diff --git a/module3/exo1/fichiervaricelle.txt b/module3/exo1/fichiervaricelle.txt new file mode 100644 index 0000000000000000000000000000000000000000..ffe60d0d6de1ab9c762e76c8460554455459027f --- /dev/null +++ b/module3/exo1/fichiervaricelle.txt @@ -0,0 +1,1790 @@ +# {"source":"réseau Sentinelles, INSERM, Sorbonne Université, https:\/\/www.sentiweb.fr","meta":{"period":[199049,202510],"geo":["PAY",0],"geo_ref":"insee","indicator":"7","type":"all","conf_int":true,"compact":false,"age_group":false,"span":"all"},"date":"2025-03-12T14:55:38+01:00","bundle":"1741787724"} +week,indicator,inc,inc_low,inc_up,inc100,inc100_low,inc100_up,geo_insee,geo_name +202510,7,3153,1388,4918,5,2,8,FR,France +202509,7,3386,1470,5302,5,2,8,FR,France +202508,7,2835,1286,4384,4,2,6,FR,France +202507,7,4502,2382,6622,7,4,10,FR,France +202506,7,3455,1958,4952,5,3,7,FR,France +202505,7,2087,1056,3118,3,1,5,FR,France +202504,7,6895,4466,9324,10,6,14,FR,France +202503,7,2462,1161,3763,4,2,6,FR,France 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plt\n", + "import pandas as pd\n", + "import isoweek" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "hideCode": false, + "hidePrompt": false + }, + "source": [ + "Les données de l'incidence de la varicelle sont disponibles du site Web du [Réseau Sentinelles](http://www.sentiweb.fr/). Nous les récupérons sous forme d'un fichier en format CSV dont chaque ligne correspond à une semaine de la période demandée. Nous téléchargeons toujours le jeu de données complet, qui commence en 1991 et se termine avec une semaine récente." + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": { + "hideCode": false, + "hidePrompt": false + }, + "outputs": [], + "source": [ + "data_url = \"http://www.sentiweb.fr/datasets/all/inc-7-PAY.csv\"" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "hideCode": false, + "hidePrompt": false + }, + "source": [ + "Voici l'explication des colonnes données [sur le site d'origine](https://ns.sentiweb.fr/incidence/json-schema-v1.json):\n", + "\n", + "| Nom de colonne | Libellé de colonne |\n", + "|----------------|-----------------------------------------------------------------------------------------------------------------------------------|\n", + "| week | Semaine calendaire (ISO 8601) |\n", + "| indicator | Code de l'indicateur de surveillance |\n", + "| inc | Estimation de l'incidence de consultations en nombre de cas |\n", + "| inc_low | Estimation de la borne inférieure de l'IC95% du nombre de cas de consultation |\n", + "| inc_up | Estimation de la borne supérieure de l'IC95% du nombre de cas de consultation |\n", + "| inc100 | Estimation du taux d'incidence du nombre de cas de consultation (en cas pour 100,000 habitants) |\n", + "| inc100_low | Estimation de la borne inférieure de l'IC95% du taux d'incidence du nombre de cas de consultation (en cas pour 100,000 habitants) |\n", + "| inc100_up | Estimation de la borne supérieure de l'IC95% du taux d'incidence du nombre de cas de consultation (en cas pour 100,000 habitants) |\n", + "| geo_insee | Code de la zone géographique concernée (Code INSEE) http://www.insee.fr/fr/methodes/nomenclatures/cog/ |\n", + "| geo_name | Libellé de la zone géographique (ce libellé peut être modifié sans préavis) |\n", + "\n", + "La première ligne du fichier CSV est un commentaire, que nous ignorons en précisant `skiprows=1`." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "hideCode": false, + "hidePrompt": false + }, + "source": [ + "Téléchargement du fichier en local si il n'est pas déjà présent en local. Cela est là pour limiter le temps d'exécution et continuer à travailler s'il y a un problème sur le serveur." + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": { + "hideCode": false, + "hidePrompt": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Téléchargement du fichier depuis : http://www.sentiweb.fr/datasets/all/inc-7-PAY.csv\n", + "Fichier téléchargé et enregistré : fichiervaricelle.txt\n" + ] + } + ], + "source": [ + "import os\n", + "import requests\n", + "\n", + "def télécharger_fichier_si_nécessaire(url, chemin_local):\n", + " # Vérifier si le fichier existe déjà en local\n", + " if os.path.exists(chemin_local):\n", + " print(f\"Le fichier existe déjà : {chemin_local}\")\n", + " else:\n", + " # Télécharger le fichier depuis l'URL\n", + " print(f\"Téléchargement du fichier depuis : {url}\")\n", + " réponse = requests.get(url)\n", + "\n", + " # Vérifier si la requête a réussi\n", + " if réponse.status_code == 200:\n", + " # Écrire le contenu dans le fichier local\n", + " with open(chemin_local, 'wb') as fichier:\n", + " fichier.write(réponse.content)\n", + " print(f\"Fichier téléchargé et enregistré : {chemin_local}\")\n", + " else:\n", + " print(f\"Échec du téléchargement. Code d'état : {réponse.status_code}\")\n", + "\n", + "chemin_local = 'fichiervaricelle.txt'\n", + "télécharger_fichier_si_nécessaire(data_url, chemin_local)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": { + "hideCode": false, + "hidePrompt": false + }, + "outputs": [ + { + "data": { + "text/html": [ + "
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weekindicatorincinc_lowinc_upinc100inc100_lowinc100_upgeo_inseegeo_name
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17841990527193751329525455342345FRFrance
17851990517190801380724353342543FRFrance
1786199050711079666015498201228FRFrance
17871990497114302610205FRFrance
\n", + "

1788 rows × 10 columns

\n", + "
" + ], + "text/plain": [ + " week indicator inc inc_low inc_up inc100 inc100_low \\\n", + "0 202510 7 3153 1388 4918 5 2 \n", + "1 202509 7 3386 1470 5302 5 2 \n", + "2 202508 7 2835 1286 4384 4 2 \n", + "3 202507 7 4502 2382 6622 7 4 \n", + "4 202506 7 3455 1958 4952 5 3 \n", + "5 202505 7 2087 1056 3118 3 1 \n", + "6 202504 7 6895 4466 9324 10 6 \n", + "7 202503 7 2462 1161 3763 4 2 \n", + "8 202502 7 5966 2757 9175 9 4 \n", + "9 202501 7 6059 2451 9667 9 4 \n", + "10 202452 7 4356 1776 6936 7 3 \n", + "11 202451 7 4670 2239 7101 7 3 \n", + "12 202450 7 7363 4438 10288 11 7 \n", + "13 202449 7 6077 3631 8523 9 5 \n", + "14 202448 7 4189 1454 6924 6 2 \n", + "15 202447 7 1931 726 3136 3 1 \n", + "16 202446 7 2260 863 3657 3 1 \n", + "17 202445 7 2713 1216 4210 4 2 \n", + "18 202444 7 2135 676 3594 3 1 \n", + "19 202443 7 2124 641 3607 3 1 \n", + "20 202442 7 2621 1246 3996 4 2 \n", + "21 202441 7 2035 381 3689 3 1 \n", + "22 202440 7 2125 725 3525 3 1 \n", + "23 202439 7 2898 1333 4463 4 2 \n", + "24 202438 7 751 0 1513 1 0 \n", + "25 202437 7 916 28 1804 1 0 \n", + "26 202436 7 2235 870 3600 3 1 \n", + "27 202435 7 1623 284 2962 2 0 \n", + "28 202434 7 2560 622 4498 4 1 \n", + "29 202433 7 1971 536 3406 3 1 \n", + "... ... ... ... ... ... ... ... \n", + "1758 199126 7 17608 11304 23912 31 20 \n", + "1759 199125 7 16169 10700 21638 28 18 \n", + "1760 199124 7 16171 10071 22271 28 17 \n", + "1761 199123 7 11947 7671 16223 21 13 \n", + "1762 199122 7 15452 9953 20951 27 17 \n", + "1763 199121 7 14903 8975 20831 26 16 \n", + "1764 199120 7 19053 12742 25364 34 23 \n", + "1765 199119 7 16739 11246 22232 29 19 \n", + "1766 199118 7 21385 13882 28888 38 25 \n", + "1767 199117 7 13462 8877 18047 24 16 \n", + "1768 199116 7 14857 10068 19646 26 18 \n", + "1769 199115 7 13975 9781 18169 25 18 \n", + "1770 199114 7 12265 7684 16846 22 14 \n", + "1771 199113 7 9567 6041 13093 17 11 \n", + "1772 199112 7 10864 7331 14397 19 13 \n", + "1773 199111 7 15574 11184 19964 27 19 \n", + "1774 199110 7 16643 11372 21914 29 20 \n", + "1775 199109 7 13741 8780 18702 24 15 \n", + "1776 199108 7 13289 8813 17765 23 15 \n", + "1777 199107 7 12337 8077 16597 22 15 \n", + "1778 199106 7 10877 7013 14741 19 12 \n", + "1779 199105 7 10442 6544 14340 18 11 \n", + "1780 199104 7 7913 4563 11263 14 8 \n", + "1781 199103 7 15387 10484 20290 27 18 \n", + "1782 199102 7 16277 11046 21508 29 20 \n", + "1783 199101 7 15565 10271 20859 27 18 \n", + "1784 199052 7 19375 13295 25455 34 23 \n", + "1785 199051 7 19080 13807 24353 34 25 \n", + "1786 199050 7 11079 6660 15498 20 12 \n", + "1787 199049 7 1143 0 2610 2 0 \n", + "\n", + " inc100_up geo_insee geo_name \n", + "0 8 FR France \n", + "1 8 FR France \n", + "2 6 FR France \n", + "3 10 FR France \n", + "4 7 FR France \n", + "5 5 FR France \n", + "6 14 FR France \n", + "7 6 FR France \n", + "8 14 FR France \n", + "9 14 FR France \n", + "10 11 FR France \n", + "11 11 FR France \n", + "12 15 FR France \n", + "13 13 FR France \n", + "14 10 FR France \n", + "15 5 FR France \n", + "16 5 FR France \n", + "17 6 FR France \n", + "18 5 FR France \n", + "19 5 FR France \n", + "20 6 FR France \n", + "21 5 FR France \n", + "22 5 FR France \n", + "23 6 FR France \n", + "24 2 FR France \n", + "25 2 FR France \n", + "26 5 FR France \n", + "27 4 FR France \n", + "28 7 FR France \n", + "29 5 FR France \n", + "... ... ... ... \n", + "1758 42 FR France \n", + "1759 38 FR France \n", + "1760 39 FR France \n", + "1761 29 FR France \n", + "1762 37 FR France \n", + "1763 36 FR France \n", + "1764 45 FR France \n", + "1765 39 FR France \n", + "1766 51 FR France \n", + "1767 32 FR France \n", + "1768 34 FR France \n", + "1769 32 FR France \n", + "1770 30 FR France \n", + "1771 23 FR France \n", + "1772 25 FR France \n", + "1773 35 FR France \n", + "1774 38 FR France \n", + "1775 33 FR France \n", + "1776 31 FR France \n", + "1777 29 FR France \n", + "1778 26 FR France \n", + "1779 25 FR France \n", + "1780 20 FR France \n", + "1781 36 FR France \n", + "1782 38 FR France \n", + "1783 36 FR France \n", + "1784 45 FR France \n", + "1785 43 FR France \n", + "1786 28 FR France \n", + "1787 5 FR France \n", + "\n", + "[1788 rows x 10 columns]" + ] + }, + "execution_count": 17, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "data = raw_data.dropna().copy()\n", + "data" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "hideCode": false, + "hidePrompt": false + }, + "source": [ + "Nos données utilisent une convention inhabituelle: le numéro de\n", + "semaine est collé à l'année, donnant l'impression qu'il s'agit\n", + "de nombre entier. C'est comme ça que Pandas les interprète.\n", + " \n", + "Un deuxième problème est que Pandas ne comprend pas les numéros de\n", + "semaine. Il faut lui fournir les dates de début et de fin de\n", + "semaine. Nous utilisons pour cela la bibliothèque `isoweek`.\n", + "\n", + "Comme la conversion des semaines est devenu assez complexe, nous\n", + "écrivons une petite fonction Python pour cela. Ensuite, nous\n", + "l'appliquons à tous les points de nos donnés. Les résultats vont\n", + "dans une nouvelle colonne 'period'." + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": { + "hideCode": false, + "hidePrompt": false + }, + "outputs": [], + "source": [ + "def convert_week(year_and_week_int):\n", + " year_and_week_str = str(year_and_week_int)\n", + " year = int(year_and_week_str[:4])\n", + " week = int(year_and_week_str[4:])\n", + " w = isoweek.Week(year, week)\n", + " return pd.Period(w.day(0), 'W')\n", + "\n", + "data['period'] = [convert_week(yw) for yw in data['week']]" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "hideCode": false, + "hidePrompt": false + }, + "source": [ + "Il restent deux petites modifications à faire.\n", + "\n", + "Premièrement, nous définissons les périodes d'observation\n", + "comme nouvel index de notre jeux de données. Ceci en fait\n", + "une suite chronologique, ce qui sera pratique par la suite.\n", + "\n", + "Deuxièmement, nous trions les points par période, dans\n", + "le sens chronologique." + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": { + "hideCode": false, + "hidePrompt": false + }, + "outputs": [], + "source": [ + "sorted_data = data.set_index('period').sort_index()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "hideCode": false, + "hidePrompt": false + }, + "source": [ + "Nous vérifions la cohérence des données. Entre la fin d'une période et\n", + "le début de la période qui suit, la différence temporelle doit être\n", + "zéro, ou au moins très faible. Nous laissons une \"marge d'erreur\"\n", + "d'une seconde.\n", + "\n", + "Ceci s'avère tout à fait juste sauf pour deux périodes consécutives\n", + "entre lesquelles il manque une semaine.\n", + "\n", + "Nous reconnaissons ces dates: c'est la semaine sans observations\n", + "que nous avions supprimées !" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": { + "hideCode": false, + "hidePrompt": false + }, + "outputs": [], + "source": [ + "periods = sorted_data.index\n", + "for p1, p2 in zip(periods[:-1], periods[1:]):\n", + " delta = p2.to_timestamp() - p1.end_time\n", + " if delta > pd.Timedelta('1s'):\n", + " print(p1, p2)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "hideCode": false, + "hidePrompt": false + }, + "source": [ + "Un premier regard sur les données !" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": { + "hideCode": false, + "hidePrompt": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 21, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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gLff/9btfw4sWwlFN9CQDjUpg8brmRAOPzoA3cSCi/gD+BOCbjLEdCERE+wKYBmAtgF/yrIbizJHuKqP24SIimktEczduTLczKxWVjMrKi7rk6F29iXph2Sa8uGxTCSWrw+glPY7rnliKHz60KPotLbK2OnmYorJ6loR0L/LW599NzoTyrJVqxXNcP0Cra/pRi1i1dTdOu/ZZXGnxn+lMeBEHIqpHQBj+wBj7MwAwxtYzxgqMsSKAmwHMCLOvAjBWKD4GwJowfYwhXSpDRHUABgHYovaDMXYTY2w6Y2z6iBEj/O6wTFTWzyGAS1TS1buoz98yB+feMic5Y4lIaxqc9Di27m6Xfm9sjp3xkspW80mnfY3/9be3kzMByFXAljWpa79/4T3sTIj/VMn2u3rM1xK27grG89wVW7u4J37WSgTgVgBvMcZ+JaSPErJ9CgD3gnoIwNmhBdIEBIrnlxljawE0E9GRYZ3nAXhQKHN++P0zAJ5kNeJbrymky6krLOw6h7ozb/uV5Vtw/u9exp5OMCXsrEics9+NxSI28UlnPOFqmbKW40HvG7bix395Ez995K2S23Hhfx5fiiv+vEDpV01M9ZpALR0z7+MEdwyALwJYQETzw7TvAjiHiKYhmGvLAVwMAIyxRUR0H4A3EVg6XcYY46vPpQBuA9AHwCPhHxAQnzuIaBkCjuHs8m4rHRhj+PuidTj5wL1Qn3CCeyVemssCpzPFSt++73W8v2U31mzfg31H9K9qW7G8Oy2qs8gG16v3sMszeHZZK5Vfr0/fWtqrI+u55vElWlpXi1IzmJFIHBhjz8Msnv2bo8xVAK4ypM8FMNWQ3gLgrKS+VAuz39mMS+58FRcfNxFXfOxA6ZoW7qGcxQrJ3sSdabnBd7flndPsB9ualryAJ9TrWCztpqy1p5D2RTkK6TR96tuQt17buqsNu9o6MGZI35L7IiLzc9BRC08k85AG0NIRMDaLDQezaOO2Am/NFWm0M3dRcSBAe56Nza146u0NndMhA0xd8z5DOkGsVE1r6UqIH00op8vxZiA5b596O3E45uoncezVT5XeEQWZWClGLZ0WmREHAP0b6wEAzS3JSrhqTfq4/s4fFC75+Dk3v4Qv3fZKSecSmJCWEyvLOqwrxUplnBPtQlmcQ4q8LsK5u8I6qkqNrZ6AWorKnBEHAPX54IV0COKe8Zc/jG/c81qn96UzNwx8ILr8zN7ZuBNA8mKX7ARX2qCvBrHsjGdcShv8+FJX0XI4hxrYjBpRq/0qBdOvfAy/KeFQK47acP0NkBEH2MUMD85fYzBlLaMdj7Kdadbnd75EAFOO5pZ23Pysn30+hyalq+Ltdqkpawm18x20ixCX9bxSlO1MDrYH0QZs2tmGnz7iZ5ZsQi0dJZwRB8ST0US1dbv80l7a8k27MH/ltsR8ncVhP/HWeqzYvDtsM7lRU5af/OVNb3vsiMikvL/ynA5tGunS6/RuuxTOwePUu6Qcjy5ciw3NLZayXb/gmFAD62DNoJbEStl5Dog9NE3y3NVb90i/Sx3IJ/ziaa98nbVjuEnY8ZsIUrHIsHrbHiGPnmn7nnYtzYoSx3zS03BV25XhM0oBF2uW2ruW9gIuufNVTB7ZH49963jteqqh1YmPqBaUr7WGWngkGeeAeOEzLTSqt3C131lXTBTTwv+/Ty3Dh3/2lJOTKU0+mu7+OsPMtho4ZtJwAMBRE/1DhPkoZl3Pg7/HVcqGJirr3RM7fDYE59z0Eh56fU1iPo4aWAdrBqX7A1UeGXFAPKl8LEFKWaxufNpfQZUyCGlFYLqnl97brORx1/FkgrlrqX4Of31jrTuDA115EhwfS6MGNXmXaY90DvY85VnLmUuv3a4TE1s7J/w82YR19rub8fW7/Y05akG+XiuoHaFSRhwACAuyx5spZRhf/ai/gqqzponYjmnDqso+kyZwNcwRb3nuXTz25vqK11uNBVYFf+dprLQKXOfgaqIsHYyOJ99ej6P++0k87njO989bhfGXP4wtu9q0WFZaGyUs9D2RNmzZ1VZW+VoQtWXEASLn4JG5yu+sK3ZRPvb15faKL5L6+Rj2mq982Bzfx3e9TepzZzzqNKK3dg+20fS8WtoL2CosRlbnP0PyG6u2B5+rt1vbvOOlFQCAFZt3JfZP3CR894EFjpxCv7xy1T7EBf23z5ZmzpqJlWoMhUjn0PVMXaftGIRmTOEL1EWt3H7x6irBYPh2pRrhM9IWTRMLKTJlTbk0fOGWOTj0Px9LzNfS7nBeU50Txd+WmzZtKsSku+a8n9gnra1uDPHed6Qx1pDQ9WsQR0Yc4DZl1fJWmaZ3limreB9+/hd6WinEtHMthSrfVjV773PAi+ldqebEtvfy478s0tLSvENVRGbidErhfHsIbVCIXKmLvIdosZOQEQfEOgcfhfSPHqruIRxdIlYycg4q61BeG7ZQxKXcrti1kgLvpW/SCdfOt7WjiB0tfrvIQpUV0jYrJmM7hoa00CeGPKXonkwbhnkrtuDeV/w4j1qBeOulejqz2qENGXEABLGSxwt9f8vuqval0zgHoR0zVyCjUkSrM2mfranyvNz1wmpSa0csvnlw/hp88Ef/8KqbO8E59dGOi0kWYyUTnTRK9ZJiSulpZ944G//+Jz+dhQu72zqwZps/USwH4hwpk2+oCfR64nDmjS/il/9YDKC6UTp9USt+DhVmHOLDflKeBFcOukB9AwD45j3zjfmS4OXn4HhiX71LNh/tKBRx/7xVkW7AVNZ6tndiT8zjppSQ89UUNZ578xwc/dMnq1a/DeUuJbWgh+n1xGHeiq1Ysj4ILtf1pKFr5K+mgag+C6cy0wNdccKV1c+hrDM5dKiL5CML15VUd+QhXaGHdPNz7+Ff//g6/vTqKgBlcKUp/EVKESu5ivzwwYXYVcaRpT4hayoFcRzc+VJpIrFMrFSjqMDxvGWjM3QOG5tbJSWmia1XuahL7pxnyJO+bV3nUL37rUbNb6zSFxvxFnz1Cyb49DfN49q0MzhPm3s1u8aWjy5IHROm2koRK7mKzJq9Ajc/ly64Y1ehEkM5Oq2vBqhDRhwE1IJYyWfjtaG5BTOvfRbjL38YG5tbjXl2tnbg/c1m/cg375XFDyYPWfVJcHv4ctGp0T6tSofS6zzzxtlamrjofv//FmrXfeGza/QiICn8HMoZ8SbCXpqHv/uuOvN0xHJQiY1dPAa6/p4z4iCg60mD3wD7xt3z8fa64NQ6m2PSOTe9hOMsoQ7UQ424IrMrjs+sqs4h4SS4tFjgQSAfnO8fU0iF166xjHckjq031+zw6ou7Pj1N5Rz84kUlZukWqMRt1NKzSCQORDSWiJ4ioreIaBERfSNMH0pEjxHR0vBziFDmCiJaRkSLieg0If1wIloQXruOwq06ETUS0b1h+hwiGl/5W01GLXAOPgt0c2ssurB1eYHD41Vt4qnFG7Fyy27c/fLKxHrLRSXGvmib77TTtzT21lr3wmjDJ65/3pheKVGgzwbZpyXbMxH7+f6WXWhpL6A5lOeXtFM1FFF3+Q/OX51YTeLzq4F56QNWgbho3U2s1AHg24yxAwEcCeAyIjoIwOUAnmCMTQbwRPgb4bWzAUwBMBPADUTED6S9EcBFACaHfzPD9AsBbGWMTQJwDYCrK3BvqVELY9BngchLHa1Mp+ev3IYVW0QupLIPIw6fkWwrz/GhCUON6b4LmS3XBb9/xau8Lyo1kfmzKVekYFtg5N+ET9/wohS63ZbXLp3Tr6icwnNLNyX0Npng1cC09MK1Tywpu45IrNQdiANjbC1j7NXwezOAtwCMBnA6gFlhtlkAzgi/nw7gHsZYK2PsPQDLAMwgolEABjLGZrNgFtyulOF13Q/gZOqCbXx3UUjnhI5W6imp9fjUm6btUsJn7L/3AP/MBpQywUo6+7kTfUDK89GQf7+ZkoNS79P0LjsUpYPPEEkaE7WwafPB719Y3tVdqChS6RxCcc+hAOYA2IsxthYICAiAkWG20QBWCsVWhWmjw+9qulSGMdYBYDsALRA+EV1ERHOJaO7GjRvTdN0LtRFbKTlPvszZ4rMzrd6T8Fc62Prg+55K2YHzM7PTgLdiMw7wrydZI11eXKi4rB47K7n8zx9dnNiXFYoRhI/1UtI9VSYeVw1sxT1QS930Jg5E1B/AnwB8kzHm2nKYZi5zpLvKyAmM3cQYm84Ymz5ixIikLqdGrgbU8z6DWAzzUcoibrZaIemJl3eQvd5AKX4O5TKPneYEF7bT5hEbyQW+6S7XWinOa9/pl/JkZ7+rnPFhyNPaIT+DSizsPjGnktBNDJ4EkWDXd9hrOSSiegSE4Q+MsT+HyetDURHCT+67vwrAWKH4GABrwvQxhnSpDBHVARgEYEvamykXkRdviS9mxlWP47O/0U0d00AcxLZ+iESsktI3sbVyuKhKxQYqV7RV2lssIZhgeMPtHeUtYq7+5kogrhyRvkdoIWnc+MwBc/wl+bdXOPiELB0VIQ5dv9j6oJa66WOtRABuBfAWY+xXwqWHAJwffj8fwINC+tmhBdIEBIrnl0PRUzMRHRnWeZ5Shtf1GQBPsiqSzlN/9QzumL1cv1CmF++G5la8vLw8miYOYls/SuUcGGPOSS9e21OmR7QKa+A9x5JYrpivlCFUit6JN6PumtOCv/tyRz5fj7WFukTOwRrA0OTnoOklfExi3Xn61Oed133wxqrtNbEbTwJTPrsSPpzDMQC+COAkIpof/n0MwE8BnEpESwGcGv4GY2wRgPsAvAngUQCXMcb4SnMpgFsQKKnfAfBImH4rgGFEtAzAtxBaPlUDLe0FLN2wE99/UA9fnIt2WF0H0drD1o+kHfVzS836mAtnzcWEK/5mrVOcO88sSdbp2BZvp1gkxQTtCgOBZRt2YvzlD3vdPwdf3MoNMeKlkPaqR85FlnQRqme3VzseaZXwcxgxoNGjN26ceeOL3UJhzCq0QagE6pIyMMaeh32jcbKlzFUArjKkzwUw1ZDeAuCspL5UAvz4vqZ6nS66JtExk4bhhWWbtXSOZRvSKzJNkIgDM6tqRIMQlVCs3LIbX7z1ZWPdsbObfo1QOaJojtUUdFRdK1yTQLy38cP6YrnF49vaj1S5A9z24nIAwMNvrMHx+/nptXg75XJbLlNWCql3qeIeNV0dN3va0nM9ZrFS+qeetNnpqJDCYMn65orU0xnIPKS7AHzxNZ3dEMl1DeU+8cF9AABD+tZHaR2FIorFYMKe8qtnKtM/UaxkySPJjhXiUVZsnyqOx/j4Q3sj4y9/GPe8HAcsE/vzX586OH2jJdzPi+8EG4COgn9hzjmUSxze3RT4mZQvVlI4B9LT1fGvKn1dhMTWjlrOVTYNbM/j87e8hFkhMffBPa+sTM7UxYjESl1PG3ofceBwBRYzXdt7UBPGDu2DE/cfGaVN+o9H8OVZr1TUnr4gLEq2el2HipQSFTNqr0K7FWctms5BxuV/XmC8ZlOgiql5RQ4l3s/yTbtw0A8e9ToHGUi5Ww2ztrSVRxx+/vfF1mvqvXl0R8NOMbqpUl0pFkFmsZLdQsqGJAJi00m8sGwzfviQLh7uzvCJr9VZSBQr9TS4Alu5drc5IhBIG6hPL95Y8tGIpknRIekczPW6WHefRc3KkaS9DdtZAEI9jyxYi2H9Y5lxqYPeZ23ME6EgtCD248+vrcbutgIeeC05nAOgO3O5wB95S0dllPimZ1SXI7TBUy8RKaTlzO0ObkjjHCzPUW4nmXOoRNC87mJpVAnU0r32Os7BFbskNmXVr+WIkCPzxC1l/NsGgY+10ivLt5ovoHTOgSj9wFTX6zaDtc6lf3gVn/3tbEGfI193W0+J/UumDqqfSjnzrL3AcN7vXsajHmcz8DFluv9KoT6fk9oqF+rTLMXSyvR81eFXicUuaUj7vKPuAu5ouGNP6eLhSqHXEQcO03hzrT+5XEAg+EAVd0QlcQ7C94Wrt2P6lY9hy662xJ3/9t3yoFHbTiMrl6FzRWnBg6wZFzDiCmn/NmS7/OT8qud4OXdTKDI8u2Sj8RwLFfFO3ZUnxX0b8tbn7RuXJFz18Fv46l2vSmkqsW1tr45CuhKWRkkbnve3+IkKuwO4KXy5ZtFZPRj9AAAgAElEQVSVQK8jDjaWG3DbfueIpN21+PJK0znE32985h1s2tmG55dtUqyV9HIfuVZWfKt51ImUblGyXzv5gJFa2l/fWOtdT8Q5qHn9uuZll59TdQ5hR97btAvXPbHUs6UAaWTwkX+CM49/26bnV5fjnIOOI8YPMaTG6Cgy7V2pz1P1z/EzqzWIldTfFWB0ksZw/8Z65/UMpaH3EQf+adr1OK4FxIGigSqKEErZca/f0RJ9FydqIUHnsH6HHL9Hbbu9aLc6idNsIi1bb/3QUJc8nEolVuJO95rHlxjTzzxMdMCP7+fEXzzt3SZHGg7Mh3MwjZGffeaD3m3U5e3k0ee5q0jixHzu3mds+Xj8Jw2JpHGZ73WrWOeg1z1W5tjluZTVOQr+eB7R5LQU4vCvf3zdmJ7EOahQs6iySu+dOblz+9xjg8csLXVn6aOQvvj4idJvU599va7TcA6ucaPmkfsCTB09UEu//sllWlpdzi5WsunOy6H1YjtpDk1y6ZRsopIksVE5Fnidib0GNuJz08cmZ+wm6H3EIfw022g7lNVEoc6BaeVLGbu2XZdoJeO3e2N46PU1eHFZEDd/a+jkVwqcMnOP8k0N9jAH0UHvqcQros4heVFXF36T/qbZ0w8kTRA97t+QlnMgIvzugiO09EcW6uK6G79weNCG8gDnvLsZ81bYDRRsqEQEYuMccuSRTGnFMgljIonbrBUDn44CQ31d10d2rhR6H3FwiACY8ikiR8Fk5muGbFWUfnQOaIqtiMWFT1yTfL1hv373azj3ljl48u31uFaRrfv2jZDuAHoT+jfWJeYt1drGZ8qpdReKRc2U0ieENADsbDEvZCacdu2zQfsljANT+HW1mmMmDcOE4f2M1z5300tWQubqThKtvVtwRrTBbK1kFyvZnmnSOzFtvsRnbSt98R1znfVWGm2FYmRV1hPQ6/wcXFvXmHPQ8+RzhLocoRDu7MUss15ckboXInHg2LyzTYpA6bPUiBPny7fpk8GH9U9KD9rxI1RBmw7xlLKOOUUxwneTR7utfY6OAtN0MKu37kmsByjN09ytkDaJuMzObaazFmrzwBsT9y3/Fu/bJlZKGlum67IuQy+zfU87/r5ovbPeSqO9hxGHnnMnnnCNw/8LD4c3cw6ExrpctEsT5aCigtQXA5piCws+73/y1zfxx3nxeUheOocSWG7TZGvpKKY+GcxWb7niqSivpJBO359CkWmK5X+86bdg7Enwdh47tI+W5iau5nSTuEy3ukoWAx32gcHO6yrKEcVwubpxR+9ox7YRSHKUM3EW4hh+Vzmg6am3N+CQH//DWWc10FFgkclxT0DvIw7C9/GXP2zOY9Q5BFYh3B68XJ8A0+KidyQ5S5K+4+X39BDipsn27fvmY9EaO3HwuV1ugeUWT6kay+R6AT/ioFbVUWQlHxRzwChdUSziex8/SG8/zX0juCcT5+DikmxtDO/fiHM/9AE5r5Mr8x+/apP8+FYfayUfA4ukMWwqJ9Z7y/PvSQTiNa7f6kQUiwwdRYb6fA5TRw/EoD7d37y21xEHLxgGY44IDQLnUK4SrLEuVt7a1gKfCZyU5wu3ztHSTDs1V2gFwI8YfuOe+WGf7Ejz2O54KRbX+ShQTQtT0n3Z0FpCKAy3WMmcbtI5qPSCgSWepFefz2F4v4bkTvI6yxi/nKAZ/RwcYiX+9Vun7odnvnNClJ5kjXTTs+8mtnPSL2P/n4EGkW21wcWX9fkc9hs5wCg27m7odcShVOeeSKzUoYuVSutHcvkFq7d71JO+bV+lbKntMMdmvUTGwesIV03nUAbnkCRWMpEqsX1tcbBwo6b7MomabE6EHPnAYsLaH62v9kuG/hjastTv8nO455VAyb3/3gMwblg/PPdvJ2JQn/qSuHDXGB7YBbt2vgmpz3N/qE7vQsXR+4hDwrQITkvT0/M5oKEuHynVOiNA1hNvbZB+r9mmK1NL6UaKmHJxmRQNuZ9xac+tFNPLQrFYMhEvhePgJf76tWPx9L+eIF2zPT8fzgFwRwwGAie5NE+onPHLiUOSohiIiUVbRxG3zw44Qd7PsUP74qiJw0rqi6uMi3Oo1mlw3JCkPp8LD84qrZ1JI/sDAEYNaqpY30pF7yMOHvJNUxYibq0UXC3XL0csbpvUqufr0T990lCPh+jJIQf2RZoSrup9DvvZZbCHL0UhXc4hMSU9o/Bmxg7ti2H9G/Gb0DcBiBezV4QwFQSynCtiUki7UZejdM+oHLGSg1CpSfy+xecpckb5HJU0l1zcqUtnUy1/Oi5ursvnSj44a/G65ujQsMl7Dahc50pERhzU6zBTfTW2ku/OwCdkALeSUtHoERbBZ7CrXVgnhO7whudob2kvJChmk+tYbeCQfNY9/rymjwtiDRUKZi7QB+XsrPnaNGZIbHTAazvrN7OlfKplUrHIsHa7/f3YNgN1KU0oy1FI+4qVciScZy0GURTyE+k6MJ+59dJ79lMZXXOiWpwD5zQb8gHBL6WZP8yJdWy1cN514ogiot8R0QYiWiik/YiIVitnSvNrVxDRMiJaTESnCemHE9GC8Np1FG4fiKiRiO4N0+cQ0fjK3qIML7GSIb1eeem+cnurT4FH2SaPg9V9BlEpOgYVvovltt3t7smp3LnvIuXjIT1yYBNu/Pxh+M0XuTdxukWQo29D3rlA28Afkamnvs/v14bQGQCSFdI5SiV6K2dI8DhP4j3tbuvAyi27o3pnX3ESDhk7WIgoILQt1BVwDipxSO6DGmVWhr2CanEOqliplM2FaLlWA7TBi3O4DcBMQ/o1jLFp4d/fAICIDgJwNoApYZkbiIivcDcCuAjA5PCP13khgK2MsUkArgFwdYn34gWfh/5P1z2vpY0e3EfyIt7UbA9TITqybdltzuezqO/vwVr63E8l9CO+NRAlmFB6VKQucc/924leXBQAfPTgURjaN7DaKVr0R0nwIcom0QW/b07IxDy+/Xj1fT0UBhPqtFXTp6FOd55ztFPOkODvQgz18oVb5uDDP3sqegYDmuqlzZRtDOaItM2LKedTi2P9G2NuK7Q0m5NKgRuq1OdzqMuT1RDitfe3Wq+J+qdaOPQnccYxxp4FoBvLm3E6gHsYY62MsfcALAMwg4hGARjIGJvNglXxdgBnCGVmhd/vB3Ay+WwTqwQGs9iFx1bi78xkIsohioleCGMeldqX5DzJuUpRQGvteA5WShC4ljLkxw7tmyp/fGay5zMsYSIev/8IjB8m90vlHMRR7NtE4qJgud6nPt9pCmmuCxMdDF99f5vUPR6oMuIcLCt2jkj3mjf07Uu/fyX6nnRWt9NKq0pr7u7Quq1vQx79Guuwq1Xv45L1zfjUDS/iv//2trEOkXOohWCD5egcvkpEb4RiJx5QfjQA8RTvVWHa6PC7mi6VYYx1ANgOYFgZ/XIizdy75bzp0rVczm9SiTsDPoH+3wn7+ncyhM8A2dOWvPJ3xmlcHMFRqvbr6sT37Zptu2BKp1A/BMa8Fv57lYPnzWaqcj31+RyuPONgOY/Sp1zCTtC0BzK+K050HKt/n4acMeyGDaZLFxw93l5AAA8RYVL4FyMCGZh0msRKYjdzBhFM0hvbnnBKWrkxwkoBJw59GvLo31CHtkJROxlwSxgUc6HFRD3XQ4jDjQD2BTANwFoAvwzTjfPKke4qo4GILiKiuUQ0d+PGjel67AlxJ66eYkXkZ1lhYg8PHj1IbsejHp+F7e+Lko9IrITOIU0NZYuVKsA38lP7fPr9nMLdmdo3mzeb/Qq47F/iHAztznlXV6r6GEyY0FSf99LLuNoxeWub8jY4iEMsWpMV0vI5JXKb6mKeFFnYRhx4G65HWC1xzZ72wMKuT30efcMAlLvbZKs7/nxt87FOeP5thaIknu4KlEQcGGPrGWMFxlgRwM0AZoSXVgEQA5qPAbAmTB9jSJfKEFEdgEGwiLEYYzcxxqYzxqaPGDGilK57KKTj732UENQ5X/tlw6KgxcvxEQdVSJ/gMvvzhq8CHiylQtoPaSWNSVFmRfgckWmqST2AR1wYeR84TGIVk9+Kq88hM2SEbWG3Q6/It45YrKQ/tz+8FDi6BcQhPhzLNm/ESMcc/3y7O5rqtt1m4tAeRS9wbE6cNZeOlnAMNdXno0VefeX88Vp9XoTn/8aq7Tj0Px+rfEdToCTiEOoQOD4FgFsyPQTg7NACaQICxfPLjLG1AJqJ6MhQn3AegAeFMueH3z8D4ElWRTuupJrFhaKpTiUOfucsi1OM34rJ2SkJaSKhulAu50DkL1ZiLGFyetVj9xD2RY4oNEv2yZucx+dYWTWLSNBM/eC28X//5nFRmkk/JCq6ReJ6nyAOy5PJz8F+86b36RP5FoiJw4Wz9EWcmyFzH46Ic7AqpPVn+95G95nQNp0D52Rc77xanAPnWupyZCUCfDz4hlJpbunQRFOdicQAIER0N4ATAAwnolUAfgjgBCKahmD0LQdwMQAwxhYR0X0A3gTQAeAyxhh/k5cisHzqA+CR8A8AbgVwBxEtQ8AxnF2JG7MhaWh84vrYUqmpPod//MtxaAkHY85TrESSWCn4zKu7zApxBZXK40Jdjrw4Hd7Wmm0OO32m/jbJ4lN1z4jYnDC53/qiaLJECnDW4WNw0XETpTRT2+JnkFfPzSf+OEGxnYZz+Lc/vRF9z1XAlNXXVcInLDWR+A7sx4Xmc7q1Er+NMw8bA8YY/vzaaqXv5mfEOZnO1Dk0t7SjWIzbzOVIIAIKcYj6YO6EKezHTc++g6+eNLlyHU6BROLAGDvHkHyrI/9VAK4ypM8FMNWQ3gLgrKR+VApJTMn7W3ZH3xvr89hvYOzGLg72GROGGiOeAgFR4eD51V2Bzxj14go8qFVSSOQk5HP+Tj2MAd+6b779eol9sCqkLQtiEMKgcjoOXs+4YX0j71UboeN9Eq+bXsHZRwRRVEXiNNdxqpts/SRXaOIc3App/WKdTwAr+ImfCPJmyjYG8zmyntc9sE+dsZztvrh5q9taqbLUYfqVj6O1oxg5POYo9npXmzJ5i4sY2EdfjnekOHSq0uh9HtIp8oqLPBBMev7CXYNM3FnFpn3V4hyS6/ERK9U5JnxdLqe102Jh7YtMP0NBvS7CaJxTgfnL5d2uqrhiVV1UN+1s1fuk+DAA9nvhWcTIrqbx8uH9hhvb19oWd93hp3r6m2nBdvlrmJ6xGq7F1Of7Lj5KGivmaAJBf0SRkW0sD2isw662DivxMKXaxgf3u+hMzoHHWlsVHiKVJ7tYqSOBeJnSu8ymH72ROKQYHA0K+ywPdns5OYZ9yDlYFNLqQSUiKqWQLreegHOQr9/24nJjXsbc4Tn+IVhXFYvMcsSlSb6fbppE1kqOe+cK5VLdamwmmLw28eQz0zvg3KRv6+LmRJVFB2IlGa6w0abHom4Q+MFI4n3OmDBU2uiYzoVurMtrZ67bdssDmurBGLCrTa/HxvnZXmm0+FquA/o7W7h6u9HxUERSSBgRuVy8EVRvmetEeGA+9ZnUgPWqhF5HHNLwDuqikROChLkWU9HEL4otY8n/2vv2g0kqpnPwET0JWVRCZuIqfvqI2ZEnqT+PC5Fmf/DQQpwsxOE39YUj7frNRYDOI0sjMVAyzLs6iylr2NkBjXXCNbsYJ0kRHJWkeFOhEgezQlrHKQeOtPZH1SXwAIjq8Z7i+DAp0BvrOUcWO7hJ5zoIefs2BtzNbiFEOq/d9v5sc8lmrST6b6gl/+nXz+PTN7xorA8IiN8B338U11vCmqjICe9BnXd8XcgR4at3vYZ9v/s36bpx7nQh69DriEM5bKVNwaaiKBGH4HurskP26YfPbqVS3IWImVP3ln7X5f2stHz7w3HnS+ZD7CthUcKVt7aqxgzpoy3mXvUKWWdMGAog9oeJRE/h9cl7DcCXjhkfXtORjzgXd5vHThoe18s5B02sZCdWHIP61OPyjx5ovBbUQcbfqghRJGYmkSXnuHMe88Wkn4nqLprDn9jqslkriZubtGOLR0l91MOfCODiNPM9FQRK+vCCtdK1RWu242ePLk7Vt2qj1xGHciCGz3jdcRSh6CHNB3KrRUbvZoGT++RDQFxxaPYemBw3Pp8iymQlFH6m3aht/bQtrLlQFGbrDjd1Bfz6HBESoSf5HOHkA0ZiJCcOis4BAI4YHxAQ06IUiZUc1OH+S47CN06erNWriZVMCmlldPWpzztPcXt7nXxMLOdsVM5B1FubxEX1+ZgjShIrRQEFxaitgljGXMzNOahl6utyOO+oca6iVvDn3Mcj3hYQKqTD56O+c5dP26dveNGo6yrlHJNKodcRB9+xcca0fbQ0vhNaKVg0mSDaYfOFZ98R/eV+MCZ9mlApsZLLVrqxXh8C6nDM58n7uVVCbmoUBaWcI0lmx1zuC3hycYqDm1wPz8PT4kyRctLwCnysfsYM6Ss5UPI21OBtJt2NdnYGWNQfowSDzJyDurFJChBXH3JEeQ8xbGzeqV8LOHCTWCn4vOW86ZJeMNY56GUODM8ETzs8uXms6sRqQxBTymzKGoX7N/SiFsJlqOh9xMHzHdgOYSkyJslHTRBPcOPtjRocmLp9wCOIHJdVe1kieWQyK30DmJzz1EWiPpfzZseTduGnHLiXRx1eTTlBcOscRJ+BNM6GhqcVt2CoJ46mauAcPBYccZceKKRDMaVC8Dc2t2rvTTeljHeiZic4c/92tTnESg7OQRLDWoZgzDnosL0Xnjp2aF/p+cTWSoZ2Euq0gYuDfZ1Y85Kfg3wtGm9GR0czKuHzUyq6/ynYKeEfXdS8aBZZskftM0viuE+RcwwBS6/6KApFhgO+/6i22wSAZ75zAlrai6jLE07+5TMV0znYRFqA7wJFkh5lR4s98FlSf4b3b0hszyWC8QV5eEjHYqXk+qw7X5EDgYGzcLThsxkV71vkUrgsPK5LtyhTf+9pKwjnQugdUjdEtv4lBYgTxUpJBDjWORh204whz/RORIYEJPeZi0+//38LpfyTR/ZPNCO1oT0kwr6hRXKCh7Ttfby5dodarOL+F5VA7+McPPMZz/HlnynWKT53ckRBrPdI5qtj3LB+2H/vAdF5BD5cgc+gcnEOphPE1NsLPKRjbLfEtgGSd2alhgTxddDiSIqDxXUS81Zs8VI2PhB66f5hjqxEF5/VfXNXan23KSfHDOnjpQgX75sQj5tv3CM7GprGipoimp2anoxKHIhgdPSUrJUMJpn1dbpC2uprYxBzkZBmNGUVuDixzzb/mk8dOjpqJy3nwOeON3EQnODUV+KOOWZGFzIOvZA4eI4N07z1iT1zyoF7SXJQW3yVKNm0o7QE7hLxvY8faM2jOu+1thexxyIKM5mpqrepRs5URRoikomD87K1jpS0ITx+0v6+8yEXeOaNs80ZQnDTzw07AmXhqq2yvonvjne0tGP9Dl2haFNOTtlnoM9tyGIlx/hrKxQNHtImMRe/qNcxSAnf8OdXV+Ozv9WfjzhkCkWm6bQaQp2DqJAW+yIRAr0bUt1GU1ZeluS+tFtkV0R2C6IktKXkHFxOcF0RSrwc9D7i4Mk7mHUOYR1CFfdfcpSUZ8SABgzqq8dI4fXFc9OunLKxpSL4JdOO8dun7i/9bu0o4ronlxrr8VG01edz0j2Lnr+2ftng67SnOialjTrKFybb+/atjy/I8dGY6vVw92zZtcYyfvm675nPtrDgKo6dNFxbaF3B9UzP5VLlzBHTWd5iHUEbTOMKOLcj+jmkiT7Nay8wc4TfeF6Q9Hxcnvku8Z4NK7fsxrfuex0AMLhPPVo7CvjqXa9ixeYgMKDJfyiXE62t/ImDDV2pp+51xKGcmL05g0hI383JZp93hWIIPoZ9RFImaweVCDSHcv8Oj2Pe2gqFyKFJhZFzUH431OWkxcTFOSSOf6/nz6JwBBy2xdz2OJOisqrhtq09CSuwBZsjCm7JpZMA9Nuu9yVOwh0GYiVzO1NHD0pUSIv9MXOcsrmmmGfcsL7406XBRkg+sUzfxNRFnEN8zf587Dt6xhgmDO8HwOztLVoGudoAYg4szTGh97wSixD7NOTx0rtb8Nc31uJ7oU7DJCpzxVYqhTsoVOIYxxLR64iD6f3M/8Gp+NEnDkosaxY1mfLErfDdly22kllRqe9S57wnHwzTGE5kcbcknrN8+Lgh0ffW9qLU/jGT4oP2TIuuusg01uUkCwsTR/OfZ0wN++ync3Ad6FJkugLappC+5fn3jOmxh3QALh5Kqk8Fvx07cQp0F7YdXvQulQx5DznZ1NED5bOzyTxe+PtUb8l4+pzD6UyDkGna2ME4fFzgs6FaK6n3zjcc9sB78XeVkw7ug6K6Lzx2AgDgQ6HDoXhfwYl/cV9cnLbLSsuGjc2xmLBQZBr3YeLaSxUr2WA6UKmz0PuIg+FZD+7bgLyyM3Qt2rLyTFHiWcrybOpB8aZXT4bBpdb5mcODs5NEe3dx0s4QJpOqkP7xJ6fgshMDEYIr4B6HuGvetLMVC1fL1hZEiKJSin0+fj/9QCY+1s8yyLKjPEWmEd20YiVu2cMXjJMOkE1ofe3W+d1Yn1PIOdh2pLycupD4NP/Xr31Y6qetSJrNpcnpzAaxy6IeTex7kTFtEHPCJx6ra/WQNohqxfab6vOYss9A6fqf5gXGAaT1xX4vListG8T5dM8rKyNRJ392Jj1eLleaQtqGrvR/6HXEwQZ14rl0AeILUye56Hkr1a9rC6V277hwRnRJJEKFIsOCVdvx0Pw1UnG+WNqOavz2qfvhz//vaAAB5yA2T0QYP6yfVI/UV+V3Qz4XehszTL/ycfzwoUXWMqIZ7+ZduoKWLxaqKaaIG55+R+tX2uB4qmmn+j5dRJHvVsX+DmwK9EicCEb9Ciq3K74txKGUKc+fwfJN8mE4atiOKN2hkH4/wZFTrBeQdSSkcQ7mZyueIW2zVnL6OYiB6sK0lvYCng+PdVVNWfkzPukAmUsU+5xmrVXH3LWPLw37Ffxevtl8KJFpc2f67YOMc+hEWJ2izGu3BJMuIFI0E/DHS46SHH9sENviL/+AvWPrldirluH6J5fhE9c/j3vnrhSriBYCUawk1luXz0UWMW0FWawkWpEYF0klqaEuCNn9jiOCLK+fTyAgtvAR4TPUn1mysYRjL/X+FIVNrTrHbJZn/3zsBByw94DoN3+VPH7Szz7zQSk/96ewvXMuf1cneanWKYwxfOqGF8x1KfdkdgYLiZVDeRuVFzgSGzEtMH1GRdFuhb6l8XPgLcWBEWNC/+1QQQxw+b7Q3zBPY52+rNVHmyl/NstmM8Dv2LZwx5s7Veng1674Gvt6hu2oBnofcbCxtyksisWBzifCxOH9cMT4odKEcLGE/Ap3zxcnn8iWvrl2u7E8z6OGUQDie+FWI6K8NCgbLxymRbhZOWCkPh8opF0xmkyL7ahBetwm/9DHye/DLWMOdQ6R/E7Z3VoU0tqZBuEnf+f9G2XFKIX9sL3qvPAOxLArpmeTBL6D3qr4mUS0Qclv2gjx1+SzIxVz2Ig1YwZLrIhzEJ5fYmwlHXy4ifU8t3SjIWfcF8BMiPqG781mmGHsm2VNiNpJIA66WCn5mY8a1CTpw8aFCvmuQO8jDmXk4y/9z6/GxxaODsNi8J0/CeIMW0wjkYDwSSoeIyqypVZFqMckF3dg4mKbz1FEuEz1HzJmkPS7Pk9WhySE92Lq5i3nH4HbvnSElObauJ2wf6yj8AmR7Jpr8YIi/o/hUgiblJyiM6OpHdtCwRfK9kIRH/7ZUwCCMfONU9If/WjTZ0FYREW4wkikdbBUx8n00ODBFNwwL4Qi53WoITj0tsR+M6l98b7FfhAB3/ung7RyplvjRF3d+Lhg25/w6l3nYgP6mPCREAV6FH38dQUSiQMR/Y6INhDRQiFtKBE9RkRLw88hwrUriGgZES0motOE9MOJaEF47ToKZyARNRLRvWH6HCIaX9lblGF72H5ipeBTPOhmQFM9Hv76sbhaEDfwotwf4Pv/JFtCiQfFiweTi9cDhSozLmIPf/3YaAETOQd1LIvKPnFSjB7cB6dP2wcnHzAS3zxlP63+S0+YhOf//UTcceEMfPrQ0VHYEJcS06QTGDGgESfsL8t/XbunS46P7eznOY7L9KkrOgkuzKJmHdbPHMaDSH6O6m5UvU3rgh2CcyjiYty3Ie91DrPeN/NZ3rHOQe6c2TAi7I/HoiNmUYkDHzcM+riIOAcEC+LrK7fh63e/ZmwjHjdxHXzDEz0zQY8nzgcikqzyitG71u+tn+HciCRYuVfLmBL7JfYn7l/yM1ffcblH/JYDnxF6G4CZStrlAJ5gjE0G8ET4G0R0EICzAUwJy9xARFxodiOAiwBMDv94nRcC2MoYmwTgGgBXl3ozPrA9ah+W3DZYpuwzKNqZ5AQeuNUS7tfIOSh1c5m5SfoxZZ9BMecg6RzMSlzGGO5+ObDZbqrPgYgwoKket15whDFkdz5HGDOkLz48eQR+9blpkXlu0k7dB66h7jrWMm1dOQocsGKpkpxb1CuI0BZYznkw8wLMJzOf+L/67CHS9bpI1h23v32PPfyIC7ZHzOI1VEk3jOFo3JhZuKf+9QTcct50APJiphsIBJ9Fw5kLeeGEPcYYXlMcGpPWSL4giocxxScqCn2wltPr5MTYJIa1waaXijkUN+eQFOvKBpmL8ipSFSQSB8bYswDUACunA5gVfp8F4Awh/R7GWCtj7D0AywDMIKJRAAYyxmaz4AndrpThdd0P4GQybUMrBSu1T87n0y1RIc0d1VQFmVgN3x3VKxwCj0tjG6A8fY8jqB6vR7wVtR2fJx04MyXl8XtlrgkyuI/uWS5i1pdnSL9dO7HIzyHM8oFhfTF5ZBw23dbfoycNwykH7YWDRw/C8P4NGuehMnLcZNYmduI73e8+sCBKMyl3fXUQplvmSWqtJtERJ24isbrv4qPw/ASbBfgAACAASURBVL+fCACYMLwf9go3DGJp1S9E3O+rfZJ0DsxNxKN6DJka6vJRPRyqYYXYK1OoDg4+7m16MxuxNCESKynPl4tQbeFv3N7eAUiZr5U4+KpUlKpz2IsxthYAwk8uOxgNQDSrWRWmjQ6/q+lSGcZYB4DtAIahSrCHcE5e3HwMaAjxyz3lV88CMJ+ZwPN0hDFxVK6Ei3LaLVsH9Xxr3rbeZzkukqqI9blvAsnKXWM79mtXfPSA6LttJ/TgZcdgsCHsyP+ee1j0fdJI9UwMe5txVNYgU2NdHo9963jhul5m8ZUzcfS+wzGoTz3+8rVjMXF4f02OrS7+xWLgzW0TO/GFUhTr5Q3s4KkHJYcyVxcODn6P/QUv4u272/HHecGUu+srHxIqCT7EhW3GhKEYMyQOJW8yxTSNz6BtfQHjz8hm1q3eExDf1/bd7TgotLL7xVkfjLoccUeGshyRw53Q6L0XHQkAqK/TxbAiTGJMu46NGa/H9837IWcwLfRqEhFw4KiYq3VFI6g2Kq2QNi0RzJHuKqNXTnQREc0lorkbN9qtFlywLigqS27Ioi4Mn5s+1tBHvY3GOlWsFIfY6Cgy406Shx5os8QxaqjLoW9Dshgm2EHHvzUdhg/BsyxKQMAV3XzedCdX9cExg6Pvtp3QhBH9jGI7NRiciCRixRiLIq768DXqexI9ksXQ6yL+L/Q/4Q5R6nMwGQykjTArdsjFOXxs6igAQZwl8VS3o/cdHtfAxUo+8gohi3pKWazP0gPvccIT6Bz0dqaOjg0eRI9txhgO+ck/8MryrTh632EYOaApbCuWw4vd1sRKBnHPhyYG+0z+zDmHUCwy/ODBOLS3r1MkAGwLrcVUzoGbydpjK+l1qUkEwk8/HesvXeH2q41SR+n6UFSE8JOfbrMKgLhijgGwJkwfY0iXyhBRHYBB0MVYAADG2E2MsemMsekjRujet+VAkyo55LUck/fqr+UhIhQYk+yxh/ZTFjiKOZhC0WyRlCMyRrwUsZeiLzCdSRzIfePf9cqu1WdO8MijJq5r1pdn4NSD9tLqOd1wkh5gX9CDsAN6Z8QkTYbrVJAHk/H3LywPE9Trfpwib0EM2SDinBnBcOc7PPU5jFWc5gxdsaZpeULdj4p/CZXDuRzhg2MGoT5PVis3/oxdYpQ4OF+MnYqVD8/zyvKtOOEXT0vXuCFGJFYSKnrmOydg7FCdS2FgEsESFfYi5yAtuBrnYN7RB/VxziG4+M7Gnbh99grtfnzw7qZd2N3WoS3+h4SbIFMkha272jD7nU1aXSaxkshBt3RDzuEhAOeH388H8KCQfnZogTQBgeL55VD01ExER4b6hPOUMryuzwB4klXRfivJwiDKZ8rjI4KhwIT1T6/GUrTh/RuVemIEnIP+GnhIaRU/ECyf1PH81RMn4byjxuHzHxontSU+zu+cJkds9VXv2MRKtkVT9AcQLxUZ08Je8zzGU+mE72r7bs5BP/xGxKI1Zv8RuW3SRAhqDyePDEQA0XGSyj3U5XO44OjxEgdkjHlUhprtOCFMSbA5SQ5U6DJlNYmVbArpFw0LHvcmzxmsqzRT4PCTMVmEIvqbiNw4k8qS5LnNFdKmTQPPZzstzvS8XPL+lvYiblXieg0L57lJrHTe717G48IJkRxqCys278aYIX3x2y8ejnyO0FLLnAMR3Q1gNoD9iWgVEV0I4KcATiWipQBODX+DMbYIwH0A3gTwKIDLGGP87i4FcAsCJfU7AB4J028FMIyIlgH4FkLLp2pBfBnnHTUOC38cWNv679wS8hhqMpotMuCxN9fjgddWGx2yuEL1JOVYTW6SB+gTbWBTPX5y+lT0aZDziPd81L6yOsf7vplFtBTJ4uVk2VYb0neRq+Joqsubz2xwdNCtkCZFBCFXtG57i73iqA5xUeJiJbkeNTyG0eGc5L76mJEa+wOdIIqhPoDAuq1YZM4osoAcVE5FzF3Ejalj3xS+nuPbH9k/6nBRGTe67iL43Lq7Db/4++IoXTLtRkxkRIKfI2BovwZc9akg6OOP/vImALMvjco5aOes6EWc42vt9j2YYzgIKegXFyvFaW8ZTn8D7Buc06bsjb0HNmHzTnuAymoj8ZhQxtg5lksnW/JfBeAqQ/pcAFMN6S0AzkrqR6UgDq7+jXXRDlc3A9TLaspI4w4wuRyX4X/l9rkAzEdn8pPK1MXmjENHx3m8REKyrbSpL8l1yMpdES7nMBPESKkcE4cH+oac4UhIF7vvWmIJ8u5YrcbreFSBsPIFx3aUJheJGI+XVXQFpsXLpz8mfdbXT5Kd6UQHR2Md4TL4+io75xTrJeKO6lydWa4OINqciGbdSfV874GFeFeIGfXIwnVSFtVqLOhnUPYTh+yD/3gg1h+Y+hRbKxW1emxlnBEOlEsDDJyyWKdtGLtEoxNH9MNKA5fdWejVHtLiRNeIg6GsurM1ERDTGNDCekMWedh0DkUm7z6OGD9EUppqC6dx16ruoPW+JIFgXtQB4IgJQ8J29P6bYNwphVmTxEpaXQ5xbI7kxY3Xc+UZU3HPRUd6yZjFHb/VCY5kzsH2/uWT0JL1Wcb+QBfTkDImuXWaTeHsa7oMyJyD1c/Bxb0ZrptD3Lt9P0LGVWuPV2ULhy+1mwviMHVYOAcTIfARvZlgja1kgCtLQz6XRWXtTIgvQxyounepaQL7LShaOcPEEqs36Ry4nwMcRMTX78IUK9/VX2Mdcldw+5dn4K2fzIyIVRrOwdVOGrh2XdwJjoOHLf/CkeNw5MRhXqHKAX3Hqr5LNTquTakuznGTWOnhN9Ym9sX0fNQkThz4ITE3hw5trjpstUre9xrHpItOTP1VL2tzIfxUn8lHBNNeLtYE5LhSvEvipmLh6u14eblZ3FOXz0VHiaqvwERMxYVZtUxM0ncB9mfzR+X0SBsRySVwgdVGryMOcCyUSShVaW1TwnGYdQ6kyWt1L2pXb+O2bAQxaCe5Dq5YFAfx4L71km5DZ2LMXBlj5gUtyKd3Rrx/8T7aC0XnwpQjks4UbmmX2Qwf00VJrMQ5By1P8BkppA0zSlXMmvq9waEDEJG0GeViJb6uq+bOafx5XKHp+U9Xd7hRwJ62DinNBDVK7G+/eLjUZ98T3P7p189br9XnKOIc1PqMnIOo31Deq2vRNimkxed+sGDKy5jsmHeiEF+sLkfOzVS10euIg7xQphQrqXmMegk9zSQucS36vB7GGG569l0hn+pF7SY6QKy7iPJoZfwojCriUsu5OAdJ3m7S0zialpTZwlPb015ws+3knsA+nAMJ4iBek65zkDkHo85BEe2VypXmiBKV2blcYK3ERWo2cRCHGoWW9xeQd9Om8C6AO/ZPIFYCfvGPJXE92jjR2xLTeZ+N/h3Mfg8A8JevHiv9rq/LRdyQ2m2Tc5x8b3K/1f5e+OEJWt9tj0YcewxMOpNdNE/P5ahLz3NIVEj3NMg6B8+MUX5PGYyapIVckBWU727UDw3h4gHxLGV1QfP1URDHVymcAwWOGU4Fr26tZK6rUkO9pa3g3P3nFOKgEiV1sfvJ6VO0OkSuy+YEx8fEU29vkH5L9ZBMEIxhLTzeQ2NdTvN7Ua2S8mFbtqi7ajOvff9UrR0z52AmMupzlXb8PnMBeltaGYN4Smw7nyNMHT0QIwc04cm3Y3PRg5XownW5nNVaydR+h2O8i+Uf/vqxmLJP3JYaW2lXa4d0GqP4TlQTXvGZ5YlqPvBej4V0BKMmMkre4frkAcw7/CQ2WV3UTfXYQhqobdnYW1t/9b5ACi5ngi3oX/A9TjfV4bZIivN/QHCeai+6+5MjkhSqHQU7cZg2djDOO2q8sQ7NM1clDuEM+vNrq02Xw3rkne+/zTzAkCf5TTQYiIMarJA7T9qIg9qOycuej5FJjlhUMXGI0274/GE4bcreWh4ROucQfLo4ItWAg0PivilZPl+fJ8lDWoRph25SfnOInMZBowZK19RDwa58+C3pujg33tu0SyIO4uuqyyVzitVEryMO4rMWX6r68s27O4WAGN6bz4RQG5tgONBDtJSJ6jFYpjiqDetxx7fxt9qRQygkWSeJ5rlDhfDYRaaXXby+2d64KMoSChZVhYyhz6K1knoCWN5CvNQ6eDG+mKjGAzYxk1QP4kn+zVMm45wZHzC2lYTGupx2HrgKrsQ0hYI3tWMWgwWfTl1VONpE+321JtOzsBEZX85h7NDA47whn5McC3OKfP7i4ydq9dTlYzGNSgySrJXUfvNrPzvzg1Zl/RuhufC23XZfhQt+/7IUIkOsKpcjrxP7qoXeRxzCYXbzedNxonDWrDqOTXPQ19xQSzOUEyee6pgWtKXH0VH75NUfRaShmUJ63hNjDJsEh5wRDq9vAPjyMbEMdr+9BuD+S47CMZOGeZn3ibDlLjL76WtAvIPmcNv+26/wUnynmLQTt+uPgu82XYcPB9dQl0Nru5s45Ek2ZdUX4/i3bfzwLJKfQwKRUesGbDowpYzXnQvivSLw6cNGY8lVH5VEamqAyb71usS8Ph/rHNQF22ytFHx+57T9tfuNdUx6X3kaD93iEn+2thexqzUmDuL7ynvomKqJ3kccwmc9flhfKV0dpGnFH3EePS1J7ltvWVDUPqiu9Opk7GMQESSF21br+NOlR2l5eIwhkZUeqcR1MoWNEDF9/FA01uVTW1/YsheKLCG2kqzM085wVvKaIPonRKHVFcsy9d2aiINYv/pc4rY8xUqJnENoPMA5B8txqGq/TH2RDBB8OCSNK7HXHWfS81zzOflMDJH7LTJmNPBQxUo7WnS/ibrQWmnDjhZccuer0jVTrKkiYzh49CBcduIkXbJQsBsgqMQgyZFT9PGQiEOepA3huu0tqTdX5aD3EYfwM2kgm3aa9er5wiV7SMsyVNOCYdI5qGc38DH4wTGD8B8fOxAzBXmvXE9ckRZ5VMDFx0/E4eOG6hdCLsZ1/q4PB5JEqEywEYA/zlvl5Bzmv79VUuar79N0oL0K0UrGfiiTXMZMHOLvVs7B4/nV53Wdg4pcqMTsUMRK08cNwbdODQL0cZv9NJyDjyGDi0vhsJ0LIeL4/eTTA+tzhPYObmVkCVSZk4mZyamO65DW79DNhk2cQ0cxPl5XvRdboEXAJF7T83AUGTMSMoATvKCddzbuxJH//YRkvVht9D7iEC0K7h2fiTioZyiYdQ5mLkBtS2QX1ZOygnp0pZnKOfDJOKCpDl85bqKRfSXEcv5PHTrayF1E/bKsUAtXB7LTXzvOdfbxG+Amna5zpFXYiMmNT78Thck2YYcSRVQ98U7mHMx1/H3Reixe34yOQjFSaOuHJSkck8Xb3XXdVI8JeSKJe1ODKALx2IoV0kF/77/0aHz95CDURhS910IWebrrPfksikYC4mFEoR6OtfegJqzZHhD6QtE2x2TLHhNx4OPP1C/TfC8WWXQSo1rmmseXGNMB3SzWNq+AgDjYguuJoVDe3xKE0Xjhnc3WuiqNXkccONT3pU5aI3FQOQfvtuS6t+xqw50vvR/9fvX9bVqZvMEBRu2TeKiKq23ueDZ6sB4+GgCODnUetvg+fGC64BvniTGmebB+eHJ83sBhHxgsXXM941N+9UxyoyFE/RLg9tlQsae9gELRfCiTOvGNnIN43SpWkn9PHT1Qz5OTiYOq9+H9EXUONhEMYCeKJlNWPW+yWMnL2MGQphKHAU312N1WwLINzdi0s1UzzADi+XJgaGRy5mGjtTx8/Jnekc1DmudVx8iyDTvDOvW6VO7ORfgZk/OLYsvgnnjG4OPZJRuxfkdy0MhKoNcRB77eqq9LFe2YFEHqoP3CkeO0PD7iAR+o4iBAJw68LZdDFxHQ0lFAkdnlz/zebZN5h8eZx2KIbmtfoN/ToR8YLNnG77eXfLZzp8hYE95Za0cR7UXLoUzKDDKLPOI0k34J0BcQk0I1R5B1DqbdOwVhQ377zDtBfwzvnPfRunhHYiVR9OYWp5nqK3UqqHOxLtxBn3njbABm5zIeqnx4/wZMGzsYM8ODj9T+FZn5vgsGncPsdzdjZ2t8NoUI17Gu40PrQ77QW/YDAGQ/h0PGDMLXTo4DKeZzFIn2RPHqv9w7315hBdH7iAPMiiR14pucT0Ti8OnDRksmmhy+1hdJINLttm2cgyuiZ44oittjC+PM791Wj00mKsKHOORyuphowrB+6NtgPvuhUuCydhE+OgeOlvYCCkXzuRuaIj5B52B7xuIBOGoZsWx7h5tY5nPBOFka7mxN/Yl2w1bOIRQrCc/o3A/J5rfG3bCHXkIr4pGHi1e4GNGkPOahygE7F8uNPEzXVc6BnznCTXXVIqeEofRNz6E+n8OHJw+PTry7b+4qLQ9HkcUHev3hK0dGZ2EE/SXBlDou01lHh/Y64sChvlJ10h5tMC8VxUq23bqPeEXFkRN1JXCO9MPQ1QHM23ITh/i7vc+k5RXRr0Fe+P/wzx/S8vgFATTEikkQV/jyDZNH6qfycXxAWXgBNfSzu+6W9iLaC8VEfQJgEysJnIOFQP/iMx+Uftsi9Yqcg6nbqj7LtEuuS+AceKq4CO+jiCSNbXtYNOltJeeJnjvnaAy2/1ysFCz+du6syIDV2/Zo19S5pcbi0k1Z7Qpp3paL6eV+GAzxyXmqZEJ0gusKg9ZeRxxsL0yU9X148nB84xR9tymZmZVhdaJCjcnP29rdJitVVc6B98F1JrGfGWX4abmn311wRPR9zJA+OGbScGO+JJh8NxJDgnjOiru+cqT0+2snTYq+m96JFKk2YYHinINJROPr5+C6DgADlbOybcRBdpgy5xEXdbMojMvRzfCJuGpagF2blHyOcN/Fupm0F+fAn3vYH5M5L+e0i0U7UeI6hwt+/4p2TdcxqtZt8lW+cbONHd6WNfwF4/UGnAORYS6EHBNjcjSAKjDXRvRa4qCOHzGo3ZR9BiXKju3HMMrpKjvuixzpFheqeIcvDi5LIR8zSn4vNqsKcedtC3LmA4Luu6Ga1qpd8I3GqYq1xg2Lvc5N7+o/Pm4/bpXjux8LwlxwpaFqrQb46RzE+lU/CVsfbIuvyE2aasoRSWGtTQSNjwOryoHv0B3mSj6mrOLvc2aMxYwJOofss9Cp49bIOVDMObjEZTY/G7VONZu6xsfHwprborDMbxNMT4uhzqGxLqcR+7xApOUAlJ2D3kccwk91Ea+TFn5zWXHxtC2kavLnSyQORIQl63dKacdNHiH95l12KqSF7zaFNCcu1kPphXTTAukL7kwnQj+uURErlTgTxEXYtNCOHtwHn50+JmjT8vj2HRGIqhiC3V1jfbLOwRypVxxbfk5wplfBGEt0glPPdDZaKyXIPqOooo6mbDoREeLPhrzFhNqHc+DPLMxriqDKLXuYReEc9Ie0ezph/xEgQuRPwJE0Tl0e0ryt1o4Crn70bXMGAa2WjQefr5x74NjtMOGuJHofcWDmlyoObNvCLw72TbvM8VJ8D5GRYNyFyb9fuuJk/PKzhyh53LJj9Zpqo88Rmza6OQvALjP3gWnnppr9lfL4TBBFbXYFJRevuAk9392ZJrC6II4cqJuXyqI9+8Ll+g0Au9pUD3m9nmbFv8PE6fH3bSO8vF5X6AZVJg/oz1kUY5oIK5BS5xB2p90S1bYYBmO0SVmJ9Hv6/QVHoD6X0+pUCZBqNdfh8JDmbblOtxPR2lFEY70puoFAHBx9qRbKIg5EtJyIFhDRfCKaG6YNJaLHiGhp+DlEyH8FES0josVEdJqQfnhYzzIiuo7SnsKTArbHKu00PcwN/y6ecStAnBDnzBirRWz0hbo47D2oyRiBE3ATpJzHwhSLlWx1xN9tYhEfkGHndpri1a2++sF9dYswE1Sik8Q5iG3ZxSt8EWUBcTB4l4vP5jun7W/0QJe4N5toTyUOhnzqopC0e//exw80EnMuarLNBXFRssF27rkI8R3YOE5fayUA0eFNpkfIFfEuhbSqjwnaJ+O526oxiPokuMjN1v2kJUy83tpRsGw8gs8CY4lnolQDleAcTmSMTWOM8fMILwfwBGNsMoAnwt8gooMAnA1gCoCZAG4gIj6TbgRwEYDJ4d/MCvTLDIvOQdrdeVgiWX0GhEz/PvMALyueUs+O4Fl8dQ59DLsTMY9VrCRyH2VwDkSyHPvxbx2HU4TjIAF55/v7Lx2Bw8cNgQ/UR6gGZTMhiUvhl3e1FvD4W+ulCKRRHo/3tESIOmvVVam6C0O96lpt2nVLHHACIbItMj7kf3DfBhy3nyzmVPssvgObrsqnLT6nbD5KQMyVBh7QNvGovOj/z9nTovpVnYNKRGwKaZfFl0sCKBaziSy5OK2ghKfvrPBK1RArnQ5gVvh9FoAzhPR7GGOtjLH3ACwDMIOIRgEYyBibzYKt0e1CmYrD5ucgvmTbYiuJV2wimlxyPT5YEIascMGHcxDvs6/FFyGNWMnHn8GGHMmKv0kjB2h5PiQoLU/cf6R23QZ1Vy0RB5sOKee+b56+Yot+GFNUhzhuLPWIi6iNuOpndeh5bE6QUn98iEPOTRy8DrWCzmmq7UliJRtx8GgrKRIuTysWg3HgEiOK4iLOiQcB7uSVXNXt2BxSXToHk26EQyy2fU87BjTVa3n481WJQ2dFai2XODAA/yCieUR0UZi2F2NsLQCEn3yGjwawUii7KkwbHX5X0zUQ0UVENJeI5m7cuLG0Dlt2H+Jvu7I5WUTjs2NVsa/BRn+PJca7CB8/B3G3azrYRSzvYsc5VGetNMgRJQaOq5RAUXw/JusW3h/AZdKZ3I60qbDkHydEALZzZ/Z6OXzECT7EKiIOllehFrvunEON+ZL0JA3COxhuCPXh0zagzzXT3Mvn4jDuLjGiyU+kLpfT/Bz4mOFnrcgRamOdhHXO5GSdwycO2UfpS/x99bY9GGMIbcPfk3g+B+A+mrWSKPeY0GMYY2uIaCSAx4jIpZo3PUXmSNcTGbsJwE0AMH369LKekPpOfXwYZLGSB+fgsbi89ZOZzmB4OQKWXPlRyzXS2nTBNkFziTvJ+LttB+gDcXIeM0l3Mgzact/LxcdN1MwDLzh6vLbz8hF/8aasOgeQ9GmCuMO39V3UFdk4Th+FtErkTIS6Lp88jusS3rfa9CeVhS3qo2aXr7YTJ5iiCZjaMkG18PrJ6VP1vhBFO2w75yArmkXOW322PN+1n5um9VM6dClh7HBcefpU1OUoimwsvt+2jqKmTwTi+xZjZQHdxJSVMbYm/NwA4AEAMwCsD0VFCD/5oa6rAIwVio8BsCZMH2NIrwpsD1Z8+T47aJuCzUcRKnoY2wjDsHAyNdXnrYTo2aWB2eK23X5WEaYT5wAPGTRRol7CB+KO6yMH6eHFgXiBsS0a6g4MAC7/qH7spvgekhSvSZxD0nGkHLY+ixPfR68DBOFZVIj6mh994iAc9gFdHyMupDYOWFx0TPANAaPeihaEUHgHSd75HKYuqWX3GqjHNeInwQVrqL0tMfwI/xbEMDIrpDmxnRjOnU8dOhpD+jZEc872pLTNZw645nPTcNN508PrcYb2QhENdWZuCAjMZkXitWJzciDMSqBk4kBE/YhoAP8O4CMAFgJ4CMD5YbbzATwYfn8IwNlE1EhEExAonl8ORU/NRHRkaKV0nlCm4ojFSvLLEF+mzflHVsy6J56a31aPDWfPCOjoEIe1Dj+28+11uqI0Dfjcc1mn5IVdVjnt8CaSnAiTRCIiTLsucddqM/3jVVnl3mHy9/5vofm60k8r5yBwW7ZxI97WM985AScY9C2i+egBFiu4Bg/OgS86ttft+4p1PYlCHDz0eOomK0mPYkPgBBcokl3PWJzb0VGqBp3DJXfOk/rHx1hTfQ4Dm+rx3qZAD7WhWT8bIrgPNyco/mrrKBo53WH9Ak5/1ZbdWv86A+WIlfYC8ED4EOoA3MUYe5SIXgFwHxFdCOB9AGcBAGNsERHdB+BNAB0ALmOMccH6pQBuA9AHwCPhX1UQK6Tl9JxEyS2LifD+bLv5OolzMPfBd7ADwOC+uqJKa7NM54CkBRsQLZqS9xM23YYPcY1EPZa6fTkX0TrGuggmOP/57KDzkljJnEfyufDYQdvaFYm37Z2L49JOHNzv0NeSPE34chvhrK+zL5ocPuM7R8Hz6Sgy69wkIumoW845qZyD6SAuLk5t7ShKZ1eLB0qp/RHhOma1vcCMxGHvMPLrjpYO65pUTZRMHBhj7wI4xJC+GcDJljJXAbjKkD4XgC5IrAJsCmmf3byPSafsae3euTnbyvkTh3JEPUA8SVyLAp87rmMnOc46fIwxPY2ncJISPglN9SLnYKvLzQ35tCU+s407zbtIUbxi487E+7XduyiCTLJEAuxjNGn8+Y6mpDkjW06Z86h9TBuzKSqXCw77aS8UrWHR1WROEOpzOem9iNwA38RwJ7XWjiIG9omXTXtbbs5B/L2ztcN5LHGhWHRy9dVC7/OQ5l+Udyq+O7sYwkesJOwAE2S+LvBd2ECDiZurX6WA361rDvJn4rOLE+MWifA5ES3Ja9n3XkVnNFt8piRrL/X9/e+5h2l5xN2yeFC8LY/NWktsy6b0v/rMg6PvtmCLkuOZpZ5XV+iHS8l9ib/f9RU9Ai+H+th2KsfI+swFVaxk6rOPldbabS1obu3Aqq178MTbG4x51LHDRTVqzKrF62K/FE68puwTiPFO2n+kFCTxvKPHG9vSN5/u6w/O19WssbWS+TCiaqNca6XuB75LdugcbObJ4gu2DXYfKxnXsYFRHr5j8bAOKscxDRDj4CdzDj67ONui5ONEGOsBzHX7Eoc0nIOveekQAxfnQ/DE+ic5Qotz2M75Fv1C7E6Yyb4F6xJOEpMdQu1jSx3Hk/eS780nJI06Vv54iR65tdUQqkPFo4viiAW2sBU6cQg+VZ2DqJfgm7N9R/SPLAvnroiP9fX133CJlQDzuIiIA2PGMyyqjV7LObhNWc1l1nL7LAAAEVpJREFUxRf+bcMBMkFZHxY4MUs0mXwWw3IipQLxzsxHjLLFElPKB6KMOuksZdtt+4rQRCV10s7TN4iiSZYtvktTBFRAvleT8lyFLQ6RrU5bum1c7L+X7nxog1sPJV9TiZoUqNJSj7ixufi4iZiyzyAtT1KwQV/0a5T7xzdFqs6BWwb9z9nTJFGeybLQPo7V3ypxkH//5guHQ0XMORQ1zqEzfB16H3Hw0Dn4TGA1dACHzY5dhGs3xpHkvSuiXOLwtZMmY/q4IZg5RT9aUYVN2ecD8VbsOocwr02spEzGc2aYo96Kk9ZGG65/ahkASDtBGeri5753q6gspU7IJ/KtbYyKbdn6+6Vjxnv3ZdrYwdZrSbcli5XMefp4mPkmOU76QvXzsekc+Pf99zYT0WUbksOhJD2bMUNip7eGfM7oB8KJayBWkp/B7bOXuxuoAHodceDQKLnwfZghqJgvvCyRfBTSEeeQnLdc4jB2aF/cf+nRGOSh/C5H951K52AVK8m/Lzx2gjEfEeGMaYFPhE3nwImGTdmntmV6zqLNvY8uyQc+xMTm0PgRIVaVbVykGS9JB/i44ONY6qNk95mP3zxFPzBLRT8l9EvBYq3Ev1u5AohELzmPCaJjYZOFU+ScaLHINM7hbUEvUi30OuLgo2z+5CHG6B1e8IlamiaejA+xaSxT55AG5Si/vXQO3AnOUocqAnLJ8C88diIa63LWk+t44LUBTWbVm/qeTIuqKBbx0SVVCjbnybOmx36mfRvM9+Wrozr5AHdsK5dnPwDsMzgmnD7jZv5Ks6LcJ8bWmYeZLeREqJxUIRRX1eXlaK0dkaK69HklFh01SHfaIyIcGPqq2J4jH0//9qc38MIy+ZyOjx2czOWXi16nkI50Dkq6GBWzXNPQSiA6ytGjKyMMZwiosJmXpkU5z8bvmNUgXT27IKojRfsHjxmExZbQIwAwYoD7ualNTRhm9jDn6ETa4AVVxs7hQxxe+/6p2k5bhclTWcTgvg2YOLwf3t20y8s8dodFkcw99F2qI/HZ33HhDGMelbh3CDoHzj0uWrM9OmTLapnncTN8HB+w9wA8+s3jjHn4a7BFSxYJzMLVsqOrb7TictD7iIMtZLdn+Ve/f6p10gHVMDmz92zmlL3x6KJ1+BfDedcqfn6W5pJSEsrhHDokJy7zArVlp1vhXa7Zrogk3Y8oGjhuvxGJhMmm/+gq2CLo+hD4IZZYSCLERW2ghfuKI8AmVuc84SzJmlW8J5vITSWKR4wPIgDXCWKlj1/3fHTdx6fHBl7SJSXgY9mmP3JxokmEuxLofcQh/FRlgr6Lji2AGIctAqgJEy2xjoB4srnC/v763EOxu63gpUCvFMqRYK3YHIe+ti1QSeGIKym64ZPfJwCdj39HEifS2bDtSIFADHOqcpZGWvBHcs6MD+CqM8w+rPwZ+pwFfuxks/hPxAUWvwJxXIjKXhFc0d+vIY/Xf/iRyLiiTlFIR3Va3rmPWWlsJm3PwwmHTazkY7hSTfQ+4mAxV6rUjvTAUf5mgq7pctTEYRg9uI8x0BxHfT6HQX06dwCV85zECWgNn1Fy7enBF/ykY0LFvKXi4NGDyl6M08K1a1WPnC23fuvpieGz9TmC4Dun7Z+YRz050NS+6WwEIBYrFZgcYiOf1wPvAfbF2Uc6EJ+u6FDoh5d8xEpdgV5HHDh0O+TK1Otj6skHjC0GEQCMHNiEFy4/qTKdqiCOnGgOte0DccNl25Ulig/KYPVV8DlusxYRiUa5joZ/+dqxZZWvRcRzxv7SIs7Bgzg0WZz/RBwyVveDAPw4Sk4c1Bh2QchunRuwiZV8pAN8brtEeEliJRtxd20YK4leRxysh/104pZ13LC++NeP7IczDi3dKqqrMHW0eXL6QApoZtkWJYmV+jfWYZ9BTViz3e3l64OW8EAlm0ey7JdRY9rmboLoHG4PsZJLp3PA3gPw9rpmqwWWl7NoPuYcRJhCdgN2P5H/3975x0hVXXH8c2DBhl3kl6yu/FwFjSugyGpdC2ppsSBUmmpTjAKKv7BqtWmTatU2sTbB2pr6K1HSQqq1rbVqitTWWCMm/WFF6k/AFbSmQohUqwL+qKU9/ePd5z5m5r15y7w3cx97Pslk3t65c993zsy+8+65954bzmaKWwgL0OLCwtFUG6WEmuN6Ds0lN4+TRw3hga+cULdZcX3POaTYJrRWzj4+eWBSRLh0ZvV52fsa/90j22XMmEOKLvuhrS2ZOIcwNcKU0ZUd3h7rMjLssSSRNE7gG2lCRrOPPIiN23bUPB6z+rLpie4lTQjm47BSyW+sdBHcx/Vjeothz2FOwnTS0CZtQyqPf0CP5rgIQvQadc3cIzh/xiGxbeVBn3MOIaX/6lk6h+u/MLl6pT5ImpTT9cw+2XHw/vzqoi6mjq28CnjPfFvxuq6ZewSPd1dO9tYbHvv6SQxNuNP0jTQho8tmTmDxCeMYmrAvyYJjx/Dkq28lnqtauLaWnF/hmEPpGqhq+3wkrWkKfy/Dm6t/n0mOc2JrC5u270oVlsuaPrgIrnK5BQ3yJ5oGIXa2UgrnMCPFrJa0HNc+PHY8ISqxUtbMkPNnHMI95x9fs5ZDR7YwIuVeyz4QhuVK92SI0q+fJDoGgGWnT+Hxb5xck5behJVKaXLrHDZv35XqXMsXdnLe9HbGJuynHqpJuqjv+CDIYpvkHD7tFiKmyUybNX3PObjnvAakfePOhdO4PmaaYb2JTsuN+0c98bAD3HPl3FUAF9Ste13MH8Wggf35ZPvw3M+z88Pg4jYkg95O2g2G4kjTc4ibZRSk7P7fx7u7VWNCawvXzutI1Bz2UpJmue34MFj0l+QcwlNUG4vLgz4XVpoz6SAOO7ClbBCy1h+nr8RN/est91/cFTtwm5Zozvy49SITWgfz2rK5ie3U67uKnqarhllaWXLLmVN5K2ZToZAN182ui5YvHjOKe9e+zoJjG7/4L80gbXyUSNj54W4uvHtdZnoWdo1j6zsfcMGJ8Tcy4SyluEV70PO5erN+Kiv6nHMYN6KZcQlpEL4cyU1j9DBtXO13otGwUi3ZXQGeuvozqfL810I0VHFXTEqGenNanaYxpmH0sEHeTLdOc78wdcxQvj2vg3lH7TmQ/NhLb5TVXV3j1ONBA5u4bn5yj338iGY2b99Fc8wMLOjZKzxp2nteeOMcRGQ2cDPQH/ixqi6rt4bu62enSrltVOa+pV2Jsd8rPjuRi+/5Wybnah2cnNcnC6KfpNZ1Dka+pOlNighLKmTxLQ1JVeu5ZsWNZ0zhwWe2MmnU/rF1Pj+ljU809ePkFMkHs8YL5yAi/YHbgVnAFmCtiKxS1Q311FFr2KSvE+aqiSOc+teIu6C9oZ5pSYza+fXSrr0a/0izFW8eDGseWNFZRRERTskoNNxbfLkdOg7YrKqvqupHwC+B+Q3WZOTA6sums6bGmSn1ItxHIM1WrUbj6Rw/nIm92OUu5KLIuMCpkxtzIfYRL3oOwCjg9cjfW4D4nc2NwlLLCut6M6B/P66d11GXmT9G45gzuY3Xls3l72++x0FV0pD3JXxxDpUChmXD8yJyIXAhwNixjZ8hYez7xO00Z+x7tCdkSe6L+NJf3gJEpwmNBspWHanqclXtVNXOkSPj58EbhmEYteGLc1gLTBSRdhEZCCwAVjVYk2EYRp/Fi7CSqu4WkUuBRwimsq5Q1fUNlmUYhtFn8cI5AKjqw8DDjdZhGIZh+BNWMgzDMDzCnINhGIZRhjkHwzAMowxzDoZhGEYZUrr7UVEQkZ1Ad8zLY4F/VGliCPCuJ3WKphf80lw0vWnrZKE5zXmyasdsnH+dLPQerqrV84yoaiEfwNMJr/0zxfuX+1KnaHp901w0vfXUnOY8ZuO62MYnvbHXzuhjXw0rvZOizkMe1SmaXvBLc9H0pq2TheY058mqHbNx/nWysnFVihxWelpVO3v7mo8UTS8UT3PR9ELxNBdNLxRPcxZ607ZR5J7D8r18zUeKpheKp7loeqF4moumF4qnOQu9qdoobM/BMAzDyI8i9xwMwzCMnCiEcxCRFSKyXURejJQdJSJ/EZEXROQhEdnflQ8UkZWu/DkROTnynmmufLOI3CJpNp5tvOY1ItItIs+6Ry6byYrIGBF5XEQ2ish6EbnclQ8XkUdFZJN7HhZ5z1XOlt0i8rlIee52zlivlzYWkRGu/i4Rua2kLe9sXEWvrzaeJSLrnC3XicjMSFs+2jhJb7Y2TjOlqdEP4ETgGODFSNla4CR3vAT4rju+BFjpjluBdUA/9/dTQBfB5kK/A+YUQPMaoLMONm4DjnHHg4GXgQ7g+8CVrvxK4AZ33AE8B+wHtAOvAP3rZeeM9fpq42ZgOrAUuK2kLR9tnKTXVxtPBQ52x5OArZ7bOElvpjbO9YvK2Ijj2fNCu4OeMZMxwAZ3fDtwdqTeYwR7VLcBL0XKzwTu9FlzHl94L7T/BphFsNCwzZW1Ad3u+Crgqkj9R9w/Ut3tXIten20cqXcOkYutrzaO01sEG7tyAd4iuIHw2salevOwcSHCSjG8CJzmjr9Ez05yzwHzRaRJRNqBae61UQQ7zoVscWX1pLeaQ1a6buK1eXRtSxGR8QR3KH8FDlTVbQDuOeyqVtr3exQNsHONekN8tHEcvtq4Gr7b+HTgGVX9N8WwcVRvSGY2LrJzWAJcIiLrCLpjH7nyFQRf5NPAj4A/A7tJuU91zvRWM8BZqjoZmOEeC/MUKCItwP3AFaq6I6lqhTJNKM+FDPSCvzaObaJCmQ82TsJrG4vIkcANwEVhUYVq3ti4gl7I2MaFdQ6q+pKqnqKq04BfEMSQUdXdqvo1VT1aVecDQ4FNBBff0ZEmKu5T7ZlmVHWre94J/JwgRJYLIjKA4Ad6j6o+4IrfEJE293obsN2Vx+37XTc7Z6TXZxvH4auNY/HZxiIyGngQWKSqr7hib20cozdzGxfWOYQj8SLSD7gGuMP9PUhEmt3xLGC3qm5wXbOdInK8624tIojveavZhZkOcOUDgHkEoak8tAnwE2Cjqt4UeWkVsNgdL6bHZquABSKynwuFTQSeqpeds9LruY0r4rGN49rx1sYiMhT4LcF41J/Cyr7aOE5vLjbOe4AliwfBXfY24D8EHv084HKCkf2XgWX0DPSOJxjM2Qj8ARgXaafTGewV4LbwPb5qJpj9sQ54HlgP3IybYZOD3ukE3ebngWfd41RgBMEA+Sb3PDzynqudLbuJzOSoh52z0lsAG78G/AvY5X5HHZ7buEyvzzYmuEl7L1L3WaDVVxvH6c3DxrZC2jAMwyijsGElwzAMIz/MORiGYRhlmHMwDMMwyjDnYBiGYZRhzsEwDMMow5yDYeSAiCwVkUW9qD9eIhl8DaPRNDVagGHsa4hIk6re0WgdhlEL5hwMowIuCdrvCZKgTSVYuLgIOAK4CWgB3gTOUdVtIrKGICfWp4BVIjIY2KWqPxCRowlWww8iWFC1RFXfFpFpBHm13gf+WL9PZxjVsbCSYcRzOLBcVacQpFu/BLgVOEOD/FgrgO9F6g9V1ZNU9Ycl7dwFfNO18wLwHVe+Eviqqnbl+SEMY2+wnoNhxPO69uSv+RnwLYINVh512ZD7E6RICbm3tAERGULgNJ5wRT8F7qtQfjcwJ/uPYBh7hzkHw4inNLfMTmB9wp3+e71oWyq0bxjeYGElw4hnrIiEjuBM4ElgZFgmIgNcXv1YVPVd4G0RmeGKFgJPqOo7wLsiMt2Vn5W9fMPYe6znYBjxbAQWi8idBNkxbyXYXvQWFxZqIticaX2VdhYDd4jIIOBV4FxXfi6wQkTed+0ahjdYVlbDqICbrbRaVSc1WIphNAQLKxmGYRhlWM/BMAzDKMN6DoZhGEYZ5hwMwzCMMsw5GIZhGGWYczAMwzDKMOdgGIZhlGHOwTAMwyjj/7cKbsqzvP7VAAAAAElFTkSuQmCC\n", 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Le creux des incidences se trouve en été." + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": { + "hideCode": false, + "hidePrompt": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 22, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "sorted_data['inc'][-200:].plot()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "hideCode": false, + "hidePrompt": false + }, + "source": [ + "## Etude de l'incidence annuelle" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "hideCode": false, + "hidePrompt": false + }, + "source": [ + "Etant donné que le pic de l'épidémie se situe en hiver, à cheval\n", + "entre deux années civiles, nous définissons la période de référence\n", + "entre deux minima de l'incidence, du 1er août de l'année $N$ au\n", + "1er août de l'année $N+1$.\n", + "\n", + "Notre tâche est un peu compliquée par le fait que l'année ne comporte\n", + "pas un nombre entier de semaines. Nous modifions donc un peu nos périodes\n", + "de référence: à la place du 1er août de chaque année, nous utilisons le\n", + "premier jour de la semaine qui contient le 1er août.\n", + "\n", + "Comme l'incidence de syndrome grippal est très faible en été, cette\n", + "modification ne risque pas de fausser nos conclusions.\n", + "\n", + "Encore un petit détail: les données commencent an octobre 1984, ce qui\n", + "rend la première année incomplète. Nous commençons donc l'analyse en 1985." + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": { + "hideCode": false, + "hidePrompt": false + }, + "outputs": [], + "source": [ + "first_august_week = [pd.Period(pd.Timestamp(y, 8, 1), 'W')\n", + " for y in range(1985,\n", + " sorted_data.index[-1].year)]" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "hideCode": false, + "hidePrompt": false + }, + "source": [ + "En partant de cette liste des semaines qui contiennent un 1er août, nous obtenons nos intervalles d'environ un an comme les périodes entre deux semaines adjacentes dans cette liste. Nous calculons les sommes des incidences hebdomadaires pour toutes ces périodes.\n", + "\n", + "Nous vérifions également que ces périodes contiennent entre 51 et 52 semaines, pour nous protéger contre des éventuelles erreurs dans notre code." + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": { + "hideCode": false, + "hidePrompt": false + }, + "outputs": [ + { + "ename": "AssertionError", + "evalue": "", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mAssertionError\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[1;32m 4\u001b[0m first_august_week[1:]):\n\u001b[1;32m 5\u001b[0m \u001b[0mone_year\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0msorted_data\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m'inc'\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mweek1\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0mweek2\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 6\u001b[0;31m \u001b[0;32massert\u001b[0m \u001b[0mabs\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mlen\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mone_year\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m52\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;34m<\u001b[0m \u001b[0;36m2\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 7\u001b[0m \u001b[0myearly_incidence\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mappend\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mone_year\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0msum\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 8\u001b[0m \u001b[0myear\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mappend\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mweek2\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0myear\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;31mAssertionError\u001b[0m: " + ] + } + ], + "source": [ + "year = []\n", + "yearly_incidence = []\n", + "for week1, week2 in zip(first_august_week[:-1],\n", + " first_august_week[1:]):\n", + " one_year = sorted_data['inc'][week1:week2-1]\n", + " assert abs(len(one_year)-52) < 2\n", + " yearly_incidence.append(one_year.sum())\n", + " year.append(week2.year)\n", + "yearly_incidence = pd.Series(data=yearly_incidence, index=year)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "hideCode": false, + "hidePrompt": false + }, + "source": [ + "Voici les incidences annuelles." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "hideCode": false, + "hidePrompt": false + }, + "outputs": [], + "source": [ + "yearly_incidence.plot(style='*')" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "hideCode": false, + "hidePrompt": false + }, + "source": [ + "Une liste triée permet de plus facilement répérer les valeurs les plus élevées (à la fin)." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "hideCode": false, + "hidePrompt": false + }, + "outputs": [], + "source": [ + "yearly_incidence.sort_values()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "hideCode": false, + "hidePrompt": false + }, + "source": [ + "Enfin, un histogramme montre bien que les épidémies fortes, qui touchent environ 10% de la population\n", + " française, sont assez rares: il y en eu trois au cours des 35 dernières années." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "hideCode": false, + "hidePrompt": false + }, + "outputs": [], + "source": [ + "yearly_incidence.hist(xrot=20)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "hideCode": false, + "hidePrompt": false + }, + "outputs": [], + "source": [] + } + ], "metadata": { + "hide_code_all_hidden": false, "kernelspec": { "display_name": "Python 3", "language": "python", @@ -16,10 +2547,9 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.6.3" + "version": "3.6.4" } }, "nbformat": 4, - "nbformat_minor": 2 + "nbformat_minor": 1 } -