{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "34085770",
   "metadata": {},
   "source": [
    "# 🎓 Jelek és Rendszerek – Gyakorlati anyag\n",
    "\n",
    "## Python programozási feladatok – 8 tanóra\n",
    "\n",
    "**Kuczmann Miklós „Jelek és rendszerek\" című tankönyve alapján**\n",
    "\n",
    "---\n",
    "\n",
    "### Szükséges előismeretek és eszközök\n",
    "\n",
    "| Követelmény | Részletek |\n",
    "|---|---|\n",
    "| **Python** | 3.8+ (Anaconda vagy pip) |\n",
    "| **Csomagok** | `numpy`, `matplotlib`, `scipy`, `sympy` |\n",
    "| **Matematika** | Differenciál- és integrálszámítás, lineáris algebra |\n",
    "| **IDE** | Jupyter Notebook, VS Code, Spyder |\n",
    "\n",
    "### Tartalomjegyzék\n",
    "\n",
    "1. **Jelek alapjai** – Python bevezetés\n",
    "2. **Rendszerek és hálózatok** – LTI rendszer alapok\n",
    "3. **Konvolúció** – FI rendszerek időtartománybeli analízise\n",
    "4. **Állapotváltozós leírás** és differenciálegyenletek\n",
    "5. **Fourier-sor** és frekvenciatartománybeli analízis\n",
    "6. **Fourier- és Laplace-transzformáció**\n",
    "7. **Diszkrét idejű rendszerek** és z-transzformáció\n",
    "8. **Mintavételezés**, rekonstrukció és digitális szűrés\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "47bf9ebe",
   "metadata": {},
   "source": [
    "---\n",
    "## ⚙️ Közös importok – futtasd először!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "ab0b73d3",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "✅ Minden csomag sikeresen betöltve!\n"
     ]
    }
   ],
   "source": [
    "# Minden gyakorlathoz szükséges csomagok\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from scipy import integrate, signal\n",
    "from scipy.integrate import odeint, quad\n",
    "from scipy.signal import (lti, step, impulse, bode, residue, tf2zpk,\n",
    "                           StateSpace, convolve, dlti, dstep, dimpulse,\n",
    "                           residuez, cont2discrete, firwin, freqz, lfilter)\n",
    "from scipy.linalg import expm\n",
    "\n",
    "# Ábrák beállítása\n",
    "plt.rcParams['figure.dpi'] = 100\n",
    "plt.rcParams['font.size'] = 11\n",
    "%matplotlib inline\n",
    "\n",
    "print(\"✅ Minden csomag sikeresen betöltve!\")\n",
    "\n",
    "# Kompatibilitás régebbi és újabb NumPy verziókhoz\n",
    "if not hasattr(np, 'trapz'):\n",
    "    np.trapz = np.trapezoid"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "87b52472",
   "metadata": {},
   "source": [
    "---\n",
    "# 1. gyakorlat: Jelek alapjai – Python bevezetés\n",
    "\n",
    "**Cél:** A hallgatók megismerkednek a jelekkel, azok osztályozásával, és a Python (NumPy, Matplotlib) használatával jelek megjelenítéséhez.\n",
    "\n",
    "## 1.1. Elméleti összefoglaló\n",
    "\n",
    "A **jel** a fizikai mennyiség olyan értéke vagy értékváltozása, amely egyértelműen hozzárendelt információt hordoz. Matematikailag **időfüggvényekkel** írjuk le.\n",
    "\n",
    "**Jelkategóriák:**\n",
    "\n",
    "| | Folytonos értékű | Diszkrét értékű |\n",
    "|---|---|---|\n",
    "| **Folytonos idejű** | Analóg jel | Kvantált jel |\n",
    "| **Diszkrét idejű** | Mintavételezett jel | Digitális jel |\n",
    "\n",
    "Fontos fogalmak: **determinisztikus vs. sztochasztikus**, **belépőjel**, **páros/páratlan**, **korlátos**, **periodikus** jel.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9572fff7",
   "metadata": {},
   "source": [
    "## 1.2. Folytonos idejű jelek ábrázolása\n",
    "\n",
    "**1. feladat:** Jelenítse meg az alábbi folytonos idejű jeleket:\n",
    "- $x_1(t) = 5e^{-2t} \\cdot \\varepsilon(t)$ – exponenciálisan lecsengő belépőjel\n",
    "- $x_2(t) = 3\\cos(2t + \\pi/4)$ – harmonikus jel\n",
    "- $x_3(t) = 4 - 0.5t$ – lineáris jel"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "2d1d9284",
   "metadata": {},
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 1400x400 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Időtengely: -1-től 5-ig, 1000 pont\n",
    "t = np.linspace(-1, 5, 1000)\n",
    "\n",
    "# Egységugrásjel (Heaviside-függvény): ε(t)\n",
    "# ε(t) = 0 ha t<0, 1 ha t>0, 0.5 ha t=0\n",
    "epsilon = np.heaviside(t, 0.5)\n",
    "\n",
    "# Három jel kiszámítása\n",
    "x1 = 5 * np.exp(-2 * t) * epsilon      # exponenciális lecsengés\n",
    "x2 = 3 * np.cos(2 * t + np.pi / 4)     # harmonikus jel\n",
    "x3 = 4 - 0.5 * t                        # lineáris jel\n",
    "\n",
    "# Ábrázolás\n",
    "fig, axes = plt.subplots(1, 3, figsize=(14, 4))\n",
    "\n",
    "axes[0].plot(t, x1, 'b-', linewidth=2)\n",
    "axes[0].set_title(r'$x_1(t) = 5 e^{-2t} \\varepsilon(t)$')\n",
    "axes[0].set_xlabel('t [s]'); axes[0].set_ylabel('x(t)'); axes[0].grid(True)\n",
    "\n",
    "axes[1].plot(t, x2, 'r-', linewidth=2)\n",
    "axes[1].set_title(r'$x_2(t) = 3\\cos(2t + \\pi/4)$')\n",
    "axes[1].set_xlabel('t [s]'); axes[1].grid(True)\n",
    "\n",
    "axes[2].plot(t, x3, 'g-', linewidth=2)\n",
    "axes[2].set_title(r'$x_3(t) = 4 - 0.5t$')\n",
    "axes[2].set_xlabel('t [s]'); axes[2].grid(True)\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "52308fc7",
   "metadata": {},
   "source": [
    "## 1.3. Diszkrét idejű jelek\n",
    "\n",
    "**2. feladat:** Ábrázolja az alábbi diszkrét idejű jeleket:\n",
    "- $x_1[k] = 4 \\cdot 0.5^k \\cdot \\varepsilon[k]$ – geometriai lecsengés\n",
    "- $x_2[k] = 2.5 \\cdot \\cos(\\pi k/6 + 0.5)$ – diszkrét harmonikus jel"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "28376b8c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Diszkrét időindex: -5-től 20-ig\n",
    "k = np.arange(-5, 21)\n",
    "\n",
    "# x1[k]: geometriai lecsengés, belépőjel (k>=0)\n",
    "x1_d = 4 * 0.5**k * (k >= 0).astype(float)\n",
    "\n",
    "# x2[k]: diszkrét szinuszos jel\n",
    "x2_d = 2.5 * np.cos(np.pi * k / 6 + 0.5)\n",
    "\n",
    "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(12, 4))\n",
    "\n",
    "# stem(): diszkrét jelek standard megjelenítése\n",
    "ax1.stem(k, x1_d, linefmt='b-', markerfmt='bo')\n",
    "ax1.set_title(r'$x_1[k] = 4 \\cdot 0.5^k \\cdot \\varepsilon[k]$')\n",
    "ax1.set_xlabel('k'); ax1.grid(True)\n",
    "\n",
    "ax2.stem(k, x2_d, linefmt='r-', markerfmt='ro')\n",
    "ax2.set_title(r'$x_2[k] = 2.5\\cos(\\pi k/6 + 0.5)$')\n",
    "ax2.set_xlabel('k'); ax2.grid(True)\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7565b088",
   "metadata": {},
   "source": [
    "## 1.4. Egységugrásjel és ablakozó függvény\n",
    "\n",
    "**3. feladat:** Implementálja és jelenítse meg az egységugrásjelet, az eltolt változatát, és az ablakozó függvényt!\n",
    "\n",
    "Az ablakozó függvény két eltolt egységugrásjel különbsége:\n",
    "$$\\text{ablak}(t) = \\varepsilon(t - t_1) - \\varepsilon(t - t_2)$$\n",
    "Ez a $t_1 \\leq t \\leq t_2$ intervallumban 1, máshol 0."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "97298895",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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laHvnzp1cj/H48WPMnz+/wLH37t0bDRs2NNtekHMC8j+v/M7J2nHn5t1338WRI0fw9ttvG38/nleQ/iUiomcsHfdLly6NcePGmWzr27cvatSogR9//BErV640WeXyPMM1oCAIePToEbKysuDj44OaNWuaXANmt2HDBgwdOhRt2rTBli1b4ObmZnzup59+gk6nw6RJk0xukOnq6oqJEydiyJAhuf4tEhcXhzfffBOtW7fG2rVrTeLOfu2v1WqhVqtRvXp1BAUF5Xitum3bNtSrVy/Xm48S2Rsma8muBQYGokOHDrk+f+nSJQBArVq1zJ7LaZtMJsPIkSMxadIk/P7772jZsiWSk5Px448/omvXriZJu6VLl2LAgAFo0KABKleujFdeeQUdO3ZE37594eTkBACIj48HoL8QHj16dI4xGu6I/N9//+Ual6+vL8qUKZPreebnzp07ePz4cY7HdnR0RJUqVfDgwQOz5wIDA3O96dfu3buxePFinDhxwqy2XPY6hWPHjsXPP/+McePGYfLkyWjevDlCQkIwYMAAVKlSJc+44+PjkZaWBi8vr1z3uX37dq7JWkP/51Uq4fk7Ut++fRudOnVCYGAgDh06ZDLQExHZu5UrV8LV1RVBQUG4ePGicXvHjh0xd+5cHD16FM2bNzdpU7t2bbPjGLZlP0Zer7ls2TKcOXMGGo3G5Lmc6tYOHToUqampiIuLy3MMt4SDgwN27tyJvn374pVXXgEANG3aFH/88YfZvkIuZRUePHiAy5cv53lDFkPbvC5kHz9+jDlz5hQ49mrVquWY9LTknLLHll1Bzsnacefk448/xldffYVevXrhyy+/zHW/gvQvERE9Y+m4HxgYaCzXl11QUBAuXLiA5OTkPD/UPHToEGbNmoUjR44gPT3d5Lmcru3++usvDBw4ECEhIdi1a5fZB4eG6/U6deqYtTVMYDJcJ2d36tQp9O7dG9WqVcNPP/1kdk7Hjh3D3Llz8fvvv5tN2ske5+uvv46NGzdi/vz5+OyzzxAcHIzWrVvj9ddfl6xkEFFBMFlLJYIlf/QPGzYMU6dOxapVq9CyZUusW7cOGRkZGDlypMl+4eHhuHLlCvbs2YODBw/iwIED+O677zBz5kwcPXoUXl5e0Ol0AIA5c+YgODg4x9d7foZMQWPNa7/nL5YtPbaBi4tLjtt//vlnvPrqq2jevDmWLFkCf39/46eQ3bp1M543oD+/o0eP4siRI4iLi8Nvv/2GmTNnYubMmVi3bl2uN3QD9DOCa9asmeeFXV6DqCGOVatWwd/fP8d9ypcvb/LY09MTjRs3xo4dO7B69eo8Z5QREdmTmzdvYu/evdBqtTle9AD698Pnk7V5yW/cWLJkCSZMmID27dtj2bJlxptzaLVadOrUyWQ8MOjXrx9Wr16NWbNmoWnTplb5UGzHjh0YPHgwQkNDMX/+fJQrV86kdh0A4wd/ud347O+//4YgCGjUqFGur2O44Mut5iqg/4A1t4SwJQpyTkDe51WQc7J23M+bMWMG5syZg549e+KHH34w1unPSUH6l4iI9MQe90+cOIH27dujatWqmDNnDqpWrQoXFxfIZDK8++67Od5jpXr16lCpVPjtt9+wfft29OnTx+T5wnxId+3aNYSHh8PV1RW7d+82u54+efIkWrdujerVq2POnDmoVq2aMc6RI0ciNTXVuK9SqcTPP/+Mv//+G3v37sVvv/2Gzz77DHPnzsWiRYvw/vvvFzguIjExWUvFWtWqVQHoZ1g+v/zfMOvyeeXKlUPv3r2xadMmfP7551i1ahUqV66Mjh07mu3r7u6O119/Ha+//joA/R2tx40bh6+//hpTp041zvh0cnLKd/ZQ9lifl5SUZDZ71fCJZ04XZ4ZPKA28vb1RqlSpHI+dlZWFS5cuGW8IVhBr1qyBk5MT9u3bZ5xFDOjvCv78J5eA/g7PrVq1QqtWrQDob3bWqFEjfPTRR3kma2vUqIHr168jJCQkz4u7vNoD+oRxQWdvKZVKbN26FW+88Qbee+89pKWlITIy0uLXJiIS2+rVq6HVavH555+bfRAFAF9//TU2btyIJUuWmCRIz507h+7du5vse+7cOQDI80YhAPB///d/CAgIQGxsLORyuXF7bmMsAAwYMAAdO3ZE//79ERoaij179piUYbBUamoq3njjDfTo0QP/93//l+t+derUgUwmw//+978cnz958iQA4OWXX871GIa2z5crsraCnhOQ93kV5JxsyfDhbO/evfNN1ALi9S8RUUlQmHH/v//+Q2ZmptlM1Pj4eHh4eJglPrP7/vvvodFosHv3buO1q8H9+/dNrgsN3Nzc8PPPP6Nr1654/fXXER0djTfeeMP4fLVq1QAAZ86cMUs4nzlzBoDp3yIPHjxA586dkZqaioMHD+Y4IWf9+vXIysrCrl27TJ4XBAG3b9/OsdRBo0aNjB9sJicno1mzZpgyZQrefffdQl2HEtmaPP9diOxXWFgYXFxcsGzZMpN6sZmZmfjss89ybff2228jLS0N48aNw5kzZzBixAiTi1CtVouUlBSzdoaLIUMCtWPHjvDx8cGiRYuQlJRktr9GozHu6+3tjebNm2P37t34999/TfabN2+eWdtSpUrBz88P+/fvN5kJc//+faxevdpkX7lcjm7duuHMmTOIiYkxee7LL7806ZuCkMlkEAQBarXaZPvMmTPNZuUYaullV7lyZXh5eeU6u8lgyJAhSElJyXVZ5vMlDJ732muvwcnJCTNmzMDjx4/Nnk9PT8/x3BUKBb777jsMGTIEH330kfGupERE9koQBKxevRoBAQEYP348+vTpY/Y1atQoPHnyBD/88INJ22XLlpmUwsnMzMSnn34KBweHfO+CbCiVk30GrSAImDVrVp7tevfujW3btuHUqVNo166dWV1yQH9BmZCQkN+p48yZM3j06BFq1qyZ535eXl6oXbt2rmUEDB90BgQE5HqMo0ePQi6Xo3Xr1vnGVRQFPScg7/MqyDnZyqxZszBjxgy89tprBUrUAuL1LxFRcVfYcf/Ro0dm90LZvHkzLly4gJ49e+Y5w9Uw5j9/vff111/neV1WqlQp7N69G+3bt8eQIUOwcuVK43M9evSAXC5HVFQUMjIyjNvT0tKwaNEiODg4GD9QzszMRPfu3XHhwgVs2rQp11UjhnN4/lr1q6++MquJntPfH56enqhSpQoyMzNznC1MZA/4EQLZtVOnTmH9+vU5Pte+fXv4+flh3rx5ePfddxEcHIyhQ4dCqVTi+++/Nw42OQ1IrVu3Ru3atfF///d/cHBwwPDhw02ef/ToEfz8/NCtWzc0bNgQvr6+uHnzJlauXAmlUmm86ZmLiwvWrVuH7t27IygoCMOHD0fNmjXx6NEjXLx4ET/++CMWLFiAoUOHAgA+++wzhISE4JVXXsGYMWNQoUIF7Nu3DydPnkS5cuXMYh0/fjwiIyPRsWNH9OzZE/fu3cM333yDKlWqmA2Yc+bMwd69e9GrVy+88847qFmzJo4fP47t27ejWrVquZZOyEmfPn2wdetWhISEYOjQoRAEATExMfjf//6HcuXKmew7cuRIXLt2DR07doS/vz80Gg127NiB8+fP53ijm+fP75dffsGMGTNw6NAhhIWFwdPTE9evX8fvv/+Oy5cvm80izq5ChQpYsWKFsd+HDBmCqlWrIjk5GfHx8di2bRt++uknhISEmLV1cHDAmjVr4OLigk8++QTp6emIiooqcB8REYkpLi4OV65cwcSJE3PdJzw8HC4uLli1apXJzSO9vb3RpEkTDB8+HI6Ojvj+++/x999/4+OPP863tnjfvn3x4YcfomPHjujTpw/S0tLw448/IisrK9+Yu3Tpgp9//hndu3dHSEgIfvnlF5Nl/u3bt8fVq1fzXZpfvXp1lC5dGp988glu3ryJBg0aQKPR4Nq1azh27BgOHDhg3Ldfv36YPn06rly5YpbANMwSioiIQPv27SGXy9GrVy9jSSCdTofdu3ejY8eORaojXxCWnFNe55XfOdnKV199henTp6NSpUoIDw83+4CgVKlS6NGjh8k2MfuXiKi4K+y4HxgYiDlz5uDs2bMIDg5GfHw8vv76a/j4+GD27Nl5vmavXr3w6aefonPnzhg5ciRcXFxw+PBhxMbGIjAwMM/rSWdnZ+zYsQOvvfYa3n77baSnp2P8+PGoVq0apkyZgtmzZ6NZs2YYOHAgBEHA+vXr8e+//2LOnDnGcW369Ok4dOgQwsPDcf/+fbM8QP369VG/fn307NkTn332GcLDw41xHjp0CL/88guqVatmksT95JNPsGfPHnTt2hVVq1aFXC7Hr7/+itjYWPTs2ZPjEdkvgcgOHThwQACQ59fu3buN+0dHRwt16tQRHB0dhfLlywsffPCBcOzYMQGAsGDBghxf4/PPPxcACF27djV7LjMzU4iMjBSaNm0qlC1bVnB0dBQqVqwo9OnTR/jzzz/N9o+PjxeGDBkiVKxYUVAqlULZsmWFl19+WYiMjBSuXbtmsu/Ro0eFkJAQwdnZWXB3dxf69u0rXLt2TfD09BQ6d+5ssq9GoxE++ugjoXz58oKjo6NQp04dYc2aNcKaNWsEAMKBAwfM4ujatatQqlQpoVSpUkLHjh2Ff//9V2jUqJEQFBRksq+/v7/Qpk2bXH8G33zzjVCnTh3ByclJ8Pb2FgYPHizcvHnTrN3WrVuF7t27CxUrVhRUKpXg4eEhBAcHC998842g1WqN++UWs0ajEZYtWyY0bdpUKFWqlODk5CQEBAQIvXr1EjZu3GiyLwBhyJAhZrH+8ccfQp8+fQQfHx9BqVQKPj4+QvPmzYXZs2cL9+/fN+7Xpk0bwd/f36z9+++/LwAQRo8eLeh0ulz7hIhIKn379hUACMeOHSvQfqdPnza+78bFxQkzZswQ/P39BUdHR6FGjRrCF198YdbWMPauWbPGuE2r1QoLFiwQqlevLqhUKqF8+fLCO++8IyQnJ5u9J+f2Pn/48GHBzc1NqF69unD9+nXjdn9/f6Ggf4oeO3ZMCA8PF8qWLSs4ODgInp6eQnBwsDB//nyT/W7duiUolUph5syZZsdIT08Xhg8fLnh7ewsymUxwdnYWNBqN8fm4uDgBgLBz584CxVRUBT0nQcj9vPI7J1sZMmRInn+j5TTWit2/RETFWWHGfcN12t9//y106NBBKFWqlFC6dGmhZ8+ewsWLF03aXb58WQAgTJ8+3WT7jh07hMaNGwsuLi6Ch4eH0K1bN+Hs2bM5XkfldD2pVquFfv36CQBMxrN169YJwcHBgrOzs+Ds7Cw0bdpU+P77703a5je2ZI9127Ztwssvv2yMs0ePHkJ8fLxZnAcOHBD69esnBAQECM7OzoKbm5vw0ksvCQsXLhTS09Pz7FsiKckEwQZ3GiCyA5s3bzYuzcupburXX3+Nd955B9u3b893Gait3b17F97e3hg1ahSWL19u1WNrNBqUK1fOWIJBKoZPfA8fPmysbUtERGRt7777LjZt2oRLly7lWLcuN507d8bdu3fx559/WnzDTjEU9rzshb33LxEREZG9YM1aKvYyMjLMllBmZmZi0aJFUCqVaNu2rVkbnU6HpUuXolKlSujSpYtYoQLQ11F93ieffAIAOd7kzBJpaWlm25YuXYqHDx8W+dhFlZiYCIB3gCYiItuaMWMG1Go1vvzyywK3OXLkCPbs2YPPPvvMbhOJhTkve1Ec+peIiIjIXrBmLRV7v/32m7HoeuXKlZGYmIgNGzYgISEB06ZNM0kOXr58GUePHsWuXbtw7tw5LF++3FjbVgwajQaVK1fGwIEDUatWLTx+/BixsbGIi4tD27ZtizzD9+WXX0br1q1Rr149aLVa/Pbbb9iyZQuCgoJM6heKKSEhAXv27MGyZcsQGBiI6tWrSxIHERG9GDw8PHK8oUheWrRokW/tXKkV5rzsRXHoXyIiIiJ7wWQtFXtVq1ZFUFAQ1qxZg7t370KhUKBOnTpYvXo1hg0bZrLvwYMHMWzYMJQtWxaTJk3C22+/LWqshrtdxsTEYNWqVVCr1QgICMDHH3+Mjz76CHJ50Sa79+zZEzt27MCGDRuQkZGBChUqYPz48Zg2bRpcXV2tdBaW2bNnD6ZOnYrGjRvjyy+/5IwaIiIiIiIiIqJcsGYtERERERERERERkR1gzVoiIiIiIiKya3v37kWbNm3g5eUFlUqFqlWrIiIiAg8fPsyzXUhICGQymdlXQkKCSJETERFZhmUQiIiIiIiIyK4lJyejRYsWeO+99+Dh4YEzZ85gxowZOHPmDGJjY/Ns27JlS0RFRZlsCwgIsGG0REREhVesyiDodDokJiaidOnSrHtJREQWEwQBjx49Qvny5YtcI7o44jhKRERFYW/j6MqVKzFy5EjcvHkT5cuXz3GfkJAQlCpVCj///HORXotjKBERFYUlY2ixmlmbmJiISpUqSR0GEREVc9evX0fFihWlDkN0HEeJiMga7GUcLVu2LABArVbb/LU4hhIRkTUUZAwtVsna0qVLA9CfmJubW6GPo1arERsbi7CwMCiVSmuFR7lgf4uHfS0u9rd4rNXXqampqFSpknE8edFwHC1+2NfiYn+Lh30tHmv2tT2Mo1qtFmq1GufOncOsWbPQrVs3+Pv759nm4MGDcHV1hVarRdOmTTF79my0bt3aotflGFo8sb/Fw74WD/taXFJcixarZK1huYmbm1uRB0gXFxe4ubnxF1sE7G/xsK/Fxf4Wj7X7+kVdvshxtPhhX4uL/S0e9rV4bNHXUo6j/v7+uHnzJgCgU6dO2LBhQ577t2nTBoMHD0b16tWRmJiIqKgodOjQAQcPHkTz5s1zbZeZmYnMzEzj40ePHgEAnJ2d4ezsXOj4FQoFXFxc4OzszN99EbC/xcO+Fg/7WlzW6m/DKpCCjKHFKllLREREREREL66YmBg8fvwYZ8+exezZs9GtWzfExcXBwcEhx/1nzpxp8rhr166oU6cOZs+ejZiYmFxfZ968eWZtASA2NhYuLi5FOwkAcXFxRT4GFRz7Wzzsa/Gwr8VV1P5OS0sr8L5M1hIREREREVGxUL9+fQBAixYt0KhRIzRu3Bjbtm1Dnz59CtTe1dUVXbp0wZYtW/LcLzIyEhEREcbHhuWrYWFhRV6dEhcXh9DQUM6IEwH7Wzzsa/Gwr8Vlrf5OTU0t8L5M1hIREREREVGx06BBAzg4OODixYsWtRMEId99VCoVVCqV2XalUmmV5Ii1jkMFw/4WD/taPOxrcRW1vy1pKy/0qxARERERERFJ5OjRo9BqtahatWqB2zx58gS7du1CkyZNbBgZERFR4XFmLREREREREdm1Xr16oXHjxqhfvz6cnZ1x6tQpLFy4EPXr10ePHj0AACNGjMDatWuh0WgAAIcPH0ZUVBR69uwJf39/JCYmYvHixUhKSsLmzZslPBsiEotWqzXe2KmkUKvVUCgUyMjIgFarlTqcEq8g/a1UKnOtnV4YTNYSERERERGRXQsODsbGjRsxf/586HQ6BAQEYOTIkfjggw/g6OgIQJ+UyX4h7efnh8zMTERGRuL+/ftwdXVFixYt8PXXXyM4OFiqUyEiEQiCgKSkJDx48EDqUKxOEAT4+vri+vXrkMlkUodT4hW0v93d3eHr62uVn4nFydqLFy8iKioKf/zxB86cOYNatWrhzJkzBWq7du1azJs3D1euXEG1atUwffp09O3b1+KgiYiIiiOOoURERIUzefJkTJ48Oc99oqOjER0dbXxcrVo17Nmzx8aREZE9MiRqvb294eLiUqKSmjqdDo8fP0apUqUgl7O6qa3l19+CICAtLQ137twBoP+gsKgsTtaePXsWu3btQtOmTaHT6aDT6QrUbsuWLRg6dCgmT56MsLAw/PTTT+jXrx/KlCmDsLAwiwMnIiIqbjiGEhERERHZllarNSZqy5YtK3U4VqfT6ZCVlQUnJycma0VQkP52dnYGANy5cwfe3t5FLolgcbK2W7du6N69OwBg6NChOHHiRIHaTZ06FX379sW8efMAAG3btkVCQgKmTZvGC00iInohcAwlIiIiIrItQ41aFxcXiSOhF4nh902tVhc5WWtxCr4wWfvLly8jISEB/fv3N9k+YMAAHD9+HPfu3bP4mERERMUNx1AiIiIiInGUpNIHZP+s+fsmyg3G4uPjAQBBQUEm22vXrg1BEJCQkIBWrVqJEQqJ7MkT4Isv5Dhw4CXs2OEAztC3raqJR1H39BYcddkJ5PNGsbnpYmQ4uhkf172+Gw2v/Jjva6S4VsLPjaaZbAs7HQWfh+fzbXu2Yif8XaW38bFcp8HA39/Jtx0AxNV7H0nutYyPK94/hbbnvsy3nSBzwPpWX5tsC774PWreOpBv25ue9bG/zjiTbT3+nILSGXeeHlyA8sljHHU17+8/A/sjoXw74+PS6XfQ48SUfF8TAH56+RM8cvExPq6ZeADB/32fb7vHTl7Y1mSuyba2Z79ExeRT+ba94BeCY9UGmmwb+Ns7kAuafNv+WnsMrpdtYHzs8+A8wv6NyrcdAHzfchm0cqXxccPLP6Lujd1m+6Upy+Arv7GoXBlo2LBAhy4xOIa+2PZf3o/l15djR8wOyGUcRG3N09kTNbNqSh0GEREREb3AREnWpqSkANDfGS07Dw8PAEBycnKO7TIzM5GZmWl8nJqaCkA/pdgwrb0wDG2LcgwqmG+/leOjjxwABEgdSomnRBaS0AOeSCnQ/n3Oz8FdPEvWfohTeBer8m13Eg2w6m/TZO0A7EJr/Jpv2yPny2IVniVrldBhRQFeEwCmnx+AX/EsWdsV1zC9AG2zoERIgmmy9iUcQesCtN2Jrlh11DRZOwmbUB0X82276fxLWIVnydqqeIRPC3iuI85PwkU8S9a+g3h8UIC2/6EqVp0yTdZ2RRxaY0e+bc+cV2LVr6bJ2qVYAydk5tLimcXnu2IHGhgft0YSPinguYadX4pMPEvWzsGJHH82N1ABcWeiMHp0BurWLdChc1Qc3/cLO4YCHEeLu0eZj9BrSy+kqdOA+1JH8+Jo69EWr6tflzqMEo/vI+KxZl/z51V0d+8CCQkeCA+XOhIiIrJXoiRrDZ6fEiwIQo7bDebNm4eZM2eabY+NjbVK7ZG4uLgiH4Pytn9/HQDVpA7jhfEG1qMqLuFLjMt/Z6Ji6OTJk5DJ7hS6fVpamhWjEZelYyjAcbS4S8pM0idqSVR3su7wd1tE7GvxWKOvi/M4ai+2bJHj449b4b33tFKHQkQlTJMmTTBo0CCMHz8eABAdHQ1HR0cMGDDAZL8333wTMpkMK1eulCLMAtmyZQv69u2Ly5cvIyAgoMDtfvrpJyQmJmL06NEm22fMmIGoqCg8fvzYypHahijJWsPsn5SUFPj4PJst9uDBA5PnnxcZGYmIiAjj49TUVFSqVAlhYWFwc3PLsU1BqNVqxMXFITQ0FEqlMv8GVGgHDz5bsvnNN5l4+WUu4bQdGTSatji9+xH+rX4834LWe6qUBhTPZkcokgfh3P38b1TkqHLCX5VNZ1U43vga59Kf5Ns23MMLYeWytdUJOPffX/m2A4DPKlSBzuVZW/njFjh3qwBtZTL8Vc00XuWdD3Du4fB8m1ZxLY2/ypu2zbqyDefUWQD0dxk9deoUXnrpJbP+fsurPIa7P2sry/LBuasFO9dN/n4QHJ+1dXjQC+fuNsu3naB0xF8Bz/1sEqNw7sn0fNu+UsYTf3mbtr108SjwNCGYl5l+/pheKtvPJq0+zt0s2LkeCZQB8my/h/fewbmUPmb7aSDDkqT9eP31ZvD0LPz7tmFmaXFS2DEU4Dha3F1KuQToq2AgrEoY5rWfJ21AJZhGp0HT1U2Nj/m7bXt8HxGPNfu6OI6j9qZiRQEajQNu39aicmWpoyGikuLHH3/E1atX8dZbbxm3RUdHo1SpUmbJ2g8//BB169bFxIkTUaNGDbFDtamffvoJJ06cMEvWvvnmm+jSpYtEUVlOlGStoc5efHw8atV6toz53LlzkMlkJtuyU6lUUKlUZtuVSqVV/qiz1nEod9knfNWs6YBGjUSdzP3CUauBW7ecUCu8QSF+tys8/SqERkWo79e4USEbln36VRgBKHRpjkbP1uCr1Wpcck0sYH8rgWaFPVffp1+F0Kh6IV8TQKPCFof1ePpVGJWefplSq9W4HBMDT8+ivW8Xx/f8wo6hAMfR4k6heDZmerp4olGFwr6HUH7U2mcfGgkQ+LstIva1eKzR1/xZFV3FivoPwm/ckDFZS0RWs2TJEgwYMADOzs757lu9enU0a9YMX331FT7//HObxJOenl6gWMRSsWJFVKxYUeowCkyUaY5VqlRBrVq1sHHjRpPtGzZsQHBwMMqVKydGGERERMUOx1AiIqKSo9LTz6SvX5c2DiKyf6mpqfD390ffvn1Nto8dOxYBAQG4ceMGAODSpUs4fPgw+vR5tkIxJCQEBw8exK5duyCTySCTyTBjxgzj83379sV3330HjSb/G0pHR0ejfv36cHJyQoUKFTBlyhSTdtHR0ZDJZDh69ChCQ0Ph6uqKDz74AABw48YNvPHGGyhXrhycnZ3RunVr/PWX6SpMtVqN9957D56enihTpgxGjBiBJ0/MV+5mZmbio48+gr+/P1QqFYKCgvD9989uxD106FCsXbsWZ8+eNZ7z0KFDAejLIJQqVSrfc7UXFk9zTEtLQ0xMDADg6tWrSE1NxZYtWwAAbdq0gZeXF0aMGIG1a9ea/PBmzZqFfv36ITAwEKGhodi+fTtiY2OxZ88eK50K0QsuKwuy/fvhdeoUUL480KSJ1BER0XM4hhIREb3YypYFypZNR3o6ZykTUd7c3NwQHR2N9u3bY926dRg0aBD27t2L5cuXY+XKlcaZovv27YNSqUSTbDmAZcuW4Y033oCLiwuioqIAwGRmacuWLXH//n2cPHnSpN3zPv30U0yaNAkTJkzA4sWLER8fjylTpkCr1WL+/Pkm+w4cOBAjR47ERx99BGdnZ6SkpKBVq1YoVaoUli5dijJlymDp0qVo164d/ve//8Hb2xuAvnTbsmXLMHPmTDRq1Ajff/89pkyZYhbLa6+9ht9++w3Tp09HUFAQYmJi8MYbb8DDwwOdO3fG1KlTcffuXSQkJOC7774DAHh5eRWy96VlcbL2zp07Zll9w+MDBw4gJCQEWq0WWq3WbJ+0tDTMnTsXUVFRqFatGjZu3IiwsPxrZFLxlb3cZR73wCFrePAAis6d0QKA7vhx4OefpY6IiJ7DMZQsIeDZICoDB1Fbyn6jvuz9TkRkbTIZ8O23sQgPD5c6FKIX0q1b+q/sPDyAKlWAjAzg3DnzNo2eVqI6fx54fsJnQADg6QncvWs+Y750aaB6dUCrBU6dAvz89F+WaNu2Ld577z2MGzcO9erVw/Dhw/Haa6+ZzKI9ceIEatSoYVL+rHbt2nBzc0OpUqXQrJn5/U/q1asHuVyOY8eO5ZqsffToEaZPn45JkyZh7ty5APR1/RUKBT744ANMnDgRZcs+K034zjvvYOLEicbH06dPx4MHD3D8+HFjYrZ9+/aoVq0aoqKisHDhQiQnJ2PZsmWYPHkyIiMjAQAdO3ZEy5YtcfPmTeOxDhw4gB07dmDv3r3Ga6DQ0FDcvHkT06dPR+fOnREYGAgvLy9cvXo1x3MuTiwugxAQEABBEHL8CgkJAaCfAi3kcFOaIUOG4Pz588jMzMTZs2fNLliJiIhKMo6hRERERETSWbECePll06+pU/XP3bhh/tzLLz9rO3So+XNPF81h0ybz58aO1T/35In+8YoVhYt57ty5qFChgjEBuWzZMpPnb926ZfEMUoVCAXd3dyQlJeW6z5EjR/D48WP07dsXGo3G+NWuXTukp6fjzJkzJvs//yFUbGws2rZtC09PT2NbBwcHvPLKK/jzzz8BAP/++y/S09PRs2dPk7a9e/c2O5anpyfatWtnEkv79u1x8uRJs8kuxR3v9kREREREREQkknXrgvDFFw7Yt0/qSIhePG+/Dbz6quk2j6f3Rq5YEXiunKqJ6OicZ9YCwGuvAc2bmz5XurT+X1dX/XEtnVVr4OTkhF69euGTTz7BwIED4eHhgdTUVOPzGRkZOd5UuCDHTU9Pz/X5e/fuAQAaNcr5JrfXn5tKbJg9m739H3/8kePNKQMDAwHoE805tfXx8TE7VnJycq43urx161axuoFYfpisJZtiGQQRsbOJiEosGd/XbYplJohITHK5gPPn+b5DJIW8ShE4OT0reZCTmjVzf87LS/+VEweHvI+bnzNnzmDRokVo2LAhli5disGDB5skJj09PXHlyhWLj5uSkmJSxuB5np6eAIAff/wRlQx3R8ymSpUqJo+f/3vV09MTnTp1wuzZs83aGpLLfk9/GHfu3EGFChWMz9++fdvsWF5eXsb7fzzv+WRvccdkLREREZEdyqkcBhERFX/lyqXj1i1AowEUvCInojxkZWVh0KBBaNy4Mfbv349WrVphyJAhJjcarlmzJg4cOGDW1tHRERkZGTke9/bt20hPT0fNPDLQLVq0gIuLC27cuGFWpqAgOnTogPXr1yMoKAiurq457lOvXj04Oztj27ZtaNiwoXH71q1bzY61cOFCODo6on79+rm+Zl7nXJxwaCAqiTgDi4iIiIjILpUrlw6dTobERKByZamjISJ7Nn36dPzvf//DqVOn4OjoiHXr1qFhw4ZYuHAhFixYAABo2bIlZs2ahRs3bpjMuA0KCsLatWuxc+dO+Pn5oXz58ihfvjwAGGvGtmrVKtfXLlOmDGbNmoVJkybhxo0baNu2LeRyOS5duoTt27dj69atcHFxybV9REQEvvvuO7Rp0wbvvvsuKleujLt37+LYsWMoX748JkyYAE9PT4waNQrz58+Hs7MzGjVqhO+//x5Xr141OVZoaCi6deuGTp06YdKkSahfvz6ePHmCs2fP4uLFi1i1apXxnFevXo0NGzagevXqKFeuHAIMtSqKEYtvMEZUWMwf2hhnYBERlVhcpm9bLDNBRGIqV05fI/L5O8cTEWV35MgRLFy4EIsXLzbWeK1ZsyYWLFiAzz77DMeOHQMAhISEoFy5cti9e7dJ+0mTJqFly5YYPHgwmjRpgm+++cb4XExMDF555RWz2rDPe//997FmzRocOHAAvXr1Qt++ffHNN9+gSZMmcHR0zLNt2bJl8ccff6BBgwb48MMPERYWhgkTJuDKlSto2rSpcb/58+dj1KhRWLhwIV577TXIZDJ88sknZsfbsmULRo0ahWXLlqFz584YMWIEYmNj0aZNG+M+I0aMQN++fTFu3Dg0adIEM2bMyDNGe8WZtWRTzB8SEREVjgAOolJgvxORrZUv/wSHD2vQoAEvx4kody1atIBWqzXbPmbMGAwaNAhubm4A9Ev/Bw8ejA0bNuCtt94y7lehQgXs2rXLrL1Go8HWrVuxaNGiAsXx+uuv4/XXX8/1+aFDh2Lo0KE5Pufr62uc9ZobR0dHfPHFF/jiiy/Mjvv8ftOmTcO0adNyPZabmxs2bNhgtn3GjBnFKnHLmbVEJRFnCBERERER2SWlUoemTQXkUsKRiMhiEydOxLFjx3Dy5Ml89/3uu+9QpkwZDBgwQITIqDCYrCXRMH9IRERUOFymb1ssM0FEYvvsMzmio6WOgohKCl9fX0RHR+Pu3bv57iuXy7F69WooeIdDu8WfDNkUyyCIyMcH6vR0xMTEIDw8nJ/EEBEVcwIHUUmw34lIDPv2yeDiAuSycpiIyGJ9+/Yt0H6DBg2ycSRUVMznEJUUMhng4PDsi4iIiIiI7FKFCsDNm1JHQURE9ojJWhINV3ASEREVDpfp2xbLTBCR2Pz8BCQmSh0FERHZIyZryaa4kpCIiKhwBHAQJSIy2Lt3L9q0aQMvLy+oVCpUrVoVERERePjwYb5t165di1q1asHJyQl169bF5s2bRYg4b+XLA0lJQA43eiciohcca9YSlRSpqZDPnInaly5Bdv8+MHy41BEREREREVlFcnIyWrRogffeew8eHh44c+YMZsyYgTNnziA2NjbXdlu2bMHQoUMxefJkhIWF4aeffkK/fv1QpkwZhIWFiXgGpoKDdYiMdIBazQpmRERkislaEg1XGNrY48dw+PRTVAegA5isJSIqQbhMn4hedP3790f//v2Nj0NCQqBSqTBy5EgkJiaifPnyObabOnUq+vbti3nz5gEA2rZti4SEBEybNk3SZG2DBkCTJpK9PBER2TGWQSCbYhkEIiKiwhE4iEqC5SeIio+yZcsCANRqdY7PX758GQkJCSZJXgAYMGAAjh8/jnv37tk8xtxotcCBA8CNG5KFQEREdorJWqKSghf1RERERFTCabVaZGRk4O+//8asWbPQrVs3+Pv757hvfHw8ACAoKMhke+3atSEIAhISEmweb146dABiYiQNgYhKgF9//RUymQwnTpzIc7/o6GjIZDKLP6gKCQlB165dixKi1fz0009YtmxZgbfnpLDnU7VqVYwdO9bidoXBMggkGpmMyUTRcLksEVGJIgPf121NBhln1RIVA/7+/rh58yYAoFOnTtiwYUOu+6akpAAA3N3dTbZ7eHgA0NfBzU1mZiYyMzONj1NTUwHoZ/HmNpO3IAxtdTo1fH0VuH5dB7VaV+jjUd4M/V2UnxkVjD31tVqthiAI0Ol00OlK3v8vw+qr588xv/Mt6H65vaY99OW2bdvw119/YdSoUQXanpMvv/wSDg4OBT6f7Kvd8uoHnU4HQRCgVqvhkEMxckv+bzBZSzbFyZ4iYmcTEZUoTBxKg/1OZN9iYmLw+PFjnD17FrNnz0a3bt0QFxeX44WxwfN1vw0X3nnVA583bx5mzpxptj02NhYuLi6FjP6ZuLg4uLi0xrFjDxETc6rIx6O8xcXFSR3CC8Me+lqhUMDX1xePHz9GVlaW1OHYzKNHjwAAaWlpAIAnT54YP1jKSUZGhrGdo6NjgV9Ho9FAo9HkeWyxqNVqaLVas1hy256TihUrAoDF56PT6ZCVlZVru6ysLKSnp+PQoUPQaDRmzxt+TgXBZC1RScSZtURERERUAtWvXx8A0KJFCzRq1AiNGzfGtm3b0KdPH7N9DTNoU1JS4OPjY9z+4MEDk+dzEhkZiYiICOPj1NRUVKpUCWFhYXBzcyt0/Gq1GnFxcQgNDUWtWk7Q6cogPLxCoY9Hecve30qlUupwSjR76uuMjAxcv34dpUqVgpOTk6SxFNXRo0cxf/58/PXXX3j48CGqV6+OCRMmoHv37ihdujRkMpnxA6QnT55g2LBhiI2NhZubG8aOHYvIyEjjsQx9Ubp0aeP7WGRkJGJiYnD58mWUKVMGr7zyChYvXgw/Pz9jO4VCAYVCYWyTkZGB1157DWfOnEFsbCyqVauGM2fOYOLEifj9998hl8sREhKCqKgoVKtWDQAwc+ZMzJo1K8dz1Gq1xuN+/PHH2LhxI+7du4caNWrgww8/xIABAwAAw4YNM66mMLx/Dx48GABy3L5mzZocX69du3ZwdXXFzp07jdvi4+MRGRmJgwcPQqPRoE2bNvj8888RGBgIQRDw6NEjyOVyODo65joGZGRkwNnZGa1bt87x986S5DCTtSQa5g+JiIgKJ6/ZX2QdMpmMN3UjKmYaNGgABwcHXLx4McfnDbVq4+PjUatWLeP2c+fOQSaTmWx7nkqlgkqlMtuuVCqtkohSKpWoW1eOK1cApZK3krE1a/3cKH/20NdarRYymQxyuRxyefH+/3X9+nW0atUK77zzDpycnPD777/jrbfeQnp6OkaOHGlyjqNGjUL//v0xatQo/PLLL/j4449RtmxZY2kAw37Z29y9excfffQRypcvj7t372Lx4sVo27Ytzp07B4XiWcrQ0J+PHz9G9+7dcePGDRw+fBiVKlXC9evX0aZNGwQEBGDt2rXQarWYPn062rRpg9OnT8PLywtvvfUWOnfubDyeRqPBkCFDoFAojLEMGjQIMTEx+OSTT1C3bl388MMPGDRoEARBwKBBgzBt2jTcu3cPCQkJ+O677wAAXl5eAJDj9rx+9obzAYBLly6hVatWqFu3LqKjoyGXyzFnzhyEhobi/PnzJr/P2ds9Ty6XQyaT5fp/wJL/F0zWkk3xmkdE7GwiohKFiUMiorwdPXoUWq0WVatWzfH5KlWqoFatWti4cSN69uxp3L5hwwYEBwejXLlyYoWao3nzJH15ohdP48ZAUpK0Mfj6AvncCCy7119/3fi9IAho3bo1rl+/jtWrV2PkyJEm+7Zr1w6LFi0CAHTs2BFJSUmYM2eOMambk9WrVxu/12q1aN68OSpWrIj9+/cjLCzMZN8HDx6gc+fOSEtLw+HDh+Ht7Q0A+Oyzz5CVlYXY2Fhj8rRp06aoXr06vvrqK8yYMQMVK1Y0lh8AgLFjx+Lu3bs4duwYAOD06dP48ccf8dVXX2H06NHGc0hMTMTUqVMxaNAgBAYGwsvLC1evXkWzZs1MYstte0HMnDkTHh4eiIuLM86IbdGiBapUqYJvv/22QHVwrY3JWqKSiDOwiIiIiKgE6dWrFxo3boz69evD2dkZp06dwsKFC1G/fn306NEDADBixAisXbvWpFbgrFmz0K9fPwQGBiI0NBTbt29HbGws9uzZI9GZmDJ8Lsc/34lEkJQEPL1BYXGRkpKC6dOnY/v27bh586axZICnp6fZvtk/lAL075vr16/HjRs3ULly5RyPv3v3bsyePRtnz541WaZ/4cIFk2TtvXv3EBISAicnJ/z6668mZWQOHz6Mdu3aGRO1gP5mkC1atMDhw4fNXnPVqlVYtmwZtm3bZlwBYdivX79+Jvv2798fw4YNw/Xr11GpUqWcO6mIYmNj8frrr0OhUBjHDw8PD7z00kv4888/mawloiJQqaBr1w73792DZ506UkdDRERERGQ1wcHB2LhxI+bPnw+dToeAgACMHDkSH3zwgfFGOVqt1pjIMOjbty/S0tIwd+5cY/3EjRs3ms0Yk8LBg0B4OJCQANgoB0FE2fn6Sh2BxTEMHToUR44cwbRp01CnTh24ublh2bJl2LRpk9m+hpmuzz++detWjsnaP//8E6+++iq6d++OyZMnw9vbGzKZDM2aNTPejMzgwoULSElJwZIlS8zqfaekpKBBgwY5nKovzp8/b7Ltt99+w5gxYzB9+nR0797d5BgKhQJly5Y1OwYAJCcn2yxZe+/ePSxZsgRLliwxe87Z2dkmr5kfJmvJpriCU0Te3tDu2YMjMTEIDw9H7vfDJSKi4kDAs0FUBk65sjVDH7P8BJF9mjx5MiZPnpznPtHR0YiOjjbbPmTIEAwZMsRGkRWehweQlgYkJjJZSyQKC8oP2IOMjAzs2rULixcvxrhx44zbdTpdjvvfuXMnx8fZbxaW3bZt21CmTBls2rTJWCbh6tWrOe7bokULdOjQAREREfD09MSgQYOMz3l6euL27dtmbZKSkkxmAF+/fh29e/dG586dMW3aNJN9PT09odFokJycbNIm6WnZipxmEluLp6cnunTpYiy/kF3p0qVt9rp5YbKWiIiIiIiISGTly+v/TUyUNg4isk+ZmZnQarXG1QMA8OjRI+zcuTPH/bdt22ZSCuHHH39E+fLlTWrFZpeeng6lUmlyI1vDDbpy8t577yE9PR3Dhg2DSqXCa6+9BgBo1aoVVqxYgfv37xtnxl6/fh1HjhzBRx99BABIS0tD9+7dUa5cOaxbt87s5rmtWrUCAGzatMmk7MDGjRvh7+9vnFXr6OhoNus3r+0F0aFDB5w5cwYNGzaEg4P5tLfckuO2xGQtERERERERkcjKlgWUymJXQpOIRFKmTBk0adIE8+fPh5eXFxQKBebPn48yZcqYzaIFgP3792PixIkIDQ1FXFwc1q9fj6+++irXm4uFhoZiyZIlGDduHHr27ImjR49i3bp1ecYUGRmJ9PR0vPHGG3BycsKrr76KCRMmYM2aNQgLC8OUKVOg1Woxffp0eHp6YsyYMQCACRMm4PTp01izZg3Onj1rcsxmzZqhfv366N27NyIiIpCWloY6depg06ZN2LNnD/7v//7PuG9QUBBWr16NDRs2oHr16ihXrhwCAgJy3V4QM2fORJMmTdCxY0eMHDkSPj4+SEpKwsGDB/HKK6+Y1dEVA5O1ZFPZVxKyaD4REVHBZV+O//zsA7I+mUwGCKblJ4iIbEkm08+u5cxaIsrN999/j5EjR2LIkCEoW7Ysxo8fj0ePHmHx4sVm+65YsQIrVqzAsmXLULp0acyePTvHpf0G4eHhWLBgAZYuXYo1a9agZcuW+Pnnn1GjRo08Y5o1axbS09Px2muvYfv27ejYsSMOHTqEDz74AIMGDYJcLkfbtm2xePFi403Hzp8/D61Wi8GDB5sdz/A37/r16zFlyhRERUXh3r17qFGjBtavX4+BAwca9x0xYgSOHz+OcePG4f79+xgyZAiio6Nz3Z6b7H9bV6tWDcePH8fHH3+M0aNH4/Hjx/Dz80Pr1q1Rv379PPvCVpisJSopEhOh6NgRIY8eQX7oEJDDmzcREREREdmPmBjguXsCEREZVatWDfv37zfZptPpMGHCBOPjkJAQY8KzS5cuuR5r6NChGDp0qMm2SZMmYdKkSSbbnq/f/+uvv5oda9GiRVi0aJHxcb169bB3795cXzunYzzPyckJixcvzjERbeDm5oYNGzYUeHtOHj16BH9/f5Nt1atXx8aNG3Pc31AG4dKlS7nOUrY2JmuJSgq1GrIzZ1AGgO76damjISIiIiKifNSuLXUEREQvhqSkJOzfvx+nT5/GsGHDpA4nT+KkhOmFxTIIREREhZN9Ob4MHERtzdDHLINARGLatg14/32poyAiKvl++OEHjBkzBq+//jpGjBghdTh5YrKWqKQQeHFJRERERFScnD8PrFkjdRRERCXfe++9h5SUFKxbtw7Ozs5Sh5MnJmuJSiJOYyYiIiIisnt+fkBKCpCZKXUkRERkL5isJZtiGQQiIqLCyX5zB5ZBsD0Z/1AhIgn4+ur/vX1b2jiIiMh+MFlLREREREREJAFDsjYpSdo4iEoigaUCSUTW/H1jspaopOBARERERERUrPj7A1OnAl5eUkdCVHIolUoAQFpamsSR0IvE8Ptm+P0rCkWRj0CUB5ZBkAg7m4ioROESfdtjqQkikoK7OzBrltRREJUsDg4OcHd3x507dwAALi4uJepvKZ1Oh6ysLGRkZEAu5xxMW8uvvwVBQFpaGu7cuQN3d3c4ODgU+TWZrCUiIiKyQwK4YkIK7HciEttvvwFlygD16kkdCVHJ4fu0xoghYVuSCIKA9PR0ODs7l6gktL0qaH+7u7sbf++KislaopLCwwPaefOQkJCAmt27s8YJEREREVExMG4c0Lw5sGyZ1JEQlRwymQx+fn7w9vaGWq2WOhyrUqvVOHToEFq3bm2VJfeUt4L0t1KptMqMWgMma8mmWAZBRO7u0L3/Pi7GxKBGeLjU0RARkRVxib7tcWYKEUnF15c3GCOyFQcHB6sm0eyBg4MDNBoNnJycmKwVgRT9zcl3RERERHaIdzCWBvudiMTGZC0REWXHZC0RERERERGRRJisJSKi7JisJZtiGQQRaTRAYiKckpOBlBSpoyEiIiviEn3bY6kJIpJK9eqAn5/UURARkb1gspaopLhyBcqAAHQcPhwOEyZIHQ0RERWRAC7HJyJ6EQwfDvz+u9RREBGRvWCyloiIiIiIiEhCgmC6KpGIiF5cTNaSTbEMAhERUdFxib7tsdQEEUnlv/8AV1fg8GGpIyEiIntgcbL2woUL6NSpE1xdXeHt7Y13330X6enp+bZ78uQJJk+ejMDAQLi4uKB69eqYMWMGMjMzCxU4ET2HH8UT2T2OoWQJge/rkmD5CSISW7lyQHo6bzJGRER6Ckt2fvDgAdq1awd/f39s3boVd+7cQUREBO7fv4/169fn2fadd97BTz/9hDlz5qBu3bo4fvw4pk6diuTkZHzxxRdFOgkieg5nBxHZHY6hRERElBM3N8DJiclaIiLSsyhZu2LFCqSkpOCff/5BuXLl9AdQKDBw4EBMmTIFQUFBObbTaDTYvHkzJk2ahHHjxgEA2rZti6tXr2Ljxo280CzBWAaBiEiPYygVBZfo2x5LTRDZt82bN+O7777DX3/9heTkZAQGBuKdd97B22+/Dbk89wWjISEhOHjwoNn2+Ph41KpVy5YhF5hMBvj6MllLRER6FpVBiImJQYcOHYwXmQDQu3dvqFQqxMTE5NpOEARoNBqUKVPGZLu7uzuX+BFZC/8vEdk1jqFkKS7Hlwb7ncg+LV68GCqVCosWLcLPP/+MHj16YPz48fjwww/zbduyZUscPXrU5CsgIMD2QVuAyVoiIjKwaGZtfHw8hg8fbrJNpVIhMDAQ8fHxubZTKpUYNmwYli5dipYtW6JOnTr4888/sXLlSuMsISKyIs7AIrI7HEOJiIgKb+fOnfDy8jI+btu2LR4/fowvv/wSn3zyCVQqVa5t3d3d0axZMzHCLLT16/XlEIiIiCxK1qakpMDd3d1su4eHB5KTk/Nsu3z5cowaNcpkkBw3bhymTZuWa5vMzEyTm6ekpqYCANRqNdRqtSWhmzC0LcoxqGC0WgcYJnBrtRqwy21IrYby6bc6nQ5adrbN8b1EPNbqayl/VmKPoQDH0eJOo9EYvxd0AvvbxrKXmmBf2x7fR8Rjzb6W8ueVPVFr0LBhQ2RkZCA5ORl+fn4SRGU9gYFSR0BERPbComQtkHPNNEEQ8q2lNnnyZPz888/45ptvULNmTfz111+YPn06PDw8MHPmzBzbzJs3L8fnYmNj4eLiYmnoZuLi4op8DMrbjRsNAVQGABw5cgTXrj2WNqASzPXmTXR4+n3irVs4mceyarIuvpeIp6h9nZaWZqVICkfMMRTgOFrc/S/tf8bvr12/lme5DCq67Mlx/m6Lh30tHmv0tdTj6PMOHz4MT09PeHt757nfwYMH4erqCq1Wi6ZNm2L27Nlo3bq1SFEWzJ49wJYtwKpVUkdCRERSsyhZ6+HhgZSUFLPtDx48yPXGKABw5swZREVFYfv27Xj11VcBAK1bt4ZcLscHH3yAMWPG5DjARkZGIiIiwvg4NTUVlSpVQlhYGNyKsEZErVYjLi4OoaGhUCqV+TegQvvxRwfj9y1atEDduhZ/PkAFlZmJ9Jdfxh9//IFmnTsjvEoVqSMq8fheIh5r9bVhZqkUxB5DAY6jxd2JxBPABf33lStVRnjncGkDKuEU5xRAlv57/m7bHt9HxGPNvpZyHH3eiRMnsGbNGkyfPh0ODg657temTRsMHjwY1atXR2JiIqKiotChQwccPHgQzZs3z7Wd2KtTLl+WYc0aB3z5pQZ5nA5ZiLP4xcO+Fg/7WlxSrPK0KHMWFBRkVlcvMzMT//33n1kdvuzOnTsHAGjQoIHJ9gYNGkCj0eDq1as5XmiqVKocaw8plUqr/FFnreNQ7rJPFlMqFexvW1IqgUaNkJqUBEWVKuxrEfG9RDxF7Wspf05ij6EAx9HiTqF49meag4MD+9rGZHj2Rwt/t8XDvhaPNfraXn5WSUlJ6N27N4KDg/O9wdjzK0y6du2KOnXqYPbs2XmuWBB7dcqNG77Q6Zpi48Z9cHfPzKUVFRZn8YuHfS0e9rW4xFzlaVGyNjw8HLNnz8b9+/dRtmxZAMC2bduQmZmJ8PDcZ3v4+/sDAP766y9UrlzZuP3EiRMAYHd34iQiIrI2jqFkKQGC1CG8kNjvRPbt4cOH6Ny5M1xcXLBjxw6LE8iurq7o0qULtmzZkud+Yq9O8fKSYe5coE6d9njppUIfnp7DWfziYV+Lh30tLilWeVqUrH377bexdOlSdO/eHVOnTsWdO3cQERGBgQMHmizhHDFiBNauXWus/dW4cWMEBwdj1KhRuH37NmrWrIk///wTs2bNQr9+/XIsFk9ERFSScAwlIiIqmoyMDLz66qu4ffs2jh49avzw01KCkP+HMmKvTqlYUf/v/ftKMPdifZzFLx72tXjY1+ISc5WnRclad3d37N+/H+PGjUOvXr3g4uKC/v37Y8GCBSb7abVaaLVa42MHBwfs3LkTU6dOxYIFC5CUlIRKlSph3LhxmDJliiUhEFFuHjyAbMsWVD59GrIyZYCQEKkjIqJsOIYSEREVnkajwWuvvYZTp07h0KFDxpUnlnry5Al27dqFJk2aWDnCovHxAWbMALhghoiILL7bU40aNbB3794894mOjkZ0dLTJNm9vb6xYscLSl6NiLvuH1vnc7JyK6tYtKN56Cw0B6FJTmawlskMcQ8kS2Wd+Za+nSrYhe/qHSkFm3BGR+MaMGYOdO3di4cKFSEtLwx9//GF8rnbt2nBzczNbnXL48GFERUWhZ8+e8Pf3R2JiIhYvXoykpCRs3rxZqlPJkUoFTJ8udRRERGQPLE7WEhEREREREYnJ8GHnpEmTzJ47cOAAQkJCzFan+Pn5ITMzE5GRkbh//z5cXV3RokULfP311wgODhYt9oI6elR/z+DGjaWOhIiIpMRkLREREREREdm1K1eu5LvP86tTqlWrhj179tguKCubMgXw9gZ++EHqSIiISEpyqQOgko1lEETEZZtERCWKgGxlEDiI2hxLTRCR1Hx9gaQkqaMgIiKpMVlLVBLxop6IiIiIqFjx9QVu3ZI6CiIikhqTtUREREREREQS8/UFbt+WOgoiIpIak7VkUyyDICKWQSAiKlGEbO/rXKJve4ZSE9nLTxARiSkwEKhWDdBopI6EiIikxGQtUUnEzDgRERERUbHSuzdw4gSg4G3AiYheaEzWEhEREREREdkBQQB0OqmjICIiKTFZSzbFMggiUigg+Pkhw8MDQpkyUkdDRERWJOMganMsNUFEUrt7F3ByAnbtkjoSIiKSEhdYEJUUNWtCc/Uq9sbEIDw8HA5Sx0NEREXC2qnSYL8TkVQ8PAC1GkhKkjoSIiKSEmfWEhEREREREUlMoQC8vIDbt6WOhIiIpMRkLdkUyyAQEREVHZfo2x5LTRCRPfDx4cxaIqIXHZO1RERERHZIELgcn4joRePry5m1REQvOtasJSoprl2Dwwcf4OVbtyBLTATeeUfqiIiIiIiIyAIrVwIuLlJHQUREUmKylmyKZRBE9PAh5Js3oyIAXc2aUkdDRERWxCX6tsdSE0RkD/z9pY6AiIikxjIIRCUFl8sSEZUoAvi+LgWWnyAiKe3bB7zxhtRREBGRlJisJSqBBM7AIiIiIiIqdm7dAr77DkhLkzoSIiKSCpO1ZFMsg0BERFR0XKJveyw1QUT2wMdH/y9vMkZE9OJispaopOCyTSKiEoXL8aXB8hNEJCVfX/2/TNYSEb24mKwlKok4O4iIiIiIqNjhzFoiImKylmyKZRCIiIisgGOozbHUBBHZg7JlgZkzgerVpY6EiIikopA6ACKyEi6XJSIqUbgcXxrsdyKSkoMDMG2a1FEQEZGUOLOWqCTiNGYiIiIiomLpyBHgjz+kjoKIiKTCmbVkUyyDICJPT+gGD8aNGzdQPjhY6miIiMiKuETf9mT8Q4WI7MSsWYCrK7B1q9SREBGRFDizlqikqFwZ2lWrcHL8eAiDB0sdDRERFZHA8jZEREabN29Gjx49UKlSJbi6uqJ+/fpYvnw5dDpdvm3Xrl2LWrVqwcnJCXXr1sXmzZtFiLjwfH2BpCSpoyAiIqkwWUtERERERER2bfHixVCpVFi0aBF+/vln9OjRA+PHj8eHH36YZ7stW7Zg6NCh6NmzJ3bv3o327dujX79+iI2NFSlyy/n4MFlLRPQiYxkEsimWQSAiIio6LtG3PZaaILJvO3fuhJeXl/Fx27Zt8fjxY3z55Zf45JNPoFKpcmw3depU9O3bF/PmzTO2S0hIwLRp0xAWFiZK7Jby9QVu35Y6CiIikgpn1hIRERHZIQEsgyAF9juRfcqeqDVo2LAhMjIykJycnGOby5cvIyEhAf379zfZPmDAABw/fhz37t2zSaxFFRgIBAUBmZlSR0JERFJgspaopDh1Cgpvb3QeOBDyfJaDEREREREVd4cPH4anpye8vb1zfD4+Ph4AEBQUZLK9du3aEAQBCQkJNo+xMF59FfjzTyCXycJERFTCsQwC2RTLIIhIq4XswQM4AtCmp0sdDRERWRGX6NseS00QFS8nTpzAmjVrMH36dDg4OOS4T0pKCgDA3d3dZLuHhwcA5DojFwAyMzORmW1qa2pqKgBArVZDrVYXOm5D2/yOIQiATgfkcmpUQAXtbyo69rV42NfislZ/W9KeyVqikoJ3DSciKlEEvq9Lgv1OZP+SkpLQu3dvBAcH53uDMcD8wxjD//O8PqSZN28eZs6cabY9NjYWLi4uFkZsLi4uLtfnHj9WYujQToiIOIEWLW4V+bUo7/4m62Jfi4d9La6i9ndaWlqB92WyloiIiIiIiIqFhw8fonPnznBxccGOHTugVCpz3dcwgzYlJQU+Pj7G7Q8ePDB5PieRkZGIiIgwPk5NTUWlSpUQFhYGNze3QsevVqsRFxeH0NDQXGPX6YChQ2WoWPFlhIfrCv1aVLD+JutgX4uHfS0ua/W3YYVGQTBZSzbFySkS4VJOIiIiIiphMjIy8Oqrr+L27ds4evQoypYtm+f+hlq18fHxqFWrlnH7uXPnIJPJTLY9T6VSQZVD0VilUmmV5Eh+x/HxAe7edYBSyToI1mCtnxvlj30tHva1uIra35a05Q3GSDTMH9oYM+NERCWKgGfv66ynanusC0xk3zQaDV577TWcOnUKe/bsgb+/f75tqlSpglq1amHjxo0m2zds2IDg4GCUK1fOVuEWmY8PcPu21FEQEZEUOLOWiIiIiIiI7NqYMWOwc+dOLFy4EGlpafjjjz+Mz9WuXRtubm4YMWIE1q5dC41GY3xu1qxZ6NevHwIDAxEaGort27cjNjYWe/bskeI0CszXl8laIqIXFZO1ZFOc7Cmi7J3NGVhEREREVILs3bsXADBp0iSz5w4cOICQkBBotVpotVqT5/r27Yu0tDTMnTsXUVFRqFatGjZu3IiwsDBR4i6sr78GnJ2ljoKIiKTAZC2JhvlDIiKighOyfQjHJfq2Zyg1kb38BBHZjytXruS7T3R0NKKjo822DxkyBEOGDLF+UDZUqZLUERARkVRYs5aIiIiIiIjIjhw4APTrx5WKREQvIiZryab4x4WIqlaFZt06nHj/fegGD5Y6GiIiIiIiKqQ7d4BNm4BHj6SOhIiIxMYyCCQalkGwsbJlIfTrh5ulS+OlRo2kjoaIiIoo+3J8lkGwPUMfswwCEdkDHx/9v0lJgJubtLEQEZG4OLOWiIiIiIiIyI74+ur/vX1b2jiIiEh8TNaSTbEMAhERERERkWWyz6wlIqIXC5O1JBqWQbCxx48h+/NPuF+4AFy9KnU0RERkRTIOojbHPiYie+LuDnzyCVC7ttSREBGR2FizlqikOHsWipYt0QaA9vp14IsvpI6IiIiKQODyFCKiF5ZMBkyZInUUREQkBYtn1l64cAGdOnWCq6srvL298e677yI9Pb1AbZOTkzF69Gj4+fnByckJNWrUwIoVKywOmooPXmcSET3DMZSIiIgK6sgR4PffpY6CiIjEZtHM2gcPHqBdu3bw9/fH1q1bcefOHUREROD+/ftYv359nm0fP36MNm3awNnZGZ9//jm8vb3xv//9D2q1ukgnQMUHVxcS0YuMYygVhQwcRG2NfUxE9mbePP3kl59/ljoSIiISk0XJ2hUrViAlJQX//PMPypUrpz+AQoGBAwdiypQpCAoKyrXt3LlzkZ6ejuPHj8PZ2RkAEBISUvjIicgUpzET2TWOoWQpAXxflwL7nYjsha8v8M8/UkdBRERis6gMQkxMDDp06GC8yASA3r17Q6VSISYmJs+2q1evxogRI4wXmURkQ5zGTGR3OIYSERGRJXx9gdu3pY6CiIjEZlGyNj4+3mzmj0qlQmBgIOLj43Ntd/nyZdy+fRseHh7o2rUrVCoVypYtizFjxhS4Vh8VT9knezJ/SEQvMo6hVBQyDqI2xz4mInvj46NP1nIBHRHRi8WiMggpKSlwd3c32+7h4YHk5ORc2yUlJQEAJk6ciL59+yImJgbnzp1DZGQksrKysHLlyhzbZWZmIjMz0/g4NTUVAKBWq4tUp8/QlrX+bE+nc4DhMwH9z03aeEoymVpt/A+t02qhY2fbHN9LxGOtvpbyZyX2GApwHC3u1Jpn/avT6tjftvY0GSIIAvtaBHwfEY81+5o/L3EFBgINGgBpaYCrq9TREBGRWCxK1gI5zzoQBCHP2Qg6nQ4AEBQUhNWrVwMA2rdvD7VajYkTJ2L27Nnw9fU1azdv3jzMnDnTbHtsbCxcXFwsDd1MXFxckY9BebtzJxiAHwDg4MGDcHfPkjagEswjIQGtn35/9fp1nM1nWTVZD99LxFPUvk5LS7NSJIUj5hgKcBwt7k6mnjR+f+nSJcSk833dlrLPVOfvtnjY1+KxRl9LPY6+aDp31n8REdGLxaJkrYeHB1JSUsy2P3jwIM8bo3h6egIA2rVrZ7K9Xbt20Ol0iI+Pz/FCMzIyEhEREcbHqampqFSpEsLCwuDm5mZJ6CbUajXi4uIQGhoKpVJZ6ONQ/laudDB+HxLSBuXLs79tRfb0/xkA+FeuDP/wcAmjeTHwvUQ81uprw8xSKYg9hgIcR4s7xSUFcEn/fWBgIMJD+L5uSy6XXYCH+u/5u217fB8RjzX7Wspx9EWl0+m/FBZPsyIiouLKorf8oKAgs7p6mZmZ+O+//zB8+PBc2wUGBsLR0dFsu/C0+I5cnnPpXJVKBZVKZbZdqVRa5Y86ax2Hcpf9R8v+trFsf8HJHRzgwL4WDX+3xVPUvpby5yT2GApwHC3uHByefeApl8vZ1yLi77Z42NfisUZf82clrsePAQ8PYN064PXXpY6GiIjEYtENxsLDw7Fv3z7cv3/fuG3btm3IzMxEeB6z+BwdHREaGop9+/aZbN+3bx8UCgVq165tYdhEZKZJE6hv30bM+vXQ5bDsmYikxTGUiIiILOHqCiiV+puMERHRi8OiZO3bb78Nd3d3dO/eHXv37sW6deswbtw4DBw40GQJ54gRI6B4bp3GtGnTcOrUKQwePBixsbFYsmQJpk+fjrFjx8LLy8s6Z0N2J/udS3mTZRtTKAAPD6hLlQKsUIuSiKyLYygVRV51jck62MdEZG9kMsDHB3h6r1EiInpBWFQGwd3dHfv378e4cePQq1cvuLi4oH///liwYIHJflqtFlqt1mRbcHAwdu3ahcjISHTr1g1ly5bFuHHjMHv27KKfBRERkZ3jGEqWErJ/4kmiEcB+JyL74evLmbVERC8ai8uU16hRA3v37s1zn+joaERHR5ttDw0NRWhoqKUvSUREVCJwDCUiIiJLcGYtEdGLh/eUJJtiGQQRXbsG+erVqHHhAmQqFdCpk9QRERGRlcjAQdTW2MdEZI+WLQNyuFcoERGVYEzWEpUU167BYeZMBAHQ+vkxWUtEVMxxOb402O9EZE/Kl5c6AiIiEptFNxgjIiIiIiIiInEcOgT06gXodFJHQkREYmGylmyKZRBExBvREBGVWDIOojbHPiayfxcvXsSoUaPQoEEDKBQK1K1bt0DtQkJCIJPJzL4SEhJsHHHR3bsHbNsGJCdLHQkREYmFZRCIiIiI7JDAD+GIiEycPXsWu3btQtOmTaHT6aCzYLppy5YtERUVZbItICDAyhFan4+P/t/bt4Fy5aSNhYiIxMFkLREREREREdm9bt26oXv37gCAoUOH4sSJEwVu6+7ujmbNmtkqNJvx9dX/m5QE1KkjbSxERCQOlkEgm2IZBCIioqKTgYOorbGPieyfXP7iXb4aZtYmJUkbBxERiefFG+2ISioulyUiKlEE8H1dCiw/QVQyHTx4EK6urnByckKbNm1w6NAhqUMqkFKlgPnzgZdekjoSIiISC8sgEJVEnMZMRERERAQAaNOmDQYPHozq1asjMTERUVFR6NChAw4ePIjmzZvn2CYzMxOZmZnGx6mpqQAAtVoNtVpd6FgMbS05RkSEoW2hX/aFVZj+psJhX4uHfS0ua/W3Je2ZrCWb4uQUIiIiIiKS0syZM00ed+3aFXXq1MHs2bMRExOTY5t58+aZtQOA2NhYuLi4FDmmuLi4Au+bkOABrVaOOnXuF/l1X1SW9DcVDftaPOxrcRW1v9PS0gq8L5O1JBpO9rSx0qWha9wYDx8+hFvFilJHQ0RERZR9Ob6Mg6jNGfqY5SeISj5XV1d06dIFW7ZsyXWfyMhIRBimtEI/s7ZSpUoICwuDm5tboV9brVYjLi4OoaGhUCqVBWoTHe2AJ0+AiRO1hX7dF1Vh+psKh30tHva1uKzV34YVGgXBZC1RSdGwIbRHjuBQTAzCw8PhIHU8RERERER2Kr/61CqVCiqVymy7Uqm0SnLEkuP4+QFHjgBKJW85U1jW+rlR/tjX4mFfi6uo/W1JW77bk02xDAIREREREdmTJ0+eYNeuXWjSpInUoRSIry+QlCR1FEREJBbOrCXRcAUnERFRwWVfji8DB1FbYx8T2b+0tDRjjdmrV68iNTXVWMqgTZs28PLywogRI7B27VpoNBoAwOHDhxEVFYWePXvC398fiYmJWLx4MZKSkrB582bJzsUSPj7A3buAVgs4cPkcEVGJx2QtERERERER2b07d+6gb9++JtsMjw8cOICQkBBotVpotc9qu/r5+SEzMxORkZG4f/8+XF1d0aJFC3z99dcIDg4WNf7CCgwEgoOBx4+BMmWkjoaIiGyNyVqyKZZBENHJk3AYOxatUlIgv3EDGDNG6oiIiIiIiKwmICAg31qz0dHRiI6ONj6uVq0a9uzZY+PIbKtDB/0XERG9GJisJdGwDIKNPXwI+ZEjKAtAe/Wq1NEQEVERZU9IyDiI2pyhj7OXnyAishdaLaDTAbyXEBFRyccbjBGVFJzGTERERERU4mRkACoV8MMPUkdCRERiYLKWbIr5Q4lwBhYRERERUYng5AS4ugJJSVJHQkREYmCylkTD/CEREVHhyMBB1NbYx0Rkz3x8gNu3pY6CiIjEwGQtUUnBacxERCUKa6dKg/1ORPbI15fJWiKiFwWTtWRTzB9KhNOYiYiIiIhKDB8flkEgInpRKKQOgF4czB/aGDPjREQlloyDqM2xj4nIni1dCjg6Sh0FERGJgclaopKIF5xERMWewA/hJMF+JyJ75OsrdQRERCQWlkEgm+L1DhERERERUdH89hvQvTug0UgdCRER2Rpn1pJoONnTxgICoI2MxMWLFxHYpo3U0RARkRXJwEHU1tjHRGTPUlKAHTuAu3cBPz+poyEiIlvizFqikiIwELqZM5EwcCCE9u2ljoaIiIpIAJenEBGRnqEMAm8yRkRU8jFZSzbFMghERERERERF4+Oj//f2bWnjICIi22OylkTDMghERESFI+MganPsYyKyZ4ZkLWfWEhGVfEzWEpUUWi3w5AkcMjKArCypoyEioiISuDxFEiw/QUT2SKUCFi8GGjWSOhIiIrI1JmvJpnidKaL9+6H08EDX11+HfO5cqaMhIiIiIiIriogA6teXOgoiIrI1JmtJNFxdSEREVDgycBC1NfYxEdm7o0eB/fuljoKIiGxNIXUARGQlnMZMRFSicDm+NNjvRGSvPv8cuHMHaNdO6kiIiMiWOLOWbIr5QyIiIiIioqLz9QVu35Y6CiIisjUma0k0LIMgInY2EVGJIuP7us2xj4nI3vn4AElJUkdBRES2xmQtUUnBacxERCWKwPd1IiLKxtcXSE4GsrKkjoSIiGyJyVqyKV5nEhERERERFV3VqkCLFsDjx1JHQkREtsQbjJFouLrQxrJnxtnZREQligx8X7c19jER2bs2bYDff5c6CiIisjXOrCUiIiKyQwK4PEUK7HcismdaLcsgEBGVdEzWkk2xDAIREREREVnDxYsXMWrUKDRo0AAKhQJ169YtcNu1a9eiVq1acHJyQt26dbF582YbRmobGg2gUgHr10sdCRER2RKTtUQlRdOm0Bw4gMNz50I3ZIjU0RARERERWdXZs2exa9cuVKtWDbVr1y5wuy1btmDo0KHo2bMndu/ejfbt26Nfv36IjY21YbTWp1AA7u5AUpLUkRARkS2xZi2JhmVUbczDA0LLlkh++BDw95c6GiIiKiIh2/IUGQdRmzP0scBlQUR2q1u3bujevTsAYOjQoThx4kSB2k2dOhV9+/bFvHnzAABt27ZFQkICpk2bhrCwMJvFawu+vsDt21JHQUREtsSZtURERERERGT35HLLL18vX76MhIQE9O/f32T7gAEDcPz4cdy7d89a4YnCx4cza4mISjoma8mmODmFiIiIiIikEh8fDwAICgoy2V67dm0IgoCEhAQpwio0Hx/OrCUiKulYBoFEwxWcNpaUBNmhQ/D7+2+gShWgfn2pIyIioiIQkK0MAjiI2hr7mKhkSklJAQC4u7ubbPfw8AAAJCcn59guMzMTmZmZxsepqakAALVaDbVaXeh4DG0Le4xFiwClEihCCC+UovY3FRz7Wjzsa3FZq78taW9xsvbChQsYP348Dh8+DFdXV/Tv3x/z58+Hs7NzgY+xbds29OrVC3Xq1MGZM2csDYGIcvL331D064dgAFonJyZriewQx1AiIiJpPF/721CfOrea4PPmzcPMmTPNtsfGxsLFxaXI8cTFxRX5GFRw7G/xsK/Fw74WV1H7Oy0trcD7WpSsffDgAdq1awd/f39s3boVd+7cQUREBO7fv4/169cX6Bjp6emIiIiAj4+PJS9NxRTLIBAR6XEMJSIiEp9hBm1KSorJ+PngwQOT558XGRmJiIgI4+PU1FRUqlQJYWFhcHNzK3Q8arUacXFxCA0NhVKptLj90aMyLFggxw8/aOHkVOgwXhhF7W8qOPa1eNjX4rJWfxtWaBSERcnaFStWICUlBf/88w/KlSunP4BCgYEDB2LKlClmdYByMm/ePFSuXBlVqlQp8N07qWRgGQQiepFxDCVLCQLLIIjJMLsue/kJIir+DONrfHw8atWqZdx+7tw5yGQyk23ZqVQqqFQqs+1KpdIqyZHCHic9HYiJAVJS5KhcuchhvDCs9XOj/LGvxcO+FldR+9uSthbdYCwmJgYdOnQwXmQCQO/evaFSqRATE5Nv+//++w+LFy/GF198YcnLElFBcBozkV3jGEpERCS+KlWqoFatWti4caPJ9g0bNiA4ONhkXC4ODJODk5KkjYOIiGzHopm18fHxGD58uMk2lUqFwMBA41028/Luu+9i8ODBeOmllyyLkoot5g8lwmnMRHaHYygREVHRpKWlGT/gvHr1KlJTU7FlyxYAQJs2beDl5YURI0Zg7dq10Gg0xnazZs1Cv379EBgYiNDQUGzfvh2xsbHYs2ePJOdRFL6++n9v35Y2Dnvz8CFw5w7g6qrvI7lF09KIiOyLRcnalJQUs7toAvo6P7ndRdNg586dOHLkCC5cuFDg17PXO3BSwQmCAwwTuDUaNe9aakMyjcb4H1qr00HHzrY5vpeIR4o7cFqb2GMowHG0uFNrn/WvTqdjf9uaYPhHYF+LgO8j4rFmX0v987pz5w769u1rss3w+MCBAwgJCYFWq4VWqzXbJy0tDXPnzkVUVBSqVauGjRs3IiwsTLTYrcXLS5+I5Mxa/cSgJUuA1auB7PdcXb0aGDYMyMoCZEm3gOd+H4iI7J1FyVog57tlCoKQ6100ASAjIwPvvfceZs6cadEyE96Bs/hLSWkFoCwAfX87OEgbT0nm8+efaPb0+/8uXsSFAiyrJuvge4l4xLwDpy2IOYYCHEeLu39S/jF+f/78ecQk833dlrLf9IG/2+JhX4vHGn0t9TgaEBBgUs87J9HR0YiOjjbbPmTIEAwZMsRGkYnHwQH47DMgOFjqSKQnkwGXLgH16gGTJgGVKgGPHwPNm+uf39huBQb9Pgpty/lCVrYs0KaNtAETERWQRclaDw8PpKSkmG1/8OBBnjdGWbJkCeRyOfr372+862ZWVhZ0Oh0ePHgAFxcXODo6mrWz1ztwUsEtWPAsOxsaGgonJ/a3rciy/eEaWL06qoWHSxjNi4HvJeKR4g6c1ib2GApwHC3uHp59CFzVf1+zZk2EN+P7ui3NuDUDSNd/z99t2+P7iHis2ddSjqP0zPjxUkcgrWXLAJUKGDECWLo09/1C07cDANzuJQEhIcAXXwDjxokTJBFREViUrA0KCjKrq5eZmYn//vvPrA5fdgkJCbh48SK8vLzMnvPw8MDy5csxatQos+fs9Q6cVHDZJ4s5OrK/bUrx7L+zg1wOB/a1aPheIh4x78BpbWKPoQDH0eJO4aAw+Z59bVvybAUO+bstHva1eKzR1/xZ2YejR/UzSENDpY5EfMuXA2PGAB98kP++vh5ZphvGj4dw6TJki6NY1JaI7JpFydrw8HDMnj0b9+/fR9my+qXt27ZtQ2ZmJsLzmMU3efJkDB061GTb/Pnzcf78eaxZswY1atSwPHIiMuXgAMHFBVqtFjL+IU1kdziGkqXyW+pLREQvpq+/Bv7778VL1m7frk/UvvcesHBhARrkkJCVLfkMyMwAvvqKN2UmIrtl0cdJb7/9Ntzd3dG9e3fs3bsX69atw7hx4zBw4ECTJZwjRoyAItssv1q1aiEkJMTky9fXF66urggJCUH58uWtd0ZkV3idKaLOnaF58AC7Nm6EriAfNRORqDiGEhERkTWULw/cvCl1FOK6fBkYMgTo2RNYvLiAeVadzvitNirbbNrlyyG8/wEvVonIblmUrHV3d8f+/fvh6uqKXr16ISIiAv3798fKlStN9svpDpxE/OCSiF5kHEOpKPK6CR1ZhwzsYyIqHsqXBxITX6xco5MT8OqrwLffWlDBIFsH6d58E1i7FsLT8VT22afAvHk2iJSIqOgsKoMAADVq1MDevXvz3Ce3O3A+vw8REdGLhGMoWULAC3QVbkdYfoKI7F2FCkBWFnD/PlCunNTR2J4gAH5+wP/9n4UNs82shUwGvPEGZBkZwFtv6bdNmQLUrAn07m21WImIrIFVtcmmeL1DRERERERkPVWrAq1aAWlpUkdie4mJQP36wMmThWic/WLUsELlzTeBOXOMm7UDBwF//VW0IImIrMzimbVEhcUVnDb2zz9w+PJLvHTtGmRyOdCtm9QRERGRlXCJvu2x1AQRFRcNGgCHD0sdhTimTQOSkoCAgEI0zp6szV47ITISuvgEyNevg0NmOoRXX4Xs778BH5+ihktEZBWcWUtUUly9Cvm33yIgLg6y06eljoaIiIqIy/GlwfITRFQcqNVAerrUUdjW+fNAdLS+WoGHRyEO8HwZhGzfy1ethKZZS/3DxERgwACA9wwgIjvBZC3ZFK8ziYiIiIiIrKtKFWDhQqmjsK1p0/Q3Uxs1qpAHyG1mLQCoVFD8tFVfDBcA9u+HMGNmIV+IiMi6mKwlKimYGSciKrG4RN/2WGqCiIoTX1/g5k2po7CdR4/0dWqnTwecnAp5kNxm1hr4+AA//ACd3EG/yyezgd27C/liRETWw2QtUUnEi3oiomKPy/GJiCg3FSqU7GRt6dJAfDwwdGgRDpLTDcae17o15PPmGh9q+r8BXLtWhBclIio6JmvJpjjZk4iIiIiIyLrKlwcSE6WOwjbu3NEnah0c9F+Flt/MWoMPPoC2i/7mzIqHydD2fV1fFJiISCJM1pIoZDJmbYmIiAqLS/Rtj6UmiKg4Kckza5csAZo3t8IN1J7OHBKer1f7PLkcDuvWIqtCAADA4fhR4OOPi/jiRESFx2QtUUnBacxERCWKwPd1SbD8BBEVB+PGARcuSB2F9aWlAV9/DYwYATg7F/FgT2fWFuhd3cMDjlt/gKBQ6B8vXAjExBQxACKiwmGylmyK15kS4ewgIiIiIqISq0wZwN1d6iisb8sWICUFGD3aCgczXIzmN7PWoGlTyBYsMD7UDBwM3LhhhUCIiCzDZC2JgrlDIiKiwuMSfdtjqQkiKk4SE4EuXYBTp6SOxLpWrgTatwcCA61wMEtm1hpMmABN+NP6tQ/uQ9uvP6DRWCEYIqKCY7KWqKTw84Oue3ckNmsGoVo1qaMhIqIi4nJ8abDfiag4cHLSr9IvSaUQNBqgfn19iQersHRmLQDIZFCsi0aWX2UAgMOR34Bp06wUEBFRwTBZSzbFMggiatYM2s2b8efkyRB69JA6GiIiIiIishEPD33CNjFR6kisR6EAvvoK6N7dSgcszMxaAPD0hOPWH6CTP61fO28esHevlYIiIsofk7UkEmZtiYiICotL9G2PpSaIqDiRyYAKFYCbN6WOxDrUamDFCn29WqsxzBwqzPt78+aQzZv77PGgQSUrM05Edo3JWiIiIiI7JHB5ChER5aF8+ZKTrN23Dxg1Crh82YoHLUqyFoDsg/chdA7XP7h7FxgwgPVriUgUTNaSTfE6k4iIiIiIyPomTgSGDZM6CuvYsAGoWRNo2NCKBzWUQSjsygm5HLL/W6ufwgwABw8CM2daKTgiotwxWUtUUsTEQFGtGkLfegvylSuljoaIiIiIiGyoWzegQwepoyi69HRg2zagf/9CT4LNWRFn1gIAypUDfvgBOrmD/pBz5gC//GKF4IiIcsdkLYmCZeBEkJYG2bVrcLl7F3j0SOpoiIioiIRs9d5ZT9X2stcFZgkKIvt04cIFdOrUCa6urvD29sa7776L9PT0fNuFhIRAJpOZfSUkJIgQte1cvAh8/XXxX80YE6O/fOnf38oHLurMWoNWrSD75BMAgEwQoHl9IHDrVlGjK74yM/W/fEePArGxwNatwPr1kH33HVTJyVJHR1QiKKQOgEq24v6HAxERERERSe/Bgwdo164d/P39sXXrVty5cwcRERG4f/8+1q9fn2/7li1bIioqymRbQECAjaIVx19/Ae+8o09ylikjdTSF5+sLvP8+UKOGlQ9suBiVF32OmuzDSVDvOwjlvj1Q3L8DzesDodgXCyhKcEolKwv45x/918mT0Px1CrpLl+F4PynH3RUAmivcMWb/a1CUVmLMGKBOHSA+Hrh+HahUCQgIAJydRTwHomKqBL+zEL1gsmfGOQOLiIiIiEqQFStWICUlBf/88w/KlSsHAFAoFBg4cCCmTJmCoKCgPNu7u7ujWbNmYoQqGkMp1Zs3i3eytmVL/ZfVGWbWAijy1ZFcDuWG/4O6bgMo7yRCcegAMGECsHRpUY9sX86eBfbsgTZuH3DwEBwynhifKkjyqIzmAZ6cuohzDi8Z6ylHRwMLFz7bx88PePttYPp04OFD4MABoHZtoGrVkp37JrIE/yuQKJg7JCIiskz2pfiyol9mUj6yl5rIXoKCiOxDTEwMOnToYEzUAkDv3r0xfPhwxMTE5JusLYnKl9f/e/OmPtlVHB07po+/Z08bXDNacWYtAMDLC8otPwDt2gEaDfDll0D16sD48dY5vlTOnQM2bYLm+01Q/C8eAOCQy67qcn5AgD8UVStD5usLuLkBpUsDH35o3Cd6tRrKxs/azJgBjBoFXLsGXL6s/6pbV//c33/rf/YA4Oion10dHAx8+61+28WLQMWKgJOTdU+ZyN4xWUs2xTIIRERERERUVPHx8Rg+fLjJNpVKhcDAQMTHx+fb/uDBg3B1dYVWq0XTpk0xe/ZstG7d2lbhisIws/b6dWnjKIrPP9cvk+/VywYHzzaz1mpeeQX45hvg6e+i8N57kAUEAK++as1Xsb0nT4ANG6BZtgKKkycAmCeH1OV8oQhtB1mzpkDDhsBLL0Hp5pbz8a5cAZYv13//tN8NnJ2BKlX0X23amDYLCdGX/z137tmXIYeg0wH16+tL5FapAtSqBQQFAR98APj46Ks0ODoWqRfshloNpKTofyyGL7kcaNJE/3xsLPD4sX4/tRrIzJRBoVAB0H/gcfq0/sMOw1etWkCLFkByMvDzz/pjKRSAUgmoVEDXrvrj/vUXkJGh3274qlxZn4N/9Egfh1L5rK2jI2c/i4XdTFRSsAwCEREREZVQKSkpcHd3N9vu4eGB5HxuatSmTRsMHjwY1atXR2JiIqKiotChQwccPHgQzZs3z7FNZmYmMjMzjY9TU1MBAGq1Gmq1utDnYWhblGMYyOVA164OcHXVQa0ufrNksrKAXbsUePddHdRqXf4NLKQQBP26FLncKv1t9MYbkF+4AIf58/U3HHutP7BnFwSb1HKwsvh4yJcth7DueyjSUs0TtE1bQt63J3QdOgBBQdA8f12ZSz/K8Ww2rjYrK9f9clK2rD4H/sorpi+j1QK7d8uQkACcPy9DQoIMP/4ow3vvaaBWA/37O+DAARkqVwYqVRLg7y+gb18BLVoISE4Gbt/WH9vT0/oJRkEA0tOB1FR9rJUq6bf/9JMMDx8CqamGf4EPPtDB2xuIipJjxw4ZHj+WGROyo0fr8NFHOuzbJ0PnzqZBVq4s4OJFDQBgyBAFkpKy/ywUmDPHFWq1Gps2yfHpp6Zzod98U4smTXS4dAkYMkRp8pyLi4AHD54d9+xZ05/xxo0a9Owp4Msv5fjoI9Pjdu+uw+bNWiQmAtWrK+DgAOOXXA5cuaKBiwswYIADjh2TmTw3Y4YWffsK2LlThlmzHIzpC0EAGjYUsGqVFmo1EBysMG432L1bAz8/YOJEOfbskRufFwRg/Hgd3n5bh/37ZXj7bf1xdTr9c1WrCti3TwsAqF1bgZQUmDwfG6tBw4bApElyrFghh0737LkxY3RYtEiHY8dkmDFDjnHjiv6+bUl7JmtJJMXvjwciIiIpZV+KL+OHcDaXvdSEwKVBRHYpp/dCQRDyfY+cOXOmyeOuXbuiTp06mD17NmJiYnJsM2/ePLN2ABAbGwsXFxcLos5ZXFxckY8BAG++qf83l9Owa//844XU1Bbw9DyEmJhUqx8/9MkTGH5S1upvo+BgNGr5Cir9fhiKzDRkduqCY7NnIMXqd0mzDo/z51F961b4HT9u9tz9yoFIDA1BYosWyChbVr/xyhX9VwHVvX4dgU+/P3b0KB7cv1/kmA18ffVfhlm5J/QTgVGvnhdcXd1x964zEhNdcPq0M5TK/+HBgxvYt68yli5taDxGqVJZeOmlu5g48QS0WhmmTWsBR0ctHB11kMn0Y/7o0f/AzU2NH3+shoQET6jVcmRlOSArywGdO19Gu3bXceKEDz77rBEyMhTQavVJw4CAh1iy5FcAwKBBXZCZqYBKpYGLiwYuLmpUr34cFSo8xo0b/nBx8YSnpwbOzhqoVFooFPcRE3MfDx86IjLSE05OWqhUGuO/MTFpAIAFCxwhkwlQKAQ4OOigUAiQywXExcWhdWvAsEjAkMAE9O8JggBs3iyDTieDTieHRiODVitDTEwWAGD8eGdkZSmebtc/n5n5GDExanh6umDKlNLQauXQamXQaGQoWzYDMTH3kZ7ugGHDKj097rOvffv+g4ODAD+/SmjWzBU6nQyCIINOB9y4cQsxMSn43/88UL68Prtt6HuF4gliYi5BqwWqVKlr8vOXyYBDh86jdGk1gEqoWdPNODdNJhOQnHwHMTH3cONGKQQHVwQAyOX645Ypk4WYmMsAgFdeCYRGI4dMJjydgSzg3LkbuHUrE2XLlsXAgWUACJDL9c/5+KQiJiYZDx44okULdwBFfx9JS0sr8L5M1pJN8VpHIryoJyIiIqISxMPDAykpKWbbHzx4YHG9WldXV3Tp0gVbtmzJdZ/IyEhEREQYH6empqJSpUoICwuDW25LwQtArVYjLi4OoaGhUCqV+TfI93j65dPe3kU+lOj27JEjIEDA6NGtbHL5onha6FSQy63W3yZCQ6Hu2QfKX/ZClZmGVz6ZA+3ePRBeftm6r1NYggDZnj3Awigofj9s8pRG5QLZgH4Q3noLbi+/DDeZDLWK8FLy/fuN3zdt3BgOrVoV4WgFEx6e09b6AOqjaVOgd28N7t0D7t8H7t1zQLlyPggPD0dmJrBliwPS0/UlAHQ6/eVz+/ah8PICTp+W4+5dGVQqwMVFX8YhLKw+wsLqoXp1wMVFjtKlBZQurUGZMoC3tyuaNNEHc+2agFKl1ND/qjk8/WqdR7zVCnXu1n4fKYzevXPaqv+wIudzDTA+l+2tNRv9b2C3bjk9Vznf4wLAyJE5PR+UR9uaeTz3jLX627BCoyCYrCUiIiIiIiK7FhQUZFabNjMzE//9959ZLduCyG8GvUqlgkqlMtuuVCqtkhyx1nE+/FA/gy4hociHEl3TpkC9eoCjo42STdlqp1qrv00olcCObdB06gLFoQOQpT6EIjQU2LYN6NDBuq9lCY0G2LQJ2rkL4HD2tOlz5csDERFQvPkmUKaM9V4zW98q5HIoJEogGhhm4+ZEqQS+/z6nZ/QzZadOzf252rXzvpmf2B+a2OT3mnJV1P62pK2VbotIlDdO9BTByy9Ds2wZ/nnnHejatpU6GiIisqLsS/TJNlhqgsi+hYeHY9++fbifbXn1tm3bkJmZifD8pkU958mTJ9i1axeaGO7eU4xVqqS/wVhxXNE4dCgwerQNX+Bppwi2fH93doYiZuezgquPH0PXORxYt852r5mbjAxg+XIINWoAAweaJGozq9QEvv0WuHQJeP996yZqAX1RUgOd9esPE71omKwlmyqOfzQUW4GBEN58E1c7dtTfNpOIiIo11k2VjsBa+0R25+2334a7uzu6d++OvXv3Yt26dRg3bhwGDhxoUgZhxIgRUGS7m9Dhw4fRvXt3REdH48CBA/juu+/wyiuvICkpCdOmTZPiVKyqUiUgLU1/1/fiZM8eIIfyqdZlGEdt/WGcqyuwdy+03boDAOQaNTB4MITRY4BsN6mzmdRUYOFCaCpXAUaPhuzyZeNTWY2aAtu2QXXxHDB8OJDDbHGryJ6s1Wpt8xpELxAma4mIiIiIiMiuubu7Y//+/XB1dUWvXr0QERGB/v37Y+XKlSb7abVaaLMli/z8/JCZmYnIyEh07NgRY8eOhZ+fHw4fPozg4GCxT8PqKutLOeLaNWnjsFRkJPDFFzZ+kaczPG06s9bA2RkOP26B8PYo4ybZ8mVQN2kOnDxpm9e8ehXCh5OhqeAPfPghFHeTjE8JHTsCBw7A8cRRoEcP02SqLTg4PPueM2uJiow1a0kUXFlIRERUeFyib3ssNUFk/2rUqIG9e/fmuU90dDSio6ONj6tVq4Y9e/bYODLpVNLfVB03bwING0obS0HdugX88w/wwQc2fiGxZtYaKBSQfb0cCG4C7Ttj4JCVAeW/J4HGjYHx44GPPgK8vIr2GlotsH8/8NVXEHbuhEynMyZ1BJkMuh694TBlMmRi3+SMZRCIrIoza8mmuIJTRKmpQEICSt24UfzWQRERkRkuxZcOS1AQUXHh6ws8eAB07Sp1JAUXG6vPn4aF2fiFxJxZm93w4XA4dhSamnWexbFkCbSVAyBMiLD8bnBaLfDHH8CECVCXr6zvuO3bIXt6fjqFEsLQYZDFx8Phx82A2IlagGUQiKyMM2uJSoqYGCj790d7ANrMTCAiQuqIiIiIiIjIhmQy698rytb27NFPNi3qJNN8GT54s3UJgJw0aADF6b+BqCgIs2dDlpEBh4w0YMlnwJLPoK7bAMpOHYDgYKBGDaBcOcDZWX+TsORk4PJl4OxZ6I4eg+7Ar1A8egAAyH4veaFCBchGjYL8rbcAHx/xzzE7lkEgsioma0kknKFCRERUWFyib3ssNUFExVVkpD4vOX++1JEUTL16QEiICC8kddLQ0RH46CPIhgyBsGAhdCu+gUNWBgBAeeYf4Mw/+R5CDtPl0DoHJYTOneEwdDBkr74KKJW5NRUXZ9YSWRWTtWRTXEUoInY2EVGJwqX40mEJCiIqTm7eBC5dkjqKgvvoI5Fe6Ok4Kkgxsza7ChUg++JzOHw8Bfj+e2ii10Nx6q8CN1eXKQuH9m0hD+8Eea9egIeHDYMtJNasJbIqJmuJSiLODiIiIiIieiFUqgQcPCh1FAXzxx/6XGPNmiK8mL0lDb29gffeg+K994B794DDh4Fz54CLFyGkPgKePIHMSQV4egJ+fkCdOkC9elDWqSNNKQdLsAwCkVUxWUuiYO5QBJyBRURUYnGJvu2x1AQRFVeVKuln12q1pjkze/Tee0DlysCmTSK8mL3MrM1JuXJAz576L6D4j0Asg0BkVXb4rkVERcaLeiKiYo9L8aXDEhREVJxUrqzPj926JXUkebt/Hzh+HOjcWaQX5AxP8bAMApFVMVlLNsVrHSIiIiIiItt5+WXg++8BNzepI8lbbKz++rBjR5Fe0J5n1pY0LINAZFUsg0Ci4ERPETAzTkREVGgsNUFExZWPD9C/v9RR5C82FqhXDyhfXqQXZNJQPCyDQGRV/IiJqCTiBScRUbHHpfjSYQkKIipu1qyx/5uMiZ5UNsys5bWR7XFmLZFVcWYt2RSvM4mIiIiIiGzrs8+AVq2ANm2kjiR38+eL/IKGi1Ema22PNWuJrIrJWqKSont3qP/3Pxw4cABte/WCnd8IloiILMAl+rYnK/734iaiF1iVKsCVK1JHkbv//gNKlwa8vUV8UUPSkGOo7TFZS2RVLINAVFKUKgX4+yPd29v+7y5ARET54lJ86bAEBREVN1WqAJcvSx1F7iIjgR49RH5R3mBMPCyDQGRVfNcim+K1DhERERERkW0FBOhn1trj9ZdOB+zfD7RvL8ELkzh4gzEiq2KylkQhk9nhXw1ERETFBJfo2x5LTRBRcda4MdCrF5CWJnUk5v79F7h/H2jXTsQXzZa15sxaEWTrYxmT5ERFZvG71oULF9CpUye4urrC29sb7777LtLT0/Nsk5qaihkzZqBp06Zwd3eHl5cXOnXqhL///rvQgRPRc+LjIV+6FFV37gROn5Y6GiLKAcdQsgSX4kuHJSiIqLhp1Qr47jvA1VXqSMzt2wc4OQHNm4v4ohxDxcUyCERWZVGy9sGDB2jXrh0ePXqErVu3IioqCt999x3eeuutPNtdu3YNK1asQIcOHbBx40asWbMGWq0WLVq04MVmCccxUkQnTsDh/fdR79tvIT9yROpoiOg5HEOJiIjIlq5eBe7ckToKc6mpQKdO+oStaDizVlwsg0BkVQpLdl6xYgVSUlLwzz//oFy5cvoDKBQYOHAgpkyZgqCgoBzbValSBf/99x9cXFyM2zp06ICqVati6dKlWLNmTRFOgYoDriwkohcdx1AqCi7Rtz2WmiCi4u7ll4EJE4ApU6SOxNSMGRK8KGd3iit7spZ9T1RkFn3EFBMTgw4dOhgvMgGgd+/eUKlUiImJybWdq6uryUUmADg5OSEoKAiJiYkWhkxEOeI0ZiK7xjGULMWl+NJhCQoiKo6qVAEuX5Y6ClMPHwIZGRK8MGfWiotlEIisyqJ3rfj4eLOZPyqVCoGBgYiPj7fohZ88eYKTJ0/mOpOISgZe60iEM7CI7A7HUCIiIrIle0zWfvGFPi7RrwuZMBQXyyAQWZVFZRBSUlLg7u5utt3DwwPJyckWvfDHH3+MtLQ0jB07Ntd9MjMzkZmZaXycmpoKAFCr1VCr1Ra9XnaGtkU5BhWMICiAp8sK2d+2JdNojP+htVotdOxvm+N7iXis1ddS/qzEHkMBjqPFnTbbxY5Wo2V/21j22bRF/T9C+eP7iHis2df8edm3KlWAEyekjsLUvn1AcLAEc0k4s1ZcLINAZFUWJWuBnGumCYJgUS2177//HkuWLMFXX32FatWq5brfvHnzMHPmTLPtsbGxZktCCyMuLq7Ix6C8PXnSDkBpAOxvW6t0+jQaPf0+Pj4eV/JYVk3Wxd9t8RS1r9PS0qwUSeGIOYYCHEeLuzN3zxi/P3vmLGIS+b5uS/fv3Td+v2//Pjg7OEsYzYuD7yPisUZfSz2OUt4CAoBHj/S5MnvIT6alAUePAosWSfDiTBiKi2UQiKzKomSth4cHUlJSzLY/ePCgwEsx4+LiMGzYMEycOBGjR4/Oc9/IyEhEREQYH6empqJSpUoICwuDm5ubJaGbUKvViIuLQ2hoKJRKZaGPQ/lzcXn2K8b+ti3ZvXvG74OCglA7PFzCaF4MfC8Rj7X62jCzVApij6EAx9Hi7vKf/9/evcdFVa59A/8NAwyCcVBOHtE0Ea08bCVPoZhgkmdDU9/ULLPenfZEaUdt52Fru+xgts162mLFo1ZKmqHgA1pu87wFt4K6X4Q8hGAIDggMM8x6/xgZGQecGZi11hx+38+Hj849617r4gbmYi7udd8FwBXD/+9/4H4k9OHrupg++Z9PgErD/0eOHIkgvyB5A3JxfB2Rjj3HWs48CgDnz5/HwoULceDAAfj5+WH69OlYvXo1WrWy/MeVTZs2YdWqVSgsLET37t3x9ttvIzExUYKopTN/PvD883JHcdvBg0BtLfDIIzJcvOG6C1wiTnxcBoHIrmwq1kZFRZmtq6fRaJCfn4+5c+da7H/06FFMnjwZiYmJePfddy0er1KpoFKpzNq9vLzs8kudvc5DTWuYFzneIvO8/eOs9PSEkmMtGX5vS6elYy3n10nqHAowjzo7ZYNZKkqlkmMtMoXH7V9a+L0tHY61dOwx1nJ+rcrLyzFy5EhERERg27ZtKCkpQVJSEkpLS/HNN9/cte/333+POXPm4LXXXkN8fDx++OEHTJs2DQEBAYiPj5foMxCfI8ymbSg3F2jfHujVS4aLN1wGgcVa8XFmLZFd2fRynpCQgMzMTJSW3r5NLDU1FRqNBgkWZvHl5eUhISEBQ4cOxcaNG2265ZOcn0LBncaIyL0xh5KtBNzOnfyai0+B22MscIdUIoezYcMGlJWVYceOHXj00Ucxa9YsrF27FikpKRY36lyyZAkSExOxatUqxMbG4uOPP0ZcXByWLl0qUfTSqKsD+vYFvv5a7kgMXnwRyM+XaWJrw4Ihc6j4OLOWyK5sKtbOnz8fgYGBmDBhAtLT0/H1119jwYIFmDlzpsktnE8//TQ8G8zyKykpwejRo+Hl5YVFixbhxIkTOHz4MA4fPoyTJ0/a77Mhh8P3OhLy94fQowcqOnSAEBAgdzREdAfmUCIiouZLS0vDqFGjEBwcbGybMmUKVCoV0u6yV0NBQQHOnj2L6dOnm7TPmDEDR48exR8NlhJzdkolUF4OnDkjdySGep0gAD4+MgXADcakxQ3GiOzKpmUQAgMDkZWVhQULFmDy5Mnw9fXF9OnTzW7HrKurM9nBODc3F5cuXQIAjBo1yuTYiIgIFBYWNjN8IjKaNAm6sWORlZZmcZYeEUmPOZSIiKj58vLyzJYNUqlU6Nat211n1tY/d+f68L169YIgCDh79iyGDRtm/4Blct99wH/+I3cUwK5dwLPPGpZCaNtWhgBYMJQWl0EgsiubirUA0KNHD6Snp9/1mOTkZCQnJxsfjxgxgreTuTneeUJExBxKtmn4dW94iz6Jo+FSEw2XoCAix1BWVobAwECz9qCgIFy/fv2u/QCY9Q0KMmwi2FRfjUYDjUZjfFy/uZpWq4VWq7Ul9Ntyc6FMSEC8RgOlSiXKWqrflgO1GkDoaPdT2ySmHMiuAdr0gTyvqHq9MXMKHh7N/5qRVRR6vbG45LFuHQRHWYvDRSkFQdTXETJVP966I0eAzp2bfR5bXodsLtYS2YL1BSIiIiIisofG1u8WBMGqdb3vPKb+D2JN9V21ahXeeecds/aMjAz4+vpaE64Z/4ICxP7+O1o1q7d1gur/c0XEi1jBUeIAAF2rVti7d6/cYbi0gPx8jLj1f0VlJVBZKWc4Lk8BiPo6Qqbqxzt93z7UhIQ0+zxVVVVWH8tiLRGRBXV1dY3+FUyr1cLT0xM1NTUmt62T/Vkz1p6enlAqldyIiYiIyAUFBQUZZ8k2VF5ebrbEwZ39AMMM27CwMJN+DZ+/0+uvv46kpCTjY7VajU6dOiE+Ph7+/v7N+RSA3FzoO3SApqYGKh8fUX5nqdMZ1ov19gbkuimjrg4oKgLatAGaWde2G31YGPLHj0dcXBy8vLzkDcaVCQK0ubnQ7tgBH5WKv4+LTBAEUV9HyFT9eMfExsKzBTNr6+/QsAaLtSQJvn5IICMDyg8/xKCSEiiUSmDsWLkjcnqCIODq1avGX+Ybez48PByXLl1ikhSZtWOtVCoRGhqKgIAAfk3IpXAZBPFxjIkcW1RUlNnatBqNBvn5+WZr2d7ZDzCsXduzZ09je25uLhQKhUlbQyqVCiqVyqzdy8ur+UW/Pn2gLShAxq09JsQoHnpC/jf5O7cDU6YAv58G/NrJG4teq0V5WlrLvm5kFe369dg7bpxo39t0m06rFfV1hEwZx7tz5xaNty195X4dJxfHZRAkdPkyPPbsQRgA3eXLckfjEuoLtaGhofD19TUr/un1elRWVqJ169bw4C6zorI01oIgQKfTQa1Wo6ioCNXV1WjXTuZ3B0QtxHVT5cN1ookcT0JCApYvX47S0lK0vbVjVWpqKjQazV031+3atSt69uyJrVu3YtKkScb2zZs3Izo6GsHBwaLHLrW33gKGDwfi4uS5/qRJQEEBwF/FiIiah8VaIqJG1NXVGQu1bZvYwlav16O2thY+Pj4s1orM2rG+5557oFKp8McffyA0NBTKhjvTEhERkdOaP38+PvnkE0yYMAFLlixBSUkJkpKSMHPmTJNlEJ5++mls2rQJOp3O2LZs2TJMmzYN3bp1Q1xcHHbs2IGMjAzs2bNHjk9FdJs3AxqNfMVahQLo0kWeaxMRuQJWF0ginKEiOs4Csqv6NWqbu4EEycfPzw+CIHDXX3IpXNZDfBxjIscWGBiIrKws+Pn5YfLkyUhKSsL06dPxxRdfmBxXV1dntr59YmIiNm7ciO+//x6jR49GRkYGtm7divj4eCk/Bcncdx/wn//Ic+1Ll4AHHgBycuS5PhGRK+DMWhIV64cy4RtOu+Gbd+fDrxm5Ct6KLx8uQUHkmHr06IH09PS7HpOcnIzk5GSz9tmzZ2P27NkiReZY7rsPyMqS59r79gGnTwMdO8pzfSIiV8CZtUREREREREQu4r77gPx8QK+X/tpZWUDfvkATq4gREZEVWKwlSXCiGxERUfMpwEQqNo4xEbmKhx8GXn7ZsG6tlATBUKwdOVLa6xIRuRoug0Ci4h2cEuJgExG5FN6KLx8uQUFEzqxfP8OH1PLzDWvWslhLRNQynFlL5Io4lZmaaeDAgVi7dq1JW2FhIf7yl7+gvLzc2LZixQrEybXFMBERERHd1eHDwKlT0l4zIgI4eBAYPlza6xIRuRoWa0kSrB0SOb7t27fjt99+w7x580za9+7di9WrV6N169bGthdeeAFHjhxBlly7VxC5GW6cJz6OMRG5khdeAD7+WNprenkBQ4YADX5lJCKiZmCxlkTFuwgl1Ls36l54AfljxwJRUXJHQ07oo48+wowZM9CqVSuT9pycHERFRcHT8/bKOYGBgZg0aRI+lvpdAJEb4a348uESFETk7Hr3Bs6cke56ggBMngzs3y/dNYmIXBWLtUSuYvBg6D/4AKefeQbCoEFyR0MOKDs7G5MmTUJISAh8fHzQpUsXrF69GgBw4cIFHDhwAI8//rhJn/bt2+PTTz9FdnY2FAoFFAoFkpOTAQCJiYlIS0vDtWvXpP5UiIiIiOguevUCcnOlmzxz5gyQmgrodNJcj4jIlXGDMZIIZ6gQyeny5cuIiYnBjBkzkJKSApVKhStXriAsLAwAkJmZCS8vLwwcONCkX2pqKuLi4jB37lw88cQTAICoWzO3hw4dCp1Oh/379yMxMVHaT4jIzSjAW/TFxjEmIlfSuzdQUQFcvgx06iT+9fbtA7y9DcsgEBFRy7BYS6LiHZzkagYMAK5erX+kgCD4S77OYXg4cPy4bX0yMzNx8+ZNzJ49G/3794eXlxc8PG7fXHH8+HH06NEDKpXKpF9ERAQqKiowZswYDLpjxnZQUBA6d+6MI0eOsFhLJALeii8fLkFBRM6ud2+gTx+grEyaYm1mJjBoEODrK/61iIhcHYu1REQ2uHoVuHKl/pHi1ofji4mJQWhoKIbcmu4wbdo0bNmyxfh8UVERQkJCzPrl5OQAAPr06dPoeYODg3H1dvWaiIiIiBxA165AdrY019JqgawsYPFiaa5HROTqWKwlSXCDZQl8/jk8n38e4wHUff458PTTckfkksLDGz4SIAjCrZm10n2Tm8ZgnZqaGkyZMgXR0dGIjIxEhw4dzJ6/c1YtYCjWhoaGIryJi/r4+KC6utr2gIjIJlLP4HdHHGMicjWCYFgKwd9f/Gt99RXwwAPiX4eIyB2wWEui4l2EEhIEKPR6uaNweQ2XH9DrBajVavj7+8PDw3Hf5JeWliI2Nha7du3CgAEDGj2mTZs2KCwsNGvPzs5uclYtAJSVlaF37972CpWIGuCt+PLhEhRE5Aqefdaw8devv4p7HS8vYOJEca9BROROPCwfQkREziwrKwvFxcWIjIxs8pjIyEgUFBSYtZ8/f964odid9Ho9Ll68eNfzEhEREZE8unUzFGvF/tvfW28ZNhgjIiL7YLGWJME7CyXAGVjUhPq1aKdOnYqffvoJmZmZWLduHdasWWM8ZujQoSgpKcHly5dN+gYGBuLXX3/F/v37cfjwYdTW1hqfy83Nxc2bN/Hwww9L84kQuTGFk6yP7cw4xkTkavr0AdRqoJGbp+zm+nVg1SrgwgXxrkFE5G5YrCVRsX5IJL8RI0Zg/fr1uHTpEqZOnYpJkyYhJSUFvXr1MjkmODgYu3fvNum7cuVKaDQaxMfHIyYmxuS5tLQ0REREYODAgZJ8HkTuhrfiy4dLUBCRK+jXz/Dvv/4l3jWysgC9HoiLE+8aRETuhsVaIiI38Nxzz+H06dO4efMm1Go1Dh06hDFjxhif9/b2xqxZs7B582aTfg899BBOnTqF2tpa1NbWwtvb2/jcli1bMHfuXG7KQ0REROSAwsMNH6dPi3eNjAygZ0+gc2fxrkFE5G64wRiRq+AsIGqhRYsWoVu3bjh58iT61U/FaMLPP/+MwsJCLFy4UKLoiNwb/ygiPo4xEbmiU6eA4GBxzi0IhmLthAninJ+IyF2xWEuiYv1QJnzDSc0QHh6O5ORkXLt2zeKxarUaX331FQIDA8UPjMhN8VZ8+XAJCiJyFbe2LhCFXg+88QbQv7941yAickcs1hIRkVFiYqJVx40bN07kSIiIiIiopU6cAObOBdLTDUsi2JNSCTz7rH3PSUREXLOWiIiIiIiIyCW1aWNYCuHkSfuf+6OPgKNH7X9eIiJ3x2ItSUKh4O2EoktIgG7HDhx66y0IsbFyR0NERC3U8FZ8Bbi8jdgajjGXoCAiV9GlCxAUBBw7Zt/z3rgBLFpk//MSERGXQSCR8b2OhCIiILRvjxJBADp2lDsaIiIiIiKSmUIBDBoEHDpk3/OmpwM6HTB2rH3PS0REnFlLRERERERE5LIGDwYOHzZsCGYvu3YBDz4IRETY75xERGTAYi1JQsG7N4mIiGzS8FZ8BROp6BqOccMlKIjIcaSlpaFfv37w8fFB9+7d8fe//92qfgqFwuwj3N67bTmwJ58EfvrJfuerqwPS0jirlohILFwGgUTFZRAkdOkSFGfOICQnB+jXD+jcWe6IiIiIiIjs4tChQ5gwYQJmzZqFDz74AAcPHsSCBQvg7e2NZ555xmL/BQsWYMaMGcbH3t7eYobrULp0MXzYi0YDvPQSMG6c/c5JRES3sVhL5Cp27oTnCy9gCABd587AnDlyR0REREREZBfLli1D//798eWXXwIAYmNjcfHiRSxduhRz586Fh8fdbxrt3LkzBg0aJEWoDumLL4DKSkORtaV8fYE332z5eYiIqHFcBoGIiIjIATW8FV8BLoMgtoZjzGUQiByLRqNBVlYWnnjiCZP2mTNnoqioCCdPnpQpMudx8iSwYUPLzyMIwKpVQGFhy89FRESNY7GWRMVlECTEwSYiIiIiF5Sfn4/a2lpERUWZtPfq1QsAkJeXZ/Ecq1evhpeXFwIDAzFt2jRcvHhRlFgdVUwMcO4c8PvvLTvPkSPAG2+wWEtEJCYug0DkirgRDRERERG5iLKyMgBAYGCgSXtQUBAA4Pr163ftP2vWLIwdOxZhYWE4ffo0li9fjmHDhiEnJ8d4jjtpNBpoNBrjY7VaDQDQarXQarXN/VSMfVtyjuYYPhxQKDyxe3cdZs1q/iSPLVs8EB7ugUGDdJD4U2gWucbbHXGspcOxlpa9xtuW/izWkiQUCs76FB1n1pIdDBw4EE8++SQWLlxobCssLERycjL+67/+y+xNUkt99913SElJwYkTJ3D9+nV069YNzz//PObPn2+y9tzKlSuRlZWFzMxMu16fyFko+Ec40XGMiaR148YNFBUVWTyua9euxv839XNq6ed306ZNxv/HxMRg2LBh6N+/P7744gssXry40T6rVq3CO++8Y9aekZEBX19fi3Fbsnfv3hafw1Zduw7H119XIDj4X83qr9cD33wTj4ceKkJ6+r/tHJ245Bhvd8Wxlg7HWlotHe+qqiqrj2WxlkTF+qFM+IaTmmH79u347bffMG/ePJP2vXv3YvXq1Xjrrbfsfs01a9YgIiIC7733HsLCwrBv3z4sXLgQFy5cwHvvvWc87s9//jPee+89ZGVlYdSoUXaPg8gRCUyisuHYE4kvNTUVTz31lMXjTp48aZz9Wj/Dtl7946ZmxzblwQcfRGRkJE6cONHkMa+//jqSkpKMj9VqNTp16oT4+Hj4+/vbdL2GtFot9u7di7i4OHh5eTX7PM2h1yvQqlVrPPJIQrP6HzyoQGmpJ155pTOGDetk5+jEIed4uxuOtXQ41tKy13jX36FhDRZriYgIAPDRRx9hxowZaNWqlUl7Tk4OoqKi4Olp/5Tx448/IiQkxPg4NjYWlZWVWLduHVasWAGVSgXAcNvjY489hrVr17JYS0RE5ALmzJmDOXPmWHWsRqOBt7c38vLy8Oijjxrbc3NzAcBsLVtrWPqjjEqlMv4e0pCXl5ddiiP2Oo8tJk1qWf+OHYFXXwWGD/eEh5PtfiPHeLsrjrV0ONbSaul429LXyV5iyVlxoqcEOAuILMjOzsakSZMQEhICHx8fdOnSBatXrwYAXLhwAQcOHMDjjz9u0qd9+/b49NNPkZ2dDYVCAYVCgeTkZLvF1LBQW69fv36oqakxW39uwoQJ2L17N65du2a36xM5CwWYSMXGMSZyXCqVCiNHjsS3335r0r5582a0a9cO/fr1s+l82dnZOH/+PAYOHGjPMJ3C//wP8N13zevbvTuwejWcrlBLRORsOLOWRMX6oUxYHac7XL58GTExMZgxYwZSUlKgUqlw5coVhIWFAQAyMzPh5eVl9qYlNTUVcXFxmDt3Lp544gkAzZu9YosDBw6gTZs2CA0NNWkfNGgQdDod9u/fj8TERFFjIHIEAphE5cKxJ3I8S5cuRUxMDObNm4eZM2fi4MGD+OKLL7BhwwaTde67d++OiIgI4zr377//Pi5cuIDhw4cjNDQUp0+fxsqVK9GpUyc888wzcn06svnhB+DCBcDWX6V27QIuXQKee45vNYiIxMZiLRGRrT74APjgAygA+AtC05ta9O8P7Nxp2jZ+PPAvKzZ1SEoyfNSrqACioszbrZSZmYmbN29i9uzZ6N+/P7y8vEze2Bw/fhw9evQwu90vIiICFRUVGDNmDAYNGmTzdW11/PhxbNy4EW+//TaUSqXJc4GBgejcuTOOHDnCYi0REZGbGTx4MHbs2IE33ngDX331FTp27Ii1a9eaFVx1Oh3q6uqMjyMjI7Ft2zZs2bIFFRUVCAkJwWOPPYYVK1bYfeNUZ/D448C0aUBBAdBg7zaLVq4E7rkHeP558WIjIiIDFmuJXMULL0D77LNIS0tDwmOPyR2Na1OrgStXoADuftNsp0Y2Xrh2DbhyxbprNCQIhn42LEreUExMDEJDQzFkyBAAwLRp07Blyxbj80VFRY0uSZCTkwMA6NOnT5PntmU358bWfqt39epVTJkyBdHR0Xj11VcbPSY4OBhXr161eC0iV2Npp3NqOY4xkeNLSEhAQsLdN8cqLCw0eTxu3DiMGzdOxKicS0IC4OMDbN0KvPaadX1+/RU4fNh8DgIREYmDxVoSFZdBkJCHB6BUGj64kJS4/P2BDh0gwLA5hULRxEqHjRQ/ERICdOhg3TUaUigM/Zq5+3BNTY2xEBoZGYkOd8RQU1PTaCE1JycHoaGhCA8Pb/Lctuzm3Ldv30afu3HjBsaMGQNfX1/s3LmzycXXfXx8UF1dbfFaRK7A0uY3JB6OPRG5qtatDbNrv/wSWLzYurcNa9YAkZEA54MQEUmDxVoiIlvdWopA0OuhVqvh7+8PhbUF8uZOSbjnHuDy5WZ1LS0tRWxsLHbt2oUBAwY0ekybNm3MZqIAhg047jarFrBtN+fG1NTUYPz48SguLsahQ4fQtm3bJo8tKytD7969m30tIiIiIneXlAScPg3o9ZaLtRcuAKmpwGefcT4IEZFUbH65PX/+PB599FH4+fkhNDQUL774otWznDZt2oSePXvCx8cH999/P75r7jaU5HQUCs5QIZJLVlYWiouLERkZ2eQxkZGRKCgoMGs/f/68qBuK6XQ6TJ06FTk5OdizZw8iIiKaPFav1+PixYt3/TwcHXMoNVcT8/fJjjjGROQu+vUDnnwS8LRi6laXLoYlE558UvSwiIjoFpuKteXl5Rg5ciQqKiqwbds2vP/++0hJScG8efMs9v3+++8xZ84cTJo0Cbt378YjjzyCadOmISMjo9nBk+PjXYQSOnAAHq+9hl7JyUB2ttzRkAOpX4t26tSp+Omnn5CZmYl169ZhzZo1xmOGDh2KkpISXL5j9m5gYCB+/fVX7N+/H4cPH0Ztba1dY/vzn/+MH3/8EW+++Saqqqpw+PBh44f6jvV5z549i5s3b+Lhhx+2awxSYQ4lWwlgEpULx56IXF1ZGTB1KnDsWNPHqNWG2bSJiUCrVtLFRkTk7mxaBmHDhg0oKytDdnY2goODDSfw9MTMmTPx5ptv3nX21ZIlS5CYmIhVq1YBAGJjY3H27FksXboU8fHxLfgUiAgAcOIElB98gPsA6B5/HBg4UO6IyEGMGDEC69evx7p16zB16lQolUr07t0bS5cuNTkmODgYu3fvNikerly5EvPmzTO+TldWVto1tvT0dADA4sWLzZ7bt28fRowYYXy8d+9eREREYKCTfm8zhxIREZGj8PcHTp0CXn4Z2L/ffImD6mogOhqYPRt4/XVZQiQicls2zaxNS0vDqFGjjG8yAWDKlClQqVRIS0trsl9BQQHOnj2L6dOnm7TPmDEDR48exR9//GFj2ORsuMEykbyee+45nD59Gjdv3oRarcahQ4cwZswY4/Pe3t6YNWsWNm/ebNLvoYcewqlTp1BbW4va2lp4e3vbNa7CwkIIgtDoR8NCLQBs374dTz31lNPu2M4cSi3hrN/3zoRjTETuRKkE1q8HDhwAPvzQ9Dm9Hnj2WaCwEJg4UY7oiIjcm00za/Py8jB37lyTNpVKhW7duiEvL++u/QCYzRrq1asXBEHA2bNnMWzYMFtCaba6OuDllz3Q+Z8XcPDtVyz+Yn45tD+ORc0yaRtzaAl8aissXutE5AxcDI82Pg6ovIKRJ96zKs60QcugUd3e9f2+i5m4v+BHi/1u+LVH1gDTGWrDcj5FSPl/LPY932kkztw73vhYoa/DxAMvWxXvPx/8v7gW1MP4OLz0DAaf/gJLSgEdAN8KLTxeVpr/ydbDA/jgA9O2bdsMvzVY0quX4beIhlauBK5ds9x38mQgJub24+vXgWXLLPcDgDfeAEJDbz8+eBCwZu3INm2ABjMZARi2Yf33vy33HTLEcJ9SQ4sWAVrt7ccnT97+P99wUjMsWrQI3bp1w8mTJ9GvXz+5wzHx888/4+LFi1iwYIHcoTSbK+RQANh6eisOXjyIgssFyNybCQ/uNiKaw5cPyx2C21p+YDkCfALkDsOl6fV6vo5IpH6si04W4bno5+QOhxxIbCzwyivA4sWGvWyffRYoLwdeeglISQE2bwZE3LqAiIiaYFOxtqysDIGBgWbtQUFBuH79+l37ATDrGxQUBABN9tVoNNBoNMbH9esXarVaaBsWqWyg0wGffOKFjcjBCGyyePxmPIGPM0yLta/hC4Sj2GLfjdl9sQm3i7UP4g+8g4+tinNa9msoxu1i7SKcwJ+t6JuDB/HxQdNi7Thsx3BkWex7JNsbH+N2sVYJAR9aGe+y7HHIwu1ibQIK8Ro+xvD6hioAn5j3E5RK6N5916TNY98+KD/91OI19WPGoO6pp0zaPDdtguI/lgvTdRER0A8efLuhtBReH1v3uWqfeQa49b0LAB7Z2VBa0VeIiIDujnuIlDt3wmPnTsvxVlVBP2mSSZvnp59C0cTGRHV6PYRm/oyQgVarhSAI0Ov10Ov1jR4j3FqUuf44ZxcaGop//OMfKC4udrjP58aNG1i/fj0CAgIsxqbX6yEIArRaLZRKpclzzc0d9iB1DgXEyaP/m/+/+O/s/zY84KReydTV1cn6/esWGixTm5yTLFsYboevI5LRn9fj6X5Pt+gcfB1yPe++C2g0hklNAPCPfxg2FPvqK2DaNHljIyJyVzYVa4HGbxETBMGqW8fuPKa+0NFU31WrVuGdd94xa8/IyICvr6814Zqpq1MADQqSJC9BEMxu/32gsBD3WtG3pKQER+7o+8jNm2htRd/c3FxcaNC3VXExrF318ZdffkFlfr7xcZfTp9HHin7VVVXYe0e80cXFaGdF34sXL+LUHX0fq6tr9AdY6+uLrLo61N7ltmqyzNPTE+Hh4aisrLS4qVZFheWZ9s5i9OjRAGC2uZfc6pdEsGasa2trUV1djV9++QU6nc7kuaqqKjHCs5qUORQQJ49evHSxWf2o+QI8A1B9rhpp/4+v62LqcLMDFFBwczFyWdeuXbvrsjvWkDuPkv15eABr195+PG0aMH060M6aNylERCQKm4q1QUFBxhk+DZWXl991Y5T62T9lZWUICwsz6dfw+Tu9/vrrSEpKMj5Wq9Xo1KkT4uPj4e/v32gfSwQB2L+/Bud3j8a/Iuaazbq6U4+AtvhnR9M3+1fP7USxzvJflZ9vfy/mBd3u61HdBTkX/mlVnNt7+EPwut3X+48nkFM81GI/vY8v/tnNNN5WhR8h56blwkts23b4Z3iDvoKAnFzr4l0Z0RN1rW/3VaqjkXPJ0Fel0qGk5Ciio6Ph6Wn+LZcQHW3a0KuX2QzUxrQNCEBCZKRp444d0DWYRdaUnp07o2d4+O0GjQa63r0t9gOAmAceMN0O9U9/gu7//B+L/by8vJBw563l3btDd+vn4G46hoSgY9eupo3790N3xwxDnU6H/y0qwsjx4+Hl5WXxvNS0mpoaXLp0Ca1bt4aPj0+jxwiCgIqKCtxzzz1c61Bktox1TU0NWrVqhZiYGLOvnZxFaKlzKCBOHo0qj0LRjSIcPdr06zrZj06nQ/G/izF29Fi+rossAQmYXzofO7N28ntbAjqdjq8jEqkf67iYOPQOs+733aY42h9zyf46dJA7AiIisuk3o6ioKLN19TQaDfLz883W4buzH2BYd69nz57G9tzcXCgUCpO2hlQqFVQqlVm7l5dXi96wDBkClJf74oGEwc07z9Boy8c0KgCA5YJr4zrf+miGoQ8085oAhjU33pBbH4bbpc6llUM5ZAg8rRnv++4zfDTHgAHN6+flBQxt5ufasaPhozmsLBA3quEyDrcIWi3q0tJa/DNChluOFQoFPDw8mlxLr/52/PrjSDy2jLWHhwcUCkWjPwdy/lxInUMBcfJoj5Ae6BrYFeVnyjEkYghfa0Sm1WqRdoav61K5t+296OHXg9/bEtBqtXwdkUj9WPcO693isebXioiISHw2VRcSEhKQmZmJ0tJSY1tqaio0Gg0SEhKa7Ne1a1f07NkTW7duNWnfvHkzoqOjTXbGJiIickXMoURERERERGSJTcXa+fPnIzAwEBMmTEB6ejq+/vprLFiwADNnzjS5hfPpp582u51p2bJl+Pbbb/Hmm29i//79eOmll5CRkYFly5bZ5zMhIhJB/bqg5Dwc9WvGHEpERERERESW2LQMQmBgILKysrBgwQJMnjwZvr6+mD59Ot59912T4+rq6lBXv53kLYmJiaiqqsJf//pXvP/+++jevTu2bt2K+Hhrt3UiIpJO/W1+VVVVaNVwjWJyeDdv3jQug+BImEOJiIiIiIjIEptX8+/RowfS09PvekxycjKSk5PN2mfPno3Zs2fbekkiIskplUoEBgaipKQEAODr62u2sZVer0dtbS1qamq4Zq3ILI21IAjQ6XRQq9VQq9UIDAy0uIGkHJhDiYiIiIiI6G649SoRURPCw8MBwFiwvZMgCKiurkarVq3MCrlkX9aOtVKpRLt27RAQECBhdERERERERET2wWItEVETFAoF2rVrh9DQUGi1WrPntVotfvnlF8TExDjcLfeuxpqx9vT0hFKpZOGciIiIiIiInBaLtUREFiiVykZvqVcqldDpdPDx8WGxVmQcayIiIiIiInIHXGSRiIiIiIiIiIiIyAGwWEtERERERERERETkAFisJSIiIiIiIiIiInIATrVmrSAIAAC1Wt2i82i1WlRVVUGtVnPtQwlwvKXDsZYWx1s69hrr+vxRn0/cDfOo8+FYS4vjLR2OtXTsOdbunEeZQ50Tx1s6HGvpcKylJcd7Uacq1lZUVAAAOnXqJHMkRETkzCoqKhAQECB3GJJjHiUiIntwxzzKHEpERPZgTQ5VCE70Z1G9Xo/ff/8d99xzDxQKRbPPo1ar0alTJ1y6dAn+/v52jJAaw/GWDsdaWhxv6dhrrAVBQEVFBdq3bw8PD/dbCYh51PlwrKXF8ZYOx1o69hxrd86jzKHOieMtHY61dDjW0pLjvahTzaz18PBAx44d7XY+f39/fmNLiOMtHY61tDje0rHHWLvbTKCGmEedF8daWhxv6XCspWOvsXbXPMoc6tw43tLhWEuHYy0tKd+LutefQ4mIiIiIiIiIiIgcFIu1RERERERERERERA7ALYu1KpUKb7/9NlQqldyhuAWOt3Q41tLieEuHY+1Y+PWQDsdaWhxv6XCspcOxdiz8ekiL4y0djrV0ONbSkmO8nWqDMSIiIiIiIiIiIiJX5ZYza4mIiIiIiIiIiIgcDYu1RERERERERERERA6AxVoiIiIiIiIiIiIiB+D2xdq6ujr87W9/w/DhwxESEoKgoCDExMQgMzNT7tCc3vnz5/Hoo4/Cz88PoaGhePHFF1FdXS13WC7nu+++w8SJE9GpUyf4+fnhwQcfxPr166HX6+UOzeVVVlaiY8eOUCgUOH78uNzhuKwvv/wSffr0gY+PD0JDQzF+/Hi5Q6JbmEPFwxwqHeZR+TCPSoN51HExj4qHeVQazKHyYQ6Vhlw51O2LtdXV1fjrX/+Kvn37YuPGjdiyZQs6dOiAuLg47Nq1S+7wnFZ5eTlGjhyJiooKbNu2De+//z5SUlIwb948uUNzOWvWrIFKpcJ7772HXbt2YeLEiVi4cCFeffVVuUNzecuXL4dOp5M7DJf2l7/8BUlJSZg5cybS09OxYcMGtGvXTu6w6BbmUHEwh0qLeVQ+zKPiYx51bMyj4mAelQ5zqHyYQ8Unaw4V3JxOpxOuX79u0qbX64X+/fsLI0aMkCkq57d69WrB19dXuHbtmrEtJSVFACDk5ubKGJnrKSkpMWt76aWXBB8fH6GmpkaGiNxDXl6e4OfnJ3z22WcCAOHYsWNyh+RycnNzBaVSKaSnp8sdCjWBOVQczKHSYh6VB/Oo+JhHHR/zqDiYR6XDHCoP5lDxyZ1D3X5mrVKpRFBQkEmbQqFA37598fvvv8sUlfNLS0vDqFGjEBwcbGybMmUKVCoV0tLSZIzM9YSEhJi19evXDzU1Nbh+/boMEbmHhQsX4rnnnkNkZKTcobis5ORk3HvvvYiPj5c7FGoCc6g4mEOlxTwqD+ZR8TGPOj7mUXEwj0qHOVQezKHikzuHun2xtjF6vR6//voroqKi5A7FaeXl5ZmNn0qlQrdu3ZCXlydTVO7jwIEDaNOmDUJDQ+UOxSV9//33yMnJwdKlS+UOxaUdPnwYDzzwAJYvX47Q0FB4e3tj+PDhyM7Oljs0ugvm0JZjDpUf86i4mEelwTzqnJhHW455VF7MoeJiDpWG3DmUxdpGfPLJJzh37hySkpLkDsVplZWVITAw0Kw9KCiIf2ET2fHjx7Fx40a89NJLUCqVcofjcqqqqpCUlIRVq1bB399f7nBc2tWrV5GRkYGUlBR89tln2L59O6qqqhAXF4fy8nK5w6MmMIe2HHOovJhHxcU8Kh3mUefEPNpyzKPyYQ4VF3OodOTOoZ6iX0EGN27cQFFRkcXjunbtCpVKZdL2888/Y/HixXjllVcQExMjVohuQaFQmLUJgtBoO9nH1atXMWXKFERHR3NRd5GsWLECYWFhmDNnjtyhuDy9Xo/Kykps27YNvXv3BgD86U9/QteuXfH5559j8eLFMkfomphDHQNzqDyYR8XHPCod5lF5MI86BuZR6TGHio85VDpy51CXLNampqbiqaeesnjcyZMn0bdvX+PjU6dOYcKECZg4cSLeffddESN0fUFBQSgrKzNrLy8v5y09Irlx4wbGjBkDX19f7Ny5E15eXnKH5HJ+++03rFmzBqmpqVCr1QCAyspK47+VlZVo3bq1nCG6lDZt2iAsLMyYHAGgXbt26NmzJ86cOSNjZK6NOVR+zKHyYB4VH/OotJhH5cE8Kj/mUekxh4qPOVRacudQl1wGYc6cORAEweJHw+SYn5+P0aNHo3///vj666/5F7cWioqKMlsPSKPRID8/nwlSBDU1NRg/fjyKi4uxZ88etG3bVu6QXFJBQQFqa2vx2GOPISgoCEFBQRg3bhwAIDY2FqNGjZI5QtfS1GuFIAjw8HDJ9OUQmEPlxxwqPeZRaTCPSot5VB7Mo/JjHpUWc6g0mEOlJXcOZZaGYbp+fHw8wsPD8cMPP8Db21vukJxeQkICMjMzUVpaamxLTU2FRqNBQkKCjJG5Hp1Oh6lTpyInJwd79uxBRESE3CG5rL59+2Lfvn0mHx9++CEA4LPPPsPf//53mSN0LWPHjkVxcTFOnz5tbLty5QrOnj2LPn36yBgZNcQcan/ModJiHpUO86i0mEedA/Oo/TGPSoc5VDrModKSO4cqBEEQRL+KA6uursbgwYORn5+Pb775BmFhYSbPDxo0SKbInFt5eTnuv/9+dOnSBUuWLEFJSQmSkpIwevRofPPNN3KH51Lmz5+Pzz//HH/729/w8MMPmzzXq1cvLjwusv379yM2NhbHjh3DgAED5A7HpdTV1SE6OhoVFRVYsWIFvL29sWzZMpSUlODcuXPw8/OTO0S3xxwqDuZQaTGPyot5VDzMo46PeVQczKPSYQ6VF3OoeGTPoYKbKygoEAA0+UHNd+7cOSE+Pl7w9fUVgoODhQULFghVVVVyh+VyIiIimvz+3bdvn9zhubx9+/YJAIRjx47JHYpLKi4uFmbMmCEEBAQIvr6+wpgxY4SzZ8/KHRbdwhwqHuZQ6TCPyot5VFzMo46NeVQ8zKPSYA6VF3OouOTMoW4/s5aIiIiIiIiIiIjIEXDNWiIiIiIiIiIiIiIHwGItERERERERERERkQNgsZaIiIiIiIiIiIjIAbBYS0REREREREREROQAWKwlIiIiIiIiIiIicgAs1hIRERERERERERE5ABZriYiIiIiIiIiIiBwAi7VEREREREREREREDoDFWiIiIiIiIiIiIiIHwGItERERERERERERkQNgsZaIiIiIiIiIiIjIAbBYS0REREREREREROQA/j+GiY7sLuxBJwAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 1400x400 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "t = np.linspace(-2, 6, 1000)\n",
    "\n",
    "# Egységugrásjel és eltolt változata\n",
    "eps_t = np.heaviside(t, 0.5)              # ε(t)\n",
    "eps_t_shifted = np.heaviside(t - 2, 0.5)  # ε(t-2)\n",
    "\n",
    "# Ablakozó függvény: [0, 2] intervallumban 1\n",
    "window = eps_t - eps_t_shifted\n",
    "\n",
    "# Egy jel, amit ablakozunk\n",
    "x = 0.5 + 0.4 * np.exp(-t) * np.cos(3*t)\n",
    "x_windowed = window * x\n",
    "\n",
    "fig, axes = plt.subplots(1, 3, figsize=(14, 4))\n",
    "\n",
    "axes[0].plot(t, eps_t, 'b-', lw=2, label=r'$\\varepsilon(t)$')\n",
    "axes[0].plot(t, eps_t_shifted, 'r--', lw=2, label=r'$\\varepsilon(t-2)$')\n",
    "axes[0].legend(); axes[0].set_title('Egységugrásjelek'); axes[0].grid(True)\n",
    "\n",
    "axes[1].plot(t, window, 'g-', lw=2)\n",
    "axes[1].set_title(r'Ablak: $\\varepsilon(t) - \\varepsilon(t-2)$'); axes[1].grid(True)\n",
    "\n",
    "axes[2].plot(t, x, 'b--', lw=1, label='x(t) eredeti')\n",
    "axes[2].plot(t, x_windowed, 'r-', lw=2, label='ablakozott jel')\n",
    "axes[2].legend(); axes[2].set_title('Ablakozás'); axes[2].grid(True)\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7f461436",
   "metadata": {},
   "source": [
    "## 1.5. Páros és páratlan felbontás\n",
    "\n",
    "**4. feladat:** Bontsa fel az $x(t) = e^{-2t} \\cdot \\varepsilon(t)$ jelet páros és páratlan összetevőre!\n",
    "\n",
    "$$x_{\\text{páros}}(t) = \\frac{1}{2}[x(t) + x(-t)], \\quad x_{\\text{páratlan}}(t) = \\frac{1}{2}[x(t) - x(-t)]$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "0862be8e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1400x400 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Max hiba (páros + páratlan vs eredeti): 0.00e+00\n"
     ]
    }
   ],
   "source": [
    "t = np.linspace(-3, 3, 1000)\n",
    "\n",
    "# Eredeti jel és tükörképe\n",
    "x_pos = np.exp(-2*t) * np.heaviside(t, 0.5)   # x(t)\n",
    "x_neg = np.exp(2*t) * np.heaviside(-t, 0.5)   # x(-t)\n",
    "\n",
    "# Felbontás\n",
    "x_even = 0.5 * (x_pos + x_neg)   # páros összetevő\n",
    "x_odd  = 0.5 * (x_pos - x_neg)   # páratlan összetevő\n",
    "\n",
    "fig, axes = plt.subplots(1, 3, figsize=(14, 4))\n",
    "axes[0].plot(t, x_pos, 'b-', lw=2); axes[0].set_title('x(t) – eredeti')\n",
    "axes[1].plot(t, x_even,'r-', lw=2); axes[1].set_title(r'$x_{páros}(t)$')\n",
    "axes[2].plot(t, x_odd, 'g-', lw=2); axes[2].set_title(r'$x_{páratlan}(t)$')\n",
    "for ax in axes: ax.grid(True); ax.set_xlabel('t [s]')\n",
    "plt.tight_layout()\n",
    "plt.show()\n",
    "\n",
    "# Ellenőrzés\n",
    "print(f\"Max hiba (páros + páratlan vs eredeti): {np.max(np.abs(x_pos - (x_even + x_odd))):.2e}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "012f8975",
   "metadata": {},
   "source": [
    "## 1.6. Önálló feladatok\n",
    "\n",
    "> **A)** Ábrázolja az $x(t) = 2t \\cdot [\\varepsilon(t) - \\varepsilon(t-2.5)]$ jelet!\n",
    ">\n",
    "> **B)** Határozza meg, hogy az $x[k] = \\sin(k\\pi/4)$ jel periodikus-e, és ha igen, mekkora a periódusa! Ábrázolja!\n",
    ">\n",
    "> **C)** Vizsgálja meg, hogy az $x(t) = t \\cdot e^{-0.5t} \\cdot \\varepsilon(t)$ jel korlátos-e és abszolút integrálható-e! Számítsa ki numerikusan!\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6ad94188",
   "metadata": {},
   "source": [
    "---\n",
    "# 2. gyakorlat: Rendszerek és hálózatok – LTI rendszer alapok\n",
    "\n",
    "**Cél:** A rendszerek osztályozása (lineáris, invariáns, kauzális, stabil), jelfolyam-hálózatok szimulációja.\n",
    "\n",
    "## 2.1. Elméleti összefoglaló\n",
    "\n",
    "Egy rendszer a **bemenetet** (gerjesztés, $s(t)$) **kimenetté** (válasz, $y(t)$) transzformálja: $y = \\mathcal{W}\\{s\\}$.\n",
    "\n",
    "| Tulajdonság | Feltétel |\n",
    "|---|---|\n",
    "| **Linearitás** | $\\mathcal{W}\\{C_1 s_1 + C_2 s_2\\} = C_1 \\mathcal{W}\\{s_1\\} + C_2 \\mathcal{W}\\{s_2\\}$ |\n",
    "| **Invariancia** | $\\mathcal{W}\\{s(t-\\tau)\\} = y(t-\\tau)$ |\n",
    "| **Kauzalitás** | A válasz nem függ a jövőbeli gerjesztéstől |\n",
    "| **BIBO-stabilitás** | Korlátos bemenet → korlátos kimenet |\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ee6fd937",
   "metadata": {},
   "source": [
    "## 2.2. Linearitás vizsgálata\n",
    "\n",
    "**1. feladat:** Ellenőrizze, hogy az $y(t) = 3 \\cdot s(t) + 2$ rendszer lineáris-e!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "b8725661",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "y = 3s + 2 rendszer:\n",
      "Max eltérés: 8.000000\n",
      "→ A rendszer NEM lineáris.\n",
      "\n",
      "Miért? Mert ha s=0, akkor y=2≠0 → sérül a linearitás feltétele.\n"
     ]
    }
   ],
   "source": [
    "def system_affine(s):\n",
    "    \"\"\"Affin transzformáció: y = 3s + 2 (NEM lineáris!)\"\"\"\n",
    "    return 3 * s + 2\n",
    "\n",
    "def check_linearity(system, s1, s2, C1=2, C2=3):\n",
    "    \"\"\"Szuperpozíció elvének vizsgálata\"\"\"\n",
    "    left  = system(C1 * s1 + C2 * s2)        # W{C1·s1 + C2·s2}\n",
    "    right = C1 * system(s1) + C2 * system(s2) # C1·W{s1} + C2·W{s2}\n",
    "    error = np.max(np.abs(left - right))\n",
    "    print(f\"Max eltérés: {error:.6f}\")\n",
    "    print(f\"→ A rendszer {'LINEÁRIS' if error < 1e-10 else 'NEM lineáris'}.\")\n",
    "\n",
    "t = np.linspace(0, 5, 1000)\n",
    "s1 = np.sin(t)\n",
    "s2 = np.cos(2*t)\n",
    "\n",
    "print(\"y = 3s + 2 rendszer:\")\n",
    "check_linearity(system_affine, s1, s2)\n",
    "print(\"\\nMiért? Mert ha s=0, akkor y=2≠0 → sérül a linearitás feltétele.\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "285e8d2c",
   "metadata": {},
   "source": [
    "## 2.3. Invariancia vizsgálata\n",
    "\n",
    "**2. feladat:** Vizsgálja az $y(t) = s(t) \\cdot \\cos(2\\pi t)$ rendszer invarianciáját!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "5d2e64ca",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "A rendszer NEM invariáns (a cos(2πt) szorzó időfüggő).\n"
     ]
    }
   ],
   "source": [
    "def system_timevar(s, t):\n",
    "    \"\"\"Időfüggő rendszer: y(t) = s(t)·cos(2πt)\"\"\"\n",
    "    return s * np.cos(2 * np.pi * t)\n",
    "\n",
    "t = np.linspace(0, 5, 1000)\n",
    "dt = t[1] - t[0]\n",
    "tau = 1.0\n",
    "shift_idx = int(tau / dt)\n",
    "\n",
    "s = np.exp(-t) * np.heaviside(t, 0.5)\n",
    "y = system_timevar(s, t)\n",
    "\n",
    "# Eltolt gerjesztés: s(t - τ)\n",
    "s_shifted = np.zeros_like(s)\n",
    "s_shifted[shift_idx:] = s[:-shift_idx]\n",
    "y_from_shifted = system_timevar(s_shifted, t)\n",
    "\n",
    "# Eltolt válasz: y(t - τ)\n",
    "y_shifted = np.zeros_like(y)\n",
    "y_shifted[shift_idx:] = y[:-shift_idx]\n",
    "\n",
    "fig, (ax1, ax2) = plt.subplots(2, 1, figsize=(10, 6))\n",
    "ax1.plot(t, y_from_shifted, 'b-', label=r'$\\mathcal{W}\\{s(t-\\tau)\\}$')\n",
    "ax1.plot(t, y_shifted, 'r--', label=r'$y(t-\\tau)$')\n",
    "ax1.legend(); ax1.set_title('Invariancia vizsgálat'); ax1.grid(True)\n",
    "\n",
    "ax2.plot(t, y_from_shifted - y_shifted, 'k-')\n",
    "ax2.set_title('Különbség (nem nulla → NEM invariáns)'); ax2.grid(True)\n",
    "ax2.set_xlabel('t [s]')\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()\n",
    "print(\"A rendszer NEM invariáns (a cos(2πt) szorzó időfüggő).\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "70cbf5ed",
   "metadata": {},
   "source": [
    "## 2.4. BIBO-stabilitás vizsgálata\n",
    "\n",
    "**3. feladat:** Vizsgálja, hogy a $w(t) = e^{-2t} \\cdot \\varepsilon(t)$ impulzusválaszú rendszer BIBO-stabil-e!\n",
    "\n",
    "Feltétel: $\\int_0^{\\infty} |w(t)| \\, dt < \\infty$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "59effa5f",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "∫₀^∞ |w(t)| dt = 0.5000\n",
      "→ A rendszer BIBO-stabil.\n"
     ]
    }
   ],
   "source": [
    "# BIBO-stabilitás: az impulzusválasz abszolút integrálható legyen\n",
    "integral_value, _ = quad(lambda t: np.abs(np.exp(-2*t)), 0, np.inf)\n",
    "\n",
    "print(f\"∫₀^∞ |w(t)| dt = {integral_value:.4f}\")\n",
    "print(f\"→ A rendszer {'BIBO-stabil' if integral_value < np.inf else 'NEM stabil'}.\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e202c429",
   "metadata": {},
   "source": [
    "## 2.5. RC szűrő ugrás- és impulzusválasza\n",
    "\n",
    "**4. feladat:** Szimulálja az elsőrendű RC aluláteresztő szűrőt!\n",
    "\n",
    "$$H(s) = \\frac{1}{\\tau s + 1}, \\quad \\tau = RC$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "0172fb46",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "tau = 0.5  # RC időállandó [s]\n",
    "sys_rc = lti([1], [tau, 1])  # H(s) = 1/(τs + 1)\n",
    "\n",
    "t_plot = np.linspace(0, 5, 1000)\n",
    "t_s, y_s = step(sys_rc, T=t_plot)      # ugrásválasz\n",
    "t_i, y_i = impulse(sys_rc, T=t_plot)   # impulzusválasz\n",
    "\n",
    "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(12, 4))\n",
    "ax1.plot(t_s, y_s, 'b-', lw=2)\n",
    "ax1.set_title('Ugrásválasz v(t)'); ax1.set_xlabel('t [s]'); ax1.grid(True)\n",
    "\n",
    "ax2.plot(t_i, y_i, 'r-', lw=2)\n",
    "ax2.set_title('Impulzusválasz w(t)'); ax2.set_xlabel('t [s]'); ax2.grid(True)\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "bbc2535a",
   "metadata": {},
   "source": [
    "## 2.6. Önálló feladatok\n",
    "\n",
    "> **A)** Vizsgálja, hogy az $y(t) = s^2(t)$ rendszer lineáris-e!\n",
    ">\n",
    "> **B)** Modellezzen egy másodrendű rendszert: $H(s) = \\omega_n^2 / (s^2 + 2\\zeta\\omega_n s + \\omega_n^2)$, $\\omega_n=5$, $\\zeta=0.3$. Ábrázolja az ugrásválaszt!\n",
    ">\n",
    "> **C)** Ellenőrizze, hogy a $w(t) = t \\cdot e^{-0.5t} \\cdot \\varepsilon(t)$ impulzusválaszú rendszer stabil-e!\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0ff3ea19",
   "metadata": {},
   "source": [
    "---\n",
    "# 3. gyakorlat: Konvolúció – FI rendszerek időtartománybeli analízise\n",
    "\n",
    "**Cél:** A súlyfüggvénytétel (konvolúciós integrál) megértése és numerikus implementálása.\n",
    "\n",
    "## 3.1. Elméleti összefoglaló\n",
    "\n",
    "Az LTI rendszer válasza tetszőleges gerjesztésre a **konvolúcióval** számítható:\n",
    "\n",
    "$$y(t) = s(t) * w(t) = \\int_{-\\infty}^{\\infty} s(\\tau) \\cdot w(t - \\tau) \\, d\\tau$$\n",
    "\n",
    "Diszkrét időben:\n",
    "$$y[k] = \\sum_{i=-\\infty}^{\\infty} s[i] \\cdot w[k-i]$$\n",
    "\n",
    "A konvolúció **kommutatív**, **asszociatív** és **disztributív**.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "babb9cc3",
   "metadata": {},
   "source": [
    "## 3.2. Diszkrét konvolúció – saját implementáció\n",
    "\n",
    "**1. feladat:** Számítsa ki az $s[k] = \\{1, 2, 3, 2, 1\\}$ és $w[k] = \\{1, 1, 1\\}$ jelek konvolúcióját!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "2f245887",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Saját:  [1. 3. 6. 7. 6. 3. 1.]\n",
      "NumPy:  [1 3 6 7 6 3 1]\n",
      "Egyeznek: True\n"
     ]
    },
    {
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      "text/plain": [
       "<Figure size 1400x400 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def my_conv(s, w):\n",
    "    \"\"\"Diszkrét konvolúció kézi implementációja.\"\"\"\n",
    "    N = len(s) + len(w) - 1  # eredmény hossza\n",
    "    y = np.zeros(N)\n",
    "    for k in range(N):\n",
    "        for i in range(len(s)):\n",
    "            if 0 <= k - i < len(w):  # csak érvényes indexekre\n",
    "                y[k] += s[i] * w[k - i]\n",
    "    return y\n",
    "\n",
    "s = np.array([1, 2, 3, 2, 1])\n",
    "w = np.array([1, 1, 1])\n",
    "\n",
    "y_manual = my_conv(s, w)\n",
    "y_numpy  = np.convolve(s, w)\n",
    "\n",
    "print(f\"Saját:  {y_manual}\")\n",
    "print(f\"NumPy:  {y_numpy}\")\n",
    "print(f\"Egyeznek: {np.allclose(y_manual, y_numpy)}\")\n",
    "\n",
    "fig, axes = plt.subplots(1, 3, figsize=(14, 4))\n",
    "axes[0].stem(range(len(s)), s); axes[0].set_title('s[k]')\n",
    "axes[1].stem(range(len(w)), w); axes[1].set_title('w[k]')\n",
    "axes[2].stem(range(len(y_numpy)), y_numpy); axes[2].set_title('y[k] = s*w')\n",
    "for ax in axes: ax.grid(True); ax.set_xlabel('k')\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "718e0885",
   "metadata": {},
   "source": [
    "## 3.3. Folytonos konvolúció numerikusan\n",
    "\n",
    "**2. feladat:** $s(t) = \\varepsilon(t)$, $w(t) = e^{-2t}\\varepsilon(t)$. Analitikus eredmény: $y(t) = 0.5(1 - e^{-2t})$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "7388e0f5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "dt = 0.001\n",
    "t = np.arange(0, 10, dt)\n",
    "\n",
    "s_cont = np.ones_like(t)       # ε(t)\n",
    "w_cont = np.exp(-2 * t)        # impulzusválasz\n",
    "\n",
    "# Numerikus konvolúció (dt szorzó a Riemann-összeghez)\n",
    "y_num = convolve(s_cont, w_cont, mode='full')[:len(t)] * dt\n",
    "\n",
    "# Analitikus megoldás\n",
    "y_exact = 0.5 * (1 - np.exp(-2 * t))\n",
    "\n",
    "plt.figure(figsize=(10, 5))\n",
    "plt.plot(t, y_num, 'b-', lw=2, label='Numerikus konvolúció')\n",
    "plt.plot(t, y_exact, 'r--', lw=2, label=r'Analitikus: $0.5(1-e^{-2t})$')\n",
    "plt.legend(); plt.grid(True)\n",
    "plt.xlabel('t [s]'); plt.ylabel('y(t)')\n",
    "plt.title('Konvolúciós integrál – numerikus vs. analitikus')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2646bb5e",
   "metadata": {},
   "source": [
    "## 3.4. Konvolúció animáció\n",
    "\n",
    "**3. feladat:** A konvolúció lépésről lépésre – interaktív szemléltetés.\n",
    "\n",
    "> ⚠️ Ha nem fut az animáció, állítsd be: `%matplotlib notebook` (Jupyter) vagy `%matplotlib tk` (standalone)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "10e3fe2a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "<link rel=\"stylesheet\"\n",
       "href=\"https://maxcdn.bootstrapcdn.com/font-awesome/4.4.0/css/font-awesome.min.css\">\n",
       "<script language=\"javascript\">\n",
       "  function isInternetExplorer() {\n",
       "    ua = navigator.userAgent;\n",
       "    /* MSIE used to detect old browsers and Trident used to newer ones*/\n",
       "    return ua.indexOf(\"MSIE \") > -1 || ua.indexOf(\"Trident/\") > -1;\n",
       "  }\n",
       "\n",
       "  /* Define the Animation class */\n",
       "  function Animation(frames, img_id, slider_id, interval, loop_select_id){\n",
       "    this.img_id = img_id;\n",
       "    this.slider_id = slider_id;\n",
       "    this.loop_select_id = loop_select_id;\n",
       "    this.interval = interval;\n",
       "    this.current_frame = 0;\n",
       "    this.direction = 0;\n",
       "    this.timer = null;\n",
       "    this.frames = new Array(frames.length);\n",
       "\n",
       "    for (var i=0; i<frames.length; i++)\n",
       "    {\n",
       "     this.frames[i] = new Image();\n",
       "     this.frames[i].src = frames[i];\n",
       "    }\n",
       "    var slider = document.getElementById(this.slider_id);\n",
       "    slider.max = this.frames.length - 1;\n",
       "    if (isInternetExplorer()) {\n",
       "        // switch from oninput to onchange because IE <= 11 does not conform\n",
       "        // with W3C specification. It ignores oninput and onchange behaves\n",
       "        // like oninput. In contrast, Microsoft Edge behaves correctly.\n",
       "        slider.setAttribute('onchange', slider.getAttribute('oninput'));\n",
       "        slider.setAttribute('oninput', null);\n",
       "    }\n",
       "    this.set_frame(this.current_frame);\n",
       "  }\n",
       "\n",
       "  Animation.prototype.get_loop_state = function(){\n",
       "    var button_group = document[this.loop_select_id].state;\n",
       "    for (var i = 0; i < button_group.length; i++) {\n",
       "        var button = button_group[i];\n",
       "        if (button.checked) {\n",
       "            return button.value;\n",
       "        }\n",
       "    }\n",
       "    return undefined;\n",
       "  }\n",
       "\n",
       "  Animation.prototype.set_frame = function(frame){\n",
       "    this.current_frame = frame;\n",
       "    document.getElementById(this.img_id).src =\n",
       "            this.frames[this.current_frame].src;\n",
       "    document.getElementById(this.slider_id).value = this.current_frame;\n",
       "  }\n",
       "\n",
       "  Animation.prototype.next_frame = function()\n",
       "  {\n",
       "    this.set_frame(Math.min(this.frames.length - 1, this.current_frame + 1));\n",
       "  }\n",
       "\n",
       "  Animation.prototype.previous_frame = function()\n",
       "  {\n",
       "    this.set_frame(Math.max(0, this.current_frame - 1));\n",
       "  }\n",
       "\n",
       "  Animation.prototype.first_frame = function()\n",
       "  {\n",
       "    this.set_frame(0);\n",
       "  }\n",
       "\n",
       "  Animation.prototype.last_frame = function()\n",
       "  {\n",
       "    this.set_frame(this.frames.length - 1);\n",
       "  }\n",
       "\n",
       "  Animation.prototype.slower = function()\n",
       "  {\n",
       "    this.interval /= 0.7;\n",
       "    if(this.direction > 0){this.play_animation();}\n",
       "    else if(this.direction < 0){this.reverse_animation();}\n",
       "  }\n",
       "\n",
       "  Animation.prototype.faster = function()\n",
       "  {\n",
       "    this.interval *= 0.7;\n",
       "    if(this.direction > 0){this.play_animation();}\n",
       "    else if(this.direction < 0){this.reverse_animation();}\n",
       "  }\n",
       "\n",
       "  Animation.prototype.anim_step_forward = function()\n",
       "  {\n",
       "    this.current_frame += 1;\n",
       "    if(this.current_frame < this.frames.length){\n",
       "      this.set_frame(this.current_frame);\n",
       "    }else{\n",
       "      var loop_state = this.get_loop_state();\n",
       "      if(loop_state == \"loop\"){\n",
       "        this.first_frame();\n",
       "      }else if(loop_state == \"reflect\"){\n",
       "        this.last_frame();\n",
       "        this.reverse_animation();\n",
       "      }else{\n",
       "        this.pause_animation();\n",
       "        this.last_frame();\n",
       "      }\n",
       "    }\n",
       "  }\n",
       "\n",
       "  Animation.prototype.anim_step_reverse = function()\n",
       "  {\n",
       "    this.current_frame -= 1;\n",
       "    if(this.current_frame >= 0){\n",
       "      this.set_frame(this.current_frame);\n",
       "    }else{\n",
       "      var loop_state = this.get_loop_state();\n",
       "      if(loop_state == \"loop\"){\n",
       "        this.last_frame();\n",
       "      }else if(loop_state == \"reflect\"){\n",
       "        this.first_frame();\n",
       "        this.play_animation();\n",
       "      }else{\n",
       "        this.pause_animation();\n",
       "        this.first_frame();\n",
       "      }\n",
       "    }\n",
       "  }\n",
       "\n",
       "  Animation.prototype.pause_animation = function()\n",
       "  {\n",
       "    this.direction = 0;\n",
       "    if (this.timer){\n",
       "      clearInterval(this.timer);\n",
       "      this.timer = null;\n",
       "    }\n",
       "  }\n",
       "\n",
       "  Animation.prototype.play_animation = function()\n",
       "  {\n",
       "    this.pause_animation();\n",
       "    this.direction = 1;\n",
       "    var t = this;\n",
       "    if (!this.timer) this.timer = setInterval(function() {\n",
       "        t.anim_step_forward();\n",
       "    }, this.interval);\n",
       "  }\n",
       "\n",
       "  Animation.prototype.reverse_animation = function()\n",
       "  {\n",
       "    this.pause_animation();\n",
       "    this.direction = -1;\n",
       "    var t = this;\n",
       "    if (!this.timer) this.timer = setInterval(function() {\n",
       "        t.anim_step_reverse();\n",
       "    }, this.interval);\n",
       "  }\n",
       "</script>\n",
       "\n",
       "<style>\n",
       ".animation {\n",
       "    display: inline-block;\n",
       "    text-align: center;\n",
       "}\n",
       "input[type=range].anim-slider {\n",
       "    width: 374px;\n",
       "    margin-left: auto;\n",
       "    margin-right: auto;\n",
       "}\n",
       ".anim-buttons {\n",
       "    margin: 8px 0px;\n",
       "}\n",
       ".anim-buttons button {\n",
       "    padding: 0;\n",
       "    width: 36px;\n",
       "}\n",
       ".anim-state label {\n",
       "    margin-right: 8px;\n",
       "}\n",
       ".anim-state input {\n",
       "    margin: 0;\n",
       "    vertical-align: middle;\n",
       "}\n",
       "</style>\n",
       "\n",
       "<div class=\"animation\">\n",
       "  <img id=\"_anim_img178056a3817a4a679636271073485223\">\n",
       "  <div class=\"anim-controls\">\n",
       "    <input id=\"_anim_slider178056a3817a4a679636271073485223\" type=\"range\" class=\"anim-slider\"\n",
       "           name=\"points\" min=\"0\" max=\"1\" step=\"1\" value=\"0\"\n",
       "           oninput=\"anim178056a3817a4a679636271073485223.set_frame(parseInt(this.value));\">\n",
       "    <div class=\"anim-buttons\">\n",
       "      <button title=\"Decrease speed\" aria-label=\"Decrease speed\" onclick=\"anim178056a3817a4a679636271073485223.slower()\">\n",
       "          <i class=\"fa fa-minus\"></i></button>\n",
       "      <button title=\"First frame\" aria-label=\"First frame\" onclick=\"anim178056a3817a4a679636271073485223.first_frame()\">\n",
       "        <i class=\"fa fa-fast-backward\"></i></button>\n",
       "      <button title=\"Previous frame\" aria-label=\"Previous frame\" onclick=\"anim178056a3817a4a679636271073485223.previous_frame()\">\n",
       "          <i class=\"fa fa-step-backward\"></i></button>\n",
       "      <button title=\"Play backwards\" aria-label=\"Play backwards\" onclick=\"anim178056a3817a4a679636271073485223.reverse_animation()\">\n",
       "          <i class=\"fa fa-play fa-flip-horizontal\"></i></button>\n",
       "      <button title=\"Pause\" aria-label=\"Pause\" onclick=\"anim178056a3817a4a679636271073485223.pause_animation()\">\n",
       "          <i class=\"fa fa-pause\"></i></button>\n",
       "      <button title=\"Play\" aria-label=\"Play\" onclick=\"anim178056a3817a4a679636271073485223.play_animation()\">\n",
       "          <i class=\"fa fa-play\"></i></button>\n",
       "      <button title=\"Next frame\" aria-label=\"Next frame\" onclick=\"anim178056a3817a4a679636271073485223.next_frame()\">\n",
       "          <i class=\"fa fa-step-forward\"></i></button>\n",
       "      <button title=\"Last frame\" aria-label=\"Last frame\" onclick=\"anim178056a3817a4a679636271073485223.last_frame()\">\n",
       "          <i class=\"fa fa-fast-forward\"></i></button>\n",
       "      <button title=\"Increase speed\" aria-label=\"Increase speed\" onclick=\"anim178056a3817a4a679636271073485223.faster()\">\n",
       "          <i class=\"fa fa-plus\"></i></button>\n",
       "    </div>\n",
       "    <form title=\"Repetition mode\" aria-label=\"Repetition mode\" action=\"#n\" name=\"_anim_loop_select178056a3817a4a679636271073485223\"\n",
       "          class=\"anim-state\">\n",
       "      <input type=\"radio\" name=\"state\" value=\"once\" id=\"_anim_radio1_178056a3817a4a679636271073485223\"\n",
       "             >\n",
       "      <label for=\"_anim_radio1_178056a3817a4a679636271073485223\">Once</label>\n",
       "      <input type=\"radio\" name=\"state\" value=\"loop\" id=\"_anim_radio2_178056a3817a4a679636271073485223\"\n",
       "             checked>\n",
       "      <label for=\"_anim_radio2_178056a3817a4a679636271073485223\">Loop</label>\n",
       "      <input type=\"radio\" name=\"state\" value=\"reflect\" id=\"_anim_radio3_178056a3817a4a679636271073485223\"\n",
       "             >\n",
       "      <label for=\"_anim_radio3_178056a3817a4a679636271073485223\">Reflect</label>\n",
       "    </form>\n",
       "  </div>\n",
       "</div>\n",
       "\n",
       "\n",
       "<script language=\"javascript\">\n",
       "  /* Instantiate the Animation class. */\n",
       "  /* The IDs given should match those used in the template above. */\n",
       "  (function() {\n",
       "    var img_id = \"_anim_img178056a3817a4a679636271073485223\";\n",
       "    var slider_id = \"_anim_slider178056a3817a4a679636271073485223\";\n",
       "    var loop_select_id = \"_anim_loop_select178056a3817a4a679636271073485223\";\n",
       "    var frames = new Array(60);\n",
       "    \n",
       "  frames[0] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAA+gAAAK8CAYAAAB8y5WxAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90\\\n",
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       "\"\n",
       "\n",
       "\n",
       "    /* set a timeout to make sure all the above elements are created before\n",
       "       the object is initialized. */\n",
       "    setTimeout(function() {\n",
       "        anim178056a3817a4a679636271073485223 = new Animation(frames, img_id, slider_id, 100.0,\n",
       "                                 loop_select_id);\n",
       "    }, 0);\n",
       "  })()\n",
       "</script>\n"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "✅ Animáció betöltve (lejátszás a vezérlőgombokkal)\n"
     ]
    }
   ],
   "source": [
    "from matplotlib.animation import FuncAnimation\n",
    "from IPython.display import HTML\n",
    "\n",
    "dt_a = 0.05\n",
    "tau_range = np.arange(-2, 8, dt_a)\n",
    "t_vals = np.arange(0, 6, 0.1)\n",
    "\n",
    "s_func = lambda t: np.heaviside(t, 0.5) * np.heaviside(2 - t, 0.5)\n",
    "w_func = lambda t: np.exp(-t) * np.heaviside(t, 0.5)\n",
    "\n",
    "fig_a, (ax_top, ax_bot) = plt.subplots(2, 1, figsize=(10, 7))\n",
    "\n",
    "def update(frame):\n",
    "    t_now = t_vals[frame]\n",
    "    ax_top.cla(); ax_bot.cla()\n",
    "    \n",
    "    s_tau = s_func(tau_range)\n",
    "    w_mirror = w_func(t_now - tau_range)\n",
    "    \n",
    "    ax_top.plot(tau_range, s_tau, 'b-', label=r's($\\tau$)')\n",
    "    ax_top.plot(tau_range, w_mirror, 'r-', label=f'w({t_now:.1f}-$\\\\tau$)')\n",
    "    ax_top.fill_between(tau_range, s_tau * w_mirror, alpha=0.3, color='green')\n",
    "    ax_top.legend(); ax_top.set_xlim(-2, 8); ax_top.set_ylim(-0.5, 1.5)\n",
    "    ax_top.set_title(f'Konvolúció – t = {t_now:.1f} s'); ax_top.grid(True)\n",
    "    \n",
    "    y_vals = [np.trapz(s_func(tau_range) * w_func(tv - tau_range), tau_range)\n",
    "              for tv in t_vals[:frame+1]]\n",
    "    ax_bot.plot(t_vals[:frame+1], y_vals, 'g-', lw=2)\n",
    "    ax_bot.set_xlim(0, 6); ax_bot.set_ylim(-0.2, 1.2)\n",
    "    ax_bot.set_title('y(t) = s*w'); ax_bot.set_xlabel('t [s]'); ax_bot.grid(True)\n",
    "\n",
    "ani = FuncAnimation(fig_a, update, frames=len(t_vals), interval=100)\n",
    "plt.tight_layout()\n",
    "plt.close(fig_a)  # Elkerüljük az üres ábra megjelenítését\n",
    "\n",
    "# Jupyter Notebook-ban HTML animációt jelenítünk meg\n",
    "try:\n",
    "    display(HTML(ani.to_jshtml()))\n",
    "    print(\"✅ Animáció betöltve (lejátszás a vezérlőgombokkal)\")\n",
    "except Exception as e:\n",
    "    print(f\"⚠️ Animáció nem támogatott ebben a környezetben: {e}\")\n",
    "    print(\"Alternatíva: statikus pillanatfelvétel megjelenítése...\")\n",
    "    \n",
    "    # Statikus pillanatfelvételek helyett\n",
    "    fig_s, axes_s = plt.subplots(2, 3, figsize=(15, 8))\n",
    "    for col, t_snap in enumerate([0.5, 2.0, 4.0]):\n",
    "        s_tau = s_func(tau_range)\n",
    "        w_m = w_func(t_snap - tau_range)\n",
    "        \n",
    "        axes_s[0, col].plot(tau_range, s_tau, 'b-', label=r's($\\tau$)')\n",
    "        axes_s[0, col].plot(tau_range, w_m, 'r-', label=f'w({t_snap}-$\\\\tau$)')\n",
    "        axes_s[0, col].fill_between(tau_range, s_tau * w_m, alpha=0.3, color='green')\n",
    "        axes_s[0, col].set_xlim(-2, 8); axes_s[0, col].set_ylim(-0.5, 1.5)\n",
    "        axes_s[0, col].legend(); axes_s[0, col].grid(True)\n",
    "        axes_s[0, col].set_title(f't = {t_snap} s')\n",
    "        \n",
    "        t_range = t_vals[t_vals <= t_snap + 0.05]\n",
    "        y_v = [np.trapz(s_func(tau_range) * w_func(tv - tau_range), tau_range)\n",
    "               for tv in t_range]\n",
    "        axes_s[1, col].plot(t_range, y_v, 'g-', lw=2)\n",
    "        axes_s[1, col].set_xlim(0, 6); axes_s[1, col].set_ylim(-0.2, 1.2)\n",
    "        axes_s[1, col].grid(True); axes_s[1, col].set_xlabel('t [s]')\n",
    "    \n",
    "    plt.suptitle('Konvolúció – pillanatfelvételek', fontsize=14)\n",
    "    plt.tight_layout()\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "99893df7",
   "metadata": {},
   "source": [
    "## 3.5. Önálló feladatok\n",
    "\n",
    "> **A)** Konvolúció: $s(t) = e^{-t}\\varepsilon(t)$, $w(t) = e^{-2t}\\varepsilon(t)$. Analitikus eredmény: $y(t) = (e^{-t} - e^{-2t})\\varepsilon(t)$.\n",
    ">\n",
    "> **B)** Mutassa meg a kommutativitást numerikusan: $s*w = w*s$.\n",
    ">\n",
    "> **C)** Sorba kapcsolt rendszerek: $w_1(t)=2e^{-2t}\\varepsilon(t)$, $w_2(t)=3e^{-3t}\\varepsilon(t)$. Az eredő impulzusválasz: $w = w_1 * w_2$.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "468b05b6",
   "metadata": {},
   "source": [
    "---\n",
    "# 4. gyakorlat: Állapotváltozós leírás és differenciálegyenletek\n",
    "\n",
    "**Cél:** A rendszeregyenlet és az állapotváltozós leírás felírása, megoldása, stabilitásvizsgálat.\n",
    "\n",
    "## 4.1. Elméleti összefoglaló\n",
    "\n",
    "**Állapotváltozós forma:**\n",
    "$$\\dot{\\mathbf{x}}(t) = \\mathbf{A}\\mathbf{x}(t) + \\mathbf{B}s(t)$$\n",
    "$$y(t) = \\mathbf{C}\\mathbf{x}(t) + Ds(t)$$\n",
    "\n",
    "**Megoldás:** $\\mathbf{x}(t) = e^{\\mathbf{A}t}\\mathbf{x}(0) + \\int_0^t e^{\\mathbf{A}(t-\\tau)}\\mathbf{B}s(\\tau)\\,d\\tau$\n",
    "\n",
    "**Aszimptotikus stabilitás:** Az $\\mathbf{A}$ mátrix minden sajátértékének valós része negatív.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f11e5fc1",
   "metadata": {},
   "source": [
    "## 4.2. Rendszeregyenlet megoldása\n",
    "\n",
    "**1. feladat:** $y'' + 3y' + 2y = s(t)$, ahol $s(t) = \\varepsilon(t)$, $y(0)=0$, $y'(0)=0$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "47b5f7d7",
   "metadata": {},
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 1000x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def system_ode(x, t):\n",
    "    \"\"\"Másodrendű ODE: x1=y, x2=y'\"\"\"\n",
    "    s = 1.0 if t >= 0 else 0.0  # egységugrás\n",
    "    return [x[1],                          # x1' = x2\n",
    "            -2*x[0] - 3*x[1] + s]         # x2' = -2x1 - 3x2 + s\n",
    "\n",
    "t = np.linspace(0, 8, 1000)\n",
    "sol = odeint(system_ode, [0, 0], t)   # y(0)=0, y'(0)=0\n",
    "\n",
    "# Összehasonlítás scipy.signal-lal\n",
    "sys = lti([1], [1, 3, 2])  # H(s) = 1/(s²+3s+2)\n",
    "t_s, y_s = step(sys, T=t)\n",
    "\n",
    "plt.figure(figsize=(10, 5))\n",
    "plt.plot(t, sol[:, 0], 'b-', lw=2, label='ODE megoldás (odeint)')\n",
    "plt.plot(t_s, y_s, 'r--', lw=2, label='scipy.signal.step')\n",
    "plt.legend(); plt.grid(True)\n",
    "plt.xlabel('t [s]'); plt.ylabel('y(t)')\n",
    "plt.title(\"Másodrendű rendszer ugrásválasza: y'' + 3y' + 2y = ε(t)\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b4f412c2",
   "metadata": {},
   "source": [
    "## 4.3. Állapotváltozós leírás és mátrixexponenciális\n",
    "\n",
    "**2. feladat:** $\\mathbf{A} = \\begin{bmatrix} -1 & 1 \\\\ 0 & -2 \\end{bmatrix}$, $\\mathbf{B} = \\begin{bmatrix} 0 \\\\ 1 \\end{bmatrix}$, $\\mathbf{C} = [1, 0]$, $D = 0$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "67289c32",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Sajátértékek: [-1. -2.]\n",
      "Valós részek: [-1. -2.]\n",
      "Aszimptotikusan stabil? True\n",
      "\n",
      "e^(A·1) =\n",
      "[[0.36787944 0.23254416]\n",
      " [0.         0.13533528]]\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "A = np.array([[-1, 1], [0, -2]])\n",
    "B = np.array([[0], [1]])\n",
    "C = np.array([[1, 0]])\n",
    "D = np.array([[0]])\n",
    "\n",
    "sys_ss = StateSpace(A, B, C, D)\n",
    "t = np.linspace(0, 8, 1000)\n",
    "t_out, y_out = step(sys_ss, T=t)\n",
    "\n",
    "# Sajátérték analízis\n",
    "eigenvalues = np.linalg.eigvals(A)\n",
    "print(f\"Sajátértékek: {eigenvalues}\")\n",
    "print(f\"Valós részek: {eigenvalues.real}\")\n",
    "print(f\"Aszimptotikusan stabil? {all(eigenvalues.real < 0)}\")\n",
    "print(f\"\\ne^(A·1) =\\n{expm(A * 1.0)}\")\n",
    "\n",
    "plt.figure(figsize=(10, 5))\n",
    "plt.plot(t_out, y_out, 'b-', lw=2)\n",
    "plt.grid(True); plt.xlabel('t [s]'); plt.ylabel('y(t)')\n",
    "plt.title('Állapotváltozós rendszer ugrásválasza')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e0240147",
   "metadata": {},
   "source": [
    "## 4.4. Fázisportré\n",
    "\n",
    "**3. feladat:** Rajzolja meg a fázisportrét különböző kezdeti feltételekre!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "24fbec04",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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ZekMzd3O057Xa8Vm4cKHZqBNgXmDlpX///vjjjz/M/m3YsGH48ccfi3xtZGQkNm7ciA0bNmD58uVYt27drcnElClT8nlms7Ky0K9fP+zbtw+//fYbGjdunG9bV69eRdu2bZGWloannnoK9evXR3h4OHx8fPD9999j+vTpxUbuzKGdnxMnTqBNmzYIDQ3FSy+9hFq1aiEkJAQ+Pj547733sGrVKqu2aw1FNSwprpGJdn3Zep298sormDx5Ml566SU8/PDDZp9j6TZPnTqFli1bIiwsDC+++CJq166N0NBQ+Pj44I033ijUzWz8+PH4z3/+gyVLlmDdunWYNGkSPv30Uzz55JMYO3ZssfuKiYkBYH5iW6VKFezevRtr1qzBypUrsXbtWvz3v//Fa6+9hiVLlqBt27YAeJ2Ze31RREVFISAgAAAQHx8PgKsM5o5D3ufkRZuQxMbGWrxfQXAWInAFQWeuXLmCOXPmYNiwYfjiiy/y/a0oa8LLL7+Mn3/+GS+//DJGjRpl1f4qVaqERx99FI8++ihycnIwdOhQzJgxA+vWrbt1cwSAvXv3Fnrt6dOnceXKFVSrVg0Ab2RhYWHYvXt3oeeqqoo9e/YgMjIy39J0cdga+alRowaWLl2KuLg4NGrUyKZtfPLJJ7h06ZLZv5UvX77E1/v4+KBNmza3OqcdO3YMjRo1wssvv3xL4KqqigceeACrV6/G+PHj0bNnz0LbWbVqFU6ePIlJkyYVSkaaMGFCkfvfu3dvoeigdg618zVv3jykp6fj119/RadOnfI995VXXsn3u/Yac9fBnj17ihyHM7DlOhs/fjzeffdd3HvvvXjnnXcKvU6b8GjR/7ycPXu2UILW3LlzcfnyZfz666+3LBQaRQnJWrVqoVatWnjmmWeQmZmJ7t2748svv8Rzzz2Xz/ZRkDp16kBRlFsWjYL4+/ujS5cu6NKlCwBg+/btaNq0Kd58802sXLkSALBhwwZ07NixyH0UZPXq1beqRmjWpA0bNhR6nvZYQfsSYLKUSIKZYARE4AqCzmi+yYK2hLS0NHz66aeFnv/tt9/i/fffx3333Ye3337b4v1cuXIFpUqVylcb18/PD/Xr18eMGTMK3aSXL1+OzZs357uRvfvuuwAY7dTG3rdvX0yZMgWzZ8/GwIEDbz136tSpOHz4MEaMGGGxcNW8tampqWbLIxXF/fffj7Fjx+Kll17CwoULC9X/vXLlCoKCgoqM7gIoFEm1hvPnz9+KumlUrFgRMTEx+awRL774IqZNm4ZXXnkFI0eONLstLaJZcHl6x44d+PXXX4scw3vvvYdff/311vV07NgxTJ06FdWrV79ViaKobS9duhSbN2/O91ijRo1QqVIlTJ48GS+++OItQZabm3vrOnAV1l5nCxcuxGOPPYaOHTvi+++/N3v9xcbGomXLlliyZAl27dqVT5S99957hZ6vbaPg53ThwoXYunVrvsdSU1NRunTpfJ7oUqVKoXbt2li7di1SU1OLFbgxMTFISkrCX3/9Vehv5q61pKQkBAcH5/sMax5cS8lr76lSpQpat26NP/74A9u2bbv12cjJycHYsWMRFhZmtmnNxo0bER0djbp161q8X0FwFiJwBUFnwsLC0LVrV0ybNg1BQUFo3rw5Tp8+jUmTJqF8+fL5+rvv3r0bTzzxBKKiotCxY0dMnTo137ZCQ0PRt29fs/tZvXo1Ro4cif79+6NmzZqIiIjAnj178O2336JixYqFInq33XYbOnfujMceewwVK1bE8uXLb0WvhgwZcut57777LlasWIHBgwdj9erVqFev3q3yTQkJCWajZ0XRokULAMALL7xwqxVq3bp1S7xhNm7cGG+//TZeffVV1K1bF4MHD0Z8fDxSUlKwc+dO/Pbbb9i7d69VotkaRo0ahePHj6Nbt26oVKkScnJy8Ntvv+HAgQN45plnAFBEfvjhh6hatSpq1apVqEVz2bJl0aVLF7Ru3RpxcXF49tlnkZycjMqVK2Pv3r2YMGEC6tWrV2RU/9SpU+jcuTP69euH1NRUfPPNN8jKysJXX311S5z16NEDISEhGDp0KB5//HFER0dj27ZtmDZtGurVq4ddu3bd2p6vry/Gjh2Lfv36oXnz5nj44YcRGRmJuXPnFirB5Qosvc4uXryIQYMGwc/PDwMGDMCsWbMKbUtruPLZZ5+hQ4cOaNu2LR5//PFbZcL++ecfREdH5xPGPXr0QKlSpXD//fffOnZbt27F9OnT0aBBA+zYsePWcydPnoxPP/0Uffv2RfXq1REcHIytW7di4sSJaNy4sUURzkGDBuGNN964VZNXo1u3bggLC0P79u1RsWJFXL16FTNmzEB6ejoeeOCBW8+zx4MLAGPHjkW7du3QrVs3PPPMM4iOjsbUqVOxZcsWfPfdd4VWZa5cuYJ169bhgQceEA+uYAx0qNwgCF6FVq7nrbfeKvI558+fV0eOHKmWL19eDQwMVGvVqqV++umn6sqVK1UA6g8//JBvW0X9VKpU6dY2C5YJS05OVh955BE1KSlJDQ8PV4ODg9Xq1auro0ePVk+dOnXreVqZsDfeeEOdMWOG2qBBAzUwMFAtV66c+tRTT5ktaXbixAl1xIgRalxcnOrn56eWL19eHTlyZKHyZtr4tfdjjg8++ECtUqWK6ufnd2scqmoqE5a3nFFBli5dqvbs2VMtU6aM6u/vr5YvX17t2LGj+sknn6jXrl0r8nX2MmfOHLVPnz5qfHy8GhgYqEZGRqrNmjVTx48ff6t0lzb+on7ylqTatWuX2rNnTzUyMlItVaqU2qJFC3X+/Plmy6hp5zklJUUdNmyYWqZMGTUwMFBt0aKFumLFikJjXbdundquXTs1PDxcDQsLUzt16qSuW7eu0PWisXTpUrVZs2ZqYGCgGh0drQ4fPlw9f/681WXCzJ3z9u3b57tmS3qNJdeZdv0W95OXjRs3qh06dFCDg4PV0qVLq3fddZd6/PhxNSoqSu3Ro0e+5/7xxx9q27Zt1bCwMDUsLEzt3Lmz+tdffxU6dv/88486fPhwNTExUQ0JCVFDQkLU2rVrq6+++qp66dKlEo+ZqrJ0m7+/vzpmzJh8j0+YMEHt1q2bGhcXpwYEBKgxMTFq+/bt1VmzZlm0XWvYvn27escdd6gRERFqcHCw2qxZM/WXX34x+9wJEyaoAAqVXBMEvVBUVVqOCIJg4ujRo6hSpQreeOONW13EBMGbOH/+PGJjY/HII4/gm2++0W0cTz31FGbNmoXk5GQEBwfrNo6SyM3NRf369VGzZs1bJQQFQW+kDq4gCILgtVy7dq3QY5q3vVu3bq4eTj7efPNNZGdn46uvvtJ1HCUxY8YMHDx4EB9++KHeQxGEW4gHVxAEQfBKcnJyULFiRdx7772oVasWrl69imXLlmH58uXo2LEjevfurev4IiMjC7X3NiJDhgzJ58sXBCMgAlcQBEHwSnx9fdGnTx8sXrwYEydORHZ2NipXroxXX30VL7/8cr4qCIIguBfiwRUEQRAEQRA8CpmeCoIgCIIgCB6FCFxBEARBEATBoxAPLlji5PTp0wgLC5MC1YIgCIIgCAZEVVWkp6ejfPnyJXrkReACOH36dLFtEwVBEARBEARjcOLECcTHxxf7HBG4YKtUgAcsPDxc59G4juzsbCxbtgxdu3aFv7+/3sMRnIycb+9Czrd3Iefbu/DW852WloaEhIRbuq04ROACt2wJ4eHhXidwS5UqhfDwcK/6gHgrcr69Cznf3oWcb+/C28+3JXZSSTITBEEQBEEQPAoRuIIgCIIgCIJHIQJXEARBEARB8ChE4AqCIAiCIAgehQhcQRAEQRAEwaMQgSsIgiAIgiB4FCJwBUEQBEEQBI9CBK4gCIIgCILgUYjAFQRBEARBEDwKEbiCIAiCIAiCRyECVxAEQRAEQfAoROAKgiAIgiAIHoUIXEEQBEEQBMGjEIErCIIgCIIgeBQicAVBEARBEASPQgSuIAiCIAiC4FGIwBUEQRAEQRA8ChG4giAIgiAIgkchAlcQBEEQBEHwKETgCoIgCIIgCB6FCFxBEARBEATBoxCBKwiCIAiCIHgUInAFQRAEQRAEj0IEriAIgiAIguBRiMAVBEEQBEEQPAoRuIIgCIIgCIJHIQJXEARBEARB8ChE4AqCIAiCIAgehQhcQRAEQRAEwaMQgSsIgiAIgiB4FCJwBUEQBEEQBI9CBK4gCIIgCILgUYjAFQRBEARBEDwKEbiCIAiCIAiCRyECVxAEQRAEQfAoROAKgiAIgiAIHoUIXEEQBEEQBMGjEIErCIIgCIIgeBQicAVBEARBEASPQgSuIAiCIAiC4FGIwBUEQRAEQRA8ChG4giAIgiAIgkchAlcQBEEQBEHwKETgCoIgCIIgCB6FCFxBEARBEATBoxCBKwiCIAiCIHgUInAFQRAEQRAEj0IEriAIgiAIguBRiMAVBEEQBEEQPAoRuIIgCIIgCIJHIQJXEARBEARB8ChE4AqCIAiCIAgehQhcQRAEQRAEwaNwe4H7yy+/oG/fvkhISEBISAjq16+Pb775Brm5uXoPTRAEQRAEQdABP70HYC+ffPIJKlWqhI8++ghly5bF6tWrMXr0aCQnJ+Ojjz7Se3iCIAiCIAiCi3F7gbtgwQLExMTc+r1jx464evUqvvrqK7z99tsIDAzUcXSCIAiCIAiCq3F7i0Jecatx22234fr160hNTdVhRIIgCIIgCIKeuL3ANcfatWsRFRWF2NhYvYciCIIgCIIguBi3tygUZOvWrfjhhx/wxhtvwNfX1+xzbty4gRs3btz6PS0tDQCQnZ2N7Oxsl4zTCKSmZuPo0TCves+WcuYMcOMGULmy3iNxHNp5tvd8//svEB0NREU5YlSexfbtQFISEBCg90gcd74dxZYtCpo0UaEoeo/EeGzZoqBpU9WubRjtfDuCnBxg506gUSO9R2I8UlOzceJEqEedb0uw5v0qqqra96kyEGfPnkXz5s0RHx+PNWvWwN/f3+zz3nzzTYwZM6bQ49OmTUOpUqWcPUzDkJOj4Ndfq6NhwxRUr35F7+EYimvX/DBnTiL69DmEsDDv+gIpifPng7B6dUXcdde/IlYKsH9/JC5eDEbr1qf1HorhWLUqATVqXEJ8/FW9h2I4Zs6sgQEDDsLPz2Nuxw5BVYFZs2pg0KB/9R6K4Th3Lhh795ZBx44n9R6KS8nMzMSQIUNw5coVhIeHF/tcjxG4V65cQYcOHXD9+nWsW7cOZcqUKfK55iK4CQkJuHDhQokHzJPIzs7GkiUrsHt3d3Tr5oPGjT3iUnAYp08D333ng5deykVQkN6jsZ/s7GwsX74cXbp0KXLyZylLlijIzgZ695ZrJi+qCrzzjg8efzwXkZH6jsWR59sRpKQA06b54OmnpYRjQebMUVC9uooGDWzfhtHOt6N4+20fvPqqXDMF+fffHEyatBdvv13bo853SaSlpSE6OtoigesRFoXr16+jd+/eOHfuHDZu3FisuAWAwMBAs9UV/P39vepCAQA/PxXPPadg7Fg/+PoCTZvqPSLjUKkScO+9wNdf++L55wEfD3GsO+I679ULeP994ORJoEoVBw3MQxg6FPjlF188/rjeIyFG+V6rUAHIzQWuXvXVXfwbjWbNgD/+AJo0sX9bRjnfjoLBBV940FtyCL6+gKKoHne+S8Ka9+r2t+ycnBzcfffd2LFjB5YuXYpKlSrpPSS3w98f+O9/gVWrgM2b9R6NsahTB2jeHPj+e71HYiwUBXjsMWDiRCArS+/RGIvq1YGbN4HkZL1HYjy6dwd+/13vURiPKlWAo0f1HoUxiY1l9F/IT24uxCJWAm4vcB9//HEsWLAAr7zyCjIzM/HXX3/d+tGSx4SS8fMDnn0WWL0a2LRJ79EYi44dgZAQYOFCvUdiLCIigP79gR9/1HskxuO++4CpU2lZEEzUrw/s2cPkIcGEogClSwOXLuk9EuMRF8ekXyE/FLjyBVMcbi9wf///cMDzzz+Pli1b5vv5+++/dR6de6GJ3D/+EJFbkHvuAQ4dArZs0XskxqJxY/67dau+4zAaUVFAYqKsiBREUYCWLYG//tJ7JMajYUPgn3/0HoXxKFcOOHtW71EYj9xcwMdHBG5xuL3APXr0KFRVNfvToUMHvYfndvj5Af/5D/Dnn8DGjXqPxjgoCvD448DixbL0XJDhw4FffwUuX9Z5IAajXz/gt98kWlmQjh1phxLy06gRy8wJ+RGBax6xKJSM2wtcwfH4+QHPPAOsWwds2KD3aIyDvz/F/6RJwMWLeo/GOAQEAA89BHzzjSzJ5yUwEOjcGVi0SO+RGIvgYIoWmSjmJyICuHJFPkMFEQ+ueVRVLAolIQJXMIsmcjdsEJGbl7AwRnI//xy4fl3v0RiHypWZkCdiLj8dOgB//w2kp+s9EmNxxx1cDRHyU7WqCP+C+PnJKog5JIJbMiJwhSLRRO7GjYzmCqR8eXpyP/uMXzIC6dWLXYeOH9d7JMZBUXitTJ+u90iMRYUKjFaK8M9Po0acEAmFkch2fiTJrGRE4ArF4usLPP00k2VE5JqoU4fJMpMm6T0S46AowKOPAuPHS+mwvNSuTSF34oTeIzEWXboAK1boPQpjUbs2sG+f3qMwHhERgBRFyk9OjiKd70pABK5QIr6+wFNPUeSuXav3aIxDhw60LCxYoPdIjENkJNC7NzB5st4jMRZDhwI//6z3KIxFkyasviGrICb8/Oj1v3ZN75EYi5gY4Px5vUdhLLKyAD8/+fAUhwhcwSI0kbt1KyssCGTQIODwYSkflpdmzYDsbCl5lJfYWFpb5JiY8PFhmblt2/QeibGoV49WH8GECNzCZGeLwC0JEbiCxWgi9++/WStXMJUPW7JEkkPy8uCDwOzZ9FkK5K67gDlz2OVMIF26AMuW6T0KYyE+3MKIwC0MBa5YFIpDBK5gFT4+wOjRrNe4erXeozEG/v5Mxps0CbhwQe/RGIPAQGDECODbbyU5RKNUKaBtWxF0eQkL48/p03qPxDjExUnd14KIwC2MWBRKRgSuYDU+PsCTTwK7donI1QgLA554AvjiCykfplG1KlCjBvD/zQYFMGK5YQOQkaH3SIxDjx7A0qV6j8I4KApQpozU2s6LCNzCZGUBvr4icItDBK5gEz4+FHS7dgErV+o9GmMQFwcMHizlw/LSty992ydP6j0SY+DjAwwcCMyapfdIjEP16sDRo1xyFYj4cPMTECCVWQoiFoWSEYEr2IwWyd27V0SuRlIS0KoVMHGi3iMxBlrpsO++k2LtGg0aAOfOyTK0hqLwMyMNZUzUr8/ggSAUhVgUSkYErmAXisJI7r59UtNSo317IDxcyodplCkD9OwJTJmi90iMw9Chcjzy0r69JK7mRSwKhfH3lyhuXrKzxaJQEiJwBbvRKgkcOAAsX673aIyBVj5s82a9R2IMWrYEMjOBHTv0HokxqFCBxeulqD8JDqbPUpphmIiNBVJS9B6FcShTBrh0Se9RGIcbNxQEBIjALQ4RuIJDUBTgsceAgwclSxwwif6lS6V8mMaIEfSeSntWMmgQMHOmVJnQ6N6d5fYEUr+++HDzEhkJpKbqPQrjcO0aEBAgNQeLQwSu4DA0v+Xhw5IVDUj5sIIEBQHDh0vpMI2ICLZ83rhR75EYgypVWC7sxg29R2IM6tUTH25eoqJE4OYlM1MEbkmIwBUciqIAjzwCHDkiIhcwlQ/7/HNpvwkAiYkUMuLXJn36AIsWSQKeRtu2wLp1eo/CGJQuDVy+LJNBDRG4+VFVJnoLRSOHR3A4msg9dgxYvFjv0ehPXBwwZAhFrnSxAvr3Z9TyzBm9R6I/AQFAp05SK1ijbVtg7Vq9R2Ec4uLkc6IhAlewFhG4glNQFGDUKNY/FZFrKh82aZLeI9EfHx9OgL77TgQ/AHTsCPz1F5ccvZ2AACbgiW+diA/XRFSUJJnlRVH0HoHxEYErOA1FAUaOBE6dAhYu1Hs0+iPlw0zExvJ4zJ6t90j0x8cH6NcPmDNH75EYg+7dxd6kUbcusHu33qMwBqGhkqAqWIcIXMGpKArw0EMsai/CjpnzycnApk16j0R/OnRgWaiDB/Ueif7cdhstPVL7FEhIYFKmeNY5IU5PFx8uwHuJHAcTcixKRgSu4HQUhSWizp0DfvtN79Hoi1ZO7fffWW3Cm1EU4OGHgR9/lMx5RaFPe9o0vUdiDDp0kMYPGgkJ0upayI+qikXBEkTgCi5BE7kXLgDz5+s9Gn3Ryod9/72UDwsLAwYMAH76Se+R6E/VqvQkHz2q90j0p2VLKZ+mUacOsGeP3qMwBr6+UnEEADIygFKl9B6F8RGBK7gMRQEeeIDLsL/+qvdo9EXKh5lo1Ij//v23vuMwAvfeC0yfrvco9Mffn8lmIvaB2rWl452GZtnwdtLTgfBw8SiUhAhcwaVoIvfyZWDePL1Hoy9xcRQ0n30m1QSGDWOSlbffvGJieF1IS2Oga1fpigiwHu6VK3qPwhhERMixAPg9GRqq9yiMjwhcweUoCgVNWhowd67eo9GX2rWBNm2AiRO9O2kgMFC6nGncdRerS3j7cahcmRVYsrP1Hon+lC4tJbIACty0NL1HoT/p6VwFFIpHBK6gC4oC3H8/cPWqlIpq145f3N5eSi0xEahYEVizRu+R6EtICNCkiSRZAUCLFqwR7O0kJYlNAaBFQQQuj4EI3JIRgSvohqIAQ4fSg+rtInfQIFZV2LJF75Hoy8CBFHYpKXqPRF969gSWLweysvQeib60aydCH+BKz969eo9Cf8LDxaIAaBYFL1/isQARuIKuKApw333A9evArFl6j0Y/FAV4/HFg0SLvTqzx9WXpMG+3Kvj7A9268XrwZkJC6DX09glPfLyUCgPEg6vBJDO9R2F8ROAKuqMoTLbKzgZmztR7NPqhlQ8bP967/XZxcUDz5lJpo21b4J9/JPGuc2dgxQq9R6EvisI2xt5eL1o8uESSzCxDBK5gCDSRe/MmMGOG3qPRj4gI4NFHWVnBm5enu3YF9u/37mi2ogB33w388oveI9GXOnW4PJ+bq/dI9KVGDeDff/Uehb6EhYnABXgMJIJbMiJwBUMxZAj/9eZaoAkJQP/+wJdfeu8yvaJQ6E+c6N1Z9HXrss21NzcEURSgQQMpnSaJZqy24u1RbICWvqAgvUdhfETgCobjnnt4U/PmtqUNG/KGNnWq3iPRj9KlgV69gClT9B6Jvtxzj3dbdwDg9tuBlSv1HoW+VK8uEVxpTytYgwhcwZDccw8TjqZO9d4oZo8enKmvXq33SPSjeXMgMxPYtUvvkehH1aq8Dk6d0nsk+hEVxUi+N/uRAwLYptZbvw8FwVpE4AqGZdAgJl55s8h98EHWAfXmEkEjRtCXnZGh90j0Y/Bg717RAICOHaVGcsWKwLFjeo9C0JOsLFo1hJIRgSsYmrvvptfo55+9U+T6+ABPP01xc/as3qPRh+BglpKbMEHvkehH+fIsmXXokN4j0Y8mTYCtW/Uehb7UrAkcPKj3KAQ9uXQJiIzUexTugQhcwfAMHEiRM2WKd4rc4GDgqaeYdOatUczatYEyZYB16/QeiX4MGuTdFUb8/Cj0jx/XeyT6kZgoPtyAAO+uMHPpEvMThJIRgSu4BQMHsu7f5MneKXJjYoBhw1g+LCdH79How+DBwO+/A6mpeo9EH8qUYcH/nTv1Hol+dOrk3Z70mBjg/Hm9R6EvISHeO9EHJIJrDSJwBbehf3/W/vvpJ+8UuTVqAB06cKneG9+/nx8wahTwzTfe+f4BYMAAYO5c733/1avTpuGtNXEVhXkJ3hzBFIErAtdSROAKbkW/flye+eEH77zJt2nDSN5vv+k9En1ISGBt2N9/13sk+hAWxvJxmzbpPRJ9UBSgfn3vjmJXrQocOaL3KPQjOBi4dk3vUejH+fNAdLTeo3APROAKbkffvhR533/vnSL3rrvY4WvLFr1Hog+9ewObN3tv0l3v3sCCBd4bxfT2agqJid6daObtzR7On6dVRSgZEbiCW9KnDz/kkyZ5n8hVFOCxx4DFi70zkqMowMMPA999533nHmBVkVatvNeLGh0NXL3qvVE8b080Cwry3nMPsC54SIjeo3APROAKbkvv3kDZst4pcv39gWeeYStbb0y6KluWTSDmz9d7JPrQrRuwapX3tjFu1QrYsEHvUehDRASQlqb3KPQjKMi7I7iC5YjAFdyaXr2AuDgKPW8TueHhwKOPAp9/7p1f+N26sQHGiRN6j8T1+PkBXboAS5fqPRJ98GaBCwClSjGS540EBrKznzdy8yZrowuWIYdKcHvuuAOoUME7qwvEx7O6xNix3vfeNavChAn84vc22rdnspk3LtcGBTHhzltLZmnVJLyRoCDvFbiXLrFttWAZInAFj6BnT4q98eO9T+g1bAjUq8dub95GmTKsjTp7tt4jcT2KQi+6t9o0OnTw3mSzGjW8N9HMmwWuJJhZhwhcwWPo2ROoVMk7k4+6d2dtzFWr9B6J62nfnt2tkpP1HonradIE2L/fOz2ZWrkwb/usA0C1at4dwfVGSxYApKSIwLUGEbiCR9G9O1C5MvDtt95343vgAZbP2rNH75G4FkVhA4hJk7wv6UpRaFGZN0/vkbgeHx+gShXvrCQSHOy9Is/X13u7OZ45w5wTwTJE4AoeR/fujHB4W8crHx/g6aeB6dP5RehNREQAd94JTJum90hcT/36wLFjwJUreo/E9bRrB/zxh96j0AdvTbby8/NOzz3A2t8icC1HBK7gkXTtynqR48Z5l8gNCqLI/eor1gr1Jlq2ZBLGvn16j8T1DBzonT7katVoTfGmz7hGpUps+OJteHMENy2NyZWCZYjAFTyWLl2AmjWBr7/2rhtgdDQwfDjw2WfedyN46CEm23lbZCspidEdb6uJrChArVreOanxVnuGN0dwAV7zgmWIwBU8ms6dgdq1GdH0JpGbmAjcfrv3VZUIDQUGDAAmT9Z7JK7HW6O47dt7p03BWwWut0Zwr13jCp1gOSJwBY/n9tuBOnWAL78EcnP1Ho3raNUKiI31vjJSjRrxBrhzp94jcS01awIXLwIXLug9EtcSH0/PubdF9WJivLMOsLdGcCXBzHpE4ApeQadOrBX71VfeJXIHDGAJrU2b9B6Ja3nwQWDmTCAjQ++RuJa77wZ++UXvUbiehg2BHTv0HoVrURT+eNMKDeC9EVxJMLMeEbiC19CxI0Xu2LHeI3IVBXjsMbZ09ablzKAgYPBg4Pvv9R6Ja6lWDUhPZ71Mb6JtW+DPP/UehespV47Cx5vw1gjuqVNA+fJ6j8K9EIEreBUdOwK33eZdItfPD3jmGeD7731w9aqf3sNxGXXrAqVKAVu26D0S13L33YxeexMxMcwwz8rSeySuxRt9uD4+3ilwT5wAEhL0HoV7IQJX8Drat6dP84svvOeLMjwcGDUqFwsWVPMqETB0KPDrr4xqeguVK7MJgLfVQm7SBNi6Ve9RuJbKlb1P4Pr6es/3dl7S06VEmLWIwBW8knbteEP0JpGbkAA0bXoW337r4zW+vYAAlkwbP17vkbiWQYOAX37xrq/31q2Bdev0HoVrqVSJHntvwhvLZKmqd75ve/Gub0BByEPbtkCzZt4lcqtXv4IqVVSvKieVmMhqEuvX6z0S15GQwJvihQveU1coIoIWBW+qgRwQ4H22DG/k/Hl+hwnWIQJX8GratKHI/fxz7xG5d96pIiUF2LBB75G4jnvuARYvpk/TW7jrrlysX19B72G4FG+0Kfj7i8j1dI4fBypW1HsU7ocIXMHradOGbV69pfOXogAPPwysWME2p96Avz+tChMn6j0S11G+PODrq+LYMb1H4jpatgQ2btR7FK6lQgXg9Gm9R+E6vHG5/sQJ1nsWrEMEriCATRFatfIekatVVpg0Cbh0Se/RuIbERLYx9iYB1KbNKcye7T1f8xERtCjcuKH3SFxHfDxw8qTeo3Ad3ihwjx2TCK4teM83nyCUQKtWjOZ6i8gNCwMefZT2DG9Z4hw8GFi40HuqKpQufQOBgd6ViNS4MfD333qPwnV4m8DNzWWpMG/iyhWgdGm9R+F+eNllIuRFVYHsbC+bCpdAy5assPDxx96RrBIfD/Ttyw5vllZWyM523+5J/v7AsGHOsypkZztnu/YwYECuIZIKXXVsWrRwvyi9PRPq+HguYXsiqlr42HibwM3JYWm0guTmek/eiK140WUiFOTSJWDWrJpe1/WoJJo3B6pXB/r18w6Re9ttQI0awKxZlj3/r79gCMFkKzVqAFFRzmlfPGuW8VrGxsVREJw6pe84vvjCNUl+UVHA1avutSrx7ru2vzYkBLh2zXFjMRLZ2cAnn+R/zNsE7smT5hs8HDwIbNjgXUmk1uJFl4lQkKgo4I47kvHVVz7YvVvv0RiLgQPZEcpbRO4ddwCpqZaV0mrThu1Bt21z/ricxeDBwG+/Od6q0K8fRa7RLC4DBwK//KLvGNq2BVavds2+brsN2L7dNftyBIGB9n/PuOuqSnGYE7PeJnCPHGHHuoL8+6+CuLirrh+QG+FFl4lgjtKls/Dyy7lYtAj4/Xe9R2MsHniA5aX69gUyM/UejXNRFGDkSGDVKuDQoZKf+/DDwPz57tstKyAAuP9+Jtk5klKlgM6dgQULHLtde4mP53KmnudLK+HlCiHWsqV7lcGzt+VuTAxrpXoaN28WXp73NoGbnAxUrVr48UOHFFSokOH6AbkRXnSZCEURFAQ8/zy/IMePF19PXoYNY7SvXz/PF7l+fsDTTwM//MBobnEEBACjRwNff+2+Ee6aNZl1v3mzY7fboQOwc2fJx9DVDByor7XE15f2kP37nb+v6Gjg8mXjRdKLompV+0r2JSR4ZqJZbq4I3FOnWPKvIOnpQHCwm1zgOuFFl4lQHIoC3HcfULs2/WDekmVuCcOG8dj060dvnycTFgY89hgrK5RUaik6mhFuaxLUjMa99zIS7cjzqiiMDv/0k+O26QgqVaJXU0/PfZcuwLJlrtlXgwbG80MXhb0Cl5UUPC9h2FwE9+ZN7xG4qmpe0KelAeHh+ozJnfCSy0SwlLZtGbF8/33Pzcy1haFD+dO/v+eL3AoV+D4tEa516wK1agFz5rhmbI4mIIDn9fvvHbvdKlWY/GM0b/vAgfqeq3LlOHnOcMHKaosWTIh0ByIj7Yv4x8UB5855h8DNyqJn2Rs4e5bntiAHDwLVq7tpVMGFiMAVClG9OvDf/7KUkre1vSyO++5jNyxviOQ2bMho/owZJT/3jjvYSclda4/WqgWEhjr+Wr/3Xh4/I1l+qlZlTc0LF/QbQ/v2wB9/OH8/cXEUCO6wuqAoFHK2Wiqio73Hg3v9Om113sDBg7T1FOTAAaBGDTe4sHVGBK5glshI4JVXmFU/d6573CRcwZAhwIgR3iFye/ZktG3t2uKfpyjAI48Av/7qvkln990HzJvn2MhiSAjF3OLFjtumIxgwgJ9pvXBlZDUxseSkSaNgT8MGX18uZXsa5uwI3iRw//3XvMBNTjZfWUHIjwhcoUi0RCJFYQ1Ld6or6UzuuQd46CFWV/B0kTtiBKNtBw8W/zx3TzoLCKDIdbRVoXNnRoYvX3bsdu0hMZHRPr2S4Pz96Qc+fNj5+2re3H1sClWr2ldJAfC8QIQ5/+mNG95jUTCXYHbzJo+Lv78+Y3InROAKxaIojFa2bQu8847xMsP1YtAgYNQoilxXFK/XC19fVlb48Ufg4sXinxsdzePy9dfueaOtXRsIDnZsfV8teXPyZMdt0xH078+ItV507eqaZLMaNUqenBmFqlXtE/1lygBXr3qW6inKouANAjcnh+JeKWCtPnpUoreWIgJXsIjGjVkn9ZNP3OeG4WzuvptL8/36ebbIDQ0FHn/cssoK9eoxQqineLKHoUO5fO9Iq0JiIkuwuaI8lqXUrk3f9JUr+uw/IYHVHEq6nuxFUYDYWODcOefuxxGUL89zYiuxsSouX/astXtzbWq9xaJw/DhQuXLhx/fsAZKSXD4ct0QErmAx8fHASy8BM2cCf/6p92iMwcCBLKvVt6+xlqEdTfnywF13AWPHlhyd7dWLX87u1ElKIzCQyWE//ujY7Q4dCkydaiyfZN++9E3rRatWwMaNzt+Pu9gU7C19Va4ccOmSZ4U2b9woLGbNPeaJ7N9v3n+7bx8nqELJiMAVrCI0lCL333+BKVPccyna0QwYADzxBJd9PVnk1q/PCO20acU/T1Eo+ufMcY/IWUGSkhhx3bXLcdsMCwNatzZWt8C6den5dEXJLnO0aQOsW+f8/bhTPdzQUNtrkMfGqh4ncM1Fa70lgrt3b2Ehq6qsZV2qlD5jcjdE4ApW4+vLJKty5YAPP+QHztvp3x948knPF7ndu7OjW0llngICeDy+/NI9k87uv58lvhy5hN61KyOWRrGzKArQowewdKk++w8OpqBzdnmrgABG5t2heU3FirbXHy9XDh5nUbh2jddJXrzFg5ueXriZw+nT5ruaCeYRgSvYTJcuXI5+5x33jNQ5mn79WEmgXz/PFrkPPsjI24EDxT8vNpY+5XHj3C/SHxzM81hStNoafHxYZm7qVMdt016aNWP9Yr0qpHTqBKxe7fz9NGni2ORBZ5GQQHuPLYSGAtev+5b8RDeiqAiupwvc8+f5/VmQXbu4iiZYhghcwS6SkijqvvrKeF2b9KBvX+CZZzxb5GqVFSZPLrmyQv36QLVq+no9baVJE55DRyZV1qrFqPDRo47bpj0oCkXmqlX67L9ePWDnTudPgBo3do9GJPZEcAtm23sC5gTu1aue36a2qESynTtF4FqDCFzBbmJj2RRiyRL9ljuNRO/ewLPPUux6alm1kBD6bC2pj9y7NwWdOyadjRhBIW9rhylzDB1qLP96+/Zs5qFHApyiUPQ7u8JE6dK0hhgpyc8cZcuy+5o9GOW6cgTmBG5aGj3tnszevYUFrqrSHhYaqs+Y3BERuIJDCApie9/UVOC77xwrCNyRO+/k8ejfX9+2qM6kQgVGqr/6qvibat6ks5QU143PEYSH04rjyM5fZcoANWu6poKAJfj5sdLAhg367P/224EVK5y/n+rVjV/i0MfHPhFeqlSOYTzejsCcBzcry/MtCufOFbYoJCezVrJgOSJwBYehKPQY1qkDvPeeeyR1OJM77wSef56lxDxV5N52G4XDnDnFPy8w0JR05uzap46mbVsW4Le1jao5+vYFFi0yTnfArl1Z4UGP6F9cHCfGzr4uGjd2Dx9uqVK2V7YIC8sq0TbkTnhLxYS8XLkCREQUtpzs2MGKIILliMAVHE6bNqwl+v77tvvJPIWePYEXXmApMXeLXlpKr17AmTPA5s3FPy82lsfB3ZLOFIVNTiZNcty4AwKAO+4wjjc5KIhLonrZSFxRE7dmTZY3NDr2+HDDwrKQmuo5ZlxvFLg7djB3oSDmyoYJxSMCV3AKVasCzz1HUbBli96j0ZcePVg7+K67PFPkKgo7ui1eXHIGeMOG7M7z22+uGJnjiI4Gmjalz9xRtGxJ76lRIm533gksWKDPvlu3dn5NXB8f+hf16t5mKQkJtq8WeFoENzPT+2q+movUais9AQGuH487IwJXcBqlSzP5bONGYPZs94raOZru3XksBg70TJHr78/qEd99V7I1pW9fLvnv3OmSoTmMHj04WXNU3VZFYb3dKVMcsz17CQtjjc2Syr85g1KlaGNxduWRRo2MX02hXDmuiNiCpwncgiXBsrL4XePJXLgAxMTkf0zKg9mGCFzBqfj703vp729Zxr0n07Ur8NprnityIyJYdeCzz4pPMtSSzmbNcq/joChscDJxouMma5Ur8wbu7CoClqJn+9527VjNwZk0agT8849z92EvcXG2V1IID/csiwKQ34uanu7ZFRRSUszXv922jWULBesQgSs4HUUB+vThDeztt42zJKsHXboAr79OL6q95YCMSNWqQOfOFIHFERTE9sZffulek54KFZhUV1InN2u49142fzDCCkd0NM+NHt75Ro2cnwTmDuXCgoNt7w5ZqlSO4S0Y9mCuu5cnYc6eoKq0rEgHM+sRgSu4jEaNgIcfBj79VJ9lUKPQuTMwZgw9uZ4oclu1YjS3JL9quXKMGI4f75JhOYx+/YCVKx3n5QwPZ0cxvZotFKR/f3080v7+LKFm6/K8pVSrRouMJ+JJzR7MTfguX+YkxVPZvr2wwD19mhNrTzq3rkIEruBSKlSgF3XePNfUvjQqnToB//sfRe7p03qPxvHccw872+3aVfzzGjdm1PD3310zLkfg5wcMH84ESkfRowcFbmam47ZpKwkJFO96RALbtwf+/NO5+2jQgJEyIxMaKmUWb9woXEHhwgVOgjyRnBx+/gtaMLZuFXuCrYjAFVxOqVIsnXXmDKN33toUomNH4K23gEGDPE/kKgq917NmlRylHjSIiT9GL8Kfl2rVeKN1VIUQPz96s3/5xTHbs5eePVkVw9XUrcuJkTPtGq7onGYvcXH2RbKNYHexl7S0wnaEixc9V+Du22e+DJi057UdEbiCLigKW5YmJXl3U4gOHYB33vFMkRsUBIweTZ9tcZ5CTQz/+KPxSzjlZfBgJmRdv+6Y7d12G3DqlDES7xo0YN1NV/ujfXyAKlWAI0ectw+t1JKRvd/2JJoFBblfMxVzXLlSWOB6cgR3yxaWIsxLejqvVykPZhsicAVdydsU4uhRvUejD+3aAe++C9x9t2O7ZRmBmBjgvvuAsWOLjyqFhrJCwdixxk4AyktAAC0mP//suG3ed59jt2crisLJ15o1rt93+/aOTeIzR+3axo7ixsXZPuEND4dHtOs1F8G9dAmIjNRnPM7m6FFWVcnLpk1soy3YhghcQXeqVmVL28mTgQ0b9B6NPrRtS5F/zz0lN0twN2rXZoJhScKtShVOeIxSF9YSGjYErl4FDh1yzPYqVmQEzghJmO3a0Q/r6uXuqlWB5GTn7rdhQ2P7cMuVsz2CGxamutVKSFFoLWvzkpsL+PrqMx5ncu4cULZs4UQyc1FdwXJE4AqGICICePll+u+MUjLJ1bRpA3zwATBkiOeJ3C5duGxaUgJRx458nrPbtjqSBx4AfvoJuHnTMdsbMgSYPl3/z4C/P1uGuroxgqIAdeoAe/Y4bx9Vqxq7koI9UVhPieBeuMAEVG9gy5bCiWSZmRT0ISH6jMkTEIErGAY/P2DUKC5rf/ih7bUg3ZnWrfneBw/2PJH7wAMUuCUlkz34IKsqnDrlmnHZS0QEo50LFzpme6VLU+AZYTWjRw/Htie2FGfbFBSFya4ZGc7bhz3YUxLKUwTuxYv5BW52tud2MTNX/3brVone2osIXMFwdO0K9O7N5Ctn18Q0Iq1aAZ98QpF77Jjeo3Ecvr7A008zmSw1tejn+fkxOW3cOMclcDmbzp15k3JUG98+fVjFIDvbMduzlbAwJvU4M+nLHHFxPJbOrLBSr57x20XbEsUPC1M9QuCmpub326amAlFR+o3HWWjfcQVLoon/1n5E4AqGpHZtiqFx44zfWtMZtGjBhhhDhniWyA0NBR59tOS2zVFRFPhff63/Ur0lKArbFE+a5JjxBgTQ1rFokf3bspfevfVp/KCVDHMW9es7d/v2EhpqW4Q5JMS4kWlruHkzv99W86l6Gtu2MUchL1lZXMEs6EEWrEMErmBYoqOB117jUuX8+e4hdBxJ8+bAZ59R5Lo6guZM4uMpmsaNK/6c1q3Ltrh6iCtbqFABqFTJcf7h9u3pf9W7hF6FCowyFRd1dwatWwPr1ztv++XLG9sGEx1NH6q12NPq18icPs3IvqexYQNX7fLyzz8sGyjYhwhcwdAEBABPPUWz/dixxq5d6QyaNQM+/5zlo4ycFGMtjRuzJM68ecU/r3dvVigwcqQtLwMHMurqiAiaorCqxowZ9m/LXu64w/XR5Lg41gR2Vtk4o/two6Nts7x4gsDNygICA/M/dvo0JyWexI0bnDwWjNSuW1dY9ArWIwJXMDyKAvTrx1Ja77zD5ANvomlTLunff79nidw+fZhIV1yWvqIAjz/OqgLucN79/WmtcFSps6Qk4PJl/SONdeoA//7r+glm7dpsOOHM7Ru1Hm5MjG3XvCcIXHMNHTzRorBtGyf7ecnM5Pnz1IYWrkQEruA2NGoEPPwwvalGvSk5iyZNPE/kKgrw2GPsBlZcMmFQEJ/35Zfu0da5bl0mhzmqlq0Rmj8oCitFrF3r2v22bu3cahJ16hh3daBMGdsiuJ7QycxcibDsbM/r6LV+feFI7caNEr11FCJwBbeifHnglVcoipYv13s0rqVJE4q8++8vudSWuxAQwIoJX31VfNSpQgWgWzfg++9dNzZ7GD6cUVxHCPK4OIodvYWYVrrLlV74hATgxAnn7bNyZeN2UCxThp27rEVR3KcbYFEUjNZ6Yv7FjRv8zitdOv/jGzYALVvqMiSPQwSu4HaUKgW88AK/BMePd4+onqNo1IiVBYYPN0a3K0cQHW1ZO9+WLenLW73adWOzlbAw4PbbORFzBIMGATNn6nujDwhgt7l//3XtfmvWdN617uNDW4kRI55hYZ5Rz9YWTp3K77dNTfW8Jftt2wo3d7hwgVUwgoP1GZOnIQJXcEsUhaKoTh3gvfe860bQsCFF7oMPeo7IrV2bhc6nTy/+eUOHclnPHapKdOhAK42tLVfzEhbGm+GaNfZvyx70SDZztk3BmQLaHnx83D8SaytnzuSvmFDwd0/AXPWEP/7gSongGETgCm5N69YUuh98YNylRmfQsCHLbD34oOf4kbt3Z//54sps+fgATz4JTJwIXL3qurHZglYb9/vvHRN57dkTWLFC3+YPsbHcvy1L57ZSuTInNM6KXiclOTeRTbCegn7bkydpU/IUrl0rbE9QVWD7dn63C45BBK7g9lSpQsvC5MnGaG/qKho0AL79liJq3z69R+MYRo4Eli0rvk1xRAQtGl9+aXxvXlwcr09H1Mb192fzh8WL7d+WPXTrxlbKrkJRgGrVnJdcWa0akJzsnG0L1mPuM33sGGtMewrr1zM4k5cjR/ge8za3EOxDBK7gEYSHAy+/zEScqVONL3wcRb16wHffAQ89BOzZo/do7MfPj3WPv/uu+AYHiYn0I8+a5bqx2cqAAVzWd0Tb4fbt2aM+M9P+bdlKgwb8nLnS+96qleMaaBQkIIDlz4z4nREYaJs/WFEcPxZXYa6CgqeVCDNnT1i5EujUSZ/xeCoicAWPwc8PGDWK9SM//FBfEeBK6tZlst2oUZ4hckuXBh54gGXRbt4s+nldu/LGt327q0ZmGwEBQP/+jmnYoChA374lN8hwJorChL+//nLdPhMTnVs5pHx5x3ilHU1EBG073sTp0/ntCKrKH3cW7Xk5d47nNSjI9FhWFm0YVavqNy5PRASu4HF07coOWO++W3x9VU+iTh3PErnVqwNt2gA//VT0cxSFdZFnzzZ+E4jGjVnTtDjrhaU0asTlelf6YAvSqRMjTq5CUWzv7GUJNWsa08teujQbfXgT5iooREXpNx5Hs2oVK6zkZd06ft8JjkUEruCR1K4NPP00Parbtuk9GtdQpw6Tr0aN0r9mqiPo0IH/Flc5IDAQePRR92gC8cADwI8/2r8UriimsmF6ERxMf7Erq1k0awZs2eKcbdeo4fryZ5YQGmp7MqURLReWcOIEEB9v+v3oUSYaegKqygBEnTr5H//zT3bqFByLCFzBY4mOZlOIDRvo1XTXL3xrqF0bmDSJkc2dO/Uejf0MG8boxqFDRT+nQgUmXxUX7TUC0dH0TDui1FfNmvQo67lC0b07sHSp6/bXsKHz7CjlyhlztadUKdusVu5cYuzcOZ4PDU9KMNuzh1U78totjh7l+81rWRAcg9sL3EOHDuGRRx5Bw4YN4efnh7p16+o9JMFABAQATzzBSMjHHzsm0cfo1KrF0lSPPmp8f2pJ+Poy6eyHH4r3IrZuzQmM0ato9OrFpf2MDPu3NWRIyXWDnUnFikBKius+U0FBFG3O2J+imJLNjERIiG0C18+veP+6UTHnt/WkCO6qVYUTyZYu5WRRcDxuL3D37NmDRYsWoXr16khKStJ7OIIBURTWEO3ZE3j7bWNGahxNzZoUuY8/7v4iNyyMtosvvijehjB8OEuMnT7tsqFZjZ8fMHgw8PPP9m+rQgVaNIqLbjubdu2AtWtdt7+GDYEdO5yz7apVjVcuLDjY9giuOwrcixcLV1BIS2OVHHcnI4OT9LzR6evXmdzoKQLeaLi9wO3VqxdOnDiB2bNno1GjRnoPRzAwdep4ly+3Zk16Ph9/HPj7b71HYx+VKtGGMHFi0c/x82O0ftw4Y7Ze1ahThzc2RwjTe+5xTHUGW2ndmjU9XYUzfbhGrIcbEmJbtD83lyLX3ThyhHWjNa5d85yle3PJZWvXcpIoOAc3/Ajkx8cdP8WCbnibLzcxkd7UJ58E/vlH79HYR8uWjOYuW1b0c6KjgYEDWUfXyAwbxsYk9voky5QBEhKcF9UsiYAAZry7ShjGxtIW4YzPbbVq+kbDzVGqFEWetaiqZwjcQ4dYUcXdUVVg0yZO0PI+9uefUj3BmfjpPQA9uHHjBm7kCfGkpaUBALKzs5GtZx9MF6O9V296z4CpvNTSpQo++EDB44/nekyUwByVKjHx7IEHfDBwYIRbn++77gI+/tgH5crlonZt88+pUwfYvVvBkiVA587GnMGEhABNmihYvBjo1s2+MfbpA3z0kQ9q187N51101ef79tuBxYt98PDDrslqqlRJwf79qsOFT2gocOGCD7KzjZOd5e8PpKVZNqa85zsnxwc5OcZ5H5aSnOyDbt1yb7Wj3rtXQWKiqmt7akewcydQs6YCVTW9l507gerVFSiKbe/PW+/f1rxfrxS47733HsaMGVPo8WXLlqFUqVI6jEhfli9frvcQdCMkJAwjRlRAjx5HEBVl4HVtBzBsWCl88UUjAJtRvbr7Vo+vXt0Xb71VA717H0J4uPkvu9BQYOrUGjh+/CTKlTNmx4/cXGDq1FpISzuEkBD7apzdvBmHTz65gaSk1EJ/c8Xne/36mihb9iACApwvqq5dC8XEiRFo1+6Uw7d9+HANLFhwEL6+xpgY5eQo+Oef6li82PIuF8uXL8e+fTWwdOm/bhfF3bGjJtasOXDr98WLq+OOO5Jx4oT7ifW8zJtXHZ07H8Pixabvq9mzE9G9+xEsXmzfZ9/b7t+ZVpjSvVLgvvTSS/jPf/5z6/e0tDQkJCSga9euCPcEN7uFZGdnY/ny5ejSpQv8/f31Ho5uDBwIfP11dSQl5cKTbdzZ2dnw8VmHH364HZ98koumTfUeke00bw6MH18NL7+ci4AA889p2xb46KMaGDQoFyEhrh2fpdSsCaxYUR133WXfDfz224G33/ZB9+65t0SNKz/fpUopyMmp7pKI+c2bwLvv+qBnzwYO33ZqqoI6daobpqOUqgK7dvmgZ8/EEp+b93z/808g7rijult1/8rIAPbt80HPntVuPbZ1qw/69auh46js5+JFvq9Bg0zv48QJ4MgRH9x9d8nntSi89f6trbhbglcK3MDAQAQGBhZ63N/f36suFA1vfd8acXHA668D337ri2PHuAzuTjcGayhb9hqmTMnFsGH++PRTCkV3pFIltr+dNMkXTz5p/nyVKcPmCt9954vnnzfmOU1KYvLJ0aO+SLT9Xgd/fyZ8bdjgi44dC/7N+Z/v9u2Bd94BevRw6m4A8L2WKgVkZ/vC0QtuNWuy21zNmo7drj34+AD+/r4WP9/f3x++vr4ICLD8NUbg6FHW8dbea2oq265b896NyMqVwB135H8fS5bw+8sR783b7t/WvFc3W8AQBOcQEMBErJAQz6+XW6kSMG0a8J//MPHBXWncmKWyFiwo+jk1a1JE/vqry4ZlNUOHAlOn2p841b07sGKFPuWhAgJ4LlzV2axePWDXLsdvt2pVtkF2d9wxeXb/fnaU0zhwIP/v7kh2NrBvH5C3PP+VK2y/XLGibsPyGkTgCsL/oyicaffoAbz1lmfXy61UiU0Cnn0W2LhR79HYTv/+bLFaXGviO+9klv+ePa4blzVERACNGjGSaw/+/rRl2LsdW+nShdEqV+Cserhly7JKg5GwZeXBiKsVJZGczEoWGrt35xeG7sgff3B1I+/5WLyY9xnB+bi9wM3MzMTs2bMxe/ZsHDt2DGlpabd+P3/+vN7DE9yQunWBZ54BvvnGs+vlVqzISO5zz7m2lqkjURTWvp0+HbhwoejnPPYY3+vlyy4dnsX07AmsXm1bUf+8dO7MVsDFNcRwFlWqsK2qK/ZdvjxwyvE5ZlAU94x+ujuqyi5yef30p05xVcBdUVV+Fjt0MD124wawdy/QwPH2ccEMbi9wU1JScNddd+Guu+7CmjVrcOLEiVu/7zFqyEYwPNHRwKuvUvh5cr1cTeS+8AKwbp3eo7GNoCA2s/jySxRZbic4mKXhxo41ZocnPz96v+1t2uDnx1ageiVWN23qmkmhotBjXdSkxh4iIopvCy04nrNnmQuhkZ5Ou5g7RqI1tmzhSkNey+jSpUC3bu79vtwJtxe4lStXhqqqZn865J06CYKVeIsvt2JFCquXXnJfkVu+PK0I48cX/ZyKFdk1aNo0143LGho0YMb1yZP2badDB57HrCyHDMsq2rdn1MoVNGzonDbUlSoxEm0UPHVynZeCftu9e1nP2p1ZsiR/0mVWFkVv69b6jcnbcHuBKwjOxFt8ufHxwMyZFLl//qn3aGyjaVMgKqr4TmcdOrC3vVFbFw8bxs5z9ogaX1+ga1fg999dHyaKiOC/roiANmjgHB9uxYqspGAUbIn2uZsoLui33bWLiYTuyoED/E7NW57w99/pU5foresQgSsIFuANvtzy5SlyX3nFdVE4R3PPPTw/Bw4U/ZyRI4G5cxktNRqxsczk37zZvu20bQts2aIgO9v1X/EdOjC5xtlERHCy4mgxV7GisSK43sD58ywJpnHyJAWiuzJ/PjsMamRlAX/9xc+l4DpE4AqChXiDL1cTua+95p4iV1GA0aOByZOLTigLCAAefRT46itj+nEHDAB++80+i4GPD9C9u4qtW8s6bmAW0rgxsHWra/ZVsSKL5juS6GhjTn4sRVXhVh3MLlygn1rD3f23p07xOyY62vTYihVsxuJO58UTkMMtCFbgDb7cvCJXr5JT9hASAowaxYSyojL6K1SgX9SIftyAANpi5s2zbzstW6pITo7AtWuOGZel+PlReCYnO39fdeo4vvybuworjYwMOLwBhjPZuROoX9/0+z//ALfdpt947GXmTCaMauTkMCjSvr1+Y/JWROAKgpUU9OU6o1yR3pQvD/zyC/DGG66rbepIKlViNYEffyz6OUb247ZsCRw8yKVbW1EUoGnTc1i0yPWKrXNn11w3SUlMSHI0gYHuO3lNTwfCwvQeheUUFLjbtsFtW6afOMEobd7yZsuWAR070hsvuBYRuIJgI3XrshvYhAnu3RGsKMqVA+bMAcaM0a/slD20acObSnF+UKP6cRWFHc5+/tm+7SQmXsKuXYrLxVrlykzUys117n7CwynoHE1cHEtXuSNXr7qXwL10icmhAO0Vly+bfnc3fvklf/T2+nVGbwu2zxZcgwhcQbCDMmWYlPX33xQjzr6hu5rYWGD2bEaq3VHk3n8/sHZt0cvlAQHAI48Y049bqRJr/BaXMFcSigJ066Zi6VLHjctS6tdndM7ZxMQ4vvtYXJxxKqZY6/V3pwjumTPsHqdx6BBQvbp+47GH48cLR2/nzwd695borV6IwBUEO/H3Z9JSXBzw3nvOiSjpiSZy336bpW7cCV9fJp1NmlT0eYmPN64fd8gQdmmzJ6GxZUsVW7a4vi5uu3auKTnnDB+ukQSutZ7gq1cVtxG4W7cCTZoU/bs7MWsWMGiQ6fe0NGDfPqBZM/3G5O2IwBUEB3H77fyCe/991yTYuJLYWC6/vfceC5i7E+HhwAMPMOmsqAi75sf95x+XDq1EIiIYCV271vZtKArrb7o6Al+2LJCaWnR3OUfh6QLXWtLS3CeCW9B/e+AAULOmfuOxlWPHuBqUtxvbrFm0K7h70qI7IwLXi0lNBdauraBLxyOjc/CgbRUEqldn29tp04DVqx0/Lj3RIrmvvAJ8953eo7GO6tWBFi2AqVOLfs7IkfQcp6bavp/ly+kpdCS9ejFybs/ntG1bYMOGoqtKOIvGjU11o+fPd05pvZgYx7fsjYqy7zqwlvnzHbetK1dMDTeMjOYLDwriv6mpnIzmLaWVlQUsWuT6sVnLjBnA3Xebfk9J4TXpzG5sZ84Ae/a4qVnZRYjA9WIiI4HY2Ey89ZYPNm70zLqutlKtGpNMvvjC+mzq8HDg5ZeZUTt+vOtFhTOJjmaN1vfeY9MLd+L224HMTGDjRvN/d4QfNzGRSYeO/Cz5+7Nqx6+/2r4NX19GqV1dEaNtW1P0OT3dPj9xcYSHO7Z7mqK49vvQkV7l1FQlX11Zo7JjB7vRaWzcCLRqlf85W7YYPwK6ezdzMcqVMz02bRoweLDz9nnzJjBhgg8qVLjqvJ14ACJwvRhFAWrWvITXXsvFsWPAO++wg4zAKMKQISw19dZbwJEj1r/+/vvZbvLtt10bDXI28fHMDP7gA/cTuSNGMBpa1HUeH09RNn26bduvXBlISADWrbN5iGZp2RLYv9++6HDHjvTEujKZrnRp4MYNTixatWIU2RnUqMFVF0fi66t/4qGqWi/w0tIo+I3O1q1sr61hrjzYunWshmJUVLWw9/bAAU5KK1Vy3n5/+QVo105F6dKy/FocInAFBASwxemoUbyxf/89b0gCBerzz3MJavFi66M6LVsCDz0EfPKJc+p16kWFChS5H37IiKe74OfHpLNvvin6Gu/YkaWKtm+3bR933cXal46OKA4ZUrzFoiT8/IDWrV3TRjcvLVuyjF6VKpwoOiMympgI/PuvY7cZGel4u4m1ZGdTLFmDLaLY1agqcO6cqYLC5ctsThEQYHrO1av0zBtZrK9bBzRsaPI8qyqjt/fd57x9HjzICXr79rLkWhIicIVbxMYCzz1H39y773I5U2wL9LO9+CIjUR9/zC9ea4iPZ4vfRYuABQs855hWqMBlxU8+Ab78Uu/RWE5UFG9AX31V9LkYOZJ+Y1si735+TGqbMMG+cRakenXe8O1JYNQaMLiynF2LFrxOFMUkch2NM7brah+uOa5dA4KD9R2DMzh4MH85sL/+4kQoL+vXc0JmVLKzgaVLgTvvND22ahWrQDjLA33jBpvXPPyw8ScxRkAErlCIBg2AN9+kkBszhrUJvR1FAfr1A/r0of90/37rXh8cDPz3v0ya+OILflF5AuXKUbx8+inw+ed6j8ZyatfmT1G+1sBAkx/XFjFYtSqPjaOX5O+7j1FcWydJAQFA8+aOt1AUR0gI/83IcJ5NISCAgsORk8cyZfRvAHL1KhAaavnzs7N9EBjovPE4ioLWg61bGVjJy6ZNvFaNyuLFrE6iRZ0zM5lY3LOn8/b500/AgAHuUyVDb0TgCmbx86OYe/ppfpC//tqxS67uSo0aTCBbuJARPmtuqIrCL6eOHenLdddOSQXRRO4XX7iXyL3zTkb9du82//f4eEaQZs2ybfuDBvGzk5Zm+xgLEhXF5fgtW2zfRrdurPbgypWEpk0pYmrWdF6iWUyMfa2NCxIV5TqBW9S5uHrVNEGwhLS0AJQpY+wlIlXlKkSVKvz98mVOKLVqCgArEISHw7BiPS2NnuH27U2PzZhBe5Kzmjpo1UjctY2xHojAFYqldGl6Fjt35lL0ggX6J17oTUgI8OyzjKy8+671wr9BAx7TceNMX1ruTrlyjLiMHctorjugKMBjj9F3XtRSdKdOnIgUJYKLw98fGDYMmDjRvnEWpG9fVrKw9XMYGMjo9Y4dDh1WsTRvzutDUWhtcUYyq6MTzcqUcY1FITc3f2msvGRkWBfBvXQpKF8tViNy8CAnadoS+x9/5BeKALBiBT97RmXKFODee03v4dQpTobyVoVwJKmpwLx5/D4RLEcErmARNWvSrhAURPvCrl16j0hfFAXo3p1fch9+aL1YiImhL3fjRs78PcGXGxtLEfPVV5wMuQNBQexC9+WX5su5KQr9btOn29ahLjGRQmnTJvvHqhEUxOVdW+o0a9xxB1chXEV4OG05N244z6aQmOh4geuKCO716/mjl3mx1qKQmhqIcuWM/WVS0J5QsHpCbi4nlPXquX5slnDwIMeoNaRQVXZKdJb4vHmT36mPPGLciLZREYErWIzWEenFF3nD/uQTxxdYdzcqVwZee43ll6ZMsS6qFhAAPPEEs7U/+IDRGncnJobXxrhxFP7uQHw8a+ROnmz+78HBwPDhfE+2TEQGD2bE1ZEtnLt0YeTLVi93RARrGruy457W9KFOHedUFElIAI4fd9z2QkNd03b7+vWiE8mstShcuhSUrx6r0dDsCVWr8vejR/n58/MzPeeff4DbbjNmEpWqAj//zBKQGitWMHIbG+ucfc6YwdKF8fHO2b4nIwJXsJqQEJa+uusulluaNcv1fe6NRFAQ8OSTQMWK9NZaK/q7dWMC27vvsuWjuxMTQ4/od99RuLsDbdowKrN+vfm/JyZyCXzxYuu3HRAADB3K8nuOwteXUVh7OmD17Wtf8whradGC2fK+vhSPjvb0+/pSgDhqNcRVAuvataIjuNZ2JbtyJRAxMY4ZlzPYu5f2GO3Yrl5d2IqwYgUnnEZk+XKgWTPTObl8mY1MevVyzv62b6c9oWNH52zf0xGBK9hMxYpcZq9QgfaFzZs9Y6ndVtq3Z3mpL76wfkm6Zk3W2/3pJ0aD3Z2oKIrcCRPcR+QOH84b2KlT5v/ety+tKLaUo6pVi5nP9iSHFaRFCwoGW5PYypWjqE9JcdyYiiMqihHR7Oz8LXwdiRFq11pLcRaF1FQeN0tR1fzRUKOxcqVJ0N68yWhutWqmv6em0o9curQuwyuW9HSK2e7dTY99/z2/N4ryUNtDaiobOowa5fhtewsicAW7UBRmmr/+Or1J773n3d3Qypfnsdi5k8lF2dmWvzYiAnjlFX7pe0KL36goTnomTGBk2+hoTSDGjTPfnllRgMcf53m1tn0zwBJfv/7qOCuKorBSw8yZtm+jTx/XRnHr16d/31kCt3Jl91sFKa7W7eXLlou9nBxjLutr3LjB96Mlwf39N723ece8fDkTmo3ITz+x2YpWJWHbNk6oNLuFIxHfrWMQgSs4hMBAJlyNGMGEnAkTrG+I4Cn4+zOSW68e8L//AWfOWP5aX19GBLQWv+7ucdZE7k8/seWx0YmKYle/ovy2ERG05thSGSEggH7cory+tlC7NiM9tpacS0xkRylXeE0BU7mw8HAKfUdP4ipXpq/TUfj7WzdJtYWrV4uua5qba3nZqVOngDJlrjluYA5m48b8zRwKWhFycjj5adjQ5UMrkR07+PmtXZu/X7sGzJ3Lz7Mz+PFH2hISEpyzfW9BBK7gUMqWZTe0li25NL14sfeWFWveHHjqKXpRrbUdtGzJpanPP3dtOSdnoIncyZPdQ+TWq8c+8osWmf97w4YUaGvXWr/tunUpWhyZZHXvvWwPait33FH0e3U0FSoAJ05w8pCUBOzb59jtV6rk2AhuaKjzJ+ppaY5pR3v8uILYWOMK3HXrTJ3Jzp1j1Drv+9b+brQo9PXrzDPJm1j2/fcUt0VZS+xh9WpOatq2dfy2vQ0RuIJTqFuXvlw/P+CNN9xfpNlKdDSrLBw7xlJU1ixtly/P165ezS9Yd/Y3R0Yycjd5Mq8Lo9O/P7BnT9Ed64YMoZ/w3Dnrtz1sGLuROSoyGB/PFRRbOw7edhvfqysSRRWFUamTJ9nS1JGeZIARdkc21tBT4ObmWif2jh0DYmIyHTcwB5KSwuTkUqX4+9KlTK7VUFWWvTNi7dupU/l9oInZrVv5eatb1/H7OnyYJfTyimnBdkTgCk7Dxwfo2hV46SX6lT74wLrlek/B15dZ9G3bMoJpTZJSYCCjwOHhwPvvu7ftIyKCN4epUznpMTKKwhJukyebz/b382OTiHHjrF9mDw1lO89ffnHMWAFGk2ztuKYoQLt2rktu1GwKVao41k6goSi2tVc2h54CNzWVtXgt5dQpxbAWhaVLTclZ2dmcjNWqZfr7vn1A9erG85sePEj7jtZGOD2dDRecIUCvXGFkePRo5ySteSNyGAWnExICPPggRd7kycAPP7Bvt7fRsCErJcyYwY5wlkZktaYSAwcyic+VtUsdjSZyZ8xgdNrIhITQJjJ2rHnBFBvLerRTp1q/7VatuFR/4oT94wRoAylb1nbrQ/v2rKvrilWCunXptVQURvYd3S2sbFnbIuvm0FPgnj0Lq2ra3rgB+Psbb5knO5tCURO0Gzbw+s8bnV64kFYZI5GdzdyBESNMj02YwByJgADH7isnh9V3Ro4s2o8tWI8IXMFllC8PvPACl0TffRdYtsxxkRZ3ISKCjTIARmStqQWamMjXTp/ObGN3JTycEf1Zs1g1wshUrkxfYFEitk0bCqDt263brqLwxjlpkuNE5cCBwOzZtm0vIIB1fvfsccxYisPfn5G6jAxO+hxtX4qLsz3priABAc63bqSnm+9WdvYsxbolOMrH6wzWrzd5a1WVyWV567qeOsXjbE202hX8/DPr22qCc906no/ERMfuR1UpnG+/nd83guMQgSu4nIYN6cPMyeFS9e7deo/ItSgKvzjvuYfdvqwRR2FhtHxcuMAyMu7aYCM0lCJ3zhzji9xOnShii/KLPvQQ7QbWej+jo1k0fskS+8cIcPJUpYrtgrFnT9saWdjCbbexY1WDBo4XuOXLO84KFRDg/CoKqmrea3vunOUR3IMHgerVjRe9BYA1a4AOHfj/XbtY8ztvctacOcCAAXqMrGh27+YErHlz/p6SAvz+O8vyOZpff2VzHC0BT3AcInAFXfD15Q31hRdYPubjj11XcN4oVKnCmrkbNtB7ZamX08eHnstWrejpdVS0ytWEhtKuMHcurwMjM2IE2+2eP1/4b4GB/Ps331gfPe3RgxUmHFUOrn9/egRtieKWKcPPpSs+h1rkNiqKjRkcaY2IiwNOn3bMtlxRJqworIngHjwIJCYaT+AmJ3PCoQnahQuBO+80/T0lhdYKI5XDysjgKplmTcjJodf+sccc30Rj40Zeq0YT+J6CCFxBV0JD6TsaNIi1RadMsa2IvrsSGMgvzlq1GNW25sbcqBFbBI8bR5HkjoSGMjL622/0JxuVgACep6+/Nj8RqVqVS5fLllm3XUdbFUJCgDp1bL8eXFUyLDbWJKQrVHCcIC24bXtxtsDNzCy6yUNGBs+nJSQnc8JsNObPN7WxPX6cNoq8jStmzzaeuJs4kU1ZtPMyfTpXcbQGFY7i4EFWYnn4YeOVRvMUROAKhiAhAXj5ZRbSfustloxx57JY1tKqFaslTJzILz1L33tsLJO1tm3j5MAdPc2ayF2wwNgiNy6OSWVFNWro14/CsqhWv0WRkMCfjRvtHyMA9O7NSJktn5+aNVnZwBWTzLJlGaVs2NB6D3Nx+Pk5roGEswXuxYu0qhTEmnOnqrQqOTrxyV5SUngeNGH466/snKdx8SJzEJzRCcxW1q3jqoLW0GH7do6xXTvH7iclhc0cnnnG2K2V3R0RuIKhaNKEkcz0dPpzXZH0YhSio4FXX+Vy9WefWd7S1d8fePRR1kN95x3rEteMgiZyFy4E/vMfvUdTNK1b86a9aVPhvykKz8N331kvsO66i5FTR2TsBwWxrNH69daHhRSFCUBr1tg/jpLQbAp16zreh++oUmH+/s71uZ87x0lqQVJSLLcnnD5NG4DR+O03oG9f/j8lhZOmvFYEo0Vvz55l8q7WnezKFXrrH3rIsftJT2fFhNGjLY/QC7YhAlcwHH5+nOk/9xz9qR9+6D31c318aNfo2ZOVJqzp9NSxI0uxffhh0Q0KjIyWeLZsmbFF7gMPUIibWwaPjmbtZ2s7i/n7syPZTz85Zow9ewK//67Y1EWwTRtmvjt7BaVePWDnThb/v3bNsfvTvL324shosDlOnaJFoyDHj1vuS921yzlNB+zh6lUKb63iwC+/cBKncfYscPkyK3cYgexsWr0ef5zn/OZNU9kuR3Yru36d+SYjRlg+gRFsRwSuYFjCwvgFc999XH6fOJGzX2+gVi1aNpYsYc1YS6NRlSvzdb/9Zl2tXaMQHMxI7rJlwNNP6z0a8/j7swnEV1+ZFz9t2vDmbW1UMimJ/zqifW1AANCqlYrdu82sf5eAnx+L7h84YP84iiMsjKsUqsoIpCOTJcuU4RK4vRRV4cBRFCVwjx0DKla0bBt79hhP4C5ezEkWwIng1av5PcIzZpgipUbghx/oP9ei6ZMns/KDI8t25eQAn35KoW8kW4YnIwJXMDzly9Ob2aIFo5Pz5zs3qmIUQkLo0YqJoS/Z0kz7kBBGv7UvVHdL2tNE7sqV9CUbkbJlWQHhxx/N/33kSCanWGoz0bj/fkZ/bYm8FqRLFxW7dsXYtK2uXVkWydlUqkQxl5Rke5MKczhK4ObmOrer1IUL5j24R45YljSmqpz0G6kGbmYmo8pa96+C0dujRzlpsFTAO5sNG3iOtZJg69bx8+dI362qckLcsaPxJiOejAhcwW2oWxf43//4Zf7GG0zKcbcIpbUoCguAP/QQl8w2bLD8df36sd/7W29xydOdCA6mXWHVKlaKMCItW/Jfc8lhwcEUq999Z901GhbGyNHChfaPz88PqFXrItautT4EGRdH4eTsLl6asK1d27F++6go9xC4gPkIsaUVFM6csa7bmStYuJCVExTFFL3NG7E0UvT2zBm2ER4+nL+fOMHvHO13R6CqrJKSlGT6zhBcgwhcwa3QkmBef51fRm+9xXIrnk6FChT1Bw6wVNWNG5a9rm5d4L//ZaRx9Wr3qkUTEECRu2YNvXFGZPhw2kjMLa/XrMnVB2sTtjp1Yva2IwRagwbnsXKlYlPCVadOwOrV9o+hODSBW6aMY1v2OjKC6+tr/3bMcf26eX/nlSuWR2T//ptNM4xCRgatOU2b8vdp09jQRmPXLkaszSXWuZrr1/ldOno0J4MZGcC335p+dxTTprE0WteujtumYBkicAW3JDAQuPtuRveWLQM+/9xxxfKNip8fE5xat2YkOznZstdFRrI6w5kzwKJFVdyq+5kmcteuZR1ao+HnRz/u11+bLyd1113AH38wW95SFIXC+Ycf7B+fv7+Kpk1VrF9v/WubNWO1CGeukoSFmaLE4eGOqwDiDhaFU6fMVz84dMjydrA7d7IbnFFYsMAUvU1O5rGrVIl/y80FZs40RvRWVYEvv6T4jo6mJeHzz4Fhw/LX6bWXWbN4DAYOdNw2BcsRgSu4NZGRjO7168fl4ClTmJHtyTRsSE/yL7+wzaUlAsTHBxgyREWtWql46y0fq2u16klAADuerV8PPPKI3qMpTGwsuzOZE6S+viwd9u231vlqK1XiMvvff9s/vm7dVCxbZr1Q9fNjFNoRSW/FERPDpewaNSjuHEFoqGPsFc4UuMnJ5pONDh60rLpAVhavKUdm+dtDejqvlSZN+Pv06cCQIaa/L1vGBEwjlMaaPZu2GM0PO2kS0L69Y6s6zJvHlba8EWzBtYjAFTyCSpWAV17hkuc779BX5YhEHaMSEUGRGxJiXQJatWpX8NRTuZgwgVFRd0GL5P71FzBqlN6jKUzz5hSE69YV/lvZskxY+eUX67Y5ZAgnMPZG3AMDOSkyV7u3JLp1c36ymWZTSEx0nN3IUZUPbtxwnoA8dIjVKgpiaYLZ7t3GSljSkskUhRab+HhTAl1GBieoRlim37aNq1l33MHfFy3i6kGbNo7bx4IFLFN3333SpUxPROAKHkXjxmwUAQBvvskvM09NRFMUoHt31lT84gvLBavWUOLwYUYWndmpyZH4+fF8btnCKgVG4/77gRUrzNds7tCBS9LWRCiDgngTnjPH/rH17MnSTdZ+FmJjKU6srQZhDbVrM/JXpQrFnZEorpWuvaSkMHqdF1WlqLakK9nmzSavq96cO8f3U7cuAwuzZ+dflp8+nZYyZyfslcSJEyyh+Mgj/P785x/mNQwa5Lh9LF7M74AHHhBxqzcicAWPw9eXwu/ll9nw4O23PTsRTUtAO3qUPrLMzJJf4+dHn2ejRvTzOrIGqTPx9aVdYds2Cnsjoflxx40rHHVVFEaef/zRuohsy5YUffY2OgkOZqR02zbrX9u2LWzy8FpK2bIUSAEBzu0aZgvXrjlH4Obk8FouKICOHLGsRqqqcsIUH+/4sdnC1KlsVAIw6bJdO5MV4fBh2hfq1dNvfABrU3/7LUsvBgTw+3L+fH5mHSVE58/neRk5UsStERCBK3gswcH80n38cbZg/PRT9xFy1uLnxy5mXbrQomFpTdFmzZioN24cl//dAV9fRnG3bwcefFDv0eQnOppJNuY6koWFsUPfzz9bvj1F4Xv8/nv7VyJ69WIJJ2u306KFc68NRWFk7+ZNeuodVU3Bx8f+dr2Zmey05mhOnjTfqWzHDqB+/ZJfv3evqTGI3hw8SBtMQgKTBDdv5vcQwOP/44/6f06zstj+/JFHmESWkgJMmMCOiZZEyy1h9mzaEh56SMStURCBK3g8UVHMwL/7bgqPCROAtDS9R+Uc6tRh5HrZMibcWdIQIzaWZdd27WKyhTs00fD15Y10505mPhuJZs0oIjdvLvy3pk0pmqzpclauHFCtmuU1kIsiJITbsbbDWmAghacz22VXrMjl4+rVHZtoZq+1wlkR3IMHzftvtZrAJbF+vWM9o7aiqpywadFb7f+awFu0iCsAERH6jvGLL5iInJDAaPIXX7CJjCMaZKgqS4HduMHvIhG3xkEEruA1xMcDL7zAMluffsqkCEvryboTISFsc1upEu0HllRM8PPjslrt2kxaO3/e6cO0G19fJk7t2WM8kTt8OBNNzJWqevBBehKtqfbRvz+9ffYu4d95p21NJDp1YgF8Z6EJ28qVHdeUpFQp+wVuRoZzIrh79hSOwObkMIodGFj8a1WVkwFzEWBXs3IlqyaULg38+y/HX7Mm/3bhAi0xWjRXL378kaXUGjbk9/0nnzDK6ohavKrKtr5+fvmFvWAMROAKXkdSEj2rFSpQAC5fbv9SphFp145FyydNYia8JUvTrVpxGW/sWHpdjY4mcvftY8ayUQgI4HH8+uvC11apUiwd9P331m3vzjuBuXPtG1dkJK0SJ05Y97qkJB5jZyVsagI3IcFxAjcw0P4EysuXHVsXNe92IyPzP3bwoGX1b/ftsyzK62yuXmWN5549Kc4nT2ZiFcDr5Lvv6JPXU/TNm8cIfNeuptbl/ftbVqWiJHJzae2KiuLqoGA8ROAKXomiUMyNGcOb4Ouv09fpaRUXtIoJV68CH3/sg8zMklv0xMUBr73GJfaffjJ+uTVfX7bLPXjQtFRqBCpU4DVmrjxYvXoUYNZMIlq0oAi0N7repw9v/NagKLS/WGtvsBQt0Sxv4wd78fOzX+BmZTnOo6lhrnoCwM+bVkO2OFavZs1WvZk2jdUHfH3pP+3enecPYJnGunX1jTKvXMljPWgQxegXX3AlwhKPc0lkZQEff8z32KuX/dsTnIMIXMGr8fNjBOKVVyiQPLH1r48PMGAAMGBALubOTbSoeUBAAH3LlSqxCoUj26g6A19felQPH85fXF5vbr+dFhFzzRLuv59CMz3dsm0pCl8zebJ9Y0pIoA/Y2nPaoQPw55/27bsoFIU/qmr6116MWJUBoNfdXEWBw4fN+3Lzcv06bS8VKjhnbJZy4ADHUrcuI+7HjtH6BdCrvWUL0Lu3fuPTklC1mtlffUX/e/Pm9m87IwN4/31+to0w0RCKRgSuIIDLWEOGsKLAihX0aTkzqUYPqlYFBg06gG3bfDB+vGU3/w4duMz4ySeO6arlTHx9mXxz5Ihj61rag6IADz/MhL+CkcmAAHp1J0ywfHsVKzJKZm8k1RYvblwcI2LOSkKMjWV0umxZx1Q7sVfgOms1x1yDhtOneXxLWs5fv94kJPUiO9tkR8jNpQVKK4uVmwuMH89rXi9rwu7dtGSNHs3fv/uOlo527ezf9qVLFLeDBrHmumBsROAKQh4iI9laddAgZgR/843xo5fW4O+fi5Ejc9GoEe0ZlkSr4+Np4di4kZYFI1dZ8PVlN7ETJ9hVyQiEhFDIfvNNYdGUmEhBZ01XuSFDgJkz7fON16nDiKG1ba0bNGDlCmcQH8/zplVUsBd/f/ssCs6ooKCqjMBGReV/fNMmy6KLRhC4M2ZwghQWxkTK1q1N72f+fFppypbVZ2z79rExyn//y9W5H37gdeWIRLdjx2hLGDXKlEgnGBsRuIJghvh44LnngM6dmUjw00+O8wYagSZNgBdf5A1p+vSSRWtgIOsJV6lCy0JKimvGaQu+vhSMZ87k76akJzVqMIJuru3toEEs62bpRCo0lN7eZctsH4+i8Ka/fLl1r2vTxnw7YkeQkMD6sJrQ1ZuUFMdk2uclOZml2gpSlG0hL6dOUUg6q3WwJSQn0yvdsiUF3+7dJvGYnMzGOnq14z1wgBO/55/n99XEifQ633mn/dv+5x+K5eefN0b1CsEyROAKQjEkJjJJq2FD4MMPmUzhKaXFwsKAZ58FypdnNYmTJ0t+Tbt2XH788ktjN4bw9WWG99mzxhG5/fszqezYsfyPayXaJkywfFm8WzdG8+yZdLVqxcihNZHg2FgKcWdE8RMSKGxjYx0zgbp5k9eBrZw5w8+GI9mypXB73QsXOGnx9y/+tUuX8rzrRU4ORd5DD9H6MWECffqKQl/qpEmcBOthTTh4kElvzz/PCcC333Ki5IgEsKVLWSLv5Zf1recrWI8IXEGwgAYNuKSvlRZbvNjYS/WWoihMlBg9mvUiFywoWWTFxdGysHs3/Xb2Zqo7C03kpqSwyLveKAoFwPjxhSdJFSuyBqylVgUfH0Z+p0+3fTw+PvQRWtu+97bbGNFyNFoXszJlzNcPthYtYc1WNF+sI9m/H6hVK/9ja9bQ614c165R/FtSRsxZzJjBaG3p0lzR6tOH50xVab+57z7HNE6wlsOH6QnWxO2XXzJZr0cP+7ar+YvPn3dsxzPBdYjAFQQLURQuzb31FpfA3niDNydPKC0WHc1KEr6+tCCUVIrK35+RnAYNKPhPn3bNOK3F15dllVJTgb599R4NBcGAAeZr4A4YQMvAlSuWbatuXdZTtaSRR1F06WK91aF1a0aPHY0mRn19HVOXOjeXIt5WHB3BTU2lAMw7JlVle94GDYp/7fLl+jZM2L2bk4527TghUlVTJHrJEtou9KjNe/gwJ+YvvEBxO3YsrR72Hqvr14GPPuKkc+hQaeDgrojAFQQr8fFhiZg332TLX0+poasoLJn24IMsq7N6dcnvqXlzRn/Hj2e01Ij4+nKJ8fJlRp30plEjThAKtvL182NmujVVFe69l0uzthIWxh9rRHJ0NI+lM+ojBwZSXAD2f57sFbipqYWbMdjDxo1MwMrLkSMUUcVZKXJzaSUp+FpXkZ7OlYJRo3je581j0iTAusw7d+ozedy7l5HbF17gdfPpp1yR6NjRvu2eOcMgxh138HtecF9E4AqCjfj7s9bjyy8zkjBmDFtwujsVKlC0nz/PKEZJEcWYGDaGOH6cwtiIHmVfXxZ+T083RmH2++8HfvuNgiEvVasC5cqxpq8llC9PX6C5OruWcscdjMJZQ61aXG53NDEx9KQ6ouHD9eu2J2SpKoWlIyN3W7YUbuSwalXJguyvv4BmzezzE9uKZj8YPpxL9GPHUugGBPB74Ycf9PHdbtvGagkvvcR9v/cej2PbtvZvd9w44JlnCpdyE9wPEbiCYCfBwWy9+p//8Gb03nvMKHZnfH3ZfnLgQCbXbdpU8vOHDmWW/f/+57h2q47E15dLvZmZFHV6EhBAi4e50mGDBgGLFlneAOKee5g9bmvEs1o1JhhqkVNLaN685GvCFjSBGxNjf8c2e8p8XbpUuJSXPZw9y+3l9XFmZfFzUlzbWFVlkpNe9oTff+f1kZhI322nTvSL5+SwM9jIkabuZa5i/XrWKn/hBX6Wtbq0lnSBKwpVBWbN4rZfe42rFIL7IwJXEBxEeDibIowcySS0Tz+1zx9pBKpWpdd4zx4mb2RmFv/8hg1Zg3LyZHo7jWbb8PXluG7c0F/kVq5M3+LSpfkf9/dnhHfSJMu2Ex7OaJOlUV9zdOxIP7mlVK7M5XVHEx1NYRsRQfuPPWRm2i5wiyrnZSt//lk4kezPP5ngWVz0c+tWnttSpRw3Fks5eJDNXfr3NyU/tmnDz/T48azoULmya8e0YgUj4c8+y+vkk0+ARx6xry5tZiYn8aGhbPQjyWSegwhcQXAw0dHAE08wqjBrFiMd7twVLSCAvtyOHYF33im5i1ZkJBPWLl8GPvusZFHsanx9eaPMygK6d9d3LH36UMQUnAjVrEnhumWLZdvp3du+yh5a4pilExJFYRkmR0/gtMhteLj9AvfaNduFYXIyJ3eOQFVZ5zbvkreqUjQWt6Suqqxq4og6rtZy5QqTt0aPZvWG1auBYcP4t0WL+B3niLa3lqKqLNGYnAw89RQnV99+S6FrT9vi48f5nda7N/MPJJnMsxCBKwhOokIFern692dXtK+/NnaDhJKoW5fCdc0aVgEorg2qotDi0L07byCHD7tsmBazfDlvnHqKXEVh57xvvy0sTu+7D/j1V9YYLYmAADYlsdZLq+Hnx6Vya85T06aFE+XsJTra5MG1V+DeuGF7NE5L/nIE+/ax0UfehLd//+X2ixvf5s36RG9v3qTXduRIfj6++46i0tcX2L6dY3dll8CbN2nl8fHhmDZuZMmyF1+03UaiqlzJmTyZK056VIAQnI8IXEFwMgkJ7IrWoweTMr791jF1PvWgVClGp+vVY1LdgQPFPz8piTei2bPZNc1olgWts5ieJZiio7ncW7CmbUAAqyT8+KNl2+nQgaLIEkFsDms7m9Wpw0x2RxIaSu+xIyK4ttbBVVXHtuk116Bh0SJGDIsbw8KF+iRE/vQTrRMVKtBm9dBDtIwkJ/Mz/MQTrot0XrsGfPABUL8+a1n/8gvLqr30Eltg20JmJleWLl/mhN2RlTIEYyECVxBcRNWqTIy4/XZGRSZOLJxF7y40bcqbzJIlFGDFRXPDwliE3d+fCXhGe89LlzKC2bmzc0pfWUKbNpz0FBSMSUn815IqCYrC1YJff7VtDAkJbMNa3LnMS2Agj5cjG574+XGb4eGW1wN2NGfOOK7Bw5UrjCTnbfmr2ZXKli36datWsXKCo0S2paxezX/btuWK0x13MLJ/9ixXbZ591nUe1dRU4N13KWybNaPVKziYnls/P9u2eegQV5S6d+cKk1gSPBsRuILgYhITWVqsdWuW1frxR8sz5o1EaCjw9NMUYWPGcOmyKLQau/feC3z8sfXds5zNkiUUbF276idyR40Cpk4t7FkeNowWF0uEZMOGtBnYGv1s1cq6ZDVnlAtTFAoZa6o6FOTmTdtr4O7Zw+i0I1ixghOnvMydy4lIUVy/ToFrbycua9m5kysAw4dzNaFGDVYmuHKFCaZPP83PvCs4csSUQFauHEVp27aMaNsalf/tN64kvfiiaeIoeDYicAVBJ2rXBl59lcXJP/2U4sbW5WU9adaMN43Fi7m8WVwEsFIl1tjdto0RbCO1+V20iMKqSxd9RG6pUpwATJyY//HQUC5xz51b8ja0KO7s2baNoU0by9sFA+zAtWOHbfsqClVllNDSSLI5Ll+2fel5zx7HCKCcHFYhaNzY9NiFC5zMFufvnTuXjRNsjVLawokTvGaefppR3MxMTkivX6fQfPhh15XOWruWE7oXX+Q4Pv6YNom8x9EaLlygQFYUrqC5uqyZoB8icAVBZ+rVo+hLSmK5mhkzjFd5oCTCwnhzrFmT0dyDB4t+bkAAo5X167Nm7okTLhtmiSxcSG/f7bfrI3KTkngsC9aYbduWx9SSahx16/J5qanW779UKdoDzp2z7PnVq3PZ19H4+9s3+TlzhpE/a1FVHjdH1MD94w+2ts0bSZ47l0vuRXHhAr2u9tR0tZbLl5kX8J//AP/8wwnLiBEUtx9+CAwezNq3ziY3lxPkAwdof1q3jqL7pZdon7GFP/9kwtzw4bZHfwX3RQSuIBgARQFuu43tf6tVY2LFjBnuF9Ft0YKRlwULmKFcnEhp1oxVJn76iT5YoySgLVgAlC7NovZ6iNx77+Vyal7biqJQdEyaZNlxuvtuYPZs277eO3SgMLAEX19OWOyxExREUSgK7bkeTp9mlzdrOXLEMeXBVJWR0Lxdys6eZQOJomq2qirP7/DhrhNimZkmK8CxYxzz6NH83H70EVcDXFFhICOD33nx8WwYM24cr/8XX7TNFpGezvd16hSDB/Hxjh+zYHxE4AqCgVAUJnC9+Sa9uh99BEybZn/bUlcSFsZoUPXqfB/FRXOjopjJnJnJ92oUL/Kvv3JsHTu6XuQGBFDkTJiQ//Fy5eh5/eOPkreRmEjv5OXL1mcE1atHP6al1KhRvP/aWhSF0Tx7OHXKtvqoW7c6Jnq6eTP90HkTsqZPB4YMKfo1f/3FSKWrxFhWFpf/77uPn7/585lElpvLz2Lv3q5pV3vsGJPJBgzgCsbbbzPybWsS2LZt7G7Wuzejz660egjGQgSuIBgQRaHn7I03GEH5+GP60owiAC2hVSt63n77DZgypehoruYb7dePN6Zdu1w7zqKYN4+NB9q3d73ITUzkvgsmfPXty8QlS66Du+7Kxbp11qslHx8KLUvbLdesWXK5OGvw97e/MsPZs7ZZFPbu5STCHrQSX3nLgCUnU2gVtdSemcnXDBxo374tJSeHEc4+fXi8p05lPViAj3fvTn+1M1FVlqWbMoVlFFNSaJUYPZqTA2tJTwc+/5y1el9/nZ8hwbsRgSsIBkazLrzxBiNrn33GpX97a4S6ivBwRoWqVmU0tzi/ZmIi+8CvXs2bniPLT9nKnDkUSnqI3HvuYeJe3nJZfn6MuE2eXPLrK1cGsrN9bGou0rat5TYFR/twfX3tP/e2NHm4cIHWFHsjfuvWAY0amRo0qCoF5ODBRb/mp594vl1Rgis3l0KwUyf6zX/4gQLTx4ee265dbU/ospTr1+mNvXiRqz1Tp7L6x2uvcWJnDarKa/WDDzipGDGCFVEEQQSuILgBisKIyuuvU/B+/jnLi+lVK9RaWrdmLdzffiu+bm5QECM4lSoxAc0ILY5nz2Zd1HbtXCty/f3ZInn8+Px+1Fq1KEYsqY3bsuVpzJtn/dd8rVqMylrigw0KoqB0lIfax8e+45yZaVv92HXrWEXCHnJy6Ce/4w7TY+vX83gWVYVg2zaK+nr17Nu3JWhdypo1Y5WJKVPoc/Xx4epJ377OF7fHjwNvvUX7T7NmrHDQujXL4Vk7ubhwgeM+fZoT6Bo1nDJkwU0RgSsIboZWdaFJE9annDSJyStGJyKC0Zo6dVhpYffuop/brh07Jo0fb2qpqye//EJvZNu2rhW5Vatyv+vW5X/8vvvozS7Jq1quXCYuX7a+ooKicN/JyZY9v2xZyysvlERODoWOrYlWhw8zUdNatm+3bWk8LytW8BrRIrHXrrHGct++5p+fns7KCsOH27dfS8jJ4cS4cWOer2nTOOnMyaFIvPde53puVZUrEpMnc1Xn6FFg5kyOwdrjfvMmLR1ffcXPwj33iNdWKIwIXEFwU+rWZR3dVq2YdTx+PHD+vN6jKpmmTZlYtnYtx11UpYjYWC5ZXrnCpVO9o9UzZ7JcUps2rhW5d90FLFuWfxITFsbzvmxZya/v3TvXpu5mLVoULldWFNWrWy6GS0Lzavv72/b6Q4esj+SdPMmlcXtE0tWrjNZ27Wp6bMYMJk+Zey+qSs/pAw8435qQk8Na2y1b8tqZMYPC8upVfrYeesi5ntXLlymis7OBkSPZJc3Hh9HjiAjrtnXgAKO1AQG0btlaQkzwfETgCoKbU7s2BWPHjvTTjR3LG7aRKVUKePRRRmrffZdZ5+bw8WHizV138Ua8datrx1mQGTPYurRVK9eJXD8/+goLWhW6daOgKinhrHZtXg/WJihakzxWsaLlSWklcfMmI5+2ds06dMj6CO7SpUyssodp04BBg0x1bw8e5KSkUaOi91mlCicHziQri1UROnSg0P39d9aWPXWK3xVPP01LkLPYvJmJa/fcQ+vIN99QUN95p3VR+rQ0RmxXrKA479pV6toKxSMCVxA8hMREfvH368fkqI8+4nKtkalbl1GYffsYYSoqSlu1Kp/3zz+8Qd644dpx5mXaNIqSli1dJ3IrV6YIWb/e9JiPD8tO/fxzya/v04f+Z2vw8WGptAsXSn5uxYos9+Qo0tKYoGgtqsoVgZAQy1+TlcUJgC22Bo2jRxkN1Zb4s7PpNR850vzzDx6kJWLAANv3aQlXrwLvvcfkq3PnWP7tv/9lM4fp09ky3NqkLkvJyGCkdvdu4LHHuL+MDNqr4uIs305uLicDH33ELoOPPy7dyATLEIErCB5GQgLw1FNM2li+nEkce/boPaqiCQjgWPv0YTm0NWvMe24DAigYWrZkAlpx9XWdzdSpjIw2b+46kTtwIP2ceWsi165NsV+SPaB+fR4vazvkNW9edHQ9L8HBjm32kJ5uWwT32DHro5Hr1zPJyVZu3jQ1aNCYPp2ds8wJsfR0it8nnnBuBFJLwLr3Xorpy5cpNJcs4Xt++WXrJgLWsGULV2batWPDjW+/ZQOHfv3yd3Yrie3bObFVVfr2i2qSIQjmEIErCB5KbCw7FD32GJf233rLB4cOldY9YasoqlXjzez8ed6Yi4ocNmxI7978+bQM6NFtDGBppzp1XCdy/fwoEn78Mf/j99/PxJ3izquiMPq1cqV1+2zYkCLD0vE5qrSbrRHcf/5hlRFLUVVOqNq2tX5fGvPmcflfa++7ezeT+lq0KPxcrYrB8OHOjUKeOMGSgiNGcDWnfHlaBMaN4yTnqaeck5SVlsb97tlDb/GcObwmrPXKnjjByPOOHfys9+hhnTAWBEAEriB4PJGRjJD+5z+5OHu2FN580wfr1tnfLcoZ+PnRbzt0KP12ixebF25hYczELluWJYf0Kif200+MjjZr5hqRW6sWE5bydhqLimIJuZI6nLVowW5Z1pz3oCAKFEuEa9my9ic5qirFeEqKbUvne/awG5al7NzJhLSgIOv3BVCIHTzImrIALTbTpwMPP2z++RMnsqayMxO6/v6bEeUHHwS+/54lyxo3Zoew5s1t7xBWHFotWq2Orq8vq0M88QS9tpaK07Q0RntnzeL4hw1zXpRZ8HxE4AqClxASArRpcxovvZSL1FRWKFi2rOiatHoSH8+oD8ClyaNHCz9HUZhY99hjbGu7bJk+5cS+/56RzqZNXSNyhw5lRYe8561XL9pRijuXvr4sLWdtol6NGpY1coiJsV/gXr3K6/TcOes7kV29ygmSNRUJfvuNx84WcnIoWEeN4rWoqvScPvSQ+Tq8CxawYoC9tXaLQlWBTZvKYf16H9x1F6/Lxx7jMfnkE46zaVPH7/fcOVMt2r596VGvUYP5AEXV/i1IVhYF8SefcAKgTV4FwR5E4HoxWVnA+fNBhl2y1pP0dHbZ8USCgtinfcwYip633mLExNIs+4sXmeXubBSFyTGjR7PZwk8/mU8ui41luTSt5NHly84fW0EmTeLSeIMGzu/AVqoUz9+MGabH/Py4jLtgQfGv7dKFWfTWUL8+l4pLoiSBa0llj3PnKGwuXADKlLF8jABLmjVvbvnzDxxgspMtVgiAPuzbbzeNc84cXgNVqhR+7rZtTPgcNMj8tuxdgcjJAb75xgc5OQpq1lQxfz4rJfz9N/Drr/TbVqhg3z4KkpXFa3DiRH5OT5ygneXVVy0/Dzk5XKUZM4af4zffpK9c4+ZNYzR7MSKZmcCVKy5ofefGiMD1Yq5dA7Zvj8Vbb/nggw8YzUhONubStatJS6Ov8c036bGzpd2p0fHz4w36f/+j//Xzz1mKqqT3ev48E0hmziy6hq0jiYpi5ndSEse6bVvh5/j4AP37c/n1k08KN0ZwBZMmsdpB5crOF7nNm/M8HTlieqx1ay65FzdRCQ1lVM1cRLwoatSwrFxYTEzx184PP5S8jbNnKTpzczn5soZNm2gVsQRV5aSuXz/r9qGxbRsFRrt2/H3rVpbdMldqbN8+YNEiRlPNWQPmzWPil62kptJ+UL++ikuXgnH5MvDkk/TbZmcDL7zg+GX+rVspSsuWZQWNhQvp8S0qel2Q3Fxg1Squ0gQG8nPdpo3p+GRncyL2+uvAv/86duzuzJUrXKl5913gyy99cOmSjd4aL0F6f3gxERFAly7H0bNnXWRn+2LfPgqDKVMofmrWZNmb6tW9r0tMhQrAM89QqOzYwZvh+fNMKmrd2vHRED1RFHr0Gjemn/DnnykA+vQxX6OzVi2T0PzoIz6nd2/bI2GW0rQpu7hNm0a/6QMP0F+clypVeNOcOZPZ/yNHurak0MKF9DxWqsTJYmCg8/Y1YgQnJW++yXOoKIwQzphRdHkqgOdq3jz6Iy3Bz48TCK3DWFGUKWP/qsfp0/SnWuuJvXKFgthSIbdtG0vPWRslBhhdnjeP4gtg/d+FC1mLuqCATU7m+XjxxcLWCVXltQzwWraF7du5utG3LzBnjoI6dS6gXj0V77/PRDZHe33PnWOSY1wcrQQrVnDf991nma9XVYGNGyn4W7XitZu3Ccb16xS2W7bQfjRmjPfdewpy4QK983//zclD8+asXezvn4vFi9P0Hp6h8fJLR9AoVcokcgAuPx04wC/QX37hF1NiIgVezZrOvXEbCT8/03G5eZNJLAsWMFpTqxa/pCtX9pyC44mJbKebksKlzenTufzYqFH+96go9HM2bgzs2kWhFR/PiFhB0elIgoKYfJKczGztVq3Y8CDv2Pz8WBrp4EF6A3v3tm7p2l4WLeI+q1blsrStCUwlERnJc7B8ual7VlISr88zZ4r2P1aowAYE165ZFm0DeI0fO1Z8rdjQUPsj+idO8LhVrmzd65YvBzp3tuy5N2/y2n7lFWtHx+/FsWPZpCQggCs9331Hv2nBbmUnT9IH+8ILhY+zqvJvkZFcebCW3FxOulNSWMFh0SJg9OhcfPZZKJYu9XF4CbCrV037a9GClSfCwiwXoLm5wIYNFK8NG3JykPcekpHB97BrFz/P//ufd1dNOH2aE4Fdu4DSpVkaseAkSev4JxSNCFzBLAEBjJbVq8ffc3J4s969m9GK7GzehOrWpdDzhkxXX1/6EevX5w1q/35g9WouE1erRrGVmOgZYjc2lkkp6elcPv31V95I27fPf0NTFNMx2buXy6IxMbxpW5pgYgtVqzL6s2QJb7IPPFC4/mliIqO506fzZvHQQ7Z3x7KW335jBLxKFV4fzhK5PXvyPWotWAFG06ZOZSmoomjblqs1XbpYtp/ERE4YihO4AQH2Jyymp1OcV61q+WtUleXBLBWKv//O5XBLxX3e/Xz1FSOWFSow2vjpp4yWF2w3e+oUG5I8+2zhFYScHCaj1axpW/e0y5c5jvr1ua2UFF7/48b5ICQkG08/nYuAACv9HUWgeWS3bOHKVUoKEw6fecayFrs5OayusHIl7SOvvJL/s3D+PCdkJ07wWr7rLs/4/rSW3FwGlLZs4fGNi+Nnuk8fiWDbgxw6wSI0y4JWaDs3lz6+PXu4THXtGmstJiUxScCWpT93QlH4PmvX5o0vOZkRiilTWO+xRQseC3f/cgoLo6+1b19GbcaMYRS/R4/CN7ikJP4cPEg/amgomxM4Kxvax4d2gBYtGA2LjeUSfd4bqNZEYv9+1tXs39+0SuFs5s9nRNuZItfXl93Mpk5lzWOA4is4uPjmD61a0cdnqcCtXp0TBXsoKZlV60C2d6+p7JYl/PMPk/ssifilptK6olXosIZZs+hHbtSIE/yPP6YgKxhtPnqUVT2efdZUG1fj6lWK4u7dLfcL52XTJgrC1q05QRk6lJ+3yZOBRx/NxZYt5x0iEPNaCZo04WR1/36unsTGlvz67GyK2rVrOZl444380cd//+X7UFVWsfDGBg7XrvHa3byZk5YaNfi5HDrUO0W+M3Dz26+gFz4+jLJUrcovKFXlssq+fbzZpqZS4GgisHJlz11yUhRGtqpV43E4eZI3orlz6Utt1ow3xVKl9B6p7QQEcBm8Sxd6kseNoxi5887C0bbERC7LHjlCwe/vT2FpTaF3ayhTBnjuOa2ZBUVvy5b5bxK1anFZdMoU3rgffNA152PePLZjrVKFkRlnrHQkJbFEWnKy6VzcfTcwYYIP6tQx/5qAAE48jh9nklBJREVZ5q8tSsTm5pb8+T98mOPftcu647RwISOKlqDVh7VWQKxeTRFy9918L59/zqX0gsf30CFW+3jhhcKe9LNngS+/ZLTVnLe9OK5d49gDA03+7lGjuK8mTRgZdURioxYNnz+f39kJCRS2gwdbZhu5epVtdbdvL+yhzc2ll3T5ctqZhg61TCx7EikpvDfs2MHJ6W238Th4ekBIL0TgCg5BURg5qlDB5IVLT+eX49q1TFzShGBSEmfs1i4RugOKwptCQgKjl5cucdnpiy/o/WvUiILXmcv3zkRR6KFr2JATmoULeePu0oU+17wipkoVVj84cYJC79o1LrnVquWcsTVpwmXbuXOZof3AA/mTAQMDaVPYvZvti+++m5E/ZzNnDiN91apRADnDJjFsGK+xN97gOYqJocA6c6Zopdi1K8XGiBElb19LYtMaMRT3PHOkpZW8pL1jB8+XJYJbY/9+vsaSRML167n0a832AQqSv/+miM7NpUht2rRwTdkdO3idv/hiYYG+cydzGZ55xvrP/p49TEZr1IjjuPNOWiCmTKE9Ii7Ouu0Vxa5dvFbj4ig8T5/mxDRv2a6iOHuWtpyzZ7m6M2CA6VpIS+Mq399/85g995x7T/atISuLKxJ//83Ifmwsv/+fe8578lj0RASu4DTCwvLfCDQf77599MFdu8YokmZriInxvKWZyEgKia5d6dn75x9GuC9dotBr3tx9k9TKl2cUKSODN7DXXuO57tIl/w0+IYG1bC9c4E1w5kz67Zo0cfz7DghguSIt27t8eYrLvPaAunU51p9+ouhxRbekX36hoK5e3TkiNzKS0aBVq1j6DQAGDMjF88+XL1LAVq3KY1SSaNWIieE5tKXDWGpqycmHhw/zpt+okeXbnTu36K5heblwwVR2yhp27uRS+/PPU9yOHcvrVisPprFqFVcQXnopv3BRVfrXjxwp7D8tiYwMWg+uX2eELyWFwnHuXAYRzFVtsIV9+1iJITKSPxcvUthaMhHdv59WA19fJlZqkWlV5XaXLuX4O3emzclTV/E0tJXMv//mhOHmTUb5O3Vi5N0dv+fdGRG4gsso6ONVVc749++nADh/njP7GjX4nGrVrOtKZHSCgrh03rIlb5b79pmS1BISKHbr1HE/325ICCOzvXrRT/bJJ4xU9OqVP4IaHc3l4YwMJofNn89lzIKJa46gbFkuE2/ZYt62EBREYbR7N72offrY5om0hlmz6BGuVo1iztEi9847KeBat+b7i44GwsKy8O+/hZfSAR6LWrX4+bMkSle+PG/exQncoiwKp04VX1ovLY3HY88ey5PFtm/nNkta3s3NpaXmkUesu8527qQ4feEF/v7ZZzy2rVqZnqOqnLBdvcrVirwC7to1JpPVqMHIrTXiZtMmfj5q1qTlqVcvljbbuJHjsbf0nary+C1YwO/cUqW44ta/f8l+2Kwsrsr9+SdF2/Dhpmvi+nV69devp9gdMsTzO5JlZvJa+ftv3s8qVOAkrUsX5yWXCpbhZrdSwZNQFC6HxcVR6AAUPwcP8gtj3jx+mZYrZxLGcXGeMQv28aHoqFMnv293/nx+KTZqxGQoZ5bccjQ+Pkz4atGCHsE5c3jT7NyZUS+tcH9ICO0bvXubir03bUpPo6NtK02b0oYwdy4nEw88QKGmUbeuqdLCunVcrrckO9xWZs7kTb9qVSbalC7tuG37+lKoz5tHzyQAtGp1GvPm1SvSi9u2LaNs1ghcW2wdx48XX6pt82Yek9OnLS87NXs2I6Yl8fPPTHTKe95LYts2TsJeeIErTx98wKX3vLaE69dZzaBmTa4a5OXgQUbHhwwxP7koipQUriz4+tK7HhjIyPySJTyn9tp78pbriozkd6mfn6niR3GcOcNxHD3KCPbLL3N8qspViRUruHLSoQMnWgXLpnkKN2/y/e7Ywcmhvz8/E/36Oc4uIjgGEbiCoQgJMXk8AVOU999/6ffUboDVqjEyUqOGawv5O4O8vl2AovCff9j5KS2NSVtNmvC9uou4r1qVtoT0dC7xvv46bwJduphEe0AAs8m7dmXyyfvv87zeeWfh7HN7KMm2oFVaOHyYmfGdOvEm7axjPW0a6/TWqOF4kdu0KQXrpUuMiIaFZSM8nDVsC5ZRA+hHPXHCMptCVJTtXaVOnuTyelH89RfH17atZdtbtowR+ZKsJWvXcpJsTVWGjRsZnXzhBSaWffEFr4+8TRNOn2Z0dvBgTpI0cnM5mTpyhF5cS7+bsrI4Idy7l+/Jx4eR4j//5GdGa+ZhKzk5nOCtXm36bIWHM8GpuIh8bi6tF8uXc1w9e3IVBmBzjaVL+fcqVfg3a/3N7oCqUtTv3Mnzk53N6HT9+ox4u9uKmzchp0YwNHmjvO3b87GsLN5ADhzgF/bVq4y61axJ0VC5snt/6YSFMULSrh1vMAcP8iYyfTrfZ+PGjPC6qqarPYSF0XvXpw8jHuPHMzrVvTsjW4piupm3bMkl6gkTKDp79bI+27w4NNvCtm20LXTqxB9NOFSrxmjur79SbD/0kG1+U0uYOpX1ah0tchWFomvaNPqjAaB371zMn++L0aPNv6Z6dYr7ko51RAQnXEWRlWU+cUZVuVxf1HLtxYv824EDPCYlcfEiRWhJpb6Sk9nxzpIor8bSpRQxzz7LqPOkSZyo5V1m37yZ5bMKJoxduEArRMuWtCtY09lrwQLaelSVE8Ft2+hbfu01+5a5L19m1HXHDn4WVZXfj927F//9ceYMJ6b79/P7ZvRovj4nhytNa9bweR078jy48/dtQVSV73/HDvpoMzN5zOrX5yqT2A7cBw+6LAVvISAgv5cXYDThwAHeLKZPpzCsUIFRl+rVGbVzl+hnXnx88r/X1FTe/L7+Grhxgwl6jRsbP1Etb/WFCxcoJGbOpBjo0IEeQEVhNKxuXUbtFyygEOzShbYHRyWoNG5MEbF4MW/Ogwebluj9/GifOHWKYqVJE0amnHFsf/7Z1E714EHHidzERFPxfICfg8xMXjvmIuNadn5JAjc8nJ+zorh0yfx7OH+++InC8uX8uyVNUlSVE6ARI4q/Hs6epTh98UWTNaY4cnMZ3ff3p3DVfKR5o7BZWXwOALz6qmkJXlW55P/XX5xUWGqFOHCAbXy16hRly/IzfeQIO6XZUzrq8GFeA+fO8ZoOCmJ0vFWrosXo9eu0L6xbx/PYuTNXGgBenzNnciWgSRP6mZ1p5XElqsrP+549nNxcucJzWL8+8Nhj7hFIEMwjAlfwCCIimCSkJQpp2awHDzKCcfo0H09IMInesmWNLQrNERVFwdelC6Mpe/cyin38OI+BJiKN7N2NjmakLieHouDjj3kz79qV50VR6LseOZKe7OXLGclq1ozv2xElhvz86AHu0IHRziVL8i/XVqhAW4XWKW3ECOfU8f3xR+eI3PvuAyZONNXB7dWLFp/77y/83Nq16dstiYCA4tuDnjlj3oO4a1fRPtSsLCb6+fqydFJJrFxJ+0txS+GXLrGU1zPPWGYRuH6dNoQmTbhKNH48veAvv2wS0UePAhMncjWiSRPTa0+d4uONGvF6sWQSdvIkJ+FXrlDQ1q7NyUdKCq+FcuVK3oY5+H0Qha1bfZCTQ9GekMAJWlGd4bSOjCtXMjLeujUrRgQFcYL0889cYahenYLXEyoB3LzJScSePXzv167x816nDj36jrQMCfoiAlfwSPLW5e3QgY/l5vLmcvAgk7nOnuUNqVIlfoEnJlJ8ucsXuJ+fqU0uwBv79u0UTZcvM6p7222M8hqxGoWfH5N/2rTheVm2jGWRmjfnOQsNpe+vb18KtE2bgI8+4jm9807bhUBewsMZjTp+HPjuO3oJBwzgDV5RKA6aNWOntHLlWAXB0fUrf/yRvkZHitzYWIq7s2c5G0hKYhWHrKzC14KfH6OR166VnORX3Gfj9GnzAnfrVkbCzPHHHzyf4eElR8qOHuWE6OWXi35OWhqreDz6qGX1Zk+eBL79lh7t2Fjg7be5fN+iBf+em8vviv37aTvQzk1WFq0shw5xX5Y0LLhwgcL22DEex/LlKUovXuT+bZ1AnTrFCPL27T44dqwcEhMpVLt0KfqYHj3KY3/oEG0y/frxPKSkcCK0cyebMbRrx8mSu3wnmiMriyJ9zx5+vnJz+TmvU8dxE2bBmIjAFbwGHx9GfipWNNUKzclhpOLQIVOpMj8/isPq1enLLFPGPb7gIyPpievYkZGZY8eYrLZwIf9eq5aCS5eCS2yZqgfx8RR5OTn0OI4dS5HZpQstC76+XF5t1Yo3qenTGXnr2pXRM3vPT8WKrCuqdUPr3NmUaBYdzajWli3A//5HwV2wyL+9fP89Pb/Vq1NMOaIRSP/+uXj55fK3One1akULj+Zlz0utWhQB9jS+OHq0cBvkGzcoMMxFUrOyuPrg48PoeXFkZtKa8PzzRUdJL13iasBDD/F6Kok//6QV4ZlnKOhmz2bpOE2kHz3K89K2La0KmpVg82bWc+7Rg8mKJV17Z84wgezAAY49IYHvx8fHdmGblUU7wapVnMwqCkVbjRrHMWpUZQQEFPZlnDtHUbtrF6/39u0Z0T95knaMvXv5Xde2LQWvJdYOI3LxIo/1/v2cuGrlKevV4/sy4mRfcA4icAWvxs+PN4YqVSimAC7DHjtG0TtzJiMvisKbZtWqFL3lyxv7BqAoFOmVK/NLPSsL2L5dxR9/xOB///NBdLQp+mukrmp+fiYhe/48Sw/NnEnbRadOtGgkJlKUXLlC+8LcuRRWnTsXbo9qDYpC4XrbbUwieuMNZklrFT2aNuXxmjGDwuzBBx177CZONHmuDxywf9uxsUBg4E0cPcpj1q4dI+DmBG6NGhQ4JQnc4iZHKSmFI5mbN+df0s/L4sV8j9WqFR+9zckBPv2UYqwo3+f582yf++ijJYvba9coXENCmDz1/ff8PL/2Gj/TWVm85s6d43Wm2X1OnGAJr+rVaUcoKZJ/4gQnzUeOmCqlXL3Ka/T++61vU6uV41q1iglQisKx9enDiK2vby4WL76aT3CfP89Jzd9/U7y2b88ViuRkRsOnTOG4Wrbk40b+TjNHVhb9xgcOcIKWmcnviFq1GMRISPD85hJC0YjAFYQC+PvzJpY36ebmTS7BJidTVJ06xcdiYih6q1almDRq+8WAAAq3M2eOo2fPukhP98WuXYyEat2p6tdnlMMo/t2YGCaA5ebSejFpEo9527YUmxERTAjr35+Jd199xeXGHj3sK6mm1QXt3JmRt0WLOI6qVXl+hw1jZOjrryl+77zTccJAqzJRsyYFp71F8lu1Oo05c+rgxRdpP4iKMt90oVo1JiUVR3Z20QlKWpWEgsd89Wou7RfkyhUKLz8/4Kmnit6nqgLffEOxUlQDAq3mbMFqB+bQ2t7efTfH8NFHFJs1a3Jf69dTePfubYoqX7hAoXrtGu0sxU08VJVia+5cRoD9/Hgd37hhstZYm5x19iyP4/r1XLXQGsZ06pT/PGr+6BMnuBKxdy/Pd8uWrB5y4ABF7S+/8LutVSv3sh+oKicdBw7w5/Rpfq9Vq8bzV7CDoiCIwBUEC/D1NdWq1SJgqsrlsORkWgHmzmVEISTEJHqrVDFmtnFUFN+H9l7On+cy7U8/cam3XDmT4LUnKuoIfHxoQ2jUiHV1165l97GYGN7ka9UytYTWitFPnUoh3K6d7ZOOkBCKn4sXORHIzmZWeWwsl3hff53RtDff5OP2FuHX+OYb/puUREFmj9c4MvIGLl40JYDdfjuX5bXseI2gIF67xZGeXnTS1t9/myLdGseO8RyZ8zhOnEhxMmRI0ZMDVeX1WLkyRZo5tGX6l14qPgp84waviYwMJi9Om0aRN2YMRWhyMhOqatdm5D4ggAJYsy3dfTeFVFHk5FCALljAhLGgIEZMfX35GWvTxrql8bQ0VjPQkr8CA01JcAWrTWiR3T//VPD777XQsaOCNm1osdm+ncdnyRJ6Tnv0YITb6KJWE7OHDjFCe/w4J7dly/JzduedntP0R3AeInAFwUY0f2Z0dP42r1ev8oZ55AjFRFqaqZ5v5cpMaqtY0VjR3pgYip/bbzc119i5k77HtDTeFOvXp+jSs7FGWBgTv3r2ZCRy9WqKlaQk3tDj4mgd0NqJvvce31veCg3WUqYM8MQTvMl+/z3P96BBHMvtt/PcT5nCRJ+hQx3TpOKbbzjWOnXsF7k9euRi0SJfPPQQxcG0aeaf5+tLoVZUlPbixaKj+5s2MQM9L7Nnmzqq5WXDBkZF69YtuoOaqrLRSVQUEwwLcvMmJx3p6fTHFleHdfNmJordcQfP4c8/8xopX54iauZM7u+JJ7i/K1f42JEj9NgW1+Xt8mWWvFu2jCsNISFMRIuP5/6sWUlITTUJ9nPnKIgbNOCKQd26+ZfaMzIoXrdu5euqVQOaN1eRmXkSQUHVMHs2z1WTJnxfRo5sFhSzx47xWJYrx89s+/YMLLibfULQHxG4guBgQkPzVzcA+IV95gyXLTdv5tL3jRu8iVWsaPLLxsXp7xnL21yjWzdTncidO5lxnpHBKGZSEgWYs5ohlESFClxiVVWKwNmzebNv3pyeRE2wnzhBW8nkyYzyduxom0ivWJFias8eZurXqsWl7LAwVglITmZ5qjp1aHGwt1XpuHG8qdsrchMTWUFBW96Oj+cxKZjcFBPDaGVR7UZPnjRfnisjgz95xW9yMvdVsCbsmTMcS1hY4fa2Grm5nFiVK8fjWJCLF2kPadvW1OLbHOfOUSSXL89I/qJFPF+DBnEb33xDgTxoECed587x+r5wgc8ravk+N5crNvPn0x6hqhTGISEcU4cOlq96pKQw8rtiBfdbqhQnTA8+SGGtiTqtm5ZmPQgMpPjt0IGiffdu4PBhH1y9GoERI1QMH27M6GZODq+jo0c5gThxQsSs4DxsErgXL17EmjVrsGnTJpw9exbXrl1DmTJlULNmTbRt2xZNisoqEAQvxcfHVLasdWvT49ev80v+6FFTvV5Vpa2hUiWK3oQEfSs5aAl28fGMnKoqhdCePRQr589T1Ccl8cfVtTLzNojIyuIEYtw4RvmaN2fJJ61Cw5Yt9Or6+9Nj26CB9WOtU4fvc9s2djyrV49RxqpVaVtYt462hT59KKjtORZffslrJymJwsZWkdupEyODPXtyuX/jxsICNyqK9pSiBO7Ro+YF5apVpqokAK+PyZMZOczL9etMFlMU+nLNiZjr14HPPjM1ACnIhg38nDz8cNHJZOnpjMCmpPD8/vUXP09jxvD9TZhAgavZDpKTOS5VZYWMoqwIFy5w38uXc5zBwRT1devS/2nJCoFmJ1i/ntfJlSscW9u2/KlSxbSNS5dY8WD7du5bq+wSEUFBq53DBg14Lfv55WLx4lNITGxgCHF75QpF7JEjvHbS0njO4+P5Pjt14v9FzArOwiqBu2bNGnzxxRdYvHgxsrOzUbFiRURHRyMoKAh79+7F1KlTkZGRgcqVK2PEiBF48sknEa63gU8QDExQECNsefvcA7w5HD3Kn/XrGZnUhG98PCNpCQn0pLk64qsojODGxpoET1oasG8fxc7x4xSQNWtSmFWv7rrSPAEBptq6mZlcOh87lmNu2ZLRsZYtKXBWrmTUt1YtiilLSktpKAqXfxs3pqB+5x16hHv2pFBp1ozbXr6cPl57mkR88QX3l5Rkqk9qLS1bcow9ezIy+NtvhZ8THEzhVhTHjnHykhetWceYMabHli6lsM+bjJWTQ9/01ausY2vOl56SQkF/zz2FG0NcvkxhWr48JxHmouM3bvB9aY0lTpwwWRjOneO2c3I48ahShZ+rKVO4zcGDzQt7zfO9cCGva19fWhDq1uU106JFydd2RgY9ysuXs3TVzZv8/GpNI7RJS3o6j+XOnZzoalYH7XwfP87nNGzIhhAF7SLFNeFwJtevMyp7/DivkZMn+R5Ll+ZxrlqVYtaIuQiCZ2OxwO3atSs2bdqEfv36Ye7cuWjdujVKF6hIrqoq9u7di0WLFmHmzJn47LPPMHnyZPTs2dPR4xYEjyYigpGZgmWbrlzhjfvECUZ2zp3jEl9wsCkJLj6ekWJ7l8itITyc0dLmzfn7jRss27NrFwviZ2VRjGtth13ROrlUKVNd4KtXGfH69FMel1atuAx9110UHb/9xmPZqBGXsy2tJKEofM/NmnH7b71FcdejBxO5UlIookqVooiytYnD559TXNWrx2Nqrcj19+cqgJZspqqF/bZBQUUL3PR0LsEXPGfLllG8aNs5fpxR8ldfNT3n5k3gww8p2p57zrzY37CBHuYnnshfCSE3l/vYsIEe3ypVCr82I4OVD7ZvNx2XmzcZJd6/nxHh6GgKZ0XhfqZM4UrKiy/yfefl+nUKzXnzGH3MyuL1UL8+I9UtWhTvab15k9aFjRsZpU1JMX0+XnmFExV/fx7T/fsZFT52jNdIbCzHExLCz3pQEMV6+/b2te51BNeu8Xvn+HH+nD7N9xoYaPru0So7FOeJFgRXYfFl2L59e/zyyy+IKGYapigK6tSpgzp16uD555/Hn3/+ibS0NIcMVBAECt+ICEaQ8pKZycjJiRMs5n7qlEnAlC/Pn5gYID3d3yWNHgIDKcbq1ePvWiLJv//SC3n6tKkGca1aTMZxZvJaaKipxbFWouqTTxj9btKEYjQkhLaDiRMp0Fu3ZuSzoAAyh9ZIoWVLRvzeeovv/Y47gGef5fseO5bR7H79Su4YZo5PPuF+bBW57dvz2rjnHh73Y8fyL8dnZRUdZfvzT76/vFy+zOOoRW8zMtgN7r//Na0qZGUxcnzsGMVdwZWKzExWSggMZB3avMJo505WMWjdmpaPgisVV65wYrJ/PwWoqvKY9O7Nc/DBB5ywjBjB4zVhAicYXbowqp5XrKen870sWMCViJs3uc2kJIra5s2L9tVqTVU2bOBxOnXKVGrwrrt4fZUpw8TNvXvp8714ke9VmzT4+vJYANzngAEld3ZzBqrK83rqFD+jx49z3AUn0V26cKIkQlYwMhZfnq+88sqt/0+ePBn9+vVDWAl3pHbt2tk+MkEQLKZUKYrEGjXyP56VxRvUqVPAv/8q+OOPeBw86ANfX1MSkPZToYLzRKaicCm2XDlGSAEuqR45wpqWa9ZQZISHU3RVq8alTWe00YyIYDvW7t0pyrZtY/3ZzExG6e67j+PYuJF1UrW6o02alCx2FYXvr21bJgR9/DG9k717U8Bt3UrB17IlE/isFQgff0yhV68eE50qV7b8tXXrspQdQJFy8mR+gZuRUdiCAFD0/PUXy2flfWz8eHqbfXx4nX3yCTP+tej3lSu0E2Rk8D0XrL27aRMF6j33mCZCACcDc+Ywkvvii/mjpVqd2SVLeE0HBdEi0KwZj+XatRS8HTrw+lm7loK1TRvWgs1buSQlhbaB33+nFQgwlZ67/XZaAcxVOrl5k77dTZtoczhxgsegWjWWr2rcmNfP4cOM5E6cyBUErSWyZiUICTF9ZitXdu2KS0YGBeypUyYxe+0a/xYZafo+6NGDn1nxyQruiE3zrwceeAC1atVCs7y1kf6fnJwcblimdoKgO1qVhooVgSZNVAQFHUHPnrXh7++La9e4ZH36NDsjLVlCkQkweqQJ33LlKDbCwx1rK/D3LyzK09IoHvbv57LztWsUuVoHuWrVHCvCQ0IoSNu1o/DYuZMi8OxZU7S1XDmTWPX35xJ106bFi2+tK1rTpkzG+/ZbRg/79WO731WrKBi7daP4ssZH/eGH3P5tt1kncn18KNiuXeN53bo1/9/PnqW4K8imTbTK5P1KnzeP561KFS7pf/IJva3audy/n1HXChVoEch7zk6eZE3auDhTzVmAwnXOHNoJRo7M7+HNzKRYXbWKYlrzJFeqxNetWkWR3LAhE7CWLOH/H3jAVLbt2jVGWRcv5ntKTWVUsnp1CvWWLRlhLngurl3jNv/4g17aCxd43SQm0tNcty6PwaFDFOdaQ4bAQIrhgAB+nqpV4/FJTHR+2S5V5Wfp7FmunJw9y8/6lSv8e0gIz0358oxOly/vnMmkIOiJxSo0LS0NoaGh8PHxgVrMGue2bdvQvn17XC8uW0EQBN0JDjY1pChIejqF7+nTvKmfPcsbJkCRFxND0atFZcuWdUwiWXg4hUnepgEZGYz0Hj5MIZOeTvFQpYqpvFpsrP3i29+f0bfGjSkQDh9mdHfOHEYKmzWjQDl4kJ5YReFjTZsWXxaqTh3+HDnC2q1ZWYyMvf46/aWvv846vdYI3Q8+YFTNWpGblETxWa4cj2teLlwo7D3OyuKy/WuvmR5bv55RvyeeoGD69FN2lKtXj7aYyZOZYDd0qMn3ClBQzpxJsTpsGMeQk0PhunIl7QWPPGISpDk5puSs5GQem/h4WloyMkz1UqOiGCHdt4/n7sEH+T5ycmgJ+P57rhCcPs2xlC/PCG+XLhxzXrtIVhaF6saNnACcPEmxGhPDCP5DD/H5Z89yTH/8QcuNnx+vmfBwCnOtyYszG71cv84otCZiT51SsG5dIv7+mys0ERGmz2i9epxMOXqSKghGxmKB+9lnn+GDDz5A7dq1oSgKZsyYgStXrqBBgwaIzdNUW4StILg/YWGmhLCCZGezNJh2Y929mzfaGzf499BQ3lhjYykMYmJ407eno5hWBkzj+nVT+aF//uH+tXqkWjONSpVsFxeKkr9d89WrTGKaP5/+ySpVeGzS0+k7zcigeGzSJH+pp7xUqQI88wyF3tKl9JdqS+dr1lBEdu1Ke4MlQvfdd62P5MbHU7QlJJjOF0DfZVhY4XH/+CNbIWvWjD/+oOgfPZpC+eefGW2tXJkC8403eL6+/tqUEHb6NCO+aWn0ltaowfM1fTqj261a8RgEB/Pa2raNDTx27uR4YmI4Qbh2jeddqyiiKHwPdesyeqwoFMRffkkRfuYMnxcXZ2pXW7++6ZrIzORkZetW7vPoUW6/TBme22bNGNG+fJmR2b17OSYtEh4ZyWisJmYrVnRctRBVZZmw8+c58bhwwfR/reNcYKBpcslyYSpiYw+hV69E+PuLp0AQLBa4w4cPR4UKFbBjxw78888/mDRpEj7//HMoioLY2Fg0aNAAtWvXxoYNG1DLUT0rBUEwHP7+JvuCOa5epfBNSWGSyt9/8+asCSo/PwpeTfhqIjgy0vIIZlAQy13l7TKlqhQ/x44x+rpypamLXPnyppJLFSrQLmBNJCs01FR+TFUprnfupKjLyqLA8/Fhwf5Tp/h+mjaloCqYUBYVxRa12dnMsv/4Y4qjBx/k9l5/nfvp2LHkScE77zCS27AhhZomyIsiNpZ2lKtX89sGVq/mPvOyZAn337gxI6XTp/N4Pvoo/3/+PBPHLl3iY0eOsOFFr148Rlu2MOIeEEBrRnQ03++MGTz+HTowwpuWRuvA0qXchqLw72XLcr83b/J6UhRGIKtW5XG9cYPb++or2hQyMnhdJCSwLmzHjhS//v68Drdto6f63395nfj48BiULUsRrHU2S0vj9g4e5LJ9mTIUslpN6oQE+xLAbt5k5Ds1lT95xasWVffx4THQPh9VqphKrxUlorOzAV9fF2SQCoKbYLHArVSpEh566CEAwNy5czFv3jxUqlQJO3bswI4dO7B9+3asW7cOpUuXxjvvvOO0AZvj33//xejRo7F27VqEhIRg8ODBeP/99xFsS6qyIAh2ERpq8hyaIyeHUdDz5/mzcyf/vXSJggagsIqKMv2UKUMBHBVF0WFOnCoKn1emDLPnNbQucidOMOq4cqXJixgaahK9miexpCicopisHX37cvuHDzOSfeGCSaRrfk9F4bFo0IDL69r2/f1NZcwOH+ZS/NmzjDbm5gJvv83n9+xZfNmy//2P/zZpUrLI9fOjwDp50lT3VavT2rev6XmLFlFsPv44I7ATJ3JclStzXH36MHL89NNcqh86lLaNs2fZCnjfPp6Dfv14zKdM4ftu1YrR3717mWD2zjsUedqkJySEx8/Xl4KtXDkeO19f7mfjRtoftKStcuUo/B54gM87d45R4QMHaOO4fNnUMTAyktsPCeHvmZncR2oqr8mEBFZs0K6DuDjrql3k5PAa1oRr3v+npVH0q6pJvEb+X3vnHR5F+X3xM+m9kYTeawDpIAgGpDelKwIqiCj2hu1r7733BhZUlKIUAUF6l96LVCmhlyRA+v7+OL9hN8km2TK7M7tzP8+TB7LZnX13ZnbmvPe999x4nqtqV8CkJGO31BUEX8OlSrCjR49e+X/37t3RvXt3zQbkLOfPn0fnzp1RvXp1TJ06FSdPnsQjjzyCM2fOYOLEibqNSxAE+wQFMWpm63dalKyswgLhwAFG4M6eLZw7GhZWWAjHxVmt1GJi+F62XeSKkpFBsXf0KJffjx2zVrnHxlqXgNVcRnuR34AAa7OOAQMoIA8cYKRw1y6K6R07+P/Llzmu+vWt9miRkdYCupwcOhYsXcr3slgYoYyOZlSyUSP74v6llygCW7ViAZW91BKAgi82lkJ42DBu//PP+X9FoeibMIHvfeutTEE4eJA5nEuWMGJerRqtwYKC6DiRksIUiVdeoUgrV477etMm7s9q1TgZWLcOeP11q0VWaCgFZFyc9d/oaB5j5pRyvLm53GdVqvBzqXZlJ04wMrt6NVM81IKuoCB+luBga9Q3Koqfu2pVa0pBxYo8piU5Y+TlcSwXLvAnPd36f/V32+YKwcH8DOq5mJzMYxwfz/fWuwW3IJgNn7c6+PLLL3Hu3Dls2rQJif9fdhsUFIThw4fj6aefRortGqYgCD5BWBgFSEltY1VUIXzmDMXI4cP0PFXFyP+bukBRKHxiYqwCODaWgkQtbOvQgaJLUYpXoW/dygjr+fPcXkCANVqcmFj437Awa/6u2uNGXfbetYuRyJUrmc6Ql0dxV7MmI7z16tGlITWVn2flSo7lwgXm7P7wA3NDr7uuuPH/889zXFdfzRzUopZxAD9HXBxFa1wc81XV912wgCkFHTtSOD7zDJ+Tns5iuKNHWRDWqBFtz06epBBfu5biTrXP2ruXkeyjRxmZz8+n+I6I4POCghihvnyZx+3SJWteaUiI9dgkJFgbHly+zH23cye3FRTEn4gICsgKFfj8atW4L2vX5mPlyvH5Fy8y6mv7s2UL96/6+6VLHJc6gVDPF9tzpmpVfn71MW9aewmC4BwOC9xPPvkEY8aMQagTlSKbN2/GqVOn0LVrV5cG5wizZ89G165dr4hbABg0aBBuv/12zJ49WwSuIPgxjgphgGIyPZ0iVf33wAH+XxU5ao2sahSjKBRR0dEUS9WrMxoYFsboXVYWBdixYxRR6pK4iiqiVYHUsCGX+tVCp6NHOYbt27n0fu4cxV5kJKOhDRsychsTw+dt20ahPWMGx9SxI4vSKlTgWJ991tp0YunSwp//5EkK3/BwFrO98AKfd/Ikc2cDAymqV63i58rJ4b9hYRyvmnqyYwej6VlZ/Ll0if/m5VkFoioS1ZQTdXleUSjC1WhmYCD/r/4tL48/GRn8fDExjIyrUdH4eP6EhfF1ubkUv5cvW1MO/v2XPyqqTVfRn4SEwr/b69QmCILv4rDA/eGHH/DKK69g2LBhGDJkCFq1aoVgO9PXY8eOYc6cOfjll1+wZs0afPfdd1qOtxg7d+7E7bffXuix0NBQ1K5dGzt37rT7muzsbGTb3IXUbmu5ubnI1auhtw6on9VMn9nMyPGmaHLGR9dioXAqHP1TcO6cVVhlZQGXLytX/m/ropiWRmGanc3H8/OBvDwFOTmWK1HLwEDrT2ws/y0osOD0aQUzZzJqm5OjXFkOZ3MDCywWBcuXW3D5soLQUCAx0YKaNS2oVMmCjh2Bli2DMHp0Oaxbl4fZsxXs3GldI3/3XWt0211UUagKW/VHjbQGB/MnNBQIDbUgPNyaMqCmD0RFcSKhxk8UhUKcPxaEhfH/ERHWx6x/t/64E1HVan/ohXy/zYVZj7czn1exlGZqW4Rp06bhww8/xLJlyxASEoJ69eohKSkJoaGhOH/+PA4cOICTJ0+iXLlyuPXWW/HYY4+hfGmJdhoQHByMl19+GU8++WShxzt06IDk5GRMU1v32PDCCy/gRbW/pA0///wzIsTtWhCE/8dioSDNywtEbq6CvLwA5OYGFPqdjwUiL09Bbm4AcnICcPlyEDIzQ5CZGYyMjGBcuBCKzMxgXLoUjKysQGRlBSA3Nwi5uQHIz1eQnx/w/8JYqxCiAsBi86/Tn/yKUA0IsCAwsABBQQUIDi5AaGgeIiL4ExOTjcjIXERG5iEsLB8REXkIDc1HSEg+QkPzERGRi/Bw6/MjInIRGpovnbEEQXCJS5cuYdiwYbhw4QJiSjMgh5MCV+XAgQP4+++/sX79eqSlpSErKwsJCQmoX78+2rdvj06dOtmN7nqC4OBgvPLKK3jiiScKPd6+fXtUqFABU6dOLfYaexHcqlWr4vTp02XuMH8iNzcX8+fPR7du3bx2vAT9MNPxthd5VaOsly7ZRl+VK/8vGsHLz+cyvZqKoD4vPV25Uhl/8aL1Ofn51n8LCjgG2yV623/VqKf6e0CAdfleXbZX//3/V0BRLFciopGRFkRHK6hVy4LAQBY0nTwJ5OYqePzxfLRoweN999378fvvjbBoUR5SUlj4tnKlgnXrFKSlKQgKsqBcOaZDABacP6/g9GkFFy/ys0RGWhAXB1SubEHFigoiIxlNzc5mOsa5cwouXeK+Uz93YCDTAoKD1X8t/1/sp1zZR7apAGp6QlgYo+uRkRZERfH/TB2wXInyRkdr5zXrb5jp+y2Y93inp6cjMTHRIYHrUpFZzZo1MWbMGIwZM8alAWpJfHw8zp07V+zx8+fPl5h/GxoaajeXODg42FQniopZP7dZ8aXjnZ9vLRhLTy+cL6v+qGJMRRVMERHW3Er134gI/uTkUKyePk3Bm55u7Qp19ixzQLOzKdxyc62CE7CKVtWjtaDA+veICGsVP9MRrEv2alGUmpMbHs7HwsOtAk91dcjJoZhTl95DQ4GUFIrJ8HAWr505w3zZYcOAb7+lyL3tNqBqVWsqwsCB+9CoUX107hyMpUsLd4nLyaH7wZIlFL7h4SyUa9OGBXdVq7LYbM8eFmRt2cL9rToTVKzIHGG1Y1eFCtyuuj8pgLmPz5zhv/Rq5fNiYqzFecnJVjeFrKzCx/fECe4X9Xc1tUM9ziEhhfOci/5ERZkrt9aXvt+C+5jteDvzWX3eRSElJaVYrm12djb27dtXLDdXEAR9UU3uz58vbrmk/pufb31+YCCFnq31l22xlype1aiercfu0aP0l1XtqjIzuX21eCo72ypQg4IoMOPiWNQUGsrxnD5NkXbpEgVVcLC1cEx9z4ICCjA1whsQQCFbowbdCSIi+LjFwteq0c+4ONpIHTxI94LsbNp81avHbQQHc7y9enHMS5dSwNapw8YMu3ax0cIvv7C5wt9/U5QW5eGHOdbUVL5O9QgOCaHjwtVXc/srVvA9jhwBZs3ie1etytepncIKCih6d+1iYZxq0RUaahWatWrxc9WvX7gRhy0WC/eZeqyOHbN2pFMj6TExVpu2lJSSbdqyswufSxcucKKinmOZmYXzoqOirJ7K5cpZi9cSElzvticIgvFwW+Dm5ubio48+wqFDh9C3b99CnrhPPPEE3nzzTXffolR69+6Nl19+GWfOnEG5//fN+f3335GdnY3eqkePIAgeJTfXvsn9uXNWk3vAanKv2nPFxlIIquJV9a4tjYsXKYgOHKAt1e7dVheDS5esVfk5Ofw3N5f/V4VnlSoUYXXqMGJ49CjF1a5dFG///UdRXasWo5lJSRTCR49SMOXkUFTl5vI9LRaKr2bNaPEVFsZtHTjAhgFqA4J//6WA6tyZ2/z4Y+Cjj9gp7PnnaVmVn0/brkWL6I6Qmkpf2tBQPicwkJ91+XLaeAG0zrrmGvviVuWhh/jvddcVFrkqISHWphNpaexidvEio6urVwM//cTGDtddx+NVowbQsydfm5nJMWzZwi5yW7bwuMycyb+r7hFXXcX9oUa01eOttvS1RbVpO3HC2g7a1qYtKsrqbVylCrdr0zG+RNTUFfU8PXuWrhDq+WrrgKE6Ldg2G0lK4v/F01YQjI/bAvfee+9FZmYmWrVqhXHjxqFbt2549913AQDz58/3uMC966678PHHH6Nfv3549tlnrzR6GD58uFiECYIG5ORYu46dPm1tLXr+vFW4Bgdbo2CqL2lKCn+PiXFeEOTkUFAePkzB+e+/jMqlpzP6GhBgjeCq5v7Z2da/xcdTUDVowH9r1bIu6f/9N9vCnjvHcZcvT1H55JMc99GjFKinT3McBw7wcwYGWpfIY2PZLrZzZ7aDPXKEkczFi+mT2qkTt7lgAcVzly7AzTdzv737LjuHDRlCW68FC9jx7NZbab+1eTPHEhkJfPYZI6G2Tou//ALccQdF4tmzFF25uWVHHx96iJ/huusYMW7Z0v7zKlZk2+BLlygq//2X3cKSkoCvv+a+6NyZr1ePQ+vW/AF4jLZto9BNS+Pz1Wj6qVN8fuPG3H8VK5bclU6N2tvz883I4DaLNuhQFB7PatUowqtXL9yNTFGs3cxKmxBYLBT4qsfymTP0ED59mvtcTVOJiLC2mlZ/1I5sZkqLEAQj4rbAXbNmDTZv3gwAuOeeezBy5EjcdtttmDBhAlyoX3OauLg4LFy4EPfffz8GDhyIiIgI3HzzzR4X1oLgD1gs1s5Rp09ziVi9iatLxbSg4k9SEqN/SUn2l4udJSuLIlb92buXIigzkyJCXfauVo1iSO1elZZG8aFGAK+5hgKrbl0KmowMCqz589k6Ni2N20tIoDB79lkuzWdnU4Bu2ULRqTYFCAykEFNTJ9S2saNG8b0SE/n4/PmMVNapw4hmpUpshjB+PAXcmDEU21lZjNjOmsXl/pdfpoB8/32O4+mn2bGsTh2mFCgKfXGrVCksbs+e5TFTfX/PnOGxCAvj9sri/vspSq+7jsJaFaX2iIjgWPv25cRg7lxrQ4wVK4Dp0/n6rl0Lt5iNieE+UjuOpaWxi9nmzTye1aszUj1zJv8WE8PocIsWVn/gsoiO5uSlQYPCjxcU8Bw5dIjvN2MG00OCgihoq1fnT5Uqpa8UKIrVvqw0IXzxYuFJ365d1vNX3U5CgrUTnvqv2fKCBUEPNElRUAkLC8Mvv/yCe++9FwMGDECOWg3gYerVq4e//vrLK+8lCL7GxYu86R85omD16oo4fDgA589bTfnVG3BSEqOu6jJsWakCzmCx8MZ/4AB/9u2jmFZFWUEBhU7VqhRRikLxs307Re/WrVwibtQIuPFGCqKkJKtIOHOGAvXnnxkFPXGCf6tWjcKzc2cukysKc3LXrQP++YfiMyCAYj4oiGI6IIACKTeX4xkwgEJOFXH//ssl+0uX2DBh0CB+vkWLgC+/BNq3B557zpqju3Yt8NprFL+TJlEc//sv8N13wNixfPz995ne0KEDX7N3L/fTuHGF9+Pq1dy+Sm6uNQp94oRjx+Lee/lvly6MZrdpU/rzAwM5rvbt+f6ffMLo9P/+x4nBu+/yWFx/PYVjUSpW5N+uv55Cf/Nm7pOTJxmdbtyYx++bbzihqFuXk5B69eC0nVhAgLXxR9u21sdzcxllP3iQEd8jR3jMIyKsbZJr1XLOIxmwRoOrV7f/d9sJ5IkTPO9OnODnBHjskpMLi9/kZHGKEAQtcPsWVqNGDSxfvhwd/v/KrCgKPvvsMzz++OOYNWuW2wMUBKF0LBZGM48d48/Ro7yJqvPLyEhr29IKFTIxcGABKlQI9FgeYX4+o6z791OkHT1qLR5T7bMSEhixq12bwvbECUYFV67kcn18PMX29ddT8KqdulSysigWFi7ka44d43arVGFRVs+eFE+BgXzu+vWMoF68yKhfYqI1Sl2rFgXFzp0U1ZGRjFymphaOKG7dCvz+OwXpjTdao6ibNgFTp1IovviidWKQkwN8/jmjvPffTzGsKIwYz5xJgRgZSWHXqpVV3FoswMSJwCOPFI/y7drFqLCKatkVEmJtMuFIZPDee7lvunYF/vqL3dXKQlH4vLZtgTVrgNdfp9B94gnut99/Z+SyXz9OJuwRFmYtbLNYmD+9YgWFZ506jBZbLJys/Por90+LFpxguOPgGBxsdXuwJTOT5+m+fTxOmZkcY61aVuEbF+f6+yqKtaWzvX2ipv+oLaG3bKHwV7+7MTE832x/wsJcH48gmAmXBG5BQQEC/v/uOHHiRCh2rqhvvfUWRo4c6dbgBEGwcvEixaIqYo8d4/IrQEFYqRKLbho0YDSoaE5mbq4F2dkZSErSrkhGjczu3k07KdXiSo2K5uZyOTYlhRG52rUpdFevZiRt6lQ+R4243XgjI3hFnWAsFormFSsoavfu5f6Ijqb4GTeOQkiNsubmMkK7bBnH07w5f9av5zhbtmQKwdq1XH7Pz6cg7t27uAjasgX44w9G6R580Cp6z5+nPVdCgjVnVuXsWaYdZGVR5KrL3Nu2UcA/+SRF6aJFPE6dOllfu3YtxZA9QZeZWTjKGBfH9wKsUVzVrqssxo7lcerRw3GRC1C0tW1LkbpqFfDSSxz/vfdyn8yYAUyeDPTpw/1ckuBWFGuagcXCY7pyJf+tUYM5yxUqUOx+8QX3ZdOmfG+t+gdFRfE8aNLE+lhWlnWVYflyfqbgYB7/evV4nmhllx4SYi2WK4rqNKF+11es4L9qIVxCgvU7X6kSRbQgCFZcErjXX389Jk+ejIiICCQkJJT4vIYlTeMFQbCLKhjV4qrDh62V45GR1ptZ27YUhd5uvHfxolXM7ttH8Rgaymigmm6QmEhB26ABhd2xYxSWU6YwUgcwQtatGyOXlSvbF0H5+axwX7KEQurYMYrmypWBoUMZEa1Ro3DThD17mFt6/Di3feONFLorV1IADxpE0bJsGXN1s7OBjh2ZwmArUAEKix9+4H5++GGrsFTTERYtYk5urVqFX7d/P3Nsk5KA996zFjkdPMh9oIrb06dZlPbcc4VfP28e388eRfdTfDyj9wBF2qZNVncDR7jzTh67Hj2YY6vmzTqCovD5bdpwzM89B9xwA63MLl0C/vyTebrdujG9obR0A0XhxKZuXe7fgwd5nHbv5rk0fDj355YtFM8nT/L8atuWExIt81nDwvietjXKOTlMW9mzh+dOejrPh3r1+FOrlnttgu1h6zRRtF5aXbVRxe/27cCxYwHYsaMeNm4MQIUK/J5UrcpVjXLlJOdXMB8uCdw9e/YgNTUVf/75Z7FWvLm5ufjyyy9x3333aTJAQfBH1GIYWyGbkcG/JSUxd7ROHRYDxcbqd3M6d443zx07eCMNC6Ooysmx5vAmJ1sFQUICBfnatXQA2LuXQrVyZUb5xo3jTbekz5OXxyX8v/9mSsCpU3yfqlWBu+/m/mDXLSuZmRS1a9dSIPXpw335559MO+jenWJ3xgx+lvBwRi47d2bUsmg0+9Il5vKeO0cBaxsRvXyZ0cRKlYAXXigu2nbv5tJ93brA449bRc/Fi3QgePxx6xLzhAl0Q7DdhuoyUFRsl4StuG/ZkvmwzghcABg9mv/26EF7MDVVwlGCghj57tyZke65c4GbbuLkol8/Lv0/9xz/3qlT2Xm1imJNJ7BYeAz/+IOitmVLYMQIir7duzn5mTCBz732Wn5nPPFdCQmxCvA+ffhYRgYF7/r1FN15eTwv6ten6C2aVqMlau58QgJdQgAgN7cAs2fvQc+edXDhQiCOHKEoX7GCOc4WizXPXf2pUEEszwT/xSWBu2bNGvTr1w9t2rTBnDlz0LBhQ+Tn52P8+PF4+eWXcfz4cRG4ggBrpEUtrjp0iGLH1s4oJYUiTO8u0RYLI5/bt/Pn3DmK6woVKMrCwrh8q+ZRNmjA/+flUWxMmcKb6dmzjBilplI81alTuqjJz6eYXbiQEbqzZ/lYUhIFoOobW5S9e7ncn57Ogqnnn6fIHT+egmf0aIqQ336jQAkNpVju3JnRXHviY9065pLedFPhZWuAx+6rrxhNtLc4tXs3BWbdusBTTxUWDl9+SRswNb1h925GAItW6K9fX7g4qij2xlytGsdWowaPx9mzFD7OMHo0j1GvXpwYpKY693qA7z10KCc4kyZxO7feyrzanj2tQrdbN27fEWGlKNzXDRsy7WTDBk4UcnIYFR4+nJOI/fsZWf3hB+7/a68tHN33BNHRFNyq3ZrFwlzk3bsZuT5+nOdc/fosjqxdW9vCzZIICOCkMzm5uN/xhQucTB85wu/a8eP8ToSFFRa+lSpJoZvg+7j0dUtISMCCBQswatQotG/fHuPGjcOECRNw6NAhDBs2DM+oDuSCYCJycnjjUMWsWviUkMCbbYMGvNFHRek9Uivnz7OqfdMmCqOKFSmYqlWzdh1T8xQHDbJGFi9coKD4+29+1oICLtPeeiujpY7YPe3fT9GzYQO3d/my1Zqqe3f79kwWC/N3//qLS6+DBnGisGABI6pt2rDo6eRJCt3QUD5v+3Zut3Vr+6InM5P5tNHRFGFF85fXr2dh2OOP2/9saWnAhx9yLI89Vli8rV1LwV+/vvWxadOYA1uULVusLgeO0rgxJwg1alDYLVvGz+osaslEnz4UaJ07O78NgHnBY8dSdH/+OaOZAwZQPHfpwmP33HP8LrRv77gIDQ62FqhdvMjJ1GuvcZ9368bUCMCapnLoEL9zqamlW31phaJYC8Guu46PZWVR8G7YwImWxcLvScOGHJu3U4xUb+HGjQs/fukSr12HD1t9hXNyKHKrVWP+cY0avD4462whCHrh8nwyJCQE/fv3x/Tp0/Hcc8+hZcuW+Ouvv1C7dm0txycIhiQjgzmoe/cyX/DiRd6Aq1Zl9LBXL94MjLb8l50dgHXrFGzfzptZXByXONu04WfZu5c35RYteJO2rSA/eZKCdOFCpleEhlJs3HILo9CO3PgyMph3unQpI69nzzKq1aABRZlqEVaU3FxrI4VWraxL/YsXMxWiUyc6GGRmUtjm5vIzLFzIsb30Usnj272bkb9bby0sQlXmzmWKxv/+Zz+qlZnJyG1oqDW/ViUnh8vrtnm2x48zTSI+vvi2Ll8uPT1BbTBgS6NGFI3XX89o4gsvMBfWFUaO5Dnbr597IhegKHrmGeZPv/gihXO7dhynmg7x3HP8rrRr51y0NTKSk6Du3Xkez5sHfP89z+NOnRj5t1joOjFnDsVb06b8mzeLscLC+L5Nm/L3vDxOCHfs4Hfp0iWm76hRamcj71oREWHNJ7ZF9ak+dIjfA9VPOibG2kijRg2ey5LjKxgNlwTupEmT8Oqrr2Lnzp3o378/6tSpg3fffRd//fUX7rnnHq3HKAi6Yitm9+3jRT8qikuO9esbLypri+o+sHYtsHVrAPbvr42BAykoatViZGnFCn6Otm2Z32ib13nwIAu0li1jtDciglG31FR+fkduahYLI8Tz53MsWVkUhRERXNLu2rXkiG9ODgXKP/9QnLzwAgXx8uW84bZvz8csFgrJbdsopJYu5U35mWcKd7IqOq4//uBxVS27ivLHH8xfVJsv2NvGJ5/wpn///cW3MWcOxZxtRHjePPt5spculTzWou9pO5bwcGuXNTXavnGjNTfTWW69lf9qIXLVQrRWrZj6sWABJ0Q1anD7PXqw+cULL7CzW9HIoiNUrcoUi7w8nicff8z93aULhWVKClcjNm+mCL50iedNu3bet9wKCrLm8vbrx2N57BgF748/WtN7mjbl8dNL8KqEhVnHa8uFC/x+qcWA585Z065U0Vu0i5wgeBuXBO6wYcPQt29f/Pjjj2jWrBkA4KqrrsLo0aOxf/9+vPPOO1qOURC8RmlitkEDFtN4e1nRWbKyuNS9bh2jhdWrU2C0aFGAr7/OxMaNCvbtY7RvzJji4jItjZHR5cspmsLDufTdoQOXKx2N1Fy6REGzYgVv5KdPUwhWqQIMHFhytBagWJk/n2Po2RN45RU+d88eFoA1bcqc25AQLs9PmsTnhYcz93PkSN5kSyInh8K0bl0Wvtkbx++/80Z+++0lj3PuXEbvO3Uq7qaQnc1j8NJLhR//91+KvKKkpdm3i7IlIYFioqjwufpqirvOnSkaP/vMdYELUOQGBVGETZvGFAB3CAlhXvPp04yWR0VxMhURAQwezDFPnsw0kGHDSm6cUBpBQdYOaqdP89ybPJmR/G7d+G+LFjwvV60C3n6bKSmdOnFSoMdqi6JYbcLUfXz6NL+/P/xgTRu66ir+ONrpzdOorapt89QtFvtd5EJD+V2sXZurW+LoIHgLlwTu6tWr0aZI+5vhw4ejSpUqGDhwIA4cOICpU6dqMkBB8BTqcuGuXRROGRm84alitk8f34lAnD3L3NQNG/h706ZA//4UcqtW0W82MTEASUmXcPfdBQgPL7xef+YMo7TLllFABQVRNHXpUrpQtMfRo4zK7d9P0XDyJB9v0YK5mKWJOIuF4vrvv5kioaYWnD3LG35wMKOpsbE8Xl9+SfF01138uyp8S7uBnj/PzmH9+hUvwlGZN8/qolDStk6c4FjDwlhIVZSlSymebF9/5AgFvr1tpqeXLWAqVeL+LSpw27RhDnDnztxGZCSXlt1h2DAev4EDKRSddWewR2IiG1hs2QK8+irTE9q35/fu9tt5rvz8M9932DA+39X3uekmRoXXrwc+/ZTf5V69uAzfpQt/Tp3iMZw6ld/7Ll28k69b1tg7d+aPKhq3brV2eqtcmcKycWNjrRwpCgtSK1TgtUMlK4uR3v372SDkzBke3ypVrKK3cmXjpXMJvo9LAreouFXp2LEjVqxYgT6qj4ogGIjTp5lvuXs3b/4BAYy61a9PIeJsm069SUujqN28mTlx7doBjz7KJc+lS1ngU6MGI1o33QTk5xdg9uwLVyq5s7KYfrB4MSO9AJdzb7uNN09nbzg7dnBJOyeH0cuLF7k03LMnI99l3Yx37gR++YWFYC+8QDFbUMBtbtrEqKcaJV2zhtG+4cM59m+/padrWRHQtDRGbseOLVnIrF/PVIeS0hJUJkyguB09uvi+slg4WShab7tlCyPX9lAnWKVRpw4jwEWjs5GRjJSdPk2BNGgQ8MsvAcWWlp1l6FD+O2SIdiIXoEBLSWF0+LXXKG4rVmTl/0MPceL51Vc8noMHO26bVpSAAJ5PrVvzPJk7l22Wr72WaTZJSfxsgwdz1WbWLArK9u35HL27htmKxm7drCkNW7bw+33xIldVmjUrnj9rFMLCrA09VPLzOVHbt4+TyWPH+F1PSuJ3vFYtXrvEyUFwB81NSxo0aIDVq1drvVlBcIq8PAoBNTp7+TJv/PXr80ZRUhTNyFgsXP5btYpisHx5itfrr+dNeelS2mbVrMnmBSNHFv6M+fnW9qiLFnG/FBRwyXDECObgOntDsVgoCP/8kxGyy5cZ+VTbwPbsWbZIUJetIyPpQKCKvIMHKSI7dGAxkqJQlH/7Ld/rySdZUJaUxL+XVeR2+DA9bB95pORCo4MHKXKeeqr082PtWgrwqCgKjKIcOkQBXXR/7t5NMWePy5fLbgtbpw5Fmj26dWPke+hQCkOLBThzxn2FNnQo98WQIXQC6NXL7U0C4P676SZOOiZMYDRv4EBrW93//Y9C7s03KVB79XLPZqtCBX4ncnKY+vL669bWzpUrW3NNs7M58XvrLUbKu3fn40a4XtimNPTqZb0mbNoEzJwZgN276yE7W0Hr1p63SXOHwECrW4vqOKGmMe3fz9SeqVN5rKKjuf/r1KHwLepwIggl4RFXviR7ppWC4EGysihmt29nVEDtjNSgAfP7jJ43WxpHjtC6Z9euwhHZs2cZJfzjD4rd1FSrGCnK+fPA/PkKfvmlIapUCYCiMC+3e3dGzpyloIAiYf58isWCAqunZq9eFLdlieW8PN7E9uxhzqead5mXx5zatDS2xlWX4/fupRC66Sa+5xtvMPJWUkTUloMHKYxLsvkCmJupNmMobewWC6PKwcFWa62irFrFKGBRSktDcCRiHhHBcRYtNAMY1Z08mccgIAAYNKgAr75ayW6+r7PcdBPF5Y03MspuLyXDVSpW5IRixQpG7m09iJs04edauJB/GzDA6jvrKiEh1hSAvXt5DmZk8Lxt3pwC6rrr+HP0KM/xH3+0OjQYaaVHUXhNqFED6NOnANOn/4vq1etg8WKe87Gx/EzNmtl37TASisLJalJS4RSH9HQep61bea3LyeFEUBW9EukVSsILttOCoD0XLnBJfPt2CsDQUIrZ1q2tN2Nf5tQpRmQ3b6YA6NSJOYlqdGnKFEY8U1MZwbX3eS0W7qO5cyk+c3IUhIXlYfBgC665xrV9ZLHw/WfPZjRFbTmblcWoce/ejrUs3b2boqF7d4omVawdPcooa48ejCqrzJvHSPGTT1Lof/01UwgcsXxKS+Pzn3yyZHFisXDJd/jwsvNgV6ywrgCU9P47d/I8tCU/v/Qoc0AAn1MW5cvzM1WqVPhxRaGYWbeOYqxqVaCgQEFamv0os7MMGsT3uPlmYOJE17x2S0JRGKlv0YIpBAsXMv9Z7eLXpQsnDJMn81y45RYeA3epUwd44AFeT+bOZcpEhw4UvyEhjJSOHMlJ19q1TG8JDeUE7qqrjBchDQ62oFkzXgcBrqZs2gR89x0nudWrcx83bOg7ojAmxlogqHLuHEWv2gI8J4crdHXqUPhWr+779wDBfeQUEHyCs2e5XLl9O8VfTAwv0j16+Ga6gT0yMhiRXbeON/Zrr2WhWEAABeGnn3I/XHMNl/JLWvrPymJe7bJl3C85OUzN6NGjABs27EG7dnWcvvirqQjTp1PYJiQwUp6fzyjbgAGORcmzsiiOLl5kQwZVcFosFC7//MOorVpclJNDcVquHAWqWrz29NOOCekzZyhKHnmk9Mjb4sUUhPY6lBXdD3/9xeMzfLj955w7x2hZ0Yjs6dPMMS2JwEDHBG6LFiwmLCpwAX4f3n2XAhcA2rc/it9+S8G4cWVv1xEGDuQ4R4zQXuQCPIfGjGF60TvvMO3i2mt5HoeFUdiePMnJUUwMVyy0iKjGxnJCMnAgVyZefpk5rX368FwPCmKOe7t2PI7z5jFd4+qrKYZdzRH2NPHx1mi0ms6wcSO/R4rC727r1oXbUfsC8fHW3GpATceh6F25kqsMeXmcDNapw+tfaS3CBf9EBK5gSDIyuCS1eTOjjwkJvBjfeKP9tq2+SkEBbzgLF/KCnJpqbRZw7hwF5caNjEqU5UCQlsZc2H37GGXKz2c0qksX5qzm5ro2xp07gV9/ZVSkUiWrO0LVqozmlZU3qrJrF4XJoEGFozGXL1O816zJoiz1JnTuHPDBB4xQN29OoRsby4ibIzeqy5fplnDvvaVHes+dsy6Bl8XOnZxQnTtXcmrHzp1svlCU48d5wy2JqCir40RpNGnC/WIvTSAyksfo33+5dJuUlIVLl/i7uwVnKv36Udx6SuQCHOvzzzOi+sYbFL3qpCc5mcWU27czT7ZtW+Z6a9FhKziYYrBTJ27/66/5Xbr+euYIAxzHsGFW39333qPg6t27uFWckbBNZxgwwGonOG0arx3Vq1MwNmrke9FPReFxSUy0trq2WBgM2bOHuelHjlj3Qf36/DGK7ZrgGXzsNBb8laws3lA2b2aUQTWs79+f0QV/m3kfPcqL7r//UryNHk0Rb7FQ2P/1F//fpYs1ilsSe/ZQCF++zN8jI3nDb9nSvf2mRsoiImi/9c8/nFwEBRV2NCiL/HwuLR87VryhwtGj9GwdPrxw9PTIEaYMjB1LIfnee4xKduzo2HtaLDT8v/lm+5FOW775hoVfjgikOXOsvqQlsWOHfbeBjAxGHUsiNpYRqLJQJyu5ufaj2DfcwOP2wAP8/aabCvDll4F49lntvkf9+jFKdvPNbJ4wcKA227VFzfk9coRR+DZtmCerfoZGjdghbcECFhkOGeJYPrYjKAqdRBo3pvibOZOpEz16cByKUth398gRnhs//MBztH1746cAhIXxs7RpY20Is24dryWhobwutWqlf7MJV1EUToaSkznRBzgpOXSIK2IrVjA1JTKS0foGDXhNc2RlSPANROAKupCfz4vMxo0UeaGhvGF16eJcMwFfIiuLaQMrVvCi26ULi6sUhUv2s2bR9qthQwqu0qKOFgtvRnPmcN/l5lKIDhhgjTS5M87Jk3nDa9+eAiInh39r1cq6ZOwIJ05QqHbsyCVg29etXs28x0cfLXwT3baNEeNx43jzeftt7qsS3AntMmkSJ0j2Iqm2bNrEqE/NmmVv8+JF5kDv2cPitpI4dsx+pD0zs/RjGhvLPElHaNaM3x17+0RNgzhxgv8mJHCZdt0665KuFvTty/08dChXIkrbJ+5QpQqjubNn0xf5jjus+zcggGkM7dtzLH//zZxZV/1z7VGxIi3oLl7kxPPZZ3k+d+pkFUNVqjDKnJXF3PlXXrG27PaF5X9FYQS3enWusFy8yPPrhx+4WlGnDr/79ev7tl9tUBCvj7VrM+IO8Hu5Zw8/75QpvJZWqkTRW7++fwZYzIIIXMFrnDrF3MFNm3gjqF+fF82hQ7VZXjQqR47w5nzsGFMQ/vc/a3Tn4EH+7fRp5vKprWhLIi+P+aKLFzOaarFQBJaVvuAItk0WunfnjW39ekYMY2PZTMEZX9A1a/jZ7r678E3eYmH+4tmzTEmw/byrV9PC7Omn+fubb3J52JnI3Lp1HPvNN5f+vIIC3tCeesqx7a5eTe/Ww4fLjs7ZuyGqnqUlkZDAPEJHaN+ekdOSRP+AAcC0aQFXnCkGDmReaYsW2n7X+vThZGjIEJ6bqm+u1igK36tNG6YN1KvHlQ313ImI4KTw0CGuCDRqxCizlkvtkZHcj9dfz+/JCy9wlaRnT2v+eVgYvzvdulE0TZrEa12vXpxw+YpQioxk1LNDB35f9+7l9+rXX5mS1KYNzyW9fYK1ICqqcBGbxcKo/e7d7MaWlsaJTO3a/P7Xq+c7DYDMjghcwWPk5DAat2EDo4GJibwh3HuvsTrweIK8PKtYS0jgDU5d0rdYWJE9Zw5Fat++ZVe55+VReC5bxhyy4GDehIYP1yZadfQoPWUbNmQO4rx5vJDv3cuImDNR4YICLudmZlLA2i755eXRJaFqVQpfW5Yv5z577DFu4403KCgaN3b8vc+fp5XQc8+V/dyFC5mv52iB0D//8AbXqlXJz8nIKPnczskpffkzKMixIjOAkeDMTG7TntiuVYuC+vx5/jEsjJH3v/6yRq60omdPq8gFPCdyAX5fnnqKAvPFF+m0YJsqU706I6xLlzLqe+ONTK/RkuBgCtiuXTmJe+stRmuvv966EqEo1jzPc+f4XZ8yhcegUyfjpy/YolouqjncZ87wc7/7Lv/WogUFr6+mMhRFURjBrVTJ6tGbk8Pahl27eCyzshjZT0nhjz/VhfgTInAFzVC77KxbxzxSgOKke3fzVLCeOcNl9127WGH9yCNWAZWTQ1G1fDkjko88UrbQz82lsF2+nDeYsDDuxwcfdLy4q6ztT5nCSPLAgcy/K1+eaQ/R0YxSORPxy8gAPvqIwrFLl8J/u3SJRV/XXce8RVsWLWJk/+GHeR69+y5zSZ0Rt6rV15gxjnnwLlpEkeQIWVkU3bt3U9yUxMmTJReSOXL+q1Zhjuzzli0ZYW/Xzv7fBw8uwFtvVcawYfy9e3eKvg4dSs8FdoWePVmsNHAgj0NZ0XN3UBSeQy1aMJpbsWJha0BFYQpB69bME54/X/u0BfV92rbl93zHDraNjolhZNl2NSU+nkVpubkU3qpDQ+/ejtncGY1y5Tj23r35nd6wgTZk6emcILdt63/X+5AQq5gFeI4fP87j/uuvXIGLjGQeb8OGDEL486qkryACV3CLvDx+yf/5h8uDVaowwtWzp7k6zuzdy+Ws/HxGa4cNs17gL1ygu8HOnbwxl5WGABSO2DZsyIvn5cvAPfdod1NUXQ169eKNeepUvteWLUxHcDbl4dgxuiHcfnvxiG9GBnNpb77ZepNQWbaMxYUPPsh99sEHFCjOFgz9/TfHry7Ll8bSpYymObqEvX07x711a+kR33PnSo5kKQpvjKWRnEyR7EjzjQ4dGA0vSeDWqAHk5QVc8cENCGDE/8cfuYqiNd26WUVuQUHJNmpaERvLPO3lyzlRGT2an1klIoKPeTJtAeBxbdSIP4cOMZqdk8NcVtvvQXAwJ32dO/Oa+e23HEufPoz0+iIREdZUBvVe8NdfXLGrXp1iNyXF/8SeovA7WrGidSKfmclr6sqVXMFSFK4uqG2KjWol58+IwBWcJiODkaN167gM2rAhb27+WhxWEgUFTDX46y9e6IYNK5xreuYM8PvvnOn37UtxV9b+sVh4w547lwKvXDlu5447SvdQdYacHF6Az5+nkJ04kTfiyEj+7bnnnBcB27cz39BeG9wLFyhub7+9uPPChg28IYwbRwH2/feM2haN8JbF+fMUyo5YfVksjKQ7ksagsnUrx16WeFY9cO3hSCOHmjVpw+aIwFWbIJw/X3I0v337Y5g6NQUPP8zfGzRg+omWtmG2dOvGVYB+/fhZb71V+/coSocOFJdffcX9N2hQYUFVNG3BtlOa1lSvDjz0ECcp06Yx13zAAO53FVtBfPIki0t/+YXC19UGLEYgKIj7tUkTq+fumjVcIYqNZaS7ZUv/DXxERTG4o6Yw5eUBBw5Q9C9YwGh3cjLvl40ba7+iIBTHR79Kgrc5epRR2q1buUzesiWXgs3oI5iVxQvWqlXcD48+Wnh2fuIEo6Hp6by5ORqd2bTJGkWtVYtFKsOHF45KuUtaWiRefjkAAwZQoH/9NQvfFi+mGHElkrRkCUXq008XLzo5c4YWX2PHctnSlp07Gdl+4gkKkgULOKbSUgBKYvx4LkM7UuG9aRNvws7kQR48yIh2nTqlP+/ChZI7bEVG8iZXGnXrcn/aa/Nrj86dKdZLsulKSrqMc+f4/VUj8rfdxmPywguemZB27mwVuRYL38/TxMezxbKamztmTOHzzTZtYeJEPm/kSO1TNVSSk3nOnz1LoTt5MlMXGjcuvM+Tkznxy8qyejG3bMl0El+O+Nl67gLWvN233qLAbduWQtCXW6iXRVBQ4dxl1ZdXDQacPs37Z+PGvOZXqmSuAJE3EIEr2MVi4exz5UrmHVauzBl4377m9QlUrby2baMIK5pqcOQIoxV5eRQcjvrE7t8P/Pwz97Fq/zRoEH0otaKgAPj1VwVr1lTAK68U4PffAxEZyeXDbdsY4XKlInrmTH7uJ54oLi7Pn6eQuvfe4l60x47xM6uOEjt2MBr++OPOj2HrVgoVR/f3/PkUQI6Sm8vjvHdv2X6v2dkl78fISJ5DpVG1Kpd3HaVFCxbVDRhQ8s3xppsK8NNPgVf2bWwshd78+RRSnqBzZ05e+vThtWTkSM+8jy1qbm6TJozmNmhAkW17XkZE0PJrzx6uKnTqxLF6SlgkJHD15cIFiv5p06yNS2zfMyyMOa29elEIvvMOz4UbbvCPSJ9t3m56Oj/jBx9wH7RuzXuLFh3pjIytL69avHb+PK99f/7Ja2JEhDXCW726CF53EYErXMFiseYQHTzIZet27RhFNPMX7cIFiogDByjwb7yx8P5IS2OhAUAv0JIiePa2++OPFJ8dOlBwXHcdvT619Jo8e5ZG+W3bAtdeexSffJKC669npLB5c8dSJ4pisTAqdfkyI1VFX5+ZyUKxsWOLi9uLF5mr+8gjtNs5e5YpE8884/znVi3HnnjCseefPct/S0ojsMfhw7zZ7N9fdppIaU4JkZGM4JRGYCDPB4vF8aK0Bg14kyzJ87diRaYw7NhhbabRqxcnaO3aeU5YpKay4rxXL6YrjB7tmfcpitrW+e+/+V26887i52C9evz8M2aw6Gv0aPdt9kojNpYrJJmZnBROn06xpzaNUFEL19q25bV4/HhOAPv313YlR09iYhgg6NaN14J//mGOdG4uo9dt2zr3/fRl4uKszUIA7o8dO7jCcOgQj32DBvxu16rlu+kreiG7y+Tk5yvYtInRsxMn+GXq0kVmjwCXkKZNoyjp18/alEHlzBkK24sXaY1UdAm+JPLyeJPbvJk3/6VLKZ6feUZ7f0W1M9HYsYxazZ9fHfffX4A//wy0WwzmCBYLc2UjI+0vP2dlMQJ1223F90l+Pp0URo6kEMnPp/geO9a1z75kCW+KjtrOLV5c3N2hLPbv583lwIGyvxO5uSWnPkRH02qoLCpXpqguyzpOpXt3TpRKa2oxdCij6c8/z88QGMic8R9+8EzBmUqHDlaRC3hP5CoKBVSzZnQ3aNqUk1Pb4xcYyMh3+/Ys+KpRgxNUT65QRUVxQnnpEj2iZ81id7T27YufW2px0rFj/A6fPcvP4Et+umURGclJ/XXX8bqxfj1FfWYmj90115jLgisykhFttSFLVhZXUNeuZVpDQABTHho1cqw5jdkRgWtiTp8GfvutHgYMUDBggGOFLWZh925GbQcOLF6Mc+ECUxFOnGA0t6y8TFvWruV2O3fmRWrePIo9R8Wxo+TlUbzk5DCa9dNPvKE3aHAGCxfWLdYy1xmWLaM4vf56++/77rv0RLW3XyZMYC6kuk8nTaIIcuXz5+Ux6u1IYZnKli1c9nWGgwcZjXRkf4WHl1xEk5TE71xZNG3KcToqcJOTGfU9fbrk5eyYGC57rlhhbVuakkLBv22bc3ZsztKhA8/znj0ZsRo0yHPvVZSkJOaGz5nDSO3YscWj8MnJ/I6sWsVzaejQ0lsxa0FEBMV0374sUv38czqk2KNSJXpGX7hAQTxlCj1427f3r4heWBg/U/v2vG5t2sTrVqVKvM6akbAwXg9UL+fcXKZKbdsGTJ0aAEVJ1NzX2p/wo6+H4CyJicDNN+9G7961TZtXWxL16xdf9s7KYhHY3r28OZXVBtaWkycZJapShQJrxgze8AcP1j4ac+EC89u6dqVwefttvtf27cDp0xF4550ChIa67ttTUqtei4VFa5062d83K1cyAnHttfx9yxZGpVy1k1qyhMLT0XP3xAkKc2dFwalTFNOOTABvuaXkv8XHW1MkSqNRIxYc9e3r+Bj79mVEsDTXghtuYAFW27bWfXDrrcBrrzGy68nmA+3a0R1EvRl7U+QqCt+3eXMuhaemMmJYNDXgmmsoJCZOpEeyJ4vQVMLCuDrkCLGx/K5kZ7Mg8/nnmbvavbt/dBSzJSSE6RvOtOc2A8HBVj/e3NwCzJ7twIzZxPhwV2lB8A4FBYwUqgbtzz3nuLjNz2fE9osvGA0+d47C7plnShaK7rB3LyuVR47kUvdbb3FJdMkS/t61639u5/eWNOYZMygg7TkAnDhB6zNVgF2+zPQOZ4q9bCkooAjp3Nnx19hGL50hN5eTBneXSh3xwQUY3bt8mZ/RURo0YPpDdnbJzwkJ4aTnzz+tj0VGUviqOeSe5KqrGEl96CHmb3ubihVZTHnqFFNoMjKKPycyktZ5PXtyYrh4sWPHzJuEhlKwv/wyi9hefZXHLzNT75EJgrEQgSsIpbBlCyMlubmMfrVu7bgo3buXS55RURQWP/zAaMuYMZ7pZb5oEW90Tz3FiPF33zHnceJEphN06eK5O/XatVzKV9u12pKXx8jZvfdaI4fffcelYFcjT6tX81g4s/KwbZvzS8+quLlwQbtoniOCSc35dRRFYeR80aLSn9epE/McL1ywPnb11fRqPnjQ8fdzlcaNma7w6KP6iNzAQPrg9u/PVtAbN9p/Xr16/N6fPs3nOZJa4m0CAjhhe+klpgO9/34AFi6sivPn9R6ZIBgDEbiCYIejR3ljW7eO+Xm9ezu+tH35MvDNN8yXu+MO5pLt30+xa2v4rhUFBSzM+O8/jnXBAqYD3Hor0yLuucdaPe8Jjh5lVPCee+yL/59+YiGN2sJ2yxY+z508x3nzuE1Hycri8XM2PSEri5OR9HRtWiMnJjomlpo1YxMMZ7j2WkapSxPQigKMGMFJjy2jRzM/2pmosaukpNDh4NFHvRM5tkfdulyJWbOGlmI5OcWfExTEFKJbb6Xrx+zZxovmAjymLVsCzz5bgDp1zuPLLwPwxRec5AqCmRGBKwg2XLpEcfrzz3QBuP1254qxtmwBXnmFN5xmzbitQYMoKjyR55ydzeXWmjV5I54wgY91787/P/aYZ4sHs7NZIHP//fY/3+7dTMtQbXCysylq3PFFPXiQhSfORH+3b3cuZ1olI4OR2/PntYngVqvmmM9tw4YcszMEBTGH9J9/Sn9evXoUsv/+a30sIYGpJbNmOfeerlKvHkXuY4/xu6YHoaEsOmvZkqszJTlcVK5s7Xr30kuc0BmVatUy8MQTBejenU4nH3xARw5BMCMicAUBjMwsWcKCmzZtnBeGWVmMBK1YATz4IIuEjh9n1NZTdi4XLnC8PXsyevfBBxRQtWuz0vqpp7SJOpaExUILpiFDirfnBRgV++GHwtZQU6Yw59Odohhb2ylH2byZEw5nychgiklWljZdl6pXp79lWQQF0VbM2eXm3r25f8qKNN56K6O4ts/r1o2rDd6K/Kki98kn9RO5AAXuE0+wgHTyZPtRbLVQ7Z57KBzVhi5GpVYtXsOGDGG78LfeKjyhEQQzIAJXMD2HD7Ng4/RpClJn+9Tv3MnXt27NSOWHHzLndehQ5vx5gmPHeNO6/XYKhTffZKV6TIxVNHi6DebChbRYUi1sijJpEsWs2kjgxAmKO3cqo7OyWCTkrK2YM76ytqgR3NIaODhDtWqOCVyA59Patc5tPyKCy++bN5f+vNhYtkpdsMD6mKIwP/zLL723FG8rcoumTXiTmBgKwvh4RmlPnLD/vKQkThzLlWPUd/9+747TWSpXBh54ABg1ivnZr7zCzn9GTLUQBK0RgSuYlqwsFjtNmsTIzKBBzuVo5uUxmjNvHjBuHHMmV6xgpXa9eh4bNg4cYNHWo48yp/ONN2g1lJdHK6ZHH/V8O+UTJ+iHW5I/5eHDjGBffbX1se+/Z9qHO84Rrjgh5OWxIMeV9710iaKxtAYOzhAbW7jAqzRatmRBmLPccAMbiZRF7950CbBtH1yxIu205sxx/n1dpV49iq///Y8Rf71QFBaDjh3LtJsFC+wLQbUl8LhxdEj5/nv7ObxGIimJHd3uv5+FdS+/zGi9CF3BnxGBK5iSTZt4kb/qKkZunO33npZmrV4eMoRdoho3plD2pCflrl3MrX3iCeYQvvUWO1KdOcNo38MPe978vaCAAmDsWPutddVOZ6NGWR/bsYN5nu62Q129mpFqZ3A1egtQHAcF8V+tovEhIaXbealERvJ9L192bvvR0dzPO3eW/jzVUeCXXwo/3qcPiyvT0px7X3eoXZspQs88w0mnnlSowJzbM2eY316S/VZsLNtNN2jAaK6zOdN6oLYMfvhhjvfFFzkxF6Er+CMicAVTkZkJfPQRxeCzzzJK5iyLF3MZ9777eGP46ivm3dpGKz3B5s3Ab79xOVdRmJZwyy2Mpm7cyDF4KiXClmnTWJBUoYL9v69Ywaic6htrsTC30Z6FmDOkpzMy7azF2r//Fu9G5yj5+dZ9qpVncZ06jrXsBXhOlVU0Zo/+/YEZM8q+vF91FferrSWZonDy8tVX3hU+NWtS5D73nP4iNyCAqxP9+gGvv06LuZK4+mpGnxcv5sTP2QmJHkRHs2nEuHEsBH3xRU5qROgK/oQIXME0rFzJm5XqRetspPXyZRZyHT3KCOq0afS6feYZ5yPAzrJ2La24nniCouvNN+lEcO4co5r3328/mqo1R49SMHbtav/vOTlc3h4wwPrYhg0UdbGx7r33ypVWNwZn2L+fRTeuoEZwAe1u/vXrU1Q4Qrt2/NzOkpDAfNK0tLITsUeOpKC0La5KTqZwcyTVQUtUkfv887S405t69fj9XrCAOcL5+fafFxlJn+f27bkytGWLd8fpKlFRbATz2GOcdL3wAidUInQFf0AEruD3XLjArkQHDrjuRfvffyzQ6NoV6NKF7gUtW1IceDolYMMGq6VSQQE/y6hRzJ2cN4+dobwRubVY6Lc7enTJ0cw//6Srg5oDbLEA06cXFryusn49C6Oc5dQpCjZXUCO4QUElixtnqVsX2LPHsedGRXFf2+u6VRYDBxZgxYqyc0ISEti+d+7cwo/36EGh5m1brJo1GQ19+WW2ftab8HCujlStyjGVVIAGsED12We5ivHFF8zz9wUiI5mu8sQTLIJ8/nlOnEXoCr6MCFzBr1mzhnmqgwZxSc6V4qulSxnheuwxRvQ+/ZQR09atNR9uMTZvpsH8o4/yZvPOO4y45OfT1sgbBWUqCxdySbsksXjxIsW4bRHYxo30dHXX0SE7m5/flfzmggLXo9uBgdzXah6uFqiteB3lmmuAVaucf5/ERCAmJge7dpX93J49Gbk7e9b6mJqq8PXX3mkAYUvNmvzevfqqMUQuAHTsCNx9N9MQliwp+Xnh4Xxe27bM09+61XtjdJeICKYSPfUUJzbPPccVBBG6gi8iAlfwSy5dAj7+mIUUzz/v2hJ1Xh5vrvv2McduyRJWez/zjOsRQWfYtg2YMQN4/HEKrfffZwFQXByLuB57zLMFbbakpzOqdv31JT9nyhROJGyju7NmcczusnWra53PcnPdmwAEB3MbgYHa+p4mJ9NlwhHatOFEzRWuueYopk0r+zKvKFyNKJoWkJjIZfc//nDt/d2hWjWryP3yS++/vz3Kl2eE9sgR2gGWNlFp1ozXimXLmM/sK9FcgCJ90CDg6acZsRahK/giInAFv2PbNt4Ur7uOPrGu2DudPcuUhEaNGPn95BNGsR56iO4FnmbPHkZoH3uMIuuTTxgZrVuX/3/oIec6rLnLL79wP5SUCpGezqVN22YKe/aw45jqg+sO69a5lp5w/HjJxXCOEBLCvOLwcG0FSrNmZXvVqoSFcR+60oAhKioPVataHMoJrVGDwruo927XrswZ1qMjVrVqXO5//XVGTo1AYCC/C1268BpRWrpJRASdVVq3ZjS3tGI1IxIWxvSip5/md+m55yRHV/AdROAKfoPqS7toES/IjRu7tp1//wXefRe44w4WBL3yCpCaygu9VpX0pXH0KPDjj6xwDgtjl6e6dRnJe+895sB6uqjNlsOHmX5QWu7yzJmsOLdl+nRW82tBWhrFsrOcPMmom6uoEdyoKNfyYEviqqucK0Tq0qVwUwZn6N/fgmnTHBMlQ4cyWmsr5hUFuOsuRiH16N5VuTJF7ltvMT3IKDRuzKX86dO5elHa/m3enNekJUu4KuRL0VyA16GBA7mSdfAgaxnEXkwwOiJwBb/g5EkK0dq1mR/ras7n8uXAr7/yxpWXR0E5dizQooW24y2Js2fZxOHhhxmhXbCA+ae9ejFy27ev644ArjJxIjBiRMl/v3SJUSzbDnBnzvBfLYR4RgYjmK5MLs6do5uAqwQHM4IbHa2twI2O5qTBUYHQuDHTbVwRFNHRnJysW1f2c0NDuTRdtHVuQgLPwZ9+cv79taByZeYhv/MOU4+MQlQUJ6IxMbz+qOe9PVSnhZYtWay2Y4f3xqkV4eG0T3v8cfos+1qOsWAuROAKPs+qVRR/Y8c63+VKxWJhR7Pt2ylu//2XhWVPPOFa5NAVLl5knu0991BQbNlC54BRo+gjW6+ea7697rBxI8VFaTnHc+awK5atAJ03j1X4WrBjBwvVXMFdgRsVRe/k6OiSDf9dpWbNwv6zpaEonEA4mtZQlH79mM/tiEBu0QI4f754G9prrqEjiV7L7BUq8Lv+3nu06zMKikLrwVGjOK6y8qVbtGAkdMEC4JtvHGv6YTQiI5mm8cgjjOS+/HLZjUUEwduIwBV8lpwcLpvu3MncMFdzLXNyKCxjYrgUu3Ahbz7/+x8f8wZ5eRzDiBEUlEeOcNnzwQd5AzlxgiLSm1gswO+/A4MHl/ycvDyK4DZtrI/l53Oi4EpRmD22b3dP4CYkuP7eMTHML1aFrpY0beqcYO3cmeemK4SHMw908WLHnn/77eyYV9QabcwY5mPbtvf1JqrI/fBDY4lcAKhShdehbdt4XSqtfW9kJFeamjdnFNQRpwsjEh3N9tv33880kldfZXBAEIyACFzBJ0lLY9SgeXPejF31os3IoKdt587WJdjDh2m/5Upxmiuo3dC6dmXO78WLLKh5+GEKtOnTKby9kf9ryz//cGm8tHQPtXWu7djWraOY0mq8R44A1au79toLF9xrMKEK3NhYRjW1pGFD59q7JiYyd9NVod27N/2USxNeKnFx/E78/nvhx8PDOQn76ivXxqAFtiL3vff0G4c9goOZI9+8Oa9PZXkIt2zJifTcucy71yPHWQvi4lizcPfdnIS98UbxFQBB8DYicAWfY+1amqg/+KB7XrQnT/JCfNttXP797DMKmdtv966YnD2b4qVtW4rdTz5hv/jwcKvnrrfEtorFQouv0mzBAN7Mrruu8GOLFxd/zJ1xWCyuH4/sbPdcL0JDuY3ERDaM0JKQEE7MnImGXned68VmQUGcxDnanaxTJ0bjironpKQwZWXpUtfGoQUVKnAC9sknLAg1Gq1b8/r0zTdlR80jI+mKUrs2W+YePOiFAXqIhAROxkePZurS22/r474hCIAIXMGHUPNk//nH/fa4Bw8yAqR2KHr/fVqC9e2r2XAdYvNmWjANGcLfJ0+m2K5XjyJ+yBAgKcm7YwK4j5s0ocguiYMHOTbbCG9mJu3UtErtOHHCPZsvd8QxYH1tQgKj6VrTsiVTPBylTRtO8FytXm/fnkVB6ellP1dRmJLw7bfFGz3cdBOjwVqLfmdISmK+62efUUgZjcREXqeOHmVhXFnOCddcw5zWSZPYBtzbzTW0JCmJBXUjRtDu8MMPXbO5EwR3EIEr+AQXL9ImKC6OF053zPu3bWN+4RNPMGL79tssTuvUSavROkZaGvNs772XYmLjRnpN9uxJq7Py5Qs7E3gLi4Utd8sS+3PmFG/isGoVb9RasX+/910jimKxsBOaJwRH69acTDhKYCDPiU2bXHs/RaE4/fVXx56fmMjjWTTqGxTESN3nn+trFZWUZF3RefNN/cZREqpnbmoqUxYOHSr9+fHxvC5FR/P5jjYDMSoVKzI63a8f23x/9RXThgTBG4jAFQzP4cPMk+3Xj+LPHVatYjX5U0/xJv3GG8xNvPpqbcbqKNnZTD948EEug58+zajN2LG8qS1dSjsePdi+nb67pUVvc3IYXa1WrfDjq1druy/372cDAj1RrcI8QVwco6nO5F726AH89Zfr75mSwmj0sWOOPb9bN0Z909IKP165MiPKenQ5syUhgSL3q6+MKXIBFhQ+9hgt9+bOLX1SoCjc53fdxQ5u8+b5vt9sjRrAk08C117LaO5PP+lXqCiYBxG4gqFZu5ZLpI8+WnqjAUdYsoQC9/HHad7/+us0tm/aVJuxOsOXXzL9IDGRkcHPPqM9WEAAo2L33lty1zBP40h73bVrCzsnABRNERHatg8+epQpJK6iRS51UhKX4sPD6fmrNY0aOeeJGhvLSdGJE66/5/DhjnvaKgpw551sUFBUaPXowRQbvQuKVJH79df8XhuRuDgWlGVmsjiuLIFXoQLbAl+8yIm4J1JkvE1KCj9Tgwb8TL//7rnJoyCIwBUMy8yZtJ55+mn3rJ4AFuZs3szlsqwspjuMGkXXAm+zYAGFrSqsp0xhbmTFiozw9OihT94twChdWFjZ+3vZMkZjbFm7VvtIeHa2e4JZi8hX+fIUuBUrFo9iakHbtpx4OUPv3ixOdJXKlZkn7ah3aXIy84XnzCn8uKKwcv7bb/XvzpWQwHSP8ePZdMGIKApt93r35qpUWZZaAQHsoDhsGEXxihXeGacnURSeSy+9xOvgiy8ySl3Ukk4Q3EUErmA48vO53HjxIpfw3cm3Bbicu2sX3QguX6a4HTlSn9zO//4DVq5k5Bhg9OvwYVoybdtG27L27b0/LpUZM4Abbij9OWqBUnR04cc3bKA9klYYZVk2OZnR0qpVaVmmNep2ncnxrVePRX7uRL9uvpmeto7u5969OYkpWiwUG8t0mq+/dn0s8Uu5awAAZn1JREFUWpGQwMKz779nDqtRSUnhkv20abQBLOsYVK8OPP88I+Xvv6+9J7MeKAonyS++yM//3HPsJGmU773g+4jAFQyFKkAbNKAIdHeJ+c8/KQTuuce67VtuoSWPt8nKYmrCffcxMnP5MvDDD8y1y8mh2Lj9du+PS+XyZQq5soT/8uXFO8bl5DDtIzJSu/Go/rN6k5REUVeliucsj9RWvI6iKCxccrRxgz1iYljk9vffjr/nmDGcfBYVIU2b8ljpaR2mkpBAL+YffqB4MirR0UyXCghg7nBZraCDgnjt6tWLaRiuFhoajaAgrlo9/zxXSp57jpNlEbqCu4jAFQzD6dNctuvfnzdvd5k+nQVbd95pTUsYNowFVHrw7beMdKmtY7/5hlG0qCjmQ/bvr61AdJZlyxzb7xs2AK1aFX5s61btHR/S0pgWoDfly/M8qly5bON+V+nQgfvfGVJTKSjdEQK9ezM33dGCn0qVKGaLpioA/G4tWGCMyv/YWIrcn36icDIqikKv6SFDmJPqSC52gwbMY129mpMNX2z1a4+QEKZjPPkkJ3svv8wVLkFwFRG4giE4eJBLb/fcw+U7d5k9m4L59tt5A3jrLdoj6ZFzC/BmGxpqzbvduJFFS40bA3v2MFrpTtMKLVi5smyLr4sXWfxWNC927Vrtx3/mDFCunLbbdIXISEa3w8I8JyYqV6YwdCYPMTgYaNaM+95VAgMprhy1DQNoH7duXXEXhqAgFkd+9pkxOnLFxnLfTJrEqKCRqV2btQZz5wK//VZ2ukpYGB1XWrViLqs/tceNjGSk+oEHOPl6801pFiG4hghcQXdUX9onn9QmYrdgAf0mb7+dguG99xgZ0EI4u0JGBquFb72Vv2dlsbBsxAgu63//PTv/6Mnhw4xUltUxbf364tFbgOJM62jr2bPuFxdqRUAAzyX1X0/QpAkj4c7QqxdFkTs0bcrJoKPRaUWhuPrqq+JCLDkZ6N7dcYcGTxMby3P211/ZdMHIRESwPXd8PFeyHPGLbdGC180//gAmT1Z8ujlEUeLiuPp2221sgPPpp7wmCIKjiMAVdGXNGqYSPPVU8aIlV1i2jCJh7Fj+/sknbOCgR8MEla+/5kVaFY8//MCoWVgYhW7v3tp8dneYP5/em2VhL1J74QLzObVub3zunDWdQ28qVLCKeEf9Y53FlTSFyEimDezZ495733YbJ1qOkpzMAqFp04r/rUMHFkEZJUc0Kooid/JkRkmNjOqBO2IEV50cycuOjgbGjeNqx6+/1ve7jmEVKrDDW/fuvJ7/9BNXVAShLETgCroxfz5tb554Qhvv1H/+YV7a/ffz9/HjGbXVsrOWsyxfTjFQrx5/37mTy9zNmlEwHTig7/gARiQPHCi78C4vj8IlLq7w49u2AVddpf24zp41jsCtVo1R7tq1gX37PPMeFSrwMzubBnHDDZwkukP58nRzcCbdoXNn7ouDB4v/7Y47KCjPn3dvXFqhitxp0xjxNDo1ajDi/NdfbHVbVp61ogCdO1vQo8dBfPFFABYt8r8irbp1rR66r77KAmIjpMIIxkUErqALv//OG+PDDzN3z1127qSX4sMPM69w6lRGNnr0cH/brnLhAm9QqiVYbi59bkeN4u/ffUe7Mq0jn86ydSuXqcsax+7d9pttbN3KXGKtychgZNgIVK1Ki7c6dYC9ez33Pm3bcpLmDMnJPOfdLe4aMoRL3Y6KBkWhA8i33/LctiU0lI4Ln35qHKEVFUUBP306J9VGJzyc17PwcBagleWyAAAJCdl4+ukCnDjhP3Zitth66IaFsYBwxQrjnGOCsRCBK3idSZNYrHTHHdqIu8OHgZ9/ZrezoCBWlp85wxu2nkyYwKVfVcD/8QdbDas32sqVubysNytWOOa9qwrhohw/zuijJ3D3/NDqxletGgWuJ50UANfSFAA6cLgbxQ0L4zLwjBmOvyYujnnAv/xS/G81atAXWe9Wvrao370ZM2jRZXQUhSlMqsuCI64CgYGcVPfpQzsxZ/O6fYGAAKBLFwrctDTawTljsyeYAxG4gtewWIAff+RFe8QIbcTt6dPAF19Q3IaH02ZnxQrtxLOrbNrEm2mdOtZx7txJAZOby5u+3gIcYHrCyZOOFYjt2WP9PCoXL7I4Ru8odEkEBDjXQKEkIiPZplf9nJ6KGEVGcn+eOePc62rVooeoI4VJpZGaypST06cdf8011zC1Yteu4n/r1YvnjZGq/FWRO2sWczt9gTp12Ob3jz8ozh05/+rXZ5rDkiVcLfLH5fyQEHaGe/RRdgN84w1xXBCsiMAVvILFwohmVBTturTg4kXggw/YOCEujjP5X35hO97AQG3ewxVycph/OHy49bHvv2c0V1FoYdatmzZ5x+6ybZtj6QXZ2dynRdNJHMnd1ZPISMc9XssiNJQOGJ6O4nbqBCxa5Pzr+vVzP4qrKDxPJ0xw7nVjxnDyWrRdr6LQ+m/CBE4QjIKak/vXX74jciMjGXW2WIB33nHsvA4P5/WxXj1GOf1V/EVHM6gxapQ4LghWROAKHsdioZNAcjLturQgL4/2X7fdxuhjRgYrbB98kBd1PfntNxb+qOPYsoW5pNWrMydu3TqgY0d9x6iyfLlj6Qk7dwINGxZ/fO/e4lFdrdAiShoVpV0eYq1abJVau7Zn83CbNQM2b3b+8zduzAmHI7mapVG9OpCYSAHoKJGRjKT98EPxv0VH09f088+NlSsZHs7v4rx5nBT7AorCicwNN9BKzNGCx2uuYT7v99+zOMtIx0FLypfnhKVHD/oxT5wojgtmRgSu4FEsFnbsqlqVBvFabfOrr4CuXVlZm5/PSO7o0bwx68nx44ySXH01fy8oYERh2DD+PnkyUxOMsKRvsbA1ryN5wFu32ndK2Lev7Na+ro4tQIOrk5YCt25dLrXXq+e+LVdpBARQRDu7rK92xZo50/0x3HwzHQdychx/TfPmPN/t2YOlpDAn114HND0JD2e6wt9/c3LsK9SvTzeI337jPnVEsCYk0CYtL49L+UZxuPAEderws6ak0HHhr7+0SVUSfAsRuILHUNMSKlRgLp5WzJjBaHC7dvz9u+8YEfWE0HKWH36wNnQAuNTcpg0jXCdPUgDr6clry759jqcXHDwI1KxZ/PHMTM94+Kqdw9xFS4Gris5KlTznhavSrRtvys7SvDkLkdxNBwgL44R0yhTnXqcuEduLIg8cyMi0p2zWXEUVuQsXWi0GfYHoaIrcixfpmOBIpFKNAN98M9Mc/vnH8+PUC9Vx4cUXeS967jl2kBTMgwhcwWNMnMjc2Ouv126ba9eyS9mgQfx90SJGvFJTtXsPV9myhRHkypX5e04Ob5qquJ80iTcWo7B+PW8AZWGxMPpRNK9ZKxFqj9xctqJ1l9hY9wuvVKKjKZYVhfm4nlz6rFyZETZn84cVhdXzf/7p/hjatuV3zRkxHxrKDoL20hEUhfmg48drlxetFeHh/D4sXswx+gqKwtSQ7t2B114LwIkTjuVn1ahBwbd1K4+Vp1pQG4HAQLrX/O9//LyvvUZHFMH/EYEreIRJk1jhOnCgdtv87z8WaN19Ny/s+/bRMeG227R7D1fJz+dyoW0B3axZFLdBQSyAy8nhjcUo7Npl39e2KMeO2U9jOHyY+ZqeoKBAmxSFhARti02io4H0dO43Ryyb3KFTJ1bAO0vr1pxsFS34chZFYUR2/HjncjZr1+Zqyt9/F/+bmo/72WfGywMNCaHIXbqUhXG+ROPGwKOPFmDx4qpYuNCx/KeQEKZ1tWtHX9kDBzw8SJ2JiODq2pgxTL/59FP/TtMQROAKHuCPPxiB08otAWDE58svWQwSHEyRMX488+a0EELuMn8+LcAiI/l7ZiaXY9UCrqLiV28yMxm1cqTJxp49zD8tytGj1mi11mglcMuVc95yqzRSUqwFd5723WzXjtZHzgpBReHEau5c9xO9K1TgsV+xwrnXDRzIsduL/jZowBzJWbPcHp7mhISw8GzFCmu7b18hLg4YMmQPTpwAPvrI8ahss2Z0Z5g0ifnbRpt4aE1SEu8j3bsDH37Ia7MzueaC72AAaSD4EwsXMs90xAjttmmxAB9/zNl3bCx//+QTRh88kf/pLNnZNOfv1s362B9/0DFCUXiTz89noZ1RKKlozB5qYVVRjhzxDYGrZQS3YUN6LXuyZa9KUBDfx5WCtnbtgA0bFOTmui9yBw5kIZMzeb0BAYyCfvGFff/V/v25H43kj6sSEsJUqNWrgTvv1Hs0zhEQANx8swWpqcDLLzueXhIba21h/MYb2qX1GJm6dZmmUaUK83QXL/Z/cW82ROAKmrF2LbBhA28KWroE/PYbowz16/P3qVOBFi2MUVQGMBLVu7c1RzUjgzZSatcv1TnBSGzb5rjATUuz3wiipNQFLbCX8+sKISHaRmeqV2deqhr59rR5fo8erhWbKQrQrZsFGzcmuz2G4GDgxhvZLdAZEhMZJbPX5UxRgHvvZYGoEdvJqukKa9dySdvXaNaMUcovv2Qk3RFUF46bbwbeesscBVmKQgu1F1+kqH/+eemI5k+IwBU0YedOYO5c7VMG1q+n+0CPHvx9xw7m4qq/683Fi7RFuuYa62MzZrBSWVE49pwcY0VvAcfTCywWfg57E5bsbM8VmWkVwdUaRaHgy8nhUru97l1aUrEi03FcKcpq396Cf/+NdzsXF+BkLT2dPsDO0KEDI+j2RENUFPPnP/3UmJGzwECmK6xfz9UiXyMxEXj2Wa7WTJjAVSRHUAvQVq9mGpg/dkArSlAQr9mPPQasXEmBn5am96gEdzHgLUTwNQ4dYnRn3DhtKt9VTp7kUv9dd1FYpKcDP/3E3Dgj+MgCLFYYNMg6nsxMLrs2a8bfZ8zgcqyRyMxkrrAj+/D0aeasFcUbgkSr91AUbT0wVR/cpk2ZZ+1pOncGFixw/nUBAUDLlicwe7Y2X5ZRoxhxdXZfjhnD64M9kV6vHvOaZ8zQZIiaExjIKO7GjXSH8DWCgriiVrs2/WDPnXPsdaGhLOZt0IDRTU/b4hmF6Gier8OH0/Lxm2/cb5wi6IcIXMEtzpxh04Vx47TtIJaXx0rre+7hcqHFwkjP6NGshjUCFy6w8lhNRQB4o77hBoqqzEzeGOwVaOnJzp0KGjVy7Ln//Wc/+nzmDPNbPUVwMAsVtSApiUJdKxo1YkSyTh3v5JBefTWwZo1rgr9+/XPYskXRxJYrPh649lrnG0lERDAn/6uv7P/9+uvpSOFpVwpXUUXu5s3GcGxxhdRUTlDeece5JfhrruGq3DffcJJlxEi7J6hcGXjiCVrlvfUW09AcjYALxkEEruAyWVnsIHbvvSxS0JJffmHkSs39nD2bwsIoebeANTqrRkKzs7lk3bw5f589m7m5RmP3bsfswQAK3GrVij9+6pT9yK5WaClwK1bUNgKlRnADA5mi4W5ThbIIDOQ5tW6d869VFOCGGwo0i5B27Uqhd/Kkc69LSWEb1cWLi/9Nzcf94QfjRssCA9kUYft23xW5VasCzzzDgsE//nBcrCYm8nWnT7OhhNE8jD1J48a0UAsNZX6uGfKS/QkRuIJLFBRQ3A4dqn2h0aZNjI6qzRuOHOGFRcuGEe6SmckqettCrQULKAAUhTmaW7c61kjB2xw6pNgVrfY4fLjkCK4n2yKHhGgrcLXMpwsKouDJyuLx37ZNu22XhKvFZoC1u5kW4lFRgDvuAL7+2vlo3k03UeDaE8eRkYwwfvKJcaOEgYGMpO/YQS9fXyQ8HHj0UaavvPOO45OzgAAev9692SjB07nnRoIFm2wUsWUL8PrrrGEQjI8IXMElxo/n0qmjS92Ocv48XQfuuIO/5+VxaVNt7mAUZs2i4FbHVFBA70y12GzFChbYGGnMgLUrmSP+twCPR1xc8cdPnfKswNUyglupkvYFI40aUeg0a8YJmaeJjmaKwOHDzr9WUZgnPm2aNmOpVIlRbGebUAQGMn/+88/t5/HWqcMJw++/azNOTxAYyOKrPXuYp+mLMKrPVsyvvsoaCkdp0IBCb/Zs+uZqmdtudCIiGL0fOZK1IN9+a65oti8iAldwmlmzGHG57jptt2ux8OY3Zoy1Ov/XXzl79mS+p7NkZVHctGhhfWz1aqBNG6twXLIE6NhRn/GVxtmzYahc2bkQmT2RfuaMZ1MUAgO1q95OTgZOnNBmWypNm1LYVqrkmuh0hb59nc9/VbnqKo7T0SKjshgwgJ3K0tOde12FCpz4/fab/b/36UOnBiNbNQUGstJ+715g2DC9R+M6KSl0Dfj+e/upIyURGQk8/DC//6+8om1+uy9QsSIbY7RuzWju3LnmEvq+hAhcwSk2buSFfehQ7bf911+86KrtbHfv5nLmtddq/17uMHcue5vbCr958+j5CTB1oUoVz1loucOxY1GoU8ex5+bmluyK4ekiM0XRbqlay2iwiuqHqyieiRCX9J5nzrjuGztkCFdHtCAoiI1Xxo93/rWdOzMneufO4n9T83F//lk7Me4JVJF74IBnroXeIi4OePppnstffun490RRgC5duNL20UfcF2ajSRPm5wLMz926Vd/xCMURgSs4TFoalznvuUf7pffjx1nE0a8ff8/JYdGJ0UzW8/NZUd22rfWxf/+loFVdJGbPZqtUI3L8eARq1nRMOZ48yeinPXJymCfrKwQEaBtlURSmDVy4ALRqxXPCG3TvzsmUK9SvT0/aU6e0GUu9evSydbbwRlGYqjBxon2xHh7Ov3/8sbEr1wMDgeXLWYh54416j8Z1AgO59N6smfMR2UqV6Jm7ezddbxxtD+wvBAQw2PHkk7x/vf0272WCMRCBKzhEVhZtuh58UHthU1DA6IHqdwtwCbNvX95AjcTq1RS3tk0I5s61CtrMTIoeT7WwdZezZ8McLgo8fpxLyv5AhQraR1nV/NumTVl84g1at2bjAVeF3403Mu1HK0aMAKZMgdPNJNR8xs8/tx+pr1oV6NSJk1wjExjINt1HjwKDB+s9Gve4+mpOLD780Lm88qAgFghecw3bAzuT0+svREbSwnLYMDbV+P574PJlvUcliMAVysRiYXXz0KGeKSyaPp2isXx5/n7wIMVIu3bav5e7zJ9PpwSVixcLC9rFi7kEa1QsFsXhFrilWYF5o9Jdy1UCNaVAS1q2pNgMCaHQ8cYNLSCAQsTR9qtFqVWL0Xet8obDwoCBA51v4wswAly7NieI9khN5ZK50Ze/AwOBpUs5IfR1kVuxIrufLV3KIjJnvufNmtEP/ccfmW5mVDcMT1K5MvDUU8x5f/VV5qmbcT8YBRG4QplMncrq2caNtd/24cO0nFHzV/PzmdenuigYiT17GFmybWixcGFhQbt2LaNsRiQjAwgPd7xy69w5Vu4XxVsXbItFu/eqUYMTJy2Jj+fkpqCAN3dveWSqaQqu7pvhw10TpCXRsiXdNvbudf61AwYAGzaUPPm4/XZ+VqPbMgUGsrD0xAkKfl8mJAS4/34gIQF44w3n7OXUnN6MDOC998zrMtCiBfDCC5z0Pv+8/XxzwfOIwBVKZf16FoT06aP9ti0WWq3ceac1WjdjBiM39oSV3qjWYCoWC30x27Th7//9xwiIlu2KteTQISApyfGuBGfP8iZXlEuXuCTnacLDnV/6LomqVT3jdlC/PvMPW7VyrRGDK4SFMfrpalFL+fI8rlredEeP5rKss6kTalHZ11/bz98MCgLuu4/5nVqdC54iMJArOKdPU7j7MorCidSQIRS5zkxeFIWR7D596JnrjW5/RiQoiPeLxx5jGst775nPcUJvROAKJXL6NDvejB3rGT/XOXMoDtVq/JMnaZrfpYv27+UuFy5wudS26GrHDro+qNZgCxYYc+wqhw8rSEpyfB29JA/cixe9kxsdFeW6Y0BRwsI8I5Bat2bUXm0H7C27IHcswwCa9v/6q3YR8thYrmS44rUbF0ef3m+/tf/3xESO94svjL/cGxgILFrEyaFaMOvL1KnDAqrJk51vNNKgAZfrf//duc5p/kZ0NIM4gwfzHP71V6YJCZ5HBK5gl7w85t3efbdnquXPnGHVqa3bwIQJXJI0WnMEgOK1aG7twoVWQZufT/9ORy249CAtDUhIcFzlFRTAbr5uVpZ3LNC0FLgAz2Otbyx16lijWw0aeK/DU1wcf1xNu4iJYbOK1au1G1OnTtwX//3n/GubN2fh2fLl9v/epAmdSubMcWuIXiEwkNeGjAxjdV90lehoitxz53hPcOY7FBXFCGZwMCPBzvom+xPVqjF9o2pV4MUXufpnVtHvLUTgCnb56ScKOq3b8KqMH19YzK5fz0p3I7oPWCzME7Rtu5uTwyiN6jKwaRPzMI0ozlVOnFAQF+e4j09JF9/Ll70jcKOjtWkvq1K1qmviqzQUhRHGU6dYRe7NgqgBAxgZc5UbbmDajVYNNRSFkapvvnHN5WHECBZx2mvlCzDKu2ULc+GNTmAgP8vFi55J7/I2isIi43btaCXmjNWconAf3HQT8Oab3mltbVQUhdeJ557jZFDa/noWEbhCMdavZ55laqpntr96NYVztWr8PTeXS5s33eSZ93OXbdsY7bK1BlPtwlSWLTNm5zJb8vOBwEDHQwYliXVvRXATEhjp14ratV0rhCoL1QdXdWrwVlSmUiV+d1z1tQ0NZdR1/nztxlSuHBuzTJ/u/GuDgrhi9Nln9kW3orD46fvvfSMSqIrc7Gz/ELkAJ/l3300rsc2bnXttrVp0aPj7b/O1+S1KaCiLPUePZjBpwgSxFfMEInCFQqh5t6NHe2b7ly8zd3DIEOtjf/zBVAUjdv4CeJPq1q3wY8uWseUoQJFx/rxnLNS0wmJxLrqcm2vNLS5KVlZhJwlPUa4co+RaUbeuZwpeWrRghF9RCqcseIMbbnBNTKp07gysWKFtfnLXrixgcyUyVaECx/TLL/b/rvqNfvSRbwikwEAKupwc4zZ/cRbVSmzhQgYmnJnQhYUBDz3EWoZXXtH2++2LlC/Ptr/Nm3N/LFokaQtaIgJXuEJBAZs5jB3ruS5Vv/3GZHt1+6dOMW+xfXvPvJ+7ZGQwAmMrXs+e5QxcdRJQ0xOMjLOtdUsrJPNWioLWEdxy5bTdnkpYGCcDmZneT1OoX58uJ67mKgcGshjKnVSHoigKm7Z8/bVrIjQ1lRPGkppn1KrFpfKSRLARmT+f+6JnT71Hog2hoRSqwcHAO+84H33s3JkTlfff54qh2WnWjHm558/z33379B6RfyACV7jC1KmMSnoqD/bYMZqhN29ufezHH9nRyKi5q8uWccm16GO26RsrVhhXoKscPw4kJzseGrh4sWQrsPz8kqO7WqJ1BFdReGP2RDvRNm1YNKlGcL0ZhenVi+2hXaVVK+a1njun3ZgSE5nC46rTw5gxrDa/cMH+37t0oRjwVotkLVBdCFTPb19HUVhE16cPo4/ORuwrV2YkeO1a1mRolQvuqwQFMa/+wQeBP/9kqo6WNQhmRASuAIAOAAcOeLYL1/ffA7feav39338Z/VJzcY3I2rVWn1uVTZusIj0vjzfakjp+GYUzZ5xLocjMLDmCy1xebcZVGp5wPahZk+e61qgCV1F4PmtdzFYarVrRE9fVNANFYT7gTz9pO64ePTguV1okh4VR5H78ccmThTFj6Jt94oR74/Qmc+fyu9O1q+vtlo1Gw4bAo48yYu+sK0dICFcMGzRgm19fOpaeIj4eeOAB3ovffpuTV385V7yNCFwBOTn0oLzrLs9FUtevp81PxYr83WLhEuPNN3vm/bTg5ElaMdmma5w5w+p+tZnD5s3GT08AOO6EBMfDikYQuJ7AU3m4UVGc7GRlMZpfkt2VJ1AULn2X1PLWEWrX5hK6luJfdVX46ivXIto1anDiMHmy/b+rHbecta7SmzlzuJLQvbv/CJeEBOCZZ3g9/OEH51NTrrmGDT8+/5wrYgJF/wsvMLL7wgvA9u16j8j3EIErYOJEBf3706zdE+TlsRjBtrBs7VqKDSN2LFNZvLi4M8KqVYXTEdasAa6+2qvDcglnc3Czs3kTtoc3Ba6iaLvcX7eu54rA1G5mKSnMK/dmmsI11/A75Y7QGzECmDhR23EnJ7MZxp9/uvb6bt249F2StVRyMlvjfv65bxXn/PknCzW7dfMfkRsUxCBJlSrsYObs8npyMkXy3r08nr40afEUAQGcCD3xBIX/e+95po7AXxGBa3L2749Bbq6C1q099x4zZ/JLqhYm5eez8tvI7SwtFi6vNmlS+PENG6zpCRYLc1vVqLSR8VWBGxvLFBCtiInxnMVU27acACkKC6G8WSiiKBRL8+a5vo2EBLYAXrNGu3EBzBHesMG15WdF4RL2L7+UnI/bvDnzOV0V0Xoxaxbz3P0pXQHg0vqwYWzs4Ox3ICiINRlXX82UBU+01/ZFoqK4GjJwIAvBp0yh041QOiJwTUxmJrByZWXcdpvn/HYyM4GNGwsXZc2fz8Ito9qCAcxHrl69sPft+fPstqSmLBw6xOf4Ajk5zjlj5OZa0zCKUlBQeL94kooVOYnQkpiYksWSO8TF0T86J4eR/yVLtH+P0rj2Wgpsd4p1BgzghFTLgh9FYb6sq6kK4eFl5+MOGkRrsh073Burt5k5k+djly6+YXvmKLVqsfvZpEnsAuksLVoADz8MfPcdV9IEUqMGC/PKlwdeeikAhw5F6z0kQyMC18SEhAC9e+/3qNCcMoW2YGpub3Y2XQiK+soajXLlikeYizZ3WLeOy9L+SHZ2yYK4fXteaL1BxYquFSmVRsOGnhNCqn90zZpso+tN0RIYyMYNrggKldBQfjdnzdJsWAB4HG0LTJ2lRg2mOpSUj6sowH33sVDO17xVp09nvuWdd/qXyI2OBp56it/fzz93ftKUkMDWtrVre2Z8voqicDL79NMFiI6WPI7SEIFrYkJCgIQED3gm/T+nTzN/znaZf/ZsLlkavUgpNrb4kv7GjYwsqGzfzg5n/khubskCNzm55AI0rfGEwG3UyHMFG1WqcL8pimffpySuuw5YutS9Je+OHXmua53KUb26e0Ws3bvzelLSPg0PB+65h00gfM1y6osv6MQyerR/idyAAOZ2t2hBKzFn80cDAthiWyhOWJhn79/+gAhcwWMUdUnIyqKbgtE9Y+2Rm8ufiAj+npFhNfg3Onl5zo/T2ZQGT1GhgvYCt0oV4MgRbbdpj44dKTa9SVAQvazdSY9QFGDoUOM1UlDzcX/+ueQUk8qVOYH++mvvjk0LXn+dEzp/E7kAc2rHjGFjh5IKBgVBa0TgCh7h8GEKwlq1rI+p0VujNnUoje3bgcaNrb9v2eIb9mAAxXi0k6laeXnGiLJHRjKvVUvUhg9atqe1R8WKtJrzdjSxSxemKbgjklJSmD9vtCKf8HDgjjtoDVZSPu7VV/N8//tv745NC157DahUCbj9dv8TuZUr0yVh7lymZfiS64Xgm4jAFTzCzz+zklYlK4uV1Ndco9+Y3GHdOqBlS+vvW7YUd1gwKpmZzgtci8U3JyKO0qABrbw8TYsWPO+9SUgIRd7Kle4dwFtuYadBo1GzJr+LU6aU/Jxhw2ib5gnPY0/z6qtclh81yv9EblgYm0IUFDCa6+lJpmBuROAKmrNnDyvKK1SwPjZrFtC7t++KpkOHCndcO3688OczMunpzgtcwDjHKiqKIl1LvJUfm5rqfTcFgF3E5s1T3BJIyck8543YDrdHD0aXSzqGAQFsAvHdd55xzPA0L7/MnOWRI/1P5CoKC3i7dmVertYuKYKgIgJX0JypU2nbo5KVxQ437drpNyZ3UMWsKvjOnmWDCqMIwLJwJYJrJDyRh+stn9r4eKYoeLunfGgo0Lq1BTt3OmF+bIfBg4E//jCe56aiAHffXXo+blQU8z4//NA3fWZfeonn6a23+p/IBbgC9sAD9HXdtEnv0Qj+iAhcQVP27WP0NjHR+tjcuWwl6iuCsCibNlmbOwAskrjqKt2G4zQXL1qL43yRypW1LwoLCuL56I1uSXoUmwFAjx4WbNqU5Ja4Cwtj3vz06dqNSyvUfNxPPy05n7NGDVqnff+9N0emHS+8wO57t9zinyI3OZm+rosXMzAiebmClojAFTRF9b1VycvjEqevRm8BCtqiBWa+kn8L0NPWWa9jI91oqlcH/vtP++2qLXU9TevWwD//eP59ihISAtSvfxZLlrg3s2zfnr7BRmwRWrMm85ynTi35OWqTGT0mGVrw/PNA/frA8OH+KXJDQoAHH2Rjmffek7xcQTtE4AqacfAglwWTkqyPLVtG2yJvdb7SGouFy8sxMdbHTp8u/BmNTlZWyW13fYHKlel/qjXNmnlnaTQ4mJXxhw55/r2K0rz5KSxapLjl5KAoXCb/4QftxqUlPXpwAlRaTvVttzFKePCgt0alLc89x7xxfxW5igLccAObjEherqAVPio7BCMyeXLh3FuLBVi4kLZFvsqxYxRYKhcusAmEL5Gd7bzADQw0zo00ONgzOaC1awP792u/XXuo1l3eJjDQgo4dLW5bZtWoQcs2I7bCtc3HPX/e/nMCAxkl/Ppr7QsWvcUzz3Aladgw43w3tUbycgUtEYEraMJ//1FE2ToLbNjAqIMRGga4StH0hN27uVzoS7iSouApUekqnvCtVRSKNm8UgNWuDRw4oE+xU6dOFixb5v7xHDaMzR+MKK7Cw9nq9uOPSx5fbCxdCT7+2FgpOM7w9NNceRg61JjHQQts83KnTfPdYyXoj88L3Pnz52PYsGGoXbs2FEXBfffdp/eQTMm0aYWjtwAbO/Tpo894tGLbtsLteH1V4DobwTWawK1a1TNNB5o0YU61p1EUfTxxARbUde0K/PWXe9uJimI+rrvb8RTVqzMd6qefSn5O3bpAq1aM9voqTz7Jc+mmm/xX5Kp5uUFB4pcruI7PC9w5c+Zg06ZN6NixI+Li4vQejik5e5YiynYpf+9eoHx537ansljoIWubknDwIG+kvoQrObhBQcYSuJ4qNGve3HtLoZ06MSqlBx07AqtXu+8a0b07sHKl923PHOW66zi20rx7u3Xj93rNGu+NS2uefBJo0wa48Ub/FblqXm7Xrmx+ceKE3iMSfA2fF7jvvPMOduzYgfHjxyPW15Ij/YRZs4pHamfN4sXJlzl1iiJdpaCAojcoSL8xuUJeHiOyzmC0CG6NGlzi15rkZLbT9Qbx8UxR0KPxQEAArfpmz3Z/O8OGlR4l1Zs77gBmzCj9uI4ZA8yZY7xWxM7w2GPsWDdkiPfbQXuTJk3YtOOTTyQvV3AOnxe4Ab5anu8nZGUxWmu7jJ+eDly+7DudvkqiaDrCkSNAlSr6jcdVCgqcd7EwmsCtVIkFf57AE40kSkKvYjOA6QXr17u/3JuSwm14YsKhBSEhwH33URCVdA4HBbGY6Ysv6BPtqzz2GNuf33STf4tcycsVXEHUoeAWCxZwCcm2icP8+VwG9HX27AHq1bP+7ov5twBvBs422TCawA0I4OfwxI2taVPvRYZatmQerh43aEXhSsvMme5vS7UNM6rQKF8e6NsX+Pbbkp+TkED7sA8/9O1l/kcf5eRl6NBAvxa5kpcrOIuPLbZqQ3Z2NrKzs6/8np6eDgDIzc1FrpHu6h5G/ayufuaCAmDZsgA8/3zBFTFUUACsWxeAvn0LDCWQXOHQoQCUL2/9HLt3B6B/f9/7XLm5AcjPL0BBgePHOyhIwdmzQG6ucRRMUlIAjhwp0HxloGFD4NNPA9C1q3dUToMGCjZssHi8WYi973eLFsCsWfysUVGubzs6GmjcWMG8eUDnzsY5R2xp3hzYulXBggVAaqr9MdasCbRsqWDCBODWW435ORzh/vuBvDwL3n67Nbp187ELlJP06sXC0JdeCsA99xQUSiMzE+7ev30VZz6v4QTuhQsXkObAemHNmjUR6qJ7/euvv44XX3yx2OPz5s1DhC/3NHWR+fPnu/S63bvjoShhmDfPerz+/TcOBQXhmDvXS2u+HiI/X8HevXUxZ86eK4+tXFkPVars8bmWwzt31sXcuXsRFMQbuCPH+9ChaKSlRSE/3zjH8fTpJPz0Uz5SUs5qvu3t2+th+vR/ERzseZFjsQTjk0+qoX//fR5/L6D48U5KisHzz8eiSxf3ElAVBfj22wY4d+5fhIfr4H/mAPHxwLff1sOBA/8hKankkN/GjdVw4kQmGjXS/tzyFvXrA40b10S3bsC4cWt92p7REerXD8Ejj9RCu3bHUKtWut7D0Q1X79++yqVLlxx+ruEE7u+//45Ro0aV+byNGzeiWbNmLr3HU089hUceeeTK7+np6ahatSq6d++OGNuWVX5Obm4u5s+fj27duiHY2SokABs2BOCJJwoQGdn8ymNvvhmAxx8vQExM81JeaXz27wfOn1fQu3cdAFyK3bAhAH361NF5ZM6zZUsA+vSpi4ICx4/3/v3AqlUKevc2TlSrQQNgxQrPjCkvT0GVKnXQooXmm7bLf/8FoH37+h5tGlLa9/v11wPQps1VSEx07z3q1AGWLq2Du+4y7hp/hw7Ae+/Vw003FZToB92jB/DGGwFo0KAAtWp5d3xawcjWfKSk1McPP1yPSZPy/V7kDh4MfPFFHWRnW9C/v8Xngg/u4O7921dRV9wdwXACd+TIkRg5cqRH3yM0NNRu9Dc4ONhUJ4qKK5/78GEm/sfFBV557PhxemWWKxdYyit9gwMHuHSt7paTJ1mMFBzse59NUYDQUGt+niPHOzaWllJG+jrUrs1ueZ4YU7t2wPTprEr3Bj16AEuXBmLgQM+/l73jPWIEMHVqINy1DW/SRG2BG4i6dd3blqdITubn/frrQDz8sP189OBg4JFHgDffDMTjj/tet0JbHnggAKGhARg2LACTJ/t2o52yUI/bzJksKrznHueb2vg6ZtMtznxWKTITXGLuXOZC2fLXX8Uf81X27EGhG/aBA8zX80VcKQSKjAScWAnyCkFBrBT3RGGT6tLgraIptemDXkVatWpxAqOFTdZttwE//mjsQq3GjemlPGdOyc+JiaF92Icf+r4jwX33cRI1aJD73sdGR/xyhZLweYF76NAhTJkyBVOmTMGlS5ewb9++K78LniEnh5ZZtkt5BQW0C7N1HfBlzp1jlbXKgQP0YvVFAgOdbxEbHm48gQuwOt5TvrU1agCHDnlm20UJCKDo2rrVO+9nj5tvZutdd4mNpVXV3Lnub8uTDBzI/b1nT8nPqVED6NwZGD/ea8PyGPfcA/Tuzc9tBscB8csViuLzAnfRokUYMmQIhgwZglOnTmHu3LlXfhc8w7JlzGuzZeNG9kj3hxwo1VbL9rMcOuS7AjcoyHmBq0ZLjUaDBrRr8wRt2pTeAUtrunUD5s3z3vsVpWJFilMt9mf37uyUdv68+9vyFIrCyOb335feia1DB07w/v7be2PzFHffDVx/PSO5ZhC54pcr2OLzAnfkyJGwWCx2fwTPsGwZcO21hR9bvJhtMv2B48eLN6nIyvLd3C6jilVXqF/fcwI3JQXYscMz27ZHuXJc+TirY+H+TTcBv/7qvhAICKA37vffazMuTxEZCdx+O/Dxx6V/5hEjONnx1LnmTe66C+jXzzwit6hfro0jqGAyfF7gCt7l4EFGfmzF3sWLvHDaLun7MgcPMl9PJS+Py/y+SmCg/wjcihU919EsKAiIiPBuK92ePZm7rhdxcSzeW7/e/W3VqcPrwrZt7m/Lk9SuzYYbkyeX/BxFYaezH37QdwKiFXfeCQwYwB8ziFzbvNxXXmHbdcF8iMAVnGLOHN6UbbEX0fVliqYjnDwJnzYTdyVFQcVoCyGKws/jKW/zVq20EXuOctVVjBrrOQEZMIAOEloc6xEjgEmTjD+h6t6dKzWbN5f8nMhI5rF++KGxuvq5yh130FbLLCIXYF7ufffxGBp94iVojwhcwWFyclihahvdBJh717atPmPyBIcOAdWqWX8/doxV9r6KqykKYWHGXN6rXZs+vZ6gVSvv5uEqCi3KVq703nsWJSKC+ceLF7u/rchIoEsXbdoBexJF4dL95MnA6dMlP69yZbb8/eIL4032XGH0aODGG80lcsuXB555hsGZ0lw0BP9DBK7gMP/8wxuhLUePAklJ/uW1mJXFIhOVY8d4o/NVXE1RiIvz7nK9o9SvD+za5ZltR0czWufNm3/nzsCiRd57P3v07MmiKi0ilZ060a2gNOFoBEJDgXvvZT5uaZ+7dWuKpD//9N7YPMmoUcDQoUD//sZ0SvEEYWHAuHG8nn32mfFXGARtEIErOMzy5cVTERYt4g3aX8jNLd5IwNcjuMHBrgmX2FhjVsXXq1e61ZO7tGzp3TSFsDCeX/u807nXLsHBzFecPdv9bSkKRZQvWG1VrAj06QN8803pzxsyhJMqPW3dtOS222gTN2CAeUSuolDYt2xJv1wjXtsEbRGBKzjEhQu8QERHWx+zWFhl3KCBfuPSmhMnijsonDoFt1ua6kl4uGsRydhYY0ZwIyNZ2OipJeO2bZl240369NE/QtipE7BuHZCZ6f62qlaleFyzxv1teZo2bXhdW7Cg5OeoFmO//uo5H2Zvc9ttwPDhFLlaHHNf4eqrOQF7+219J5WC5xGBKziEvUKyQ4eYj+sP3rcqaWm8MdtisdAGyVcJDwcuX3b+dUZNUQB4jI4f98y24+MpoL3ZAapSJYqM0vxZPY2iMFL522/abO+mm4AZM1w797zNsGGc1JQmeMLC2Ejg44+NmZvuCrfeCtxyC5tBmEnkVqsGPPkkG50sXar3aARP4cO3bcGbrF3LXDRbli8H2rfXZzye4tixwgI3L694yoKv4WpXMqOmKABAo0aerYpu3pzNS7xJ9+76WoYBrDo/eVKbyUNICAuafvrJ/W15moAA2oKNH1/6JKN8eU4CPv3UP4rOADpf3Hab+SK50dHAU0+xA+f33xu71bTgGiJwhTI5epQdYmyFnj+mJwCM4Nrm254+TUN+XyYszLUoWrlywJkz2o9HCxo1ArZv99z227UDVq3y3Pbt0bIlRbWrlm5accstwMSJ2myraVOKpn//1WZ7niQ62toEojSx06QJPX+nTfPe2DzN8OH87GYTuYGB/NzVqgFvvMGVG8F/EIErlIm9LmX+mJ4AFM+3PX3at/NvAddTFBISjGtyHx/v2ehyYiK3781qa0VhPug//3jvPe1RuTIQEwPs3KnN9kaNYsMEvYW7I9SuzWPwyy+lP+/66znx92Yxoqe5+WZ65fbvby6RC/D+NmQI8NprwJEjeo9G0AoRuEKpWCy80aWkFH58xQr/S08AGLmxzbf1B4EbEeFakZnRW/yWK+dZK6qmTUtvBOAJunYF5s/37nvaY+hQNmzQYhk+Nhbo2NH43rgqXbsy97w0P2RFAcaOZY6xPwmim25i17P+/YH0dL1H413q1gUefZSOGt70whY8hwhcoVQOHABq1SocqbVYaJnjb+kJ9lry+oPAdTWCa3QaN2YXME9xzTXeT1OIjGQOuN5L+jExFPjLlmmzvS5dgC1bfMeBYMwYCvK0tJKfExICPPgg8Pnn/hXxvPFGivcBA8wnchMSgKefZsHh5Mn+k2dtVkTgCqWyahXzEW05fJg5S/6WnmCvJa/ZBW5wsHfdBJyhUSPP+pKWL8+UFW8vrd9wgzGinX37suhNi+OvKOyi9e23viEagoNZdPbpp6U7JiQkACNHAh984BspGI4yeDBw992M5BrVScVTBAfTEi48HHjvPfN0fPNHROAKpWIvUrtmDb0E/Y3Tp9mVzZYzZ3gT82Wioly3nzJyoVlysucjgo0be9/cv3x5iiW9O4GFhAC9enEZXgsqVwZq1tS3LbEzJCYymvn556WL8rp1gdRUYMIE743NGwwezE5vAwYY103FUygKJ3jdurEphK+sPAiFEYErlMiRI3QUKBqp3bkTaNhQnzF5EnvR2vx85qL6MhERrlcHJyXpL7RKIzGRUVZPkZqqj0/m9ddrJyzdoX172rFpFcUbNIjd0nylWr1JEzatKKsJR2oqW/8aIX9aSwYNovfvwIHmE7kAj/999wEffeRZW0LBM4jAFUpk1arihWQZGVy68XXRZ48zZ3zfEswe7qSSJCYaW+A2a+bZQrDy5ekk4e00jQYNgP/+0z93Wm1v+vPP2mwvOJjV+j/+qM32vMHAgcz1LstVYsQIYMMG7dwnjMKAARS5ZozkArwGPPMMMGcOJ2e+kGIjEBG4Qols28Y8R1s2bgRatNBnPJ6mqOetvaIzs5GUZOzluSZNWLzkSVq3Zgtbb9OtGzBvnvfftygNGrBRyOHD2myvcWN+t3bt0mZ7nkZt0ztxInDuXOnPe+ABNrbw5KqCHgwYADz8sHlFblgYMG4cAzyffWZsdxnBighcwS4nT1LsFRV469bRkN4fOXeucL5tRgaryc1MxYqlV5LrTWwsK709GVXp0IFd+7xNu3b0xDVC8dKIEdo1fwDYOeunn3xHKERE0Fngo49KH3N4OKOdH33kf8VJN9xAG63+/Y3rj+1JFIU2aq1aAa+8Yk6h72uIwBXsYs89oaCAYiIuTpcheZy8vMKpF+npFFD+QGioa8vsMTHGtwqqVo3L+Z4iNpbnhrfzRgMCWMy5erV339ce5csDFSpolw4SHU2/2d9/12Z73qBqVdqdff996c8rX57FaR9/7H/L2X37MpI5cKBxi089zdVXs/vZ22/rb+cnlI4IXMEumzczv9GW3buBevV0GY4upKf7TwTXVaHqC1Zw3mjI0K6dPkKzWzfjFC7deCO9QbWKKKemAnv3siOYr9ChA78TZfkDX3UVUzEmTfLOuLxJ377A44+zAM3I+fmepFo14MkngV9/ZadPwZiIwBWKcfEiLYKCgws/vm4d8xH9EXv5tiJwSUhI6V6getOoEbB9u2ffo21b7zd9ALjkXb26MfJVIyMp8LTKC1YUtob95hvfinTedhuwaFHZqwa9etF9wlds0Zyhd2/giScoco2co+9JoqOBp54C9u+nRVxBgd4jEooiAlcohr3oLcBoS506Xh+OVzh/vrjfrQhcUrEicPy4tuPRkrAwIDfXs/mc4eH80SP30CiWYQDQvTsFm1adu5KSmNM4d6422/MGgYEsJvvyy7LTVu64A/j7b4ogf6NXL0Yxhwwxr8gNDGS6Qo0awOuv+1dHO39ABK5QjHXreNOx5cIFiiRfWLJ2BfXz2eJPAjc+Hjh71rWDV6GCsQvNAFb6ezrKee21+hSbJSYyim6EpfyAABba/PKLdtvs3ZvNY3xpuTsuDrjlFuCTT0qPPgcF0X3g22/9syNYr17A//7HphBmFbkAcN11TOF5/XX6xwvGQASuUAiLxX7Dg61bacnkr9hzTPAngetORzKjOykAnJB52sqrRQv6nOrBwIHAtGn6vHdRGjemWNPKNsxXUxUaNGD+96+/lv686GjgrruA99/nSoO/0aMH8OyzInLr1qXLxFdfAevX6z0aARCBKxThwAGgdu3ij2/ezIu5v5KezhtR0cf8ReAmJroewTV6igLAFrCeXgYOCuKS+rFjnn0fe1SrxuVwo1Su33or3QS0EqRVqgC1apVdvGU0evbkMVm7tvTnVavGSPUXX/iWiHeUbt0ocgcNMv61wpMkJLApxLJlwB9/+Oex9iVE4AqFKMnn9uRJIDnZ++PxFhkZxQXupUvMu/QH4uNLN6kvDU+3w9UCRWGU2tPL3B076lc13b8/MH26Pu9dlORkTirKEnbOMHAgHSOMbktXlDvvZCvfslJI2rThZHHmTO+My9t06wa8+CJzcs0sckNCgAcfpNvIxx/7Z9TeVxCBKxRi924uvdly8iQjV/5MSU0d/CXnOCjI9SIsRfGNSETLlp5PIWjUiG1b9dgfDRowvy8jw/vvbY/Bgym4tbqBBwUxMjx+vDbb8xbBwSw6++wzTopLY9AgFutu3OidsXmbzp2tIlePlQ6joCg81u3aAa++6npwQXAPEbjCFXJyWERi2+wAYCtUf86/BeynKAhWIiK83+jAWZo397xwUBTv2JKVRJ8+wOzZ+rx3UUJDmX+ppcND3bqcaPpaDmNCAru9ldXcQW37O22aMYoGPUHnzsDLL7MY0cwiF6Ct5ujRbAqxb5/eozEfInCFK+zYATRsWPzxbdtYWOLP2EtR8DcCA4H8fNdC0tWqaVdU5CkiI9ke1dPtXzt3BhYs8Ox7lESLFvw+GsWX+NprWYCqZYRq+HAKwMuXtdumN0hJYYOHyZNLf15ICPDQQ4z4Gn3S6CqdOjFyKSKXHfCeegr4+Wd9XFjMjAhc4QolFZKdO1fcI9bfuHSJUUp/Jj4euHgxuOwn2qFqVeMLXIAiY+dOz75H+fJ0EcjK8uz72ENRjNXdTFFol/Xjj9ptMzSUwuiHH7Tbprfo1YspXWXlJpcrx4YRH37ovw0CUlMpcm+8Uayz1KYQO3YAP/3kGylf/oAIXOEKBw6wcMSWs2cpjMyAv+TblkRCggUZGSEuvbZ69bI7NxkBb9iFAUD79sCKFZ5/n5Lee9Uqz0eqHaV2baY2/fuvdtts0oSfz9OTFa1RFBadzZxZduSyXj3maH73nVeGpgupqcAbbwBDh/rGBNmTBAXx3ChXjikLekyQzYYIXAEAO7BERhYXeTt2MOfQ3yk6o7ZY/E/wJiUB58+7JnB9odkD4B27MIAiU68WrIGBfH8jWWrdcov2kamRI4GJE1kb4EuEhLDo7NNPy06zuO46Hs+///bO2PSgQwfgzTeBm2/2jUmyp+nZk5Zxr7xibt9gbyACVwBQspAtKS/X38nJ4Y3Knyhf3oILF0Jdei3zdzUekAdQFO80pggLYzGUXjeorl2ZB2yUpc7YWBb5LVyo3TYjI4Ebbii7kYIRSUwEhg0ru9MZQOeI9ev1K1z0Bu3bi8i1pXFj4P77gY8+8u/jrjcicAUA/JLZE7LHjgGVKnl/PN6maLQ2K4sixp+oUAE4d871DxUWVrYNkhG4+mpg9WrPv0+XLtoKOmcICWG+vDfSMRylTx9g0SJtC6euvho4cYLpU75Go0a8pk6ZUvrzFIW+qZMm+bd/bPv2wDvvUOQeOqT3aPSnfHng6aeBWbOAefP0Ho1/IgJXAMBZdfXqhR/LymLBh78t1TvC5cv+0+RBJT4eyMx0rcgM8A0nBYD5m1u3ev59GjWio4FeUdTevdlgwChR3KAgFof98ou2273jDnrjGiXn2Bl69+ZqQlm2Z2FhTGv4+GPfmES6Srt2wHvvMbotIpf3mMcf5yTuq698Y5XMlxCBKyA7m2blRYXs3r30pfR38vK4BG9Lbi73iT/h7kTFVwrNgoN54/B0RyxF4VKjN8S0PSIjWeC1ZYs+72+Pq67ifj94ULttxsUxWj5tmnbb9BaKAowdy4YYZaXNJCUxl/mDD/zXWQFgVF4Vub4Ymdca1YkkJQV4/XXjNHLxB0TgCtizhxW9Rfn3X/uP+xvZ2cXTEfLzi4tef0BRXI8S1KrlO2blrVpp20a2JLp21bdAqF8/47TvVbn1Vlp8aRlZ7tiRYsgXo362RWdlVc43aABcc43vdXNzlquvppAfMcJ3rime5tpr6Tbx+uu+sVLmC4jAFbBjh2K3wOzffxkh8neys5mKYYu/CtzY2GycPu3aa8uX51KaL+Atu7DERJ4/ekVdYmKYOrJtmz7vb4/ERKZvaOnyoCjAmDHAt9/65jJuYiLFiyNFZ5068Xrk73mZrVvTB/jWW0XkqtSpA4wbB3zzjbHy630VEbgC9u1TUKdO8ccvXeIyqL9jr6DMXwVuXFy2y4UsisIfo+R8lkZ0NIWnNyymrrtOv2IzABgwAPjjD/3e3x79+gF//aVtN7KEBO7r33/XbpvepHFjoH59x1ItRowANm3SL/3FW7RqJSK3KAkJLD5bsYLnui9cb42KCFyTY7FQzBXNNz1/nrlvZkAtprPFXwVufHw2TpxwPRnXV/xwAboMbN7s+fdRo8V63YhiY3lcdu3S5/3tERQEDB5MZwAt6dSJK0u+uoTbty9w9CiwcWPpz1MUpjX89pvvfN9cpVUrFtfdequ2zUJ8GTWtBaCVmK95QRsFEbgm5+zZMFSqVPzObJb8W8BcObixsVluWRHVru2dRgpacPXVwJo1nn+foCAWY+7e7fn3KomBA40X2WzeHDh9WlsxqijAXXdxCdcXUxXUorNp08q2BAsLo33YJ59oa71mRFq0YI7yyJH6fo+MhKJwdaZ9e7Y8PndO7xH5HiJwTc6xY1ElFpiZIf8WsO+YUFDA9qP+RkJCNo4fdz2CW7Om71Q+V6jARgzeqEjv1k3fnMmEBP4YLQJ2221sRatldDshgS1gjZaW4ShqdO6TT8ouOktM5D784APfFPTO0KwZRe7tt4vItaVVK1rlvfOOpHE4ix/ewgVnOHo0CnXrFr/7HDoE1Kjh/fHogT0xW1DgnxHc4OACZGe7/vpq1XzDKkylYUN24/M0FSsCFy7o62E6aJDxrLSSk7kSpHVb486d6f7iq6kKSUn0DP7ss7LFf716rLD/9lvvjE1PbEWukVJu9KZqVeDJJ+kxbaQW3UZHBK7JOXcuFOXLF388J6d4Xqq/Yi8dwV9TFAD32u4GBfmW4X779tqLq5Lo2BFYutQ772WPxEQW1xkthWTAAGD27LKjlc6gKMCddzJVwVc9Y6+6ilXzjkSiU1NZ8Dt3rseHpTvNmgGffw6MHg3s3Kn3aIxDdDTw1FPcJxMnSvGZI4jANTE5OUBQkKVYA4CLF4GICH3GpAf2Irj+LHArVLC4lYcbF8ciRF+galVG+bxxM2jXDli1yvPvUxqDBwNTp+o7hqKEhAD9+wOTJ2u73XLlgA4djOcD7AzXX8/Vsk2byn7usGF0VTBSYw9P0aQJ8OWXXJrfvl3v0RiHwEBO7JKSgHffDUBOjki40pC9Y2LS04EGDc4We/zAAZr6m4WCguJdvuLimMPpj1SuDBw54vrr27TxraKXBg28s9wZHMx8OT33TXIyV16M1hChdWtG/7WeaHTtyhQUd85nPVEU4O67HTs/VWeFyZOBY8c8Pza9adyY7WtfeIG59IKVHj2AXr0KsHt3gt5DMTQicE1MYiJw1VXFXf/372cxkVmwF8GtV49RBH+kcmWLW7mL7dpRJPsK7dvTU9IbXH+9/t7RQ4YYL4oLADff7H676KLYuir4aqpCaCibQDj63IceYp5qZqZHh2UIGjXiZ/3wQxG5RWnUyP79W7AiAlcohhkjuP7omFASVav6bsTLFapXZ0TTLDlrFSvyfDbLMU5MZHvbGTP0Hol3KFeOdloffOBb+fCukpxMUf/hh77TSVEwBia6rQuOYqYmDwCFj5kEbkwMK/7NgqIwIm80Cy1PwiiueU7qbt3YrvjoUb1H4h3q1mXTCzM4KwDMOX3oITY9cKd+QDAX5rkCCg5hsWi/jGh0/NUSrCTU42uWiCbg3TQFI1C5Mo/zqVNhZT/ZD1BTFb7+2ndTFZylQwdOVv/8U++ReIekJODhh9n1zN+7uwnaIAJXKMSpU7yQmIn8fHNFcAEgPt5cnXFq1mRuuZlE/ZAhBVixwoeSpd0kKQlo2xaYOVPvkXiPoUNZoOaIC4M/kJhIkfvJJyJyhbIx2W1dKIvDh2nmbybsuSj4O6p9lllQFHbmM1MnoIoV2djj4EG9R+I9evSglZYZXAYAntf3388GH2ZJz0hMBB55hCLXLMdZcA0RuEIh/vuP4sdMBASYZ1lTpUYNmEr4AOwGpWcjBj1o3/4oJk82z2VebQDx1Vfm+U6HhDA/9YsvAnD5cpDew/EK5cpR5H76qYhcoWTMc+UTHOLwYfMJ3KAg/+/zXpSaNemWYSZq1eJnNlOaQlxcDmJigL179R6J90hOZs610doWe5KEBGDkyALMmFHLFM4KAEXuo49S5Jolei04hwhcoRBmc1AA3Gtd66vExZnLSQFgdC8lhY0BzMSgQQWadxEzOl270jXDTKsUtWsDTZuewrffBphmEpeQQJH72WcicoXiiMAVrqBeFM2WjxoYaA4/yaKY8XN37Gi+NIXEREa7du/WeyTeQ3VV+PZbc53jDRqcQ0KCBbNm6T0S75GQAIwbR5FrFu9nwTFE4ApXyMwEoqP1HoX3MWOKAkArKbNFPSpXpo+mmUQPAAweDNNFcRMSgO7dgV9/1Xsk3mXwYAv27QPWrtV7JN4jPp4i9/PPzVU8K5SOCFzhCseOsfLabJgxkgkwD9dMS7gqzZoBmzfrPQrvkpAAVKpkvvSMa6/lhMZMTT4UBbj3Xvrjmun7HR8PPPYY8MUXInIFIgJXuEJaGm+CZsOsEVwzFpoBFD3Lluk9Cu8zaBAwZYreo/A+d94JfPcdkJOj90i8R3Aw/WK//tpcftdxccDjj1Pk/vef3qMR9EYErnCFtDSJ4JqJypXNmbOWmAikp5tL8ABAbCxQvTqwZYveI/Eu0dFAv37AxIl6j8S7xMYCY8cCH3xgrnM9NpYi98svgUOH9B6NoCcicIUrpKUBFSroPQrvY9YIblCQebxCi9KqlblyFFUGDqR9llmq7FXatGGNwfbteo/Eu1StCgwYwPa2Zjrmqsj9+mtzpWkIhRGBK1zBrEVmZrQJU4mJMZ9dGECf1BUr9B6F94mOBurWBTZu1Hsk3ueOO4CffwaysvQeiXdp1gxo2BD46Se9R+JdVJH7zTcics2KCFzB9Jg1RQEwbx5ubCyQmwtcvKj3SLxP//7AH3+YK6IHABERwI03AhMm6D0S79OrF4X9okV6j8S7xMRYRa4Zr3NmRwSuAIAXv9BQvUehDyEhFDtmpHZtc3W5suWaa4BVq/QehfeJjAQaNwb++UfvkXifpk05od2wQe+ReJ/bbwdWrzafk0ZMDPDEE8D48cD+/XqPRvAmInAFAMCpU2xxaUZCQ823bKlSuzawb5/eo9CHdu2AlSv1HoU+3HADMHOmOXOwb7sNmDrVfNH7gADgoYeAX36hdZqZiI5mJHfCBBG5ZkIErgCAAjcpSe9R6ENYmHkFbng4cPmy3qPQh7AwpiqcPKn3SLxPWBjQti2weLHeI/E+oaHAiBFctjYb4eHAgw+y6MxsAt9W5Jp1Um82ROAKAETgmlXgAvSOPH9e71How3XXmS8vUaVnT2DBAnOm56Sk8LxfvVrvkXifxERGsd9/33y1B9HRTFf47jvzpmaZCRG4AgBzC9yAAPMV3NhSr565Oj3ZctVVwLZt5jz+QUFA167A3Ll6j0Qfhg0DZs0yp4tIvXqc3H39tfnO/ago4MkngR9+MO91zyyIwBUAmFvgmp26dYE9e/QehT4oCm/2Zv38HTsCa9aYcwUjOJiFV199ZT6RB9Aqr1w5YMYMvUfifSIjGcn98UcRuf6MCFwBAJCRwZmtYD5q1DC3hc511wELF+o9Cn0ICGDB2fTpeo9EH2rVYjOEpUv1Hok+DBlCj1gzNj1RRe7Eiead4Po7InCFKyiK3iMQ9CA4mLl4ZoxiAUCVKsCJE+bMRQWA1q2BnTvZvtiMDB7MXOQzZ/QeifdRFOCee4DZs805yY2MZOHZTz8Bu3frPRpBa0TgCqYVNraYXdyXL29ONwGV1q3NGcUCeO4PHgxMmaL3SPQhKAgYMwb4/HNzXguDg4GHH6arxNmzeo/G+6iR3F9+AXbt0ns0gpaIwBVw6ZKkJwDmvLmpmDkPFQCuvRZYtkzvUehH48b0Rj19Wu+R6EPVqmwC8eefeo9EH2JigLvvBj74AMjO1ns03icigpHcSZO4miH4ByJwBZw9C8TH6z0KfTFzNzOAhWZmLraIieG/Zl2mB4ChQ3mDNyt9+wKbNgFHjug9En2oUgUYNAj46CNzTvYjIhjJ/fVXEbn+gghcAefOicCNjAQyM/UehX5UqWLeG7tKaiqwZIneo9CPWrUYvTt6VO+R6IOiMIr55Zfm84dVadoUaNKEhVdmJDzcKnLN1tLYHxGBK+DCBcX0AjcqynydfWwJ+P8rgVlv7IC583BVbr4Z+PlnvUehH+XKAT16mDuS3aMHkJPDwjszEh5On9zJk4Ht2/UejeAOInAFieCCEVwzC1yAETwzVlKrBAUB1aqZu1d9pUr8Lpi5y1OHDsxFNnPB0ahRnOyZVeCFhTGSO3UqG8EIvokIXEEELkTgAmxfavZlue7dgXnz9B6Fvtx0k7kjmABdFX780ZwNMACu6Dz0EM+DtDS9R6MPYWEsPJs2TUSuryICV8C5c5KiIAIXaNBAvCCrVaObQE6O3iPRj3LlmJO9ZYveI9GPyEgK/W+/1Xsk+hEWBjz4IPDJJ+atT7AVuVu36j0awVlE4Aq4eJEXdDMTFWXuCnqA58ClS+asoLalXTtg9Wq9R6EvgwbRF9fM50KTJszH/OcfvUeiH4mJwMiRwPvvmzc/X01X+OMPc0/6fBERuAIAaXQQEyMCF2DDhxMn9B6Fvlx7rXlbt6pERwPNmwPLl+s9En0ZMQKYMQO4cEHvkehH3bpAly50lzDrhCc0lJHc6dOBzZv1Ho3gKCJwBQFAbKy5b2IqKSniARkRQYFndqHfpw8wd665/aFDQoDRo4EvvjCvuAOAa67h5Hf6dL1Hoh+hoYzkzpxJv2TB+IjAFQRIBFelYUMpNAOArl2Bv//WexT6EhICdOsGzJ6t90j0pWZNRjHNfj4MGgT89x+wZo3eI9GPkBBGcmfNEpHrC4jANTn5+QoCA/Uehf6Ehpq7sEglKQk4dUrvUehPw4a0iSoo0Hsk+tKxI7BunRRg9u8PrFplXkcBgGls99wD/PWXua30VJH755/Ahg16j0YoDRG4JicrKxBRUXqPQjAKiiJd3QDuh6ZNgY0b9R6JvigKMHgwTe/NTEAAMHYs81Dz8/UejX4EBQEPP0x3idOn9R6NfoSEAI89xhSe9ev1Ho1QEiJwTc6lS0GIjjZxcpkNZs6xs6VBA3Ob3Kt06QIsXKj3KPSnaVPg2DGJ7Ccns53z1Kl6j0RfoqOB++4DPvwQuHxZ79HoR0gIMG4cfbNF5BoTEbgmJysrWCK4/4+iiMgFuDxv9kIzgM1PCgqk+BAAhg0zdwtfleuuAw4dAvbt03sk+lKxIts6f/CBuSPatiJ33Tq9RyMURQSuybl8OQgxMXqPwhhIswdSo4a5W/ba0qkTsGiR3qPQnxo1uExv5txLgJPgu+4Cxo+XnP2GDYH27c3dDAMAgoMpcufPZ3tjwTiIwDU52dmBiIjQexTGID6ebYvNTmAgxYzZb+AA0KoVIzMS2ZcorkpMDDBwIPDdd3qPRH9SU7k/Zs7UeyT6oorcBQvM3RjEaIjANTnZ2YEID5e7NwAkJABnz+o9CmMgebgkMJCRqu3b9R6J/pQrB1SvLpXjANCyJdNXxCqKLY337xdhp4rcRYvMbaVmJETgmpycnACEh+s9CmMgAtdKkybSllKle3daIwn0Qp02TezTAGDUKLpLZGToPRJ9URTg3nvpKGD23OSgIODRR4HFi0XkGgERuCaHEVy9R2EMROBaqV1bblYqiYns5iXFZuzy1rat5CUD9M4eORL46itJYVHtw8aPN7d9GGAVuUuW0DtZ0A8RuCYnJ0dycFUSEiQHVyUwkBXCWVl6j8QYdOsmnaxUevakfZrkaLPDWeXKjNiZHdU+7IMPzG0fBlDkPvIIsHw5sHKl3qMxLyJwTY5EcK3ExwNnzug9CuOQkiJ2YSrNm7Ppg9kjdQBv3n36ADNm6D0SYzBkCKN1J07oPRL9qVgRGD4ceP99c9uHAdao9ooVInL1QgSuycnJEYGrEhYGZGfrPQrjIHm4VgICuD+kqIi0awds2wakp+s9Ev0JDGQL288/F1EHcGLcoQPwzTcyIVRF7sqVjOYK3kUErsnJz1cQFKT3KAQjUrOm+OHa0q0bvS4FFhbddBPw6696j8QYJCfTM/m33/QeiTFITQXi4sQ+DLCK3DVrROR6GxG4glAEs0cdVBSFUe1Ll/QeiTGIj+c+kUJEkpICnD8PpKXpPRJj0KkT94Wk9ZAbbwQOHhQ3AYBR/oceopXasmV6j8Y8iMAVBBuio4HMTL1HYRwaNRIPWFu6d2dbToGMGAH8+KPeozAOd90FTJwok0KAk8F77qHF3t69eo9GfwIDgQcfZLezpUv1Ho05EIFrchRF7xEYi6Qk4NQpvUdhHJo0AbZu1XsUxqFJE+aeig8sqViRDSDkHCGRkSyy+vprvUdiDNTl+QkTxD4MsIrc9etZmCh4FhG4gmCDCNzCVKsG/Pef3qMwDorCLlbr1+s9EuMwdChzT0X0k4YN6Z0sUToi9mGFUUXuxo3iJ+1pROAKgg0icAujKDT3N3u3Jlu6dBFPXFsiI9n8YeFCvUdiHG66CViwADh5Uu+RGAOxDytMQADwwAN0qRGR6zlE4AqCDcnJInCLImkKhYmJYfGd+J5a6dmTzQ6kMQgJCgLGjqV1mES2iWof9vXXUsgLUOTefz+vrQsW6D0a/0QEriDYkJgoArcoapMDwUrv3sCcOXqPwjgEBgIDBgBTpug9EuNQsSIFnewTK6mp7BgpTUJIQADTN7ZvF5HrCUTgmhiZRRdHmj0Up3x54PhxOV9sqVePHsHSrtZKy5bAoUMyQbSlc2fmsO/Zo/dIjMOQITxPxD6MqJHcnTsl9UlrROCamLw8IDBQVItQNpUrA8eO6T0K46AojEZJIVFhbrlFbMNsURSmKnz/vaRvqIh9WHEUBbj3XmD3bmkmoyUicE1Mbi4QFCQJYkUJDKT4F6y0aCFpCkW59loKXIlsW6lWDQgP541aIFFRdJoQ6zArQUHAI4+IfZgtqvDfs0e8trVCBK6JycsDAgLk7lwUcVIojhSaFSckBKhdG9i1S++RGIthw4BffhHhb8tVV7E4ccUKvUdiHKKiuDT/wQfSGENFFbl79wJz5+o9Gt9HBK6JKSgAFEXuQkWpUIE5p4KVsDBG/CWyXZhevaTYrCixsUDTptKStCjDh1O0SMTSSoUK3C8ffCD2YSqKAtx9N3P8ReS6hwhcE1NQwAR3oTAicO2TkgLs2KH3KIxFcjKF/9mzeo/EWPTtyxxLKcKzolqHffaZWIfZkpLCdB+xD7Oi5m4fPAjMnq33aHwXkTcmRiK49qlQAUhL03sUxkPycO3Tq5fkzBUlOBjo0wf44w+9R2IsKlcGrr4a+P13vUdiLK69VuzDiqIowF13AYcPi8h1FZ8WuPn5+XjrrbfQsWNHJCUlIT4+HqmpqVgghnIOYbFIDq49ypcXE3971KoF7N+v9yiMx1VX0cdS0jcK064d85Mlul2Y7t2BffvEQaAoYh9WHEUB7rwTOHIEmDVL79H4Hj4tcC9fvozXXnsNzZo1w4QJEzBp0iRUrlwZ3bp1wyw5G8pElsnsExLCZWehMIrC/Mrz5/UeibFQFIq5Vav0HomxUBTmV/70k94jMRZqjuWECWIdZovYh9lHUYAxY7iqOHOm3qPxLXxa4IaHh+PAgQP48MMP0bdvX/To0QM///wzmjdvjnfffVfv4Rke5uBKBLckJB+sONLVzD6dO0tPeXvUrs3vkUT+CxMdzYjl+PF6j8RY2NqHiZONFUUB7riDK4uSxuE4Pi1wAwMDER8fX+gxRVHQrFkzHBNX+jJhDq7eozAmsbFAerreozAezZqJwLVHWBhzt0XIFWfECGDiRJkwFqVZM543q1frPRJjodqHffih2IfZoijA6NEU/tOn6z0a38CnBa49CgoKsHLlSqSkpOg9FMMjRWYlI04K9omPBy5cELFijz59pBjEHgkJbG0suZXFueUW4M8/JU+5KBUqcGL0/vtiH2aLogC33w6cOQNMny7RqbII0nsAWvPxxx9j9+7d+PLLL0t8TnZ2NrKzs6/8nv7/obrc3Fzkmij5Mjc3DwEBMNVndpSkJAWHDwO1avmPklOPs7vHu1o1BXv2WFCrlhaj8h+Sk4GzZwNw/nwBIiP1Ho12x1sL+vYFXnstAC1aFMiqURFGjQK++ioAjz7qXlGEkY63FtSuDbRvr+D774FbbvGf67AWjBgBjB9fgJMnE9Gtm38cb0dx5vxWLBZjxWIuXLiANAc8mmrWrInQ0NBCjy1ZsgTdu3fHgw8+iLfeeqvE177wwgt48cUXiz3+888/IyIiwvlB+ygFBUB+fgCCg6XarCh5eQoUBQgMNNTXwxDk5gYgKEiEij1ycgIQEiLfJ3vIvikZ2TclI/vGPhYLr8Vm2zeXLl3CsGHDcOHCBcTExJT6XMMJ3O+++w6jRo0q83kbN25Es2bNrvy+ZcsWpKamokePHpg0aRKUUu6+9iK4VatWxenTp8vcYf5Ebm4u5s+fj27duiE4OFjv4QgeRo63uZDjbS7keJsLsx7v9PR0JCYmOiRwDZeiMHLkSIwcOdKp1+zbtw89evRAixYt8OOPP5YqbgEgNDS0WPQXAIKDg011oqiY9XObFTne5kKOt7mQ420uzHa8nfmsPl9kdvz4cXTv3h0VKlTAH3/8gZCQEL2HJAiCIAiCIOiI4SK4znD58mX07NkTJ0+exHvvvYcdO3YU+nvbtm11GpkgCIIgCIKgFz4tcE+cOIHNmzcDAPr371/s7wZLLxYEQRAEQRC8gE8L3Bo1aoiIFQRBEARBEArh8zm4giAIgiAIgmCLCFxBEARBEATBrxCBKwiCIAiCIPgVInAFQRAEQRAEv0IEriAIgiAIguBXiMAVBEEQBEEQ/AoRuIIgCIIgCIJfIQJXEARBEARB8CtE4AqCIAiCIAh+hQhcQRAEQRAEwa8QgSsIgiAIgiD4FSJwBUEQBEEQBL9CBK4gCIIgCILgV4jAFQRBEARBEPwKEbiCIAiCIAiCXyECVxAEQRAEQfArROAKgiAIgiAIfoUIXEEQBEEQBMGvEIErCIIgCIIg+BUicAVBEARBEAS/QgSuIAiCIAiC4FeIwBUEQRAEQRD8ChG4giAIgiAIgl8hAlcQBEEQBEHwK0TgCoIgCIIgCH6FCFxBEARBEATBrxCBKwiCIAiCIPgVInAFQRAEQRAEv0IEriAIgiAIguBXiMAVBEEQBEEQ/AoRuIIgCIIgCIJfIQJXEARBEARB8CtE4AqCIAiCIAh+hQhcQRAEQRAEwa8QgSsIgiAIgiD4FSJwBUEQBEEQBL9CBK4gCIIgCILgV4jAFQRBEARBEPwKEbiCIAiCIAiCXyECVxAEQRAEQfArROAKgiAIgiAIfoUIXEEQBEEQBMGvEIErCIIgCIIg+BUicAVBEARBEAS/QgSuIAiCIAiC4FeIwBUEQRAEQRD8ChG4giAIgiAIgl8hAlcQBEEQBEHwK0TgCoIgCIIgCH6FCFxBEARBEATBrxCBKwiCIAiCIPgVInAFQRAEQRAEv0IEriAIgiAIguBXBOk9ACNgsVgAAOnp6TqPxLvk5ubi0qVLSE9PR3BwsN7DETyMHG9zIcfbXMjxNhdmPd6qTlN1W2mIwAWQkZEBAKhatarOIxEEQRAEQRBKIyMjA7GxsaU+R7E4IoP9nIKCAhw7dgzR0dFQFEXv4XiN9PR0VK1aFYcPH0ZMTIzewxE8jBxvcyHH21zI8TYXZj3eFosFGRkZqFSpEgICSs+ylQgugICAAFSpUkXvYehGTEyMqb4gZkeOt7mQ420u5HibCzMe77IitypSZCYIgiAIgiD4FSJwBUEQBEEQBL9CBK6JCQ0NxfPPP4/Q0FC9hyJ4ATne5kKOt7mQ420u5HiXjRSZCYIgCIIgCH6FRHAFQRAEQRAEv0IEriAIgiAIguBXiMAVBEEQBEEQ/AoRuIIgCIIgCIJfIQJXAADk5+fjrbfeQseOHZGUlIT4+HikpqZiwYIFeg9N8BDz58/HsGHDULt2bSiKgvvuu0/vIQkasGfPHvTs2RORkZFITk7Ggw8+iMuXL+s9LMFD7N27F2PHjkWzZs0QFBSExo0b6z0kwUNMnjwZ/fv3R9WqVREZGYkmTZrg888/R0FBgd5DMyQicAUAwOXLl/Haa6+hWbNmmDBhAiZNmoTKlSujW7dumDVrlt7DEzzAnDlzsGnTJnTs2BFxcXF6D0fQgPPnz6Nz587IyMjA1KlT8c477+Cnn37CmDFj9B6a4CG2b9+OP//8E3Xq1EHDhg31Ho7gQd59912Ehobi7bffxqxZs9C/f3888MADeOKJJ/QemiERmzABACO46enpiI+Pv/KYxWJBq1atEBMTg0WLFuk4OsETFBQUXOnlXaNGDfTt2xeffPKJzqMS3OHNN9/ESy+9hEOHDiExMREA8PPPP2P48OHYsWMHUlJSdB6hoDW23+ORI0di3bp12LZtm86jEjzBqVOnkJSUVOixRx55BJ9//jnOnz8vnrhFkAiuAAAIDAwsJG4BQFEUNGvWDMeOHdNpVIInUW+Kgv8we/ZsdO3a9Yq4BYBBgwYhNDQUs2fP1nFkgqeQ77F5KCpuAaB58+bIysrC2bNndRiRsZFvhlAiBQUFWLlypUR9BMFH2LlzZ7Hva2hoKGrXro2dO3fqNCpBEDzFsmXLkJCQgOTkZL2HYjhE4Aol8vHHH2P37t145JFH9B6KIAgOcO7cObv51PHx8RLhEQQ/Y926dZgwYQIefvhhBAYG6j0cwxGk9wAEz3HhwgWkpaWV+byaNWsWy91ZsmQJHn/8cYwbNw6pqameGqKgIe4cb8F/UBSl2GMWi8Xu44Ig+CbHjx/HoEGD0KZNGykyKwERuH7M77//jlGjRpX5vI0bN6JZs2ZXft+yZQv69euH/v3748033/TgCAUtcfV4C/5DfHw8zp07V+zx8+fPS6qRIPgJFy5cQK9evRAREYEZM2YgODhY7yEZEklR8GNGjhwJi8VS5o+t2Nm3bx969OiBFi1a4Mcff5Sojw/hyvEW/IuUlJRiubbZ2dnYt2+fCFxB8AOysrJwww034MSJE5g7dy7KlSun95AMiwhc4QrHjx9H9+7dUaFCBfzxxx8ICQnRe0iCIDhB7969sWDBApw5c+bKY7///juys7PRu3dvHUcmCIK75OXl4cYbb8TmzZsxd+5cVK9eXe8hGRpJURAAsNFDz549cfLkSbz33nvYsWNHob+3bdtWp5EJnuLQoUNYu3YtAODSpUvYt28fpkyZAgAYPHiwnkMTXOSuu+7Cxx9/jH79+uHZZ5/FyZMn8cgjj2D48OESwfVTLl26dMUC7tChQ0hPT7/yPVY7Uwr+wb333ouZM2firbfewqVLl7B69eorf2vYsCFiYmJ0HJ3xkEYPAgDg4MGDqFmzZol/l9PE//juu+9KzNmV4+277NmzB/fffz+WL1+OiIgI3HzzzXjzzTcRHh6u99AED1DatXvRokXo1KmTdwckeIwaNWrg0KFDdv8mx7o4InAFQRAEQRAEv0JycAVBEARBEAS/QgSuIAiCIAiC4FeIwBUEQRAEQRD8ChG4giAIgiAIgl8hAlcQBEEQBEHwK0TgCoIgCIIgCH6FCFxBEARBEATBrxCBKwiCIAiCIPgVInAFQRAEQRAEv0IEriAIgglo3bo1Pvroo0KPHTx4EC+88ALOnz9/5bFXXnkF3bp18/LoBEEQtEUEriAIgp8zbdo0HDp0CGPGjCn0+Pz58/HGG28gKirqymP33Xcf1qxZg4ULF3p7mIIgCJohAlcQBMHP+eCDDzBs2DCEh4cXenzz5s1ISUlBUFDQlcfi4uIwYMAAfPjhh94epiAIgmaIwBUEQTAwa9asgaIo+Pnnn688dubMGdStWxe9evVCXl5eqa/fv38/li1bhsGDBxd6vFKlSvj000+xadMmKIoCRVHw3XffAQCGDBmC2bNn49SpU5p/HkEQBG8gAlcQBMHAXH311ejbty9effVVFBQUIDs7G/3790dUVBR+++23QtFXeyxYsADBwcFo3bp1ocd///13REdH48EHH8SqVauwatUqDBgwAADQvn175OXlYfHixZ76WIIgCB6l9CujIAiCoDsvvfQSWrZsiSlTpmD69Ok4ePAg1qxZg+jo6DJfu27dOtSrVw+hoaGFHq9evToyMjLQq1cvtG3bttDf4uPjUa1aNaxZswZDhgzR9LMIgiB4AxG4giAIBqd58+YYMGAARo0ahaCgICxfvhyVKlW68vfRo0dj7ty5OHbsGHJzcwtFddPS0pCUlFRsm5s3bwYANG3a1O57JiYm4vjx4xp/EkEQBO8gKQqCIAg+QN26dXHp0iWMGzcOV111VaG/3XrrrdiwYYPd12VlZRWL3gIUuMnJyahQoYLd14WFheHy5cvuD1wQBEEHROAKgiAYnJ9++gnvvPMOWrZsiQkTJiA3N7fQ3zt27Ijy5cvbfW1CQkIhn1uVTZs2lRi9BYBz586hXLlybo1bEARBL0TgCoIgGJglS5bg9ttvx/vvv49Jkybhv//+w/jx4x1+ff369XHgwIFij+/ZswcpKSl2X1NQUID//vsP9evXd3ncgiAIeiICVxAEwaDs2rULAwYMwD333IP7778fderUwbBhw/DKK68gOzvboW20b98eJ0+exJEjRwo9HhcXh5UrV2Lx4sVYvXo1cnJyrvxtx44duHjxIq699lpNP48gCIK3EIErCIJgQE6ePInevXsjNTUV77777pXHn3nmGaSlpeHLL790aDudOnVCYmIi5syZU+jxV199FdnZ2ejevTtSU1ML/W327NmoXr16MWsxQRAEX0GxWCwWvQchCIIguI+iKMVcFADg0UcfxcaNGx1uv9uiRQv0798fzz33nCeGKQiC4HEkgisIguDj3HLLLahSpQoAoEaNGrj55psL/f2xxx7DmjVrsHHjxjK3tWTJEhw8eBAPPPCAR8YqCILgDSSCKwiCYAImT56M2NhYdO/evdTnzZw5E4qioG/fvl4amSAIgvaIwBUEQRAEQRD8CklREARBEARBEPwKEbiCIAiCIAiCXyECVxAEQRAEQfArROAKgiAIgiAIfoUIXEEQBEEQBMGvEIErCIIgCIIg+BUicAVBEARBEAS/QgSuIAiCIAiC4FeIwBUEQRAEQRD8ChG4giAIgiAIgl/xf+7bhckAcR6yAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 800x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(8, 8))\n",
    "\n",
    "A_phase = np.array([[-1, 1], [0, -2]])\n",
    "\n",
    "for x1_0 in np.linspace(-2, 2, 8):\n",
    "    for x2_0 in np.linspace(-2, 2, 8):\n",
    "        sol = odeint(lambda x, t: A_phase @ x, [x1_0, x2_0],\n",
    "                     np.linspace(0, 5, 500))\n",
    "        ax.plot(sol[:, 0], sol[:, 1], 'b-', lw=0.5, alpha=0.7)\n",
    "\n",
    "ax.set_xlabel(r'$x_1(t)$'); ax.set_ylabel(r'$x_2(t)$')\n",
    "ax.set_title('Fázisportré – szabad mozgás (s=0)')\n",
    "ax.grid(True); ax.set_xlim(-2.5, 2.5); ax.set_ylim(-2.5, 2.5)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "643112d4",
   "metadata": {},
   "source": [
    "## 4.5. Önálló feladatok\n",
    "\n",
    "> **A)** Írja fel az $y''' + 6y'' + 11y' + 6y = s(t)$ rendszer állapotváltozós alakját és oldja meg!\n",
    ">\n",
    "> **B)** Vizsgálja az $\\mathbf{A}$ mátrix sajátértékeinek hatását: próbáljon stabil, instabil és határesetet!\n",
    ">\n",
    "> **C)** Rajzolja meg az állapotváltozók ($x_1(t)$, $x_2(t)$) időfüggvényét!\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d104ac27",
   "metadata": {},
   "source": [
    "---\n",
    "# 5. gyakorlat: Fourier-sor és frekvenciatartománybeli analízis\n",
    "\n",
    "**Cél:** Periodikus jelek Fourier-soros felbontása, spektrum, Bode-diagram.\n",
    "\n",
    "## 5.1. Elméleti összefoglaló\n",
    "\n",
    "**Fourier-sor** ($T$ periódusú jel):\n",
    "$$x(t) = \\frac{a_0}{2} + \\sum_{n=1}^{\\infty} \\left[ a_n \\cos(n\\omega_0 t) + b_n \\sin(n\\omega_0 t) \\right], \\quad \\omega_0 = \\frac{2\\pi}{T}$$\n",
    "\n",
    "**Komplex alak:** $x(t) = \\sum_{n=-\\infty}^{\\infty} c_n \\cdot e^{jn\\omega_0 t}$\n",
    "\n",
    "**Átviteli karakterisztika:** $H(j\\omega) = |H(j\\omega)| \\cdot e^{j\\varphi(\\omega)}$\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "eaa5c9b7",
   "metadata": {},
   "source": [
    "## 5.2. Négyszögjel Fourier-sora\n",
    "\n",
    "**1. feladat:** A négyszögjel közelítése növekvő harmonikus számmal.\n",
    "\n",
    "$$x(t) \\approx \\frac{4}{\\pi} \\sum_{n=1,3,5,...} \\frac{1}{n} \\sin(n\\omega_0 t)$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "7145b4b8",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x800 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "T = 2 * np.pi\n",
    "omega0 = 2 * np.pi / T\n",
    "t = np.linspace(-2*T, 2*T, 2000)\n",
    "\n",
    "x_square = np.sign(np.sin(omega0 * t))\n",
    "\n",
    "fig, axes = plt.subplots(2, 2, figsize=(12, 8))\n",
    "for ax, N in zip(axes.flat, [1, 3, 9, 49]):\n",
    "    x_approx = np.zeros_like(t)\n",
    "    for n in range(1, N+1, 2):  # csak páratlan: 1, 3, 5, ...\n",
    "        x_approx += (4 / (n * np.pi)) * np.sin(n * omega0 * t)\n",
    "    \n",
    "    ax.plot(t, x_square, 'b-', alpha=0.3, label='Eredeti')\n",
    "    ax.plot(t, x_approx, 'r-', lw=1.5, label=f'N={N}')\n",
    "    ax.legend(); ax.grid(True)\n",
    "    ax.set_title(f'Fourier-közelítés, N={N} harmonikus')\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c13d4f17",
   "metadata": {},
   "source": [
    "## 5.3. Fourier-együtthatók numerikus számítása\n",
    "\n",
    "**2. feladat:** Fűrészfog-jel komplex Fourier-együtthatóinak ($c_n$) kiszámítása.\n",
    "\n",
    "$$c_n = \\frac{1}{T} \\int_0^T x(t) \\cdot e^{-jn\\omega_0 t} \\, dt$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "0aa818e8",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "T_saw = 1.0\n",
    "omega0_saw = 2 * np.pi / T_saw\n",
    "\n",
    "def sawtooth(t):\n",
    "    return (t % T_saw) / T_saw\n",
    "\n",
    "N_harm = 20\n",
    "cn = np.zeros(2*N_harm + 1, dtype=complex)\n",
    "\n",
    "for n in range(-N_harm, N_harm + 1):\n",
    "    idx = n + N_harm\n",
    "    re, _ = quad(lambda t: sawtooth(t) * np.cos(n*omega0_saw*t), 0, T_saw)\n",
    "    im, _ = quad(lambda t: sawtooth(t) * np.sin(n*omega0_saw*t), 0, T_saw)\n",
    "    cn[idx] = (re - 1j*im) / T_saw\n",
    "\n",
    "n_vals = np.arange(-N_harm, N_harm + 1)\n",
    "\n",
    "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(12, 4))\n",
    "ax1.stem(n_vals, np.abs(cn)); ax1.set_title('|cₙ| – amplitúdó spektrum')\n",
    "ax1.set_xlabel('n'); ax1.grid(True)\n",
    "ax2.stem(n_vals, np.angle(cn)); ax2.set_title('arg(cₙ) – fázis [rad]')\n",
    "ax2.set_xlabel('n'); ax2.grid(True)\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "33a45304",
   "metadata": {},
   "source": [
    "## 5.4. Bode-diagram\n",
    "\n",
    "**3. feladat:** RC aluláteresztő: $H(j\\omega) = \\frac{1}{1 + j\\omega RC}$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "324d6214",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x800 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "RC = 0.1\n",
    "sys_bode = lti([1], [RC, 1])\n",
    "\n",
    "w, mag, phase = bode(sys_bode, np.logspace(-1, 4, 1000))\n",
    "\n",
    "fig, (ax1, ax2) = plt.subplots(2, 1, figsize=(10, 8))\n",
    "ax1.semilogx(w, mag, 'b-', lw=2)\n",
    "ax1.set_ylabel('Amplitúdó [dB]'); ax1.grid(True, which='both')\n",
    "ax1.set_title('Bode-diagram: RC aluláteresztő')\n",
    "\n",
    "ax2.semilogx(w, phase, 'r-', lw=2)\n",
    "ax2.set_ylabel('Fázis [°]'); ax2.set_xlabel('ω [rad/s]')\n",
    "ax2.grid(True, which='both')\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "55ecf8e3",
   "metadata": {},
   "source": [
    "## 5.5. Önálló feladatok\n",
    "\n",
    "> **A)** Háromszögjel Fourier-sora + Gibbs-jelenség vizsgálata.\n",
    ">\n",
    "> **B)** Négyszögjel átvezetése RC szűrőn – bemeneti/kimeneti jel ábrázolása.\n",
    ">\n",
    "> **C)** Másodrendű rendszer Bode-diagramja $\\zeta = 0.1, 0.5, 1, 2$ értékekre.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "797bdc38",
   "metadata": {},
   "source": [
    "---\n",
    "# 6. gyakorlat: Fourier- és Laplace-transzformáció\n",
    "\n",
    "**Cél:** FFT spektrumszámítás, Laplace résztörtek, pólus-zérus diagram.\n",
    "\n",
    "## 6.1. Elméleti összefoglaló\n",
    "\n",
    "**Fourier-transzformáció:** $X(j\\omega) = \\int_{-\\infty}^{\\infty} x(t) e^{-j\\omega t} dt$\n",
    "\n",
    "**Laplace-transzformáció:** $X(s) = \\int_0^{\\infty} x(t) e^{-st} dt, \\quad s = \\sigma + j\\omega$\n",
    "\n",
    "**Stabilitás:** Az $H(s)$ **minden pólusa** a komplex sík bal felében ($\\text{Re} < 0$).\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "535f22fb",
   "metadata": {},
   "source": [
    "## 6.2. FFT spektrum\n",
    "\n",
    "**1. feladat:** $x(t) = e^{-2t}\\varepsilon(t)$ spektruma. Analitikus: $X(j\\omega) = 1/(2+j\\omega)$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "1658725c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x800 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "dt = 0.001\n",
    "t = np.arange(0, 10, dt)\n",
    "x = np.exp(-2 * t)\n",
    "\n",
    "X = np.fft.fft(x) * dt\n",
    "freqs = np.fft.fftfreq(len(t), dt)\n",
    "pos = freqs >= 0\n",
    "omega = 2 * np.pi * freqs[pos]\n",
    "\n",
    "X_exact = 1 / (2 + 1j * omega)\n",
    "\n",
    "fig, (ax1, ax2) = plt.subplots(2, 1, figsize=(10, 8))\n",
    "ax1.plot(omega, np.abs(X[pos]), 'b-', label='FFT')\n",
    "ax1.plot(omega, np.abs(X_exact), 'r--', label='Analitikus')\n",
    "ax1.set_xlim(0, 50); ax1.set_ylabel('|X(jω)|')\n",
    "ax1.legend(); ax1.grid(True); ax1.set_title('Amplitúdó spektrum')\n",
    "\n",
    "ax2.plot(omega, np.angle(X[pos]), 'b-', label='FFT')\n",
    "ax2.plot(omega, np.angle(X_exact), 'r--', label='Analitikus')\n",
    "ax2.set_xlim(0, 50); ax2.set_ylabel('arg [rad]')\n",
    "ax2.set_xlabel('ω [rad/s]'); ax2.legend(); ax2.grid(True)\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7296ca25",
   "metadata": {},
   "source": [
    "## 6.3. Laplace – résztörtek\n",
    "\n",
    "**2. feladat:** $H(s) = \\frac{s+1}{(s+2)(s+3)}$. Résztörtekre bontás + inverz Laplace."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "31923df3",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Résztörtes kifejtés:\n",
      "  -1.0000 / (s - (-2.00))\n",
      "  +2.0000 / (s - (-3.00))\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "num = [1, 1]      # s + 1\n",
    "den = [1, 5, 6]   # s² + 5s + 6\n",
    "\n",
    "r, p, k_r = residue(num, den)\n",
    "print(\"Résztörtes kifejtés:\")\n",
    "for i in range(len(r)):\n",
    "    print(f\"  {r[i]:+.4f} / (s - ({p[i]:.2f}))\")\n",
    "\n",
    "sys_lap = lti(num, den)\n",
    "t = np.linspace(0, 6, 1000)\n",
    "t_out, y_out = impulse(sys_lap, T=t)\n",
    "\n",
    "# Analitikus: h(t) = Σ rᵢ·e^(pᵢt)\n",
    "y_exact = sum(r[i] * np.exp(p[i]*t) for i in range(len(r)))\n",
    "\n",
    "plt.figure(figsize=(10, 5))\n",
    "plt.plot(t_out, y_out, 'b-', lw=2, label='scipy impulse')\n",
    "plt.plot(t, y_exact.real, 'r--', lw=2, label='Résztörtes megoldás')\n",
    "plt.legend(); plt.grid(True)\n",
    "plt.xlabel('t [s]'); plt.ylabel('h(t)')\n",
    "plt.title('Inverz Laplace-transzformáció')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4f030007",
   "metadata": {},
   "source": [
    "## 6.4. Pólus-zérus diagram\n",
    "\n",
    "**3. feladat:** $H(s) = \\frac{(s+1)(s+4)}{(s+2)(s^2+2s+5)}$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "b0e15275",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Zérusok: [-4. -1.]\n",
      "Pólusok: [-1.+2.j -1.-2.j -2.+0.j]\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "A rendszer STABIL\n"
     ]
    }
   ],
   "source": [
    "num_pz = np.polymul([1, 1], [1, 4])\n",
    "den_pz = np.polymul([1, 2], [1, 2, 5])\n",
    "\n",
    "z, p, k = tf2zpk(num_pz, den_pz)\n",
    "print(f\"Zérusok: {z}\")\n",
    "print(f\"Pólusok: {p}\")\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(8, 8))\n",
    "ax.scatter(p.real, p.imag, marker='x', s=200, c='red', linewidth=3,\n",
    "           label='Pólusok', zorder=5)\n",
    "ax.scatter(z.real, z.imag, marker='o', s=200, facecolors='none',\n",
    "           edgecolors='blue', linewidth=2, label='Zérusok', zorder=5)\n",
    "ax.axvline(0, color='k', lw=0.5); ax.axhline(0, color='k', lw=0.5)\n",
    "ax.axvspan(-10, 0, alpha=0.1, color='green', label='Stabil tartomány')\n",
    "ax.set_xlabel('Re(s)'); ax.set_ylabel('Im(s)')\n",
    "ax.set_title('Pólus-zérus diagram'); ax.legend()\n",
    "ax.grid(True); ax.set_aspect('equal')\n",
    "plt.show()\n",
    "\n",
    "print(f\"A rendszer {'STABIL' if all(p.real < 0) else 'INSTABIL'}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "35b296c8",
   "metadata": {},
   "source": [
    "## 6.5. Önálló feladatok\n",
    "\n",
    "> **A)** Gauss-impulzus $x(t) = e^{-t^2}$ Fourier-transzformáltja numerikusan és analitikusan.\n",
    ">\n",
    "> **B)** $H(s) = 10/(s^2+4s+10)$: pólusok, ugrásválasz.\n",
    ">\n",
    "> **C)** Vizsgálja, hogyan változik a válasz a pólusok mozgatásával!\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "be4bcdbf",
   "metadata": {},
   "source": [
    "---\n",
    "# 7. gyakorlat: Diszkrét idejű rendszerek és z-transzformáció\n",
    "\n",
    "**Cél:** Differencia-egyenlet, diszkrét állapotleírás, z-transzformáció.\n",
    "\n",
    "## 7.1. Elméleti összefoglaló\n",
    "\n",
    "**Differencia-egyenlet:** $\\sum a_i \\cdot y[k-i] = \\sum b_j \\cdot s[k-j]$\n",
    "\n",
    "**z-transzformáció:** $X(z) = \\sum_{k=0}^{\\infty} x[k] \\cdot z^{-k}$\n",
    "\n",
    "**BIBO-stabilitás:** H(z) minden pólusa az **egységkörön belül**: $|p_i| < 1$.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0701a21d",
   "metadata": {},
   "source": [
    "## 7.2. Differencia-egyenlet\n",
    "\n",
    "**1. feladat:** $y[k] = 0.5 \\cdot y[k-1] + s[k]$, $s[k] = \\varepsilon[k]$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "2f9c1eae",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "N = 30\n",
    "k = np.arange(N)\n",
    "s_input = np.ones(N)\n",
    "\n",
    "# Lépésről lépésre\n",
    "y = np.zeros(N)\n",
    "for i in range(N):\n",
    "    y[i] = 0.5 * (y[i-1] if i > 0 else 0) + s_input[i]\n",
    "\n",
    "# scipy összehasonlítás\n",
    "sys_d = dlti([1], [1, -0.5], dt=1)\n",
    "t_d, y_d = dstep(sys_d, n=N)\n",
    "\n",
    "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(12, 4))\n",
    "ax1.stem(k, y); ax1.set_title('Lépésről lépésre')\n",
    "ax1.set_xlabel('k'); ax1.grid(True)\n",
    "\n",
    "ax2.stem(t_d, y_d[0].flatten()); ax2.set_title('scipy dstep')\n",
    "ax2.set_xlabel('k'); ax2.grid(True)\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "949a8f6a",
   "metadata": {},
   "source": [
    "## 7.3. Diszkrét állapotváltozós leírás\n",
    "\n",
    "**2. feladat:** $\\mathbf{x}[k+1] = \\mathbf{A}_d \\mathbf{x}[k] + \\mathbf{B}_d s[k]$, stabilitás vizsgálat az egységkörrel."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "018f5533",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Sajátértékek: [0.5 0.8]\n",
      "|λ|: [0.5 0.8]\n",
      "Stabil (|λ|<1)? True\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "A_d = np.array([[0.5, 0.3], [0.0, 0.8]])\n",
    "B_d = np.array([[1], [0]])\n",
    "C_d = np.array([[1, 1]])\n",
    "\n",
    "N_ss = 40\n",
    "x_state = np.zeros((2, N_ss))\n",
    "y_out = np.zeros(N_ss)\n",
    "s_in = np.ones(N_ss)\n",
    "\n",
    "for idx in range(N_ss - 1):\n",
    "    x_state[:, idx+1] = A_d @ x_state[:, idx] + B_d.flatten() * s_in[idx]\n",
    "    y_out[idx] = (C_d @ x_state[:, idx]).item()\n",
    "y_out[-1] = (C_d @ x_state[:, -1]).item()\n",
    "\n",
    "eigs = np.linalg.eigvals(A_d)\n",
    "print(f\"Sajátértékek: {eigs}\")\n",
    "print(f\"|λ|: {np.abs(eigs)}\")\n",
    "print(f\"Stabil (|λ|<1)? {all(np.abs(eigs) < 1)}\")\n",
    "\n",
    "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(12, 4))\n",
    "ax1.stem(range(N_ss), y_out); ax1.set_title('y[k]')\n",
    "ax1.set_xlabel('k'); ax1.grid(True)\n",
    "\n",
    "theta = np.linspace(0, 2*np.pi, 100)\n",
    "ax2.plot(np.cos(theta), np.sin(theta), 'k--', alpha=0.3, label='Egységkör')\n",
    "ax2.scatter(eigs.real, eigs.imag, marker='x', s=200, c='red', linewidths=3,\n",
    "            label='Pólusok')\n",
    "ax2.set_title('Pólus diagram'); ax2.grid(True)\n",
    "ax2.set_aspect('equal'); ax2.legend()\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0a20f7c4",
   "metadata": {},
   "source": [
    "## 7.4. z-transzformáció résztörtes kifejtés\n",
    "\n",
    "**3. feladat:** $H(z) = z/(z-0.5)$ impulzusválasza: $w[k] = 0.5^k \\cdot \\varepsilon[k]$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "7c49ed3c",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Reziduumok: [1.]\n",
      "Pólusok: [0.5]\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Max eltérés (analitikus vs scipy): 0.00e+00\n"
     ]
    }
   ],
   "source": [
    "num_z = [1, 0]\n",
    "den_z = [1, -0.5]\n",
    "r, p, k_r = residuez(num_z, den_z)\n",
    "\n",
    "print(f\"Reziduumok: {r}\")\n",
    "print(f\"Pólusok: {p}\")\n",
    "\n",
    "N_imp = 20\n",
    "k_idx = np.arange(N_imp)\n",
    "w_anal = (r[0] * p[0]**k_idx).real\n",
    "\n",
    "sys_z = dlti(num_z, den_z, dt=1)\n",
    "t_z, w_z = dimpulse(sys_z, n=N_imp)\n",
    "w_scipy = w_z[0].flatten()\n",
    "\n",
    "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(12, 4))\n",
    "\n",
    "ax1.stem(k_idx, w_anal, linefmt='b-', markerfmt='bo')\n",
    "ax1.set_title(r'Analitikus: $r \\cdot p^k$')\n",
    "ax1.set_xlabel('k'); ax1.grid(True)\n",
    "\n",
    "ax2.stem(t_z, w_scipy, linefmt='r-', markerfmt='ro')\n",
    "ax2.set_title('scipy dimpulse')\n",
    "ax2.set_xlabel('k'); ax2.grid(True)\n",
    "\n",
    "plt.suptitle('Impulzusválasz: H(z) = z/(z-0.5)', fontsize=13)\n",
    "plt.tight_layout()\n",
    "plt.show()\n",
    "\n",
    "print(f\"\\nMax eltérés (analitikus vs scipy): {np.max(np.abs(w_anal - w_scipy)):.2e}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "dc9aa8b2",
   "metadata": {},
   "source": [
    "## 7.5. Önálló feladatok\n",
    "\n",
    "> **A)** $y[k] = 0.6y[k-1] - 0.08y[k-2] + s[k]$, $s[k]=\\varepsilon[k]$.\n",
    ">\n",
    "> **B)** Mi történik, ha egy pólus $|p| > 1$ (az egységkörön kívül)?\n",
    ">\n",
    "> **C)** Ábrázolja $H(z)$ frekvenciaválaszát az egységkör mentén!\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b9546a46",
   "metadata": {},
   "source": [
    "---\n",
    "# 8. gyakorlat: Mintavételezés, rekonstrukció és digitális szűrés\n",
    "\n",
    "**Cél:** Shannon-tétel, aliasing, jelrekonstrukció, digitális szűrők.\n",
    "\n",
    "## 8.1. Elméleti összefoglaló\n",
    "\n",
    "**Shannon (Nyquist–Shannon) mintavételi tétel:**\n",
    "$$f_s \\geq 2 \\cdot f_{\\max}$$\n",
    "\n",
    "Ha $f_s < 2 f_{\\max}$ → **aliasing** (spektrumátfedés, torzítás).\n",
    "\n",
    "**Rekonstrukció:** nulladrendű tartószerv (ZOH), ideális aluláteresztő szűrő.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "18005506",
   "metadata": {},
   "source": [
    "## 8.2. Aliasing demonstráció\n",
    "\n",
    "**1. feladat:** 5 Hz-es jel mintavételezése különböző $f_s$ értékekkel."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "11fd4a74",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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b4MgRCTk5rI3Py9P0EpZGT9spnfMK6YjiSJKU8LvcPmuiPN65TFflOnPfffdh6dKlScfXrVuHPJ1qalVVlWbnkmVg585eqK2NjwbdbhknnliHwkLrGc96oqXuAHD4cA6+/rpXwrGBA5tRXt6i6XXsgJbaBwJubN/eG+Fw3PNUVBTCiSfWkTOqE1rqHosBO3aUoLHR13HM641h+PA65OZGNLuOHdC6ramuzsfevQUJx447rhGlpQFNr2MHtNYeAFpbWzU/p1HoZT+ZYTsB2n6/4bCE7dv7IBCIjwZzc6MYPrwWXi9FginRSvdjNmzA6SrKbX71VexvIVsK0LbO19bmYOfOXgkBaQMGtKCiolmza9gFLXUPBt3Ytq03QqG4kVpQEMawYXVwu1NEBzoYre3Wr74qRn29v+OYxyNj2LBa5OeT3apED9sJUG8/CemI4jN3dXV16NevX8fx+vr6hL+XlJR0zP4pqa+vh9frRX434UF33HEHbr311o7fGxsbMXDgQMyYMaPLKKpMCYfDqKqqwvTp0+HVaMrtyy8BWZYwdCgwZIiMo0cl1NayKIXJk2X4fD2fw+7ooXtDA/DWWxL69AEGDJDh8QB79jCDfdw4GaWlmlzG8mitfSwGvPmmhFNOAYqKgPJyGTt3SohEgMGDZaSxq7mt0aPOf/opAEjweFhbU10tobERKCgAJk2SaWYP+uheUwO8/76Efv2AY4+VEY0C+/dLcLmAs86SkSKYxZHooT2HR/tYCb3tJyNtJ0Cf7/e//5XgdjN7afBgGbt3S2hrA0pLgfHjaXAIaK+7lJ8PPPBAj+VOveACnEIRUZpq39wMbNggobiYRUHl5LA6DwBjxsgoL8/6ErZAa91lGdi4UcLJJ7PVKhUVMnbtkhAOs59PPTX7e7YDerTxbIU6a+eHDJFRUyOhvp5FRE2aJFP0K/S1nQD19pOQjiie22Dbtm0YPnx4x/GtW7dCkqSOYyNGjEBNTQ1qa2sT8hxs3boVw4YN6zbRp9/vh9/vTzru9Xp1+UI0OXc0CmzciODuajRUl8MzYhJOHevGwIHsTxs2AM0NUdQ8/xaOy6kGysuBSZMcHwOqle7ygWocOFIO97GTUD7QjdPbp/d8PhbuvP3zKPq7N8J1iLTnaKV99cfVKGgrhzR2EiZNcsPnA/r2Bf77X2DfN1GcsH8jCppId45WurfurEbboXJ4Rk7C+PFulJUBQ4cCb74JtLVEcWTVW6hwk+4crXSP7a/GoUPl8Bw/CYOHuHHSSezPH34IVFcDX2yNYqK8kf1C2gPQp+/WyxbQE73tJzNsJy3Pf+AAUFfH+u2JE4HCQqCiAti4kR0/cgQ0MFegle5tE6Yi3LcCOUf2Q0Kys0+WJEgVFfBMner4toyjlfbbt7MUBv36AePHA5LEnLBffQV88QVLL0GSx9FK9127gNZW5vyYPJlp3r8/8M47wMGDQFMTLbVXopXuzc3Anj2AxwOcfjprz088kY2RW1vZcr1OKRQdjV59t9pzCrmg5bjjjsPw4cPxt7/9LeH4s88+izPOOAN9+/YFAMyYMQMulwvPP/98R5nm5ma8/PLLuPDCCw29Z91RbHnr/95VmHDnVMxYOBgDP2C7jLjdwGnfrMa0BYNx3LW0La5mKHSX5l+FkxdPxbTvD8bJX8U1HTECGPjBaky4cjBc55H2mqHQvvz/XYWz7pqKqdcOhu9fTNOyMmDUF6zOF8wm3TVDoXveAqb7+QsHo+wtpqnPB4zdzXSv+A7prhkK3V3fvgpj/99UTP/+YIzcHtd09GhgwHurcdqlg2n7cyIlZD91jSyzgTcAnHACc0IB7P8hQ9jP27alzqdNZMeub9z4bMGDAJjTSYkMCZCBwH0ryCOiMUePMueqywWcfDJzQgHAsGHMQdLWxiZSCW2JRtnKFYCNEXhOzd69gYED2c/t+0YQGrNjB2vD+/WLTyp4vcCoUeznXbsARZpDwmR0j4hqbW3FmjVrAADffPMNGhsbsWrVKgDAOeecg9LSUlx33XV48sknEYnE123ec889mDdvHoYMGYLp06fjpZdewrp16/Dvf/+7o8wxxxyDG264AT/+8Y/h8XgwaNAgLF++HABwyy236P1oxsG3vO1kHfkOt295265n0bVzO/I7dLBfUaay0qg7tgdd6J5zdD+kq+YCPqap55+rccovk8uR9lnQhfbug4l1/rjbSXdN6UJ3b6e2pvdC0l1TutDdf3Q/pHlzATfTNGfNaoy9j7R3CmQ/aUtNDZst93iA449P/NuQIcDXXwMtLWyDANqARDvCYRaFEDmrEg1PrELx3T9kbVY7oX4V+OR7K5BzciVOMvE+7cjOnez/gQMTEzW7XMwZu2ULq/fHHx93UhHZs38/S1Kemxt3PHGGDWMbTR09CjQ2snQThDYEAizqFWA6K+nfHyguZkn79+xh9Z8wH90dUTU1NbjssssSjvHf169fjylTpiAajSLaacvWyy67DK2trfjVr36F5cuXY+jQofjb3/6GGTNmJJR74IEHUFBQgJ/+9KdoaGjA+PHj8dprr6G/XbaD6GbLW0mWWc+xeDE7IMtI6kd4mVtuAebModkmtajR/ZZbgIsu6ihH2mtEGnVe6moraNI9fUh3c6C2hugCsp+0hUd+DBrEnFFKPB42YNy1i5UjR5R2HDjAdiksKAB6XVQJzJ0G9Grf8GXNGjSNnYGD77vh3suiRzp/N0RmBALAoUPs586OV4Atydu2LV7Opq+9KfC2JpWDLyeHReocOMCcgKecYvjt2ZY9e5g51KdPvIlRcvzxwMcfs+9n6FByvoqA7kvzBg8eDFmWU/6bMmUKAGDlypXJkTwAvvvd7+KLL75AMBjE559/nmSQAYDP58OyZctw8OBBBAIBvPHGGzjFTm/1xo3xvbtTIcvs7yq2xcXGjdrfn11Ro/vevcAjjwD79iUPDDuXI+3VQ3XeHEh3c6C2hugCsp+0IxRikU4AcOyxqcsMHsz+r6lh5Qlt4M3bsce2D/yUjvLJk9G3nxsFBcwnf/CgKbdoS3hkSJ8+zAnYGbeb5UcDEgLUiCxpbmYbG0lSXN/O8LamupptxkNoA6/Hgwal/nt5OUsv0dbGItII8xEyRxShoLpazHPZHbVa8bhnrc5HUJ03C9LdHKitIQjdOXCA+Wp79Uo9KAfYzla9erFy9BppQyAA1Nayn485putyAwaw/7nzhMge7gDsTnf+t0OHWNQakT3cGVJWhi53MO/dm0VGhcNxBzmRHfX1bGm1283yQ6XC5YpH/pHzVQzIESU6Wm7fQlvBqEetVjzDqVbnI6jOmwXpbg7U1hCE7nAHR1cRChxyiGiLMiqHJ2xOBdf98GE2OCeyo6WF5R+SpO67hOJi5oCNRuPL+Ijs4A6O7hyAkhSv8+QQ0Qbe1vTv3/3yXv69UDSaGJAjSnQmTWKWU1cLWXnsZ09lBg5k5yLUoUb3gQOBH/yAtNeadu0776zTAdV5faC2xhyorSEIXQmH41E5PeXB4YPDo0fJIaIFNTXs/550Lyxk/2IxihDRAu5U6tu366gcDndU8e+KyJyWFvZPkrqOyuEodaedOrOH1/me2po+fdg7EQ6zKCrCXMgRJTpuN/Dgg5DRvsWtEj4gefBB9k95rJ2OwfyKFZTANh3adQe60X3FCtaadaE9SPvMUKM91XntobbGHKitIQhdOXqUDfQKChJ3DktFXh6LEJFlyiGSLZFI3AHY06AciCeIJ4dI9nANS0t7LqvUnRwi2cGdqL1795x0v6QE8HrJIaIFgQDLzSVJPdd5ZRlqa8yHHFFWoLIStY+tQlufAYnHKyri23VXVrKfBySWCfatoC29M6WyEpHnetC9vVwq7WPHkPYZU1mJL36ZWZ2P9CfdM6ayEoceykz3UCnpnjGVlQg8lXlbI1NbQxBdwgcbanfCI4eINhw9yiKcuHOvJ/jgkCKisiMajTtR1dT5khLmNAmF2HI+InPSaWskiUWsAVTns4Xrzp17PUFtvDiQI8oi7Dm9Eusf3ho/sGYN2/dTOfCorAS2xsv8d8kaVP3f12idSYOTTKmZqEJ3IEn7936+Bt+sT1GOUEUkAnx1cvp1/r2fr8FHfyfds2H32Mx0r/q/rxG5mHTPlOoJmbc11e9QnSeIrkgnOkRZjgYp2ZGuA7BPHxbQ2dZGDpFs4A7A3Fy23LEnXK64Q4TqfObEYsCRI+xncnobS7ptDW/jGxqAYFCfeyLUQY4oi3DkCABX4pa3KZdgKI7FzmZleMNIpI9q3YGE47WjJuNIHS2RyZTaWhYinpufXp2vHTUZtQ1uSkCYIbFY+0xqmm1N4PTJkF3ujmUYRPqo1h1IqvNH66mtIYhUtLSwZRsuF3N0qKFvX1Y+EABaW/W9PzvDbU+1DkDld0R2a+akqzsQd0TRctTMqa9n0Wh+P1BUpO4z/Duqr6ddCzNFuYxabZ1XfkdU582FHFEWIBBgM0Rd5ajtipIS9n9dnfb35BSy0Y4G5ZnDtVM7cOB4vcwQoNnUzGhoYM6onpKbdoZ/T1TnMycb7Uh3gkgNfzeKi9WnT3O7gV69Ej9PpEcoxHK2ACxfjlp4WdI9c7jdmo7uvA+vq6M8UZnC62w6uufmArm+KHp/8gZan3gWeOMNZsQS6ohGEXj1DZT+51mUfv4GivLVa0d2qxiQI8oC8JdErYedwx1R5O3NjHA4c4eGy5VoiBHpwes8r8NqoTqfHdnqTh16ZrS0sPbClWGP3NhIO3wRRCoybdPIIZIdXLeCgvQmNkj37IjF4omv03GIFBayibxIhE1IEemTiSMKq1dj8tWDcdZdU1F0w1XA1KnA4MHA6tV63KK9WL0aGDwYeRdOxWm/vQpn3jEVruMHq9aO2hoxIEeUBcjWkGppoTWwmcBnlXraZScVNJuaObFYXHsaPBhLto6oujrQssgM4I5T3m6kA2+fKPKVIJLJaHAI6kuyJZOoHIBFrrlczGalZZHpU1/P+mC/X12CeI4k0YRSNshyBm3N6tXA3Lnw1uxLPL5/PzB3LjmjuqNdO+zLXDv+PTU20rJIMyFHlAXI1JDyeuOJCmmQkj6Z6q78DHXo6aNcHlZQkN5nlRFRFF6ePsplLOnAZ71jMZpNzQRqawhCezJdHqYs39TEzkOkR6ZtGi2LzI5s+hK+VIkiytOnuZlFJbvdKlevRKPA4sWALCMp6wo3Xm+5hZbppUKhXRJpaJeTwybyZJnGyGZCjijBUS4PSzdKAaBBSjZkGh2i/Azpnj7ZGFK9erHZ1HCYZlPTRbk8LF1HFEBtTTZQW0MQ2sMHF+kuDwMSJ0JokJIemS4P4/DPkEMkfbSY1ODfHaEe5SSeqiX2GzcmR/MokWVg715WjkhEQ+3IbjUfckQJDu8Q8vJYqG268EEKdSzpIctxzTIZlPPPtLRQ7pZ04bpnMih3ueKzqVTn04MPtlQbUp3gdZ4iotIjHGbtBJBZnef1vaGBogAJQkmmy8M4ZD9lRmNjPKo5neVhHK479SXpk2laA4D1JZLENkdqa9P2vuxO2m1NdbW25ZyEhtqR3Wo+5IgSHP5yZOIMAWiQkiktLSyq0+1Of3kYwAyw3Fz2MzVw6ZGNAxAgR1SmZNvW8M+R7unBdc/LY8up06WwkLVTkUjcoUUQRPzdyiT3mvJz1Ienh1Z9eFMT5RxMh0CARTVLUmZ1XmnvUp1Pj7Ttp/Jybcs5CQ21o/GC+ZAjSnCyNaRokJIZSt2lpAXc6iBPe/ool9RlWudJ98zgHXG2gzaKAkyPbNt4SYrnpKA6TxBxtGrTaJCSHtm2adwpH4tlvnOxE+G6FxZmvgMrTSilTyzGnKZAGnV+0iSgoqLrAYYkAQMHsnJEIhpqx8d4wSBFAZoFOaIEhwYp5pCtAav8LOmunmyjQ4BERxRFAapDluMGf6Z13ueL7+BGdV492UaiKT9LgweCYLS1xaNDVCUPTgENUjIjW7sVoAmlTNBCd7Jb06exkdlQypUQPeJ2Aw8+yH7u5FCR+e8rVrByRCIK7ZJSvaepnTIKkOwncyBHlMAoc4do0aHTS6YeLQ0p0l09WuheUEBRgOnS0sL0ynQpKoeM2PQhpzdBaA9/r3hUeCbQICV9lNEh5Fw3FrJbzSFj3SsrgVWrgAEDEg7LAyrY8cpKbW7QjlRWIvTXVWjrk6gdKtLXjpze5kKOKIHhEQq5uenv+KKEBinpIcvazizRUiX1aKG7Mj8CGVPq4LoXFWW+FBUgIzZdlM5SraIHKAqQILTpSwAapKQLz+vk9aYRHZICslvTR4s6z22AYJDlnCJ6JivdKyuBrVs7fn3v52uwd8PX5IRSQd3USqx/OK4d1qwBvk5fOxovmAs5ogRGD0OKBik909rKBoguF5tNzRRKWJ4+WtV5/nnKL6EOrXWn+q4OrlO2kw0UBUgQiVCbZg5aLDUGKGF5uih3usumzrvdcbuX7Cd1ZN3WKEI2a0dNRn0TLcdTQ0MDAJdCq8mTMwp/pckGcyFHlMBku/MIJz+fOVUiEZrhUIMWico5SmOK6J5IBGhuZj9nO3jgOUHIkFKHVoM2rjvfdZLoHq10lyQaPBCEEprUMActlhoDiQnLuV1AdA2vn3xSIhuoL1GPMqF+tnWeQ+MFdWjlOOJ2azDI8goSxkKOKIHhjVumiTY5Llc8zwF1LD2jle4AdejpwDvfnBzA78/uXFx36tDVodWgze+Pf3ekfc9oacDy9op0J5xOKBSPDsm2H+d9SSBAS+zVwNsfLe0natN6Rqs+HKC+JB2am5kzyuNhk/5a0NREq1fUoNW4yu2Ob7RDYzXjIUeUoMRi8SUW1KEbC9com2V5HOrQ1aOl7vwcfOckomuCQTbAkqTsEpVzqK1Rjx51ngwpwunw9yovjw0Qs8HrZZMjyvMSXUMTeeZAfYk5aKk7QKtX1BKJsDQqWkFjNfMwxBG1Y8cOzJw5E/n5+SgrK8PixYsR6OEt2717NyRJSvnP3ylcIlWZ/v376/lIutPSEveyZ5PwkUMvmXr06NBphqNntNTd46EZDrVwffLytNkpmJZFqkOW9WtrCHtAtlNmaD04JPtJHW1tbIAoSdpEh5Du6tFjApVH+xBdo3Vbw98bsp+6hy/XzXb1BIecr+aR5VxRz9TX1+Pcc8/FoEGD8MILL6Cmpga33norjh49iqeffrrLz5WXl+Pdd99NOCbLMi644AJMnTo1qfyiRYtw1VVXdfzuyybzqwDoZUjRS9Y90Wg8Ek0L7Tvn5+LOESIZPep8ays7b9++2pzTjmitOzlE1BEIsPbG5dJ20Mbzc2nhVCTMg2ynzNGjTaupoTatJ7g+3O7JFhocqkOW4wNzLep8bi6LBAyH2Xm1iG6zK3q0NfW17Lw2mBPQDa67FlH8ADm9zUR3R9Rjjz2Guro6bN68GX3bR4Mejwfz58/HXXfdhREjRqT8nN/vx5lnnplw7I033kBDQ0OC0cQ59thjk8pbGb0Gh3yGQwsjwY7wztzn08bTzvNzNTay75QcUV2jR50/eJCM2J7Qq60h3btHaUhluykCwNorn48tRW1qyn6TC8JcyHbKHJrIMwctl+UpzxMIsMm8bJdZ2pXWVmbXK3PdZEthIVDb7hAhR1TX6GI/1ZJDpCe0dkR1Xr2ihU1GqEN3d8SaNWswbdq0DkMKAC699FL4/X6sWbMmrXP99a9/RVFREWbPnq31bQqH1o1bbi7rxGWZtvfuDq11V56LjNiuCYfjyWVpOYWxaDmTqjwP7UDSPXq0NVTn7QPZTplDUZ7moLXulJ9LHcod87QaQJPztWdisXieIprIMxauj5ZLIik/lzno7ojatm1b0syd3+/HkCFDsG3bNtXnCYfDeOGFF3DJJZcgh/dMCpYtWwav14vi4mLMmzcPe/bsyfrezUTPQQo1cF2jdeMG0OBQDVwb7jDVAmV9p/xcXaN1W6PMz0V1vmvI6U10B9lOmaF0gGs1W84H+Mrd+IhkqE0zB9LdHJqbmW2pdJhmS+fVK0RqtI6IUu4uT3arsege6FpXV4fiFGsESkpKUFtbq/o8r776Kmpra1OGll999dW46KKL0K9fP3z22Wf4xS9+gYkTJ2LLli0oKSlJeb5gMIhgMNjxe2N7axsOhxHWeI9efj61543FgIYGCbIM5OTI8S2Dw2F4ledMdb5uyuTkAJGIhNpaGWVlmT2LlUhXdwCoq5MQiQC5uWnq3k25uO5AOOwMj0i62tfWMo1ycztplEWd9/mAWIx9n01NsiZJ/0UnXd3b2oBAQIIkAX6/dm1NXp6Exkbg6FHZEWH92bQ1abfx3ZTLzWXvUV0dtTVantsMyHZCx3mV//cE70vy84FYTNZsMOf3S2huBmprZZSWanNOkUlXd1lmbVo02qlNS31yde0c4m1aba2MAQNU3rzFSVf7ujpuP/Wgexpwu7W+nvqSruBtTVFRlhop3gePJwwggnAYqK+XNXUuikq6urPcZSz0LycnrDjefVvSE7m5QG2thKNHZfTunfFpLIOetlM65zVkxbWUIlZUluWUx7vimWeeQb9+/XDeeecl/e3JJ5/s+Hny5MmYOHEixo4diz/+8Y+4/fbbU57vvvvuw9KlS5OOr1u3Dnk6JfKpqqpSVa611YPPPusDj0eGy1XTcdzd1oaL2n9eu3Ytoilc8N2VOXgwD3v2FGLXriB27arP8Cmsh1rdAWDLllIEgy60tNTi88/ZS6RG9+7KBYNubNnSFy4X0Nx8yFFrj9Vqv3t3IWpq8lBe3oojR+LTEdnW+U8/7YtAwI2mpjr06uWcdWJqdW9o8OGLL0qQmxuFJB3pOJ6t7nv3FqC6Oh9797Zi0CDnTC+p1V2WgY8+6odYDAiFjiAnJwog+7amqcmLbdt6w++P4ejRw9k8iuVIp51XS6uW+0NnANlOcdR+v4cO5eGbbwpRUhJEIFCv2fW//LIYdXV+HD7chH79zK0XRqJWd6WdI0nd2zlq2zkAOHw4F19/XYQvvwxhz566NO7c+qjV/tNP+yAQ8KCxsQ5ffKGNnRMOu7BpE/O4trQcctTmF2p153ZOWVkA9fWZh451fh8+2zUAzc1e1NfXo3fvYLeftRNqded2js8Xgze0V3Vb0hMHDuRj374C7N7dhi+/bMj4PFZDD9sJUG8/6e6IKikpQV1dcudRX1/fZbLNzjQ3N+Nf//oXFixYALeK1vDkk0/GsGHD8NFHH3VZ5o477sCtt97a8XtjYyMGDhyIGTNmoEjjKfxwOIyqqipMnz4dXq+3x/L79wM5ORJ69wbOOkvhZVckdzr//PNTb7XUTZmaGuD99yUUFgLnnGP/GY50dY9EWAQNAJx/voyOj6jRvZtyssxmU2MxYOpU2REJy9PV/t13JRw9CpxyioyBAxV/yLLOl5VJOHgQGDVKxnHHZfQoliJd3XftAgoLJZSXA6edpl1bs3cvsGWLhNJSYPx4ams609ICyLIElwu44AI5PmjLsq0JhYD8/Hgb5oTBQ7rap0OjietSyHZipPv9fvIJUFoqYehQGcOHa3cf27YBO3dKGDRIxkknaXdeUUlX90OHAK+XRYdMntxDm6+2nQOLOnnnHRYtfd559u9LgPS0ZxF/zL487zxtI79zciSEw+z7dEpkczp1/oMPJBw6pIF92el9KNuRj/37JQwbJuOEE7I4r0VIV/c9e5idU1oKjB89suN4T21JT1RXAx99JKGkBDj7bPu3NXraToB6+0l3R9SIESOS8hkEg0Hs3LkT1157rapzvPjii2htbU0ZWt4Vcg9JYfx+P/wptkXzer26fCHpnLutjeVZKS4GEoorfvF6vZ3+2HOZkhJ23mCQ/e+UyBy1ure0MF38/k47j6jRvYdyvXqxdcfBIPvZKaRb53v31rbOFxcDR44w3XV6rYUkXd1LSrTX3eNh5yfdk+G69+rFlpAqTpBwrnTbGq8X7ctbmVPKCYMHjh59t162gBrIdsrs/F32JVmitJ+oTUuG25VJfUnqkyacv7sPcN3DYZbHxQnOdY4a7ZubmS4+n/btfXExW/ZHdT41mrU1nd6HkhIvDh0i3bsi0W5V35b0BNmt2p9XDbonK581axZee+01HD16tOPYiy++iGAwiFmzZqk6x1//+lcMGTIE48ePV1V+8+bN2LFjB8aNG5fRPZsNd45rvTY4N5d1WMqdHog4XHetkt8p4efkO5QRccJh1uEC2mtPuncP10Uv3QMBIBrV9tx2gNoaoifIdsoMvd4teq+6h+uSRUBCSny++KCQdnxORi/dgXidJ92TUY6jqK0xFr3sVv4OKcckhP7o7ohauHAhiouLMWfOHKxduxZPPfUUFi1ahPnz5yeEl1933XXwpNgu6/Dhw/jPf/6DK6+8MuX5ly9fjh/84Af429/+hvXr1+MPf/gDZs6ciYEDB2LBggW6PZee6NWxSBJ1LN1hRIdOHUsyvC76/drtmMch3btHr0GbzxeP9CHtk6G2hugJsp3SRzmA0Prd4u9VWxtbxk8koqdzXbmTGJGIEZMatItYMq2tLO2Gx6Pdjnkc6sO7h9d5rdt4tzu+Goa0Nw7dl+YVFxfj9ddfx6JFi1BZWYm8vDxceeWVuP/++xPKRaNRRFNMnT///POIRCJdhpYPGzYML7zwAp577jk0NTWhtLQUF154IX75y1+m3HHGCuj1kvFzNjayl8wJO+elA0UpmIMRuvPBg9aOLiuj56ANYNrX1rI676TlqGqgtoboCbKd0kfPSQ2vlznXQyF2HWrTEtHTuZ6fH+9LiERoUsMc9K7vksRs1mCQtWcEIykSTeOI+4ICdv7mZqBPH23PTaTGkGHZiSeeiLVr13ZbZuXKlVi5cmXS8Ztuugk33XRTl5+bPXs2Zs+ene0tCkNbG1vKIknQJak1dSxdo3fHAlAkWir01N3rZZ14MEiDh87oOWgDEh1RRCJ6TjZQG28fyHZKDz0dvPy85FxPhg+YAWrTjMaISQ2yW5PRU3eXi43/WlpYnSdHVJxAgEWiud3tkWga182CAraxF7U1xqH70jwiPXjlz8tjjZHWUIfeNUZG5hBxjBg8AFTnO6OnMwQgI7YrIhHWDgCU14MgtETPSQ2A+pKuUE5q6JHkl3TvGj3rfF5ePDKH91kEQ++2hp+X6nwiRrXxZD8ZBzmiBMOowSE1bolwB5FekWg8Mgcg7TtDgwdz0CvhI4d/n5RfIhG9B200eCCcCk1qmAP14eagdyQaj8wBSPvO0FjNHPRu48kBaDzkiBIMowypYJDliCEYXHe9ItEA6li6ggYP5qC3IcUTzLa0sFBqgqH3oI0GD4RTIYeIOejdh3PnejRKznUlek9qAJQovivIbjUHo9r41laWj4rQH3JECYbeL5lyhwdq4OLoPShXnpt0jxMM6huJBlCH3hV6G1K5uTR4SIXeuivPTXWecBJGDQ7JuZ4IOdfNQW/dleempUpx9F5eD1Af3hV6t/E5OWycLMtU542CHFGCYaRDhO88QOi/TEl5bmrc4nDdc3P1i0TjBizV90SMHDxQnY9DgweC0B4jJjWUznW+JIow1rlObVocI8cLpHscroXPp18kGtc9EKDIHCVkP9kPckQJhCx32pZSJ+glS4YcgOZghO58UKLMp+B0+KANoDpvNEYM2qiNJ5wGr+t6Tmq4XOz8yusRNDg0CyMmUGkyKRkj+vCcHLYznCwzZxSRGIlmhP1EdqsxkCNKIPiaVJcrvnxOD6hjScYIQ4p0T8YIQ4oGD8kYkRMNoMFDKsjpTRDaY0Qfrjw/tWkMoyY1yH5Kxui+hJajMozQHaA63xluz+gZiQZQG2805IgSCKWXXZL0uw4NUhIxOhItHKZE8RyjOnSq84kYNWgjQyoR5SYRRg3aaPBAOAEjohQA6ks6Y/SkBukex4g6zyMMYzHK9cgx2ulNdZ5hxMQ1QHar0ZAjSiBoRs8cjIpEc7vZ7iYAac+hjsUcjB60ke4MI5YP8fNLEmvXaDkq4QTIuW4OpLs5KCc19MqJBrB+hCLKEzHKfqI6nwhNXNsTckQJBK/0RnXoypBqJ6PUXc9INH4NgDoWIDESTU9DCiDdO6OcxdYT6tATMaqNp+WohNMw6t2iNi0RI+1WShQfh+vOcwnpCdX5RIx2iFAfzjB6SSQtRzUGckQJhFGDcq83vr6WOhbjdAeoQ1cSDLKIDeWMm16Q7okY7fSORIBQSN9rWQGjHIAAGbGEs6C8LeZglP2kjFgn7Y3rw5XXIN0TbRmayDMWo9qanBzW3lCieGPwmH0DRDvRKHzvbMSAfdXoFS0HKibpOs2RnxOF++ONiO2rBkaUA5P0vZ6wRKPAGxsx4NNq9B5VDpymrw55/ij6fLoR3s+qgQnO1j20biMGbKgGysvhumASAH3re59PNyK/sRqIOFh3AIhGkfPeRuTXVKPQXQ6cr58WLheQ440i/+ONCB2qhm+og7WPRuHasBEDvqhG3zHlwGj92/jYpxvh3lENnOZg3QnbEwqxrhwwblKD53rUM2muFTB6Ii8QYNfs3Vv/64mMkbqT8zWOMmG2R+cRdOdcj3qv2BAdo+q8JLFrNDcz7Y14x5wMOaJEYPVqYPFinLpvH/v9twAqKoAHHwQqK3W53vgbF8NXsy9+TM/riUq77oP27cMgfuxufXU//ubFOLGadMfixSjatw+n8WMr9NW9cPFinMXfr/vhTN0BYPVqyD9cjDP2G9fWTL5hMfyHqc5j8WKcsE+hw0/01X3ETYvhOehw3QlHwAfIfCZbT3iux2CQXbe4WN/riY5RkWgAOUSUUHStORjpAOyc61HPHLaiE4vFo5OMqvPNzRSNZgS0NM9sVq8G5s6FrBygAMD+/cDcuezvOlzPW2PQ9USlXQcYrLu7mnQ3Q3fJqOuJDNd+v7Ha+w47XHuz2pqDDtedcAxGLlNSXsfpgxTlMiW9I9EAcogooZQS5mCk7i4XOV853Aml3PRJT6itMQ5yRJlJNAosXgzIMpIiLnmGtFtuicecW+16oqLQIQnSXT9M1N2Q64kMtTXmQG0NQeiOkYNDgAYpHOUyJSOWKJJDJI4ZS/Mo16OxEYBAYuJsJ2N0G08OQOMgR5SZbNyYPEuuRJaBvXtZOSteT1RId3Mg3c2DtDcH0p0gdIcGKeZAupuDcpmSEQ4R2oU1Djm9zcFoByA5vY2DHFFmUl2tbTnRricqpLs5kO7mQdqbA+lOELpj1uDQ6YMUs3QPhVh0jlMxepkSQE5ADjlfzYEcgPaFHFFmUl6ubTnRricqpLs5kO7mQdqbA+lOELpjZOJm5XWcPkgxenDo8bBlgICztTdad4AG5gALKCantzkYrTtPFB+NskTxhH6QI8pMJk1iOxl1tSenJAEDB7JyVryeqJDu5kC6mwdpbw6kO0HoSiwGtLWxn40eHLa1ses7FaOXyyiv5eSBuRmOKH4tHo3lRIJB9r5LkjHJ+QFyenOMrvMuV3yXQqdrrzfkiDITt5ttpw0gKbUsH0isWMHKaXy9pIGKHtcTFdLdHJS6G6FDN7rLTtId6NBCBtV5Q6G2hiB0JRBgkQrKgYPe+HwsOodf36mY6RAhRxTpbjT82Xm0jBFw3cNhZy9HJeerfSFHlNlUViL2/Cq09RmQeLyiAli1Cqis1Px6WLUKGGDQ9USlXYdQKeluKO06RMvM1V0+xmG6A0BlJULPUFtjOLyt6Uu6E4TW8AGKkVE5QDwiwqkDczOWKSmv5eTBodFLUYF4fXey7mbUd+VyVKdqHw6zfwA5X+0IOaIEIHBBJdY/vDV+YM0a4Ouv9RswVFYCW+PX++r3Ol9PVCor8e7j5un+wT3O1X3HP8zT/b2fr0HdRw7UHUDzDHPbmm8edW6df/N/zdN9868cqjthe8wYHCqv59RBinKZklGRaAA5AAHzHYCybNx1RcKstsbpdZ4/t99vbDC303U3CkMcUTt27MDMmTORn5+PsrIyLF68GAEVrt0pU6ZAkqSkf9u3b08oFw6Hcccdd6C8vBx5eXmYOnUqPvnkE70eR3NaWgC4FG/X5Mn6v22K89cMN+B6AiLLQFvYPN0PD5+MUNR5ugNAIGSe7rWjJqM16EzdW1thaltzdKQz25pQCIjI5ul+8MTJkF3O093qkO3UM2Y7opwapaBcpuQycErb6Q5AwJwoQL+ffc+yHM/J5jTMiERTXs+pdd6MXHQAtfFG4dH7AvX19Tj33HMxaNAgvPDCC6ipqcGtt96Ko0eP4umnn+7x82effTaWL1+ecGzw4MEJv//oRz/CX/7yF/z2t7/F4MGD8etf/xrnnXcePv30U/Tv31/Lx9EFsxsXp75kIiQaDQTiYbdOguq8OZiddNHs790szNY9FmMRDEZGLhDZQbaTOkyLUvBF0efTjfB/Wg2cVc42AHCQk93s6BBH9uHRKCLrN6L0P9UI9i5H3vmTABhT53iC7pYW9t0blaxbJMxeBuzIOg/zJxucarcahe6OqMceewx1dXXYvHkz+vbtyy7q8WD+/Pm46667MGLEiG4/X1xcjDPPPLPLv+/fvx+PPvoofv/73+P73/8+AODMM8/EcccdhxUrVmDZsmXaPYxOmF3JeYi1kbNaImC27vweevUy+y6Mx+wOVYTv3gzMfm6nzqSarTu/B3JEWQeyndRhyiBl9WoMvnkxhlTvix+rqGAbBThk+avZjqhIhEWaOmYib/VqYPFiePbtw2n82P8aW+fy8uKOqD59DLmkUJBDxBzMbmv4clSjEtQ7Dd1dD2vWrMG0adM6DCkAuPTSS+H3+7FmzZqsz79u3TpEo1FcccUVHccKCwsxe/ZsvPLKK1mf3whEaFzMdgyYgQi6i3APRhMKmb/7hxN1B8x/bhG+ezMwW3fAmW28lSHbSR2GL5dZvRqYOxcupRMKAPbvB+bOZX93AGYtU3K72TIxwEFtWnudwz5z65yTI3NisfhEGjmijMVMR5QkxSPKCX3Q3RG1bdu2pJk7v9+PIUOGYNu2bT1+/s0330R+fj5ycnJwzjnnYMOGDUnn79evH3r37p1wfOTIkfjiiy8QM3vtlQpEaFxEuAejEeGZndihi/DMItyDGVCdNwcRdBfhHgj1kO3UM5GIwbspRaPA4sWALCNpcpxncL7lFlbO5vB23OjBofKajmjTFHUuCYPrnKN07wR/ZuUudkbhZAcgYJ4jSrkRg1O1NwLdl+bV1dWhuLg46XhJSQlqa2u7/ew555yDq6++GieccAIOHDiA5cuXY9q0aXjzzTcxYcKEHs8fDofR3NyMoqKipL8Hg0EEFS7OxsZGACx5Z5hbNhrBz9fVeZuaJEQVYQJh5V6ViSeCV4syncpFIhE0NoaRQkZL05PujY3s2RPKa6SpmnMx3SMIh+23BUl32jc0qNSd/VGbOt9J91BTBKGQbLtQ2+50j8WAlhYJbpPbmoaGsO2WiKlp481va8Jdns7K9KS9Fuc2A7Kd0HFe5f9KmpqASESC1wvIsqx7/ZbefBOezlEpSmQZ2LsXkfXrIZ9zjr43ozPq2jTA48lAd7XtXBd4vex7b2yUoQgYtA1K7aV33hGmzsV1h+PsVjZekJCbq8Oz9/A+cN0jESAQkOHRfeRuLGramlisi7Ymy7akJ3w+CU1NQEODjIICTU9tOnraTumc15DqLKUY7cmynPK4kqVLlyb8ftFFF2HUqFH4xS9+kRCa3tX5u/obANx3331J5wdYuHqeTm7XqqqqpGPRKPDRR/3gDQVwcfuxtWvXIppipOZua8NFGpTpXO7jjz/G3toYKiqa03sgi5BKdwDYvr0EgSNRTXRXW66z7t5dXhw+fFT9w1iMVNofPJiH6q88PeoOaFfnlWU2b/4YQU8uQqEj8PvtOXOdSve2Njc++aQv/JFWU9uag00R9OtnzynVrtqaTz/ti0hDyNS2ZvteN/btq1P/MBajK+2zodXkqX+yneKk+n7r6/3YsaMYeXkRRKP696PHbNiA01WU2/zqq9hv9g4FGpFKd1kGPvywH2QZiEQOw+dLL3pObTvXFXv3FqC6Oh9797Zi0KCmtD5rJaqqqoSqc01NXmzb1ht+fwx1dYd1vZaZpKrzhw/n4uuvi1BcHEJLi7b9qJr3YfPmMkQiEoLBo8jNtWd+g1S6h8MubNpU2v7boaRcxtm2JT2xa1cvHDmSg4MHmzFggD3a9M7oYTsB6u0n3R1RJSUlqKtLfmnr6+t7TLbZmfz8fFx44YVYtWqVqvN7vV7kd7G9wR133IFbb7214/fGxkYMHDgQM2bMSDkLmA3hcBhVVVWYPn06vF5vwt+am5nBlxONV/Dzzz8/9bYMLRqV6VRu7Nix6D8kD2PGqHwgi9Cd7gCQmyuh7ag+mqo519ixYyEV5GPmTHvOLHWl/eefA3uK4g2UlpqqKXP22WPRGM3HhAmy7RJudqf7kSNsdqfIbW5bM2hkHkaOVPlAFqGntkaSJN00VdvW5PTJx9SpzmprsoVH+5gB2U6M7r7f3buBoiIJ/fsDp5+uf92W8vOBBx7osdypF1yAU2wQEdWV7m1tgCxLkCRg1qwMIovVtnNd8M03wKefSujXDxg3zt5tmk+gOtfWBuTns+/9ggvsGVHeVZ3fvh3o00fCscfKOPlkjS+s4n0oLJTQ0MDqe79+Gl/fZLrTvb4ecLsl5OQA06aleNezbEt64osvgC+/1Ol7Nxk9bSdAvf2kuyNqxIgRSfkMgsEgdu7ciWuvvTbt88md1kmPGDECNTU1qK2tTch1sHXrVgwbNgyuLraC8/v98POMhwq8Xq8uX0hX5w6H2ZrjglxPQjmkugfFsazKdCrn8XgQDnu7LGp1Uukuy1x7jXRXW66T7tH2V9BJ2rNwfhW6sz/2XC7NMoWFHrQ2exAOO1F3oLCA2hq9SKV7KMRyDbhNbmvCYQ88Hvvu/KJH362XLaAGsp16Pn9Hm1ZoUFs+dSrbHW///tQ5eyQJqKiAZ+pUllXbBqTSvamJ6Z6Xl2G+HLXtXBcUFbHr27kPB5g2HoHqHM+PFIuxd8+M/GBG0F1b06uXDnVOxftQWMh8LpGIfet8Rm18lm1JT/TqZf+2Rq++W+05dU9WPmvWLLz22ms4ejQeNv3iiy8iGAxi1qxZaZ2rpaUFr7zyCsaNG9dxbMaMGXC5XHj++ec7jjU3N+Pll1/GhRdemP0D6AxPgMaT0ZmF05IPBoOsMzVzUMZteadpb/bz8nfN7PswGv68Zrc1Tkv6yJ83xdjdMGjnF+tBtlPPGG4/ud3Agw+ynzsbD/z3FSts44TqCrPtVkclzVbUOdnkOidJzk2cTXXeHMxKVM5x6njBSHR3RC1cuBDFxcWYM2cO1q5di6eeegqLFi3C/PnzE8LLr7vuuoQoiY0bN2LOnDlYuXIl1q9fj2eeeQaTJk3CwYMHcffdd3eUO+aYY3DDDTfgxz/+MR5//HFUVVXh0ksvBQDccsstej9e1vDGzezkvW1tbKDiFEQYHDq1gTPbgCFDytz7cGp9N7ONd9x25zaAbKeeMaVNq6wEVq0CBgxIPF5RwY5XVhp4M+Zgdl/Cr6vcNdHWtNc5ub/5dc6pDhGz6zzpbs71ue6BQOqARCJ7dF+aV1xcjNdffx2LFi1CZWUl8vLycOWVV+L+++9PKBeNRhFVbD9aXl6OYDCIO+64A0ePHkV+fj7OOussPProozjjjDMSPvvAAw+goKAAP/3pT9HQ0IDx48fjtddeQ//+/fV+vKwx+yUD2ERKtP1eNF5eKywi6J6bC6DNWYPDaJQtVTJzvpg6dHPvIxSKh1s7AbNn9Pi1W1rZvZSUmHcfhHrIduoZ096tykpg2jS2bgPAR79cg9N+MsP2kVAcs/sSt5s514NBVgfavwZ7U1mJIydPQ9kJ7Q+7Zg0ww/g658QJVFk2v87TBKo518/JiUeUh0LmBi/YFUOGAieeeCLWrl3bbZmVK1di5cqVHb8PHToU//73v1Wd3+fzYdmyZVi2bFk2t2kKIiyXyc0FQhF2L+SIMo7cXAB1zurQue5mOiF4ZIqTdAfEiMzxeuNO78JC8+7DSETQPTcXQKvzjFirQ7ZT1yiXmprSjyscAIdOnIyY5NZ/iYEgiOBcz81l338g4BBHFIC2sMLpNHmyKY5PZYSIUwgGmTNKkszrx2kC1Zzru1zsOw8EmPbkiNIep/SbwmL2S6a8tpM6FtLdHEQYlPMOne38Y959GIkIM3rKazvJmCLdCUJ7ePvtcmWYMFtjnNiPm9mmOXFgLkIdc6Lu/Fl5dIwZ8HeNR5Q7BVGCNZT3QmgLOaJMRJaZMQXQS2Y01LiZgwgGrN/PBi/K98/uhELx5PymR+ZADIPaKESo805sawh7o3yvRNgJ0knvlghtmhMdIiL0m07uw82MAFRuCOcU7ZU54MxObQA4q60xEnJEmYhyRk+EpNlOadwAMSJznKi7CA5ApTPGKdpz3bkTziyozpuDE3Un7I0IzhAlTnm3wuF4RAa1acYiwrNy3Z0UUS5KW+O0Os+f0+s1N52H03Q3GnJEmYjSGWLmjJ4TXzIROhZ+baVhZ3dE0F15fafUeRFm9ADnOQB5cn5AjLbGKboT9keUvoTjlHeLP6fPZ25udie2aSI8q98fT97Mc7TZHVHaGqfVedF0d8oKCqMhR5SJiPKSOW1wqAz3NFN7j8d5obZU581BFN2dakgp33Uz4PU9GnXIdueE7REhYbYSpwxSRIjwVF7fKX2JKI4f5QoOp9R5sp/MgXR3BuSIMhFRDCmnhdqKEu4JOK+BE2FJJOC8nV9E6dDJAWgObnc8obNTtCfsjSjvFscp75Uo0bXK5M3RqLn3YgR85zYRcKrdKkqdd5ruZrfxTtPdaMgRZSKivGR8aWAsFl9GYmdEmdFT3oMTZpaUO7eZ3aFzh4gTdAfEaWuc6vQ2W3flPZAxRdgBkd4twDnvlSi6e73xpYFO6MdFSpTstL5ElDED6W4OTkyjYiTkiDIRUTp0SYqH2jqhgRPFGQLEHSIiGRl6wWf0lPXNLJy2i5go0Zc8v4Qsi7HMQG9EaeOV9+CENp6wPyK9W4Bz3iuRdHdSmybSMzpJd1GS8yuv7wTHKyDOWE2ZWsEp2hsJOaJMhDp0cxBRdyc0bsrZDbO323aS7oA4dd5pOxaKMqOnvAcn6E7YG+VyLBHeLSBxYwI7I0pforwHJ7RpIj2jE3U3Ozk/kGg7UUS5sTjJbjUackSZiCjeXsCZHYsIjRvpbg5Oyi8hSnJ+jhPrvAhtPBlShF1Q5hp0CWDFOil5s0htmhP7EhFwou4i2E68D3dCGhVZjrenImjvpDpvNAJ04c5EGe5pduJmwFkvmUgdC+luDspE9XbXXqTk/ADVebNwku6EvREp0hBwTmqDWIwGh2YhUhoBJ+kuUh/ucjlnQonnEVXu0mgmTqrzRkOOKJPgldnvNz/cE3DWSyZKvhzAWbqL1KEDztGedDcHZXJ+EbR32nJUwr6I9F4BzmnT+PMpd+E0E6cMygGxnpHX92CQOSftjEgRgIDz2hq+mZbZOEV3MyBHlEmINqPnlEGKaDN6Tgq1FckBCDinY6FBmzkok/OLFPXqlB0LCfsiWpvmFIeIaLo7xW4FxKpbPl98SazdtRd1rCZSfdADUdsau+tuBuSIMgl6ycyBd5oulxgzesqwU7trL1qdd9rggRyAxsINWFFm9Ph9xGLO2LGQsC+i9SVOadNId3MQMZelU7QXrc5zu9UpDkCyW+0POaJMQuTGzc6htkrdRRgcAs5p4ESr87yDc0qHLoruTqnvIkVeAqy9c4rTm7A31KaZg2h9OL8P5YYcdkSZykMUqM6bg9N0FyGaHHDOxLUZkCPKJERr3Px+Z4Ta8mcTpXEDnNGxRCJiJecHnNOxiFbnnbJjoWhtPOAc5ythb0Rz8jqlLxGtTVPmqrKz9qL14YAz7FbRUnkAztAdEFd3J6RRMRpyRJkEdSzmIJohBThLd1F2bgOcoTsgXp33euMbNNjZISJiG++UATNhX5RLS0Vp05ySf43aNHMQLToEcIb9xNsZUVJ5AM7QHRDPbnVSGhWjIUeUSYj2kgHOSPwooiHlhI6FdDcP0WaWAGdoL3Ibb2fdCXsjWp5HgA1QJIk5oeycf03EvsQJUZ5kP5mDUnfRUnnYPY0K1XnnQI4oE5BlMV8yfi88/4IdocGhOYisezRq31DbUChurFB+CWMRcdDmBN0JeyOi7aTcGdPO75aIkTmkuzk4oS8RUXcn7FiotMnJfrI/5IgygVAovq23iINDuzZugJhGrBMMKRF1d0KorTLJqUug1t4JHbqIRqwTdCfsjYiTGoD9361oNJ4QXCTt7a47QJMaZiGi7pJk/7Eafy63m6VyEAUn1HkzEGho4hxocGgeIhqx/F6CQfvmlxBRd8D+dV5EQwqwv+7KJTrkiCII7RBxUgOw/7vFn8vjESfPI2B/3QExd83j75+ddywUcTIJsP/ktehtvF0dgGYhkBvEOYj+ktm1cVMmORVJe+6QVC7ZtBui1nm7d+hkSJkDdyqLGvUaDNo7vwRhX8i5bg6i9uF21x0QU3uPJx6tQnarsdi9zos6cW13u9UsDHFE7dixAzNnzkR+fj7KysqwePFiBHr4JhsbG7FkyRKMHz8excXFKC0txcyZM/Hxxx8nlZUkKelf//799XqcrBH1JbN74ybiDhiAM/JLiDp4sHuiU1F1t/vMktIBKEqSU8AZ+SXsBNlOyYjqXLe7/SS63WrXHQvDYbYsEhBXe6rzxmJ33ckB6Cx0D7Ctr6/Hueeei0GDBuGFF15ATU0Nbr31Vhw9ehRPP/10l5/bs2cPHnvsMVx77bW45557EA6H8eCDD+Kss87CO++8g7FjxyaUX7RoEa666qqO330ieRo6IfrgMBxm4bYihV9rgaiDQ4Bp39pq3wZO1MGD3R2Aoupu9w5d1DYeYPfU0sK0545YQjzIdkqNqO+W3fsSUQeHfMfCWIzlXxUpAlULeH1STiKIQm4u0NhIdd5o7G4/ie4A5E5v0caRVkV3V8Njjz2Guro6bN68GX379mUX9Xgwf/583HXXXRgxYkTKzx133HHYuXMn8hSW8rRp03D88cfjD3/4A/785z8nlD/22GNx5pln6vcgGiLq4JCH2obD7EUrKDD7jrRF1E4FsLcRK2qSU8D+HbqogzZ+Pzy/hEgJKbVA1DYeSHREEeJCtlNqRH237B5dK+rgkG860tbG7tGujijRdAfsbT8pU2WIpr2ddQfE1Z07vXndEO3+rIru/vU1a9Zg2rRpHYYUAFx66aXw+/1Ys2ZNl5/Lz89PMKQAICcnByNGjMCBAwd0u18jIIeIOYjcodvZiBU1ySlg/w5d1EGb2x1fHmtH7UVua+xe5+0C2U7JKDcBEO3d4m2sXfOviTo4BOzdpllhvGBHu1XUPI+Aves7IK7dqtyx0K7am4Hujqht27Ylzdz5/X4MGTIE27ZtS+tcLS0t2LRpU8qZwGXLlsHr9aK4uBjz5s3Dnj17srpvPaEO3RxE1t3ODkCrGFJ2zC9hBe2pzhuLndt4O0G2UzLKwaFoKwh9PuZgB+z5bok6OATs3abRpIY58D6cR8GIBH8HlfnD7ASN1ZyF7vEJdXV1KC4uTjpeUlKC2tratM7105/+FK2trbj55psTjl999dW46KKL0K9fP3z22Wf4xS9+gYkTJ2LLli0oKSlJea5gMIggn1oDS/AJAOFwGGGN9yLl5+P/NzVJiMUAt1uOb3saDsOrLJ/qHrQq0005jweIRCQ0NsqW35I1le6RiE66Z3kurntTExAOW98jotS+sZE9G1v2KfMCumuqpozLBUSjEmQZaGmRhZv5Shel7uEwEAwyC8rjEa+t8XrZ+9jUJKN373SeUjw6tzXNzVJ7nj3x2hq3m72Pzc32a2v0OrcZkO2EjvPy/5ubWd3NzQUiEZPrbor3y+OREAyyNk00R1m6dNWmJdhPmZ9cXTunkrj9ZH27FUjUvqmJPRvTXVvdssXOfUlKu1W/C2fwvcbtp/x8PW9Of5S6x2JASwuzW1W1NQa/E16vfdoaPW2ndM5ryEIZKYU7WZbllMe74q9//StWrFiBhx9+GEOHDk3425NPPtnx8+TJkzFx4kSMHTsWf/zjH3H77benPN99992HpUuXJh1ft25dUli7VlRVVSEclrBpU1n7kUMdyQfdbW24qP3o2rVrEU0x7aRVme7K7d+fj/37C/DNNwHs3NmY9jOKSFVVFQBg69beaG72oqGhHtu2MUPaCE3VlGlp8eDzz/vA642hqelwJo8pJFVVVThwIB/79hWgb98Ajh5ldcoITdWW2bKlFKGQC62tR1FQEMngKcWjqqoKra0efPYZq1MuV7xOidLW7N5dhJqaXFRXt+CYY5ozeErx4G3Nli2lCAZdaG2tRUFBuwNIkLamvt6HHTtKkJcXweHDRzN5TCHh2mtJa2ur5udMB7Kd4lRVVaG21o+vvipGYWEYwWB6zjitSfV+bd9egsZGH+rqGtCnjz3WK1VVVSEaBT76qB8AIBargceT3cBcbTunloMH87BnTyF27WrD7t0NWZ1LJKqqqvDFFyVoaPChtrYBuwrqNdUtW9ra3Pjkk75wuWS0ttaYei9aUlVVhUOH8vDNN4Xo3bsNDQ361qlM3odPP+2LQMCN5uY6FBWFdL0/o6iqqkIw6MaWLX3hcgEu16EeP6N1W9ITe/cWoro6D/v2teKLL5p0vZZR6GE7AertJ0mW9V2QUlZWhmuvvRbLli1LOD5q1ChMmDABjz/+eI/nqKqqwkUXXYTFixfj17/+tarrjho1CqNHj8bf/va3lH9PNas3cOBAHDlyBEVFRaquoZZwOIyqqipMnz4dgYAXGzZI8PuB6dMV0re0wNs+Axmuq0NKF7dWZbopt2cP8MknEsrKgDPOsPYMh1J3r9eL//xHQlsbMHGijI6JZgM0VVMmFALWrWODi1mzZOF2R0kXpfbbtnmxZ4+EE06QMWxYewEDNFVb5q23JNTXA6efLkPwnct7RKl7XZ0X778voVcvYNIk8dqaL78EvvhCQkWFjFNPzex5RUGpu8fjxZo1LMpu2jQ5vpRFkLamsRHYsEGCzwfMmGHtNh5Ibue1pLGxEX379kVDQ4PmdkFPkO3EUH6/e/d6sXWrhAEDZHTa/M94UrxfmzYB+/dLGD5cRiefn+VQ6h4KebF+vQS3G7jgAg3aDLXtnEoOHAA+/lhC797AWWfZq017+20fmpuBM8+U0TdXW92yJRoFXn2V2a3nny9bftMRpe5ffunFrl0SjjtOxqhROl84g/fhv/+VcPgwcOqpMioqdL4/nVHq3tTkxTvvSMjPB6ZOVfEua9yW9MTXXwOffy5IH5QletpOgHr7SfeIqBEjRiTlMwgGg9i5cyeuvfbaHj///vvvo7KyEpdddhnuv/9+1dftyb/m9/vhT7EOx+v16vKF8HM3NXnh8bAd6RIuo/jF6/Wm3kZKqzLdlCsqYmHOYRvtZOX1euHxeBGNsmcrLFQ8mwGaqinj9bIcE7EY+2f1JWIcr9eLaJTV+aKiNHVXWy7LMoWFQHMzM6rsVOcjEbHbmsJC9j7aTfdo1Au3m+WVKChQ5JcQpK3hbTxbHi7eluCZokffrZctoAaynZLPz9u0hD7cLFK8X0VFwKFD9mvTAgGme36+Rs+ltp1TCW/TIhH76A4wbcJhT9x+gra6ZYvXy/L4hNtzFekYEGkoXdqt+l0w4dpqLlhQANTV2avOd2u3dv2hhM/rLQa3W+02Rtaj71Z7Tt1N0FmzZuG1117D0aPxJQAvvvgigsEgZs2a1e1nt23bhlmzZuHss8/Gn//8Z9Xh6Js3b8aOHTswbty4rO5dD0ROPAjYdxcMkXfA4Ng1CZ7ISU4B++oucsJHIH5fdmtrRE5yCjDjiTuf7Ka9nSDbKRmRNwEA7NuXWMlutdOmI9zBA4hb5+3aj1vFbrWb7qLbrXbV3Ux0j4hauHAh/vCHP2DOnDn42c9+hpqaGtx6662YP39+wg4u1113HZ588klEIixHS01NDc4//3x4vV7cdttt+OijjzrK+v1+jBkzBgCwfPly7Nq1C+eccw7Kysrw2Wef4d5778XAgQOxYMECvR8vbUQ3pPjLzztAvguM1VF2KiIODgF2b62t9mvgRK/zdu1YrGJI0aDNeHJzgZYWdq92mcW2G2Q7JUODFHMQXXc+uRiLsTQHok42pgvX3esV1xbPyWHLve3Wj4tut5ID0ByUuvPgBiI7dHdEFRcX4/XXX8eiRYtQWVmJvLw8XHnllUmh4tFoFFHFPpRbt27F3r17AQDTpk1LKDto0CDs3r0bADBs2DC88MILeO6559DU1ITS0lJceOGF+OUvf5lyxxmzEX2Q4vHEQ5zb2kxfgq4ZohtSgD23wo1GmWEIiKu9HXUHxK/z3NCIRNC+w5y596MVohuwALu3lhb7GbF2gmynZKw0SLETouvucrF7a2tj/+ziiBJ9vADY0/kqy9axn+xmt4pe53mkuyyzlTaitolWwhDT/8QTT8TatWu7LbNy5UqsXLmy4/cpU6b0mKsAAGbPno3Zs2dne4uGYZVBSnMzaxDs4ogS3ZAC7Nmh82dxu8VdT21H3QHx67zHg/atkZn2BQVm35E2iG5IAfYdMNsNsp3iWGlw2NbGonPskn9NdN2BuCMqEAB69TL7brTBCuMFO07khULs/QXEdWratQ8Xvc7z9C7c6S3qfVoJm3ST1oEGKeZAupuD6J0KYE9DCrBGnbfjrJ4V6rwddSfsjRXyPPp8ceeTYmNByyP6pAZgzwklK/XhdtJd2YeL6kzmugeDcaeZHbCC09uOYzUzEfQVsy80SDEH0t0crGRIxWIsOscOWCHJKWBPI9ZKdd5OuhP2RvRNAAB2X3Z8t2hwaA5WsFvtqLsVHK9Kp7ddtI/FrFHn7ThWMxObZOWwBjQ4NA8rGFKkuzm4XKxTD4VYxyLqEsJ0sEKSU0BcI1aWZUSj0Y4E0D0RDofh8XjQ1taGUCgKj4fVq4TnCgaBQYPiP6f6YtSU0eBcPBcgDy+3MkrtlbmS1OD1euEW+QUhOrBCXwLENx0JBICSErPvJntisXh0lxXsVjsNDtvamMdV5DpvT93Z/yLXdyBxgyORNh2JRqMIpzGry/vwpqY2eDxRSFKiU6pb1NpMGuL3M/vJ6ptLiWI7kSPKQHhD7fPR4NBorDDDYcfdGKygO8DuLxRi2hcVmX032WOlQRsgjhEryzLq6+tx+PDhtDpmWZbRv39/7N27F716SSgqAmprgbo6RaFYDHj0UfZzdXXqmH81ZTQ4VywGlJWxNubrr1U/ppAotZcyaDSLi4vRv3//jD5LGIeV+hLAPvYTfw4+YSMqdrRbreAQ4fdmp522rRDVDLD7405vEZBlGQcPHkR9fX3an+vfvz8OHtyLsjIJLhfQvqdGz6i1mTRElpn9FIlY234SxXYiR5SBWKFTAcQbHGaLFZKcAvbcjSEYFH9GD2D3Z6ctiK0yaBNt8MCNqKKiIhQVFcHj8ajqZGOxGJqbm5GfX4CWFmYIFRZ2ciZHo/EvZvDg1Ba7mjIanCsWYxtSpLxPi8G1LygogCsNI1SWZbS2tqKmpgYAUF5ertctEhpghT4csF/OQavobje7FbCG9l6v/XbattpYTTT7qaysDHl5eaodFLwPz8kpQFubC253GvVIrc2kIXzSOq37FBBRbCdyRBmIFToVQLzBYbZYIckpYM/dGKziEBGtQ88Wq7Q1Ig0eotEoGhoaUFpair59+6b12VgshlAoBJ8vB+GwCy5XCu2VEVY5OV07j3oqo8G5ZJkZUwBrc0RNyKoGrn1OTk5axhQA5LZ/STU1NSgrK6NlegJDg0NzoD7cHKJRCbEYc/JYQXs77bRthSWRgFh1PhqNdjih+vTpk9ZneR/u9eYgFnPB602jzqu1mTTE44nviir6u9kdothOFjY/rYfVOnS77MZghSSnHLs5Aa3iELHbLLbV2hoR6ns4HIYsy8jPwpKWZfa/6O2MJMWdT3Zo47Mhrz25Rjo5LQjjocGhOVhlmRLXPRq1x6YjoRBroHnEkciQ3WoOItmtvP/MyyJZFbefRJ8Y4/Yd2U7a2E6Cf932wiqNm912Y7CKIQWIFSGSLVZJcgrYb/BgpSWRAIvOEaVTz2a9O38G0Q0pgBxRHMoNZQ2s4lwXaXCoBVaJRHO74zms7KB9KMQiDETXHbCX3QpYp60R0W7Nzn5inxXdflLen5PtJ61sJ8G/bnvBZ/REb9wAMRu4TLGKIQXYa2YpHGaGlOhJTgF71XfAOoaUclc/OxixVnJEcRuCz0IShMhYZSJP2ZfY4d2ySiQaYK9+nEdEid6HA/bSPRyWOvpx0bW3m9PbShFRZD9ph+Bft72wiiEF2KuBo4goc+CGlBV0t1N9B6zV1tjJiBVpad6SpUshjRvH/rUnXef/fvnLX+oWEVVQUIAlS5ak9Zndu3djyZIlOHDgQNJxSZKwatUqDe+QsBrKwaHIeR6BxE1HeB42K0MTeebAI6Ks0IfbSXc+gWqF3InKNCp2cIjwNl4I+2nJkgSbiewn/RB85bG9sEqUAmCvwSFfHmaFDt1OuodCbuTnW6u+RyLsn+g5GbrDSklOAXaPLS32qPOihZbn+v14/X//FzjxxIQkngMHDhRqad7u3buxdOlSXHTRRRgwYEDH8fLycrz77rs48cQTTbw7wmxCITdyc60xOHS5EjcdEd1x1hNWnNSww4QSd4iQ7sYSCrmRk2MN28lOO23LcnxTKVHa+NzcXLz++utJx7n9FI2S/aQFFh5uWQsrDg4BewwOAwHrLIm008ySlSKiPB62TCwcZtoXFJh9R5kTCrng97NnsoJDzU7RaKItzXO5XDjzpJOAMWOSdpPh0RrKmdRAINCxG4oI+P1+nHnmmWbfBmEy4TBzRAlUNbslJ4f1I4EA0KuX2XeTObEYew6yW43HSjmiyG41BzvttM2dUIAYEVFAu/3Uhf3R2sr+J/spewQxl+0P71SssAMGYK/BoZVCy+02swRYQ3fAPtpbKaQfsNfgQaSleT3hcgElJRKWL1+GH//4x+jfvz9KS0sBALIsY/ny5TjxxBPh9/tx/PHH43e/+13SOV566SUMHz4cOTk5OOOMM/DBBx+kvNYrr7yC8ePHIzc3F6WlpbjxxhvR0tICAHjjjTcwdepUAMC4ceM6wt8B64SWE/oSDFonXw5gnzYtHGa6WyHPI0AOEbOw007bVrNb7TJWk+V4NLmV7Kdf/5rsp2yxgEvEHvAoBas0bnYxpGSZPYPLZa0OPRZjEQtWMP66wooOkaYm69d5KyU5BezjAIzF4kksRYmIAoAIX2+qmLpzu91wuZix8uijD+Lss8/Cn/70J4Taw6QWL16Mxx9/HHfddRfGjx+Pd955Bz/+8Y+Rm5uLG264AQCwefNmXHrppbjgggvwwAMPYNeuXbj88suTtvJdtWoV5s2bh+9973tYunQpqqur8ZOf/AR1dXV47rnnMHbsWDz88MO46aab8Oc//xnDhw83SBnCKlhpmRJgn8FhKOSG18vaaCsMDu3SlwDWcojwnbZ5BF37ru6WxKr2k9XtVlETlUcikaRjSvvpkUfIfsoWckQZhBUH5YD1G7dIxAW3O563QXT4zGMoxLS3tiPKWh26XWZTrTpoE1n3aLT7v8dizNfjcsUN8uSTtP+D4n+VZTqtqlNNSyAA74QJScfXr1+Pc86ZAgAoKemD559fBbebGVY7d+7EQw89hEcffRTXX389AGDatGlobm7G0qVLcf3118PlcmHZsmU49thj8Y9//APu9hv0+XxYuHBhx3VkWcb//M//YN68eXj88cc7jvfr1w8XXXQRfvazn2HUqFEYOXIkAGD06NE4/fTTM3tYwrZYaVAO2Md+4n0J6W4s0SgQiVgnpQTA7rO11Q6OKLKftKQn2wng9hOr7263us/EL4Ae7aqM7aeWFni93qTj69evx9lnTwEA9O7dB6tWreqIQiL7KX3IEWUQVh6UK9fuWo1QyIXcXKa7aJ72rsjNZY6oQAAoKjL7bjLHag4Ru8ym0qBNW6JRYM2a7svEYkBzsxcuFzN6Utb5KIBd7QljqgGkMo66KDNrVmbGVK7fjw3/93/AsGEJJxg2bFhHmz5t2gUdYfEA8J///AcAcOmllybMBp533nn4zW9+g71792LQoEH473//i4svvrjDiAKAuXPnJhhSO3bswDfffIMVK1YknOucc86BJEn48MMPMWrUqPQfjHAUVlqmBIg/OFQLXxJpNd3DYdZuZzoANRteb3juSiuQm8scUVa3n6zqfBVRdzW2E8Dsp8ZGT0d9TytoQIVdlbH9lJuLDRs2JB0fNmxYx3hy2rQLOpxQANlPmUCOKIOwmpfdLrsx8N12rHT/OTlAQ4O1jVi2tNC6zlcrY+VBWyxmHYdxZ0TMD+VyuXD6yJEpk5VzSkvLEhJuHjlyBLIso2/fvinLc0OquroaZWVlCX/r3bs3PIokiEeOHAEAXHLJJV2eiyB6wqrOdREHh+lgtckkvkFHJML6k/x8s+8oM6y0wzZH9AkltVjN+WoX3UVcmudyubqMMOL327dvWUKwBtlP6UOOKIOwmpfdLrsxWG1QDtjDIRIMsv+tkuQUsM/gwWqDNp8v0ekt2rvqdrMZte6IxYAjR6Ids3kplyZEAWxqYD+PQdcRUSnK6DmzL0lSwlLC3r17Q5IkvPXWW/CleHmHDRsGgG0NXFNTk/C32trahJm73r17AwAeeughjB8/Pulcyq2GCaIrrDapYZfBodX6EoDda3Mz68et6oji9Ua0vrA77GC3hsNALGatJZEi56NTYzsBzH46dCiKnBz2zqY1ZlBhV+lhP8V3+GP2E78G2U/pQ44og7CqQ4Q7oqyKVQ0pQMyORS3KGT2RIkS6wy6DB77TkVXaGkli2gcCTHsR77snQ4YlKJfgdrPQ8i7LuxX/Z1NGY5SOqPPOOw8AcPToUcyePbvLz5xxxhl4+eWX8cADD3SEl3fenWX48OGoqKjArl27cNNNN3V5Lm6wtVn95SM0Rzk4FLFtSAXvS6JRdv9WWV7VGavarc3N1u7Huf3k98vdFxQIO9itvM74fNZZ1im63apGR9X2U5cXUfxvwvemdESR/ZQ+5IgyCHKImIPVlkQC4ncsauD3bqX6zutIKGTd/BJs4GOt6AGAac8dUVaFO3NECi2PxWJ479NPWaiZokKXlpZiyJAhHb8rl+adeOKJuOmmm/Cd73wHt912G8aPH49wOIwdO3Zg/fr1+Mc//gEA+MlPfoJx48bhW9/6Fn7wgx9g165dWL58ecIsoCRJeOCBB3DVVVehpaUFF154IfLz8/HNN9/glVdewa9+9SuceOKJOPHEE+F2u/GnP/0JbrcbXq/Xkkk3Ce3h9gffmcsKuN3xTUcCASs7oshuNQMrRkTZwW618pJIq++0LeLSvFgshvfeey/pONlP2kKOKANQ7oBhpY7FHqG21hyUA9bWPW5IWWdGj8/ERKPWzS/BdeczS1bBDoMHnvBbJEMqEAxiwrXXJh3/7ne/i5UrV3b83nmXv9///vcYNmwYHnvsMdxzzz3Iz8/HsGHDcPnll3eUGTNmDP7+97/jJz/5CS655BKMHj0azz33XMeMIOeyyy5DcXEx7r33Xjz99NMAgMGDB2PmzJno168fAKBv3754+OGH8etf/xpPPfUUIpEIZNk6bQehH1YclAOsTeO731px0xFZtqb9ZAeHSFubtZaHAWIvEVOLFdsaviN4MGjdnbaVXb1IKygCgQAmpNh1mOwnbSFHlAEod8DwWEhxOwwOrRwRZWXd46Hl5t5HuuTkAC0t1ndEWam+A/YYPIiWrHzJz3+OJRdfzH7pIll5OCyjuTnZkJIkCTfffDNuvvnmbq9xySWXJCXSbG5uTio3ffp0TJ8+vdtzLVy4MGHHGIAZXFYyqAjtsWKUAsDut7HRum1aMBjfMdlK/bi9JvLMvY904O+nst5YDSsuiQSY9sGgdXfaVkaTi1JvlixZgiVLlnRbJhCQOzbZUUL2U3oYMne7Y8cOzJw5E/n5+SgrK8PixYsRUDnKfvLJJzF8+HDk5ORg9OjR+Pvf/55UJhwO44477kB5eTny8vIwdepUfPLJJ1o/RsZY2ZACrN2hWzm0PBJh/6wIn9GzkiEFWN+ItWpbY3XdlX29SBFRPcGNPgvYKo7E6bYToFzmba1KavUIESvmeQTsNZFnpX68807bVsSKDkDA+mM1EZflqYHsJ23Q/Wuvr6/Hueeei6amJrzwwgtYvnw5nnnmGXz/+9/v8bOrVq3CNddcg0suuQSvvvoqzjvvPMybNw/r1q1LKPejH/0IDz/8MO655x689NJL8Hg8OO+883Dw4EG9Hks90Sjwxps4+fN16L/9Tfa7Rcj1RdHn0zfQa82zwBtvWOreEY0i8p83MfrTdej72ZvI8Vrn3j0ewOti2keesqb2Oe+xOt9rk7XqfI6X6e5+3pq6S28y3Us/f8NS9851z/+nBXWXZchNzcgNNMLb1gQJ1rFKXC4Asgx3axPko0eBpiayqgTB8bYTAESj8LzF2rTen1isL7H44NCqg3KrT2rwXD+AtRxRkhTvxyNPW7AfhzWXRALWd3rziCIrObyBuOOsc0QUkSayzixbtkzOy8uTDx8+3HHsmWeekQHIW7du7fazw4cPly+77LKEYzNmzJDHjx/f8fu+fftkt9stP/zwwx3HGhsb5T59+sg//vGPVd9nQ0ODDEBuaGhQ/ZkeeeEFWa6okGVm2rN/FRXseGeam+NlmptTn0+rMmrKvfCCHD1G5b2Lhhm6a3muF16QA6U2195oTVXqHupvc91lWci2JjLAfN0DgYC8detWORAIqP9Qba0sb9kiyx98EP+3ZQs73plIJF4mEkl9PjVltDxXba0c3aTy/gUlGo3KdXV1cjQazejz3X3vutgFKnG07STL6bVpZtBDu7Znjyz/85+y/O67JtybBmzfHpLvvPNd+b33QtqfXG3fkQHBINP9n/+U5QybBFNpaZHl1avD8k9/+o4cCnXSXkfdsuaFF+Q2q9qt7VRVheU773xX3r9fhzrfHVl+rzt2sPq+aZP2t6aWjOyndlpaovK+fU1yS0sGL6xam0kHIhFZrquT5fp6Qy+rGXraTrKs3jbQPSJqzZo1mDZtGvr27dtx7NJLL4Xf78eaNWu6/NzXX3+N7du348orr0w4ftVVV+H999/HkSNHAADr1q1DNBrFFVdc0VGmsLAQs2fPxiuvvKLx06TB6tXA3LnAvn2Jx/fvZ8dXrzbnvtTQfu/SfuveuyV1Bzru33/Ygvfffu+yFbVvv3fPQeveuyXrfPu9uw5Y8N7r6oCdO+PT15xQiB2vqzPnvtTSfv9SxKL3b3McazsB1m7T2rFLRJSV8kMBibsrWlH7+C6RFgqzaH9ffVa0WxVw7a0WBWj1tka0/JpqUS7No0DyzNE9dfa2bdtwbadde/x+P4YMGYJt27Z1+zkAGDFiRMLxkSNHQpZlbN++HRMnTsS2bdvQr18/9O7dO6ncM888g1gsBpfRC0+jUWDxYrZkA0Cr8m+8tv7wh8C0afEEsi0t8TLKn5VoVaa7ctEosGhR6reqq3sXhUzu3QhN1ZZxkvZGaaqmjJN0B6it6YJgMIhYLIZoNIqomiUFe/b0/Hdl5lBl/HZXsdxqymh1rnTv3yRcLhckq1moGuBI2wnIzH4ygx7aP777ajTaffMoKvX1YYRCAchyC1paNN6CVW3fkQVtbcDRo9YbINbWAm1tEQDNaGlpgVe5/a0BuqWNYP14pkQiQHNzBKFQANGoDnW+O7L8XmMxVt9ra82rFmnbTwoiERmxWAxADNFomi+sWptJJ7gTKhLpPseVU+0YNejuiKqrq0NxcXHS8ZKSEtTW1nb7OQBJny0pKQGAjs92d/5wOIzm5mYUpTCmg8EggoqMeo2NjQBY8s5wONztM/WE9Oab8LTP5LUCKEhVaP9+oFev1Cdo35KxW7Qqk045Tnf3LjpG6K71uZTYUXujNSXd41Bb08GgQYPw6KOPqk4G3SPhMLBpU+q/bdnS8+fVlNH6XEq6u38DOfXUU7t0iEQiQGsr0NbmRmEhN2bTIxaLQZZlhMNhuDsNlLK1BbLBibYToIH9ZAaZ9CkWYflynS9gY+2y5e67u/mjlXQT7X3tAd3rfHdY6XtVoIX9dOhQljeRiZ1jEN3ZMWYRCACtrR74/YDfr63tBKi3n3R3RAFI6QWUZVmVd7BzGbndw6483tX5u/obANx3331YunRp0vF169YhLy+vx/vqjmM2bMDpWZ2BIAiCIIjG+nq4PKlNlXBYQijkhtsNNDU1ZXT+UCiEQCCADRs2INJpm9LW1tYuPmUMTrOdALKfCIIgCHvRnR1jFm1tbsiyhObmZgSD6TuiurOdAPX2k+6qlJSUdMzQKamvr08KHe/8OYDN2vVTeIjr6+sT/t7d+b1eL/Lz81Oe/4477sCtt97a8XtjYyMGDhyIGTNmpJwFTAcpPx944AEAQB6A5i7KRf75T8iTJmV1La2RNm6E5+KLeyyXcO8tLfBWVAAAwvv2Aak0V1Mmy3NldO8Ckfb9C6J7RvcuELroDhjy/ThKd0BXTUNeLw4fPoxBgwYhhyddiMUgtW9nL598cjz2urkZ0ldf9Xjv8tChQEHKmA5zSff+u9JBiZoyasspykjFxV2eq62NrfYIh5tRWFiYUeh7W1sbcnNzMXny5Pj33g6P9jEDJ9pOgLXtp85s2CChpQU44wwZffoYfHG17WAKZBl49dUoNm36BIsWjUZRkYHLlDRg+3bg668lDB4so5tXJTVZ6KYFmzZJ2L8/irq6t3DFFRMSl+YJiGVskB6+1337gM2bY9i9+wMsXDhWeN0785//SAiHgYkTZRQWanxyFe9EKBRKtp9UIMtAYyNzWvTvn2u55WuBAEurmZOTIp+eSjvGLFwuoKmpFYWF+fD5tLWdAPX2k+6OqBEjRiTlMwgGg9i5c2dS/oPOnwNYvoPhw4d3HN+6dSskSeo4NmLECNTU1KC2tjYh18HWrVsxbNiwLkPh/H4//CmyMHq93uwboKlTgYoKYP9+SLKMpFdWktjfZ80Sb830rFkd955yzXeqe1fqVVycuuNWUybbc2Vy7yKR7v2Lonsm9y4SeugOGPP9OEl3QFdN29xuHD16FB6PBx4+c6XMdeB2x++jVy+WFbdzonIlPh8rJ6Jhle79d6WDEjVl1JZTlpGkbg04SZIhSSyCJ5PQd567IVXfb+ZgxJG2E2Bt+6kTZWXA4cPsVUqxClJf1LaDKQgGgdzcCHy+XPTrVwy/31qD8n79mO5ebwa6Z6GbFng8QH5+BJGID8XFxeI7RKxig/TwvR4+zHQvKLCI7p3o2xdoamIOEc3bGhXvRFtbW7L9pIJoFHC5ZLjdLrjdbuGWr/WEx8Ofgf2cQBp2jBnw6Ge3W3vbCVBvP+muyqxZs/Daa6/h6NGjHcdefPFFBINBzJo1q8vPHXfccRg+fDj+9re/JRx/9tlnccYZZ3TsJDNjxgy4XC48//zzHWWam5vx8ssv48ILL9T4aVTidgMPPsh+7jwI4b+vWCGmEUX3bh6K+5etdv/Ke4d1791y9cYmdcZyuksSMHAgAKDL1JoDB4rphAKsf//t8JRQkmSxjMQqcKTtBFi7XeiEVXez4vfr88VEGzupwqq6A/F79nrTS/hsGla2QRRYcrdCBVat81bvw3n7aEKe9KyQ5fg9m93G6375hQsXori4GHPmzMHatWvx1FNPYdGiRZg/f35CePl1112X5EW955578Pzzz+Ouu+7CG2+8gR/96EdYt24d7rnnno4yxxxzDG644Qb8+Mc/xuOPP46qqipceumlAIBbbrlF78frmspKYNUq4JhjEo9XVLDjlZXm3JcabHDvshXvHei4f8mK999+76FS6967let8tJ91792SupeUAEOGAF5f4nGfjx0vKWEzYm+8ATz7LPs/zd1ksuF3v/sdjj32WLjdbnzrW99KLqDm/ntg9+7dkCSJ/fN4II0bB2ncOJx51llJZXfs2IGZM2civ6gIZTNmYPHy5aoSmw4eMgQ333xzyr+NGjUYt99+s+mGlB441nYCrN0uKOCDQ632PzAKfr+WcYZ0IjeX/W813WWZRaMBmSUPNg0r263txJ2vVOeNJO6ISvFHke2ndrJxRIVCIdx+++2YPHky8vPzIUkSjhw5klTu73//O771rW9h4MCByM/Px8knn4z//d//VbU5y+DBg1PaT7IMnHLKcbjrrv9n+nyj7kvziouL8frrr2PRokWorKxEXl4errzyStx///0J5VJt+XjZZZehtbUVv/rVr7B8+XIMHToUf/vb3zBjxoyEcg888AAKCgrw05/+FA0NDRg/fjxee+019O/fX+/H657KSmDOHETWr8fmV1/FqRdcAM/UqcLPDADouPfAuo3Y+lo1IqXlGP8/kyxz783nzsHmP7yBg5vfwiU3nm0d3YEO7T9+cCPkA9UYOqkcvS6yjvZvF86B9703IB1cizMvmWEd7dt13/3URhz9rBq9R5XjuKuto/sXQ+eg9qU30LrzdZz37amW073hXxvx1cZqSAPKMXaxRXQvKUGkoBhth5sQCTSjuLQAUmEhs6pWr2bb0LfvAAaAGeYPPqi7Yb59+3bceuut+MlPfoLZs2d3RMGkun+puBjNB5shRULILfLBVVSQdiTUr371K0ydPBnYsQMAUHjaaQl/r6+vx7nnnotBgwbhheefR82HH+LW3/0ORxcuxNPPPJPRMwLxlSBWnU3tDkfbToC17ad2+ODQalEKyogoK8IdgMEgayPMHmipRXm/Ho/FtG9/Xz95eCPCe6px3Fnl6D3HIv04rO98tV1ElBXsJ8TbllSrUnuitbUVf/zjHzFu3DhMmjQJa9euTVnut7/9LQYNGoTf/OY36NevH9avX48f/vCH2LVrF37zm9+kf2H04AA0GENSuJ944oldCsxZuXIlVq5cmXT8u9/9Lr773e92+1mfz4dly5Zh2bJl2dymPrjdkM85B/tbWnDKOedYplEGALjd8E6fggPtyfAjskEVRgPawm4cGX0OvpD8kM8Zby3dAcDtRnDCFBw5AvQfC/Sy0O0HQm40jD4H4WEByBas87HJU3CgDyCXA8dZ6NYDIVbnD/eLWVJ3z7QpOOBqv20L3bosS4jkFiLokiAXsFktrF4NzJ2bbJ3s38+O6zxLvH37dgDA97//fRx//PHdF5YkxPILEYsBvjzAlYFhcsIJJ+DMM8+MZ+scNSrh74899hjq6uqwefNm9C0pAfr1g8ftxvyf/Qx3/fSn3Sbf7grlZKAIxpQeONp2AqxtP8G6g0OrR4f4/axN4BFGaeRONhXuDMnJiUdGWYp2u/XgcUCfk4DeFnpdre58tWpEVHwySXHQQvaTMiIqXad3cXExamtrIUkSVq5c2WVf//LLL6O0tLTj96lTp6K5uRkPPfQQfvnLX6bM2dgTcWnNn8SzYUA7oSUeTzxPnZUaON6pWCq8uRNWDOsPheIDRKvOLFl9FtuquvP6Ho0C4bC595IOSTN60SibyUs1RcaP3XKLbmHm11xzDS655BIAwJAhQzqMnHA4jNtuuw2DBg2C3+9HeXk5Zs+ejYaGhg5jKpNZPTWsWbMG06ZNS5hZvPTcc+H3+7FmzZqMzqm8V278dSwT7PRvyZIlWdw9QWSGVQeHVs+XI0nWtJ94H87rjRWxYp2PxeL7dljV+WpVp7fV7afGxoak20sHNbsEKp1QnDFjxqCtrQ21tbXpXxSpI6LMsp+sEuBCmEhODhsYtrVB+21BdcLqYbaANR0icQegtZwJSqxoSAHKwYM167zbHd/ILRBI3KhFZJI69I0bE8PJOyPLwN69rNyUKZrfz89+9jMMGzYMd955J1avXo3y8nIMGTIE9913Hx599FHcf//9GDVqFI4cOYJ169YhGAyioIB9NhSKpM63FI0CERYa64rF4OoUmXLjjTdi3rx56NOrF+ZMnoz7//hH9FYYT9u2bUva6c3v82HIkCFJO8OlQpZlRNqvz+Hti9KQevfddxPKrFu3Dj//+c8xbNiwHq9BEFrDB4d8gsYqucysHhEFMO0DAWvZT/GIKPOjFDLFig4RrrvbzXZwsyJWtVuTEmZbzH4KhYLIyeHOzEjiznkKuwmRCCDLcLlcmuwMuHHjRvTu3RtlZWU9lk1lP6XaMNks+4kcUUSP5OaybUGt1MBZPcwWsOaMnjK03KqOKCvml1AmObV6nQ+F2PtbVGT23agjKU9RdbW6D6otlyZDhgzBCSecAIDNmg0ePBgA8P7772PGjBn4wQ9+0FGWJ6fm721hYc/ev+9efTVWPvkkAMDv9+PGG2/E+eefj+LCQvz3H//AvX/6Ez6cMQPvv/9+x/a9dXV1KE6xp3RJe2h6TzzyyCN45JFHUv5N+X6eeeaZHT9/+eWXWLFiBRYsWIArr7yyx2sQhNb4fGyAFYuxdyzFrudCYpeJvLo6a9lPyok8q2JFhwjXnTsvrQi3W8Nh5v+wyipmO9hPzc2sjc/NVWE/ffe7KZfSp8OHH36IP//5z/j5z38Ot4ovWnT7iRxRRI9YeYbDyjN6Vo6IyslhzksrYsX8EkqnmddrXUdUbi7Q2GgtYzApIqq8XN0H1ZbTiLFjx+I3v/kNlixZggsvvBCnnXZax8wcn6DbsOGD1MtColHgiy8AAH3PPrvjcHl5edzAiUZxTlERRh1/PC760Y/w4osv4vLLL+8omyoEXZZlVaHpl19+OW677baEY8EgMHfuxSnLNzY2Ys6cORg+fDgefvjhHs9PEHqRmwu0tLC+0SqOKDtN5FnRfrLy0jyr624l20OJ18ucT9GoddoaWU6RI8qC9hO/97ff/gA+5SbECrsJw4YBbne3ic/VcPDgQVx66aU444wz8OMf/1jVZ1LZT62twLx5YthP5IgiesTKMxxWntGzdkSUNcObgXh+iUCA/bOCI0rpALRkktN2rGjEJuU4mDSJ7e6yf3/qpAGSxP4+aZJxNwngrrvugsvlwpNPPomlS5eitLQUN910E+6++2642jOUjx59aurl19Fox7O4jj222+vMOvtsFBQU4KOPPupwRJWUlKCuri6pbH1DA0aMHNnjvZeWluL0009PONbaCni9vqSIxVgshvnz56O+vh6vvfYafAmWIUEYS05O3BFlBXhEBWBt+8mKE3nKiHKrYsXxAr9Xv9+6divAtG9utk70Zcqd2yxsP5100qmJTmSF3YRTTwXc7qyW5TU0NOCCCy5AXl4e/vnPf3ZEnPdEKvupsVEc+8kiK9YJM7Hi4NAOycp5gxYMJu4QJTJKh4iVsVqdt4MBC1jPiE05o+d2sy2GEw4i8fcVKwyPnff7/ViyZAm+/vprfPnll1iwYAGWLFmCp59+uiMiqndvL7zeFP9ycuCdMAHeCRNw7YIFPV5L7mRAjhgxIikXVDAUws6dOzPaMQ/ouk286667sG7duo78DgRhJlZr0+LRUNZZ3pMKK07k2cF+4veuTAAuOnbQHbCe8zUpPxRgafupqKhru8mbkwOv15uUK1MtbW1tuPjii3Ho0CH8+9//Rp8+fbJ6nrj9lGirmWE/UUQU0SNWM6Si0XgHaOUZPWV+ibY2IC/P7DvqGTuElgPWyy+hNKQaGrovKzJWcwAqZ/QSbKbKSrbF8A9/yGb2OBUVzIjScethNQwdOhS/+tWv8Nhjj2Hbtm0d9/766x+goCBFXrQulual4l8bN6KlpQXjxo3rODZr1iz84he/wNGjR9GnPVfUi2+8gWAwiFmzZmX0DKm2fX7uueewbNkyPP744wn5DgjCLKw2OFROajQ3m3sv2WA1u1WW7WE/uVzxTUfa2gArBKTyOmJl3QHrOV95H87HOR1Y1H56440PEiPRNFqaF4lEcPnll2PLli3YsGEDBg0alNX9K7UWwX4iRxTRI1YbHPL7tPIOGJycHLYExSqOKLtE5litztthSSQg5uBBlmW0trWx9TWdZuEiEXZYkmTIcgvcytDr888HPvgArgEDIAGQV69G7Lzz2DlaWtK6h7y8PFW5lLrjW9/6Fk477TSMGTMG+fn5ePnll1FbW4tzzz0XLhczSMaMOR2FhSkmG5XZT9uTdwLA//zP/8DlcmH8+PEoLizE+y+9hPuefBKnn346vvWtb3WUW7hwIf7whz9gzpw5+Nmdd6Lmww9x6+9+h/lXXZV1RBSXZdeuXbj22msxdepUjBo1Cu+9915H2YqKClRUVGR0HYLIBqsNDpWTGlZ2RCn7cCtsOsJ3VgSsnawcYP043/3WCpuO2CUiSjS7VZZltLa2dvn3tjb2z+uNIRy2tv0EMPspob4r7aYxY1JGcb366qtoaWnBhx9+CAB4+eWXUVhYiJEjR2Jke9qCm266CS+//DJ+/etfo7W1NcG2GTlyJIrSfMlSrXg0034iRxTRI3xwGA6zgZdH8Fpjhx0wOLm5zBFlleewS4dutVlsu+gumiEFAK1tbSiYPDn7E2Uxi9fc3Iz8LJM+nH322Xj++efx29/+FpFIBMOGDcNf//pXTJs2DUA8QX8qI6UrRowYgUceeQSPPfYYWltbcUxpKa67+GIsffhheBQdRXFxMV5//XUsWrQIlZddhjyfD1eefz7uf+yxjJ4l1ZLIPXv2IBAIYP369ZgwYUJC+Z///OdYsmRJRtciiGwQsU3rjnhfYu1JDeWmI6GQ+M4d5Y55Guzubio8Mttqdd7qEVGiTeS1traioKBAm5MJbD9xB3Islr7T+8Ybb8Q333zT8Ttfuqe0WdauXQsAuP3225M+v379ekyZMiWtZ0mVm8tM+0lwlwIhAh4P+xeJsAZbq3ZFL+ywAwbHSkZsJML+AfZxiFil/tjFkOK6RyLM8a0yFyPRiblz5yblabrtttuSdk5RwsPj08lHd9111+G6665jv0SjwKZN7OcUM3QnnngiM6iU5VRU2N07dybNJPJ7/PTT3SgsjKGxsRFTpkxJemaCMBvRBoc9YZeoZpeLOXXa2tgzie6IssvyMMBadZ6nvgCsX+etZreKSrr2k9Khk64javfu3ZqUSeez3H76/POvEYmwXB5m2k/kiCJUwcO0AwHxHVF22QEDsFZkTnynQvGj5nrCSg5AwD6DB4+H1Z9wmIdsm31HQF5ODpo3bABOOSXJIRIIsM0EfL4YQqFGFBUVZbUrSpf3YMC6XH7bVtgYIeVuOwQhILxN5puOiB7tYpdBOcDsJ778R3TspLuV7Ce+yzDPbWVlRBsv5OXlobmb9b1NTWxeKi8vhtZW69pPkpQ4kSd6Gx+PJhdjjGzx4SJhFHxbUFEauO6wS3QIYK0ZDrs4Q4DEDt0K+SXsZMTm5sYdUYWFZt8NIEkS8nNz2X7IKdb4ezxATk4MbW1R5Ofn62JIGQGv41YIKlImOSUIkbHapiN2isyxkv1kJ7tVNIdIdyiXRIpu5/UE153nGzO7f5QkqdslcZEI68sLCmKQJGvbT5lElJtFyt0KTUSQ2yBEx0odi10dIqJjJ2cID+O3whbEyiSndtDeSoMH0Tr0bLBiRJQddCfsjSRZK0LETv24lewnO9mtVurD7eR49Xrjc2Wia58qz6OVsdJEnmj2kyC3QYiOlToWOxlSVtLdTh26y2WdwYOdkpwC1tEdsJchZUVHlB10J+yPVXLmRKMsGhWwRz9uJfvJTnarVeo7YC/dAevYT8o+3A79ONlPmWODYQthBFaaWbJriLPoDZxdO3TRjSk7zaQC1jFiZVm8maVs4EaJ6O0MQEvzCGthlcEhvz++QY3VsYrugL3sVq670rEpKnbSHbDOWM1Ok3iAtRxRotlPgtwGITpWGZTbaQcMgOWX4A01T6ooKtShm4PddDd78KB25xBlMTsYU9woUYbMi4qWDkDaaY/QG6v0JTSpYR520t7tjm80QnXeWMweq6ntT+00iQdYZ2me0r7LVnutbCebVAFCb8weHKrFTjtgANbKL0EdujnYTXezBg9erxeSJKGlpUVVebsZUsrnEH1WT0vtW1tbAbDvnyD0wCp9CU1qmEM4zKKHAPv146Jrb6eJa8A83Xn/yfvTnrCr/WQV20mLyVOtbCcbBN8SRqDcjSEaTbl5lBAoOxU7RCkATPtAgP0rKTH7brqGOnRzsJvuZg0e3G43evXqhcOHDyMYDKKoqAgeSUJHM9LWltDwhULsn9sNtLXFEAqF0NbWZtldXwC2i00sxtqahKU5fJQEJOmQVhkNziXL8QkH9n9m2suyjNbWVtTU1KC4uBhuUTs1wvJYJTLHbpMa/Dn4piOiTk7yvo4nmxZ9MKuGnBygsdE6dd5uzlejdXe73SguLkZNTQ0AIC8vD1I3g7C2NuVGQNa3n5QbG3m97eNPtTaRgYTD2dutWttO5IgiVME7yGiUvU/d7MhpKnYzpABrOESUjTB16MZit1ls/hzhMHOMGJmrpH///sjNzUVNTQ0aGxtZxT5yhP1x9+6E6btIhNV5jwfwemUEAgHk5uZ2a3yJTjDI2nifr5Pu3eiQVhkNzsWXX0sSqyuynJ32xcXF6N+/f9qfIwi1WCUyx26TGi4X28QjGGT9uOiOKLv04YA17FblpIZd6ryZTm/ej3JnVHcobQ232x72UyDA6lRubrsjSq1NZCDcbnW7AZ9PDNuJHFGEanJzgeZm9rKJ6oiymyEFWMMhwu+N5wYQPUGlGqxgSAH2c77yRLmRCNO+oMC4a0uShOLiYvTq1QvRaBSRpibgwgvZHz/+GMjL6yj71VdATQ1QUQEMHBjGhg0bMHnyZEsv8fr8c/ZMQ4YAxx6r+ENra5c6pFVGg3PV1wObNrH3c+RIIBzOXHuv10uRUITudN50RIDxSErs6hAJBtmz9epl9t2kxm59OGANuzUUYu+jJDGHpTKAxaqY6fSWJAnl5eUoKytDuIdBwIcfAk1NwOjRQHGxPeynt99mdeq004CiIqi3iQxk925g3z6gvDw7u1VL24kcUYRqcnKYI0rkgbndwmwBa8ymkgPQPOxY53NzmZESCBjriOJIkgSPxwOPzwd88w076PcnVPBQiDnL8vKAnBw3IpEIcnJyLG1I5eWxZwqHO73L0WiXOqRVRoNzRaPsHn0+dtjttof2hH3hm47wCAxR22pyiJiDHe0nK0zk8Xvz+5lz2A6OKK57MGie09vtdvfopAgEWD9eVGQf+8nvZ76nWKz9XVZrExkIt1tzc8XRXdB5GUJErJDnwM4duhV0F9XAzoTO+SVExI5JTgFrOF/t6ACkQRtBaI9VNh2xYz9uBYcI9SXmYEfHq88Xdz6JWufttrs5xwp1XsQ23hBH1Jo1azBmzBjk5ORg6NCheOSRR3r8zI4dO7Bo0SKMHDkS+fn5GDRoEK677jocPHgwodwbb7wBSZKS/l1xxRV6PY5jIUPKHKygux07dJ5fAhBX+85JTu2CFQYPdjSkyOktFmQ72QfR361YzH75cgBrDQ7tpDv14eYh+pjBbrubc6xQ50Ucq+m+NO/dd9/FnDlzcPXVV+OBBx7A22+/jUWLFsHn82HBggVdfm7dunV48803cf311+PUU0/Fvn37sGTJEkyYMAGffvopCjqt1/jzn/+M4cOHd/zet29f3Z7JqdBLZg5K3WVZzN0A7To4zMmJJzotKjL7bpKxs+6ANQYPdtJedAMWsGcbnwqyneyF6O8Wvy8+OLRDnkfAGnarnfsSMzYdUYsddQfY87S2ims/2XF3c8BadqtI9pPuTcM999yDsWPH4oknngAATJ06FXv27MHdd9+Na6+9tsstA6+44grcdNNNCZncTz75ZJxyyil44YUX8N3vfjeh/OjRo3H66afr9yCE8C+ZLIv5kmWL35+YX0LEZ7Pr4DA3F2hoENeItbPugLi68ySngH2SnALWSKps18FDZ8h2sheiR0TZ0XYCxLdbAXv242ZuOqIWO+oOiO/0Jt3NQdTdzXU1M4PBIF5//fWkUO/58+ejuroamzZt6vKzffv2TdpO8KSTToLb7caBAwd0uV+ie0Q3pEKheMQQX1JlB6yQX4KMWHMg3c2B3xdPcmoXeFJlIB4+Lxp2NWKVkO1kP0Tvw+2YpwgQf1IjGo1Hn9mtTRN9zGDXSQ3R67xd7VbR63vn3c1FQVcTeufOnQiFQhgxYkTC8ZEjRwIAtm3bltb53n33XUSj0aTzAcCsWbPgdrtRUVGB2267DQFRa4KF4Y2GMhpAJDrvgGEnRB+Y27VDp8GDOYjeodvVkBLd6c2jQgH7aa+EbCf7QW2aOfDnUTp8RILr7vGINTjUApH7EsC+kxo0XjAH0eu7qG28rkvz6urqAADFxcUJx0tKSgAAtbW1qs8VDodxyy23YNiwYbjooos6jvfq1Qu33347Jk+ejNzcXLz++utYvnw5tm3bhn/9619dni8YDCKomPJtbGzsuE5Y496Kn0/r8xqNJAGxmIRYDGhqkpGX1/6HcBjejh/DqXt7NWWyPFdjIxCJSPB4gHBYto3uADNQIhEJjY0yOlJ4CKJ7LAY0N7MZeLdbBvuTPbRnoeUSmppYnQJgiKZqyzU3S4hE7Ke72810Z2H9cjwRuyB1vqmJ3Z/Xa8e2htX3xkY5vpxCEN3b2oBwWIIkAS6X/nXerO+TbKfE+1f+b1V4m9bcrOhL9ETt+9gOb9Ps1pcAgMslIRRibVqPuR7T1C1buN2akxOvF3bRPm4/yeY7AVN8r83NEqJR+9lPKe3WbND4nbBrW8PbeABoaZHhM7gt6Qmj7Va1503bEdXQ0IDq6uoeyx133HEdP3cOE+/peCpuvvlmfPbZZ9iwYQM8iqx3Y8aMwZgxYzp+P/fcc1FeXo6bb74Z77//Ps4444yU57vvvvuwdOnSpOPr1q1DXoeHRVuqqqp0Oa+RfPJJX7S1udHcXIuiIlbJ3G1t4Obt2rVrEU3hblVTJttzHTqUi2++KUJJSRCNjfUd5e2g+549hTh4MA/797di4MAmAOLoHgy6sGVLKVwuQJIOJSQftLr2jY1ebN/eG7m5UdTWHgFgjKZqy332WR+0tnrQ1FSHzz4LdZS3uu4A8PHHZYjFJIRCR5CTw5IwiVLn9+0rwIED+Sgra0VNTVNHeTvovnNnLxw9moOamib0798KQBzdm5s92Lq1D/z+GCTpcMJn9NC+tbVVs3OR7ZQdVn+3QiEXNm8uhSQBbW2HdE/Sq/Z95Hz1VTFqa/04fLgJu3fH673VdQeAzz/vg5YWDxob61Fc3P2a43R1y5YjR3Kwa1cvFBWF0Npal/A3q2u/f38B9u/Px549AXz5ZaOp99L5ew16cvHxx2XtRw4lrKKwuu68n/T5YmhsPNzzB3pA63di27beaGryor6+Adu3x8OHrK47AGzZUopw2IVA4CiK3M2GtiU9UV2dj717C9C3bxtqaxs6juulu1r7SZJlOS136cqVK/G9732vx3KbNm2Cz+fDqFGj8Oqrr2LmzJkdfzt8+DDKysrw1FNP4dvf/naP51q6dCl+8YtfYPXq1bj44ot7LM/P/8gjj+DGG29MWSbVrN7AgQNx5MgRFGm8PVY4HEZVVRWmT58Or8Vjb999V8LRo8CYMTKOOab9YEsLvO0zteG6OiA/P/mDaspkea5t24CdOyUMHixj9Gh76b5rF7B1q4RjjpHRMXYQRPe6OuDttyXk5gLnnRef0bOD9i0twPr1Etxu4IIL5I6DemuqttzatRLCYeCcc2QUFtpHdwB44w0WPXDmmYooQEHq/ObNwL59EoYNk3HCCfbSfetWYNcuCccdJ2PUqPaDguheXQ189JGEkhLg7LP1b2saGxvRt29fNDQ0ZG0XkO2UGXZ5t2QZWLNGgiwD06bJ+i+PUPs+tvP22xLq6oDTTpNRXm4f3QHggw8kHDoEnHSSjEGDeiicpm7Z8uWXwBdfSKiokHHqqeyYXbTfswf45BMJ/foB48YZEAXYHZ2+18ZoPjZskODzATNm2MtuDQaBqirm6Z41S84+VYnG78Rrr0kIBICzzpLRu7d9dAeAt96SUF/P6nu/AmPbkp747DNg924JQ4bIGDFCf93V2k9pR0Rdc801uOaaa1SVDQaD8Pl82LZtW4IxtXXrVgBIma+gM4888giWLFmCxx57TJUhpRa/3w9/iozWXq9XtxdBz3MbRWEh20UsElGsZ1c8k9frTb3QXU2ZLM/Ft4gtKkr8mF10Z0sOxdW9sDD5Y1bXnuvO8XphiKZqykWjbHCTSnur6w6wXXba2lhuD1HrvJ3bGpF1N6qt0fJ8ZDtlhx3erfz8FG2aXqh9H9sJh+3dph092slu7Yo0dcsWJ9hPCXarWXT6XqMhLzweZmfYTXeeb0yWWeqMrDdv0vCdkOV4ne/Vy35tTUEB0NzM2xpj25KeMNpuVXtOXVM6+/1+nHvuuXj++ecTjj/77LMoLy9PCAtPxXPPPYdFixbhnnvuwfXXX6/6us899xwAYNy4cenfNNEtIidjs2viQcAautst8SDA1nz7fOxn0bTn9yPaDhhaIXJyXzvXedLdfMh2sieivluxmH0TCANi20/8nnRc1WoaIu/eZue+RORNR4JBe+5uzqE6nz66JisHgLvvvhuTJ0/G97//fcyfPx9vv/02/vjHP+Kxxx6DSxEvOHToUAwaNAivvfYaAODNN9/E1VdfjUmTJmH69Ol47733OsqWlpZiyJAhAIBvf/vbGDp0KMaOHYucnBy8/vrr+N3vfoc5c+bg9NNP1/vxHIeohhRgb0NK2bjxRlwURG3ctCInh+0UGQiwGT5RcILuAHXoRiOy7qLu+qIHZDvZj9xctpRdNPuJr7R0ueITL3bCCoNDO7Zpyp22WVJwc+9HiZ37cIA9VyDA/rWvDhMCZX0XaRyjFSLvWChqndfdETVhwgS89NJLuPPOO/GXv/wFFRUV+P3vf48FCxYklItEIohGox2/r1+/HuFwGG+++SYmTJiQUPa73/0uVq5cCQAYNWoUnnnmGfz2t79FMBjEcccdhzvvvBN33HGH3o/mSEQdpMiyvR1Rfj/ftZB16iLNJIjauGlFbi7b2Ua0Ou8E3QHxdA+F2HsI2HPwYAWntx2jBzpDtpP9ENV+osGhedi5H/d6mfMpGmV13uQUOQnY2QEIiGs/2bm+A+LqHo0y2xUQT3vdHVEAMGvWLMyaNavbMrt37074fcmSJViyZEmP577jjjvIcDIQUSOigkE2OFSGpNoJl4s5n9ra2D9yRBmHqEYs6W4O/H78fmSfBFRAuNNbllm7KlJ7avfBQ2fIdrIXog5S7N6XiGq3RiLxHd3trH1zs3iOKDsviQTEt5/sWt9F1V3kVB42NKMJPeEvGXf8iILdZ/QAcRs4u3csNHgwB1EHD3bXXdT8EnbPY0PYH+rDzYHrHo3GHT8iwHX3ehM3RbETotd5u05qiNiHA/bvw2m8kD7kiCLSwueLRwEodnA2Hbs3boCYA3O+VBCwr/aiG1J21125FE4E7K47IGad5228XfPYEPZH1MGh3ds0ZRSASNo7yW4VSXdZtn+dF3G8AACtrex/uzsARXV6i1jfyRFFpIVytlykBs7usxuAmEYs113EcE+tEFF3QOyORQuUTm+RtLe77oCYRqxy0GbXqFfC3nTOvyYK1KaZg5PsVpF0t3ueR0Bcu9XuzlflRJlIdV7kNp4cUUTaiNjAifySaYXIhpQTdBepvgPO0p7qvLFQG08Q2sNzOyojiUXACe8WtWnmIKL9pHQA2jHPI0BObzMhuzU9bPoKEnpCL5k5kCFlDlz3cJglFxWBcJiF/gL2ndEDqM6bheiDB4KwIi6X2G2and8tslvNQcSIKLtH5QDJm46IQCwWvxc7a6/MpSwKIrc15Igi0kbkQYqIL5lWiKi7Ezp0j0e8/BK8vvt8bFmkXRF58GDnQZuIgwcntPGE/RHt3VLmMrHzuyWyA9DOuototzpBdxE3HeG62z3PI9mt6UGOKCJtRDOkAGd0LCLqzhMP2ll3QDztnVDfAfGMWOXsop21F82ABZxT5wl7I9oghd+HcsLFjoimO+CMNk3EnbZFHpRriWh2qxMmrgExI6K49nl55t5HKsgRRaSNaB2608I9lc9rNrxxs3uHLlqdd4IBC4hpSMkym9Hj+V7siLK+i5Jfwil1nrA3orVpTnmvRNMdcIb2yqhtUbR3wngBILvVLETTXZlWRMSxGjmiiLQR7SVzyrbeyvwSomhPHYs5OE13HnlnNsqZVDvv3MafT6T8Ek6p84S94TPSovUlIg5QtEQ03Z2wcxuH7CdzIN3NQVTdRU3lQY4oIm34SyZKqK1TGjdA3AbO7tqT7uYg2uDBKbor80uI4AR0Sh4bwv6I1pc4ZbkMf75oVIwdC/n37/fbd+c2jmh13in9OOluDqKllBBdd5s3f4QeiBZqK/pLpiUidSzKcE+7a88dIiIMygHn1Hn+fKLsWOiU6AFArLZGmcfG4zH3XggiG0R6rwDn9CXK5dQiaO8U3QHx6rzTluaR3WosPKJchEANQPzJBnJEERkhUsfilMYNEFN3r1fMcE8tEUl3wDl1XplAVwTtRU74qDUiRaM5pb4T9kc5Wy7CQMVJ75ZI/biTdBepL+HYPZUHIJ7uTqnzouUQFV13ckQRGSGSp130l0xLRIrMEd3LriXKwYPZyZtl2Znai2BMUUSUOTipjSfsjXIplghLN5z0bpHdag4i6c7JzbV3nkcgrnsoxJakmo2T6rxIk5Wi263kiCIyQiRPu5MaNxocmoMy1Nbs5M3BIHNGSZJYsy56QXXeHEh3gtAHkQbmTnq3RGrTaDLJXJygu9cbX8putvai79ymNSLVL9HbeHJEERkhUsfCO3QnNW4i6C5646YlyuTNZmvvlJ3bOFTnzUGk6Esn6U7YH1Em8sLheKSEE+wnUXRX3oMT2jRlH252RDnHCboD4thPfJymdI7ZGZHql+htDTmiiIwQpXFT3oOoL5mWiBRq6yTdAXF2wnDSTCogjkNEuduSE7QXqY13Wp0n7I0o75bo23prjSi6K+/BCQ5AZUS5CDsWAs7QHRCnzjt1vGA2VkjlQY4oIiNEmVmKRJy1rbdIobZO61hEcYg4TXdRDCnemSsTqNsZrruyjTUL/s45pc4T9kaUNo36EnOwwuBQS0TbsRAQK4ePnpDdag6i1K9gkDmAlas6RIMcUURGiBJqq9y5zQnhnoA4TkCndSyiGLGkuzlwQ07Uzlxr3O74rkJma++k5deE/RGlTXNaX8Jtp2DQ3IhyvumJaLtr6YkodivHKX0JtTXmIMpzctvJ7xc3lQc5ooiMECV5s9MaN0CMjsVpM3oALc0zC1F2LOTtnFN0B8Roa5TLkJ2kPWFfKErBHLze+BJEM/txp+V5BMRK0A84p86L0Icrr+80B6DZcN1FidBKBTmiiIwQJXmzE2fKRehYQqF4uKdTZvRE0F15fVE6Or3h250rnZ9m4DTdATGcr1x35bb3BGFlqC8xDxGcgE7UXZQ6z3GK9qLo7rQ6L0oKBys4AMmsIzJGpEGKyN5erRFBd+UyJacMDnkdo4goY5EkMYwpJ7Y1IgzaeH13ku6EveGDArMjyvl77aR3S6S+xCl9OCCG7hynpvIQIY2Kk9oaEZw/VmjjHTKEJPRAhI7FiY2bCCHOTtbd7MTNTtq5jSNCW2OFDl1rRHJ6O6m+E/bG5RIjopwcIubg5L5EBEeUCA4Co+C5gWTZPKe3LDtzzCDCs1pBd0McUWvWrMGYMWOQk5ODoUOH4pFHHlH1OUmSkv71798/qdzBgwcxb948FBUVobi4GFdffTVqa2u1fgyiEyLMljvRkBIh6aMTdVcmbzYbr1eMsF+jEMGIdWKdF0F3Jw7aOGQ72Rez361YzJnRhmbrDjizTRNhvMBxku7KiHKztHdicn5ADIenFSbydA9OfPfddzFnzhxcffXVeOCBB/D2229j0aJF8Pl8WLBgQY+fX7RoEa666qqO332dRoKRSAQzZ85EKBTCU089hXA4jNtvvx1z5szBhg0bIDklE6AJCDNbLjmrY+G6U0i/8eTmAs2NZt+F2J2KHogweGhrA+B3Vp0XRnc4S3eAbCe7k5cH1NWZ927x64o0wWIEIjhEnDypEQ4DkYgJS+MU2yT22boBOHtGPHO9zcnNZfXdrLZG6QxxUreS61NszblhAzDD+DpnhbGa7k3BPffcg7Fjx+KJJ54AAEydOhV79uzB3XffjWuvvRauHhLMHHvssTjzzDO7/PsLL7yALVu24LPPPsOoUaMAAAMGDMDZZ5+NtWvXYubMmdo9DJGACIOUYBBAjtgvmdYokzebhRXCPfUgNxdoNvsm4EzdAfN3inTajJ5yu3OzsMKMnh6Q7WRvzI5SsMIARQ9E6EucqD1P3hwOM+0LCw28+OrVwA9/2PHr4BtnAfdWAA8+CFRWGngj5mB2nXei4xWrV2PQTfE6h1mzgApj6xx3+gJia6/r0rxgMIjXX38dV1xxRcLx+fPno7q6Gps2bcr6GmvWrMHJJ5/cYUgBwFlnnYXBgwfjlVdeyfr8RNeIEBEFOG9GT7ljoVk4smOBOM/rJAMWEGM5KuC8GT2fz/xJYyc6vcl2sj80ODQHpd1qxmReMBjfcdhsO85oTKnzq1cDc+cC+/cnHt+/nx1fvdrAmzEHs9saxzle2+uc66C5dY7r7vebb8d1h66OqJ07dyIUCmHEiBEJx0eOHAkA2LZtW4/nWLZsGbxeL4qLizFv3jzs2bMn4e/btm1LOj+/hprzE5kjSvJmxzRuCsw2Hp04OATM150jyn0YhShOb6fpDpj/zFaY0dMasp3sDw0OzSEnhzmBzNqx0Ik7DnMMr/PRKLB4cWqPIz92yy0Jy/bsiNnLUR3V1ijqXNKcpcF1zirjNF2X5tXV1QEAiouLE46XlJQAQI9JMa+++mpcdNFF6NevHz777DP84he/wMSJE7Fly5aOc9TV1SWdn19j69atXZ47GAwiqOiFGhtZ4pdwOIywxp4Vfj6tzysCkiQhwkcKaH/GVM8ZDsPbUxm15RRlIpEIvN4IwuHkjsbOunu9MFX3UCiCmDsCt1vuoqg9tVetO/tjWpqqPRer82FH6e7xAJGIBDlodlvjLN0BwOuV0GRyG+9xRxCLyYjFUhXVT3uzvk+yneLY9d3ibVpjI1LaL1nTw3vW2Miu7/U6qw8HAI9HQiAANDbKyZECatuxDInr3vX3blft43U+dZ3TGunNN+HZt6/rArIM7N2LyPr1kM85x/a6NzVl2NZk+U40NUntecHs39akW+f0pKHB3DZe7XnTdkQ1NDSgurq6x3LHHXdcx89dJb3sKRnmk08+2fHz5MmTMXHiRIwdOxZ//OMfcfvtt3d7HlmWuz3/fffdh6VLlyYdX7duHfJ0ch9WVVXpcl4z+fzzPgjVhXFx++9r165FNEW8sbutDRf1UEZtOWWZjz/+GCU1Mo4caeryHu2o+/79Baj52mWq7q5CPyTpcLf3aTftm5s9+HJzXo+6A+lrqvZcH3/8MVrQiry8SMqygP10B4AtW0qBlqCpdX5/fRT797d0eY921P3rr4tQvx+m6u4r8SAc7t75oof2rRpOIZPtlB12e7eiUQkffVQGAAiFauB2a+uM6uk927atN5qavKivb8AXX3Qdamo33YH4s9fVNaBPn8RnV9uOZUp1dT727i1A375tqK9v6Las3bTnz/71123Ytav7Z9eCYzZswOkqym1+9VXsb4n363bTPRBw49NP+8LtltHSUpP257N9J7Zs6Ytg0I2WlloUFnbtnLCD7pnWOT3Ys6cQBw/moby8BQcPdp3dVi/d1dpPaTuiXnzxRXzve9/rsdymTZsSZt6U8N/539Vy8sknY9iwYfjoo486jpWUlCSdHwDq6+u7Pf8dd9yBW2+9teP3xsZGDBw4EDNmzEBRUVFa99UT4XAYVVVVmD59Orw223O9rEzC4d3xl+n8888H8vOTC7aoKKO2nKLM2LFjccKpeRg6NLmYnXXfswf4/P34S26G7r0G5OOss7qe0bOj9sEg8LpLhe5A2pqqPdfYsWMxbU4eUslqV90BoKhIQtNBc9uak87MQ0VFcjE76/7ll8BXW8xta/odn4exY1OfTk/tebSPFpDtlBl2frd8PgnhMHDOObL2yZt7eM98PgltbcDEiTJSBMbZWvfycmD/fgnDh8vJtqPadixDPvkE6NdPwgknyBg2LHUZu2p/4ADw8ccSevdGl7ajlkj5+cADD/RY7tQLLsAp7RFRdtQ9GgX8fja5MH26nNJ27JYs3glZBmRZgiwD06bJKfOi2Un3dOucnnz4oYSDB4HRo2UMHpz8d711V2s/pe2Iuuaaa3DNNdeoKhsMBuHz+bBt27aEHVh42Heq/AQ9IXda6ztixAhs3rw5qdzWrVtx0UUXJR3n+P1++FNsf+T1enV7EfQ8t1kUFgJ1in1YvV4vUrZyimNdllFbTnHM4/GgVy9vtw2rHXUvKmLPzjFD96IiT48dmt2093oBv1+F7rxwT+Uy+H5ycz3Iy+teU7vpDrA6HzhCbY3RiNHWdK87P5fW2mt5PrKdssOO71ZhIV+q1fXrkjHdvGexGNqXyrD324lt2qFDXeiuth3LELW68+vbSXvWlwChkA71PRVTp7KdyvbvT50nSpKAigp4pk5NyOZsN929XpYnKBRi9S/twNUs3olAgEnrcgEFBd1v9mIL3TOsc3oQCrH3rVcvc9p4tefUNVWe3+/Hueeei+effz7h+LPPPovy8nKMGTMmrfNt3rwZO3bswLhx4zqOzZo1C59++mlCcs333nsPu3fvxoUXXpjdAxA9IkISNBHuwWhEeGYR7sEMzE6a7LSddjgi1Dezv3szIN2Nh2wnZ2BWEmGexNbtZjsqOQ0zkzc7KnFzJ3ggTVsbUub70xy3G3jwQQCA3NkDwn9fsULsLcU0wuy2hm8SYHsUdS7pgQ2uc5SsvJ27774bkydPxve//33Mnz8fb7/9Nv74xz/iscceg0uxZcTQoUMxaNAgvPbaawCA5cuXY9euXTjnnHNQVlaGzz77DPfeey8GDhyIBQsWdHzu0ksvxcknn4y5c+fivvvuQyQSwW233YaJEyeyEEJCV0So4E4bpABibCPvRN0B8+u82dc3C7Of24nbbQPm6y7KPRgN2U72x6zBIb+e0/twnVO0pIQPDp2ovc/Hxt/RKNNB41WPqamsBFatQvjGxfDVKJJIV1Qwh0BlpQE3YT75+UB9vfF13pGO1/Y6h8WLgX3m1DllTnnR2xrdHVETJkzASy+9hDvvvBN/+ctfUFFRgd///vcJBhHAdsaJKrYzHDZsGF544QU899xzaGpqQmlpKS688EL88pe/TNjpxePx4NVXX8XixYvx7W9/G5Ik4eKLL8aKFSt6TOhJZI8hHUk3OHVGz+Uyf1DsqI5FgdmNutnXNwuz65tjZvQ64febv8242d+9GZDtZH/McohYZaZcL7jdGgiw1TNGVfdgML5ru1P78fx8thy1pcXA8UNlJf7bew7c72zEyJJqFI8oByZNckQkFMdsp7fj2prKSmDOHDSt2Ygdb1YD5eU47Rbj6hxv4/1+8au57o4ogIWAz5o1q9syu3fvTvh99uzZmD17tqrzl5eXJ4WwE8ZgduNitjPGTMzW3qmGFOluDmbrbvb1zUKSzK9zZl/fLMh2sjd8IE6DQ2PhkwqxGHMOGWVHKpcpme3cN4u8POaIMrzOB90InTQFrnMAaL+ngvCYvTTPkX242w3fjCk40P7rGEnnfEgKrBT16tCmkNAKtxvwe+KzsdiwIT7loxeK8/fbYcD1BCXPb57uvT/fgFwf6W6I7kDCNXp94sw6n5sLSDHz6nzpdmfqDpjb1vT7YgPccKbuhL0xO0rBCoMUPZAkc6LRnO4ABMyp89EoS9wMOLfOm93WOLXOKyOSuFPOCKykOzmiiOxYvRoTrx8Z/33WLGDwYGD1at2uh5Hx6w3/kc7XE5XVqzH8UvN0P3PpLLiO1/F6orJ6NUrPMVD39msqte8935l13vWP1Zh6k3l1/vibnKk7Vq/GqVeZp/tpP3Oo7oTt4YOESCQ+UDYCpy/NA8wZmFtpcKgXZuquwyaIlkGpe6rN3PSC6rw5dd5KkWjkiCIyZ/VqYO5c+I7sTzy+fz8wd672A4f262G/QdcTlXYdPIdId0Np10GqNlCH9mvKpD0wdy78R6nOGwpva2pId4LQGmWuRzMG5lYYpOgFDQ7NwYxINNI9vsERX45qBLJM2gPxJdgUfZkackQRmRGNsh0BZBlJeR65u/2WW7RbwqG4XhJ6XE9USHdzMFp3s64pIlTnzYF0JwjdMdohEosBbW3sZ7M3mzETMxxRfCBqhcGhXlAkmjkocz0a5RBpa2NdtwibK5kJ1fnuIUcUkRkbNyZuS9kZWQb27mXlrHg9USHdzcEMHUh7BtV5cyDdCUJ3jI4Q4QMUjwfw+Yy5poiYOTgkByBbjsq3l9cbcgAyjN4cgevOo7GciplObyu0NeSIIjKjulrbcqJdT1RId3MwQwfSnkF13hxId4LQHaMHKTQoZxi9XEaWyREFtG9w5Gc/G6W9lQblemJ0W0P1nWG07sEgCxwXYcdjNZAjisiM8nJty4l2PVEh3c3BDB1IewbVeXMg3QlCd8yKUqDBIfufD9r0JhCIL1PijhinYnSdJ4cIwyynN+nO/jcjEs1lAS+PBW6REJJJk4CKiq7jLSUJGDiQlbPi9USFdDcHM3Qg7RlU582BdCcI3aEoBXNQ7qBmhPbKQbmTlykBxtZ5WaYoQA5FX5oDf/5w2JjlqFbKDwWQI4rIFLcbePBB9nPnXpX/vmIFK6fx9WQjricqpLs5GK17p2smpYsm7RN/pzqvPaQ7QegOHywEAiyRuN7Q4DCOkQNzqw0O9cRI3YNB9l5ZZZmSnlBElDkol6Ma7fS2AuSIIjKnshJYtQo45pjE4xUV7HhlpS7XC5cZdD1RMUn3WH/SPZXusp46VFZC/vsqtPUh7c2o86FS0t0M3aNOb2sIx+D3s+UTshzfzU5PrDZI0RMjB+akexwzdM/Ls8YyJT3hure1GbMclaIv4xiZk85qkw0es2+AsDiVlcCcOdi5ciPqt1Wj9ORyHDt/kn6z1pWV+KhsDuQNGzGsqBp9RpezpRpOmyVv173unxux6+1quCvKceoifXX/5qQ5OPj3jegvV+P4s52tu7xhIzatqUZbSTnGLp6EnHz9dAhcUInXHp+Dvts24sxB1ZAGOFv77X/ciJavqnHM6eXof5m+df7dXnPg++9GjO5TjaJhztb90KqN2PdBNXKPL8fIhfrq/uWJrG0b6KnGwDMcqjvhCCSJDRiam9nATc/BgyyzyCvAOoMUPTHLIeJ0SHdz8PnYbpmRCNO+sFC/a4VC7DoAaQ8wDWprjY2+tIoDkBxRRPa43cCUKThQBkjHAMfqPF5oDbrRetIUSGcD6K3vtYTG7YZ3+hQc8LDO5VQDdD960hSUDAUwQt9rCY3bDWnqFNTFWIPf0gbk6Njgt7Swa7adOQXSVP2uYwncbkQnTcGBY4DcIUB/Heu8LAMtbW40nTQF7nMBWKRT1wW3G+7zpuBAHlBQAIzUua1paWNtTf9RAI7X91oEYTZKR5SetLWxZUouFy1TAoyNUrDa4FBPlI4oWdY3ZxbpnkheHtDYqL8jir9TOTkUiQZQ9GV3UPUgNMGolywWoxk9JVyDSITNQOgJzSwlYtTOL1brVPSG1z+9Bw/K3BJU55MHD3pCgwfCSRjlEFHupuT0hNkADQ7NgjsnlBF6ekF2ayJGtTXUhydiVFsTDsfHglap8+SIIjSBNzbNzfpeh2+B63azzszpKGc2qWMxFqPqPOmeiNGDtrw8GrQB8a2AlZMBekGDB8JJ0ODQHJS66+lcDwZZTh5KmM2QJOP7carzDNLdHIweL/BlmFaAHFGEJvCXTOmN1QMaoCRjRAMny7TrS2cKCtj/RjpEiETd9Rw8kO6JGDV4oNwShNMwapBCg8NElM51PRPF0zKlZGgizxzMmMgj4nZrIKBvongrtvHUJBKaoIxQ0rOBo04lGSMcIpRbIhkaPJiDUZE51NYkY0SdVw7aKD854QSMisyhwWEiymXXerZp1JckY4TdGgqxyXGA6jyH604OQGPx+QCvl/2s5/I8K+pOjihCM4zoWMiQSsbIwSHllohj1ODBih2LnigHD9TWGIsRbTzVd8Jp8K3l9Y7MoXcrGbJbzcEIu5XXd5rUiMN1DwRYe6MXNIGajJFjNSu1NeSIIjTDyJeMGrc4RhpSpHscIwYPbW2UWyIVVOfNwYg2np+bdCecglGROdSmJUN2qzmQA9Ac/P547iC9tI9EWF40gLRXQnZrasgRRWiGES8ZNxb4tQhjInNI92SMGDwoDSnKLRHHyMED1fk4RhpSpDvhJPR+t9ra2ACRdgFNhOxWc1DuOqxXZA7pnhq96zw/r98fX45GGDuRZ6U6T0MbQjP0fslisXiorZVeMr3hu3pFo/pF5lixcTMCvTt0ig5JDQ3azMHIwQPVecJJ6J1EmL9XNKmRiN52qyyT/ZQKIyJzSPfU6F3nSffU6G23hsPxSDQraU/dEaEZeu9m1drKzuvxxBOjE8bsZkUdS2pId3MwypCiQVsieg8eaNBGOBW9kwjTe5Ua5W5WejjXlcvraVIjEbKfzMGoCVTSPRG97VZlJBq306wAmdiEZvBE1tFo3CurJTRT3jV6NnDK3cmoY0mEZpbMQe+Em6R71+hpxNKgjXAqeg/KaclravigTZb12c1KabfSpEYiejpfZZnqfFeQ3WoOXHflbo5aYlXdDWkW16xZgzFjxiAnJwdDhw7FI4880uNnVq5cCUmSUv6bOXNmR7k33ngjZZkrrrhCz0ciUuBy6Zszx6ovmRHoOTjkEW4eDzPaiDg0s2QOOTnGDB5I92T0HDDToC0Rsp2cg97LXpua2P/UpiWj58CcnCFdo2dfwic1XC7a6KUzlFLCHJSrefS0n6zW1ugevPXuu+9izpw5uPrqq/HAAw/g7bffxqJFi+Dz+bBgwYIuP3fhhRfi3XffTTj25Zdf4uqrr8YFF1yQVP7Pf/4zhg8f3vF73759tXsIQjUFBewFa2kBtP4KrPqSGYGehhTp3jWdBw9aDp6jUcqJ1h35+UBDA6ufWutDdb5r9JzFJt3jkO3kLLhzPRJh7b7W7wA5RLqmoID1JS0tAAq1PTcNyrtGT4cILa/vGl4Xg0EWmaNlQnFaXt89+fnMSdrSAhQXa3tuq+quuyPqnnvuwdixY/HEE08AAKZOnYo9e/bg7rvvxrXXXgtXFy1EaWkpSktLE479+9//htvtxrx585LKjx49Gqeffrr2D0CkBTlEzMGIDp10TyYnB3C7404jLTXi36XXS5FoqUgYPGgM1fmu0XMWmwbLcch2ch56OdeVkxrkEEmG7FZzIN3Nga9uCAa1d4jwdAnKFTJEnIIC4OhRqvNKdPUTB4NBvP7660mh3vPnz0d1dTU2bdqU1vmeffZZnHvuuejfv7+Wt0loCM2Wm4OeYf2ke/foVedJ9+7Ry4iNRiknWncY0cY7fbBMtpMz0cvJS5Ma3UN2qzl0jszREtK9e/SavObny89nuR6JRPSyW62cE01XR9TOnTsRCoUwYsSIhOMjR44EAGzbtk31uT788EPs2LEDV111Vcq/z5o1C263GxUVFbjtttsQ4CMJwlD06tCVyd2cPkhJhTJnjl4di9UaN6PguvAcHFpBunePXm2NctDm82l7bjtAgwf9IdvJmVBfYg569SU0qdE9Xm88Zw5N5BmLXm0NTSZ1j15tjTISzWo50XRdmldXVwcAKO4U91dSUgIAqK2tVX2uv/71r8jJyUFlZWXC8V69euH222/H5MmTkZubi9dffx3L/z97Zx4fVXX3/8+dJZOdJARCWIMgq/uGdQNEQFFKRaxVn1bc6v6gPD+r1GpFW8GWWqiPrT76KFatVRFtrVhIFVyq1qcqLhBEAVnCEsi+Tma5vz8ON3MnmUlmuft83q9XXknu3Ln3zHfOPedzvud7vmfZMlRVVeFvf/tb3Ov5/X74VVu7NTU1AQACgQACGqtr5XpaX9eKZGcDwaCEpiago0OG2334hUAA3q4/A/FHMHHOq68X183JAcJhOaGon0yyOwDk5Eiorwfq6uSuzj1duwNAQ4OEYBDw+eSEB56ZZHulztfXd7NPIrbv5Rylzmdl0e6xiNgdCATkyAsatTUFBd2u2wuZZHcA8HoltLeLtqak5PDBNO0eCgHNzWIK1SptjVnfJ7VThEx6tuK2aamges4aGgIIBoOWea6shs8n7B4MAi0tASi+i17bsQRoalL6cECSaPtY5ORIaGkRfYmWTiPq1t5Jqq1JtG9HRD9lZ9PusVDs3tAAdHbKmkWNqXVrMGgN3ZrodZN2RDU2NmLfvn19njdy5Miuv6U4lo53vDvhcBgvvPACzj//fBQWFka9dvzxx+P444/v+v/ss89GeXk5br75Znz00Uc45ZRTYl5zyZIlWLx4cY/j69atQ65OC1srKyt1ua7V+OyzAQgEXGhrq0V+fhAA4O7owAWHX1+7di1CXZ6SaOKdd/BgDnbsKES/fp3w++uTKk+m2H3HjkIcPJiDfftaMWSIcLena/dAwIVPPx1wuLE8kHTSx0ywfX29D19/XYTNm4PYt6+263gitu/tnE2bStDa6kVDQwO+/trf4729kQl2D4eBjz8ugywD7e0HkZUlvNPp1vnq6jxUV+ejtLQdjY1NSZUpE+wOAFu3FqOhIQuHDjVh4EAx5Z+u3VtbPdi0qT+83jBcroNJl0kP27dpuCUjtVN6ZMKz1d7uxhdflMLtltHYWJPWIEX9nFVWfoADLcXYv78Fe/cmFzKdCXYHgC+/LEVHhxsdtftw6eFjvbVjiVBbm41t2/qhoCCAYDBx57FCJth+164C7N+fiz172jB8uDbhOaGQhI8/HggACIdr4PEk59TNBLs3NWVhy5ZiZGeHUFNzqNdzE+3bAWDLlmI0NWWhtrYR27d3JFWmTLC7LAOffDIQ4bCE9vZDyMkJaXLd/ftzsWtXAUpK/GhtbUjqvXrZPVH9lLQj6pVXXsGVV17Z53mffvpp1+ydMrunoPyvvN4X69evx969e3H55ZcndP73v/993Hzzzfj444/jiqlFixZh4cKFXf83NTVh2LBhmDFjRg/Bli6BQACVlZWYPn06vFpuT2BRSkokHDoEHHusjGHDDh9UrRebOXNm/LjNOOd9+SXQv7+EkSNlTJyYWDkyze7btwObN0soLwdOPPFwx5um3Q8eBNxuCXl5wNSpiXfmmWT71lZg/XoJLhdw3nmqGY5EbB/nHFkWg81QCJgyJfGZwkyyOwDk54vZ1EmTZHTlZ06zzn/yCVBeLmH8eBmjRiVWjkyze0UFsH27hIoKGUcddfhgmnbfs0fMjvfvD3znO9Zoa5RoHy2gdkqNTHq2wmHxDITDor9Ny6+nes6OPvo0DAvk4eSTZZSVJfb2TLI7AAwcKGH/fuCokZE1M722YwmwZQtQXCxh+HAZxxyT+Psyyfa7dgGffy5hwADRj2tBQ4PQTz4fMH26NfoSq+H3A5WVQqzOnKlavRKLRPt2AB6PhM5O4Iwz5ISToGeS3QGgXz8REXXiiTLKy7W55mefiTbsyCNljB2b2Hv0tnui+ilpR9T8+fMxf/78hM71+/3IyspCVVUVzj333K7jmzdvBoAe+Q/i8ac//Qn9+vXDrFmzki1uXHw+H3wxsjZ6vV7dHgQ9r20liotFR9DRodoWVPW5vV5v/P1C45zX0SFyIPXvn/xWo5li95ISYaP2du3tXlKS2havmWD7fv1ELqFwWEQsd/XRidg+zjmtrSLRY1aW2NEk2ZnxTLA7INqajg5t25q2ttTrfKbYvaREDCD0aGuKi63T1mh5PWqn9MiUZ6tfP5G3paND/J0yKlv5/R54sjxs03qhuBg4dAjo6EiwHUsA6qe+ialb06S93Xp9idXwesWudp2dwinVa1uTYN/u9wsdrNT5Xp1bMW/jfLsDol62tHTTrWmi1HkrjZETvaauycp9Ph/OPvtsvPjii1HHn3/+eZSXl0eFhcfD7/dj9erVuOiii2KKn1j8+c9/BgCcfPLJyReapE1BgfitZRI8xbGqXJv0RLFNa6t2O+cp3yHtHh9J0r7OK9fJz+fOI72h2F2rwJVwODL5p0Nwh2NQbKNHG0+7UztlMno8W8rg0G5JbI1E6Uu0TCLMNq1vlGjvjg7tNr9Qnh3avXf00q15eck7oTIJre0uy/Yeq+marBwA7rnnHpx11lm49tprcfnll+Of//wnHn/8cTz22GNwqRLOjB49GiNGjMCbb74Z9f41a9agoaEh7o4v//Ef/4HRo0fjhBNOQHZ2Nt566y389re/xZw5c3DSSSfp+tlIbLR+yPx+4bVXX5v0JDtbeMIDASGmtOiEKaQSo6AAaGwUdV6LHdJp98TQuq1paRGduno3H9ITZfCgzKZqsSU8JxuioXbKTPSYyFOuy0mN+GjtiAqFRHSt+tqkJ0pf29Eh6nzX5hdpwL4kMQoKgNpa7doa2j0xtJ5AbWsT7Y3LZc/dCnV3RH3nO9/BX/7yF/z0pz/FH//4RwwdOhS/+93vcM0110SdFwwGEQr1TNr1pz/9CeXl5Zg6dWrM60+cOBHPPfccfvOb38Dv92PkyJH46U9/ikWLFunyeUjfKA9Ze7twiqQb8Ucve+IUFAB1dcJm6Tox7O5lNxK9ZpboiOodxT6KAyndgRaFVGK43SKsv61N1NV0HVGBgBiIALS9ArVTZqKnI4rER4k+1joqx+cTS+xJfAoK9HFEUT/1DnWrOXRfvZLsJlDdUY/T7DjZoLsjCgBmzZrVZ46Cb7/9Nubxl156qdf3LVq0iMLJYqhnOFpaxHrYdODgMHHUjqh0aW+3t5fdSLTu0FnnEyM3V9TPYFDU13Q37aKQSpzCwogjqrQ0vWspds/J0S5nghOgdso81H2JFs51BbZpvaPonPZ2ba5HZ0jiFBaKjXG00E9cQZE4WkfmULcmRk6OWCodDApnVLr2snvAgK45okjmouXAnIPDxNHS7kqnwjxFfaMO6083PxfzFCWO2kmqZZ23a4duJHq08bQ7yXQU53o4HFnapQV8tvpGSxuxTUscPfoSrqDoG/XqlWAwvWupV1BQt/aNlk5Auzu96YgiuqDHQ8YOvW8UGzU2pn8tdiqJo8xwhMPp55hgnqLkUOqnFm0N63ziUEgRoj3qzS+0ilQA+GwlAh1R5qDUTS10K8cLiZOVFdGY6bY1XEGRHFq28XZva+iIIrpQVCR+p9ux0MueHMoWrEp+rnRgh544khSxfbp1noPy5NDK7oFAZFkG63zfKHZvahLtdDqwrSEkglZtmgLzFCVGr1vYJ4ny3bEf7xslt426D04VjheSQ2vdyhUUiaHVGFk9+W3XOk9HFNEFdeOWziClpUV42d1uetkTweuN2KmhIb1rKe/XUpw5Ga06dArY5NDa7rm5zFOUCMrSh1AovShAWY7Ynm0NIdo7otiXJIYyOEyX9naRp0gd3Ubi43JpF82v6FbW+cTQqq3heCE5tHQAynJ0dJvdoCOK6IJ6kKLku0kF9QCFXvbE0KKBCwQi+Sm0EmdOR+sOnXZPDMXubW3pRQFSSCWHVlGAra2RyYb8fG3KRoidUZ6rtCaTVDsplm19J+p/EpvsbCDLrbLTO6nZTWkPCwqYpyhRFL2TTp0PhyMRUdRPiaH1RB7tnhiFhUJDdXamFwXohPECHVFEF9SDlHQ6Fs6UJ48WHQujQ5JHiyhARockj9cb2S1Pizpv5w7daLRoa9QOQE42EBI9SOnoSOECq1cDEyZ0/Tv8ullARYU4TuKzejXOvD5iN8xKzW5OGBwajRZ9iTo6JCdHm3I5HcXuzc3pbbRD3ZocWkUBOsHudEQR3dBykMIOPXFod3PIz08/ClC9FJXRIYmjtUOEJIYWs9hOEFKEaInbHRmkJP1srV4NzJsHubo6+nh1NTBvHp1R8Thst6yD6duNbVryULeaQ06OcNzJcuqJs9vbAb9fOM+5JDJxWOcFdEQR3Uj3IWN0SGootmptTX2pEu2ePOpOONU6z6WoqZFu4kcuRU0NLRKWO0FIEaI1KemnUAhYsACQZfToPpQH9NZbuUyvOxrbjZMayaNEAfr9KUYBgnZPlXTHalyKmhrprhpSL0W1c52nI4roRrpLlRgdkhrqsORUOxYODlMj3Y6Fdk+NdO3OpaipoUQBBoOpRQFysoGQ2KQ0OHz3XWDPnvivyzKwe7c4j0TQ0G7qROWMDkkctc5P1yFC/ZQc6UY2U7emRroTqE5ZikpHFNENxTseDKa2qxKjQ1InnQauszMSHcLBYXIodq+vT+39HJSnhjoKsLMz+fdTwKZGurkAOdlASGxS6kv27dP2vExBQ7sp7SCjQ5InHf0UCjFReapoNYFK3Zoc6ijAVBKWO8UBSEcU0Q1JAoqLxd+pdCzKe5RrkMQpKRG/07F7fj6jQ5JFsXtjY/KrH8LhSMfCOp8cWVkRRwbbGmPRqo3nZAMhEfr1EwltOzuTiDYsL9f2vExBQ7vV1YnfihYgiaPYTLFhMjQ0iOiQ7Gz7bmNvFordm5qST+chy9RPqeJ2R5x3qdR55T12tzsdUURX0nGIsENPHS0cUbR78uTlAT6fcColG43W0CDe5/OJ65DkYJ03h3QGD7Q7IbFxuSIz3Qk/W2eeCQwdCjmeV1eSgGHDxHkkwmG7xfWGJ2E36tbUUffhye7gRrunjlpzJqufmpvFqhePh0tRUyEd/eSUOk9HFNGVdB4yZRbQ7g+ZGRQWCm97KsnKOThMj1QdIrR7eqTjiAoExPNCIZU8it1TyRHlFCFFiB4krZ/cbmDFCgBAj7TbipNl+XKuGeuOym49nFFJ2C0UikxAsU1Lnvx8Ed2cykReba34TbunRqpjNXVUDqOakydVu7e3ix/1yiO7QkcU0RWlcUpl/SsQ6ZhIcrhcqTdOFFLpkapDhIPy9FAvi0yF4mLx3JDkUC+LTBanCClC9EBp05RBdkLMnYvdD61CR/8h0ceHDgVWrQLmztWsfI5i7lxhnyHRdgsPSdxu9fWR5WF2Th5sJqkMzNXLw/r3175MmUC6jijq1tRIdVmkYvd+/ew/r+AxuwDE2Xg8Imlja4qOKDZuqVNSAtT3shFMPLg8LD1SdUQ1NABwU0ilirIsMpji1s9sa1KnpASoPpTaewsLRT9BCIlGHW3o94v2LRF2njgXnz0xB6cG3sWA4D6R2+jMM+0/YtGbuXOBOXOAd9/FVxv2oTarHEMvPRPDRyZmN2VwyD48dYqLgf37hS1HjUrsPU1NkeVhBQX6ls+pdF8WmeikHCPR0kMZa7W2CtsPHJjY+5xkd8o/ojv9+wOtNam/l6RGSQmwLcX30u6powysA0k6RAIBwOPj8rB06N8fOJBiRBTrfOr07w9Up/FeQkhPvF7RHzQ1AYcO9QjWiUkgcDgq1O1GwblTACZuTg63G5gyBfIgoPZrILseGD4ysbcePCh+O2FwaBZKf1BbKyKdElnudejwJEhJCZeHpYqy+qSzUzhEEumXW1qAjo70VmCQw2PkVlGPE3VEKXXeCfqJCxGI7gwcCCCs2kLsnXfibymmOl6y6R0MKEly6zHSRf/+gBu0u9G4XEBpKRKr893sXlocopBKgwEDkFJbU1r1Dkr6sc6nSqp2Z1tDSO8MGCB+1yQ4mXfwoBjAFxRw97B0UAaEij37IhiMREEnOpgkPSkqEg7YQCDxqHLFAag8KyQ1lHqbaFujnFdSwmDLdEi2jW9rE44rSTo81rA5dEQR3en/zmpMvWlC5MCsWUBFBbB6dfSJq1cDEyLnnbp4FnxjY5xHEsL1aup2H3ZmjPNIwoz4JAHbx7D78XMraPc0GPR+anX+lJ/PguuIGOeRhPC9vhrTbk6trRlwSozzCCEAkneIcFCuDcXFwiHS2ZlY3sFDh8T3k5cH5ObqXz6nIknJOURCocgyJToA0yNZR5TS1tDu6TFggKj3zc2J5VNWOwCdkNaAjiiiL6tXw/39eciu7bZwo7oamDcvMgBZvVr8X93HeSQxDtvTezA1u0t7afeUWb0aA27oo87Hsbt7P+2eMqtXI+sytjWGc9ieWYdSbGtod0LiokQb+P1iiV5fKIMUDg7TQx1tkMjAXDmHDsD0UWyoODp649AhkdMoNzf1TTOIQLF7U5NYctcb4XDEAcg6nx5eb2RpYyJ13mmTDXREEf0IhYAFCwC5x0bCkam9W28VU06Hz+uB+rx4Sz1INLS7eRy2vdSb7RcsiGt3iXZPDdZ5c6DdCdEVlysy4DhwoPdzGxrEANLtZp4iLVCceX3ZXZZFgm0AKCvTt0yZgFLflfrcG4rdnTIoN5OsLLE0Eui7ztfUiO46O5t5TbVAqb9KfY5HMOi8SDQ6ooh+vPsusKeXbdtkGdi9G/j97xM77913tS+jE6HdzSMR2+/ZQ7trDeu8OdDuhOhOebn43T2Iszt794rfZWXM2aIFZWUiMqqhQeRkiUddnYhY83qdkbPFbLKzI45UpU7HIhwG9u0Tfw8erH+5MgGlrenN7urXaXdtUOx+8KDIjxaPAweEAzAvD+jXz5iy6Q0dUUQ/lB6iL7YluLdbotfLdGh389DSVrR74rDOmwPtTojuDBokIqNaWuLnK5LlyOAwkd31SN/4fJFIhd6cgIrdle+JpI9Sh3uz+6FDYtDu8zlj9zAroNj90KH40WihUCRiio4obSgoEJFlaudqLJzoANS9yaysrMRll12GUaNGQZIk3HzzzQm/NxAIYNGiRSgvL0dubi6mTp2Kzz//vMd5+/fvxyWXXILCwkIUFRXhRz/6Eerq6rT8GCQVFBdvX4wape31Mh3a3Ty0tBXtnjis8+ZAu+sGtRNR8HiEkwOIH1h46JBIdOvxcJmSligD8z17Yq8sDoUizhI6ALVj8OBINFpzc+xzdu2KPpekT05OJBotXluzd69YIpabG8ltRNJHaT927479ekeHMx2Aujui3njjDWzcuBGTJ09GkbL4NEFuu+02PPLII7jvvvvwl7/8BR6PB9OmTcN+1SLKYDCIc889F1988QWeeeYZPPHEE3jvvfcwZ84cyIlsMUL048wzgaFD4/cQkgQMGwbceCMwdCjkvs4780z9yuokaHfzSMT2Q4fS7lrDOm8OtLtuUDsRNcOGid+7dsVeurFjh/g9fDiX5WnJoEFiyV1ra+yk5Xv2iO8jL4/L8rQkKyuSb2v79p6vt7dH8umMGGFcuTKB4cPF7x07RIROVO7Gd97Bjm/E/7S7tihSqq5OOGC7s2uXcIaXlDgrL5fujqhly5Zh8+bNePLJJ9EviQWN1dXVePTRR7F06VJce+21mD59OlavXg1ZlrF8+fKu815++WV89tlneOmllzBnzhzMmzcPzz77LN577z2sXbtWh09EEsbtBlasEH93G4B0pbZdvhzIykLotysAWXVcQVKdR3WVGH3YXQa67I4VtLum9GZ75f8VK7rOod01IhG7H67zgWWs85rBtkY3qJ2ImoEDxfKNYBD49tvo1xobIzPlFRVGl8zZeDyRAffXX0e/Fg4D33wj/q6oYFSO1iiBtHv29Fwm9s03YlBeWiqeC6IdQ4aI5Y4dHUDdE6uBCRMiL86ahZMvrsDgD1d3OayINmRnR6Kiurc1gUDEIeu0Nl53R5QrxQXT69atQygUwg9+8IOuYwUFBZg9ezZef/31rmNr1qzBMcccg4kTJ3YdO+2001BRURF1HjGJuXOBVat6xCy3lw5F/eOrxOsAvj5qLv595yr4S7vFNg8dKt5/+DySIL3Y/dtfR+xZN0XYvaM/7a4ZcWzvLx2K0IvCpsHvzsUX99DumhKvzvcfipaVEZtuHifqfOcA2l4TemlrqpdH7Ln/tMNtDdv4hKB2It0ZPVr8/vprERECiMH4l1+Kv4cMEZE5RFtGjhQ+8vr66OVK27cDbW1iAMnoEO0pKRE/4XCkjgNAUxOwc6f4e8wYc8rmZFwu4QQc9P5q9L9uHuRuibqya6txwpJ5yPrbapNK6FxGjxYO7f37I7vjAcDWrcIZVVDgrGV5AOAxuwDxqKqqQllZGUq67UE7YcIEPPfccwiHw3C5XKiqqsL48eN7vH/ChAmoqqoyqrikN+bOBebMETsi7duHXYFyfFZ4JrzZbpx4UAiqr78GcNpcDL1pDsq/EeehvFws1eAseWp0s3tTXjneDgt7hr4RyR0//hjoOG0uPBfNwfEttLtmqGwfrt6HT/eXY++oMzGw3I0JzUBVFXDgxLmoeW4OpnrehbuGdteEbnX+m9ZyVJWeiew8N06qB2prD+eVOG0uRi2cA98m1nlN6Gb3Ol85/ukS9gzvEnknNm4EAqfNRf7lczD+EO2uF9ROzmXIEDEAr6sDPvoIOP74yP9uNzBunNkldCbZ2cLhUVUFfP65WKoXDAJbtojXx41jE6YXRx8NvPOO6C6++kos1/v4Y+GALS9nknK9GDk8hCH/uwAxYpghQRZHb71V9Pus/JpRUCAinnbsAD75BDjpJJEjTYmGmjDBeZGXlnVE1dfXx8yLUFxcjEAggJaWFhQWFvZ63ubNm+Ne3+/3w+/3d/3f1NQEQCT5DPS2d2IKKNfT+rq24/TTAQBlYaDwQxl1dUG8917k5eHDZZSWAYGy0yMHw+HDi5STh3Y/zGG75wA4YmsYW7fK+OKLyMv5+cC4iTICHm3sDtD2XRy2/dA6YM+HMvbuDXbteuFyAUcfJyNccjq6LE27a8Nhuw8OAN++L6O5OYgNGyIvjxkjo6AICJzOtkZTDtuzAMDgz8PYtUvGxx9HXi4uBo44UkZgrD3aGjt+n07STsp11b8znYkTgfffl1BXB7z5ZuT40UfL8Hp73/o7GWj3aIYNA/bvl3DwIPD++5HjQ4bIGDRIO7sDtL2anBzgyCOBzZslbN4MKE1Tbi4wfrxMu+uE9PbbyD4YJ1s5AEmWgd27EVy/HvLkyWndi3aPZtQooKZGQmOjcMIqHHGEjOJi+7TxiV43aUdUY2Mj9iWwxfLIkSPh8/mSvXwUUgy3n5JEU/1avPNiHVdYsmQJFi9e3OP4unXrkJubm0px+6SyslKX69qRYFDC7t0FqK3NhssFlJW1QpJa4+7SkA60ezQHD+Zi7948hEIuFBX5MWJEE9atS30g2Bu0fYTmZi927SpEa6sHeXlBDB/ehA8/1KcDoN0jBAIu7NxZgIaGbLjdYQwe3AqXq60rt4eW0O4RZBnYty8PBw7kIRwGSko6IMvN+Pvf9UmErYft29raNLsWtVN68NmK0N7uxs6dhWhuzoLPF8LQoc347DM/PvtM+3vR7hFCIWD37gIcOpQDlwsYMKANktTS63br6UDbR6itzUF1dT4CARf69fOjoqIJ//gHdateDHnnHZyUwHkb33gD1a2tmtyTdo8QCEjYvbsQdXVCtw4a1AaXq7VHfkAt0MvuieqnpB1Rr7zyCq688so+z/v0009x3HHHJXv5LoqLi1FfX9/jeENDA7xeL/IOL4Tv7bziXvaVXLRoERYuXNj1f1NTE4YNG4YZM2agUON09IFAAJWVlZg+fTq8Xq+m17Y7sqxfmCHt3ju0vTnQ7uZAuzsTPW2vRPtoAbVTavDZig/bNGdC28eHdd4YpLw84KGH+jzvuPPOw7EaRETR7rGxc31PVD8l7YiaP38+5s+fn+zbkmb8+PGoqalBXV1dVK6DzZs3Y+zYsV2JPMePH4+NGzf2eP/mzZtxwQUXxL2+z+eLOevo9Xp1exD0vDaJD+1uHrS9OdDu5kC7m4cettfyetRO6cFnyxxod/Og7c2BdgcwdarYSKS6WnhDuiNJwNCh8EydqlmOKNrdHPSye6LX1H3XvFSZMWMGXC4XXnzxxa5jLS0teO2113D++ed3HZs1axa++OKLqOSaH374Ib799tuo8wghhBBCnAy1EyGEkLRwu4EVK8Tf3UNylP+XL2eicpI2uicr37lzJ/7v//4PgFgvuG3bNqxatQoAMG/evK7zRo8ejREjRuDNw9kXhwwZguuvvx533HEHPB4PRowYgWXLlgEAbr311q73XXTRRTjmmGMwb948LFmyBMFgELfffjvOOOMMzJw5U++PRwghhBCiKdROhBBCTGPuXGDVKmDBAkQl8B06VDih5s41rWjEOejuiFq/fn1UXoS///3v+Pvf/w4gkjwTAILBIEKhUNR7H3roIeTn5+NnP/sZGhsbMWnSJLz55psYNGhQ1zkejwdvvPEGFixYgP/4j/+AJEn47ne/i+XLl/eacJMQQgghxIpQOxFCCDGVuXOBOXOAd98F9u0DysuBM89kJBTRDN0dUYnmRfg2Rir4rKwsLF26FEuXLu31veXl5VFh6IQQQgghdoXaiRBCiOm43cCUKWaXgjgUy+aIIoQQQgghhBBCCCHOgo4oQgghhBBCCCGEEGIIdEQRQgghhBBCCCGEEEOgI4oQQgghhBBCCCGEGAIdUYQQQgghhBBCCCHEEOiIIoQQQgghhBBCCCGG4DG7AFZBlmUAQFNTk+bXDgQCaGtrQ1NTE7xer+bXJ7Gh3c2DtjcH2t0caHfz0NP2ih5Q9AHpiZ7aCeCzZRa0u3nQ9uZAu5sD7W4Oets9Uf1ER9RhmpubAQDDhg0zuSSEEEIIsQrNzc3o16+f2cWwJNROhBBCCIlFX/pJkjnVBwAIh8PYu3cvCgoKIEmSptduamrCsGHDsHv3bhQWFmp6bRIf2t08aHtzoN3NgXY3Dz1tL8sympubMXjwYLhczGQQCz21E8Bnyyxod/Og7c2BdjcH2t0c9LZ7ovqJEVGHcblcGDp0qK73KCws5ENmArS7edD25kC7mwPtbh562Z6RUL1jhHYC+GyZBe1uHrS9OdDu5kC7m4Oedk9EP3GKjxBCCCGEEEIIIYQYAh1RhBBCCCGEEEIIIcQQ6IgyAJ/Ph5///Ofw+XxmFyWjoN3Ng7Y3B9rdHGh386DtnQ2/X3Og3c2DtjcH2t0caHdzsIrdmaycEEIIIYQQQgghhBgCI6IIIYQQQgghhBBCiCHQEUUIIYQQQgghhBBCDIGOKEIIIYQQQgghhBBiCHREpcnWrVtx7rnnIi8vDwMHDsSCBQvQ3t6e0HuffvppjBs3DtnZ2TjqqKPw0ksv6Vxa55CK3ZuamnDvvfdi0qRJKCoqwoABA3Duuefik08+MajUziCdOq/wyiuvQJIkHHXUUTqV0nmkY/e6ujrceOONKC8vR3Z2NsaMGYPHHntM5xI7g1Tt3traijvvvBOjRo1Cbm4ujjzySNx7773w+/0GlNr+fPPNN7j++utx3HHHwePxJNVWsG+1B9RP5kD9ZA7UTuZB/WQO1E/mYCf95NH16g6noaEBZ599NkaMGIGXX34ZNTU1WLhwIWpra/Hss8/2+t5Vq1Zh/vz5uPPOOzFjxgy8+uqruOSSS9CvXz/MmDHDoE9gT1K1+65du/DYY4/hqquuwn333YdAIIAVK1bgtNNOw/vvv48TTjjBwE9hT9Kp8wrt7e1YuHAhysrKdC6tc0jH7i0tLZg8eTJycnKwYsUKDBw4EF9//TUCgYBBpbcv6dj9hhtuwKuvvopf/vKXOOqoo/DRRx/h7rvvRl1dHX73u98Z9Ansy6ZNm/D6669j0qRJCIfDCIfDCb2Pfas9oH4yB+onc6B2Mg/qJ3OgfjIPW+knmaTM0qVL5dzcXPngwYNdx5577jkZgLx58+Ze3ztu3Dj54osvjjo2Y8YMedKkSbqU1UmkaveWlha5tbU16lh7e7tcXl4uz58/X7fyOol06rzC3XffLZ911lnyFVdcIU+cOFGvojqKdOy+aNEiedSoUXJbW5vexXQcqdo9EAjI2dnZ8j333BN1/IYbbpAHDhyoW3mdRCgU6vo7mbaCfas9oH4yB+onc6B2Mg/qJ3OgfjIPO+knLs1LgzVr1uCcc85BaWlp17GLLroIPp8Pa9asifu+HTt2YMuWLbj00kujjl922WX46KOPcOjQId3K7ARStXteXh5yc3OjjmVnZ2P8+PHYu3evbuV1EqnaXmHbtm34zW9+wxmNJEnH7k8++SSuvvpq5OTk6F1Mx5Gq3WVZRjAYRL9+/aKOFxUVQZZl3crrJFyu5OUJ+1b7QP1kDtRP5kDtZB7UT+ZA/WQedtJPdESlQVVVFcaPHx91zOfzYdSoUaiqqur1fQB6vHfChAmQZRlbtmzRvrAOIlW7x6K1tRWffvppj+uR2KRr+wULFuBHP/oRjj32WL2K6EhStfuOHTtw4MABFBcX44ILLoDP50P//v1x0003JZ2bIhNJ1e5erxdXXnklHn74YfzrX/9CS0sL1q9fj8cffxw333yz3sXOWNi32gfqJ3OgfjIHaifzoH4yB+one2FW38ocUWlQX1+PoqKiHseLi4tRV1fX6/sA9HhvcXExAPT6XpK63WPxs5/9DG1tbWzcEiQd27/22mt4//33sXXrVp1K51xStfv+/fsBALfffjsuvvhirFmzBps3b8aiRYvQ2dmJxx9/XK8iO4J06vsf/vAHXH/99Tj11FO7jt1yyy245557tC4mOQz7VvtA/WQO1E/mQO1kHtRP5kD9ZC/M6lvpiEoTSZJ6HJNlOebxvt6rhBwm8t5MJx27K/zpT3/C8uXL8cgjj2D06NFaFs/RpGL7jo4O3HrrrVi8eHFUmC5JnFTsriQoHD9+PJ588kkAwLRp0xAIBHD77bfj/vvvx6BBg/QpsENIta2588478be//Q3/8z//g7Fjx+Ljjz/Gz3/+cxQXF2Px4sV6FZeAfatdoH4yB+onc6B2Mg/qJ3OgfrIfRvetXJqXBsXFxV0eRDUNDQ1dHsR47wPQ470NDQ1Rr5PYpGp3NZWVlbjyyitx++2348Ybb9S6iI4lVdsvX74cLpcLl156KRoaGtDQ0IDOzk6Ew+Guv0l8UrV7SUkJAODss8+OOn722WcjHA4nvRQj00jV7l9++SWWLVuGxx57DNdeey3OOuss3Hbbbbj//vvxwAMPoKamRs9iZyzsW+0D9ZM5UD+ZA7WTeVA/mQP1k70wq2+lIyoNxo8f36Mh8vv92LZtW69r5pXXur938+bNkCQJ48aN076wDiJVuyt89NFHmDt3Li6++GI8+OCDehXTkaRq+y1btuCbb77BgAEDUFxcjOLiYjz//POoqqpCcXFx12wTiU2qdh81ahSysrJ6HFdmOFJJaJhJpGr3zZs3AwCOO+64qOPHHXccgsEgdu7cqXlZCftWO0H9ZA7UT+ZA7WQe1E/mQP1kL8zqW/kUpcGsWbPw5ptvora2tuvYK6+8Ar/fj1mzZsV938iRIzFu3Di88MILUceff/55nHLKKQy/7YNU7Q6IB2zWrFk4/fTT8dRTTzGMP0lStf2dd96J9evXR/3MnDkTFRUVWL9+Pb773e8aUXzbkqrds7KyMH36dLz55ptRx9988014PB5MmDBBtzI7gVTtPmLECADAxx9/HHX83//+NwCgoqJC+8IS9q02gvrJHKifzIHayTyon8yB+slemNa3yiRl6uvr5SFDhsinn366/Pe//13+4x//KJeWlsqXX3551HlXXXWV7Ha7o469+OKLsiRJ8k9/+lN5/fr18q233ipLkiSvXbvWyI9gS1K1+4EDB+Rhw4bJgwYNkv/xj3/IH3zwQdfPJ598YvTHsCXp1PnuXHHFFfLEiRP1LK5jSMfu//rXv2Sv1yv/8Ic/lNeuXSv/9re/lXNzc+Vbb73VyI9gS1K1ezAYlE855RR54MCB8h/+8Af5rbfekh988EE5Ly9PvuSSS4z+GLaktbVVfumll+SXXnpJnjJlijxs2LCu/2tqamRZZt9qZ6ifzIH6yRyoncyD+skcqJ/Mw076iY6oNPnqq6/kGTNmyLm5uXJpaal8yy23yG1tbVHnXHHFFXIsn9/KlSvlMWPGyFlZWfKECRPkF1980ahi255U7L5+/XoZQMyfESNGGPwJ7Es6db77ORRTiZOO3detWyefeOKJclZWllxeXi7fcccdcmdnp1FFtzWp2v3AgQPyj3/8Y7miokLOzs6WjzzySPnOO++Um5ubjSy+bdmxY0fc9nr9+vWyLLNvtTvUT+ZA/WQO1E7mQf1kDtRP5mAn/STJ8uHFroQQQgghhBBCCCGE6AhzRBFCCCGEEEIIIYQQQ6AjihBCCCGEEEIIIYQYAh1RhBBCCCGEEEIIIcQQ6IgihBBCCCGEEEIIIYZARxQhhBBCCCGEEEIIMQQ6ogghhBBCCCGEEEKIIdARRQghhBBCCCGEEEIMgY4oQogjefXVV/H73/8+oXMrKiogSRIkScKzzz6b8D1+8IMfdL3v5ptvTrWohBBCCCGWgPqJEGIEdEQRQhxJMkIKAObNm4cPPvgA5557bsLv+cUvfoEPPvgAgwYNSqWIhBBCCCGWgvqJEGIEHrMLQAghVqCsrAynnnpqUu8ZPXo0Ro8eDZ/Pp1OpCCGEEEKsC/UTISQVGBFFCHEc8+fPx9NPP41NmzZ1hX7Pnz8/6ev885//xFlnnYV+/fqhoKAARx99NJ5++mntC0wIIYQQYjLUT4QQo2BEFCHEcdx99904ePAgtmzZgueeew4AMGDAgKSu0dTUhPPPPx9nnHEGnn/+efh8PmzevBkNDQ06lJgQQgghxFyonwghRkFHFCHEcYwaNQoDBgzAzp07kw4XV9i6dSsaGxuxZMkSHH300QCAadOmaVlMQgghhBDLQP1ECDEKLs0jhJAYjBo1CoWFhbjhhhvw4osv4uDBg2YXiRBCCCHE0lA/EUISgY4oQgiJQXFxMSorK1FQUIAf/vCHGDRoEKZMmYIvvvjC7KIRQgghhFgS6idCSCLQEUUIIXE45ZRT8MYbb6ChoQGvvfYaampq8L3vfc/sYhFCCCGEWBbqJ0JIX9ARRQhxJFlZWejo6NDkWjk5OZg1axZuuOEG7NixQ7PrEkIIIYRYCeonQogRMFk5IcSRjB8/Hk8++SSef/55HHnkkSgtLUVFRUXC73/99dfxv//7v7jwwgsxfPhw7N+/Hw8//DBOP/10ZGdn61dwQgghhBCToH4ihBgBHVGEEEdy9dVX46OPPsItt9yC2tpaXHHFFVi5cmXC7x89ejRcLhfuuusuHDhwAKWlpZgxYwaWLFmiX6EJIYQQQkyE+okQYgR0RBFCHElhYSGef/75hM+XZRnBYBButxuSJGHs2LFYtWpVr+8Jh8MIh8PpFpUQQgghxBJQPxFCjIA5ogghBMDvf/97eL1ePPfccwm/57LLLoPX68XOnTt1LBkhhBBCiDWhfiKEpIIky7JsdiEIIcRMvvjiC/j9fgDAEUccgZKSkoTet337dtTV1QEABg4ciOHDh+tWRkIIIYQQK0H9RAhJFTqiCCGEEEIIIYQQQoghcGkeIYQQQgghhBBCCDEEOqIIIYQQQgghhBBCiCHQEUUIIYQQQgghhBBCDIGOKEIIIYQQQgghhBBiCHREEUIIIYQQQgghhBBDoCOKEEIIIYQQQgghhBgCHVGEEEIIIYQQQgghxBDoiCKEEEIIIYQQQgghhkBHFCGEEEIIIYQQQggxBDqiCCGEEEIIIYQQQogh0BFFCCGEEEIIIYQQQgyBjihCCCGEEEIIIYQQYgh0RBFCCCGEEEIIIYQQQ6AjihBCCCGEEEIIIYQYAh1RhBBCCCGEEEIIIcQQ6IgihBBCCCGEEEIIIYZARxQhdqG2Fpg/Hxg8GJAkYMoUs0tECCGEEGJtqJ8IIcRy0BFFiF34r/8Cnn8euP564JlngLvuMvb+a9YA55wDlJcDubnAkUcCN94IfPttYu9fuVIIwGefjX+Ox2NNgdjRAZSUiPLff3/886ZMEZ+hL+bPF9fasyf263v3iutIkviu4xEOAy+8AEyeLAS2zyd+n3468JOfAIcORc7dsEFc7xe/iL6GJImfOXOSL2tLC/DQQ+L+paWA1wsUFQEnnyzuv3lzz/co5Zg/P/7nIoQQQrTCbP0EAKtWAVOnij4yJwcYPTrxfpD6KQL1E/UTcQx0RBFiF9atA849F7jnHuA//gOYPt24e//3fwPnnw/U1wP/7/8BK1YAM2cCTz4pOs29e40rixm8/LL47KNHi88sy/re76mnxD1GjgSeeCL+eVdcAfzgB0BTE3DzzcDvfw/ccANQVgb87neJOwkB4K9/Bd55J/HzP/8cOOooUR9yc4Vw+p//Ae67Dzj6aPEZjjoK2LYt8WsSQgghWmOmfgKAm24CLr4YKCgQzpiHHwYuvxyorja2HGZA/dQT6idCAAAJuJ4JIZZg/36guNicey9dCgwZAvzzn0B2duT4mDHAggXASy+J307liSeAceOAJUuACy8E/vEP/YSsLAuxNmOGcPbddhuwdauwtZpPPxWzo5MmAe+913MmsbERcLsTu+eECUJ03X478K9/9X3+wYPAeeeJGb3168WMXnc6OoTYdnG+gxBCiImYqZ+eeUY4Of7wBxGRlWlQP0VD/URIF6zhhFgdJbRXloGnn46EAq9cKV7/+9+Bs88GBg4UocXl5WLm75//1K4MDQ0itFrthAKAoUPF79xc7e6l5t57I5831o9iAz355hvg7beBK68UUWEDBvQ+y5Yub70FbN8u7nf55SJc+3//t+d5X30lfp9xRuxw9n79gPz8xO5ZXi4E20cfAS++2Pf5v/61iIL71a9iiyhA1JXbbxezkoQQQojRWEE/3X8/cMwxESdUc7NYFqY31E/UT4RYHEZEEWJ1rrtO5Gb64Q+BM88Efvxjcfy000Qo8AUXiBmZ228H+vcXM3/vvQd89plY6w4I0VNXl/g9CwqEKFOYMQN45RWRZ+Hqq4HCQmDjRnHPo44CLr008Wu3tESvve+NuXNFOHd37r9fzHKVlSV+31R54gkxK/XDHwpR8x//ATzyiPgMpaXa3+/xx8XM7Zw54ju44AIhoH/5y2jBdMQR4vff/gYsXChyG6TDHXeI0PCf/lTMWnq98c996SUgK0uEthNCCCFWxGz9tHUr8PXXYmner38tcgLt3y8cDeedJ/6vqEj82tRPvUP9RIi9kAkh9gCQ5SuuiD52223i+IEDvb93xw5xXqI/Tz0V/f6DB2X5u9+VZZcr+rwLL5Tl5ubEyv/UU4nde/Lk3q+zeLE47yc/Sey+6RAIyPKgQbJ8/vmRY59/Lu7/0EM9z588WZbd7r6ve8UV4hq7d0cfP3RIln0+Wb7ppsixv/5VnLt6dc/rzJ4tXsvKkuUzz5Tl22+X5VWrZLm+vue569eLc++/P/o4IMvTpom///u/xf8rVsQva3Oz+P+YY3reIxAQdUX909oafc6GDeL98+f3fD8hhBCiNWbpp1dfFccGDpTlggJZXrpU9OX/+Z+yLEmyPHiwLNfU9F1+6qcI1E/UT8QxMCKKEDuj5Dx48UUx8xdvFmbQIKCyMvHrTpwY/X9uLjB2LNDaKqKf+vcH3n9fJHScNw/4y1+iI6h64847gWnTYr82c2bv7125Evj5z0WCyaVLE7tfOvztb2L28sorI8eOPho48UQx03fbbdre75lnAL8/+n7nnSdmLp94Qsy0qXn5ZTEL98wzwAcfAO++K477fCJn1wMPJJ7nABB1aMUKMWM6f76IfOtOY6P4Heu1jRtF8no1P/+5WCKgkJMjfuu1nJMQQgjpCyP0U3Oz+F1TA6xdK6LLAdGXFxaKXdh++1vRVycC9VN8qJ8IsR10RBFiZ26+WXT2t9wiBMp3viO2wL3ssui15dnZIjw9FWRZ5EzYswf48stIB/i974kEkNdeCzz2GPCf/5nY9SZOjF8WSYr/vrVrxb0mT45sZdwboZBIChmPkhIRHt0bjz8O5OUB48eLXAcKM2cKkfLBB8LmWvHEEyJMv1+/nvd77jnxHSh5uQAhnG+6Sfy0t4vvZ906IWx/9SuxFfCiRYnf3+MRCUXnzRNCNZY4VgRUU1PP18aOjQj2L7+MLTT79Yv+TQghhBiNEfpJcRwMHhxxQilcdZVwRL31VuLXo36KD/UTIbaDjihC7ExxsejM339fdGDvvQcsXix+nnkGuOQScV5foqI7/fpFBNR774mZoptv7jkLM2+eEDfr1yfuiEqFTz8V9xozBnj11cSir3bv7j3R4/r1QnTGo7paiLdQqGeEmMITT2gnpD74ANi0Sfx95JGxz3nqKeDuu2O/lpMjZtNOPlnkhpg4USTpTEZIAcBFF4nPtHw5cOONPV8vKABGjAC2bBHiTaknymuKSO6e2F6BQooQQojZGKGfhg0Tv8vLe56nHEsm/1QqUD8JqJ8IsRx0RBFid1wusfPHGWeI/3fuBE44QSRNVIRUX6KiO089JUKLATGLBAhB0R3lWDCYUtETYudOsdtKQQGwZo2YpUqEvsLpjz229/c/+aT4fCtWxE5k+eijwAsvCMFRUJBYmXpDSer5xz/GFor33y/K9LOf9T2bOX68ENnV1amV5de/FvUpnmi76CKRZPWPfxTh6MkwaJCIsiOEEELMRG/9dPTRYgJv9+6e5+3aJX7rmTSc+klA/USIJaEjihA7c/Cg2A5XzfDh4tiBA5Fj6eQ4UP5+9VURaqwWMsq2uJMmJVPqxKmvF2v8m5vFDjcjRiT+3nSXIz75pAjz7i3S6803gT//WUSFpUNzsxBlZ50lthyOxbffip19/vEPYPp0EXoeDotZzu68846YZT3hhNTKc/rpYunlH/8IHH98z9d/8hPg2WdFecaPF+XuTjyx1NYmBHi/frFniQkhhBC9MUI/5eQA3/++WA734ovib4WHHxa/L7gg6aInBPVTBOonQiwJHVGE2Jkf/1h0SjNnCpERDAJ//Svw1VfR68vTERXHHANcfLHYcvb444VoKCkB/vlPse6+oiJ2CLIW3HADUFUF/OhHIuxaCb1WOO20yDa8WlJZGREu8Zg1S8x0PvFEtJCSZZH3IRZTpkRmXtU8/7xIBH/xxfHvN2+eKM8TTwgh9eWXIoT8zDPFdUeMEKHen30mvpesrPQSki5dKvJnfPxxz9fKysTs6pw54t4zZwJTpwIDBwINDaL+vfiimKHsLn4/+kice8UVQpwTQgghRmOEfgLEBN4//gH88IdiCdmYMcCGDaKPPO44kaNKD6ifIlA/EWJJ6IgixM788Idi1uWZZ8TsXm6uWB//P/8DXH21dvd57jng1FPFLM4vfiEE25AhQuj8/OfCMaUH+/eL33/8o/jpzlNP6SOknnhC/J43L/45ubki5P2ll4AvvhAh+ICYZYsXkn3//bGFlBJWPndu/PtVVIj8Ba++Chw6JK7z0ENC9P3xj2IGNxQS38u8ecDChX2Hz/fG2LFCIP7hD7FfP/FEYPNmkaj+r38FHnxQJODMyxN18KqrxO41EyakXgZCCCFED4zST+XlwIcfAvfcI5wmdXViudrChUI/6bUDGvVTBOonQiyJJMtcbEoIIYQQQgghhBBC9MdldgEIIYQQQgghhBBCSGZARxQhhBBCCCGEEEIIMQQ6ogghhBBCCCGEEEKIIdARRQghhBBCCCGEEEIMgY4oQgghhBBCCCGEEGIIdEQRQgghhBBCCCGEEEPwmF0AqxAOh7F3714UFBRAkiSzi0MIIYQQE5FlGc3NzRg8eDBcLs7bxYLaiRBCCCFqEtVPdEQdZu/evRg2bJjZxSCEEEKIhdi9ezeGDh1qdjEsCbUTIYQQQmLRl36iI+owBQUFAITBCgsLNb12IBDAunXrMGPGDHi9Xk2vTeJDu5sHbW8OtLs50O7moaftm5qaMGzYsC59QHqip3YC+GyZBe1uHrS9OdDu5kC7m4Pedk9UP9ERdRglpLywsFAXR1Rubi4KCwv5kBkI7W4etL050O7mQLubhxG255Kz+OipnQA+W2ZBu5sHbW8OtLs50O7mYJTd+9JPTHpACCGEEEIIIYQQQgyBjihCCCGEEEIIIYQQYgh0RBFCCCGEEEIIIYQQQ6AjihBCCCGEEEIIIYQYAh1RhBBCCCGEEEIIIcQQdHdEffPNN7j++utx3HHHwePx4Kijjkr4vU8//TTGjRuH7OxsHHXUUXjppZd6nBMIBLBo0SKUl5cjNzcXU6dOxeeff67lRyCEEEIIMRTqJ0IIIYQ4Fd0dUZs2bcLrr7+O0aNHY8KECQm/b9WqVZg/fz4uvPBCvPHGG5g2bRouueQSrFu3Luq82267DY888gjuu+8+/OUvf4HH48G0adOwf/9+rT8KIRFCIWDDBuD558XvUMjsEhFCCHEQ1E+EEEIIcSq6O6Jmz56N3bt3Y9WqVTjhhBMSft/dd9+Niy++GEuWLMHUqVOxYsUKTJ8+Hffcc0/XOdXV1Xj00UexdOlSXHvttZg+fTpWr14NWZaxfPlyHT4NIQBWrwYqKoCpU4HLLhO/KyrEcUIIIUQDqJ8IIYQQ4lR0d0S5XMnfYseOHdiyZQsuvfTSqOOXXXYZPvroIxw6dAgAsG7dOoRCIfzgBz/oOqegoACzZ8/G66+/nl7BCYnF6tXAvHnAnj3Rx6urxXE6owghhGgA9RMhhBBCnIolk5VXVVUBAMaPHx91fMKECZBlGVu2bOk6r6ysDCUlJT3O++qrrxAOh40pMMkMQiFgwQJAlnu+phy79VYu0yOEEGIK1E+EEEIIsQMeswsQi/r6egBAUVFR1PHi4mIAQF1dXdd53c9RzgsEAmhpaUFhYWHMe/j9fvj9/q7/m5qaAIjknYFAIN2PEIVyPa2v29kJbNoE1NRI8PmAMWNkDB6s6S1sjdZ2l95+G57ukVBqZBnYvRvB9eshT56syT3til51/uBBYMsWCW1tQP/+wMSJMnJyNL2FrdHL7u3twKZNEmprgdxcYNw4GQMGaHoLW6OX3cNh4KuvgD17JEgSMGKEjNGjAUnS9Da2Ri/b63VNvdFbPxmpnZTrqn9rRVOTaNMaG4F+/YAJE2T066fpLWyNXnYPBIDNm4H9+yVkZQGjR8sYNkzTW9gePWwvy8COHcC330oIhYDBg2WMGwe43ZrdwvboVedra4GqKgktLUBJidCteXma3sLW6GX3jg7R1hw8KCEnR4yRBw3S9Ba2Rk/tlMx1LemIUpC6qW35cNSJ+nj3c+Kd150lS5Zg8eLFPY6vW7cOubm5KZW3LyorKzW7VjAooaqqBO3tka9wwwagoqIJAwe2a3YfJ6CV3Ye88w5OSuC8jW+8gerWVk3uaXe0rPP19T58801RVEDaunVhTJhQi6wszt6r0dLunZ0ubN7cH52dkQDat94CRo9uQHGxv5d3Zh5a2l2WgW++KUJ9va/r2HvvAQMHtqOiokmz+zgFLW2v0NbWpvk1jUIv/WSGdgK0/X5bWz2oqipBOBz5jJWVMsaPr0NeXlCz+zgBLe0eCknYsqUEra0R3fr228CwYc0oL7fvs6YXWtp+164C7N8f/XwWFnZi7Nh6Tmx0Q0u7NzZmYevW4ijdWlkZxoQJdfD5uHpCjZZ2DwRcqKoqQUdHxNP61lvAqFGN6N+/Q7P7OAE9tBOQuH6ypCNKmbmrr69HWVlZ1/GGhoao14uLi7tm/9Q0NDTA6/UirxeX86JFi7Bw4cKu/5uamjBs2DDMmDEjbhRVqgQCAVRWVmL69Onwer2aXPPTTwGXS0J2NnDccTIOHAB27JDgcgFnnimjoECT29gare0u5eUBDz3U53nHnXcejmVElKa27+gANmyQ0K8fMGSIjBEjgM8/FzNMpaXAqafGWC6ZgejR1nz4oQSPB8jPB445RsbOnUB1tQSvF5g8WUZ2tia3sTV62H37dkCWRZt+7LEygkHgyy8lyLL4f8gQTW5je/SwvYIS7WMn9NZPRmonQPvvNxwG3n5bwgkniKjaceNkfPWVhEOHgLw84KyzZEaJQJ/n6osvhIMzKws4/ngZtbXAN9+IaM/TTpMRI0AvI9Ha9jU1QDgsYehQEfmXmwts3CghGASOPFLGmDEaFNoBaG33QABYv17CiScC5eXAEUfI+PJLEYVZVAScfrpMJyD0aWv+/W8JbreI4D/2WBnV1cCuXeLYWWcxIg3QVzsBiesnSzqilNwGVVVVGDduXNfxzZs3Q5KkrmPjx49HTU0N6urqovIcbN68GWPHju010afP54PP5+tx3Ov16vKFaHntujrgwAHA4wFOPRUoLhaNXGenOP7118CkSRoU2CFoZffQWVPRUToUvkPVkNDT8SFDAoYOhWfqVMY7H0Yr23/5pfhdWgqcfDIOC1cxm9rQABw6JJ4BItDK7vv2CftmZQl75+UBAwYAfr84vn07cOyxad/GMWhld79f2NbjAY45BhgxQhwPhYCtW4FvvgGGDWMzo0aPvlsvLaAneusnM7STltf/+mvxfOXnA9/5DuD1Cg21YYOY8NizBxg9Ov3yOgWt7N7YKPZ08XiEPi0tBQYPFoP16mrRrp1+ugYFdhBa2F5Z3u3xAEccAYwdK467XMAnnwDffguMGgVOKKnQqs5v2SLsX1wMnHKKsPl3viPampYW4SAcOjT98joFrex+8KAYE3i9wt6FhUBZmWj3a2uBbduAE0/UoMAOQa++O9FrWjJZ+ciRIzFu3Di88MILUceff/55nHLKKSgtLQUAzJgxAy6XCy+++GLXOS0tLXjttddw/vnnG1pmI/n6a/F7+HDRwClMnCgG6DU1QIyJTpIme/a58cU1KwAAcvdlDxD/V9++nKNDjWlrE0IVAI4+OpIfJy9PCCtAiFiiPYpdR49G1wySywUcdZT4e9cu8f0Qbfn2WyAYFLlrhg+PHB89GsjJETm7du82rXjEwlA/xScUEg5eAJgwQQxUAPFbye3+zTfcb0QPvvlG/B48WDihFCZMEJKprk4MIIm27NsHtLYCPl/ECQUAQ4aIfEXhsBiYE23x+4U+AoReUvz6OTnAkUeKv7/6KvbeRyQ9FN06cqRwQgFi3KDo1r17geZmc8pGeqJ7RFRbWxvWrFkDANi5cyeampqwatUqAMDkyZMxYMAAXH311Xj66acRDEbW5t9333245JJLMGrUKEyfPh1/+ctfsG7dOvz973/vOmfIkCG4/vrrcccdd8Dj8WDEiBFYtmwZAODWW2/V+6OZQnOzcDQBPWft8vKEd333bjGQUTupSHrIsuisW0+bi5rfr0LZL/8z4h0BEB48FJ/8aDnqxs7F4HCk0yHps2OHsP+AAegRuj9qlBhYNDWJmY7+/U0poiM5dEjY1e0WHbqa4mLxfRw8KNqaCRNMKaIjCYWETQH0SEzudos6/+WX4rmoqDCjhMQoqJ+0Zc8eETmem4seG7sMGSIGhsrEh9oBTNKjrU04RIDIIFwhO1vYWiTSBjfB0BjFAThypIiKUjNmDPDhh8JhMnZsz9dJ6nz7bSQaSu14BcR38c034rmoqRHROkQbGhqEU1uShFZSU1goVk7s2yfam2OOMaWIpBu6Nzs1NTW4+OKLo44p/69fvx5TpkxBKBRCqNsU1MUXX4y2tjY88MADWLZsGUaPHo0XXngBM2bMiDrvoYceQn5+Pn72s5+hsbERkyZNwptvvolBDk2Nr8yCDxqEmGtcKyrEOXv3igiprCxDi+dY6urErJLHA/S/di5w+Tno2mJnzRq4ps9Aw3o3OjtEI8f8LdoQDkfqvBL9pMbrFc7XnTvFDx1R2qHM5g0dGrsdGTlSOKJ27QLGjaPzVSv27xeD5Zyc2MtNhw0TIf8tLXS+Oh3qJ21R2rSRI3vuPClJQj9t3iwGkXREaceePWIyqbQ0EqGgpqJCDAwPHBDRntwJVxsaG8VkkssVWd6tZsAAsUS1pUU4X2OdQ5JHliNtTSzd6naLfnz7dqFb6YjSDsXugwfHXm46cqQYo+3ZIyZQ6Xw1H92HDhUVFZBlOebPlClTAAArV67s2qlFzRVXXIGvvvoKfr8fmzZt6iHIACArKwtLly7F/v370d7ejg0bNuBYhyYtkeVIEE687W6LioR/JByOzECR9FHsPnjw4YZLvfzurLMgedxdwlUVKEXS5OBBkUPC54s/U6rYff9+LqnQilBI2BOI39YMHCg6+kCASyq0RGk/hg7tOVgGRPujRHOwrXE21E/a0doqZsslKX5elmHDxOuNjeJ8og179ojf8fqS/HyxTEyWxSQq0Qalfxg0KP6ktPKdsC/Rjro6kW/O6xW2j4Xi9KupERqKpE84HGk/4rU1/fuLII5QSDi+iflwDttGqBu3gQPjn6cMUtiha4O6cest0kmxu+I8IemjiKMhQ2IPygHhfM3NZceiJYpTLzc3/hJfSYpE7LCt0Qa1Uy+RtmbfPuaYICQRlL5kwID4g/KsrMiEB9s0bVCcei5X/EE5EGnvaHdtUE9c99aXKK/V1orxBUkfxe7l5fEjxfPzRXSgLDNoQCvUE9fdl0Oq4RjZWtARZSOUxqq3xg2IPGS1tSJhHkmP2tpI49bbMpiCAvETDtMhogVqO3bP59EdilhtUdqavpaYKt/L/v3i+yLpodixsFC0JfEoLRWD5s5OkcuLENI7iUwmARykaI3Slwwa1PsymPJyMbnR0CCW55H0aGhIbOI6J0dEowF0iGiB2rHUl25lW6MtarvHm7hWXgdENJoqtSIxCTqibISSpLyv9cS5uRFPO5fMpI/a7r01bkAkQoSOqPSpqxOdhM/XM0l5d5Rn4uBBOkTSJRyOtBt9pYopLhbfTzAovi+SHom28ZIU+W6U9xBCYtPRITZ6kaS+n61Bg8R5TU10iGhBom2azxeJvqV+Sh/F7gMG9J2/Ua2fSHo0NooJIo+n7/yNynihtpZpJdJFliN1vi/dWlgolueFw5zIswJ0RNmE1tZIeHNvIYcKygwIO5b0URq33maVFJSw/oMHuWQmXdRCqi8HYFGRiBAJBsVMIEmdhgZhx6ysSD7+eEhSpM7TIZIe6omDRNoa5RzanZDeUZ6RoiIRIdIbXm9k4oP6KT38fjEwBxLbDY+6VTuS0a3KOYcOcSIvXZJxAObni4i0cFg4o0jqNDeL9sbtjkT49QZ1q3WgI8omKB1zSUliWf7VHTodIqnT1iZ2FJGkxByAxcVCyAYCdIikSzKDcjpEtCMZByDAwYNWNDSIdsPrjZ+XS01pqfh+WloYuUFIbyQzKAeiJ5RI6ih279dPRDz1BR0i2tDZGdGfiTgACwvFxiOhEB0i6ZKMblWfR92aHkoUZWlpYjs4U7daBzqibIJ6cJgIxcXCYeX3ixBzkhpKI6U4mPpC7bBiA5c6HR2ReptonWfHog2pDtqampjsNB2SdQCqHVYUsYTERpYjyy+SHRxyIi89kh2UFxZGIpvr6/Url9NR7K44mBKB+il9AoFIvU1Ut3ICVRuSbWv69xcOq7Y27pBqNnRE2QBZjuRfSbRxc7ki4Ymc4UgdxXaJREMpKN8R7Z46iu369Yu/w1F3lPX4jY1MQJgqgUBkKUWidV69hI95olJHsV0ybY1yLtsaQmLT1BSJNOxrqbFCUZGYyAsExJIPkhpKu5SoblVHNrNNS51UdKuin2j31KmrE+O1vDyx5C4RlO+otZWbS6VKOBxxACZa5z2eyEQe67y50BFlA5qbhSDyeMQMR6IoHQsHh6mj2K6vpINqFAdgfT3Dy1MlFbvn5IgfWeZsaqoo4fy5uYnPpAKROs+2JjXUQiqR/AYKtDshvaM8G8XFiUUaAuI8DlLSo61NRMi6XH1vNqKGbVr6pKNbGxuZODtVUrG71wsU5oXQ/4sNaPvf54ENG/gFJEMohJa/bcCg9c+jrGoD8nMStx3bGmtAR5QNSEVIAXzI0qW9XfxIUnJCKj9fdC6hEJdFpoq6zicDZ/XSQ7F7Ms4Q9fm0e2o0NYn2wusV7UeiKH2C0lYRQqJJtU3jRF56KHbr108kEE4U9UQel0UmjzqKLxn9lJvLibx0SamtWb0a37msAqfdNRXFN10GTJ0KVFQAq1frUURnsXo1UFGBwjlTceJvLsMpdyRnO46RrQEdUTYgVSFVVCRmo/x+roFNBcXuhYWJJYhXkCQ2cOmgFlIcPBhLuo4oJXqTJIfa7slMNqijZFnnCelJum0an6vUSNXuBQWiXQsGOZGXCord8/ISSxCvhhNKqRMORyLKE67zq1cD8+bBe2BP9PHqamDePDqjeuOw7bAnddspjtrWVuY3NRM6omxAqtEh6pBoiqnkSSXMVoEiNnUaGsSsXLLLwwAui0yHVJeHAeJ7ys0V3xt3i0yeVAdtAJ2vhMRDWR6WbFQzIM6XJPH+tjY9SudsUm3TOJGXHunoVvYlqdPYKDRUVpZwAvZJKAQsWADIMnrMPSmhgLfeymV6sVDZrgdJ2M7rjUzkMQrQPOiIsjgdHZHlYck6ogB26OmQzuCQdk+ddOyuLIsMh5lkNllSXR6mwDqfOunUeaVfoJAiJJpUl4cB4nwluTmfreRIJ6pZ/R72JcmT6sS1+j3KZCBJnKT78Hff7RnNo0aWgd27xXkkGg1tx7bGfOiIsjhKdIESrpwsyiygshMWSQy1IyPZmVRApUvQYgAAuh9JREFUCFhJEssiGfKZHEqdT0VIAZHvi5E5yaG2ezLLwxTY1qRGR4doJyQp8V291Ch2b25mFCAhapJeKtMN9cCcJI7SB+TmJr7rrRr2JakhyxGbpTqR53KJZZGMAkwOxVmdsG7dt0/b8zIJDW3HtsZ86IiyOIoASsUZAkQGNhykJEdTk+jUs7IS34ZVjdsdiSqhiE0Oreo87Z4cSkecijMEoAMwVdSTDclGbQBisKdEATKnCiER0m3TlPdxkJIcir3S7cNbW5lzMBlaW0VUs9ud4PKwbrhc1E+pknSdLy/X9rxMQkPbqdt4RgGaAx1RFiddIcVBSmqka3eAnvZU6OgAOjtFdEhBQWrXoN1TI10HYGEhowBTgW0NIdqjjg7RwhHFQUriKH1JqnZXTwCyTUscdX1PJaoZ4IRSKgQCkQiyhOv8mWcCQ4fG/6IkCRg2TJxHotHQdsoEYDDITb3Mgo4oi8NBijmkOygHOJuaCulGhwBcqpQK6qWoqbY1bnfEeUgRmzhatvG0OyECdXRIKjnvAA5SUoW61RzSdQCq30u7J456KarXm+Cb3G5gxQrxdzeHiqz8v3x56kLYyRy2nQygR6r3JG0nSZGE5azz5kBHlIVR5w5RHpRU4CAleTg4NAct7J6TI2ZUGQWYOM3NYsbf601tKaoCRWzypLuMBaDdCemO8iwokZqpwEFK8gQCEacdHSLGorUDkFGAiZGy3efOBVatAgYPjjocHjxUHJ87V5sCOpG5c+F/dhU6+kfbDkOTtx3HauZCR5SFURq3/Pz0nOLs0JNDi+gQgEuVUkELIQWwY0kWLZwhAPNLJEtHR2R7eS0mGxgFSIiAfYk5KJM/yoRQqtDuyaHFUlQgMt5gFGDipGX3uXOBzZu7/v3w52vw7Vs76IRKgNrJc7H+kYjtsGYNsCN523GMbC50RFkYrYQUE5Ynh2Inr1eE2qaKekkAG7jE0KrOK4N6RkQlhhYh/UBk8EC7J4ZWkw3qKEDFiU5IJqNVm8ZBSnJorVtbW4VThPROW5uwk8uVen5NIHpShP14YqRd51Wdf93Es9DYwuV4idDYCMClstVZZ6UkpLgM2FzoiLIwWnXoubmAxyMGKZzh6But7A6wQ08GdeRYOtEh6vdzUJ4YWtV5RQArSedJ77CtIUQflOcg3ShP9iXJoUV+TUA41rOzxd+0fd9osRRVQenH2Zf0TTAItLSIv7XoxwHaPVG0chzl5QkHbjAYSTpPjIOOKAujNEYcpBiLInrSdYaor0Eh1TdK3czLE47TdKCQShxZ1q7OezyRKELW+b7Rsq1R6jztTjKd9naRq0iSUk9UrpCfL67T2ckl9omgR5vGfrxvFBtpqVtp975R6rvPJ360oKWFq1cSQav66XJF+gnqJ+OhI8qiqD2z6YTZKnCQkjiKjWh3Y9HS7vn5kRmO9vb0r+dk2trE7lIul3ACpgsHD4mjZZ3n4IEQgfJcKf1AOrjdkXaR/XjvyHIkOkTLNo127xs9+hLavW+0dLwCYjJPlrl6pS86O7WNuqduNQ9DHFFbt27Fueeei7y8PAwcOBALFixAex+jw2+//RaSJMX88XVzO8c6Z9CgQXp+JN1ROnOfL72Ejwp8yBJHj5klznD0jZZCSj3DwTrfO+pBW7oh/QBFbKKEw9oO2uj0dh7UTqmhZV+ivg6frd5pbRXtmtud3u6rCtStiaNHJL+Sd4rER6+2hnW+dxS7a9HOANStZpLmApi+aWhowNlnn40RI0bg5ZdfRk1NDRYuXIja2lo8++yzcd9XXl6ODz74IOqYLMs477zzMHXq1B7n33LLLbjsssu6/s/SwntjIlo3bnzIEqOzU+QqAtIP6QdEI+nxRHYg0er7dCJ6dOhNTeKnrEybazoRDtrMobVVzHx6PNoO2pT8XDbvAjMeaqfU0UM/7dvHwWFfqO3OSQ3jCIUiETRa1HmvV+Tn6ugQti8uTv+aTkXrtiY/HzjUzjrfF0pbTN1qf3R3RD322GOor6/Hxo0bUVpaKm7q8eDyyy/HXXfdhfHjx8d8n8/nw6mnnhp1bMOGDWhsbIwSTQrDhw/vcb6d0WtwqMxwpJuDx6kodlcSvGtBQQFQXy8aTjqi4qPH4KG6mh1LX+jl9OagrXe0truSn6utTVy7f39trkvMgdopdThIMQc9BuVAZIJQqxw8TkOJrPV6tbNRQYFwRDU10RHVG7qM1Q5SP/WFXrpVWb2S7pJukji6m3rNmjU455xzuoQUAFx00UXw+XxYs2ZNUtf605/+hMLCQsyePVvrYloOrR8y7kCSGFrbXX0t2j0+7e3CQapFclkFhjgnhtZ1Xr0DCfNzxUfPtoZ13v5QO6WG1nmKgOjIHFnW5ppOROs2TZ2fi21afLTOU6S+FnVrfAKByAYGWutW2r13tG5rlNUr3F3eeHR3RFVVVfWYufP5fBg1ahSqqqoSvk4gEMDLL7+MCy+8ENmKR0XF0qVL4fV6UVRUhEsuuQS7du1Ku+xmQoeIOehhd3bofaPYRnFiaAHzc/WNHoM2ddJzDh7io3XUBsC2xklQO6VGe7u2my8AItLQ5RLX5fbe8aF+Mgc97c4+PD6K3bOzRTSaFnRfvUJio85tqhWcyDMH3Rdo1dfXo6ioqMfx4uJi1NXVJXydN954A3V1dTFDy3/0ox/hggsuQFlZGb788kvcf//9OOOMM/DZZ5+hOE5Mqd/vh19JBgSg6XDNCwQCCAQCCZcrEZTrJXrdYBBobhYL7LOzZWhVnOxsIBiUUFcno7xcm2tamWTtDgD19RKCwQTsHgjA2/VnAL2dHLE7EAhkxnRqsravqxM2ysnRzkZi9xHxfTY2ypp2WFYlWbu3tgKdnRLcbsDr1a6tyc0Vz1JdnYySEm2uaWV0bWuSQGlr6uvZ1mh5bTOgdkLXddW/+0LpSwoLgWBQu2cgJ0dCYyNQVydnRP61ZO0eDgMNDRJkWT/dOmyYNte0OsnaXo++xOcTdm9oYF8SD810q2o8IUkBuN1B+P1Afb2MGF2A40jW7h0dQHu7BEkCfL7Ie/oai/WFuq0ZODDly9gGPbVTMtc1JFOQFCNroSzLMY/H47nnnkNZWRmmTZvW47Wnn3666++zzjoLZ5xxBk444QQ8/vjj+MlPfhLzekuWLMHixYt7HF+3bh1yc3MTLlcyVFZWJnReS4sXmzeXICsrDJfroGb3P3gwBzt2FOKbbzqxc2e9Zte1OonaHQA+/XQAAgEX2ttrkZcXfzrC3dGBCw7/vXbtWoRizDQrdHa6sHHjAEgS0NZ2IKPWHidq++3bC3HoUA6GDGnBgQPaxcVu2tQfra0eNDY2oLjY3/cbHEKidq+v9+Hrr4uQlxeELNdqdv/q6jxUV+dj5852bN2aOdNLido9HAY+/rgMsgwEgweRlaVNyF5rqwebNvWH1xtGQ4N2fYcdSKadT5Q2k8NfqJ0iJPr97t2bhz178tG/fwdaWho1u/+2bf1QW5uNAwdaUF6eOWs3ErV7e7sHX3zRH263DJerRrP719ZmY9u2fvjqqwCqqxN3wDqBRG3/2Wel8PvdaGmpw+bN2gwqQyEJH38sRuPt7TXweDLDGQUkbvedOwtw4EAuysvbUFubeshe9/HEpm/L0dSUhbq6RpSWdqR8XbuRqN0bG7Pw1VfFyM4OwePfk/BYrC/278/Frl0F2L7dj+3bG1K+jt3QQzsBiesn3R1RxcXFqK/v6fRoaGiIm2yzOy0tLfjb3/6Ga665Bm63u8/zjznmGIwdOxYff/xx3HMWLVqEhQsXdv3f1NSEYcOGYcaMGSjUcqE1hFewsrIS06dPhzeB+M1du4DcXAkDBgCTJmnX+NfWAh98ICE3Fzj7bOd3Ksna3e8HwmEh8M87T0avVU21iHjmzJl9rgHIzhYzVpMnyxmRsDxZ27/3nph5O/FEbaP1ysuB6moJ48bJGD1au+talaTsHgphz/PvYWL7N8gfOgijZ85E75U+cfbuBT75REJJCXDaaWxruiOCSCR4vcDMmdrZJxgEcrLCKK16D6fUN8E9tBzyGWdo9r1akWRtnwxNJsboUzsJkv1+P/0UGDRIwtixMo48UrtybN0KbN0qYehQGccdp911rUqydt+7F/D5JBQXA6efrl2b1tgIvPuuhKwsYMYM5/clQHK2DwYjunXGDG2j9XJyJHR0iO8zExKWJ1vnP/xQwqFDwLHHphmt1208Ub4tD7t2SRg9Wsa4cWlc1yYka/ft24GCAgmDBgEnjZ/YdTyRsVhvHDgA/N//iWjas85yflujp3YCEtdPujuixo8f3yOfgd/vx7Zt23DVVVcldI1XXnkFbW1tMUPL4yH3kVHS5/PBF2N7Ca/Xq8sXksy1OzrEsqLiYu3WHQPieh6P2IHE7c6cXQEStXtTU2TnqT6d6qrreb3ePr+ooiKgoUE4uzJhqZKC2XW+qEh0Ln6/tte1On3affVqYMECjNyzByOVYw8MBVasAObOTfv+SlvT0UG7x0Kv+u59bTXOu2EBsg/tiRwcqt33amX06Lv10gKJQO2U2vWVZ6ukRD/9xDatJ36/sE9RkT52D4dFTsNMWBapkIjt29qEfbKytMuJplBUBBw6RP0UD8368W7jieJiL/bupd3jobQ1wu7JjcV6Q61bPR6xeVImoFffneg1dXdFzJo1C2+++SZqayPLPl555RX4/X7MmjUroWv86U9/wqhRozBp0qSEzt+4cSO2bt2Kk08+OaUym43iHNe6U/H5Is+okqCYRFDsrkcuIeWatHtP/P7Ijnla13naPQarVwPz5gF79kQfr64Wx1evTvsWyvfY2Sl+SDS6tDWHv1ffIf2+V2Ic1E6poVc/rlyPSbNjo/SxWtvd7Y5MDLIf74ledldfk7uI9SQY1H7HPAXq1t7Rq41XNqUIh7njs5Ho7oi67rrrUFRUhDlz5mDt2rV45plncMstt+Dyyy+PCi+/+uqr4fH0DNA6ePAg/vGPf+DSSy+Nef1ly5bhxhtvxAsvvID169fj4Ycfxrnnnothw4bhmmuu0e1z6Qk7FnNQ7K61MwRgx9Ibik1ycrSP0qPduxEKAQsWxN6DXDl2663ivDRwu8X3CdD2sdC8rVF9rz0m8TT8XolxUDslT0dHZFJD63RVyrMaCNC5Hgs9J/KUdAbUrT0xYgKVzteeKHZXT/BrhXqc1keAakai11hNPRlO3WocujuiioqK8NZbbyEvLw9z587FwoULcemll+Lxxx+POi8UCiEUQyS/+OKLCAaDcUPLx44di08//RQ33HADZsyYgSVLluD888/H+++/H3PHGasjy5HtgfVwiPAhiw8josxBT7tz8NCNd9/tGQmlRpaB3bvFeWnCOh8fzeu8gd8rMQZqp+RRnis9JjXoXO8dPSfyqFvjY8QEKh2APdHT7kr7xcicnugZiaa+Jtsa4zBk17wxY8Zg7dq1vZ6zcuVKrFy5ssfxm266CTfddFPc982ePRuzZ89Ot4iWoa1NjBnU4chawocsPkYIKXboPdHT7m63mBlvaxP3yaT8XDHZt0/b83ohPx84eJBtTSw0X35t4PdKjIPaKTn0nNRQrtvezr6kO8ryeoAR5UZjxASqEpmTKTlzEkGvFCqAsHN+vshb29KifXSnnVECNbKyDkeiaTzBzLbGeDIkXbV9UDduejT6fMhio45E0zsyx+/X/vp2Rs8OHWCdjyLRLQk12LqQs6mx8ftFOwBoWOcN/F4JsSp6TmoA7EviobTxSo4VraHd46OnfsrOFpN54XBEHxOB3k5vRgHGRs/UNQCDBsyAjiiLQSFlDm1torN1ufSJRFMicwDavjt6dyys8yrOPFPsohbPyy1JwLBh4rw0Udow5peIRpdBm4HfKyFWxahJDQ5SojFKtyo6jQjUkxp6RM0wZ058OFYzB05cOw86oiyGEV52SYpeZ0v0j0QD2MDFQu+caADtHoXbDaxYAQDokdZaqfjLl4vz0kRJMMvBQzS6CFjV99qjAdP4eyXEqhg1qUHnejR661Z1ZA5z5kRQ50TTq2lX+nHqp2joEDEHoxyAysYXRH/oiLIYejduLldk5oSzehH0FrDqa7NjidDeHolEUxLBag1n9Loxdy6wahU6SwdHHx86FFi1SryuAcrgQe1sJDoO2g5/rxis7/dKiBUxclKDzvVo9B4cMjInNkboVi5V6klnpw7L67vB8UJs9HZ6e71iJ0SAtjcKOqIsht4duvra7Fgi6O0AVF+bg/II6vquVySaYvf2dm6FqyBfOBfrH9kcObBmDbBjh+bOCrY1PdG1jZ87F9gc+V63P6LP90qI1TBiUkPtXGdkTgS9B4fqa7MviWCkbqXdIyh9uJ6RaIrd1RsBEI6RnQgdURYiFIqIGz07dEZE9cQIIcXGrSdGCKnsbG6F2532diAsqRTUWWfpoqjofO2J7nVe9T0eGq/P90qI1TBieT0Q0U9s0wSybEw/Tt3aEyMiomj3nhgxXvB6D+8KB7Y1CkZEogFs442GjigLoTRuXq/YmlIvODjsiRFedjZuPTGiQ5ck2r47RolKitho1IM2Peu8Au1OMgUj+nD19flsCYyIRAOoW2NhZERURweXoyoYYXf19VnnBUZEogFs442GjigLYVTjxsFhNEZFouXkCKdIKMRE8QocPJiDUXagkIrGqEGbAgcPJFMwysFL/RSN0ZFotLvAqEg0n4/LUbtD3WoOdAA6EzqiLITRDxkbN4HS2OgdiaYefNL2AjpfzcGoJIy0ezSKHXJz9R20KXDwQDIFoweHHKQIzBgcMtdjZJJBvQGRXnDMEA2d3ubA8YIzoSPKQhj9kAWDYs1tpqMISr07c4AiVo06ZxMHD8ZilB04eIhG7129ersnIU7GqGeLg/Jo1M51PVFyPdK5LlDsrkTa6wkH5tEYVeepW6Mxuo3v6BArWIi+0BFlIYx6yNxu0akD7FgA4zoV9T1o98gudi5XZLtUveDgIRqjhE1OTiRRPJejGuv0VmCdJ05H7ZzQ+9livsFojNKt6lyPbNPMmUCl3cXkveKcYCSasRhV57OyAI8n+p5EP+iIshCMzDEHI6MUaPcI6vrOGT1jMcoOksTlqGroiCJEe9TLlJRJNr1grsdoqFvNgXY3B6U/VSL09ET5bpXckpmOUauG1PegftIfOqIsgpEzeup78CHjzJJZGGl35R6hEOD3638/K6MM2ozIUQRQxKoxMvpSgXYnTkep40YsU1LneuSzZU4/Tv1k7AQq7R7BSLtnZzNRvII6lYwRG71QtxoHHVEWwchlSgAfMjUUUuZgZIfORPERFLvrHTmgwDofwYwcUbQ7cTpGRxpyQknQ2SkGiAAjc4zGrIioTM/1aHRbw6XAAuXzZ2WJjaX0hrrVOOiIsghGLlMCKKTUmOGICgTETyZj1uCBHbr4Tbsbi/qZN2JGT4GDB+J0jI405CBFoJ7U0HuZEkC7qzGyH2euxwh0epsDdatzoSPKItDLbg5+v1iupc5loyceTyTijR2L+M3Bg7FQSJmDYnefL5IIU2+UXDaZvhyVOBujIw05SBEY7QBkXyIIBiNtuhG2Z67HCNSt5kC7Oxc6oiyCWYPDTN+e0sjEgwoUsQKKWHNQ51MxAjq9BWYkKufuqCQToHPdHIx2ADLXo0Cxu9drzDIlgLpVgZE55mCm3RlRri90RFkEI3cDAKI7sEwWU0YmiFegpz16mRI7dGMxa2YpEIgkm8xEzHBEsc6TTICz5eZgtN2Z61FgZl+SyXYPh40fM9DuAqPHyEpwAhPF6w8dURaBgxRzMLpxU98rk+2uNOxZWcYtU2JkjkCp80ZFRLndkcicTLa9GW08B23E6aijY8xwrmdyrkfqVnMwY9MLpS/J5EG5elMpozd7yeT6DhgfyS9JtL1R0BFlEcwcpGRyx2KG3dm4mbONvVLflbxgmYg62SjrvLGYUeeVe2VyG0+cjRnLlDweMYkCZPazRd1qDtSt5mBmfQ+FMjeiXJbNdb5mcp03AjqiLEAwGGlg2LEYC4WUOZjRqaijrzLV9srndrsjSfONgHWeQooQPTCjD1ffL1OfLTOWKanvlal2B+iIMgsz+nB19FWm2t7vF+2NJBkXiQZwIs8o6IiyAErjYuQyJYAdC2B+lEKmJsEza/CQ6Q4RM5aiAmxr1HkG6PQmRDvM6MMBPltmLFMCaHfA3AnUTI4oN9vpnal1Xr0sz6hNpQDqVqMw5CvdunUrzj33XOTl5WHgwIFYsGAB2hN4oqZMmQJJknr8bNmyJeq8QCCARYsWoby8HLm5uZg6dSo+//xzvT6O5nBQbg5mLVPKzhae/XA4c3d+MbtDz9SOxWy7Z2pb09EhnnejB22K3ZX7E3tB7dQ3Zjh41fdjX2LsfTPd7oA5tmdEufljtUyt87S7s9E9/qahoQFnn302RowYgZdffhk1NTVYuHAhamtr8eyzz/b5/tNPPx3Lli2LOlZRURH1/2233YY//vGP+M1vfoOKigr86le/wrRp0/DFF19g0KBBWn4cXWCHbg5mLVOSJNHAtbWJHyMHplaBdd4c2KGbg3pGT5KMu6/PJ5xfitPd6O+dpA61U2KYFeWZ6RN5ZixTAnpGlBvZnloBJSJJ0ZFGkpMDNDcL2+fnG3tvK0Ddag5m2z1T23ij0N0R9dhjj6G+vh4bN25EaWmpuKnHg8svvxx33XUXxo8f3+v7i4qKcOqpp8Z9vbq6Go8++ih+97vf4dprrwUAnHrqqRg5ciSWL1+OpUuXavdhdMJsIRUIiDxVRi4LtAJm2R2IOKIysYFTJx5kFKCxmN2hU0gZf+/cXKClRZSBjij7QO2UGGzTzMEsu3ePKM+0iTxFtyrbyxtJbq5wRGVqnTdrGXCmO0TMtrs6op1oj+5mXbNmDc4555wuIQUAF110EXw+H9asWZP29detW4dQKIQf/OAHXccKCgowe/ZsvP7662lf3wjM6tDVO79kYsdi9uBQXYZMQp140OgZvUy2O2C+AzBTd34xS0gBdL7aFWqnxKAjyhzMsrtaN2Si7albzSEQED8AI8qNxqw6r0SUy3IkjQvRHt0dUVVVVT1m7nw+H0aNGoWqqqo+3//2228jLy8P2dnZmDx5Mt55550e1y8rK0NJSUnU8QkTJuCrr75C2AaJMZQBgtGDcvU9M3GQYqbdM7lDN2uZEpDZdgfM69AzfecXs/LYqO+ZiXa3M9ROfdPZGUmcbMYyJSASUZ5pmNmmUbea25dkst2N3lQKYB9uhbYmU21vBLo/TvX19SgqKupxvLi4GHV1db2+d/LkyfjRj36EI488Env37sWyZctwzjnn4O2338Z3vvOdPq8fCATQ0tKCwsLCHq/7/X74VZmim5qaAIjknQHF7a0RyvXiXbepSUIoBHi9MjS+dZ9kZUkIBoHGRhnd9Kjt6cvuzc1AMCjB40nB7oEAvOr7JHkBj0fcu7kZCASct3Veb7ZvahKf3es1/rN7veLewSDQ0SHD7Tb09rrTm92DQaC9XXj+PB4ZAX96dThZsrIktLQATU2yKcth9aTvtkY6vPzZgDa+W9vk8QQQDEpobDS+fzGCvmyvxbXNgNoJXddV/1bT2Cja8+xsIBSSDd/Ny+WS0Nkp9FMMU9maRHSrYW1aN5R+vLFRxsCBxt7bCBLRT2bYXdGtTU2Zq1vz8nT47H2MJxS7B4NAa6vctZLFKfRmd1kGWlokyHKctibNsVhfZGVJaGwUurVfP00vbTp6aqdkrmuIX1eKEfYgy3LM42oWL14c9f8FF1yAiRMn4v77748KTY93/XivAcCSJUt6XB8Q4eq5OrldKysrexwLBiV88onoSWX5gOED4927C7BvXy727GnD8OHNxt7cIGLZHQCqqkrQ3OxFQ0MDvvoque3r3B0duODw32vXrkUoyUQFTU1ebNlSguzsEGprDyX1XjsRy/b79uVh9+58lJZ2oL6+0fAyffrpQIRCEvz+Q8jJceY+xLHs3t7uwRdf9IfHI8Plqkm7DifLtm39UFubjQMHmlFe7szppXhtzWeflcLvd6O1tQ4FBfqOHrp/rzWtRdi2rR+2bu3Evn31ut7bTOLZPh3aTJ4GpXaKEOv7ravz4ZtvipCfH0BnZ+/OOT3YtKk/Wls9aGpqQFGRM7fAjWX3cBj497/LAAChUA28XmOdEtXV+aiuzsPOne34+usmQ+9tJLFs/9VXxWhszEJtbSO2bTN2vVBrqwebNvWH1xtGY+NBQ+9tJLHsfuBALnbuLEBxsR/NzQ2a3i8RLfb55wPQ2elCe3st8vKcGYIZy+5+vwuffTYALhcgSQd6rKLQW8d++20hampysG9fK4YMadH02lZBD+0EJK6fdHdEFRcXo76+p/htaGjoM9lmd/Ly8nD++edj1apVCV3f6/UiL87U+6JFi7Bw4cKu/5uamjBs2DDMmDEj5ixgOgQCAVRWVmL69Onwer1RrzU2ilk1nw+YPt34GYYdO4BNmySUlwMnnuisGY7e7A4IT3dHB3DGGTJiTAz3jpL0BcDMmTOTznje1gbk50twuYDzzpMdt/NLb7b//HOgrEzC6NEyxo0zvmz5+WJG75RTnDeb2pvda2oAn09CYSFw1lly2nU4WbZsAb75RkJFhYyjjtL1VobTm91lGZBlMaN3zjmy/sl1u32v9Z15+Oc/JeTkANOmOauNB/pu59NBifYxA2onQW/f7/btQFGRhMGDZZxwgua37pOyMgn79gETJ8oYOdL4++tJb3YXTYwEt1voF6PZvRv47DMJAwYAkyZlVpuWmysii089VYYqfZxB5QJycoRYnTnTmRHl8ey+eTMwYICEkSNlTJyo8Y0T0GL9+kmorxfjtPJyje9vMr3Zva4O8HpFJNrUqTGedZ117NdfA199JWHIEBnHH6/ppU1HT+0EJK6fdHdEjR8/vkc+A7/fj23btuGqq65K+nrKbJ36+jU1Nairq4vKdbB582aMHTsWrjhp7n0+H3w+X4/jXq9Xly8k3rWV3eoKCkS4sdH06yfu39lpzv2NIJbdw+GI7QsLU/jsqjd4vd6kL6DcU5ZFWZy680tvdb5fP3PqXEGBcAQGg5lV5wOBbvU9zTqcLIWF4v6BQGbZvaMDcLtFPrT8fAPyonX7XguzvYdD+0U5nLrzix59t15aIBGonfq+vtn6qaAAOHgw8/oSxe75+dStepJQP25oeYRWDQbFTybqVl3snoAWKyzE4VQezq3zvdX3uG28zjpWaWsyrY3X6rqJoLsknTVrFt58803U1tZ2HXvllVfg9/sxa9aspK7V2tqK119/HSeffHLXsRkzZsDlcuHFF1/sOtbS0oLXXnsN559/fvofQGfMTJitvm+mJR9UdkBwuWDKemtJytzkzWbX+UxN/Ei7m4OZyfkB7vxiV6id+kb9bJlBprZpZvclat0qOy8gKi5mJudXYJ035/6ZmijeKnbPtPpuJLo7oq677joUFRVhzpw5WLt2LZ555hnccsstuPzyy6PCy6+++mp4VFsRvPvuu5gzZw5WrlyJ9evX47nnnsOZZ56J/fv345577uk6b8iQIbj++utxxx134IknnkBlZSUuuugiAMCtt96q98dLG6sIqc7OzNr5Rd24mbUsjh2LOffP1I7FKnZnfTeWTN/u3K5QO/WNmbspqe+bac+V2W2aotvCYcDvzNRcMVHsrkwumEGmTl5boc4DbGuMRrlvR4dob4j26L40r6ioCG+99RZuueUWzJ07F7m5ubj00kvx4IMPRp0XCoUQUm15Ul5eDr/fj0WLFqG2thZ5eXk47bTT8Oijj+KUU06Jeu9DDz2E/Px8/OxnP0NjYyMmTZqEN998E4MGDdL746WN2Q+Zx4PDu5eJshQUmFMOozHb7up7Z1LHot7q2uyOhULKWJT7BoPC8e20nV/iYbbdATFgbm3NvDpvZ6id+sbsZytT+xJFs5jlAFQiytvbRVmcukSsO2bXdyAzna/hcCSamE5vYzG7zitOX6UOmPX9OxlDds0bM2YM1q5d2+s5K1euxMqVK7v+Hz16NP7+978ndP2srCwsXboUS5cuTaeYpmD2jJ5y78ZG0cBlmiPKbLury5IJKJ81KwumJbrM1A7d7OhLl0sMGDo6RD2gI8o4MtHp7QSoneITCgmHNmB+lKcSUe4xRFGbjxXatNxcUY5M0k9mOwDV986kvkSpY263ebolE8cLgPm6VYkoVyby6IjSHoemLbUPVunQgczqWMxu3ADa3SyUe/v9kXwLTke9hMHMjjQTHSJ0ehOiPUpdVqK6zUB970x6tqygWzO5L7GC3VnfjaV7RHmmYCX9lEltjZHQEWUi6sGhFRo4dizGkslCysxORR2NlSnJmzs6RFJXs5LzK2Rih24F52sm2p04Gyv04UDmPVuybA3bZ5rdAWvYneMFc3C5xDIxdXmcjhWS86vvnUltjZHQEWUiVgj3BNixmAXtbh6ZZnsrJOdX7g9kjgMQsEadz7T6TpyPFSY1gMx7tjo7xSSqeudfM2BfYg6ZmLzZCnZX3z9T2horJOcHGFGuN3REmYgVZsrV98+kh8wKHYty73A4c0JtrWB39f0zpc5bze6ZMrNkheT86nsrkXGE2B3qJ3NQ7G724DDT7A5YI0dUVlbke88UJ6DV9FOm1Hmr2T1T6rvR0BFlIpzRMwerhHtmYqgt67w5WKVDV2bQM6VDt0JyfkDYPRO3OyfOxSptWqb2JezDjcUKyfmBSPJmIHNszzpvDlZp4xXdmikTqEZDR5SJWOUhy7RQW6Uxyc42d0YPyLyOhbPY5mAVu2daiLNV2nhJiji9M8UJSJyNVZ6tTOtLrGb3YFBEnjodKyTnV8i0CSWr6KdMa2usZvdMqe9GQ0eUiVilQ1eH2mbCbLlV7K4uQyZ0LFZJzq++fybYHbDOjJ4iYP3+zHJ6m13f1WXIlDpPnI1V+vFMG5Rbxe5ud2btWGgVu6vLkCkRIlaxfab14VbRrYrd1VGJRDvoiDIRqzRumRZqaxW7q8uQSXY3Ozk/EBk8ZILdAevUefUStUywvVWEFJBZbQ1xNuqd28x+ttRRnpmQf80qfYm6DJngBKTdzUE9aWZmcn4g8/pwq9T5TEyjYiR0RJmIVYQUkFkDc6s0buoyZEKHbiW7c4mYeWSSmKLdCdEev184fdRLTs3C5xPlkOXMiCi3QsJshUxq09iXmIPyGa2UykNp/5yOlep8Jo2RjYaOKJNQz+hZ4SHLpI7FSstlMqlxs1J9V+weCjk/v4RVkvMr0PlqDpnUxhNno+7DJcncskgS+3GzyKQ2zUq6NZPsbqX6rqRRkWXn66dQyDqpPNRlyIQ6bzR0RJmEEu6pFjFmkkkPmZUi0TLJ7lYSUurlgU63vfL5zN5uWyGT6ryVRGwm2Z04Gys9V0DmPFvqxOBWsH2m2B2gbjULK0UAZpLTW3G0WSGVB5BZE6hGY4FhSWaiDvc0e0YPyKyOxUoiVt24OT3U1kpCCsicOm+l+g5kjpAKhyOixQq2p5AiTsFqbVqmPFuK3b1esXub2WRKHw5Yq84rZQgEhHPSyVjJ7kDm1HkrTVwDmWN3M6AjyiTYuJmDetcDK9henV8iU0SsFewOZE6dt9KMHpA5dlc+nzrRpZmod/fKhB0LiXOx2iAlU5zr7MPNwWqpPDyezNmx0Ep2BzKnznPiOnOgI8ok2LiZg/L51B2pmWRSqC3rvDnQ7uZgNburl2Y63elNnA0HKeZgtTZN7Vx3ckS5Ojm/FVJ5ANG2dzJWq/Nsa8whU+xuBnREmYTVHjKlUwkEIomNnYjV7A5kTgNnNdvT7uaQKXa30rI8hUyxPXE2bNPMwWp2V3RrOByJdHciVkvlAbDOm0WmLQO2ot2d7PQ2AzqiTMJqD5l6zb+TOxal8bbKrBKQGR1LZ2dkOZBVbJ8pQspqDhGlHOrEt07Eam08kDl1njgbq/XjmfJcWa1Nc7kyI6LcanYHMqPOWy2VBxCp78ryZKditTZenUZF2c2PaAMdUSZhtYcMyIyOhR26OVht5zYgMwQsED2bagXc7siyWCc7X63YxmdKnSfOxWo7twGRcii7ITsVK7ZpmaCfaHdzUO/cZoVUHkBmTFwD1hurZVIaFaOxyJAw87DaQwZkVsfCDt1YrGh3Jb+Ik0Nt1bM3bGuMxcptvNNFLHEuSt31eKyxcxsgthdXJljYphkL+xJzyAS7Wy2aHIiUpbPT2WlUrGx7J9d5M6AjygTC4cjg0EoD80x4yNihm4MV7Z4JobbqJKdZWWaXJgLrvDlkgt2Js7HipAaQGU5eK9o+E6IUrGj3TOhLrBZNDmRGGpVAQES+AtayfSbUeTOgI8oElEGvy2XNwWEmCCkODo3FikIqE0JtrZjkFGCdN4tMsDtxNlZ08ALOf7bUG9lYyfbUrebg9PoOWNPugPNtr9jd6xXLIq2C0+1uFnREmQAHh+ZhxRmOTAi15eDBHGh3c1Dv4mQl2zvd7sT5WNHBCzj/2VI+l3oZohVwut0Ba+pW9Y6FTo0ot6LdAedPoNIBmFlYqDvJHKwqpJzeuIVCkSSnVrK92uvv1Fk9q9Z5p3cstLs5KJ/LSklOgYjd1aHvhNgJOtfNgX2JOciyNQfm6h0Lna5brWR3wPlRgHQAZhaGOKK2bt2Kc889F3l5eRg4cCAWLFiA9j6+yaamJtx7772YNGkSioqKMGDAAJx77rn45JNPepwrSVKPn0GDBun1cdKGQsoc1ElOrTQ4BJxve9Z5c6DdzcGqgzZ12+dUEeskqJ16YtVny+ltmtX7ko4OZ+5YqM7z6POZXZponD4wt6pDxOltjVXbePUGR0Q7dN9zpKGhAWeffTZGjBiBl19+GTU1NVi4cCFqa2vx7LPPxn3frl278Nhjj+Gqq67Cfffdh0AggBUrVuC0007D+++/jxNOOCHq/FtuuQWXXXZZ1/9ZVkq+1A2re9lDIbGsxMImTAmrdiqAsH1LCzsWo2GHbg7qwYMisp2EVdt4QNSFQEDU+fx8s0tD4kHtFBurO0TYlxiLslQwHBZlVAaLTkGxu7K5ipXIyQEaGpxf59nWGItV23il7fP7RXtjpSXKdkZ3R9Rjjz2G+vp6bNy4EaWlpeKmHg8uv/xy3HXXXRg/fnzM940cORLbtm1DrqpXOeecc3DEEUfg4YcfxlNPPRV1/vDhw3Hqqafq90E0xKoOEZdLdHZ+v2iALa5Hk8aqnQrg7I7FqklOAefP6Fm1ziszu0ouJavN9KaLVdt4QNSF5mbn1nmnQO0UG6s6RDJluYzV+hJJEmVqbXWmI8qqdgecrVuturs54Gy7A9bVrVlZIt1CKCRsn5dndomcge7+vDVr1uCcc87pElIAcNFFF8Hn82HNmjVx35eXlxclpAAgOzsb48ePx969e3UrrxFY9SEDIg1uW5u55dADqw8OAWd2LFZNcgpkzuDBanVenV/CyXXeim28k9saJ0Ht1BOrbgIARNozp+Zfs4NudWKbZlXHK+Bs/aR8Jqvtbg44vw+3qm4FnG97M9B9WFhVVdVj5s7n82HUqFGoqqpK6lqtra349NNPY84ELl26FF6vF0VFRbjkkkuwa9eutMqtJ3Z4yJzcsVBIGYuVhVT3UFsnYdUkpwpO7tCtXOedbHcnQe3UE6tuAgBE519z4rNlB93qZLtbsQ/PBN1qRbur06goGzA5CTvY3ol13ix0X5pXX1+PoqKiHseLi4tRV1eX1LV+9rOfoa2tDTfffHPU8R/96Ee44IILUFZWhi+//BL3338/zjjjDHz22WcoLi6OeS2/3w+/as/RpqYmAEAgEEBA4ydbuV4gEIAsA62tEmQZcLtlyzUiHg8QDEpoarJe2ZJFbXcAaG6WEAxqZPdAAN6uPwNp9waK3VtagEBATrNw5qO2fVOT+Gxer/U+myQB4bCEcBhoaZEt2fElg9ruHR1AICBBkgCXK0ad17gOJ4vHI57H5mYZqqAPWxKvrfF4TGhH+/he3W7ntjV6XdsMqJ3QdV3ld3OzqLs+nzXrrtcrob1dtGlWdNgkQ/fnqqXFxDatDxT91NxsvbKlgtr2LS3is1lxvODkvkTRrR6PAZ8tBS3mckno7ASammQUFupbPL1R2z0YBNrbRTK0hOq8wTpWqfNOaGv01E7JXFd3RxQgdmbpjizLMY/H409/+hOWL1+ORx55BKNHj4567emnn+76+6yzzsIZZ5yBE044AY8//jh+8pOfxLzekiVLsHjx4h7H161b1yOsXSsqKyvR2enCxo0DIEmAJB2wXPLBffvysHt3Pr79tgM7djSaXRxNqKysBAB8+WV/tLV50NRUj02bOtO6prujAxcc/nvt2rUIpak629s9+OKL/vB4ZLS21qR1LStRWVmJ6up8VFfnYeDAdhw82GR2kXrw2Wel8PvdaG2tQ0GBzXuWw1RWVqKlxYPNm/sjKysMSTrY4xyt63Cy7NpVgP37c1Fd3Yphw1oMvbdeKG3Np58OQCDgQnt7LfLyjF2n09f32tSUhS1bipGTE0Jt7SFDy6Yniu21pM3kNerUThEqKytRW5uNbdv6obCwE+3t9brdK1W2bi1GQ0MWamubMGCAM6bMKysrEQxK+OSTgQAAWT4At9vkQnXjwIEc7NxZiG3b/Ni1q8Hs4mhGZWUlqqpK0NzsRUNDI776ylpLFfx+Fz77bABcLqC93XrjmVSprKzEvn252L27AKWlHaiv13cslIoWU49niorSG89YhcrKSrS3u/HFF6Vwu2W4XH2PhYzWsXv25GPv3jzs2tWGr79u1vVeRqGHdgIS10+6O6KKi4tRX99TMDQ0NMRNttmdyspKXHnllbj99ttx44039nn+Mcccg7Fjx+Ljjz+Oe86iRYuwcOHCrv+bmpowbNgwzJgxA4Uau5cDgQAqKysxffp0tLR44fFIyMkBpk2z3gxCdTXw6acSSkuBU0+1XvmSQW13r1fYvbMTOOssDWYQWlu7/pw5c2baWeuCQcDnkw5fT7ac0EsWte03bfKivFzC2LEyjjzS7JL1pKhIQl0dcMIJMgYPNrs06aG2e22tF7m5EoqLgdNPj/Esa1yHk2XbNqCqSsKQITKOP97QW2uO2u5utxfhsHiWZ8yQjc8v0cf32tIC5OeLmd5zz7V3Gw/0bOe1RIn2MQNqJ4H6+92504viYuu2GUOGALt3SxgzRsaYMWaXJj3Udu/o8MLlElHNM2dar83Yvx/4978lFBUBZ5xhvfIli9r22dlZaGsDTjtNRkmJ2SWLJhwWUYAAcM45su03HVHb/auvvCgrkzBqlIwEm9vUSUGLDRgg4cAB4JhjZAwfrmfh9Edt94YGL3w+CQUFwOTJCTzLBuvYnTuBL76QMGgQcNJJ9m5r9NROQOL6SXdH1Pjx43vkM/D7/di2bRuuuuqqPt//0UcfYe7cubj44ovx4IMPJnxfWe69gvh8PvhitJper1eXL0S5dijkhccDFBRYL8cBIMolQlGtWb5U8Hq9hweH4rMVFmrw2VQX8Hq9aV/Q6xXr7YNBse7b7mH9Cuo6r4nddaCgAGhqEna3YvlSwev1IhgUds/Pj/O5NK7DyaK0NcGgs+weCAi7u1wm7arSx/eq2B0QS1M9hsRF648efbdeWiARqJ16Xl9p06zalxQWOrNNa221tm51ot0BwOPxIhj0WLrO5+eLnD5O00+G6tYUtFh+PlBb66w6r7Z7XN3a801R79fbGE4dI+vRdyd6Td2Tlc+aNQtvvvkmamtru4698sor8Pv9mDVrVq/vraqqwqxZs3D66afjqaeeSjgcfePGjdi6dStOPvnktMquB1ZO+AhEyuW0ZOVWTnKq4NTEj3ap806zu5UTPgLO3RjB6nZXJ1V2mu2dBLVTT6y8CQDgfP1kB7s7adORzs7I57FqtJFT9ZPV6zz1kzk41e5movtc6HXXXYeHH34Yc+bMwd13342amhosXLgQl19+eVR4+dVXX42nn34awcP73tbU1GDmzJnwer24/fbbo0LFfT4fjj8cl71s2TJs374dkydPxsCBA/Hll1/il7/8JYYNG4ZrrrlG74+XNFYXUt13Y7Cq0yZZrG53QNi+pcV5DZzVOxYOHsyBAtY8srNF+97eLmYeifWgduqJlXcQA5w7SLF6H56VJSJQw2GxA65Vy5ksat3q0j1sIDWcqp+sXuepn8yh+07bVn0u7YTujqiioiK89dZbuOWWWzB37lzk5ubi0ksv7REqHgqFEAqFuv7fvHkzdu/eDQA455xzos4dMWIEvv32WwDA2LFj8fLLL+PPf/4zmpubMWDAAJx//vn4xS9+EXPHGbOxupByuUSn3tkpyuoUR5TV7Q44s2MJBEToMGDdjsWp27Favc4r9SEcFu2N4bmUdMIOTu/sbKC52XmDBydB7dQTqz9bTuzDAesPDiVJlK2tTZTVqn1esljd7oAzna/hsH3aGifZHbC+blU7vTs6AB3358gYDMkOMWbMGKxdu7bXc1auXImVK1d2/T9lypQ+cxUAwOzZszF79ux0i2gYVm/cAFG2zk5RVrtvC6pgF7sDzupYlM/i9cKyCdidaHfA+nXe5RLLDfx+UVanOKKsLqQAZw4enAi1UwQl2gWw7rOltLWBgIgqt2qflyx2aNMUR5ST2jSr9+GAM52vSjujTMxbEaf24Xao8zk5Ikc6HVHawKAyg7FDh+7EBo52NwerhzcD0XZPYPxmC2TZHrZ3ooi1g5Byot2Js1GeKysPDtUTLk7sx63cpjlRP1G3moM6Ei3B9HqGo3Z6K6sOnIAd6jz1k7bQEWUg6sGhlTt0Jz5ktLs52CG03OcTYkOWIzNhdscOSU4BZ0aj2UFIOXHwQJyNHfpwwJnPFic1zMEOdZ52NwePJ7LjrVPaGiU3MWBt2ztRt5qJQzZutgednWKwK0kcHBoNB4fmYAcBqzyPHR3ix8odYKIodvf5rJ1M0e75uUKhEAKBAAKBADweDzo6OtDZGYLHIyIjTHmW/X5gxIjI3zHWB7ndQsQqdd7OqG2vzpWUCF6vF26nrJ9yOHbowwHRf7S02LdN604wyMGhWXR0iHAcK9d5Z9pd/Lay3YFIW9PRYc9NR7rrp6amDng8IbjdwimVUHeegN7RGp9P6Ce7LwW2inaiI8pAFGHCwaHx2KFjceJuDHaIiAJEvXDCoFzBToM2wH52l2UZ+/fvR0NDQ9f/gwYNwu7du1FUJAYPBw8Chw6ZULhwGHj0UfH3vn0xG5JwGBg4UDhhd+wwuHwao7a9lMI6iqKiIgwaNCil9xLjsEOUAmDfNi0e6jyPHguPGDiRZw5KfXfSTtt20q12dHrH0081NbsxcKAElysJXZKA3tEaRT+FQvbWT1bRThbuVpyHHToVwHlCSp3k1ModixN3Y/D7rT+jBzgvvNwugza7Dh4UETVw4EDk5uZClmW0tLQgLy8fra1CCBUUmJRfIhSKVOSKipgzhOGwELCAieXUiHA4jJaWFuTn58OVhAiVZRltbW2oqakBAJSXl+tVRKIBdtFPTpvIs8ug3Gl9OCA+i8tlbdu73c7badsO4wXAvmO1ePopOzsfHR0uuN1AXl6CF0tA72iNsplXUuW0IFbRTnREGYjdOnS7NW7xsEOSUwX1zi9OcETZpc7b1SESD7sM2uw4eAiFQl0iqn///gBEh97Z2YmsrGwEAi64XCbaXh1inZ0dV5gFAmKpeFaWvXf3UmyfnZ2dlJgCgJzDX1JNTQ0GDhzIZXoWRlmmZPW+xKn6yU52V1Jg2JlAQILbbX1HFOC8nbbb2+01gWqntqY3/eT1ZiMcdiErK4k6n6De0RKPJ7JqxerPZm9YRTs5YPGPfbDL4FApn1N2Y7CL3QHnzabaxfZ2dIj0hl0cgHYUUoHDCVNyY3iKlQTxdlhWqwzUnLJTZKoo36PyvRJrYre+xE5tWm/YZZm3etORzk6zS5M+gYAY2Fk9lQfAiTyzsON4IRH9ZHUnsvI8hsOZrZ+00k4Wb96chV1mlpy2G4NdBuWAs0RsKCTZIskp4Cy7A/ZbEhkM2s/pHWtdvCJKrC6kgGgxlckwN5Q9sEs/bsfBYW/YRbe6XJFNgJxg+85O4Yiyut0BZ03k2WV3c8DeujW2fhLHrO54VRc9kx1RWmkni3/dzsIuoeWAvRu47tilUwGcNbPU2SmaF7Vj06o4ye6AfQZtHk8kp4QTRKydIqLoiCJ2QZYjeVvs4lxXNh2xO3bYuU3BSbpV0U+0u7EEAi5b7G4OOM/pbRf9JEnUT1pi8a/bWdgl3BNw1sDcLqHlgLNmlpQZPdrdeOzU1jhJxNpFSAGRWb37778XkiTF/PnFL36h2/3z8/Nx7733JvWeb7/9Fvfeey/27t0bdXzXrl1wu91YtWqVhiUkVkE9OLR6nkdl0xEg4jyzM+xLzMFOEVFOcogoDsDsbOtHNit1o7PTGQ4Ru+mnpUvvhddL7ZQuFo9TcBZ22AFDwUkDc7ssUwKcJqQiHbrVUcoYDotO3eqDnd4IBsX2tx6PfWzf3OyMOq+ElltdwAIRsSfLIvHkW2+91eOcYcOGGVyq3vn222+xePFiXHDBBRg8eHDX8bKyMvzzn//EuHHjTCwd0YvOTndXe2b1Z0uSIpuOtLfbQ3f0hl2iawFnOkTsUH+cpVvdyM21R3130k7b6rQGVm/jgYh+onZKHzqiDMJOO2AAzupYKKTMQUm2aQchpeSX8PtFnbezI6qz043s7OiZeSvjpDpvpxk9tSPK5XLh1FNPTfi97e3tXbumWAGfz4dTTz016Z1fiD3o7HQhN9cefQkQvfutnQmFRJtmp0kNwP52B+wZEeUku9ulrcnJAVpbneGIUpxQdujGlTJSO6WPDb5uZ6A0bnbYAQNw1uDQjqHlfr/9k+DZSUgBzokCtJuQcsrgQZbt5YhKZtZRkiQsXboUd9xxBwYNGoQBAwYAAGRZxrJlyzBmzBj4fD4cccQR+O1vf9vj/X/5y18wbtw4ZGdn45RTTsH//d//xbzP66+/jkmTJiEnJwcDBgzADTfcgNbWVgDAhg0bMHXqVADAySef3BUCD1gjvJzoh936EqcMzJXJJHUuPyvjFLsD9prIU55LJ+y0rdjdLm2NU3SrnaLJgcTLSe3UN4yIMohAwI2cHPs1bnbv0JWQVbvM6Km3IPb77VHmeNjRIdLYaP86b6clkYBzBg/KjB5gDzGljogCgGCMEYTb7e4SLCtWrMBpp52GJ598Ep2H90dfsGABnnjiCdx1112YNGkS3n//fdxxxx3IycnB9ddfDwDYuHEjLrroIpx33nl46KGHsH37dnz/+9/vseXvqlWrcMkll+DKK6/E4sWLsW/fPtx5552or6/Hn//8Z5xwwgl45JFHcNNNN+Gpp57iMrwMwo59CWD/wWFnpxtZWfbpS5xidwDw++3Tjysb0gSDoh/Pzze7RKljpyWRgHPGaooOscMkHhBdTmqn9KAjyiCUTsUujZtTBoeBgAter2g07LDcStmpo6ND/NhBhMTDrg4Ru4tYDtrMQcnN5XablzjU7U78XLWzrLW1Fd4YIQ/r16/HlClTAAD9+/fHqlWrusTVtm3b8N///d949NFH8eMf/xgAcM4556ClpQWLFy/Gj3/8Y7hcLixduhTDhw/Hq6++CvfhAmZlZeG6667ruo8sy/h//+//4ZJLLsETTzzRdbysrAwXXHAB7r77bkycOBETJkwAABx11FE46aSTAABhJ2RpJb1it77EKYNDDsrNIRAAwmH77LINiHK2tDjBEWWviCjnjNVEffd4xJLghAkd/oHqd4oko58URxS1U/rQEWUQdg33VLYgtouXujudnW54vfZIcqqQkyM6lfZ2oKjI7NKkjl0dInbv0DloM55QCKis9HQ5osyq87NmAYlqKXUuhpycHLzzzjs9zhk7dmzX3+edd16XkAKAf/zjHwCAiy66KGpGcNq0afj1r3+N3bt3Y8SIEfjXv/6F7373u11CCgDmzZsXJaa2bt2KnTt3Yvny5VHXmjx5MiRJwr///W9MnDgxwU9GnIadlikBzhkc2nVQHgoJZ44dlhPGQpmUycpKbnBsJjk5whFl9wklu+onO9s9FAL+8Q9P1xJgny+ZNwPY3k/8vQ+JC6AYzJqV+POmSCFqp/ShI8og7DYod8puDHZzAALOGZgHg/aa0XPK4MGug7bOTlFv7CK8u2O3HAdAdMJNZZYsHgMHDoz6/9ChQ5BlGaWlpTHPV8TUvn37ery3pKQEHk9Efhw6dAgAcOGFF8a9Fslc7OYQccLgELBfRJQS+d7ZKWxvV0eUokHsUt8BZ+hWWbavfrKz3QH7Ls1zuVw44YSTei03tVPv0BFlEHbzsgPRO7/Y1RFlNyEFOKNjUcpulySngJMGD/YatHm9wvkUCol6k5dndomSx+0Gpk0LdkVfmtXeuN1IKjw92YTlakpKSiBJEt577z1kxVj3rMwIlpeXo6amJuq1urq6qNm7kpISAMB///d/Y9KkST2upd5umGQWsmy/flw9KFfnjrMbdutLAFHWzk5h+8JCs0uTGnbaYEfBCakNOjvF5LuSIsMOOEG3ut3A2WeHkJ0tlnUmNWYIAfi0Ufx9PNKKiEo1tUFfG0tRO/UOHVEGYbeIKECUta3N3g2cXYUUYG+7K2W3k92dIKQA++WjA0Q9UbYgtqMjChBiw+2OONbsQDqzj9OmTQMA1NbWYvbs2XHPO+WUU/Daa6/hoYce6gox775Dy7hx4zB06FBs374dN910U9xrKaKtw85eepIUyg6ydhocqjcd6ey0T7m7Y1fd2tRk74k8RYP4fPbZOtkJEVFK2e2yuznQc6dtuzq9XS6hnzyeFPSTW/XbQO2l2DocTq7M1E7R0BFlEHaNiALs3bHYUUg5we52nNFT7G7n/BJ2THIKiHqiOKLsijIrZichqIjtcDiMDz/8sMfrAwYMwKhRo2K+d8yYMbjpppvwwx/+ELfffjsmTZqEQCCArVu3Yv369Xj11VcBAHfeeSdOPvlkfO9738ONN96I7du3Y9myZVEzgZIk4aGHHsJll12G1tZWnH/++cjLy8POnTvx+uuv44EHHsCYMWMwZswYuN1uPPnkk3C73fB6vTjhhBM0twuxDurBoV2eLZcrsulIe7t9HVGBgH11q50nlOysn+xsdztOoDplp227Lc0DhN3D4TA++ODDHpthUTslDh1RBqAeHNqpY3HCEjE7OgCdYHc7zugp0SyBgLC9HR1RSp2xU1QO4AwRq+SIspuQAoD29nZ85zvf6fH6FVdcgZUrV8Z9/+9+9zuMHTsWjz32GO677z7k5eVh7Nix+P73v991zvHHH4+XXnoJd955Jy688EIcddRR+POf/9w1K6hw8cUXo6ioCL/85S/x7LPPAgAqKipw7rnnoqysDABQWlqKRx55BL/61a/wzDPPIBgMIpTUFjvEbthxUA6INk3Z/daOhMMRR5SdbO8E/dTRYc/JJMDudhe/7VTfJUnUk/Z28WOnOqOgbN6m3kDFDkiS0E6TJ1M7pQMdUQag3gHDTg+ZEwaHdo6IsrPd7ZhsExDlVRxRBQVmlyZ57CikAGdEAdpxRs/lAu6881789Kf39ppPRY6TBEGSJNx88824+eabe73PhRde2COZZktLS4/zpk+fjunTp/d6reuuuy5q15hwOIzhw4cjFArBZSfjk4SwY5QCYP9+XCm3MkFjF+xudyBSdjv144rdlTxLdmyK7TiBCkQcUXbVT3aMJgeAu+++F7fffi+ysuLnUaZ26htD7rx161ace+65yMvLw8CBA7FgwQK0J9hLPP300xg3bhyys7Nx1FFH4aWXXupxTiAQwKJFi1BeXo7c3FxMnToVn3/+udYfI2XsPCgH7N242Tm0PBwWnbodUWb07CSkAPvnibLroM3udldrDTuJqcjSvL4TbhLjyXTtBKj1k70qqN0jRKhbzcOOtldPtNvV9pzIMwclIspuzku1fiKpo/vX3tDQgLPPPhvNzc14+eWXsWzZMjz33HO49tpr+3zvqlWrMH/+fFx44YV44403MG3aNFxyySVYt25d1Hm33XYbHnnkEdx33334y1/+Ao/Hg2nTpmH//v16fazECYWADW/jmE3rUFb1tvjfJth9cGjHJKdAJL8EYN+OxY5CCgCyvSH0/2IDvKueBzZssNXzCqgdUfYatDlJSNnJEZXMzi/EWDJeOwFAKATvP4V+KvncXvrJ7m2aXQfldncABoPiB7CffsrJEvop9Kw99ZMdl0QC9h+rRfSTvUSIOlk5SR3dl+Y99thjqK+vx8aNG1FaWipu6vHg8ssvx1133YXx48fHfe/dd9+Niy++GEuWLAEATJ06FVu2bME999yDGTNmAACqq6vx6KOP4ne/+12XQDv11FMxcuRILF++HEuXLtX5E/bC6tXAggUYsmcPLgGAvwB4cCiwYgUwd6555UoQu+/GoI4OsVvZs7OF3dvb7bkFsS1F7OrVmHDTAnj374kcG2qf5xWwrwPQ7oMHu4aWKzkZwmH7LqdwKhmtnYAu/TR+zx6MB4R+uss+7bHdB4d2XqYEiCX2waDYhctOKH2gxyPbq+yrV+P06xfAd9D++slWuhX2d3rbVT8peomTeOmhu+xcs2YNzjnnnC4hBQAXXXQRfD4f1qxZE/d9O3bswJYtW3DppZdGHb/sssvw0Ucf4dChQwCAdevWIRQK4Qc/+EHXOQUFBZg9ezZef/11jT9NEqxeDcybB+zZE328ulocX73anHIlQffdGOyGXQflgL0H5uFwpL7YxvaHn1fPfvs+r4B9l0SqhZQdZ5fsGloORMQfxZS1yFjtBDhCP9l9cGjXQbnHE3E+2dH2igPQ67VRNNHh5zXroH2fV8C+qQ3snhdN2czLbvpJ7Yiifkod3f3tVVVVuOqqq6KO+Xw+jBo1ClVVVb2+D0CPWb8JEyZAlmVs2bIFZ5xxBqqqqlBWVoaSkpIe5z333HMIh8PGJ+EKhYAFCwBZhgygTf2aUlv/8z+Bc86x/NZWilOhthYoKjK7NMlRVxdAZ2c7gBa0tmqcbbO1NfbfGhEOCxFVWwuoxiG2oK0N6OgIIhhsRyDQqr3ttSYUAm65JXZPYrPntb4+iM7OdoTDCdhd5zqcDIqzW5aBujprD378fj/C4TBCoVDXriPBoIxwOAwghFDI5Gk9lSfPBaCv0rhc4hGwqwPQqfmtMlI7AY7RT6GQ6MMDAdOb15RIqi+xGLIc0U92i7KoqxP6CWhFa2srvFbPFO8Q/dTZCbS1iTofChlc59PUYsp4ob7e+m1NLP0UCin6KYxQKMnOPEm9oyWSFAnWCIctXb1jopTbbHR3RNXX16MohgejuLgYdXV1vb4PQI/3FhcXA0DXe3u7fiAQQEtLCwpjrG3y+/3wq8J8mpqaAIjknYFAoNfP1BfS22/Dc3gmrw1AfqyTqquBfv3Sug9JjGXLdL7B4e0xSU9+9SuzS6ARNntek67zrMMJM2LECDz66KMxk0YfOGBCgXrhuFAIrj5GYkJISYfFoEEF0whlkO/3u1FYqIjZ5AiHw5BlGYFAAO5uSjJdLZAOmaidAOonq6G7fiJxuftus0ugETZ7Xk2t8w7XYnrqp0T0jtZIkoRwWDjT7Ob07ugA2ts9yM4GsrO11U5A4vrJkBXIUoxvR5blmMf7eq+yFaL6eLzrx3sNAJYsWYLFixf3OL5u3TrkxtuHMUGGvPMOTkrrCoQQQkh6NLW09BnV0tnpQiDgQmenjM5OGy0HAQ6X2wW3G2hubk7pGp2dnWhvb8c777yDoJIl+DBtbW1x3mUMmaadAOonQgghyZOI3tGajg43QiEJwWAIXq+9QrM7OtwAJLS2NqOzM/my96adgMT1k+6OqOLi4q4ZOjUNDQ29JttUZu/q6+tRpvIQNzQ0RL3e2/W9Xi/y8vJiXn/RokVYuHBh1/9NTU0YNmwYZsyYEXMWMBmkvDzgoYcAALkAWuKcF/zrXyGfeWZa99Kbqirg228ljBwpY9y4Pk5ubYV36FAAQGDPHiCO7Y3ivfdCePvtz/GjHx2NYcPslPVRhJR/9JGEvDzgrLNMbtyS/F63bwc2bw5j9+5/4ZprTrJ8aLn07rvwfPe7fZ5n9ee1pQXYsCGML7/ciP/6r6Mtb/fubNwI7NsnYdw4GSNHanxxDdumzs5OHDx4ECNGjED24eQMzc1AS0sbBgzIgcdjnWmxRERZIAC0tUnweIC8PLsJKREOHwi0oKCgICEHTc9rdCAnJwdnnXVW1/epoET7mEEmaifAWfrpvfckNDcDJ50kY8AAg2+eRpsXDgNr1oTx2WefYcGCo5Cfb6++ZOtWYNs2CcOHy5g4Mck3m6xjP/5Ywr59ITQ2vofvf/87lu/HnaKfdu0CPv88jF27PsK1155oebt35623JPj9wGmnyZYOPuuun2QZaGoC2tvbUFaWk1IfrmDGUnKvF+jslJCdLdtqd3ZARMO3tLShsDAfXq+22glIXD/pPjofP358j3wGfr8f27Zt65H/oPv7AJHvYJzKA7J582ZIktR1bPz48aipqUFdXV1UroPNmzdj7NixcSumz+eDL0at8Xq96TdAU6eK3SKqqyHJMnp0Y5IkXp81y/KLSgcOBA4dArKyEsgRpbZbUZHpjiivN4isrBwMHNgPRUX26lS8XiA/XyTdND03V5Lfq88H5OUFUVCQhaKiIut36LNmdT2vMfMc2OR5DQaF3fPzffawezcGDBAOnYTammTRsG3q6OhAbW0tPB4PPIez4kqSDJfLBY/HDY/HXhk33e5IngOXyzpOtEQQu7nKcLlEBE8qQtTlckGSpJh9v5nPUEZqJ8Bx+kmWdWrT+iKNNq+9XfQl2dk5GDiwCFlZ9upLysrEMh+vNwW7m6xjxYRAEKGQ1x79uEP00/79wu55eTbRrd0oLQUaG0XictPHDL3QXT8Fg4DLJfST2+02Jy9hGkT0k2S7ZOuAeF5dLu21E5C4ftLdbLNmzcKbb76J2trarmOvvPIK/H4/Zs2aFfd9I0eOxLhx4/DCCy9EHX/++edxyimndO0kM2PGDLhcLrz44otd57S0tOC1117D+eefr/GnSRC3W2xZCvTMlKj8v3y5pRtlBTvv/GLXXV+AiN2DQfFjJ5Sl31lZNkk445DnNWJ3ey2vUrDrTpHqZNkpC5FQCNiwAXj+efE7ZNx3aOdd8yLbPtuw8H2QkdoJcEx7DNhXPynl9XpDtst7AtjX7kCkzHbUT7KNn1fb2b0bdtZPQBp9uInaCYhUcbvl11QnKjfbgab77a+77joUFRVhzpw5WLt2LZ555hnccsstuPzyy6PCy6+++uqu2WWF++67Dy+++CLuuusubNiwAbfddhvWrVuH++67r+ucIUOG4Prrr8cdd9yBJ554ApWVlbjooosAALfeeqveHy8+c+cCq1YBQ4ZEHx86VByfO9ecciWJ0rjZbVvQzs7IQ2a3cElA9NmKM9luto906DZyiDjgeVUPHuyIXQcPEWdIihdYvRqoqBCRIJddJn5XVBi25fWKFb/FUUcNR0mJG3PmfE+3+3z++ee44IILMHDgQPTr1w+nn346/v73v/f5vvnz5+Ooo46K+dp1183HaacdbcvBcl9krHYCHNEeA/bVT7abTOqGXe0eDgvtCthTP0k2fl5tqVtVKPrJbnU+Lf1ksnYCgIcfFvqpXz83vve97+l6r/feew9nn3028vPz0a9fP5xxxhnYunVrr++Jp5/CYeCmm67EtGmnmK6fdF+aV1RUhLfeegu33HIL5s6di9zcXFx66aV48MEHo85Tb+WocPHFF6OtrQ0PPPAAli1bhtGjR+OFF17AjBkzos576KGHkJ+fj5/97GdobGzEpEmT8Oabb2LQoEF6f7zemTsXmDMHwfXrsfGNN3DceefBM3Wq5WcG1Nh1cKg0xl5v2HRvb6pkZ4v8LR0dQEGB2aVJnIjtbdahH35edz33Lg5+vg/FE8pxxBVn2uZ5VZ5Rn4+DByNJa0Zv9Wpg3rye4UjV1eK4ziJ+y5Yt+K//WojbbrsTM2fOxvDhpbrc58CBA5g2bRqOOOIIPP7448jOzsbvf/97zJ49G//85z9xyimnJH1NWXZ2RFRGayeA+slEnDKpoUxI2kUDKn2f2y2WK9mKw8/rF79/F50792HEqeUovdA++snuzle7tjUp6yeTtRMg9NPtty/ErbfeifPOm42KCn30EwBUVlbiggsuwLXXXouf/vSnCAQC+PDDD2PuPpgIVoqANySD85gxY7B27dpez1m5ciVWrlzZ4/gVV1yBK664otf3ZmVlYenSpVi6dGk6xdQHtxvy5Mmobm3FsZMn26ZRVlAaN2WmJivL3PIkit3DbAExMG9uttfAXJYBZWdvW9re7YY8eQr2FgOhMuAIGz2utnUAHkYtpETuH3PLkygRIZXkG0MhYMGC2IpAMcCttwJz5ujWb2zZsgUAMH/+tRg+/Ajd0qFUVlbi0KFD+OijjzDycCb6qVOnoqysDC+//HLKjigFu9SVZMlo7QQ4Rj/ZbXCo9CV2ndTIyhLOp3BY2F6DzRwNQakn2dn20n1duN3oPG0K9lYAxROBUhs9rnaPiLL/RF4Sb7KAdgIi+umKK65FRcURuiWJDwaDuOaaa/Bf//VfeOCBB7qOn3feeSlf00pLCW0yT0DMwuWKLG2zUwNn904FsKeI9fsj/YDXa6GWLgnsaHfA/s5Xny+SNFtxZtqBlKNy3n0X2LOn9wvv3i3O04H58+fjwgsvBAAce+woFBdLWLlyJQKBAG6//XaMGDECPp8P5eXlmD17NhobG1O+VyAQAAD0Uym1rKws5OTkQE5xak4tYBURO2XKFEiS1ONnypQpKZedkFSx6+DQ7hFRgD1tb+e8pgp2tLs6F6td67zdl+YlFQFosnYCovXT8ccL/fTUU/rop8rKSuzatQs333yzVsWP6YgySz/Za097YgrZ2WJg2NEBS28Lqsbu0SGAPTt09YyenZwJauxod8D+ycoVp3dHh/iJsRusJUk5ImrfPm3PS5K7774bY8eOxU9/+lM8//xq9O9fjnHjRmHJkiV49NFH8eCDD2LixIk4dOgQ1q1bB7/qgQ4msIOCy+Xq2ollzpw5KCsrw2233YYlS5bA5/Ph4YcfRnNzM+bPn59QebvfMxBADyfW73//+6gtg6urq3H55Zdj7NixCd2DEC3pvumIxyaK2+6TGoCwfWurvSaUIpFoFlo3kyR2nMiLjBcMz3WtGfZPVp7Em0zWTkC0fnr22dUYOLAcEyfqo58+/PBD9O/fHx999BF+8pOfYPv27TjyyCNx77334pJLLkmovFbWTzbpFomZ5OSIbUHtNDB3ipAC7NWxKHXEzo4oO+aXUCc5tbPzNTs74oiyCynnOCgv1/a8JBk1ahSOPPJIAMDxxx+PsrIKZGUBH330EWbMmIEbb7yx61wlibVCItvyXnHFFV1LxkpKSvDuu+/iggsuwJDDCW379euHv/71r5gwYUKf19q0aVPce44fP7Hrb/W1Ojo6cMstt2DcuHH47W9/2+c9CNEaj0cMbgMB0TfaJdej3Sc1AHtOKDEiyhzUE6itreaWJVUU3RoKifYmgS7aEqSkn0zWTkC0fjruuOMxZEgFcnP10U/79+9Ha2srrr76avziF7/AmDFjsHLlSvzgBz/AkCFDcMYZZ/R6rd7007hxkY1PzNJPdESRPrGzQ8QJQspOdld36GlEopqKHfNLKHZ3uWyY5FRFTg7Q0GAvEZvyri9nnil2Faqujp3rQJLE62eemXYZ+0K9BfEJJ5yAX//617j33ntx/vnn48QTT+yamVP4v//7vz6vWVoaSdxZU1OD733ve6ioqMBvf/tbeL1erFy5EhdeeCHWr1+P448/vtdrjRo1Cn/+85+jjnV0AL/4xWLs2rUj5nuuueYa7NixA//+97+Ra4eHmDgSu206IsvOWppnJ/2knsizK3YcL6gdgHZ1RLndQrt2dop6ZAdHlHp5WFL6yULaCYhMVuuln8LhMDo6OvCb3/wGN9xwAwDg7LPPxueff44HHngAa9as6fVasfRTayuwZMli7Ny5LeZ7jNRPdESRPrHzDIcTIqLsZPeIkLKvMwSICJL2dns5onJy7FVfumPHwYMippJ2ALrdwIoVYocXJTmWgqLKli83JEGzcjtZBu666y64XC48/fTTWLx4MQYMGICbbroJ99xzD6TDJx533HF9XlMtvn71q1+hvr4eH3/8MbIPN2znnHMOTjzxRPz85z/HX//6116vlZ2djZNOOinqWFsbUFLSH7t393RE/epXv8Kf//xnrF27FhUVFX2WlRC9yM6216YjnZ32z/MI2FM/qSfy7Iq6D7fLpiNOWBIJiHrT2SlsX1hodmn6JqKdktzFzULaSX3LcFgf/VRSUgJAOJ8i95QwdepUvPLKK31eK5Z+amoS+imWI8po/WSDRSfEbOw4OHRSRFQgYJ91604QUoD9ZvWcMJMK2G/wIMtpREQBYnvhVauAwYOjjw8dasj2wwrqGT2fz4d7770XO3bswNdff41rrrkG9957L5599tmu871eb58/V111Vdf5mzdvxrhx47qcUIAQUsceeyy2bYs9I9cX8XZ9eeONN7Bo0SL8+te/xrRp01K6NiFaYTf9pJTT57PHsvR42K0PB5yxNM+Om444Rbfara1xgnYCoify9NBP48eP737Lw/eTe0RbJYIsq/VTtAfQDP3EiCjSJ3YbHKodN3YOLfd4xE8wKGyfn292ifrGCUIKsF8UYERI2X9GD7CPkEo5UbmauXOBc86J7ASxZg0wY4ahW9UrWkZxrCmfZ/To0XjggQfw2GOPoaqqquv8ZEPLR4wYgVdffRXt7e3IOfxwhcNhfPLJJynPuMVyRH311Ve49NJLcdlll+G2225L6bqEaInd+hL1pIaSd9CO2M3uSioAwN4OEUmy36YjSh2xu26121hNHREVb2KpVyygnYDoiTw1WumnmTNnwuPx4B//+AfGjRsHQDih1q9fj2OPPTbp8saLPjNLP9ERRfrEboPDSH4D+0QSxSM7G2hpEZ/JDo4op0Xm2KXOO8Xudhw8ACLRZktLK9xud0ozVFEV7cQTU654ubm5XeHfySBJkVns733vezjppBNx/PHHIy8vD6+99hrq6uqiwsK7h3n3xY9//GM88cQTmD17Nv7zP/8TXq8XTz75JD7//HM8+OCDSZcXiD2b+t3vfhc5OTm4+uqr8eGHH3YdLywsTCgpOiFaY7e+RO0MUW2gZDsUu/v99th0RIkecrlErh87k5Mj6lF7O1BUZHZp+sYJDkDAfhFREcdNGK2tKeonjbQTkLp+Ujuivve97+HEE7XVT+Xl5bjpppuwaNEiyLLclax806ZNXQnNkyGe088s/URHFOkTpXGzy24M6qiclhZzy5Iuymewy8DcaR067W4sdhu0Kc6Q9vY2DB06VJuLlpWl/NaWlhbk5eWl9F6XS7Tx3/nO6Xj55Rfxm9/8BsFgEGPHjsWf/vQnnHPOOSmX6/jjj0dlZSUWL16Mq666CsFgEOPHj8err76Kc889N+nrhcOxZ/W2bt0KAJg6dWrU8cmTJ2PDhg2pFJ2QtLDb4NAp0bXqTUf8futHu6iXRNohr1Jv2K0fd0okv90iopQ+vKNDI/2UhnYCUtdP6qV5p512Ol56SVv9BADLli1DQUEBli5dikOHDmHixIn429/+hhNOOCHpa8WL5DdLP9ERRfpEmaGxy24M6ugQuzui7NShd3ZGGjg6RIzFaUJKGTz4fOaWpy9STlRuEebNmwf5sBpU2srbbrsdd955u+b3mjJlCqZMmZL0+2LN+CkC9g9/WImCgjCaDoduyEllPCVEf+w2OHRKdK0kic/Q1iY+k9X7RqcsDwPsNZEXCkWWoNq9ztutrVEvzbMjav3U0CCO/dd/3Y6f/ER7/eTxeHD//ffj/vvvT+p9vemnxx57CsFgo+q4OfqJjiiSEEq+gPZ26+/GEJlZsv+gxE4dulOSnAL2m8V2yuDB5RL1x+8XtreLIyo/Pxd79uxBYWFhakvzNCKdbXbVeaKsjt0FLMkclDY5EBD5Hj0WV91OmdQAxGdoa7NHP+6UqGbAXhN5ShndbutPsveF3XSr0o/n5TlDP8WL1LYaVptAtXiXSKxCTo7IF2CHBs6JM0t2srvThJTV80uod6dxgu1zcsTnaW+P5KC0KorocLkk5OXlIS8vz1QhlQ7xEm5aETqiiF3weiObjtgh16MT+3E7TeQ5we52nEB1gt2VzxAM2sPpregnt9sZ+ikctpd+ssoSYHt+48Rw2LGYgx2FlBMcgEp+CcD6WxD7/ZGdzqweQZQIdppNdZJDRBEldhBSaW37TIjB2KlNc5J+suNEnhP0kx3ruxPs7vFEorqsPmZQRw85QT/ZaSLPana3SDGI1WHHYg52sruTZlKV/BKA9Tt0td2dMDC30+DBSY4oLs0jRB/sMpEXCER2GnaSfrK63QHnOgCt3p84SbcC9hkzOG0ySZ2w3OpYTT9ZpBjE6thpcOikjkWxe2dnRCBaFScJKcA+HbqTHK+AfQYPsuwsMWWnGT2rCSlCesMufYnS5qojgu2MnXSrk/pxJTI7HI4kArcqTrI7YB+nt9P6cDvqJ6voVodUAaI3dhkchkJiVg9whkPE6xVJFIH/396dR0lRnf0D/1b39PTsCzDACAgIiiyiEOMSFRVfkeDC+1MSjRhEozkxgaPxHBPxTYia5MWcY4yaE/P6+mo0iWJcMJ5EFAkQTQhqVFBwBlGURZhhm33r6aV+f1zudDWz9VLLrarv5xwO0NNL9TO37n3uUrfUT6a82qCrHncvDbwC7ol7PJ6c+lKlQc+FcUWU6rN6Zg4A8k57ZDW3dA69Opmketx13VuxDwTcN/jqhbgD7ol7IiHaXS/kToB7BqKMx5frIKBZuRMHoigtbkukvHAHDMktDYtXG3S3lHnG3R6hoxVLR0cHAO/M6Gmae/aJMnM2Vf4eQ15pMEg5bmnDvTaZJOMu91FUVXd3sk7zwj6PgPrtuOS1/En1vppsZzs7vZc/AernTmZO4pmVOym+pz6pQlbScsWRqjm71xIpQHyX9nZ1GxbJa7F3y8ocr8Vd9QQ2GAyioqICBw8eRHm5uOVvV5eO7u5udHV1ufauL4Co2xMJcctzVet4410iu7sBXU9kFXtd19HR0YGDBw+ioqICQbn0lMhkqncOJa9NJoXDosMl6wxVv5dxMCQQUH8bhnRw8NUZqsfdmD9VVgKlpUUA3J8/GS9D7exUd6VXNCqOMxgEurrUyJ04EEVpkSuMolFRwanaSfFaIgW4Y0BE3i4WELFXfVYgHaoPiEheK/OyvMuGPT/f2ePpy8iRI9HQANTXH0R+PhAK6ejs7ERhYSE0VTOQNEQiohOUn6/urZ8TCVEXapooK7qeW+wrKiowcuRIC46USFC9cyh5bXWIvOlIZ6f4o+r38lobDrgjb5VtCeCd2Lth0HvkyJHYu1fkT01NQDDojfyps1MMehcWqjsQFYslB6Ly89XInRRNNUlFhYViIKqzEygtdfpo+ua1RgVwx4CIPDa5p5UXBqLckEgB3ivzgYAYCOnuFt9NxYEoTdOg69U4cGA4xo+PYsyYKN58803MmjXL1Zd4bd8OHDwIjB8PjBvn9NH0rbER2LIFKCoCpkwBotHsYx8KhbgSiix37E1HVC1ysh33yuoQQHyXzk6123GvteGAO/JWubJW5hxyMtXN3DDorWkaOjur0do6HDNmRFFW5o38adMmEfcZM4CKCqePpm+ffSZyvFGjkFPeambuxIEoSltBAdDSonYF59VEClA77l5OpOQtiFWc4TBucuq1Mt/dLc7nsjKnj6ZvolwEUVQUREFBELFYDAUFBa5OpAoLkzNmqp7LcvVlOCyOMRj0RuzJu+QETTwu6o3iYqePqG9ebsdVHhDxahsOqJ23GleiqZjfZUPGPRoV7aSqK5vF6qEgysq8kz+Fw0Bbm5iIV7UO7e4W5aKwEMrE3Z0XY5Ij3LDkk4mUM7w4AHjs/hIq8uImp4A7ZvW8WObd0HnwYh1P3ueGOs3LAyJuyJ+8VKe5IW/1YluSl5ccfFK1rvHa3c0lN5V5lep4WwaiVq9ejRkzZqCgoAATJ07EI488MuhrduzYgaVLl2LKlCkoLi7G2LFj8a1vfQv19fUpz/v73/8OTdN6/bnmmmus+jq+xUTKGewcOkPuLwGo27DIuIfD3rn7COCOzoMXy7zq5R3w5gBgf5g7eYfqdVos5u3OoRvyJy/VaaqXd8CbcQfUL/NevLs54I6+moqD3pYv2tu0aRPmz5+PRYsW4YEHHsDGjRuxdOlS5Ofn46abbur3da+//jreeOMNfPvb38Zpp52GL774AnfffTfOPvtsbN26FSUlJSnP/93vfoeTTz655//Dhg2z7Dv5lRsaFhVPslwZb0GcSKg54ODlBl3l/SW8HHdA3bgbV8l5Kfaqxx3w5gBgX5g7eYvq55Y8LrmiQg5KuR07h86Q30Xlm454Me6AKPNtber21byet6oad0DN2Fs+EHXvvfdi5syZePzxxwEAF154Ifbs2YPly5fjxhtv7PeWgddccw2+973vpezkPn36dJx66ql48cUXcf3116c8f9q0aTj99NOt+yKkfCKVSCQ7h15qWPLzxeCTvMNHUZHTR9Sblxv0xkZ1GxYvxx1Qt66JRJL7hnllk1PAHZsqq5hIWYG5k7eoPpHn1QFeN3UOvRR7N9x0xItxB9TvqzFvdYaqdze3dG1FJBLB+vXrey31XrhwIerq6rB58+Z+Xzts2LBetxM85ZRTEAwGsX//fkuOlwameiJ17B0wvET1Co4NujO8HndV6xovbnIKJDdVBtQt815NYo2YO3mPW9pwrw3wGuOu684eS1+iUTHoD3ivTlO9z+D1Mq963L1W3t2StxrzPBVYOhC1c+dOdHd3Y/LkySmPT5kyBQBQW1ub0ftt2rQJ8Xi81/sBwLx58xAMBjF69Gjccccd6FS1JLiYPMmMo6oq8WrnEHBPBefVBl3VzoPX465qefdqAguoPfgqL/MAvJfEGjF38h63tOFeO69Uv+mIjHt+vlqdQzOo3JYA3i3zquetXs2fjNuoqDjoreoAoKWX5jU2NgIAKioqUh6vrKwEADQ0NKT9XtFoFLfddhsmTZqEyy67rOfx8vJy/OAHP8CsWbNQWFiI9evX4/7770dtbS3++te/9vt+kUgEEUOr1NLS0vM5UZMvjpfvZ/b7OkHTNESjQGurjmO2mgCiUYR6/hm1fZOB1lYgFtOO7m+geyrueXniu7W06Bg+3OYPH+T3Go8DnZ1i5C8Y1CGe4o3YB4Mi7q2tokyppq1NQyzm3bjHYkBHh577hpYm100tLbKu8VbcASAUEnFvadFRVub00aTq6BBxDwQATbM+9k79Ppk7pR6/8W+3km14W5tNbUmGdZ7Mn7zWlgBAMKihq0vkrYMO9ticx8q4FxUly4VXYm/MW1X7Krou8iddh+facdXz1tZWb+atgQAQj2tHy5au3ICPzFtDIXv6yOm+b8YDUc3Nzairqxv0eePHj+/597HLxAd7vC9LlizBtm3b8OabbyIvL3nYM2bMwIwZM3r+P3v2bFRXV2PJkiV45513cMYZZ/T5fitWrMA999zT6/HXX38dRRZtwrN27VpL3tdOW7cORWdnHlpbG1Fe3p3ys2BXF2Sau2bNGsRtPgvr64uwZ08phg7tQlNTc8/jXoj73r0lqKsrxt69Hdixo9XWzx7s99rVFcSHHw5DIKAjEDiY8jO3x76tLYSamiEIh+Noajrs9OH0snXrMHR2BtHW1oCysmSl7/a4A8CWLcMRi2mIRI6gsDC3JZhm101795airq4II0d2oL4+eT56Ie6ffVaGw4cLceBAG6qr250+nBStrSHU1g5BQUEcQOr5aEXsOzo6THsv5k65cfu5FY1q2LxZzCJFIgcsv+lIpnXejh0VaGoK4/DhFnz2WXLZltvjDgA1NUPQ1hZCU1MThgwZeFmU3XnsoUOF+PzzMlRUdKOtrTHlZ26P/f79xfjiixLs2tWJzz5rcfpwUkSjAWzeXAVNAzTtQMpVFG6Pe0dHHrZtG4pQKIG2tkNOH04vH300BO3tITQ3N6GmJnk+uj3uAPDhh1WIRALo6GhASYlaA2v79hVj374SVFV14vDh5PloVdzTzZ8yHoh66aWXcMMNNwz6vM2bN/fM3snZPUn+X/58MPfccw8ef/xxrFq1Kq1NNb/+9a9jyZIleO+99/pNppYtW4bbb7+95/8tLS0YM2YM5syZgzKTp4Gj0SjWrl2Liy++GCGX36ty6FANhw4Bp56qY8yYY37Ynuy0XHLJJUBxsa3H9tFHwPDhGk44QceUKd6K+65dwLZtGkaOBE4/3eYZjkF+r4cPA/n5GoqLgQsvTM7oeSH2nZ1AUZFYgfHVr+rKXfKpaRricRH34mLvxB0ASko0tLQAZ5xhwipAk+umzZuBffs0TJmi44QTvBX37duBTz/VMHasjlNOcfpoUu3bBxQXaxg6FDj7bOvrGrnaxwzMnbLjpXMrFNKQSACzZ+vW33QkwzqvtFRDczPw5S/rGDHCW3EfMUJDXR0wdaoOwzhv32zOYz/+WOTVxx+vY/p08ZhXYv/FF8CWLRqqqoAzz1RrZU5Tk1gpV1AA/Md/eCtvjUaBggKRrF5ySRqrAG0WCmmIRIDzztNRXu6duANARYWGhgZg5kwdxx3n9NGk+uADYO9eDSeeqGPSJOvjnm7+lPFA1OLFi7F48eK0nhuJRJCfn4/a2lrMnTu35/GamhoA6HO/gmM98sgjuPvuu/Hoo4/iiiuuyPRw+xUOhxEOh3s9HgqFLDsRrHxvu5SWiruIxWLofbmM4YFQKNTHE6wVi4mlwGVlqR/tlbiLZc62h3XQ32s83nfc5fPdHPtgUHwnXRd/VNoEPxoVe1/k5YnyYUw23B53ACgpEZdixeMmlHmT66ZoNBl3r9U1ZWXiu5kSd5PJOv7YuAPWxN7M92PulBsvnFulpWKcw5ZzK8M6T9ZpXs2fDh1KM3+yOY/tL2+Vn+/m2Mu8NRpVry2ReWtJiffiHgqJvdHicfFHpUvEEon++wxujzsgylNLi5r5k91xT/c9LV0cHA6HMXv2bDz33HMpj69cuRLV1dUpy8L78uyzz2Lp0qW499578e1vfzvtz3322WcBAF/+8pczP2gakMqbD3p142ZA7c0HvbrhIyCu+ZZ9LtVi7+VNTgG1Nyz3cl2j8qbKXo67EXMnb1L13IrHkzcB8OK5pXLe6tWNmwG24U5StczL4/Hi3c0BlvlsWLpZOQAsX74cs2bNws0334yFCxdi48aNeOyxx/Doo48iYLhIfuLEiRg7dizWrVsHAHjjjTewaNEinHfeebj44ovx1ltv9Ty3qqoKEyZMAABcd911mDhxImbOnImCggKsX78ev/rVrzB//vy0lqJTZlQ+ybzcoBsblUQClu8vkQlVKzezFBSIuHd2AuXlTh9NkpcHAAF1Eyld93Zd44ZBby/G/VjMnbxH1fxJnut5eerN4ptB1bgDYtUv4M12XH6neFy9VVFeb0sKC8XqS9XKvNfjrmreCqgbe8sHos4++2y8/PLLuOuuu/D73/8eo0ePxsMPP4ybbrop5XmxWAzxeLzn/xs2bEA0GsUbb7yBs88+O+W5119/PZ588kkAwNSpU/H000/jl7/8JSKRCMaPH4+77roLy5Yts/qr+ZKqnZREQt1bU5ohP18MPiUS4tagKlUkqlZuZiksFPsJqFbm5fFYvteIQ1TtPHR1icEoTUuulvMS4y2IOejtHOZO3qNqJ8XLgyGAunEHvD2pIbc2iEbF9+RAlH1U7asx7s6IRsVlwIB6sbd8IAoA5s2bh3nz5g34nF27dqX8/+6778bdd9896HsvW7aMiZONVF1ablzu6cXOoaaJ2Hd0iNirVJF4vWFRtcxzRZQzjOVdtc3rzWAc9O7qUmug0+tl/ljMnbxF5cF1wLttuLFzKCcRVNDdLVYLAd6OvRyIKi11+miSmLc6g3F3hjyeUEi9rTwUmuskN5AnWTSabEBV4PXKDXBHx9yLVJ3h8EvcVWvQvbzyUlKxzMvLOwDvlnnyNrbhzpCTk4lEci8sFci4h8NqrTw1k+odc6+WeRXbcMBfcdcVulGkypMNHq36yCqhkNhHAFCrgvN65Qao2TFXebmnWZhIOUPGPRZLljEVeD3ugJplXh6LV/exIe9j59AZgYCag4BejzugZpnXdXHpOeDdCSUV23DA+2U+HBYrLo1lTAUqx50DUZQxFSs4lU8ys6iYSMljUXG5p1lUTKQA75d544CDSrH3etwBNQe9/RB38rZjbzqiCj+cWyrnrV4dDAHUjLtcreLVrTwAdfNWlVfmmMG4d6hKsVe5judAFGVMxQrODw06O4fOUDGR8vqd2yQVY++nMq9iHe/luJO3yf3XAM6W203FOs3rNxwB1O8vqLJfmNmOvemIKthXc4bKdTwHoihjKnYO/dQpV7FB90PcVdpfQiYXchN7r2KZd4aKiZQf9uYibzPW1yqdW6zTnOGHTjnLuzOMg96q5E+xmD/2eWTemhkORFHGVG7QVTzJzMK4O8O4fFuVhkUeh7we3atY5p2hciLl5dUD5H2qnVvGG894eUBE5ZU5Xm5LGHfnqBZ7453b5F7DXsS8NTMciKKMqZZIAWqfZGYxLrVV5W4Mfog7oN6snl865ao16PF4clWcl8u8anEH/LF6gLxPtXNLHkd+vnf3eQTUa8MBf+RPxjttq3LTET/EHVCvzPst7qr0kVXfyoMDUZQx1RIpvyz3lLf4NVYqTlO5cjOTamXeL51y1RIpWd6DQW/fuU3F/SX8ksSSt6nalnj9vFIt7qp3Ds1ivOmIKrH3Q9wB9co84+6M7u7kVh4qbs7PgSjKmGonmfHObV5e7qni/hJ+SWLlyiPG3V6MuzPC4eTqCMaeyDyq5U9+Oa+MlympsKJcrmxXtXNoJtXKfEeH+NsvZV61uHt9AlXGXX5fp8nfv1zMoBoFD4lUJ08yVZba+mV1CKBWw6Lr/om9qg0LEyl7+SXugFqxN+5j44fYk3epdF4B/qnT5B3SEgk17ljohzu3SapNKPnlxhcy7qrkrX5ZESXjrsqKctXreA5EUcZUW2qr+klmJpUGRORyT8D7DTo7D86Q38+4N5OT/BJ3QK0yr/qMHlG6VDqvAP9MJqm2opxtiTP8ss8joFbcAf+UeXnHQlW2UVE97kzpKCsqDYiofpKZSaWZJWMC6/XOIRt0ZxjvWKhC7P0Sd0CtMu+XzjJ5nzyvuruTq/yc5JdVCgDzVqeoGHfjhLpXqdSGA/4p85qmVuxVj7vHu49kFRUHRFQ9ycykUuXmxwS2q8v5pbbGSwv8FHsVyryfBkRUjLsfyjt5WyiU7ACr1DH3w7nFOs0ZjLsz5Hc03tDJSX6MvQplXvW+GgeiKCsqnWSs3Jzhlw0fgdRLgpxeais/PxAQS4C9TsXZVD+UeZX2l/BT3Mn7VGnH/XLnNokTqM5Qpbwbj8EPcQ8Gkzmi07E37pfEiTx7qV7mORBFWeFJ5gyVEim/bPgoqVLm/VTeATXLvB9ir0p5Nx6DH+JO3qfKuSU7h8b9k7xMlbgbj8EPdZpKdyz0U9wBdSbyZO7kl30eVYk7oP5Kfh8UB7KCSp1D1U8yM8nvqMJSW7816KqsEPFb3FXpPBjvEuqH2Bvjzs4DkXlUqdOMNwHw+p3bAHXiDvhrUkMOPqiwebOf4g6o01fzWxuuStwTCfXLPAeiKCuqjPYa79ym6klmpmAwuXmz07H3W8OiShLLuDtDfn5+vjgPvU4OeicSzt+x0G9lnrxNlfxJdlBkp8nrVJlM8ts+jypt3uy3toRxd4YqcTdu5SH7jqrhQBRlRZXNm/14W29VKjg2LM7wW9xVmVny08pLQNSnKtzu3G/72JD3sU5zhiqbN8u4B4Pev3ObpMrgq1/LvCp1jV/acFXi7obcySdddzJbfr4amzf7rXID1Kjg/DajB6gRd+Pn+y3ukYiztzv32+oBQI0VBJGIGIzSNHVn9IgywbbEGaps3uy3uAMs805h3J0hv2c87uyKcjfEnQNRlBVVltq64SQzmwpxl5tO+uXObYAanXLAf2U+FALy8sS/nRz0lr93v8ykAmrUNcYZbD/sY0Pep8rmzX66862kUp3GuNuruzs5meWX2Ku2+tIvcTdeCudk7N1Qx3MgirKmQgUnTzI/rVJQYYmzsVHxS+dQhUTK+PkqNyxmU6nM+7GuYR1PZB5VNm9mneYMP9ZpKsTdz1t5OL2Nih/LvAqT127oL/jkVCQrqNA5dMNor9k4AOgM4+bN8rJEu/ntzm2SCkmsH8s8405kPk1TY/81P55bKuRPbugcmk2FTrkfy7vx5ipOlXk/buUBMH9Kly0DUatXr8aMGTNQUFCAiRMn4pFHHknrdZqm9fozcuTIXs+rr6/H1VdfjbKyMlRUVGDRokVoaGgw+2vQMVQ4yTij5ww3VG5mU2HzZhn3cNgfd26TVCjzfq5rOKPnDOZO3uX0gIhxw24/nVsq1Gl+zJ/YhjvH6djLz83L889WHoDzcQfcUdfkWf0BmzZtwvz587Fo0SI88MAD2LhxI5YuXYr8/HzcdNNNg75+6dKluPbaa3v+n39MKY7FYpg7dy66u7vxhz/8AdFoFD/4wQ8wf/58vPnmm9D8ct2QA1Q6yfyYSEUiYqbBiSXGfu0cFhaKJc6dnUBFhf2f74ZGxQpOdx4SCXfcfcRsTneWAf+WeeZO3uZ0nSY/17gHnx+olLf6qU47dvNmJwYk/NhfAMT3bWtzfgLVj3EHnIu7rrujr2Z583Pvvfdi5syZePzxxwEAF154Ifbs2YPly5fjxhtvRGCQXvTxxx+Ps846q9+fv/jii/jggw+wbds2TJ06FQBw3HHH4ZxzzsGaNWswd+5c874MpXA6kTLO6PmpQZdLbeNxUckUF9t/DH5MpABR5hsbnZ9Z8lvcnR4QMd5u248zevKSUCc6rH6ta5g7eZvTnRS/tiVOx924L5jKnUOzyc2bIxEReycHoljm7eX3uDvVR5aLFYw3F1ORpWspIpEI1q9fj2uuuSbl8YULF6Kurg6bN2/O+TNWr16N6dOn9yRSAPCVr3wF48aNwyuvvJLz+1P/nO4c+nVGD3C+gnPDKLsVVCnzfos7Eyln5OWJ+hVwJvZumdEzG3Mn72Od5gynN2823nFY3lXLL5wu834dfHV6fy4/tuGA8/0Ft9xx2NKBqJ07d6K7uxuTJ09OeXzKlCkAgNra2kHf47777kMoFEJFRQWuvvpq7NmzJ+XntbW1vd5ffkY670/Zc3rzZr82KoCzFZyxc+i32Ds9AMjOgzO3O/dr3AFnOw/d3ckZPdne+AFzJ+9TpS3xW+fQeMc0J+5YaIy7yp1DKzg9EOXXMq9K3P2WP8m4d3eLK1js5pa4W7qOpLGxEQBQccxmKpWVlQAw6KaYixYtwmWXXYYRI0Zg27Zt+OlPf4pzzz0XH3zwQc97NDY29np/+Rk1NTX9vnckEkHEMHrS0tICAIhGo4jK671MIt/P7PdVQV6ehq4uoKVFR0UoiqOT5+K7Wvx9m5uBWExDfj4QjfbunXo77uK7t7ToVocZiKb+Xjtbo4hGNQQCQCDQ9+d7NfYy7q2tfZc5q7W2aojFgFDIX3EXl6KK797Wpmc+KBHNrW5qaRG/97w8f8UdAEIhEfeWFh1Hm13byDq+sBCIx/U+kzkrY+/U75O5U5JXz61QyOK2ZJA6z69tCSDqtPZ2oLlZ71nx2SPHtmIwg+WtPZ8L78VelvnmZhvy1mNEo0BXlxj581s77nTe2tLi37oGSOZPJSX2frLTeWu675vxQFRzczPq6uoGfd748eN7/t3fppeDbYb51FNP9fx71qxZOPfcczFz5kw89thj+MEPfjDg++i6PuD7r1ixAvfcc0+vx19//XUUWTR8uHbtWkve10k1NUPQ1hZCU1MTqoqacdnRx9esWYO4xVPYe/aUor6+CCNHduDAgdZ+n+fFuO/fX4wvvijBrl2d2LmzxdLPCnZ1pfxeG7tLsX37EBQUxAEcHvC1Xot9R0cetm0bilAogdbWQ7Z//nvvDUc8riESOYzCwv6nWLwWdwD48MMqRCIBtLc3oLQ0s4bz2DKcad20c2c5jhwpwIEDrdi7t/8lDF6M++7dpThwoAj797dj9Og2Wz/7yJEC7NxZjrKybkQijQM+14rYd5i4XIW5U268dm4lEsC7744AAHR3H0QoZG4HcbA676OPhqK9PQ8tLU2ore1/SbvX4g4AH39ciebmfBw50oyqqtRlUbm2FYPZt68Y+/aVoKqqE0eODJy7eS32Bw4UYffuUnz2WQS7dzfZ+tnt7Xn46CORuwUCA+duXot7JBLEBx8MQyAAdHQcsH0l3pYtVejuDqCj4whKSmL9Ps9rcQeArVuHorMzD62tjSgv77b1s3ftKsPBg4Woq2tHXV3/uZtVcU83f8p4IOqll17CDTfcMOjzNm/enDLzZiT/X5nh9Or06dMxadIkvPfeez2PVVZW9np/AGhqahrw/ZctW4bbb7+95/8tLS0YM2YM5syZg7KysoyOazDRaBRr167FxRdfjFCv6Rd3GzkS2L9fw5QpOk4Y0d7z+CWXXGL5Ltrvvaehrg6YOlWHIXfv4eW479sHbN6sYdgw4KyzLJ7haE/9ve5tKEZJiYaqKuDMM/uf0fNi7KNRoKBAtOKXXKIjGLT3sxMJ8dlf/Wrfn+3VuANAZaWGI0eAGTN0jBqV4Yvbc6ubNm7U0NgIfOlLOqqre//cy3HfuROordUwapSOGTPs/exPPxW/94E+28rYy9U+ZmDulB0vn1vhsIZIBDjvPB3l5Sa/+SB1Xl6ehu5uYNYsHX392rwc91GjgL17NZx0ko6TTjrmhzm2FYPZsgWortYwaZKOE0/s+zlejX19PfDuuxoqKoBzz7V3ZU5dHVBYqKGyEjjnHH/lrYkEkJ+vQdeBiy7KYkV5jp8t89Y5c/Q+N6n3atwBYNgwDQcPAtOn6zj+eHs/++23NRw6BJx6qo4xY3r/3Oq4p5s/ZTwQtXjxYixevDit50YiEeTn56O2tjblDixy2Xdf+xMMRj9mg5DJkydjy5YtvZ5XU1ODyy67rNfjUjgcRriPnQJDoZBlJ4KV7+2UsjLg4EHRSTZ+t1AohN5rns3V3S2WnJaVDfxRXo17Xp6IgeVf7ZjfaywWQl4eUFo6+Gd7LfahkLjuW67Yt7NB7+gQv/NwePDP9VrcAVHexGUNWZT5HOumaJR1jajj7f1sGffycmfqGjPfj7lTbrx4bpWWir1DLDm3BqjzYjHRQfRrnVZeLgYm+oy7xXms03Wak8rLbcxbjyHv+urHvBUASkrEHlFZ5U85aG8XcQ8GBx/T9WLcy8qAhgZn8yen6vh039PSzcrD4TBmz56N5557LuXxlStXorq6GjMynF7dsmULduzYgS9/+cs9j82bNw9bt25N2Vzzrbfewq5du3DppZfm9gVoUE7ejcGvG2YDqZuV2715s1s2wLOKU2WecRd/GyasbZFIJDe19WPsnazj/VrmmTv5g+yY2X1uydzJhvlCJamQt/ptw2wgGffubjEgYie/tiUS81ZnMH8anOU3vV++fDlmzZqFm2++GQsXLsTGjRvx2GOP4dFHH0UgkBwHmzhxIsaOHYt169YBAO6//3589tlnOP/88zF8+HBs27YNP//5zzFmzBjcdNNNPa+76qqrMH36dCxYsAArVqxALBbDHXfcgXPPPVcsqyVLOXWSxWKiMQP82aDLO78kEiKxsbOi8fMAICC+d3Oz/QMifk5gAec7bcEg+lxW7nUy7l1dYvWGnZej+rnMM3fyPnYOneFU3P18x2FArM7Izxe5e0cH+rwk1Cos88CRI87lT35swwHn6ppIxD13HLZ8IOrss8/Gyy+/jLvuugu///3vMXr0aDz88MMpCREAxGIxxA23xJk0aRJefPFFPPvss2htbUVVVRUuvfRS/OxnP0u500teXh5effVV3HrrrbjuuuugaRquuOIKPPjgg4Nu6Em5c+ok8/uMnqaJ2Le1idjb2bj69Ra4knE1mp2YSIm/2Wmzl6xjo1ERi9JS+z7bz7Fn7uR9TtdpbMNFZy1g6bUhSV1dYjAqEBCTiX5UVOTMQBQHRMTfzJ/sJSfy7J64lnEvKLCvfsuW5QNRgFgCPm/evAGfs2vXrpT/X3755bj88svTev/q6upeS9jJHoWFYlAkHhcjsHa1rX6v3IDUgSi7+H1GD3C+YfFr3I+9HNWuvrLfE1gguQrQzoEoN83oWYW5k7c5PZHn17YkHBYrO+NxEQuL76vTwzgA6Nex3qIioKmJAyJ2Y97qDJk3ystR82wZdXFX3qr4OBmpLhBIdhLsrODcdJJZxYlLlTij53znwa9lXl6OahwMtYPfEynAmTLvphk9omwYzys793pkneZMneb3AUDAmQGRaDS5J5Vf8yfmrc4wXrXjRP7khrqG6R3lTDYs7Bzay4nNmzmjxyXOTpGXowJs0O3mZKfNrwkseZ9sRxMJsQLQLjy3nG1LGHdn4i5XwvnRsZej2oX5kzOLBtwUdw5EUc7YoDvDibjLu4f5Oe7yu8vLUe3AGT2BAyLO4AAgkfmMg+tOTCj5+dxyYmUO4862xCnGQTi7Fg0Y7zjM/Il5a384EEU5c2LzZpk82HVtv4qcqNwYd3GZkKzc7Yq9jLufZ/QAlnmnONFpk5/l584DeZ/ddVo0mrzjsJ/PLSfbEsbd3stROXEt2F3m5efk5fl3Kw+AeetgOBBFOXNyhsMNJ5lVZNzlJnh24MyS4FSD7ufyDti/eiAWS65683OZZx1PZA2n2pJw2L6Nc1XEOs0ZTlyO6qZOuZXsLvMceBXsnsjTdXf11TgQRTmzu3NoHHhxw0lmlbw8ID9f/JsDIvZig+4Mu6+1l59j3HDSj5y4HJVlnvyAbYkz7I57PJ68TMnPsdc0+1eUM28V7O6rMe6C3eVd3lnaeDMxlXEginImKxm7Oyi8mxJX5jjF7hkOzugJLO/OsPty1EQieam332NP3sY6zRky7tGo+GM146SGnED0Kw6+OoNxd4ZxAtWOy1GNcXfDTaV83o0nM+Tn27tvDROpJLsHRLi3hMDOgzPsvhyVA4BJdpZ5+RnBoL/3liDvY+fQGca6xY7YM+5JdpZ5TmokMW91RkGBvZejui3uHIgiU9hZ4Nk5THJin4P8fH/vLQGw8+AUuy9HZdyTnBiIYh1PXifLeFeXuHzLajy3kuycyGPck+y8RExephQMuuMyJSvZvbUB+2qC3SvK3RZ3DkSRKezsqLFzmOTEQJRbKjcrGe8UmUhY+1nGvSUYew6IOMXOuLstkSLKlnH/OQ6u24t1mjPsHBBheU+y83JUt22YbTUn6hq3xJ0DUWQKOws8O4dJHIhyRjicvBxVLvu2CveWSMXOgzPsXD3gtkSKKBd21Wm8TCkVO4fO4GSSM+y8HLWrS9Q3xtVAfsYy3z8ORJEpuCLKGcbKzY5N8Iyf6Xd2NSws76nsWtZv7LQx9kykiKxi17nFvddSsU5zhoy7HKywEvOnVHbnrYWF7tgw22p2Xo7qtjLPgSgyhV2NayyW3OyNDXqykk8kkpdvWY1xF+xaIcIENpVdcefeEqnsvBzVbYkUUS7s6qRwhWcqu+LOy5RS5ecnL0dlmbeXXWWeeWsquy5HjUSSew26pa7hQBSZwq7KxniZkmzI/EzT7L9znlsqN6vJuLe1Wfs5TKRS2T0AyPIuhMPJmxRYGXtjp41lnvygpET8zc6hvWTcrR5cl5MagQAnNSRO5DnDrrqGeWsqu/sLhYWivnEDlxwmqc6u5ZdsVHqzq4I79vP8zu4GnQMigix/VncemEj1ZkeZl5draBr3liB/sKtTzrYklRxcNw5+W8EYd16mJNiRt+o6y/yx7OovcCIvlYx7d7e1G8W7sY/MgSgyhV0b0rFz2JtdAyIA95Yw4oyeMwoK7O88kGBHEstOG/mN8bINKwfX2Zb0Zkedxrj3ZkfeGolwUuNYXBHljLy85GpIK2PvxryVA1FkGlnBWcmNJ5nV7Lw0j3FPsqPzwL0l+sbOgzPsSGJZ3slvOLjuHDvqNMa9NzsnNdx0mZLVZNwjEWtX5rDM92ZHX82NA4A8Nck0ReF48j9vvpncMc1EbjzJrCYTKcsadMPvccQOa36vbmRH50HeDZF7S6Syo/MgzyfWNUl2JFIy7nZMbBCpwuqOOfde65udAyKMe5KdA4CMe1JeXvKqBqtiH4mIG0sBHIgysryvBneWeQ5EkTlWrcJJ/zkl+f9584Bx44BVq0z9GHZSerN0Zc6qVcCU5O/1pFut+b26ldVJrGxUSkp4mZKRnZ021jVJ7LQRWcPqjrnMD4JBXqZkZOekBtuSJDtW5jDufbO6zBtXQwWD1nyGG3Eir28ciKLcrVoFLFiA4IF9qY/v2wcsWGDaoEUsJjayBdx1klmtoEBU9rouNnA2zdHfK/ZZ+3t1M6sbFq7K6ZudnTauREsydh7kjKfZ3JhIEeXK6kFeY1vCSY0kq9vwRCJ1QokEO1bmsC3pm111DeOeyuq4y7zMeDd1N+BAFOUmHgduvRXQdfTKbXRd/H3bbaZcziUbq3AYCIVyfjtPMX3Jp+H32ovJv1c3s3pAhA163+wcAGSnLSkUsrbzwE4b+ZVddRrPq1Qy7l1d1gyud3aKlImTGr2xzDuDeasz7Iq72/ZEc9GhkpL+8Q/giy/6/7muA3v3iufliKtD+md6g27j79XNOLPkDKs7D4x7/6ws83JPNHbayG/YOXSG1YPrra3ib05q9GZlmU8keHl9f5i3OkPeCdh4dY+Z3Bp3WwaiVq9ejRkzZqCgoAATJ07EI488MuhrnnzySWia1uefuXPn9jzv73//e5/Pueaaa6z8SiTV1Zn7vAG49SSzg+kromz8vboZZ/ScYXXngXHvn5WdB2Pc2Wlj7uQnHFx3jpUdc1lPlpaa/95ux0kNZ9g16M1FA6kCgeTm7cxbk/Ks/oBNmzZh/vz5WLRoER544AFs3LgRS5cuRX5+Pm666aZ+X3fppZdi06ZNKY998sknWLRoEb761a/2ev7vfvc7nHzyyT3/HzZsmHlfgvpXXW3u8wbg1pPMDqYPiNj4e3UzWRZl5yHPxBo1GhXXfBs/h5KKi0V82tqA8nJz35t1Tf/s6LQx7syd/CYUAvLzge5ucR6YXafx3OpfSQnQ0HA0RhXmvjc75f2za1KDUhlX5kQiyUk9M3Al2sCKi0V5b28Hhg41973dWuYtH4i69957MXPmTDz++OMAgAsvvBB79uzB8uXLceONNyLQz4WMVVVVqKqqSnnstddeQzAYxNVXX93r+dOmTcPpp59u/heggZ13HjB6tNjAuq/9hDRN/Py883L+KLeeZHYwfUWUjb9XN7Oy8yB/lwUF5g5weUVK58Fk7LT1j50HezB38h9jnWZmW2Kc1OCASG9WDq6zTusf4+6MQEDsI9TRIeJk5kCUXImWl8eVaH0pKQEOHmSZN7L00rxIJIL169f3Wuq9cOFC1NXVYfPmzRm938qVKzF79myMHDnSzMOkXASDwEMPiX8fey2F/P+DD+Z8D09dZ+dwIKYv6zf8XnttQ2/i79ULTB8EROr7sbz3zaoklp22gdnRefB73Jk7+ZNV5xYnNQbGwXVnyH2zrNgzh3EfmFXbSjDuA7Oqjk8kkndNd1vsLR2I2rlzJ7q7uzF58uSUx6dMmQIAqK2tTfu93n33XezYsQPXXnttnz+fN28egsEgRo8ejTvuuAOdpt7HngZ05ZXACy8Ao0alPj56tHj8yitz/oiuLnGDNuM1tpRk3DPHtAru6O81UmXd79ULZKUvNyU1i0wQ/N4p749VcWenbWDsPFiPuZM/yX2ErGpL/H5e9cfYlvS1ADxb0ahYLW38DEoy5vNWteOMe9+sqms4mTQwqyau29uTK9HMXOFmB0vT7MbGRgBARUVFyuOVlZUAgIaGhrTf65lnnkFBQQGuPKbzW15ejh/84AeYNWsWCgsLsX79etx///2ora3FX//6137fLxKJICKnvQG0tLQAAKLRKKLRaNrHlQ75fma/r1IuvxyYNw+JN/6JD9fUo6uyGjNvPQf5hUHRGueosRGIxTSUlACxWHqZgi/iblBYqKG9HWho0E1rBPTLLsea/7kUQz76J2ZW70d4XDX0c88VK6EGiKufYl9QIMpmYyMQjZqXxTY2aojFgHBYT/sU8mPcm5qA7m594M2to1GEev4ZHbDsyrqmoCD936ef4g4A4bCGtjZR1xxzFVjWuruBjg7t6PurUead+n0yd0ry07llaltiqPOamqKIxWLKnFeqyc8HEgnR3ra0RCGvihysrRiMsS1JJHQkEum9zk+xLyzU0Nws2pJjqrucNDUxfxqIdXmrLPOMe19k3Jubga4u3bSLSox9ZFXy1nTfN+OBqObmZtSlcaes8ePH9/xb66eH0N/jx0okEvjTn/6ESy+9FGVlZSk/mzFjBmbMmNHz/9mzZ6O6uhpLlizBO++8gzPOOKPP91yxYgXuueeeXo+//vrrKLJoyc3atWsteV/VfFAxHpGuIHa9vB5lZeYU8Pr6IuzZU4rKygg6Opoyeq1f4r57dykOHCjCvn0dGDPGnGmOrq4gPvxwGAKBYhwZVgatvR1Ysybt1/sh9s3N+fj440oUFMRx8OBh095369Zh6OwMoqWlEdu3d2f0Wj/EXdeB998fjkRCQ1fXYRQUxPt9brCrC5cd/feaNWsQH2Dzgr17S1BXV4zhwzvQ0JDZeeSHuAPAp5+Wo6GhAAcOtKK6usOU92xtDaG2dgjC4QQCgUMZv96K2Hd0mPPdAOZOufLDuRWJBPDBB1XQNKC19QD62QYsLcY6b926t3CwvQKHDrVi797MyrQf4g4A27YNRUdHHjoO1WPh0ccGaysGc+hQIT7/vAzl5d3o7m7M+PV+iP0XX5Rg//5i7N7difHjW0x5z2g0gM2bxQyJrh/IuLPvh7i3tYVQUzME+fkJHDmSeXvbn5qaIWhrC6GpqRmffJLZkmk/xB0APvigCtFoAJ2dR1BcbM4tUvfvL8YXX5Rg2LAutLQ0Z/Raq+Kebv6U8UDUSy+9hBtuuGHQ523evLln9k7O7kny//Lng9mwYQP279+PhQsXDv5kAF//+texZMkSvPfee/0mU8uWLcPtt9/e8/+WlhaMGTMGc+bM6ZWw5SoajWLt2rW4+OKLEQqFBn+By1VVaThwAJg2Tce4cea85wcfAMOHazjxRB2TJqX3Gr/FffduYOtWDcOHA2ecYc4MR309kJ+vobwcOO+89N/TT7Hv6gL+9jcNmgbMnavn1HmQEglA1zXoOnDRRToKC9N7nZ/iDgBlZWJm6Utf0ge+gaNhI4RLLrlkwHXj77yjYdSozOovv8V9xw5gxw4No0frOO00c95z926guDjz+svK2MvVPmZg7pQdv51bhYViJcf55+s9l89kxVDnTZt2NlrixTjrLB3p3hTRb3Gvrgb27dMw+fjkNTODtRWD+egjYOhQDePH65g6Nf3X+Sn2+/YBmzdrGDIE+MpXzMlbDx8GgkENRUXA7NlqtCWqicWAoiIxoXHxxTrM+Lq6LiZJ4nHgggv0tC+L9FPcAaCyUsORI8Bpp+kYPdqc93z/fWDkSA2TJ+uYMCG911gd93Tzp4wHohYvXozFixen9dxIJIL8/HzU1tZi7ty5PY/X1NQAQK/9D/rzzDPPoLy8HPPmzcv0cPsVDocR7uNCylAoZNmJYOV7q6SyEjhyRHTQzfq6XV3i2tchQzJ/T7/EfcgQEaOODvPjXlmZ3Xv6IfahkLgDidzk2oy+WEuLuPoxFMru/fwQd0CUy/b2NOoaww9DodCAT+7sFGV+6FDWNf2RdY2ZdbyMezZ1PGBN7M18P+ZOufHLuVVZKS6z6OoS50LWDLGKRPKQV5DHOm0AlZXAgQNAJJJ+WzEYFes01ci2pLNTjf4C4I+4h0Jin6jOThEvMxazdnSI/SPz84GKit73rxr8mLwfd0DUNc3N5pb5XOoaq+Ke7ntaull5OBzG7Nmz8dxzz6U8vnLlSlRXV6csC+9PJBLBqlWrcNVVV/WZ/PTl2WefBQB8+ctfzvygKWdyFs+syWRdT76XBROuniHj3tVlyrZcABj3dJm98aN8n5xmxH1Alkuz4h6NJu88wtj3z1jezdrcl2U+ibmTf1m1iXA4LDqI1Dcr4i7fi/lT/0pKxIBFNGrezS9k3sq2ZGBml3kZd/k7pb6ZnbcmEsnNz91Y11h+T6Dly5dj1qxZuPnmm7Fw4UJs3LgRjz32GB599FEEDNewTJw4EWPHjsW6detSXr969Wo0NTX1e8eX6667DhMnTsTMmTNRUFCA9evX41e/+hXmz5+P008/3dLvRn0zu3Lr7EzeMY93YuhfKCQ2wuvqErHPaTb1KHYO01NaCjQ0mN+gM+4Ds2oAsKDAvJkqLyouFvVxPC7qZzNmUznonYq5kz9ZNRDFtmRgMj5m3c2qu1uskDa+N/Um8/q2NlHmc9iSqwcHANNTWgocPGjeogHGPT1m1/FtbWJCUPYB3cbSFVEAcPbZZ+Pll1/Gv//9b1xyySV44okn8PDDD+Omm25KeV4sFkM83nuz2WeeeQbV1dW48MIL+3z/qVOn4oUXXsDChQtx2WWX4aWXXsJdd93VayaR7GOc4TDcXCdrHGVPn5nJlNtH2e1k1cwS4z4wY3lP945EA2EilR5NS73lea7kKk7j+/odcyd/smoginXawIqKxOXwZrQjQLINLy6GaXfG8iozy7zxCgoOAA7MqryVcR+YjE9np9irK1duXzBg+YooAJg3b96gexTs2rWrz8eff/75AV+3bNkyLFu2LNtDIwsEg6JRb28XFVOut/dm5zB9paXAoUPmzHC4fZTdTlatzGGZH1hhobguPhYT9U2uDTETqfSVlop4tbYCI0bk9l6yvMuVViQwd/IfWfe0t4tBEbPOB9ZpA5OD4G3tgz83HW7vHNqptBSoqzMnf+IVFOkz+xIx5q3pCYXEpdKRiIhZmvce6Zfb81amfGQJMzvmbj/J7GRm3JlIpc/YeehjcUJGuE9RZqwo80ykBmdFHc+4k9/Jy4J13bzLxAC2JekwM0bMW9Nn5r6yxisoOKkxMLn62HgZabaMV1CwzA/OzEFAt+etPE3JEvKEMKNhcftJZicr4s5GZXDhcHLVWK6x5z5FmbEiiWWZH5ysa5qbc38v1jVESWaeWxLPrcGZmWMyb01febn424ybXzDu6QsGk6vGcs2fjFdQFBbmfmxex7w1iQNRZAnZsOSaSMXjHGXPRFmZWGLe3Z1cVZMt+btjg54es8o8V4dkpqJC/N3UlNv7dHYm9yliXTM4Wd7b2nJfBci6hijJrLZEkpcw08Bk3HPFfYoyU1Qkyqcx388W454Zs/NWxj09Mm/NNe7GKyjcmj9xIIosIU+y1tbcOiktLaJRz8/nKHs6AoFkQ5BrBSc79mYlZ14n45TrgIj8vTHu6TErkZKvLy3lkv50FBSIlYDGTlc2EonkLDbLPJH5A1EyH6OBmVX/yMH5YJA3X0iHppm3CpD5U2bMmshj3DNjrONzWQUo415U5N4rKJhukyUKCsTgka7ndg2sPMmYSKXPjIals1OsqjImCDQwszoP8vfGMp8es1YBcuA1c2aUeU42EKUypZNimAEc/vGbuS9b9IFQCCjMN8TpzeziZuyU807P6TFjhUg0KvbpNL4fDYx5qzPk3TRzXQXohbyVA1FkGTMaFo6yZ86MhsW4OoS3Hk6PcZ+DbG8BHY9zdUimzFoFyEHvzJlR1zCBJUpVUpLspLRncxe3VauAKVN6/jvqpnnAuHHicerfqlU45+Zk3DAvu7ixLcmcGSvKvbA6xG4y7h0dYiAvG7rOvlqmNM3cvpqb6xoORJFlzGhY2EnJHDuHzigsTK4CzPZSJa4OyY6ZZZ6JVPrM7Dww7kRCTp2UVauABQug79uX+vi+fcCCBRyM6s/RuIUO5R43tiWZk7GSOVA2mLdmLhQSA3dA9vkTL0XNjpkDUW6uazgQRZbJ9STj6pDsyEuVIhGgqyu79/BC5eaEXMu8F2Y3nJBr3HkpanaMewFmuwqQnQei3rIa5I3HgVtvBXQdva4Ik737227jZXrHMjFuXB2SnZISsbo5FhOrc7LBuGfHrLyVl6JmJte4e+VSVA5EkWVyvVSJq0OyY5yVyHalAmf0spPrChHGPTu57ovGS1GzU1goZlSzXQXIjcqJ+pZVJ+Uf/wC++KL/n+s6sHeveB4lmRg3rg7JjnEVYK75k5s75U7gBKozct0L0CuXonIgiixTVCQGkRKJ7Co4NirZy6Vj3tEhVocEAlwdkqnKSvF3Y2N2r2eZz05ZmSivkUh2s6mMe/ZyKfMyAQuHOdlAZGRsw9OeyKurM/d5fmFi3IyTSVwdkhnZljQ0ZP7a7u5k289JjczkEncg2fYz7pmRE5+xWHY39ZJxd3veyoEostSQIeLvbCo4+Rr5HpQ+GbMjRzJ/rYx7eTlXh2RKxr21NfONH6PRZGMkEwNKTzCYTIKyqWvkecK4Z86MOp5xJ0pVUiJmuePxDFYbVleb+zy/MDFuzFuzZ0ZbIs8bSl9FhRg07ezM/M7D8XhyoQHLfGY0jX1kgANRZDGeZM4YOlT8ndFs6lGMe/by88VtWYHMy7x8fnGxWCFCmcm2rkkkkrPY8ryh9JlRxzPuRKmy6qScdx4wejT0/pbiaBowZox4HiUdjVu/S5gyiBvzp+zJCYlsJvIY9+zl5SWvfsi0HZd9jIKC5KbnlL5s8yddT66IcnuZ50AUWSrbk6yjQ2y0HQi4f9mhE4qLs78skg16brIt8+yU5ybbuMtEyjiISOmrqBD1dFdXZpdF6jrrGqKBZFynBYPAQw8BAHptuy0HWR58kEudj2WI27GDUXoGcevuFntEAazTsiEHM3Q9820lmD/lRsYt27yV5T072eatcrDWOIjoVhyIIkuVl4tOirGBTgcvD8tdNhWc8fIwNizZyXUginHPTrazqYx7brK9LLK9XbQLwaD7EykiK2TVllx5JXbf/wK6ho5KfXz0aOCFF4ArrzTt+DzlyitFfEalxk0/Lv24yd9TaSkvD8tWNmU+Hk8OXLEdz062+0Qxf8pNtpdFGrc1cPtedHlOHwB5WyAgTpQjR8SfdO8iIvdsYeWWvSFDgPp6EcsJE9J7jYy7XFFFmZNlVq60CaQx3G+8PIxlPjvhsCi37e2ikR4xIr3XcSY1d0OGiGXiDQ2iv5sO475c6ZwjRH4jVxtGIqJeS3fF5menXYmt/zcf5yT+gSGROrG30XnncVZvMFdeCcyfD/zjH/j0H3U4GKzGyK+dhxNOTC9uzFtzN2SIuIFhJvubNjaKVVS8PCx7ssy2tIiJvHQGUr10eZhT5Iqm5maRPx0zDt4vLw0AMv0jy8kO3qFD6b9GPpedw+wNGyb+PnIk/X2iZNzlaylzJSUiIUok0k+m5O+ooICXh+VCltt06xrj74h1TfZYxxOZT07kAemfWx0dYtBKywui9PILgG98A7jgAg5CpSsYBC64AIGF38CRUy7AoYb048b8KXcydo2N4m5i6Th8WPzNtiR7xtwz3by1qSk5aMVVzdmTZV6W48HourfyJw5EkeWGDxd/Hz4sTqDBtLWJJYqBABv0XJSViVUisVj6t1aXlZv8nVF2ZPwOHkzv+fJ5jHtuMo27THbDYSZSuRg6VNTXshM8GF1PJl1VVdYeG5GbZVqnyTa8spKXh+VC1kuHD4tLvwbT1ZXc1oB5a/aKi8Wqpkwm8pg/mSPbvLWqyv2XhzlJ1jXpxr25WWxrkJfnjTsOcyCKLFdRIRKiaDS9ARGZSA0Zwkm8XGhaZhVcz0yqxkQqVzLu6c5iy+exU56boUNF+W1vT2/jbCZS5sjLSy4RT6euaWxMzqTyZhRE/TNO5KWzspmdcnOUlgKFhekPiMi4V1RwW4NcZTIgEokkb8jD/Ck32Q56M+65GTpU9HW7usSlkYMxrrz0wrYGHvgKpDpNy6yCYyJlnmziXlkpOpaUPTmw0do6+AaEnZ3iecaBQ8pOKJTZgIhxIIpyk01dwwFAooHJlc3x+OADIokEVxqaKZMJJa4mN08mbYmMe3m5OE8oe3Jls8xJB9LdndzXlGU+N8arf/zYR+ZAFNlCnjD19QM/LxpNNizpbjZM/ZMdvZaWwVeI1NWJv0eOtP64vC4USi6ZlXHtj/w5L6UwR7p1TXu7OC+MA+WUPePKjcHuWijLPOt4osGlW6cdOpS81FjeyZKyJ+unwdrweBw4cCD1NZQ946Xeg60Qkb8btuG5CwaTAyKD1TX19eIS+7Iysb8U5SbdOr6rK7lRuVfKPAeiyBYjRoiGpbV14IbFWLmle4c96l9+frJh2bev/+dFIsnZ1uOOs/64/EDGcf/+gZ8nf864m0PG8fBhUa77I+M+bBgvpTBDaan4k0gM3HFraRH7AAYCHPQmSoexLRno8jxjW8KVhrmrqhKrwzs7B76t/cGDYjCqqIiXGpshLy85oDdQ3hqNJleHpHu3MRqYrGsGijvAvNVs1dWizm5sHHifTePEdWGhPcdmNQ5EkS1CofQaFvkzVm7mkQ30QHHfv18MAHqpcnOa7Aw0Nva/Gq2jQ/xc01jmzVJUJMqxrg88CMi6xnzp1jWAmM3jJcBEg6uqEoPl3d3931kpHk/OprNOM0cwKDqIAPNWuxnbkv5uclRfLwZm5SQI5W7kyMEXDUQiyXqIZd4c4XBy0YDf8lbLB6LWrl2La6+9FhMmTICmaViyZEnar41Go1i2bBmqq6tRVFSECy+8EB9++GGv59XX1+Pqq69GWVkZKioqsGjRIjQMNH1BjpANyxdf9D2r196evCzPSyeZ04wNS3+bxe/aJf7mrJJ5jA3Lnj19P2f3bvH3sGHc38BMshz3F/eGBnE+BALJjgblTsb98OG+B18TieTvZPRo+47LjZg7kaRpg9dp+/aJy/LkQDyZwzgg0tfd87q6kgOAzJ/MIycqOjv7H3yV+RPjbp5QKHnJV391zZ49yYnr4mL7js3rjHV8X4OvLS3enLi2fCDq1VdfxZYtW3D++eejIsM1q9///vfxm9/8Bvfeey9efvll5OXl4aKLLkK94SLKWCyGuXPnYuvWrfjDH/6A//u//8M///lPzJ8/H3p/w+jkiBEjxLXEXV19j/jKwZDhw1m5mSkUSlZwn33W++eHD4tLZYJBdg7NNnas+HvXrt5JbDyeTKTGjbPzqLxv9GhRnltajg5uG4P/5pv4/NN4z/O4L5d5ioqSG/z2VdfU1YnZ1IIC7qUyGOZOZCTbkvr6vgd5P/9c/D1uHC/LM9OwYaJei0aBvXt7/3zXLtFpHDJEbClB5ggGgTFjxL/7akuamkSnPBAAjj/e1kPzPJmP7tnTe7/HRCLZV2Peaq7jjhP5aEdH33tFyTq+utpb+3JZPhB1//33o6amBk888QTKM9g9cd++ffif//kf3Hfffbj55ptx8cUXY9WqVdB1HQ8++GDP81588UV88MEHeP755zF//nwsWLAAf/zjH/HPf/4Ta9asseAbUbYCAWD8ePHvTz5JXRXV2Zms3ORzyDwTJoi/6+p6L7fdvl38PWYMO+VmGzlSDKpGo8lGRPr8c/F4URE75WYLhZLJ6eHHVgFTpiR/OG8epswbh5H/WsW6xgKyrtmzR0w6SIkE8PHH4t/jxnnjtsNWYu5ERqWlYpBX10X+ZCTbdWPnncyhack67dNPU+c0uruT7foJJ9h/bF53wgki/gcP9l7NL/PWUaO4mtxsVVViUDUeB3buTP3Z7t2iXQ+HvbUqRwXBYHJw75NPUldFtbcnB8K9lrdangoGssw2X3/9dcTjcVxzzTU9j5WWluLyyy/HK6+80vPY6tWrMX36dEydOrXnsa985SsYN25cyvNIDWPHir0O2tpEoy5t2yY6KkOGeOdOACopLRWj6LoObN2aHATcs0c08MEgcOKJzh6jF2laMq47diQ3IWxvT3YmJk3iDLYVJkwAjntrFU7+rwXQj9ngo+DIPpx+3wKU/W2VQ0fnXVVVoh6Px0VdI+3cKcp9OOy9RMoKzJ3oWCedJP7esyd5c5FoFPjoI/HvCRN44wUrjBkj9s7s7EwOpgMib43FxB0KeeMF8xUVJVfpf/hhMm/dv1+sdA4EmLdaRdY1O3eKbQyA1PI/aRInk6wwfryYSG1uTg5yy36brov+8ZAhzh6j2ZQtRrW1tRgxYgSGHBPxKVOm4OOPP0biaI1UW1uLyZMn93r9lClTUFtba8uxUvpCIUDmvR9/LGY1Nm8WyxADAWDaNGePz8umThXX3Dc0AO++KwZCZEfxpJO8tdRTJaNHJzvmb70lVv69/bZIYIcM4f4GVinMj2P6E7cC0HHsOJ8GHdAA3HZb3xt/UE5OOUUMrtbXi/p9+/bkDPaUKdyk3ErMnbxryJDkSs9//1t0VN5+W3QQi4qSK3fIXMFgMjfduROoqREDI/v2iXpu2jROJlll8mTRb2hpAd55R8R/yxbxswkTuI2HVaqrxaBHIpHMW996Swx8l5dz5aVVwmHg5JPFv2tqxAT2+++LgddgMNl/9hJl08HGxsY+90WorKxENBpFW1sbysrKBnxeTU1Nv+8fiUQQMdzbu+Xo9UrRaBTRYy+KzZF8P7Pf161GjBCd8127NBjz3VNP1XuuxTcD454qLw+YPh3497817NtnvPuCjuOPNy/uAGN/rOnTgX/9S0NLi+iYA6LjMH26jljMvM9h3JO0N95AqP6L/n+u68DevYht2AD9/PNz+izGPVVhoRhw+uADreeSawAYN07HiBHuqWvc+Pv0Uu4k39f4t99NmgQ0NmpobEx2yEMhkT/pOvMnqwwdKi6b+fRTLWVV1NSpOkpL3VOnuU0gAJx2GvD22xrq6pK3rx8+HDjhBJ1xt9C0aSJvbWtL5q0FBaKuicfNm8Nj3FONGiUGnr74QutZ7appor8QDrunjk/3fTMeiGpubkadrAkGMH78eIRzvHBX62OKQW6iafxZf8/r63FpxYoVuOeee3o9/vrrr6OoqCibwx3U2rVrLXlft2poKMCRI4UIBnUMH96BrVu7Uy7lMAvjnqqjIw/19cWIxQKoqOiCpnX2uTGeGRj7pGhUQ11dCTo68lBUFEN1dRvWr7dmU2DGHRj15ps4PY3nbXn1VeyT10zmiHFP1dYWwsGDxUgkNAwZ0olAoKvfO/HkyorYd/S1K3SWmDvlhudWUjwO1NcXo7U1H+FwHNXV7di40ZqVnYx7qqamAhw+XAhN01FV1YHa2m5YtYCQsU/q7MxDXV0xursDqKiIAOjAq69a81mMe1IspqGurhjt7SEUFsZQXd2Ov/+9j9uem4BxT9J14MiRQjQ0FCAYTGDEiA5s2RLtmXwwk1VxTzd/yngg6qWXXsINN9ww6PM2b96M0047LdO371FZWYnGPu4139TUhFAohOKj6zEHel7lAPewXbZsGW6//fae/7e0tGDMmDGYM2cOyky+9UU0GsXatWtx8cUXI8TdoG3DuDuHsXcG456kFRcDDzww6PNO++pXcaoJK6IYd2dYGfuWY+/skAPmTtnhueUMxt05jL0zGHdnMO7OsDru6eZPGQ9ELV68GIsXL870ZRmbPHkyDh48iIaGhpS9DmpqajBp0qSejTwnT56MLX0MEdbU1OCyyy7r9/3D4XCfs46hUMiyE8HK96b+Me7OYeydwbgDuPBCcQ3wvn2ptx+RNA0YPRp5F14oLr43AePuHCtib+b7MXfKDc8tZzDuzmHsncG4O4Nxd4ZVcU/3PZXdrHzOnDkIBAJ47rnneh5ra2vDX/7yF1x66aU9j82bNw9bt25N2Vzzrbfewq5du1KeR0REPhIMAg89JP597KVG8v8PPmjaIBSRCpg7ERERkRtYvln57t278e9//xuAuF5w586deOGFFwAACxYs6HnexIkTMXbsWKxbtw4AMGrUKHznO9/BD3/4Q+Tl5WHs2LG4//77AQC33XZbz+uuuuoqTJ8+HQsWLMCKFSsQi8Vwxx134Nxzz8Ull1xi9dcjIiJVXXkl8MILwK23Al8YNi4fPVoMQl15pWOHRjQQ5k5ERETkZZYPRG3YsCFlX4TXXnsNr732GoDk5pkAEIvFED9mC/4HHngAJSUl+NGPfoTm5maceeaZWLduHUaOHNnznLy8PLz66qu49dZbcd1110HTNFxxxRV48MEHB9xwk4iIfODKK4H584F//EPccqe6GjjvPK6EIqUxdyIiIiIvs3wgKt19EXYZ7/F8VH5+Pu677z7cd999A762uro6ZRk6ERFRj2AQuOACp4+CKG3MnYiIiMjLlN0jioiIiIiIiIiIvIUDUUREREREREREZAsORBERERERERERkS04EEVERERERERERLbgQBQREREREREREdmCA1FERERERERERGSLPKcPQBW6rgMAWlpaTH/vaDSKjo4OtLS0IBQKmf7+1DfG3TmMvTMYd2cw7s6xMvYyH5D5AfVmZe4E8NxyCuPuHMbeGYy7Mxh3Z1gd93TzJw5EHdXa2goAGDNmjMNHQkRERKpobW1FeXm504ehJOZORERE1JfB8idN51QfACCRSGD//v0oLS2FpmmmvndLSwvGjBmDvXv3oqyszNT3pv4x7s5h7J3BuDuDcXeOlbHXdR2tra047rjjEAhwJ4O+WJk7ATy3nMK4O4exdwbj7gzG3RlWxz3d/Ikroo4KBAIYPXq0pZ9RVlbGk8wBjLtzGHtnMO7OYNydY1XsuRJqYHbkTgDPLacw7s5h7J3BuDuDcXeGlXFPJ3/iFB8REREREREREdmCA1FERERERERERGQLDkTZIBwO4yc/+QnC4bDTh+IrjLtzGHtnMO7OYNydw9h7G3+/zmDcncPYO4Nxdwbj7gxV4s7NyomIiIiIiIiIyBZcEUVERERERERERLbgQBQREREREREREdmCA1E52rFjB+bOnYvi4mIMHz4ct956Kzo7O9N67VNPPYWTTz4ZBQUFmDZtGp5//nmLj9Y7sol7S0sL7r77bpx55pmoqKhAVVUV5s6di/fff9+mo/aGXMq89NJLL0HTNEybNs2io/SeXOLe0NCA7373u6iurkZBQQFOOukkPProoxYfsTdkG/f29nbceeedmDBhAoqKinDiiSfi7rvvRiQSseGo3e/TTz/Fd77zHZx22mnIy8vLqK5g2+oOzJ+cwfzJGcydnMP8yRnMn5zhpvwpz9J397impibMnj0bY8eOxYsvvoiDBw/i9ttvx5EjR/DHP/5xwNe+8MILWLx4Me68807MmTMHf/7zn3H11VejvLwcc+bMsekbuFO2cd+zZw8effRR3Hjjjbj33nsRjUbx0EMP4Stf+Qr+9a9/YebMmTZ+C3fKpcxLnZ2duP322zFixAiLj9Y7col7W1sbzj//fBQWFuKhhx7C8OHD8cknnyAajdp09O6VS9xvueUW/PnPf8bPf/5zTJs2De+88w5+/OMfo6GhAQ8//LBN38C9PvroI7zyyis488wzkUgkkEgk0nod21Z3YP7kDOZPzmDu5BzmT85g/uQcV+VPOmXtvvvu04uKivRDhw71PPb000/rAPSampoBX3vyySfrX/va11IemzNnjn7mmWdacqxekm3c29ra9Pb29pTHOjs79erqan3x4sWWHa+X5FLmpR//+Mf6rFmz9Ouvv16fOnWqVYfqKbnEfdmyZfqECRP0jo4Oqw/Tc7KNezQa1QsKCvTly5enPH7LLbfow4cPt+x4vSQej/f8O5O6gm2rOzB/cgbzJ2cwd3IO8ydnMH9yjpvyJ16al4PVq1fjP/7jPzBs2LCex6666iqEw2GsXr2639d9/vnn2L59O77xjW+kPH7ttdfinXfeweHDhy07Zi/INu7FxcUoKipKeaygoACTJ0/G/v37LTteL8k29tLOnTvxy1/+kjMaGcol7k888QS+9a1vobCw0OrD9Jxs467rOmKxGMrLy1Mer6iogM4b1aYlEMg8PWHb6h7Mn5zB/MkZzJ2cw/zJGcyfnOOm/IkDUTmora3F5MmTUx4Lh8OYMGECamtrB3wdgF6vnTJlCnRdx/bt280/WA/JNu59aW9vx+bNm3u9H/Ut19jfeuutWLRoEU499VSrDtGTso37559/jgMHDqCyshKXXXYZwuEwhg4diu9973sZ703hR9nGPRQK4YYbbsCvf/1rvP3222hra8OGDRvw2GOPYcmSJVYftm+xbXUP5k/OYP7kDOZOzmH+5AzmT+7iVNvKPaJy0NjYiIqKil6PV1ZWoqGhYcDXAej12srKSgAY8LWUfdz78qMf/QgdHR2s3NKUS+z/8pe/4F//+hd27Nhh0dF5V7Zxr6+vBwDccccd+NrXvobVq1ejpqYGy5YtQ3d3Nx577DGrDtkTcinvv/3tb/Gd73wHZ511Vs9jS5cuxfLly80+TDqKbat7MH9yBvMnZzB3cg7zJ2cwf3IXp9pWDkTlSNO0Xo/put7n44O9Vi45TOe1fpdL3KVnnnkGDz74IH7zm99g4sSJZh6ep2UT+66uLtx222245557UpbpUvqyibvcoHDy5Ml44oknAAAXXXQRotEo7rjjDvz0pz/FyJEjrTlgj8i2rrnzzjvx17/+Ff/7v/+LSZMm4b333sNPfvITVFZW4p577rHqcAlsW92C+ZMzmD85g7mTc5g/OYP5k/vY3bby0rwcVFZW9owgGjU1NfWMIPb3OgC9XtvU1JTyc+pbtnE3Wrt2LW644Qbccccd+O53v2v2IXpWtrF/8MEHEQgE8I1vfANNTU1oampCd3c3EolEz7+pf9nGfciQIQCA2bNnpzw+e/ZsJBKJjC/F8Jts475t2zbcf//9ePTRR3HzzTdj1qxZ+P73v4+f/vSn+O///m8cPHjQysP2Lbat7sH8yRnMn5zB3Mk5zJ+cwfzJXZxqWzkQlYPJkyf3qogikQh27tw54DXz8mfHvrampgaapuHkk082/2A9JNu4S++88w6uvPJKfO1rX8MvfvELqw7Tk7KN/fbt2/Hpp5+iqqoKlZWVqKysxMqVK1FbW4vKysqe2SbqW7ZxnzBhAvLz83s9Lmc4stnQ0E+yjXtNTQ0A4LTTTkt5/LTTTkMsFsPu3btNP1Zi2+omzJ+cwfzJGcydnMP8yRnMn9zFqbaVZ1EO5s2bh3Xr1uHIkSM9j7300kuIRCKYN29ev68bP348Tj75ZPzpT39KeXzlypU444wzuPx2ENnGHRAn2Lx583DOOefgd7/7HZfxZyjb2N95553YsGFDyp9LLrkE48aNw4YNG3DFFVfYcfiulW3c8/PzcfHFF2PdunUpj69btw55eXmYMmWKZcfsBdnGfezYsQCA9957L+Xxd999FwAwbtw48w+W2La6CPMnZzB/cgZzJ+cwf3IG8yd3caxt1SlrjY2N+qhRo/RzzjlHf+211/Tf//73+rBhw/SFCxemPO/GG2/Ug8FgymPPPfecrmmaftddd+kbNmzQb7vtNl3TNH3NmjV2fgVXyjbuBw4c0MeMGaOPHDlS/9vf/qZv2rSp58/7779v99dwpVzK/LGuv/56ferUqVYermfkEve3335bD4VC+je/+U19zZo1+q9+9Su9qKhIv+222+z8Cq6UbdxjsZh+xhln6MOHD9d/+9vf6uvXr9d/8Ytf6MXFxfrVV19t99dwpfb2dv3555/Xn3/+ef2CCy7Qx4wZ0/P/gwcP6rrOttXNmD85g/mTM5g7OYf5kzOYPznHTfkTB6Jy9PHHH+tz5szRi4qK9GHDhulLly7VOzo6Up5z/fXX632N+T355JP6SSedpOfn5+tTpkzRn3vuObsO2/WyifuGDRt0AH3+GTt2rM3fwL1yKfPHPofJVPpyifvrr7+uf+lLX9Lz8/P16upq/Yc//KHe3d1t16G7WrZxP3DggP7tb39bHzdunF5QUKCfeOKJ+p133qm3trbaefiu9fnnn/dbX2/YsEHXdbatbsf8yRnMn5zB3Mk5zJ+cwfzJGW7KnzRdP3qxKxERERERERERkYW4RxQREREREREREdmCA1FERERERERERGQLDkQREREREREREZEtOBBFRERERERERES24EAUERERERERERHZggNRRERERERERERkCw5EERERERERERGRLTgQRUREREREREREtuBAFBF50p///Gc88sgjaT133Lhx0DQNmqbhj3/8Y9qfcc011/S8bsmSJdkeKhEREZESmD8RkR04EEVEnpRJIgUACxYswKZNmzB37ty0X/Ozn/0MmzZtwsiRI7M5RCIiIiKlMH8iIjvkOX0AREQqGDFiBM4666yMXjNx4kRMnDgR4XDYoqMiIiIiUhfzJyLKBldEEZHnLF68GE899RQ++uijnqXfixcvzvh9Nm7ciFmzZqG8vBylpaU45ZRT8NRTT5l/wEREREQOY/5ERHbhiigi8pwf//jHOHToELZv346nn34aAFBVVZXRe7S0tODSSy/Fueeei5UrVyIcDqOmpgZNTU0WHDERERGRs5g/EZFdOBBFRJ4zYcIEVFVVYffu3RkvF5d27NiB5uZmrFixAqeccgoA4KKLLjLzMImIiIiUwfyJiOzCS/OIiPowYcIElJWV4ZZbbsFzzz2HQ4cOOX1IREREREpj/kRE6eBAFBFRHyorK7F27VqUlpbim9/8JkaOHIkLLrgAW7dudfrQiIiIiJTE/ImI0sGBKCKifpxxxhl49dVX0dTUhL/85S84ePAg/vM//9PpwyIiIiJSFvMnIhoMB6KIyJPy8/PR1dVlynsVFhZi3rx5uOWWW/D555+b9r5EREREKmH+RER24GblRORJkydPxhNPPIGVK1fixBNPxLBhwzBu3Li0X//KK6/g8ccfx//7f/8Pxx9/POrr6/HrX/8a55xzDgoKCqw7cCIiIiKHMH8iIjtwIIqIPOlb3/oW3nnnHSxduhRHjhzB9ddfjyeffDLt10+cOBGBQAD/9V//hQMHDmDYsGGYM2cOVqxYYd1BExERETmI+RMR2YEDUUTkSWVlZVi5cmXaz9d1HbFYDMFgEJqmYdKkSXjhhRcGfE0ikUAikcj1UImIiIiUwPyJiOzAPaKIiAA88sgjCIVCePrpp9N+zbXXXotQKITdu3dbeGREREREamL+RETZ0HRd150+CCIiJ23duhWRSAQAcMIJJ2DIkCFpve6zzz5DQ0MDAGD48OE4/vjjLTtGIiIiIpUwfyKibHEgioiIiIiIiIiIbMFL84iIiIiIiIiIyBYciCIiIiIiIiIiIltwIIqIiIiIiIiIiGzBgSgiIiIiIiIiIrIFB6KIiIiIiIiIiMgWHIgiIiIiIiIiIiJbcCCKiIiIiIiIiIhswYEoIiIiIiIiIiKyBQeiiIiIiIiIiIjIFv8fvDLBC8J1i5wAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 1200x800 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "f_signal = 5  # Hz\n",
    "t_cont = np.linspace(0, 1, 10000)\n",
    "x_cont = np.sin(2 * np.pi * f_signal * t_cont)\n",
    "\n",
    "fig, axes = plt.subplots(2, 2, figsize=(12, 8))\n",
    "\n",
    "for ax, fs in zip(axes.flat, [50, 12, 8, 6]):\n",
    "    Ts = 1.0 / fs\n",
    "    t_s = np.arange(0, 1, Ts)\n",
    "    x_s = np.sin(2 * np.pi * f_signal * t_s)\n",
    "    \n",
    "    ax.plot(t_cont, x_cont, 'b-', alpha=0.3, label='Eredeti')\n",
    "    ax.stem(t_s, x_s, linefmt='r-', markerfmt='ro', basefmt='k-',\n",
    "            label=f'fs={fs} Hz')\n",
    "    ax.legend(); ax.grid(True); ax.set_xlabel('t [s]')\n",
    "    \n",
    "    nyq = 2 * f_signal\n",
    "    color = 'red' if fs < nyq else 'black'\n",
    "    title = f'fs={fs} Hz' + (' – ALIASING!' if fs < nyq else '')\n",
    "    ax.set_title(title, color=color)\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "02bbfc6c",
   "metadata": {},
   "source": [
    "## 8.3. Spektrum mintavételezéskor\n",
    "\n",
    "**2. feladat:** Két szinuszos komponens (5 Hz + 15 Hz) spektruma."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "2cba085c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fs = 100; T_total = 2\n",
    "t = np.arange(0, T_total, 1/fs)\n",
    "x = np.sin(2*np.pi*5*t) + 0.5*np.sin(2*np.pi*15*t)\n",
    "\n",
    "X = np.fft.fft(x)\n",
    "freqs = np.fft.fftfreq(len(x), 1/fs)\n",
    "half = len(freqs) // 2\n",
    "\n",
    "fig, (ax1, ax2) = plt.subplots(2, 1, figsize=(10, 6))\n",
    "ax1.plot(t, x, 'b-'); ax1.set_title('Időtartomány')\n",
    "ax1.set_xlabel('t [s]'); ax1.grid(True)\n",
    "\n",
    "ax2.stem(freqs[:half], np.abs(X[:half])*2/len(x))\n",
    "ax2.set_title('Amplitúdó spektrum')\n",
    "ax2.set_xlabel('f [Hz]'); ax2.grid(True)\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "dae81352",
   "metadata": {},
   "source": [
    "## 8.4. FIR digitális szűrő\n",
    "\n",
    "**3. feladat:** 10 Hz hasznos jel + 200 Hz zaj → FIR aluláteresztő szűrés."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "73f2a103",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x1000 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fs = 1000\n",
    "t = np.arange(0, 0.5, 1/fs)\n",
    "\n",
    "x_clean = np.sin(2*np.pi*10*t)\n",
    "noise = 0.5 * np.sin(2*np.pi*200*t)\n",
    "x_noisy = x_clean + noise\n",
    "\n",
    "# FIR szűrő tervezés\n",
    "fc = 50; num_taps = 101\n",
    "b = firwin(num_taps, fc, fs=fs, window='hamming')\n",
    "y_filt = lfilter(b, 1, x_noisy)\n",
    "\n",
    "w_fir, H = freqz(b, 1, worN=2048, fs=fs)\n",
    "\n",
    "fig, axes = plt.subplots(3, 1, figsize=(10, 10))\n",
    "axes[0].plot(t, x_noisy, 'b-', alpha=0.5, label='Zajos')\n",
    "axes[0].plot(t, x_clean, 'g-', lw=2, label='Tiszta')\n",
    "axes[0].legend(); axes[0].grid(True); axes[0].set_title('Bemeneti jel')\n",
    "\n",
    "axes[1].plot(w_fir, 20*np.log10(np.abs(H)+1e-10), 'b-', lw=2)\n",
    "axes[1].axvline(fc, color='r', ls='--', label=f'fc={fc} Hz')\n",
    "axes[1].legend(); axes[1].grid(True); axes[1].set_ylabel('dB')\n",
    "axes[1].set_title('Szűrő frekvenciaválasza')\n",
    "\n",
    "axes[2].plot(t, y_filt, 'r-', lw=2, label='Szűrt')\n",
    "axes[2].plot(t, x_clean, 'g--', lw=1, label='Eredeti')\n",
    "axes[2].legend(); axes[2].grid(True); axes[2].set_xlabel('t [s]')\n",
    "axes[2].set_title('Szűrt kimenet')\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ab6bfeb2",
   "metadata": {},
   "source": [
    "## 8.5. Folytonos rendszer diszkretizálása\n",
    "\n",
    "**4. feladat:** $H(s) = 1/(s^2+s+1)$ → ZOH diszkretizálás különböző $T_s$ értékkel."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "d0fd996e",
   "metadata": {},
   "outputs": [
    {
     "data": {
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      "text/plain": [
       "<Figure size 1400x400 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Kisebb Ts → jobb közelítés!\n"
     ]
    }
   ],
   "source": [
    "A_c = np.array([[0, 1], [-1, -1]])\n",
    "B_c = np.array([[0], [1]])\n",
    "C_c = np.array([[1, 0]])\n",
    "D_c = np.array([[0]])\n",
    "\n",
    "sys_c = lti(A_c, B_c, C_c, D_c)\n",
    "t_c, y_c = step(sys_c, T=np.linspace(0, 15, 1000))\n",
    "\n",
    "fig, axes = plt.subplots(1, 3, figsize=(14, 4))\n",
    "\n",
    "for ax, Ts in zip(axes.flat, [0.1, 0.5, 1.5]):\n",
    "    Ad, Bd, Cd, Dd, _ = cont2discrete((A_c, B_c, C_c, D_c), Ts, method='zoh')\n",
    "    sys_d = dlti(Ad, Bd, Cd, Dd, dt=Ts)\n",
    "    n_steps = int(15 / Ts)\n",
    "    t_d, y_d = dstep(sys_d, n=n_steps)\n",
    "    \n",
    "    ax.plot(t_c, y_c, 'b-', lw=2, label='Folytonos')\n",
    "    ax.step(t_d, y_d[0].flatten(), 'r-', lw=1.5, where='post',\n",
    "            label=f'Diszkrét Ts={Ts}s')\n",
    "    ax.legend(); ax.grid(True)\n",
    "    ax.set_title(f'Ts = {Ts} s'); ax.set_xlabel('t [s]')\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()\n",
    "print(\"Kisebb Ts → jobb közelítés!\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cda54d3d",
   "metadata": {},
   "source": [
    "## 8.6. Önálló feladatok\n",
    "\n",
    "> **A)** Mintavételezzen 100 Hz-es jelet $f_s = 50, 200, 500$ Hz-cel! Ábrázolja!\n",
    ">\n",
    "> **B)** Tervezzen IIR (Butterworth) szűrőt és hasonlítsa össze a FIR-rel!\n",
    ">\n",
    "> **C)** RC szűrő folytonos és diszkrét megvalósítása – $T_s$ hatásának vizsgálata!\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a976a7a1",
   "metadata": {},
   "source": [
    "---\n",
    "# ✅ Összefoglalás\n",
    "\n",
    "| Gyakorlat | Témakör | Kulcs Python eszközök |\n",
    "|---|---|---|\n",
    "| 1. | Jelek ábrázolása | `numpy`, `matplotlib`, `heaviside`, `stem` |\n",
    "| 2. | Rendszertulajdonságok | `scipy.signal.lti`, `step`, `impulse` |\n",
    "| 3. | Konvolúció | `np.convolve`, `scipy.signal.convolve` |\n",
    "| 4. | Állapotváltozós leírás | `odeint`, `StateSpace`, `expm` |\n",
    "| 5. | Fourier-sor, Bode | `scipy.integrate.quad`, `bode` |\n",
    "| 6. | Fourier/Laplace | `np.fft.fft`, `residue`, `tf2zpk` |\n",
    "| 7. | Diszkrét rendszerek | `dlti`, `dstep`, `residuez` |\n",
    "| 8. | Mintavételezés, szűrés | `firwin`, `lfilter`, `cont2discrete` |\n"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "base",
   "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": "3.12.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
