{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "675b9869",
   "metadata": {},
   "source": [
    "# Traitement du Signal - TP3 : Transformée de Fourier (Partie 2)\n",
    "\n",
    "Ce TP complète ce qui a été vu dans le TP3, avec deux nouveaux exercices. Voilà... après, s'il n'y a pas plus de trucs à dire... pas besoin de faire plus long...\n",
    "\n",
    "Vous pouvez directement copier les cellules pour les mettre à la fin du TP3 précédent, ou alors juste compléter ce notebook séparément. Faites comme vous voulez"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "8b493b0e",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from matplotlib import pyplot as plt"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "312522cc",
   "metadata": {},
   "source": [
    "---\n",
    "\n",
    "## Exercice 6 : 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": 2,
   "id": "9e79555f",
   "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",
    "\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.ones_like(t) * A\n",
    "c[t%T<T/2] = -A\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": "8fca9c80",
   "metadata": {},
   "source": [
    "Effectuez maintenant une transformée de Fourier réelle sur le signal carré, et affichez le spectre d'amplitude."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "9ce830a4",
   "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) *2/len(c) # Correction de l'amplitude avec le facteur de normalisation\n",
    "\n",
    "# Affichage du spectre d'amplitude de C(f)\n",
    "plt.stem(freq_C, amplitude_C, markerfmt=\" \")\n",
    "plt.title(\"Amplitude de C(f)\")\n",
    "plt.xlabel(\"Fréquences (Hz)\")\n",
    "plt.ylabel(\"Amplitude\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a425050a",
   "metadata": {},
   "source": [
    "**_QUESTION :_** Quel est la précision spectrale ? *(c'est-à-dire l'écart entre 2 fréquences analysées après Transformée de Fourier)*"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "2488cbed",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Fréquences analysées : [0.000e+00 1.000e+00 2.000e+00 ... 4.998e+03 4.999e+03 5.000e+03]\n",
      "Précision spectrale : 1.0 Hz\n"
     ]
    }
   ],
   "source": [
    "print(f\"Fréquences analysées : {freq_C}\")\n",
    "print(f\"Précision spectrale : {freq_C[1]-freq_C[0]} Hz\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "05e111ac",
   "metadata": {},
   "source": [
    "**_REPONSE :_** La précision spectrale se définit par $\\frac{f_e}{N}$ avec $f_e$ la fréquence d'échantillonage, et $N$ le nombre de points temporels. Ici, $f_e = 10000$ Hz et $N = 10000$, donc la précision spectrale est de $1$ Hz. "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b55858fa",
   "metadata": {},
   "source": [
    "Affichez ensuite le spectre d'amplitude mais zoomé sur les 1000 premières fréquences."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "b113cb88",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Affichage du spectre d'amplitude de C(f) sur les 1000 premières fréquences\n",
    "plt.stem(freq_C[:1000], amplitude_C[:1000], markerfmt=\" \")\n",
    "plt.title(\"Amplitude de C(f) zoomé sur les 1000 premières fréquences\")\n",
    "plt.xlabel(\"Fréquences (Hz)\")\n",
    "plt.ylabel(\"Amplitude\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ee047866",
   "metadata": {},
   "source": [
    "**_QUESTION :_** Au vu du spectre d'amplitude zoomé, quelle est la fréquence fondamentale du signal ? Quelles sont les harmoniques ?\n",
    "\n",
    "*Note : Je vous conseille d'utiliser la fonction find_peaks de scipy pour détecter les pics importants de votre spectre d'amplitude*"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "9f60f1bd",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Fréquence fondamentale : 10 Hz\n",
      "Fréquences harmoniques (en Hz) : [ 30  50  70  90 110 130 150 170 190 210 230 250 270 290 310 330 350 370\n",
      " 390 410 430 450 470 490 510 530 550 570 590 610 630 650 670 690 710 730\n",
      " 750 770 790 810 830 850 870 890 910 930 950]\n"
     ]
    }
   ],
   "source": [
    "from scipy.signal import find_peaks\n",
    "\n",
    "peaks, properties = find_peaks(amplitude_C, height=np.max(amplitude_C)*0.01)\n",
    "\n",
    "print(f\"Fréquence fondamentale : {peaks[0]} Hz\")\n",
    "print(f\"Fréquences harmoniques (en Hz) : {peaks[1:]}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4e0ca4ed",
   "metadata": {},
   "source": [
    "**_REPONSE :_** Avec *find_peaks*, on détecte les différents pics de fréquences importants (avec une amplitude significative). La fréquence fondamentale est la première dont l'amplitude est significative, donc ici 10 Hz. Les harmoniques correspondent à des fréquences à amplitude significative multiples de la fondamentale ($K \\times f_0$)."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "132e08fc",
   "metadata": {},
   "source": [
    "**_QUESTION :_** Est-ce que les valeurs calculées correspondent à la théorie ? *(cf : Ex 2.2 c du TD)*"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "df7dd68f",
   "metadata": {},
   "source": [
    "**_REPONSE :_** Oui, ça correspond. La fréquence fondamentale de $10$ Hz correspond à l'inverse de la période du signal $T = 0.1 s$. La DSF du signal effectuée en TD a mené à la formule suivante : \n",
    "\n",
    "\\begin{equation*}\n",
    "    c(t) = \\frac{AT}{4} + \\sum_{n \\in \\Z} \\frac{A}{j \\pi n} (1 - (-1)^{n}) e^{j \\frac{2 \\pi}{T} nt}\n",
    "\\end{equation*}\n",
    "\n",
    "Avec cette décomposition, on a des harmoniques multiples de $\\frac{1}{T}$ (donc $f_0$) lorsque $n$ est impair, ce qui explique pourquoi il y'a un gap de $20$ Hz entre chaque pic.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7856ebf2",
   "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": "2915894f",
   "metadata": {},
   "source": [
    "Implémentez dans un premier temps la fonction permettant de ne garder que les $K$ fréquences les plus significatives (c'est-à-dire avec la plus grande amplitude). Votre fonction prendra en entrée un signal fréquentiel et un nombre $K$ de fréquences à garder, et retournera le signal fréquentiel modifié."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "0f8c7fbc",
   "metadata": {},
   "outputs": [],
   "source": [
    "# A COMPLETER\n",
    "# Développement de la fonction qui sélectionne les K fréquences les plus significatives\n",
    "def keep_K_freq(tf_signal, K):\n",
    "    \n",
    "    amplitude_tf_signal = np.abs(tf_signal) # On extrait l'amplitude du signal\n",
    "    \n",
    "    # On trie les valeurs d'amplitudes par ordre croissant, et on récupère les valeurs des indices via argsort\n",
    "    # [::-1] permet de retourner le vecteur pour avoir un tri décroissant\n",
    "    indices_sort_amplitude = np.argsort(amplitude_tf_signal)[::-1]\n",
    "\n",
    "    # On récupère les indices des K plus grandes fréquences\n",
    "    indices_K_frequences = indices_sort_amplitude[:K]\n",
    "\n",
    "    # On crée un nouveau signal fréquentiel mis à zéro et on copie les valeurs des K plus grandes fréquences du signal original\n",
    "    tf_signal_K_freq = np.zeros_like(tf_signal)\n",
    "    tf_signal_K_freq[indices_K_frequences] = tf_signal[indices_K_frequences]\n",
    "\n",
    "    return tf_signal_K_freq    "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "373da43c",
   "metadata": {},
   "source": [
    "Appliquez votre fonction sur la TF du signal carré pour ne garder que les 5 fréquences les plus significatives. Affichez ensuite le spectre d'amplitude."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "bd0444f7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x500 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# A COMPLETER\n",
    "# Modification de la TF du signal carré pour ne garder que les 5 fréquences les plus significatives\n",
    "C_5 = keep_K_freq(C,5)\n",
    "\n",
    "# Affichage du spectre d'amplitude du signal fréquentiel modifié\n",
    "amplitude_C_5 = np.abs(C_5)\n",
    "plt.subplots(1,2,figsize=(12,5))\n",
    "plt.subplot(121)\n",
    "plt.stem(freq_C, amplitude_C_5, markerfmt=\" \")\n",
    "plt.title(\"Amplitude de C_5(f)\")\n",
    "plt.xlabel(\"Fréquences (Hz)\")\n",
    "plt.ylabel(\"Amplitude\")\n",
    "plt.subplot(122)\n",
    "plt.stem(freq_C[:1000], amplitude_C_5[:1000], markerfmt=\" \")\n",
    "plt.title(\"Amplitude de C_5(f) zoomé sur les 1000 premières fréquences\")\n",
    "plt.xlabel(\"Fréquences (Hz)\")\n",
    "plt.ylabel(\"Amplitude\")\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "bc943482",
   "metadata": {},
   "source": [
    "Effectuez la transformée inverse sur ce nouveau signal fréquentiel, et affichez le résultat sur une même figure avec le signal original."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "db81d7b0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# A COMPLETER\n",
    "# TF inverse du nouveau signal fréquentiel\n",
    "c_5 = np.fft.irfft(C_5)\n",
    "\n",
    "# Affichage des deux signaux temporels sur une même figure\n",
    "plt.figure(figsize=(15,5))\n",
    "plt.plot(t,c, label='original')\n",
    "plt.plot(t,c_5, label='K=5')\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": "70f0a669",
   "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 c[n]²}{\\sum(c[n]-ĉ[n])²})\n",
    "\\end{equation*}\n",
    "\n",
    "Ici, $c$ correspond à notre signal original et $ĉ$ notre signal compressé. Le bruit est donc 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",
    "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 signal compressé est très loin de représenter le signal original\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 compressé est quasi indiscernable de l'original.\n",
    "\n",
    "Développez une fonction de calcul de rapport signal sur bruit, et appliquez la fonction sur votre signal original et votre signal compressé"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "b98b538b",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Rapport S/B à K=5 : 13.93387799953822 dB\n"
     ]
    }
   ],
   "source": [
    "# A COMPLETER\n",
    "# Fonction de calcul du rapport S/B\n",
    "def rapport_sb(signal,signal_compresse):\n",
    "    return 10 * np.log10(np.sum(signal.astype(float)**2) / np.sum((signal.astype(float) - signal_compresse.astype(float))**2))\n",
    "\n",
    "print(f\"Rapport S/B à K=5 : {rapport_sb(c,c_5)} dB\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "eee7a2be",
   "metadata": {},
   "source": [
    "Répétez les mêmes opérations pour avoir sur la même figure le signal original et plusieurs versions compressées du signal ($K = 1, 5, 20, 100$)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "3066da64",
   "metadata": {},
   "outputs": [
    {
     "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\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 = keep_K_freq(C,K)\n",
    "    c_K = np.fft.irfft(C_K)\n",
    "    plt.plot(t,c_K, label=f'K={K}')\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": "22682bc0",
   "metadata": {},
   "source": [
    "Calculez les différents rapports $S/B$ en variant $K$ par puissances de 2 (jusqu'à $K = N$, le nombre d'échantillons de fréquences). Tracez la courbe du rapport $S/B$ en fonction de $K$.\n",
    "\n",
    "*Note : En récupérant le nombre de bits pour coder $N$ (N.bit_length()), on peut trouver facilement la dernière puissance de 2 inférieure à $N$*"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "2ec6c5b0",
   "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 avec K variant en puissances de 2\n",
    "\n",
    "N = len(freq_C) # Nombre d'échantillons de fréquences\n",
    "K_values = []\n",
    "RSB_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 = keep_K_freq(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",
    "    RSB_values.append(rapport_sb(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": "markdown",
   "id": "0cfe1988",
   "metadata": {},
   "source": [
    "**_QUESTION :_** A partir de quelle valeur de $K$ a-t-on une compression acceptable ?"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8878c4de",
   "metadata": {},
   "source": [
    "**_REPONSE :_**\n",
    "Tout dépend de ce qu'on appelle *acceptable* ici. Si on reprend les définitions expliquées au-dessus, on considère que la qualité de reconstruction est bonne à partir d'un rapport $S/B$ supérieur à 20 dB. De ce fait, on atteint ce seuil à k = 2^{5} = 32."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "70530bfa",
   "metadata": {},
   "source": [
    "## Exercice 7 : 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": "6b119a41",
   "metadata": {},
   "source": [
    "Chargez l'audio *music.wav* et tracez le signal."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "2196b900",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/tmp/ipykernel_20734/1836422975.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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9e6n63m/Sc+SVKrkFyt/RXXqMCAMgunaqUtWO5jtSn9SaVf1+pFy/r3U7J6/p1+n94i05ms7dgzUJyh26K2sa1Y2QS88pwPFr99BmgX6d1VWp/K5UbXI/nan62Pt8cAAvrDqMOw+K8fmhms1lpRXmrSnTFZMishiGNsn8fCYL3x2/oXONz6cHrmq9U1Tl/75KRlp2AV6rNsx4/PoTSLx6F7N/0K0pKuX6fUT/cgnPrzyMt747jcQr2udyqfoeVX23xM5lczFLjmGfJeKwkeaPGR6TiO9P3sS4DZo7IVfWSI344hh+u/TkzjnjrviRdXkPazZZrE7QnlzdFzk0X5WRX9SsBdFV0h/61RRVlf9IfNND1eYeALj6V5PSVpF93NT1gfozT78pK7SJ3qvcHypdwjmzqnYgThAxmlQQBKXkXR8f7vtd4/bNoe+HB2rUlo35WvPf/I17D/HtsZpJ8qRvUowam7EwKSKLcOyPu+iy9DfsPaffXSCgPJRWlxFe1WuOxFI3ouVuoW7bHfZZIj4/+KTa3Zx9jU7f0H5nK8b9h48v0n+I7Lxc6ZweI/z0GcUnCBBdO2YrNiZdV/l4rh6jGs1JrmMCaMjUE/q4kKV7cmbq/kP/91VyjT5PplK9xk2m53Y0NfVLiUkRWYQxXx/H3cISvLlJdft4dVdyH2gcJXLMTCcIMg5VHTMNJcCId8+W2f3BKMp0aMbQZQoEqUeJWsLUE1I5euUuRhhQe0lPMCkiiyBmSvoceRHCVxxE6H/UT6ZYtRahrLwCcRdzFLUZRGLpM2moplFb1mZnleHnMjV1A+YeTWUquuZ23ZvVM3hfp9T0xzGX6v219CGTPfk+6DtZqCUxaVL02WefoUOHDvD09ISnpyfCwsLwyy+/KJ4vKirC1KlTUa9ePXh4eGDYsGHIyVE++WRmZmLw4MFwd3dHw4YNMWvWLJSVKTdbHDhwAJ07d4aLiwtatGiBDRs21Ihl7dq1aNq0KVxdXREaGorjx8VPwEaWQWwz0xeHH3cwPp5h/X+wupywq87ZYsMVHCY/tqrb17VZsGon6mlbUzVv1IqkZz+ZHXnzcf06UV+9rd8My5aqa5O6osqr6gj/ymeJxgpHL8ZYU7Fq/zZ95vCyNCZNiho1aoRly5YhJSUFJ0+eRP/+/TFkyBBcuPB4WOf06dOxa9cubNu2DQcPHkRWVhaGDh2qeH15eTkGDx6MkpISJCYmYuPGjdiwYQMWLFigKJORkYHBgwejX79+SE1NxbRp0/DGG2/g119/VZTZunUrZsyYgYULF+LUqVPo2LEjIiIikJtr2LILZB0M6adU3XdVLgjqEpTf9ZxeXyx1bfmGLuJJ+jP1TNCmUFwqroZH374gY1RMWWBt4i89uWbcNUKHfUtfs1XXWrOlBi4HZElMmhS99NJLeOGFF9CyZUs8/fTTeP/99+Hh4YFjx44hPz8fX331FVasWIH+/fsjJCQE69evR2JiIo4de9w2um/fPly8eBHffvstOnXqhOeffx5LlizB2rVrUVLy+AsZExODoKAgfPTRR2jTpg2ioqLwyiuv4OOPP1bEsWLFCkycOBHjx49HcHAwYmJi4O7ujq+//tqUh08W7vuT4idrnKdlkjipVD153dMykzMAvRY4/fvnSSgSeQE1N106fcp07Bmq73Ismhhri/p2blVFnxGY+jBnJ2hTOfj7k2kHqg9F//aY6o7s9mDdEWnWNjQFs/UpKi8vx5YtW1BYWIiwsDCkpKSgtLQU4eHhijKtW7dG48aNkZT0eD6OpKQktG/fHr6+vooyERERkMvlitqmpKQkpW1UlqncRklJCVJSUpTKODg4IDw8XFFGleLiYsjlcqUfsh2muOBZkxVx6of3qmOM5kepZ/NW96nnP6qZSGrrrC91x2J96JoMy3TNHI1A32VvxDL1Ec3/a4JJ6/tWUFUmT4rOnTsHDw8PuLi4YPLkydi+fTuCg4ORnZ0NZ2dneHt7K5X39fVFdvbjO5fs7GylhKjy+crnNJWRy+V49OgR7ty5g/LycpVlKrehSnR0NLy8vBQ/gYGBeh0/mY+Ya1ShATMYG+oPPVa7N7aHetQUWRsx34c5P9asAdSWOM8RsTRKpeqzW5ubPqMyTZ37iZ240wpzUbtgzYvAVmXypKhVq1ZITU1FcnIypkyZgrFjx+LiRctvf5w3bx7y8/MVPzdusJ+GKZVpuAAZdWi1BTj0u+ZZl02tTMvimdZCn4ujMS+o+jS/mgsTB/3xrdNO1fdLnwWrLVEtU+/A2dkZLVq0AACEhITgxIkTWLlyJUaMGIGSkhLk5eUp1Rbl5OTAz88PAODn51djlFjl6LSqZaqPWMvJyYGnpyfc3Nzg6OgIR0dHlWUqt6GKi4sLXFxc9DtoMqmbOnRmNWPtv1lVPRcd/P02hncRX4NpC6PwDKHrd4MXx8fKKgQcEDF7M9knY82OLzWzz1NUUVGB4uJihISEwMnJCfHxT+aaSU9PR2ZmJsLCwgAAYWFhOHfunNIosbi4OHh6eiI4OFhRpuo2KstUbsPZ2RkhISFKZSoqKhAfH68oQ9bl39vPK/6v67pNtmiWjsuJVMeLvW6q9hkqsZHaNX1J3RdMSurWlOPfkW0yaVI0b948HDp0CNeuXcO5c+cwb948HDhwAKNHj4aXlxcmTJiAGTNmYP/+/UhJScH48eMRFhaG7t27AwAGDhyI4OBgvPbaazhz5gx+/fVXzJ8/H1OnTlXU4kyePBl//PEHZs+ejbS0NHz66af4/vvvMX36dEUcM2bMwJdffomNGzfi0qVLmDJlCgoLCzF+/HhTHj6ZwYzvU6UOwawW7DyvvZAd09ZBeGeqfhMqfqHDKujmZOqaUF2X1jAGS08u/rVNt7UUzUHbYtN/mGEuqNOZ921iJKE6Jm0+y83NxZgxY3Dr1i14eXmhQ4cO+PXXX/Hcc88BAD7++GM4ODhg2LBhKC4uRkREBD799FPF6x0dHbF7925MmTIFYWFhqF27NsaOHYvFixcrygQFBWHPnj2YPn06Vq5ciUaNGmHdunWIiIhQlBkxYgRu376NBQsWIDs7G506dUJsbGyNztdkffJ0mKXalvpXqFsRu+ohVr1g2tKxqyPmEI0xt4wplJVXoJaj4feouQVFaOBheLO/HXxtrFKv5fux8KVgjH82SOXzhcXG7eysqj/nuPUnjLoPS2PSpOirr77S+LyrqyvWrl2LtWvXqi3TpEkT7N27V+N2+vbti9OnT2ssExUVhaioKI1liGxBlpYFT4vLjHPiLCwuQ20Xk3dLVEvVCftK7gPM33EOS4a0kyAi/W1KzsTYHk0N3k639+Mxoksgxj1r+LbIMn3wa7rapEjXxahJPa59Rjaj6kVyTYK4Yb62ZHOy5mUYYg4apynIUmdv/vZYJk5l5hlc26HP60v0XP/r3J/5er1Ola0nb+C8EbdnaUr17N+lcwd7K6heVRfjJ79dNnMk2ln+u6mMSRHZpGQrHGFlrru8S1nWORHp+3uUp/JQtzApoN+M3TXocTZ/ec1RvfstGZO+nfAr6ZMY6NvPSeyuthy37+lRHpaUo+v7v6l8zlbmCpISkyIiC7F2/1VJ92+URMKEvjxsHUsJvL0l1ejbLCgyX8dnAEhIEz8E31wVLAXFmideVVdLpimJtjZ3dFjKRxfa3hMrqDQzOiZFRAQA+PSAdTU5TtuquR+hLWm/aJ/S7/rWypy5madTuau3rXeqC30XrDWGzcmZuH7XMpuV9RH9S5rUIZgdkyKyGWJWpz91/b72QlZEzB1dhZrCuWrmY7FUR6+oX7IiK/8RitU0JRizxuB2gXW9Z5bY50Qf+vbdUkVsU+GKuN9x50Exzt6sWSP1znbLXDBaHeWRqgKuVhvSv+tMlpkjkp50Q0eIjCxHrnrUlaoTqD3P6lxo4c1kxjDbwD41ulLXt0MsfZqrbIU+y/h8duAq3g5vKeo1Xxw2TvP0qvjLotdrswbfHruOd3dekDoMybGmiKyaLourXs41/YRmRIa4Z6HzJ4mxJuEKhsckiu7sW1Qqvtbn1wvqF/P+r5omH2P22dO2WLA1WmODiZ4+mBSRxbPHzn7GwzdPX3znxHlUWo4T1+5jW4q4hXKN3QSprSO2LdM2oztpx6SIbAaTJyLpqevLpcnPevRdMdXwc3s6j9zKt93lOvTFpIjIBPan5Zp1EjgpqvNtaYiztTmQflvqEIzqn9+JH0n40b50E0Ri3dT1q1Tn9Q0nce6vDuO20IRrDEyKiExg/IYTiL9kvs6z5p7HxhA/nRLXvEI17Uy1v1FBVf2Z98gk81YJgoBrd613OgJ1ic11Dce06+zj71JpuR1VkWnApIjIRJL+UD9k3Nis6XQ243vLWXXcmn11xDomszSUqr+j/EemuQn4b2w6bt63vSalMyqmDzAXa2uOZFJEVMWdB9Y170wlVSeewuIyqzsh6UPsMera1Gjpa2At2X1ReyETEQQBl3MKzLKvh2aaQqKiQkDMQWlnlbdFwz5LlDoEUThPEVEVp67fx8C2flKHYbDfcwow8ONDUodhkXbouDaZISmRpSdUmugyGmz76T9tpsZPEB5PYnjbSm+IyLiYFBHZoPVHxTetPCixj6HMf+bp1jxiSF6TbqZaFFMY+tlRrWU2Jl4zyb7/zHuEn+28vxRJi81nRAQA2HP2lqjy+sxEbC8ui1hyxtLcuCddn5phnybiv7HmXW/ri8N/mHV/ZNmYFJHNEHORtpY5zqy5GcZayYtKMWTtUWTe039hz9UJ1rXG2BeHLKMvTbbIIeXGsOyXNFzMkpt9v+b0v6RrUodgNZgUkcXTNS9g/mDdbhiQhBjTV4czcEbCldaBx33CzOk/e8XVzkg5mskU7j807Rw9uo5EfWSiTuUnrtnWAtimxKSIqArrzausN/JKvZbvR+LVO6JfZ+xmPFPNlKxNQloOACAtWy5ZJ/lTmbx4msL49Se0ltl9NgttFsSaIRrShEkRWTxtF72tJzJVPl5QVIoVcb+r3qaaTWpaaFIsc9RcPVC7zpPh7YPaam7UzWj9Q8pNlJSJX+QTAH44+Xhix9LyCnx5SHtfj9Jy/fajitRLHizZfQkAkHjFfPNbVZelYyd0TX48pdvoPlIWtVn8rN7GcDzjniT7tVRMisjqzfnxnMrH/7P3ElbFi+vb8ZPIE/pH+9L1mh4/8672pqJLt+Q49ofmE1a7hb+qTECu5hrW0ffnM1notXy/Xq/917Yz+OyAYX1UNiZew/t7L2ktF3cxx6D9VBUWnWC0bZlLdr75++Boc+mWbffPsTWpEjcVWxomRWTRsvIeIVfHVbSrd55OvWF4vwe5luUzVidcwczvU0Vvt/cH2hOO51cexqgvj2ktp6o/xPFrht39GZrUHPzdsCVOzv2p22dnzJoiqWXcEb+8xI37ltEPi8hQBUWlFjGwhEkRWayHJWXosSxBp/Z4U9h6IhMdFu3TWo6dGMmYNK1TRaZhKZ387dWRy3fQftE+vLdLulnaKzEpIouVIxc3w6yYmwxdtq2uWY60K6sQ7PpCo66/lS5+M+NCwvTY0j2XjNALz3rpuvSNqVTOTbXBRJOCisGkiGyWpr4NP9rcSu2WdUo/ezNf7z5JYlRYQHW7KpzY0rqUVVRY2p+QWR29In7Up61iUkQWR5++FbaiQu87NvNfhC3hwr/+6DXRr9E2c7fUR9W9WT3J9m2hOabJGVKzZwvEzmZvy5gUkcXp9+EBFGjp4GwNrt8txP40cU0hf/88SfKqbF2tTrhism3v1HH9q7M385GsZYSetWkb4Cl1CHbnkURzU1mKrSdvSB2CwgkDB4kYikkRWSRdVuquTqqlO9SNmIhPy8X4DeI6iZ+8fh+7z0q/IKYuo0As5e5yzNfHpQ6BiIwk47a0LQVMiogMZOx6nTsPxM17ZN8V/0RExsOkiIgU1olcMfzOA/E1emQ8TIit30YLGHElNUvon1iJSRFRNfqsvyU941wel+7RPot0VWPZdGVTLOfSZD8W/nxB6hAkE39JxYz0Emf6TIrIYomd3dRYI2de/TLZOBuyAxeyuKSDKr/nGLbMCpE9mLDxpNQh1MCkiMjayQDe49unKZtOGXV7Ui6zYAlLPJD56T8NiWnUkjoAojIbWr+KrJ+UF+eKCkHntf4A/UZpWioLuzaSmXR4bx8eFJdJHYYCa4pIcmVWfjY09jVUbJO6vU88Z0tSb+Yh5qBhi/Hqy95raqT8O7prxwMWLCkhAlhTRGQwSxo5YSx2fn2UjJRNCWHRCSi34w9eqnnOACBk6W/S7ZyUMCkiIiJky4sk3b+911TRXyT+GrD5jGyGlHd6ZBvyH5ZKWku2ZPdF6XZOREyKSHq8QSQFiRPb1Jt5ku7/zM18SfdPZO+YFJHFEpsr2UpypU+Nl60cO5FUTl2/L3UIZAFMmhRFR0eja9euqFOnDho2bIjIyEikp6crlSkqKsLUqVNRr149eHh4YNiwYcjJUZ7lMjMzE4MHD4a7uzsaNmyIWbNmoaxMucf6gQMH0LlzZ7i4uKBFixbYsGFDjXjWrl2Lpk2bwtXVFaGhoTh+nLPxkuVhKyDZI6nz+kn/S5E4ArIEJk2KDh48iKlTp+LYsWOIi4tDaWkpBg4ciMLCJ6vgTp8+Hbt27cK2bdtw8OBBZGVlYejQoYrny8vLMXjwYJSUlCAxMREbN27Ehg0bsGDBAkWZjIwMDB48GP369UNqaiqmTZuGN954A7/++quizNatWzFjxgwsXLgQp06dQseOHREREYHc3FxTvgVkB6SupTFFXypbHFGni3MSN58R2bvfcwok3b9Jk6LY2FiMGzcObdu2RceOHbFhwwZkZmYiJeVxRp6fn4+vvvoKK1asQP/+/RESEoL169cjMTERx44dAwDs27cPFy9exLfffotOnTrh+eefx5IlS7B27VqUlDxeTTwmJgZBQUH46KOP0KZNG0RFReGVV17Bxx9/rIhlxYoVmDhxIsaPH4/g4GDExMTA3d0dX3/9tSnfAjKAtdSY2Gf6YJs++e0yP0+JXLrFJWMIWHckQ9L9m7VPUX7+406EPj4+AICUlBSUlpYiPDxcUaZ169Zo3LgxkpKSAABJSUlo3749fH19FWUiIiIgl8tx4cIFRZmq26gsU7mNkpISpKSkKJVxcHBAeHi4okx1xcXFkMvlSj9kGvZaK2Es1pI8Emny8pqjUodAZL6kqKKiAtOmTcOzzz6Ldu3aAQCys7Ph7OwMb29vpbK+vr7Izs5WlKmaEFU+X/mcpjJyuRyPHj3CnTt3UF5errJM5Taqi46OhpeXl+InMDBQvwMnvcg4vp4kUFYhsMaCyI6ZLSmaOnUqzp8/jy1btphrlwaZN28e8vPzFT83btyQOiSyE/okhLZS13b97kOpQ0Di1btSh0BEEjHLjNZRUVHYvXs3Dh06hEaNGike9/PzQ0lJCfLy8pRqi3JycuDn56coU32UWOXotKplqo9Yy8nJgaenJ9zc3ODo6AhHR0eVZSq3UZ2LiwtcXFz0O2AiM9p1Jgs5NrIwaAqHRRORhExaUyQIAqKiorB9+3YkJCQgKChI6fmQkBA4OTkhPj5e8Vh6ejoyMzMRFhYGAAgLC8O5c+eURonFxcXB09MTwcHBijJVt1FZpnIbzs7OCAkJUSpTUVGB+Ph4RRmyfpKNApO4mmbRrov47IA0i4gSEdkSk9YUTZ06FZs3b8bOnTtRp04dRf8dLy8vuLm5wcvLCxMmTMCMGTPg4+MDT09PvPXWWwgLC0P37t0BAAMHDkRwcDBee+01LF++HNnZ2Zg/fz6mTp2qqMmZPHky1qxZg9mzZ+P1119HQkICvv/+e+zZs0cRy4wZMzB27Fh06dIF3bp1wyeffILCwkKMHz/elG8B6UBdMmMtTUK22FFcymkGTmeytoiIpGHSpOizzz4DAPTt21fp8fXr12PcuHEAgI8//hgODg4YNmwYiouLERERgU8//VRR1tHREbt378aUKVMQFhaG2rVrY+zYsVi8eLGiTFBQEPbs2YPp06dj5cqVaNSoEdatW4eIiAhFmREjRuD27dtYsGABsrOz0alTJ8TGxtbofE1E0vrbp4lSh0BEdsqkSZEuqx67urpi7dq1WLt2rdoyTZo0wd69ezVup2/fvjh9+rTGMlFRUYiKitIaE5G9s726LyIi7bj2GZGF4WwERETSMMvoMyKx7hWWwNvdSeowdKZLraiulu6+hIw7hdoLEhGRUbGmiCSnKp34aF+6ikfVG/XFMST9Ic38MqXlAkL/E6+9oI5Kyiuw/ug1o21PrO9P3MC9whLJ9k9EJBXWFJFFSrx6F6vjL+tc3tgJ0R+3H4gqn2sj8wQBwOwfz4oq3+/DA6YJhIjIzFhTRBZrR2qWZPvu/9FByfZtbdjUR0S2gkkREREREZgUkQUwZidlIiIifTEpIiIiIgKTIiIiIiIATIqIiIiIADApIiIiIgLApIgsALtZExGRJWBSRERERAQmRUREREQAmBQRERERAWBSRERERASASRFZAE5oTUREloBJERERERGYFBEREREBYFJEREREBIBJEREREREAJkVkCdjRmoiILACTIpLcldsPpA6BiIiISRFJb++5W1KHQERExKSIiIiICGBSRBaAkzcSEZElYFJEkjt0+bbUIRARETEpIuldyWVHayIikh6TIiIiIiIwKSIiIiICwKSIiIiICACTIiIiIiIATIpIYtO2nJY6BCIiIgBMikhiO1KzpA6BiIgIAJMiIiIiIgBMioiIiIgAMCkiIiIiAsCkiMzg95wCdP9PPDYnZ0odChERkVpMisjk5vx4FtnyIryz/ZzUoRAREanFpIhMrrxCkDoEIiIirUyaFB06dAgvvfQSAgICIJPJsGPHDqXnBUHAggUL4O/vDzc3N4SHh+Py5ctKZe7du4fRo0fD09MT3t7emDBhAh48UF5A9OzZs+jVqxdcXV0RGBiI5cuX14hl27ZtaN26NVxdXdG+fXvs3bvX6MdLTwiCgLk/nsWyX9IgkzoYIiIiHZg0KSosLETHjh2xdu1alc8vX74cq1atQkxMDJKTk1G7dm1ERESgqKhIUWb06NG4cOEC4uLisHv3bhw6dAiTJk1SPC+XyzFw4EA0adIEKSkp+OCDD7Bo0SJ88cUXijKJiYkYNWoUJkyYgNOnTyMyMhKRkZE4f/686Q7ezv1xpxBbTtxAzMGrUodCRESkE5kgCGZp25DJZNi+fTsiIyMBPK5JCAgIwMyZM/Gvf/0LAJCfnw9fX19s2LABI0eOxKVLlxAcHIwTJ06gS5cuAIDY2Fi88MILuHnzJgICAvDZZ5/h3//+N7Kzs+Hs7AwAmDt3Lnbs2IG0tDQAwIgRI1BYWIjdu3cr4unevTs6deqEmJgYneKXy+Xw8vJCfn4+PD09jfW22KyLWXK8sOowAKC2syMKS8oBANeWDVYq13TuHrPHRkRElqv6dcJQYq7fkvUpysjIQHZ2NsLDwxWPeXl5ITQ0FElJSQCApKQkeHt7KxIiAAgPD4eDgwOSk5MVZXr37q1IiAAgIiIC6enpuH//vqJM1f1UlqncjyrFxcWQy+VKP6S75Iy7iv9XJkRERESWTLKkKDs7GwDg6+ur9Livr6/iuezsbDRs2FDp+Vq1asHHx0epjKptVN2HujKVz6sSHR0NLy8vxU9gYKDYQ7Rr207elDoEIiIiUTj6TI158+YhPz9f8XPjxg2pQ7IqZRUVUodAREQkimRJkZ+fHwAgJydH6fGcnBzFc35+fsjNzVV6vqysDPfu3VMqo2obVfehrkzl86q4uLjA09NT6Yd0V1bOYfhERGRdJEuKgoKC4Ofnh/j4eMVjcrkcycnJCAsLAwCEhYUhLy8PKSkpijIJCQmoqKhAaGioosyhQ4dQWlqqKBMXF4dWrVqhbt26ijJV91NZpnI/ZHw37j+UOgQiIiJRTJoUPXjwAKmpqUhNTQXwuHN1amoqMjMzIZPJMG3aNCxduhQ///wzzp07hzFjxiAgIEAxQq1NmzYYNGgQJk6ciOPHj+Po0aOIiorCyJEjERAQAAB49dVX4ezsjAkTJuDChQvYunUrVq5ciRkzZijiePvttxEbG4uPPvoIaWlpWLRoEU6ePImoqChTHr5dK1VTU/T9yRv4nMP0iYjIAtUy5cZPnjyJfv36KX6vTFTGjh2LDRs2YPbs2SgsLMSkSZOQl5eHnj17IjY2Fq6urorXbNq0CVFRURgwYAAcHBwwbNgwrFq1SvG8l5cX9u3bh6lTpyIkJAT169fHggULlOYy6tGjBzZv3oz58+fjnXfeQcuWLbFjxw60a9fOlIdPKsz+4SwAIKKtH5rWry1xNERERE+YbZ4ia8d5isTRNv/QuB5NMblPc3SPjtdYjoiI7IuU8xSZtKaISJ0NiddwObdA6jCIiIgUOCSfjC5HXqS9EIAzN/JNHAkREZHumBSR0c358axO5R4Ul5k4EiIiIt0xKSKjir+UgwPpt6UOg4iISDQmRWRUEzaelDoEIiIivTApIiIiIgKTIjKiK7kPpA6BiIhIb0yKyGhm/XBG6hCIiIj0xqSIjOZRSbnUIRAREemNSRERERERmBQRERERAWBSREZSVFqOtGwu20FERNaLSREZxd8+TZQ6BCIiIoMwKSKD/XH7AS7dkksdBhERkUGYFJHB+n90UOoQiIiIDMakiES5lf8IseezUVT6ePj9tTuFEkdERERkHLWkDoCsS1h0guL/08Jb4njGPQmjISIiMh4mRaS3T367LHUIRERERsPmMyIiIiIwKSIREq/ekToEIiIik2FSRDq7mMVh90REZLuYFJHO5EVlUodARERkMkyKSEmuvAgPS2omP6k38rAqnh2riYjIdnH0GSmkXL+PYZ89Xq7j96XPw7nWk5w5cu1RqcIiIiIyC9YUkUJlQgQAV3IfAAAelZRj/PrjUoVERERkNqwpIgDAnQfFNR4TBAFtFsRKEA0REZH5sabIjpWWV+DSLTkEQcC2kzeVnnt9wwkc+P22RJERERGZH2uK7NiUb0/ht0s5Kp/Llhdh4c4LZo6IiIhIOqwpsmPqEqJKmfcemikSIiIi6TEpIiIiIgKbz+xSQloOzt7MlzoMIiIii8KkyA69vuGk1CEQERFZHDafEREREYFJEREREREAJkV2Y/fZLAyPScS9whKpQyEiIrJI7FNkB/64/QBRm08DADoviZM4GiIiIsvEmiI7cJAzUxMREWnFpMgO5D8qlToEIiIii8fmMxtWXiEgK+8RPvntstShEBERWTwmRTZo/dEMnLh2D3vPZUsdChERkdVgUmQjLucUoL6HC55hR2oiIiK92F2forVr16Jp06ZwdXVFaGgojh8/LnVIBpv4zUk89/EhJkREREQGsKuaoq1bt2LGjBmIiYlBaGgoPvnkE0RERCA9PR0NGzaUOjyNHhSXYc4PZ7Hn3C2pQyEiIrJJMkEQBKmDMJfQ0FB07doVa9asAQBUVFQgMDAQb731FubOnatUtri4GMXFxYrf5XI5AgMDkZ+fD09PT6PFdCW3AN8ey4QgCCgXBFQIQEWFgC0nbhhtH0RERNbi2rLBRt2eXC6Hl5eXTtdvu6kpKikpQUpKCubNm6d4zMHBAeHh4UhKSqpRPjo6Gu+9957J4/ozrwgbEq+ZfD9ERESkmd0kRXfu3EF5eTl8fX2VHvf19UVaWlqN8vPmzcOMGTMUv1fWFBlbYx93TO3XHI4yGWQyGRwdZHCQAR/u+93o+yIiIiL17CYpEsvFxQUuLi4m309Q/dqYFdG6xuNR/Vsq/S4IAu48KEHX938zeUxERET2yG6Sovr168PR0RE5OTlKj+fk5MDPz0+iqHQnk8nQoI6LyrbWgqJSfHk4A+uPZqCgqEyC6IiIiKyf3QzJd3Z2RkhICOLj4xWPVVRUID4+HmFhYRJGZrg6rk6Y8dzTOLcoQupQiIiIrJbdJEUAMGPGDHz55ZfYuHEjLl26hClTpqCwsBDjx4+XOjSjae1XR+n3/q0te6oBIiIiS2E3zWcAMGLECNy+fRsLFixAdnY2OnXqhNjY2Bqdr63Zrrd64sjlOyguq0BEW1/IZDI0nbtH6rCIiIgsnl3NU2QIMfMcWJoLWfkYvOqI1GEQERFpJeU8RXbVfGav2gZ4SR0CERGRxWNSRERERAQmRXYnslOA1CEQERFZJCZFdmZJZDvsfqsn+rVqIHUoREREFsWuRp/Zs3OLBqKkrAJ1XJ3Q7ikvrB/fjaPSiIiIqmBSZCfquDpJHQIREZFFY/MZEREREZgU2bWg+rWlDoGIiMhiMCmyY+2e4vxFRERElZgU2bElQ9qqfe4/f2tvxkiIiIikx6TIjnm7OyP5nQEY3N6/xnMtfT3w9bgucHNylCAyIiIi82NSZOd8PV3x8YhONR6XAejf2hfbJoeZPSYiIiIpMCkiONdywNG5/ZUek8kkCoaIiEgiTIoIAPCUt5vS7zJmRUREZGeYFJFKTImIiMjeMCkilTo08pY6BCIiIrNiUkQ1+Hu5wtGBdUVERGRfmBSRwssdAwAAU/u1kDgSIiIi8+OCsKTw8YhOmBbeUmn5jxYNPQAAdd2dcP9hqVShERERmRyTIlJwdJChWQMPpcdcnRxxafEgODrI8PT8XySKjIiIyPTYfEZauTk7wrmWA1aO7CR1KERERCbDpIh0NqTTU1KHQEREZDJMioiIiIjApIj0dPydAVg2tD36PN1A6lCIiIiMgh2tSZQzCweitLwC9T1cMLJbY4zoGoigeXulDouIiMhgTIpIFC83J6XfZTIZfGo7415hiUQRERERGQebz8hgbk6OUodARERkMCZFRERERGBSRERERASASRERERERACZFRERERACYFBEREREBYFJERiCTSR0BERGR4ZgUEREREYFJEREREREAJkVkBM+385M6BCIiIoNxmQ8y2MyBrdDuKS/0bFEfdd2d0e+jA7h+96HUYREREYnCpIgM5urkiCGdnlL8zn7XRERkjdh8RkYnSB0AERGRHpgUEREREcGESdH777+PHj16wN3dHd7e3irLZGZmYvDgwXB3d0fDhg0xa9YslJWVKZU5cOAAOnfuDBcXF7Ro0QIbNmyosZ21a9eiadOmcHV1RWhoKI4fP670fFFREaZOnYp69erBw8MDw4YNQ05OjrEOlaoRNFQVhQb5KP7/UscAM0RDRESkG5MlRSUlJRg+fDimTJmi8vny8nIMHjwYJSUlSExMxMaNG7FhwwYsWLBAUSYjIwODBw9Gv379kJqaimnTpuGNN97Ar7/+qiizdetWzJgxAwsXLsSpU6fQsWNHREREIDc3V1Fm+vTp2LVrF7Zt24aDBw8iKysLQ4cONdWh2z1BQwPaxte7YWjnp/Dp6M5YPeoZM0ZFRESkmUwQNN3XG27Dhg2YNm0a8vLylB7/5Zdf8OKLLyIrKwu+vr4AgJiYGMyZMwe3b9+Gs7Mz5syZgz179uD8+fOK140cORJ5eXmIjY0FAISGhqJr165Ys2YNAKCiogKBgYF46623MHfuXOTn56NBgwbYvHkzXnnlFQBAWloa2rRpg6SkJHTv3l2n45DL5fDy8kJ+fj48PT0NfVtsWq/lCbhx75HK564tG6z0e9O5e8wREhERWYnq1wlDibl+S9anKCkpCe3bt1ckRAAQEREBuVyOCxcuKMqEh4crvS4iIgJJSUkAHtdGpaSkKJVxcHBAeHi4okxKSgpKS0uVyrRu3RqNGzdWlFGluLgYcrlc6Yd0Y9o0m4iIyDQkS4qys7OVEiIAit+zs7M1lpHL5Xj06BHu3LmD8vJylWWqbsPZ2blGv6aqZVSJjo6Gl5eX4icwMFCv4ySujUZERNZBVFI0d+5cyGQyjT9paWmmitWs5s2bh/z8fMXPjRs3pA7JalSvKQrwcpMmECIiIhFETd44c+ZMjBs3TmOZZs2a6bQtPz+/GqPEKkeE+fn5Kf6tPkosJycHnp6ecHNzg6OjIxwdHVWWqbqNkpIS5OXlKdUWVS2jiouLC1xcXHQ6FlIvI/oF9PzvfqnDICIi0kpUTVGDBg3QunVrjT/Ozs46bSssLAznzp1TGiUWFxcHT09PBAcHK8rEx8crvS4uLg5hYWEAAGdnZ4SEhCiVqaioQHx8vKJMSEgInJyclMqkp6cjMzNTUYaMq3lDD8X/ZWw7IyIiK2GyZT4yMzNx7949ZGZmory8HKmpqQCAFi1awMPDAwMHDkRwcDBee+01LF++HNnZ2Zg/fz6mTp2qqKGZPHky1qxZg9mzZ+P1119HQkICvv/+e+zZ82TE0owZMzB27Fh06dIF3bp1wyeffILCwkKMHz8eAODl5YUJEyZgxowZ8PHxgaenJ9566y2EhYXpPPKMxPnwlQ74b2w6xoQ1kToUIiIinZksKVqwYAE2btyo+P2ZZx7PSbN//3707dsXjo6O2L17N6ZMmYKwsDDUrl0bY8eOxeLFixWvCQoKwp49ezB9+nSsXLkSjRo1wrp16xAREaEoM2LECNy+fRsLFixAdnY2OnXqhNjYWKXO1x9//DEcHBwwbNgwFBcXIyIiAp9++qmpDt3uNfR0xUd/76hT2SGdArAzNcvEEREREWln8nmKbAXnKdLfs8sS8Gfe43mLqs8/UVBUivaL9kkRFhERWSC7nKeICADquDpJHQIREREAJkVkBuOfbQoA6NeqgbSBEBERaWCyPkVElV5/NgjdgnzQyq+O1KEQERGpxZoiMjkHBxk6NPKGSy1Hlc83b1DbzBERERHVxKSIJOfpxn5FREQkPSZFJLkPh+s2fJ+IiMiUmBSR5JrWY/MZERFJj0kREREREZgUEREREQFgUkREREQEgEkREREREQAmRUREREQAmBQRERERAWBSRERERASASRERERERACZFRERERACYFBEREREBYFJEREREBIBJEREREREAJkVEREREAJgUEREREQFgUkREREQEgEkREREREQAmRUREREQAmBQRERERAWBSRERERASASRERERERACZFRERERACYFBFZpGB/T6lDICKyO0yKiCxQ0/ruUodARGR3mBSR5GRSB2CBZHxXiIjMjkkREREREZgUEVmk7s3rSR0CEZHdYVJEZIF6MCkiIjI7JkVEFkhsj6J6tZ1NEgcRkT1hUkRkBKNDGxt1e3VcnUSV93IXV96Y3J0dJds3EZExMSkii/XxiI6S7XtA64aiyr/Rq5lR9+8g4eCzuiITrHdfDDZRJERE5sWkiCyWlMPSW/nVEVW+lpRZDKSd1sDDpZaEeyciMh4mRUQquNSyriYhQcJ9N2/gIeHeiYiMh0kRkQpjwppIun+ZTLq6nw6NvEWVDw7gkiREZBtMlhRdu3YNEyZMQFBQENzc3NC8eXMsXLgQJSUlSuXOnj2LXr16wdXVFYGBgVi+fHmNbW3btg2tW7eGq6sr2rdvj7179yo9LwgCFixYAH9/f7i5uSE8PByXL19WKnPv3j2MHj0anp6e8Pb2xoQJE/DgwQPjHzgZjSBh/UddCUdzOTlK2xS3bFh7SfdPRCQVkyVFaWlpqKiowOeff44LFy7g448/RkxMDN555x1FGblcjoEDB6JJkyZISUnBBx98gEWLFuGLL75QlElMTMSoUaMwYcIEnD59GpGRkYiMjMT58+cVZZYvX45Vq1YhJiYGycnJqF27NiIiIlBUVKQoM3r0aFy4cAFxcXHYvXs3Dh06hEmTJpnq8MnMeraoL+n+XZ2M19wWVL+2qPKzB7Uyap8ify83I26NiMh6mCwpGjRoENavX4+BAweiWbNmePnll/Gvf/0LP/30k6LMpk2bUFJSgq+//hpt27bFyJEj8c9//hMrVqxQlFm5ciUGDRqEWbNmoU2bNliyZAk6d+6MNWvWAHhcS/TJJ59g/vz5GDJkCDp06IBvvvkGWVlZ2LFjBwDg0qVLiI2Nxbp16xAaGoqePXti9erV2LJlC7Kyskz1FpABWovs6LzwJWlHQDWo4yLZvp9uKO69IiIi1czapyg/Px8+Pj6K35OSktC7d284Oz9pqoiIiEB6ejru37+vKBMeHq60nYiICCQlJQEAMjIykJ2drVTGy8sLoaGhijJJSUnw9vZGly5dFGXCw8Ph4OCA5ORklbEWFxdDLpcr/ZD5jA5tLGr0mZTz9JgCl4Olqpwd2f2TyBzM9pd25coVrF69Gv/4xz8Uj2VnZ8PX11epXOXv2dnZGstUfb7q69SVadhQed6ZWrVqwcfHR1GmuujoaHh5eSl+AgMDRR0vGUjCjsbWhm8VEZFxiE6K5s6dC5lMpvEnLS1N6TV//vknBg0ahOHDh2PixIlGC96U5s2bh/z8fMXPjRs3pA6J7ISU8zMREdkz0bOuzZw5E+PGjdNYplmzJ7P7ZmVloV+/fujRo4dSB2oA8PPzQ05OjtJjlb/7+flpLFP1+crH/P39lcp06tRJUSY3N1dpG2VlZbh3757i9dW5uLjAxUW6fiJERERkXqJriho0aIDWrVtr/KnsI/Tnn3+ib9++CAkJwfr16+HgoLy7sLAwHDp0CKWlpYrH4uLi0KpVK9StW1dRJj4+Xul1cXFxCAsLAwAEBQXBz89PqYxcLkdycrKiTFhYGPLy8pCSkqIok5CQgIqKCoSGhop9C8gMPF3F5eu2VrtSm7NES6JXS2lHMf69SyNJ909k70zWp6gyIWrcuDE+/PBD3L59G9nZ2Up9eF599VU4OztjwoQJuHDhArZu3YqVK1dixowZijJvv/02YmNj8dFHHyEtLQ2LFi3CyZMnERUVBeDxJHfTpk3D0qVL8fPPP+PcuXMYM2YMAgICEBkZCQBo06YNBg0ahIkTJ+L48eM4evQooqKiMHLkSAQEBJjqLSADDG7vr/a5IZ3M85m18ZdmUkIBApxrsWOtFJqJnA7B2Pw8XVU+Hta8npkjsT99WzWQOgSyACY788bFxeHKlSuIj49Ho0aN4O/vr/ip5OXlhX379iEjIwMhISGYOXMmFixYoDR/UI8ePbB582Z88cUX6NixI3744Qfs2LED7dq1U5SZPXs23nrrLUyaNAldu3bFgwcPEBsbC1fXJyeYTZs2oXXr1hgwYABeeOEF9OzZs0ZzHlmOWo4Oaoe5e4pcQd7WyWSAp5vtvCeBPtLNkySTySSdzVzdTOb/6GPcBYeppla+qqe2CGlS18yR2B93Z8tZVslkdfTjxo3T2vcIADp06IDDhw9rLDN8+HAMHz5c7fMymQyLFy/G4sWL1Zbx8fHB5s2btcZDlqOHmrtjWx9tpU9TYJcmdXE6M8/4wWjhYoIaLX8vN9y498jo29VV92b18E3SdUn2rW42cycOyTc5KZfWsXcOFvTe8y+NLJaYk5SjmVapr21BdzRV2dIJvc/T0jVjNPZxl2zfgG19jtamezMf7YVMZP7gNpLt2xJY0reeSRFZHVV/QD4mWKtM1X6kXI1endrOttMpu22AJyb1lq6paGQ3zkcmFTPd16hVy0G6y+Ebvey3ebSLhTVPMikiUkOqm3ZfL9WdbdXpFiTdHa6xDekUIGlTkblqHMl68BthWpP7NJc6BCVMiohEEMxQVRTVr4Wo8jKZrU1IQGQ5zFU7LHXTrVTCg321FzIjJkVkdaTsdyGY4RSpaSTG+39rp/oJZkVk5SyxaRp4vOi4OXBuMsvApIhIBHXDds2lVwvOpUL2xVzzkpF0ujS1nH5FTIqIRPB2r9mhO1iiSR7J9gwPkW5G628nhGKghE0Z6io7uzeTduJKDzPNi2bPlb0fDu8odQgKTIqIRFBVkV7bxTKH6VsjM7VUqCV176yGama0NoeeEi9xYqnNZ6NDG0sdgs2r5+GCp309pA4DAJMiIlHM1b9ALKkv5rbEEt9Jc8U0TMKaKqk1ra+6o7OrE296zMFSTq1Mishm+HqqXhaExOvZQppaA0s4L9rz/IkDg33RpJ40o6DUve3m+jga1ZV64k5Jd09/YVJENsPdhiYxlFqjutKtP0Y1mStZlMlkOPCvvmbaG5HlYVJENsMcN1qWUsVLpsG7dS41QvaNSRFZnM0TQ6UOAQAQ4F2ztsTBTmY89nI3z4gbIrIM9T2Mv1SSNWJSRBanR3M9+7MYKV9xdXr8Z/F+ZDsMauun9Nx7L7c1zk50cHRuf3wyopNOZY19cz+1Xwv0lnBhVjG+m9hd6hCIrN63b1jGzajUmBQRVfPTlGcBPB4eHfNaiNJzQfVr1yhvqpFfT3m7STZHi6erE755vZsk+xbLuRZPY0SGau3H+dYAJkVk4SJFzGbrZIRVrgO8XBEcwJODNWEXGCLDiF1v0ZYxKSKL9snIZzC1n26rKE9/7mmD92cJnUwdNMSgrlZE+qilYw+d39V9vodn9zNrHGSbHCXqK9mtqY/i/zP+On//vYu0c2VxDDNZlTqu6r+yUs1TZMxFYsPbNEQb/yfrq1XPj/y8VM94LFUu5yvhDMwENKhjO3NzTerdHDEHr0qy7/A2lrVSu7343xtPmuifb++P4/8egAYe0n6nWVNE1sXGawXWje1qEbVVuvpqbBepQzA6QxI9Y9xxfzKiE+ra4ei/Z1uo7j9njj8HNplLw6WW8mzhDeu4Sn7+Y1JEFs8Wl7BopqLDtrXxqe2Mlr51tBcUwU9kQqKp5lBfzzSuiwUvBuv12nZPeRm8/8hnnsKpd58zeDu2wh6aRwHA3bnmciLmXnetXyvrGHFqSkyKyGZIfYchxjcTrGNklyYtGhp3AcfuzXzwUkfdO9YDQLsALxizO0Tlpl7vGWS8jeoThxV9l8k4lg3rIHUI+PfgNkq/j+waKFEk0mFSRGTBLOnS+LLIhEWsOYNai25+EiConCbB1qiqLDnx73Czx0Gm07yBB/ZN7y1pDE6OyimBh4v9dTtmUkQWr3pHZlu4iZa6SaBXS9UTZK4e9Yza1zQ1Y/KxetQz6Bbko72gHbOlTtaWYmCwtB2uq5/aujY1z99AQy6mrcCkiKzevOdbA7CsWhVL17GRt8rHxTZfmcpLHQPw/T/CpA5DqwvvRUgdgsXo0qSuYjZ4a/V5tclapWbq2lkAaPeUJ/7e5XEzWfWbNVu4ARXLur/BZBMMrTT5Rx/d5jHShT2eBMRwcuQbVFVtO2xeUMfN2RGvhEg7x4yhLK0vlznWWnzv5bY1ms0qWdr7YQ5MiogkYKxzjZtTzRErturXaabvb2GpFwHLjKqm+YOD8dnoznq//l09R/3p4ueoZ022bbIdTIrI4uk6JN9Cr2cmVTl0W+y0Bfq8V8M6P2XS6RGe8nbT+HxDHfvQtDLyNAGimKmzmJjlb8zJ1ckRz7f31/v1E3oGIWlef6XHxH5X1U130UFNk7Et4ZB6wzEpIqvTt1VDnctO6BmEYH/VE7OpushaW2LlpmJuE13oc5j1TDzTbEMjzY7dqK7m5Eof3rpOpmimL9DLapKiXVE9TbI/XdbGMlanYH8vwz6/+Jl9jBJHJcHEia5PbWejbWtgWz89XqX+O2vqY7dETIrI6ni56T7b77svBqNzE2/TBQPgvZfbmW7jVpakVdW0nrvUIYim7iLwXwuYQ6aq9k95q3y8SX3TvOe6zEk1uIP+NUQA0LSe7qMbez+tukbk7QEt9WoC7dKkruL/1Uf1GSMt0DRZa9UBBVL3UbO2m0JTYFJENmvZ0PYATDsj9tR+zVUuETCqWyASZvbBN69LM0ljGzW1Y+bS2q8ODsxSvVjpmlfVD/vXxEPN7NXGupnt26oBaqnpcGotfbdMdWOvy8Xa0L+yQB/dErrhIY3wxWshOLdoYI3n9Dn8DeO7KiVZY7o30fqacT2aitqHplFtVRPOAC1NyBN7aZ5UdIiRm1XdnA1P0ha8GIz2Rpjp3VyYFJHFqz5PkboLVNXkZ8mQthjZzfRT5E/qrXrkW/TQDmjWwEPtHa0pPe3rgf/rbt7lAcTQN0lVN0LGWNaP66r2Od5Bm5aY5V3Cg33h6uSIOq7GWR+uenO8ow4jLBe93FbUPoyVq7prSVK0PS9WbzXzmYlhbX87TIrIqghQX5Uv5o8vvI2vyousk4O4PwkxTXlVOegYrL6dzEd0CcSUvs1FNWlU1qypjwUYE/bkLnpppPpmQ3NNvKiqZqSWntMGmGPkWXgb3fvDWRtb6X2ircO/lJobeWkdbYzxN6Hruc5SMCkii/LbDM3Drqv3+dClY6mqv8nJfZrBpVbNr38PNSt1G5u/l/6dimdFtAIAbJ3UXW2ZWo4OmDOoNZ5tXvNOT11Vti41a1H9n3S4fVrNKK/5g9tg7l8TaqoSUqX/hinMHxyMxj7uGGWGmkKxGtRR/7lravJ0lbj5zhiXtcY6No9JzRQXcRmMMwP5iwaM7JOKTGZdtUVMisiqubsY92LxzgtttJYxxsnNkDuwqf1a4NqywQhtpjqB09av5G/PPKX3vr3dnXFyfrjGmZzf6NVMYzW+nwEJoS4CfdxxaHY/jO2hvW+IJdHUGbetin5rgPgLuKp+OMai7XtXz8N4o6zslabJHMWuG2gulhmVekyKyOJVbUIydRW9sdvkpWbMO7TK976+h4vko2R0oeoi7eggQ18J53LRNCKvet+5qtQl0c7Vazu1/IGYqylDl9FquurfWtr1yIzF1O/8c20s9H2ypmoiMCkiK6PP6BpV86fYSv8Hfejb58ZSif0sxY4cUkfVDMnPaekzNO5Z4+zbEkwLb6n2uclGXHpHVM2sGefVcTZxx3+xpM49Nr0RiiNzao44tbazjWV9qkQGUHdSeLGDf41h4J0CvfXeT+UK8+ZYpdwUJ7pXQhrptWFrO7kZk6oO76pmSNa2Dp9LLeM092qqVTIFVV+XaeFPqy0vdo08cx+PMYgck2FypqgFDPTRvdP5sy3qo1Fd6+g3pomFfaxE2lVtOtelw7JMJsOLHZTn7zBkePd7L7fF/MFtsGOq5a+lpOo0aWtNhOoYs9JA1+uNqacNkIKmTvNiaJoV2xonTtb0Wb//NxNO6KqOCe5aGlSbxf6rsV1Eb0Mms64bKvs4O5JVq34XKZPJkLrgOZSWC5Jc4Ou4OuGNXs3Mvl9dVX23pK5SJ+tnrP67Ayy1z4s2eiRsrf3Mv/6epo/pu4ndMerLYwbvY0AbXyyJbAdnRxnm/HhO8XjliFhbYHu3NWQXvN2dazRfmXLmaiKLYoU1K2Ramka0hjU33lQjr3VvgsgqI1i7NfXBVA21gNZ2XjZpUvTyyy+jcePGcHV1hb+/P1577TVkZWUplTl79ix69eoFV1dXBAYGYvny5TW2s23bNrRu3Rqurq5o37499u7dq/S8IAhYsGAB/P394ebmhvDwcFy+fFmpzL179zB69Gh4enrC29sbEyZMwIMHD4x/0ERksQRBMMskjfoQ04SkrmhtI09RUUnsWxah18KkZIg6apbBEcMUzZgW+uemlkmTon79+uH7779Heno6fvzxR1y9ehWvvPKK4nm5XI6BAweiSZMmSElJwQcffIBFixbhiy++UJRJTEzEqFGjMGHCBJw+fRqRkZGIjIzE+fPnFWWWL1+OVatWISYmBsnJyahduzYiIiJQVFSkKDN69GhcuHABcXFx2L17Nw4dOoRJkyaZ8vBJStb2l2hEpjpyS31LPdRMD2DMzrvm6PNijH3UcnTAmYUDcWaB6eYj0oUpJ5vU9D6ZswKtl4YlMOrVNt0gjBV/74g61b7zXZvWxczn1Hd8l5KFTp+klkmTounTp6N79+5o0qQJevTogblz5+LYsWMoLS0FAGzatAklJSX4+uuv0bZtW4wcORL//Oc/sWLFCsU2Vq5ciUGDBmHWrFlo06YNlixZgs6dO2PNmjUAHt/5ffLJJ5g/fz6GDBmCDh064JtvvkFWVhZ27NgBALh06RJiY2Oxbt06hIaGomfPnli9ejW2bNlSo+aKLI+xql/fHqB+CLEtUepTZGVV12IJUDFXjx3QlBh4uTnBy90464KRemPCmqp9rmm1iTiNeUMxtHMjnFmonPRum9wD9TxMPxpWH9Z2DjLb2eTevXvYtGkTevToASenx3+wSUlJ6N27N5ydn8x0GhERgfT0dNy/f19RJjw8XGlbERERSEpKAgBkZGQgOztbqYyXlxdCQ0MVZZKSkuDt7Y0uXZ70nA8PD4eDgwOSk5NVxltcXAy5XK70Q5ZN24nHlmfU9TTS4pi2zla64ph9SL6VXdjMoZbIKhBjJkaaZrYWo76HC9o99WS2dH1i1PpdlAE+ta3n3GvypGjOnDmoXbs26tWrh8zMTOzcuVPxXHZ2Nnx9lUckVP6enZ2tsUzV56u+Tl2Zhg2VJ1WrVasWfHx8FGWqi46OhpeXl+InMDBQ1HGTaVjjfCaG0PUc9VqVhVpJPWsc+m2tdr+lfV1CS6RrYmCpzcliHJvXX6+5s8QkyTIAHlZ00yY6KZo7dy5kMpnGn7S0NEX5WbNm4fTp09i3bx8cHR0xZsyYGot6WqJ58+YhPz9f8XPjxg2pQyIbZ0jznto+HGrOXTZwPtfKCk4zejP2sbWstixH92Y1Z4EXq52ahYfJctQyw7xaMpl11TOK7q4+c+ZMjBs3TmOZZs2ezOFSv3591K9fH08//TTatGmDwMBAHDt2DGFhYfDz80NOTo7Sayt/9/PzU/yrqkzV5ysf8/f3VyrTqVMnRZnc3FylbZSVleHevXuK11fn4uICFxfLbKO1Nx46jqqw9js3a1lFnKRnzJxIJgN+ebuX0mPOWmoPPI0w0smUWjb0wOVcji4m8USniQ0aNEDr1q01/lTtI1RVRUUFgMf9dQAgLCwMhw4dUnS8BoC4uDi0atUKdevWVZSJj49X2k5cXBzCwsIAAEFBQfDz81MqI5fLkZycrCgTFhaGvLw8pKSkKMokJCSgoqICoaGhYt8CMjMpJkKzZqaqiTXl/V59C+0kak5SNQ17uNSqUWMgU/q/8pTEzwX74reZfcwTnAiODjKMDjVnM7KV34WRSiarO0tOTsaaNWuQmpqK69evIyEhAaNGjULz5s0Vycqrr74KZ2dnTJgwARcuXMDWrVuxcuVKzJgxQ7Gdt99+G7Gxsfjoo4+QlpaGRYsW4eTJk4iKigLwuGpu2rRpWLp0KX7++WecO3cOY8aMQUBAACIjIwEAbdq0waBBgzBx4kQcP34cR48eRVRUFEaOHImAgIAasZNtahvgqb0QSULfWvzXnw0ybiBqiKmF7P10AwDGaYJSR8ouCM8F+6JhHe3L64ihah05dbo2ravy8bQlg+D317I/0UPbGyMsnU3t1xwhTZTjGtzBX01p04rsZB3XNDHrqpmTyepA3d3d8dNPP2HhwoUoLCyEv78/Bg0ahPnz5yuapby8vLBv3z5MnToVISEhqF+/PhYsWKA0f1CPHj2wefNmzJ8/H++88w5atmyJHTt2oF27J2vLzJ49G4WFhZg0aRLy8vLQs2dPxMbGwtX1yR/upk2bEBUVhQEDBsDBwQHDhg3DqlWrTHX4ZES6TranrSYjpIkP1o3pgqb1raeZytCJBq3lXvb9SP0uYpaY6H46ujMSr9xB43ruGPTJYZPsw5b6S/2jTzP8o7fmhXSrUjf0vOpaZF2ami4h3RVVswN5s/oeOHU9T+mxYH9P7Dl7y2RxqGOpk5NWp+/fvKmZLClq3749EhIStJbr0KEDDh/WfOIYPnw4hg8frvZ5mUyGxYsXY/HixWrL+Pj4YPPmzVrjIdvQpYnqu8nwYOnXX/Jy030khnWc3vTXubE3Nr3RHW7OppvsTxdv9BRX4/S0r4fa5zxcamFgWz9k3Ck0NCyLoe57ODq0MTYlZxq07XnPtzHo9eo4OcpQWm549li72kSJ7RsZrwP58mEdjLYta2Op84tZZlREBmrjb3k1CJUqZ2BW1wxQlT43faO6NRb/IgPN+2sldW1NRqpmATZnQqRuKQQxiSoArPh7JyNEY15v9tW9NkaT5g2eJITNGqhPDgGgUV3pmkjiphun31Pnxt4qH9f2t+lQpUCgmkEUw7s00jcsnT3lbZzPwFvPCUGbNaitvZAFsewhBEQiGHoCNvTk8WIHf+zWobq8cnHGLZPCkPewBCFLfwMAeIq8MFf35ZguOHHtHiZUqfWoejIeHtIIPgZMYKnpIjCxVzN0C/LRmoz+X3fzdYRV1cTUrL7qE3T/Ng1VPq5O1Y7hfp6uyJYXaShtfPqsc9Up0Fvl4/1bizv26n1nLEG3oJrJePVZpfVVtRP6P3o301BSWdW/F5dajqjv4YIceXG1MqatC3au5YBVo54x6T60dVvo3Lgufr2gej5AS8SkiGxGbZdaOP7OAKW+BZpEPvMUVsT9jmb1a+P1nkF4zsCmtfcj26OwuAxDO6u++wv298TLnQIwOvRxTY6jgwz1PFywbGh7nP0zHwNEXpyqey7Yt8YxdG9WD4teCkZL3zp4tsWTWprqycsL7Q1bwNPBQYZnGqu/WLo5OWLrP7qj/V9z1zwX7Iu4izl4o5fuF5nqWvvVqZHIDlPz3mvztK/+IxzruNZCtogJ759v54dfzte8SDSqq7mv255/9sTgVUfwf90bw9tdXHI7uU9zPBfsi4cl5TWeW/xyOxWvUNZcTY1Q1cuhLrVtDjKgwoj9ofb+sxd+PHUTb/VXv0q7MSTN649Lt+To1+rJ36hjtYTG003z5VTfEZZfj+uC1zec1Ou1lxYPguNfs1/v+WdPvLvjPE5l5um1rdrOqo9vuoY118b1aAoAcNVjgkipMCkim9LQU/dRMW/2bY4OjbzQuUldoyyT4eXuhPXju6l9PtDHDZP71GzCGNmtMUYavHf1xqkYoRXR1hfLhrZHu6e88JS3m95V47qq7VJLaYRRzP+FICvvkdpmBV3s/WcvxXIHLRp64EruA/wrQr9FMatf4FSZP7gNlu65BABoUOfJBW79+K7o+d/9Ncqrm8vn4xGdMCYsD6O+PKZ4bFS3QEwL1zx5Z9sAL1xbNljt85rmDpr7V/NmVQkz+6B+HRedvvuBPu74/h9h8KmtXLbq21b1PakU4OWGm/cfKX5fNqwDZv9wVuv+dBUc4InggGCdyx+c1Re3C4rxSszjJaD+qeOEqf5ebvD3Uk7A21eZnDKseT2ENa+H3IJiRSLQvVk9pfJLhrTDhI0nRM+f1L+1L06/+1yN2sHUBc9h2GeJWPhSW7WvdayyHEjbAC/89OazeHnNEZy9mS960eClf1OdPPt7qT7nRrT1xaKX1cfmJ+JcbU5MisiqvNXfeIu61nJ0QN9WhtXOmNOobsZbakYmk2GkBH2PKjk6yAxKiLzcnJTWf/rl7V54WFyudSHU5g08ULdKmbjpveHk6KDTWlLjejSFk6MDujerp3SxaVTXHRnRL9RoCqnn4YI1rz4D11qO6NmyPlz+6ljq6uSIsOb18Fr3JvjfsevYOqk7QqtdQPWxQMPFsVLVWlRdE6JKqpqo6mqpsWroqZwo6TvpY4M6LrhdUCyq+UqVJvVqo0m9J81qz7WpWTtc9T2ZFdFK7bYcHGRIWzII8qJSxRQF2998VvF8p0BvbH+zh6I2s3E9d8TN6IN7hSWI3nsJo0J1//urq2LtMG93Z8TP7KvzNirtePNZlJRXqJ8FX43AKt0TnBxl8PV0wYOiMjwlstvC1+O6oLi0wmjNm8bGpIgsXtXJGzuKmM/E0lS/0xRLnzWKjEnsApjGVJmENK3njmt3H+KrsV2UnndydICXu3KzadV5UCb3aY5Nydex4KVgeLs7Y8ZzT6NRXTe01NBsFtasHpL+uKv4vZajA8b+VQtQnbq+IS92UD9nzJLIdpjzfGtFx3t9Jc7tj7M38zAwWHsTqHMtB2yZ1B1l5YLGhEhVrY8qL3bwx5Erd9BN5yHwT96nlzsG6Lxm3+63euLQ77fxUkfjzMGTMj8ct/KLVC5FUnUwgLrPu5Krk6PG5EJVk7JPbWd8MLyj7sEamYODDK4Ohp1LZDIZjszpjwpB0Km7wsudArAy/jI6NPJC/9bSjwDWhEkRWTzfKtWsmoZCW6qNr3fDztN/YsZA/Zp2LIU51knSJnZab9zKL0KQDneZj++k+8DNyREB3m5KTUi6NJsM7fyUUlJkCoYmRAAQ4O2GABGDBKo366hSV8fm1FqODvhQwwW+z9MNsPvsLTg5Pk6G+rZqgKD6tdH+KS9RHYB9PV0xvIvxakrrebione9IJpPh4uIIlJYJRvl8zO2t/i3w85ksjNFjkeiqNVJDtEwCqS4ZqhxwMqlKrV7zBh449e5zFr88DMCkiCyAgwwI8HJFQVEZGvuovtgd//cAPCgqE9VnyFgcHWQoN6B3aJ+nG6DPX7Mci1X1LtTQjuD6mB7+ND7+7Xe9Xx/o44Yb9x6hXyv9jr9SZKenADx+P3RJiCqp6yCs02urLJKqrt+ENXDUo4avfZUa2VYGLLMzrHMjeLs7o8Nfc/u4OjkiYWYfraOu/tm/BVYlXMG2yWF67xt40qE/5v9CRL3O3bkWoP9ATUk1a+CBtCWDdB5wUpWnqxO+HNMFx/64i3+/oDx/lK6d+1ePegbvR7av0ZTto6IJ0BLJBGtYst4CyOVyeHl5IT8/H56eljsHjrUqK69AhWCZE3rlFhThw1/TMbFXM43NLaayM/VP3Lj3EFFG7E+lq4oKAT+cuonOjeuiRUPxCUaOvAj7LuZg6DNP1ZgETxc/nbqJH1JuYuPr3fQ6yRtq/o5zqO1cC/NeMM0Eg5qkXL+PpXsuYtXIZ/Tqf3X0yh3EHLyKFX/vpHNzWCVBEPDerotwdXLEnEGtJJklubisXPImYyncuPcQk/6XgtWjOqFFQ+nXfTx65Q4elZRbxMS3+hJz/WZSpCMmRURERNZHzPXb8m7LiYiIiCTApIiIiIgITIqIiIiIADApIiIiIgLApIiIiIgIAJMiIiIiIgBMioiIiIgAMCkiIiIiAsCkiIiIiAgAkyIiIiIiAEyKiIiIiAAwKSIiIiICwKSIiIiICABQS+oArIUgCAAer7ZLRERE1qHyul15HdeESZGOCgoKAACBgYESR0JERERiFRQUwMvLS2MZmaBL6kSoqKhAVlYW6tSpA5lMZtRty+VyBAYG4saNG/D09DTqti0Vj5nHbKt4zPZxzIB9Hrc1HrMgCCgoKEBAQAAcHDT3GmJNkY4cHBzQqFEjk+7D09PTar5kxsJjtg88Zvtgj8cM2OdxW9sxa6shqsSO1kRERERgUkREREQEgEmRRXBxccHChQvh4uIidShmw2O2Dzxm+2CPxwzY53Hb+jGzozURERERWFNEREREBIBJEREREREAJkVEREREAJgUEREREQFgUkREREQEgEmR5NauXYumTZvC1dUVoaGhOH78uNQhmdSiRYsgk8mUflq3bi11WEZ16NAhvPTSSwgICIBMJsOOHTuUnhcEAQsWLIC/vz/c3NwQHh6Oy5cvSxOskWg75nHjxtX43AcNGiRNsEYSHR2Nrl27ok6dOmjYsCEiIyORnp6uVKaoqAhTp05FvXr14OHhgWHDhiEnJ0eiiA2nyzH37du3xmc9efJkiSI23GeffYYOHTooZnAOCwvDL7/8onje1j5jQPsx29pnXBWTIglt3boVM2bMwMKFC3Hq1Cl07NgRERERyM3NlTo0k2rbti1u3bql+Dly5IjUIRlVYWEhOnbsiLVr16p8fvny5Vi1ahViYmKQnJyM2rVrIyIiAkVFRWaO1Hi0HTMADBo0SOlz/+6778wYofEdPHgQU6dOxbFjxxAXF4fS0lIMHDgQhYWFijLTp0/Hrl27sG3bNhw8eBBZWVkYOnSohFEbRpdjBoCJEycqfdbLly+XKGLDNWrUCMuWLUNKSgpOnjyJ/v37Y8iQIbhw4QIA2/uMAe3HDNjWZ6xEIMl069ZNmDp1quL38vJyISAgQIiOjpYwKtNauHCh0LFjR6nDMBsAwvbt2xW/V1RUCH5+fsIHH3ygeCwvL09wcXERvvvuOwkiNL7qxywIgjB27FhhyJAhksRjLrm5uQIA4eDBg4IgPP5cnZychG3btinKXLp0SQAgJCUlSRWmUVU/ZkEQhD59+ghvv/22dEGZQd26dYV169bZxWdcqfKYBcG2P2PWFEmkpKQEKSkpCA8PVzzm4OCA8PBwJCUlSRiZ6V2+fBkBAQFo1qwZRo8ejczMTKlDMpuMjAxkZ2crfe5eXl4IDQ21+c/9wIEDaNiwIVq1aoUpU6bg7t27UodkVPn5+QAAHx8fAEBKSgpKS0uVPuvWrVujcePGNvNZVz/mSps2bUL9+vXRrl07zJs3Dw8fPpQiPKMrLy/Hli1bUFhYiLCwMLv4jKsfcyVb/YxrSR2Avbpz5w7Ky8vh6+ur9Livry/S0tIkisr0QkNDsWHDBrRq1Qq3bt3Ce++9h169euH8+fOoU6eO1OGZXHZ2NgCo/Nwrn7NFgwYNwtChQxEUFISrV6/inXfewfPPP4+kpCQ4OjpKHZ7BKioqMG3aNDz77LNo164dgMeftbOzM7y9vZXK2spnreqYAeDVV19FkyZNEBAQgLNnz2LOnDlIT0/HTz/9JGG0hjl37hzCwsJQVFQEDw8PbN++HcHBwUhNTbXZz1jdMQO2+RlXYlJEZvX8888r/t+hQweEhoaiSZMm+P777zFhwgQJIyNTGjlypOL/7du3R4cOHdC8eXMcOHAAAwYMkDAy45g6dSrOnz9vc/3jNFF3zJMmTVL8v3379vD398eAAQNw9epVNG/e3NxhGkWrVq2QmpqK/Px8/PDDDxg7diwOHjwodVgmpe6Yg4ODbfIzrsTmM4nUr18fjo6ONUYp5OTkwM/PT6KozM/b2xtPP/00rly5InUoZlH52dr7596sWTPUr1/fJj73qKgo7N69G/v370ejRo0Uj/v5+aGkpAR5eXlK5W3hs1Z3zKqEhoYCgFV/1s7OzmjRogVCQkIQHR2Njh07YuXKlTb9Gas7ZlVs4TOuxKRIIs7OzggJCUF8fLzisYqKCsTHxyu129q6Bw8e4OrVq/D395c6FLMICgqCn5+f0ucul8uRnJxsV5/7zZs3cffuXav+3AVBQFRUFLZv346EhAQEBQUpPR8SEgInJyelzzo9PR2ZmZlW+1lrO2ZVUlNTAcCqP+vqKioqUFxcbJOfsTqVx6yKTX3GUvf0tmdbtmwRXFxchA0bNggXL14UJk2aJHh7ewvZ2dlSh2YyM2fOFA4cOCBkZGQIR48eFcLDw4X69esLubm5UodmNAUFBcLp06eF06dPCwCEFStWCKdPnxauX78uCIIgLFu2TPD29hZ27twpnD17VhgyZIgQFBQkPHr0SOLI9afpmAsKCoR//etfQlJSkpCRkSH89ttvQufOnYWWLVsKRUVFUoeutylTpgheXl7CgQMHhFu3bil+Hj58qCgzefJkoXHjxkJCQoJw8uRJISwsTAgLC5MwasNoO+YrV64IixcvFk6ePClkZGQIO3fuFJo1ayb07t1b4sj1N3fuXOHgwYNCRkaGcPbsWWHu3LmCTCYT9u3bJwiC7X3GgqD5mG3xM66KSZHEVq9eLTRu3FhwdnYWunXrJhw7dkzqkExqxIgRgr+/v+Ds7Cw89dRTwogRI4QrV65IHZZR7d+/XwBQ42fs2LGCIDwelv/uu+8Kvr6+gouLizBgwAAhPT1d2qANpOmYHz58KAwcOFBo0KCB4OTkJDRp0kSYOHGi1Sf/qo4XgLB+/XpFmUePHglvvvmmULduXcHd3V3429/+Jty6dUu6oA2k7ZgzMzOF3r17Cz4+PoKLi4vQokULYdasWUJ+fr60gRvg9ddfF5o0aSI4OzsLDRo0EAYMGKBIiATB9j5jQdB8zLb4GVclEwRBMF+9FBEREZFlYp8iIiIiIjApIiIiIgLApIiIiIgIAJMiIiIiIgBMioiIiIgAMCkiIiIiAsCkiIiIiAgAkyIiIiIiAEyKiIiIiAAwKSIiIiICwKSIiIiICADw/8DRoBNDBtALAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "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",
    "\n",
    "plt.plot(t,music)\n",
    "plt.title(\"Audio\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "dff89516",
   "metadata": {},
   "source": [
    "Effectuez une transformée de Fourier réelle sur le signal audio et affichez le spectre d'amplitude du résultat obtenu."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "277d7cea",
   "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",
    "# Transformée de Fourier réelle de l'audio\n",
    "M = np.fft.rfft(music) # Calcul de la FFT réelle du signal\n",
    "freq_M = np.fft.rfftfreq(len(music),1/freq_music) # Calcul de l'axe fréquentiel de la FFT\n",
    "\n",
    "amplitude_M = np.abs(M) *2/len(music) # Correction de l'amplitude avec le facteur de normalisation\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": "f4e10f15",
   "metadata": {},
   "source": [
    "Comme effectué dans l'exercice précédent, compressez votre signal en ne gardant que $K$ composantes, avec $K$ variant en puissances de 2 jusqu'à $K=N$. Calculez le rapport signal sur bruit à chacun des $K$ et tracez la courbe du rapport $S/B$ en fonction de $K$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "9d0b6190",
   "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 avec K variant en puissances de 2\n",
    "\n",
    "N = len(freq_M) # Nombre d'échantillons de fréquences\n",
    "K_values = []\n",
    "RSB_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",
    "    M_K = keep_K_freq(M,K) # On ne garde que les K fréquences les plus significatives\n",
    "    music_K = np.fft.irfft(M_K,n=len(music)) # On convertit en temporel\n",
    "    K_values.append(K)\n",
    "    RSB_values.append(rapport_sb(music,music_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": "markdown",
   "id": "709eb03f",
   "metadata": {},
   "source": [
    "Récupérez les valeurs minimums de $K$ tels que le rapport $S/B$ est supérieur ou égal à 10, 20 et 30 dB. Compressez l'audio original avec ces 3 valeurs de $K$ et enregistrez les différentes versions dans un fichier WAV."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "f6ff4dc2",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "K pour seuil de 10 dB : 2048 (0.2518547850564521% des fréquences de l'audio)\n",
      "K pour seuil de 20 dB : 131072 (16.118706243612934% des fréquences de l'audio)\n",
      "K pour seuil de 30 dB : 524288 (64.47482497445174% des fréquences de l'audio)\n"
     ]
    }
   ],
   "source": [
    "# A COMPLETER\n",
    "# Récupération des K minimums tels que le rapport S/B est supérieur ou égal à 10, 20 et 30 dB\n",
    "seuils = [10,20,30] # 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",
    "    M_K = keep_K_freq(M,K) # On ne garde que les K fréquences les plus significatives\n",
    "    music_K = np.fft.irfft(M_K) # On convertit en temporel\n",
    "    wavfile.write(f\"music_compressed_{seuil}_dB.wav\", freq_music, music_K.astype(np.int16))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6e1a77d0",
   "metadata": {},
   "source": [
    "**_QUESTION :_** Comment est la qualité sonore des différents extraits compressés ?"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "61b6dbbc",
   "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": "2035b0b1",
   "metadata": {},
   "source": [
    "**_QUESTION :_** Est-ce que les fichiers compressés ont un poids plus léger (en octets) ?"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3e9780df",
   "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": "d49b3c49",
   "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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