDQAAAAAahYJDQAAAICaRUIDAAAAoGaR0AAA\nAACoWSQ0AAAAAGoWCQ0AAACAmkVCAwAAAKBmmbtX/0nN9kjaXPUnrj/HSHou6kHUOWIQH8QiHohD\nPBCH6BGDeCAO8TFZLJa7+/yj3TGShAbVYWYPuPvaqMdRz4hBfBCLeCAO8UAcokcM4oE4xMdsYsGS\nMwAAAAA1i4QGAAAAQM0ioUm2G6MeAIhBjBCLeCAO8UAcokcM4oE4xMeMY8EeGgAAAAA1iwoNAAAA\ngJpFQgMAAACgZpHQ1DAzOyXqMUAys3eb2cvD7y3q8dQrM2sv+Z44RIiff/SYH6LH3BAfzA/xUMmf\nPQlNjTKzT0v6oZmtiHgodcvMXm5md0p6r6QrJcnZlFZ1Znahma2T9Dkzu04iDlExs8vN7GZJZ0Q9\nlnrG/BAt5ob4YH6Ih2rMDelKPTDKy8xs3JtwnqR9ki4xs6+6+0BEQ6sr4acLGUkfkHSepP8lqVHS\nWWaWkZTnP8vqMbNWSddJ+oik30i62cya3f190Y6sfhT/bzKzCxTEYUjSOWa22d33Rzy8usD8ED3m\nhvhhfohWtecGKjQ1oHSyMrNUePX9km6QdIWkk6IaWz0pxsHdByV9z93PdfcfSNov6fXuPsSEVT1m\n1iCpVdJWSQ+5+1ZJfy3pdSy3qY5xf0hvkvTHkt4j6WxJqyIbWB1hfogec0P8MD9EK4q5gYQm5szs\nbZK+Y2bvNLNj3b1gZo2SXiHpu5LulvR6M3u1mc2PdLAJVhKHd5nZYnf/bXh9xt3vkfS0mV0a7SiT\nz8yuMbM/kyR3H5bkkuYrmLjk7k9Lul3Sh8PjWStdIePeE4vc/Rl33+HuP5O0S9J5ZnZcxMNMNOaH\n6DE3xAfzQzxENTeQ0MSYmb1K0pskfVrBusPrzGxN+CnQA+7+nKQnJL1D0sck8easgHFxWCXpejMr\nrgPNm9lcSZslFSIaYuKZ2Rwz+7yC5Rw3m1laktx9l6RHJb2z5PB/kPQiMzuNT0UrY5L3xPvMbHXJ\nIbdIWqng07jS+/F/VJkwP0SPuSEemB/iI8q5gYQm3s6WdIO73y3pQwrKdleHt73SzH6hYNPhdxUs\nMTgYxSDrwGRxuFYKNhe6+z5JOUkXSCOlbpSRu3dLusfdF0m6Q9JnS27+R0mrzeyVZtYUfjJ3h4L1\n7KiMyd4T7yje6O4bJP1W0unhptz3htfzB0T5MD9Ej7khBpgfYiWyuYE3VwyVZKpPS3qjJLn7ZgVv\nwk4zO0dB9nufu6929yslLZLEutAyOkocWszs8pLDb1HwqU82/A8TZVISh++H/75T0hvM7CRJcvdD\nkj4h6fUKPqX+sKRzJe2o9liTbprviW8oWLN+m6Rjxt0fM8T8ED3mhvhgfoiHOMwNJDQxYONaa5Zk\nqt+S1Fvyi7BT0k8VvBlvcff3ltztVe7+UIWHmmjTjMPPJZ1S8ibMSrpVLC2YtcPFwd17zKzB3Xcq\n2PD8byXH3CrpnxQsq5kv6dJwuQFmwczWmtmC4uWpvics6C70L5J+L2mVu79n3P0xRdOMAfNDBcz0\nfRBex9xQRoeLBfNDdZnZxWa2png5DnMDCU2EzOyFZnaXpA/baHeakUw1LFd/R9I1ZmbufkBSi6Sc\nuw+bWapYwnb3/gheQiLMMA6tkppK3oTfc/cvuvtQtcefFEeKw/ilGu7+D5KeZ2bnmNkiMzvb3TdK\n+qC7X+3u26s8/EQxs9PM7D5JH5TUUXL90d4T2fA90S/pWnf/L+7OJ6EzMMMYMD+U0SzeB8wNZXak\nWDA/VI+ZnWlmP1TQXOHEkusjnxtIaCIQvgGvV1B2u9Xdr3T3QnhbQ/E/QjNrlvRjSc9KutHMjpV0\npqS8JLl7gRL2zJUrDlIQi6q/gISYShzCP9BaJbWX3PV/S7pX0n8q+BSUCkD5XCvpdnf/E3d/XJry\ne2JIktw97+67oxl6Ysw0BswP5TOrGEjMDWV02FgwP1Re+AHJjZK+KOkLkr6ucBmrmaXjMDeQ0EQg\nDHyjpF+6+79JI1lvWkGbQZnZRxRkwAslvVtBq7uvS+qS9PEoxp00xCEephiHDysoZZ8eXr5U0tsl\nfUrSaR60R8UshZPWXAU/98+E173KzJZIag4vf1S8JyqGGESPGMTHFGPxETE/VFSYmP9I0rnu/l0F\nv/sXWLA3LC9JZvYhRfieMBLW6jCz8yT1u/uvw8stkr4t6REFa553STog6d8l3SXpRkkfcPcnSx6j\n2d17qz32JCEO8TDbOJjZqZK6PThZGmZhklhkJT0k6e8kvUHBps2dkvoUdKu5WbwnyooYRI8YxMds\nY8H8UB7j41ByvUm6SNLrJL3X3fdZsK/p/0l6v7s/VXJs9d4T7s5XBb8kzVGwnnCfpJskdZbcdoWC\nTZznhZf/RtKXJS0vOaYh6teQhC/iEI+vMsQhFfVrSMrXUWLx95KekXRlePk4Sb+WdFHJMbwniEHN\nfxGD+HyVIRbMDxWMg4KmCsVCyBIFHc2OneT+kbwnWHJWeYOSfibpzxWsKXxt8QZ3/7qk1/poOfQu\nSXMVrjUM14eyBro8iEM8zDYOrEcvn8PGQkGXoKyCjkDyYBPtPQrP3cB7omyIQfSIQXzMNhbMD+Ux\naRw8FP6stylIKF9Tesco3xMkNBVgZlea2Xlm1uHuAwraB94l6XFJa81sZXicedARougSBetED0kS\n/1HODnGIB+IQH1ONhQfnbniHpCvNbLWZXS3pYgUnSSMWs0AMokcM4oNYxMM05ukGD5owpCU9Iamn\n9HGijAN7aMokXFO4SMEGqGFJTylooXmtuz8XHnOSpDcpWJP40fC6BkkvU9CXe4uC9Ygbq/8KkoE4\nxANxiI+ZxiK8/nWSzpB0mqTr3P3hKg8/EYhB9IhBfBCLeJjNPB0mNf9X0iF3f38kL2AcKjRlYGYp\nDzLDOZK2u/tFkq5WsP7wxuJx7v6EpAclHWtmJ4Yb3VzSdgX90S/nj7eZIw7xQBziYxaxaDGzjLvf\nJun6MBb84TADxCB6xCA+iEU8zHKezoU3/21ckhlJSkc9gFpmwcn/PiIpZWY/kNSm8GzA7l4ws2sl\nPWtm5xX3Bbj77WZ2ioL2d62SLnT3RxRkxpgB4hAPxCE+yhSLCyQ96pTxZ4QYRI8YxAexiIckx4EK\nzQxZ0M7uQUmdkp5U8AsypKAv94ukkbWEHwq/ivd7raTrJd0taVX4xxtmiDjEA3GIjzLG4tGqDjxB\niEH0iEF8EIt4SHoc2EMzQ2Z2rqQV7v618PINkn6voC/62919TbgfYIGkTyvYC7ApvJ/c/RcRDT1R\niEM8EIf4IBbRIwbRIwbxQSziIelxoEIzcw9K+mZYvpOkeyUtc/evKCjlvT3MdJdIyrt7sRPHL+L+\nS1FjiEM8EIf4IBbRIwbRIwbxQSziIdFxIKGZIXfvdfcBH+17fomkPeH3fynpFDO7Q9I3FJzhFhVA\nHOKBOMQHsYgeMYgeMYgPYhEPSY8DTQFmKcx0XdJCSd8Pr+6WdJ2k0yVt8uAEUKgg4hAPxCE+iEX0\niEH0iEF8EIt4SGocqNDM3rCCM9U+J2lVmN2+X9Kwu/+yFn8pahRxiAfiEB/EInrEIHrEID6IRTwk\nMg40BSgDM3uxpPvCry+7+5ciHlJdIg7xQBzig1hEjxhEjxjEB7GIhyTGgYSmDMxsiaS/kPQpdx+I\nejz1ijjEA3GID2IRPWIQPWIQH8QiHpIYBxIaAAAAADWLPTQAAAAAahYJDQAAAICaRUIDAAAAoGaR\n0AAAAACoWSQ0AAAAAGoWCQ0AoGLMrGBm68zsYTNbb2bvNrMjzj1mtsLMrqjWGAEAtY2EBgBQSX3u\nvtrdT5N0iaRLJX3wKPdZIYmEBgAwJZyHBgBQMWZ2yN1bSy4fL+m3ko6RtFzS1yS1hDe/zd3vM7P7\nJZ0iaZOkmyV9WtLHJZ0vqUnSZ939C1V7EQCAWCOhAQBUzPiEJryuS9LzJXVLGnb3fjM7SdI33H2t\nmZ0v6e/c/bLw+KskLXD3j5pZk6R7Jb3W3TdV9cUAAGIpHfUAAAB1KyPpM2a2WlJB0srDHPdySavM\n7DXh5XZJJymo4AAA6hwJDQCgasIlZwVJuxXspdkl6QwFezr7D3c3SW939zurMkgAQE2hKQAAoCrM\nbL6kz0v6jAfrndsl7XD3YUl/ISkVHtotaU7JXe+UdLWZZcLHWWlmLQIAQFRoAACVlTOzdQqWl+UV\nNAH4VHjbDZK+bWZXSvqRpJ7w+g2SCma2XtJXJP2Lgs5nvzMzk7RH0p9W6wUAAOKNpgAAAAAAahZL\nzgAAAADULBIaAAAAADWLhAYAAABAzSKhAQAAAFCzSGgAAAAA1CwSGgAAAAA1i4QGAAAAQM0ioQEA\nAABQs/4/OrWBxMJ+1hcAAAAASUVORK5CYII=\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "zscore(spread).plot(figsize=(14,8))\n", + "plt.axhline(zscore(spread).mean(), color='black')\n", + "plt.axhline(1.0, c='r', ls='--')\n", + "plt.axhline(-1.0, c='g', ls='--')\n", + "plt.legend(['Spread z-score', 'Mean', '+1', '-1']);" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Rolling Z-Score\n", + "\n", + "Our spread is currently American-United. Let's decide how to calculate this on a rolling basis for our use in Quantopian" + ] + }, + { + "cell_type": "code", + "execution_count": 133, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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8nePIJjUsuST/AK153EVWcRQRSm4nLgc+uCNe9TVx7YqifeLAqRXc8vhMrw+D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\n3b8APAhcYWan9Pgw+4Kun+nS9TNdun6mq1fXTiXFG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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "#1 day moving average of the price spread\n", + "spread_mavg1 = spread.rolling(1).mean()\n", + "\n", + "# 30 day moving average of the price spread\n", + "spread_mavg30 = spread.rolling(30).mean()\n", + "\n", + "# Take a rolling 30 day standard deviation\n", + "std_30 = spread.rolling(30).std()\n", + "\n", + "# Compute the z score for each day\n", + "zscore_30_1 = (spread_mavg1 - spread_mavg30)/std_30\n", + "\n", + "\n", + "\n", + "zscore_30_1.plot(figsize=(12,8),label='Rolling 30 day Z score')\n", + "plt.axhline(0, color='black')\n", + "plt.axhline(1.0, color='red', linestyle='--');" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Implementation of Strategy\n", + "\n", + "#### WARNING: YOU SHOULD NOT ACTUALLY TRADE WITH THIS!" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "import numpy as np\n", + " \n", + "def initialize(context):\n", + " \"\"\"\n", + " Called once at the start of the algorithm.\n", + " \"\"\" \n", + " \n", + " # Every day we check the pair status\n", + " schedule_function(check_pairs, date_rules.every_day(), time_rules.market_close(minutes=60))\n", + " \n", + " # Our Two Airlines\n", + " context.aa = sid(45971) #aal\n", + " context.ual = sid(28051) #ual \n", + " \n", + " # Flags to tell us if we're currently in a trade\n", + " context.long_on_spread = False\n", + " context.shorting_spread = False\n", + "\n", + "\n", + "def check_pairs(context, data):\n", + " \n", + " # For convenience\n", + " aa = context.aa\n", + " ual = context.ual\n", + " \n", + " # Get pricing history\n", + " prices = data.history([aa, ual], \"price\", 30, '1d')\n", + " \n", + " \n", + " # Need to use .iloc[-1:] to get dataframe instead of series\n", + " short_prices = prices.iloc[-1:]\n", + " \n", + " # Get the long 30 day mavg\n", + " mavg_30 = np.mean(prices[aa] - prices[ual])\n", + " \n", + " # Get the std of the 30 day long window\n", + " std_30 = np.std(prices[aa] - prices[ual])\n", + " \n", + " # Get the shorter span 1 day mavg\n", + " mavg_1 = np.mean(short_prices[aa] - short_prices[ual])\n", + " \n", + " # Compute z-score\n", + " if std_30 > 0:\n", + " zscore = (mavg_1 - mavg_30)/std_30\n", + " \n", + " # Our two entry cases\n", + " if zscore > 0.5 and not context.shorting_spread:\n", + " # spread = aa - ual\n", + " order_target_percent(aa, -0.5) # short top\n", + " order_target_percent(ual, 0.5) # long bottom\n", + " context.shorting_spread = True\n", + " context.long_on_spread = False\n", + " \n", + " elif zscore < -0.5 and not context.long_on_spread:\n", + " # spread = aa - ual\n", + " order_target_percent(aa, 0.5) # long top\n", + " order_target_percent(ual, -0.5) # short bottom\n", + " context.shorting_spread = False\n", + " context.long_on_spread = True\n", + " \n", + " # Our exit case\n", + " elif abs(zscore) < 0.1:\n", + " order_target_percent(aa, 0)\n", + " order_target_percent(ual, 0)\n", + " context.shorting_spread = False\n", + " context.long_on_spread = False\n", + " \n", + " record('zscore', zscore)" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.6.1" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} diff --git a/10-Plateforme-Quantopian/.ipynb_checkpoints/04-Trading-Algorithm-Exercise-checkpoint.ipynb b/10-Plateforme-Quantopian/.ipynb_checkpoints/04-Trading-Algorithm-Exercise-checkpoint.ipynb new file mode 100644 index 0000000..a2013bc --- /dev/null +++ b/10-Plateforme-Quantopian/.ipynb_checkpoints/04-Trading-Algorithm-Exercise-checkpoint.ipynb @@ -0,0 +1,54 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Trading Algorithm Exercise \n", + "** This is an extremely open exercise and there are lots of ways to do it! Please feel free to just skip to the solutions to treat it as an example code along. If you attempt the exercise, do not expect the example solution to exactly match up to your solution. You may have performed much better (or much worse)! **\n", + "\n", + "## Your Task\n", + "\n", + "Your manager wants to see if [Bollinger Bands](https://en.wikipedia.org/wiki/Bollinger_Bands) are still a meaningful technical analysis strategy on their own. For this exercise, you will be testing *Johnson and Johnson* sid(4151).Specifically, your manager has decided he wants set 100% of the portfolio to go long when the stock price is below 2 times the 20 day rolling standard deviation subtracted from the 20 day moving average, and go 100% short of the portfolio on that stock when the current price is above 2 times the 20 day rolling standard deviation added on to the 20 day moving average. The check for this signal event should only happen once per day. This is probably a very unreasonable strategy, but the main point of this is to exercise your ability to write out backtest algorithms with Quantopian.\n", + "\n", + "## Time Frame\n", + "\n", + "You should use the following time frame for this exercise (so you can at least have a reasonable comparison to the solutions, but feel free to play around with this!)\n", + "\n", + "#### BACKTEST START: Jul-20-2014\n", + "#### BACKTEST END: Jul-20-2017" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + } + ], + "metadata": { + "anaconda-cloud": {}, + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.6.1" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} diff --git a/10-Plateforme-Quantopian/.ipynb_checkpoints/05-Trading-Algorithm-Exercise-Solutions-checkpoint.ipynb b/10-Plateforme-Quantopian/.ipynb_checkpoints/05-Trading-Algorithm-Exercise-Solutions-checkpoint.ipynb new file mode 100644 index 0000000..39466db --- /dev/null +++ b/10-Plateforme-Quantopian/.ipynb_checkpoints/05-Trading-Algorithm-Exercise-Solutions-checkpoint.ipynb @@ -0,0 +1,93 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Trading Algorithm Exercise Solutions\n", + "\n", + "** This is an extremely open exercise and there are lots of ways to do it! Please feel free to just skip to the solutions to treat it as an example code along. If you attempt the exercise, do not expect the example solution to exactly match up to your solution. You may have performed much better (or much worse)! **\n", + "\n", + "## Your Task\n", + "\n", + "Your manager wants to see if [Bollinger Bands](https://en.wikipedia.org/wiki/Bollinger_Bands) are still a meaningful technical analysis strategy on their own. For this exercise, you will be testing *Johnson and Johnson* sid(4151).Specifically, your manager has decided he wants set 100% of the portfolio to go long when the stock price is below 2 times the 20 day rolling standard deviation subtracted from the 20 day moving average, and go 100% short of the portfolio on that stock when the current price is above 2 times the 20 day rolling standard deviation added on to the 20 day moving average. The check for this signal event should only happen once per day. This is probably a very unreasonable strategy, but the main point of this is to exercise your ability to write out backtest algorithms with Quantopian.\n", + "\n", + "## Time Frame\n", + "\n", + "You should use the following time frame for this exercise (so you can at least have a reasonable comparison to the solutions, but feel free to play around with this!)\n", + "\n", + "#### BACKTEST START: Jul-20-2014\n", + "#### BACKTEST END: Jul-20-2017" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# Setup our variables\n", + "def initialize(context):\n", + " context.jj = sid(4151)\n", + "\n", + " schedule_function(check_bands,date_rules.every_day())\n", + " \n", + "def check_bands(context, data):\n", + " \n", + " cur_price = data.current(context.jj,'price')\n", + " \n", + " # Load historical data for the stocks\n", + " prices = data.history(context.jj,'price', 20 , '1d')\n", + " \n", + " avg = prices.mean()\n", + " std = prices.std()\n", + " lower_band = avg - 2*std\n", + " upper_band = avg + 2*std\n", + " \n", + " if cur_price <= lower_band:\n", + " order_target_percent(context.jj, 1.0)\n", + " print('Buying')\n", + " print('Current price is: ' + str(cur_price))\n", + " print(\"Lower band is: \"+str(lower_band))\n", + " \n", + " \n", + " elif cur_price >= upper_band:\n", + " order_target_percent(context.jj, -1.0)\n", + " print('Shorting')\n", + " print('Current price is: ' + str(cur_price))\n", + " print(\"Upper band is: \"+str(upper_band))\n", + " else:\n", + " pass\n", + " \n", + " record(upper=upper_band,\n", + " lower=lower_band,\n", + " mvag_20=avg,\n", + " price=cur_price)" + ] + } + ], + "metadata": { + "anaconda-cloud": {}, + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.6.1" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} diff --git a/10-Plateforme-Quantopian/.ipynb_checkpoints/06-Pipelines-checkpoint.ipynb b/10-Plateforme-Quantopian/.ipynb_checkpoints/06-Pipelines-checkpoint.ipynb new file mode 100644 index 0000000..442c4e6 --- /dev/null +++ b/10-Plateforme-Quantopian/.ipynb_checkpoints/06-Pipelines-checkpoint.ipynb @@ -0,0 +1,45 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "collapsed": true + }, + "source": [ + "# Pipelines\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + } + ], + "metadata": { + "anaconda-cloud": {}, + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.6.1" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} diff --git a/10-Plateforme-Quantopian/01-Bases-Quantopian-Research.ipynb b/10-Plateforme-Quantopian/01-Bases-Quantopian-Research.ipynb new file mode 100644 index 0000000..8ea7fe4 --- /dev/null +++ b/10-Plateforme-Quantopian/01-Bases-Quantopian-Research.ipynb @@ -0,0 +1,397 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# 01-Les bases de Research avec Quantopian\n", + "\n", + "**N'oubliez pas que ce notebook ne fonctionnera que sur Quantopian ! Créez un compte et téléversez (upload) le fichier de ce notebook. Ces commandes et fonctions ne fonctionneront que sur la plateforme de trading Quantopian !**\n", + "\n", + "Notez qu'une grande partie du texte écrit dans ce notebook en Markdown provient directement des documents et tutoriels Quantopian, regardez les bien aussi, ils sont bien faits !\n", + "\n", + "## Research\n", + "\n", + "Le format notebook nous permet de rassembler facilement les informations sur les différents titres au sein de la plateforme Quantopian. Il faut garder à l'esprit que cela est différent de la plateforme de codage de base de Quantopian, qui se concentre sur la mise en œuvre effective et le backtesting des stratégies de trading." + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import pandas as pd\n", + "import matplotlib.pyplot as plt\n", + "# PAS BESOIN D'UTILISER LA COMMANDE MAGIQUE SUR QUANTOPIAN !" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": true + }, + "source": [ + "## Obtenir des informations\n", + "\n", + "Passons en revue quelques fonctions clés :\n", + "\n", + "* get_pricing()\n", + "* symbols()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## get_pricing()\n", + "\n", + "La fonction `get_pricing` permet d'accéder à 12 ans de données sur le prix des actions américaines : les mêmes données que celles utilisées par le backtester Quantopian.\n", + "\n", + "`get_pricing` retourne un objet Pandas. Il peut s'agir d'un dataframe ou d'une série, selon les valeurs d'entrée. " + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "mcdon = get_pricing('MCD',\n", + " start_date='2017-01-01', \n", + " end_date = '2017-02-01', \n", + " frequency='minute')" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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open_pricehighlowclose_pricevolumeprice
2017-01-03 14:31:00+00:00121.86121.86121.57121.63123665.0121.63
2017-01-03 14:32:00+00:00121.73121.92121.41121.4513536.0121.45
2017-01-03 14:33:00+00:00121.45121.79121.45121.5217562.0121.52
2017-01-03 14:34:00+00:00121.45121.80121.44121.7512072.0121.75
2017-01-03 14:35:00+00:00121.74122.00121.66121.998100.0121.99
\n", + "
" + ], + "text/plain": [ + " open_price high low close_price volume \\\n", + "2017-01-03 14:31:00+00:00 121.86 121.86 121.57 121.63 123665.0 \n", + "2017-01-03 14:32:00+00:00 121.73 121.92 121.41 121.45 13536.0 \n", + "2017-01-03 14:33:00+00:00 121.45 121.79 121.45 121.52 17562.0 \n", + "2017-01-03 14:34:00+00:00 121.45 121.80 121.44 121.75 12072.0 \n", + "2017-01-03 14:35:00+00:00 121.74 122.00 121.66 121.99 8100.0 \n", + "\n", + " price \n", + "2017-01-03 14:31:00+00:00 121.63 \n", + "2017-01-03 14:32:00+00:00 121.45 \n", + "2017-01-03 14:33:00+00:00 121.52 \n", + "2017-01-03 14:34:00+00:00 121.75 \n", + "2017-01-03 14:35:00+00:00 121.99 " + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "mcdon.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "DatetimeIndex: 8190 entries, 2017-01-03 14:31:00+00:00 to 2017-02-01 21:00:00+00:00\n", + "Data columns (total 6 columns):\n", + "open_price 8188 non-null float64\n", + "high 8188 non-null float64\n", + "low 8188 non-null float64\n", + "close_price 8188 non-null float64\n", + "volume 8190 non-null float64\n", + "price 8190 non-null float64\n", + "dtypes: float64(6)\n", + "memory usage: 447.9 KB\n" + ] + } + ], + "source": [ + "mcdon.info()" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [], + "source": [ + "# On ne peut revenir que 12 ans en arrière\n", + "# ce qui est vraiment tout ce dont vous avez besoin pour l'algo de trading', \n", + "# remonter plus loin est probablement plus du bruit que du signal.\n", + "\n", + "mcdon = get_pricing('MCD',\n", + " start_date='2005-01-01', \n", + " end_date = '2017-01-01', \n", + " frequency='daily')" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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ZIiIiIqJuJL+03qWtUaPH2dwqAMCoQdEAgPJqy4T/PUcLnc71RTDjqPnk/AEJYVhx23gM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\nMXzw3QG27EvhrSfG4OXhyvSxnfnmpwTW7jjN2h2nrfe6blAbPN1dWLP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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "mcdon['close_price'].plot()" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "mcdon['close_price'].pct_change(1).hist(bins=100,figsize=(6,4))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## symbols()\n", + "\n", + "By default `symbols` returns the security object for a ticker symbol. Specify a ticker symbol, or list of symbols, as a string and get a list of security objects back. \n", + "\n", + "- Use `symbol_reference_date` to identify which date you want the symbol back for a particular ticker symbol. \n", + "- Specify how you would like missing results to be handled with `handle_missing`\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [], + "source": [ + "mcdon_eq_info = symbols('MCD')" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "type(mcdon_eq_info)" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "auto_close_date\n", + "2020-01-30 00:00:00+00:00\n", + "\n", + "\n", + "asset_name\n", + "MCDONALDS CORP\n", + "\n", + "\n", + "tick_size\n", + "0.01\n", + "\n", + "\n", + "exchange_info\n", + "ExchangeInfo('NEW YORK STOCK EXCHANGE', 'NYSE', 'US')\n", + "\n", + "\n", + "exchange_full\n", + "NEW YORK STOCK EXCHANGE\n", + "\n", + "\n", + "exchange\n", + "NYSE\n", + "\n", + "\n", + "symbol\n", + "MCD\n", + "\n", + "\n", + "start_date\n", + "2002-01-01 00:00:00+00:00\n", + "\n", + "\n", + "multiplier\n", + "1.0\n", + "\n", + "\n", + "sid\n", + "4707\n", + "\n", + "\n", + "first_traded\n", + "None\n", + "\n", + "\n", + "end_date\n", + "2020-01-27 00:00:00+00:00\n", + "\n", + "\n" + ] + } + ], + "source": [ + "for key in mcdon_eq_info.to_dict():\n", + " print(key)\n", + " print(mcdon_eq_info.to_dict()[key])\n", + " print('\\n')" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3.5", + "language": "python", + "name": "py35" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.5.9" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} \ No newline at end of file diff --git a/10-Plateforme-Quantopian/02-Bases-Méthodes-Algorithmes.ipynb b/10-Plateforme-Quantopian/02-Bases-Méthodes-Algorithmes.ipynb new file mode 100644 index 0000000..934ae33 --- /dev/null +++ b/10-Plateforme-Quantopian/02-Bases-Méthodes-Algorithmes.ipynb @@ -0,0 +1,359 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Méthodes Algorithmiques de Base\n", + "\n", + "Testons notre stratégie de portefeuille technologique optimisé avec Quantopian !\n", + "\n", + "#### CE CODE NE FONCTIONNE QUE SUR L'IDE QUANTOPIAN. CHAQUE CELLULE CORRESPOND À UNE PARTIE DE LA VIDÉOCO. N'OUBLIEZ PAS DE REGARDER LES VIDÉOS POUR PLUS DE CLARTÉ SUR CE POINT !" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**initialize()**\n", + "\n", + "initialize() est appelé exactement une fois lorsque notre algorithme démarre et nécessite context en entrée.\n", + "\n", + "contaxt est un dictionnaire Python augmenté utilisé pour maintenir l'état pendant notre backtest ou durant notre trading en direct, et peut être référencé dans différentes parties de notre algorithme. context doit être utilisé à la place des variables globales dans l'algorithme. Les propriétés sont accessibles en utilisant la notation par points (context.some_property)." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "** handle_data() **\n", + "\n", + "handle_data() est appelé une fois à la fin de chaque minute et nécessite le contexte et les données en entrée. Le contexte est une référence au même dictionnaire dans initialize() et les données sont un objet qui stocke plusieurs fonctions API." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Notre portefeuille optimisé d'actions technologiques\n", + "\n", + "Utilisons le portefeuille d'actions technologiques que nous avons calculé plus tôt. Gardez à l'esprit que handle_data() réajuste notre portefeuille chaque minute ! Cela peut être déraisonnable pour certains algorithmes, mais pour cet exemple, nous allons simplement continuer avec ces fonctions de base." + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "def initialize(context):\n", + " # référence aux Actions Tech\n", + " context.aapl = sid(24)\n", + " context.csco = sid(1900)\n", + " context.amzn = sid(16841)\n", + "\n", + "def handle_data(context, data):\n", + " # Positions de notre optimisation de portefeuille !\n", + " order_target_percent(context.aapl, .27)\n", + " order_target_percent(context.csco, .20)\n", + " order_target_percent(context.amzn, .53)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Saisir les données actuelles" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### data.current()\n", + "data.current() peut être utilisé pour récupérer la valeur la plus récente d'un ou de plusieurs champs pour un ou plusieurs actifs donnés. data.current() nécessite deux arguments : l'actif ou la liste d'actifs, et le champ ou la liste de champs considérés. Les champs possibles sont 'price', 'open', 'high', 'low', 'close' et 'volume'. Le type de sortie dépendra des types d'entrée." + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "def initialize(context):\n", + " # Référence aux Actions Tech\n", + " context.techies = [sid(16841),sid(24),sid(1900)]\n", + "\n", + "def handle_data(context, data):\n", + " # Positions de notre optimisation de portefeuille! \n", + " tech_close = data.current(context.techies,'close')\n", + " print(type(tech_close)) # Pandas Series\n", + " print(tech_close) # Prix à la Clôture" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "##### A noter ! Vous pouvez utiliser data.is_stale(sid(#)) pour vérifier si les résultats de data.current() ont été générés à la barre courante (la période) ou s'ils ont été complétés à partir d'une période antérieure." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Vérification pour trading" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### data.can_trade()\n", + "\n", + "data.can_trade() est utilisé pour déterminer si un ou plusieurs actifs sont actuellement cotés sur une place de marché et peuvent être négociés. Si data.can_trade() renvoie True pour un actif particulier dans une période de minutes donnée, nous sommes en mesure de passer un ordre pour cet actif dans cette minute. Il s'agit d'un élément important à intégrer dans notre algorithme si nous sélectionnons à la main les titres que nous voulons négocier. Il ne nécessite qu'un seul argument : un actif ou une liste d'actifs." + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "def initialize(context):\n", + " # Référence à Amazon\n", + " context.amzn = sid(16841)\n", + " \n", + "def handle_data(context, data):\n", + " # Cela nous permet de ne pas lever une exception !\n", + " if data.can_trade(sid(16841)):\n", + " order_target_percent(context.amzn, 1.0)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Vérification des données historiques\n", + "\n", + "Lorsque votre algorithme appelle data.history sur les actions, les données renvoyées sont ajustées en fonction des scissions, fusions et dividendes à la date de simulation actuelle. En d'autres termes, lorsque votre algorithme demande une fenêtre historique des prix, et qu'il y a une scission au milieu de cette fenêtre, la première partie de cette fenêtre sera ajustée pour la scission. Cet ajustement est effectué pour que votre algorithme puisse effectuer des calculs significatifs en utilisant les valeurs de la fenêtre.\n", + "\n", + "Ce code interroge les 20 derniers jours de l'historique des prix pour obtenir un ensemble statique de titres. Plus précisément, il retourne le prix de clôture quotidien des 20 derniers jours, y compris le prix actuel pour la journée en cours. Dans la simulation, les prix des actions sont ajustés en fonction de la division et du dividende à la date du jour :" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "\n", + "def initialize(context):\n", + " # AAPL, CSCO et AMZN\n", + " context.assets = [sid(24), sid(1900), sid(16841)]\n", + "\n", + "def before_trading_start(context,data):\n", + " price_history = data.history(context.assets,fields=\"price\", bar_count=5, frequency=\"1d\")\n", + " \n", + " print(price_history)\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "L'argument bar_count indique le nombre de jours ou de minutes à inclure dans la DataFrame pandas renvoyée par la fonction history. Ce paramètre n'accepte que des valeurs entières.\n", + "\n", + "L'argument frequency spécifie la fréquence d'échantillonnage des données : quotidienne ou par minute. Les entrées acceptables sont \"1d\" ou \"1m\". Pour les autres fréquences, utilisez la fonction de rééchantillonnage de pandas." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Exemples\n", + "Vous trouverez ci-dessous des exemples de codes ainsi que des explications sur les données renvoyées.\n", + "\n", + "### Daily History\n", + "\n", + "Utilisez \"1d\" pour la fréquence. Le DataFrame retourné est toujours construit en \"barres\" quotidiennes. Les barres ne couvrent jamais plus d'un jour de trading. Pour les actions américaines, une barre quotidienne saisit l'activité de négociation pendant les heures de marché (généralement de 9h30 à 16h00 ET). Pour les contrats à terme américains, une barre quotidienne saisit l'activité commerciale de 18 h à 18 h (heure de l'Est) (24 heures). Par exemple, la barre quotidienne du lundi saisit l'activité de 18 heures la veille (dimanche) à 18 heures le lundi. Le mardi, la barre quotidienne s'étend de 18 heures la veille (lundi) à 18 heures le mardi, etc. Pour l'une ou l'autre des classes d'actifs, la dernière barre, si elle est partielle, est construite en utilisant les minutes de la journée en cours.\n", + "\n", + "### Exemples (en considérant que context.assets existe):\n", + "\n", + "* data.history(context.assets, \"price\", 1, \"1d\") retourne le prix actuel.\n", + "* data.history(context.assets, \"volume\", 1, \"1d\") retourne le volume depuis l'ouverture de la journée en cours, même s'il est partiel.\n", + "* data.history(context.assets, \"price\", 2, \"1d\") retourne le prix de clôture d'hier et le prix actuel.\n", + "* data.history(context.assets, \"price\", 6, \"1d\") retourne les prix des 5 jours précédents et le prix actuel.\n", + "\n", + "\n", + "### Minute History\n", + "\n", + "Utilisez \"1m\" pour la dréquence.\n", + "\n", + "Exemples (en considérant que context.assets existe):\n", + "\n", + "* data.history(context.assets, \"price\", 1, \"1m\") retourne le prix actuel.\n", + "* data.history(context.assets, \"price\", 2, \"1m\") retourne le prix de clôture de la minute précédente et le prix actuel.\n", + "* data.history(context.assets, \"volume\", 60, \"1m\") retourne le volume des 60 minutes précédentes." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Planification\n", + "\n", + "Utilisez la fonction schedule_function pour indiquer quand vous souhaitez que d'autres fonctions soient exécutées. Les fonctions transmises doivent prendre comme paramètres le contexte et les données (context et data)." + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [], + "source": [ + "def initialize(context):\n", + " context.appl = sid(49051)\n", + "\n", + " # Au début de la semaine de trading\n", + " # A l'ouverture du marché, fixer 10% du portefeuille à Apple\n", + " schedule_function(open_positions, date_rules.week_start(), time_rules.market_open())\n", + " \n", + " # A la fin de la semaine de trading\n", + " # 30 min avant la fermeture du marché, liquider toutes les actions Apple.\n", + " schedule_function(close_positions, date_rules.week_end(), time_rules.market_close(minutes=30))\n", + "\n", + "def open_positions(context, data):\n", + " order_target_percent(context.appl, 0.10)\n", + "\n", + "def close_positions(context, data):\n", + " order_target_percent(context.appl, 0)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Information Portefeuille\n", + "\n", + "Vous pouvez obtenir des informations sur le portefeuille et les enregistrer !" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "def initialize(context):\n", + " context.amzn = sid(16841)\n", + " context.ibm = sid(3766)\n", + "\n", + " schedule_function(rebalance, date_rules.every_day(), time_rules.market_open())\n", + " schedule_function(record_vars, date_rules.every_day(), time_rules.market_close())\n", + "\n", + "def rebalance(context, data):\n", + " # La moitié de notre portefeuille est sur une position longue d'amazon\n", + " order_target_percent(context.amzn, 0.50)\n", + " # L'autre moitié est en position courte d'IBM\n", + " order_target_percent(context.ibm, -0.50)\n", + "\n", + "def record_vars(context, data):\n", + "\n", + " # Tracé des prix à la clôture\n", + " record(amzn_close=data.current(context.amzn,'close'))\n", + " record(ibm_close=data.current(context.ibm,'close'))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Slippage et Commision \n", + "\n", + "### Slippage\n", + "En finance le slippage (en français glissement) est l'écart de cours qui peut avoir lieu entre le moment de passage d'un ordre de trading et son exécution effective.\n", + "Lorsqu'un ordre est passé pour une transaction, le marché est affecté. Les ordres d'achat font monter les prix, et les ordres de vente les font baisser ; c'est ce qu'on appelle généralement l'impact d'une transaction sur les prix. En outre, les ordres de transaction ne sont pas nécessairement exécutés instantanément. Les taux d'exécution dépendent de la taille de l'ordre et du volume actuel des transactions sur le titre négocié. Le paramètre volume_limite détermine la fraction du volume d'échange d'un titre qui peut être utilisée par votre algorithme.\n", + "\n", + "Dans le cadre du backtesting et du trading papier sans courtage (trading papier quantopian), un modèle de slippage (glissement) peut être spécifié dans initialize() à l'aide de set_slippage(). Il existe différents modèles de slippage intégrés qui peuvent être utilisés, ainsi que la possibilité de définir un modèle personnalisé. Par défaut (si un modèle de slippage n'est pas spécifié), le modèle de slippage de la part de volume suivant est utilisé :" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "# valeurs par défaut de la fonction set_slippage dans quantopian, à ajouter dans la fonction initialize()\n", + "# set_slippage(slippage.VolumeShareSlippage(volume_limit=0.025, price_impact=0.1))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "En utilisant le modèle par défaut, si un ordre de 60 actions est placé pour une action donnée, que 1000 actions de cette action se négocient dans chacune des prochaines minutes et que la limite de volume est de 0,025, alors notre ordre de négociation sera divisé en trois ordres (25 actions, 25 actions et 10 actions) qui s'exécuteront dans les 3 prochaines minutes.\n", + "\n", + "À la fin de chaque journée, tous les ordres ouverts sont annulés, de sorte que la négociation d'actions liquides est généralement une bonne idée. En outre, les ordres placés exactement à la clôture du marché n'auront pas le temps d'être exécutés et seront annulés." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Commision\n", + "\n", + "Pour définir le coût des transactions, nous pouvons spécifier un modèle de commission dans initialize() en utilisant set_commission(). Par défaut (si un modèle de commission n'est pas spécifié), le modèle de commission suivant est utilisé :" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [], + "source": [ + "# set_commission(commission.PerShare(cost=0.0075, min_trade_cost=1))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Le modèle de commission par défaut est de 0,0075 dollar par action, avec un coût commercial minimum de 1 dollar.\n", + "\n", + "Les modèles de glissement et de commission peuvent avoir un impact sur la performance d'un backtest. Les modèles par défaut utilisés par Quantopian sont assez réalistes. Il est donc fortement recommandé de les utiliser." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Bon Travail !\n", + "\n", + "Ce sont toutes les bases du tutoriel sur les Quantopians ! Avec ces fonctions clés, vous en savez en fait assez pour commencer à faire du trading ! " + ] + } + ], + "metadata": { + "anaconda-cloud": {}, + "kernelspec": { + "display_name": "Python 3.5", + "language": "python", + "name": "py35" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.7.5" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} diff --git a/10-Plateforme-Quantopian/03-Premier-Algorithme-Trading.ipynb b/10-Plateforme-Quantopian/03-Premier-Algorithme-Trading.ipynb new file mode 100644 index 0000000..6307fc5 --- /dev/null +++ b/10-Plateforme-Quantopian/03-Premier-Algorithme-Trading.ipynb @@ -0,0 +1,540 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Premier Algorithme de Trading\n", + "## Trading de Paires\n", + "\n", + "Le trading de paires est une stratégie qui utilise deux actions qui sont fortement corrélées. Nous pouvons alors utiliser la différence de prix entre les deux actions comme signal si l'une d'entre elles sort de la corrélation avec l'autre. Il s'agit d'une stratégie plus ancienne qui est utilisée classiquement comme guide pour commencer le trading algorithmique. Il existe un guide complet fantastique et vous pouvez le trouvez sur Investopedia [ici](http://www.investopedia.com/university/guide-pairs-trading/)! **Je vous recommande vivement de lire l'article dans son intégralité avant de continuer, il est divertissant et instructif !**\n", + "\n", + "\n", + "Créons notre premier algorithme de Trading base ! Il s'agit d'un exercice d'utilisation de l'algorithme quantique, **PAS** d'une représentation réaliste de ce qu'est un bon algorithme ! N'utilisez jamais quelque chose d'aussi simple que cela dans le monde réel ! Il s'agit d'une version extrêmement simplifiée du Trading de paires, nous ne prendrons pas en compte des facteurs tels que la co-intégration !" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import pandas as pd\n", + "import matplotlib.pyplot as plt" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## United Airlines et American Airlines" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "start = '07-01-2015'\n", + "end = '07-01-2017'" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "# en local\n", + "# united = quandl.get('WIKI/UAL',start_date=start,end_date=end)\n", + "# american = quandl.get('WIKI/AAL',start_date=start,end_date=end)\n", + "\n", + "united = get_pricing('UAL',start_date=start,end_date=end)\n", + "american = get_pricing('AAL',start_date=start,end_date=end)" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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" + ], + "text/plain": [ + " open_price high low close_price \\\n", + "2015-07-01 00:00:00+00:00 39.846 40.091 37.052 38.023 \n", + "2015-07-02 00:00:00+00:00 38.248 39.018 37.640 38.253 \n", + "2015-07-06 00:00:00+00:00 38.317 39.209 38.307 38.934 \n", + "2015-07-07 00:00:00+00:00 39.140 39.934 38.483 39.865 \n", + "2015-07-08 00:00:00+00:00 39.503 39.513 38.366 38.542 \n", + "\n", + " volume price \n", + "2015-07-01 00:00:00+00:00 23439886.0 38.023 \n", + "2015-07-02 00:00:00+00:00 10226556.0 38.253 \n", + "2015-07-06 00:00:00+00:00 8025562.0 38.934 \n", + "2015-07-07 00:00:00+00:00 9341995.0 39.865 \n", + "2015-07-08 00:00:00+00:00 9976525.0 38.542 " + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "american.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": 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hTTERYeE9HtmWFpPCudlnsf3obmqsdcSER5GdkMWu8r0U1ZYwPnX0ScUy2Bys\nPcy6Q18wOmkEszOnDnQ4QaMkWkRERHql0dFMdEQUE1LH8FVFAfmV+2h22ICuF90ZjcZO1eYhbZXo\now0VPb5vZXMNmbFDuP3s75IRm06YMYys+KG8uH05btzMGTadm6Zfw8HaEsCzgM+brCdHJTI0No3i\nuiO43e5eTYxwu938etWfqLM3+C0gPBGjwcgPz7iR13e/xys73iLGHEV24vC22A6FTBJ9tNHzO5w7\nfHavpq2c6k6fn1REREQCoqmlmZjwKCamjgVgd8W+DpMrum51OJY3ue1qgWBXWlodNLY0kRQVz/CE\nTExhJgwGA98Yv5A75y/hG+MX8j9zbiYlKomRCcMAT190dbNnPnW8JZbh8Zk0O6zdjsizO1tYWbCa\n2mN2V9xVvte3IPHC0fN6FG9HMRGehYjREdFkJ2UBcKDmEFaHrdO9TkX2tr70U3FTlb5QEi0iIiI9\n5nS1YnPaiYqIJCdlFGEGI19VFPjaOeJ7OD4uMtxCVnwGO8rzKagqPOH5jW0bpcREdE7Spw3N5Yap\nV/mmQiRFJhBrjqGopphNJdsAyEnOZnh8BgCH6ko6XaPe3sh9qx9h2ZZ/8mFbb7XXxwfWAnDv+Xdw\n8/Rre/TzdRTbNs0jJjyKjJh0zGERFNYU8+dNz/P/3r8fR6uj19ccTHzbe58mUzm8lESLiIhIjzW3\nLSqMjojCYjIzKnE4B6oP+iZjxB9nm+Rj3TLjOtxuN89te+2E5zZ1uO+JGAwGshOyKG+qYk3RRuLN\nsUwbOonhCZlA5wkdFU1V3P3xH3zJvHeRJHgmcmw8vI3M2CGMTxnT45+tI++0jjhLLEajkZEJwzhc\nX8rW0p002Bspqe9ZNX6w8laizapEi4iIiHTNu1thTLgnmZ3QNqruiyM7AHq1kcnEtBymDpnInsr9\nHKw97Dt+pP4oL3253G+GtDeJjulBEg0wMjHLF++8EWdgMoa1V6Jr2yvRLreL+1Y/ypGGMhaMPBOA\nRnsTjfYm1h3azKdFG3G6nJw/au5J77w3PmUM3515PZeMPReA0UkjcLld2Fs9yWdXlfFTib3VU4k2\nh6kSLSIiItKlYyvC3r5ou9OOyWgiOrxnSa7XwjHzAfjdZ0/wzJZXOdR8hB+/dy/Lv3qf3RUFvvMa\nvfft4fW9fdEAC7I9yXFqdDJmk9mvEl3eVEVZYwWzM6fyvVnf8d3rhe2v8+jny3hu278JM4axYOSc\nXv1cHRmy5/UNAAAgAElEQVQMBhaOWeCrSHs3Y/Hqy+zqwcB2mvZEazqHiIiI9Fh52+Yo3iR6XEr7\nhIkZQyf1ulo7c+hkvjb2PD4t2uCbNezVcWfE3laiR7VVorMTsxjRllAbDUaGxw3lQG0xTlcrJmOY\nb2702ORsIsLCMYdF0NDSiNVp811rdubUk94qvCu5qf6zlA91qMKfimxtz+p0S6JViRYREZEecbld\nLP9qJQYMzMqYAvj3KF88dkGvr2k0GvmPGd/i6Sse4q4FtzE9foLvtfoOuyA2OXreEw0wNDad/5j+\nLf5r1iK/41kJmbS6WjlSfxTAl0RntbV6xERE+6reXheOOqeXP9XxmcJMTB0yEYDo8Ej2Vx/0+8Bw\nqmnviVY7h4iIiEgnhTXFFNUe5qysGb5FegB3zl/C1RMvZVLauJO+tinMxJQhE1iYOpdfzv8foH0i\nh+fr3lWiDQYDX8s5j1FJI/yOt0/oOOL3v74k2hxNo72J8qYqIsLCuf3s7zI5ffxJ/1zd+enc/+Iv\nl/+Or+WcR0NLE3/74qWA3yNYtLBQRERE5Dgq2lo5xiZn+x2fPnQS102+/KQX3h0rrm0knF8l2teL\nHd2nax875q64tgSLyUxKVCIAsRHRWJ026mz1jEsZxVlZMwP2c3UUYYogKSqBayZextDYNPKO7MDl\ncgX8PsHgXVho0cJCERERkc6qrZ6NS47d1jvQYts2bGnoMonu3cLFYw2Pbx9zZ3XYONxwlBEJw3w7\n7cV0SNJTo1P6dK+eMBqNjE3Oxt7aQmljeb/frz94FxZGqJ1DREREpDNvEp0cmdiv9/Em0X7tHI7e\ntXN0J84SS7wljuLaEvZWHcDtdjMhtX3+c4y5PYlOi07u0716KjvBswiysKY4KPcLNLvTjjks4rTa\n8huURIuIiEgPebfQ7u9KtDksgnCjyb+dw96E0WAk0mTp8/WHx2dQ0VzN1iM7Afw2UemYpKcFoRIN\n7TOti4I4paPjs+0ru7PltFtUCEqiRUREpIeqrLUYMJBgie/X+xgMBmLNMZQ2lLO7fC/19kYaHc1E\nh0cGpD95aGwaAJ8e3IgBA+NSRvle69jOMaUfFhR2xTvTuijAlWiXy4Xb7e50/JUdb/Hd5T9lf/XB\ngNzH1mo/7RYVguZEi4iISA9VW2tJsMRhMob1+71izTFUW2v59ao/+Y4NiUkNyLW9FeamlmYyYtP9\n+qwdrQ7f14GcDX080RFRpEUnU1hbjNvtDsgHBafLya8+eog4Syx3zl/iO7796G5e3/0eALvK9zD6\nmOklJ3KotoRmh5XxHVpg7M4WEts2kjmdqBItIiIiJ+R2u6luriEpsn9bObxcbVt+J0UmMGPoJJKj\nEpnZNpu6r9Jj2ts0hsUN9Xtt3sg5jE4cwe8u+kVA7tVTIxOyaLA3UmOtC8j11lTnsb/mIHsq9/uO\n1VrreHzDs74kvTc92E5XKweqD/KT9+/n7k/+iM3RvhmN3alKtIiIiEiXGluacLic/d4P7VVcXwrA\n/JFz+M6UKwN67Y69zhlx6ce8lszvFgY3gQZPX/Smkm0U1hb3+RnvqdzPptodADQ7rNidLYSHmfi/\njc9SZ2/gxmnX8O9d7/QqiX5+22t+O0ruLN/LrMwptLpacbic6okWERER6Yp3IVq8OTgtDt+deT3J\nkYl8bex5Ab92enT3leiBkp148hM6mlqaeWXHW3xR8iX3r36Muz/5I9C+gUyNrY7d5QXsKMtn+tBJ\nXJZzPtmJWZQ2lGPtUFFudbXy6Od/Z3Xh537Xd7paWXNwk+eabc9rW+kuoH2jldNty28IciX63//+\nN2+++SYGgwG3282uXbt46aWX+PWvf43RaGTcuHHcc889wQxJREREeqDZYQUgKiIyKPdbOGYBC8f0\nfhvxnuj4M2TGDemXe/SWd8xdUW3vk+gXv1zOR/vX+B2bnTCJzKGZFNcdodZax67yvQAsHDMfg8FA\ndkIWu8r3crD2sK+/+cuyr1h36Avq7Q2cm32W71q7y/fS2NLEJWPO5abp13DL8p+ypXQnbrcbW9tG\nK2rn6GfXXHMN11xzDQCbN29m5cqV/Pa3v2Xp0qXk5uby4x//mDVr1jBv3rxghiUiIiIn4Euiw4OT\nRAdLRmz6iU8KgsTIeGLNMSc1oaO5bSMar/Oyz2a6IYcai+d4tbWO3RV7MRgMjE8ZDUB24nDAU/n2\nJtGfFm4AwOqw+13v8+ItAJyZNYMwYxizMqbw2cGNFFQV+mZ6n267FcIAtnM88cQTfO9736OkpITc\n3FwALrjgAtavXz9QIYmIiEg3Qi2Jvue82/nhGTcSGd73udOB4K0OlzdV+XZn7KmOU0TGJI3kv89Y\nTLjRRGKkZxThkYajFFQVkZ2Q5ZtEkp3k3z7S1NLM5pLtAJ1aPDaVbCPeEudLwM8ePguAP29+nofW\n/hk4PSvRA5JE79ixg6FDh2I0GomPb581mZKSQkVFxUCEJCIiclo6VFvCXzY9z76qouOe19wSWkl0\nblqOX8vCYODddOVgLzdd8fYlg2cjGS9vEv3qzhU4XU7OGDbN91pGTDrmsAgKaw4BsP5QHg6XEwCr\nsz2J3lW+lwZ7I3OGTcNo9KSNU4ZMIDkqkZL6o1Q2VZOdkMVZWTN6FXMoGJDpHP/617/45je/idvt\n7jQEPBCzEUVEROT43G43L+94k7fyP8TldrGrooA/XrKUiLDwLs9vbqtORg2Sym0oyk70bLpSWFPM\nxLScHr+vY+U6yy+Jbp/yMX1oLleOv9j3vdFoZETCMPZVF9HS6uDTog0YDAbizbG+SvSh2hLWF+cB\ncFbWTN97TcYw/njxUmxOO4mR8adt7jYgSfSmTZu4++67AaitrfUdLysrIzW1Z4PU8/Ly+iW205We\nZ+DpmQaOnmVg6XkG1qn6PA9bj7K85H3iTbGkmhPZ13iIv3zyLFmRQ8mr3cVl6QuIMLYn1PurDgBQ\nXFiM4aizX2M7VZ9pXzXYPTnRtgM7GdLY8zF3pVVH27+pdJLX6Hl+hbv3+Q7PDJ/A1q1b/d4X47Tg\ncrv455rX2Vt1gJGRmTjdrdQ66/nXZ2/yr9KVAESHRdJ8qI684s6/l8IeRxl6gp5El5eXEx0djcnk\nufWoUaPYsmULM2bM4IMPPmDx4sU9us7MmTNPfJL0SF5enp5ngOmZBo6eZWDpeQbWqfw8V637KwB3\nzP8eIxKGcfu797Kxbgdrqz2LyC5JO4+ZI9p/ti+37IcamJ471dd20B9O5WfaV9XWWpYVv050Qkyv\nnsErFe8R6bTw6GX3ktC2c2BeXh5zZs/hXNceUqITWTjpgk7vqztgZ8vm3axv8PRCf2PqQtYe3Mzh\n0qMcCivznTczawqzZ83u40936uruQ13Qk+iKigqSk5N93//yl7/k7rvvxu12M3XqVM46a3D1J4mI\niISaensjX5R8SXZCFuNTxmAwGFg87Woe27DMd05xXSk2hw2Hy0msOSbkFhYORpEmT6tMx90Ae6LR\n0UxMRJQvge7oh3Nu7PZ93tnUVc01RIZbmJ05jS+OeDZp2XjYU7UekzSSK8Yv7FU8p4ugJ9G5ubk8\n9dRTvu9Hjx7Niy++GOwwRERETlt5JV/icruYO2KWr5917vBZfHxgrW+e8P7qg/zv+r9RVHuYxy69\nV0l0EJjbxsTZnPYTnOmvqaWZoTFpvb5fVtxQwoxhtLpaOStrJmZTBFGm9p73+SPncOucm3t93dOF\ndiwUERE5zXirjGdktk9rMBgM3DrnZq7JvYykyAQKqgrZVVFAra2ejw+s8yXRg2UkXCgyGo2YwyJ6\nlUQ7Xa3YnHbf6LreMIWZfNM8zh15JgCWDr/f4fGZvb7m6WRAFhaKiIjIwNhRls+W0p2MThzBkFj/\n6mVyVCLfmvR1jjaUs/bQZt/xFXs/Jjo8CrPJTJgxLNghn1Ys4Ra/EXMn0tTSBHBSSTTA1RMvZW9V\nIePaZkB3nL6SFNnzxY2nI1WiRUREThPNDit/3vQ8RoOR7876drfnzciY5Ps63hxLVXMNh+pKNN4u\nCCwmc68q0d7xdjER0Sd1vzOGTeOGqVf52noiTUqie0pJtIiIyGni+W2vU9lczZUTLmZ00ohuz5uR\nMdn39c0zrsVo8KQL6ofufxaTGZuj50l0Y1sSfbKV6GN1bNdJilISfTxKokVERE4D20p38/GBtYyI\nz+SaiZce99yo8Ehy2zb7mJUx1bfNs5Lo/hfZVok+djO67uyt8kxqjumPJNoSf5wzRUm0iIjIaeD1\n3e9iwMCSOTdhCjvxkqg759/Ksiv/gNkUwRXjLwI8rR3SvywmM27c3Lf6EYrrjhz33PcLPuW5bf8m\nOjySMzKnBuT+kab2D0oRpoiAXDNUKYkWEREJceWNleRX7ic3LafHG6VEhIUTY/b02Y5IGMavFvwP\ni6dd3Z9hCmBp60neVb6X+1Y90u15b371AX/f8grxljh+ff4dZMQNCcj9I8PNAbnO6UDTOURERELc\n+rbtmueNOOOkrzF1yMRAhSPHYemQxNbZG7o8p7ShnBe/fIPkqESWnvsjMmLTA3Z/A4aAXSvUqRIt\nIiIS4sobKwEYm5I9wJHIiVhM/pXg6ubaTud8WrQBgO9MvjKgCTRAekwKgK8PXrqnSrSIiEiIa+zj\nGDQJnmOT6N0VezlnxBms2PMRRTWHWTLnJtYUbSTSZOGMYdO6ucrJi7fE8dw3/0R4WHjArx1qlESL\niIiEuCaHZ0OOmPDATHCQ/tNxTjPA/upDpEYn8/y213Hj5oLRc6loruacEWdg7qeFfxbNA+8RJdEi\nIiIhrtHejNlk7tFUDhlYHSvRBoOBPZX72VK6AzeekXefFW0CYMbQ3AGJT9rp3yYREZEQ1+hoVhX6\nFNExic6MHcK+6iIAzGER2Ftb+OzgRgwYtNBzENDCQhERkRDX1NIcsM04pH95t98GGJU4HID0mFQu\nzTkfAEerg8y4IcSaYwYkPmmnJFpERCSEuVwumh3WgG0LLf3L6rD5vp6VOYWo8EiWnHEjyVGJvuNJ\nkdqOezBQO4eIiEgIa3JoMsepZETCMADOzprJmVkzOGPYNIwGI9XWOt85CZFxAxWedKAkWkREJIR5\nx9upEn1qmJg2locW/orMOM/8Z6PB0zQQa27/EJRgiR+Q2MSfkmgREZEQ1WBv5MlNzwGoJ/oUMjJx\nWKdjHf+SkGhRJXowUE+0iIhIiHpj90r2VO4HVIk+1cV2SKLVzjE4KIkWEREJURGm9l3nVIk+tcWY\nO1ai1c4xGCiJFhERCVHeflqAVpdrACORvjKHte9OmKB2jkFBSbSIiEiIsjrsvq9zUkYNYCTSVx3n\nRydEqhI9GCiJFhERCVFWhxWAe8+/g9FJIwY4GgmUSJNloEMQNJ1DREQkZFmdnkr0kJi0AY5EAuF3\nF/0Cq8PmV5WWgaMkWkREJETZnJ7d7yJN5gGORAJBf00YXNTOISIiEqKsDhsGDJiVRIsEnJJoERGR\nEGV12rGYzPrzv0g/UBItIiISomwOG5ZwVaFF+oOSaBERkRBlddo0yUGknyiJFhERCVFWp11JtEg/\nURItIiISglpdrThaHWrnEOknSqJFRERCkNU33k6VaJH+oCRaREQkBNnatvy2hCuJFukPSqJFRERC\nkFUbrYj0KyXRIiIiIcjqaEuiVYkW6RdKokVEREKQzdnWzqGeaJF+oSRaREQkBFVbawGIM8cMcCQi\noUlJtIiISAg6VHcEgOHxmQMciUhoUhItIiISgorrSgAYHp8xwJGIhCYl0SIiIiHoYG0JqVFJREVE\nDnQoIiFJSbSIiEiIqbc1UGurJytBrRwi/UVJtIiISIg51NbKMUL90CL9Rkm0iIhIiPEtKkxQP7RI\nf1ESHULcbjfv7v2E6ubagQ6lV1wuF3lHdtDqah3oUEREQsLBWm8letgARyISupREh5DNJdt5duu/\n+NVHDw10KL2y4fBWHlzzJO/uXTXQoYiIhIRDdSWYjCaGxKYNdCgiIUtJdAhpaW0BoMpaM8CR9M7h\n+lIAPju4cYAjkWA5XF/KyoLVuN3ugQ5FJOS4XC6K646QGTcEkzFsoMMRCVlKokOIyWga6BD8VFtr\neWH7GxypP3rc88obKwE4WHuYQ21/gpTQZXPaefCzJ1m25Z8U1hwa6HBEQk5ZUyUtrQ4tKhTpZ0qi\nQ4jd2eL7ejBU+P618x3eyv+AH793b6c+bZfbxdv5H3Gg+hBlTZW+42sPbQ52mBJk/9zxtu93vreq\ncICjEQk9B2sPA1pUKNLflESHEHur3fd1Q0vTAEYCLa0OPi/O831/oOag3+vvF3zK89tf44/rn6K8\nsZLEyHgiTRbWHtyMy+0KdrgSJHsrD/Du3k+IN8d6vlcSLRJw7dt9a1GhSH8KehL91ltvccUVV3D1\n1Vfz2WefcfToURYvXswNN9zA7bffjsPhCHZIIcPWoRJd3lhJra1+wNoj8o58SbPDSkpUEgCVzZ4+\n7WaHlZe+XM7z218HoKKpihpbHcPihjBn2HQqm6vZU7m/3+N7+cs3eXfvJ/1+H2nX0urgz5ueB+CO\nud8jOiKKAiXRIgHn/e++KtEi/SuoSXRtbS1PPPEEr7zyCn/961/56KOPePTRR1m8eDEvvPACGRkZ\nvPbaa8EMKaTYnO2V6Ec+f5r/evMX/PT9BzjaWBH0WD4r8iwS/ObESwAob6riw31ruO2du1n+1fvE\nW2IZnzLad35adCrnjJgNwJqD/dvSUWOt442vViqJDrIvSrZT0nCUi8bMY0LqWHKSsylrrKDe1jDQ\noYmElEN1JcRGRJNoiR/oUERCWlCT6PXr1zN37lwiIyNJSUnhvvvuY9OmTZx33nkAXHDBBaxfvz6Y\nIYUUe4ckuqK5mjhzDG7cvoV7wVJva2Bb6S6yE7KYNiQXgBV7PuJveS9hb3Vw3aTLeeRrv+a7M7/t\ne8+IhEwmpY0j0RLP58V5HG0o77f4tpbuAqDO3thv95DOypuqAJg+dBIAY5OzASioLhqokERCyqHa\nEnaU5VPWWMnwhEwMBsNAhyQS0oI6zqGkpASXy8Xtt99ORUUFS5YswWazER4eDkBqaioVFcGvmoYK\n78LCH8y+gVkZU1hfnMeyLf+ksaU5qHGsO/QFrW4X80bOITEyHoPBgNvtJjYimocvuYukyAQAhidk\n8vDFv8LqsDE2ORuj0chFY+bz6s63ufPD3/N/l/2GGHN0wOPbUroD8HzosDtbMJsiAn4P6azWWgdA\noiUO6JBEVx1gZsbkAYtLJBS43W7uWfW/NLX99/6srJkDHJFI6AtqEu12uykrK+OJJ56gpKSEG2+8\n0e+Tstvt7vEn57y8vBOfdJopKfcsJqHcQUHNXiraqrm79+3GfILPJoF8niuLV2HAQGxtBNu2bvNN\nChkSnkLh7v101QW77dA2AEa60zgzcSobarbz8rrXmRE/MWBxAbS6W9lWssv3/bov1hMfHturazjd\nreysL2B8TDaWMHO35+mfUX8HjhYBcKjgIDWmSmxtC2HzCr9kbIv/Aqg6RwNvla2iyWnlusyv6VkG\nmJ5nYA2G51nvaPQl0BGGcOJrzIMirpN1Ksc+mOg59q+gJtEpKSlMnz4do9FIVlYW0dHR2O12Wlpa\niIiIoKysjNTU1B5da+bMwf8pu9ZWT2lDGRNSxwblfqvWfQENMGv6LOLMMZiORvJ22SqShqQwc2L3\nzysvLy9gz7O8sZLSfRVMGzKRBXPmeQ7uexqAWaOmHTcOr9HWsWx8+0sKW4/wvZmLAxKX146yfFr2\nOzBgwI2b4WNHMiZ5ZK+u8XlxHu/vX0sxZdx17o+63MwgkM80VLz1yWoMjQbmzZ5LWNsz+3flh5Rb\nq5kxY4bfB+iVBas5ctDzIbDUVsGFZ543IDGHIv2zGViD5XluOrwNDsLUIRO4afq1DIsbOtAhnbTB\n8kxPdXqOgdPdh5Gg9kTPnTuXjRs9C86qq6tpbm7mrLPOYuXKlQC8//77zJs3L5gh9as/rX+aX6/6\nk+/P2P3N2xNtCfO0J8RGeFohGuzBG3dXbfXMgx6ZmOU7ZsCTHA1P6Nng/8TIeKYNyWVfdREHqgO7\nGceWIzsBmJSeA0BZUwV3ffQwG4q39PgaZW095rsrCnhu278DGl8oq7HWEWeJ9SXQAGkxyVidNr9+\nfsBvMWyLSxN7RE7EO0b08nEXndIJtMipJKhJdHp6OhdffDGLFy/mBz/4AXfffTe33XYby5cv54Yb\nbqC+vp6rrroqmCH1m4KqQr6qKMDtdlPSUBaUe9qcLRgwEB7m6TGPaUuiG4M4M9o7Zs9iam9zuP/C\nn3LlhIuZ3rbIsCcuGbsA8FQkA2lL6Q7MJjNzhs0A4KP9a9lbdYD/Xf+3Hl/Du3FMnDmGlQWrWXVg\nPV+UfMmKPR8HNNZQU2Or9/VDe8WaYwCoP2aRZ5mSaJFe2d9WcBiVOHyAIxE5fQR9n+hvfetbfOtb\n3/I7tmzZsmCH0e/ezv/I93VpQzm5aTn9fk+7047FZPb9WdybRAdz4xXvhi/msPbFemOTs32LyHpq\n6pCJDIlJZV3xF/zHjG8RGW7pc2xHG8opbShnduZUUqISAahsqu71dSqtnpnXv5i3hAc++z/+lvcy\nTpcTgItGz9NCxS5YHZ5qc2Kk/8gt76YrdfYG0mJSfMfLOkyUaXEriRY5HrfbzYGaQ6RFJ/fLYmwR\n6Zp2LOyFiqYqPt6/9oRbah9trGBjyVZf4hesOc02p90vgYsMt2A0GGkKYjuHzdGWRJu6X3DXE0aD\nkXkjzsDR6uCLki8DERpbSj2tHDOGTiKuLXkrb67q8lyXy4Wz1dnla1XN1YSHhTM6aQQ/PusWWt2t\nvtfq7Zp57GVz2PjdZ0/w7t5PqLF5WpoSjplb6/09dKxEu9wuVaJFeqGyuZoGeyOjkkYMdCgipxUl\n0b3w0pfL+esXL7LvBHNt39nzMW63m2/lfh2gX2ced+QZ19aevBoMBmIiogakEm3pYxINMHf4LABW\nF33e6bV9VUU8+vnfyTuyo8fbhH9VsQ/wVLnjLZ7krbsPRI9v+gff+ff/YHPYOr1W3VxLcmQCBoOB\nqUMmsuSMm3yv1WnjEMDzXJ/64iW2lu7kvb2r+MPavwKQGOnfzhHnbefo8NxqrHU4XE5GxHt66JVE\nixzf/mpPP7RaOUSCS0l0D7ndbnaV7wU47mK3BnsjqwrXkxKVxMVjz8ViMlPaGJwk2tZq75S8xkbE\nDFBPdN9bGjLihpCblsOOsny/hX9OVytPbPwH6w59wYNrnuT/rfxNjxYG1tsbMGAgKTLB10bQnbUH\nNwHtG4R4OVod1NkbSG5rBwGYP3IOi6Z4evnrQrwSXVhT3KO/rHy4fw1rD3l2nixrquRwfSkGDJyR\nOd3vvDhLezuHl/f6IxI8Y+/6mkQ7Xa08uek5vijZ3qfriAxWB2o8/580WpVokaBSEt2FZVv+ycf7\n1/odK20oo9ZWD7T/B+tYbrebZ7f+i5ZWB5fmnI/JGMbQmDSONlZg7aKiGUhutxub0+6bzOEVExFF\nY0vzCVtQAsU7ZaGv7Rxe35v5bcKNprZNYzwfBtYf+oKShqOcOWwG80fO4WhDOY9uWIbLdfyKdIO9\nieiIKIxGIxGmCN+mL+BpH/HqeB3v79yrqm36SMckGvBVtuuOOT+UuN1ufv7Bb7ntnbuxOmzdPu8D\n1Qd5duu/iImIZtqQ9jnfv1rwP4xK8q+UxXfRzlHY9u/XuLZt4VtcLX2Ke8uRHawu/JyH1v6lT9cR\nGazy2/7Klt1hKpKI9D8l0cewOmysLFjNX7940e/4rvIC39eF3STRO8ryWXNwE2OTRnLxmPkAzB42\nFUerg3/tXNF/QQMOlxO3240l3D95jTFH43K7qGju/QK6k2Fv9SQ85rDALK7LiBvCNbmXUWur5/lt\nrwPtbRnfnHgJt865mVmZU2l1tVLfcvxtvBtamnxj/wC//kGX2+VLCsua2he1eUf2eR2qLQEgNSrZ\n73h7Eh26leiOHxBuev12nt32ry7Pe3776zhdTv7nzJuZNrR9IktX87h97RwdKtH72v40PSl9HND3\nSrT3L0gioai8qYr8yv3kpuX4FpOLSHAoiT5Gx8pjx+rtrvI9AMRb4iiuO0JLa+f/Y/f2Sl818Wu+\nMXPfGHcRiZHxfFy4rh+j7lABPmYHvey2HrnfrHqEVldrp/cFms0ZuJ5or8vHX8TIhGGsKlzPzrJ8\nDlQfJNxoYlh8BtCzKrDb7abR3khMRJTv2LH9g80OKwDFdUd8x7xJtNvt5rOijfxhnae398ws/7aE\neLOn1zeU2zmObW1ZWbDaN+6vo4O1JWTEpjN96CQy44b4jkeFR3Y6t6ue6P1VRcRGRDMkJhVzWESf\np3N8VeH5AJyTPKpP1xEZjNYUefZemD9izgBHInL6URJ9jFpb+8YoTQ7PFqput5tdFQUkWuI5O2sm\nrW4X+6qKfOe53C7eyv+Azw95drTpuKlIhCmCEfGZWB22fm3psPnaKPwrwN+c+DUmp4+nrKkyKAme\nva0nOpBj3kzGML436zsAvFewmkP1RxiZMMy3U2BC2+zh7qrAlc3VvPTlclrdLmLakjaAkQn+W017\nf9+H60t9x7xJdEFVIY9vfBaA3LQcX7+u1+nQzlHZxV8z7ln1v6wu/Nz3Aa3B3khjSxNDY9MAT49m\nuNHE18dd2OU1zSYzEWHhlDZW8N7eVSzb8k/KmioZnTQCg8GAJdzSp0p0i7OFg21/PehqZ0mRU5n3\nw314WDhzjvlgLyL9T0n0MWqs7UlQeaOn8nakoYw6Wz0T08b65j17K9PgaS94YfsbHKwrwWIy+2YQ\neyW29d7W2Pq+c2G1tZZ1hzZ36nEurvMkfqnR/m0GJmOYrxpY34dWg5L6o/znGz/hi5Lt7CzbwyPr\nn/YlzB21J9GBq0QDjEkaSbw5ls0l22l1tfq1YnirwMf2L3vdv/ox3sz/AMCvnWPMMYtwmlo8SfTe\nqrbT+u8AACAASURBVELfseq23SZX7vsUgMnp4/jezG93ukd7b2/oV6IjTRZunn4tl449j6rmGp7c\n9Bw/WXk/jfYmStsm0QyNTQc8s8qfv/pRFk/9ZpfXNBgMJFriKWus4Jmtr/o215mdOa3tXuY+JdGl\njeW48fy74nB1PbJQ5FS1r7qI0sZyzsic2uVfekSkfwV9s5XBrmMluqK5ilFJw309lblpOUxMHYsB\nA7vK93Jt23mFNcW+9yRa4v0WqQG+DSZqrHVktCUXJ6PGWscP3roTgLToFN8GJs5WJ7vb/mQ9MXVs\np/d13NDiZH24fw2NLU08tPYvxEZE09DSxIWj5/n6Vr18I+4C1BPtZTAYGJc6mk2HtwEwLqX9T/Pe\nKnB3SfSRDjtGdtyIICEynj9f/ltWFqzmzfwPaHJYcbpa2V2+l6ExaVQ2V1PTXEutrZ4NxVvIjBvC\nXQt+5NvMpiNTmIno8EhqQ7gnuqItif7NBT/x/bXl6+Mv5Jktr7K5ZDvbju7C2VaRzmirRAMYjcf/\nrP792YvYW3mAIbGpDIlJY0hMKtFtbTeRJgtVrpqTjrm0w3jJ7uZ+i5yqPi3aAMCCkWcOcCQipycl\n0cfomIh5K9G725LoiWk5xJijGZGQyd6qQhytDsLDwv3mRju7qHYl+ZLozv2jPeVsdfLHdU/5vt9X\nVcTY5GxqbfXc9dFDviphThc7AwZi0VvHzS+8c6fr7J2TVu+Iu4h+2LVvVOJwXxI9Z1j7ny7b2zk6\nx3NsxT72mIU3yVGJvg85TS3NFFQdwOa0M2XIBLaW7qTaVssnB9bhdDm5eMyCLhNoXxyRnopqx3aQ\nUOJNolOik3zHUqKSOH/UXDaXbOeNr9739ZMP7cWHxcnp45mcPr7L1yzhFhxuJy63q9OH057o+AFK\nlWgJJY5WB+sP5RFviev23x8R6V9q5zhGbYd2joqmKr9+6KExnupaTsoonC4nRbWHAdjX9uf/sUkj\n+a/ZN3S6predw9sacCyrw8au8r2+vuZWVyt/3vQ8v/vsCXaW5QOeiQd7qw74+nj31xzE5XLxfxuW\n+RLopMgELF1sj+3dFe5kk2iX28WeygMdrhfT7fXsTjvmsIiTSnhO5OysmcSaY7jtzP/0LdyE4/dE\nH9tCE9vFlrjeFe2fF2/h8Q3PAjB1yASSo5KotdXzfsGnWExm5o88/sKdK8YvpKXVwZ/WPx20kYLB\n4mh1UFxfSnREVKc/GydHetqXOi7IHNqhEt0XkW1tQd5/N3pLSbSEqq2lu2hs+f/snWdgW/XZvi/t\nYcl7xXslcfbeiyRAmWWVPUop8FKghQ5K25cOKLS8bf+dlA5a2kKBlgINKyEQIHuS6diJEzuO956y\n9vp/ONKxFNuxY0uWx7k+OfKRzs+KxnOe3/3ct5lVWYtQSHp/CYmIMKE70SZ7N4fri1mZtUjccg6U\ncxxrPEFtVwOdti5WZC0Uu5CT43P5kO2cbq2guOkUTeZW5k+ayXdWP9TneeK0PXKOvni39CPeKN6I\nRqFmXtpMnG4nB+uKAEEDfU3hpWw6/SkZ0ZP40bpv8MA73+VMWxVvlGykqLGUeZNmkh+fxbQ+pBwQ\nUGQOUc5RZ2qk22FmYfocChPzSTOm8LOdf+hTPiGkJoa+Cw2Qakzmr9f+vNftMeLf13s9fks6Pwa1\nodcx/qJwT/VBFHIF1xReyvy0WdSbmjnRfJp2WyeX5q8eUHN4Ue4yDtcXs6f6IHXGkYl6HyleObaB\nVks7l/qsGwM5dwbgllmfD/LgHg7+i0Kb035Bmk+v10u7tZOqjloUcgWx2mhJziExrvDPbixMnx3h\nlUhITFwmdBH9ytH/8knFbprMLXxhxpWAIOfQKjUszpjL9rP7ePXYBgBxoBBgss/v9t/H38XqtJGg\ni+P2Odf1ex5/QdGfnMNvExal1ovJe8lRCRg1BsrbKvnjgZfRKjV8c8X96FU6cuMyOdFcxhvF75Ok\nj+erS+8+rz+oPxVuqIOFpc3lAMxNncalBWvE7p6/8+v1esULDJvLHvKhwoHQKNVolRpRj3y2vYbE\nqDgM6qhe0opAizs/eXFZxGljmJyYyx1zrifVkATA6pzFvFq0AbfHzecmrxnUWtblLWdP9UGKukr5\nPJcP8y+LLJUdNWyt2MuUxFw2nvqEdGMqd/QxIBil1qOQK3B73ExNyOP66aH7u/VKoYi2ugbvbPNm\n8UY2nNgsepZnRk/C4/ViGsBHXEJiLNHi24FMNiRGeCUSEhOXCV1EV3YKXcq3T3zI5wsvZWflAWq7\nGkiMiueKyWvZfnYfn9UdA2BGcs8AXaoxmSiVDrPTyuT4HB5b+QCxPl1tX8RojciQ9evO4f+y/8nF\nj9Nl76bD1sWUhFz21hyivK0Sh9vJN5bfJ7psfK7gIk63nsWLl68vv29Ag/2ewcKh2a/5pRz+BLlY\nTY8G2e1x8/S236JRavjOqgexue3Eq/p/LsJFnC6GFnMrZa1n+d8tP2PupOl8d/XDoq79fMTrY/nT\nNc/2uj1GG82ts67B4rSQ6fOkHohZyYUk6OM4YRK01aH0yx5p/nLwX5S2lPP+KVDKlTyy7Mt9/j0y\nmUwMqrkQLfRg8HeiTfbBRdfvrznCv4+/S6w2mnlpM0kzJrM4fR5/OPCyJOeQGFc0W9pQyOTEa0Oz\n6yMhIXHhTOgi2m9pZnc7eOT9H9JqbUen1HLb7GvJi88mM3oS1V31qBUqsTsJQkT0jTOvorG7hdtn\nXzvgEJ1CriBGa+xXEx3orZyj7/EfXpw+l7dKNrE6ZwlLM+eLty/PWsD0pAKsLvugtKdapQaVQjVk\nTXRpSzk6lZbMaKGQ1Km0qORKOu0mNpdto7jpFAqZHJfH7ZNzjHzhODUxn60Ve/jV7hfw4uVwfTFV\nHbU0WYQi+tsrH+BQ3fGgHYXB8PnCSy7oeLlczpqcpbxVson9NUcG1FGPVrxeL1WdPVKYO+ZcR05c\nRv/H+2zkzo1DHy7+QdlNpz+lMCl/wON3V30GwPdWP0xOQASySq6U5BwSo5J2ayff//jn3DX3CyzO\nmDvo+7WY24jXxw3ofiMhIRE+xvW7719Fb/OLnX/qc8jL6XbSaG4hNy6TdGMqrdZ25k2ayf+7/Pui\n88NM38RzjMbYy5Xhiinr+NL8mwbtQhGvi6Xd2tHnWvy2cOcWnwZNFM9d9TQ3zby6131idTGDHt6S\nyWTEaoxD0kR32rqo725iSkKe+GEtk8mI0UbT2N3Cv4veBcDt9VDX1YDL4wqbJvp8zE0V4qWbLW2i\nV/Z7pR/T3N2CTqVlQdps7l90+4gM4FyUuwyATyt2h/1c4aK6sw6r00ZhYj5fXfIlLp+8dlD3UwcM\nfIaCJRnzmKRJYk/1QU4FDLf2R0N3MyqFKijwCEClUOL0uMbdwKfE2GdrxR6azK1iGupgcLqdtNs6\nSdLHD3ywhIRE2Bi3RfTZ9hr+W7KZ/bVHqO9u6vX7elMTXq+XvLhsfrju6/zgokf5zqoHSQz4ULp+\n+mXMSZ3OV5d+adjridPF4HA7xWjpQGwuBwq5IqyJanG6WDqsnRfcjTtXyuEnRmuk22HG6rKRFSMU\nLGfaq4DQRn4PltkphchkMhQyOd9d/RCTjMnsqNpPQ3czyVGJ57WmCzWphiSydJMobjoVZA04ljju\nCxNam7ucVTmLB3z+7lsgJEquyF4U0nXIZDLWJgrd/JePvnXeItjr9dLQ3UxqVGIvdxilXNh08ycr\nSkiMFjxez6CO67KZ+Nr7P+CVo//lFd+sTqDdpISExMgzbovoV479V9xi9vs8B1JragAgPTqFWG00\nM1Om9ioUYrTR/O+ar1KYVDDs9YiphX1IOhwuB5oQh5OcS2ZMmtAtDrD8GgwnW4ShwsKAcBPo0VlP\njs/hlllCp/xMm1BER0LOYdBEcdecG7hv4W1kRE/iqikX4/a4cXpcvVIcR4JZRkE2srVi74ifOxT4\n/y+nnvP/3h+XFKzi9Zv/QHIYnutMXSqL0+dS2lLO/toj/R5ncpixOK2kBEiv/Kh8RbSki5YYbfj9\n1+H8BfWWMztp6G7m7ZMfsvHUJwBBTR8JCYmRZ1wW0UWNJznaUEK6URjEK+6jiPYXCf4uarjxB660\n9eHQYXOHzxbOT7Zve7vyHMu3gShtKUcuk1NwTohLZkwaKrmSe31FK8AJX2riuYEmI8WVU9ezLm8F\nAGtylmD0+VmHo7AbiCmGHHRKLVvP7hGH7sYSZ9qr0Co1pIbI73m43DbnWhQyOa8c/W+/uyn+rn9q\nH0W0UiEV0RKjk4aA3apWS9/pnG6Pm4/Kd/S6PVRWkhISEkNj3BXRHq+Hfx59C4CHl95NjDaaow0n\n6LB28uOtv+HPB17B5rRxorkMuUzeZ8JfODifV7TdZUerCG/3NsvnLlHZOfgi2uVxc6a9ipzYjF4S\njZtnfZ7nr36G3LhMkqMSUcmV4mOPhg92tVLN5woEW7q+iqqwn1+uYnnWQlot7RQ1nRzx8w8Hm8tO\nramB3LjMsITmDIU0YwqX5K+mobuZD8u393lMg8lXRBv770T3lSgqIRFJAovo/tJOD9YVCT7t+at5\n7cbnePHaX3DX3BtYnb14pJYpISHRB6PjGzKE7K85QkV7NSuyFpIfn82VU9bR7TDz5NZfU9R4ki1n\ndvL4Rz+lvL2SvLisPhP+woEo5+jD5i6cASV+/B33Kl/K4mCwOK24Pe4+dXdKuUIMOZHL5SRH9XiV\njoYiGuDawku5Z/7NrMlZGpHz+8+7p+pgRM4/FGwuOz/Z9ju8Xi+5cVmRXk4QX5hxBTqVlv+e2Nyn\ntrnRLBQjfcs5hIFHyaFDYjRhdzmCdic3nvqkz9f25rKtAHxu8hoUcgUGTRRXTb14xL6/JCQk+mbc\nFdH+FKfLJl8EwFVTLybVkERtl6CBnp40mXpTE26Pm2kh0DoPlv7kHF6vF7s7/JpogyaKBH0c5e1V\ngx5k8UctD6ZLnmzokUwk6EdHEa1Wqrls8kXoIvRFMyUhF6M6iiMNJWNG0rGz8oCog5/eTwJmpIjW\nGlmVtZhOW1efEq0W31Z4X44FkpxDYjTi10Ovy13O/LRZHG04wT+OvBF0TE1XPUWNpUxPmjxov3oJ\nCYmRYdwV0d0OIZTB3yVVyhVBHstfW3YP31n1EHNTp7M+f+WIrStO17ecw+Vx4fF6RmQYb2byVEz2\nbs62D64bbfcX0YNY22jsREcauVzO7NRptFk7uOU/D1HWejbSSxqQI/XFADy28gEWpc+J8Gp6syJ7\nIQA7qw70+l2br4ju6/UnDhZKnWiJUUSHb2cyXh/LI0vvITMmjQ9Ob+XDsm3iMR+eFuRL/saQhITE\n6GEcFtFCgEpgvPPi9B4D+3hdLPPTZvK9NV8lLcTpaufDqDGglCtpMbcF3R4YtBJu5qROB+BIQ/Gg\njhc70SqpiB4qgYVo1QXo0SOBy+2iqPEkKYYkFqXPGVFbwMEyNTGfKJWO0y0VvX7XZu1Er9L1ucWt\nUkiaaInRR4cvACtGE41OpeXxVQ8SrTHw4qHXqe1qwOP1sKvqALHaaBaOwotaCYmJzrgros0OMzJk\n6FU68bb8+GxWZy/hS/Nuiti65DI5acYUakwNQXIKWz9BK+Fgduo0ZMg42nBiUMfbLqATnWLoKaIl\nnV4PyzIXcIUvqMTs6O0RPpoobT2D1WVjni+4ZjQil8mJ1cXQ1UdwUKu1vd8LOKVocecM6/okJC6E\nTlsXIPjug+AkdM/8W/B4PXxYtp26rkZMDjOzU6aFNUdAQkJiaIy7IrrbbiZKrQ9yFZDJZDy89G4u\nnzK41LVwkRWTht1lD/IFdfg60dowa6IBojUG8uKzONVS3mfoy7lcSBEd2ImW6EEmk7HYl4Bpdloi\nvJrzc9gn5Zg7afQW0QDRGiPdDkuQztzucmB2WPrV40tyDonRiD9FNtbn3gSwOGMucdoYtp3dy7FG\noeExmMh7CQmJkWf8FdEOS5CUYzThHwqp7qwTb7P5iujBxocPlzmp03F7PX0OZp2LXxOtucDBQolg\notTCrohllHeij9QXo5IrmZE8JdJLOS/RGgNevJgc3eJt/oHduH460ZKcQ8Jk76YpoIExGuiwCp3o\nWF8nGoQ5nuVZC7E4rbx7cgsAhYkjNwQvISExeMZFEW13OfhX0ds0m1vpdpgxRCjsYyCyfIEnVQFF\ntN3t7/aOTBE916eLPlpfMuCxF9KJ1qt0PLXuWzx31dPDW+A4JEolXNQNpvsfKVot7VR11jI9ecqI\n6POHQ7QvRKfL3lNE+0MqEnRxfd5HKSUWTngeeOe7PPzeE4N2JwoFHq+H0pbyfuPqO+1+OUd00O0z\nkgVnnFZrO0aNgbTokZvfkZCQGDzjooj+V9E7vFXyAX888DJOj2vUd6KDimiXoNEcTLc3FBQk5KJT\naTnacAFF9CAGC0HYcoxEOuBox6/PH81yDv/rYd4ol3KAIOeA4CLa34nuTxPt94mW5BwTE4fLIV5A\nhXtHqMtmEv3IPyzbzvc//gX7ag73eWyHrQu1QtWrUVEYYL+6KmvRqAk9kpCQCGZcvDN3V38GQKtF\n+CIdrZ3oJH08WqWGal/0dqulnV/u/jMwMu4cIGwVzkoupNHcQoOp6bzHXkgnWqJ/tCoNMmSjuhMt\n6qF9OxWjmZ5OdM9w4THfsGx6dGqf9/EPZUlyjolJeXul+HNfQ6mh4kTzae59+9u8ePh1ALad3Qv0\nvD7PpdNmIkYb3csJJ/A7bF3eijCtVkJCYriM+SK6xdwmei+bfJ2p0VpEy2QyMmPSqDM14nK7+Pfx\nd8VCNdxhK4HMneS3ujt/NzoSaxuPyGVy9CrtqHXn8Hg8HGs8QXJUApNG0PZxqERrfUW0TXi/d1g7\n2VX9GenG1H4DlPyaaKkTPTE50Vwm/twZpiL6jeL3+fHW3wKw/exeGkxNlLcJxfuJljKazK0cqisS\nj/d4PXTauog9R8rh58l13+D+hbeJMkAJCYnRx5gvogM9j02+oBWDZnTKOUCQdLi9HupMjaJjAIyM\nxZ2fmclTATjVcua8x0md6NChV+tHrZyj027C6rSRF589Kr2hzyVGlHOY8Hg9/OmzV3B73Fw+ZW2/\n65cs7iY2Fe3V4s+BMqBQ0Wnr4j/H3xelhCqFil1Vwg6pSq6ktquBb256imd3PC+GXXVYu3B7PcQF\nOHMEMi1pMhfnrwr5WiUkJELHOCiihW5qoC+0f5BrNJIVoIt2e9zi7SM57JIUlYBCJu9zUt3isIq3\n92iiJd/n4RKl0o1ad45OX+BDrKbvjthoI1AT/c7JjzhYV8SslKlcnNd/AqlKIWiiJTnHxMSfZAs9\nOxih5GBdEV68XD31EuZPmonZYeGTM7tQyZWitardLTgxHaoXutEnW4TueEFCTsjXIyEhMTKM6SLa\n7XFzvLGU5KgEpgfYco1WOQf0FNHVnXV0BGwrjqTPskKuIEEfF+RX7ee5/f/g25ufwel2Sp3oEKJX\n6bC6bEHexqMFv0Y0OsBmazTj10TvrDrAa0VvE6+L5ZGlX0Yu7//jTPKJntgEXsD6d15+su13bK3Y\nE5LH31t9CIBF6bNJ9gVPNVvamJc2k/mTZgUdu7vqIE3mVkqaTgMwPWlySNYgISEx8igHPmT0Ut5W\nicVpZXnWQpSynjSnScbkCK7q/GTF+G3uaumymVDI5Dx76XfJjs0Y0XUkRyVyvKmU14+/i7mrmznu\nOTg8Tg7XH8ftcdPtsIg+0VIRPXz0vm1ei8s66i7yOsXo4bFRRBs1BowagzgD8Y3l9w14ASBZ3E1s\nAqVUXXYTb5ZsFHcxL8pdNqzHrrTUcaShhCkJeaQak0k1JIm/W5m1iIKEHJRypbgLUtVZy8PvPYFC\nJkej1JAXnz2s80tISESOMV1E+2255qROEwc4ACYn5EZqSQMSrTUSozFS3VmH1+slVhcz4gU0CJIO\ngDeKNwJQUJ2PUqEQJSZmpwWb045MJgvSbksMjShVT+DKqCuifZ3omDHSiVbIFTyx5mu8WbyRxRlz\nmZKYN+B9pLCViY3ZaSVKrcfssFDaUk6VzyGp3Re7PVScbicfNu9CJpNxz/ybAEjxFdE6pZb5k2ai\nVqgoiM/mZEs5Dy6+C5fHxYHaoxQ1lrIobbYU5y0hMYYZ09XR0YYTyGVyZiZPFbdpLyu4aNQPR2XG\npHG8qRSAvLisiKwh6Rw/5zpTI03mFvHfFocVm9uBVqkZ9c/nWCBK9IoefbpoUc4xRjrRALlxmXxr\n5f8M+nhJzjFx8Xg9WJxW8uOyKWs7Kw4ZKuQKOnzOTkPl3dIttDk7uazgIrGjnBk9CRkylmbOF5No\nV2Yvot7UxNxJM4jVRnNx/iqcbqe4QyIhITE2GbPvYLPDwum2CqbE5xKl1rM8awHxulgKk/IjvbQB\nyQooos9NqhopEvXByW713U1BASwWpxWbyy5JOUKEX85hCoMzwHAR5RxjpBM9FPyDx6PZq1siPNhc\ndrxeL9FaI3qVDovTyrxJM7C5HJxsLsPtcaMYQje4qbuFN0s2EaXQccusz4u3JxsSeebib5MR4Fl+\nacEaLi1YE3R//7CrhITE2GXMDhYebyrF6/UyO3UaIHjxTk+ePCaSnfzJhRA5HWqCr4hOM6YgQ8bB\nuiLMDototWd2WqQiOoRkRE8Cgq22RguinGMMdaIvFKNvGHE0XsRIhBf/UKFBpSdBF4tSruRL824i\nTheDF694EXmhbDz9KU63k7WJS9CrdUG/K0jIkVyNJCQmAKO/4uyHo74EqDljIGHtXAI12+d++I4U\nM5On8rWl9/Dj9d/CqIwShwiXpM8FhE6/xWmViugQMdlnY3W6rSKyC+mDLpsJpVyJbhx/6WuVGlRy\nZVg8giVGN90OYahQr9bx4JIv8sSar5FqTBb9mf2R8ReKP/E1X58ZmoVKSEiMOcZwEV1ClEpH/hic\nbM6KTWdWihB40l9aVbiRyWSszF6EUWMgViV0ILVKDYszhCL6VEsFTrczqGsuMXQS9fHEaKMpaz0b\n6aX0otNuIkZjHNfad5lMFuToITFxsPicOaJUevLjs5meLFjKxemEz94O29B00c2WNnQqLVqF1GiQ\nkJiojNkiutncysyUwiFp2UYDj698kAcW3cml+asjvRRilEIRPSd1uqiLPVR/HIDCxNGvMR8LyGQy\nJsfn0GbtYOOpT3CNkgE3r9dLp61LjNIezxg1BrocUhE90fAP80ads+sX6+tEt1sv3KHD6/XSYm4j\nSZ8w8MESEhLjljFbRINgbTdWUSvVrMtbHjE5RyDxauHLZGHabDHt0Z/wNVUqokPGZZMvQqPU8PfD\n/+GRjT/kYF1RpJeEyd6Nw+0kQR8f6aWEnWhNFFanbdRcwEiMDGa/nOOcJNs4nfC5d7ShhPvefpwT\nzacv6DGtLhuJUeP/fSMhIdE/Y7qInj0G9dCjkbnRhfzPwttZlb34nPh0HekBE+YSw2N26jSeu/Ip\nrpyynnZbF7/Z89eg6PdI0GxpAyB5AhTRRrXQbZe60RMLSz+d6CTfa35/7RE6bV3sqTo06Mf0v2+S\nJsD7RkJiLOHxePnsRCMu98ikA4/ZIrowMZ/kKGkrLRRoFRrW569ELpcHdcbz4rPHhNvJWCJGG80X\n532B1TlLsLnsVHfWR3Q9/uj3xAnwXvL7YEu66ImFvxMdpQouolMMSUEzKadazwz6Mf3vmySpEy0h\nMar495ZTPPmXvbz56eB3lobDmPWJfnLdNyO9hHGJRqEWf86JQJLiRKEgPodPzuyirO0sOXGRe55b\n/B21CVAMGDVCUqRURI9v3B43Oyr3U2dqpMPaxYmWMqC3nEMmkzEtaTJ7qg8CUNlRg93lQKPs+Qy0\nOKzIZbJednX+902iPgHM4fxrJCQkLoSP9gvp1SfPto/I+cZsET2enQQiSeDzmhsnWTeFiwKfq0xZ\n21kuzl8ZsXU0myfOtrTfK7rLLlU94w2v18sfD/yT3LhMGrqb2Xjqk6Dfp0QlMsmY3Ot+gXI1t9fD\n9z56lhhtNDmxGdwx93q+//HPaTC38PVlX2Zh+hzx2BPNQmGeFZtGY3NdmP4qCQmJC8Ht8dLcLsi3\nFPKRqRHHbBEtEX5yYqUiOlxkxKShVqioaKuK6DomlpzDX0QPLVxDYvTidDv5tGI3n/ps2NOjU/mf\nhbcTq4shVhvdr9/9VVPWU2dqZGbyFDac2EyTpY3qrnqON5UyO3Ua1V2C3Opvh15nQdpsZDIZDpeD\nI/XFTDImk25MpRGpiJaQGA1U1PbYVTa0jkyzRCqiJfqlr86NRGhQyhXEaWPEtMBI0WxpQ6NQY1RH\nRXQdI4Hf0qzO1BjhlUiEGrvbEfTvW2ddQ2FSwYD306t1PLrsywBcnL8KgK0Ve3h+/0u8f+pj8bhm\nSxsV7dXkxWfxWd0x7G4Hi9PnSjuiEhKjiMqGHrvKhjYLXq837O/RES2ii4uLefDBB8nOzsbr9TJ1\n6lTuvfdeHnvsMbxeL0lJSfzsZz9DpVKN5LIkzuH3Vz2NzWUfsx7cYwW9Skd9d1NE19Bm7SBBHzch\nioEpCblEqfXsqz7M3XNvRC6XhmbHC+cW0XMnzRjyY01PngL0pOKuzlnC9rP72F97hOSoBP5++D8o\n5ArW5C4d+oIlJCRCTl2L0H026lWYLE46THbiooefxOvxePv93Yh+i1gsFi677DJeeuklXn75ZZ54\n4gl+85vfcOedd/LPf/6TtLQ03nzzzZFckkQfJEUlSEmFI4BOpcXmsuPxjIwVz7m4PW667WZiIpSa\nOdIoFUqWZcyn3dZJSfOpSC9HIoQ4XD1F9Nrc5agVQ2/EJEclBM0IXDftMlQKFftrjvBZ3TE6bF1c\nN+1zZERPGtaaJSQkQktdszA0Pm+qsIvuL6qHQ7vJxh0/3NTv70e0iDabzXi9wRX9/v37Wbt2LQDr\n169n9+7dI7kkCYmI4ffktrpsETl/l70bL14xpXIisDJ7EQA7Kw9EeCUSocTudgJwUe4y7lt4ms3H\nJgAAIABJREFU27Af74YZVwKQqI8nzZjCnNTp1HTVs7/mCACzU6SMAgmJ0UZdixm1Us6SGcLA8Kbd\nZ4f9mEVlLZgszn5/P+Kd6IMHD3Lfffdx5513sm/fPmw2myjfSEpKorm5eSSXJCERMfxFtD8MYqTp\ntAn6sVjNxOhEAxQmFRCvi2VvzWEc7v4/GCXGFnZfJzpOG4MyBDK0dXnLef6qZ3hq3TeRyWQs9jlz\nfFZ3DIAMKYRKQmJU4fV6qW8xMykxihVz0inIjGXb4RqOnhpeTXnibNt5fz+imujCwkIefvhh1q5d\ny9mzZ/nSl76Ey9UTwXshIvCDBw+Ga5kTEun5DD0DPafdHcJQ4cGjh0jSjLzF3BlzDQDmNtOo//8P\n5foKNJnstxbx5s53mGLICdnjjiVG+//3hVJhEV7LLY3NIf/bKqlA6fYgQ4YXL1EKHaXHTwYdM96e\nz9GA9JyGhonwPDZ3Otla1IXV7kKndHLk8CHWzVBTXgO/enU/X7kiBaWid21psrqJ0sqRn6fuPFTS\nyPnGZ0a0iM7LyyMvLw+AnJwcEhMTOX78OA6HA7VaTWNjI0lJSYN6rAULFoRzqROKgwcPSs9niBnM\nc3rqWA2HOkvImZw7KCeBUNNd4YR6mJ5XyIL80fv/H+rXZ3x7Mvs/LKJe2catC24I2eOOFcbj+91d\no4A6yM3KZcHU8Pxtn1oOUNRYSm5CVtDzNx6fz0gjPaehYbw/j7XN3by86QS7jzXiVwqvXFDAggX5\nLADqTMd4b1cFxxu0fPHK6SgVPdXwodImfvXaHr5ywxwuW5bT5+NbbE4a/7WJyZlx/a5hROUcb775\nJi+//DIAzc3NtLa2cv311/PBBx8AsHnzZlatWjWSS5KQiBg6XwqaxRkZTXSnXZBzTJTBQj85sRmk\nG1M5WHdMjISWGNs4fO4cgYmroWZR+lwAaaDQR2Obhe//aTf1IRjeGgmcLjdvby/HancNfLDEqMfj\n8fLDP+9h19E68tNj+N7di3j1x5dzzep88Zg7Lp9GnFHDhm3l3PnDD9iwTQhJcnu8vPjOcTxeOFvf\n1d8p+HBfFW6Pl0XTU/o9ZkSL6EsuuYQdO3Zwxx138PDDD/Pkk0/y6KOPsmHDBu644w66urq47rrr\nRnJJEhIRI9Ka6A6bICeJnWBFtEwmY03uUpweF/848kaklyMRAvya6MDI7lCzOnsJq7OXsC5vedjO\nMZbYX9zAkVPNfPzZwIFR5TUdfPt3O4J8fEealzae4C9vH+ePbx2L2BokQseJs200tllYMy+DXz66\nhmWz0jDqg9//UToVP/jyUtYuyEAul/HXd4o5ebaNjw9UUdkgfP+1dfXdxPJ6vbyzoxyNWsHly3L7\nXceIyjmio6P585//3Ov2F198cSSXISExKtD7OtHWSHWibf5O9MRx5/Bz5ZR17K0+xNaKPcxMnsrq\nnCWRXpLEMPD7RIeziNardTy89O6wPf5Yo90kfG6VnDn/4JXT5eHRX20D4MO9ldx37aywr60vztYJ\nn3e1Td0ROb9EaNl+WJiDWLco87yzdAWZsXzjtgWUVLTy+HM7+dOGIto6bahVClxuD+1dNtweL60d\nVpLj9eL96lvMNLdbWT03neio/j9XpLQBCYkIEapOdHVnHW+VbMLjvTC/6Q6bEJE60eQcACqFikeX\n34tOqeUvB1/DFqELGYnQ4HdaCaecQyKY1k7hPVNa1Y7T1f9nz4GSBvHn2ubIFbB2pxsAtUoKERsP\nfHaiEYNOxZyCxEEdPz03gWWzJlFW3UFbl41r1+QTZ9TQZrKzYWsZX37mIw6VCuFnTpdHdOWYnNW/\nHhqkIlpCImKEoohu6G7myU9/xb+K3uFse/Wg7uN0O3nx0L8paiwlJSpxWMEUY5lUQxJrc5dhc9mp\n6qyL9HIkhoFfzqGWiugRw78N7nC6OVPb0e9xR0/3WIyV1XT0yooYKRwufxEtlT1jifYuG999ficH\nTzaKtzW2WWhqtzIzPwGFYvD/nzetF9JIYwxqblhbQFy0lvYuG39/vwSAP755jJ/8fT+3fX8jv/7X\nYQAmZ8ae9zGlV5OERITQDVPO0WUz8dNtz9FlF7o7JsfAAz5N3S384OP/xwent5IRPYnHVz04pHOP\nF7JiMwCkInqE8Hq9dNlMlLWe5bPaYyGbBxgJOYdEDxabM0hLWnweSUdReQsatYIlM1Lp7HbQ3D78\n//PzxTD3h8PXiVYppbJnLLG3uIHj5a3830sHqPQNAR4vbwFgVv7gutB+CjJj+fqt8/ne3YvRa1XE\nG7VBuyj1rWb2FNUHuXjkp8ec9zFHVBMtISHRw3A60Q63k//b+Qfqu5uYZEym3tSE2WHhlaP/pdXS\nzteW3dPrPpUdNfzok19idlpZk7OULy+4Ba1SM+y/YyyT5Yu3r+qsjfBKxg4mezfVnXVMT55ywfd9\nauuvKW7qiVy/asp67pr3hWGvyR/7Lck5wk9jm4V7n/kIAKNehcnipKSilevX9rbpbOuyUd3Yzbwp\nSczMT2BfcQP/3nKKvLRoztR1UVHXybSc+AvSSZ+ubuepv+7jsqU53H5Z4aDv53AKxZLd4R70fSQi\nz0mfrMJqd/P03/bx/x5Zw7EyXxE9SClHIOsWZoo/x0X3fP9df1EBqYlRzMpPINao5fbvb2Rqdjxa\nzfnLZKmIlpCIEKLF3RBiv481nOB0awXLMhewKH02v937N7odZt4++SEADy75Yq/ktt1VBzE7rdw5\n5wauLrx4+H/AOCAzJg0ZMqqlTvSg+fqmJ+myd/P8Vc+QGDX4kCCv18uJ5jJiNEZWZC/io/IdFDWV\n9nvsOyc/IkEfJ0a1nw+b2w6AWupEh51A6UZ+eix1Ld2UVLSJYWl2pxsZgvb4vZ1nAFgyI5W1CzP5\nYM9ZPtxXGfR4FXVdfOnqGUHdv/5wuz089Zd9dHTbeX1LKbd9buqgA9q6rYJu3myTkkrHEifPtqHX\nKrlyRS7/+fg0//fSAcprO4mP1pKdOrx5nvhorfjzNWvyg/798pOXo5AP/NqSimgJiQihVwqd6GZz\nKx6vB7ls8NuMfmeNBWmzMKijAKhorwn6fYI+eCCi1dIOwOKMOcNa93hCo1STYkikqkPqRA+GbrtZ\nlA+1WNovqIi2uex4vB7y47O5e96NnG2v5kRzGWaHhSh1z1T8f46/xzulW7C7hMJ4edaCAd8bDpd/\nsHBi6vtHEperR0qhVimYnpvA1kM11DR1k5Fs4Ou/2oZOo+BH9y3jvZ0VxBo1XLwkG41KwQ++vJQt\nB6rISDaSnx7Dm5+e5tODNdS3mMlMGdglqK3LTke38LrweKG8tpOCjPNrVkGQcpj9RbRV8okeK3R2\n26lrMTNvShJ3XDaNqgYT+4qFQdWLF2UhH0SRez48Afr8wAIaOK8jRyCSOEhCIkLI5XLmT5pJZUcN\nG099ckH39eufDWq9WIAcb+yJIm6z9h70abUKRXS8buAvnYlEiiERk8MsSgIkBDweD3/Y/zKH64+L\nt31Yvl382e/u4sftcZ93aMzsFIJt9L7Xa2FSAV68lLaUi8fUm5p4o3ijWEADg7rAsY9A2IqEQJel\n533S0GZmeq5wIVVS0cqxshaqG02cqurgH++XYLW7uGFtARqfI0ZakoG7rpjOuoWZZE+KJs+nNx2s\nf3RLhyB981uR7S9u6PO4irpOTle3i//uMPW8nqRO9NihqlHwci7IjEUul/GN2+aTlSpcbK2Znz7s\nx1+3IJPMFCM//9rQQ/6kIlpCIoJ8ZfGdABxtKBnU8Z22Lh569395q2QTAAZ1FFE+bXWjuUU8rt3a\nU+C0WNp4/MOfUNx0ihhtNCqpWxeEv5PfLaUXBlFrauDTit38dPvvabd28ufPXuVfRe+Iv6/qrKPF\nIugVzQ4L97/zHV468ma/j2dxCAWQ//U6PWkyACeay8Rj3izeiBcvDy6+i/sX3gbAsYCLQxA02ftr\njuBy93QU/YmFkjtH+OkOKKLvuXoG0/MSAHhnxxle2FAk/m7z3kpiDZp+I5UBsnzb8ZX1pkGdu7lD\neI9etjQbtVLO9sO1fV64/eTv+/nfP+wS1+q34wOwWKUieqzQ2Cr8f6fEC5/Req2Kn3xlBU/dv+y8\nUdyDJS3JwPPfXkdh9uB31M5FKqIlJCKIv6jttg+ugNtSvpNmSxs2X6fOoIkK2gr3E9iJ3njqUyp8\n9neJuuF/8Iw3eorosRFfPFKY7D3Px0PvPcGW8h2kG1O5d8GtALxR/D7f2PQUjd3NlLWdxWTv5v1T\nH7On+mCfhY3/IsX/ep2SkItcJuekr4iu62pgR9V+smLSWZ2zhAVpswE42lAsPka9qYnHNj/DL3b9\nicc/+qn4PrC7HKjkSuRy6Sst3Pg70b96dA0LClPITBY6g1UNJiobTCTH6cRjr7soH626f9Votq+r\neKGd6KwUI4tnpFLb3E1ZTc9nXbvJxv6SBhpaLVjtbj7YK+ivdx7r2c1wuDw4XcMbLiyr7qCxTbro\nDjf+5zglvuc1FWPQMG9qcqSW1AvpE0dCIsIY1VGYHIMLIShpPhX0b4M6iihfERhIYBEdqCdNiJKK\n6HPxF9GDsQicSHTZe7qDBrWe+xfexi8ue4LZKT2OCDaXnef3vyRepAH8avdf2Fy2Da/Xy6vHNvDY\nB09jdzmw+OQcUSqhiNaqtOTGZlLaeoYPTm/l1aK38Xq9fGHGFchlcuJ0MeTHZ1PcdFrUYW86/Slt\n1g7So1Op7qzjeKMwmGh3O6ShwhGi2yJ0co0+zahcLiNnktBRvu3Sqfzh8fWolXKio9Rcsbz/uGQQ\ndKixBg0lFa243AOHRfnt8RJjdaz1uSz8c9NJ0fLuJ3/bz4//uk88/t0dZ+gyO/hoXyUJMVqWzEgF\nhq6L3n64hk27K/j6r7eJDiUSg8Pt9lywR3hjm/CZ7O9Ej0akIlpCIsIIRfTABZzVaaOk6XTQbQaV\nHqVcgUoudHtiNEJnJ1DOEVhQG9WGUCx5XGHUBHeiXR43rx9/l8qOmvPdbdzj70TfMP0KfnvlU1yc\nvwqFXEHsOQmXJ5rL2HBiMwC3zb4WgF1Vn/G3Q6+z4cRmKjtraTK3YPbLOdQ9XaXCJMEW7cVD/2Z/\nzRGyY9JZnDFX/P2yzPl4vB4+KtuOy+3iUF0ROpWWL869EYASn12ew+WQ9NAjRJdZ6EQb9T2ysK/f\nOp+7rpjGTRdPQe0bIPzhvUsHtAeTyWSsnJtGZ7eDQyebBjx3s68TnRSnZ2FhCvOnJnOotIn3dgku\nICcre3TQeekxtHXZeO4/R7Da3VyyOFscFhuKLrq108qvXjvM828eE2/r7Laf5x4SfrqtTh76+af8\n38ufXdD9GtssyGWQFLC7MdqQimgJiQhj0ERhddpwec6/xXimvQp3QLS3XqUTt6+dHqGz4i9KAgvn\npu4erXSnfXDaw4mEKOfwFY2fntnNG8Ub+X+7/tzr2A0nNvPznX+MWOraSOLvRBcm5Qf5iWtVPVPs\nV0xZR4zGiMVpRafS8vnCSyhMzKe0pZwPyraKx1mdtp7BQlXPF+LijDlBFmU3zrwqaOdkaeYCVHIl\n/z7+Ll/e8BhN5lbmpExnWlIBSrmSww3FfFy+ky57t1REjxDdFgcKuQxdQIGclx7DjeuniOlxc6Yk\nMWWAuGQ/6xdmAfDJwYETV5s7rKhVCox6FXK5jEdumUd0lJq/v1dC8ZnWoGMfvWUechnsKaoHYN7U\nJKJ0QuFvHoIu+o2PT/fqlh851dzP0cHY7C5+9MIe9h6vv+Dzjgde2FBEbXM3u47W4Q4IyukyO3hn\nR3m/sfFNbRYSYnWDsj+MFKN3ZRISEwR/EWfuoxvd5Qu2AChvOxv0u778UbNi0ohS62k293yhNPkG\nDjUKNTdMvzxUyx43GHwaXb9m91C9MBzVVwjOjsr9HKg9isk+OPnNcGm3duLxDrzNHQ78EopoTf/W\nYzOSp3CfbwAwLy4LuUwudpKzYzO4csp6ACxOG+ZzNNEA05Im89oXnuOfN/yGn17ynaAuNEByVAI/\nXv8YV0xeK95vZfYiNEo1kxNyqO1q4E+fvYLVZSPFcOHBCxL909+FosniwBilHrQ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EAAAg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\nUd/XAAAAAElFTkSuQmCC\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# american['Adj. Close'].plot(label='American Airlines',figsize=(12,8))\n", + "# united['Adj. Close'].plot(label='United Airlines')\n", + "american['close_price'].plot(label='American Airlines',figsize=(12,8))\n", + "united['close_price'].plot(label='United Airlines')\n", + "plt.legend()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Dispersion et Corrélation" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 1. , 0.91653673],\n", + " [ 0.91653673, 1. ]])" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# np.corrcoef(american['Adj. Close'],united['Adj. Close'])\n", + "np.corrcoef(american['close_price'],united['close_price'])" + ] + }, + { + "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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KOQhJALvDu7EwhkH0pkvmQMQAZpsLX7mmClsfvBy3X1MFAPj4YFvAsUfqevGzv36Gx149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\nFmvXru13+/XXX4/rr78+WssgIiKiUUoxaNDU5hs7FxhqPV4Rbo8X6j6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OfJtep0aXrX8l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WHCBDz33HMAgPnz5yM1NRUdHR1obW1FYWEh5s2bh507d8ZqyXFtsNfPlpYWAL7XT51OhxMnTgAA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\nGo2G7du30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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# spread = american['Adj. Close'] - united['Adj. Close']\n", + "spread = american['close_price'] - united['close_price']\n", + "spread.plot(label='Spread',figsize=(12,8))\n", + "plt.axhline(spread.mean(),c='r')\n", + "plt.legend()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Normaliser avec un z-score" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [], + "source": [ + "def zscore(stocks):\n", + " return (stocks - stocks.mean()) / np.std(stocks)" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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XCfbxojpsrZJBc3M4nHzwbS6GCB2XLhgJwIol4/jp1dP44x3nMyw9ltkT1eDF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\nf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qChsYlQm+Wk+w5X1WEwQERIBy6CPvroIwIDA1m4cCEFBQXMmjWLxYsXe+6vq6tj/vz5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\nEelUVASJiIiIiEin8v8DqMmuWlr6QbYAAAAASUVORK5CYII=\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "zscore(spread).plot(figsize=(14,8))\n", + "plt.axhline(zscore(spread).mean(), color='black')\n", + "plt.axhline(1.0, c='r', ls='--')\n", + "plt.axhline(-1.0, c='g', ls='--')\n", + "plt.legend(['Spread z-score', 'Mean', '+1', '-1']);" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Rolling Z-Score\n", + "\n", + "Notre écart est actuellement American-United. Décidons de la façon de calculer ce spread sur une base continue pour notre utilisation en Quantopian" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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i3T3RYqAgOp2SIIrkiXbSTJ3o4f4ssmmJlGgOt0RNVlTfSzXxu7Ab6ktuw5Uo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\nvYDepry8XJzxKgQcT09PcbPVtWvXYDQaodVqERUVhXnz5sFsN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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Moyenne mobile sur 1 jour de l'écart de prix\n", + "spread_mavg1 = spread.rolling(1).mean()\n", + "\n", + "# Moyenne mobile sur 30 jours de l'écart de prix\n", + "spread_mavg30 = spread.rolling(30).mean()\n", + "\n", + "# Prendre un écart-type mobile de 30 jours\n", + "std_30 = spread.rolling(30).std()\n", + "\n", + "# Calculer le z score pour chaque jour\n", + "zscore_30_1 = (spread_mavg1 - spread_mavg30)/std_30\n", + "\n", + "\n", + "\n", + "zscore_30_1.plot(figsize=(12,8),label='Rolling 30 day Z score')\n", + "plt.axhline(0, color='black')\n", + "plt.axhline(1.0, color='red', linestyle='--');" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Implémentation de la Stratégie sur l'IDE Quantopian\n", + "\n", + "#### AVERTISSEMENT : VOUS NE DEVEZ PAS FAIRE DE TRADING AVEC ÇA !" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + " \n", + "def initialize(context):\n", + " \"\"\"\n", + " Appelé une fois au début de l'algorithme.\n", + " \"\"\" \n", + " \n", + " # Chaque jour, nous vérifions le status de la paire\n", + " schedule_function(check_pairs, date_rules.every_day(), time_rules.market_close(minutes=60))\n", + " \n", + " # Nos 2 compagnies aériennes\n", + " context.aa = sid(45971) #aal\n", + " context.ual = sid(28051) #ual \n", + " \n", + " # Flags pour nous dire si on est dans une position de Trading\n", + " context.long_on_spread = False\n", + " context.shorting_spread = False\n", + "\n", + "\n", + "def check_pairs(context, data):\n", + " \n", + " # Par commodité\n", + " aa = context.aa\n", + " ual = context.ual\n", + " \n", + " # Obtenir l'historique des prix\n", + " prices = data.history([aa, ual], \"price\", 30, '1d')\n", + " \n", + " \n", + " # Nécessité d'utiliser .iloc[-1 :] pour obtenir un dataframe au lieu de séries\n", + " short_prices = prices.iloc[-1:]\n", + " \n", + " # Obtenir la moyenne mobile longue sur 30 jours\n", + " mavg_30 = np.mean(prices[aa] - prices[ual])\n", + " \n", + " # Obtenez l'écart-type' de la fenêtre de 30 jours\n", + " std_30 = np.std(prices[aa] - prices[ual])\n", + " \n", + " # Obtenir la moyenne mobile courte sur 30 jours\n", + " mavg_1 = np.mean(short_prices[aa] - short_prices[ual])\n", + " \n", + " # Calculer le z-score\n", + " if std_30 > 0:\n", + " zscore = (mavg_1 - mavg_30)/std_30\n", + " \n", + " # Nos 2 cas d'entrée\n", + " if zscore > 0.5 and not context.shorting_spread:\n", + " # spread = aa - ual\n", + " order_target_percent(aa, -0.5) # short top\n", + " order_target_percent(ual, 0.5) # long bottom\n", + " context.shorting_spread = True\n", + " context.long_on_spread = False\n", + " \n", + " elif zscore < -0.5 and not context.long_on_spread:\n", + " # spread = aa - ual\n", + " order_target_percent(aa, 0.5) # long top\n", + " order_target_percent(ual, -0.5) # short bottom\n", + " context.shorting_spread = False\n", + " context.long_on_spread = True\n", + " \n", + " # Notre cas de sortie\n", + " elif abs(zscore) < 0.1:\n", + " order_target_percent(aa, 0)\n", + " order_target_percent(ual, 0)\n", + " context.shorting_spread = False\n", + " context.long_on_spread = False\n", + " \n", + " record('zscore', zscore)" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3.5", + "language": "python", + "name": "py35" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.7.5" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} diff --git a/10-Plateforme-Quantopian/04-Exercice-Algorithme-Trading.ipynb b/10-Plateforme-Quantopian/04-Exercice-Algorithme-Trading.ipynb new file mode 100644 index 0000000..a410f64 --- /dev/null +++ b/10-Plateforme-Quantopian/04-Exercice-Algorithme-Trading.ipynb @@ -0,0 +1,45 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Exercice Algorithme Trading\n", + "**Il s'agit d'un exercice extrêmement ouvert et il existe de nombreuses façons de le faire ! N'hésitez pas à passer directement aux solutions pour le traiter comme un exemple de code. Si vous tentez l'exercice, ne vous attendez pas à ce que l'exemple de solution corresponde exactement à votre solution. Vous avez peut-être obtenu de bien meilleurs résultats (ou de bien moins bons résultats !) !**\n", + "\n", + "## Votre Tâche\n", + "\n", + "Votre responsable veut savoir si [les Bandes de Bollinger](https://fr.wikipedia.org/wiki/Bandes_de_Bollinger) sont toujours une stratégie d'analyse technique significative à eux seuls. Pour cet exercice, vous allez tester sur l'action *Johnson et Johnson* sid(4151). Plus précisément, votre gestionnaire a décidé qu'il veut que 100 % du portefeuille soit en position longue lorsque le prix de l'action est inférieur à 2 fois l'écart-type glissant sur 20 jours soustrait de la moyenne mobile sur 20 jours, et qu'il soit en position courte à 100 % du portefeuille sur cette action lorsque le prix actuel est supérieur à 2 fois l'écart-type glissant sur 20 jours ajouté à la moyenne mobile sur 20 jours. La vérification de cet événement signal ne doit avoir lieu qu'une fois par jour. C'est probablement une stratégie très déraisonnable, mais le point essentiel est d'exercer votre capacité à écrire des algorithmes de backtest avec Quantopian.\n", + "\n", + "## Fenêtre de Temps\n", + "\n", + "Vous devriez utiliser le calendrier suivant pour cet exercice (afin d'avoir au moins une comparaison raisonnable avec les solutions, mais n'hésitez pas à vous amuser avec ça !) - N'oubliez pas, peu importe les dates, on est en phase d'apprentissage :)\n", + "\n", + "#### BACKTEST START: Jul-20-2014\n", + "#### BACKTEST END: Jul-20-2017" + ] + } + ], + "metadata": { + "anaconda-cloud": {}, + "kernelspec": { + "display_name": "Python 3.5", + "language": "python", + "name": "py35" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.5.9" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} \ No newline at end of file diff --git a/10-Plateforme-Quantopian/05-Solutions-Exercice-Algorithme-Trading.ipynb b/10-Plateforme-Quantopian/05-Solutions-Exercice-Algorithme-Trading.ipynb new file mode 100644 index 0000000..4de233c --- /dev/null +++ b/10-Plateforme-Quantopian/05-Solutions-Exercice-Algorithme-Trading.ipynb @@ -0,0 +1,93 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Solutions Exercice Algorithme Trading\n", + "\n", + "**Il s'agit d'un exercice extrêmement ouvert et il existe de nombreuses façons de le faire ! N'hésitez pas à passer directement aux solutions pour le traiter comme un exemple de code. Si vous tentez l'exercice, ne vous attendez pas à ce que l'exemple de solution corresponde exactement à votre solution. Vous avez peut-être obtenu de bien meilleurs résultats (ou de bien moins bons résultats) !**\n", + "\n", + "## Votre Tâche\n", + "\n", + "Votre responsable veut savoir si [les Bandes de Bollinger](https://fr.wikipedia.org/wiki/Bandes_de_Bollinger) sont toujours une stratégie d'analyse technique significative à eux seuls. Pour cet exercice, vous allez tester l'action *Johnson and Johnson* sid(4151). Plus précisément, votre gestionnaire a décidé qu'il veut que 100 % du portefeuille soit en position longue lorsque le prix de l'action est inférieur à 2 fois l'écart-type glissant sur 20 jours soustrait de la moyenne mobile sur 20 jours, et qu'il soit en position courte à 100 % du portefeuille sur cette action lorsque le prix actuel est supérieur à 2 fois l'écart-type glissant sur 20 jours ajouté à la moyenne mobile sur 20 jours. La vérification de cet événement signal ne doit avoir lieu qu'une fois par jour. C'est probablement une stratégie très déraisonnable, mais le point essentiel est d'exercer votre capacité à écrire des algorithmes de backtest avec Quantopian.\n", + "\n", + "## Fenêtre de Temps\n", + "\n", + "Vous devriez utiliser le calendrier suivant pour cet exercice (afin d'avoir au moins une comparaison raisonnable avec les solutions, mais n'hésitez pas à vous amuser avec ça !) - N'oubliez pas, peu importe les dates, on est en phase d'apprentissage :)\n", + "\n", + "#### BACKTEST START: Jul-20-2014\n", + "#### BACKTEST END: Jul-20-2017" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# Définir nos variables\n", + "def initialize(context):\n", + " context.jj = sid(4151)\n", + "\n", + " schedule_function(check_bands,date_rules.every_day())\n", + " \n", + "def check_bands(context, data):\n", + " \n", + " cur_price = data.current(context.jj,'price')\n", + " \n", + " # Charger les données historiques pour les actions\n", + " prices = data.history(context.jj,'price', 20 , '1d')\n", + " \n", + " avg = prices.mean()\n", + " std = prices.std()\n", + " lower_band = avg - 2*std\n", + " upper_band = avg + 2*std\n", + " \n", + " if cur_price <= lower_band:\n", + " order_target_percent(context.jj, 1.0)\n", + " print('Achat')\n", + " print('Le prix actuel est: ' + str(cur_price))\n", + " print(\"La bande inférieure est: \"+str(lower_band))\n", + " \n", + " \n", + " elif cur_price >= upper_band:\n", + " order_target_percent(context.jj, -1.0)\n", + " print('Vente à découvert')\n", + " print('Le prix actuel est: ' + str(cur_price))\n", + " print(\"La bande supérieur est: \"+str(upper_band))\n", + " else:\n", + " pass\n", + " \n", + " record(upper=upper_band,\n", + " lower=lower_band,\n", + " mvag_20=avg,\n", + " price=cur_price)" + ] + } + ], + "metadata": { + "anaconda-cloud": {}, + "kernelspec": { + "display_name": "Python 3.5", + "language": "python", + "name": "py35" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.5.9" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} \ No newline at end of file diff --git a/10-Plateforme-Quantopian/06-Pipelines.ipynb b/10-Plateforme-Quantopian/06-Pipelines.ipynb new file mode 100644 index 0000000..ecf25ef --- /dev/null +++ b/10-Plateforme-Quantopian/06-Pipelines.ipynb @@ -0,0 +1,2440 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Pipeline\n", + "\n", + "Ce notebook est tiré du Guide Officiel de Quantopian sur les pipelines. N'oubliez pas de consulter leur documentation pour obtenir de nombreuses autres ressources intéressantes !\n", + "\n", + "De nombreux algorithmes de Trading ont la structure suivante :\n", + "\n", + "1. Pour chaque actif d'un ensemble connu (important), calculer N valeurs scalaires pour l'actif sur la base d'une fenêtre de données.\n", + "2. Sélectionnez un ensemble d'actifs négociables plus petit sur la base des valeurs calculées en (1).\n", + "3. Calculer les pondérations de portefeuille souhaitées sur l'ensemble des actifs sélectionnés en (2).\n", + "4. Passer des ordres pour déplacer les allocations de portefeuille actuelles de l'algorithme vers les pondérations souhaitées calculées en (3).\n", + "\n", + "Il y a plusieurs défis techniques à relever pour réaliser cette opération de manière robuste. Il s'agit notamment de :\n", + "\n", + "* Interroger efficacement de grands ensembles d'actifs\n", + "* effectuer des calculs sur de grands ensembles d'actifs\n", + "* traitement des ajustements (fractionnements et dividendes)\n", + "* les radiations d'actifs\n", + "\n", + "Le pipeline existe pour résoudre ces défis en fournissant une API uniforme pour exprimer les calculs sur une collection diverse d'ensembles de données." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Facteurs\n", + "Un facteur est une fonction d'un actif et d'un moment dans le temps à une valeur numérique.\n", + "\n", + "Un exemple simple de facteur est le prix le plus récent d'un titre. Pour un titre et un moment précis, le prix le plus récent est un nombre. Un autre exemple est le volume moyen des transactions sur 10 jours d'un titre. Les facteurs sont le plus souvent utilisés pour attribuer des valeurs aux titres, qui peuvent ensuite être utilisées de plusieurs façons. Un facteur peut être utilisé dans chacune des procédures suivantes :\n", + "* calcul des pondérations cibles\n", + "* générer un signal alpha\n", + "* construire d'autres facteurs plus complexes\n", + "* construction de filtres" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Filtres\n", + "Un filtre est une fonction allant d'un actif et d'un moment dans le temps à un booléen.\n", + "Un exemple de filtre est une fonction indiquant si le prix d'un titre est inférieur à 10 $. En fonction d'un titre et d'un moment dans le temps, cela permet d'évaluer si le titre est vrai ou faux. Les filtres sont le plus souvent utilisés pour décrire des ensembles d'actifs à inclure ou à exclure dans un but particulier." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Classificateurs\n", + "Un classificateur est une fonction d'un actif et d'un moment dans le temps ayant une sortie catégorielle.\n", + "Plus précisément, un classificateur produit une chaîne ou un int qui ne représente pas une valeur numérique (par exemple, un label entier tel qu'un code de secteur). Les classificateurs sont le plus souvent utilisés pour regrouper des actifs pour des transformations complexes sur des sorties de facteurs. Un exemple de classificateur est la bourse sur laquelle un actif est actuellement négocié." + ] + }, + { + "cell_type": "code", + "execution_count": 49, + "metadata": {}, + "outputs": [], + "source": [ + "from quantopian.pipeline import Pipeline" + ] + }, + { + "cell_type": "code", + "execution_count": 50, + "metadata": {}, + "outputs": [], + "source": [ + "def make_pipeline():\n", + " return Pipeline()" + ] + }, + { + "cell_type": "code", + "execution_count": 51, + "metadata": {}, + "outputs": [], + "source": [ + "pipe = make_pipeline()" + ] + }, + { + "cell_type": "code", + "execution_count": 52, + "metadata": {}, + "outputs": [], + "source": [ + "from quantopian.research import run_pipeline" + ] + }, + { + "cell_type": "code", + "execution_count": 53, + "metadata": {}, + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "Pipeline Execution Time: 0.02 Seconds" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "result = run_pipeline(pipe,'2017-01-01','2017-01-01')" + ] + }, + { + "cell_type": "code", + "execution_count": 54, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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2017-01-03 00:00:00+00:00Equity(2 [ARNC])
Equity(21 [AAME])
Equity(24 [AAPL])
Equity(25 [ARNC_PR])
Equity(31 [ABAX])
Equity(39 [DDC])
Equity(41 [ARCB])
Equity(52 [ABM])
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" + ], + "text/plain": [ + "Empty DataFrame\n", + "Columns: []\n", + "Index: [(2017-01-03 00:00:00+00:00, Equity(2 [ARNC])), (2017-01-03 00:00:00+00:00, Equity(21 [AAME])), (2017-01-03 00:00:00+00:00, Equity(24 [AAPL])), (2017-01-03 00:00:00+00:00, Equity(25 [ARNC_PR])), (2017-01-03 00:00:00+00:00, Equity(31 [ABAX])), (2017-01-03 00:00:00+00:00, Equity(39 [DDC])), (2017-01-03 00:00:00+00:00, Equity(41 [ARCB])), (2017-01-03 00:00:00+00:00, Equity(52 [ABM])), (2017-01-03 00:00:00+00:00, Equity(53 [ABMD])), (2017-01-03 00:00:00+00:00, Equity(62 [ABT]))]" + ] + }, + "execution_count": 54, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "result.head(10)" + ] + }, + { + "cell_type": "code", + "execution_count": 55, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "MultiIndex: 8356 entries, (2017-01-03 00:00:00+00:00, Equity(2 [ARNC])) to (2017-01-03 00:00:00+00:00, Equity(50569 [OUSM]))\n", + "Empty DataFrame" + ] + } + ], + "source": [ + "result.info()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Data" + ] + }, + { + "cell_type": "code", + "execution_count": 56, + "metadata": {}, + "outputs": [], + "source": [ + "from quantopian.pipeline.data.builtin import USEquityPricing" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Facteurs\n", + "\n", + "N'oubliez pas que les facteurs prennent en compte un actif et un horodatage et rendent une certaine valeur numérique." + ] + }, + { + "cell_type": "code", + "execution_count": 57, + "metadata": {}, + "outputs": [], + "source": [ + "from quantopian.pipeline.factors import BollingerBands,SimpleMovingAverage,EWMA" + ] + }, + { + "cell_type": "code", + "execution_count": 58, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "SimpleMovingAverage([EquityPricing.close], 30)" + ] + }, + "execution_count": 58, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "SimpleMovingAverage(inputs=[USEquityPricing.close],window_length=30)" + ] + }, + { + "cell_type": "code", + "execution_count": 59, + "metadata": {}, + "outputs": [], + "source": [ + "def make_pipeline():\n", + " \n", + " mean_close_30 = SimpleMovingAverage(inputs=[USEquityPricing.close],window_length=30)\n", + " \n", + " return Pipeline(columns={\n", + " '30 Day Mean Close':mean_close_30\n", + " })" + ] + }, + { + "cell_type": "code", + "execution_count": 60, + "metadata": {}, + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "Pipeline Execution Time: 0.38 Seconds" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "results = run_pipeline(make_pipeline(),'2017-01-01','2017-01-01')" + ] + }, + { + "cell_type": "code", + "execution_count": 61, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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30 Day Mean Close
2017-01-03 00:00:00+00:00Equity(2 [ARNC])20.110500
Equity(21 [AAME])3.899241
Equity(24 [AAPL])113.368433
Equity(25 [ARNC_PR])86.796111
Equity(31 [ABAX])52.498394
Equity(39 [DDC])9.523000
Equity(41 [ARCB])29.969167
Equity(52 [ABM])42.138239
Equity(53 [ABMD])114.030167
Equity(62 [ABT])38.664333
Equity(64 [GOLD])15.117736
Equity(66 [AB])23.119167
Equity(67 [ADSK])75.960667
Equity(69 [ACAT])15.839500
Equity(70 [VBF])18.208480
Equity(76 [TAP])97.727924
Equity(84 [ACET])20.722753
Equity(100 [IEP])59.281167
Equity(106 [ACU])22.628433
Equity(110 [RAMP])26.800333
\n", + "
" + ], + "text/plain": [ + " 30 Day Mean Close\n", + "2017-01-03 00:00:00+00:00 Equity(2 [ARNC]) 20.110500\n", + " Equity(21 [AAME]) 3.899241\n", + " Equity(24 [AAPL]) 113.368433\n", + " Equity(25 [ARNC_PR]) 86.796111\n", + " Equity(31 [ABAX]) 52.498394\n", + " Equity(39 [DDC]) 9.523000\n", + " Equity(41 [ARCB]) 29.969167\n", + " Equity(52 [ABM]) 42.138239\n", + " Equity(53 [ABMD]) 114.030167\n", + " Equity(62 [ABT]) 38.664333\n", + " Equity(64 [GOLD]) 15.117736\n", + " Equity(66 [AB]) 23.119167\n", + " Equity(67 [ADSK]) 75.960667\n", + " Equity(69 [ACAT]) 15.839500\n", + " Equity(70 [VBF]) 18.208480\n", + " Equity(76 [TAP]) 97.727924\n", + " Equity(84 [ACET]) 20.722753\n", + " Equity(100 [IEP]) 59.281167\n", + " Equity(106 [ACU]) 22.628433\n", + " Equity(110 [RAMP]) 26.800333" + ] + }, + "execution_count": 61, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "results.head(20)" + ] + }, + { + "cell_type": "code", + "execution_count": 62, + "metadata": {}, + "outputs": [], + "source": [ + "def make_pipeline():\n", + " \n", + " mean_close_30 = SimpleMovingAverage(inputs=[USEquityPricing.close],window_length=30)\n", + " latest_close = USEquityPricing.close.latest\n", + " \n", + " return Pipeline(columns={\n", + " '30 Day Mean Close':mean_close_30,\n", + " 'Latest Close':latest_close\n", + " })" + ] + }, + { + "cell_type": "code", + "execution_count": 63, + "metadata": {}, + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "Pipeline Execution Time: 0.41 Seconds" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "results = run_pipeline(make_pipeline(),'2017-01-01','2017-01-01')" + ] + }, + { + "cell_type": "code", + "execution_count": 64, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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30 Day Mean CloseLatest Close
2017-01-03 00:00:00+00:00Equity(2 [ARNC])20.11050018.55
Equity(21 [AAME])3.8992414.10
Equity(24 [AAPL])113.368433115.84
Equity(25 [ARNC_PR])86.796111NaN
Equity(31 [ABAX])52.49839452.74
Equity(39 [DDC])9.5230009.69
Equity(41 [ARCB])29.96916727.75
Equity(52 [ABM])42.13823940.68
Equity(53 [ABMD])114.030167112.70
Equity(62 [ABT])38.66433338.42
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" + ], + "text/plain": [ + " 30 Day Mean Close \\\n", + "2017-01-03 00:00:00+00:00 Equity(2 [ARNC]) 20.110500 \n", + " Equity(21 [AAME]) 3.899241 \n", + " Equity(24 [AAPL]) 113.368433 \n", + " Equity(25 [ARNC_PR]) 86.796111 \n", + " Equity(31 [ABAX]) 52.498394 \n", + " Equity(39 [DDC]) 9.523000 \n", + " Equity(41 [ARCB]) 29.969167 \n", + " Equity(52 [ABM]) 42.138239 \n", + " Equity(53 [ABMD]) 114.030167 \n", + " Equity(62 [ABT]) 38.664333 \n", + "\n", + " Latest Close \n", + "2017-01-03 00:00:00+00:00 Equity(2 [ARNC]) 18.55 \n", + " Equity(21 [AAME]) 4.10 \n", + " Equity(24 [AAPL]) 115.84 \n", + " Equity(25 [ARNC_PR]) NaN \n", + " Equity(31 [ABAX]) 52.74 \n", + " Equity(39 [DDC]) 9.69 \n", + " Equity(41 [ARCB]) 27.75 \n", + " Equity(52 [ABM]) 40.68 \n", + " Equity(53 [ABMD]) 112.70 \n", + " Equity(62 [ABT]) 38.42 " + ] + }, + "execution_count": 64, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "results.head(10)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Facteurs Combinés" + ] + }, + { + "cell_type": "code", + "execution_count": 65, + "metadata": {}, + "outputs": [], + "source": [ + "def make_pipeline():\n", + " \n", + " mean_close_10 = SimpleMovingAverage(inputs=[USEquityPricing.close],window_length=10)\n", + " mean_close_30 = SimpleMovingAverage(inputs=[USEquityPricing.close],window_length=30)\n", + " latest_close = USEquityPricing.close.latest\n", + " \n", + " percent_difference = (mean_close_10-mean_close_30) / mean_close_30\n", + " \n", + " return Pipeline(columns={\n", + " 'Percent Difference':percent_difference,\n", + " '30 Day Mean Close':mean_close_30,\n", + " 'Latest Close':latest_close\n", + " })" + ] + }, + { + "cell_type": "code", + "execution_count": 66, + "metadata": {}, + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "Pipeline Execution Time: 0.41 Seconds" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "results = run_pipeline(make_pipeline(),'2017-01-01','2017-01-01')" + ] + }, + { + "cell_type": "code", + "execution_count": 67, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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30 Day Mean CloseLatest ClosePercent Difference
2017-01-03 00:00:00+00:00Equity(2 [ARNC])20.11050018.55-0.022749
Equity(21 [AAME])3.8992414.10-0.005499
Equity(24 [AAPL])113.368433115.840.028481
Equity(25 [ARNC_PR])86.796111NaN-0.000474
Equity(31 [ABAX])52.49839452.74-0.007665
\n", + "
" + ], + "text/plain": [ + " 30 Day Mean Close \\\n", + "2017-01-03 00:00:00+00:00 Equity(2 [ARNC]) 20.110500 \n", + " Equity(21 [AAME]) 3.899241 \n", + " Equity(24 [AAPL]) 113.368433 \n", + " Equity(25 [ARNC_PR]) 86.796111 \n", + " Equity(31 [ABAX]) 52.498394 \n", + "\n", + " Latest Close \\\n", + "2017-01-03 00:00:00+00:00 Equity(2 [ARNC]) 18.55 \n", + " Equity(21 [AAME]) 4.10 \n", + " Equity(24 [AAPL]) 115.84 \n", + " Equity(25 [ARNC_PR]) NaN \n", + " Equity(31 [ABAX]) 52.74 \n", + "\n", + " Percent Difference \n", + "2017-01-03 00:00:00+00:00 Equity(2 [ARNC]) -0.022749 \n", + " Equity(21 [AAME]) -0.005499 \n", + " Equity(24 [AAPL]) 0.028481 \n", + " Equity(25 [ARNC_PR]) -0.000474 \n", + " Equity(31 [ABAX]) -0.007665 " + ] + }, + "execution_count": 67, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "results.head()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Filtres et Ecrans\n", + "\n", + "Les filtres prennent en compte un actif et un horodatage et renvoient un booléen" + ] + }, + { + "cell_type": "code", + "execution_count": 68, + "metadata": {}, + "outputs": [], + "source": [ + "last_close_price = USEquityPricing.close.latest\n", + "close_price_filter = last_close_price > 20" + ] + }, + { + "cell_type": "code", + "execution_count": 69, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "NumExprFilter(expr='x_0 > (20.0)', bindings={'x_0': Latest([EquityPricing.close], 1)})" + ] + }, + "execution_count": 69, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "close_price_filter" + ] + }, + { + "cell_type": "code", + "execution_count": 70, + "metadata": {}, + "outputs": [], + "source": [ + "def make_pipeline():\n", + " \n", + " mean_close_10 = SimpleMovingAverage(inputs=[USEquityPricing.close],window_length=10)\n", + " mean_close_30 = SimpleMovingAverage(inputs=[USEquityPricing.close],window_length=30)\n", + " latest_close = USEquityPricing.close.latest\n", + " \n", + " percent_difference = (mean_close_10-mean_close_30) / mean_close_30\n", + " \n", + " perc_diff_check = percent_difference > 0 \n", + " \n", + " return Pipeline(columns={\n", + " 'Percent Difference':percent_difference,\n", + " '30 Day Mean Close':mean_close_30,\n", + " 'Latest Close':latest_close,\n", + " 'Positive Percent Diff': perc_diff_check\n", + " })" + ] + }, + { + "cell_type": "code", + "execution_count": 71, + "metadata": {}, + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "Pipeline Execution Time: 0.41 Seconds" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "
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30 Day Mean CloseLatest ClosePercent DifferencePositive Percent Diff
2017-01-03 00:00:00+00:00Equity(2 [ARNC])20.11050018.55-0.022749False
Equity(21 [AAME])3.8992414.10-0.005499False
Equity(24 [AAPL])113.368433115.840.028481True
Equity(25 [ARNC_PR])86.796111NaN-0.000474False
Equity(31 [ABAX])52.49839452.74-0.007665False
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" + ], + "text/plain": [ + " 30 Day Mean Close \\\n", + "2017-01-03 00:00:00+00:00 Equity(2 [ARNC]) 20.110500 \n", + " Equity(21 [AAME]) 3.899241 \n", + " Equity(24 [AAPL]) 113.368433 \n", + " Equity(25 [ARNC_PR]) 86.796111 \n", + " Equity(31 [ABAX]) 52.498394 \n", + "\n", + " Latest Close \\\n", + "2017-01-03 00:00:00+00:00 Equity(2 [ARNC]) 18.55 \n", + " Equity(21 [AAME]) 4.10 \n", + " Equity(24 [AAPL]) 115.84 \n", + " Equity(25 [ARNC_PR]) NaN \n", + " Equity(31 [ABAX]) 52.74 \n", + "\n", + " Percent Difference \\\n", + "2017-01-03 00:00:00+00:00 Equity(2 [ARNC]) -0.022749 \n", + " Equity(21 [AAME]) -0.005499 \n", + " Equity(24 [AAPL]) 0.028481 \n", + " Equity(25 [ARNC_PR]) -0.000474 \n", + " Equity(31 [ABAX]) -0.007665 \n", + "\n", + " Positive Percent Diff \n", + "2017-01-03 00:00:00+00:00 Equity(2 [ARNC]) False \n", + " Equity(21 [AAME]) False \n", + " Equity(24 [AAPL]) True \n", + " Equity(25 [ARNC_PR]) False \n", + " Equity(31 [ABAX]) False " + ] + }, + "execution_count": 71, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "results = run_pipeline(make_pipeline(),'2017-01-01','2017-01-01')\n", + "results.head()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Ecrans" + ] + }, + { + "cell_type": "code", + "execution_count": 72, + "metadata": {}, + "outputs": [], + "source": [ + "def make_pipeline():\n", + " \n", + " mean_close_10 = SimpleMovingAverage(inputs=[USEquityPricing.close],window_length=10)\n", + " mean_close_30 = SimpleMovingAverage(inputs=[USEquityPricing.close],window_length=30)\n", + " latest_close = USEquityPricing.close.latest\n", + " \n", + " percent_difference = (mean_close_10-mean_close_30) / mean_close_30\n", + " \n", + " perc_diff_check = percent_difference > 0 \n", + " \n", + " return Pipeline(columns={\n", + " 'Percent Difference':percent_difference,\n", + " '30 Day Mean Close':mean_close_30,\n", + " 'Latest Close':latest_close,\n", + " 'Positive Percent Diff': perc_diff_check},\n", + " screen=perc_diff_check)" + ] + }, + { + "cell_type": "code", + "execution_count": 73, + "metadata": {}, + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "Pipeline Execution Time: 0.44 Seconds" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "
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30 Day Mean CloseLatest ClosePercent DifferencePositive Percent Diff
2017-01-03 00:00:00+00:00Equity(24 [AAPL])113.368433115.840.028481True
Equity(66 [AB])23.11916723.450.004578True
Equity(69 [ACAT])15.83950015.020.009375True
Equity(70 [VBF])18.20848018.490.011814True
Equity(84 [ACET])20.72275321.970.039630True
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" + ], + "text/plain": [ + " 30 Day Mean Close Latest Close \\\n", + "2017-01-03 00:00:00+00:00 Equity(24 [AAPL]) 113.368433 115.84 \n", + " Equity(66 [AB]) 23.119167 23.45 \n", + " Equity(69 [ACAT]) 15.839500 15.02 \n", + " Equity(70 [VBF]) 18.208480 18.49 \n", + " Equity(84 [ACET]) 20.722753 21.97 \n", + "\n", + " Percent Difference \\\n", + "2017-01-03 00:00:00+00:00 Equity(24 [AAPL]) 0.028481 \n", + " Equity(66 [AB]) 0.004578 \n", + " Equity(69 [ACAT]) 0.009375 \n", + " Equity(70 [VBF]) 0.011814 \n", + " Equity(84 [ACET]) 0.039630 \n", + "\n", + " Positive Percent Diff \n", + "2017-01-03 00:00:00+00:00 Equity(24 [AAPL]) True \n", + " Equity(66 [AB]) True \n", + " Equity(69 [ACAT]) True \n", + " Equity(70 [VBF]) True \n", + " Equity(84 [ACET]) True " + ] + }, + "execution_count": 73, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "results = run_pipeline(make_pipeline(),'2017-01-01','2017-01-01')\n", + "results.head()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Inverser un écran" + ] + }, + { + "cell_type": "code", + "execution_count": 74, + "metadata": {}, + "outputs": [], + "source": [ + "def make_pipeline():\n", + " \n", + " mean_close_10 = SimpleMovingAverage(inputs=[USEquityPricing.close],window_length=10)\n", + " mean_close_30 = SimpleMovingAverage(inputs=[USEquityPricing.close],window_length=30)\n", + " latest_close = USEquityPricing.close.latest\n", + " \n", + " percent_difference = (mean_close_10-mean_close_30) / mean_close_30\n", + " \n", + " perc_diff_check = percent_difference > 0 \n", + " \n", + " return Pipeline(columns={\n", + " 'Percent Difference':percent_difference,\n", + " '30 Day Mean Close':mean_close_30,\n", + " 'Latest Close':latest_close,\n", + " 'Positive Percent Diff': perc_diff_check},\n", + " screen=~perc_diff_check)" + ] + }, + { + "cell_type": "code", + "execution_count": 75, + "metadata": {}, + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "Pipeline Execution Time: 0.41 Seconds" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "
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30 Day Mean CloseLatest ClosePercent DifferencePositive Percent Diff
2017-01-03 00:00:00+00:00Equity(2 [ARNC])20.11050018.55-0.022749False
Equity(21 [AAME])3.8992414.10-0.005499False
Equity(25 [ARNC_PR])86.796111NaN-0.000474False
Equity(31 [ABAX])52.49839452.74-0.007665False
Equity(39 [DDC])9.5230009.69-0.015436False
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" + ], + "text/plain": [ + " 30 Day Mean Close \\\n", + "2017-01-03 00:00:00+00:00 Equity(2 [ARNC]) 20.110500 \n", + " Equity(21 [AAME]) 3.899241 \n", + " Equity(25 [ARNC_PR]) 86.796111 \n", + " Equity(31 [ABAX]) 52.498394 \n", + " Equity(39 [DDC]) 9.523000 \n", + "\n", + " Latest Close \\\n", + "2017-01-03 00:00:00+00:00 Equity(2 [ARNC]) 18.55 \n", + " Equity(21 [AAME]) 4.10 \n", + " Equity(25 [ARNC_PR]) NaN \n", + " Equity(31 [ABAX]) 52.74 \n", + " Equity(39 [DDC]) 9.69 \n", + "\n", + " Percent Difference \\\n", + "2017-01-03 00:00:00+00:00 Equity(2 [ARNC]) -0.022749 \n", + " Equity(21 [AAME]) -0.005499 \n", + " Equity(25 [ARNC_PR]) -0.000474 \n", + " Equity(31 [ABAX]) -0.007665 \n", + " Equity(39 [DDC]) -0.015436 \n", + "\n", + " Positive Percent Diff \n", + "2017-01-03 00:00:00+00:00 Equity(2 [ARNC]) False \n", + " Equity(21 [AAME]) False \n", + " Equity(25 [ARNC_PR]) False \n", + " Equity(31 [ABAX]) False \n", + " Equity(39 [DDC]) False " + ] + }, + "execution_count": 75, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "results = run_pipeline(make_pipeline(),'2017-01-01','2017-01-01')\n", + "results.head()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Combiner des Filtres" + ] + }, + { + "cell_type": "code", + "execution_count": 76, + "metadata": {}, + "outputs": [], + "source": [ + "def make_pipeline():\n", + " \n", + " mean_close_10 = SimpleMovingAverage(inputs=[USEquityPricing.close],window_length=10)\n", + " mean_close_30 = SimpleMovingAverage(inputs=[USEquityPricing.close],window_length=30)\n", + " latest_close = USEquityPricing.close.latest\n", + " \n", + " percent_difference = (mean_close_10-mean_close_30) / mean_close_30\n", + " \n", + " perc_diff_check = percent_difference > 0 \n", + " small_price = latest_close < 5\n", + " \n", + " final_filter = perc_diff_check & small_price\n", + " \n", + " return Pipeline(columns={\n", + " 'Percent Difference':percent_difference,\n", + " '30 Day Mean Close':mean_close_30,\n", + " 'Latest Close':latest_close,\n", + " 'Positive Percent Diff': perc_diff_check},\n", + " screen=final_filter)" + ] + }, + { + "cell_type": "code", + "execution_count": 77, + "metadata": {}, + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "Pipeline Execution Time: 0.41 Seconds" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "
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30 Day Mean CloseLatest ClosePercent DifferencePositive Percent Diff
2017-01-03 00:00:00+00:00Equity(535 [ARTW])3.0977783.400.013271True
Equity(677 [AXAS])2.2653332.560.145527True
Equity(1144 [LCTX])3.5311673.620.065795True
Equity(1323 [CAW])2.5413332.600.016002True
Equity(1546 [CIF])2.5003702.570.015579True
\n", + "
" + ], + "text/plain": [ + " 30 Day Mean Close \\\n", + "2017-01-03 00:00:00+00:00 Equity(535 [ARTW]) 3.097778 \n", + " Equity(677 [AXAS]) 2.265333 \n", + " Equity(1144 [LCTX]) 3.531167 \n", + " Equity(1323 [CAW]) 2.541333 \n", + " Equity(1546 [CIF]) 2.500370 \n", + "\n", + " Latest Close \\\n", + "2017-01-03 00:00:00+00:00 Equity(535 [ARTW]) 3.40 \n", + " Equity(677 [AXAS]) 2.56 \n", + " Equity(1144 [LCTX]) 3.62 \n", + " Equity(1323 [CAW]) 2.60 \n", + " Equity(1546 [CIF]) 2.57 \n", + "\n", + " Percent Difference \\\n", + "2017-01-03 00:00:00+00:00 Equity(535 [ARTW]) 0.013271 \n", + " Equity(677 [AXAS]) 0.145527 \n", + " Equity(1144 [LCTX]) 0.065795 \n", + " Equity(1323 [CAW]) 0.016002 \n", + " Equity(1546 [CIF]) 0.015579 \n", + "\n", + " Positive Percent Diff \n", + "2017-01-03 00:00:00+00:00 Equity(535 [ARTW]) True \n", + " Equity(677 [AXAS]) True \n", + " Equity(1144 [LCTX]) True \n", + " Equity(1323 [CAW]) True \n", + " Equity(1546 [CIF]) True " + ] + }, + "execution_count": 77, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "results = run_pipeline(make_pipeline(),'2017-01-01','2017-01-01')\n", + "results.head()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Fundamentals de Morningstar\n", + "\n", + "`Fundamentals` donne un accès à la base de données fondamentale quantopienne. Basée sur les données fournies par Morningstar, `Fundamentals` fournit plus de 600 mesures d'entreprise remontant à 2002 (pour correspondre aux données de tarification de Quantopian).\n", + "\n", + "Regardez la documentation de Fundamentals : https://www.quantopian.com/docs/data-reference/morningstar_fundamentals.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 78, + "metadata": {}, + "outputs": [], + "source": [ + "from quantopian.pipeline.data.morningstar import Fundamentals" + ] + }, + { + "cell_type": "code", + "execution_count": 79, + "metadata": {}, + "outputs": [], + "source": [ + "def make_pipeline():\n", + " \n", + " my_funds = Fundamentals.market_cap.latest\n", + " \n", + " return Pipeline(columns={'Market Cap':my_funds})" + ] + }, + { + "cell_type": "code", + "execution_count": 80, + "metadata": {}, + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "Pipeline Execution Time: 0.12 Seconds" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "results = run_pipeline(make_pipeline(),'2017-01-03','2017-01-03')" + ] + }, + { + "cell_type": "code", + "execution_count": 81, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "MultiIndex: 8356 entries, (2017-01-03 00:00:00+00:00, Equity(2 [ARNC])) to (2017-01-03 00:00:00+00:00, Equity(50569 [OUSM]))\n", + "Data columns (total 1 columns):\n", + "Market Cap 5040 non-null float64\n", + "dtypes: float64(1)\n", + "memory usage: 130.6+ KB\n" + ] + } + ], + "source": [ + "results.info()" + ] + }, + { + "cell_type": "code", + "execution_count": 82, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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Market Cap
2017-01-03 00:00:00+00:00Equity(2 [ARNC])8.129387e+09
Equity(21 [AAME])8.370243e+07
Equity(24 [AAPL])6.175885e+11
Equity(25 [ARNC_PR])NaN
Equity(31 [ABAX])1.189172e+09
Equity(39 [DDC])8.039806e+08
Equity(41 [ARCB])7.084623e+08
Equity(52 [ABM])2.268896e+09
Equity(53 [ABMD])4.888170e+09
Equity(62 [ABT])5.655141e+10
Equity(64 [GOLD])1.862359e+10
Equity(66 [AB])2.221112e+09
Equity(67 [ADSK])1.647140e+10
Equity(69 [ACAT])1.959759e+08
Equity(70 [VBF])NaN
Equity(76 [TAP])2.090877e+10
Equity(84 [ACET])6.602278e+08
Equity(100 [IEP])8.490282e+09
Equity(106 [ACU])8.501910e+07
Equity(110 [RAMP])2.079641e+09
Equity(112 [ACY])1.480530e+07
Equity(114 [ADBE])5.090425e+10
Equity(117 [AEY])1.793760e+07
Equity(122 [ADI])2.237935e+10
Equity(128 [ADM])2.626700e+10
Equity(149 [ADX])NaN
Equity(153 [AE])1.672277e+08
Equity(154 [AEM])9.434941e+09
Equity(157 [AEG])1.166367e+10
Equity(161 [AEP])3.095816e+10
......
Equity(50534 [HGV])NaN
Equity(50535 [PK])NaN
Equity(50537 [WRD])1.734876e+09
Equity(50539 [TIG])2.339749e+09
Equity(50540 [TRVG])2.762639e+09
Equity(50541 [KEY_PRI])NaN
Equity(50542 [JHMD])NaN
Equity(50543 [COWZ])NaN
Equity(50544 [KEG])2.618865e+07
Equity(50546 [NURE])NaN
Equity(50547 [YTRA])3.297637e+08
Equity(50548 [PHIO_W])NaN
Equity(50549 [BMLP])NaN
Equity(50550 [WBIY])NaN
Equity(50552 [FIV])NaN
Equity(50554 [HEBT])8.415000e+07
Equity(50555 [UUUU_WS])NaN
Equity(50556 [SAB_CL])NaN
Equity(50558 [INFR])NaN
Equity(50559 [VVPR])5.894486e+07
Equity(50560 [XK])NaN
Equity(50561 [XE])NaN
Equity(50562 [XH])NaN
Equity(50563 [XM])NaN
Equity(50564 [XD])NaN
Equity(50565 [XI])NaN
Equity(50566 [XU])NaN
Equity(50567 [XF])NaN
Equity(50568 [XS])NaN
Equity(50569 [OUSM])NaN
\n", + "

8356 rows × 1 columns

\n", + "
" + ], + "text/plain": [ + " Market Cap\n", + "2017-01-03 00:00:00+00:00 Equity(2 [ARNC]) 8.129387e+09\n", + " Equity(21 [AAME]) 8.370243e+07\n", + " Equity(24 [AAPL]) 6.175885e+11\n", + " Equity(25 [ARNC_PR]) NaN\n", + " Equity(31 [ABAX]) 1.189172e+09\n", + " Equity(39 [DDC]) 8.039806e+08\n", + " Equity(41 [ARCB]) 7.084623e+08\n", + " Equity(52 [ABM]) 2.268896e+09\n", + " Equity(53 [ABMD]) 4.888170e+09\n", + " Equity(62 [ABT]) 5.655141e+10\n", + " Equity(64 [GOLD]) 1.862359e+10\n", + " Equity(66 [AB]) 2.221112e+09\n", + " Equity(67 [ADSK]) 1.647140e+10\n", + " Equity(69 [ACAT]) 1.959759e+08\n", + " Equity(70 [VBF]) NaN\n", + " Equity(76 [TAP]) 2.090877e+10\n", + " Equity(84 [ACET]) 6.602278e+08\n", + " Equity(100 [IEP]) 8.490282e+09\n", + " Equity(106 [ACU]) 8.501910e+07\n", + " Equity(110 [RAMP]) 2.079641e+09\n", + " Equity(112 [ACY]) 1.480530e+07\n", + " Equity(114 [ADBE]) 5.090425e+10\n", + " Equity(117 [AEY]) 1.793760e+07\n", + " Equity(122 [ADI]) 2.237935e+10\n", + " Equity(128 [ADM]) 2.626700e+10\n", + " Equity(149 [ADX]) NaN\n", + " Equity(153 [AE]) 1.672277e+08\n", + " Equity(154 [AEM]) 9.434941e+09\n", + " Equity(157 [AEG]) 1.166367e+10\n", + " Equity(161 [AEP]) 3.095816e+10\n", + "... ...\n", + " Equity(50534 [HGV]) NaN\n", + " Equity(50535 [PK]) NaN\n", + " Equity(50537 [WRD]) 1.734876e+09\n", + " Equity(50539 [TIG]) 2.339749e+09\n", + " Equity(50540 [TRVG]) 2.762639e+09\n", + " Equity(50541 [KEY_PRI]) NaN\n", + " Equity(50542 [JHMD]) NaN\n", + " Equity(50543 [COWZ]) NaN\n", + " Equity(50544 [KEG]) 2.618865e+07\n", + " Equity(50546 [NURE]) NaN\n", + " Equity(50547 [YTRA]) 3.297637e+08\n", + " Equity(50548 [PHIO_W]) NaN\n", + " Equity(50549 [BMLP]) NaN\n", + " Equity(50550 [WBIY]) NaN\n", + " Equity(50552 [FIV]) NaN\n", + " Equity(50554 [HEBT]) 8.415000e+07\n", + " Equity(50555 [UUUU_WS]) NaN\n", + " Equity(50556 [SAB_CL]) NaN\n", + " Equity(50558 [INFR]) NaN\n", + " Equity(50559 [VVPR]) 5.894486e+07\n", + " Equity(50560 [XK]) NaN\n", + " Equity(50561 [XE]) NaN\n", + " Equity(50562 [XH]) NaN\n", + " Equity(50563 [XM]) NaN\n", + " Equity(50564 [XD]) NaN\n", + " Equity(50565 [XI]) NaN\n", + " Equity(50566 [XU]) NaN\n", + " Equity(50567 [XF]) NaN\n", + " Equity(50568 [XS]) NaN\n", + " Equity(50569 [OUSM]) NaN\n", + "\n", + "[8356 rows x 1 columns]" + ] + }, + "execution_count": 82, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "results" + ] + }, + { + "cell_type": "code", + "execution_count": 83, + "metadata": {}, + "outputs": [], + "source": [ + "def make_pipeline():\n", + " \n", + " my_funds = Fundamentals.market_cap.latest\n", + " \n", + " # Entreprises d'une valeur de 500 milliards ou plus ;)\n", + " cap_filter = my_funds > 500000000000\n", + " \n", + " return Pipeline(columns={'Market Cap':my_funds},\n", + " screen = cap_filter)" + ] + }, + { + "cell_type": "code", + "execution_count": 84, + "metadata": {}, + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "Pipeline Execution Time: 0.12 Seconds" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "results = run_pipeline(make_pipeline(),'2017-01-03','2017-01-03')" + ] + }, + { + "cell_type": "code", + "execution_count": 85, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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Market Cap
2017-01-03 00:00:00+00:00Equity(24 [AAPL])6.175885e+11
Equity(26578 [GOOG_L])5.461871e+11
Equity(46631 [GOOG])5.319681e+11
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" + ], + "text/plain": [ + " Market Cap\n", + "2017-01-03 00:00:00+00:00 Equity(24 [AAPL]) 6.175885e+11\n", + " Equity(26578 [GOOG_L]) 5.461871e+11\n", + " Equity(46631 [GOOG]) 5.319681e+11" + ] + }, + "execution_count": 85, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "results" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Masques\n", + "\n", + "Parfois, nous voulons ignorer certains atouts lors du calcul des expressions des pipelines. Il y a deux cas courants où il est utile d'ignorer des actifs :\n", + "* Nous voulons calculer une expression qui est coûteuse en termes de calcul, et nous savons que nous ne nous soucions que des résultats pour certains actifs.\n", + "* Nous voulons calculer une expression qui effectue des comparaisons entre des actifs, mais nous voulons que ces comparaisons soient effectuées uniquement par rapport à un sous-ensemble de tous les actifs. " + ] + }, + { + "cell_type": "code", + "execution_count": 86, + "metadata": {}, + "outputs": [], + "source": [ + "def make_pipeline():\n", + " \n", + " # Créer d'abord les masques pour les filtres\n", + " latest_close = USEquityPricing.close.latest\n", + " small_price = latest_close < 5\n", + " \n", + " # Passer dans le masque\n", + " mean_close_10 = SimpleMovingAverage(inputs=[USEquityPricing.close],window_length=10,mask=small_price)\n", + " mean_close_30 = SimpleMovingAverage(inputs=[USEquityPricing.close],window_length=30,mask=small_price)\n", + " \n", + " \n", + " percent_difference = (mean_close_10-mean_close_30) / mean_close_30\n", + " \n", + " perc_diff_check = percent_difference > 0 \n", + " \n", + " \n", + " final_filter = perc_diff_check\n", + " \n", + " return Pipeline(columns={\n", + " 'Percent Difference':percent_difference,\n", + " '30 Day Mean Close':mean_close_30,\n", + " 'Latest Close':latest_close,\n", + " 'Positive Percent Diff': perc_diff_check},\n", + " screen=final_filter)" + ] + }, + { + "cell_type": "code", + "execution_count": 87, + "metadata": {}, + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "Pipeline Execution Time: 0.42 Seconds" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "
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30 Day Mean CloseLatest ClosePercent DifferencePositive Percent Diff
2017-01-03 00:00:00+00:00Equity(535 [ARTW])3.0977783.400.013271True
Equity(677 [AXAS])2.2653332.560.145527True
Equity(1144 [LCTX])3.5311673.620.065795True
Equity(1323 [CAW])2.5413332.600.016002True
Equity(1546 [CIF])2.5003702.570.015579True
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" + ], + "text/plain": [ + " 30 Day Mean Close \\\n", + "2017-01-03 00:00:00+00:00 Equity(535 [ARTW]) 3.097778 \n", + " Equity(677 [AXAS]) 2.265333 \n", + " Equity(1144 [LCTX]) 3.531167 \n", + " Equity(1323 [CAW]) 2.541333 \n", + " Equity(1546 [CIF]) 2.500370 \n", + "\n", + " Latest Close \\\n", + "2017-01-03 00:00:00+00:00 Equity(535 [ARTW]) 3.40 \n", + " Equity(677 [AXAS]) 2.56 \n", + " Equity(1144 [LCTX]) 3.62 \n", + " Equity(1323 [CAW]) 2.60 \n", + " Equity(1546 [CIF]) 2.57 \n", + "\n", + " Percent Difference \\\n", + "2017-01-03 00:00:00+00:00 Equity(535 [ARTW]) 0.013271 \n", + " Equity(677 [AXAS]) 0.145527 \n", + " Equity(1144 [LCTX]) 0.065795 \n", + " Equity(1323 [CAW]) 0.016002 \n", + " Equity(1546 [CIF]) 0.015579 \n", + "\n", + " Positive Percent Diff \n", + "2017-01-03 00:00:00+00:00 Equity(535 [ARTW]) True \n", + " Equity(677 [AXAS]) True \n", + " Equity(1144 [LCTX]) True \n", + " Equity(1323 [CAW]) True \n", + " Equity(1546 [CIF]) True " + ] + }, + "execution_count": 87, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "results = run_pipeline(make_pipeline(),'2017-01-01','2017-01-01')\n", + "results.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 88, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "391" + ] + }, + "execution_count": 88, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "len(results)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Classificateurs\n", + "\n", + "Un classificateur est une fonction d'un actif et d'un moment dans le temps à une sortie catégorielle telle qu'une chaîne de caractères ou un label d'entier." + ] + }, + { + "cell_type": "code", + "execution_count": 89, + "metadata": {}, + "outputs": [], + "source": [ + "from quantopian.pipeline.data import morningstar\n", + "from quantopian.pipeline.classifiers.morningstar import Sector" + ] + }, + { + "cell_type": "code", + "execution_count": 90, + "metadata": {}, + "outputs": [], + "source": [ + "morningstar_sector = Sector()" + ] + }, + { + "cell_type": "code", + "execution_count": 91, + "metadata": {}, + "outputs": [], + "source": [ + "exchange = morningstar.share_class_reference.exchange_id.latest" + ] + }, + { + "cell_type": "code", + "execution_count": 92, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Latest([share_class_reference.exchange_id], 1)" + ] + }, + "execution_count": 92, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "exchange" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Méthodes Classificateur\n", + "\n", + "* eq (equals)\n", + "* isnull\n", + "* startswith" + ] + }, + { + "cell_type": "code", + "execution_count": 93, + "metadata": {}, + "outputs": [], + "source": [ + "nyse_filter = exchange.eq('NYS')" + ] + }, + { + "cell_type": "code", + "execution_count": 94, + "metadata": {}, + "outputs": [], + "source": [ + "def make_pipeline():\n", + " \n", + " # Créer d'abord les masques pour les filtres\n", + " latest_close = USEquityPricing.close.latest\n", + " small_price = latest_close < 5\n", + " \n", + " # Classificateur\n", + " nyse_filter = exchange.eq('NYS')\n", + " \n", + " # passer dans le masque\n", + " mean_close_10 = SimpleMovingAverage(inputs=[USEquityPricing.close],window_length=10,mask=small_price)\n", + " mean_close_30 = SimpleMovingAverage(inputs=[USEquityPricing.close],window_length=30,mask=small_price)\n", + " \n", + " \n", + " percent_difference = (mean_close_10-mean_close_30) / mean_close_30\n", + " \n", + " perc_diff_check = percent_difference > 0 \n", + " \n", + " \n", + " final_filter = perc_diff_check & nyse_filter\n", + " \n", + " return Pipeline(columns={\n", + " 'Percent Difference':percent_difference,\n", + " '30 Day Mean Close':mean_close_30,\n", + " 'Latest Close':latest_close,\n", + " 'Positive Percent Diff': perc_diff_check},\n", + " screen=final_filter)" + ] + }, + { + "cell_type": "code", + "execution_count": 95, + "metadata": {}, + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "Pipeline Execution Time: 1.07 Seconds" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "
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30 Day Mean CloseLatest ClosePercent DifferencePositive Percent Diff
2017-01-03 00:00:00+00:00Equity(2586 [EQS])1.9605332.0200.022120True
Equity(3265 [GLF])1.5763671.7250.162420True
Equity(3645 [HOV])2.4066672.7350.176939True
Equity(4577 [LUB])4.2923334.2700.004116True
Equity(4971 [RT])3.2440003.2400.009094True
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" + ], + "text/plain": [ + " 30 Day Mean Close Latest Close \\\n", + "2017-01-03 00:00:00+00:00 Equity(2586 [EQS]) 1.960533 2.020 \n", + " Equity(3265 [GLF]) 1.576367 1.725 \n", + " Equity(3645 [HOV]) 2.406667 2.735 \n", + " Equity(4577 [LUB]) 4.292333 4.270 \n", + " Equity(4971 [RT]) 3.244000 3.240 \n", + "\n", + " Percent Difference \\\n", + "2017-01-03 00:00:00+00:00 Equity(2586 [EQS]) 0.022120 \n", + " Equity(3265 [GLF]) 0.162420 \n", + " Equity(3645 [HOV]) 0.176939 \n", + " Equity(4577 [LUB]) 0.004116 \n", + " Equity(4971 [RT]) 0.009094 \n", + "\n", + " Positive Percent Diff \n", + "2017-01-03 00:00:00+00:00 Equity(2586 [EQS]) True \n", + " Equity(3265 [GLF]) True \n", + " Equity(3645 [HOV]) True \n", + " Equity(4577 [LUB]) True \n", + " Equity(4971 [RT]) True " + ] + }, + "execution_count": 95, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "results = run_pipeline(make_pipeline(),'2017-01-01','2017-01-01')\n", + "results.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 96, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "66" + ] + }, + "execution_count": 96, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "len(results)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Pipelines dans l'IDE Quantopian" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "from quantopian.pipeline import Pipeline\n", + "from quantopian.algorithm import attach_pipeline, pipeline_output\n", + "\n", + "def initialize(context):\n", + " my_pipe = make_pipeline()\n", + " attach_pipeline(my_pipe, 'my_pipeline')\n", + "\n", + "def make_pipeline():\n", + " return Pipeline()\n", + "\n", + "def before_trading_start(context, data):\n", + " # Stocker les résultats de notre pipeline DataFrame dans la variable context.\n", + " context.output = pipeline_output('my_pipeline')" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3.5", + "language": "python", + "name": "py35" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.5.9" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} \ No newline at end of file diff --git a/11-Quantopian-Avancé/.ipynb_checkpoints/00-Pipeline-Example-Walkthrough-checkpoint.ipynb b/11-Quantopian-Avancé/.ipynb_checkpoints/00-Pipeline-Example-Walkthrough-checkpoint.ipynb new file mode 100644 index 0000000..3db3299 --- /dev/null +++ b/11-Quantopian-Avancé/.ipynb_checkpoints/00-Pipeline-Example-Walkthrough-checkpoint.ipynb @@ -0,0 +1,716 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Pipeline Example" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "from quantopian.pipeline import Pipeline\n", + "from quantopian.research import run_pipeline\n", + "from quantopian.pipeline.data.builtin import USEquityPricing" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Getting the Securities we want.\n", + "\n", + "### The Q500US and Q1500US\n", + "\n", + "These gropus of tradeable stocks are refered to as \"universes\", because all your trades will use these stocks as their \"Universe\" of available stock, they won't be trading with anything outside these groups." + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "from quantopian.pipeline.filters import Q1500US" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "There are two main benefits of the Q500US and Q1500US. Firstly, they greatly reduce the risk of an order not being filled. Secondly, they allow for more meaningful comparisons between strategies as now they will be used as the standard universes for algorithms." + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "universe = Q1500US()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Filtering the universe further with Classifiers\n", + "\n", + "Let's only grab stocks in the energy sector: https://www.quantopian.com/help/fundamentals#industry-sector" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "from quantopian.pipeline.data import morningstar" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "sector = morningstar.asset_classification.morningstar_sector_code.latest" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Alternative:" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "#from quantopian.pipeline.classifiers.morningstar import Sector\n", + "#morningstar_sector = Sector()" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "energy_sector = sector.eq(309)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Masking Filters\n", + "\n", + "Masks can be also be applied to methods that return filters like top, bottom, and percentile_between.\n", + "\n", + "Masks are most useful when we want to apply a filter in the earlier steps of a combined computation. For example, suppose we want to get the 50 securities with the highest open price that are also in the top 10% of dollar volume. \n", + "\n", + "Suppose that we then want the 90th-100th percentile of these securities by close price. We can do this with the following:" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "from quantopian.pipeline.factors import SimpleMovingAverage, AverageDollarVolume" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# Dollar volume factor\n", + "dollar_volume = AverageDollarVolume(window_length=30)\n", + "\n", + "# High dollar volume filter\n", + "high_dollar_volume = dollar_volume.percentile_between(90,100)\n", + "\n", + "# Top open price filter (high dollar volume securities)\n", + "top_open_price = USEquityPricing.open.latest.top(50, mask=high_dollar_volume)\n", + "\n", + "# Top percentile close price filter (high dollar volume, top 50 open price)\n", + "high_close_price = USEquityPricing.close.latest.percentile_between(90, 100, mask=top_open_price)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Applying Filters and Factors\n", + "\n", + "Let's apply our own filters, following along with some of the examples above. Let's select the following securities:\n", + "\n", + "* Stocks in Q1500US\n", + "* Stocks that are in the energy Sector\n", + "* They must be relatively highly traded stocks in the market (by dollar volume traded, need to be in the top 5% traded)\n", + "\n", + "Then we'll calculate the percent difference as we've done previously. Using this percent difference we'll create an unsophisticated strategy that shorts anything with negative percent difference (the difference between the 10 day mean and the 30 day mean)." + ] + }, + { + "cell_type": "code", + "execution_count": 73, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "def make_pipeline():\n", + " \n", + " # Base universe filter.\n", + " base_universe = Q1500US()\n", + " \n", + " # Sector Classifier as Filter\n", + " energy_sector = sector.eq(309)\n", + " \n", + " # Masking Base Energy Stocks\n", + " base_energy = base_universe & energy_sector\n", + " \n", + " # Dollar volume factor\n", + " dollar_volume = AverageDollarVolume(window_length=30)\n", + "\n", + " # Top half of dollar volume filter\n", + " high_dollar_volume = dollar_volume.percentile_between(95,100)\n", + " \n", + " # Final Filter Mask\n", + " top_half_base_energy = base_energy & high_dollar_volume\n", + " \n", + " # 10-day close price average.\n", + " mean_10 = SimpleMovingAverage(inputs=[USEquityPricing.close], window_length=10, mask=top_half_base_energy)\n", + "\n", + " # 30-day close price average.\n", + " mean_30 = SimpleMovingAverage(inputs=[USEquityPricing.close], window_length=30, mask=top_half_base_energy)\n", + "\n", + " # Percent difference factor.\n", + " percent_difference = (mean_10 - mean_30) / mean_30\n", + " \n", + " # Create a filter to select securities to short.\n", + " shorts = percent_difference < 0\n", + " \n", + " # Create a filter to select securities to long.\n", + " longs = percent_difference > 0\n", + " \n", + " # Filter for the securities that we want to trade.\n", + " securities_to_trade = (shorts | longs)\n", + " \n", + " return Pipeline(\n", + " columns={\n", + " 'longs': longs,\n", + " 'shorts': shorts,\n", + " 'percent_diff':percent_difference\n", + " },\n", + " screen=securities_to_trade\n", + " )" + ] + }, + { + "cell_type": "code", + "execution_count": 74, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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longspercent_diffshorts
2015-05-05 00:00:00+00:00Equity(216 [HES])True0.036528False
Equity(448 [APA])True0.035926False
Equity(455 [APC])True0.049153False
Equity(858 [BHI])True0.033807False
Equity(1746 [COG])True0.058078False
Equity(2368 [DVN])True0.046264False
Equity(2564 [EOG])True0.032102False
Equity(2621 [ESV])True0.060197False
Equity(3443 [HAL])True0.049257False
Equity(3647 [HP])True0.040991False
Equity(5035 [MRO])True0.061598False
Equity(5213 [NBL])True0.010443False
Equity(5214 [NBR])True0.064133False
Equity(5249 [NE])True0.037559False
Equity(5729 [OXY])True0.029776False
Equity(6928 [SLB])True0.046555False
Equity(7244 [SWN])True0.070788False
Equity(7612 [ANDV])True0.005997False
Equity(7990 [VLO])False-0.017145True
Equity(8214 [WMB])True0.018876False
Equity(8347 [XOM])True0.017343False
Equity(8461 [CHK])True0.014265False
Equity(9038 [RIG])True0.048180False
Equity(13176 [CAM])True0.082110False
Equity(17436 [PXD])True0.010248False
Equity(19249 [RRC])True0.087062False
Equity(19336 [WFT])True0.049141False
Equity(22784 [FTI])True0.054529False
Equity(23112 [CVX])True0.018972False
Equity(23998 [COP])True0.023902False
Equity(24809 [NOV])True0.024940False
Equity(25707 [WLL])True0.048205False
Equity(33856 [CLR])True0.064304False
Equity(34440 [CXO])True0.042184False
Equity(39797 [OAS])True0.042388False
Equity(40852 [KMI])True0.023016False
Equity(41636 [MPC])True0.011952False
Equity(42788 [PSX])True0.020911False
\n", + "
" + ], + "text/plain": [ + " longs percent_diff shorts\n", + "2015-05-05 00:00:00+00:00 Equity(216 [HES]) True 0.036528 False\n", + " Equity(448 [APA]) True 0.035926 False\n", + " Equity(455 [APC]) True 0.049153 False\n", + " Equity(858 [BHI]) True 0.033807 False\n", + " Equity(1746 [COG]) True 0.058078 False\n", + " Equity(2368 [DVN]) True 0.046264 False\n", + " Equity(2564 [EOG]) True 0.032102 False\n", + " Equity(2621 [ESV]) True 0.060197 False\n", + " Equity(3443 [HAL]) True 0.049257 False\n", + " Equity(3647 [HP]) True 0.040991 False\n", + " Equity(5035 [MRO]) True 0.061598 False\n", + " Equity(5213 [NBL]) True 0.010443 False\n", + " Equity(5214 [NBR]) True 0.064133 False\n", + " Equity(5249 [NE]) True 0.037559 False\n", + " Equity(5729 [OXY]) True 0.029776 False\n", + " Equity(6928 [SLB]) True 0.046555 False\n", + " Equity(7244 [SWN]) True 0.070788 False\n", + " Equity(7612 [ANDV]) True 0.005997 False\n", + " Equity(7990 [VLO]) False -0.017145 True\n", + " Equity(8214 [WMB]) True 0.018876 False\n", + " Equity(8347 [XOM]) True 0.017343 False\n", + " Equity(8461 [CHK]) True 0.014265 False\n", + " Equity(9038 [RIG]) True 0.048180 False\n", + " Equity(13176 [CAM]) True 0.082110 False\n", + " Equity(17436 [PXD]) True 0.010248 False\n", + " Equity(19249 [RRC]) True 0.087062 False\n", + " Equity(19336 [WFT]) True 0.049141 False\n", + " Equity(22784 [FTI]) True 0.054529 False\n", + " Equity(23112 [CVX]) True 0.018972 False\n", + " Equity(23998 [COP]) True 0.023902 False\n", + " Equity(24809 [NOV]) True 0.024940 False\n", + " Equity(25707 [WLL]) True 0.048205 False\n", + " Equity(33856 [CLR]) True 0.064304 False\n", + " Equity(34440 [CXO]) True 0.042184 False\n", + " Equity(39797 [OAS]) True 0.042388 False\n", + " Equity(40852 [KMI]) True 0.023016 False\n", + " Equity(41636 [MPC]) True 0.011952 False\n", + " Equity(42788 [PSX]) True 0.020911 False" + ] + }, + "execution_count": 74, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "result = run_pipeline(make_pipeline(), '2015-05-05', '2015-05-05')\n", + "result" + ] + }, + { + "cell_type": "code", + "execution_count": 75, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "MultiIndex: 38 entries, (2015-05-05 00:00:00+00:00, Equity(216 [HES])) to (2015-05-05 00:00:00+00:00, Equity(42788 [PSX]))\n", + "Data columns (total 3 columns):\n", + "longs 38 non-null bool\n", + "percent_diff 38 non-null float64\n", + "shorts 38 non-null bool\n", + "dtypes: bool(2), float64(1)\n", + "memory usage: 684.0+ bytes\n" + ] + } + ], + "source": [ + "result.info()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Executing this Strategy in the IDE" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "from quantopian.algorithm import attach_pipeline,pipeline_output\n", + "from quantopian.pipeline import Pipeline\n", + "from quantopian.pipeline.data.builtin import USEquityPricing\n", + "from quantopian.pipeline.factors import AverageDollarVolume,SimpleMovingAverage\n", + "from quantopian.pipeline.filters.morningstar import Q1500US\n", + "from quantopian.pipeline.data import morningstar\n", + "\n", + "def initialize(context):\n", + " \n", + " schedule_function(my_rebalance,date_rules.week_start(),time_rules.market_open(hours=1))\n", + " \n", + " my_pipe = make_pipeline()\n", + " attach_pipeline(my_pipe,'my_pipeline')\n", + " \n", + "def my_rebalance(context,data):\n", + " for security in context.portfolio.positions:\n", + " if security not in context.longs and security not in context.shorts and data.can_trade(security):\n", + " order_target_percent(security,0)\n", + " \n", + " for security in context.longs:\n", + " if data.can_trade(security):\n", + " order_target_percent(security,context.long_weight)\n", + "\n", + " for security in context.shorts:\n", + " if data.can_trade(security):\n", + " order_target_percent(security,context.short_weight)\n", + "\n", + "\n", + "\n", + "\n", + "def my_compute_weights(context):\n", + " \n", + " if len(context.longs)==0:\n", + " long_weight = 0\n", + " else:\n", + " long_weight = 0.5 / len(context.longs)\n", + " \n", + " if len(context.shorts)==0:\n", + " short_weight = 0\n", + " else:\n", + " short_weight = 0.5 / len(context.shorts)\n", + " \n", + " return (long_weight,short_weight)\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "def before_trading_start(context,data):\n", + " context.output = pipeline_output('my_pipeline')\n", + " \n", + " # LONG\n", + " context.longs = context.output[context.output['longs']].index.tolist()\n", + " \n", + " # SHORT\n", + " context.shorts = context.output[context.output['shorts']].index.tolist()\n", + "\n", + "\n", + " context.long_weight,context.short_weight = my_compute_weights(context)\n", + "\n", + "\n", + "\n", + "def make_pipeline():\n", + " \n", + " # Universe Q1500US\n", + " base_universe = Q1500US()\n", + " \n", + " # Energy Sector\n", + " sector = morningstar.asset_classification.morningstar_sector_code.latest\n", + " energy_sector = sector.eq(309)\n", + " \n", + " # Make Mask of 1500US and Energy\n", + " base_energy = base_universe & energy_sector\n", + " \n", + " # Dollar Volume (30 Days) Grab the Info\n", + " dollar_volume = AverageDollarVolume(window_length=30)\n", + " \n", + " # Grab the top 5% in avg dollar volume\n", + " high_dollar_volume = dollar_volume.percentile_between(95,100)\n", + " \n", + " # Combine the filters\n", + " top_five_base_energy = base_energy & high_dollar_volume\n", + " \n", + " # 10 day mean close\n", + " mean_10 = SimpleMovingAverage(inputs=[USEquityPricing.close],window_length=10,mask=top_five_base_energy)\n", + " \n", + " # 30 day mean close\n", + " mean_30 = SimpleMovingAverage(inputs=[USEquityPricing.close],window_length=30,mask=top_five_base_energy)\n", + " \n", + " # Percent Difference\n", + " percent_difference = (mean_10-mean_30)/mean_30\n", + " \n", + " # List of Shorts\n", + " shorts = percent_difference < 0\n", + " \n", + " # List of Longs\n", + " longs = percent_difference > 0\n", + " \n", + " # Final Mask/Filter for anything in shorts or longs\n", + " securities_to_trade = (shorts | longs)\n", + " \n", + " # Return Pipeline\n", + " return Pipeline(columns={\n", + " 'longs':longs,\n", + " 'shorts':shorts,\n", + " 'perc_diff':percent_difference\n", + " },screen=securities_to_trade)" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.6.1" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/11-Quantopian-Avancé/.ipynb_checkpoints/00-Pipeline-Example-checkpoint.ipynb b/11-Quantopian-Avancé/.ipynb_checkpoints/00-Pipeline-Example-checkpoint.ipynb new file mode 100644 index 0000000..13fcb96 --- /dev/null +++ b/11-Quantopian-Avancé/.ipynb_checkpoints/00-Pipeline-Example-checkpoint.ipynb @@ -0,0 +1,34 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.6.1" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/11-Quantopian-Avancé/.ipynb_checkpoints/01-Leverage-checkpoint.ipynb b/11-Quantopian-Avancé/.ipynb_checkpoints/01-Leverage-checkpoint.ipynb new file mode 100644 index 0000000..2fd6442 --- /dev/null +++ b/11-Quantopian-Avancé/.ipynb_checkpoints/01-Leverage-checkpoint.ipynb @@ -0,0 +1,6 @@ +{ + "cells": [], + "metadata": {}, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/11-Quantopian-Avancé/.ipynb_checkpoints/03-Portfolio-Analysis-with-Pyfolio-checkpoint.ipynb b/11-Quantopian-Avancé/.ipynb_checkpoints/03-Portfolio-Analysis-with-Pyfolio-checkpoint.ipynb new file mode 100644 index 0000000..13fcb96 --- /dev/null +++ b/11-Quantopian-Avancé/.ipynb_checkpoints/03-Portfolio-Analysis-with-Pyfolio-checkpoint.ipynb @@ -0,0 +1,34 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.6.1" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/11-Quantopian-Avancé/.ipynb_checkpoints/04-Stock-Sentiment-Analysis-Project-checkpoint.ipynb b/11-Quantopian-Avancé/.ipynb_checkpoints/04-Stock-Sentiment-Analysis-Project-checkpoint.ipynb new file mode 100644 index 0000000..fb0c387 --- /dev/null +++ b/11-Quantopian-Avancé/.ipynb_checkpoints/04-Stock-Sentiment-Analysis-Project-checkpoint.ipynb @@ -0,0 +1,128 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Stock Sentiment Analysis\n", + "\n", + "Check out the video for full details." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Final Code\n", + "Here is the final code:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# This section is only importable in the backtester\n", + "from quantopian.algorithm import attach_pipeline, pipeline_output\n", + "\n", + "# General pipeline imports\n", + "from quantopian.pipeline import Pipeline\n", + "from quantopian.pipeline.factors import AverageDollarVolume\n", + "\n", + "\n", + "# Using the free sample in your pipeline algo\n", + "from quantopian.pipeline.data.accern import alphaone_free\n", + "\n", + "\n", + "def initialize(context):\n", + " # Schedule our rebalance function to run at the start of each week.\n", + " schedule_function(my_rebalance, date_rules.every_day())\n", + "\n", + " \n", + " attach_pipeline(make_pipeline(), \"pipeline\")\n", + "\n", + "def make_pipeline():\n", + "\n", + " \n", + " # Screen out penny stocks and low liquidity securities.\n", + " dollar_volume = AverageDollarVolume(window_length=20)\n", + " is_liquid = dollar_volume.rank(ascending=False) < 1000\n", + " \n", + " # Add pipeline factors\n", + " impact = alphaone_free.impact_score.latest\n", + " sentiment = alphaone_free.article_sentiment.latest\n", + "\n", + " return Pipeline(columns={\n", + " 'impact': impact,\n", + " 'sentiment':sentiment,\n", + " },\n", + " screen = is_liquid)\n", + " \n", + "\n", + "\n", + " \n", + "def before_trading_start(context, data):\n", + " port = pipeline_output('pipeline')\n", + " \n", + " # Grab stocks with 100 impact and >0.5 sentiment and go long.\n", + " context.longs = port[(port['impact']==100) & (port['sentiment']>0.75)].index.tolist()\n", + " \n", + " # Grab stocks with 100 impact and <-0.5 sentiment and go long.\n", + " context.shorts = port[(port['impact']==100) & (port['sentiment']< -0.75)].index.tolist()\n", + "\n", + " context.long_weight, context.short_weight = my_compute_weights(context)\n", + "\n", + "def my_compute_weights(context):\n", + "\n", + " # Compute even target weights for our long positions and short positions.\n", + " long_weight = 0.5 / len(context.longs)\n", + " short_weight = -0.5 / len(context.shorts)\n", + "\n", + " return long_weight, short_weight\n", + "\n", + "def my_rebalance(context, data):\n", + "\n", + " for security in context.portfolio.positions:\n", + " if security not in context.longs and security not in context.shorts and data.can_trade(security):\n", + " order_target_percent(security, 0)\n", + "\n", + " for security in context.longs:\n", + " if data.can_trade(security):\n", + " order_target_percent(security, context.long_weight)\n", + "\n", + " for security in context.shorts:\n", + " if data.can_trade(security):\n", + " order_target_percent(security, context.short_weight)\n", + " \n", + " \n", + " \n", + "\n", + " \n" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.6.1" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/11-Quantopian-Avancé/.ipynb_checkpoints/05-Futures-checkpoint.ipynb b/11-Quantopian-Avancé/.ipynb_checkpoints/05-Futures-checkpoint.ipynb new file mode 100644 index 0000000..2fd6442 --- /dev/null +++ b/11-Quantopian-Avancé/.ipynb_checkpoints/05-Futures-checkpoint.ipynb @@ -0,0 +1,6 @@ +{ + "cells": [], + "metadata": {}, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/11-Quantopian-Avancé/.ipynb_checkpoints/06-Trading-Futures-Example-checkpoint.ipynb b/11-Quantopian-Avancé/.ipynb_checkpoints/06-Trading-Futures-Example-checkpoint.ipynb new file mode 100644 index 0000000..2fd6442 --- /dev/null +++ b/11-Quantopian-Avancé/.ipynb_checkpoints/06-Trading-Futures-Example-checkpoint.ipynb @@ -0,0 +1,6 @@ +{ + "cells": [], + "metadata": {}, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/11-Quantopian-Avancé/00-Exemple-Pipeline.ipynb b/11-Quantopian-Avancé/00-Exemple-Pipeline.ipynb new file mode 100644 index 0000000..1e71f58 --- /dev/null +++ b/11-Quantopian-Avancé/00-Exemple-Pipeline.ipynb @@ -0,0 +1,720 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Exemple Pipeline" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "from quantopian.pipeline import Pipeline\n", + "from quantopian.research import run_pipeline\n", + "from quantopian.pipeline.data.builtin import USEquityPricing" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Obtenir les titres que nous voulons.\n", + "\n", + "### Les Q500US et Q1500US\n", + "\n", + "Ces groupes d'actions négociables sont appelés \"univers\", car toutes vos transactions utiliseront ces actions comme leur \"univers\" d'actions disponibles, ils ne négocieront rien en dehors de ces groupes." + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "from quantopian.pipeline.filters import Q1500US" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Le Q500US et le Q1500US présentent deux avantages principaux. Premièrement, ils réduisent considérablement le risque qu'un ordre ne soit pas exécuté. Deuxièmement, ils permettent des comparaisons plus significatives entre les stratégies car ils seront désormais utilisés comme univers standard pour les algorithmes." + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "universe = Q1500US()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Filtrer davantage l'univers avec les classificateurs\n", + "\n", + "Ne prenons que des actions dans le secteur de l'énergie : https://www.quantopian.com/docs/data-reference/morningstar_fundamentals#industry-sector" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "from quantopian.pipeline.data import morningstar" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [], + "source": [ + "sector = morningstar.asset_classification.morningstar_sector_code.latest" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Alternative:" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "# from quantopian.pipeline.classifiers.morningstar import Sector\n", + "# morningstar_sector = Sector()" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "energy_sector = sector.eq(309)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Masques de filtre\n", + "\n", + "Les masques peuvent également être appliqués aux méthodes qui renvoient des filtres comme top, bottom et le percentile_between.\n", + "\n", + "Les masques sont particulièrement utiles lorsque nous voulons appliquer un filtre dans les premières étapes d'un calcul combiné. Par exemple, supposons que nous voulions obtenir les 50 titres dont le prix à l'ouverture est le plus élevé et qui se situent également dans les 10 % supérieurs du volume en dollars. \n", + "\n", + "Supposons que nous voulions ensuite obtenir le 90ème-100ème percentile de ces titres par le prix de clôture. Nous pouvons le faire avec les éléments suivants :" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [], + "source": [ + "from quantopian.pipeline.factors import SimpleMovingAverage, AverageDollarVolume" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [], + "source": [ + "# Facteur de volume en dollar - Dollar volume factor\n", + "dollar_volume = AverageDollarVolume(window_length=30)\n", + "\n", + "# Filtre sur les volumes importants en dollars - High dollar volume filter\n", + "high_dollar_volume = dollar_volume.percentile_between(90,100)\n", + "\n", + "# Filtre de prix supérieur à l'ouverture (titres à fort volume en dollars)\n", + "# Top open price filter (high dollar volume securities)\n", + "top_open_price = USEquityPricing.open.latest.top(50, mask=high_dollar_volume)\n", + "\n", + "# Filtre de prix de clôture du premier percentile (volume de dollars élevé, prix d'ouverture des 50 premiers)\n", + "# Top percentile close price filter (high dollar volume, top 50 open price)\n", + "high_close_price = USEquityPricing.close.latest.percentile_between(90, 100, mask=top_open_price)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Application des Filtres et des Facteurs\n", + "\n", + "Appliquons nos propres filtres, en suivant certains des exemples ci-dessus. Choisissons les titres suivants :\n", + "\n", + "* Titres de Q1500US\n", + "* Les actions qui sont dans le secteur de l'énergie\n", + "* Il doit s'agir d'actions fortement négociées sur le marché (en fonction du volume de dollars échangés, elles doivent faire partie des 5% les plus échangés)\n", + "\n", + "Ensuite, nous calculerons la différence en pourcentage comme nous l'avons fait précédemment. En utilisant ce pourcentage de différence, nous créerons une stratégie peu sophistiquée qui court-circuite tout ce qui présente un pourcentage de différence négatif (la différence entre la moyenne sur 10 jours et la moyenne sur 30 jours)." + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [], + "source": [ + "def make_pipeline():\n", + " \n", + " # Univers Q1500US\n", + " base_universe = Q1500US()\n", + " \n", + " # Secteur Energie\n", + " energy_sector = sector.eq(309)\n", + " \n", + " # Masque de l'univers 1500US et du secteur Energie\n", + " base_energy = base_universe & energy_sector\n", + " \n", + " # Volume en dollars (30 jours)\n", + " dollar_volume = AverageDollarVolume(window_length=30)\n", + "\n", + " # 5% supérieurs en volume en dollars moyens\n", + " high_dollar_volume = dollar_volume.percentile_between(95,100)\n", + " \n", + " # Combiner les filtres\n", + " top_half_base_energy = base_energy & high_dollar_volume\n", + " \n", + " # 10 day mean close\n", + " mean_10 = SimpleMovingAverage(inputs=[USEquityPricing.close], window_length=10, mask=top_half_base_energy)\n", + "\n", + " # 30 day mean close\n", + " mean_30 = SimpleMovingAverage(inputs=[USEquityPricing.close], window_length=30, mask=top_half_base_energy)\n", + "\n", + " # Différence en pourcentage\n", + " percent_difference = (mean_10 - mean_30) / mean_30\n", + " \n", + " # Liste des Shorts (position courte ou vente à découvert)\n", + " shorts = percent_difference < 0\n", + " \n", + " # Liste des Longs (position longue)\n", + " longs = percent_difference > 0\n", + " \n", + " # Masque final/filtre pour tout ce qui est en short ou en long\n", + " securities_to_trade = (shorts | longs)\n", + " \n", + " return Pipeline(\n", + " columns={\n", + " 'longs': longs,\n", + " 'shorts': shorts,\n", + " 'percent_diff':percent_difference\n", + " },\n", + " screen=securities_to_trade\n", + " )" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "Pipeline Execution Time: 4.65 Seconds" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "
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longspercent_diffshorts
2015-05-05 00:00:00+00:00Equity(216 [HES])True0.036528False
Equity(448 [APA])True0.035926False
Equity(455 [APC])True0.049153False
Equity(858 [BHI])True0.033807False
Equity(1746 [COG])True0.058078False
Equity(2368 [DVN])True0.046264False
Equity(2564 [EOG])True0.032102False
Equity(2621 [VAL])True0.060197False
Equity(3443 [HAL])True0.049257False
Equity(3647 [HP])True0.040991False
Equity(5035 [MRO])True0.061598False
Equity(5213 [NBL])True0.010443False
Equity(5214 [NBR])True0.064133False
Equity(5249 [NE])True0.037559False
Equity(5729 [OXY])True0.029776False
Equity(6928 [SLB])True0.046555False
Equity(7244 [SWN])True0.070788False
Equity(7612 [ANDV])True0.005997False
Equity(7990 [VLO])False-0.017145True
Equity(8214 [WMB])True0.018876False
Equity(8347 [XOM])True0.017343False
Equity(8461 [CHK])True0.014265False
Equity(9038 [RIG])True0.048180False
Equity(13176 [CAM])True0.082110False
Equity(17436 [PXD])True0.010248False
Equity(19249 [RRC])True0.087062False
Equity(19336 [WFT])True0.049141False
Equity(22784 [FTI])True0.054529False
Equity(23112 [CVX])True0.018972False
Equity(23998 [COP])True0.023902False
Equity(24809 [NOV])True0.024940False
Equity(25707 [WLL])True0.048205False
Equity(33856 [CLR])True0.064304False
Equity(34440 [CXO])True0.042184False
Equity(39797 [OAS])True0.042388False
Equity(40852 [KMI])True0.023016False
Equity(41636 [MPC])True0.011952False
Equity(42788 [PSX])True0.020911False
\n", + "
" + ], + "text/plain": [ + " longs percent_diff shorts\n", + "2015-05-05 00:00:00+00:00 Equity(216 [HES]) True 0.036528 False\n", + " Equity(448 [APA]) True 0.035926 False\n", + " Equity(455 [APC]) True 0.049153 False\n", + " Equity(858 [BHI]) True 0.033807 False\n", + " Equity(1746 [COG]) True 0.058078 False\n", + " Equity(2368 [DVN]) True 0.046264 False\n", + " Equity(2564 [EOG]) True 0.032102 False\n", + " Equity(2621 [VAL]) True 0.060197 False\n", + " Equity(3443 [HAL]) True 0.049257 False\n", + " Equity(3647 [HP]) True 0.040991 False\n", + " Equity(5035 [MRO]) True 0.061598 False\n", + " Equity(5213 [NBL]) True 0.010443 False\n", + " Equity(5214 [NBR]) True 0.064133 False\n", + " Equity(5249 [NE]) True 0.037559 False\n", + " Equity(5729 [OXY]) True 0.029776 False\n", + " Equity(6928 [SLB]) True 0.046555 False\n", + " Equity(7244 [SWN]) True 0.070788 False\n", + " Equity(7612 [ANDV]) True 0.005997 False\n", + " Equity(7990 [VLO]) False -0.017145 True\n", + " Equity(8214 [WMB]) True 0.018876 False\n", + " Equity(8347 [XOM]) True 0.017343 False\n", + " Equity(8461 [CHK]) True 0.014265 False\n", + " Equity(9038 [RIG]) True 0.048180 False\n", + " Equity(13176 [CAM]) True 0.082110 False\n", + " Equity(17436 [PXD]) True 0.010248 False\n", + " Equity(19249 [RRC]) True 0.087062 False\n", + " Equity(19336 [WFT]) True 0.049141 False\n", + " Equity(22784 [FTI]) True 0.054529 False\n", + " Equity(23112 [CVX]) True 0.018972 False\n", + " Equity(23998 [COP]) True 0.023902 False\n", + " Equity(24809 [NOV]) True 0.024940 False\n", + " Equity(25707 [WLL]) True 0.048205 False\n", + " Equity(33856 [CLR]) True 0.064304 False\n", + " Equity(34440 [CXO]) True 0.042184 False\n", + " Equity(39797 [OAS]) True 0.042388 False\n", + " Equity(40852 [KMI]) True 0.023016 False\n", + " Equity(41636 [MPC]) True 0.011952 False\n", + " Equity(42788 [PSX]) True 0.020911 False" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "result = run_pipeline(make_pipeline(), '2015-05-05', '2015-05-05')\n", + "result" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "MultiIndex: 38 entries, (2015-05-05 00:00:00+00:00, Equity(216 [HES])) to (2015-05-05 00:00:00+00:00, Equity(42788 [PSX]))\n", + "Data columns (total 3 columns):\n", + "longs 38 non-null bool\n", + "percent_diff 38 non-null float64\n", + "shorts 38 non-null bool\n", + "dtypes: bool(2), float64(1)\n", + "memory usage: 684.0+ bytes\n" + ] + } + ], + "source": [ + "result.info()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Exécution de cette stratégie dans l'IDE Quantopian" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "from quantopian.algorithm import attach_pipeline,pipeline_output\n", + "from quantopian.pipeline import Pipeline\n", + "from quantopian.pipeline.data.builtin import USEquityPricing\n", + "from quantopian.pipeline.factors import AverageDollarVolume,SimpleMovingAverage\n", + "from quantopian.pipeline.filters.morningstar import Q1500US\n", + "from quantopian.pipeline.data import morningstar\n", + "\n", + "def initialize(context):\n", + " \n", + " schedule_function(my_rebalance,date_rules.week_start(),time_rules.market_open(hours=1))\n", + " \n", + " my_pipe = make_pipeline()\n", + " attach_pipeline(my_pipe,'my_pipeline')\n", + " \n", + "def my_rebalance(context,data):\n", + " for security in context.portfolio.positions:\n", + " if security not in context.longs and security not in context.shorts and data.can_trade(security):\n", + " order_target_percent(security,0)\n", + " \n", + " for security in context.longs:\n", + " if data.can_trade(security):\n", + " order_target_percent(security,context.long_weight)\n", + "\n", + " for security in context.shorts:\n", + " if data.can_trade(security):\n", + " order_target_percent(security,context.short_weight)\n", + "\n", + "\n", + "\n", + "\n", + "def my_compute_weights(context):\n", + " \n", + " if len(context.longs)==0:\n", + " long_weight = 0\n", + " else:\n", + " long_weight = 0.5 / len(context.longs)\n", + " \n", + " if len(context.shorts)==0:\n", + " short_weight = 0\n", + " else:\n", + " short_weight = -0.5 / len(context.shorts)\n", + " \n", + " return (long_weight,short_weight)\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "def before_trading_start(context,data):\n", + " context.output = pipeline_output('my_pipeline')\n", + " \n", + " # LONG\n", + " context.longs = context.output[context.output['longs']].index.tolist()\n", + " \n", + " # SHORT\n", + " context.shorts = context.output[context.output['shorts']].index.tolist()\n", + "\n", + "\n", + " context.long_weight,context.short_weight = my_compute_weights(context)\n", + "\n", + "\n", + "\n", + "def make_pipeline():\n", + " \n", + " # Univers Q1500US\n", + " base_universe = Q1500US()\n", + " \n", + " # Secteur Energie\n", + " sector = morningstar.asset_classification.morningstar_sector_code.latest\n", + " energy_sector = sector.eq(309)\n", + " \n", + " # Masque de l'univers 1500US et du secteur Energie\n", + " base_energy = base_universe & energy_sector\n", + " \n", + " # Volume en dollars (30 jours)\n", + " dollar_volume = AverageDollarVolume(window_length=30)\n", + " \n", + " # 5% supérieurs en volume en dollars moyens\n", + " high_dollar_volume = dollar_volume.percentile_between(95,100)\n", + " \n", + " # Combiner les filtres\n", + " top_five_base_energy = base_energy & high_dollar_volume\n", + " \n", + " # 10 day mean close\n", + " mean_10 = SimpleMovingAverage(inputs=[USEquityPricing.close],window_length=10,mask=top_five_base_energy)\n", + " \n", + " # 30 day mean close\n", + " mean_30 = SimpleMovingAverage(inputs=[USEquityPricing.close],window_length=30,mask=top_five_base_energy)\n", + " \n", + " # Différence en pourcentage\n", + " percent_difference = (mean_10-mean_30)/mean_30\n", + " \n", + " # Liste des Shorts (position courte ou vente à découvert)\n", + " shorts = percent_difference < 0\n", + " \n", + " # Liste des Longs (position longue)\n", + " longs = percent_difference > 0\n", + " \n", + " # Masque final/filtre pour tout ce qui est en short ou en long\n", + " securities_to_trade = (shorts | longs)\n", + " \n", + " # Retourne le Pipeline\n", + " return Pipeline(columns={\n", + " 'longs':longs,\n", + " 'shorts':shorts,\n", + " 'perc_diff':percent_difference\n", + " },screen=securities_to_trade)" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3.5", + "language": "python", + "name": "py35" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.5.9" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} \ No newline at end of file diff --git a/11-Quantopian-Avancé/01-Effet-de-Levier.ipynb b/11-Quantopian-Avancé/01-Effet-de-Levier.ipynb new file mode 100644 index 0000000..80facfb --- /dev/null +++ b/11-Quantopian-Avancé/01-Effet-de-Levier.ipynb @@ -0,0 +1,827 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Effet de levier - Leverage\n", + "\n", + "N'oubliez pas de regarder la vidéo et les diapositives liées pour obtenir une explication complète !\n", + "\n", + "$ Leverage Ratio = \\frac{Debt + Capital Base}{Capital Base}$" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Effet de levier depuis l'Algorithme\n", + "\n", + "N'oubliez pas de regarder la vidéo pour cela ! En gros, lancez cette opération et prenez votre propre backtestid comme indiqué dans la vidéo. Plus d'infos :\n", + "\n", + "La fonction get_backtest donne un accès programmatique aux résultats des backtests effectués sur la plateforme Quantopian. Elle prend un seul paramètre, l'ID d'un backtest pour lequel on souhaite obtenir des résultats.\n", + "\n", + "Vous pouvez trouver l'ID d'un backtest dans l'URL de sa page de résultats complète, qui sera de la forme\n", + "\n", + "https://www.quantopian.com/algorithms//. \n", + "\n", + "Vous n'avez le droit de consulter que les backtests que soit :\n", + "\n", + "* 1) vous avez créé\n", + "* 2) sur lesquels vous collaborer" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "def initialize(context):\n", + " context.amzn = sid(16841)\n", + " context.ibm = sid(3766)\n", + " \n", + " schedule_function(rebalance,date_rules.every_day(),time_rules.market_open())\n", + " schedule_function(record_vars,date_rules.every_day(),time_rules.market_close())\n", + " \n", + "def rebalance(context,data):\n", + " order_target_percent(context.amzn,0.5)\n", + " order_target_percent(context.ibm,-0.5)\n", + " \n", + "def record_vars(context,data):\n", + " record(amzn_close=data.current(context.amzn,'close'))\n", + " record(ibm_close=data.current(context.ibm,'close'))\n", + " record(Leverage = context.account.leverage)\n", + " record(Exposure = context.account.net_leverage)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Info Backtest" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "100% Time: 0:00:02|##########################################################|\n" + ] + } + ], + "source": [ + "bt = get_backtest('5e99d5b574dcf245a1628f55')" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'5e99d5b574dcf245a1628f55'" + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "bt.algo_id" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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ExposureLeverageamzn_closeibm_close
2016-08-04 00:00:00+00:000.0030961.003300760.960161.410
2016-08-05 00:00:00+00:00-0.0026521.007467765.890163.450
2016-08-08 00:00:00+00:000.0026150.994985766.360162.050
2016-08-09 00:00:00+00:000.0015900.996875767.705161.750
2016-08-10 00:00:00+00:000.0000420.998992768.480162.020
2016-08-11 00:00:00+00:00-0.0027971.007279771.410163.465
2016-08-12 00:00:00+00:000.0059870.991420772.520161.970
2016-08-15 00:00:00+00:000.0007020.993980768.330161.870
2016-08-16 00:00:00+00:00-0.0007950.997210764.645160.730
2016-08-17 00:00:00+00:000.0016460.996850764.192160.370
2016-08-18 00:00:00+00:000.0000441.001224764.230161.400
2016-08-19 00:00:00+00:000.0002170.995336757.420160.070
2016-08-22 00:00:00+00:000.0007941.002406759.075159.990
2016-08-23 00:00:00+00:000.0013440.997335762.730160.340
2016-08-24 00:00:00+00:00-0.0005520.993571756.280158.910
2016-08-25 00:00:00+00:000.0038060.996406759.135158.540
2016-08-26 00:00:00+00:000.0086800.993440769.440158.390
2016-08-29 00:00:00+00:00-0.0009091.005754771.540159.740
2016-08-30 00:00:00+00:00-0.0004200.996126767.130159.240
2016-08-31 00:00:00+00:000.0021200.998379769.140158.900
2016-09-01 00:00:00+00:00-0.0035761.007524770.880159.580
2016-09-02 00:00:00+00:000.0018120.995739772.535159.565
2016-09-06 00:00:00+00:000.0094271.001175789.310160.210
2016-09-07 00:00:00+00:00-0.0065051.007876784.920161.500
2016-09-08 00:00:00+00:000.0059960.988005783.530159.010
2016-09-09 00:00:00+00:00-0.0044760.984749761.200155.670
2016-09-12 00:00:00+00:00-0.0000331.019942771.880158.230
2016-09-13 00:00:00+00:000.0007730.989815761.110155.840
2016-09-14 00:00:00+00:000.0043850.987785760.720153.880
2016-09-15 00:00:00+00:00-0.0009901.013132770.040155.710
...............
2017-06-23 00:00:00+00:000.0006370.9989661003.230154.230
2017-06-26 00:00:00+00:00-0.0079151.002252993.520155.225
2017-06-27 00:00:00+00:00-0.0061840.999259978.668154.890
2017-06-28 00:00:00+00:000.0059921.001239989.950155.390
2017-06-29 00:00:00+00:000.0002910.992604975.920154.210
2017-06-30 00:00:00+00:00-0.0049500.998371968.630154.010
2017-07-03 00:00:00+00:00-0.0178831.014753952.649155.840
2017-07-05 00:00:00+00:000.0133660.987060972.526153.770
2017-07-06 00:00:00+00:000.0043890.993199965.470152.455
2017-07-07 00:00:00+00:000.0018861.003163978.960152.970
2017-07-10 00:00:00+00:000.0047041.004924997.910153.510
2017-07-11 00:00:00+00:000.0006931.000555993.990153.270
2017-07-12 00:00:00+00:000.0015361.0012121006.500153.810
2017-07-13 00:00:00+00:00-0.0024981.001662999.400153.690
2017-07-14 00:00:00+00:00-0.0021181.0021011000.700154.270
2017-07-17 00:00:00+00:000.0045710.9958071009.650153.020
2017-07-18 00:00:00+00:000.0025871.0129541023.440154.035
2017-07-19 00:00:00+00:000.0094540.9815071026.214147.290
2017-07-20 00:00:00+00:00-0.0014881.0003211029.000147.820
2017-07-21 00:00:00+00:000.0067850.9963851024.849146.950
2017-07-24 00:00:00+00:000.0084400.9938161039.680146.010
2017-07-25 00:00:00+00:000.0026710.9981731039.450146.130
2017-07-26 00:00:00+00:000.0078470.9926741052.760145.270
2017-07-27 00:00:00+00:00-0.0119260.9996861044.849144.950
2017-07-28 00:00:00+00:000.0077410.9955081019.040144.315
2017-07-31 00:00:00+00:00-0.0139581.000308987.250144.640
2017-08-01 00:00:00+00:00-0.0012241.001045996.490145.310
2017-08-02 00:00:00+00:00-0.0011230.996678995.891144.400
2017-08-03 00:00:00+00:00-0.0065471.002374986.630144.870
2017-08-04 00:00:00+00:00-0.0012471.000390987.020145.150
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253 rows × 4 columns

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160.340\n", + "2016-08-24 00:00:00+00:00 -0.000552 0.993571 756.280 158.910\n", + "2016-08-25 00:00:00+00:00 0.003806 0.996406 759.135 158.540\n", + "2016-08-26 00:00:00+00:00 0.008680 0.993440 769.440 158.390\n", + "2016-08-29 00:00:00+00:00 -0.000909 1.005754 771.540 159.740\n", + "2016-08-30 00:00:00+00:00 -0.000420 0.996126 767.130 159.240\n", + "2016-08-31 00:00:00+00:00 0.002120 0.998379 769.140 158.900\n", + "2016-09-01 00:00:00+00:00 -0.003576 1.007524 770.880 159.580\n", + "2016-09-02 00:00:00+00:00 0.001812 0.995739 772.535 159.565\n", + "2016-09-06 00:00:00+00:00 0.009427 1.001175 789.310 160.210\n", + "2016-09-07 00:00:00+00:00 -0.006505 1.007876 784.920 161.500\n", + "2016-09-08 00:00:00+00:00 0.005996 0.988005 783.530 159.010\n", + "2016-09-09 00:00:00+00:00 -0.004476 0.984749 761.200 155.670\n", + "2016-09-12 00:00:00+00:00 -0.000033 1.019942 771.880 158.230\n", + "2016-09-13 00:00:00+00:00 0.000773 0.989815 761.110 155.840\n", + "2016-09-14 00:00:00+00:00 0.004385 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+ "2017-07-13 00:00:00+00:00 -0.002498 1.001662 999.400 153.690\n", + "2017-07-14 00:00:00+00:00 -0.002118 1.002101 1000.700 154.270\n", + "2017-07-17 00:00:00+00:00 0.004571 0.995807 1009.650 153.020\n", + "2017-07-18 00:00:00+00:00 0.002587 1.012954 1023.440 154.035\n", + "2017-07-19 00:00:00+00:00 0.009454 0.981507 1026.214 147.290\n", + "2017-07-20 00:00:00+00:00 -0.001488 1.000321 1029.000 147.820\n", + "2017-07-21 00:00:00+00:00 0.006785 0.996385 1024.849 146.950\n", + "2017-07-24 00:00:00+00:00 0.008440 0.993816 1039.680 146.010\n", + "2017-07-25 00:00:00+00:00 0.002671 0.998173 1039.450 146.130\n", + "2017-07-26 00:00:00+00:00 0.007847 0.992674 1052.760 145.270\n", + "2017-07-27 00:00:00+00:00 -0.011926 0.999686 1044.849 144.950\n", + "2017-07-28 00:00:00+00:00 0.007741 0.995508 1019.040 144.315\n", + "2017-07-31 00:00:00+00:00 -0.013958 1.000308 987.250 144.640\n", + "2017-08-01 00:00:00+00:00 -0.001224 1.001045 996.490 145.310\n", + "2017-08-02 00:00:00+00:00 -0.001123 0.996678 995.891 144.400\n", + "2017-08-03 00:00:00+00:00 -0.006547 1.002374 986.630 144.870\n", + "2017-08-04 00:00:00+00:00 -0.001247 1.000390 987.020 145.150\n", + "\n", + "[253 rows x 4 columns]" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "bt.recorded_vars" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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cbrwMM0pMkmLTaBqolFRIkoQDC1VI0uBDdfKAbOXTVQ1akT025PYZo6JX7eeH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UwjVkhPodTYWGHzAJov0BNiI3Qw9+yIP8BoDbY6ImJj8cNypdLApx5/A//i/3wKz7wy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1IEogfvu2XRjYmMW3f3QKx9+ccfy7sekc3xCwWqCyIwhqfCbo5PAsPvaXT/Lg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\nHuC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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "bt.recorded_vars['Exposure'].plot()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Exemple à fort effet de levier\n", + "\n", + "Vous pouvez en fait spécifier d'emprunter sur marge (NON RECOMMANDÉ)" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "def initialize(context):\n", + " context.amzn = sid(16841)\n", + " context.ibm = sid(3766)\n", + " \n", + " schedule_function(rebalance,date_rules.every_day(),time_rules.market_open())\n", + " schedule_function(record_vars,date_rules.every_day(),time_rules.market_close())\n", + " \n", + "def rebalance(context,data):\n", + " order_target_percent(context.ibm,-2.0)\n", + " order_target_percent(context.amzn,2.0)\n", + " \n", + "def record_vars(context,data):\n", + " record(amzn_close=data.current(context.amzn,'close'))\n", + " record(ibm_close=data.current(context.ibm,'close'))\n", + " record(Leverage = context.account.leverage)\n", + " record(Exposure = context.account.net_leverage)" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "100% Time: 0:00:00|##########################################################|\n" + ] + } + ], + "source": [ + "bt = get_backtest('5e99e723b7582d4574188c70')" + ] + }, + { + "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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MAxhCWmB1s59F/Bh6BabKGpieI9REVRpkCQRff3G/66IGZkgDaEL6yfpWGfaQ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nP9\nXZG4ht645K/JyUkGBwcJh8PEYjE6OjrsLklsNjk5STweZ2pqyu5SxAaZTEZNDCGTyTA7O0t7e7sO\nos1DpmnS09PD1atXrUMonU4BRsRFvnz5woMHD7hw4YJuUgL8WBOPHj2is7NTH2nnMTW2RPKb25oZ\nCjAiIiIiInnALc0M52x2ExERERGR/8wN4QUUYERERERExEEUYERERERExDEUYERERERExDEUYERE\nRERExDEUYERERERExDEUYERERERExDH+AhvtJR6waNGiAAAAAElFTkSuQmCC\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "bt.recorded_vars['Leverage'].plot()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Fixer une limite stricte à l'effet de levier\n", + "\n", + "http://www.zipline.io/appendix.html?highlight=leverage#zipline.api.set_max_leverage" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "def initialize(context):\n", + " context.amzn = sid(16841)\n", + " context.ibm = sid(3766)\n", + " \n", + " set_max_leverage(1.03)\n", + " \n", + " schedule_function(rebalance,date_rules.every_day(),time_rules.market_open())\n", + " schedule_function(record_vars,date_rules.every_day(),time_rules.market_close())\n", + " \n", + "def rebalance(context,data):\n", + " order_target_percent(context.ibm,-0.5)\n", + " order_target_percent(context.amzn,0.5)\n", + " \n", + "def record_vars(context,data):\n", + " record(amzn_close=data.current(context.amzn,'close'))\n", + " record(ibm_close=data.current(context.ibm,'close'))\n", + " record(Leverage = context.account.leverage)\n", + " record(Exposure = context.account.net_leverage)" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3.5", + "language": "python", + "name": "py35" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.5.9" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} \ No newline at end of file diff --git a/11-Quantopian-Avancé/02-Couverture-de-risque-Hedging.ipynb b/11-Quantopian-Avancé/02-Couverture-de-risque-Hedging.ipynb new file mode 100644 index 0000000..ea3f6b4 --- /dev/null +++ b/11-Quantopian-Avancé/02-Couverture-de-risque-Hedging.ipynb @@ -0,0 +1,775 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Couverture de risque ou Hedging\n", + "\n", + "N'oubliez pas de vous référer à la vidéo pour des explications complètes !" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "from statsmodels import regression\n", + "import statsmodels.api as sm\n", + "import matplotlib.pyplot as plt" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "# Obtenir des données pour la période et les actions spécifiées\n", + "start = '2016-01-01'\n", + "end = '2017-01-01'\n", + "asset = get_pricing('AAPL', fields='price', start_date=start, end_date=end)\n", + "benchmark = get_pricing('SPY', fields='price', start_date=start, end_date=end)" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "asset_ret = asset.pct_change()[1:]\n", + "bench_ret = benchmark.pct_change()[1:]" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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IHbzprrzySlxwwQV4//33sWHDBvzpT38yAqWdO3ca+6GkpAT33HOP8XvTp0/HySefjIqK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VAxauiJd+H1618DmUjYOd7KjHL2thnwRGIO5IExGFK5bd8lZ8PruiX6yfhrJyOJFpDny9qOeu+R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\nu+nbty8hISH4+/vrVUcG/hW8Ojs7c+nSJfLz8wkICKC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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "asset_ret.plot()\n", + "bench_ret.plot()\n", + "plt.legend()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Régression pour les valeurs de Alpha et Beta" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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kb0ZbmU/FZD7f8TJmUw3MRpYJOo5NLBa+EvT2kpfXHwTnklVSExuR2aGASkRE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\ngN4g6Ma+eXl5qq+vV3FxsfLy8pSVlaWJEydGo20AephIb5j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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.scatter(bench_ret,asset_ret,alpha=0.6,s=50)\n", + "plt.xlabel('Rendement SPY')\n", + "plt.ylabel('Rendement AAPL')" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "AAPL = asset_ret.values\n", + "spy = bench_ret.values" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "# Ajouter une constante (colonne de 1s pour l'interception)\n", + "spy_constant = sm.add_constant(spy)\n", + "\n", + "# Adapter la régression aux données\n", + "model = regression.linear_model.OLS(AAPL,spy_constant).fit()" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 1.67990248e-05, 1.02981370e+00])" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "model.params" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [], + "source": [ + "alpha , beta = model.params" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "1.6799024809993564e-05" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "alpha" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "1.0298136979465768" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "beta" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Tracer Alpha et Beta" + ] + }, + { + "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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0Ra21FV59NV2F6t5QwuuFu+7qClHMudR2vSQaHZHPN9PgnUlziaF+F6hxhcjo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\nAKHRZqDKyMgI5TgAv3CBcAQTDSXQvu54YdzT0UCmazCVFQBCgxX86FH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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Dispersion des rendements\n", + "plt.scatter(bench_ret,asset_ret,alpha=0.6,s=50)\n", + "\n", + "# Ligne d'ajustement\n", + "min_spy = bench_ret.values.min()\n", + "max_spy = bench_ret.values.max()\n", + "\n", + "spy_line = np.linspace(min_spy,max_spy,100)\n", + "y = spy_line * beta + alpha\n", + "\n", + "plt.plot(spy_line,y,'r')\n", + "\n", + "plt.xlabel('Rendement SPY')\n", + "plt.ylabel('Rendement AAPL')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Implémenter la courverture de risque" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [], + "source": [ + "hedged = -1*beta*bench_ret + asset_ret" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 14, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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GkjYiolRhwBMX1loTEVES2RfSJI8rRESpwoAnDpIZHiIiSiKnSxvn4SEiShkG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D0/9tgipxnwD/7pa/zr786CnvFnwIfL2tKDAxCClzbXcJbusrBipMQP66Z73JhmeIZHengifNtH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w6N8//ueVy8yhpbb7mbt+dU8Anu1GC69f3EaSShDojhghBHtRHYlMu4LwbFlJm5IZlLEVtBdt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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "hedged.plot(label='AAPL avec Hedge')\n", + "bench_ret.plot(alpha=0.5)\n", + "asset_ret.plot(alpha=0.5)\n", + "plt.legend()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Que se passe-t-il en cas de chute importante du marché ?" + ] + }, + { + "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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G0ZjWcLp3eOoWBwBwOByAaxTnxFBRW1t72nZ79epFQUEB27Zto2fPnpjNZncbANu2beP8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\njBjBihUr2LFjB76+vvbp+XvuuYdjx47Zp0VtNhseHh507drVkSVXWwUFB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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "hedged.plot(label='AAPL avec Hedge')\n", + "bench_ret.plot()\n", + "asset_ret.plot()\n", + "plt.xlim(['2016-06-01','2016-08-01'])\n", + "plt.legend()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Effets de la couverture du risque" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [], + "source": [ + "def alpha_beta(benchmark_ret,stock):\n", + " \n", + " benchmark = sm.add_constant(benchmark_ret)\n", + " \n", + " model = regression.linear_model.OLS(stock,benchmark).fit()\n", + " \n", + " return model.params[0], model.params[1]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**2016-2017 Alpha et Beta**" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Résultats 2016\n", + "alpha: 1.679902481e-05\n", + "beta: 1.02981369795\n" + ] + } + ], + "source": [ + "# Obtenez les estimations alpha et bêta de l'année dernière\n", + "start = '2016-01-01'\n", + "end = '2017-01-01'\n", + "\n", + "asset2016 = get_pricing('AAPL', fields='price', start_date=start, end_date=end)\n", + "benchmark2016 = get_pricing('SPY', fields='price', start_date=start, end_date=end)\n", + "\n", + "asset_ret2016 = asset2016.pct_change()[1:]\n", + "benchmark_ret2016 = benchmark2016.pct_change()[1:]\n", + "\n", + "aret_val = asset_ret2016.values\n", + "bret_val = benchmark_ret2016.values\n", + "\n", + "alpha2016, beta2016 = alpha_beta(bret_val,aret_val)\n", + "\n", + "print('Résultats 2016')\n", + "print('alpha: ' + str(alpha2016))\n", + "print('beta: ' + str(beta2016))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Création d'un portefeuille**" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Portefeuille avec Alpha et Beta:\n", + "alpha: 1.679902481e-05\n", + "beta: 1.36609473733e-16\n" + ] + } + ], + "source": [ + "# Créer un portefeuille couvert et calculer alpha et beta\n", + "portfolio = -1*beta2016*benchmark_ret2016 + asset_ret2016\n", + "\n", + "alpha, beta = alpha_beta(benchmark_ret2016,portfolio)\n", + "print('Portefeuille avec Alpha et Beta:')\n", + "print('alpha: ' + str(alpha))\n", + "print('beta: ' + str(beta))" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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fh5QSf/7zn/H1119j9+7deOihhzBx4sRWzxEOh/HOO+9gz549eOaZZ6DrOhobG3HnnXfi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pLx8DtXGd4w+43tUY+3rmxj5QE//iFzTTWOHyMPmmS5JjlE+p+pjGvdm7y3ffWObM0Hrf6bBrDU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BGDAxXCiFkDINhxEoZ28Wg0H4z3/8zSRJ/z3XC9vQAynrjS5ZypSlwh5Jm/JclNCV7F48fHKK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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Tracez les rendements du portefeuille ainsi que l'actif en lui-même\n", + "portfolio.plot(alpha=0.9,label='AAPL avec Hedge')\n", + "asset_ret2016.plot(alpha=0.5);\n", + "benchmark_ret2016.plot(alpha=0.5)\n", + "plt.ylabel(\"Rendement quotidien\")\n", + "plt.legend();" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "1.6799024809993652e-05" + ] + }, + "execution_count": 20, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "portfolio.mean()" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.000574549568770769" + ] + }, + "execution_count": 21, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "asset_ret2016.mean()" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.012065447808277703" + ] + }, + "execution_count": 22, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "portfolio.std()" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.014702747344261722" + ] + }, + "execution_count": 23, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "asset_ret2016.std()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "_____" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**2017 Chiffres clés**" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Résultats 2017\n", + "alpha: 0.000968854542346\n", + "beta: 1.26769880296\n" + ] + } + ], + "source": [ + "# Obtenir des données pour une période différente:\n", + "start = '2017-01-01'\n", + "end = '2017-08-01'\n", + "\n", + "asset2017 = get_pricing('AAPL', fields='price', start_date=start, end_date=end)\n", + "benchmark2017 = get_pricing('SPY', fields='price', start_date=start, end_date=end)\n", + "\n", + "asset_ret2017 = asset2017.pct_change()[1:]\n", + "benchmark_ret2017 = benchmark2017.pct_change()[1:]\n", + "\n", + "aret_val = asset_ret2017.values\n", + "bret_val = benchmark_ret2017.values\n", + "\n", + "alpha2017, beta2017 = alpha_beta(bret_val,aret_val)\n", + "\n", + "print('Résultats 2017')\n", + "print('alpha: ' + str(alpha2017))\n", + "print('beta: ' + str(beta2017))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Création d'un portefeuille basé sur l'estimation du bêta de 2016**" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Portefeuille avec Alpha et Beta hors échantillon:\n", + "alpha: 0.000968854542346\n", + "beta: 0.23788510501\n" + ] + } + ], + "source": [ + "# Créer un portefeuille couvert et calculer alpha et beta\n", + "portfolio = -1*beta2016*benchmark_ret2017 + asset_ret2017\n", + "\n", + "alpha, beta = alpha_beta(benchmark_ret2017,portfolio)\n", + "print 'Portefeuille avec Alpha et Beta hors échantillon:'\n", + "print 'alpha: ' + str(alpha)\n", + "print 'beta: ' + str(beta)" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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R8SqFJYm5kLk/LGnNkoiIiIh4lcKSxJxl7d+I1nEUlkRERETEmxSWJObCjcKS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\nbYEfhp2eXYcF0RqU4gV3VIbnhQEKdL7/sfwYduBwceEyL06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37OabDbmr99wOJavCTyYi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\nJ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B+l2sFtNFAW5iHgvp3Z9VGqdfjTv7qJpsj86qdPU7PqCB0LSRQ3dJYAIpk8gi/TmZ9H\njMdIP/E4aiaDU2/08839YrHY5Os/muRP/vImgWSTSawpsumyhqHL+EEoatOL3jB+4HmY7+IQfG9m\nKdo163z0WJeKt40qXhAEdJaWqPsmZlTlUGbfJrNYw0jg+O6WxrR2s4nteNiSHm4uJQklEiUfkQkE\nly++OoHp2FQWZ4nIGvGh3dlpiKKIquk4uryjyhvAzGId5G5nSduaM2+tlqhevhLOdEgSlUuX++Bv\ntKsqtpV8uD0X0jHloc1eZrJhMPD8swRBwOrZs1uCyfWRjIRgqVyv05i4Q6MWXgOxyP2LPV6nQ2R1\nEVtSKEdC5kHZXPu+aqY7t7SNMI7lev3OkqgoxLqeOw8avevaPjpK9NAhss8+zehnPs3gyx/A2LOH\nhh0CwaSWIJ7I0NaE0Oz4Aehm94teZ6mjdNdBrzv3uM40ODI8TPrxxzCkgGMrSzQbJs1tmCvNjkMg\nuKjKmt9VZ2GR/MxVNBNKzea2FL7dRu+8mIYeslwkFdfzdjWPB6EkO4AzmsW0PQhEUvHNtPPezJIa\nBAQEFKsdXN/B0BVUSWFvJpzpK9TDda/cqbNa7ZCJJDlzJMdTp4dYXhSo1jxmqnMPJHxjNsPrP5mK\no+ihqIB7T2fJaTTQbs8jnr3GtT//vyj+4If4d2cxCyvIsRixI4fJPvs0I5/6JCM/9SnyL76f0c98\nmqGPfpjUex5Fyg/QadaRZiocLCxwdLHA69fXwM7kQoXAtkkaGpK2PS1fEATSTzwe5oKLlzbl+qwW\n4FkaSiwRUoFdH8GXUJJhYUXSdSLD29Pg0o8/hhyNUr85tm0hRZZE/t7TeURR4KtXKpRqHXRFD2c1\nhQB7i87S5ckFBMXl5MjolkXzeyPwPLTVJQIB8kkddX4KQRBQRHnXomO7iYbZYaDeua+n34ML0v9/\nLFqyjOIGxOQAq0tP0/JrG+HEyRO0pqep3xwjsnfPjhzomBZFV6VwAK9k855jOdKPP8byK1/CLFRp\nO52+WEPgeSEdThBwGw1WX3+D/Ivv57Wxa3i+z5nhY7vmW2d8kcDxsF0bp1LlypJNo23z2sV5PnJQ\npWG1CGIDnModYRaF6o8uUj37fa4JRRQ5zyuvLRIzEvz6zzyMJAqhZKRnYVoKUimyYjQAACAASURB\nVDSKXXcJvPDijXVnlkRFIZGMo5UWWKpsDZYujhe4OF7g2L4073/P1uaio12wNLcSVg2lLSqzkiQS\nsR18Atq6gCgIJNZRUnoqdEf3pYnGB6hdu0FraorY4fsPW7vNJl67w77j+/jssWG++P3b/JsvX+Wz\nnwgX7fWzZqZrUe5UyUWzG8Qlzl1fQhAEnjq1tXdSDySW6yajhwdZ1BVqK4vku+p/y40izvgSY7fu\nIhoxvKEzqNdXUBUJRZZQFRFVllB6/5VFVCX8u6ZITM7XWFpt8r4Te9G1IvlulbjY2LhY+Y5D5e1L\nIa00CPADn6bdpmbWaVotfEJQkpVDmmNCi9MwW/yosoo24HFk/8PcuuMhivIGsYmBbAhclwpVCmWV\nwSMqoiBs6rbsTQzzztINopkOJw9muHqnyNtjBZ7sHrfevNLhPQnK7Sr7h+K8PVagXDfJJteAo12t\nYi4t4yQN/IRBWt8IVhKRBC98/Bc4+4Ovsjo2yTtf/gvOfOwzGCMj/edML9a4MlHkwP4op9Q4e1Iq\nZ37ucSRNC2lbgoDhgWEILG1BZ1wzo9V2AEth+tS76o2DmSiu30Z2A0DAXlpCF+RdgyXfD/i3X71O\nx3L4x588zWxngqpZZ6+cRBZbyNGNnQcjlwVPwQkCvEePIsoyajaDWShglytEhjdfr0EQcHe5zts3\nC1wYK/TntSRJZM9hjZGBRF+RTZM1orpCINoUKx2yyQi+4+A0QmEY37LozC9g7H13jIWbbQddF/Hw\nkBB57ESev/jOOF/8/h1OHMiwJ7/RsNWp1XBbbYpRH1ESOZjeXHwytNCY1m5tpuX0wZKohXLLgBqN\nklElBuIKZ68t0qLMYb9BXIuh57eXpr43dFnDjij43WLFdh3kmaU6iuaFIh5bKLp5lsXqG2dDE8nn\nnmFJFPA7JtV3LpN99hn25cIK9Mo91hKB5+EvF7EVeVvPE31wkNSZh6leuUrp7HlyL75v285Zqqvs\n2Lw7Q6XdJuhWxBP6/Qs+9fFb6LJAITGC0pQBl2qn1i9IbVTE21zxdnpgSRIRZIVoRKHWfHBTyrga\nRQCaMZnsmSc3Pd6jLMW1KCknwXLSwDTb2JUqWvbBfcYm56ucvbbEZ1860p/jdZstRE2jQ/j9fafX\nnd64FYsfPYJTq5F9exJnamFbGn6vs2Soar9Q0LwzScxqcHy5QGOfQttuP5DZ8b1hl8MiVyeiIuDT\nUSLYbh2rfH+6r++6tKZnkHQdMxPFHoeorqLIm4f7RUUJu8G+D0LA/EoTBK/fWUpF4kR1mVIzLLDd\nWS7guD5n4hqVdy7zsSMRLl7zmJwQST3hMl2Z5fjA7szbbTMspiSTMbSIjlv3ce8pIHiTd9HnVhEl\nmZWExN5jh5GyaUbfvz2VXhAE1HQaNZ2mPGjQzLWojoE9e52I1eTt8QXMF110TebKnRVk3yMVjyDe\nRzhFicdJPnSa6pWrVC9fJfv02vWclj1KCIxkj3OLQij+4qvo0QiZ008gRaM7msaKikLmmadY+f4P\nKJ0/z9BHP7Kl+FTMbnDmyACXaxH++KvX+O//wZOoiood1/sFu95xqTRMFqorDOyLMJrcnXdee3aO\nqBzw6AefZlgMx2XiJ08gSzLOu6QAC9BqNRlsdohnUuzUK/1/BSz97u/+LleuXEEQBH7rt36Lhx9+\nuP/Y2bNn+f3f/30kSeJ973sfv/Ebv3Hf1+wULUUh5gdojkm1WERUFJTU2rC2kohj7N1De3YOc7mw\n5QajF7IoYSg6ZqfBk3GNgwfy5J85w19/+ZuwWqdlt8lFQyUpu1wmcF1iR4/gmybtuXlWzp/nUmEC\nPJkXTmymrG0XWT9UK7M8B7tc5spEeGO3OjZjY9N0XJPkwBAPDZ7gdP44i8IgC2+8TnF8nq+0ZrHj\nDs89eoDZ1hTIo6RjGppn0bEE5FgUu2LjuiFwi6/zMMrkM6i3PRa3oOG1TYc/+6sxJEnklz51estZ\nJAjd20VR7NLw2EbgQcCwHYIgoKEExNXYhgrx7dkKEU1mTz6OJArog3nM5QJOvYGS2H4RCIKA2tVQ\nWUgbHOQThw9yY7rE9alVPtwIW/rrO0tLjRUC2ODXsVJuMzlf5dTB7JZDqbDWWSrXTc5E0szHIzQb\nVbxOB1MKqJVXqZyfYbmdZDy7B/tHu5uRuzdeeO44XCoSc3xkSaTcXtvkW6slSufO4TSaWLpERbQp\nd2q4qgeaTEQZYjCaIRfLoqsRQIDAZ/6NKyTKAZmTMpOVaQTXQ7pnZikaM1BkkXKlAeRJJcNh4nvP\npSqrjMTzzNeX+czLx5n4XJX/8O1xHjo8gO8HzC43OL4/zXxjgUtL10nnBmEsFHlYD5YaYyF3uLN3\nAOiQ2gKsRFWD933gZ3k9+k0ql67zzjde4eEPfpLEkSMAfP1H4TzNC48NYV+8gSJH10QrRDHkWNeq\nxKMqq8tNmm17g3/XmhJefBNY60XP/DARkzgwkuSxEwNUgwKS6wEygecxbDss7IK6BfDX52cYmynx\n6LE82dEm46uLDBgZjtk6LSaQ76HhxUcHaShZ2G9QFDrsB9Tups4ul/q5zPcDphZqvD1e4IcXirSd\nsFooyxKPHR/kiVODPHI0y7enXiWlx/tFHFmUiBs6iG2KlQ4nDhBWk4OA6IH9tGfn6CwuEvj+ruhp\n94tm20FIL/CjmfO8fPgFMgmdX/nUQ/zxV6/yv/35Rf7HX3mmT3mFsILecU1qCYWR+NCW5puGEqGs\nKphbgCWn1cRyfMRUjES0Sz+OGKiCwAceG+Syl+LSzA309iInDx7vd0B2E7qsUTMUglaAU6ttCZYu\n316hUG6ROSIQU41N5q5BEFA69yZeu03yzEPoQ0MIe0ZRyxVaM3cx9u8jNZgjosmU75kr6ywu4Vo2\npZhB3Nge0MRPnsBaXaWzsEjt+g1SZ7ZeVzPROAQB3tQ0DA0SFIsICbUvj79deKYZCtnEDMThJOVS\nuAEtd9bWFCWVBEHYVuTBdl3UIEASBERFJqorLK2GokHbrTtbhSRKRFVj23mW3t/jWgzLtZlPxzDn\nTKxi8YHAUhAEvHphlr/4zi08z+fIniTPPjxC4Pt4rRZKOk2ru+54jgL4RPXNm9H0Y+9B/e5VYitX\nqV66Bns20/ZDgQePaJcOGfg+VrFI1FDRbR/11iyNTv1vCJbC89KKqBBYeIKCJcuY5fK2diC9aM/O\n4TsOiWNHsYJFTDNgcAsKHoR5WVTVjWBJ9DB0GVVSUGWVRCTCUrNDs+Nwa2EZxXE5UVuiMV5HBj7m\nLjF50cUWVaYOmhx6chglsvM1CmC1w+5MKhVHNwy8ANqtjdRHt9UGBA797Ge5uHqLubSKSHZXM8fQ\nVdkVRaarEWJKlL3xBlftDj98Z4GPPLOfq5MrKH5AOha5r+ATQPz4MVp379KamiJ6cH+/mJOSPUqA\nqGQ4mYtze2kZgg6GLhM7sjvwqOfzJE4cpz42TuXS5Q1gDLrX2UqRw0dHeKg9wju3Vvj2uRn0vIYZ\n16AB9mqJyGhYwLx+p0SgtsinDfK7nFdqTEyAIPD8x57FqdUo/ujH1K5eQ5HkXSk07yZc30NZrSD5\nApnjR6jY2xc2/9bB0oULF7h79y6f//znmZyc5Dd/8zd55ZVX+o//zu/8Dp/73OfI5/P8wi/8Ah/5\nyEcol8s7vmanaGOQVUzslQJus0VkdGTTzZ04eZL27Bz1mzd3BEsATxzbx+rkHR5JpzAO7EdRFWKD\neVorZQqFFQ50q5s9eoo+NIg+NITbbjM/dgW/XCaiHOX4/t0n34zn0Q5CdSNztcS1O21kWcJ1PW6O\n32ZIhqGhUFJREARGTp5Bml9h/vUxFCHFk0/nyGckbq1OcWt1imUcFBqYtoKoh6pNntulA6yTq4yn\nU0QViWuFEj96Z573reseffH7E1SbJp958UjoNr5NyJLIYMZgqVyDDFsuboIgYFguPh62oZBfl9hr\nTYtCucXDh3NI3ddGDx7EXC7Qmp4m9cjWc19BEFC5eIn27CxabiCc5xAFHjkywNh0iXo9AOFesBSe\ns/X+SudvhIPezz08wnaR6W70SzWTAeMgXsKgU29gl8osGy61NyfwOgIjzz7BR547g+36OI6H7fjY\nrrf273X/td3u407YRt+bj3Hk6DALV2XEVoeYrlFrNvF9n+b4LapXrwFQ35NiLGWDGMFQhtiXHGFf\ncpSUnth03fu+z8SX3yTVktizZ4Cm3cZwPERZRpDXUoOsamiqhNSVqE7EJXRRxSquomYzGzbK+1N7\nmK8v0xEqfPK9h/jqD+/wlR/c4cT+DBDOK/V8JiLxMOHdXa7z2Ikw0XumSXt2FiURp5aQkB2pL4l7\nb2iyyvue+QRvRCLUzl/kyne+xqnmB2kNHeLSrQKH96QYzmvM2g5KOrrh90tGBGU1IBZXKEo2S6UW\nRzeApTpKxCWqy1uCNVjrLAVCwD//tWexXZuvjt9AWqcEONjqMK2I2I6HqmxfzZsrNPjC9ydIRDU+\n+L4E46vjxNUoz+97gvrChfDz7qHhpVIxJlKnOBIrs9QoEgQBaqZbrFkts1xq8d23Znl7rLBGo/N9\nnn54D0+cGuTMkQF0NfwNTauFH/h9qlJvE5SORgnEIsXu3FBvQ6t250yadyaxVld33XVx223MxSWM\n/fs2VCuDIKDRsTFyTgjyPRdZknn+kRGqDZNXXr3N7/35Rf7ZLz3Vr9KbS0tUOjW8zH6OZLZ2tY8o\nOoGmYNsdfMfZ8JlWs4HjeqSza5LdkhFBFiSwTf6bX3yU/+Hzl7Fn27wtexxG4P5it2HoskY5FsFt\nhPLhPYGFC+/8gEa7Siz9FH/05evISsDR/fEt55XqN29iLi2hDw+ROHUKWFOtWv72dyhfuMjwxz9K\nIhJhpdWmbTr9Y9OcuIPreZSN2Iacfm8IgkD2madZ/uvvUL9xEy2b7W9w1kcmHiXZ7uB2PISRYTzL\nItHxSRk7y+3Wx0K12cTJk+RbdZYm2oiBTKWzRiEWZRklkcCuVLcE3rbrEQ0CRFFEkGWiEYUgCDBt\nt/97dwrfD5hcqHJoNEVCi7PYKGC59oYZH6Bv/hpXo+GamIphTtdDRsqJ4/f9HICO5fK5b9zgrRtL\nSFL4OxaLXfP3TofA95FjUVp2G1EQcB0J8DfJREMIHozHnmLh1Vu0bk3RmLhD/OiRDc+pt+zQtLUL\nxp1aDd9xiB86gHWriF6fovzGOUY+9pkduwk7hV0uhZ0hwYFARAgkOpqKY7bxOuYmoYD10bwzCYKA\ncfAA5vQMtg2pzPbgQtJ01CAAAhaKTQLBw9CV/rnKxpIslhosrjaYXV1l/0qD3LFhEqdPIYgip7Q4\nC9+5jHWzAZUqt6ZqZHOjaPkcWj6Pns9tSX93TRtPkEgmdDRDpw007jETX5wvUV5ucFLIk9AWmK7M\nMuRtVkndKnzfp9AsIgUqC8s2z+czZNQquu/w7fMzPHV6kJnlCo+oEoos70jD60XovfQkhe+9SuXC\n2wx99COhUIkQrtNVR+KFwcOIrRxf5wKG/mDb/eTDD9FZWqY1NUVkdARjzxoN2SyE86rRvXv45Yce\n4rcX3uBLr03ws5+NYMY1/HoI2nu55OqdIr7SZl9uiPh9PNEArFIJu1QmMjqCHIsiRQ203ACdhQWS\ntsMS746su+3aRFdrKLJM7NABGB/f9rl/62Dp3LlzvPzyywAcPnyYer1Oq9UiGo0yNzdHKpVisLuw\nvPTSS5w7d45yubzta+4Xdd9AUx1ak2GluTevtD7UTBp9eAhzaRlrtYTW9RnZKn7msecoNj3k1Xrf\nK2LwwF6mVsa5e2uGp088DhC6hAsCej6PKMtknn+Ot25fYmCxzIHTSWRp95XYtOvSFAXansvi9CJt\nM8qLj+3lxlSJ4vwC+X0aI7k1Coogikzoe5grXuDxrMI//NAvIsoiy80is7UFCqVJFGmVRpDFEcKN\nXU9cpEfDA9BicUYGokQDlz/95hj7hxLsH04wMVfh1QtzjORifPK996fCjeZiLJbCxbHXjQg8D3+1\nRPnti5hLy+QaTXxdwje0DeIOE3Ph647tW0tKkT2jiIpCa2aG5MMPbVnVrt+42ZXmToYKQ93N/2C2\nK+dcdSEdygJDqAq33CwSV6MbNi7nry0jSSKPn9x+MxjVZVRFolw3iSg6aiZNe3oFq1Ri8u4c5t0i\nrnGQT//cC7ta3HcKJZnAqVRJajGqzVUW37qEPz2JFImQffZpptpT0Crx/gNPk48ObFn1sxyPKxNF\nzl9bYtVReSQT8HT2KGdrtxBcFzmqbXidrGpoioQYeAT4JGIy+mqDwsVXiR48QObpp/rPH47lUSWF\n2doCH3/+Rc5eXeQ7b95lrhDSMI/tSzHRDjnsciSs5s2sE3lozdwl8H30Qwep21NkIqkd+c2KpPDC\noy9zTtOpvXGea298l2nvIBDj0y8cxnQXEG0H7Z5cIRkGmqSSkkUCyWZptcXRrkJf23RYLjfJHAmI\nadEtxR1gbWapZyzYmw3ogSU1nSZlWSieSqneYji7WVEPQprRH335Kp7n85kPD3G7egtNUnlh/1Oh\nslqrhSBJiPd0J4ayUQQErIZOxzWpmnXSRhLJMLBKJf7DN24wdreMoSu899FRnjgxiF2b5emnHtn0\nHerdeY2eIlvp7DmceoPsqAGCy0qlO5jeBUtKOo2oazTvTNKZX7gvWHJbLepj47Qmp8KqZKm8oVpp\n2R6u59LDMnWrScYI7/mPP3+QcsPie2/d5V9+/h3+u7//OKLn0l4pUNZ94vFUv6N/bxhKhECVcaxQ\n5GE9WGpW6niCwHB+7bVSJIIkSrjtNg23ynN7ozRvxbm66lP+8lX+yc+c2VXu1mS1K/LQ7os8NCYn\nqbx+lkqjw18IVWRxD7/y2SPcdW72QWovzOVlatduIBkG2Wef2XA/qqkUiVMnqd+4SfXKVTLRGIVK\ngeVSi0OjKTpLS5iFAo1YhLYYuW/OEVWVgfc+T+G7r1I6d56hj364b37ci2wsxnC1gS0rpB57D861\na2Razo5Gjr2ukmREiB0+xODUbQQEBE+n5TQ3ABY1kw5plY0GSnJjccJ2XGQCBFkJrQy6a1Sz7ewq\nn77y6m2+dXaaX/7UQ6RHYiw2CtStBjl54zVTt5pEZB1FUkhpcQJdxVQErOLqfTsoEBY8/tUXLrNc\nCnPJpz+wh//18z9mvhjmvp4JvByL0bILRGQdyw6p0dttZEeG0nwrN8p+r0Tl4iWUeAx9aK2g2zBD\nv6tEt8PXmzHR8jmCYw9THlukPrdA+cLbZJ95+r7H6t7wOh28dgdteAinVSNkJIi0VCUUeahVtwVL\ndrWKXSqhDw8TRDQs2wVf3lIJrxeiqqL6AeAxv9Lodpa0fg4eTCS5JswxvriIvbjCiO2S2jMU7gME\ngeRDp/nrdo6Lt24j56sYEiRbLZw79f7slJJKkf/Aixs6Qp5p4Yky6bhGNGbQBpr1tc5SEAR0ai1M\nUeavXp/h0x86weuzbzPTXuSFXRzH1U4lnJ1sxBHosH9vHmH1LkdzOtenOvzJN24QCB4ZTUJSlF0D\nW20gG0reT9yhfnOM5MMPYQQ2rihTNsP1qG2GlLWI9mB7D0GSyD77DIXvfJfyWxfQshmkSIT27Cyl\n82+FIHjfPiJRlY88c4BXvneLcsVFTUZx5xpYq+G16PkB12YX0BMCx4Y2Nyu2iubt0OspdjT07BQE\ngeSZh1l59TVGSmXm0hFcz0P+CQsAvahXVok02njpkU3MjXvjb13gYXV1lUxmrauSzWZZ7R7UrR4r\nFos7vuZ+UXdD+dveAKu2zaKeOHkyfP7N7RVAAAxfQi41UDNp1C6d78RDoVdS8W44UOs7DtZqCTWT\n6bdT560S48NZfN/gZHtxVwpEvfeK+R4tTaOhSSzeLSD6Ho8ey/HkyQFkt0lT1Da02ReLTf7sjQXq\nySGeO5ygMzmJJEqMJoZ4du/jnMkdQ/UdFr1qn/vp2OEFHIusVTTUeBxVkXnmaBzHdfmDL1ym1rT4\n3DduAAG/9MnTu9o4jOaiIISLgiQItGdnWfrmt/Gu36A5cQffsqjFosyM5kEUSWrrwFJ3XunYvjUK\njCjLGPv24rU7ISi9JxoTd6hdu44cjZJ7/0YPo6FsuKgUyha6rPY7S8VWCdf3NnSV5goNFooNHj2a\n23FRFgSBdFynXDdDo8jBUVzfo768wMwP3sL3JR7/1Mt/Y6AEoCQSBL7PoKwx0Giw/M5l5FiMoY9+\nGDWfo9KpkdBiDMZyG5KS43pcHC/wh1+8wn/xL17jX3/hMhfHC2iDQ5w4kCHRcDkxcBjZAz2yMWko\nvc5S4JJMyOiajNrtVLSmZ6hdWfP2EkWRfckRTNeiYlb4R584RRAE3JwuIUsiuZzQH7y1gzbJmBKK\nKRAuSK3JKQRRxBvK4AcBqW0ocOtDEiWeO/UCAx98iYprsTp9kf1Dcc4cHcAy2+AHaMbGzZ9sGKiS\nQkIK+mCpFzNLdRAdknGJzBb+Sv336HaWeiCpB5pE10eQJKKHD6HJMtlGi9XG9qp9X3x1gvmVBs+9\nJ0NVnkFA4Pn9TxDrDvy7zSZyNLq5Ix5VySYjlFZEWGd2qGUzuB2TudkVRnIx/uC/fYlf+/TDvOd4\nHlnavFA5nsNsNRS4SWgxOl2VJadaJeOHHdiVrjGtXa6EQgiJOHo+jyDLdBYWt/XrcVstym9fZOkv\nv9nfOMuxGK2pKax1IijNjgOii9qdZaiuUyYSBIFf/MgJnjw1xK27Zf7NV67RXlym0q7hZOIczuzf\ndgHudZYc393ktdSuNrBkmdHc2jnugSXRcpiuzqE1Wjx1fB+5g3u4cHOZP/zilS0NYPvvaTp8+bUJ\nLFPANzQ8fJxajdb0DMU336TS6LBYbJL1ZvnPf/4k+XyYE9bLhrvtDqtnzyMIAgPPP7clzSd5+hRK\nIkFz4g4jASD4zK/WCHyf6uUrIAgsDWYQAnHHzlIv1HSa9BOP4ztOaFh7jzRv1G4Tb1tUIzqxI4fp\niAKpZoeEvn0FvDF+q99VEiSJoa6SqGuGr6msF3nYwZzW8T0U6APdnhhCy7z/3MKl8ZW+jcHF8UIf\nlDbuoeK5nkvb6fRFNlRZJapEaMYVfNumMX4Lu7q9IfobVxb55//uPMulFh94epiXP6Qy1nwHIbXC\n3UrITnC7VFDBiNBxTaKqgemE77cVDQ9CNVlbMpgazeP6oZnweg+cRifc0Me7s2M9qXMtl2NvboA7\ngwNUZYnW9MyuRZHWh9VVWVQyaTwvgECAQKKpKPiBj7ODD1UPnMSOHMLybDq2h7CNEl4vJE1DEgQk\n32O51AbBI9Kl4QGMdK+Tc+Pj7Fkpke4K26y//3/qxaO05CzX/QyF00PEPvFBBj/0MqlHzqCkUjhd\nELc+PNvBE0USUY1Y1/JhPQ3Ptkw8y8YRVd68sYzoxMkZGcp2lWLr/uqjy93cvFII90uHDg0iiRKH\ncmFh8spEEQSfpCoh7dLouRepR84gRSLUb47h1Grovo0la1TqYb7rmdc/aGcJQE0lST1yBt+yKL/1\nNrUbN1h94xwIArkX3ttnYh0YDguBlZoHsgSpOFZxlcbEHRaLTZpelVw6wmBsa0n09bGeXaIPre3H\n9HwefXiYRKdDttnqe779TaI4dpsA8Hbhn/e33lm6N9msr9hs9dh277FbcQQ/iPTpK6KioKa33vxo\n+RzaQJbOwiJ2tYaa2nqT1ro72+XsH+j/7fCJA4iSRLurtmetFCEI+ic6CAJul6aY7/j48VP8VEag\n+OPXGfrwy5sqePeGXS6jKzItxaAqg1dqEo+anDyYIbALLBKwaq5VnG3H419/8Qq24/GRX/wQ8clL\n1K7fwNi/D7lbfTqdHuUdT6YsdPqeAT3hl/WdJTkaI6YamIrNi89m+OG5Cr/9R2eptyw+8MS+DQBm\np+gp4sU6JqN3Jll1bBAExJER8h98CS2bZbpYQI+E53uDEt5cFUkSOTi68XxEDx2iOTlFa2pmg7KL\nXa5QuXgJUdPIvfj+TVWvfNoIFXXKLQ4oEWpmo2tEGyazkcTazXnuWrjIPbOFt9K9kUnqFMotbMdj\nIJmnEtGYGL9Ju9TAyh3ghfee3NWxul/0qq57mm38Ypl6NMsj738BSdepmXUc32WPEZ4X1/O5MVni\nzZvLXBov9JNmLm3w9Ol9PH16iJGkwuJXv465vMzDJ18kmbqKes/QtqRp6KqMZHkMj0QAG6VtAxJy\nPE59bBxR00icDOfw9qVGuVO+y0x1nmcOP8ZTp4d568YSR/emqVjh4hpTDZp2m8FhgdsTJo22jdpu\n4NTrGPv2Ug/CRK+LBv/Hf3qHtuWiyiKyJKLIYl8YQ5FEZDn8mywNMG0ayJR45oSHIAiYrRYiAuo9\nYEkyDGRRJi0FIHU2yIeviTvoO4K17TpLouMhxjWMfXvRVJVsrUR5G7B0Y6rEt8/PkMsq5A9XcH2P\nZ/c+3jdE9iwL33G27IgDHBpN8tZYE9NyWGoUOJU/iprN0hibRGnXObLnwLYFjSAIuFud52phHNO1\niKlGuAE4+4P+c/Ryk4gms1IPfdmcWg01s0a9jAwP0Z6bx63XN3QE3GaL+tgYranpLvUoRuL0SaL7\n92OVSqy8+hqVty8y+OEPIQhCqOoluihK+L51a6OMtCQK/PpnHqbesrlwc5nhwgSpoAq5Y+xPbS8w\nYSgRfFXB9dobvJZ8x8FqmdiS0hehgS4NT5QQbIelxgrxuknCyPAbP/8C//sXrnFxvMAfvHKZf/pz\nj6LIm4/rn//1OK9fXuBZK0pmj4hv6NjlCqU338IWAs7Fk+xftXkyLlJjDqww1/W62YHnUTp7Ft+y\nSD/2nm1ZDoIkkXnmaQrf/R6jiwUkz2euWKE1E6qURQ8dpDF3HQJp10Wa2KGD2KurNCenqFy4SOap\nJ/oVbmdqEhGJ+VQI2kuGTqzRwiuvwhbKWp5p0pi4gxSJ9IV48l2wZLZk9cfK/AAAIABJREFUIjGo\ndKprIg/rFPHWr60ArushB0EfLPUoa/eTD18pt/njr15DkSWiEYUb02V+QQzpmvV71OV6FLz1rIJU\nJEEhbeAuuiEAvXwFUVHQcjnUgSxabgAhkeQ/fu8Or12cQ9fhwy/H+L/Ze+/gSPP7vPPzpn47J3Sj\n0chhMAkTMGF3NgdySa5ISrQsmaZ8EnV23dWdT6WzSnW+sqtc1oU/bZ+ss1RXdeeSLdEWFS1LIpcm\nKXKXG2bTzOzkAGAQBkA30DmHN94fb6MBDIABZndFVbn0VKEwtdvdePsNv983PN/nEf2rPChbuGXV\nmYlcLznqap3Okq5K0HLmLttaBVEUUV27V8iTMR+YLrKigTJ9HOvaPbI/eovE519BUlVq7RaKLOJV\nVMdHMpNF8jgFicF4COuezIP+GKfqEsVLl1F74weesYFNcQcpHHKKBLaIYIlUJQXTNPc07TUaTUfY\nwevB099PvlmirZkdj6W9E2xRdSEJIrJtYloWLpfgrPUdD6nhzvNgLt1F1Q16po53i9YbODQYZmo8\nxo0HNQpjTWaLSzw5OI0a60Hyesm/+173WoDzzJm6DooPRRYJdqwy2vXN9aJcLKIbFqbPjW3bfPud\nBf7WK8e4PneT62t3+Mz4s4+MSdPVDJIgMr+g4/e6GBiMkboi4bLanD+W4MPbawQDMm44sJ1I95wp\nCpFzZ8m9/Q65ty/icYm0JRfFqhPU1VsfP1kC8B+edOZDU86P7PMRe+G5bed9pJMs5Qo6iSGQpo8h\nfnCb4uUrLEXGsZUGkYCXhO/R80qWYVC9N4NtWfgnJ3ec08iZ0wiv/4ixTJ7i4hLB4wef/X8YtmVR\nnl3AFEW8yb3HLDbwY0+WEonEtq5QJpMh1tHPTyQSZLeYwK2vr9Pb24uiKHu+Zz/oTYm6bJFKpRCj\nUdY/+mjP11q2hZlKsfatbyEd23kRbNvGvHQFmk0yxQLC5cub7/V6ECtV/vKH7xDMrmKlUqz3xhAv\nXyavlbhVmiObkuiP9lAK6+RnZln9xn9EOju9bT5kxzEtPaBRK1MhzEK9SqBdZjDSx60b11havI4k\n2tzPiLzz3oe4FZHvf1RifrXB9JgPyciSdimY9xZI/8l/QjruBOxWPg8tH0XN4o3rb3fOdRBN97Ew\nd5dCujOLUatB3aSUWkMfk+kL9/EgW8PvljjUU+fylu//KBTLOlKzwpH8Gqhe1voTiONjSB4Pt5aX\nYXkZ0zBotQwy6XXutG4jCAKaYTGzlKMvrHDz+tWd16JUgrU1FiUBQXF47OZHV7ErVaTTJ1mfndn1\neDyKxcJKnpHlGnmtxHuN97lWuYtpWyy15lkWFp0h3fczYNlY9RUuX360tLzZqqDpOm9evITsbpMz\nWtRWi2iiwMCJQ1z96MqBztV+sPIFzFQKuVrDtiyuub2EZh1jybVWjlQ9RXnR5vuv5ZhNtWjpThU8\n6JE4PerhyICbRFhBEKpkV6tkV8GoVGBtjQceN8ZqCrHVYmXLtb119y56q8lI1EMi1iCVShFeLGK4\ngkjDg5iLi6Re+w7S/DxiX8KZFyvnWU+vIawbnOiD+SWBoXCbD25eoqCVOeQbIV1PYVjOffe9H11i\nqLiElV5DivUwf/MKa60suTsK7944eAUpooU5Jq6wvvA+73pdLC3PEqnVub/8gMUtwa2Vy2Gm07Qt\nCUGymFlc697PH14volNHa7RZvb9M/cHe1dP1whpVqUyg4KKkV0hXUoTSWayGzdrNm1RcCp5Wm9sf\nXcWvOcabdiqNbRjoviC/e6mNbpokR9Z4sKox5h1kvZ1iHadLbVdrGKkUoiDwYJfnTTJq6JrF6lKZ\nYjGLr6AgV+qsPlhDbQYR9eKO5/Ty5ctUjDrz9WVqRh1REBn09BFzB7j+/R9i3rmLGI9h5wsUsxqi\n10W+XOb9N96C1VVE22a185lWpYKZSrH+gx8ijgxjt1pYS8vY6+vO/InHgzgyjJDoJV0sQqdzYJoG\n1s1bLOs6YrKPxUwb3WrRatZJp3Sa2Rpmauew7YtHBdLrNvdv3yIUbxBqw42r13e8bgO2bZMtFxEL\nBW59dBWxs7/Y9TrlWo2W7CW/tsDlmiPha9dqlAolSlSpiDoTayXS8SDZO7d46ahAqSTywa1V/rdc\nnp+6ENnWqbufbvHDD53gcmYuw4iYJ1DWqJV0BFkmdaiPdFagP5BEbeS5feldrGgI3TKYa86yJMqY\n9xewlpcRe+NkqpVte8zW67cBU5GxSiUGW01uzc5y6G4WDANheIBSpYphqMzcu8kD5WAkElsAs1rF\nvngR4aMriONjCD4f5oeXabjcrNkmH1z6kFVF5KgNN15/A+nI4R2fY84vYD1YRjo0wdpVZ+0u1gw0\nXWdxrkDYTKHlGjQCna6yYWCm06QbDeSH/ArrzRboOunMOrXLl8mu19F0nes376KVdqeAGabNN3+U\no1zTefVsmHzV4MPZFm+8dZuMK0UrV8NMbQbD2XaBdC2Fpyxhp531JtNYY9loEEwOEGrY2JUKdqaI\n3fG5ausWd1fbrFsKYzGR2KDIek7FVfMx7EkSUvyItkbbrvGD775BeGUeu1qlNneXtJ7CVYKWLiHa\nFleu7L0/qIJEsdzgRmmdmCxhzcywnMkgnTpBrlyCkMnC3AKtmSzG/Dxib5y1K1co5TVMXWK2mCft\n7cean2f1T/7Trtdrx31gWVCrY87OYVerLK8sUa5WMQ03pm6TaTZZL7WoN6+ztEt30bw346zlhydZ\n++gj8lqJtfUchh4gn1nl8uXdlfTMpQe02y1QNDRdxy+3WV98wLU3/x0C0JJhfC1DuNagJUkIveFd\n45AjvRpX7rm4fnsVrVHGTLdwiQp2pYKRSrEmikhV596z2m00XcdSBS5fvkwul8G2LTKZbPezlxeW\nsW2LYEjFb9q8/uEi45EGMTXCzfu3MTItYq7di8cts83d0j0U00+2EODIgIc79+eoVqrkVnVGRg9z\nUTeI+zTqqTIZNX/g2GrbudPaWJ2Zm5boo7iS4fLly8zer6LpOg8W70P98buLALbbhZnPg9uNNDpM\n+v79Ha9xyxZLyxUi8QrXSyID0Qjmtes8uDKPN2qj6H3cun7L+Txdh0YDu9HErjeg2cBuNKDVdpoh\nkrQjxt7AQm8v/mqBmT//CzKpFcQDGIXvBqtYZH1llZzXTby+fzz7Y0+Wnn32WX7zN3+Tr371q9y+\nfZtEIoG30/EYGBigXq+TSqXo7e3ljTfe4F/9q39FoVDY8z37QZXd9I6O0u+qEDp1ktDU8T1fa9s2\na6aFXq7Qf+TIjq6PViiyNnsfz9QU8aee2vb/7ly/Qvb6bQTLzVAgiDEkMvjSSwiSxOvzFxGaQRTN\nywsvHOKJFyYoXvmI6r0Z3PUm8Ref35Ojmq03IVFCW4+QsVYIujKcGvRw9uxZcpnb9IT8zDSj2J5+\nTFnizmqW8YEov/qLT6HIErZtk1FV2rk88f4BPMk+qrNzXHNfZZ0oyX6njVrKybgUePrCua7evKVp\nrKTWcLk0FhNhfu7oGB9ebvPimcEDd5XA6Xb94Pu3EAWB9uHDPPn1XwCcTf/cOWfGS710GUEWOT5x\nlPPj5wEc6pac54lTo5w7t3PAtuL1Ubp2nUhPjMDkIaqzcxT9AbxTU8SeeXrP43n9zmVu3M9yaOwI\nruoyfQMDLK/mGA7188TQWQBml4u0jBzPnhngqSf3V15cqswyk75P//AhJgZDXL19Ddso0p4c4u/9\n5Ks7lK4+Lox6nVS+gFyu8kNVYKC3p3sOL61e49r1LFeumgimTtjv45WpPi5M9TExGNqz8lUUJap3\n7xHtTVDo78c3OkJP5zMvX77M6bPnKN64SGgwztj0EewHTZJhgcTYEXqffRb9xAnW//KHWNUa8elp\nPAP9eDJBbmVmSAwkGY0M8eJzTjHiz+58jx45zucmnqdx57sEvBLz9wXcvjjJWhrx0CH6X/ks5fl3\nkFoqM+kQLqXEv/jlFwj6XOimhW5s/Jhb/m1hGBZaq4V1sUmWNlLSTU8lSDgc5djp09uGo9v5AuuF\nEnZEIGwXqJVMTp0+gyKLfPOdN/EGYWx4gOePP7vnzBLA6t08LsnFuclzrFbWyC9U6Y1aDIxP0nvu\nHMVSifzKMhFN43AwROXmrS4l+MOLtzmardNz3EtACjI8fIozh5/cpgTZeLBMLr1GePo0wV2GzL3R\nAu/NfEDQM0Q82SA5OMCQL8HyW7cIWW1eeW6aocQmrfXih+8iJz1kSxUCvhBToWOcShzD6/Jgmyap\nb72GNThI8ktfpHjlCqtzt+lTLRZV6AvHEfv7iT5xvquqZLbbrFaqKB4PLsOivrwKgoA8OUlo6jje\nkd2NXI1jx0l/+zUETSd54gT6bAHl+hKxaIRkfwi3rHKuM//5MA71rfLH/+ZNllB5yX9i17VhKzLG\nCq5sm8nR0a4gTDOV4hIilurh5eef7IrHmO021+fuoHk0gt4gI30uBs8+0VWJO3vW5Df+4CNu3s/x\n5gz8o787jUuRqDU0fueNd/C4nS5svS2STCZJ9PhJrjWdLtCDGaTFVZKnpzlWX0Y0StT7elElF08d\nu0BjZYXczBzykSP0feFzu8r1bl0zAezpae78ucHMW+8irC2TPDpAcOo47uOHkedvokgunn7y/GOp\nxpmnTlG5dZvqzCwUy4j1JlYySUPwYIttJqcOU790EdHjo9/tYeDMmW3X2Gy3Sc0vIk5M0P/lL3X3\nNtO0+I9v/iXIAcaGR5EEiXNHNr/L/Mo6erPFkS3fz7RspB/cRJUlhkZHmTh3DkNN8+btaySSw5w7\nN7zrd/j337pFsQGffWKMX/zKCe4tFbi2+AFtehgbHkMSxG1/+1ZmhkqmzRMj51hethgfCNEnDKA/\nuMRg4ghH45trh9FocvXSDN/99iVkJc2Qv0QirKIUZOItL/FEDLc/jCvaw2WXh57iA4JzMsl4AGVo\niNrJwxTWTM4MTvMXr1+nJxLcdk0fxvjdKrdKGeKDA5x/eor8OxdpLK/gFyUsEfxeD6enThHNtyn0\np4icP0dg8hBHGhp/cPM2tmRy8otfoPT6W+ilEr0DA9vmnsDZ69v5PO1sjnY2i5YvYJsmBAIoAwP4\nz53lP6/MIEsSguRClFXiE0nCLYHB06e7M8HgUCnXZu+jHDtG36ufRxBF5gsPeDe3iiKqnDl1jKnx\n3TumZbeH1OIdVGxMRSEW9THshf6IIzpk6hoD2n1aCORGBvjM8y/suq+dA26vfcDttTrqlEJoJMrx\n3sOYrRaraxk8ySTxzjmv5Qu8jYAn4OfcuXOEe1dZfeN7qJKre10KayUEQWRwZIALk6f4t39+g5Va\ngLGeftSYF1MROXPozA6fN4C5/CLJdAG9EMOllHj5wlGmj/ag3buK7Zf4zItnOHfGIldbYPXP7jEy\nPsHkI+6HvWAcPUr6tf+CbRgEWjJVnOO/k72DS2lx9vSJbgfo48C+cAFEcc84YmruIy7NtYn29DLS\nP8p08jitY0e59S9/m6O5HM9LhxgsltArVayHfQBVN2IwhBIKogSDeAYH9xRbezOd5V6jwEvBKH2F\nEr2nT+/JvOgeu21j1GroxRJasej8lKuk3W4KispnD09y7uzRRyZMP/Zk6cyZM0xNTfG1r30NSZL4\n5//8n/Onf/qnBAIBXnnlFX7t136NX/3VXwXgy1/+MiMjI4yMjOx4z+PAMzSI0k7hG9l9Yd2AIAgE\njx0j/+57VO7eI3p++w1bX3C4zxvCDlvRNzZI9vptlm7dY7JXwp3sQ5Ak8o0i2UaBSkFBMNWu0WJ4\n+jRGrU5zdZXCpSsO5eGhm9C2bbR8Hk/Ah5FzUyknMKUFBGOVartGu1QiGQ7TMrx8//0HrBfquBSJ\nX/o7p7s+BhsGZmvf/T7Fy1dw/8QXMGo13KpEuR6mxxMh3yzSatlIkoR7Cx1AdLmQ/X5ilRKFD2ZY\nGanw9Vd/BlU9WJvYsizHoFGR6FN0aIEe3J3WJAgClm1vp+BtzCsN7Z6YeUdHKV2/QX1hAe/gAOVr\n152W9JnpRx5XX4+XG/eh1XTO9/3CIgD9gd0oeI9WR9zAhqTxB7fW+J1v32ZFVwiOD/LlF5/41BIl\ncOhjvvExhlQPuXd+gLu+SVfKN0qksg1EO84/+cUnODwcOVCQ5O7ro3r3Ho0HDiXzYdlSUZERBRFD\n12gZbaRaC1mUu1RVJeSIaGRef4PcOxfpfflFRkID3MrMsFRa7SpEljo0wSFf0hmidodougvYKKzf\nvY8dMPAfPYKNTblVQcHNvcUyk0ORLoXnIHdeeu0wjdmrLGYXcbU1ZFHaQW2QO4PpHlMk4HVRFttk\nig1CfpVMsU5s0nqkuEP3c0R5Cw3P6Jj6Cl2fjPDoEKYkIi4vUbwkIcgywanj3M4ZXPmwTH9vjbhV\nIbBkESstkr6bwZ1I4E4mcCcSGPWNofDdh09H+4OAQC4jER926B4j4UHW2iJBq0Ey6lTeLctiJr/A\nldJtej0Jwu4gZ5JT24QRqjOzmI0GgaNHkP0+PAMDyPMzxNpVFgSTwuo6MRxxhw1Iqooaj1NLraGX\nyijBAMGp43iHd0+SLNuipbfxeNyOT8jVa5Rv3KRmxbBFA1Vx5hNaRpuW0d5hfAxg51MM9qnMmmG+\n+doSyVAPJw/tzTRw+/xoloHW2DKDUKvRNgxUv7+bKEFnzZNdCO06rnIDv8u/bSN2KRK/8rUz/N9/\neJXrs1l+/ZtX+JWfO8s3vnOHcq3NVz97mIV0hQ/uLtNsG2iJEMlzLwOwdMWZbRifmMCXatOXqjHf\n1glEohi1GoX3PkCQJGLPPbNrorQbBEki/vTTKO9/iFnKIbjGCR47SsPU0A0LVVYeK1EC55pGzp7B\nf+gQpavXaK6uIvv9mD0qRnWRXK2Ebtq0whGsdpt2JrNddODuPWzDIHjq5LYioCSJxEJusoUmEXeY\ndC2zTeThjds5jEyWwz9nbtL/dBPJNhEFAUlxXrcfDe/dGylev7zMYG+Ar3/RYVMcGgzjdStcm83y\nlSk/mXq+q7gImzNMlTL85h9dpSfk4X/5upNYb52fM02LP357kW9/dBuG25w+PE6kL8yIFCNpeDA6\nKl71+QXq8wuMrWQxmjWKopvTzz2LZ6CfGxnHGsEre2hruyvhbcVQT4RbJVjJF3hiWCD61AW0Upny\nvVkko+H48cku2hmna7Bxv/q9LnyKl1qjQN1q0XPhSda+930KH14i/uILaIUi7ZyTHOnlCmyMPQgC\nSjCIGo+hxmPO/mBrmJYNtojXpdLSTEy/B5pN9GIJNe48f7ZtU/roKtg24TPT3TVAM7WOwIOXyB4W\nHOA8f5IoIhsOpdntEVAbGiATf+E51FiMlN1gJVPg8OjoI6lvP/X8BHe+kWN2aY1kdImjsUOO8a0s\nd+fHAIoF5/q63M5xRaJBbAH0LTOOhazTCYvEozx9Ksmf/miON66sMPJSiPHICHOFReaLDzjUM7rj\nODZM6VOrzvk9MdGD5FaRRRmxrdE2NfpjYXJFJ4GQDxhfPQzZ5yNy9gylj66i9saopRrohkmzQ8Pz\nfEwa3gb2E50Y7gtyaUamVG3QMpxzJ/XEuRoMcaxewLdepe22kX0+1FgPSjCIHAygBJzfB6WHuhWF\niteDcfw49uoymR++gbuvD8/QIJ6BfkRFQa9U0TeSomIRvVjC0revF7LPRz4cpmY2iIf2l9b/a/FZ\n2kiGNnDkyGZl8Pz58/z+7//+vu95HASTvSSPHcyXyTs8RPnGDerzC4SmjndlJm3TpL70AFFVd814\n+yeGuSMJNBfuY8cnu1Kx93Lz2LZN+oGLcMDNcKfKK4giPU9fIPPD16nPz6ME/ASPb59rMRsNzFYL\nf18vLLQRjQD4erAaVT5YvIxUbxEP9zDojrGQdoZl/7uvnNwh5e2KRJzOy8wslbv3HAl1VaYtqBwN\nT1Hwr/FBLU3AI+xYfHpffpHyrdskblVZuzXP9fQ3OPn5r+BOOEIZlm3R0JvU2nWqWp1qu061XaOq\n1WnoTWLeKM8MnyMum+REAWEX2U4ASRAxbbaJO8x06E+HhnafM5O9Htx9fbTSaXLvvIul60TOn9tV\nGnQrNkQeajUb3I7nhygIXf68aVp8cGuNgNfF8bG9lRG3ItJJll6/vIwgCJydHqVvuM3R5E6jzE8C\nQRDoufAkAO733qHcdBZ63dTJ18uUCnB0IMzR0YNL06vxGIIk0Vp3FnXhoUBNdDkmtJau0zY1xHoT\nWZS2zaio8Rix554h++bbZH/0Fr2vfIaYN0KmnqOhN/Eqnu4g7EaAHvNFKDZLqF6TxvwSTPc4sxbt\nGqZtUciagH3ghHUD3v5++tdSlApVBE1HFuUdyZKoqgiShKrbzpxeR+ShWGmBaBAMyF0zWtuyMFtt\nrFYLs9XEbDq/XdEosihT15wg3LDMTrIkInakX2OhIJmgn17NxD95iNDUcUoa/O5rF9EGAxx6Po7i\nDXDSNYKezTmS+IuL1BcXnWvRqdjupdTjUWWSMR8r6SZnZTdrtSy1ZptUS+GYX8GqVkkrOlfTt6hq\ndURB4Fz/ScYiQ9tUBs1Wi8qt24guV3cd8vQnkUWJcK0JokFlLUcsKOyY5/yo5efSh1m0WD+RQwnG\nlkzG9DyjySAhv4phmWRqWVar66Sr67QMjeeGz5M8PEl9fp7a3H1qYQVEE5ei0uvrYaWyRqVVxb3L\nMPjK/du4VJmffvkz/O6frfFv/vAq//S/fYKx/t0LMR5/iFy9zW//yQc8rQ7y4tlBCtkClmXjCW/f\nJAVBQPF5EXMZQk0BUZR2zA0pssT//NUz/OYfXeXqTIZf+3/fJZ2rMTEY5tVnxnjtnQU+uC1RqjVo\n92xSSNOlAoKpMDEYxeedoKdYQKsI9I8OOqIKuk70wpM7ZjD2QyiWoDzUi/deDnHisBMsNBvohoVX\n2V+CeC8owQDxF55DKxad++K1d6AKizmHyqhHO8beyyvdZMlst6nOzCK53fh2MQ3v6/FxfS6LV3Lu\n52KzRF+g12F1lFr4dI1mo4W3M2Tf1k1Ey5k/3CjibPih1XdJllLZGv/uL27jdsn88lenu3L9kiRy\n8lCM92+mMTtzYg/Kq4x3JOer7TqyKLG06jzL+XKT/+ePbnPqGbGbLOUrDf71n77JfPk+3jg8c2KQ\nJ0aOcDg2sa2oYluOqEc7myMYkLgtStiJUb7YMW+uddYLRXRj2vae4g4bGI5HYU4gXXL2eFGWCU0d\nZ/mNt+mrZjDkGKqs0shmHZ+i0GbBMR4MslBbp9ysE+sZ6nrnpL/9ne5rBElyEqNYrPv74YKZ2Whi\nmhbYAvGwnwXNxAj5INskd/EisWeeRo3HaaXStNYzuJPJbXFS29Ro6Y7Aw15+hdAReBBFZLOTLLkF\nXCUd8KCEw04xIR7nfqnK0YFH7wvHx6JMDvZwbzXH+liF5UqKkfAgst+HUat3Z9+LRafgqHqdPcKn\nqtiyhLGl+1HuJFSJRBRZEvnSs2P87mu3uTRX53+6cJql0gq3MjOMhAdQttwLhmWSqecJuPzMLtZJ\nRH1dT0HZ40Fo1GkbzhqhdZIz5QBGz3vBPzGOb3yM4J/dhFSDYqVNozuz9MkFph6Fkb4AWDLlukZT\nd77Lg7UK+aDI+uRhxj/3Fdyda/hJoHbWtGYoTGxsmPKNG915KgQBQRSdrugGBMFRkexPdgyCwyiR\nCJKq8uCP/wTWl4mHHq0dAH9NydKPGxuGgweBIIoEjh6leOky1XszhKcdmd1mKo3VbhM4cnjXi+0P\nhFGCHtrrbaoNnWRfglq7zmoljdFy0axaPHV2u0KZqCjEnn+e9e9/n9K168h+P97hzeBa6yjRBJO9\ngMOpHx06jti4SXk9hbfRJjyQ5OlIPwvpCs+c6uf56QF2Q+jkCcdL6tZtRFXF7VExNJlmE04OHqXW\nWO2aq26F7PfTc+FJ/MePkX39j8kvpbjxX/4z2tNT1ASDmlbHtHeqQ3kVN2F3gFyjwOuzbxEUmjxQ\nXYT3eFAEQcC27K5suGlazK2USMb8j7x+/vFRWuk07WwWVzTSHSZ+FPo68uHlsoXS+coxbxRXp8J5\ne6FAtaHx2SeGDyzxPtwXQFVk+uM+fvFLx+mLq8zmFxgJ7X49Pg2E3AEyjRwtXaPcLjteOLr7wAne\nBkRZRo3FusqCD1d4BElCECUs3aBltBBrLWQxtEPi19PfT89TT5J/932yb7zJ0PnD5BpFHpRSHI1P\n7EiW4t4eZoVFhsJNrLkCmn8C2eejWHQqpPcXWwiCi/PHHi9Zcif78ChuBjWJdLvidJY82+9tQRCc\nQehKkeG1NI2STeaj6wi2zXBljokVDU9bYvXSCma7vVl13XreVBV52lGpsm0b3TQQdBNRELvnMOTz\nsNoTwXb38/Xz56g1NH7rj69QJ8fJkza9wSDPjT+LW3HD5KTzOaUSrbV1WmtrtLM55+88QghmYiBE\nOldDtaOUzAy//9F3qYSruASN92++SToqIQoCkz2jDDfjTERHsAyDZjZDO9P5yRecavD06e6xSx4P\nnnicwNoCMm0a+QbK0NiO9e/iis5y7AhBn8rSbJars1lswcB21fCGNIJRnaBfIRJwEwt5ESWnQNEf\n7CM4NeUMXC8vYQsGLkWi1xdjpbJGuV3dYWCo1WsU11YRomGem5rCJyf4N394lf/r967wz/7BBRLR\nnfRsl8tDutzC1pv89l/cpKWZhFNOwB/q2dm1DgZ7COfX6NFduBLRXbs8iizyy1+d5rf+6BpX7q0j\nyxL//VdOIokCo8kgAiLVmkHLcAIuzdTJ12oogofeiBcCw5Q+uspITcZ9f51asYhvfBz/+Nie13kv\nKJKCOZLkelPlc8EEA4BuGWiGSfQAfi37YUOpLthRyVwpOPPDUrQHUWjSWF5B7e3FqFZpra13u0ri\nLrO4Gx1io+0cV6FZpi/Qy0q+QN2bwWNWqZXr25IlCQtRBFHuCDxnX9dXAAAgAElEQVTsoYbX0hzF\n1rZu8Es/O91d5zcwPRnn/ZtpyutepJjI7ewco+EhBEGgqtXwu7zMrTgJycmJODfuZ9Gulzl7yuT1\nW7f5D2+9Q9OsM9AX4GcunGe6/4jz3D4EQRQ7QVmEgR4XreUUq8VNxbSG3kASRCzd2Vu8nkeHYYO9\nAQRLIVvZVA/0jgxjqB7i9SJlK4LSMjDqO30kk+EICzVYzuWZ6BkieGIKvWNgvJEYuSL7B7CmbWFY\nNqIgEQ14mc/ZNCJBQqeSlG/cZP0HrxM6OUVjcQkEgciZ7fYEbUOjpRnIgtKl+e8GUXUhiyKyrWFj\n4VYF5HoLKZrorksXjg6jeNucGn303ioIAl95cZx/+c117i1lGIsvMBwaQPb50UtlLE1DUlUqlY1k\nyUlSJFFCUGTMLWpr9XIZURSIxp0i5AtnBvjzN+e5Nl/H0EWOxCa4mbnHvdx9TiQ25903VHatppe2\nVuDExKaQgMvnRyymaenOGmG2nQTjYYGlx4Wjzuucq0K1RaPdkQ7fQ0Tk08JofxABgWrVpNnpLM2u\n5LClFv3Jw3h6Hi8u2Queznrc0DS8gwN4BwfQK1Uay8s0V1exTctRq95IjMLhPTv11VYTbIHe8N8k\nS8DjJUvgqAJVbt6iNnef4PFjiC7XJgVvj83M5/KixMO0MkXWyhpT4TA30jexgWYhgECF04d38ipl\nr4f4iy84Hhfvve+Yb3Vuqg1pXW9vDI+aptk2ODo1iXYrTXu9iFdS8UZ7+Oz5YcJ+tWvsuRtEl4vw\n9Gny7zmO8O5QAHICxUoL07RotnV8nr1bkWogwPEXX+XDd75DbnYV4/0GxtkjhNwBAqqfgMuH3+Xr\n/luWZGzb5mbmHjOzVzHEMnXVRc8u1BwASRSxTLvbWVrO1Ghrxr6zUZ6BAUSXq9NVOr8r9edhJKLO\nJloomnQagCQDm+fuvZsHV8HbQCTg5rf+188gS5vduVN9n44C3p5/0xdgvZ5ltVCgLVTJFhsIhp/j\nYwfvKm3A3ZfoJku7uYeLigKGUzGSG20kRUIO7rxffKOjWG2N4pWPcF+ZQRpyFNcOx8bI1gv4XV68\nirMZxLwRsG2OKEXWgR+swiGg1CrTaOqspmBqtO+Rlcjd4IpGEVWVRNNGVnsIeowdHkXgBBz6nQah\nWoN4vUH77h0M0yLWzBJuqKgtEyEkowb8SG43kseD2PldvTeDXioh24IjPWpbW2h4ImJnY3fLKm5V\npqprpHI1fv33rrBWy9E/WWdyoJ/nR57cFnAJgtANtILHjjoSzluUwHbDWH+Qt6+tQj1CfxzmH8xT\nC5jY7QbFtRV6h84yHT+Cu65zfeke6+WaM5NgWRt/FFc0gmegn8DhyW2fHRgcRrl9id5ynrrp7qqW\nbaBca7O0VuHYaA+/9LVj3Ftf5ubKEg8KBYrVFqVqm9SaRFpTEDUFbBM1uYL/Qg8nEuAdGqR42QWp\nFYQguBWZmM+5f8ut7Yp4AEtzNzFsk76xSSRR4vyxBL/wE8f4xndu8y//wyX+2T+4sEOa+PZchaYt\nMBSVWfO7+dafvcdZYwFNlkjGdz4rLp+PwaDz7Lt79+bCy5LIL/2d0/zFW/OMJoOOchlO4QSgUjVp\nm04glKuVqDY0hkNJhxbncuEdHqK+sEitNo8SDhM5d2bPv/UoCIJAIhTijlrg5nyOqfEemloby7Lx\n7vIsf1xsGNCuVxx6tM/twdvbQ23uPvmL73Zfp4TDu3aVgG4y264rIDnPeqVd4zv33saQbRAsqpUG\nG6uxpptIVoeG59pQw3PClq2dJdu2+Z1v3yaVrfHKkyM8ObWzwHLqkOM7d2uuzE8eHmUmP89CaZmk\nvxfDMgmofmaXS/g8Ln7l587wG3/wER+l1qlZqxQr9xEQeOnYFH/v2We6sv77njNPkIBPIZcrY5oW\nkiRS0xr4XN6uStl+0u79cR+YCsV6A83UcUmKY68wOI7w/vvE82WsopNIPTy7MdgTgRVIFTo+h7JM\n/PlnD3TsW2FaJqZpoUgyEb8XclButAidegJ3b5zcxXcpX7/pfJ/JQzu9skzNKVL4vI+kzomqiiRJ\nyKYFkoFPFJA0A2VLN3swlCAVTdO7h7faVpyciDHWF2duNcviaIZ8X7FLaTZqNSRV7ZrPen2dZEkQ\nEVUFq65hmBaCINCu1QmoctdWQ5ElXn1mlN/99g2+//4SP/n8GPcLS8zkF5iIjuLprOkbdg75rBOX\nnBjfLP4oXh9YNu2mk7wabUdw5JMmS7A5FlCstGi0DFSX3DVJ/qtC2K8S9KmUyiZNvYVt29xJrYAA\nR/v3Vix9XHg6a1pT23z+lWCA0NTxR2oS7IZaq4VbUbtjK4/C3yRLu0CQJAJHj1C6eo3q7Bz+iXGa\nqbQTxOxBkfAqHoKDERr3Cny4bjJdq7FQXMbv8nJ13kKWxD2DWFc4TOzZp8m++Ta5N98m8blXkP0+\np7MkCLiiUXpCHgqVFoemhllfiGDUCvj9Hd6nJHLhAIG9d3SE2v152tks3nAAclCstg+8aA+GkkjP\nf5m6fAkxU6RHGCU0sXdCIAgCJxNHkR9kmPPcQ5DcDCd2HzB0m1EaTbnb3enOKw0/mpIiSBKxZ5/G\n0g3UnoMlCdGQG1kSyRY1koKIZVvdeSVNN7l0Z52ekIdDg49Hh9lNSvivEr3+MHczsFIoIHlr5MpN\nXHYfE4953ODMLdHxS9o1WXK5EBoO3dLX1JEj/l0rxwCBI4cxm00qd+7Sd7fC6jFYLK5055U2oMoq\n4aUidiVDIx7lR2mDZ+7nKIkVVnN1BCPKU7sEPftBEATcfQkaSw+IyQqC27XrsYZPnSR08gTXbwS4\n9Zd30KRJyg2DUtxD/4sJxk/8BKqye6LWXs+gl0pI+qbH0nYanvM+l6TgdsmUay3+j3/7Pg29weHp\nJkfHEjw7fH6bP9pu2Oscb8UG/Wwto/P180/y4UUZverj0FAWr+UmdL9B9YMfULEsrFSKtmHiioRx\nJxKOZUI8vmcy5h8axiVLDDXLZBs20paZQ83UeevOPUxfBiVR4zuzTrLtC8JzfYfoDyToD/RiagoL\nqQoLqTK3F3PcaS4ws5Lliyec59c3NopxaZGwohPweAm6/IiCsEM+HGB17jYCMHZ0s3L9ypPDFKst\nvvX2PL/+zSv8k68/gbtTvW61Dd65kmHIpXC4z8NnvnCUP/+Ny5S0FnPjcZ6M7jz/W2m86iOSJXAS\npp9+6dC2/xbyq4QDboolg7ahYdkWc51O1tCWNco/MUF9YdFhGDz3zIGu9V44PBDnndsLvHV1mZ95\neZJKw6nseh9DJno/RDpzfqWO/0xA9RCcOu7MmXg8yIEASsCP5PXuWbTaSJaKJQN3QiVbL/DGwrvk\nq1UMwQlYapXNeRJNt5Bsh4a3MbPkUWVEQaDW2AyWfnRlhYvXU4wPhPm5z+8u+OH3ujg0GGZupcSA\n7zjzxSXuZOe6ga1guMiXm0wf7nUS4Z85zf/+jTxLldsExCj/8AsvMz3+eLTqkBpwZiKFJtlSk56w\nC83UiXrCW8xCH33dvW4Fv8tHtVGgrjVwdejBrUiCtiKSKNVodTyUHr5fR+JRsGG9vLei50Fg2iam\naeOSpa4RcaUjxa/G4/S9+gUKH1xCL5UInZja8f6WodFuW4T8j04ERJeKLDk0PFsxCBgGkihti7sG\nQ0kGQwcrZAqCwFdemODX/yTNvaUCs/0LnPA7MYhRq6P29FDv2Dp4A97ueySXAnaLSrWJbgnIRhsx\nom6j2L18bpA/+v4tvvf+El94aoSp3sNcSl3nVuYe5wdOO9TSWgZFlLmzpCEKAkdHN4tNqs/pZrQ6\n81NGyymsKJ6DiZc9ChtjAYVKm2bL2Pce+zQgCALDfQGuZmyamo5u6szn00iSyLH+T28cwd0x123r\nn8xnybZt6lqLkOdghY//6pMlSRI/1o3iPzThKALd68hP2/auwg4bcMsqYn+M6FCee/kw/+FHF+kf\ntehzD7KamefkRBy3a+/j8PT3Ezl7huLlK2TffIvez76MViigBIOIisL/+LdPYVl2t8rdJzhVla38\n5P2wIfaQ+csfEIz1wVyBYqVFreHcdAHv/kllMtCL+cJnWPvOdylfv+EEXPskKb2WGzMygH0izvT4\n7hUGP3HyFZUfXlrmzOH4vuIOW/Gwss9+kESBRNRHJt8g6g5hYXfNCq/OZmlpBp99YvixB6N/3Ojr\neIalikVErUy1YjM9FP9YSZsSCSOqKla7jejaGTg7nSUTvdlEMewdlcOHETp9CrPdJnTnOoUbC1zv\nJMEbFLyNQeDAapGCx8W5n/88P/rD+/z7713iqedN1tZ0JFHm/LHEo/7MnvAkkzSWHmAbxq4dsA0I\ngkAoGEGMqNxNgWHI9I4q+H3BPRMloEvrU3QLBMfU0uksmYiC3E04JVHC41IoCTqaYfD8izKhaIgz\nyakdFLOPi+G+IJIkMr/qmGbeXynREwoyMB6klV5Dy+VxhcOOx0pPhMGXXto1Id4NSiiI5PcR9rYo\nViwWqnBUb/Hu8hXyjQKXFtexPFXCkUAnOXISpG30JLezeZ892suz+X5+9fcukd8iTOKfGKet/4B4\no4xf9SCKIn6Xr+uBtlGJLtaLNNbWCIR7CEW33xc/+5lJSrU2b19d5bf++Br/6GtnkCWR732wRKNh\n09MbAMHEvvYhL51K8M31GG1fmb7IzvWzmywJAuoBLSoexmgyyKW0TUsz0AyN+c484Hhis4PtivUQ\nOXsGVzSCEth/wPhRCLr9DCUCPMjWuDqTRXM5yZLvU6DhbaCnc4wbwgoBjwfZ6+0qDB4EG8lSptjk\n2Gio62/nafdjWWtAkVp1U4ijrW0ReOjcs4Ig4PMoXRreUrrCN75zB69b4Zd+9vQjqdPTh+PMLheZ\nWawyHh9hJj/PzXVHcCFfdDqtk50ZWbcq809/7iUuXp/kmVMDj110BZAlmZg/yLK8xmqmhrvTvfC7\nvNSrTpFyP4EHgN5giPuVDPlapTtLWW+brEaCTAo6zdUUgizvKOYOxB0KX666s/DwOLAsC9Oy8UiS\nQ/GyRKrNzZkeSVWJP//snh6Y1WYL2xKJ+B8tXiBt0PAsC1UFV6uNLEgojznHtxVnDscZjvaymM5w\nd+0BR3odASij5iQp9Zpzv/kDW/zW3C5MbIqFGuWmiWwZyL4AirQZw7ldMucmfHww1+L1S8v8xLOd\nbmVxmcM94yAI1LQGvZ44C6slJgbC2+aGNpIlrZMsmVobURA+tsDDVmzrLLV1wvuc908Lo8kg19Zk\nyrU2xUadQrNALOqlx7u/ufxBsdEtb2j7m1I/CtVGG9M2CB6wk/fjLYX/NSDgdR3YwHYrREXBf3gS\nq92mfOMmgijiHR3Z8/WCIOAJBPH9xBlciRiXlmYwNJH8mnNhpw/vv+kGDk8SODyJXi6T+cHr2KaJ\nq5OIDCUCjCSDDk0nupmcKHuoy+0FVzhE/9/6KXpPnwCgUGl1N7+thrSPguR2E33qAtg2+Yvv7lAZ\neRhaoUjIF+bLZ7/cpbc8jEODYSzb5ne+fYtf+fU3uHxnnbDfTTzyyVvSu6Gvx0uzbTAdP8NLY5sy\n4+91VPCePnlwCt5fFwYjzn2wUlpnNVdGMDwfi4IHm90YYFfKmqgoCKaFWGsii/I2WsRenxd94jzx\nscOoxTrSjTkEzSAqeNArVYqXr1C9N0MgGqdxdhJPXOLJM0HS5j2uzmQorfk5MdHTHeZ+XLi3DBfv\n9n22IqD6CHhdGGyKOzzKjBY2A2pJ21TCMywDQXPU8LbOfQ30hPD7JP6bn04Qipr0BxJMRPdeSx4X\niiw6gfJ6lbV8g2pDY2IgRPTJJ4i/9AIDP/0V+l79PJGzZxB7eg6cKEGnytoXx++TsAW4tNLgXu4+\nuUaBiDtMac1PWJvgF879JM+NPMF4dHjXOY4NxMIeRMtFqV7vmo4roRAlyU203cKtbRhTB9Atg4a+\n6YUzN3cdwTBJThzdsaYLgsDf//IUpw7FuT6X5d996xb1ps5r7yzic3npTTp+RmajQeL0FF/7+8/z\n2fND+HbpvGxcW1c4/FjnaitGk0EES6ZUc1T9lgsOpfrIwGaSJwgCgSOH95W9PQh8Lg+jySCWq87r\nl5epNTeSpU8vSAr5VLCk7n4R+hgV8FjYgygIrBca9PpiCMD5/pM0in7Mjmporb5pGKrpJoJlIoog\nyZv7k8+jUG/qNFo6v/lHVzFMi//hp08SCz96vzg96ZzrazNZjsbGkUWpK+CQXnO+1+QWQaGgz8Wr\nT499rERpA8lwFESTB9liVwzGq3i7NML9BB4Akp3C2IPcpj9RtdEmH/QgdTo9aqxnx+xRT9iDiEyp\n0eSTwLBMDNNCVRRCfhXBlqhtUYvbwF6xVqXZQLAeLe4ATqdZVBQUyyIYFJHqLSTxkyVLgiDwt144\nhNiMcG+pwAPdeRY3jGlbHZXMUGizw6CoKgg2lXKd9bUCCDZKwI1L3H6tpid8eFSZ//LeErphcypx\nFBu4vn6XtU4hoF52DINPTGynDbo7HS6t21lqIQlSVxzok6A7s1Rp/dg6SwAjfUHorHvXlx5gSzpD\nkcQ2MaFPig0aXnufuHM/rJecAkJgH0GwDfxXnyx9kkUucHjSWXxsG3cyua+0oVfxoFsaTz/lxsJk\nflbkxpzzYJ6e3HueaCvCZ6bx9Pejlzsc5F2G4jbmBgRJ6i6UjwNRljttWoFitd2lM+xHw9sKT7KP\n4LGjGLUaxct7G+rZpoleLuOKhBEfMUT68z9xjH/xyy/w868e48R4DEEUOHes92MlugfBRoUzW2wh\ndzbpRkvn2myWgXiAwd79B/7+ujEYi4AtkGsUyZaaCLqb43v4VxwE4elpYs89u2uVe6OqK1UaO5Tw\n9oIgisSffYZQ/xBypkT04l2Kr/0l6W+/Rm12DiUcYujzr2KrCvcLS4SHcrgUiQd3A4hagAsfg4LX\nPV735nyNtE/lKODy4/cq2JKGLbcI+1Winv2SJScIFbUNGp7pJEvGdjU8gBNjCT73dD9FVvHIbp4Y\nOP2p39fj/SFM0+KNKw4dZ2IghOz14jnAurUfXMkEbpeE4PNyeTbL/cIDPLKbCe8JWoUQp0dHcB2Q\nQiZLIkG3l2qrTdvcpFGk1CCSKOBKO8FgSHUCiXKHiqeZOusLM7hEmeT47jQrWRL5pZ89zVh/iLev\nrvJ//vb7NNs6X3p6EsnrRjcN3H0JwtOnsQUTj1vZVRpe7tz/G8WDj4ORZBAsiVK1TcvUWC+XkFAY\n6f34Qd+j0OePEw14CSWrXM1c40HW2Xf87k+PhhfwuRAsGa1DPQ16H7+QJUsisbCH9UKDyZ4xvnL0\n84xHR0hla5iicw81a1s6S4a5g4YHTrJUa+r82z+7SabY4MvPjTN9eP89drDXTzTk4fpcDll0bSta\nLKfaiKK4p6rix8Vwpzu5mMt2kyWfy9Ol4R2kszQcc4pgq/nNZKnSbGGLAtKEM0e9ocC7FZIoEPCq\n1FvtHf/vcbAxs+SSZSfhsUXq7Z3J0m6wbItqswW2RNC3//0ouBRGYz4+c6EfsdZEkmSUwCfbj88d\nTTAY7Gc53eRWMeV0yjpJSrvZQhDAu8WeweVRsYFKuUE27SRLatDblZrfgFsReeXJESr1Nj+6skIy\nkCDujZKqrjOTnwdgzfEX3+Etpfr8CAhoDSdps7S2s3d8CnOGAa8LSRJZyzewbHtfEZFPCyOdIlG5\n2uZGyvn+RxKf3rwSbHbLW58wWcp0hD3CB/Rs/Ztk6RGQ3O6u+eJBVNa8igcbEHxFYgE/M3ctbtzP\n0x/3H7hDIogiPc881a2kuHahgWx0lpRQ8GMHXbIkEvS5HBpe0wla/J7HO1ehkydwRSPUFxapLy7t\n+hqtVALb3ubNshd6o14+d2GEf/wL5/n//ukrfP2Ljzes9zjYUEpaL2xuzJfvZDBMi6dO9P2VJWmf\nJmJhD4Kp0mjpZEtNPGKA4b6Pbzonez14h3Zf2MROoCKVak5n6YD0T1GWGX/lVfSBGIHhEbwjw/jG\nxwkeP0bvZ14mGIzgkd1U2jXcLpmvnHweUfcjSyJnjxyswLAX3EmnO/iwEt7D2OgsdZOlgEp432Rp\nt86S2VXDE7ckKC5JwbJtbNvmycHTXV+ZTxPjnQDvRxvJ0seYW9sLam8vZjRA7NgodXKk81UO9Yxw\na94J3E5OPB5VLeoPoOkmhZqzWRmmxZrLC4qMtJrFtqyuKmalI/KwVFpByBaJ+HvwJvZOot2qzK/+\nvXP0RrykczWCPpXPXRhBGe6nMdZL7NlnEEQR3XI2Wpe081qoPVHiL71A8DGHhbdipC/gBA01jXKz\nRrFRI+YP/ZUNWYfcQT4/8QKnhoaw1Srvzzv08U8zWQp6XWB1gi5bJOj9eF2r3qiXSr1Ns23gkl3U\nGhrVhoar80w1t3RB2pqJZFnbaHjgFPYsy+Ly3XWOjET52w/Nje0FQRA4e6SXZlvn6kyWI7EJZFHC\nLbl5kK4zmgx25cY/LQz3xBAFgVSxSF3fSJa81Jsbks77B7KjHR+jdGlz9qjSdIJsz8QI8Refx/+Q\nOMsGVFnGsCysXVRrDwrNNLABVXY6S9giDU3rdocf/V6dlmbAATpL4CjihV0SsYiMWGvhCoU+sdy0\nKAr81POHENpBbj7IoSlCt7OkN1vOnNSWNduREbeplmvkMyUQbLxh/64dki88NYJLkXjt4gKmZXeF\nnRp6i6gnxN35Cm6XzPjA9j1F9vqQRQmj09my2tqnliyJoqOIl8537pEfU2cpHvbglt2U6hqpklOw\nOTX86bEoYHMOc0Ny/eMiV3aS5cgethwP42+SpX0QPn2K3s++jGegf9/Xbqh8Wdh8+dxZBEQsy2J6\n8vFoFqKikPjsy/R+5uUdniaw2W7/uHz6DUQCKoWqI3UOB6fhbUCQJHqeeRpBlileutzlAG+FVnBm\njx5W0doPf9XKLRteSxuLCcC7H0MF768TsiQScPkoVds0mgbHh/q3GWx+qn+rM8ckVRrIsvxYMxbx\ncC/PfPHvMv2lnyX2zNP0XHiC8OlTSKqKIAgMBBO4JIUXRi7wU0+d4tzRBK8+PfqJfSG8Q4OOjG/0\n0dTEgOon0PFa8vhN3KpM5IA0PLHtBDx6h4YnGxaiLG8b1t9Ijo7EJkj4PznlajeMDTjJa7OtI4oi\no5/Aqf1huBU3jbOTjD1/AstTJJVtMB4Z4cZ9R0L64YrpfogHnWNbzjlrQ72pY0kW9WgQSTNpptJd\nVcxyu9qZw7qH1NDoG53cN3AK+lz8458/z9HRKL/4peOoioTXH6I+3AOd66KZzpqnSLsHEZ5k8sDG\nsLshGnTjVd2Uam3upVexsek/QMHok8Cv+vj605/Hq/V3A/HgAaumB4HXrSBazjkRLOlAHZHdsNnV\nd5KiVM5ZgxOdrpvW2OxYaLqJhIkgsu16bPztoE/lH/7MqcfaLz573hk2/+57i7hllRdGL9AnT2BZ\n1jYK3qeFqCeI36uQrRaptTvJkuLtzlwd5DwOJRx6U662aZC7IbAQ9vnw9PfvKRAiSRKWZWNu9Z55\nTLQ68yEuRXJiKkuipRnoHUPu/5+9O4+Tqy4T/f85e+3VXdWdXrJ0dhIIgSSQEEPYjCgBRkZEEF86\njndGx+t1lJ+OynidcRzHDZmXXB0ugs4AGu4wcQYGlZEBZDFIWAIYIJCEkIWQvfel1nPO749Tp7o7\nCUlVd1V3ded5/wPp9VSfqlPf5zzP93lOJJvPksnaXhle5OTrMc20UByHdFcHiuNglbl2eCfLz2gm\nGfbKlXsVhfzAAHYuTy6dQTH1YVmjQCgAiktfzwBdR7oxDQXzHRbV0ZDJxcum09mTZsMf9pEM1TO9\n0IAiSJxDnQMsmJk4Zi+dFgygqap3HI6Nm8t7jZRK6OhbivpoAKfQ8bSUUs9KUFWFaQ319A1kae9J\nEVCDzGis7HUvHPSCpWz+5M+9E2kvNPZIxkrLWp4CwdLo7qwpmkZgSml3uP1gSVc1LjptESvP9AKs\nZQvKL+dQTbM4+PVoWiBAyxVriZexsfZ46mMB8nm7mF0ppcHD0YxolMQ5y3ByOY78fuPwYWBArrMQ\nLFV5oVCuYmap3Xvs3X0ZtuxsZ860uuIskImgPhzDdlyUvDWsLWmlaYVmB0rexoyVf6evIZQ4bskT\nwJKWRVxx2hoawgk0VeEvr13CNe+eP+pjNuvrmXr1HxNqm3HCrwvqAerCQXTLprFRIWwET5r98fdB\nqVnv7lbescnZebScfUzN+bzkLBY2zmXRlOOXj1VCS0MEy/De7KdPiVT07nhA9869G+jBCroc3Kdj\n5xW2v9XFzJb4Ma26T6a5zguW3m737pL3DmRBzTPQVIeuavTveJOwGUJXNbrTvRzubye1bz+xQITo\ntNK6Kk1JhLjxT5YXG4QEjQAu0J7q5I32XRzq8wK942WWKkFRFGY01DOQzvH6vrcBaBvlza1SBC2D\n8+edgd45C617esl3TUuhqgohs5BNcvSSMiLH449u8N939h32brK1Nns3KLLpwcxSNmejOg6aog7L\nLE1rjKBpKp++ejH10fIyXK2NEc6c4zUR2rW/h4ZQgkMHvQzJOw1AH42IFSYWCpAjxeGeHgxVx9QM\nBsrYsxQLmwTUIF39/cUFcH9hz9DJ9lz4ZeaZUSwu/ZInSzfQNZWAYZHO2uTswVKoR57dwzf/+Rly\n+eEZrIydJZXNg6uVdK3wr5/ZQ95rNFBfmfk8mqpwyZLZuK7LlkN94Lr0dPagOjkvWFIHr5nBQte+\nQ0e6cdIDmIaKdoIbD5e9ayaapvKrDW9i2w5nNZ/OnEQbAx3ec/3MOcc+BtU00XQTp1CSrOTyaBVs\nyOI3eYCxyywBtDV5a71M1mZqvKniVToRqzJ7ljoLeyOTUcksAaPPLJXDLx2Zl5yFqZt84soz+N+f\nWFGVC7AeCo2q1SwMvpjeOuiVupSbWfKFZrYRntlGtr2d7gBc8JgAACAASURBVFdeHfa5bEcniqZh\nxCp3p7sSYmGTgKlzoBAsPfvqAVzXnTBZJV9jYZOo19yhMm8qxzN0oRKoq2zgqyjKsDeqSlJ1/aQX\na0VRqA/FuOS8KSyaW0998OSvV1XXvaYXmeFleFreQTWHLwiSoXrObFqAWqE7hsejqQozW73nQiVL\n8GAwWNrbu5+WhjC57ij/8dgb2LZzzKblUkxNesd3sLAvsy+Vw1XzuNEwgcZGUvv3Y/f3E7Mi9GT6\n2N6xE729h0SwjmDryF6f/o2sx3Y+zQv7X6E/l6I50viOAXwl+IuG7fu8Rd+8UeyBKsdFy6ajOCZq\nLjzi7M87CZuFhbmrlbXHdaimhPczDnR4ixU/s9Q8pR5FgeyQLmuZnI3mOqiqgjKkwcPaVbP40Rcv\nHvE179LzvBso//2MVz6+/S0vcK9GZklVVBqjcVw9w4HuLsJmEEVRipmlUoJORVFIRqL0pbN0pbz3\n675sGkPXCJ6gayeAUbixNZrFZSbnXeesQoVBJGCRzuSHBUuPbXqL7W91cqhzYPj32l5mqfQyPO9r\n8oV9d6FE5d7XzjtjGgFTZ8uhXrI5m86DneiOjWoaaEODpXAIBdh3sAvDzp4wswReFueCs6dyuHOA\nZ149QMgIsqz1TLbu8s7VGce5kakoCnowiJrN0Z8dKARLlWvIkogP/qzwCG9sjMSclgS43nvunMaT\nV2SVyzIMFEUha48s+D/cmeLuB7fw8pveqIvGeGlVMpM/WBphN62RSIbqWTPnfM6Y4t0VNw2NeSW0\nvh4vfseUvYcKwdII3/z8luR6JEzPa68Xh5v6zR2MutHXHFeaoig0J8Mc7OjHcVyefmU/iqKw/PSR\nNxUYDzPqW1DTMeq15uJQzGoYWs8drOCbV62IWmEClo6uq9QHSwvstWAQCuUpeSdPPpdFdRh1Q4WR\n8mvij66NHy0/WAI4c9oMFNvikef2eP+eW362ZFphs/rhwgbbvoEcqDamoRGfPx9cl97tbxCzojiu\nw9sd+4j05og3NKOPMFMyJZzE1AyaI40sbVnEFae9mwtmrqjq3sTZLd7j7E/lUBSFeVNHtwevVDNb\nYl5XKvDKSyvIz2LoilHSIMfjOTazVCjDa4yi6Br57FHBkmN7g0KNwQWfoiijKtNdNLuBloYIG1/Z\nT2dvmu1vddFQFyw7S1Wq1roEKC5dfSnCppehGEh7nTNLvevfFPcCud2HvL2CqWwa01Cx9BNfb/TC\ne286O/LMUjFYKpzzSCBA3nYYKJyrgXSOvYe8DGFHz/DGD9m8N5BWcfWS1mPFzHyHdzOlksFS1Aox\nZ1qcfg127uum53AHqmujWvqwYEm3vAYJaj6L4WQxAobXIe8ELl81G1VR+OWGN72yR8dly852ErFA\nsez/aEYohJLJ0dvfA4477H12tOqHBKbBMQyWZrbEURwdXIVF77AHejRURcVQtbLL8N462Mtt/7GZ\nL/3wSR59bg/BoMLS+VOIS4MHTzQ8NrWavkSwrqJtEqvJH1yWzXndhoKjePNRDYPkSq8Fd/vTz2Bn\nMuS6e3Adp+ZK8HxNyRB52+H13R3s2NvF6bOSJd35qiXNiShaXytntLVUdeE3NLMUrlBZRC3x52wB\nJWWWwAuWlFwebIecnS/MyRje3GEsvWf5DNa+axbLR9FF8HiGliSeP38RsbDXCjdg6mUPbgaYmoih\noNJR6EblZ5ZMQ6Vu5mxUy6L/zZ3EdW9RrXf1kbCiI84qATRFGrlq4Xu5YOYK5iZnFjNN1TRnagJc\n770gHgoOZmXGwP94/yI+8r6FJOOV/Z11gRi4CiFt5DdmGuu9zMohP1g60kddJOC1cTc07MxgsJTN\nOV6DB01FGWUlxVCqqvCe5TOwbYf/99BW+lPZET2XS9VWaA/f058jbHiLs/50DstQSr5uTy3s3dl9\nuB3XdRnIZTANjcBJSkmNQhCQHkUZnp+VChT2jcULTXM6CjOxvLmIXilj59HBUqHBQyQQKGlvmW76\nQ4JtVMvCCFXuJmBAt7wW+yGNN9/upmv/IVBcNMtAVwaDJc200DUFzc1h2hn0SADjJH/nxvog71rc\nyr7Dfbyw9RB7DvTQn8pxxuyGdzzHRuHmT2/HoeLvrZT6IWV4o93/W46WhjBGugmtr4l506qzVtA1\nfVhW8524rsvW3R3cfM8m/vdtT/H0y/tobYzwJ380jysuaWZGS+ykrx/fxFjVj8Jo9yxNZomjXkyj\nbQ5gNSSJn7kIO5Wi45lnyXZ4d8BqNVhqKexb+s8ndwCwcoKV4AGcPivJtClRLlpa+Ts4Q+mFUg8V\nhUD9yGY51bKoOfiGfLLmDj4tGERVVJRszmuDnfPuFFdiTsZIJONBrn3PaVgV7uYV1AOoikLMijA1\nNqW4D2jhrGM3LZfC0HUiVpDuQsvc/oEsqDZB08QwLSJz5+BkswQOe5vZrfY+4laspCY7taSxLoip\nes+FpljdmHbYbGuOcemKynahAkhGYuids6jTRl5SqGsqDXGvfXg6m6e9O0VLYxhN1VBMHTeXJW97\n+16yfhmecfJy2nKtOquVoGXwzKteY59qVoHMbPQWzL2pbDFQH0jlsYzSXz8zGgvtwzu6SGdtHPKY\n+skzS34ZXjY3imCpEGgFTL+xhvcYOgpt3rcWhsjDsZmljO1llmKlzrMZcv1US9x8XypVVYkGgkyb\nXU8ma/Pa5p2Aix4wj8osWeiaiuHk0N2cN2OphJLdK86fDSg88OQOXtnhlRGeqFTZDHmPb6DDK9XV\nS/wblSIRHZ89S7qmsrRtDvMbZ5W9n7VUpqaTO0EZnuO4vLD1EH//z8/wrTufZfP2w8yfUc8N1y3l\n49e00mVtoz83wMy6aZgldqcdu7/gOBnLPUsTTX1s8Ik80hK8o8UWLiBz8CCpt/eR9Zs7nKQb2Xjx\nuzK9vqsDXVNZtnBsymQqKREL8A+fXlX132MU7vZpulFWJ7yJws8sldLcwacFvSBCzeRI5dKFgbSV\naf1aS3RN510zziFihFAUhdVnT+XxF/byrsUjD17qwxH2tB+kdyBTzCxFC/OwInPn0LPlNbQ9B7Bm\nGTSndPRgAPM4M+dqmaoqJKMR9vekmTpJsrHRkInimIQDo3uOT0mEePXNI+za7wXErQ1hNEVFMXQ0\n16ZvIEtdNEAma6M69rASvEoJmDoXL5vGg7/fCcC8GdXLLCVDdYSDBl29GW69dwvp3jdJZfIkwqUH\nS7ObvJLXgz1d3kBbNY9p6CddxBt+B8jRBEuFzJI/EDRemLHV3e8149i2e7CleWfP8JlOfakUtu1Q\nHy8tQzR0345W4n6ScgT0ANNnxjiiaWS7u8EEPTi8DE+zLDRNJZhPYRoKasgqKVhqaQiz/Ixmnn11\nP+2FoPFE++rMsPe+kyoMrdartGdppM1YRuovr11S1Z9vaDo9zrFzvvK2w9Mv7+fB3+8sNo45e/4U\nrjh/Fi1NJs+/vZltB9oxNYMV085kRnxqyb9z0meWohIsvaOh9dkjbe5wNEVVSZx3HqplYQ+kUFS1\n5Jk8Y83viAfeZPexTFVPNH4ttR6LVKy1aS2JWhECullWa28vs6ShZPOk8xmUnBcsjdeepWpqjTYR\nKzSwmT01zh1/vWZU+/uSkSgo3v6Lnv4sKDbRgHfzQg+FCE2fhtPTxyXGbBrUMIHm5gn5vJua9LKU\n81on3o2Y4/H3QI22cYS/h+OlbYcBL1hSVRXF1L09a4XyrmKDB7M61+Y1y2egKgqWqTNtSvVuAgV0\ni+kN3nMhn9VpqPMa8pw7v/QSs6a6KLqq097bQ1/K2+cXNKyTZtz89vij6Ybn7w8JFILWukJmqWtg\ngGzOZuf+bqYkArhqlo7e4YvYrsLcrPpIaXtDhl4/9brKB7BBPYBhqkyd0YDiArgYQWtYGZ6uGWiG\nhpnPEgrqOAETo8RmMFee7w0J7hvIMqM5dsIb9oFCsJTp8vZnGYHKBUvxsFl8bky2tY2p6TiuXcxA\n+75z13P85D9f5kD7AOefNZV/+PQqPn/dEpRQN//9xpMc6m9naqyJ9829kLa6aWVlqyd9ZqnSJSmT\nSdDSCZg66Wx+RG3D34keCpJYfi5HfrehJps7+IZuujzvzIlXgjeW9FAIFAWjQjMvao2ualw272I0\npfTnqp9ZUjI50vn0cQfSTlYjKb8bqjHmLUz3tnfSkx4AxR220TYyby4De96i68U/ePspp07M1+e7\nFk0nVJdhfuvYdMKrNv99YrTB0pR671y/uNXbq9HSEEFXbBTTACVNX/cAtCbI5mx0x0Ezq7NUScaD\nfOzy09FVtWoz6sBrSHHhmXNZOKuOqxauKc702bRpU8k/Q1VV6kNR2vt66O5L4yr5wVbuJ+CX4aVH\n0w0vnwdXIWh5570+UthrM5DhzX3d2LbDlJl9HNy7myPdw8uYuwb6wVWoj5RWYqYNCRiM48yZHK1A\noaT8tNOb2bfzIOCiBYZ3w9NUFdXSvWG0ARXXMjDU0p7zM5pjnD1/Ci9tO8Sik8ygC4S966Db04cC\nGBXMLGmaSjxs0dWXJjSGZXhjwdQNUFwGMjliIe98Oo7Ljr1dNCXCfPlj55CMB+nL9vPEro0c6h+e\nTRpJSe/k+guKstXHAuw/0lexzJIvNG0qDeevGnH3qrEQChjURQKks/myBwefamLResxVy2huPf6U\n+Mmg1DuHPi0YREFBy+bI5LMYhczSqRAsjVZLvbcI2t/RTc+AV7YzdE+D1diIURcn19UNikKgeWJ1\nqfTNa2hDUV0aw5OjDM/fAzzash6/BPpAYSh4a2OYnNqPZunkcOkv7IXJZHNYuGijGBB8MhcvK212\n12gtbV1EKpceNvy0XA3RKIf7Otm69zCoDpESgiWzUIaXy498KK33vUpxllsy5p2/3lSKbbs7cXEJ\nxtIEAhodHT3Dvrc3lQZXK7nTYLHrnKJgxiofLAULe7wiDVHmTKvjSCaNaurDGnNpioYRNIEM4ZBO\nyjIwyzhvH1ozn3Q2zwVLTryXOBj1MmdKoUTSDFZ2xmMiHqCrLz2me5bGgv+c7k+ni8FSfzqH47pM\nbYyQiAV4o30Xmw++Rt6xmRprYlnLmQSMkQejk+svKMpWH7W8YClY+XLFUBXaRlbaX3zAG+xbySGe\nk5Gmarx72WXjfRg1RQt6Xb30rEMaCmV4yqQsw6s0v7PXge5u+jIuhq4RGvJGpigK0Xnz6HjuecxE\nYtjd5okkGaonGZo82di50+u4cOl0Vp9deq3/8TQNyeoHLYO6iEVnKu3dzQf6erzSrXwmi6qCUsVg\naaxEzDARc3Q3D5vj9by2fw+vvb0PgHDg5Nkav8V7ua2Wh8raXmbJLDSkSMYKmaV0mq17OnGNFPGo\nTtDS6ch5pXn+e2pvKoXilDaQFkA1LVxVxQ1ZWCUEg+UK6N7PzFs6Z85t4M2Ofrotc1i2QVc1IrEg\nUxfEsYIKe8oowwOY2hjhxj9ZfvJjCUdQ8PsIghmobLB06Yo2dh+oJzDJgiWrcD3oSw/uj+vu8/4/\nFHaGZZPOm7aY6fHWUTeImVx/QVE2vyNepedxTBQLZ9Vm8wlR+9TCAl7PeXdslVweTTHGrRveRNKS\n8LrDHentpT+jYcbUYfOcwBt2nT54iFDbjHE6SnE0Q1f5xJVnjPrnNNZ5zUJc16W1MYyiKKiqimaZ\noLikCpmlfCaHolDRtuET2dSEl4nYdeQgGJTUYc6/C5/Nj7wML5fPo7gqlukFQPFQwOvul85weH8X\ndYk8lhkiaGq4Wo7O3gxNiRCO49CfyZQ8kBa8ErjU4lm4hl5ys51yBAs3ZXKWhgU4rntMUx5N1XAN\njVjEIJ3P4lhG2ZUHpdBME9U0sbNZAIwSgt9yrDyzhZWTcItBoDCguj+TLX6spz+LY3VzQDlCvL+u\nItmkoeQKdIrze/FXqhueEKcKVddRTROt1w+WbFTFnHTd8KohaoUIBw06+vqwsxZRQzsmWFJ1nYZV\nK8fpCEU1GbpKMh7gSFeqOExbU1Q0ywBcUv1ek4BcNuPtC5RgCYC2Rq+cM4tXvhgrYXFt+pklexRl\neLZfhuf9LE3VCBoGR7r70LN5mqfYKBRaVKtZOrrTNCVCZO2sNwzXLT2zpCkadtJrClVKB7pyBQuZ\npYypEQEc10EzjhMs6TpO2sVWAV3DLHHPUrm0YLAYLFkVLsObrKzC+UplBm8A9PRnscOHCJgNnDdt\nSUWySUNNvPZCoqJmtngXpWp2AhJistICAbTsYGZJ1Q1Z2JXAUHWiAYusk8ZR8liGViyPEacGv8lD\na4PXEUxTNfSADgqk+rwyPDuTRVGVqrQOn4imNSRRVQVX94LJWAmLa78b3mhah+cKZXjWkEYbQdMC\nxcZVc0RjLk2RRoKWgavlih3x/BlLXhleiSMZhuwdMkscGFoOv8FDuvCjXdc9Zp+prmi4uobrutim\n7u2fqkLgBqAPOYeGNXaDqycyfzjywJAB1p29KVBtGsNJZtSNrInDiUiwdIpbtmAKP/j/LmLu9OrN\nmBBistKCQdS8DbaDksujWydv5Su8PUmJcBRXzXvzYvRjy/DE5OY3eWgtZpY09KAJuKQHvMW2nc96\nmSUJlgCIWkGiQYtCz+uS2nH7TRmyJxjieTI52wZXLe5ZAgiZFq7i4Jp9JONBWqNN1IXCXhleYcZQ\n1s6RzuYxNZNAiR0N1SEjAqxqBEuahQKknRxaMIiDe0xmSS2U4Tmug23p3l5UtTr7mvVCF1DVMoc9\ndvHOAoXqjVR2sAyvo8+bq+TPAKs0OTOnOEVRSu5SI4QYTgsG0VQVJZtDydnoE7QRwXhIRqOg2rha\nDlPXqrI/QdSui8+ZzgVLpnFGob2ypmpoAQMUyKTS2LYDeX/PkpSJA6iKSqIwm0cB4iVklqxRdsNz\nXIe8Y3uZpSGNkMIBL7MUjGYJB3RaolNojMZBzXOk2ysTzNhZMlmbSBl7cdRhmaXKn3dVVbF0i3Q+\ng9XURC4WRDuq052fWXJwyZsqhmpU7SaYWegYLOXbpQsWAu+BIcFSZ7/3nKsvvD4qTYIlIYQYIS0Y\nQFFU1FQWJW+jV3iD7mQ2pTCs2tXTBE2randuRW1qa47xP/5oUbFrmqaoYOjomkIulSkMpLVRVQV1\nEnTDq5SGqPe6MQytWFJ2IsXW4SPcs+Q4TmH4pzKsa2wkEAAF6hpsYoEoYTNEY8w7tsO9XvvwVNY7\nj+Xc7R86665apW9BPUAqn6ZuxTkMnDMf/ahrj6aqoGu4rkPO0IqljNVghPxgSTLrpQoUMoHp7JA9\nSymvdDcRqc64GgmWhBBihLRg0JutVNiQLpml0rXUewsrFJdwBYcxiolJURQUw0DTIJtKk805aK7X\njl+CpUEt9V7JvKl7GZKT8dssjzRYyrs2tuOiKtqwYdTxsBcAJeIWLdEpACQjMVRFob2/Fxi82z90\n4PTJ+HuWFMqffVeqoGGRd2wyeW/Pi3ZU+ZumatjRII7rko0Fqha0weBgWk26qJYsXPhbpXODmaXu\ngX4URSmpQ+RISCGwEEKMkB8saYUN6ZVu/TqZNcXjqKqC47hE5e8mAN0wUDWV/ECWTM5GdW2vDE+C\npaLpSW/chanrGOrJl3CDmaWR7VlyHAfbdo75XYtmTeFIupG25hgtES9YilphgpZO14AXLHUUWsDX\nhUsPlvwyPFMzq1b65u+P7Mt6wdzQbBZ4ZXhONITz3pVk+g5RV6VOeDBYhqdVYabUZBU0/WBp8Dnd\nm0kRMLVia/hKk8ySEEKMkBYMoCkqap+fWZJFf6kiZqg4siBa4WGMYmJSVQ3F1NDsPF29aa8MT1FQ\npcNk0bRkgkjIpKkuWlIwETBHl1myXRvbdovDbX1h02RWaxxLN2gIeQFcxAgRsHT6MgPkbYeuQrCU\nLKERhU9RFBSqV4IHg4Np+7Le8R1bhuf9O2V7mQuzinvmwslG8g1x9GnNVfsdk004UOhomPPK8FzX\npT+TLnRVrU45o1yBhBBihAbL8FJe2YiU4ZUsZAQJBw16+rMlbVQXk5/uB0uuTXv3YLCkmZJZ8sUD\nYdacO4O6QKykr/ebMuRHGiw5NnnHIXzUvh2/RK4p0ljs4hYuDKbt0LJ092UG95HESt90rygKQSNI\nxKzO3hMYHExbzCwdHSwVMk3pvHcTzKhiZikUCJM6azaBpARLpQoVyvAyhTK8VCZP3s1hmVpJpakj\nIcGSEEKMkBcsKSi245Xjyd6bkgWNALNb4xiaRmuitIWfmNxURUUxdTQnT0dP2ivDUxVUQ/Zz+CJm\nGE1RCZulZbH91uEjzyw52LZbHG7rCxveDY6psabixwzN8DrfaV109KS9YMlVSETKy7ivmXM+ulK9\nhi/Bk5ThqaqKqiikC3uaqpnliloR3jV9GYmQjG8pVahQhpfNe2V4vQM5UPNYplGVdvMgwZIQQoyY\nomlolgW93kJPlU26JdNUjemNdTTWhwjJMEZBYdFqaaiuQ0dnP6proyqgVLEb2USjazoXz3pXSZ3w\nAKxCCVneGdmepbydJ287mIHh56A11sS7Z68iERy+yK8PRXHVI7R3pehLp8DVqCtzPEm1Z64F/MxS\n5vhleOA9F3OFv1k1u+EBTIu3VPXnTzYhvwwv75XhdfdlQM0TNksrTR0J2bMkhBCj4E9gVxVV2r+W\nKWR4QZIMpBXgBdCqqeHi0tnZh1bMLEkZ3lCJUF3xtXMygUJmyWv/Xb5sYT6TedS+MVVRSYbqj1mc\nJiJRUFwO9PTQn82gOBp10dp6fQcLe5b6c16wdLyxBUM/Vs0yPFE+SzfQVIVcIbPU05/FVW2iVvXK\nuSVYEkKIURgaLGlWbS0Kap0ES2IorVCGB9DV2Yfm2KBpMoNrFHRdQ0Ed8Z6lgVx5TQ4aI15J7aHu\nLgayGVR0woHaCjYs3UQBb9gux5bhwfBsUzXL8ET5NEVF1zSytpdZ6ugdAMUhFqxeGbwES0IIMQp6\nyA+WFCnDK9P0eCtN4QZiVnWmrouJRVNVNMsAxaWnu9/LLBkaapVKa04VmqoWA4Ny+YM/TaO0UrTm\nwhyow/2dpDN5QmYAVa2t86cqarEjHrxzGZ5PgqXaoigKhqoV9yx19vnzvKrXFEQKgYUQYhRMfwK7\nrqNIi+OyTI+3Mj3eOt6HIWqEpmpohb0xuVQa1XVA14qzd8TIaIo24mApk/UWpFaJ17YpsTgK0D7Q\nSSZrU1fFu/2jETQsUoVud8cvwxt8zlVrOK4YOUPT6S88N/3hx3VVDJbkCiSEEKMQiERRUDACwapt\nLhXiVKApGpplAi6aY6O5NhgSLI2WrqrYzsj2LPmzbI7es/RO4oEIAUunfaATx63dgdNDS3+PGywN\nySxJsFR7DE0nZ+dxXZeuAS9Yqi9jnle55DaoEEKMQiAcZW6yjWCiYbwPRYgJTVM19IBXhqc7eVTX\nQdF1CZZGSVM1cvbIuuH5wVKgxCYbAd0iaBp0ZLwZS/FgrQZLQ8rwjrNnaWgAZaqyVK41pm7g4pDN\nO8V5XvWR6pVzyxVICCFGQQsGMTVTBtIKMUp+gwddUzDtLODKnqUK0FQNe6R7lgrBklXiniVFUYgF\nBsuh6sK1OXDaH0wLx88sDd3HJJml2mPqOigOqXSO3nQKy9AIG9LgQQghapIW8u6cqhIsCTEqqqLi\nGjqGrhaCJVClDG/UdFXFdkfYOjznZaQCZukBQzwQLf5/XRVLo0YjeLIyvMLHNEWVbow1yAuWYCCT\noz+TwjI1LL16DZYktyiEEKOgh8Mkz1uBmUyM96EIMaHpqoaraxiGipnO4iqgGLpklkbJzyw5joOq\nlhd4ZvxgqYxZV4nwYDlUIlK9TfejETBOUoZX+JipSYfTWuQPW+7qT5GxM0QNbVhpZaVJsCSEEKMU\nnjVzvA9BiAlPVTTQNQy9UIanuiimZJZGy9A0UCBnO1jlBkv58vYsATRGY8X/T0ZrM1gK6icuw/O7\n4RmaLJNrkR8sHezsA9XGMvWqtniXK5AQQgghxp2fWdJ1FaPQkEAaPIyeHwyks9myvzeb9/Y6BczS\ng4Yp8bri/zfGa3OG2knL8IqZJdmvVIsChpfxO9DRB2qesFndbrRyBRJCCCHEuFMVFVQFzfIW5opC\nocGDLFVGw9C8hb9fUleOTKHBQ9AsvRytpa4QLLkKiWht7lkydbNY3nm8Mjy/wYOhSrBUi/w9dEe6\n+3DVPNEq7xmWK5AQQgghxp1f+qRZRuHf4MpQ2lHzg6V0tvxgKVvI8AXLaPDQmqgDFyzNwtBrszmC\nqqgEdAsFjpuR8LNNUoZXmwJ+GV5XLygusUB1g3J5FgghhBBi3PkLVD3gLYRUVQFdlQYPo+Qv+DN2\nruzvzRXK8IJW6cGSZRgkg0nCZm13CI1bMTRFO36wJGV4Nc3PLLX39YIKsaAES0IIIYSY5PwF6mCw\nBK4mmaXR0kdRhpfN58FVymodDvDt669DrfEYd8X0Jbiue9zP+YG7BEu1KVQoC+3N9EGw+vO8JFgS\nQgghxLgrzrYZkllyNbWqG7dPBX4ZXjZX/mDanO0FS6ZRXsAaCdZ+kHGiQEgrBOi67FmqSUHLC5Zc\nzcuWJiLVbSQit2uEEEIIMe78BaoRHMwsIXuWRs3Qvfvi6dwIyvBsG1CwjNrce1QtU8JJpsVaaI01\njfehiOMIFYIlNK/DY7WDJcksCSGEEGLcFe/mD80sSbA0aqafWcqXX4aXd2wUVz3lgqWAEeBdM5aN\n92GId+B3Z3TVPLqmErGkG54QQgghJrliB7KgiWVqBEwNV1MlWBolv8HDSIKlXD6PoqhompwDUTvC\nVmFOluISMDUCQ+ZmVYM8+4UQQggx7vwGD4qlsWZ5G9ObIqBJN7zR8svw/AGz5cg7dnHPkxC1IhwY\nnPtlSbAkhBBCiFOBn1myNRVDV8HQQVEkszRKZmHWUW6EZXi6zBoSNSZomPi3UAKmgVHlroVyBRJC\nCCHEuPP3LDmFki9X85ZD0g1vdPxgqdzW4Y7rkLdtuaSrWgAAIABJREFUDFUyS6K2GJpeLA0Nm4Gq\nXyMkWBJCCCHEuFNVb0li697Cx9E0VMksjZqpe3fds3Z5wZLt2OQdt7jnSYhaoakaeiFYiljBqv8+\nuQIJIYQQYtypitfMwS5klKS5Q2WYhU52uTKDpbxjY9uO7FkSNUdV1OLzMhKQYEkIIYQQpwhNUbH9\nMjxdRUFK8EbLKjR4yJXZ4CFTmMvkN4gQolYoioJeCJbqQqGq/z55BQghhBCiJmiqhq2qmPX12OQl\ns1QBpt863C4vWEplvGDJlGBJ1CCz0NShLhSu+u+Sq5AQQgghaoKmqNiKS/P7LiU3u0WCpQoImN6i\nstxueKlCZsmUMjxRg/y9dPWR6gdLcrtACCGEEDVBUzWydhYAx3VlxlIF+JmhXLmZpawXLFlGddsy\nCzESs1rqyCtpmuLRqv+uMQ+W8vk8X/nKV9i3bx+apvHtb3+badOmDfuaBx54gLvvvhtN0/jQhz7E\n1VdfjW3bfPWrX+Wtt97Ctm2+9KUvsXTp0rE+fCGEEEJUiaZo5B1vUe+4DoYq93RHyzK8v2G+zGAp\nnfUzS3IORO1Z2NZAskEhNBm74f3qV78iHo9zzz338Gd/9mfcfPPNwz6fSqW49dZbueuuu7j77rv5\nyU9+Qk9PD//5n/9JKBRi3bp1fPOb3+Tb3/72WB+6EEIIIapIU1Uc1wG8YEnK8EbPzwz5QWip/MyS\naUiwJGqPXpj/FdCtqv+uMb8KPf3006xZswaA1atXs2nTpmGf/8Mf/sDixYsJh8NYlsW5557LCy+8\nwPvf/36+8pWvAJBIJOju7h7rQxdCCCFEFWmKhuO6OI4jwVKFBAy/G155e5b8bniWBEuiBtUFYgT1\nACGj+pmlMX8FHDlyhEQiAXgD6DRNI5/Poxdqaod+HiCZTHL48GE0TUMrbDK86667uOKKK8b60IUQ\nQghRRZo/mNa1cWXPUkX4wU6uzMySX4YX0GXPkqg9Z0w5jdOnzB+TGypVDZbWr1/PL37xC5TCxc51\nXTZv3jzsaxzHKX7e/5qhjv73unXr2LJlC7fddluVjloIIYQQ40FVvJuitutllhTJLI2aqesogO04\nZX1fppCJkjI8UYsURRmzOWxVfQVcc801XHPNNcM+duONN3LkyBFOO+008oUXojakLWVTUxOPP/54\n8d8HDx5kyZIlgBd8Pf7449x6663DvudEji7zE7VFzk/tk3M0ucj5nNgm+/nb3beLQ5l2nh94nn1d\n++g3etnUWf09CeNlLM6n67o4rkNvf29Zv2/n7j3Yts2hAwcm/fNupOTvcmoY89sFq1at4je/+Q2r\nVq3it7/9LStWrBj2+bPOOouvfe1r9PX1oSgKL774YrEL3r333su6deswymhjuWzZsko/BFEhmzZt\nkvNT4+QcTS5yPie2U+H8uW8baJ0WZ8xZxL4dnTRHGlk2c3I+5rE8n9amjRi6Vdbve7lnAO3wHubP\nmc2yxQureHQT06nwejyVnCjwHfNgae3atTz11FNcf/31WJbFd77zHQBuv/12VqxYwVlnncUXvvAF\nPvGJT6CqKp/97GeJRCLccccddHd38+d//ue4rouiKPzzP/9zca+TEEIIISY2v8NVzvEqT6TBQ2UM\nbcleqkzOOwfS4EGc6sb8FaCq6nHbfn/yk58s/v+ll17KpZdeOuzzN9xwAzfccEPVj08IIYQQ48MP\njvJ2bti/xehoqoqdLzNYynvnIGiY1TgkISYMuQoJIYQQoiZohcxS1vYzS9INrxJ0VcN2ywuWsoV9\n5QFTuuGJU5sES0IIIYSoCVqhG15eyvAqSlO1EXfDC0qwJE5xchUSQgghRE3w5yzlHCnDqyRdVck7\nzjHjWE4kZ3uZKMksiVOdXIWEEEIIURO0QnCUkzK8itJVDRQH2ykjWCpklkKWBEvi1CbBkhBCCCFq\ngibd8KpC13RQXDLZfMnfkys0hAha0uBBnNrkKiSEEEKImuDvWcpJN7yK0jXv7+i3Ay9Fzs6jqgqG\nplXrsISYEOQqJIQQQoia4GeWBhs8SBleJfjzq8oJlrJ2Hl1VJWAVpzx5BQghhBCiJvh7lgZbh8sy\npRIMzRurWWqw5Lou6Wyu+H1CnMrkKiSEEEKImqAWuuHlpRteRfmldP6g2ZM53JkincuRiIaqeVhC\nTAhyFRJCCCFETdCLe5Yks1RJeiFYSpeYWXp9dweumqc5Ea3mYQkxIchVSAghhBA1QZVueFVRLMMr\nsRveK3veBsVhfnNLNQ9LiAlBrkJCCCGEqAl+Zslv8KBIg4eK8MvwsnZpZXjb9u9H11ROa5FgSQgJ\nloQQQghRE/w9S47rDU+VzFJlmHohWMqfPLPU3ZfhSH8HiViAKZFktQ9NiJonVyEhhBBC1ATtqOBI\nWodXhql7ZXjZwqDZE9n+VheukWJKXYSoFan2oQlR8yRYEkIIIURN8Ocs+SSzVBn+nqVs7uTB0pbd\nh3C1HHOmNEsZpBBIsCSEEEKIGqEq6rBskgRLlWEapbcO3/L22yiKwoLW1moflhATglyFhBBCCFEz\nNGUwuyTBUmUUGzycpAwvncmzr/MwdVGLppjsVxICJFgSQgghRA3R1MGliexZqgxLNwDInaTBw463\nu7H1ARriQZLBurE4NCFqngRLQgghhKgZqmSWKs5v8JCzT5xZem1XO66eZkYyiaEZY3FoQtQ8uQoJ\nIYQQomboQ5o8SIOByvD3LJ2sdfiWvftBcTmtdepYHJYQE4IES0IIIYSoGUOzSZJZqgzLbx1uv3Ow\nlLcddh4+QCxsMq2uYawOTYiaJ1chIYQQQtSMoZklCZYqwzS8krr8Ccrwdu3vIaf0k4gFSIbqx+rQ\nhKh5chUSQgghRM2QzFLlBQx/z9I7Z5a27+nE1VM018eImOGxOjQhap5chYQQQghRM4a3Dpc9S5VQ\nSoOHLXsO4mo55jXLMFohhpJgSQghhBA1Q5MyvIqzCpmldyrDcxyXrfsPELR0ZjY0jeWhCVHz5Cok\nhBBCiJoxfM6SLFMqIWAW5iy9Q7C0v72fgXwPyXiQZCgxlocmRM2Tq5AQQgghaoYmc5YqztROnFna\ntqcT10jREA+SCMTH8tCEqHlyFRJCCCFEzZDMUuVpqoqmKuSd4wdLrxeG0c6a0oheCKyEEB65Cgkh\nhBCiZgzLLCGNBipBUzRUVSFvO8f9/Gtv78cwFGY3No/xkQlR+yRYEkIIIUTNGNrgQbqyVYaiKGiK\niu0c2zq8vTtFR6qTZDxIY1j2KwlxNAmWhBBCCFEztELpnaqoEixViKIoaJpG3jk2s7RtTxeukSIZ\nD5AI1Y3D0QlR2yRYEkIIIUTN8DNLMmOpsnRFO+6epa27O3CNFK31ccJGaByOTIjaJsGSEEIIIWrG\n0MySqBxNVbHdY4Ol1/ceQtVt5ja3SCZPiOOQK5EQQgghaoaq+JklWaJUkq5q2I6D67rFj/Wncrzd\neYRELMCUiOxXEuJ45EokhBBCiJqhqxIsVYOmqrg42M5gsOTNVxogGQuQDNaP49EJUbvkSiSEEEKI\nmqGqfhmelIRVkqHpoLjk8oNNHra91Ymrp2isC1EflGG0QhyPBEtCCCGEqBmyZ6k6NE0DhgdLW3d3\ngJFh9pSmYS3bhRCD5EokhBBCiJoh3fCqw1BVUFwyuRwA2ZzNm4cPEo+aNMeS43x0QtQuCZaEEEII\nUTM0afBQFX4Qms15HfHe3NdNXu0nGQuSDMl+JSHeiVyJhBBCCFEzNGnwUBW65v1dM7k8ANt2e/uV\nkvGABEtCnIBciYQQQghRM2TPUnWYug5AOuuV4b2+xxtGOzVZR8gIjuehCVHT5EokhBBCiJohwVJ1\nGH5mKZ/Hdly2v32YcFhlWn3jOB+ZELVNrkRCCCGEqBm6ZqAqCrqqj/ehTCpDy/D2Huwl7fbSEA/K\nfCUhTkKuREIIIYSoGbqqcf6Mc4mY4fE+lEnF0LwlXzafZ+uewf1KDaHEOB+ZELVNgiUhhBBC1JTm\n6JTxPoRJxyyW4eXYtqcX10jRWFdPXSA2zkcmRG2TMjwhhBBCiEnOb/CQyeXZuucIVtBmen0DqipL\nQSFORF4hQgghhBCTnFEIlg509NGV6SZZF6AhLCV4QpyMBEtCCCGEEJOcX4a3dXeHt18pFiARqhvn\noxKi9kmwJIQQQggxyQ3NLLlGimRdkAbphCfESUmwJIQQQggxyVmFYAnFQQ9kaamvI2AExveghJgA\nJFgSQgghhJjk/AYPrp4hUWfQKPuVhCiJBEtCCCGEEJOcaXh7llxjgEQsIMNohSiRBEtCCCGEEJOc\nZQxmlhriQZIhCZaEKIUES0IIIYQQk5ylGwAoikJDXYh4IDrORyTExCDBkhBCCCHEJBcwvWCpPmrR\nGE6gKrIEFKIU+ngfgBBCCCGEqK54OMAZs5Ik4gEpwROiDBIsCSGEEEJMcpqiMm+GFyRJsCRE6SQH\nK4QQQggxyanq4JJPOuEJUboxD5by+Txf/OIXuf766/noRz/K3r17j/maBx54gA9+8INce+21/Pu/\n//uwzx05coTly5fz3HPPjdUhCyGEEEJMaJritQ6PmmEs3RznoxFi4hjzYOlXv/oV8Xice+65hz/7\nsz/j5ptvHvb5VCrFrbfeyl133cXdd9/NT37yE3p6eoqfv+mmm5g+ffpYH7YQQgghxIRlaSZRM8yM\nuqnjfShCTChjHiw9/fTTrFmzBoDVq1ezadOmYZ//wx/+wOLFiwmHw1iWxbnnnssLL7wAwMaNG4lE\nIsyfP3+sD1sIIYQQYsJSVZXL5l/MGVNkDSVEOcY8WDpy5AiJRML75aqKpmnk8/njfh4gmUxy+PBh\ncrkc//RP/8QNN9ww1ocshBBCCCGEOAVVtRve+vXr+cUvfoGiKAC4rsvmzZuHfY3jOMXP+18zlP/v\n22+/nQ996ENEIpHjfp0QQgghhBBCVJLijnHUceONN3LFFVewatUq8vk87373u3niiSeKn3/22We5\n9957i3uZbrzxRt73vvfx4x//GMdxcF2XPXv2kEwmueWWW5gzZ847/q6jS/yEEEIIIYQQ4mjLli07\n7sfHfM7SqlWr+M1vfsOqVav47W9/y4oVK4Z9/qyzzuJrX/safX19KIrCiy++yFe/+lXuueee4tfc\neOONfOADHzhhoATv/KCFEEIIIYQQ4mTGPFhau3YtTz31FNdffz2WZfGd73wH8MrsVqxYwVlnncUX\nvvAFPvGJT6CqKp/97GeLpXdCCCGEEEIIMVbGvAxPCCGEEEIIISaCMe+GJ4QQQgghhBATgQRLQggh\nhBBCCHEcEiwJIcQkI9XVQgghRGVIsCSEEJPI1q1b2b9/PyBB00T1+uuvj/chiArJZrPjfQhiFLZu\n3cpbb7013ochKuTpp59my5YtZX+fBEuiqlKpFD/4wQ/o6ekZ70MRxyHnZ/IYGBjgtttu46Mf/Sjf\n/e53AYYN/Ba174knnuATn/gEP//5z8lkMuN9OGKU7r//fv7X//pfvPLKK+N9KKJMb7/9NjfeeCMf\n+9jH6OzsHO/DEaO0Y8cOvvrVr/IXf/EXPPTQQ0B5NxPHvHW4OHWsX7+ehx9+mAMHDrBo0SLWrFkz\n3ockhpDzM3ls2LCBW2+9lZUrV3Lbbbexc+dOABzHQVXlnlite+utt/g//+f/YNs2ixcvRlVVLMvC\ndV0JeCegp59+mnXr1gEQCARobW0d5yMS5bj99tt57LHH+NM//VOamprYtm0bixcvHu/DEiN0//33\n87Of/YxPfepT/Omf/ikPPfRQ2e+NEiyJiuvo6OCWW24hnU7zhS98gd///vfMmzdvvA9LFMj5mXx0\nXee73/0u06dPZ8OGDTz11FNcffXVEihNELt27WLFihV88IMfBOBzn/scHR0dJBKJcT4yUa729nZ+\n8YtfcO2117J69WpuuukmNm3axHve857xPjRRonnz5vHBD36QRCJBNpslGo0CyM2LCSifz7N48WLW\nrVtHIBDgN7/5Daqqoqoqtm2jaVpJP0feSUXF9PX1ARCNRoulQKeddhpHjhzh8ccfH9+DE3J+JpGu\nri6++tWv8l//9V8AnHfeeUyfPh2A008/nUQiweHDh8fzEMVJ3HfffTzxxBMArF69uhgo7dixg+nT\np5NIJGTP2QSRz+d5/vnnSaVSJJNJbr75ZlavXg1AY2MjjY2NgOwhrFXbt2/nr//6r+nt7QXg4osv\nLt6o2LNnD88///x4Hp4o0969e7n88st55ZVX0HWd2bNnEwgEAFi4cCHPPPMM6XS65EAJJFgSFXLv\nvffyqU99ildffRXDMJg7dy6u6+I4DvPnz6elpQWQN4vxIudncnnjjTfYv38/99xzD7ZtAxT/29HR\ngW3b1NfXj+chihPo7u7m//7f/8tzzz3Hjh07AK9kEmDWrFls3LiRbdu2oSiKvCYngG984xvccsst\nbNq0qfgx//X49ttvFz8u57I2vfDCCzzyyCNs3LixeI7y+TwA733ve+np6aG7u1uyShPE3r17SafT\n/Mu//MsxnwsGgyxdurTYBKlUEiyJiti1axdz587lvvvuK37MdV1UVaWvr4/f/e5343h0Qs7PxLd5\n8+bi/2/cuJGPf/zjtLa2cttttw37urlz57J169ZittBftInx1dvbSyqVAuC5555j+vTp6LrOCy+8\ngG3bqKpKPp9HVVXWrl3Lhg0bAGnSUav8Lne9vb3s2rWLxYsX89prrxUzuv6i+/3vfz8vv/wyAwMD\nUhZbQw4ePFhsopJKpfjwhz/M+vXrOXDgAOCVNgNkMhmi0ag0QaphuVyOjRs30t7eDnh7QL///e+z\nffv2YjMH/2aUZVns2rWreO79j5+M9vWvf/3rlT90Mdm9/PLLvPTSS8yaNYt8Ps+GDRtYu3YtL7zw\nAoqiMHv27OICYN68efz0pz9l6dKlJBIJHMeRBUCVyfmZPF5//XX+9m//lt/+9rds374d13W55ppr\naGtrY/r06fz0pz/l/PPPJx6Pk81m0TSNSCTCz372Mz7wgQ/IAm2c2bbN9773Pf7t3/6N559/nkWL\nFrFgwQI+8IEP0N7ezrZt24hGozQ3NxfP1f79+zl06BBtbW1EIpFxfgRiqIMHD/LDH/6QZ555hpaW\nFpqbm1m0aBHTp09n8+bNuK7L3Llzi+eyp6eHgwcPEg6HpdFDDXjqqaf4zGc+w/bt2/nNb37DZZdd\nRltbGxdffDFPPfUUR44c4eyzzy6ev3g8zvr162lqamLWrFnjfPTC5+8fe+aZZ/irv/orDhw4wPr1\n65k1axaXXHIJLS0tJJNJbrvtNq677joURcG2bYLBIFu2bOFXv/oVV155ZclrHQmWRFny+Tzf/va3\nefDBB9m/fz8vvfQSiUSCD37wgzQ1NZFKpXj00Ue56KKLME0T27YxDIODBw/y8ssvs2rVKlmIV5Gc\nn8nnvvvuo66uju9+97vYts33v/99LrnkEiKRCMlkkn379vHYY4+xZs2aYg12IpFgx44dzJ07l1gs\nNs6P4NT2u9/9ji1btnDzzTezadMmXn31VQBmzJhBXV0dr776Kl1dXcyZMwfLsgAvW7Fx40bOOOMM\nafJQQ/r7+7nxxhtZuHAhwWCw2FVr+fLlNDc3s2PHDvbu3UsymSSZTAJgGAaPPPIIgUCAefPmlbVP\nQlRWT08Pt99+O3/5l3/Jxz72Me6//346OjqYO3cuoVCIqVOn8vOf/5wFCxYwZcoUADRNY9++fWzZ\nsoULLrhgnB+B8PnrlHXr1rFy5Uo+//nP4zgOd955JxdffDHBYJA5c+bw8MMPs3//fs4555xiALxs\n2TIeeeQRLr74YnRdL2nNI8GSKItt2zzyyCN885vf5NJLL6Wjo4N169Zx+eWXo2ka4XCYV155hYMH\nDxZb4CqKQjabpbm5We7MVJmcn8nhwQcf5MiRI8XudgsWLGDOnDnMnDmT3bt38+tf/5q1a9fiOA5z\n5szhvvvuo7W1lTfffBPHcWhtbeXCCy+UQGmcvPrqq+RyOWKxGA8++CCKorB69WrmzZvHgQMH2Lp1\nK6effjrJZJKBgQF27dpFfX09vb29hEIhZsyYwdlnn820adPG+6EI4PDhw4TDYfbv389DDz3EN77x\nDZYuXcrAwACbN28mHo/T1NREKBQqbiqfN28eXV1dxONxkskk5557LsFgcLwfyimnp6eH++67j+bm\nZurr6/n1r3/NjBkzmD17NvPmzeOhhx6ioaGBlpYWmpqa2LNnDzt27GD27Nk8/PDDLFy4kKVLl0qg\nVCMOHTrEXXfdRWdnJ1OnTi3uT1qyZAmnn346Gzdu5PDhwyxZsgRFUVi0aBG33HILy5Yt44EHHiAW\ni9HY2MjatWsxDEMyS6JyHnjgAR5++GEGBgZobW3l7rvv5o//+I8JBALMnDmTZ599lp07d3LOOedg\nWRaJRIL//u//5vDhw2zZsoV58+Yxa9YsWYhXiZyfyePNN9/k05/+NP39/dx///3U19fjui7PPvts\ncQ7WypUr+eEPf8gZZ5xBa2srkUiEZ599lu9973vU19fz7ne/G8MwAKSkcoz19fVx00038a//+q/s\n3r2bl156iauvvpp//dd/5cILLyx2RXvzzTfJZDLMmzeP2bNns2HDBu68804effRRVq5cSSKRIBQK\njfOjEdu2bePrX/86jz7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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Tracez les rendements du portefeuille ainsi que l'actif en lui-même\n", + "portfolio.plot(alpha=0.9,label='AAPL avec Hedge')\n", + "asset_ret2017.plot(alpha=0.5);\n", + "benchmark_ret2017.plot(alpha=0.5)\n", + "plt.ylabel(\"Rendement quotidien\")\n", + "plt.legend();" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Quels sont les effets réels ? En général, on sacrifie les rendements moyens pour une moindre volatilité, mais cela dépend aussi beaucoup du titre :" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.0011399935632582228" + ] + }, + "execution_count": 27, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "portfolio.mean()" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.0018808609159293456" + ] + }, + "execution_count": 28, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "asset_ret2017.mean()" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.009066375411652783" + ] + }, + "execution_count": 29, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "portfolio.std()" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.010484461271996029" + ] + }, + "execution_count": 30, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "asset_ret2017.std()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Bon travail!" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3.5", + "language": "python", + "name": "py35" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.5.9" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} \ No newline at end of file diff --git a/11-Quantopian-Avancé/03-Analyse-Portefeuille-avec-Pyfolio.ipynb b/11-Quantopian-Avancé/03-Analyse-Portefeuille-avec-Pyfolio.ipynb new file mode 100644 index 0000000..5a3a68c --- /dev/null +++ b/11-Quantopian-Avancé/03-Analyse-Portefeuille-avec-Pyfolio.ipynb @@ -0,0 +1,879 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Analyse de Portefeuille avec PyFolio" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import pyfolio as pf\n", + "import matplotlib.pyplot as plt\n", + "import empyrical" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Définir un algorithmique de benchmark pour SPY" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "def initialize(context):\n", + " context.spy = sid(8554)\n", + "\n", + " \n", + " set_max_leverage(1.01)\n", + " \n", + " schedule_function(rebalance,date_rules.every_day(),time_rules.market_open())\n", + " \n", + "def rebalance(context,data):\n", + " order_target_percent(context.spy,1)" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "100% Time: 0:00:02|##########################################################|\n" + ] + } + ], + "source": [ + "# Obtenir les rendements du benchmark\n", + "benchmark_rets = get_backtest('5ea05f494e836745cf5adb9f')" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "bm_returns = benchmark_rets.daily_performance['returns']\n", + "bm_positions = benchmark_rets.pyfolio_positions\n", + "bm_transactions = benchmark_rets.pyfolio_transactions" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Utiliser l'algorithme de la vidéo 'Effet de Levier'" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "100% Time: 0:00:00|##########################################################|\n" + ] + } + ], + "source": [ + "# Utiliser le même algorithme que la vidéo 'Effet de Levier'\n", + "bt = get_backtest('5ea0559950e04245b1a90ff4')" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "bt_returns = bt.daily_performance['returns']\n", + "bt_positions = bt.pyfolio_positions\n", + "bt_transactions = bt.pyfolio_transactions" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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UrZzdomtzkCVt5jUajUaRTEiBH9Lzy3kceG2yEYfWMqyGcxETjKYFPEt54zVq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6sFzC7m0JFQPZuXAXOh7t/RjZlFM5nx2qyH+hIoVTRcnFlDIqawhdrFmRZQg3h7E54YdMOUFdCi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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "bt_returns.plot()" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.14140644478845052" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "empyrical.beta(bt_returns,bm_returns)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Graphiques PyFolio" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [], + "source": [ + "benchmark_rets = bm_returns" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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zV7IsaxkVtgo+qv0IX8DHRTkXjfq8kSGRfPO8b/I/O/6H7v5uXF4XZS1lFKcW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fiB2ukdHR309PTg4uIy6r/BuTBwsXuhZeiuqqoCUDLhD76gHTxaNpLBF9+zo2azMHbh2HZyFJYk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\nBeQiIiIiIiIiLqCAXERERERERMQF/j9EcqoN3B4lkAAAAABJRU5ErkJggg==\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Rendements cumulés\n", + "plt.subplot(2,1,1)\n", + "pf.plotting.plot_rolling_returns(bt_returns, benchmark_rets)\n", + "\n", + "# Rendements non cumulés, quotidiens\n", + "plt.subplot(2,1,2)\n", + "pf.plotting.plot_returns(bt_returns)\n", + "plt.tight_layout()" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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q1XrqqadUqVIlM0O1Kz09XUahgV5u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\ngg==\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig = plt.figure(1)\n", + "plt.subplot(1,3,1)\n", + "pf.plot_annual_returns(bt_returns)\n", + "plt.subplot(1,3,2)\n", + "pf.plot_monthly_returns_dist(bt_returns)\n", + "plt.subplot(1,3,3)\n", + "pf.plot_monthly_returns_heatmap(bt_returns)\n", + "plt.tight_layout()\n", + "fig.set_size_inches(15,5)" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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gsAQPAABQWIIHAAAoLMEDAAAUluABAAAKS/AAAACFJXgAAIDCEjwAAEBhCR4AAKCwBA8A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\nfPHFWb9+fRLvHQ5Ugoc25+i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Rqvf59dn+wsAU2xWeerXnWGmNjpXWtNifFB0qd1SIDKNh/IJhSI3tTAcKKlXU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\nsWMHkZGRhISEcOHCBY4ePcovf/lL5s+fz4QJE/Dz8+PixYu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+AUY7L8ex+WQESAAAAGhRiovtM0i2c47KG3Sjtf3jN1LSbw3XL9jLzZbi/23d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\n5z//YezYsURGRtr76cgNqPpe+Nvf/sadd97JsmXLOHnypPWCKCQkhLV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UTRxmI2TBV1WqFkWTv7lSpOFzIiIiIiJ9U1FpHUOTXEzKCI/v0hC66DpUF56n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\nMH78eGxsb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FY2tJZZDkGMOQ4aXtPc5eCPYHaz5clUHSbBOIAJoP8JVYjNYfBE45T35IBCMy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twYu67XY9RVHsmMEcUVw6aU1RJ8mZOfRr/QyKfGBQRACWWic7teSOonzOwkxR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\nKeMDp2tSvc2myZk14d5O54Z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4K5+DCCxT5NhoQU0jK7K2532U3ayqNwgeL45jJDkCAOjT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OxMXvJBkWqliC5n0wsWr6lMpprEA5EgjSoRn+6exuVFddMqXqZBg8btKRJVimj6HC1vG7tShGTK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\neTLz5s2juLiYt956i5tvvtnbhr1Hjx707t2bsrIySktLAVi7d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Top 10 long positions of all timemax
AMZN-1684150.99%
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Top 10 short positions of all timemax
IBM-3766-52.04%
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Top 10 positions of all timemax
IBM-376652.04%
AMZN-1684150.99%
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IGoE/HIAECRa9GTpd9Pu0zluPw3XHUO9rxLW5ozuMeIUjYZS6K3GysRQNrdv4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zz++OOMHz+e8vJyAFJTU+nXrx8DBw7k888/v5ZNcN2tXr2asLAwfvrpJwDi4uLo3bt3lXWysrKw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\nRGo1BUUiIiIiIlKr/R/pd5dxMQB79gAAAABJRU5ErkJggg==\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "pos_percent = pf.pos.get_percent_alloc(bt_positions)\n", + "pf.plotting.show_and_plot_top_positions(bt_returns, pos_percent);" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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dvHhRq1evls1mU+vWrTV79mzl5ORo6tSpunz5ssLDw7Vq1Srt2rVL8fHxmj9/vry9vdWo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\nCAhwtrDY7XZn60v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7DqRcdZu8gkK31FKZvj2W5ukSTM9ut2vH/hSdTLvonLd9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\nYII=\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "pf.plot_turnover(bt_returns, bt_transactions, bt_positions);" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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XXHONHnnkEfXt21fBwcHO9rvuusunhTU3MhMAAAAAb7gNTVVVVbJYLHr//ffr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\nNAAKhYIlS5Zw9OhRAF5//XUaGhr48ssv+f3vf4+1tbXpfGI908D13nv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Summary statsAll tradesShort tradesLong trades
Total number of round_trips250.00109.00141.00
Percent profitable0.740.450.97
Winning round_trips186.0049.00137.00
Losing round_trips64.0060.004.00
Even round_trips0.000.000.00
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PnL statsAll tradesShort tradesLong trades
Total profit$1980690.67$526009.56$1454681.10
Gross profit$2152761.28$695137.94$1457623.34
Gross loss$-172070.61$-169128.38$-2942.23
Profit factor$12.51$4.11$495.41
Avg. trade net profit$7922.76$4825.78$10316.89
Avg. winning trade$11573.99$14186.49$10639.59
Avg. losing trade$-2688.60$-2818.81$-735.56
Ratio Avg. Win:Avg. Loss$4.30$5.03$14.46
Largest winning trade$999650.80$590207.58$999650.80
Largest losing trade$-18940.73$-18940.73$-1177.78
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Duration statsAll tradesShort tradesLong trades
Avg duration179 days 00:14:59.524000168 days 03:03:18.165137187 days 10:09:59.156028
Median duration181 days 01:00:00167 days 01:00:00189 days 01:00:00
Longest duration364 days 10:28:01317 days 00:00:00364 days 10:28:01
Shortest duration0 days 13:31:590 days 13:31:591 days 00:00:00
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Return statsAll tradesShort tradesLong trades
Avg returns all round_trips0.07%0.15%0.00%
Avg returns winning0.10%0.19%0.02%
Avg returns losing-0.03%-0.03%-0.03%
Median returns all round_trips0.01%0.02%0.00%
Median returns winning0.02%0.03%0.01%
Median returns losing-0.01%-0.02%-0.01%
Largest winning trade8.37%8.37%0.10%
Largest losing trade-0.19%-0.13%-0.19%
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Symbol statsAMZN-16841IBM-3766
Avg returns all round_trips0.00%0.15%
Avg returns winning0.02%0.19%
Avg returns losing-0.03%-0.03%
Median returns all round_trips0.00%0.02%
Median returns winning0.01%0.03%
Median returns losing-0.01%-0.02%
Largest winning trade0.10%8.37%
Largest losing trade-0.19%-0.13%
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Profitability (PnL / PnL total) per name
AMZN-1684173.44%
IBM-376626.56%
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yyy5104466qg8++yz+Z//+Z+8/fbb6d+/f/r165eTTz45s2fPzu9///uMGjUq\n48aNq7esm266KZ06dUqStG/fPu+8804eeeSRfOMb30iSbL311pk3b17efffd9O3bNyeeeGK9+8+e\nPTsLFy5Mt27dkiQXXHDBR+41Z+2w5ZZb5uijj84f//jHJMnVV1+d73//++nXr1+uuOKKJMn8+fNz\n7LHH5ogjjsiPfvSjLFy4sN4yzjrrrPTt2zfJP7erZ555Jt27d0/r1q3TokWL7LTTTnnyySfTqVOn\nXHzxxWndunW9ZYwbNy4HHnhgkuS4446r+3SWdcNvf/vb9O/fP4cffnjuuuuuuun33ntvfvSjH+Wg\ngw7KCy+8UO8+O++8c92e5w033DALFy5MbW1txo8fn7333jtJsu++++bhhx9Okpxzzjnp2bPnCh9/\n6dKlueaaa9KvX7/VsXo0oLlz52bixIk55ZRTcscdd9RN79+/f0aMGJEBAwbke9/7XqZNm5bx48fn\nRz/6UQYMGJDnn3++bt4tt9wyV199dSqVSpo1a5ZWrVqluro6jz76aL75zW8mqb/tnHTSSXV/B1fk\n4osvrtsTydrt5ptvzvDhw5MkCxYsyD777JMk6du3b0aOHJl+/frlsMMOy4IFC+rd79hjj83AgQOT\nJO3atcs777yTN998MxtttFE6d+6cSqWSvfbaK48++mhatGiRyy+/vO791gdNnjw51dXV/s6thVb2\n+vTKK68kSa666qpcdNFFWbJkSYYMGZLvfe97+d3vfrfCoyXKvi9f3siRI+u20Y8irFnvvfbaa/ny\nl7/8oenbbrttXn/99fz2t7/N0UcfnTFjxqRTp0556623cvDBB2fAgAF1bz6XWRYzM2bMyMMPP5w+\nffpk1qxZad++fd08HTp0yKxZs9KqVasPPeZbb72V9u3b5+yzz84RRxyRK6+8soHXlsbQrVu3vPrq\nq5k6dWruvvvuXHPNNRkzZkzuvvvuTJs2LSNHjkzv3r1z1VVXZbfddqt7M7rMBhtsUHeo7dVXX50D\nDzxwhdvVzJkz06JFi1QqlQ+NYdasWbn99ttz5JFH5swzz8zixYtX+3rT8Iqi+NC0J554Im+//XZG\njx6dK664IpdccklqamqSJFVVVbn00kszZMiQ/OEPf6h3v0qlkg022CBJct1112WvvfZKVVVVFi5c\nWHeaQMeOHTNz5swkWeFr1jJ/+ctf0rt37zRv3rxB1pPVZ+zYsdlnn33Su3fvvPHGG5kxY0bdz9q1\na5dRo0anW62sAAAgAElEQVTlwAMPzJ/+9Kck7x9y+1//9V/Zbrvt6i1n2elLDz74YNq1a5fOnTtn\n5syZadeuXZL3t51Zs2YlWfm2M3HixGy66abp0KFDg64njWf5v0HL/n/JkiXZZpttMmbMmGy++eZ5\n5JFH6t2nefPmadr0/TNUl22DH/w7t/HGG2fGjBmpqqpa6WvNqFGjfMi3llrZ69MHPfDAA1m8eHH+\n/Oc/p0ePHnV/q5ZX9n35MosWLcpDDz200g8IE2ENSZLa2toVTmvSpEmef/75ur00P/vZzz50XvUH\nzZ49Oz/+8Y9z1llnZcMNN/zQG+Hi/58buSJFUeSNN97IkCFDMnLkyNx00011n9Cx9lqyZEmqqqry\n7LPP5o033siAAQPSv3//LFy4MFOnTs3zzz+fr371q0mSgQMHZt999/3QMmprazN06NDstttu2XXX\nXVe4Xa1MTU1NevbsmSuuuCK1tbW5/vrrG24FWWMmT55ct/0MGDAg/+f//J889dRTefbZZzNgwIAc\nffTRSVL3ZmTZkTjdu3fP5MmTV7jMv/71r7npppty+umnJ3k/xpdZ2evV8m644YYcfPDBpdaNNeOO\nO+7IAQcckKqqqvTt2zdjx46t+9nXv/71JMmOO+6Y119/Pcn7HwwuC54Pevrpp3P++efn17/+9Yd+\ntqrbzvXXX2/bWU/06tUrSdK5c+fMnz9/hfOcf/75adGiRQ455JBP9P5pmcWLF+fJJ5/Mzjvv3DCD\nZo1a2evTB7366qt121SfPn3SpEmTFc5X5n35Mn/9619X6foBLl7Gem/rrbfONddc86Hpr7zySrp2\n7ZqqqqoVhveKVFdX54c//GFOOumk7Lbbbkne/wOy7FP75P03vBtvvHHd7eX/MXfo0CHbbLNN2rZt\nm+T9P0KvvPJKttlmm0+1bnw2PPfcc9luu+3SvHnz7LXXXvnlL39Z7+eXX375x25jw4YNS9euXesO\nl+zcuXPuu+++up9Pnz79Iw/TTZJNNtmk7kOh3XffPePHj/+Ua0Nj2mqrrTJq1Kh606644ooccsgh\nOeaYYz40/4r2HC3vgQceyGWXXZaRI0fWfbLfsmXL1NTUpHnz5pk+fXo6duy40jEtXLgwM2bMyGab\nbfZpVok1aNq0aXn22WfrDtV977330rZt27rDG5e9Di3/RvOjLnL44osv5vTTT89ll12Wzp07J/nn\n37s2bdqs0raTvH+xxTPOOKP0urHmzZ8/Py1btkzTpk3rdkYs/zqzZMmSevN/VPgsc+GFF2bOnDn5\nj//4jySpOwpimVXZph5//PGP3QHCZ9PKXp+W366WP+Lu4/7GlX1fvsy4ceNy+OGHf+w62GPNem/3\n3XfPW2+9lb/97W9106644orstNNOadu2bbp3755HH300yfsv+o888kgqlUrdoZbLO++883LUUUdl\njz32qLf8e+65J0ny/PPPp3PnzvUON1n+k7Mtttgi7777bubNm5fa2tq88MIL6dq1a4OvM6vX8s/p\nlClTcsUVV+Soo47KV77ylTz22GN57733UhRFzjnnnNTU1GSHHXao28auvfba3HLLLfWWd9ttt6V5\n8+Y5/vjj66b16NEjzz33XKqrq/Puu+/mqaeeqvvkdkXj2HXXXfPYY48lSSZNmmS7Wkut6MiEHj16\nZNy4cSmKIosWLcqvfvWrup9NmDAhSfLUU09l6623rne/6urqnH/++bn00kvzuc99rm76brvtVvea\ndc8996R37971Hv+DY3jxxRdtT2uJO+64I0cccURuueWW3HLLLbn77rszd+7cvPnmm0n+ub08/fTT\nH9pelldbW5uf//zn+f3vf59NN920bvoee+xRd1X4ZacHLLOibWfGjBlp3br1R+4R57PtrLPOyv/9\nv/83RVHktddeyxe+8IW0adOm7oiZJ554YpWX9cQTT+TZZ5+ti+ok2XzzzfPuu+/m7bffzpIlS3Lf\nfffVe3+1IhMnTqy7Tg1rl5W9Pn3uc5+r+5Bl2bcHdOnSJRMnTkzy/ikpS5cu/dAyy74vX2ZVtyuv\nZKz3KpVKRo4cmTPOOCMXXnhhamtrs9NOO9V9gn7CCSdk2LBhufrqq7PZZpvlhBNOSFEUOfXUU9Ox\nY8e6C0K99957ue222zJlypRcd911qVQq+fa3v51DDz002223Xb73ve+lSZMmOfPMM5P882tqZs+e\nnR/+8IfZcccd87Of/SzDhg3LoEGDsnjx4vTu3Ttf+tKXGu13w6fz+uuvZ8CAAVmyZEmaNGmS4cOH\n1+3RGThwYI444og0bdo0++67b5o3b56BAwfm5JNPTv/+/dOmTZtccMEF9ZZ39dVXp6amJv3790+l\nUsk222yTM844Iz/96U/zv/7X/0pVVVVOOOGEtGnTJvfff38uv/zyTJ48OZMmTcro0aMzcuTIDB48\nOKeddlouuuiitG/fPoMGDWqMXw0lreiT9J49e2aXXXbJYYcdliT1PlUviiI/+tGPMn369IwYMaLe\n/e6666688847GTJkSN0eyhEjRuSEE07IKaeckmuvvTabbbZZvvOd76S2tjYDBw5MdXV1pk+fngED\nBmTQoEHZZZddMnPmTOfHriXuuuuuD20HBx10UO68885UKpW8/fbb+cEPfpDq6upceOGFdYeDf9Aj\njzySqVOn5owzzqjbdoYOHZp+/fpl6NChOeKII9K2bducf/75Sd7/GqRp06bVvTYedthh+Zd/+Rfb\nzlpu8ODBOeWUUzJq1Kj06dMnW2yxRTbaaKP84Q9/yIABA+odnvtxexavueaaTJs2LQMGDEhRFGnX\nrl0uvPDCnHnmmTnppJOSJAceeGA+//nP130F0ttvv52mTZvmnnvuyUUXXZS2bdtm5syZ6dKly5r5\nBdCgPur16a677sp3v/vdnHXWWenatWu23HLLJMlee+2VG264IUcccUR23nnnD301V0O9L0/e/yB6\nZedgL1MpPu7EPAAA1mn9+/fPmWee6dQjYK3wzjvvZPz48enbt2+mT5+eo446qt63YjQGe6wBANZz\nq3KhMYDPijZt2mTs2LEZOXJkiqLIaaed1thDsscaAAAAynDxMgAAAChBWAMAAEAJwhoAAABKENYA\nAABQgrAGAACAEoQ1AAAAlCCsAQAAoARhDQAAACUIawAAAChBWAMAAEAJwhoAAABKENYAAABQgrAG\nAACAEoQ1AAAAlCCsAQAAoARhDQAAACUIawAAAChBWAMAAEAJwhoAAABKENYAAABQgrAGAACAEoQ1\nAAAAlCCsAQAAoARhDQAAACUIawAAAChBWAMAAEAJwhoAAABKENYAAABQgrAGAACAEoQ1AAAAlCCs\nAQAAoARhDQAAACUIawAAACihaWMPAABYdyxatCj/8i//kuOPPz7PPfdcnnrqqbRq1SqVSiVHH310\n+vTp09hDBIAGJ6wBgAZzySWXpF27dkmSBQsW5Jxzzkm3bt0aeVQAsHo5FBwAaBCvvfZaXnvttfTp\n0ydFUaS6urqxhwQAa4SwBgAaxPDhw3PqqafW3V64cGEuvvji9O/fPyeffHLmzZvXiKMDgNVHWAMA\npd1yyy3p2bNnNt9887pphx12WH72s59l9OjR2WqrrXLhhRc24ggBYPVxjvUqmjBhQmMPAYD1SK9e\nvRp7CJ/I/fffn6lTp2bcuHGZNm1aWrRokV/+8pf5/Oc/nyT55je/mbPOOutjl+PvLQBrUkP9vRXW\nn8Da9ibns+o///M/kyRDhgxZo487YcIEz+F6wPO89vokrw3r+vO8Nsblb3/727r/v+iii7LFFltk\n9OjR+cIXvpBNN900jz32WLbddttVWta68tyua9up9fnsWpfWJVm31mddWpdk3VyfhiKsAYDVol+/\nfjnhhBPSqlWrtGrVKv/xH//R2EMCgNVCWAMADer444+v+/+vf/3rjTgSAFgzXLwMAAAAShDWAAAA\nUIKwBgAAgBKcYw0AAKxViqLIvHnzGnsYH6u6ujpz5879RPdp27ZtKpXKahoRq4uwBgAA1irz5s3L\nbfc9n1atWjf2UFbqzanVmVXzxirPv2DBu/nXvbbLhhtuuBpHxeogrAEAgLVOq1at07pN28Yexkq1\nbNXmMz9GGoZzrAEAAKAEYQ0AAAAlCGsAAAAoQVgDAABACcIaAAAAShDWAAAAUIKwBgAAgBKENQAA\nAJQgrAEAAKAEYQ0AAAAlCGsAAAAoQVgDAABACcIa+ExburS2sYcAAAAr1bSxBwCwvCVLa/PSG3Py\n5Esz8tRLM/LK1HfSolmTtGu7Qdq33SDtPtcindu3yr47dcmWnT/X2MMFAABhDXw2vDl9fkaPfSFP\nvzwjCxctTZI0qarki1tulCVLivzP/Pfy/OTZKYr357/pvley6/ab5t/3+WK27dKuEUcOAMD6TlgD\njWrxktrc8N9/z3V/fTlLltZms41bZ9+vdUrPL3XK9lt3SKsNmtXNu3Rpbd6pXpSX3piTG8f9PY9M\n/EcemfiPdN9m43x3323TY9uOjbgmAACsr4Q10Gienzw7F13/TN6cPj/t226QHx3cPbvtsOlHzt+k\nSVU6bNgyX+/eMrvtsGmefWVWbrj373n67zPz7CuzcvBe22T7TYo1uAYAACCsgUawZGltRt76XO54\naHKS5Ftf/0IGHrBdWrds9jH3/KdKpZIeX+yYHl/smJenzMlvrp6Qm+57JZO22CDbd1+Sli28vAEA\nsGa4KjiwRi1eUpsRo5/IHQ9Nzpad22T48XvkuEN6fKKo/qBtu7TLrwfvme7bbJyXpr6XUy96MLPe\nWdiAowYAgI8mrIE1ZvGS2gwf9XjdedG/+UmfbNe1Q4Msu02r5vnlMbul1zat89rbc/PT392fl6fM\naZBlAwDAyghrYI1YvGRpzr1yfB6bNC09vrhxTj96l2zQwIdrN21SlQN32ihH/+v2mTN/UU77w0N5\n5c13GvQxAADgg9absH755ZfzzW9+M1dddVW96Q888EC6devWSKOC9UPN4qX5jysez+PPT0/PbTvm\n9KN3zQbNV8850JVKJQf12TqnDNgpNYuX5ld/eiz/M++91fJYAACQrCcXL1u4cGF+9atfZbfddqs3\nvaamJpdddlk6derUSCODdd/S2iLnXvl4nnhher7arVN+fuTOad6syWp/3N27b5aBB2yXK+58Pr/6\nr8dy7qA90mINPC4Aa6+iKDJv3rzGHsYnVl1dnblz537kz9u2bZtKpbIGRwTrn/UirFu0aJHLL788\nl112Wb3pl156afr165cRI0Y00shg3Xf1PS++H9VfWnNRvczBe2+TKdPn57+feDMXXvtUfnZEL28s\nAPhI8+bNy233PZ9WrVo39lA+kTenVmdWzRsr/NmCBe/mX/faLhtuuOEaHhWsX9aLsK6qqkrz5s3r\nTZs8eXJeeumlDB48OMOHD2+kkcG67YkXpue6v76czu1bZWj/r63RqE7ePyz8+EN75O2Z1fnbU2+l\nyyafy2Hf+NIaHQMAa5dWrVqndZu2jT2MT6RlqzZr3ZhhXbNehPWKnHfeefnFL37xie4zYcKE1TSa\n9UtNTU2Sxvl9eg7XnLnvLsmld89Ik6rk33Zuk5eef3aNPfYHn+cDv7pB/jGzScaMfTE11TOz3ZYt\n19hYWHWf9LXBv2cA4LNivQzr6dOnZ/LkyRk6dGiKosjMmTPTv3//jB49eqX369Wr1xoa4brtgQce\nSLLmf58TJkzwHK4hS5bWZtjFD2bhotocd0j3fOvrXdfYY3/U89xlq7k5+fcP5Pbx72S/Pb+aTu1b\nrbExsWo+yWvDuv7v2YcGALB2WW+uCr68zp075y9/+Uv+/Oc/59prr03Hjh0/NqqBVXflnc/nxTfm\nZM+em2f/3b7Q2MNJknTdbMP86ODuWbhoaS6+8ZkURdHYQ4J10qJFi/KNb3wjt9xyS6ZNm5b+/fun\nX79+OfHEE7N48eLGHh4ArBbrRVhPmjQp/fv3z80335xRo0ZlwIAB9a746GJG0HAemfh2brn/1Wze\nsU0G/XuPz9S/r32+tmV6btsxT744I/c9ObWxhwPrpEsuuSTt2rVLkvzud79L//79M2bMmGy22Wa5\n8cYbG3l0ALB6rBdh/ZWvfCWjR4/Ovffem3vuuSejRo1K27b/vMDDvffe24ijg3XH3OpF+f11T6d5\nsyY5deBOabVBs8YeUj2VSiWDDt0xGzRvkj/eMjHvzF/U2EOCdcprr72W1157LX369ElRFHn88cez\n9957J0n23XffPPzww408QgBYPdbLc6yB1eOKO57P/AWLc/S/bp8vbPrZvDpp5/at0v9bX84fb30u\nf7xlYob2/1pjDwnWGcOHD88ZZ5yRm2++OUmycOHCNGv2/gdsHTt2zMyZMxtzeDSgtfX7npe3ou9+\nnjt3boo4VQj45IQ10CAmvTY7f318SrbabMN8e481d7GyT+Nf9tgqf3vqrfzt6bfS56tbZOevbNLY\nQ4K13i233JKePXtm8803r5u2/KkgRVGs8qkh69LF29aldUn+uT7V1dV5ZNKMbNBy7b4Q5FOvPVjv\n9jv/MystW7XNRu3bN9KIPr03pqz4e6wXLqjO083npE2bNmt4ROV83L+d6urqvDm1Oi1bffbX66Oe\nmxVZG56vde11raEIa6C0xUtqc8mNz6RSSY779+5p0uSzfZZJk6pKTjhsxwz5zX255MZn8pWtOqR1\ny8/WYeuwtrn//vszderUjBs3LtOnT0+zZs3SsmXL1NTUpHnz5pk+fXo6duy4SstaV674vq5dvX75\n9Zk7d25m1byxVn938htT3sjnu3y+3rQZ099KVVWzbNyxUyON6tNZ0bos8271vOy44+ez4YYbruFR\nfXqr8m9nbdkGV/bcrMhn/flaF1/XGoqwBkq79W+vZsq0+dl/ty/kS59fOz7l//wmbfPdfbfN1X95\nKVfe+XyO+/cejT2k/8fencdHXR/6/n/PZGayE8hCVhIIO2EPWwQEBFxrrdpStMSeXu/11FZ79Nzq\nbT229dFr1erpr8c+ah/WqtdTtcfaoh5bERQRCFvAhDXsS/aF7CH7MvP7A6GiIElI5jPfmdfz8TiP\ng6MZ3p/5zkzzns9nPh/A0n7961+f//Nvf/tbpaSkKD8/X2vXrtVXv/pVrVu3TgsXLjSYEACAwePb\n00oAfF5VXav+64Mjiopw6ds3TjQdp0++vnScRsRHaN2OQhVXWvu7goAv+sEPfqB33nlHq1atUlNT\nk2699VbTkQAAGBTMWAO4Ii+8vV+dXT36/tenKSLMZTpOnzgddv3TTRn6vy/n6o9rDunR/zHXdCTA\nL9x3333n//zyyy8bTAIAgHcwYw2g33YcqNDOg5WaMjpWSzJTTMfpl9mT4jVxZLRyCyp1uLDOdBwA\nAABYEMUaQL90dbv10rsH5Aiy6d7bp/Z6t19fY7PZ9O2bJkmSXnnvoDwejlkBAABA31CsAfTL+p1F\nqqxt1fVZIzUiPtJ0nCuSkR6j2ZPiVXCyVnmHT5uOAwAAAIuhWAPos46uHr3x4REFu4K0Ytk403EG\nxF03TpLNJv3newfldjNrDQAAgN6jWAPos/e2nFJdU4e+ujBdwyJDTMcZECMTh2jxzBQVVjRp8+5S\n03EAAABgIRRrAH3S2t6lv244qvBQp25bPMZ0nAF153UT5Aiy6bW1h9XV7TYdBwAAABZBsQbQJ29v\nPKEzrV26fckYyx2vdTkJMeG64apRqqpr1drthabjAAAAwCIo1gB6rbG5Q/+9+biGRgTr5gXppuMM\nihVLxynEFaS/bjjGrDUAAAB6hWINoNf+uuGY2jp6tGLZOIUEO0zHGRRDI4N13byRqmtq16Z8vmsN\nAACAy6NYA+iVmoY2vbf1lOKGher6rDTTcQbVV69OV5Ddprc2HmeHcAAAAFwWxRpAr7y5/qi6ut26\n89rxcjqCTMcZVMOHhenqGckqqTqjTw5XmY4DAAAAH0exBnBZ9U3tWr+rWAkxYVqSOcJ0HK+4bclY\nSdJbHx83nAQAAAC+jmIN4LL+tuWkurrdunXxGAUFBcbbxsjEIZo5YbgKTtbqcFGd6TgAAADwYYHx\nGzKAfmtt79KabYWKinBp6exU03G86vYlZ8/pZtYaAAAAX4ZiDeBLfZBbpJa2Lt28IF3BTv/+bvXn\nTRkdqzEjhmrHgQqVVTebjgMAAAAfRbEGcEld3W69s+mEQlxBunH+KNNxvM5ms+n2JWPk8Uhvb2TW\nGgAAABdHsQZwSZt3l6q2sV3XzktTZJjLdBwjsqYkKSEmTBs+KVH9mXbTcQAAAOCDKNYALsrt9mj1\nx8cVZLfplqtHm45jTJDdplsXj1FXt1t/33LKdBwAAAD4IIo1gIv65HCVSqrO6OoZyRo+LMx0HKOW\nzk5VRKhTH+woUle323QcAAAA+BiKNYCLWr3hmKR/nOccyIKdQVo2J1UNzR3avr/cdBwAAAD4GIo1\ngC84dKpOB0/VadbEeI1MHGI6jk+4PmukJGnNtkKjOQAAAOB7KNYAvuC/N5+QJN326TnOkJLjIjRt\nbKwKTtaquLLJdBwAAAD4EIo1gAvUNrZp+4EKjUoaosnpMabj+JQbrjp75Nj72wuN5gAAAIBvoVgD\nuMD72wvldnt00/xRstlspuP4lLkZCYoeEqwNn5SovaPbdBwAAAD4CIo1gPO6ut1at6NI4aFOLZqR\nYjqOz3EE2bV8bppa27u1aXeZ6TgAAADwERRrAOdt21euhjMdWj4nVSHBDtNxfNJ1c0fKbpPe335K\nHo/HdBwAAAD4AIo1gPPe23pKknTDVSPNBvFhccNCNXtSgk6UNupYSYPpOAAAAPABFGsAkqSTZY06\nVFinzAnDlRQbYTqOT7vx003M1mw7ZTgJAAAAfAHFGoCkf8xW3zR/lOEkvm/6uDglxIQpZ3eZmls7\nTccBAACAYRRrAGpu7dTG/FIlxIRp5oR403F8nt1u0/XzRqqz262PPikxHQcAAACGUawBaP2uYnV2\n9eiGrFEKsnPEVm8sm5OqILtNH+0qNh0FAAAAhlGsgQDndnu0ZmuhXA67ls9NNR3HMqIigjVrYrxO\nlTfpZFmj6TgAAAAwKGDO0zl69Ki+//3v65/+6Z/0rW99SxUVFXrkkUfU3d0tp9OpZ555RjExMaZj\nAl6Xf+S0KmpbtHxOqiLDXKbjWMrS2anKLajUR58UKz15iuk4gFHt7e360Y9+pNraWnV2duree+/V\nli1btHv3boWFhclms+nuu+/WokWLTEcFAGDABUSxbmtr0+OPP66srKzztz377LNauXKlrrvuOr3+\n+ut6+eWX9dBDDxlMCZixbkehpH/sdI3emzUxXkPCXdqYV6p/uilDTgeLgBC4NmzYoClTpujuu+9W\neXm5vvOd7ygzM1O/+MUvNGHCBNPxAAAYVAHxW2BwcLBefPFFDR8+/Pxtjz32mK699lpJUnR0tBob\nWcqJwFPf1K5dB6uUnhylMSOGmo5jOU6HXYtmpqippVN5h6tMxwGMuvHGG3X33XdLksrLy5WYmKiW\nlhbDqQAA8I6AKNZ2u10u14VLXENCQmSz2eR2u/WnP/1JX/nKVwylA8zZ8EmJetweXTuH71b319JZ\nIySdfSwBSCtXrtTDDz+sRx55RC0tLXruueeUnZ2thx9+WE1NTabjAQAwKAJiKfiluN1uPfTQQ5o3\nb57mzZtnOg7gVR6PRx/kFsn16awr+ic9OUojE4do18FKNTZ3KCoi2HQkwKg33nhDhw8f1g9/+EP9\n4Ac/0NixY5WWlqbnn39ev/nNb/Too49e9j7y8vK8kNQ7/Gks0j/G09zcrJLSZoWGRRhOdGWKiosu\n+Oe6mirZ7U61tLUZStR/nx/LOW2tzdrjqldEhLWu1eVeO1Z6Dl7q2lyMFa6Xv72vDZSALtY//vGP\nNWrUKH3/+9/v1X/Pk2hgdHZ2SjLzeHIN/6HwdIfKa1o0dWSYjhzabzrOgPL2dR6XYFNhhUevv7tD\nc8f77v8Q+rq+vjfwevYtBQUFiomJUUJCgiZMmKCenh7NnDlT0dHRkqTly5frscce69V9ZWZmDmJS\n78nLy/ObsUgXjqexsVE1nUUKjxhiOFX/FRUXKS017YLbQoMdstudio0bfomf8k0XG8s5Lc1Nmj49\nTVFRUV5O1X+9ee1Y5Tn4ZdfmYnz9evnj+9pACdhi/e6778rlcum+++7r9c/405PIpJycHEnefzz9\n7Y3gSm3+r3xJ0sobZmjKmFjDaQaOieucPq5d6/d+oKNVHn3vTp5j/dWX9wZ/fz1b8UODXbt2qby8\nXI888ohqamrU2tqqRx99VD/5yU+UmJio3NxcjRs3znRMAAAGRUAU64KCAj311FMqLy+Xw+HQunXr\nVFdXJ5fLpezsbNlsNo0ZM0Y//elPTUcFvKK5rUtb9pYrMTZck0dzzNyVGhYZolkT4rXzYKUKK5o0\nMtG3Pz0HBsMdd9yhRx55RN/61rfU0dGhn/3sZ3K5XLr//vsVFhamsLAwPfHEE6ZjAgAwKAKiWGdk\nZOjVV181HQPwGZt3l6qzq0fL56TKZrOZjuMXrpk9QjsPVuqjXcW6+6uTTccBvC44OFi/+tWvvnD7\nVVddZSANAADeFRC7ggO40Ie5RbLbbVo6m93AB8qcSfGKDHNqY36penrcpuMAAADAiyjWQIA5Udqg\n46WNmj0xXtFDQkzH8RtOR5CunpGihjMdyj9y2nQcAAAAeFFALAUH8A8f7iyWJF07t/c7VKJ3rpk1\nQu9tPaVN+WWaPSnBdBwAPsDj8fjN+d3Nzc1qbGyUdHZHZo88hhMBgO+gWAMBpKOrRxvzShQ9JFiZ\nE6x1lIgVjB0xVIkx4cotqFB7Z7dCXLzFAv2xcfs+0xEGxPHjRaqoa9fBU3UaPcr6H2aWlDarpvPs\nebw11VUKj4iSDx+1CwBexW99QADZvr9CLe3duuGqUQoK4psgA81ms2nhjGS9uf6odhVUaeGMZNOR\nAJQzg1EAACAASURBVEtql3/srN/jilGHIiX7GZ8/a7c3QsMizo+jpeWM4TQA4Fv4zRoIIB9/UiJJ\nWjp7hOEk/uvqT8v0pt2lhpMAAADAWyjWQICobWzTnqOnNT5tmFKGR5qO47fSEoZoZOIQ5R0+rea2\nLtNxAAAA4AUUayBAbMovk9tzdoMtDK6rZySru8et7fvKTUcBAACAF1CsgQDg8Xi04ZNiOYJsWjid\n7/0OtnOP8ebdZYaTAAAAwBso1kAAOFnWqKLKM5o9KUGRYS7TcfxeQky4xqcN077j1apvajcdBwAA\nAIOMYg0EgA15ZzctYxm491w9I1luj7RlL8vBAQAA/B3FGvBz3T1ubc4vU2SYS5kT4k3HCRgLpyXL\nbpM2szs4AACA36NYA35u95HTamju0KIZyXI6eMl7y7AhIZoyJlaHi+pVVddqOg4AAAAGEb9lA37u\no0/Prr6Gs6u97uoZKZKYtQYAAPB3FGvAjzW3dmpnQaVGxEdoTMpQ03ECzlVTEuUIsrE7OAAAgJ+j\nWAN+bMvecnV1u7Ukc4RsNpvpOAEn4tPvtRdWNKm4ssl0HAAAAAwSijXgxzZ8UiKbTVo8k2Xgppw7\n03oru4MDAAD4LYo14Kcqalp0qLBOU8fEKm5YqOk4AWv2pHg5HXZt3UexBgAA8FcUa8BPbfp0wyxm\nq80KC3Fq5vjhKqo8o5KqM6bjAAAAYBA4TAcAMPA8Ho825pXK5bDrqqmJpuMEvPnTkpRbUKlt+8r1\nzeXjTccBAAQQj8ejxsZG0zH6pLm5+bKZGxsb5ZHHS4mAy6NYA37oZFmjyqqbNX9aksJCnKbjBLw5\nkxLkCDq7HJxiDQDwptbWZq3bXqfo6BjTUXqtpLRZNZ1FX/rf1FRXKTwiShERXgoFXAbFGvBDG/PP\nLgNf9Ok5yjArPNSpGePjtOtglcqrm5UUx28BAADvCQ0NV3jEENMxei00LOKyeVta+HoVfAvfsQb8\nTI/bo827yxQe6tSsicNNx8Gn5k9NkiQ2MQMAAPBDFGvAzxw8Wau6pnbNn5okpyPIdBx8am5GgoLs\nNoo1AACAH6JYA37m3G7gi2YmG06Cz4oIc2nauDidKG1UZW2L6TgAAAAYQBRrwI90dfdo695yRQ8J\nUUZ6rOk4+Jzzy8H3MmsNAADgTyjWgB/JO3xazW1dunpGsoLsNtNx8DnzJifKznJwAAAAv0OxBvzI\npnO7gc9kN3BfNCTcpaljYnWspEGn61pNxwEAAMAAoVgDfqK1vUs7CyqVHBeh0clRpuPgEtgdHAAA\nwP9QrAE/seNApTq73Vo0M0U2G8vAfdW8yYmy2yjWAAAA/oRiDfiJfywDZzdwXzY0MliTR8fqSFG9\nquvbTMcBAADAAKBYA36g4UyH9hyr1rjUoUqKjTAdB5dx1ZRESdKOAxWGkwAAAGAgUKwBP7B9f7nc\nbo8WTmfTMiuYR7GGH2pvb9cDDzyg7OxsffOb39TGjRtVWVmp7OxsrVq1Sg8++KC6urpMxwQAYFBQ\nrAE/kLPn7Pd1F0xLMpwEvRETFapxqUN14GStmlo6TccBBsSGDRs0ZcoUvfrqq/r1r3+tJ598Us8+\n+6xWrVql1157TUlJSVq9erXpmAAADAqKNWBx9U3tOnCyRhNHRit2aKjpOOilrClJcrs92llQaToK\nMCBuvPFG3X333ZKk8vJyJSYmateuXbrmmmskSUuXLtW2bdtMRgQAYNBQrAGL27qvXB6PtHA6m5ZZ\nSRbLweGnVq5cqYcfflg//vGP1dbWJqfTKUmKi4tTdXW14XQAAAwOh+kAAK7Mlr3lstmkq6Ymmo6C\nPkiOi9CI+EjtPnJa7R3dCgnm7Rj+4Y033tDhw4f1wx/+8IKj/zweT6+PAiwqLhqseF5XUlqi6up6\nvxnTuXHU1VTJbneqpc3apxt8/rpYeVyXeo5ZdUyXe81YaVx9ef23tTZrj6teERG+uxltXl6e6Qg+\nid/kAAurbWzTwVO1ykiPUUwUy8CtJmtKot5cf1R5R05r/lS+Hw9rKygoUExMjBISEjRhwgS53W6F\nhoaqs7NTLpdLVVVViouL69V9paWmDXJa7ygqLtKIlBHq7AnyizEVFRedH0dosEN2u1OxccMNp+q/\nz47nHKuO62JjOceKY/qy8ZxjlXH1Ziyf1dLcpOnT0xQVFTWIqfovLy9PmZmZpmMMmIH8kICl4ICF\nbd17dhn4gmksA7eirMmfLgffz3JwWN+uXbv08ssvS5JqamrU2tqqrKwsrV27VpK0bt06LVy40GRE\nAAAGTcAU66NHj2r58uV6/fXXJYkjQOAXtuwtl51l4JY1OiVKccNCtetgpbq63abjAFfkjjvuUG1t\nrb71rW/pu9/9rh577DH94Ac/0DvvvKNVq1apqalJt956q+mYAAAMioBYCt7W1qbHH39cWVlZ5297\n9tlnlZ2drWuvvVbPPPOMVq9erZUrVxpMCfRNdX2bDhXWaeqYWA2LDDEdB/1gs9k0b3Ki/pZzUvtP\n1GjmeN9ezgZ8meDgYP3qV7/6wu3nZrEBAPBnATFjHRwcrBdffFHDh//jl9adO3dqyZIlkjgCBNa0\ndV+ZJHYDtzqWgwMAAFhfQBRru90ul8t1wW0cAQKry9lTJrvddv7YJljTpFHRigxzKbegQm63x3Qc\nAAAA9ENAFOuL6e8RIIAvqKpr1dHiBk0dE6uoiGDTcXAFgoLsmpuRoLqmDh0trjcdBwAAAP0QEN+x\nvpiwsLA+HwHCmW0Do7OzU5KZx9NfruGWg2ckSanDuv1mTAPJao9JXOjZMzjfXr9b184YajiNOX19\nb7DadQYAAP4rYIt1VlaW1q1bp5tvvrnXR4D405ltJuXk5Ejy/uPpT+fuvbZ5o4LsNq38yjxFhrku\n/wMBxIrXecrUHr29432dOu3RzJkzA3YFTV/eG6x4nfuCDw0AALCWgCjWBQUFeuqpp1ReXi6Hw6F1\n69bp3//93/WjH/1If/7zn5WUlMQRILCM8ppmHS9tVOaE4ZRqP+FyBilzQry27itXceUZpSUOMR0J\nAAAAfRAQxTojI0OvvvrqF27nCBBY0da95ZKkBdPYDdyfzJ2coK37ypVbUEmxBgAAsJiA3bwMsKqc\nPWVyBNk0j93A/cqsifGy223aWVBpOgoAAAD6iGINWEjp6TM6Vd6kGeOHKyLUaToOBlBkmEsZo2J0\npLhedU3tpuMAAACgDyjWgIVs+XQZ+MLpLAP3R3MnJ0iSdh1k1hoAAMBKKNaAhWzZUyan4+y5x/A/\n567rjgMUawAAACuhWAMWUVzZpKLKM8qcMFxhISwD90cJMeFKS4jU3mPVauvoNh0HAAAAvUSxBixi\nC7uBB4S5kxPV1e3WnqOnTUcBAABAL1GsAQvweDzasrdMLoddc1gG7tdYDg4AAGA9FGvAAooqz6ik\nqlmzJsUrNDggjp8PWGNShip6SLB2HaxSj9tjOg4AAAB6gWINWMCWPWWSWAYeCOx2m2ZPStCZ1k4d\nLqwzHQcAAAC9QLEGfJzH41HOnjIFu4I0e2K86TjwgnmTEyVJuQUsBwcAALACijXg406VN6m8pkWz\nJ8YrhGXgAWHqmFiFuIKUe6BCHg/LwQEAAHwdxRrwcTmfLgNfOJ1l4IHC5QzSjPHDVV7TotLTzabj\nAAAA4DIo1oAPO7cbeGhwkDJZBh5Qzu0OznJwAAAA30exBnzY8dIGVda2as6kRAU7g0zHgRfNmhgv\nu03aSbEGAADweRRrwIdt2VMuSVowPclwEnhbVESwJo6K0eGiOtWfaTcdBwAAAF+CYg34qHPLwMNC\nHJo5frjpODBgbkaCPB7pk4NVpqMAAADgS1CsAR91tLhep+vbNDcjQS6WgQckvmcNAABgDRRrwEdt\n2Xt2GTi7gQeupLgIjYiP0O6j1Wrv7DYdBwAAAJdAsQZ8kNvt0ZY9ZQoPcWj6OJaBB7K5GYnq7OrR\n3qPVpqMAAADgEijWgA86UlSvmsZ2zZuSKKeDl2kgYzk4AACA7+M3dsAH5ewtk8QycEjjUodpaESw\ndh2sUo/bYzoOAAAALoJiDfgYt9ujrXvLFBnm1LSxcabjwDC73abZk+LV0NyhY8X1puMAAADgIijW\ngI85eKpWdU0dypqSJEcQL1FI8yYnSpJ2HKgwnAQAAAAXw2/tgI85txv4gmlJhpPAV0wbFyeXM0g7\nD/I9awAAAF9EsQZ8SI/bo637yjUk3KWpY2JNx4GPCHYGaca4OJVUNau8utl0HAAAAHyOw3QAAP9Q\ncLJGDWc6dH3WSAWxDByfMW9ygnILKrXjQKVuWzLGdBzgop5++mnl5+erp6dH99xzj3Jzc7V7926F\nhYXJZrPp7rvv1qJFi0zHBABgwFGsAR+Ss+fsMvCF01kGjgvNmpggm03aeZBiDd+Um5urEydO6I03\n3lBDQ4NuvfVWZWVl6Re/+IUmTJhgOh4AAIOKYg34iJ4et7btK9fQyGBlpLMMHBcaGhmsCWnROnSq\nVo3NHYqKCDYdCbjAnDlzNG3aNElSVFSUWltbdebMGcOpAADwDtaaAj5i3/EaNbV0av7UJAXZbabj\nwAfNzUiQ2yN9cqjKdBTgC2w2m0JCQiRJf/nLX7R48WK1t7frt7/9rbKzs/Xwww+rqanJcEoAAAYH\nM9aAj2A3cFzO3MkJeuW9g8otqNTS2amm4wAXtX79eq1evVovvfSSduzYobFjxyotLU3PP/+8fvOb\n3+jRRx81HREAfJbH41FjY6PpGJfU3Nzcr3xDhgyRzebfE0cUa8AHdPe4tX1/uaKHBGviqBjTceCj\nUoZHKjkuXPlHTquzq0cuZ5DpSMAFcnJy9MILL+ill15SRESEli1bdv7fLV++XI899liv7qeouGiQ\nEnpfSWmJqqvr/WZM58ZRV1Mlu92plrY2w4muzOevi5XHdannmFXHdLnXjJXG1ZfXf11NlQ4WdGnI\n0KGDmOjK7D65pU//fXtbq7IyhisiImKQEvkGijXgA/Yeq9aZ1i7dvDCdZeD4UnMzEvXWxuPad7xG\nsybGm44DnNfc3KxnnnlGr7zyiiIjIyVJ9957r376058qMTFRubm5GjduXK/uKy01bTCjek1RcZFG\npIxQZ0+QX4ypqLjo/DhCgx2y252KjRtuOFX/fXY851h1XBcbyzlWHNOXjeccq4yrN2P5LF8fV1/H\nI0ktzU2aPj1NUVFRg5Sq//Ly8gbsvijWgA/Ysodl4OidORkJemvjce04UEGxhk9Zs2aNGhoa9MAD\nD8jj8chms+n222/X/fffr7CwMIWFhemJJ54wHRMAgEFBsQYM6+p2a/uBCsVGhWhCWrTpOPBxE0ZG\na0i4S7sOVsrt9sjOCgf4iBUrVmjFihVfuP2WW24xkAYAAO9iV3DAsD1HT6ulrUvzpyVTknBZQXab\nZk+KV11Th46XNpiOAwAAAFGsAeNy9pRJkhZOZxk4emduRoIkKbeg0nASAAAASBRrwKjOrh7lFlRq\n+LBQjUsdZjoOLGLGuOFyOuzaSbEGAADwCRRrwKD8I6fV2t6tBdOS/f5sPwyckGCHpo2NU2FFkypr\nW0zHAQAACHgUa8Cg87uBswwcfTRv8tnl4MxaAwAAmGeJYv3zn//8gv8/EFpbW3X//fcrOztbd9xx\nh7Zs6dtB58CV6ujq0c6DFUqICdOYlKGm48BiZk/ie9YAAAC+whLHbW3dulX/+q//qp07d6q5ufkL\n//7pp5/u832+/fbbSk9P14MPPqjTp0/r29/+tt5///2BiAv0St6hKrV19Oim+SwDR99FDwnRuNSh\nOnCyVs2tnYoIc5mOBAAAELAsUaz/8Ic/KD8/X4cOHVJWVtaA3OewYcN05MgRSVJjY6Oiozk/GN51\nbjfwBdNYBo7+mZuRqKPFDfrk8GktnpliOg4AAEDAskSxTk1NVWpqqmbOnKmUlBTV1tYqLi7uiu7z\nxhtv1FtvvaVrr71WTU1NeuGFFwYoLXB5bR3d2nmwSslx4UpPjjIdBxY1NyNBr75/SLkHKijWAAAA\nBlniO9bnlJWVadmyZcrOzpYkPfnkk/r444/7dV/vvvuukpKS9MEHH+iVV14Z0O9vA5ezs6BSnV09\nWjg9hWXg6LfUhEjFR4cp7/BpdXW7TccBAAAIWJaYsT7nd7/7nd588009+OCDkqR//ud/1ne/+10t\nWbKkz/eVn5+vhQsXSpImTJigqqoqud1u2e2X/qwhLy+vf8Fxgc7OTklmHk9fuYZ/21QjSYpxNfhM\nJn8SSI/pqDi7dtR166212zUmMcR0nCvS1/eGQLrOAADAt1mqWDudTsXGxp7/5+joaDmdzn7dV1pa\nmvbs2aPly5errKxM4eHhX1qqJSkzM7NffxculJOTI8n7j2deXp5PXMPm1k6d+PNajUoaouuvmWc6\njt/xlevsLc6oau04sk31nZHKzJxqOs4V6ct7g79fZz40AADAWiy1FNzlcmnnzp2Szm449qc//UnB\nwcH9uq9vfvObKisrU3Z2th566CGWgsNrtu+vUHePRwunJ5uOAj8waVSMIkKdyi2olMfjMR0HAAAg\nIFlqxvpnP/uZHnvsMe3fv1/Lly9XZmZmvwtxWFiY/uM//mOAEwKXt/nT3cAp1hgIjiC7Zk2M18b8\nUp0sa9RozkQHAADwOksV68TERP3+9783HQPot4YzHdp3rFrjU4cpISbcdBz4iTkZCdqYX6qdBZUU\nawAAAAMsUawff/xxPfroo7rzzjsvuoPy66+/biAV0Hdb95XL7ZEWzmC2GgMnc8JwOYJs2lFQqTuu\nm2A6DgAAQMCxRLH++te/Lkl64IEHDCcBrszm3aWy2aQF05JMR4EfCQtxasroWO0+Wq3q+jbFDQs1\nHQkAACCgWGLzsvr6em3fvl09PT0X/T/ACqrr23TwVJ0mp8cqJorig4E1d3KiJGnnwUrDSQAAAAKP\nJWasf/e7313y39lsNmVlZXkxDdA/W/Z+umkZy8AxCOZMStDzb+1T7oEK3TR/lOk4AAAAAcUSxfrV\nV1+94J89Hs9Fv2sN+LLNe8pkt9t01ZRE01Hgh+KGhSo9OUr7T9Sotb1LYSFO05EAAAAChiWWgp9z\n+PBh3XbbbbrhhhskSc8995z27t1rOBVweeU1zTpe0qDp4+IUFdG/s9eBy5mXkaDuHo/yDp82HQUA\nACCgWKpYP/XUU3riiScUFxcnSbrxxhv15JNPGk4FXF7O7rPLwBexDByDaE5GgiRpZwHfswYAAPAm\nSxVru92uCRP+cZTMqFGj5HBYYjU7AtzmPWVyOuyam8EycAye9OQoxQ4N1a5DVerucZuOAwAAEDAs\nVawlqaSk5Pz3qzdt2iSPx2M4EfDliiqaVFx5RrMmxis8lO+9YvDYbDbNzUhQS1uXDp6qNR0HAAAg\nYFhquvf//J//o+9973s6deqUMjMzlZycrF/+8pemYwFfavOeT3cDn84ycAy+ORkJem/rKeUWVGrq\nmDjTcQAAAAKCZWasDx8+rJiYGP3tb3/Tvffeq4yMDC1ZskSjRnGsDHyXx+PR5t2lCnEFafakeNNx\nEACmjI5VaLBDuQcqWdEDAADgJZYo1r/61a/0L//yL1q5cqWef/55FRYW6tvf/rY6Ozv105/+1HQ8\n4JKOlTSosrZVczMSFeKy1AIRWJTTYVfmhOGqqmtVceUZ03EAAAACgiV+09+xY4fef/991dfX66ab\nbtKWLVvkcDi0dOlSrVy50nQ84JJyPl0GfjW7gcOL5mYkaMvecu0oqFBa4hDTcQAAAPyeJWasQ0ND\nZbfbFRMTozFjxlywE7jTyWZQ8E1ut0c5e8oUHurUjPF81xXeM2tivOx2m3IPcOwWAACAN1iiWH+W\n3X5h5HM7hAO+5lBhnWob23XVlEQ5HUGm4yCARIS5NGV0jI6VNKimoc10HAAAAL9niaXgu3fv1uLF\niyVJtbW15//s8XhUX19vLhjwJTbtLpXEbuAwI2tyovYeq1HugQrdtCDddBwAAAC/ZolivXbtWtMR\ngD7p6XFr695yDY0I1tQxsabjIADNnZyo59/er+0UawAAgEFniWKdnMyMH6xl7/EaNbV06qb5oxQU\nZLlvXMAPxA4N1dgRQ7X/RK2aWzsVEeYyHQkB4Omnn1Z+fr56enp0zz33aMqUKXrooYfk8XgUFxen\np59+mr1RAAB+id/4gUGQs/vsbuAsA4dJ8yYnyu32aNehKtNREAByc3N14sQJvfHGG/rDH/6gJ554\nQs8++6xWrVql1157TUlJSVq9erXpmAAADAqKNTDAurp7tH1/uWKjQjRxZLTpOAhgWVMSJUnb91cY\nToJAMGfOHD377LOSpKioKLW2tmrXrl265pprJElLly7Vtm3bTEYEAGDQUKyBAZZ3+LRa2ru1YHqy\n7HZ2rYc5KcMjlBwXrvwjp9XR1WM6DvyczWZTSEiIJOkvf/mLFi9erLa2tvNLv+Pi4lRdXW0yIgAA\ng4ZiDQywjflndwNfNCPFcBIEOpvNpnmTE9XR2aM9R06bjoMAsX79eq1evVo/+clPLrjd4/FwRCYA\nwG9ZYvMywCpa2rq0q6BSKcMjNDolynQcQPOmJGr1x8e140Cl5k5ONB0Hfi4nJ0cvvPCCXnrpJUVE\nRCgsLEydnZ1yuVyqqqpSXFxcr+6nqLhokJN6T0lpiaqr6/1mTOfGUVdTJbvdqZa2NsOJrsznr4uV\nx3Wp55hVx3S514yVxtWX178VxtXX97O21mbtcdUrIiJikBL5Boo1MIC27y9XZ7dbizNTmJmBTxg3\nYpiihwQrt6BSPT1udqnHoGlubtYzzzyjV155RZGRkZKkrKwsrVu3TjfffLPWrVunhQsX9uq+0lLT\nBjOq1xQVF2lEygh19gT5xZiKiovOjyM02CG73anYuOGGU/XfZ8dzjlXHdbGxnGPFMX3ZeM6xyrh6\nM5bP8vVx9XU8ktTS3KTp09MUFeV7k055eXkDdl8Ua2AAfZzHMnD4FrvdprkZiXp/e6EOFtZpymjO\nVcfgWLNmjRoaGvTAAw+cX/b9y1/+Uv/2b/+mP//5z0pKStKtt95qOiYAAIOCYg0MkJqGNu0/UaNJ\no6KVEBNuOg5w3rwpZ4v1jv0VFGsMmhUrVmjFihVfuP3ll182kAYAAO9iTSAwQDbvLpXHIy2eyWw1\nfMuU0bEKC3Fox4EKeTwe03EAAAD8DsUaGCAb80vlCLJp/rRk01GACzgdds2aGK/T9W06WdZoOg4A\nAIDfoVgDA6CwokmnypuUOSFeQ8JdpuMAX5A15eyO4NsPVBhOAgAA4H8o1sAA2JhXIklakjnCcBLg\n4maOHy6nw67t+ynWAAAAA41iDVwht9ujTfmlCgtxaPakeNNxgIsKC3Fq5vjhKq48o9LTZ0zHAQAA\n8CsUa+AKFZysVU1ju+ZPTZLLGWQ6DnBJV009uxx82z5mrQEAAAYSxRq4Qhvzz55dvTiT3cDh2+ZM\nSlCQ3aZt+8tNRwEAAPArFGvgCnR29Wjr3jLFRoVocjrnA8O3RYS5NG1snE6UNqqytsV0HAAAAL9B\nsQauwK6DVWpp79bVM1Jkt9tMxwEu69xycDYxAwAAGDgUa+AKfPRJsSTpmlnsBg5rmDc5UXabtG0f\ny8EBAAAGCsUa6Kf6M+3KO3xaY1KilJY4xHQcoFeiIoKVkR6rw0X1qm1sMx0HAADAL1CsgX7alF8q\nt9uja2almo4C9AnLwQEAAAZWQBfrd999V7fccotuv/12bd682XQcWMxHu0rkCLLp6hnJpqMAfZI1\nhWO3AAAABlLAFuuGhgY999xzeuONN/T73/9e69evNx0JFnKyrFGFFU2aPSlBURHBpuMAfRITFaoJ\nacNUcLJGjc0dpuMAAABYXsAW623btmn+/PkKDQ1VbGysfv7zn5uOBAv5aBeblsHarpqaJLdH2nGA\nWWsAAIArFbDFuqysTG63Ww8++KBWrVql7du3m44Ei+jucWvT7lJFRbg0a2K86ThAv7AcHAAAYOA4\nTAcwxePxqKqqSs8995zKysp011136eOPPzYdCxaQd6hKjc2d+urCdDmCAvazKVhcQky4RqdEae+x\najW3dioizGU6EgAAgGUFbLGOjY3VjBkzZLfbNWLECIWHh6uurk7R0dGX/Jm8vDwvJvRfnZ2dksw8\nngPxd67OqZUkJYY385zwUVyX3kmL8ehEqUd/fm+HpqeHm47T5/cGrjMAAPAVAVus58+fr0ceeUT3\n3HOP6urq1Nra+qWlWpIyMzO9lM6/5eTkSPL+45mXl3fFf2dTS6eO/XmtRiYO0U3L5slmsw1QOgyU\ngbjOgSIhtVkb9n6k0kaX7vaBx6wv7w3+fp350AAAAGsJ2GIdHx+v6667TtnZ2ero6NBPf/pT05Fg\nAZt3l6q7x6Ols0dQqmF5yXERSk+K0p6jp1kODgAAcAUCtlhL0ooVK7RixQrTMWAhH31SIrvdpkUz\nU0xHAQbEgulJ+uOaRu04UKFlc9JMxwEAALAkdl4CeqmosknHSxqUOWG4hkWGmI4DDIgF05IlSTl7\nyw0nAQAAsC6KNdBLH+aePbt66exUw0mAgZMYG64xKVHae7RaTS2dpuMAAABYEsUa6IWu7h5t+KRE\nQyOCNWdSguk4wIBaOD1ZPW6Ptu/nTGsAAID+oFgDvbDjQKXOtHZqyawRcjp42cC/zP90OfiWPWWG\nkwAAAFgTDQHohQ9ziyRJy+ewDBz+Jz46TONTh2nf8Wo1NneYjgMAAGA5FGvgMqrqWrXnWLUmjYrW\niPhI03GAQbFgepLcHmnbPjYxAwAA6CuKNXAZ63cWy+ORlnMUEfzY/KmfLgdnd3AAAIA+o1gDX6LH\n7dH6nUUKDXZowbQk03GAQRM3LFQTR0brwIka1Te1m44DAABgKRRr4EvsOXpaNY3tWjQzRSHBDtNx\ngEG1YBrLwQEAAPqDYg18iQ/YtAwBZP60JNlsUg7LwQEAAPqEYg1cQsOZDuUeqNTIxCEaO2KoAN6j\n9QAAIABJREFU6TjAoIuJCtWkUTE6eKpWtY1tpuMAAABYBsUauIQNn5Sox+3RtXPTZLPZTMcBvGLh\ntCR5PFLOHmatAQAAeotiDVyEx+PRhzuL5HTYtTgzxXQcwGvmT0uW3W7TpvwS01FgQUePHtXy5cv1\n+uuvS5Ief/xx3X777crOztZdd92lTZs2GU4IAMDgYDcm4CIKTtaq9HSzrp6RrMgwl+k4gNcMjQzW\njHFxyjt8WqWnzyhlOGe3o3fa2tr0+OOPKysr6/xtLS0teuKJJzR+/HiDyQAAGHzMWAMX8f62QknS\nDVkjjeYATFg08+wqjU35ZYaTwEqCg4P14osvavjw4edva2lpkcfjMZgKAADvoFgDn1N/pl3b9pcr\nNSFSGekxpuMAXjdvcqKCXUHalF9KKUKv2e12uVwXrvBpbW3Vc889p+zsbD388MNqamoylA4AgMHF\nUnDgc9bvLFZ3j0c3ZI1k0zIEpNBgh+ZmJGjz7jIdLa7X+LRo05FgUStXrtTYsWOVlpam559/Xr/5\nzW/06KOPXvbnioqLvJDOO0pKS1RdXe83Yzo3jrqaKtntTrW0WfsEgc9fFyuP61LPMauO6XKvGSuN\nqy+vfyuMq6/vZ22tzdrjqldERMQgJfINFGvgM3rcHq3dUaRgV5CWZI4wHQcwZvHMFG3eXaaN+aUU\na/TbsmXLzv95+fLleuyxx3r1c2mpaYOUyLuKios0ImWEOnuC/GJMRcVF58cRGuyQ3e5UbNzwy/yU\n7/rseM6x6rguNpZzrDimLxvPOVYZV2/G8lm+Pq6+jkeSWpqbNH16mqKiogYpVf/l5eUN2H2xFBz4\njN1HTut0XasWz0xReKjTdBzAmBnjh2tIuEtb9pSrp8dtOg4s6t5771VFRYUkKTc3V+PGjTOcCACA\nwcGMNfAZa7adksSmZYAjyK4F05K0Zluh9hyrVuaEeNOR4OMKCgr01FNPqby8XA6HQ+vWrdOdd96p\n+++/X2FhYQoLC9MTTzxhOiYAAIOCYg186nRdqz45VKXxqcM0OmWo6TiAcYtnjtCabYXalF9KscZl\nZWRk6NVXX/3C7ddff72BNAAAeBdLwYFPrd1RKI9Hup7ZakCSNGHkMMVHh2nHgQq1d3abjgMAAOCz\nKNaApK5utz7MLVZEqFMLZySbjgP4BJvNpkUzU9TW0aOdBZWm4wAAAPgsijUgacf+CjU0d2jp7FQF\nO4NMxwF8xqJPP2jamF9qOAkAAIDvolgDktZs/3TTsqtGmg0C+JjUhCFKT4pS/uHTamzuMB0HAADA\nJ1GsEfAKK5p04EStpo2NVXKcfx9cD/THklkp6nF7tHl3mekoAAAAPolijYD3t5yTkqSvLhxtOAng\nmxbNTJHdbtNHnxSbjgIAAOCTKNYIaI3NHdqYV6LEmHDNmshxQsDFDIsM0awJ8TpR2qhT5Y2m4wAA\nAPgcijUC2rodRersdusrC0bJbreZjgP4rGVzRkiSPtpVYjgJAACA76FYI2B197j13tZTCg12aNmc\nVNNxAJ82a2KCIsNc2phfou4et+k4AAAAPoVijYC1dW+56pratXxOqsJCnKbjAD7N6bBrcWaKGps7\n9cmhKtNxAAAAfArFGgHrbzknZbNJX1mQbjoKYAnLZp9d2fHRLjYxAwAA+CyKNQLSkaI6HSmu1+yJ\nCUqMDTcdB7CE9OQojUoaol0Hq9RwhjOtAQAAzqFYIyC9e/6ILWargb5YNjtVPW6PNu0uNR0FAADA\nZ1CsEXBqG9u0dW+50hIiNXVsrOk4gKUsmpmiILtN63cWy+PxmI4DAADgEyjWCDjvbT2lHrdHNy8c\nLZuNI7aAvoiKCNbsSfEqrGjSyTLOtAYAAJAo1ggw7R3dWru9UJFhTi3OTDEdB7Ckc5uYrWcTMwAA\nAEkUawSYD3YW6Uxrl26an65gZ5DpOIAlZU6M19CIYG3KL1VXd4/pOAAAAMZRrBEwetwevbPphFzO\nIH1lwSjTcQDLcgSdPdP6TGuXtu+vMB0HAADAuIAv1h0dHVq2bJneeecd01EwyAqK2lRd36blc1IV\nFRFsOg5gaddnjZQkrd1eZDYIAACADwj4Yv273/1Ow4YNMx0Dg8zj8WjroTOy26SvLRptOg5geclx\nEZo6Jlb7T9SopOqM6TgAAABGBXSxPnnypE6ePKlFixaZjoJBln/ktKoaurRgWrISYsJNxwH8wrlZ\n63U7mLUGAACBLaCL9S9/+Uv96Ec/Mh0DXrB6w3FJ0m1LxhhOAviPeZMTNTQiWBs+KVZnF5uYAQCA\nwBWwxfqdd97RjBkzlJycLOnsUmH4p6PF9dp/okajE4I1OmWo6TiA33A67Fo6e4TOtHZp675y03EA\nAACMcZgOYMqmTZtUWlqqjz/+WJWVlQoODlZCQoKysrIu+TN5eXleTOi/Ojs7JXnv8fxzTq0kaf6k\nSK5hgOA6e09yZLck6S8fHtAQnb6i++rrewPXGQAA+IqALda//vWvz//5t7/9rVJSUr60VEtSZmbm\nYMcKCDk5OZK883iWVzfrcOlHGpMSpVHxwVzDAJCXl8d19rKcw9u0+2i1YpPHKi1hSP/vpw/vDf5+\nnfnQAAAAawnYpeAIDG9tPC6PR7ptyVjZbDbTcQC/9I+jtwpNxgAAADCGYi3pvvvu09e+9jXTMTDA\nTte36qNdxUqMDddVU5NMxwH81pyMBEUPCdbHn5SovbPbdBwAAACvo1jDb/11wzF193j0zWXjFGRn\nthoYLI4gu5bPSVNLe7e27CkzHQcAAMDrKNbwS9X1bfowt1iJMeFaPDPFdBzA7107N002m7R2O2da\nAwCAwEOxhl/664aj6u5xa8WycQoK4mkODLbh0WGaNTFeR4rrdbS43nQcAAAAr6JxwO/UNLTpg9xi\nJcSEaUkms9WAt9y8IF2S9Leck4aTAAAAeBfFGn5n9YZjZ2erlzJbDXjT9HFxGhEfqZw9ZaptbDMd\nBwAAwGtoHfArtY1tWrujSPHRYVoya4TpOEBAsdlsuuXqdPW4PVqzrdB0HBhw9OhRLV++XK+//rok\nqbKyUtnZ2Vq1apUefPBBdXV1GU4IAMDgoFjDr/z13Gz1snFyMFsNeN2imSmKDHNq7fZCdXT1mI4D\nL2pra9Pjjz+urKys87c9++yzys7O1muvvaakpCStXr3aYEIAAAYPzQN+o7axTet2FGl4dJiuYbYa\nMCLE5dD1WSPV1NKpTfmlpuPAi4KDg/Xiiy9q+PDh52/buXOnlixZIklaunSptm3bZioeAACDimIN\nv/HXDcfU1X32u9XMVgPm3HjVKNntNv0t56Q8Ho/pOPASu90ul8t1wW1tbW1yOp2SpLi4OFVXV5uI\nBgDAoHOYDgAMhMraFq3dXqiEGGarAdNih4ZqwdQkbd5Tpn3HazRtbJzpSDDEZrOd/7PH47ngn79M\nUbH/nIdeUlqi6up6vxnTuXHU1VTJbneqpc3aGxV+/rpYeVyXeo5ZdUyXe81YaVx9ef1bYVx9fT9r\na23WHle9IiIiBimRb6BYwy+8vvawuns8WnX9RDkdzFYDpt18dbo27ynTu5tPUqwDWFhYmDo7O+Vy\nuVRVVaW4uN49F9JS0wY5mXcUFRdpRMoIdfYE+cWYioqLzo8jNNghu92p2Ljhl/kp3/XZ8Zxj1XFd\nbCznWHFMXzaec6wyrt6M5bN8fVx9HY8ktTQ3afr0NEVFRQ1Sqv7Ly8sbsPuigcDyTpY1atPuUqUn\nR2nh9GTTcQBImpAWrfGpw7TrUKXKa5pNx4EhWVlZWrdunSRp3bp1WrhwoeFEAAAMDoo1LO8/1xyU\nxyN9+6ZJstt7t8wQwOC7eWG6PB7p71tOmY4CLygoKFB2drbefvtt/fGPf9Rdd92l++67T2+//bZW\nrVqlpqYm3XrrraZjAgAwKFgKDkvbd7xa+YdPa+qYWM0Yx3JTwJfMn5ak//f3An2YW6Q7rh2vyDDX\n5X8IlpWRkaFXX331C7e//PLLBtIAAOBdzFjDsjwej/7zvYOSzs5W93ZTHADe4Qiy62uLRqu9s0d/\nzzlpOg4AAMCgoVjDsrbtr9DR4gbNn5akcanDTMcBcBHXzRupyDCn3s05qbaObtNxAAAABgXFGpbU\n0+PWq2sOym636a4bJpqOA+ASQoMdunnhaDW3dWndjkLTcQAAAAYFxRqW9MHOYpVVt+i6uWlKivPv\nM/EAq/vKglEKDQ7S2xuPq6u7x3QcAACAAUexhuU0t3bqtfcPKTQ4SCuvHW86DoDLiAxz6fqsUapr\n6tBHu0pMxwEAABhwFGtYzp8+OKKmlk6tWDZe0UNCTMcB0AtfWzRajiC73vr4uHp63KbjAAAADCiK\nNSylqLJJ7209pcTYcN1ydbrpOAB6KXpIiJbPSVVFbYu27C03HQcAAGBAUaxhGR6PR394Z7/cbo/+\n5y2T5XQEmY4EoA9uWzJGdpv01w3H5PF4TMcBAAAYMBRrWMaOAxXae6xGMycM1+yJ8abjAOijhJhw\nXT0jRYUVTdp1qMp0HAAAgAFDsYYldHT16MV3CxRkt+l/3TJZNpvNdCQA/fD1a8ZKkt744Aiz1gAA\nwG9QrGEJ72w8rtN1rbp5YbpShkeajgOgn9ISh2j+1CQdK2lQbkGl6TgAAAADgmINn1dd36Y3Pzqm\noZHBuoPjtQDL+9b1E2S3Sa+9f0g9bmatAQCA9VGs4dM8Ho9+//Y+dXb16Ns3TlRYiNN0JABXaER8\npBZnjlBR5Rnl7CkzHQcAAOCKUazh07btr1BuQaUy0mN0zaxU03EADJA7rh0vR5BNf1p7WN2caw0A\nACyOYg2f1dzWpd+/tU9Oh133fWOa7HY2LAP8RUJMuK6bN1IVtS1av7PYdBwAAIArQrGGz3rl7wWq\nP9Ohby4bx4ZlgB9asWycXM4gvfHhEXV29ZiOAwAA0G8Ua/ikAydqtG5HkdISInXbkrGm4wAYBNFD\nQnTzglGqbWzXmm2FpuMAAAD0G8UaPqezq0e//cte2WzSfSumy+ngaQr4q9uWjFVYiEN/+eioONYa\nAABYFY0FPufNj46qrLpZN101ShPSok3HATCIhoS7dOviMWpq6VRre5fpOAAAAP1CsYZPKaxo0uoN\nxxQbFaLsGyeajgPAC766MF1DI4LV2tEtN+daAwAAC6JYw2d0dffoV6/nqbvHo+99fRpnVgMBIizE\nqbtunCiPx6PmNmatAQCA9VCs4TNeff+wCiuadN28NM2elGA6DgAvWjo7Vc4gu9o7u3XwVK3pOAAA\nAH1CsYZP2H+8Ru9sOq7E2HDd/dXJpuMA8DK73aaIMJck6Q/v7GdJOAAAsBSKNYxrbuvS//df+bLZ\nbPrfd85UaLDDdCQABjgddoW4HDpe2qiPdhWbjgMAANBrFGsY9/zqfappaNPKZeM0nl3AgYAWEepU\nsCtIf1xziF3CAQCAZQR0sX766ae1cuVKfeMb39CHH35oOk5A2ry7VJt2l2p86jCtWDbOdBwAhtnt\nNn3jmrFqaO7QGx8eNR0HAACgVwK2WOfm5urEiRN644039Ic//EFPPPGE6UgB53Rdq363ep9CXEH6\n1ztnKigoYJ+OAD7ja4vHaHh0mP6Wc0Jl1c2m4wAAAFxWwDaZOXPm6Nlnn5UkRUVFqa2tTR4Pm+V4\n05N/3KWWti79r69NUVJchOk4AHxEsDNI/+PmDHX3ePS7v+7lvRkAAPi8gC3WNptNISEhkqQ333xT\nixYtks1mM5wqcJxp7dTxkgYtnT1Cy+ekmo4DwMdcNSVRsyfFa9/xGn24k43MAACAbwvYYn3O+vXr\n9dZbb+knP/mJ6SgBo72zR20d3RqVNETfvW0qH2gA+AKbzabv3T5NocEOvfzuAdU2tpmOBAAAcEkB\nfa5RTk6OXnjhBb300kuKiLj8UuS8vDwvpPJvlfWdOtPSKZts+kpmmAr27/Xq3881DAxcZ2vq7OyU\ndOH1Wzo1Qn/f1aAnX96slQtjLvggjusMAAB8RcAW6+bmZj3zzDN65ZVXFBkZ2aufyczMHORU/q2l\nrUu//49NipVHURHBunbxXK/+/Xl5eVzDAMB1tq6cnBxJF77XzpjhUWHdVh04Uas2R6IWTk+W5P/X\nmQ8NAACwloAt1mvWrFFDQ4MeeOABeTwe2Ww2Pf3000pISDAdzS+53R49++fdqqhpUWqsU8HOINOR\nAFiA3W7T/d+Yrvv//WP9/u19mjY2TkPCXaZjoQ8KCgr0ve99T2lpafJ4PBo/frweffRR07EAABhQ\nAVusV6xYoRUrVpiOETBeX3dY2/dXaOqYWEV0nDIdB4CFJMVF6FvXT9D/+/tBvfjf+/Wvd/rvTLU/\nam1t1fXXX68f//jHpqMAADBoAn7zMgy+9TuL9Ob6o0qMDdfD2bNMxwFgQbdcPVpjRgzVx3ml2nmw\n0nQc9EFLSwtHpgEA/B7FGoNq77Fq/fYvexUZ5tRj/3OeoiKCTUcCYEFBQXb9yzdnyBFk17Nv7FZT\na4/pSOil1tZW5eXl6Z577lF2drZyc3NNRwIAYMAF7FJwDL6SqjN68pWdstls+rfvzFVS3OV3XgeA\nSxmZOER3fzVDv397v97aXqer53sUZOe4Pl83YcIE3XfffVqyZIkKCwv1ne98Rx9++KEcjkv/ClJU\nXOTFhIOrpLRE1dX1fjOmc+Ooq6mS3e5US5u1j8L7/HWx8rgu9Ryz6pgu95qx0rj68vq3wrj6+n7W\n1tqsPa76Xp3CZGUUawyK+jPteuzFHWpp79b/vnOmMtJjTEcC4Adumj9Ke45WK7egUn/96Ki+uXy8\n6Ui4jPT0dKWnp///7N13fFRV/v/x90zKSAqBBBKkGKQICoQSQSIgPShrAXEpQljEXfmiYAORqqgs\n1bogIsYGoigGFHdZsYGiKCUJ0QQBKdIJoYSQRkhyfn/wY5aQUG9gMpPX8/HwIXPvnZvPOWdmzrzn\n3rkjSapdu7aqVKmi1NRU1ahR45z3Cb8u/GqVd0Xt3LVTtWrWUl6Bl0e0aeeunc52VHB4y273UZWq\noS6u6vKd2Z7T3LVdJbXlNHds0/nac5q7tOti2nKmst6uS22PJGVlZqhZs3AFBQVdoaouX2n+Cgen\ngqPU5ZzI16R31ujgkWzd362hOkTWcnVJADyEzWbTY32bq6Kflz5cvkkp2w+7uiRcQFxcnObPny9J\nSktL0+HDhxUWFubiqgAAKF0Ea5SqEycL9MLba7RlV7o63VxLfbve4OqSAHiYQD9f9bo1WJL04oJ4\nHc/Oc3FFOJ+uXbtq1apVGjBggIYNG6bnnnvuvKeBAwDgjpjZUGpO5hdo8ntr9du2Q7o14lo92ruZ\nbDa+/wig9IWHOtSvW0Mt+HKT/vVxosYOasXrTRlVsWJFzZ0719VlAABwRXHEGqWioKBQMz6IV8Km\ng7r5xjCN7H+zvLx4eAG4cv7a+QY1qVtFvyQf0OIVW11dDgAAKMdIPrCsoNDolY8S9fNv+xVRr4pG\n/62lfLx5aAG4srzsNo0cEKmQoGv0/rKNWpO839UlAQCAcor0A0sKCo1mfbJB3yfu0Y21gzV+8C1y\n+Hi5uiwA5URwxWs0/oFb5OPtpZc+jNeOfcdcXRIAACiHCNa4bCfzCzTjg/X6Zt0u1asZpGf/3loV\nHHxtH8DVVa9WJT3Zr4VyThTohXfWKP34CVeXBAAAyhmCNS5L7ol8vfD2Gv2UtE+N6oRo0v+1kX8F\nH1eXBaCcatO0uvrf3lBpR3M0+b21Oplf4OqSAABAOUKwxiU7np2nCW+uVuKWNLW8KUzPPRRFqAbg\ncn263KDbmtXQ738e0axFSTLGuLokAABQTnDeLi7JkYxcPfPmau08cFwdWtTUY32by5urfwMoA2w2\nmx7t21wHjmTpu/W7VSnAoUF33sTPcAEAgCuORISLtn3vMY381w/aeeC47mxzvZ7o14JQDaBMcfh4\nacLg1qpRNUCLV27Vwq82u7okAABQDpCKcFFW/7pPo2atUtrRHA24o6Ee6tlEdjtHgQCUPZUCHfrn\n0FsVFuynD7/arMUr/nB1SQAAwMMRrHFexhh99NVmTXl/nWySxg5qqT5dGnBqJYAyLSSogib9362q\nEnSN3v33Rv3nx+2uLgkAAHgwgjXOKTcvX9Pmr9eHyzcptHIFTR/eTlFNqru6LAC4KNVC/DVpaBtV\nCnRozpLf9PWana4uCQAAeCiCNUq0c3+GRrz2g35K2qebrg/WS4+11/XVg1xdFgBckhpVAzRpyK0K\n9PPVzEUb9MUqjlwDAIDSR7BGEcYY/Xf1Dj356vfadeC4ut9aW5P+79QRHwBwR+HXVtQ/h96qSgEO\nzf3sN81btpGf4gIAAKWKYA2n49l5mvL+Os2O+1W+Pl4aO6iVhvZqKh9vHiYA3Nv11YM0fXg7Va/i\nr0Xf/qFXFyYqv6DQ1WUBAAAPwe9YQ5L069Y0vfJRog6l56hRnRCNuD9SVStXcHVZAFBqqoX4a/rw\ndnou9hd9t363jmWe0OiBLXWNg6kQAABYw6HIci4zO0//+jhR495YrSPHctT/9ob659A2hGoAHiko\nwKF/Dm2jyIahit90UGPe+EkHj2a7uiwAAODmCNbllDFGqzbs1dDp3+nrtbt0ffWKevGx29S3awN5\n8fvUADxYBYe3xg++RV1bXaetu9P1+MvfK2HTQVeXBQAA3Bjnv5VDBw5n6a3PkrV24wH5etv1t7/c\npB7t68rbi89ZAJQP3l52De/dTPWvq6y5S37TxNif1adLA/WN5sNFAABw6QjW5Uhmzkkt+maLlq7a\nrvyCQkXUq6JH/tpU1asEuLo0ALjqbDab7oiqrXo1gzT1/XVa+PVmbd55RCP6RyoogF9CAAAAF49g\nXQ7kFxTqv6v/1Edfbdbx7DxVrVxBA7vfpPbNa8hm48gMgPKtfq3KevXJDnr5wwSt/z1Vw19coaG9\nIhTVpLqrSwMAAG6CYO3BCgoKtWrDXi38erP2pmWpgsNbA7vfqLtvqyuHj5erywOAMiPQz1cTBt+i\nxSu3asGXmzT5vXVq27S6hvSMUKVAjl4DAIDzI1h7oJP5hVoZv1uLvvtD+w9lyW636Y5ba+v+6Ia8\nQQSAc7DbbbqvU33d0qiaZn6yQT8m7VPSH4f0UI/Gat+iJmf4AACAcyJYe5CcE/n6bt0uxa3cqrSj\nOfL2suv2qNrq1bGeqoX4u7o8AHALtcICNeWRtvrPT9s1b9nveunDBH27frcG39VI11cPcnV5AACg\nDCJYe4B9aZn6z+od+nbtLmXl5svX266729VRzw71VKUSv0cNAJfKy27T3e3qqtVN1fRG3K9K2HxQ\nj728Uh0ja6n/7Q0VWtnP1SUCAIAyhGDtpvILChX/e6qWrf5TCZtP/f5q5UCH7r6tru64tbYqB17j\n4goBwP1VC/HXcw9FKWHzQb337xR9t363Vm3Yq7vb1VGvTvUV6Ofr6hIBAEAZQLB2I8YY/bE7XSvW\n79YPG/YqIytPknTT9cG6s00dtW5yrXy8+S1qAChtLRqEqmn9qvo+Ybfm/3eT4lZs1X9+2qGut4Tr\nntvqKiyYI9gAAJRnBOsyzhijP/dn6Jff9uv7xD3am5YlSQoK8NVd7eqoa6vr+M4fAFwFXnabOt18\nndo0raH/rt6hz7/fpi9Wbdd/ftqhthHV1bNDPdWrVcnVZQIAABcgWJdBBQWF2rjjiH5J3q9fUg7o\n4JFsSZKvt123NauhjjfXUrMbqsrbi6PTAHC1OXy81KN9Pd3Zto5WbdirxSu26ocNe/XDhr264bpK\n6tLyOrVrVkMBnCYOAEC5QbAuA4wx2nMwU0l/pGnDljT9tu2QsnPzJUl+13jrtmY11LrxtYq8MVR+\n1/i4uFoAgCR5e9nVMbKWOrSoqcQtaVr6wzYlbj6oLbvS9dbnyWrd+Fp1bllLTevzQSgAAJ6OYO0C\nBQWF+nN/hjb9eUS//3lUydsP6fCxXOf6a0P81b5FTbVufK2a1K3C96YBoAyz2Wxq0SBULRqE6vCx\nHK2M36Nv1u3Sqg17tWrDXvlX8NHNDcN0S6NqatEwVP4V+IAUAABPQ7C+wgoKjfYfytT2vce0fe8x\n/bE7XVt2HVVuXoFzm4r+vmrXrIaa1q+qpvWr8JvTAOCmQoIqqFen+rq3Yz1t2XVUKxP2aE3KAX2f\nuEffJ+6Rt5dNjetUUUT9KmpSr4rq1azE0WwAADwAwbqUFBYaHUrP0e6Dx7U7NVO7U49r14EM/bk/\no0iIttmkWmGBurF2sBqGV1bD2sGqUTVANpvNhdUDAEqTzWZTg/BgNQgP1kM9mmjHvgytSTmgNSn7\nteGPNG34I02SdI2vl26sHaxGdUNUv2Zl1a0ZpKAAh4urBwAAl6pcB+spU6YoKSlJNptNY8eOVZMm\nTc67ffrxEzp4NFupR7KV9v//f/BojnPZiTMCtCTZ7TZdFxaoOjWCnP9dXz1IAZwGCADlhs1mc84B\n/aIb6GhGrpK3H9Zv2w4pedthJW5JU+KWNOf2VStX0CN3hLiw4tJ3qfMtAADuptwG63Xr1mnnzp1a\nuHChtm3bpjFjxuiTTz45731iJn5Z4nL/a7xVvYq/aoYGqlZogGpVC1St0EBVr+ovH2+vK1E+AMBN\nVa54jdo1q6F2zWpIOvWh7aadR7R1T7q27k7Xtj3HXFxh6bqc+RYAAHdTboP1zz//rC5dukiS6tat\nq4yMDGVlZcnf/9zfb45qcq1CK/spNLiCwir7KTTYT1Ur+3EEGgBw2SoFOtS68bVq3fhaSad+KSIh\nIcHFVZWey5lvAQBwN+U2WB86dEiNGzd23g4JCdGhQ4fOO9GPHdTqapQGACjHPO2aG5cz3wIA4G7K\nbbA2xhS77WlvZgAAcLXLmW/t+elXsqSrxuQclj3frsL8E8rKzHB1OZblZGc625GTnS27l7dbt+vM\n9vxvmXu2q6S2/G+d+7XpfO353zbu0a6LaUvR7ct2uy61PZKUnZ11haopW2zm7BmvnJgjFfO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vTwww/Ly8tLc+fOVbVq1bR161b5+Pg43/+c6ZVXXtEPP/yg8PBw2Ww21a1bV5KKvbd45ZVX9OWX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\n4eEqKSmRYRgKCQlRTk5OhW2vd2xZrdZ6H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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "pf.create_round_trip_tear_sheet(bt_returns, bt_positions, bt_transactions);" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3.5", + "language": "python", + "name": "py35" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.5.9" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} \ No newline at end of file diff --git a/11-Quantopian-Avancé/04-Projet-Analyse-Sentiment-Stock.ipynb b/11-Quantopian-Avancé/04-Projet-Analyse-Sentiment-Stock.ipynb new file mode 100644 index 0000000..b4e17a8 --- /dev/null +++ b/11-Quantopian-Avancé/04-Projet-Analyse-Sentiment-Stock.ipynb @@ -0,0 +1,139 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Analyse de Sentiments\n", + "\n", + "Regardez la vidéo pour plus de détails." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Code final\n", + "Voici le code final:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# Cette section est uniquement importable dans le backtester\n", + "from quantopian.algorithm import attach_pipeline, pipeline_output\n", + "\n", + "# Importations générales de pipeline\n", + "from quantopian.pipeline import Pipeline\n", + "from quantopian.pipeline.factors import AverageDollarVolume\n", + "\n", + "\n", + "# Utiliser l'échantillon gratuit dans votre algo de pipeline\n", + "from quantopian.pipeline.data.sentdex import sentiment_free as sentdex\n", + "\n", + "# pour calculer l'impact\n", + "from quantopian.pipeline.factors import CustomFactor\n", + "import numpy as np\n", + "\n", + "\n", + "def initialize(context):\n", + " # Planifier notre fonction de rééquilibrage au début de chaque semaine.\n", + " schedule_function(my_rebalance, date_rules.every_day())\n", + "\n", + " \n", + " attach_pipeline(make_pipeline(), \"pipeline\")\n", + "\n", + "# Calcul du sentiment m sur la longueur de la fenêtre\n", + "class AvgSentiment(CustomFactor):\n", + " def compute(self, today, assets, out, impact):\n", + " np.mean(impact, axis=0, out=out)\n", + " \n", + "def make_pipeline():\n", + "\n", + " # Éliminez les actions à un penny et les titres peu liquides.\n", + " dollar_volume = AverageDollarVolume(window_length=30)\n", + " is_liquid = dollar_volume.top(500)\n", + " \n", + " # Calcul du sentiment moyen\n", + " avg_sentiment = AvgSentiment(inputs=[sentdex.sentiment_signal], window_length=10)\n", + "\n", + " return Pipeline(columns={\n", + " 'sentiment':avg_sentiment\n", + " }, screen=is_liquid)\n", + " \n", + "\n", + " \n", + "def before_trading_start(context, data):\n", + " portfo = pipeline_output('pipeline')\n", + " context.something = portfo['sentiment'] \n", + " \n", + " # Actions avec un sentiment > 0\n", + " context.longs = portfo[portfo['sentiment'] > 0].index.tolist()\n", + " \n", + " # Actions avec un sentiment < 0\n", + " context.shorts = portfo[portfo['sentiment'] < 0].index.tolist()\n", + "\n", + " context.long_weight, context.short_weight = my_compute_weights(context)\n", + "\n", + " \n", + "def my_compute_weights(context):\n", + "\n", + " # Calculer des pondérations cibles égales pour nos positions longues et nos positions courtes.\n", + " if len(context.longs)==0:\n", + " long_weight = 0\n", + " else:\n", + " long_weight = 0.5/len(context.longs)\n", + " \n", + " if len(context.shorts)==0:\n", + " short_weight = 0\n", + " else:\n", + " short_weight = -0.5/len(context.shorts)\n", + " \n", + " return long_weight, short_weight\n", + "\n", + "\n", + "def my_rebalance(context, data):\n", + "\n", + " for security in context.portfolio.positions:\n", + " if security not in context.longs and security not in context.shorts and data.can_trade(security):\n", + " order_target_percent(security, 0)\n", + "\n", + " for security in context.longs:\n", + " if data.can_trade(security):\n", + " order_target_percent(security, context.long_weight)\n", + "\n", + " for security in context.shorts:\n", + " if data.can_trade(security):\n", + " order_target_percent(security, context.short_weight)\n", + " \n", + " print(context.something)" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3.5", + "language": "python", + "name": "py35" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.5.9" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} \ No newline at end of file diff --git a/Environnements Anaconda (si prob)/environment.yml b/Environnements Anaconda (si prob)/environment.yml new file mode 100644 index 0000000..480d241 --- /dev/null +++ b/Environnements Anaconda (si prob)/environment.yml @@ -0,0 +1,44 @@ +name: pyfinance +channels: +- defaults +dependencies: +- cycler=0.10.0=py36_0 +- icu=57.1=vc14_0 +- jpeg=9b=vc14_0 +- libpng=1.6.27=vc14_0 +- matplotlib=2.0.2=np113py36_0 +- mkl=2017.0.3=0 +- numpy=1.13.1=py36_0 +- openssl=1.0.2l=vc14_0 +- pandas=0.20.3=py36_0 +- pandas-datareader=0.4.0=py36_0 +- patsy=0.4.1=py36_0 +- pip=9.0.1=py36_1 +- pyparsing=2.1.4=py36_0 +- pyqt=5.6.0=py36_2 +- python=3.6.2=0 +- python-dateutil=2.6.1=py36_0 +- pytz=2017.2=py36_0 +- qt=5.6.2=vc14_6 +- requests=2.14.2=py36_0 +- requests-file=1.4.1=py36_0 +- requests-ftp=0.3.1=py36_0 +- scipy=0.19.1=np113py36_0 +- setuptools=27.2.0=py36_1 +- sip=4.18=py36_0 +- six=1.10.0=py36_0 +- statsmodels=0.8.0=np113py36_0 +- tk=8.5.18=vc14_0 +- vs2015_runtime=14.0.25420=0 +- wheel=0.29.0=py36_0 +- zlib=1.2.8=vc14_3 +- pip: + - certifi==2017.7.27.1 + - chardet==3.0.4 + - idna==2.5 + - inflection==0.3.1 + - more-itertools==3.2.0 + - quandl==3.2.0 + - urllib3==1.21.1 +prefix: C:\Users\Rod\Anaconda3\envs\pyfinance + diff --git a/Environnements Anaconda (si prob)/maclinuxenvironment.yml b/Environnements Anaconda (si prob)/maclinuxenvironment.yml new file mode 100644 index 0000000..a3c91c1 --- /dev/null +++ b/Environnements Anaconda (si prob)/maclinuxenvironment.yml @@ -0,0 +1,84 @@ +name: pyfinance +channels: +- defaults +dependencies: +- appnope=0.1.0=py36_0 +- bleach=1.5.0=py36_0 +- cycler=0.10.0=py36_0 +- decorator=4.1.2=py36_0 +- entrypoints=0.2.3=py36_0 +- freetype=2.5.5=2 +- html5lib=0.999=py36_0 +- icu=54.1=0 +- inflection=0.3.1=py36_0 +- ipykernel=4.6.1=py36_0 +- ipython=6.1.0=py36_0 +- ipython_genutils=0.2.0=py36_0 +- ipywidgets=6.0.0=py36_0 +- jedi=0.10.2=py36_2 +- jinja2=2.9.6=py36_0 +- jsonschema=2.6.0=py36_0 +- jupyter=1.0.0=py36_3 +- jupyter_client=5.1.0=py36_0 +- jupyter_console=5.1.0=py36_0 +- jupyter_core=4.3.0=py36_0 +- libpng=1.6.27=0 +- markupsafe=0.23=py36_2 +- matplotlib=2.0.2=np113py36_0 +- mistune=0.7.4=py36_0 +- mkl=2017.0.1=0 +- more-itertools=3.2.0=py36_0 +- nbconvert=5.2.1=py36_0 +- nbformat=4.3.0=py36_0 +- notebook=5.0.0=py36_0 +- numpy=1.13.1=py36_0 +- openssl=1.0.2l=0 +- pandas=0.20.3=py36_0 +- pandas-datareader=0.4.0=py36_0 +- pandocfilters=1.4.1=py36_0 +- path.py=10.3.1=py36_0 +- patsy=0.4.1=py36_0 +- pexpect=4.2.1=py36_0 +- pickleshare=0.7.4=py36_0 +- pip=9.0.1=py36_1 +- prompt_toolkit=1.0.14=py36_0 +- ptyprocess=0.5.1=py36_0 +- pygments=2.2.0=py36_0 +- pyparsing=2.1.4=py36_0 +- pyqt=5.6.0=py36_2 +- python=3.6.1=2 +- python-dateutil=2.6.0=py36_0 +- pytz=2017.2=py36_0 +- pyzmq=16.0.2=py36_0 +- qt=5.6.2=2 +- qtconsole=4.3.0=py36_0 +- quandl=3.1.0=py36_0 +- readline=6.2=2 +- requests=2.14.2=py36_0 +- requests-file=1.4.1=py36_0 +- requests-ftp=0.3.1=py36_0 +- scipy=0.19.1=np113py36_0 +- setuptools=27.2.0=py36_0 +- simplegeneric=0.8.1=py36_1 +- sip=4.18=py36_0 +- six=1.10.0=py36_0 +- sqlite=3.13.0=0 +- statsmodels=0.8.0=np113py36_0 +- terminado=0.6=py36_0 +- testpath=0.3.1=py36_0 +- tk=8.5.18=0 +- tornado=4.5.1=py36_0 +- traitlets=4.3.2=py36_0 +- wcwidth=0.1.7=py36_0 +- wheel=0.29.0=py36_0 +- widgetsnbextension=2.0.0=py36_0 +- xz=5.2.2=1 +- zlib=1.2.8=3 +- pip: + - ipython-genutils==0.2.0 + - jupyter-client==5.1.0 + - jupyter-console==5.1.0 + - jupyter-core==4.3.0 + - prompt-toolkit==1.0.14 +prefix: /Users/Rod/anaconda/envs/pyfinance + diff --git a/README.md b/README.md new file mode 100644 index 0000000..ec35a14 --- /dev/null +++ b/README.md @@ -0,0 +1,2 @@ +# Python-pour-finance +Dossier privé du contenu du cours d'Analyse Financière Python diff --git a/env-linux.yml b/env-linux.yml new file mode 100644 index 0000000..e974cda --- /dev/null +++ b/env-linux.yml @@ -0,0 +1,87 @@ +name: pyfinance +channels: +- defaults +dependencies: +- bleach +- cycler +- decorator +- entrypoints +- freetype +- html5lib +- icu +- inflection +- ipykernel +- ipython +- ipython_genutils +- ipywidgets +- jedi +- jinja2 +- jsonschema +- jupyter +- jupyter_client +- jupyter_console +- jupyter_core +- libpng +- markupsafe +- matplotlib +- mistune +- mkl +- more-itertools +- nbconvert +- nbformat +- notebook +- numpy +- openpyxl +- openssl +- pandas +- pandas-datareader +- pandocfilters +- path.py +- patsy +- pexpect +- pickleshare +- pip +- prompt_toolkit +- ptyprocess +- pygments +- pyparsing +- pyqt +- python +- python-dateutil +- pytz +- pyzmq +- qt +- qtconsole +- quandl +- readline +- requests +- requests-file +- requests-ftp +- scipy +- setuptools +- simplegeneric +- sip +- six +- sqlite +- statsmodels +- terminado +- testpath +- tk +- tornado +- traitlets +- wcwidth +- wheel +- widgetsnbextension +- xlrd +- xz +- zlib +- pip: + - ipython-genutils + - jupyter-client + - jupyter-console + - jupyter-core + - mpl-finance + - mplfinance + - prompt-toolkit + - sqlalchemy +prefix: \\Anaconda3\envs\pyfinance diff --git a/env-mac.yml b/env-mac.yml new file mode 100644 index 0000000..7cce4c1 --- /dev/null +++ b/env-mac.yml @@ -0,0 +1,88 @@ +name: pyfinance +channels: +- defaults +dependencies: +- appnope +- bleach +- cycler +- decorator +- entrypoints +- freetype +- html5lib +- icu +- inflection +- ipykernel +- ipython +- ipython_genutils +- ipywidgets +- jedi +- jinja2 +- jsonschema +- jupyter +- jupyter_client +- jupyter_console +- jupyter_core +- libpng +- markupsafe +- matplotlib +- mistune +- mkl +- more-itertools +- nbconvert +- nbformat +- notebook +- numpy +- openpyxl +- openssl +- pandas +- pandas-datareader +- pandocfilters +- path.py +- patsy +- pexpect +- pickleshare +- pip +- prompt_toolkit +- ptyprocess +- pygments +- pyparsing +- pyqt +- python +- python-dateutil +- pytz +- pyzmq +- qt +- qtconsole +- quandl +- readline +- requests +- requests-file +- requests-ftp +- scipy +- setuptools +- simplegeneric +- sip +- six +- sqlite +- statsmodels +- terminado +- testpath +- tk +- tornado +- traitlets +- wcwidth +- wheel +- widgetsnbextension +- xlrd +- xz +- zlib +- pip: + - ipython-genutils + - jupyter-client + - jupyter-console + - jupyter-core + - mpl-finance + - mplfinance + - prompt-toolkit + - sqlalchemy +prefix: \\Anaconda3\envs\pyfinance \ No newline at end of file diff --git a/env-windows.yml b/env-windows.yml new file mode 100644 index 0000000..bd67589 --- /dev/null +++ b/env-windows.yml @@ -0,0 +1,52 @@ +name: pyfinance +channels: +- defaults +dependencies: +- cycler +- icu +- jpeg +- jupyter +- jupyter_client +- jupyter_console +- jupyter_core +- libpng +- matplotlib +- mkl +- numpy +- openpyxl +- openssl +- pandas +- pandas-datareader +- patsy +- pip +- pyparsing +- pyqt +- python +- python-dateutil +- pytz +- qt +- requests +- requests-file +- requests-ftp +- scipy +- setuptools +- sip +- six +- statsmodels +- tk +- vs2015_runtime +- wheel +- xlrd +- zlib +- pip: + - certifi + - chardet + - idna + - inflection + - more-itertools + - mpl-finance + - mplfinance + - quandl + - sqlalchemy + - urllib3 +