{
"cells": [
{
"cell_type": "markdown",
"metadata": {
"hideCode": false,
"hidePrompt": false
},
"source": [
"# Le pouvoir d'achat des ouvriers anglais du XVIe au XIXe siècle\n",
"\n",
"Dans le cadre de cette exercice évalué par les pairs (Mooc RR, mod3) j'ai choisi le sujet n°2 intitulé :\n",
"**Le pouvoir d'achat des ouvriers anglais du XVIe au XIXe siècle**\n",
"\n",
"## Contexte de l'étude\n",
"\n",
"William Playfair un des pionnier de la représentation graphique des données, a réalisé un graphique montrant l'évolution du prix du blé et du salaire moyen entre 1565 et 1821. Ce graphique a été publié en 1822 dans son livre *A Letter on our Agricultural Distresses, Their Causes and Remedies*. Ci-dessous une reproduction hébergée sur [Wikipédia][graph original].\n",
"\n",
"\n",
"\n",
"[graph original]:https://fr.wikipedia.org/wiki/William_Playfair#/media/File:Chart_Showing_at_One_View_the_Price_of_the_Quarter_of_Wheat,_and_Wages_of_Labour_by_the_Week,_from_1565_to_1821.png\n",
"\n",
"Le premier objectif de l'étude est de reproduire ce graphe, puis dans un second temps de corriger le graphique. En effet W. Playfair a utilisé la même unité pour représenter deux quantités différentes sur l'axe des ordonnées. Enfin dans un troisième temps le but sera d'améliorer la représentation du pouvoir d'achat des agriculteurs anglais sur cette période.\n",
"\n",
"## Les données\n",
"\n",
"### Sources\n",
"\n",
"Au contraire du descriptif du sujet, j'ai été en mesure de retrouver certaines données numériques originale. W. Playfair a bien publié certaines données numériques de son étude. Dans la copie numérique de son livre, disponible [ici][playfair book], p. 40 on trouve des fragments du graphique qui nous intéresse ici, puis p. 48 le tableau du calcul du prix moyen du Boisseau de blé par tranche de 5 ans. Cette information est importante, le prix du blé est moyenné sur 5 ans, à compter de la date à gauche de chaque barre du graphique original.\n",
"\n",
"Mais je n'ai pas trouvé dans le manuscript le détail du calcul des salaires, il semble que le livre a été mal numérisé pour la partie annexe, ou que des pages sont manquantes.\n",
"\n",
"Néanmoins une version numérisée des données du graphique est diponible [ici][data_url], réalisé par [Vincent Arel-Bundock] et publié sur son site [R datasets][vab r datasets].\n",
"\n",
"[data_url]: https://raw.githubusercontent.com/vincentarelbundock/Rdatasets/master/csv/HistData/Wheat.csv\n",
"[Vincent Arel-Bundock]: https://github.com/vincentarelbundock\n",
"[vab r datasets]: https://vincentarelbundock.github.io/Rdatasets/\n",
"[playfair book]: https://books.google.fr/books?id=aQZGAQAAMAAJ&printsec=frontcover&hl=fr&source=gbs_ge_summary_r&cad=0#v=onepage&q&f=false"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"hideCode": false,
"hidePrompt": false
},
"outputs": [],
"source": [
"# import des bibliothèques\n",
"import urllib\n",
"import matplotlib.pyplot as plt\n",
"import pandas as pd\n",
"import numpy as np\n",
"from os import listdir\n",
"%matplotlib inline\n",
"\n",
"# import de fonctions spécifiques pour accès direct\n",
"from matplotlib.ticker import MultipleLocator\n",
"import matplotlib.ticker as ticker\n",
"# from matplotlib.dates import DateFormatter"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"hideCode": false,
"hidePrompt": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Fichier déjà téléchargé\n"
]
},
{
"data": {
"text/plain": [
"['exercice_python_en.org',\n",
" 'exercice_fr.ipynb',\n",
" 'Wheat.csv',\n",
" 'exercice.ipynb',\n",
" 'exercice_fr.Rmd',\n",
" 'playfair_ori_prixble_salaire.png',\n",
" 'exercice_python_fr.org',\n",
" 'exercice_R_en.org',\n",
" 'exercice_R_fr.org',\n",
" 'exercice_en.Rmd',\n",
" 'exercice_en.ipynb',\n",
" '.ipynb_checkpoints']"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# téléchargement du fichier\n",
"data_url = 'https://raw.githubusercontent.com/vincentarelbundock/Rdatasets/master/csv/HistData/Wheat.csv'\n",
"filename = 'Wheat.csv'\n",
"\n",
"curFiles = set(listdir())\n",
"\n",
"# téléchargement automatique du fichier\n",
"# si non présent dans le répertoire\n",
"if not(filename in curFiles):\n",
" print('Téléchargement du fichier')\n",
" urllib.request.urlretrieve(data_url, filename)\n",
"else:\n",
" print('Fichier déjà téléchargé')\n",
"\n",
"listdir()"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"hideCode": false,
"hidePrompt": false
},
"outputs": [],
"source": [
"# lecture du fichier\n",
"rawdata = pd.read_csv(filename, index_col=0)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"hideCode": false,
"hidePrompt": false
},
"outputs": [
{
"data": {
"text/html": [
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\n",
"\n",
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" \n",
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\n",
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\n",
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Year
\n",
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Wheat
\n",
"
Wages
\n",
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1
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1565
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41.0
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5.00
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2
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1570
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45.0
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5.05
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3
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1575
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42.0
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5.08
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\n",
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4
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1580
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49.0
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5.12
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5
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1585
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41.5
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5.15
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],
"text/plain": [
" Year Wheat Wages\n",
"1 1565 41.0 5.00\n",
"2 1570 45.0 5.05\n",
"3 1575 42.0 5.08\n",
"4 1580 49.0 5.12\n",
"5 1585 41.5 5.15"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"rawdata.head()"
]
},
{
"cell_type": "markdown",
"metadata": {
"hideCode": false,
"hidePrompt": false
},
"source": [
"### Vérification des données\n",
"\n",
"Les données sont vérifiées sur les critères suivants :\n",
"\n",
"* présence de lignes vides\n",
"* rupture de date, ou division non régulière\n",
"\n",
"Il est à noter les données sont enregistrées tous les 5 ans (moyenne pour le prix du blé, pour les salaires ce n'est pas vérifié mais supposé)."
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"hideCode": false,
"hidePrompt": false
},
"outputs": [
{
"data": {
"text/html": [
"
\n",
"\n",
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\n",
" \n",
"
\n",
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\n",
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Year
\n",
"
Wheat
\n",
"
Wages
\n",
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\n",
" \n",
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51
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1815
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78.0
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NaN
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52
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1820
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54.0
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53
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1821
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"text/plain": [
" Year Wheat Wages\n",
"51 1815 78.0 NaN\n",
"52 1820 54.0 NaN\n",
"53 1821 54.0 NaN"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# présence de lignes vides\n",
"rawdata[rawdata.isnull().any(axis=1)]"
]
},
{
"cell_type": "markdown",
"metadata": {
"hideCode": false,
"hidePrompt": false
},
"source": [
"Les 3 dernières lignes sont vides pour la colonne *Wages*, ce qui explique l'arrêt de la ligne rouge et de la surface bleue dans le graphique originale."
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"hideCode": false,
"hidePrompt": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Années de rupture :\n",
"1820\n"
]
}
],
"source": [
"# rupture de date, ou division non régulière\n",
"print(\"Années de rupture :\")\n",
"expect_delta = 5\n",
"for y1, y2 in zip(rawdata['Year'][:-1], rawdata['Year'][1:]):\n",
" delta_y = y2 - y1\n",
" if delta_y != expect_delta :\n",
" print(y1)"
]
},
{
"cell_type": "markdown",
"metadata": {
"hideCode": false,
"hidePrompt": false
},
"source": [
"Seule l'année 1820 présente une rupture. En effet l'enregistrement suivant est 1821. Ce qui explique la barre moins large sur le graphique original, pour les années 1820 à 1821.\n",
"\n",
"### Commentaire sur les unités\n",
"\n",
"Pour rappel les untités originales des données sont les suivantes :\n",
"* Blé (Wheat) : Shillings pour un quart de boisseau (8,6 kg)\n",
"* Salaire (Wages) : Shillings par semaine\n",
"\n",
"Avant 1971, la monnaie anglaise était découpée de la manière suivante :\n",
"* 1 Livre valait 20 shillings\n",
"* 1 Shilling valait 12 pences"
]
},
{
"cell_type": "markdown",
"metadata": {
"hideCode": false,
"hidePrompt": false
},
"source": [
"## Reproduction du graphique original\n",
"\n",
"Ci-dessous le graphique original est reproduit à l'aide de `Matplotlib`.\n",
"(Pour représenter des dégradés voir ce lien : https://matplotlib.org/3.2.1/gallery/lines_bars_and_markers/gradient_bar.html?highlight=gradient)\n",
"\n",
"Les années 1820 et 1821 sont représentées séparémment du reste des données afin d'avoir une barre de largeur différente (voir le code ci-dessous). Les deux graphiques sont superposés par le biais de la méthode `twinx`.\n",
"\n",
"Plus d'informations sur le placement des graduations, [exemple Matplotlib][mpl ticklocators].\n",
"\n",
"[mpl ticklocators]: https://matplotlib.org/gallery/ticks_and_spines/tick-locators.html#sphx-glr-gallery-ticks-and-spines-tick-locators-py"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"hideCode": false,
"hidePrompt": false
},
"outputs": [
{
"data": {
"text/plain": [
"Text(0.5,1,'Chart Showing at One View\\nthe Price of the Quarter of Wheat, and Wages of Labour\\nby the Week, from 1565 to 1821')"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig1, ax1 = plt.subplots(1,1)\n",
"\n",
"fig1.set_size_inches(2.54*6, 2.54*3)\n",
"\n",
"# === représentation du prix du blé === #\n",
"ax1.bar(rawdata['Year'][:-2], rawdata['Wheat'][:-2], align='edge', width=5, color='dimgrey')\n",
"# bar de largeur 1 année pour les deux années 1820 et 1821\n",
"ax1.bar(rawdata['Year'][-2:], rawdata['Wheat'][-2:], align='edge', width=1, color='dimgrey')\n",
"\n",
"# graduation proche de l'original, avec les siècles comme majeure\n",
"# et une graduation mineure tous les 5 ans\n",
"# aide sur les ticks locator :\n",
"# https://matplotlib.org/gallery/ticks_and_spines/tick-locators.html#sphx-glr-gallery-ticks-and-spines-tick-locators-py\n",
"ax1.xaxis.set_major_locator(MultipleLocator(100))\n",
"ax1.xaxis.set_minor_locator(MultipleLocator(5))\n",
"\n",
"ax1.grid(True, which='both')\n",
"\n",
"# les marges de l'axe x sont diminuées\n",
"ax1.set_xlim([int(rawdata['Year'][0:1]), int(rawdata['Year'][-1:]+5)])\n",
"\n",
"ax1.set_xlabel('5 Years each division')\n",
"\n",
"# === représentation du salaire === #\n",
"# l'axe 2 partage l'axe x de l'axe 1\n",
"ax2 = ax1.twinx()\n",
"ax2.fill_between(rawdata['Year'], rawdata['Wages'])\n",
"ax2.plot(rawdata['Year'], rawdata['Wages'], 'r', linewidth=2)\n",
"\n",
"# les deux axes ont les mêmes limites, pour reproduire l'original\n",
"myylim = ax1.get_ylim()\n",
"ax2.set_ylim(myylim)\n",
"\n",
"ax2.set_ylabel('Price of the Quarter of Wheat in Shillings')\n",
"\n",
"ax1.set_title(\"\"\"Chart Showing at One View\n",
"the Price of the Quarter of Wheat, and Wages of Labour\n",
"by the Week, from 1565 to 1821\"\"\")"
]
},
{
"cell_type": "markdown",
"metadata": {
"hideCode": false,
"hidePrompt": false
},
"source": [
"## Graphique avec deux axes des ordonnées\n",
"Le graphique précédent est repris et amélioré avec deux axes distincts cette fois-ci.\n",
"Le jeu de couleur est changé pour un affichage plus lisible.\n",
"La conversion vers l'unité moderne est ajouté en légende de l'axe y, pour information."
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"hideCode": false,
"hidePrompt": false
},
"outputs": [
{
"data": {
"text/plain": [
"Text(0.5,1,'Chart Showing at One View\\nthe Price of the Quarter of Wheat, and Wages of Labour\\nby the Week, from 1565 to 1821')"
]
},
"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": [
"fig2, ax21 = plt.subplots(1,1)\n",
"\n",
"fig2.set_size_inches(2.54*6, 2.54*3)\n",
"\n",
"# === représentation du prix du blé === #\n",
"ax21.bar(rawdata['Year'][:-2], rawdata['Wheat'][:-2], align='edge', width=5, color='lightgrey')\n",
"ax21.bar(rawdata['Year'][-2:], rawdata['Wheat'][-2:], align='edge', width=1, color='lightgrey')\n",
"\n",
"# graduation proche de l'original, avec les siècles comme majeure\n",
"# et une graduation mineure tous les 5 ans\n",
"ax21.xaxis.set_major_locator(MultipleLocator(100))\n",
"ax21.xaxis.set_minor_locator(MultipleLocator(5))\n",
"# grille\n",
"ax21.grid(True, which='both')\n",
"\n",
"ax21.set_xlabel('5 Years each division')\n",
"ax21.set_ylabel('Price of the Quarter (8.6 kg) of Wheat in Shillings')\n",
"\n",
"# les marges de l'axe x sont diminuées\n",
"ax21.set_xlim([int(rawdata['Year'][0:1]), int(rawdata['Year'][-1:]+5)])\n",
"\n",
"# === représentation du salaire === #\n",
"# l'axe 2 partage l'axe x de l'axe 1\n",
"ax22 = ax21.twinx()\n",
"ax22.plot(rawdata['Year'], rawdata['Wages'], 'r', linewidth=2, marker='x')\n",
"\n",
"# les deux axes ont des limites différentes pour montrer que les axes sont différents\n",
"myylim = ax21.get_ylim()\n",
"ax22.set_ylim([0,myylim[1]/2])\n",
"\n",
"ax22.set_ylabel('Mechanics wages in Shillings/Week')\n",
"ax22.yaxis.label.set_color('r')\n",
"ax22.tick_params(axis='y', colors='r')\n",
"\n",
"ax21.set_title(\"\"\"Chart Showing at One View\n",
"the Price of the Quarter of Wheat, and Wages of Labour\n",
"by the Week, from 1565 to 1821\"\"\")\n"
]
},
{
"cell_type": "markdown",
"metadata": {
"hideCode": false,
"hidePrompt": false
},
"source": [
"## Représentation du pouvoir d'achat\n",
"\n",
"### Le pouvoir d'achat en équivalent blé acheté\n",
"Le pouvoir d'achat est défini ici comme la quantité de blé qu'un ouvrier peut acheter avec son salaire hebdomadaire. Soit $pp$ le pouvoir d'achat (*purchasing power*), défini comme dans l'équation suivante avec $p_w$ le prix du blé (*price of wheat) en Shillings par kg, et $w$ le salaire hebdomadaire (*wages*) en Shillings : \n",
"\n",
"$$ pp = \\frac{s}{p_w} $$\n",
"\n",
"Le prix du blé par boisseau est converti en prix du blé par kg pour une représentation plus moderne.\n",
"Le pouvoir d'achat sera donc exprimé en kg de blé par semaine.\n",
"\n",
"Pour rappel, les années 1815, 1820, 1821 n'ont pas de salaire hebdomadaire renseigné. Ces lignes sont retirées pour le calcul du pouvoir d'achat."
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"hideCode": false,
"hidePrompt": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"lignes supprimées :\n",
" Year Wheat Wages\n",
"51 1815 78.0 NaN\n",
"52 1820 54.0 NaN\n",
"53 1821 54.0 NaN\n"
]
},
{
"data": {
"text/plain": [
"1 1.048780\n",
"2 0.965111\n",
"3 1.040190\n",
"4 0.898612\n",
"5 1.067229\n",
"dtype: float64"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# === on supprime les années sans salaires === #\n",
"print(\"lignes supprimées :\")\n",
"print(rawdata[rawdata.isnull().any(axis=1)])\n",
"data = rawdata.dropna().copy()\n",
"\n",
"# === facteurs de conversion === #\n",
"quarter_to_mass = 8.6 # in kg\n",
"shilling_to_pence = 12\n",
"\n",
"converted_wheat = data['Wheat']/quarter_to_mass\n",
"purchasing_power = data['Wages']/converted_wheat\n",
"purchasing_power.head()"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"hideCode": false,
"hidePrompt": false
},
"outputs": [
{
"data": {
"text/plain": [
"Text(0.5,1,\"Pouvoir d'achat d'un ouvrier\\n en équivalent masse de blé hebdomadaire\\n de 1565 à 1810\")"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig3, ax31 = plt.subplots(1,1)\n",
"fig3.set_size_inches(2.54*6, 2.54*3)\n",
"\n",
"# affichage du pouvoir d'achat sous forme d'histogramme\n",
"ax31.bar(data['Year'], purchasing_power, align='edge', width=5)\n",
"\n",
"# les mêmes limites que précédemment sont conservées pour comparaison\n",
"ax31.set_xlim([int(rawdata['Year'][0:1]), int(rawdata['Year'][-1:]+5)])\n",
"\n",
"# graduation proche de l'original, avec les siècles comme majeure\n",
"# et une graduation mineure tous les 5 ans\n",
"ax31.xaxis.set_major_locator(MultipleLocator(100))\n",
"ax31.xaxis.set_minor_locator(MultipleLocator(5))\n",
"\n",
"ax31.grid(True, which='both')\n",
"\n",
"ax31.set_xlabel(\"Année\")\n",
"ax31.set_ylabel(\"Pouvoir d'achat en masse de blé hebdomadaire [kg/sem]\")\n",
"\n",
"ax31.set_title(\"Pouvoir d'achat d'un ouvrier\\n en équivalent masse de blé hebdomadaire\\n de 1565 à 1810\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Le pouvoir d'achat représenté différemment\n",
"Le pouvoir d'achat est ici représenté différemment, pour faire apparaître les variations des deux grandeurs qui ont servi à sa construction. Le prix du blé pour un quinquennat est représenté en fonction du salaire hebdomadaire pour ce même quinquennat. Les quinquennats sont représentées par une couleur."
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig4, ax41 = plt.subplots(1,1)\n",
"fig4.set_size_inches(2.54*6, 2.54*3)\n",
"\n",
"# ajout des marqueurs colorés en fonction de l'année\n",
"mypoints = ax41.scatter(data['Wages'], converted_wheat, c=data['Year'])\n",
"fig4.colorbar(mypoints)\n",
"\n",
"# ajout d'une colonne vertébrale aux poitn pour aider à la lecture\n",
"ax41.plot(data['Wages'], converted_wheat, '--', color='lightgrey')\n",
"\n",
"ax41.set_title(\"Pouvoir d'achat des ouvriers anglais sur la période 1565 à 1810\")\n",
"ax41.set_xlabel(\"Salaire en Shillings/semaine\")\n",
"ax41.set_ylabel(\"Prix du blé en Shillings/kg\")\n",
"ax41.grid(True)\n",
"ax41.set_xscale('log')\n",
"ax41.xaxis.set_major_formatter(ticker.ScalarFormatter())\n",
"ax41.xaxis.set_minor_formatter(ticker.ScalarFormatter())"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Ce graphique permet de représenter le pouvoir d'achat de manière indirecte. \n",
"L'axe des abscisses est de type logarithmique pour étaler un peu les valeurs basses de salaire. Mais comme on peut le voir ci-dessus, ce n'est pas lisible directement :\n",
"\n",
"* Le pouvoir d'achat est le plus élevé dans le coin inférieur droite, et le plus faible dans le coin supérieur gauche (ce qui est assez contre-intuitif : les valeurs élevées sont attendues conventionnellement en haut à droite);\n",
"* de plus la variation entre les deux coins n'est pas linéaire puisque le pouvoir d'achat est le salaire divisé par le prix du blé;\n",
"* enfin l'évolution avec les années n'est pas vraiment visibles.\n",
"\n",
"Si le but de la représentation est l'évolution du pouvoir d'achat alors cette représentation n'est pas adaptée. La représentation directe est plus claire, bien qu'il y ait une perte d'information par rapprot au prix du blé et au niveau de rémunération.\n",
"\n",
"## Représentation du pouvoir d'achat et des autres grandeurs sur le même graphique\n",
"Différentes représentations permettant de répondre aux problèmes relevés ci-dessus sont présentées ci après.\n",
"\n",
"### Représentation du pouvoir d'achat avec une couleur\n",
"\n",
"La représentation précédente est reprise, avec cette fois-ci la couleur des points qui indique le pouvoir d'achat. La représensation des années est réalisée avec des annotations. Afin de mieux comprendre l'évolution du pouvoir d'achat, des contours ont été ajoutés pour délimiter les zones colorés plus aisèment car le nombre de points reste faible.\n",
"\n",
"Le calcul est réalisé sur le jeu de données original, [les `NaN` ne sont pris en compte dans l'affichage][mpl nan] avec `matplotlib`. Cela n'est pzs gênant dans notre cas, car aucun calcul n'est fait sur ces valeurs.\n",
"\n",
"[mpl nan]: https://matplotlib.org/3.1.3/gallery/lines_bars_and_markers/nan_test.html"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"# === conversion de l'unité du prix, et ajout d'une colonne pouvoir d'achat === #\n",
"data_by_year = data.set_index('Year')\n",
"data_by_year['Wheat'] = data_by_year['Wheat']/quarter_to_mass\n",
"data_by_year['Purchpower'] = data_by_year['Wages']/data_by_year['Wheat']\n",
"\n",
"# === préparation des données pour les contours === #\n",
"wheat_v = np.arange(2, 12)\n",
"wages_v = np.arange(4, 31)\n",
"\n",
"# matrice de pouvoir d'achat\n",
"xx, yy = np.meshgrid(wages_v, wheat_v)\n",
"purchpower_mat = xx / yy\n"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
">"
]
},
"execution_count": 19,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# === tracé de la figure === #\n",
"fig5, ax51 = plt.subplots(1,1)\n",
"fig5.set_size_inches(2.54*6, 2.54*3)\n",
"\n",
"# tracé des contours de pouvoir d'achat\n",
"myCont = ax51.contour(xx, yy, purchpower_mat, linestyles='-.', colors='grey', levels=[1, 2, 3, 4,5])\n",
"ax51.clabel(myCont, inline=1, fontsize=12, fmt='%d kg/sem')\n",
"\n",
"# ajout des marqueurs colorés en fonction du pouvoir d'achat\n",
"mypoints = ax51.scatter(data_by_year['Wages'], data_by_year['Wheat'], c=data_by_year['Purchpower'], s=50)\n",
"cbar = fig5.colorbar(mypoints)\n",
"cbar.add_lines(myCont)\n",
"cbar.ax.set_ylabel(\"Pouvoir d'achat en kg de blé par semaine\")\n",
"# ajout d'une colonne vertébrale aux points pour aider à la lecture des années\n",
"ax51.plot(data_by_year['Wages'], data_by_year['Wheat'], '--', color='lightgrey')\n",
"\n",
"ax51.grid(True)\n",
"ax51.set_xscale('log')\n",
"ax51.xaxis.set_major_formatter(ticker.ScalarFormatter())\n",
"ax51.xaxis.set_minor_formatter(ticker.ScalarFormatter())\n",
"\n",
"ax51.set_title(\"Pouvoir d'achat des ouvriers anglais sur la période 1565 à 1810\")\n",
"ax51.set_xlabel(\"Salaire en Shillings/semaine\")\n",
"ax51.set_ylabel(\"Prix du blé en Shillings/kg\")\n",
"\n",
"# annotation pour les années\n",
"date_label = [1565, 1600, 1700, 1800, 1810]\n",
"\n",
"for year in date_label:\n",
" curxy = (data_by_year.loc[year]['Wages'], data_by_year.loc[year]['Wheat'])\n",
" curxy_txt = (data_by_year.loc[year]['Wages'], data_by_year.loc[year]['Wheat']-0.75)\n",
" ax51.annotate(str(year), xy=curxy, xycoords='data',\n",
" xytext=curxy_txt, textcoords='data',\n",
" arrowprops=dict(facecolor='black', width=1, headlength=8, headwidth=8),\n",
" horizontalalignment='center', verticalalignment='top')\n",
" \n",
"# faire un peu de place pour les date\n",
"ax51.set_ylim([2, 12])\n",
"\n",
"ax51.text"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Cette dernière figure est plus intéressante que la précédente, mais elle est chargée. De plus si l'information principale est l'évolution du pouvoir d'achat en fonction des années, cette figure rend l'interprétation complexe.\n",
"Cette figure est plutôt intéressante pour voir l'évolution du prix du blé et des salaires de manière précise. Mais la mise en relation de ces variables, a priori indépendantes, ne fait pas sens.\n",
"\n",
"### Représentation du pouvoir d'achat directe\n",
"\n",
"Pour la dernière itération de cette étude, le pouvoir d'achat est représentée directement en fonction des années. Et des informations secondaire et qualitatives sont données par la taille et la couleur des points pour les autres variables :\n",
"\n",
"* le prix du blé est codé par une couleur\n",
"* le salaire est codé par la taille des points\n",
"\n",
"Une ligne en marches d'escalier est utilisée pour relier les points et rappeler que les données sont moyennées sur 5 ans."
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Pouvoir d'achat minimum de 0.7444375 blé en kg/sem en 1595\n",
"Pouvoir d'achat maximum de 4.70952380952381 blé en kg/sem en 1785\n"
]
}
],
"source": [
"# === propriétés intéressantes === #\n",
"purchpower_min = data_by_year['Purchpower'].min()\n",
"purchpower_min_id = data_by_year['Purchpower'].idxmin()\n",
"purchpower_max = data_by_year['Purchpower'].max()\n",
"purchpower_max_id = data_by_year['Purchpower'].idxmax()\n",
"print(\"Pouvoir d'achat minimum de {} blé en kg/sem en {}\".format(purchpower_min, purchpower_min_id))\n",
"print(\"Pouvoir d'achat maximum de {} blé en kg/sem en {}\".format(purchpower_max, purchpower_max_id))"
]
},
{
"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": [
"import matplotlib.gridspec as gridspec\n",
"from mpl_toolkits.axes_grid1.inset_locator import inset_axes\n",
"\n",
"# === tracé de la figure === #\n",
"fig6, ax61 = plt.subplots(1,1)\n",
"fig6.set_size_inches(2.54*6, 2.54*3)\n",
"\n",
"# add a spine to scatter to ease reading of each year\n",
"#ax61.plot(data_by_year.index, data_by_year['Purchpower'], '--', color='lightgrey')\n",
"ax61.step(data_by_year.index, data_by_year['Purchpower'], linestyle='--', color='lightgrey', where='post', marker=None)\n",
"\n",
"# main data scatter plot with size and color link with variables\n",
"myScat6 = ax61.scatter(data_by_year.index, data_by_year['Purchpower'], \n",
" c=data_by_year['Wheat'], s=data_by_year['Wages']**2, cmap='coolwarm')\n",
"cbar = fig6.colorbar(myScat6)\n",
"cbar.ax.set_ylabel(\"Prix du blé en Shillings/kg\")\n",
"\n",
"ax61.set_title(\"Pouvoir d'achat des ouvriers anglais sur la période 1565 à 1810\")\n",
"ax61.set_xlabel(\"Année\")\n",
"ax61.set_ylabel(\"Pouvoir d'achat en kg de blé par semaine, moyenne sur 5 ans\")\n",
"\n",
"ax61.xaxis.set_major_locator(MultipleLocator(25))\n",
"ax61.xaxis.set_minor_locator(MultipleLocator(5))\n",
"\n",
"# do it before inset ax, otherwise function messes up axes\n",
"plt.tight_layout()\n",
"\n",
"# === wages legend = size of each circle === #\n",
"# add above all an inset axe (do it at the end otherwise, layout not compatible)\n",
"axins62 = inset_axes(ax61, width=\"15%\", height=\"40%\", loc=2)\n",
"# no visible axis\n",
"for direction in [\"left\", \"right\", \"bottom\", \"top\"]:\n",
" # hides borders\n",
" axins62.axis[direction].set_visible(False)\n",
"\n",
"wages_levels = np.arange(5, 35, 5)\n",
"wages_lx = np.ones(len(wages_levels))*0.5\n",
"axins62.scatter(wages_lx, wages_levels, s = wages_levels**2, color='grey')\n",
"axins62.set_xlim([0.1,1])\n",
"axins62.set_ylim([4, 36])\n",
"axins62.text(0.5,0.95,'Salaire en Shillings/sem', transform=axins62.transAxes, horizontalalignment='center')\n",
"\n",
"for cur_wage in wages_levels:\n",
" axins62.text(0.60, cur_wage, ' : ' + str(cur_wage), verticalalignment='center')"
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Prix du blé 7.44 Shillings/kg en 1595\n",
"Multiplication du prix du blé entre 1790 et 1795 = 1.60\n"
]
}
],
"source": [
"print(\"Prix du blé {:.2f} Shillings/kg en {}\".format(data_by_year['Wheat'][purchpower_min_id], purchpower_min_id))\n",
"\n",
"deltaWheat = data_by_year['Wheat'][1795]/data_by_year['Wheat'][1790]\n",
"print('Multiplication du prix du blé entre 1790 et 1795 = {:.2f}'.format(deltaWheat))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Avec cette dernière figure, l'interprétation est beaucoup plus simple, et il y a plus d'informations que sur la figure originale de W. Playfair.\n",
"\n",
"En effet on peut voir que le pouvoir d'achat des ouvriers anglais était très faible de 1565 à 1595, avec un minimum à 0.75 kg de blé par semaine en 1595, et pour la période un prix maximum du blé de 7,44 shillings par kg. Ce minimum est certainement due à la famine de 1586, qui a touché au moins l'Angleterre d'après cette page [Wikipédia][famines-fr], voir plusieurs pays européens d'après la même [page][famines-en] sur la version anglaise.\n",
"\n",
"[famines-fr]: https://fr.wikipedia.org/wiki/Liste_de_famines\n",
"\n",
"[famines-en]: https://en.wikipedia.org/wiki/List_of_famines\n",
"\n",
"Puis le pouvoir d'achat a augmenté jusqu'en 1790. Cette augmentation est principalement due à l'évolution des salaires des ouvriers, le prix du blé étant responsable des fluctuations mais pas de la tendance.\n",
"\n",
"Enfin en 1795, il y une **chute brutale** du pouvoir d'achat qui est due à **une multiplication par 1,60 du prix du blé**, et ce **malgré une augmentation du salaire**. Cette soudaine augmentation du prix du blé est peut-être due à la famine française de 1788 qui entraina la révolution de 1789.\n",
"\n",
"Le graphique précédent est augmenté de ces deux informations."
]
},
{
"cell_type": "code",
"execution_count": 36,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(1788,2,'Famine de 1788, Fr')"
]
},
"execution_count": 36,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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Ay51s9jjeZ78S7724INJS3/wdmYL3GarA+8x0OH91q1jex3svfxvZ9jy8aQ4bnHMNwAV4BfEqI8dv/f0sxhv3/bvI8o8i60bzv3g3TC7FmzKslv11JT6D93rsw0v838b7Djcf60/AA8BKvK7v9a2WD8P7W1eFV2SwEDjX7S8+2Na1wK1mthfvBk+0XhzN3o/EOhJvWEIt+3sL/ADve/sh3s2Uc/B6FXV6zs659XjfpQfxCkQOjMQmIiJJYgf2EhQRERGASEv820BqB+P+D3vmTYU1zjkX7YaHiIiIxEAt3yIiIhFm9sVIN/dsvNb4J/pz4i0iIiKJo+RbRERkv6vxuu9+jDfe+psdry4iIiISG3U7FxEREREREUkytXyLiIiIiIiIJJmSbxEREREREZEkCyT7AGa2EdiLN3auyTk3Ldq6ubm5rrCwMNkhSXdt3Qr57c2IJCIiIiI9Ttdmh63Vq1dXOOfyejuORDrWN8BVuVDS9v8R9c84585K2gESIOnJd8SpzrmKzlYqLCykuLi4J+KR7jDz/siLiIiISO/Ttdlhy8w29XYMiVblQtwZGJO0/Z/b9EFu0naeID2VfIuIiIiIiEh/ZWBBS97++8DEoD0x5tsBS81stZld1QPHk2T58Y97OwIRERERaaZrM5E+pSdavk9yzm01s6HAs2b2nnPuxeaFkYT8KoDRo0f3QDjSbbfc0tsRiIiIiEgzXZtJH2Jm+AJJbPnuA5Le8u2c2xr5txx4FJjRZvk9zrlpzrlpeXmHVU0BEREREZHkUbE1kT4lqS3fZjYA8Dnn9kZ+PhO4NZnHFBERERHpF1SoWPoSAwv275muk332w4CXzOxNYBXwpHPu6Xh2ePvtt3P00UczefJkpkyZwsqVKztc/+tf/zqPPPJIh+vcfPPNPPfcc/GEFZclS5YwdepUjjnmGCZMmMDdd98NRI9969atXHTRRQAsX76cc889F4D777+f6667DoC77rqLBx54IOGxvvrqq3zjG99I+H5FREREpItWr+7tCESkC5La8u2c2wAck6j9vfrqqyxZsoQ1a9aQmppKRUUFDQ0Nce/31lvbb4wPhUL4/f6499+RxsZGrrrqKlatWsWoUaOor69n48aNHW6Tn5/f6Q2Fa665JoFR7vf0009z1lmH9PR5IiIiIv3D+eeDc70dhUhsDI357u0AuqKsrIzc3FxSU1MByM3NJT8y1uXWW29l+vTpTJw4kauuugrXzh+iaOu0bmEuLCzk1ltv5eSTT+bhhx/m448/5qyzzuLYY4/ls5/9LO+9995B+923bx9z585l+vTpTJ06lccffxzwWqIvuOACzjrrLMaPH88NN9xw0LZ79+6lqamJIUOGAJCamsqnPvWpluUvvvgiJ554IkVFRS0xbty4kYkTJ3b4Wt1yyy3ccccdAMycOZMf/vCHzJgxgyOPPJJ//etfANTU1PClL32JyZMnc/HFF3PcccdRXFxMKBTi61//OhMnTmTSpEn86le/atnv888/z+mnn8769euZMWMGU6ZMYfLkyXz44YcALFy4sOX5q6++mlAoBEBmZiY//OEPOfbYYzn99NNZtWoVM2fOpKioiMWLF3d4LiIiIiIiIn1dn0q+zzzzTLZs2cKRRx7Jtddey4oVK1qWXXfddbz++uu8/fbb1NbWsmTJkoO2j2UdgLS0NF566SUuueQSrrrqKn7729+yevVq7rjjDq699tqD1r/99ts57bTTeP3111m2bBnXX389+/btA2Dt2rUsWrSIdevWsWjRIrZs2XLAtjk5OZx//vmMGTOGSy+9lAcffJBwONyyvKysjJdeeoklS5bwox/9qFuvG0BTUxOrVq3izjvvZN68eQD84Q9/IDs7m7feeoubbrqJ1ZGuS2vXrqW0tJS3336bdevWccUVVwBQUVFBMBgkKyuLu+66i+9+97usXbuW4uJiRo0axbvvvsuiRYt4+eWXWbt2LX6/nwcffBDwblDMnDmT1atXM3DgQG688UaeffZZHn30UW6++eZun5eIiIiIiPQBkXm+k/XoC/pU8p2Zmcnq1au55557yMvL4+KLL+b+++8HYNmyZRx33HFMmjSJF154gfXr1x+0fSzrAFx88cUAVFdX88orrzBnzpyWltyysrKD1l+6dCk///nPmTJlCjNnzqSuro7NmzcDMGvWLLKyskhLS2PChAls2rTpoO3nz5/P888/z4wZM7jjjjuYO3duy7IvfOEL+Hw+JkyYwPbt27v8mjW74IILADj22GNburU332AAmDhxIpMnTwagqKiIDRs28O1vf5unn36aQYMGtZznmWeeCcAJJ5zAT3/6U/77v/+bTZs2kZ6ezvPPP8/q1auZPn06U6ZM4fnnn2fDhg0ApKSktHRXnzRpEqeccgrBYJBJkyZ12s1eRERERESkr+uJeb4Tyu/3M3PmTGbOnMmkSZNYsGABl1xyCddeey3FxcUUFBRwyy23UFdXd8B2dXV1na7TbMCAAQCEw2EGDx7M2rVrO4zJOcff//73A7qLA6xcubKli3xz7E1NTe3uY9KkSUyaNInLLruMsWPHttxUaL19e13pY9W8n9YxRNtfdnY2b775Js888wy///3veeihh/jTn/7EU089xfe//30AvvzlL3Pcccfx5JNPMnv2bObPn49zjssvv5yf/exnB+0zGAxi5t2R8vl8LfH4fL6or4mIiIiIiBweNM93H2v5fv/991vGFoPXPXrMmDEtSXRubi7V1dXtFiOLZZ22Bg0axNixY3n44YcBL1l98803D1pv9uzZ/Pa3v21JZt94442Yz6m6uprly5cfdE494eSTT+ahhx4C4J133mHdunWA1708HA5z4YUX8pOf/IQ1a9bgnOOtt95iypQpAGzYsIGioiK+853vcP755/PWW28xa9YsHnnkEcrLywHYtWtXuy39IiIiIiLSz6jbed9q+a6urubb3/42u3fvJhAIMG7cOO655x4GDx7MN77xDSZNmkRhYSHTp08/aNtY1mnPgw8+yDe/+U1uu+02GhsbueSSSzjmmAMLuN90001873vfY/LkyTjnKCwsjDqevC3nHL/4xS+4+uqrSU9PZ8CAAS2t3sl27bXXcvnllzN58mSmTp3K5MmTycrKorS0lCuuuKJl7PnPfvYzVq9ezdSpU1tarxctWsTChQsJBoMMHz6cm2++mZycHG677TbOPPNMwuEwwWCQ3//+9z12M0FERESkXykt7e0IRKQLLJ6uzIk2bdo0V1xc3Nth9BuhUIjGxkbS0tL4+OOPmTVrFh988AEpKSkHrXvbbbcxbty4ljHiIiIiItLLnngCzjuvt6OQJDCz1c65ab0dRyJ9Kj3D3VN4ZNL2P/O9Nw/516xPtXxLYtXU1HDqqafS2NiIc44//vGP7SbeADfeeGMPRyciIiIiHbrnHiXfIn2Iku9+bODAgaingYiIiEgf9cQTvR2BSMwMMH/fGJudLH2q4JqIiIiIiESo1VukT1HLt4iIiIhIXxRjgV+RQ4KBTy3fIiIiIiIiIpJMavkWERERERGRJDPM179bvpV8i4iIiIj0sspqx9adjm2VjtoG8PtgyCBjRLYxIgcC/by7rsjhQMm3iIiIiEgvCIcd6zY5XnknzO594DNoaNq/POBz+HzgHBxTZBx/lI/sTCXh0kcZmL9/j3pW8i0iIiIi0sPKdzseeSlEVQ00htpfpykMhL2f13zkWLshxMxJxnGf8uHzGZx7bo/FKyLxU/Ldg6qrqykpKaG0tJTS0lLq6+sxM9LS0hg1ahQjR45k5MiRZGRk9HaoIiIiIpIk72wO8/hrYZqiJN3tCTsIh2DFOseHW0NceoqfoOb5lj7E6N1q52b2J+BcoNw5NzHy3BzgFuDTwAznXHEyY1DynWThcJiPPvqIV155hZKSEgKBAA0NDTjnDlhvw4YNpKSk0NTUxNixYznxxBMpLCzETF2LRERERA4X75d0PfFurTEEpTvhL8tDfO3OL2JLlICLxOh+4HfAA62eexu4ALi7JwJQ8p1EZWVlPPzww+zbt4+GhgYAQqH2/9I656ivrwfgo48+YvPmzWRnZ3PRRReRm5vbYzGLiIiISHJU1TgefbX7iXezphCU7YK3z/x3JiUmNJHkM3q12rlz7kUzK2zz3LtAjzV4KvlOgnA4zLJly3jttddoamrqfIN2NDQ0UF5ezt13382pp57KCSecoFZwERERkT7s0VdDRGmH6bLGECxP+QzDdjuGDtY1ovQF1qvdzg8F/bvcXBKEQiH+9re/sXLlym4n3s2cczQ1NbF8+XIef/zxg7qqi4iIiEjfULbLUbbTG7udKN/+5hhefDucuB2K9G25Zlbc6nFVbwfUllq+E8g5x8MPP8wnn3wSd+LdWmNjI++88w5+v59zzz1XLeAiIiIifcxr74W96uUJ9mGpo6bekZGq60M5tJmBJbflu8I5Ny2ZB4iXku8EevXVV9mwYUNCE+9mjY2NrFu3jjFjxjB58uSE719EREREkufDrY5kdGJMSYFlb3vTku3ZR0uCH/RD9gAYng3jhsPgAYk/toh0jZLvBNm5cyfLli1LSuLdrLGxkSeffJKioiIyMzOTdhwRERERSZy9tS7uImttpUVaurMG+tm+5+DljSEor4IdVbB+i5d8zxgHI7ITG4dIV5iv90Y9m9lfgZl43dNLgB8Du4DfAnnAk2a21jk3O1kxKPlOkEcffTRqJfNEampq4oknnuDSSy9N+rFEREREJH47qxwBP4Ri7HZemL2boQOrWbV5FAAThpWTk1ELeF13A36j0QUB8PmM0ZllZARq9x+vbjA76nIAcHjH3bkXlr4JRcPg+PEQVBYg/YxzLloC9WhPxaCCawmwfft2ysvLe6QgWjgc5uOPP6aqqirpxxIRERGR+MWadDcbNXgPI7OqD3reDIJBw+fzfm5PRqCOIWm7o8axYTs8/jrUNnQtJpG4RaYaS9ajL9A9rwR49dVXk9rdvD3FxcWcdtppPXpMEREREem6YKDricGO6vSWn9/ZPhS/D/KG+PHZ/jmJG3+yGIDN1SNa1i0cWNrhfkNh2FsHS1bD+dMgNdjl0ESkm9TyHSfnHOvXr+/RacBCoRBr1qyJad277rqLSZMmMWXKFE4++WTeeeedlmULFixg/PjxjB8/ngULFiQrXBEREZF+LW+QNwY7HkMGH5h4A1QceexB623cO5KNe0d2uC/nYF8dvPRefDGJdI03z3eyHn2Bku847dy5s1em/qqtraW2trbT9b785S+zbt061q5dyw033MD3v/99AHbt2sW8efNYuXIlq1atYt68eVRWViY7bBEREZF+Jz3VSI+jhTkzw/D7Oeia89+u7f6sSmEHpTth047uxyUiXaPkO05lZWW9knwHg0HKyso6XW/QoEEtP+/bt68l1meeeYYzzjiDnJwcsrOzOeOMM3j66aeTFq+IiIhIf3b0GCPWYak79g1gxz5vbjAzGJjpw9fOxn97aOtBzxUOLO2063mzpjC8+gFJmQJNpC3TmG8l3/GqqKigoaHnK1aEQiF27tzZ8vuVV15JcXFxu+v+/ve/54gjjuCGG27gN7/5DQClpaUUFBS0rDNq1ChKS2P7Qy0iIiISi+qaEG9/UMOqt6pZ++4+Srf33ypf04/0EessS++X5/J+eS4A6WnmlSxvx9QFtxz0XJq/njR/fcxxNTRBmTo/ivQIFVyLU2NjY68cNxwOH3Ds+fPnR133W9/6Ft/61rf4y1/+wm233caCBQvaHaPeGy34IiIicvj5aHMdjz9XyWtvVnvFxhxg0NTkyB8a5IIzczhh6sBuFSLrq3IGGkeNMt7b4mjqQvXzzIz2W70Bpj4wjzcuvyWuuJpC8G4p5OfEtRuRmPTmPN+Hgv599gng66UPkJl1+diXXHIJjz32GOC1dG/ZsqVlWUlJCfn5+QmNUURERPqXxibHf//vVv7vL7fw8uq9NDY6amrD1NSFqakN09Do2FjawB//sp2rbtxAybb+1RJ+znQfKTGM/T6hcAsnFHrXaQF/koMCyvck/xgiouQ7bhkZGfj9PfBXsQ2/3096enqn63344YctPz/55JOMHz8egNmzZ7N06VIqKysiHWweAAAgAElEQVSprKxk6dKlzJ49O2nxioiIyOGtKeS45TclrH57H/UNjnAH44hr6x2794a4/heb2bw19i7SfV1q0Lj0FD/BTvqe+i2M38IEAz0zHruu0et+LpJUGvOtbufxGjFiBIFAgFAozvkjunnsZldeeSXXXHMN06YdWPXyd7/7Hc899xzBYJDs7OyWKcVycnK46aabmD59OgA333wzOTnqbyQiIiLdc8+icj7aXEdDY2zZonNQVxfmpjtLuOvWsaSn9Y82ofwhxmWn+XlwWYimkDfvdjT+biQUNU37G2eKBm0hxXfgEMnqxgxK9g0HYNygzQR8TZjBpo3g98HgwYN1TShJ0nemBEsWJd9xGjFiRK+M+w6FQuTm5rb8Hm3M969//euo+5g7dy5z585NeGwiIiLSv+zZ28Sy16pobOpaM60D6hrCLF+5h7NPyU5OcIegkUOM687z88TKMJ9s88aAt9vC3Y08ZXP1iM5Xaodz3lS2mZmZ3dpeRDqn5DtOaWlpDB48mF27dvXocfPz83ttvLmIiIj0HOcca9dX8fjS7WzdXk84DEOHpPD504dy/GcGd6t1NNGWvryH7tZtrW9w/OPZSs763OB+Vfw1I9W4+HN+tu50vPpemPdLHP7IpZ2Zl3cHOrnUqxnScaK9oaqgw+UfVY2GyHEmHQWZnY9oFOm25qnG+jMl3wlw4okn8swzz/RYC3hKSgonnXRSjxxLREREes9Lr+/iN/duorqmidq6/f2TP95Uw9p3qggGfXzj0gLOPX1oL0YJTy7fHXN38/bs3Rfi/U/qOKqo/2V/+UOMC0/yEw47dlTB9kpHqG4gZnBWvrHyI6KOn29vnu/ucMCAtITsSkQ6oOQ7ASZNmsQzzzzTY8cLBAIthdNERETk8PTYM9u4689bqG9of1BwbV2Y2rowv1uwiZKyOq65bHQPR+gJhRx79nZc+2bahBDHjN9/Hg88GaCxyZhxdIhJ48L4fFCzt4QNG7witkVFRQBUVFRQVVXVL8Yh+3zGsMEwbLAB+2+mrP4kejG0qQtuiXuqMYCsDK9VcuPGjQAUFhbGvU+R9miqMYlbSkoKn/vc5wgGY5g7Ik7BYJAzzjhDXc5FREQOYyvf2N1h4t1afX2Yx5ZuZ/HS7T0QWTvHb/CS544cMz7M8NzoLePOQThK825dXR27d++OJ8Q+bdSQbg39jpnfB2MjuX44HCYc7sIk5CLSJWr5TpATTzyRdevWsWPHDlyS5oTw+XyMHDmSY445Jin7FxERkUPDHxZsiinxblZfH2b+X7dwzml5BDobKJxgaak+YsnXtlUY9z5+YEPFqvV+Vq33k5ZqXH3JMKYVDTpgeW5uLlVVVYkMt0/YsGED4PUAmDgaNu1ovyp6Ilq9nYMj8+PejUjnNOZbLd+J4vP5mDNnDoFA8u5nBINBvvjFL/arYiQiIiL9zXsfVVO+s6HL2zWFHK+s7vkWYp/PGJrT8fXPmvd8rHkv+mWnczB2VGqiQzss5A6EwQPaX3bJl+LLmn3mtXqnp8S1GxGJkZLvBMrNzeXLX/5yUrqfp6SkcPnllzNo0KDOVxYREZE+66llO2joQqt3s9q6cK91Pf/CGdmkpURvHHjjfT9vvO+Punx4bpDCke0n3z6fr98Pt5s5gZZK6K1l7CyLa78BPxx/ZFy7EOkCw3zJe/QF6naeYIWFhXz1q1/lwQcfpKmpKe5xM36/vyXxHjZsWIKiFBERkUPVth31Uatbn/iZANMm7r98e+ZfDbz/SZiRw3xcODuF1NSmli7LAMOHDycjI4Oamhq2bduWtMJlM2dkcd/fK6Iuz0jzTqim7uAL5LRU44LZ0WNS8S/IGgCfKYI3NkBTgoZk+31wygRIbdVmpEYekeRS8p0Eo0eP5rrrruPRRx+lpKSk21OQBYNBxo0bx3nnnUd6ev+bekNERORwUl5Rz4uv7WRnZSPBgDEqP53PHZ9DWmr0FuG2pk0MMHK4j9JtXc/AmguXJSP5Tk/zcdHsHP6+dBf1DQffObh0tleuu+2Yb78PcrICnDglM+ExHW4mFkB1HXy4Nf4E3O+DGeOgIPfA53Nzc9vfQCRB+koLdbIo+U6SgQMHctlll/H222/zwgsvsG/fvpiScDMjEAgwePBgTj/9dI48Un2BRERE+rIPPq7mngc38eZ6r3BY83zY6Wk+/ueujzn7tKFccUkBWQO9xDR/WCo+iz63c+m2ML95oO7A57Z7z00/Jotzzig6aJuMjAzS0pI7kfOcs3PYVtHIy2v2tpuAt+X3Q1amn9v+TwHBYPRu5eXl5QAMHdq7c5n3pKysrIOeM4Pjx0NaEN7a1H4Bts6Ygd/gxE/BuBEJCFREukTJdxKZGZMmTWLixImUlJSwatUqNm/eTHV19UHjwhsbGxk0aBCFhYXMmDGDESP0F1FERKSve/n1Xcz7nw/arVxeW+c998Sz23lp1S5+/9NJDMtL5fOzhvLU8grq6w/e5m9P1kc9Vnqajy/M7r0hambGty8bRm52gEefrcRs/42G1nwGwaBRMCKFm64dSdbAji9Hq6urgf6VfA8ZMqTd581g6lgYnQsvrOvaPgN+yB4AM4+GgVE6VLausi6SaGaa51vJdw8wMwoKCigoKACgoaGBiooKGhoaMDNSUlLIy8tLaqV0ERER6Vnr398bNfFuranJsbOygW/f+Db3/eoYxhUOIH9oKp9sqT1o3fKd0VuUg0Efx31mcNxxx8PM+PJ5uXx+5mCWvryHJ17YTV29Nw+4A4IB47hjBvBvs3IYX5jclvi+rLlmULRCc0MGwoUnwJ7rf8ywLCivgoDP6y3R3CLu93k3OkJhGJkDk8bAsCwvARKR3qFsrxcEAgFSUlIIhUKYGampqfj9sY/3EhERkUPfb+79JOa5usNh2L2ngSXPlXPx+flcd8UY/uvnByfuE4/0rhfe/iB0wPOpKT6u/dpo/B2Mp+zJXnVZAwPMOWsIF56Zw+6qENu3bcLng4V3jCU1pX+3fMVi48aNQMct0D6DrF/cwueBxibYWQ27qqGhETCve3ruQMjObL9Sukhv8Pn7990fJd89pL6+njfffJM1a9ZQUVGB3+9vma87HA7jnCMvL4/p06czceLEpExXJiIiIj1jY0kNn2yu6dI29Q2ORY+XMufcEXxmYhbfu7KQO+dvPCABP+147/qgdfKdmuLjK1/MZ/YpeR3uvzeKt/p8Rs7gAH7zCnkp8U6w/HzYupVgAIYP9h4ihyzrO1OCJYuS7yQLhUIsW7aMlStXYmYtRddCodBB65aVlfHUU0/x1FNPccopp3DCCSf0+3ktRURE+qKnl+2gqRsVsWpqQ7z7YTVHf2ogZ83MIy8nhd/8aSPlOxsOmPvbgLQ0H5kDAlzz1QJOO6nzKtXNY6czM3u+snh7BcRipWF5HSgu7u0IRKQL9NcsicrLy/nb3/5GdXU1TU1NMW3TnJyvWLGCt956i0suuYTs7OxkhikiItJvbCuv4+9LSnlt9S7q6sMMyPBz6kl5nD97BNmDUxJ2nLJtdbRznx2Ak44NMm2y14K98o1GXlvbyIAM48qL0/H7jIbaMjZs2AHAuDFDWHDnMbz74W7Ky7eSmR5m526YdfIQzjktjylHD2rpSdeZ5qrhvZF8NzQ0AJCS0vXXePTo0YkO5/CxerXX+p0g8dwkEYmFCq5JUpSUlPDnP/+55T+brmpsbGTHjh3cc889zJ07l7y8jruSiYiISHS1dSHm3fEuq9bswjlobNpfuGxzaQ0LFm3i7FnD+T/XjCeQgDGJHeXD0yYHGTXcT8m2KNl5O9seMSaDVL9XoGxs4WDOPC3xc3UnU0lJCaAq2gl3/vngOp/WLVbRqqyLSGIo+U6CnTt3xpV4N3POUVdXx3333cc3v/lNBg4cmKAIRURE+o/auhDX/OANtmytaXfqq4bInNRPL9tOWXkd/+/mSfjjTMAL8tMJBIympvYTo5JtIX593/4x4ftqHL++r4b0NB+//skRFBUd2DqdkpLSbxPXbdu2ATB8+PBejqTn9Favx86qrIvEw5tqrH+P+dY3K8HC4TAPP/xwS/fxRKivr+fRRx/FJfDOpoiISH/x/37/QdTEu7X6+jBvrt/DAw9vjvuY58waSneuMbMGBTmyaEDcxz+c1NTUUFPTteJ1fV12dnavJOAbN25sqbQuIomn5DvBVq1axa5duxKaKIfDYUpKSli/fn3C9ikiItIf7N7TyPKXKzpNvJvV14dZ9NgWmpq6XiyttRHD0vj0+PZ7rP1hYQ1/WHhwMpma6uPSL+THPIZbDl9NTU0x1wsS6UvMZ0l79AVKvhMoHA7z4osvJrTVu1ljYyPLli1T67eIiEgXLHmurMPx1+0Jh+FfK3fGfezvfmMsaWkHX2o1NnqP1gJ+GDE0lbNPHRr3caMZOXIkI0eOTNr+JXE2b97M5s3x98AQkUOLxnwn0AcffNDuFGKJsnfvXkpLSxk1alTM2/zyl79k/vz5BAIB8vLy+NOf/sSYMWMA8Pv9TJo0CfAqiS5evDgpcYuIiPSWN97afcA82W1d8aVMsrMOTJA3bG5i/XtVnHpSHps3bz6oBTIzM5OhQztPko8YM4Bf3DiBH972DvUNYSLDafnsdK/S+b9e9zLwlKAxfGgad847mtRUf1dOr0tSU1OTtu/O5OZ2PhWaiBzuTNXOezuAw8n69evjLrLWkcbGRt59990uJd9Tp06luLiYjIwM/vjHP3LDDTewaNEiANLT01m7dm2ywhUREel1dfXduyleU5uYm+nHTBjE/P85hgceLmHZKxUEfMa0SV7yvfrtEMGgj4s+P4I55+WTnpa8xBugqqoKgEGDBiX1OO2J55jBYDCBkRxmSkt7OwIR6QIl3wnUPI1GMnW1C9Kpp57a8vPxxx/PwoULEx2SiIjIISsnytzdc87NAOC+h6oPWubzwdfmeC210eaYbi5KVVhY2GkMo0ak81/fGc93/n0sr62pZGDaTsxg3g/GcOzkwXFXVo9VRUUF0DvJd319PdC91veCgoJEh3P4SPA8371VZV36CVU715jvRHHOsWfPnqQfZ8eOHe0+f+WVV1JcXNzhtvfeey9nn312y+91dXVMmzaN448/nsceeyyhcYqIiBwKzpw5jIz0g1uUC0YEKBjRfhtEMOjjlJPyOtxvOBxumZYpVpkDApz+2TzyhqSQm5PCjKnZPZZ497bS0lJK1UqbePfck9Dd9VaVdZH+Qi3fCdJTFSmjHWf+/Pkdbrdw4UKKi4tZsWJFy3ObN28mPz+fDRs2cNpppzFp0iSOOOKIhMYrIiLSm06YPoRAoGsJ7qgR6Ywfm9n5itIjysrKABgxYkQvR9JzhgwZEtuKTzyR0OM2X2cGAkoRJBk05rt/n30C+Xrog9Sd6Ueee+45br/9dhYvXnxAd6/8SDeloqIiZs6cyRtvvJGwOEVERA4FAb/xrSuKSE2N7f/p1BQf375SN6IPJbW1tdTW1vZ2GD0qKyuLrKyszlc877yEHldV1kWSS8l3gvh8vh4pCJKRkdGl9d944w2uvvpqFi9efEBl1srKypbxVxUVFbz88stMmDAhobGKiIgcCj5/xgguu6iAtE4S8NRUHz+4djzTjklut9uioiKKioqSegzp2xoaGmIr4rtkSfKDEUkks+Q9+gD1KUkQM2Po0KFJL7oWbX7OK6+8kmuuuYZp06Yd8Pz1119PdXU1c+bMAfZPKfbuu+9y9dVX4/P5CIfD/OhHP1LyLSIih62vX1LI+KKBzH9wI5tLaqjYFSLsvITbheHoTw3kG5eNZfKEGFob6Z2iZfHqymwp0ruaryd1k0YOJ6aCa0q+E6moqIiysrKkzfUdDAaj/hGONub7ueeea/f5E088kXXr1iUsNhERkUPdSTOGcNKMIWzYtI+1b++mti7Et/89wIyp2eQPT+/SvuKZt7q56nhPz32dktJ+5feeEMu86CIihzsl3wk0depUXn755aTt3znH0UcfnbT9i4iI9AdFYwZQNGZArx2/eb7tnk6+m2dliWkscYJlZna/gF13picTkUNTfy+4puQ7gQYPHkxBQUHL3J+JZGYcddRRpKd37c68iIiIHKx52qtow7k6s2HDBqBvdQveuXMn0DvJd3PBtO5cx3T3PZKui7nKuoh0S/++9ZAE55xzTlKmZwgEApxxxhkJ36+IiEh/VF9f31J4VJKvrKysZcowSaBzz03o7mKusi7SHWaYL3mPvkDJd4Ll5eXx2c9+NqGVz4PBIGeffXafLO4iIiIiEo/S0tKWngr9RW5ubmzDEhI8z3fMVdZFpFuUfCfBySefTFFRUUJawIPBIBMnTmTKlCkJiExERER6m8/nw9fPxz12RX/spTBo0KDYGl0SPM93SUlJ0mfukf7NfL6kPfqCvhFlH+Pz+ZgzZw7jx4+PqwU8GAwyefJkzjvvPKyPzF0nIiIiHSssLKSwsLC3w5BDWMw3HK66KvnBiEjCqOBakvj9fubMmcObb77JU089RSgUinkKMr/fTyAQ4Atf+AJHHXVUkiMVERHpf+ItYNoXx8WOHj26t0OQGDV3s++0oN+xx/ZANCKJ01fGZieLku8kMjOmTJnCEUccwSuvvMKaNWswMxoaGnDOHbCuz+cjEAjg8/mYPn06xx9/PBkZGb0UuYiIyOFtxIgRcW0fT1Xo8vJyoOfnvk5GQdhYDR8+vNeOfVgbORLaXFOKSPvM7E/AuUC5c25i5LkcYBFQCGwEvuScq0xWDEq+e8DAgQOZPXs2s2bN4pNPPqG0tJTNmzdTU1ODmTFgwADGjBlDfn4+hYWF+P3+3g5ZREREOhAOhwG6NXa7uroa6Pnku7LSu57Mzs7u0eMCcTUoaJpVkcODWa+3fN8P/A54oNVzPwKed8793Mx+FPn9h8kKQMl3DwoEAowfP57x48f3digiIiL92pYtWwAoKCjo1vYbN24E+sY83+GwY/1HtTTU7MCFofoDP5OPyiAnq+cuA2tqaoDuJeHx9lKQ2MVUYV2kj3LOvWhmhW2e/jdgZuTnBcBylHyLiIiIJE5jY2Nvh5B0tXVhnnlpN48/X0ldXZivnO2d88KnthMKweRPZXDh7BwmjEt+y/K2bduAvnGzoj/TtLaSXAbJrUqea2bFrX6/xzl3TyfbDHPOlQE458rMLKldkrqcfJtZNlDgnHsrCfGIiIiISJx27Grkxl9tobIqREOjNya4eWhwXb33w5r1+3j7wxouODObL5095JCdWSXeXgp9UU8PSWjWXGE9NTW1V44vEqcK59y03g6iIzEl32a2HDg/sv5aYIeZrXDOfT+JsYmIiIgcdpJd+KyqOsSP7thCZVUTkaHp7XJAfYPjH0srCfqNC2Z3v4hcMvWHXgptZWZm9spxY66yLtJNh+BNvu1mNiLS6j0CKE/mwWJt989yzlUBFwD3OeeOBU5PXlgiIiIih6fRo0cnddqv+Q+Xs2dvx4l3a/UNjr/9cxel2xuSFpN0TW1tLbW1tZ2vuHhx8oMRSRQD8/mS9uimxcDlkZ8vBx5PyLlGEWuUgcidgC8BS5IYj4iIiEjSZWRkxFWBOzs7u1eqhnemuibEa2uraQodvOyBJwM88GT7re6hsGPJsqTNriNdVFZWRllZWecrap5vkZiZ2V+BV4FPmVmJmf078HPgDDP7EDgj8nvSxNrv6VbgGeAl59zrZlYEfJi8sA5fu3bt4qOPPmLz5s3s3r0bMyM7O5vRo0czfvx4srKyejtEERGRw168807Hk3g3Fx9LxtzXz7+6h2i9Ohubonf3DIXghdeq+PoFeaSmJL4gkiqWJ8m0abB1a29HIRIj69Wpxpxzl0ZZNKunYogp+XbOPQw83Or3DcCFyQrqcFRWVsZTTz3VchezqampZVlJSQnvvfceTz/9NGPGjOHss8/WVA8iIiKHsOb/x7szfrt52q1keOOdGuobXLvLZhztNYevWu9vd7nfZ2zZ1sC40WkJjyueubrj6aFw2FPiLdKnxFpwLQ/4BlDYehvn3NzkhHX4cM7xwgsv8Nprrx2QcLfVXEzkk08+4e677+bUU0/lhBNOOBSLEoiIiPR5mzdvBuj22Ovm7Q+1wlQ1tdEHek8aF2Z4rmPSuP3r3Pt4EICTpoSYMLaR2r0lbNjgtXz7fD4KCwsBKC8vJxAIkJOT0624qqurge4VEktGD4HDxi23eI8E6a0q69JPGMmeauyQF+vt2seBfwHPAe2MIpL2OOd49NFHee+99zpMvNtu09TUxPLly6murubMM89McpQiIiL9T6z/L/c1aWnRL2zf/NAHdFyFLVqP0B07dpCent7t5Lu83Csg3FtVvA9b8+YlNPnW+yOSXLEm3xnOuR8mNZLD0CuvvMJ7773XrSkyGhsbKS4uZtiwYRxzzDFJiE5EREQONxOOSOe9j2ppaDq463nxO36K32m/y/nLa/28vj7AfT8fy4D0g9eJp9t4vOLtpdAX9VZrf3OF9d58v+Xw1ptjvg8Fsbb7LzGzc5IayWFm586dLF++PK65KRsbG/nnP//Z0lVLRERE+r5gMEgwGEzKvmefnEX7I7475vPBCVMz2028e1tTU9Nh21Mhmnir8XdXzFXWRaRbYk2+v4uXgNeaWZWZ7TWzqmQG1tetWLGCUCj+HvqhUIhXX32129v/8pe/ZMKECUyePJlZs2axadOmlmULFixg/PjxjB8/ngULFsQdq4iIiHSuoKCAgoKCpOw7OyvAMUdldHlYZdBv/NusQ2/qtP6qpqYmqYX5RHqDYZj5kvboC2KK0jk30Dnnc86lO+cGRX4flOzg+qr6+nreffddnOvOvecDhUIhiouLCYc7HqMVzdSpUykuLuatt97ioosu4oYbbgC8Kc/mzZvHypUrWbVqFfPmzaOyUvN7iohI/5CZmRnX+NYhQ4YwZMiQBEaUOFdfMpSMDsZ+t5WaYsw6cRBFBdGrnAcCgW5Vdpfu2bZtW8uUdCJy+Ij5L7OZZZvZDDP7XPMjmYH1ZaWlpfj9ie22tWPHjm5td+qpp7Z0Wzr++OMpKSkB4JlnnuGMM84gJyeH7OxszjjjDJ5++umExSsiInIoGzp0aFyVnbOyssjKyurWtsnu2puXE+T27xcwcICPzi5HUlOMk48dyJVzOn4tRo8eHdeY65EjRzJy5Mhuby9RaP506UsMr6pjsh59QEzJt5ldCbwIPAPMi/x7S/LC6tvKysriGusdbZ8dufLKKykuLu5wnXvvvZezzz4b8G4QtO7yNmrUKEpLS+MPVEREpB9oaGigoaGhW9vW1ta2FLZKljH5qfz6xkJmn5xFaoqRlrr/wtTn85Lu0SNSuO6rw7juq8PwJfnCNTU1ldTU1G5tG28vhcOa5vkW6VNi7T/0XWA68Jpz7lQzOwovCZd27Nu3r9vdxNvT1NTU6bif+fPnd7h84cKFFBcXs2LFCoB2u8RrTnEREekvNm7cCNAyj3VXNfckO9Tm+W4tJyvAVRcP4/Iv5vHKG9Vs3d5AfUOYQZkBPnN0RofdzNtq7gLd3SrcVVVeqaBBg7o+alFzT3cgwfN8a051STbTPN8xqXPO1ZkZZpbqnHvPzD6V1Mj6sER3OTczfHF8UJ977jluv/12VqxY0XLXedSoUSxfvrxlnZKSEmbOnBlnpCIiIn1DIm+SH+pSU3ycelx8pXriLf5VUVEBdC/5lp7TGxXWRfqTWDO6EjMbDDwGPGtmjwPq5xLFkCFDEjqFSCAQ6HZRlzfeeIOrr76axYsXH3DnePbs2SxdupTKykoqKytZunQps2fPTlTIIiIiIgmxcePGlp4K/cWIESMYEct47gS2eoOqrEvymc+S9ugLYmr5ds59MfLjLWa2DMgCVJ0rivz8/ITur6mpqdN9XnnllVxzzTVMmzbtgOevv/56qqurmTNnDuAVTFm8eDE5OTncdNNNTJ8+HYCbb76ZnJychMYtIiIiB+vu2Of+qj/1UmiWnp4e24r5+Qkd9908vOBQHk4hfZgZ9JEpwZKly3NGOOdWJCOQw0leXh4ZGRns2bMnIfsbNmwYAwYM6HCdaGO+n3vuuajbzJ07l7lz58YVm4iIiHSNqn5LZ6qrqwE6LzSXxKr5IpJ4mrAxCcyMk046iWeffTbuqufBYJCTTz45QZGJiIgIxD/2ODc3N0GR9A2JHE4nnSsvLwdiSL5F+pi+0j08WZKefJuZHygGSp1z5yb7eIeKY489ltdff73b83MD+Hw+RowYwVFHHZXAyERERCTe5Dme5L15as++1ALeenrS7hg1alSCIjm01TZA+R7YVQ1NIQj4ICcT8rIgQ6MNRPq9nmj5/i7wLtCvylv6fD7mzJnD/Pnzuz0PaEpKChdeeKGmABMRETnE1NfXA90bv928bX+SkpLS7W0P9QrpzsHmCljzsZd4B/xe4h123hDXgB/CYcgdBJ8pgjF53vMi/VI/n2qsw7M3s7mtfh5lZs+b2W4ze8XMjuxs52Y2Cvg80PEk1IepvLw8vva1r5GamtqlqcL8fj/p6enMnTv3kP8PR0REpC/asGEDGzZs6Pb2paWlLS3Y/UFZWRllcYwv3rNnT7dr4eTm5h6y3fxr6uHJ1bB0LWzb7SXcDU3ev+Al5o1NEArD9t3w7JuwpBj21fVu3NHEXGVdRLqls4zwulY//xJ4CMgB/h/wxxj2fydwA9D/ylRGjBw5kmuvvZaCgoJOx0uZGcFgkHHjxnHdddeRl5fXQ1GKiIiIRFdbW0ttbW23t9+5cyc7d+5MYES9b/c+WPQSlO70Wrpj0RSC0l2w6GWorE5AED/+cQJ2sl96enrsldZFusjMkvroC7rS7fxI59yXIj8/amY3d7SymZ0LlDvnVpvZzA7Wuwq4CrxpsA5HgwYN4vLLL2fjxo288sorbNy4ETNraQ0Ph8M45xg/fjwnnnhivxkXJSIiItKZ5h4Kh0t2RbQAACAASURBVNL0VzX18OhrUNeNurrOQX0jPLoSLj4JBqQdvE7M9QASPM93zFXWRaRbOku+R5nZbwAD8sws6Jxr/jPTWdnLk4DzzewcIA0YZGYLnXNfbb2Sc+4e4B6AadOmuS6fQR9hZowdO5axY8finGPnzp3s3bsXM2PQoEFkZ2f3mTs2IiIi0n1qWezbnINl67zu5fFoaILn34Lzph88BjzmWgIJnudbVdYl6fr5mO/Oku/rW/1cDGQClWY2HFjc0YbOuf8E/hMg0vL9g7aJd39lZof0+CURERFJHo2p7du2VMDWyv3jurvLOdi+BzbtgMKhBy6rqqoCYig2V1wcXxAi0qM6TL6dcwuiPL8N+K+kRCQiIiKSZFlZWXFtP3To0M5XOox0p6r74WrNhtjHeHemKeRVSW+bfFdUVAAxJN+rV3ut3yJ9hOb57gHOueXA8p44loiIiEhnhgwZEtf28XTL3bJlCxD/3Nk9Kd45yQ+Xuj51DV7V8kSq2OuNIe/WPODnn+81oYtIn9AjybeIiIjIoSQc9iZi6cpUoK01V/7uzvjtxsZuVOnq4wKB7l9yxttLIZF2VIHfD+E4x3u35vN584O3bf0WOeyYgWnMd4fMzAdc5Jx7qAfiEREREUm6jRs3At2voN085/WhVIE7mZrnNO9uC3hlZSUA2dnZXd423l4KibSrGkIxdjkfPmAXeRn7m8m378umvCabgK+JTw/Z3PK8AVUVsCd1CFlZWTQ0NFBXV0daWjtl0JMs3h4OItKxTm89OOfCHDjft4iIiIj0I/X19dTX13d7+8rKypYEvKvC4XBLT4Xe1hSKvdBaXsZuMoN1na7nOLjneFpaGoMHD+56gHFKTU3V+H5JLp8l79EHxNoH6Fkz+wGwCNjX/KRzbldSohIRERERIf5eCokU8HvX+LEm4NWNaazbcWDcTeHAAc+ZwXHjobl3fUpKSq+da8xV1kW6ydTtPCZzI/9+q9VzDuj9v4IiIiIifUhGRkZvhyAd2FXt+LgM9tV5c3FnpEJ2JhyZDzmZFvOY7/UVhTEdL+D39n8oiLnKuoh0S0zJt3NubLIDEREREekPhg8f3tshSBvhsOPjbfD6h17xM+cObN0O+uG5N+GokS4y5rvzLq5hF1sLXzgMQ7tbUy4yFl+kTzD6TPfwZIkp+Tazr7X3vHPugcSGIyIiIpJ83Sn81Vp/S6C7U9W9r6iuczz0ElTXQmOUYmrNz7+zBVKCXoXyzowYsBOAsn0dF4zLHdTNacZA83yL9DGxdjuf3urnNGAWsAZQ8t1Ne/bsYd++fZgZmZmZDBw4sLdDEhER6TfiTb7j6Tq+ebNX6bovzH29eVsTS1fWsrEsjfpGR1qwkiNGBThjRjojh8Y+fVhhYWHygoxDVY1j4XKob4xtHHfYeV3RU4MOs45b8HIz9gAdJ98BP3wmnkGc9/x/9u48vu66zPv/6zpL9iZtuqZJS1uWslNoS9lECiKiLIp4q4OKMAg6juPt/G5Gx1kUnbl1vF1Gb2dUBAd+OjqKKAKOgrLL3rKVAgJ2T5OmSdOkbbazXPcfJylpm+V7tpyck/fz8TiP9pzz/X6+V5U23+v7+Xyu60a4+OIsBhCZSIZl2N6xVARddv6J4e/NrA74YV4iKmHxeJyXXnqJRx99lF27dhEOh/d/Pm/ePM4880yWLl2acc9RERERCSYeT23azbT/dE9PD5BZEj507cnsta0xfvjfe2nvShCPH5iY7tiV4Mn1/TTMDPOht9ewaH503PGyubfJ9kHJaPoGnJ8+An2xQ6uNjyWZTL1CofET8LGYwbzpcNjsjIeAu+7K4mQRmWiZ/cSBHuDIXAZS6jo6Orj11lvp7+9nYGAAOPCHb3NzM3fccQc1NTVceeWVKnQhIiKSR0Ozz5lWlW5tbc3q/Mlszct9/ODOvQwMe0ZwwSmpftX3PDOdpKcKjm3ZkeArP+ziY++u5YQjysYcs6MjtQQ7k57d+Uq+n3oV9vWnl3gP6Y9BZTm4Z56Al0Xg3BNSSXjGLr44pwl4U1NTzsYSGVFW/8EXv0CPIc3sLjO7c/B1N/BH4Ff5Da10dHZ2ctNNN7Fnz579ifdIBgYG2L17N9///vfZu3fvBEYoIiIiAq9uiXHzQYk3wLTKBNMqD90QPRCH79zezabtsTHH7erqoqurK6OY4vF4zlcLJJLO85sgkUX78L79t3TpZe9mUB6Fd62C6orMrw/A3XdnOcCBysrKKCsb+0GKiGQu6BqgrwJfG3x9CTjb3T+Tt6hKiLvzox/9iP7+/kDHJ5NJenp6+NnPfpaT6z/88MOccsopRCIRfv7znx/wXTgcZtmyZSxbtoxLLrkkJ9cTERGR4uTu3PrrPcTSzHMH4vDD3+7LT1CkVikMrVTIlde2ZzbjPZw79PanlqBHQsEGi4ShsR7ed9bkaS82XDYPSUTGZaSqFebrVQSCLjtfA/S6e9LMjgJOMbMd7j72Y05h8+bN7N27F0/jX/hkMklLSws7d+5k9uxsNgKlirnccsstfPWrXz3ku8rKSp577rmsxhcREZH01NRMwqwL2Lg9TueezKaCt++Ms709zvxZme5onFhrXx+9snm6Egk4djHs7IYdu1MJdjwB63YuIWSp5eXxRKqd2ClLYOHsybvydmh7QF1dpr3PRGQsQf+FfBh4k5nNAO4jlYy/F7giX4GViscee2zMpeajSSQSPPHEE1ycZQXLoeqiKuImIiIyOcyZM6fQIYzo3id70571HpJIwO+f6uVDby+O7i27e3I3VjwB4RC8cxX0DsDOLti1N/V5JJya4Z6dTTsxkZJhk/fJ0wQJmpGZu/cAlwH/193fBRybv7BKx4YNGzI6z9155ZVXAh9/zTXXsGbNmrSu0dfXx4oVKzjttNO444470g1RRESkaM2cOTOj4l9DGhoaaGhoyGFEhbdxe3zUpdgtu8po2TX6XuCkw4Ztk7+K+5AgW8ibandx5Mwd+98vm7eFlY0bD3gtmdGGk0q6N23aRMu2DcT3bKDWN1Ade5mmae0cNluJt4ikBJ35NjM7ndRM95+nee6UlUgkSCYzr+SRzoz5TTfdlPb4W7ZsYf78+WzYsIFzzz2XE044gcMPPzztcURERIpNtstqKysrMz5306ZNwOTrfT0QG32L3KMvp2a037Gyk8qyA+9ttuws56lXa+gbcDZt2nTIvU9tbe2kqwofDkN8nFu0hmld1Ff28FrH3HHHKxvhrri8vDz/Kw8vuii/44vkmPp8B/NJ4G+BX7r7ejNbAjyQv7BKQygUSmuv90jn59P8+fOBVJuUc845h2effVbJt4iITAlDD7gzrew81JUkk/3b2TyYz6eyqJFu5e7hysvys5w0mxUKo6mIptqFjWdX7xt93J9rXTjiMZFwama7IA9T1OdbpKgESr7d/WFS+76H3m8A/ipfQZUKM6O6upp9+zKrAJrPYhednZ1UVVVRXl5Oe3s7jz76KH/zN3+Tt+uJiIhMJtu2bQMy79Pd1tYGTN7iaZlY1BBhV/fAmFXAf/30yD23QwZLGiN5SUDzcT903EJ48tXsWo0NcYcjCrUDIcd9vhcuHPkBg0hOGGBTe+Z7av/pJ8Cpp55KJJL+Cv1oNMrpp58e+PjR9nw//fTTNDU1cdttt3Hddddx3HHHAfDyyy+zYsUKTjrpJFavXs1nPvMZjj1W2/hFRGRiuXtWq8Qkd956WuWIy6eDCIfhLadmvhR/LAMDAxkVrx3LiYtyN9aCWTCtskBFpK69NqfDRSKRjO5bRYKx1JO6fL2KgP525dny5ct55JFHMjr3+OOPD3zsaHu+V65cuf/p/nBnnHEG69atyyguERGRbOzdF+eeR3bxy3t20tEZw4H66RHeef5s3vbmmdTW6PakEJbMj1BXE6KtM/3p4IZZYRpn5+f/t2xXKYykusJYNMf5U+vox/TFo+OOEw3DiiNzFlb6li/P6XCdnZ0AzJgx8goHEcmOZr7zrLq6mlWrVhGNjv8P+JBoNMp5552X1jkiIiLFYO26bq741EvcensLO3fFSHpq2W5HZ5wf/bKVD3xqPY8/01XoMPOqtraW2traQodxCDPjQ++oSXv2uywCH3hb8S2/P+OY1H7t0azb0cS6HU2jfh8yqK+BhbPyEFxQjY05Ha6zs3N/Ai6SawaYhfL2KgaBojSzo8zsPjN7cfD9iWb29/kNrXScd955HHvssYGS6Wg0ysqVK1m1atUERCYiIjJxXnhlLzd8ayN9/Un6Bw5dat4fc/oHnC99ZxNr1nUXIMKJMWvWLGbNKmTGNrqjDyvjyouCJ+BlEbjuslqWNBbfhMGcOuPty8dOwEdjBtUV8O4zUw8tRESCCPqI4Pukqp3HANz9BeB9+Qqq1JgZl156Keeeey6VlZUjVlYtKyujpqaGCy+8kPPPP78AUYqIiORPMplKqkdKug/WP+B8+TubSSTytxc82wS4sbGRxhzPOk4Wq46r4K/eV8vc+hBl0VSiOVzIUkl34+ww/98H6jjpyMwqxk8GR85/IwE/OIU+elYLR89qOeSccAhm1MAVb4bKPFV4FylJhvZ8Bzyuyt2fOujJXjwP8ZQsM+O0007j1FNP5bXXXuOZZ56hu7sbM2P69OksX76cJUuW6OmpiIiUpGfX76G3L/he4njCefK5Ls5YPj0v8WSz7NvdcaJEo5n9zN6wYQOQ2z3MuXb0YWX888fq2bg9xr1P9rK5JU5/zCmPGksao7x1VSUL55XG3vwj5xt/Vu08/kfY0Jp62BBPwLTyvgOOi0YgEoKTD4cVh0M0ons2kWJiZp8EPkLqMcD33f1fJzqGoP9qtpvZ4Qw2fzSzy4FDHwXKuEKhEEuXLmXp0qWFDkVERGTC/PbhjrSS796+JL9+oCNvyXd/fz8A5eXlgY53d9a92sedD3Sx7rVejlwQhyTs6avg0vOmc+bJ1ZSXFceew3Qsnh/luncVdkn5RCzRn11nXHIq9PQ76zbB+q2piTQHaipSM93Lj4DFcyGkiRKRDFnBWo2Z2fGkEu9TgQHgt2b2a3d/bSLjCJp8fxy4ETjazJqBjcAH8haViIiIlJT2XbERPz/tROPkY1I3Y2teTPL0eqe6Ej50SZjKit79s8QAM2fOpK6ujoGBgf0VsKdPn059fX3a8TQ3NwPBZp+79ib44nda2NERp68/tRT+tONSf55b/zvCf/yig1vv2MVnr53L0sUVacciY5vI4nRV5caqpbBqKQz9p/emFVMn2c5Hn3aRSeIY4Al37wEws4eAdwFfmcggAj16cPcN7v4WYDZwtLuf5e6b8hqZiIiIlIxodORbjpOPCdE4Z+RzxtuK1dfXx+7du7MNbUz7ehN89hvb2bYjtj/xPiSOAaenL8kXv9vKa5v7RjxGMtff379/pYIc5M47czpcKBQiFCq9FRwyiZjl7zW2F4GzzWymmVUBbwcW5P3Pe5BAM99mVg68G1gERIZ+GLr7F/IWmYiIiJSMZcfU8PLr+xiIHZrANrfBd36a2P9+Xy/cdHuSd10wk7eunn/I8WVlZSxZsuSAWfF8ufn2DnZ1xUkkxj+2f8D58vd3cOMNCwmHp85sab6ls0ohl4JuSSioHPf57ujoAFKrTESK0CwzWzPs/Y3ufiOAu79sZv8C/A7YCzxPAWqYBV12/iugC1gL6NGjiIiIpOXtq2fy4zt3pHXOxecVth3X3p4ETzzfQzxA4j1kIO6sfamHU0+oHvWYurq6HEQn+VYU1exXrIDt23M2XFdXF6DkW/Iovysr2t19xWhfuvvNwM0AZva/gW35DGYkQZPvJnd/W14jERERkZI1vTbKOafN4OGnOg9oN3bT7YdmtmVRY9WyWubMHLuFVb4LcT3w1N4AKxkP1Nfv/Or+rjGTbyU2kjM5TLxFSp2ZzXH3NjNbCFwGnD7RMQRNvh8zsxPcfV1eoxEREZGS9cmrmmjd2c+rG3v2J+Cxgxb9lUWNxQsquf7aw8YdL5tCXHPmjLLRfJg/bekfcZk8wC8fSi1JPm5xnBXHHFhMLhTqIx6fQyQSobOzk87OzgO+r66uZvbs2dpbO8kNLXef1DPgn/986iVSDKxw1c4H3W5mM4EY8HF37xzvhFwLmnyfBXzYzDaSWnZugLv7iXmLTEREREpKNBLiy39zBD+5s5Vf/m4nySQsP9bBYe3LqSnmi8+bxQffNY+yUQq0DZduu7Dhampqxj1mtMQboHvfUHwjtE/z0c8D2LdvH9FoNKMq7TJxiqLI2w03KPkWCcjd31ToGIIm3xfmNQoRERGZEiIR44OXNfD+S+bx1PNdhD21D/ycM+eyalltoKR7SDaFuHp7ewGorKwc9ZgZdWHMxs6l12+MsH7jgbdTM2rDvP0tqc9mzJjBjBkz0o5P3hBklYKIFInQ1C5GGSj5dvfNZhYG5gY9R0RERGQ0kYhxxvLpbNiwC4AlS6ZP6PVbWloGrzt64v6mU2p46Om9B+xRH08kDGevGH2/t6QvyCoFyY2JrigvU1Bhl50XXNBWY58APgfs4I31VQ5o2bmIiIiUpKWLy6mrCdO2K3g3GjPjgrNUzTyXgqxSEBEpBkEfPXwSWOrux7n7CYMvJd4iIiJSssyMq941k7JosGWSZVHjTcurmT1DiwRzqaWlZf9KhYlUWVk55RL+9vZ22tvbCx2GlDKz/L2KQNDkeyupPt8iIiIiU8aK46v44CX14ybgZVHj+CMruPY9he1NXioGYs6zf0py2yMJduyGHbvhl48leK3ZSSaDbwPIRkNDAw0NDRNyrYzlOL7u7m66u7tzOqaIvCHoo9kNwINm9mtS1c4BcPev5yUqERERmRKy2WM6UYW43nZWLQ2zo/zn3bto3hEjkXASg5vwKsqN8qhx6bl1vOPNdYSmeDGhbHXtcx57OcmLm1MTWbE4zB7sOvfKNtjQmiQcghVHGiuPSv1vP6Wpz7cUEzOY4i0WgybfWwZfZYMvERERkYLKphDXvHnz0jr+pKWVnLS0ka0tA6x9qYc9+5JUVhiHLyjnpKWVSrpzoLnD+a+HksQTMNrk9sDg9vvHX3Ze3OxccU6IaVX5+d9+69atACxYsCAv4+eE+nyLFJWg1c5vADCzanffl9+QREREZKoY2l86a1b6y7WzKcRVVVWV9jkACxrKWNCgeYhca+10fvJgklgi2PHxJHTtg1vvS3L1W0NUlec+AY/FYjkfU2TKK5K92fkStNr56cDNQA2w0MxOAq5z97/IZ3Clqquri6effpqtW7diZixevJjly5erlYaIiEw5Q/tLM0m+g7QLG01PTw+QeRIuuROLp2a8R0u8X2mbPeLnSYd9ffCLx5J8YHU4jxFOYjme9Q5N8SXBIvkW9G/YvwIXAB0A7v48cHa+gipV7s7999/Pt7/9bZ544gm2bNnC5s2b+cMf/sA3v/lNnnjiiZxf8+GHH+aUU04hEonw85///IDvbr31Vo488kiOPPJIbr311pxfW0REZLJqbW2ltbW10GEI8PJWJ54c/fvO3io6e0d+SJJ0aNkF7d0TU4Rt0pk/P6fDLVq0iEWLFuV0TJEDWCh/ryIQOEp333rQRwEXBsmQRx99lCeeeIJ4PE4i8cb/fPF4nHg8zv3338+zzz6b02suXLiQW265hT/7sz874PNdu3Zxww038OSTT/LUU09xww030NnZmdNri4iIiIzn8Vec2Bit1GdU9jCjsmfU7xNJePrVMbL3UlaAFmwikrnArcbM7AzAzazMzP4X8HIe4yo5AwMDPPzww2PuH4rFYvzud78jmczdD5BFixZx4oknHrKM6J577uH888+nvr6eGTNmcP755/Pb3/42Z9cVERERGc+OTmfP6Hk1AEfP2cnRc3aO+r07rN8M8URuZ7+rqqqm3LaEtrY22traCh2GlKqhauf5ehWBoFF+FPg40AhsA5YNvpeA1q9fH+i4RCLB66+/nvb411xzDWvWrAl8fHNz8wHVO5uammhubk77uiIiItkIhULaZzqFdezxnNVf2teXm3GGzJs3L+2q+MVu79697N27t9BhiJSsoK3Gku5+RV4jKXHt7e2BqmYmEgl27dqV9vg33XRTWse7H/p02KZ49UEREZl42ewvnWqJUSnqj6VmrsdTV9HH6YdtZn3rXLr7K5hVvY8jZ7Xv/z5k0NoMFYc1Ul5eTnd39/5K+tOnT6e+vj5ffwQRSccUzzeCPmp+0sxuM7MLTRlaRqLRaKDjzIxIJOgzkcw1NTXt718JsG3bNubnuGiHiIhIPmWzLLihoYGGhoYcRyTpKouMfy/e3FVLV1/FuGONNE5fXx+7d+/OKLYtW7awZcuWjM4VERlJ0CzvKOAtwNXAt83sp8At7v5q3iIrMUcccQSPPfZYoNnvTFqmpOuCCy7gs5/97P4ia/feey9f+tKX8n5dERGR4Yb2l86ZMyftc7NpF5ZJb3DJvbpqA8ae+t6yewZbds844LP2fdW076ve/z4cgk+dEiIaSWXgtbW11NbWsmHDhoxji8fHqAI3WXzuc4WOQCQ9RVKVPF8C/ek95Xfu/n7gGuBK4Ckze2iwB7iMo7Gxkbq6ujGPCYVCNDY2ZrQ0arQ9308//TRNTU3cdtttXHfddRx33HEA1NfX8w//8A+sXLmSlStX8o//+I9akiUiIhMumz2m2bQL097WyaFxJpQHWxw4KjM4qpH9ifeUkuM+35FIZEJWYMpUZam/sPl6FYFAf7vMbCbwAeCDwA7gE8CdpAqv3QYszleApcLMeO9738vNN99Mf3//IXuuQ6EQlZWVXHbZZRmNP9qe75UrV7Jt27YRv7v66qu5+uqrM7qeiIhIMRuaca+pqSlwJFObmbFqqfHQOieWYRPbSAhWLR15PqmpqSmL6IrA/PmwfXvOhlu4cGHOxhKRQwV9tPU48EPgne4+PJNbY2bfzX1YpWnWrFlce+213Hvvvbz++uuEw2EgVWTtmGOO4a1vfatuAkRERGRKOWGR8dCLmbUJM4PpNdBQ/8asV08/vLwNNrRBf6wMB8rCML8ejl8IM6pHH6/opNHpRqTgjKJpCZYvQZPvpe7uZjbNzGrcff86LXf/lzzFVpJmzJjBe9/7Xnp6emhra8PMmDt3LhUV4xcSERERESk1FWXGu88I8fNHk8TTnP0uj8B7zkrdzHfsgadfh+2pcjYkkjCzoiv1XW8de5rhtRaor4Hlh8OCmWOPXRQTImvXpma/c2RoG4c6CYjkR9Dk+zgz+yFQD5iZ7QSudPcX8xdaaauqqsqqvYqIiEgp0P5SAVg8z7j0tBC/eiJYAm4GFVG4YnWIumpj8064fx3EkwceN7eqA4COvjqcVEK+sxt+9zycvBiWLRp9q2gmRQAn3CWXBOvVFtBQEUORfHDAi2Rvdr4E/Yl3I/DX7v4AgJmdM/jZGXmKS0RERKaAbPaYqlVYaTmq0fjguSEeeCHJ1p2pzxIHJdPRcCrXPHoBrD4xRE2lsbUd7lt36LFjSSThuY2pxHvZopz9EURExhQ0+a4eSrwB3P1BMyulHTMiIiJSZLJpF9bY2JjDSCRX5s0w3v/mMF37nLWvJ/lTC/THUklyZRmcuNg4/jCjoiw1e7a3D36fZuI9JJ6EZzfA7GmpqusH27RpE4BWKorkjE35VmNBk+8NZvYPpIquQary+cb8hCQiIiJTRTZ7TIdahWWyN7e8vDztc2Ti1FUb554U5tyTxj5u/VZIZpB4D4knYe3GkZPvZDYDi4iMIGjyfTVwA/ALUnXqHgauyldQIiIiMjVks8c0m3Zh3d3dANTW1mZ8fSmsRDJV1TyZ5Zbn9m7o7oHaqtzEVcyi0SybrouMRzPf43P3TuCv8hyLiIiIyIRob28HlHwXs41t4x/zauf4NQXc4cWtcMbSHARV5BYsWFDoEERKWqDk28xWAJ8FFg0/x91PzE9YIiIiIiKja+2E2DiV0eM+/q1u0qGlM0dBTbTm5kJHIJIWVTsP5j+B64F1gDbAiIiIiEhB9Q6Mf8zsyk4aq3cykDzwlveVXYtIEmJuZQczK7sIh2DDhje+X7JkSXGsishxn++WlhZAnQRE8iVo8r3T3e/MayQiIiIy5WiPqWQqFGDrqOGHJN4jH3eoWbNmpR/URLvxRrj44pwN19vbm7OxRA5hqnYeNPn+nJndBNwH9A996O6/yEtUIiIiMiVks8dU7cKmtqqy8Y9p662nrbd+1O939M5kR+9MZtXCqiU5DG6i3HVXoSMQkTQETb6vAo4Goryx7NxJVT8XERERmXDZtAtramrKYSRSCIvmwCvbIT7Ovu/xREJwRPqd7iaHiy9WAi7Fpcj3fJvZt0b4uAtY4+6/Gu/8oMn3Se5+QlqRiYiIiIwjmz2m2bQLKysLMG0qk9q86VARhb1ZJt8OHFWsW5zvvrvQEYikJ8h+kcmtgtSk9G2D798NrAf+3MxWu/v/HOvkoMn3E2Z2rLu/lHmcIiIiIgfKZo9pNu3Curq6AKirq8v4+lJYZnDiYfDUaxDPsBywAYvnQLlKDwDZrSYRmSKOAM519ziAmX0HuBc4n1Rx8jEFTb7PAq40s42k9nwb4Go1JiIiIsWoo6MDUPJd7I5qgBc2w76+1Ax2uiJhOKUY93rnieooSH5ZKbQaawSqSS01Z/D38909YWb9o5+WEjT5fluGwYmIiIiI5EU0Ahcth18+BQOx9BLwSAjeehLUVeUtPBEpPV8BnjOzB0lNSJ8N/G8zqwZ+P97JgZJvd9+cTYQiIiIiIvkwrRLedSrcvRb6BsZfgh4OQcjgwpNh7vSJibFYNDc3A5oBlzwxir7VmLvfbGb/DZxK6k/0WXffPvj19eOdH3TmW0RERCTntMdUcmFaJbzndHi9FZ7fBD39hybh0XAq8T5+IRzdCJWlUHPvootyOlx//7irZkWmNDP7grv/I/CrwfchM/tPd78iyPlKvkVERKRgRO4u2wAAIABJREFUsplhU7swGS4STiXVS+fDzm7Y0p5KwpOe6gk+bwY0zUzNepcMtRmTIuNFPvMNLDSzv3X3L5lZOamq588EPVnJt4iIiBSlbNqFLVy4MIeRyGRiBnPqUq+Spz7fIhPtKuA/zexvgdXAb9z9G0FPzij5NrPfAzHg39xdDQYnsVtuuYXrr79+/8zCX/7lX3LNNdcUOCoREZGUbPaYZtMuLBLR/IOUgGuvLXQEGfNEnOSuVpI7t5Ps3gXxGEQihGqmE5rVSGjmPCxaCnsD5A2WejpWhMzslGFvvwl8D3gUeMjMTnH3QLPfmf7k+RDQAJyW4flTnrvT1tZGKBRi1qxZWB7/Q3zve9/Lt7/97byNLyIikqls9phm0y6ss7MTgBkzZmR8fZGCW748p8NVVlbmdLyDuTvJ7RsYeO4Rktv/BOEoeDKVeA8JRyAUhniM0NwFRJedTXjBUVio6JcrS3H72kHvO4FjBz934NwggwROvs2sEljo7n8crOi2HVgb9Hx5w+7du/nhD3/Inj17AKivr+eDH/wg1dXVBY5MRERkalDyLSWhsRE8kw7nI2toaMjZWAdLtG6m//7b8N59EB9IfZgc4eFbIp56AcnWzfTf91OIlFF+zruJLDwqb/HJxCjiPd9/Bzzunt1fuEB/ejO7GHgO+O3g+2Vmdmc2F57Kbr/9djo7O4nFYsRiMXbu3Mndd2e3ev+aa65hzZo1o17vxBNP5PLLL2fr1q1ZXUdERERESoe74z3dJFo2EN/8EvFN60lse5VkdweeHKdvW5Dx4zH6/3AXfXf/AN/T+UbiHVRsAHr30v+7H9N330/x/r6sYxLJwIeAtWb2X2b2YTObl8kgQWe+P0+ql9mDAO7+nJktyuSCU10ikaC5uZnhD02SySSvv/56VuPedNNNI35+8cUX8/73v5/y8nK++93vcuWVV3L//fdndS0RERERKW7J3W3EX3+W5I7NqaXfoRCt9UcAMG/X66mFtMkENn0OkSNOJjR30QFLv71nD4nm10m2bSXZ3oz39QyOE8ZqphOas4DQjLkMPPcI3tm2fzY7Y/EYiY3r6W1rpvLSa7GqmuzGk8Io0j3f7v5RADM7GrgQuMXM6oAHSE1QP+ruifHGCZp8x929K5/7kqeKUChEJBIhFosd8Hm+9tjMnDlz/+8/8pGP8OlPfzov1xEREclEvveYisiBkt0dxJ75Hb6vCxIJUlk2kEwQDw8WOBu2B9s7W4k983sIhYmedA5EosRffIxk62awECRiB10hhu9qJd7Rgvf1Q3LcfCS4RALf00nvHd+j8rKPYRVVuRtbJAB3fwV4BfjG4Lbs1cB7gK8DK8Y7P2jy/aKZ/RkQNrMjgb8CHsss5KnNzDjzzDN59NFH9yfg0WiUc845Jy/Xa2lp2b9/58477+SYY47Jy3VEREQykc0eU7ULEwnO3Ym/uobEa2vTT4gTMTw+wMAjv0wl5vtXcI4+jg8M5Dbx3j9wEt/XRd/v/4uKd1yV16LFkmNmqQc2RczMDge2uXs/sAo4AvgHd98d5PygyfcnSG0y7wd+AtwDfDH9cAXg7LPPZvr06Tz99NOEw2FOO+20rJPia665ho9+9KOsWHHgA5dvfetb3HnnnUQiEerr67nllluyuo6IiMhkkU27sEWLFuUuEJFJzpNJYmvuIblzS0YJsSfi0NMTuLibJxIQz3KZ+ViSCZI7thB/7TmiR52cv+tITjngxf+w5HZghZkdAdwM3An8GHh7kJMty4JtObVixQofrWiYiIiIlJ6hQqALFixI+1xVLJcp76674OKLxzzE3YmtvZfkjk3j7rve1nASAE0tz79xfjwOPfsCh5Qq4NYT+PisRMuouuJvsPLS275iZmvdfdxlzMXk5GOP8od++H/zNn7dirfl/X8zM3vG3U8xs+uBPnf/v2b2rLsHegoU6JGxmR0F/C9g0fBz3D1QPzMRERGRkRxcAyUd2STfQz3Ch9dGESk6Afp8J7a8HCjxBqjo6z7gvScSaSXeqQvmYan5aNyJvbKWspPOmrhrSnYKuOzczD4FXENqEn4dcJW7p1s+P2Zm7weuBIaefEWDnhx0vdZtwHeBmxhrc4eIiIhIEejq6gKUfEuRW7ECtm8f9Wvv3Uv8xUcCVxqf1bnxjXPdoTf9GWwfSLOVWDbiMeIv/IHoiWdgRb6XWPLLzBpJ1S071t17zexnwPuAW9Ic6irgo8A/u/tGM1sM/CjoyelUO/9OmoGJiIiIiEi+jJF4A8ReeizzomcD/ZBmn29PJgPvC88Vj/WT3NlMeE76W1dk4jkF3fMdASrNLAZUAWP/BRqBu79EKokfer8R+HLQ84M+IrrLzP7CzBrMrH7olWasUuw+//lCRyAiIiIiQ8a4N/OBPpItG9JKhlvmHkvL3GNTs979/enHk2aynhPJJMmdzRN/XZmMZpnZmmGva4e+cPdm4KvAFqAF6HL3e9O9gJmtM7MXDno9YmbfMLNxl1IFTb6vBK4n1V5s7eBLldGmmhtuKHQEIiJSYqqqqqiqUq9ekYyMcW8W3/oKpDnLmAhFSYSikGEtBp/I/d5DEnESLZsm/rqSAcMtlLcX0O7uK4a9btx/ZbMZwKXAYmA+UG1mH8jgD/Eb4NfAFYOvu4BHgFYCLGEPtOzc3RdnEJiIiIjImObNm5fxuWoXJjK6ZOsmSGbY7msgg1lvmPAl50OSnW0Fua4UlbcAG919J4CZ/QI4gzT2aw86093PHPZ+nZk96u5nBknmx0y+zexcd7/fzC4b6Xt3/0WawYqIiIjkRCiUeYGlJUuW5DASkcnHu9szPznT5eNZJN/dcw9n3+zDDvisrvkVqjq3M1A5jY7DVx5yzvSt66ns2kF/tJK+Xbuor9eu2EmvcIXxtgCnmVkV0AucR2YruWvMbJW7PwlgZqcCNYPfjfu0a7yZ7zcD9/NGGfXhHFDyLSIiMoW17YrTsTtOJGw0zo1SVZHejdWWLVsAWLhwYdrXVrswkZF5rB/iGbbxK9Ds9b7ZhzFQPYOyfZ1pn7t79mJ8924l3zIqd3/SzH4OPEMqSX4WuHHss0Z0DfADM6shta+jG7jGzKqBL4138pjJt7t/bvDXqzIITEREREqQu7NmfS+/uK+L5h1xopHUE/l43Dn9pCreeW4dDbODtT2NxzNcFkt27cLa21OzgrNmzcr4+iKTVjwGoRAk0pvBrurtxAero29fsgoPhQ/4vrprB9N3/gmA5iPOOOT86rZN1La8llHIs199AoDIwKHtzcp699Dw4v2jnpsoqwpcyEoKyMCtcNXOB3Pbz2U5xtPACWZWB5i77x729c/GOz9oqzHM7B3AcUDFsIt/IY1Ypdg1NBQ6AhERKTB35z/u6OThtfvoH0jNkMWG5c9/eKaHJ9f18umrZ3PMkopRRim87u5uQMm3FLnR7s3MUk/E0lS/e0vGfbrjZVUQCpMMhdlx7JsP+b6mbSPT2jaSiJTRdvRZh3w/rfV1atq3pH9hM6x88v5bI6XFzMqBdwOLgIgNPkwImhcHSr7N7LukeqGtBm4CLgeeSj9cKWrj9JIUEZHS9+uH9xyQeB8s6dA/4HzlBzv5yl83MLs+8HN+EUnXaPdm0XLw7Np+zd/w5JjfN77+2CGfeSLBhNc7j5RBtGyiryoZ8MFq50XuV0AXqe5faVcmDPoT8Qx3P9HMXnD3G8zsa2i/99Tz+c+r17eIyBQWjzu/uK9r1MR7uFjcufvhbq56p/ZgiuTNKPdmFo5ARRX07k1/zGyWBYdChJKJMZeIh+MDY36ftmQCK9PMt0yYJnd/W6YnB3300Dv4a4+ZzQdipHqkiYiIyBTx9PqewLWYEkl4aM0+BmJjn1BTU0NNTc2Yx4hI+kLT52Z2Yjg8/jGjMDOITOBqFzPCS45nXsP8rNoWygQyy99rYjxmZidkenLQvx13m9l04P+QqhDnpJafy1SiWW8RkSlt47YB+vpHTqaXLx3gmMMOrK4cCkHH7jgNs6O0t7fv32f9xvehrHp1Z9MuLJs2ZSKTxhj3ZuGmo0i2bYFEmlXPs0xiLBrFsyikmJZwhOiJZxKuqpqY60nWSmDZ+VnAh81sI6ll5wa4u58Y5ORAybe7f3Hwt7eb2d1Ahbt3ZRKtFLH587XvW0RkCksk06/glGax5QmTTdIvMmmMcW8WmrtosOJ5ekOaGR6JQIYJtIVCWZ0fWDhC+LBjCM+aT09PqkJ6lZJwyb8Lszk5aMG1MPAOBqu6DX6Gu389m4tLkWlpKXQEIiJSQPNmRSmL2iFLySNh5/nXo6z944FFj6IRePPpqSWss2bNynllcbULkylvjHszC4UIH76MxKtrIZlmIlxWnlXybGVleCKR357hkTLK33QJAK2trUB2q2FkIhhO4VqNZcPMat29G9iTzThB5/3vAj4MzASmDXuJiIjIFHHGsmp8hJvp953Xw/vOO7A3rxmctLSSqsr8LTHs7u4+ZCl7UG1tbbS1teU4IpHJJXLEyVhldfonhsOQxfJgM8PKyzM+f1yRKBXnvw8rr8zfNUQO9OPBX9cCawZ/XTvsfSBB93w3BV3HPsTMKoCHgfLB6/x8sLG5iIiIFKHqyhBnnlzNo8/2EIuPPaMVjRiXrq6doMjSt3dvqgr0nDlzChyJSP5YKEx0xQUMPPKLtGa/zQyvrISefZlfOxyGigq8ry/jMUYUjlK2+nLCjYfndlyZEMW659vdLxr8Naui40GT79+Y2Vvd/d40xu4HznX3vWYWBf5gZr9x9yfSD1NEREQmg6veOYMtLQNsbY0RG+VevixqvP/COo5YmMeZLxEJJFQ3m8iy1cSffwASaSTgkQgeLYPYQMbXzmkCHgpDOEL5+e8nsuDI7McTSYOZnTLW9+7+TJBxgibfTwC/NLMQqTZjQ1XdRn2k7al1aUPNBaODrzxu/BAREZF8K4uG+NzH5vHjX3fywNP7CBlgqRuD8jKjtjrEBy6azqknZLDUVUTyItJ0FADx5x5Ib/93RUUqYU9mXjnRwmGoqsL7+yGRZvW3IZEooYbFVKx+N1ap1oRFy5jIlmC59rUxvnPg3CCDBE2+vwacDqzzkTZ7jWKwUNta4Ajg39z9yaDnyiT0Oe0aEBGR1Mz2h99Zz/vePp2163sp8z7M4DN/Ppuli8pTvX4ngNqFyZSXxr1ZpOkoQtPqia35Ld63L9AsuJnh1TWwb292CbgZVlGBJxJ4PJFKwsNhiI/RBi0SBXdC8w6jbNnZhJuOGPXQhoaGjGMTCcLdV+dinKDJ92vAi+kk3gDungCWDfYI/6WZHe/uLw4/xsyuBa4FWLhwYTrDy0RTn28RERmmoiy1B7yzM1VtfMaMigm9fjbtwiKRoLdAIpNYmvdmobpZlK1+P/E/PU/iT8+mkuBx+oBbJIpPmw6EYO/utJauHzhQCCuPEj3jLUSajiS+6WWSrVtI7NiC93SnkvtQCKuoJjR3AeF5iwgftpRQzfRxh66sVOG14mB44Hrfk4uZXTbW9+7+iyDjBP3J0wI8aGa/IbWXe+gigVqNuftuM3sQeBvw4kHf3QjcCLBixQotS5/M1OdbRERGMGPGjEKHkDY98JeSkMG9mYXCRI88hcgRy0ju2Eyi+XWSna3Qu+eNCueehLJKQnWzCc1dRHjBUVikjMT2DQw8emcqAY8H3AtuBqEIVj+XsrMuJVRdB0D0mJVwzMq0Yh/NUAHFmhotSZe8uXiM7xzIafK9cfBVNvgal5nNBmKDiXcl8BbgXwJeTyajNYGr6IuIyBQSH+wHPNGzyUOtwlSxXKasLO7NzEKE5y0mPC9VvNmTidQycHcIR7BI9JBzwvOXUPHuT5Dc9hqx9Y/ju3aklocn4pActp87EgUMkgnCC48mcswqQjPnZRzreIb+LVDyPbk54EW659vdr8rFOIF+Srr7DQBmVu3uQXsONAC3Du77DgE/c/e7MwtTJoW1a1NPWEVERIbZsmULAEuWLJnQ62bTLqy1tRWAefPylxCI5F0O780sFIaycKDjwguPJrzwaHygj+SuVpIdLfi+7lQCHikjVDeTUH0DNn12quCaSJEzsw+4+4/M7K9H+j7oivBAybeZnQ7cDNQAC83sJOA6d/+L0c5x9xeAk4OML0XikktST0NFRESKXE9PT6FDEMlege/NrKwitTd73qKCxSDFpVj7fANDLTymZTNI0PVh/wpcANwJ4O7Pm9nZ2VxYREREREREZLJz9+8N/npDNuME3pzl7lsPah2SYaM+ERERkewkEk48kdpD2NvvVJYX5z5CEZGpxCnuf6sH65p9BFjEsFza3a8Ocn7Q5HurmZ0BuJmVAX8FvJxeqCIiIiLZ2b03yR/WxXl8fZwzj0x99oP7e1k4N8Tqk6McvTBEqEgL+ohIZhobGwsdggRixbzsfMivgEeA35PBZHTQ5PujwDeBRmAbcC/w8XQvJiIiIqVn5syZE3KddRvi/Pi+AZJJSCTh/pfeKJa2sSVJ885+Fs4NcdWF5ZRHx07Ao9FDKzmLSHEqLy8vdAgydVS5+6czPTlotfN24IpMLyIiIiKlq66uLu/X+OOWBD++b4BYfPRjBuKwqTXJD/67n+suLicUGj0BX7BgQR6iFJFC6O7uBqC2trbAkch4irXV2DB3m9nb3f2/Mzk50Ly/mX3FzGrNLGpm95lZu5l9IJMLShFrbi50BCIiMgkNDAwwMDCQt/GTSecn9/cfknifsmgXpyzadcBn8QRsbUvywgaVppEpQPdmALS3t9Pe3l7oMKSEmdkeM+sGPkkqAe8d/Gzo80CCLrp/q7t3AxeRWnZ+FHB92lFLcVu7ttARiIjIJLRt2za2bduWt/H/uDU54oz3nGl9zJnWd8jnA3F48LnYmGO2tLTQ0tKSqxBFCkP3ZlJEnFTBtXy98hq7+zR3rx38NeTulYO/n+bugZdcBE2+hzZGvR34ibvvGutgKVE33ljoCEREZAp6fH2M/rFz6UO07nJ2702O+n1vby+9vb1ZRiZSYLo3E5kQZnaYmdUNe7/azL5pZp8aLEgeSNCCa3eZ2StAL/AXgyXWD33ULKXtrrsKHYGIiExBu/f6qN/V1wzwpqVtPPLHOQCcuqSd+uoBQiFoaQ6xK5oqxjRUDbm5uZn+/n76+vqoqKiYkPhF8kb3ZlJMrKirnf8MeBfQZWbLgNuALwHLgH8HrgkySKA/vbt/BjgdWOHuMaAHuDSDoKWYXXxxoSMQEZEpKDzK3cqGnTXs2jv6hMNYixArKiqYPn16doGJFJruzUQmSqW7bx/8/QeAH7j714CrgFODDhJ05ht37xz2+33AvqDnSom4++5CRyAiIlNQ0+wQze0JkgdNgL/aWsurrQdutXtqwywAImH43JWVVJYfmIKrH7CUFN2bAdDU1FToECSgfO/NzqPhgZ8L/C2AuyctjQrugZNvERERkZHMmjUrr+OfeUKUNX9MkAxYwNwMjl8cPiTxFpHSVFYWeMutSKbuN7OfAS3ADOB+ADNrAAK3+xg3+bZUKt/k7lszDFRERERKWL57686rDzF/VoitO5MkR6+htl8kDOcsi45/oIiUhK6uLgDq6urGOVIKrYj3fP9P4L1AA3DW4FZsgHnA3wUdZNw/vbs7cEcmEYqIiEjp6+/vp7+/P6/XuPKCcqrKITTOZHY0AhesjNI0u2hv8EQkTR0dHXR0dBQ6DClhnvJf7v4Nd28e9vmz7n5P0HGC/mR6wsxWph2liIiIlLzm5maam5vHPzALtdXGpy6voGGmEY2klpYPVxZJvS49M6pZbxGRSapY+3znStA936uB68xsM6lCa0bqAcCJeYtMJp+LLip0BCIiMoXV1YT41Hsq2bYzyUPPx9jaliSRgJpKOO24KCcfEaYsWhw3YCI5oXszkaISNPm+MK9RSHFQL0kREZkEmmaHuOIt5YUOQ6TwdG8mRcQp6j7fORG0z/dmd98M9AI+7CVTiXpJioiIiEweujeTIlPsy87N7Ewz+52ZvWpmG8xso5ltCHp+oJlvM7sE+BowH2gDDgNeBo7LJGgpUtdeW+gIRERERGSI7s0AWLhwYaFDkKnjZuBTwFogYAPMNwRddv5F4DTg9+5+spmtBt6f7sWkyC1fXugIRERkEpozZ06hQxCZmnRvBkAkEjSlkULzg6tlFp8ud/9NpicH/S815u4dZhYys5C7P2Bm/5LpRaVINTaCa7eBiIgcqKamptAhiExNujcDYFd7O4RC1NfXFzoUKX0PmNn/AX4B7O+x6e7PBDk5aPK928xqgEeA/zSzNiCebqQiIiJSenp7ewGorKwscCQiUur6WnfS8vPf0vHQk3StWUff9jbmfu/zgPPUJ79EzTFHUP+mFcw+/yxmveVMLDS1C3xNNu5FP/O9avDXFcM+c+DcICcHTb4vBfqA/wlcAdQBXwh4roiIiOSJu/Pi6308vGYve/YmmDMzynmnTeOw+WUTFkNLSwsAS5YsmbBrisjU0vn4s7z+5e/Sft9jEDKSvf3Dvk3N/id6+uha+yJdz6xny023Ea6qYPEnP8xhH/0zorVaoSPZc/fV2ZwfKPl2931mNg84FdgF3OPuHdlcWERERLKzoz3GP32vld17EvT1p24+Q9bLfU/s4ahF5Vx/9VyqKjTrIyLFK75nLy9+8ou03P7bVMIdZJm9O4m9+0js3cdr//RvbPzGD1j2/3+V2eeflf+AZQyGB2u2NWmZ2VzgfwPz3f1CMzsWON3dbw5yfqA/vZldAzwFXAZcDjxhZldnGLOIiIhkqWtPgs9+czs7OuL7E2+ApMNAzPnjxj6+8J0WEgntBxWR4tS19kUeWHo+Lbf9hmRPX0b725O9fQy0d7L28o/zwrV/RzKunbOSlVuAe0h1AQN4ldTq8ECCPnq4HjjZ3T/s7lcCy4FPpxGkiIiI5NBdD+6mpzc56r1oLA7NrTHWvtQzsYGJiOTArkfX8vh5H2Rg5y6Sff3jnzCORE8f2396N2ve9TGSsVgOIpR0OcXf5xuY5e4/A5IA7h4njZZjQZPvbcCeYe/3AFuDXkRKxJ13FjoCEREBEknn3sf2EB/nx33fgHPn/V0TE5SITLwSvTfb8+KrPHXRNST2BXt42PaJf6btE/887nGJnj46Hn6K5z50Pa4q8ZKZfWY2k8FCA2Z2GhD4B23QgmvNwJNm9qvBC10KPGVmfw3g7l9PK2QpTuolKSIyKeztSXLwyslTlsbY3BqmoyvEUQvinH5CamYnHOpjw4Y+AJqamigrK6Orq4uOjkNLt0yfPj2jVj3z5s1L/w8hItkrwXuz5MAAay7/OIl9vYHP8b6B4OP39NH23w+y/ae/pvF9F2USomRhAmeo8+WvgTuBw83sUWA2qW3ZgQSd+f4TcAdDpQThV0ALMG3wJVPBihXjHyMiInkXCRvJg2ZtTjg8zpknHrqU0gLe51RWVlJbW5tRPFVVVVRVVWV0rohkoQTvzV77p3+jr2VnWvu7a95zATXvuSDw8YmeXtb9xT/Sv6M9kxBlChvs5/1m4AzgOuA4d38h6PlBq53fkFl4UlK2by90BCIiAlRVGHPqI7TsPHD6e8a0JACvbo3w6tYIoRC86ZQa3nbu7AOOq6uro66uLmfx9PSkloYqAReZYCV2b9a3fQcbvvEfae/xrn7rGQDsve2ewOck+/p5+W//D8t+8C9pXUuyUwIz30P7vNdncm5x13qXifX5zxc6AhERAcyMd543nfKysW9iImHjonOCzWZ3dnbS2dmZUTytra20trZmdK6IZKHE7s023/hfGVU0z4TH4rTc9htiXXvGP1hKgpktNbPnhr26zSxwpfJcUPItwd2gBRAiIpPFm1fWcMySCsqjIyfg5WXGJatrWdRYHmi8bJJvESmQEro3S8bjbP73H5HsD75/O1sWDrHth3dM2PUkf5XOg8you/sf3X2Zuy8j1b2rB/hlvv/Uwyn5FhERKULhkPGZa+byjjfXUlluhEIQCkFFuTGjNszVl83kvRemXzxNRKQQup99CR+vhUOOJfb1sv0nd03oNac6d8vbK03nAX9y983pnGQpHzCzfxx8v9DMTg16fqA932Z2FPAdYK67H29mJwKXuPs/pROsiIiI5E44bLz/HfVcfsEMXn5tF/0Dzt9fV8ORh5UTChX/vjoRmTq6nllPMjGxyTfAnvWv4u5Y0OqUUireB/wkyIFmdibwhLsngH8n1eP7XOALpFpw3w6sDDLWqMm3mX0UeNDdXwG+D1wPfA/A3V8wsx8DSr5FRESy1NOb4P4ndvPQk90MxJyjFldyyXn1LGgItmQ8GjFOPGZmnqMUEcmfXX9YQ7KnL6Nzd3zkcxlf15NO75btVB3WmPEYEoyT94Jrs8xszbD3N7r7jQcfZGZlwCXA3wYc10lNRF8LrHL3U8zsWQB37xwcL5CxZr5/BPwbcCVQ5e5PHfREKD7iWSIiIhLY65t7+buvbyYRd/oGUoWGNm3r477HdvOut87kg++cE2ic3t5UT9zKysq8xTqahoaGCb+miJSW3k3NBbluqCxK//Y2Jd+lod3dg/TfuxB4xt13BBnU3R8zs57BtzEzCzPYgtvMZpOaCQ9k1OTb3fea2TWDb9vN7PBhF7mcVJ9vmUp0cyUiklN79yX4u69vZl/PgT+3E0lIJJ07ftdB07wyVp82fdyxWlpSP5aXLFmSUSyLFi3K6DwoTMIvIpTUvVlyYOIKrU2ma081k6TV2PsJuOR8iLs/N/jbb5Eq0jbHzP4ZuBz4+6DjjLnn291jg7/9OHAjcLSZNQMbgQ+kE7CUgBLrJSkiUmj3PtpJPD56W53+AedHd+zknFV1ed+PGAplXoN17969ANTU1OQqHBEJooTuzULlgVfu5v7aZYW7tkwsM6sCzgeuy+R8d/9PM1tLqmCbAe9095eDnh+o4Jq7bwDeYmbVQMjd1RBvKvr850uun6SISCEDQM7CAAAgAElEQVQ98HgX/QNvJN+nHu8sW5p6f/9TxutbjYqyGH98dQNlB7UUmzdvHlVVVfT09NDa2kpfXx8VFRUZx9LR0QHAzJnp7x1va2sDlHyLTLgSujerWrKQzsefnfDrJvsHqGiaN+HXnaoKPfPt7j1A2j/ozGx4+5A2hs2cm1m9u+8KMs6YybeZ/fUonwPg7l8PchERERE5VH/swFnvZUudhtnQsvONzyxkJN1hnBuWiooKpk8ff3n6aLq6uoDMkm8RkWzVn7mcll/ek3HRtUxZJKLkW4JYS2oL9kg/jB0ItOdrvJnvaWkGJaWsRJ6siohMFoubymlpG8CH5eAtO+HG299YAr69DRYtWkxVRXjEMaqqqjLe5y0iRa6E7s3qTjkOC43871w+1Z5wlNqMTZiM+nFPCu6+OBfjjLfn+4ZcXERKxPz5JbW3SESk0N55/kzWrNt7wNLz4cIhOOOUaaMm3iIyxZXQvVntsmMIlZeR2Ltvwq4Zrq5i/hWXTtj1pDSY2WXAWaRmvB9x9zuCnhuouoqZLTGzu8xsp5m1mdmvzEyP2aeaFhW4FxHJpaOXVHL2ylrKy1IzAb+4z/jFfanfh0MwrSbM1ZfPLWSIIjKZldC9mYXDLP7EhwhVlE/YNT2ZpOmKSybselOdA0ksb6+JYGb/DnwUWAe8CHzUzP4t6PlBS5v+GPgZ0ADMB24jzfLsIiIiciAz46+unM8Vl8yhtibMvt4wPf1holFj1bJpfOsfllA/PVroMMfV2NhIY6N65IpIdhZ+5L0Tdi0rK6PpikuI1FRP2DWlJLwZuMDd/8Pd/wN4O3BO0JMDVTsHzN1/OOz9j8zsL4PHKCIiIiMxMy67YCaXnl/PnzZ2EE84TfNnUFsT9Ed0bmSzb7y8fOJmqkSkdJXPmckRn/0Yf/ry90j09Ob1WuHKcpb+04i1pSWPCl3tPAf+CCwENg++XwC8EPTkMWe+zax+sKz6A2b2GTNbZGaHmdnfAL/ONGIRERE5UDhkRKybisieCU+8s9Xd3U13d3ehwxCREnD49R+hclEj5LEIWriqkpNu/jJlM2fk7RpSWga3YN9Jqk3Zy2b2oJk9ALwMzA46zng/3Q8uqT68GbkDXwwesoiIiExW7e3tAMyaNSvjc2tra3Mak4hMPaFIhOW3fZtHT7+cePfenI8frqqk4X+8nXmXviXnY8s4nKKtdg58NReDjFftPCcl1aVEfO5zhY5ARETyZGjmOpPkW0QKpETvzWqOWsxp997KE+d/iPjeHg7ox5iFcFUlsy88mxO/q/nDQinWZefu/lAuxglacE2kpHpJioiIiBS9Er43q1t+PGc88lMqGucSqqzIerxQZQULrvkfnPLjf8XCat8ohaHkW4KbP7/QEYiIiIjIkBK/N5t23JGc89I9LPjz96QS8FD6qUu4qpLy+XNY9ZsfcNzXPotlMIbkiuGev1cx0H99EtyaNYWOQESkpDU1NdHU1FToMESkWEyBe7NwZQXHf+PvOfORnzL/f7ydUEU54eqqsU+KhAlXV1G5qJGjv/JpVr98L/VnLp+YgEXGEKicqpkZcAWwxN2/YGYLgXnu/lReo5P8i8UgOkoP2Y0bYfGwbf9r15b8E1YRKQ37euLs3DXAjLooddMmf5/sIWVlZQW7diiL2SA9MBApkCl0b1Z70tGc/MOvEevsovXO+9j1hzV0Pv4svVu34wNxLBQiPK2K2hOPZubZpzJz9WnMOOMULI9V0yU9TvHu+R5iZhtJ/VEO4O6B+nUG7WXy70ASOBf4ArAHuB1YGfB8mawuuQR+9Ss4+Ibv+efh0kth06YDj81RwQsRkXzYsy/ON27cwCNPdBCJhIjFkyw7ro7rP3Y4c2dP/l7UXV1dANTV1U34tRctWpTxuYV8aCAypU3Be7PojDoWXHkZC668rNChyNS0YtjvK4D3APVBTw76mHuVu38c6ANw905AP2lLwfLlcOGF0NPzxmcPPggXXQTf/37BwhIRSddALMnH/3YdDz3ewUDM6elNEIs5a1/Y/f/Yu/P4uMrz7v+fexbt1m4hWZaQDTbEwXawDSQQ9kIgxZQsNM3+IzwhafaS5cnS/oBuSdqG7G1CmtAE0iTNQgOU7ARCoCw2O5jNsizZlixL1mJZy8xo7uePo9Fiy9LRSHPOnJnv+/Wal2Y5Z86lsSXd171dXPPxJ+gfiPsd4rx6e3vp7e31O4wFGxgYmOw4EJElkEzCAw/4HYXIkgv6mm9rbe+0215r7ZdwBqhdcZt8x40xYSaG2I0xy3FGwiXo/v7v4YIL4DWvgaEh+OlP4R3vgNtug4su8js6ERHXfn9/D909YyQSM0eBkkk4PDLOT/6n06fIgqG7u5vu7u60zg1qp4FI1gqF4KMf9TsKETmCMWbTtNsWY8x7gWVuz3c77fwrwG1AnTHmH4A3An+98HAlK33mM1Bc7IyCWwt33w0nnuh3VCIiC/Krew4wMjqzX/js06JsOsVZ811Q0E9rawKA1audpVk9PT2T9a1TQqHQoqZgB9XQ0BAAdXV1PkciIgBcfLEzKPL614PWLUuOyIHR2y9Mu58A2oA/d3uyq+TbWvt9Y8x24ELAAFdYa3csIEjJVlu3Or/QrYUDB5yk+9prp16//Xb/YhMRWYCx2Nx/0m0yv9ZFikjA3XgjHD4MkQgUFTltNWPgiA5DEfGOtfb8xZw/Z/JtjJm+eLwb+MH016y1BxdzcckCH/vY7PdFRALmlZsqeaF1iFjMSbKjUXjw8Tj3PRInFIILX13L1ktnbkZaW1tLbW3tUe+Vmn6tUWAR8c2hQ35HILLkglKP+0jGmGvnet1ae6Ob95lv5Hs7zjpvAzQDfRP3K4F2YNWxT5VAOPdc98fu3Zu5OEREFmnrRfX84L/3EYuNA/C+tzl1YL988zDRSIi3vt59OSy/pmA3Nzd7ej0RyUJf+xp84APO/WeegZe//NjHqm0m4pXUuu6TcCp+paYHbwX+4PZN5txwzVq7aqJm2a+ArdbaWmttDXAZ8LMFhyzZZ/162LBh6rZxI1x4obMR2+jozGO3b/cnRhERFyoronzpb19OTVWUkuIwoZAhHDKUloT5u0+cxKrmEr9DnFckEiEScbsdS/Zcu7m5WR0HIkvlO9+Zuv/2t899rNpmEiAWk9FbRmO39gZr7Q1ALbDJWvtRa+1Hgc2A6959t39lT7PWvnfaxX9hjPm7BUUs2enOO49+7uBB+O534YMfnFlu7KabnDXiIiJZau3qMn7yrS1sf3IAm+giGg3x85vXE426Le7hr76+PgCqqqo8v/Zikme/OgxEct58NbzVNhPxWjMQm/Y4BrS4PdntX8seY8xfA7fiTEN/G6CaIrng+ONnf+7UU53bdHfc4U1MIiKLEAoZTntFJa2tzrYkQUm8wd/kezGCGrdIVurvd0q+JpPO5mo/O2Ky6etfP3VfbTMJmKCu+Z7mFuBhY8xtOHnx64Dvuj3ZbfL9ZuA6nHJjFmde+5sXFqcETvKInYO3btUveRHJC/k4ktvV1QVAfX39gs9V8i2yhM49d6razDnnzGx7GTMz+VbbTAIm09PDM81a+w/GmF8AZ088dZW19jG357stNXYQ+HAa8Um2e/TRo5/r64Nbb3V+4U832xR1EZEstZhEMB/XLw8PD/sdgogA3Hyz+2PVNhPxnLX2UWCWJGp++de1LzN99KMzHxsDNTVw3nlwzTW+hCQishQ0CisiIpJFLCTn2cYg1yn5zne//73fEYiIZEQikQDSm0K+mCnYIiIiIrNR8i0iIjmpvb0dgNWrVy/4XL+mYLe0tPhyXRERkUyzBH/NtzFmnbX22SOeO89ae4+b810l38aYr8zy9ACwzVr7czfvISIiInMLhfzbmT0ajaZ9rjoNRDywbRs0NEBjo9+RiOSz/zLG3AL8E1A08XUL8Co3J7v9K18EvAJ4ceK2AagGrjbGfGmhEUtAXXaZ3xGIiOS03t5eenv9qeTZ1NREU1NTWueGQiFfOw5E8sJXv+q0xd70pqnn1DaTgLHWZOzmkTOAJuAB4BFgH3CW25PdTjs/EbjAWpsAMMb8G/Br4CLgqYVEKwExW++qSlmIiGTUwMAAADU1NT5HsjCpDoOgxS0SKN+dKCV86NDUc2qbiXgtDowAxTgD1Lustcm5T5nitpu6ESid9rgUWGGtHQfG3F5MAmS23tWtW/2LR0TEQ9FodFHTsIOos7OTzs7OtM4dGBiY7DgQkSXQ3g79/c79tjb4yU/g6aedx8uWTR2ntpkEjLWZu3nkEZzk+zTg1cCbjTE/cXuy25HvfwIeN8bcAxjgHOAfjTGlwG8XFK4Ew2y9qyo9JiIBsphR2HSnXwfZyMiI3yGICMDnPgff/CYUFsLHPgb/8i9w1llw3XVw9dVw7bVTx6ptJuK1q6212ybudwF/Zox5u9uTXSXf1tpvG2PuAk7HSb4/ba3dN/HyxxcSrWSZWAyiUae+Nzilxx59FNatg0svndm7unmzPzGKiKShoqLC7xBERBbullvg2WdheBhaWqC1FZYvh8OH4YwzZibfaptJoBiSAd3t3BhTbq0dBFqNMdVHvPw/bt/H1bRzY8zfWms7rbU/t9b+N9BljPn+AuKVbHXaaVPTmv75n+Ezn4GREbjxRvjkJ2ceq901RSRAYrEYsVgsrXMXMwVbRGRRwmEoLobKSudrahZPaenRx6ptJuKV/5z4uh3YNvF1+7THrriddt5sjPmUtfazxphC4MfAowsIVrLV+DhUVTn3f/QjuO8+5xf9Jz8JmzY5U59ERAJoz549QHp1vv2agp1OrCKSYzZtgre8xRnpvvBCeOc74ZJL4O67nZmJIgFlwctdyZeUtfYyY4wBzrXWtqf7Pm6T76uA7xtjPgWcD/zCWvvFdC8qWaS83NnA45RToLYWRked5DuRgKTrjftERCTgCgsL0z5XnQYiS+jf/x1+/GNnSeAb3wgPPQQ/+AGcdBK8//1+RyeSt6y11hhzG5D2eo85k29jzKZpD78MfBO4H7jXGLPJWqvR76D7xjfgrW+FjRuhrg62bIFzz4Unn4RPf9rv6ERE8kpPTw8AtbW1nl+7UdNXRbJDJAJvfvPU47POcm4iOcDDXckz5UFjzGnW2kfSOXm+ke8vHPG4D1g38bwFLkjnopJFNmxwNlj79a/hhRecJHzlSmfNd2Wl39GJiOSVwcFBwJ/kezH87DQQyTmPPAKf+ISznvuzn4V3vct5bs0auOkmOPVUvyMUSZsN6IZr05wPvNcY0wYcxtmM3FprN7g5ec7k21p7/qLDk+wXDjs7m196qd+RiIhkhcVMwQ6ikZilc98+QgaOb16BMQtrHAW100AkK73//XDDDc6GuGeeCV/8IvzmN/C738H73gf/+79+RyiSzxaVMLna7Vxy2LZtcP758La3QUcHXHSRM+J92mnw2GMzj739dn9iFBFJQ21tbdrJYGNjY15Mw9613/LD+yzf/CXsPTBGR/cYN/8WntptSSaDPzdQJJDicWdA5M1vnlr3Dc7ma6OjM49V20yCxEIyg7dMMsYUGWM+glNm+xJgr7V2d+rm9n3cbrgmuep973Pfu6pakiISIOXl5X6HkNX+8IzlsVZIjDuPU+2WvsNw95PwXAe87lWWSDjwUwRFgqWoyFkOODDgJN///d9wxRVw773ObMXp1DYT8cp3gThwH87o9zrgwwt9E41857uF9K5u2eJ9fCIiaRobG2NsbCytc/fu3cvevXuXOKL5hUIhQqHM/2l+evfMxPtIiXHYdxB++0TGQxGRI33jG/CFL8B3vgO/+hX8/vfOrMT3vQ++8pWZx6ptJgGSKjWWqVuGrbPWvs1a+03gjcDZ6byJ65FvY8yZQMv0c6y130vnopJFFtK7um+fPzGKiKQhlTynUwYr3aR9sVpaWjJ+DWst9+84duKdkkjCc3vgnJdbSgrnbtR40WEgkjc2bnSS7pQvf9m5zUZtMxGvxFN3rLWJhe6NkuLqr6Ux5hbgX4BXA6dN3NTVlgsW0rt6/fW+hCgiIktn70EYix/9/KGxIg6NFR31/DPt879nS0uLJx0HInnhK1+BPXvcHau2mQSMtZm7ZdhGY8zgxO0QsCF13xgz6PZNjHURqTFmB85Qe0a/rS1bttht27Zl8hKyGMbkRHE+EckPra2tQHoj34s5dzG6u7sBqKury9g1nmm3/O4JiB9j5Hv9cXsoikxl56WF0FhXQn19PQDt7e0kEokZ55SVlWU0ZpG8UlEBpaVwwgnOssArr4Tly2c/Vm2znGWM2W6tzanBzjXrNtsv3/pgxt7/TzcXZP1n5nae2NNAfSYDkSzxxz86Nb5/8xu/IxERyTtDQ0MMDQ1l9BohAwsqs6r91kS8tXq1M/L9N38D27fDunVwySXw3e/CoUN+RyeyKElMxm5B4HbNdy3wrDHmYWByIZy19vKMRCXeOf10ePhh5/63vgVf/zq87nXONKbt2+GTn/Q1PBERPxQXF/sdQsY0VEMyeezXn9q/cvJ+NAyv2QT19VONmubm5kyGJyLGQCgEF1/s3OJx+MUv4Ac/gI99DA4c8DtCEUmT2+T7+kwGIT6KT1v4d9NNzoj38uXOL/dXvlLJt4gE1mKmQTc0NCxhJNmlstRQX2XZ2zv/scbAibn7UYhkpyOnkUejcPnlzm1kxJ+YRJaIn6skjDGVwL8Dp+Bsvv4ua+3/zn3W0nI17dxaey/QBkQn7j8CPJrBuMQryST09UFvr/PTkFpTVFoKEZWBF5HgKisro6yszO8wstIF6yESnvuYSBgu3ADhUDCm8onkjB/96Niv5fCsHBEPfBn4pbX2ZGAjsMPrANzudv5u4CfANyeeagT+O1NBiYcGBmDzZqdO5MGD0NXlPD80dHTXVA6PBIlI7hkZGWEkzVGijo4OOjo6ljii+UUiESIedHzWVRrecCYURJyp5dOFQ87tvPWwrlmJt4jn1q499mtH7gmhtpkEiCVzNb7nq/NtjCkHzgG+DWCtjVlr+z34tmdw+xf+/cDpwEMA1toXjTHa1jQXtLXN/nwoBLfdNvM51ZIUkQDp7OwE0tuxPB6fpRaXB7xcT72yxvDeSyzP7YUndsHwGEQj8LKVsKGFeWt7i4gP1q2D9mn1/9Q2E5mu1hgzvXTWTdbamyburwYOADcbYzYC24EPW2sPexmg2+R7zFobSxUTN8ZEcObJS64qKTm6rMX116uepIhIDolGDOuPh/XH+x2JiEy68cbZn7f26JFvtc0kSCwkM5tB9sxRaiwCbAI+aK19yBjzZeCTwN9kNKIjuC01dq8x5tNAsTHmIuDHwB2ZC0uywrp1fkcgIpJXurq66Eot/xGR/PTpTzv78Rw6NPM2NDR3qQKRALA2c7d57AH2WGsfmnj8E5xk3FNuR74/CVwNPAW8B7gLZ6c4CbqF9q6KiEjGDA8P+x2CiPht0ya44gpnT54j/fsRzW+1zURcsdZ2GWM6jDEnWWufBy4EnvU6DlfJt7U2CXxr4ia55NOfho9/fPadzY/sXV2xQmuLRCQvlJSU+B2CiOSrm2+GmprZX9u2beZjtc0kYCy+7ifyQeD7xpgCoBW4yusAVEsq3y2kd3Vi8yIRkSCor6/35VwRkUU56aRjv3bccTMfq20m4pq19nHgWGvCPaHkO98tpHdVRCRANHotIiKSPSwZ33At67mt832lm+eOeL3JGPN7Y8wOY8wzxpgPpxukZNBJJ0Ft7eyvHdm7KiISIMPDw2mvoW5vb6d9ejkfj0SjUaLRqOfXFRERkcxzu9v5p1w+N10C+Ki19mXAK4H3G2O0fbaIiHhiMTuHJxIJEonEEkc0v6amJpqamjy/roiIiBd83O08K8w57dwYcynwWqDRGPOVaS+V4yTXx2St7QQ6J+4fMsbsABrxYVc5EREREZFAeeEF+Mu/hP374emn4ckn4fbb4a//2u/IRCRN84187wO2AaPA9mm324HXuL2IMaYFOBV4aO4jJatdd53fEYiI5LTOzk46tYGSiAC8+93w2c9CainKhg3wwx/OPEZtMwkYjXzPwVr7BPCEMeY/rbXxdC5gjCkDfgp8xFo7OMvr1wDXADQ3N6dzCVkKbnpXVUtSRCSjRkZG/A5BRLLF8DCcfvrM544sDau2mUiguF3z3WKM+Ykx5lljTGvqNt9JxpgoTuL9fWvtz2Y7xlp7k7V2i7V2y/LlyxcQuiwpN72rK1Z4H5eIiA/KysooKyvzOwwRyWe1tbBzJ5iJusg/+Qk0NMw8Rm0zCRBrIWlNxm5B4LbU2M3AdcAXgfNxCpLP+R0aYwzwbWCHtfbGxQQpHnDTu6rSYyISIA1HNlIXoK6ubgkjERFJw9e/DtdcA889B42NsGoV3HrrzGPUNhMJFLfJd7G19nfGGGOt3Q1cb4y5DychP5azgLcDTxljHp947tPW2rsWEa9kipve1e3b1cMqIoFRXFzsdwgiIulbvRp++1s4fBiSSVi27Ohj1DaTgAnK2uxMcZt8jxpjQsCLxpgPAHuBOYcFrLV/ZJ7RcckibnpXL79cPzEiEhhDQ0MAaU0fb2trA6ClpWUJI5pfYWGhp9cTkSx04zwTRq+9duq+2mYigeI2+f4IUAJ8CPg74ALgnZkKSnzgpndVRCRAuru7gfSS72QyudThuNLY2OjLdUUkixw65Hx9/nl45BEnwQa44w445xz/4hJZAvneV+Qq+bbWPjJxdwhnvbfkioX0roqIiIhIZqXKh118MTz66NSAyPXXw5VX+haWyFJIKvmenzFmLfBx4Pjp51hrL8hQXOIV9a6KiGSNvXv3AhoBFxGgvR0KCqYeFxTAxJIYEQkmt9POfwx8A/gWMJ65cMRz6l0VEckaY2NjfocgItni7W93KtG87nXOhri33Qbv1KpPCS4L2ICUBMsUt8l3wlr7bxmNRPyl3lURkUnl5eV+hyAi+e4zn4FLL4X77nMe33wznHqqvzGJyKLMmXwbY6on7t5hjHkfcBsw2S1vrT2YwdjES256VyemQ4qIBMFipm7X1tYuYSQiImnatMm5HYvaZhIkVhuuzTfyvR1nhkBqfsDHp71mgdWZCEp84KZ3VbUkRSRAVLZLRHKe2mYigTJn8m2tXeVVIJIF5utdvekm2LrVu3hERBZhcHAQSG8KeWtrKwCrV3vbx1xcXOzp9UQk4NQ2k4DJ993OQ24OMsa83xhTOe1x1cQ0dMknd9zhdwQiIq719PTQ09PjdxgL0tDQQENDg99hiEi22L0bfvtb5/7IyFSVmhS1zUQCxVXyDbzbWtufemCt7QPenZmQJGupZ1UkcHbvi/GF/9jPNde181ef28Ov/jjA+HiedzuLiATBt74Fb3wjvOc9zuM9e+CKK2Yeo7aZBIiz23nmbkHgNvkOGWMm94U3xoSBgjmOlyCar3f1zju9j0lE0rZj5yif+dI+HnpymL7Bcfbsj3PL7X18/tv7Seb7vK8s1dHRQUdHh99hiEg2+PrX4f77IbV0Zs0a6O6eeYzaZiKB4jb5/hXwX8aYC40xFwA/AH6ZubDEc256V0UkMKy1/OsPDzAWtzN6g8filh07R3nqhRH/gpNjisfjxONxv8MQkWxQWDizDGwi4VSkEQmwfB/5dlvn+/8C7wH+Emfn818D/56poMQHX/86PPwwnHGG83i23lURCYye/nF6B8YnH286Kc76ExKTjw/1d9DaGqWuro6ysjJGRkbo7Ow86n3q6+spKSnxJObpBg8neejpUQYOJWmqj7Dp5EKiEe8anRUVFZ5dS0RkVueeC//4j85sxN/8Bv71XzXNXCTgXCXf1tok8G8TN8lF6l0VySnJpGX6T/DurjAr65JULUsCzrort4aHhwE8S8Lve2yEW+9ylr3EE1BUYPj+Lw7xiXdUsfI4t33GsHLlyrRjqKmpSftcEZEl8bnPwbe/DevXwze/Ca99Lfyf/+N3VCKLku+r3ly1Yowxa4DPAuuAotTz1lrV+c4VOdC7Ojo2zje+t5tf33uAZNJy7qtq+MC7VrGs1H1jXSRX1FVHKC8L0dPnjH73DoS4/T6n7nVRgeFDb1/O6tWlk8cXFxcfs6yWl2W3dnfG+f5dh4hPDdIzGrMQg3/+Xh9fuLaWSNhdx2BBQfpbkySTTidFKOR2dZaIyBILheDd73ZuIpIT3LYqbsYZ9U4A5wPfA27JVFDig899DpYvn9m7+vd/P/OYyy7zJzaX/ubzz/M/v93P4eFxRkaT/Pa+Hq697hlsUBaBiCwhYwzXXFlLQdRJVNc2JVjblCAageYVBWxa5/1Ucjd++cAw8fHZX4sn4LHnxly/18DAAAMDA2nF0dbWRltbW1rnLkZJSYkv0/xFJAvdfz9cdBGsXQurV8OqVc7X6bK8bSYyQwbXewelue92SLDYWvs7Y4yx1u4GrjfG3Adcl8HYxEtuelezuJbk3q5RHn92kFjcctbmKDVVIW7/7Rgd+0Z4ZscuSopmHl9WVkZdXR3gNLJTo1wAlZWVVFdXexm+SEac+rIS/ua99fzwrj5OP7mPUMjwipfX8mcXVBAOZeeykvauxOQf0PWrRji5aZQX9hTyRGsJifEkxPbQ2jqz37iqqoqqqioSiQTt7e2Tz4+OjlJUVBSo9dv19fV+hyAi2eLqq+GLX4TNmyEcnv2YLG6biRzJAtOa3HnJ7cj3qDEmBLxojPmAMeZ1QF0G4xKvueldzeJp6N09Y5ObMW3ZEOU15zjTa40xjI0dYxhtFqOjo/T3989/oEhAnLy6iOs/0MDJq4tY21LIla+poiCavVOpq8qnYju5aZTlFVPzzwuiEDlG+3M2RUVFVFZWLmV4IiLeqaiASy+FujqoqZm6TZfFbTMROZrbke+PACXAh4C/w5l6/s5MBSU+cNO7es013sa0ACeuKiUen+pKe2GX02CPJ5I0NTVTV1t4zHNbWlom7/f09HQ3lBYAACAASURBVGQsRhGZ35+cXsLOjgHGJqptHRiI8ESrMw07njCsXbOa0uLZOw8ikYgn69IzKTVy39zc7HMkIuK788+Hj38cXv96Z2PclE2bpu5ncdtMZDZBmR6eKW53O39k4u4QcFXmwhHfpHpX57J5szexpGFZaYSr39zMzT/qwOBMaykqDPFnl9TPmXgfqba2NmMxigRVQ0ODZ9fauLaAzS8rYvuOqbXdIQORCFx1+bJjJt5LyVqnNrofBR8SicT8B4lIfnjoIefrtm1TzxkDd9899TiL22YicrQ5k29jzM04ecyAtfavvAlJfOGmd7WxMau7q/7iikZetnYZfb0dWODv/28LWzYGZ62nSLYqLi727FrGGK6+Yhmnn1JIf28fiXE4c2MRr3lVCY11ma1ckLSWB58Z596nxqkrXQbAH16M8ZrTIjRUZ+9UfRHJUb///fzHZHnbTORI+f7fdb6WzH9MfI1lOA7xm5ve1QDYuK6cjo5yAJqaFr7W08uSSiJeWkzN66GhIcDZqNALxhg2rCmENWs9uR44o90/vifBs+1J4gk4NFyeeoW2rjhXXxqlqU4JuIh44NZb4W1vgxtvnP31a6/1Nh4RWTJzJt/W2nu9CkR85qZ3NSCampr8DkEk6yym5nV3dzfgXfLth7b9djLxBiiMOBs1jiXCxBLw4z8kuPaN6X+GIiKuHT7sfD10yN84RJaYtZDUyPexGWOewpl2Pitr7YYlj0i8pd5VkbyQqncdpLJbqQ0QvdiL4aEd45OJN8Cr13RSVTJG33CqcgLs3lvN8Y1VxGIx9uzZc9R71NbWUl5eztjYGIcPH06rZGEud3CIiEvveY/z9TpV9BXJNfNNO79s4uv7J77eMvH1rcBwRiISb+Vg72pnZyfg7SZRItmut7cXCFbyPTg4CHiTfPcPzexnbutZBtMua4BRlwuwDhw4QCwWSyv5rqtTFU8RmbBrF3z1q9DWBtM3Y7z9dt9CElksm+eLvuebdr4bwBhzlrX2rGkvfdIYcz/wt5kMTjyQg72rIyMjfocgIgFTV2noOGAnN4LZeaCCnQemOioiYfjwy51p5wUFBXPuCxGLaZsUEVkCV1zhlILduhVC2nNCJBe43Tq21BjzamvtHwGMMWcCpZkLSzznpnc1D3pagzQqKCJL55XrwjyxM0l8/OjXDFBfZagpz3ztsba2NgBaWloyfi0RyXJFRfChD819TB60zSS35PnAt+vk+2rgO8aYCiZKjwHvylhU4j03vat5UEuypqbG7xBEsk5jY6PfIWTcipoQZ50S5v5nZq79DoegIAJ/fl5my5ylJJNJT64jIgHw4Q/DDTfAxRcfuwxsHrTNRHKJq9aEtXY7sNEYUw4Ya+1AZsMSz7npXd2yBfbt8yYen6QaviFN7xKZVDi90echr38OL94SobnOcM8T43QdtEQjsPGEEGevj1BRmvlRbxGRGZ56Cm65xSn7mvp9eGQZ2Dxom0luyfc+5gV15VtrBzMViPjMTe9qQH65LyZRSE35VJ3vzNr2zDA//vUA3QcTHFcT4cqLK9i8rsTvsHJac3Nz2uemNj4rLy+f58il5cfU65Obw5zcHF7Ue2jTNBFZErfdBq2tMFepyIC0zUTE4c08Osl+bnpXr7/euWW5fJgiG2R3P3SI797eTyzuLPrZvS/OV77fy7uuSHLuaSqzlCmRSPq/7lMlv7xOvoNK5cJEZEls3Aj9/TBXh15A2mYi4Kz31prveRhjQsArrbUPeBCP+MVN7+oNN+gXvCzK+LjlP++aSrxTYnHLrf/Tz9mbSwmFNL03E/r6+gCoqqryORL3uru7geCNJKcqLhQXFy/4XHVwiMik/fvh5JPhtNNmzkqcvsma2mYSMEkl33Oz1iaNMV8AXuVBPOIXN72rAbF3715AI+DZ6EBfgsTEbtKnronx8lXxydeMgRdfamXNiasIhUL09vYyMHD09hKpJQE9PT2EQqG0ainno3ST76S1xBLOjt/WWozxrnNkaGgICF7y3dnZCaS3fMWLmuYiEhA33OB3BCKyxNzOQ/y1MeYNwM9svldGz1VuelcDYmxszO8Q5BhKi0OMjzu/QsaTUFpsOTwylcyFFzDqfeDAAQoLC5V8Z9Cjz8f4r9+NcOF6Z/vvW+8Z5K2vKeHk46M+RyYikgfOPdfvCESWXL5nkm6T72tx6nonjDGjTA6CWM2PyxXqXQWCNSV3seIJy133DfL7hw+TGLe8ckMJV1xQQVlJ5naYXlYa5pQ1RTz14ihP7izgyZ3OModIGDasLea1Fy6fPLampmbO0m9+7cCdL57ZFed7vxgmnpiaInZw0PLN2w7zV28uo/k4bRmSCa2trYA2fRQR4MEH4YMfhB07IBaD8XEoLYVB7X8sElRuS40ty3Qg4jP1rgL5k3xba/n8d7p5cXdscv31r+4/xLZnRvj8X9VTWJC5BPx9b6rhH7/VTf9gDAMMx0I01kX4yzdpBDub/PwPI5P1rn/35NS/TSwBdz0wyntfp03FREQy6gMfgB/+EK68ErZtg+99D1580e+oRBbF5vmi7zmTb2PMydba54wxm2Z73Vr7aGbCEs+56V1taPAvPo8kEk62sZidoYPg+bYxXmqPzdj4LDEO/YfGuf+xYS44I3OJ1bLSMP/44Xqefa6VWNxSXtXE6pUFnq4llrlZa9l3YKoQ5+HRCCfUD/Py5oOAszygtdUpx9Xc3EwkEqGvr29yXfl0LS0tadfrzvWfQxGReZ14otMmC4fhqqvgzDNnvp4HbTORXDJfy+Za4BrgC7O8ZoELljwi8Yeb3tWA1JJMZ4fhlPb2diD3p3y+0BYjkZjZ83jRllGOqx4naodpbXXW9BYWFk5uXLd3796j1tMXFxfTkMYffmMMxYXObXVTetPH003o8tVCamYbY4hGIRaf/XWvNqRfTG1yP9XX1/sdgojkgpISZ0DkFa+AT3zCSbQPH555TEDaZiLgrPf2e+DbGNMGHALGgYS1douX158z+bbWXjPx9XxvwhFfzde7GpBakukkg0thf2+crgNxVtYXUFOZ3SN2FctCRCOG8djM34DGQCQSjBHohSSTsvDOijPWFfDAUzHGJwbAd3aVsLOrhGgE/vTMIlavLppxfFVV1azLNnp7ewHmXL+fa0pKSvwOQURywS23QDIJX/safPGL0NEBP/3pzGMC0jYTyTLnW2t7/LiwqwzBGBMF/hI4Z+Kpe4BvWmuPMS4igeOmd1VmFU9YvvS9bh7bMUI04jw+e3MZ7/nzWlc1q3v7E/z87kGeaR2ltjLCn51fzroTiuY9bzHOWF/Cd293pghf/mqnJvHtfyymIGr43EfqaVh+9G7WKt0WbAtNgi8/u4jn2xP0DyUnR8ALo7BieZjzNrmfrZAqF5dO8t3V1QUEbyR5eHgYSC8Jr6ioWOpwRCRo2tuhuRmOP955XFQE113nb0wiSyTfdzt3OxTyb8Bm4F8nbpsnnpNcMb13tbT02L2rAdDR0UFHR4dn1/vxr/p4fMcI8YRleNQST8D9jx7mNw/Mvxtpb3+C//vFLu5+eIh93QmefGGUz3/nAPc9OpTRmIsKQ3zm3XVUlYepLEtSWZakpMjwwbfUzJp4H4vXn/V03d3ddHd3+3LtIBoYGJi1bvqxlBSF+NQ7lvHG84s5qTnCupYIb3lNCX/1pjKiHs2OGB4enkxkg6Srq2uy42Ch5tvlX0TywBVXTN1/wxvmPjYgbTORLGJxymhvN8Zc4/XF3c6NPc1au3Ha47uNMU9kIiDx2EJ6V1esCMTaonjc2wkZv3vwELGEZdNJcdafkOCXDxaw/2CYJ587yJoVvUcd39jYSGFhIYODgzz/QhevP2d8shfwmV1RHnuxgFtu7+esV5S6GjlP1wlNhXzt0yt47vlRrIVv/v8rFzzlfDGf9WITjKEhp4Oirq5uUe8jx1YQNZy1oZCzNqism1eSSWeev/Y0EMlj04cGJ8oPHlNA2mYiKcnMLvquNcZsm/b4JmvtTUccc5a1dp8xpg74jTHmOWvtHzIZ1HRuk+9xY8wJ1tqdAMaY1TiL1CXorrgCHp3YtP4Nbzh6tHu6zk5vYvJROglhauOy9SckqK+e2iE6VaZpLodHkpN/Y4+vH+dAv9PgbmkY48WXWo8aYZxrZ+nKykqqqxdWrisUMhQVOtfweq23pteKHK2trQ3I/U0fRWQO06t/zFcJJA/aZiIL0DPfBmrW2n0TX7uNMbcBpwNZl3x/HPi9MaYVMMDxwFUZi0q8s5De1TyQTkK45ZRS7p+YJt51MMT+g2GiETh+ZQWrVx87GS4vL+eh50Z4Zqezg/ipa2K8tHfiR9JCOOw+GU5NzV1o8u2nWCwGQEFBgc+RiIiIZJEnnoDycqeNNjLi3AfnsTEzy8CKBIjF3zXfxphSIGStPTRx/2Lgb72MwVXyba39nTFmDXASTvL9nLV2bJ7TJAgW0ruaB9JJCN9xeTXPtY4SCjnL5osKDcdVR3j9n1TOe+6fXVDBi+0HiMUtj73oXLMgCtXVlZx4wrFH4Y/cWTo1VTUdfu3MvGfPHkAjfLluMf++0aj7/QdERHLGuCaXimTIccBtxsl5IsB/Wmt/6WUAbnc7fwL4IfBfqannkiNysHd1MclkOglhxbIwX/rUSp7ZsZNYLMlH3l7HK15WTNjFeu31a4q46ooqbr2zj0QCktbyyg2lvOt1C50+nv760MXsJO1nSaVIJLvLuWWbIHZyNDU1+R1CWvwqdygiIpLVrL8j39baVmDjvAdmkNvW6+XAm4D/MsYkgR/hJOLtGYtMvJGDvavpJpPP7hzlwP44iXHLYzsHuPTVyygpdpfURiOGtSesABaekJ53Whmv3lTKwYFxykpClBQtLJGOJywv7jpAJAxrVi3HeDiDwc8SUM3Nzb5dW9zr6XHKaNbW1vociXeKi4v9DkFERCQLWZJ5XmvMVSvfWrvbWvtP1trNwFuADcCujEYm2SeHa0ze9+gQn//OAYaGk4yOWX7++wH++qtdxOLup3OXlJSkPRIcCRvqqiMLTrwffHqED/1zDx37+tjV3sfHv9zL3m4XO71N097eTnu7+tFyXU9Pz2Qi7KXBwUEG05xB09nZSWeANhM6MGi599kkv3hkkF88Msh9O5L0HFpYI+PIJSUiInPK4baZSC5y3dI3xrQYYz6BM/38ZOATGYtKslNAakkuNJlMJi233N5PLD7VSI4n4ODgOA887r7GsNc1ifceSHDzzw8xFrMkk5C0cHAgyT9/r4/xBZRxSCQSJBILS9hT/EzcF1NLOR8tJgn2y8jICCMjI36H4coL+5L8YYdl/wBUR3uojvbQ2Q/3PmvZud99J56SbxFZkIC0zURSbDJztyBwu+b7ISAK/Bi4cmK+vOSbgNSSXGgieWg4yWhs6ic2tXy6tChBNLmP1taZPyZ1dXWUlZUxMjIyY1RudHSUoqIiz9bW3rt9ZMaqgeUVCa48p487Hqrm2dYYDZWHjkq2QqEQLS0tAHR3dzM0NDQZdzrSTdph8dOQvezoEJnL4IjlqQ4Yn+UP/3gSHm+D+gpLadH8S0JSP1Pa00BEXAlI20xEHG7/ur/TWvtcRiOR7Ldt2/zHBFBpcYhwyBDH8syuKEMjTgM5GjEUFrhfP11UVERl5fw7nC+VwaEkqQHu5zqKgFHA2chiaNiCy1C8jjulPLW5n0jAvdjpzD45FmvhxS7LK1rm/32SmkkSxA3yRMQHOdo2k9zklBrL7zXfbpPvP59tEydrrad10cRn27c7Paw5JhI2XHbuMu6459BkuS9j4PBohJNPaqKsJDzrecXFxb42kDeuLeSJF8YYi8NTu4p5apezyVM0Yjnp+CjVFbVzji7X1dVRV1fnVbhHGRtzqhUWFhb6FoNk3mJ24g+K3kNOg2K6ovAoBWaMmC2kJHSI5KFeWo+YM7Zy5UoKCgoYGBigt7cXYFEzUUQkD+Vo20wkV7lNvg9Pu18EXAbsWPpwJKtdfrm/9QEy6PV/UsGy0jB33DPI0EiSl59QxNu3Vh0z8c4Gp728kF8/GKHzQILYxOzvwiicf1ox1RXZG3fK3r17AY3wecWvJDi1zCEdQemYCR/x0Q4kKo46xm0RAr9moohIQOVw20xykGXOmWL5wFXyba39wvTHxph/AW7PSEQii1RWVrbgc4wxXHzmMi4+c1kGIsqMSNjwqauquO+xER5+epSiwhDnbylm49oCz2JI57NeKtFo1LdrB9FikmC/NDY2+h2CKy3LYWAYEhMNiv54Ff3xqU3TRu0yqo8r5/jls2fgFRUVVFQcnbCLiIhIbkl3R5cSQMNVkpX8nErttYKo4cLTS7jw9PRKnC2WH59172CSux+Ns3NfLeUlhnMSCU5Zlf2bU/UPWR59cZyBw5aW40KcsipENOJdTXavWWvZ2wu7O/YznoTq2jpOXmmIhHPvez5+ueGZPXYy+Z7OANEIrKzxPCwREZGsozXfLhhjnmJqSVsYWA5ovbeIeKrrYJKv/myUeMIprdYzYNlzIMbZG5JceoZ3I/4L9WTrOD+9L4G1zu7XT7Ym+fV2eO/WAipKvUlGu7u7AW86TKy13Plwkuf3wJaVzq70v9xuue9pyzsuDLna9RumliZk+wh4JGy44BSnrNhYfGoEPBKC4gI4Z50hHMq9TgcRERFZGLfDRZdNu58A9ltr068xJJJBbW1tQDCn2QaN15/17ffHGIs7909f3QPAw6213PtEgrNOiVLuUSK7EMOjlp/elyAxrSxcLAHxcfjZfXGuusSbToOhoSHAm+T72Q7L83uc7zElnoDBcbjrkSRXnu1uT4LUpnxBUFZkeO2p0D0I+wecvur6CsPycmdZi4iISL6zMFmpJ1+5XfO92xizETh74qk/AE9mLCqRRUjm+04OHlrMZ51OErhz39T1qktjVJfFqC6NYQzs2l3IxnVNgDNiemTiVlxcTENDAwAdHR2UlpZSXV2ddvxuPd2WnNxs64TlAxxfcwiAe19Ywa6uEPu7ezk8NHDUeamN6Hp6embUa6+srPQk7sV45AU7I/GuKBply8o9bNuzkl37Yc/eLmJjM+u0R6NRmpqcf7/Ozk5GRkYCt/O3MYbjKuC4CiXbIiIicjRX298aYz4MfB+om7h93xjzwUwGJlloYgqoyFIoKytb8IZt03eVbj1QxsGhiVFjAwuZ1TswMEB/f/+Crp2usbhlfCIRPb7mEFUlU50CxjBjRHw+o6OjnsW9GEMjU/f3DpQzMDqVQIdCzLo2ejba+VtEZB5qm0mQWLBJm7FbELiddn41cIa19jCAMebzwP8CX81UYJKFVEtSltDIiJOhFRcXuz7n1LVhtj03zngSXugq54WucgAKInD9/zf1PvOtES4p8W6DupbjQoTD4yQnFur0DRdy93MrAVhWDA311YTMsXfjqq2dqteemuaf7Y6rhEMTCXh7fxXt/VM7f2Nh5Yrj5tx4LTVDQURE5qG2mUiguC38aoDp4zPjE89JPrnpJr8jkBzS2dlJZ2fngs657JUF1FQYCiaqjEXCzk7Sb7u4kIJodv5KWrnc0LzcEDlimXM0DJecHia0gPXALS0taa+vj0QiRCLe7Ap/5rrQUd8vOP9em04kJ3c8FxHxhdpmEjDWZu4WBG5bYjcDDxljbpt4fAXw7cyEJFnrjjv8jsCV8vJyv0PIG15/1sWFho9eWcQzbePs6kxSXgqb13q70dr4uCVpcV0mzBjD2y+K8rtHE3QcKCcxDrUVhtdsCbPueHcbjy2F5uZmz67VWGO4dIvhl9vs5Hr38SS8bCWct95tn6+IiMwrIG0zkZRkQKaHZ4rbDdduNMbcA7waZ8T7KmvtY5kMTLLQ1q2B+CWfmqIrmefHZx0OGzacEGHDCem/RzrTzgeHLXc9kmRnp8XiTK2+dEuYlbXzJ+HRiOGS06PAcqy1ae9+7WW5sMU65fgQJzVadu2H+LilqdZQXqIRbxGRJRWQtpmIOOZMvo0xRcB7gROBp4B/VYmxPHbnnX5HILIk6uvrF3R8LG759q/GOTzqlMkA6OqDW+8e56qLwhxX5S6pTCScX5/pTv9eTLmwrq4uYOHf+2JEI4a1jaBVSiIiGaK2mQSItRYblPnhGTLf/L/vAltwEu9LgX/JeEQii9Ta2kpra6vfYeSFfPmsn2xLMhafSrxTEuPwh6fdl1trb2+nvb19aYNzaXh4mOHh4fkPFBEREZGMmG/4ZZ21dj2AMebbwMOZD0lE8oGXI7BHSiXAbtdB797PZN3qlqp+VlYO8PjeeoZihYyODNLa2nfUOStXrqSgoICBgQF6e3sBAle3WkRERGQpWfdjFjlpvuQ7nrpjrU2ku05RRORIXpb7OlJq+rdby0qcOuJJCysrB6gonqrVXRR1/z6qWy0iIiKSv+ZLvjcaYwYn7hugeOKxAay1VttKi0haUlOg/UzC3dp0YojtL42TnBj9HhgpZChWSDQMa4+vYPXqqmOeW1FRQUVFxZLE4VWpMBEREZFMSOb5mu85W3LWWu/q4Ej2u+wyvyOQHJLaAGz16tU+RzK/2nLDa7cY7tpmCRln7XckDOtXGTas8m5G0GLKhUWjCxiiFxGRYFDbTCRQNIwi7gWklMVSjTLK/PLps964OsyaRsvOnQZr4T2XhqleFpylOE1NTX6HICIiSy0gbTORFO12LuLW1q1+R+BKTU0NNTU1foeRF4L6WZeVlVFWVrbg80oKDaua61h9fJ2nibe1sKcXnn6hixdau0jm998tERFJCUjbTEQcGvkW9665xu8IXEkmnW0UQyH1LWVaUD/rdOpkp6STtC/GoRG44xEYicHJVcMYAw/dC1tPg8pS9+/T2dkJQENDQ4YiFRERzwWkbSYCzmBCMs9HEILVYhZ/bd7sdwSutLW10dbW5ncYeSEfP+uRkRFGRkY8uZa18D/bnQQ8VerMWjg8Bndsc+675WXcIiLikYC0zUTEoZFvca+xcWGtfZE5+DkCm+owaGlpWfC5qRFkLzaKOzAIQ6POBm8ppdFR1lZ1sGuwib0HIRzrPCqpLiwspLGxEYC9e/cyNjamGuMiIrlIbTMJmHz/76qRbxHxRXFxMcXFxb5cO5lMTk6Zz2aHRpy6jindw5UcjjsJtJ143S3VGBcRERHxl0a+RcQXQ0NDgPdrqIOksnRmD/H+4Wr2D1cDTqmzylJoqJp7BkFqBFxERETEbzbP13wr+RYRX3R3dwNKvudSs8y5HRhkxg7nBlhWBPUayBYREZGAsNaSzPN550q+JedUVVX5HULOs9byYie0HqgkloCXBi1nrIGK0uDUvQ6KSzfBLx+DnkEwIWckvLLEed7o4xYREREJDCXfknOUfGfeA8/B47sgMe581uYg7OyEvzjbUlWW/RlheXl52ufW19cvYSTzKyqAK86AviHoH4byYmc0XERERCRoNO1cxK3bb/c7AlcSiQQAkYj+e2fC8JjlsVYYT0I05HzW8WSEeAL+9zl47RafA3ShtrY27XNLSkqWMBL3qsqcm4iIyKSAtM1ExKHsRNwLSC3J9vZ2wJtSUPmoqw/CISf5Xl/XQVnBKEMxZwfukIGBgRoqKiqIxWLs2bPnqPNra2spLy+noKCAWCzmdfiLNjw8DPiXhIuIiEwKSNtMJCXfR75Vakzc2xKAIU3JuMLoVN3prsMVk4k3OMm3W8uXL/et9FVrayutra1pndvV1UVXV9cSRyQiIpIGtc1EAkUj3+Levn1+RyBZYEU1FEYgnoB9h6rZd2iq9NWZJ0NFhZOBFxQUzDn7oLCwkMLCQk9iFhERyUlqm0mQ2JnVW/KRRr7Fveuv9zsCyQLGGK54JZQUQDQC0bAzDf2Eeti4yu/oRERE8ojaZiKBouRb3LvhBr8jkCxRs8xw9UXw2s1w/np467lwySZDSLWvREREvKO2mQSIxVnznalbEGjaueScmpoav0PIC6GQoaXO7yhERERERIJBybfknIqKCr9DkCy3mP8jDQ0NSxiJiIiISL6wWBuMEepMUfItOSdVvqqgoMDnSCRbLWZ2RHFx8RJGIiIiIiL5Qsm35JxUbWnV+ZZjSSaTAIRCC9/2YmhoCICysrIljUlEREQkp1lIBmRtdqYo+Rb3NN1WckRbWxuQXgdNd3c3oORbRESygNpmIoGi5FtmZa1l935Lz6BlZW2I+mqjWpIiIiIi2URtMwkYrfkWOUJi3HLL78bpOmhJWjAkOWWVYesv/g6jkhYiIiIi2eH661XrWwIjVWosn6nOt0sHBiyPvTROx4FkzvfYPL4zSWevJZaAxDjEx+HpXZbBYb8jE1mc0bjl6Y4E/Yct/cOWFzvHSYzn9s+ziIiIiGQHjXy78OvtCR7ckSRknB6bluMMb7kgQjhkMn7t/sOWZ9stWFh3vKGyNPPXfGmfJT4Oq2r6OW7ZYR5saySRhBfe+V5qWltnHBuNRmlqagKgs7OTkZGRGa9XVlZSXV2d8Zinq62t9fR6Egxjccv9zyWIJ6A2DFho3Z+keyDJq06KEDKZ/9kSERFZUhr1liCxGvlW8j2P7r4kD+5Ikhifeq5tv+XZ3UnWrwpn9NqtnUl+dF+S1ED7vU/Dn58d4oSGzE5YqCmHcAiaqgZZXuYk09EwvOKCU+l48AHX7zM8PExhYWGmwjym8vJyz68p2a91/zjxcacD7XDSqfOdtHB4DPb3Wxqq3CXfjY2NGYxSRERkAVas0LpvkQUwxoSBbcBea+1lXl9fyfc82g9YpjfJz1vbAcDoALS2Oq9UVFRQU1NDMpmc3EV5uqqqKqqqqhZ0XWstdz48M+kHuPPhJB+63GAyOEp3xklhHn0xAcCBoWLCISgtguiB/XPuDt2QJTtujo2NAfiS+Ev26h60kx1Zw7aCEAmWh9sB6OmEkT7nZ6qmpoaKigpisdhk2brpamtr1cEjIiLZobPT7whEFsCS9H/5mRnsQgAAEkdJREFU7oeBHYAvjTkl3/OoXmY4Ms81BqIL/OQSCSeZjUTcnZhMwsDEGuuWqn4Gxwo4OFxChGFad/VwZOrd0NBAcXExQ0NDk6WQUhY69bu81PCeP43w0k6IJeDMdYZXvSyzo/xLae/evYDqfMtMkTkmjGjGuYiIiEhuM8asBP4U+AfgWj9iyGjybYz5DnAZ0G2tPSWT18qUVfWGhhrDvh5nHfQfdzZRWgTvvzxKUcHMFnsoFDpmwtc6sVbabUIYCsGyYjg0AisrB0gkwzy4u4SSQo5KvOcyOjpKf3//gtddV5YZqpeZiZjT+2+SSoI1TVeyQVNtiOf2JEntr5YkwoHxZkIGzmgOU1k6MzsvKChQB46IiIjIEvJ5zfeXgE8Ay/wKINMj3/8BfA34XoavkzHGGN55UYSndiXZ2WlpqILNa8NHJd6ZuO5rTwvx0/uTzkh7eJxIGM5aX8bqxmPPkigrK6OsrGzycWoKdjqmv086FnNtkaW2siZE94Dl4JBlPOk8FzLQUhc6KvEWERERkcCpNcZsm/b4JmvtTQDGmNSA8HZjzHm+REeGk29r7R+MMS2ZvIYXImHDqSeGOfVEb6+7tjHEuy8xtO92Ev13XxKmtnxhSf9i1j3X1dWlfa5ItgkZw+bVYQ4OWboHnOoFK6rDLCvWnHMRERGRTLOQ6ZLNPdbaLcd47SzgcmPMa4EioNwYc6u19m2ZDOhIWvOd5WrLDYOlU/cXanBwEFiiHcCvu27x7yHiI2MMNcsMNcs00i0iIjlAbTMRV6y1nwI+BTAx8v0xrxNvyILk2xhzDXANQHNzs8/RZEZXn2Vw2FnHPTJmKS70bqStp6cHSC/5Tu3c3tLS4jyxgFqSySQkkhD2YVBRI/YiIiKSF1TnW4LEQlJ1vv01MQ//JoAtW7bk3L/Gwy9aHnkRqouqCRt4oB3+4mxLZan7rNSvEl7JZHLmEy5rSbbuh/t2QGNJMQA9STj9RO92lF7sWnURERGRQFCdb5EFs9beA9zjx7V9T75z2WjM8vALMJ6E7sMVFIbjvHz5Ll7aCdXT8sNU3eCxsbHJHcKnq6ury46Ectu2eQ8ZHIF7nnG+512DTqdB5DDULIMT6zMdoGNkZASA4uJiby4oIiIi4gcXbTORbOLzbue+y3SpsR8A5+HsPLcHuM5a++1MXjOb9B2GcIjJnZVTYgl/4lm07dudHtY5tHXD9H0UTqzooCAcp68bWifqlpeUlFBf72Ti7e3tkzXQU8rKyhY1dbyzsxNQnW8RERHJcS7aZiKSPTK92/mbM/n+2a6qdGbiPTYe5bGuVaxphDNXHz0Hu7CwMLsTxssvn5lZz8KY2euQaz9pERERkSXmom0mkj1spnc7z3qadp5BRQWGV51kefB5JwkPhyESgjNP9i6GlStXpn1uOpu0ra6DbS/h1BIAXhpoIhKC80+BllkGs4+1yd5Rm72JiIiIiEhgWQv2yD2l8oyS7wzbfKKhebll134oKoCTGqEw6t04cEFBQdrn1tbWLvic0iK4+BVw7zMwEnOm3W9aPXviPZejNnsTEREREREJMCXfHlheYVhe4f11x+KW1j0DxMeh8bgKapZ5k/Q3VsObXw1jCSgIOyXWREREREQkv6nUmOSkQyOWXzwOzcUHwcKv91dwSpNlfbP7BLy1tRVIb+MyY6AouuDTlkRqMzcREREREZFsoeQ7Rz26a2JX9YnOpfEkPNUOa+otRQW5vf1ZSUmJ3yGIiIiIiMgRtOGa5KSeQ1P3i8OjnFi2iz2jTfQPRyg83EdfX99R57S0tBAKhejt7WVgYIDR0VGKioqmDpilBnmmpLPZW8rwsFPTTEm4iIiI5DQP22YisnhajZujqkqdr32xCkbGnQR6PAnlxe7fo6ioiMrKyqkntm9fwgjnVltbm9aGbwBdXV10dXUtcUQiIiIiWcbDtpnIolmLTWbuFgQa+c5Rm1ZB9yD0xavpjVUTDsGaeigpNJQUVlFVVXXMc2tqaqipqTn6hZtugq1bMxi1iIiIiLimtplIoCj5zlGVpYatmy0vdcJIHJproOHY+bY7d9yxJLG5sZjN3kRERETygodtM5HFshCYEepM0bTzHFZaaNjYYnjlGsOKaoMxi9xoTT2rIiIiItlDbTORQNHIt7h3551+RyAiIiIiKWqbScAkbdLvEHyl5FtyTkNDg98hiIiIiIiIzKDkW3JOcfECtnQXEREREZHMs1rzreRbslJFRUXa5w4NDQFQVla2VOGIiIiIiIgsipJvyUqzljpzqbu7G1DyLSIiIiKSLSzBqcedKUq+xb3LLvPsUsmksxlDKKQN+UVERERm5WHbTGQpWJvfybcyG3HPw1qSbW1ttLW1eXY9ERERkcBRnW+RQFHyLe6plqSIiIhI9lDbTILEOrNbM3ULAk07F/euucaTy4wnEiTHxwFnaooxxpPrioiIiASKR20zEVkaSr7Fvc2bM36JoYE++g50EY85yfe+XS9Qt7KFaEGh6/dobGzMVHgiIiIi2cODtpnIUsr3Ddc07Vzcy3BSm4jH6TvQBdM2YkiOj9PbtWdB71NYWEhhoftkXURERCSQNOAgEiga+ZasMXr4EAawQEHYmWqetJa+QyMMt7bOOLampoaKigpisRh79hydnNfW1lJeXu5B1CIiIiIiMh+LxdpgrM3OFCXfkjXMtLJi05PvdCQSiSWJSUREREREZCko+ZasUVy6jD66cMa+HSEToraqjOUrmmY9p6CggNWrV3sUoYiIiIiIpMVqzbfWfEvWCIXDLG9sJhyJODucG0NRSQk1x63wOzQREREREZFF0ci3ZJXC4hIaWtYwnohjTIhwRP9FRURERERyQb6PfCuzEfduv92TyxhjiEQLPLmWiIiISGB51DYTkaWh5FvcUy1JERERkeyhtpkEiiWZ57uda823uLdli98RiIiIiEiK2mYigaKRb3Fv3z6/IxARERGRFLXNJECsdjvXyLcswPXX+x2BiIiIiKSobSYBY5PJjN2CQMm3uHfDDX5HICIiIiIpapuJBIqmnYuIiIiIiEhmadq5Rr5FREREREREMk0j3yIiIiIiIpJhFqtSYyIiIiIiIiKSSRr5FvcaGvyOQERERERS1DaTALFAUmu+RVxSLUkRERGR7KG2mUigKPkW91RLUkRERCR7qG0mQWJV51vJt4iIiIiIiEiGac23uKfeVREREZHsobaZBIpVnW+/A5AAWbHC7whEREREJEVtM5FA0ci3uNfZ6XcEIiIiIpKitpkEjOp8i4iIiIiIiEhGaeRbREREREREMsuS92u+lXyLiIiIiIhIRllsYEqCZYqmnYuIiIiIiIhkmLE2e4b+jTEHgN0uDq0ABtK8zGLO9fPazUC7D9fV5+XduX5eW5/Xwvj1eS32fH1ewThXn9fC6PNamP/X3r2GWlaXcRz//vIKhiVewLyNRkOYguMtIy0dukqhZhdNshcSJiRoGCSWGL2prBdFYFlZWNlopV2oNCqmIFJzdBw1tLyBo4NmVkjFEM7Ti/M/uTxn7+OsObNnn3329wOLs/ez1tp7rd/8z3P4n7XOHvPqZzF5Lfa9J3Ff8+pnobwOqap9t/F1l6QkNwP7jPAtnq6qt43w9RevqiZuAa4ex77jfG/gr5N2zOY1Oe9tXpOR15jP2bzMa6nua17mtSTzmuBzNq8Jyctl8pZJve38p2Pad5zv/Y8xva957bh9x/ne5tXPuPJa7P7mNRn7mlc/5tWPefWzmLwW+96TuK959bPYvDRhltRt5xouyR1Vdey4j2NSmFc/5tWPefVjXv2YVz/m1Y959WNe/ZhXP+Y1fSb1yvc0unrcBzBhzKsf8+rHvPoxr37Mqx/z6se8+jGvfsyrH/OaMl75liRJkiRpxLzyLUmSJEnSiDn5HpMk1yR5Ksm9ndoVSR5Psr4tp7b6OZ3a+iRbkhzV1q1N8kBn3X7jOqdRGpRXq1/Yzv++JJ/r1C9N8mBb99ZO/Zgk97R1X0qSHXkeO0qfvJK8Ocm6lsu6JKs72zu+5ue1Isl/Opl8pbP9VIwv6J2ZPWxwz7++c96PJlnfWWcP28q87GG985r6HtYzL/vX4LyOSnJrO+87khzfWWf/2sq87F9TaNwftz6tC/AG4Gjg3k7tCuCSF9nvSODhzvO1wLHjPp8x5XUK8Ctgt/Z8v/b1cOBuYDfgUOAhYKe27nbgdUCAXwBvH/e5LYG8VgGvaI+PAB53fC2Y14rudnNeZyrGV9/M5uxnDxu8/gvA5e2xPaxfXvawfnlNfQ/rk9ecuv3r+dovZ8cHcCqwtj22f/XLa+r717QtXvkek6r6HfDMNux6NvC97Xw4S96QvC4APlNVm9s2T7X6acCaqtpcVY8ADwLHJ9kf2LOq/lAzXe1a4PQdcwY7Vp+8ququqnqibXMfsHuS3XbYwS4BPcfXQNM0vmBRmdnD5mhXf97L87nYw3rkZQ/rPb4GcnzNeJG87F+dMrBne/wyYPZ70P7VIy/71/Rx8r30fCTJhnbLyl4D1r+P+Y3/m+12lE8u11t4hlgJnJTktiS/TXJcqx8APNbZbmOrHdAez61Pi2F5dZ0J3DU7eWocX/PzOjTJXa1+UqtN+/iCrRtj9rD5TgKerKq/tOf2sIXNzavLHjbfoLzsYcMtNL7sX8+7CLgyyWPA54FLW93+NdiwvLrsX1PAyffSchXwSuAoYBMztz39X5LXAv+uqu7fWJ5TVUcy88PiJOADO+hYl4Kdgb2AE4CPATe0xjSoOdUC9WkxLC8AkrwG+Cxwfmcfx9f8vDYBB1fVKuCjwHVJ9sTxBS8+xuxhg829mmYPW9jAq4/2sKHm5mUPW9iw8WX/eqELgIur6iDgYuAbrW7/GmxYXoD9a5o4+V5CqurJqnquqrYAXwOOn7PJWcz5gVBVj7evzwLXDdhnOdsI3Fgzbge2APu0+kGd7Q5k5vaeje3x3Pq0GJYXSQ4EbgLOraqHZndwfM3Pq91K9zeAqlrHzN+zrcTxBQuMscYeNkeSnYF3Add3yvawIYbkZQ8bYlBe9rDhho2vxv71Qh8EbmyPv8/z527/GmxYXvavKePkewlpfw8z6wyg+ymJLwHeA6zp1HZOMjt52gV4R3efKfAjYDVAkpXArsDTwE+As5LsluRQ4FXA7VW1CXg2yQntaty5wI/Hc+hjMTCvJC8HfgZcWlW/n93Y8TU0r32T7NTqhzEzvh52fAHDvyftYcO9Cbi/qrq3Y9rDhpuXlz1sQYPysocNN+j70f412BPAG9vj1cDsbfr2r8EG5mX/mkLDPonNZbQLM7893QT8l5nfBp4HfBu4B9jATPPav7P9ycCtc15jD2Bd2/4+4Iu0T5RcbsuQvHYFvsNMM7oTWN3Z/jJmfpv/AJ1P0wSObds/BHwZyLjPbdx5AZ8A/gWs7yz7Ob6G5nVmy+PuVn/ntI2vvpm17e1hc/Jq9W8BHx6wvT1sK/Oyh/XOa+p72DZ8P9q/5vf7E9v53w3cBhzT2d7+tZV52b+mb0n7h5ckSZIkSSPibeeSJEmSJI2Yk29JkiRJkkbMybckSZIkSSPm5FuSJEmSpBFz8i1J0lZIcn6SvcZ9HJIkaTI5+ZYkLUtJzkhSSV69HV7rcuCZqvr7djg0SZI0hfyvxiRJy1KSG4D9gV9X1RVjPhxJkjTlvPItSVp2krwUeD1wHnBWq52cZG2SHyS5P8l3k6StezTJp5LcmeSe2avlSfZIck2SPya5K8lprb5TkitbfUOS88d0qpIkaUI4+ZYkLUenAzdX1Z+BZ5Ic3eqrgIuAw4HDmJmgz3q6qo4GrgIuabXLgN9U1XHAKcCVSfZgZlL/z1Y/DvhQkkNHfVKSJGlyOfmWJC1HZwNr2uM17TnA7VW1saq2AOuBFZ19bmxf13XqbwE+nmQ9sBbYHTi41c9t9duAvYFXjeJEJEnS8rDzuA9AkqTtKcnewGrgiCQF7AQU8HNgc2fT53jhz8HNA+oBzqyqB+a8R4ALq+qW7X8GkiRpOfLKtyRpuXk3cG1VHVJVK6rqIOAR4MRteK1bgAs7fxu+qlO/IMkurb6y3Y4uSZI0kJNvSdJyczZw05zaD4H3b8NrfRrYBdiQ5N72HODrwJ+AO1v9q3g3mSRJWoD/1ZgkSZIkSSPmlW9JkiRJkkbMybckSZIkSSPm5FuSJEmSpBFz8i1JkiRJ0og5+ZYkSZIkacScfEuSJEmSNGJOviVJkiRJGjEn35IkSZIkjdj/ANgmtyAzwsDaAAAAAElFTkSuQmCC\n",
"text/plain": [
""
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"source": [
"# === tracé de la figure === #\n",
"fig6, ax61 = plt.subplots(1,1)\n",
"fig6.set_size_inches(2.54*6, 2.54*3)\n",
"\n",
"# add a spine to scatter to ease reading of each year\n",
"ax61.step(data_by_year.index, data_by_year['Purchpower'], linestyle='--', color='lightgrey', where='post', marker=None)\n",
"\n",
"# main data scatter plot with size and color link with variables\n",
"myScat6 = ax61.scatter(data_by_year.index, data_by_year['Purchpower'], \n",
" c=data_by_year['Wheat'], s=data_by_year['Wages']**2, cmap='coolwarm')\n",
"cbar = fig6.colorbar(myScat6)\n",
"cbar.ax.set_ylabel(\"Prix du blé en Shillings/kg\")\n",
"\n",
"ax61.set_title(\"Pouvoir d'achat des ouvriers anglais sur la période 1565 à 1810\")\n",
"ax61.set_xlabel(\"Année\")\n",
"ax61.set_ylabel(\"Pouvoir d'achat en kg de blé par semaine, moyenne sur 5 ans\")\n",
"\n",
"ax61.xaxis.set_major_locator(MultipleLocator(25))\n",
"ax61.xaxis.set_minor_locator(MultipleLocator(5))\n",
"\n",
"plt.tight_layout()\n",
"\n",
"# wages legend = size of each circle\n",
"# add above all an inset axe (do it at the end otherwise, layout not compatible)\n",
"axins62 = inset_axes(ax61, width=\"15%\", height=\"40%\", loc=2)\n",
"# no visible axis\n",
"for direction in [\"left\", \"right\", \"bottom\", \"top\"]:\n",
" # hides borders\n",
" axins62.axis[direction].set_visible(False)\n",
"\n",
"wages_levels = np.arange(5, 35, 5)\n",
"wages_lx = np.ones(len(wages_levels))*0.5\n",
"axins62.scatter(wages_lx, wages_levels, s = wages_levels**2, color='grey')\n",
"axins62.set_xlim([0.1,1])\n",
"axins62.set_ylim([4, 36])\n",
"axins62.text(0.5,0.95,'Salaire en Shillings/sem', transform=axins62.transAxes, horizontalalignment='center')\n",
"\n",
"for cur_wage in wages_levels:\n",
" axins62.text(0.60, cur_wage, ' : ' + str(cur_wage), verticalalignment='center')\n",
" \n",
"ax61.axvline(1586, ls='-.', color='r', linewidth=1)\n",
"ax61.axvline(1788, ls='-.', color='r', linewidth=1)\n",
"\n",
"# annotations à propos des famines\n",
"ax61.text(1586, 2, 'Famine de 1586, UK', rotation=90, verticalalignment='center', horizontalalignment='right', color='r')\n",
"ax61.text(1788, 2, 'Famine de 1788, Fr', rotation=90, verticalalignment='center', horizontalalignment='right', color='r')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Représentation du pouvoir d'achat par Playfair lui même\n",
"\n",
"Dans une [seconde copie][playfair book 2], toujours hébergée par Google, les graphiques apparaissent, mais en faible résolution, sinon en noir et blanc avec un effet de seuil. Cela permet de voir que Playfair a représenté le pouvoir d'achat autrement, le graphique montré au début de cette étude lui permettait de représenter les données ayant conduit au second graphique. Ce graphique est numérisé à la p. 28 du manuscrit.\n",
"\n",
"Dans ce graphique, Playfair mélange encore une fois deux unités sur le même axe, à savoir le nombre jour de travail nécessaire pour se payer un boisseau de blé, et le prix en Shilling de ce même boisseau. Son graphique montre clairement que malgré l'augmentation du prix du boisseau de blé, les ouvriers devait travailler mons longtemps qu'auparavant pour l'acheter. Mais la moyenne sur 25 ans gomme les effets des famines comme on peut le voir sur le graphique présenté à la section précédente. Playfair dit lui-même l'avoir fait pour faciliter la lecture du graphique.\n",
"\n",
"[playfair book 2]: https://books.google.fr/books?id=x51hAAAAcAAJ&printsec=frontcover&hl=fr&source=gbs_ge_summary_r&cad=0#v=onepage&q&f=false\n",
"\n",
"\n",
"## Conclusions et perspectives\n",
"\n",
"Cette exercice est intéressant pour moderniser les représentations historiques des pionniers de la statistique et de la visualisation de données.\n",
"\n",
"Il a été montré qu'une représentation qui sert un objectif, ici la visualisation de l'évolution du pouvoir d'achat, permet de faire parler un jeu de données plus facilement.\n",
"\n",
"Il est donc important de choisir la représentation des informations de manière cohérente avec la question que l'on se pose, et de choisir les modes de représentation adaptées au type des données utilisées.\n",
"\n",
"En perspective, ce graphique peut encore être améliorer avec notamment le remplacement des points par des rectangle de largeur 5 ans, et centrés sur les intervalles de 5 ans et sur la valeur du pouvoir d'achat moyen sur ces 5 ans. La hauteur du rectangle représenterait alors de manière linéaire le salaire moyen hebdomadaire. La couelur serait toujours utilisée pour le prix du blé. De cette manière le lecteur aurait la représentation des grandeurs moyennes. En effet l'utilisation des marches d'escaliers pourraient faire croire à l'utilisation d'une valeur annuelle pour tout l'intervalle."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Commentaires de l'auteur\n",
"\n",
"Il m'a fallu un après-midi et une soirée complète pour arriver à ce résultat, dont je suis très fier :) . J'imagine donc aisément le temps que cela pouvait prendre à Playfair de réaliser ses graphiques à la main.\n",
"\n",
"J'ai beaucoup appris sur `matplotlib` au cours de l'exercice, j'espère que cela servira aussi aux relecteurs de ce travail :). D'ailleurs, si ces relecteurs connaissent des manières plus élégantes de faire les choses avec `matplotlib`, je suis preneur."
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
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"language": "python",
"name": "python3"
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