{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "# Des dates qui font des nombres premiers ?\n",
    "\n",
    "Ce petit [notebook Jupyter](https://www.jupyter.org/), écrit en [Python](https://www.python.org/), a pour but de résoudre la question suivante :\n",
    "\n",
    "> *\"En 2017, combien de jours ont leur date qui est un nombre premier ?\"*\n",
    "\n",
    "Par exemple, en 2017, le 23 février donne `23022017` est premier, mais le 24 février donne `24022017` qui ne l'est pas.\n",
    "On veut trouver toutes les dates en 2017 qui sont des nombres premiers."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "----\n",
    "## 1. Il faut bien poser le problème\n",
    "- *Q:* Qu'entends-on par *\"date qui est un nombre premier\"* ?\n",
    "  - Ça dépend de l'écriture de la date, que ce soit `12012017` pour le 12 janvier ou `01122017`.\n",
    "  - Dans le doute, la solution présentée ici sera adaptable aux deux cas.\n",
    "- *Q:* Pourquoi se restreindre à 2017 ?\n",
    "  - Parce que j'écris ce document en 2017...\n",
    "  - Parce que c'est un nombre impair, et donc un nombre de la forme `12012017` a une chance d'être premier !\n",
    "  - Mais dans le doute, la solution présentée ici sera adaptable à n'importe quelle année.\n",
    "- *Q:* Quelles années ont le plus de dates premières ?\n",
    "- *Q:* Est-ce qu'on peut inverser la question et chercher quel jour donne le plus de dates premières ?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "----\n",
    "## 2. Une première solution, naïve\n",
    "- On va d'abord écrire (ou importer) une fonction pour tester si un entier est premier,\n",
    "- Puis on va écrire une fonction qui transforme une date en son nombre,\n",
    "- Et enfin une boucle sur les 365 (ou 366) jours de l'année suffira à afficher les jours ayant une date première."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "### 2.1. Tester la primalité, version tricheur\n",
    "[`sympy`](http://www.sympy.org/) propose une fonction [`sympy.isprime`](http://docs.sympy.org/latest/modules/ntheory.html#sympy.ntheory.primetest.isprime)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "from sympy import isprime"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "Elle marche très bien, et est très rapide !"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true,
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[True, True, True, True, False, True, True, True, True]"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "[isprime(i) for i in [2, 3, 5, 7, 10, 11, 13, 17, 2017]]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "Pour des nombres de 8 chiffres (c'est tout petit), elle est vraiment rapide :"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true,
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "10 loops, best of 3: 64.8 ms per loop\n"
     ]
    }
   ],
   "source": [
    "from numpy.random import randint\n",
    "%timeit sum([isprime(i) for i in randint(1e8, 1e9-1, 10**4)])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "$\\implies$ $65 ~\\text{ms}$ pour 10000 nombres à tester, ça me semble assez rapide pour ce qu'on veut en faire !"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true,
    "deletable": true,
    "editable": true
   },
   "source": [
    "----\n",
    "### 2.2. Transformer une date en nombre\n",
    "On va utiliser le module [`datetime`](https://docs.python.org/3/library/datetime.html) de la bibliothèque standard :"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "from datetime import datetime"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "On va travailler avec l'année 2017 !\n"
     ]
    }
   ],
   "source": [
    "today = datetime.today()\n",
    "YEAR = today.year\n",
    "print(\"On va travailler avec l'année\", YEAR, \"!\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "C'est ensuite facile de transformer une date en nombre, selon les deux formats.\n",
    "On utilise [le formatage avec `.format()`](https://pyformat.info/#datetime) (en Python 3) :"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": true,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "def date_vers_nombre(date):\n",
    "    return int(\"{:%d%m%Y}\".format(date))\n",
    "\n",
    "def date_vers_nombre_2(date):\n",
    "    return int(\"{:%m%d%Y}\".format(date))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "12012017\n",
      "1122017\n"
     ]
    }
   ],
   "source": [
    "date = datetime(YEAR, 1, 12)\n",
    "print(date_vers_nombre(date))\n",
    "print(date_vers_nombre_2(date))  # Le 0 initial est ignoré"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "### 2.3. Tester tous les jours de l'année"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true,
    "deletable": true,
    "editable": true
   },
   "source": [
    "On peut partir du 1er janvier de cette année, et ajouter des jours un par un.\n",
    "On utilise un itérateur (avec le mot clé `yield`), pour pouvoir facilement boucler sur tous les jours de l'année en cours :"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true,
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "from datetime import timedelta\n",
    "\n",
    "def tous_les_jours(year=YEAR):\n",
    "    date = datetime(year, 1, 1)\n",
    "    un_jour = timedelta(days=1)\n",
    "    for i in range(0, 366):\n",
    "        yield date\n",
    "        date += un_jour\n",
    "        if date.year > year:  # On est allé trop loin\n",
    "            raise StopIteration"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "On peut vérifier que ça donne ce qu'on voulait :"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true,
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Le jour 01/01/2017 donne l'entier  1012017 au format jour-mois-année et  1012017 au format mois-jour-année.\n",
      "Le jour 02/01/2017 donne l'entier  2012017 au format jour-mois-année et  1022017 au format mois-jour-année.\n",
      "Le jour 03/01/2017 donne l'entier  3012017 au format jour-mois-année et  1032017 au format mois-jour-année.\n",
      "Le jour 04/01/2017 donne l'entier  4012017 au format jour-mois-année et  1042017 au format mois-jour-année.\n",
      "Le jour 05/01/2017 donne l'entier  5012017 au format jour-mois-année et  1052017 au format mois-jour-année.\n",
      "Le jour 06/01/2017 donne l'entier  6012017 au format jour-mois-année et  1062017 au format mois-jour-année.\n",
      "Le jour 07/01/2017 donne l'entier  7012017 au format jour-mois-année et  1072017 au format mois-jour-année.\n",
      "Le jour 08/01/2017 donne l'entier  8012017 au format jour-mois-année et  1082017 au format mois-jour-année.\n",
      "Le jour 09/01/2017 donne l'entier  9012017 au format jour-mois-année et  1092017 au format mois-jour-année.\n",
      "Le jour 10/01/2017 donne l'entier 10012017 au format jour-mois-année et  1102017 au format mois-jour-année.\n",
      "Le jour 11/01/2017 donne l'entier 11012017 au format jour-mois-année et  1112017 au format mois-jour-année.\n",
      "Le jour 12/01/2017 donne l'entier 12012017 au format jour-mois-année et  1122017 au format mois-jour-année.\n",
      "Le jour 13/01/2017 donne l'entier 13012017 au format jour-mois-année et  1132017 au format mois-jour-année.\n",
      "Le jour 14/01/2017 donne l'entier 14012017 au format jour-mois-année et  1142017 au format mois-jour-année.\n",
      "Le jour 15/01/2017 donne l'entier 15012017 au format jour-mois-année et  1152017 au format mois-jour-année.\n",
      "Le jour 16/01/2017 donne l'entier 16012017 au format jour-mois-année et  1162017 au format mois-jour-année.\n",
      "Le jour 17/01/2017 donne l'entier 17012017 au format jour-mois-année et  1172017 au format mois-jour-année.\n",
      "Le jour 18/01/2017 donne l'entier 18012017 au format jour-mois-année et  1182017 au format mois-jour-année.\n",
      "Le jour 19/01/2017 donne l'entier 19012017 au format jour-mois-année et  1192017 au format mois-jour-année.\n",
      "Le jour 20/01/2017 donne l'entier 20012017 au format jour-mois-année et  1202017 au format mois-jour-année.\n",
      "Le jour 21/01/2017 donne l'entier 21012017 au format jour-mois-année et  1212017 au format mois-jour-année.\n",
      "Le jour 22/01/2017 donne l'entier 22012017 au format jour-mois-année et  1222017 au format mois-jour-année.\n",
      "Le jour 23/01/2017 donne l'entier 23012017 au format jour-mois-année et  1232017 au format mois-jour-année.\n",
      "Le jour 24/01/2017 donne l'entier 24012017 au format jour-mois-année et  1242017 au format mois-jour-année.\n",
      "Le jour 25/01/2017 donne l'entier 25012017 au format jour-mois-année et  1252017 au format mois-jour-année.\n",
      "Le jour 26/01/2017 donne l'entier 26012017 au format jour-mois-année et  1262017 au format mois-jour-année.\n",
      "Le jour 27/01/2017 donne l'entier 27012017 au format jour-mois-année et  1272017 au format mois-jour-année.\n",
      "Le jour 28/01/2017 donne l'entier 28012017 au format jour-mois-année et  1282017 au format mois-jour-année.\n",
      "Le jour 29/01/2017 donne l'entier 29012017 au format jour-mois-année et  1292017 au format mois-jour-année.\n",
      "Le jour 30/01/2017 donne l'entier 30012017 au format jour-mois-année et  1302017 au format mois-jour-année.\n",
      "Le jour 31/01/2017 donne l'entier 31012017 au format jour-mois-année et  1312017 au format mois-jour-année.\n",
      "Le jour 01/02/2017 donne l'entier  1022017 au format jour-mois-année et  2012017 au format mois-jour-année.\n",
      "Le jour 02/02/2017 donne l'entier  2022017 au format jour-mois-année et  2022017 au format mois-jour-année.\n",
      "Le jour 03/02/2017 donne l'entier  3022017 au format jour-mois-année et  2032017 au format mois-jour-année.\n",
      "Le jour 04/02/2017 donne l'entier  4022017 au format jour-mois-année et  2042017 au format mois-jour-année.\n",
      "Le jour 05/02/2017 donne l'entier  5022017 au format jour-mois-année et  2052017 au format mois-jour-année.\n",
      "Le jour 06/02/2017 donne l'entier  6022017 au format jour-mois-année et  2062017 au format mois-jour-année.\n",
      "Le jour 07/02/2017 donne l'entier  7022017 au format jour-mois-année et  2072017 au format mois-jour-année.\n",
      "Le jour 08/02/2017 donne l'entier  8022017 au format jour-mois-année et  2082017 au format mois-jour-année.\n",
      "Le jour 09/02/2017 donne l'entier  9022017 au format jour-mois-année et  2092017 au format mois-jour-année.\n",
      "Le jour 10/02/2017 donne l'entier 10022017 au format jour-mois-année et  2102017 au format mois-jour-année.\n",
      "Le jour 11/02/2017 donne l'entier 11022017 au format jour-mois-année et  2112017 au format mois-jour-année.\n",
      "Le jour 12/02/2017 donne l'entier 12022017 au format jour-mois-année et  2122017 au format mois-jour-année.\n",
      "Le jour 13/02/2017 donne l'entier 13022017 au format jour-mois-année et  2132017 au format mois-jour-année.\n",
      "Le jour 14/02/2017 donne l'entier 14022017 au format jour-mois-année et  2142017 au format mois-jour-année.\n",
      "Le jour 15/02/2017 donne l'entier 15022017 au format jour-mois-année et  2152017 au format mois-jour-année.\n",
      "Le jour 16/02/2017 donne l'entier 16022017 au format jour-mois-année et  2162017 au format mois-jour-année.\n",
      "Le jour 17/02/2017 donne l'entier 17022017 au format jour-mois-année et  2172017 au format mois-jour-année.\n",
      "Le jour 18/02/2017 donne l'entier 18022017 au format jour-mois-année et  2182017 au format mois-jour-année.\n",
      "Le jour 19/02/2017 donne l'entier 19022017 au format jour-mois-année et  2192017 au format mois-jour-année.\n",
      "Le jour 20/02/2017 donne l'entier 20022017 au format jour-mois-année et  2202017 au format mois-jour-année.\n",
      "Le jour 21/02/2017 donne l'entier 21022017 au format jour-mois-année et  2212017 au format mois-jour-année.\n",
      "Le jour 22/02/2017 donne l'entier 22022017 au format jour-mois-année et  2222017 au format mois-jour-année.\n",
      "Le jour 23/02/2017 donne l'entier 23022017 au format jour-mois-année et  2232017 au format mois-jour-année.\n",
      "Le jour 24/02/2017 donne l'entier 24022017 au format jour-mois-année et  2242017 au format mois-jour-année.\n",
      "Le jour 25/02/2017 donne l'entier 25022017 au format jour-mois-année et  2252017 au format mois-jour-année.\n",
      "Le jour 26/02/2017 donne l'entier 26022017 au format jour-mois-année et  2262017 au format mois-jour-année.\n",
      "Le jour 27/02/2017 donne l'entier 27022017 au format jour-mois-année et  2272017 au format mois-jour-année.\n",
      "Le jour 28/02/2017 donne l'entier 28022017 au format jour-mois-année et  2282017 au format mois-jour-année.\n",
      "Le jour 01/03/2017 donne l'entier  1032017 au format jour-mois-année et  3012017 au format mois-jour-année.\n",
      "Le jour 02/03/2017 donne l'entier  2032017 au format jour-mois-année et  3022017 au format mois-jour-année.\n",
      "Le jour 03/03/2017 donne l'entier  3032017 au format jour-mois-année et  3032017 au format mois-jour-année.\n",
      "Le jour 04/03/2017 donne l'entier  4032017 au format jour-mois-année et  3042017 au format mois-jour-année.\n",
      "Le jour 05/03/2017 donne l'entier  5032017 au format jour-mois-année et  3052017 au format mois-jour-année.\n",
      "Le jour 06/03/2017 donne l'entier  6032017 au format jour-mois-année et  3062017 au format mois-jour-année.\n",
      "Le jour 07/03/2017 donne l'entier  7032017 au format jour-mois-année et  3072017 au format mois-jour-année.\n",
      "Le jour 08/03/2017 donne l'entier  8032017 au format jour-mois-année et  3082017 au format mois-jour-année.\n",
      "Le jour 09/03/2017 donne l'entier  9032017 au format jour-mois-année et  3092017 au format mois-jour-année.\n",
      "Le jour 10/03/2017 donne l'entier 10032017 au format jour-mois-année et  3102017 au format mois-jour-année.\n",
      "Le jour 11/03/2017 donne l'entier 11032017 au format jour-mois-année et  3112017 au format mois-jour-année.\n",
      "Le jour 12/03/2017 donne l'entier 12032017 au format jour-mois-année et  3122017 au format mois-jour-année.\n",
      "Le jour 13/03/2017 donne l'entier 13032017 au format jour-mois-année et  3132017 au format mois-jour-année.\n",
      "Le jour 14/03/2017 donne l'entier 14032017 au format jour-mois-année et  3142017 au format mois-jour-année.\n",
      "Le jour 15/03/2017 donne l'entier 15032017 au format jour-mois-année et  3152017 au format mois-jour-année.\n",
      "Le jour 16/03/2017 donne l'entier 16032017 au format jour-mois-année et  3162017 au format mois-jour-année.\n",
      "Le jour 17/03/2017 donne l'entier 17032017 au format jour-mois-année et  3172017 au format mois-jour-année.\n",
      "Le jour 18/03/2017 donne l'entier 18032017 au format jour-mois-année et  3182017 au format mois-jour-année.\n",
      "Le jour 19/03/2017 donne l'entier 19032017 au format jour-mois-année et  3192017 au format mois-jour-année.\n",
      "Le jour 20/03/2017 donne l'entier 20032017 au format jour-mois-année et  3202017 au format mois-jour-année.\n",
      "Le jour 21/03/2017 donne l'entier 21032017 au format jour-mois-année et  3212017 au format mois-jour-année.\n",
      "Le jour 22/03/2017 donne l'entier 22032017 au format jour-mois-année et  3222017 au format mois-jour-année.\n",
      "Le jour 23/03/2017 donne l'entier 23032017 au format jour-mois-année et  3232017 au format mois-jour-année.\n",
      "Le jour 24/03/2017 donne l'entier 24032017 au format jour-mois-année et  3242017 au format mois-jour-année.\n",
      "Le jour 25/03/2017 donne l'entier 25032017 au format jour-mois-année et  3252017 au format mois-jour-année.\n",
      "Le jour 26/03/2017 donne l'entier 26032017 au format jour-mois-année et  3262017 au format mois-jour-année.\n",
      "Le jour 27/03/2017 donne l'entier 27032017 au format jour-mois-année et  3272017 au format mois-jour-année.\n",
      "Le jour 28/03/2017 donne l'entier 28032017 au format jour-mois-année et  3282017 au format mois-jour-année.\n",
      "Le jour 29/03/2017 donne l'entier 29032017 au format jour-mois-année et  3292017 au format mois-jour-année.\n",
      "Le jour 30/03/2017 donne l'entier 30032017 au format jour-mois-année et  3302017 au format mois-jour-année.\n",
      "Le jour 31/03/2017 donne l'entier 31032017 au format jour-mois-année et  3312017 au format mois-jour-année.\n",
      "Le jour 01/04/2017 donne l'entier  1042017 au format jour-mois-année et  4012017 au format mois-jour-année.\n",
      "Le jour 02/04/2017 donne l'entier  2042017 au format jour-mois-année et  4022017 au format mois-jour-année.\n",
      "Le jour 03/04/2017 donne l'entier  3042017 au format jour-mois-a"
     ]
    },
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   "source": [
    "for date in tous_les_jours():\n",
    "    print(\"Le jour {:%d/%m/%Y} donne l'entier {:>8} au format jour-mois-année et {:>8} au format mois-jour-année.\".format(date, date_vers_nombre(date), date_vers_nombre_2(date)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "Maintenant, il suffit de boucler, de tester si l'entier est premier, et de n'afficher que ceux qui le sont :"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": true,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "def date_premieres(conversion=date_vers_nombre, year=YEAR):\n",
    "    for date in tous_les_jours(year):\n",
    "        if isprime(conversion(date)):\n",
    "            yield date"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "On peut aussi facilement trouver la prochaine date qui sera première :"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": true,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "def prochaine_date_premiere(date=datetime.today(), conversion=date_vers_nombre):\n",
    "    year = date.year\n",
    "    un_jour = timedelta(days=1)\n",
    "    for i in range(0, 366):\n",
    "        if isprime(conversion(date)):\n",
    "            return date\n",
    "        date += un_jour\n",
    "        if date.year > year:  # On est allé trop loin\n",
    "            return None\n",
    "    return None"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Pour le jour d'aujourd'hui (02/24/17), le prochain jour ayant une date première dans l'année 2017 est : 03/06/17 !\n"
     ]
    }
   ],
   "source": [
    "date = datetime.today()\n",
    "prochain = prochaine_date_premiere(date)\n",
    "print(\"Pour le jour d'aujourd'hui ({:%x}), le prochain jour ayant une date première dans l'année {} est : {:%x} !\".format(date, date.year, prochain))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "#### Pour les dates écrites \"jour mois année\" :"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true,
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Le jour 03/01/2017 donne l'entier  3012017 qui est premier !\n",
      "Le jour 11/01/2017 donne l'entier 11012017 qui est premier !\n",
      "Le jour 12/01/2017 donne l'entier 12012017 qui est premier !\n",
      "Le jour 18/01/2017 donne l'entier 18012017 qui est premier !\n",
      "Le jour 27/01/2017 donne l'entier 27012017 qui est premier !\n",
      "Le jour 29/01/2017 donne l'entier 29012017 qui est premier !\n",
      "Le jour 01/02/2017 donne l'entier  1022017 qui est premier !\n",
      "Le jour 02/02/2017 donne l'entier  2022017 qui est premier !\n",
      "Le jour 04/02/2017 donne l'entier  4022017 qui est premier !\n",
      "Le jour 08/02/2017 donne l'entier  8022017 qui est premier !\n",
      "Le jour 10/02/2017 donne l'entier 10022017 qui est premier !\n",
      "Le jour 17/02/2017 donne l'entier 17022017 qui est premier !\n",
      "Le jour 20/02/2017 donne l'entier 20022017 qui est premier !\n",
      "Le jour 23/02/2017 donne l'entier 23022017 qui est premier !\n",
      "Le jour 06/03/2017 donne l'entier  6032017 qui est premier !\n",
      "Le jour 09/03/2017 donne l'entier  9032017 qui est premier !\n",
      "Le jour 10/03/2017 donne l'entier 10032017 qui est premier !\n",
      "Le jour 13/03/2017 donne l'entier 13032017 qui est premier !\n",
      "Le jour 18/03/2017 donne l'entier 18032017 qui est premier !\n",
      "Le jour 27/03/2017 donne l'entier 27032017 qui est premier !\n",
      "Le jour 31/03/2017 donne l'entier 31032017 qui est premier !\n",
      "Le jour 02/04/2017 donne l'entier  2042017 qui est premier !\n",
      "Le jour 08/04/2017 donne l'entier  8042017 qui est premier !\n",
      "Le jour 17/04/2017 donne l'entier 17042017 qui est premier !\n",
      "Le jour 21/04/2017 donne l'entier 21042017 qui est premier !\n",
      "Le jour 23/04/2017 donne l'entier 23042017 qui est premier !\n",
      "Le jour 24/04/2017 donne l'entier 24042017 qui est premier !\n",
      "Le jour 26/04/2017 donne l'entier 26042017 qui est premier !\n",
      "Le jour 27/04/2017 donne l'entier 27042017 qui est premier !\n",
      "Le jour 08/05/2017 donne l'entier  8052017 qui est premier !\n",
      "Le jour 10/05/2017 donne l'entier 10052017 qui est premier !\n",
      "Le jour 11/05/2017 donne l'entier 11052017 qui est premier !\n",
      "Le jour 31/05/2017 donne l'entier 31052017 qui est premier !\n",
      "Le jour 09/06/2017 donne l'entier  9062017 qui est premier !\n",
      "Le jour 13/06/2017 donne l'entier 13062017 qui est premier !\n",
      "Le jour 21/06/2017 donne l'entier 21062017 qui est premier !\n",
      "Le jour 22/06/2017 donne l'entier 22062017 qui est premier !\n",
      "Le jour 25/06/2017 donne l'entier 25062017 qui est premier !\n",
      "Le jour 28/06/2017 donne l'entier 28062017 qui est premier !\n",
      "Le jour 14/07/2017 donne l'entier 14072017 qui est premier !\n",
      "Le jour 15/07/2017 donne l'entier 15072017 qui est premier !\n",
      "Le jour 17/07/2017 donne l'entier 17072017 qui est premier !\n",
      "Le jour 21/07/2017 donne l'entier 21072017 qui est premier !\n",
      "Le jour 01/08/2017 donne l'entier  1082017 qui est premier !\n",
      "Le jour 07/08/2017 donne l'entier  7082017 qui est premier !\n",
      "Le jour 08/08/2017 donne l'entier  8082017 qui est premier !\n",
      "Le jour 17/08/2017 donne l'entier 17082017 qui est premier !\n",
      "Le jour 19/08/2017 donne l'entier 19082017 qui est premier !\n",
      "Le jour 22/08/2017 donne l'entier 22082017 qui est premier !\n",
      "Le jour 28/08/2017 donne l'entier 28082017 qui est premier !\n",
      "Le jour 31/08/2017 donne l'entier 31082017 qui est premier !\n",
      "Le jour 03/09/2017 donne l'entier  3092017 qui est premier !\n",
      "Le jour 16/09/2017 donne l'entier 16092017 qui est premier !\n",
      "Le jour 21/09/2017 donne l'entier 21092017 qui est premier !\n",
      "Le jour 27/09/2017 donne l'entier 27092017 qui est premier !\n",
      "Le jour 30/09/2017 donne l'entier 30092017 qui est premier !\n",
      "Le jour 03/10/2017 donne l'entier  3102017 qui est premier !\n",
      "Le jour 12/10/2017 donne l'entier 12102017 qui est premier !\n",
      "Le jour 24/10/2017 donne l'entier 24102017 qui est premier !\n",
      "Le jour 26/10/2017 donne l'entier 26102017 qui est premier !\n",
      "Le jour 27/10/2017 donne l'entier 27102017 qui est premier !\n",
      "Le jour 01/11/2017 donne l'entier  1112017 qui est premier !\n",
      "Le jour 02/11/2017 donne l'entier  2112017 qui est premier !\n",
      "Le jour 05/11/2017 donne l'entier  5112017 qui est premier !\n",
      "Le jour 14/11/2017 donne l'entier 14112017 qui est premier !\n",
      "Le jour 16/11/2017 donne l'entier 16112017 qui est premier !\n",
      "Le jour 22/11/2017 donne l'entier 22112017 qui est premier !\n",
      "Le jour 03/12/2017 donne l'entier  3122017 qui est premier !\n",
      "Le jour 22/12/2017 donne l'entier 22122017 qui est premier !\n",
      "Le jour 24/12/2017 donne l'entier 24122017 qui est premier !\n",
      "Le jour 30/12/2017 donne l'entier 30122017 qui est premier !\n"
     ]
    }
   ],
   "source": [
    "for date in date_premieres(date_vers_nombre):\n",
    "    print(\"Le jour {:%d/%m/%Y} donne l'entier {:>8} qui est premier !\".format(date, date_vers_nombre(date)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "#### Pour les dates écrites \"mois jour année\" :"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true,
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Le jour 02/01/2017 donne l'entier  1022017 qui est premier !\n",
      "Le jour 08/01/2017 donne l'entier  1082017 qui est premier !\n",
      "Le jour 11/01/2017 donne l'entier  1112017 qui est premier !\n",
      "Le jour 14/01/2017 donne l'entier  1142017 qui est premier !\n",
      "Le jour 20/01/2017 donne l'entier  1202017 qui est premier !\n",
      "Le jour 21/01/2017 donne l'entier  1212017 qui est premier !\n",
      "Le jour 26/01/2017 donne l'entier  1262017 qui est premier !\n",
      "Le jour 30/01/2017 donne l'entier  1302017 qui est premier !\n",
      "Le jour 02/02/2017 donne l'entier  2022017 qui est premier !\n",
      "Le jour 04/02/2017 donne l'entier  2042017 qui est premier !\n",
      "Le jour 11/02/2017 donne l'entier  2112017 qui est premier !\n",
      "Le jour 19/02/2017 donne l'entier  2192017 qui est premier !\n",
      "Le jour 23/02/2017 donne l'entier  2232017 qui est premier !\n",
      "Le jour 25/02/2017 donne l'entier  2252017 qui est premier !\n",
      "Le jour 26/02/2017 donne l'entier  2262017 qui est premier !\n",
      "Le jour 28/02/2017 donne l'entier  2282017 qui est premier !\n",
      "Le jour 01/03/2017 donne l'entier  3012017 qui est premier !\n",
      "Le jour 09/03/2017 donne l'entier  3092017 qui est premier !\n",
      "Le jour 10/03/2017 donne l'entier  3102017 qui est premier !\n",
      "Le jour 12/03/2017 donne l'entier  3122017 qui est premier !\n",
      "Le jour 19/03/2017 donne l'entier  3192017 qui est premier !\n",
      "Le jour 24/03/2017 donne l'entier  3242017 qui est premier !\n",
      "Le jour 25/03/2017 donne l'entier  3252017 qui est premier !\n",
      "Le jour 02/04/2017 donne l'entier  4022017 qui est premier !\n",
      "Le jour 20/04/2017 donne l'entier  4202017 qui est premier !\n",
      "Le jour 29/04/2017 donne l'entier  4292017 qui est premier !\n",
      "Le jour 30/04/2017 donne l'entier  4302017 qui est premier !\n",
      "Le jour 11/05/2017 donne l'entier  5112017 qui est premier !\n",
      "Le jour 14/05/2017 donne l'entier  5142017 qui est premier !\n",
      "Le jour 17/05/2017 donne l'entier  5172017 qui est premier !\n",
      "Le jour 25/05/2017 donne l'entier  5252017 qui est premier !\n",
      "Le jour 26/05/2017 donne l'entier  5262017 qui est premier !\n",
      "Le jour 29/05/2017 donne l'entier  5292017 qui est premier !\n",
      "Le jour 03/06/2017 donne l'entier  6032017 qui est premier !\n",
      "Le jour 24/06/2017 donne l'entier  6242017 qui est premier !\n",
      "Le jour 25/06/2017 donne l'entier  6252017 qui est premier !\n",
      "Le jour 27/06/2017 donne l'entier  6272017 qui est premier !\n",
      "Le jour 08/07/2017 donne l'entier  7082017 qui est premier !\n",
      "Le jour 20/07/2017 donne l'entier  7202017 qui est premier !\n",
      "Le jour 02/08/2017 donne l'entier  8022017 qui est premier !\n",
      "Le jour 04/08/2017 donne l'entier  8042017 qui est premier !\n",
      "Le jour 05/08/2017 donne l'entier  8052017 qui est premier !\n",
      "Le jour 08/08/2017 donne l'entier  8082017 qui est premier !\n",
      "Le jour 13/08/2017 donne l'entier  8132017 qui est premier !\n",
      "Le jour 16/08/2017 donne l'entier  8162017 qui est premier !\n",
      "Le jour 23/08/2017 donne l'entier  8232017 qui est premier !\n",
      "Le jour 25/08/2017 donne l'entier  8252017 qui est premier !\n",
      "Le jour 29/08/2017 donne l'entier  8292017 qui est premier !\n",
      "Le jour 03/09/2017 donne l'entier  9032017 qui est premier !\n",
      "Le jour 06/09/2017 donne l'entier  9062017 qui est premier !\n",
      "Le jour 19/09/2017 donne l'entier  9192017 qui est premier !\n",
      "Le jour 24/09/2017 donne l'entier  9242017 qui est premier !\n",
      "Le jour 27/09/2017 donne l'entier  9272017 qui est premier !\n",
      "Le jour 02/10/2017 donne l'entier 10022017 qui est premier !\n",
      "Le jour 03/10/2017 donne l'entier 10032017 qui est premier !\n",
      "Le jour 05/10/2017 donne l'entier 10052017 qui est premier !\n",
      "Le jour 14/10/2017 donne l'entier 10142017 qui est premier !\n",
      "Le jour 15/10/2017 donne l'entier 10152017 qui est premier !\n",
      "Le jour 17/10/2017 donne l'entier 10172017 qui est premier !\n",
      "Le jour 01/11/2017 donne l'entier 11012017 qui est premier !\n",
      "Le jour 05/11/2017 donne l'entier 11052017 qui est premier !\n",
      "Le jour 20/11/2017 donne l'entier 11202017 qui est premier !\n",
      "Le jour 23/11/2017 donne l'entier 11232017 qui est premier !\n",
      "Le jour 28/11/2017 donne l'entier 11282017 qui est premier !\n",
      "Le jour 01/12/2017 donne l'entier 12012017 qui est premier !\n",
      "Le jour 10/12/2017 donne l'entier 12102017 qui est premier !\n",
      "Le jour 19/12/2017 donne l'entier 12192017 qui est premier !\n",
      "Le jour 24/12/2017 donne l'entier 12242017 qui est premier !\n",
      "Le jour 31/12/2017 donne l'entier 12312017 qui est premier !\n"
     ]
    }
   ],
   "source": [
    "for date in date_premieres(date_vers_nombre_2):\n",
    "    print(\"Le jour {:%d/%m/%Y} donne l'entier {:>8} qui est premier !\".format(date, date_vers_nombre_2(date)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "#### Comparaison\n",
    "Il y a 71 jours, en 2017, qui ont une date première si on les écrit \"jour mois année\", et 69 si on les écrits \"mois jour année\"."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "71"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(list(date_premieres(date_vers_nombre)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "69"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(list(date_premieres(date_vers_nombre_2)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "----\n",
    "## 3. Résolvons le problème pour toutes les années entre 0 AC et 2500 AC\n",
    "\n",
    "On aimerait afficher une courbe montrant l'évolution du nombre de dates premières au cours des années, selon les deux formats."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": true,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "def nombres_dates_premieres(year=YEAR):\n",
    "    if year % 2 == 0:\n",
    "        return [0, 0]\n",
    "    else:\n",
    "        return [len(list(date_premieres(date_vers_nombre, year=year))), len(list(date_premieres(date_vers_nombre_2, year=year)))]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true,
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[71, 69]"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "nombres_dates_premieres()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "On vérifie que pour les années paires il n'y a pas de dates premières :"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(list(date_premieres(date_vers_nombre, year=2016)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "On peut donc récupérer toutes ces nombres, jusqu'à l'année 3000.\n",
    "(On pourrait gagner du temps en ne considérant que les années impaires, et l'année 1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": true,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "\n",
    "def intervale_nombres_dates_premieres(year1=1, year2=3000):\n",
    "    nombres = np.zeros((year2 - year1 + 1, 2))\n",
    "    for i, year in enumerate(range(year1, year2 + 1)):\n",
    "        nombres[i, :] = nombres_dates_premieres(year)\n",
    "    return nombres"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "On essaie sur un intervale de 11 ans :"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[  0.   0.]\n",
      " [ 46.  50.]\n",
      " [  0.   0.]\n",
      " [ 52.  51.]\n",
      " [  0.   0.]\n",
      " [  0.   0.]\n",
      " [  0.   0.]\n",
      " [ 71.  69.]\n",
      " [  0.   0.]\n",
      " [ 50.  58.]\n",
      " [  0.   0.]]\n",
      "CPU times: user 64 ms, sys: 0 ns, total: 64 ms\n",
      "Wall time: 65 ms\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "nombres = intervale_nombres_dates_premieres(year1=2010, year2=2020)\n",
    "print(nombres)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[ 108.  108.]\n",
      " [   0.    0.]\n",
      " [  98.  104.]\n",
      " ..., \n",
      " [   0.    0.]\n",
      " [  64.   55.]\n",
      " [   0.    0.]]\n",
      "CPU times: user 15.6 s, sys: 20 ms, total: 15.6 s\n",
      "Wall time: 15.6 s\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "nombres = intervale_nombres_dates_premieres(year1=1, year2=3000)\n",
    "print(nombres)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(3000, 2)"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.shape(nombres)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "Quelques statistiques :"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "- Au format jour-mois-année, il y a en moyenne 23.9 jours premiers par an.\n",
      "- Et en moyenne 59.7 jours premiers par an, en enlevant les années paires.\n",
      "- Au format mois-jour-année, il y a en moyenne 25.2 jours premiers par an.\n",
      "- Et en moyenne 63 jours premiers par an, en enlevant les années paires.\n"
     ]
    }
   ],
   "source": [
    "print(\"- Au format jour-mois-année, il y a en moyenne {:.3g} jours premiers par an.\".format(np.mean(nombres[:, 0])))\n",
    "print(\"- Et en moyenne {:.3g} jours premiers par an, en enlevant les années paires.\".format(np.mean(nombres[:, 0][nombres[:, 0] > 0])))\n",
    "\n",
    "print(\"- Au format mois-jour-année, il y a en moyenne {:.3g} jours premiers par an.\".format(np.mean(nombres[:, 1])))\n",
    "print(\"- Et en moyenne {:.3g} jours premiers par an, en enlevant les années paires.\".format(np.mean(nombres[:, 1][nombres[:, 1] > 0])))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "On va afficher tout ça :"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "sns.set(context=\"notebook\", style=\"darkgrid\", palette=\"hls\", font=\"sans-serif\", font_scale=1.4)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {
    "collapsed": true,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "def affiche_nombres_dates_premieres(nombres):\n",
    "    plt.figure()\n",
    "    plt.plot(nombres[:, 0], 'b.', label=\"Format jour-mois-année\")\n",
    "    plt.plot(nombres[:, 1], 'g*', label=\"Format mois-jour-année\")\n",
    "    plt.title(\"Nombres de dates premières par an\")\n",
    "    plt.legend(loc='best', numpoints=1, fancybox=True, shadow=True, framealpha=0.8)\n",
    "    plt.xlabel(\"Année\")\n",
    "    plt.ylabel(\"Nombre de dates premières\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true,
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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aKO1fuxaEjY0tTZs2R1NTk8TEBO7fv/9abZmYmBESckeRFhoaiqmpGZA1As85\n0g0Pf3E/nTt/zKlT5wgICHitpXVGRkaUK6en0F9qaiqRkZF56i8uLhZj4yr07t2PFSvW0qlTV7y9\n/6BateqcOnVO/rOza8T160HUqGFCx46d0dLSIiMjQ56Pf1P09fWpUKECt28r24uMjACgVq1apKam\nEBZ2T8579uwZMTFPCqX/nAijLxAI3mn09aFx48xSYfABunTpzokTR/H3v0J6ejqnT//Jv/9epHPn\njwul/Ro1TAgLu0dcXCwPHz5g8eL5VK1alUePooHno85790JfOl/cpcvHXL58idOn/yQ9PR1//8uc\nOHGULl26AWBqWpOgoECioqJISkrkl1+2FelSNA0NDTp16sovv2wjKiqSlJRnbNrkTtmyZWnWTLmM\nOjDwKn37foK//2UkSSI2NpawsNB8X65q1DDh8ePHREZGEBsby/LlizEw0Jf19qa4uPRh+/Yt3LkT\nTHp6Ot7engwb9hnx8fGYm5tja2vPypVLiYmJISkpkeXLFzNzpluh9J0T4d5/Bc6G+1IhsRxWeo1L\nWhSBQPCW0q7dRzx4EMWPP/7Ao0ePMDMzY+HCn2jQQN3t+zq4uPThypV/6dOnO5UrGzNhgiuxsTEs\nW7aIChUqMmLEaGxsbBk7dgQjRnzB4MHD8m2rQQNrZsyYzZYt65k3bxZVq1Zn8uSvcXb+CIBu3T7h\n4sXzDBrUByOjSkyePJVz5/wK5T7yY9y4SaxcuZSxYz/n2bNn1K/fgNWr18sxAdlYWzfkiy++ZMGC\n74mOjkZfX58WLRwZOXJMnu22adMOP78zDBnyKYaGhowYMZo2bZyZOdON77+f+dKVDi9jyJARJCTE\nM3HiGFJSUqhTx5wlS1ZiYGAAwKxZc1m2bBH9+vVAS0tbXg5Y2KgkSZIKvdVSQmFvhuHi2RUtrTL8\n9rFXobb7tlKaNhwpDQh9KBH6eM7bpIustffJzJu3qMj6eJv0URwUtj6MjQ3yzRPu/QKQfdjOuQg/\nToeeFoftCASCd5LMzEwiIyMwNDQsaVEERYRw7xcARxMnKulWpvXuZgAMqbQc2/KWJSyVQCAQFC4D\nBvTm2bNnjBs3qaRFERQRwugXkAPB+5nYcBoeO3UY8+dBzCPsS000sEAgEBQGu3fvL2kRBEWMcO8X\nkHpG9emiO5PHe+dAdAN5ow+BQCAQCN4WxEi/gPSo25OEhEzq1YMb1/oW60YfAoFAIBAUBsLovwL6\n+nDhAvj5JWJpWXrW/QoEAoFAUBCE0X9Fsjf6EAgEAoHgbaNYJ6Vv3rxJt27daNeunSL9/Pnz9OvX\nj0aNGtG5c2d27dqlyPfw8KBLly40atSIfv36cfHixeQ2kPMAACAASURBVOIUWyAQCASCd4JiM/qH\nDh1i5MiR1KpVS5EeHR3NmDFjcHFx4dy5cyxYsIClS5dy5swZAHx8fFi2bBlz587lr7/+olevXnzx\nxRc8evSouEQXCAQCgeCdoNiMfmJiInv27KFFixaK9AMHDmBiYsKAAQMoW7YsjRo14pNPPmH37t0A\n7Nq1i549e9KkSRN0dHT49NNPqV69Ot7e3sUlukAgEAheg6ioSNq1a8ndu3deXjgXR44cpGfPri8v\n+BayYsVSRo4cQmJiQrH3XWxz+n379s0zPSgoCCsrK0VagwYNOH78uJzfqVMntfyAgICiEVQgEAje\ngD59uhMd/VDteFxdXV0OHjxZQlIp+fXXnfTs2RctLa0i7Sf7NLvXoXPnjwvtEKLSxKVLFwgJucOq\nVesoV06v2Psv8UC+2NhY6tatq0irUKECMTExcn7uLSHLly/PnTsvf3OsWLEcmprq51K/KS/a1/h9\nQ+hCidCHkvdRH2XKaDBjxgwGDRpU0qLkyZMnT/j55+UMGzYIPb3iNzrZvI/PBkDt2iZs3bpZ7TTC\n4tJHiRv9vJAkCZVK9cL8ghATk1RYIsmIgyKeI3ShROhDSWnRR/Y5GY4mTsXSX0ZGJgkJzxT3nlsX\n3t6e7N7tQUREBMbGxnz22WBcXHoDWQfeqFQqHjyI4sGDKHbv3k+fPt0ZMGAIp0+fIjDwKh988CFz\n5/7Ili0bOHPGByMjI2bPnkf9+lle0xMnjrJ9+xYiIyMwMDDExaU3Q4aMIDr6IX379kCSJJo3b86U\nKd+onR63efN6bty4RoMG1vz66y40NTWZONEVSQJ3959JSkqif/8BDB8+CoD4+Hh+/nkZ58//TUJC\nPFZWNkya9DUffliHyMgI+vbtwfbtu/nww7ocPuzN9u1bePQoGj09fT7+uAcjR47J8/f+0CEv1qxZ\nIXtHQkLusmLFEm7evAFAy5atmDLlG/T19dXKAowfP5p69RowfvxkNm9eT1BQIOXLl8fX14ejR0+r\neWIALlz4hw0b1hAaGoqublmcnTswYcIUypQpw7//XmTatK+YN28RK1YsITr6oXwSnp6ePps3r+e/\n/25ga2vP7t0epKam0q3bJ4wfPxmAlJQU1q1bha/vaeLiYjE3t8TV9RvMzS0xNjYgMPAWy5cvJjDw\nKmlpaTRv3hJXVzfKl6/wys9gqT5wp2LFivKoPpvY2FiMjIzyzY+Li5PzixufEB9x2I5A8Bax5MJC\nllxYWNJiyJw968vKlT/h6urGsWOnmTjxK1asWMKlSxfkMn5+Z+jTpz+7du2T0/bt+w1XVzd+//0g\nsbExjB8/mnbtOuDldYzq1WuwdesmACIjI5g7dxZjxkzg+HFf5s9fzNatG7lw4W+MjauwbNlqALy9\nT+R7XGxgYACGhoYcOHCU9u07sHLlUi5fvsSuXb8zYcIUtm7dSEzMEwAWLZpLREQ4W7b8gpfXcapV\nq46bmysZGRmKNh8+fMDChT/g6urG5cuXWbXKnWPHDhfoKN7U1FRcXcdTp445+/cfYtu2nYSE3GX5\n8sUF1vv160FYWVnna/BTUp4xY8ZUunTpztGjPqxdu5kTJ45w8OABucyzZ8kcO3aY9eu3sWPHr1y7\nFsihQ8/jy4KCAkhNTWXvXi9mzZrL7t2/EBx8CwB399Vcv36Ndes2c+jQKRwcmuHm5kp6ejqSJDFt\nmiuVKlXm118PsGfPHyQmJrJsWcHvr6CUuNG3sbEhMDBQkRYQEICtrS0A1tbWavlXr17Fzs6u2GTM\nJiEBXA/M4ce/S88PiEAgyJucp2Oei/ArNadjenv/Qfv2HWnUqAmampo4OjrRpElTTp48JpepWrUq\nTk5tFSPgli0dqVXrAypUqIC1tQ2VKlWmZctW6Ojo4ODQnPv37wFQvXoNvLyO07JlKwDq17eiZs1a\n3LhxvcAyampq0qtXP7S0tGje3JHY2Fj69x+Ajk5ZHB1bk5mZSXh4OE+fPuX06T8ZNepLjIwqoaur\ny5gx44mMDOf69SBFm4mJiWRmZqKrWw6VSkXNmrXYs8cTR8eXe2D++ecc8fHxjB49lrJly1K1ajUG\nDBiCj89JtZeL/FCpVPTq1S9Pgw+go1OW/fsP8cknvVCpVJiYmGJlZcONG9fkMpmZmfTvPxADAwOq\nVatO/fpWhIbelfMlSWLw4OFoa2vL301o6F0yMzM5ePAAQ4aMoEqVqmhrazN8+CiSkpK4dOkCAQEB\n3L4dzJdfTqRcuXJUqFCBUaO+xMfnJMnJyQW6v4JS4u79Hj16sHr1ajw8POjTpw9XrlzBy8uLDRs2\nADBw4EAmTJhA9+7dsbGxYdeuXcTFxdGtW7dilfNEsC+f71hEctWspYTdf+/KtObTi81lKBAIXo3c\np2Muar0MS6N6xdL3qlXLWLNmpSLN0rIe69ZtISIiHFtb5aDF1NSMe/dC5etq1aqrtWlsXFX+rK2t\ng7FxFflaR0eb1NRU+fqPP37H2/sPoqOjAYm0tDRF/sswNjaWXziy556NjY0V16mpKURFRSBJErVr\n15brVqxoRLlyekRGRlCpUmU5/YMPatO9e0/GjRuJnZ0d9vYOdOnSjapVq71UnoiIcGrUqIGOTlk5\nzdTUjJSUFDVPcH5UqVIVDY0Xj3P//PMEe/bsJCoqgszMTNLT0+nUSbmCoEaNGvLnsmXLkpKSIl9X\nrVpN8VKRnR8T84SkpERmzvxG8SKXkZHBw4cPUKnSyMzMpHv3jmoyPXoUjZlZzQLdY0EoNqPfqVMn\nIiKeK9LGxgaAI0eOsH79eubPn8+PP/5I1apVmT17Ng4ODgC0atWK6dOn88033xAdHU29evXYsGED\n5cuXLy7RAagY14bkvbVgnDUAA8ovx9FEHK8rEJRmDgTv5+sm07I+397PVKPpxdLvxImu9O7dX77O\nOaefmpqST8zS87S8RqMaGqoXXmfj7e3J9u1bmD9/iexNGD58wCvJr1KpG8e80p6/SKjLkvseVSoV\nbm7fMnDgEP799y+8vQ/xyy/bWLXKXXbfZ7Nz5+959JP3/eYX/pWZqdw5NadOo6IiGTCgt3y9bNlq\n0tPTWbp0Id9++z3Ozu3R0tJi+vSv8+gv/xeH/PKyX1ZWr96IlZW1Wr6//z9oa+tw6tTZfNsuLIrN\n6B89ejTfPBMTE/bt25dvfr9+/ejXr19RiFVgLC0zqdhqDzE+swGY4+9F9+aWYv99gaAUU8+oPj3q\n9gSyXgBKA6amZoSE3FWkhYaGFNpo7tq1IGxsbGnatDkAiYkJ3L9/v1Dazo2JiSkAISF3aNgwy3vx\n6FE0SUmJmJqaKcpmZmaSkBCPqakZ9vYN6NGjHxMmfMHRo4eYMuWbFy7tMzExIzIygpSUFHR0dIAs\nnZUrp0fFikZoa2srRtySJBEZGUGDBuoGFvJeSrhjx1Zq1DChY8fOQNYoPDj4FnZ29q+oFXX09fWp\nUKECt2/fUhj9yMgIqlevQa1atUhNTSEs7J78HDx79ozk5CQqVizc+LUSn9N/W9DXh8+7m4PPHPCZ\nQ8xNa7Wjdc+G+5aKOUOBQJBFtsHP/bkk6dKlOydOHMXf/wrp6emcPv0n//57sdDWpNeoYUJY2D3i\n4mJ5+PABixfPp2rVqjx6FA08H3Xeuxf6xvPFFSsa0aKFI5s2uRMbG0tiYgJr167iww/rYGlZX1H2\n5MljDBs2gNu3gwF48CCK6OiHmJiY5dW0ghYtHNHR0WHTpiyvQGRkBB4e2+jcuSsaGhqYmtbk2bNn\nnDvnR3p6Ort27SAtreDTGZClt8ePHxMZGUFsbCzLly/GwEBf1tub4uLSh+3bt3DnTjDp6el4e3sy\nbNhnxMfHY25ujq2tPStXLiUmJoakpESWL1/MzJluhdJ3Tkp8Tv9t4su2LnjXgxs3wDytF5aWyiWB\n2RHCYp5fIBDkR7t2H/HgQRQ//vgDjx49wszMjIULf8p3VPqquLj04cqVf+nTpzuVKxszYYIrsbEx\nLFu2iAoVKjJixGhsbGwZO3YEI0Z8weDBw96ovxkz5rBs2SKGDOlPZmYmdnb2LFu2Ws29/9FHnQgN\nDWHq1EnExcVSvnwF2rXrQK9eeW/clhNdXV2WLFnB6tUr6NGjI3p6+rRv34GRI8cCUK9effr3H8AP\nP3xHmTIa9O8/EHv7Jq90H23atMPP7wxDhnyKoaEhI0aMpk0bZ2bOdOP772fmu9KhoAwZMoKEhHgm\nThxDSkoKdeqYs2TJSgwMspbXzZo1l2XLFtGvXw+0tLTl5YCFjUoq6KL3t5CiWCOsq2ugdrTu2XBf\nllxYyLmIrKUnLWu0YqrDux/kV1rWYZcWhD6UCH08R+hCSUH0ceiQF2vXrsTb+0QxSVVyFPbz8aJ1\n+mKk/4rkdbRuSUYJCwQCwbtIePh9DAwMX15Q8EoIo19IlFSUsEAgELxrLFo0j5Mnj/PllxNLWpR3\nDmH0C4nSGCUsEAgEbyNubjNxc5tZ0mK8k4jo/UKiNEYJCwQCgUCQE2H0BQKBQCB4TxBGXyAQCASC\n9wRh9AUCgUAgeE8QRr+QELvxCQQCgaC0I6L3CwmxG59AIBAISjvC6L8GZ8N9CXx0FevKDQEUu/G5\neHZ9L3bjEwgEAsHbR4GN/tmzZ3F0dAQgKCgIT09P6tSpw6efflpkwpVWllxYKBt9T5dDYjc+gUAg\nELwVFMjob9q0iS1btnDu3DmePHnC0KFDqVixIgcOHODx48eMGzeuqOUsFZwN92XO7zPwf+APwLkI\nP5z3OGJd2UbsxicQCASCUk+BAvl+++03Nm7cCICXlxeVKlXi8OHDbN26lQMHDhSpgKUJRxMnPHp5\nKNLcO2zGzKAmjiZOOJo4kX1+kQjsEwgEAkFpo0Aj/YcPH2JlZQVkufm7du2KpqYmDRo04OHDh0Uq\nYGnjt2u/0aJ61jSHSqXiwO39nIvwk+f0MzKgfRkNfgxZSJkyIrBPIBAIBKWHAhl9PT09njx5gra2\nNhcuXGD06NEAxMXFoan5fsUCWhlbYabzIT3q9mTx+QXsuv4L9xPCFGW6hFUF7URABPYJBAKBoPRQ\nIIvdokULhg8fTpkyZahUqRKNGzcmNTWVxYsXY2dnV9Qylir6WvWVzz3+pukMToQeVTP6xNSGqoGA\nCOwTCAQCQemhQHP63333HXZ2dtSqVYs1a9agUqlITU3l4sWLTJ/+fgatnQ33xcWzK1eiLwOgW6Yc\n5TT1sjKrBqKZUJNeHw7gwG1x4p5AIBAISgcFGukbGhry/fffK9L09fU5evRokQj1NuBo4qRYqje9\n2UwkJGaf+xaAgwP2Ym9aTxyzKxAIBIJSwyut0/f09CQqKoodO3aQmZnJkSNH6Nq1a1HKV6o5ELxf\nXqoXnxZPSorEQJPpVKokcSJyP/am08UxuwKBQCAoNRTIvX/w4EFGjx5NfHw8V65cASAqKoo5c+aw\nd+/eIhWwNFPPqD7fNJ2Bo4kTKSkSv66xw2PUAg67zaOWbj2xbE8gEAgEpYoCGf3169ezdOlS3N3d\nUalUANSoUYOVK1eyefPmIhWwtJKQACZxvUlIyNqh78+7fkSd7A/ArVtlqJPSmyUXFsp78gsEAoFA\nUNIUyL1/7949OnbsCCAbfYBmzZpx//79opGsFJOQAJ06leNWmi+6XWaTXDVrjb7u2DYkH/4eE5MM\n5oTM4Z8HYj9+gUAgEJQeCmT0K1asyOPHj6lSpYoi/e7du+jp6RWJYKWZmzc1uHWrDNCW5L1rYZw1\nAJ6jlnKl7SPi9fwxNhggG32xbO/tI3taRryoCQSCd4kCGf2WLVsyffp03NzcAHj8+DFBQUEsWbIE\nZ2fnIhWwNGJpmUmdOhncvl2Giq32MLjhNLS14UTkfs7G+RJ4+yqG2uXFfvxvMeKoZIFA8C5SoDl9\nNzc3UlNT6dGjBykpKbRq1YrRo0dTo0YNpk2bVtQylnqaV8vad3/X9V84F+HH09Sn3E8I4/Ddg5TX\nKS/vxy8o/WTvv5C9tbKLZ1cRjCkQCN4ZCrxOf8eOHdy4cYM7d+5QtmxZateuTe3atYtavlLJzZsa\n3L5dBoCY8mdY+NefnBx8iJ3d9srr9iHrMB63M64lJabgNci9/4KYmhEIBO8SKqkAw9AxY8bg7u5e\nHPIUKtnb5RYmxsYG3L0bj9Pg84Sbz4UPTgPQskYrzAxqcu9pKABPU+N4mvqUsPh7cv67FsxnbGxQ\nJDouaRafXyB/VqlUTHUo2NTMu6qP10Xo4zlCF0qEPpQUtj6MjQ3yzSvQSD84OJiIiAhq1KhRaEK9\nrfiE+BAbl4TvDieOXV7CmICmQNaI8OaT6xwPPYp1ZRviUuIIiL4qG30xYnx7qGdUX95USeyoKBAI\n3iUKNNLfvXs3np6edO7cGVNTU7S0tBT5bdq0KTIB34SieJPse7A7aWkZeLocYvH5BaSmwuPHKipX\nhm8dp1NnoymZmWBduSGXo88DKqqUq8Jn9QcVeMT4tiDe1pUIfSgR+niO0IUSoQ8lxTnSL5DRr1cv\n/xGqSqXi+vXrrydZEVOYSjwb7suSCws5F5G1DM+qkjVG2lXx9zHn6V1LytocQlXzHMkZiXnWN9U3\n4+f27u+le/91lr8VxZK5ol6GJ37IlAh9PEfoQonQh5JS594/efJkoQnztpI7wEtLQ5t/H14g0dwH\naunzLMqOapk1SSbvF6Bd3X4vdPd+QkJWUKGlZSb6+oXadKHyOsvfimLJXO423xb9CQQCQWFRoCV7\nJiYmmJiYYGxsTGZmpnyd/fe+cCB4P0Nth1K5rDFXov8lMeMpaGRA2Tj44DRR0nVIKwcZz6c/tDW0\nsapkU+hH7GbvCtilix6dOpUjIaFQmy8UXmf5W1EsmcurzRPBvqVefwKBQFDYFMjoJycn89VXX2Fv\nb0+XLl0AiIuLY+TIkcTHvz8umnpG9dnmso19Lt75ljna24dRtZ8fQzyz+RymNP4aSZIKdb33810B\ns/b6v3kz76+yJA/9cTRx4sfWP8nXi1ovy3fkni3n69R5HTkqxrUpkP5epz+BQCAorRTI6C9ZsoTb\nt2+zcuVKNDSyqmhoaKChocHixYuLVMDSRM6I7hbVHdHXNISU8pBcHjJ0qFHOjB2XPNGt8JSJDacx\n0GQ6jxPj6VG3J+ci/Ar18B1Ly0zMzTMAMDfPwNIyM89y2Yf+JCTApUsaxT6izT5++Osm017o7ch5\nONHr1HlVOQqqv9ftTyAQCEoj+c7pS5LEypUradu2LceOHWPnzp3UrFlTPnDHwMCAuXPn8sknnzB3\n7txiE7ik8QnxAWCg+Wi+vrwZ4nXRqB5IZpk4IpLC+CXEk4qRvTG6Ojtrm95es/g7qmuhH76jrw9H\njybx2wU/zMwk9PWV7akFHi7pRvLh7zHXcuLo0aRim8N+2fK33HK6eHalZY1WfNN0xivVeZlOc8uR\nrb+CzOm/Tn8CgUBQGsk3en/48OGYmpoyd+5c7O3tuXz5MgC2trb4+/sDkJqaSpMmTbh69WrxSfwK\nFOWSve/MjtDl9P/HM2w+Kx+6w5ogiG6gqOP++wV5Pb/vp+cLNaDPxbMrAJ4uh9Tybjy5/nyHwBxy\nHT6cSOPGLx/ZvoxXjTjNL3Aup5wF1c/r1HkTCtKfiEhWIvTxHKELJUIfSoozej9f935qaiqzZ88G\noGbNmvz1118Ain3kDx06VKiBfNevX2fo0KE4ODjQokULJk6cSEREBADnz5+nX79+NGrUiM6dO7Nr\n165C67cgZAeDnQ49zbkIP7qdL58VwFc2Dr5oDMGd0DgzCxr8Rp06GdSp89x1fE21r0Du6teR50UB\nb9ku7YkNp2HktEeWpyCu7MLmRYGHBXXn5+R16rwJxd2fQCAQFAX5uvfXr1+PpmZW9oABA5gwYQK9\ne/cmMzOTjRs3EhgYyMmTJ/n2228LRZD09HRGjRqFi4sLGzduJCUlhW+//Zavv/6alStXMmbMGL7+\n+mt69erFtWvXGDVqFCYmJrRu3bpQ+n8ZuZfszXVcyAy/b7Iy/5oEJxeRCQxd7MHsPknA81HtqajX\n2+HtRevKC7JHfE6XtkWF/dQZlVhiy9N+u+DHrTRdoK0cOJftbcgp5+LzC+SAvhdR3LvmFWSaokJi\nOaz0Ghe5LAKBQPC6FGhzHoB9+/axY8cOxYE7w4YNo3PnzoUiSFhYGB999BGHDh2iTp06ABw5coTp\n06czfvx4PD098fLyksv/8MMPREVFsXbt2nzbLGz30eLzC9DT0yExMYXdNzwwM6hJRgYEXNUk2d0H\nc/MMtfnyN1kL/iLXfbY82bzKHvGFxau4pLr/3pWrVzVIXnc6Tz1l87J7Lq24eHZFS6sMv33s9fLC\n7wnChfscoQslQh9KSt3mPAC9evWiV69ehSJQXpiYmFCvXj12797NpEmTADh48CDt2rUjKCgIKysr\nRfkGDRpw/PjxIpMnL+oZ1efzFkOIjo7H/+FlPLr9BsC0StPp+4n6KDrbpX3rVpkXGjpQjuoLGjj2\nqqPdwtyR7mUj25xTDUsuLMwKZKwKNj85Mb3FdPzjgLjnshRlsFxR7sQngvwEAsHbRL4jfV9fX5yc\nsn64Tp8+/cJGCmvv/bCwMIYNG8b9+/cBsLGxYcuWLUyePJm6desyY8YMueyJEyeYPHkygYGB+baX\nnp6BpmaZQpHtZSQkQFAQWFkhG/Z//oHmzZ+X+ftvaNYs7/ptt7UFwGeYDwBBD4OwXpcVHBj0ZRAN\njBvkXfEVyN1HUbaVM/9CSBBN/6e8l7zq53XPeem1sGV9U4riuxIIBIKiIF+j37BhQzkqvzj23k9N\nTaVXr160bt2asWPHkpSUxPfff09aWhoZGRlqRv/48eO4uroSEBCQb5tFdbRu7nbzG9EXZKSfe6SY\nfQRvzpHym7ru8+vjdUajL2srd36zqq24dq428WEfYmSUiXPP20Qm38uzfu7pirH1pxfYU1LU9/0i\nsuXW09MhKSn1nTtY6XURLtznCF0oEfpQUirc+0eOHJE/F8fe+3/99RchISHs378fLS0tDAwMmDhx\nIp988glOTk7ExMQoysfGxmJkZFTkchWEvHbHa9w4E/84X77/H1SMa5PvnH5+AXmPkx+9NHAsu/6L\n0rKv7z0NlY1fQY/5zau9lwUQ5s5vWW4Q/1wygmt9eQKU7TyD/pat8pQl93RFfnp90b3mvu+XBTsW\nBtlyGxsbsPmv7YXevkAgEBQWBQ7kK2pOnTrFhAkTuHLlinx0b2BgIL179+arr75i//79HD58WC4/\na9YsYmNjWbVqVb5tFsWbZEaGAbt3J/PRR+no6cGVKxrExMB33+kSEaFBnToZHD+eNSLt/ntXkpLg\nj56HXjhCfZ2AvLwC3rLTfvnokFrwYKPtWTERn9Yb+EZ95JQ3v5Ftdv7uGx5IkopyG+7Io3Uj17aE\nJ4byab2BL73fF3lKChrwV5zBjmL0okTo4zlCF0qEPpSUipF+TrK34L19+zbPnj1Tyy8MT4C9vT36\n+vqsWLGCcePGkZKSgru7O/b29vTp04cNGzbg4eFBnz59uHLlCl5eXmzYsOGN+30VHjyAxo0htcY/\naKyWMEtvTWioMmYgMxP+jvJlpf9CeRe+eitase3ThXxUN+9RaUEC8nIHxuUMHOtS+2MO3z2Y5+57\n3//vKKsDF3I/IQyAw3e96VK7W55tZ4+a1/uvYfeNnQQ9DpD7yOkWL8jI9lyEn9xnM9e2jNbphn+K\nt6yTcxF+THWYzuPkR3nWh6w5/O//d5SwMBV9HVqhr//ywLmz4b4EPrqKdeWGOJo4ybLm3Dd/vf8a\nAKwrN1Tc96tS1Ef1CgSC0sW78D9foJF+r169kCSJli1boqurq5Y/fvz4QhEmMDCQRYsWcePGDbS0\ntHBwcGD69OlUq1aNS5cuMX/+fG7dukXVqlUZP348Li4uL2yvsN8kPTw0mTJFF4a1zUrY5pNnueXL\nk1FVDWTyf1m78BHuwL4uf9Kq1etvipNzZJvX7nD57b63b18iD6Vr8o6AdsaNONbXJ9+2s6+T0hK5\nEn1Z0UdudHUN8PPLe+3/y2TMq83s5Y2mppncv5/lqRh0Qn1E/6J2XDy7ykY/Ly+Ip8sh6m4yBZ4b\n/dddHphbb2L0okTo4zlCF0reVn0U1ZLi4hzpF8jo29vb4+fnh56eXqEJVRwU9kPlHejL5zsWI9XK\nWs2gE9malKPfQ0jbHKUkQIX+oCEkVztDhn4oAGWjWrNliFu+o/38yCsYzcygJmYGNYEsl3XLGq2Y\ncHKMPLLWTKhF+t5t1CmT1ddtm8/RrOtD+v/Lkh3QBkqvgVUla0Alj/BN9c1wNHGipmEtNbd4QgJ0\n7WrAjRvkGWSXl1v9Ra72nK58LS2JNJPT6HaZTXLVMwqZ8wr4yw58nOnnRtDj56s5rCrZ8Gm9AQov\nSBlVGTKkDMW9vGqAX34Bgi52Xd/KH7Ki4m39YS8KhC6UvG36KOqg4FKxDW9OLCwsSBAHjtPN2ok/\nv14jXx/4Yin7ljnw/ffJWQkf+MAHWS8ECf92Z6LR73LZZ7+vo2Lc86WN+R3Tmld6f8sB8udFrZfR\noVYnvmk6g2+azsCyYj0cTZz4qFYnuYxb2y84vM6BobOPcTvDF/77mPT/HVS04WjipHbk7BcNx7Gu\nwyb5ele33/m03kD5WOCcct28qcGNG1mfcx9Nm10uW8bs+vWM6ivkzknOoL20NBWEtCV57/ONlxa1\nXia3nd2Oo4mTvC20o4kT6zpsVrTp3mEzX9iOU9zjXEf1U/Jytp3zPvP7jl7l+F+BQPD28y79zxdo\npB8cHMySJUvo0qUL1atXl4/XzcbBwaHIBHwTiuJNck3QTyQmpgDPR5nyKNWxPSoVSFuzdudrM3sm\nv/6qzdOnKoyMJC4u/fqlgWh5udrvPX154FtegXo5d8Ez6jWLQYPS0NZWtpEz6E6lUileMFQqlZrR\ny5brRSP9vO4hr3vNidpIP02FUa9Z6LbYhkoFEvh2jwAAIABJREFUn9UfJMuSX7uLzy9gvX/Wi4KN\ncdacfraHYfcND7kvM4OahMXfU+grr/t8kdx5eRvettFLUSP08RyhCyVvoz6KMii41AXy+fn54evr\nm+cmPYW1Tv9twcrYCq0KWdMc2UFo/nG+GLkuhAd+SGTtOjfFfjoz5tvx9GR/zMwymOTmgX+cL17/\nevJP5N+yC915T0vmtVoEKF3tTX9pCKgIeXoXyAp861L7Y+JS4mRZsoPWDt89KLv2z0X4Yapvhotn\nV8UueObGNXGuPRBHEye1YMGc9Q/c9mTR/7/Rup35iv9ibijKZgcOWlduyIULXeU5ff84XwJvX1W4\n0p33tCTndEFeQXeQ9Rad86hbU9NMDl3zY2PEbwTHZcm1+vIKktOTZd3oaRko2u1S+2MO3PYkPu0p\nAPeehtKyRis5KDH7/iroVOSbpjN4nPyIi1HncTRxUkyNZFN3kylPU5/K7dczqk/t8h/yhe04hScD\nimfv/1ehpIKN3rd+Be8XxX3eR1FRoJF+ixYtGDRoEJ07d6Zs2bJq+YV50l5hUlSb8zR3d1Jbipcz\nuGxRzQtID62YNu150OPhw4nMDetM4KOrfFi+jhwk17BSI07091Frw864ESApgunczrgC6iPdH1v/\n9NKgudx1c9LxtzZ5Bu0pggP/n5xtnR3lK+s4e3niEuef6Hzgeb8S0guD7vKTKXf/69vu4gufz2Td\nrGq/Ts5baXGB7s0tuZ+q1N+xvj5qQYnuNhfoaG+piD/Ief/ZbO+yiyGHP5Pl/njfRwAEj7yfr9yl\nZfRSUucXFFdgY+7zLN6G8xpKy7NRWhD6UFLqAvmaNGnC+fPn1dz6pZ3CfqjOhvvy06XF+N3P8njo\nPmjN5sFZwXnz/BawY4cWMTEaIKng9GzZTW3ieBLDfpO5HpNjy+AMLSiTBmTtWtet7ses91+rNuI0\n1TfDvKIFwbG3ZJd0fgF3ZgY18wzs0ymjQ0pG1pREzgCU3MEppvpmtDJpzar264Dn7qyz4b6oVCpM\n9c34K/KsLEebWm34yLQz3sEH5aV4mgk16dGwFR8aZcmS8/HKGXRXkKCY7P5TU2GdzyHSNOKgQlYw\noomeGXFX25IQ9iFIKurcn4nt7MGcf/h8qaChtqE8WjfRM+Pp1bbE36uDecRMjh5Nwj9OKYeBliE1\nDWvRpfbHnIvwo2WNVlyMOs9fkWdl/eUMBMwtd0n/kBXXDoQF7bcoAhtzTgOZOJ7EdNAc+dkrrvt9\nHUr62ShtCH0oKXWBfJ07d+bvv/8uNIHeVhxNnPiy1vNAvuS9z4Pz9JMaELP/B/CZIy+XS0tTsXx5\nMr47mrK+kzLIjF/3yh+HV1nOF7bjGNVwjFqfPev2YWIjV0bafCGnuXfYogi4G91wLD+3d1cEyFlX\ntpHzu3zwfF1+zgCU3MEpu7r9zke1OsrX2QFzn9uMZoT1KFZ/tF4hxzC7YXxhO46WegPltHS/yTTT\nGYSjiROWFespgveyA/py9/up5fP6uXE0caKL7kzSbrQHj+fBiHZ6nUnYsf3/V05I3L5dhnoaXdjZ\n7bleV7dfL3/+7sN9xO/YDkjcSvPl5k0NNTmmOkxjSuOvKa9TnthnsTiaOPFrD0/FPc91/DFPXRY1\n+QUV5iQvvRaHfMUV5HQ23DfriOb/D/gMP9ue4VWWFXm/AkFRUZD/68KmQCP9/2PvzONjOtv//56Z\n7ImQBCERSURIQkKtlZ1QRLWWp6VCq4tS2urT2mvnsZRW26eU7vZqa+kiqC0kQqnaaomIEBKJyCL7\nNjO/P07OmXNmJoSG6u/7XK+Xl8zMOfd+7vtc1/25P5/PPvuMDRs2EBQUhLu7OyqVypCASsXEiRMf\naCHv1x7Em+SyE++zapWO3Fy1ApxXVAS9etmRkmIg6xHZ+QBm7F1IcuVBLuSfQa+HyuvtKTvfHWdn\nHSNGVPFuiOFI26pTKyipKkajskCvhw6NOxPmESqla+xBV1aqiNC/C0D79sLZ9t8zj9LYzhWAgorb\nvBo0VrpXBB8mJanZUTofKyvBm87NUTM3akqt2AM3nl+PVqsm8dkzhHzfhps31WiPj8TZWY9vr31o\nNHcGKcpBMZuSNuBRr3mN16/rGSt4d+7zsOj0NWrHLBrZumKz8jIpYVFCW8fvZffuElacM6Qreuti\nG8VOmkdySBS2tnrOTvwFBwfz4JyWXzSjuLKYAIdu/DgwlqE7+1JaqsLWVk9GSVqNoMoH6b3cKwOh\nCMw8PqJmQaq6tIcBbBywLRqtFnI/iJNYGvsuno6VlTLfR9H+59kq7X7b469IlT+KJj7X8q3SurC/\nHN7v0aNHzQmoVA+Fm/9+7EE8ZHE3d9LJrg9JSWpSrDfzbNuB0m9FRQIt7/Gcg1hbw/BQYcHp3duO\nZLd5WD72HZUNBNBjEzs3/u35Bc90DmXKkdEENgridvltdqT+ojhrLlpDm8aM7/hvRrcbJ4FInmo5\nkKIi6PZyLFn7h4BXHJZPjafS+bTJ/WLoM6f0Fj2aDJRCpE2iNrH7w2gGDbIj2XILvpWDahS2OZQe\nz8bz67h6+5oUUlVV2qO3LAbAMieIRh55ZJRcU+QJMD1hirQdEewWSrBbKCHuYSY8AUP9YmjbMEjx\nvZejF6FNevHL5R/Jr7oplcfOwp6SKiFvf6e2LAhfTE7pLVxsGwKwKzWW3t7RUtnjryUoQsF+zv4U\nVxbz36iVALy+ZzS/XP6RkqoSKQ+LghZY5z5G8Tc/4Ourpdmkfmx6WpBUfu/oAoVn+SDC2fcasn/v\n6AISMxIeeoj/p0tbFSAnkbHxXtqjJkCeORGnQc7TeKZzKPsyTfN9FO1/i77S7qc9ioogbMRR0tM1\n+FqG3bMA16NkxmM6wjOCt9pPqtNz/zXZI8O9/yDsYansGZvokcz22klpKQwaVE1q1OgsjBMkWOWg\nNpEh7tIr182C5wBa2nagsZOdiad3/Liavn1lpEmyPOQmz8/4nmXLSgWmwWrbsUNA5Bu/UYtvpc86\nfGBgG8xqC67VLynLz7JyZbHE/ret11GCff2EfdgfIkguEcByu546im8DP5KS1Khcz0rAv/aNOmCt\ntmO2107F9/aWDrRr1F4ByAMl2E7ONCj3iu/EZCgH50l1T93OC9VpinUSt2uM22ZGSh/Ky8HOTvjt\no8fiady4sM4norsxGf7V6x+U3evEfqdoxqNSp/u1/y36Sruf9jh+XE3fTf2ED9/EsWNHsSTA9U80\n+Zg+O/YsjfCos7TrZNGvrKzk999/JyMjg8GDBwNQUlKCnTjjPYL2sBd947c3rkTgdnEGtlmRpGjj\nsfjXSIkVz6Nec3p59uaHi5sksJmjlSMdXTtTVlXGlfw0buQVQKUNWJSBrXBUz9hzM95WcBo4Uwqv\nXytMo7mjJ8FuoYrQp7GQzZYtJYKnX8Nnkb9frJe6tDE6rQocsgDQFDVHe6k7zmpPBg2q4KuvrNDp\nVKjV8MmELrzz82KJWY98T+rdiqDx4a9ISdHgPGgmkQMuKQB4ZLZD5XQVvXW+2XYWAXeg53b5bek+\nY4CjHMjXxqUtN0tukl0qRApUqNCjl66b2Hkqo9uN4+mtfbl6O42smyq0lSqc0l7A+fRMUlIMbdNn\nzFHSfedJREySXYnAPXkG8Wu71OnCf6/ngx+myNCdrLYTe22iGY9Kne7X/rfoK+1+okCLjhj0TOQg\n6n+qyce0g70NY9u8XWdp/+Vz+teuXWPkyJGkp6djYWHB4MGDuX79Os8++yxr1qyhZcuWdVbYf7IZ\nS7myfQUZ2QFs2VKMrW1nEqpe5T/Hhb33UYFjGNP+dRrbubLo6HwAPon6jAptORdyz9NCrWL93jK4\n3g0890NXAVEvgt7k4I/du8NYlyA8DCdJwdLSk6F+MXx15nNaO/tJSP1Vp5ZLfPNDlp2mXnE7PDz0\nXKqCXbvCJM/eWNLW6XYEQ1obpHl1p/8FlQ4Q+h4AscN+QJcVQIr1Zo79rkG3TyijLuB7Lv7ag9LD\nWTCgetHfP5vCSnsKq19Sci8EMqrRZN7qctbQbps3oPfZCX3eMdvOsYP3kJR7nt8zj2KhseSTEx8C\nAsBRfkTwk6hVUiRgZa+v2Je2h1mJ06R23Ji0Tmr3Pt7RHEqPp6FtI14OfJUeTQbyzq/TiHraB2cb\ng+hPUpKa9ENRcLGJaURl+wrSswNISqpbD+Ru54ONw+L/tPPEtZFA/qfV6X9WtxbiHsaS7oYxsm3U\nUh5rZhgjD4uroS7zkY/puJs773J13VmtPP2xY8diZ2fHtGnTiIyM5PTp0+j1et5//32SkpL4/PPP\nH0ZZ79n+jvD+e0cXUFEB69ZZkpujkY6H1QQa8/lcFH8JRKVSSSFprRZuLY0TPPi3vNBo9Dg7g5UV\nNHNoTkkJWFtDaSnM89nJgow+lJZCaulpNBoIcA6ipEQIPWuqsYWiEI38b60WE84Bc5K24VsExr9B\nLWJYkbiRKptMLMqbMLbbc1hbGzyv1FQICXGgqkqFpaWehIQiQr5vS1VVNfhTDz6/pACQkqLBw0NL\nbGwJq68q283ZRUvLnvvIKEmT2sxc1KLZSmH//s0Ob5sAHI2BfLdugYuLHisrAegm1y+4EwOf/Hup\nbdznoVbr0TU/gI2NHtusCPJylf39sOxRPad+L97cg/TkHwXw1/88faXdT3vcaYw8rGfg/4zgTufO\nndmzZw/169enXbt2nDp1CoDi4mLCwsL4448/6qywdWl/x6IvgomKiuCLxG28EjxAmmjkQCNzgCu9\nXo9KpZK+a+XYlsupGqpcTt25UBX2YFX8l+olhstSigUQYIzPOJKS1OTVP6AI7dtZ2CmAbm1cAunr\n3Y9JXaYpXhYaN9Yy+5tdrLsu2+6otq6uoYxuPZVZL/ThmuYg7u5aps5L59m2hnZzc9Mj54H68dJW\nWjv7ManLNH66tJXEjAS+vbBBAvJZq63xd2lDT88nmNRlGofS4/nqzOd82WcNRUUQPCqWzKrzuFeF\nEb+2C6PjnmH9kwIg7+Wdz5NTdsskvAyYAAp7NO9FT7cB/Hk5h+faDWDjKaGs0V4D2Xh6J88F9Xlo\nC8vfdS6/tnYvE5k5IGBdmLkX2Lv1z4PwGu9lq6Ou835Ydi9lv59FztwYeVjPwP9Pgju1WvS7du3K\noUOHsLCwUCz6hYWFhIeHc+LEibuk8PfYg170a/IgRBR/aSnY2oKvryAV6+ysIzHRguDgKnJzlSA2\nc0x6H7U6xvjxtmaBeQqTg+nu15afZccaT4accAOU4LaamPFAAOWJYTZzAEH/iDNSHUWLH3qUotQA\n4dpqmeIdQ7YrQuLmWNdEcKQouZtTeoukappgWws7LNUWtHIM4l9Fv7Ja9QSOjvDz4FgSEtQCmNJM\nXmJfpZWdk8CJH7U6hoeNP76+Og5dvCABE+0tHdCo1LRtGMS6nrEmff93eHOPMsDtUfBujcdkbcBf\nD8KbE9viblGHRzVqUxu7l7LX5dh4WM/Ag8znkVv0R4wYwRNPPMGIESOkRV+n07FkyRJOnjzJxo0b\n66ywdWkPctGvyYMwd15fZOYTZXfF/82J4MxPWCCEuHPVODnp0ev15OerBQU/PVjb6lEBZWUqsMkX\n/lWz1FFlDaUN0KisARXaW17Y2Opp20bLiSvX0N7yRu16Hgv721ToqkWDKuqjPzcA20Y3sPA6InHX\ny8FtUpl0aagCtqG3qub/L61PvfSnOTX3E6nuxvK4Fv96gSqHNMP1GU/x0qBmdHUN5eW1BoBfV9dQ\npjwuvDnfiXWNzHZYWempqD6WqEaNDqNJXBb56NQwlJTYAeQ1/lkC3nVqGMq7IVNpVz/M0FeRs2nQ\nQEgnP09jYFTs9yLq1jvR2WYpsrDKDaLip48UR4f+jkXuUQa4PQqL/r14+g/Sm2vUqB6pqYU1luVR\nj9rcye6n7HU5Nh7WM/B/SnDnzTffZNSoUWzdupWqqipeeeUVkpKSKCws5LPPPquzgv6TzBjslpSk\npmNHAQQnX/ChWioWEBZ8w/+5FwJxr3SglbdeEu9xKAkgd8sI8IojTx/HsCdaseHdGAgQQtFvTCjD\ny0tPRoYKZxc9Fnn+koca2XAwnRz74OWl54/sozSp7Iqbm3Dt71d+gt/HoWv1E2H9M9mbI7yoRbUI\noVe7Idg3yqae/YvScbVx7cdL+/9SmQC9/nl4bK1QjQOzKCxoxvfHEmjVSk+Iu7AA/vijhXQEsOpa\ne/BPM1yf+Ri3wn6lZ0gYW0c1lKIAMQEG9rjvjyWQ7JIEle1JPxTFjLcd+S2r+ojg4beoUOlhwEsA\nfNN3vQTWk2zzBnjuaQB8i0bw+7lWcKyPFDF5pekyQtxbc/y4rK9utiH/SiPhb7tsQ7/leaHbtVDK\nT7SKjRshO4Dk6rHwdx0dMgdw+yeHiOva5EJOtdnTH9J6mLR4mQMUyu1e27mmOUNM425gxr+S94NK\nQ7z/XsoOEHcljvz8ErN532u5jJ+BBzX+/38Bk9b6yF5KSgrfffcdly9fxsbGBm9vb5577jmaNm36\noMt43/aoe/oeHlpcJ0cCEFP5Kz17VmFvb5DptbHR82VYLDNn2khHxow9FfnbZ2Wlij427yomNzF8\nPezXaMrKVHjs3cuTS6djby+A2bJLb9LRtTPbBsTy9Na+Ulpnc87QtmGQEryWrKHBgJlUVakoKlKB\nXoV32nRc3omUAIXt2wuTmFgHPI7Q1KEx5b+NJDdHg43/Pnx8dPw8OJYPTy4gJ0dFXP461GoDe1z/\nzdEcvXYGfUZ7fOL30m/JdKAa5OexBgtLPWODh2FlJYD1qqr0XM5NQ6eD3MsthOa9Gom9vQ6bx1dT\nnO5F2YXu0P4bNBZ6Xg+J4d2QqSZ9ZTNGoFQuWylEBCws9FQN745Fw1Q6tPCQQIXu9p4k7+5B7pY5\nij55FDxbMA2zPkgg253SflTao7ZWWxlr+fVQ+3D2nTx9uDdPsi62AepyK+FeveBntvenslJrNu+/\nWq4HvUVypzF/v8/aIxfej42NJTo6us4K9LDsUdnTz29wgOxsFZFeoSQmWtC+fRXPTjpGdpu5hrPe\nme1QXQth4sseHMgyCNhwJQKX7P6MHxLA8NBQQcK2GnkvyuSKwMHgUbFk7h2Ce8heliwp5/EmYQKD\nVeA70OSUlF69quY063xCIQDk5eiNm4M7EztPVbDntXFpy/zQxbSrH8bJk2pe++8vZO0fgkajR/vk\ni1j4xFPleFlK2+3iDJYuLWdK4uukFaVK6Td38Ka0XEt2pbBwWuYGoSl1payyQmqDNi5tuVV6i6yS\nTOk+q9wgxkRG06hefTac28D5PAOr38TOU/n5YizbV4aRlSXISDRspKNF2CGSYweQF2RoXyuVLRV6\nQZq3lZMfi8Pfl7YS1iUksClrAWeLhTb3tw0lfd9ACrzXSO3WysmPxxp3QK/X09zREy87f3zKB3NI\n+18yyi7T32eACSPfw/a4zYVZX287lVkv9L5rePt+ynq30Pm9TGT3kn9dt2tN4emc0ltmAYV/JZy9\n51K8dPzTuB9qA2asi22AB7GVUFsgpnHe4vxiTgDsXsv1MLZIJFZA7RncNYEKTo77AY2K9sgt+p06\ndSIxMRErkeT6H2IPA71fmzc74zdPCVwkZ89L7wwuF/GxD+LrZ5YazqwvPwv9xhIYqOXHgbE8vTWa\nK2WnCWwUpHiTVQCWRkbSpo2WVyx+FcLsozqD+++G9LIDGPH2H6x17CjdL7LhTXbdycTkMFJKBXCm\nr30Hdg2Ow8HBDPvfyEhoehysixRp79hRzNTLYQr2vPihRzl7FgkUR3pnqLSD7culNlgZeIzlGa9y\nJkcGDK0GGM671kfByCcCCE3KhIxhUNa+M32/ZW7yUOleXVaAos/kIJ2VgccYM7iTot12PXWUOb+/\nLb1wiW0v8vR3bdrNhD/77wBlGYONJMBktdUEZLufst4NJHcvE9m95P8g2rWuWQ+N5wWxLeqi7HUB\nKPs7AaDGEuIik2ZdlOtB10tiBWxyEjLbK0DB9wMaFe2RW/SXL19Ofn4+48aNo0GDBnVWsAdtD8PT\nv9ObXU1vnu3qh0lnve2bXaa4ya8Sux1AI9vGhDXtye7dGgqdD4KTANST89yDcFxufugiQtzDyMqC\n9gN+Rxs2RxE9AAxefr4npHaHH7+CyDngvZ9WgblklqVJzHWU1Qeb24o6i8f5Hm9SXe7KeOjzliFd\n0QpdcbkwkZZPbpMiFSJ7XnSLJykv1/P11nQKXQ4awIf5njjkhIMeilxkda1wRJ/jTb2SdgQEX1ZI\n91ZVs//9vnQCoAzR+/ho2bathAED7EjxmAeAQ7PLqPx/lECKFkWeVP3wjQKEJw9PpualEZt43cAi\nWOSK2rICnXWedI2rXRPyy/Ip15VJ3/k4+bA0/GOAvw2UZRxmfc1/6n2N0dqUtS48/XvJ/0F6cnXJ\nemiuXa6qjvPu7hl1Uva6AJT9nQDQ1/eM5resRK7eFp51eVv81XI9yHodSo9n2sHJigipv1MgC8IX\nmQCQ//Gefv/+/bl58yYFBQXY29tjaWmp+P3w4cN/vZQPwB70ol+bNztzb56H0uM5nn6a1BsFzIua\nyqkb5xm423CsbW7wAsa0f52iIli4/xM+vyawyLHxRwmgJk9PURZ59GD5WUCv/NzoLJx7BiJmAzDu\nyW4Ue33PN2e/NJuHeN+ONZ507Kjj46PLuXlTRd/W3RVlBhjZdCEze43jeoWyzkm556W26OAcRsGN\nRpLHP6r5Qvo2eEM4Utd3rMQ8uOupoxw4dwE3Nz1Bbn7KyEd2AAR8z473o+nYUSdtp/xZdJCWLfX0\nbCk8gCvithHcYBDt2+uYcuRVvrv4rZDG0bFCG1yJ5NWvFuPhoaepvZsiPJlbVMykREGZkK1fg9tR\nqWxivS7fTlHw9H/99Nc0oDGAAthUk8fxIML/5sKsd4tG3c07kpfTuMx1sad/L97Zg/LkjDk0QtzD\n7tgvdwpnK+YFrzgWLy5l0rN9iU86KpX94+6fMtS/Zklpcya2vXzb4X45De6HF6GuxutPl7byuE9H\n2n5qqkNyr/1gLu3a3n8/9THWRjEeg3favrlTvo/cov/JJ5/c8ffXX3/93kv1EOxBLfqpqYUkJalp\n1kyn4Kg392b33tEFfHthPQDP+Q9nYuepDNgWrQgTv3d0AYfS4zmTfYaqKhUv+Y9lQuepCunb4mL4\ncu9hKpxPgkpPJ/cgunuHmfLpu8/DyUl48cjL1eBYX0tMTCWWlrBunRW5W+YAehjZHYAOHbTcrLhK\nf48Y1q2zotD5AFyNxLr1fvR6FRUXIxUSwqI40KtBYzmWfZiUnMvcLMnCAhv6N3qdhb2nSAA9Fxe9\ngq1PDG0Gu4Wy4dx6SktVPOcXw4TO1d5oPx8sLASQnrW14KUay/+uXWtF3tY5kmyxCJ5MSlIz+0of\ns5K+Yj+AkMaKxI1U3fLC99BeMkc6o1IpeQkAOqxpg14PxYdGku+5Bo2lno4tPNBoQKdT4UU4p24f\n5FLZUQDUahXOVk3wrC9cIzIBQs0ex6NyJvtu3lFNAkZ3s9pOZPfinT0MD/Wv9ovc47N9LYKgIB1H\nxsQzcbtQ1trIHpt7mfq7x0td5r/87PsUF1cfG77L82GOE6Muyns/9RHnarHcIe5hirLXJk1z1zxy\ni/4/1R7Eom9rW48OHbQKcZrr180PyEPp8Uw++A4Xqwlkmjl4YKG24EqBAeDWxiWQNi5t+f3GCS4X\nXqgueABNjn9M5pEoSfq29+ijZHQdCfWFxckyz5/XIp5meug0Ka09l+L56o/1vNQhhsB6YUSOjSUn\nRy3J5cZe2UpxdiM2ZCzg1G0lS55VbhAVl8KwcclkeeRqJvyymLxcNR6XZzD+s/WcK1Yy4Nla2BLu\nGU7Kratcul1d7jxPHDL7gmUxRQkv4WsZxvhV63F3aqgIy1qprSWeALIDGNo1hFN5RxQgvU4NQ9kx\neb4k/5v4ufCgdHx7CXkne+CjCWP3boEZMGyEUgBHBAf9eUs4y9+2YRCH0uNNpHw1Kg1avRYw8BIY\ny/rKz/y3qOfH/G7v8+93C8ly+xqaHZGEkIytkW0j+vsMYFH4+yaeVE1hatEe9lE7Y69PlCYG5TaF\nXMBIHpKtyWMyN5GZu7YmpjVzacq9t7qW0q3L7YM9l+JZeHghZwoN0qmu1m5cL7p21/SNw8TGglcP\nYrtI3t6rTi0HYHS7cdJv99suxv0ofq60LCaycR/ANNJgnJ9tVjilO+bUWk73buX9K/URXzpFZlAQ\nonp/3jrNjtTtJjLhYhveLd9HctH/4Ycf+PXXX7lx4wZqtZqmTZsSHR3NU089VWcFrWt7EIv+5cv1\nePxxw+e7gTWMw5FyQRjxu9bOfixdc5H3ijoJXxrJuZoDpslD7qKJEQR/pyCGlv2qkMtdtqyUp5+u\nwsEBtsQbWOYkqwYSktmeRX47mHKh+vhetYTlvGt9yC6+RXL1Aj/TdxMTn3qW9b8eU4LzXC4Kf2e2\nl+5t3VrHrycMebpUBZBjcU6qh8+bY6jnXCSB9GoCoAEm0pqAybaGCA4SoxIi34CxvO6szu8x59gk\nANb0/ZY+3tEUFcFPRy6YlQ6e7HCcri1aC1sRUxqASmsAMRqZvYUD6NWcibl+15D6ysBjPPFYa4bv\neTQ8/5rkiOVSxvKwpjFbohh9uXmzHo0bC8+g6KnVto610UF4EHavAL3apiVKp9Zme+JuzJZ1ta0h\nr4u8X+RS3+bqci/5G/eX+NkY9GpcJjlbqXw+rC047m7lrav6yL9bFP6+AqBoZ2kqhV5Tvo/cov/B\nBx/w9ddf8/jjj+Ph4YFeryctLY2jR48yevTo/1PhfWNP/25vnsbhyPJyPZ/tTqSsVIWNrZ7RT4Tw\nbshUZu1fwKpV1ZK0KvC8MoPUVEM0QQ5MA3By0nP8fSHkfig9nukJkzmbIwsXZrZDs3sZ2pTuEk+A\nWN4PTy5g7VpL8uofBOt8qJepABLKAYPp10qcAAAgAElEQVSWuUG09NFLXjhl9QVAYKkzfr/tp/uc\nqaz9OZ0iIzAiCNGDlQMWsnB0b5Ld5+HQ7DJlTQ5K8sIUuQr/V9/XzMGDEPcwmjt6mgDQ5qzexUen\nTKU1JXBhm5exaBknpS334kULdguliU1z4rb5kKtLg8BvQSNEHBytHFkZuZEZI3oL7dzgChqfOLT1\nDIDDfm1CObLtMXIC5xnAjlXWUNAMCpuBHjTO19A0SJciGeqK+kwLnsKbXcYpyqIQZtKmYeuWKgEH\n/y42NnOeiEe95pIwkVzASKVSEewWaiIl7Z48g50ru0jbXj4+Qh+kaOOx7TvrrnW8UxTkYYAj7xWg\nV9tnX5ROrc32hAmzZaV59s6/YlIelcp+MRf9Gt1u3D1vq5g7mieXvY7wjOCt9pMU/Sevt1hfMGxL\n3gs47m7l/av1CXYLpa93P4V338zBA1+nViTnXZTkvo3HaU35PnKMfJs2bWLFihWEhSkfsAMHDjBp\n0qRHdtF/EHavDF/GLE6XL6soO2cNVyMps8vGPkRAf3f08OfURwPZs8cCrd/3DGqtzGP37hKm7KzA\n1zKMji7hxDGfU7fjoXrteTVoLOP3jzVkvHkD2uwA3nqrjA8/FJRrkpM1fH8sASt7+HLEZAZNDxSu\nzQ5Q8PvrfzAw2o0OGouvr86Q9peJwvVPvM2Fsjg6Fqg4PXc5//32IssqOinq/vPIL9BlBQgsZJZt\nKIqbDe2/ltjtRuh2UN5+Od9dFkCEG5/cTGtnP366tFXRznn1D2BrC8MChkmL/pyBz0la2rt2lfBF\nYhThAWMl72BeyEKmJUxSlGdx+Afs+P0CW6oZD3E9AU2FLYA+Xv1wuh0hnAJoBpwcifZKhFTWbc98\nz9HUC2w/6wEFEyBqhpDod9+BRTlvvllGsX0K9vblNChtx9xkwSPW/bCGkLAoMKIK9nP2x/32YD7e\nYg8B31OaaOgDY0azOwGOagqfyj/L1RWN05Ffb45ZLSn3vDR+ZyZMZVIXYTtJnLzkDHaitPCePaUS\n85yBpCqS0h9WmNTRuLzmynCrVGBIlHtStWWsMzZzdZf/difWtTsx6hmnKa9PiHuYJJ0qT1/cHzbu\nV3Hsv785keXLreFKJLkXAulrKwBX75UNztz4MdRF2S/y50YuOX2tMI2hfjHStkpN7Sf/W96PxrLX\nK/qtoBEeivulMnnFkZujpq/tdDp21NGqwVZ8RhXfcb69V3lpP2d/aRtLZEO9U5o1sQ5GePSQvns1\n6DXGtH9d4c0PbR0jbTOK4+tu+T5oq5Wn/9hjj3H8+HHUarXi+6qqKrp06fJ/TmVPBPLdD8NZVhZ0\n+qQ/5eXge2iv4s01Kwu2b7fAw0NHt27CZGIsOgNKQJVoaQVXuV1+m9b1Azl9xoKKC93xzZjOli0l\nCq/L6tVI1Gr4tk8sTz5px9WrAu88XnEAWNsIw6H8QnecnHTYBa9GpdIzqEWMJHtrmTiTykoVtmMj\nCQrU8vPgWOYnLBAiGNZX0Vjo6eTTnMebhBGhf5eJEwVGQR8fLVcGtkBbpcLx8vMMj6nip2uCpv1Q\nvxjpzdc4hNp/czQlJZCru4qqmsnYGAhVVARTdi4EBPncHy6tp5GlJ7m6q5SVqejhHEMTVwipepdJ\nk2xJ79UDTcNUBreIoUkTvQQc7NXLjpSwKADULqm4NtbzjG8MuTlqJj8+hS4rnqS0/ils8oXjkGWl\nanwT97BrVwkvHhBYxqqq9Jw+o6GsVIWtDZyd9LPZcWLOszH25IqK4Omt0djZCeJBxlZT+FT+2XjR\nNxeaFL+rrQck3pdWcBW9HkoPj5SkpI3HHAiLv7k6mguXilGQnBwVDRvCsWxh8q0NONK4fKIZS0jL\n21WUnr4bg2FtPP2aQI/mPLm7bVX03xzN6dNqSj89UGN+98MTYlwXeb/UJDltzE8hT1c043oYjyX5\nUiNGPozrIjJ52trqOTvxl1rPr/ez7XOvQD9zz4bxWH03ZKriuk1JG7hdnq9oO2Op7qQkNaGh9pSW\nPkLh/XHjxjF8+HC6deum+P7w4cNs3LiRjz/++K+X8gHYoxDel9vbe97h2+N7qaonMNiJwi8AeXnw\n6hN9Jd15T08tFhbCZGksOiMHVJmULyuc0nPdcdH5E7ciGldXJNa5BYmLKGsihPFsMsNpcHImmUei\nqNd1E88OqaCf1yAu225m1rc/UZwUilWXryVhmzYubXm342L+vJxDSzcXlp0wgJSC3UKx1lhTVQXN\n1V1wcRGG1HfL25OZ4oqbm5YxYyrYXrzAwDSY64PGtghttZBNsFsowW6hjA2YJgDz0jW4u2tp+txs\nfr+VgDnzcvTi5cDRxPiMI3T4UTIs4+HAbIE+95n+sPEXCPhO0C34fRzqejfRFTaufsmp5jKoDklP\nnZeOu1NDFh0xbCGIZpMZTtkNb0UI3t+pLTM6L+b70zt4JqivAmjlbOPC2LYTCNG8wfcFk1nUfWGN\nY0J86FOsN/NsWyWYbc+leIUokb9TWxaEm2cvMw6ftnFpS3FlsQI0Kpq50KQYhhQ9z5qAcsb5iubv\n1BZ3TRCfRa802dM/kikcY7JvlC3V8b2jC9iRul0qr1imtg2DSM+7xUejY0iujMdywFgqGwhHPls5\n+RHqHoZ3/RaKI5a1KZ9oVrlBDOrUlR8PJxl4GKrNy9GL4a1Gs+nfE0mujMfdXatgXJP3lxh9kps8\nX7kEdbBbKP/pNY829h3NlvFuQLPAeqFM7TZVimzJyyIXplqypFxxjbDtN8VsG4vnyr8/lkC65UEJ\nEBzzi1Jy+vLtS4ptQy9Hb14OfFUxdkQzrocxQBOQPsfd3CkB+eTllT9/d9oCAgPo8NsLGxR1vNs9\n5p4dOejO+Hdxnrldftvk2fjuz63SWHXqsI/jSyeyL1MAwxpvuXo5emNv6SCVtatrKNfXzSb9UBR+\nfhAbW1hnNNl/edFfs2YNX3zxBeHh4bRs2ZKqqiquXLnCgQMHGDZsGI6OjkJiKhXDhg2rm1LXgT0K\nQD7RioogYI0HZeUG8NfKwGMMCmvNgG3R3LihInXWwRrvX7nZAJgzlrdVmBHopXVrQQSotBQGjb6i\nPLMvAwsuWlRKq1ZCPQb9VA2WsyyWGOk81B2JHbgfe3tToM2up47yzM6eEjMdQGEhnHknXpKz3fLU\nduy8ZOCc9M6AXkpfBLVIjFcA38Qx+LU/2OxqYA6Um63agaBG7ZnttVNxj4lVl0H6zZjLoJpFsGNH\nnck5XEVbye4LcunAniGGvIxZxsyBeGpjcs8tKUlN3+evSHn62nfg0Avm8zQGia4MPIaXt85E1li8\n1ljGWfyuNh7TH9fPm6QrMjrKwXx3Y6F74vsIBXhz8kHB85vhsdMAZJO1efzQo/Tb0hMwPWIpN7N9\nKFp6Z3ya25Dy8acmktX2lg60sGmvGLfGks9Qc5RAnm9rJ3+S8oSXlZWBx4h5opPCk7sTkKyoCAXw\ndVuvo1gXBJh488YsnIGBWvaOUEYrJl0Kkxgu5W1cU2TIOHJg3JYiSNZcG8tltu9m5iIfxvWuKT3j\naIqcqbMmUJ5xPe/2vMp/t7d0oF2j9tJvood+8qSaixfVTJliq5jnQkN1JmmIZTN+RscMNmyJ3guD\n393sLy/6fn6160iVSsX58+drX7IHbI+Kp//x0eUsSFyEzkoG/roawdPdG5JdlaYAQhE3G65ECt5q\ntdfvFrwX1cAXSS8WwCGiHK5N01TaBenQ66vDyee7C2IzB2ZjaaknIaGI4cMFT8AteC9ZwS+hFWVu\n8z1h2zfKvLzisOkzS4oGmNjVCJqcn0HmkSicBs5EpVaTa3sEvPeBptLkclVFfUmG1yYzHLTWlNlf\nNLDxVVszBw9C3cMZ4jdM6WlfiYB8L+GfV5ygVWSdDy6XhBcSsU809pRqi2VtOAuudBfukXv1VyNg\n/2zwiqNBAx0qlcBl4JsxXerH+QkykKMeGtwOR6VSkbd1Dg7Dn1cAEeVywO8dXUB25Q32puyrEcRz\nNzMOH2/ZUkLwe+MUDIZ3Yi/T6/UGcGCOBmcXLS177kOjgWuFaTR39CTYLVQRmhTtWmEa1wrTanWc\nrNOEJeTmqrHx34+3Xy6FlbelOouRk/i1XWpkoQOlV9zQphEqlYrs0ptSu15fN5v0dA0MGCnVXYUK\nPcJ0JQeZGZtYr0Pp8ahUKqqq9Jy4UEil+raUlsjsaNn8BBaNLlGqLTG0pQzIKu9jwCT6IpoIetTr\n9SRmJEjtYVHUnKrkHvglfS15cofS43lj7xjpGo96zfm4x6dKVjf3eajVegHYqwbdvtkm843EAy87\nrirqLUycaK343riNjSNDNek0rDi3gNjLv3C9KE1xXLOJTXOBMdT9JwnUalHkyZpBK0wiEubMHJ25\ncb3l/CBif9Z0hFQOApZv+9QUVTmUHk9awVVFX8nH/Ot7RrMvbQ+3yrJNyt7VNZRra2eTkRglzDHd\nZ4On0M42meF89fxkbG1R9LGjlSPR3v1pVs+AY6isVBE7aR7JyZqH6unXCsh34cKFuinJ/wd2r0A+\ngBDNG+jiqwzgr7gZcD2ENr2v4epTpABCkR3AqFFlfP65jbTP/smExznjMIZZie8CoL/aFU6OpOxi\nNi0fOwEqOHrgMYFlrlqCt7JSRWKihQQ8ykiMYuQLY/jmRvW5/ov9pPKJCz5A2eYVJh6QZL+sIDM7\nQJD9zVXDgdnC9z0nQegSk8sn+65i0dWh1el+KnhtRqBBEAB8SbnnCXEPY1jAVcOiv32FgUGwul4A\nOF6DPu9IHye2+FLi1RfbUIhcdKbc8T2eSxDerLe9soTT3W/xZ1EFi/oIE8MXidt4JdgwkebkqMg7\n0QPsBJDjV/OjyWiwGZ9Xi9l7oxdLJ0+Wyv9iY0GiFwRg0JJuCxWsa+bAauZAVSLYziq3HcnJwlHJ\n5GQN16+reXGgO5qiKSy7/JoiTTFP4/CpHByYmw09B/ny1hMDmJkwlU5NuvBUy4HStcb3t3L2uytQ\nLilJTe6FQDj3DGU32zAwpIw+nVobPJpqMF9SUjE2fjVL1cpBUVsHbGdf2m5pfMcExPDk2i6CRPOm\nN6W+7ukynN05gqzzJ1GfUc+qnlkgnFgvcfH3c/anzA8s8vwlL3JohyeIifqQFOvN5FRdl/IG+Hfn\nt/ng5DypLHIgltPtCEp/8DQZw3LQ48bz6yTga9XqHdDoLBcuGCSYQ9zDGBX0GrMShWdxVOAYqQ4S\nmM0NdJe7w5VIdBGzwSuO5ORIkpLUlDU5IJUnfm0X/pswlGWXhe+Gto7B6XYE6Yfs4WITqZzGbWwM\nrFsc/gFFqQEKoOL3xxLAHt7uNNFkbOz4/QJb1o6Axz+Q+qcqYTxOUREYg1ZBCSg19xIs1duyDbpz\nzwCQG/C9CVhSPp4+iVolHSHd+ORmbpVmcyg9vlYAvJzSW0zqMk3RV/Lx+YRXH17v8JbZiFGw3XCW\nZWikOZMTL0iLftnmT3F62pOOLXWKPp7QaQpuDu4AimdufPVaIuzpm2T1QOx/5Dz3aPdztKKoCHy+\naIZep4KsdtD4FLYF7Tg78RfCtwjMbyWJI8nL1eBzfTrbtlUDoWSAlhXnTBnlfOL30nBCJAC5H8Qp\njvh4e2sZObKCb76xko7+9V08XWK2k6eh00FqhABec7odztChlaw89Sl6LZDVXpKqlY4SRgiyv833\nHeDiRbB5LQJn71TUarhdfpvARkEEu4USdyWBi7/2oKBAhZOTHufTM0nxEBgDm3bbT7160ME5lORk\nDS96T6VbNx3hW9oAMKhFDGvWWJG/bQ4AarWeJk30ZGSocRo4kxLXA5SXqbC20dPSR0ee/io3b6qp\nOvaiiecuZwcUJwQ5iKZ1ax3FxbBnjwVrNU9w/rwpeKqoCPbvV/P65vcobbUaCwsYFzKMd0OmkpUl\n3Dt0qC0LD08lJ0eFo6OewgI1c6OmKM5AmzvTLudXEPvRw0NLbGwJow/fm9yrPFrg46NlyZIyfH11\nNRJIyc0ce+Sd0pd7g/IIg9j+Lx7oT0rOZbNlN+4XcRqSs9UVFUHHd5aQl6fGyUmHzePf0NDCE1tb\nPRYWKqlM5rYizAEgxTxFKecDA/+UGB9FsODZnDPo9dDXqXp/t3g9BRX5eNkE8eNAIR15pKNdkI4w\nj1BF3TqsMYxh8biZsSdXkyR2cTFER9tzLaqHENn6Og7Vi5Ho9QLwd8uWEob9Go21tSBl3bq14ZkR\n2/jAwD8lr9nRUUdMTCUODkognRxYV1GBBFSVM4w6vx0pMVzWqOlwB89cbgO2RXMm+7TUjt7eNXj6\nsjnMOLLRf3M0qXlXGewTQ0GBiktV8YR5hErlT64Soi8lJWBnBxt7xyoYPY3HoLyv5EBi0eYnLGB/\nagK2tnoySgyRso3nN5CT4kVZmTAGNQ0F3Iz29xcVbSAf4yqVqey5WO9HEsj3T7VHYdE3ARbJBG3k\nYB+bzHDKznfH5/oM5q1VnkkXQW4h7mGK8Lc8fN7cwYtxHiuIDgjl9Gk1I0faUVmpwsJCz+rVJXTr\nppMBTAzgHn8nIcwnnsN3s/fAyaaB9Hszaz+CXB7D+/YLaJvHcSI3Qco/tFkE/etNJontBHsIXmTM\nL88wxG8YPZoMpMPUmeRvWoaHh5bxn61nUOuBrIjbxtb/DCPFeguNG+vITXiWqlY/QEkjxdZCsFso\n7eqH8uO//0NGhlqaCDw8tLz23/V89JE1WfuHoO4+C137rySmwsaWHnzYfSW2tlBaCm/PKJTkhm3/\n9brEHigH0Xh7a0lTH1SIFcnBU0VFEBVlR6o+HqLHQWOBWKhlfT+mtXuf0b37UlmpwtISnEI2cTNu\niFDe4DnYBuyXQsEKAOaVCBre6k+jXt8oBDxa1w8kd8OHZGersXpqvASkFEFYt8tvS8fmajJxv3Hi\nRBtStPGCDHJK9ztuR606tZxVp1ZI4chWTn6MCHgBwMQ7M973lXP8f5G4jbYtXPjP8Skm4CqRM95Y\nBnrwO3uwshJ4AOTgqsdcurH9+ybkbZ2Lt7eWrB5PUfLldtxD9qJ9+nkySzKka+VALOMQfFfXUMa3\nm8q4pUfIczwo9bFtVjilJwbi3DSX4SMq+f2WIX8y24FVETinSPW2yg3im6ELyS27hU/5YFKsN3Ol\nRIhQ5ZTewsW2oUkouVPDUPraTjeZ1M1JYvv4aCl1jSOjlSEsryqvj95aeMZbObblcnqJBAQmsx1W\nVnppjIgW7BbKKy2nMnFWITnxQ/D11TJ+1XpsbDCJDPVoMlBYbC234Fs5iC1bSog9l8CW3AUm84/8\nuGZuWQ5uNi3Q5bvzXLsBXL9uAKMaR7aMAW1WuUFsG/MRnRoqsTriuGrWTHhJlYMlFdt+me1g54c0\n6PojH4zuxaQPznOr+VfScymaZW4QlT99RBOfLBI/j1aMVXNgvjYugXzScxWH0uMNc8cNgdE0bP54\nirS5nM35UxrXxhZYL5Tu3qFMD51m0q9FzX8ga/8QE0dCBC372UQ+WkC+f6o9Cos+GAE6ZII2rer7\nc/F2NQZCBqwzZuCSS8Eq2OJkadlbOpA6SpgE16+3ULDxzZlTSpcuOmmSlgOodj11FFs7fY2AMDn4\nZ13PWAXQ5tjIs7joPDh5UjjKKfcok5LMixGZk8I1NK4BtPVRq2N42PgL7HdGJjEUmrlPlAIeviea\n27fh7ETDWWI5GPKjVscYP0zJK2AMGhNDfQkJakM5jMqoy2qjLMsd6iRntBP7W14mMAL3yKR9zYGw\n7mRSOxuBGLdsKcbWFhOPwxgQVZOUsLGJLxgA7dsb0jQG6blb+SkBimYAaPLnJMilAxdzUii70t4s\nOPPDDcek58AYiHX8uBIA+VGrY7Ry8jcvSNVPCO0ua7dD8cyZiFVVfydnwTQXTTDHtCgHNRqbYmyJ\nJi+j7BlfGXiMMTtfU8pkG5eRe5NUrkk0zBzQUIxorbd8ghM5h7FR25tlnBSP2IrHI01Af8vPsm9T\nAOXldz57Lwffbdgjm/fSO8PnguaFz7xwUlLUColuyWTXyRlJRTMeb/oKO34cGMvwPdEGILKsXeZd\n60NhebFS+ltmIvCwqAhha6qGeUExFxoxjD4yQL5/qj0Ki74xaIdyezQ6B+momigta1nkTd7WOSYM\nXGBgpPLx0ZITOIf8fGGS1XRYq2B/E8FNA5qM47HHHCQgoJim8dE/8j2plxPBiwPdFOEvcUikFVzl\n8I1DXCsUwH+2WeGU3vBGXeCJTqfCxVmF44nppKZqFPmIIDRzYkTyMJ63t5a0NDVabTWmQAbaIs+T\nJr99iX12JCkpGpO0BwwwyOkyYCSalnFoqwF26or6BtBkNTjSRxNGvyXTTYR7QDgemZGhpjJkDmq1\nntGjK3BwMHAGREXZSXUkcrbUt05OenZOmUBoqIPk6TdrpiU11VBedY9Z1aFPHb699tPBOVRgXtSq\nsUycySvrpnEy3yDg0blRGD8sjbojCKs2AEETwNmVCNwuzsA2S2hPsU9O3VZ6PBZFzanK9EftfhKd\nrYFhUS7jLFpRkams8by1Sp74Zg4edHUN5/Tc1dJYWLeuhOBhShloORDOBEBV7dlxJQIQolcOT84i\nnzQFC6NculrcFhD76eDcCcJ4dJ+Hs7OOx/tcIvZcomG8XYmgnrY5w59059tvLcnTpYHvTiXLZKEr\nK6K+4l+dwsxGE6Y8LgDEzG11GIezzbWft7eW8qZxZHR52VCu0vo4ZDzFE72q+C3rEOnFMiBuane4\n7WkiHe1RrzmLu31qAsq7G1eE/DrjcP7zzacK0t39RimiH6pKe97tNp03u4wzOXInsmb+kRvPwbR4\nAWxcosKpIIJGZ+dw8SK1knvu6hrKqT9slSBg4yhHvic2xa0oa5yoAPnKmUmN83rv6ALSCq5yKD1B\nAknL5w6R89/dXaucN4tchShQtSaHCKx2VntyYM4Ead4T5wA5V4X8uVO01c0Ivhw+qVYgyNrYnRZ9\ndY2/GJn83UCv13P+/Hlu3zYvNvI/M5gA2hkjfY5yf5rtQ34yXLA+lqK1a3i5f0vGLdlFpbswCeZe\nCMS9Mhz3ynByL7QFrzhStPHkXwwUEP5xs+nSLIi3O02Ukvok6jNGtxuHqyusXl0iLKRecVRWCot/\n+qEoXmz8gSLvwuNP4lASwKQu0whxD0Ov1+Pn7M+kLtP4pOcqopr3ki4v/eFTuNgP3b45EDebnAsB\nhsUQYW8SrziSK+O5fl3Nrl0l7NhRrHjQRCDkjh3F7N1bwpo11ajpK5Fw5E1D2ZL7kXkkiiVLyli8\naQerdu2Q0nJ1hSVLDDr2XOzHm86bpY+6zWsMv50YCVciWbKkjKAmQr362k4nL9cAXly2rIxVu3bQ\nu3clpz6awJzu02jtJHj5SUlqRR252UY6YZGXqyI3V80ffxQxbskuvj0Sx969Qt3++KOIZctK0WW2\nFRjVynIpKYanHKcL7YeeSvcDOFUG8HLgq/w4cAcvtR1FoKsfS5aU8+8eQ6UsZ3abS78W/aXPQ1ub\nl2Q9lB7PlIPvsOrUcmxtYc5AQxor+y/lkwmPk6KNh8c/JNnlvyyKW8Gft04zpLXhmG3V6h2wbie6\nA0o2w5W9BNZEYRtgOYfS4wV+AW281I4pKRqcbkewKPx96b6NT26mtaq3AiCWmGiBNqW74J1V2+Lw\nD+jl2ZtPeq5ivu92ZcU2bxDGB8I4rmp2gPw8NWz7hqrVhmvFdlmfspxevaqk5yQvqS2x5xKYs3oX\n017x4ZMJj9PMoh3caGfIY/sKCtNa4EU4x9+fyISnoxjZcrxRA0/m19N/MuXgO1y7phKY7Kot2G44\nIIAG+9pOJ3fLXMgOkJj74q7EKRjsDqXHsyhuhdB+AF5xvDjnVxLWdWFU4GhDnheepmjtGkY1+pxX\n2xm+Xxz0AyRHw802FK1bw9CmU6TfRgWOoWfLMJPnTw5yE03+PIqLkSi4I58T9uyp7rONPyru13+/\ngRDNG4Aw18nnl9IfPsXpdgR+zv682v5Vzk38hZiQYHr1quTiRaS5IinJsAytOrWcP2+dVoyhFxsv\no+xisHAqp9pW9vqCn0Z+bqhz0BjOTd3MtG4GQCYgMJNWOxViX4jt4Ofszyc9VzGjhWzuODNY+nvb\nqKXs+LQz8Wu7sKS7oTys3gf75hraYN8s2PYNuRfasmePhcQqWOl+gGXLStm9u4R5a3exeNMOqS8E\n0LLhuTs4qXanHurCauXpnzp1irfffpu9e/ei1+t5/vnnOXbsGDY2NqxatYquXWs4E/s326Pg6RcV\nwYy9C3Fx0UtMZOLRqrVrLcnL1eB+aTo7d5bwSkI0p06pKVt5QCCmmSoAaXI/iCM5JAorKz3uu/eR\nmiqAtGzGRJJWcZq2DQWkucigJebbZsmTlJaqsFy/X9oP771wOgUFKnbvtjA5rmYclgPzoCTxDbZl\nSygs1JGVJTy0lpZ6KmMErv+EV37B29uUZdAco5joadTrP1MAA3qvAT34/JLC7t0lEhBOLrEpAZ6u\nqfH11RIxazrffWdFQYEKG//9OHunklF4Ewqa4Bubwq5dwsuFuGfYZYXQNj7xe4UXiyxTWV4xdP3O\nOzbSwu/trUWthpQwJWvYgG3RWFpq+L7fz6Z1C4mC5gk4WNlzetj1u7KODdimBO9tPL+Byko9Q/1i\nsLISWL486jU3K0bz243D2Fva07ZhEGkFhqORg32G06XkXV480I8K55Oo1WBnp0evhwY29XnOP6ba\nQxX62PGpmbR6Yh+WlgYJURGBDeDvFMRk150M+zVaADR9E4e3t5a9e0sk0Km9vTUlJRUmOgpSFKja\n6x4+vFIhpfxTwXy+3p9IWTVQ0y4rUhEFsxkTgU6nouKzOBoMmEmPHlXEF67Hygo86zfnTPZ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Zl07NiR2bNns379ek6ePMnatWsVZXrppZc4efIk1tbWZtP8uz19EFiZ1q2zJDdXALYcmDOB69cN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\nf+ASuw1UwAAAAAJJREFUxru96Kd2AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f30cd2db2b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "affiche_nombres_dates_premieres(nombres)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "Avec un histogramme :"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {
    "collapsed": true,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "def hist_nombres_dates_premieres(nombres, ind=0):\n",
    "    nbs = nombres[:, ind]\n",
    "    nbs = nbs[nbs > 0]\n",
    "    plt.figure()\n",
    "    plt.hist(nbs, bins=100, label=\"Format %s-année\" % ('jour-mois' if ind==0 else 'mois-jour'), color='bg'[ind])\n",
    "    plt.title(\"Répartition du nombres de dates premières par an\")\n",
    "    plt.legend(loc='best', numpoints=1, fancybox=True, shadow=True, framealpha=0.8)\n",
    "    plt.xlabel(\"Nombres de dates premières\")\n",
    "    plt.ylabel(\"Nombres\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true,
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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lmzZtivj4eCQmJirLLC0tJcsaGhri448/RpUqVSRl+behvH0BKPR1yczMlJwesrCwkJy/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\nSUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f30cc2356d8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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chqysLPTo8TnGjZsAAMjMzMSaNctx7twZJCcnoXlzU/j6Tkbz5qYAgLi4J1iy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\nCE7qjDHGmIHgpM4YY4wZiP8BP7YYR4To/O8AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f30cd2a3400>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "hist_nombres_dates_premieres(nombres, 0)\n",
    "hist_nombres_dates_premieres(nombres, 1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 4. Quels jours donnent le plus de nombres premiers ?\n",
    "\n",
    "On peut se poser une autre question : quelle date donne le plus de nombres premiers ?\n",
    "\n",
    "On a vu que le 23 février donne `23022017` qui est premier, et `24022017` ne l'est pas.\n",
    "Mais en sur 3000 années successives, est-ce que le 23 février donne plus souvent un nombre premier que le 24 février ?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def meme_jour_toutes_les_annees(days=0, year1=1, year2=3000):\n",
    "    date = datetime(year1, 1, 1)\n",
    "    date += timedelta(days=days)\n",
    "    for i, year in enumerate(range(year1, year2 + 1)):\n",
    "        yield date.replace(year=year)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[datetime.datetime(2017, 2, 23, 0, 0),\n",
       " datetime.datetime(2018, 2, 23, 0, 0),\n",
       " datetime.datetime(2019, 2, 23, 0, 0)]"
      ]
     },
     "execution_count": 52,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "list(meme_jour_toutes_les_annees(days=31+22, year1=2017, year2=2019))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def nombre_annees_qui_donnent_date_premiere(days=0, year1=1, year2=3000, conversion=date_vers_nombre):\n",
    "    for date in meme_jour_toutes_les_annees(days=days, year1=year1, year2=year2):\n",
    "        if isprime(conversion(date)):\n",
    "            yield date"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Par exemple, pour mon anniversaire, entre ma naissance et maintenant, une seule année a donné une date `1201YEAR` qui soit première :"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[datetime.datetime(2017, 1, 12, 0, 0)]"
      ]
     },
     "execution_count": 59,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "list(nombre_annees_qui_donnent_date_premiere(days=11, year1=1993, year2=2017))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Le 23 février a plus de chance :"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[datetime.datetime(1993, 2, 23, 0, 0),\n",
       " datetime.datetime(2001, 2, 23, 0, 0),\n",
       " datetime.datetime(2017, 2, 23, 0, 0)]"
      ]
     },
     "execution_count": 61,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "list(nombre_annees_qui_donnent_date_premiere(days=31+22, year1=1993, year2=2017))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "On peut récupérer ces données pour tous les jours de l'année :"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def histogramme_par_jours(year1=1, year2=3000, conversion=date_vers_nombre):\n",
    "    jours = np.zeros(366)\n",
    "    for days in range(366):\n",
    "        jours[days] += len(list(nombre_annees_qui_donnent_date_premiere(days=days, year1=year1, year2=year2, conversion=conversion)))\n",
    "    return jours"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 124 ms, sys: 0 ns, total: 124 ms\n",
      "Wall time: 126 ms\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "jours = histogramme_par_jours(year1=1993, year2=2017)\n",
    "jours"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 11.9 s, sys: 0 ns, total: 11.9 s\n",
      "Wall time: 11.9 s\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "jours_format1 = histogramme_par_jours(year1=1, year2=3000, conversion=date_vers_nombre)\n",
    "jours_format1 /= 3000"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 11.8 s, sys: 0 ns, total: 11.8 s\n",
      "Wall time: 11.8 s\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "jours_format2 = histogramme_par_jours(year1=1, year2=3000, conversion=date_vers_nombre_2)\n",
    "jours_format2 /= 3000"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 4.1. Visualisations, jour par jour"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Exploitons ces données :"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def hist_nombres_dates_premieres(jours, ind=0):\n",
    "    plt.figure()\n",
    "    plt.plot(jours, label=\"Format %s-année\" % ('jour-mois' if ind==0 else 'mois-jour'), color='bg'[ind])\n",
    "    plt.title(\"Répartition du nombres de dates premières selon la date\\nEntre l'an 1 et l'an 3000\")\n",
    "    plt.legend(loc='best', numpoints=1, fancybox=True, shadow=True, framealpha=0.8)\n",
    "    plt.xlabel(\"Jour dans l'année\")\n",
    "    plt.ylabel(\"Fréquence\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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mQ29HR0ezaZJnzpwJBwcHznlhYWGwsbFhM7YVFhbCz88Pzs7O6NatGxwcHLBp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\nSEAgCIIgCMKK/w9ciCxRlLdpZwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f30c774bac8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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iMS8vL+Tl5WHq1KkYM2aM2ToTBGEKMjEQRDURHh6OkSNHIiEhAYMGDULbtm3R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\nCIIgCDNIQSAIgiAIwoz/ByElWRAOt3cKAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f30c774bb38>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "hist_nombres_dates_premieres(jours_format1, ind=0)\n",
    "hist_nombres_dates_premieres(jours_format2, ind=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 94,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def txt_date_de_jour(days):\n",
    "    date = datetime(year=1, day=1, month=1) + timedelta(days=int(days))\n",
    "    return \"{:%d/%m}\".format(date)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 4.2. Quelle jour donne le plus de dates premières ?\n",
    "Sans trop de surprise, c'est le 1er janvier qui gagne, pour les deux cas :"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 98,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'01/01'"
      ]
     },
     "execution_count": 98,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": [
       "'01/01'"
      ]
     },
     "execution_count": 98,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "txt_date_de_jour(np.argmax(jours_format1))\n",
    "txt_date_de_jour(np.argmax(jours_format2))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Mais en enlevant le 1er janvier et le dernier jour de l'année, on trouve une différence :"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 100,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "242"
      ]
     },
     "execution_count": 100,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": [
       "'31/08'"
      ]
     },
     "execution_count": 100,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": [
       "7"
      ]
     },
     "execution_count": 100,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": [
       "'08/01'"
      ]
     },
     "execution_count": 100,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.argmax(jours_format1[1:-1])\n",
    "txt_date_de_jour(_)\n",
    "\n",
    "np.argmax(jours_format2[1:-1])\n",
    "txt_date_de_jour(_)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "----\n",
    "## 5. Conclusions\n",
    "- Pour les années impaires, il y a en moyenne une soixantaine de jours qui ont une date première !s, \n",
    "- Le nombre est quasiment identique selon les deux formats, `jour-mois` ou `mois-jour`.\n",
    "\n",
    "Ce n'était pas très dur à calculer, mais intéressant.\n",
    "\n",
    "- Et en moyenne, un certain jour a entre 6% et 8% de donner une date première, entre l'an 1 et l'an 3000.\n",
    "- Avec les deux formats, le 1er janvier est le jour qui donne le plus de dates premières, et puis le 31 décembre, puis le 31 août pour le format `jour-mois` et le 8 janvier pour le format `mois-jour`."
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    "> C'est tout pour aujourd'hui les amis, [allez voir d'autres notebooks si vous êtes curieux !](https://github.com/Naereen/notebooks/).\n",
    "\n",
    "> [See this repository for other Python notebook doing numerical simulations](https://github.com/Naereen/notebooks/tree/master/simus/)."
   ]
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