{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "### Visualisation des données historiques de William Playfair : Analyse du prix du blé et des salaires (1565-1821)\n", "\n", "Les travaux de William Playfair ont introduit des façons pionnières de représenter graphiquement des données économiques. Ici, nous cherchons à recréer son graphique de l’évolution du prix du blé et des salaires hebdomadaires, en intégrant des techniques modernes de visualisation. Nous allons d'abord charger les données de prix du blé et de salaires, puis produire plusieurs représentations graphiques pour illustrer l’évolution des salaires et du pouvoir d’achat au cours du temps.\n", "\n", "Nous commençons par charger et examiner les premières lignes du jeu de données." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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rownamesYearWheatWages
01156541.05.00
12157045.05.05
23157542.05.08
34158049.05.12
45158541.55.15
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" ], "text/plain": [ " rownames Year Wheat Wages\n", "0 1 1565 41.0 5.00\n", "1 2 1570 45.0 5.05\n", "2 3 1575 42.0 5.08\n", "3 4 1580 49.0 5.12\n", "4 5 1585 41.5 5.15" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import pandas as pd\n", "import matplotlib.pyplot as plt\n", "\n", "url = \"https://raw.githubusercontent.com/vincentarelbundock/Rdatasets/master/csv/HistData/Wheat.csv\"\n", "data = pd.read_csv(url)\n", "\n", "# Afficher les premières lignes du fichier CSV récupéré\n", "data.head()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Reproduction du graphique de Playfair\n", "\n", "Le graphique original de Playfair représente le prix du blé sous forme de barres verticales et les salaires comme une ligne colorée superposée, avec une zone colorée en bleu sous la courbe. Cette approche aide à visualiser la différence entre le coût de la vie et le revenu moyen sur une même période.\n", "\n", "Nous recréons ici cette mise en page en utilisant un histogramme pour les prix du blé et une ligne avec remplissage pour les salaires." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Initialiser la figure\n", "fig, ax1 = plt.subplots(figsize=(12, 6))\n", "\n", "# Tracer les barres pour le prix du blé\n", "ax1.bar(data['Year'], data['Wheat'], color='grey', label=\"Prix du blé (shillings par quart)\", alpha=0.6)\n", "ax1.set_xlabel(\"Année\")\n", "ax1.set_ylabel(\"Prix du blé (shillings par quart)\", color='grey')\n", "ax1.tick_params(axis='y', labelcolor='grey')\n", "\n", "# Tracer la surface colorée pour les salaires\n", "ax2 = ax1.twinx()\n", "ax2.plot(data['Year'], data['Wages'], color='red', label=\"Salaire hebdomadaire moyen (shillings)\", linewidth=2)\n", "ax2.fill_between(data['Year'], data['Wages'], color='blue', alpha=0.3)\n", "ax2.set_ylabel(\"Salaire hebdomadaire moyen (shillings)\", color='red')\n", "ax2.tick_params(axis='y', labelcolor='red')\n", "\n", "# Titre et légende\n", "plt.title(\"Évolution du prix du blé et du salaire hebdomadaire moyen (1565-1821)\")\n", "fig.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Présentation améliorée avec deux axes pour les unités distinctes\n", "\n", "La représentation précédente combine les deux variables dans un même graphique sans distinction d’unités. Afin de clarifier l’interprétation, nous introduisons ici deux axes verticaux séparés. L’axe gauche indique le prix du blé en shillings par quart, tandis que l’axe droit affiche les salaires hebdomadaires. Cette séparation permet de mieux observer la dynamique des deux courbes sans confusion.\n", "\n", "De plus, cette présentation facilite l’interprétation des tendances relatives entre le coût de vie et les revenus." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Initialiser la figure\n", "fig, ax1 = plt.subplots(figsize=(12, 6))\n", "\n", "# Tracer le prix du blé avec des barres\n", "ax1.bar(data['Year'], data['Wheat'], color='grey', label=\"Prix du blé (shillings par quart)\", alpha=0.6)\n", "ax1.set_xlabel(\"Année\")\n", "ax1.set_ylabel(\"Prix du blé (shillings par quart)\", color='grey')\n", "ax1.tick_params(axis='y', labelcolor='grey')\n", "\n", "# Tracer les salaires avec une ligne\n", "ax2 = ax1.twinx()\n", "ax2.plot(data['Year'], data['Wages'], color='blue', label=\"Salaire hebdomadaire moyen (shillings)\", linewidth=2)\n", "ax2.set_ylabel(\"Salaire hebdomadaire moyen (shillings)\", color='blue')\n", "ax2.tick_params(axis='y', labelcolor='blue')\n", "\n", "# Titre et légende\n", "plt.title(\"Évolution séparée du prix du blé et des salaires (1565-1821)\")\n", "fig.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Calcul du pouvoir d'achat : quantité de blé achetable avec le salaire hebdomadaire\n", "\n", "Pour évaluer l’évolution du pouvoir d’achat des ouvriers, nous calculons la quantité de blé qu’un travailleur moyen pouvait acheter avec son salaire hebdomadaire. Cette mesure, exprimée en quart de blé, est obtenue en divisant le salaire hebdomadaire par le prix du blé.\n", "\n", "Le graphique suivant montre l’évolution de ce pouvoir d’achat au fil du temps, indiquant l’augmentation ou la diminution de la capacité des ouvriers à acheter des denrées de première nécessité." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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LWwDce9W9/OjjP6I4v5jNFZv5yktfYfCvBnPX23dx8OjBJEd5arOuWJczbdo0t2jRomSHISIiIhJ3FUcr6HV3L1JTUll06yJyMnJoaGzg5bUvc/9797NmzxoAcjNz+fK0L3PLjFvo16NfkqM+OZjZYufctEjO1Uy1iIiISCc2b+s8HI7xhePJycgBIDUllUtGX8ILn3uBhz/5MNOLp3Oo5hB3v3M3Jb8s4csvfJmNBzYmOfJTi5JqERERkU5szpY5AEwrOnHC1MyYNWQWf/70n3n6X57mvBHnUdNQw+8W/44RvxnBjc/eSENjQ4IjPjUpqRYRERHpxIJ66hmDZrR63uQBk3ngqgeY/fnZXDH+ClIshceWP8aiXSqZTQQl1SIiItKl7KzcSX1jfbLDSIgDRw6wfPdy0lPTmT5gekTXDO8znHsuuYdzhp0DwLoD6+IZoviUVIuIiEiX8dbmtxjwiwH8cO4Pkx1KQszfOh+HY0LhBLpndG/XtcU9iwHYWK7a6kRQUi0iIiJdxl9W/QWAFza8kORIEiMo/WiunrotA/MGArC5YnNMY5LmKakWERGREzS6Rt7Y9Aa/ef831NTXJDuckCDJXL139SmxAC9YpHjGoDPafW1RzyIANpcrqU4E7W0pIiIiIVsqtvDoskd5dNmjbD24FYBdh3fxk3N/kuTIYFflLtbs83oyH60/ypr9axjbZ2ySo4qf/dX7Wb5nORmpGRHXU4cLkuotFVtiHJk0RzPVIiIip7gjdUd4YsUTnP+H8xn8q8H8YO4P2HpwKwU5BQD8csEv2Vu1N8lRHpulDizetThJkSTGvK3zAJhQOIFu6d3afX1Q/rHr0K5TZmFnMimpFhEROQU551i4YyFffuHL9P95fz7zt8/wxuY3yEzL5BNjPsGDn3yQ+V+ZzzlDz6G6rpofzkv+wsC3NntJdW5WLgBL9yxNZjhxF7yImF7c/llqgKz0LAp6FFDfWE/pwdJYhibNUPmHiIjIKWRv1V4eX/E4Dy99mJVlK0OPj+s/jsvGX8ZlYy7jtOzTQo/fdvZtzNk4hwcXP8jtM29nUM9ByQgbOJZkXjvpWn6/4Pcs270sabEkQlBPfXrx6R0eo6hnEXsP72V9+XqG5A+JUWTSHCXVIiIipwDnHF/8+xd5dPmjoVKAXt16cfHYi7lq/FWMKxiHmZ1w3aiCUVw65lKeX/U835vzPf54+R8THToApQdL2Vi+kR4ZPbh2gpdUr9yzsu0Lu6iyqjI+2PsBmWmZTBvQ/s4fgaK8IhZvX6y2egmgpFpEROQUsGbfGn6/9PekWAqzhs3iivFXcP6w88lOy27z2ls+egsvrXmJP634E9/6yLcYW5D4xYFB6cfU4qkM7jWY7hndKasqY1flLvrn9E94PPEWbT11QB1AEkc11SIiIqeAuVvnAnD+yPN5+JqHuXTUpREl1ACD8gdx7cRraXSNfOet78QzzBaF1xenWAqjC0YDsHj3yblYMdp66kCQVG+s0Ex1vCmpFhEROQUESfW04o6VEnz1zK+SlZbF82ue5x/b/xHL0NrknAslmTMHzQRgdF8vqV6ye0lCY0mUUH/q4vb3pw4XaqtXviXKiKQtSqpFREQ6gS/+/Yuc9chZcdloxTnH3C1eUn1GUceStL45fblh2g0A3PHGHTGLLRKbKzZTerCUvKw8xhWMA2BM3zEALN+zPKGxJMLeqr2sLFtJVloWUwunRjVWkFSXVqj7R7wpqRYREUmyRtfIY8sf4+3St0MzyrG04cAGdh3eRX52PqN7j+7wOF+a8SVyMnOYu2Uur258NYYRtu7NzW8C3ix7Woq3HGxUwSgAVuxekbA4EiV4ATRxwESy0yMr0WlJ35y+pKems796P5U1lbEIT1qgpFpERCTJdlbupLahFoBXNr0S8/GDRW9TiqaQmpLa4XHysvP40owvAfDtN76Ncy4m8bUlVF886Fh98YjeI0i1VDYd2ER1XXVC4kiUWNVTA6RYSmgTGNVVx5eSahERkSQL78wQzMrGUjD7PbU4ulICgBum3UDv7r1ZsmsJf13916jHa4tzLtT5Y2bxzNDjWelZDDltCI2ukWV7Tq5+1bGqpw4ESfWGAxtiMp40L65JtZl93MzWmtkGM/tWM8fPNrODZrbM//h+POMRERHpjLZUbAl9vnzXcsqPlMd0/CCp7mg9dbhuGd346plfBeC7b3037ttfr9u/jl2Hd9GrW68TSleCuuqTqQPI7sO7Wb1vNdnp2UwunByTMYt7FgOaqY63uCXVZpYK/Ba4CBgDXGdmY5o5db5zbpL/kfw9UEVERBJsc8WxmWqH47XNr8Vs7C0VWyg9WEpOZg5j+8Smv/QnJ32SgXkDWbdvHY8ufzQmY7YkmLmfXjz9hNKVoAPI8t0nz2LF4+qpI2x52JaifG+x4qbyTTEZT5oXz5nq04ENzrlNzrla4M/AZXG8n4iISJcUJNWFeYUAvLIxdnXVQZI2pWgK6anpMRkzIzWDWz96KwA/mPODuHQsCTRXTx0IelWfTB1AgucbzdbkTRXl+RvAVGgDmHiKZ1I9ANgW9vV2/7GmZprZcjN72cxafAltZl80s0VmtqisrCzWsYqIiCRNUFN91YSrgGOJVSwEixSnFkVfTx3u0jGXMqLPCLYf2s5vF/02pmMHnHOh+uKPDPrICceDDiCr9qyi0TXGJYZEi3U9NRxrq7e1fGvMxpQTxTOptmYea7pMeAkwyDk3EbgXeLalwZxzDzjnpjnnpvXp0yeGYYqIiCRXMIN40aiL6JHZg80HNsdss45Y1lOHS01J5bZZtwHwk3k/iUu7tpVlKymrLqOgRwHD84efcLx399707dGX6rpq1u9fH/P7J9rOyp2s3b+W7PRsJvWfFLNxg6R628FtCevYciqKZ1K9HSgK+3ogsDP8BOfcIefcYf/zl4B0M+sdx5hEREQ6lbqGOrYf2o5hDOo5iBnFMwB4ZXP0JSA7Du1gY/lGumd0Z0K/CVGP19S5w85l8oDJHDhygHveuyfm44fqqQdNJyWl+ZQlqKs+GRYrBqU6kwdOJistK2bj5mblkpeVx5G6I+w5vCdm48rx4plULwSGm9lgM8sAPgU8H36CmfUzM/M/P92PZ38cYxIREelUSg+W0uga6ZvTl6y0LM4sOROA1zZFv1gxmKWeNGASGakZUY/XlJlx+9m3A/CL937Bvup9MR0/kn7NQV310t1LY3rvZAieb0e3km/NwJ5eW7115etiPrZ44pZUO+fqga8CrwCrgaeccyvN7GYzu9k/7WrgQzNbDvwa+JTT+xIiInIKCUo/BvT0lh2dOdhLqudsnhP1W/XBzGcs+lO35IziMzhr8Fkcrj3Mj+f/OGbjNrrGUPxnDjqzxfOCmeqToVd1UE8d3o87VkJt9crVVi9e4tqn2jn3knNuhHNuqHPuJ/5jv3PO/c7//DfOubHOuYnOuRnOuXfjGY+IiEhnEyxSHJDnJdVDeg2hb05f9lfvZ8We6LbgnlfqLVKMdT11U7ed7dVW37/wfrYd3NbG2ZFZvns55UfLKcwrZHDPwS2eN6bA69b7wZ4PYnLfZNlxaAfrD6ynW0Y3JvabGPPxgw1g1FYvfrSjooiISBI1badnZqESkNmbZnd43D2H97Bm35qYL3przrh+4/jEqE9Q21DL9+fGZh+38P7UfqVos4rzi+mW3o09lXsoq+q63cGCWeopA6eQmZYZ8/GDmepNFUqq40VJtYiISBIFSXXQoQGOtY97fdPrHR43aKU3oXBCTBe9teTrH/06qZbKH5f9kTVla6IeL5J6avC6kIwsGAl07cWKQVIdj3pqOPb7FbwzIrGnpFpERCSJgiTnuKS6xEuq3y19l9qG2g6NGyxSjHV/6pYMPm0wV0+8mgbXwLff+nZUY9U31odeFLRWTx0IFisu2b0kqvsmU/AiIuj+EmvBQsXSg6VxGV+UVIuIiCRVMFM9KG9Q6LG+OX0Z1nsY1XXVvLutY8uNgqQ6ljvzteXfz/x3MtMyeXb1s7y37b0Oj7Nk1xIqayspzi+mKLeozfNDixV3d83FitsObgu1PoxHPTV4NfuGsevQrg6/UJPWKakWERFJkqraKvZW7SU9NZ3+Of2POxbUVb+yqf39qvdX7+fDvR+SkZrB1MLEzFQD9M/tz03TbwLg669+vcPdSyKtpw4EixWjXdiZLKF66qIpcWl9CN7W8v1y+9HoGrVdeZwoqRYREUmSLRVbAC8ZTU1JPe5YkFS/vrn9ddXzS+cDXj11t/Ru0QXZTl+a8SXys/NZsH0Bz6x5pkNjBKUQkc6yjywYSYqlsHH/Ro7WH+3QPZMpSKqnF7VePx6tYLHihvINcb3PqUpJtYiISJKEelT77fTCnV58OqmWytIdSzlUc6hd44b6UyeonjpcTlYOXzvrawB88/VvUtdQ167raxtqebv0beDYgs22ZKdnM7jXYOob61mxt+vNVofqqQfFp546ELTVU6/q+FBSLSIikiShHtU9T0yqczJzmFg4kQbXwJtb3mzXuEE9dbxnPlvyqUmfYnCvwWw6sIn7Ft3XrmsX7lhIdV01Q3oPoX+P/m1f4BtVMAroeh1AtlZsZXPFZnIyc5jQN/ZbyYcLFsOqrV58KKkWERFJkqa7KTYVlIC8uunViMesOFrBst3LSEtJY/rA5CTV6anpoe3Lfzj3hxw8ejDia9tbTx0Y09erq162q2stVgyvp05PTY/rvUK9qrUBTFwoqRYREUmSIKkemDuw2eNBa703Nr0R8ZjvlL6DwzGu/zh6ZPSIPsgOunDEhUwdOJUDRw7wk7d/EvF17a2nDgRt9braYsU5W+cAMK0oPv2pwwVt9baWb437vU5FSqpFRESSJCj/KM4vbvb4pAGTyE7PZt2+dew8tDOiMYPSjylFU2ITZAeZGd8+1+tX/et//Dqi7cuP1h8NtRD8SHFk9dSBYKb6w70fdrjrSDK8tdl7ETFz0My43yuYqS6tUK/qeFBSLSIikgTOudBMdXFe80l1RmoGpxd5M7aRttYL9acuSlx/6pZMHjCZi0ZdRE19Dd9+s+0NYRZsX0BNQw0jCkbQp1ufdt2rT48+nNbtNA7XHO4y5Q1bKraw9eBWcjJzGFcwLu736929N1lpWVQcraDiSEXc73eqUVItIiKSBOVHyzlUc4huGd3ond27xfPOHOzVVb+2+bU2x6ysqWTxzsWkWmrS6qmbuv3s20lLSeNPK/7UZr1zMGt7evHp7aqnDgSz1Yt2L2p/oEkQPN+pRVPjXk8N3rsHwWLFDRVqqxdrSqpFRESSINT5I28AKSkt/3ccLFZ8a/NbbZY1vLvtXRpcA6P6jaJnVs/YBRuFQfmD+OzUz+Jw3Prara0+h6DLSUd3gQx2Vly6e2mHrk+0oJ56+qDEvQAK2uqtP7A+Yfc8VSipFhERSYLWelSHG9FnBKd1O43dlbtZs29Nq+fO2zoPSMyit/b4t4/8GzmZOczZPIeXN7zc7DnVddX8Y/s/SLEUZhZ3rL44WKy4fM/yDseaKM650Ez1jOL49qcOF8xUa1fF2FNSLSIikgTBTHVhXmGr56VYSqgLyOxNs1s9N9n9qVuS3y2fr3zkKwDc9tptNDQ2nHDOO6XvUNdYx+i+o+mV3atD9wnKPz7Y80HHg02QzRWb2XZoG7lZuQmppw4EixW1AUzsKakWERFJgmCL8qDNWWuCpPr1TS1vWV5dV837O97HMM4oOiMmMcbSDdNuYEDuAFaXrebhZQ+fcDxopTe9uOMvCEp6lZCZlsmOgzs4UH2gw+MkQng9dVpKWsLuG/y+Bb9/EjtKqkVERJIg1KM6r+2kOqirnr91PvWN9c2es2D7Auoa6xjZd2SHZ3rjKTMtk2/M+gYA33/r+1TVVh13PNj0paP11ABpKWmM7DMSgCV7lnR4nHhyzvHsmmf54bwfAomtp4ZjM9Vbyrck9L6nAiXVIiIiSRBqp9ez+XZ64QbkDWBQ/iAqayp5f8f7zZ4zd4tX+jF14NTYBRljl469lLF9x7L78G7uee+e0OOVNZUs2rmIVEuNepY9WKy4ZHfnS6pXla3iwscv5Ir/u4LSg6UM7zOcK8demdAYgpnq7Qe30+gaE3rvk50JtdnxAAAgAElEQVSSahERkQRzzoXefm+pR3VTwWx1S/2q55V6ixSjKZ+ItxRL4dvnef2qf/buz9hzeA8A80vn0+AaGNt/bNRdS8YU+NuV7+4825WXHynnay9/jQn3T+D1Ta+Tm5nLHeffwXOfe67d/bij1T2jO7269aK2oZYdh3Yk9N4nOyXVIiIiCbb78G6O1h+lZ3ZPcjNzI7omSKpf33xiXXVNfQ0Lti8A6JT11OFmDprJOUPPoaq2iv+Y8x/AsfriWJRCBDPVnaEDSENjA/+76H8Zfu9wfv3+r3E4rp50NbO/NJsvTv8imamZSYmrKE+9quNBSbWIiEiChbfTi3STkxmDZmAYC7cvpLqu+rhj7+94n6P1RxnWZ1jCZz474o5z7yDFUnh4ycOsLlsd6k8di9ZyQU31urJ11DbURj1eR83bOo+pD0zl5hdvZv+R/UwtmspTNz7FXR+/i77d+yYtLjjWVm/DASXVsaSkWkREJMHCN36JVM/snozrN466hrrQpiGBoJXe1KKpHdqJMNGG9x7OtROvpcE1cPNLN7N011LSUtI4fWD0W6v3yOzBoPxB1DfWs7JsZQyibZ/Sg6V88ulPMuvRWSzfs5z+uf352eU/48nrn2Ryv8md4ucTJNVqqxdbSqpFREQSLJipLuzZeo/qpoLWek3rqjtrf+rW3HLWLXRL78a8LfNwOCYOmEiPjB4xGTu0XfmuxG1XXl1XzQ/m/IBRvxnFUyufIisti5vPvJmXv/AyV46+ktSU1ITF0hZtABMfSqpFREQSLJipjqSdXrigrvrNTW+GHqtrqOPdbe8Cnb+eOlyfHn34whlfCH0dywWWwc6Ky/YkZrFiVW0V0x6Yxp1z7+RI/RE+NupjvPCFF7j9o7eTk5GTkBjaI5RUlyupjiUl1SIiIgkWzBAGC8YiNXXgVDJSM/hwz4eUVZUBsHjXYqrrqinpVUL/Hv1jHms8ff6Mz9Onh1cDHszCx0IoqU5QB5CHlz7M6n2rKepZxMPXP8xvL/8tg3sOTsi9OyJIqksPliY5kpOLkmoREZEEC/Wozo+snV4gKz2LaUXTAHh186tAWH/qLlJPHa5bRjce++Rj3HXJXcwsmhmzcYMOICv3rMQ5F7Nxm1PXUMfP3/s5AN849xvMGjSr0/8c+uf2J9VS2VO5h6P1R5MdzklDSbWIiEgC1TfWs+3gNgyjKLd9M9VwrATk1Y1+Uu3XU08rnha7IBNoZMFIrhl/DSkWu5SkX04/8rPzOXj0INsObovZuM35y6q/sPXgVkp6lXDR8Ivieq9YSUtJozDPq+fXYsXYUVItIiKSQNsObqPBNdCnRx+y07PbfX1QJvHWlreob6zn7dK3AZhRFH07upOFmYVmqxftjt9iReccP33npwDccPoNpKWkxe1esRZqq1eutnqxoqRaREQkgUI9qntG3k4v3Ni+Y8nLymNbxTaeWf0MlbWVDOw5sEOz3iezoK46ntuVv7rxVZbvWU6fHn24etzVcbtPPASLZDVTHTtKqkVERNqwq3IXb25+s+0TI9CRHtXhUlNSmTHIm5W+c86dQNesp463RCxWvPuduwG4ftr1dEvvFrf7xENxT6+ef1P5piRHcvJQUi0iItKG65+5nvP+cB7vlL4T9Vjhuyl2VFBXvXrfaoDQ4kU5JuhV/eGeD+My/sIdC3lry1v0yOzBZyZ9Ji73iKeg/GNThZLqWFFSLSIi0oo9h/eEOmzM3jQ76vGCpHpgz/b1qA7XtP3czOLYdc44WQw5bQjpqelsrdjKwaMHYz7+T9/1aqmvnnQ1vbJ7xXz8eAuS6q0VW5McyclDSbWIiEgrXlz/Ig6vLdvb296Oeryg/KO9ParDleSXUJjrdW/on9ufkp4lUcd1sklPTWdEnxEALN2zNKZjbziwgb+u+ivpqencOO3GmI6dKKFe1RWlcW87eKpQUi0iItKK59Y+F/p84faF1DfWRzVeqEd1z/b1qA5nZqESENVTtyyoq168e3FMx73n3XtwOC4Ze0mXXSCan51P94zuHK45zIEjB5IdzklBSbWIiEgLquuqeW3ja4CXhFTVVkW18O1I3RF2H97t9QnOKYwqts9N/xxTB07lM9O6Xj1vooQWK+6K3WLFPYf38OiyRzGMm06/KWbjJpqZhWar15evT3I0Jwcl1SIiIi14Y9MbHKk/wtj+Yzl76NkAzCmd0+HxtlRsAbySjfTU9KhiG1kwkqc++xTTC6dHNc7JLFisuGLvipiN+et//JqahhrOHn42o3uPjtm4yRC01VOv6thQUi0iItKCoPTj7GFnhzpszC+d3+HxYtH5QyIXzFSv2bsm6rIdgMqaSu5bdB8AN51xU5cvuwlKkNSrOjaUVIuIiDSj0TXy93V/B+C8YecxvcibEV6wbUGHF3aFelR3cOMXaZ+crByK8oqobahlVdmqqMd7cMmDVBytYMrAKcwc2PU7rgQdaNSrOjaUVIuIiDTj/R3vs7dqL4V5hYwvGM+QXkPIz85n7+G9HU5Cot1NUdpvVN9RQPSLFWsbavmfBf8DwOdmfK7Lz1LDsZnqoCxJoqOkWkREpBnPrTlW+pGSkoKZMXXgVADmbJ3ToTFDPapzO96jWtpnTIFXV71sT3SLFf/84Z/Zfmg7Q3sP5cKhF8YitKQLFipuKd+S3EBOEkqqRUREmvH8uucBOGfYOaHHgrrqeaXzOjRmqEd1ftdsw9YVje4b/Xblja6Rn77jbfZy4+k3kpaSFpPYki1YqLjz0E4aGhuSHE3Xp6RaRESkiQ0HNrCqbBU5mTl8pPjY7oXTBnpJ9bvb3u3QuMHb7IPyBkUdo0Qm6ADywe4POFJ3pENjvLz+ZVaWraRvTl+uGHtFLMNLqqz0LAp6FFDfWE/pwdJkh9PlKakWERFp4vm13iz1Pw35J7LSskKPj+03lsy0TDbs30BZVVm7xjx49CDlR8vJSs+iT7c+MY1XWlaYW0j/3P6UHylnygNTWLRzUbvHuPuduwH4zLTPkJ2WHesQkyqYrV5foV7V0YooqTazaWZ2q5n9zMx+aGbXmlnX2+heREQkAkFSPWvYrOMez0jNYFLhJADmbpvbrjHD2+mlpGhOK1HMjN9d9TsG9xrMmn1rmPH7GXz/re9T11AX0fXvbXuP+aXzyc3M5fpJ18c52sRTW73YafVvtZndaGZLgG8D2cBaYC/wT8BrZvaYmbW4z6qZfdzM1prZBjP7VivnTTezBjO7umNPQ0REJDb2V+/n7dK3SUtJ4/yh559wPFisOG9r++qqQ+301KM64cb1G8cLN73ADdNuoME18KN5P+KMh85g5d6VbV7703e9WuprplxDz6ye8Q414dRWL3baqrTvDpzpnGu2CMnMJgHDgRMKccwsFfgtcAGwHVhoZs8751Y1c97dwCvtD19ERCS2Xt7wMg2ugTOKzyA/O/+E40G/6ne2vdOucYOZ6sK86LYnl47JSs/i+xd8nwuGX8A3X/wmS3ctZeoDU/nxuT/m1hm3kpqSesI1a/at4bk1z5GRmsGN025MfNAJEHQAUVIdvVZnqp1zv20pofaPL3POvdHC4dOBDc65Tc65WuDPwGXNnPfvwF/xZsBFRESSKrSL4vCzmz0+ecBkUiyFD3Z9QHVddcTjaqa6c5hZMpOXPv8SV0+4mpqGGm5/7XbOfuzsZpPKe969B4fjn8f/M4U9Ts4XQ0H5R/D7KR0XaU31CDN7w8w+9L+eYGbfa+OyAcC2sK+3+4+FjzsAuAL4XQQxfNHMFpnZorKy9i0OERERiURNfQ2zN8wG4ILhFzR7Tk5mDqMKRlHXWMeC7QsiHjuYqQ5mBiV5cjJzuPviu3nw6gfp3b03b5e+zYT7J/C/i/43tFvmzsqd/HHFHzGMm06/KckRx09Q/rHt4LY2zpS2tJhUm9nNZjbK//JBvLrqOgDn3ArgU22M3dxWQ033df0lcIdzrs3miM65B5xz05xz0/r00appERGJvTlb5nC49jAjC0ZSklfS4nlBXfXc0sgXKwZJdTAzKMl37vBzmf352Xx81Mepqqvi5hdv5qInLmLHoR38asGvqG2o5byR5zGi14hkhxo3fXv0JT01nX1V+6iqrUp2OF1aazPVj+Ml0gDdnHPvNzle38bY24Hwl+MDgZ1NzpkG/NnMtgBXA/eZ2eVtjCsiIhIXQenHrGGzWt2GOuhXPb90fkTjOufUo7qTyu+Wz2+v+C2//OdfkpuVyysbX2H8/eO5b9F9APzrGf96UmxJ3pLUlFQG5HqFBBvKNyQ5mq6txaTaOXcY+Lz/5T4zG4o/0+x36djVxtgLgeFmNtjMMvBmtp9vco/BzrkS51wJ8DTwFefcsx16JiIiIlFwzoVa6Z0//MSuH+GCmeqFOxZGtBPd3qq9VNdVk5uVS15WXvTBSsxdOvZSZn9+NmcNOYvyo+Ucrj3M9OLpTC+cnuzQ4i4oSVJSHZ22FioGTRz/DfhfYJSZ7QBuAb7cxrX1wFfxunqsBp5yzq30y0pujjpyERGRGFq6eyk7KndQ0KOASf0mtXpu/9z+DMwbyOGawyzb0/b21+E9qk/mWc+urm9OXx659hF+/PEfc/qg07njvDtOiZ9XkFRvrFCv6mhEtHm9c24TcL6ZdQdSnHOVEV73EvBSk8eaXZTonLsxkjFFRETi4bk1x0o/mmuv1tS0gdPYfnA7c0vnMrX/1FbPDXX+6KnOH52dmXHd5Ou4bvJ1yQ4lYUJt9Q6orV40Wk2qzezrLTwOgHPuF3GISUREJOGeX+eVfpw7/NyIzp9WNI1nVz7L/NL5fP2MZv+7DAmfqRbpbEJJdYWS6mi0NVOdk5AoREREkqj0YCnLdi+jW0Y3zhp0VkTXTCvyFiu+V/oezrlWywTUo1o6syCp3lqxNcmRdG2tJtXOuR8kKhAREZFkCRYofqTkI2SnZ0d0zdDThtIzqyd7Du9hS8UWBucPbvHcUI/qPPWols4naPO4rWJbmy8QpWWRbv4yxMz+bmZlZrbXzJ4zsyHxDk5ERCQRgqS6pV0Um5NiKaEuIHO2zmn13FCP6nz1qJbOJzcrl9zMXI7UHWFvlTa47qiIkmrgT8BTQH+gEPgL8GS8ghIREUmUg0cPMmfLHFIshfOGndeua6cWeUn1vNJ5LZ7T0NhA6cFSAIrzlFRL51SU772Lsr58fZIj6boiTarNOfdH51y9//E4J+6OKCIi0uXM3jCbusY6Jg+cTEG3gnZdG2wC8862d1o8Z/uh7dQ31tOnRx+6pXeLKlaReAlKk9SruuNaTarNrJeZ9QLeMrNvmVmJmQ0ys28CLyYmRBERkfgJun7MGjar3deO6zeOjNQM1u9bz76qfc2eo84f0hWEelWXq1d1R7XV/WMx3ox0ULH+pbBjDvhRPIISERFJhLqGOl5a722n0NYuis3JTMtkYuFEFm5byLxt87hy1JUnnBN0/ijMK4wuWJE4CpLq4PdV2q+tHRUHO+eG+H82/dBCRRER6dLml86n4mgFQ04bwoheIzo0RtBar6W6as1US1cQSqorlFR3VKQ11SIiIiedoOvHrGGzOtxGrK266iBJGdhzYIfGF0kE9aqOnpJqERE5JTnnQkn1ecPb1/Uj3JQBUzCM5TuXc6TuyAnHg7fT1aNaOrPC3EIMY9ehXdQ11CU7nC5JSbWIiJySPtz7IZsrNtOrWy+mFU7r8Di5WbmMLBhJXWMd/9jxjxOOh3pU91Q7Pem8MtMy6Zfbj0bXqBKQDop08xczs8+Y2ff9r4vN7PT4hiYiIhI/wSz1R4d9lPTU9KjGCkpA5pTOOe7xo/VH2Vm5k1RLZUCuaqqlcwu11auIT1s95xy7D+9mzb41OHfydWZuq/tH4D6gETgX+CFQCfwVmB6nuEREROIqaKV3zrBzoh5r6sCpPL7kcd4uffu4x4P61H65/chIzYj6PiLxVNSziPe3vR91W73KmkrWH1jP2n1rWbd/HesOrAt9XllbCcBjlz/Gv0z8l1iE3WlEmlSf4ZybYmZLAZxz5Wamfx1ERKRL2lm5k/d3vE9mWiazBre/P3VTQQeQ97e/T0NjA6kpqQBsqdgCwICemqWWzi9YrPjd177Lr979FT0yejT7kZORc9zXB2sOeknzgXWs27+OnZU7W7xHVnoWR+uOcu/Ce0/ZpLrOzFLxd1E0sz54M9ciIiJdzgvrXgBgRskMcjJyoh6vMLeQwtxCdh7ayYq9K5jcbzKgdnrStZxZcib3v3c/lbWVoRnljshIzaAov4hBvQZR0quEkvwShp42lCG9htA9rTszfzOTRTsWsaZsDaP6jIrhM0iuSJPqXwN/AwrM7CfA1cD34haViIhIHAX11GcPPztmY04vms5zK59jbuncY0m13/lDM9XSFUwZOIUltyyh4mgFVbVVVNVWcbjuMFW1VVTXVnO49jDVtdVU1XlfV9dVU1VTRXZGNiW9ShiSP4Shpw1lYO7AVtcpXDz6Yp5a/hQPLX+In53/swQ+w/iKKKl2zj1hZouB8/B2V7zcObc6rpGJiIjEQVVtFa9veh3DuGDYBTEbd9rAaTy38jnml87nltNvAcJ6VOepR7V0DVnpWfRL7xfXe1w1/iqeWv4Uj694nLvOvStULtXVtdr9w8x6BR/AXuBJ4E/AHv8xERGRLuW97e9R01DDmH5j6Nc9dsnD1KKpACzYtiD0mNrpiZxo6sCpFPcsZnflbl7Z+Eqyw4mZtlrqLQYW+X+WAeuA9f7ni+MbmoiISOwt2O4lvRMHTOzwLorNGd57OLmZuew8tDPU9SMo/yjOU1ItEjAzrppwFQAPLXsoydHETqtJtXNusHNuCPAKcKlzrrdz7jTgEuCZRAQoIiISS8EGLeMLx8d03BRLYepAb7b6za1vUllTyf4j+8lMy6Rv974xvZdIV3fluCsxjBfWvkDF0YpkhxMTke6oON0591LwhXPuZSD6HkQiIiIJ5JzjH9u9pHrqgKkxHz9orTe/dH6o9KMwt5CUFG1gLBKuMK+QmYNmUttQy+MfPp7scGIi0r/l+8zse2ZWYmaDzOy7wP54BiYiIhJrmys2U1ZdRn52PoPzBsd8/GBnxXe3vavOHyJtCEpAHl32aHIDiZFIk+rrgD54bfX+5n9+XbyCEhERiYdglnp84fi4zB6P7z+e9NR01patZfEub+mRelSLNO/CERfSPaM7i3csZnVZ128qF9G/KM65A865rznnJjvnpjjnbnHOHYh3cCIiIrEUr3rqQGZaJhP7TwTgiQ+eALy3uUXkRN0yunHx6IuBk2PBooq8RETklBHq/OEnvvEQ1FVvKt8EHNv6WUROdNV4rwTk8RWP09DYkORooqOkWkRETgk19TUs3b0Uw5hSOCVu9wnqqgPqUS3SsqBn9Z7De7p8z+qIkmozOzOSx0RERDqrZbuXUdtQy+DTBpOfnR+3+0wZcHzCrqRapGUnU8/qSGeq743wMRERkU4pqKce139cXO+Tl53HiD4jAMjJzKFXljYgFmnNydKzuq1tymea2TeAPmb29bCPO4GTY6N2ERE5JQRJ9YQBE+J+r6AEpDCvMKa7NoqcjE6WntVtzVRnAD2ANCAn7OMQcHV8QxMREYmdYJHi5MLJcb/XzEEzARjae2jc7yVyMjgZelantXbQOTfXzN4GxjvnfpCgmERERGKqrKqMTeWbyE7PZkyfMXG/30WjLuIX//wLphTFb0GkyMmkac/q0X1GJzukdmuzpto51wCoIExERLqsoPRjTL8xZKRmxP1+ZsZlYy+jKFft9EQicTL0rI50oeJSM3vezD5rZlcGH3GNTEREJEZCOyn2j8+mLyISva7eszrSpLoXsB84F7jU/7gkXkGJiIjEUjBTPbEwfpu+iEh0unrP6lZrqgPOuc/FOxAREZF4aHSNoaS6aQ9pEek8gp7V/zPvf3ho2UN8Yvgnkh1Su0S6+UuWmf2bmd1nZg8HH/EOTkREJFpr963lUM0hCnoUMCBnQLLDEZFWdOWe1ZGWf/wR6Ad8DJgLDAQq4xWUiIhIrIT6UxdOUM9okU7uuJ7VH3StntWRJtXDnHP/AVQ55x4DLga02kNERDq9oD/1uML47qQoIrER9Kx+ZNkjSY6kfSJNquv8PyvMbByQB5TEJSIREZEYCtVTF6qeWqQrCHpWL9m5hFV7VyU7nIhFmlQ/YGb5wH8AzwOrgJ/GLSoRETll7a/eT/mR8piMVVVbxYo9K0i1VCb2V+cPka7guJ7Vy7tOz+qIkmrn3O+dc+XOubnOuSHOuQLn3O/iHZyIiJw69lXv45bZt9D/5/2Z+sBUahtqox5z8a7FNLpGhvUZRo+MHjGIUkQSIehZ/cSKJ7pMz+qIWuqZ2febe9w598PYhiMiIqea6rpqfrXgV9z1zl0cqjkEwOaKzbyw/gWuHBXdPmPBpi8TCidEHaeIJE7Qs7q0opTZG2dz8fCLkx1SmyIt/6gK+2gALkI11SIiEoWGxgYeWvIQI+4dwXfe/A6Hag5x5uAz+eTkTwKxWaS0YIe3SFFJtUjXEvSshq6zbXmkm7/8PPxrM7sHr7ZaRESkXZxzvLj+Rb71+rdYWbYSgNF9R3PrObdybsm57D28l78s+wuvrH+FA0cO0Cu7V4fvFcxUTyqcFJPYRSRxrhx3Jb+c90teXPsi5UfKyc/OT3ZIrYp0prqpbsCQtk4ys4+b2Voz22Bm32rm+GVmtsLMlpnZIjP7pw7GIyIiXcD7O97n7MfO5tInL2Vl2UoG5A3grkvv4tkbn+W8wedhZvTN6cuZJWdS11jHEx8+0eF7bT+0nR2VO8jJzGHEaSNi+CxEJBHCe1ZH829BokS6o+IHfvK7wsxWAmuBX7VxTSrwW7xSkTHAdWY2pslpbwATnXOTgJuA37f3CYiISOe34cAGrv3LtZzx+zOYt3UeeVl53Hbubcz+wmyuGXcNaSnHv3F65Xivlvqx5Y91+J7BLPXY/mNPGF9Euoau1LM60n9lLgn7vB7Y45yrb+Oa04ENzrlNAGb2Z+AyvHZ8ADjnDoed3x1wEcYjIiJdQG1DLbe9ehv3L7qf+sZ6MtMy+fS0T3PzjJs5Lfu0Fq+7YMQFdMvoxuIdi1m7by0je49s973Dd1IUka7pwhEXkpOZQ3ZGNkfqjpCdnp3skFoUaVLddEvy3PCtXp1zB5q5ZgCwLezr7cAZTU8ysyuA/wYK8HZqFBGRk8SDix/k3vfvxTAuG38ZXzvrawzKG9Tmddnp2Xxi1Cd4esXTPLz8Ye4+7+523zvYSXFiofpTi3RV3TK6Mecrc+ie1b1TJ9QQeU31EqAMWAes9z9f7H8sauEaa+axE2ainXN/c86NAi4HftRSAGb2Rb/uelFZWVmEYYuISDK9v/N9AG477zZ+fvHPI0qoA1eMuwLw+tQ2usZ23be+sZ7FuxYD2klRpKvrkdk1esxHmlTPBi51zvV2zp2GVw7yjHNusHOupQWL24GisK8HAjtbuoFzbh4w1Mx6t3D8AefcNOfctD59+kQYtoiIJNMHez4AYGK/iYS/wxmJ04tPpzC3kB2HdvDWlrfade2Hez+kuq6aop5F9Omm/zNEJP4iTaqnO+deCr5wzr0MzGrjmoXAcDMbbGYZwKdo0obPzIaZ/6+smU0BMoD9kQYvIiKdV31jPavKvGU0owtGt/v6FEvh8nGXA/Do8kfbdW1Q+jG+cHy7k3kRkY6INKneZ2bfM7MSMxtkZt+ljeTXX8j4VeAVYDXwlHNupZndbGY3+6ddBXxoZsvwOoV80jmnxYoiIieB9fvXU9NQQ2FeIXmZeR0aIygB+dvqv1FdVx3xdcEixfGF4zt0XxGR9oo0qb4O6AP8zf/o4z/WKufcS865Ec65oc65n/iP/c459zv/87udc2Odc5OcczOdc2937GmIiEhn88Fer/RjeJ/hHZ4tHnLaECYWTqSqtoqnVz8d8XXBTPWk/tr0RUQSI6Kk2jl3wDn3NefcZOfcFOfcLS10/BAREQGO1VMP7zM8qnGuHNe+ntUVRytYs28N6anpjO+rmWoRSYxWk2oze8DMmv0Xycy6m9lNZvbp+IQmIiJdWTBTPaJ3dLsZXjz6YtJT0pmzeQ47K1tc7x6ycMdCwNv6vLO34BKRk0dbM9X3Af9hZqvN7C9mdp+ZPWxm84F3gRwg8vfjRETklBEk1aMKRkU1Tn63fM4Zdg6NrpHHVrQ9Wx1apNhfs9QikjitJtXOuWXOuWuB6XgLCefjdfD4vHNuonPuV865mgTEKSIibdhVuYsX172Y7DAAqKypZFP5JtJT0xnWa1jU410x3luw+Iflf6Ct9exapCgiyRBpTfVh59wc59yTzrlnnXNr4x2YiIi0z43P3cglT17CS+tfavvkOFtZthLwFhpmpmVGPd7ZQ8+mZ1ZP1pStYenupS2e55wLJdVTB0yN+r4iIpGKtPuHiIh0Yvur9/PGpjcA+OuavyY5mmOLFIf1iX6WGiAjNYNLx1wKwMPLH27xvE3lm9hXvY/8bvmU5JXE5N4iIpFQUi0ichJ4Yd0LNLgGAF7d+GqbJRLxFt5OL1aCEpD/++D/qG+sb/acYJZ6QuEEUlL0X5yIJE5E/+KY2TWRPCYiIsnx7NpnQ59vP7idtfuTW6UXJNUje4+M2ZgT+k9gSK8h7Kvex8sbXm72HC1SFJFkifRl/LcjfExERBKsuq6aVza8AsDpxacD8Pf1f09aPM65UPlHR7Ynb4mZhWarH1n+SLPnBDPVEwsnxuy+IiKRaKtP9UVmdi8wwMx+HfbxKND8e28iIpJQr258lSP1RxjffzzXTPDeRJy9YXbS4tl1eBf7j+wnNyuXATkDYjr25WMvB+DFtS9ScbTiuGM19TUs270Mw5jcf3JM7ysi0pa2Zqp3AouAo8DisI/ngY/FNzQREYnE39b8DYBzRpzDR4d8FIB3St/hSN2RpMQTvpNirOuaC/MKmViJqZgAACAASURBVFE8g9qGWp5c+eRxx5buXkptQy2DTxtMfnZ+TO8rItKWtvpUL3fOPQYMc849FvbxjHOuPEExiohIC+oa6vj7Wq/U42MjPkbv7r0Z23csNfU1vLXlraTEFNRTx6rzR1PhPavD/WO7+lOLSPJEOoVQYmZPm9kqM9sUfMQ1MhERadP80vmUHy1n8GmDGXmatyjwo0O92eoXNyRnI5h4dP4I9/GRHycrLYsF2xaw8cDG0OPhnT9ERBIt0qT6EeB+vDrqc4A/AH+MV1AiIhKZv632Sz+Gn4OZATBryCzAq7VOhqD8Y1Tv6LYnb0mPzB58bKRXgfjoikdDjwedPyYXqp5aRBIv0qQ62zn3BmDOua3OuTuBc+MXloiItMU5F2qld8HwC0KPTyqcRI/MHmzYv4HN5ZsTGlN9Yz2rylYBse380dQV47wSkMdXPI5zjr1Ve9lcsZns9GxG94nffUVEWhJpUn3UzFKA9Wb2VTO7AiiIY1wiItKGxbsWs/3Qdgp6FDClcEro8fTUdM4sOROAFza8kNCY1u9fT01DDYV5heRl5sXtPh8p+QgFPQrYUr6Fd7a9E6qnHttvLBmpGXG7r4hISyJNqm8BugH/D5gKfBa4IV5BiYhI255d481SnzPiHNJS0o47FnQBSXRrvfB66qAcJR5SU1K5bOxlgNezOqinHlc4Lm73FBFpTURJtXNuoXPusHNuu3Puc865K51zC+IdnIiItCxopXfe8PNOOBYk1XO3zKW2oTZhMYW304u3oAvI06ueZu7WuYBX+iIikgyRblM+wsweNLNXzezN4CPewYmISPPW7V/HqrJV5GbmcmbxmSccL8wtZHjv4VTVVvF26dsJiyuYqR7Re0Tc7zWyz0jG9B3DoaOHQs9RixRFJFkiLf/4C7AE+B5we9iHiIgkQVD6cdaws8hKy2r2nGC2OpGt9YKkelRBfDp/NHXluCtDn/fN6RvzHRxFRCIVaVJd75y73zn3vnNucfAR18hERKRFrZV+BILWeomqq66sqWRT+SbSUtIY1is+G780denYS0m1VMDrTx3POm4Rkda0mlSbWS8z6wX83cy+Ymb9g8f8x0VEJMF2Ve5iwfYFZKZlcs6Qc1o8b1rRNLLTs1m1dxU7Du2Ie1wry1YCMLT3UDLTMuN+P4De3XuHZuQnDNCmLyKSPGltHF8MOCB46R9e8uGAIfEISkREWvbc2ucAmFkyk9zM3BbPy0zLZEbxDN7a+BYvbXyJL0z+QlzjChYpxmt78pbceeGdjFo+ik9P+nRC7ysiEq7VmWrn3GDn3BD/z6YfSqhFRJIgvJVeW4JZ3Jc3vBzXmCD+25O3ZGDPgdw267a49sUWEWlLpN0//s3MeoZ9nW9mX4lfWCIi0pyDRw/y5uY3SbEULhx2YZvnB0n1m5vepKGxIa6xBUn1yN4j43ofEZHOKNKFil9wzlUEXzjnyoH4vo8oIiIneGn9S9Q11jFl4BQKure9sW1JrxKKexZz8OhBFuyI3/YCzjlW7FkBxHd7chGRzirSpDrFwpZUm1kqoH1gRUQSLOj6ce6IcyO+JugCEs/WersO7+LAkQPkZOaorZ2InJIiTapfAZ4ys/PM7FzgSSCxe9+KiJzijtYfDdVGXzDigoivmzXUS6pf2fBKXOKCY4sURxSMICUl0v9aREROHm11/wjcAXwJ+DJeJ5BXgd/HKygRETnRG5ve4HDtYUb1HcXgvMERX3dG8Rmkp6azdOdS9lXto3f33jGPLainTnTnDxGRziKi6QTnXKO/+cvVzrmrnHP/v737Do+q2v4//l7plIQaOgQQCL1IlV4sIAhSpAkqFkDFq/KgP/XeL3jt3mtFRUFFLCgi2EAEUfRioUgApSlVioAgkBBK+v79kUkMSJlkMglJPq/nOQ8zZ87ZZ02OE1f27L32VOecf2e8iIjIKTKqfnSv2z1bi5wUDylOm+ptcDg+3+6fKiD5VflDRORC4W31j7pmNsfMNprZ9ozN38GJiEi61LTUzPrU2Rn6kcHfpfUyJinWL583y5OLiFxovB349gbwMpACdAPeAt72V1AiInKqH3b/wMETB6leujqNIxtn+/yMpHrxtsWkubRcjS0lLYVNBzcBqvwhIkWXt0l1MefcV4A553Y65x4EvJ96LiIiPslc8KVutxxNBKxbvi6Vwivx5/E/WbNvTa7GtuXQFhJTE6kSUUULsIhIkeXtb+YEMwsAtpjZODPrD5y/QKqIiPjMOZdZSu/SepfmqA0zy+ytnr91fq7FBlnGU1eom62x3iIihYm3SfVdQHHgH0BLYARwvb+CEhGRv6w7sI4dsTsoW7wsbaq2yXE7GfWqF27L3YqoGeX0NElRRIoyr0rqOed+9Dw8BozyXzgiInK6jzal91J3q9uN4MDgHLfTvmZ7Ai2QVXtWEZcQR6mw3BmqkdFTXa98vVxpT0SkIDpnT7WZvWFm083s2bwKSERETvXxr3+V0vNFRFgELaq2ICUthS92fJEboQFZKn9UUOUPESm6zjf8YwbwJjDb/6GIiMjpdhzZwdr9aykRUoIuNbv43F7GuOrPtuTOkuXxifHsiN1BUEAQdcpq4RcRKbrOmVQ75/7n2ZblVUAiIvKXjNrUHWt3pFhwMZ/by1iy/MttX+Kc87m9DQc3AFC7XG1Cg0J9bk9EpKA655hqM1sHnPW3rnOuaa5HJCIimTKqfnSr2y1X2mtYsSHlipfj96O/s/HgRhpVaORTe5mTFCtokqKIFG3nG/7RB7gKWOjZrvVsC4A5/g1NRCTvJKcm53cIf3Pw+EG+2/UdwQHBXFYn+6sonkmABdCpdicgd0rraXlyEZF05xv+sdM5txPo4Jy71zm3zrPdB1yRNyGKiPjXN799Q/HHinPPF/fkypCI3DJv8zzSXBptotpQOqx0rrWbm6X1MiYpRpeP9rktEZGCzNs61SXMrGPGEzNrD5TwT0giInlryo9TSElL4allT/HMsmfyO5xMGUM/ukfn7gK2HWp1wDB+2PkDJ5JP5Lgd51xmT7WWJxeRos7bpPom4CUz+83MdgBTgBv9F5YUJd/v+p4PNnyQ32FIEXUs6RjzN/81DGLC4gm8v/79fIwoXVxCHIu3LcawXBv6kaFc8XI0qdyEpNQkvtzxZY7b2XdsH4dPHiY8NJyq4VVzMUIRkYLHq6TaORfjnGsGNAWaO+eaO+dW+zc0KQqccwyYPYDBcwZn9sqJ5KX5m+dzMuUkzao0496u9wJw3cfXsXTn0nyN68WVL5KYmkjrqNZUKVkl19vPKK23YOuCHLeRMUmxXoV6BAR420cjIlI4Zeu3oHPuqHMuztvjzaynmf1qZlvN7L4zvH6tmf3s2X4ws2bZiUcKvl1xuzhw/AAAt312G7EJsfkckRQ1s9bPAuCKBlcwut1oRlw8gqTUJPrO6svGgxvzJaa4hDieXvY0AGPaj8HMcv0aGUn1F9tyvghMxtCPOpGqTy0i4reuBTMLBF4CegENgWFm1vC0w3YAXTyl+R4GpvkrHrkwrd2/NvPx/mP7Gf/F+HyMRoqauIQ4Pt/6OYbRu35vzIyJl02kR90exCXE0fOdnuyN35vncb2w8gWOJByhVfVWdInyfcGXM2lWpRkRoRHsOLyDrYe25qgNVf4QEfnLeZNqMwvwTEzMrjbAVufcdudcEjAL6Jf1AOfcD865I56ny4FqObiOFGBr9q8BoPNFnQkODOaNNW/w5bacj/EUyY5Pfv2EpNQkLq5+ceaY4MCAQJ7v9zzNqzRn99Hd9JrZi/jE+DyLKS4hLnOy5K0db/VLLzVAUEAQHWulzz+fvy1npfUylycvr+XJRUTOm1Q759KAp3PQdlVgd5bnezz7zuYm4PMcXEcKsIye6l4NezGuwzgAbpl/C8eTjudnWFJEvL8hfUJizwY9T0leiwUX49VrXiWqTBQ///EzAz8YmGd1rCevmOz3XuoMGasrvhbzGgkpCdk6NyUthU0HNwGq/CEiAt4P//jCzAZa9rpMznTsGQvAmlk30pPq/3fWxsxGm9kqM1t18ODBbIQhF7KMpLpxxcaMaTeG6Mhofov9jX9+/c98jkwKu8MnD/PFti8IsACujL7yb6+XLV6WN4a8QdniZVm8bTG3zL/F7zWs4xLieGa5/3upM/SM7kn10tXZcGADdy68M1vnbjm0hcTURKpEVKFUaCk/RSgiUnB4m1SPBz4AEs3sqJnFm9nR85yzB6ie5Xk14G+DE82sKfAa0M85d+hsjTnnpjnnWjnnWkVGRnoZtlzIDp88zM64nYQFhVG3bF2CA4N5sveTBFgAL6x4geW7l+d3iFKIfbjpQ1LSUmhdozWVSlY64zFRZaJ47ZrXCAsK4821bzLpm0l+jen5Fc8TmxBLqxr+76UGKBlakhf7v0hIYAjTYqbx1k9veX1u5njqCnX9nvyLiBQE3pbUC3fOBTjnQpxzEZ7nEec57UegrpnVMrMQYCjwadYDzKwG8CEw0jm3OSdvQAqun/b/BKRXDggODAagSeUm3NzmZtJcGqPmjSIpNSk/Q5RCLHPoR8Oe5zyuWZVmTL56MgEWwMNLH+b11a/7JZ7YhFieXf4sALd1uC3PEtXGlRoz6fL0PxbGfjaWDQc2eHVeRjk9TVIUEUl3zqTazOp7/r34TNu5znXOpQDjgEXAJmC2c26DmY01s7GewyYC5YApZrbWzFb5/I6kwMiYpFi/4qmTnO7sdCdRZaL45eAvPLz04fwIrdDYeHAjK39fmd9hXHAOHD/Akh1LCAoIole9Xuc9vkfdHvz78n8DMGb+GD7fkvvTPyavmExsQiyta7Smc1TnXG//XIY0G8LVja7mZPJJ+s/u79XEzJ8PpE9SrFe+nr/DExEpEM7XU51R3+zpM2xPna9x59wC51w959xFzrlHPftecc694nl8s3OujGcxmebOuVY5fidS4GSMp46uEH3K/rDgMB6/8nEAnvzuycweMcme+MR4Ok7vyCWvX8KCzTlf4KMwmrtxLmkujXY12xFZ3LvhZMMvHs7YS8aS6lIZ9MEgVu/LvfWvYhNi/6r40cH/Y6lPZ2Y83PNh6pavy5ZDW7hp3k3nHT+e8bmsX0GVP0RE4DxJtXNutOffbmfYuudNiFJYZfRUN67Y+G+vta3RluEthpOclswNn95AalpqXodX4M1YO4MjCUdIc2kM/XBoZqUGObXqR3ZM6DKBfo36cSL5BL1m9uK32N9yJZ7nlz9PXGJcvvRSZygeUpwpA6ZQPKQ4H2z4gJd+fOmsx8YnxrMjdgdBAUHUKauFX0REwMsx1WYWbGb/MLM5nm2cmQX7OzgpvBJSEth0cBMBFkDDCqevCZTu3m73Uim8Eqv3rs6siFCYrD+wnkVbF/ml7TSXxuSVkwGoVbYW8Ynx9H6vN4dOnHUucJGxN34vS3cuJTgwmJ51s5dUmxlP9H6CS6Iu4cDxA1z+zuWZK4LmVNax1HlR8eNcaperzeO90r8lGr9o/FmHDm04uCHz+NCg0DyLT0TkQuZt9Y+XgZbAFM/W0rNPJEfWH1hPqkslqmwUJUNKnvGY8NBwHun5CAATv57ItsPb8jJEvzly8gi3f3Y7zV5pRs+ZPZn367xcv8aCLQvYengrVSKqMPf6uTSq1IgdR3YwYPaAIj/584MNH+BwdKzdkTLFymT7/JDAEF4e8DLRkdFsObSFHm/18OmPleeWP0dcYhxtotrQuUb+9FJn1adhH0ZePJLktGQGzh54xveWOUmxgiYpiohk8Dapbu2cu945t8SzjQJa+zMwKdwyxlOfPknxdN3qdKNvw74kpCRw47wb/V4n2J/SXBrT10yn3ov1mLJqCmkuDYB/L/13rr+v51c8D8CQi4dQKqwU0wZNI7JkJEt3LuX2BbcX6J+jrzKGflxR/4octxEeFs5bw96idrnarD+wnsvevozYhNhstxObEMtzy58D8mcs9dnc3+N+mlZuyp6jexjx0YjM/1YzaHlyEZG/C/LyuFQzu8g5tw3AzGoDGuQqObZmX/p46tMnKZ7Jvy77F9/u+Jalvy1l2uppjGk5xuvrHE08yoebPuT9De+zL34foUGhhAaGEhIYkvk489+sj4NCKRNWhr7RfalbzvfEIWZvDLcvuJ0Vv68AoFX1VozvOp7b5txGzN4YFm9fzOUXXe7zdSD9W4Avt39J8eDiDG0+FIBK4ZWYNnAaQ2cO5bXVr9E4sjF3tsveYh+Fwc7YnSzbs4ywoDAur+vbz7t8ifK8M+wdhs4cypr9a7jinSv4cuSXhIeGe91G1l7qTjU6+RRPbgoNCuXF/i9y1fSrWLh1IY99+xj/6vyvzNczliePLn/+z6+ISFHhbVJ9D/C1mW0nfaXEKGCU36KSQm/tH+k91WcbT51VueLlmHjZRO7+9G7uWXwPfer2oWrE2Ve8T0pNYuHWhcxcN5NPf/0028svZzVh8QTaVm3LyKYjGdJ4COWLl8/W+YdPHuafX/2TqTFTcTgiS0Yyvtt4BjYcSGBAIDe1uYmn//c0/17671xLqievSB9L3adxH8oX+yveplWa8mTvJ7nrk7sY/8V4ostFZ3tMcUE3e8NsADpf1DlXVgGsGF6RmcNmMuSdIaz8fSW93u3FomsXUSKkxHnPPXLySL7UpfZW1VJVeabvM9w0+yYmfTOJS6pdQo/aPXDOZfZUa3lyEZG/mLdfA5tZKBBNelL9i3Mu0Z+BnUurVq3cqlUqaV1Qpbk0Ih6P4HjycZb9YxkVSlQ47znOOUbPGc2SrUu4su6VzB82/5QkxDnHD7t/4J2f32H2xtkcPnk487WW1VvSu1FvmlZqSkpqCompiSSlJpGUkkRiSiLJackkpSSl70tNSn89JYldsbtYsnkJJ5JOAKTXNK7TixFNR3BVvasoFlzsnO9x+prp3PflfRw6eYhAC2R4q+Hc2fFOyoT9NY43PjGezi915mjiUb6+/mu61uyag5/oX/488SfVn61OQkoC82+eT4PIvyc9z/zvGV764SUiQiNYcfMK6pcvOiXRWk1rRcy+GJ65+hn6NeiXa+3uOrKLoe8M5Y9jf9C1ZlcWDF9wzv8+ACZ9PYmHlj5E26i2zBw284JLqjNk/PcSWSKStWPS/xiu+kxVwkPDWX3XagICvB1FKCKSMykuBWeO6JC8/3bMzGK8LfnsVU+1mf0EzCJ9AZfCMVtM8s3Ww1s5nnycCiUreF0j2Mx46IqHWLl7JQu2LGDWhlkMazyMTQc3MXPdTN5d9y47YndkHn9R+Yvo3ag3fRv2pWapmjlOWE4mn2TR5kV8vOFjftj+A/M2z2Pe5nlEhEYwqMEgRjQdQZeaXQiwvxKLVXtXcfuC2zMrJ7Sq0Yp/XfovmlRs8rf2w0PDub7V9bzw/Qs8/O3DPifVr8a8SkJKAh1qdzhrsnxX57vYemgri35dRO93e/PjLT9StlhZn65bEGw9vJWYfTEUDylOj4t65GrbNcrUYObwmQyZOYRvfvuG/rP788mQT85aGePIySM8t+LCG0t9Jnd2upOY32NYvnM5g+cM5v4O9wPp46mVUIuI/MXb34h9SR9DPdvMfjSzCZ4lxkWyLXPRl4rR2UomKkdU5r5u9wEwbsE4Wk5rScMpDXn020fZEbuDCiUrcH2b65k7ai4Lb1rIne3vpFbpWj4lLMWCi3F1o6uZMXgGP9zxAw9c+gCNKjXiaOJRpq+dTve3uhP1XBT3fXkfy/csZ+z8sbR5tQ0rf19JhZIVeOKqJ3h32LtnTKgz3ND6BoqHFGfJ9iWs2LMix7EmpyZn1hYe2WrkWd93gAXwVJ+naFixIduPbGfg7IEkpybn+LoFRcbQj651up614owvapWrxTvD3qFMsTIs2rqIa+Zcc9af67PLn+Vo4lHaRrWlY42OuR5LbgoMCOT5fs8TWTKS73d9z20LbgNU+UNE5HReJdXOuZ3Ouf8451oCw4GmwI7znCZyRhmTFHOyEtuQ5kNoW6Mth08eZvW+1ZQMLcnVTa7m9aGvs/S2pUzsMZHmlZr7pQetfIny3NT6Jj4d9SmLblnEmPZjqBxRmT1H9/Dk909yyeuXMDVmKoEBgVzX5joW3LKAaxpfQ2BA4DnbLV2sNCMvHgnAg0sfzHF8czfN5ff436ldrjbda517babiIcWZOmgq5UqU45vfvmHc5+MKfUWQnC74kh31Iuvx9rC3iQiLYN6v8xj+4XBS0lJOOebwycOZ1Vlu63jhjaU+k/IlyvPC1S8QaIHsitsFqPKHiMjpvM48zKymmd1L+jCQ+sC9fotKCrWMSYoNKmZ/klOABfBs32cZ1WYUT/V7imV3LOPpPk/TtVZXggPzbj2iOuXrcG+Xe1l621Leu/Y9BjUbRIWSFWhfqz1zR81lUo9Jp4ydPp8b29xIWFAYC7cszPyjI7sySrMNbzX8vIk8QJWIKkwbOI2QwBCmxUzjxZUv5ui6BcGmg5v4+Y+fiQiNOO8fHL5qULEBbw55k5KhJZmzcQ7Xf3z9KSuCPrf8ucxe6g7VO/g1ltzUunpr7ul6T+bzojQWX0TEG96OqV4BBAMfANc457b7NSop1DKSxsaV/r48uTcqhlfkXz3+df4D80CABdCmRhva1GjjUzvlS5RnaPOhzFg1g4e+fYiPBn+UrfOX71nOit9XEBEWwaDGg7w+r3nV5jzZ+0nu/vRu7l50N9Hlorm8Tu5UIbmQZPRSd6vX7bwTCHND0ypNmT54OtfPup53171LWFAYr1716il1qW/veHuB6KXO6ua2N7MzdidbDm2heeXm+R2OiMgFxduSetc7537xayRSJOw/tp8/jv9ByZCS1CxVM7/DuaDc0u4WZq6ZySebPmHDgQ00qtDI63MzhhMMbDaQ8BDv6yQD9G3Ul80HN/Pyspe5Zs41rLx5ZaGqP+ycy0yqe9XvlWfXbVmtJa9d8xo3zr6R6WumExYURpmwMsQnxdOuZjvaV2+fZ7HkFjPLXOVURERO5e3wj8FmNvH0za+RSaGU0Utdr0I9r4YoFCWVwitxTdNrcDge+c77xGXP0T3M2TiHQAtkRMsRObr2+C7juazeZRxNPErv93pz5OSRHLXjD2kujbX71xKfGJ+j89cdWMcvf/5C6WKl6VQzbxdYaRfVjqkDpxIcGMyUH6fw2LePARdmXWoREfGNt0n18SxbKtALqOmnmKQQ83Z58qJqTLsxBAUEMXv9bLYc2uLVOVN+nEJKWgo9onvkuPc/wAJ4+qqnqV+hPtsOb2PC4gk5aic3bTy4kQe+eoDaz9emxdQWNHm5CTF7Y7Ldzvvr03upe9TrQVhQWG6HeV6dandiSv8pBAUE4XAFtpdaRETOzdvqH09n2R4FugJnX9JO5CzW7M955Y+ioFrpalzd+GrSXBqPfvfoeY8/mXySaTHTABjZcqRP1y4RUiKzwsOMtTNY/8d6n9rLib3xe3n6h6dpMbUFjaY04vHvHmdn3E5Cg0LZGbeT9tPb82rMq15XKnHOMWvDLACubHClP0M/p+51u/PSgJdoWb0l/6/7/1MvtYhIIZTTumPFgdq5GYgUDRk91Y0qeT9euKgZe8lYAiyAmT/PZGfsznMeO3PdTA6dPESjyo1oV62dz9euXa42w1oMI82lMeGrvOmtPpp4lDfWvMGlb11KtWeqMWHxBNbuX0tEaAQDmg1g+rDpxNwVw7AWw0hKTWL0/NHc+OmNnEw+ed62Y/bFsP3IdsqXKE+HGvlbaePSupcye8RsmlZsmq9xiIiIf3hb/WMdkNE1FAhEAg/5KygpnOIT49l6eCtBAUGFaiJcbqtVthZ9GvTh042f8tj3jzG199QzHuecy6wkcW2ra3OtNvcdHe/go/UfsWjLIpZsX0L32rlfgi4pNYmFWxcyc91MPv31UxJSEgAIDgymy0Vd6N2oN5dddNkplToe6fkIF1e9mP9b+H/MWDuDNfvX8OHgD6ld5ux/32cM/bg0+tI8LbkoIiJFj7f/F+4DXOXZLgeqOOcKb1Fb8Yuf//gZh+Oi8hdRLMj/Zc0Kslvb3wrAjDUz2Bu/94zHLNmxhA0HNxBZMpK+9fvm2rXLlyjPmHZjABi/eDxpLi3X2ob0RLfy05XpN6sfszfMJiElgVY1WjGp1yS+v+N7pg6cSt/6fc9Y+m5AkwHMvX4uNcrU4Kf9P9FyWkvm/TrvjNdxzjF7Y/oqivk59ENERIoGr1dUBEqTnlT3Bxr6MygpnDInKWo89XnVi6zHFfWuICk1iSe+f+KMxzy3Ir2XenCLwbn+R8qNbW6kYnhFftr/EzPXzcy1dn/58xdGfTKKwycPUzeyLnd1vYslty1h1vBZXNf8OsoVK3feNupXqM8nN3xCj7o9iE2Ipe+svjzw1QOnLLAC6bW7d8XtomJ4RdpWa5tr70FERORMvEqqzexOYCZQwbPNNLM7/BmYFD4ZkxSjK2nohzdu73A7AK/GvMrB4wdPeW3LoS18tvkzQgJDGN5ieK5fu1hwMcZ3Hg/AA189kDk8wxfJqcmM/GgkJ1NO0qdxHz6/6XPuuOQOokpFZXviXkRYBK8MfIUJXScQYAE8/t3jXPHOFaf8nGatT5+geHn9ywkK8LYkv4iISM54O/zjJqCtc26ic24i0A64xX9hSWGUOUkxG4uaFGWNKjWi20XdSEhJ4L/L/nvKay+sfAGH48qGV1KpRCW/XL9/4/5ER0az5+genl3+rM/tPfrto6zau4oqEVWYdOkknytgBFgAt15yK28OeZMyxcvw1Y6vaDGtBSv2rCA1LZUPNn4AwJX1NfRDRET8z9uk2kivT50h1bNPxCvJqcmsO7AOUFKdHRm91S//+DKHTx4GIC4hjjfWvgHAyFa+ldE7l8CAQO7rfh8AT3z3BIdOHMpxWyt/X8kjSx/BMB7p8whli5XNrTBpX6s980bNo1mVZvx+9Hc6vdGJ2z67jX3H9lG1m6FCOQAAFVpJREFUVFVaVmmZa9cSERE5G2+T6jeAFWb2oJk9CCwHXvdbVFLo/PLnLySlJlGtdDVKh5XO73AKjBZVW9ChZgeOJR3j2RXpvcXT10znWNIxWtdoTbOKzfx6/c61O9OhZgeOJh5l0v8m5aiN40nHGfHhCFJdKiPbjKRzjc65HCVUjqjMrBGzGNlyJMlpyUxbnV67+4oGV2jlThERyRPeTlR8BhgFHAaOAKOcc8/5MzApXLIu+qKFL7Ino7f6hRUvEJsQywsrXwBgROsRefKzvL/7/RjGtFXT2HZ4W7bPv3fxvWw5vIU6kXWY0HmC32IOCQzhwcsf5JmrniEsOIxAC+Sqhlf55VoiIiKnO+fsHTMLA8YCdYB1wBTnXEpeBCaFS8Z46uiKmqSYXW2qt6FVtVas2rOKvrP6siN2B9VKV+OKi67Ik+s3qNiA/o378+H6D7nny3v4cPCHXp+7cOtCpqyaQnBAME/0eYISwSX8GGm6fo370bpGa/44/gdNKjTx+/VERETg/D3VbwKtSE+oewFP+T0iKZQykuoGFRrkcyQFj5kxrsM4AL7d+S0Aw1sOz9PFTMZ3GU9oUCgfbfqIZbuXeXXOoROHuPGTGwG4rfNttKjUwp8hnqJKRBVaVG6hb0VERCTPnC+pbuicG+GcmwoMAnJ/MKQUes65zOEfTSqp5zAnOtbqSNPK6ctblwgpweCmg/P0+pUjKnNjm/QEefwX43HOnfN45xxjPxvLvmP7uLjaxYxtMzYvwhQREck350uqkzMeaNiH5NSuuF3EJsRSplgZqpSskt/hFEhmxoQuEwgKCOLaVtdSJqxMnscwpt0YyhYvy/I9y/nwl3MPAZm5biZzNs6hREgJHu/9OCGBIXkUpYiISP44X1LdzMyOerZ4oGnGYzM7mhcBSsGXuehLxWgCArwtOCOn61CrAzF3xXBPp3vy5frhoeH8o+M/ALj3y3tJTk0+43G74nYxbkH6cJV7etxDnbJ18ixGERGR/HLODMc5F+ici/Bs4c65oCyPI/IqSCnYMicpVtAkRV+VDC2Zr3+YDG0+lFpla7H98HamrJryt9fTXBo3fHwDcYlxdK3bleFNc3+1RxERkQuRug3F7zJ6qhtU1CTFgi44MJh7uqb3lD/0v4eIS4g75fXnlz/P1799Tbni5Xik5yOqES0iIkWGkmrxu4ye6sYVG+dzJJIbLq93OS2rteTwycM8+t2jmfs3HNjA/V/dD8DEXhOpXLJyfoUoIiKS55RUi18dOnGIXXG7CAsK09jaQsLMuL97evI8ecVkdsftJik1iREfjSAxNZH+TfvTu27vfI5SREQkb51z8RcpfH4/+jsRoRGEh4bnyfV++uMnAOpG1s3TusriXy2qtqBX/V58/svn3L/kfmpE1GDt/rVUK1WNf/b4p+pDi4hIkaOeai9tObSF+MT4/A7DJ9NiphH1XBRRz0Xx1A9PkZCS4PdrrtnnWZ68Yn2/X0vy1j1d7yEoIIh3f36XJ79/kgAL4LGrHsuXcn8iIiL5TUm1l0Z9Mopqz1bjzs/vZPOhzbnefmxCLK+vfp25G+eed2GN7EpNS2XCFxMYM38MqS6VIwlHuGfxPdR7oR5vrn2T1LTUXL1eVmv/0PLkhVVUmShGXDwCh0uv+tH2BtpXa5/fYYmIiOQLJdVeOJZ0jAAL4GjiUSavnEz0i9H0fKcnn23+jDSXluN201waX27/kms/vJbKT1fm5nk3M+iDQQyZM4TYhNhcif140nEGfTCIp5c9TVBAEA/2epDXB79Ovch67D66mxs+uYFmU5vx2ebPcj2ZB01SLOzGdRhH5YjKNKvajLs73a1hHyIiUmSZPxIpf2vVqpVbtWpVnl/3490f89aqt1iwcQGJKYkA1C5Tm9tb386o5qMoU8y7r713HNnBjLUzePOnN9kZtzNzf8vqLdn0xyZOJJ2geqnqzOw/k05RnXIc7974vfR9ry8x+2KICIvgmf7P0K1mNyA9of94/cc8s/QZ9h3dB0CXqC48eemTtK3WNsfXzOpk8knCHw/H4Vgzfg0lQ0rmSrtyYUlzaTjnVD5PRET8IsWl4MwRHZL333qbWYxzrpVXxyqp9t6vSb9izjiWcIxZP81i5uqZ7I3bC0Dx4OKMaDKCcW3G0aRik7+deyL5BHM3zuWNtW/w9W9fZ+6vElGFfk36MaDJAGqVrsXOIzu589M7Wb9vPQEWwAMdH2BS10kEBWRvTulP+3+iz3t92HN0D9VKV2PKoCk0imz0t+MSUxJ5O+ZtpvwwJbPm8MAGA3m0+6NEl/ftP95Ve1fR+tXW1C5Xm8WjF/vUloiIiBRNSqr9KL+T6iBLT3BT01JZsnUJM2JmsPy35ZnHdYnqwh1t7qBvdF9W7V3FG2vfYNb6WcQnpU90DA0K5dLoS+nfpD+dojr9LWFOTk3muW+fY+qyqTgc7aq1490B71KrTC2v4lywZQFD5gzhWNIxmldtzksDX6JSiUrnPCc+IZ4py6fw1o9vkZCSQKAFcsvFtzCxy0Qqh+es3vCrMa8yev5ormx4JS/0eyFHbYiIiEjRpqTajy6UpDqrLQe38ObqN/lk/SecSDoBpPden0g+kXlMk8pNuLrp1fRt0Jeyxcqe93rLflvG+PnjORB/gPCQcF7p8wrDm5x72eeXVr7EPxb+gzSXRs8GPflP7/9QIriE1+9xf/x+nvv2Oeb+PJc0l0bx4OJMuGQC/9fl/7LdW377Z7czZdUU7u52N+PajcvWuSIiIiKgpNqvLsSkOkN8Yjxzfp7D26vfZufhnZQrUY4+jfowoMkAGkU2yvZErtiTsdy34D4Wb04fPnFtk2uZ0nsKEaERpxyXmpbK+EXjmbxyMgCj249mQqcJOR7nuuXgFv7zv/+wZMsSAG5scSOvXfVatuJv/3p7lu1ZxqtDXqV77e45ikNERESKNiXVfnQhJ9UZ0lwau2J3USm8EmFBYT5d1znH+z+9z8NfPkxCcgI1S9fkvYHv0a5aOyC9OsmwucOYv3k+wQHBTOo1iaFNhuZKJYbvdnzHmDljSEhJ4L6O9/F4j8e9Oi81LZVST5TiePJxlv1jGRVKVPA5FhERESl6CkpSrZJ6fhJgAdQsU9PnhBrSl4Ue2nwo80bNo0HFBvwW+xsdp3fk4f89zM7YnXR6oxPzN8+ndFhppg6dyrCmw3KttFnHWh15sf+LBFogT3z3BM8tf86r87Ye3srx5ONUDK9IZPHIXIlFRERE5ELl16TazHqa2a9mttXM7jvD6/XNbJmZJZrZBH/GUhjULlebudfN5cY2N5LqUpn4zUTqvFCHtfvXElUmipkjZ9IlqkuuX7dbnW48ceUTANy96G7e+fmd856TUZ86ukK0aheLiIhIoee3pNrMAoGXgF5AQ2CYmTU87bDDwD+Ap/wVR2ETGhTKP3v8kxlDZlC+RHlS0lJoWb0l7133HvXL+28p8AFNB3B/9/uB9NUlP9/y+TmPX7Nfy5OLiIhI0eHPnuo2wFbn3HbnXBIwC+iX9QDn3AHn3I9Ash/jKJQ61e7EwpsX8tKAl3hzyJtULF7R79e8ue3NjG47mpS0FAZ9MIgVe1ac9diMnuoGFRr4PS4RERGR/ObPpLoqsDvL8z2efZJLyhQvQ8/onhQLLpZn17y3270MbDKQE8kn6PVuLzYd3HTG4zKXJ6+k5clFRESk8PNnUn2mgbQ5LjViZqPNbJWZrTp48KAPYYkvzIzHrnyMHnV6cOTkES57+zJ2x+0+5Zh98fv44/gfhIeGU7NUzfwJVERERCQP+TOp3gNUz/K8GrA3p40556Y551o551pFRqqaRH4KCghi8tWTaVmtJb/H/86lb1/KoROHMl/POkkxIEAFZkRERKTw82fG8yNQ18xqmVkIMBT41I/XkzwUFhzGq4NepV5kPTYf2kyvd3txPOk48NckxegKeV9PUkRERCQ/+C2pds6lAOOARcAmYLZzboOZjTWzsQBmVsnM9gDjgX+Z2R4zizh7q3IhKVWsFDOGzKBqqar8+PuP9J/dn6TUpMyealX+EBERkaLi/EsD+sA5twBYcNq+V7I83k/6sBApoCqGV+TNoW8y+O3BLN62mOs/vp7V+1YD0Khio3yOTkRERCRvaMCr+KxW2VpMHzyd4iHFmbV+FtuObCMoIIjo8hr+ISIiIkWDkmrJFU0qN2HqwKkEBwYDUCeyTq4s0S4iIiJSECipllzTvmZ7nu37LKFBoXSt0zW/wxERERHJM34dUy1FT6/6vehepzshgSH5HYqIiIhInlFSLbkuNCg0v0MQERERyVMa/iEiIiIi4iMl1SIiIiIiPlJSLSIiIiLiIyXVIiIiIiI+UlItIiIiIuIjJdUiIiIiIj5SUi0iIiIi4iMl1SIiIiIiPlJSLSIiIiLiIyXVIiIiIiI+UlItIiIiIuIjJdUiIiIiIj5SUi0iIiIi4iMl1SIiIiIiPlJSLSIiIiLiIyXVIiIiIiI+UlItIiIiIuIjJdUiIiIiIj5SUi0iIiIi4iMl1SIiIiIiPlJSLSIiIiLiIyXVIiIiIiI+UlItIiIiIuIjJdUiIiIiIj5SUi0iIiIi4iMl1SIiIiIiPlJSLSIiIiLiIyXVIiIiIiI+UlItIiIiIuIjJdUiIiIiIj5SUi0iIiIi4iMl1SIiIiIiPlJSLSIiIiLiIyXVIiIiIiI+UlItIiIiIuIjJdUiIiIiIj5SUi0iIiIi4iMl1SIiIiIiPlJSLSIiIiLiIyXVIiIiIiI+UlItIiIiIuIjvybVZtbTzH41s61mdt8ZXjczm+x5/Wczu9if8YiIiIiI+IPfkmozCwReAnoBDYFhZtbwtMN6AXU922jgZX/FIyIiIiLiL0F+bLsNsNU5tx3AzGYB/YCNWY7pB7zlnHPAcjMrbWaVnXP7/BiXz9LDFRERERFJ58+kuiqwO8vzPUBbL46pCvwtqTaz0aT3ZlOjRo1cDdRbYRbG0bSj+XJtERERkaIqIiAiv0M4L38m1XaGfad38XpzTPpO56YB0wBatWqVL13FUcFREJwfVxYRERGRC5k/JyruAapneV4N2JuDY0RERERELmj+TKp/BOqaWS0zCwGGAp+edsynwHWeKiDtgLgLfTy1iIiIiMjp/Db8wzmXYmbjgEVAIDDdObfBzMZ6Xn8FWABcCWwFTgCj/BWPiIiIiIi/+HNMNc65BaQnzln3vZLlsQNu92cMIiIiIiL+phUVRURERER8pKRaRERERMRHSqpFRERERHykpFpERERExEdKqkVEREREfKSkWkRERETER0qqRURERER8pKRaRERERMRHSqpFRERERHxk6YsaFixmdhDYmd9xSK4qD/yZ30FIntH9Lnp0z4sW3e+ipTDf7yjnXKQ3BxbIpFoKHzNb5Zxrld9xSN7Q/S56dM+LFt3vokX3O52Gf4iIiIiI+EhJtYiIiIiIj5RUy4ViWn4HIHlK97vo0T0vWnS/ixbdbzSmWkRERETEZ+qpFhERERHxkZJq8Qszm25mB8xs/Wn77zCzX81sg5n9J8v++81sq+e1K7Lsb2lm6zyvTTYzy8v3Id7Lzj03s5pmdtLM1nq2V7Icr3teAJzpfpvZ+1nu6W9mtjbLa/qMF2DZud/6fBd8Z7nfzc1sueeerjKzNlle0+cbwDmnTVuub0Bn4GJgfZZ93YAvgVDP8wqefxsCPwGhQC1gGxDoeW0lcAlgwOdAr/x+b9py5Z7XzHrcae3onheA7Uz3+7TXnwYmeh7rM17At2zeb32+C/h2lt/nX2TcL+BK4BvPY32+PZt6qsUvnHNLgcOn7b4VeMI5l+g55oBnfz9glnMu0Tm3A9gKtDGzykCEc26ZS/90vgVcnTfvQLIrm/f8jHTPC46z3G8APL1Rg4H3PLv0GS/gsnm/z0j3u+A4y/12QITncSlgr+exPt8eSqolL9UDOpnZCjP7n5m19uyvCuzOctwez76qnsen75eC42z3HKCWma3x7O/k2ad7Xjh0Av5wzm3xPNdnvHA7/X6DPt+F0V3Af81sN/AUcL9nvz7fHkH5HYAUKUFAGaAd0BqYbWa1Sf9a6HTuHPul4DjbPd8H1HDOHTKzlsDHZtYI3fPCYhin9lrqM164nX6/9fkunG4F7nbOzTWzwcDrwKXo851JSbXkpT3Ah56vgVaaWRpQ3rO/epbjqpH+tdIez+PT90vBccZ77pw7CGQMCYkxs22k92rrnhdwZhYEDABaZtmtz3ghdab77Rnupc934XM9cKfn8QfAa57H+nx7aPiH5KWPge4AZlYPCAH+BD4FhppZqJnVAuoCK51z+4B4M2vnGbN3HfBJ/oQuOXTGe25mkWYW6Nlfm/R7vl33vFC4FPjFOZf1a199xguvv91vfb4Lrb1AF8/j7kDGcB99vj3UUy1+YWbvAV2B8ma2B5gETAeme0r0JAHXe3owN5jZbGAjkALc7pxL9TR1KzADKEb6zOHP8/J9iPeyc8/NrDPwkJmlAKnAWOdcxqQY3fMC4Ez32zn3OjCU0yasOef0GS/gsnO/Sa8coc93AXaW3+e3AM97vp1IAEaDPt9ZaUVFEREREREfafiHiIiIiIiPlFSLiIiIiPhISbWIiIiIiI+UVIuIiIiI+EhJtYhIEWdmY8ysTH7HISJSkCmpFhEpYMysv5k5M6ufC21NBA47547kQmgiIkWWSuqJiBQwnpqwlYGvnHMP5nM4IiKCeqpFRAoUMysJdABuIn3hDcysq5l9Y2ZzzOwXM5vpWcEMM/vNzP5tZqvNbF1G77aZlTCz6Wb2o5mtMbN+nv2BZvZfz/6fzWxMPr1VEZECRUm1iEjBcjWw0Dm3GThsZhd79rcA7gIaArVJT7wz/Omcuxh4GZjg2fdPYIlzrjXQDfivmZUgPVmP8+xvDdziWXpYRETOQUm1iEjBMgyY5Xk8y/McYKVzbo9zLg1YC9TMcs6Hnn9jsuy/HLjPzNYC3wBhQA3P/us8+1cA5YC6/ngjIiKFSVB+ByAiIt4xs3JAd6CxmTkgEHDAAiAxy6GpnPr7PfEM+w0Y6Jz79bRrGHCHc25R7r8DEZHCSz3VIiIFxyDgLedclHOupnOuOrAD6JiDthYBd2QZe90iy/5bzSzYs7+eZ1iIiIicg5JqEZGCYxjw0Wn75gLDc9DWw0Aw8LOZrfc8B3gN2Ais9uyfir7VFBE5L5XUExERERHxkXqqRURERER8pKRaRERERMRHSqpFRERERHykpFpERERExEdKqkVEREREfKSkWkRERETER0qqRURERER8pKRaRERERMRH/x+yCLXDpjs68AAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Calcul du pouvoir d'achat\n", "data['Pouvoir d\\'achat (quart de blé)'] = data['Wages'] / data['Wheat']\n", "\n", "# Tracer le pouvoir d'achat\n", "plt.figure(figsize=(12, 6))\n", "plt.plot(data['Year'], data['Pouvoir d\\'achat (quart de blé)'], color='green', linewidth=2)\n", "plt.fill_between(data['Year'], data['Pouvoir d\\'achat (quart de blé)'], color='lightgreen', alpha=0.3)\n", "plt.xlabel(\"Année\")\n", "plt.ylabel(\"Pouvoir d'achat (quart de blé)\")\n", "plt.title(\"Pouvoir d'achat des ouvriers au fil du temps (1565-1821)\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Comparaison du prix du blé et des salaires sans l'axe du temps\n", "\n", "En étudiant la relation entre le prix du blé et les salaires sans prendre en compte directement l'axe temporel, on peut observer la dynamique entre ces deux variables sous une forme différente. Dans ce graphique, les points sont colorés en fonction de l’année, permettant de suivre l’évolution temporelle de la relation.\n", "\n", "Cette représentation en couleur indique comment les salaires et le prix du blé ont évolué dans le temps sans recourir à un axe temporel, facilitant une analyse de leur corrélation relative." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Représenter les salaires par rapport au prix du blé avec une couleur qui montre l'année\n", "plt.figure(figsize=(12, 6))\n", "scatter = plt.scatter(data['Wheat'], data['Wages'], c=data['Year'], cmap='viridis', edgecolor='k', alpha=0.7)\n", "cbar = plt.colorbar(scatter)\n", "cbar.set_label(\"Année\")\n", "\n", "plt.xlabel(\"Prix du blé (shillings par quart)\")\n", "plt.ylabel(\"Salaire hebdomadaire moyen (shillings)\")\n", "plt.title(\"Relation entre le prix du blé et le salaire moyen (1565-1821)\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Conclusion\n", "\n", "À travers ces graphiques, nous avons exploré différentes perspectives pour analyser les données historiques de Playfair sur le prix du blé et les salaires. En séparant les axes de chaque variable et en calculant le pouvoir d’achat, nous mettons en lumière les tendances économiques sous-jacentes, en particulier l’évolution du bien-être financier des travailleurs à travers les siècles. Ces visualisations offrent des moyens modernes d’analyser et d’interpréter les mêmes données qu’étudiait Playfair, en permettant une compréhension plus nuancée des variations du pouvoir d’achat et de la relation entre les prix des denrées alimentaires et les salaires." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.4" } }, "nbformat": 4, "nbformat_minor": 2 }