{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "4328121d-f777-40c8-99e2-bcebb3944d5c",
   "metadata": {},
   "source": [
    "# Numérisation d'un signal"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "08160fe7-450f-480c-92fe-e74c11f77aa3",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from scipy import signal\n",
    "from matplotlib.ticker import FixedLocator\n",
    "\n",
    "plt.rcParams['figure.figsize'] = [12, 6]  # taille de sortie du graphique (modifiable)\n",
    "plt.rcParams['axes.titlesize'] = 12       # taille caractères titre du graphique (modifiable)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e10361a9-390a-4f21-9c9e-ddaa902259a0",
   "metadata": {},
   "source": [
    "Définition des signaux usuels (à valider pour une nouvelle valeur de la fréquence)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "f0d6be7f-5133-4f11-bc88-1aecb4cc93fa",
   "metadata": {},
   "outputs": [],
   "source": [
    "f = 1                   # fréquence du signal (à modifier si besoin)\n",
    "\n",
    "def sinus(t): \n",
    "    return np.sin(2. * np.pi * f * t)\n",
    "\n",
    "def triangle(t):\n",
    "    return signal.sawtooth(2. * np.pi * f * t,0.5)\n",
    "\n",
    "def dent_scie(t):\n",
    "    return signal.sawtooth(2. * np.pi * f * t,1)\n",
    "\n",
    "def carre(t):\n",
    "    return signal.square(2. * np.pi * f * t,.5)  # modifier .5 pour changer rapport cyclique"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7a6ab4cc-658b-49ec-8abf-1de810194ed1",
   "metadata": {},
   "source": [
    "## Échantillonnage"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f4654e54-f018-4502-9e9f-0ce5bbb9bd1b",
   "metadata": {},
   "source": [
    "Procédure **sampling** qui admet pour arguments :\n",
    "\n",
    "  **s** *fonction* qui définit le signal\n",
    "\n",
    "  **F_ech** fréquence d'échantillonnage\n",
    "    \n",
    "  **T_tot** durée totale de l'échantillon\n",
    "\n",
    "La procédure retourne le graphe du signal initial et du signal échantillonné (les points de l'échantillon sont reliés par des lignes en tirets pour plus de lisibilité)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "6d424d70-74a4-49f2-a689-622583476131",
   "metadata": {},
   "outputs": [],
   "source": [
    "def sampling(s,F_ech,T_tot):\n",
    "    N = int(T_tot * F_ech)                 # nombre points échantillon\n",
    "    te = np.linspace(0., T_tot, N+1)       # liste des instants d'échantillonage\n",
    "    tp = np.linspace(0,T_tot,1000)         # abscisse du graphe du signal initial\n",
    "    plt.close()\n",
    "    plt.plot(te, s(te), 'or', markersize = 4, label = u\"Signal echantillonne\")\n",
    "    plt.plot(te, s(te), 'r--',linewidth=2)\n",
    "    plt.plot(tp, s(tp), 'b', markersize = 4, label = u\"Signal reel\")\n",
    "    plt.grid()\n",
    "    plt.xlabel(\"$t$\")\n",
    "    plt.ylabel(\"$s(t),s_n$\")\n",
    "    plt.legend(loc=\"upper right\")\n",
    "    plt.title(\"$F_\\mathrm{éch}=$\"+str(F_ech)+\" Hz\")\n",
    "    plt.show()\n",
    "    return"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6ea74b02-188f-4568-bac7-ac34b43341c4",
   "metadata": {},
   "source": [
    "## Principe de l'échantillonneur bloqueur"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2ae17d5d-f5d4-492d-9487-04932faa4391",
   "metadata": {},
   "source": [
    "La procédure **EB** fonctionne comme la procédure **sampling** (elle admet les mêmes arguments), mis retourne un signal échantillonné par paliers."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "02b8b491-8700-4cfe-9b5c-31e8f1e7dc2b",
   "metadata": {},
   "outputs": [],
   "source": [
    "def EB(s,F_ech,T_tot):\n",
    "    N = int(T_tot * F_ech)                   # nombre de points échantillon\n",
    "    T_ech = 1/F_ech\n",
    "    time_ech = [0]\n",
    "    Ueb = [s(0)]\n",
    "    for i in range(N):\n",
    "        time_ech.append(i*T_ech)\n",
    "        time_ech.append(i*T_ech)\n",
    "        Ueb.append(Ueb[-1])\n",
    "        Ueb.append(s(i*T_ech))\n",
    "    time_ech.append(N*T_ech)\n",
    "    Ueb.append(s((N-1)*T_ech))\n",
    "    tp = np.linspace(0,T_tot,1000)\n",
    "    plt.close()\n",
    "    plt.plot(time_ech,Ueb, label = u\"Signal echantillonne\")\n",
    "    plt.plot(tp,s(tp), label = u\"Signal reel\")\n",
    "    plt.xlabel(\"$t$\")\n",
    "    plt.legend(loc='upper right')\n",
    "    plt.title(\"$F_\\mathrm{éch}=$\"+str(F_ech)+\" Hz\")\n",
    "    plt.show()\n",
    "    return"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "32088ca1-9c20-4261-801e-afd1a7073013",
   "metadata": {},
   "source": [
    "## Échantillonneur bloqueur avec quantification du signal"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f22c05e2-0089-46bf-a61a-39da5748b57c",
   "metadata": {},
   "source": [
    "La procédure **EBQ** complète la précédente en ajoutant la quantification du signal échantillonné. Ses arguments sont\n",
    "\n",
    "  **s** *fonction* qui définit le signal\n",
    "\n",
    "  **F_ech** fréquence d'échantillonnage\n",
    "    \n",
    "  **T_tot** durée totale de l'échantillon\n",
    "  \n",
    "  **Cal** calibre sur lequel se fait la quantification (sur l'intervalle [-Cal,+Cal])\n",
    "  \n",
    "  **q** nombre de bits de quantification\n",
    "  \n",
    "L'intervalle [-Cal,Cal]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "cd82961e-6203-4500-a136-c51f4d41dcff",
   "metadata": {},
   "outputs": [],
   "source": [
    "def EBQ(s,F_ech,T_tot,Cal,q):\n",
    "    N = int(T_tot * F_ech)                 # nombre de points échantillon\n",
    "    T_ech = 1/F_ech\n",
    "    tp = np.linspace(0,T_tot,1000)\n",
    "    time_ech = [0]                         # abscisses du signal bloqué\n",
    "    n = 2**q                               # nombre valeurs quantifiées\n",
    "    pas = 2*Cal/(n-1)                      # pas quantification\n",
    "    valQ = [-Cal]\n",
    "    for i in range(1,n):\n",
    "        valQ.append(-Cal+i*pas)            # liste des valeurs accessibles par quantification \n",
    "    time_ech = [0]\n",
    "    Ueb = [s(0)]   \n",
    "    for i in range(N+1):                    \n",
    "        time_ech.append(i*T_ech)\n",
    "        time_ech.append(i*T_ech)\n",
    "        Ueb.append(Ueb[-1])\n",
    "        Ueb.append(s(i*T_ech))\n",
    "    UebQ = []\n",
    "    for x in Ueb:\n",
    "        indice = int((x+Cal)/pas)\n",
    "        if x < -Cal:\n",
    "            UebQ.append(-Cal)\n",
    "        elif x > Cal:\n",
    "            UebQ.append(Cal)\n",
    "        elif np.abs(x-valQ[indice]) <= pas/2:\n",
    "            UebQ.append(valQ[indice])\n",
    "        else:\n",
    "            UebQ.append(valQ[indice+1])\n",
    "    plt.close()\n",
    "    fig, ax = plt.subplots()\n",
    "    ax.grid(axis='y')\n",
    "    while len(valQ)>40:                 # pour éviter d'avoir plus de 40 valeurs de graduation en y   \n",
    "        valQ = valQ[::2]\n",
    "    major_locator = FixedLocator(valQ)\n",
    "    ax.yaxis.set_major_locator(major_locator)\n",
    "    plt.ylim(-Cal,Cal)\n",
    "    ax.plot(time_ech,UebQ, label = u\"Signal echantillonne\")\n",
    "    ax.plot(tp,s(tp), label = u\"Signal reel\")\n",
    "    plt.xlabel(\"$t$\")\n",
    "    plt.legend()\n",
    "    plt.title(\"$F_\\mathrm{éch}=$\"+str(F_ech)+\" Hz\"+\" et échantillonnage sur \"+str(q)+\" bits\")\n",
    "    plt.show()\n",
    "    return"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2b66dcfd-6d72-4186-adf1-cda7ff47f66a",
   "metadata": {},
   "source": [
    "## Exemples"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "d28574ff-09a2-480d-a9fd-1fabcce96258",
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sampling(sinus,5,2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "3effa202-3411-444a-b14f-3307a7d82938",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "EBQ(triangle,5,2,1,3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "8ff5e05e-1a87-4666-9747-98b2c0c051a3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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/z6hRoyioxv3rX//6ZMa8vDzS09NJTU1FVUlLSyMyMrLCj1leJ06cKN/zUFUr9AZcBbzs8/mNwFOF2tQGXgOWA2/iFJjpXahNXeAHoIf7eRMgFOcq++PAq6Vl6devnxpTZS14QfWR2qrb5p2y+ern5+vVz88/te2K6U7b9Z+XeMgi+xpjjL+l7lf9SyPVWfedsrnIc1DmMdW/tVKdfmOphw3EOWzt2rWVevzSzJgxQy+55JIi9w0bNkwXL16sqqovv/yyduzYUYcNG6a333673nPPPaqqOn78eL3vvvt00KBB2q5dO33//fdVVTU1NVXPO+887dOnj/bo0UM/+uijk8eNjY0t8vHefPNNHTBggPbu3Vt/+ctfam5urqqqfvHFF9qnTx/t1auXnnfeeaqq+sgjj+gtt9yiw4YN03bt2umTTz558jhjxozRvn37ardu3fSFF1445XEffvhh7dWrlyYkJOi+fft03rx5Wq9ePW3btq327t1bN23apOPHjz/5dfh+D9q0aaMHDx5UVdX//Oc/2r17d+3evbtOmjRJVVW3bt2qXbp00dtvv127deum559/vmZkZJw8zm9+8xsdMGCAduzYUX/88UdVVc3NzdUHH3xQ+/fvrz179tTnn3++yO9NUc8TYIkWMyb1xxXs4sqg+w7ijwO3AIgzkWWr++bbJkVEZgOjgNWqur9gn4i8BHzqh6zGBKe8HJj/FLRKgNZlKAncfSx895jzMmvnCys/nzHGlGTBc5CX7axwVJqo2jDgNuf8dWgTNDyr8vOV0Z8/WcPaPcf9esxuzWvzyKXdi90/cuRI/vKXv9CpUydGjBjBuHHjGDZs2Clt9uzZw2OPPcayZcuoVasW5513Hr179z65f+/evcydO5f169czevRorrzySqKiopg5cya1a9fm0KFDJCYmMnr06GLnE69bt47p06czb948wsPDufvuu5k2bRoXXnghv/jFL/jxxx9p164dR44cOdln/fr1/PDDD6SmptK5c2fuuusuwsPDefXVV6lfvz6ZmZkMGDCAK664ggYNGpCenk5iYiKPP/44v/nNb3jppZf4wx/+wOjRo7nkkku48sory/Q9Xbp0Ka+99hoLFy5EVUlISGDYsGHUq1ePjRs38s477/DSSy9x9dVXM2PGDG644QYAcnNzWbRoEZ9//jl//vOf+fbbb3nllVeoU6cOixcvJisriyFDhjBy5MhyrRhSFH/MwS6p3DkAIlLX3QdwO/Cjqh4XkUYiUtdtEw2MANa7nzfzOcTlwGo/ZDUmOK2ZCcd2OMUYynIzRWgYDL4Pdi6E7cmVHs8YY4p14jgsfgW6jS77YDnxLgiNgPlTKjdbFRAXF8fSpUt58cUXadSoEePGjeP1118/pc2iRYsYNmwY9evXJzw8nKuuuuqU/ZdddhkhISF069aN/fud65OqysMPP0yvXr0YMWIEu3fvPrmvKN999x1Lly5lwIABxMfH891337FlyxYWLFjAOeecc3LAWb9+/ZN9Lr74YiIjI2nYsCGNGzc+efwpU6bQu3dvEhMT2blzJxs3bgQgIiKCSy65BIB+/fqxbdu2M/qezZ07l8svv5zY2Fji4uIYO3Ys//3vfwFo164d8fHxRT7G2LFjT9v+9ddf88YbbxAfH09CQgKHDx8+mbciKnwFW1VzRaSg3HkozlSONQVl0lX1eaAr8IaI5AFrgdvc7s2Aqe487BCcUukFV6r/KSLxODc9bgPuqGhWY4JSQdWzRl2g06iy9+tzA8x5wrkK1KYMV72NMaYyLH0Nso45FwjKKq4x9LkefnrLKZxVq2mlxSuPkq40V6bQ0FCSkpJISkqiZ8+eTJ06lZtvvvnkfi1lWUPfOckFbadNm8bBgwdZunQp4eHhtG3btsSl5lSV8ePH8/e///2U7R9//HGxV719Hzc0NJTc3Fxmz57Nt99+S3JyMjExMSQlJZ183PDw8JPHKmh/Jkr6fhTOlJmZedo+38dWVZ566ikuuOCCM8pSHL+sg62qn6tqJ1XtoKqPu9uedwfXqGqyqnZU1S6qOlbdmxVVdaWq9lHVXqraQ1X/4nPMG1W1p7tvtKru9UdWY4LOxm/gwBpn5ZCQcvxKRsRAwp2w8SvYv6by8hljTHFysyD5WWg3DFr0LV/fwfdBfi4seLZyslURGzZsOOWK6fLly2nT5tRlWgcOHMicOXM4evQoubm5zJgxo9TjHjt2jMaNGxMeHs4PP/zA9u3bS2w/fPhwPvjgAw4cOADAkSNH2L59O4MGDWLOnDls3br15PbSHrdevXrExMSwfv16FixYUGrWWrVqletmyXPOOYePPvqIjIwM0tPTmTlzJmeffXaZ+/u64IILeO6558jJyQHg559/Jj09/YyO5csvA2xjTAXMnQS1W0KPss09O8WA2yE81ll71hhjAm3Fu5C2zymCVV7120O3y2Dxq5CZ4udgVUdaWhrjx4+nW7du9OrVi7Vr1/Loo4+e0qZFixY8/PDDJCQkMGLECLp160adOnVKPO7111/PkiVL6N+/P9OmTaNLly4ltu/WrRt//etfGTlyJL169eL8889n7969NGrUiBdffJGxY8fSu3dvxo0bV+JxRo0aRW5uLr169eKPf/wjiYmJJbYHuOaaa/jXv/5Fnz592Lx5c6nt+/bty80338zAgQNJSEjg9ttvp0+fPqX2K8rtt99Ot27d6Nu3Lz169OCOO+444yvrvqS0lx3KdBCRUTjFY0JxVhR5otD+OsBbQGucaSn/VtXXRKQzMN2naXvgT6o6WUSuAh7FmV4yUFWXlJajf//+WrBWojFVwo6F8OpIuODvMOjuIpuMe8GZYz39jmKmgXz5ECx8AR5YDnVbl6+vMcacqfw8eGYghMfAHT8Wef9IqeegvSvghXNg+CNw9q/K398P1q1bR9euXSvt+P6SlpZGXFwcubm5XH755dx6661cfvnlXseqMYp6nojIUlXtX1T7QFVyvAdYq07FxiTgPyISoaob1K3UCPQDMoCZbp/VOGtn/1jRjMYErXmTIaou9L3pzI8x6B7nD9v8p/2VyhhjSrf+Uzi8ySl+daaVEJv1hvbnOquQ5JSvFHVN8+ijjxIfH0+PHj1o164dl112mdeRTAn8sUzfyUqOACJSUMnRt/SQArXcJfrigCNA4evvw4HNqrodQFXXucfzQ0RjgtCB9bDhcxj2W4isQFWtOi2h59Ww7A3nWLEN/JfRGGOKUnBzdr120K1w8eZyGjoR3hgNK94uusS6AfBb1UQTGP6Yg11UJccWhdo8jTPVYw+wCnhAVfMLtbkGeMcPeYypGuZPgbBoGOiHBXKGPAC5mbDoxYofyxhjSrPtv7BnGQy5H0JCK3asdudA8z4wb4oz7cSYasAfV7CLusRceGL3BThVHM8DOgDfiMh/3QI0uGtkjwYeKveDW6l0UwVFnjhIwop32dN8FJsWryqxbVlLBfdoMJA6854hOb8P+aFR5eprjDHl0WvFI8SF12XBsZbkl3B+Kes5qGG9kfTY8w/WfPB3DjYeWu7+FeF1qXRTNZS3VHpAKjniVHF8wi0ruUlEtgJdgEXu/guBZb7VG8tKVV8EXgTnJsekpKTyHsKYwPvyYQBaXvl3WtZrU2LT5zY4N/kkJZVyk0+HGHjlfM6J3eoUcShPX2OMKau9K2D2chj+COecPbLEpmU+B+WfDXs/oPvRr+Gq35+c0x2Ic9i6deuoVatWpR3fVA9RUVHlWqkkIJUcgR04c6wRkSZAZ2CLz/5rsekhpqbIOAJLX4eeV0Ipg+tyaTUQWg92bnbMy/HfcY0xxtfcyRBRy7/zpUNCnalue1fAlh/8d1xjPFLhAbaq5gIFlRzX4VRjXCMidxZUcwQeAwaLyCrgO+C3qnoIQERigPOBD32PKyKXi8guYBDwmYh8VdGsxgSFxS9DTrrzx8Tfhk6E47tg1Qf+P7YxxhzZAms/ggG3QnRd/x679zUQ19QZwNcwjz/+ON27d6dXr17Ex8ezcOFCwFmjee3ataX0Lr+4uArcWF+Ctm3bcujQoUo5dlXjjykiqOrnwOeFtj3v8/EeoMjXkVQ1Azht2QNVncn/luwzpnrIzoCFz0PHC6BJJZTk7Xg+NO7uLP/Xq+RiAMYYU27zn4KQMEgset3+CgmLdOoBfPMn2L2s/JUhq6jk5GQ+/fRTli1bRmRkJIcOHSI7OxuAl19+2ZNMqoqqElKe6sLmFPadMyaQfnoLMg6fWdWzshBxjn1wvVNC3Rhj/CXtAPw0DXpfC7WaVs5j9LsFIus4FwlqiL1799KwYUMiIyMBaNiwIc2bNwcgKSmJggJ6r7zyCp06dSIpKYlf/OIX3HvvvQDcfPPN3H///QwePJj27dvzwQfOK5hpaWkMHz6cvn370rNnT2bNmlVijm3bttG1a1fuvvtu+vbty86dO/nXv/7FgAED6NWrF4888sjJtm+99RYDBw4kPj6eO+64g7w8W/2lML9cwTbGlEFejnP1p+VAaF2JNx12HwvfPeaUYOfPlfc4xpiaZcFzkJcNg++vvMeIqu1MP5k7GQ5tqrzHKc4Xv4N9Ja/sVG5Ne8KFTxS7e+TIkfzlL3+hU6dOjBgxgnHjxjFs2LBT2uzZs4fHHnuMZcuWUatWLc477zx69+59cv/evXuZO3cu69evZ/To0Vx55ZVERUUxc+ZMateuzaFDh0hMTGT06NEl1hfZsGEDr732Gs8++yxff/01GzduZNGiRagqo0eP5scff6RRo0ZMnz6defPmER4ezt133820adO46aYKFEyrhvxyBVtERonIBhHZJCK/K2J/HRH5RERWiMgaEbmlLH1F5D533xoR+ac/shrjmTUz4diOilU9K4vQMBh8L+xcSOfs1ZX3OMaYmuPEcVj8CnS9FBqeVbmPlXAXhEY4tQJqgLi4OJYuXcqLL75Io0aNGDduHK+//vopbRYtWsSwYcOoX78+4eHhXHXVVafsv+yyywgJCaFbt27s3+8syKaqPPzww/Tq1YsRI0awe/fuk/uK06ZNGxITEwH4+uuv+frrr+nTpw99+/Zl/fr1bNy4ke+++46lS5cyYMAA4uPj+e6779iyZUuJx62JKnwF26dU+vk4S/YtFpGPVdV3Vn5BqfRLRaQRsEFEpgF5xfUVkXNxKkL2UtUsEWlc0azGeKag6lmjLtBpVOU/Xp8bYc4/GJP2Pv+s36PyH88YU70tfR2yjlXe9DZftZpA/HWwfBp1G4wkJTSA1WlLuNJcmUJDQ0lKSiIpKYmePXsydepUbr755pP7nVWOi1cwvcS37bRp0zh48CBLly4lPDyctm3bcuJEyeXoY2NjTznOQw89xB13nFoM7amnnmL8+PH8/e9/L+uXVyN5XSo9oYS+d+GsnZ0FoKoH/JDVGE/M/nQaSQfW8Eyd/+PHlxaWq+/avcfp1qx2+R4wIgYG3kG/2X8je+9qxr1Qvu4FxsS34LqE1mfW2RhTLbw7fxMjv5vE7oh4/vppNpBc5r5ndP4CGHwfLJvKRekf8Yf0qxj3Qtkf01dVOIdt2LCBkJAQOnbsCMDy5ctp0+bUJVwHDhzIxIkTOXr0KLVq1WLGjBn07NmzxOMeO3aMxo0bEx4ezg8//MD27dvLleuCCy7gj3/8I9dffz1xcXHs3r2b8PBwhg8fzpgxY5g4cSKNGzfmyJEjpKamnpa5pvPHALuoUukJhdo8jbM29h6gFjBOVfNFpKS+nYCzReRx4ATwoKouLvzgVsnRVAX1f3qavVqfz7P6kJudUq6+zaOha0xauZ/bYTldGShR3BMyi3+ltCxXX4AdqfmkpKTQPNNe+jOmJtsz7zPq5x/hX9xJSkpKufqe6fkLoFvDQVxw+DNej7qQlJT8cvcv6znM60qO+/fv59e//jXHjh0jLCyM9u3bM2XKFFJTU8nLyyM9PZ3atWvzq1/9igEDBtCsWTM6d+5MdHQ0qamp5OTkkJmZecrXkJqaypgxY7j66qtP3uTYqVMn0tLSTrYr/DWnpaWRn59/cvugQYMYO3YsCQnOsCw2NpaXXnqJ9u3b8/vf/54RI0aQn59PeHg4//73v6lfvz6qSlpa2ilX1KuL8lZylNJedij1ACJXAReo6u3u5zcCA1X1Pp82VwJDgF/hlkoHeuOUUC+yr4isBr4HHgAGANOB9lpC4P79+2vB3bbGBI2di+CV85la+w7G/yrAtxJ8+RAsfAEeWA51y3cVp+CK0fQ7rAqkMTVWfh57Hu9JlkTR7vdLK/f+kcL2LIcXh8HwR+DsX5W7e1nPYevWraNr165nkjCg0tLSiIuLIzc3l8svv5xbb72Vyy+/3OtYNUZRzxMRWaqq/Ytq74+bHMtaKv1DdWwCCkqll9R3l0+fRUA+0NAPeY0JrLmTSZM4vosOwNzrwgbd4/xBTH4m8I9tjKn61n9G87zdfBQ3LrCDa4Dm8dD+XGf1kpyS5w7XBI8++ijx8fH06NGDdu3acdlll3kdyZTA61LpJfX9CDjP7dMJiACsPJCpWg6shw2f8WXsGLJCogP/+HVaQs+rYelUSD8c+Mc3xlRdqjB3EvtCm7Ewaog3GYZOhPQDsOJtbx4/iPz73/9m+fLlrF+/nilTppS43J7xnqel0ovr6/Z5FWjvThV5Fxhf0vQQY4LS/CkQFs2XsaO9yzDkAcjNhEUvepfBGFP1bPsv7FnGJ7FXohLqTYZ250DzPjBvCuRbMRNTdQRDqfTT+rrbs4Eb/JHPGE8c2wUrp0P/W0ndWce7HI27QOeLYNELMOR+iIgtvY8xxsydBLGNmRNzvncZRGDIBHh/PKydBT3GVsrDqKpdETbFOpPru1Yq3ZjKkvys8xLroHu9TuL8gco8Csve8DqJMaYq2LsCNn8PiXeSIxHeZul6KdTv4JRPr4QXsqOiojh8+PAZDaJM9aeqHD58mKioqHL188sVbBEZBTwJhAIvq+oThfb/Grje5zG7Ao1U9Yi7PxRYAuxW1Uvcbf8CLgWygc3ALaqa4o+8xlS6jCNOYYYeV0C9Npx+32+AtU6A1oNh/tMw4HYIDfc2jzEmuM2dDBG1oP9tsHadt1lCQp1X3z55ALbMhg7n+vXwLVu2ZNeuXRw8eNCvxzXVR1RUFC1blm+524BUclTVfwH/cttfCkwsGFy7HsCZg+27Gv03wEOqmisi/wAeAn5b0bzGBMTilyEnPTBVz8pq6AR4+2pY9QHEX+t1GmNMsDqyBdZ+5Lz6Fl3X6zSO3tfCD393pq34eYAdHh5Ou3bt/HpMY/wxReRkJUd33nRBNcbiXAu8U/CJiLQELgZe9m2kql+7N0ECLMBZws+Y4JedAQufh44joUl3r9P8T8eR0LgbzHsS8stftMEYU0PMfxpCwiDxbq+T/E9YJCTeBVvnwO5lXqcxplT+GGAXVY2xRVENRSQGGAXM8Nk8GfgNzjrXxbkV+KJCKY0JlJ/egozDzvJSwaTgZqGD62DjV16nMcYEo7QDzjms9zVQu5nXaU7V/1aIrOPMxTYmyPljDnZRt90Wd6fApcA8n7nXlwAHVHWpiCQVeXCR3wO5wLRi9lupdBM0JD+XhIX/Iqt2Z37akgVbZwOQkpIJ4PnzU/IbkBDZmKzP/sxPe0telztYMhtjAqfdljdpnZfNorBEMt3f/WA6F7RrMoLWaz9k0edvkxnTvMS2wZTb1Dz+GGCXpZJjgWvwmR6CUz59tIhcBEQBtUXkLVW9AUBExgOXAMOLWwNbVV8EXgSnVHpSUlIFvhRjKmjle5B1gKjLnySpy//mCT63wSnZm5QUBGXHYx8k6ovfkNQuEtoUnyeoMhtjKt+J45B8E3S9lISLrj+5OajOBf26wuRPSchdAElTSmwaVLlNjROoSo6ISB1gGDCrYJuqPqSqLVW1rdvve5/B9SicmxpHq2qGH3IaU7lUnTvvG3WBTh6URS+rPjdCTAN7mdUYc6qlr0PWseC6ObuwWk0g/jpY8Q6k7vM6jTHFClQlR4DLga9VNb2Mh34aqAV8IyLLReT50joY46mN38CBNTD4fggJ4iXmI2Jg4B3w85ewf23p7Y0x1V9uFiQ/41RObNHP6zQlG3wf5OfCgme9TmJMsfwyClDVz1W1k6p2UNXH3W3PF6rm+LqqXlPCMWYXrIHtfn6WqrZS1Xj37c7i+hoTFOZNhtotoOdVXicp3cBfQHiMs6KIMcasnA5p+5wboYNdgw7QbQwseQ1OHPM6jTFFCuLLbMZUITsXwfZ5MOgeCPO46llZxNSHfjfDqvchZYfXaYwxXsrPc/7ZbtoLOpzndZqyGTIBso7Dkle9TmJMkWyAbYw/zJ0MUXWh73ivk5TdoHucpfuSn/E6iTHGS+s/g8ObnLnXUtTCYEGoeTy0PxeSn4WcE16nMeY0fhlgi8goEdkgIptE5HfFtEly51KvEZE57rbO7raCt+MiMsHdN91n+zYRWe6PrMb43cENsOEzGPhLiIzzOk3Z1WkJPa+GZW9A+mGv0xhjvKDqTG+r1w66llQjLggNnQDpB5wbHo0JMhUeYPuUSr8Q6AZcKyLdCrWpCzyLsyJId+AqAFXdUDDHGugHZAAz3X3jfPbNAD6saFZjKsW8JyEsGhLu8DpJ+Q15AHIyYNGLXicxxnhh239h91LnxsFQf6zcG0DthkHzPjB/ijPNxZggEqhS6dcBH6rqDgBVPVDEcYYDm1V1u+9GERHgak5dP9uY4HBsl7P2dd8bIbah12nKr3EX6HwRLHoBssu6wI8xptqYOxliG0P89aU2DToF1WmPbIF1p60ObIyn/PHvalGl0hMKtekEhIvIbJyl955U1TcKtSlchKbA2cB+Vd1Y1INbJUfjpQ6bXqFlfh4LpT8nSnjuBXNFsdox59A383M2vvcndre89OT2YM5sjKm4uNQt9N/8HVva3ciOeQuKbRfU5wKtxcDo5uR98RhLD9Q9ZQ55UOc21V6gSqWH4UwBGQ5EA8kiskBVfwZwC9SMBh4q4ljXUsLVa6vkaDyTcQTmfQc9ryTxwnElNg3uimJJcPhjOh74ko7XPgGh4UCwZzbGVNgHb0BELdpf/VfaR9cttlnQnwtq/xY+eYCk1kCHpJObgz63qdb8MUWkLKXSdwFfqmq6qh4CfgR6++y/EFimqvt9O4lIGDAWmO6HnMb41+KXISfdmcdc1Q2dAMd3waoPvE5ijAmEI1tgzUzofwuUMLiuEnpdA3FNYO4kr5MYc1KgSqXPAs4WkTARicGZQrLOZ39xV6lHAOtVdZcfchrjP9kZsPB56DgSmvbwOk3FdRwJjbs5N2zm53udxhhT2eY/DSFhkHi310kqLjzK+Tq2zoE9P3mdxhggQKXSVXUd8CWwElgEvKyqqwHcAff5FL1KSHHzso3x1vJpkHG4alQ9K4uCm4UOroONX3mdxhhTmdIOwE9vQe9roHYzr9P4R/9bILK2c9OmMUHAL2vyqOrnwOeFtj1f6PN/Af8qom8G0KCY497sj3zG+FVerrMsVMuB0Gaw12n8p8dY+P4x5w9U5wu9TmOMqSwLn4e8bBhcDaa3FYiqAwNuc85fhzc75dSN8ZBVcjSmvNbMdMqLV6WqZ2URGu6shbtzAWxP9jqNMaYynDju3D/S9VJoeJbXafwr4S4IjXAugBjjMU8rObrbXxWRAyKyulD7x0RkpdvnaxFp7o+sxlRIQdWzhp2hUzW8ytvnBoiu73yNxpjqZ+nrcOKYc4GguqnVBOKvg+VvQ+o+r9OYGs7TSo6u14FRRRz6X6ray63k+Cnwp4pmNabCNn0L+1c7K4eEVMMXgCJiIeFO+PlLWuVs8zqNMcafcrNgwbPQ7hxo0c/rNJVj8H2QnwsLnvM6ianhPK/kqKo/AkcKH1RVj/t8Gsvpa2sbE3hzJ0HtFtDzqtLbVlUDfwHhMYxOf9/rJMYYf1o5HVL3Vp+bs4vSoAN0GwNLXiU636rTGu8EUyXH04jI48BNwDHgXD9kNeaMff3lx4zcPo+ptX7J568sLVfftXuP061Z7UpK5mcx9aHfzQxe8AJ/zRzLuBfO/FBj4ltwXUJr/2UzxpyRdxZs5Zxv/kF2WAd+9200fFf2+yyq1PkLnH8g1szk/IzPeCJ1FONeOLN7Suz8ZSoiKCo5FkdVfw/8XkQewlkK8JHTHtxKpZsAiVv0JCkay4c5gzmRklKuvs2joWtMWpV5fkbSl4HAXaGf8HzKzWd0jB2p+aSkpNA8c4tfsxljym/j/Dlcm7eLv4XfT8qxY+XqW9XOXwC96sUz5viHvBOVREpK+df2t/OXqSh/DLDLWsnxkKqmA+kiUlDJscQBto+3gc8oYoBtpdJNQBzcALOX8EGt65j14OVepwmMzO+5fO1HXH7vsxBb5EqaJSq4amRlio3xmCot5v2GfaHNePh3j/BwqF9W6A1urf8Mb4zh0wuPOGtkl5Odv0xFBUslx9OISEefT0cD6/2Q1ZgzM28KWUTyZcxor5MEzpAHICcDFr3odRJjTEVs+y8dczbwSeyVUBMG1wDthkGzeGfJvvw8r9OYGigYKjm+AyQDnUVkl4jc5h76CRFZLSIrgZFANVoR31Qpx3bDyun8EHMBqaF1vU4TOI27OEsRLnoBsu1mIWOqrLmTSQmpy5yYEV4nCRwRGDoRjmyBdYWv+RlT+YKhkuO1xRzzCn9kM6bCFjwLms+nsWO9ThJ4QyfCqyNh2RuQeJfXaYwx5bV3BWz+ji9q3UyORHqdJrC6Xgr1OzjVHbtdVr0Kg5mgVw0X8jXGjzKOwJLXoMcVHAxr6nWawGudAK0HQfIzkJfjdRpjTHnNexIiavF1zCVeJwm8kFAYcj/sXQ5bZnudxtQwNsA2piSLX4GcdGc+ck01dCIc2wmrZ3idxBhTHke2wpqZ0P8WMkLivE7jjV7XQFwTq05rAi4gpdLdMunH3LLny0XkT4X2h4rITyLyqc+2eBFZ4LZfIiID/ZHVmDLLzoCFz0HHkdC0h9dpvNNxJDTu5rzMml/+5a6MMR6Z/xSEhEHi3V4n8U54lPP1b5kNe37yOo2pQQJSKt31X1WNd9/+UmjfA5y+qsg/gT+7pdL/5H5uTOAsnwYZh6t31bOyEHG+BwfXwcavvU5jjCmLtAPOOaz3NVC7mddpvNX/Fois7VwkMCZAAlUqvVgi0hK4GHi50C4FCkpH1eH0tbWNqTx5uc7yTi0HQpvBXqfxXo+xUKeVUyreGBP8Fj4PuVkwuAZPbysQVQcG3AZrZ8HhzV6nMTVEoEqlAwwSkRU4A+UHVXWNu30y8BucEuq+JgBfici/cf4RKHKUY5UcTWVovH8O3VJ2sKrlDRyeMweAlJRMgBr7HGvRaBQdN73ETx89y7G6Rb1Idaqa/v0yxiuhuRkkLnielIaJrFm9C9hV438fI/J6kyhh7PvgIX7uXPqUmZr+/TIVF6hS6cuANqqaJiIXAR/hFKe5BDigqktFJKlQn7uAiao6Q0SuBl4BTlvE0yo5Gr9Thed/Dw0703PsryHEeaHnuQ01vLJX9gCYNIM+GXPgstL/QNX475cxXpk3BXLTaXT54yS16AfY7yMA2bNpvvxtml83BWqVvCqUfb9MRfljikippdJV9biqprkffw6Ei0hDYAgwWkS24UwtOU9E3nK7jQc+dD9+H2cqijGVb9O3sH+1s3JIiC20c1JELCTcAT9/CfvXep3GGFOU3Cxn7f62Z4M7uDauwfdDfi4seM7rJKYGCEipdBFpKuKs8O6uBhICHFbVh1S1paq2dft9r6o3uN32AMPcj88DNvohqzGlmzsZareAnld5nST4DPwlhMc4a+saY4LPyumQutdZXtOcqkEH6DoalrwKJ455ncZUcwEplQ5cCax252BPAa5R1cLTSAr7BfAft8/fcOdZG1Opdi6G7XNh0D0QFuF1muATUx/6jofVH0DKztLbG2MCJz/fmR7StBd0OM/rNMFp6ATIOu4Mso2pRAEpla6qTwNPl3KM2cBsn8/nAvb6lgmseZMhqq4ziDRFG3QPLH7Jqe544RNepzHGFNjwGRzeCFe+amXBi9O8D7RPcqaJJNzlrJNtTCWwCabGFDi4AdZ/6kyDiKyhVc/Kom4rZ/rMsqlOKXljjPdUnWU067WFrmVeKbdmGjoR0vbDine8TmKqsYBUcvRpN0BE8kTkSp9tE0VkjYisFpF3RCSqUJ8HRUTdmyKNqTzzpkBYtHMjnynZkAcgJwMWveh1EmMMwLa5sHupcyNfqF9enK6+2g2DZvFOrYP8PK/TmGoqYJUc3Xb/wJmrXbCtBXA/0F9VewChODc7FuxvBZwP7KhoTmNKdGy3c3NQ3xsh1v6XK1XjrtDpQqeYRXa612mMMXMnQWwjiL/O6yTBT8S5in1kC6z7uPT2xpyBQFZyvA+YARwotD0MiBaRMCCGU5f4m4RThKa0GyKNqZgFz4Lmw6B7vU5SdQydCJlHYdmbXicxpmbbuxI2fweJd0F4tNdpqoaul0L9Ds6qUaWuuWBM+fljgF1UJccWvg3cK9WXA8/7blfV3cC/ca5Q7wWOqerXbp/RwG5VXeGHjMYUL+MILH3dKQder43XaaqO1gnQehAkPw15OV6nMabmmjcZImpB/9u8TlJ1hITC4Ptg73LYOsfrNKYaClQlx8nAb1U1T3zubBaRejhXu9sBKcD7InIDToGZ3wMjS31wK5VuKqjNtvdol53G4sihpJfw/LHSuaerX2cEvXY8xrr3/8r+pueess++X8ZUvqjMfSSsnsnOVmPYsnB5se3s9/F0IXktSIioR/onf2Jl77+css++X6ai/DHALrWSI9AfeNcdXDcELhKRXCAc2KqqBwFE5ENgMLACZ9C9wu3TElgmIgNVdZ/vga1UuqmQ7AxYdBucdT4DLrm5xKZWOrcIOgz2z6Dr4a/oevUjp1S+tO+XMQHw6a8gNIzWV/2d1rWbFdvMfh+LEfkAkd8+SlKnOs4Sfi77fpmKCkglR1Vtp6pt3YqNHwB3q+pHOFNDEkUkxq30OBxYp6qrVLWxT59dQN/Cg2tjKmz5NMg4ZFXPzpSIs6LIwXWw8Wuv0xhTs6QddM5hvcZBCYNrU4L+t0JkbWcutjF+FKhKjsX1XYgz4F4GrHLz2LpfJjDycp1lmloOgDaDvU5TdfW4Auq0cuaBGmMCZ+HzkJvl/JNrzkxUHWeQve5jOLzZ6zSmGvHLOtiq+rmqdlLVDqr6uLvted9qjj5tb1bVD3w+f0RVu6hqD1W9UVWziujTVlUP+SOrMSetmQkpO5yr11b17MyFhjurr+xIhh0LvE5jTM2QlepUVO16CTTs6HWaqi3xLggJdy64GOMnVsnR1EyqzhXXhp2d9ZxNxfS9EaLr28usxgTK0tfhxDEYYtPbKqxWU4i/Fpa/Dak2E9X4hw2wTc206VvYv9p5aTXEfg0qLCLWqYD58xewf63XaYyp3nKzIPkZaHs2tOzndZrqYfD9kJ8LC57zOompJoKhVPqrInJARFYXattbRJJFZJWIfCIitf2R1RjAudJauwX0vMrrJNXHwF9CeIy9zGpMZVv5HqTutZuz/alBB+g6Gpa86rwyYEwFeVoq3fU6MKqIQ78M/E5VewIzgV9XNKsxAOxcDNvnQuLdEBbhdZrqI6Y+9B0Pq96HlJ2ltzfGlF9+Psx7Epr2gg7neZ2mehk6AbKOw5LXvE5iqgF/rIN9slQ6gIgUlEov/DpxQan0Ab4bVfVHEWlbxHE7Az+6H3+DMzD/ox/ymhrq7YU7mLV8N/935C90kzjuWdGVE6uSy9x/7d7jdGtmL6SUaNA9zo1Xyc8AY1i79zjjXij799jXmPgWXJfQ2r/5jKnC3l64gz0L3uPBoxuZXPchkl8s+03Fdv4qg+Z9oH0SLHiW8Lg+rNh3ws5f5oz5Y4BdVKn0BN8GPqXSz6PQALsEq4HRwCzgKk4tZuN7bKvkaMpk6sJMwlJ3MjBsPtPCLmff8Wwgu8z9m0dD15g0e46Vokujs2m0+FX6th5ISnQ0KSkp5T7GjtR8UlJSaJ65xf8Bjamipi7I4J+Zb7MnpDFfnehBflZKmfva+ats6sWdS+8ts7k6+jMORp9r5y9zxjwtlV6KW4EpIvInnMI1RY6ErJKjKavnNiRzJ69CTjTXT/w318c29DpS9dStCTybyG/b/sxvby72lowSFVw1sipqxvzPnJXP0/vEZrjoP3wx4BKv41RPOgwOzmR01jeM/vXfISS03Iew85cB/9zkWJ5S6duAK4FnReSykg6qqutVdaSq9gPeAWwFeFMh9fMOcnbm99DnBrDBdeVp3NVZ+nDhC5Cd7nUaY6qN0envkxJSF+Kv9zpK9SXizMU+sgXWfeJ1GlOFeV0qvVgi0th9HwL8ATitaI0x5XFx+kyEfBh8r9dRqr+hEyDzCCx70+skxlQPe1fSJ2sJX8ReBuHRXqep3rqOhvrtYe4kp2aCMWfA01LpACLyDpAMdBaRXSJym7vrWhH5GViPc0Xcbus1Zy7jCMMzviA5ahjUa+t1muqvdSK0HgTJT0NejtdpjKn65j1JhsTwdYxNDal0IaHOuth7l8PWOV6nMVWUP+Zgo6qfA58X2lbkFWdVvbnQ59cW0+5J4El/5DOGxa8QrZnMiruKoV5nqSmGTIB3xsHqGdD7Gq/TGFN1HdkKaz7k25jLyQiJ8zpNzdD7Wpj9d+cqdvskr9OYKshK2JnqLycTFj7PT5ED2BHe3us0NUfHkdC4m1PUJz/f6zTGVF3JT0NIGJ/HjvU6Sc0RHgWJd8GW2bDnJ6/TmCooIJUcRWSMiKwUkeUiskREhvrs2+ZWa1wuIkt8tj8qIrvd7ctF5CJ/ZDU10E9vQcYhZsVa1caACglxStEfXAcbv/Y6jTFVU9pB5xzWaxxHQxt4naZm6X8rRNZ2CvsYU06BquT4HdBbVeNxlt97udD+c1U1XlX7F9o+yd0e705DMaZ88nKd0t0tB7AuoqfXaWqeHldAnVYwb7LXSYypmhY+D7lZzj+rJrCi6jiD7LWz4LAtZGbKxx9XsE9WclTVbKCgkuNJqpqmevJW3FhOXyfbmMqx9iNI2eHMBy77GuzGX0LDYdC9sCMZdpS96pwxBshKdSqjdr0EGnb0Ok3NlHgXhITB/Ke8TmKqGH8MsIuq5NiicCMRuVxE1gOf4VzFLqDA1yKy1K3K6Oted2rJqyJSzw9ZTU2i6sz/bdgJOtsMI8/0vRGi6zs/C2NM2S19HU4cgyETvU5Sc9VqCvHXwfK3IXW/12lMFRKoSo6o6kxgpoicAzwGjHB3DVHVPe6619+IyHpV/RF4zm2n7vv/cOrA3HlwK5VuilH/8DJ67V/F+s73se/HH0lJyQSw54gH2jS5gHY/v8PiT6eSHtem1Pb2szI1neTnkLjg/5FRtycrNqXCptn2e+GR6NAEBuZNZcf7D7G1/U2ltrefkwH/DLDLUsnxJFX9UUQ6iEhDVT2kqnvc7QdEZCbOlJMfVfXkv4oi8hLwaTHHs1Lppmiv/QtqNafLVX+iS1gEz22w8rWeyegFk2YxICcZksaX2tx+VqbGW/YmZB8h8uqXSDorCbDfC0+lfUWbzd/Q5rpJztzsEtjPyUCAKjmKyFkizgRYEekLRACHRSRWRGq522OBkcBq9/NmPoe4vGC7MWWyczFsnwuD7oGwCK/TmJj60Hc8rHofUnaW3t6Ymiw/31m5omlP6DDc6zQGnOq0WcdhidW8M2UTqEqOVwCrRWQ5zooj49ybHpsAc0VkBbAI+ExVv3T7/NNdvm8lcC5gk9BM2c2bDFF1oV/pV0tNgAy6x3mf/Iy3OYwJdhs+g8Mb7ebsYNK8j1NwZsGzkHPC6zSmCghIJUdV/QfwjyL6bQF6F3PMG/2RzdRAB3+G9Z/BOQ9CZC2v05gCdVtBz6tg2VQY9hvnqrYx5lSqTvXAem2h22VepzG+hkyANy+Dle9Cv5s9DmOCnVVyNNXP/CchLBIG3uF1ElPYkAcgJwMWveh1EmOC07a5sHspDL4PQv1yDcz4S/skaNYb5k2B/Dyv05ggZwNsU70c2w0rpkOfGyGukddpTGGNu0KnC2HhC5Cd7nUaY4LPvMkQ2wjir/c6iSlMBIZOhCObYd0nXqcxQS5QpdKvd9ezXiki80Wkt8++B0RktYisEZEJPtvri8g3IrLRfW/rYJvSLXgWNB8G3+t1ElOcoRMg84izSoIx5n/2roRN30LCnRAe7XUaU5Suo6F+e+cfIbWaeaZ4gSqVvhUYpqq9cNa0ftHt2wP4Bc7SfL2BS0SkoFzV74DvVLUjTqn10wbuxpwi86hTmKHHWGf+oglOrROhVSIkPw15OV6nMSZ4zHsSIuJgwG1eJzHFCQmFwffDnp9g6xyv05ggFqhS6fNV9aj76QKctbIBugILVDXDXY1kDs6SfLjHmOp+PBW4zA9ZTXW2+GXITnPm+ZrgNnQiHNsJq2d4ncSY4HBkK6z5EPrfAtH2gm1Q630txDa26rSmRP64g6KoUukJJbS/DfjC/Xg18LiINAAygYuAJe6+Jqq6F0BV97qVHk9jlRwNQEheFokLniK1fj9WrT8M62ef1saqawURjWBATGv067+x5EiT05Yis5+VqWk6/vw8zQhhgfYhu5jnvf1eBI9WTUbRYcsbLPnkZdJqnXXKPvs5GQhgqXQAETkXZ4A9FEBV14nIP4BvgDRgBZBbnge3So4GgEUvQc4xGoz+C0lthxbZxKprBZn6v4eZd5DUIhs6XXDKLvtZmRol7SDM/QHir2XwBVcU28x+L4LIiT4w6SP6n5gLl95+yi77ORnwzxSRMpVKF5FewMvAGFU9XLBdVV9R1b6qeg5wBNjo7tpfUM3RfX/AD1lNdZSXC/OnQMsB0GaI12lMWfW4Auq0ctb8NaYmW/g85GbZ9LaqJKoO9L8V1s6Cw5u9TmOCUKBKpbcGPgRuVNWfC+1r7NNmLPCOu+tjoKAM33hglh+ymupo7UeQssOqnlU1oeEw6F7YkQw7FnidxhhvZKXC4peg6yXQsGPp7U3wSLwLQsJg/lNeJzFBKFCl0v8ENACeFZHlIrLE5xAzRGQt8Alwj8/NkE8A54vIRuB893NjTqXq3GjSsBN0vsjrNKa8+t4I0fXtZiFTcy19HU4cgyETvU5iyqtWU4i/Dpa/Dan7vU5jgkygSqXfDtxeuJ+77+xith8Ghvsjn6nGNn0H+1fBmGcgxOomVTkRsZBwB8z+OxxY5xSiMaamyM2C5Geg7dnQsp/XacyZGHw/LJ0KC5+DEY96ncYEERuRmKpt3mSo1Rx6Xu11EnOmBv4SwmOcNYCNqUlWvgepe53iS6ZqatABuo2Gxa84r0QY4/K0kqOItBKRH0RknVvJ8YFC/e5zj7tGRP7pj6ymGtm1BLb9FwbdA2ERXqcxZyqmPvQdD6veh5Sdpbc3pjrIz3f+qWzaEzrYi7VV2pAJkHUclrzmdRITRDyt5IizJN//qWpXIBG4p6Cvu6TfGKCXqnYH/l3RrKaamTvJuZO73/jS25rgNuge533yM97mMCZQNnwGhzfazdnVQYu+0G4YLHgWck54ncYECU8rOarqXlVd5n6cinOTZAu33V3AE6qa5e63ZfrM/xz8GdZ/5kwviKzldRpTUXVbQY8rYdlUyDjidRpjKlfBzdl120C3y7xOY/xh6ERI2w8r3/U6iQkSXldyPElE2gJ9gIXupk7A2SLyOHACeFBVF/shr6nC3l64g1nLd3NHyv9jKOHcs74fxzcml6nv2r3H6dasdiUnNGdsyAPOH6dFLwHnsHbvcca9ULafbWFj4ltwXUJr/+YzpoIKzl9ds1by6JElvFz7Xr55uex/1uwcFsTaJ0Gz3jBvChIxhTX70u38VcN5WsnRZ3scMAOYoKrHfbLVw5k6MgB4T0Taq6oW6mul0muQqQszyUo9yNlh3/FF6HB2pAKklKlv82joGpNmz5Eg1qPBAOrMfYperbqREh1GSkpKuY+xIzWflJQUmmdu8X9AYypg6sJMdqTm82DENI5Sh1nZA8nOSSlzfzuHBbdG9S6g+9p/MrbJ9xyNHmDnrxrOHwPs8lZyvNC3kqOIhOMMrqep6oeFjvuhO6BeJCL5QEPgoO9xrVR6zfLchmRuCHmf8AwYfe+/GF2vrdeRjD+1j4JXL+D3Xfbw+/F3nNEhCq4aWZliE2ye25BM79gtDDi0As77I5+cM6b0TqbqyD8bnv6Aq0O/5+rf/PGM5tbb+av68LSSo4gI8AqwTlX/X6HjfgSc57brBEQAh/yQ11RhsfmpjMj4HHqMBRtcVz+tE6FVolMZLS/H6zTG+N3otPcgIg4G3OZ1FONvIaHOuth7foKtP3qdxnjM60qOQ4AbgfPc7ctFpKAc36tAexFZjXPj5PjC00NMzTMy/VOiNdOZr2uqp6ET4dhOWP1h6W2NqUIa5+5l8Ikfof8tEF3P6zimMvS+FmIbO6tcmRrN00qOqjqXoudw465IcoM/8plqIieTCzM+4qfI/vRp2tPrNKaydBwJjbo6RYR6XW1LmJlq45L0GeQTQkji3V5HMZUlPAoS74Lv/gx7lkPzeK8TGY9YJUdTdfz0FnXyjzEr1qo2VmshIU5luwNrYePXXqcxxj/SDnJuxtf8GD0cajf3Oo2pTANug8jazkUCU2PZANtUDXm5MP8pNoZ3YV2EXb2u9npcAXVa2cuspvpY+Dxh5PBx3JVeJzGVLaqOMw1o7Sw4vNnrNMYjgSqV3kVEkkUkS0QeLLSvroh8ICLr3ZLpg9ztV7kl0vNFpL8/cpoqbO1HkLKdj+JsykCNEBruVHfckQw7FnidxpiKyUqFxS+xJHIQe8Nald7eVH2Jd0NImHPDtqmRAlUq/QhwP0WXO38S+FJVuwC9cW6UBFgNjAXsVtyarqDqWcNOLI1M9DqNCZS+Nzk3gs2d7HUSYypm6etw4hiz4mx6W41Rq6lzw+PytyF1v9dpjAcCVSr9gFuF8ZR1t0SkNnAOzlJ9qGq2qqa4H69T1Q1+yGequk3fwf5VMOQBVGxWU40REQsD74Cfv4AD60pvb0wwys2G5Geh7dlsiujidRoTSEMegLxsWPic10mMB7wole6rPU7hmNdEpDewFHhAVdPL+uBWybH66738EWIiGrDgaJOTlbHs51wzhOd0JzEkkoMzHmZ917ItzZiSkgnYc8QEh6Z7v6VL6h5WtPsFKRtTAHtu1iTdGg2ifvKLJDOQvLCYUtvb+av6CGip9GIevy9wn6ouFJEngd8Bfyzrg1slx2pu1xKYvRpGPs6wwefz7EarclXj5N1C08Uv0/TaKVC39Pmrz22w54gJEvn58MyD0LQnvS+fSN0XnfsJ7LlZg3SsDS+dy9nRG8tUv8HOX9WHP15vL1Op9BL67lLVhe7nH+AMuI1xzJ3k3JHdb7zXSYxXBt3jvF/wrLc5jCmvDZ/D4Y0wZILdnF1TtegL7YY504Rys7xOYwIoIKXSi6Oq+4CdItLZ3TQcWOuHTKY6OPgzrP8MBvwCImt5ncZ4pW5r6HGlc6NYxhGv0xhTNqrOBYK6baDbZV6nMV4aOgHS9sGKd71OYgIoIKXSRaSpiOwCfgX8QUR2uTc4AtwHTBORlUA88De3z+Vun0HAZyLyVUWzmipm/pMQFgkJd3qdxHhtyAOQkwGLXvI6iTFls30e7F4CQ+6HUL8UTTZVVftzoVlvmPck5Od5ncYESKBKpe/DmTpSVN/lwGnrXKvqTGCmP/KZKuj4Hlgx3ZkaEtfI6zTGa026QadRsPB5GHyvs8KIMcFs7iSIbQTx13udxHhNxJkm9MEtsP5T6Dam1C6m6rM1z0xwSn4GNB8G3+d1EhMshkyAzCPw01teJzGmZPtWwaZvIeEOCI/2Oo0JBt3GQL12zj9eWtZ1IExVFqhKjiIiU9z9K0Wkr8++B0RktVu1cYLP9ukistx92yYiy/2R1VQBmUed+bbdL4d6bb1OY4JFm0HQKtGpjJaXU3p7Y7wydzJExMGA271OYoJFSKgzXWjPT7DV6ufVBIGq5Hgh0NF9+yXwnNu3B/ALnGI1vYFLRKQjgKqOU9V4VY0HZgAfVjSrqSIWvwzZac6NIcb4GjoBju2E1XY6MEHq6DZY8yH0u9mpRGpMgd7XQWxj5yq2qfYCUsnR/fwNdSwA6opIM6ArsEBVM9ybJecAl/t2FBEBrgbe8UNWE+xyMmHB83DWCGja0+s0Jth0vAAadYV5k+1lVhOc5j8NEvq/5SWNKRAeBYl3wZYfYM9yr9OYSuaPAXZRlRxblLHNauAcEWkgIjHARZy6pjbA2cB+Vd3oh6wm2C2fBhmHYOhEr5OYYBQS4qwocmAtbPza6zTGnCrtIPz0JvQeB7Wbe53GBKMBt0FkbWdFEVOtBaqSY5FtVHWdiPwD+AZIA1YAuYXaXUsJV6+tVHr1Ifl5DFz0T3JqdWLZ1hzYNvu0NlZG1kh+IxIiG3Lis0dZvifytP32HDFeabt1Gm1ys1gcNoiMIp5/9tw0AO0bj6DVmo9YGDeSE9HNTtlnz5Hqwx8D7LJUciy2jaq+ArwCICJ/c9vifh4GjAX6FffgViq9Gln1AZzYT/SY/5DU9dwim1gZWQNAzINEffk7ktpHQ+uEU3bZc8R4IisVFtwEXS5m4MU3FNnEnpsGgH5dYPKnJOYtgqRT52Pbc6T6CFQlx4+Bm9zVRBKBY6q6F0BEGrvvW+MMpn2vVo8A1qvqLkz1purced+gI3S+2Os0Jtj1vcm5gWzeZK+TGONYOhVOHLPpbaZ0tZpC72vhp2mQut/rNKaSBKSSI04Rmi3AJuAl4G6fQ8wQkbXAJ8A9qnrUZ9812M2NNcPm72D/Kmd+bYgtz25KERELA++ADZ/DgXVepzE1XW62s3Z/27Oh5Wl104w53eD7IS/bKZ5lqqVAVXJUoMhbqlX17BKOe7M/8pkqYO5kqNUcel3tdRJTVQz8JcyfAvOmwOXPeZ3G1GSr3oPUPTDmKa+TmKqi4VnQbTQsfsV51SOqtteJjJ/ZpULjvV1LYNt/YdDdEHb6TWvGFCm2gTNVZNV7kLKz9PbGVIb8fOcCQdOe0GG412lMVTJkAmQdg6WveZ3EVAIbYBvvzZ0EUXWcwgzGlMege5z5+wue9TqJqak2fA6HNzqDJSlqwSxjitGiL7QbBsnPQm6W12mMn3laKl1EokRkkYiscEul/9mnz79EZL3bfqaI1PVHVhNkDm2E9Z/BgF9AZC2v05iqpm5r6HmVc4NZxhGv05iaRtW5QFC3DXS7zOs0pioaOgHS9sGKd71OYvzM01LpQBZwnqr2BuKBUe4qI+Csjd1DVXsBPwMPVTSrCULznnSmhSTcWXpbY4oy5AHISYdFL3mdxNQ02+fB7iUw+D4I9cstTaamaX8uNOvt3E+Sn+d1GuNHnpZKdz9Pc9uEu28KoKpfuyuUACzAWTvbVCfH9zj/tfe5AeIaeZ3GVFVNukGnUc7d+NnpXqcxNcncyRDT0DmHGXMmRJzpRYc3wfpPvU5j/Mgf/3IXVQY9oQxtWgB73SvgS4GzgGdUdWERj3ErML2oB7dKjlVX+82v0So/j4UhAzhRxp+bVbkyRakTM4w+mV+y8b1HSElxbjSz54ipTLFpWxmw6Ru2tLueHfOK+rN1Ojt/mSJpHRKimpLzxWOk5PwFROw5Ug14WiodQFXzgHh3jvVMEemhqqtPdhT5PU759GlFPbhVcqyiMo/C/G+hx1gSL7ymzN2sypUpWhIcnkXHg1/RoM4Y8iTMniOmcs14CyLiaH/147SPrlemLnb+MsWq9VuiP53IkPrbWRMZb8+RasAfU0QqVCq9gKqmALOBUQXbRGQ8cAlwvbuWtqkuFr8C2WnO/Flj/GHoBDi2g0GZc7xOYqq7o9tg9Qxn5aMyDq6NKVHv6yC2MWPS3vM6ifETT0uli0ijgtVBRCQatzS6+/ko4LfAaFXN8ENOEyxyMmHBc3DWCGjWy+s0prroeAE06sqY9Ped1R2MqSzznwYJdZaJNMYfwqMg8S56Zy+jXc5Gr9MYP/C6VHoz4AcRWYkzUP9GVQtm+T8N1AK+EZHlImL1RKuL5dMg45BzY4cx/hISAkMeoHXuNvpkLfI6jamu0g7CT29C73FQu7nXaUx10v9WMiSG0WkfeJ3E+IGnpdJVdSXQp5hjnuWPbCbI5OU6pa1b9Ie2Q71OY6qbnldy6OM/OlexmeB1GlMdLXrBKQoy2Ka3GT+Lrss3MRdzafoMOLIF6rf3OpGpAKvkaAJr7UeQst2ZL2tVz4y/hYbzadwVdM1eDTvKtrKDMWWWleqst97lYmjUyes0phr6PPYy8giF+U95HcVUkA2wTeCowrzJ0KAjdL7Y6zSmmvo+ehSpUst5rhnjT0unwokUGDrR6ySmmkoJbcCc6BHw0zRIO+B1HFMBFRpgi0h9EflGRDa674u8nbq4Uuoi8phbCn25iHwtIs3d7eeLyFIRWeW+P68iOU2Q2Pwd7FvlrBwSYv/bmcqRFRLFl7GjYcPncGC913FMdZGbDcnPQNuzoWV/r9OYauzTuCsgL9tZDMBUWRUd5fwO+E5VOwLfuZ+fopRS6v9S1V6qGg98CvzJ3X4IuFRVewLjgTcrmNMEg7mToVYz6HW110lMNfdV7GgIi4Z5T3odxVQXq96D1D12c7apdHvDWkLXS53lbE8c9zqOOUMVvclxDJDkfjwVZx3r3xZqc7KUOoCIFJRSX6uqvs+cWP5XfOYnn+1rgCgRiVTVrArmNV7ZtRS2/RdG/pW3l+5n1vLdZ3SYtXuP061ZbT+HM9XNwv3C5zEjGbliOvfvvZDDoY3K3HdMfAuuS2hdielMlZOf7/yz1qQnbx/uyKzvk8/oMHb+MmWxdu9xHs4ezt+yPuatZx7lk7irytXfzmHBoaID7CaquhfAXde6cRFtSiylLiKPAzcBx4Bzi+h/BfBTcYNrK5VeNXRf/QR1w2JZkNGBqUvXsCM1n9a1yv8CSvNo6BqTZj9nU6yuMTmkROfzTt4ILuATRhx+mxcixpep747UfFJSUmieuaWSU5qqpOHBBfQ49DNru/4fU+estfOXqTQF56+lGU34KaQ7F6Z+yLs5SeRIeJn62zkseJQ6wBaRb4GmRez6fRkfo8RS6qr6e+D3IvIQznraj/g8dnfgH8DI4g5updKrgEMbYfYCOPv/OHv4RdTdnEzdujD9DisFa/wvyfeTD+cxdt0njL3vWYipX2rfcS9YKWtTiCq8/BjUbUO3Kx+m7suL7fxlKk2S7yebI+HNy/n0/KPQr2wXCewcFjxK/RdcVUeoao8i3mYB+0WkGYD7vqhbXstSSh3gbZyr1bjHawnMBG5S1c1l/5JM0Jn3JIRFQsKdpbc1xp+GPAA56c7Sasacie3zYPcSGHwfhPqldIQxZdP+XGjaC+ZPgfw8r9OYcqroTY4f49yEiPt+VhFtii2lLiIdfdqN5n9l0usCnwEPqeq8CmY0Xjq+B1a8C31ugLiyz4M1xi+adHNKqC98HrLTvU5jqqK5kyGmoXMOMyaQRJwlIQ9vgvWflt7eBJWKDrCfAM4XkY3A+e7niEhzEfkcii+lXtBfRFa7pdJHAgWlse4FzgL+6C7ht7yY+d0m2C14FjQPBt3rdRJTUw2dCJlH4Ke3vE5iqpp9q2DTN5B4J4RHe53G1ETdxkC9ds4/eqqlNjfBo0Kvd6nqYWB4Edv3ABf5fH5aKXV3+xWFt7nb/wr8tSLZTBDIPApLXoPuY6F+O6/TmJqqzSBolQDzn4b+t0Jo2W4WMoZ5T0JEHAy43eskpqYKCYUh98OnE52VuNqd43UiU0ZW7cNUnsWvQHaaMw/WGC8NnQjHdsCamV4nMVXF0W2w+kPodzNEF1lDzZjA6H0dxDaGuZO8TmLKwetKjr1FJNmt2PiJiNR2t1/vMzVkuYjki0h8RbKaAMvJdOa9njUCmvXyOo2p6TpeAI262MuspuzmPw0SAoPu8TqJqenCoyDxLtj8Pexd4XUaU0ZeV3J8GfidW7FxJvBrAFWdpqrxboXHG4Ftqrq8gllNIC2fBukHreqZCQ4hIc5z8cAa2PiN12lMsEs7CD+9Cb3HQe3mXqcxxpneFlHLuUhgqoSKDrDH4FRwxH1/WRFtTlZyVNVsoKCSI0Bn4Ef342/wWabPx7XAOxXMaQIpLxfmPwUt+kHboV6nMcbR80qo3dJeZjWlW/QC5GbBYJveZoJEdF3ofwus/QiOWBGZqqCiA+xTKjkCZa3k2ML9eDXO8nwAV3HqetkFxmED7Kpl7UfO/MWhE51lhowJBqHhMPhe2DEfdiz0Oo0JVlmpzrrpXS6GRp28TmPM/yTeDSFhzgUsE/S8ruR4KzBFRP6EszZ2dqHHTgAyVHV1CfmsVHowUaXf0r8SGt2CRftiYf/s05qkpGQC2M/KBFxIXjsGhdXi2Kw/sLrn6acwe26aljtncdaJFJbGnENqEc8De44YL3VqPIymS98kOWIYORF1T9tvz8/gUeoAW1VHFLdPRPaLSDNV3XsmlRxVdT1uGXQR6QRcXKjvNZRy9dpKpQeZTd/CnK0w+mmS+p5XZJPnNlgpV+OhkLtpOOcfJHVrCo27nLLLnps1XG42PHkXtBlKv9F3FNnEniPGUz1awtP9GRKyApIeOW23PT+Dh9eVHBu770OAPwDPF3Ryt12FM2fbVBVzJ0OtZtDraq+TGFO0gXdAWLSzxrExvla9B6l7nOltxgSjhmdB10udZXBPHPc6jSmB15UcrxWRn3FKpO8BXvM59jnALlW12fxVxa6lzkL4g+6BsEiv0xhTtNgG0PcmZzB1bJfXaUywyM93/ulq0hPOOq1+mjHBY+gEyDoGS1/3OokpQYUG2Kp6WFWHq2pH9/0Rd/seVT2lkqOqdlLVDqr6uM/2J93tnVT1d6r/W6BWVWeramJF8pkAmzcJouo4hRmMCWaD73XWw05+1uskJlj8/AUc+tkZvNjN2SaYtejnVHRMfsZZ7cYEJavkaPzj0EZY9ykM+AVE1vI6jTElq9vaWbZv6euQccTrNMZrqs7yjXXbQLfLvE5jTOmGToS0fbByutdJTDFsgG38Y96TzrSQhDu9TmJM2Qx5AHLSYfHLXicxXts+H3YthsH3QWip9/4b473250LTXs7f3vw8r9OYIgSqVPqrInJARE5bbk9E7nPLqK8RkX+62xqIyA8ikiYiT1ckowmA43tgxbsQfz3ENfI6jTFl06S7U0J94fOQneF1GuOluZMgpiH0ucHrJMaUjYgznenwJlj/mddpTBEqvVS663VgVOGNInIuTlXHXqraHfi3u+sE8EfgwQrmM4Gw4FnQPOfqjzFVydCJkHEYfnrL6yTGK/tWw6ZvIPFOCI/2Oo0xZdd1DNRr5/yD+L9b2EyQCESpdFT1R6CoiY53AU+oapbb7oD7Pl1V5+IMtE0wyzwKS16D7pdD/XZepzGmfNoMglYJTmW0vByv0xgvzJsMEXEw4HavkxhTPqFhzoWtPcucFbxMUKnoZLNTSqUXrGtdDp2As0XkcZzB9IOqurg8B7BKjt5qvf192mensSRyKGll/N5bpSkTTBrUGUHPnY+z9oPHSUlJAOy5WVNEZe4nYdUMdrUczeaFK8rUx85fJpiE5LUiMbwuaR//kZW9/2zPzyASiFLppT1+PSARGAC8JyLtfZfrK41VcvRQTiYsvh06DKf/pbeWuZtVmjJBJf8c2D+Dboe/pm6dkSBiz82a4rMHISSUVlf/nVa1m5epi52/TNCJuJ/63/2FpM71eG6DU4PCnp/eK3WKiKqOUNUeRbzNAva7JdIpoVR6SXYBH6pjEZAPNCzvF2E8svxtSD9oVc9M1RYS4qwocmAN8VnlegHNVGXph5y5973GQRkH18YEpf63QUQtq04bZAJRKr0kHwHnAYhIJyACOFTBTCYQ8nJh/hRnwfu2Q71OY0zF9LgSardkTPr7XicxgbLwBcg9AUPu9zqJMRUTXRf63wJrZtIkd4/XaYyr0kulu5+/AyQDnUVkl4jc5u56FWjvLt/3LjC+YHqIiGwD/h9ws9unWwWzGn9aNwuObnOuXlvVM1PVhUXAoHvolr2KjtlrvU5jKltWGix6EbpcDI06e53GmIpLvBtCwrgk/UOvkxhXhW5yVNXDwPAitu8BfEulX1tM/2ygyIVHVbVtRbKZSlRQ9axBR+h8sddpjPGPvjeR+vXfGJP2PnBbqc1NFbZsKpxIgSETvE5ijH/Ubga9ryFp2Tt8EHe912kMVsnRnInN38O+Vc5LqyH2FDLVRGQcX8WOZkBWMhxY73UaU1lys2H+09BmKLQa4HUaY/xn8AOEkcuo9PLO1jWVodIrOYpIK7cq4zq3WuMDPvv+JSLrRWSliMwUkbo++3qJSLLbZ5WIRFUkq/GjuZOgVjPn5iBjqpEvY0eTRaRzf4Gpnla9D6l77OZsU/00PItFUUO4IOMTOHHc6zQ1XiAqOeYC/6eqXXGW47vHZz71N0APVe0F/Aw8BCAiYcBbwJ1uhcckwKpABINdS50F7RPvhrBIr9MY41epIXX4PuYCWDkdju3yOo7xt/x8p7BMk55w1mmzG42p8j6OvYpYTYelr3sdpcar9EqOqrpXVZe5H6cC64AW7udfq2qu23QB0NL9eCSwUlVXuO0Oq2peBbMaf5g3CaLqQL+bvU5iTKX4NPYK5z6D5Ge9jmL87ecv4NDPMHSC3ZxtqqXNEZ1ZFREPyc9AbpbXcWq0gFZyFJG2QB9gYRG7bwWmux93AlREvgIaAe+q6j8rmNVU1KGNsO5TOPtXvL0ihVnL15zRYdbuPU63ZrX9HM4Y//jxYDQ/Rg9j4MJXuHtrEukhtcrcd0x8C65LaF2J6cwZK7g5u24b3knry0cvJJ/RYez8ZYLdU9kX82L24zz/1N/4IWZUufraOcx/AlbJUUTigBnABFU9Xmjf73GmkkzzyTUUp7pjBvCdiCxV1e+KOK6VSg+QThuepklIOAvyejF19hp2pObTulb5XwRpHg1dY9LsZ2WCTteYHFKi85mWP4pz9HuGHX6Pt8OvKFPfHan5pKSk0DxzSyWnNGeiTsoa+uxazM8df8nrP26w85eplrrG5JAc1YONWW25+Ph7zMoaSL6U7Xlu5zD/KnWAraojitsnIvtFpJl79brYSo4iEo4zuJ6mqh8W2jceuAQY7lMifRcwR1UPuW0+B/rizPMunM9KpQfC8b3w3znQ90aGjLyMuluTqVsXpt9h5VhN9ZHk+8m07xi/+3vGT5gCETGl9h33gpXQDmpvPQ0xDel01Z+p+9oKO3+Zaimp4IPVmfDBrXwxOg+6lW05XTuH+VelV3IUEQFeAdap6v8rtG8U8FtgtKpm+Oz6CuglIjHuDY/DAKv+4KUFz0J+Lgy+z+skxgTG0AmQcdgpp22qtn2rYdM3kHBnmf5ZMqbK6zoG6rVzbuo9ee3SBFIgKjkOAW4EzhOR5e5bQRGap4FawDfu9ucBVPUoThXHxcByYJmqflbBrOZMZabAkteg++VQv53XaYwJjNaDoFUCzH8K8mwRoypt3pMQEQcDb/c6iTGBERrmXBDb7a78ZQKu0is5qupcoMjbtVX1rBKO/RbOUn3Ga0tegexUGPJA6W2NqS5EnEp/714La2ZCr6u9TmTOxNHtsHoGJN4F0aeVajCm+oq/Dmb/HeZOhnbneJ2mxrEyfKZkOZmw4DnoMBya9fY6jTGB1WkUNOri/IGyl1mrpuSnQUKctfuNqUnCo51/LDd/B3tXeJ2mxrEBtinZ8rch/aAzH9WYmiYkxHnl5sAa2PiN12lMeaUfgmVvOlVn67TwOo0xgdf/Noio5UyTMgHldan03m459FUi8omI1PbZ95CIbBKRDSJyQUVymjOUl+uUjG7RD9qe7XUaY7zR40qo3dK5WchULQtfgNwTMOR+r5MY443outD/Fmea2xFbfi+QvC6V/jLwO1XtCcwEfg3g7r8G6A6MAp4VkdAKZjXltW4WHN3mzEO1qmempgqLgEH3wPZ5sHOR12lMWWWlwaIXocvF0Kiz12mM8U7i3RASBvOf9jpJjeJpqXSgM/Cj+/E3QEFFhzE41RuzVHUrsAkYWMGspjxUnXmnDTpCl0u8TmOMt/reBFF1nd8JUzUsmwonUpwLBMbUZLWbQe9rYPk0SCuyXImpBF6XSl8NjMZZP/sqoJW7vQWwwKfrLv43KC98TKvkWAnqHfmJ3vtWsr7zvez78cfT9qekZALY99vUGG2bXEDbDdNZ9NkbZMSeXkrYfieCh+TnkLjgP2TW6cHyzemwefYp++1nZWqa6LBEBua+yY73HmJr+xuLbGO/F/7ldan0W4EpIvInnKI12QXNizhEkbfwWyXHSjL1P1CrGV2u+hNdwiJP2/3cBqv4ZGqYAT1h0scMzFkASTedttt+J4LIT9Mg+zCRV71AUsek03bbz8rUSKlf0mbrN7S5bhJE1T5tt/1e+FepU0RUdYSq9ijibRaw3y2RzpmUSlfV9ao6UlX7Ae8Am91du/jf1WyAlsCeM/kCzRnYvRS2/ujM2ypicG1MjRTbwJkqsvI9OLbL6zSmOPn5zooJTXrAWSO8TmNM8Bg6AU4cg6Wve52kRvC6VHpj930I8AfgeZ/jXiMikSLSDugI2N1FgTJ3MkTWgX43e53EmOAy6B7QfEh+1uskpjg/fwGHNtjN2cYUVrAi2IJnITfL6zTVntel0q8VkZ+B9ThXqF8DUNU1wHvAWuBL4B5VzatgVlMWhzbCuk+cksJFvIRkTI1Wrw30vNK5ApRxxOs0pjBVmDsJ6raG7pd7ncaY4DN0IqTuhZXTvU5S7XldKv1JoMjVz1X1ceDxiuQzZ2D+FAiNgIQ7vU5iTHAa8oDzx2nxyzDsN16nMb62z4ddi+Gif0NoRe/hN6Ya6nAeNO0F86ZA/PUQYisgVxar5Gj+5/heWPEu9LkB4kpcEMaYmqtJd+h4ASx8HrIzvE5jfM2bDDENnYGDMeZ0Is5c7MMbYf1nXqep1gJRyTFKRBaJyAq3kuOfffY9KiK7C08dEZG2IpLps/35wsc1lWDBs5CfC4Pv8zqJMcFt6ATIOAw/veV1ElNg32rY+LXz6ltEjNdpjAleXcdAvbbOP6Ra5AJtxg8CUckxCzhPVXsD8cAoEUn02T9JVePdt899tm/22W7zFSpbZgosec2Zt1i/nddpjAlurQdBqwSY/xTk5XidxoCzckhEnHP/iDGmeKFhMPh+Z8WwbXO9TlNtBaKSo6pqmvtpuPtm/zIFmyWvQHaqM7/UGFMyEWeVimM7YM1Mr9OYo9th9Qxn5aPo015INcYUFn8dxDZybgo2laKiA+xTKjkCRU7cFZFQEVmOs072N6q60Gf3vSKyUkReLTTFpJ2I/CQic0Tk7ArmNCXJyYQFz0OH4dCst9dpjKkaOo2CRl2cK6f2Mqu3kp8GCXHW7jfGlC48GhLvgs3fwd6VXqeplgJSydFdYi9eROoCM0Wkh6quBp4DHsO5ov0Y8B+c6o57gdaqelhE+gEfiUh3nwqQvvmsVHoFNd/9BZ3SD7A8LomUMn7/rKSqMdCkwQV0Xf8kKz/8f6SkdAPsdyLQwrOPkbjkdQ40PocNP20ENpbax85fxkBYTmcSQ6M5PPNh1nV70H4v/KzUAbaqFlsKS0T2i0gzVd1bUiVHn2OliMhsYBSwWlX3+xzrJeBTt10WztxtVHWpiGwGOgFLijimlUqviLxcePoBaNGP+MvuK3NhBiupagyQOximfECv499Rt+5gwH4nAu77xyE/m2ZX/J1mjTqXqYudv4xx6S9okvw0TXo9xXMb9gH2e+Evgajk2Mi9co2IRAMjcArLFJRXL3A5sNqnT6j7cXucSo5bKpjVFGXdLDi6zaqeGXMmwiJg0L2wfR4ds9d6nabmyUqDRS9Cl0ugjINrY4yPxLshJMy5Ydv4VSAqOTYDfhCRlcBinDnYn7r7/ikiq9x95wIT3e3nACtFZAXwAXCnqlrZNH9TdcqiNzgLulzsdRpjqqa+N0FUXcakve91kppn2VQ4keJcIDDGlF/tZtBrHCyfRp28o16nqVYCUclxJdCnmP43FrN9BjCjItlMGWz+HvathNFPWTUnY85UZBwk3MGAOf+gRc4OwF5eDYjcbEh+BtoMhVYDvE5jTNU15AH46S1Gpc9ieu2bvU5TbVglx5ps3mSo5f73aow5cwPvIItIRqfbVeyAWfU+HN/tFP0xxpy5hh2h6yWMzPiUqHyrTusvNsCuqXYvha0/OvOvwiK9TmNM1RbbgO9jLmBo5g9wbJfXaaq//HxnecQmPeCsYu/DN8aU1ZCJxGkaIzK+8DpJtVHppdJ92oa661p/6rPtKrd8er6I9PfZHiEir7nzs1eISFJFcpoizJ0MkXWcwgzGmAr7LHYsQj4kP+t1lOrv5y/g0Aa7OdsYf2nZj9URvbk4/UPIzfI6TbUQiFLpBR4A1hXathoYC/xYaPsvAFS1J87Nk/8REbva7i+HNsG6T5ySwlG1vU5jTLVwMKwp86OGwdLXIcPuya40BTdn120N3S/3Oo0x1casuKupn38YVr7ndZRqoUI3OeKUSk9yP54KzAZ+W7iRiLQELgYeB35VsF1V17n7C3fphjNgR1UPiEgK0B9YVMG8BmD+k+SFhHPXhv4c25R8RodYu/c43ZrZ4NwYX5NOXMzZ/MD0Zx/hw1rXlbv/mPgWXJfQuhKSVSM7kmHXIhZ3e5h/v7z4jA5h5y9jTrcyoi9raUedz57g/xa1R8t5XdPOX6eq6AD7lFLpIlJkqXRgMvAboFYZj7sCGCMi7wKtgH7u+9MG2FbJsXwisg6T+NPbfB5yLv/do7SulXJGx2keDV1j0uz7bYyra0wOydEtWZjVhwvSZjItdzhZUvb7G3ak5pOSkkLzTFvyvyQ9V/6FWuG1eWxLZzamHaF1rfK/uGnnL2NO1zU2h4/CL+XhnCl0PfIt80MHlrmvnb9OV+ml0kXkEuCAW5ExqYy5XgW64lRu3A7MB3KLamiVHMvp6z8C+Xxd/zp6hdVn+h22pJgx/pBU8MH2OvDahXx83kEY+Isy9x/3glUXLNW+1TB7KZz7B6LXN6FXPewcZoyfJAHknQtPf8wjMXPg9j+V+R4HO3+drtR//VV1hKr2KOJtFrC/oBpjCaXShwCjRWQb8C5wnoi8Vcpj5qrqRFWNV9UxQF1gY/m+NHOazBRY8hp0u4wDYc1KbW6MOQOtB0HLgTB/CuQVeV3AnKl5T0J4LAy4zeskxlRPoWEw+D5npbFtc71OU6VVeql0VX1IVVuqalvgGuB7Vb2hpIOKSIyIxLofnw/kqqrVIa6oJa9AdqqtG2tMZRKBoRMhZQesmel1murj6HZYPQP63wIx9b1OY0z1FX89xDaCuZO8TlKlBaJUerFE5HIR2YVT+uwzEfnK3dUYWCYi63Bumiyy4qMph5wTsOB56HAeNOvtdRpjqrdOo6BRF6eYk6rXaaqH5KdBQpy1+40xlSc8GhLuhM3fwd6VXqepsio0wFbVw6o6XFU7uu+PuNv3qOpFRbSfraqX+Hw+0726HamqTVT1Anf7NlXtrKpd3Skq2yuS0wAr3ob0A86VNWNM5QoJccoP718Nm771Ok3Vl34Ilr3pVJ2t08LrNMZUfwNuh4hazrQsc0ZsbemaID8P5k2B5n2h7dlepzGmZuhxJdRuYS+z+sPCFyA3E4bc73USY2qG6LrQ/2ZY8yEc2ep1mirJ60qO8SKyQESWi8gSERlYqE9rEUkTkQcrkrPGWzsLjm51rl5b1TNjAiMsAgbdA9vnwU5bwv+MZaXBoheh88XQqLPXaYypORLvgZAwZ3qWKTevKzn+E/izqsYDf3I/9zUJ+KKCGWs2VecKWoOzoMvFXqcxpmbpOx6i6jqVB82ZWTYVTqTY9DZjAq12M2da1k9vQdpBr9NUORUdYI/BqeCI+/6yohr5VHJ8udAuBQrKadUB9vj0uQzYAqypYMaabcsPsG+lMx80JNTrNMbULJFxMPCXsOEzOLjB6zRVT242JD8DbYZAqwFepzGm5hnyAORmwcLnvU5S5VR0gH1KJUec1T+KMhmnkmN+oe0TgH+JyE7g38BDAO4Sfb8F/lzBfGbuJKjl/hdqjAm8hDsgLNq5D8KUz+oP4Phuu3ptjFcadoSul8DilyAr1es0VYrXlRzvAiaq6gwRuRp4BRiBM7CepKppUsqcYSuVXrxaxzfSb+uPbG4/np1zk0/Zl5KSCWDfL2MC4Kwm59F8xbssjDqXrKiGRbax38lCNJ8Bix9HY9uyZFcY7J59ym77fhkTGLWiz6HfiU/Y9N4f2dXqsiLb2O/j6UQrsEariGwAklR1r1vJcbaqdi7U5u8461jnAlE4U0I+VNUbROQYUFdVVZyR9DFVrS0i/wVauYeoi3Pl+0+qWuJM+/79++uSJUvO+OupdqbfCFvmwMTVEFX7lF0FZU2tzLAxAXB0O0zpA4l3wQWPF9nEficLWf85vHstjH0Zel112m77fhkTQK9fAoc3wQMrICzytN019fdRRJaqav+i9nldyXEPMMz9+DzccuiqeraqtnX7TAb+Vtrg2hRyaBOs+8QpKVxocG2MCbB6baDHFbDkNcg44nWa4Fdwc3bd1tD9cq/TGGOGToDUvbDyPa+TVBmeVnIEfgH8R0RWAH/Dneph/GD+FAiNcK6YGWO8N3QC5KTD4le8ThL8diTDrkUw+H4ILXUmozGmsnUYDk17OoVn8gvfTmeKUqEzl6oeBoYXsX0PUGQlR2C2z+dzgX6lPMajFclYI6XugxXvQJ8bIK64+06NMQHVpDt0HAkLn3PWx46I8TpR8Jo7CWIaQPz1XicxxoBTQ2PIBJhxm7MqUtdLvU4U9KySY3W04FnIz4XB93mdxBjja8gEyDgMy6d5nSR47VsNG7+GhDvtnxBjgkm3y6BeW+cf4Arcv1dT2AC7uslMgcWvOr8I9dt7ncYY46vNYGg50JnClZfrdZrgNO9JCI+FAbd7ncQY4ys0zLlwt3spbJvrdZqgF5BS6SKyTURWFZREL2L/gyKiItLQ/TxcRKa6fdaJyEMVyVmjLHkVslOd+Z7GmOAi4vxupuyANTO9ThN8jm6H1TOg380QU9/rNMaYwuKvh9hGMG+y10mCXiBLpZ+rqvGFlzMRkVY4N0ju8Nl8FRCpqj1x5mjfISJtK5i1+ss5AQuegw7nQbPeXqcxxhSl04XQsLPzB8peZj1V8jMgIc4cdWNM8AmPdqZvbfoW9q70Ok1QC0ip9FJMwqny6PuXRoFYEQkDooFs4PiZx6whVrwN6QeceZ7GmOAUEuKUH96/2vkjZRzph2DZG9DraqjTwus0xpjiDLgNIuKc6VymWBVd/+iUUukiUtySFQp8LSIKvKCqLwKIyGhgt6quKFSx8QOcwfteIAan2mORi8daJUeX5pGw8B/k1OrIsu35sGN2ic2t6pIx3pH8xiRENuDEp4+yvE84YL+Tbbe+TdvcTBaFDyKjDN+Dmv79MsZL7ZuMoNXqD1kYez4nopva72MRKr1UumuIqu5xB+DfiMh6YIl7jJFFtB8I5AHNgXrAf0XkW1XdUrihO1h/EZxKjklJSeWIVY2s/hBO7CN69D9J6nZuqc2f2+BUXUpKqllVl4wJGtH/R9RXD5PUIRZaDajZv5NZabBgPHS+mIEX31imLjX6+2WM1/p2gsmfkZi/GJL+Y7+PRSh1ioiqjlDVHkW8zQL2uyXScd8fKOYYe9z3B4CZOAPoDkA7YIWIbANaAstEpClwHfClqua4feYBRZaiNDjzOOdNhgZnQZdLvE5jjCmLvuMhqq7dLATO1JATKTB0otdJjDFlUbs59L4GfnoL0g56nSYoVXqpdBGJFZFaBR/jXLFeraqrVLWxT0n0XUBfVd2Hc8PjeeKIBRKB9RXMWn1t+QH2rnCqnoWEep3GGFMWkXEw8Jew/lM4uMHrNN7JzYbkp6HNEGg1wOs0xpiyGvIA5GbBwue9ThKUAlEqvQkw1y2Hvgj4TFW/LOW4zwBxwGpgMfCaqtrtqsWZOxnimjr/TRpjqo6EOyAsGuZN8TqJd1Z/AMd329VrY6qahh2h6yWw+CWi8jO8ThN0Kr1UujtvutQ149yr2AUfp+Es1WdKs3sZbJ0D5/8FwiK9TmOMKY/YhtD3RljyGvUbXsCR0EZeJwqs/HznAkGTHnDWCK/TGGPKa8hEWPcJI8K/4NO4K7xOE1SskmNVN28yRNaBfrd4ncQYcyYG3Quaz8XpNbDwzM9fwqENzkvNp64kZYypClr2g7Znc3H6h4RpttdpgkqgKjnWFZEPRGS9W5lxkLv9KhFZIyL5ItLfp/1At+rjchFZISKXVyRntXVoE6z92FmTMqq212mMMWeiXhvocQXDM74gNj/V6zSBowpzJ0Hd1tB9rNdpjDFnaugE6ucfZmjmD14nCSqBquT4JM6qIF1wpousc7evBsYCPxZqvxror6rxwCjgBbfojPE1fwqERkDiXV4nMcZUxJAHiNZMLkj/xOskgbMjGXYtgkH3Qaid3o2psjoMZ2tYB0anve9M+zJAACo5ikht4BzgFQBVzVbVFPfjdap62u3zqpqhqrnup1GcWuXRAKTugxXvQJ/rIa64+j7GmCqhaQ+WRQ5gVMYsyK4hNwvNnQwxDaDPDV4nMcZUhAgfx11Fi7xdsOEzr9MEjUBUcmwPHAReE5HewFLgAVVNL+nAIpIAvAq0AW70GXAbgAXPkp+Xy4TtQ9n/QnK5u6/de5xuzWxaiTHB4uPYq3n0yK955enH+Dp2dLn7j4lvwXUJrSshWSXYvwY2fsXKjvfw+GsrzugQdg4zJngsiDqbK3iVzA//yh8aNCj3PRVV6vxVRoGo5BgG9AXuU9WFIvIkzlSSP5bUSVUXAt1FpCswVUS+UNUTReSrcaXSQ3PTGbTgJeaGJvDN3iha10op9zGaR0PXmLQa8f0ypkqo25a1KR25OPV9PsgeQr6UfU37Han5pKSk0DzztGK3QanLukk0ConiLzv7sCbtCK1rlf/FVDuHGRM8OsfmMDP8Eu7LeZVWR5JZFdqtzH2r2vmrrEodYKtqsWsnich+EWnmXr0urpLjLmCXO2AG+IDi52oX9fjrRCQd6IFTXr3w/ppXKv2//w/yMvii4fX0Cq/P9DusNKkxVV0SwPocePc6vrgoE3qVfaXScS9UoTLFR7fDnP9Cwp2Ebm9Jr3rYOcyYKi4JIGcoTP6EfzebDzf8X5n7VqnzVzlUeiVHtzLjThHp7G4aDqwt6aAi0q7gpkYRaQN0BrZVMGv1kHMCFjwHHc5jW/hZXqcxxvhTpwuhYWdn+U2tpreeJD8DEgKD7vE6iTHGn8KjIeFO2PQt7FvldRrPBaKSI8B9wDQRWQnEA39z210uIruAQcBnIvKV234osEJElgMzgbtV9VAFs1YPK96G9AMwZILXSYwx/hYS4qwJvX+180equkk/BMvegF5XQ50WXqcxxvjbgNsgIs65ibmGq9AAW1UPq+pwVe3ovj/ibt+jqhf5tFuuqv1VtZeqXqaqR93tM1W1papGqmoTVb3A3f6mqnZX1XhV7auqH1UkZ7WRn+eUVG7eF9qd43UaY0xl6HkV1G5RPf9ALXoRcjOdfyKMMdVPdD3ofwus+RCObPU6jaeskmNVsnYWHN0KQydY1TNjqquwCGf6xPa5sHOx12n8JysNFr4AnS+GRp1Lb2+MqZoS7wYJheSnvU7iKRtgVxWqzrzM+h2gyyVepzHGVKa+4yGqrvM7X10sewNOpDgXCIwx1Vft5tB7HPz0FqQd9DqNZ7wulT7dpyT6NnfONSJyvc/25W4p9fiKZK3ytvwAe1c4L62GlH35LmNMFRQZBwN/Ces/hYOn1eKqenKznZsb2wyBVgO9TmOMqWyDH4DcLFj4vNdJPONpqXRVHefOs44HZgAfutun+Wy/EdimqssrmLVqmzsZ4ppC72u8TmKMCYSEOyAs2rnvoqpb/QEc32U3ZxtTUzTqBF0uhsUvQVaq12k84WmpdJ82AlwNvFPEY1xbzPaaY/cy2DoHBt0NYZFepzHGBEJsQ+h7I6ycDsd2e53mzOXnw7wnoXF36Hi+12mMMYEydCKcOAZLp5bethoKllLpZwP7VXVjEf3H4Qzki1QTKjl2W/MP6ofGkpzZkTyfry8lJROgWn7NxhiIkv4k5L/MrvcfYvNZtxbbLpjPBQ0OLaTnwfWs7TqRA3PmnLIvmHMbYyqud90exMz+fyw40RkNCS+yTXU9DwRLqfQir1KLSAKQoaqrizt4ta/keHgzzE6GoRM5e8RFp+x6bkP1rH5kjPGR8S2tNnxOq+smQ0z9IpsE7blAFV55HOq2ptuVf6Bb6Kl/coI2tzHGP1r+Gd66gmH19kOfG4psUl3PA6VOEVHVEarao4i3WcB+t0Q65SyV3rdgp1uxcSwwvYi+11DTp4fMexJCIyDxLq+TGGO8MOQByE6Dxa94naT8diTDrkUw6D4IregLpsaYKqfDcGja07mPLD/f6zQBFQyl0kcA61V1l28/EQkBrgLerWDGqit1H6x4B/pcD3FFzb4xxlR7TXvAWec7d+NnZ3idpnzmToaYBsVeuTLGVHMizs3NhzfChs9LbV6deFoq3VXcVepzcK58b6lgxqprwbOQnwuD7/M6iTHGS0MnQsYhWD7N6yRlt38NbPwKEu6EiBiv0xhjvNLtMqjbBuZOcqaN1RAVes1OVQ/jXJEuvH0PcEqpdKB/Mce4uZjts4HEiuSr0k4cgyWvOU/M+u29TmOM8VKbwdByAMyfAv1uqRrTLeY9CeGxMOB2r5MYY7wUGgZD7ofP/g+2z4O2Q71OFBBWyTFYLX4Fso5b1TNjjPMy69CJkLID1n7kdZrSpeyAVR9Av5uLvTHTGFODxF8PsY2cq9g1RKVXchSRzoWqMh4XkQmF2jwoIioiDd3PzxeRpSKyyn1/XkVyVjk5J2DBc9D+XGjW2+s0xphg0OlCaNjZmdcc7C+zzn/a+adg0N1eJzHGBIPwaKd41qZvYd8qr9MERKVXclTVDT5VGfsBGcDMgv0i0gpn/vYOn26HgEtVtSfOzZNvVjBn1bLiHUg/4FyxMsYYgJAQZ0WR/atg03depyle+mFY9gb0Ggd1WnqdxhgTLAbcDhFxzvSxGqDSKzkWMhzYrKrbfbZNAn4DnLwko6o/ufO4AdYAUSJSM0oY5uc58yyb94F253idxhgTTHpeBbVbBPfLrItegNxM558BY4wpEF3PmTa2egYc3eZ1mkpX0QH2KZUcgdLWkjtlxRARGQ3sVtUVJfS5AvhJVbMqmLVqWPcxHNniXL0W8TqNMSaYhEXAoHtg+1zYudjrNKfLSoNFL0Lni6FR59LbG2NqlkH3gIQ608iquUBUciw4TgQwGnjI/TzGPcbIEvp0B/5RSpvqUypdlX5LHyM0ujmL9sfBgdklNq+u5UWNMcULzW1PYlgcKbN+z5oeDwPBcy5oufNjzso8yrKYczhehizBktsYEzidGw+j8dKpLAgfSk5E3Wp7Hih1gK2qI4rbJyL7RaSZqu4toZJjgQuBZaq63/28A9AOWCHOldqWwDIRGaiq+0SkJc5c7ZtUdXMJ+apPqfTNP8CczXDpFJL6nbb64Wmqa3lRY0wpQu6m0Y//JKl7M2jUOTjOBbnZMOUeaDOEvmPuLFOXoMhtjAms7s3hmYEMCVsNSX+otueBSq/k6ONafKaHqOoqVW2sqm1VtS1OSfW+7uC6LvAZ8JCqzqtgxqpj7iSIawq9r/E6iTEmmCXcAWHRMG+K10n+Z/UHcHyXU7XNGGOK06gTdLnYmU6Wlep1mkoTkEqO7nSQ84EPy3jce4GzgD/6LO9XvWuF714GW+c4y1qF1Yz7OY0xZyi2oVN+fOV0OLbb6zSQn++sDNC4O3Q83+s0xphgN3SiU1Bv6dTS21ZRFRpgq+phVR2uqh3d90fc7XtU1beSY4aqNlDVYyUcq62qHnI//quqxhYs7+e+lTT9pOqbNxki6zhV2owxpjSD7wXNhwXPep3EKYl+cL1TGMtuzjbGlKZlf2h7NiQ/Q6jmeJ2mUlglx2BweDOs/RgG3ApRtb1OY4ypCuq1hR5jYenrxOZ7/DLr3ElQpzV0H+ttDmNM1TFkAqTu4ezMH7xOUilsgB0M5k+B0AhIuMvrJMaYqmTIBMhOY2T6p95l2J4MOxfC4PsgtNT75o0xxnHWcGjSk9Fp7yOa73Uav6v0Uuluu4kiskZEVovIOyISVVp/EeklIsluv1UFfaqd1H2w/G2Ivw5qNfE6jTGmKmnaA846nwszPiLcq1IBcydBTANnTrgxxpSVCAydQIu8nfTLWuB1Gr+r9FLpItICuB/or6o9gFCcgjPF9heRMOAt4E5V7Q4kAdVzks6C5yA/17n6Y4wx5TV0InXyj3FuxteBf+z9a5z51wl3QkRM4B/fGFO1dbuM/aFNuSztPVAtvX0VUtHX88bgDH7BKZU+G/htMY8TLSI5QAxQUAa9uP4jgZUFFR5V9XAFcwanE8fIXvgySyKH8uQHByh5GfHTrd17nG7NbM62MTVam8H8HN6FC46/x7XPX0S+hJb7EGPiW3BdQuty99s66280kyjuXhtP+vrkcve3c5gxNVxoGJ/GXsFtx5/h0adeZF1kr3If4kzPX5WtogPsU0qlF7WUnqruFpF/AzuATOBrVf26lP6dABWRr4BGwLuq+s+iAlTlSo6tdsygQ24a/zlxAWmSUu7+zaOha0xalfqajTH+t7fBaK7d9096Hf6S2WFDytV3R2o+KSkpNM/cUq5+kScOMHDP57yZfwG7j+cBKeXqD3YOM8bA3gaDSTn+JhelvE1yZPkGymd6/gqESi+V7s6rHoNTtTEFeF9EblDVt0rJNRQYAGQA34nIUlX9rnDDKlvJMecELP4FKyL6EtasH1/dUb0qGBljAuicc+DZWTwUOpuH7nysXEvljXvhDKuoff4bchEWNb2Or+6+sHx9jTHGlQTw4zoGfv9XvhrfEpr2LHPfMz5/BUCpc7BVdYSq9ijibRaw3y2RTgml0kcAW1X1oKrm4BSbGezuK67/LmCOqh5S1Qzgc6BvRb7QoLPiHUg/wKy4q71OYoyp6kJCYMj9sH8VbDrtOoT/pR+GZW8wN/pcDoc2qvzHM8ZUbwNuh4g4p2BVNRGIUuk7gEQRiRERAYYD60rp/xXQy+0TBgwD1lYwa/DIz3OW5mvehzURvb1OY4ypDnpeDbWaO0WrKtuiFyE3k49jr6r8xzLGVH/R9aDfzbB6Bhzd5nUav6j0UumquhD4AFgGrHIf88WS+qvqUeD/AYuB5cAyVf2sglmDx7qP4cgWZw1bq3pmjPGHsAgYdA9s+y/sWlJ5j5OdDotegM4XsTu8TeU9jjGmZhl0D0gozH/a6yR+EahS6Y+oahd3asmNqs6CrcX1d/e9pard3T6/qUjOoKIKcyf///buPMiqMr3j+PeRbkBAEWgFEVlUcGx0kFVpWgdLx4VoEMy4jU6cMdZg1BKrJlWZceJUkrJSySSROBGdjRodFcXgNuNeiUbZVJRGWhZFxJFhGUVZmr3pJ3+c0+bS3OWcvrfvuX3v71PV5e1z3vfwnNfD0y+nz3kf6HsynHZZ0tGISDkZ+5fQ/ZhgbeqO8u5DsOdLqL+j4/4MEak8Rw+EUVfBst9C02dJR5M3VXIstnWvwaaG4HnJI+IvpyUiklG3o2DCTbD6Ofjsg8If/+CB4O7S4Do4cULhjy8ila3udmjeF/yWrJNLupLj42bWEH6tN7OGcHs/M3vVzJrMrDx+V9Bq4SzoNQBGXZN0JCJSjs6aAVXdYVEHvCy04r9gxwbdvRaRjnHsCPjan8Fbv4R9O5OOJi+JVnJ096vc/Ux3PxOYT7DCCMBe4O+AH+QZX2nZuCy4g332zVDVLeloRKQc9awJypYvfxy2/7Fwx21pCW4QHDcShn+zcMcVEUlVfwfs3QbvPJh0JHnJd4I9laACI+F/L8/QrrWSYxWHVnIEIFxd5EpgLoC773L3BQQT7fKxYBZ06w3jvpd0JCJSzupuBW+BJbMLd8wPX4LPVkP9TL2cLSIdZ9A4GHoOLL4PmvcnHU275TvBPqQSI5C2kiPQWslxE7A9pZJjq3OALe7+YZ7xlK6tH8HKZ2D896C7SgOLSAfqMxROnw7v/CZ4IbEQFtwDvQfDyOmFOZ6ISCaTZsLOjbBiXtKRtFupVHK8hvDudVydpVT6iDWzGWBVLDk4iv0pMW7btgegZOMWkc6pZ7dJjN//BOvm3ckfhmQuaBUlB/XetpLRn77Jh6fcxB/fWBCrr4hIbN6FcT2HYa/8E29vGwiW/n5wKeegnBNsd78g0z4z22Jmx7v7piiVHMM+rZUcHw6/rwKmA2PbEX/nKJW+czO88SqMuY66i6Ydsuv+NaVb5lNEOrPJsO05Ttr4Eidd+29QfWTaVpFy0COzoUc/hl/5Dwzv2iNeXxGR9qj5Mcy/kckDdsNpl6ZtUso5KOlKjhBMwFe7+4Y8YyldS+6Hlmaouy3pSESkktTPhN2fw7KHczbNaMvK4PnrCd+HlMm1iEiHqr0cjhkSvFztnnQ0sSVdyRGCFUUOezzEzNYTVHO8wcw2mFltnrEmY+92WDoHaqdCv5OTjkZEKsmQSTBoPCz6GRxsbt8xFv4HVPcM1tcWESmWLlXBjckNb8Mni5KOJrZEKzmG+25w9wfSHHuou/d1917uPsjdV+YTa2KWzoF9O4IH9kVEisksyD3bPoGVT8fvv+0PsOKJoEJkj76Fjk5EJLvR10GPmo6tTttBVMmxIx3YGzwectJ5MPDMpKMRkUp06hSoGREsExr316yL7wsm6RNv6ZDQRESyqj4Szp4Ba1+BzY1JRxOLJtgdaflcaNoSPAcpIpKEI46ASbfDlhWw9r+j99u1NSj0cMaV0HtQx8UnIpLN+L+Crr2CZ7E7kWKVSr89LJP+vpnNTNn+j2b2Xlgq/WUzGxhuH2pme1LKqB/2CEnJazkIi+6FgaNh2DeSjkZEKtkZV8JRA+P9gHrrF9C8J5ici4gk5cg+MPYGaHwSvlyfdDSRFaNU+unATcAEYBRwqZkND3f/1N2/HpZK/z1wV0rXj1rLqLv7jDzjLL5Vz8IX64LnH1X1TESSVNU1eMxj/RuwYWnu9vt3wVs/Dx4vOe5rHR+fiEg2E28J1sJe9J9JRxJZMUqlnwYscffd7t4M/C8wDcDdd6S06wl0vnVY0nEPnnfsezKcdlnS0YiIBC8qdu8d7WWhdx8KKkDq5WwRKQVHD4RRV8Gy30LTZ0lHE0nOQjM5HFIq3cwOK5UONAJ3m1k/YA8wBfjqFoqZ3Q18B9gOnJfSb5iZLQN2AD929zfSBVCKlRz7fNHAqE0NrBlxC5teTxv2V0q5CpGIlJeh/S9iyOonePu5h9ndM3iuum0OspZmznrzX9nbu5aGdXtg3WsZj6f8JSLF0qNqIuObH+GTJ37E+mHfBko7B3V4qXR3X2Vm/wy8AjQBy4HmlP13Anea2Q+BW4GfAJuAwe6+1czGAk+b2cg2d7xb+5deJceH7oFe/Tn1W3dxanX3rE1LuQqRiJSZcSNh1rNMaF4Mk+8D0uSghrmw73O6XzGbySMmZz2c8peIFNXOFxi6/mWGXnsPdOtV0jko5yMi7n5BuH51269ngC1hiXSylErH3X/t7mPc/VzgC+DDNM0eBa4I2+9z963h53eAj4AR7TnBotu4LLjjc/ZfQ47JtYhIUfU6FkZfD8sfhx0bD9/f0hIUljmuFoZfWPz4RESymTQT9m6Ddx/M1TJxxSiVTuujI2Y2GJhOWLkx5WVHgD8HVofbjzWzLuHnk4DhwLo8Yy2OBbOg29Ew7rtJRyIicri6W8FbgjWu2/rwJfhslV7OFpHSdOJ4GFIfvOzYvD/paLLq8FLpoflmthL4HXCLu3/Z2j9cvu894EKgdT2oc4H3zGw5QZn1Ga1VIkva1o+C1UPG3xi8TCQiUmr6DIXTp8M7vwleZEy1YBb0HhzsFxEpRfV3wM6NQZXZEpbXS47hYxznp9m+keBlxtbvz8nQ/4oM2+cD8/OJLRGL7oUjquGsm5OOREQks0m3Bz+c3v4VUB9s+2QxfLoELvkX6FKdaHgiIhmdcj70PwMWzsKqZuFWmjUTSzOqzmjnZmh4FM68Fo7qn3Q0IiKZDTgDTvkmLHmAat8XbFs4C3r0C57RFhEpVWZBhezPP2DsvjeTjiajfCs5fiuszthiZuOytLvYzNaY2Voz+9uU7RkrQZrZD8P2a8zsonziLIol90NLM9TdlnQkIiK51c+E3Z9z3u6XOfHAevjgRZjwfejaI+nIRESyq70cjhnC1KbHg9ojJSjfO9iNBC8tvp6pQfiy4n3AJUAtcI2Z1Ya701aCDPdfDYwELgZmt770WJL2boelc6B2KvQ7OeloRERyGzIJBo3n0l3zubzpMajuCRNuSjoqEZHculRB3W2MOLCa0/Y3Jh1NWnlNsN19lbuvydFsArDW3de5+37gMYIKkJC5EuRU4LFwub6PgbXhcUrT0jmwb4eqnolI52EGk2bS/+Bm6ve+FlR67NE36ahERKIZfR3bj+jN1F3zko4krXwrOUZxAvBpyvcbgLPCz5kqQZ4ALGnT54SODrRdDuxl52s/4+Ouo7n7d3uAxbG6r9y0g9rjj+6Y2EREsjl1Cg3dxnL0vs38dN1Evvi58peIdBLVR/JCj8u5uulB2NwIA05POqJD5FXJMSw2k/MQabblemAmcp/UUulAk5nluqPeQT6ugbrP29OzEZg3o8DhlL4aoF3jVaE0XvFovOKpganKX9Hp+opH4xWPxiuGa6CGvz8jqfEakmlHzgm2u1+Q5x++ATgx5ftBQGsJsS1mdnx49zq1EmS2Pm3j+6pUepLMbKm7Z3zRUw6l8YpH4xWPxisejVc8Gq94NF7xaLziKdXxKsYyfW8Dw81smJl1JXh58dlwX6ZKkM8CV5tZNzMbRlDJ8a0ixCoiIiIikpd8l+mbZmYbgInAc2b2Urj9q0qO7t4M3Aq8BKwC5rn7++Eh0laCDPfPA1YCLxJUfzyYT6wiIiIiIsWQbyXHp4Cn0mxvW8nxeeD5NO3SVoIM990N3J1PfEWW+GMqnYzGKx6NVzwar3g0XvFovOLReMWj8YqnJMfLvEQX6BYRERER6YxUKl1EREREpIA0wc4hU5n3lP1mZveG+98zszFR+5ajCOP17XCc3jOzRWY2KmXfejNbYWYNZra0uJEnI8J4TTaz7eGYNJjZXVH7lqMI4/U3KWPVaGYHzaxvuK8Sr685ZvYnM0tb6kz561ARxkv5K0WE8VL+ShFhvJS/UpjZiWb2qpmtMrP3zez2NG1KN4e5u74yfAFdgI+Ak4CuwHKgtk2bKcALBGt3nw28GbVvuX1FHK86oE/4+ZLW8Qq/Xw/UJH0eJTZek4Hft6dvuX3FPWfgMuB/KvX6Cs/5XGAM0Jhhv/JXvPFS/oo3XspfMcarTVvlLzgeGBN+Pgr4oDPNwXQHO7tsZd5bTQUe8sAS4BgL1vSO0rfc5Dxnd1/k7l+G3y4hWOO8UuVzjej6yn3O1wBzixJZiXL314EvsjRR/kqRa7yUvw4V4frKRNdXbspf7pvc/d3w806ClejaVvUu2RymCXZ26cq8t/2fm6lNlL7lJu4530jwL89WDrxsZu9YUKGz3EUdr4lmttzMXjCzkTH7lpPI52xmPYCLgfkpmyvt+opC+av9Kj1/RaX8FZPy1+HMbCgwGnizza6SzWF5LdNXAaKUbM/Upj0l4ju7OCXuzyP4AVWfsnmSu280s+OAV8xsdfgv/nIVZbzeBYa4e5OZTQGeJii8pOsrkOmcLwMWunvq3aJKu76iUP5qB+WvyJS/2kf5K4WZ9SL4x8ZMd9/RdneaLiWRw3QHO7soJdsztYlc7r2MRDpnM/s68CtgqgdroQNfrZ+Ou/+JYH31CR0abfJyjpe773D3pvDz80C1mdVE6VuG4pzz1bT59WoFXl9RKH/FpPwVnfJXuyl/hcysmmBy/Yi7P5mmScnmME2ws8tW5r3Vs8B3wjdZzwa2u/umiH3LTc5zNrPBwJPA9e7+Qcr2nmZ2VOtn4EIg7ZvWZSTKeA0wMws/TyD4O7s1St8yFOmczaw38A3gmZRtlXh9RaH8FYPyVzzKX/Epf/2/8Nr5NbDK3f89Q7OSzWF6RCQLd282s9Yy712AOe7+vpnNCPc/QFChcgqwFtgNfDdb3wROo2gijtddQD9gdph3m919HNAfeCrcVgU86u4vJnAaRRNxvP4CuNnMmoE9wNUevCKt6yv9eAFMA152910p3Svu+gIws7kEKznUmNkG4CdANSh/pRNhvJS/UkQYL+WvFBHGC5S/Uk0CrgdWmFlDuO1HwGAo/RymSo4iIiIiIgWkR0RERERERApIE2wRERERkQLSBFtEREREpIA0wRYRERERKSBNsEVERERECkgTbBERERGRAtIEW0RERESkgDTBFhGpYGY2yMyuSjoOEZFyogm2iEhlOx8Yk3QQIiLlRJUcRUQqlJnVA88A24CdwDR3/zjRoEREyoAm2CIiFczMXgR+4O6NScciIlIu9IiIiEhlOxVYk3QQIiLlRBNsEZEKZWb9gO3ufiDpWEREyokm2CIilWsYsDHpIEREyo0m2CIilWs1UGNmjWZWl3QwIiLlQi85ioiIiIgUkO5gi4iIiIgUkCbYIiIiIiIFpAm2iIiIiEgBaYItIiIiIlJAmmCLiIiIiBSQJtgiIiIiIgWkCbaIiIiISAFpgi0iIiIiUkD/Bwfmx79E/I+DAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "EBQ(triangle,20,2,1,5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "8f71ab74-27eb-4d2e-a7a1-dc8014c771b9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "def x(t):\n",
    "    return np.sin(2*np.pi*t)+.6*np.sin(2*np.pi*1.5*t)+.35*np.sin(2*np.pi*3*t)\n",
    "\n",
    "EBQ(x,40,2,1.5,5)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.8"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
