reutlingen-university/1_data_science/0_zufallszahlenlabor/main.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Zufallszahlenlabor"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 1. Beispiel: Poisson-Verteilung"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1800x500 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Lage- und Streuungsmaße:\n",
      "Mittlere Tore Heim: 1.80, Standardabweichung: 1.34\n",
      "Mittlere Tore Auswärts: 1.30, Standardabweichung: 1.14\n",
      "Mittlere Tordifferenz: 0.50, Standardabweichung: 1.76\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "np.random.seed(11)\n",
    "\n",
    "# gegebenen Parameter\n",
    "anzahl_fussballspiele = 1000000\n",
    "tore_heim_avg = 1.8\n",
    "tore_auswaerts_avg = 1.3\n",
    "\n",
    "# Erstellung einer Poison-Verteilung\n",
    "# Simulation der geschossenen Tore\n",
    "tore_heim = np.random.poisson(tore_heim_avg, anzahl_fussballspiele)\n",
    "tore_auswaerts = np.random.poisson(tore_auswaerts_avg, anzahl_fussballspiele)\n",
    "\n",
    "# Berechnung der Tordifferenz\n",
    "tordifferenz = tore_heim - tore_auswaerts\n",
    "\n",
    "# Plot der Verteilungen\n",
    "fig, axes = plt.subplots(1, 3, figsize=(18, 5))\n",
    "\n",
    "# Verteilung der geschossenen Tore der Heimmannschaft\n",
    "values, counts = np.unique(tore_heim, return_counts=True)\n",
    "probs = counts / anzahl_fussballspiele\n",
    "axes[0].bar(values, probs, alpha=0.7, color='blue', edgecolor='black')\n",
    "axes[0].set_title('Verteilung der Tore (Heimmannschaft)')\n",
    "axes[0].set_xlabel('Anzahl Tore')\n",
    "axes[0].set_ylabel('Häufigkeit')\n",
    "\n",
    "# Verteilung der geschossenen Tore der Gastmannschaft\n",
    "values, counts = np.unique(tore_auswaerts, return_counts=True)\n",
    "probs = counts / anzahl_fussballspiele\n",
    "axes[1].bar(values, probs, alpha=0.7, color='green', edgecolor='black')\n",
    "axes[1].set_title('Verteilung der Tore (Gastmannschaft)')\n",
    "axes[1].set_xlabel('Anzahl Tore')\n",
    "axes[1].set_ylabel('Häufigkeit')\n",
    "\n",
    "# Verteilung der Tordifferenz\n",
    "values, counts = np.unique(tordifferenz, return_counts=True)\n",
    "probs = counts / anzahl_fussballspiele\n",
    "axes[2].bar(values, probs, alpha=0.7, color='red', edgecolor='black')\n",
    "axes[2].set_title('Verteilung der Tordifferenz')\n",
    "axes[2].set_xlabel('Tordifferenz')\n",
    "axes[2].set_ylabel('Häufigkeit')\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()\n",
    "\n",
    "# Lage- und Streuungsmaße\n",
    "print(\"Lage- und Streuungsmaße:\")\n",
    "print(f\"Mittlere Tore Heim: {np.mean(tore_heim):.2f}, Standardabweichung: {np.std(tore_heim):.2f}\")\n",
    "print(f\"Mittlere Tore Auswärts: {np.mean(tore_auswaerts):.2f}, Standardabweichung: {np.std(tore_auswaerts):.2f}\")\n",
    "print(f\"Mittlere Tordifferenz: {np.mean(tordifferenz):.2f}, Standardabweichung: {np.std(tordifferenz):.2f}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 2. Beispiel: Geometrische Verteilung"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Lage- und Streuungsmaße:\n",
      "Mittlere Tage seit letztem Fehler: 125.04\n",
      "Standardabweichung: 124.51\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "np.random.seed(22)\n",
    "\n",
    "# Parameter fuer die geometrische Verteilung\n",
    "durchschnitt_tage = 125\n",
    "anzahl_maschinen = 1000000\n",
    "\n",
    "# Simulation der Tage seit letztem Fehler\n",
    "tage_seit_letztem_fehler = np.random.geometric(1/durchschnitt_tage, anzahl_maschinen)\n",
    "\n",
    "# Plot der Verteilung\n",
    "values, counts = np.unique(tage_seit_letztem_fehler, return_counts=True)\n",
    "probs = counts / anzahl_maschinen\n",
    "\n",
    "plt.bar(values, probs, alpha=0.7, color='purple', edgecolor='black')\n",
    "plt.title('Verteilung der Tage seit letztem Fehler')\n",
    "plt.xlabel('Tage seit letztem Fehler')\n",
    "plt.ylabel('Häufigkeit')\n",
    "plt.show()\n",
    "\n",
    "# Lage- und Streuungsmaße\n",
    "print(\"Lage- und Streuungsmaße:\")\n",
    "print(f\"Mittlere Tage seit letztem Fehler: {np.mean(tage_seit_letztem_fehler):.2f}\")\n",
    "print(f\"Standardabweichung: {np.std(tage_seit_letztem_fehler):.2f}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 3. Beispiel: Binomialverteilung"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "n = 10000, p = 0.08333333333333333, size = 1000000\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Lage- und Streuungsmaße:\n",
      "Mittlere Anzahl Kunden: 833.35\n",
      "Standardabweichung: 27.63\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "np.random.seed(33)\n",
    "\n",
    "# Parameter fuer die Binomialverteilung\n",
    "anzahl_tage = 1_000_000\n",
    "anzahl_kunden_pro_tag = 10_000\n",
    "laden_oeffnungszeiten = 12  # Stunden\n",
    "zeit_kunden_einkaufen = 1  # Stunde\n",
    "p = zeit_kunden_einkaufen / laden_oeffnungszeiten  # Wahrscheinlichkeit, dass ein Kunde im Laden ist\n",
    "\n",
    "# Simulation der Anzahl der Kunden, die in einer Stunde einkaufen\n",
    "print(f\"n = {anzahl_kunden_pro_tag}, p = {p}, size = {anzahl_tage}\")\n",
    "anzahl_kunden = np.random.binomial(anzahl_kunden_pro_tag, p, anzahl_tage)\n",
    "\n",
    "# Plot der Verteilung\n",
    "values, counts = np.unique(anzahl_kunden, return_counts=True)\n",
    "probs = counts / anzahl_tage\n",
    "\n",
    "plt.bar(values, probs, alpha=0.7, color='orange')\n",
    "plt.title('Verteilung der Anzahl der Kunden im Laden')\n",
    "plt.xlabel('Anzahl Kunden pro Stunde')\n",
    "plt.ylabel('Häufigkeit')\n",
    "plt.show()\n",
    "\n",
    "\n",
    "# Lage- und Streuungsmaße\n",
    "print(\"Lage- und Streuungsmaße:\")\n",
    "print(f\"Mittlere Anzahl Kunden: {np.mean(anzahl_kunden):.2f}\")\n",
    "print(f\"Standardabweichung: {np.std(anzahl_kunden):.2f}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 4. Beispiel: Exponentialverteilung"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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DER0djT59+qCyshI5OTk4ePAgFi1ahIEDB5rdx6KiIowYMQLTpk1Djx49YG9vjx9++AFffPFFrTNIdYmOjsbOnTvx6KOPYtWqVfDy8sK///1vbN68Gc888wy6detW7zot9feCWgjr3otPREIIsWHDBgFA+Pr6mvz+999/FwsXLhTe3t5CLpeLtm3bCn9/f7F06VJRXFwshPjfU1T/+Mc/TNaxd+9e0aNHDyGXy42eDDx9+rQICwsT7du3F3K5XLi5uYmRI0eK+Ph4fYy5Tx2WlZWJF198UXh6egpbW1sxbNgwcerUqVqfOqz59Jqpdm7fvi1iYmJE+/bthUqlEoMGDRJqtVo4OjqK6Ojoug6tEEKIq1evikmTJonWrVsLe3t7MWnSJJGWlmbySUxzjkVtfa/Nd999J/7+97+Lvn37irZt2wqpVCratWsnxo4da/CUXjW1Wi1CQ0OFo6OjUCqVwsfHx2Cc1cf9999/N9ivul93Psn46aefir59+wqVSiU6dOggXnjhBfH5558bHePKykqxevVq4enpKRQKhejTp4/49NNPxbBhwwyeOhRCiOLiYrFs2TLRvXt3oVAohKOjo+jdu7eIjo4WeXl5+jgA4u9//7vR+O78u3D79m0RGRkp+vTpIxwcHIStra3o3r27WLFihSgpKdHvM2zYMNGrVy+jumbMmCG8vLwMyrKzs8W0adOEs7OzkMvlonv37uIf//iHwdOBdf17qfnvQwjz/l4QmSIRQggr5HdERPckLS0NgwcPxu7du42eICQielAw0SKiB15qairUajX8/f1ha2uL06dPY82aNXB0dMSPP/5o1lIIRETWwHu0iOiB5+DggIMHDyIuLg5//vknXFxcEBoaitWrVzPJIqIHGme0iIiIiCyEC5YSERERWQgTLSIiIiILYaJFREREZCG8Gd7KKisrcf36ddjb29/z6zyIiIjo/hBC4M8//4SHh0edCycz0bKy69evw9PT09rdICIioga4cuVKnW/nYKJlZfb29gCqTpSDg4OVe0NERETm0Gg08PT01P+O14aJlpVVXy50cHBgokVERNTE3O22H94MT0RERGQhTLSIiIiILISJFhEREZGFWD3R2rx5M7y9vaFSqeDv749jx47VGX/06FH4+/tDpVKhS5cuiI+PN4pJSkqCr68vlEolfH19kZycfE/tzps3DxKJBHFxcQblZWVlWLBgAVxcXGBnZ4cJEybg6tWr5g2ciIiImj2rJlr79u1DVFQUli5diszMTAwZMgShoaHIyckxGZ+VlYVx48ZhyJAhyMzMxJIlS7Bw4UIkJSXpY9RqNcLDwxEREYHTp08jIiICYWFhOHHiRIPa/fjjj3HixAl4eHgYfRcVFYXk5GQkJibi+PHjKC4uxvjx41FRUdEIR4eIiIiaPGFFjzzyiIiMjDQo69Gjh1i8eLHJ+BdffFH06NHDoGzevHli0KBB+u2wsDAxduxYg5iQkBAxderUerd79epV0aFDB3H27Fnh5eUl1q9fr//u5s2bQi6Xi8TERH3ZtWvXhI2Njfjiiy/qGLWhoqIiAUAUFRWZvQ8RERFZl7m/31ab0SovL0d6ejqCg4MNyoODg5GWlmZyH7VabRQfEhKCkydPQqvV1hlTXae57VZWViIiIgIvvPACevXqZdSX9PR0aLVag3o8PDzg5+dXa/+JiIioZbHaOloFBQWoqKiAq6urQbmrqyvy8vJM7pOXl2cyXqfToaCgAO7u7rXGVNdpbrtr166FTCbDwoULa+2LQqFAmzZtzO4/UHVfV1lZmX5bo9EAAHQ6HXQ6Xa37ERER0YPD3N9sqy9YWnOhLyFEnYt/mYqvWW5OnXXFpKenY8OGDcjIyKj3+wfv1v/Vq1fjlVdeMSo/efIk7Ozs6tUWERERWUdJSYlZcVZLtFxcXCCVSo1mf/Lz841mm6q5ubmZjJfJZHB2dq4zprpOc9o9duwY8vPz0alTJ/33FRUVWLRoEeLi4vDrr7/Czc0N5eXluHHjhsGsVn5+PoKCgmodd2xsLGJiYvTb1Uv4BwQEcGV4IiKiJqL6itTdWC3RUigU8Pf3R2pqKh5//HF9eWpqKiZOnGhyn8DAQHz66acGZQcPHkRAQADkcrk+JjU1FdHR0QYx1cmPOe1GRERg9OjRBu2EhIQgIiICTz/9NADA398fcrkcqampCAsLAwDk5ubi7NmzeOONN2odt1KphFKpNCqXyWSQyaw+wUhERERmMPs32/L35dcuMTFRyOVykZCQIM6fPy+ioqKEnZ2d+PXXX4UQQixevFhERETo43/55RfRqlUrER0dLc6fPy8SEhKEXC4XH330kT7m22+/FVKpVKxZs0ZcuHBBrFmzRshkMvHdd9+Z3a4pNZ86FEKIyMhI0bFjR3Ho0CGRkZEhRo4cKfr27St0Op3Zx4BPHRIRETU95v5+W3UKJTw8HIWFhVi1ahVyc3Ph5+eHlJQUeHl5AaiaIbpzbStvb2+kpKQgOjoamzZtgoeHB95++21MmjRJHxMUFITExEQsW7YMy5cvh4+PD/bt24eBAwea3a651q9fD5lMhrCwMJSWlmLUqFHYvn07pFLpPR4ZIiIiag4kQvz3bnKyCo1GA0dHRxQVFfEeLSIioibC3N9v3hTUjP3+++9GN+s5ODigXbt2VuoRERFRy8JEq5n6/fffMW3aMygsLDMod3ZWYs+eLUy2iIiI7gMmWs2URqNBYWEZlMpFsLX1BACUll5BYeFb0Gg0TLSIiIjuAyZazZytrSfs7Hz022VldQQTERFRo7Lauw6JiIiImjsmWkREREQWwkSLiIiIyEKYaBERERFZCBMtIiIiIgthokVERERkIUy0iIiIiCyEiRYRERGRhTDRIiIiIrIQJlpEREREFsJEi4iIiMhCmGgRERERWQgTLSIiIiILYaJFREREZCFMtIiIiIgshIkWERERkYUw0SIiIiKyECZaRERERBbCRIuIiIjIQphoEREREVkIEy0iIiIiC2GiRURERGQhTLSIiIiILISJFhEREZGFMNEiIiIishAmWkREREQWwkSLiIiIyEKYaBERERFZCBMtIiIiIgthokVERERkIVZPtDZv3gxvb2+oVCr4+/vj2LFjdcYfPXoU/v7+UKlU6NKlC+Lj441ikpKS4OvrC6VSCV9fXyQnJ9e73ZUrV6JHjx6ws7NDmzZtMHr0aJw4ccIgZvjw4ZBIJAafqVOnNuAoEBERUXNk1URr3759iIqKwtKlS5GZmYkhQ4YgNDQUOTk5JuOzsrIwbtw4DBkyBJmZmViyZAkWLlyIpKQkfYxarUZ4eDgiIiJw+vRpREREICwszCBJMqfdbt26YePGjThz5gyOHz+Ozp07Izg4GL///rtBn+bOnYvc3Fz95913323ko0RERERNlUQIIazV+MCBAzFgwABs2bJFX9azZ0889thjWL16tVH8Sy+9hAMHDuDChQv6ssjISJw+fRpqtRoAEB4eDo1Gg88//1wfM3bsWLRp0wZ79+5tULsAoNFo4OjoiEOHDmHUqFEAqma0+vXrh7i4uAYfg+p6i4qK4ODg0OB6arp8+TKmTImCk1Mc7Ox8AAAlJZdx82YUPvwwDj4+Po3WFhERUUtj7u+31Wa0ysvLkZ6ejuDgYIPy4OBgpKWlmdxHrVYbxYeEhODkyZPQarV1xlTX2ZB2y8vLsXXrVjg6OqJv374G3+3evRsuLi7o1asXnn/+efz55593GTkRERG1FDJrNVxQUICKigq4uroalLu6uiIvL8/kPnl5eSbjdTodCgoK4O7uXmtMdZ31afezzz7D1KlTcevWLbi7uyM1NRUuLi7676dPnw5vb2+4ubnh7NmziI2NxenTp5GamlrruMvKylBWVqbf1mg0AACdTgedTlfrfvVVWVkJmUwKmawSUmlVvTJZVVllZWWjtkVERNTSmPs7arVEq5pEIjHYFkIYld0tvma5OXWaEzNixAicOnUKBQUFeO+99/T3erVv3x5A1f1Z1fz8/NC1a1cEBAQgIyMDAwYMMNn/1atX45VXXjEqP3nyJOzs7Ezu0xClpaWYNi0EMlk2pNJ8AEBFRSl0uhBkZ2cjPz+/0doiIiJqaUpKSsyKs1qi5eLiAqlUajSLlJ+fbzTbVM3Nzc1kvEwmg7Ozc50x1XXWp107Ozs89NBDeOihhzBo0CB07doVCQkJiI2NNdm/AQMGQC6X49KlS7UmWrGxsYiJidFvazQaeHp6IiAgoFHv0crKysKSJRvh5DQarVp5AwBu3crCzZsbsXv3aHh7ezdaW0RERC1N9RWpu7FaoqVQKODv74/U1FQ8/vjj+vLU1FRMnDjR5D6BgYH49NNPDcoOHjyIgIAAyOVyfUxqaiqio6MNYoKCghrcbjUhhMFlv5rOnTsHrVYLd3f3WmOUSiWUSqVRuUwmg0zWeKfDxsYGOl0FdDobVFRU1avTVZXZ2Ng0altEREQtjbm/o1b9tY2JiUFERAQCAgIQGBiIrVu3IicnB5GRkQCqZn+uXbuGnTt3Aqh6wnDjxo2IiYnB3LlzoVarkZCQoH+aEACee+45DB06FGvXrsXEiRPxySef4NChQzh+/LjZ7ZaUlOC1117DhAkT4O7ujsLCQmzevBlXr17FlClTAFQ91bd7926MGzcOLi4uOH/+PBYtWoT+/ftj8ODB9+sQEhER0QPMqolWeHg4CgsLsWrVKuTm5sLPzw8pKSnw8vICAOTm5hqsbeXt7Y2UlBRER0dj06ZN8PDwwNtvv41JkybpY4KCgpCYmIhly5Zh+fLl8PHxwb59+zBw4ECz25VKpfjPf/6DHTt2oKCgAM7Oznj44Ydx7Ngx9OrVC0DVzNhXX32FDRs2oLi4GJ6ennj00UexYsUKSKXS+3H4iIiI6AFn1XW0iOtoERERNUUP/DpaRERERM0dEy0iIiIiC2GiRURERGQhTLSIiIiILISJFhEREZGFMNEiIiIishAmWkREREQWwkSLiIiIyEL4wrsWRqstQ3Z2tn7bwcEB7dq1s2KPiIiImi8mWi1IeXkhsrN/wYIFa/QvtnZ2VmLPni1MtoiIiCyAlw5bkIqKYuh0CigU0XByioNSuQiFhWXQaDTW7hoREVGzxBmtFkil6qh//2FZmZU7Q0RE1IxxRouIiIjIQphoEREREVkIEy0iIiIiC2GiRURERGQhTLSIiIiILISJFhEREZGFMNEiIiIishAmWkREREQWwkSLiIiIyEKYaBERERFZCBMtIiIiIgthokVERERkIUy0iIiIiCyEiRYRERGRhTDRIiIiIrIQJlpEREREFsJEi4iIiMhCmGgRERERWQgTLSIiIiILYaJFREREZCFMtIiIiIgshIkWERERkYVYPdHavHkzvL29oVKp4O/vj2PHjtUZf/ToUfj7+0OlUqFLly6Ij483iklKSoKvry+USiV8fX2RnJxc73ZXrlyJHj16wM7ODm3atMHo0aNx4sQJg5iysjIsWLAALi4usLOzw4QJE3D16tUGHAUiIiJqjqyaaO3btw9RUVFYunQpMjMzMWTIEISGhiInJ8dkfFZWFsaNG4chQ4YgMzMTS5YswcKFC5GUlKSPUavVCA8PR0REBE6fPo2IiAiEhYUZJEnmtNutWzds3LgRZ86cwfHjx9G5c2cEBwfj999/18dERUUhOTkZiYmJOH78OIqLizF+/HhUVFRY4GgRERFRkyOs6JFHHhGRkZEGZT169BCLFy82Gf/iiy+KHj16GJTNmzdPDBo0SL8dFhYmxo4daxATEhIipk6d2uB2hRCiqKhIABCHDh0SQghx8+ZNIZfLRWJioj7m2rVrwsbGRnzxxRe11lNbvUVFRWbvY46ff/5Z9O8/XowY8bMYP16I8eOFGDToK2Fr21MMGvSjGD9eiBEjqmJ+/vnnRm2biIiouTP391tmrQSvvLwc6enpWLx4sUF5cHAw0tLSTO6jVqsRHBxsUBYSEoKEhARotVrI5XKo1WpER0cbxcTFxTW43fLycmzduhWOjo7o27cvACA9PR1ardagPx4eHvDz80NaWhpCQkJM1lVWVoaysjL9tkajAQDodDrodDqT+zREZWUlZDIpZLJKSKVV9cpkAgqFXF8mk1XFVFZWNmrbREREzZ25v5tWS7QKCgpQUVEBV1dXg3JXV1fk5eWZ3CcvL89kvE6nQ0FBAdzd3WuNqa6zPu1+9tlnmDp1Km7dugV3d3ekpqbCxcVF3xeFQoE2bdqY3X8AWL16NV555RWj8pMnT8LOzq7W/eqrtLQU06aFQCbLhlSaDwDQaksRGjoDrVvnQS4vRkVFKXS6EGRnZyM/P7/R2iYiImruSkpKzIqzWqJVTSKRGGwLIYzK7hZfs9ycOs2JGTFiBE6dOoWCggK89957+nu92rdvX2v/7tb/2NhYxMTE6Lc1Gg08PT0REBAABweHWverr6ysLCxZshFOTqPRqpU3AKCw8CjOnNmB3r13wtm5F27dysLNmxuxe/doeHt7N1rbREREzV31Fam7sVqi5eLiAqlUajT7k5+fbzTbVM3Nzc1kvEwmg7Ozc50x1XXWp107Ozs89NBDeOihhzBo0CB07doVCQkJiI2NhZubG8rLy3Hjxg2DWa38/HwEBQXVOm6lUgmlUmlULpPJIJM13umwsbGBTlcBnc4GFRVV9ep0EpSXa/VlOl1VjI2NTaO2TURE1NyZ+7tptacOFQoF/P39kZqaalCemppaa6ISGBhoFH/w4EEEBARALpfXGVNdZ0ParSaE0N9f5e/vD7lcblBPbm4uzp49e9d6iIiIqGWw6jRGTEwMIiIiEBAQgMDAQGzduhU5OTmIjIwEUHWZ7dq1a9i5cycAIDIyEhs3bkRMTAzmzp0LtVqNhIQE7N27V1/nc889h6FDh2Lt2rWYOHEiPvnkExw6dAjHjx83u92SkhK89tprmDBhAtzd3VFYWIjNmzfj6tWrmDJlCgDA0dERs2fPxqJFi+Ds7Iy2bdvi+eefR+/evTF69Oj7dQiJiIjoAWbVRCs8PByFhYVYtWoVcnNz4efnh5SUFHh5eQGomiG6c20rb29vpKSkIDo6Gps2bYKHhwfefvttTJo0SR8TFBSExMRELFu2DMuXL4ePjw/27duHgQMHmt2uVCrFf/7zH+zYsQMFBQVwdnbGww8/jGPHjqFXr176etavXw+ZTIawsDCUlpZi1KhR2L59O6RSqaUPHRERETUBElF9NzlZhUajgaOjI4qKihr1ZvjLly9jypQoODnFwc7OBwBQUHAYp08/i75998HFpTdKSi7j5s0ofPhhHHx8fBqtbSIioubO3N9vq7+Ch4iIiKi5YqJFREREZCFMtIiIiIgshIkWERERkYUw0SIiIiKyECZaRERERBbC9660cFptGbKzsw3KHBwc0K5dOyv1iIiIqPlgotWClZcXIjv7FyxYsMbg/YvOzkrs2bOFyRYREdE9YqLVglVUFEOnU0ChiIaTUzcAQGnpFRQWvgWNRsNEi4iI6B4x0SKoVB31q8cDwH/fm01ERET3iDfDExEREVkIEy0iIiIiC2GiRURERGQhTLSIiIiILISJFhEREZGFMNEiIiIishAmWkREREQWwkSLiIiIyEKYaBERERFZCBMtIiIiIgthokVERERkIUy0iIiIiCyEiRYRERGRhTDRIiIiIrIQJlpEREREFsJEi4iIiMhCmGgRERERWQgTLSIiIiILYaJFREREZCFMtIiIiIgshIkWERERkYUw0SIiIiKyECZaRERERBbCRIuIiIjIQqyeaG3evBne3t5QqVTw9/fHsWPH6ow/evQo/P39oVKp0KVLF8THxxvFJCUlwdfXF0qlEr6+vkhOTq5Xu1qtFi+99BJ69+4NOzs7eHh44KmnnsL169cN6hg+fDgkEonBZ+rUqQ08EkRERNTcWDXR2rdvH6KiorB06VJkZmZiyJAhCA0NRU5Ojsn4rKwsjBs3DkOGDEFmZiaWLFmChQsXIikpSR+jVqsRHh6OiIgInD59GhEREQgLC8OJEyfMbvfWrVvIyMjA8uXLkZGRgf379+Onn37ChAkTjPo0d+5c5Obm6j/vvvtuIx8lIiIiaqokQghhrcYHDhyIAQMGYMuWLfqynj174rHHHsPq1auN4l966SUcOHAAFy5c0JdFRkbi9OnTUKvVAIDw8HBoNBp8/vnn+pixY8eiTZs22Lt3b4PaBYAffvgBjzzyCLKzs9GpUycAVTNa/fr1Q1xcXIOPgUajgaOjI4qKiuDg4NDgemq6fPkypkyJgpNTHOzsfAAABQWHcfr0s+jbdx9cXHobbQNAScll3LwZhQ8/jIOPj0+j9YeIiKg5Mff3W3Yf+2SgvLwc6enpWLx4sUF5cHAw0tLSTO6jVqsRHBxsUBYSEoKEhARotVrI5XKo1WpER0cbxVQnQw1pFwCKioogkUjg5ORkUL57927s2rULrq6uCA0NxYoVK2Bvb19rPWVlZSgrK9NvazQaAIBOp4NOp6t1v/qqrKyETCaFTFYJqbSqXplMQKGQ68tqblfFVO1XWVnZqP0hIiJqTsz9jbRaolVQUICKigq4uroalLu6uiIvL8/kPnl5eSbjdTodCgoK4O7uXmtMdZ0Naff27dtYvHgxpk2bZpC1Tp8+Hd7e3nBzc8PZs2cRGxuL06dPIzU1tdZxr169Gq+88opR+cmTJ2FnZ1frfvVVWlqKadNCIJNlQyrNBwBotaUIDZ2B1q3zIJcXG20DQEVFKXS6EGRnZyM/P7/R+kNERNSclJSUmBVntUSrmkQiMdgWQhiV3S2+Zrk5dZrbrlarxdSpU1FZWYnNmzcbfDd37lz9n/38/NC1a1cEBAQgIyMDAwYMMNn/2NhYxMTE6Lc1Gg08PT0REBDQqJcOs7KysGTJRjg5jUarVt4AgMLCozhzZgd6994JZ+deRtsAcOtWFm7e3Ijdu0fD29u70fpDRETUnFRfkbobqyVaLi4ukEqlRrNI+fn5RrNN1dzc3EzGy2QyODs71xlTXWd92tVqtQgLC0NWVhYOHz5810RowIABkMvluHTpUq2JllKphFKpNCqXyWSQyRrvdNjY2ECnq4BOZ4OKiqp6dToJysu1+rKa21UxVfvZ2Ng0an+IiIiaE3N/I6321KFCoYC/v7/RZbbU1FQEBQWZ3CcwMNAo/uDBgwgICIBcLq8zprpOc9utTrIuXbqEQ4cO6RO5upw7dw5arRbu7u53jSUiIqLmz6pTFjExMYiIiEBAQAACAwOxdetW5OTkIDIyEkDVZbZr165h586dAKqeMNy4cSNiYmIwd+5cqNVqJCQk6J8mBIDnnnsOQ4cOxdq1azFx4kR88sknOHToEI4fP252uzqdDpMnT0ZGRgY+++wzVFRU6GfA2rZtC4VCgcuXL2P37t0YN24cXFxccP78eSxatAj9+/fH4MGD79chJCIiogeYVROt8PBwFBYWYtWqVcjNzYWfnx9SUlLg5eUFAMjNzTVYU8vb2xspKSmIjo7Gpk2b4OHhgbfffhuTJk3SxwQFBSExMRHLli3D8uXL4ePjg3379mHgwIFmt3v16lUcOHAAANCvXz+DPh85cgTDhw+HQqHAV199hQ0bNqC4uBienp549NFHsWLFCkilUksdMiIiImpCrLqOFnEdLSIioqbogV9Hix5cWm0ZsrOz9dsODg5o166dFXtERETUNDXoZvhZs2bhzz//NCovKSnBrFmz7rlTZD3l5YXIzv4FCxaswZQpUZgyJQrTpj2D33//3dpdIyIianIalGjt2LEDpaWlRuWlpaX6G9epaaqoKIZOp4BCEQ0npzgolYtQWFhm9nohRERE9D/1unSo0WgghIAQAn/++SdUKpX+u4qKCqSkpKB9+/aN3km6/1Sqjvp7u+54YxARERHVQ70SLScnJ0gkEkgkEnTr1s3oe4lEYvL1MkREREQtUb0SrSNHjkAIgZEjRyIpKQlt27bVf6dQKODl5QUPD49G7yQRERFRU1SvRGvYsGEAqt6j16lTpzrfSUhERETU0pmdaP3444/w8/ODjY0NioqKcObMmVpj+/Tp0yidIyIiImrKzE60+vXrh7y8PLRv3x79+vWDRCKBqbVOJRIJKioqGrWTRERERE2R2YlWVlaWftHKrKwsi3WIiIiIqLkwO9Gqfg9gzT8TERERkWkNWrAUAD744AMMHjwYHh4e+te1xMXF4ZNPPmm0zhERERE1ZQ1KtLZs2YKYmBiMGzcON2/e1N+T5eTkhLi4uMbsHxEREVGT1aBE65133sF7772HpUuXQiqV6ssDAgLqfBqRiIiIqCVpUKKVlZWF/v37G5UrlUqUlJTcc6eIiIiImoMGJVre3t44deqUUfnnn38OX1/fe+0TERERUbNQr5Xhq73wwgv4+9//jtu3b0MIge+//x579+7F6tWr8c9//rOx+0hERETUJDUo0Xr66aeh0+nw4osv4tatW5g2bRo6dOiADRs2YOrUqY3dRyIiIqImqUGJ1s2bNzF37lzMnTsXBQUFqKysRPv27QEAP//8Mx566KFG7SQRERFRU9Sge7TGjRuH27dvAwBcXFz0SdbFixcxfPjwRuscERERUVPWoESrTZs2eOyxx6DT6fRlFy5cwPDhwzFp0qRG6xwRERFRU9agRCspKQklJSWYNm0ahBA4e/Yshg8fjieffBIbNmxo7D4SERERNUkNSrRUKhU+++wzXLp0CVOmTMGoUaPw1FNPYd26dY3dPyIiIqImy+yb4TUajcG2RCLBvn37MHr0aEyaNAnLly/Xxzg4ODRuL4mIiIiaILMTLScnJ0gkEqNyIQTi4+Px7rvvQggBiUSif/chERERUUtmdqJ15MgRS/aDiIiIqNkxO9EaNmyYJftBRERE1Ow0aMHSH3/80WS5RCKBSqVCp06doFQq76ljRERERE1dgxKtfv36mbxfq5pcLkd4eDjeffddqFSqBneOiIiIqClr0PIOycnJ6Nq1K7Zu3YpTp04hMzMTW7duRffu3bFnzx4kJCTg8OHDWLZsWWP3l4iIiKjJaNCM1muvvYYNGzYgJCREX9anTx907NgRy5cvx/fffw87OzssWrQIb775ZqN1loiIiKgpaVCidebMGXh5eRmVe3l54cyZMwCqLi/m5ubeW+/ogaDVliE7O9ugzMHBAe3atbNSj4iIiJqGBiVaPXr0wJo1a7B161YoFAoAgFarxZo1a9CjRw8AwLVr1+Dq6tp4PSWrKC8vRHb2L1iwYI3BAw7Ozkrs2bOFyRYREVEdGpRobdq0CRMmTEDHjh3Rp08fSCQS/Pjjj6ioqMBnn30GAPjll18wf/78Ru0s3X8VFcXQ6RRQKKLh5NQNAFBaegWFhW9Bo9Ew0SIiIqpDg26GDwoKwq+//opVq1ahT58+8PPzw6pVq5CVlYVBgwYBACIiIvDCCy/cta7NmzfD29sbKpUK/v7+OHbsWJ3xR48ehb+/P1QqFbp06YL4+HijmKSkJPj6+kKpVMLX1xfJycn1aler1eKll15C7969YWdnBw8PDzz11FO4fv26QR1lZWVYsGABXFxcYGdnhwkTJuDq1at3HXNTpFJ1hJ2dD+zsfGBr62nt7hARETUJDUq0AKB169aIjIzEunXrsH79esybNw/29vb1qmPfvn2IiorC0qVLkZmZiSFDhiA0NBQ5OTkm47OysjBu3DgMGTIEmZmZWLJkCRYuXIikpCR9jFqtRnh4OCIiInD69GlEREQgLCwMJ06cMLvdW7duISMjA8uXL0dGRgb279+Pn376CRMmTDDoT1RUFJKTk5GYmIjjx4+juLgY48eP5yuIiIiICEA9Lh0eOHAAoaGhkMvlOHDgQJ2xNROS2qxbtw6zZ8/GnDlzAABxcXH48ssvsWXLFqxevdooPj4+Hp06dUJcXBwAoGfPnjh58iTefPNNTJo0SV/HmDFjEBsbCwCIjY3F0aNHERcXh71795rVrqOjI1JTUw3afuedd/DII48gJycHnTp1QlFRERISEvDBBx9g9OjRAIBdu3bB09MThw4dMngik4iIiFomsxOtxx57DHl5eWjfvj0ee+yxWuPMfal0eXk50tPTsXjxYoPy4OBgpKWlmdxHrVYjODjYoCwkJAQJCQnQarWQy+VQq9WIjo42iqlOzhrSLgAUFRVBIpHAyckJAJCeng6tVmvQHw8PD/j5+SEtLa3WRKusrAxlZWX6bY1GAwDQ6XTQ6XS1tl9flZWVkMmkkMkqIZVW1SuTCSgUcn1ZzW3zY6rqrqysbNQ+ExERNRXm/v6ZnWhVVlaa/HNDFRQUoKKiwujJRFdXV+Tl5ZncJy8vz2S8TqdDQUEB3N3da42prrMh7d6+fRuLFy/GtGnT4ODgoO+LQqFAmzZtzK4HAFavXo1XXnnFqPzkyZOws7Ordb/6Ki0txbRpIZDJsiGV5gMAtNpShIbOQOvWeZDLi422zY2pqCiFTheC7Oxs5OfnN1qfiYiImoqSkhKz4sxOtNq2bYuffvoJLi4umDVrFjZs2FDve7JMqfkqHyFEna/3MRVfs9ycOs1tV6vVYurUqaisrMTmzZvrGIl5/Y+NjUVMTIx+W6PRwNPTEwEBAfokrjFkZWVhyZKNcHIajVatvAEAhYVHcebMDvTuvRPOzr2Mts2NuXUrCzdvbsTu3aPh7e3daH0mIiJqKqqvSN2N2YlWeXk5NBoNXFxcsGPHDqxdu/aeEi0XFxdIpVKj2Z/8/Pxa199yc3MzGS+TyeDs7FxnTHWd9WlXq9UiLCwMWVlZOHz4sEEi5ObmhvLycty4ccNgVis/Px9BQUG1jlupVJp84bZMJoNM1qDVNkyysbGBTlcBnc4GFRVV9ep0EpSXa/VlNbfNj6mq28bGplH7TERE1FSY+/tn9q9kYGAgHnvsMfj7+0MIgYULF8LW1tZk7Pvvv3/X+hQKBfz9/ZGamorHH39cX56amoqJEyfW2odPP/3UoOzgwYMICAiAXC7Xx6Smphrcp3Xw4EF98mNuu9VJ1qVLl3DkyBF9IlfN398fcrkcqampCAsLAwDk5ubi7NmzeOONN+46fiIiImr+zE60du3ahfXr1+Py5cuQSCQoKirC7du376nxmJgYREREICAgAIGBgdi6dStycnIQGRkJoOoy27Vr17Bz504AQGRkJDZu3IiYmBjMnTsXarUaCQkJ+qcJAeC5557D0KFDsXbtWkycOBGffPIJDh06hOPHj5vdrk6nw+TJk5GRkYHPPvsMFRUV+hmwtm3bQqFQwNHREbNnz8aiRYvg7OyMtm3b4vnnn0fv3r31TyESERFRy2Z2ouXq6oo1a9YAALy9vfHBBx8YzfLUV3h4OAoLC7Fq1Srk5ubCz88PKSkp+vco5ubmGqyp5e3tjZSUFERHR2PTpk3w8PDA22+/rV/aAahaTDUxMRHLli3D8uXL4ePjg3379mHgwIFmt3v16lX9Ehb9+vUz6PORI0cwfPhwAMD69eshk8kQFhaG0tJSjBo1Ctu3b4dUKr2n40JERETNQ4NusMnKymq0DsyfP7/WV/Vs377dqGzYsGHIyMios87Jkydj8uTJDW63c+fO+pvs66JSqfDOO+/gnXfeuWssERERtTwNSrRWrVpV5/cvv/xygzpDRERE1Jw0KNGq+e5ArVaLrKwsyGQy+Pj4MNEiIiIiQgMTrczMTKMyjUaDmTNnGjzJR0RERNSSNfil0jU5ODhg1apVWL58eWNVSURERNSkNVqiBQA3b95EUVFRY1ZJRERE1GQ16NLh22+/bbAthEBubi4++OADjB07tlE6RkRERNTUNSjRWr9+vcG2jY0N2rVrhxkzZiA2NrZROkZERETU1Fl9HS0iIiKi5qpR79EiIiIiov9p0IwWAPzwww/48MMPkZOTg/LycoPv9u/ff88dIyIiImrqzJ7Revvtt/UvkU5MTMTgwYNx/vx5JCcnQ6vV4vz58zh8+DAcHR0t1lkiIiKipsTsRGv9+vUoKSkBALz++utYv349PvvsMygUCmzYsAEXLlxAWFgYOnXqZLHOEhERETUlZidaWVlZcHZ2BgBcvnwZ48aNAwAolUqUlJRAIpEgOjoaW7dutUxPiYiIiJoYsxOtkSNH4ubNmwCANm3aoLi4GADQoUMHnD17FkDVgqW3bt1q/F4SERERNUFm3wzft29fyOVyAMD/+3//D4cPH0bv3r0RFhaG5557DocPH0ZqaipGjRplsc7Sg0OrLUN2drZBmYODA9q1a2elHhERET14zE607lyk9O2330ZpaSkAIDY2FnK5HMePH8cTTzzBdx22AOXlhcjO/gULFqyBUqnUlzs7K7FnzxYmW0RERP9Vr+UdNBoNAEClUkGlUum3IyMjERkZ2fi9owdSRUUxdDoFFIpoODl1AwCUll5BYeFb0Gg0TLSIiIj+q16JlpOTEyQSyV3jKioqGtwhajpUqo6ws/PRb5eVWbEzRERED6B6JVpHjhzR/1kIgXHjxuGf//wnOnTo0OgdIyIiImrq6pVoDRs2zGBbKpVi0KBB6NKlS6N2ioiIiKg54LsOiYiIiCyEiRYRERGRhdxzomXOzfFERERELVG97tF64oknDLZv376NyMhI2NnZGZTv37//3ntGRERE1MTVK9FydHQ02P7rX//aqJ0hIiIiak7qlWht27bNUv0gIiIianZ4MzwRERGRhTDRIiIiIrIQJlpEREREFsJEi4iIiMhCmGgRERERWQgTLSIiIiILYaJFREREZCFMtIiIiIgsxOqJ1ubNm+Ht7Q2VSgV/f38cO3aszvijR4/C398fKpUKXbp0QXx8vFFMUlISfH19oVQq4evri+Tk5Hq3u3//foSEhMDFxQUSiQSnTp0yqmP48OGQSCQGn6lTp9bvABAREVGzZdVEa9++fYiKisLSpUuRmZmJIUOGIDQ0FDk5OSbjs7KyMG7cOAwZMgSZmZlYsmQJFi5ciKSkJH2MWq1GeHg4IiIicPr0aURERCAsLAwnTpyoV7slJSUYPHgw1qxZU+cY5s6di9zcXP3n3XffvcejQkRERM2FVROtdevWYfbs2ZgzZw569uyJuLg4eHp6YsuWLSbj4+Pj0alTJ8TFxaFnz56YM2cOZs2ahTfffFMfExcXhzFjxiA2NhY9evRAbGwsRo0ahbi4uHq1GxERgZdffhmjR4+ucwytWrWCm5ub/lPzfZBERETUctXrXYeNqby8HOnp6Vi8eLFBeXBwMNLS0kzuo1arERwcbFAWEhKChIQEaLVayOVyqNVqREdHG8VUJ1oNabcuu3fvxq5du+Dq6orQ0FCsWLEC9vb2tcaXlZWhrKxMv63RaAAAOp0OOp2u3u3XprKyEjKZFDJZJaTSqnplMgGFQq4vq7nd0JiqskoAFfj1119RWVkJALC3t4eLi0ujjYmIiOhBYe5vttUSrYKCAlRUVMDV1dWg3NXVFXl5eSb3ycvLMxmv0+lQUFAAd3f3WmOq62xIu7WZPn06vL294ebmhrNnzyI2NhanT59GampqrfusXr0ar7zyilH5yZMnYWdnV6/261JaWopp00Igk2VDKs0HAGi1pQgNnYHWrfMglxcbbTc0BgB0Og2Ki0fhxx//gzNnfgIAyOU28PXtBoVC0WjjIiIiehCUlJSYFWe1RKuaRCIx2BZCGJXdLb5muTl11rddU+bOnav/s5+fH7p27YqAgABkZGRgwIABJveJjY1FTEyMfluj0cDT0xMBAQFwcHCoV/t1ycrKwpIlG+HkNBqtWnkDAAoLj+LMmR3o3XsnnJ17GW03NOZ/ZTvRrdtqODl1RWnpVZSVbcDu3SPh7e3daOMiIiJ6EFRfkbobqyVaLi4ukEqlRrNI+fn5RrNN1dzc3EzGy2QyODs71xlTXWdD2jXXgAEDIJfLcenSpVoTLaVSCaVSaVQuk8kgkzXe6bCxsYFOVwGdzgYVFVX16nQSlJdr9WU1txsac2eZVOoJpbIrdDoblJRUwMbGplHHRURE9CAw97fNajfDKxQK+Pv7G11mS01NRVBQkMl9AgMDjeIPHjyIgIAAyOXyOmOq62xIu+Y6d+4ctFot3N3d76keIiIiah6sOtUQExODiIgIBAQEIDAwEFu3bkVOTg4iIyMBVF1mu3btGnbu3AkAiIyMxMaNGxETE4O5c+dCrVYjISEBe/fu1df53HPPYejQoVi7di0mTpyITz75BIcOHcLx48fNbhcA/vjjD+Tk5OD69esAgIsXLwKA/unCy5cvY/fu3Rg3bhxcXFxw/vx5LFq0CP3798fgwYMtfuyIiIjowWfVRCs8PByFhYVYtWoVcnNz4efnh5SUFHh5eQEAcnNzDda28vb2RkpKCqKjo7Fp0yZ4eHjg7bffxqRJk/QxQUFBSExMxLJly7B8+XL4+Phg3759GDhwoNntAsCBAwfw9NNP67erFyJdsWIFVq5cCYVCga+++gobNmxAcXExPD098eijj2LFihWQSqUWO2ZERETUdFj95pn58+dj/vz5Jr/bvn27UdmwYcOQkZFRZ52TJ0/G5MmTG9wuAMycORMzZ86s9XtPT08cPXq0zjaIiIioZbP6K3iIiIiImismWkREREQWwkSLiIiIyEKYaBERERFZCBMtIiIiIgthokVERERkIUy0iIiIiCyEiRYRERGRhTDRIiIiIrIQJlpEREREFsJEi4iIiMhCmGgRERERWQgTLSIiIiILkVm7A9R8abVlyM7ONihzcHBAu3btrNQjIiKi+4uJFllEeXkhsrN/wYIFa6BUKvXlzs5K7NmzhckWERG1CEy0yCIqKoqh0ymgUETDyakbAKC09AoKC9+CRqNhokVERC0CEy2yKJWqI+zsfPTbZWVW7AwREdF9xpvhiYiIiCyEiRYRERGRhTDRIiIiIrIQJlpEREREFsJEi4iIiMhCmGgRERERWQgTLSIiIiILYaJFREREZCFMtIiIiIgshIkWERERkYUw0SIiIiKyECZaRERERBbCRIuIiIjIQmTW7gC1LFptGbKzs/XbDg4OaNeunRV7REREZDlMtOi+KS8vRHb2L1iwYA2USiUAwNlZiT17tjDZIiKiZomXDum+qagohk6ngEIRDSenOCiVi1BYWAaNRmPtrhEREVkEZ7TovlOpOsLOzgcAUFZm5c4QERFZkNVntDZv3gxvb2+oVCr4+/vj2LFjdcYfPXoU/v7+UKlU6NKlC+Lj441ikpKS4OvrC6VSCV9fXyQnJ9e73f379yMkJAQuLi6QSCQ4deqUUR1lZWVYsGABXFxcYGdnhwkTJuDq1av1OwBERETUbFk10dq3bx+ioqKwdOlSZGZmYsiQIQgNDUVOTo7J+KysLIwbNw5DhgxBZmYmlixZgoULFyIpKUkfo1arER4ejoiICJw+fRoREREICwvDiRMn6tVuSUkJBg8ejDVr1tTa/6ioKCQnJyMxMRHHjx9HcXExxo8fj4qKikY4OkRERNTUWTXRWrduHWbPno05c+agZ8+eiIuLg6enJ7Zs2WIyPj4+Hp06dUJcXBx69uyJOXPmYNasWXjzzTf1MXFxcRgzZgxiY2PRo0cPxMbGYtSoUYiLi6tXuxEREXj55ZcxevRok30pKipCQkIC3nrrLYwePRr9+/fHrl27cObMGRw6dKhxDhARERE1aVa7R6u8vBzp6elYvHixQXlwcDDS0tJM7qNWqxEcHGxQFhISgoSEBGi1WsjlcqjVakRHRxvFVCdaDWnXlPT0dGi1WoP+eHh4wM/PD2lpaQgJCTG5X1lZGcruuDGp+kZwnU4HnU5ndvt3U1lZCZlMCpmsElJpVb0ymYBCIdeX1dxuaEzD667qY2VlZaOOnYiIyNLM/d2yWqJVUFCAiooKuLq6GpS7uroiLy/P5D55eXkm43U6HQoKCuDu7l5rTHWdDWm3tr4oFAq0adOmXvWsXr0ar7zyilH5yZMnYWdnZ3b7d1NaWopp00Igk2VDKs0HAGi1pQgNnYHWrfMglxcbbTc0pqH7VVSUQqcLQXZ2NvLz8xtt7ERERJZWUlJiVpzVnzqUSCQG20IIo7K7xdcsN6fO+rZrrrvVExsbi5iYGP22RqOBp6cnAgIC4ODgcM/tV8vKysKSJRvh5DQarVp5AwAKC4/izJkd6N17J5ydexltNzSmofvdupWFmzc3Yvfu0fD29m60sRMREVmauUsTWS3RcnFxgVQqNZr9yc/PN5ptqubm5mYyXiaTwdnZuc6Y6job0m5tfSkvL8eNGzcMZrXy8/MRFBRU635KpVK/WOedZDIZZLLGOx02NjbQ6Sqg09mgoqKqXp1OgvJyrb6s5nZDYxped1UfbWxsGnXsRERElmbu75bVboZXKBTw9/dHamqqQXlqamqtiUpgYKBR/MGDBxEQEAC5XF5nTHWdDWnXFH9/f8jlcoN6cnNzcfbs2XrVQ0RERM2XVacRYmJiEBERgYCAAAQGBmLr1q3IyclBZGQkgKrLbNeuXcPOnTsBAJGRkdi4cSNiYmIwd+5cqNVqJCQkYO/evfo6n3vuOQwdOhRr167FxIkT8cknn+DQoUM4fvy42e0CwB9//IGcnBxcv34dAHDx4kUAVTNZbm5ucHR0xOzZs7Fo0SI4Ozujbdu2eP7559G7d+9an1QkIiKilsWqiVZ4eDgKCwuxatUq5Obmws/PDykpKfDy8gJQNUN059pW3t7eSElJQXR0NDZt2gQPDw+8/fbbmDRpkj4mKCgIiYmJWLZsGZYvXw4fHx/s27cPAwcONLtdADhw4ACefvpp/fbUqVMBACtWrMDKlSsBAOvXr4dMJkNYWBhKS0sxatQobN++HVKp1CLHqzmq+ZJpgC+aJiKi5sPqN8bMnz8f8+fPN/nd9u3bjcqGDRuGjIyMOuucPHkyJk+e3OB2AWDmzJmYOXNmnXWoVCq88847eOedd+qMI9NMvWQa4IumiYio+bB6okUtl+FLprsBAEpLr6Cw8C1oNBomWkRE1OQx0SKru/Ml0wBfNE1ERM2H1V8qTURERNRcMdEiIiIishAmWkREREQWwkSLiIiIyEKYaBERERFZCBMtIiIiIgthokVERERkIUy0iIiIiCyEiRYRERGRhTDRIiIiIrIQvoKHHjhabRmys7P12w4ODnzvIRERNUlMtOiBUl5eiOzsX7BgwRoolUoAgLOzEnv2bGGyRURETQ4vHdIDpaKiGDqdAgpFNJyc4qBULkJhYRk0Go21u0ZERFRvnNGiB5JK1RF2dj4AgLIyK3eGiIiogTijRURERGQhTLSIiIiILISJFhEREZGFMNEiIiIishAmWkREREQWwkSLiIiIyEK4vAM98GquFA9wtXgiImoamGjRA83USvEAV4snIqKmgYkWPdAMV4rvBgAoLb2CwsK3oNFomGgREdEDjYkWNQl3rhQPcLV4IiJqGngzPBEREZGFMNEiIiIishAmWkREREQWwkSLiIiIyEKYaBERERFZCJ86pCap5iKmXMCUiIgeREy0qMkxtYgpFzAlIqIHES8dUpNjuIhpHJTKRSgsLINGo7F214iIiAxYPdHavHkzvL29oVKp4O/vj2PHjtUZf/ToUfj7+0OlUqFLly6Ij483iklKSoKvry+USiV8fX2RnJxc73aFEFi5ciU8PDxga2uL4cOH49y5cwYxw4cPh0QiMfhMnTq1AUeBGqJ6EVNbW09rd4WIiMgkqyZa+/btQ1RUFJYuXYrMzEwMGTIEoaGhyMnJMRmflZWFcePGYciQIcjMzMSSJUuwcOFCJCUl6WPUajXCw8MRERGB06dPIyIiAmFhYThx4kS92n3jjTewbt06bNy4ET/88APc3NwwZswY/PnnnwZ9mjt3LnJzc/Wfd999t5GPEhERETVVVk201q1bh9mzZ2POnDno2bMn4uLi4OnpiS1btpiMj4+PR6dOnRAXF4eePXtizpw5mDVrFt588019TFxcHMaMGYPY2Fj06NEDsbGxGDVqFOLi4sxuVwiBuLg4LF26FE888QT8/PywY8cO3Lp1C3v27DHoU6tWreDm5qb/ODo6Nv6BIiIioibJajfDl5eXIz09HYsXLzYoDw4ORlpamsl91Go1goODDcpCQkKQkJAArVYLuVwOtVqN6Ohoo5jqRMucdrOyspCXl2fQllKpxLBhw5CWloZ58+bpy3fv3o1du3bB1dUVoaGhWLFiBezt7Wsdd1lZGcrueFFf9X1FOp0OOp2u1v3qq7KyEjKZFDJZJaTSqnplMgGFQq4vq7nd0BhL1m1eTNVYKysrG/UYEhER1cbc3xurJVoFBQWoqKiAq6urQbmrqyvy8vJM7pOXl2cyXqfToaCgAO7u7rXGVNdpTrvV/2sq5s4lBaZPnw5vb2+4ubnh7NmziI2NxenTp5GamlrruFevXo1XXnnFqPzkyZOws7Ordb/6Ki0txbRpIZDJsiGV5gMAtNpShIbOQOvWeZDLi422GxpjybrNiamoKIVWOwYXL140OD9SqRQKhaLRjikREVG1kpISs+KsvryDRCIx2BZCGJXdLb5muTl1NkbM3Llz9X/28/ND165dERAQgIyMDAwYMMBk/2NjYxETE6Pf1mg08PT0REBAABwcHEzu0xBZWVlYsmQjnJxGo1UrbwBAYeFRnDmzA71774Szcy+j7YbGWLJuc2Ju3kzH2bMb0bGjt0Fi5eysxLZtG+Di4tJox5WIiAiA2U+6Wy3RcnFxgVQqNZq9ys/PN5pJqubm5mYyXiaTwdnZuc6Y6jrNadfNzQ1A1cyWu7u7WX0DgAEDBkAul+PSpUu1JlpKpVK/9tOdZDIZZLLGOx02NjbQ6Sqg09mgoqKqXp1OgvJyrb6s5nZDYyxZtzkxZWUluHVLAolkAVq37gYAKC29gt9+ewslJSX680lERNRYzP3NttrN8AqFAv7+/kaX2VJTUxEUFGRyn8DAQKP4gwcPIiAgAHK5vM6Y6jrNabf6cuCdMeXl5Th69GitfQOAc+fOQavVGiRndP9UL/fAJR+IiOhBYdVLhzExMYiIiEBAQAACAwOxdetW5OTkIDIyEkDVZbZr165h586dAIDIyEhs3LgRMTExmDt3LtRqNRISErB37159nc899xyGDh2KtWvXYuLEifjkk09w6NAhHD9+3Ox2JRIJoqKi8Prrr6Nr167o2rUrXn/9dbRq1QrTpk0DAFy+fBm7d+/GuHHj4OLigvPnz2PRokXo378/Bg8efL8OIRERET3ArJpohYeHo7CwEKtWrUJubi78/PyQkpICLy8vAEBubq7B2lbe3t5ISUlBdHQ0Nm3aBA8PD7z99tuYNGmSPiYoKAiJiYlYtmwZli9fDh8fH+zbtw8DBw40u10AePHFF1FaWor58+fjxo0bGDhwIA4ePKh/olChUOCrr77Chg0bUFxcDE9PTzz66KNYsWIFpFKppQ8dERERNQFWvxl+/vz5mD9/vsnvtm/fblQ2bNgwZGRk1Fnn5MmTMXny5Aa3C1TNaq1cuRIrV640+b2npyeOHj1aZxtERETUslk90SKyFK22zGC5BwcHB750moiI7ismWtQslZcXIjv7FyxYsEb/lKezsxJ79mxhskVERPeN1V8qTWQJFRXF0OkUUCii4eQUB6VyEQoLy8xe94SIiKgxcEaLmrXqJR8A4I43HxEREd0XnNEiIiIishDOaFGLUfPmeIA3yBMRkWUx0aIWwdTN8QBvkCciIstiokUtguHN8f97H2Jh4VvQaDRMtIiIyCKYaFGLcufN8QBvkCciIsvizfBEREREFsIZLWrRuHo8ERFZEhMtarG4ejwREVkaLx1Si8XV44mIyNI4o0UtHlePJyIiS2GiRXQHLmpKRESNiYkW0X9xUVMiImpsTLSI/ouLmhIRUWNjokVUQ81FTYuLuQQEERE1DBMtojpwCQgiIroXXN6BqA5cAoKIiO4FZ7SIzHDn5cSalxIBXk4kIiLTmGgR1QOfTCQiovpgokVUD3wykYiI6oOJFlED8MlEIiIyBxMtonvEJxOJiKg2TLSI7lHNy4mlpVeQl/c6zpw5Ay8vL30cZ7mIiFoeJlpEjaT6cmJtN8zb2wP/+MdyODs7A2DiRUTUEjDRImpkpm6Y12jOIDPzeTz99DJeXiQiakGYaBFZyJ03zJeWZvPyIhFRC8REi+g+4uVFIqKWhYkWkRWYe3mxZuIFMPkiImpKmGgRWVFdlxdNJV4AZ72IiJoSJlpED5jq5Ktm4gVw1ouIqKmxsXYHNm/eDG9vb6hUKvj7++PYsWN1xh89ehT+/v5QqVTo0qUL4uPjjWKSkpLg6+sLpVIJX19fJCcn17tdIQRWrlwJDw8P2NraYvjw4Th37pxBTFlZGRYsWAAXFxfY2dlhwoQJuHr1agOOAlHtqhMvOzsfyOUOdyRfcbCxmY3MzAt4+ullmDIlSv+ZPHkWvv/+e1y+fBmXL1/GhQsX9H+u/vz+++/WHhoRUbNn1Rmtffv2ISoqCps3b8bgwYPx7rvvIjQ0FOfPn0enTp2M4rOysjBu3DjMnTsXu3btwrfffov58+ejXbt2mDRpEgBArVYjPDwc//d//4fHH38cycnJCAsLw/HjxzFw4ECz233jjTewbt06bN++Hd26dcOrr76KMWPG4OLFi7C3twcAREVF4dNPP0ViYiKcnZ2xaNEijB8/Hunp6ZBKpffpKFJLVJ9ZL622DNevZ6FDh4cgk/3vn3zNmbDy8nIoFAqDdjgzRkR0b6yaaK1btw6zZ8/GnDlzAABxcXH48ssvsWXLFqxevdooPj4+Hp06dUJcXBwAoGfPnjh58iTefPNNfaIVFxeHMWPGIDY2FgAQGxuLo0ePIi4uDnv37jWrXSEE4uLisHTpUjzxxBMAgB07dsDV1RV79uzBvHnzUFRUhISEBHzwwQcYPXo0AGDXrl3w9PTEoUOHEBISYrkDR1RDXfd63bjxHUpLX4NUutAiyVjNMiZsRET/Y7VEq7y8HOnp6Vi8eLFBeXBwMNLS0kzuo1arERwcbFAWEhKChIQEaLVayOVyqNVqREdHG8VUJ2fmtJuVlYW8vDyDtpRKJYYNG4a0tDTMmzcP6enp0Gq1BjEeHh7w8/NDWloaEy2yujtnve7cBhovGatZZumE7X7GMDkkosZgtUSroKAAFRUVcHV1NSh3dXVFXl6eyX3y8vJMxut0OhQUFMDd3b3WmOo6zWm3+n9NxWRnZ+tjFAoF2rRpY3b/gar7usrKyvTbRUVFAIA//vgDOp2u1v3qS6PRQCKpRGnpBQAaAEB5+WXI5TYoL7+IkhKd0XZDYyxZN2MsG2NjUwJAAxubWwbbACDE75BIVJBIJkCh8EB5+X+g011HZeWjUCg8/luPYZmpmNLSX3HmTDxmz14KhUIBna4ceXk5cHf31l9ir1lm7RgAsLeX4OWXY4z+jRNR0+Lo6AgnJ6dGr1ejqf5vpag7UFjJtWvXBACRlpZmUP7qq6+K7t27m9yna9eu4vXXXzcoO378uAAgcnNzhRBCyOVysWfPHoOYXbt2CaVSaXa73377rQAgrl+/bhAzZ84cERISIoQQYvfu3UKhUBj1cfTo0WLevHm1jnvFihUCAD/88MMPP/zw0ww+V65cqfU3XwghrDaj5eLiAqlUajT7k5+fbzSTVM3Nzc1kvEwm01+SqC2muk5z2nVzcwNQNWvl7u5ea0x5eTlu3Lhh8P948/PzERQUVOu4Y2NjERMTo9+urKzEH3/8AWdnZ0gkklr3qy+NRgNPT09cuXIFDg4OjVbvg6oljbcljRVoWeNtSWMFON7mrCWMVQiBP//8Ex4eHnXGWS3RUigU8Pf3R2pqKh5//HF9eWpqKiZOnGhyn8DAQHz66acGZQcPHkRAQADkcrk+JjU11eA+rYMHD+qTH3Pa9fb2hpubG1JTU9G/f38AVfdwHD16FGvXrgUA+Pv7Qy6XIzU1FWFhYQCA3NxcnD17Fm+88Uat41YqlQaLTwKwyJRmNQcHh2b7l9yUljTeljRWoGWNtyWNFeB4m7PmPlZHR8e7B9U532VhiYmJQi6Xi4SEBHH+/HkRFRUl7OzsxK+//iqEEGLx4sUiIiJCH//LL7+IVq1aiejoaHH+/HmRkJAg5HK5+Oijj/Qx3377rZBKpWLNmjXiwoULYs2aNUImk4nvvvvO7HaFEGLNmjXC0dFR7N+/X5w5c0Y8+eSTwt3dXWg0Gn1MZGSk6Nixozh06JDIyMgQI0eOFH379hU6nc6Sh80sRUVFAoAoKiqydlfui5Y03pY0ViFa1nhb0liF4Hibs5Y01ruxaqIlhBCbNm0SXl5eQqFQiAEDBoijR4/qv5sxY4YYNmyYQfzXX38t+vfvLxQKhejcubPYsmWLUZ0ffvih6N69u5DL5aJHjx4iKSmpXu0KIURlZaVYsWKFcHNzE0qlUgwdOlScOXPGIKa0tFQ8++yzom3btsLW1laMHz9e5OTk3MPRaDwt7S95SxpvSxqrEC1rvC1prEJwvM1ZSxrr3Vg90SLLuH37tlixYoW4ffu2tbtyX7Sk8baksQrRssbbksYqBMfbnLWksd6NRIi7PZdIRERERA1h9XcdEhERETVXTLSIiIiILISJFhEREZGFMNEiIiIishAmWs3U5s2b4e3tDZVKBX9/fxw7dszaXarTypUrIZFIDD7VK/QDVSvwrly5Eh4eHrC1tcXw4cNx7tw5gzrKysqwYMECuLi4wM7ODhMmTMDVq1cNYm7cuIGIiAg4OjrC0dERERERuHnzpsXH98033+Avf/kLPDw8IJFI8PHHHxt8fz/Hl5OTg7/85S+ws7ODi4sLFi5ciPLy8vs21pkzZxqd60GDBjXJsa5evRoPP/ww7O3t0b59ezz22GO4ePGiQUxzOrfmjLe5nN8tW7agT58++gU3AwMD8fnnn+u/b07n1ZzxNpfzahXWfOSRLKN6Qdb33ntPnD9/Xjz33HPCzs5OZGdnW7trtVqxYoXo1auXyM3N1X/y8/P1369Zs0bY29uLpKQkcebMGREeHm5yAdkOHTqI1NRUkZGRIUaMGGG0gOzYsWOFn5+fSEtLE2lpacLPz0+MHz/e4uNLSUkRS5cuFUlJSQKASE5ONvj+fo1Pp9MJPz8/MWLECJGRkSFSU1OFh4eHePbZZ+/bWGfMmCHGjh1rcK4LCwsNYprKWENCQsS2bdvE2bNnxalTp8Sjjz4qOnXqJIqLi/UxzencmjPe5nJ+Dxw4IP7973+LixcviosXL4olS5YIuVwuzp49K4RoXufVnPE2l/NqDUy0mqFHHnlEREZGGpT16NFDLF682Eo9ursVK1aIvn37mvyusrJSuLm5iTVr1ujLbt++LRwdHUV8fLwQQoibN28KuVwuEhMT9THXrl0TNjY24osvvhBCCHH+/HkBwOAtAWq1WgAQ//nPfywwKtNqJh/3c3wpKSnCxsZGXLt2TR+zd+9eoVQqLbKwYG2J1sSJE2vdp6mOVQgh8vPzBQD9AsjN+dyaGq8Qzfv8tmnTRvzzn/9s9ue15niFaN7n1dJ46bCZKS8vR3p6OoKDgw3Kg4ODkZaWZqVemefSpUvw8PCAt7c3pk6dil9++QUAkJWVhby8PIMxKZVKDBs2TD+m9PR0aLVagxgPDw/4+fnpY9RqNRwdHTFw4EB9zKBBg+Do6GjVY3M/x6dWq+Hn52fwEtSQkBCUlZUhPT3douO809dff4327dujW7dumDt3LvLz8/XfNeWxFhUVAQDatm0LoPmf25rjrdbczm9FRQUSExNRUlKCwMDAZn9ea463WnM7r/eL1V4qTZZRUFCAiooKuLq6GpS7uroiLy/PSr26u4EDB2Lnzp3o1q0bfvvtN7z66qsICgrCuXPn9P02Nabs7GwAQF5eHhQKBdq0aWMUU71/Xl4e2rdvb9R2+/btrXps7uf48vLyjNpp06YNFArFfTsGoaGhmDJlCry8vJCVlYXly5dj5MiRSE9Ph1KpbLJjFUIgJiYG/+///T/4+fnp+1Dd95pjaern1tR4geZ1fs+cOYPAwEDcvn0brVu3RnJyMnx9ffVJQXM7r7WNF2he5/V+Y6LVTEkkEoNtIYRR2YMkNDRU/+fevXsjMDAQPj4+2LFjh/6Gy4aMqWaMqfgH5djcr/FZ+xiEh4fr/+zn54eAgAB4eXnh3//+N5544ola93vQx/rss8/ixx9/xPHjx42+a47ntrbxNqfz2717d5w6dQo3b95EUlISZsyYgaNHj9baflM/r7WN19fXt1md1/uNlw6bGRcXF0ilUqPMPz8/3+j/JTzI7Ozs0Lt3b1y6dEn/9GFdY3Jzc0N5eTlu3LhRZ8xvv/1m1Nbvv/9u1WNzP8fn5uZm1M6NGzeg1Wqtdgzc3d3h5eWFS5cuAWiaY12wYAEOHDiAI0eOoGPHjvry5npuaxuvKU35/CoUCjz00EMICAjA6tWr0bdvX2zYsKHZntfaxmtKUz6v9xsTrWZGoVDA398fqampBuWpqakICgqyUq/qr6ysDBcuXIC7uzu8vb3h5uZmMKby8nIcPXpUPyZ/f3/I5XKDmNzcXJw9e1YfExgYiKKiInz//ff6mBMnTqCoqMiqx+Z+ji8wMBBnz55Fbm6uPubgwYNQKpXw9/e36DhrU1hYiCtXrsDd3R1A0xqrEALPPvss9u/fj8OHD8Pb29vg++Z2bu82XlOa8vmtSQiBsrKyZnde7zZeU5rTebW4+3DDPd1n1cs7JCQkiPPnz4uoqChhZ2cnfv31V2t3rVaLFi0SX3/9tfjll1/Ed999J8aPHy/s7e31fV6zZo1wdHQU+/fvF2fOnBFPPvmkyUepO3bsKA4dOiQyMjLEyJEjTT5a3KdPH6FWq4VarRa9e/e+L8s7/PnnnyIzM1NkZmYKAGLdunUiMzNTv+TG/Rpf9aPTo0aNEhkZGeLQoUOiY8eOjfrodF1j/fPPP8WiRYtEWlqayMrKEkeOHBGBgYGiQ4cOTXKszzzzjHB0dBRff/21wWPvt27d0sc0p3N7t/E2p/MbGxsrvvnmG5GVlSV+/PFHsWTJEmFjYyMOHjwohGhe5/Vu421O59UamGg1U5s2bRJeXl5CoVCIAQMGGDx+/SCqXoNGLpcLDw8P8cQTT4hz587pv6+srBQrVqwQbm5uQqlUiqFDh4ozZ84Y1FFaWiqeffZZ0bZtW2FrayvGjx8vcnJyDGIKCwvF9OnThb29vbC3txfTp08XN27csPj4jhw5IgAYfWbMmHHfx5ednS0effRRYWtrK9q2bSueffZZcfv27fsy1lu3bong4GDRrl07IZfLRadOncSMGTOMxtFUxmpqnADEtm3b9DHN6dzebbzN6fzOmjVL/9/Qdu3aiVGjRumTLCGa13m923ib03m1BokQQty/+TMiIiKiloP3aBERERFZCBMtIiIiIgthokVERERkIUy0iIiIiCyEiRYRERGRhTDRIiIiIrIQJlpEREREFsJEi4iIiMhCmGgR0QNh+/btcHJyskjdEokEH3/8caPW2blzZ8TFxdUZ8+uvv0IikeDUqVNYuXIl+vXrZ/D9zJkz8dhjjzVqv6odPnwYPXr0QGVlpUXqr4+ysjJ06tQJ6enp1u4K0X3HRIuIGkV+fj7mzZuHTp06QalUws3NDSEhIVCr1dbumtV4enoiNzcXfn5+eP755/HVV1/dt7ZffPFFLF26FDY2Vf+Z3759OyQSidFHpVJZvC9KpRLPP/88XnrpJYu3RfSgkVm7A0TUPEyaNAlarRY7duxAly5d8Ntvv+Grr77CH3/8Ye2uWY1UKoWbmxsAoHXr1mjduvV9aTctLQ2XLl3ClClTDModHBxw8eJFgzKJRHJPbWm1Wsjl8rvGTZ8+HS+88AIuXLiAnj173lObRE0JZ7SI6J7dvHkTx48fx9q1azFixAh4eXnhkUceQWxsLB599FGDuL/97W9wdXWFSqWCn58fPvvsM4O6vvzyS/Ts2ROtW7fG2LFjkZubq//uhx9+wJgxY+Di4gJHR0cMGzYMGRkZBvtfunQJQ4cOhUqlgq+vL1JTU436e+3aNYSHh6NNmzZwdnbGxIkT8euvv+q/r76k9+abb8Ld3R3Ozs74+9//Dq1Wa1DPrVu3MGvWLNjb26NTp07YunWrwfdnzpzByJEjYWtrC2dnZ/ztb39DcXGxUX/qaqe8vBwvvvgiOnToADs7OwwcOBBff/117ScDQGJiIoKDg41mqyQSCdzc3Aw+rq6u+u9NXQ7t168fVq5caVBHfHw8Jk6cCDs7O7z66qsAgC1btsDHxwcKhQLdu3fHBx98YFCPs7MzgoKCsHfv3jr7TtTcMNEiontWPVvz8ccfo6yszGRMZWUlQkNDkZaWhl27duH8+fNYs2YNpFKpPubWrVt488038cEHH+Cbb75BTk4Onn/+ef33f/75J2bMmIFjx47hu+++Q9euXTFu3Dj8+eef+jaeeOIJSKVSfPfdd4iPjze6XHXr1i2MGDECrVu3xjfffIPjx4/rk7ry8nJ93JEjR3D58mUcOXIEO3bswPbt27F9+3aDut566y0EBAQgMzMT8+fPxzPPPIP//Oc/+nbGjh2LNm3a4IcffsCHH36IQ4cO4dlnnzWo427tPP300/j222+RmJiIH3/8EVOmTMHYsWNx6dKlWs/HN998g4CAgFq/v1crVqzAxIkTcebMGcyaNQvJycl47rnnsGjRIpw9exbz5s3D008/jSNHjhjs98gjj+DYsWMW6xfRA0kQETWCjz76SLRp00aoVCoRFBQkYmNjxenTp/Xff/nll8LGxkZcvHjR5P7btm0TAMTPP/+sL9u0aZNwdXWttU2dTifs7e3Fp59+qm9DKpWKK1eu6GM+//xzAUAkJycLIYRISEgQ3bt3F5WVlfqYsrIyYWtrK7788kshhBAzZswQXl5eQqfT6WOmTJkiwsPD9dteXl7ir3/9q367srJStG/fXmzZskUIIcTWrVtFmzZtRHFxsT7m3//+t7CxsRF5eXlmtfPzzz8LiUQirl27ZjDuUaNGidjY2FqPi6Ojo9i5c6dBWfXxtbOzM/iMGTPGYEzr16832K9v375ixYoV+m0AIioqyiAmKChIzJ0716BsypQpYty4cQZlGzZsEJ07d66130TNEWe0iKhRTJo0CdevX8eBAwcQEhKCr7/+GgMGDNDPzpw6dQodO3ZEt27daq2jVatW8PHx0W+7u7sjPz9fv52fn4/IyEh069YNjo6OcHR0RHFxMXJycgAAFy5cQKdOndCxY0f9PoGBgQZtpKen4+eff4a9vb1+Jq5t27a4ffs2Ll++rI/r1auXwWxbzb4AQJ8+ffR/rr4sVx1z4cIF9O3bF3Z2dvqYwYMHo7Ky0uA+qbraycjIgBAC3bp10/e1devWOHr0qEFfayotLTV5k7u9vT1OnTpl8Nm2bVut9dSm5mzZhQsXMHjwYIOywYMH48KFCwZltra2uHXrVr3bI2rKeDM8ETUalUqFMWPGYMyYMXj55ZcxZ84crFixAjNnzoStre1d9695U7VEIoEQQr89c+ZM/P7774iLi4OXlxeUSiUCAwP1l/zujL2zjjtVVlbC398fu3fvNopt165dnX2puVRCXTFCiFpvNL+zvK46KisrIZVKkZ6ebpCMAajzxnoXFxfcuHHDqNzGxgYPPfRQrfvZ2NgYHcOa96UBMEge7+z3nUyN/48//jA4xkQtAWe0iMhifH19UVJSAqBq9ufq1av46aefGlzfsWPHsHDhQowbNw69evWCUqlEQUGBQXs5OTm4fv26vqzm8hIDBgzApUuX0L59ezz00EMGH0dHxwb3rSZfX1+cOnVKP34A+Pbbb2FjY1PnrN6d+vfvj4qKCuTn5xv1tfppxtr2O3/+fL373K5dO4OHDzQaDbKysu66X8+ePXH8+HGDsrS0NKOnC8+ePYv+/fvXu19ETRkTLSK6Z4WFhRg5ciR27dqFH3/8EVlZWfjwww/xxhtvYOLEiQCAYcOGYejQoZg0aRJSU1ORlZWFzz//HF988YXZ7Tz00EP44IMPcOHCBZw4cQLTp083mCkbPXo0unfvjqeeegqnT5/GsWPHsHTpUoM6pk+fDhcXF0ycOBHHjh1DVlYWjh49iueeew5Xr15tnAPy33ZUKhVmzJiBs2fP4siRI1iwYAEiIiIMnvSrS7du3TB9+nQ89dRT2L9/P7KysvDDDz9g7dq1SElJqXW/kJAQo8QHqJplysvLM/pUz6CNHDkSH3zwAY4dO4azZ89ixowZRjNpprzwwgvYvn074uPjcenSJaxbtw779+83eJABqEqUg4ODzRo7UXPBRIuI7lnr1q0xcOBArF+/HkOHDoWfnx+WL1+OuXPnYuPGjfq4pKQkPPzww3jyySfh6+uLF198ERUVFWa38/777+PGjRvo378/IiIisHDhQrRv317/vY2NDZKTk1FWVoZHHnkEc+bMwWuvvWZQR6tWrfDNN9+gU6dOeOKJJ9CzZ0/MmjULpaWlcHBwuPeDcUc7X375Jf744w88/PDDmDx5MkaNGmVwPMyxbds2PPXUU1i0aBG6d++OCRMm4MSJE/D09Kx1n7/+9a84f/680ZpZGo0G7u7uRp/qe8JiY2MxdOhQjB8/HuPGjcNjjz1mcM9cbR577DFs2LAB//jHP9CrVy+8++672LZtG4YPH66PUavVKCoqwuTJk+s1fqKmTiJM3dRARERN2osvvoiioiK8++671u4KAGDKlCno378/lixZYu2uEN1XnNEiImqGli5dCi8vr3rNGFpKWVkZ+vbti+joaGt3hei+44wWERERkYVwRouIiIjIQphoEREREVkIEy0iIiIiC2GiRURERGQhTLSIiIiILISJFhEREZGFMNEiIiIishAmWkREREQWwkSLiIiIyEL+Pz8iCnUzCLf+AAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Lage- und Streuungsmaße:\n",
      "Mittlerer Schaden: 2358.45 Euro\n",
      "Standardabweichung: 2362.62 Euro\n",
      "Maximaler Schaden: 37886.00 Euro\n",
      "Minimaler Schaden: 0.01 Euro\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# gegebene Parameter\n",
    "anzahl_schaeden = 21_961_000\n",
    "gesamt_schaden = 51_792_000_000 # Euro\n",
    "n = 1_000_000 # Anzahl der Simulationen\n",
    "\n",
    "# # Simulation der Schadenshöhe (Exponentialverteilung)\n",
    "schaden = np.random.exponential(gesamt_schaden / anzahl_schaeden, n)\n",
    "\n",
    "# # Plot der Verteilung als Histogramm\n",
    "plt.hist(schaden, bins=100, density=True, alpha=0.7, color='blue', edgecolor='black')\n",
    "plt.title('Verteilung der Schadenshöhe')\n",
    "plt.xlabel('Schadenhöhe (Euro)')\n",
    "plt.ylabel('Häufigkeit')\n",
    "plt.grid(axis='y', alpha=0.75)\n",
    "plt.show()\n",
    "\n",
    "# Lage- und Streuungsmaße\n",
    "print(\"Lage- und Streuungsmaße:\")\n",
    "print(f\"Mittlerer Schaden: {np.mean(schaden):.2f} Euro\")\n",
    "print(f\"Standardabweichung: {np.std(schaden):.2f} Euro\")\n",
    "print(f\"Maximaler Schaden: {np.max(schaden):.2f} Euro\")\n",
    "print(f\"Minimaler Schaden: {np.min(schaden):.2f} Euro\")\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 5. Beispiel: Gammaverteilung"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Lage- und Streuungsmaße:\n",
      "Mittlerer Schaden: 2359.38 Euro\n",
      "Standardabweichung: 1179.87 Euro\n",
      "Maximaler Schaden: 11729.62 Euro\n",
      "Minimaler Schaden: 44.03 Euro\n"
     ]
    }
   ],
   "source": [
    "# gegebene Parameter\n",
    "anzahl_schaeden = 21_961_000\n",
    "gesamt_schaden = 51_792_000_000 # Euro\n",
    "avg_schaden = gesamt_schaden / anzahl_schaeden # Durchschnittlicher Schaden\n",
    "std_schaden = avg_schaden / 2 # Standardabweichung\n",
    "n = 1_000_000 # Anzahl der Simulationen\n",
    "varianz_schaden = std_schaden ** 2 # Varianz\n",
    "\n",
    "\n",
    "# Simulation der Schadenshöhe (Gammaverteilung)\n",
    "import numpy as np\n",
    "\n",
    "# shape ist p und scale ist 1/b\n",
    "shape = (avg_schaden ** 2) / varianz_schaden\n",
    "scale = varianz_schaden / avg_schaden\n",
    "\n",
    "schaden = np.random.gamma(shape, scale, n)\n",
    "\n",
    "# Plot der Verteilung als Histogramm\n",
    "plt.hist(schaden, bins=100, density=True, alpha=0.7, color='blue', edgecolor='blue')\n",
    "plt.title('Verteilung der Schadenshöhe (Gamma-Verteilung)')\n",
    "plt.xlabel('Schadenhöhe (Euro)')\n",
    "plt.ylabel('Häufigkeit')\n",
    "plt.grid(axis='y', alpha=0.75)\n",
    "plt.show()\n",
    "\n",
    "# Lage- und Streuungsmaße\n",
    "print(\"Lage- und Streuungsmaße:\")\n",
    "print(f\"Mittlerer Schaden: {np.mean(schaden):.2f} Euro\")\n",
    "print(f\"Standardabweichung: {np.std(schaden):.2f} Euro\")\n",
    "print(f\"Maximaler Schaden: {np.max(schaden):.2f} Euro\")\n",
    "print(f\"Minimaler Schaden: {np.min(schaden):.2f} Euro\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 6. Beispiel: Log-Normalverteilung"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Lage- und Streuungsmaße:\n",
      "Mittleres Jahreseinkommen: 27520.03 Euro\n",
      "Standardabweichung: 16894.37 Euro\n",
      "Maximaler Jahreseinkommen: 467172.37 Euro\n",
      "Minimaler Jahreseinkommen: 1303.06 Euro\n"
     ]
    }
   ],
   "source": [
    "# gegebene Parameter\n",
    "avg_jahreseinkommen = 27_520 # Euro\n",
    "median_jahreseinkommen = 23_460 # Euro\n",
    "n = 1_000_000 # Anzahl der Simulationen\n",
    "\n",
    "# Simulation der Jahreseinkommen (Lognormalverteilung)\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# Berechnung der Parameter fuer die Lognormalverteilung\n",
    "mu = np.log(median_jahreseinkommen)\n",
    "\n",
    "# Berechnung von sigma mit der variable mu\n",
    "sigma = np.sqrt((np.log(avg_jahreseinkommen)- mu) * 2)\n",
    "\n",
    "jahreseinkommen = np.random.lognormal(mu, sigma, n)\n",
    "\n",
    "# Plot der Verteilung als Histogramm\n",
    "plt.hist(jahreseinkommen, bins=100, density=True, alpha=0.7, color='blue', edgecolor='blue')\n",
    "plt.title('Verteilung der Jahreseinkommen (Lognormalverteilung)')\n",
    "plt.xlabel('Jahreseinkommen (Euro)')\n",
    "plt.ylabel('Häufigkeit')\n",
    "plt.grid(axis='y', alpha=0.75)\n",
    "plt.show()\n",
    "\n",
    "# Lage- und Streuungsmaße\n",
    "print(\"Lage- und Streuungsmaße:\")\n",
    "print(f\"Mittleres Jahreseinkommen: {np.mean(jahreseinkommen):.2f} Euro\")\n",
    "print(f\"Standardabweichung: {np.std(jahreseinkommen):.2f} Euro\")\n",
    "print(f\"Maximaler Jahreseinkommen: {np.max(jahreseinkommen):.2f} Euro\")\n",
    "print(f\"Minimaler Jahreseinkommen: {np.min(jahreseinkommen):.2f} Euro\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 7. Beispiel: Beta-Verteilung"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Lage- und Streuungsmaße:\n",
      "Mittlerer BMI: 26.00\n",
      "Standardabweichung: 3.05\n",
      "Maximaler BMI: 38.31\n",
      "Minimaler BMI: 18.21\n"
     ]
    }
   ],
   "source": [
    "# gegebene Parameter\n",
    "anzahl_personen = 1_000_000\n",
    "bmi_untere_grenze = 18\n",
    "bmi_obere_grenze = 40\n",
    "b = bmi_obere_grenze - bmi_untere_grenze\n",
    "a = bmi_untere_grenze\n",
    "mu = 26 # Durchschnittlicher BMI\n",
    "\n",
    "# alpha und beta fuer die Beta-Verteilung\n",
    "alpha = 4\n",
    "beta = 7\n",
    "\n",
    "\n",
    "# Simulation der BMI-Werte (Beta-Verteilung)\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# Erzeugung der Beta-Verteilung\n",
    "x = np.random.beta(alpha, beta, anzahl_personen)\n",
    "bmi = a + b * x\n",
    "\n",
    "# Plot der Verteilung als Histogramm\n",
    "plt.hist(bmi, bins=100, density=True, alpha=0.7, color='blue', edgecolor='blue')\n",
    "plt.title('Verteilung der BMI-Werte (Beta-Verteilung)')\n",
    "plt.xlabel('BMI-Wert')\n",
    "plt.ylabel('Häufigkeit')\n",
    "plt.grid(axis='y', alpha=0.75)\n",
    "plt.show()\n",
    "\n",
    "# Lage- und Streuungsmaße\n",
    "print(\"Lage- und Streuungsmaße:\")\n",
    "print(f\"Mittlerer BMI: {np.mean(bmi):.2f}\")\n",
    "print(f\"Standardabweichung: {np.std(bmi):.2f}\")\n",
    "print(f\"Maximaler BMI: {np.max(bmi):.2f}\")\n",
    "print(f\"Minimaler BMI: {np.min(bmi):.2f}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 2.1 Multivariate Normalverteilung"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x800 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Lage- und Streuungsmaße:\n",
      "Sentiment: Mittelwert = -0.0006, Std = 1.0001\n",
      "Rendite: Mittelwert = 0.0015, Std = 0.0600\n",
      "Korrelation der erzeugten Zufallszahlenpaare: 0.5992\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# Parameter\n",
    "n = 1_000_000\n",
    "mu_sentiment = 0\n",
    "sigma_sentiment = 1\n",
    "mu_rendite = 0.0015\n",
    "sigma_rendite = 0.06\n",
    "\n",
    "# Korrelation\n",
    "r = 0.6\n",
    "\n",
    "# Kovarianzmatrix\n",
    "cov = [[sigma_sentiment**2, r * sigma_sentiment * sigma_rendite],\n",
    "    [r * sigma_sentiment * sigma_rendite, sigma_rendite**2]]\n",
    "\n",
    "mean = [mu_sentiment, mu_rendite]\n",
    "\n",
    "# Zufallszahlen erzeugen\n",
    "data = np.random.multivariate_normal(mean, cov, n)\n",
    "sentiment = data[:, 0]\n",
    "rendite = data[:, 1]\n",
    "\n",
    "# Streudiagramm und Randverteilungen\n",
    "fig = plt.figure(figsize=(10, 8))\n",
    "gs = fig.add_gridspec(2, 2, width_ratios=(7, 2), height_ratios=(2, 7),\n",
    "             wspace=0.05, hspace=0.05)\n",
    "\n",
    "ax_scatter = fig.add_subplot(gs[1, 0])\n",
    "ax_histx = fig.add_subplot(gs[0, 0], sharex=ax_scatter)\n",
    "ax_histy = fig.add_subplot(gs[1, 1], sharey=ax_scatter)\n",
    "\n",
    "# Streudiagramm\n",
    "ax_scatter.scatter(sentiment, rendite, alpha=0.05, s=1)\n",
    "ax_scatter.set_xlabel('Social Media Sentiment')\n",
    "ax_scatter.set_ylabel('Wöchentliche Rendite')\n",
    "\n",
    "# Histogramme\n",
    "ax_histx.hist(sentiment, bins=100, color='blue', alpha=0.7)\n",
    "ax_histy.hist(rendite, bins=100, orientation='horizontal', color='green', alpha=0.7)\n",
    "\n",
    "ax_histx.axis('off')\n",
    "ax_histy.axis('off')\n",
    "\n",
    "plt.show()\n",
    "\n",
    "# Lage- und Streuungsmaße\n",
    "print(\"Lage- und Streuungsmaße:\")\n",
    "print(f\"Sentiment: Mittelwert = {np.mean(sentiment):.4f}, Std = {np.std(sentiment):.4f}\")\n",
    "print(f\"Rendite: Mittelwert = {np.mean(rendite):.4f}, Std = {np.std(rendite):.4f}\")\n",
    "\n",
    "# Korrelation bestimmen\n",
    "korrelation = np.corrcoef(sentiment, rendite)[0, 1]\n",
    "print(f\"Korrelation der erzeugten Zufallszahlenpaare: {korrelation:.4f}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Multivariate Zufallszahlen"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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b2xt169Yt9fMXL140DCWpjP5CMv0pZY1Gg1GjRuHKlSulhpwAxRfxeHh4GO77+fmV2Qa9CRMm4Pvvv8c333xjdFo7KysL06dPR+PGjeHg4AAHBwfUqlUL2dnZhvfvfgMHDjS637JlSwCl/+9MkZCQgJdeegnh4eGG/wdZ/v7+aNu2reG+/r1o1aqV4WI0oPz3GCi+Av1+zZs3h0ajwZNPPmnYpn/v7//5HTt2ICwsDK1atTL6e+zdu3eZp8nL+0yX5ODggBEjRmDz5s1IT08HUDxkY+3atXjqqafg4+MDAHjkkUcAAEOGDMHXX3+NGzduVPrcFYmIiICdnZ2h3YcOHUK7du1Qq1YteHh4oE2bNob9xaFDh+Dg4IDHHnsMQPHfZWhoKNq3b2/0nKNGjYIQAgcOHDDa3q9fP9jb2xvul/c50mg0pfYRLVu2rNLnTeY54+Li4OHhYTTGGACGDRtmdN/b2xuNGjXCRx99hPnz5+OXX34pNQwjLi4OQPH7dL9nnnmm3GsoSu779f/v9w9hAID27dujefPmZe4jAOCFF14AAHTq1AlHjx41eszUzy8pA4tbsqh27dph+vTp+Oabb3Dz5k288cYbuHz5skkXlZW8MvzPP/8EULxTdHR0NLrNmTMHQgikpqaa1M7bt2/DwcHB8IWpp9PpKv3ZoqIi9OrVC5s3b8a0adOwf/9+nDhxwjB2LicnBwCQlpYGIQT8/PxKPUdZ24DSrx0ATpw4gV69egEAVqxYgR9//BEnT57E22+/bfT79Ly9vY3u6wvr8rbfu3fPaLubmxtcXFxKZUv+vH57yZ+XlZmZiW+++Qbt27dHnTp1cOfOHdy5cwd/+9vfoNFoyiz4Sr5fAODs7Fzq/wAA3n//fSxfvhyffvppqS/r4cOHY+nSpfj73/+OPXv24MSJEzh58iTq1KlT5nOV/L3Ozs4ASv/fy9K/TkdHR2zZssXooENGee+F7Htc1nM4OTmV+97f//N//vknfvvtt1J/ix4eHhBClDqQNWWmh5dffhn37t3Dxo0bAQB79uxBUlISXnrpJUOmS5cu2Lp1KwoKCvDiiy+ifv36CAsLw4YNG6R/z/1q166NVq1aGQqpgwcPIiIiwvB4RESEoeA5ePAg2rVrZzjAun37dpmvT3+Acfv2baPtsp+jst4HZ2fnB/5bk33O27dvS+2vNBoN9u/fj969e2Pu3Llo06YN6tSpg9dffx2ZmZmG5yrrZ8va7+qV/L/UP0d5/8cl/3/1OnTogBMnTqBOnTp4/PHH8dZbbxkeM/XzS8rA2RJIMRwdHTFr1iwsWLAACQkJ0j9X8kIr/cUAS5YswaOPPlrmz+h3oC4uLmXOk1pyh+Xj44OCggLcvn3baEdbcr7LsiQkJODXX3/F6tWrMXLkSMP2kr2VXl5e0Gg0huL8fuX9npKvHQA2btwIR0dH7Nixw+jLydqnzNqwYQPu3r2LEydOlNmzt2XLFqSlpUn1+pW0evVqzJw5E1FRUaUuNEpPT8eOHTswa9YsvPnmm4btubm5Jh8kPYiioiIMHz4cly5dwvbt29GoUaNq/53m5OvrC1dXV3zxxRflPn6/sj7T5dH3gq5atQpjxozBqlWrEBAQYDi403vqqafw1FNPITc3F8ePH0dMTAyGDx+O4OBgdOzY0eTX1K1bN8ybNw+//fYbzpw5Y3QwHhERgfnz5+O3337D5cuXjXoxfXx8kJSUVOr59Bcblvy/MCf9vqDk/q4qxZmPjw9OnDhRantZ+6ugoCDDAeiFCxfw9ddfIyoqCnl5eVi+fLlhv/rnn38anUnS73fLUvKzon+OpKSkUjMk3Lx5s8L/3/DwcPzwww9455138MEHH6Bdu3YYPHiwyZ9fUgb23JJFlLWDB/53iv7+U6Xl9bSVp3PnzqhduzbOnj2Ldu3alXnT91AFBwcjJSXFqKDMy8vDnj17jJ5TP0fll19+abR9/fr1lbZHvwPW97roffrpp0b33d3d0a5dO2zduhV5eXmG7VlZWaWu8K/s9zk4OBidzszJycHatWuln0OJVq5cCQ8PD+zfvx8HDx40un300UfIzc0t9f7I2L17N1555RW8/PLLmDVrVqnHNRoNhBCl3r/PP/8chYWFD/x6ZM2cORO7du1CVFQU+vXrV+2/z9z69++PS5cuwcfHp8y/xbJmKzHFSy+9hJ9++glHjhzB9u3bMXLkSKPP/v2cnZ0RERGBOXPmAAB++eWXB/qd+v3B7NmzYWdnZxh2AMDw79mzZxtlAaB79+44e/Ys4uPjjZ7v3//+NzQaTbXOhav/f/7tt9+Mtm/btu2BnzMiIgKZmZnYtWuX0XZ9T3p5mjZtinfeeQfh4eGG/wv9VGkl5zn/9ttvUVBQINWeJ554AgCwbt06o+0nT57EuXPn0L1790qfQ9/rrx9+Ud2fX6oe7Lkli+jduzfq16+PAQMG4KGHHkJRURFOnz6NefPmoVatWpg0aZIhGx4ejo0bN+Krr75Cw4YN4eLigvDw8HKfu1atWliyZAlGjhyJ1NRUPPPMM6hbty7++usv/Prrr/jrr7+wbNkyAMBzzz2Hd999F0OHDsU//vEP3Lt3D4sXLy5VtPTq1QtdunTBtGnTkJ2djXbt2uHHH3+UKhgfeughNGrUCG+++SaEEPD29sb27dsRGxtbKvvee++hX79+6N27NyZNmoTCwkJ89NFHqFWrlnQvYb9+/TB//nwMHz4cr776Km7fvo1//etfpYozpWjcuDGA0j3Z90tISMCJEycwbtw4wxfY/Tp37ox58+Zh5cqVmDBhgvTvTkxMxLPPPouGDRvipZdeKjXNUuvWreHp6YkuXbrgo48+gq+vL4KDgxEXF4eVK1eWmhje3LZu3YqYmBi0aNECPXv2LNU+vdDQUHh6elZrWx5UZGQkNm3ahC5duuCNN95Ay5YtUVRUhKtXr2Lv3r2YMmUKOnTo8MDPP2zYMEyePBnDhg1Dbm5uqfGW7777Lq5fv47u3bujfv36uHPnDhYtWgRHR0ej4QQODg6IiIgod1zm/bp06QJ7e3ts2bLFaNgBUDxs4eGHH8aWLVvg6OiIzp07Gx5744038O9//xv9+vXDe++9h6CgIHz//ff45JNPMG7cODRt2vSB/x8qo9Pp0KNHD8TExMDLywtBQUHYv38/Nm/e/MDPOXLkSCxYsAAjRozA+++/j8aNG2PXrl2GzgH9tI6//fYbJkyYgGeffRZNmjSBk5MTDhw4gN9++81wNqRFixYYNmwY5s2bB3t7ezzxxBM4c+YM5s2bB61WazRFZHmaNWuGV199FUuWLIGdnR2efPJJXL58GTNnzkRgYCDeeOONUj/z22+/4cCBAwgLC4MQAh9//DEcHBwMBxrV/fml6sHilizinXfewXfffYcFCxYgKSkJubm58Pf3R48ePTBjxgzDhS1AcQ9IUlISXnnlFWRmZiIoKKjS5UVHjBiBBg0aYO7cuRgzZgwyMzMNF9Dc/+UXEhKC7777Dm+99RaeeeYZ+Pv7Y/Lkyfjrr78MPS9A8U5627ZtmDx5MubOnYu8vDx07twZO3fuxEMPPVRhWxwdHbF9+3ZMmjQJY8aMgYODA3r06IF9+/ahQYMGRtk+ffpg06ZNePfdd/Hcc89Bp9Phtddew82bN6V7Xp944gl88cUXmDNnDgYMGIB69erhlVdeQd26dTF69Gip56hJMr0y+tOZY8aMKfNxR0dHjBo1Ch9++CHi4+ONLgaryJUrV5CVlYULFy7g8ccfL/V4YmIigoODsX79ekyaNAnTpk1DQUEBOnfujNjY2GrvSd26dSuEEDhz5gw6depUbu7gwYOVLuVrKe7u7jh8+DA+/PBDfPbZZ0hMTISrqysaNGiAHj16VLnnS6vV4m9/+xvWr1+Pzp07lyoQO3TogJ9//hnTp0/HX3/9hdq1a6Ndu3Y4cOAAWrRoYcgVFhZK98R7eHigbdu2OHHihFGBrBcREYFffvkF7du3NxofXadOHRw9ehQzZszAjBkzkJGRgYYNG2Lu3LkmLc/7oNauXYuJEydi+vTpKCwsxIABA7Bhwwa0a9fugZ7P3d0dBw4cQGRkJKZNmwaNRoNevXrhk08+Qd++fQ0HfzqdDo0aNcInn3yCa9euQaPRoGHDhpg3bx4mTpxoeL5Vq1bB398fK1euxIIFC9CqVSt8/fXX6NOnj/SB5LJly9CoUSOsXLkSH3/8MbRaLfr06YOYmJgyx+4WFhZi9erVuHDhApycnBAaGootW7agVatWhtdYnZ9fqh4aIUrM6k5EipKfn2+Y0WDv3r2Wbg4RUYWio6Pxzjvv4OrVq2WuDmaKo0ePonPnzvjyyy+lZ6chYs8tkcKMHj0aPXv2hL+/P5KTk7F8+XKcO3cOixYtsnTTiIiMLF26FEDx8Kv8/HwcOHAAixcvxogRI0wubGNjY3Hs2DG0bdsWrq6u+PXXX/Hhhx+iSZMmGDx4cHU0n1SKxS2RwmRmZmLq1Kn466+/4OjoiDZt2mDnzp3o0aOHpZtGRGTEzc0NCxYswOXLl5Gbm4sGDRpg+vTpeOedd0x+Lk9PT+zduxcLFy5EZmYmfH198eSTTyImJqbUtGREFeGwBCIiIiJSDU4FRkRERESqweKWiIiIiFSDxS0RERERqQYvKEPx8pY3b96Eh4eHSUs/EhEREVHNEEIgMzMTAQEBFS7sweIWxWtOBwYGWroZRERERFSJa9euVTjVHItbwLB04rVr1xS7hCURERGRLcvIyEBgYKDRktdlYXELGIYieHp6srglIiIiUrDKhpDygjIiIiIiUg0Wt0RERESkGixuiYiIiEg1WNwSERERkWqwuCUiIiIi1WBxS0RERESqweKWiIiIiFSDxS0RERERqQaLWyIiIiJSDRa3RERERKQaLG6JiIiISDVY3BIRERGRarC4JSIiIiLVcLB0A4iIiIjIuhQWCZxITEVK5j3U9XBB+xBv2NtpLN0sACxuiYiIiMgEuxOSMHv7WSSl3zNs89e6YNaAUPQJ87dgy4pxWAIRERERSdmdkIRx6+KNClsASE6/h3Hr4rE7IclCLfsfFrdEREREVKnCIoHZ289ClPGYftvs7WdRWFRWouawuCUiIiKiSp1ITC3VY3s/ASAp/R5OJKbWXKPKwOKWiIiIiCqVkll+YfsguerC4paIiIiIKlXXw8WsuerC4paIiIiIKtU+xBv+WheUN+GXBsWzJrQP8a7JZpXC4paIiIiIKmVvp8GsAaEAUKrA1d+fNSDU4vPdsrglIiIiIil9wvyxbEQb6LTGQw90WhcsG9FGEfPcchEHIiIiIpLWJ8wfPUN1XKGMiIiIiNTB3k6Djo18LN2MMnFYAhERERGpBotbIiIiIlINFrdEREREpBosbomIiIhINVjcEhEREZFqsLglIiIiItWwaHFbUFCAd955ByEhIXB1dUXDhg3x3nvvoaioyJARQiAqKgoBAQFwdXVF165dcebMGaPnyc3NxcSJE+Hr6wt3d3cMHDgQ169fr+mXQ0REREQWZtHids6cOVi+fDmWLl2Kc+fOYe7cufjoo4+wZMkSQ2bu3LmYP38+li5dipMnT0Kn06Fnz57IzMw0ZCIjI7FlyxZs3LgRR44cQVZWFvr374/CwkJLvCwiIiIishCNEEJY6pf3798ffn5+WLlypWHb008/DTc3N6xduxZCCAQEBCAyMhLTp08HUNxL6+fnhzlz5mDMmDFIT09HnTp1sHbtWjz33HMAgJs3byIwMBA7d+5E7969K21HRkYGtFot0tPT4enpWT0vloiIiIgemGy9ZtGe28ceewz79+/HhQsXAAC//vorjhw5gr59+wIAEhMTkZycjF69ehl+xtnZGRERETh69CgA4NSpU8jPzzfKBAQEICwszJApKTc3FxkZGUY3IiIiIrJ+Fl1+d/r06UhPT8dDDz0Ee3t7FBYW4oMPPsCwYcMAAMnJyQAAPz8/o5/z8/PDlStXDBknJyd4eXmVyuh/vqSYmBjMnj3b3C+HiIiIiCzMoj23X331FdatW4f169cjPj4ea9aswb/+9S+sWbPGKKfRaIzuCyFKbSuposyMGTOQnp5uuF27dq1qL4SIiIiIFMGiPbf/+Mc/8Oabb2Lo0KEAgPDwcFy5cgUxMTEYOXIkdDodgOLeWX9/f8PPpaSkGHpzdTod8vLykJaWZtR7m5KSgk6dOpX5e52dneHs7FxdL4uIiIiILMSiPbd3796FnZ1xE+zt7Q1TgYWEhECn0yE2NtbweF5eHuLi4gyFa9u2beHo6GiUSUpKQkJCQrnFLRERERGpk0V7bgcMGIAPPvgADRo0QIsWLfDLL79g/vz5ePnllwEUD0eIjIxEdHQ0mjRpgiZNmiA6Ohpubm4YPnw4AECr1WL06NGYMmUKfHx84O3tjalTpyI8PBw9evSw5MsjIiIiohpm0eJ2yZIlmDlzJl577TWkpKQgICAAY8aMwbvvvmvITJs2DTk5OXjttdeQlpaGDh06YO/evfDw8DBkFixYAAcHBwwZMgQ5OTno3r07Vq9eDXt7e0u8LCIiIiKyEIvOc6sUnOeWiIiISNmsYp5bIiIiIiJzYnFLRERERKrB4paIiIiIVIPFLRERERGpBotbIiIiIlINFrdEREREpBosbomIiIhINVjcEhEREZFqsLglIiIiItVgcUtEREREqsHiloiIiIhUg8UtEREREakGi1siIiIiUg0Wt0RERESkGixuiYiIiEg1WNwSERERkWqwuCUiIiIi1WBxS0RERESqweKWiIiIiFSDxS0RERERqQaLWyIiIiJSDRa3RERERKQaLG6JiIiISDVY3BIRERGRarC4JSIiIiLVYHFLRERERKrB4paIiIiIVIPFLRERERGpBotbIiIiIlINFrdEREREpBosbomIiIhINVjcEhEREZFqsLglIiIiItVgcUtEREREqsHiloiIiIhUg8UtEREREakGi1siIiIiUg0Wt0RERESkGixuiYiIiEg1WNwSERERkWqwuCUiIiIi1bBocRscHAyNRlPqNn78eACAEAJRUVEICAiAq6srunbtijNnzhg9R25uLiZOnAhfX1+4u7tj4MCBuH79uiVeDhERERFZmEWL25MnTyIpKclwi42NBQA8++yzAIC5c+di/vz5WLp0KU6ePAmdToeePXsiMzPT8ByRkZHYsmULNm7ciCNHjiArKwv9+/dHYWGhRV4TEREREVmORgghLN0IvcjISOzYsQP//e9/AQABAQGIjIzE9OnTART30vr5+WHOnDkYM2YM0tPTUadOHaxduxbPPfccAODmzZsIDAzEzp070bt37zJ/T25uLnJzcw33MzIyEBgYiPT0dHh6elbzqyQiIiIiU2VkZECr1VZarylmzG1eXh7WrVuHl19+GRqNBomJiUhOTkavXr0MGWdnZ0RERODo0aMAgFOnTiE/P98oExAQgLCwMEOmLDExMdBqtYZbYGBg9b0wIiIiIqoxiilut27dijt37mDUqFEAgOTkZACAn5+fUc7Pz8/wWHJyMpycnODl5VVupiwzZsxAenq64Xbt2jUzvhIiIiIishQHSzdAb+XKlXjyyScREBBgtF2j0RjdF0KU2lZSZRlnZ2c4Ozs/eGOJiIiISJEU0XN75coV7Nu3D3//+98N23Q6HQCU6oFNSUkx9ObqdDrk5eUhLS2t3AwRERER2Q5FFLerVq1C3bp10a9fP8O2kJAQ6HQ6wwwKQPG43Li4OHTq1AkA0LZtWzg6OhplkpKSkJCQYMgQERERke2w+LCEoqIirFq1CiNHjoSDw/+ao9FoEBkZiejoaDRp0gRNmjRBdHQ03NzcMHz4cACAVqvF6NGjMWXKFPj4+MDb2xtTp05FeHg4evToYamXREREREQWYvHidt++fbh69SpefvnlUo9NmzYNOTk5eO2115CWloYOHTpg79698PDwMGQWLFgABwcHDBkyBDk5OejevTtWr14Ne3v7mnwZRERERKQAiprn1lJk500jIiIiIsuwunluiYiIiIiqisUtEREREakGi1siIiIiUg0Wt0RERESkGixuiYiIiEg1WNwSERERkWqwuCUiIiIi1WBxS0RERESqweKWiIiIiFSDxS0RERERqQaLWyIiIiJSDRa3RERERKQaLG6JiIiISDVY3BIRERGRarC4JSIiIiLVYHFLRERERKrB4paIiIiIVIPFLRERERGpBotbIiIiIlINFrdEREREpBosbomIiIhINVjcEhEREZFqsLglIiIiItVgcUtEREREqsHiloiIiIhUg8UtEREREakGi1siIiIiUg0Wt0RERESkGixuiYiIiEg1WNwSERERkWqwuCUiIiIi1WBxS0RERESqweKWiIiIiFSDxS0RERERqQaLWyIiIiJSDRa3RERERKQaLG6JiIiISDVY3BIRERGRarC4JSIiIiLVYHFLRERERKph8eL2xo0bGDFiBHx8fODm5oZWrVrh1KlThseFEIiKikJAQABcXV3RtWtXnDlzxug5cnNzMXHiRPj6+sLd3R0DBw7E9evXa/qlEBEREZGFWbS4TUtLQ+fOneHo6Ihdu3bh7NmzmDdvHmrXrm3IzJ07F/Pnz8fSpUtx8uRJ6HQ69OzZE5mZmYZMZGQktmzZgo0bN+LIkSPIyspC//79UVhYaIFXRURERESWohFCCEv98jfffBM//vgjDh8+XObjQggEBAQgMjIS06dPB1DcS+vn54c5c+ZgzJgxSE9PR506dbB27Vo899xzAICbN28iMDAQO3fuRO/evSttR0ZGBrRaLdLT0+Hp6Wm+F0hEREREZiFbr1m053bbtm1o164dnn32WdStWxetW7fGihUrDI8nJiYiOTkZvXr1MmxzdnZGREQEjh49CgA4deoU8vPzjTIBAQEICwszZErKzc1FRkaG0Y2IiIiIrJ9Fi9s//vgDy5YtQ5MmTbBnzx6MHTsWr7/+Ov79738DAJKTkwEAfn5+Rj/n5+dneCw5ORlOTk7w8vIqN1NSTEwMtFqt4RYYGGjul0ZEClZYJHDs0m18d/oGjl26jcIii53AIiIiM3Ow5C8vKipCu3btEB0dDQBo3bo1zpw5g2XLluHFF1805DQajdHPCSFKbSuposyMGTMwefJkw/2MjAwWuEQ2YndCEmZvP4uk9HuGbf5aF8waEIo+Yf4WbBkREZmDRXtu/f39ERoaarStefPmuHr1KgBAp9MBQKke2JSUFENvrk6nQ15eHtLS0srNlOTs7AxPT0+jGxGp3+6EJIxbF29U2AJAcvo9jFsXj90JSRZqGRERmYtFi9vOnTvj/PnzRtsuXLiAoKAgAEBISAh0Oh1iY2MNj+fl5SEuLg6dOnUCALRt2xaOjo5GmaSkJCQkJBgyRESFRQKzt59FWQMQ9Ntmbz/LIQpERFbOosMS3njjDXTq1AnR0dEYMmQITpw4gc8++wyfffYZgOLhCJGRkYiOjkaTJk3QpEkTREdHw83NDcOHDwcAaLVajB49GlOmTIGPjw+8vb0xdepUhIeHo0ePHpZ8eUSkICcSU0v12N5PAEhKv4cTiano2Min5hpGRERmZdHi9pFHHsGWLVswY8YMvPfeewgJCcHChQvx/PPPGzLTpk1DTk4OXnvtNaSlpaFDhw7Yu3cvPDw8DJkFCxbAwcEBQ4YMQU5ODrp3747Vq1fD3t7eEi+LiBQoJbP8wvZBckREpEwWnedWKTjPLZH6Hbt0G8NWHK80t+GVR9lzS0SkQFYxzy0RUU1pH+INf60LyptnRYPiWRPah3jXZLOIiMjMWNwSkU2wt9Ng1oDi2VlKFrj6+7MGhMLeruJpBomISNlY3BKRzegT5o9lI9pAp3Ux2q7TumDZiDac55aISAUsekEZEVFN6xPmj56hOpxITEVK5j3U9SgeisAeW+tRWCT4/hFRuVjcEpHNsbfT8KIxK8UV5oioMhyWQEREVoErzBGRDBa3RESkeFxhjohksbglIiLFM2WFOSKybSxuiYhI8bjCHBHJYnFLRESKV9fDpfKQCTkiUi8Wt0REpHhcYY6IZLG4JSIixeMKc0Qky+R5bi9fvozDhw/j8uXLuHv3LurUqYPWrVujY8eOcHHh6SAiIqoe+hXmSs5zq+M8t0R0H+nidv369Vi8eDFOnDiBunXrol69enB1dUVqaiouXboEFxcXPP/885g+fTqCgoKqs81ERGSjuMIcEVVGqrht06YN7OzsMGrUKHz99ddo0KCB0eO5ubk4duwYNm7ciHbt2uGTTz7Bs88+Wy0NJiKiiql9eVquMEdEFdEIISqd8fr7779Hv379pJ7w1q1bSExMxCOPPFLlxtWUjIwMaLVapKenw9PT09LNISJ6YFyelojUSrZekypu1Y7FLRGpgX552pI7dX2f7bIRbVjgEpHVkq3XpGdLuHLlCj799FPk5eUBAD7++OOqt5KIiMyCy9OSNSksEjh26Ta+O30Dxy7d5ueSzEr6grLhw4cjNDQUW7duxdatW/Hll19i/Pjx1dk2IqJqocYxqaYsT8vxqmRJHDpD1U26uM3NzcWKFSuwe/duTJgwoTrbRERUbdT6xcrlackalDd0Jjn9Hsati+fQGTIL6WEJXl5eAIA+ffogODgYv/76a7U1ioioOui/WEv2cOq/WHcnJFmoZVXH5WlJ6Th0hmqKdM/t66+/jvz8fDg6OuKtt96Cu7t7dbaLiMisKvti1aD4i7VnqM4qhyjol6dNTr9X5mvUoHixAzUsT6vGYSW2gENnqKZIF7cDBgww/Fuj0SAyMrI62kNEVC3U/sWqX5523Lp4aACjAldNy9OqdViJLeDQGaopJi+/K4TAt99+i4MHDyIlJQVFRUVGj2/evNlsjSMiMhdb+GJV+/K0HK9p3Th0hmqKycXtpEmT8Nlnn6Fbt27w8/ODRmPdvQBEZBts5YtVrcvTqn1YiS2wpaEzZFkmF7fr1q3D5s2b0bdv3+poDxFRtbClL1Y1Lk+r9mEltsBWhs6Q5UnPlqCn1WrRsGHD6mgLEVG10X+xAv/7ItXjF6vy2cKwElugHzqj0xqfIdFpXTishMzG5J7bqKgozJ49G1988QVcXV2ro01ERNVC7WNS1cxWhpXYArUOnSHlMLm4ffbZZ7FhwwbUrVsXwcHBcHR0NHo8Pj7ebI0jIjI3frFaJ1saVmIL1Dh0hpTD5OJ21KhROHXqFEaMGMELyojIKqn9i1WN88ByvCYRydIIIUxaCsTd3R179uzBY489Vl1tqnEZGRnQarVIT0+Hp6enpZtDZFFqLIxsidrngVX767MV3M/Qg5Ct10zuuQ0MDGQBSKRSLBysmy3MA8thJdaP+xmqbib33H7//fdYsmQJli9fjuDg4GpqVs1izy1R+YWRvmRQQ2GkZoVFAo/NOVDudFn6MalHpj/BQpAsxlb2M+yZrh7V1nM7YsQI3L17F40aNYKbm1upC8pSU1NNby0RWRQnyLd+nAeWlM5W9jPsmbY8k4vbhQsXVkMziMiSbK0wUmOvCueBJaWzhf2MLQwNsgYmF7cjR46sjnYQkQXZUmGk1l4VzgNLSqf2/Yyt9ExbA6kVyrKzs016UlPzRGRZtlIY6XtVSvYeJf1/r8ruhCQLtazq9PPAlveVqUFxEc95YK1DYZHAsUu38d3pGzh26TYKi0y6PEaR1L6fMaVnmqqXVHHbuHFjREdH4+bNm+VmhBCIjY3Fk08+icWLF5utgURU/WyhMKqoVwUo/uKZvf2s1RYRXF5YPXYnJOGxOQcwbMVxTNp4GsNWHMdjcw5Y9cEXoP79jNp7pq2JVHF76NAh/PLLLwgJCUGHDh0wfvx4fPDBB5g3bx7eeecdDB48GAEBARg9ejQGDhyIadOmVXe7iciMbKEwqqxXBbD+XhX98sI6rXHPl07rwrF+VqK8swvJKji7oPb9jNp7pq2JSVOBXb9+Hd988w1++OEHXL58GTk5OfD19UXr1q3Ru3dv9O3bF3Z2UvWyonAqMKJiah2PCgBb4q/jja9/rTS3YMjD+Fub+jXQouqTV1CEtccu40rqXQR5u+GFjsFwcrC+fXN51HhBIGA707mpdT+jf/8qWyLa2t8/S6qWqcDq16+PN954A2+88UaVGwgAUVFRmD17ttE2Pz8/JCcnAyge6jB79mx89tlnSEtLQ4cOHfDxxx+jRYsWhnxubi6mTp2KDRs2ICcnB927d8cnn3yC+vWt+8uJyBLUPEF+anaeWXNKVVbh8PmRRKsvHPTUWhgBtjGbAKDe/QyXiFYOix/Kt2jRAklJSYbb77//bnhs7ty5mD9/PpYuXYqTJ09Cp9OhZ8+eyMzMNGQiIyOxZcsWbNy4EUeOHEFWVhb69++PwsJCS7wcIqtnb6dBx0Y+eKpVPXRs5KOaHbF3LWez5pRIzae0AfW/Plsas6nW/QyHBimDyVOBmb0BDg7Q6XSltgshsHDhQrz99tsYPHgwAGDNmjXw8/PD+vXrMWbMGKSnp2PlypVYu3YtevToAQBYt24dAgMDsW/fPvTu3btGXwuRGqj1lK/OU26cm2xOaSqbhgiw7mmIbGGaJY7ZVAe19kxbE4v33P73v/9FQEAAQkJCMHToUPzxxx8AgMTERCQnJ6NXr16GrLOzMyIiInD06FEAwKlTp5Cfn2+UCQgIQFhYmCFTltzcXGRkZBjdiEi9V2kD/7tSuyLWfKW22i+Ys4VpltQ+m4AtUWvPtLWwaHHboUMH/Pvf/8aePXuwYsUKJCcno1OnTrh9+7Zh3K2fn5/Rz9w/Jjc5ORlOTk7w8vIqN1OWmJgYaLVawy0wMNDMr4zI+qj9lK9+PJwGZV+prYF1j4dLzpA7VS2bUxpbOGWv9tkEiGqKRYvbJ598Ek8//TTCw8PRo0cPfP/99wCKhx/oaTTGf8RCiFLbSqosM2PGDKSnpxtu165dq8KrILJ+sqe0rXUOWD01j4dLzco1a05pbOWUvZo/o0Q15YHG3B4+fBiffvopLl26hG+//Rb16tXD2rVrERISgscee+yBG+Pu7o7w8HD897//xaBBgwAU9876+//vjzklJcXQm6vT6ZCXl4e0tDSj3tuUlBR06tSp3N/j7OwMZ2frvWiEyNxs5SptQL3j4bzdncyaU5r2Id6o7eaIO3fzy814uTmq4pS9Wj+jRDXF5J7bTZs2oXfv3nB1dcUvv/yC3NziXoDMzExER0dXqTG5ubk4d+4c/P39ERISAp1Oh9jYWMPjeXl5iIuLMxSubdu2haOjo1EmKSkJCQkJFRa3RGTMFk753k+N4+FspWezItZ9XsGYGj+jRDXF5OL2/fffx/Lly7FixQo4Ojoatnfq1Anx8fEmPdfUqVMRFxeHxMRE/PTTT3jmmWeQkZGBkSNHQqPRIDIyEtHR0diyZQsSEhIwatQouLm5Yfjw4QAArVaL0aNHY8qUKdi/fz9++eUXjBgxwjDMgYjksDBSAdnax0prpBOJqRX22gLAnbv5Vn1BGRGZh8nDEs6fP48uXbqU2u7p6Yk7d+6Y9FzXr1/HsGHDcOvWLdSpUwePPvoojh8/jqCgIADAtGnTkJOTg9dee82wiMPevXvh4eFheI4FCxbAwcEBQ4YMMSzisHr1atjb25v60ohslv4q7cpW1lHDKV+1uiU5llY2pzS2dnaBiB6cycWtv78/Ll68iODgYKPtR44cQcOGDU16ro0bN1b4uEajQVRUFKKiosrNuLi4YMmSJViyZIlJv5uI/ocr61g/tfe+q/31EZH5mDwsYcyYMZg0aRJ++uknaDQa3Lx5E19++SWmTp2K1157rTraSEQ1wJau0i4sEjh26Ta+O30Dxy7dtvpZIAD1z5Gqv6CsIrVVckEZEVWNyT2306ZNQ3p6Orp164Z79+6hS5cucHZ2xtSpUzFhwoTqaCMR1RBbuEp7d0ISZm8/azQ7hL/WBbMGhFp1AX9/73t5rL33Pa+gqMLH8yt5nIhsg0YI8UBdFnfv3sXZs2dRVFSE0NBQ1KpVy9xtqzEZGRnQarVIT0+Hp6enpZtDRNVEv1BFyZ2evtxTQw91zM6zWHE4Efd3RttpgFceD8GMvqGWa1gV/fjfW3h+5U+V5r4c3QGdm/jWQIuIqKbJ1msPvIiDm5sb2rVrB39/f+zevRvnz59/0KciIqp2trBQxe6EJHz2g3FhCwBCAJ/9kGjVq8wd++OWWXNEpF7Sxe0ff/yBzz//HNevXzdsO378OEJDQzF8+HCEhYVhw4YN1dJIIqKqMmWhCmuk/uJd5XOd2Rg1jnsn5ZAqbjdt2oSWLVti7ty52Lt3L4DiruGhQ4fihRdeQHZ2Nj7++GP885//rNbGEhE9KLVPJaX24l12ZTxrX0HPFuxOSMJjcw5g2IrjmLTxNIatOI7H5hyw6jMLpCxSF5TNnDkTn3/+Odq0aYMnnngCGRkZ2LRpE1xdXbFo0SI4OjqiT58+iIyMrObmEhE9GN9acktuy+aURu3F+6MNfaSW3320oTqK28IiocoLO8sb956cfg/j1sWrYtw7WZ5UcXv16lU8+uijCA4Oxpw5czBv3jx4e3tj27ZthlXKbt68CW9vTsFCRAole9bTSs+Oqn0eWHs7DT4cHI6xFcwGETM4XDUFoBpn9Khs6IwGxUNneobqVPE+kuVIDUto3LixYcGF559/HvHx8di3bx+aNGliyLi5ueGTTz6pnlYSEVWR2ns22wZ5obJ6wE5TnLNWfcL8sXxEG+g8jQt0f60Llqukx0/fs1lyiIm+Z9OaT92rfegMKYdUz+2sWbPw3HPPYdmyZfDxqfiUz8CBA83SMCIic0rNzjNrTmlOXUkrNUtCSUWiOGfN41LVPBez2ns21X6AScohVdz+7W9/w6+//or9+/fj9u3b1d0mIrIgtY7183SteHUrU3NKk5yeY9acktnbaay6QC+PKT2b1vj61T50hpRDeoWy5s2bo3nz5tXZFiKyMLWO9QOA367fkc492y6wehtTDdTeM30/tR6Aqb1nU79EdHL6vTJ7pzUoXu6bSyhTVZm8/K7eqVOncO7cOWg0GoSGhqJ169bmbBcR1TD1X8Ws7nlSvSVneZDNKZWaD8DU3rN5/xLRGhhfu6n/q7P2JaJJGUxeoSwlJQVPPPEEHnnkEbz++uuYMGEC2rZti+7du+Ovv/6qjjYSUTVT/wIAQANvN7PmlKbkRVZVzSmRmi+2Av7Xs1leaadBcSFvzT2bfcL8sWxEG+i0xp9DndZFBQfQpBRSxa23tzdu3Spe0nDixInIyMjAmTNnkJqairS0NCQkJCAjIwOvv/56tTaWiKqHLVzF/JDOw6w5pdEXRhWx5sLIFg7A9D2bQOnzB2rq2ewT5o8j05/AhlcexaKhrbDhlUdxZPoTLGzJbKSK2wULFsDDo3iHv3v3bixbtsxo/G1oaCg+/vhj7Nq1q3paSUTVSu1j/QAg9a7kmFTJnNLY22kw8OGKi4OBD/tbbWFkCwdggO30bOovCnyqVT10bORjtZ9LUiapMbdeXl6wsyuug4uKigwLN9zP0dERRUVF5m0dEdUItY/1A9T/GguLBL76+XqFma9/vo5pfZpbZSFhCwdgemqe7oyoJkj13A4aNAhpaWkAgCeeeAKTJk3CzZs3DY/fuHEDb7zxBrp37149rSSiamULCwCo/bT98T9uV7g0LQCk3c3H8T+sczpHtR+clMSeTaIHJ1XcFhUVoW7dugCApUuXIjMzE8HBwWjUqBEaN26MkJAQZGZmYsmSJdXaWCKqHqYsAGCt7O00CKvnWWEmrJ6n1RYRxy7JFa2yOaVR+8EJEZmPyVOBBQYGIj4+HrGxsfjPf/4DIQRCQ0PRo0eP6mgfEdWA5Ay5U7myOSXKKyjC/nMpFWb2n0tBXkERnBxMnkhGAWQvpLLOC670Y4o//SGx3Iw1jykmIvMxqbgtKCiAi4sLTp8+jZ49e6Jnz57V1S4iqkGpWblmzSnR2mOXpXqn1x67jNGPN6yZRplRh2AfLMUlqZw1KiwS2PZrxVN9bfs1yWrHFBOR+ZjUPeHg4ICgoCAUFhZWV3uIyAK83Z3MmlOixNvZZs0pjZ29XEEnm1OaymZLANQxWwIRVZ3J597eeecdzJgxA6mp3IEQqYVO62rWnCKp+6w9bkn2qsvmlMaWZksgoqoxeczt4sWLcfHiRQQEBCAoKAju7u5Gj8fHx5utcURUM/QX61TUM2btF+t4upSewrAqOaXxdZdbVlc2pzS2NlsCET04k4vbQYMGVUMziMiS9CsjjV1X/sGpta+MpJE8TyWbU5oiIdflLJtTGv0BWHL6vTI71zUoXujAmg/AiMg8TC5uZ82aVR3tICKqVp4ucrs72ZzS/CQ51vSnxFQ83rRONbfG/PQHYOPWxUMD49Ejalqaloiqzkr7KIjInAqLBGZvP1vu4xoAs7efRWFl0w0oWGULHJiaU5qCQrkVImVzSmQrS9MSUdWY3EXh5eUFjab0kbFGo4GLiwsaN26MUaNG4aWXXjJLA4mo+lV2JbrA/65E79jIOqeSSrojd6GRbE5pLqZkmjWnVH3C/PHEQ35Ye+wyrqTeRZC3G17oGGylcxMTUXUwubh999138cEHH+DJJ59E+/btIYTAyZMnsXv3bowfPx6JiYkYN24cCgoK8Morr1RHm4nIzGzhSnSVT5aAewVyPbKyOaXanZCE2dvPGh2MfX4kEbMGhLLnlogAPEBxe+TIEbz//vsYO3as0fZPP/0Ue/fuxaZNm9CyZUssXryYxS2RlbCFK9GFkCvqZHNKE+LrjiMXK19aN8TXvdKMUu1OSMK4dfGlDkCS0+9h3Lp4Dk0gIgAPMOZ2z549ZS612717d+zZswcA0LdvX/zxxx9Vbx0R1Qj9lejlXYqjgfVPBaaRnAZBNqc0U3s9ZNac0ujHhZfVs67fZu3jwonIPEzei3t7e2P79u2ltm/fvh3e3sVffNnZ2fDw8Kh664ioRuivRAdQqsBVy5Xoutpy87vK5pTm21PXzJpTGlPGhRORbTN5WMLMmTMxbtw4HDx4EO3bt4dGo8GJEyewc+dOLF++HAAQGxuLiIgIszeWiKqP/kr0qG1nkZzxvyJCp3VRxXjGrJwCs+aU5vLtu2bNKY0tjAsnIvMwubh95ZVXEBoaiqVLl2Lz5s0QQuChhx5CXFwcOnXqBACYMmWK2RtKRDXF+LSusNJJ/0tKyZRbdlY2pzSFRXJjhWVzSmML48Lvl1dQxBkhiB7QA81W3rlzZ3Tu3NncbSEiCyr3Yp2MXFVcrOPmZG/WnNKk380za05p2gZ5wU4DVDSk1k5TnLN2MTvPYsXhRKPX+sHOc3jl8RDM6BtquYYRWQmTDwPj4+Px+++/G+5/9913GDRoEN566y3k5VnnTpPI1lV0sQ5Q3Jdr7RfrNNd5mjWnNL9ezzBrTmlOXUmrsLAFigvfU1fSaqZB1SRm51l8+kNiqddaJIBPf0hEzM7yF1shomImF7djxozBhQsXAAB//PEHnnvuObi5ueGbb77BtGnTzN5AIqp+lV2sA1j/xTrpuXIrj8nmlMZecm8um1MaWxhzm1dQhBWHEyvMrDiciDwrn6uYqLqZvJu7cOECWrVqBQD45ptvEBERgfXr12P16tXYtGmTudtHRDUgOT3HrDklUvsKZY3rys1fK5tTGlsYc7v22GWp3um1xy7XSHuIrJXJxa0QAkX/f0HCvn370LdvXwBAYGAgbt26Zd7WEVGNSM2WG1Ikm1OiAK2rWXNK07tFgFlzStM+xBu13RwrzNR2c7TquZivpMrNZCGbI7JVJhe37dq1w/vvv4+1a9ciLi4O/fr1AwAkJibCz8/P7A0kournXUtublfZnBLVdq24MDI1pzR3JC8Uk81ZI+udhblYoJebWXNEtsrk4nbhwoWIj4/HhAkT8Pbbb6Nx48YAgG+//dYwFRgRWZe6HnJFq2xOidLuyRV1sjmlOXsz3aw5pTmRmIo7dyseD512N9+qx4U/5Ce3+JFsjshWmVzctmzZEr///jvS09Mxa9Ysw/aPPvoIa9aseeCGxMTEQKPRIDIy0rBNCIGoqCgEBATA1dUVXbt2xZkzZ4x+Ljc3FxMnToSvry/c3d0xcOBAXL9+/YHbQWSTZCdBsN7JEpAsOZZWNqc02XmFZs0pjS1cUGYLr5GoJpjtulkXFxc4Oj7Y6byTJ0/is88+Q8uWLY22z507F/Pnz8fSpUtx8uRJ6HQ69OzZE5mZmYZMZGQktmzZgo0bN+LIkSPIyspC//79UVhonTtwIkuwhS/VgNqSY24lc0rjU8vJrDmlsYULyk5fv2PWHJGtMrm49fLygre3d6mbj48P6tWrh4iICKxatUr6+bKysvD8889jxYoV8PL63+TbQggsXLgQb7/9NgYPHoywsDCsWbMGd+/exfr16wEA6enpWLlyJebNm4cePXqgdevWWLduHX7//Xfs27fP1JdGZLNuZcmtyiWbU6JOjXzNmlOa7FzJnlvJnNK0D/GGv9al3HG1GgD+WhervqBMdhppK55u2qCwSODYpdv47vQNHLt026rn0CblMbm4fffdd2FnZ4d+/fph9uzZiIqKQr9+/WBnZ4fx48ejadOmGDduHFasWCH1fOPHj0e/fv3Qo0cPo+2JiYlITk5Gr169DNucnZ0RERGBo0ePAgBOnTqF/Px8o0xAQADCwsIMmbLk5uYiIyPD6EZky+7kyM3tKptTokcb+VS6+pibkz0ebeRTQy0yryTJadpkc0pjb6fBrAHFq3OVLHD192cNCIW9nfVeVibbdCt+iQCKV0Ps/OEBDFtxHJM2nsawFcfR+cMD2J2QZOmmkUqYvPzukSNH8P7772Ps2LFG2z/99FPs3bsXmzZtQsuWLbF48WK88sorFT7Xxo0bER8fj5MnT5Z6LDk5GQBKzcDg5+eHK1euGDJOTk5GPb76jP7nyxITE4PZs2dX2Dai8hQWCZxITEVK5j3U9SjuKbLmL1RbUtm7pLHit9G/tgtwRTJnpfqE+WPZiDaYvf2s0aIjOq0LZg0IterloQGgdaAX1h6/KpWzVrsTkjB2XXyp7ckZ9zB2XTyWW/ky36QMJhe3e/bswZw5c0pt7969O6ZMmQIA6Nu3L958880Kn+fatWuYNGkS9u7dCxeX8ne2mhLfNkKIUttKqiwzY8YMTJ482XA/IyMDgYGBFT4nEVC8Yy75xeqvgi9WrbPceHnZnBId/+N2pRdTZecW4vgft9G5sfUNTWjhr8X2X8s/qL8/Z836hPmjZ6hOlQeY/pLjvWVzSlNYJPDm5t8rzMzY/Dt6hupU8X6S5Zg8LMHb2xvbt28vtX379u3w9i4e65SdnQ0Pj4qnKjl16hRSUlLQtm1bODg4wMHBAXFxcVi8eDEcHBwMPbYle2BTUlIMj+l0OuTl5SEtLa3cTFmcnZ3h6elpdCOqzO6EJIxbF19qmdrk9HsYty7eqk+pqX2aLAA4dum2WXNKU9k0WabmqOa1DfKqdMiBnaY4Z42O/3Fbajq3439Y598gKYfJPbczZ87EuHHjcPDgQbRv3x4ajQYnTpzAzp07sXz5cgBAbGwsIiIiKnye7t274/ffjY/gXnrpJTz00EOYPn06GjZsCJ1Oh9jYWLRu3RoAkJeXh7i4OEPPcdu2beHo6IjY2FgMGTIEAJCUlISEhATMnTvX1JdGVK7CIoHZ28+WOROWQPHp7tnbz1ptj4Pap8kCgMLCIrPmlOb3G3Lz18rmlGp3QhKitp1Bcsb/Lm7UeTojamALqz57AgCnrqRJLb976koaOlrh2HBTDjCt8ewJKYfJxe0rr7yC0NBQLF26FJs3b4YQAg899BDi4uIMizjohydUxMPDA2FhYUbb3N3d4ePjY9geGRmJ6OhoNGnSBE2aNEF0dDTc3NwwfPhwAIBWq8Xo0aMxZcoU+Pj4wNvbG1OnTkV4eHipC9SIquJEYmqpHtv7CQBJ6fdwIjHVKr90/DzlFmeQzSlRRq5cj6VsTmly8uTaLZtTovLHa+aqYrym+qfks4EJtUkRTC5uAaBz587o3LmzudtSyrRp05CTk4PXXnsNaWlp6NChA/bu3Ws05GHBggVwcHDAkCFDkJOTg+7du2P16tWwt6/4qmgiU6j9Syczt8CsOSXSSC7OKptTGmcHuX2ebE5pZMZrvmnl4zV9JZe3ls0pTceGvlh68JJUjqgqHqi4LSoqwsWLF5GSkoKiIuNTeF26dHngxhw6dMjovkajQVRUFKKiosr9GRcXFyxZsgRLlix54N9LVBm1TyAvO8ekNc9FKTsTgrXOmCAk2y2bU5rjlyofr3nnbj6OX7qNzk2stDhSecfmo418UNvNscL3sbabo9VOx0fKYXJxe/z4cQwfPhxXrlyBEMZ/YRqNhiuDkSrpJ5BPTr9X5veKBsXTEVnrBPL//TPLrDklCg2Qu3BUNqc0qVlyww1kc0rz48Vb0jlrLW5vZUsupiKZUxp7Ow0+HBxe5tASvQ8Hh1ttzzsph8mzJYwdOxbt2rVDQkICUlNTkZaWZrilpqZWRxuJLE7tE8i7OMrtCmRzSrT/3J9mzSlNLWe54QayOaX5VXLJWdmcEql9WAJQPJXb8hFtoCsxfl/n6Wz1Y6ZJOUzuuf3vf/+Lb7/9Fo0bN66O9hAplponkG9YpxZ+vFT5wWnDOrVqoDXVI+mO5Apekjml8XKXm4NYNqc09/LlzgrK5hRJ5cMS9NQ8VzEpg8nFbYcOHXDx4kUWt2ST1LpTfqtvqNTKSG/1Da2B1lSP7Dy5Kb5kc0pTx1NuvLdsTmnqe7ni1NU7UjlrpfZhCfezt9NY5cwyZB1MLm4nTpyIKVOmIDk5GeHh4XB0NO4FaNmypdkaR6REatwpOznYwcnBDnkF5Rd2zv+fsVbebo64LDHNprebdfZsOkheCSebU5rBrevju18rXyhlcOv6NdCa6qH2C1eJaorJxe3TTz8NAHj55ZcN2zQajWHJW15QRmR9TiSmVljYAkBuQZHVzuMLAE6S44Vlc0rj6iS3O5fNKY2dZFEum1Oi9iHelc4m4OXmaLUXrhLVFJP3comJidXRDiKrUVgkVDcsITldbpypbE6JCiQXL5DNKc2xS3KzCcjmlOboH3LtPvrHLTzerE41t8ZyrHy4LVGNMLm4DQoKqo52EFmF3QlJpS4o81fBBWV/ZsgtPiGbU6Lfk7LNmlOavzLlxmHK5pTm9+uSywtL5pToRGKq1Fy+1nwGhagmmFzc/vvf/67w8RdffPGBG0OkZLsTkjBuXXypnpPk9HsYty4ey6x4GpvD//1LOje2q3VeTJpXKNfnJZtTGg8Xe/yZKZezRq5Ocu2WzSmR2ldCvJ8az4CRcphc3E6aNMnofn5+Pu7evQsnJye4ubmxuCVVKiwSmL39bJmnBAWK57qdvf2s1S79mXFPblld2ZwSqX2WpTYNvHHxrxtSOWvk5yk3t6tsTols5YIytZ4BI+Uw+cqJ+xdtSEtLQ1ZWFs6fP4/HHnsMGzZsqI42ElncicRUox1xSQJAUvo9nEi0zoVMQgM8zJpTItkjeeu83ArIkjzwkM0pTXg9rVlzSqRfCbG8w2MNiotAa76gTH8GrOT+VH8GbHdC5TNiEFXGLJcFN2nSBB9++GGpXl0itVD76cL6Wnez5pTI0VGuR102pzQnLssdWMnmlCbhZoZZc0qk9pUQKzsDBhSfASssstbzJ6QUZpvzxt7eHjdv3jTX0xEpitpPF353+rpZc0oUoJWb3F82pzSZkj2ysjmlEZL1jmxOqfQrIeq0xvsSndbFqsf1A+o/A0bKYfIZuG3bthndF0IgKSkJS5cuRefOnc3WMCIlkZl/srYVzz95/Y5cj7NsTolaB9XGpVt3pXLWyM3RDrkS84y7Wek8vrLT11rxNLcGal0JUe1nwEg5TC5uBw0aZHRfo9GgTp06eOKJJzBv3jxztYvI6ljz105hodySs7I5Jbr6l9wUX7I5pQnycUXajSypnDVqVb821qLyJaJb1a9d/Y2pAWpcCVHtZ8BIOUwubouKrPfLjehBycw/mWbF80+6Otsj/17lvX6uztY7zdLZZIl5skzIKU1oPS+clihuQ+t51UBrzC/Ay82sOap5+gvmktPvlTnuVoPi4RfWegaMlMM6z08R1TC1n04L8ZUrCGRzSpSTJ3dgLptTmiAfuYv9ZHNK0z7EG26VzGHr5mTPwkjB1H7BHCmHyT23hYWFWL16Nfbv34+UlJRSPbkHDhwwW+OIlMLXXW7uTNmc8sh+mVjvl07l/dKm5ZRGSF5hLptTmsIigZy8it+dnLxCFBYJVRRHal3koE+YP17tEoIVhxONLv7TaIBXHg+x6gvmSDkeaBGH1atXo1+/fggLC4NGDaP3iSpRIDkcRzanNElplV9oZUqOat6pq2lmzSnNmqOXK11gQ/x/7pUuDWuiSdVGzYsc7E5Iwmc/JJZ6L4sE8NkPiWjdwMvqXyNZnsnF7caNG/H111+jb9++1dEeIkXaFF/5yk/6XESzutXcGvPLljwVL5ujmnc3V67PWTanND/9cUs6Z83FbXnLfCepYJnviua51bPmlR5JOUwec+vk5ITGja1zbXmiB/WfZLmJ4WVzSmMnuSeQzVHNKxJyBx6yOaW5KDmLhWxOiSor/gSse5EDznNLNcXkr6opU6Zg0aJFENY+UzaRCWo5yf2pyOaU5p5kj6xsjmreX5m5Zs0pjZvkynGyOSWqrPgDrLv4U/uFuaQcJg9LOHLkCA4ePIhdu3ahRYsWcHR0NHp88+bNZmsckVI002kRf63yXtlmOutc1z5f8lhVNqdELvaAxGxncLHS2c5S7+aZNac0Lk6OlYdMyClRcnqOWXNKw3luqaaYXNzWrl0bf/vb36qjLUSK5eXmZNYc1TytqwPuZVW+9KzW1eTdoiKofXnaZn61EH/1jlTOWqVmSx6gSOaUhvPcUk0xeS++atWq6mgHkaJxTKr1uyVR2JqSUxpNpXMJmJZTGjvJmXlkc0pUW/LgWDanNPp5bseti4cGMPokcp5bMid+FRNJ6NjQ16w5qnlqn+fWxVGur0I2pzQZ9+QOOmRzSqT2nlugeJ7bZSPaQKc1Hnqg07pY9UwQpCwm7+X+/PNPTJ061bCIQ8kLywoLrfWrgah8jzbygZuTPe5WMIm8u5M9HrXCpXdJHXLyKl4e2tSc0lR2oZWpOSVKvSt3sZ9sTqn6hPmjZ6hOlYtUkDKYXNyOGjUKV69excyZM+Hv789FHIj+n3We7CW1KJCcHko2pzT+nnKn4mVzSpR0R7KAl8wpmb2dBh3ZGUDV5IFmSzh8+DBatWpVDc0hUqbjl25X2GsLAHfzCnH80m10bsKhCVTz7hXIFa2yOaXhQiNEJMvkMbeBgYGc45ZszjHJ1ZFkc0TmJtsha6UdtzYxR2q92q5mzRHZKpOL24ULF+LNN9/E5cuXq6E5RMqk9mmWyPo5Su7NZXNKI7sql7Wu3gUAj4bInaaXzSlZYZHAsUu38d3pGzh26bZVv2+kPFLDEry8vIzG1mZnZ6NRo0Zwc3MrtYhDaqp1rpxCVBFPV7mJ4WVzRObm5WqPpKzKL+j1crXOVSqycuUuhJPNKZGdveR0Z5I5pdqdkITZ288aXfznr3XBrAGhnC2BzEKquF24cGE1N4NI2e5IruokmyMyt4xcuZ4v2ZzSpMssL2dCToluZcnNgiCbU6LdCUkYty6+1AW4yen3MG5dPKcDI7OQKm5HjhxZ3e0gUjRbmIaIrJvaZ0twd9Cg8gWwi3PWytfd2aw5pSksEpi9/WyZM8sIFC/kMHv7WfQM1XFaMKqSB5rNu7CwEFu3bsW5c+eg0WgQGhqKgQMHwt7eOk93EVUmQCt3AYdsjsjcajnbI/du5QsY1HK2zv10keSAdtmcIsnWc1Za951ITK2wA0CguIPgRGIqpwmjKjG5uL148SL69u2LGzduoFmzZhBC4MKFCwgMDMT333+PRo0aVUc7iSzKy11u7kzZHJG5OWnkpsCSzSnNrWzJ5ZMlc0qUfCfHrDmlsYUZL0gZTL5u9vXXX0ejRo1w7do1xMfH45dffsHVq1cREhKC119/vTraSGRx3m5yF4rJ5ojM7dZduaJVNqc0hZIdsrI5JTp9/Y5Zc0rj7SZ38C+bIyqPyT23cXFxOH78OLy9vQ3bfHx88OGHH6Jz585mbRyRUqRKXigmmyMyN9m1Gax0DQfYAZApy610prP/p+5xCf9JzpTOPd60TjW3htTM5P2As7MzMjNLf0CzsrLg5MSjLVKnOzly0wvJ5ojMzUFyby6bUxo3J7mCTjanRME+bmbNKc21tLtmzRGVx+TdXP/+/fHqq6/ip59+ghACQggcP34cY8eOxcCBA6ujjWRFODE3kWXYS/6pyeaUxs/Txaw5JXqhYzA0ldTmGk1xzhoFecsV5bI5ovKYXNwuXrwYjRo1QseOHeHi4gIXFxd07twZjRs3xqJFi0x6rmXLlqFly5bw9PSEp6cnOnbsiF27dhkeF0IgKioKAQEBcHV1RdeuXXHmzBmj58jNzcXEiRPh6+sLd3d3DBw4ENevXzf1ZZEZ7E5IwmNzDmDYiuOYtPE0hq04jsfmHMDuhCRLN63KPF0kF3GQzCmNuk+G2oZ7kkWrbE5pbKG4tbfTwNWx4tksXB3trXaaLLUX76Qc0sXtxYsXAQC1a9fGd999hwsXLuCbb77BN998g/Pnz2PLli3QarUm/fL69evjww8/xM8//4yff/4ZTzzxBJ566ilDATt37lzMnz8fS5cuxcmTJ6HT6dCzZ0+jYRGRkZHYsmULNm7ciCNHjiArKwv9+/dHYaH1TuRtjfQTc5ec5kU/Mbe1F7hqX8RBdmpQK55ClKxcq0DvykMm5JToRGIq7uZV/N11N68QJxKtcyVQtRfvpBzSxW3Tpk0RGBiIF198EatXr4aDgwMGDhyIgQMHonHjxg/0ywcMGIC+ffuiadOmaNq0KT744APUqlULx48fhxACCxcuxNtvv43BgwcjLCwMa9aswd27d7F+/XoAQHp6OlauXIl58+ahR48eaN26NdatW4fff/8d+/bte6A2kekqm5gbKJ6Y25qHKNyQnHpHNqc0+ZJvjWyOyNweCfIya06J1D5VltqLd1IO6eI2Li4OY8aMwc2bNzF+/Hg0atQIISEhGD16NNatW4cbN25UqSGFhYXYuHEjsrOz0bFjRyQmJiI5ORm9evUyZJydnREREYGjR48CAE6dOoX8/HyjTEBAAMLCwgyZsuTm5iIjI8PoRg/OlIm5rdVfmXLLXcrmiMg0e8/9adacEvnWklyhTDKnNGov3kk5pIvbxx9/HO+88w727duHO3fu4ODBg3jppZeQmJiIV199FQ0aNECzZs1MbsDvv/+OWrVqwdnZGWPHjsWWLVsQGhqK5ORkAICfn59R3s/Pz/BYcnIynJyc4OXlVW6mLDExMdBqtYZbYGCgye2m/7GFHdatDMk13yVzRGSa43/cNmtOkWTPjFjpGZS6HnLjoWVzROV5oOV3HR0d0aVLFzzyyCPo2LEj9uzZgxUrVhjG5ZqiWbNmOH36NO7cuYNNmzZh5MiRiIuLMzyuKTH6XAhRaltJlWVmzJiByZMnG+5nZGSwwK0CW9hhZefJrXokmyMi0+QVyi0+IZtTolvZkgfRkjmlaR/iDX+tC5LT75VZn2sA6LQuaB9iveOmSRlMmi3h3r17OHDgAGbOnInHH38cXl5eeP3115GVlYVly5bh6tWrJjfAyckJjRs3Rrt27RATE4OHH34YixYtgk6nA4BSPbApKSmG3lydToe8vDykpaWVmymLs7OzYYYG/Y0enH6HVd7hhAaAv5XvsHIL5C5QlM0RkWk8nCu+EMnUnBKpvaPA3k6DWQNCAZSeeUV/f9aAUF5QRlUmXdxGRETA29sbkyZNQmpqKiZOnIgrV67g3LlzWL58OYYPH4569epVuUFCCOTm5iIkJAQ6nQ6xsbGGx/Ly8hAXF4dOnToBANq2bQtHR0ejTFJSEhISEgwZqn62sMO6ly9XtMrmiMzNXvLPSzanNPmSPbKyOSVqG+SFynaTdprinLXqE+aPZSPaQKc1LtB1WhcsG9EGfcL8LdQyUhPpYQlHjx6Fv78/unXrhq5du6JLly7w9fWt0i9/66238OSTTyIwMBCZmZnYuHEjDh06hN27d0Oj0SAyMhLR0dFo0qQJmjRpgujoaLi5uWH48OEAAK1Wi9GjR2PKlCnw8fGBt7c3pk6divDwcPTo0aNKbSPT6HdYs7efNbq4TKd1wawBoVa/w1L5UDhSA5V/SCu7yt7UnBKdupKGyiaVKRLFuY6NfGqmUdWgT5g/eobqcCIxFSmZ91DXo/jMnjV3gJCySBe3d+7cweHDh3Ho0CHMmTMHw4YNQ9OmTREREYGuXbsiIiICdeqYthb0n3/+iRdeeAFJSUnQarVo2bIldu/ejZ49ewIApk2bhpycHLz22mtIS0tDhw4dsHfvXnh4eBieY8GCBXBwcMCQIUOQk5OD7t27Y/Xq1bC3t95TU9ZKzTssFwd73M2vfDytiwM/d2QZsiWdtZZ+dhq5E42yOSVKzpC76FY2p2T2dhqrLtBJ2aSLW3d3d/Tp0wd9+vQBAGRmZuLIkSM4ePAg5s6di+effx5NmjRBQkKC9C9fuXJlhY9rNBpERUUhKiqq3IyLiwuWLFmCJUuWSP9eqj5q3WHlSI6llc0RkWncJMfSyuaUKCVDbp5s2RyRrXrgQ1x3d3d4e3vD29sbXl5ecHBwwLlz58zZNiLFyCuQO5crmyMi0/i6O5k1p0TnbmZWHjIhR2SrpHtui4qK8PPPP+PQoUM4ePAgfvzxR2RnZ6NevXro1q0bPv74Y3Tr1q0620pkMYWSNatsjohMI4rkzorI5pQoS3IqQdkcka2SLm5r166N7Oxs+Pv7o2vXrpg/fz66deuGRo0aVWf7iIhIggZy14pZ6wj4q3fyzJpTIiHkjo5lc0S2Srq4/eijj9CtWzc0bdq0OttDREQPQOWTJSA7N9+sOSWSPfCw1gMUopoiXdyOGTOmOttBRERULluY59bDxdGsOSJbZb1zphAREanI4Db1zZojslUsbomISPEc7OW+rmRzStQuWG6Jctkcka2y3r0AERHZDB83uVF0sjklWnf8illzRLaKxS0RESmeLYy5PXn5tllzRLaKxS0RESleVq5c0SqbUyI3R7leZ9kcka3iXwiZVV5BEdYeu4wrqXcR5O2GFzoGw8mBx1BEVDW5BXJFq2xOiZoHeGLrrzelckRUPha3ZDYxO89ixeFEFN03keYHO8/hlcdDMKNvqOUaRkRWT3bdAmte38AWlhgmqgksbsksYnaexac/JJbaXiRg2M4Cl4gelEYjV7XK5pToTo7cAhSyOSJbxfPFVGV5BUVYcbh0YXu/FYcTkWfFpwuJyLJcJIc3yeaUqLabXI+sbI7IVlnvXoAUY+2xy0ZDEcpSJIpzREQPIr/QvDklup2Va9Ycka1icUtVdiX1rllzREQl5RXJnfmRzSlRws10s+aIbBWLW6qyIG83s+aIiEqSrVmtuLbFjbR7Zs0R2SoWt1RlL3QMhp2m4oydpjhHRPQgZFfVteLVd+EseYm3bI7IVlnxboCUwsnBDmH1Kp53MayeJ+e7JaIH5lDZEbSJOSXyreVi1hyRrWK1QVWWV1CE329kVJj5/UYGZ0sgogdmZyf3dSWbU6KA2q5mzRHZKuvdC5BirDl6udKJ04UozhERPYiCQrlpEGRzSpRxT27+Wtkcka1icUtVdvJyqllzREQlyQ42sN5BCcCfGXIXisnmiGwVi1uqMjcne7PmiIhKkh1Ka8VDbnEvX27olmyOyFaxuKUqGxDmb9YcEVFJsmfirfmMvZero1lzRLaKxS1VWez5ZLPmiIhKkh1Ja70jboHbdyVXKJPMEdkqzpZHVfZTYppZc0REJVVyzarJOSW6nZVn1pySFRYJnEhMRUrmPdT1cEH7EG/YW/OYElIUFrdUZQ6S+yPZHBGRLXKXvC5BNqdUuxOSMHv7WSSl/+/COH+tC2YNCEUfDl8jM+CwBKqyQC+5ZXVlc0REtkgj2QEgm1Oi3QlJGLcu3qiwBYDk9HsYty4euxOSLNQyUhMWt1RlQvJTJJsjIrJFDpKrOMrmlKawSGD29rNlDh3Rb5u9/SwKi6x5cAkpgXX+hZCi/JUhN/5LNkdEZItupMrNXyubU5oTiamlemzvJwAkpd/DiUTOiU5Vw+KWqsxBI3eULZsjIrJN6r5sLiVTriiXzRGVh8UtVVmu5Ckk2RwRkS1ysJccliCZU5q6Hi5mzRGVxzr/QkhRCgrkVsuRzRER2aLwelqz5pSmfYg3/LUu5S6RrEHxrAntQ7xrslmkQixuqcqyc+WmTZfNERHZovqSM8rI5pTG3k6DWQNCyx1UIQDMGhDK+W6pyljcUpXdyy8wa46IyBZlSq4dLJsjslUsbqnK7CXHf8nmiIhsUUqm3LK6sjmlKSwSmPz1rxVmpnz9K6cCoypjtUFVdjdPbriBbI6IyBa5O8stGiqbU5qjF29V+j2QnVeIoxdv1VCLSK1Y3FLVCcmjbNkcEZEN+tvD9cyaU5pN8dfNmiMqD4tbqrLCQrmiVTZHRGSTZK+jstLrre7myV13IZsjKg+LW6oy2Qm+OBEYEVH5NsVfM2tOadoFyU3xJZsjKo9Fi9uYmBg88sgj8PDwQN26dTFo0CCcP3/eKCOEQFRUFAICAuDq6oquXbvizJkzRpnc3FxMnDgRvr6+cHd3x8CBA3H9Ok9r1BTZDll23BIRle/MzQyz5pSmuc7TrDmi8li0uI2Li8P48eNx/PhxxMbGoqCgAL169UJ2drYhM3fuXMyfPx9Lly7FyZMnodPp0LNnT2RmZhoykZGR2LJlCzZu3IgjR44gKysL/fv3R2EhL2CqCSxuiYiqLildbtlZ2ZzSpObkmTVHVB6LXnK5e/duo/urVq1C3bp1cerUKXTp0gVCCCxcuBBvv/02Bg8eDABYs2YN/Pz8sH79eowZMwbp6elYuXIl1q5dix49egAA1q1bh8DAQOzbtw+9e/eu8ddFRERkqvxCucFbsjml4fK7VFMUNeY2PT0dAODtXTzeJjExEcnJyejVq5ch4+zsjIiICBw9ehQAcOrUKeTn5xtlAgICEBYWZsiUlJubi4yMDKMbERGRJckuzGWtC3hx+V2qKYopboUQmDx5Mh577DGEhYUBAJKTkwEAfn5+Rlk/Pz/DY8nJyXBycoKXl1e5mZJiYmKg1WoNt8DAQHO/HCIiIpMEaJ3NmlMa/fK7FeHyu2QOiiluJ0yYgN9++w0bNmwo9ZhGY/xBF0KU2lZSRZkZM2YgPT3dcLt2zTqvPCUiIvVwc3Eya06J+oT5o0do3TIf6xFaF33C/Gu4RaRGiihuJ06ciG3btuHgwYOoX7++YbtOpwOAUj2wKSkpht5cnU6HvLw8pKWllZspydnZGZ6enkY3IiIiS/LzkOuRlc0pUczOs4g9m1LmY7FnUxCz82wNt4jUyKLFrRACEyZMwObNm3HgwAGEhIQYPR4SEgKdTofY2FjDtry8PMTFxaFTp04AgLZt28LR0dEok5SUhISEBEOGiIhI6WQnlLHWiWfyCoqw4nBihZkVhxORV2CdF8yRclh0toTx48dj/fr1+O677+Dh4WHoodVqtXB1dYVGo0FkZCSio6PRpEkTNGnSBNHR0XBzc8Pw4cMN2dGjR2PKlCnw8fGBt7c3pk6divDwcMPsCUREREp3526+WXNKs/bYZRRVUpkXieLc6Mcb1kyjSJUsWtwuW7YMANC1a1ej7atWrcKoUaMAANOmTUNOTg5ee+01pKWloUOHDti7dy88PDwM+QULFsDBwQFDhgxBTk4OunfvjtWrV8Pe3r6mXgoREVGVZN2TK1plc0pzJfWuWXNE5bFocStE5SdXNBoNoqKiEBUVVW7GxcUFS5YswZIlS8zYOiIioprj6CDXISObU5pALzez5ojKo4gLyoiIiGydi2TRKptTmof8PCoPmZAjKg+LWyIiIgVwdpT7SpbNKQ2X36WaYp1/IURERCqjkZwHQTanNFx+l2oKi1siIiIFcHOSuwxGNqc0bYO8UMn6S9BoinNEVcHiloiISAF8JRdnkM0pzcnLqajsOnIhinNEVcHiloiISAGy7xWYNac0xy7dNmuOqDwsbomIiBTg/J9ZZs0pTZGQW3lMNkdUHha3RERECuDhIjeWVjanNF5ucsMpZHNE5WFxS0REpACPN/Uxa05pvNwczZojKg+LWyIiIgU49J+/zJpTmtPX7pg1R1QeFrdEREQKcDEl26w5pUlOzzFrjqg81jlwh4iISGXu5hWaNac0OflyF4rJ5pSssEjgRGIqUjLvoa6HC9qHeMPerpJJfslsWNwSEREpgL0GKJJYfMzeSmukh+vXxo8S03w9XL929TemGu1OSMLs7WeRlH7PsM1f64JZA0LRJ8zfgi2zHRyWUMMKiwSOXbqN707fwLFLt1EosycjIiLV860ldyGVbE5pOoR4mzWnRLsTkjBuXbxRYQsAyen3MG5dPHYnJFmoZbaFPbc1iEdzRERUnnrerkjKzJfKWaNzyRnSuYiH6lZza8yvsEhg9vazKKvLSgDQAJi9/Sx6huo4RKGasee2hvBojoiIKvLHX3IXUsnmlCb27J9mzSnNicTUUt/x9xMAktLv4UQilxeubixua0BlR3NA8dEchygQEdmuu3lyy+rK5pQmU3LZYNmc0qRkll/YPkiOHhyL2xrAozkiIqqMo0aug0M2pzQP+XuYNac0dT1czJqjB8fitgbwaI6IiCpj7yB3GYxsTmmebRto1pzStA/xhr/WBeWNptWg+Dqb9lZ8wZy1YHFbA3g0R0RElXGQvMhINqc0nRr7ws3JvsKMu5M9OjX2raEWmZe9nQazBoQCQKkCV39/1oBQXkxWA1jc1gAezRERUWVcHeSKHtmc0tjbaTB/yMMVZuYNediqi78+Yf5YNqINdFrjziqd1gXLRrThzEg1xDrPbVgZ/dHcuHXx0ABGF5bxaI6IiACgqEhu5THZHFlGnzB/9AzVcYUyC2LPbQ3RH835eTobbffzdObRHBER4c8suaJVNqc0hUUCU77+tcLMlG9+VcXMQfZ2GnRs5IOnWtVDx0Y+LGxrGIvbGlfeSBwiIrJlhZI1nWxOaY5evIXsvIoL8+zcQhy9eKuGWkRqxeK2hugXcUjOMJ4R4c8MLuJARETqtyn+ullzROVhcVsDKlvEQYCLOBAR2TrniicSMDmnNNdS75o1R1QeFrc1oLJFHAAu4kBEZOvyJYfSyuaU5p5kw2VzROVhcVsDSg5FqGqOiIjUR7aks9bST1figuqq5ojKw+K2BtySXHlMNkdERGRt/Gu7mTVHVB4WtzXgzt18s+aIiEh9ZL+QrfWLu00DL7PmlKywSODYpdv47vQNHLt0m9fU1DAu4lATZGf74qxgREQ2y9PFDnfuFUnlrJGfVm6JedmcUu1OSMLs7WeNrrXx17pg1oBQzmlfQ6zzL8TK1HZ1MmuOiIjUx9FBbhoE2ZziyHZeWnEnp37az5IXkSenc9rPmsTitgbUdpXrIJfNERGR+uTkyg1Nk80pTUpWrllzSlPZtJ8Ap/2sKSxua8Cv19PNmiMiIvXJkqxZZXNK8+edHLPmlKayaT8FOO1nTWFxWwMqm+PW1BwREZG1iTv/p1lzSpMiOeORbI4eHIvbGpCcLncUKpsjIiKyNn+kyn3HyeaUpq6H3IVwsjl6cCxua8DtLLmjNNkcERGRtXGQnBFINqc07UO84a91KXfiIw2KZ01oH+Jdk82ySSxuawDnuSUiIlsX6CW3OINsTmns7TSYNSAUQOmZPfX3Zw0Ihb2dlVbvVoTFbQ0okFwrUTZHRERkddS+SgWAPmH+WDaiDXQl5urVaV2wbEQbznNbQzj3VA2wgan9iIiIKpSXL/ctJ5tTqj5h/ugZqsOJxFSkZN5DXY/ioQjssa05LG5rgGyHLDtuiYhIrVwd5bpkZXNKZm+nQcdGPpZuhs2y6Cfohx9+wIABAxAQEACNRoOtW7caPS6EQFRUFAICAuDq6oquXbvizJkzRpnc3FxMnDgRvr6+cHd3x8CBA3H9+vUafBVERERUmfDA2mbNEZXHosVtdnY2Hn74YSxdurTMx+fOnYv58+dj6dKlOHnyJHQ6HXr27InMzExDJjIyElu2bMHGjRtx5MgRZGVloX///igsZD8oERGRUnhLLjEvmyMqj0WHJTz55JN48skny3xMCIGFCxfi7bffxuDBgwEAa9asgZ+fH9avX48xY8YgPT0dK1euxNq1a9GjRw8AwLp16xAYGIh9+/ahd+/eNfZaiIiIqHxp9/LMmiMqj2IHtiQmJiI5ORm9evUybHN2dkZERASOHj0KADh16hTy8/ONMgEBAQgLCzNkypKbm4uMjAyjGxEREVWfm2lyizPI5ojKo9jiNjk5GQDg5+dntN3Pz8/wWHJyMpycnODl5VVupiwxMTHQarWGW2BgoJlbT0RERPf7S3LZWdkcUXkUW9zqaTTGU2cIIUptK6myzIwZM5Cenm64Xbt2zSxtJSIiorLl5BeZNUdUHsUWtzqdDgBK9cCmpKQYenN1Oh3y8vKQlpZWbqYszs7O8PT0NLoRERFR9ckrkCtaZXNE5VFscRsSEgKdTofY2FjDtry8PMTFxaFTp04AgLZt28LR0dEok5SUhISEBEOGiIiILC+vULK4lcwRlceisyVkZWXh4sWLhvuJiYk4ffo0vL290aBBA0RGRiI6OhpNmjRBkyZNEB0dDTc3NwwfPhwAoNVqMXr0aEyZMgU+Pj7w9vbG1KlTER4ebpg9gYiIiCxPFMmtPCabIyqPRYvbn3/+Gd26dTPcnzx5MgBg5MiRWL16NaZNm4acnBy89tprSEtLQ4cOHbB37154eHgYfmbBggVwcHDAkCFDkJOTg+7du2P16tWwt7ev8ddDREREZXOWXHlMNkdUHosWt127doUQ5R+haTQaREVFISoqqtyMi4sLlixZgiVLllRDC4mIiMgcdFo3nEnKksoRVQUPj4iIiKja1fGQW3lMNkdUHha3REREVO2y8wrMmiMqD4tbIiIiqna5+XIXisnmiMrD4paIiIiq3SPB3mbNEZWHxS0RERFVu5GdglHJAqPQaIpzRFXB4paIiIiqnZODHV59PKTCzKuPh8DJgaUJVY1FpwIjIiIi2zGjbygAYMXhRNy/VoOdBnjl8RDD40RVweKWiIhIATyd7ZCRW/nSs57O1t2zOaNvKKb0eghrj13GldS7CPJ2wwsdg9ljS2bD4paIiEgBPhr8MMZs+EUqZ+2cHOww+vGGlm4GqRQPk4iIiBSgR7i/WXNEtorFLRERkQLY22mwfESbCjPLR7SBvV0lUw4Q2TgWt0RERArRJ8wfy0e0ga+bvdF2XzcHLB/RBn3C2GtLVBmOuSUiIlKQPmH+6Bmqw4nEVKRk3kNdDxe0D/Fmjy2RJBa3RESkeJ8PaYO/fx0vlVMDezsNOjbysXQziKwShyUQEZHi9WgjebGVZI6I1IvFLRERWYXLH/ar0uNEZBtY3BIRkdW4/GG/UkMPPh/ShoUtERlwzC0REVmVHm38cbkNi1kiKht7bomIVEC255I9nESkdixuiYhUgmNSiYhY3BIRqUp5BSwLWyKyFRxzS0SkMixkiciWseeWiGwCx6QSEdkGFrdEZDM4JpWISP1Y3BKRTeGYVCIideOYWyKyOSxkiYjUiz23RMTxqEREpBosbokIAMejEhGROrC4JSIDjkclIiJrxzG3RGSEhSwREVkz9twSSejZ0Lw5IiIiqh4sbokkrHhVrjdTNkdERETVg8UtkSRecEVERKR8LG6JTHD5w36lhh70bMjCloiISCl4QRmRiTj0gIiISLnYc0tVxgUAiIiISClY3JJZcDwqERERKQGLWzIbLgBARERElsYxt2RWLGSJiIjIkthzWwM4JpWIiIioZqimuP3kk08QEhICFxcXtG3bFocPH7Z0k4xwTCoRERFR9VNFcfvVV18hMjISb7/9Nn755Rc8/vjjePLJJ3H16lVLN80Ix6QSERERVS+NEEJYuhFV1aFDB7Rp0wbLli0zbGvevDkGDRqEmJiYSn8+IyMDWq0W6enp8PT0rM6mEhEREdEDkK3XrL7nNi8vD6dOnUKvXr2Mtvfq1QtHjx4t82dyc3ORkZFhdCMiIiIi62f1xe2tW7dQWFgIPz8/o+1+fn5ITk4u82diYmKg1WoNt8DAwJpoKhERERFVM6svbvU0Go3RfSFEqW16M2bMQHp6uuF27dq1mmgiEREREVUzq5/n1tfXF/b29qV6aVNSUkr15uo5OzvD2dm5JppHRERERDXI6ntunZyc0LZtW8TGxhptj42NRadOnSzUKiIiIiKyBKvvuQWAyZMn44UXXkC7du3QsWNHfPbZZ7h69SrGjh1r6aYRERERUQ1SRXH73HPP4fbt23jvvfeQlJSEsLAw7Ny5E0FBQZZuGhERERHVIFXMc1tVnOeWiIiISNlsZp5bIiIiIiI9FrdEREREpBosbomIiIhINVjcEhEREZFqsLglIiIiItVQxVRgVaWfMCIjI8PCLSEiIiKisujrtMom+mJxCyAzMxMAEBgYaOGWEBEREVFFMjMzodVqy32c89wCKCoqws2bN+Hh4QGNRmPp5li9jIwMBAYG4tq1a5w32ErxPbR+fA+tH99D68b3z/yEEMjMzERAQADs7MofWcueWwB2dnaoX7++pZuhOp6envyDtnJ8D60f30Prx/fQuvH9M6+Kemz1eEEZEREREakGi1siIiIiUg0Wt2R2zs7OmDVrFpydnS3dFHpAfA+tH99D68f30Lrx/bMcXlBGRERERKrBnlsiIiIiUg0Wt0RERESkGixuiYiIiEg1WNwSERERkWqwuCWziYmJwSOPPAIPDw/UrVsXgwYNwvnz5y3dLHpAMTEx0Gg0iIyMtHRTyAQ3btzAiBEj4OPjAzc3N7Rq1QqnTp2ydLNIUkFBAd555x2EhITA1dUVDRs2xHvvvYeioiJLN43K8cMPP2DAgAEICAiARqPB1q1bjR4XQiAqKgoBAQFwdXVF165dcebMGcs01kawuCWziYuLw/jx43H8+HHExsaioKAAvXr1QnZ2tqWbRiY6efIkPvvsM7Rs2dLSTSETpKWloXPnznB0dMSuXbtw9uxZzJs3D7Vr17Z000jSnDlzsHz5cixduhTnzp3D3Llz8dFHH2HJkiWWbhqVIzs7Gw8//DCWLl1a5uNz587F/PnzsXTpUpw8eRI6nQ49e/ZEZmZmDbfUdnAqMKo2f/31F+rWrYu4uDh06dLF0s0hSVlZWWjTpg0++eQTvP/++2jVqhUWLlxo6WaRhDfffBM//vgjDh8+bOmm0APq378//Pz8sHLlSsO2p59+Gm5ubli7dq0FW0YyNBoNtmzZgkGDBgEo7rUNCAhAZGQkpk+fDgDIzc2Fn58f5syZgzFjxliwterFnluqNunp6QAAb29vC7eETDF+/Hj069cPPXr0sHRTyETbtm1Du3bt8Oyzz6Ju3bpo3bo1VqxYYelmkQkee+wx7N+/HxcuXAAA/Prrrzhy5Aj69u1r4ZbRg0hMTERycjJ69epl2Obs7IyIiAgcPXrUgi1TNwdLN4DUSQiByZMn47HHHkNYWJilm0OSNm7ciPj4eJw8edLSTaEH8Mcff2DZsmWYPHky3nrrLZw4cQKvv/46nJ2d8eKLL1q6eSRh+vTpSE9Px0MPPQR7e3sUFhbigw8+wLBhwyzdNHoAycnJAAA/Pz+j7X5+frhy5YolmmQTWNxStZgwYQJ+++03HDlyxNJNIUnXrl3DpEmTsHfvXri4uFi6OfQAioqK0K5dO0RHRwMAWrdujTNnzmDZsmUsbq3EV199hXXr1mH9+vVo0aIFTp8+jcjISAQEBGDkyJGWbh49II1GY3RfCFFqG5kPi1syu4kTJ2Lbtm344YcfUL9+fUs3hySdOnUKKSkpaNu2rWFbYWEhfvjhByxduhS5ubmwt7e3YAupMv7+/ggNDTXa1rx5c2zatMlCLSJT/eMf/8Cbb76JoUOHAgDCw8Nx5coVxMTEsLi1QjqdDkBxD66/v79he0pKSqneXDIfjrklsxFCYMKECdi8eTMOHDiAkJAQSzeJTNC9e3f8/vvvOH36tOHWrl07PP/88zh9+jQLWyvQuXPnUtPvXbhwAUFBQRZqEZnq7t27sLMz/mq2t7fnVGBWKiQkBDqdDrGxsYZteXl5iIuLQ6dOnSzYMnVjzy2Zzfjx47F+/Xp899138PDwMIw10mq1cHV1tXDrqDIeHh6lxke7u7vDx8eH46atxBtvvIFOnTohOjoaQ4YMwYkTJ/DZZ5/hs88+s3TTSNKAAQPwwQcfoEGDBmjRogV++eUXzJ8/Hy+//LKlm0blyMrKwsWLFw33ExMTcfr0aXh7e6NBgwaIjIxEdHQ0mjRpgiZNmiA6Ohpubm4YPny4BVutbpwKjMymvPFDq1atwqhRo2q2MWQWXbt25VRgVmbHjh2YMWMG/vvf/yIkJASTJ0/GK6+8YulmkaTMzEzMnDkTW7ZsQUpKCgICAjBs2DC8++67cHJysnTzqAyHDh1Ct27dSm0fOXIkVq9eDSEEZs+ejU8//RRpaWno0KEDPv74Y3YaVCMWt0RERESkGhxzS0RERESqweKWiIiIiFSDxS0RERERqQaLWyIiIiJSDRa3RERERKQaLG6JiIiISDVY3BIRERGRarC4JSIiIiLVYHFLRKQwUVFRaNWqVYWZrl27IjIyssq/S6PRYOvWrVV+HiIipWBxS0RUwtGjR2Fvb48+ffpYuikPTKPRVHjTS0pKwpNPPmnBlhIRmZeDpRtARKQ0X3zxBSZOnIjPP/8cV69eRYMGDSzdJJMlJSWV2nb58mX07NkTI0eONGzT6XQ12awqycvLg5OTk6WbQUQKx55bIqL7ZGdn4+uvv8a4cePQv39/rF692ujxQ4cOQaPRYP/+/WjXrh3c3NzQqVMnnD9/3pAJDg6usLd0+vTpaNq0Kdzc3NCwYUPMnDkT+fn5pdqydu1aBAcHQ6vVYujQocjMzJR+HTqdzujm6emJsWPHol27dli4cKEhd/+whMuXL0Oj0eDrr7/G448/DldXVzzyyCO4cOECTp48iXbt2qFWrVro06cP/vrrL8NzjBo1CoMGDUJ0dDT8/PxQu3ZtzJ49GwUFBfjHP/4Bb29v1K9fH1988YVRG2/cuIHnnnsOXl5e8PHxwVNPPYXLly+Xet6YmBgEBASgadOm0q+fiGwXi1siovt89dVXaNasGZo1a4YRI0Zg1apVEEKUyr399tuYN28efv75Zzg4OODll182PHby5EkkJSUhKSkJ169fx6OPPorHH3/c8LiHhwdWr16Ns2fPYtGiRVixYgUWLFhg9PyXLl3C1q1bsWPHDuzYsQNxcXH48MMPH/h1vfTSS7hz5w6++eYbODhUfNJu1qxZeOeddxAfHw8HBwcMGzYM06ZNw6JFi3D48GFcunQJ7777rtHPHDhwADdv3sQPP/yA+fPnIyoqCv3794eXlxd++uknjB07FmPHjsW1a9cAAHfv3kW3bt1Qq1Yt/PDDDzhy5IihcM7LyzM87/79+3Hu3DnExsZix44dD/z6iciGCCIiMujUqZNYuHChEEKI/Px84evrK2JjYw2PHzx4UAAQ+/btM2z7/vvvBQCRk5NT6vlef/11ERQUJFJSUsr9nXPnzhVt27Y13J81a5Zwc3MTGRkZhm3/+Mc/RIcOHQz3IyIixKRJk6ReU3R0tHBzcxOnT58u9RgAsWXLFiGEEImJiQKA+Pzzzw2Pb9iwQQAQ+/fvN2yLiYkRzZo1M9wfOXKkCAoKEoWFhYZtzZo1E48//rjhfkFBgXB3dxcbNmwQQgixcuVK0axZM1FUVGTI5ObmCldXV7Fnzx7D8/r5+Ync3Fyp10lEJIQQHHNLRPT/zp8/jxMnTmDz5s0AAAcHBzz33HP44osv0KNHD6Nsy5YtDf/29/cHAKSkpBiNz/3ss8+wcuVK/Pjjj6hTp45h+7fffouFCxfi4sWLyMrKQkFBATw9PY2ePzg4GB4eHka/IyUlxeTXtHPnTsycORMbNmzAww8/LPUz9782Pz8/AEB4eLjRtpJtadGiBezs7IwyYWFhhvv29vbw8fEx/NypU6dw8eJFo9cIAPfu3cOlS5cM98PDwznOlohMwuKWiOj/rVy5EgUFBahXr55hmxACjo6OSEtLg5eXl2G7o6Oj4d/68bRFRUWGbYcOHcLEiRNLFZXHjx/H0KFDMXv2bPTu3RtarRYbN27EvHnzjNpy//Prf8f9zy/jwoULGD58ON588008++yz0j9X1msrua1kW8pqb0WvoaioCG3btsWXX35Z6vfffyDg7u4u3W4iIoDFLRERAKCgoAD//ve/MW/ePPTq1cvosaeffhpffvklJkyYIPVcFy9exNNPP4233noLgwcPNnrsxx9/RFBQEN5++23DtitXrlT9BZSQkZGBp556Cl26dME///lPsz9/VbVp0wZfffUV6tatW6rXmoioKnhBGRERgB07diAtLQ2jR49GWFiY0e2ZZ57BypUrpZ4nJycHAwYMQKtWrfDqq68iOTnZcAOAxo0b4+rVq9i4cSMuXbqExYsXY8uWLWZ9LUIIPP/888jOzsa//vUv/Pnnn0btSE5ORmFhoVl/p6mef/55+Pr64qmnnsLhw4eRmJiIuLg4TJo0CdevX7do24jIurG4JSJC8ZCEHj16QKvVlnrs6aefxunTpxEfH1/p8/z555/4z3/+gwMHDiAgIAD+/v6GGwA89dRTeOONNzBhwgS0atUKR48excyZM836Wq5evYodO3bg2rVraNasmVEb9Df9rAWW4ubmhh9++AENGjTA4MGD0bx5c7z88svIyclhTy4RVYlGiDLmuCEiIiIiskLsuSUiIiIi1WBxS0RERESqweKWiIiIiFSDxS0RERERqQaLWyIiIiJSDRa3RERERKQaLG6JiIiISDVY3BIRERGRarC4JSIiIiLVYHFLRERERKrB4paIiIiIVOP/AL5TswcnKy2iAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Lage- und Streuungsmaße:\n",
      "Mittlere Anzahl Zimmer: 2.30\n",
      "Standardabweichung Anzahl Zimmer: 1.14\n",
      "Mittlere Wohnungsgröße: 49.42 m²\n",
      "Standardabweichung Wohnungsgröße: 32.91 m²\n",
      "Korrelation zwischen Anzahl Zimmer und Wohnungsgröße: 0.6244\n"
     ]
    }
   ],
   "source": [
    "# gegebene Parameter\n",
    "anzahl_zufallszahlen = 1_000_000\n",
    "p_lambda = 1.3\n",
    "e_lambda = 0.1\n",
    "\n",
    "# Simulation der Poisson-Verteilung\n",
    "import numpy as np\n",
    "Pj = np.random.poisson(p_lambda, anzahl_zufallszahlen)\n",
    "\n",
    "# Simulation der Exponentialverteilung\n",
    "Ej = np.random.exponential(1/e_lambda, anzahl_zufallszahlen)\n",
    "\n",
    "anzahl_zimmer = Pj + 1\n",
    "wohnungsgroesse = 8 + 8 * anzahl_zimmer + Ej * anzahl_zimmer\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "plt.figure(figsize=(8, 6))\n",
    "plt.scatter(anzahl_zimmer, wohnungsgroesse)\n",
    "plt.xlabel('Anzahl Zimmer')\n",
    "plt.ylabel('Wohnungsgröße (m²)')\n",
    "plt.title('Streudiagramm: Anzahl Zimmer vs. Wohnungsgröße')\n",
    "plt.show()\n",
    "\n",
    "# Lage- und Streuungsmaße\n",
    "print(\"Lage- und Streuungsmaße:\")\n",
    "print(f\"Mittlere Anzahl Zimmer: {np.mean(anzahl_zimmer):.2f}\")\n",
    "print(f\"Standardabweichung Anzahl Zimmer: {np.std(anzahl_zimmer):.2f}\")\n",
    "print(f\"Mittlere Wohnungsgröße: {np.mean(wohnungsgroesse):.2f} m²\")\n",
    "print(f\"Standardabweichung Wohnungsgröße: {np.std(wohnungsgroesse):.2f} m²\")\n",
    "\n",
    "# Korrelation der Zufallszahlenpaare\n",
    "korrelation = np.corrcoef(anzahl_zimmer, wohnungsgroesse)[0, 1]\n",
    "print(f\"Korrelation zwischen Anzahl Zimmer und Wohnungsgröße: {korrelation:.4f}\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Lage- und Streuungsmaße:\n",
      "Mittlere Körpergröße: 170.01 cm\n",
      "Standardabweichung Körpergröße: 9.99 cm\n",
      "Mittleres Gewicht: 75.42 kg\n",
      "Standardabweichung Gewicht: 13.04 kg\n",
      "Korrelation zwischen Körpergröße und Gewicht: 0.6781\n"
     ]
    }
   ],
   "source": [
    "# gegebene Parameter\n",
    "anzahl_zufallszahlen = 1_000_000\n",
    "mu = 170\n",
    "sigma = 10\n",
    "q_beta = 6\n",
    "p_beta = 8/14 * q_beta\n",
    "\n",
    "import numpy as np\n",
    "Xj = np.random.normal(mu, sigma, anzahl_zufallszahlen)\n",
    "Bj = np.random.beta(p_beta, q_beta, anzahl_zufallszahlen)\n",
    "\n",
    "Yj = (Xj/100)**2 * (18 + 22 * Bj)\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "plt.figure(figsize=(8, 6))\n",
    "plt.scatter(Xj, Yj, alpha=0.1)\n",
    "plt.xlabel('Körpergröße (cm)')\n",
    "plt.ylabel('Gewicht (kg)')\n",
    "plt.title('Streudiagramm: Körpergröße vs. Gewicht')\n",
    "plt.show()\n",
    "\n",
    "# Lage- und Streuungsmaße\n",
    "print(\"Lage- und Streuungsmaße:\")\n",
    "print(f\"Mittlere Körpergröße: {np.mean(Xj):.2f} cm\")\n",
    "print(f\"Standardabweichung Körpergröße: {np.std(Xj):.2f} cm\")\n",
    "print(f\"Mittleres Gewicht: {np.mean(Yj):.2f} kg\")\n",
    "print(f\"Standardabweichung Gewicht: {np.std(Yj):.2f} kg\")\n",
    "\n",
    "# Korrelation der Zufallszahlenpaare\n",
    "korrelation = np.corrcoef(Xj, Yj)[0, 1]\n",
    "print(f\"Korrelation zwischen Körpergröße und Gewicht: {korrelation:.4f}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 3. Modellierung der abhangigen Variablen in der Simulationsstudie"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Varianz der Residuen (β0=0, β1=0): 0.2500\n",
      "Varianz der Residuen (β0=-500, β1=1000): 0.0013\n",
      "Varianz der Residuen (β0=-3, β1=6): 0.1496\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x1200 with 6 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from scipy.special import expit as sigmoid\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# Parameter\n",
    "anzahl_elemente = 10_000\n",
    "parameter_sets = [\n",
    "    (0, 0),\n",
    "    (-500, 1000),\n",
    "    (-3, 6)\n",
    "]\n",
    "\n",
    "xi = np.random.uniform(0, 1, anzahl_elemente)\n",
    "\n",
    "results = []\n",
    "\n",
    "for beta_0, beta_1 in parameter_sets:\n",
    "    pi = sigmoid(beta_0 + beta_1 * xi)\n",
    "    yi = np.random.binomial(1, pi)\n",
    "    residuen = yi - pi\n",
    "    results.append({\n",
    "        'beta_0': beta_0,\n",
    "        'beta_1': beta_1,\n",
    "        'pi': pi,\n",
    "        'yi': yi,\n",
    "        'residuen': residuen,\n",
    "        'varianz_residuen': np.var(residuen)\n",
    "    })\n",
    "\n",
    "fig, axes = plt.subplots(3, 2, figsize=(12, 12))\n",
    "for i, res in enumerate(results):\n",
    "    axes[i, 0].hist(res['pi'], bins=50, color='skyblue', edgecolor='black')\n",
    "    axes[i, 0].set_title(f'Verteilung pi (β0={res[\"beta_0\"]}, β1={res[\"beta_1\"]})')\n",
    "    axes[i, 0].set_xlabel('pi')\n",
    "    axes[i, 0].set_ylabel('Häufigkeit')\n",
    "    \n",
    "    axes[i, 1].hist(res['yi'], bins=2, color='orange', edgecolor='black', rwidth=0.8)\n",
    "    axes[i, 1].set_title(f'Verteilung yi (β0={res[\"beta_0\"]}, β1={res[\"beta_1\"]})')\n",
    "    axes[i, 1].set_xlabel('yi')\n",
    "    axes[i, 1].set_ylabel('Häufigkeit')\n",
    "    \n",
    "    print(f\"Varianz der Residuen (β0={res['beta_0']}, β1={res['beta_1']}): {res['varianz_residuen']:.4f}\")\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Häufigkeitstabelle"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1400x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Vorgegebene Häufigkeitstabelle:\n",
      "      bis 20  ueber 20 bis 40  ueber 40 bis 60  ueber 60 bis 80  ueber 80\n",
      "Mann   10000            15000            10000             5000      5000\n",
      "Frau   18000            11000            14000             7000      5000\n",
      "\n",
      "Simulierte Häufigkeitstabelle:\n",
      "Alter       bis 20  ueber 20 bis 40  ueber 40 bis 60  ueber 60 bis 80  \\\n",
      "Geschlecht                                                              \n",
      "Frau         17915            11036            13993             6945   \n",
      "Mann         10094            14974            10016             5145   \n",
      "\n",
      "Alter       ueber 80  \n",
      "Geschlecht            \n",
      "Frau            4999  \n",
      "Mann            4883  \n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# Vorgabeverteilung\n",
    "alter_klassen = ['bis 20', 'ueber 20 bis 40', 'ueber 40 bis 60', 'ueber 60 bis 80', 'ueber 80']\n",
    "maenner = np.array([10_000, 15_000, 10_000, 5_000, 5_000])\n",
    "frauen = np.array([18_000, 11_000, 14_000, 7_000, 5_000])\n",
    "\n",
    "gesamt_maenner = maenner.sum()\n",
    "gesamt_frauen = frauen.sum()\n",
    "gesamt = gesamt_maenner + gesamt_frauen\n",
    "\n",
    "# Wahrscheinlichkeiten fuer Geschlecht\n",
    "p_maenner = gesamt_maenner / gesamt\n",
    "p_frauen = gesamt_frauen / gesamt\n",
    "\n",
    "# Bedingte Wahrscheinlichkeiten fuer Alter gegeben Geschlecht\n",
    "p_alter_maenner = maenner / gesamt_maenner\n",
    "p_alter_frauen = frauen / gesamt_frauen\n",
    "\n",
    "n = 100_000\n",
    "\n",
    "# Simuliere Geschlecht\n",
    "geschlecht = np.random.choice(['Mann', 'Frau'], size=n, p=[p_maenner, p_frauen])\n",
    "\n",
    "# Simuliere Alter bedingt auf Geschlecht\n",
    "alter = []\n",
    "for g in geschlecht:\n",
    "    if g == 'Mann':\n",
    "        alter.append(np.random.choice(alter_klassen, p=p_alter_maenner))\n",
    "    else:\n",
    "        alter.append(np.random.choice(alter_klassen, p=p_alter_frauen))\n",
    "alter = np.array(alter)\n",
    "\n",
    "# Häufigkeitstabelle simuliert\n",
    "simuliert = pd.crosstab(geschlecht, alter, rownames=['Geschlecht'], colnames=['Alter'])\n",
    "\n",
    "# Häufigkeitstabelle vorgegeben\n",
    "vorgegeben = pd.DataFrame({'bis 20': [maenner[0], frauen[0]],\n",
    "                           'ueber 20 bis 40': [maenner[1], frauen[1]],\n",
    "                           'ueber 40 bis 60': [maenner[2], frauen[2]],\n",
    "                           'ueber 60 bis 80': [maenner[3], frauen[3]],\n",
    "                           'ueber 80': [maenner[4], frauen[4]]},\n",
    "                          index=['Mann', 'Frau'])\n",
    "\n",
    "# Grafische Darstellung\n",
    "fig, axes = plt.subplots(1, 2, figsize=(14, 6), sharey=True)\n",
    "vorgegeben.T.plot(kind='bar', stacked=True, ax=axes[0], color=['blue', 'red'])\n",
    "axes[0].set_title('Vorgegebene Verteilung')\n",
    "axes[0].set_ylabel('Anzahl')\n",
    "axes[0].set_xlabel('Alter')\n",
    "simuliert.T.plot(kind='bar', stacked=True, ax=axes[1], color=['blue', 'red'])\n",
    "axes[1].set_title('Simulierte Verteilung')\n",
    "axes[1].set_xlabel('Alter')\n",
    "plt.tight_layout()\n",
    "plt.show()\n",
    "\n",
    "print(\"Vorgegebene Häufigkeitstabelle:\")\n",
    "print(vorgegeben)\n",
    "print(\"\\nSimulierte Häufigkeitstabelle:\")\n",
    "print(simuliert)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Bedingte Verteilung"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import pandas as pd\n",
    "\n",
    "np.random.seed(11)\n",
    "\n",
    "n = 1_000_000\n",
    "anzahl_kunden_pro_tag = 10_000\n",
    "laden_oeffnungszeiten = 12\n",
    "\n",
    "tageszeiten = ['Früh', 'Vormittag', 'Nachmittag', 'Abend']\n",
    "anteile = np.array([0.35, 0.05, 0.20, 0.40])\n",
    "\n",
    "# Simulation\n",
    "sim_tageszeit = np.random.choice(tageszeiten, size=n, p=anteile)\n",
    "\n",
    "# Berechnung der Anzahl Kunden pro Tageszeit\n",
    "anzahl_kunden = np.zeros(len(tageszeiten))\n",
    "for i, t in enumerate(tageszeiten):\n",
    "    anzahl_kunden[i] = np.random.binomial(anzahl_kunden_pro_tag, anteile[i], n).mean()\n",
    "\n",
    "df = pd.DataFrame({\n",
    "    'Tageszeit': tageszeiten,\n",
    "    'Anzahl Kunden': anzahl_kunden\n",
    "})\n",
    "\n",
    "# Plot der Verteilung\n",
    "for i, t in enumerate(tageszeiten):\n",
    "    plt.bar(t, anzahl_kunden[i], label=t, alpha=0.7)\n",
    "plt.title('Anzahl Kunden pro Tageszeit')\n",
    "plt.xlabel('Tageszeit')\n",
    "plt.ylabel('Anzahl Kunden')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "hft_ml",
   "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": "3.11.10"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}