From 12a4f61ba4676d4a80609f81b9f3a4b8ad62ff51 Mon Sep 17 00:00:00 2001 From: 3f882509fa483e9f6d2fe29f93aa9ca6 <3f882509fa483e9f6d2fe29f93aa9ca6@app-learninglab.inria.fr> Date: Sat, 25 Nov 2023 00:08:29 +0000 Subject: [PATCH] no commit message --- ...rtir de mesures asym\303\251triques.ipynb" | 561 ++++++++++++++++++ module3/exo3/exercice.ipynb | 25 - module3/exo3/liglab2.log | Bin 0 -> 498149 bytes 3 files changed, 561 insertions(+), 25 deletions(-) create mode 100644 "module3/exo3/Estimation de la latence et de la capacit\303\251 d\342\200\231une connexion \303\240 partir de mesures asym\303\251triques.ipynb" delete mode 100644 module3/exo3/exercice.ipynb create mode 100644 module3/exo3/liglab2.log diff --git "a/module3/exo3/Estimation de la latence et de la capacit\303\251 d\342\200\231une connexion \303\240 partir de mesures asym\303\251triques.ipynb" "b/module3/exo3/Estimation de la latence et de la capacit\303\251 d\342\200\231une connexion \303\240 partir de mesures asym\303\251triques.ipynb" new file mode 100644 index 0000000..44524a3 --- /dev/null +++ "b/module3/exo3/Estimation de la latence et de la capacit\303\251 d\342\200\231une connexion \303\240 partir de mesures asym\303\251triques.ipynb" @@ -0,0 +1,561 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [], + "source": [ + "%matplotlib inline\n", + "import matplotlib.pyplot as plt\n", + "from scipy.stats import linregress\n", + "import gzip\n", + "import io\n", + "import requests\n", + "import numpy as np\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Les données sont à télécharger sur le site mescal.imag.fr, et sont attribué à Arnaud Legrand." + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [], + "source": [ + "data1_url = \"http://mescal.imag.fr/membres/arnaud.legrand/teaching/2014/RICM4_EP_ping/liglab2.log.gz\"\n", + "data2_url = \"http://mescal.imag.fr/membres/arnaud.legrand/teaching/2014/RICM4_EP_ping/stackoverflow.log.gz\"" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Fonction prenant en paramètre une chaîne de caractère correspondant à une ligne du fichier\n", + "et renvoyant un tableau avec les paramètres extraits, le temps depuis 1970, la taille de la requête, et la latence:" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [], + "source": [ + "def read_line(line):\n", + " try:\n", + " line_split=line.split()\n", + " time=float(line_split[0][1:-1])\n", + " \n", + " if line_split[2]==\"bytes\":\n", + " size=int(line_split[1])\n", + " else: pass\n", + " \n", + " if line_split[-1]==\"ms\":\n", + " ping=float(line_split[-2][5:])\n", + " else: pass\n", + " \n", + " return [time,size,ping]\n", + " \n", + " except:\n", + " return None" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Fonction qui prend en paramètre une chaîne de caractère correspondant à l'URL d'un fichier gzip contenant un fichier texte,\n", + "et qui renvoi une liste de liste formée à partir de la fonction \"read_line\" avec comme paramètre une ligne du fichier:" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [], + "source": [ + "def read_file(url):\n", + " \n", + " response = requests.get(url)\n", + " contenu_archive = response.content\n", + " \n", + " data=[]\n", + " with gzip.open(io.BytesIO(response.content), 'rt') as file:\n", + " for line in file:\n", + " ping_data = read_line(line)\n", + " if ping_data:\n", + " data.append(ping_data)\n", + " return data\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Appel de la fonction avec les deux jeux de données et tri des données dans l'ordre croissant en fonction de la taille de requête" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [], + "source": [ + "data1=read_file(data1_url)\n", + "times1=[]\n", + "sizes1=[]\n", + "times_ms1=[]\n", + "for i in data1:\n", + " times1.append(i[0])\n", + " sizes1.append(i[1])\n", + " times_ms1.append(i[2])\n", + "\n", + "datas1= list(zip(sizes1, times_ms1, times1))\n", + "datas1_sorted=sorted(datas1, key=lambda x: x[0])\n", + "sizes1_sorted, times_ms1_sorted, times1_sorted=zip(*datas1_sorted)\n", + "\n", + "\n", + "data2=read_file(data2_url)\n", + "times2=[]\n", + "sizes2=[]\n", + "times_ms2=[]\n", + "for i in data2:\n", + " times2.append(i[0])\n", + " sizes2.append(i[1])\n", + " times_ms2.append(i[2])\n", + "\n", + "datas2= list(zip(sizes2, times_ms2, times2))\n", + "datas2_sorted=sorted(datas2, key=lambda x: x[0])\n", + "sizes2_sorted, times_ms2_sorted, times2_sorted=zip(*datas2_sorted)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Représentation de l'évolution du temps de transmission au cours du temps, pour le jeu de donnée liglab2.\n", + "Nous pouvons voir des variations notamment à certains moments précis, ce qui montrerait que cela serait lié à des phénomènes externes et ephémère, et pas seulement à la taille des messages." + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": { + "scrolled": false + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(10, 6))\n", + "plt.plot(times1, times_ms1, label='liblab2')\n", + "plt.title('Évolution du temps de transmission au cours du temps')\n", + "plt.xlabel('Temps (secondes depuis 1970)')\n", + "plt.ylabel('Temps d\\'envoi (en ms)')\n", + "plt.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Représentation du temps de transmission en fonction de la taille des messages. On peut observer une rupture un peu avant 1500 octets.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": { + "scrolled": false + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(10, 6))\n", + "plt.plot(sizes1_sorted, times_ms1_sorted, label='liblab2')\n", + "plt.title('Temps de transmission en fonction de la taille des messages')\n", + "plt.xlabel('Taille des messages (en octet/byte)')\n", + "plt.ylabel('Temps d\\'envoi (en ms)')\n", + "plt.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Affichage des regression linéaire pour chacune des deux classes (jusqu'à 1500 octets et à partir de 1500 octets),\n", + "on affiche ensuite la latence et la capacité sous les graphiques." + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Latence (L): 0.003 secondes\n", + "Capacité (C): 1619 octets/seconde\n" + ] + } + ], + "source": [ + "def indice(tab, val):\n", + " for i in range(len(tab)):\n", + " if tab[i]>=val:\n", + " return i\n", + " return None\n", + "\n", + "\n", + "\n", + "indice1=indice(sizes1_sorted,1500)\n", + "sizes1_sorted_upto1500=sizes1_sorted[:indice1-1]\n", + "sizes1_sorted_startingfrom1500=sizes1_sorted[indice1:]\n", + "\n", + "times_ms1_sorted_upto1500=times_ms1_sorted[:indice1-1]\n", + "times_ms1_sorted_startingfrom1500=times_ms1_sorted[indice1:]\n", + "\n", + "\n", + "\n", + "x = np.array(sizes1_sorted_upto1500, dtype=float)\n", + "y = np.array(times_ms1_sorted_upto1500)\n", + "\n", + "slope, intercept, r_value, p_value, std_err = linregress(x, y)\n", + "\n", + "fit_line = slope * x + intercept\n", + "\n", + "plt.figure(figsize=(10, 6))\n", + "plt.plot(x, y, 'o', label='Données observées')\n", + "plt.plot(x, fit_line, 'r-', label=f'Régression linéaire\\n$y = {slope:.2f}x + {intercept:.2f}$')\n", + "plt.title('Régression linéaire des temps de transmission en fonction de la taille des messages, jusqu\\'à 1500 octets')\n", + "plt.xlabel('Taille des messages (en octet/byte)')\n", + "plt.ylabel('Temps d\\'envoi (en ms)')\n", + "plt.legend()\n", + "plt.show()\n", + "\n", + "L=intercept/1000\n", + "C= 1/slope\n", + "print(f'Latence (L): {L:.3f} secondes')\n", + "print(f'Capacité (C): {C:.0f} octets/seconde')\n" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Latence (L): 0.005 secondes\n", + "Capacité (C): 349 octets/seconde\n" + ] + } + ], + "source": [ + "x = np.array(sizes1_sorted_startingfrom1500, dtype=float)\n", + "y = np.array(times_ms1_sorted_startingfrom1500)\n", + "\n", + "slope, intercept, r_value, p_value, std_err = linregress(x, y)\n", + "\n", + "fit_line = slope * x + intercept\n", + "\n", + "plt.figure(figsize=(10, 6))\n", + "plt.plot(x, y, 'o', label='Données observées')\n", + "plt.plot(x, fit_line, 'r-', label=f'Régression linéaire\\n$y = {slope:.2f}x + {intercept:.2f}$')\n", + "plt.title('Régression linéaire des temps de transmission en fonction de la taille des messages, à partir de 1500 octets')\n", + "plt.xlabel('Taille des messages (en octet/byte)')\n", + "plt.ylabel('Temps d\\'envoi (en ms)')\n", + "plt.legend()\n", + "plt.show()\n", + "\n", + "L=intercept/1000\n", + "C= 1/slope\n", + "print(f'Latence (L): {L:.3f} secondes')\n", + "print(f'Capacité (C): {C:.0f} octets/seconde')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "On traite maintenant le deuxième jeu de données \"stackoverflow\".\n", + "\n", + "Représentation de l'évolution du temps de transmission au cours du temps, pour le jeu de donnée stackoverflow.\n", + "Nous pouvons voir des variations notamment à certains moments précis, ce qui montrerait que cela serait lié à des phénomènes externes et ephémère, et pas seulement à la taille des messages." + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(10, 6))\n", + "plt.plot(times2, times_ms2, label='stackoverflow')\n", + "plt.title('Évolution du temps de transmission au cours du temps')\n", + "plt.xlabel('Temps (secondes depuis 1970)')\n", + "plt.ylabel('Temps d\\'envoi (en ms)')\n", + "plt.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Représentation du temps de transmission en fonction de la taille des messages. On peut observer une rupture un peu avant 1500 octets." + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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Ksmtubsb555+PE088ESNHjsQ555zD/uaIiIhCxAAtJF4CtDC1tbVh7ty5aG1txbx583DFFVcUOklERERFhwFaABoaGnDJJZfghBNOwLHHHov7778fGzZsQP/+/dG/f38AwE033YS+ffvimGOOwX333de57KxZs3DmmWfihBNOwKmnnoq6urou6y4rK8MZZ5yBqqoqrFmzBueddx6OP/54nHfeeVi7di1qampQUlKCjo4OAEBjYyMOPfRQtLa2YuXKlbjooovwzW9+E2effTaWLFkCAPjJT36C22+/Hf3798cvfvELXHPNNZg3bx5OPPFErFy5ssv2hw8fjuOOOw7HHnss7rzzTgDAqFGjcPvttwMA/va3v+ErX/kKAGDlypU466yzAjjCREREyZa4VpxW97+zCIs31Pq6zm8ctDfu+/4xOed5//33cdBBB6GsrAwAUFNTg6FDh2LcuHE44IADAAADBw7EF77wBbS3t+O8887Dp59+iqOPPhpXXHEFRo4ciVNOOQW1tbXYY489Otc7evRoPPHEE3jvvfew33774ac//SmuvfZaXHfddRgyZAhuu+02vPnmmzjhhBMwYcIE9O/fH++88w4uvPBC9OzZEzfccAMGDx6MI444AjNmzMDNN9+Mjz/+GACwbNkyjB07Fj169MD48ePx2GOP4d133+2yXxs2bMCdd96J2bNnY7/99sMFF1yAN998E/369cOjjz4KAJg0aRL2339/rF+/HpMnT8bZZ5/t27EnIiIqFsxBC8Bxxx2HsWPH4s4778SkSZOwzz77dJtn1KhROPnkk3HSSSdh0aJFWLx4MZYuXYoDDzwQp5xyCgBg7733xq67GjH0uHHj8Ne//hVlZWXYb7/9AADTpk3DVVddBQD48Y9/jMmTJwNAZ5AHACNGjMAVV1yB+vp6TJ06FQMGDMCJJ56IX/7yl9i4cWNnegYMGIAePXrk3K9Zs2bhnHPOQe/evbHrrrvi6quvxsSJE/HlL38Z9fX1qKurw7p163DVVVdh4sSJmDRpEgM0IkqE7Y0tmL6qutDJoCKS6By0fDldQTnyyCMxe/ZsvPfee7jrrrtwwQUXdPm+vLwcjz32GGbNmoX99tsPP/nJT9DU1ARVzdrC8Stf+QpWrVqFZcuWoW/fvhnnSS176aWX4q677sLWrVsxe/ZsnHvuuWhoaMC+++6LefPmZVx2zz33zLtfqpr1uzPOOANDhw7FUUcdhbPPPhtDhgzBtGnT8Pjjj+ddLxFR1F04aCI21zZj9cOXFDopVCSYgxaADRs24HOf+xyuueYa/O53v8OcOXPw+c9/vrM+WW1tLfbcc0/ss88+2Lx5M8aMGQMAOProo7FhwwbMmjULAFBXV4e2tjYAwOGHH4433ngD1157LRYtWgQAOPPMMzFixAgAwLBhwzrre+2111449dRT8etf/xrf+9730KNHD+y9997o06cP/vWvfwEwgq358+c72q/TTjsNEyZMQFVVFdrb2zF8+HB8+9vfBgD069cPjz32GPr164eTTjoJ48aNw+67754x95CIKG421zYXOglUZBKdg1YoCxYswO9//3vssssu6NmzJ5577jlMmzYN3/3ud3HggQdi3LhxOOmkk3DMMcfgK1/5Cr71rW8BAHbbbTeMHDkSv/rVr7Bjxw7sscceGDt2bOd6jzrqKAwbNgwDBgzAO++8g6eeegrXX389Hn30UfTu3RtDhw7tnPeKK67AgAEDMH78+M5pw4YNw0033YQHHngAra2tuPLKK3HCCSfY3q8DDzwQDz30EPr37w9VxcUXX4zLLrsMAHD22Wdj3bp16NevH3r06IFDDz0URx99tMcjSUREVJwkV7FV1PXt21fT++f67LPP8PWvf71AKSK7+DsRUZyUlBqNvljESV6IyGxVzVxPKQ2LOImIiIgihgEaERERhWbaymq8PmNtoZMReayDRkRERKH50QvTAQBXnXZYgVMSbYnMQYtzvbpiwN+HiIgot8QFaL169UJ1dTWDgIhSVVRXV6NXr16FTgoREVFkJa6I85BDDkFFRQUqKysLnRTKolevXjjkkEMKnQwiIqLISlyA1rNnT/Tp06fQySAiIiJyLXFFnERERIU2f912lJSWYdpKjt9ZUlqGi/82qdDJiB0GaERERD6bagZm45dtKXBKomHxxtpCJyF2GKARERERRUxgAZqIDBGRLSKyMG36r0RkqYgsEpFHLNPvEpEV5ncXBpUuIiIioqgLspHAywCeBvBqaoKI9AdwGYDjVbVZRL5oTv8GgCsBHAPgIABjReRIVW0PMH1ERESBULCrJ/ImsBw0VZ0IYGva5JsAPKyqzeY8qcL5ywCMUNVmVS0HsALAqUGljYiIKAwCyTvPppomlJSWobktvDyJZ8evwAPvLsaSTawbFlVh10E7EsDZIjJDRCaIyCnm9IMBrLPMV2FO60ZEbhCRT0TkE/Z1RkREcXf6Qx8BAAaNXR7aNh95fylenFyOiwaxdWVUhR2g7QpgPwCnA/g9gFEiIkDGV4yM+cOq+ryq9lXVvr179w4upURERCHa0cJaPbRT2AFaBYA31DATQAeAA8zph1rmOwTAhpDTRkRERBQJYQdobwI4FwBE5EgAuwGoAvA2gCtFZHcR6QPgCAAzQ04bERGRLzgcNHkVWCtOERkO4BwAB4hIBYD7AAwBMMTseqMFwHVqjGq+SERGAVgMoA3ALWzBSUREcSf52wh0UkZ1ZBFkK84fqeqBqtpTVQ9R1ZdUtUVVr1HVY1X1ZFX92DL/QFX9qqoepapjgkoXERFRUFZsqcfxf/ovNtbsyDpPSWkZvvPEhG7TO4osPispLev8u89dZTjuvv8WMDXRw5EEiIiIfDJ85lrUNrXhvQWbcs63fEt9t2ltHR1BJSvyVIG65rZCJyNSGKARERH5jMWV5BUDNCIiooA4qILGhgXUBQM0IiIinzHWIq8YoBERUVF5f+FG1Oeo7zRjVTXWVjdm/G5VZfe6Y1Zb6ppzfr90U13W75y0+CwWSzbVot3n1hPbGlqwfvsOLN1Uh7b26Nb7Y4BGRERFo6q+GTf+cw6uHzor6zxXPD8d/R4dl/G7cx+fgNYcD/V35ht9rGcqrlxd1YALB010luAitnRTHS4aNAmDxi7zdb1nPPwRvvXwx7hw0EQ8PGaJr+v2EwM0IiIqGo3NRhebG2uzd4ORj5McHWuuWHVD7tw11kHralNtEwBg3rrtvq63qXVngD1n7TZf1+0nBmhEREQ+YytO8ooBGhERUQSwDhpZMUAjIiLyGfPPvAsjFzLKvxMDNCIiogxKSssweXlVt+lO4gbp0hNa7iwyN/HIS5PL8ebc9fjT24t8b+2Y8vqMtRi3ZEsg67ZDLFmLNTtacffoBdjRkvzhuhmgERERZfFA2WJ3C4aUNfOXdxfjNyPn4eWpqzF9VXUg2/jD6AX46cvZW72G6e8fLcewGWvx+sy1hU5K4BigEREROaABRV+sg5ZfKpOwGBphMEAjIiLyWfLDh+CFcQyjHOcxQCMiIgqINVcsXw5ZlIOFQrIetqByL6OIARoREZED1kAqW2X1QhTBCYDW9o5EF/+ldk1slAfnGvEhDhigERERubCmugFf/+P7ePJDf4cicquuuQ1H3D0GT3+8otBJCczLU1fbmu/DxZtxxN1jsHhDbbAJChADNCIiIgdS+VNrzAHVozJc0LaGFgDAqNnrCpwSn3jICPzos80AgPkVuYeJinJeIwM0IiIin2V68OcrlEtwyaQnxdq6lQEaERGRzzrrSoW4zWIKZIphVxmgERERORD1SvgRT14oknAMGKAREVFRa2vvwPf+Pgn1zW14e/6Gbt/baQ04dWUVPtvoT4V0VcWoWetQ39zmaDnJka+0raEFo+dW2N7+iJlr0djibPsAUF7V0Dks1C3D5mBBRU3O+d+atx5bzbpz3dJhKSgur2pAn7vKHKcn/Yjc8+aCtI1EN5LbtdAJICIiKqT/zKnAwvW1eOKDZRgypbzb9/+YsLLL50yP9KtemJE2T/e58nUNkVrmkzXbcMd/PsX0VdV44ooT86TenttGzMWk5VU46dD9UHLAnjnnnbS8CqVvLMCC9TUYePlxjrbT/7HxAIAlf7kIZQs2YtLyypzz/3rEPJxa8oWc84hlvV79c3p8hohiDhoRERW1ljYjh6ylPXOfZlsbWh2vszNjxkXFsEazb7XK+mZnC+bY1ObaJgBAc1v+3MBUzlmV0+1bpPa/xUbu48baHY7XXwz17RigERERJUiES+0c8bIfSRhxgAEaERFRDukP+/TAwW4gYTfTx20jBDvrdxK4hBXo5duOnVEDsi+bZ9uu1xw8BmhEREQu5Hr4u3nwpwcqXgKTdLkaEGSamwqPARoRERW1VMvN9o7MYdXQKau7TkibbfKKqu4L2ewHbfhMd5XWz318PF6ctKrLNLcBXaaWq1FXDJ3+MkAjIqKiNmu1MVRTbZPzbiW8uuuNBflnymBVZQMeKPvMlzTc//YiX9bjNz+CLGc5h9HCAI2IiCgEdjO43MYltuqgOVh5WJlQeeugFXDbhcQAjYiIyIFURftcuTNuWhGmL+FnYOKk9LMYurCIAwZoREREPuscizPEYMfttiKciZRV/k5/448BGhERkQNui8VWVTZ42u6W2ia8t2Bj3vmCHCtUVTF37bZQxiNNbWHhhtzDReUU49xABmhEREQh+M3IefZmzBL7XDhoIm4eNifrYnZy0BzVQcsw75vz1uPyZ6finU/zB4p+2VzrfkSDfKLcoS0DNCIiIhf8Lr7s3g9a18/bGnMPOeVXi8Vca0nlAq6u8pYbSPkxQCMiInLATp5LIfNlnG47jOJKv+UdISB+u9QNAzQiIiKfpYKeMPvh8r9BQmGjHD8CxxhXQWOARkRE5MTO4Cug9QcYGNlZt59DTNlRyBy8KOe0MUAjIiKKgPTgSQCc/8QE3PHv+dje2OJ4fdcOmYmrX5xurCtH0GU3RhmT1oL01tfn4Pt/n+w4XWHY2mA0LGhq68g536INtWEkx5VdC50AIiKipPErY2bFlnqs2FKPz/fqaX/b5sYnLqv0KRWGm4bNwa/O/Vrn53dDbMmZLl8e37ilxr6PnlOBH59+ePAJCgBz0IiIiByw1UjAQ0e1bovd7BRNeu1mIwjZNuPH5sMurvUTAzQiIiI3An72+xlcOFlTfEOaZGGARkRE5EBgOUse1+s2sIpyRXmv4tiFSAoDNCIiKhrbXFS296JDFdsa3G2zxVLB3Unw5bQVaM2O1s7/W9tzV6rPpc3DsilNre1o77CRfh9zF2ubcncAXCgM0IiIqChU1jXjsmemhLrNQWOX46S/fJgxCMgWDKUyfSavqHK0LS8xy+TlVTjh/g9w4ZMTd6bD4Tp+/NJMV9u2ZnIdfe/7+N2/5neb7padYuLj//SB9w0FgAEaEREVhap6f8Z0TOVQOemEtibDME1t7eEVv+WLU5ZsMrqbWFXV4DrQm7aq2t2CaUbPXe/LegAWcRIRESVSmM/3XJuyEzSFOWpBoRXDngYWoInIEBHZIiILLdP+JCLrRWSe+e9iy3d3icgKEVkqIhcGlS4iIiK72jNFaBHPlPErqIxz7lMKu9nI7GUAF2WY/qSqnmj+ew8AROQbAK4EcIy5zLMi0iPAtBEREeXVkaPCelDPfrdhkZ302Im5wo5psjdqiH+A6EVgAZqqTgSw1ebslwEYoarNqloOYAWAU4NKWxzUNrXitelrEvEGQ0QUVxlz0GLITdA1bmkl3p6/wdN2m1rdteycuqIKq6sbPW0bAHa0tKPfI+PQ1NrueV1hK0QdtFtF5FOzCHQ/c9rBANZZ5qkwp3UjIjeIyCci8kllpb/DWETJPaMX4t43F+KTNdsKnRQioqIVZAlnetCQ64XcTlFdEBlftw2fm3F60HHrVS/OwMNjlmT93m7AuXhjLdZubcRLk8t9Sll4wg7QngPwVQAnAtgI4HFzeqZDnfHnV9XnVbWvqvbt3bt3MKmMgK1mvzlxjPqJiCi/jixRjteSk1xLO+0jLQxhZFKG2WLWL6EGaKq6WVXbVbUDwAvYWYxZAeBQy6yHAPCWr0pERBSAznE2C5uMbnLlKjlp4Wnaj1tkAAAgAElEQVRn3hjXvY+NUAM0ETnQ8vFyAKkWnm8DuFJEdheRPgCOAOCux7uEiOJbDhER+cfJXd5ePMSoKUl2DWrFIjIcwDkADhCRCgD3AThHRE6EcV6uBvBLAFDVRSIyCsBiAG0AblFVlu2huPq1ISIqZnwtt68Yno1BtuL8kaoeqKo9VfUQVX1JVX+sqsep6vGqeqmqbrTMP1BVv6qqR6nqmKDSRUREBAAvTynHcff91/Fypz/0UQCpAd6atwGt7R15A7Wj7839iEyv0/X/Rs3HgvU1Gb/zw5XPT/O0/JY65yM8/GH0AqzYUt9t+iPvL8G5j4/vNv3Jsctw3ZB4FcxxJIGISkjLbiKiyPrTO4tR19zmenmvnaBmus/XNWVJj2VT2bquyJac/8ypcJYwh7s1fZXdHrX8Vfbpxm7Tnh2/EqsqGzLOP2FZvHp+YIAWcayISUREdoT5uGAmQvAYoBEREVHsJL0xHQM0IiIiF7yWcGQLMLznTmVfgZ1V29ktlu4EjwFaRDH7mIiIUuz1TRZ81DSzvDD1zXLZXNuE1VWZ653FWWDdbJA/+JJCRESTluev4B7G82JGBAO00x40WtWufviSAqfEX8xBIyIiipTuRSjbzOH/PK85QcUzCdqVjBigRVTSKz8SEUWOw9uu5xwrB9tzUnzpNXAJo6iU8mOAFnW8ToiIyIYw46qk515FAQM0IiKiBCi2jK+kx4hsJBBRfDshIgpX2YLuPdNn88j7S7BrD295HNNWVWec7vX+n2txdrMRHwzQIq4YBoQlIoqbZ8ev9LyOX4+Y50NKduLzIllYxElERETxk/CiJgZoREREScAMtETJW8QpIvsDOBPAQQB2AFgIYK4mqTOVCOLBJSIqTpnu/07qfOV6PNt5crN+WTRkDdBE5GwAdwH4MoB5ALYA6AXgSgCHi8gIAE+qan0YCS1WvFCIiMgOO4+L2qZWX7bV0Nzmy3q82FTbVOgkBCpXEef/ArhVVU9W1etVtVRVf6OqFwM4CcBnAC4KJZVERETk2U+HzsKmGu+BzT8mrvIhNd6M+qQCbe0dhU5GYLLmoKnqb3N81wLg34GkiAws4yQiIpOd0hS7IwBsqNnhMTXR0daR3Idl3kYCInKriOxt/v0PEZkpIucHnzQCWOeTiKjYBNkPmh3sriMa7LTivEFVa0XkAgAHA7gJwF+DTRYREVGwklbH1+7usIlfPNgJ0FI/5XcBDFXV2TaXIw84WDoRETmRtICz2NkJtOaLyHsAvg9gjIjsBdaQCo3dOgVERBR/2xtbMr6gh1nsyMdONNgJ0H4K4E8ATlXVRhhdbfwsyEQREREVo0Fjl3teR/4iTOaxxEHejmpVtV1E6gGcLiLW+ecGlyxiHQEiomAJoheqtHtolcjK/cliZySBFwD0BbAYQKrDEQXwdoDpIhOzmomIyF43G8Gng8KTN0ADcBaAb3BoJyIiouAF/bTNt37GedFgpw7aDABHBp0QIiKiMCW1ERbzU5LBTg7aSwBmiMh6AM0wi+1V9eRAU1bkeHkREZETfoWbV704w6c1kRd2ArQhAK4HsAA766BRSJL5fkdERE7YehbYfGAwAyAe7ARo61T1jcBTQkREFKKovgAzgCLAXoC2WEReBfAOjCJOAICqshVngFiHgIiI3ODTIxnsBGj7mP9fapnGbjZCktA6rERE5ICfDRr4/h8Pdjqq/XEYCSEiIgpTVF+A3ZagsKPaZOGg5xHFFxwiIqLixQAt8vhGRERU7Bw9CfK84bOOczwwQCMioqLEIkGKMjtjce4G4H8AlFjnV9UHg0sWEREROWG3Th3zz+LBTivO0QCaAMwG0B5sciiFOdBERETFy06AdriqHht4SiijqLYyIiKiEDl4FkT5/X7JptpCJyE27NRBmy4i3wg8JURERGFK2Auw3d0pZAnNHf/+tHAbjxk7OWinAZgrIivAwdJDE+U3ICIiCg6ruBBgL0D7n8BTQVkl7AWPiIhccPIsiHI3GhFOWuTkLeJU1ZUAegP4lvn3dgCtQSeMiIgoSMX6Aqwso4kFO91s3APgWwC+CuBVAL0AvA7grGCTVuT4mkFEVJTcBlB+jtfpVVhBYFNrcjuXsNNI4IcALgbQAACquh7A3kEminaK0gVHRETkhd+B2+kPfeTr+qLEToDWrEaBtgKAiHwu2CQREREFL07vv05e1vOGQAkqoGlq7Sh0EgJjJ0B7Q0SeAbCPiPwUwAcAhgSbLCIiIkoa1t6xz04jgb8CeBfA2wBOADBQVQflW05EhojIFhFZmOG734mIisgBlml3icgKEVkqIhc6243k4TlMRFSc3AYxUcoRZCDmnZ1uNqCqYwCMcbjulwE8DaNhQScRORTAdwCstUz7BoArARwD4CAAY0XkSFVNbu0/myJ0vRERJUqcBkv3M6WMneIhaw6aiIwTkZtE5KC06buKSD8Recks8sxIVScC2JrhqycB3IGu58hlAEaoarOqlgNYAeBUJztCRERE0c29Kikti2zaoihXDtolAH4OYLSIHAwj2NoDwO4APgLwjKp+4mRjInIpgPWqOj+twuPBAKZbPleY0zKt4wYANwDAYYcd5mTzscKTmIiIkmZDzY5CJyE2sgZoqtoI4CkAT4nI7gC+CGCHqla52ZDZ+vNuABdk+jpTErKk63kAzwNA3759Ex/GRKlOARFRkkT1/prpBd1OWqM0Fme2TbR3JP6x7Ru7ddCaAazzuK2vAugDIJV7dgiAOSJyKowcs0Mt8x4CYIPH7RERERHFkp1uNnyhqgtU9YuqWqKqJTCCspNVdROMFqJXisjuItIHwBEAZoaVtijiUBxEROQGnx/JEFiAJiLDAUwDcJSIVIjIz7LNq6qLAIwCsBjA+wBuYQtOQ5xaGRERxUmx3l0LGsAxdrTNVhGnG6r6ozzfl6R9HghgYFDpISIiioNMMYydl/Uo1alTtnTzLGuAJiITVPXbIrINxvki1v9V9QshpbEo8dwmIiIqXrly0Pqb/x+QYx4iIiKKkHwv+IXMAGDeg325utnoMP9vF5FjAZxlfjVRVReHkTiKVpY1EVGSOBmAPEyZigcjmtSsGIh5l7eRgIjcCqMC/2Hmv3+JyM1BJ4yIiIiciH4Ux7pp9tlpxXkDgFNV9Q+q+gcApwG4MdhkkdNz+OExS7C9sSWYxFCoVBX3vLkAbe0dhU4KESVQECHS4g21Aay1uNkJ0ARAq+VzK+IQpheRZZvrMHjCStw2Yl6hk0I+GDFrHf45fS2eG7+y0EkhSrSkPsgKkUd18VOTCrDVZLPTzcZrAKaLyH/Mz5cDeCW4JJFT9c1tAIDaHa155qQ4qGsyfsfaJv6eRMXIbYAVpXpq2UqBWMBpX94ATVUfEZFxAM6G8cJxo6rOCjxlRY4nMRERBYH1wOIhb4AmIo8DGKmqT4SQHkoTpTciIqJE4f01dIwN7bNTB20xgAdEZJmIPCQiJwadKCIiItrJUZcgDIISIW+ApqovqeoFAL4FYC2AQSKyJPCUFTlmQQML19fgyuenoamVw7ImxaTllfj5K7Nsn9/TVlbjJ0NnoqNj5/wlpWX4+SvRrWVRUlqGP78Tz64ibx42GyWlZYVOBmW4POxcM3ZDuFCeLnyEeeZksPRDAZQAOBhAeSCpoW6KebD0P761ENNXbcWiDTWFTgr55GevfIKxn21Bc5u9LkRuGjYb45dWoiatAczYz7YEkTzfDJkSz1vkews2FToJoSreu2vhFHSg9pixUwdtIIAfAlgHYCSA01R1a9AJIyIiIkNURz2g4NjpZmMjgH6qujnoxBBlwtLe4sXfnopRplwmJ9Ve8uZShXBdZUsDr2n77HSz8bSIfFlETrXOr6pTA00ZFT2+MSaP21+UpwIFIWn3mKTtT7GzMxbnQAAzATwA4F7z3z0Bpyu2NmzfkfW78qoGbG3oPhzT7DXbuk3bVNsEwN8H08aaHY7ewrKl166Wtg5U1jW7Xj6lEC9czW3tWLg+OnXfOjoUG2u6n1uVdc1osVmfK0rsnoZBNZZpam0PvW7jltqm2A/fVV3fzEY7CRBGPbA43peixk4jgR8COFJVL1DV75r/Lg46YXH0xpwKnPnwx5hZnrmKXv/HxuPkv3zYZdpb89bjB89Nxei5FZ3TVlXWY3ujv73IL9lUizMe+hhDp6y2vUym9Drx6xFzccrAsa6XL+S74A2vzsb3/j4Z2zwEqH4aPHElznjoY5RXNXSZfsrAsbht+NwCpco5ty8cfjeWufrFGbjkqclobGnzdb3ZbG9swakPfoQHyj4LZXtB+eYDY3H9y9FtQUuGKBQj/uK12RmnRyBpsWEnQCu3OV/RS+WELd1cZ3uZ1VWNAIDyyp0P3vU5cuHcWlNtbGfaqmrf153NmIX+tAgrxM1mVVU9AKCuKZwHeD5TVlQBANZv635uvL8ofi3v7L7BB/XTr6o0ft+m1nDe8mt3GOfRR0viX5V36srw7iHFKgoBllerttQXOgmxZ6eRQB2AuSIyFkBneZWq3h5YqmLKr2vKenH6XaUgThc+q1N0F/cm6q5zwhJyLsTp+isGSbvH2O4HjedhLNgJ0N43/5FNUbzmo5gmu9hpb/L6w7P9kybkp09aIEDkWkKu6TDYacX5kojsBuAwVV0RQppiy684ItjzN/yrQ1VdtS5KWlDiB+s5FsfA1XUdtIScCjH8ySiGeJolg51WnJcAWADgQ/PziSIyOuiExVnqYTJpeSU+8Fg/yK8gxWvz639MWOm6btzUldU446GPHC3T1t6Bmavj0R/yrNVb8c0MjSm21DahpLTMVqu30XMrcNnTk7N+X8gA5e8fLcctr8/xdZ1OHyC3j5zn6/bjYNnmOvxz+hpf1+nknCwGdi6rtVsbfdlWh83ovGzBRiwMuIVxGC8K2TYR92oaYbJT+f/PAE4DsB0AVHUegK8Fmaik+PFLM3FDlpYsheLmwly/fQceGrME1w9113rrtuFzsbGmCdX19rvc+HjJzqF8on45/79R81Hd0IJ1aTfyv320HADwnzkVmRbr4rcj52N+Rf6bsvVYhJUb8/iHy1D26UZf1uU0zkztYtSHdgrCBU9OxD1vLvR1nU7OSfKXk8YV/5y+1tU2kpLTTAY7AVqrqm5Pmxb1Z2aB+HNYgii68nLdpgaqrm9216Ix9eboZK/idIKl3gjTf7bURxZrUVQenDwnC8frMedvVnzsNBL4TET+D8AuItIHwK8BTA82WfEW5bpTcbzGeWPayRq8x/mw2H0JiWM9u1yStj9xl9Se9/OdZ2GchdnSwEvAPjs5aLcC+CaADgBvAGgC8JsgExVXQTQS8Ov+4WU9XtPA69G7pDxIkrIfThXrflO4opw5QM7ZacXZAOBO8x/ZkNR7sdO3fxF/glZWKk2eIutlg4hMvKbty5qDJiIviMjzIvJomAmKM7vBSElpGVanDdnTdUX+pCfjqs1Envf4eJSUltla5imzYrH7bdqf93f/mo+S0jI0OxzHraS0DCWlZY7G/vxg0SaUlJblHD/VKtsxW7fVWN6Pitc/fG5qzu+7NhLofmAHjV2GktIyVNU3o6G5DSWlZbjX54rmKf0fG48Bg430Dhg8Ff0fG593mYS+uwAwzsEnPlyWcx4/Lu2S0jKc6bBVtFM3mo2b2to7UFJahluGeW/FW1JahiPvHmNr3temr0FJaRnWVOe4T3q0busOT2MNxxmL2uMhVxHnCAAjAbwVUloSw85DaMmmWt/WZWs9aStaWWn/xjd+aSUA5w8XN2kfZ7berLcOseRgw2u32t+vUZ8YAZXdQdHzHbNJyyttbzubT8zhwtLlOpbW3zb1W63d2tj58LG2iPVTeVUDZq020jtr9bZu44TmYn+wdDcpK5xsLzN+B6Ybapp8XmNXqeHDWtuNH8CvIapabA4WP3GZcR4v2WR/2DzaKQqXTRTSEHdZizhVNdhXtATyqyguyCI9N2v2XActbk/ZKNOMf8ZHkrPQbOClQMWOzwP7sgZoIjIXOZ4BqnpyIClKgCjWQfOj8qjT60r8qoRGOc+pCJ5u+RXZaRHFewLFi58v7kV2+cVWrkYCPzT/vxFADwCvmZ+vhjGAOqUJIhaJwmDpXoM7r4eFN5OdrDfpOMa+zjuqjeFO5pC0/SGi4GStg6aqK1V1JYAzVfV2VZ1r/vsdgAvCS2I0PPrfJVhVWZ/xu/rmNtzx7/mdn6eurMY2S+XT2Wu2Zl3WSlXx/sJNaGnz/yY+0Yf6UZtqndV7CTLToLyqAY/+d4mrZddWN+J7f5+E2h2ttuZvam3Ha9NWd5n2zvwNGLMgd+/6i/LUbZuxqhqvTF2dc56U3HXQopM909xmbwghPwKVxz9Yio/z1I365/Q1eHb8Cjw/caXn7aWvd+qKqpzzvDS5HLPXGMOV3f/24ozzrN++Aw+8uxh3/Ht+3o6gP16yGf+evbMhyqcV27uNXhGUptYOvDN/g615p66syjlqSKp+mdWqynos2lCDOWu3ZW20s3xzHZZuqsMz41ZkrTfa2t6B34yY29m5NgB8snorNtU0oaaxFX8YvcDWPsSdm5e3bY3+NpjIloYgX1E+XOxPXcmosNNR7V4icrqqTgcAETkNwF7BJitaWto68My4lRg+cx3m3Pudbt//8a2FeGPOehy4Ty8AwFvzNmCVpUL5D56bZms7E5ZV4sZ/zsbRX/68Pwm3GDplNYDC1EHzekVmutAHDJ6KqvoW/OrcI9CrZw9H6+v36DhH89//ziIMn7muy7RfDZ8LAFj98CVZl8s3dNMVzxv9PV93ZonttHQZLD2CuTGPf7AMf7j461m/dxpM5nrQ/P3jFQBy/wbWoZJu6PdVR9vOJbXeXNv+y7tGUDb+d+d0VrpP35/rh87C0s1GgURru+LJK07Mur7rX/6ky+dLn56SNw1+Sp3z+Vz1wgwc8cW98OHt3874/bVDZnZL87mPT+j8excBzvv6l7ot950nJ3b+/eh/l2bc72fGrcCb8zbglD5fwNWnHQ4A+OHgafjcbj1w1tcOwNy16YPiFKdM19Uz4/x9iSmEX7z6Sf6ZYsROgPZzAENFpBeMR20TgOsDTVXEpIYqyvaG22BOt7Y8TN10nUi9wazf5m5Q8qgJMmMn9VuEUczn12DJXuQKbKKTf+Z+OLAk25FjYHLr8UrSsVu+JX+JQTYdHq7p1L24Ie1YNra0o6El3sc3jlUaMknKfoTBTke1swAcKyL7m5/tj/hazDychF0X9ffx66YFTYEz0CKZU1QoXXLQYnxYbHezEWwyQpe0/UnHFnpE/rGTgwaAgZkdXm9Nqcr4SbnJGfsT/32JwvApdvtBi7o4pZUouYK/L/PF2js7Y3GSC15Ozqid1oWuhJ6QeNUXSTkUtvcjKTtsSvq5nPT9IwoTAzQHWvIMP+SkDsmN/+w+dEoqDrLe5C5/Zgpmrd6ac12/eKVrxciyTzfiuiEzOz///JXgKk4+P3FlZ8uoO/49Hy9NLkd7h6KktKyz1/BsOYIzVlWjpLQMW2y2Dp2zdhtKSsuwPq2V16hP1mWcf93WRnzniQnYUuet1/X0+PTVaaszztdmqTyTaUioicsq8cPnpqK9Q/HWvPW2tl3X1IqLBk3MWafRTQ6f9Xdz6v+Nmp9zmLCaHa0oKS3Df82K8VbpKS0pLcMtr8/pHKrr8Q+WZl1vvqHJrhsyE2WfZm9Z+8y4Fej7wFiUlJZhW6PRgvd/n52CVpu926ec/qCzPrybctRBs/pw8WaMX7oFJaVlXYYg8nr+Bu0Poxd0tpINKj7bWJO/Xm57h+KFSeUAghs9gyhMeQM0EflfEfm8+XepiIwSkexNjQiAtzdJa+5bXXMb7hmdeyzF6rTx5G55fQ4mWJqyj/1sZ9Njv99wH3xvCV6fsRaAMXTSX95djBqb3VeMnGUEVpOW5+6uICXVxcC4tJvvkMnlGed/ddpqLN9Sjzfn2guG7PrHhFUZp2/MM/zOb0fOwydrtmFbY0tnq9p8pq6sxpJNdagwG45Yg10vv6X1d3Mq35ijC8zWq9kCWaDrfliDqlTLTDcmLKvELa9nHzPy0f8uRVVa9w+rqxuxyeGwSU67m/lsozW4zv2jDTN/E+tLmd/nr99en7EWD77XtcsbvzPdR8zM/BJmZQ1qp6/K/VJb7MLI6WRuqnd2ctD+pKp1InImgO/DGJ9zcLDJoiQpdEe1UbtR+J6eGNXrctzNRgLKOL3uQ9TO31ySUn+WKArsBGip/PnvAXhWVf8DYPfgkpQMXm5T6fc4P99G3Tws4lqx26+6c3bXk28uN8lJX0S7/B3fh2GUUh5mTFEs8Yvft4y43oP8VCSnDlnYacW5UUSeAfBdAN8Ukd3AumuBSAUCSbsQvT6UvL6VR+14+h1YxenZ5XiopzCKYgI+Qzyf//4kIxRxSmsx4+8UD3YCrf8DMAHAxaq6DcABAEoDTVWEWYch2VzbhKWbMlfe9hJUZGqMUNPYivnrtmNtdSNWVzVkWAqYty5/L9lVdS0ZGzOkr9c6j/XtdXtjC2oau9cxq6zLPrRLPhu278jbAMOqIkdHvuu27vzOr8DF7npEjOOWfizmrN2G9dt32K6b13Wd3bdesa3RccV2q0xD7djl5LzOdU7kWk2m8ytImdLS1NqesW5aITqTzVdHzk4F+mwaW9owdEp5l6Hp7KZp7tptWX9jP1t+N7W2Y76NextFC4NA7/IGaKpaD2AJgHNF5CYAB6jqmMBTFlFnPvxxZzBx2oMf4cJBEzPO52pIpRzf9X98PC57Zgr6PToO5zw2Put8+YK0pZvrcOGT3dOcvt5zHs28jRP//CFO+PMH3aafMnBs1m3my6F4/MNlKH3j0xzLdzV4QvYhSX4zch5WbOkaNIdZrHTRoIndjsUbc9bjWw9/jNZ2MyEe0rO9sQVn/XUc7nt7kav9Gr90C661tPB16oVJmRtIZLJsc/fe5O08t3/68s70hfHTZdrGz16ZhdMf6t5a8xyHw4Slr9/N/rycZ7zWMx762MVaDT96YQbuf2cxTvrLh46WO/2hj3D5s1O7net+XWvWMUavHTIT45Z6H0uYKG7stOK8G8BwAAcDOATA6yJyV9AJi7J2L2OR5JDt4SUiXVoo5bLJxtt0ejcVmVhbu4XRUWt6y0wvOnPYfEq23cwAgeTM3XO17bTPtTuMHBxrLpiTzAqv6Zu1epun5e2YE/J4iZlyBaesyNwvd1W9vwNKF9ra6sy58V55vfSsx3lmub0WmXGukxm2YqkLGXd26qBdA+CbqtoIACIyEMBsAA8FmbAos3Mj4AWwk51jkXMWh8cyfXtRu3F7akBiLi1SmCIEv0J1u79JGK0CA99Cl65RonUu+i1q1xpRnNmpg7YGXQO5XQHkLecQkSEiskVEFlqm/UVEPhWReSLygYgcZPnuLhFZISJLReRCJzuRFNlyqgpdCTyMFlR+PrdSOZx+5fw5qYNmh5N9TV9nKvN2F8sXYQ5FtYvnk6HQZ3N3QcdMxRiyFKLVZRSGZAtS7IL7mCU3iuwEaI0AFonIiyLyAoAFALaLyBMi8kSO5V4GcFHatEdV9XhVPRHAuwD+CAAi8g0AVwI4xlzmWRHp4WxXwhO366TQwh4svSPtBwrr9wri8dA9QEsFn4W5Yfv24I3UYOnhHcek3zp4b4wH5nTGg50ArQzAnwBMAzAdwJ8BfAxgkfkvI1WdCGBr2rRay8c9sfN+dRmAEararKrlAFYAONXeLoTPr1PbWhH23QUbc9RB82mDNk1Z0bVn/0ybf/fTDVmXT29hmKmF5o9fmoE3LD2kuw02jvvTf7tNu+G12SgpLesSqA2dUo7PNtZ2m9eO9BZpdurw5ZJ+c1xb3ZhxvhcmlWPOmq71sR553xgKaXV1I9aYy4kYvfa/PKW8s5HI/z47FQvW17hO49jFmzMP1eTyXGxobsMf31rYrSf/fNycFiWlZXht+hpX21BVHHm3v22grOvfbrZQfXHSKizLMXxXHDU0t+HhMcaIAvlys3KNMkFEhrx10FT1JT83aNZhuxZADYD+5uSDYQR/KRXmtEzL3wDgBgA47LDD/Exa6H768ix8/3ijlHdVZTCVdd24+sUZeee59fW5+N7xB2X8zs44eHaHd8qnrUO7DXWVMmbhziGE7n9nMQBg9cOX+LLdTNx2LfDk2GVZv3t6XPahj370ws5L5o9vdX9Xuu/trO9Pef38VWP81vTj5bYY6ZlxK/DqtJ1BU9Dv7/e+uRA/Pv1wx8tVbNvROYZskB4o+wy7/Xcpeu+VnD6/nxm3Im+L05Q/vrUI155R4uv2mStkXxL6FywGdlpxXiQis8z6ZFtFZJuIuB7oTFXvVtVDAQwDcGtqM5lmzbL886raV1X79u7d220yPPGraCl9EOVsj75C96LteHgeF4cn1yL51pft+46O1Pfefi+/D3+3Rgwu05c6f7KlL5CbsMuD4aXftqB16QYjgGOW7fd10vdfHHT5jZNdHawgGO4UHztFnE8D+CWMHK3eMDqq9SMyeh3AD8y/KwAcavnuEADZy9ASotCBV9L5dXz5O+3k9lCkB/lRqqsUpbTEmZ+d0xKRvQCtAsA8VW1V1fbUPzcbE5EjLB8vhdEBLgC8DeBKEdldRPoAOAKA+940AxbU/TxrHTSXj0W/cvpCue3mSKrb3Ugdz6g9gH0fKz3EB6P3VpzRE/hQT4GuPZqSd5YkSzGek3Fkpx+0OwC8IyLjAXTW8FXVp3ItJCLDAZwD4AARqQBwH4CLReQoAB0wuu+40VzXIhEZBWAxgDYAt7gNAuMk6c3CnQimNM7e8c2/bZuDpYf8cxr7F+6t1u0+dh/0PTqPiMC72YjOrgaq0Hcz3k+jpVjO+yDZyUG7H0A7gH1hFG2m/uWkqj9S1QNVtaeqHqKqL6nqD1T1WLOrje+r6nrL/ANV9auqelTUh5IK7sTL0g9ahod3vdgAACAASURBVMklpWXd6rCls5vOb1uGr/kgQ8u9zbWZxwI87cHMwzv9YfSCnNurttGSz7qOn7/6CRqa2/D6jLV5l7PqzEGzMW97h6KktAxPfLDU0TYybS+f9JzNN+d1Lc1/8L0lcCLfZtdv34GS0jLbPbJ72Zb/C3a1vbF7g5CS0jIszNBitaS0zNY6810nJaVlKCktw/3vdG908Zd3F9vaRrZ0ZWsR/MvXZnf5fMlTkxxvJ5Nc19DIWV2/Kyktw1IHLU2HTCnv/Dt1LZSUluGsvzofiirV2jf9OGTy8pRylJSWYXWeURGyjQ6RJN9/enKhk0A+spOD9kVV/WbgKYkTnwI0+0MIZVbf3IZePb13F7fG0s3DrNXdH+INLZkDwc217gZIX52hW4l8xbF2h7qychITpCo4D564CrdfcFTX9fj8Yl6oN8t567bhc7vZueSzK3Q9o2zn3NSV7lsF283NS+9+Jtu07uv3btEGd13EODFtZfcAZrGD7XaONZvG7+HP0k0x0520bkuCFLtOb4uUnRy0j0Tk3MBTUoTSH3VOn315Wzc6W12IwklZKphwdC/ykLSCFbGEuFnXjQTSlvT7+eBlfXxW+a8Q1wJ/R0oaOwHaLwCMFZF6P7rZSILQ689kidyiVI/HiUw30kL3CLGzOLR7SlizxSKiByPKV0Ix5lYksC1J4cXsNIpZciPJTnnHAYGnokilFxf539+WBrDWYATZZ5edQNaPN/5CPZTC3KzbVpzpi0Xp5p3r3CvG4IqIoiFvDprZmnIAgDvNvw8EcGLQCYuysO/ZWR+JGdIxaOxyR+suxAMorC06GZ0hNSxUhwLlVQ1Yt3VnvRm7McmaLEM2pfPtkLuIlR55P3MDhLlrt2FlZT0AYNGG7ENEOd3krNVbMWjsssCDSE9FnB7PyM21TZjs08gYSSEAasxhrfJ5aMxnrraRatD04eLNGb9/eMySjI1HiOIibw6aiDwNoCeAfgAehDF4+mAApwSbtOTrXgfN+2NsyaadFWXtPHbsDMsUhiCLa+08vFMt0No7FNfYGOoqrmqb2jJOv/zZqQCMoZ0ueSp7SzCnp+iAwdMAADef89Uu0+28GDh5eQjq/LGThO//fTK21LlrMJNkN7+evwUmAPxjwipX67/htdkYfM3JnZ/Tf6rBE1Zi8ISVrtZN3jH32Ts7RZxnqurJIjIXAFR1q4jsFnC6Ii3s0y7bQ9GPdNTs6PqWG8oYbRG8bistD9juQ3D5m//jdzARZstKt8ciynWSvJ6P+YKzKJ7vQRMRrK6yl6PsRZdxeIvxQLvEQxUPdhoJtIrILjDjARHZH0ZHs+SV5PyYl9sxKgst05tVkGm1s2p2cmmP+45qnbfidHJOeCvidPed/fVH9EIMWJSDcqI4yBqgiUgqd+0ZAP8B0FtE7gcwGcBfQ0hbZIU9hFKY97nifJTkFvV+0MJ8EIaZWxfWuZjremYxjTthnSXWnyfpv1TS94+6y1XEORPAyar6qojMBnA+jOtugKouDCV1ERX2WJzZ5Hszd/PmHkoRp81p/m3QRitOvu3b4joHLcLHN+hTvlhjvDB+8yI9tJ6FkavL38a7XAFa5+WlqosAdB/npIhZh2v576LMrYjySc+N+Nkrn9iazy43D4ZswzoFraWtA5tqgtm29TBkGv4nfTiZ6rRRC3zPQfN3ddhus7Wc0yGkgO7HK9NQQanWn05MWFaJV6auzjmPo0YCHqIg66JLNnXtOd/NUE4EQPJXG7j4b5Nw23lf822TSQ+Ey6vst0qnZMgVoPUWkduzfamqTwSQnliIyo0giHR4GTLHrmzpfnv++sxf5FgmDL43Egi5iDxoH32W/wUlPa33vOlvJry3Q7pz4fRWf69MW+NlxWlrJ6vFG2vxm5HzvK0kKjdjogDkCtB6ANgL0XkOJI7XOmhB3JrCuN1ly14P6l7Le3gEuMiGDK8OWkgbKiICez+512NvXZz1Be3joYqHXAHaRlX9c2gpiZGot8oScX8BFvLCzbXpgtZhingRZ1I5asXpZTuWv4NoBFGsD0M7R9LPQ1OkhzmyivW891OubjaYcxYwu8+CrP2g5bkCInuBZElX7iF3vGwuqgeieET5ZmI9t4JIZzGef7YDXa85aMV3aKmI5ArQzgstFXHj000hqL63nNy0lm/pWsE7icUEK7Y4r8RuletXWmtzeCerBB7iQGQKbLI1YvEUwBfhD5KqcL7NZgMTN8LoksX62xXhz+gaj1U8ZA3QVHVrmAmJk9BHEsgSIuTtqNZGSp8b37VSdDh10LJNz751L/d6t61s7ej36LjA1p0kbn6/TOf3tUNmZp7XpzM3iJgiig/DlyaXB7p+EbtFnN4OTgQPLZFv7IwkQAGx/TCIcvmQC9keWEEVcXrlf05A8T1WojxSQ5c6aBFOZ+yE0Eigy7r8WxVRJDBAcyGKb8SZuEpnTPaNyMpbEaflA+MzXxRiJAGyj4ctHhigxUDWbjYCuMoK2c1GLoVsxel7/plfdRhjFEwEnVZvrTj5uPKbiL28SK9Hnt1sUJIxQHMhKjf0/EM9RVP2Is6opthfxbGXXbmJz0I7HYJuxVkk53U6O1UDivXYENnBAK3A0oeWySTbfa6tQ30fiqaQN8yo3qvjlFPlVElpGRaur+n8fMZDH2Wdt6q+Oe/6Xp+xFrPXbMs7n61OTJ2Esl6GerL87Xg83Iics8NnrkVJaRluHzkPjS1tndM3bN+Bh8Z8ho6OcBOafhgzDbEG+JCDFpUfIGZ43OKBAZoLfp7bYxZucr3suCVbcrbGcnMRFrIVZ7GI2r3xoTGfdf69Mcd4qH98y97wTE+OXdZtWqSLOLvkoDlLaPq4rfnWH5S73lgAAHhj7nq8OGnnPeE3I+bhHxNWYX7F9uATkSbs95qoXVdEXjFAi4FsD42OfB3VBpGYAEU1vQnOQHOkrT3cXyisB66XKgt2XoLCPq/bLLllLe0dAICQM9CMbjZCbsVJlDQM0FyIyj0liC4BwrhhZnuoRfVm7Xc3G7712RVy6OjlMATdaalfrTgdF3G632xGvhwlyw7t3J+IXlweWX+7qNQNjgMeqXhggOZC2OX3bp9tbpIZxk3OTUe1UQ3eiomfAaHfLfw85YJZ/nZeB81GDpqDpPkRx2bqNST860dCeYGw/u68R1DSMECjLniT6y6q3WyELezGEmG9CHnZjv85aN4PctccQWN9hTjlkty4JvZieg8qNgzQXAj7AZvtRpf3BqjAuY+P9zs53uUYScBN7hqFw1sRp7P5n/ywe0ODXHzrWy6IagMOzl2/g5rU6gYMnubvivNtN6TgzNpIincIShoGaAm3qrLB0fyFvMkpIlo/zeeHTWxz0DwcCKfL/nP6GodFnO4loZsNq2J6mdlcm7/rF6K4YoAWA24fjK5u1GE0EsiRhVYMj5bi2Mvc8jUaCLpRQReeGhhEsA6ah0YPfhGE/BsimsFyVPEeFA8M0Ch0bgZFL2wGGivTAPCUk+j0Wb2LOHvgemrF6VMDAy/zpPhSB83n9RFRYTBAc8G/sRTt3TyT1ooz+7ZzfJeg1+O47kqYj3oROIpsvPVlZt1u/PvZiMLg7yIF6KiWuUKUMLsWOgFxlOQbQTj9oGWfHsVAzO+Smu/9fbIv6wm7+MpLkVX6kvnWtLm2GQs31OSZyx/WU276qmpnyzrdQB5+/KTW+1Oh8s821zbjgL12D3WbEbx1RBaPVTwwBy3B4nYNao7QN277kkReHvZuYrurX5xhf2ZPRZw7tbR1uF+RD/yut1XIri5a2wt7LInijgGaC0l++yj4WJw5ctcKhbV4DEnt18pTP2gRHOopKm8zSb5PEoWBAVoMuH2rdjVYegh31VxdafCenkxBV1b3q5uNMJfNxJ8iTuv6ChdV81qOLv428cAAzQW/Tm67wZDbW6ybdEa1H7RCpiypOUdO+VnE6fcx9ZYL5mW7/q7fn242Mo3FmXxRrL9K5AUDtBgLu58hv2QNwXKNJFDQIs54Hme/xfV8y89LNxv+npi+5KBFoB+0QmB8RknDVpwu+PWmFsluNkK4yTU0t2WcPnjCyuA3niCNLe2hbi/Kz/pCPZxt5aA5GuqJ/aBR8BjMxgNz0Ch0SzfXOV6moB3V8hlniPBx8FSPLOCTy1ERp8/bLuS5G3aRI2MOShoGaC6EfSNwXwctmrcsN2/1fOMrPE9jcaZFClHK2YlSIwE/8FohSgYGaC7wBlhcmIPmXdCHMOiK/tkX9mWWnfxoJBDJsDF4vC/bV6znSNwwQIuBbPVS8t7LI3oNugl4eEMpvCgHqt7G04xSIwEf6qB5GbrKR7xiibxhgOYKbz1hK+zbcYQjkxD52c1GS4R6mZ+9ZpvrZaPYzUbKii31mLt25769MafCv5VHEF/iKGkYoMVAmP2gUfFZU91oa75I56B5ONmHTlntfrvuN5uRP91sGKk6/4kJqGva2WL69lHzfVh7dLGI0z4eq3hggOZCVE7uKD8wc3GT7IL2gxbT42zXtoYWW/N5aiTgesn4c9bNRoAJCVtE7pNEccUALQbC7Actqlh8EZyg++Nzso24sdWVRMinbrFeKcW635RcgQVoIjJERLaIyELLtEdFZImIfCoio0VkX8t3d4nIChFZKiIXBpUuP/BG4E3cntUxS65jdn+PKP9uhRrmx/8iTn8bCRBlwlMkHoLMQXsZwEVp0z4EcKyqHg9gGYC7AEBEvgHgSgDHmMs8KyI9AkxbzLgcLD1BlyEfOsEJI+4KOrgr1OnhdwaaL2NxRuS6Dz0VvElQwgQWoKnqRABb06Z9oKqpWqvTARxi/n0ZgBGq2qyq5QBWADg1qLQ5oap45P2ladMKlBjq1NQaXivAKOcc+cF+8SProLnhJHfPj3OtqbUDfxi9wPFyE5ZVet84EfmmkGNxXg9gpPn3wTACtpQKc1o3InIDgBsA4LDDDgsyfQCAbY2tGDKlvMs0v95QW9rsjaWY7aad714e1UAySr3IU1KKOAudguycpc37Qf7PnApXx2NbY6vnbRdShE+B6InyBUOdCtJIQETuBtAGYFhqUobZMp5Bqvq8qvZV1b69e/cOKomdgnwmBV1xOqqXoKuOagvZijPhAWXw+WcIPLqLSrFeJqEXcUbkUIQ+FmdE9pvIL6HnoInIdQC+B+A83XkFVwA41DLbIQA2hJ22TDLdMP26EXh9MMa1ZVzcUh3Tw2xbGK04i1nYgYMIgxWiJAg1B01ELgJwJ4BLVdXaO+bbAK4Ukd1FpA+AIwDMDDNt2QSZe+K1aCnfG2qhWrYFIco5JHG3i93zMMJ10KJ8qjvqBy3AdCQd7xH28UjFQ2A5aCIyHMA5AA4QkQoA98Fotbk7gA/Nt/bpqnqjqi4SkVEAFsMo+rxFVe1V0ApagDlozW3RGe4m6gpbxJl0we9hMee+hT3Uk8C/B3C7hwuPQUBXDCDJqcACNFX9UYbJL+WYfyCAgUGlxy27uQtu2B5iJ8sDNF/RVGRzFYr5aR1BSWgkMHftds/r2GpzRAWn4pyTfe+bC/PPFBFRP8yvTl1T6CRQzHAkgTwyBUF8EwpfIY94XOv62RVGI4GgG1os3ljreR2Vdc0+pKQ7J+du1IOMKIv6oVu6ua7QSejE8yweGKDlkbF5aQEq/Ra7OOdCRJ39HDQPddCK+BwO/35RxAebKEEYoOUR5XtdlNOWS0yTnVhJ70ak0MIeLD0qv2bYgSnf4ShpGKDlEYWHFwdLj37xRZzZbsXpZbB094vGXpKuQ0oGlkjEAwM0F+52MYwKAcNnrEVTa3usOqq9dsiM2OZU2uW1SKw9AY2Rp6yoCmzdxfooXL99R6jbY91gShoGaC7Mr6gJdXtuc/GidsN6/MNl+Ov7SwqdDEdWVzdiZWVDoZMRCdnOw3/PXpd/2YgHuVe/OCOwdRdrndX2jmjdf2gn/jLxwACNQlVd77Yrg8LdUtqSkEWUg9duNuqa2vIvW9yFnIVOQHHgYbaNJZzxwAAtDhI0WHqHqquHdRT3JSlsB2hZpu8SlSybiAo9B61Ig2HeIuzjsYoHBmgJFsWLUBGdIhi74pZep+w+0LMdB1uNDBJ+DHMJ/eWiiI812cNGAvHAAC0Gst5vYxg5uL0xFLSj2oQ/8ey34nQ3ogVQ3DFD1OqCJhWDDkoaBmhxFsPB0js63OUoRHBXEsNuK85sc8XwPcGVZZvrXS0X9rnbUqRj/L4wqbzQSYiUt+atz/od76fxwAAtBpLUM3gccxMSdPgz8rp7duqgJekcdsrJGZ/03FoKz/3vLM76XRzvw8WIAVqc5RssPaRkONGh7m4OUcwNLDrZGqswpsjJyanLByf5JVc3J+wBJR4YoMVAkp5/ququiNP/pJDJ7rHNlrtjKwfNQXqShkEXFUKuAI3vu/HAAC0GkjTUUxTTRPZkOw/tnJ9FncvGc54KoK0je11EvjTEAwO0OIthtNOh7m4Na7c2+p4Wu5Jef8pu8XG2o7AqISMtrKp01wggn44YXqcUf8xBiz8GaDHgPjyI3lXotu7DHf/+1N+EUCfbRZxeBkuPQYx707A5gayXjQSoENpY0Sz2GKDFWBwvPwVi9/rGRyZ5EbPTnRIi13nHRlfxwAAtBrIVseW7xqJ4DarLIk4Kjt3zxEvuTjHnDDk533l1UBiYuRYPDNAoVHGsjxOH4rn/396Zx8lVlXn/+6uqrt6zdDZCSNIJJGAAE0JIwhYQouwE46sEmAGVwXGAGdDhfQc3RMd5Qd+R8R11XOFFFMGXF0EcxhEZUFQYIECHJDBIWJwJO4SQrZfqqvP+cU91V1eqeu+ue28938+nPnXvqbM8zznn1n3uc865ZyQM1iiI+xDnWGHeCiNsWJeMBmagRYBy97aB/vjDeA06Z38OYWPwHjRjOFh3N8KGeWqjgRloxrgSSQ9apQUYJm/u6hzdDKvZDTYShtDlq3ko2Bg/Ivg3XJWYgRYFyvxnD3SNhfEiHO5OAsbYMR4etLi/qqQ/rL8bYcN6ZDQwAy3CDLhIIIyXYQSHOKvZuDBGTtT6u1EFWKeMBGagRYA4DXvYEGd0GdEigdETI3JEsc8b8cZWcUYDM9AiTDSHOEPp16tqBr+TQDWbWcMnjNehUd3Yv3A0MAMtAsRphC2KT25xqv9S2E4CY0sEu7wRc+yhIRqYgRZhBnzNRggvQkc45TIGZkSLBKrY+2b93Qgb1iWjgRloESBOt7ZgJ4Go/T3EqQX2ZtCrOONdDWPI4Pu71bExHthDQzQwAy3GhNEQsgnT4WPwOwmMYKunKjY8htLlq7iaYk8iRI0bxnuDsTdmoEWAcje3KNo6zhE5/3o1GxejRTVX4VC6u73SJb4kQtS2Ubx3VCNmoEWYgZ6CwngRBi+qNcJEGPtJnLC9OA0I14Oe9cloYAZaBIjTBOux+GMY9S2NiohP7ZfGVnGOLXYrNCBc3tFnXttVaRFCx2W3PlFpEfbCDLQIELchTnt6iyZxelAYT4Y0B82qOLaEaQ7aA394o9IihI6ftb1caRH2wgw0Y1yJ4iKBuN80x2cVZ8wrsR+G0ufNCI4v1rbGUDEDLQKU9aANkC6MtlDOuVDKVd0MdieB4RN3I3e0sHqKL2HyoBnRwAy0CBPFzdIjuIjTnnyNEWGv2TAgXKs4jWhgBlokKH1hR3G4MIIix96rMR5DnDGvwn4J44OSUQGq+SIwhoUZaDEmjMbQC2/u5vrfvVBpMYwC3trdNah4I/EkhmkF23jz+y1vDTru98fx2mi98u5xK8uAnR3dlRbBGICLblpfaRH6YAZaBCh3b8tFcefxCFLFtkUfrB4MIx6cs3z2mOTbOqWBUw/dZ0zyHgwnH7wPLY1pFs+exLkr5gAwa1L9oNLOmlTPe981YyzFGzKpSgtgDJ+B7DMz34ywEMXheMMoxWmHzuSb5y3lZ20vcdmtbXv9/uK1pwH9eyg3XPU+Fn/xnj5pzv7OQzz8wjZ+fNEKsjnHn17/yKjJvGrhtJ5Xa+Tlu2btu/vEufzWJ7iz7WWu+9Bi1i7dD4CXt7dz1LX3AXD1GYu4+udPcf6Rc/nimkP44UMv8rmfbeZPVs7hS2cduleZhfrnyxxv/uf795YrSpgHLQKUc1zYTW98sEUCASMZpuzIZEdREsOoHPXpJDD6w/bt/hppTKdGfXpKo5e5P+rTgb9md1fvtVooRj68IW1+nfHCDLQIM9ALX+2FsEZYaO8yA82IB3ljZySvzSi1cGR3ZzBHrWEQxtRgqU0lfJ4DG1V5vdq7eufKdXXneo7z1/BgjD1jdDADrR+6unNc84unKy0GNz/8nyXD//G+Lf2mO/d7D4+FOFXH3RtfqbQIoeDRF7YNO+2Dzw1+orxhhJmG2sDYGclrMwoNn/qawODZk/dQ1ZY3poZqvOXjN9YOnC5f7u7O3oepvNEIsNsbbv3JZ4wuZqD1Q3smy00P/bHSYgybdhtWMkaRf9386rDT3rUhfNuoGMZwOG7hNAAO2qcZgOXzWoaUfuX8lj5GzkeObgXgA37eV0tDmvnTGnviFvLho1qZMaEWgP92+H40D2As/eUJCwBY7Se/n3Rw+UnwqxZMBWBFgT7TfVkAxxzQ9/eDZk4AYMnsySXzSycD8+LCY+b1K6NRHkV5GGzZsmVu/fqxWxb7TnuGxV+4Z+CII+C4hdP4jZ+8+esrjuf4v//1mJZXyCOfPpHdXVneM45llmN5awuPvNi/h+ahT53AkdfcN+wy7v3kcay+7jfDTj8U1i6dxY72DPc+/XpP2QnBCV/tW/4Zi/flkvfsz/Nv7Obimx/v89uvPrGKdCpBQuLYr9zfE95cl+JHF65gzTd/D8AB05vY8vouPnf6Ig6fO5mm2hTgSCeTvNOeoaE2SVd3DglO/tpve/J55NMn8uauLv7P71/gtse2csbiffnzVfNpSCdpqkuxs6Obru4c9TVJurLBdyabY2dHd0/Z935yFSCyOUd3LkddTZJ0MsGbuzqpTSVprE3iHCQTQZyO7iyNfrgl5xztmSzOQTbnaEgnqU8nEaKzO8vuzizJhKhNJejszpHJ5kgmRDIhnIPJjTV0ZnJ0dmdJJ5NIwVy32lQSh0OIrmzgqcjmHPU1QX3U1iTo6g7yqq9JknOOPV1BWQmJupoEtakke7q6e7wkUuDp2NGRISGxbXcXyYSYUF+DgKbaFLu7sqRTCToyWTLZHBPra0hKvL0nQzIReFyyOUdXNkdNMkFCMLE+TWd3bx1IQbycc0xpqqU7m+Pl7R1MaUqTyeZwLvhfaqxN0ZhOsqcrixTMk9y2p4uJ9TUAJCV2dmbo6s7RWJuiI5OlIZ0knUyyvT2QvSaZoL4myRu7OklITKyvoSMT6FCTSNCeyVJXk+Ct3V1Mqq+hO+f8sJ6YUJeiI5OjJiW6unMkJDoyWWqSCTq6s7Q0pJHEnq5ucg7SqQTOOToyWbbtzjC7pT7omzUpdnZmmN3SwDt7MkDgqQn27IWWxjTvtGdIJUUqIYR4pz0TtF06SUcmS11NkqREJpdjalMtO9oz7OnKsrurm8kNaXa0Z2iuS1GTTPD2ni6mNtXSmE5RWxNcWw5HR1eOxtokr7zTwbTmWpyDmqTY3ZkllVRPP0gkoDbV643q6s5Rkwz6WVd30P9rvGGSyeZIKvgtlRDOx6+rSZJMBH083y8l4Zwjk3Wk/bBk0K+Dvr+jI0NTbcr31yDvdDKB8/XVkckyoa4GKWh7gK5sjoZ0is7u4JrIy5PoZ2w2H7eQdt+v8zIX/r6rs9v/3+xNNufIZHPUphJV/ZqdYiQ95pxbNpi45qusMAtnNPUYaK1TG8et3FRCTJ9QN27lAUxpTJd959aifScMaKDNnDi45dLlOGB605DiT21K8+auwb0jDPrqt2T2JP741p4Byz5q/ykctM8EpjcHbTG5oYa3/Y1qwYzmkmlmTqzjQP/0nk4lmNwQ3JQP2XcCS2ZPGrS80yfUMX1CHVOagqfkg/Zp5pBZE3t/L10877RnCvQqHWl2S8Og5YgS+Wtm/rShpxkukxrSfc7LvSBhzpTB1fkc+sYbqK3mThnJ/1Jt2V+Kr+cJdTUl4+0zcWj1lzdSS1FO17zRUfz7xIb+B5nyxlRtKrmXYZM31OoSyb3CCsvMI4l0Snv9XleTpK6mN25SkCzIc0JdTcm6SyV7ZSsuuxzFMkHvoohSv5czzgD/MGXz1UbCmA1xSrpB0uuSNhWEfVDSZkk5ScuK4n9K0hZJz0g6aazkChv1FVoR09KYHjjSKNPfC1EHM0di/Bn+U19DOkUmmxswXrmb0lDIz11pHObckD1+bslQJ/8mbXNBwzCMMWMs56DdCJxcFLYJWAs8UBgoaRGwDjjYp/knSRW/Y4/H8G99TWXU7O/JpxLEbel2Qzo5KAOtYRQM057JxcNcXZWfFDzYyb/562I0V5sZhmEYfRkzA8059wCwrSjsaefcMyWirwFudc51OudeALYAy8dKtsHS2T3wDXakVOom11QXLoMobAYjQDo5fA9RfTo5qP7TOAqGad4QHK6Rm08/WFk6MkH80fD+GYZhGKUJyyrOWcB/FZxv9WF7IeljktZLWv/GG2+MqVDTm2v52Kr5fcIWzuidS3TG4n3Lpj12wVTmT23kjouP4voLlvGlsw7ZKy+As4+YzV+duICfX3oMAB88fL+S+R1/4DQuOHJuz/nUpjTLW1s44aDpA+px5yVH8/3zl/GFMw9mnp/n9s1zl/b8vrpge4ulc/rOYfryB/q+iTm/MmfNkvK65+UtXr0TTCgPeO+i3jLPWT6npx5ai+bRfO3sJRy0TzMfPqoVgB9eGNjt05r7zm05z2/rAbDuiGCWzjVrD+1Z8bS8NVh5tHxeC9N92j9fNZ+vfnAx562Yw6qFvZOKTn/3TFbOb+HHF63kpINncMGRc3nwyhN6fv/imoP7yJ7yQ33f8HV63oo5HHvAVK46HpvzFAAADZtJREFUfREAd116dE/8/37Sgdz+F0fyt2cdQjIhDp8brIDKzyPLv5H72rV96/3zZyzixo8cAcBnT1vUMyflyx84lBs+fAQfP27/Hl3745PvXciC6U0sm9u78uqzp72LP1k5p0+b9MeMCcF18YOPVvwZyjAMI7aM6SpOSa3APzvnDikK/zVwhXNuvT//JvCQc+5H/vx64F+cc7f3l/9Yr+I0DMMwDMMYLYayijMsHrSt9F2ctB9gL04yDMMwDKMqCYuBdhewTlKtpHnAAmD0doo1DMMwDMOIEGM2M1vSLcDxwFRJW4HPEywa+DowDbhbUptz7iTn3GZJ/xd4CugGLnHO2WvwDcMwDMOoSsbMQHPOnVPmpzvKxP874O/GSh7DMAzDMIyoEJYhTsMwDMMwDMNjBpphGIZhGEbIMAPNMAzDMAwjZJiBZhiGYRiGETLMQDMMwzAMwwgZZqAZhmEYhmGEDDPQDMMwDMMwQoYZaIZhGIZhGCHDDDTDMAzDMIyQIedcpWUYNpLeAP44illOBd4cxfyiRjXrX826g+lv+pv+pn/1Mp76z3XOTRtMxEgbaKONpPXOuWWVlqNSVLP+1aw7mP6mv+lv+pv+lZajGBviNAzDMAzDCBlmoBmGYRiGYYQMM9D68t1KC1Bhqln/atYdTH/Tv7ox/aubUOpvc9AMwzAMwzBChnnQDMMwDMMwQoYZaICkkyU9I2mLpCsrLc9YIGm2pPslPS1ps6TLfPjVkl6S1OY/pxak+ZSvk2cknVQ56UcHSS9K2uj1XO/DWiT9StKz/ntyQfzY6C/pwII2bpO0Q9LlcW5/STdIel3SpoKwIbe3pMN9v9ki6R8labx1GQ5l9P9fkv5D0pOS7pA0yYe3Smov6AffLkgTJ/2H3N9jpv9PCnR/UVKbD49V+/dzv4vW9e+cq+oPkASeA+YDaWADsKjSco2BnjOBpf64GfgDsAi4GriiRPxFvi5qgXm+jpKV1mOEdfAiMLUo7CvAlf74SuDLcdW/QOck8CowN87tD6wClgKbRtLewCPAkYCAXwCnVFq3Eej/PiDlj79coH9rYbyifOKk/5D7e5z0L/r9q8BVcWx/yt/vInX9mwcNlgNbnHPPO+e6gFuBNRWWadRxzr3inHvcH+8EngZm9ZNkDXCrc67TOfcCsIWgruLGGuAH/vgHwFkF4XHV/0TgOedcfy95jrz+zrkHgG1FwUNqb0kzgQnOuYdc8G99U0GaUFNKf+fcPc65bn/678B+/eURN/37oSraP4/3An0IuKW/PKKqfz/3u0hd/2agBY32XwXnW+nfcIk8klqBw4CHfdClfsjjhgKXbxzrxQH3SHpM0sd82Azn3CsQXNTAdB8eR/3zrKPvH3O1tD8Mvb1n+ePi8DjwUQKPQJ55kp6Q9BtJx/qwOOo/lP4eR/0BjgVec849WxAWy/Yvut9F6vo3Ay1wWxYT26WtkpqA24HLnXM7gG8B+wNLgFcI3N4Qz3o52jm3FDgFuETSqn7ixlF/JKWBM4HbfFA1tX9/lNM3lvUg6TNAN3CzD3oFmOOcOwz4JPBjSROIn/5D7e9x0z/POfR9SItl+5e435WNWiKs4u1vBlpgEc8uON8PeLlCsowpkmoIOuvNzrmfAjjnXnPOZZ1zOeB79A5jxa5enHMv++/XgTsIdH3Nu7Hz7vzXffTY6e85BXjcOfcaVFf7e4ba3lvpOwwY+XqQdAFwOnCeH7bBD+285Y8fI5iDs5CY6T+M/h4r/QEkpYC1wE/yYXFs/1L3OyJ2/ZuBBo8CCyTN896FdcBdFZZp1PFzDq4HnnbOXVcQPrMg2vuB/Iqfu4B1kmolzQMWEEyWjCSSGiU1548JJktvItDzAh/tAuBn/jhW+hfQ58m5Wtq/gCG1tx8G2Slppb+Gzi9IEzkknQz8DXCmc25PQfg0SUl/PJ9A/+djqP+Q+nvc9PesBv7DOdczdBe39i93vyNq1/94rUYI8wc4lWCVx3PAZyotzxjpeAyBa/ZJoM1/TgV+CGz04XcBMwvSfMbXyTNEYOXOAPrPJ1ilswHYnG9nYArwb8Cz/rsljvp7fRqAt4CJBWGxbX8CQ/QVIEPwJHzhcNobWEZwI38O+Ab+Bd9h/5TRfwvBXJv8f8C3fdwP+OtiA/A4cEZM9R9yf4+T/j78RuDjRXFj1f6Uv99F6vq3nQQMwzAMwzBChg1xGoZhGIZhhAwz0AzDMAzDMEKGGWiGYRiGYRghwww0wzAMwzCMkGEGmmEYhmEYRsgwA80wIoakKZLa/OdVSS8VnKfLpPmlpGZJKUnbfdgBktpGIMeXJF0+3PRxRlJC0v3+TebjXe6Vw40n6XpJKyT9TtKSIZS7VtJBg4h3uaQ/HWy+hlHNmIFmGBHDOfeWc26Jc24J8G3gH/LnzrmuMmlOcsGmwcb4cAaw3jm3a5zLTQADGmj9xFtG8PLuobIWGNBAA74PfGIY+RtG1WEGmmHECEk/95vBb5b0ZwXhWyVN6iddStJ1kh7xG0n/WZl4V0l6RtKvCN62nQ9f4L10j0l6QNJCH75O0iZJGyTdXyK/1d7T9P8kPeu9cudLetTL0erjzZD0U0nrvYwrffgJPu82SY/7HSNmeQ9Qmy/7KB/3uz79ZklXFchwptfpt5K+LulOH94k6UZf3hOSzvDhh3r52ryM80tU1XkUvHFc0gU+nzZJ/+Q9WClJ2yVd63V4SNL04owkTZV0ly/rQUmH+PBmST+QtNH/dhZwLdDsy7mpXNll4h0KbHbBNkgAH/YybZS0TFJS0hZJLT5+UtLzko4jeAnoP/j8Wsv1B2+wviRpaan+ZRhGAZV+46997GOf4X+Aq4ErCs5b/HcD8BQw2Z9vBSYBKWC7DzsAaPPHFwNX+uNa4AmCzZMLy1pO8KbxemAi8ALBJsQA9wP7++OjgXv88dPADH88qYT8q4FtwAygDngVuMr/9tfA3/vjnwAr/XErsMkf/wJY4Y+bgCTBVkZ/48OSQFNR3aSA3wKLfD1tBeYSbIx8G3Cnj/cVYJ0/nkyw20gdwYbbZxfUVV0JvV4CGvzxIcCdQMqffxc418vh8G8tB67Lt0FRXt+id+eL9xF45iDY6DtfP/Iy9rTvIMreXlTO/wDO98e/A77lj08o6Cd/C1zqj08FfuKPfwScVZBXyf7gzz8PXFbpa8c+9gn7J4VhGHHiE5LO9Mf7AfsD6weR7n3AuySt8+cTCTxk/1kQZxVwu3OuHWiX9HMA75lbCdwuKR83/9/ye+AmSbcBP6U0Dzu/ebuk54Ff+vCNwJH+eDVwYEH+kyXV+/y/JunHXrZdkh4FviOpjsDY2uDTnCPpQi/bvvQaaM845/7oy7+FYL+9fJ2cot65WnXAHOBB4LOS5gI/dc5tKaFTs+vd63I1cASw3stfT7DdEkC7c+4X/vgx4NgSeR0DnAbgnLvHe/Uafb5n+XAHvK1gI+xC+iu7mJMIjLc8t/i875M0XcF8uusJjNhvAB8lGLLswwD9AYINqlvLyGAYhscMNMOICZJWExhRK51z7ZJ+R2BUDCo5cLFz7t8GiFdqbzgBb7pgTlwxFwErgNOBDZLe7Zx7uyhOZ8FxruA8R+9/lIDlbu85dl+SdBeBAfOopOO9QXG8D7tZ0jUEG71f5vPYLulHBHUjyiMCr9BzReF/kPSQz/9Xki5wzj1QFCdXcCzgBufc5/pkHhhThfpkKf2fXCyjCr4H2quvv7ILz5uA+ryh7CnO2znnXpT0tqT3AIcB95Qps1x/gKDe2weQ2zCqHpuDZhjxYSKwzRtnBxN4TgbLL4GL8zduSQd6D1UhDwBrJdVJmkBgdOENrlckvd+nTUha7NPMd879O/A54G1g1jB1uxe4JH8iv8JQ0v7OuSedc9cQDMse6D1brzrnvkuwMfRhwARgJ7BD0kwCbxEEG0QfKGm2AnfP2UV18lcFZR7mv+c757Y45/43cDfw7hLybpGfP+dl/5CkqT79FElzhqD7AwRz2vJG+Fbn3G4C4+hSHy5Jk51z3f48b4CVLLtEvBOB+4rKPdvHOR54zZcJgRftZuBW1ztfbSfQDAP2B4CFBJtPG4bRD2agGUZ8uBtokLQBuAp4eAhpvwM8C7RJ2kQw76mPl8U59whwB8E8tNsIDIc864CP+7I34403gonjGwmGK+91zg33xnwJcLSfDP8UgWcO4AoFCwGeBLYTGC0nEnjrngDWAF8HHieYk7cJ+B7B0Ch+GPJSAkPmt8DLwDs+7y8Q1OdGSZsJ5vsBnKtgoUEbMJ9g/lUxdwPH+zI2+rzu9XLeQzDnbrBcBRzl034R+EiBfDN8e7XROzx6PfCkpJsGKLsnHnAK8K9F5e6Q9CBB/V1UEH4HwcPAjQVhtwCfzi8SoHx/gGDYeiBPrWFUPQqmLhiGYVQnkpr83DURGKobnXNfH2Ge+wHfd86dPCpCjjHe2FyW96wNEHclcI1z7j3DKOcIgqH0jwwY2TCqHPOgGYZR7fyFN1CeIphE/72RZuic2wrcqHF+Ue1wccE79AZjnH2GYEXtp4dZVAvBKk7DMAbAPGiGYRiGYRghwzxohmEYhmEYIcMMNMMwDMMwjJBhBpphGIZhGEbIMAPNMAzDMAwjZJiBZhiGYRiGETLMQDMMwzAMwwgZ/x9KeJe8au8faQAAAABJRU5ErkJggg==\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(10, 6))\n", + "plt.plot(sizes2_sorted, times_ms2_sorted, label='stackoverflow')\n", + "plt.title('Temps de transmission en fonction de la taille des messages')\n", + "plt.xlabel('Taille des messages (en octet/byte)')\n", + "plt.ylabel('Temps d\\'envoi (en ms)')\n", + "plt.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Affichage des regression linéaire pour chacune des deux classes (jusqu'à 1500 octets et à partir de 1500 octets),\n", + "on affiche ensuite la latence et la capacité sous les graphiques." + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Latence (L): 0.113 secondes\n", + "Capacité (C): 3945 octets/seconde\n" + ] + } + ], + "source": [ + "def indice(tab, val):\n", + " for i in range(len(tab)):\n", + " if tab[i]>=val:\n", + " return i\n", + " return None\n", + "\n", + "\n", + "\n", + "indice2=indice(sizes2_sorted,1500)\n", + "sizes2_sorted_upto1500=sizes2_sorted[:indice2-1]\n", + "sizes2_sorted_startingfrom1500=sizes2_sorted[indice2:]\n", + "\n", + "times_ms2_sorted_upto1500=times_ms2_sorted[:indice2-1]\n", + "times_ms2_sorted_startingfrom1500=times_ms2_sorted[indice2:]\n", + "\n", + "\n", + "\n", + "x = np.array(sizes2_sorted_upto1500, dtype=float)\n", + "y = np.array(times_ms2_sorted_upto1500)\n", + "\n", + "slope, intercept, r_value, p_value, std_err = linregress(x, y)\n", + "\n", + "fit_line = slope * x + intercept\n", + "\n", + "plt.figure(figsize=(10, 6))\n", + "plt.plot(x, y, 'o', label='Données observées')\n", + "plt.plot(x, fit_line, 'r-', label=f'Régression linéaire\\n$y = {slope:.2f}x + {intercept:.2f}$')\n", + "plt.title('Régression linéaire des temps de transmission en fonction de la taille des messages, jusqu\\'à 1500 octets')\n", + "plt.xlabel('Taille des messages (en octet/byte)')\n", + "plt.ylabel('Temps d\\'envoi (en ms)')\n", + "plt.legend()\n", + "plt.show()\n", + "\n", + "L=intercept/1000\n", + "C= 1/slope\n", + "print(f'Latence (L): {L:.3f} secondes')\n", + "print(f'Capacité (C): {C:.0f} octets/seconde')\n" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Latence (L): 0.120 secondes\n", + "Capacité (C): 543 octets/seconde\n" + ] + } + ], + "source": [ + "x = np.array(sizes2_sorted_startingfrom1500, dtype=float)\n", + "y = np.array(times_ms2_sorted_startingfrom1500)\n", + "\n", + "slope, intercept, r_value, p_value, std_err = linregress(x, y)\n", + "\n", + "fit_line = slope * x + intercept\n", + "\n", + "plt.figure(figsize=(10, 6))\n", + "plt.plot(x, y, 'o', label='Données observées')\n", + "plt.plot(x, fit_line, 'r-', label=f'Régression linéaire\\n$y = {slope:.2f}x + {intercept:.2f}$')\n", + "plt.title('Régression linéaire des temps de transmission en fonction de la taille des messages, à partir de 1500 octets')\n", + "plt.xlabel('Taille des messages (en octet/byte)')\n", + "plt.ylabel('Temps d\\'envoi (en ms)')\n", + "plt.legend()\n", + "plt.show()\n", + "\n", + "L=intercept/1000\n", + "C= 1/abs(slope)\n", + "print(f'Latence (L): {L:.3f} secondes')\n", + "print(f'Capacité (C): {C:.0f} octets/seconde')" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.6.4" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/module3/exo3/exercice.ipynb b/module3/exo3/exercice.ipynb deleted file mode 100644 index 0bbbe37..0000000 --- a/module3/exo3/exercice.ipynb +++ /dev/null @@ -1,25 +0,0 @@ -{ - "cells": [], - "metadata": { - "kernelspec": { - "display_name": "Python 3", - "language": "python", - "name": "python3" - }, - 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