{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "40b53952",
   "metadata": {},
   "source": [
    "# Traitement du Signal - TDM5 : Transformée de Fourier Réelle\n",
    "\n",
    "---\n",
    "\n",
    "Aujourd'hui, place à la transformée de Fourier Réelle. \n",
    "\n",
    "*\"Hmmm, ça me rappelle quelque chose...\"*\n",
    "\n",
    "On va voir étape par étape comment faire une bonne transformée de Fourier réelle, sa transformée inverse, comment bien afficher les résultats. Donc prenez le temps de bien comprendre, cela ne va pas être très technique.\n",
    "\n",
    "*\"... Y'a un bug, non ?\"*"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "c73687d5",
   "metadata": {},
   "outputs": [],
   "source": [
    "# A COMPLETER\n",
    "# Chargement des librairies\n",
    "import numpy as np\n",
    "from matplotlib import pyplot as plt"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "73b4a218",
   "metadata": {},
   "source": [
    "## Exercice 1 : Comment on fait une bonne transformée de Fourier réelle ?\n",
    "\n",
    "*\"Mais j'ai ouvert le fichier de la semaine dernière ou quoi ?\"*\n",
    "\n",
    "On commence tranquillement, avec un signal simple : une sinusoïde. \n",
    "\n",
    "\\begin{equation*}\n",
    "    s(t) = A  \\sin(2 \\pi f_{0} t)\n",
    "\\end{equation*}\n",
    "\n",
    "Avec $A = 1$ et $f_{0} = 50 Hz$.\n",
    "\n",
    "Le signal évoluera de 0 à 0.1 secondes avec une fréquence d'échantillonage $f_e = 1000 Hz$.\n",
    "\n",
    "Construisez l'axe temporel, le signal sinusoïdal et tracez tout ça.\n",
    "\n",
    "*\"Mais c'est le même signal que la semaine dernière ?!\"*"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "13781482",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# A COMPLETER\n",
    "# Création de l'axe temporel\n",
    "T = 0.1 # Durée du signal\n",
    "fe = 1000 # Fréquence d'échantillonage\n",
    "t = np.arange(0,T,1/fe)\n",
    "\n",
    "# Création du signal sinuisoïdal\n",
    "A = 1 # Amplitude\n",
    "f0 = 50 # Fréquence de la sinusoïde\n",
    "s = A*np.sin(2*np.pi*f0*t)\n",
    "\n",
    "# Afficage du signal\n",
    "plt.figure()\n",
    "plt.plot(t,s,label=\"s(t)\")\n",
    "plt.xlabel(\"Temps (s)\")\n",
    "plt.ylabel(\"Intensité\")\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c60dba54",
   "metadata": {},
   "source": [
    "Oui, on reprend le même signal, car il conviendra très bien pour notre développement. Comme vous avez pu le constater la semaine dernière, le spectre d'amplitude était pair, et le spectre de phase impair. C'est normal, on a utilisé un signal réel.\n",
    "\n",
    "De ce fait, on pourrait se passer de la moitié des informations affichées, ainsi que quelques étapes relou. Et c'est là qu'intervient la transformée de Fourier réelle, une variante de la transformée de Fourier, qui est généralement plus simple à prendre en main.\n",
    "\n",
    "*\"Mais pourquoi on a passé du temps la semaine dernière sur l'autre transformée ?\"*\n",
    "\n",
    "Pour 2 raisons principalement:\n",
    "- Il n'est pas garanti que le signal d'entrée soit réel. C'est très souvent le cas, mais au-cas-où, c'est toujours mieux de savoir manier l'original\n",
    "- Nous verrons plus tard comment calculer à la main la transformée de Fourier classique. La transformée réelle étant une variante, elle demande des calculs supplémentaires bien ch**** à réaliser, donc on se contentera de faire uniquement l'originale ;)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e30d4516",
   "metadata": {},
   "source": [
    "Sur la plateforme web, construisez également ce signal, et analysez les spectres d'amplitude et de phase de la transformée **réelle** obtenue\n",
    "\n",
    "*Je le répète, pour être sûr que vous ne vous trompez pas, **_TRANSFORMEE REELLE_***\n",
    "\n",
    "Répondez maintenant aux questions suivantes:"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3dcfe50f",
   "metadata": {},
   "source": [
    "**_QUESTION :_** Sur le spectre d'amplitude, que donne la transformée de Fourier réelle ?\n",
    "\n",
    "*Note : précisez bien les **_fréquences_** et **_amplitudes_**, c'est important dans l'analyse*"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d5f178aa",
   "metadata": {},
   "source": [
    "**_REPONSE :_** On note ici un pic, à $f_0$ d'amplitude $A$"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9a85e45f",
   "metadata": {},
   "source": [
    "**_QUESTION :_** Quelle est la range du spectre d'amplitude ?\n",
    "\n",
    "*(C'est-à-dire les valeurs min et max que la phase peut prendre)*"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "dae4c568",
   "metadata": {},
   "source": [
    "**_REPONSE :_** La phase évolue de $- \\pi$ à $\\pi$"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7b03465f",
   "metadata": {},
   "source": [
    "**_QUESTION :_** Sur les deux spectres, quelles sont les fréquences min et max sur l'axe ?\n",
    "\n",
    "*Oui, cette range n'est pas affichée au hasard, mais de la même manière que le signal temporel est défini dans un intervalle de temps, le signal fréquentiel est défini dans une range de fréquences*"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "61aece69",
   "metadata": {},
   "source": [
    "**_REPONSE :_** On note que les fréquences évoluent de $0 Hz$ à $500 Hz$ (à savoir $\\frac{f_e}{2}$)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9c064cbd",
   "metadata": {},
   "source": [
    "Voilà, vous avez tous les critères primordiaux à vérifier afin de savoir si votre transformée de Fourier réelle est correcte:\n",
    "\n",
    "- L'allure du spectre d'amplitude\n",
    "- L'amplitude du pic dans le spectre d'amplitude\n",
    "- La fréquence du pic (la position sur l'axe des abscisses)\n",
    "- La range min/max de la phase\n",
    "- La range des fréquences affichées (min/max sur l'axe des abscisses)\n",
    "\n",
    "Si un seul de ces points n'est pas correct, ça veut dire **que votre transformée de Fourier réelle n'est pas correcte**. Donc, à vous vérifier chacun des points précédents dans la suite de l'exercice (et plus généralement lorsque vous calculez une transformée de Fourier réelle)."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d835a70f",
   "metadata": {},
   "source": [
    "La transformée de Fourier est réalisable avec la fonction NumPy *np.fft.fft*. Pour la transformée de Fourier réelle, il faut utiliser une autre fonction Numpy."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d9d31fe7",
   "metadata": {},
   "source": [
    "**_QUESTION :_** Quelle fonction NumPy permet de réaliser une transformée de Fourier réelle ? Quelles sont les paramètres d'entrée et que renvoit elle en sortie ?"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7231ee56",
   "metadata": {},
   "source": [
    "**_REPONSE :_** La fonction *np.fft.rfft* permet d'effectuer une transformée de Fourier réelle. Son fonctionnement est le même que *np.fft.rfft*: elle prend en entrée un tableau $a$, et quelques paramètres optionnels :\n",
    "\n",
    "    - n : Le nombre de points de $a$ à prendre en compte. Si $n > len(a)$, le signal est paddé avec des 0\n",
    "    - axis : L'axe du tableau pour performer la RFFT (si le tableau n'est pas à une dimension)\n",
    "    - norm : Le mode de la normalisation, avec plusieurs options possibles. Par défaut, le paramètres est à *backward*.\n",
    "\n",
    "*rfft* retourne le tableau *out* qui est le résultat de la FFT réelle discrète."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7c05fa15",
   "metadata": {},
   "source": [
    "On va accélérer par rapport à la semaine dernière. Ici,\n",
    "- Calculez la transformée de Fourier réelle $S(f)$ du signal $s(t)$\n",
    "- Calculez et affichez les spectres d'amplitude et de phase de $S(f)$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "027e41de",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# A COMPLETER\n",
    "# Calcul de la transformée de Fourier réelle du signal et affichage du spectre d'amplitude et de phase\n",
    "\n",
    "S = np.fft.rfft(s) # Transformée de Fourier réelle du signal\n",
    "A = np.abs(S) # Amplitude du spectre\n",
    "P = np.angle(S) # Phase du spectre\n",
    "\n",
    "plt.figure()\n",
    "plt.subplot(2,1,1)\n",
    "plt.plot(A)\n",
    "plt.title(\"Spectre en amplitude\")\n",
    "plt.subplot(2,1,2)\n",
    "plt.plot(P)\n",
    "plt.title(\"Spectre en phase\")\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4d8d1ca6",
   "metadata": {},
   "source": [
    "**_QUESTION :_** Par rapport à tous les précédents critères à valider, que vous avez identifié, lesquels sont respectés ? Lesquels ne sont pas validés ?"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7d98d96b",
   "metadata": {},
   "source": [
    "**_REPONSE :_**\n",
    "- L'allure du spectre est correcte (on a un pic)\n",
    "- L'amplitude n'est pas bonne (taille 50 alors qu'on devrait avoir un pic de 1)\n",
    "- La position fréquentielle n'est pas bonne\n",
    "- L'axe fréquentiel est inexistant ici, donc pas bon\n",
    "- La phase a l'air d'évoluer entre $- \\pi$ et $\\pi$"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cd40532d",
   "metadata": {},
   "source": [
    "Ok, vous avez donc des corrections à apporter sur ces spectres. Précisément 2 corrections.\n",
    "\n",
    "La première, c'est l'axe fréquentiel absent. Il faut le calculer, également avec une fonction NumPy. Pour la transformée classique, on utilise *np.fft.freq*, mais pour la transformée réelle, il vous faut une autre fonction"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7a688284",
   "metadata": {},
   "source": [
    "**_QUESTION :_** Quelle fonction NumPy permet de calculer l'axe fréquentiel de la transformée de Fourier réelle ? Quels sont les paramètres d'entrée, et que renvoit la fonction en sortie ?"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "61d60227",
   "metadata": {},
   "source": [
    "**_REPONSE :_** La fonction pour calculer l'axe fréquentiel est *rfftfreq*. Elle prend en entrée :\n",
    "    - *n* : La taille de la fenêtre (c'est-à-dire ici la longueur du signal dans notre cas)\n",
    "    - *d* : le temps d'échantillonage de notre fenêtre\n",
    "*rfftfreq* retourne le tableau *f* correspondant aux fréquences d'échantillonage, ce qui constitue notre axe fréquentiel."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4ab0e6bb",
   "metadata": {},
   "source": [
    "Grâce à votre nouvelle fonction, calculez l'axe fréquentiel de la transformée de Fourier réelle, et tracez les spectres d'amplitude et de phase corrigés"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "c70161bf",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# A COMPLETER\n",
    "# Calcul de l'axe fréquentiel de la transformée de Fourier réelle et affichage du spectre de amplitude et de phase\n",
    "freq = np.fft.rfftfreq(len(s),1/fe)\n",
    "\n",
    "plt.figure()\n",
    "plt.subplot(2,1,1)\n",
    "plt.plot(freq,A)\n",
    "plt.title(\"Spectre d'amplitude\")\n",
    "plt.subplot(2,1,2)\n",
    "plt.plot(freq,P)\n",
    "plt.title(\"Spectre de phase\")\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "31aa20c6",
   "metadata": {},
   "source": [
    "**_QUESTION :_** Par rapport à tous les précédents critères à valider, que vous avez identifié, lesquels sont respectés ? Lesquels ne sont pas validés ?"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "de514acd",
   "metadata": {},
   "source": [
    "**_REPONSE :_**\n",
    "- L'allure du spectre est correcte (on a un pic)\n",
    "- L'amplitude n'est toujours pas bonne\n",
    "- La position fréquentielle est correcte\n",
    "- L'axe fréquentiel est correct (min à 0 Hz, max à 500 Hz, soit la fréquence d'échantillonnage divisé par 2)\n",
    "- La phase a l'air d'évoluer entre $- \\pi$ et $\\pi$"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "42d6f7da",
   "metadata": {},
   "source": [
    "La 2ème, et dernière correction, concerne l'amplitude du spectre à normaliser. Pour la transformée de Fourier, je vous avais indiqué de diviser le spectre par le temps d'évolution du signal ($T = 0.1 s$), multiplié par la fréquence d'échantillonnage ($f_e = 1000 Hz$). \n",
    "\n",
    "Pour la transformée réelle, c'est légèrement différent, puisqu'on a un repliement du spectre des fréquences négatives dans le positif.\n",
    "\n",
    "*\"Ca veut dire quoi ce charabia ?\"*\n",
    "\n",
    "Ce n'est pas très compliqué. Ca signifie ici que le spectre d'amplitude réel à $f_0$ montre la somme des amplitudes à $f_0$ et $-f_0$ du spectre d'amplitude de la transformée classique. Etant donné que le signal est réel, le spectre d'amplitude est pair, et donc, **les amplitudes affichées sont 2 fois supérieures que sur la transformée classique**.\n",
    "\n",
    "De ce fait, la normalisation à effectuer est la suivante: \n",
    "\n",
    "\\begin{equation*}\n",
    "    A_{norm}(f) = \\frac{A(f) \\times 2}{T \\times f_e}\n",
    "\\end{equation*}\n",
    "\n",
    "Avec $A(f)$ le spectre d'amplitude, $A_{norm}(f)$ le spectre d'amplitude normalisé, $T$ la durée du signal en temporel (en secondes) et $f_e$ la fréquence d'échantillonnage.\n",
    "\n",
    "Cependant, il y a 2 endroits où il ne faut pas multiplier par 2:\n",
    "- à $0 Hz$\n",
    "- à $\\frac{f_e}{2} Hz$ si $N$, le nombre d'échantillons (la taille du spectre fréquentiel), est pair\n",
    "\n",
    "*\"Ok, mais pourquoi ?\"*\n",
    "\n",
    "Ca, on verra ça plus tard au moment d'étudier la transformée de Fourier discrète (dans quelques semaines)...\n",
    "\n",
    "Normalisez le spectre d'amplitude et affichez les spectres"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "d59472fb",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# A COMPLETER\n",
    "# Normalisation du spectre d'Aamplitude et affichage du spectre d'amplitude et de phase\n",
    "A = np.abs(S)/len(s) # Normalisation du spectre en amplitude\n",
    "\n",
    "if len(A) % 2 == 0:\n",
    "    A[1:-1] *= 2 # Si le nombre d'échantillons est pair, on multiplie par 2 les amplitudes sauf la première et la dernière\n",
    "else:\n",
    "    A[1:] *= 2 # Si le nombre d'échantillons est impair, on multiplie par 2 les amplitudes sauf la première\n",
    "\n",
    "plt.figure()\n",
    "plt.subplot(2,1,1)\n",
    "plt.plot(freq,A)\n",
    "plt.title(\"Spectre d'amplitude\")\n",
    "plt.subplot(2,1,2)\n",
    "plt.plot(freq,P)\n",
    "plt.title(\"Spectre de phase\")\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1e6c79b6",
   "metadata": {},
   "source": [
    "**_QUESTION :_** Par rapport à tous les précédents critères à valider, que vous avez identifié, lesquels sont respectés ? Lesquels ne sont pas validés ?"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "242cba0f",
   "metadata": {},
   "source": [
    "**_REPONSE :_** Tous les critères sont à présent validés :D"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0ef50981",
   "metadata": {},
   "source": [
    "Bon, bah ça s'est bien passé ! Il y a moins d'étapes que pour la FFT classique, mais ça n'empêche qu'il ne faut pas oublier quelques détails importants.\n",
    "\n",
    "Comme la semaine dernière, on pourrait également appliquer un filtrage sur le spectre de phase pour montrer les valeurs significatives (c-a-d celles où l'amplitude est non nulle). Mais bon, ce n'est pas primordial, donc on va se contenter de ce qu'on a déjà ;)\n",
    "\n",
    "Donc, comme vous avez l'habitude maintenant, complétez la golden cellule ci-dessous afin d'effectuer une transformée de Fourier réelle correcte à partir d'un signal, de sa durée $T$ et de sa fréquence d'échantillonnage $f_e$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "be646a8c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# GOLDEN CELLULE A COMPLETER\n",
    "# Transformée de Fourier réelle d'un signal et affichage des spectres d'amplitude et de phase\n",
    "\n",
    "# Paramètres (MODIFIEZ AVEC VOS NOMS DE VARIABLES)\n",
    "# s : un signal réel temporel NumPy\n",
    "# T : la durée du signal \n",
    "# fe : la fréquence d'échantillonnage\n",
    "\n",
    "S = np.fft.rfft(s) # Calcul de la FFT réelle du signal\n",
    "freq = np.fft.rfftfreq(len(s), 1/fe) # Calcul de l'axe fréquentiel\n",
    "\n",
    "A = np.abs(S) / (T * fe) # Spectre d'amplitude\n",
    "if len(A) % 2 == 0:\n",
    "    A[1:-1] *= 2 # Si le nombre d'échantillons est pair, on multiplie par 2 les amplitudes sauf la première et la dernière\n",
    "else:\n",
    "    A[1:] *= 2 # Si le nombre d'échantillons est impair, on multiplie par 2 les amplitudes sauf la première\n",
    "\n",
    "P = np.angle(S) # Spectre de phase\n",
    "\n",
    "# Filtrage du spectre de phase optionnel\n",
    "P = np.where(A > 0.01 * A.max(), np.angle(S), 0) \n",
    "\n",
    "plt.figure()\n",
    "plt.subplot(3,1,1)\n",
    "plt.plot(t, s)\n",
    "plt.title(\"Signal temporel\")\n",
    "plt.xlabel(\"Temps (s)\")\n",
    "plt.ylabel(\"Amplitude\")\n",
    "plt.subplot(3,1,2)\n",
    "plt.plot(freq, A)\n",
    "plt.title(\"Spectre d'amplitude\")\n",
    "plt.xlabel(\"Fréquence\")\n",
    "plt.ylabel(\"Amplitude\")\n",
    "plt.subplot(3,1,3)\n",
    "plt.plot(freq, P)\n",
    "plt.title(\"Spectre de phase\")\n",
    "plt.xlabel(\"Fréquence\")\n",
    "plt.ylabel(\"Phase\")\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5895474e",
   "metadata": {},
   "source": [
    "Ok, la transformée réelle, c'est fait. Passons à la transformée réelle inverse. Et pour cela, on reprend le signal fréquentiel de la semaine dernière"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "6de1d190",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Création du signal X(f) et de l'axe fréquentiel\n",
    "fe = 2000  # Fréquence d'échantillonnage\n",
    "N = 100\n",
    "\n",
    "df = fe / N\n",
    "\n",
    "# Axe fréquentiel de la RFFT : de 0 à fe/2\n",
    "freq_X = np.arange(N//2 + 1) * df\n",
    "\n",
    "# Construction du spectre X(f)\n",
    "X = np.zeros(N//2 + 1, dtype=complex)\n",
    "\n",
    "X[freq_X == 100] = 250\n",
    "\n",
    "plt.figure()\n",
    "\n",
    "plt.subplot(2,1,1)\n",
    "plt.plot(freq_X, np.abs(X) * 2 / N)\n",
    "plt.xticks(np.arange(0, fe/2 + 1, 200))\n",
    "plt.title(\"Spectre d'amplitude\")\n",
    "plt.xlabel(\"Fréquence\")\n",
    "plt.ylabel(\"Amplitude\")\n",
    "\n",
    "plt.subplot(2,1,2)\n",
    "plt.plot(freq_X, np.angle(X))\n",
    "plt.xticks(np.arange(0, fe/2 + 1, 200))\n",
    "plt.title(\"Spectre de phase\")\n",
    "plt.xlabel(\"Fréquence\")\n",
    "plt.ylabel(\"Phase\")\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b9f635e0",
   "metadata": {},
   "source": [
    "On va maintenant, comme lors du précédent TDM, calculer la transformée de Fourier inverse. On avait pour cela utilisé *np.fft.ifft*, mais petit rappel, on a un signal fréquentiel issu d'unz transformée de Fourier réelle, donc on doit utiliser une autre fonction."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e0c81a72",
   "metadata": {},
   "source": [
    "**_QUESTION :_** Quelle est la fonction NumPy à utiliser pour calculer la transformée de Fourier réelle inverse ? Quels paramètres prend elle en entrée, et que retourne elle en sortie ?"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d6f85350",
   "metadata": {},
   "source": [
    "**_REPONSE :_** La fonction à utiliser est *irfft*, qui calcule la transformée de Fourier réelle inverse d'un signal fréquentiel. La fonction prend en entrée un tableau $a$, et quelques paramètres optionnels :\n",
    "\n",
    "    - n : Le nombre de points de $a$ à prendre en compte. Si $n > len(a)$, le signal est paddé avec des 0\n",
    "    - axis : L'axe du tableau pour performer la FFT inverse (si le tableau n'est pas à une dimension)\n",
    "    - norm : Le mode de la normalisation, avec plusieurs options possibles. Par défaut, le paramètres est à *backward*.\n",
    "\n",
    " La fonction retourne *out*, le signal temporel calculé."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1eb35332",
   "metadata": {},
   "source": [
    "A vous de jouer, calculez la transformée de Fourier inverse réelle de $X(f)$. 2 infos:\n",
    "- Comme pour la transformée inverse vue la semaine dernière, il faut également calculer l'axe temporel à la main, car il n'y a pas de fonction pour cela. \n",
    "- En revanche, étant donné que la transformée de Fourier réelle utilise uniquement des signaux réels, le signal en sortie de la transformée de Fourier réelle inverse est déjà un signal temporel réel, donc on peut directement l'afficher sans post-traitement supplémentaire."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "2faf4ba3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# GOLDEN CELLULE A COMPLETER\n",
    "# Transformée de Fourier réelle inverse d'un signal fréquentiel et affichage du signal temporel\n",
    "\n",
    "# Paramètres (MODIFIEZ AVEC VOS NOMS DE VARIABLES)\n",
    "# X : un signal fréquentiel NumPy\n",
    "# fe : la fréquence d'échantillonnage\n",
    "\n",
    "# Transformée de Fourier réelle inverse du signal X(f) et affichage du signal temporel x(t)\n",
    "x = np.fft.irfft(X) # Transformée de Fourier réelle inverse du signal X(f)\n",
    "t_x = np.arange(len(x)) / fe # Axe temporel pour le signal x(t)\n",
    "\n",
    "plt.figure()\n",
    "plt.plot(t_x, x)\n",
    "plt.title(\"Signal temporel x(t)\")\n",
    "plt.xlabel(\"Temps\")\n",
    "plt.ylabel(\"Amplitude\")\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d1a963b6",
   "metadata": {},
   "source": [
    "**_QUESTION :_** Est-ce que le résultat correspond à ce que vous attendiez ?"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "46d74b00",
   "metadata": {},
   "source": [
    "**_REPONSE :_** Oui, c'est bien le cas. Au vu du spectre fréquentiel, on s'attendait à obtenir un signal temporel sinusoïdal ou cosinuîdal de fréquence $100 Hz$ et d'amplitude $5$, ce qui est bien le cas ici."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "923fb18b",
   "metadata": {},
   "source": [
    "---\n",
    "\n",
    "## Exercice 2 : Comment compresser un signal ?\n",
    "\n",
    "Dans cet exercice, on va voir comment on peut **compresser** théoriquement un signal, grâce à sa représentation fréquentielle. Pour cela, il nous faut un signal. Tracez le signal **périodique** carré de période $T$ et d'amplitude $A$, dont l'équation de la période est la suivante : \n",
    "\n",
    "\\begin{equation*}\n",
    "    c(t) = \\left \\{\n",
    "            \\begin{array}{ll}\n",
    "                A & 0 \\leq t \\leq \\frac{T}{2}\\\\\n",
    "                -A & \\frac{T}{2} \\leq t \\leq T \\\\\n",
    "            \\end{array}\n",
    "            \\right.\n",
    "\\end{equation*}\n",
    "\n",
    "Le signal évoluera de 0 à 1 secondes avec une fréquence d'échantillonage $f_e = 10000$ Hz. La période $T$ est de 0.1 secondes, et l'amplitude $A$ est à 1.\n",
    "\n",
    "Créez et tracez ce signal."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "76d71b3e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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/no/H3v9Gs/aq8mLv1ng5ur1m7Znyr+NP81M1a68q/Ts3x/vP3qdZewXXS9H5jd2atVeVPu38sDq2u6Zths/eg8uCTpUBQKhvY3zxch9N23xwwV5hR1KAG6eejsyM1rTN51dm4OtfL2na5s0MBuD4nEc1bTPhX5nYcuCspm3+0bevPAy/ptqdfprxf0ewLv03zdqryj/j/oRuIT6atff+F79i4e7/aNZefePQyVJgYCBycnJsluXk5MDT0xPu7u5wdnaGs7NzlesEBlafzRuNRhiNcp2XJSIiorqR6mq42oqMjERqqu0v+z179iAyMhIA4OrqivDwcJt1LBYLUlNTresQERFRwyZVslRYWIjMzExkZmYCuFEaIDMzE6dPnwZw4/TY8OHDreu/8MILOHXqFKZOnYpffvkFf//73/Gvf/0LkyZNsq6TkJCA5cuXY+3atTh27BhefPFFFBUVITY2VtdtIyIiovpJqtNwP/74Ix566CHr84p5QyNGjMCaNWtw/vx5a+IEAK1atcKOHTswadIkvPvuu7jrrruwYsUKREf/7zz+M888g4sXL2LGjBkwmUwICwtDSkpKpUnfRERE1DBJlSz16dNHtTZEVdW5+/Tpg4MH1Sczx8fHIz4+/nbDIyIiIgck1Wk4IiIiIr0xWSIiIiJSwWSpAVMgoPqz4JvnyHhvHhE3FNJjHLSOW8qYdQia4yzob1GlPgS0KeHfO9F3OJPzBmq3xmSJiIiISAWTpQZIwH1ohffBmKvrQ9tORNykWI8+hIctoH3RMYtoXvT+ISRmIa3+oQ+t/3Zo21zVfWj+906PqO2HyRIRERGRCiZLRERERCqYLBERERGpYLJEREREpILJEhEREZEKJktEREREKpgsEREREalgstSAiaksLV91WOEVbUW0KWOVXD2qYWvcieh947+9aNuaDjFr3oWEldL1IGP1fxnHuSaYLBERERGpYLLUAOlS0VZ4D9rTOmZdqvDW8/b060PGytKCiag6rn2Ttu3LWN0dAr6HulTDlvGvtP0wWSIiIiJSwWSJiIiISAWTJSIiIiIVTJaIiIiIVDBZIiIiIlLBZImIiIhIBZOlBkzGYokiil6KL9ImX8yA9p+l6IKlgIiYxZOxiJ+EIWtOn4Kl2pM0bLtjskRE5EBk/LdQnzrp8o0MY64/mCyRGLoUVavnJBwCWT82GeMWXXhQwiERQpfyjhLugBKGbFdMlhogGb8k+hS0lW9gJAxZ0pglDFoA0cPAUZaXo39FmCwRERERqWCyRERERKSCyRIRERGRCiZLRERERCqYLBERERGpYLJEREREpEK6ZGnp0qUICQmBm5sbIiIisG/fvmrX7dOnDwwGQ6XHgAEDrOuMHDmy0usxMTF6bIr9CagdJryCt4wxi2hThzK8WheX06NysOYVvPWIWXwXmpO1erWWZB0CRy0aKVojewdQGxs3bkRCQgKSk5MRERGBxYsXIzo6GsePH4e/v3+l9bds2YKSkhLr88uXL6Nr164YPHiwzXoxMTFYvXq19bnRaBS3EUREAsn4j7iMibQeGHP9IdWRpUWLFiEuLg6xsbHo1KkTkpOT4eHhgVWrVlW5vo+PDwIDA62PPXv2wMPDo1KyZDQabdZr1qyZHpvj0By8PlmNGCQcBRljBuTc30THzEKaN+gxDFp3IWPMjk6aZKmkpAT79+9HVFSUdZmTkxOioqKQnp5eozZWrlyJIUOGoHHjxjbL09LS4O/vj/bt2+PFF1/E5cuXVdspLi6G2Wy2echExi+JHv+IyzkuMpIvavkiFkN8gie4AxJG1h9aNSVNsnTp0iWUl5cjICDAZnlAQABMJtMt379v3z4cOXIEY8aMsVkeExODdevWITU1FW+99Ra+/PJLPProoygvL6+2rfnz58PLy8v6CA4OrttGERERUb0n1Zyl27Fy5Up07twZ3bt3t1k+ZMgQ6/937twZXbp0QevWrZGWloa+fftW2VZiYiISEhKsz81mMxMmIiIiByXNkSVfX184OzsjJyfHZnlOTg4CAwNV31tUVIQNGzZg9OjRt+wnNDQUvr6+OHHiRLXrGI1GeHp62jyIiIjIMUmTLLm6uiI8PBypqanWZRaLBampqYiMjFR976ZNm1BcXIznnnvulv38/vvvuHz5Mpo3b37bMRMREZH8pEmWACAhIQHLly/H2rVrcezYMbz44osoKipCbGwsAGD48OFITEys9L6VK1di0KBBuOOOO2yWFxYWYsqUKfj++++RnZ2N1NRUDBw4EG3atEF0dLQu20RERET1m1Rzlp555hlcvHgRM2bMgMlkQlhYGFJSUqyTvk+fPg0nJ9v87/jx4/jmm2+we/fuSu05Ozvj0KFDWLt2LfLy8hAUFIR+/fph9uzZDaLWkojiZKILngkp8Cg6Zknrjmhe4FHb5qrpQ+NCmjpELeP+IWHImpN1DGTc3+oDqZIlAIiPj0d8fHyVr6WlpVVa1r59+2qrzbq7u2PXrl1ahkdEREQORqrTcCQP1kuRcwxkjBmQNG5hMd/4cSjTmIg8gqdLjTaNu6iIWeRBIFFFSx31wBWTJSIiIiIVTJYaIJl+cVbQpfy/lOMiX9AShixlzCKI3t8cvQq0I3P07wiTJSIiIiIVTJaIiIiIVDBZIiIiIlLBZImIiIhIBZMlIiIiIhVMlhowEZVcRVeHlTFmEfSIWesudIlZ86A1bq+qLqTcAe0dgP1J+blBzr939QGTJSIiIiIVTJZICNZLEVigmSqRcX8TFXHFkQOZRkTk0Y6K+j8ijwRpvf/9L2ZNm7XtQ1C7jnrkiskSERERkQomSw2STL85b9ClgreM42LvAOpAzphljFp7wkeBwywtR//omCwRERERqWCyRERERKSCyRIRERGRCiZLRERERCqYLDVgIq7wFH/VqPY96HGlq9aXLSt6jLSEMWtNl31Dhz60JuNnqTWOQMPCZImIiIhIBZMlEkKPS/3rO4OEgyBhyADkjFvU/lFxxEOm/U/kURo9Cjxqfd18RXMij+CJ2j0c9agjkyUiIiIiFUyWGiCJfnBa6VEUUMZxkbESnIzjLGPMIogeBw6zvBz9O8JkiYiIiEgFkyUiIiIiFUyWiIiIiFQwWSIiIiJSwWSJiIiISAWTpQZM6wrNN9rUvEnh7YuOWUQfusSsdXscZ7v1oTUZY9aarGMg4u9+Q8BkiYiIiEgFkyUSwsFLbtSIjGOgRz0rEWSMWlTMFQcOZBoTsUc7boyEHlXCNW9PYNDCvusOeuCKyRIRERGRCumSpaVLlyIkJARubm6IiIjAvn37ql13zZo1MBgMNg83NzebdRRFwYwZM9C8eXO4u7sjKioKv/76q+jNsCuZfnFW0KM6rJTjImHUMsZMFcR+do5eBdqROfr3WqpkaePGjUhISEBSUhIOHDiArl27Ijo6GhcuXKj2PZ6enjh//rz18dtvv9m8vmDBArz33ntITk5GRkYGGjdujOjoaFy/fl305hAREZEEpEqWFi1ahLi4OMTGxqJTp05ITk6Gh4cHVq1aVe17DAYDAgMDrY+AgADra4qiYPHixXj99dcxcOBAdOnSBevWrcO5c+ewbds2HbaIiIiI6jtpkqWSkhLs378fUVFR1mVOTk6IiopCenp6te8rLCxEy5YtERwcjIEDB+Lnn3+2vpaVlQWTyWTTppeXFyIiIlTbLC4uhtlstnkQERGRY5ImWbp06RLKy8ttjgwBQEBAAEwmU5Xvad++PVatWoX/+7//w0cffQSLxYIePXrg999/BwDr+2rTJgDMnz8fXl5e1kdwcPDtbBoRERHVY9IkS3URGRmJ4cOHIywsDL1798aWLVvg5+eHDz/88LbaTUxMRH5+vvVx5swZjSImIiKi+kaaZMnX1xfOzs7IycmxWZ6Tk4PAwMAateHi4oJ7770XJ06cAADr+2rbptFohKenp81DRmLKYYgtsiFjzCJ60KOUiebVsLVtrpo+tO1F6/bs1YfW5ItYezJ+bgA/u7qSJllydXVFeHg4UlNTrcssFgtSU1MRGRlZozbKy8tx+PBhNG/eHADQqlUrBAYG2rRpNpuRkZFR4zaJiIjIsTWydwC1kZCQgBEjRqBbt27o3r07Fi9ejKKiIsTGxgIAhg8fjjvvvBPz588HAMyaNQt/+tOf0KZNG+Tl5eHtt9/Gb7/9hjFjxgC4caXcxIkTMWfOHLRt2xatWrXC9OnTERQUhEGDBtlrMx0C66XIOQYyxgzc+C7LRlTIFUc8ZBoSkQW8K8ZBaB9at2eQr+p4BUc9ciVVsvTMM8/g4sWLmDFjBkwmE8LCwpCSkmKdoH369Gk4Of3vYNmVK1cQFxcHk8mEZs2aITw8HN999x06depkXWfq1KkoKirC2LFjkZeXhwceeAApKSmVilcSERFRwyRVsgQA8fHxiI+Pr/K1tLQ0m+fvvPMO3nnnHdX2DAYDZs2ahVmzZmkVYr0n5a9wPfqQb1gYs05k/M6IIHoYHL0KtCNz9K+INHOWiIiIiOyByRIRERGRCiZLRERERCqYLBERERGpYLLUgIm4lFbk5bk32te+A9Ex3+hD42KJ+lR41Lg9HQo8al1IU8Zx1oEu41LPyToGssZtb0yWiIiIiFQwWSIheAmwnGMgX8TyEr9/8NME9Co7om0v/OTqHyZLREQOhKdZqibjvdxETDsQTcaYa4LJEhEREZEKJksNkIyHePWoDitjlWb5Ipaz0q+EIQsh/MQhB5rqKSZLRERERCqYLBERERGpYLJEREREpILJEhEREZEKJksNmIgLPEVfNCokZj0qeGveng7VsDXuQ8Zi2DLGrAcZL8OnG/jZ1Q2TJSIiIiIVTJZIDF4CLOUYyFg+AZDzknPRMcs4JiLoUnak3jdYRRfcP2qFyRIRkQORsYCyPjezFt+H1qSM2d4BCMJkiYiIiEgFk6UGSM7Dr1IGLZyMn6WUNxiWL2QhhJ86FNs8CSTrKfyaYrJEREREpILJEhEREZEKJktEREREKpgsNWQCLrVQBF++IaJ5XQo8atyFjFcP6ROzxoU0dQhayiueJIxZa7KOgaxx2xuTJSIiIiIVTJZICMe+LqJmZLw4RMKQAcg51qJxSG7Q4+pLrfc/XWLmHlIrTJaIiIiIVDBZIiJyIDLeKFWfG0PLR8qYZQy6BpgsEREREalgstQAyTi/Q5ebYco4LjLOO5AxZAljFkH0/uboVaAdmaN/ckyWiIiIiFRIlywtXboUISEhcHNzQ0REBPbt21ftusuXL0evXr3QrFkzNGvWDFFRUZXWHzlyJAwGg80jJiZG9GYQERGRJKRKljZu3IiEhAQkJSXhwIED6Nq1K6Kjo3HhwoUq109LS8PQoUOxd+9epKenIzg4GP369cPZs2dt1ouJicH58+etj3/+8596bA4RERFJQKpkadGiRYiLi0NsbCw6deqE5ORkeHh4YNWqVVWuv379erz00ksICwtDhw4dsGLFClgsFqSmptqsZzQaERgYaH00a9ZMj82xOxEXLYi+EEJERWVdKktLeF2L1hHrUg27nrdXdR/cN2Qk4+cG8LOrK2mSpZKSEuzfvx9RUVHWZU5OToiKikJ6enqN2rh69SpKS0vh4+NjszwtLQ3+/v5o3749XnzxRVy+fFm1neLiYpjNZpsHEREROSZpkqVLly6hvLwcAQEBNssDAgJgMplq1MYrr7yCoKAgm4QrJiYG69atQ2pqKt566y18+eWXePTRR1FeXl5tO/Pnz4eXl5f1ERwcXLeNcmC8qkXOq0Nk/dhkvCpQ9HdE1s9Sa7pcSavx/serf+ufRvYOQC9vvvkmNmzYgLS0NLi5uVmXDxkyxPr/nTt3RpcuXdC6dWukpaWhb9++VbaVmJiIhIQE63Oz2cyEiYjqBRmLAuoSs4QDI2HIDnuaT5ojS76+vnB2dkZOTo7N8pycHAQGBqq+d+HChXjzzTexe/dudOnSRXXd0NBQ+Pr64sSJE9WuYzQa4enpafMgIiIixyRNsuTq6orw8HCbydkVk7UjIyOrfd+CBQswe/ZspKSkoFu3brfs5/fff8fly5fRvHlzTeImIiIiuUmTLAFAQkICli9fjrVr1+LYsWN48cUXUVRUhNjYWADA8OHDkZiYaF3/rbfewvTp07Fq1SqEhITAZDLBZDKhsLAQAFBYWIgpU6bg+++/R3Z2NlJTUzFw4EC0adMG0dHRdtlGPUg5v0OXPiQcF/lClnCU5dw3RBC9v3GU5SXj36LakGrO0jPPPIOLFy9ixowZMJlMCAsLQ0pKinXS9+nTp+Hk9L/874MPPkBJSQmeeuopm3aSkpLwxhtvwNnZGYcOHcLatWuRl5eHoKAg9OvXD7Nnz4bRaNR124iIiKh+kipZAoD4+HjEx8dX+VpaWprN8+zsbNW23N3dsWvXLo0iIyIiIkck1Wk40paIKy1EX70hYyFNQPtx0aXAo8Z9yDjOegQt4xVPcgatLVmHQNa47Y3JEhEREZEKJkskhIPP9asRGQtzyhgzIOfkUtEhc1L6DbpcHKJxJzLG7OiYLBERERGpYLJERER2pc8Ni+Uj48169ZhPaQ9MloiIiIhUMFlqiCQ8V63HXBoZz+HLGbN8QUsYshDCx4HjLC1H/+iYLBERERGpYLJEREREpKLOydLXX3+N5557DpGRkTh79iwA4B//+Ae++eYbzYIjIiIisrcaJUsZGRkoLS21Pv/kk08QHR0Nd3d3HDx4EMXFxQCA/Px8zJs3T0ykpDkRV1oIvw5CwqrjIugRs+bFsHUZZ62rjutQKV14D9qTMWatyTsG8kZuTzVOlvr164eCggIAwJw5c5CcnIzly5fDxcXFul7Pnj1x4MABMZESERER2UGNbqQ7YcIElJaWonfv3jhw4ACOHz+OBx98sNJ6Xl5eyMvL0zpGkhCvHnL8q0PqExnHWvR3hN/BG3j1ZTV9SPmtsZ8aJUsAMHnyZERGRgIAAgMDceLECYSEhNis88033yA0NFTTAImIiIjsqVYTvHv06AEAiIuLw1//+ldkZGTAYDDg3LlzWL9+PV5++WW8+OKLQgIlIqJbk3MOng5zw6QcF3tHUHsShlwjNT6ydLNp06bBYrGgb9++uHr1Kh588EEYjUa8/PLLGD9+vNYxEhEREdlNnZIlg8GA1157DVOmTMGJEydQWFiITp06oUmTJlrHRwLIeKZal7tw69CH9uSLWr6I5YxZBNHzXDjO8pJxblht1KnO0qhRo1BQUABXV1d06tQJ3bt3R5MmTVBUVIRRo0ZpHSMRERGR3dQpWVq7di2uXbtWafm1a9ewbt262w6KiIiIqL6o1Wk4s9kMRVGgKAoKCgrg5uZmfa28vBw7d+6Ev7+/5kESERER2UutkiVvb28YDAYYDAa0a9eu0usGgwEzZ87ULDgSS8SVFqKvahHRui5VmjXuQo8rThizTpXSJbzkScKQNSfj5wbws6urWiVLe/fuhaIoePjhh/HJJ5/Ax8fH+pqrqytatmyJoKAgzYMkIiIispdaJUu9e/cGAGRlZaFFixYOP/ud6o67hrxjYDDI9+tTxr9Fwit4i22ebqL1Z6lHdW0JvzJ2VeNk6dChQ7jnnnvg5OSE/Px8HD58uNp1u3TpoklwRERERPZW42QpLCwMJpMJ/v7+CAsLg8FgqPKcrcFgQHl5uaZBEhFRzegxB09rusxnk3BcpOSgw1zjZCkrKwt+fn7W/yciIiJqCGqcLLVs2bLK/yf5cH6H/frQGmPWiZRBCyB6nhXHWVqO/tHVuSjljh07rM+nTp0Kb29v9OjRA7/99ptmwRERERHZW52SpXnz5sHd3R0AkJ6ejvfffx8LFiyAr68vJk2apGmARERERPZUpxvpnjlzBm3atAEAbNu2DU899RTGjh2Lnj17ok+fPlrGRwLJdnk4IKgQnB6FBzXuRJdiiZrHrEPxT63b02Wc5SNrQUYtyToCssZtb3U6stSkSRNcvnwZALB792488sgjAAA3N7cq7xlHREREJKs6JUuPPPIIxowZgzFjxuA///kP+vfvDwD4+eefERISomV8lSxduhQhISFwc3NDREQE9u3bp7r+pk2b0KFDB7i5uaFz587YuXOnzeuKomDGjBlo3rw53N3dERUVhV9//VXkJjQIehRVq+9kHQMZo5YzZrFRc7L0DbpcHKLxZ6lPzFQbdUqWli5disjISFy8eBGffPIJ7rjjDgDA/v37MXToUE0DvNnGjRuRkJCApKQkHDhwAF27dkV0dDQuXLhQ5frfffcdhg4ditGjR+PgwYMYNGgQBg0ahCNHjljXWbBgAd577z0kJycjIyMDjRs3RnR0NK5fvy5sO4iIiEgedZqz5O3tjffff7/SctE30V20aBHi4uIQGxsLAEhOTsaOHTuwatUqTJs2rdL67777LmJiYjBlyhQAwOzZs7Fnzx68//77SE5OhqIoWLx4MV5//XUMHDgQALBu3ToEBARg27ZtGDJkiNDtISIiovqvTskSAOTl5WHfvn24cOECLBaLdbnBYMDzzz+vSXA3Kykpwf79+5GYmGhd5uTkhKioKKSnp1f5nvT0dCQkJNgsi46OxrZt2wDcKK5pMpkQFRVlfd3LywsRERFIT0+vNlkqLi5GcXGx9bnZbK7rZhERaUrGude6TKSXclzkC9pRK6XXKVn69NNPMWzYMBQWFsLT09Pm3LioZOnSpUsoLy9HQECAzfKAgAD88ssvVb7HZDJVub7JZLK+XrGsunWqMn/+fOFH0YiIiKh+qNOcpcmTJ2PUqFEoLCxEXl4erly5Yn3k5uZqHWO9k5iYiPz8fOvjzJkz9g6pVmSc2KfLXbglHBn5ImbMMhM9DpyTLi9H/+jqlCydPXsWEyZMgIeHh9bxVMvX1xfOzs7IycmxWZ6Tk4PAwMAq3xMYGKi6fsV/a9MmABiNRnh6eto8iIiIyDHVKVmKjo7Gjz/+qHUsqlxdXREeHo7U1FTrMovFgtTUVERGRlb5nsjISJv1AWDPnj3W9Vu1aoXAwECbdcxmMzIyMqptk4iIiBqWOs1ZGjBgAKZMmYKjR4+ic+fOcHFxsXn98ccf1yS4P0pISMCIESPQrVs3dO/eHYsXL0ZRUZH16rjhw4fjzjvvxPz58wEAf/3rX9G7d2/87W9/w4ABA7Bhwwb8+OOPWLZsGYAb86smTpyIOXPmoG3btmjVqhWmT5+OoKAgDBo0SMg21CcipuGJno8oJGYBbVbqQ+NOdJlEKeE8Te3HWQcyjrO9A6gHJJx7DUDOSeP1QZ2Spbi4OADArFmzKr1mMBhQXl5+e1FV45lnnsHFixcxY8YMmEwmhIWFISUlxTpB+/Tp03By+t/Bsh49euDjjz/G66+/jldffRVt27bFtm3bcM8991jXmTp1KoqKijB27Fjk5eXhgQceQEpKCtzc3IRsAxEREcmlTsnSzaUC9BYfH4/4+PgqX0tLS6u0bPDgwRg8eHC17RkMBsyaNavKxI/qjhM15R0Dg8Eg389mCcda1v1DNrpcHKJxF3rsGtz/aqdOc5ZuxkrXRERE5MjqlCyVl5dj9uzZuPPOO9GkSROcOnUKADB9+nSsXLlS0wCJiIiI7KlOydLcuXOxZs0aLFiwAK6urtbl99xzD1asWKFZcEREVDuSnUD9L/FRyzguUsYsY9A1UKdkad26dVi2bBmGDRsGZ2dn6/KuXbtWW02biIiISEZ1LkrZpk2bSsstFgtKS0tvOygSS8aJfXrEzHHRh0HCoCUMWQjRnx2HWWIO/iWpU7LUqVMnfP3115WWb968Gffee+9tB0VERERUX9SpdMCMGTMwYsQInD17FhaLBVu2bMHx48exbt06fPbZZ1rHSIKIKE4muliiiPPhehRp07oHXe7SrnV7utxZXttO9Nk35Jvk4ajzUmpF0jGQNGy7q9ORpYEDB+LTTz/F559/jsaNG2PGjBk4duwYPv30UzzyyCNax0hERERkN3U6sgQAvXr1wp49e7SMhYjqARlnHjDmKtqXcVAE0GW+o+YN6lKWUoc+HEedjiyFhobi8uXLlZbn5eUhNDT0toMiIiIiqi/qlCxlZ2dXef+34uJinD179raDIiIiIqovanUabvv27db/37VrF7y8vKzPy8vLkZqaipCQEM2CIyIiIrK3WiVLgwYNAnCj1saIESNsXnNxcUFISAj+9re/aRYcERHVjh5X8GlNnyslxfehNcZcf9QqWbJYLACAVq1a4YcffoCvr6+QoIiIiIjqizpdDZeVlaV1HKQjA6+CcBgyfpbyRSxnzCKIv4KPIy0rR//k6lw6IDU1Fampqbhw4YL1iFOFVatW3XZgRERERPVBnZKlmTNnYtasWejWrRuaN2/OXwNkJfp8tYhqx3qcYte8srSmrVXTh8ad6FGpWvOq4xq3V2UfEs7xkDBkzclYeR2Qc3+rD+qULCUnJ2PNmjV4/vnntY6HiIiIqF6pU52lkpIS9OjRQ+tYyIHwaKO8FZRljFvK/U1wzDIOiQi61MLWeLD1iVmHThxInZKlMWPG4OOPP9Y6FiIiIqJ6p06n4a5fv45ly5bh888/R5cuXeDi4mLz+qJFizQJjoiIiMje6pQsHTp0CGFhYQCAI0eOaBkPERHdBhnn7+oykV7CkWHM9UedkqW9e/dqHQcRERFRvVSrZOkvf/nLLdcxGAz45JNP6hwQiSfjxD49YpZxkrCEIUtZvU7GfUME0cPAUZaXo39FapUs3XzjXCIiIqKGoFbJ0urVq0XFQXYgojiZ8KKUEsYMCJiToUPQWs89kPFmqTLGrAcZb9arNVmHgJ9d3dSpdAARERFRQ8FkiYRw8NPXNSLjTW4BOeOWL2Idbkor5ahoT5f5jlq3J2HMjo7JEhEREZEKJktEREREKpgsEREREamQJlnKzc3FsGHD4OnpCW9vb4wePRqFhYWq648fPx7t27eHu7s7WrRogQkTJiA/P99mPYPBUOmxYcMG0ZtDRCSEjBc76RIzx0UXMsZcE3Wq4G0Pw4YNw/nz57Fnzx6UlpYiNjYWY8eOrfaGvufOncO5c+ewcOFCdOrUCb/99hteeOEFnDt3Dps3b7ZZd/Xq1YiJibE+9/b2FrkpREREJBEpkqVjx44hJSUFP/zwA7p16wYAWLJkCfr374+FCxciKCio0nvuuecem0rirVu3xty5c/Hcc8+hrKwMjRr9b9O9vb0RGBgofkPqCRmvgtCjgrKU42LvAOpAxqu05ItYDOFX8HGgpSXj97o2pDgNl56eDm9vb2uiBABRUVFwcnJCRkZGjdvJz8+Hp6enTaIEAOPGjYOvry+6d++OVatW3bJoV3FxMcxms82DiIiIHJMUR5ZMJhP8/f1tljVq1Ag+Pj4wmUw1auPSpUuYPXs2xo4da7N81qxZePjhh+Hh4YHdu3fjpZdeQmFhISZMmFBtW/Pnz8fMmTNrvyH1jIi7Q4u+47SI1nWZLqF1ZWltm6u6Dxlj1rwXPSqlk4xk/dxkjdve7Hpkadq0aVVOsL758csvv9x2P2azGQMGDECnTp3wxhtv2Lw2ffp09OzZE/feey9eeeUVTJ06FW+//bZqe4mJicjPz7c+zpw5c9sxEhERUf1k1yNLkydPxsiRI1XXCQ0NRWBgIC5cuGCzvKysDLm5ubeca1RQUICYmBg0bdoUW7duhYuLi+r6ERERmD17NoqLi2E0Gqtcx2g0Vvsa3cC5BxKPgYRxyzjWomOWcUxE0GW+o8Zd6DH/R49xcSR2TZb8/Pzg5+d3y/UiIyORl5eH/fv3Izw8HADwxRdfwGKxICIiotr3mc1mREdHw2g0Yvv27XBzc7tlX5mZmWjWrBmTISIiIgIgyZyljh07IiYmBnFxcUhOTkZpaSni4+MxZMgQ65VwZ8+eRd++fbFu3Tp0794dZrMZ/fr1w9WrV/HRRx/ZTMT28/ODs7MzPv30U+Tk5OBPf/oT3NzcsGfPHsybNw8vv/yyPTeXiIiI6hEpkiUAWL9+PeLj49G3b184OTnhySefxHvvvWd9vbS0FMePH8fVq1cBAAcOHLBeKdemTRubtrKyshASEgIXFxcsXboUkyZNgqIoaNOmDRYtWoS4uDj9NoyIiIjqNWmSJR8fn2oLUAJASEiIzSX/ffr0uWUJgJiYGJtilERE8pPveifRV9He6EM+jLn+kKLOEhEREZG9MFlqiCS8CEKPkGW8OETGK1okDFnKmEUQv79xoGXl6N8RJktEREREKpgsNWAi7g4t/I7TQmLW4Sy71tWw5QtZyjvL6zLOEt6mXcKQNSfj5wbAcScVCcZkiYiIiEgFkyUSwtHvQF0Tso6AjHHLuL9x9o8+9JnvqG0vesz/4f5RO0yWiIiIiFQwWSIiIiJSwWSJiIiISAWTJSIiByLjRVq86rBqEoYsZcw1wWSJiIiISAWTpQZIyiuHeHWIw5BxnGX8zogg/Ao+DrO0HP2jY7LUgIk4Wiq+JqX2PehTK1HbXnS58ajGx9NlvFmqhHU0daHHZ1nfyToCssZtb0yWiIiIiFQwWSIheDhdzpvcAnJ+dnLGLDZoWfc/zUk4DLxxeP3DZImIiIhIBZMlIiIiIhVMloiIiIhUMFkiIiIiUsFkiYjIgch4abg+FbzF96E9GYOWMeZbY7JEREREpILJUgMk4yWjelRQlvFSawlDljJmGS8/F0LwOHCY5SXl97oWmCw1YEJuLCn4CKyQQ+kSngKQ8bQFY7ZfH1qTMWatyToGMt5QuD5gskRERESkgskSCeHgR2RrRNYx4E1j9SH8prSC25eF6P1ZxOknfW4czj2kNpgsEREREalgskRERESkgskSERERkQomS0REREQqmCwRETkQGa8MV3So3yHhsMj5WUoYc00wWSIiIiJSIU2ylJubi2HDhsHT0xPe3t4YPXo0CgsLVd/Tp08fGAwGm8cLL7xgs87p06cxYMAAeHh4wN/fH1OmTEFZWZnITbG7igtGxdR3FPOzouJSWpExi7xcV+u4K9qT8fJfkTFrvf9Z9w1NW63ciywqPjtREctUBVqPo2EiCPvsJPxbVBuN7B1ATQ0bNgznz5/Hnj17UFpaitjYWIwdOxYff/yx6vvi4uIwa9Ys63MPDw/r/5eXl2PAgAEIDAzEd999h/Pnz2P48OFwcXHBvHnzhG0LERERyUOKZOnYsWNISUnBDz/8gG7dugEAlixZgv79+2PhwoUICgqq9r0eHh4IDAys8rXdu3fj6NGj+PzzzxEQEICwsDDMnj0br7zyCt544w24uroK2Z6GQKZfiKLIOgYyxs37+lXVgeD2JSF6nEU0r8f+LOFXxq6kOA2Xnp4Ob29va6IEAFFRUXByckJGRobqe9evXw9fX1/cc889SExMxNWrV23a7dy5MwICAqzLoqOjYTab8fPPP1fbZnFxMcxms82DiIiIHJMUR5ZMJhP8/f1tljVq1Ag+Pj4wmUzVvu/ZZ59Fy5YtERQUhEOHDuGVV17B8ePHsWXLFmu7NydKAKzP1dqdP38+Zs6cWdfNISIiIonYNVmaNm0a3nrrLdV1jh07Vuf2x44da/3/zp07o3nz5ujbty9OnjyJ1q1b17ndxMREJCQkWJ+bzWYEBwfXuT0iIiKqv+yaLE2ePBkjR45UXSc0NBSBgYG4cOGCzfKysjLk5uZWOx+pKhEREQCAEydOoHXr1ggMDMS+ffts1snJyQEA1XaNRiOMRmON+yUiIiJ52TVZ8vPzg5+f3y3Xi4yMRF5eHvbv34/w8HAAwBdffAGLxWJNgGoiMzMTANC8eXNru3PnzsWFCxesp/n27NkDT09PdOrUqZZbQ0RERI5IigneHTt2RExMDOLi4rBv3z58++23iI+Px5AhQ6xXwp09exYdOnSwHik6efIkZs+ejf379yM7Oxvbt2/H8OHD8eCDD6JLly4AgH79+qFTp054/vnn8dNPP2HXrl14/fXXMW7cOB45IiIpKRKWUNYjZAmHRc6Y7R2AIFIkS8CNq9o6dOiAvn37on///njggQewbNky6+ulpaU4fvy49Wo3V1dXfP755+jXrx86dOiAyZMn48knn8Snn35qfY+zszM+++wzODs7IzIyEs899xyGDx9uU5eJiIiIGjYproYDAB8fH9UClCEhITa/qIKDg/Hll1/est2WLVti586dmsQoC4PActiifglZq44L6KCiSZFlR7SO2xqzyKrjGg91xRjIFfON/8oUs0jWPx3CvucSFf+R6HO7mbD9TaKPri6kObJEREREZA9MlkgQB/+ZUQMyVpUG5Pzk5IxZbNQyjokIwgulS/o9p9phskRERESkgskSERERkQomS0REREQqmCwRERERqWCyRETkQCS9ol04RcKRkTJmmWph1AKTJSIiIiIVTJYaIIE1KcX9DhIZc0WjAi8B1jruil+cQgtpahy1LgUeBbUn8jJ/mX6HW4vDCopapqvwZfrcbibssxPSav3BZImIiIhIBZMlEkKmX4hkS8YiexKGLPynuIyfowiih0FE83p8dNw9aofJEhEREZEKJktEREREKpgsEREREalgskRERESkgskSERERkQomS0REDkTGAsp6xMxx0YeEIdcIkyUiIiIiFUyWGiBrFV4BP1tE3ReoooKyiOZ1qYYtqLS00GrYGsf8v+YEVsPWOOiK9mQaZ5Gs1f8FxSxT6R+ZPrebCfvsHLxwE5MlIiIiIhVMlkgIx/6NUXMy/tiSMGSOsx3al4XI+/oBYvY90TEDjn8kSGtMloiIiIhUMFkiIiIiUsFkiYiIiEgFkyUiIiIiFUyWiIiIiFQwWSIiciCKhDWUZYxZDzKOiqz1p26FyRIRERGRCiZLDZC1Cq+AtkX9qNCjgrLQPjQemYrWRNZK0bzouC7jLIZM+4ZI4msWyVP7R6bP7WbCviOC2q0vmCwRERERqWCyRELI9AtRJClHQcKg9ah4rDXRXxF+BW8QPs4C9j09PjvuHrUjTbKUm5uLYcOGwdPTE97e3hg9ejQKCwurXT87OxsGg6HKx6ZNm6zrVfX6hg0b9NgkIiIikkAjewdQU8OGDcP58+exZ88elJaWIjY2FmPHjsXHH39c5frBwcE4f/68zbJly5bh7bffxqOPPmqzfPXq1YiJibE+9/b21jx+IiIikpMUydKxY8eQkpKCH374Ad26dQMALFmyBP3798fChQsRFBRU6T3Ozs4IDAy0WbZ161Y8/fTTaNKkic1yb2/vSusSERERAZKchktPT4e3t7c1UQKAqKgoODk5ISMjo0Zt7N+/H5mZmRg9enSl18aNGwdfX190794dq1atgnKLQhHFxcUwm802DyIiInJMUhxZMplM8Pf3t1nWqFEj+Pj4wGQy1aiNlStXomPHjujRo4fN8lmzZuHhhx+Gh4cHdu/ejZdeegmFhYWYMGFCtW3Nnz8fM2fOrP2GEBERkXTsemRp2rRp1U7Crnj88ssvt93PtWvX8PHHH1d5VGn69Ono2bMn7r33XrzyyiuYOnUq3n77bdX2EhMTkZ+fb32cOXPmtmMkItKEhOV/9Kj6fKszBvWRhCHLuPvViF2PLE2ePBkjR45UXSc0NBSBgYG4cOGCzfKysjLk5ubWaK7R5s2bcfXqVQwfPvyW60ZERGD27NkoLi6G0Wisch2j0VjtazIR8UXU64+elqUJdPlya9yJHn/4te5DlyJ+mo+ztu3Zqw+tyZh4aE3aIZA1bjuza7Lk5+cHPz+/W64XGRmJvLw87N+/H+Hh4QCAL774AhaLBREREbd8/8qVK/H444/XqK/MzEw0a9bMIZKh6slXYUOPiKWs1WPvAOpAzphljFp7rN1E1XH0fUOKOUsdO3ZETEwM4uLikJycjNLSUsTHx2PIkCHWK+HOnj2Lvn37Yt26dejevbv1vSdOnMBXX32FnTt3Vmr3008/RU5ODv70pz/Bzc0Ne/bswbx58/Dyyy/rtm2OysG/NzVmMBik+wkq42cn4x9q4bcOkfKT1J7wURDQgS4/Drl71IoUyRIArF+/HvHx8ejbty+cnJzw5JNP4r333rO+XlpaiuPHj+Pq1as271u1ahXuuusu9OvXr1KbLi4uWLp0KSZNmgRFUdCmTRssWrQIcXFxwreHiIiI5CBNsuTj41NtAUoACAkJqfI8+rx58zBv3rwq3xMTE2NTjJKIiIjoj6Sos0RERERkL0yWiIiIiFQwWSIiIiJSwWSJiIiISAWTJSIiByJXoYob9IhZznGRL2pHLVjKZKkBE/FF1OWPnoxVmrVujzFX3YfGUevxj5WM/7Q46L+HtSLrEMiYgNUHTJYaIBmLkWl5e5Pq+xDehfYkjFnGcZYxZhFEjwPHWV6O/tkxWSIhHP2LU1MyDoMeianW5IuYiYduBA+EiNb1+OxY4b12mCwRERERqWCyRERERKSCyRIRERGRCiZLRERERCqYLBERERGpYLJEREREpILJUgMmpLCcDtXqZCylqXkhTW2bq7oPxqxPIU2NO5GzYKmE30EZBxosKFpXTJaIiIiIVDBZaoD0KEWmdVE1XWIW0abowoMCopYxZhkrMEoYMkR/E0WMiehhFhOzfHcscPQil0yWiIiIiFQwWSIiIiJSwWSJiIiISAWTJSIiIiIVTJaIiIiIVDBZIiIiIlLBZImIiIhIBZOlBkxEJVd9qjTLWPFYvpg1/zSlrNKsbXt60Hpfq7IPGau7S/gdFHKTBQFt2rQv4XemJpgsEREREalgstQAGXQoHax1NVc9qh3LWImXFY//26b2Tdq2LyBo8fsGq7sDjLnaPrRuz7ELeDNZIiIiIlLDZImIiIhIBZMlIiIiIhVMloiIiIhUSJMszZ07Fz169ICHhwe8vb1r9B5FUTBjxgw0b94c7u7uiIqKwq+//mqzTm5uLoYNGwZPT094e3tj9OjRKCwsFLAFREREJCNpkqWSkhIMHjwYL774Yo3fs2DBArz33ntITk5GRkYGGjdujOjoaFy/ft26zrBhw/Dzzz9jz549+Oyzz/DVV19h7NixIjaBiIiIJNTI3gHU1MyZMwEAa9asqdH6iqJg8eLFeP311zFw4EAAwLp16xAQEIBt27ZhyJAhOHbsGFJSUvDDDz+gW7duAIAlS5agf//+WLhwIYKCgoRsS31RZrHg9ytXNW2zpMyiaXtVOZt3Dc5O2l2neq20XLO2qnMu7zrKLdpVayssLtWsreqY8ovh5uKsWXvm62WatVWdS4XFmu7TV66WaNZWdS4Xlmga86XCYs3aqk7+tVJNY75gFh9z4fUyTWM2ma/feqXbVFSsbcyA9kV9/+h6abnmMVcI8HSDi7N9jvFIkyzVVlZWFkwmE6KioqzLvLy8EBERgfT0dAwZMgTp6enw9va2JkoAEBUVBScnJ2RkZOCJJ56osu3i4mIUF//vy202m8VtiEA55mI88NZee4dRa73fTrN3CLX25Aff2TuEWntuZYa9Q6i1aVsO2zuEWpv12VHM+uyovcOolVXfZmHVt1n2DqNWtmWew7bMc/YOo1Z2H83B7qM59g6jVn787Yqwf1e+mNwboX5NhLR9Kw6bLJlMJgBAQECAzfKAgADrayaTCf7+/javN2rUCD4+PtZ1qjJ//nzrkS4ZtQ9oio7NPXHqopi5WUHe7uhyl5embXq5u6BPez+kn7ysabsVfJsY0b3VHZq3+3hYED79Scwf6KZujdC7nZ/m7T7eNQgbfjijebsA4OHqjIc6+N96xVoa0Lk5/pNToOnRuwouzk6IuTtQ83Zj7glE5pk8lJZrfzTWyWDAgM7ax9y3gz/+ffg8rpZofzTWYAD+3KW55u32auuH9RmnYb4m5mjs4121PwMR2foOBHq6CTuyGd6yGXybGDVvM9jHXehRQj0KKlfbtyL6mJyKadOm4a233lJd59ixY+jQoYP1+Zo1azBx4kTk5eWpvu+7775Dz549ce7cOTRv/r8v4NNPPw2DwYCNGzdi3rx5WLt2LY4fP27zXn9/f8ycObPa+VFVHVkKDg5Gfn4+PD09VeMiIiKi+sFsNsPLy+uW/37b9cjS5MmTMXLkSNV1QkND69R2YOCNX1U5OTk2yVJOTg7CwsKs61y4cMHmfWVlZcjNzbW+vypGoxFGo7ZZOREREdVPdk2W/Pz84Oen/WkEAGjVqhUCAwORmppqTY7MZjMyMjKsR4wiIyORl5eH/fv3Izw8HADwxRdfwGKxICIiQkhcREREJBdpSgecPn0amZmZOH36NMrLy5GZmYnMzEybmkgdOnTA1q1bAdw4tzlx4kTMmTMH27dvx+HDhzF8+HAEBQVh0KBBAICOHTsiJiYGcXFx2LdvH7799lvEx8djyJAhDn8lHBEREdWMNBO8Z8yYgbVr11qf33vvvQCAvXv3ok+fPgCA48ePIz8/37rO1KlTUVRUhLFjxyIvLw8PPPAAUlJS4ObmZl1n/fr1iI+PR9++feHk5IQnn3wS7733nj4bRURERPWeXSd4O4qaThAjIiKi+qOm/35LcxqOiIiIyB6YLBERERGpYLJEREREpILJEhEREZEKJktEREREKpgsEREREalgskRERESkgskSERERkQomS0REREQqpLndSX1WUQTdbDbbORIiIiKqqYp/t291MxMmSxooKCgAAAQHB9s5EiIiIqqtgoICeHl5Vfs67w2nAYvFgnPnzqFp06YwGAyatWs2mxEcHIwzZ87wnnMCcZz1w7HWB8dZHxxnfYgcZ0VRUFBQgKCgIDg5VT8ziUeWNODk5IS77rpLWPuenp78IuqA46wfjrU+OM764DjrQ9Q4qx1RqsAJ3kREREQqmCwRERERqWCyVI8ZjUYkJSXBaDTaOxSHxnHWD8daHxxnfXCc9VEfxpkTvImIiIhU8MgSERERkQomS0REREQqmCwRERERqWCyRERERKSCyZKdLV26FCEhIXBzc0NERAT27dunuv6mTZvQoUMHuLm5oXPnzti5c6dOkcqtNuO8fPly9OrVC82aNUOzZs0QFRV1y8+F/qe2+3SFDRs2wGAwYNCgQWIDdBC1Hee8vDyMGzcOzZs3h9FoRLt27fj3owZqO86LFy9G+/bt4e7ujuDgYEyaNAnXr1/XKVo5ffXVV3jssccQFBQEg8GAbdu23fI9aWlpuO+++2A0GtGmTRusWbNGbJAK2c2GDRsUV1dXZdWqVcrPP/+sxMXFKd7e3kpOTk6V63/77beKs7OzsmDBAuXo0aPK66+/rri4uCiHDx/WOXK51Hacn332WWXp0qXKwYMHlWPHjikjR45UvLy8lN9//13nyOVT27GukJWVpdx5551Kr169lIEDB+oTrMRqO87FxcVKt27dlP79+yvffPONkpWVpaSlpSmZmZk6Ry6X2o7z+vXrFaPRqKxfv17JyspSdu3apTRv3lyZNGmSzpHLZefOncprr72mbNmyRQGgbN26VXX9U6dOKR4eHkpCQoJy9OhRZcmSJYqzs7OSkpIiLEYmS3bUvXt3Zdy4cdbn5eXlSlBQkDJ//vwq13/66aeVAQMG2CyLiIhQ/t//+39C45Rdbcf5j8rKypSmTZsqa9euFRWiw6jLWJeVlSk9evRQVqxYoYwYMYLJUg3Udpw/+OADJTQ0VCkpKdErRIdQ23EeN26c8vDDD9ssS0hIUHr27Ck0TkdSk2Rp6tSpyt13322z7JlnnlGio6OFxcXTcHZSUlKC/fv3IyoqyrrMyckJUVFRSE9Pr/I96enpNusDQHR0dLXrU93G+Y+uXr2K0tJS+Pj4iArTIdR1rGfNmgV/f3+MHj1ajzClV5dx3r59OyIjIzFu3DgEBATgnnvuwbx581BeXq5X2NKpyzj36NED+/fvt56qO3XqFHbu3In+/fvrEnNDYY9/C3kjXTu5dOkSysvLERAQYLM8ICAAv/zyS5XvMZlMVa5vMpmExSm7uozzH73yyisICgqq9OUkW3UZ62+++QYrV65EZmamDhE6hrqM86lTp/DFF19g2LBh2LlzJ06cOIGXXnoJpaWlSEpK0iNs6dRlnJ999llcunQJDzzwABRFQVlZGV544QW8+uqreoTcYFT3b6HZbMa1a9fg7u6ueZ88skSk4s0338SGDRuwdetWuLm52Tsch1JQUIDnn38ey5cvh6+vr73DcWgWiwX+/v5YtmwZwsPD8cwzz+C1115DcnKyvUNzKGlpaZg3bx7+/ve/48CBA9iyZQt27NiB2bNn2zs0uk08smQnvr6+cHZ2Rk5Ojs3ynJwcBAYGVvmewMDAWq1PdRvnCgsXLsSbb76Jzz//HF26dBEZpkOo7VifPHkS2dnZeOyxx6zLLBYLAKBRo0Y4fvw4WrduLTZoCdVln27evDlcXFzg7OxsXdaxY0eYTCaUlJTA1dVVaMwyqss4T58+Hc8//zzGjBkDAOjcuTOKioowduxYvPbaa3By4vEJLVT3b6Gnp6eQo0oAjyzZjaurK8LDw5GammpdZrFYkJqaisjIyCrfExkZabM+AOzZs6fa9alu4wwACxYswOzZs5GSkoJu3brpEar0ajvWHTp0wOHDh5GZmWl9PP7443jooYeQmZmJ4OBgPcOXRl326Z49e+LEiRPWZBQA/vOf/6B58+ZMlKpRl3G+evVqpYSoIkFVeBtWzdjl30JhU8fpljZs2KAYjUZlzZo1ytGjR5WxY8cq3t7eislkUhRFUZ5//nll2rRp1vW//fZbpVGjRsrChQuVY8eOKUlJSSwdUAO1Hec333xTcXV1VTZv3qycP3/e+igoKLDXJkijtmP9R7warmZqO86nT59WmjZtqsTHxyvHjx9XPvvsM8Xf31+ZM2eOvTZBCrUd56SkJKVp06bKP//5T+XUqVPK7t27ldatWytPP/20vTZBCgUFBcrBgweVgwcPKgCURYsWKQcPHlR+++03RVEUZdq0acrzzz9vXb+idMCUKVOUY8eOKUuXLmXpAEe3ZMkSpUWLFoqrq6vSvXt35fvvv7e+1rt3b2XEiBE26//rX/9S2rVrp7i6uip33323smPHDp0jllNtxrlly5YKgEqPpKQk/QOXUG336ZsxWaq52o7zd999p0RERChGo1EJDQ1V5s6dq5SVlekctXxqM86lpaXKG2+8obRu3Vpxc3NTgoODlZdeekm5cuWK/oFLZO/evVX+za0Y2xEjRii9e/eu9J6wsDDF1dVVCQ0NVVavXi00RoOi8NggERERUXU4Z4mIiIhIBZMlIiIiIhVMloiIiIhUMFkiIiIiUsFkiYiIiEgFkyUiIiIiFUyWiIiIiFQwWSIiIiJSwWSJiEgH06dPx9ixY2u07rRp0zB+/HjBERFRTbGCNxHVWwaDQfX1pKQkvPHGG/oEcxtMJhPatWuHw4cPo2XLlrdc/9KlSwgNDUVmZiZCQ0N1iJCI1PDIEhHVW+fPn7c+Fi9eDE9PT5tlL7/8sr1DrJEVK1agR48eNUqUAMDX1xfR0dH44IMPBEdGRDXBZImI6q3AwEDrw8vLCwaDwWbZhg0b0LFjR7i5uaFDhw74+9//bn1vdnY2DAYD/vWvf6FXr15wd3fH/fffj//85z/44Ycf0K1bNzRp0gSPPvooLl68aH3fyJEjMWjQIMycORN+fn7w9PTECy+8gJKSEus6mzdvRufOneHu7o477rgDUVFRKCoqqnY7NmzYgMcee8xm2a3aeOyxx7BhwwYthpGIblMjewdARFQX69evx4wZM/D+++/j3nvvxcGDBxEXF4fGjRtjxIgR1vWSkpKwePFitGjRAqNGjcKzzz6Lpk2b4t1334WHhweefvppzJgxw+YoTmpqKtzc3JCWlobs7GzExsbijjvuwNy5c3H+/HkMHToUCxYswBNPPIGCggJ8/fXXqG5GQ25uLo4ePYpu3bpZl9Wkje7du+P3339HdnY2QkJCtB9AIqo5hYhIAqtXr1a8vLysz1u3bq18/PHHNuvMnj1biYyMVBRFUbKyshQAyooVK6yv//Of/1QAKKmpqdZl8+fPV9q3b299PmLECMXHx0cpKiqyLvvggw+UJk2aKOXl5cr+/fsVAEp2dnaN4j548KACQDl9+rR1WU3ayM/PVwAoaWlpNeqHiMThaTgikk5RURFOnjyJ0aNHo0mTJtbHnDlzcPLkSZt1u3TpYv3/gIAAAEDnzp1tll24cMHmPV27doWHh4f1eWRkJAoLC3HmzBl07doVffv2RefOnTF48GAsX74cV65cqTbWa9euAQDc3Nxs2r9VG+7u7gCAq1ev1mhMiEgcJktEJJ3CwkIAwPLly5GZmWl9HDlyBN9//73Nui4uLtb/r7i67o/LLBZLjft2dnbGnj178O9//xudOnXCkiVL0L59e2RlZVW5vq+vLwDYJEM1aSM3NxcA4OfnV+PYiEgMJktEJJ2AgAAEBQXh1KlTaNOmjc2jVatWt93+Tz/9ZD0iBADff/89mjRpguDgYAA3EqyePXti5syZOHjwIFxdXbF169Yq22rdujU8PT1x9OhRm+W3auPIkSNwcXHB3XfffdvbQ0S3hxO8iUhKM2fOxIQJE+Dl5YWYmBgUFxfjxx9/xJUrV5CQkHBbbZeUlGD06NF4/fXXkZ2djaSkJMTHx8PJyQkZGRlITU1Fv3794O/vj4yMDFy8eBEdO3assi0nJydERUXhm2++waBBgwCgRm18/fXX1qv4iMi+mCwRkZTGjBkDDw8PvP3225gyZQoaN26Mzp07Y+LEibfddt++fdG2bVs8+OCDKC4uxtChQ63FLz09PfHVV19h8eLFMJvNaNmyJf72t7/h0UcfVY01Li4OCxYsgJOTU43a2LBhgxQFN4kaAlbwJiK6yciRI5GXl4dt27Zp1qaiKIiIiMCkSZMwdOjQW67/73//G5MnT8ahQ4fQqBF/0xLZG+csEREJZjAYsGzZMpSVldVo/aKiIqxevZqJElE9wW8iEZEOwsLCEBYWVqN1n3rqKbHBEFGt8DQcERERkQqehiMiIiJSwWSJiIiISAWTJSIiIiIVTJaIiIiIVDBZIiIiIlLBZImIiIhIBZMlIiIiIhVMloiIiIhU/H8DnEEReHEKfAAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# A COMPLETER\n",
    "# Création d'un signal carré et affichage du signal temporel\n",
    "\n",
    "# Création de l'axe temporel\n",
    "duration = 1 # Durée du signal\n",
    "fe = 10000 # Fréquence d'échantillonage\n",
    "t = np.arange(0, duration, 1/fe)\n",
    "\n",
    "# Création du signal carré\n",
    "A = 1 # Amplitude\n",
    "T = 0.1 # Période du signal\n",
    "c = np.where(t % T < T/2, A, -A)  # Signal carré avec amplitude A et période T\n",
    "\n",
    "# Affichage du signal carré\n",
    "plt.plot(t,c)\n",
    "plt.title(\"Signal carré\")\n",
    "plt.xlabel(\"Temps (s)\")\n",
    "plt.ylabel(\"Intensité\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b7691bfe",
   "metadata": {},
   "source": [
    "Effectuez maintenant une transformée de Fourier réelle sur le signal carré, et affichez le spectre d'amplitude."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "f2711977",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Transformée de Fourier réelle du signal c(t)\n",
    "C = np.fft.rfft(c) # Calcul de la FFT réelle du signal\n",
    "freq_C = np.fft.rfftfreq(len(c),1/fe) # Calcul de l'axe fréquentiel de la FFT\n",
    "\n",
    "amplitude_C = np.abs(C)  / (duration*fe) # Correction de l'amplitude avec le facteur de normalisation\n",
    "if len(amplitude_C) % 2 == 0:\n",
    "    amplitude_C[1:-1] *= 2 # Si le nombre d'échantillons est pair, on multiplie par 2 les amplitudes sauf la première et la dernière\n",
    "else:\n",
    "    amplitude_C[1:] *= 2 # Si le nombre d'échantillons est impair, on multiplie par 2 les amplitudes sauf la première\n",
    "    \n",
    "# Affichage du spectre d'amplitude de C(f)\n",
    "plt.plot(freq_C, amplitude_C)\n",
    "plt.title(\"Amplitude de C(f)\")\n",
    "plt.xlabel(\"Fréquences (Hz)\")\n",
    "plt.ylabel(\"Amplitude\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6bf06000",
   "metadata": {},
   "source": [
    "Identifiez le nombre de composantes du signal fréquentiel, c'est-à-dire, le nombre de pics supérieurs à 1% de l'amplitude maximum sur le spectre d'amplitude\n",
    "\n",
    "*Si vous voulez, vous pouvez utiliser la fonction scipy.signal.find_peaks, mais les fonctions NumPy usuelles que vous connaissez font largement l'affaire*"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "58bcc885",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Nombre de composantes du signal fréquentiel C(f) : 1703\n"
     ]
    }
   ],
   "source": [
    "# A COMPLETER\n",
    "# Identification du nombre de composantes du signal fréquentiel C(f)\n",
    "num_components = np.sum(np.abs(C) > 0.001 * np.max(np.abs(C)))\n",
    "print(f\"Nombre de composantes du signal fréquentiel C(f) : {num_components}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0d4378da",
   "metadata": {},
   "source": [
    "L'objectif de la compression ici va être de simplifier le signal en ne gardant que les plus grandes amplitudes du signal. Il y'a 2 manières de réaliser cela:\n",
    "- Ne gardez que les $K$ fréquences avec les plus grandes amplitudes\n",
    "- Ne gardez que les fréquences dont l'amplitude est supérieure à un seuil défini\n",
    "\n",
    "Les fréquences significatives sont donc conservées, et les autres sont mises à zéro."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2324d450",
   "metadata": {},
   "source": [
    "Dans cet exercice, nous allons implémenter la première méthode. Il faut donc identifier les $K$ composantes les plus importantes, donc les $K$ composantes avec les plus grandes amplitudes.\n",
    "\n",
    "La première étape consiste donc à identifier les $K$ plus grandes amplitudes. Pour cela, on va devoir faire un tri de tableau, qu'on peut faire avec *np.sort*. L'idée ici va être de récupérer la $k$-ième plus grande amplitude. \n",
    "\n",
    "Avec $K=10$, récupérez la valeur de la $K$-ième plus grande amplitude.\n",
    "\n",
    "*Au-cas-où, si ce n'est pas clair, il faut ici récupérer la 10ème plus grande valeur du vecteur du spectre d'amplitude*"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "862ca0a1",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "K-ième plus grande amplitude: 0.06693419690752406\n"
     ]
    }
   ],
   "source": [
    "# A COMPLETER\n",
    "# Récupération de la K-ième plus grande amplitude\n",
    "K = 10\n",
    "\n",
    "sorted_amplitudes = np.sort(amplitude_C)  # Tri des amplitudes par ordre décroissant\n",
    "Kth_largest_amplitude = sorted_amplitudes[-K]  # Récupération de la K-ième plus grande amplitude\n",
    "print(f\"K-ième plus grande amplitude: {Kth_largest_amplitude}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e942a21e",
   "metadata": {},
   "source": [
    "Cette valeur obtenue va nous servir de seuil: toutes les valeurs du signal fréquentiel dont l'amplitude est inférieure à ce seuil seront mises à zéro. Vous pouvez le faire avec une modification conditionnelle (*np.where*). \n",
    "\n",
    "A vous de jouer, calculez ce nouveau signal fréquentiel, et affichez le spectre d'amplitude du résultat"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "79e173c3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# A COMPLETER\n",
    "# Modification du signal fréquentiel pour ne conserver que les K plus grandes amplitudes et affichage du spectre d'amplitude modifié\n",
    "C_with_K_largest = np.where(amplitude_C >= Kth_largest_amplitude, C, 0)  # Conserver les K plus grandes amplitudes et mettre les autres à zéro\n",
    "\n",
    "# Affichage du spectre d'amplitude modifié\n",
    "amplitude_C_with_K_largest = np.abs(C_with_K_largest)  / (duration*fe) # Correction de l'amplitude avec le facteur de normalisation\n",
    "if len(amplitude_C_with_K_largest) % 2 == 0:\n",
    "    amplitude_C_with_K_largest[1:-1] *= 2 # Si le nombre d'échantillons est pair, on multiplie par 2 les amplitudes sauf la première et la dernière\n",
    "else:\n",
    "    amplitude_C_with_K_largest[1:] *= 2 # Si le nombre d'échantillons est impair, on multiplie par 2 les amplitudes sauf la première\n",
    "\n",
    "plt.figure()\n",
    "plt.plot(freq_C, amplitude_C_with_K_largest)\n",
    "plt.title(\"Amplitude de C(f) avec les K plus grandes amplitudes\")\n",
    "plt.xlabel(\"Fréquences (Hz)\")\n",
    "plt.ylabel(\"Amplitude\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c70e9de9",
   "metadata": {},
   "source": [
    "Normalement, si tout est bien fait, vous avez beaucoup moins de pics. On va s'assurer que vous avez uniquement 10 pics, en affichant le spectre, mais uniquement sur les 500 premières fréquences (ou si vous préférez, les 500 premières valeurs des vecteurs)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "9ca97987",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# A COMPLETER\n",
    "# Affichage du spectre d'amplitude modifié zoomé sur les 500 premières fréquences\n",
    "amplitude_C_with_K_largest = np.abs(C_with_K_largest) * 2 / (duration * fe)\n",
    "plt.figure()\n",
    "plt.plot(freq_C[:500], amplitude_C_with_K_largest[:500])\n",
    "plt.title(\"Amplitude de C(f) avec les K plus grandes amplitudes (zoom sur les 500 premières fréquences)\")\n",
    "plt.xlabel(\"Fréquences (Hz)\")\n",
    "plt.ylabel(\"Amplitude\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "86006262",
   "metadata": {},
   "source": [
    "Vous avez compté ? Vous avez bien 10 pics ? Si c'est le cas, avant de passer à la suite, on va regrouper le code précédent, pour créer une fonction qui, à partir d'un signal fréquentiel et d'un nombre de composantes $K$, renvoit le signal fréquentiel avec uniquement les $K$ composantes les plus importantes. Pourquoi ? Parce qu'on va utiliser la fonction un bon nombre de fois dans la suite du TDM"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "782f377e",
   "metadata": {},
   "outputs": [],
   "source": [
    "# A COMPLETER\n",
    "# Fonction de récupération des K plus grandes amplitudes d'un signal fréquentiel et affichage du spectre d'amplitude modifié\n",
    "def get_K_main_components(signal_freq, K):\n",
    "    # Calcul de l'amplitude du signal fréquentiel\n",
    "    amplitude = np.abs(signal_freq) * 2 / (duration * fe)\n",
    "    \n",
    "    # Récupération de la K-ième plus grande amplitude\n",
    "    sorted_amplitudes = np.sort(amplitude)[::-1]\n",
    "    Kth_largest_amplitude = sorted_amplitudes[K-1]\n",
    "    \n",
    "    # Modification du signal fréquentiel pour ne conserver que les K plus grandes amplitudes\n",
    "    signal_with_K_largest = np.where(amplitude >= Kth_largest_amplitude, signal_freq, 0)\n",
    "    \n",
    "    return signal_with_K_largest"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8f218e3a",
   "metadata": {},
   "source": [
    "Regardons maintenant comment se comporte notre nouveau signal avec uniquement les 10 composantes les plus significatives. Effectuez une transformée de Fourier réelle inverse du signal fréquentiel modifié, et affichez le signal temporel avec l'original sur une même figure pour pouvoir le comparer"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "ceae54b0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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//RSZmZn4/fff8dlnn2HmzJno168fNm/ejEaNGvn83MGDB9GmTRuv1+vUqePz/XkvQIBxMJ45c8b1u8PhwCuvvILZs2dj//79pjLd8uXLB/qn5cvu3bsBIN8k3fj4eNPvkZGRSExMNL2WkJCAqlWrmi6Eztc9/yYndevWNf0eGxuLypUru0r7nRfPvK758PBw1KpVy6s/SJUqVbySIHfv3o3t27d76eokbwJ8YezduxfJyckoV65coe8VQgQk2/MzedcwP/KGG/39Hp2GaUHhtxMnTiAtLc1naKRhw4ZwOBw4fPiwK4wLeO/TzouL8/vv2LEjbrnlFkyePBkzZ85Ep06d0LdvX9xxxx1+Fx+EhoaiatWqfr2XxZ9//omnn34a33//vZcxmNdAyY+8+3/t2rVht9tNrS3WrFmDiRMnYt26dUhLS/PajqfBkXdfKCr+ynEef3n/jrCwMJPhDBTvOHTus+fPn/dLLyeBHn+BHnslGW0IaVyEh4fj6quvxtVXX4169eph6NCh+Pjjj316A4pCfhUbngfws88+i/Hjx2PYsGGYOnUqypUrB7vdjocffhgOh0OKHgBcst59911UqlTJ6/9DQ82HRn66+/M3sfBV2eJwOHDFFVfg5Zdf9vkZzzwGWZQrVw42m82n8VcYzs9UqFDBr/fn/ZsD/R5lU9j3b7PZ8Mknn+Dnn3/Gl19+ieXLl2PYsGGYMWMGfv75Z8TGxha6DU8vqSf5XcBycnIKrY4KhLNnz6Jjx46Ij4/HlClTULt2bURGRmLjxo14/PHHi3xc5tV/79696NKlCxo0aICXX34Z1apVQ3h4OJYuXYqZM2d6bUdWZRejQqw4x2GDBg0AGP3d/MF5gxjo8RfosVeS0YaQxifOJNiCusjWqFEDe/bs8Xrd12v+8sknn6Bz586YP3++6fWzZ88W6YDN72LhTKBMSkpC165dA1e0COzevRudO3d2/X7hwgUcOXIE119/PQC4GqHt3LnTdIeZmZmJ/fv3+6Vn7dq18fvvv6NLly5S7vRq166N5cuX4/Tp0/l6hUJDQ1G7dm3s37/f6/8K08H5GWcCe1H0Awr/Hp3ruXXr1nzfk5iYiOjoaOzcudPr/3bs2AG73V5kQ/Kaa67BNddcg2nTpuH999/HnXfeicWLF+Ouu+4q8vdUtmxZnD171uv1gwcPenko8hLINletWoVTp07h008/xbXXXut63df3XRC7d+82eV/27NkDh8PhSmb/8ssvkZGRgS+++MLkaQs0nMvycDiPz927d5s8kFlZWdi/fz+uvPJK12vFOQ7r1auH+vXr4/PPP8crr7xSqLHsNJwC/T6Ke+yVJHSOUCnnhx9+8Om9cMbtC6qg6N69O9atW4fNmze7Xjt9+rRfIxbyIyQkxEufjz/+GH///XeR5Dn7reS9YHTv3h3x8fF49tlnfeZunDhxokjbK4i3337btK05c+YgOzsbPXv2BAB07doV4eHhePXVV01rMH/+fJw7dw69evUqdBu33XYb/v77b8ydO9fr/y5duuSqtPKXW265BUIITJ482ev/PHVs06YNfvvtN6/35Lf+TjZs2ICEhARTuCkQ/P0eExMTce2112LBggU4dOiQz78jJCQE3bp1w+eff24K1xw7dgzvv/8+2rdv7xUyLYwzZ8547c/OnLqMjAwAcFWB5bdG+VG7dm38/PPPyMzMdL321Vdf4fDhw4V+trDvxROnd8nz78jMzAx4RMMbb7xh+t3Zud65//vazrlz57Bw4cKAthMTExPwWvpDy5YtkZiYiDfffNO05osWLfLaXnGPw8mTJ+PUqVOuKs28fPvtt/jqq68AGCHyatWq+Tz+CmLDhg2w2Ww+0xtKG9ojVMp54IEHkJaWhptuugkNGjRAZmYm1q5diw8//BApKSleybiePPbYY/jPf/6Df/3rX3jggQdc5fPVq1fH6dOni3RndsMNN2DKlCkYOnQo2rZtiy1btuC9994r9A43P5o1a4aQkBC88MILOHfuHCIiInDdddchKSkJc+bMwcCBA9G8eXPcfvvtSExMxKFDh/D111+jXbt2eP3114u0zfzIzMxEly5dcNttt2Hnzp2YPXs22rdvjz59+gAwLtbjxo3D5MmT0aNHD/Tp08f1vquvvhr//ve/C93GwIED8dFHH+Gee+7BDz/8gHbt2iEnJwc7duzARx99hOXLl7u8ff7QuXNnDBw4EK+++ip2796NHj16wOFw4KeffkLnzp0xatQoAMCNN96Id999F7t27UK9evVcn2/RogUA4MEHH0T37t0REhJiGsGxYsUK9O7du8h38fHx8X5/j6+++irat2+P5s2bY+TIkahZsyYOHDiAr7/+2mXMP/PMM1ixYgXat2+P++67D6GhoXjrrbeQkZGB6dOnB6zfO++8g9mzZ+Omm25C7dq1cf78ecydOxfx8fEuT2BUVBQaNWqEDz/8EPXq1UO5cuXQpEmTQtsJ3HXXXfjkk0/Qo0cP3Hbbbdi7dy/+85//FFouDhT+vXjStm1blC1bFoMHD8aDDz4Im82Gd999N+Dw7/79+9GnTx/06NED69atw3/+8x/ccccdLk9Kt27dEB4ejt69e+Puu+/GhQsXMHfuXCQlJQU036xFixb47rvv8PLLLyM5ORk1a9b0antQFMLCwvDMM8/g7rvvxnXXXYf+/ftj//79WLhwodf5qbjHYf/+/bFlyxZMmzYNmzZtco3OOHXqFJYtW4aVK1fi/fffd73/xhtvxGeffQYhhN/H0ooVK9CuXTupuZfKYnGVmuYy45tvvhHDhg0TDRo0ELGxsa5xGw888IA4duyY6b2+ynU3bdokOnToICIiIkTVqlXFc889J1599VUBQBw9etT02V69enltP2+pb3p6uhg7dqyoXLmyiIqKEu3atRPr1q3zqyQ4P+bOnStq1aolQkJCvErpf/jhB9G9e3eRkJAgIiMjRe3atcWQIUPEb7/95npPfiWozqaGecn7t+ZtqFi2bFkRGxsr7rzzTp/NzF5//XXRoEEDERYWJipWrCjuvffefBsq+iIzM1O88MILonHjxiIiIkKULVtWtGjRQkyePFmcO3fOpKc/DRWzs7PFiy++KBo0aCDCw8NFYmKi6Nmzp9iwYYPrPRkZGaJChQpi6tSpXp994IEHRGJiorDZbKaS7e3btwsA4rvvvitUB+ca5leG7s/3KIQQW7duFTfddJMoU6aMiIyMFPXr1xfjx483vWfjxo2ie/fuIjY2VkRHR4vOnTt7jS7IT58ffvjBtI9t3LhRDBgwQFSvXl1ERESIpKQkccMNN3jptXbtWtGiRQsRHh7us6FifsyYMUNUqVJFREREiHbt2onffvvNr2OloO/FF2vWrBHXXHONiIqKEsnJya42G3mPJ184y+e3bdsm+vXrJ+Li4kTZsmXFqFGjvBoqfvHFF6Jp06auxpMvvPBCgQ1afbFjxw5x7bXXiqioKL8bKgbC7NmzRc2aNUVERIRo2bJlvg0V/T0OC2LlypXixhtvFElJSSI0NFQkJiaK3r17u1puONm4caMA4FWun9/+c/bsWREeHi7mzZsX0N9eUrEJYUFWp6ZU8fDDD+Ott97ChQsXpCZtqsqiRYswdOhQrF+/PiBvjGpMnToVCxcuxO7du/363h9++GH8+OOPLhe9pmTibBJ64sQJnZhLpEuXLkhOTvarSeasWbMwffp07N27N+jjRC4HdI6QplhcunTJ9PupU6fw7rvvon379toIKmWMHj0aFy5cwOLFiwt976lTpzBv3jw888wz2gjSaCTw7LPP4sMPP/Rqs5GXrKwsvPzyy3j66ae1EZSLzhHSFIs2bdqgU6dOaNiwIY4dO4b58+cjNTUV48ePD7ZqGouJjY31u09R+fLlceHCBbJGGk3poXXr1qYk7vwICwvzKhgo7WhDSFMsrr/+enzyySd4++23YbPZ0Lx5c8yfP99UZqvRaDQazeWKzhHSaDQajUZTatE5QhqNRqPRaEot2hDSaDQajUZTatE5QoXgcDjwzz//IC4uTle3aDQajUajCEIInD9/HsnJyT7n9TnRhlAh/PPPP5RBlRqNRqPRaPgcPnwYVatWzff/tSFUCHFxcQCMhQx0zpBGo9FoNJrgkJqaimrVqrmu4/mhDaFCcIbD4uPjtSGk0Wg0Go1iFJbWopOlNRqNRqPRlFq0IaTRaDQajabUog0hjUaj0Wg0pRZtCGk0Go1Goym1aENIo9FoNBpNqUUbQhqNRqPRaEot2hDSaDQajUZTatGGkEaj0Wg0mlKLNoQ0Go1Go9GUWrQhpNFoNBqNptSiDSGNRqPRaDSlFm0IaTQajUajKbVoQyjYZKbJlZeVDjgccmXmxZEDCCFPXnYmkJMtT54vZOuck23ozUS2zg6HsX8wcTjk7n9CAFmX5MnzhWydAfnHdV5U1FkIY5+WidbZG5bOMs9FlxnaEAomu78DnqsCrHtDjrz0VODlBsA7veXI88WR34FnKgKrnpMjLycbeL0lMLs170A7cxB4vgbw1cPyZC7oBrzckHeRTjttyP9ggDyZH/4beCEFuHhSnkxPstKBN64G5neV911+PQaYVhk4uUeOvLwIAcz/F/B6C3nf5arngWcrA4d+liPPFx/+G5hR39hPZPDbAkPnbV/IkeeLr8cAz1cHzhyQI2/7V4bO6+fJkeeL/70APJME/LNZjrxDPxs6fz9NjjxfbFgETCkH7FkpR97JPcb39uWDcuRdhmhDKJh8fh8gHMDyJ+XI2/8jcOkMcHC1HHm++H4a4MgyThAySP0LOHsQOLUHyEiVIzMvGxYBmeeNRxkIAfy9AUg7Cfy9UY7MvOz7AbhwDNj1jTyZO78Gsi8BWz6RJ9OTMweM7/HvDUD6OTkyf1sAQAA/zZAjLy+ZF4G/fwNO7wNO7pIj03mT8PUjcuT5YufXwMXjwK7lcuR9Ndp4/GigHHm++G0BkHkB+HWuHHkfDzEevx4rR54vVj0HOLKBlZPlyFs2znj8cboceb5w3vB9do8ceeteN875G/9PjrzLEG0IlSRCI93PWaEmR5ZcebYQ9/OMC3JlOxGSQwgOj7XNyZAr2+f2JLu5aTp7eIGyJLv/c0hhSE+5so8ZK/aNbHLYkEHmRTlyPM93bNIl3aRZqfOlM3LkWKlzkNCGUDCRfYHzvBCxLhz2MLnyTBcils6hcuVlW3CB81xn2UYFC8/vj50HIQtPnbPJ+VOy8Aw7snPrGEi7mbIwZ0XrXKLRhlAwcRBPYjSjIqTw9wSCyRCS7G1y4mkIychdYa2tJzaPQ5OdLCwLz+Rx6cYb6WTs+V2qss6eOjPPISyk3wBagIo6a/xGG0LBxCZ5+U13iiSjQnZCsxUeIc+LqIwTmufasir0ZBuIVlR8mC7QpP1PNqbvUhWdPdZZ9jnECpTU2SZLkCQ5GpkouEeWIGSHbDxP5FbkgcggxwKdPY0AGRc7K4w32RdolmFs2gYx34Z1AfEMc1qxRjLw1FPaBdpKtM6aywttCAWTkHC58qy4QFM9QqwLkWRPmSWGkOcFWoJRYUU4T0mPkII6expvqoRsPD2nKtoUShqcGn/RhlAwkZ5vY0HIRrpHyPNCRDqpe1aNSTGEPGQIks6yjS1TOEXyfudrG7INL9nHihOTR5JYESkTS8LJkjHpKcmosNQIlKQz63zhE8I6s5v1BgltCAUT2Sd3zztF2SXjLrnC9/Oi4plgyzpJeCaUSgkzea4zKfcmW7KnwooLZrZkL5bn2tKMCmJojGa8KejF8lxnWTlCViaKa50NWNeVIKMNoWAi++SeY4FRYdqe5As06yDzvKOR7RFi3ZWaehVJDo1Zsc6y85pYRoVsI9kTK3RWJRfLdJxIunmwtGJO62yIVCQUGyDaEAomspOlrbhAe+os21NhRWhMts6sE4N0nS0I50kPQXp4EWQfK05MOku+SFmhs3TjzQqdZe1/VvbkkbRvWBlaknXDQ/nuLi+0IRRMPO8YZfe3Yd31e+osPd/GgnCeKl4s2c0xrTA4pSelW+AREsQmpKxwHlNnK9a5NPc+UtGj4vm369CYRjqeMVwZJwcrPBUmj5AiIRvmBZrmxWIab6Q7aWabAlqpkWSdPdeA5V0x7c+KeLFkH4NWI80jpKAh5HktUdGQ8wNtCAUTk3dFxl2/FVVjnttTxFPBvEDTTgyS76CtCI0x2xTQwnme25O8zpZ4VxSpdGPqbAXSDCEVvWGeeXTaENLIxvPu6+hW4OLJoskRAji4zjzx24o8kGN/AmcPF13WXxuAiyc8ZFug88ndwKm9RZd15A/g3N/u363Iazp7CDi2reiyju8ATu93/26FzheOAX9vLLqs0/uAEx7T4K3Q+dJp4NAvRZd17i/g6Bb376wOyp46Z5wHDq4t+o3PhRPGPu3EboHOWZcMnbOLeCOVfg746zc5ehVEXq/soZ+LPkPP+TdbbQgdXm++LgRCThZwYLU16QtBhuUH1fiFh7t/QTcgviow5s/AxWx+H/j8PvNrVoSZ3utnPE44Hfjd757vgP/cYn7NityVT0cYj4/tB6LLBSbmyO/AW9fmEc0KM3k8X/qI8Xj/eiCxXmByUv8B5rS1xr3tuRY/TDN+Bn8F1OwQmJzMNGBOeyDLY0q5FV6sn2cbPze9DVzZP0AxApjXFTh/xP0ayyPkqfMfHxo/XSYAHcYGLuq9W8yGEMsj5Knznu+Mn5bDgRteDlzUf+8Cdn8rT7X88Nyfzx0GFnQH6vUA7vgwcFlLHwU2vStPN3+Z3xWodAVwz+rAP7vqeeCnl8yvlVBDSHuEgknek3vqX0UzBjb+n/drVoSZnBTFk7X9Kx+yLUiWdlIUr9Chn33ItuAC7eTAj4GLObXHW0crjGQnWz4OXMyFY2YjCLAmr8nJL3MCl5N1yWwEAaDlNfnS+ftpRZN15HeYvjda1ZgPnX+bXzRZVhhBAHzuz7uWFU2ULyPIivl/gNlLGQh5jSBAh8Y0BHztVJfOBi4n28fUbCvu+p2knSqCHB/60QwhH3IzUgOX4yvUYUXIxklWeuByfIUfLNW5CBPdM857v3a5r7Mvna08BouyLV/hNCvK51WBrbOKRoVOltZIx9dOteQe4D/9zF1682Pz+8Cb7X3nj1h51//t08DCXsClM4V/fNdyYHYbI6cpL1aExpysnmmEMs4eKvzjh381dN7+pQ/RFnqxtnwEvN3JyM0qjBM7gTntgF/f8iHbQp33fGeEEw+uLfzzqf8Ab3cGVj3nQ7aF+8aJ7cCbHYAdSwv/+KWzxr7/9Rjv/7NyfwaAtzoCm94r/OPZGcB7twGfDPH+P1aOUH46z+sKrH3Nj48LIyT2wR1y1Spsm754pw+wYqJ/Mr55HFh0Qz7yLTQqFt8JLLnfPy/U/14E5v3L9/+paND6gc4RCia+dkqn2/enGcZO1/YBI24fEWvcXYeEA3tWAucOASun5J8IZ2VobO9K43H5U0BsRaD1PUB4jPGTk2l4Uv76DfhrvWG8ndiej2wLdT7wk/G45D6gSgugxRAgNgkIjTL0cOQAp3YbrvD9PwHH80lWtvICfeR343HxnUDjm4Ar+gHlaht38TabcYE7fwTY8glwcidwbKvxkxcrL9CXThs/i24wcljq/guo3Mz4P3uo4c1MTzXCu5dOA//kk2Bt5f4MAEf/ABYPMHJvKl8J1OxkJLqGRgCZF439ev08470H88m/sNLgBIAjm41cwcyLQGwi0PBGIDsdCI8GMi4Y+8gvbwKRZYDdy33LsKJqzJO/1hs/0RWMarKrBgJZaca5I+OCcb779S0gtlLRwqzFIh+d9//P+Kl8pXG8XZO75hGxhs5h0UbYLz7ZWO/8sNIjtCM3FaFmByPfqd1oY99w6hweA/z+ARAWBfzwTP5yVPRi+YE2hIJJQTvV/14wHvd8B/yzybhQ//kZkNjAOHEUdpK10iPkZHPu3eiu5caFuPHNhsERWQa4cLRwj1EwdD7wk/Gz/UvjpFazo1GxlHEeCAkDzh4sWLTVF2gAOLMfWP2yceLKzgDK1wbsYcDxP4H4KvkbbS7ZFl+gAcNg/HE68PMcIKqssbZJDY39O6mhsY8XKDtIQ4RXTjEeKzYBLhwH6nQxLsjJVxnHYYGig6TzN48aj9VaG97iprcBvy0wfj/sI8/NE9qU9UJ0XnKP8fj7h8a6thxm5GpVbwsc8sObyKAw78knQ43HHUuBQ+uMG8Cf3wBqtAMOrvFDfhC8K5/dbTzuXgEc/gVofa9h0Fe/xn1zWBDaI6SRjj/eBOcFYsMi4/Gwn+W9Vubb5OV4buhmy0fGo1cSaT5YmQeSl9O5ydO7vglQNiuJ1w+dnev612n3a/6UylrpectL5nnjB3CveWFGEGBNa4WCcHrWfv/AeCzMCAKCuz8D7nOFMym5MCMICL7OTu+aM2E9WEYQELjOP7+R+7sfRhDA26dt9sJ1d+4bznX2xwgCSqwhpFSO0I8//ojevXsjOTkZNpsNS5YsKfQzq1atQvPmzREREYE6depg0aJFdD39hulmDIanotiyLWiaJ122xXkgMrA6d0UGrAahSu7PTJ0VXGcaZJ1p8yDDOHKBEhsaU8oQunjxIq688kq88cYbfr1///796NWrFzp37ozNmzfj4Ycfxl133YXly/OJj1sN07rWF2gPFNRZX6DzyNb7hhsVdWZiYZsCqfJZ8yCJgR5dNRZ8evbsiWeeeQY33XSTX+9/8803UbNmTcyYMQMNGzbEqFGj0K9fP8ycOTPfz2RkZCA1NdX0w2DpliM4e7EIZbp+8uffZ6XLTMvMxqFTFwt/YxH5/bAfVWcBkp3jwK5jnO8QALb8dQaCcMLcfqSI3WD9YNfRVDgc8nXeQtjnnBw8eR5pmfK78m77h7fOx89fQmq6/HESO4/ydL6Qnomj5+Sfl3YQdRYA9p+Uf17ae8JHSwSJ7Dsu/7x0LDUdWTk8Y2Un8bwUTJQyhAJl3bp16Nq1q+m17t27Y906H6XbuTz33HNISEhw/VSrVo2i2+o9J3ExQ/LkaA8W/rRHuszlfx7FgZMXpMt1smTjIZw470fbgAD4ed9pbPlLvoHl5Kddx7DzmNwT5uHTafjfzuNSZXryx+HT2CTZ6Dx1IQNLNhVj3EohHDhxHt9sOSpd7qI1+6TLdHIq9RKWbPq78DcGyFur5B/bTi5lZuLtH+WvyasrdkqX6cQGgRnLd0iXO4uoMwC89p18nef+uA85RENo9g/cNQkWJdoQOnr0KCpWrGh6rWLFikhNTcWlS74bvY0bNw7nzp1z/Rw+zDm5X1u3AuLDecufmS3/7vlCRg5sRLe8HQ5cypR7EF/IyKbNLQcMnS9myF3ri5nZYIY/7HDgQobcdU7LzKGGEuxw5K6LXDKzeRcNY53l65yexdM5hLA/A8Alwndnkk+4qUwjrIMn6YQ1uZjJPd9lkL/HYKGrxvIQERGBiIgI+nZ6NKkMLLMDpEHMIeDEn5mGkNbZjZo682DpzESvsxvm/gwAdsg3Duk6K5j3ZlfwOPSHEu0RqlSpEo4dO2Z67dixY4iPj0dUVFSQtPKAmJjIOojtxIOMdYLn6qziOrN05p0kefsGU2e9zm656lWNqagzoOa5I9iUaEOoTZs2WLlypem1FStWoE2bNkHSKA/EDHzWDssNM7F0Zt4haZ2dUPcNm3reFd4xqN6Fju9dkb9/2MhVYyyDVsVzR7BRyhC6cOECNm/ejM2bNwMwyuM3b96MQ4eMeVHjxo3DoEGDXO+/5557sG/fPjz22GPYsWMHZs+ejY8++gijR48Ohvre+Nsb5co7gIh44zE8zujUXAi0E5rNT7mN+gIxiUDDPkBcZSCk8HBj0E/CdbsBZWoANdoDSY3hz2Uy6AZntWuASlcASY2AlA5+fiiI62wPBSrUMzp4J1QD6l9P0cVf/NI5LMbYlxvfBESVA5r0c3262LJZRJUzRj00u9M4ZzS703g9LKbAjwV1f44qa4z4aDHU0L157rk8uoIfH2bo7YdM57m45XAgNNKYAAAbEJNE0Mc/Cv0OIxOMxxZDjfNy88HGcRmT6If0kmkIKZUj9Ntvv6Fz586u38eMMQYdDh48GIsWLcKRI0dcRhEA1KxZE19//TVGjx6NV155BVWrVsW8efPQvXt3y3X3SX53MfFVjPlLd31nzN2pfCVw4xvGQMQuE4zxBN88Duz8BsjyXTZquVERV9kYoTH4S+OgqnSFcVKz2YC008ZsprWvAevnGs99YvFJ2Nlvo/9/DP0T6xsnBpsNyLwApJ0C/lwCrJxsdGt1WJcoWOD3Z7MDvV8FqjQ3jImIOCNROScTOPcX8PdvRiv9+KpA6l+ByS6WzoX8b5fxQIPeQEwFILqccSMgHMCpPYbe799qGHQ+5qMFxUi2hwFXDweuudfYL+Iru29ern3EODYX9ATK13F3UzfJ5lCgzuGxxjy37s8Z+0PZGkCf1419uu2Dxj4/t7Ox3/jUmXWhK0BuTCJQvi7Q/11jiG2FOkCvl43zXZsHgMh4YwhubJLv2XngrHWBMstUN+YSDv0GuHjcGBNz/UuGzm0fNPbvtzsbx6qzg7qXfIuPw4Rqxjls5CpjXEylK9zr3GGMYTz/343GsXjRd9VqSQ2NKWUIderUqcCeLb66Rnfq1AmbNvnRwj8Y5BcaG/K1cWEOi/T+v/jKxuMt84w5U69fbQxgzYPlIZverwI1r/Wtc0x547H7NONi+MHtwL5VXm/j6ZyPwdlpHNBmlG+dI+KMn3YPAa3vBr592j1k0wPL3dsN+wA3z/XW2WYD7JHGRaRCHeN9GxYCy5/0EmH5OpetCdz3s7fOdjsAO5DUwPgZ97fR6v/927xEBCUEOe4vY8iq5/wt53T2pIbG4xMHgdP7gTne4XbWvlHgWjy2zxhU6lPnBsbjI7sNQ//F2oHJLgYFyh2z3TAY7CGGkQy4dU6sZzyO/tN4z9TyPkXku+8VgwJlPrjZMOJDwtznN6fO5XPXddRvxnue8e1pYegMAPb8vPZOnUPDgbhKuUrk7idlU4zHu74zjKVnfHu0dGhMI5+8HqHwWCMkk1DN98XZE5vNeE+H0YbnJdSC5G8hfF84EqoD1Vv7qXOU4Ua2hxp/r+d/Q0BIP9CE7zuk6ArAlbf7r3OTWwyvQHic+b8hv2pciHwu0OGxhvFWmM6AMXG8TlcjFOK1zqA0gfS5ziHhhjfTX52TmxshEl/7BuEc7DsPxAbc9q6hc2FDSMOigHI1De9bREJeKaSOAvlcQHvN8DbcfBEWadz9V2xiTHX3gHMMAvl6hDo+bhgT9kKm3oeGAyGhQK3Ohu6W4GOd7aG5oaQQQ++CCAk19G56u9f+bCB/nYWvRqnhcUC9nm59CsIeYuxD7R7ync5QQmeNKeURKnHk3anGbDN2vpAAvpaWw4ArbjOmZP/6lutlnqciD/euBcrVMi4I/tKoD/D4QWOQ7LdPuV627K5/4BJjEnd4tP9CarQ17rZ3LQP+O9z1smUeoZveBhreAIQXnONhIrE+8Mgu4O8NwP/1cb1smc7/mmqElgLROTYRGL0NOHPA5GWxbN9oMwro/GRgOodFAQ9uMgbevlTHLdvffLoA8ToG63YDbl0UmM52OzDyf4AjC5jmNoYsC43FVgIe3GjkAgXCvz8Fsi8BzyabXrYxkqV9vTjuL8O4D4Sb3gQyLwLPVTG9zDgOfX5/j+01vGmB8K8pwLWPAW91AE67G2zq0JhGPnlvF8NjC78z8kVErNeOblm5cXhsYEaQkwjvz1l24QiPDcwIcuJL5yJrVTBeF/7w6MAudE4iYr0+d9nrHB5t6O2BZTlCYUXUOTTcnYSan2xJeIVU7GFF0zkk1Oumy7J1Dimizna7z88x9PYZuirKuc5m89qfAZBSIn0IDS1iX7yIWCPa4EFJNYR0aCyo5NmpimIE5fNZyzxCEXG+3uYfXkaFRX1XfJ2U/MVLZ4u8Kz5d634SNJ2Ls2+YDVXLLtBFMZCd5AmVWNamoLBwRwBYliNU1ItzPnAMIS6WeYSKJTDvDbY2hDSykZlAUFhegKzNyLxA2626G81DsYy3vBdoDt46xxddmEVeLC+PngJGstdaBBr2MAkzS7POuyLPELIsNCZRZ4CkN3v6PAHpvY/yGkIKrok/aEMoqEjcqbLNw0p53Wfz3tkV44SWbZ5yzatIkHiBznMCtyx3RaLxZpm3sDgXuzzJ/5atc57jqDhYtj/n244icEKsCk9L1NmQz/AIcS/6nONQss6WnaODizaEgolngl+gyWx5SW5u+lWJcRXOks1cLBtXUZyQTVQZ06+W3fXH+tPsLB8ivCvdGHiF3GKL0VTObo1L3mvfKO9dUh4YNo9nFulcuVnxBCZUM/9OuOv3uuintC+ewGrXmH61xBCq2bF4ApvckucFC3QuU714Ahv2zvOCNoQ0LNqMAu5ZXTwZV/QD/jUFOWVqArCgMiilAzBkafGE1WgP9HzRaOwFC+76KzcD7vjI6yIbEOVqGeXg1Y2Kpnx7dhQTl84V6gG3zDdKyotKeAxw6ztA7S4ALPAIJVQHbpgJVG5aPIH//i/Q6EYA/H3DEVnOqHJr2KeQTxTCsGVAs3+bZMvGpXNIJND5KaDN/cUTOGAxcI1bBifM5PG84+NAt2eKJ+/mtww5uXCqxjyUvvYx4zgsDj1eAK59DA67kUvG2KdNOrcZZTS4LQ4dHwM6jUN2RBkA2iOkkY3nXVf70UDFxsWTFxIGtHsIWZWvAsC56xeects9DKS0K55Aux1oPdJ1p8Xqu+I6ObQaAdST0FX8qn+7RkPYGJ2PhMc6X3m7YeQWl8Z9gab93dsovkQTpt5HDa432joUlzpdPeQISu8j50pkVm8PtHuw+Ll21a8B2o4CwM9rupTY1LhQFdbPpjAqNTE6ZefC6TFlyEyPSzHaExQn1AsY3uTOT8JhIxY+565Ddmg0cN1TxfPKAsbnr3sKGZFOOYQ+Qp7fXadxXl73gImIAzo9gYy4GgB0srRGNqaTjUyzxZb7L9kjJDM528bT2WRUFDf86IlLZ7JHiKAz3VsoU2c4dSbnrkgtNuDq7Dp3EPYNgBtmEpKLOpzyGB4h1zYkXyadq8tIPDbJlLh/uL83bQhppOK5w8o0KoyvlJ4jRLhw8HsfMdaZlAfiCrkpuG8otM42m3r7ho24zgDpAs3QGQDzEuY6b0ivyOXdRNlY1xVw9+lgow2hYGFKlGbcjbKrxuSfhHk6O7ejzl0/xfOWi1LeFZtVHiEVvYXy92fjGSHfRnD2Z0E935GMN6ehTDU4jd/kCSZ7OYOMNoSCBSs0Rr7r5144OHDCTOw7JKLOpARvitvcKu8KxSurpkeIASdsCo/vjWFU5EomGW+c/YMVGnPK0oaQRiqs0BjXcqe4i8keIc6Fg73OPJ3pZd2EHCF+Kbp8M5xt2AtajhBvblc+I5CLjMsjRMm3IYRNATBzIk2aKuQBDzbaEAoWdI8QuzEaxy3PgJLXRL5DUtpToXUGYOFwWylC2TlCLKOCdxy6DE7p5yeeB9ycNK7OTVSw0YZQ0OC4MNl30GpeOHjw50mpc1enoueNqTM/1MvKEeKFmWQvCjPMxKkodHvyOJW9rGRpbQhpGLCSpT0sd9n9QEy9Ykg5QozDzJUTQ8oRkn0DLSD4eU0UnZ3b4XiEKKdglx0kf53tcJB68ng/K75Qz7+fmcTLyRFiXKCde5zs8nmmR4idI6QNIY1caKExFe+geR4hAZYXy6IcIaV0duaPEfoIkRK87a6LnTrtIJyeBF6OEC+Jl5d4LP/cwcofc39vjBwhbjUys19TMNGGUNBQs98D0y1PDyUolIvFbFPAv6uTb7yx4OY1sUO9JI+QSn2EqNVuzn1DtlynUUE4DlnT4cnVyMFGG0LBgu0Rok+RVunCwTTeVDQ4FdKZ3A3bebGzUcLTLBTsI0Tqi+XyCFFnjcn2CDHzmkgJ3jbng/YIaaRCSpa2rJpJps6mB+lweh9ZVJ2nZAUWY505MPcN/igTjueNUs3kesbKEZIPpU1BrmRP+fIlM8aCaI+QhgE5WVqt3BXnhYOcu6JQLhazj5BSOrsq3ThGhVOu3BXheoSY+4YhlZi7QqsaI3bDJuUIcQwhZ/6YbMG8db4c0IZQsFC1jxBjBhY9ZON8otA6E+/61dLZKo8QwbCnhac5YSaH866fmCMkP2TDNCo460w935GMN50jpOGjYgdQJS8cKk1FV1Fn72fFF8q9E6WUdXseG5SEWNeG5Mql5q44n8gO2fD728g33tQLjbE9s8FGG0LBguQR8nS7Su9vIwRpxIb7xMDou8KuwKL2a6JUBgnpXXkMnQnl8x53ooxdw2V8U7qOwxwCl4SdUT4P9wVfmWPQQx7DqLCTRmwwjTfBGm5Lrt4MNtoQChbk6fMqjtjgnBi4PXnUCjNZ5BGSes60pmqM5/RnemY5RgVjrV1VXawLtIPXpVm+EcCsdGPkvBmSPeWXNLQhFDRIfYSUvEArOK1bG5w+pPOSeHk5QuQKLMJS00rRiXf9/LldxHAeKd+GZ66Yn8mUTOl9dBmgDaFgQUpqs5ErsJgjNvieCpV05pWi89eZUVFIbk5IaWEBcLoHk6qZXMnSxKnoso0tBZOlBfHcQSv5J587go02hIIGqyIhV6xKJdKWVWDJFGpRibRC3kLmiA3eOjPyQDzvy9W5QHvJlwrLeGN6hLheLE4iPbcJJDfUGzy0IRQsBOGOH57J0ix4XW2VNN7YlW6UZGkO7l2CEWZSz4sFcEIJPE8Fb/+gGPYe8qgGp1JVYyzjTQ9d1TAgVSSwRxIwQwn0uV0UT4VCoTFy4rGaCd7c5oTMPBBevg0vnCe/4zHzOCTdrBKNCpq3MFecDo1pJMPaYblfKbNLs26o6CFeyeaEvLwmFdcZ4OTbcEKQHjOwmOXztPMdo3ye1QSSb7yxPEI6NKaRC6sDKP2u3/lEnbt+FUdsMD0VdI8QId9GqXUG1yPkezvy5FF68pBzhOwKGW/UvCZyjpD2CGkkw71DskH+KViAe+Fg6OyWDppHSD2d5edpmvYNRdZZCEFd59ytyJPrFE+7QDv1Zk6fly2YmUNG6pmjokeInr4QXLQhFCxIydLW5YGoMa1bQJDzbRQK2TgNTlqCt/ez4gtVMBfL1EdInSRewVxrV5iJkyNEaQLp3IbOEYLr3KH7CGmkQkuWtioPhHGx48CswKJVujGG26pYPs9eZ3J1HiPx2D1iQ52ybornDSDcSHqIprRWgJIeIaqRfBmgDaGgwc3u5w2pZAh1XuzUq2ZSK4mX7cUyb0emVBU9b2xsSnlXSEZFLkyPkEreFZZHyKZDYxoKrGRpFT1CHjlCDFT0CHlsSKIoi9oUKKQzf8QGsRRd+vWZ6V3xfiYDQawao/XkYfYRIlW6cdsUBB9tCAUbUoMxtUY/WFXppmKOkIo6yzcqQkh5Te7tcHKEqMnS0i92TqlM442TE6lSyb/bqOANilUrnBd8tCEULATnIFM5p0IpLxY934ZbgcWAqTMASu4KZ8QG4CAmxNopRrJHV3qljAriOivotXcbnLKl69CYhgErWdp5188e/UDJA+F4hDjGm4L9baxqXCl1n2Z7V3xtp/gIKzwVpHOHSn2E3DmR6iQeu9dZoYG8uo+QhgPfIyQkn4SFIIWZPGQxrhuucnGKzkJ+Tx7BCkF67hvyxALOnjzcfBtIzrfxXGfpJdK5ess+BgHPY5BjvHGqxtTzCNFGbDCrZGndsHVnaQ0Dcmdp3l0/s0szoY+Q5zJIXWruHRJnSKVVOpPybSjjKsh9Vxh3/bnrILsnD9XLKZwPpNwVRtiU1jPHaXASc4Ro+7M2hDRSUTNHiHI3Ss4R4ozY0BVY3rB78siHl3jsvEBLFWvIdD3heFc4IUhOKgBTZ3dojJSLpVLVGHUOXfDRhlCwYHWWVjF3JRel+tuo2JPHsopCTo4QoxTdebGTfT/ivhDx8kCk3/S7jDfmiA1WlaxCY0GInlnW+dlGzuMMNtoQChb0ztIKlXU7daYneKvT8ZipMyvOT0k8ps/t8rWd4kO96ycl8TJzV2jrTPMju3WWH4K0oPeRbG8h2WsfbLQhFDS4sVzWXb+rn4tCpejcQbEKtSnwki1bLmPEhqd5pVA1k1MqNfGY1JNHoWomd44QsRs2KSmdW4GlTs7b5YA2hIIFuUcFP7tfndwVFXvyUNzyCuePAaBWM0m/g6bm27BKpC3QWbq9yezJ4/1MjmBidZ4rkZ4VaSiZaEMoaLBj5ozKDw+ZClUzcZJ4LcoRUkpnnufNeKaOp4LZPZhdPs+oluKH8xTq0qxgjpBbvvYIaWTCSpbOxQZBOMw8DgJC+MM4iFXJA3HrLHulBYSHW56ls1wEPO/65Rtv7q3IQ8Cj8aj0ogXnRtQbYMo4c/DDebxKN/n5Nu7sI/mwcoR4+WOXA9oQChb0ZGkCrNJJYsiGd4FmjwVxPlFJZ2aCNyil6Ky7fukJth64LqMKJXjz1plnVLj3N9lHDL/kn3dd0eXzGqlwQmPuRDymqxhKhcY4IzZyH9iVboTQGMu9rWZozPlEpdAYt9Efs9KNlQrA7SwtW2fjgRkakz9rjFscEmy0IRQsWHcbVpTAApTQGK+sm+GWt6jSjaIzB44XixcaA9zrbCOFbDheVPWMCrdMdabPs8avUA1OQVpnPX1ew4FURcGs/DDlO6gYslGnakzFSjc1p89zjkNBvHDQps8TjTe3USFXLjOcx2qtwKzOc3fDlowOjWkoKNlZmh0aUyhko2IFFltnG09nQ6pC1UxWhJm0zj7ky4QbgqRWjSnWny7YaEMoWLCSpakhG0+ZjNwVDpw8EItcxQyDk97Bm3SxU2gqOjM0RmmtAFgTGlMwnMfKt6F2lpZuJHs/K0loQyhoqHhi8PxFxXwblYw3RgWWVcWvcrfjoF44nE9kh5mc8hXKEbJinWUPMFVRZ1c3bKliDZmsXCxdPq+hQO4sbQPhZtSR47EdjlHByC3lhJk8YuaSdRaCVenmPtyFQ24Y0tCZ0fvIXYouJO8cQnj0ayLlgTD2Z7vLU6FijhCnFJ3TLoTTR4h64+ecPk/KPdU5QhrJsGO55PJ5hcq6KUm8KnqxTN+ZOqXobvlMjxDrYqdO+TyzSzNvLIjW2RMb6wabuD9fDmhDKFjQkqXlijPjmSytRlm3cdfPCzMpVT7vmXjMzLdhJfFSdeZ4Vxg607zJLp0liwU8znekE5RC+WM2C5LS5Tf0JO7PlwHKGUJvvPEGUlJSEBkZidatW+PXX3/N972LFi2CzWYz/URGRlqobQHQO0sze1RAcmjMomGgrNAYATu5AouRU8HxvHnKU0dnZu6KnTQV3YokXmYqgGz4w20ZkPZny/ILg4NShtCHH36IMWPGYOLEidi4cSOuvPJKdO/eHcePH8/3M/Hx8Thy5Ijr5+DBgxZqXBDciwZ3oJ/xmzzB7AosXpiJXk4qdffgGkKseVJu74o64Q9Lihakj9jghdV5Sen80Jj0Se5UD6eBbJ2dDUdZLU6CjVKG0Msvv4wRI0Zg6NChaNSoEd58801ER0djwYIF+X7GZrOhUqVKrp+KFStaqHEB0GO5KvYRInlXiD156KExkkeI4+LmhsYYsHKEmB4hftWYfHi5JcyQDetm1XjgGJycdXYbnCUTZQyhzMxMbNiwAV27dnW9Zrfb0bVrV6xbty7fz124cAE1atRAtWrVcOONN+LPP/8scDsZGRlITU01/XBgl88TMIXGSnm+DfnEwNTZQJ3EY2ajP5C8WE6UzMWi9uThlHUzcOdKsUr+5WMTpHUmF4cEG2UMoZMnTyInJ8fLo1OxYkUcPXrU52fq16+PBQsW4PPPP8d//vMfOBwOtG3bFn/99Ve+23nuueeQkJDg+qlWrZrUv8MFLVk6N2ZOyHi0sTxC1Jg5KemRPB9NzXEVpPJ5K3KEpBsVvDEKtBEbznVmNoFUyEh2elfULEVXJ0/vckAZQ6gotGnTBoMGDUKzZs3QsWNHfPrpp0hMTMRbb72V72fGjRuHc+fOuX4OHz7MUc6CztJC8k7Lqxhw5yYwthBCTDy2S19l41TDDo3JL5/3vM8lhWxETsFvCxDTOtOSS9XxCDHv+u2kfk3WDANVZ51ZfbHY43mCTWiwFfCXChUqICQkBMeOHTO9fuzYMVSqVMkvGWFhYbjqqquwZ8+efN8TERGBiIiIYunqH84TsGy5/DCCAza5FrRVXUuV6iPkfCJfZwDkcmO5crk5QiyjIlcqsdxYuqeCmteUdxtyUHE+mhWhXvk3Zzo0dlkQHh6OFi1aYOXKla7XHA4HVq5ciTZt2vglIycnB1u2bEHlypVZavqPa39S6Q6J3KOCoTM9r4mDiiM22B4hpSqwiEaFihdoWu4KNZzHSl+wYN8g5QiVVJTxCAHAmDFjMHjwYLRs2RKtWrXCrFmzcPHiRQwdOhQAMGjQIFSpUgXPPfccAGDKlCm45pprUKdOHZw9exYvvvgiDh48iLvuuiuYf0Yu5BwhuVINmay7W2rMnFXyz+59xAiNufc1qlteodEPrJ48grh/8HKEeHlNPC8TsW+aK8FbpZtVA+le1BI+YkMpQ6h///44ceIEJkyYgKNHj6JZs2ZYtmyZK4H60KFDsNvdJ4czZ85gxIgROHr0KMqWLYsWLVpg7dq1aNSoUbD+BDeCcwJ2SmOO2JB/kOXGnxkJ3p69ZxQq+aeP2KD05HE+4eTbUNv7k254uW0KOJ4KO8XgZFfJquN5o3o4SdcVa3KxgodShhAAjBo1CqNGjfL5f6tWrTL9PnPmTMycOdMCrYoAqY+QIIZsaCWwVLcrq9KNm09BH7Gh0IXDkhwhFUNjtGVRJ2Tj3uPU8QgJC4w3WhPIEmoIKZMjVPJg3SExR2zklpNKF2xBn5jcLUiDPWKDHBrjhJlI+3QuDO+K0uXzSl7sZOvMW2eeRyj33EFdZu0RCgRtCAULJTtLm7chTxzTVey9HUmSASgcGlPqrt8pT6ERGxZUM8n2zDLzmtiT3BnhPNokd5c4hTxC2hDScOBWJNgg5N/0C9JB5mFUyD+feV485YfGGOssBKknj6dR5ZCrtBAWhMYkL7Shcy7Swx+5Ygm5WG7UWGeA6S1khqg5OgviTZSN1J9Ol89rOLCS2qzoUaGQ29XGKp93rTMLwkmYPH3e93ZkyJMrziTaRs57o5Z1sxZGHS8W/zjktQthGm/yp8VrQ0jDgOZ2ZZbPs7qW8nQWJkNIfr4No9IN4N1BO4gnYdqIDVdOhUIhGxCPQ3L5PMeo4Bwn7gu+fM8bq7UCN4+Te10pqZTsv+6yhltOysldYVckEHJATBdPkndFqQt07lozy+dpbnlijpD08IdTvoJ5TYR9Q8UEb14ys3Od1csRslNDvcFDG0LBQsFkadaFjtulmeQRoiceO58wnf5yUTlkw9qnmUay7BEbloyrUCisDvK+oZTOFoQgg4k2hIIGx71tY/a3cZXPq2O8mQ0h0rgKlSa5W5EQS0vilSoWgFtnm520zsTyeRst8ZgBqTiEeO6wu6bPc/YNpXof5ZFf0tCGULCgdQDl5ybIT5a2omzX+E2eYIs8QgpVfzgTj3m5K+z9Qx6CeAft1plXcSob2v5sicdUxXwbls7aENLIhDa3y5kjpOCIDaIXy3M7cvA4tVPi5tzSXcaIDRfSQza5YhUaC8LMe3Mi/66fp7Pbu8JZZ0buCjvUyzhH21lee2ruafDRhlCwoZ2ACZD7CNkgIKhl3ZzQmJB8QhPwPAmz3PJEnUn7h+x9Q0AQK7AsKJ8nrTP1Wscy7ClwznfMsKmKIcjLAW0IBQvarDHm6Af1yud5VWPcQ4eeb0OAVfJvSRIvqXyeOmJDwRlYvHOHOuvMPN85YQU3dbK0RjIky13FgX7UAab8qjFOyIZbZcNt9MfxrlD7CCnUgI6WI2RFmwJaBRYxPK1Q1Ri/x5Qun9fIRMXO0iyPfC6cHKEc93OFujTzk6UVutgRQwm8C3TuIyUXkOsRYuA0Ylk5QoxTB6/HFPMYJBkqetaYhgKtA6gVHiF1vFjOM6SDdnEGpxSdVYHleqJO7yNmToVLslIl0iwU9FTklS8R917HOd9RyF0G+aNMSjZ6tYIG527DRmzt78wRkh8a48fMWbkJhmTJJ2HWWBBwc1ds5N5HzDwQ2T15uDlCpHUmhqhVzBGyKei1V3GdLwe0IRQsaB4h44FRmulyb8uXDICls9N4ky2Y6REiJXjDc8SGOuE8WJEjRDLDqRcOWim6OuusoufNaXBySv51+XxR0IZQ0GCXOfKQ7na1YMQGb4K0exvSIHqEPDYiXSI7p0KlcmNLErxVzMVSqDjEde4gnaMZuEO96uwblwPaEAoW7M7SNkFwVHDL5wH5OvMq3TwOHclKC1oTSMDhPOSl68wfrMnVWS5Ow1uoNMqEWlHo/UyuZGIIUqUwk4K5p5cD2hAKFgrusOzQGPPEwA2NyXVx03ofmVDnrt9BMoQAnhfLSz5BJstTQa0oJFW6cQxadtUYs10IJ+dNh8Y0klGvfwm7rwbjIGP3iQHAzRFilUir1PvIkjwQdS52/LJuZsWp7H2DmPzvEim7oMX5qFDY1JZXfslCG0LBgu4Rkg+tfJ54AhYOVmjM8xLKzBFiVWDJh50srZIXi9sklAR1gCnb88aQyel9RK3OY/drKqFoQyhokE4MFsSfhfRjjFk+zzeE5MOvGlMpzKSmdyV3n6bkCHFyV1QcZeIyYFVKSmeOFCKf77RHSCMXWrK0BWEmVmjMxtOZMWPLnbtCzBFSqAKLbgipNBYkr3yJuFbXHiJZstN4Uyds6tw3KK03FAz10tIXYOxrOkdIIxcFk6Vp3hVmvg1rncG8g2YmSzuNCnVGbKhovIGoMy9XjyIVAHGAKbUUnbs/q2RwKhnqDQBtCAUbhU7A/KGrhnSponPlyR+x4QE1WZqTI8Sr/YNi+7QT0jorGIJUqV+Tkn2ELMnjVKcK8nJAG0LBguYRcsefBSmJl9mTx5ncLA+eR8jZk0f+OpMGxYJ3sRMQ/NEPhDtot85y5TITYnneFeb4Fe9nMrAmr0m+ZJ58VpsCK8YgBQ9tCAUN0h1SLoyYObvyw0B2vk1uy3nqZG3ZOpt+kyqb66nwfiYDa8YosPJAFApBEvML7eCOulEpwVswdWbdrBL358sBbQgFC3KytLIVWKQwE8NVzHI/U0NjLpXVuRulhsZsnBsS5sXOBcu4JxjJLhQKjblDvXJ1tjEHxdJDkCUTbQgFC3poTKG7Deokd+cDLzQm/QJNHLHBLetmJZfmSlUq38ZZ1i1VLABP74pKnjfyOlN0Vm+d3Td+stHl8xoK3LtnpcrnFa0acyK/+sOCPkIK3Y0KK+6gacmlhNCYS2XZd/38myj5N3655zuGkSxI52hqg1DvZ3IEE/vTXQYU6Ug6e/Ys5s2bh3HjxuH06dMAgI0bN+Lvv/+WqlyJhnxiYIY+pOfbEKvGwMpNAM+oMJ1sWJ14FfKuWFI1pmITSBWNZCvCydJhtbDgebFovY+YYdMgEhroB/744w907doVCQkJOHDgAEaMGIFy5crh008/xaFDh/B///d/DD1LIJy7ZxuI2f3kRDzPbUiT7NJZvvOTlnisbENF72cycGlKNN5srBEbhOuGW2dWfiGx9QZtUKw6OlNDY6zznc35UDINoYBXa8yYMRgyZAh2796NyMhI1+vXX389fvzxR6nKlWhoydIKhhFMJxpSsjTBMqSVSOeezBi9j5iGkKszuEKdeHl5TSp6V6xIPFanrJu1b3BHbJDQydJm1q9fj7vvvtvr9SpVquDo0aNSlCoVsGPmzDskYtUYz/XKMyrk62xBpRvVi6VejpD0wZoWlM+zhoFSw6YEyQAjTw9we+1ly+UbyfLTF5zHoC6fBwBEREQgNTXV6/Vdu3YhMTFRilKlA/7ds/xrHT9ZWiCngPcVQbLgVH54ImSfhIlxeLchJFdnYdKZExoTktfFEEfepxXq12TFBZrleeN4V0g654qjzO1yHdfq5LxdDgRsCPXp0wdTpkxBVlYWACNOfejQITz++OO45ZZbpCtYYlFw1hitOaHifYTkl/wb6+xgFHWy9g9qyb8FoTFaHyH52NkJsQrl27gXmNguRMW8JunnDh0aMzFjxgxcuHABSUlJuHTpEjp27Ig6deogLi4O06ZNY+hYMqE3VOTdiTL7CLEqsKh9hEjl89RKN+n2JrPSzYqp6LIl83R2wQpBKlVRaM/9V50O3u7vjVfZy8o95UwsCD4BV40lJCRgxYoVWL16Nf744w9cuHABzZs3R9euXRn6lWA4O6wVzbqYoTHpJ2FapRsPWs8VeK6Dir2P5EOvdFMqzJRXvjx4RgW/XYhKnjdKuA0grMHlRcCGkJP27dujffv2MnUpXbj2V5ZHiACts7SnPAVDY6RwHqdqzEC2ztTeR8zwByk0ZkX4Q8kcIdo6y4fmAbfgZlV+OM+gpOYI+WUIvfrqq34LfPDBB4usTOmCc7fBnWPDyhHyOGhZ1UyEOxpaiTTRi0UbSWAKAZG8nMSxILJ78rAuRIDHsW1X5ybKFhKO9IiqyLaHIz09XZrcnLAYpMdWgy28nFS5AGCPKYf08GrGNmTqHBKJ9NhqQEiidJ1DIhOQHlsNIiJBquxshCA9thocSJKuc3EICwtDSEhIseX4ZQjNnDnT9PuJEyeQlpaGMmXKADA6TUdHRyMpKUkbQv4iSHdI1PJ5A5U8QswcIVYFFi8EyTTePJ5Lb0DHLN1lhahzxTLzmiQnxApCibQQAkePHoW90zjsDxHIjiyH/fv3S5PvSL4a+yvUQ4wtUqpcAIhrPQT7xe3ICk+Qq3O5OtjfbgZgC5euc0Kzm7Df0Q0iNFaq7OzQ8tjfbgayESpd5+JSpkwZVKpUqVg3M34ZQp5/+Pvvv4/Zs2dj/vz5qF+/PgBg586dGDFihM/+Qpp8IJU5OuW5mtvJxIL26tIvHII/YkO2983dDZsHK5xnCGfl28hHzVL0vE/kSpa5bxw9ehRnz55FxUqVUTYsC1mxlREeU1aa/PRzJxCZEY6LiEZMUoo0uQBw8bgNMUhDRmQiIuLltYZJv3AGkWkhSEcEIpNqSpMLABdOhiHWkYpLYWURVbayNLmZly4g/LxAJkIRLlnnoiKEQFpaGo4fPw4AqFy56H9vwDlC48ePxyeffOIyggCgfv36mDlzJvr164c777yzyMqULljZ/Z49eWTjNCrku/0dsMEOIb1XjPtyxAtVSO9v48oRIo4FkexdYfYRcoVsCOtMGxRLTfDmeQwN5KxzTk4Ozp49i6SkJERlHEcUsmEPD0eEx0SC4iIuhSEyx4ZsW4hp0oEMssJCEClsQHiYVNkiMxyRmTYI2Dk659jgCAuVKtvmyETEJRvssCNcss7FISoqCgBw/PhxJCUlFTlMFvDRf+TIEWRnZ3u9npOTg2PHjhVJiVIJrY8QL9+GW4rOakDHu2g4WHkgNG+hR36X9Jlu/D5CDNPezgqNEXP1aDpLXmdnr7no6Gj3iwpVH/ENThW5/JKlnfuXc38rCgGfybt06YK7774bGzdudL22YcMG3HvvvbqEPiC4pZnGJkgdjynnBdLJhhpmcnoq5K6z2+CUD8+o8AyNyTYQeTlC7Isdc/SD/OaEzl4xko1kpvFDLZ/XuLl8jUEZ+1fAR9KCBQtQqVIltGzZEhEREYiIiECrVq1QsWJFzJs3r9gKlRrIydK5G5Erm9a11LMyiJQjRPDe0HrF5IqjdJZmVWAxR2wQr3W0sm7iBZo9roLak0dDRnuxikLAR39iYiKWLl2KHTt24OOPP8bHH3+M7du3Y+nSpUhKSmLoWDJhhT+ooTHe3C4H2VOhVCk6sXsrbZ2JoTFLevJIDzMpOBXdKVVBmyUYl/358+ejW7duBb7n5MmTSEpKwl9//eXxqrxj8MCBA7DZbNi8ebP5PwpYkEWLFrkqvmWRrx6KUOSGivXq1UO9evVk6lLKUC80xjxBsqaiMxuA0Uqkqd2wOYaQSVNS+TzDQKR3aSaWz9tIoTFOCNL7mcqkp6dj/Pjx+Pjjj12vDRkyBGfPnsWSJUtcr1WoUAGDBg3CxIkTMX/+fJMMGStRrVo1HDlyBBUqVPD7M/3798f1118f4JaIjXovAwI2hIYNG1bg/y9YsKDIypQqaMnSpo3Ile3KTSAeDrTyeWZPHrnYiOtMC0GCGBpzSmVOcqfdkBAN8cs8WdoKLNHUxzp/8skniI+PR7t27Qr9+NChQ9GiRQu8+OKLKFeunLTDIzMzE+Hh4ahUqVJAn4uKinJVWwWOOvtGIAR8S3HmzBnTz/Hjx/H999/j008/xdmzZwkqllSs8AixqsaYZd3qVLqxvFjUcB6t4prZR8iCUnTa9Hl1coSo43locLR1OByY9cZc1GnXBwlJ1VC9enXTUPHFixejd+/ert8nTZqEd955B59//jlsNhtsNhtWrVoFAGjcuDGSk5Px2WefFbjN//73v2jcuDEiIiKQkpKCGTNmmP4/JSUFU6dOxaBBgxAfH4+RI0d6haRsAvji2/+h6dUdEBkZic6dO+Odd96BzWZzXZ/zhsYmTZqEZs2a4d1330VKSgoSEhJw++234/z58673fLtiBdr3HYbEhu1Rvnx53HDDDdi7d28RVvbyJGCPkK8v0+Fw4N5770Xt2rWlKFUqYI1+8DihC5J3hYEDpAuHcD4wvSuS+9s4mF6s3P1Dts4ix/0LqzeW5P1PCF6+jXOdGT1IWeXzoBn2boQA0jK9268UlbTMHCDLgTRbDmyFyI0KC/G7wmjcuHGY+/ZczJw4Bi079cCZC5nYsWOH6/9Xr16NgQMHun5/5JFHsH37dqSmpmLhwoUAYHh/cmnVqhV++uknDB8+3Of2NmzYgNtuuw2TJk1C//79sXbtWtx3330oX748hgwZ4nrfSy+9hAkTJmDixIk+5Rw4dBj9Rj6K+0YOx70PjMamTZvwyCOPFPr37t27F0uWLMFXX32FM2fO4LbbbsPzzz/vMv4upqVhzMg70bBhA2TEVMWECRNw0003YfPmzbDbeT3arKLIOUKe2O12jBkzBp06dcJjjz0mQ2TJh5YsTSyfd4pl5q5IPwezLhqeHiHZ5fNO+fJhe96MxphyYXXwBjw7sLPCnAqN2HCtM6/k/1KWA1dNW06QDwD7CvzfbVO6Izq88Eve+fPn8corr2DGM09j8G29cCmmCqISklxDxs+ePYtz584hOTnZ9ZnY2FhERUUhIyPDZ6gqOTkZmzZtAuD7/Pnyyy+jS5cuGD9+PAAjB3fbtm148cUXTYbQddddh7Fjx7p+P3DggEnOgnffR/3aKZg2eTxiyldB/fr1sXXrVpM3yxcOhwOLFi1CXFwcAGDgwIFYuXKl63M39b0REWd2IwshCEtuigULFiAxMRHbtm1DkyZNCpStAtKOpL179/pstKgpBJVCY1YMMJWe4M3zrtBKpFn5Yx4yWTlCKiV4mzdBqnSj5DWxmkDyQmMqhdu2b9+OjIwMdOrQJvcVs/aXLl0CgIA6N0dFRSEtLc0kzdOw3759u1e+Ubt27bB7927k5Li9rS1btixwO7v37MfVVzYyvdaqVatC9UtJSXEZQYAxrsI5ugIA9uzZiwH3jUP9NtcjPj4eKSkpAIBDhw4VKlsFAvYIjRkzxvS7EAJHjhzB119/jcGDB0tTrMRDS5ZmnnKYOULez2RK5oSZDOR7KtzeFdnweh8Rm0CSRmyY85o4OUJc1GlT4CQq3I5tU7pLk5d29gSiL/2DNFs0oivVLXjbYf6NXygskbh8+fKw2Ww4c+aM33qePn0aiYnFn1cWExNTbBm+CAsLM/1us9ngcLhvlm7udytSKpfHm9MnolrT9nA4HGjSpAkyMzMp+lhNwIaQ073nxG63IzExETNmzCi0okzjCT9HSK0+QqyePBb0EZKsMtOLxdLZCi8WtfcRqTkhZ8RGrt4KVrrZbDa/wlN+ExGK6Gw7YLNLk1u3bl1ERUVh1U/r0PiOXl7/Hx4ejkaNGmHbtm2mPkLh4eEm740nW7duRadOnQD4Pq4bNmyINWvWmF5bs2YN6tWrF9D8rLp1auK7ld/Dc39ev36935/3xalTp7Br127Me/5xtGl9NUKTG2L16tXFknm5EfCe88MPPzD0KH2wOkubDjLZydJyxfmCEUoA2OXzrFJ07cUyJLOMCl6lm9u7wuvJI718nuV5M0ErW5QmKTIyEo8//jjGT3sJcWECLTp2x/n0vfjzzz9dyc7du3fH6tWr8fDDD7s+l5KSguXLl2Pnzp0oX748EhISEBYWhrS0NGzYsAHPPvtsvtscO3Ysrr76akydOhX9+/fHunXr8Prrr2P27NkB6T5s4AC8/tYCjJ88DfeMegibN2/GokWLAKDIoyjKli2L8uXL4e3/fIrEpCT8s+MknnjiiSLJulwJ+Cp83XXX+SyTT01NxXXXXSdDp9IBKVnaZregfJ4yroKcI0TJa3JugxOyYRgVYK2zBW0KmKExm+TKF15rBc+GihxvMrfkXw3Gjx+PB0cOwYSX5uCqVu3Rv39/U87M8OHDsXTpUpw7d8712ogRI1C/fn20bNkSiYmJLg/P559/jurVq6NDhw75bq958+b46KOPsHjxYjRp0gQTJkzAlClTTInS/lCzelV88vaL+OKrpWjatCnmzJmDp556CgAQERERkCwndrsd//fOO9iwZTuademH0aNH48UXXyySrMuVgD1Cq1at8hkXTE9Px08//SRFqdKBBaEx0ugH7ogN2TC9K+qF8xysi52SSenE0JhrneVD74atlNHCOW/Y7XY89tA9mPTQYFyKqYaoBHPn5kaNGqFXr16YPXs2xo0bB8AYP/Xtt996yXrllVcwYcIEH1sxr/Mtt9yCW265JV+d8laIAYYXSuQxtvt064guvW9DTHmjqm3atGmoWrWqK7l7yJAhJgNr0qRJmDRpkknGww8/bPJ2dbnuOmxb9V/kwI6Q5CsN7T2260sPlfDbEPrjjz9cz7dt24ajR4+6fs/JycGyZctQpUoVudqVZGg5FbzyeStc5rIPJptgeiqcT1j9mngJt0LyxU44ePuGg+TFMq0BbamJ5fPSvZwsw54PNTU9H+EvvvgivvzyywI/evLkSdx8880YMGCAl0CWzrMXfYQmV3dA1drpWLNmDV588UWMGjWqeEJVKvsrAn4bQs2aNXN1zPQVAouKisJrr70mVTlfvPHGG3jxxRdx9OhRXHnllXjttdcKLA/8+OOPMX78eBw4cAB169bFCy+8UIQ5KwxYHiFeaMwllhr+YI5+kA23fJ7ZR0i+UesM5zGaq5EuHKY1UKcCi94NW+E7eytJSUnBAw88UOB7KlSo4N1bj2xU7N5/CFNfHYYzZ8+ievXqGDt2rMtrpfGN34bQ/v37IYRArVq18Ouvv5pKAcPDw5GUlBRQdntR+PDDDzFmzBi8+eabaN26NWbNmoXu3btj586dSEpK8nr/2rVrMWDAADz33HO44YYb8P7776Nv377YuHFj8JtA0ZKlTRuRKo2bI+T9TAY2wbtA82Yz8Y0K2r4hVSpyZXLXGYD849DVDZthCHk/kymZGxor4a6Fy4CZkx/BMy+8hJhylQnSS6aR7PfRX6NGDaSkpMDhcKBly5aoUaOG66dy5cp0Iwgwum+OGDECQ4cORaNGjfDmm28iOjo630Gvr7zyCnr06IFHH30UDRs2xNSpU9G8eXO8/vrrdF0LhRj+yBGckzBjkrYT1ugHao4Q6WLHXGd3mEnFJpDEHCHSfDRm+bxsz6wlQ1dpdhAzwVsl44313am0BoHjl0foiy++QM+ePREWFoYvvviiwPf26dNHimJ5yczMxIYNG0wuPrvdjq5du2LdunU+P7Nu3TqvBpDdu3fHkiVL8t1ORkYGMjIyXL+npqYWT/F8YXdpFvJzVyxoTqhkmIkykoDUlI81DJRY6eZeB9m5WLzQGHPoqguSF4sTzmNRsi/QRUWbQ4HhlyHUt29fHD16FElJSejbt2++77PZbPk2lCouJ0+eRE5ODipWrGh6vWLFiqZheJ4cPXrU5/s9E73z8txzz2Hy5MnFV7gwmt4OJF8FVG4mXTRzWrchnxdmku0NcTWBpJb8yxbM78mjlpHMSi4lhsYsKJ9XyYvF9MyaxCuBFQZnSTVZOPh19DscDlcOjsPhyPeHZQRZybhx43Du3DnXz+HDhzkbqtEGaDEESG4mVazN8/BihWwIxxjNeHMtAfPEwOngzW2oKBfqTDd6OA9KGRV20lXfZkmOkFxUDF5pLj8k9jrnUqFCBYSEhODYsWOm148dO+Zz2i8AVKpUKaD3A0bTqaI2nrpcMDw2OUo2zaM1gZQq1cCZzCw9p4da8s/tfcSAFoJkhsaI+Tb0oasqVY25lkAhnZWkZJuafhlCr776qt8CH3zwwSIrUxDh4eFo0aIFVq5c6QrPORwOrFy5Mt8eCW3atMHKlStNjaFWrFiBNm3a+Hx/ScF5SpDe4IqYEOu8cAjSuApmuFD2OgtLDE6OUUGpziMNMBXEZGlQjQqnTNZ4Hm1UGGh/kzclc9/wyxCaOXOmX8JsNhvNEAKMyfeDBw9Gy5Yt0apVK8yaNQsXL17E0KFDAQCDBg1ClSpV8NxzzwEAHnroIXTs2BEzZsxAr169sHjxYvz22294++23aTpeDrDLjVXqI8QdYMpNPKbmetF6TDFg5dvwcoS4HiHnE3USvFVMllbT/CEZKjbTQ4nDL0No//79bD38on///jhx4gQmTJiAo0ePolmzZli2bJkrIfrQoUOwe8wMatu2Ld5//308/fTTePLJJ1G3bl0sWbIk+D2EyLBKpN2Jx0RPhULGm4MUZqKGIMkjNqjl89J7TPFGbDDndrHK57keIYW9K/moPH/+fHz44Yc+x2o4OXnyJBo1aoSNGzeiatWqufKs8LwpuM4AFi1ahIcfftjnPFMmxboNEkJYPl9k1KhROHjwIDIyMvDLL7+gdevWrv9btWqVa9Kuk1tvvRU7d+5ERkYGtm7depl0leZC69JMTDxm9eRxQSlFz30ghSCZlyO1jDcLcoRYydLMhooKJXi7IF2frb7sp6enY/z48Zg4caLrtSFDhnhVVVeoUAGDBg0yvc+JiqZKXp0XLVqEMmXKSJPfv39/7Nq1y/X7pEmT0KxZM2ny86NIhtD8+fPRpEkTREZGIjIyEk2aNMG8efNk66YpIizvCjdZ2vuZDGwiJ1eqel4sbnNCTi4WteSfIJkH767fbnMmS5P6CKmULB0kPvnkE8THx6Ndu3aFvnfo0KF47733cPr0ab/l5+TkwOEI/Bi9XAOFvga1+yIqKsrnlAg2AR9JEyZMwEMPPYTevXvj448/xscff4zevXtj9OjR+UzY1VgNq3zeFWYihsZYJ2EVK92UMiqolW6kfSNXnqsTu0zRuY+s/DGndKmiaf2aPDcigMyL8n6y0oCsS8ZPYe8NYP9xOByYMXs+6rTrgzIVKqN69eqYNm2a6/8XL16M3r17u36fNGkS3nnnHXz++eeumZyrVq0CADRu3BjJycn47LPP8t2e07PyxRdfoFGjRoiIiMChQ4eQkZGBRx55BFWqVEFMTAxat27tkutkzZo16NSpE6Kjo5Hc4Gp0v+M+nDl3FoDRIPjBBx9EUlISIiMj0b59e6xfv9712VWrVsFms2HlypVo2bIloqOj0bZtW+zcudP1nt9//x3dunVDXL32iK/fAS1atMBvv/2GVatWYejQoTh37pzrb3ZOsU9JScHUqVMxaNAgxMfHY+TIka5teYa9Nm/eDJvNhgMHDpjWwfl88uTJ+P33313y80Z8ZBFw+fycOXMwd+5c0zTdPn36oGnTpnjggQcwZcoUqQpqAsNmI3qEiHkgNO+KBZVu8nW2YJ2Z4yqkw11nAZv0yKm7gSfPEJJf6GZBgndWOjC9jjS5MbmPfjU8efIfIDym8PfB6Cc39+15mDlxLFp0vgFnz6eZGveuXr0aAwcOdP3+yCOPYPv27UhNTcXChQsBAOXKlXP9f6tWrfDTTz9h+PDhyO+4TktLwwsvvIB58+ahfPnySEpKwqhRo7Bt2zYsXrzYZUz16NEDW7ZsQd26dbF582Z06dIFw4YNwyuvvILss4exbvVPrp5+jz32GP773//inXfeQY0aNTB9+nR0794de/bsMen31FNPYcaMGUhMTMQ999yDYcOGYc2aNQCAO++8E02bNsVbUx9CiD0Em//JQFhYGNq2bYtZs2ZhwoQJLsMpNjbWJfOll17ChAkTXGHBAnvypacC2Rmml/r374+tW7di2bJl+O677wAACQkJ+csoBgEbQllZWWjZsqXX6y1atEB2drYUpTTFg3axyyufIZPVR0gpL5YF5fOkcB6zfJ42yoQaglSp0s2Z4M00ai9/zp8/j1deeQUznxmHwbf1RlpcCqLjyqJ9+/YAgLNnz+LcuXNITk52fSY2NhZRUVHIyMjw2acuOTkZmzZtKnC7WVlZmD17Nq688koARvHPwoULcejQIde2HnnkESxbtgwLFy7Es88+i+nTp6Nly5aYPXs2AODSkUi0qFsF56Mq4OLFi5gzZw4WLVqEnj17AgDmzp2LFStWYP78+Xj00Udd2542bRo6duwIAHjiiSfQq1cvpKenIzIyEocOHcLDDz+MBnVqAgDqtmvmssITEhJgs9l8/s3XXXcdxo4d6/q9QEPo3GEgI9n0UlRUFGJjYxEaGlpg7z8ZBGwIDRw4EHPmzMHLL79sev3tt9/GnXfeKU0xTdHh3fUzy7pJ/W1oFTaAU2fpBQO5S0Ax3lx5IJxEek6Ct3PfkCyXOsrE+5kcwR6SpbuETA+SydU7LMrwzEji4vmziLlwEBkIR0TlhgW/OSzaL5nbt29HRkYGOre/JvcV84pcunQJABAZGem3nlFRUUhLSzO9ljdsGh4ejqZNm7p+37JlC3JyclCvXj3T+zIyMlC+fHkARmjp1ltv9bnNvXv3Iisry5THFBYWhlatWmH79u2m93put3JlY2r98ePHUb16dYwZMwb33nsvFl/THF07tMatwx5A7Tp1C/2bfTlMLleK1Fl6/vz5+Pbbb3HNNcaO8ssvv+DQoUMYNGiQachpXmNJYw3s8nlGBZaD5KmwEY03p87yq2z4vY9UCuexQ2OcKkh2mwJDulTRZE8yAOPc4Wd4yi/CsgzjCuHS5EZFRRX4/+XLl4fNZsOZM2f8lnn69GkkJiYWul2bx7n1woULCAkJwYYNGxASEmJ6rzMEVZiu/hIWFuZ67tTBmaw9adIk9OvXDys+WYhvfliLiTOaYPHixbjpppsKlBkTY/4+nK1tPG8cs7KypOhfXAL2rW7duhXNmzdHYmIi9u7di71796JChQpo3rw5tm7dik2bNmHTpk3YvHkzQV2NP7C6B7svR8zQmHTRuSjkxbLA8ybfeOM3gWRVujF2OdfcLmpojNNHyE4NjV3+Xqy6desiKioKP6z+2ef/h4eHo1GjRti2bZvX6/nN29y6dSuuuuoqAP4fI1dddRVycnJw/Phx1KlTx/TjDBU1bdoUK1eu9Pn52rVrIzw83JXrAxiGx/r169GoUSO/dHBSt149jB75b3z7wWzcfNNNrjyogv7mvDgNwSNHjrheK8xOCER+cQjYI/TDDz8w9NBIhO+WV8hTQbzYsfquMOejsQwVGzPMRPOuuI032Vrzk/8B2SM2hOxyfA/4PXPkrXNkZCQef/xxPDXtZcSE2dG80w24cCkDf/75Z26yM9C9e3esXr3aNL4pJSUFy5cvx86dO1G+fHkkJCQgLCwMaWlp2LBhA5599lnjjX4uRr169XDnnXdi0KBBmDFjBq666iqcOHECK1euRNOmTdGrVy+MGzcOV1xxBe677z7cc889cJz9C+vWrEbPWwcipU4S7r33Xjz66KMoV64cqlevjunTpyMtLc31dxTGpUuX8Oijj6LPjTeifkIm/jpyHOt/+w233HKL62++cOECVq5ciSuvvBLR0dGIjvYdgqxTpw6qVauGSZMmYdq0adi1axdmzJjh8Q7vhUlJScH+/fuxefNmVK1aFXFxcZRZoLw9XxNEWC5u54WDeMKkjdggJPH6eCZTMmeduX2EuEayfMkAx3hzwvK8GcI5HiGVps+zGD9+PB4eORgTXpqD5le3Rv/+/XH8+HHX/w8fPhxLly7FuXPnXK+NGDEC9evXR8uWLZGYmOjyxHz++eeoXr06OnToELAeCxcuxKBBgzB27FjUr18fffv2xfr161G9enUAhrH07bff4vfff0erVq3Quc8AfP7tKoSEGqGu559/HrfccgsGDhyI5s2bY8+ePVi+fDnKli3r1/ZDQkJw6tQpDB8+HPU63ITb7nkcPXv0wOTJkwEY0xvuuece9O/fH4mJiZg+fXq+ssLCwvDBBx9gx44daNq0KV544QU888wz7jf42J1vueUW9OjRA507d0ZiYiI++OADP1cuMAL2CKWnp+O1117DDz/8gOPHj3s1fdq4caM05TRFg5Zv48pdkQ9rXIXrrp9wrXPdQUu/1jHXmVyKThqQagjnlc/Lhlc+z8wR8n4mHelLzdnf7HY7nnhoJCY8NBRp8bUQHWsu227UqBF69eqF2bNnY9y4cQCM0I+vcRuvvPJKoT32hgwZgiFDhni9HhYWhsmTJ7sMD1907NjRZXSlH9mBSHEJ56MMfSMjI/Hqq6/mOzi9U6dOXsUezZo1M732wQcfID0zC5EntxovVGoK2N05S3PmzMGcOXNMMpx9gfLSrl07/PHHH6bXxMk9QEYqAO91iIiIwCeffJLPXy6PgA2h4cOH49tvv0W/fv3QqlUrU3KX5vKAnSPESJZmN4HkeCpyJZN66HCr81QMQbJyhBRqrUAcC+KUZ6ckS5c8L9OLL76IL7/8ssD3nDx5EjfffLOp754T7XlzEvx1CNgQ+uqrr7B06VK/WotrrMcGXT5vkmqFzqRKN+ZMN/n5Ns4HRh8hTo6Qe99wJzfLhhoas8tea+ddPrGhIm2drSclJQUPPPBAge+pUKECHnvssTyvaueBb4K3LgEfSVWqVEFcXBxDF40keC5uK8q65Us2/mXkCHEMIZE7H43a30a6keyc6caAtM4OldsUAKwKrMvhDv3ygHdDwiNXZ1L+mGkbsrgMdreArw4zZszA448/joMHDzL00UjAlW/D6tJM7MnDSzxmlvxz1pkTziPlrlDX2fmEc8ak5ggxQ2OkPkKyvVjSG456yvbxTBYqmT+lGRn7V8ChsZYtWyI9PR21atVCdHS0qRETgIAm7GrYcLoHM3KEWLkrzEnavJL/vPJlws4RIuhsQfm8dFghSFPVmGwvp9x1dl4b0tLS/JsFVgRYIU1Voa0G0SFUXIHOjt15bZFACNgQGjBgAP7++288++yzqFixok6WvgwRwpabLKSOR4iXeJxbIs3okeIaV6HOBdrta1InF4vlqWCWz7vXWZ1kadn5YyEhIShTpoxRXRzmQGwYkJWRKXUfSc/MREi2QBYEctLTpckFgKxsgRwIZGRkwh4qT3ZGhqGzgIBNss6ZWQ4ICGRmZiFdouyMrGwgO3e/SE8HQoo0lMI3WTmG7IxMwO6/zkIIpKWl4fjx4yhTpoxX9+1ACPivWbt2LdatW+caDKe5/GCXzzPuO1jl88zKDH6bAmbIRrZgZlK6eRvy5DFzhPjT5+UfhzaPf+Xg7IB8Yu9enAwJQ/a5UIQW4849LxkZ6Yi4dAI5CEHIRXlyASDn7HGEIAeZUTaER/g/V6wwMjKzEJF2AgI22C7ulyYXALLPHUOoyEJ6eA4io89Kk5uV40DY+RPGL+fDTeXzxebCcSA7HYgWQPiZgD9epkyZYg9lDdgQatCggWvonObyhFU+7+7JQ8wDUSn8wV5nuVJzZbJHbMhHRZ35jStBClHL1dlms6Fy5cooN28kRGRZHOr7X1SvliJN/u8bf0GDtWNxxlYGZe//TppcADj9+giUw1ls7zAbNRsUMtA1ALbu2osGa8YiB3aEjPpVmlwA+Putx1Alaz9+aTweDTvfKE3uwZMXUWNZf+OXod8CMeWkycZnLwB//wZ0exao2S2gj4aFhRXLE+QkYEPo+eefx9ixYzFt2jRcccUVXnG5+Pj4YiulKR7s5FLu3C4F+wgplHicdxuy5THL53neFWabAtmCicnSrHUGEJpzCSEXLyIkJDSgqe2FIYQDkRcOI8J+UapcAAi/+DcixWnYbEKubHsIIi8chgM22CXrHJp2FJEZh+HIzpKqc0h4NiIvHDZ+iQgFZOqdfgK4cBiwZ8uVGwABG0I9evQAAHTp0sX0uhACNpvNkgFpmvyx2Wy0JF5qjpDNlqsuqVcMxYtFrnQj5DXRvYXMcRUkI9kBG8u5Ata+AUB+fibLeAMQkhvutcnep22sY9CjaQNpBpudoTOpw7vNBjiEDXab4N2sBjHfWOrQ1S1bthRLGY0ceA0VLei74lCpezCpTYGDH2aS713hjQWh6UztI8Qqnzd0djBmxpCrIM3bkINznW0ElVk5kSbDSghuFa5E2OkLwWxYELAh1LFjR9Pv58+fxwcffIB58+Zhw4YNGDVqlDTlNEWDN2KDZ7nzp88z+9uoN8CUN/pBPZ2Z+WO8kn8edpK3EABtLIj88SvMbtge8iQbQtzKXhsAwTvfBdEjVGSf348//ojBgwejcuXKeOmll3Ddddfh559/lqmbpoi4DSGyfKkyDaRPn6fm25AOXMEs63bK5MxHo0xyp+Wu8NaZ3UfIQc3Fki3Yw5cgeRs22jrzbvxMIU2aUSH/u3QdJwrdRPlLQB6ho0ePYtGiRZg/fz5SU1Nx2223ISMjA0uWLEGjRo1YOmoChFbWLXjl84wkW0Mws+SfcxJmtilgJfHaLAibyp81pm5ojFrpRgqbMqAlpcOi0JjktbZb4Jml5b2xDHE/8HvLvXv3Rv369fHHH39g1qxZ+Oeff/Daa68xddMUEXZoTKXZTG6pvLt+tRKP1avOo7UpIOJeDXX2DUELMzFL/i0IjZHCeQAUSzxmne9y5amQLP3NN9/gwQcfxL333ou6desyddIUE175PDNHyPmElFNBzGtiNW1UKvHYgnAeqxRdMBKPaZ4K/s2ISiX/NC+WSaY6bSwsmQdZAkNjfnuEVq9ejfPnz6NFixZo3bo1Xn/9dZw8eZKpm6bIsC52zgdmQiznbkOloavuix2vfJ7V6I/pqVApR4htcFI9nMzQmOTwB+MGxy2c1caClyPEHdjMDo0pYAhdc801mDt3Lo4cOYK7774bixcvRnJyMhwOB1asWIHz588z9dT4iQ08y506+oHc+0ilE4MV+TY8nRlwc1cE5I/udJd1E3WWHbGheVeYoTHSQF5w+vwA8C6fl4jLIyQ7wRt8r70SHiEnMTExGDZsGFavXo0tW7Zg7NixeP7555GUlIQ+ffowdNQECK8yiO+WF0qVz3MMTtcaEM4LrIpCQTU4nU8krzPVeHNthSKPGTbltVYALd+GY7SwPBWe8tTJ1aM1Y1XJI+SL+vXrY/r06fjrr7/wwQcfyNJJU0xYFw75nX1N0o0H6jZYcNaZE/5wPuGsMyfMxLrr54eZWH2EmOXzVI+Q7Aos1xNGjpBzG+okSzM94JQ2E4CaHiFfhISEoG/fvvjiiy9kiNMUEzVHPxjwSqTVu3AwLnauUILs3AQlc1cU1JkqlSTdlCPE6cnD7SOkUI6Q06iwM84d5IpTVT1CmssTXo4Qb4d12Eh9V1zGm2SxICZLE71irB5T3BJYfo6QbNg5Qsw2BSwvluc2pOG6GZGPqySfWT6vVOjU+5kcwSXEI6S53OBeoFU6yJieCne5sTr9mnjlxsR9I3cZZBsVtNAHeB5O6jFI7obtuQ15ki3oI0Qq+QdAuFn1sQ1J8HOEJIsNAG0IlUD40+dVcrvmimXu6tKvG8SyblcTSOmSAZByV1wyWfk2PIOTdcfPDZsyPUKcMBMzNCa9RJ/oEXLrrNKIDecT7RHSSIRdPs9MxJN/Z5cjWZ4bB+sCzRyxwfJiWRCyYa0zp/cRKX+MWOnG633EyxFi9hFiJR6bbsoUOkfrPkIapeC5MPPIZ8iUXumWR75c6bnbUCfxmHexo0g1yZTfbJMf6mV5V5gVhaxO6aaNSBPnLJ9nhMZIF2jmiA2id4V2XdE5QhrZ2Gz8fBvO/so6CHh3G7TkQeKFiFduzAubClpCrPsEbKP1imGFxmyQ3gaS5sXykMeswJIumWV0WhEakyoWNpuNVxxCq87zH20IlUDYSW3M0Q9wcEI2KnmxnOIclBMDK87P7ywtfZ0dCuYIUe+ebR7/SsR0HuIYFVQvluzj0OQRkl1o4ZRHPEcrVXHqH9oQKoGwugcrGbIhVmCx8hOY+Ta05oRUg9NA/sXOghwh4ogN6ZBnupm3IUly7jozOkuHMHMiBce4d32DCg7G1qExjVToZY5KGUJO1MkRchtv8nG7zFnVeUxPhTo5Qk6UalOQ+8jKxXIQmnmZwoO0/lty9TbCTE44+4f86XkWXFe0R0gjEyE4RgWzoSJrzhGtBBZqerF4bQqYnjdWdZ6CHk7iiA1ec0KiwclKPGbORwOxOIS41rxmrNojpCFAu9uwIPwhe1CsijlCVujMG2XCNN4kS2X2EaLNGuOXz7N05vSYIiUem0r+iXqzRmxQddbl8xoFcLAOstxH5kgC+Tcb/Lt+RldbT/kUmQp2HWeFxqi5WAp53pQMQXpe8GWe75hjQcDzrjC70vNHCmlDSCMRuuVO9QiRwnnUE4NswVYYbypeoFXS2bwN2eK4+4Z8yZ7y5cLKEfI8I6kXouYaFdojpLnMMfV7YN1tMHZYZyhBxREbCt3VsfvbUHKxWAN5PUJjsrWmG5zCRujzxx1lIiBfZ15ojJ0j5P1MBqxztA28SjftEdJQ4LkweXkgblex3JEYrtwVwjHmcJWiyw4lWLDOtC7NzIuGZLnMXCyaUWFBjpBC5w1esjSz95FHvpT09AUVK3u1R0hDgJaI5+OZdOnSz/DMuw31KrDcSbySsaTRnzptCpyoNWJDxRCkpyEkc//w8Nko1JPHmlQAdXL1/EUbQiUQ3omdXz6vVJiJ1ZOH1g8FYIXGnOvMqcDijn5Q0ahgrDOvaoyYSG/nh8Zkj18xxiCRS9Ht8vcP2vR57RHSMOD3qODdIfEGayp04XBd7BglsAa8JpAKVauomItlgfHGCudReh9ZkCytUim63bVPqzRiI/dRG0IamdBKM6n9bTg5FSqWkzLzmti5K9zQmGSpFuQIqTTKhLXOTujl81I9Qu4bBZXOHW7vimSxpk2odO7wD20IlUB4rdBzUShmzu0VQ04eVPAETAl/uMJMJC8WweJ0e95Y+4Z8aH2xqMeg5y+kPkJKVY15P5OFHrGhUQxyibSCRgVzxAar5J8zFd1AvneFGc5jVUEaDypOn6eO2CAZb9x1Bi80puQNifz9Q4/Y0CgFK6nNitAYbdYYJfzBDUEyDk9W2a4VVWPS8ShFl97fhh4ak78qjFCsIdh93pC+CQtCYwxPBauNhd3pzWMmeOtkaY0K8MrnLXBxqxgak7zO7rEgDNhJvPJxe95kr7MFM90UTPBWacSGYHmEPGQp5QEXeeXLFK3L5zUKwTYqVJrk7u60KlWsIZNcncc0OJXqFaNkfxvzNuSJs8IQUmidWQ0VzRuRLpF/7pAPK69Je4Q0FHhGhfcz+dLViZnTqmyceSCUE4N6pejsnisco4IUGqOGep06yxbMyxEyB9s4HiGb5PJ5G6wwKkIky/U4hyrktfcXbQiVQGg5QlBv9IPNitCYUhc7VviDH2aSjRXl8/KNN375PEtnyoXOihEbFA84J1fPDub5zvuZVMnaI6SRCzmpjZlTQTMq5MPKXbHEeJO8IFYMipXfBNKAF0wg5AgJ04Nc0blfnV0hwx7wHAbKGbHBgJa+YME5WnuENEpAywNx5QjJFWveBkegUnfQKurMTNJk5Qgp3XWcF84zNiM/zMQyLSieCmc4j3SyY3mTXZ2lCWrrERsapWDnCFHbt0v3rji7NCvUct6CfBveAFP1QpAq9hHitoOAZEOIOWKD5alg7huk853p71fofKc9Qv5z+vRp3HnnnYiPj0eZMmUwfPhwXLhwocDPdOrUCTabzfRzzz33WKRx8GDnCDF2WH6zLvm4LhxK9Wtiubfd/W3kw0pKZ+YIsbxYVuQIGVuQB9cjRDl3UNeZdI72LPlXqfv/ZeARCg3algPkzjvvxJEjR7BixQpkZWVh6NChGDlyJN5///0CPzdixAhMmTLF9Xt0dDRb1csAY4cSpH4PnDJY7qwxlfKaBLUEltumgJNYyvEWCo99Q/aEcXdeEzHnTfpSe3qEHAAkVR55nDfkrzPXu8IL5zGOQ09ZctfZqM7jHIcuw4rgtfcXJQyh7du3Y9myZVi/fj1atmwJAHjttddw/fXX46WXXkJycnK+n42OjkalSpWsUvWygBdKyJWq4N2GgxIacz6R7REyHjljFLgl/5SwKTlHiBH+4Jf88/YNz+3IgZsszSkOIa6z92YkyeJ6hPSIjSCzbt06lClTxmUEAUDXrl1ht9vxyy+/FPjZ9957DxUqVECTJk0wbtw4pKWlFfj+jIwMpKammn5Ugx0ak91XA3CfcGTnrrDmgAHglUhLz99xwyrbBYihMfIoE8oF2s4fsSEb8zoQkqUJGbw2m40cGoN0L5bNRqp0o5f8l9xkaSU8QkePHkVSUpLptdDQUJQrVw5Hjx7N93N33HEHatSogeTkZPzxxx94/PHHsXPnTnz66af5fua5557D5MmTpekeDNhl3ZyTcN4nciVzxyioE4J0nn9VqsCyJMxEQqWGit6hMUlYFWai6KxS1RgvNGZIJ4fGgkhQDaEnnngCL7zwQoHv2b59e5Hljxw50vX8iiuuQOXKldGlSxfs3bsXtWvX9vmZcePGYcyYMa7fU1NTUa1atSLrEAwo5aQmeeqEEpg5Qiys6MnDau3PMTjN25An2IJKN9aYG5WaE5JDY5wQtUWGkFLz0byfSZVcWj1CY8eOxZAhQwp8T61atVCpUiUcP37c9Hp2djZOnz4dUP5P69atAQB79uzJ1xCKiIhARESE3zIvR3hzbJzyeeMqaDlCChlvVnix5AtmerFYIUh++bxKfYTYoTF6KbpSOns/kymVkXjsKMEjNoJqCCUmJiIxMbHQ97Vp0wZnz57Fhg0b0KJFCwDA999/D4fD4TJu/GHz5s0AgMqVKxdJX1XgeVecPXmkigXgPuGwJl8zY+byuwfnGhVMnRXqI0QzKpgdvFkVMMy8JnIfIQEbZe/glKKzy+cJuXoesrjBppLnEVIiWbphw4bo0aMHRowYgV9//RVr1qzBqFGjcPvtt7sqxv7++280aNAAv/76KwBg7969mDp1KjZs2IADBw7giy++wKBBg3DttdeiadOmwfxz6PBjueqEErghG6dMyblYVuhMC9nIh2ZwEnOE3EeKOvkUpv2NMK5CraqxXJHSJebdACc0plIbi8vBI6SEIQQY1V8NGjRAly5dcP3116N9+/Z4++23Xf+flZWFnTt3uqrCwsPD8d1336Fbt25o0KABxo4di1tuuQVffvllsP4Ey2CXolNLSmluV2Y3bFZlkHreFWrXcZLOnI7H5FCvsEv3r9hME8sJVWMkjxAlzKR4srTs49Bc6VbyPEJKVI0BQLly5QpsnpiSkgLh8QVVq1YN//vf/6xQ7bKDN63bCu8KKZxHNSoko6TnTb3yeStK0XkGp3xMIW+FwkycxGOrdCaVzyuYX6g9Qhqp0OZ2uSx3qWIBeORUXAallP7iHrHByreRD7s5IedkRs7FouTbsPoIKVg+T9yfbfDMEeKE8+Q7Kmz0ERuc0JjzCed8p3OENFLh51SoUyKtpBfLkosdad+gnMy4FVi83BX3NmTL49wuqFdRaJbLCI1x4PcRkg87v1B7hDRSUXr6PO0CzdvVaQYnpYO3im0KSOXzKjaBJOY1mfY3JSe5M3TmnDcoeZymERvqnaODOWtMG0IlENaIDfkuUQ/RrHAeMQ/EQbtAW5G7whplwihFZ4XzmNPnueXzHFh9hJw6q+QRIua8wcO4J3TDNlAnv9C1Bjo0ppGJe6YPqaybWZpJO/Woc9fvXgnmyUy2YH6YieZ5I+xytPJ5ZjjP1EdIwXEVFKNC0YaK1HOHLp/XKAC7fJ55kNmkX5T4eU00VzHTqFAod4VXPp9XvkwMmXalwnne25EkzONf+XDOd1YZbzKFWpQsTQuNaUNIIxPWtG7XyYG32wjWoFiVvFhMnVml6MR9g5Yj5OqUrlCpsUe+jWy1bQByBGH/yBXF0NkQz0uWVnHEhoPR+h/EERsutCGkkQhrh2VOn3fqLN9TQcwDoSUeM3XOXWfp7m3m6Afng6I5Qkr2t1FHZz1iAyZZdM8bweAEoD1CGrnQQ2N2wm7juqkj5dswklddSbycmDnTqOB5hHi5K6wcIcpdPznfhl+BJb8nD0Nnm42vs2ytDZ2dm2F4seywqTJiw2QI6aoxjVTYoTGVwkwWVLrpdSb3a1K3fN5zO1IgV2A5GPuH0lVjLC+FipVuPM9bsNGGUAmEVz7POsQ8QmOkbtiUvivkdeaGxtTJa2LPR6P0PjLd3RLyQNgXaIqngmQIuWZgyRQqUZYPuN2wWb2PyE0gdWhMIxPeVHTnHQdzt5HtqeDdjbL623DnozlRJzTmqqGTnvNG3DdMHiFGHgg5iVfrDICXeMzNxeJAn4+mQ2MamfAGa1pQgUXyOnGkqugRIvU+oiZLsyvdyBC8K/SLHeGuX6kRGyrqTO/XZN6OHKGesrRHSCMRVr8HFed2ue6SiC3nVfII0UeZMMN5pH3DIZjjCIzf5AnmhpmYFVhKjdig6+x8oo7OFLnaI6RhIWj9HlxBCslyiZ4KC3SW7xHKI1+maJuKXizzNuQJ5nlX2HO7tKfCDSfBm60zoXzeqn2DsD8D0DlCGrlQYuYeklUc6Kekd4Vyh8RNPKYOMKXtG7x1NjbAGVfBKevmXewMnRUp6yYbFXm3I0cUt00BGOusy+c1LNgl0txYrko6c/NtOF4sTik6NcGblSNETi712JBEUVYlHhN0JiQemwwrUkNFRgdvTjjPfa5j7B2UlAuTUaU9QhqJsAZrMkds8JKlc++SFByxQSnrzn1UySPEyxEyHhitFcwNFdUpn1dzXIWCOjNGmZD3Dc7EAu0R0pDgNfrjeSqcB6/sLs3WlEirlIvFyh+zoORf+jLzPELmmwWVPEI8TwXL86bmiA31dKZ7hHSOkEYmzmNL/jyp3Adi0zz5Z0tiHohr9ANnUCxz9APLu0It+ZfeF0vdHCE1R2yQG/0pMhbELR0Ug1OpfUPnCGlY8PoIqVfW7b7YyYfn/WCus/MJJ6+JOcCUN3RVPqZ0GD1iQ54sX+KpOqsUzlPRi+UpS3uENBKhnMxg0Qws6V4sC/KalMy34VQU8kY/uLchWx4nF4vk/XDe9SvV8dgqj1Ap967QK914eU2GeG0IaSTCNioYOyzdi0XUWf58NAs8QiTviko9prh30KzQmLrjKlg5QsyQjVq5WFblj7FGbGhDSCMTUrkxNaeCNbfLZbyp5xHiGpzyJQOc6jx67yNGboIFVWM2yWtt6hVDqWayU651HONeV7p5YrPZ3LsxIzQWxPwgQBtCJRJaHogznKJSKTrTXexSWR2dbSwjmXk3amflCDHX2bQheYKVzAPheYTMTSAlCjats2yD08Y5RxN7HwGeoU11crH8RRtCJRBW0zyabxukEzDYeU3OC7RcmDPdXG0KWF3HqeE80LwrDHIEw6iwKGRD8FSw8qa4IzY4MEdsKFXp5pQaxLAYoA2hEgklzg/PfBuVRj8wc1fybkMW/C7NKpXPm/NtCHfQpKsdM6dCxTwQtXKEnDqzEry9nxVfqIo9ppxRBh0a00iGl3hsRdWYbJ0NlMxdobYpkIuNeOGgTXJn5ryBFe5V966fVzXmfMLYNzhwjAqnSPK+QfC86dCYRjrsWWMqVTOp2FmaWenGSYZ1y2NcOAQr8ZjuqXA+Ueeun5kHwous83rysIw3ps68/ZnQlV57hDQs3HkgnIsdxaiwMWLmAPOu33WBZnXwVilHyHnhIIZNPbcjBXp/G8I+Te5vk3c7MmXxZmAxy+c5UHS2zPMmX2edI6SRjvMCKiQbQnZijhDPI0T0VJDzmrj5NiwjWT600JhVHiFKEi8p/KFygjfBU6FWE0iLcrEYVWPaI6SRD6+KQrJUD9heLGLuimSV3YaVOs0J3QYnw/PmIZOSB6LSxc5tVEivVoSN1JVewUo3ZomsSTrD8yZ/f7aBPWJDe4Q0kuHPhJG/21ByE0DOtyH15KHejbJ0JuYImRsHytsC01tIMyoUrgyi9GsCt/eRQ8hvAsnWGeBEmpitFbRHSEOAkQfisfMz47nSxyjwK7Dk9+ThwR9XQa4aUypHiJkHwq4aUyeviTtigwOnSlbd/TnIDiFtCJVEmD0qDKkqVWAxXa/cLs2cE5p6HiF2HyEWqnlXzHLV0dljQxJFsZPS1asac29H5whpFIDqwgTXEJKeeEy8g+ZlTTETjznbYBpvghQa499BM4Ra5V1hrLN6OvOH26qRI2SWq3OENArAjj9zqsY4peiusBVlPlruiA3ZydLEUnS3zvT7RmkIskdIqfAHeTYTtTKIVT4v1PNiUUZsKNwXS3uENNJh3iGx4A9dZeauqDS3S+VwHkj5NurlVKiYb+OgdTxWseTf+5ksqfwqSN1HSKMA3Ls61gXaQL53hZe74jyvy088JhqdTp2lV7pZYbwZv8kTrF7fFaHwXb9aYSaVq/M4qOgt9BdtCJVAmE3RAJZ3hVM+z/UIsUr+eZ4Kt0te9jrzLhy8ERvcO2hKiJrsxeK0seB6sdTUmWFU5JUtF2pbFh0a08jGfeGQH38GQCrAUjFHiNtZmukuZnmEODqTc4RIy8wu65be38bm6V1h5K7YuBEQks4cGPsGsV+TDQDRi6VDYxrpUFzFnhdO4ogN6R2PnfIJB5qNcscPUO/6aQ0VDeg5QgS9WRcOThsLrheLc7FzPjCamnJzhByMDt4sneGpsypVstojpCFB8VQo2kfI7RVTR2dmRRfnBMxuKsnxCNksu+tXJw9E6W7YCuWuuHcJdXTmViNrj5BGMuwRGwzvCu8CzU/i5fU+4lW62RWqdAO5j5Agxcaoc7voFVhypUoX6QE3F0ul8nl2pRsvr0l7hDQEeLkJJvkSYXeWpnqxWHlNFDgnSW75vEfpNSGnQq1SdLbO5u3IEWrVJHc18m0Muc4n8r0rKu7PQXYIaUOoJMI5eLlVYyB7V+jVTHIlA7CgS7NSfaacT1TqFaNifxvGXT/XI8TMxaIbFQxvoUrGm84R0rBgXjQAkCqwfGxHiuDckwOzAouULE3vyVPa2/tbdeFQ6AKtYsk/K6xuyObASBHiG296xIZGIdwnHIJ7m5VPYSPoDM9cGPl6cy7OHnlNzFwsQHJIz3lnJ1Gkt3RKKIE/RkGl5FJm4jEH7qBYlvHGHLGhkEdIj9jQ0KEMIWShXhNIVzhP+omeeZfESTy20S8czJ485NOgUiXSvHV2wA4btdCC06+JAbMUndIOAjaPRr16xIZGAZwHQuThn4BPRwKZacUTuHMZ8NndAHgnM+cFOubcbuDjocDFk8UTd3Ad8MlQCXoVQO4yhGedAz4eApzeXzx5x/4EPhqMiHTjb+fc2Xkc8h8PAY78UTxxZw4CHw9FzJntAEgXDs9mbp8MAw6sLp68iyeBT0ci4tD/AHB0tgHuC8enI4AdXxdPYMYF4IsHYNu2BIAFd/1fPABsfr94wrIzgW8eBzYsMsuWiA0291osexJYN7t4AoUAVk4B1swCwDnfmXT+33Tg+2nFF7p6lqE3jP2OcYp26bxhIbD0McBRTINowyJDDqA9Qhr5mGLEf3wIrH21eAI/6A/sWwWAd4dk0vnPT40TaHH4aBDw52euXwVxkjsAY1sfDy6ewC8fAnIvdIZ8coL3jq+ABT2KJ3DlZOP7cspnj6v461dgUa/iCft5NvDHh/xKN6fOp/cCi+8onrCt/wU2/h9sWWlm2ZJxrUXaKWDJvcUTdmgd8MubwKXTZtmSca1F9iVg+TggO6Pows4eBH6aAZw/AsCC853IAX6cDpw9VHRhWZeA7yYCp/eZZUvGJPfXt4D9q4on8MuHgGNbcn/RHiGNdPLsVKl/S5NMD304ObWneAIvHi9YvgS8ZB7dWjyBf60vWL4EvGRmXSyewP0/5ZHPQepaHPk9j2wOUnU+c4An2yQ3D8W56881gPKVLQkvuZfOFl1Ypvl4oCd4O5Gos2X7c8aFYgjLo6X2CGlk47XD2sMkymaRR+cQeToDLKMiDwroLP3OKyTc9CvvwiGRPDrzjHuJeOnMLuvOpTiGcp7zjmU3URnniy4s61Ie2Rzk6mxOfbDsGHRkF11YTpb5d50jpJGN1w5bHFexl2yL7kSz0yXLZ3c8hhI6Sz+xeyVOkkM2Msijs2UXu5xiXDi8dLbIEEpPLbqwPMeDZTdRGeeKLiorbz6lRRfojGKscx7jjYWXIVssnYO0zvmgDaESiNdFIydTomx2j4pc8t4xFFc+uxSdAMcQknzI57lA0zseSxGWV2eLPBWZxQklWLXOeXUuhkfIy1NhQe4KUEydzUYFrV1I3n1O6jpb5BEqTmgsr/GmQ2Ma2fj0rvyzOfB4/4UTwLm/8si26ASck2noHKhBdOmsK2nQjEWG0LE/A6/Sy7wInNjlLd8q4+3kbuDSmcAEZWcAx7Yh795GH2Dq5NReY/8MhJxs4OiW4HmETu0FzgWYr+dwGJV9Iqdg2ZLwmmF25oBXfpIfQox1zhPusezckfqPsdaBcnw7kG72JlnmAb9wDDi+I3BBJ3cDF08VLFsSXmuRdqpoeZFnDgLn/zG/FlyHEEKDu3kNA68ddvsXxk/re4Gez/snJDsTeONqryQ+y+74T+8D3u4INOwD9H/Xf0Hzuvg8cTPyE3yeJOe0Baq2Au5a4b+g924FDq71T35x8SXy9ZZAfFVgzJ/+y/nsblNVnhPLLhyvNQfsocD4k/7nF3z7NPDLHB+yLfIIzbvOeHzyHyA8xj8ha2YZlXl5sOw4fP9W4/HhLUCZ6v4J+f0DnxVnlumc2+oDI74HqrTwT8ie74D/3OL1smWet+VPGo8DFgP1e/on5MgfwFsdvF62zCO0+mXj54aZQMth/glJ/Qd49Sovw157hDQE8jl4f5lj3EEU5oY9uccoI710Bt67P6ONG/K/mG3/wjBsCquqOHPA8BCc2uM7iY/Y+8iLv3417vwL81ik/gOcPwYcXAOf93EMnfOTmfqXoUvqP77/34nTS+jDCCpQfjGwweb75O7INgzmMwcLFnDpjNHjyYcRBACM6IfNVsCd+bE/C/dYZFwwjtVf3vT53wI26XfRNpst/wv//p+AEzsLFpCVbnhVfv/A538LwrnDWOd8pG75r+G1LKihpdNLuGOpz/+2XOdf3jS8LAV574UwjKBD63z/twQd82KzFWBgfT/N2KcLy4E79qfxt+U1gowtFFvH4qA9QiWQAu/KX78aqNkBuG68EXaq2tJoMBdTAdi1DIiIB/5zs/HoA8vukPLqXLYm0G++cbGu1clwrcYlA7u+AeIqAwuvB8Kj85dPuOMocC1mXwOERgKDvzCMs/q9gHOHgDI1gF3LjbvrBd0Nr0Z+OludIzSriVHpM3w5cHIX0PBG4NxhoGwKsO8Hw2v0f30KNEot8wg5ea05YAsBhi03jOGGvY0wQ0JV4PAvQGQZo6no8fy9Xfz5aHmY/y/jceBnhmFZv6eReBqTBBzbCkAYF5e9K/OVbVmYycnn9xmP/RYa5406XQFHlnGeOHsISDsJbHoP+D3/Joy8USb5yP35DePn+peAqLJA9TbGMRkSauzDJ3cZNyGrZ14+Ou9bBbzZDuj4OFCxCVCxMRBd3gjnOrKBw78aN6nLnwTCY/PR2eIqyLSThie8xRCgQW8grqJxvs5KM6od9//PyAn67G7jePRFkD1C2hAqgRR8RyCA/T8ahgOE4To+/AtQ7Rrg8M/ut6WfzefTQTCEcjKBkzuBN9sbv9doZ5zAqrcFDnmElC7lXx1neSl6RqrxM/sa4/eUDsCBn9w62+w+Kq7MWF41lpNp/DjX+TLRuVC5IgeY39V4XqM9cHC1W+eQCCCn4KpJy/rb5OXdm4zH6m2MY7BKS+DvDcY6OwrOjQvKOgPubu1VWhh3+OXrGB65zMLLv73yj6RRiNyljxiPFZsYhn1EvOFVSf2r4M/Bwpy3vPzvBeOxbIpheGZeBOIqASc88ojySb63rDovLxsWGT/R5Q2j/vQ+oGIj4J9N7vfkc10Jdvm8NoRKIH4dvM4T7eFfch9/zv+9nh8L1gnYk4NrjMdD3nk1UuT7KzOQg/dAbuNBp85+zOthzkfziyLoHPT942Du+A2nzoUYQQBPZ7/X2hni+OtX49Fn6MAMT2c/+XuD8XjM/2TZoO8bTl3zJEQXRNCrID3zHfMzIvJgWRVkfqSdMn4AsxFUEDpHyD+mTZuGtm3bIjo6GmXKlPHrM0IITJgwAZUrV0ZUVBS6du2K3bt3cxW9DGCeJIN2J1psVCyfZ8gkrzPpzo6rt8XhDwnwQja8SwJNZ5qnKQihMQlYMgZJOsE17JUxhDIzM3Hrrbfi3nv9n38zffp0vPrqq3jzzTfxyy+/ICYmBt27d0d6utzGd5cbzIuGqoaQJeMqpMsnHJ5kF3TQ7/qLgNbZDS+sotfZE61zHnSOkH9MnmyUkC5atMiv9wshMGvWLDz99NO48cYbAQD/93//h4oVK2LJkiW4/fbbfX4uIyMDGRlud3pqajG6ZwYN3g6bw3K7Ei/QOcIW9Bh0UXCQTg4OYYPdxrnkKTFiIw+0fZoi1cAhghz+KAIq7htBDzMVARXXeeeJNBzddQId6yUSt5I/yniEAmX//v04evQounbt6notISEBrVu3xrp1vssOAeC5555DQkKC66datWpWqCuVuKjwwt9URBywoXysfPllqDrbUT5GvvyyMZHSZXpSJlq+/PKx4dQTWnyUfJ0rxIZTLxxxkfL3jfKxEVSdw0JDEBkm9/TNXmebPQSxkXLvvdk6O2BDOcnnjnIx3GPQATsqxEZIlRkbEYoQO89cOH0xG3+fsWZUiC9KrCF09OhRAEDFihVNr1esWNH1f74YN24czp075/o5fPgwVU8Gj/VsSJNdJiYSg9qkSJc7tkcD6TKd2ENC8FDXutLlPtKdpzMAPN27iXSZj3ZvADvRO/ZYz0bSZf77mhpIiJZ7Yvfk8esbS5d5S/OqqF7ed3mzDEZ1rY+I0BCpMq+pWR5XVisrVaYn/25TE/GRcgcT10mKQ+cGFQt/YxG5vmlVVCuXf1uOopBcJgq3tPCzOWURaF2rAtrUKi9VZkxEKO7qUEeqTE9qJsWhVc1yNPmFEVRD6IknnoDNZivwZ8eOIrQdLwYRERGIj483/ahG5YQomuzoiHBEhsk9AQNAhViedyUkJBRxkk/AAFAmmufFAoAKcfK/x4SoMNgQ4KiVAEiMl3vRAIDIsBBEhfGi+FXKyjdYwkPt1P2jajn5OtvtNlSI4x2HVQg6A0Al4vkuuayfHcADpEoZ+ceJk0plYmG3y7/ZqVKWt86VysSgThLvxqEwgpojNHbsWAwZMqTA99SqVatIsitVqgQAOHbsGCpXrux6/dixY2jWrFmRZKoDM6lNvhGUK5gkFwV3li0O7LwjO2utibDc58y1piVq6uPQLJqkM3PfYB2DVJ1VPAaDe64LqiGUmJiIxEROclTNmjVRqVIlrFy50mX4pKam4pdffgmo8kxJmBn4LNlMnX2N3JABu9IhyJUURYK2f6h4sVPxOGRe7EiylVxnrbNlsv1AmTPtoUOHsHnzZhw6dAg5OTnYvHkzNm/ejAsX3N01GzRogM8+M2Yg2Ww2PPzww3jmmWfwxRdfYMuWLRg0aBCSk5PRt2/fIP0VFuHPCScyAWh2p9Fttds0IKEa0LR/4Z8L1h2SLcQY/9ByGFCuttE2P74KcNW/C5ftR4O6ouHnif3qu4yRGr1eNnRuMcRP8UG8S2o5zBip0WuGofvVdxmvFzASBEBwdW4+yFjfntOB8nWBFkONfaawk2wwPRVXDjDW+V9TgEpNgaa35z+GwJNgeioa32SMiun4uNF9vE5Xo8N0YdA8nH7oXLc7kNgAaHW3MYal6tXGT6Gig6hzjXZGB+/GNxnHY2JDoHYXP0QHUeekxkCtzkDNa4EOY4FytYAGNxT+uSB7v5Upn58wYQLeeecd1+9XXXUVAOCHH35Ap06dAAA7d+7EuXPurqGPPfYYLl68iJEjR+Ls2bNo3749li1bhshIbrVP8Clkh73zv0BMeSD5KvdrbUcBjhz3TvvRwHxEB+kgG/ylcZKu0db9WqsRRtirQW8gIg5YdL3vz/rREblIFHbRGPE9kHYGqOuuXMTVw43HRjcarejfujb/zwfj5DD8O+DCUWM/uCH373MaQU36GfPcgqGzowBj9o6PgIzzxgXDuf3WuRPIWwwBsjOAD/8NXDzu+/M0L0gBcnvNAMLjgMZ9gdDcRPB2DxmPJ3YZ4x9WTASO/pGP6CAch+1HAxXqAw1vMI43T879ZQwC3fiOMbPQp+ggGG9N+gF1ugD1egDReZJxL540utTv/hbY9B/fn6cZnAX8X7VrgJZDDWMiPtn8f+mpxgy6I7/nPyMtGEZybCWgx7NA5WZA+dru17tMMIbx7lxqDHT+9ql8ZOs+Qn6xaNGiQnsIiTy5IDabDVOmTMGUKVOIml2G5LfDXnGrcddcM58LmT0EaNTHmCLc+l4gIhb48UWenp7kp/OVA4yLckq7/D9Xv4dhEHV83Lhg/vQST0/zxn2/3GKocbdZpUX+H619nfHY/Vmjjf6vb/sQb+HJod1DxnygagXcJddoYzzeONsYC7HpXe/3sC52vsKbbR80hjrW7Zb//pPczHi8YSaw/Uvgj8Xe77HywtH6XsMwbz7EGP7pi8R6xo89DPhtAfD3b8ZgU0+s1LnFEOP4uvZRIDyf5OGEqu6f0AhjqOn+/5nfY6VHqOntxvHTbaoxUNoXMRWMG5JKTQ1DOjwO2JzHILIyfyylgzFA+rqngbI1fH8sMt4w+Gu0N/aJyDLAb/PziLZwnROqAdVaG96fivlUjIZFAk1uNtb42J/GANyf3zC/R3uENNLxdfCGRgK3zPPv8yGhQM/nDYMoryFEy7fJ50J205v+f77zk8Zzqwyh/E6SvWf5L6PN/cajT0PIwiaQ/wrgZuGqO40fn4YQ6cLha7/rOsn/E2jDG4yfHV97DwileSp8rEWHMUBskn+fr9nB+FnYy9sQsjLfpuVwoHJT/z5fuSlw2/8B3zzhbQhZmbvSuC9Qv6d/ny9X09B58wfWGUK+5Ka0Bzo94d/nYxOBfguA/T/5MIQs1LnylUC/+d6v+yIiDrhpjuHxzGsI6RwhjXx8nCRDixAO9HXHGux8m8sJBbtVS8XXyYsWGvNhCBVlWwlV5MjxCx/7R1QR+vRE+/iMlXf90UXoSRPuozzcytBYUc53Vu7PsnQO87HOl7vOecOqQNCrxrQhVBLxtcP2nVM0WSkdgHCP/g4F5WoUB18635BPDLwwmvQzQiZ0fOjc0c87urxcc79veWxsdiOUVxS6TvItj4HnfmcPA+rnkw9WGO0e9n6NpXPe3LTk5kBIEfpZtRgCr33DqotdQnUjXBMoDXsb35MnVhmcUWULDkvnR/VrgLA8oT+rDM7QKCN1IVAq1AGi8uQ+WRXOs9mNvLFAiUk0CjA8CXJoTBtCJRKPHbbVSODRvUCDIl447vwEGL3V/TvLEPLUuWEfQ+eiXqBvehMYu1OOWgXhedFIamTo7K9rOy/dngEe2W2cJKzkkT1GNVtRaPsgMHaXuZLFCo/QI7uA/vkktxZGswGGzp77lhV5TaP/BIYtL5qcOl2NfePax9yvWXGBHrkKGLW+aH1pkq8yvqfrPcLUVpT83/lfY60ji9AIt2wNYMyfQL+F7tesMDhvegt4ZKdvb2VhRCYAD/0ODP7K/ZoVOnebZpzvKhWh+31IKHDvOuC+Xzxk6xwhjWw8Tzj2sPyTBf0hLNL4cWJFT56QYuocEuZdIcLAtM4hxdPZbjfi/oWVp8smphit+G02IK6i+cRrRY5Qcb/buIruSi2A14DOpHMFILQYXsrYRPNxaEUeSFRZ8zYDJbqcOXRjhSEUGZ9/Qrc/RJUFIjyMKCvWOSzaMGiKSmS8+fNW6BwaUbzjMCLW/HmdI6SRjqcHsyiu+IJg5Qh5nswsCWvJwENnWQaMlXdGDJ2trBorDp7HhRXGm4zj0PO4sOKuX8ZxaIXOnsehlHW2YN8AcZ2t8BZK0dnzu2KOoS0cbQiVSCSfGDyxIjRmtVekqHheNPLmQxQV4oRn721JWmfPC5wqY0GsuHCY8pokbMPqi52MfdpkVFhgvEnR2WqDU8Jx6LnOlugseZ1p1xX/0IZQSSRvaEwmVoXGVCBvaEwGVhqBDENIlbEgVlzsqF4sUmK9p8dXygXa03izIGQj+wJthc6yjTcrQpCydWZdV/xEkbOWJiBkW+6eWNGlWZXQmE3x0JisbXn+7coYQhaHxmRgtfGmQ2PqhJk8c94sCedJWGfP8watLYt/KHLW0gSEp7UuPTRGstztVpx8FMBKj5Asp4IpR0iR3koq7m+WhMY8kB4aI11uTGEhRUJjnt422cabIOXbhEi+rnieK7RHSCMdU0WMIjlCpoqa4CbOFQlZJx8rc2yk6axITpcnVudUyEBF74rpXMQyKjzWRYrOFhicIZ7rIjkEyfKuhDCvK6RIg59oQ6gkItty94RluZsOZAUNIVnGm5WhJVnrrEo4zBNPnYMxdLUoWJ0HImNdrPAIeRpY0iuwWF6scN/PZcijnaMVvK74iYJnME2hyL5D8oR10QjRHiHrUVFnAp53ujJheoRoeXRMnVnr7Jl4LNm7UpzeTwURKvkcbfq7SedoT++eKtcVP9GGUEmEekfDGvboIVcbFdag5DoTCCVdoKUbFR4XH5bOVOONVQ2qYLK0KcwpwXiT7cnzhUln2d+lNoQ0sjGFmWTHXi24eLIq05hI09lC40TFdWagSo6Q5wVTGY+QZzjFgmpQ2cnSrOORaSBakiwtOy9QN1TUyEb23YbVqNJHyBPpd0gWoOI6q4TsvAdmWwwnzJJ/liHE7H3EwvO79DVB/nLEM7SZdzit4mhDqCQiu5zUapQ03hTUWcV1VglmAijrYu3IkisvhJhX4iRH8jpbcVx4Vt8WZzaalXh+f+GKGG9+og2hkojn3UZEnFzZ0cUYLOr3NooxCNQTK++04oswOdoXocUYchko5WrKkWNFyX9E7lDJ8Fj+tmQRW1GuPE/DirWfRJWVK88zR5F1wZd9UfY8f7J0ll3p5onsc74TTz1lH4eRZeTKCxBtCJVUWt0NpHQAanWUI+/Wd4CyKcCAD+TI80Xnp4Dkq4Dmg+TIu+NDoEwN4N//lSPPF71eBpIaAZ3GyZF3w0ygbE3g5nly5Pnitv8DytcB+rwmR961jxryerwgR54vBnwAlKsFDFgsR96Vtxvf27WPypHnixtmAeXrArcukiOvehugSkugxRBeQmzHx4GkxkCvGXLkRZcD6nYD6vcCYhLlyMxLszuAKi2ATk9KlPlvY71TOsiT6UmN9obsViPlfZftRwMVmwAth8qRl5f4ZKDBDUDjm+UZzN2mGeeOrpPkyCsiNiF06UhBpKamIiEhAefOnUN8fHyw1dFoNBqNRuMH/l6/tUdIo9FoNBpNqUUbQhqNRqPRaEot2hDSaDQajUZTatGGkEaj0Wg0mlKLNoQ0Go1Go9GUWrQhpNFoNBqNptSiDSGNRqPRaDSlFm0IaTQajUajKbVoQ0ij0Wg0Gk2pRRtCGo1Go9FoSi3aENJoNBqNRlNq0YaQRqPRaDSaUos2hDQajUaj0ZRatCGk0Wg0Go2m1BIabAUud4QQAIDU1NQga6LRaDQajcZfnNdt53U8P7QhVAjnz58HAFSrVi3Immg0Go1GowmU8+fPIyEhId//t4nCTKVSjsPhwD///IO4uDjYbDZpclNTU1GtWjUcPnwY8fHx0uRqvNFrbQ16na1Br7M16HW2BuY6CyFw/vx5JCcnw27PPxNIe4QKwW63o2rVqjT58fHx+iCzCL3W1qDX2Rr0OluDXmdrYK1zQZ4gJzpZWqPRaDQaTalFG0IajUaj0WhKLdoQChIRERGYOHEiIiIigq1KiUevtTXodbYGvc7WoNfZGi6HddbJ0hqNRqPRaEot2iOk0Wg0Go2m1KINIY1Go9FoNKUWbQhpNBqNRqMptWhDSKPRaDQaTalFG0JE3njjDaSkpCAyMhKtW7fGr7/+WuD7P/74YzRo0ACRkZG44oorsHTpUos0VZ9A1nru3Lno0KEDypYti7Jly6Jr166Ffjcag0D3aSeLFy+GzWZD3759uQqWEAJd57Nnz+L+++9H5cqVERERgXr16unzhx8Eus6zZs1C/fr1ERUVhWrVqmH06NFIT0+3SFs1+fHHH9G7d28kJyfDZrNhyZIlhX5m1apVaN68OSIiIlCnTh0sWrSIq6TQUFi8eLEIDw8XCxYsEH/++acYMWKEKFOmjDh27JjP969Zs0aEhISI6dOni23btomnn35ahIWFiS1btlisuXoEutZ33HGHeOONN8SmTZvE9u3bxZAhQ0RCQoL466+/LNZcLQJdZyf79+8XVapUER06dBA33nijNcoqTKDrnJGRIVq2bCmuv/56sXr1arF//36xatUqsXnzZos1V4tA1/m9994TERER4r333hP79+8Xy5cvF5UrVxajR4+2WHO1WLp0qXjqqafEp59+KgCIzz77rMD379u3T0RHR4sxY8aIbdu2iddee02EhISIZcuW0XTUhhCJVq1aifvvv9/1e05OjkhOThbPPfecz/ffdtttolevXqbXWrduLe6++26qniWBQNc6L9nZ2SIuLk688847LBVLBEVZ5+zsbNG2bVsxb948MXjwYG0I+UGg6zxnzhxRq1YtkZmZaZWKJYJA1/n+++8X1113nem1MWPGiHbt2lH1LEn4Ywg99thjonHjxqbX+vfvL7p3707TS4fGCGRmZmLDhg3o2rWr6zW73Y6uXbti3bp1Pj+zbt060/sBoHv37vm+X2NQlLXOS1paGrKyslCuXDmWmspT1HWeMmUKkpKSMHz4cCvUVJ6irPMXX3yBNm3a4P7770fFihXRpEkTPPvss8jJybFKbeUoyjq3bdsWGzZscIXP9u3bh6VLl+L666+3ROfSQjCuhXroKoGTJ08iJycHFStWNL1esWJF7Nixw+dnjh496vP9R48epelZEijKWufl8ccfR3JystfBp3FTlHVevXo15s+fj82bN1ugYcmgKOu8b98+fP/997jzzjuxdOlS7NmzB/fddx+ysrIwceJEK9RWjqKs8x133IGTJ0+iffv2EEIgOzsb99xzD5588kkrVC415HctTE1NxaVLlxAVFSV9m9ojpCnVPP/881i8eDE+++wzREZGBludEsP58+cxcOBAzJ07FxUqVAi2OiUah8OBpKQkvP3222jRogX69++Pp556Cm+++WawVStRrFq1Cs8++yxmz56NjRs34tNPP8XXX3+NqVOnBls1TTHRHiECFSpUQEhICI4dO2Z6/dixY6hUqZLPz1SqVCmg92sMirLWTl566SU8//zz+O6779C0aVOmmsoT6Drv3bsXBw4cQO/evV2vORwOAEBoaCh27tyJ2rVrc5VWkKLsz5UrV0ZYWBhCQkJcrzVs2BBHjx5FZmYmwsPDqTqrSFHWefz48Rg4cCDuuusuAMAVV1yBixcvYuTIkXjqqadgt2u/ggzyuxbGx8dTvEGA9ghRCA8PR4sWLbBy5UrXaw6HAytXrkSbNm18fqZNmzam9wPAihUr8n2/xqAoaw0A06dPx9SpU7Fs2TK0bNnSClWVJtB1btCgAbZs2YLNmze7fvr06YPOnTtj8+bNqFatmpXqK0NR9ud27dphz549LkMTAHbt2oXKlStrIygfirLOaWlpXsaO0/gUemSnNIJyLaSlYZdyFi9eLCIiIsSiRYvEtm3bxMiRI0WZMmXE0aNHhRBCDBw4UDzxxBOu969Zs0aEhoaKl156SWzfvl1MnDhRl8/7SaBr/fzzz4vw8HDxySefiCNHjrh+zp8/H6w/QQkCXee86Kox/wh0nQ8dOiTi4uLEqFGjxM6dO8VXX30lkpKSxDPPPBOsP0EJAl3niRMniri4OPHBBx+Iffv2iW+//VbUrl1b3HbbbcH6E5Tg/PnzYtOmTWLTpk0CgHj55ZfFpk2bxMGDB4UQQjzxxBNi4MCBrvc7y+cfffRRsX37dvHGG2/o8nmVee2110T16tVFeHi4aNWqlfj5559d/9exY0cxePBg0/s/+ugjUa9ePREeHi4aN24svv76a4s1VpdA1rpGjRoCgNfPxIkTrVdcMQLdpz3RhpD/BLrOa9euFa1btxYRERGiVq1aYtq0aSI7O9tirdUjkHXOysoSkyZNErVr1xaRkZGiWrVq4r777hNnzpyxXnGF+OGHH3yeb51rO3jwYNGxY0evzzRr1kyEh4eLWrVqiYULF1J1tAmhfXoajUaj0WhKJzpHSKPRaDQaTalFG0IajUaj0WhKLdoQ0mg0Go1GU2rRhpBGo9FoNJpSizaENBqNRqPRlFq0IaTRaDQajabUog0hjUaj0Wg0pRZtCGk0Go1Goym1aENIo9FoJDB+/HiMHDnSr/c+8cQTeOCBB8gaaTQaf9CdpTUaTdCw2WwF/v/EiRMxadIka5QpBkePHkW9evWwZcsW1KhRo9D3nzx5ErVq1cLmzZtRq1YtCzTUaDT5oT1CGo0maBw5csT1M2vWLMTHx5tee+SRR4Ktol/MmzcPbdu29csIAoAKFSqge/fumDNnDlkzjUZTGNoQ0mg0QaNSpUqun4SEBNhsNtNrixcvRsOGDREZGYkGDRpg9uzZrs8eOHAANpsNH330ETp06ICoqChcffXV2LVrF9avX4+WLVsiNjYWPXv2xIkTJ1yfGzJkCPr27YvJkycjMTER8fHxuOeee5CZmel6zyeffIIrrrgCUVFRKF++PLp27YqLFy/m+3csXrwYvXv3Nr1WmIzevXtj8eLFMpZRo9EUg9BgK6DRaDS+eO+99zBhwgS8/vrruOqqq7Bp0yaMGDECMTExGDx4sOt9EydOxKxZs1C9enUMGzYMd9xxB+Li4vDKK68gOjoat912GyZMmGDyvqxcuRKRkZFYtWoVDhw4gKFDh6J8+fKYNm0ajhw5ggEDBmD69Om46aabcP78efz000/IL4vg9OnT2LZtG1q2bOl6zR8ZrVq1wl9//YUDBw4gJSVF/gJqNBr/oM6212g0Gj9ZuHChSEhIcP1eu3Zt8f7775veM3XqVNGmTRshhBD79+8XAMS8efNc///BBx8IAGLlypWu15577jlRv3591++DBw8W5cqVExcvXnS9NmfOHBEbGytycnLEhg0bBABx4MABv/TetGmTACAOHTrkes0fGefOnRMAxKpVq/zajkaj4aBDYxqN5rLj4sWL2Lt3L4YPH47Y2FjXzzPPPIO9e/ea3tu0aVPX84oVKwIArrjiCtNrx48fN33myiuvRHR0tOv3Nm3a4MKFCzh8+DCuvPJKdOnSBVdccQVuvfVWzJ07F2fOnMlX10uXLgEAIiMjTfILkxEVFQUASEtL82tNNBoNB20IaTSay44LFy4AAObOnYvNmze7frZu3Yqff/7Z9N6wsDDXc2cVWt7XHA6H39sOCQnBihUr8M0336BRo0Z47bXXUL9+fezfv9/n+ytUqAAAJkPHHxmnT58GACQmJvqtm0ajkY82hDQazWVHxYoVkZycjH379qFOnTqmn5o1axZb/u+//+7y5ADAzz//jNjYWFSrVg2AYTy1a9cOkydPxqZNmxAeHo7PPvvMp6zatWsjPj4e27ZtM71emIytW7ciLCwMjRs3Lvbfo9Foio5OltZoNJclkydPxoMPPoiEhAT06NEDGRkZ+O2333DmzBmMGTOmWLIzMzMxfPhwPP300zhw4AAmTpyIUaNGwW6345dffsHKlSvRrVs3JCUl4ZdffsGJEyfQsGFDn7Lsdju6du2K1atXo2/fvgDgl4yffvrJVe2m0WiChzaENBrNZcldd92F6OhovPjii3j00UcRExODK664Ag8//HCxZXfp0gV169bFtddei4yMDAwYMMDVuDE+Ph4//vgjZs2ahdTUVNSoUQMzZsxAz549C9R1xIgRmD59Oux2u18yFi9erESzSI2mpKM7S2s0mlLFkCFDcPbsWSxZskSaTCEEWrdujdGjR2PAgAGFvv+bb77B2LFj8ccffyA0VN+PajTBROcIaTQaTTGx2Wx4++23kZ2d7df7L168iIULF2ojSKO5DNBHoUaj0UigWbNmaNasmV/v7devH1cZjUbjNzo0ptFoNBqNptSiQ2MajUaj0WhKLdoQ0mg0Go1GU2rRhpBGo9FoNJpSizaENBqNRqPRlFq0IaTRaDQajabUog0hjUaj0Wg0pRZtCGk0Go1Goym1aENIo9FoNBpNqeX/AY8NKOZVr4HeAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# A COMPLETER\n",
    "# Transformée de Fourier réelle inverse du signal C(f) et affichage du signal temporel c(t)\n",
    "c_reconstructed = np.fft.irfft(C_with_K_largest) # Transformée de Fourier réelle inverse du signal C(f)\n",
    "\n",
    "plt.figure()\n",
    "plt.plot(t, c, label=\"c(t) original\")\n",
    "plt.plot(t, c_reconstructed, label=\"c(t) reconstruit\")\n",
    "plt.title(\"Signal temporel c(t) reconstruit à partir de C(f)\")\n",
    "plt.xlabel(\"Temps (s)\")\n",
    "plt.ylabel(\"Amplitude\")\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6f7b9051",
   "metadata": {},
   "source": [
    "Afin de mesurer la ressemblance entre le signal original et le signal compressé, on va calculer le **rapport signal sur bruit**. Pour rappel, cette métrique indique la puissance du signal par rapport à la puissance de son bruit. Plus le rapport est grand, plus le signal est puissant par rapport à son bruit, et donc plus le bruit est faible. Pour cela, nous allons utiliser la formule suivante :\n",
    "\n",
    "\\begin{equation*}\n",
    "    R_{S/B} = 10*log_{10}(\\frac{\\sum s[n]²}{\\sum(b[n])²})\n",
    "\\end{equation*}\n",
    "\n",
    "Ici, $s$ correspond au signal et $b$ le bruit. La mesure se calcule en décibels (dB), afin d'utiliser une échelle logarithmique plus lisible :\n",
    "- *0 dB* : Le signal et l'erreur ont la même puissance, donc le bruit prédomine sur le signal\n",
    "- *> 10 dB* : Le signal domine clairement le bruit\n",
    "- *20-30 dB* : On a une bonne qualité de reconstruction\n",
    "- *40 dB* : Le signal bruité est quasi indiscernable de l'original.\n",
    "\n",
    "Le calcul n'est pas compliqué, mais pour être sûr que le calcul soit correct (et parce qu'il y a quelques légères subtilités dans le calcul), vous pouvez utiliser la fonction suivante"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "cd19c0b0",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Fonction de calcul du rapport S/B\n",
    "def rapport_sb(signal,bruit):\n",
    "    return 10 * np.log10(np.sum(signal.astype(float)**2) / np.sum(bruit.astype(float)**2))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "906c7930",
   "metadata": {},
   "source": [
    "*\"Ok, mais ici, c'est quoi le bruit ?\"*\n",
    "\n",
    "Ici, on va considérer le bruit comme étant la différence entre le signal original et le signal compressé. De ce fait, plus le rapport est grand, plus la puissance du signal est grande par rapport à la puissance de la différence entre les deux signaux, et donc plus le signal compressé est proche du signal original.\n",
    "\n",
    "Calculez et affichez le rapport signal sur bruit entre le signal original et le signal compressé"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "909c6e0c",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Rapport S/B entre le signal original et le signal reconstruit, K=10 : 16.93 dB\n"
     ]
    }
   ],
   "source": [
    "# A COMPLETER\n",
    "# Calcul du rapport S/B entre le signal original et le signal reconstruit\n",
    "snr = rapport_sb(c, c - c_reconstructed)\n",
    "print(f\"Rapport S/B entre le signal original et le signal reconstruit, K=10 : {snr:.2f} dB\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "39f90356",
   "metadata": {},
   "source": [
    "Répétez les mêmes opérations pour avoir sur la même figure le signal original et plusieurs versions compressées du signal ($K = 1, 5, 20, 100$). Calculez et affichez également le rapport signal sur bruit pour chacune des versions compressées du signal"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "75f43b1a",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Rapport S/B entre le signal original et le signal reconstruit, K=1 : 7.23 dB\n",
      "Rapport S/B entre le signal original et le signal reconstruit, K=5 : 13.93 dB\n",
      "Rapport S/B entre le signal original et le signal reconstruit, K=20 : 19.90 dB\n",
      "Rapport S/B entre le signal original et le signal reconstruit, K=100 : 25.94 dB\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# A COMPLETER\n",
    "# Affichage du signal original et de ses versions compressées, et calcul du rapport S/B pour différentes valeurs de K\n",
    "plt.figure(figsize=(15,5))\n",
    "plt.plot(t,c,label='original')\n",
    "K_valeurs = [1,5,20,100]\n",
    "for K in K_valeurs:\n",
    "    C_K = get_K_main_components(C,K)\n",
    "    c_K = np.fft.irfft(C_K)\n",
    "    plt.plot(t,c_K, label=f'K={K}')\n",
    "    print(f\"Rapport S/B entre le signal original et le signal reconstruit, K={K} : {rapport_sb(c, c - c_K):.2f} dB\")\n",
    "plt.title(\"Signal carré compressé\")\n",
    "plt.xlabel(\"Temps (s)\")\n",
    "plt.ylabel(\"Intensité\")\n",
    "plt.legend()\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ca8ad74b",
   "metadata": {},
   "source": [
    "**_QUESTION :_** A partir de combien de composantes $K$ a-t-on une compression indiscernable du signal original ?\n",
    "\n",
    "*La première question est de savoir ce qu'on considère comme indiscernable*"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "9160cd3c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Dans un premier temps, on peut reprendre le calcul du rapport S/B et regarder le résultat à certains seuils.\n",
    "# Par définition, on considère à 40 dB que le signal compressé est indiscernable de l'original.\n",
    "# Pour notre recherche, on va reprendre le même principe que précédemment, mais en faisant varier K par puissances de 2, afin de voir l'évolution du rapport S/B en fonction de K.\n",
    "\n",
    "# Compression du signal avec K variant en puissances de 2\n",
    "N = len(freq_C) # Nombre d'échantillons de fréquences\n",
    "K_values = []\n",
    "RSB_values = []\n",
    "c_K_values = []\n",
    "for i in range(N.bit_length()): # On itère de i=0 à i= N.bit_length()-1, donc jusqu'à la dernière puissance de 2 inférieure à N (2**i)\n",
    "    K = 2**i\n",
    "    C_K = get_K_main_components(C,K) # On ne garde que les K fréquences les plus significatives\n",
    "    c_K = np.fft.irfft(C_K) # On convertit en temporel\n",
    "    K_values.append(K)\n",
    "    c_K_values.append(c_K)\n",
    "    RSB_values.append(rapport_sb(c,c-c_K))\n",
    "\n",
    "# Affichage du rapport S/B en fonction de K\n",
    "fig, ax = plt.subplots()\n",
    "ax.set_xscale('log', base=2)\n",
    "plt.plot(K_values,RSB_values)\n",
    "plt.title(\"Rapport S/B du signal audio compressé par rapport à l'original\")\n",
    "plt.xlabel(\"K\")\n",
    "plt.ylabel(\"RSB\")\n",
    "ax.grid()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "8dc9053a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# On voit ici que le rapport S/B atteint 40 dB pour K = 2^12 = 4096. Cependant, on a conclut précédemment que le signal avait 1703 composantes significatives. \n",
    "# On va donc regarder les signaux à différents seuils de rapports obtenus (20, 30, 40 dB) et tracer les signaux reconstruits.\n",
    "\n",
    "plt.figure(figsize=(15,5))\n",
    "plt.plot(t,c,label='original')\n",
    "for threshold in [20, 30, 40]:\n",
    "    # On récupère l'indice du premier K pour lequel le rapport S/B dépasse le seuil\n",
    "    idx = next(i for i, v in enumerate(RSB_values) if v >= threshold)\n",
    "    K = K_values[idx]\n",
    "    c_K = c_K_values[idx]\n",
    "    plt.plot(t,c_K,label=f'K={K}, RSB={RSB_values[idx]:.2f} dB')\n",
    "plt.title(f\"Signal carré compressé pour différents seuils de rapport S/B\")\n",
    "plt.xlabel(\"Temps (s)\")\n",
    "plt.ylabel(\"Intensité\")\n",
    "plt.legend()\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "aa91270c",
   "metadata": {},
   "source": [
    "**_REPONSE :_** La question n'est pas simple, car la définition de \"reconstruction indiscernable\" est subjective. On voit ici qu'à différents seuils de rapport S/B calculés (20, 30 et 40 dB), les signaux peuvent rentrer plus ou moins dans cette définition.\n",
    "La meilleure reconstruction est évidemment pour $K=4096$, mais sachant que la transformée de Fourier réelle se calcule sur $5001$ fréquences uniques, c'est une compression très légère (seulement 20% des composantes mises à zéro). De ce fait, la réponse dépend fortement de ce qu'on cherche: une compression efficace, une reconstruction fidèle ou un compromis entre les deux ?"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "44409db4",
   "metadata": {},
   "source": [
    "---\n",
    "\n",
    "## Exercice 3 : Mon audio est beaucoup trop lourd...\n",
    "\n",
    "J'ai trop peu d'espace sur mon ordi, au point de ne plus avoir la place pour mon nouveau son. Vous pouvez m'aider ?"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "bbce03f4",
   "metadata": {},
   "source": [
    "Chargez l'audio *music.wav* et tracez le signal."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "5e504ba2",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\Robin\\AppData\\Local\\Temp\\ipykernel_6904\\2792988540.py:5: WavFileWarning: Chunk (non-data) not understood, skipping it.\n",
      "  freq_music, music = wavfile.read('music.wav')\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Fréquence d'échantillonnage : 44100 Hz\n"
     ]
    }
   ],
   "source": [
    "# A COMPLETER\n",
    "# Chargement et affichage de music.wav\n",
    "\n",
    "from scipy.io import wavfile\n",
    "freq_music, music = wavfile.read('music.wav')\n",
    "\n",
    "t = np.arange(0, len(music)/freq_music, 1/freq_music)\n",
    "plt.figure()\n",
    "plt.plot(t,music)\n",
    "plt.title(\"Audio\")\n",
    "plt.show()\n",
    "\n",
    "print(f\"Fréquence d'échantillonnage : {freq_music} Hz\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "bc4ee931",
   "metadata": {},
   "source": [
    "Effectuez une transformée de Fourier réelle sur le signal audio et affichez le spectre d'amplitude du résultat obtenu.\n",
    "\n",
    "*Bien évidemment, je vous invite à faire de même sur la plateforme web, afin de vérifier que vous avez **_le même résultat_***"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "af6fea4c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# A COMPLETER\n",
    "# Calcul de la transformée de Fourier réelle du signal music.wav et affichage du spectre d'amplitude\n",
    "\n",
    "N = len(music) # Nombre d'échantillons de fréquences\n",
    "T = len(music)/freq_music # Durée du signal\n",
    "\n",
    "M = np.fft.rfft(music) # Calcul de la FFT réelle du signal\n",
    "freq_M = np.fft.rfftfreq(N,1/freq_music) # Calcul de l'axe fréquentiel de la FFT\n",
    "\n",
    "amplitude_M = np.abs(M) / (T * freq_music) # Correction de l'amplitude avec le facteur de normalisation\n",
    "if N%2 == 0:\n",
    "    amplitude_M[1:-1] *= 2 # Si le nombre d'échantillons est pair, on multiplie par 2 les amplitudes sauf la première et la dernière\n",
    "else:\n",
    "    amplitude_M[1:] *= 2 # Si le nombre d'échantillons est impair, on multiplie par 2 les amplitudes sauf la première\n",
    "\n",
    "# Affichage du spectre d'amplitude de M(f)\n",
    "plt.plot(freq_M, amplitude_M)\n",
    "plt.title(\"Amplitude de M(f)\")\n",
    "plt.xlabel(\"Fréquences (Hz)\")\n",
    "plt.ylabel(\"Amplitude\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ea6f31e2",
   "metadata": {},
   "source": [
    "Comme vous vous en doûtez, on va ici compresser le signal en gardant les $K$ composantes les plus importantes. Au lieu de tester toutes les valeurs de $K$, on va uniquement sélectionner les valeurs tel que le rapport S/B entre le signal original et le signal compressé reconstruit est à 10, 20, 30 et 40 dB. On pourra ensuite exporter les audios et écouter le résultat obtenu.\n",
    "\n",
    "Pour vous aider dans ce processus, il faut déterminer les valeurs de $K$ permettant d'obtenir approximativement ce rapport S/B. Pour cela, partez avec $K$ comme étant des puissances de 2, afin de considérablement réduire le champ des possibles. Avec ces valeurs de $K$, effectuez la compression, reconstruisez le signal temporel et calculez les rapports S/B. Enfin, vous aurez juste à prendre les signaux reconstruits dont le rapport S/B est supérieur et le plus proche des différents seuils visés (10, 20, 30 et 40 dB).\n",
    "\n",
    "*Pour l'enregistrement d'un audio, utilisez la fonction wavfile.write (dans le package scipy.io), en modifiant le type de données de votre signal audio :*\n",
    "\n",
    "`wavfile.write(\"mon_audio.wav\", frequence_echantillonnage_music, signal_music.astype(np.int16))`\n",
    "\n",
    "*Avec `frequence_echantillonnage_music` la fréquence d'échantillonnage du signal, et `signal_music` le signal audio temporel (vecteur NumPy)*"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "f391b40e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# A COMPLETER\n",
    "# Compression du signal audio tel que le rapport S/B soit supérieur à 10/20/30/40 dB\n",
    "\n",
    "# Compression du signal audio avec K variant en puissances de 2 et affichage du rapport S/B en fonction de K\n",
    "k_max = N.bit_length()-1  # La plus grande puissance de 2 inférieure à N\n",
    "K_values = [2**i for i in range(1, k_max)]  # Puissances de 2\n",
    "RSB_values = []\n",
    "m_k_values = []\n",
    "for K in K_values:\n",
    "    M_K = get_K_main_components(M,K) # On ne garde que les K fréquences les plus significatives\n",
    "    m_K = np.fft.irfft(M_K, n=len(music)) # On convertit en temporel\n",
    "    RSB_values.append(rapport_sb(music,music-m_K))\n",
    "    m_k_values.append(m_K)\n",
    "\n",
    "# Affichage du rapport S/B en fonction de K\n",
    "fig, ax = plt.subplots()\n",
    "ax.set_xscale('log', base=2)\n",
    "plt.plot(K_values,RSB_values)\n",
    "plt.title(\"Rapport S/B du signal audio compressé par rapport à l'original\")\n",
    "plt.xlabel(\"K\")\n",
    "plt.ylabel(\"RSB\")\n",
    "ax.grid()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "983a272a",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "K pour seuil de 10 dB : 1024 (0.12592739252822605% des fréquences de l'audio)\n",
      "K pour seuil de 20 dB : 65536 (8.059353121806467% des fréquences de l'audio)\n",
      "K pour seuil de 30 dB : 262144 (32.23741248722587% des fréquences de l'audio)\n",
      "K pour seuil de 40 dB : 262144 (32.23741248722587% des fréquences de l'audio)\n"
     ]
    }
   ],
   "source": [
    "# Récupération des K minimums tels que le rapport S/B est supérieur ou égal à 10, 20, 30 et 40 dB\n",
    "seuils = [10,20,30,40] # Les seuils à atteindre en dB\n",
    "for seuil in seuils:\n",
    "    # On cherche la valeur de K minimum dont le rapport S/B dépasse le seuil\n",
    "    for i in range(len(K_values)):\n",
    "        if RSB_values[i]>seuil:\n",
    "            K = 2**i\n",
    "            print(f\"K pour seuil de {seuil} dB : {K} ({K/len(freq_M)*100}% des fréquences de l'audio)\")\n",
    "            break # On arrête la boucle car on a trouvé la valeur K\n",
    "        if i==len(K_values)-1: # Aucune valeur de K n'a un rapport S/B supérieur à notre seuil : on prned K = N\n",
    "            K = len(freq_M)\n",
    "    wavfile.write(f\"music_compressed_{seuil}_dB.wav\", freq_music, m_k_values[K_values.index(K)].astype(np.int16))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b2d24dba",
   "metadata": {},
   "source": [
    "**_QUESTION :_** Comment est la qualité sonore des différents extraits compressés ?"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "578ffac2",
   "metadata": {},
   "source": [
    "**_REPONSE :_**\n",
    "- Pour la compression avec un rapport *S/B* à 10 dB, la musique n'est pas reconnaissable du tout\n",
    "- Pour la compression avec un rapport *S/B* à 20 dB, on reconnaît la musique, mais avec un fort bruit tout au long de l'extrait\n",
    "- Pour la compression avec un rapport *S/B* à 30 dB, on reconnaît également la musique, et il y a toujours un bruit durant l'extrait, mais il est plus faible\n",
    "\n",
    "Ce qui est donc intéressant, c'est qu'en ayant supprim\"er\" un bon nombre de fréquences à faibles amplitudes (36% en moins pour le 30 dB, 84% en moins pour le 20 dB), on a réussi tout de même à conserver la mélodie, ce qui montre qu'au final, un petit nombre de fréquences constitue la mélodie."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "99fee9db",
   "metadata": {},
   "source": [
    "**_QUESTION :_** Est-ce que les fichiers compressés ont un poids plus léger (en octets) ?"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "96023335",
   "metadata": {},
   "source": [
    "**_REPONSE :_** Non, et c'est normal car le format WAV enregistre les échantillons temporels bruts. Ce n'est pas un format compressé. Il y a beau avoir moins de fréquences présentes dans l'audio, ça ne change rien à la taille de l'audio (axe temporel), donc le fichier reste de même taille."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d03e7e32",
   "metadata": {},
   "source": [
    "---\n",
    "\n",
    "*Le résultat n'est pas concluant ? C'est normal !*\n",
    "\n",
    "La compression audio ne fonctionne pas exactement comme ça... Le principe reste le même : éliminer des fréquences inutiles en les mettant à zéro. Cependant, c'est fait de manière plus intelligente :\n",
    "- On supprime les fréquences audios inperceptibles par l'oreille humaine\n",
    "- On supprime les fréquences inaudibles dans le contexte (ex: un son fort à 1kHz rend inaudible un son plus faible à 1,05 kHz)\n",
    "\n",
    "Ensuite, les autres fréquences ne sont pas laissées telles qu'elles, mais elles sont quantifiées. Cela consiste à donner moins de précision sur les fréquences à faible amplitude tout en conservant une grande précision pour les fréquences à forte amplitude. De ce fait, on réduit drastiquement la taille requise pour encoder le signal audio, et donc on peut compresser efficacement un fichier.\n",
    "\n",
    "Bref, votre expérience n'a pas fonctionné, mais ça nous a permis de voir dans les grandes lignes la base de la compression MP3 !"
   ]
  }
 ],
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