{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Requirement already satisfied: qutip in c:\\users\\tahab\\anaconda3\\envs\\q_cupy\\lib\\site-packages (5.0.4)\n",
      "Requirement already satisfied: numpy>=1.22 in c:\\users\\tahab\\anaconda3\\envs\\q_cupy\\lib\\site-packages (from qutip) (1.26.4)\n",
      "Requirement already satisfied: scipy>=1.9 in c:\\users\\tahab\\anaconda3\\envs\\q_cupy\\lib\\site-packages (from qutip) (1.13.1)\n",
      "Requirement already satisfied: packaging in c:\\users\\tahab\\anaconda3\\envs\\q_cupy\\lib\\site-packages (from qutip) (24.1)\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "! pip install qutip\n",
    "import qutip as qt\n",
    "from matplotlib import pyplot as plt\n",
    "from scipy.special import hermite"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# ### Define system parameters\n",
    "\n",
    "N = 100  # Size of the Hilbert space\n",
    "omega = 1.0  # Oscillator frequency\n",
    "m = 1.0  # Mass of the particle\n",
    "hbar = 1.0  # Planck's constant in natural units\n",
    "\n",
    "# Position and momentum scaling factors\n",
    "x_0 = 1 / np.sqrt(2 * m * omega)  # x_0: characteristic length scale\n",
    "p_0 = np.sqrt(m * omega / 2)  # p_0: characteristic momentum scale\n",
    "\n",
    "# ### Define operators for the quantum harmonic oscillator\n",
    "\n",
    "a = qt.destroy(N)  # Annihilation operator\n",
    "id_op = qt.identity(N)  # Identity operator\n",
    "n_op = a.dag() * a  # Number operator\n",
    "\n",
    "x_op = (a + a.dag()) * x_0  # Position operator\n",
    "p_op = -1j * (a - a.dag()) * p_0  # Momentum operator\n",
    "\n",
    "# Hamiltonian of the harmonic oscillator\n",
    "H0 = omega * (a.dag() * a + 0.5 * id_op)\n",
    "\n",
    "# Alternatively: \n",
    "# H0 = p ** 2 / (2 * m) + m * (omega * x) ** 2 / 2\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "c:\\Users\\tahab\\anaconda3\\envs\\q_cupy\\lib\\site-packages\\matplotlib\\cbook.py:1699: ComplexWarning: Casting complex values to real discards the imaginary part\n",
      "  return math.isfinite(val)\n",
      "c:\\Users\\tahab\\anaconda3\\envs\\q_cupy\\lib\\site-packages\\matplotlib\\cbook.py:1345: ComplexWarning: Casting complex values to real discards the imaginary part\n",
      "  return np.asarray(x, float)\n"
     ]
    },
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 800x400 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# ### Set up the initial state of the system\n",
    "\n",
    "# Define a coherent state as the initial state\n",
    "alpha = 2.0\n",
    "psi0 = qt.coherent(N, 2)\n",
    "\n",
    "# ### Define observables for tracking\n",
    "\n",
    "e_ops = [a, x_op, p_op]  # Operators to track expectation values of\n",
    "\n",
    "# ### Time evolution parameters\n",
    "\n",
    "times = np.linspace(0, 20, 200)  # Time array\n",
    "\n",
    "# ### Time evolution of the system\n",
    "\n",
    "# Using mesolve to simulate time evolution\n",
    "result = qt.mesolve(H0, psi0, times, [], e_ops)\n",
    "\n",
    "# ### Plot expectation values of observables over time\n",
    "fig1 = plt.figure(figsize=(8, 4))\n",
    "\n",
    "qt.plot_expectation_values(result, ylabels=['<a>', '<x>', '<p>'],fig=fig1)\n",
    "plt.title(\"Expectation Values Over Time\")\n",
    "plt.tight_layout()\n",
    "plt.show()\n",
    "\n",
    "# ### Energy levels of the Hamiltonian\n",
    "N_levels = 5\n",
    "levels_name = ['|%i>'%(lvl) for lvl in range(N_levels)]\n",
    "\n",
    "fig2 = plt.figure(figsize=(8, 4))\n",
    "qt.plot_energy_levels([H0/omega], N=N_levels, h_labels=None,fig=fig2)\n",
    "plt.title(\"Energy Levels of the Quantum Harmonic Oscillator\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "The Ehrenfest Theorem provides a bridge between quantum mechanics and classical mechanics by describing the time evolution of expectation values. Specifically, it states that for position `x` and momentum `p`, the time evolution of their quantum expectation values follows the classical equations of motion.\n",
    "\n",
    "The theorem for a particle in a potential `V(x)` is given by:\n",
    "$$\n",
    "\\frac{d}{dt} \\langle x \\rangle = \\frac{\\langle p \\rangle}{m}, \\quad \\frac{d}{dt} \\langle p \\rangle = - \\left\\langle \\frac{dV}{dx} \\right\\rangle =  - m \\omega^2 \\left\\langle x \\right\\rangle\n",
    "$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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ZDYXFYsHFF1+Ml19++bj/279/P8477zwsX74c69atw6WXXop77713yC6F77zzDrq7u4+780oQhPn48pe/jA8++AB//etfsXPnTlx55ZU4//zzcfDgwXFt75VXXsGSJUtw5ZVXoqCgAJWVlfjDH/4w4XE+9NBDyM3NxcKFC/HAAw8gFAop/9fY2IhVq1Zh4cKF2Lp1K9544w00NzfjC1/4woT3S6Qm/IbVG2+8MeobVueddx5OOeUULFmyZNhrqqFcOkMx1u2OxGhvQPIbYzfeeCO2bNky5IO7todDrXkDhp67vLw8hEIh+P3+4/5v4I243t7eYTsDAkBHRwecTicJUgShIuSUIgid2bVr15CW4GnTpiE/Px9//OMf8fTTT+Opp57C3LlzMXfuXNxxxx34zne+g9NOOw2nnHLKoNe9+OKLsNls+OxnP4vdu3fjv//7v7FgwQLlAvxXv/oVTj/9dKxcuRK33347Jk+ejJ6eHhw6dAivvvoq3nnnHWVbDz/8ME4//XSceuqp+O53v4vp06ejubkZr7zyCn73u9/B4/Hg5JNPVrZ7ww03wG63Y9asWbj44ouxZs0azJ49G/Pnz8e2bdvws5/9bMi7ccNtYygefPBBfPazn8VZZ52Fu+++Gw6HA7/97W+xa9cuPPvss6O+qBstS5Yswfz58/HII4+AMTZky+KxvNdPc9VVV+Gee+7B1Vdfjf/6r/9CIBDAr3/9a6UD40DG8tkNxWWXXYannnoKTU1Niqvg6NGj+MxnPoNZs2bhhRdegN1ux09+8hPMmzcPP/7xj4+7g/mPf/wDixcvRnl5+QnfG0EQxuXw4cN49tlnUVdXp5RH33333XjjjTfw1FNPjcsteeTIETz22GO466678L3vfQ+bN2/GN7/5TTidTlx//fXjGuf/+3//D4sWLUJ2djY2b96M1atXo7q6Gn/84x8BAI899hgWLVo0aLxPPvkkysvLceDAgaTfyCBSg5tvvhmPP/64csPqxhtvHNMNq+nTp49738nc7sAbkA888MCw7sFP3xhzOBzjGruW88Zd4YcPH8b8+fOVvw+8EfePf/wDV155Je6991586UtfgtfrPW47R44cwUknnTSWt0kQxFjROdOKIFKWkbrvAWB/+MMf2M6dO5nb7WY33HDDoNcGAgG2ePFiNnnyZNbZ2ckYS4Q9btu2jV1yySUsIyODeTweds0117Dm5uZBr6+urmY33XQTKy0tZXa7neXn57MVK1aw+++//7hx7tmzh1155ZUsNzeXORwONmnSJHbjjTeyQCCgPGf16tWspKSEWSwWBoCtW7eOdXZ2sptvvpkVFBSwtLQ0dvrpp7P33nuPrVq1iq1ateq4/Qy1jeECPt977z129tlns/T0dOZ2u9myZcvYq6++Oug5fD5aW1uHnPcTdQscyK9+9SsGgJ100klD/v9o3+tw+167di1buHAhc7vdbOrUqew3v/nNkN33GBvbZ/dp+vr6WFpaGvv973/PGGOsoaGBTZs2jS1atOi44NJbb72VOZ3OQWONxWKstLSU/ehHPzrhvgiCMBb4VND5888/rzQ+GPiw2WzsC1/4AmNMPh+N9DsGgH39619Xtmm329ny5csH7fcb3/gGW7ZsmfLvr371q4P2J0kSc7lcg/527NixYd/H3//+dwaAtbW1McbkbqF2u/2494EBzSH4+Xakx1CdS5966ikKOk9h5s+fzyRJYgDYpk2bjvv/66+/njmdTvbLX/6Svf322+ynP/0py8/PZ2VlZYOuDYa7XmFs6OuGiW7309vk3femTp3Kfv/737N33nmHPfvss+yaa645rvtednY2O+WUU9hTTz3F1q1bx1555RX28MMPs7POOkvzeTvR3NXU1DAA7He/+53yt+rqalZWVsZWrlzJ+vr6GGOM7d27l1mtVvbtb3/7uG1Eo1Hm9XrZXXfdNer3RxDE2CFRiiBMwkg/zATBueyyy9hFF100rtdu3ryZAWAff/xxkkdFEITefFqU+utf/8qsVivbt28fO3jw4KBHY2MjY4yxUCjE9u7dO+JjYOerSZMmsZtvvnnQfn/729+ykpIS5d/Nzc2D9lVaWsqefvrpQX8Lh8PDvo+6urpBi93zzz+fXX755ce9h4MHD7Le3l7GGGOtra0nfB/9/f3H7YtEqdQmWTesxipKTXS7Q21zNDcgGZvYjbFkz9tI75GzcuVKduGFFzLGxn4jjjHG3n77beWGL0EQ6iExxljyfFcEQejFvffei/vuuw+tra1JDfsmzMWaNWtw++23o7W1dcz5CDzwuLq6WqXREQShF5Ik4aWXXsJll10GADhw4ABmzZqFDRs2YOXKlUnZxxe/+EXU1tbivffeU/5255134qOPPsKHH3445GsmT56MNWvWjDpc/bXXXsMll1yCY8eOYdKkSfj+97+PF154Abt27YLNltzUijVr1uBb3/oWurq6krpdgiCSwwsvvICrrroKx44dG9QEaLRcd911OHLkCD744AMVRkcQBIeCzgmCIFKIG2+8Ef39/eMK7Lz//vtJkCIIE9Hb24uqqipUVVUBAKqrq1FVVYWamhrMnDkT1157La6//nq8+OKLqK6uxpYtW/DQQw9h7dq149rfnXfeiU2bNuHHP/4xDh06hL/85S/4/e9/P2xH0ROxceNG/PKXv0RVVRWqq6vx/PPP46tf/Sr+4z/+A5MmTQIAfP3rX0dHRweuueYabN68GUeOHMGbb76Jm266acjsvtFQU1OjzFM0GlXmsLe3d1zbIwhCHS6//HIsXboUDz744Jhfe/jwYTz33HPHZWsSBJF8yClFEARBEASRgqxfvx5nnXXWcX+/4YYbsGbNGoTDYdx///3485//jPr6euTm5mL58uW47777lAYVY+W1117D6tWrcfDgQUyZMgV33XUXbr311mGfP5JTavv27fja176Gffv2IRgMoqKiAldffTW+/e1vDwpPPnjwIL7zne9g3bp1yvPOP/98PPzww+NqjnHjjTfiT3/603F/X7du3agdXQRBaMOuXbvwyiuv4Lvf/S4sltH7MdatW4eDBw/iK1/5ioqjIwgCIFGKIAiCIAiCIAiCIAiC0AEq3yMIgiAIgiAIgiAIgiA0h0QpgiAIgiAIgiAIgiAIQnOS24YkycRiMTQ0NMDj8Yyr5p8gCIIgCGI0MMbQ09ODkpKSMeWOGA26tiIIgiAIQgtGe22lqij12GOP4bHHHsPRo0cBAHPnzsU999yDCy64YFSvb2hoQHl5uYojJAiCIAiCSFBbW4uysjK9h6EadG1FEARBEISWnOjaSlVRqqysDD/5yU8wffp0AMCf/vQnXHrppdixYwfmzp17wtd7PB4A8pvIzMxUc6gEQRAEQaQw3d3dKC8vV649zApdWxEEQRAEoQWjvbZSVZS65JJLBv37gQcewGOPPYZNmzaNSpTitvLMzEy6cCIIgiAIQnXMXtJG11YEQRAEQWjJia6tNMuUikaj+Nvf/ga/34/ly5drtVuCIAiCIAiCIAiCIAhCQFQXpT755BMsX74cgUAAGRkZeOmll3DSSScN+dxgMIhgMKj8u7u7W+3hEQRBEARBEARBEARBEDqgenuZWbNmoaqqCps2bcLtt9+OG264AXv27BnyuQ8++CC8Xq/yoCBOgiAIgiAIgiAIgiAIcyIxxpiWO/zMZz6DadOm4Xe/+91x/zeUU6q8vBw+n49yDwiCIAiCUI3u7m54vV7TX3OkyvskCIIgCEJfRnvNoVmmFIcxNkh4GojT6YTT6dR4RARBEARBEARBEARBEITWqCpKfe9738MFF1yA8vJy9PT04K9//SvWr1+PN954Q83dEgRBEARBEARBEARBEIKjqijV3NyM6667Do2NjfB6vZg/fz7eeOMNfPazn1VztwRBEARBEARBEARBEITgqCpKPfHEE2pufsL4gxH8eO1eLK7IxpKKHJTnuCFJkt7DIkwEYwzba7pQ19mHGGNw2604Y2Y+0hyaV84SJscfjGDrsU7sb+pGRW46KsuzUJDp0ntYhMmIRGPYeKQdnX1hhCMx5HmcOH16HqwW+u0kCIIgCMIc9AYjePXjBpwxMx+lWW69h2N6UnplXFXbhWc+qsEzH9UAAEqz3PjhJSfh3LlFOo+MMDqxGMObe5rw2PrD+LjON+j/stLsuPbUSbhxxRTkeyhDjZgYzd0B/ODlXXhnXwuiscF9K+aVZuInl8/HvFKvTqMjzEIwEsUL2+rx+LuHUdPRN+j/yrLduGH5ZFy7bBIJ7gRBEARBGJqGrn7ctGYL9jX1IN/jxF9uORUzCj16D8vUWPQegJ4UZjpxy+lTUDkpC3arhPqufnzl/7bh7r99jO5AWO/hEQYlEI7ia89sx21Pb8fHdT44bRYsn5qLlTPyUJ7jRldfGI+uO4wLfrUBu+p9J94gQQzD2k8acd4jG/DWnmZEYwylWW6cP7cIs4s8sEjArvpuXProB3j4zf0IR2N6D5cwKK09QVz+2w/xvZc+QU1HH3LSHVg+NRdnzMxHdpoddZ39eGDtXlzx2EY0dwf0Hq6h2LBhAy655BKUlJRAkiS8/PLLIz5//fr1kCTpuMe+ffu0GTBBEARhOKIxhrWfNOJfu5v0Horw7Kr34bJHP8C+ph4A8jXQ1b/fhL2N3TqPzNyk9C3N6QUe/ODikwAA/aEoHvn3Afz+vSP4+7Y67GnoxvO3LUeGM6WniBgjPYEwvvLnbdh4pB0OqwVfOWMqbjxtMvIyZEdUNMbw1p5mPPzWfhxo7sVVv9uI3123BKfPyNN55ITR+P2Gw/jxWnkhOq80Ez/7/ALMKU60Wm3rDeKHr+zG6zsb8et3DuFwmx//e3UlLFRmRYyB+q5+fOmPH6G6zY+cdAe+ftZ0XHNKueKICoSjeHlHPX7+5gHsbezG5b/9EH+6aSmmF9AdxdHg9/uxYMECfPnLX8YVV1wx6tft379/UGvl/Px8NYZHEARBGBjGGF7d2YhH/n0AR1r9AIBfXb0Qly4s1XlkYhKNMXz1/7ahpSeIWYUe/OILC/DdF3diV303vvTHj/DO3WfC67brPUxTktJOqYG4HVasvnAOnv/qcuRlOLCnsRu3P72N3AXEqAmEo/jSHz/CxiPtSHdYsebLS3H3ebMUQQoArBYJ588rwgu3r8CKabnwh6L48prN+PBQm44jJ4zG6zsbFUHqK2dMxYu3nzZIkAKAvAwnHv3iIvz6mkrYrRJe39mIB9bu1WO4hEFp6OrHlY99iOo2P0qz3Hjh9hW4+fQpg0r0XHYrrj5lEl762gpMzUtHfVc/rnx8I2o/VeJHDM0FF1yA+++/H5dffvmYXldQUICioiLlYbVaVRohQRCEWLT1BvHhoTb8o6oegXBU7+EIzbOba/HNZ3fgSKsfDpu87P/uC5/gQHOPziMTk/cOtqK+qx9ZaXb87fblmFfqxTO3LMPk3DS0+0P45yeNeg/RtJAo9SmWTs7BEzcshdtuxXsH2/C9Fz8BY+zELyRSnvtf34OP63zITrPjr19ZjhXTh3c/eVx2PPXlpTh/bhHCUYZv/rUKrT1BDUdLGJWtRztw5/NVAIAbV0zG6gtmKxcaQ/EfC0rw8ysXAACeeL8af9hwRIthEgYnEo3hW3+tQoMvgKn56fj77csxJS992OeX56Th77evwLzSTHT2hXHHszsQitBNHbWorKxEcXExzjnnHKxbt27E5waDQXR3dw96EARBGI1wNIYbn9qMJff/G1/840f4f3+twvde/ETvYQlLNMbwuw2HAQDXL6/Alu99BqdNz0V/OIrbnt6G3mBE5xGKx9+31QEALltYikyX7Ijyuu24+pRJAIAXd9TrNjazQ6LUECwoz8Kj11bCIgF/21anHKAEMRz//KQRT2+SA/N/dXUlTi47cbC002bFL69aiJmFGWjrDeLO56oQi5EASgyPry+M257ejlAkhs/MKcR/X3zSqDqGXrqwFN+/cA4A4MF/7sUndZRlRozMb9YdwuajHchw2vDUjUtR7D1x55mcdAce/9JiZLps+Li2Cz/5J+UcJZvi4mL8/ve/xwsvvIAXX3wRs2bNwjnnnIMNGzYM+5oHH3wQXq9XeZSXl2s4YoIghqOusw8/+9c+/OnDo3jvYCv6Q+T6GYkXttVh/f5WSBIwKScNkiSLBB9QtcGQvLOvBcfa++B127H6gjnwptnx66srUex14UirH79555DeQxQKX18Yb+5pBgB8fnHZoP+7dGEJJAnYXN1BTnCVIFFqGM6eXYi7z5sFAHhg7V609ZKLhRiaus4+fOeFnQCA21ZNwxkzR5/t4XZY8egXF8Ftt+L9Q2147N3Dag2TMAE/eUM+F03NT8evr1kI6xjyoW49YyouWVCCGAO+/cJOKk0mhmVzdQd+/fZBAMD9l81DRe7wDqlPU5adhl98YSEA4MkPqvHv+AUekRxmzZqFW2+9FYsWLcLy5cvx29/+FhdddBF+/vOfD/ua1atXw+fzKY/a2loNR0wQxFBEYwxfe2Y7Hl13GD98ZTeue2IzLn30fSpHG4ZgJKr8Ln3/wjnY8O2zcN2yCvnfL31C8zYET7wvO+O/eOokuB1yiXduhhM/uEjOU35tZwNVAw3glZ0NCEVimF3kwdySwZEYxV43lk/NlZ/3cYMewzM9JEqNwK0rp2JOcSa6+sL4n9f26D0cQlDue3UPugMRLCzPwn+eO3PMr59R6MF9l84FAPzq7YOo6yQFnjiezdUdeHazvJh88HMnD8r1GS0/vOQkZKXZsbexG394j8r4iOMJRWL4zgs7EWPA5YtKcVnl2MNQP3tSIW45fQoA4N5Xd9NiQWWWLVuGgwcPDvv/TqcTmZmZgx4EkWzqu/px1s/X47xfbsDzW2oRjND3fiT+vPEodtb54HHa8NmTCuFx2XCguRdPbzqm99CE5C8f1aDBF0BRpgtfiotRd583CwUeJ4629+G368j1M5DdDT5sOtIBq0XC9csrBv3f2bML4LZbUdfZj131VM7N4ZVRn19cNmQVAr8eenF7HYl5KkCi1AjYrRY8dMXJsEjAP6oasG5/i95DIgRj05F2vLWnGVaLhJ99fj7s1vF9pa5cXIYV03IRisTw0zf2J3mUhNEJRqJY/aLsxrvmlHKcGr9bM1byMpz47/gdskf+fRDVbf6kjZEwB3/56Biq2/zIy3Dgvv+YO+7t3HXuTBRlulDX2Y8nP6hO4giJT7Njxw4UFxfrPQzT4esP48PDbVRWPwoC4Shu+79tqG7zY39zD779wk6c+bP1ONLaq/fQhKS+qx8/+5d8rffdC2fjD9cvUX6bH113CN2BsJ7DE46+UASPxkWnb5wzHS677PrJdNmV36nHNxyhjKQBPPXBUQDAhScXH1d+73ZYcfbsAgDA2l0U3A0AB5t78HFtF2wWadibcRfMK4LTZsHhVj+JeSpAotQJmF+WhS+fJt/xvf+1PYjSxQkRJxZjuP912UF3zSnlmFE4/hbokiTh+xfNgSTJttDtNZ3JGiZhAv5v4zEcbvUjL8OJ754/Z0LbunxRKVbOyEMoEsPP3yQBlEjQHQjjV/HyiDs/OxMe1/jbHqc5bPj2+XIJ/G/XHaZGDsPQ29uLqqoqVFVVAQCqq6tRVVWFmho5o3D16tW4/vrrlec/8sgjePnll3Hw4EHs3r0bq1evxgsvvIA77rhDj+GblmPtflz8v+/hi3/4CDc8tRntFOEwLIwxfO+lT/BJvdzo5T8/OxOFmU40+gL4xZsH9B6ekPzwH7vRF4piSUU2rlkqByhfvqgU0/LT0dkXxh+pIckgnt9Si7beEMpz3Lhy8eBMvPPnFWFybhpCkRjeO9Cq0wjFIhiJ4rWdconZjSsmD/mcC04uAiBn4pLrR87fAoCVM/IGdU0fiMdlx2dPKgQAvPIxBZ4nGxKlRsG3PjMDXrcdh1v9ypecIP7xcT121Xcjw2nDtz4z9rK9TzO3xIvPL5KD9e5/bQ/9SBAAgP5QFI+/K1+g3n3uTHjTxi8UALIA+r146PnaTxqxr4nu9hAyv113GJ19YUwvyMBVSyYehn3ZwlIsKPOiNxjBw2+RADoUW7duRWVlJSorKwEAd911FyorK3HPPfcAABobGxWBCgBCoRDuvvtuzJ8/HytXrsT777+P119/HZdffrku4zcj+5t68PnHN6K2ox8A8N7BNlz46/foZtEwPL+1Fi9ur4fVIuHRLy7CN86ZgTVfPgUA8M9djThKjtxBHGntxb/3yg77H19+MizxbEib1YK7z5WF/D++X01C/gDejgsGNyyffFy3YUmScM4cWSj4916qaAGAnXU+BMIx5KY7sGhS1pDPOWtWAZw2C46292FvY4+2AxSQrcfk8/uyE1QifCZ+rG0+Sr8HyYZEqVHgcdmVfIxfv32Q3FKE7DL5l3wH8PYzpw2rqo+Vu8+bBbfdiu01XUoHCCK1+cvmGrT1BlGW7cYVn+oGMl7mFGfiwpOLwBjwq38Pn0VDpA6NvkSZ3eoLZsM2zlLkgVgsEv77Yrkk5bkttbQ4HYIzzzwTjLHjHmvWrAEArFmzBuvXr1ee/+1vfxuHDh1Cf38/Ojo68N577+HCCy/UZ/AmpK03iKt/vxGtPUHMLvLgmVtOxbT8dDR3B3HHM9sRoQYRx8HLhO767EysmJ4HQP6NOXNWPmIM+D3lFw7irfi13fKpuZj5KYf9+fOKML/Mi75QFM9vpYYEgHxj7qPqDgDAmbOGbiTEhYJ1+1tojQZg4+F2ALLAMlyH5nSnTZnPf6Z4CR9jDNvjotSSydkjPndxhfz/exp8lJeZZEiUGiU3njaZ3FKEwms7G1Df1Y98jxM3xwXLZFCY6cKXT5sMAPg92bdTnkA4isfjHRnvOGv6uDPLhuL/nTMTkgT8c1cT9jSQWyrVefL9aoQiMZwyJUfJmkgGSybn4Kz44vSP79M5jRCbv22tQ2dfGDMKMvDcV5bjtOl5eOWO05GT7kCDL6A4NgiZA8092NfUA7tVwpdOHRymfNuqaQDk8GBy/ST4915ZlOJlQAORJAlXxm8+vUulaACAj6rbEYrEUOJ1YVp+xpDPWTI5G5kuGzr8IewgRyM2HYmLUtNGdv1ceLKcRfh6ipfwVbf50e4PwWGzYF6pd8TnlmW7kZfhRDjK8Em9T6MRpgYkSo0Sj8uOW1fK4sOvyC2V0jDGFMHoxhWTlcDFZHHjislwWC3YdqwT2451JHXbhLH4y0c1aO0JojTLjcsXJcclxZlV5MFF8QuSX71NuR+pTHcgrHR2vH3VtGHvrI6Xr5whL07/trUObZTNQwgKYwx/i7tTbl05VSmVTnfacNVSuZz1/zZSZ7SBvBZvjb5qZv5xpeWnTsnBwvIshCIxrPmQmh0AQHtvENvijozPDCFKAcCqmfJNgW3HOinwHMCGA20AgDNm5g/722S3WnBW/GbKW3tTu8ogGIkqx9jyqTkjPvfs2QWwWiQcafWj0RfQYnhCwkv35pd64bSNvKaTJAmLK7IAQHFXEcmBRKkxcMOKychKs+NIqx9vp/hJL5V572Ab9jX1IM1hPe7OYDIoyHThc/HOD797l5wFqUokGlPEzzvOnn5cjkIy+NZnZgAA3tzTjJr2vqRvnzAGz22uRW8wghkFGVg1c+jyiImwbGoOFpR5EYzE8Gda1BOCsuVoJ460+ZHusOKi+YO7GX7xlEmQJOD9Q204TB3lAMgi3qs75bKfSxaUHPf/kiQpbqnntlALdUDORooxYG5JJkqz3EM+Z1JuGqbmpSMaY/jwUJvGIxSPDQdlx9gZJ/ht4rlSb6d4rlRVTReCkRjyMpzDOss4Hpcds+IlpFW1XRqMTky2xfOhFp+gdI+zaJL8vG0kSiUVEqXGgMdlx9XxLhn/t4kurFOVP8TzEa5aWj7h0OnhuPUM2ZX31t5maqmcovx7bzOaugPITXfg8kVDt6edKNMLPFg1Mx+MAU9/ROe0VCQcjSlZUresnKKE7iYTSZIUt9SfNx5FX4jadhPi8dwW2SV18fwSpDttg/6vPCcN58SdGE/T9R8AYHdDN6rb/HDZLUqmz6c5a3Y+3HYr2nqD2N9MYcr/3jN86d5AuACT6iV8DV39ONTSC4sEnDYtb8TnrpqZD5tFwqGW3pTOL9zIS/em5ozK9bwwHoT+cQqLUlvjVSlLKkZ2lnF4rtT2mi4S25MIiVJj5NpT5btl7x1sI7EgBdnT0I33DrbBIgE3nZa8LKlPM73Ag8/MKQBjchcWIvXgjpKrTyk/oZ14Ily/XHb7PbelFv0hCm1MNdZ+0ohGXwB5GU5culAd8ROQA3wn5aShqy+Mv22tU20/BDEeugNhvP6JXIp21SlDd5780jL5XPn3bXUkrAJ4NV66d87swuNEPI7TZsUpU+SF3vsHU9v1EwhH8V58DoYT8Tg8gHr9/taUXvRuiItyC8uzTngT2Ou2K8fauv2p65bieVLLT5AnxVlYngUA2JGiolSnP4TDrbKIycWmEzGv1Au7VUJbb1Dp0kpMHBKlxkh5ThrOniXfLSO3VOrBP/MLTi5GeU6aqvu6ZeVUAMDLO+rRG6QL4FTiUEsPPjzcDosEXHPKJFX3deasApRlu+HrDyuLDCJ14J2zblhekfR8vIFYLRJuijdxeHZzTUovtAjxePXjBgTCMcwoyEBlfJH2ac6YkY+K3DT0BCJ4J8UDzxljeE0p3Sse8bmnxzvyfZDipWjvH2xDfziK0iw35pZkjvjcZVNz4bRZ0OgL4GBL6t4AH23pHmf5VFmISdVStEA4iu01XQDkY2g0cFHqkzpfSnYX5SV4U/PTkZPuGNVrXHYr5pbIgejbKVg/aZAoNQ6uW053y1KR/lBUWbRfe6q6QgEgh4ROzU9HXyiK16njY0rx9KYaAMDZswtRlq2u+Gm1SLgu7gD408ajJBakEAeae1BV2wWbRcLVKoufAPC5yjI4bBbsa+rBzjrqWkOIwxu7mgAAVy4pG7bkxWKRlM6UvOV6qnKwpRf1Xf1w2604c9bI3TpPi4tSH1V3IBRJvUUv5/24KHf27IITllW57FacGhcV3t2fmiV8jDF8cEj+no1WlJofF1hS9fdlR00XQpEYCjxOTM1LH9VrpuVnIMNpQ384igPNqSeAbouLSktG6ZLiUK5U8iFRahycMSMfk+N3y17eQWJBqrD2k0b0BiOYlJOGZVNGdwdiIkiShC8skcsIeNYFYX76QhG8sE0ub+ICuNp8YUk5nDYLdjd0K3fZCPPDO42dPbsA+R6n6vvzptlx4bwiAMBf6ZxGCEI4GlMWFida/HInBi+RSVX4fC0szzqhw3J2kQe56Q70haIp62ABEu6dJaMMUz4zfiyuP5Carryajj74+sNw2Cw4udQ7qtfw51W3+eHrT73OhTtq5e/l0imjy5MC5BuT88vkefu4rkutoQkLDzkfbZ4Uh5f6kSiVPEiUGgcWi6RkCzy/lS6sU4Xn4p/1F5aUqRIGPBSXLyqF1SJhe00XDlJIaErw2s5G9AQjqMhNw8rpIwd7JovsdAcuni93T/r7NjqnpQLhaAwvbq8HAEX81oIvLJX39erHDeQ0JoRgV70PfaEostLsmFngGfG5p07JhSQBh1v9aOlO3RbqvBX6onhr9JGwWCSsiP+WvZ+iJXyhSAx7GroBAAvKskb1mpUz5DnbdqwzJcuqdtXL8zWnyAO7dXTL1Zx0B8pz3PHXp55bal+jvE44UXnop+ElfFUpdlOSMYa9jfJxNr98dMInh5/79jV107VMkiBRapxculAWC6pquyjwPAWobvNjc3UHLBJwxeIyzfZb4HEpHX/ILZUavLwjIRRoJX4CwBXxDn+v7WxEIEyB52bnnX0taPeHkO9xKqG6WrBsSi4qctPQG4zg9XgmDUHoyeZqufPS0sk5JzznetPsOKlYXvBtir8uFeElL6MNBj59uuwwS9Vcqf1NPQhFY/C67ajIHV1J/rT8DKQ7rAiEY0oQcyqxq0EWleaO0iXFmV+aBSA1S/i4wDKneJyiVIo5GRt9AfQEI7BZJEzNyxjTa4u9buSmOxBjwKEUzn1LJiRKjZN8j1O5i/FyFZXwmR1e5nLGzHwUe92a7vuquLPgxR31KZ3HkAo0+vqVdr7/saBE030vm5qLYq8LPYEI1qV4iG8qwM9ply8qhW2Ud6GTgcVCZcmEWHBR6tQpoyvf4AHCqZor1ekP4UhcJKksH50oxXOlqmq70BNIvbKqqnhZ1Pwy76jLqiwWSQlTTkXXD3/P80rGKErFS9F2plgpWiAcxZE2+Xs5p2h8otSBlp6Uaqy0P16BMjU/HQ7b2K+DZhTKQlYqZnGpAYlSE+BzlbKz4OUd9RQObGKiMYYXtssZP1qWuXBWzcxHYaYTHf4Q1qdwm9tU4JWqBjAGnDI5R/Xujp/GYpFw6UL5nPZi3K1FmJOWngDWxcNzr1ys/Tnt84vLYJGArcc6UdvRp/n+CYITjTFsPiqLUqeMUpTiuVIfpWiuFM+tmZqfjuxRdqsqy07D5Nw0eb5T0GG2M+5AWThMZ8fhmBd3CX2SYqIUY0wpdxxrKdrJiiiVWnN2qKUX0RhDdpodhZljy4gsyHShxOsCY3IXvlThQJMsSs0sHLlsezj46yheJTmQKDUBzj2pCOkOK2o6+qglpInZerQDzd1BeFw2nDNn5C4zamCzWpS8n9eo3MXUvBQXgy6LC95aw4X29ftb0OkP6TIGQn3W7mxENMawsDwL0wvGZllPBoWZLsVt8ip1FiV0ZH9TD3oCEaQ7rEpZ3olYOiUHFgk40uZHcwrmSvFg38WTxtitKl7ql2oCC5AIkJ4/yjwpzrxS+ZhMNadUU3cA7f4QrBYJs4rGJhicXOqFJAH1Xf1o6w2qNELx2DOgdG+0bryBLJyUBSC1ws65U2q8otSM+OsOkCiVFEiUmgBuhxXnxTsJ8cBYwnxwIei8uUVw2kbuMqMWF88vBgD8e28z+kOU92NG9jV1Y19TDxxWCy46uViXMcwq8uCk4kyEowyvkVhgWl7/RD6nXaJxiehA+L5f+5iEdkI/NlfLbqfFk3NGXcbqdduVsqpU7MK3/VgXgITINFr4nO2OO2BShd5gBAfjmTMLysZWisa7ye1p7EY0ljoVGTzkfEZBxgm7O34aj8uOqXnpAFLL9cPzpGaPsXSPw0V57h5KBQ7Gy+7G7ZQqoPK9ZEKi1AThzoLXdjZS3o8JicYY/rlLXjRdNF8foQCQLd9l2W70haJYRyV8puTlHbIIdNbsfHjT7LqN4/J44PlLVMJnSpp8AWyJt0C+8OQi3cZx/twi2CwS9jR2U7MQQjc+GmOeFGfZVPn5qZYrFYnGlDDk0Yacc3gZ1p4UE6V21fvAGFDsdaEg0zWm107Nz4DbbkVfKIrqttQ5Typ5UmMMOedwR1oqlfDxzntziscnsEyPdx49mCKh3dEYw8EWec7G6sbjcDGrvqsf/hTK4lILEqUmyIppecj3OOHrD+PDw6nZVcTMfHSkHW29IXjddpweD+rUA0mSFFGMHCzmgzGGVz+WP9fLFupTuse5ZEEJJAnYXtOFJl/qlaaYHe6SWlKRrXnThoFkpzuU8GMqSyb0gDE25pBzzqlT5PLTVItu2NfUg/5wFB6XDdPzx1b6e1JclKrv6k+p8vCdA0LOx4rVIinzxt1DqcDuBh5yPj7XT6qFnTPGsLdpfJ33ODy0+3BrL2Ip4Mqr7ehDIByD02bBpHFmuGanO5CXIed3pYqYpyYkSk0Qq0XCeXMLAQD/2t2k82iIZPNafAF3/twi2DXsUDUUl8Rzpd7Z10KKvMnY3dCN+q5+uO1WnDlL+9yygRRmurAonhVC5zTz8Xpc1L5YR+cnRynhI6Gd0IFj7X1o94fgsFmUcOTRwh0ch1v9CIRTp6Sei3CVk7JhsYwttybTZVcWf6lUwvdxrSywLBhjyDnn5BQMO+cC3PidUnFRKkXmrKk7gK6+MKwWadw5kRU5abBbJfSFomjw9Sd5hOLBc6CmF2TAOsZz2UBmKh34UqfsUS1UXWU/+OCDWLp0KTweDwoKCnDZZZdh//79au5SF86fK1/cv7m7OaVqvs1OJBrDG7vkRfnFC/RfwM0tycTk3DQEwjH8e2+z3sMhkgg/zlbNzIfboU9u2UDOnyuXdfFxEeagvqsf22u6IEnABTrllg3k3LmFcFgtONDci/0plGNBiMEeJYPFM+a8yMJMJ3LSHXIJSArlifByqLF2kePwEj7uhEkFeHD0gjGGnHP4nKWKKNXWG0RTdwCSNH7Xz6x4rlJrTxBdfeZ35fHSvWn56WPO4OLYrBZMzZMFllRw/XARadY486Q41IEveagqSr377rv4+te/jk2bNuGtt95CJBLBueeeC7/fr+ZuNefUqTnwuu1o94ew9Wjqtbo1KxuPtKPDH0JOukNpAa0nkiQpXfhep3IXU8EdSefP0y/jZyB8HB9Vy98Bwhz8M+78XDo5B4VjzDZRg0yXHWfMzAcArP2EzmmEtvBg4DnjCAaWJEnJbtnTmBpiAZBYyJ00ztyahCiVGk4pX38YdZ2y62S8rh/u4tvT0J0SZVX82JiSl450p21c28hw2lDslX/jDqWAwLJngiHnnOlx18+hFBDa9/OQ83HmSXFmFFLYebJQVZR64403cOONN2Lu3LlYsGABnnrqKdTU1GDbtm1q7lZz7FYLPjNHLuF7g8pdTMObu2U30nlzC0fdlUdtLogHE793sC2lSgbMzKGWXhxs6YXdKuGs2fqW7nHKc9IwtyQTMQb8ew+58szCP7nzU4DSPQ4XQMn9SWjN3ri7YPY4BRberSpVgrtjMaaIUuPtVpXowJcaQh4XRIoyXfC6x9fAZHp+Bpw2C3qDERxtN9dN/aHgYvFJ43RJcXgZWyqIUorAPsE5m1HAnVLmd/3wLoO8/G68kFMqeWi60vb55B+hnJyhAyWDwSC6u7sHPYwCv7D+164mMGb+OxlmhzGmLJI+e1KhzqNJcFJxJkq8LvSHoxSsbxK4S2r5tLxxX7SqAS/h490nCWPT3htU8mD4TRQROGtWPixSIleNILRiogs5HkDNxS2zU9spBwM7bBZU5KaPaxvcKXWkzY++kPmzMQ/FF/czJrDwtVktyjG6KwUE0MNxEWlGwcQcLNPyU0eU2tc0MYGdMyNFOvCFozEciXezHK/AzpkZn7MGXwA9gfCEx5bKaCZKMcZw11134fTTT8e8efOGfM6DDz4Ir9erPMrLy7Ua3oRZOSMPaQ4rGnyBlKn7NjO7G7rR6AvAbbdixTT9uu59GkmS8Jm4SPbWnhadR0Mkgzd56d5cMUr3OFxo/+BQO7rph9bwvLOvBYzJi8KSLP267n2a3Ayn0lr+bXJLERrh6w8rIuh4yveAhJi1pzE1yqp47tuMCQQDF2S6kO9xgrHUEPO4IDJtjJ0KP83seIlRKggsh1vjc1YwPuGTozilWs09Z5FoDMfiDrqJCiwzBpTvmdlgcbTNj3CUId1hRekEr4e8aXYUeKgDXzLQTJS64447sHPnTjz77LPDPmf16tXw+XzKo7a2VqvhTRiX3Yqz4l2zKBzY+HCX1Okz8sYdGqgW3OXw9t7mlLgQNjMNXf34uM4HSRLLkQcAMwo9mJafjlA0hvX7W/UeDjFB3t4ri9jnCOSS4nxWEdpJlCK0gQssJV4XvGnjc6hOy8+AwyqXVfHcIDOTrGBg7pbakwIlfHyROhGnFJAQtQ6bXGBhjOFwqyywTFTIS5XyvYauAMJRBqfNguIJZkVOzk2H1SKhJxhBc3cwSSMUD/69nF7ogSSNv/Meh0r4koMmotQ3vvENvPLKK1i3bh3KysqGfZ7T6URmZuagh5HgF9bv7CMHi9HhC7jPCriAO3VqDjKcNrT0BMmVZ3Dejp8rFk3KRn78TotIcAF0HZ3TDE0gHMWGg7KwKOI5jR9nm46QK4/QhmRksNitFswskhe+qRB2nqxg4FQKO+edGSdcihZ3DR02ucDS4Q/B1x+GJMlB5xOBi1L1Xf3oD5k3g5WXoU3OTYdlnA5GjlyamwbA3LlSPJtt6gSPMY7iMDP591NtVBWlGGO444478OKLL+Kdd97BlClT1Nyd7pwxMx+SJNf2NvrMf9fMrDT6+vFJvexeESV4eiBOmxWr4h2ryFlgbNbHxZ6zBTzOgMTx/+6BVkTJlWdYNh1pR18oisJMJ+aVinezZ2p+BqbmpyMcZdhwILVceRs2bMAll1yCkpISSJKEl19++YSveffdd7F48WK4XC5MnToVjz/+uPoDNRn7mpITDKyEnadAKRoPBp64UyreTa7R3KJUXyiilIjyAOnxMj1fnvMjbX5T/xZzl1RplnvCVQq56Q5kpdnBmLkdZtVt8pxNVMTjzEgBh9mxtj4AUAS4icLn/mh7X1K2l6qoKkp9/etfx9NPP42//OUv8Hg8aGpqQlNTE/r7zSnY5KQ7UFmeBQBYty+1LqzNBHdJVZZnCeleAYDPnCSLBdSxyrgEwlF8EA+r56W/orG4Ihselw0d/hA+ruvSezjEOOHniXPmFCbFqq4GqVrC5/f7sWDBAvzmN78Z1fOrq6tx4YUXYuXKldixYwe+973v4Zvf/CZeeOEFlUdqLvZMsPMeZ06KdOALRWLKwn6iTine7epwi7lzaw63yGJBbroD2emOCW2rNNsNh82CUCSGehOXih5pTU4GFyBnsE5PgbJHLkpNTpooZf6wc+6UmjzOhg2fZlKOLG7VkCg1IVQVpR577DH4fD6ceeaZKC4uVh7PPfecmrvVFb64pBI+48IXcJ8RLONnIGfNKoDVImFfUw9qO+gkaEQ+qu5AIBxDUaYLcya4MFILu9WCM2bIrrz1dE4zJIwxvBMX2j8zR0zxE0iUFa7b14JINKbzaLTjggsuwP3334/LL798VM9//PHHMWnSJDzyyCOYM2cObrnlFtx00034+c9/rvJIzUM0xrA/yU6pvSZ3/VS3+RGJMWQ4bSjxTiy3ZlKOnFvjD0VNnlsjC5/TJ+iSAgCrRVJKjcwssPD3NjU/OWIBn3szlz1yUSrppWjN5p2zY+3JdUpxcetYh9/UQrvaqF6+N9TjxhtvVHO3usLLXT441IZgxLw1zGYlEI5i4+F2AMA5s8UVpbLSHFg8Se5Y9W6KlbuYBZ7TdNbsfGHdK0DinPbOfhKljMi+ph40CNhJ9NNUTsqG121HdyBCrrwR2LhxI84999xBfzvvvPOwdetWhMOUxzUajrX7EQjH4LJbJnynfE48H6m+qx9dfaFkDE9I9scDfGcWZkz498phsyjOgiMmFliSFXLOSYWw82SFnHNSoQOfUr6XZCHPrJlS/aEomroDAJLnlCrNdsNqkRAIx9DSY16hXW00676XKswtyUSBx4n+cBQfHenQezjEGPmougPBiOxemZmkCwm1OGOmvMBMtQwWM8AYU9yUZwpausfh+WW76rvREv8hJ4wDF62XT8sVrpPoQKwWCafPkM9p7x5o03k04tLU1ITCwsE3TAoLCxGJRNDWNvS8BYNBdHd3D3qkMnsbE9lI1gkGA2e67CjLlluK72sy5yIOGJAnNcHSPU4quH54Js9EQ8450+Kig5mzfg4nsXwPAKaZPB8pEI4quWXJypTi2+nsC8PXZ74bHTXx6pJMlw1Z4+y8+mnsVgtKsmQH6TEq4Rs3JEolGUmSlBK+deQsMBzv7pcXcKtmiu1eAYBVM+Xj7MPD7QinULmLGahu86Omow92q4TTpovrXgGAfI8TC8rkYNr1+0kANRpctD5jhtjHGZAQQMn9OTKf/m3i5QLD/WY9+OCD8Hq9yqO8vFz1MYpMskLOOUqJkIkFloRTKkkCizJn/qRsT0QSolRyBRazHmfBSFSJo5iWLNdPXNyqbvObsiy8tqMPjAEepw25E8wt46Q5bEqe7rEO830/lTypvPSkrvO464pvnxg7JEqpwFmz5QtraqNuPHjb9DPiiyORmVuSidx0B3qDEWw/1qn3cIgxsC4u7pwyJQcZTpvOozkxZ1JWniHpC0Ww9ah8bjDCOY3nl+2s60KH37ylUBOhqKgITU1Ng/7W0tICm82G3NzcIV+zevVq+Hw+5VFbW6vFUIXlYDwrJVkCy9Q8eeF7xMQCy4Hm5DqluOhgVoElEI7iWHxxmoxMKWBg+Z45j7Nj7X2IxQWWZDUZKs1yw223IhxlikPGTBwZULqXTIGlIl5ea0bXD/9eViSpdI9DYecTh0QpFTh9Rj5sFglH2/uUg58Qn4aufhxq6YVFAk4X3L0CABaLhJVKuQs5C4zE+riLUtSue59mYFaeGe82mpVNR9oRisZQlu1OmrVfTYq8Lswu8oAx4P1DVMI3FMuXL8dbb7016G9vvvkmlixZArt96FIEp9OJzMzMQY9U5khbcsOU+XbMmo8UCEeVBX3ShLx8cwt5R9v9iDG5RChZAgs/zjr8IVOK9jyMfGrBxHPLOBaLpMybGUv4lDypJP++T4oHgJtRyDsaF40mJynknJMIOzffnGkFiVIqkOG0YVE8hPq9g3RhbRR4mcvC8ix4k1RnrDbc/cAdXoT4BMJRbK6W8+ZWGcC9AgAnl3rhddvRE4zg4zqf3sMhRsmGeDbTGQYoR+YoJXwpUira29uLqqoqVFVVAQCqq6tRVVWFmpoaALLL6frrr1eef9ttt+HYsWO46667sHfvXjz55JN44okncPfdd+sxfMMRjTFlUZKs3BpFlGozr8DC4gJLskqE+NzXd/WjP2S+pkDcjTej0JO0c2+aw4bSLDm/zIwOM/79mZZkgYUfa2b8fh6Nv6dkBXZzKnLiAosJjRWqOaVyubvMfHOmFSRKqQQPbP2A7vYaBiOV7nFWzkiEULdSxwdDsO1YJ4KRGAoznUmz9auN1SJhxTS5NOh9EtoNw7tKnpRxzmmrBgjtqdBaeevWraisrERlZSUA4K677kJlZSXuueceAEBjY6MiUAHAlClTsHbtWqxfvx4LFy7E//zP/+DXv/41rrjiCl3GbzQauvoRisTgsFlQEl/gTxS+6K3t6DNl1+WjA9wYyRJYctIdSsgwd66ZiURgd5IFFp4rZULXD39P05J8XVRhYtcPF9qS5frkVOSat3zvaJs6Tikzz5lWkCilElyU+vBwO6Ix819YG51INKa42owkSuV7nJgbb0n9/qHUcBYYHX6cnTY9zzDuFSBxTqPjzBjUdvShus0vC4rTh84aEpHFk7PhtlvR2hNUuqSZmTPPPBOMseMea9asAQCsWbMG69evH/SaVatWYfv27QgGg6iursZtt92m/cANChcLJuemTbjzHqfA40S6w4oYM2eeSDVfxKnlYDFhCR9fmCZ/zsybxaWWkGfmrB8q3xsbwUgUDT65W6FamVK+/jC6+sxXXqsFJEqpxPxSLzwuG3z9YXxST+UuovNxXRd6AhF43XYsKMvSezhjItXKXYwOd0+uNEA3tIGsnC4fZztqutAbjOg8GuJEcJfU4knZyHQZoxwZAJw2K5bHXXlUlkwkGy6A8HDyZCBJkpKRZMYQarVKhKbmmVdg4SU8yZ4zs4adM8YSod1J/G4CA0QpkwksPYGwUiGRbPGTB503dQcQCJvH/Vnb0Q/GgHSHFXkZySlF5qQ5bCjgXQtNKIBqAYlSKmGzWrB8qnxhTSV84vPBoXYAcsB5su6easVAV14qlLsYmU5/CLsaZJH6tGnGEqUm5aZhUk4aIjGGTYfb9R4OcQJ4maXRxE9AdhEC8jmNIJJJtUrlLolcKfMJLNXt6rgxeJmWmZ1SXBBJFlNN6pTy9YfRE5BvdiV7zrgjpr6rH2ETNWrhx1hehiPpN55y0h3IcNrAGFDXaR6BZWCelBqVClyEPkq5UuOCRCkV4YuB9+hur/Bw4dBIZS6cRZOy4bRZ0NITNN2FitmQhUNgVqEHBZkuvYczZhIlfCS0i0wsxrDxiCzonGZIUUo+D2+p7kAoYp5FBKE/XDRKusBi4lI0xSml0pyZ7bqlJxBGe7w7XoVKHb7qO/tN1QmXu5jyPU64HdakbrvA44TTZkE0xtDQ1Z/UbetJtUoORkB2f3Jx0EyuH6XzXl5yv5ccpezRRHOmJSRKqcjp8XDZbcc60ReichdR6Q9FsaOmCwCwwmDuFQBw2a1YMlnu9sgdX4SY8Dwm7gQxGiunk9BuBPY0dsPXH0aG04b5pV69hzNmZhV6kJvuQH84ih01nXoPhzARSvlekjrvcRSnlMkEFn8wgpZ4idCUZJfvKXPmR8xE2at8EZ+b7oAnyQ6WokwXHFYLIjGGRl8gqdvWEy5KVSTZJQUAFotkyhK+2k513HgcMwZ3q9V5j8OP32MmOs60hEQpFZmcm4bSLDfCUaa0gCfEY+uxDoSiMZR4XUnvxqAVXEz78DA5WETmfYPmSXFWTMuDRZLzLMx0x9FsbIyXvZ0yJQc2q/F+5iVJUnKlqISPSBZ9oYiykJ+aZNcPz6gyW9t5XoaSnWaHNy25AsuknDTYLBL6w1E0dZtPYJmkwvWkxSKhLMc9aD9mQJkzlQQWM7p+ajvka7AytebMhGHnilNKpbVeRfx35RiV740L412tGghJknB63FlAuVLiwhc9y6cZqxvaQFbEF3AbqdujsNS096G2ox92q4RTpuToPZxx4U2z4+R4I4CNJBYICxen+XnBiCRypei3k0gOvNwlO82O7PTkhtzycsCuvjA6/ObpvHRUpc57AGC3WpSFr5nKHpXOeyq7McwkFtTG30s5CSyjhmc9lWe7Vdl+RY75BJY6fpxlqyRKmVD81BISpVSGZxTxfA9CPD6MC4anGTBPinNyqRcepw3dgQj2NHTrPRxiCPjiemF5FtKdNp1HM354Awc6p4lJOBpTnLlGLEfm8EYAO2q6qPydSApqle4BgNthRWmWO74f85TwcadUskv3OFy4OdZhnoUvX8ST62f0qO2UUoQ8E82Z2kKeUr5nEiEvFmOoizv81Z6zlp4g+kPm6VqoFSRKqcyy+AJud4Oc8UGIha8/jE/q5W5oyw3sKrBZLTh1quy++YCcBUKyKS7icFHHqPDvySYSpYRkZ10X/KEostPsmF3k0Xs446Y8x43SLDciMSp/J5JDdZs6XeQ4AzOSzEK1SiHnHDNm/RxTPUxZ/ixqTTRnapY8DtyuWQSWaIyhXmWBhX836zr6TVGB0eYPIhSJwSIBRV51Gg153XZkxG8611PExZghUUplCjNdmJqXDsZAF9YC8tGRdsSYnC9R7FXHAqsV3BVBpaLiwRjDpiPy93+ZwUWpJRXZsFkk1HX2m+qi2Cx8eIiXI+fCYjFmOTIgl79z9yrlShHJgDuYuHiUbHhO1eE2EzmlNBKlzPRbknBKqTtnZnGXhaMxNHTJmWLqucvkz6Km3Q/GjC+wtPQEEI4y2CwSilTq5FyS5YbdKiEUjZki862uUxaJijJdsKuUtSlJkuKYJVFq7JAopQHLyFkgLHyxs8LApXsc/h62HO1AMEK2UZE42t6Hpu4AHFYLFlVk6z2cCZHutGF+mdzRjc5p4qGc0wxcusc5jTIZiSTCQ8h5KHmy4WWBZnJKqV2+Z7ZStEA4isb4Ar5CrTBlk7Wdb+wKIBpjcNosyM9wqrKP8hw3JAnwh6KmyHzjIeclWW5YVbr5ZLVIKMvm30/jn9Pq46JUqUoZXBy+fb4/YvSQKKUB3BlBwcDisdFECzjeRj0QjuGTOp/ewyEGwMWbhZOy4LJbdR7NxOElfJQrJRaBcBTbajoBGDvknMNLXfc0Uvk7MTEYY6hWMqVUCqA2mVjQEwijrVdewKtVijZwzszgYKnr7ANjQIbThtwkh+lzeEhzdyCCrj7jCyw1A7KR1HL3Om1WFMcdRWYo4UvkSakrsEwyURYXd0qVqRRyzkk4pYw/Z1pDopQGLItn/ext6jbFD4hZ6PCHsL+5BwBwqkG7oQ1EkiQsnSy/j4+oVFQouPhp9NI9Dn8fmw63m2IhYRaqarsQisRQ4HGqlpujJQWZLkyJl79vPUrnNGL8tPWG0BOMQJJUDFOOu4lqOswhsPDOe3kZDnhcdlX2wReIPcGIKYRn7vialJOmWjdnt8OKAo/sKDJDFpfaIeecchMJLLWd6naR43DRi+/PyHCRqExlpxTffh05pcYMiVIaUOBxYVq+fGFNYoE48IyvGQUZyFXJMqw1p8TFtS20gBMGOU/KHCHnnMUV2bBbJTT4AoqNnNCfLfFz2tIpOaotiLSG3zCg305iIvCFb4nXrZpbtTRLLhHqD0cVh5GRqY6X7ExWqXQPGCywmKGE76jKIeccM5U9aiVKKa48Ewh5/LpLfYFFnjMzlKJxkYg7mdSCyvfGD4lSGkEdq8Tjo2r5s+Bd68wAF6W2He00RbcMM1Dd5kdLTxAOmwWVk7L0Hk5SSHPYsKAsCwCw8Qjl/YjC5rgYbQbnJ4efnz+i305iAmhR7uKwWVASb5hihoXvMZVDzjlmEgtqVA4550wy0ZzVDijfUxPuZDSDkFfXqc2cmSm0W/vyPePPmdaQKKURSrnLEbrbKwrcKXXKFHO4VwBgTnEmMpw29AQj2NvYrfdwCCRylyrLzZEnxVFypSgrTwgi0Ri2H5PzpHgZrxk4NX5+3tXQjd5gROfREEZFuxIhLkoZPxiYz1mFVmVVJhBYFKeUSiHnHDNl/Wj13VTmzATfTc0EFpO4fhhjmgedN3cHEIrEVN2X2SBRSiO4KLW3kXKlRMDXH8aeuGizzESuAqtFwuJ4dzcq4RMDLkSbJU+Kw9/PlqOdOo+EAOQwcH8oikyXDbMKPXoPJ2mUZLlRnuNGNMYoV4oYN5qVCCmt5429iAMG5NZoJRaYSWBRWZQylbtMc1HK2HMWjsbQ6JPPL2oHnZfFXT9N3QGEo8YVWDr8IfSH5a7kJVkuVfeVl+6Ew2ZBjAFNvoCq+zIbJEppRF6GU+n4sr2GFnF6s/VoBxgDpuSloyBT3ROU1vASvs2UwaI7jDEl58dMZaIAsLA8C1aLhPqufrIpCwD/vi+ZnKNaByO94G4pypUixkuNRiVC5iqr0ia3xiwCSyzGlLIqElhGh68vrATcqz1n/Dhu6Qka2sHS0NWPGAOcNgvyVc7DzctwwmE1vsDCr1ELM51w2tStWLBYJEXMq6MOfGOCRCkNWVrBxQISpfRGKd0zUZkLZ2DYuRk6ABmZ2o5+NHUHYLdKqCzP1ns4SSXdacPckkwA1BlNBLgz8hQTOT85Stg55UoR46RW6w5fBi8RGuzGIIFlNLT2BhGOMlgtEopUvtnJM6safP2GFlj4Z57vccLtUFcsyEl3wGW3gDEox7YRSZTuuVVvaGKxSEo5mpG7yWkVcs4xS9mj1pAopSFLJsuLUlrA6c8mk7pXAGB+mRcOmwVtvSEcaTP2hbHR4cHTJ5d6Vb/g0oMlcaF9K5Xw6QpjTCmjNFOeFIeXiu6s86EvRLlSxNgIhKNo6pbv8pODZXQ0dgUQY3J4u9puDC56GV1g4QvfokwXbFZ1l1d5GQ6kOaxgLBF6bUS0Kt0DAEmSEiHUBhYLtAqG55ghuLteowwujhnmTA9IlNIQvljYWedDIF7bSmhPbzCCXfU+AMCpJsv5AQCnzYqF5VkAEi3iCX3g87/UhO4VADhlCuWXicDh1l50+ENw2S04udSr93CSTlm2GyVeFyIxhh01XXoPhzAY9V39YAxId1iRk+5QdV88FLy5O2jo6zyeJ1WW7Va9HDg/wwm3XRZYjLyIa4iPXe3MGkAWWLiQc8zAAmjdgONMC0rjooSRXT9K1pvWAouB50zz4yzL+O4yPSBRSkMqctOQl+FEKBrDJ3FRhNCe7cc6EY0xlGa5NbNyag0vS9xMYoGu8Pk3Y5koACyOO6X2N/couRCE9vCS8IXlWXDYzPezLkkSTp2ai3SHFY0GzrUg9GFgnpTa5S5ZaXZ4nDYAxnawKG4MDRa+gwSWduO6u7mgptV1ZZkJSoS0njNFLDCw+Mmz3tQOOecopWgGzkdSjjPNxE/jfzf1wHxXrwIjSRKWTiZngd5sjbdNN2P2CofCzvWnpSeA6jY/JClR5mY28j1OTMlLB2Oy2Evow+ZqOWvJrOInAPzwkpPw8Q/PxecXl+k9FMJgaJUnBcjXeeWKwGLcRVyi8542izgeEF9rYNdPwimllShlfNcPX7RrJRaYQchLuH60dUoZ+Tir07h8j+/HyM5PPVBVlNqwYQMuueQSlJSUQJIkvPzyy2ruzhDwEj7KYNGPbcdkoWZxhbmCpweyqCIbFkk+ETfQSVEX+Hd8VqEH3jS7zqNRjyUVJLTrDc+TOmWK+cqROVlpDtVzWghzUtOunSgFmKObnOLG0GgRZ4YsLq0FFjPk1ujmLjOB60e7kkdjH2eMMd2Czht9/YjFqOHUaFH1Cs/v92PBggX4zW9+o+ZuDEVClOqgA1UHItGYkknCg+fNSIbThnnxbBkSC/RB6fBoYkceQEK73tR39aO+qx9Wi4TKSVl6D4cghEMJU84lgWW0JJxS2s6Zkd1lmpeiKa4fA89Zp8YCi8GFvHA0hpaeIACg2KutkNfYFTDkurW7P4LeoNwgRavjrNDjhNUiIRxlyudFnBhVRakLLrgA999/Py6//HI1d2Mo5hR7kOawojsQwYGWHr2Hk3LsbexBXygKj8uGmQUevYejKlwsoBI+fUgZUSr+/qrquhCMGDfY16jwMP15JZlIj2fZEASRoEbjblV8P0YuRdPaKcXLBI1cIqRXPpJRBRZffxg9cbFAq5LH0gECS9SAAkuTLwAW74qZq3LTBk5RpgtWi4RQNIbWXuMJLFxgz8twwmXXpgu2zWpBUabc8MDI2YJaI5QXPhgMoru7e9DDbNisFiyaxMtdyFmgNVvjpXuLJmWr3lFGb7gYQk4p7ekOhLG3ST5/mTnnBwAm56YhL8OBUCSGT+qogYPWfMQ7PJr8ODMzv/3tbzFlyhS4XC4sXrwY77333rDPXb9+PSRJOu6xb98+DUdsHBhjmmZKDdyPUV0//aEo2uKLT83ClLOMncHSHQijJ6CtwMJdH83dQUPeEOIuqZx0B9Ic2txQKfC4YLNIiMQYmruN1zSDN/oo9ro0W8MMFliM9/1sUMRi9btiDqTM4GWPeiCUKPXggw/C6/Uqj/Lycr2HpAq8bGwriQWaw0POl5g4T4rDF6kHmnvR6Q/pPJrUYkdNFxiTFycFmdr+EGqNJElKkDsJ7drDRWezO/LMynPPPYdvfetb+P73v48dO3Zg5cqVuOCCC1BTUzPi6/bv34/GxkblMWPGDI1GbCw6/CH4Q1FIknYOloGZUowZz43B7+x7nDZ43drkIZbEF4y+/rBSamMk+MI3K82umWM1J90Bl11exjV2GU9gadDYWQYAVouE4vixZkSxoNEnj7nYq+11ZSLs3HhCe1M3F/K07bbOXXlGFPL0QihRavXq1fD5fMqjtrZW7yGpAmWw6ANjDNvic77YxHlSnJx0B2YUZAAgt5TW8E50i1Ik44eEdn3o8IdwqKUXADmljMrDDz+Mm2++GbfccgvmzJmDRx55BOXl5XjsscdGfF1BQQGKioqUh9WqTVmC0eCle0WZLs1KN0qy3LBIQDASQ6sB80R4uUtZThokSRs3hsdlR6ZLFnOM2JxFD4FFkiRDl/BpXe7IUebMgGJBvcYdHjlGDjtviAu2RRoLeSVxEazJZzzBWC+EEqWcTicyMzMHPczIwvIsWC2SElBLaEN9Vz+augOwWiQsLM/SeziawPN+KFdKW7bXxEWpFHDkAQOE9mOdhgzCNCpcbJ5RkIFsjfIliOQRCoWwbds2nHvuuYP+fu655+LDDz8c8bWVlZUoLi7GOeecg3Xr1qk5TEOjdZ4UANitFuWufK0BnQU8T0qrUGBOKW+jbkSxoFMfsaDMyHPGRSmNjzM+Z0Z0/XBHXInGrh+lFM2Ax1mTj383tRWluCOPu9uIEyOUKJUqpDttmFciC27kLNCObXH3ytySTM3q1/WG5xmRU0o7YjGGqtouAFDy48yO/J2ywtcfxsG4c4dQHy42L6XSPUPS1taGaDSKwsLCQX8vLCxEU1PTkK8pLi7G73//e7zwwgt48cUXMWvWLJxzzjnYsGHDsPtJhbzO4dA6T4pj5NINPmdahZxzlBIhA96srdPL9ZNt3LIqvYQ8I7vLGvRyShl5znz6lO/xEstGckqNGlVX5r29vTh06JDy7+rqalRVVSEnJweTJk1Sc9fCs2RyDj6u82HL0Q5curBU7+GkBLxccnGKuFeARM7MroZu+IMR6s6lAYdae9ETiMBtt2J2kbk7PHJsVgsqJ2Xhg0Pt2HK0A7NS5H3rDRebTyVRytB8ukSKMTZs2dSsWbMwa9Ys5d/Lly9HbW0tfv7zn+OMM84Y8jUPPvgg7rvvvuQN2EDUadxynlOW5cZmGFSU6uTuMnJjjBZeIqRXKRoJeaPHyIKxIrBo7PopNfB3U68crqLMeKdHEqVGjapOqa1bt6KyshKVlZUAgLvuuguVlZW455571NytIViqZLBQrpRWJELOU2cBV5LlRmmWG9EYw8d1XXoPJyXgeVLzy7ywWVPHjMq/V+T+1AZ/MILdDbLjhfKkjEleXh6sVutxrqiWlpbj3FMjsWzZMhw8eHDY/0+VvM6h0C23xsAZLLx8Ty+nlBEzperjQp72pWjGFQvqdRSMAWN+N/XILhu4v/qufkM1b4jFGJp9cq5fscZzxssFO/whBMLG646pB6qumM4880wwxo57rFmzRs3dGoLF8QXc/uYe+PrCOo/G/PQEwtjfJC/glqRAyPlAKuNh21wsIdQl1fKkOEsnUwc+LdlZ50M0xlDsdWlu5SeSg8PhwOLFi/HWW28N+vtbb72FFStWjHo7O3bsQHFx8bD/nyp5nUPBF74kFoyeuk7tc7iAREmSMcWCeNaP5plSxpyzQDiKtl5ZLNBNMO40lsDiD0bg65fXi1q7fnjpW18oiu5+43THbPeHEIrGIElAgcep6b69brvSHZPCzkdH6tzGF4x8jxNT8tLBWGIRS6jHjpouxJhsRy/M1PZkrje8XHF7TZe+A0kR+DynSp4Up3JSooGDEe90Gw1F/Eyx48xs3HXXXfjjH/+IJ598Env37sWdd96Jmpoa3HbbbQBkl9P111+vPP+RRx7Byy+/jIMHD2L37t1YvXo1XnjhBdxxxx16vQVhYYwpi/WyLK1dP/EAaoOdC7sDYXQH5EWn9kHnxhTyQpEYmnv0Kt+Tj7NGXwCRaEzTfU8Efo2Q5rAiK82u6b6LvW5I8e6Ybb0hTfc9EXgZmsdpg8el7Zy5HVZkxz+nBgMFd/M5K/A4Yde4ckGSJCWQnkr4RgeJUjqyJC4WbKZyF9VJxdI9Dl+0bq/pNNRdISPi6wvjUDzoe1HcoZYqpDttmBtv4EDB+uqzIy5KVabYcWY2rrrqKjzyyCP40Y9+hIULF2LDhg1Yu3YtKioqAACNjY2oqalRnh8KhXD33Xdj/vz5WLlyJd5//328/vrruPzyy/V6C8LS7g8hGJHvkmvdDtyobgwuFmSl2TXPoOSCTnNPAKGIcQSW5u4AGAMcNgtyNe6CKi+2JURjDM09QU33PREGltUOl5+nFg6bBYUe16BxGAG93HicEgOW1zbqFHLOKfJSB76xQKKUjvCOSZTBoj7bjslznEoh55yTSjLhslvQ1RfGkTa/3sMxNTtqZaFgcm4acjO0tQqLQCJXityfasIYUxx5leSUMjxf+9rXcPToUQSDQWzbtm1QYPmaNWuwfv165d/f/va3cejQIfT396OjowPvvfceLrzwQh1GLT7ccVPgccJh0/Zyl5fX9Iej6DRQRIPSEU2HRVxehgMOmwWMGavchQdml2a5YbFoK7BYLFKi7NFADjO9ymo5RnTlKYHdGoecc7iw02Cg72Zjlz4h55xickqNCRKldIQ7pT6u8yEYoRA0tYhEY9gRX8ClWp4UANitFswvzQIAbKNcKVVJ1dI9Dv9+0XGmLsfa+9DhD8FhtWBeaerkAxHEWNAr5BwAXHYr8uMZJkZa+CpzpoNYIEmSIVvP6xU+zUnMWZ8u+x8Pen43AWO6fup1d0rFXT8GmjO9nVLF5JQaEyRK6ciUvHRkp9kRisSwJ95FiUg++5p60BeKwuOyYWZBaraq56HbOyi/TFWUkqoUdOQBCTFuX1M3+kLGCcM0GtyRN7c0E06bVefREISYJNwY2uZJcUgsGDtGFKX4WEt0crDwOavrMNCc6eyUKomLBYbKR+LHmU6uHy6GGcn1w8eq13eTu9qM5PzUExKldESSJKX0YgeFUKsGL49cNClbc2u1KPB8I3KwqEcsxlClOKWydB2LXhR5XSj2uhBjwMe1Pr2HY1q2H+sCkLqOPIIYDboLLPEFd52RnFKdgohSBpqzhFNKH/GzLNt4ofp1On83FQdLl3HEAi6g6eWU4nNmpOOMO5S0zhTk8DlrMNBxpickSukMX7xSBz71SIScp+4CjjulDrb0Ki1lieRysKUXPcEI0hxWzCpMTUceMDhYn1AH6rxHECdGz1I0ACgzoOunQec5U7J+DOgu080plW3g40zv8j1DOaX0LUVLOKWMM2cNOs8Z329TN4lSo4FEKZ1ZRE4p1eHuoMUpmCfFyctwoiI3DYwBVbVdeg/HlHChYEFZFmwat54VCd4NjkpF1aEvFMG+ph4A1HmPIEYi4frRWSwwkOsnIbDonfVjnEWc3qVoRit5jMYYmuOLdN3K9wx2nDHGdBc/+Zw1+QKIxcTvKBobcJzpVr4Xd0p1+EMIhCk7+kSk7spJEOaXZ8EiyT8mzaSkJp36rn40+gKwWiQsLM/Sezi6sngShVCryfb4vC6qyNJ3IDozsCTZSK3QjcLOOh+iMYaiTJduC0eCMAL1OpdVGU0sCEViaOkJAhCgfM8gczZQLNB7zhq6+g3xm9vWG0Q4ymC1SCjw6CsWtPUGDdFoqrMvjGAkBkC/UrRCjxMWCQhHGdp6g7qMYSy09QYRiTFYJCBfp27YXrcdbruc+0m5UieGRCmdyXDaMDNe6kPOguTDhYKTijOR5rDpPBp9qaSwc1WhkiqZeaWZcFgtaPeHUNNhnBIMo6AcZykufhLESPQGI0qput6laEbJlGryBcAY4LBZkJfh0GUMZQNK0Yzgxmj3hxCMxCBJOooFXickCQiEY+jsEz+egZfuFWW6YNUp5zUn3QGnTV4CG0Es4HOWl+HUrbmJzWpRRMQGI8xZfIyFmS7dqhckSUrkShmo7FEvSJQSAJ73s51K+JJOQijI0ncgArB4gIMlaoCLPSPR1RfC4VY/gIRTKFVx2qyYW5oJgHKl1IBCzgnixPCSKq/bjgynPjekuIPF1x9Gb1D8bqR18Ryn0iw3JEkfsaDI64Ikya6tNr/4bgwuFuTrKBY4bVbFCdJgAIdZIudHHxEPkMUCI5XwJTK49JszINFNrtEAx1lTXATS8zgDEmK1EcRPvSFRSgAq42Vl5GBJPjyra1EKh5xzZhV5kO6wojcYwcGWHr2HYyr4cTYlLx056frcYRYJyspTB8aY8juR6uInQYyE3kHKAOBx2ZHpkgUxI+RK8cW5nnNmt1pQyN0YBhAL9M6T4hQbqOyRB2UX61x+rnTgM4CDpdGnb2A3JxEQL/53U++Qcw7ff6MB5kxvSJQSAC6Y7KzzIRSvGSYmTjASxZ6GbgBAZTkt4KwWCQvjjjHKlUou2xWhIEvfgQhCJXUVVYWajj60+0OwWyXMLcnUezgEISx1Ogd2c0qz5TwrI3STSwTD6z1nxgmI1zsYnsMdNEZwSukd2M0pGZDFJToNghxnJV7jHGeNgjiljCR+6g2JUgIwNS8dXrcdwUgMexu79R6OadhV341QNIbcdAfKcygQGEg4WHgJEJEcKE9qMHwe9jb2oC8kftmKUeDOs7klXrjs+pSKEIQR4IJGmc4OFiW42xACiyyc6b3wTYSdG0DIiy/Oy3QXC4wjsDTGHSwlert+vMbLR9JbyEu4fgxwnHF3md6OPKXkUfzjTG9IlBIASZKojboKDCxz0SsfQTQS+WV0nCWLaIyhipeJkigFQF7UFGW6EI0x7Kzz6T0c00DiJ0GMDr07onG4KFZnALFAKd/TW8gzkFNKGAeLkfKRfGLMGRcrjJCPxI8zvUvRjHScJUoe9RbyuFNK/DnTGxKlBEFxsFAGS9LgrgIqqUqwKF7GWN3mR4c/pPNozMGB5h74Q1GkO6yYVeTRezjCkBDau3Qdh5mgznsEMTrqO+Oh3ToLLGUGElhEK6syQj6SKOJnIutH/DkTIegcMJjAIsx300Dle12ilO/Jx1lTt/jHmd6QKCUICVGKHCzJYge5Co7Dm2bH9IIMAMB2ypVKCvw7u6A8S7f2xiJC57Tk0heKYG+j3KCAzmkEMTIihHYP3L/oAgtjbEApWpquYylT5kz8RZww7jKD5CMFI1G09cpdFfX+bibK98Ses0g0pggaurvL4gJLa29Q6AzkaIyhuUc+zvR2l3FRrMMfQiAc1XUsokOilCAsKPdCkoC6zn609Ij/Qyw6Tb4AGnwBWCRgfplX7+EIxSIKoU4qPJ+LhILBcDfPjppOMMb0HYwJ2FnnQzTGUJTp0v3ClCBEJhSJoblHjEWcUUrR2npDCEVikKREC3O9SMyZ2JlSfaGI4jjX+zjjDpaWHrHFgqZ4CZPLbkFWml3XsfDyvZ5ABD2BsK5jGYmWniBiDLBbJeRnOHUdS266Aw6rBYwBzQI7f1p7gojGGGwWCfkefefM67bDHc8AbaISvhEhUUoQPC47ZhbIpT9U7jJxuEtqVlEm0p02nUcjFovjuVLUgS857KCSqiGZW+KF3SqhrTeEOsEXZEaAypEJYnQ0+QJgDHDaLMjLcOg6Fu4GaekJIhgR9y45d0kVeJxw2PRdGnCBp1twsYC7kjxOG7xufQWWnHQHnDbxxYKB3Qr1znrNcNqQ6ZLXByLn/fDjrDDTBYvObnyLRUoEd4s8Z77EnOldwSBJkuKWEt2VpzckSgkEtVFPHjtquwAkXEFEAu7o2VnnQzgq7h01I9DpD+FImx8AUFlOTqmBuOxWnFQiuxTpnDZxKOScIEZHXbxrW6kAC9+cdAdcdvlSW+TuSw2CZCMBsljARR6Ryx55eaHeLilAXvgaoVRUlM57nBIDlD0mOu+JMWeKwCLwnHFHkt6uTw4X8sgpNTIkSgkEX2yQU2ri8LykSlrAHce0/AxkumzoD0exv6lH7+EYmh218nE2NS8d2en63pEXEaVUlFx5E4IxRo48ghglvFRO75wfwDhiAZ8zURa+RshIEuk4AxILX5HnrEGQwG6OETqjKSHngggsXFAU2fXTIEjIOacoM97pUeDjTARIlBIIvtjYWddFDpYJEIrE8Em93IaenFLHY7FIWEgh1EmB50mR+Dk01FU0OdR29KOtNwS7VcLcEsrII4iRECXknFOaLQeH1wmckaR0kRNEYDFCFpdoAosiFogsSvl45z0xjjNDOKW4wCLI+YzPmcjOz0bB3GUlSsmjuMeZCJAoJRBT82QHSyAcw75GcrCMl72N3QhGYvC67ZiSl673cISEi3XkypsY28m9MiK8JHlvYzf6Q+LmqYgOP87mlnjhigdmEgQxNPUDyvdEQHFKCSywJDrviTVndQKLBYqQp3O3Qk6JAboWilQmCgwUpQSeM8EEFiM48pTyvUwxBGNeRiiykCcCJEoJxEAHCy8LIsYOL3OpnJSle56EqCwip9SEicYYPlayy8gpNRSlWW4UeJyIxJjiXiTGzsBzGkEQIzMwTFkEyrINILAIWr5nBCFPFKeUEUoeuVOkWJA5M4KDpUHY8j1xBRZeWijKd5PPGZXvjQyJUoJBGSwTZwcJBSdkQXkWAOBYex/aeoP6Dsag7G/qgT8URYbThpmFHr2HIySSJJEAmgR4+SOd0wjixIiW9WMEgYUv4oSZs2zxBRb+eZYJMmdKWZXQAotY5XvFBih5FK8UTfzjrFGw40xxSgk8ZyJAopRgVCpOqS59B2JgtpOr4IR43XbMKMgAQCV844UfZwvLs3RvOSsylUqpKIlS46E/FMXexm4AwKIKEqUIYiRiMSZgppTYQef+YARdfWEAAs2Z4OHw0RhDU7doYoG88K3v7AdjTOfRHE93IIzeYASAmA4WEeesPxRFhz8EQJyOhdzl1tUXRl8oovNojicSjaGlh4tSYhxnfBydfWEEwhRlMRwkSgnGQnKwTIjWniBqO/ohSQk3EDE0iW6PJBaMByVPisTPEeFCyvaaLiEv+kRnZ10XIjGGwkynMPZ9ghCVNn8QoWgMFkmcduBcYGnyBRCNiXcO5MKPx2WDx2XXeTQyXMhr6QkiFBGv8U9zt/xZ2iwSCjxiHGdcHPOHougOiCcWcDdSVpodaQ6bzqORKfQ6IUlAMBJTxB+R4M6adIcVmW4x5izTZUeGUx6LiFlcLT1BxBhgt0rIy3DqPRwAshHAHc8DpRK+4SFRSjDIwTIxuMAyoyADmYJcXIkKd7BQWdX44N/PSnKvjMjJpV7YLBJae4KoE7h8RVQGlu5RRh5BjAwvqSrKdMFuFeMStzDTBZtFQiTG0Nwt3oKkXrDwaQDITXfAabOAMTFLXrjAUuR1CeOUdtmtyE13ABCzHE20kioAcNqsinAhosCilDtmuYX6/S8WuByNj6kw0wWLIN9NSZKEnjNRUP0X+7e//S2mTJkCl8uFxYsX47333lN7l4aHyl3GDy97rCwnoeBEcAfLx7U+RKLi3YkUmQ5/CNVtfgDAIjrWRsRlt2JuSSYAEkDHA4Wcm5+xXie9++67WLx4MVwuF6ZOnYrHH39co5GKj2gh5wBgtUhKyYuI5WhKBpdAcyZJktBZXCIKeYDYndFEnTPuQG4QUCxIBHYLNmc8V0pAIY87kUQp3ePw76aIcyYKqopSzz33HL71rW/h+9//Pnbs2IGVK1figgsuQE1NjZq7NTwUDDx++AJuUUWWvgMxANPzM+Bx2tAfjmJ/c4/ewzEU/Diblp8Obxo58k6EkpVH7s8xwRijkHOTM9brpOrqalx44YVYuXIlduzYge9973v45je/iRdeeEHjkYuJaCHnHJEFFi5gCDdnAmdx1Ql6nJUIHNzdIFi3Qk5CYBFvzriAIVrpfonAIruIjjwAKMqMl3EL6JYVBVVFqYcffhg333wzbrnlFsyZMwePPPIIysvL8dhjj6m5W8NDDpbxEYnG8HGt3Ha+khZwJ8RikbBQKeHr0nUsRiORJ0XH2Wgg9+f4qOvsR1tvEHarhHmlXr2HQ6jAWK+THn/8cUyaNAmPPPII5syZg1tuuQU33XQTfv7zn2s88hPDGENVbRde3lGv2bWMqG6M0qw0AGIu4sSdM3FFqQZB56xEmTPxFr6idZHjKB34BMz64ceZaAJLsRIQL+B3Mz6mYuHET3FdjKKgmigVCoWwbds2nHvuuYP+fu655+LDDz9Ua7emgBws42N/cw/6w1F4nDZMz8/QeziGQHGwHCOxYCxsP9YFgLqhjRYu3u1u6KbOI2OAi58nlXjhiodkEuZhPNdJGzduPO755513HrZu3YpwODzka4LBILq7uwc91KTJF8DP/rUPq362Hpc9+gG+9VwV/m/TMVX3yRHWKRUfj4i5enzORBMLSgR2l4ku5Im48BWxtBYQWywQV2BJdC0UjSZevpcp1pzxxhtNAs6ZKKgmSrW1tSEajaKwsHDQ3wsLC9HU1DTka7S+cBIVcrCMDz5XCydlCRNuJzq8cxzP4iJOTCQaw8d1XQDIKTVayrLdyMtwIhJj+KTep/dwDMMOpXQvS9dxEOownuukpqamIZ8fiUTQ1tY25GsefPBBeL1e5VFeXp6cNzAMPYEwHl13GDUdfeDZvP/e26zqPjmiigVlRnD9iCbkGWDOxBNYxBWlEu4yscQCkQUWYR15XnHL97jjrVi4ORPXkScKqgedf7pbAGNs2A4CWl84iQw5WMaOEghcnqXvQAwED4SvbvML2Q5XRPY396AvJDvyeKdMYmQkSUoIoFTCN2qoTDQ1GMt10nDPH+rvnNWrV8Pn8ymP2traCY54ZGYUevDl0ybjf6+pxKt3nA4A2FLdCX9Q/Tb1oopSCadUn84jGUw4GlMyTkSdM9EEFsaYsI487voRTWCJxljCwSJcKZqYTinGmLgljwOCzvnvjyg0KiWPYomfCaeUWMeZSKgmSuXl5cFqtR53t6+lpeW4u3wcrS+cRKaSHCxjpiruKqikkqpR402zY1p+OgASC0YLOfLGBy915KWPxMgEwlHsaZDdwtR5z5yM5zqpqKhoyOfbbDbk5uYO+Rqn04nMzMxBD7X54SVzccmCEswtyUR5jhuhaAwbD7erus/uQBg9AVn4Ek0sGFhWJdIirskXQIwBDqsF+RlOvYcziMScBRCLiTNn3f0R+ENyGXqJYAILn7Om7oBQmbRtvUFEYgxWi4QCj1jHGRd8mgWbM19/GH3x40w0gYWPpz8cha9/6LJxPQhHY2jtDQIQT/zk54rOvjD6QxRjMRSqiVIOhwOLFy/GW2+9Nejvb731FlasWDHka/S4cBKVReRgGROd/hCOtPkBAAvLsvQdjMFYRJ3RxgR3L1KY/tjgDsbtNZ1CLcpEZWedD5EYQ4HHKZyDgUgO47lOWr58+XHPf/PNN7FkyRLY7eJ1ApUkCWfOLAAArD/Qouq+uHslO82ONIdN1X2NleIsFyQJCIRjaBfomk4JUs5yCXeTpcjrgkUCQtEY2uILTRGo65LdbrnpDrgdYmX95WU4YbdKiMYYWnrEmTPuYCzKdMFmVb1IZ0zkx+csxiDUnDXEw+pz0x3CZUq67FbkpjsAJMYpAs3dAbC4yM7HJwqZbhvc8c+ROvANjapnhrvuugt//OMf8eSTT2Lv3r248847UVNTg9tuu03N3ZoCcrCMjaq4o2xqXjqyBTsRiQ4XV7bTcTYqEiVVWfoOxGDML8uCzSKhpScoZA6BaAws3RuplIswNie6Tlq9ejWuv/565fm33XYbjh07hrvuugt79+7Fk08+iSeeeAJ33323Xm/hhKyamQ8AWL+/VVVBWtSSKgBw2qyKE0mkMiElfFowVwEA2K0WFGaKl13DF+GilVQBciat0k1OqDkTs6QKkOeMH2dCzplgGVycYgED4nm5Y6HXKZzILkmSMmcidi0UAVVFqauuugqPPPIIfvSjH2HhwoXYsGED1q5di4qKCjV3axoqycEyavgCjtwrY2dRRRYA4OPaLkQFssiLSFtvEEfb5bukPI+LGB1uhxVzimX3K53TTgy/GcG/n4Q5OdF1UmNjI2pqapTnT5kyBWvXrsX69euxcOFC/M///A9+/etf44orrtDrLZyQFdNz4bBaUNfZrzia1YB3qhLVWcjFMpG6yYkacs4RMey8Pp4LJupxVixgCHWjwEIeIGYINRcuRCtD4/BxiSSwNAqaW8bh381GgdxlIqG6v/lrX/savva1r6m9G1OyaFI2/r6tjhwso4Avcil7ZezMKPAgw2lDbzCCA809inBAHA8/zqYXZMCbJl6pjOgsmpSFT+p92F7TiUsWlOg9HGFhjCnZZRRybn5Guk5as2bNcX9btWoVtm/frvKokkeaw4ZTpuTg/UNteHd/K6blq9Mggos9wi58s9zYUdMllFggajA8pyTLDRzrFMqN0SBo+DRnYBaXKNQL2q2QUyKg64cfZ6J+N5XjTCQhT3F+iukuK8pMZL4RxyNWYS8xCHKwjI5ojCnle7SAGztWi4QF5V4AVMJ3Iqh0b2KQ+3N01HX2o7UnCJtFwrxSr97DIYgJo5TwHWhVbR91ggssZQK6fuo6xZ4zEd1lIpeJAgnhRyiBRfluiikWJLrJiTdnIpY8AmJ2LeROqSJBnVIlApbvPfPRMXz9me14Y1fTiZ+sMiRKCQx3sPhDUexv6tF7OMJyqKUXvcEI0hxWzCxU5w6s2eFiHnVGG5ntxxI5P8TY4fO2u8GHQJi6jwwHFz/nlmQKF3BKEONh5cw8AMDWox2q3WTjYkGZoGKBiAILle+NnTrBBRYhRSnBS9G4s0Ys14/YjryEkCfQnPm4I0/M72aRgOV7W4924vVPGnGsXb3S+tFCopTADHSw7KglB8tw8OyV+WVe4bp6GAWlAx8dZ8MSicaws84HAFhUQaLUeCjPcSMvw4FwlGF3g0/v4QhLohyZjjPCHMwo8MBlt6AvFFXt4jdRipamyvYnimgCC2NM+LKqxJyJs4hrEPw44wtyUY4zQHyBRUQhL/HdFFNg4aJsg0CuH8NkSgkkfvJjvkgARx6t4AWHHCwnhkLOJ87C8iwAwJFWP7r6xGlXLRL7mnrQH47C47JhukqZKGZHkiQsLKcSvhORCDmncxphDqwWCbOK5LzCPY3dSd9+MBJFa7ydu6iunxLBRKnOvjAC4RgAcUuEEu6yPp1HIhMIi3+ccSFPlIVvIBxFu1++rhS1TDQR2i3GnEVjDM3dYgt5fM6auwPCRMwkRCkxz2d8zkTKlOJjEUHII1FKcBQHC2X9DAsPBF5MotS4yU53YGpeOgASC4aDi58Ly7OEazVrJHhWHuWXDU0gHMXuBnnRTtllhJk4Kd5EY09D8kUp7sRw263IFrQJBRcxuvrC8AcjOo8mUUaY73EKWybMF+TdgQh6AmGdRwM0xRe9LrtF2OOMl1X5+sPoFeA4406MdIcVmW7V+2uNC+5G6vCHhIgWaO0JIhJjsFokFHjEFFgKPE5YJCAcZWjrDeo9HIQiMWUc4opSYh1njDGhhDwSpQRHcbC0+dHpJwfLp/H1hXGopRcAdd6bKJUkgI4I5UklB3J/jszOOh8iMYYCj1PYu8oEMR7mlqjnlBpY6iJJYt40yHTZ4XHJi3IRyoTqu2T3kahODADIcNrgdcvijwjd5AZ2KxT1OBs4ZyIEd/PPrVjgOfO67UhzyMKsCN9NXhJXlOmCVdCboDarBUWZ4oSdN3cHwBjgsFmQk+7QezhD4nXb4bLL0kuTAK68zr4wQhHZLVuYSaIUcQIGOlh4hzkiAc9AmpybhtwMp86jMTZc1NtOTqkh4fNCJVUTY36ZF1aLhKbugBAXMqKR6PCYLewFPEGMh5NK1HNKJTqiiZnzw+FCc50A5z6e01QmsCgFDMyV0r+ET/QMLo5IpaINPvHnTJIkofJ+uPNTBPfKSBQLVCo60PEj6rWTJEkoEahUlAfD52U44bDpLwnpPwLihHAHC5W7HA+5V5IHn8Oq2i5h6sNFoa03iJqOPkhSwr1IjI80hw2zizwAqFR0KPg5bTGJn4TJmF3kgSQBLT1BJZcnWdQNcLCITKlAgcpcyBM1SJkjUtdC0Ts8cpRucgK4yxoE71bIESnsnI+hWPDzWbFXHKdUo9LhUezjjAeKN3XrP2dNApXuASRKGQLKYBke7l6ppAXchJlV5EGaw4reYAQHW3r0Ho5QcKFgRkGGYosnxs8iEtqHhDGWcErFz/sEYRbSHDZMiTu/k13CxxdFoosFIgksDQYT8kTowMfnrESAUOCREFFgEX7OvHzOBDjOfMYQjBPHmQBzxjs8Cn6cFYkkGMdFKRE67wEkShmCyni3qo9rfeRgGUA0xpSSRgo5nzhWi4QFZVkAyMHyaZTSPTrOkgIJ7UNT29GPtt4Q7FYJc0u8eg+HIJKOWmHnSvmeYQQW/cUCJR/JICWPYs2Z2MeZSKKUUlYl+HezOIuX7+k/Z8YR8sSZsyaewyWIwDIc/DMVIVOqSTB3GYlSBmBWkQfp5GA5joMtPegNRpDusGJWvByImBiKWHCMxIKBDMz5ISYOF9p313cjGNG/A4ko8ONsbolX2G5YBDERuNiabKeUUbJ+uJghglgwMBxeZBLuMv0zpRoMcpzxz1QkIU/040xxSgkgFnAhT/TjjAuNIsxZg0HEzyKRssuU8j0x5oxEKQNgtUhYEM+xoY5VCfhcLCjPErY7hdGgsqrjCUdj2FnXBYBKqpJFRW4actIdCEVj2K1C6LFR2UZ5UoTJSYSd+5K2zViMKXfqjeJg0bt8rz8URUe8o3NZlthOKVFKhGIxpozBKI68Bp0dLIwxw5SJiuQuUzKlBHGwDEei5FH/OVMypQToIjcSxZQpNSwkShkE3hltB4kFCtso5Dzp8BDvw61++PrC+g5GEPY19iAQjiHTZcPUvAy9h2MKJEnCIt7tkVx5CuTII8wOL9870uZHXyiSlG229AQRjjJYLRIKPWJ34eWd7pq6AwhHY7qNg7tXMpw2ZLptuo1jNHAxo7knoLQv14O23iBC0RgskgFKhLISJUIxHWM/OvvCCITlz0z0OVPK97r6wZh+cxaMRNHWKwvG4gt58py19QZ1/W4CAwQWwR15ilNKgEypJsqUIsYDOViOZwcFAied3AwnJufKd0131NKxBiS+c5WTsmEhR17S4F1Fd8Rz4VKdvlAE+5rk8mw6pxFmJd/jRL7HCcaA/U3JiSPgAktRpgs2q9iXtXkZTjisFsSYvpkiA0uqRG2fzsnLcMBhs4AJMmeFmS7YBT/OCjxOWC0SwlGGtt7kdrocC9xBk5fhhNMmdkk6d/34Q1F0B5IjmI8Hfoy77BZkpYndWCcn3QFn/LvZ3K3fd3OgkCd+Dpc8vnZ/CIGwfvEVjLEB5XskShFjgC/gDrf60dUX0nk0+tPpD+FImx9AIp+GSA4JAbRL34EIArlX1EFxf5JTCkCikUWx1yVMfT9BqMGcuFtqX5JFKdFL9wDAYpEUd4GeJS9GKakCZGetCGHnRsktAwCb1YKiTP1zpRLHmRiL3pFwO6zIjotAen436weEnIsuGEuSpAgaeh5nXMhz2sQX8rLS7HDaZPmlpVs/wdjXH0Z/XBQrFKTkkUQpg5CT7lBaKZOzIOHimZqfjux0h86jMRdUKjqY7eTIU4UFZVmwSHI4pQhdSPQmcZyR+EmYm6nxa5lj7ckJrjZK5z1OiQgCS6dxBBZAjA58RhLygIT7Qc8sLqMEw3P4DSE9u8nxsi6jzBkfp65zNiAY3khCnp6Zb3zOctMdwjTWIVHKQFTG8352kIOF8qRUhLvyqmq7dM0iEIHWniBqO/ohSYm8LSI5pDttmF0kOyZIAE1ka9E5jTA7k3LkEvFj7f6kbK++Sxa3jCIWlAoQdt5gIHcZIMacKeKnQeZMhOBuo3SR4yRcjPoLeaKUVJ2IYiXsXL85U0LODTZnet6QFS1PCiBRylBUxu+g0wIu0XmPFnDJZ3aRB267FT2BCA619uo9HF3h7pWZBR54XGJbgo0Id+WlelYeY2xAmWiWvoMhCJWZnMdFqSQ7pQwiFvBx6un6qTOY60cEgaXeoA4WEUoejSIWiHCcNRhWyNNTZBdPYBkJ/n1o1FGUEi1PCiBRylDwxUpVTWo7WCLRGD6u6wJAJVVqYLNaML/MC4AEUCrdUxfKL5OpbvOjsy8Mh82CuSVevYdDEKoyKYeX7/mT0uWKL0iMIrCUZcuiXJ0Irh+DzJkIQh7fd5lR5kwIscBYx1mifE9/10+JAXK4ADHmjLt+RA8553DxrEnH8j2+b5GEPBKlDMSsQg/SHFb0BCM42JK6Dpb9zT3oC0Xhcdowo8Cj93BMCc+14Y60VGVH/P1XkiNPFfhx9km9D8GIfl1I9IaLcvNLvXDY6GeZMDflOW5Iktzlqt0/scYtjDFDBZ0DQFl8nHWdyXGKjZVojKEp3inLKHMmUqaUcRwscdePjgvfBsO5y8QR8mjORo9SvmcUIU/5borglBLnOKOrXwNhs1qwoCwLQCJTKRXhC7iFk7JgtYgdaGdUEg6W1D3OQpEYdtZ3AaAyUbWYnJuG3HQHQpEYdtV36z0c3aCQcyKVcNqsyh3tieZKdfdH0BuU27cb5S55eTxTq76rXxfXe3N3ANEYg80iocBjjEXcQFEqGe66sdIbjMDXHwZgHAdLohRNn4VvOBpDS4/RRCn9hTwedC6SWDASiaBz/QQWo5XWFmdyp5QIopQ45zMSpQzGksnyomXrsQ6dR6IfPBCY3CvqwbN+Drb0KhdiqcbuBh8C4Riy0+yYlp+u93BMiSRJihCzjc5plCdFpAyJsPOJuYXq4iHnuekOuB1idBA6EYUeJ2wWCeEoQ0uP9i3BuaOhyOsyzI29Iq8LkiTfLGrrnZi7bjzwcsdMl80w+ZJ8gd7hDyEQ1t6J3NwdQIwBDqsFuQbpkl3sTYgFegjG3YEwerjIbhDxk8+Zrz8Mf3zsWmO0MtEiJVNKf3cZle8R42bJ5BwAwNajqetgoUBg9cnLcCqLho9ru/QdjE7w79jiihzhW8wamaVxoX1Lip7TegJh7G/uAUCOPCJ14GHnRycoShkt5ByQXe+8zESPEr56gy3gAMBhs6Aw7urSo4Qv0a0wTfN9j5dMlw0ZThsAfUqruEOrOMsFi0HEz8JMWfwMRxna/NoLxtwllZVmR5rDpvn+x4PHZYfHJY9VD5FloItRJNfPSPBzb1uvPoIxY4zK94iJUzkpC5IE1HT0oaVbP9ufXrT1BpU7q5XltIBTk0Up3hmNuxG5aEKow+IKWWjfdqxTl7IMvfm41gfG5JyZgkxjXFARxEThYec1EyzfM9odck5Zlixu1OogStUZUMgD9M2uSXQrNM45WpKkAXOm/XpByUYSaNF7IuzWhPip55yJJBSMBv4Z6zFnjV3GczFmpdnhtsvOXj1K+HqCEfSFZDGsSKDrThKlDEamy47ZRZkAgK0pmCu1I54nNaMgA940Y5x8jAovj9yRgp3RGGOKU2oJiVKqMq80E06bBR3+EI60TWyBakQSzk86zojUYXJukpxSRhWleNh5h/YCS22HPOflBnL9AAmXUr0OXQuNKn4WK2KBDnNmsPBpDh9vo45zZiTxE0jMmR7HWb3BguEBWTDWc874PrPT7EKVvZMoZUC4cyMVS/hoAacdA8PO9ait15PqNj/a/SE4bBbMK/XqPRxT47RZEw0cUvCcto3ypFKWzs5OXHfddfB6vfB6vbjuuuvQ1dU14mtuvPFGSJI06LFs2TJtBpxEJsVFqZqO5IhSRlqQAEBZXGCp00Fg4fvkgetGQc8OfFwIM9pxVqLjnBlVyCvRsTOa0ULOOYr4qcOccXeW0Y6zUgGOM9HOZyRKGZDFFakbdr6lWn7Pi6lLlerMKfYg3WFFTyCiZN6kCtyFuLAsC06bOHcRzMoSJVcqtc5p0RijznspzBe/+EVUVVXhjTfewBtvvIGqqipcd911J3zd+eefj8bGRuWxdu1aDUabXCpy5fK9Dn8I3YHxN9MwYqYUMMAp1aV9+R4vGSwz2Jxx94i+mVLGnDM9M6VEW/ieiBKv/g4Wo81ZqZ7uMoPOWYmOLkZRb+YYI0WNGMTSeNj57oZu+IMRpDtT42MMhKPYWecDACydkqPzaMyPzWrBoopsvHewDVuOdmBOcabeQ9KMrXFxZDGV7mkCF6W2pVhJ8v6mHvQEIkh3WHFSCn2/CGDv3r144403sGnTJpx66qkAgD/84Q9Yvnw59u/fj1mzZg37WqfTiaKiIq2GqgoZThvyMhxo6w2hpr1v3I5Uo5bvcZeS1k6paIwpiyDDOaXigpAe5XtKDpfBjrOE64fEgtHCXT96hHbzz8konfc4iTnTMbvMYMeZ8t0kF6MCOaUMSEmWG6VZbkRjLKU6o31c24VQNIa8DKeSR0GoCxdAU60zGi+NpZBzbVg8ST7OjrT50darfccbveDOsEUV2bBZ6ec4ldi4cSO8Xq8iSAHAsmXL4PV68eGHH4742vXr16OgoAAzZ87ErbfeipaWlhGfHwwG0d3dPeghAtwtdXScYeeBcBRtvSEAxnP98PE2dPUjqmF5fHN3AOEog80iCRVwOxpK4+HwWgsswUgUzT3yYttoQl5i4atn0LmxjjOl5FGX7DJjusvEyJQy1nFWLIDzU7Q5U/Uq+IEHHsCKFSuQlpaGrKwsNXeVcvDytVQSC3hJ1SlTsiFJxmgva3SUsqrqjpTpjNbeG1QCt7lYQqiLN82OmYUZAFLLLcVFKS7+EqlDU1MTCgoKjvt7QUEBmpqahn3dBRdcgGeeeQbvvPMOfvGLX2DLli04++yzEQwOL+Y++OCDSm6V1+tFeXl5Ut7DRKmIL/CPjTPsnF9Ypzus8LqN1fikMNMFm0VCOMrQrGEnZR5yXpLlhtVirOsovoDq6gvDH4xott+GrgAYA9x2K3LTHZrtNxmUDnBjaHkN1xMIozsgf0bFBhNYuGCstVgQizGlE1uxwYS80gGOPK3XColweGMdZ3y8+rjLxBQ/VRWlQqEQrrzyStx+++1q7iYlUcLOUyhXanM1LeC0prI8G3arhKbugC6BrHrAxc+ZhdThUUuWxL/XW1MkV4oxRqKUCbn33nuPCyL/9GPr1q0AMOTNFcbYiDddrrrqKlx00UWYN28eLrnkEvzzn//EgQMH8Prrrw/7mtWrV8Pn8ymP2traib/RJMCdUsfG6ZSqH5DzY7QbVVaLpCwItPxtrVVCzsVajIwGj8uOTJccV6GlYMCFvDIDHmeFmS5IEhCMxNDhD2m2X77Q9rrtyDBYxAgXpdp6QwiEo5rtt80fRCgag0WSPzcjURQX0QLhGLr6xp8ROFYGCnmiCSwnokQnwRhInD9FC9RX9Uxx3333AQDWrFmj5m5SksUV8iJmR00XojFmuDteYyUaY9h+jJdU0QJOK9wOK+aVerGjpgubqzsMZ10fD1wUWULHmaYsqcjGXz6qUURBs1Pb0Y/m7iDsVgmV1HnPNNxxxx24+uqrR3zO5MmTsXPnTjQ3Nx/3f62trSgsLBz1/oqLi1FRUYGDBw8O+xyn0wmn0znqbWpFRe7EnFJG7YjGKct2o6ajD3WdfThFo5zMunjIeXm2MX/LS7PT0N3Yjfqufsws9GiyTx4Mb8TrH4fNggKPE83dQdR19iM3Q5vzQGLRayxxBUgIab3BCOo6+zG9IEOT/fKOaAUeF+wGK+d32qxKRmB9Vz+yNXIUtvUGEY7Ka+ACj3i/cSPBvxt9oSh8/WFkpWkzZ9EYQ1O3mB0LhTrqRc09EJFZRR544ifNfU3mn6e9jd3oCUaQ4bSlVOC2CHARMFVceVuPUZ6UHvDjbFe9T9O7k3qxOS5+nlzqhctOHR7NQl5eHmbPnj3iw+VyYfny5fD5fNi8ebPy2o8++gg+nw8rVqwY9f7a29tRW1uL4uJiNd6OqnBRqrptgk4pwS6sR4vSgU9Lp1SHMUPOOUoHPg3njH8+Rsst45Rlax+qX9dhXCFPkqQB303tumPyYPViwXJ+RkuJDuVo/Deg0OM0XC6na0A5sJbOz9aeIKIxOVcwXzAhT6hPUNTcAxGxWiSlhfjWFMiV2jogENjsrjDR4GIBL580M/2hKHbVyx0el1SQU0pLyrLdKPA4EY6mRgOHLVSOnNLMmTMH559/Pm699VZs2rQJmzZtwq233oqLL754UOe92bNn46WXXgIA9Pb24u6778bGjRtx9OhRrF+/Hpdccgny8vLwuc99Tq+3Mm6m5ssOhJaeIHoCYy/5GFi+Z0TKFbFAu4Uvd/0YVWDhAqQe5XtGdZeVxz/rWk2Ps7j4adA500Mwrhc052e0cOePll0LRc1GGi2KkKdhIwJ+7izyuoRbT49ZlBpLXsJYETX3QFSWKGHn5hcLeKD7KeRe0Rx+nB1u9aPd5J3RPq7rQjjKUJjpNOxFu1GRJEkJ1k+FEj7KkyKeeeYZnHzyyTj33HNx7rnnYv78+fi///u/Qc/Zv38/fD5ZKLdarfjkk09w6aWXYubMmbjhhhswc+ZMbNy4ER6PNqVMycTrtit3ao+0jt0txd0yhnVKxXOduHtJC+oV148xxYJSPdxlBs7hAhKfNRfXtKCOxM8x02jQboUcnk+kZafHRBc5Yx5nvHmDlh1FRZ6zMWdKjTYvYTyImnsgKolg4M4ThqMaGcaYUupCCzjtyU53YEZBBg629GLrsU6cN7dI7yGpBu/8tmRyjmm/TyKzpCIHaz9pMn3YeduADo9LSGhPWXJycvD000+P+JyBAahutxv/+te/1B6WpkzLT0drTxCHW3uxoDxrTK/lC0ajLnyVsqoubcSCcDSmuBiMKrBMytFeYKlXBBZjCnn8s66lMtFRo0fJIxcmRAufHi2KwKKhkFcvsMAyGvhnraX42SCw+DlmUSovLw95eXlqjIUYIwvLs2CzyJ3R6rv6DfuDeSKOtfehtScIh9Uy5otWIjksnZKDgy292FLdYWpRirtXuDuM0BYu0Gw71olYjMEimLU4WXDRbVahR7NwS4IQkWn5Gdh0pAOHW3vH9LqogbsucbiY1tAVQCQaUz0TpaGrHzEGOG0W5GsUeJ1syjUWpfpCEbT1yl3rjFqKpmeZqFHFTz0ypYyeXZbIlNJeYCk1aA5XaRa5ywai6i9gTU0NqqqqUFNTg2g0iqqqKlRVVaG3d2wXH8TQuB1WzC31Akg4PMyIEghcRoHAenFK3KFm5lLRWIwp3yNy5OnDScWZSHNY0R2I4GCLeX8nNlfHj7MpJH4Sqc20eK7U4Zaxle81dwcQiYe1FniMuSAp8LjgsFoQjTFNwoEHLnqN6gTmolS7P4TeYET1/fE587hs8KbZVd+fGvA5q+vsRyymfuv5nkAYXX1yRpxRb5br4ZSqNXA4PKBT+Z5PXIFlNCQypSi7DFBZlLrnnntQWVmJH/7wh+jt7UVlZSUqKyvHnTlFHM/SFMiV2kqle7rDHSy7GrrRF1L/QlAPDrT0oCcQQbrDitlFxstnMQM2qwUL425IM5/TKE+KIGSmxdutj9Upxe/2FmeJF9Y6WqwWScmVOtauviPD6IteAMh02ZEdF4e0cEvVGbx0D5ADqK0WCaFIDK0a5IJyISc7zY4M55gLcoSAZ5e19gQ16QbcG4ygUxHyxBMLRgMv32vqDiCqgfgJmCHoXPuSR+5kEzGLUVVRas2aNWCMHfc488wz1dxtSqEEA5u4A58Sck6uAt0oy05DideFaIxhR02X3sNRBX6cVU7KNlxrWTPBs/LM6v7sDUawu0EOriZRikh1psdFqaPtfkSisVG/Tum8J+CF9ViYnJsOADjWMfag97GilFQZWGABErlSNRqIUko2kkGFAkC+2VOUKS9+tRDyzCB+ZqfZkeaQKzO0EAy4+JmVZofHZUxHXoFHFj+jMYbWHvXFz/5QFB1+ubTWuKKUPO6m7sCYfv8mQsqW7xHqszjetn5/cw98/WNvqSw6LT0BVLf5IUmJ90row9Ip8vxvrjang4U78ih4Wl/M3lV0R00nYkxeTIt4UUAQWlKc6YLbbkU4ysYUxMydRUZ2sAADBBYNnFJGz6zhaJkrZQaBBRgYdq7BnJngOJMkaUCulPqiVEL8NO5xZrVIivipRTc5fmMiw2lDpsuYjrz8DCfsVgkxBjRrIOT1hRKOvBIBc7hIlDI4+R4npuSlgzFg2zHzLeK4A2xWoQdetzHvHpiFpSbPleLHGrlX9GVRRTasFgl1nf2adiTRii1xUfeUKXScEYTFImFqvuwWOjyGHLkj8XI//lqjUpErL0KPtmvglDKJwKKlU8o0Ql42F/K0c/0YWWABEoK3Ftchie+msY+zYq925Wi1SmmtcTPyLBYJRfE50yJXipc7epw2IR15JEqZAB5C/dER84kF3JVDQoH+8M9gR00XwhrZTLWitqMP9V39sFkkJdOI0IcMpw3zSjIBAB8dadd5NMlnM+VJEcQglLDzMeRKHWmTRZypeRmqjEkrlPI9DZxSNSZwYwAal++ZRGBJhJ1rV/JodCGPlwZrMmcmOc4Swd0aNG4wicheEg+I10L8FLl0DyBRyhQsmyYvbjaZsKxqa9z9tZRcBbozoyADXrcd/eEodjd06z2cpLIpLn7ML/Mi3aDBnGZi2dRcAOYT2kORmJLJRhl5BCEzVlGKMYYjrf74a43tlJqUmxBYGFMvHLg3GEFbPOS6Is/YizhtM6XMsfBVyvc0dEqVGXzO9CjfM7qQV5ylXfmeGcpEgUSovhbHWUKUEq90DyBRyhScOkVewO2q92nSIlcregJh7ImLH6eQq0B3LBYJS+N5S1tMJoB+FH8/XAwh9OXUqXH3Z7W5nFKf1PsQjMSQnWZXFuIEkepMK4iX77WOroSttSeI3mAEFikh6hgVufQE6AtFVe2MdjTuLMtNdyBTwLKNsaC4fjr6EVOxy5evP4zugHxNbfSFLy9FUztTijGmLK6N7vrhc6aFWGAWIY+7frRwSimCscGPs0RprfoiOzmlCNUpyXJjUk4aojGmhDWbge01XYgx+Q4Pr7kl9GWJSXOluFPqVBKlhGDJ5BxYJOBoex+afOpf3GjFFiVMP8ewGQgEkWy4QHuopXdUbiEuXpXnpMFps6o6NrVx2qzKQk7NsHNeHjg5z9jOMkDOrbFZJISiMTR1q/f7wIWCnHSH4R3UfOHb6FO3y1dXX1i5OW50IY87WOpVFqXMJORxsUOTHK5Os7gYtRGMgYTASqIUoSrL4s6CTSYqd9kcd0kspa57wsDDmTcf7VD1DqWW1Hb0oa6zH1aLpHR+I/Ql02XH3BIvAHO5pZSQc3J+EoTClLx0SJLsTOEtvkfiSFs85NwEAguQCDtXM1eKB6lXGNxZBgA2q0URDNQs4Us4McRcwI2FAo8TDpsF0RhDo4o3evjCOt/jhMtubMGYi2rNPQEEI1HV9mMmIU/TLo88I8/g4fD8/KJFaS3/XCYJKuSRKGUSeAmfmRZwGw/L74VKqsTh5FIv0hxWdPWFsbfJHLlSvHSP8qTE4tQpXGg3xzktGmNKyDl13iOIBC67VVmMHRpFB77DLTxPyhwlsAlRSr0OfLx8jwerGx0tcqWOxkXCChPMmcUioSyLL37Vm7OE48fYQgEgl7q67BYwpm45mpmEPO706uoLw9cfVm0/3YHE9o3uLuMlmw1d/YiqfLM/IeSJOWckSpkEnsGys84HvwlypXqDEeys8wEAlk8jUUoU7FaLsqDmoqHRUUr3ptBxJhJmCzvf3eBDTyACj8uGeaVevYdDEEIxo8ADANjf3HPC5ypOKdOIUvEOfKoKLHFRyiTuMi5KqSmwKEKeSeasTIMyIf55lBlcKAAASZKU96Gm+GkmIS/daUNehgOAyuJnXFwxQ2ltUaYLdquESIypWo4cjETR3CNvX9RjjUQpk1CWnYaybDeiMYZtxzr1Hs6E2XK0A5EYQ1m2W1hFN1VZHhcLzOJg4e5CXgJLiMHSKTmQJLn1e4uKP9Ra8eHhhPhptVCeFEEMZG5JJgBgd/2JHbi8895Ug3fe41TkaFG+F8+UMkH5HqCNU6o6LkpNMXi3Qo4W3eQSOT9iLnrHCv++qCkYm6XDI6dcA8FYOc4EFVfGgtUiKRlPas5ZfWc/GAPSHFbkpDtU289EIFHKRCwzkViwKb6AW0EuKeHgzrWPjnSoGpipBXWdfajtiOdJUc6PUHjddpxULC9UN5mg2+OHdE4jiGHh3/U9jSOLUsFIVAmgNosoNUnl8r3eYAStPXJnPzOUogHaiFJKOLxJ5qxcA9cPLw8yg1MKACblyJ99jYqltQmBxRxzVqHBd1Nx5JlFyNOgA1/NgG6FojbaIVHKRHBR6kMTlFVtjAtrVLonHnNLvPC4bOgJRrC7wdi5UrwxwLxSLzIMbgE2I/yctvFwm84jmRihSEzpjErnNII4Ht7YYH9TD8Ij3Ow41t6HGAM8ThvyM5xaDU9VuFDUqVIOCxe7ctId8LrtSd++HqjtxugPRZVSGrOIUtz1c1TVLo/mCdQHgMl56s+ZWQK7OVoIxmbpVshJBMSr6WIU/zgjUcpE8DvwO+u60B1QL2BObXz9Yeyqj+dJTc3TeTTEp7FaJCV/aaPBXXkfHpLFDnKviMlp0+XP5f1DxhaldtZ1oS8URU66A7MKPXoPhyCEozzHDY/ThlA0NmLY+ZFWnieVLuzd3rGSMSCHpUaFxe/RNnOV7gEJd1lbb0iVHFWeweV125EtaKnLWOHZWNWtvWAs+YHK4WhMWfhOMUkOl5L3pqJTijs/zeIuK9fQKSWywDIW+Gdfp2LeW50BykRJlDIRJVluTM1LR4wZOxx4c3UHYkxu91zkdek9HGIIuNvDyGHnjDFF7Dh9OomfInLKlFzYLBJqO/pVtTWrDf+eLJ+aCwvlSRHEcUiShDk8V2oEB+5hJU/KHCHnHO4uONaR/MWvEnJuEscPAGS67MhOk11fPPspmZgt5BxIfP7dgQg6+5J/47q2ow/RGIPLbkGhxxzX7gNL0WIqdEZjjJnO9aOFU8psJY9K3luHBnlvAs8ZiVImY0XcWfCBgZ0FH8ZLdajMRVx42PmWox0jllqIzOHWXrT0BOG0WbC4Ilvv4RBDkOG0YWF5FgCjn9PiYfp0TiOIYeFh53tGEKWUkHMTiQVAQjBQI+zcjAILkBAmj6ghSsU/hykmcpe5HVYUx2/0qiLkDRA/zXLzpTTbDatFQiAcQ0s8ly2ZtPYEEYzEYJGA4ixzCHncxVjf2a9K7ixjbEDJozm+n+WadMYUf85IlDIZ3PFh5HIXxVVACzhhmV3kQXaaHX2hKD6u7dJ7OOPi/YPyd2TJ5Gy47FadR0MMx2kGP6cFwlFsq5E7olKZKEEMD8+V2t3gG/Y5R9p4+Z65nFJcMDrcOnzp4njhQpdZcn44XJg8osKccSHPLMHwHC5+HlVBlKqOl4mapXQPAOxWi+JiUaOEj3f1K8lyw241x5K80OOCw2pBJMbQ6Et+5+R2fwj94SgkCSgxiZDH3UtN3QEEI1FV9mGEzpjm+AYQCsum5kKSgEMtvWg2YBv11p4g9jX1AEiEHBPiYbFIWDHN2GLB+4dk8fM0Kt0TGv75bDzcrop9Xm22H+tEKBJDgcdpOncHQSSTgR34hsq8CUdjOBC/PpheYC5Rir+fwyPkaY2X6vhi2kxiATDAKdWqgsBi0jmbEu9YeVQFgcWsjjyltFYFF2N1q/mOM4tFQhkP7lahhI9vs9DjgtNmjhvKeRkOuOwWMAY0dCV/7d4dCKMrXrJL5XuEZmSlOXByqXy30YjlLnzMc0sykWeSzjpmZeUMWSx476DxjrNINIaP4iHtlCclNgvLs5DmsKLdH1IEayOxIf79OH1GnmmCmQlCDWYUZsBhtaAnEFFyVgays84HfyiKrDQ7ZphVlGr1JzWE2h+MoDVedlSRY56FLyCH3QMJ91wyMavAMiWXz5l65XtTzOouU0HI45+DmUQpYHAWV7IxQhe5sSJJkqph51zIy0l3IF3gTuMkSpkQIztYNhxsBQCsnJGv80iIE3F6XJSqqu1SpY21muys96EnGEGmy6aUjBBi4rBZcMqUHACJvDkj8V78nLZqJp3TCGIk7FYLZhbJ4sxQJXyb4jcSlk0xX8OAybnpsFok9AYjaEqiy50vpLPT7PDGg8HNwrS4U6o6yUJeXyii5AeZqWMhkBDZ1CnfM6eQx8tej6kgsBw1qSilZti50nlPYMfPeCjP5u6y5IedK3lS2WILeSRKmRDu/PjwULsqbV/VgjGmuG7OmEHuFdEpy07D1Lx0RGPMcF34PogfZyum5cFqssWNGTktLrQbzf3Z2hNUOolRmShBnBhewjdUBz4z5006bBbFXXAoiSV8R+M5P2YTCgB54Wu1SPCHomjuTl4INZ+zrDQ7stIcSduuCEwZIEolc30QjETR0NU/aB9moUJpQqCekGe2OSvPUU/I406iMoEDu8eDmmHndUqelNhzRqKUCVkyORsOmwVN3QFVQjPVYn9zD1p7gnDZLVg8mbqhGQFewvf+oVadRzI2Pog7bk4j8dMQcEFn05EO1UIg1YDKkYmReOCBB7BixQqkpaUhKytrVK9hjOHee+9FSUkJ3G43zjzzTOzevVvdgWoId67urBvslApGoth6rAOAOUUpAJgWL+FLpih1oDmewWWyYHhAFvK4IyOZYecDu8iZjUk5abBIgD8URWtv8oS82o4+xJjcMTcvw1xCHnfLHWvrS6qQF4uxRMmjyUQp/r1UI1PKrB1YufNLzRwuEqUIzXHZrThlslzusn6/ccSC9w7IC7hlU3NNE15ndniZpZFypXqDEWw7JndDozwpYzCn2IN8jxP94Si2Hu3UezijhsqRiZEIhUK48sorcfvtt4/6NT/96U/x8MMP4ze/+Q22bNmCoqIifPazn0VPj/Hy1obi1KnytcsHh9oU5wUAVNV0IRCOIS/DYbo8Kc50FUSpgy3ycTGz0JO0bYoEX5geTmI5mlmFAkAW8krjJTzVSQyI50LB5Lw002UnluekQZKAnmAEnX3Ji6po7A4gGInBbpVQmiV2WdVYmZSrXvmeed1l8fK9IfIUJ4qSwyV4ySOJUiblzFnyIujdA8YRpWgBZzyWTcuFzSLhWHufKtZmNfjgUBvCUYaK3DTT/aiZFUmSlEym9ftbdB7N6BhUjjyTxE/ieO677z7ceeedOPnkk0f1fMYYHnnkEXz/+9/H5Zdfjnnz5uFPf/oT+vr68Je//EXl0WrD7KJMLJuag0iM4U8bjyp/38jzpKbmmm7Ry+FupuQ6peRtzSwyqSjFw86T6ZSKL3orTJYnxZmSJx9nyQzuNrO7zGW3oijTBSC5c8ZFwUk5abBZzbUc5+JHV184qZmzPYGwkvfGO0mahUk56pWJ1ihOKbHFT3N9CwgFLkp9dKQDfaGIzqM5MYFwFJurZWs+5UkZhwynDYsq5FJLo7iluHvwTAqeNhRGE9r3NcnlyG67FYsrqByZmDjV1dVoamrCueeeq/zN6XRi1apV+PDDD3UcWXK5+fSpAIBnP6qBPyhfv5g5T4qT6MCXHIElGIkqAsvMQnO6y6bGhbwjSXT9mNWJwZkSF9uq25LnYuHbMuucKWHnyRSlTOzIS3falMiCZJaj8by3vAwnMl3matwwOS8h5HX6Q0nbLmMskSlFTilCD6blZ6A0y41QNKZ0rBGZLUc7EIzEUJTpUi7MCGPARcQNBhALGGN4N+60OXNWgc6jIcbC6dPzYJHkO/8Dy3pEhXfdWzY1h8qRiaTQ1NQEACgsLBz098LCQuX/hiIYDKK7u3vQQ2TOmV2Ayblp6A5E8PdtdQiEo9hR0wUAWD7VvKIUz5Rq6w2hq2/ii5LqNj8iMQaP06Y4PcwGL9870pYcIY8xprjLZhSY012mRgc+s3aR40xWws6TKOS1mn3OuPiZxDLR+PfcbHlSAJDmsKHYK5+nk3U+A4Dm7iAC4RisFgklgpeJkihlUiRJwqpZvNxFfLGAj3HljDzTWvPNyhlxx9EHh9qED6E+2NKLBl8ADpsFy0y8uDEjWWkOVE6SHUdGOKdxRxeVI6cW9957LyRJGvGxdevWCe3j07+RjLERfzcffPBBeL1e5VFeXj6h/auNxSLhptOnAAAeXXcIV/1+E0LRGAoznaZdwAGy85gvSpJRwqeIK4UZpr2u4k6pus5+BMITv/5o6QnC1x+G1SIppYFmg3+HkikWKOV7Jv1+8oykZAp51XHhgZdTmo1p+cl1fgLmdzEmypGTmfcmz/+knDQ4bGLLPmKPjpgQZ85MiFLJ7BiRbBhjeHtvMwDgnDnkXjEa80q8yPc44Q8lSjBFhecRLZuaC7eD3CtGg5/T3j0gdq5UTyCsfBfOnk3ntFTijjvuwN69e0d8zJs3b1zbLioqAoDjXFEtLS3HuacGsnr1avh8PuVRW1s7rv1ryecXl8HrtqOlJ4iPa7sAAJ+rLDOtuMJJZtj5wWZzh5wDQF6GAx6XDYwlx8Wyv0mes8m5aXDZzXmNwBf0R9v9iMUmvjboD0XR6AvI2zZhphQw0JGXTCFPPl552ZbZmFYgz1kyM/K4WGO2PCmOGoIxbwJhBHeZTe8BEOqxYnoe7FYJNR19ONreJ6yyfKTNj6PtfbBbJZxOrgLDYbFIOHtWAZ7bWot39rUI7QyhPCljs2pWPn7x1gF8cKgdoUhM2Ls+7x2Uw/Sn5qeb9s4xMTR5eXnIy1MnF3HKlCkoKirCW2+9hcrKSgByB793330XDz300LCvczqdcDqdqoxJLdIcNvzvNZVYt78Fc0u8WDQpS9hrmGQyLT8D7x1sS5JTShZYZphYlJIkCVPzM/BxbReOtPZi1gQD3fmcTXQ7IlOa5YbdKiEYiaGxOzDhzm/cJeV125Gd7kjGEIWDf4cONvciFmOwWCYmjoejMSV8eqrpnVLJz3szgsAyHrhrLqklj3GnlBGcn2Je0RNJIcNpw9LJcntlkTtWvbM34V7JcJJOakTOjjvc3t7bIqwrrzcYwZajsnuFh2YTxmJeiRe56Q70BiPYdqxT7+EMy7+585NcUsQI1NTUoKqqCjU1NYhGo6iqqkJVVRV6exOCxOzZs/HSSy8BkBfg3/rWt/DjH/8YL730Enbt2oUbb7wRaWlp+OIXv6jX21CNM2bm44eXzMXnF5dhar55S9AGojilklDycjBevjfLxKIUAEyLL1CTUSa0r8n87jKb1aIIIQfi73ciKOKnifNgK3LS4LBa0B+Ooj4JmZa1HX2IxhjcdisKM411w2C08HPZkf/P3n3HSVVf/+N/3elbZ3uvtKXDUhQQBCQioChibLFALN9Yk2hs+PlF0ZgQYzSaGGsUTDRWUIkdpSodlg7LArts771Mf//+mHnf3WULW6bccp6PxzwesDtz533vlH3fc88576pmr2TkMcbag1IyCLAMBN8v7wal+DGT/ufTZ0GpgoIC3H777cjMzERQUBCGDh2KJ598Ejab9zrKk/PjJ98bT0g3KPXDCfcJHJW5yNfMYTEwaDUorG316lURb/rplDt7JS0qWBVX3JVIo2nvlcdLfqXG6WJiRt68UT2XVBHyxBNPIDs7G08++SSam5uRnZ2N7OzsTj2ncnNz0dDQIP7/kUcewW9/+1vcc889mDJlCkpKSvDdd98hLEy5J9Fq4q3yPYvdKWawKHXlPY43iOc9tAZDzJRScFAKaM8EO14++EUPeCBvZKJyj5lOqxEDBnmVgw/kdezBpdRge0qkO5Bndbi8EsirarKi2eqARgBSo5RZ8jikQ/meNwJ5gLyaw/ssKHXixAm4XC68/vrrOHr0KP72t7/htddew+OPP+6rpyTd+JnnpGjH6Ro0tNkDPJquGtrs2FPgzniYN5JO4OQqxKjDNM9S3RtPSDNYsOFYe98ypU4C1OBSz3fahuMVkszKO1BUh9oWG8JNOkxOjwz0cIiErVmzBoyxLrc5c+aI92GMYfny5eL/BUHAypUrUVZWBovFgi1btgy4RxWRHp5tUlLfhmarY8DbOV3VDBdzl1TFhikzE4MbnRQOADhWNrgAi8vFxKDUCAWX7wHtQalcL2RK8W1kJYQPeltSxkv4vBH8FLNXZBAoGCitRhAvAHsj85P380qJDFbsisYdS2tLGwYfyLPYnSiuc29H1ZlSCxYswOrVqzF//nwMGTIEV155JR566CGsW7fOV09JujEkNhTD4kLhcDFJlvBtPVkFp4theFyouLoFkSdeqvTDcem9zxxOl5hZM390QoBHQwbj4hGxMOg0OFvT6pXJobfx9//srDjotVQhTwjpu+hQIxLNJjAGHC1pOP8DesBL90YoeOU9bkyiOxhypqoZbbaBr8BXVNcKi93dqzBdoZkY3KhE7wWlTniCgSMVHsgbIWbkDf6Y8fIspTY553jm52kv9MhTeuke4M7IS/N893ijhO9sTSsYA8JMOsSESr/fm19nzA0NDYiKiurx91arFY2NjZ1uZPDmj3ZnFnx3THoZLLys8BJadU/2ePnl3rN1aGiVVlbe3rN1qGu1IzJYj6kZlL0iZyFGHWYOczeS3nCs/Dz39j8elPoZfacRQgZgbLIZAHB4EEEpNTQ552LDjIgJNcDFgNxBBAx4gGZYbCh0Cr+gwLOaTlc1w+ZwDXg7DW12lHpW3lNyHy4AGO4pg83zYpno8DhlH7Ohsd7r98aDNEpvv8EzmrwRlGpvci6PixN++9Y9ffo0/vGPf+Cuu+7q8T6rVq2C2WwWb6mpqf4anqLNH+PODNl8ohJWx8CvInmb3enCJk/21iVZdAInd6lRwRgRHwqni4l9wqTiu6O8dC9e8ZNNNZBqoL2othW5FU3QagTMphUeCSEDMM4TlDoyqKCUJ1NKwc2nOUEQMDrJfcyOlg4+kKfklfe4JLMJYSYd7E4m9pwZCH7MkswmmIP03hqeJPEA76nKwTXuZozhRJn7uI1KVHbJ41AxU8qLARalB6U8+3fGC/15ecnjUJkcs36fna1cuRKCIPR669ikEwBKS0uxYMECXHvttbjjjjt63PaKFSvQ0NAg3oqKivq/R6SL8clmxIcb0WJzYsfpmkAPR7TjdA3qW+2IDjFgSkbPGXREPhZ4AqBfH5FOBgtjDN95Mmp4MIPI27xR8RAE4FBxA8q8UHfvLV8fKQMATM2IRESw9FOlCSHSMy5l8JlSxzzBGaX3+eFGe07uj5UOvMIiVyx5VH5QShAEsZn7YEr4TpSrJ5DnrRX4iuva0GR1wNChebpSDfVk/XgjU+qMmCml7EA7zwQ744VMKV42OVQmFyf6HZS67777cPz48V5vHZtulpaWYu7cuZg+fTreeOONXrdtNBoRHh7e6UYGT6MRcKkEMwv4CdxlYxOg1Ug/rZCc38JxiQCALSerBtWk1ZuOlzWhuK4NJr0Gs4ZT9ooSxIYZMSnNXYb5vYS+07467A5+Xu75HBBCSH/xTKkz1S0D+jta0WhBaYMFGgEY7wlwKZ03mp2fFAMs8jiBGyweSDoxiKBUrmf1PjUEPzuuwDeYvlLHPe/RYXGhiu87yY9XTYsNdS22AW/H4XShsKa10zaVKlNcgW/wgbzT1fJqqN/vT0NMTAxGjhzZ681kMgEASkpKMGfOHEyaNAmrV6+GRqPsD5+U8ebOG45VeG2ZycFwOF341lNStWgsncApxciEMGTGhMDmcIn9wgLt26PuQMHFw2MRZFDmih1qJLVAe0l9Gw4U1UMQ3IF2QggZiJhBNjvPKawH4M74CTHqvDw6aeKZUifKmuAcwBzX5nCJ2RxqyJQCgJGeYzaYTCn+WN44Xel4CV/eIBp38yDgSBUcs2CDDskRQQAGly2VX90Ch4shxKBFQrjJW8OTJN5TqriubVAtdxhjnXpKyYHPokSlpaWYM2cOUlNT8de//hVVVVUoLy9Hebl0ynrUZNqQaISZdKhqsmLv2bpADwe78mtR22JDZLAe04ZQ6Z5SCIKAhZ4T8q8PlwV4NG7feEoJL6XSPUW5zFMquv10DWqarQEeTfv7fWpGFOLClD1pIoT41mCanecUued42WkR3hySpGXGhMCkd5dWFdT0v+yFn/SGGttPopWOr5Z3YoDZZYwxVZXvAd5ZgY9nSo1SQXYZ0J7ZNJigFM+AHJUYDo3CK2tiQg0IM+rAmHv1vIGqbrahyeKAIADpMlnd3mdBqe+++w6nTp3Cxo0bkZKSgsTERPFG/M+g04gncesPlgR4NMBXnhO4y8YkUONphVnkKV3alFuJVltgS/hOlDcit6IJBq1GzBYkypAZE4KxyeFwuhi+kkAPM/6dRqV7hJDBGj+IoNQBT6ZUdqp6VprVagSMTBh4X6mDRfUA3BlXclilyht4RlhpgwUNbf1fMbm0wYImiwM6jYAhCu/zw3ljBb4T5epocs4N8wTyTg0iu+yo5zPNy3SVTBAEMZA3mGPGs6RSIoNg0sujSsRn0YDly5eDMdbtjQTGlROSAABfHiqD3TnwJWAHy+liYknVIjqBU5wxSeFIjQqCxe7C5tyqgI5l/YFSAMCcrFiYg5W9Mowa8e+0/3le50AprW/D/kJ36d4CKt0jhAzS2AE2O3c4XThU7H7MRBVlSgGD6yu1z1NBMCldPYE8c5AeSWZ3Vu9AMn94P6mhsaEw6NRxcXmwK/C12hxiJp8ayveA9mbngyl55IHm0SoJ5PEA+/FB9Mg7I/aTkk/AWB3fIgQAMGNoNGJCDahrtePHU9UBG8eu/BpUN9tgDtJj+tDogI2D+IYgCGKfsC8PBa6EjzGG9QfdwYorJyYFbBzEd64Y735ddxfUonQQq+EMFi8RnZIeiXiF9zsghPgeb3aeX92CJkvfs1hyK5rQZncizKjDMJn0EfGWMZ6g1NEBZErtK3QHpSarKCgFtPeVGkizc7WV7gGdV+Arruv/nCO3vAmMuRdriQk1+mCE0sMzwo6WNg4oMYUxJgaa1ZApBXQIsA9iNVEeaB4qo78DFJRSEZ1WI5aWBDKz4LMcd/ngZWPiFb/yhFot9mSwbDhegYbW/qeFe8P+wnoU17UhxKDFvJHUT0qJkiKCcEGGuyfdF4cC9532+QH3dxplfhJCvCEm1Igk3uy8HycmBzxlaBNSIxTfe+VcPIuivydy9a02sUxmksqyy3hA6Vhp/8tEj5epLyil02rEDKeDxfX9fjw/ZiNVdMxGJ4ZDqxFQ1WRFRWP/+39WNFpR22KDViOoZhGCMV5YTfRoifuxY5PlE8ijiIDK8IyRb4+Wo8028K7+A9Vqc4jZMz+fnOr35yf+MSYpHFnxYbA5XPjicGCCBesP8OBnAq26p2CLPd9pPCvO305WNOFgcQN0GkEMxhJCyGDxZue831Ff8JX3JqZGeH9AEjcyIRw6jYDqZiuKavveIJgfs8yYEESrJHuF4++TfQNYAGlfQS0AIFtl7zW+v/x90x8nytsbdqtFkEGL4Z6+UocGEMg7VuYOmA6NDZFNb6TB4hmMZQ0W1LbY+v14l6s9u2xMktmrY/MlCkqpzKS0SCRHBKHF5sTGE5V+f/5vj5ajxeZEWlQwpmaoK01aTQRBwDWTkwEAa/cV+/35HU4XvvQ0nl5MpXuKtmhsArQaAUdKGge1ustA8ff33JFxqknHJ4T43gWZ7izQbXl9b7fAM6XUtPIeF2TQYoInYLDjdE2fH7ffU7o3KU19c9IpnnLFkxXNqOvHyW9xXStKGyzQaQTV9S7L9rxP+CqX/SGuvKeSflLc+AH2yAPU108KAEKNOmR4VswbSAnf2dpWNFsdMOo0GOppmi4HFJRSGUEQxGypT/YV+f35P/GcwF0zKUU1K5yo1ZKJydAI7jK6M34OFmzLq0Z1sw1RIQbMHBbj1+cm/hUdasTFw92v8cd7/RsAdThdWOcpR/755BS/PjchRNnmZMUBAHbn1/ZpJduGNrtYhqbGTCnA3TsVALaf7nsgj2cJqa2fFOD++8lPWvf2I1tqjydLakyyGcEGnU/GJlU84Hu0pBFWR98rThhjOCGW76knwAIA41IiAEBchKE/1NZPimtfuKH/x+yIJ/g3KjFcVivcy2ekxGuu9Zw8bTlZhRI/NgcuqW/Dds/Vq6WTkv32vCQw4sJNuHhELABg3f4Svz73e7sKAbgDY9S3TPmun5oGwB1otzn8t7LotrxqVDVZERViwFzPCSQhhHjD0NgQpEQGweZ09SnzZ68nUJAWFay6MjRuuhiUqulTU2WH0yVml6kxKAW0Z+TxQFNf7ClwB7AuUGHFQ1pUMKJCDLA5Xf3KYimoaUWT1QGDViOr5tPewBduOFzS0O9m5+2ZUvIpQ/OGgfbIA4Ajnh5xcuonBVBQSpWGxIZi+pBouBjw4e5Cvz3vp/uLwRgwbUgUUqOC/fa8JHCumeQOgH6aUzKg5XMHoqyhDRtPVAAAfnEh9S1Tg3mj4hAbZkR1sw3fH6/w2/PyzM+rJiapZklsQoh/CIKA2Z4LO1tOVp33/nwV0DlZsT4dl5RNSouEQadBZZMVp6taznv/E+VNaLW5VyvkfW/UZqpnsZDd+f0ISnnuyx+rJoIgDKiv1K4z7sDyxNQI1c0XRiaEQacRUNtiQ2mDpc+Pa7Y6UFDj7g+ntpJH3gtqIM3OxSbnMuonBVBQSrV+caE7s+DDvUVwOH2fWeB0MXzkKa2hBufqcenoeISbdCipb8OWvPNPqr3hwz1FcDHgwswoDItT1x8xtdJrNbhuijsA+r6fAu21LTZsOOYOgF1L32mEEB/gJXybc6t6zTCwO13Y4AnILxib4JexSZFJrxX7JO3oQwkf7yeVnR6putUKOR5YOlLS0KcFkOpabMjzlIlOUWFQCmgv4cvpxyIEOz1BqWlD1HfMTHqtuErj4X40Oz/hCcgkhJtUl/3Jy/dOV7XAYu9fmWh7phQFpYgMzB8Tj6gQAyoarX5peL7pRCUKa1sRbtJh0Tj1TpjUxqTX4top7hP21T8V+Pz5HE4XPtjt7pXGA69EHW7wlPBty6tGYU3fV14aqPd3F8LmdGFcsll1vQ4IIf4xfWg09FoBhbWtYsZAd3bn16K+1Y6oEAMuUGmggJvRoYTvfHh20GQVNjnnUiKDkBBugsPF+tS8m5f5DYsLRVSIwdfDkyTe7Hx/H/twMcaw84z7uE0bEu2zcUkZb3ben75Sau0nBQBxYUZEhxjgdDHkljf1+XEl9W2ob7VDrxUwPF5e2Z8UlFIpo04r9pbyR2bB2z/lAwBuvCBNdU0R1W7Z9AwIArD1ZJXYhNVXNuVWobzRgqgQg6qvFqtRalQwZnkanr+/x7ffaTaHC//eUQAAuG1mhk+fixCiXqFGnZjJsjm35wuIXx9xrzY7f3S8rBrb+sIMz+ImO87U9No2oM3mxCbPRdmZw9W7IIogCJjK+0rl9z0opcbSPW58ihmC4A4AVDaevxztbE0ryhstMGg1YkBLbcYlRwDo3wp8ez29y8aqMCglCEKHZud9L+E74indGx4XBqNO65Ox+Yq6/3Kp3I0XuDMLNp+s8unqaCfKG7H9dA20GgG3zsjw2fMQaUqLDsa8kfEAgHe2F/j0uXig4OeTU2T3ZUwG7xee77QPdhf2abWqgfrqcBkqGq2IDTPi8nFJPnseQgg5X18pl4vh26NUuseNTzYj1KhDfau915O5H05UoMXmREpkECZ5yrHUijcs70uzc97kfKoKm5xzYSY9RnjaQ/SlhG9nh35SQQZ1zk07Zkr1pdm5y8Xw0yl3Ce4Mla6iPZBm50dl2uQcoKCUqmXEhGDeyDgwBry+5YzPnmf1jwUAgAVjEpAcEeSz5yHSddtFGQCAtfuL0dBm98lzHCqux7a8amg1Am6+MN0nz0Gk7dLR8UiPDkZdqx3ve8o4vY0xJmZ+3jotXXUNSwkh/jV3pLuv1E+nqlFU27WEb19hHaqarAgz6TBjqDpP3jrSaTXiinK9NYj//EApAPdCFYKgzn5SHM+U2l9Y1+sKtq02h7jcvJozpYD2vlK8L1lvdvB+UkPVWboHACPiw2DQatDQZsfZPrRYyK1oQk2LDUF6LSapNLuMZ0od6kcfLv75lFs/KYCCUqp3z9xhAIB1OcUorW/z+vZrmq349EAJAOCXnsAEUZ/pQ6ORFR+GVpsTH/qotOqVTacBAFdOSEJaNK3uqEY6rQa/ungoAOBf2870OrkeqH1n63CouAFGnYb6lhFCfG5EfBguGhYNu5PhpR/yuvz+y0Pu0r2fjYqnILnHgjHujLH/7irsdjGfhla7WA551cRkv45NikbEhSE2zIhWmxObeikT/fZoORwuhrSoYKREqvsiMw98bjpPX153Pyn1NjnnDDoNJnpWLdzWh4WPeJbUhUOiVPu9dmGmO4h5uKQBDa3nv6DvbnLuzqoaI7OV9wAKSqne5PRITBsSBbuT4c1t3s+WesNzYjg+xYzJ6eqMdBN3bfTtMzMBAG9sPYMWq3dLq/IqmvDNUfdy2PfMGerVbRN5uWZyMuLCjChrsOCznBKvb/+fm04BAK7OTlbdajCEkMB4aH4WAGDd/uJOvRmPlzXivV1nAQCLJyQGZGxSdOXEJESHGFBS3ybODTr6+kgZ7E6GkQlhGBFPq/RqNAKWTnIH5z7e23OW8Yd73L/7+eQU1WeXzRsVD4NWg5MVzThZ0XMj6oKaVlQ0WmHQalSb8cNdMsqd9fn98fMvsPWjJyg1U6WlewCQYDZhWFwoXAzY3ofVRPMqm1HVZIVRp8EYGfbhoqAUwb2ebKn3dxeiptnqte2WN1iwxrPi2m/mDVf9HzC1u3pSMjKig1HdbMNqT/mTt7yy2Z0ltWBMAobTBFPVjDot7pjlDoC+tuU0nL00uu2vXWdqsCm3CjqNgLtmU/CTEOIf2WmR+NmoOLgY8LfvTwIArA4nHvjwAOxOhktHx2NuVlyARykdJr0WN09zl/H/a1vX+QYv3btyIvUE5K6d7F4peVNuVbfNu8/WtGDnmVoIAnCNZ6EkNTMH6XHxCHfA5AtPtmJ3xH5SaREw6dXZT4r7mScoteN0Ta8Xp60OJ3Z5Viu8SMVBKaA9KLft1PmDUjz7c9qQaFm+1ygoRTBzWAzGp5hhsbvwqufk3hv+vjEPVocLU9IjcclImiypnV6rwQOXjgAAvL71DOpbbV7Z7umqZqw/6J5g8gArUbdfXJgOc5AeZ6pbsG5/sVe2yRjDn785AQC44YJUZMSEeGW7hBDSFw9e6s6W+vJQGVasO4SHPz6EE+VNiA4xYNXScXTh7xw3T0uHQavBgaJ67Dvb3vfncHEDdua7AwWLx1NQihsWF4op6ZFwuhjW7u+aZfzxXvff0lnDY6k/rMfl493ZiV8cKu2xefcXh9zz0xkq7ifFDY0NRXp0MGxOF7bl9RxkySmsR5vdiZhQA7JUfqGZryr9Yy/Hi9t0wl0WOScr1qdj8hUKShEIgoAHPcGCNdsLcKqy5zTUvsqvbhHTfB9dOJImSwSAewI4MiEMTRYHXvNCc33GGFauPwqni2HeyDiMS5FfDTXxvlCjDvfOdWcyPftNLhotg2+uv+FYBXIK6xGk1+LXlwwf9PYI+eMf/4gZM2YgODgYERERfXrM8uXLIQhCp9u0adN8O1AiCaOTwnGtJ0Pl/d1F4sWYPy0dhxgqJe4iNsyIqzyZUC9vzIPF7kRpfRtuf2cPGAMuGxOP1CjqP9nRdVPc2VIf7y3qFGRxuhg+2VfsuQ9lSXG8j9uZqhacKO967nSyogk/naqBRgCu9RxbNRMEQVyN+4fjFT3eT1x1b2gMNBp1nz9eOCQaOo2AwtpWFPbSIL7Z6sDes+7sMrlmzVJQigAA5mTF4dLR8XC4GJ5cf7RPy3X25tmvT8DpYpibFav6FTpIO41GwMOXua/2rtme3+sXbF98c6Qc2/KqYdBq8PsrRntjiEQhls/IxJDYEFQ3W/H377s2B+4Pm8OF577NBQDcNjMDceEmbwyRqJzNZsO1116Lu+++u1+PW7BgAcrKysTbV1995aMREqn58zXj8eatU3DHzExMTo/Er+cNx2Wept6kq9tnZUIQ3CVp857fglve2oXKJiuy4sPw12snBHp4krNofCKCDVqcqW7BnoL27LKtJ6tQ3mhBZLAel46OD+AIpSXMpMecEe6sFJ4R1dFqTwuTy2j1cdE8TwnfptxKuHporyD2kxqu7tI9wH2RdZKnJ/O2Uz03iP/pVDXsToaM6GDZZvJTUIqInrhiNAw6DX46VYOvj3RtDNlX6w+W4puj5dBqBDyyYKQXR0iU4JKRcZg2JAoWuwsPfXKwxz9K59Nqc+APXxwDANw1e4hsv4SJbxh0GjzhCVQONgP07z/kIa+yGZHBevyKekkRL3nqqafwwAMPYNy4cf16nNFoREJCgniLiqILP2qh1Qi4dHQ8/r8rRmPt3TPELHfSvZEJ4Xj5xklICDehpL4Np6taEBNqxFvLpyDMpA/08CQn1KjDFZ6StPvf349jpY04UFSPhz4+CABYkp0Mo05+vWp86YoJ7my8Lw+VdbqgX99qw6c57uyy5TMyAjE0SZqaEYUwow7VzTYcKK7v8vv86hYcLHL/XO39pLhZw85fwrc5l5fuyTNLCqCgFOkgNSoYd3tOuJ7+37EBNT2vaLTg958dAQDcN3cYRiXKr/s/8S1BEPCXayYg2KDF7vxarN5eMKDtPP/dSZQ2WJASGYS751AvKdLVnKw4/GyUOwP04U8OweboujT4+ew7W4dXNrtX3Pvj1eMQTicyJMA2b96MuLg4jBgxAnfeeScqK8+/khEhanX5+ERsemgOHpo/AtOHRGP18qlIiaSyvZ48ND8LI+JDUdFoxXWv78ANb+xATYsNoxPDcR/17exi3sg4BOm1KKhpFRfdAdwrFVrsLoxODMcFmXThgDPoNLjY0/Pou6NdS/j+uekUXMx9XCm7zI1njG0/XdPt4j2MMWzxNDmfLdN+UgAFpcg57p4zFENiQlDeaMG9/90Pu7PvJ3GMMTy69hAa2uwYl2zGfZfQHy/SvbToYDy+aBQA4C/fnOi0xHVffH6gBG/96F5R56krxyDIQFfuSPeeXDwa4SYdcgrrxcy6vmqxOvC7jw7AxYCrs5OxaBwtuU4Ca+HChXjvvfewceNGPP/889izZw8uueQSWK09X0SyWq1obGzsdCNETYIMWtx3yXC8//+mUe/J84gLN+Hju2bgwswoNFsdsNhdmJMVi4/umo5o6l3WRYhRhycWu7Oy//pdLr4/VoGNJyrwpmfVx+UXZVBf3XNc7plLvbO9AEW17W08Cmta8WmOu8n+/fOodyc3PiUC4SYdGtrs2HG6psvv8yqbUdpggVGnwfQh8m2oT0Ep0olJr8Xrt0xGiEGLnWdq8aevjvfpcYwxPPPlcWzOrYJBp8EL102AXktvL9Kzmy5Mw6zhMbA6XPjlmt0oa2jr0+MOFzfgkU8OAXAHUeeNov4GpGepUcF46YZsCALwn51n8fHeoj49zupw4tfv56CgphWJZhNWXjnGxyMlSrBy5coujcjPve3du3fA27/++utx+eWXY+zYsVi8eDG+/vprnDx5El9++WWPj1m1ahXMZrN4S02lhruEkJ6Zg/T49+0X4O45Q/HAz0bgX7dOQahRF+hhSdaNF6ThlmnpYAz4f//Zi9vW7EV1sxUZ0cG4cgKt8HiuBWMScEFmFNrsTjzx+RGx7PGVzafgdDHMHhGLiakRgR2khGg1ApZkJwMAXvrhZJe+z3xhselDo2HSy/ciPUUNSBfD48PwwvUTAbib9P39h7xe+/7wpdJ55sozS8ZiuMqX8CTnJwgCnr92AtKjg1FU24ZfvLkLlY2WXh9ztLQBd/57L6wO95W7h+Zn+Wm0RM7mjozDb+e5e6/832dH8PmBrstdd2R1OHHve/vxw4lKGHUavHRDNsxBVLZHzu++++7D8ePHe72NHTvWa8+XmJiI9PR05OX13Mx/xYoVaGhoEG9FRX0LzBJC1Muo0+LRBSPxm58Nh44uMp/XE4tH48LMKLgYYNBq8KvZQ7D+/pmyDhL4ikYj4E9Xj4NBq8Gm3Cq8v7sIXxwqxdr97h5cv6YsqS7umTMMBp0GewrqsK1Db6lTlc14x9MGRe69yyjsTbp12ZgEPHjpCLyw4SRe2HASx0ob8dfrJnS5UlLTbMWz35zAR3vdXyR/WDJWXFKWkPOJCzfhv3dOw3Wv7UB+dQuue30HnlkyrtsVNz7NKcZjaw/D6nBhaGwIXrohG1qVLxVL+u7+S4bhZEUTvjxcht98cAAnypvw0PysLu+h/OoW/P6zI/jxVDWMOg3eWjaV+kGQPouJiUFMjP+as9bU1KCoqAiJiT2XlhqNRhiNVHZDCCG+otdq8K9lU/DFoTLMHBaD1CjqW9abYXGhuGfuULz4fR4e//Sw+POLhkVjsme1OdIuwWzCzRem4+2f8vH8hpOYNTwGgiDgmS+PweFimDcyTtZNzgFAYOfmgElIY2MjzGYzGhoaEB5ODbMD4YPdhXji86OwOV2IDjHg8vGJmJsVhyarA3kVTVjzUwGarA4A7t4tv7woM8AjJnJUWNOK69/YgbIGd6bU/NHxmJMVh+TIIJyqbMZXh8uw76x7eeLZI2Lx0g0TERFsCOSQiQw5XQzPfZuL17a4m5GmRgXh6onJmJwRhdoWK/afrcf7uwvhcDEYde4J5qzh8m0aSfrH33OOwsJC1NbWYv369Xjuueewbds2AMCwYcMQGhoKABg5ciRWrVqFq6++Gs3NzVi5ciWuueYaJCYmoqCgAI8//jgKCwtx/PhxhIX1LUOZ5laEEEICzepw4ppXt+NoaSOy4sMwNSMKv/nZcMRQ77JuVTVZcfFfNqHN7sSvLxmGMJMef/zqOPRaAd89MBuZEl2FvK9zDgpKkfPaX1iH+97bj9KG7kurxiSF44krRuNCGTdXI4HX0GrH374/if/sPNvt6hIawb2i429+NoIypMigfH6gBP/fp0fEgPq55mTF4vFFozCCypBVxd9zjuXLl+Odd97p8vNNmzZhzpw5ANxlzqtXr8by5cvR1taGJUuWICcnB/X19UhMTMTcuXPxhz/8oV99omhuRQghRAocThdsTheCDVS81Rervj6O17ec6fSzX80eghULRwVoROdHQSniVXanCz/mVWP9wVIcKq5HdKgRiWYTZo+IxZKJydBQkIB4SW55E97fXYizNS0ormtDVIgBC8YmYOHYRCSYTYEeHlGINpsT3x0rx2c5JSittyA2zIi4cCOumZSCi4b5r/yKSIda5hxq2U9CCCFESVqsDvz9hzycrmpGSb0F0SEGvHrzJISZpNv3lIJShBBCCCF9pJY5h1r2kxBCCCGB1dc5h0+XU7jyyiuRlpYGk8mExMRE3HLLLSgtLfXlUxJCCCGEEEIIIYQQGfBpUGru3Ln46KOPkJubi7Vr1+L06dP4+c9/7sunJIQQQgghhBBCCCEy4NOuYg888ID47/T0dDz22GNYsmQJ7HY79Hrp1j4SQgghhBBCCCGEEN/yaaZUR7W1tXjvvfcwY8YMCkgRQgghhBBCCCGEqJzPg1KPPvooQkJCEB0djcLCQnz++ec93tdqtaKxsbHTjRBCCCGEEEIIIYQoT7+DUitXroQgCL3e9u7dK97/4YcfRk5ODr777jtotVrceuut6GnBv1WrVsFsNou31NTUge8ZIYQQQgghhBBCCJEsgfUUIepBdXU1qqure71PRkYGTCZTl58XFxcjNTUV27dvx/Tp07v83mq1wmq1iv9vbGxEamoqLVtMCCGEEJ/q67LFcqeW/SSEEEJIYPV1ztHvRucxMTGIiYkZ0KB4/Ktj4Kkjo9EIo9E4oG0TQgghhBBCCCGEEPnw2ep7u3fvxu7duzFz5kxERkbizJkzeOKJJzB06NBus6S6w4NY1FuKEEIIIb7E5xr9TCCXHZpbEUIIIcQf+jq38llQKigoCOvWrcOTTz6JlpYWJCYmYsGCBfjggw/6nA3V1NQEANRbihBCCCF+0dTUBLPZHOhh+AzNrQghhBDiT+ebW/W7p5Q/uVwulJaWIiwsDIIg+OQ5eN+qoqIi1fRWUOM+A+rcbzXuM6DO/aZ9Vsc+A+rcb3/sM2MMTU1NSEpKgkbj88WJA4bmVr6hxn0G1LnfatxnQJ37rcZ9BtS537TPgZ1b+SxTyhs0Gg1SUlL88lzh4eGqeQNyatxnQJ37rcZ9BtS537TP6qHG/fb1Pis5Q4qjuZVvqXGfAXXutxr3GVDnfqtxnwF17jfts/f1ZW6l3EuBhBBCCCGEEEIIIUSyKChFCCGEEEIIIYQQQvxO9UEpo9GIJ598ss/N15VAjfsMqHO/1bjPgDr3m/ZZPdS432rcZzlT4+ulxn0G1LnfatxnQJ37rcZ9BtS537TPgSXpRueEEEIIIYQQQgghRJlUnylFCCGEEEIIIYQQQvyPglKEEEIIIYQQQgghxO8oKEUIIYQQQgghhBBC/I6CUoQQQgghhBBCCCHE71QRlHrllVeQmZkJk8mEyZMnY9u2bb3ef8uWLZg8eTJMJhOGDBmC1157zU8jHbxVq1Zh6tSpCAsLQ1xcHJYsWYLc3NxeH7N582YIgtDlduLECT+NevBWrlzZZfwJCQm9PkbOrzMAZGRkdPu63Xvvvd3eX66v89atW7F48WIkJSVBEAR89tlnnX7PGMPKlSuRlJSEoKAgzJkzB0ePHj3vdteuXYvRo0fDaDRi9OjR+PTTT320B/3X2z7b7XY8+uijGDduHEJCQpCUlIRbb70VpaWlvW5zzZo13b7+FovFx3vTN+d7nZcvX95l7NOmTTvvdqX8OgPn3+/uXjNBEPDcc8/1uE2pv9Z9+TulxM+10tDciuZW3ZHz6wzQ3IpT4newGudWgDrnVzS3kt/cSvFBqQ8//BC//e1v8X//93/IycnBrFmzsHDhQhQWFnZ7//z8fCxatAizZs1CTk4OHn/8cfz617/G2rVr/TzygdmyZQvuvfde7Ny5Exs2bIDD4cD8+fPR0tJy3sfm5uairKxMvA0fPtwPI/aeMWPGdBr/4cOHe7yv3F9nANizZ0+n/d2wYQMA4Nprr+31cXJ7nVtaWjBhwgS8/PLL3f7+L3/5C1544QW8/PLL2LNnDxISEnDppZeiqampx23u2LED119/PW655RYcPHgQt9xyC6677jrs2rXLV7vRL73tc2trK/bv34/f//732L9/P9atW4eTJ0/iyiuvPO92w8PDO732ZWVlMJlMvtiFfjvf6wwACxYs6DT2r776qtdtSv11Bs6/3+e+Xm+//TYEQcA111zT63al/Fr35e+UEj/XSkJzK5pbdUfurzNAcytOid/BapxbAeqcX9HcSoZzK6ZwF1xwAbvrrrs6/WzkyJHsscce6/b+jzzyCBs5cmSnn/3qV79i06ZN89kYfamyspIBYFu2bOnxPps2bWIAWF1dnf8G5mVPPvkkmzBhQp/vr7TXmTHGfvOb37ChQ4cyl8vV7e+V8DoDYJ9++qn4f5fLxRISEtif//xn8WcWi4WZzWb22muv9bid6667ji1YsKDTzy677DJ2ww03eH3Mg3XuPndn9+7dDAA7e/Zsj/dZvXo1M5vN3h2cj3S3z8uWLWNXXXVVv7Yjp9eZsb691ldddRW75JJLer2PnF5rxrr+nVLD51ruaG5Fc6vuKO11ZozmVpzSvoPVOLdiTJ3zK5pbyWNupehMKZvNhn379mH+/Pmdfj5//nxs376928fs2LGjy/0vu+wy7N27F3a73Wdj9ZWGhgYAQFRU1Hnvm52djcTERMybNw+bNm3y9dC8Li8vD0lJScjMzMQNN9yAM2fO9Hhfpb3ONpsN7777Lm677TYIgtDrfeX+OneUn5+P8vLyTq+l0WjE7Nmze/yMAz2//r09RsoaGhogCAIiIiJ6vV9zczPS09ORkpKCK664Ajk5Of4ZoJds3rwZcXFxGDFiBO68805UVlb2en+lvc4VFRX48ssvcfvtt5/3vnJ6rc/9O0Wfa2mjuRXNrXqitNeZ5lbq/g5Wy9wKUPf8iuZW0vhcKzooVV1dDafTifj4+E4/j4+PR3l5ebePKS8v7/b+DocD1dXVPhurLzDG8OCDD2LmzJkYO3Zsj/dLTEzEG2+8gbVr12LdunXIysrCvHnzsHXrVj+OdnAuvPBC/Pvf/8a3336LN998E+Xl5ZgxYwZqamq6vb+SXmcA+Oyzz1BfX4/ly5f3eB8lvM7n4p/j/nzG+eP6+xipslgseOyxx/CLX/wC4eHhPd5v5MiRWLNmDdavX4/3338fJpMJF110EfLy8vw42oFbuHAh3nvvPWzcuBHPP/889uzZg0suuQRWq7XHxyjpdQaAd955B2FhYVi6dGmv95PTa93d3yn6XEsbza1obkVzq3ZKeJ3PRd/B6plbATS/ormVND7XOq9uTaLOvbrBGOv1ikd39+/u51J333334dChQ/jxxx97vV9WVhaysrLE/0+fPh1FRUX461//iosvvtjXw/SKhQsXiv8eN24cpk+fjqFDh+Kdd97Bgw8+2O1jlPI6A8Bbb72FhQsXIikpqcf7KOF17kl/P+MDfYzU2O123HDDDXC5XHjllVd6ve+0adM6Na686KKLMGnSJPzjH//A3//+d18PddCuv/568d9jx47FlClTkJ6eji+//LLXiYQSXmfu7bffxk033XTe/gVyeq17+zul1s+1XNDciuZW3VHK6wzQ3Eqt38FqmlsBNL+iuZU0PteKzpSKiYmBVqvtEsmrrKzsEvHjEhISur2/TqdDdHS0z8bqbffffz/Wr1+PTZs2ISUlpd+PnzZtmiQjv30VEhKCcePG9bgPSnmdAeDs2bP4/vvvcccdd/T7sXJ/nfkqQP35jPPH9fcxUmO323HdddchPz8fGzZs6PVKXnc0Gg2mTp0q29c/MTER6enpvY5fCa8zt23bNuTm5g7ocy7V17qnv1Nq/lzLAc2taG5Fc6veyf11VvN3sNrnVoC65lc0t5LO51rRQSmDwYDJkyeLK2dwGzZswIwZM7p9zPTp07vc/7vvvsOUKVOg1+t9NlZvYYzhvvvuw7p167Bx40ZkZmYOaDs5OTlITEz08uj8x2q14vjx4z3ug9xf545Wr16NuLg4XH755f1+rNxf58zMTCQkJHR6LW02G7Zs2dLjZxzo+fXv7TFSwidNeXl5+P777wc02WeM4cCBA7J9/WtqalBUVNTr+OX+Onf01ltvYfLkyZgwYUK/Hyu11/p8f6fU+rmWC5pb0dyK5la9k/vrrNbvYJpbualpfkVzKwl9rr3aNl2CPvjgA6bX69lbb73Fjh07xn7729+ykJAQVlBQwBhj7LHHHmO33HKLeP8zZ86w4OBg9sADD7Bjx46xt956i+n1evbJJ58Eahf65e6772Zms5lt3ryZlZWVibfW1lbxPufu89/+9jf26aefspMnT7IjR46wxx57jAFga9euDcQuDMjvfvc7tnnzZnbmzBm2c+dOdsUVV7CwsDDFvs6c0+lkaWlp7NFHH+3yO6W8zk1NTSwnJ4fl5OQwAOyFF15gOTk54moof/7zn5nZbGbr1q1jhw8fZjfeeCNLTExkjY2N4jZuueWWTqtC/fTTT0yr1bI///nP7Pjx4+zPf/4z0+l0bOfOnX7fv+70ts92u51deeWVLCUlhR04cKDT59xqtYrbOHefV65cyb755ht2+vRplpOTw375y18ynU7Hdu3aFYhd7KK3fW5qamK/+93v2Pbt21l+fj7btGkTmz59OktOTpb168zY+d/fjDHW0NDAgoOD2auvvtrtNuT2Wvfl75QSP9dKQnMrmlsxprzXmaO5lTK/g9U4t2JMnfMrmlvJb26l+KAUY4z985//ZOnp6cxgMLBJkyZ1WsJ32bJlbPbs2Z3uv3nzZpadnc0MBgPLyMjo8c0qRQC6va1evVq8z7n7/Oyzz7KhQ4cyk8nEIiMj2cyZM9mXX37p/8EPwvXXX88SExOZXq9nSUlJbOnSpezo0aPi75X2OnPffvstA8Byc3O7/E4przNfbvnc27Jlyxhj7iVOn3zySZaQkMCMRiO7+OKL2eHDhzttY/bs2eL9uY8//phlZWUxvV7PRo4cKakJZG/7nJ+f3+PnfNOmTeI2zt3n3/72tywtLY0ZDAYWGxvL5s+fz7Zv3+7/netBb/vc2trK5s+fz2JjY5ler2dpaWls2bJlrLCwsNM25PY6M3b+9zdjjL3++ussKCiI1dfXd7sNub3Wffk7pcTPtdLQ3IrmVkp7nTmaWynzO1iNcyvG1Dm/ormV/OZWgmcnCCGEEEIIIYQQQgjxG0X3lCKEEEIIIYQQQggh0kRBKUIIIYQQQgghhBDidxSUIoQQQgghhBBCCCF+R0EpQgghhBBCCCGEEOJ3FJQihBBCCCGEEEIIIX5HQSlCCCGEEEIIIYQQ4ncUlCKEEEIIIYQQQgghfkdBKUKI7KxcuRITJ04M9DAIIYQQQhSD5leEkEAQGGMs0IMghBBOEIRef79s2TK8/PLLsFqtiI6O9tOoCCGEEELki+ZXhBCpoqAUIURSysvLxX9/+OGHeOKJJ5Cbmyv+LCgoCGazORBDI4QQQgiRJZpfEUKkisr3CCGSkpCQIN7MZjMEQejys3PTy5cvX44lS5bgT3/6E+Lj4xEREYGnnnoKDocDDz/8MKKiopCSkoK3336703OVlJTg+uuvR2RkJKKjo3HVVVehoKDAvztMCCGEEOJjNL8ihEgVBaUIIYqwceNGlJaWYuvWrXjhhRewcuVKXHHFFYiMjMSuXbtw11134a677kJRUREAoLW1FXPnzkVoaCi2bt2KH3/8EaGhoViwYAFsNluA94YQQgghJPBofkUI8TUKShFCFCEqKgp///vfkZWVhdtuuw1ZWVlobW3F448/juHDh2PFihUwGAz46aefAAAffPABNBoN/vWvf2HcuHEYNWoUVq9ejcLCQmzevDmwO0MIIYQQIgE0vyKE+Jou0AMghBBvGDNmDDSa9jh7fHw8xo4dK/5fq9UiOjoalZWVAIB9+/bh1KlTCAsL67Qdi8WC06dP+2fQhBBCCCESRvMrQoivUVCKEKIIer2+0/8FQej2Zy6XCwDgcrkwefJkvPfee122FRsb67uBEkIIIYTIBM2vCCG+RkEpQogqTZo0CR9++CHi4uIQHh4e6OEQQgghhMgeza8IIf1FPaUIIap00003ISYmBldddRW2bduG/Px8bNmyBb/5zW9QXFwc6OERQgghhMgOza8IIf1FQSlCiCoFBwdj69atSEtLw9KlSzFq1CjcdtttaGtroyt7hBBCCCEDQPMrQkh/CYwxFuhBEEIIIYQQQgghhBB1oUwpQgghhBBCCCGEEOJ3FJQihBBCCCGEEEIIIX5HQSlCCCGEEEIIIYQQ4ncUlCKEEEIIIYQQQgghfkdBKUIIIYQQQgghhBDidxSUIoQQQgghhBBCCCF+R0EpQgghhBBCCCGEEOJ3FJQihBBCCCGEEEIIIX5HQSlCCCGEEEIIIYQQ4ncUlCKEEEIIIYQQQgghfkdBKUIIIYQQQgghhBDidxSUIoQQQgghhBBCCCF+R0EpQgghhBBCCCGEEOJ3FJQihBBCCCGEEEIIIX5HQSlCCCGEEEIIIYQQ4ncUlCKEEEIIIYQQQgghfkdBKUIIIYQQQgghhBDidxSUIoQQQgghhBBCCCF+R0EpQgghhBBCCCGEEOJ3FJQihBCV+N///oeRI0eiubm534999tlnMX/+fB+MihBCCCGEEKJWFJQiJADWrFkDQRB6vG3evDnQQ+yT7du3Y+XKlaivr/f6NvgxKigoGNQY++vqq69GUFBQr/t00003Qa/Xo6Kios/bDdT+dPThhx8iISEBoaGh/X7sBRdcgA0bNuDMmTM+GBkhhBAibb6aH/RGCnOHwQrEcevo6aefxujRo+Fyufr92LfeegvJycloaWnx+rgIIe0oKEVIAK1evRo7duzocps0aVKgh9Yn27dvx1NPPTXooFR327j88suxY8cOJCYmDm6Q/XT77bfDYrHgv//9b7e/b2howKeffoorrrgC8fHxfh3bYDgcDnz11VdYsmTJgB4/a9YsREVF4bPPPvPquAghhBA5CMT8IFBzIW8K5LyqtLQUf/nLX/D0009Do+n/ae+yZcsQEhKCv/zlL14dFyGkMwpKERJAY8eOxbRp07rcwsPDAz20gIuNjcW0adNgNBr9+rwLFy5EUlIS3n777W5///7776OtrQ233367X8c1WFu3bkVdXR2uvPLKAT1ep9Ph8ssvx+eff+7lkRFCCCHS58/5QWtrK4DAzYW8yd/zKn7sAOCll15CREQEli5dOqBt6XQ6/OpXv8JLL73UabuEEO+ioBQhEmWxWJCdnY1hw4ahoaFB/Hl5eTkSEhIwZ84cOJ1OAMDKlSshCAJycnKwdOlShIeHw2w24+abb0ZVVVWn7ebl5eEXv/gF4uLiYDQaMWrUKPzzn//sdgwnTpzAjTfeiPj4eBiNRqSlpeHWW2+F1WrFypUr8fDDDwMAMjMzO5Uenjp1Cr/85S8xfPhwBAcHIzk5GYsXL8bhw4c7bb+3bfSUsv7jjz9i3rx5CAsLQ3BwMGbMmIEvv/yyy3YFQcDRo0dx4403wmw2Iz4+HrfddlunY9kdrVaLZcuWYd++fV3GC7iz2xITE7Fw4UIA6PO+dmf58uXIyMjo8nM+/nP157U71+eff45x48ZhyJAhXX63ePFiTJkyBW+++SYmTJiAoKAgpKam4sknn+yU7n7VVVfhp59+Qk1NTZ+ekxBCCFEKX80P+N/8/fv34+c//zkiIyMxdOhQAN2X7/V3u32ZC/U23+toIPMQX86rejt2NpsNb731Fn7xi190yZLq67wHcJcWNjY24oMPPuh1PwkhA0dBKUICyOl0wuFwdLrxQJPJZMJHH32EyspK3HbbbQAAl8uFm266CYwxvP/++9BqtZ22d/XVV2PYsGH45JNPsHLlSnz22We47LLLYLfbAQDHjh3D1KlTceTIETz//PP44osvcPnll+PXv/41nnrqqU7bOnjwIKZOnYqdO3fi6aefxtdff41Vq1bBarXCZrPhjjvuwP333w8AWLduXafSw9LSUkRHR+PPf/4zvvnmG/zzn/+ETqfDhRdeiNzcXPE5ettGd7Zs2YJLLrkEDQ0NeOutt/D+++8jLCwMixcvxocfftjl/tdccw1GjBiBtWvX4rHHHsN///tfPPDAA+d9XW677TYIgtDlqt6xY8ewe/duLFu2TDz2fd3XwerPa9ed9evX46qrrur2d/v27cOJEyfwt7/9DQ8//DDWr1+PmTNn4umnn+50DC677DLodDp88cUXXtsvQgghRC58OT9YunQphg0bho8//hivvfZaj2Po73bPNxc633yv4z4OdB7i63lVd8du165dqKmpwdy5c7vcv6/zHgBISEjAyJEju1wAJYR4ESOE+N3q1asZgG5vWq22030//PBDBoC9+OKL7IknnmAajYZ99913ne7z5JNPMgDsgQce6PTz9957jwFg7777LmOMscsuu4ylpKSwhoaGTve77777mMlkYrW1teLPLrnkEhYREcEqKyt73I/nnnuOAWD5+fm97q/D4WA2m40NHz68yxh72gY/Rh1/Pm3aNBYXF8eampo6bXvs2LEsJSWFuVyuTsfjL3/5S6dt3nPPPcxkMon3683s2bNZTEwMs9ls4s9+97vfMQDs5MmT/d7X7vZn2bJlLD09vcs2+Pg76s9rd64DBw4wAGzPnj1dfldcXMwAsCFDhrD6+nrx5zabjSUkJLArrrii0/0XLVrErr766h6fixBCCFEyb88P+N/8J554ostjups79He755sL9WW+x9jg5iGMef+4ddzH7o7ds88+ywCw8vLyTj/v77yHMcZuuukmFh8f3+v+EUIGjjKlCAmgf//739izZ0+n265duzrd57rrrsPdd9+Nhx9+GM888wwef/xxXHrppd1u76abburyWJ1Oh02bNsFiseCHH37A1VdfjeDg4E7ZWYsWLYLFYsHOnTsBuOvxt2zZguuuuw6xsbH93i+Hw4E//elPGD16NAwGA3Q6HQwGA/Ly8nD8+PF+bw8AWlpasGvXLvz85z/vtHqcVqvFLbfcguLi4i5X0M7tnzR+/HhYLBZUVlae9/luv/12VFdXY/369eI+vfvuu5g1axaGDx/u0309V39eu+5s2rQJoaGhmDx5cpff7dmzB4A7Bd5sNos/1+v1GDZsGKqrqzvdf+7cudi0aZNX9osQQgiRG1/ND6655po+PX9/t9vbXKiv873BzkMA386rujt2paWlEAQBMTExnX7e33kPAMTFxaGyshIOh6PXfSSEDAwFpQgJoFGjRmHKlCmdbt0FDm677TbY7XbodDr8+te/7nF7CQkJnf6v0+kQHR2Nmpoa1NTUwOFw4B//+Af0en2n26JFiwBA/ENcV1cHp9OJlJSUAe3Xgw8+iN///vdYsmQJ/ve//2HXrl3Ys2cPJkyYgLa2tgFts66uDoyxblegSUpKAoAuvY6io6M7/Z83Cu3LGH7+85/DbDZj9erVAICvvvoKFRUVXRpx+mJfz9Wf1647U6dORXNzc7dp73v37oVer8e1117b5XelpaVITU3t9LM9e/Zg6tSpg9wjQogUbN26FYsXL0ZSUhIEQfDL6polJSW4+eabER0djeDgYEycOBH79u0b8PYyMjLEfoT89thjj3lxxF398Y9/xIwZMxAcHIyIiAifPheRHl/ND/q6wl5/t9vbXKiv873BzkMA386rujt2bW1t0Ov1XVpd9HfeA7hbajDGYLFYet1HQsjA6AI9AEJI71paWnDLLbdgxIgRqKiowB133NHjCmjl5eVITk4W/+9wOFBTU4Po6GhERkaKWUX33ntvt4/PzMwEAERFRUGr1aK4uHhAY3733Xdx66234k9/+lOnn1dXVw94Ah8ZGQmNRoOysrIuvystLQWALlfDBiMoKAg33ngj3nzzTZSVleHtt99GWFhYl0nMYPbVZDJ1aSLKH9tRf1677kyfPh1xcXH4/PPPMXLkyE6/27t3L2JiYmAymTr9fNeuXThz5gx+//vfiz+z2Wz45ptvuuwrIUSeWlpaMGHCBPzyl7/sc5bGYNTV1eGiiy7C3Llz8fXXXyMuLg6nT5/u9bsyIyMDa9aswZw5c3q8z9NPP40777xT/H/HbFpfsNlsuPbaazF9+nS89dZbPn0uIj2+mh90t8BJd7w5x+rrfG+w8xDAt/Oq7o5dTEwMbDYbWlpaEBISIv68P/Merra2Fkaj0effLYSoFWVKESJxd911FwoLC7Fu3Tq89dZbWL9+Pf72t791e9/33nuv0/8/+ugjOBwOzJkzB8HBwZg7dy5ycnIwfvz4LhlaU6ZMEa+mBQUFYfbs2fj44497vfLVU+aRIAhdli/+8ssvUVJS0udtnCskJAQXXngh1q1b1+m+LpcL7777LlJSUjBixIhet9Fft99+O5xOJ5577jl89dVXuOGGGxAcHNzpPv3Z13NlZGSgsrISFRUV4s9sNhu+/fbbTvfrz2vXHY1GgyuuuKLbLIi9e/eiqqoK9fX14s+cTiceffRRZGRk4Be/+IX4840bN6KxsbFLKQAhRJ4WLlyIZ555psfl0m02Gx555BEkJyeL38GbN28e8PM9++yzSE1NxerVq3HBBRcgIyMD8+bNE1fLGqiwsDAkJCSIt3NPHI8dO4ZFixYhNDQU8fHxuOWWW86b1dGbp556Cg888ADGjRs3qHET+fL1/KA33txuX+d7g52HcP48bvwi3OnTpzv9vD/zHu7MmTMYPXp0v56fENJ3lClFSAAdOXKk2/r0oUOHIjY2Fv/617/w7rvvYvXq1RgzZgzGjBmD++67D48++iguuugiXHDBBZ0et27dOuh0Olx66aU4evQofv/732PChAm47rrrAAAvvfQSZs6ciVmzZuHuu+9GRkYGmpqacOrUKfzvf//Dxo0bxW298MILmDlzJi688EI89thjGDZsGCoqKrB+/Xq8/vrrCAsLEyfkL730EpYtWwa9Xo+srCxcccUVWLNmDUaOHInx48dj3759eO6557pND+9pG91ZtWoVLr30UsydOxcPPfQQDAYDXnnlFRw5cgTvv/9+n68y9tWUKVMwfvx4vPjii2CMdUkxB9CvfT3X9ddfjyeeeAI33HADHn74YVgsFvz9738XV2DsqD+vXXeWLFmC1atXo7y8XCzzzM/PR01NDdLS0nDttdfid7/7nTiGffv2YfPmzTAYDOI2Pv/8c0yePLnb1HZCiPL88pe/REFBAT744AMkJSXh008/xYIFC3D48OFOPWD6av369bjssstw7bXXYsuWLUhOTsY999zTKctpIJ599ln84Q9/QGpqKq699lo8/PDD4ndXWVkZZs+ejTvvvBMvvPAC2tra8Oijj+K666477/cmIT3x9fygN97ebl/me8Dg5yGAf48bz67cuXMnxo8fD6D/8x7AffFz9+7d3Y6VEOIlAW2zTohK9bb6HgD25ptvskOHDrGgoCC2bNmyTo+1WCxs8uTJLCMjg9XV1THG2lcf2bdvH1u8eDELDQ1lYWFh7MYbb2QVFRWdHp+fn89uu+02lpyczPR6PYuNjWUzZsxgzzzzTJdxHjt2jF177bUsOjqaGQwGlpaWxpYvX84sFot4nxUrVrCkpCSm0WgYALZp0yZWV1fHbr/9dhYXF8eCg4PZzJkz2bZt29js2bPZ7NmzuzxPd9voacWZbdu2sUsuuYSFhISwoKAgNm3aNPa///2v03348aiqqur2uJ9vtcCOXnrpJQaAjR49utvf93Vfe3rur776ik2cOJEFBQWxIUOGsJdffrnb1fcY699rd67W1lYWHBzM3njjDfFnH330EQPAtm/fzm655RYWHh7OwsLC2FVXXcWOHTvW6fEul4slJyezp59++rzPRQiRHwDs008/Ff9/6tQpJggCKykp6XS/efPmsRUrVgzoOYxGIzMajWzFihVs//797LXXXmMmk4m98847PT4mPT2dbdq0qcffv/DCC2zz5s3s4MGD7M0332QxMTHs9ttvF3//+9//ns2fP7/TY4qKihgAlpubO6D94FavXs3MZvOgtkHky1vzg57mLIx1P3cY7Ha722Zf5nuMDW4e4u3j1ts+crNmzWKLFi0S/9+feQ/3ww8/iHNsQohvUFCKEAU43x9lQhhjbMmSJezyyy8X///www+zkJAQ5nA4zvvY3bt3MwDs4MGDvhwiISRAzg1K8ZO3kJCQTjedTseuu+46xpj7BLW3CywA2L333ituU6/Xs+nTp3d63vvvv59NmzZN/P+vfvWrTs8nCAIzmUydfnb27Nke9+OTTz5hAFh1dTVjjLFFixYxvV7fZT8AsK+++oox1v43tLfbnj17ujwXBaUIkbZPPvmEabVaVlxczBjr37yHu/nmm9mMGTN8NURCCGOMyvcIIUQlrrrqKtx9991obm5GaGgo9u7di0mTJnVZmaY7n3/+OTIyMsQUeEKIsrlcLmi1Wuzbt6/LdwTv2ZScnNzjEu1cZGSk+O/ExMQufVlGjRqFtWvXiv9/+umn8dBDD4n/nzNnDp599llceOGF4s/4iqvdmTZtGgDg1KlTiI6OhsvlwuLFi/Hss892uS9fseu+++7DDTfc0Ot+ZGRk9Pp7Qoj0LF26FFOnTsWqVavw8ssv92veA7j7UX344YdU6kuIj1FQihBCVGL58uVYvnw5AIAxhv379+O2227r02OfeeYZPPPMMz4cHSFESrKzs+F0OlFZWYlZs2Z1ex+9Xt9lRc/eXHTRRcjNze30s5MnTyI9PV38f1xcHOLi4sT/63Q6JCcnY9iwYX16jpycHADtAadJkyZh7dq1yMjIgE7X/bQ3JibGq6u3EkKkQRAEvPnmm1i/fj2cTme/5j0AUFhYiJdffhkzZ8704SgJIQJjjAV6EIQQQgghxL+am5tx6tQpAO4g1AsvvIC5c+ciKioKaWlpuPnmm/HTTz/h+eefR3Z2Nqqrq7Fx40aMGzcOixYt6vfz7dmzBzNmzMBTTz2F6667Drt378add96JN954AzfddFO3j8nIyMCaNWvEpsUd7dixAzt37sTcuXNhNpuxZ88ePPDAA5gyZQo+//xzAEBpaSkmTpyI2bNn4+GHH0ZMTAxOnTqFDz74AG+++WafMyY6KiwsRG1tLdavX4/nnnsO27ZtAwAMGzaMlownhBBC+omCUoQQQgghKrR582bMnTu3y8+XLVuGNWvWwG6345lnnsG///1vlJSUIDo6GtOnT8dTTz0lrpzaX1988QVWrFiBvLw8ZGZm4sEHH+x19b3eglL79+/HPffcgxMnTsBqtSI9PR033HADHnnkkU7LzOfl5eHRRx/Fpk2bxPstWLAAL7zwwoBWbV2+fDneeeedLj/ftGlTt+MkhBBCSM8oKEUIIYQQQgghhBBC/E4T6AEQQgghhBBCCCGEEPWhoBQhhBBCCCGEEEII8TtJr77ncrlQWlqKsLCwAdX8E0IIIYT0BWMMTU1NSEpKgkaj3Gt2NLcihBBCiD/0dW7l06DUq6++ildffRUFBQUAgDFjxuCJJ57AwoUL+/T40tJSpKam+nCEhBBCCCHtioqKkJKSEuhh+AzNrQghhBDiT+ebW/k0KJWSkoI///nPGDZsGADgnXfewVVXXYWcnByMGTPmvI8PCwsD4N6J8PBwXw6VEEIIISrW2NiI1NRUce6hVDS3IoQQQog/9HVu5dOg1OLFizv9/49//CNeffVV7Ny5s09BKZ5WHh4eThMnQgghhPic0kvaaG5FCCGEEH8639zKbz2lnE4nPv74Y7S0tGD69Ond3sdqtcJqtYr/b2xs9NfwCCGEEEIIIYQQQogf+byT5+HDhxEaGgqj0Yi77roLn376KUaPHt3tfVetWgWz2SzeqOcBIYQQQgghhBBCiDL5PCiVlZWFAwcOYOfOnbj77ruxbNkyHDt2rNv7rlixAg0NDeKtqKjI18MjhBBCCCGEEEIIIQHg8/I9g8EgNjqfMmUK9uzZg5deegmvv/56l/sajUYYjUZfD4kQQgghhBBCCCGEBJjPM6XOxRjr1DeKEEIIIYQQQgghhKiPTzOlHn/8cSxcuBCpqaloamrCBx98gM2bN+Obb77x5dMSQgghhBBCCCGEEInzaVCqoqICt9xyC8rKymA2mzF+/Hh88803uPTSS335tESlGGOoarIixKhDiNFvC0sSlXG6GFptDgQbdNBqlL10PAksp4uhvNGCuDAj9Fq/JzYTQgghhBCJcbkYqlusMGq1MAfrAz0cr/Dpmftbb73ly80TAsYYvjpcjv/sLMDxsiY0tNmh1wqYnB6JS0bG4eZp6Qg2UICKDF5RbSve21WIj/YWobbFBgAIM+qwJDsZ98wdikRzUIBHSJTA4XRhzfYCfH2kHMdKG9FmdyLEoMW0IdG4bGwCfj4pBRoKhhJCCCGEqEp+dQvufncfzlS1wOZ0IdSow//un4nMmJBAD23QBMYYC/QgetLY2Aiz2YyGhgaEh4cHejhEYkrq2/DEZ0fww4lK8WeCAHR8Rw+LC8XLv8jGyAR6/5CBYYzhlc2n8fx3uXD18G1p0Gpw28xMPHxZFmVPkQE7WtqAR9cewpGSRvFn536nzRoeg+evnYC4cFMARqhsaplzqGU/CSGESNupymacrmrGxNQIxNO85rzu+s8+fHO0vNPP5o2Mw1vLpwZoROfX1zkHpZAQWTpW2ogb3tiBRosDeq2Au2YPxYKxCRgaG4ryBgu2nKzCPzedwqnKZlz18k9YtXQclk5KCfSwiczYnS7836eH8dHeYgDAzGExuGV6OmYOi4HV4cLxska89EMedufX4rUtp1HW0Ibnr50AHZVakX76+nAZ7n8/Bw4XgzlIjwcvHYGLhsUgPToYueVN2HiiEq9sPoVtedVY8NI2vHbzZFyQGRXoYZNB2rp1K5577jns27cPZWVl+PTTT7FkyZIe779582bMnTu3y8+PHz+OkSNH+nCkhBBCiPdUNFpw9Ss/ocniAACkRwfjL9eMx4VDogM8Mmk6UtKAb46WQxCAj381HWEmPS7/+zb8cKISm3MrMScrLtBDHBQ6cyKyc7amBbe+vRuNFgfGJZvx9W9m4XfzszAmyQyTXouMmBAsm5GBr34zC3OyYmF1uPDQxwexqUNGFSHn43Qx/Oo/+/DR3mJoBOAPV43Bu3dciMvGJCDEqENUiAEXDYvBR7+ajpdumAidRsDnB0pxz3v7YXU4Az18IiPbT1fjNx8cgMPF8LNR8djw4MVYNiMDw+JCoddqMDbZjF/PG44v7p+JUYnhqG2x4Y539uBUZXOgh04GqaWlBRMmTMDLL7/cr8fl5uairKxMvA0fPtxHIySEENIXR0sbcNd/9uHjvUVw9pRaT0Qr1x9Fk8WBMKMOGgE4W9OKR9cegsPpCvTQJOlvG04CAK6ckIQpGVHISgjD8hkZAIA/fHEMdpkfNwpKEVmpbLTg5rd2obrZipEJYXj3jgsxLC6s2/vGhBrx9rKpuG5KClwMuP/9HJwob+z2voSc628bTmLjiUoE6bX417IpuGV6Ro/3vWpiMl6/ZTIMOg2+O1aBZ7447r+BElk7WtqA//fvfbA5XVgwJgGv3zIZcWHdp7APiwvDp/fMwOT0SDRaHLhtzR7UNFv9PGLiTQsXLsQzzzyDpUuX9utxcXFxSEhIEG9ardZHIySEEHI+lY0W3LZmD745Wo6HPzmEK/7xI/YU1AZ6WJK14VgFvj5SDp1GwEd3Tcf+31+KqBADCmpa8b9DpYEenuTkFNbhhxOV0GoE/GZe+0Wo++cNR3SIAaerWvDuzrMBHOHgUVCKyAZjDL/7+CCKatuQHh2Mf99+AcxBva84oNEIeGbJOEwbEoVmqwO3r9krNqkmpCebcivx8qZTAIA/XzMOl4yMP+9j5o2Kx2s3TwIA/GfnWXx/rMKnYyTy12J14P/9ex+arQ5cmBmFF2+YeN6eZCa9Fm/cMhlpUcEorG3Fr/6zj64qqlB2djYSExMxb948bNq0qdf7Wq1WNDY2droRQkhvCqpbcPnft2HpKz+htL4t0MORNIvdif/3n32oaLQiJTIIYSYdjpc14uZ/7UJloyXQw5OcZqsDT3x+BABw58VDMCoxHBHBBtw5awgA4B8bT1Gm2Tn+sdF9TrI0OxlDYkPFn5uD9PjNz9xBqs9ySgIyNm+hoBSRjY/2FmFbXjWMOg3eXj61x2yCcxl0Grx282RkxoSgpL4Nf/ySslhIz8oa2vDAhwcAADdPS8NVE5P7/NhLRsbjjpmZAIBH1h6iyQjp1XPf5qKkvg0pkUF4c9kUmPR9y3aJDjXi7eVTEWbSYe/ZOryzQ95Xx0jfJSYm4o033sDatWuxbt06ZGVlYd68edi6dWuPj1m1ahXMZrN4S01N9eOICZEGxhjabFRa3xcHiupxzavbcbS0EfsL63H1Kz/haGlDoIclWSvXH8WBonqYg/R4744LseXhuRibHA6rw4X3dhUGeniS8+GeIpQ1WJAWFYxfX9Ke9XPL9HREBOtxpqoFXx4uC+AIpaXF6sC2vCoAwK9mD+3y+wVjEwAAB4sbUC3j7HkKShFZKG+wiCVRD83PwtAOUeK+iAg24IXrJkAQgLX7i7HjdI0vhkkU4A9fHEN9qx3jks34/RWj+/34hxdkYbSn789DnxyChBc4JQG0t6AW7+woAACsWjoO4abesz7PNSwuFI8vGgUAeP67XLqSrRJZWVm48847MWnSJEyfPh2vvPIKLr/8cvz1r3/t8TErVqxAQ0ODeCsqKvLjiAkJvJzCOlz72g6MXfkt/ktBgl7tO1uLG9/YiZoWG8Ymh2N4XCgqGq247rUdOFxMgalzlTW04YM97u/Uf/5iEtKjQxAVYsCvLnYHD97bVUh9Rs/BKwmWz8hAkKH9YlyoUYfbL3Jf2P3HD3lwUbYUAGBXfg3sTobUqCAMi+t6/hsXZsKYJPeqdltPVvl7eF5DQSkieYwx/N+nh9FkdWBCagRu82Si9Fd2WiR+cUEaAOD/++ww/ZEgXew6U4OvDpdDIwDPXTseRl3/+7QYdVr8/caJMOg02HqyCptz5fsHgviGxe7EI2sPgTHg2skpmDU8dkDbuX5KKqakR6LV5sST6496eZRELqZNm4a8vLwef280GhEeHt7pRuSvyWKn0t3zcLkYVqw7hKtf2Y69Z+vgdDH8/vMj2CLjEzdfe/H7PLTZnZg1PAYf/r/p+OTuGbggMwotNide2Xwq0MOTnK8OlwMApmZEYubwGPHnC8YmICHchOpmK76irB9RQ5td7LX1s1FdW2MsuygDwQYt8iqbcZz6AAMAtuVVAwBmDut5rjgny/07OZ9zUFCKSN720zX44UQl9FoBz/18/Hl7rvTmkctGIibU3RDuza1nvDhKIndOF8PTXxwDANx4QRpGJgz8xG1YXBh+6VkRY9XXx+nEgXTy7s6zOFPVgtgwI/6/y/ufjcdpNAL+ePU46DQCNhyrwAbqY6ZKOTk5SExMDPQwiB+UN1jw+8+O4NIXtmDcyu9wwxs7Zb/iki9tyq3E+7uLIAjAzyen4KqJSXC6GO59bz8tfNONkvo2/HjKfQL8xyXjEGLUwRykx1NXjgEAfH+8ghbXOMcXnqbcl4/r/B2s12pwy/R0AMDqnwooa95jy8kqOFwMw+NCkRYd3OX34SY9pg2JBgD85Hkvqt2PnqDUrA5Bz3PNyYoDAGzNq5JtPy4KShFJY4zh+e9yAQC/uCANI+K7X2mvr8zBevzf5e6Sl9e2nEFDq33QYyTK8Mm+IhwtbUSYSYcHLx0x6O3dM2cYzEF6nKxoxtr9xV4YIVGCFqsDr24+DQB4aP4ImIP7V7Z3rqyEMNzhaQ76/He5lO4uM83NzThw4AAOHDgAAMjPz8eBAwdQWOguMVqxYgVuvfVW8f4vvvgiPvvsM+Tl5eHo0aNYsWIF1q5di/vuuy8Qwyd+xBjDnf/ei//sPIu8ymYAwN6zdXh5I2Wv9OStH/MBAHfMzMRfr52A534+ARdmuhe+ue+/ORQoOMcne4vBGDB9SHSngMGoxHCMTzHD7mT4VObNlL2puK4VOYX1EARg0biuFwZumJoKg06DQ8UN2F9Y7/8BStAPx90Xzy4ZFdfjfS4a5g6+/HiKWq2UN1iQV9kMQQBmDI3u8X7ZqREIN+lQ32rHgaJ6/w3QiygoRSRtc24V9hfWw6jT4N65w7yyzasmJGNkQhiarQ68/VO+V7ZJ5M1id+L5704CAH4zbziiQ42D3qY5WI/7L3G/Z5//7iRabY5Bb5PI3793nEVNiw3p0cFYOinFK9u8a/YQhBp1OFHehO8oW0pWPdguHgABAABJREFU9u7di+zsbGRnZwMAHnzwQWRnZ+OJJ54AAJSVlYkBKgCw2Wx46KGHMH78eMyaNQs//vgjvvzySyxdujQg4yf+8+3RchwuaUCIQYvXbp6EVUvHAQBe3nRKtichvnSstBHbT9dAqxGw3NOnxqDT4PVbJiPYoMWpymY6bh24XAwf73P3Rrp+atfFEK6d4v7ZR3uLKJjnwcvyLsiIQlx418WXokONWDw+CQCw/gAF8xxOl1he1l3pHjfTE5TanV8Di13drVZ45uL4ZDMigg093k+n1WDWCHcJ35bcSr+MzdsoKEUkizGG5ze4s6RunZ7e7Rf+QGg0Au73rPaw+qd8NFkoW0rtPsspQWWTFYlmE26dnuG17d4yPR0pkUGobLLivZ3UXFXtmix2vL7VnSX160uGQ6/1zp/giGADlnvKRf/+Qx6dMMjInDlzwBjrcluzZg0AYM2aNdi8ebN4/0ceeQSnTp1CW1sbamtrsW3bNixatCgwgyd+43Qx8cLJbTMzsWBsIm68IA2LJ7jL0R788ACtLHcOniW1cGwCkiOCxJ9HBBtw6Wj3CfHnB0oDMjYp2nmmBsV1bQgz6cTVvDq6ckISjDoNTlY04yA1PAcAfHnIHZS6YkJSj/f5mScjaOeZWr+MScr2nq1DQ5sdkcF6TEqL7PF+I+JDERtmhMXuwv7COj+OUHp+9Ky6N7OX0j1ujicotVmmPfMoKEUk67tjFThS0ohggxZ3dbME5mAsHJuA4XGhaLQ48G9aTl3VnC6GNzz9xW6fmQmDzntfi0adFvd5MvxW/5RPvaVU7p3tBahvtWNIbAiumtjzJHYgbp+ZiRCDFsfKGvH9cXleJSOEdG/9wRLkVTYj3KQTy3UB4A9XjUF8uBFnqluorKqDyiYL/nfQHXC6vZvFcfj37xeHymTbf8XbPtrrzpK6ckISTPqui7yYg/RiidqHe2gFz8KaVhwsboBGABaM6RrE4y7IjAIA5FY0qb4fFy/dm5sV12t/YEEQxGwpNfeVYoyJJYy9NTnnZnuanR8qbkBti82nY/MFCkoRyXprm/sq17IZGV4pp+pIoxFwn6e06s1tZ9BipdIqtdpwrBxnqlsQbtLhBs/qjN60JDsZMaEGlDZY8NWRcq9vn8iDxe7E6p8KALhLRHVeypLiIkMMuJWypQhRHIfThRe/d6+u+KvZQ2EOau9DFxFswDLP5/7rI7TCF/fB7iLYnC5MTo9EdjcZGbOGxyIyWI/qZit2nKa+NRa7E1975ifXTelausddO8Vdcv7FoVLVB/O+O+Y+XtOGRCM2rOdzlOhQI7I8/XB356s7W2qTp3RvXi+lexz1lQJOlDehutmKIL0Wk9Ijznv/uDAThsSEAAAOl8gvm5GCUkSSjpU2YndBLXQaAcu8WE7V0RXjk5AZE4L6VjvWUSNqVWKM4dUt7iypW6anI9So8/pzmPRa3DItAwDwr21nKFigUl8dLkNNiw2JZlOXVXq85Y6ZmTDpNThc0oB9Z9Wd8k6IUuwuqMXZmlZEBOvFMt2OFo51f5/sOF2D+lb5XR33hU2enirX9xBg0Ws1YtbP59TrBweL6mF1uBAbZsT4FHOP97swMxphRh2aLA4cL1P36oU5nsblfSmrmjbEnS2184x6AyyNFjtOeRZomN5Lw27uomHu+xwurlftolS8dHFKRiSMuq7Zi90Zk+z+/B6hoBQh3vHvHQUAgMvGJiDB7J1eUufSagTc6lmu9d2dhRQsUKE9BXU4WFQPg06D5TO6pvh7y83T0sQVWPYUULBAjd7xlAnfPC3d61lSXHSoEVd6elu8u5PKkglRgi2e/iCXZMUhpJsLJ5kxIRiZEAaHi1HpLty9+w55eh7NGNbzye9VE5MBAN8cKVd9M+U9Be4MngsyoiAIPZdVaTUCJqW7M8/2Fqg76yfHEzDITu25NxI3bYj7fajmvlI8SJIcEYSokJ4bdnOJ5iAMjQ2BiwE7zqizhO9YqTvwOyap50DxucYmhQMAjpZSUIqQQatvteEzz5UrX2VJcUsnpSBIr0VuRRP2UmaB6ry3y33ivjQ7udf068GKDjXimknuCfC/tp3x2fMQaTpQVO8Ofmo13a5q5E03T3MH2r86XK76/hWEKMEWT8kL7xfSHd6Y+hsq4cOeglo4XQzp0cFIiQzu8X5T0iORZDahyeoQA39qtdtzsWxqxvkDLPw+ar7AVt5gQWmDBRoBvWaWcdRXqj0o1ZfjxfESPrUG8455shFHewJNfTHWkyl1tFR+mYwUlCKS8+GeIljsLoxKDO/TH8jBMAfpKbNApepbbWIPhV9c6P1eUufizVa/P16BykaLz5+PSMe/txcAAK4Yn4gYL/fHO9f4lAhMSDHD5nTho71UlkyInJU3WHCivAmC4O6D1BNewrc1rxrNKu+Rud3Tg2bGeUqENBpB7G2j5l4/ThfDfs9F2ame4Elvpma477O7oFa1FQYHitzHKyshvNvsxXN17Cu1S6XvNZ69OK4fQakJKREA2oMzauJ0MZwoawIAjOlHUIrf92xNKxra5FX2SEEpIikuF8N/PMGh5TPSe00j9haeWfA1ZRaoyqc5JbA53MHPccl9/yM5UMPiwjA5PRIuBqyjVZJUo6bZii88y0bf2k0/GF/g32nv7Tqr+ma0hMjZlpPucrzxKRG9lryMiA9FZkwIbA4XNp5Qdwnfdk/j8ulDz9/rZ7KnFE3NPfiOlzWi2epAmFGHkQnnP/mdkBoBg1aDqiYrzta0+mGE0sP7SWWnRfT5MbyPklr7SvHG2+OTI/r8GJ4hdLy0UXUB0IKaFrTZnQjSa5ERHdLnx0UEG5ASGQSgvfxPLigoRSRlV34tiuvaEGbSifX+vjYuxUyZBSrDGMMHu91LGt94Qapfgp8AcJ1n5ZqP9hap7g+sWn12oBQ2pwvjks2YmBrhl+dcPCEJ5iA9iuvasFXlZSmEyBkvK5szovflwAVBoBI+AHUtNjGrYvqQ8zdT5kGpo6UNqu0rxftJTUqPhFZz/rmQSa8VS7D2qLSvlBiU6sffdDU3O29otYsBzP5cBB4aGwqDVoMmqwPFdW2+Gp4k8fK7kYlhffpcdjQ2iZfwyauvFAWliKTwVfCuGJ8Ik75vKw14w02ezIKPKVigCgeLG5Bb0QSjToOrJvgn+AkAl49PQpBeizNVLeKqGkTZPs1xf6f9fHKK357TpNfimknu5/tkHwXaCZEjh9OFbXnuBr+99ZPiLh3tLkXbcbpGtfMYfsI/Ij60T30iUyKDEBtmhN3JZLmEujeITc77ULrHTfGU8KkxKGV3unCopB4AkJ3W9xYjvOzxZEUzmizyKqsaLP7ZSo8OhjlY3+fHGXQaDI8PBSDPHkmDwbOcRif2vXSPG5vsfozcVuCjoBSRjDabE18ddl/huzrbfydwALBoXCJMeg3OVLeodmKiJh/uKQTgft378wdysEKNOnEZ6o8pK0/xTlY04UhJI3QaAYs9vev8Zamnsf73xyvQqLIJMCFKkFNUjyaLAxHBerG3Sm/GJIXDoNWgrkNWgtrw0r0ZfSjdA9wZZpPT1FvCxxgTG5bzoElfXJCp3mbnueVNsNhdCDfpMCSm72VV0aFGJISbxG2oCQ/iDaRVBg/KqK2v1ECanHNjPMf5iMwCeRSUIpLx3bFytNicSI0KwpR03zY4P1eoUYefeRpefpZT6tfnJv5lsTvxxUF38NPXK6F1h5fw/e9gKVpt6m5Iq3Tr9rt7h83JiuvTEsjeNCYpHMPiQmF1uPCNp6E/IUQ++Kp7s4bH9ql8w6jTYoznCnlOkfqCBQDw02l3Ztn08zQ570jNfaXO1rSiqskKg1bTr1XRJqdHQRCA/OoWVDWpqxdrjifLfWJaJDT9LKsamehudn5cZUGpw8X9X3mP40EZufVHGiy+v2OS+n/MePne6apmWZ1nUFCKSAY/gbs6O6XfX/TesMTTw+p/h0qpObCCbTlZhSarA4lmEy7ox5VBb7kgMwoZ0cFosTnx7VEKFiiVy8Xw+QH3d9o1k/xXIsoJgoAlE93ZWXwchBD54CXe51tFrqPsVHeA5YCn542a1DRbcaaqBQAwLbPvx2xSegQAYP/ZOtWVPe72lN+NTzH3q2WGOUgvria3V2UlfAPpJ8WN8mT9nFBZ1g9feW/sADKleFDmuIqOWWWjBdXNVmgEiJ+z/ogNMyIuzAjGgONl8gmAUlCKSEJlowXb8txXBZdm+/8EDgAuHhGLiGA9qpqs2O652kaUh6+Edvm4xIAEPwVBwJWeAOiXh9TbkFbpdp6pQVmDBeEmHS4ZFReQMfDFIrafrkF5gyUgYyCE9B9j7T2O+pNdMNGzGlhOUb0PRiVtvNwlMyakX2X5Y5LMMGg1qGmxqa7skfecmTSA6gTeT+mIzJopDxb/bPVn5T1uZIInU0pFAZaaZitK6t1NygcSlOLZZSX1bahrsXl1bFJ11PP+GBIbiiDDwPor82Mtp2bnFJQikrD+YClcDJiUFoGMftRoe5NBp8Hlnn4/VMKnTK02B74/VgEAfu/x09EV493vs60nq6nfj0J9muPOTrpiQhKMOv8t2tBRalQwpqRHgjF3uSghRB7O1rSiyeKAQafBiH5cKefZG8dKG1W3mtxAGwOb9FqxMbDaSvhOeMrIeLCkP/hj1NQfqdXmQEGNOxtvIAEW/t7MLW+CSyUVGTy4PiQmBOGm/vdwDTfpkRYVDEA9wbzBNDnnxsiw7JGCUkQSvvb0PLkygIECAFjiydL69mi56iZ0avDD8Uq02Z1IiwoeUG27t4yID8OwuFDYnC4xSEaUw+504TvP63pVgL/TrvJ8p31GJXyEyAY/kRuVEAa9tu9T9ZTIIMSEGuBwMVldIfeGwTQGFvtKqWhVXMaYGFDKGkRQ6oSKglKnK1vAGBAVYkBM6PlXdzxXZkwIDDoNWmxOFNWpIysvr6IZQHvp4kCordn5YL7LuGFx7lULeUmzHFBQigRcRaNFvDq1YGxiQMcyOS0SyRFBaLY6sNnTZJQoxxeH3NkiV4xPhCD4v3SvI56VRyV8yrPjdA0a2uyICTWIS2cHyuXjEqHVCDha2ohClZWmECJXvKxqXD8vngiCgImevlI5KusrNZjsAh6U2q+iTKmKRisa2uzQagTxBLY/Ria4j3NxXRuaVJLxfbLCHYAbPoDjBQA6rQYj4t2PlVOvn8E4VekOSg0d4DED1Nfs/OQgMhi5ITGeoFR1s1fG5A8+DUqtWrUKU6dORVhYGOLi4rBkyRLk5ub68imJDPFmz9lpEUgwmwI6Fo1GwIKxCQCA76gJtaI0WuzY5Ak0BrJ0j7ucl/DlVaGhTR0TOrXgmZ/zxyT0adUsX4oKMeDCTHdgjBrrEyIPvDHwQJZQz1ZhXymL3YnTVe6Tr4FkF/BSrFOVzbA5XF4dm1QdL/f0rYkJGVCJuTlYj4Rw95ydB2uULs8TYOlPSe25eDBPLaVo/HM5kMAnp6ZMKaeLib3thsYO/Jhlxrpb4VQ322RzjuHToNSWLVtw7733YufOndiwYQMcDgfmz5+Plhb5pJIR3/v6sPtEaaEnGBRol41xj+P74xWwO9UxOVGDjccrYXO4MDQ2ZFBXH7xlRHwYRsSHwu5k2EAlfIrhdDFsOOb+TlswRlrfad9QUIoQyWOMic2jB9K3hveVUtMKfLnlTXAxIDrEgLiw/pdVJUcEIcSghcPFxJ5BSjeY0j0uS2UlfHme4BvPdhoIcQW+cuUHWID2oNTQ2IH3C+aB5jwVBI1L6tpgc7pg0GmQFBE04O2EGnWID3d/F56pkke2lE+DUt988w2WL1+OMWPGYMKECVi9ejUKCwuxb98+Xz4tkZGaZit25dcAABYGuHSPm5weiegQAxotDuw6o66lbpWMB34Wjg186R63SCzhoybUSrG3oBbVzTaYg/SY3o+l3H1p/ph4AO4l5isbaRU+QqRsoE3OufGpERAE92pVavm8Hy1t78EykL/vgiBghMoad+d6oURIbc3OT1a693NY3MCP2SgVBfJqmq2oa7VDENrLyQYi0WxCiEELp4uhsFbZbQh4uV1GdPCgM+3FEj6Z9JXya0+phgb3lZ+oqMD22CDSseFYBVzMvUpAqmd1hUDTagRcOtp9EkflLspgdTixObcSAPAzz2srBTwo9dOpGrRYHQEeDfEGXrr3s1Hx/WpQ7EuJ5iBMSI0AYxAbsBNCpOkQb3KeGD6g75BQow4jPCfNvAxQ6Y6VufdzMI2BszwBQLWUorWvvDeIY6aiAEurzYHiujYAg8uUGunJlDpb04pmhc/7TnuCIckRQQgyDHwVYkEQxHK0/Gp5BFgGiu/fYIJ43BDPMZNLXym/zZgZY3jwwQcxc+ZMjB07ttv7WK1WNDY2droRZeMncFIp3eN4uct3x8pVs2yrku08U4sWmxNxYUaMH0A5hK8MjwtFWlQwbE4XtuVVB3o4ZJAYY2Ige4HkvtMo0E6IHIhNzpMHHiwYmejJYFFJgMUbS6jzrDQ1ZP3YnS6cqhx8+R4PaOWWN4ExZc+V+cp70SEGRA9g5T0uKsQgllUp/b3WXro3+ABLppj1I48Ay0DxrKbMQZQ7ckNiKVOqW/fddx8OHTqE999/v8f7rFq1CmazWbylpqb6a3gkAJqtDuw47S7dk9oJ3Ixh0Qg16lDRaMXB4vpAD4cMEu/xM29UPDQBbjzdkSAImDcqDgDww3HKYJG7wyUNKGuwINigxazhMYEeTie8vxVfGZAQIk2HB9HknOMBljwVBKWcLiZm6owZTKZUgnoypfKrW2B3MoQadUiJHHjfmqFxIdBqBDS02VHRaPXiCKWHvy8G07Cb432llN7s/HTl4Jucc5kx6sqU4vs7GGKmFAWl2t1///1Yv349Nm3ahJSUlB7vt2LFCjQ0NIi3oqIifwyPBMiPedWwOV1Ijw72ShTdm4w6LeZkxQIAvj1KwQI5Y4zh+2Pu0r35Eird4342yj2mjScq4aSsPFnbeML9Prt4eCxM+oGnqvvCkNhQDI8LhcPFsMkzTkKItLhc7U3OxyVHDHg7fMn6kxXKzioAgLM1LWi1OWHSa8RsioHggbyzta1oszm9NTxJ4kG8EfGhg+qxadRpMcRz8nxc4Y27vbHyHsc/n3IJFgzUKS9mSg0VS9GUfczay/cGH5Qa6vk+zK9pkcX5hU+DUowx3HfffVi3bh02btyIzMzMXu9vNBoRHh7e6UaUi58Yzc2Kk0zj6Y7mezILNp6goJScHS5pQHmjO3tFKo2nO7ogMwphJh1qWmw4oKIlvJWIf6ddMjIuwCPpHu+Vt5GCUoRIUkl9m7vJuVaD4YPoW8NPnE9XNcviZGQw+DLxWQnhg2oMHBNqQFSIAYwBpyqVHczL9QSQRg6i3JHLUkmzc2+svMfx4Gm+THr9DJQ3Vt7j1JAp1WZzoqTe3bdsiBcCecmRQTDoNLA5XCjx9EOTMp8Gpe699168++67+O9//4uwsDCUl5ejvLwcbW3SPzDEtxhj2JQr7RO4i4fHQCO4rzQW1yl7tQcl+97T2FmK2SsAoNdqMHuEOyuPSvjkq6rJioOesps5I2MDPJruzfV8127Nq1L8iapcbN26FYsXL0ZSUhIEQcBnn3123sds2bIFkydPhslkwpAhQ/Daa6/5fqDEL3gwJDMmZFALJaRGBcOo08DqcCl+tSpeAjU6cXAZLIIgiM3Old6L60TZ4Ffe49SyAp83Vt7jMmLcCzsV1Cj3s2mxO8XG8N4o38vwBKWqmqxosiizBUFBjTvgZg7SIzJYP+jtaTUCMqLd77XTMgiA+jQo9eqrr6KhoQFz5sxBYmKiePvwww99+bREBo6WNqKyyYpggxYXDpHmaowRwQZMSosEAGzOrQrwaMhAfX/cHfy8VIKlexwv4fvhOGWwyBVf3XFcshlxYaYAj6Z72akRCDfpUN9qp6w8iWhpacGECRPw8ssv9+n++fn5WLRoEWbNmoWcnBw8/vjj+PWvf421a9f6eKTEH055qQeLViOImVZK75F0utJ9IueNYIFa+krx8r0sL5SiZXmanSt5BT5vrbzH8ZXVCmtbYXe6Br09KTpT5W4MHxGsR1SIYdDbCzfpEeNpMK/UbKmO/aS8VUE0JEY+paI6X25c6SsxkIHjJ98XDYuBUSe97BVu7sg47D1bh825Vbh5Wnqgh0P6qbLRgmNljRAEiD3CpGhOViy0GgG5FU0oqm1FalRwoIdE+olnfs6VaOYnAOi0Glw8IhZfHCrD5txKTE6PDPSQVG/hwoVYuHBhn+//2muvIS0tDS+++CIAYNSoUdi7dy/++te/4pprrvHRKAPjxe9PYv3BUoxJMmNSWgSWTExGpBdObqSMB6WGeiGzYERcGI6UNOJkeZO4orAS8eXOh3ihREgNK/B1LBEa7oWgFA/SnKlqhsvFJLWYjLd4a+U9Lj7ciCC9Fm12J4pqW71SqiU1HVfe81qAJTYE1c1W5Fe3YHxKhFe2KSXe7CfFtTc7V3mmFCE92Sjx0j2Ol1X9dKoaVoeyG18q0da8agDu7BVvTCR8JSLYIAYINp+krDy5sTtd2HbS/V6bK+HgJ+Du4Qe0B9GIvOzYsQPz58/v9LPLLrsMe/fuhd2unJKGkvo2/GPjKZypasH/Dpbiqf8dw2PrDgV6WD7HGwN7o9yFBxxOKrg/ktPFxBKooYNocs5lJSg/u+xsbXuJkDcyWJIjgqDTCLA6XChvtAx6e1KUV+m9lfcAd6koL0fjJVtKw4NSw7wYcOPBGjlk/QwEP2beCLBzvMm8HI4ZBaWI31U3W3GouB5A+wmSVI1JCkdcmBFtdid259cGejikn7Z4Ajw8uChlfIxbKSglO3sKatFkdSA6xIAJEr96N9sTNDtS0ohKhZ5AKFl5eTni4zuXIsfHx8PhcKC6urrbx1itVjQ2Nna6Sd2/txfA6WKYkBqBX80eAsC9Yq9SS10Ad3WBWL7nhRM5nsGSp+AAS0ldG2wOFww6DZIjgwa9PR7IK2uwoKFNOUHejvKrvLfkPODOwE3zZHcXKLSsiu+XNzOalB5gac/69F6ARenNztvL97z4PhNXLZT+xQkKShG/25JbBcbcAZ8EszR7r3CCIIhlX9RXSl6cLoZtefIJSl083D3GHadrFH3ipUT8u2F2VqzkSxdiQo2YkGIGQFl5cnVuKQRvldBTicSqVatgNpvFW2pqqs/HOBgtVgf+u7sQAPDrS4bh0ctGwhykR4vNicMlDQEene9UN9vQ0GaHIHi3FO1MVQscCv2bwpv3ZkQHD2rlPS7cpEeSZ16q1Gyp/BrvBqWA9ibUZxQaLDjrWSyAN432hvZm58o8ZjzYNsSLAZbMGPkEWAaiY08pb+GB1IpGK1qsDq9t1xcoKEX8Tk6BAoDKXeTqUHE96lvtCDPpMDE1ItDDOa8xSeGIDjGg2erA/rN1gR4O6Qee3Sb1zE9ujmecm+k7TXYSEhJQXl7e6WeVlZXQ6XSIjo7u9jErVqxAQ0ODeCsqKvLHUAfs471FaLI4MCQmBHOz4qDRCJjmWRBlx+maAI/Od3hmQWpksFdWik2OCEKwQQub06XYVb74ie9QL2awDPME804rtOyRZ/1kRHsxKOXZlmIzpTyfn3QvBqV4NowSs34YY+Kqnxk+CLDkV7Uorm91bYsN9a3u7EwesPQGc5AeEZ6V/IokvpI8BaWIXzHG8OMp96Ry5vCYAI+mby4aHgOdRsCZqhYUKnRip0S8dG/msBjoBrG0tr9oNIL4mdiaRxksclHZaMGJ8iYIgnvhBjng2Z/b8qoVm0GhVNOnT8eGDRs6/ey7777DlClToNd3v4S00WhEeHh4p5tUOV0Mb/9UAAD45cxMMfNw+hB3wE3RQSkv9pMC3H9Thscpu4TvjA96sGR6Ag/5Cs1g4UEQb574ZsYquz/SWc9+pXsxkCeWoimwfK+u1Y5mqwOCAKR4oayWS4sKhkYAWmxOVDVZvbZdKcj3ZH8lmk0INnh3HbrUSPdnvai2zavb9Tbpn6kRRTlR3oTqZiuC9FrZrPwUbtIjOy0CAPDjqe57dhDpkVM/KW7WcN5Xit5ncsG/E8Ymmb3SNNYfxqdEINykQ5PFoehyKDlobm7GgQMHcODAAQBAfn4+Dhw4gMJCd/naihUrcOutt4r3v+uuu3D27Fk8+OCDOH78ON5++2289dZbeOihhwIxfK/beaYGhbWtMAfpcc2kZPHn04e6A757z9YqdtERnpnjraAU0N4jKVexQSnvlwjxzI6z1cq8CJnv2S+vllVFK7fXT0OrXcxg8W6mlPuYlTZYYLEr6zuNZ0klhJu8kvXJGXQacXVqpZWK8mOW5oPVt1Oj3IHBolppf6dRUIr4FS/du3BIFIw6731R+drMYe2r8BHpq2ux4WBRPQDgYhkFpS72ZEodKW1ATbOyrgIp1Y+eFR7lkvkJAFqNgBmek3w+fhIYe/fuRXZ2NrKzswEADz74ILKzs/HEE08AAMrKysQAFQBkZmbiq6++wubNmzFx4kT84Q9/wN///ndcc801ARm/tx3wfG/PHhHb6WrxiPhQRIcYYLG7cLBImYFUbzY559qbnSuzFI33lvFmppRYiqbArJ8mix3VnrmFNzOl+LYKa1vhdCmrrIqvVhgbZvRqBktksB7mIHd2q9LeazzAkuqDAItSG8QXe7KYfHHMxEwpKt8jpN02fgInkzIXbuZwd+nAT6er4VLYH1wl2n66Bi4GDI8LRVKE91KHfS0u3ISRCWFgjLLy5MBdjux+nWbJ7jvNE5Si91lAzZkzB4yxLrc1a9YAANasWYPNmzd3eszs2bOxf/9+WK1W5Ofn46677vL/wH3kWKl7ZcAxSZ1LDAVBwLShyi7ha1+tyouZUnGe/khVygtKNVsdqGh0B1i8uSoaz5QqqGlR3HyvwJMlFRNqQJip+3LfgUgyB8Gg08DuZCipk3aJUH/xflLebHIOuL/TlFrCV+gJsvki64eXUJ5VWCCPB4x4AMmbUqJ4+R4FpQgBAFjsTuzOrwUgr+wVwF3uEmrUob7VjqOl0l9OW+1+Oi2/7BWOlxtuoZXRJO9kRTMqm6ww6TWYnCGPcmSOXxjYX1iHVpu0V2Qh6nG01J0FNTqpa98rsa/UGeUFUpssdpQ3WgB4t3xPLEWraVVcY2B+Ih8TahAzTrwhJTIIWo0Ai92FiiaL17YrBbxPljebnAPu/mXpUcrsxVXog35SnBiUUtox82kpmjyyfvqrSMyU8v6F9NRIXr4n7YAxBaWI3+w7Wwerw4X4cKPYfFMu9FqNuPoPZRZI33bPa8RLlOSE95XafqpGcScRSsPLkS/IjJZVOTLg7o2RHBEEu5Nhl+diASGB1Gx1iFkJY5LMXX4/w5Mptf9sveJ6sJyuai8R8kWApc3uRKXCGgOLpXte7I0EuOd7/CSuQGF9pQp8sOQ8J2aYKazXj7jyng8CLIrNlPJlUEomAZb+EjOlfBzIk/J5BQWliN/wFcUuGhYDQRACPJr+4ytrUV8paSupb0NBTSs0grt3mdxMTo+EQatBeaNFkU1DlYSXI8utdA9wlw7M8mQS/kR9pYgEHC9zZyEnmk3dLhqQGROC2DAjbE6X4jKWfdFPCnAHWPjqV0r7e8IDed7sJ8WlK7SvVPvKez7M+lHY+0xceY+OWZ8V+bI/kgIzpRxOF8oa3FmZ3lytkEuOCIIgAK02J2pbbF7fvrdQUIr4DQ/mXDxcXqV7HD+B211Qq7irtErCs6TcK4x574qzvwQZtOJqj9sV2jtFCayO9nJkOZaJAu2Bdsr+JFJw1LMS5Ln9pDhBEMTG3WcU1iPplA9W3uOU2oOFvwd8EZTKVGjWT74vM6UUGsg764dMKSUdM5vDhdIGd1DKm6sVcjwoVd9qR5PF7vXtB0JZgwVOF4NBq0F8mMnr2zfpteJ2iyTc842CUsQv6ltt4pVNnoIvN0NjQxEfboTN4cLegrpAD4f0gAdyLhomz/cZ0F52qNSGvkpwoLAebXYnYkINGJkQFujhDAgPSp0ob0KVwkp7iPzwOcLoxO6DUkB7qZbSlgPnASPfBAvcJ3G8DEkpxEwpL5fvAe3HTGkZLAU+6ikFKDPrp9XmEMtefXHMeIClutmmmN6OJfVtYAwINmgR3U3G62CFGnWIDHZfcC6WcIClP3jWV3JkEDQa31QS8V5VUm52TkEp4he78mvBGDA0NgRx4d6PAvuDIAjiSdy2U9SEWooYY2JG3kUy7CfF8YDajjM1ilv9Ryl2nHEHDKcNiZZlOTIARIUYxKyU7acpW4oE1jFP+d7obvpJcTwrRmmZUmI2hg8yC8QMFgUFCxhj4v74IlOqY4N4pahrsaG+1Z1ZkhHju6yf4ro22J0ur28/EPjrHxGshznY+5n35iA9wk06AMoJsHTsJ+WruVGqTFaT66tiT7mjL0r3OL6qn5TLHikoRfyCZ3xMl2mWFMcDHTvPUGNgKTpd5V4NzajTYFK6vFZD62h8SgSCDVrUttiQW9EU6OGQbijlO41nru48Q1l5JHBsDhdOer7reirfA4Ahsbx8T1kBFrFvjS+CUjHKy5SqarKize6ERvBN35qOpWhKuTDEV3hLCDch2KDz+vbjw40I0mvhdDHFBAt8WbrHKS3Awlcr9MXnkmsPsCgjkOfLJudcigzeZxSUIn7BT3imD5Fv9grQ3jj7SEmDYmqZleSnU+732ZSMSJj08loNrSODToOpGe73GvWVkh6L3YmcwnoA7cvUy9W0ITwoRYF2Ejh5lU2wOxnCTbperxYP6ZDB4lRIsKCmxYYWmxOCAKRE+i7AcramRdIrL/UHz8ZIigiCXuv9U5mUyCDoNAKsDhfKGy1e334gFIhNzn1z4isIghhUVUqPpPZgsfez8biUSOmXVfWHL1fe41JkUIrWH3w/fJspJf1VCykoRXyuptmKE+XuK6DTZLgaWkcpkcFIjQqC08Ww9yz1lZIaXoI0Q8alexzPYNlBZVWSs7+wDjanC3FhRp/0gPGnqZlR0AjuPiDlDco4+SLyc4z3k0oK77XkIzkiCEadBjanC8USLkPoD37imxhu8snFlJTIYGg8Ky8ppXecr098dVqNmLWglLJHnvXji95IXHsAVCGfzVp+zHyf9aPE8j1faT9mynif8dc+1QcXJbg0GaxaSEEp4nO7PCtUZcWHITrUGODRDN60TCp3kSKXi4nvNbmXVAHtgbVdZ2rhUEh/BqXY2aF0T679pLhwkx5jk909fHbl03caCQze5HxML/2kAECjEcRAsFJK+PgJfJqPTnwNOo2YgaWUJtT+OPFNV1iDeL+UCHmyMZQSYOEB4zQfBvJSZRAs6I9CTyaOT4NSYimaMt5n/vhs8m2X1rdJNsuYglLE55TSe4WbPpTKXaToZGUT6lvtCDZoMS659xMbORidFI5wkw5NVgeOeE7YiDTsEMuRlfGd1l7CR0EpEhjHy86/8h7HG1ufVkizc39ksPAAi1IyWHhQypcncR37SimBX5opy6BvTX/4cgECrn1VNPkHWBhr7yfm255SnmNW1yr7kmSL3YmKRncGa6oPP5vx4SbotQLsTibZkmQKShGf67hKlRJc6NkP6islLbs8QcLJ6ZE+6THhb1qNgAsy3eWue/IpACoVbTYnDhTVA1BOoJ2XVe+g/mUkQHiAKSsh7Lz3HRLjaXaukKyf9mwM353E8eyyfIUEWIr8kCklHjOFvM94qZMv+pZxPMCihEwph9OFMk9Juy/LquSwKlpf1bXa0Wx1ePrj+S7AkhwZBMFTklzbYvPZ8/hDSb37sxJs0CIqxOCz59FqBCRHSLsXl/zP3IikVTZZcKqyGYIg/35SXHJEENKigqmvlMTw0qMLM5XxPgMgNjvfXUBBKanYd7YOdidDotnk0xMif5qS4e4rVVDTirIG+Z9MEHmpb7Whutl9YtGXHm08U+qMUjKlavkKX77MlGpvdq4E/izfU8IxszlcKPNkR/DAkS+kKCjAUt5ogdPFoNcKiAvzXeuRZE/wpsniQEObvC90n+2wwqMvFxsy6rSIDzMBkP8KfB2bnPu6HQTPXiukoBRRI569MiohHBHBvosA+xsPsFG5izQwxrDbk010oUIy8gB3E2oA2FNQq5hlqeVuxxl34/npQ+TfT4rr1FeKypKJn5329IZKMpsQYjz/UvVDYj2ZUgrpKVXohxKhzBjeU0qaJyP90bHcxR99a4rr2mRfIlRa3wbGAJNeg1gf9nZN6RhgaZV3gKXEE+xIigiCRuO7v/XBBh1iQt3nR1LNYOkrniHnyywpLlUhK/D5o8k5x4PGxRI9ZhSUIj7VHihQTvYKQMuoS83pqmZUN9tg1GkwPkX+/aS4sUlmmPQa1LfacUohWQFyp/zvNAq0E//ipXtD40L7dH+eKVXZZJV9CX2TxY4aT/mJL4NSHTOl5B5g4WVoYUYdIoL1PnseXuqihBKhog6le768mNIpwCLzbCl/BlhSFLKaHM+0Torw3zGT+/vMH03OOf5eLpXoSssUlCI+JZ7AKaikCqC+UlKzs0M/KaPOdynD/mbQaZCdGgmg/bNEAsdid+JgUQMA4MJM5WTkAZT9SQJHDErF9i0oFW7SI8aT7SH3fj+8kXJ0iAFhJt8FWFIjg6Hx9GCparb67Hn8oWOTc18GWEx6rVi2JfceSe3ZGBRg6SsxKBXh+2CBUlaTK613BzsSzX7IlIpURoN4fyxAwPFAe2m9NI8ZBaWIz9S32pBb0QTA3bNESZIjgpASGQSniyGnsD7Qw1G9XWLwU1mBAgDtzc6pr1TAHSyqh83pQmyY0adZDYEwOT0KgqevVFWTvE9aibycruRBqb73VBoq9pWSd1BK7I3k4+8Tg04j9q6R+wp8vNzRHz39xGCBzAMs/lgRjUtRSrCgrr3Xj6/x55B7II8HO5IiTD5/rpQohQQ/6/0XlEo0u18XCkoR1dlT4G4CPjQ2RLyqqSS8CTU1Ow8sxhh2ebI7lFZSBYBW4JMQnq12QWaUYvpJceYgPbLi3Suf7TtL7zXiP7ynVF8zpYD2vlKnZV7WXOBpDJzujwALL3eRaD+Rvir0BDt8HcgDlJONUeTXXj/KCBbwVdGS/XHMxFI0eb/P+GqFSX7JlGrv+SZnPECU7IeMPF5WWdpgkWSfWgpKEZ/Z7VkN7QKFle5xUzLcZVV7KYMloApqWlHZZIVBp8HE1IhAD8frstMioNMIKG2wyH6SJ3d8FcQLFJb5yfFAO7+gQIivWR1OMVuorz2lgA6ZUjIv32tvcu67lfe49qCUvE/iCv2a9aOMAIuYKeWHZspKCbC095TyR0aeMpp2855SiX7IlOLHrKSuTZIBlr6wOpxiZro/sssSzCYIgns1zhoJ9smjoBTxmd2eExulBqX4CVxOYT3sTleAR6NevKxtQorZp0vQBkqwQYcxnpXRqK9U4DicLuw/q+zvNAq0E38rrGmF08UQatT1a9l1nvFRIvMT37N+WHmPE098FRJg8U/5Hj9m8n6fFQegmbKcA3lOFxMzWPySXdYh60euCxFY7E5UN7sDHf7IlEoIN0EjADanC9Ut8mw5UNHgHrdRp0FUiO9XqNdrNYgPk24JHwWliE+0WB04UuJuCDxVoVkFw2JDYQ7So83uxLHSxkAPR7X2eYKfSutb1tEFnmAB9ZUKnGNljWixORFu0ollbkrDv6uPlDai1eYI8GiIGrQ3OQ/pV0ksL3UokeDEuj/O8vI9PwSllJD1wxhr78Plx5JHqS6h3hdttvZggV8ypTo07ZZrgKWi0QKHi0GnERAf7vsMlsQIdwZLm90pyQyWvij3lO4F6bU+XRWT02k14mvDG6zLTUl9+2qF/moJwTOyeFablPg0KLV161YsXrwYSUlJEAQBn332mS+fjkhITmE9nC7maQiurIbAnEYjYEo6BQsCbY+n/w1/LZSIBwsoUypw+LGfmhEFjUZZ/aS4pIggJEe4F3A4QAs4ED8YSD8poL3PS1WTFVaH0+vj8gerw4myRvfJVFqUH8r3ouTfH6m62YY2uxOC0L6SlC+Jgbx6+ZYI8SBkmEkHsx+CBUkKCLDwYEFihAlaP/y9N+q0SPAEWORawlfaoXTPfwEWaa8mdz48MOSP0j2OH7MSCQbyfBqUamlpwYQJE/Dyyy/78mmIBCm9nxTHs3P2Ug+WgKhtsYmrL01WQVDqdFULamS+nLdcdWxyrmRTxKw8+k4jvieuvNePflIAEBmsR5CnXLtMgpPrviitt4Axd2ZBTKjvSzd4gKWsoU22LQd4llSSOQgGne+LPRIjPCVCDheqZPq3l5dr+iNLCnAHWHiJkFybUIsr7/mh+TQn915c/HvYH6V7nNyDUuJqhX48ZskSPmY+/UZfuHAhnnnmGSxdutSXT0MkaFeHrAIlm8p7sJytlW2aspzt8/T4GR4Xiohg30/qAyUyxIAR8e6TNgoW+B9jTMyGnKr4oBRfVZSy8ojvdSzf6w9BEMSry3It4eu45Lw/MgtiQ40w6DRwsfZSG7kRG3ZH+eckTq/VINEs7ybUPDPOX8es43PJ9ZgV1/qvnxTHn0uKwYK+4ONONPsz60fefwN4tlKiH7I+Of76SPF9JqmeUlarFY2NjZ1uRH7sThcOFtcDaA/aKNXYZDMMWg2qm20oqJHnH1854w2Zpyj8fQZ0XBmNggX+drqqBXWtdpj0GoxNMgd6OD7Fv7P3n62DQ6bZFEQeGGMDLt8DgGRPZoFcm523r+7lnxMSjUYQn0uuwQJ/9pPi2ht3y/N9xl9rf7bSaM/6kef7jAc5kv0YlOIr1kkxWNAXpZ5Ad5IfAyxSzvrpCz7u5ACU70nxmEkqKLVq1SqYzWbxlpqaGughkQE4UdYEi92FcJNuQBNNOTHptRif4j5JpWCB/+31ZEpNTld29grQXjZGfaX8b3+h+302PiXCLyUjgTQiLgxhJh1abE6cKG8K9HBU4ZVXXkFmZiZMJhMmT56Mbdu29XjfzZs3QxCELrcTJ074ccTeUdlkRbPVAa1GQNoAGn3zE5JiCU6u+6I9U8qfARZ5BwvaT+L8GGARG3fL85jxYFpqALJ+5BrIaw8Y++99xjPy5Nq0OyD9kRRzzPxf8qi6nlL9tWLFCjQ0NIi3oqKiQA+JDAA/gZuYFqnYhsAd8XKXfVRW5VcWuxOHi90rPCq5yTnHM6WOljag2Uoro/nTfk/wc1Ka8t9ntICDf3344Yf47W9/i//7v/9DTk4OZs2ahYULF6KwsLDXx+Xm5qKsrEy8DR8+3E8j9h5eupcaGQSjTtvvx8u93CUgZVUyDxa0r1blvxNfuWf9iD2l/JldJvtAXntprb8oJesnkXpK9QljTMzyDUR2WXWz9BYJkVRQymg0Ijw8vNONyA8PSk1KiwjsQPyEl7vsoR4sfnW4pAE2pwsxoUa/LKcdaHxlNBdrD5IQ/1Dbdxot4OA/L7zwAm6//XbccccdGDVqFF588UWkpqbi1Vdf7fVxcXFxSEhIEG9abf+DOoF21lPynh49sJXn+ORavuV7ASirknmwgL/W/iyroqyf/kuVcWmty8XEzBt/BqV4+R7PnpEbsdF5AAIsNS02WOzSCrCcT6PFgRabe8z+bHQe0WGREKn1FpRUUIooQ/sJnPKzCoD2Vd/O0MpofsVPmKekR/pt+dlAuzCT+kr5W6PFjjzPCmGTVJCRB3TuX0YLOPiOzWbDvn37MH/+/E4/nz9/PrZv397rY7Ozs5GYmIh58+Zh06ZNvhymz/CgVMYALyrwwIRcm9z6u6dUx+eS4wpfjDHxtfbrqmhR8s2UarE60NBmB+Df7DIx66ehTXZ/Q6qarbA5XdBqBCSE+7/XT12rHW02eQVYmix2NHky+P35PgsP0iHE4A6wyC1bigcfI4P1CDL476KSlBcJ8WlQqrm5GQcOHMCBAwcAAPn5+Thw4MB509KJfFU1WVFU2wZBACaqJKsgIrh9ZbS9lMHiN/vOqqfJOTeV+kr53YHCejDmbqwbE2oM9HD8YnyKewGHSs/3OfGN6upqOJ1OxMfHd/p5fHw8ysvLu31MYmIi3njjDaxduxbr1q1DVlYW5s2bh61bt/b4PFJdROZsjbvJ+UAzpfhJXFlDG1wueZ34WuxOVDa5L2IFpAG1DDOlalpssDpcEAQgwY8rfPHyytJ6i+wWf+AnvuEmHcJMer89b7zZ/bfSYnehrtXut+f1Bp7BmBBugk7rv9yNcJMeoUYdAHcwT07KPBk35iA9gg06vz2vO8Aiz75SpfX+L93jpHrMfPpp27t3L7Kzs5GdnQ0AePDBB5GdnY0nnnjCl09LAohnSQ2PC0W4H/8ABlp7uQsFC/zB5WLYJzY5V1FQyvM+O1BUL7lacKVSW+ke4F7AYRwt4OA352Z6MsZ6zP7MysrCnXfeiUmTJmH69Ol45ZVXcPnll+Ovf/1rj9uX6iIy7eV7AwvKxIcZodUIsDuZGOCRC35CEmzQIjLYf3MlnvVT2WSVXbkLLwWLCzP6dcGJuDAT9FoBThdDeaO0TuLOpyQAJVUAYNRpERvmDkzJLYOlOAAlolyiWZ4r8JWI/aT8Fyzm5NpXKlCfTaBjg3hpHTOffqvPmTMHjLEutzVr1vjyaUkA8RM4NQUKgA59pagHi1+cqW5GXasdJr0GY5LMgR6O3wyNDUFUiAFWhwtHSqSR7aB0+wvrAaindI/jGYh7qVeez8TExECr1XbJiqqsrOySPdWbadOmIS8vr8ffS3ERGcbYoDOldFqNWF4jtTKE82lfES3Yr+XnkcF6BHtKReR2zErElff8exKn1Qjic8otc7Q0QMcM6LjKl9yOmTtYEMhjViaxDJbzKZPAMZPf+8yTKRXAQJ7U+pdRTyniVTln6wEA2SrpJ8VNSXdnsBwpaZBdLbgc8X5SE1Ii/HrFNNAEQRB7teUUUgDU11wuJh5ntfTI4/h3GgXafcdgMGDy5MnYsGFDp59v2LABM2bM6PN2cnJykJiY2OPvpbiITE2LDS02JwRhcKvPybWvVCD6SQHuvyFyLeELZLmLXN9n4opofuzzwyXzxt0yO2b8RD0wWT+eTCmJBQvORzxmAXyfSS3r53zKAlq+xy/mSCv4qZ6zOeJzNocLB4vrAajvBC4lMggJ4SY4XAwHiuoDPRzF47271NRPipuUHgEAYvki8Z3TVc1osjgQpNdiZEJYoIfjVzzb9VRlM2pbbAEejXI9+OCD+Ne//oW3334bx48fxwMPPIDCwkLcddddANxZTrfeeqt4/xdffBGfffYZ8vLycPToUaxYsQJr167FfffdF6hdGBCeJZVkDoJRN/AmrykyXYGvKABLznM8CCi31eQCWVaVLNsSocCd+CbyEiGJrfB1PgHt9SPRsqrzaS/fC9z7rEx277PAle9J9fvMf93IiOIdL2uE1eGCOUiPITEDS8eXK0EQMDkjEl8eKsO+s7WYPjQ60ENSNN67i2dzqMlkT8B3f2Fdr71nyODxcuTxKWa/NjyVgqgQA4bFheJUZTP2na3DpaP7Xk5G+u76669HTU0Nnn76aZSVlWHs2LH46quvkJ6eDgAoKyvrtDiMzWbDQw89hJKSEgQFBWHMmDH48ssvsWjRokDtwoDwflJpUYNr8t1euiGvrJ/2TCn/NTnn+HPKbTW59pX3AlgiJLNAHpXv9V97sMD/WT+JEfIMsEihfE9qAZbzCWTAuOMxk9J5BAWliNfwE7jstAhoNNJ4g/vT1HR3UIrKXXyrqsmKAs8Jjdoy8gBgfEoEdBoBFY1WlNS3BeSkRi32e8qR1dYjj5uaEYlTlc3YW1BLQSkfuueee3DPPfd0+7tze3A+8sgjeOSRR/wwKt/iQamMmMF9f4llVTILFhQHMFOKP2exTPsjBTSzQGZlVYHNxpBpWVVD4LJ+2suq5HrMAlG+1x78lFKApTcdF00IRPCTr17aanOisc0Bsx8X2+iNui79Ep8SGwKrMFAAtK/At/9sHZwyW55aTnjZWlZ8mGS+SP0pyKDFqER3Txj+mSO+sU+l/aS49r5S1OyceBcv30uLGlxWdXsZgrwyC8RG54PMFBsIMSglsxNfsdF5AMv35BT8dLmYGCwIZPmenJp2t9mcqGu1Awhs+V5ZvQWMyeM8gjEmlmgG4pjFm40QBMDqcMmm1UBVkxVOF4NWIyAuzP9BKZNei6gQAwCgrFE632kUlCJes/+suk/gRiWGI8SgRZPVgbzKpkAPR7F46d5kFfaT4njmzn7qK+UzDa12nKpsBuDO/lQj/j47UtoIq4MWcCDec9bTZDsj2kuZUp6r5HJgsTtR1WQFEJhMqeQI9zGXUwZLi9WBek+wIBAlQnJ8n1W3WGF3MmgEID7M6Pfn5wGKiiYL7E6X359/IHgmXIhBi3CT/4uJeAZLm90pvt+lrqbFBpvDBUEA4sP9H2Ax6rSIDXW/v+VycYIH2BPCTdAGqLKIr1wrpVJRCkoRr6hstKCkvg2CAExINQd6OAGh1QiYkBoBAMihDBafEZucq7SkCmgPkuynFfh8JqfIfWwzooMRHer/Cb0UpEcHIyrEAJvDhWOljYEeDlEQsafUYINSnhPfZqsDjW2OQY/LH/gJSahRB3OQ/7N9eYClqskKi10ewWYeQAsz6RBm8v8xSzCbxGyMGplkY/AT9IRwU0B6IkaHGGDQacAYUC6hE9/e8KyuxIiggJSBmfRaxIS6M1jkUirKj1lsqDFgq2HLrX8Z/zwEotyR488tpc8mBaWIV/CT46z4sIBMGKRCDBZQBotPWOxOHC1tAKDOJuccz2A5Vtoom5MKuVF7OTLgXsAh2xNop1JR4i2NFrtYZpEePbjyPZNei2hPGUKxTJqdF9W295MKxIlvZLAeJr17+i+lq+S9KQ5gw27g3GwMeZz4BrIHFwBoNAKSzNLLxuhNoI8ZIL+yRx48SwzgMZPqanI94WW1CQEMSiVI8LNJQSniFeIJnIqzV4D2E1jKYPGNQ8UNsDsZYsOM4rLWapQcEYS4MCMcLoZDxQ2BHo4i5fCFG9T+nebZ/xz6TiNeUujJkooJNSDUOPgSGbk1O29feS8wf8MEQZDdSVxJgI8ZIL/3mZQCLHJ5n/EAS1IAgwW88bVcMqXE95kEsn7KZHLMygLYg4vjz10moc8mBaWIV+xTeT8pbqInq+B0VQsaZFIPLif7xcbTEbJYYcNXBEEQP2v7KCvP61wuhgNiplREQMcSaNlUkky8jJfuDTZLikuWWelGe1AqcCunJnuemwIsfSe3EiE+zsQArO7Fye2YieV7AVh5j2sP5Ekng6U3Ugiw8KyfUgll/fSGl8wlBKAHF8efm68CKAUUlCKDZnO4cLjEna2h9hO46FCj2LiV96Qh3pOj8tXQOhKbnVMGi9flVTajyepAsEGLrPiwQA8noManRkAjuE8qKiQ0eSHyVeBZeS/dSyvPyS3rpzTApWju53afkMhlBb4SCRyzFJkFWKT0PpPNZ1NcrTBwwQK5fp8Fsj8SD4hJqT9Sb3hGlxR6SlH5HlGUo6UNsDlciAzWIzPGO1c+5YwHTCizwLsYY2KZaDYFpTApPQKAu3+ZXFYDkgse6JuQEhGQBrFSEmrUYYQnMEclfMQbCr2dKRUpr2CBGGAJZCmazE58eUZXII9ZksyOGc+0SQpk1g8vEZLQiW9vpJCRxzPb5FKKJoljxgMsMvlsiplSEugpJaVAnrpn28QrOgYK1FxSxdHKaL5RUt+GqiYrdBoB41PUucJjR2OSzNBrBdS02FBYK48Gv3LBFyrggT+1myRm5dUHdiBEEU5XNQMAMmK8kykllgjJpBSNj1MSpWgyOWZSOPGVW5moFI6ZnAJ5jDExeBbYDBYq3+svfswqmqxwuqR9kdbpYqhosgKQRsljs9WBJos02s1QUIoMWsc+P6Q9i+dAUT1cEv9ylBN+Qjw6KRwmvTawg5EAk16Lscnu4BwFQL1rP5WJdtKe/UnvMzI4LhfD8bJGAMDoxHCvbFNOwQKbw4WKJvdJXGDLqjwnvjLIxrA7XWLfkxQJBFjkEMiz2J2o8axwKYXyPTl8Nhva7Gi1uVczlkLws7zRIvkAi8PpEsv6A9noPDbMCJ1GgNPFUOUJ+EhVlSdwptUIiPGs6BkIwQYdzEF6ANLJZKSgFBm0HGpy3snIhDAE6bVosjjEK8Jk8MTV0DyNlwmo2bkP1LfacLrK3fOGykTdePbnoWJ3qTYhA1VY24oWmxNGncZr5f58RbbqZhssdqdXtukrFY0WMAYYdBrEhBoCNg5eBldWb5H8xbPyBgtcDDBoNQE9iePHrK7VjlabI2Dj6At+khli0CI8aPArXA4Uz2BpskgnG6MnPDMpKsQQ0AufHQMslU3SCBb0pKLJChcD9NrABli0GgHx4fJYtZCXZcaHGaHVBLa6SGp9pSgoRQalvMGC0gYLNAIwgYIFAACdViOWl1EGi/fwTCleSkQ6NDs/Wx/YgSgI7wU3JCYEUSGBO2mUkiExITAH6WF1uMQsF0IG4mip+/0zMiHMa/3azEF6hBjcJ5FSLxPiK+8lRwQFtN1BfLgJGgGwOV2oapZ2ZkFph1XkNAE8iQs36RBq1HUak1R1LN0L5PssxCi9bIyelEmgyTlwToBF4iV8vIdTfHhgP5uANHskdadMAv2kuETxmEnj+4yCUmRQeNBlZEI4QoyBuxojNTxwQs3OvcNid+JYKV/hkYJSHD8WJ8ob0WyV9pVbueDfaZQl1U4QBDFbikr4yGAcK3N/j49O8k7pHuB+f8ql2bkUVpEDAL1WIy4JTsesbwRB6FAqKu0T3xIJ9JPikmRSXtu+ipwUjpk8mp2XSqCfFMcDLFIPGIt9yyRwzBLM0lqIgIJSZFCoIXD3eIkZZUp5x9HSBtidDDGhBrFUg7ivtCSZTXAx4FBRfaCHowhiPyn6TuuEB0Cp2TkZjGOl3u0nxcml309JnTQCLID8jpkUTnzF4KfEj1l7plTgszF4XympBwvEAIsEMljk0iCeZ0pJ6ZhJJcDSE56VlBge+GOWKLHsMgpKkUHZRw2Bu8UzpfIqm9Eo8Tp6OeDlabTCY1ftK6NRAHSwnC6GA7xMlL7TOmkPStH7jAzcMd7kPMm7K6jKpdm5FFZE43iAReonvrxHjDQCeTIJsIjBAikcM3m8z8ok9NmUywp87aW1gT9mPPNTKgGWnpRKqHyPj6FUIseMglJkwKwOJ46WuCeYdALXWUyoEWlRwWAMOEgZLIOWU0TBz55Qs3PvOVnRhBabE6FGHUbEhwV6OJIyIdUMQXD3xJF681UiTdXNVlQ0WiEI7p5S3iSXDBaxFE0CGb9yCeSJfbgkccyCAUj/mPFghpQCLGWSD7BIp6xKNsFPCZXvicdM4iWPPGgmhTJR6ilFFONISSNsTheiQgxIjw4O9HAkh/dgoSbUg9eeKRUR0HFIEW92nlNUL/lVlKSOZwFNSDUHfFUUqQkz6TEizh1IoF55ZCB46V5mdIjXe1DKJcAilf5IgIzK9yR1zOTRh0tKGXmyOWYNEipFk1ivn56USeiYJcgk+CkGpSRQWpsosfcZBaXIgOWIpXsRVFLVDZ7BwrN8yMCU1rehvNECrUYQVzUk7UYnhcOo06C+1Y4z1S2BHo6s8eAnZeR1j/fZoqAUGQheujfKi03OuRQZNDp3uZg4Pin0RpRDc3jGmBhgkUJQKkUGGXmMMUkF8vgYpJzB4nQxVDRKJ+snUS6ZUvXSyfrhgbHKJgscTleAR9M9p4uhvJEfs8AHpXj5XpPFIYnFkigoRQaMVqnqXftqVZTBMhj8BHhUYhiCDbTC47n0Wo0YrKOV0QYnh3rk9So7lfpKkYHzVZNzoP1EsrzBAqdE/97WtNhgc7ggCBCXfA8kOWSX1bbYYLG7TzClkFkgvs8apfs+q22xwcrfZ2ZjoIcjlsOVN1gkOxeubrbC7mTQCEBcWOCPGf9s1rTYYLE7Azya7lnsTtS22ABIo6F+TKgROo0AFwMqm6yBHk63qputcLrc77PY0MC/z0KNOoSZ3OdVUujFRUEpMmCUVdC7UYnhMOk1aGizI7+GMlgGSgx+ptL7rCfZtDLaoNW12MRMMyoT7R7PlDpUXA+7RK9EEulqb3Lu/aBUXJgJOo0AR4eMB6nhwZ/4MBMMusBPv/mJb5PFIdkFWfgxiw0zwqjTBng07e8zp4TfZ7wUJzZUGscsPswIjQDYnQzVzdIMFvCMpPhwE3TawH82zUF6BOndr51USqvOxcf1/7N331FSVNkfwL/VeXLOmThkhgyCBJckIGLAiCDoGtdVjOiu4P50MS+uOYK7umYQVEBRkkqGQXJmmJxz6Px+f3RXzTQTmNDdFfp+zplzoKe6+1V1dc+r2/fe569TI8RPK/JoAJWKE4L9BRLNyuOPmVTOM6AxY0sKx0waR4TITtOSqkFJVFLVEq1ahYEJoQCAA9SEutOE7BXnBTFpboiQlUfnWWfxZbbdogIQ6q8TeTTS1C0yEMEGDYwWO04W1og9HCIjDWYbzpXUAgD6eSBTSq3ihEwaqWb+5EmoYTcABOg1CPV3XExKtUxISqV7gOM8E1askugxy5NQPykA0KhVwspoUn1vFkioYTcAcBwnZB8VSPWY8SvvhRgk08JFOGZSDeQ5j5kUVt7jxUqorxQFpUin8NkrVFLVNqHZOWWwdIrJasMR5wqPlCnVOj5b8WRRjSTqwuWIX71wKGV+tkql4jA4mUr4SMcdyq2EnTlKLKI8VB6TIPGl5/Mq6wFI58IXaGyoLNUeSVJaeY8n9bJHqQXygMZzPl+iTajzmwRYpEI4ZhIIFrREasFPQPorPRZUSaefFC8umF+BT/xjRkEp0ilUutc+fFkVZbB0zrF8WuGxPaKDDUgI9QNjwB85lWIPR5aEz7QU+kxryxBhVVH6TCPtt/VUCQBgbI8Ij32rnhDq+BuRK9EAC39BLqVgAR/skW4gT3oBFn4s0j3PpBdgiZN4wJh/b0orwCLtjDwhu0wCTc55wjGTQClaS/gm57HB0jlmc4Yk4MVrB2Ja/1ixh0JBKdI5+6khcLvwF3CnKIOlU/gMM1rh8dIyKFjQaVabHX/kVgKgz7RLEQLtFPwkHbDtpCMoNaF3tMeeI0Hi5XtSzvrJlegxk2LWj9QDeVIMsPBlVVINFvD9dOIlFMjjXz8p9PppCT8uKSxAwOODUlLI+mmJFAPGo7pFYO7wJPSKCRJ7KBSUIh1ntNhwLL8KAF3AXQqfwWJnwCG6iOswWuGx/YZQsKDTThbVoN5sQ5Beg57RgWIPR9IGJ4UCAC6U1Uu2aS2RluJqI44VVIPjgHE9Iz32PHywQKqlaI1ZP9K5IBFK0SR/zKQTYJF6+Z4Uy6qkXlorBAskdMyE0lqJlqLx45JUppTESx75YJmUAnlS4vGg1FtvvYW0tDQYDAYMHToUv/76q6efknjYkbwqWGwMkYE6JIVL58NIqvhyIOrB0nEHnZlStBrapfHnWWZ2BRiT5rLLUsVn5A1ODoVKRRl5bQnx06KHM3B3kHrluUVH50nbtm3D0KFDYTAY0K1bN7zzzjteGmnn8KV7AxNCEOHBZbD58j3JBgsqHD2l+HFKgdSzfvhgmZQCLPEyCbBIKZDHBy4k21NKgqVoQqaURM8zodG5hAIswkpyUj1mEuwpJSUeDUp98cUXePDBB/HUU08hMzMT48aNw/Tp05Gdne3JpyUe1jR7hUqqLi3DmVlAzc47pqjaiLzKBqg4YFBiqNjDkby+ccHQaVSoqLfgfGmd2MORlcwLlJHXEUJfKQq0d1lH50nnz5/HlVdeiXHjxiEzMxNPPvkkHnjgAXzzzTdeHnn7bXMGpcZ7sHQPcM2UklpgvsZoQbXRUcIvpfK9eAln/dSbraiotwCQ1jGT8nlmstpQXOPIYI2XUrAgVLr9kUxWG0okfsykdp4xxoTXUkoBY77ReUmtCRabXeTRuLLZGYqq+aCUdI6ZlHg0KPXqq69i0aJFuOOOO9CnTx+sWLECSUlJePvttz35tB1itdlRXCPNyL1UUZPzjqEMls7heyP1jg1GgJ5WeLwUnUaFAQkhACgA2lEHhB55oeIORCaG0Ap8btPRedI777yD5ORkrFixAn369MEdd9yBhQsX4uWXX/byyNvG/62z2uz4lQ9K9Yry6HPy3z43WGyodAYzpIIP+oT4aREoob9nfDZNcY0JZqu0LuL4i94gvQYhflqRR9OIz6apM9tQ3SCtXqFFVY7gil6jQniATuTRNOLPs7I6M4wWm8ijcSXVY+ZynhmldZ5VG62oMzteRylll0UE6KBTq8AYhACQVJTVmmC1M6g4INpDK9DKnceCUmazGfv378eUKVNcbp8yZQp27NjR4n1MJhOqq6tdfjzpl+NFGLDsJzzwWaZHn0dJGGPChchQWqWqXZpmsGSV1Ys9HNngeyNRoKD9+GNFqz22X1mtSXhfZiTRZ1p78Bllh3KrYJXYt5Fy0pl50s6dO5ttP3XqVOzbtw8WS8uBGG/PrWx2hj+9ug2PfPUHVv6ehWqjFSF+WqEfmacYtGpEOssDpZb5w5ehSamkCgAiA3XQaRwXcVJrDpwrwdI9APDTqRHhDF7kVkprTsc3Ek8I9ZNUJUOInxb+OjWAxhImqeCPWVyIQVLHzE+nRpi/IxgrtWbn/HhC/bXwc76uUqBScYgJcfwNkNrnGV8iGh1kgEZNLb1b4rGjUlpaCpvNhpiYGJfbY2JiUFhY2OJ9li9fjpCQEOEnKSnJU8MDACSF+6PBYsMfOTSxbq+8ygYU15igUXEYmBgi9nBkoWkGCwUL2o/PlKKMvPZrzGCpFHcgMpLpPFY9ogMR4i+db+OlrGd0IIL0GtSbbThZVCP2cGSrM/OkwsLCFre3Wq0oLS1t8T7enlvtOV+OsyV1+Hp/Lp5bfxyAo8G52gv92vjSqlyJNe4WGnZLqAwNADiOa7ICn8QCLM7+Q1I7ZkDTvlISu/CVYEkV4DjP+ExGqZXwSfWYAY1lXlI7ZgUSbHLOE46ZxIJShc5AXiz1k2qVx0N1F0edGWOtRqKXLFmCqqoq4ScnJ8ejY+sRFYgggwYNFhtOFNLEuj34i92+8cEwaKUTHZc66sHSMWarHYfynCs8UkZeu/HH6mRhNWpN0kr3lioq3es4lYrDIGfWSyYFQLusI/Ok1rZv6Xaet+dWI9PC8eVdo3HrqGShHObaIYkefU5eokR7JEk1UwpoujKatC7i8ir5xvDSPWZ883qpaAywSO/CV6oN4hubT0vvPJNs8LNKwueZRJud86+hFI+ZVHissD0yMhJqtbrZt33FxcXNvuXj6fV66PXeq7NUqTgMTgrFr6dLkZldgf4JlPlzKZS90jmOcpfzQj8u0rZjBdUwW+0I89ciNUI6KxVJXUywAfEhBuRXGXEopxJjenhu+XWl2E+faZ0yJDkUv50pxYHsCtw6KkXs4chSZ+ZJsbGxLW6v0WgQERHR4n3EmFuNSAvHiLRwLJvVD5UNFqGsztOaNqGWklznBVKiJLN+HBdJUjtmUlx5jxcv0aXn8yqlG2CRavBT2oE8aWeXSfE8i3WOSWplooXOHlexwdI7ZlLhsUwpnU6HoUOHYtOmTS63b9q0CWPGjPHU03YYlbt0TOPKe6HiDkRm+PPsRGE16s2UwXIpBy7QCo+dlcE31nf25CKts9rsOJTryMijHnkdI5xn9Lez0zozTxo9enSz7X/66ScMGzYMWq30yk81apXXAlJA0wtfaV3ESTtTyvHFj+SOmURLHgHpBj/511CK55lUM6WkXL7Hj0lqARa+fC9OwoE8qfXhknLwUyo8Wr63ePFifPDBB/joo49w/PhxPPTQQ8jOzsbdd9/tyaftkAwqq2o3o8WGY/mOBqmUVdAxsSGODBY7A/7IqRJ7OJJHTc47Twi0X6DPtEs5UViDBosNwQYNukcFij0cWclwlu+dL61DeZ1Z3MHI2KXmSUuWLMFtt90mbH/33XfjwoULWLx4MY4fP46PPvoIH374IR555BGxdkFS4qVavidkSkkv81cIsEjsmAk9pSQYLEjgs8skd8ykG2ARekpJLFjQWL4nvWABPybJnWdV0g1+xkk1U8o5Huop1TqPrkt7ww03oKysDP/4xz9QUFCA/v37Y/369UhJkU6qP7/a0oWyepTWmrz6jZ7cHMqtgtXOEBWkl2QKutRlJIch/3ABDmRXYHT3lsssiAOViXaesAJfTuUle9P4Ov7LiMHJYVB5oQmzkoT669AtKgDnSupwMKcCk9JbLjcjbbvUPKmgoADZ2dnC9mlpaVi/fj0eeughvPnmm4iPj8e///1vXHvttWLtgqQkSDAoZbTYUFLjWHZeilk/8RIMsFhtdqHcRYrzTT67TErHjDEm6WwMqWYxSjmQlyBkSkntmEm3TJQP5EktKCXl3mVS4dGgFADce++9uPfeez39NJ0W4q9Fj+hAnCmuRWZ2JSb3pYl1a5o2BKYL3Y7LSA7FD4cLqNzlEoqrjcirbICKAwZ6eAlxJeobHwydWoXyOjMulNUjNTJA7CFJVmPwM1TcgcjUkOQwnCupw4ELlRSU6oK25kmrVq1qdtv48eNx4MABD49KnvigT3mdGfVmK/x1Hp/mXhJ/MeKnbVziXUoSmwRYpPJFRmG1ETY7g1bNIUqCXxbz51lJjQlGi00SC/9UN1hRZ7YBkGaAJa5JTympnGe1JiuqjY6WGpLMlHIes8IqI+x2Jokvz+x2JmT9SPKYOcdUWmuC2WqHTuPxNd0uyWZnKKqW7jGTCvFfKQmgldHah7JXumaI0IOlQlgtiTTHvw97xQQhUC/+BYXc6DVq9E8IBkCfaZfC9xKkz7TOofJ3IjUhfloEOf9uSCUjQ+gnFeYniQvxi8WGGMBxjlVvS2ulUYrLH7O4ED9JXIhfLMxfC4PWcQlVKJGMDL6kKiJAJ4kg2cX4i/EGiw1VDRaRR+PAr9AWZNAgyCC9gHFMkB4qDrDYGEprTWIPBwBQVmeG2WYHx0mzFC08QAedRgXGIASCxFZaa4LVzqDigOgg6QXZpYKCUqAeLO3BGBMu4KghcOf0c2awlNWZkV0urWWEpUQIFNB51mmNCzjQZ1prSmtNyC6vB8cBgylTqlP48+yPnErY7BRoJ9LQ2CNJGhckeZWOv/dS7L8CADqNSrhQkko5mpR71gAAx3GSKxWVchkaABi0akQE6ABI6Jg5A4rxEi2p0qhViAnme3FJ4/OMP8+ig/TQqqUXRuA4TnIlfPw4ooMM0EjwmEkFHRk0Xvweyq2C1WYXeTTSlFvRgNJaE7RqDv0TQsQejixRBkv7ZGZTRl5X8Z9pBy5UijsQCeO/hOgZHYhgCX5DKgd8NmOd2YZTRTViD4cQAE2anUtkZbSmmVJSJbV+P3I4ZlJrqi/lflI8YTU5iQSM5XDMhAbxEjnP+P5WUu6N1BiUksYxK+SPmYTPMymgoBSAHlGBCDJo0GCx4UQhTaxbwgdR+saHSDItWC4ykilY0Baz1Y5DuY7VCanPT+fxZVUnCqtRb7aKOxiJotK9rlOrOAxKcnxJQYF2IhWNGSzSyEjOrZB21g8gwUBepfSPGd+AXTrHzJn1I+FjJrUV+PjyvTgJH7N4iQWMpbwqJo/PfMuXTPCT+km1BwWlAKhUHAY7GyrTxLpl1BDYPaisqm3HC6phstoR6q9FGjXo7rS4ED/EhRhgZ8AfOVViD0eSDlBGnlsMoUA7kZgEiQULcp0Xk1JcRY7XWPIokWMmh0BeiNSCBc6sHwlnsMSHSixYIJTvSTdYILVj1pgpJd1jxve6KpRI8LNQaHIu3femFFBQyon6SrVtP13AucWQlFAAwInCGspgaQEfKMhIohUeu4oCoK2z2Ow4lFsJoPE9STqHz8rLpPOMSITUev3kySDAkiixY8YHWKRcvie1QJ7Ue0oBjWVykgvkSfmYSawUTcj6kfAxE1Z6lEhPKf48k3IgTwooKOUk9GBxlnSQRvVmK44XOMoaqfl01/AZLDY7E8rUSCMqqXKfxmBBpajjkKLjBdUwWuwINmjQLTJQ7OHIWkaS4716rrQOFXXSWLmL+DY+WCCFzAKrzS58Sy7lAIuUyvcYY7Io35NeWZX0+yMJPaUkEmDhG1BLOYMlTmrnWRWfkSfh80xigbxCGZxnUkBBKSe+fC+7vF4yy25KxaHcKtjsDDHBekl/CMkFZbC0TmhyTsHPLuP7l2VmV4AxWhmtKaEcOSVMksuNy0lYgA7dnKW2B3MqxR0MIWgMZBRWG0VfvKaoxgSbnUGj4hAdJN35kxDIk8BFXHmdGUaL43WTcmPghCZlVXaRVx91CX5KOJAXJ6FeP4wxWQTyEiSW9VMgg95ljeV7EjlmznHE0jV0mygo5RTip0XPaMc35lTC56pp7xUqqeo6PoOFerC4Kq4xIreiARwHDEykFR67qn9CMHRqFcrqzMgul0bDX6mgjDz3yqBAO5GQqEA9dGoVbHYmXKiLhc88igs1QC3hADh/gVlZb0GdSdzWAnyWVFSQHnqNdBfWiQ0xQMUBZpsdpXXifpldVGOCnQFaNYfIQL2oY2lL04CxTeRAXnmdGSarI/gp5WABX/JVUmOCyWoTdSwWmx1FNXz5nnSPGd9XrbTWLPoxs9kZioSeUtI9ZlJAQakm+AuUTPq21wUfPBlK2StuQRksLePPs94xQQgyaMUdjALoNWr0SwgGQMGCi1GTc/fi+3LReUakQKXihAsmscvR+BUApZy9AgDBBi2CDBoA4pcJ5cugdA8AtGoVYoKlcZ4Jq8iF+Ek6+zcqSA+NioPNzlBSI24gj89eiQyUdvAzPEAHvcZxuV5UJXLws9oIxgc/A6Qb/Az118KglcYxK601wWpnUHFAdJB0j5kUUFCqCWFiTZlSAsaYUFKVQRdwbkEZLC2j88z9hEA79ZUSNM3IG5REGXnuwPeV+iOnSvRvvwkBpNPsnA9WJIb5izqO9uCPWa7Ix0xYeU/CPbh4CRJZGS1PBmVoAKBWcY2BPIkEP6V+zDiOa+xfJnJ5bdMeXFIOfnIc11gqKpFjFh1kgEZNYZe20NFpgr+AO5RbJXofAqnILq9HWZ0ZOrUK/Z1ZF6RrKIOlZY3ZK6HiDkRBhFJROs8ElJHnfr1jgxCgU6PWZMXp4hqxh0NIk2CB2JlS8sj6AZoE8kTPLnMG8mRwzIQG8ZXifsGYL4M+Pzw+CCR2E2ohKCWD5tN82ZfYn2dyWkUuTiLNzoUsRokHP6WAglJNdI8KRLBBgwaLDScKaWINNF7M9ksIlnR6q9wIzc6prxQAR506vxohZUq5D3+eHS+oQb1Z3D4hUkEZee6nVnEY5FwshD7TiBTESyRTSlZZP2ESCeTJ8JiJHciTS8kjIJ1VC4WsHxkECxpXLRQ3I09OwU8+U0rsY9aYXSb980xsFJRqQqXiMJgatrrgLzCo94p7NfYvo/MMAI4XVMNktSPETyus5EW6Lj7UD7HBBtjsTAj6+TrKyPMMWlWUSAkfLMilrJ92k0ogr3HJeTkdM7GDBY09paROKivw8avZyeI8C5FGySOfdSSHAIuQKSXyedZ4zKR/nomNglIXGSKsjEYTawDYf4EaAnsCX1ZFGSwO/PstIzlU0nXqcsT3yqO+UoDZ2piRN4QWbnAranZOpCRRAgGWpkvOyyLrRyrlezLKlJLCedb0+aXeHwkAEkKlVYomh6wfIVNK9GMmo0wpiZSJUqZU+1FQ6iKN3/ZWijsQCagzWXGisBpA4wUHcQ/KYHHFv98o+Ol+fBNqChY0ZuSF+lNGnrsNdp5n50rqUFlvFnk0xNc1LUUTa5XbsjozjBY7OE4e35JLoXyv3mxFRb3FZTxSJpVSNDmV70mmrEpGvX7iJFO+J5/gZ7xEzrPCJs3hSdsoKHWRwcmh4DhHg+/SWnGXkRTbH7mVsDNHdJfeTO5HmQWN+DJGCkq5X2OmVIVoF2dSwWd+ZiSFguMoI8+dwgN0SHMG+jJzKsUdDPF5cSF+4DjAaLGjrE6cICmf8RMdpIdOI/3pNh/QKKw2wiLSYj/8MQsyaBAsg4Uo+IvzqgYLak3iZL3XGC2oNjqeO04GQSkpBPKsNjuKahzXeHII5PHZZWJn5MmpFC1WaHQudvme4/ljKVPqkqT/V9LLgg1a9IgKBEAlfJmUveJR1OzcoaTGhJzyBnAcMCgpROzhKE6/+BBo1RxKa82i91cRW2M/KfpM8wS+LDnTx/92EvHpNCpEB+kBiHfxK6eV9wAgKlAPnVoFOwOKqsW5kMuV2TELMmgRbNAAEO884y96Q/y0CNRrRBlDR/CBPEcmoU2UMRTXmGCzM2hUHCID9aKMoSP4IFCN0Yoao0WUMTSYbUIWoxzK9/hMqXIRzzObnQmfpXLILhMbBaVaQCV8DkI/Keq94hH86l++nsHCBwp6RQchSAbfjMqNQatGv3hHsM/Xs/KEQDt9pnkE/e0kUhIvco+k3Ip6AEBCmL8oz99RKhUnlDKJdczkVIbG419fsY5ZntDkXB4XvSF+WvjrHKt5i5XFwmf8xAQboJZBH9MAvUYIfop1zPgFCAJ0amEsUhbspxHOs0KRjllprQlWO4OKcwT9SdsoKNUCKqsC7HYmBKWG0QWcR/RPCIZOrUJZnRnZ5fViD0c0QvYK9S3zmAxawAH5lQ3Iq2yAWsVhcFKo2MNRJD4odTCnEja77wbaiTQkiNyEWmjYLaMAC59dIPoxk0E/KZ7YpVX8MUuUyTHjOE70Ej6+Ybes3psiHzN+Fbu4UD9ZtD/gOE4omcsXqdk5H0CMCTZAo6aQy6XQEWoBP7E+lFspWl292M6U1KKqwQI/rRp944PFHo4i6TWNx9aXA6CZzvLFDCqp8hjKYAH2OQNyfeOCESCDEgc56hUTiACdGrUmK04V1Yg9HOLj+MCGWGXLeTJaeY8ndrNzuZU8AhIIflbyQSl5ZOQB4mcx5suoyTmvMSglbqaUXDLygCbNzkU6Znwzfeon1T4UlGpB96hABBs0MFrsOFHgmxPrfVmOC7jBSaHQUnTXY/gsNP54+xqLzY5DeZUAgCHObB7ifny52vGCajSYxamtF9v+rHIAwFDK/PQYjVolBJf3+XBWHpGGRJGDBXwwLFFGAZZ4sQMsFfzqXvI5ZqIH8mSYkcePNVfkPlxyaNjN43sSFYiV9SPD7DI+gFYoUo88/jyLl9F5JiaKNrRApeIwONm3l1Hfd8FxATcslS7gPGlYajgA3w1KnSiogdFiR7BBg26RgWIPR7HiQwyICdbDamc4nFcl9nBEwQdJ6DPNs/jju88ZBCRELKIHCyrlVVYFNA3kiZSNIcPsMrGzfhp7l8nnmCWK/N5s7F0mnwwWPoAmWqaU0LtMPucZH5QSbxECypTqCApKtYLP2vDZoJQzSEJZBZ7FX8CdKq5BVb04K2qIiX9/ZSSHQSWDZpNyxXEcMpJ8N9Bea7LieEE1AGBYSrjIo1G24T4eaCfSIWbWT7XRghqjFYC8ggX8WPMqvN/n0mKzCxkNcsouSxC514+sSx5Fbw4vv2MmWiCvSn4lj3HOYyZeQ30+I08+x0xMFJRqxRAfzpQqrjEiu7weHEerVHlaZKAeaZEBYMw3z7W9VFLlNcICDj5YVpWZXQE7c3w7S99YedbgpFCoVRzyKhtEmzwTAjRexFXWW1Bnsnr1ufmL7TB/Lfx18ulh1zSQ5+1VgQurjLAzQKdWIVJGK1Xx51lhtdHrfWhNVhuKa0wA5JWRJwQ/xc5iDJfPMeMDG6KV71XJr3wvVjhmYgel5HPMxERBqVYMTg4FxwE55Q0ocX7g+4r9zm+4e8cEIdigFXk0ysf3ldrrY+UujDFhn/nsCuI5TZude/tiQ2x7nZ9pdJ55XoBeg75xjgUcqK9U2yoqKjBv3jyEhIQgJCQE8+bNQ2VlZZv3WbBgATiOc/kZNWqUdwYsM0EGrbB0ubcvfuW4ihzQeOFrtNhRXmf26nPzr1F8qEFWmdORgXro1CrYmfeXni+oNIIxwKBVITxA59Xn7ooEIYOlAXYvr9RaZ7Ki0lmZIKcAi9DovMro9TkcY6xJ+Z58vtgTGp2LFMjjPw/klF0mJgpKtSLYoEWv6CAAwH4fm1jzF3DUe8U7fLXcJbeiAUXVJmjVHAYnhYo9HMXrnxACnVqF0loTssu9X5ohpv0XKCPPm6ivVPvcfPPNOHjwIDZu3IiNGzfi4MGDmDdv3iXvN23aNBQUFAg/69ev98Jo5SnBuSKZt8uE5FhSBQAGrRrRQY4sJW+vWpgvBKXkdcxUKk646PR2dmjT84zj5BPIiwk2QK3iYLExIdPLW/hjFmzQIEhGX7zHhhjAcYDZakeZlwPG1Q1W1DsXyZFT1g//vqyst3h9kR+bnQnlyHIK5ImJglJt4CfWvpbBwl/AUVaBd/Dn2cHcSpisvrMyGv++6p8QAj+dWuTRKJ9Bq8bAxBAAwJ7zvvOZZrXZkZldCYAC7d7iq4H2jjh+/Dg2btyIDz74AKNHj8bo0aPx/vvv4/vvv8fJkyfbvK9er0dsbKzwEx5Of6tbkyBSX6nGYIG/V5/XHZLCHWPO8XJfKTmuIscT7TzjV3gMk9d5plZxiA12XKjnVXr3PGtsDC+vY6ZVqxDlLGsVK/gZ5q+V1Xw9SK9BgHO83s6WKq01wWZnUKs4RAdRUKo9PBqUeu655zBmzBj4+/sjNDTUk0/lESPSHBM9XwpK1ZutOJrvaAhMWQXekRYZgIgAHcxWO47kVYs9HK+h0j3vG+6Dn2nHC2pQb7YhyKARsl+JZ/ElyScKq1Ft9L0FHNpj586dCAkJwciRI4XbRo0ahZCQEOzYsaPN+27duhXR0dHo1asX7rzzThQXF7e5vclkQnV1tcuPr+BX1/J21o9cy/cAIMk55pxykQJ5Mjxm8SI1oc6V8THjxyzWe1NOPbh4jeeZd8tE5fre5DhOtGbn/PNFB+mhllE5spg8GpQym824/vrrcc8993jyaTyGv1g+ml/t9SaZYjmYUwmrnSE22CDLb6vkiOM4IQDoS+Uu1OfH+0ak8kEp38lg2dekdE9OfUrkLDrYgORwf9gZhCw14qqwsBDR0dHNbo+OjkZhYWGr95s+fTo+/fRTbN68Ga+88gr27t2LSZMmwWRqvQRm+fLlQt+qkJAQJCUluWUf5ECsrJ9cmZbvASJmSsn4mImVKSVk/cjwmCWKdcxkfJ7Fi1Um6jzPEmWY+RknUrPzAhn24BKbR4NSzzzzDB566CEMGDDAk0/jMfGhfkgI9YPNznxmZbT9TfpJyak+Xe6G+1iwoLzOjDPFtQAasyqI5w1JCQPHAedL61BcI85qJN62j4KfovDVvlLLli1r1oj84p99+/YBQIt/Yxljbf7tveGGGzBjxgz0798fs2bNwoYNG3Dq1Cn88MMPrd5nyZIlqKqqEn5ycnK6vqMykcwHWLzcR0+4iJNZZgHQOGavHzMZBwsag1JezmCRcdaPsAIfZUq1m1iNu+WaKQU0CUp5OZBHK+91nHzWqRXJiLRwrMnMw97z5RjXM0rs4Xgcv1oSBQq8i7+A23+h/JIXJUrAX6j2jA5EmIxWjJG7ED8t0mODcbygGvuyKnDlgDixh+RRjDGXTCniPcNTw7H6QJ7P9ZW6//77ceONN7a5TWpqKg4dOoSioqJmvyspKUFMTEy7ny8uLg4pKSk4ffp0q9vo9Xro9fp2P6aSJEc4glLeXNyhzmRFaa2jETGfdSQnSc5eO94sq2q6upccL3wbAyziBPLkGGARv9+b/I5ZXJMV+LxJ1scsRJxjxgcOYylTqt0kFZQymUwuKehS6HswPNURlNrjA9/22uwMB/igFGUVeFW/+BAYtCpU1FtwtqQOPaIDxR6SR/E9jeg8877hqWE4XlCNPefLFR+U4ld41Kg4DEoMFXs4PmW4M9CemVMBi80Ordo31lWJjIxEZGTkJbcbPXo0qqqqsGfPHowYMQIAsHv3blRVVWHMmDHtfr6ysjLk5OQgLk7Z7+XO4gMslfUWVDVYEOLn+dW2+LK3ED+tV57P3fhAWl5FA+x25pWy57I6M4wWOzhOnpkFCU16/Xjri0WrzS5kY8ixob74mVIyPGaile/JN2DMlzwWejm7jO/7ReV77dfhWWJHUtM7Sop9D0akOSfW2ZUwW+0ij8azThXVoMZkRYBOjfRYagjsTTqNCoOTQgH4RrkLX6bIv7+I9zSWiir/POOzpGiFR+/rFhmIUH8tjBa7sHgGadSnTx9MmzYNd955J3bt2oVdu3bhzjvvxMyZM9G7d29hu/T0dKxZswYAUFtbi0ceeQQ7d+5EVlYWtm7dilmzZiEyMhJz5swRa1ckLUCvQWSgIxvXW+Vo2WWO50mJkN9FL+C4iFKrOJhtdhTXtN6rzJ34i97oID10GvkFsPlsiAaLDRX13lncoajGsbqXVs0hOkh+mZBNM6UYY155TqPFJpzTcgyw8AHbAi+XiebKeGXM2JDGgLE35VbKN/gplg5/8t9///04fvx4mz/9+/fv1GCk2Pege1QgwgN0MFntOJxXJfZwPIov3ctIDoPGR77VlpJhKb7RV6rebMUR53uJ32fiPfyqoscLqlGj8JXR+PcSlSN7n0rFCcfdFwLtnfHpp59iwIABmDJlCqZMmYKBAwfiv//9r8s2J0+eRFWV4/NSrVbj8OHDmD17Nnr16oX58+ejV69e2LlzJ4KC6Iuk1iR5ua8UXyoox9I9ANCoVcK3+95qds6XB8XL8KIXAAxaNaKcgSFvZbHwgby4ED9ZLuLBv9b1ZhsqvRTI4zPL/LRqhPnLL4uRP2ZFNUZYbN5JlGgw21BW5yxHlmGAJaHJypjeCn4C8u5dJpYOl++1NzW9M6TY94DjHBPrn44VYW9WuaL7kvAXDkreRykTGgNfUPYFHL/CY1yIgT6sRRDjXBktu7we+y9UYELv5iuAKUXjwg0U/BTDsNRw/Hy8GPuyKnDHOLFHIz3h4eH45JNP2tym6STaz88PP/74o6eHpTjJ4f7IzK70Wl8p/nmSZRqUAhwXn7kVDcgpr/fKIhE5Cjhm8aF+KKkxIbeiAf0TQjz+fLkybqYPOAJ5kYF6lNaakFfZ4JX+ok3L0OTYuzUiQAedWgWzzY6iaqNXsnD4gHGgXoNgP0l1/WkX/v1RY7KiusGKEC8EI40WG0prnRl5Mg20i8Gj6TDZ2dk4ePAgsrOzYbPZcPDgQRw8eBC1tbWefFq34zML9p5XdrCAVqkSF78y2oWyekWvjLb3fGOgQI6TAiXwhRK+qnoLThXXAKBAu1iGNwm0e/MbSkKa4gMd3g5Kpcg4wJIUzq/A552snwsKCEolNsnI8IY8GZdU8fgSOm811c+rdJxncj1mKhWHOKGvlHeuE5o2OZfjnN0R/HQEPHMrvZv56a9TI1SGGXli8WhQ6umnn0ZGRgaWLl2K2tpaZGRkICMjo9M9p8QiBKWyymG3K3NiXVDVgLzKBqg4YHByqNjD8UnBBsfKaEBjhocS8ZlgI1IpUCAWvpcXHyBUogPZFWAMSI3wF8oqiHf1TwiBTqNCaa0ZWWXeXZWKEF6SSEEpOQdY+DIdb5XvKSNTyhEs8NZqcnkyXq2Ql+jlFfiUUFLFB9RyvVVaK+Mm57wEL68o2vQ8k2MgTyweDUqtWrUKjLFmPxMmTPDk07pd37hgBOjUqDZacbKoRuzheASfJdUnLhiBevmlZyoFn1mg1L5SVpudVniUAD5T6mBuJUxWm8ij8Qw++EnnmXj0GjUGJTrKWJSclUekLdmLPaVsdoZcZ3aRXHtKAeL14ZJzUEpo3O21rB/lZEp565jlKiGQ5+XsMj74JefzLDHU2xl58n9vioG6WbeDRq3CkBQ+WKDMiTXfT4oaAouLLzNSal+p4wU1qDPbEGTQoHcMNeYVS1pkACIDdTBb7TiUq8wFHKjJuTTwQUElZ38SaeMDHbkVDbB5ONu9qNoIs80OjYqT9VLgfPmeNy7irDa7EJRIlumKhUBjE+p8Ly09L/eG+kDTFfi8E/yU8ypyPCGL0UsBY0Vk5Hk5+KmE7DIxUFCqnfjMgj0K7Su127lfI7tFiDwS38afZ0fzq1Fnsoo8Gvfb0yT4KcfVYpSC4zhFf6YZLTYczKkEQJlSYhOyPxUaaCfSFxNsgE6tgtXOUODhgAEfKEgM85P1Ksb8hW9BVYPHV/kqqDLCamfQaVSICZJvIM+bWT9NA3kpMg7kebt3mRLK94QsRi+X78n5mDX2LvNW8JPPLpPve1MM8v2L6WVNGwMrrWFrRZ0ZJwodZYl8/ywijvhQPySE+sFmZ8JFtZLwGXnD6TwTnZKbnR/MqYTZakdkoB7dowLEHo5PG5rsOM/OldShpMYk8miIL1KrOOGCytN9pZSQvQIAUUF66DUq2JnnG3dfcPabSwrzk/WXVYnOC9CyOjOMFs+WxSslkNe0tNbT11ZWmx2F1Y7m4N5Ytc5TvB7IU0ApmpAp5eV+b3IO5ImBglLtlJEcCq2aQ1G1yWsfBN7CZ6/0iA5EZCA1BBYbn1mw+1yZyCNxL8aYEAChFR7Fxweg92dVeLykxdt2n+MzP2mFR7GF+GuRHuso1VViVh6RB2/1SMouk39vJMCRTctfUHl6zquEflIAEOynQYBODcDzZY9C8FPugTxncKjGZEVlvcWjz1VUY4LNzqBTqxAl42udRC9mMVpsdhQ5A3lyLkVLFKnRuZyPmRgoKNVOBq0aAxIcDVv3KCyzQLiAo+wVSRjlLKHcdU5Z59n50jqU1pqh06gw0Nn8mIiHX9SgxmTFicJqsYfjVrvPOwK6o6gcWRL414F/XQjxtmQvrcCnlAAL4L0yIf6YpUTIO6uV4zgkO/chu7zOo891QSHBT4NWjZhgR4DI0+/NXOfjx4UaZB3IiwrUQ+fMYiysMnr0uQqrjLAzQKdRITJAvoE8PsurqsGCGqNng5+Wphl5Ms4uEwMFpTqALznaq7Bve3c5M3Kon5Q08BdwB3Mq0WBWzspofJbUoMQQ6DVqkUdD1CqucQEHBX2mmaw2HMh2NNUeRYF2SWgMtFNQioijMSjlnQwWOff54XmroTIfwJF7ySMApDj3gQ8aeYpSAnmA9wLGFxQSMFapmmYxevaY5TRZeU/OgbwAvQZh/loAni/hEwJ5ahVVH3UQBaU6YIQCe7BU1Vtw3JklQRdw0pAS4Y/YYAPMNjsys5WzYhWf+UV9y6RjBN+EWkErox3KrYLRYkdEgA49ogPFHg5BYxbuqaJalNZSXynifUleuvDNUUhPKaAxsHaBssvaLSXSW0Ep5QTyvPXe5EtrFRUw9nAWoxKanPOEZuce/mIit0npnpwDeWKgoFQHDEsJB8cB50qV07DV0bgd6BYZgOhg+TZLVBKO4zCqm+MiTimZBYwx7Dzr2JfR3SJFHg3h8b29dp9XzgIOu4XMT+onJRVhATrqK0VEleyFnlK1JivK6swuzydnqc4snKxSz5aiKSlYkBLuOGYXyjx8zPhMKQWcZ954bwLKCn56q9m5Epqc8/iFCDydKaWkY+ZtFJTqAEfD1mAAyumNwe/HyG6UvSIlSusrlVVWj8JqI3RqFYY6S8aI+AYlhUKvUaG01oSzJbViD8ctdp/ne+RRObKUUAkfEVOyM+BRXmdGVYNneorwwZXwAB2CDFqPPIc3pUY2BqU89aVFZb0Z1UYrgMbsDzlL9UJ2GWOssaeUAgJ53i/fk3/JY2Pjbu9kSikhwCJkStExkywKSnXQaOfEesdZZUys6QJOmpTWV4rPkhqcHAo/HfWTkgqDVo1hzhK+nQr4TLPY7NjnLEWkQLu0KC37k8hLoF6DqCBHfw9PZf5kK6h0D3AEC1QcUGe2ocRDZbf8MYsK0itibsAHiXLK6z22qq2jWbNyAnleW4TAmb2mhIy8xvI9z2b9XFDQZ1qiEJTydKaUsw+XAkoevY2CUh00prsjWKCEC7hqowVH8qoA0AWc1Citr9TOc3zpHgU/pUZJgfZDuVVosNgQ5q9Fr+ggsYdDmhjh/OLjVFEtyqivFBFBN2fmz7lSz2SFnncGu5RQUgU4VtziL6yySj0TMFBSGRoAxIX4QadWwWJjKKjyzMUvnyUVrZRAnvO1z69sgNlq98hzVBstqKh3ZEgqIcDSWL7nnT5cSsjI4zOXPF2+l0uZUp1GQakOGtEtHCrOMfnI9/CJ7Wm7z5XDzoC0yADEhdCbR0qU1FfKpZ9UdwpKSc3o7o4eXzvPlcHuoW92vWXn2VIAjsxPajApLeHUV4qIrFuUY+GDcyWeyZQ65yyB7h6lnAUWPN1XSihDU0CgAHCsapvoDBh4qtm5klZ4BBxZcgatCnYGj11X8cGVyEAdAvUajzyHN/GZUsU1JhgtnqmmMFpsKKw2AlBG0Lix5NE7PaWU0Bze2ygo1UHBBi0GJIYCkH+21O9nHBdwYyhQIEl8Cd9OmQelzpY4VtzSa1TISA4VezjkIgMTQxCgU6OyyUqccvX7Gcd75bIe9JkmRaMUlJVH5KcxU8pDQSnn43aLkn/PGh4flDrvocbdSlqtkMdfwHs6KKWUY8ZxnMdL+JTU5BwAQv21QnDNU0EW/r0ZqNcgPEDnkefwJj7rs7zOjHqz1SPPYbczFFQaXZ6PtB8FpTpBKOGTebBghzOr4LIetBqaFI1xZrBkZleizuSZD1Bv4IO3Q1PCoNfIP9VcabRqFUakObLy5BxobzDbsP+Co9SVPtOkif/b+bvzbw8h3sQHizydKaWooFSkZzOllJb1AwApEZ5dgU9YrVABDbt5ng5KKS0jj+O4Jj2SPH/MlLCScYifFkEGRyAvz0OBvOIaE8w2O9QqDrG0on2HUVCqE5r2lZLrMurFNUacKqoFx1GfH6lKjvBHUrgfrHYm63IX6iclfXwAVM5BqX0XymG22REXYkBapHIm60oyqnsEVJwjKCD38nciP3z53vnSWreXKlfUmYWeNUr6/EmLdFzEn/dQUErow6WooJRnM6UulDuOWXKEcjIx+KwvT/VIyhaOmXLem4kebnZ+QYEB48Zj5pnzLMsZiE4M84NGTSGWjqIj1gnDUsKhVXPIq2zw+GoRnsJffPaNC0aYAtIylWqsM+PjtzPyzCyw2xl2nXME1KiflHTxr83u8+Ww2jzTaNTT+NK9Md0jFfGtnhIFG7QYlBQKoLF8nBBvSQzzg0bFwWixC71S3IVvnh4fYoC/Tv49a3ipQtZPvdu/hK0zWVFQ5XgdukUqrw/XBQ9dH+SUO4IQyZQp1W5Ka6gPNDY7z/XUMSvjA3nKOWbJzmOW7anSWoVl5HkbBaU6wU+nRkayYxl1ufbG4C8IqMxF2vjXR64XcMcKqlFeZ0agXiNcjBLp6RsXjBA/LWpNVhx2rsgpN43lyBT8lLLLusv7M43Il1atEi6w3F3Cd7aE7yelnOAK4MhgUas4NFhsKKp276qZfJZURIBOUV+OJguZUnVuD+SZrDbkV/FBKeVc+HqtfE9BAZYkD2f9CJlSCgp+Cgs3eCgoxWdKKSm7zJsoKNVJfAmfHDNYGGNNsgroAk7KHFkfwInCGhTXuPebXW/YfroEgKPBsZZSWSVLpWpc7VGOwYKqeosQTKNAu7RdJmR/yrf8ncgXn5HDZza5y7kS5TU5BxyBPL53jbtL+M4qsAcX4MjIU3FAvdmG0lqzWx87r6IBjAH+OjUiAxUUyOODUh7IyDNb7UK5uJIypZI93VC/THnle57u98YH8lIVVCbqTXSV2Eljm2Sw2GS2jHp2eT3yKhugVXNCg2MiTeEBOvSLDwYA7Dgjv6y83047AhzjelKgQOrG9YwCAGw/Lb+g1M5zpWAM6BEdiBhqLilpQ1JCYdCqUFprwqki9wYGCLkUTzU7F5qcK6ifFK8xu8Az2WXdFZZdpteoERfiCOS5++KXfw2U0nyax/f6qTFZUdVgcetj51U2wM4Ag1aFqCC9Wx9bTE0XIXB3IM9mZ0IGlpIy8lI93O+Nyve6hoJSnTQ4KRRBBg0q6y04IrNyFz5LKiMpTFG9D5TqMpn2lWow27Avy7EaGgWlpG98L0dQ6sCFCtQY3Tsp9DT+M+0yyvyUPL1GjRFp8s00JvLGB43OuTnrh388pZXvAY2N2929Ap9SM6UAIDXSMxe/Z4udgbxoZZ1nfjo1YoIdASN3Z+TxJYFKC+Qlh/tDxQF1ZhtKatxbWltQ1QCLjUGr5hAfqpyG+inOz7Kcinq3909ljAlB41QFfjnhDRSU6iSNWiX0xth+qkTk0XQMP14qc5GHpll5cip32X2+DGabHQmhfopajUipksL9kRrhD6udyW4VPj64MYY+02RhrLPv1w4KShEv44NGfGaTO1htdiEjRpEBlgjPrMB3TqGZUkBjE3J3Z0rxgTwlHjOhtNbNWYxCw24F9UYCAJ1GJaxa6O4gO5/xkxTm6CmnFHHBBug0KlhsTFhkwV0q6y2oMVoBUKZUZ1FQqgvG9XIGpU7LJyhlsdmFnjETekeJPBrSHsNTw6HTqFBQZRTS3eXg1yale0r6dkrJ+BK+X2VUwnehrA7nS+ugUXHUI08m+C9Edp0rg9kqz9Ue3eG5557DmDFj4O/vj9DQ0HbdhzGGZcuWIT4+Hn5+fpgwYQKOHj3q2YEqCP8FSV5lA4wWm1seM6fCkVVg0KoQH6KcrAKeUCbkxgCL3c5wvpTPlFJegIUP5Lk7WHCmmA9KKSvAAjQprXVzv7cLCuyNxBNKa918nvG9kZTUGB5w9E/lA0buLkfmj1lssAEGrdqtj+0rKCjVBZc7L+AOZFfKptwlM7sSNSYrwgN0GJAQIvZwSDsYtGoMT3Ws9iinrDy+n9RYKt2Tjct78X2l5HOebXO+J4alhiHIoBV5NKQ9+sQGIzJQhzqzDfsulIs9HNGYzWZcf/31uOeee9p9nxdffBGvvvoq3njjDezduxexsbGYPHkyampqPDhS5YgM1CHIoAFj7iut4rOuUiMCoFJQVgFPKN8rq4fdTT1U86saYLTYoVVzSApTXiCvh7O8jg8iuQufKdVDYeV7QGP2F1+i6C5ZCu7zw7833Z3FKATyFHjM+ICxu1fg47MilRbI8yYKSnVBUrg/ukUGwGZn2CGTcpdtp4oBOLJXlDh5UqoJvaIBAFtlEpQqqjbiZFENOK5xCXgifaO6hUOj4nChrN5jq5O427aTjvfEeOd7hEifSsUJAVD+9fNFzzzzDB566CEMGDCgXdszxrBixQo89dRTuOaaa9C/f398/PHHqK+vx//+9z8Pj1YZOI5zewmfksvQACAh1A86tQpmqx25FQ1ueUw+6zs1IgAaBa7M2zM6CIAjU8pdiyGV15lRUe/4ApwvdVMSvk/WWTeW1gKN73Mlvj8bs8vc3YeLD7AoLyNPWIGPAnmSo7y/BF7GN3CWSwbLVuECjkr35GRiuuP12nWuDA1m95QceBJf/jUgIQRhAcpZtljpggxaDElxZuXJoITPaLEJXwjQZ5q8TOjtCCJuOVks8kjk4/z58ygsLMSUKVOE2/R6PcaPH48dO3aIODJ54Zudu+vi91ypcht2A44eqnzA4GSRezLyzim4yTkAJIT5waB1BPJyyt2TkcGfrwmhfvDTKa88iH9fXihzXxNqs9UulFUpMbuMMqU6zlOZUtTkvOsoKNVFTctdpN6EurjGiKP51QAae8cQeegeFYiEUD+YrXbsPCf9YMGWE44LzQkUKJCdy2UUaN+XVYEGiw3RQXr0iQsSezikAy7vGQkVB5wqqkV+pXuyL5SusLAQABATE+Nye0xMjPC7lphMJlRXV7v8+LJeMY7PihOF7gmw8Fk/Sg2wAEDvGMcF/Sk3BaWU3LAbANQqTti3024q4TvL95NSYHAFcATb9BoVzDb3ZeRllTky1QL1GmF1PyXhe0pll9W7LSOPMSY0OldiHy4hU8rN1QDZCi4T9RYKSnXRqG4R0Ko55JQ3uD1S7W6/nnIEM/onBCMqSHkfzkrGcZyQLbXlhLSDBRabXQhoTOoTc4mtidTwgfYdZ0phsko7K48vRx7fK4qa6ctMqL8OGcmOrLytCirhW7ZsGTiOa/Nn3759XXqOi891xlib5//y5csREhIi/CQlJXXp+eWOD2AfL+h6cI4xhtPOQE2PKOUGxnvFOvbtpLsCecV8IE+ZARagMTPndLF7jhnfn6qHQo+ZStWktNZNzc7PNAnkKXGOEB/qB50zkOeuL3cq6i2oMTlWkUtSYICFD+RdKHdfjzz+8Zo+Puk4Ckp1UYBeg5FpjhWffjku7TIEviEwlbnIU2NfqWJJZ+XtzSpHjcmKyEAdBlIzfdnpHx+CqCA96sw27Dkv7SbUQjkyrSQqS3wmpZJK+O6//34cP368zZ/+/ft36rFjY2MBoFlWVHFxcbPsqaaWLFmCqqoq4ScnJ6dTz68UfeOCAThKXrq6Al9RtQkV9RaoVRx6xigzWAAA6c6glLsypfiggxJXkeP15JudF7kpU4rPLotW7jHjsw3d1exc6YE8tYpz+0qPTctElbiKXHyoARoVB7PVjsJqo1ses85kRUmNCQA1Ou8KCkq5wRV9HMGCn48XiTyS1lltdvx6mhoCy9mYHhHQqVXIKW9we1NDd9p8nM9eiaZm+jKkUnGY5Oz3I+VAe15lA04X10LFAeN6UFBKjvi+UjvOlMJsdU8PEbFFRkYiPT29zR+DwdCpx05LS0NsbCw2bdok3GY2m7Ft2zaMGTOm1fvp9XoEBwe7/PiyqCA9wgN0sLOuB1mOFVQBcARXlHgBx+NLHs+W1MLSxX4/NUYLiqodF3DKzpRyHLMzbupddlbhDfWBJivwuemYCUEphZY8Ao2ZOVluui44XaTsY6ZRq4QMsCw3lfBlO7OkQv21CPGjVaA7y2NBqaysLCxatAhpaWnw8/ND9+7dsXTpUpjNZk89pWj+5CxR2nehAlXOlTGkZv+FClTUWxDip0VGcqjYwyGd4K/TYGS3cACNPZukaLMz64EP1hL5aRpol2pW3i/OLwGGJIchxJ8mAXLULz4YkYGOrLx9WdLOyvOE7OxsHDx4ENnZ2bDZbDh48CAOHjyI2trGC7L09HSsWbMGgKNs78EHH8Q///lPrFmzBkeOHMGCBQvg7++Pm2++WazdkB2O49xWwnfM2aeTz75SqoRQPwTo1LDYWJcvfvlWF5GBekVfwPEX9WeKa7tcJmS02JBT4bjwVXZQyrmaXImbM6UUGmABgLQo9zY758tNeyr4mPG9si64qdk5358qhUr3usRjQakTJ07Abrfj3XffxdGjR/Gvf/0L77zzDp588klPPaVoksL90SsmEDY7w9ZT0gwW8Flck9KjoVXg8ru+QuorVmWV1uFcSR00Kg5jnQ2zifyM7RkJnUaF3IoGtzVpdbdNxxyfaZP7Ut8yuVKpOExwll7+LOGsPE95+umnkZGRgaVLl6K2thYZGRnIyMhw6Tl18uRJVFVVCf9/7LHH8OCDD+Lee+/FsGHDkJeXh59++glBQcrtZ+QJfWIdQaTjBV3NlHIGpeKVHZTiOK6xr1QXs8tOFCj/ohdwXPhq1RzqzTbkV3Wt38/50jowBoT4aREZqNwVjd2ZKWW3M6FMVMlBKX7VQndVUPCBPCWXIwvZZW7KlFLyaoXe5LHoxLRp07By5UpMmTIF3bp1w1VXXYVHHnkEq1ev9tRTiuoKZ7aUFCfWjDG6gFOIPzkzWHafK5dkVt5mZwbX8NRwBBuU+w2o0vnrNLisu6NXnhTLkquNFuw6VwaAPtPkjs80/ulYoWSz8jxl1apVYIw1+5kwYYKwDWMMCxYsEP7PcRyWLVuGgoICGI1GbNu2rdM9qnxZehwflOpaphQf1Oobp/z+ib2dJXynutjs/Gi+I8jaT+GBPK1ahTRnwKCrX+40rlYYoMiG3Tz+eJXVmVFZ37XKmrzKBhgtdujUKiSF+bljeJLk7vK9xuwy5X7RIWRKlbonU4rP7EuNpEyprvBqykxVVRXCw8Nb/b2cly3mgwVbTxZ3ud7e3c4U1yKrrB46tUpYWYvIU0pEANJjg2C1M/xyQnrBgi1UuqcYfKBdin2ltp4sgcXG0D0qQNE9SXzB+F5RMGgdWXnH3LAaGiHt0bR8r7PB0FqTVfimnX88JeP7SnU1U+qos+SxX4Kyg1IA0NN5YX+2q0GpYuX3kwIci0fFhzh67p3tYgkfH1xJiwyARsEVInz5Xm5FfZdXTK4xWlBQ5Wj+reTsslQhu8w9lQCnfKDk0Ru89i49e/YsXn/9ddx9992tbiPnZYsHJ4UhPECHGqMVeyXWG+MnZ5bUmB4RCNRrRB4N6aopzsyQH48WXmJL76qqt2DnWUf2Ch/QIPI1Kd0RWDyQXYHyOmn1AmzM/IwVeSSkq/x0aozr6fiy5Kej0gu0E2XqER0IjYpDtdEqXIR11MnCajAGxATrERGod/MIpae3sAJf5y/k7HYmZKf1i1d+dll350Xq6S6uwHdGWHlP+Re93dxUwucL/aQAICpQj0C9BnYGZHexRxJ/zGKCld3vjQ+wnyup6/IiK4wxYYVN/nFJ53Q4KLVs2TJwHNfmT9N+CACQn5+PadOm4frrr8cdd9zR6mPLedlitYrDRGe/H/6CSSqodE9ZpvRzXIhvO1WCBnPXvhVxp03Hi2C1M6THBgkp2ES+4kP90DcuGIxJq4TPbLVjq7NMlD7TlGGq8zPtJ4n97STKpdeohayTzpbwHRNK95Sf8QM0XnBlldXBaOnc3COrrA51Zhv0GpXQC0fJ+MwJvnl0Z/HnaC8F9/nh8c3O3RWUUnogj+M4YR+7EjAGGstMeyq4dA8A4kMMCNRrYLWzLveVKqgyosZkhUbF0bVPF3U4KHX//ffj+PHjbf407W+Qn5+PiRMnYvTo0XjvvffafGy5L1s8pZ/jAmnjkcIur7ThLsXVRhzMqQTQ2LuDyFu/+GAkhPrBaLHj19MlYg9HsPFIAQBgWn/KXlGK6c7Xcv3hApFH0mjXuTLUmKyIDNQjIylU7OEQN7giPRpqFYfjBdXIKXdPjwdCLoUvuTvRyR5Jwsp7Cu+NxIsM1CE8QAfGGi/4O4ov3UuPC1Z0SRWPbxZ9uri202Wi9WarEKDpn6D87DI+s6mrvcv47DKlZ0oBQJ9Y96wm6ivZZRzHCe/Nk108z045y5lTIwOg0yj/M82TOnz0IiMjkZ6e3uaPweCoB87Ly8OECRMwZMgQrFy5EiqVsl+s8b2iEKBTo6DKiExnIEhsm5wZDoOSQhETbBB5NMQdOI4TAqA/SqTcpcZowfZTpQCA6f3jRB4NcZcrBzpey9/PlEqmsX5j5mc0VCrlNnz1JWEBOoxIdfSblFpZMlEuvtl5Z3uZ8ffr4yOZUhzHCZk6nb2QO+IjTc55aZEBUKs41HShTPRYfmOZaHSQ8ufxfZ1lnXwAszMYY40BFoX34QIaP4NOFHYtKHXaGWBR8sp7PH7hhtNd7JF3WijdU/4x8zSPRYny8/MxYcIEJCUl4eWXX0ZJSQkKCwtRWKjcCadBq8afnOUkUsks+P4PZ/ZKP8peURK+3OWXE0WwSqCx/uYTxTDb7OgWFUAfzArSPSoQ6bFBsNgYfjom/me31WbHhiOOcUyhflKKwgfaqa8U8ZY+XViBz2ZnOOm8APSV8j0ASI917GtnAwZ8dpmvBKX0GrVQ9ngot7JTj3E4zxHIG+ADWVKAI4OR44DiGhOKazoXyCutNaOqwQKOA7pFKb+kqvGzrIsBFh8K5Llr4QY+U0rpJY/e4LGg1E8//YQzZ85g8+bNSExMRFxcnPCjZFcOcOzf+sMFopfwFVcbseu8o/H0zIHKPu6+ZnhqOMIDdKist2CHs7m4mDY6AwXT+8cqerliX9T0M01su8+Xo7TWhFB/LS7rESn2cIgb8YH2vRfKUdjJjAJCOoIPjJwvretwJuj50joYLXb469RIiVD+RS9vsLNk+kB2RYfvyxhrXHnPB5qc8wYlOvb1j9yqTt3/SJ5vHTN/nUbo99bZ4OdRZ0ZeWkQADFq128YmVfwiBHmVDZ3Oaq83W5Fb0QAA6OkDDbvdsXADAJwqpibn7uKxoNSCBQvAGGvxR8mkVML3w+ECMAYMSQ5FUri/qGMh7qVWcUK/n7UH80UdS73Zii0nHY2nqXRPefig1G8SKOFb5zzXp/ePo9p9hYkP9cPw1DAwBnx/SNzPNOIbIgP16BYVAMbQ4VWT+ayX9NggqH2ojHhoShgAx0V/R5udF1YbUV5nhlrFIT3Wdy7gBjkDeX908prgiI9lSgFAf2fA+Ghe5wJ5h5wBwIGJvnHMQvy0SAj1A9D5Er5zJY6G3xEBjt5xSseXKHZl4QbHynuOTCmqEuk6mtW7mZRK+L77wzGxnzUoXtRxEM+4OiMBgKMHS2c/UN1h84liGC12JIX7+UxKvi/pER2I3jHil/CZrXZscDbTv4o+0xTpqsGOz7RvD+aJPBLiK0amOXqZ7elgUGrXOUeG8nDn/X1FYpgfIgP1sNiYECxpr6POjJ/uUb6RvcLjAyOHc6s6XEHRYLYJK/f5QpNzHr+vfJZYR/FBqQGJoe4akuR1pRwZaFwhUulNznlRgXqE+Wu7tHBDXmUD6sw2aNUcUmnlvS6joJQHSKGEL6e8HgeyK8FxwIwBlL2iREOTw5AQ6odakxW/HC8WbRxrDjguIK8aFE+lewrFf6b9IGKgffupElQbrYgO0mOEj10I+ooZA+KgUXE4klfd6UkiIR3Bf5bsPt+xoNROZ1BqdLcIt49JyjiOw9CUUADA/gsdK+HzxdI9wFHWY9CqUGOy4nwHl58/XlgNO3Nk9cUE6z00QunhzxG+MX5H8ZmMg3wkUwpoXE20s32l+DI2X2hyDvALN/AlfJ07ZnyT87TIAGh9YDVRT6Mj6AHje0UhSK9BQVVjTydv4y8eR6VFIJpW3VMklYrDVYMdGSNrRcosKK01YeupEgDAnIxEUcZAPG/WIEdQ6tfTpSiuFqffz3fOkq6ZA+N9qlzGl4QH6DCup6NX2Lo/qISPeN6INEdQ6UheFepM1nbdJ7eiHjnlDVCrOAxL9b0AOV/C19G+Ukd9bOU9nlatEoIsHS3hayzdC/apL/36Os+R3IoGVNabO3TfwiojimtMUHGNj+MLuroCH3+u8YsZ+AK+r1Rnm50LTc6pn5RbUFDKAwxaNWY6L+K+3pcryhj43itUuqdsVzvLXbaeLBGl38/ag/mw2RkGJYX6TMqvL+oWFYghyaGw2RnWZHo/ANpgtmHTMceqbHyAjCgTX5a87mCe4ntQEvElhPohIdQPNjtrd5Bl1zlHVtXAxBAE6jWeHJ4kDUl2BKX2X6hs93vUbmdCiSTfLN2XDHKWkR3qYLNzPlDgS6V7gKNHUrKzF+6xDjY757OkesUEwV/nO+9PPih1sqgGtg5W6djtDAedAVNfen/ywaRThV3LLutFK++5BQWlPOT6YUkAgPVHClBj9G6w4EheFY4VVEOnVgnNsIky9Y4NQnpsEMw2O9Yf8X5p1eoDjqDrtUMSvP7cxLv4z7Sv9+d6PVjww+EC1JttSA7396kJky/6U58Y+GnVyCqr7/RqVYR0hNBXqp0lfHw/qVE+VrrH658QAq2aQ2mtSVit61KOFVSjst6CQL1GaPztSwYlOYJKBzuYKXXY2VPJ14JSANA/wRFk6WgJn681Oeclh/vDT6uG0WJHVgfLRM+V1qHGaIVBqxKyh3xB75iurcDH9+GiJufuQUEpD8lICkX3qAAYLXZ8f8i7wYLP9mQDAKb2j0WYD6yg4OtmO7OlvtqX49XnPVFYjaP51dCqOcwcSBl5SjdjYBwMWhVOF9d6PVjwufMz7YbhST5VwuCLAvQaTOnnWCzkSy9/phHfNLKbs6/UufYFpXae9c1+UjyDVi2Uo7W3r9RvZ0oBAKO6hftk7xU+U+pYQTXMVnu77mO02HDaWR7kSyvv8YS+Uh1sdn4oz/eanAOOVbn5gFJHm53zwdL+8SE+9f7kg0l5lQ0dTiCx25nQ+5LK99zDd848L+M4Tsgs8GawoN5sxVpn6d5Nw5O89rxEPNcOSYBGxeFAdmWnV93oDL7B+cTe0T6xfKyvCzZoMa2fI/Py6/3e+0w7VVSDfRcqoFZxuH4o9S3zBTeNSAYArM3MQ207+/wQ0ll8X6mDOZWXXMk2p7weeZUN0Kg4obeSL+L3vb1Bqd+dQanLekR6bExSlhLhjxA/LcxWe7ubKh/Oq4LVzhARoENciO/1hhVW4OtAphRjzCebnPM6uwLfHz5YugcAof46YQGBjjY7P11ci3qzDX5aNVIj/D0xPJ9DQSkPuiYjAWpnsMBbKwl9f6gAtSYrUiL8fTa13NdEBxuEzIJPd1/wynMaLTZ8vd9ZukeBAp/BB9rXHcy/5MWbu3y+xxEAuyI9mhZt8BEj08LRPSoAdWYbvhWhhxnxLakR/ogK0sNss1+yETW/6t6gpFAE+GA/KR7fV6o9fbiMFptQGjnWR4NSHMcJ5WTtLeHb7lxEZkyPSJ/MEOYb4p8vrWv3lxOOxugWaNWcT5Wh8fo6V+A73MHsMqGfVHKom0ckfXwWYmZ2ZYfux3/2DU4KhcaHsss8iY6iB0UHGzC+VxQA4Iu92V55zqZlLipaocpn3DoyBYAje8kbmQU/HCpAWZ0ZcSEGXJEe7fHnI9IwulsEEkL9UG204gcvlCUbLTasznQEP/nsGaJ8HMfhZudn2qe7s6nhOfEojuOEL/F+ci6o0JpdZ/l+Ur636l5Tw1IdQanjBdUoqTG1ue2BCxUwWe2IDtL79IIoGc5AHh/YvJStJx1BKf46wtdEBuqRHO4PxoDd7TxmfzizpPrEBUOvUXtwdNLErwa6L6scFlv7y0T5zCpfy5QCgKEp/DHr2GqifJbokJRQdw/JZ1FQysNuGem4kPp8T47HgwWnimpwILsSGhWH6yh7xaeM7h6BbpGOzIK1Bz2bWcAYw6odWQCAW0el0DcEPkSl4nDLKMdn2oe/nfd4sODHo4WorLcgPsSAy310Yu6rrh2SAL1GheMF1R1uDkxIR83JcPRFXJOZ12rPn3qzFZuOO4JWY3v49udRTLABg5JCYWfAhkssssL3kxrroxk/vIm9HefMtpMlMFnbzjQurTXhsLM30uW9fDO7DADG9XTsO581dil8k3Nf7MEFOBp3h/lrUW+2CefPpRzNd5SJRgbqkBDq5+ERSg8fYN93oaJDc1o+U8qXy7jdja4mPWxi72h0iwxAjcmKL/d6tg/Lh7+eB+BYvSg6iMpcfIkjs8ARLPhkl2czCw5kV+JwXhV0GhVlr/igm0ckw0+rxrGC6nZ/49sZjDGs/D0LgKNsUE2Znz4l1F8nLKDwyS7vZBoT33V5zyjEBOtRXmfGz8dbzpZaezAfNUYrUiP8hRX7fNmsgXEAgO/+yG9zO1/vJ8UblBiK6CA9ak1W7LpEU/1fTzuCMP3ig316Ps9/GbX9dGm7tueDV3ygwdeoVBxGOnvk8QsyXApftjY4KdQng8YDEkKgU6tQWmtCdnl9u+5TUWfGuRLHCocZSb55rnkCBaU8TKXisHBsGgBg5Y7zsNk9EywoqjZijbP3xp2Xp3nkOYi0XTc0Ucgs8GSwgM+Smj0onhqc+6BQfx2uHepY8fGj38577Hl2nSvHwZxK6DUq3DoqxWPPQ6SLz8r77o98FFYZRR4NUTKNWiVkmH/RwheIjDH8Z6ejZ+Oto1KoPQKAmQPjwXHA3qwK5Fc2tLhNZb1ZWA3N14NSKhWHK/o4+n/+fIkyUV8v3eON6R4BjYrD+dI65FwiYJBTXo8ThTVQqzhM7O27bSX40uJd7S55dLw/fbF0D3CsJto/wdG/rL0lfJk5ju26RQXQKvduREEpL7h2SCJC/bXIKW/ApmOFHnmOj347D7PNjuGpYUJ9LPEtof46XD/MMal+Y/MZjzxHQVUDNhx2pOrPH5Pqkecg0nf7ZY7A9y8ninGuxDOLOLy97SwAYO6wJEQF6T3yHETahiSHYURaOMw2O97bfk7s4RCFm+tcyGH76RLkXRRkOZBdgeMF1TBoVbh+KK1sDACxIQYMd/awaa3H4Nf7c8EYkB4bhFgfXEHuYpP7OoIlPx8vajWj3WZnQsaPrwelggxaoan+tkuU8P3izHAcmhKGUH/fDRSM7u4I/u7Lqmi1FLmpgzl8w27fzfgRenG1czVRoZ9Usu8eM0+goJQX+OnUQiPq9391fx+WqgYLPt3tKG+4Z0J3tz42kZe7x3eHRsVhx9ky7L/Qdnp4Z7y15SysdoYRaeHCcr3E93SPCsSk9Ggw5ugt5W5H8qqw/VQJ1CoOf768m9sfn8jHXyb1AAD8b88FlNa23VCZkK5IiQjA6G4RYAz4el+uy+/4LKmrBsUjxF8rxvAkadYgR4ntd4eal/CZrXZ84GwrsYC+xAIAjOkeCT+tGgVVRhxpZYW0w3lVqKi3IEivwRDqVyP01LpUX6mfjxcDACY7s9F8Vc/oQIQH6NBgseGQs/F7a/IqG5BT3gCOAwYk+u6cnu8L1d7rpgMXKl3uR9yDglJectvoFOjUKuy/UHHJaH9HfbLrAmpNVvSOCfLplFUCJIb545ohjtIqd2dL5ZTX43PnKpIP/amXWx+byM+d4xzBoi/35SC7rH11+O3FZ0nNHBiHpHB/tz42kZexPSIxKDEERovdIwFQQpq6YbgjC+rD384h09nI9kheFdY7M4RvG50q1tAkaXr/WKhVHA7lViGrtM7ld2sP5qGw2ojoID3mOOclvs6gVQtBltYqJ7aedARXLusRCS0tJCP0ldpxtqzVFeWqjRbsPu8oV7uij29fB6lUXLtL+PjKhxGp4Qjx891gOx9cOlVUi6p6S5vbWm12YfEVypRyL/q085LoYANuG+3Ilnp+wwm39ZaqrDfjg18dZQ13je/mk03qiKt7J/SAigO2nCzB4dz2rb7RHv/+5TQsNoaxPSIxunuE2x6XyNPo7hEY1zMSFhvDK5tOuu1xTxRWCxOlu8dT5qev4zgO90/qCQD4784Ll5wwEtIV0wfEYkhyKKqNVtzywW4sX38c17y1AxYbw0jKEG4mMlCPMc75wIs/nhAqAex2hnedJbcLx6ZBr1GLNkapmdw3FgDwUwt9perNVqHywdeDK7x+8SEI89ei1mQVmnJfbPupElhsDN2iAtAtKtC7A5SgUd2czc4vFZQ64giMXjkgzuNjkrLIQD3SIgMANK6q15oThTVosNgQpNegZzSda+5EQSkvum9iDwQZNDhRWINvnU3Ju2rFz6dRUW9Br5hAXOVMoya+LTUyALMHO76VfH7jcbeUi54rqcU3BxzlDA9PoSwp4vD4tHQAjlWpjrRz+eG2MMbwzLpjsDPHN/B94oK7/JhE/q5Ij0Z6bBBqTVb8Z2eW2MMhCqbXqPHfRSMxtkck6s02vLv9HMw2O/7UJwbvzhsq9vAk6aHJvaBVc1h/uBDvbHMEor47lI8zxbUI0muElYGJw6T0aGjVHE4U1mDjEddsqZW/Z6GkxoTEMD9hHufr1CoOY3s6sqVayy77xVm69ycfL93jjXYGpfZlVcBktbW4TWGVUeiNNK1/rNfGJlV8ttS+S5Tw7cty/H5wcigteOFmFJTyorAAHe6d4OiP8eqmUzBaWv6gaK/TRTX47y5Hn4Ols/pBQ2m+xOmhP/WCXqPC72fKsO4SyzVfCmMMz284ATsD/tQnGhmUrkqc+ieECMHwFzae6PLjbThSiJ3nyqDXqPDklX26/HhEGVQqDg9P6Y1HpvTCbQrqTfPcc89hzJgx8Pf3R2hoaLvus2DBAnAc5/IzatQozw7UxwToNfhwwTBcNSgeflo1/jajD96/bahPN09uy5DkMCyd1Q+AI1vqurd34K+fHwQA3DwqGcEG3y0Lakl4gE7olbh03RFUGx3Zn1X1FrzrLF1/eEov6DQ0p+fNGujI5Pnf7myUXdRb0GixYctJCko11SM6EDHBepisdmxqZaXHjUccGenDUsIQE0yLEAxPdVzbbD9V2uZ26w87AqO+vpqoJ9Annpfdflkq4kIMyKtswNtbz3b6cRhj+Mf3x2CzM0zpG0NvDuIiOcIf9090BECf/eG4MOnpjB8OF+CnY0XQqDg8MrW3u4ZIFOKRKb2hVXP49XSpUHbXGUaLDc/9cBwAcNf47tRLiriY3DcG90/qqai+F2azGddffz3uueeeDt1v2rRpKCgoEH7Wr1/voRH6Lr1GjX/flIHDy6bgjnHUGuFSbhmZjBuGJYExxwpWahWHazIS8ICz9Ja4+suknkiN8EdRtQkv/3gSdjvDG1tOo9poRXpsEK4aRFlSTU3uG4P+CcGoM9vwzjbXa6e3t55FZb0FMcF6DEkOFWeAEsNxHG4a4chQ/KiVXozrnVl60328dI/3pz4x0Kg4HM6rwsnCmha3ySmvx56scnAcMHswVSe5GwWlvMygVWOJMwPgjS1nLlm72pq1B/Px6+lS6NQqPDWDMgpIc38e3w3dIgNQUmPCqz+d6tRjlNWa8PTaowAc5afpsVRORVwlR/jjrssdvZ+WrDmMompjpx5nxc+nkVfZgPgQA+6hXlLEBzzzzDN46KGHMGDAgA7dT6/XIzY2VvgJDw/30AgJZaC3D8dx+MfV/TB/dAruHJeGbY9OwKs3DEaAXiP20CTJoFXjuTmO9/1/dl5An6c34n3nSoWPTesNNZUFueA4R7Ys4Dhe/DzjTHGt8AX/32f2pfdrE7eMdCywdSC7Uli0gVdcY8ReZxkale45RATqMSnd0cft6/05LW6z9qCj9c7obhGIC/Hz2th8Bb17RXDVoHjMHhwPm53hwc8PotZk7dD9TxXVYMnqwwCAeyd2R0pEgCeGSWROr1HjH7P7AwA+3pnVagpvaxhjeHrdUZTXmZEeG4T7nJlXhFzsgSt6on9CMCrrLXjkqz9g7+BCDpuOFQnffj49qy/8dNQUl5DWbN26FdHR0ejVqxfuvPNOFBcXt7m9yWRCdXW1yw8h7qbXqPHM7P54akZfJIZRpuulXNYjEtcPTQQAmKx2aNUcbh2VTKtot2JCrygMSwmDyWrH8vXHcb60Dk+tOQyzzY4JvaMwgzJ+XEQF6XGVM5tn5e9ZLr/7Zn8eGAMGJ4UiIZSCK7zrhzlWX12Tmd9spUfGGNY4+0HPyaBMRk+goJRI/jG7PxJC/ZBdXo+/rTnc7ou4WpMVd3+yHw0WG8b2iMRfKDWatGFsz0jMG5UCxoAHP8/EicL2X4y8tfUsfjhUALWKw8vXD6L+BqRVOo0KK27IgEGrwq+nS/HO9vaXJp8vrcPiLw4CcJQ3T+tPE0tCWjN9+nR8+umn2Lx5M1555RXs3bsXkyZNgslkavU+y5cvR0hIiPCTlJTkxRETQlrzz2sG4Is/j8LWRybg+D+m4dmrB1CpaCs4rrGFxLcH8zHx5a3Yfb4cBq0K/ze7Px23Ftx+WSoAYP3hAhRUNQAADuZU4lXnisk3DKe/BU1N6B2FiAAdSmtN2H6qxOV3R/KqcbakDnqNirLLPISuMkUS4qfFv24YDBXn+HB9cs1h2C4RmKo1WXHvpwdwrqQOcSEGvHbjYErxJZf09Ky+GNM9AnVmGxat2ofimkuXV/13ZxZe+tHxR2vJ9HRaBptcUo/oQDzlLE1+ceNJfPDruUvep6CqAX/+zz7UmKwYlhJGzc2J7C1btqxZI/KLf/bt29fpx7/hhhswY8YM9O/fH7NmzcKGDRtw6tQp/PDDD63eZ8mSJaiqqhJ+cnJaLk0ghHiXVq3CyG4RSI0MoNKzdhjVLQJPz+yLfvHBwhelT0xLpx6UregXH4JR3cJhtTPc/d/9+PFoIe79ZD8sNoZp/WJxIwWlXGjVKlztzIL6al+uy+9WZzr+P6VfLIJo8QaPoGJvEY1IC8fL1w/CI1/9gc/35sBstWP5tQOg1zQvXcmvbMCij/fheEE19BoV3rxlCCIC9SKMmsiNVq3CW7cMwdVv/o6ssnrMev03vH7TEIxIa96HxGqzY+XvWXhuvaPh9F8m9cAd47p5e8hEpm4dlYKiahPe2HIGz/5wHCarHfeM797isrl/5FTizv/sQ3GNCVFBerx5yxBoaVJOZO7+++/HjTfe2OY2qampbnu+uLg4pKSk4PTp061uo9frodfTfIEQIn8Lx6Zh4dg02OwM1Q0WhAXQqphteXhKb9z6wW78kVuFu/67HwCQFhmAl64fSNllLbhuaCI+/O08fjlRhEO5lRiYGIpDuZX42hmkmpNBDc49hYJSIrtmSCJ0GhUe/PwgVmfmYde5MjxwRU/MHBSPAJ0aRdUmfLkvB//ZmYXSWjMiA3V4/7ZhyEgOE3voREZC/XVYdfsILPp4L86W1OGm93fhjrFpmDUoHv3ig1FrsuJQbhWWbziOI3mOEr/bRqdg8eReIo+cyImjGWkvqFUcXvvlNF768SS+P1SAR6f2wqhuEfDTqnG6uBZf7s3Bf3ddgMlqR++YIHwwfxgtSUwUITIyEpGR3lsNt6ysDDk5OYiLo7JXQojvUKs4Cki1w/DUcGx/bCLe3noW/9udDZ1GhXduHUrZPq3oExeMMd0jsONsGea+uxMPXNETb285ixqTFcNTw3B5zyixh6hYHGOsYx1pvai6uhohISGoqqpCcLCyV/3afKIIS1YfRlF1Y18ItYqDnTHwr1CvmEB8OH84pamSTqszWfG3b48IzfoAIECnRp3ZJvw/2KDB49PTcfOIZPoWhXTaxzuy8PKPJ1HTZCEHnUYFs7WxeeSk9Gi8duNgmhwRSfD2nCM7Oxvl5eVYt24dXnrpJfz6668AgB49eiAwMBAAkJ6ejuXLl2POnDmora3FsmXLcO211yIuLg5ZWVl48sknkZ2djePHjyMoKKhdz+tLcytCCCEO5XVm2OwMUUGUOduWGqMF9/0v06Wv1Ii0cHy0YDgCaUXRDmvvnIOCUhJitNjw6e5svLPtLEpqGoNTI1LDcfPIZEzrHwuDllalIl3DGMPGI4VYk5mH386Uot4ZkIoO0mNC7yg8OjWd/mARt6ioM+OdbWfxya4LQuBTo+IwKT0ac4clYVJ6dIulfYSIwdtzjgULFuDjjz9udvuWLVswYcIEAI7sw5UrV2LBggVoaGjA1VdfjczMTFRWViIuLg4TJ07E//3f/3Woebmvza0IIYSQjrDa7Fi67ig+3Z2Ny3pE4P3bhsFfRwGpzqCglIwxxlBvtqHGaIWKA6KprIV4iMlqw/nSOsSF+CHEj7JViGcwxlBntqGizoxggxYh/nSuEenxlTmHr+wnIYQQ0hV5lQ2ICzbQF6hd0N45h0e7yl511VVITk6GwWBAXFwc5s2bh/z8fE8+pSJwHIcAvQaxIQYKSBGP0mvUSI8NpoAU8SiO4xCo1yAp3J8CUoQQQgghRPISQv0oIOUlHg1KTZw4EV9++SVOnjyJb775BmfPnsV1113nyackhBBCCCGEEEIIITLg0eLIhx56SPh3SkoKnnjiCVx99dWwWCzQaunbckIIIYQQQgghhBBf5dFMqabKy8vx6aefYsyYMRSQIoQQQgghhBBCCPFxHg9KPf744wgICEBERASys7Oxdu3aVrc1mUyorq52+SGEEEIIIYQQQgghytPhoNSyZcvAcVybP/v27RO2f/TRR5GZmYmffvoJarUat912G1pb8G/58uUICQkRfjqyxDEhhBBCCCGEEEIIkQ+OtRYhakVpaSlKS0vb3CY1NRUGQ/NV43Jzc5GUlIQdO3Zg9OjRzX5vMplgMpmE/1dXVyMpKYmWLSaEEEKIR7V32WK585X9JIQQQoi42jvn6HCj88jISERGRnZqUHz8q2ngqSm9Xg+9Xt+pxyaEEEIIIYQQQggh8uGx1ff27NmDPXv2YOzYsQgLC8O5c+fw9NNPo3v37i1mSbWED2JRbylCCCGEeBI/1+hgArns0NyKEEIIId7Q3rmVx4JSfn5+WL16NZYuXYq6ujrExcVh2rRp+Pzzz9udDVVTUwMA1FuKEEIIIV5RU1ODkJAQsYfhMTS3IoQQQog3XWpu1eGeUt5kt9uRn5+PoKAgcBznkefg+1bl5OT4TG8FX9xnwDf32xf3GfDN/aZ99o19Bnxzv72xz4wx1NTUID4+HiqVxxcnFg3NrTzDF/cZ8M399sV9Bnxzv31xnwHf3G/aZ3HnVh7LlHIHlUqFxMRErzxXcHCwz5yAPF/cZ8A399sX9xnwzf2mffYdvrjfnt5nJWdI8Whu5Vm+uM+Ab+63L+4z4Jv77Yv7DPjmftM+u1975lbK/SqQEEIIIYQQQgghhEgWBaUIIYQQQgghhBBCiNf5fFBKr9dj6dKl7W6+rgS+uM+Ab+63L+4z4Jv7TfvsO3xxv31xn+XMF18vX9xnwDf32xf3GfDN/fbFfQZ8c79pn8Ul6UbnhBBCCCGEEEIIIUSZfD5TihBCCCGEEEIIIYR4HwWlCCGEEEIIIYQQQojXUVCKEEIIIYQQQgghhHgdBaUIIYQQQgghhBBCiNf5RFDqrbfeQlpaGgwGA4YOHYpff/21ze23bduGoUOHwmAwoFu3bnjnnXe8NNKuW758OYYPH46goCBER0fj6quvxsmTJ9u8z9atW8FxXLOfEydOeGnUXbds2bJm44+NjW3zPnJ+nQEgNTW1xdftvvvua3F7ub7O27dvx6xZsxAfHw+O4/Dtt9+6/J4xhmXLliE+Ph5+fn6YMGECjh49esnH/eabb9C3b1/o9Xr07dsXa9as8dAedFxb+2yxWPD4449jwIABCAgIQHx8PG677Tbk5+e3+ZirVq1q8fU3Go0e3pv2udTrvGDBgmZjHzVq1CUfV8qvM3Dp/W7pNeM4Di+99FKrjyn117o9f6eU+L5WGppb0dyqJXJ+nQGaW/GU+Bnsi3MrwDfnVzS3kt/cSvFBqS+++AIPPvggnnrqKWRmZmLcuHGYPn06srOzW9z+/PnzuPLKKzFu3DhkZmbiySefxAMPPIBvvvnGyyPvnG3btuG+++7Drl27sGnTJlitVkyZMgV1dXWXvO/JkydRUFAg/PTs2dMLI3affv36uYz/8OHDrW4r99cZAPbu3euyv5s2bQIAXH/99W3eT26vc11dHQYNGoQ33nijxd+/+OKLePXVV/HGG29g7969iI2NxeTJk1FTU9PqY+7cuRM33HAD5s2bhz/++APz5s3D3LlzsXv3bk/tRoe0tc/19fU4cOAA/v73v+PAgQNYvXo1Tp06hauuuuqSjxscHOzy2hcUFMBgMHhiFzrsUq8zAEybNs1l7OvXr2/zMaX+OgOX3u+LX6+PPvoIHMfh2muvbfNxpfxat+fvlBLf10pCcyuaW7VE7q8zQHMrnhI/g31xbgX45vyK5lYynFsxhRsxYgS7++67XW5LT09nTzzxRIvbP/bYYyw9Pd3ltrvuuouNGjXKY2P0pOLiYgaAbdu2rdVttmzZwgCwiooK7w3MzZYuXcoGDRrU7u2V9jozxthf//pX1r17d2a321v8vRJeZwBszZo1wv/tdjuLjY1lzz//vHCb0WhkISEh7J133mn1cebOncumTZvmctvUqVPZjTfe6PYxd9XF+9ySPXv2MADswoULrW6zcuVKFhIS4t7BeUhL+zx//nw2e/bsDj2OnF5nxtr3Ws+ePZtNmjSpzW3k9Foz1vzvlC+8r+WO5lY0t2qJ0l5nxmhuxVPaZ7Avzq0Y8835Fc2t5DG3UnSmlNlsxv79+zFlyhSX26dMmYIdO3a0eJ+dO3c2237q1KnYt28fLBaLx8bqKVVVVQCA8PDwS26bkZGBuLg4XHHFFdiyZYunh+Z2p0+fRnx8PNLS0nDjjTfi3LlzrW6rtNfZbDbjk08+wcKFC8FxXJvbyv11bur8+fMoLCx0eS31ej3Gjx/f6nscaP31b+s+UlZVVQWO4xAaGtrmdrW1tUhJSUFiYiJmzpyJzMxM7wzQTbZu3Yro6Gj06tULd955J4qLi9vcXmmvc1FREX744QcsWrToktvK6bW++O8Uva+ljeZWNLdqjdJeZ5pb+fZnsK/MrQDfnl/R3Eoa72tFB6VKS0ths9kQExPjcntMTAwKCwtbvE9hYWGL21utVpSWlnpsrJ7AGMPixYsxduxY9O/fv9Xt4uLi8N577+Gbb77B6tWr0bt3b1xxxRXYvn27F0fbNSNHjsR//vMf/Pjjj3j//fdRWFiIMWPGoKysrMXtlfQ6A8C3336LyspKLFiwoNVtlPA6X4x/H3fkPc7fr6P3kSqj0YgnnngCN998M4KDg1vdLj09HatWrcK6devw2WefwWAw4LLLLsPp06e9ONrOmz59Oj799FNs3rwZr7zyCvbu3YtJkybBZDK1eh8lvc4A8PHHHyMoKAjXXHNNm9vJ6bVu6e8Uva+ljeZWNLeiuVUjJbzOF6PPYN+ZWwE0v6K5lTTe1xq3PppEXfztBmOszW88Wtq+pdul7v7778ehQ4fw22+/tbld79690bt3b+H/o0ePRk5ODl5++WVcfvnlnh6mW0yfPl3494ABAzB69Gh0794dH3/8MRYvXtzifZTyOgPAhx9+iOnTpyM+Pr7VbZTwOremo+/xzt5HaiwWC2688UbY7Xa89dZbbW47atQol8aVl112GYYMGYLXX38d//73vz091C674YYbhH/3798fw4YNQ0pKCn744Yc2JxJKeJ15H330EW655ZZL9i+Q02vd1t8pX31fywXNrWhu1RKlvM4Aza189TPYl+ZWAM2vaG4ljfe1ojOlIiMjoVarm0XyiouLm0X8eLGxsS1ur9FoEBER4bGxuttf/vIXrFu3Dlu2bEFiYmKH7z9q1ChJRn7bKyAgAAMGDGh1H5TyOgPAhQsX8PPPP+OOO+7o8H3l/jrzqwB15D3O36+j95Eai8WCuXPn4vz589i0aVOb3+S1RKVSYfjw4bJ9/ePi4pCSktLm+JXwOvN+/fVXnDx5slPvc6m+1q39nfLl97Uc0NyK5lY0t2qb3F9nX/4M9vW5FeBb8yuaW0nnfa3ooJROp8PQoUOFlTN4mzZtwpgxY1q8z+jRo5tt/9NPP2HYsGHQarUeG6u7MMZw//33Y/Xq1di8eTPS0tI69TiZmZmIi4tz8+i8x2Qy4fjx463ug9xf56ZWrlyJ6OhozJgxo8P3lfvrnJaWhtjYWJfX0mw2Y9u2ba2+x4HWX/+27iMl/KTp9OnT+Pnnnzs12WeM4eDBg7J9/cvKypCTk9Pm+OX+Ojf14YcfYujQoRg0aFCH7yu11/pSf6d89X0tFzS3orkVza3aJvfX2Vc/g2lu5eBL8yuaW0nofe3WtukS9PnnnzOtVss+/PBDduzYMfbggw+ygIAAlpWVxRhj7IknnmDz5s0Ttj937hzz9/dnDz30EDt27Bj78MMPmVarZV9//bVYu9Ah99xzDwsJCWFbt25lBQUFwk99fb2wzcX7/K9//YutWbOGnTp1ih05coQ98cQTDAD75ptvxNiFTnn44YfZ1q1b2blz59iuXbvYzJkzWVBQkGJfZ57NZmPJycns8ccfb/Y7pbzONTU1LDMzk2VmZjIA7NVXX2WZmZnCaijPP/88CwkJYatXr2aHDx9mN910E4uLi2PV1dXCY8ybN89lVajff/+dqdVq9vzzz7Pjx4+z559/nmk0GrZr1y6v719L2tpni8XCrrrqKpaYmMgOHjzo8j43mUzCY1y8z8uWLWMbN25kZ8+eZZmZmez2229nGo2G7d69W4xdbKatfa6pqWEPP/ww27FjBzt//jzbsmULGz16NEtISJD168zYpc9vxhirqqpi/v7+7O23327xMeT2Wrfn75QS39dKQnMrmlsxprzXmUdzK2V+Bvvi3Iox35xf0dxKfnMrxQelGGPszTffZCkpKUyn07EhQ4a4LOE7f/58Nn78eJftt27dyjIyMphOp2OpqamtnqxSBKDFn5UrVwrbXLzPL7zwAuvevTszGAwsLCyMjR07lv3www/eH3wX3HDDDSwuLo5ptVoWHx/PrrnmGnb06FHh90p7nXk//vgjA8BOnjzZ7HdKeZ355ZYv/pk/fz5jzLHE6dKlS1lsbCzT6/Xs8ssvZ4cPH3Z5jPHjxwvb87766ivWu3dvptVqWXp6uqQmkG3t8/nz51t9n2/ZskV4jIv3+cEHH2TJyclMp9OxqKgoNmXKFLZjxw7v71wr2trn+vp6NmXKFBYVFcW0Wi1LTk5m8+fPZ9nZ2S6PIbfXmbFLn9+MMfbuu+8yPz8/VllZ2eJjyO21bs/fKSW+r5WG5lY0t1La68yjuZUyP4N9cW7FmG/Or2huJb+5FefcCUIIIYQQQgghhBBCvEbRPaUIIYQQQgghhBBCiDRRUIoQQgghhBBCCCGEeB0FpQghhBBCCCGEEEKI11FQihBCCCGEEEIIIYR4HQWlCCGEEEIIIYQQQojXUVCKEEIIIYQQQgghhHgdBaUIIYQQQgghhBBCiNdRUIoQQgghhBBCCCGEeB0FpQghsrNs2TIMHjxY7GEQQgghhCgGza8IIWLgGGNM7EEQQgiP47g2fz9//ny88cYbMJlMiIiI8NKoCCGEEELki+ZXhBCpoqAUIURSCgsLhX9/8cUXePrpp3Hy5EnhNj8/P4SEhIgxNEIIIYQQWaL5FSFEqqh8jxAiKbGxscJPSEgIOI5rdtvF6eULFizA1VdfjX/+85+IiYlBaGgonnnmGVitVjz66KMIDw9HYmIiPvroI5fnysvLww033ICwsDBERERg9uzZyMrK8u4OE0IIIYR4GM2vCCFSRUEpQogibN68Gfn5+di+fTteffVVLFu2DDNnzkRYWBh2796Nu+++G3fffTdycnIAAPX19Zg4cSICAwOxfft2/PbbbwgMDMS0adNgNptF3htCCCGEEPHR/IoQ4mkUlCKEKEJ4eDj+/e9/o3fv3li4cCF69+6N+vp6PPnkk+jZsyeWLFkCnU6H33//HQDw+eefQ6VS4YMPPsCAAQPQp08frFy5EtnZ2di6dau4O0MIIYQQIgE0vyKEeJpG7AEQQog79OvXDypVY5w9JiYG/fv3F/6vVqsRERGB4uJiAMD+/ftx5swZBAUFuTyO0WjE2bNnvTNoQgghhBAJo/kVIcTTKChFCFEErVbr8n+O41q8zW63AwDsdjuGDh2KTz/9tNljRUVFeW6ghBBCCCEyQfMrQoinUVCKEOKThgwZgi+++ALR0dEIDg4WeziEEEIIIbJH8ytCSEdRTylCiE+65ZZbEBkZidmzZ+PXX3/F+fPnsW3bNvz1r39Fbm6u2MMjhBBCCJEdml8RQjqKglKEEJ/k7++P7du3Izk5Gddccw369OmDhQsXoqGhgb7ZI4QQQgjpBJpfEUI6imOMMbEHQQghhBBCCCGEEEJ8C2VKEUIIIYQQQgghhBCvo6AUIYQQQgghhBBCCPE6CkoRQgghhBBCCCGEEK+joBQhhBBCCCGEEEII8ToKShFCCCGEEEIIIYQQr6OgFCGEEEIIIYQQQgjxOgpKEUIIIYQQQgghhBCvo6AUIYQQQgghhBBCCPE6CkoRQgghhBBCCCGEEK+joBQhhBBCCCGEEEII8ToKShFCCCGEEEIIIYQQr6OgFCGEEEIIIYQQQgjxOgpKEUIIIYQQQgghhBCvo6AUIYQQQgghhBBCCPE6CkoRQgghhBBCCCGEEK+joBQhhBBCCCGEEEII8ToKShFCCCGEEEIIIYQQr6OgFCGEEEIIIYQQQgjxOgpKEUIIIYQQQgghhBCvo6AUIYT4gO+++w7p6emora3t9GO88MILmDJlihtHRQghhBBCCPFlFJQixMtWrVoFjuNa/dm6davYQ2yXHTt2YNmyZaisrHT7Y/DHKCsrq0tj7Kg5c+bAz8+vzX265ZZboNVqUVRU1O7HFWt/mvriiy8QGxuLwMBAl9vXr18PjuPwn//8p8X7zZ07F/7+/rDZbBgxYgQ2bdqEc+fOeWPIhBDi89qaL1w8d1iwYAFSU1PFHrIgKyvLZYxarRYREREYPnw4HnroIRw9etSjz7tq1SqPPD4AHDt2DMuWLWvx77rUXofO+tvf/obk5GRoNBqEhoa2ut2yZcvaPDfFnPt0RH5+PpYtW4aDBw92+jGkdl6sXbsWHMfhnXfeaXWbTZs2geM4vPrqq+1+XKWc40Q6KChFiEhWrlyJnTt3NvsZMmSI2ENrlx07duCZZ57pclCqpceYMWMGdu7cibi4uK4NsoMWLVoEo9GI//3vfy3+vqqqCmvWrMHMmTMRExPj1bF1hdVqxfr163H11Vc3+92BAwcAoNXz7sCBAxg4cCDUajXGjRuH8PBwfPvttx4cLSGEEN7Fc4Qrr7wSfn5+Lc4d/v73v2PNmjViD7mZv/zlL9i5cye2bduG//73v7j66quxbt06DBo0CC+99JLbny8uLg47d+7EjBkz3P7YvGPHjuGZZ55pMfgg1dehI9auXYvnnnsOt912G7Zt24aff/75kvfZuHFji/Nab8/lOis/Px/PPPNMl4NSUjovZsyYgdjYWHz00UetbrNy5UpotVrMmzfPiyMjxJVG7AEQ4qv69++PYcOGiT0MSYqKikJUVJTXn3f69OmIj4/HRx99hHvvvbfZ7z/77DM0NDRg0aJFXh9bV2zfvh0VFRW46qqrmv3uwIED8PPzQ58+fZr9rqqqCufOncPUqVMBABqNBjNmzMDatWuxePFij4+bEEJ83ahRo1z+HxUVBZVK1ex2AAgODvbWsDokOTnZZbxXXnklFi9ejGuuuQaPPfYY+vfvj+nTp3f5eWw2G6xWK/R6fYvHx1u6d+8u2nO7y5EjRwAADzzwAKKjo9t1n6FDhyIyMtKTw5I1Mc4LjUaD2267DS+++CKOHDmC/v37u/y+srISa9aswVVXXSXKvJsQHmVKESJBRqMRGRkZ6NGjB6qqqoTbCwsLERsbiwkTJsBmswFoTJvOzMzENddcg+DgYISEhODWW29FSUmJy+OePn0aN998M6Kjo6HX69GnTx+8+eabLY7hxIkTuOmmmxATEwO9Xo/k5GTcdtttMJlMWLZsGR599FEAQFpamkv5wJkzZ3D77bejZ8+e8Pf3R0JCAmbNmoXDhw+7PH5bj9Faudtvv/2GK664AkFBQfD398eYMWPwww8/NHtcjuNw9OhR3HTTTQgJCUFMTAwWLlzocixbolarMX/+fOzfv7/ZeAHHt0lxcXHC5Lm9+9qS1lKf+fFfrCOv3cXWrl2LAQMGoFu3bs1+t3//fiET6mKZmZlgjLlkUc2ePRu///47ysrK2vXchBBCvKOlvyscx+H+++/HypUr0bt3b/j5+WHYsGHYtWsXGGN46aWXkJaWhsDAQEyaNAlnzpxp9rg///wzrrjiCgQHB8Pf3x+XXXYZfvnlly6N1c/PDx9++CG0Wm2zbKnCwkLcddddSExMhE6nQ1paGp555hlYrVZhG75E78UXX8Szzz6LtLQ06PV6bNmypVn53rfffguO41oc89tvvw2O43Do0CEAwL59+3DjjTciNTUVfn5+SE1NxU033YQLFy4I91m1ahWuv/56AMDEiROF+Qv/fBe/DhkZGRg3blyz57bZbEhISMA111wj3GY2m/Hss88iPT0der0eUVFRuP3225vN5zZv3owJEyYgIiICfn5+SE5OxrXXXov6+vo2j7vdbseLL74oPH50dDRuu+025ObmCtukpqbib3/7GwAgJiYGHMdh2bJlbT5uezz//PNQqVT47rvvXG5fsGAB/P39hbnT1q1bwXEcPvnkEyxevBixsbHw8/PD+PHjkZmZ2exx9+3bh6uuugrh4eEwGAzIyMjAl19+2Wy7vLw8/PnPf0ZSUhJ0Oh3i4+Nx3XXXoaioCFu3bsXw4cMBALfffrvwmvL77YnzAnDM95csWYK0tDTodDokJCTgvvvua1ZBkJqaipkzZ2Ljxo0YMmQI/Pz8kJ6e3mYGFI//InXlypXNfvfZZ5/BaDRi4cKFAIA333wTl19+OaKjoxEQEIABAwbgxRdfhMViafM52iqZben8ac+c1m6349lnnxU+t0JDQzFw4EC89tprl9xnIj8UlCJEJPw3ek1/+ECTwWDAl19+ieLiYuEPhd1uxy233ALGGD777LNmQYQ5c+agR48e+Prrr7Fs2TJ8++23mDp1qvCH5NixYxg+fDiOHDmCV155Bd9//z1mzJiBBx54AM8884zLY/3xxx8YPnw4du3ahX/84x/YsGEDli9fDpPJBLPZjDvuuAN/+ctfAACrV692KR/Iz89HREQEnn/+eWzcuBFvvvkmNBoNRo4ciZMnTwrP0dZjtGTbtm2YNGkSqqqq8OGHH+Kzzz5DUFAQZs2ahS+++KLZ9tdeey169eqFb775Bk888QT+97//4aGHHrrk67Jw4UJwHNfsD/2xY8ewZ88ezJ8/Xzj27d3XrurIa9eSdevWYfbs2c1uLysrQ3Z2Nvr27YvKyspmPzt37gTgWto3depUaDQafP/9927bP0IIIZ7z/fff44MPPsDzzz+Pzz77DDU1NZgxYwYefvhh/P7773jjjTfw3nvv4dixY7j22mvBGBPu+8knn2DKlCkIDg7Gxx9/jC+//BLh4eGYOnVqlwNT8fHxGDp0KHbs2CEEnAoLCzFixAj8+OOPePrpp7FhwwYsWrQIy5cvx5133tnsMf79739j8+bNePnll7Fhwwakp6c322bmzJmIjo5u8aJ81apVGDJkCAYOHAjAcXHdu3dvrFixAj/++CNeeOEFFBQUYPjw4SgtLQXgKIn65z//CcBxEc/PX1orF7z99tvx22+/4fTp0y63//TTT8jPz8ftt98OwDHPmz17Np5//nncfPPN+OGHH/D8889j06ZNmDBhAhoaGoQxzpgxAzqdDh999BE2btyI559/HgEBATCbzW0e83vuuQePP/44Jk+ejHXr1uH//u//sHHjRowZM0bYvzVr1giBDL4k74477mjzcYG257UA8Pjjj2P69OmYP3++EMxZuXIlPv74Y7z++usYMGCAy+M9+eSTOHfuHD744AN88MEHyM/Px4QJE1z6Wm7ZsgWXXXYZKisr8c4772Dt2rUYPHgwbrjhBpcASV5eHoYPH441a9Zg8eLF2LBhA1asWIGQkBBUVFRgyJAhwvnxt7/9TXhN+f32xHnBGMPVV1+Nl19+GfPmzcMPP/yAxYsX4+OPP8akSZNgMplctv/jjz/w8MMP46GHHsLatWsxcOBALFq0CNu3b2/zdenVqxfGjh2LTz75pFlwaeXKlUhISBAy4s+ePYubb74Z//3vf/H9999j0aJFeOmll3DXXXe1+Rwd0d457Ysvvohly5bhpptuwg8//IAvvvgCixYt6lLbECJhjBDiVStXrmQAWvxRq9Uu237xxRcMAFuxYgV7+umnmUqlYj/99JPLNkuXLmUA2EMPPeRy+6effsoAsE8++YQxxtjUqVNZYmIiq6qqctnu/vvvZwaDgZWXlwu3TZo0iYWGhrLi4uJW9+Oll15iANj58+fb3F+r1crMZjPr2bNnszG29hj8MWp6+6hRo1h0dDSrqalxeez+/fuzxMREZrfbXY7Hiy++6PKY9957LzMYDMJ2bRk/fjyLjIxkZrNZuO3hhx9mANipU6c6vK8t7c/8+fNZSkpKs8fgx99UR167ix08eJABYHv37m32u59++qnVc5H/0el0LseBMcauvPJKNmfOnFafkxBCiGfMnz+fBQQEtPq7i/+uAGCxsbGstrZWuO3bb79lANjgwYNd/iauWLGCAWCHDh1ijDFWV1fHwsPD2axZs1we02azsUGDBrERI0a0Odbz588zAOyll15qdZsbbriBAWBFRUWMMcbuuusuFhgYyC5cuOCy3csvv8wAsKNHj7o8dvfu3Zv9jeJ/t3LlSuG2xYsXMz8/P1ZZWSncduzYMQaAvf76662Oz2q1straWhYQEMBee+014favvvqKAWBbtmxpdp+LX4fS0lKm0+nYk08+6bLd3LlzWUxMDLNYLIwxxj777DMGgH3zzTcu2+3du5cBYG+99RZjjLGvv/6aAWAHDx5sddwtOX78OAPA7r33Xpfbd+/ezQC4jI+fi5SUlFzycfltW/rp3r27y7alpaUsMTGRjRgxgh04cID5+/uzW2+91WWbLVu2MABsyJAhLudnVlYW02q17I477hBuS09PZxkZGcIx5M2cOZPFxcUxm83GGGNs4cKFTKvVsmPHjrW6H/xxbnretMYd58XGjRtbnK/yc//33ntPuC0lJYUZDAaX90VDQwMLDw9nd9111yXHy89DV69eLdx25MgRBoA99dRTLd7HZrMxi8XC/vOf/zC1Wu0y17x4X1p6z/EAsKVLlwr/b++cdubMmWzw4MGX3DeiDLLJlNq+fTtmzZqF+Ph4cBznlUa7eXl5uPXWWxEREQF/f38MHjwY+/fv7/LjmkwmDB48GBzHdaiZ3l133QWO47BixQqX28+ePYs5c+YgKioKwcHBmDt3brOVwQ4cOIDJkycjNDQUERER+POf/9xsafhffvkFY8aMQVBQEOLi4vD444+7pEoDwJdffonBgwfD398fKSkpHmlQ6Sv+85//YO/evS4/u3fvdtlm7ty5uOeee/Doo4/i2WefxZNPPonJkye3+Hi33HJLs/tqNBps2bIFRqMRv/zyC+bMmQN/f3+Xb7GuvPJKGI1G7Nq1CwBQX1+Pbdu2Ye7cuZ2qL7darfjnP/+Jvn37QqfTQaPRQKfT4fTp0zh+/HiHHw8A6urqsHv3blx33XUuq8ep1WrMmzcPubm5zTKTLu6fNHDgQBiNRhQXF1/y+RYtWoTS0lKsW7dO2KdPPvkE48aNQ8+ePT26rxfryGvXki1btiAwMBBDhw5t9jv+8+zjjz/Gli1bmv3ExsZiwIAB0Gq1LvebOHEitmzZ4pb9I4QQ4lkTJ05EQECA8H++h+D06dNdysX52/kslh07dqC8vBzz5893+dtjt9sxbdo07N27F3V1dV0aG2uSlQU4sromTpyI+Ph4l+fky+a3bdvmsv1VV13V7G9USxYuXIiGhgaXzOqVK1dCr9fj5ptvFm6rra3F448/jh49ekCj0UCj0SAwMBB1dXWd/rseERGBWbNm4eOPP4bdbgcAVFRUYO3atbjtttug0WiEfQ8NDcWsWbNc9n3w4MGIjY0VVmcePHgwdDod/vznP+Pjjz9u94q4/N/tBQsWuNw+YsQI9OnTp8uZbz///HOzee3F12sRERH44osvcODAAYwZMwbJycmtrgx38803u5yfKSkpGDNmjLAfZ86cwYkTJ4T578Xzo4KCAmFuuGHDBkycOLHF/pnt4YnzYvPmzQCavx7XX389AgICmr0egwcPRnJysvB/g8GAXr16uZQQtmbu3LkICgpyqQL46KOPwHGckKkHONo2XHXVVYiIiIBarYZWq8Vtt90Gm82GU6dOdWY3XXRkTjtixAj88ccfuPfee/Hjjz+iurq6y89PpEs2Qam6ujoMGjQIb7zxhleer6KiApdddhm0Wi02bNiAY8eO4ZVXXmlzSdTU1FThD0ZbHnvsMcTHx3doPN9++y12797d7H51dXWYMmUKOI7D5s2b8fvvv8NsNmPWrFnCH778/Hz86U9/Qo8ePbB7925s3LgRR48edfkQPHToEK688kpMmzYNmZmZ+Pzzz7Fu3To88cQTwjYbNmzALbfcgrvvvhtHjhzBW2+9hVdffdVrr4nS9OnTB8OGDXP5aSlwsHDhQlgsFmg0GjzwwAOtPl5sbKzL/zUaDSIiIlBWVoaysjJYrVa8/vrr0Gq1Lj9XXnklAAjpxxUVFbDZbEhMTOzUfi1evBh///vfcfXVV+O7777D7t27sXfvXgwaNEhIPe+oiooKMMZaXMGFf09c3OMoIiLC5f96vR4A2jWG6667DiEhIUIq9/r161FUVNSswbkn9vViHXntWjJ8+HDU1ta2WE544MABGAwG3HzzzZgwYYLLz9ChQ1FUVNRiOeXevXuF3guEEEKkLTw83OX/Op2uzduNRiMACF9wXnfddc3+/rzwwgtgjKG8vLxLY7tw4QL0er0wlqKiInz33XfNnq9fv34Amv+9a+/Kbv369cPw4cOFv+s2mw2ffPIJZs+e7XIcbr75Zrzxxhu444478OOPP2LPnj3Yu3cvoqKiuvR3feHChcjLy8OmTZsAOHr5mEwml7l4UVERKisrodPpmu1/YWGhsO/du3fHzz//jOjoaNx3333o3r07unfvfsleO/w8qbW5VFd7RQ4aNKjZvPbixtoAMHLkSPTr1w9GoxH33HOPS8C0qYvntfxt/Dj58/ORRx5pdrz4xWr4Y1ZSUtLpeS3gmfOirKwMGo2m2RfAHMe57Cfv4nkt4Jjbtuf5/f39ceONN2Ljxo0oLCwUvmwdP3680IA9Ozsb48aNQ15eHl577TX8+uuv2Lt3r9DryR3z2o7MaZcsWYKXX34Zu3btwvTp0xEREYErrrgC+/bt6/I4iPTIZvW96dOnt7kyh9lsxt/+9jd8+umnqKysRP/+/fHCCy9gwoQJnXq+F154AUlJSS715y01Je6oDRs24KeffsI333yDDRs2tOs+eXl5uP/++/Hjjz82q0v+/fffkZWVhczMTGHVlZUrVyI8PBybN2/Gn/70J3z//ffQarV48803oVI54pBvvvkmMjIycObMGfTo0QOff/45Bg4ciKeffhoA0KNHDyxfvhw33XQTli5diqCgIGEZ37vvvhsA0K1bNzz++ON44YUXcN9997XYnJl0TV1dHebNm4devXqhqKgId9xxB9auXdvitoWFhUhISBD+b7VaUVZWhoiICISFhQlZRffdd1+L909LSwPgmKSq1WqXppcd8cknn+C2224T6up5paWlbQZ12xIWFgaVSoWCgoJmv8vPzwcAt6744ufnh5tuugnvv/8+CgoK8NFHHyEoKEhoYMnryr4aDIZm/QL4+zbVkdeuJaNHj0Z0dDTWrl3brNfGgQMHMHDgQOFb2qb4JucXB0rNZjM2btzYbJ8JIYQoC/939fXXX291NbuYmJhOP35eXh7279+P8ePHC3+HIiMjMXDgQDz33HMt3ufiL2c7Mve8/fbbce+99+L48eM4d+4cCgoKXLJEqqqq8P3332Pp0qUuX8qaTKYuB9+mTp2K+Ph4rFy5ElOnTsXKlSsxcuRI9O3bV9gmMjISERER2LhxY4uPERQUJPx73LhxGDduHGw2G/bt24fXX38dDz74IGJiYnDjjTe2eH8+qFFQUNAsQJOfn++1lfOWLl2Kw4cPY+jQoXj66acxc+bMFhdiKSwsbPE2fj/48S5ZssSlWXxTvXv3BuBYtbKz81pPnRcRERGwWq0oKSlxCUwxxlBYWOj2L/8WLVqE999/H//5z3/Qq1cvFBcX45VXXhF+/+2336Kurg6rV69GSkqKcHt7qnoMBgMANJvXXhxY68icVqPRYPHixVi8eDEqKyvx888/48knn8TUqVORk5MDf3//du03kQfZZEpdyu23347ff/8dn3/+OQ4dOoTrr78e06ZNa9ZUsL3WrVuHYcOG4frrr0d0dDQyMjLw/vvvd2mMRUVFuPPOO/Hf//633W8ku92OefPm4dFHHxW+JWrKZDKB4zghCwRwfDCoVCr89ttvwjY6nU4ISAGOi24ALtvwHyhNtzEajUKJT2vb5Obmtit1lHTc3XffjezsbKxevRoffvgh1q1bh3/9618tbvvpp5+6/P/LL7+E1WrFhAkT4O/vj4kTJyIzMxMDBw5s9k3WsGHDhD/y/AonX331VZsZOK1lHl18PgLADz/8gLy8vHY/xsUCAgIwcuRIrF692mVbu92OTz75BImJiejVq1ebj9FRixYtgs1mw0svvYT169fjxhtvbPa+7ci+Xiw1NRXFxcUupbZmsxk//vijy3Ydee1aolKpMHPmzGYp9FVVVTh37lyL2XlAY2nfxZlSmzdvRnV1dbPySEIIIcpy2WWXITQ0FMeOHWvxb8+wYcOE7KqOamhowB133AGr1YrHHntMuH3mzJk4cuQIunfv3uLzdbTSoKmbbroJBoMBq1atwqpVq5CQkIApU6YIv+c4DoyxZn/XP/jgA5eG3UDHsq+BxnYD3377LX799Vfs27dPWMiGN3PmTJSVlcFms7W473yA5eLHHTlypJDNcuDAgVbHMGnSJACOL9Sa2rt3L44fP44rrriiXfvSFZs2bcLy5cvxt7/9DZs2bUJISAhuuOGGFhu0f/bZZy7lnRcuXMCOHTuEhIPevXujZ8+e+OOPP1o9P/lA3vTp07Fly5Y2F6Fpa17rifOCP94Xvx7ffPMN6urq3P56jBw5Ev3798fKlSuxcuVKhISE4NprrxV+zwd4m+4nY6xd178xMTEwGAzCKpa8i79I7+ycNjQ0FNdddx3uu+8+lJeXN1udm8ifbDKl2nL27Fl89tlnyM3NFf5YPfLII9i4cSNWrlzZqW/0z507h7fffhuLFy/Gk08+iT179uCBBx6AXq/Hbbfd1uHHY4xhwYIFuPvuuzFs2LB2v5leeOGFNsu2Ro0ahYCAADz++OP45z//CcYYHn/8cdjtdiGrZNKkSVi8eDFeeukl/PWvf0VdXR2efPJJABC2mTp1KlasWIHPPvsMc+fORWFhIZ599tlm2zz00ENYsGABJk6ciDNnzgj9rQoKCtySSeZLjhw50qxnF+BIy46KisIHH3yATz75BCtXrkS/fv3Qr18/3H///Xj88cdx2WWXYcSIES73W716NTQaDSZPnoyjR4/i73//OwYNGoS5c+cCAF577TWMHTsW48aNwz333IPU1FTU1NTgzJkz+O6774TadgB49dVXMXbsWIwcORJPPPEEevTogaKiIqxbtw7vvvsugoKChFVSXnvtNcyfPx9arRa9e/fGzJkzsWrVKqSnp2PgwIHYv38/XnrppRbTplt7jJYsX74ckydPxsSJE/HII49Ap9PhrbfewpEjR/DZZ5+5PVNv2LBhGDhwIFasWAHGWLPSPQAd2teL3XDDDXj66adx44034tFHH4XRaMS///3vZhMcoGOvXUuuvvpqrFy5EoWFhUI6/IEDB1rMhOLt378fGo1GWJGIt3btWgwdOhRJSUmX3EdCCCHyFRgYiNdffx3z589HeXk5rrvuOkRHR6OkpAR//PEHSkpK8Pbbb1/ycbKzs7Fr1y7Y7XZUVVUhMzMTH330ES5cuIBXXnnFJTD0j3/8A5s2bcKYMWPwwAMPoHfv3jAajcjKysL69evxzjvvdLoMKzQ0FHPmzMGqVatQWVmJRx55xOUL2+DgYFx++eV46aWXEBkZidTUVGzbtg0ffvhhs+xnviztvffeQ1BQEAwGA9LS0tr8kmjhwoV44YUXcPPNN8PPzw833HCDy+9vvPFGfPrpp7jyyivx17/+FSNGjIBWq0Vubi62bNmC2bNnY86cOXjnnXewefNmzJgxA8nJyTAajUKvoD/96U+tPn/v3r3x5z//Ga+//jpUKhWmT5+OrKws/P3vf0dSUlK7Vihuy/79+xESEtLs9r59+yI4OBgFBQW49dZbMX78eCxduhQqlQpffPEFLr/8cjz22GPNeuYWFxdjzpw5uPPOO1FVVYWlS5fCYDBgyZIlwjbvvvsupk+fjqlTp2LBggVISEhAeXk5jh8/jgMHDuCrr74CAGEl6csvvxxPPvkkBgwYgMrKSmzcuBGLFy9Geno6unfvDj8/P3z66afo06cPAgMDER8fj/j4eI+cF5MnT8bUqVPx+OOPo7q6GpdddhkOHTqEpUuXIiMjA/PmzevS69GShQsXYvHixTh58iTuuusuIUmBH49Op8NNN92Exx57DEajEW+//TYqKiou+bgcx+HWW2/FRx99hO7du2PQoEHYs2cP/ve//zXbtr1z2lmzZqF///4YNmwYoqKicOHCBaxYsQIpKSku/V2JQojSXr2LALA1a9YI///yyy8ZABYQEODyo9Fo2Ny5cxljjasCtPVz3333CY+p1WrZ6NGjXZ73L3/5Cxs1apTw/7vuusvl+TiOYwaDweU2fpWE1157jY0ZM4ZZrVaX8WRmZra6n/v27WMxMTEsLy9PuC0lJYX961//ctnuxx9/ZN26dWMcxzG1Ws1uvfVWNmTIEHbPPfcI23z66acsJiaGqdVqptPp2COPPMJiYmLYCy+8IGzzyiuvsODgYKZWq5m/vz9bvnw5A8C++OILxhhjdrudPfbYY8xgMDC1Ws3CwsLYsmXLGAC2e/futl4y0kRbq+8BYO+//z47dOgQ8/PzY/Pnz3e5r9FoZEOHDmWpqamsoqKCMda46sn+/fvZrFmzWGBgIAsKCmI33XSTsJoN7/z582zhwoUsISGBabVaFhUVxcaMGcOeffbZZuM8duwYu/7661lERATT6XQsOTmZLViwgBmNRmGbJUuWsPj4eKZSqYTVRioqKtiiRYtYdHQ08/f3Z2PHjmW//vorGz9+PBs/fnyz52npMVparY4xxn799Vc2adIkFhAQwPz8/NioUaPYd99957JNayvGtPaYbXnttdcYANa3b98Wf9/efW3tudevX88GDx7M/Pz8WLdu3dgbb7zR4up7jHXstbtYfX098/f3d1nJhV/J6MCBAy3eJz09nQ0cONDlNrvdzhISEtg//vGPSz4nIYQQ9+vM6ntN57eMtb4qHr/q2VdffeVy+7Zt29iMGTNYeHg402q1LCEhgc2YMaPZdhe7eO7Nzx2HDh3KHnzwQWElvYuVlJSwBx54gKWlpTGtVsvCw8PZ0KFD2VNPPSWsItjWyn5trQTWdNXZllbTzc3NZddeey0LCwtjQUFBbNq0aezIkSMsJSWl2ZxsxYoVLC0tjanVapfna211XcYYGzNmDAPAbrnllhZ/b7FY2Msvv8wGDRrEDAYDCwwMZOnp6eyuu+5ip0+fZowxtnPnTjZnzhyWkpLC9Ho9i4iIYOPHj2fr1q1r8TGbstls7IUXXmC9evViWq2WRUZGsltvvZXl5OS4bOeu1fcAsE2bNjGr1crGjx/PYmJiWEFBgcv9+ZWY+Ws7/jz873//yx544AEWFRXF9Ho9GzduHNu3b1+z5//jjz/Y3LlzWXR0NNNqtSw2NpZNmjSJvfPOOy7b5eTksIULF7LY2Fim1WpZfHw8mzt3rstc+bPPPmPp6elMq9W6rBrnqfOioaGBPf744ywlJYVptVoWFxfH7rnnHmGOz0tJSWEzZsxotu+tza1bU1JSwnQ6HQPA9uzZ0+z33333nXDuJSQksEcffZRt2LCh2YqCLe1LVVUVu+OOO1hMTAwLCAhgs2bNYllZWc1W32OsfXPaV155hY0ZM4ZFRkYK1yGLFi1iWVlZ7d5fIh8cYxcteyEDHMdhzZo1uPrqqwEAX3zxBW655RYcPXoUarXaZdvAwEDExsbCYrHg7NmzbT5uWFiYUBufkpKCyZMn44MPPhB+//bbb+PZZ58VSnOKi4tdVgKYMGECXnjhBYwcOVK4LTU1FRqNRmiE3DSbw2azQa1W45ZbbsHHH3/cbDwrVqzA4sWLXb7FsdlsUKlUSEpKapZtVVpaCo1Gg9DQUMTGxuLhhx/Go48+6rJNUVERAgICwHEcgoOD8fnnn7v0yWGMoaCgAGFhYcjKykLfvn2xZ88el7pmm82GwsJCREVF4ZdffsGVV16JoqIiREdHt3l8iWcsW7YMzzzzDEpKSrzWD4DIz5w5c2CxWPD99993+jH27t0rrIZycQYVIYQQQkhXbd26FRMnTsRXX32F6667TuzhEEK8QBHlexkZGbDZbCguLsa4ceNa3Ear1TZr8tuWyy67rFnd8alTp1wav0VHR7sEYjQaDRISEtCjR49mj/fvf/9bKIcDHA0Fp06dii+++MIliNXUvHnzmqXhTp06FfPmzXNpzMjjAxKbN29GcXFxiz1f+KDbRx99BIPBgMmTJ7v8nuM4oQTys88+Q1JSUrOeMmq1Wmio/dlnnwmNlAkh0jV79mzcc889qK2tRWBgYKceY+3atUhNTaWAFCGEEEIIIcQtZBOUqq2txZkzZ4T/nz9/HgcPHkR4eDh69eqFW265BbfddhteeeUVZGRkoLS0FJs3b8aAAQOEJSY74qGHHsKYMWPwz3/+E3PnzsWePXvw3nvv4b333uvU+JOTk13+z18Udu/e3aU2Pj09HcuXL8ecOXMQERHRrAZZq9UiNjbWpe/OypUr0adPH0RFRWHnzp3461//ioceeshlmzfeeANjxoxBYGAgNm3ahEcffRTPP/+8Sy30Sy+9hGnTpkGlUmH16tV4/vnn8eWXXwrZZ6Wlpfj6668xYcIEGI1GrFy5El999RW2bdvWqWNCCPGeBQsWuCw93RnPPvusS3CdEEIIIYQQQrpCNkGpffv2YeLEicL/Fy9eDACYP38+Vq1ahZUrV+LZZ5/Fww8/jLy8PERERGD06NGdCkgBwPDhw7FmzRosWbIE//jHP5CWloYVK1bglltuccv+tObkyZOoqqrq8H2WLFmC8vJypKam4qmnnmrWrHDPnj1YunQpamtrkZ6ejnfffbdZA70NGzbgueeeg8lkwqBBg7B27VpMnz7dZZuPP/4YjzzyCBhjGD16NLZu3dqs4TbxrmXLlmHZsmViD4MQQgghhJAumTBhAmTYXYYQ0gWy7ClFCCGEEEIIIYQQQuRNdelNCCGEEEIIIYQQQghxLwpKEUIIIYQQQgghhBCvk3RPKbvdjvz8fAQFBYHjOLGHQwghhBCFYoyhpqYG8fHxUKmU+50dza0IIYQQ4g3tnVtJOiiVn5+PpKQksYdBCCGEEB+Rk5Pjsiqu1Lz99tt4++23kZWVBQDo168fnn766WYLk7SG5laEEEII8aZLza0kHZQKCgoC4NiJ4OBgkUdDCCGEEKWqrq5GUlKSMPeQqsTERDz//PPo0aMHAMequLNnz0ZmZib69et3yfvT3IoQQggh3tDeuZWkg1J8WnlwcDBNnAghhBDicVIvaZs1a5bL/5977jm8/fbb2LVrV7uCUjS3IoQQQog3XWpuJemgFCGEEEIIaZnNZsNXX32Furo6jB49usVtTCYTTCaT8P/q6mpvDY8QQggh5JKU28mTEEIIIUSBDh8+jMDAQOj1etx9991Ys2YN+vbt2+K2y5cvR0hIiPBD/aQIIYQQIiUUlCKEEEIIkZHevXvj4MGD2LVrF+655x7Mnz8fx44da3HbJUuWoKqqSvjJycnx8mgJIYQQQlpH5XuEEEIIITKi0+mERufDhg3D3r178dprr+Hdd99ttq1er4der+/wc9hsNlgsli6P1RfpdLo2l74mhBBCSKNOB6W2b9+Ol156Cfv370dBQQHWrFmDq6++Wvg9YwzPPPMM3nvvPVRUVGDkyJF4880329WEkxBCCCGEtA9jzKVvVFcfq7CwEJWVlW55PF+kUqmQlpYGnU4n9lAIIYQQyet0UKqurg6DBg3C7bffjmuvvbbZ71988UW8+uqrWLVqFXr16oVnn30WkydPxsmTJyW/3DIhhBBCiBQ9+eSTmD59OpKSklBTU4PPP/8cW7duxcaNG93y+HxAKjo6Gv7+/pJfjVBq7HY78vPzUVBQgOTkZDp+hBBCyCV0Oig1ffp0TJ8+vcXfMcawYsUKPPXUU7jmmmsAAB9//DFiYmLwv//9D3fddVdnn5YQQgghxGcVFRVh3rx5KCgoQEhICAYOHIiNGzdi8uTJXX5sm80mBKQiIiLcMFrfFBUVhfz8fFitVmi1WrGHQwghhEiaR3pKnT9/HoWFhZgyZYpwm16vx/jx47Fjx45Wg1LeXrb4QHYFnlx9GIlhfvhg/nCPPhchhBBCSFd9+OGHHntsvoeUv7+/x57DF/Blezab7ZJBKdPp06j64QfU79sHdUgotDEx8Bs6BMHTp4MTsS9VvaUeP2b9iOPlx3G64jT0aj1Gx4/G2ISx6B7aXbRxkc6xVlSgavVqmM6fhyU3Dyq9HoFXTELQ5MnQhIWJOrbzVefx9amvcbbyLPRqPQJ1gbgi+QpMTJpImYYywxhDQ+ZBVH23DuYzZ6EOD4cmKgpBkycjYOQIUcdWUl+CX7J/wfHy4zhTcQaxAbEYFT8KY+PHIi4wTtSxEQ8FpQoLCwEAMTExLrfHxMTgwoULrd5v+fLleOaZZzwxpBbZ7AwnCmtgstq99pyEEEIIIVJGF4Jd057jZykqQv7Dj6B+375mv6v43/9QvnIVYpY8Af+hQz0xxDZtz92OZ3c9i4K6Apfbf8//HS/vexmzus3CU6OeQoA2wOtjIx3DrFZUfP4FSl5/HfaqKpff1W7bhsJn/oGIRYsQ9dcHwKnVXh1bbk0u/m/X/2FH/o5mv1t3dh36hPfBXzL+gnGJ47w6LtI5DYcPI/+xx2E+f77Z7yo++QSB48cj+tFHoHcu0uEtdmbH16e+xqv7X0WdpU64/VDpIfx04SeoOTXuHnQ37hxwJ9Qq774HSCOPrr538R9lxlibf6iXLFmCxYsXC/+vrq5GUlKSx8bnp3WceHUmq8eegxBCCCGEEF79/v3I/euDsJWWAlotAseORdD/s3ef4XGc18H3/7N9F72zgSTYwAp2iaQKKVmi1eUmd8WKS4pLYvuJ7SixHceJo8climU7rnlc9bpFtihLlkRVUo2SSIJgAXsBQRIA0dv2Mu+HwSywrCi7OzfA87uuvWwRuzMHwM4A98E5577pLejRKJETDXQ/8gihffs4+YEPUvbZz1L6Vx/LSlzxRJyvbPsKm45uAmBKzhQ2ztzI3KK59IR7ePXMq2xr3sbjxx9nT/sevrX+W8wvnp+V2MTIxfv9nPrrvya4cycA7upq8t66EdfUqURbztK7+WnC+w/Q8eMfE9q3lyn/+Z9Zq5ra27aXT77wSTpDnWhorJ+2nhum30AsEeNk70keOfwIBzoP8PHnP87nV3+eexfem5W4xOj0PP4EzV/8Ino4jObzkX/zTeSsW0e8t4/QwQP0bHqM/q1b6X/tNaY99BB5N96Qlbh6I7185sXP8GbLmwAsKF7AtVOvZW7RXBp6G3jtzGvUtdXx33X/zbambXz9+q8zKWdSVmITqTKSlJo0yfhmtrS0MHnyYDlca2vredVTQ4122+LRynEbn34wEs/aOYUQQgghxJWp77nnOP2Zz0I0iru6mmnf+y6uc/4AW/Kxj9L67W/T88gfaHvwQTS7nZKPfDijcem6zr+9/m9sOroJm2bj3gX38vFlH8fnHGzlvHfhvew8u5MvvPQFTvae5L6n7+OXt/6SeUXzMhqbGLlEMMjpv/kbgjt3YsvLo/yzn6HwnnvQHINLv9K//it6n3ySpi9+Cf9r22i4593M/N1vcWR4ntyWU1v43NbPEYqHmF88nwfXP0hlfuo18LElH+N7dd/jd4d+xze2f4NANMBf1fyVVHEqqP3HP6HtwQcByF2/ninf/Ab2/PyU55R85KOc/Y//wP/KK5z++7/PSmIqFAvxqec/RW1rLV6Hl08t/xTvn//+lGqov136tzx+7HH+/fV/p7a1lo8+81EevvVhCj2FGY1NnC8jzepVVVVMmjSJZ599NvlvkUiErVu3sm7dukycclR8roFKqUgMXdctjkYIIYQQQqTb+vXraWhosDoMwkeOcObzX4BolLxbbmHmb359XkIKwFFaypR//3dK/+5TALR+85t0/vJXGY3todqH+MORP2DTbPzn+v/kH1b/Q0pCyrSyYiWP3PkIK8pX4I/6+dTzn6I92J7R2MTIJMJhTn/iEwR27MCWm8v0n/2Move9LyUhZcq/7TZm/vY3OKdNI3r6NKf//u/RI5GMxXa463AyIXXd1Ov4+S0/Py8hBVDoKeSfr/5nPrHsEwB8r+57/KL+FxmLS4xO33PPJRNSJR/7GNO+/9/nJaQA3LOqqPzhD8i79RaIRjn9939P/8svZyyuWCLG5176HLWtteQ58/jVrb/i3oX3XrA9787Zd/LInY8wJWcKJ3tP8vcv/j2ReOauAXFho05K9ff3U1dXR11dHWAMN6+rq6OxsRFN0/j0pz/Nf/zHf/Doo4+yb98+7rvvPnw+H+9///vTFfuYmUmphI7MlRJCCCGEmIAaGhqYOXOmpTHEe3o49clPogcC+NauYeq3vontMgPlyz7+cUo//rcAnP2//5fgwO/c6fbokUf5f/uMAfr/svZfuGnGTZd8fqGnkO/c+B1m5M+gyd/E37/494Tj4Uu+RmRP2399G/9r29B8Pip//GO8ixdd8vmeefOo/PGPsOXmEtyxk5YHHshIXP2Rfv7Plv9DKB7iminX8J0bv3PJuWSapvE3S/+Gz640Rrs8VPsQ+9r3ZSQ2MXLh4ydo+sI/AlD0F/dS/n8+e8m5ZJrDwdRvfpO8W4zEVNPnPk+0tTUjsf3njv9ky6ktuGwuvnPjd6gurr7k8yvzK/nvt/w3uc5caltr+ZfX/kUKVrJs1EmpHTt2sHz5cpYvXw7AZz/7WZYvX86Xv/xlAD7/+c/z6U9/mo9//OOsWrWKM2fO8Mwzz5CXl5eeyNPA5xr8i0FAWviEEEIIIca9+vp61qxZw9KlS3nwwQczOp90OHRdp+kL/0j0ZCPOKVOY+uCDF6xauZDST32K/DvugESCpn+8n0QwmNbYzvrP8o3t3wDg48s+zjvmvmNYrytwF/C9G79HviufPW17+G7td9MalxidwI4ddP7CqCia+q1v4VuxfFivc8+axZRvfgM0je7f/JbuTZvSGpeu63xl21do6G2gwlfBA9c9gMM2vGvgvkX3sXHGRmJ6jC+89AUC0UBaYxMjlwgEOP2pT5Hw+/GtWkXF5z43rNdpDgdTv/F13AsWEO/upvlLX0p78mfn2Z08fOBhAL5x/TdYNWnVsF43p2gO/7nhP7Frdp44/gR/PvHntMYlLm3USakNGzag6/p5j5///OeAkd3+yle+QnNzM6FQiK1bt7J48eJ0xZ0WdpuGy2F8CQIRGXYuhBBCCDGeBYNB3vve9/LTn/6U3bt3s2XLFmpqai76/N///vfJXaOHY9OmTTQ2No4opr7Nz9C/ZQuay8W0//7eiIZJa5rGpC99EUdFBZGGBlr/88ERnftSzDlS/dF+lpQu4a+W/NWIXj+zYCb/ce1/APDwgYc51HkobbGJkUv4/TTd/0+g6xS84x0jntmTd8MNlH7qkwC0fv0bxLu70xbbUyeeYnPDZhyag2+t/xZFnpFdA19e+2Um5Uyisa+RB97MTCWXGL72H/+YyLFjOMrLmfrt/0JzOof9Ws3lYsrX/y+a04l/60t0//5/0xZXKBbiX177FwDeOfedvGXGW0b0+nVT1vHxZR8H4Jvbv0lPuOcyrxDpkpGZUuNJzkALnww7F0IIIYQY3x599FE2bNjAwoULAaiurr5oUqqxsZF7770Xr9c77OM/9thjfP/73x/28xOBAGe//nXAmLniWbBg2K812QsKmPy1rwHG1uqB7dtHfIwLeeL4E2w9vRWnzclX1311VNuhr69cz80zbiaux/nq618locs4DKu0/te3iZ46hWPyZCru/8dRHaP0Yx/DPXcO8a4uWh96KC1xBaIBHtxpJFP/eulfs6x82YiPUeAu4IFrH0BDY9PRTdSerU1LbGLkIo2NdP6/nwIw6ctfwlFaOuJjeObNo+yzRlvm2a9/nejZs2mJ7Qe7f8DJ3pOUe8v57KrPjuoYf7noL5lVMIvOUCf/tfO/0hKXuLwrPilltvD5JSklhBBCCDGu1dfXpyShamtrL5qUeuyxx1i/fj0FBQXDPv7b3vY2HnvssWE/v/3HPybW3Ixz6lRKPvbRYb/uXLnXXkPhu98NwNlvfmvMLS+BaIBv7fgWAH+z9G+YUzRn1Mf6wuov4HP42NO2hz8c+cOY4hKjEz5xgq7f/AaAyf/+b9hHOS5Fczqp+NKXAOj+7e8I7qsfc2y/qP8FZwNnmZIzhfsW3Tfq46yatIp3znsnAP+58z9l5o9Fzj7wf9GjUXKuuYbct4ysEmmo4g/9Bd5ly9ADAdq/999jjutY97HkMPwvrvki+a7zB64Ph9Pu5MtrjXFEfzjyB0mAZokkpQYqpaR9TwghhBBifCspKWH//v0APPPMM2zZsoUlS5Zc8LmbNm3i7rvvTvm33/zmN3g8Hs6cOZP8t49+9KPU1NTQ09PDxo0baWxs5PDhw5eNJXLmTLKioOKf7sfm8Yz20wKg7O8+hebzEdqzh77nnhvTsf6/A/8fnaFOpudN5y8X/+WYjlWRU8Gnlhs7BT5U+xD+qH9MxxMj1/7d70I8Tu6GDeRec82YjpVz1VXGHDNd5+y//duYkj8t/hZ+us+4Bj676rN4HGO7Bj6+9ON4HV72tO3h2ZPPXv4FIq36X3qJ/hdfBIeDin/+JzRNG/WxNJuN8s8bs6i6//hHwsdPjCm2H+z+AXE9zg2VN3DD9JG1rp5rZcVK3jl3IAG6QxKg2SBJKTMpFZZKKSGEEEKI8eyDH/wgL730EitWrODhhx+mqqrqgpvsdHd38/LLL5+XlHrve99LdXU1DwzsQPav//qvbN68maeeeoqCggK8Xi8333zzsKqlun/zW6Oi4Npryb3xxjF/bo7SUoo/9BcAtH37IfTY6P6g2hvp5Wf1PwPgb5f9LU7b8OfBXMx757+XGfkz6An38LtDvxvz8cTwhfbvp/fJp0DTKPvMp9NyzPLPfQ7N5yO4ezf+V14Z9XG+U/sdQvEQK8pXsHHGxjHHVeYrS1ZbPVT7ENF4dMzHFMOj6zqtDxrtbMX33ot71qwxH9O3YgW5N9wA8Tht3/72qI9zqPMQmxs2A/DJ5Z8cc1zmcTx2D3va9/Ba02tpOaa4OElKDbTvBaKSlBJCCCGEGErXdQLRgCWP0fx1ury8nJ07d1JbW8svf/lLjh49esHnPfHEE9TU1DBt2rSUf9c0ja997Wv8z//8D//xH//BQw89xNNPP83UqVOTz7n77rsvm5TSYzH6tmwBoOzv/25MFQVDlXz4w9gLCogcO0bPY38a1TF+tf9X9EX6mF0wm1tn3pqWuBw2Bx9b8jHAaNcKxtK7S6C4uNaBxXz+7bfjqa5OyzGdFeUUvec9ALT/8EejOsbpvtM8eeJJAD6/+vNpuwbuW3QfJZ4SGvsapV00i/wvvUT44EFsPh+lfz2yTREupewznwZNo++ZZwju3TuqY/xg9w8AeOvMtzKvaF5a4ir1lnJP9T3J40u1VGYNby/OCWywUkra94QQQgghhgrGglz966stOfcb738Dn9OXkWM/8cQT3HnnnRf82B133MHChQv513/9V5555hkWLVqU8vE777yTj33sY3R0dFBSUnLBYyT6+9HicXLWrcN7kfbB0bDn5VHyV39F6ze/Sfv3v0/B3XehOYb/63x3qJtf7f8VAB9f9vFRDTe/mNtm3cYPd/+Q0/2n+d9D/8tfLPqLtB1bXFhg1y78L70MDgdln0pPhYip+L776Hr4YYI7dxLYvh3f6tUjev0v9/+SuB5n3ZR1LCpddPkXDJPP6eOvav6KB958gF/U/4J75t2T1vexuLD2H/0YgML3vAd7YWHajuuZN4+Cu++mZ9Mm2v/7+1T+8Acjev3+jv083/g8Ghp/u/Rv0xYXGEPPf3/o9+xu283rza+zdsratB5fDJJKKfdApZQMOhdCCCGEGJc0TRv2A2DKlCkpc6OG2rx5MwcPHiQej1NRUXHex8+cOUNubi75+RcepKtHoyQCAQBK/vqv0/QZDir6wPuxFxYSPXOGvhdeGNFrf3PoN/ijfqqLqrlpxk1pjctpc/LRJcYw95/V/4xQLJTW44vzdf7ilwAU3H0Xrhkz0npsZ0U5Be98BzDyaqnOUCePHnkUYMwzyy7k7XPfToG7gNP9p3nx1ItpP75IFdixg2BtLZrTSfF996X9+CUDlVf9W7cSaWgY0Wv/Z+//AHBr1a3MLpyd1rjKfGW8a967APjh7h9KtVQGSaWU08isB6V9TwghhBAihdfh5Y33v2HZuYdrpIuFt73tbbznPe9B1/WUtqLa2lruuecefvSjH/Hb3/6WL33pS/zv//5vymsfe+wxbrvtNpzOC89iinV3A+BZsADfVSOrLhkOm8dD4XveQ8ePfkTnL39J/sbhzeqJxqP87yHjc7lv8X3YtPT/bfqu2Xfxoz0/otnfzJ+O/Yl3V7877ecQhmhzM33PGsO+i//iQxk5R8lHP0r3/z6C/9VXCe7dh3fJ4mG97rcHf0soHmJhyUKunpT+Skuvw8u7572bn+z9Cb/c/8u0J1hFqvYfG1VSBW97G86K8rQf311VRe769fRv3Urnrx5m0pe+OKzXNfc383zj8wDJhHi6mdVSta217Gnfw9KypRk5z5Xuiq+U8g607/mlfU8IIYQQIoWmaficPkseY51Bs379ehoaGjh+/DiPP/54yseuueYaYrEYr7/+evLfGhoauP322/nHf/xH7r33Xr761a/yhz/8gZ07d6a89kK79pn0eJxETw8Ahe9+d9rm6Jyr6P3vA4eD4I6dBOvrh/Wa5xufpy3YRomnhLfOeGtG4nLanXxwwQcB+P2h30tlQQZ1/frXEI/ju/pqPNXpmaNzLte0aRTccbtxvod/NazXBKIBfn3w1wB8ePGHM3YNvG/++3DYHOxq3cWetj0ZOYeA8JEjRouozUbJRz+SsfMU32ckVrsffZR4b++wXvO/h/+XhJ5g9aTVzC2am5G4KnIquLXKmL33+0O/z8g5hCSlyHEPzJSS9j0hhBBCiAmjoaGBmTNn8tRTT3Hw4MGUj9ntdu64447kwPLOzk5uvfVW7rrrLv7pn/4JgJUrV3LnnXfyz//8z8nXnTp1ivr6em699cIDwuO9veiJBNjtGamSMjkrKsh/q5FY6vrl8JIFZqLgnup7cNrHvuPexdw9527cdjeHug6xu213xs5zJUsEg3T93qh6K/6LezN6rqIPfACA3qeeJtbVddnnP93wND3hHqblTuOm6ZmrYCrzlXFb1W2AMb9KZIb5Psu98Ya0t4gO5VuzBvfcueiBAN2PXH6AfTge5pHDjwDw/vnvz1hcAO+pNob+P33iabpD3Rk915Xqik9KJXffi0illBBCCCHEeFVfX8+aNWtYunQpDz74IJWVlWzdupUvfvGL/OQnP2H58uUEg4O7wt19991s2rQJgOLiYg4cOMCPfpQ6O+exxx7j6aefTv73pk2b2LBhw0XnScU7OwGw+Xxotsz+ml38IWOQeM+TTxJra7vkcw90HGBX6y4cmoN75t2T0bgK3AXcMvMWQCoLMqXnT4+T6OnBOW0auRs2ZPRcniVLcC9YgB6J0HOZXScB/nDYSCi8u/rdGR9A/hcLjWvguZPP0Ra49DUgRi4RCiW/5+ZujJmiaVryntb58K/QY5dem29u2ExXuIsKXwUbKjdkNLYlpUtYULyASCLCpqObMnquK5UkpVxSKSWEEEIIMZ4Fg0He+9738tOf/pTdu3ezZcsWampqWL9+PYsXL+b5559n165deL2Dc6o2btxIY2PjeVVUl/LYY49x1113XfBjiWCQRDAImobNl5ldA4fy1tTgXboUolG6H910yef+5uBvALh5xs2U+9I/E+ZcZmXB5obNUlmQAV2//S1gVDFp9swmfjRNSyYkun936ZbMw12H2dO+B4fm4M7ZF97dMp2qi6tZVraMuB7n8eOPX/4FYkT6Nm8m0duLc8oUctaty/j58u+8E3thIbGmZvzbtl3yub85YNzT3lP9Hhy2zI7J1jQteU/7/eHfk9ATGT3flUiSUpKUEkIIIYQY1x599FE2bNjAwoULAaiurqampgaA06dPU1lZed5rfD4fgUCA+fPnD/s8zz33HJ/4xCcu+DGztcmWk5vxRIGp8B5jZ6ieTZsumizwR/083WBUe71vwfuyEtfi0sVSWZAhoYMHCR84gOZ0Uvj2t2XlnPl33IHN5yNy4gSB7dsv+jxzx70NlRso9ZZmJba3zXlb8twywyy9zNa9wnvelZV7ms3tJv+OOwDoefTRiz7vQMcB9nXsw2lz8o6578h4XGDs7pfnzONU3ym2NV06YSZGTpJS0r4nhBBCCDGu1dfXJ5NQYOyiV1NTw+nTp5k6dWrGz6/H4yQGdt2zF1y4tS8T8m65Bc3jIXL8OKE9Fx72/NzJ5wjGgszMn8mysmVZiWtoZcEjRx6RZEEa9QxUxeXecAP2wsKsnNOem5NMFnT/9ncXfE44Hk5WK71z3juzEhfAW2e+Fa/DS0Nvg8wwS6Pw0aMEd+4Eu52Cd2Qn8QNQ+I63A9D33PPEBzaNOJf5PttQuYESb0lW4vI5fdw9x9jg4g9HLj/zSoyMJKUGKqWCUiklhBBCCDEulZSUsH//fgCeeeYZtmzZwpIlSzhx4gRTpkzJ+PnNAeeay5WV1j2TPTeXvI03A8auVRfy+DFjAXfHrDsythPahdxadSteh5eTvSfZ174va+edyPRolJ4nngCg4G1vy+q5C9/zbgD6nn32grujPX/yeXrCPUzKmcTayWuzFleuK5ebZxjXgFTlpU/3/xpDxHM3bMBZUZG187oXLMBdXY0eidD71FPnfTyWiPHk8ScBuGv2hVupM8VMSm09tZW+SF9Wzz3RXfFJKe9AUsovSSkhhBBCiHHpgx/8IC+99BIrVqzg4Ycfpqqqiry8PBYvXsyRI0dYsmTJiGZHjZT5F317YWFWEz8AhQPJid4nnyIRDqd8rMXfwpstbwJwx+w7shqXz+lLDiD+84k/Z/XcE1X/y68Q7+jAXlxM7nXXZvXc3kWLcM+dgx6N0vfss+d93EwIvX3O2zM+4PxcZgvf0w1PE4gGsnruiUiPx+l50rhmC9+ZvSopMKosCwbaUrv/eH6ifVvTNjpCHRS5i7hm6jVZja26qJrZBbOJJCI8d/K5rJ57orvik1I5A+17UiklhBBCCDE+lZeXs3PnTmpra/nlL3/J0aNHASgqKmLXrl3s3bt3RLOjRkKPRkn09wNgLyjIyDkuxXf11TgmTybR20v/Cy+kfOyJ40+go7OqYhVTczPfxniuO2YZibCnTjxFLCGjMsaqZ2C3yII770RzOrN+/vzbje9n759Tk4wdwQ7eaHkDgDtnZX7A+blWVayiMq8Sf9TPc42SLBirwPbtxNvasRUUkHttdpOfYLy/cTgI7dlDeOBebjJb926tuhWnLbvXgKZpyeT+E8efyOq5J7orPinlS1ZKyQ9KIYQQQggxMmYrk83rxeZ2Z/38mt1OwcCOgENb+HRdT7buZWMntAtZO2UtRe4iOkOdvNH8hiUxTBTx7m76X3wRIFlJkm35d9wOgP/1N4i2tib//dmTz5LQEywuWUxl/vmbCmSapmnJ9/jTJ57O+vknGjPpmL/xZjSXK+vnd5SUkHv99QD0PPan5L/7o35ebDSuAavuabdV3QbA9pbttPhbLIlhIpKklNscdC6VUkIIIYQQYmTi3QOtexZUSZkK7jZmnfhf20Z8YOD6/o79HO85jtvuTs7cyWoumsgAAKX6SURBVDanzcnGmRsB+PNxaeEbi77nnkOPRnFXV+PJUNXf5bimTcO7bBkkEvQ9PZj8eeqEMfvnlqpbLIkL4K0z3goY7V094QsPyBaXp0ci9D5jtGfm3367ZXEU3DlQlbd5c3KjhGdPPksoHmJm/kwWlSyyJK4puVNYUb4CHT35vhdjJ0kpp1EpFYkliMUTFkcjhBBCCCHGi0QkQiJozLCxWZiUcs+qwj1vHsRi9L1gVBJsPrkZgPXT1pPnyrMsNrOF7/nG5wnGgpbFMd71bn4GgPxbrUv8wGCioucJI8nY4m+htrUWMHbCs8qswlnMLZpLTI/xQuMLl3+BuKD+V14l0dODo6wM3+rVlsWRe/31aB4P0cZGwgcOAINVcHfOvjPrs/uGun2WcQ1Ioj19JCnlHhzEF4hKtZQQQgghhBgec8C5LScHmwUzfobKe6tRkdQ3UFlgDuK9eaY1VVKmpWVLmZo7lUAswNbTWy2NZbyK9/Tg37YNgLyN1iV+YCApZrMR2rOHSGMjzzQYybIV5SuYlDPJ0tjMaikzIStGzmzdy7v1FjR7dgfWD2XLySH3uuuMmJ7eTG+kN9kCvHHGRsviAiP56rA5ONR1iBM9JyyNZaK44pNSLrsNu83ItMqwcyGEEEKo7IEHHmD16tXk5eVRXl7O2972Ng4dOmR1WFesRI/1rXum/LcaC/L+117jUGMtp/pO4ba7uX7q9ZbGpWlasoXvhZNSwTIafS+8CLEY7rlzcc+qsjQWR2kpOWvXAtD71NM83WBUr1jZumcy32dvNL0hLXyjkAgG6TPnllnYumfKu8W4p/VufpqtjVuI6THmFM5hZsFMS+MqcBdw9aSrAaMCVIzdFZ+U0jQt2cLnD8uwcyGEEEKoa+vWrXziE5/g9ddf59lnnyUWi7Fx40b8fr/VoV1xEpEIiVAI0LDn51sdDu45c3DNmQ3RKPse+zkA66asw+f0WRsY8JbpbwHgpTMvEYlHLI5m/OnbbFT+mIt0q+VtNJI/Hc88xd72vdg0m2Vzy4aqKqhiXtE8aeEbJf+rr6IHAjinTMFTU2N1OOSu34DmdhM92Ujta8YmDjfNuMniqAw3Tr8RgOdPSlIqHa74pBQMtvDJsHMhhBBCqOzpp5/mvvvuY9GiRSxdupSf/exnNDY2snPnTqtDu+IkzF33cnxoDofF0RjyB1q7tBdfB1AiUQCwpHQJZd4y/FG/7MI3QvG+PvyvvgoMVsNZLe/GG0DTSNQfpKhPZ2XFSkq9pVaHBQzOtdrcIC18I9X3vJHIy73pLZbObDLZc3PIue5aANxbjZ9xN01XJymlobGvY5/swpcGkpQCfC7ZgU8IIYQQ40/PQPtYcXGxxZFceeK9fQDY86wbIn4us5JmzuF+8qJ21leutzgig02zDVYWSLvLiPRv2YIejeKaPRv3nDlWhwOAo6wM79KlAKw6onND5Q0WRzTInDf0RvMb9EZ6LY5m/NBjMfoHWvfybnyLxdEMyn+r0Ra6+kCUytxpzCuaZ3FEhlJvKcvKlwFyT0sHSUoBPpdZKSXte0IIIYQYH3Rd57Of/SzXXnstixcvvuBzwuEwvb29KQ8xdnosRiJgtEzaFGjdM7nnziUwpQhXHN7VPot8lzqxmUmpF0+9SDwhfwgerr5nBnbde6u1w53P5bzBqGBZfVhnQ+UGa4MZYmbBTKoKqojpMV4785rV4YwbwV27iHd3YysowLdqpdXhJOXesIG4w8aUTrjbtVqJCi6T2ZYsraJjJ0kphial5AekEEIIIcaHT37yk+zZs4ff/OY3F33OAw88QEFBQfJRWVmZxQgnrnifUSVl83iwuVwWRzNI0zRq5xkdAGsb1IkLYPWk1eS58ugMdbK7bbfV4YwLiXCY/leNxEquQtUrAHsXeAFYclJnim79oP+hNkzbABgJUDE8Zute3ob1yrQjA8S8TvZPNxJR15xwWxxNKjPRvuPsDrpCXRZHM75JUgpp3xNCCCHE+PKpT32KP/3pT7z44otMmzbtos+7//776enpST5OnTqVxSjVsH79ehoaGtJ6zISZlFKoSgqgLdDGM9M6ASjadQI9rs7vtk6bk/XTjHZCaXcZnsCb29EDARzl5XgWLbQ6nBTPJPZxqhTsCeh/6WWrw0lhVm69cuYVYgnphLkcXdfpe964JnPfolbyc2fLTt6crQOQ++ZBi6NJVZlXSXVRNQk9wZZTW6wOZ1yTpBTSvieEEEKI8UHXdT75yU/yxz/+kRdeeIGqqktvD+92u8nPz095XGkaGhqYOXNm2o6nJxLE+/oBteZJAbx85mUOT4Wg147e00uwrs7qkFKY7S5SwTI8/Vu3ApC7fr1SbUuReIRXz7zK9nlGTH3PPWdxRKmWli2l0F1Ib6SXXa27rA5HeeEjR4ieOoXmdpN77bVWh5PipTMvUTvHeJ+ZLYYqSe4sevoliyMZ3yQpBXilfU8IIYQQ48AnPvEJHn74YX7961+Tl5dHS0sLLS0tBINBq0NTRn19PWvWrGHp0qU8+OCDaW9ZTPT3g55AczrRPJ60HnusXjr9EgmbRu8KYyB2/5Yt1gZ0jrVT1uKwOTjVd4qTvSetDkdpuq4nv3+5N2ywMpTzvNnyJoFYgKOLjQ0W/C+/jB6JWBzVILvNznVTrwNg66mtFkejvv4XjNa9nLVrsfl8FkczSNd1Xjr9Em2FGtGZkyEep/+VV60OK8V104z32bbmbUTjUYujGb8kKQXkSPueEEIIIcaBH/zgB/T09LBhwwYmT56cfPzud7+zOjQlBINB3vve9/LTn/6U3bt3s2XLFmpqai76/N///ve0tAx/O+9NmzZx4uAhwKiSUq165bUmY/5Q2U23AuolpXKcOaysMIYov3xarZYv1USOHSN6+jSay0XOmjVWh5PCbFWquvpm7CUlJPx+ArvqrAzpPGYL39bTkpS6nP4tAxV5N6iziyJAQ28Dp/pO4bQ5KXmLsbOouUOgKhaWLKTYU4w/6peqvDGQpBRD2vfC0r4nhBBCCHXpun7Bx3333Wd1aEp49NFH2bBhAwsXGvN3qqurL5qUamxs5N5778Xr9Q77+I899hg//J+fAGBTrHVvx9kdBGNBSjwlzLv13WC3Ez5ylMjp01aHlsKsYHn5jCSlLsVMKPrWXK1c9corZ14BYP30DeReew0A/pfVal9aN2UdDpuDht4GTvScsDocZcW7uwnu2QNA7vXXWRxNKrMlblXFKoreYuw+2f/yy+gxddbsNs3GtVONlke5p42eJKUYMug8KpVSQgghhBDjVX19fUoSqra29qJJqccee4z169dTUDD8ncPuuu02nnjuOdA0bDk5Y443nczKo+unXY+zsAjfihXAYBWEKsyk1PaW7QSiAYujUVef2bq3YYOlcZyrobeBM/1ncNqcrJ60mpzrrgfUG3ae68pldcVqQOb9XIr/tdcgkcA9dw7OyZOtDifF0Huad2kN9qIiEr29BHepVZGUTLRL9eeoSVIKqZQSQgghhJgISkpK2L9/PwDPPPMMW7ZsYcmSJRd87qZNm7j77rtT/u3s2bNomsZDDz3E8uXL8Xg8LFq0iFdeMSpDblqzhlMtLRw7exbNptav0ebC+/ppRpLATGao1sJXVVDF1NypRBNRtrdstzocJcW7uwnWGgvvvPXrLY4m1atnjJk+KytW4nP6yLlmHdhshA8fJjqCVthsMCtYzLZWcT4zmWgmF1XRH+ln59mdgHFP0+x2cq8fSIBuVSvRvnbKWmyajWM9xzjTf8bqcMYltX6aWsTnlkHnQgghhBDj3Qc/+EFeeuklVqxYwcMPP0xVVRV5F2iz6+7u5uWXXz4vKbVr4C/w3//+9/mv//ovdu/ezcyZM/nABz5AIpHAFY9z45o1/PkltSovGnoaaOxrxGFzsHbKWmCwFSewfTuJcNjK8FJomibtLpfh37ZtsHpl6lSrw0nxSpORoDW/h46iIrwDid/+l9X6fl4z1Wgt3Hl2J6FYyOJo1KMnEvQPJNxzr1Nr171tzduI6TFm5s9kev50AHKuM+5p/a+qlWQscBewrGwZAK+cfsXaYMYpSUoxpFJKklJCCCGEEONWeXk5O3fupLa2ll/+8pccPXr0gs974oknqKmpYdq0aSn/vnv3bpxOJ08//TQbNmygurqar371qzQ2NnK6sZGE388dN9zA4888k41PZ9hebTKqV1aUryDHabQVuubMwVFejh4OE9ixw8rwzjO03UXXdYujUU//q8b3M+catRIFoViIHS3Ge+maKdck/91MFvgVa+GbVTCLcl854Xg4WXUjBoUPHiTe3o7m8+FdudLqcFKYFXlm8hMgZ52RcA8fOECsvd2SuC7G3IVPEu2jI0kphsyUikj7nhBCCCGESdd1EoGAJY9MJiueeOIJ7rzzzvP+va6ujne84x1UVVUl/83tdgOQCARA17n95pt5/c036ejoyFh8I/V60+sAySopMCqScq4ZGEKtWGXB6kmrcdlcNPmbON5z3OpwlKLrevL7ZX7/VLHz7E7C8TAVvgpmF85O/rtZled/7TX0SMSq8M6jaVoyeWYmbsWg/peNqp6cNWuwuVwWRzNI13W2NW0DBqvdABzFxXgGNrHwv6bWPc1MtL/R/AaRuDrXwHjhsDoAFUillBBCCCHE+fRgkEMrrPkLenXtTrRh7jqmadqwj6vrOlOmTOHMmfNnf9TV1fGhD30o5d9qa2spLS1lcn4+ie5uWvr6yM3NJT8/f9jnzKRoIsqbLW8Cxo5jQ+Vccw09jz6K/9VXgc9ZEN2F+Zw+VlasZFvzNrY1bUtJcFzpIicaiDU3ozmd+FapVb1i7rp37dRrU645z+LF2IuKiHd1EdhVR87VV1kV4nnWTV3Ho0cfTSY5xKD+gR0TVWvdO9l7kiZ/E06bk5UVqddAzrXXEtq/H/+rr1Jw110WRXi+eUXzKPWW0h5sp661jqsmq3MNjAdSKYUkpYQQQgghxjNd14f9AHjb297G448/nlKNFQwGOXLkCPH44O+DiUSChx56iA996EPoAWOnuCe2bOG2227D6XRm95O8iD1tewjEAhS5i5hfPD/lYznr1oKmET50iGhrq0URXphZ1fV68+sWR6IW/0DrnnfVSmxer8XRpDKrjYZWrwBoNttgVd42tSpY1k5ei4bG0e6jtPjVGsRupXhfH8FddcBg+6UqtjUbCcTl5cvxOlKvAfN91v/qa+iJRNZjuxhN01gzeQ0g97TRkEophrbvSVJKCCGEEMKkeb1U11ozi0Ub44J8/fr1/OIXvyCRSFBfX5/SrnfNNdcQi8V4/fXXWbvWSI7s3bsXTdN4+OGHufHGGyksLOTLX/4y3d3d/NPnP4/e2gpo/Ompp/jCF74wptjSyawAuXry1di01L83m+0uofp6Atu2UXDOYHcrmQu47S3biSaiOG1qJPmsZialchVr3Wvub+ZEzwnsmp2rJ1993sdz1q6l94knjCHtn/509gO8iAJ3AYtLF7O3fS/bmrbx9rlvtzokJQS2b4d4HNeMGbjOma1nNfOeNrQd2eRdvgzN5yPe3k748GE88+ef9xyrrJm8hieOP8Hrza/zd/yd1eGMK1IpxdBKKZkpJYQQQghh0jQNm89nyWMkLXkX0tDQwMyZM3nqqac4ePBgysfsdjt33HEHjz32WPLf6urqmD9/Pl/84hd517vexapVq7DZbGzbto18h/EHzDNdXdTX13PrrbeOKbZ0MqsKzm3dMw1WFqg1U6e6uJoidxGBWIC9bXutDkcJeiSC/02jFVO1eVJm9cei0kXku85vXc1ZayQZQ3v3Ee/tzWpsl2NeGzJXapB/m/H99A1831QRS8TY3rIdMKrczmVzuchZvRoYTOCqwky013fU0xPusTia8UWSUgxWSgWjcRIJ2QFECCGEEGK8qa+vZ82aNSxdupQHH3yQyspKtm7dyhe/+EV+8pOfsHz5coLBYPL5d999N5s2bUr+9+7du1myZAkf+MAHOHPmDH6/n9/97neUl5eT8PsBeOKlrWzYsEGZeVK9kV72te8DLlxVAIPJDf9r25Rqd7FptmTFjbS7GAJ1deiBAPaSEtzV1VaHk8L8Hl096fwqKQDnlCm4Zs6ERMKowlGI2W74evPrJHR1rgErBV43ktk5ay5837DKvvZ99Ef7KXAXnNeObMq51piBpVpSqiKnglkFs0joiWRiTQyPJKUYrJTSdQjFpIVPCCGEEGI8CQaDvPe97+WnP/0pu3fvZsuWLdTU1LB+/XoWL17M888/z65du/AOaQncuHEjjY2NySqquro6ampqzju2ruvJpNTjzz3HXQoN132z+U0SeoKZ+TOZlDPpgs85t91FJTKDJVVy171169Bs6izTdF1PDtM3v2cXYlbd+F9Ta6j44tLFeB1eesI9HO5S6xqwQrS1lfCRo6Bp+BQaSg/wWpNxDVw96WrsNvsFn2Mm2gM7dpIIhbIW23DIPW101LnbWcjrHHzDy1wpIYQQQojx5dFHH2XDhg0sHNguvLq6OplgOn36NJWVlee9xufzEQgEmD9/Prqus3fv3gsnpcJh9FgMbDaee/55PvGJT2T2kxkBc/bKxVr3wGh3MXdx87+u1kJpzRRjAbenbQ/9kX6Lo7Ge36xeWatW9crxnuO0B9tx290sLV960eeZcfu3qZWUGrqL2xvNb1gcjfUCbxhfA8+CBTiKiiyOJtWl5kmZXFUzcVRUoEciBOvqshTZ8Jhxy26PIyNJKcBm05KJqaAkpYQQQgghxpX6+vqUhFJtbS01NTWcPn2aqVOnXvb1mqbR29vLbbfddt7HEv1GssTm8ylVvQLwRouxuLxU9QpAztVGy1XgdbUW5FNzp1KZV0lcj7Pj7A6rw7FUvL+f0L56AHLWXLhFzipm1cfy8uW47e6LPi/n6qtB04gcP0707NlshTcs5jViVnxdycxKtpx1aiU//VE/e9uN+XKXSkppQyq8VEu0r6pYhV2z09jXyJn+M1aHM26o9ZPVQmYLn1+GnQshhBBCjCslJSXs378fgGeeeYYtW7awZMkSTpw4wZQpU8Z0bLN1z56bO+Y40+ms/ywne09i02ysmrTqks/1XW0syAM7dhhVXwoxhxlf6e0ugR07IB7HOX06zjG+Z9PNrC660K57Q9kLCvAsWgSoVy111SQjibGjZQfRRNTiaKyj63oykeNTbJ7UzrM7ietxpuVOY2rupf+YkGPe095QK8mY68plSekSAF5vurLvaSMhSakBPre5A59USgkhhBBCjCcf/OAHeemll1ixYgUPP/wwVVVV5OXlsXjxYo4cOcKSJUvO24FvOPREIpmUsuXkpDvsMTErPhYULyDPlXfJ53oWzMeWn0+iv5/QQPJOFWai40pvqzIX1zmKzfiJJWLsaDGq2C425Hwos4UvoFhSqrq4mnxXPoFYgP0dal0D2RRpaCDW3IzmdOJbucLqcFKY77PVk1Zf9rm+gerP4N69xPv9GY1rpMy2ZKnKGz5JSg3wOY0d+AJhSUoJIYQQQown5eXl7Ny5k9raWn75y19y9OhRAIqKiti1axd79+5l/vwL7+R0KYlgED2RQLPb0TyedIc9JubuTsNZwGl2Oz5zG/U31Er+mFVeR7uP0hHssDga6/jfGKheuUqt1r0DHQfoi/aR58xjYcnCyz4/xxx2/vob6Lo6u5rbNFuyWurN5is3WRAYqJLyLl+ObcjGDyowkzjDuae5pk3FOW0axGIEa3dmOrQRWV1hxL+jZYdS14DKJCk1IN9rJKXOdAcsjkQIIYQQQqhgaJWUpmkWR5NqJAs4GKzAUa3dpdhTzJzCOYDRvnMlind3Ez5gVPKpthuaObds1aRVF90NbSjv8uXgdBI7e5boqVOZDm9ErppsfG3Nz+lK5B+4/n2KzS3ri/RxoPMAMNhqeTnm5+BXbFZeTVkNTpuT1mArjX2NVoczLmQ0KdXX18enP/1pZsyYgdfrZd26dWzfvj2Tpxy16+aWAfDEnmaLIxFCCCGEECpIBIw/VqrWutfU38SZ/jPYNXtyV7HLSc6V2rkTPRLJZHgjZibWzOqvK01gxw7QdVyzZuEsL7c6nBTm9+Ry86RMNq8X78CmA4E31UqAmu2Hda11hONhi6PJPl3XCQysxXOuUiv5ufPsThJ6ghn5M6jIqRjWa5IbOChW/elxeKgpM66BK/WeNlIZTUp99KMf5dlnn+VXv/oVe/fuZePGjdx0002cOaPeJPq7lhoDBV871kFb35V3kxJCCCGEEIP0RELZpJRZJbWoZBE5zuHF5p47B3tREXowSHDfvkyGN2JmUupK3YHPrPRQrUoqmoiyq3UXYOwqNly+qwZaRRVLSlUVVFHqLSUcD7O7dbfV4WRd5Phx4h0daG43niG7lapgJO3IJrPVNbR/P/GenozENVpmtZckpYYnY0mpYDDIH/7wB77xjW9w/fXXM2fOHL7yla9QVVXFD37wg0yddtRmluawtLKQeELnyb1SLSWEEEIIcSVLhEJgzpNyu60OJ8VoFnCazYbvKnW3UYcrd66UWelh7iimigMdBwjGghS4C5hbNHfYrzOrcALb1Zqpo2la8pq5EltFzSop77Jl2Fwui6NJlbynVQz/nuasKMdVVQVDKsBUMbT6U6VrQFUZS0rFYjHi8Tiec4ZCer1eXnnllQu+JhwO09vbm/LIprsHqqUeq1OvkksIIYQQQmSPqvOkdF1PVkoNd/aKKWdgBkvgTbUWcEWeomTS40pLFsQ6OwkfOQKoVyllVq6tKF+BTRv+stG7bJkxV6q5mejp0xmKbnRWlhvtrjtbr6z3GQxe9+amB6roCfdwsNOYqTaSRDsMXjOB7WpVWdaU1eCyuWgLtnGy96TV4SgvY0mpvLw81q5dy7/927/R1NREPB7n4Ycf5o033qC5+cKVSA888AAFBQXJR2VlZabCu6A7aiZj06C2sZvGDhl4LoQQQogrj/xV1zA0KTUSmf76ne4/TYu/BYfNwbLyZSN6rW+VUZEU3L0bPRrNQHSjZ1ZIXGntLoGdRnLEPXcOjqIii6NJtaPFWOiPpHUPBuZKLVkCqDdXakXFCgD2tO0hmlDrGsgkXdfxbx8Ycn6VWkmpHWd3oKNTVVBFma9sRK/1rTTem+Z1pAq33T04V+rslXVPG42MzpT61a9+ha7rTJ06FbfbzXe+8x3e//73Y7dfeOeG+++/n56enuTjVJZ3bCjP97B2dgkAj+9pyuq5hRBCCCGs5HQ6AQgE5A9zY5knFRkYIn6x33fHykwULC5ZjM/pG9FrXbNnYysoQA8GCe3fn4nwRu1KnSsV3GEspr0rhzewPltiiRi1rbXAyKtXYDDxoVpSanbhbPJd+QRjQQ50HLA6nKyJNDQQb2tHc7nwLl1qdTgpzHvaSFr3TL5VxnUTOnAg+YcEVVzpGziMhCOTB589ezZbt27F7/fT29vL5MmTec973kNVVdUFn+92u3Fb3LN/99KpvHq0gyf2NPOJG+ZYGosQQgghRLbY7XYKCwtpbW0FwOfzKdW2lk2JYJBILIZmt4Ouo4VCw3tdIkFbWxs+nw+HIzO/ZpuJguHuujeUZrPhW7GC/hdfJLCzVqnFqfn5mHOlSrwlFkeUHWaFh1nxoYpDnYfwR/3kOfOYVzRvxK/PueoqOn74I/zbjZk6qtxLbJqNFeUr2HJ6C7Vna5PVLBOd2brnXboUm2Iz8sZyT3NOnoxzyhSiTU0E6urIveaadIc3aqsnreYHu3/AjpYdSl0DKspoUsqUk5NDTk4OXV1dbN68mW984xvZOO2o3LSwAu2PcKC5l+aeIJMLvFaHJIQQQgiRFZMmTQJIJqauVPG+PhJ9fWgeD46GhhG91mazMX369IwtQMyZS6NZwIFRWWAkpXZS8uG/TGdoY1LkKWJO4RyOdh9lV+subppxk9UhZVzC7yd0wKjW8a1cYXE0qZLzpCpWYLeNvOrPu2wZOBzEmpqJnjmDa9q0NEc4eisqjKTUztad3Md9VoeTFeYgcNXmSfVH+pPzpMzWypHyrlxJtKmJ4M6dSiWlaspqcNqctAXbON13msr87I4mGk8ympTavHkzuq5TXV3N0aNH+dznPkd1dTV/+Zfq/AA8V3GOi+WVhdQ2dvPCwVY+cPUMq0MSQgghhMgKTdOYPHky5eXlRBWbOZRNTV/+MsHtOyj567+icIRtVS6XC5stMxMyWgOtnOo7hYY24nlSJt/A5xPcuRM9kUDLUKyjsaJ8BUe7j1LbWntFJKWCu3dDPI5jilHtoZLRzpMy2Xw+vIsXE6yrI7B9h1JJKTOhu6t1Fwk9MaIh7uORruvJNkrV5kntbttNQk8wLXcak3ImjeoYvpUr6X38cQI71JsrtahkEXVtddS21kpS6hIympTq6enh/vvv5/Tp0xQXF/POd76Tr33ta8mZBap6y4IKIyl1QJJSQgghhLjy2O32jM1EUp0ejxN9cQu2vj4Kliw5bydpK9WeNdpc5hfPJ8+VN6pjeBYuRPN4iHd3Ezl+HPccdcZVLK9Yzu8P/55dZ3dZHUpWmIto1Vr3EnoiuTvdqkmjj823aiXBujqCtbUUvv1taYpu7BaULMDr8NIT7uF493HmFKlzDWRC9MwZYq2t4HQq1bILg5Wfo62SgsG5UsE9e9AjETSXKy2xpcPyiuXUtdWxq3UXd8+52+pwlJXRtPC73/1ujh07Rjgcprm5me9973sUFBRk8pRpceP8cgBePdZOKBq3OBohhBBCCJEt4aNHSfT1YfP58FRXWx1OCrOlarSte4Ax6LjGmKOjWmXBinJjYXqg8wCB6MQfuB+oNZKMqrXuHek6Ql+kD5/Dx/zi+aM+jneF8T41P09VOG1OakqNa8CcZzSRBQfmlnkWLsDmVWs0jZmUGm1FHhgbONgLC9FDIeU2cDDvaVfC+2wsJnat4ijNn5THlAIPoWiCbcc6rA5HCCGEEEJkSXBgAe1dtgwtQ8PKR8tc2IylqgAGKwsCtWolpSbnTKbCV0Fcj7OvfZ/V4WSUHo0a7XsMtlSqoq61DjBm4jhso78GvMuXARA5doxYV1caIksf8xq6EnZ7DNQalYe+FWq9z8LxMHvb9wJju6dpmpbcvdLcOEAVy8qWAXCi5wRdIbWuAZVIUuoCNE3jxgVGtdTzB89aHI0QQgghhOGll17izjvvZMqUKWiaxqZNm6wOacIJ7BxISq1Qq3qlJ9zDka4jwOBf30fLXMAFFauU0jTtiqksCO3fjx4MYi8owDV7ttXhpNjVZiQxxvo+cxQVJT+34C61WjLNJEjt2Vp0Xbc4mswKDiSfvSuWWxxJqn3t+4gmopR6S5meN31MxzITu6pVfxZ6CpldYFwDZrJXnE+SUhdhtvC9cKB1wt+ohBBCCDE++P1+li5dyve+9z2rQ5mwgoq2VJnzpGbmz6TEWzKmY3mXLgO7nWhTE9Hm5jRElz7LK4yF865WtZIY6WYunr0rVyo1bB5IzvQa7TD9oXwDyd2gYi18NaU1ODQHZwNnafI3WR1OxsR7eggfOQoMfi9UMXQn0bHuVmrerwO1teiJxJhjS6cr5Z42FmrdARWybnYpHqeNpp4QB1v6rA5HCCGEEIJbb72Vf//3f+cd73iH1aFMSNHmZqJNTWC3J+cuqcKsHBrLPCmTPTcHz3xjVpBqlQVmdU5dax2xRMziaDJH1XlSZ/1Gksam2agpG/s1YFYcmhWIqvA5fSwsWQgMJnwnosBAhZprxgwcJWNLZqdbcsj5GCvyYGADB6+XRE8P4aNHx3y8dLpSqj/HQpJSF+Fx2rm6yrhwXz3abnE0QgghhBAi08xEgWf+fGw5ORZHkypd86RMqs6VmlM4h1xnLoFYINmuONHoiURy+LRq86TM1r3qompynGO/BsykW2jfPhLh8JiPl07mtWQmRyai4MA8Ka9i77N4Is7uNmOmWjoS7dqQnQVVq8pbXm5UStV31BOKhSyORk2SlLqEa+YYSSkZdi6EEEKI8SgcDtPb25vyEBc3uIBTq3olEo9woOMAMDg4d6xUnStlt9lZWm4sLidqZUHk+HHi3d1oHg+ehQutDieFOffGXEiPlbOyEntZKXo0SmifWsPrr4QKFjPp7FNsntTR7qP4o35ynDnMKZyTlmOqOldqau5Uyr3lxBKxCb+Bw2hJUuoS1s0uBeCNE53E4mr1pgohhBBCXM4DDzxAQUFB8lFZWWl1SEpLtlQpNntlf8d+ookoRe4iKvPS8z00F3DhI0eId3en5ZjpsrxsYs9gSQ7Tr6lBc7ksjiaV2cqWrqSUpmn4lqvZwmd+jid6TtARnHhFCIlIhNBeIwniVWznPbNKaknpEuw2e1qOmaz+VGwHPk3TZK7UZUhS6hIWTs6nwOukPxxjz5keq8MRQgghhBiR+++/n56enuTj1KlTVoekrHh/P+FDhwDwLlcrKWUu4JaWLR3zQGCTo6QEV1UVMLhlvCrMtqpdZ3dNyA2HAjt3AIOLaFUEogEOdx0G0jPk3GS28AUVSxYUegqTVToTMVkQqq9HD4exFxXhqpppdTgpht7T0sW7dCnY7cSam4meOZO246aDmQCdyFV5YyFJqUuw2TTWzpIWPiGEEEKMT263m/z8/JSHuLBg3W5IJHBOm4azotzqcFIkF3Dl6VvAwWCbopkkUcXi0sU4NAetwdYJuTNacMjOeyrZ076HuB5ncs5kJuVMSttxzSqdQF2dcjujmS18E3GuVLIdecWKtCWz0yUTSSmbz5dsh1WtWsp8n+1u3U08Ebc4GvVIUuoy1s2RYedCCCGEUEN/fz91dXXU1dUBcOLECerq6mhsbLQ2sAkgaM5eUWyeFGRmAQfgW7kKgKBibVVeh3fC7oyWssPj0mVWh5Ni11kjiZHOKikAz/zq5M5okWPH0nrssTKHbE/EChZV25G7Ql2c7D0JkJYdHodSda7U3KK55Dhz6Iv2cbRbrd0BVSBJqcsw50rtONlFKCpZTSGEEEJYZ8eOHSxfvpzly41WgM9+9rMsX76cL3/5yxZHNv6ZLWyqte61+FtoDbRi1+wsKlmU1mOb7WPB+noSIbV2hTLbXSZaW5U5V8kzfz72XLV2eDS/1mZVR7oM3RlNtblSZqvowc6D+KN+i6NJH13Xk7vQeRUbcr6nbQ8AVQVVFLgL0npsVXcVddgcyT8qTLR7WjpIUuoyZpflUJ7nJhJLUNvYZXU4QgghhLiCbdiwAV3Xz3v8/Oc/tzq0cU2PRgnuNqqRVKuUqmurA2Be0Tx8Tl9aj+2cNg1HeTlEowR370nrscdqog4GVnWeVCwRS1bkpWvI+VBmtU5wl1pJqUk5k5iaO5WEnmB3626rw0mbyIkG4l1daG43nkXpTWaPVaYqP2GwJTZy9BixLrXW7jJX6uIkKXUZmqaxbrbRwvfaUZkrJYQQQggx0YQOHkIPBrEVFOCaPdvqcFKYC+VMLOA0TRuyY5Vac6XMBdzR7qP0hCfOhkOqzpM60nWEQCxArjM3Ofw7nbwr1NyBDwbbFc0E8ERgJv88SxZjU2yHx0wmpRxFRcl7uFkppgqzAnGiJdrTQZJSw7B2ICm142SnxZEIIYQQQoh0S86TWrYMzabWr8eZGnJuModQBxXbga/YU8zM/JkA1LXWWRpLusR7eggfOQKoN+fHXCjXlNVgt9nTfnzvsqVgsxE9fZro2da0H38szOSIea1NBGbyz7dCreRnLBFjb/teAJaVLcvIOXwD7YrBXWrd08wNHFr8LTT3N1sdjlLU+qmrqEVTjF7XQy19E3JbWiGEEEKIK5m5gFOteiUcD3Og8wCQmaoCAO/yZQAEd+9Wb2e0gXk/E6XdJbjHaJF0zpiOo7TU4mhSmYm/TLTuAdhzc3FXVwPqtfCZyZE9bXtI6GpdA6Ol6jypo91HCcaC5DnzmFU4KyPn8C4zPufAwIYgqvA5fSwoWQBMnHtaukhSahjmlOeiadAViNLWH7Y6HCGEEEIIkSa6rhPYZVYVqLWA29+xn1giRrGnmGm50zJyDk/1wM5ofX1Ejh/PyDlGy0yQTJRKqWCdUYljDv1WiblIzlRSCgarw1Rr4ZtbNBevw0t/tJ9j3WrtDjgasY4OIg0NAPiWq3VPM6/lJWVLsGmZSUWYifbQ3n3o0WhGzjFaE3UDh7GSpNQweJx2ZpYYu2Mcbum3OBohhBBCCJEu0VOniLe1ozmdeJYssTqcFEPnSWmalpFzaA4H3sWLAQgo1u5izmDZ276XcHz8/2E4OFC54V22zNI4ztXc38zZwFnsmp0lpZm7BsxNBII71dsZzfy8J0ILn9m25p47B3tBene3G6tMzpMyuWbOxFZQgB4OEzp4MGPnGQ3znrbzrFrXgNUkKTVM8ypyATh0ts/iSIQQQgghRLqYVRueRYuwud0WR5PKXMCZg5gzxUySBBVrd6nMq6TYU0w0EeVAxwGrwxkTPZFItu/5FEtKmVUb1cXVad/hcShz2Hno4EHi/f6MnWc0JtJcqWQ7smLzpCA7SSnNZsO7tAaA4K66jJ1nNMzZgMe6j9EXkbyCSZJSw1Q9KR+Awy3y5hFCCCGEmCiSs1dWqjV4Wtf1rCzgYMhcqTq1FuSapk2YZEHk+HESfX1oXi/uefOsDieFmZQyqzgyxTlpEs4pUyCRILRHre+n+T6bCK2i5j1NtXbkjmAHp/pOAUb7XiaZbYuqJdpLvaVMzZ2Kjp4c+C4kKTVs1RV5AByUSikhhBBCiAkjWGcsyFWbvdLsb6Yt2IZDc7CoZFFGz2VWSkWOHSPe05PRc43URElKJVv3Fi9GczisDeYcZlIq0xV5MPheU20IdU2ZUVnT0NtAd6jb2mDGIBEOE9y/HxisTFPFnjajUnB2wWzyXfkZPZeq1Z8w+F4zvx5CklLDVj3JaN87craPREJ24BNCCCGEGO/ifX2EjxqDjVWb82MmYaqLq/E4PBk9l6O4GOeM6cDgDnGqMBdw4z0pFVB0npQ/6udI9xEgs0POTV5FK1iKPEXMzJ8JwJ52ta6BkQjV74doFHtJCc5pmdkcYbSSlZ/lmR/071lSAzYb0aYmomdbM36+kZgoifZ0kqTUMM0oycFltxGIxDnTHbQ6HCGEEEIIMUbBPXtA13FOm4ajtNTqcFKYbUSZbt0zmXOOgooNO19Usgi7Zqc10EqLv8XqcEYttHtg571lau28t7d9Lwk9weScyZT7yjN+vmQFy+496IlExs83EmYCdDy38A0dpp+pzRFGK1vtyAD23Jxkm6xqCdBlZcsAo1JK16XYBSQpNWxOu43Z5QPDzmWulBBCCCHEuKfqbmiQ3QUcqNvu4nP6mFdkLC7Ha2WB0hV5rdl9n3nmV6N5PCR6eog0NGTlnMNlti+O57aqoKLJz1giRn1HPZDNe5pxHtXuafOK5uG2u+mN9NLQ22B1OEqQpNQIVMsOfEIIIYQQE0ZyAbdUrQVcKBbiUOchIDutLjCkrWr3HvR4PCvnHK7x3sIX3D1QkVdZiaOkxOpwUpitatlKFGhOJ57Fxow05XZGG/ga7GnfQywRszia0Ukm2hW7px3uOkwwFiTPlUdVQVVWzqlqot1pdybnBI7Xe1q6SVJqBOZNMoadS6WUEEIIIcT4picSRrIA9apX6jvqiekxSr2lTMmZkpVzuufOxebzkfD7k1U9qkgmC8ZpBUtwdx2gXqJA1/Xk19RM/GWDT9FkweyC2eQ6cwnGghztPmp1OCMWbW4mdvYs2O14Fy+2OpwUZvKlpqwGm5adFIS5eUVo3z4SkUhWzjlcMuw8lSSlRsDcge+wVEoJIYQQQoxrkYYGEj09aG43nvnVVoeTwlzALSvL3lwYzW7HU2MslFSbK2UmpfZ37CcSV2txORzBOrOlapm1gZyjsa+R7nA3LpuLBcULsnZeVStY7DY7S0qXAONzrpT59fRUV2Pz+awN5hzZnpEH4Jw+HXtREXo0SnhgR0JVyLDzVJKUGoHqgUqpY239RONqDeYTQgghhBDDZ7YOeRYvRnM6rQ3mHNme82NSdQZLZV4lRe4iookoBzsPWh3OiBgVeWompcwF8cKShTjt2bsGzK9D+OhR4n1q/bHfbJcdj8mCweSnWhV5kP0ZeQCapiXfawHF7mlmpdTR7qP4o36Lo7GeJKVGYGqhl1y3g2hc50S7vHmEEEIIIcYrVQcC67qe1a3Th1K1gkXTtHFbWRBpaCDR24vm8eCpnmd1OCmsaN0DcJSW4pw2DXTd2AFTIebOaOPtfQbqbtzQHmznTP8ZNDRqSrP7Xhu8p6n1/Sz3lTM5ZzIJPcG+9n1Wh2M5SUqNgKZpzB+oljrQ3GtxNEIIIYQQYrRUXcCd6T9DR6gDh83BwpKFWT23OfMo0tBArKsrq+e+nPE67HywIm+RehV5FlSvmFRNgC4pM9r3TvWdoiPYYXE0w5eIRAgNtKipdk8z32ezC2eT68rN6rm9y5cB6rUkg7TwDSVJqRFaMDkfgP1NkpQSQgghhBiP4v39hI8cAdQbPl3XVgfAguIFuO3urJ7bUVSEq8rYGcusJFPFeB12biZdfIolCgLRAIe7DgNWJ6XUep/lu/KZUzgHGF/JgvD+/ejRKPaiIpyVlVaHk8LS5OfixWC3Ezt7lmhzc9bPfynj9Z6WCZKUGqGFUwaSUlIpJYQQQggxLoX27AFdxzllCs7ycqvDSWHVPClTMlkwUOGjisWli7FpNpr9zbQGWq0OZ9hUnSdV31FPQk9Q4augIqci6+cfWimlJ9Sa1Wtee2aCeDwIDKn8zNbmCMNl5T3N5vPhqTY2slCtKm/oDny6rlscjbUkKTVCC4dUSl3pbx4hhBBCiPFI1UQBWFtVAOq2VfmcPuYWzgXGTwWLyhV5Vr/PPNXz0DweEn19RI4ftySGi0m2VbWOj/cZqLvDYzQRZX+H0VaY7Rl5Ju/y5YB697QFxQtw2Vx0hbto7Gu0OhxLSVJqhKon5WHToMMfobUvbHU4QgghhBBihAKKzpOyuqUKhsxg2bsXPRazJIaLGW/tLsmKvKlTcZSVWR1OCquTUprTabRWoV6ywEye1HfUE01ELY5meJIz8hRLfh7uPEwoHiLflc/M/JmWxJDcgU+x6k+n3cmCkgXA+LmnZYokpUbI47Qzu8wY0CZzpYQQQgghxhdd1wkpunV6fUc9cT1Oua+cSTmTLInBPWcOttxc9EAgWeWjivE27FzVijxd1y3beW8oMwEaUCwpNTN/JvmufMLxMIc6D1kdzmVFW1qItbSAzYZ3yWKrw0lhtkDWlNVg06xJPZjvs9CBAyTCahWVyLBzgySlRkHmSgkhhBBCjE+REw3Ee3rQ3G488+dbHU6KodUrVs2F0Ww2vDVGokK5CpaBBdz+jv1E4+pXsAQUrV453XeazlAnTpsz6zs8DqVqq6hNs42rBKjZuueursaWk2NxNKnMFshlZcssi8E5dSr2slKIRgnV11sWx4VIUsogSalRWCg78AkhhBBCjEtm9Ypn0SI0l8viaFJZ3VJlGmx3UWsb9Rn5MyhwFxgVLF1qV7CkVOQNVGqoYne7EdeC4gW47NZdA+b7LHL0GPFetdZV4ylZkGzdU6zyE4bc0yyaJwWgaVpy90vVNnAwk5+Huw4TiAYsjsY6kpQaBamUEkIIIYQYn4KKzpMa2lJleVLKnCu1W60FuaZp1JSOjwqWSMOQiryB3b9UYVavWNm6B+AoKcFZWQlAcLdaM3XG0/yyZJuoYhV5bYE2mvxN2DQbS0qXWBqL+bVRrSpvUs4kKnwVJPQE9R1qVXFlkySlRmHBQKVUQ4ef/rBaAyCFEEIIIcTFqToQWJWWKiDZvhc92Uisq8vSWM41XipYzJYqFSvy9rQPJD8trF4xqdrCt6R0CRoaZ/rP0B5stzqci9IjkWRLmk+xRLt5jc4pnEOO09q2wqHvM13XLY3lXOOpVTRTJCk1CqW5biry3eg6HGqRaikhhBBCiPEg3u9PDu9WrVLKHAi8oMTalioAe0EBrlmzAPWqpcwFnOoVLKpW5AVjQQ53DuzwWKpCUkrNCpZcVy6zC2cDaicLQgcOoEci2AsLcc6YYXU4KVRpRwbwLF4MDgextjZiTU1Wh5NivCTaM0mSUqMkc6WEEEIIIcaX0L69kEjgmDIZZ0W51eGkUGkBB+q2u4yXCpbBnffU+H6a9nfsJ6bHKPdat8PjUMkKlj170BMJa4M5x3hIFgyt/LRqc4SLUemeZvN4khtbqJZoH9oqqloVV7ZIUmqUZK6UEEIIIcT4Yi7gVGtzAbUWcDAkWaDYAi7XlcucojmAusmCeL+f8GGjGsm7dJm1wZxj6OBpFZIYnupqNK+XRF8fkWPHrA4nRTIp1arm+wyGJD8VG6YfjUepbzfaClW7pwUUS7QvKFmAw+agM9TJ6f7TVodjCUlKjdK8ijwAjrX6LY5ECCGEEFea73//+1RVVeHxeFi5ciUvv/yy1SGNC+bOS6rNkwpEAxzuGmipUmYBZ8QR2r0HPR63OJpUqg87V7oizxxyXmrtkHOT5nDgXWIMwVYtWWBei/s79hNNRC2O5sICis7IO9h5kEgiQqG7kBn5arQVDlZ/qnXfcNvdLCw25giqek/LNElKjdLMEmNY24kOSUoJIYQQInt+97vf8elPf5p//ud/ZteuXVx33XXceuutNDY2Wh2a0nRdH9JStczaYM6xr30fCT3BpJxJSrRUAbjnzMHm85EIBAgfVbOCRdW5UuaiV7WKPF3XlRpyblJ12PnMgpnkufIIxUPJpLFKomdbiTU1g82GZ4kaSUaTmVypKatRoiIPBqvJQgcOkAiHrQ3mHMlh5wpX5WWSJKVGaWapkZRq6wvLDnxCCCGEyJoHH3yQj3zkI3z0ox9lwYIFfPvb36ayspIf/OAHVoemtOjJk8S7u9FcLjwLFlgdTgrVWvcANLsdz8AufMHdddYGcw7z61TfXq9kBYuqQ86b/E20B9tx2BwsKFbnGhhMSqm1ILdpNqWTBeZ16Z47F3uutbvbnUvFe5pz6lTspaUQjSZ3LFRFMtHermaiPdMkKTVKBV4nxTnGzigN7VItJYQQQojMi0Qi7Ny5k40bN6b8+8aNG3nttdfOe344HKa3tzflcaUy21w8Cxeiuazd3e5cKi7gQN12l6EVLEe6jlgdToqUijzFWqrMxMqC4gV4HB6LoxlktopGjh0j3tNjcTSpVB52bl6XqiU/YXA3UZXuaZqmDe72ONDKrQrz63S48zDBWNDiaLJPklJjMLPEB0CDtPAJIYQQIgva29uJx+NUVFSk/HtFRQUtLS3nPf+BBx6goKAg+aisrMxWqMpRtXVP13V1k1LmAk6xYecpFSyKJQuijY3Eu7qUrsgzv3aqcBQX45wxHTB24VPJ0lKVk1J1gHr3tLP+s7T4W7BpNpaULrE6nBQ+RTdwmJQziTJvGTE9xv6O/VaHk3WSlBoDs4VPKqWEEEIIkU3nzujQdf2Cczvuv/9+enp6ko9Tp05lK0TlqFpVcLL3JN3hblw2l1ItVTBY6aNkBYuiyQIzUeBZtEi5ijxzBpdqyU8YkixQrIJlSdkSNDTO9J+hPdhudThJeiRCaN8+QMGKvIFrcl7RPHxOn8XRpBqs/qxD13WLoxmkaZrSVXmZJkmpMagyh523ByyORAghhBBXgtLSUux2+3lVUa2tredVTwG43W7y8/NTHleihN9P+NAhYLD6RxXmAmRhyUKcdqfF0aRyFBfjnG5WsOy1OJpUqg47V3U3tFAsxMHOg4CaSSlVh53nufKYXTgbUOu9Fjp0CD0SwV5QgKtqptXhpFC18hPAs3gxOBzEWluJNTdbHU6KZFJKwfllmSZJqTFIVkpJ+54QQgghssDlcrFy5UqeffbZlH9/9tlnWbdunUVRqS+4rx4SCRyTJuGcpMbudiaVF3CgbgufWcFyqu8UHcEOq8NJUrVNdH/HfmJ6jDJvGZNzJlsdznmSSak9e9ATCWuDOYeKFSxmRZln2VJldrczqXxPs3m9eKqrAfUSoGZb7Z72PUpVcWVDRpNSsViML37xi1RVVeH1epk1axZf/epXSSh2oxmtKmnfE0IIIUSWffazn+V//ud/+OlPf8qBAwf4zGc+Q2NjI3/zN39jdWiAUZFxvPu41WGkUHX2Cgwu4JaVL7M2kIsY2u6ikjxXHrMKZgGwt12NKq5EIED40GFgcPt5VQydJ6VaEgOMHeQ0n49Efz/ho0etDidFMlmgUKVUUNGKvEg8kpyJpGJSCgZ/DgQUu6ctLFmIQ3PQHmynyd9kdThZldGk1Ne//nV++MMf8r3vfY8DBw7wjW98g29+85t897vfzeRps8aslOrwR+gNqbcdrRBCCCEmnve85z18+9vf5qtf/SrLli3jpZde4sknn2TGjBlWh0Zdax03P3Izn97yaRK6On+EVHU3NH/Uz9FuYwGu+gJOyQqWcrUqWIJ790E8blTkXaCd1koqV68AaA4H3iXGUGzV5kqZX7P6jnpiiZjF0RjMe5pPsUT7gc4DRBNRitxFVOapubGGV9Fh5x6Hh+pio4rrSmvhy2hSatu2bdx9993cfvvtzJw5k3e9611s3LiRHTt2ZPK0WZPrdlCa6wakWkoIIYQQ2fPxj3+choYGwuEwO3fu5Prrr7c6JADmFM4hmohyoucErzW9ZnU4gDEEfrBSSq0F+d72vST0BFNyplDmK7M6nAvyzJuH5vGQ6O0lcuKE1eGkqClVawc+VVv3VN7hcShV50pVFVSR58ojGAtyuOuw1eEQa2sjeuYMaBqeGrV2UjSTKUvL1GsrNJk/B0L7D5AIhy2OJpWKraLZkNGk1LXXXsvzzz/P4cPGxbt7925eeeUVbrvttkyeNquqSo0dBU5IUkoIIYQQV7hcVy5vn/N2AB7e/7DF0Riip04R7+xEczrxLFpkdTgphi7gVKU5nXgXLwYGdzBUhfl129e+T4kKFlWTn83+ZtqD7Tg0BwtLFlodzkUl55cplpSyaTalEqBm25l77lzsubnWBnOOZPKzXK1rYCjntGnYS0ogGiVUv9/qcFKouoFDpmU0KfWFL3yB973vfcyfPx+n08ny5cv59Kc/zfve974LPj8cDtPb25vyUN3MEnOulOzAJ4QQQgjxgQUfwKbZeLXpVY51H7M6nGT1invhAmwul8XRpBoPCzhQd9j5rMJZ5DmNCpYjXUcsjSWlIk+xNlHzfVZdXI3H4bE4moszK6UiJ04Q7+62NJZzqTRXStX3GajfJgqgaZqyVXnmz4KDnQcJxUIWR5M9GU1K/e53v+Phhx/m17/+NbW1tfziF7/gW9/6Fr/4xS8u+PwHHniAgoKC5KOyUs0+1KGqymQHPiGEEEII07S8adxYeSMADx+wvlrKnE+j2uyVhJ5gT7uxwFV5AQfgUXTYuU2zsaTMmENkdQVL9PRpdSvyxkGiAMBRVIRrYDaeaglQldqqVG0TbfG3cDZwFrtmZ1GJWtfAuVStypuSM4USTwkxPZYcGH8lyGhS6nOf+xz/+I//yHvf+16WLFnCvffey2c+8xkeeOCBCz7//vvvp6enJ/k4depUJsNLi6qBSqnj0r4nhBBCCAHABxd+EIDHjz1OV6jL0lhU3XmvobeBnnAPbrub6qJqq8O5JLMiI3zkCPF+tX7nVaXdxXyfeRYuVK8ibxy0iZpU3RnNTH6e6jtFR7DDsjj0aJTQvnpAvR0e69rqAJhXNA+f02dtMJfhG1Ippeu6tcEMoWmaUgnQbMloUioQCGCzpZ7CbreTuMjOHW63m/z8/JSH6swd+GTQuRBCCCGEYUX5ChaWLCQcD/PkiSctiyMRDBI6dAhQr9XFTBQsKlmE0+60OJpLc5aX45wyBXSd0F7r25eGUmUBZ1bkqTZPKhQLcbDzIKB+mygMJlpUq2DJd+Uzu2A2YG0CNHTwEHoohC0/H9fMmZbFcSHjKfnpWbQI7HZira3EWlqsDieFeZ1anWjPpowmpe68806+9rWv8ec//5mGhgYeffRRHnzwQd7+9rdn8rRZZc6U6glG6fJHLI5GCCGEEMJ6mqbxlulvAWBX6y7L4gjt2wfxOI7ychyTJ1sWx4WMl5Yqk6rbqC8uNYawN/Y10hnqtCwOVSvyDnQeIKbHKPWWMiVnitXhXJb59Qvt3oMej1sbzDmSc6XarUsWJFv3li5Fs2V0KT9iZhJlPCQ/bT4fnmqjQlW1BOjQRLtKVVyZlNF38ne/+13e9a538fGPf5wFCxbwD//wD/z1X/81//Zv/5bJ02aV12VnUr4xMPCEzJUSQgghhABgWdkywNoKlsCQRIFq25OPlyHnpsEZLGolpQrcBcwqmAVYV1mQUpGnWFLKrF6pKa1R7hq4EPfcudh8PhKBAOGjR60OJ4UKVXmq7vAYjofZ32nMQBp3iXbFklILSxbi0By0Bdto9jdbHU5WZDQplZeXx7e//W1OnjxJMBjk2LFj/Pu//zsuxfqsx2pmqdEzKy18QgghhBCGxaWLsWk2WvwttPitaY8YWlWgkr5IX3JnwnGzgDOHne9W76/3VicLgnv3GhV5FRU4Va3IGyfJT81ux1NjVCSZLZGqMN9n+9r3EUvELIlB2Yq8jgPEEjGKPcVMy51mdTjDYraKqja/zOvwMq94HmB9W3K2qFXzN05VyVwpIYQQQogUPqePeUXW/WKt63qyqke1gcB72/eiozM1dyql3lKrwxkWz4IFaC4X8a4uoo2NVoeTwvKklDlPavlyS85/Mbquj7s2UVB3Z7RZhbPIdeYSjAU52p39Kq5YezvR06dB0/AOJO5UMfR9Nh4q8mBIq+j+AyTCYWuDOYfV97Rsk6RUGphzpU50BCyORAghhBBCHVb+Yh09c4Z4ezs4nXgWLsz6+S9lPCYKNJcr+XVULVlgdQWL+fXwKZb8bPG30BZsw6E5WFii1jVwKaq2Vdk0G0tKjV34zLbIbDIrP91zZmPPy8v6+S9lPN7TnNOmYS8uhmiU0P79VoeTQpVdRbNFklJpIDvwCSGEEEKcL5mUsmIBN1Al5Zk/H5vHk/XzX8p4XMCBusPOraxgMSry6gD1WqrM99m84nl4HV6Loxk+s1U00tBArKvL4mhSmW2QViTaVX2f6bo+rnbeM2maNiQBqtY9zfw6Hug8QDiuVhVXJkhSKg2Gtu+p1mMvhBBCCGEVc9j5/s79Wf/FWtUFXEJPjKtdqoZSddi5lRUs0ZMniXd1GZVkCxZk9dyXM16Tn46iIlxVVYB6CVArqz+TbaKK3dOa/c20BltxaA4WlS6yOpwRUbUqb2ruVEo8JcQSMfZ3qFXFlQmSlEqD6cU+NA36wjE6/BGrwxFCCCGEUMK0vGkUe4qJJWIc6DiQ1XOrukvViZ4T9EX68Ng9yZlb40VyBsuhQyQCao2tsKqCJTCQKPAsXoym2GZO4zUpBeomC8zkZ2NfI12h7FVx6bEYwX37APU2bhivFXmg7vwyTdOoKTPmhllRaZxtkpRKA4/TzpQC4wKUFj4hhBBCCIOmackFcV1rXdbOmwiFCB08CIB36bKsnXc4zAXcotJFOG1Oi6MZGeekSTgqKiAeJ1Rfb3U4KayqYEkmPxWbJxWOhznQaSSCx3dSSq0FeYG7gKoCo4orm/N+QocOoYdC2PLzcc2albXzDse4Tn4uXgx2O7GzZ4k2N1sdTorkXKn2iT9XSpJSaTKz1AfACUlKCSGEEEIkWZEsCNXXQyyGvawU59QpWTvvcJhfB7O1cbwxqzRU20Z9aAVLZ6gza+cN7toFqNdSdaDjALFEjGJPMVNzp1odzoglq/L27EGPx60N5hxW3NOSyc+aGjSbWkv48ThPymTz+XBXGxWryraKtu6e8COC1HpHj2PmDnwNHZKUEkIIIYQwLStfBkBdW13WfrFO7oa2bJly25OP5wUcqDvsvMBdwKwCo4IkWxUs8f5+wkeOAMZ7TSVDq1dUuwaGwz1nNracHBKBQPJrrAprklLGuVRr3QvFQhzsNKpSzXv9eGNeu+bMLlUsKl2EQ3PQGmylxd9idTgZJUmpNBkcdq5Wf70QQgghhJUWlRi/WLcH22nyN2XlnKou4HojvRzrOQaQnBcy3gwddq7aX++TM1iylCwI7t4Nuo5z2jQcZWVZOedwjeeWKgDNbse71Ph+qjbvx/ya7m3fSzyRnSouMwmsWkXe/o79xPQYpd5SpuSoVZU6XKrOL/M6vMwrNqq4rBisn02SlEoTs1JK2veEEEIIIQZ5HB6qi6uB7Axs1XVd2Z339rbtBaAyr5ISb4nF0YyOZ9EicDqJt7cTPX3a6nBSJGewZKlSanCe1PKsnG+4dF0f9xV5MCRZMNAiqYpZBbPIceYQjAU52n004+eLdXQQbWwESCbqVDHeK/JgSKvo/v0kImptWlZTmt1Eu1UkKZUmM0sH2/dU+6uREEIIIYSVzLaObPxiHWtqItbWBg6HkUBRSF1bHTC+EwU2txvvwoUABGtrLY4m1dAKllgilvHzme0+qu3w2OJvoTXYil2zs6hUrWtgJMxkgWrzy+w2e3KGWTbuaWaVlGvObOz5+Rk/30iM94o8AGdlJfbiYvRoVL0NHMqzm2i3iiSl0mR6sQ+bBoFInNa+sNXhCCGEEEIoI7kD30BSJpPMBZynuhqbV63tyXe1GhUfy8vVqqwZKe+KFQAEatWqYJldOJtcZ25WKlj0RCL5XvMpVim1u92Ia17RPLwOta6BkTDbb6MnG4l1Zm94/XBkc66Uqu3Iuq4n72njOSmlaVrya6vabo/m13V/537C8YmbY5CkVJq4HDamFhk3fWnhE0IIIYQYZP5ifbjzMMFYMKPnCijauhdLxJJ/7R6vA4FN3hVGEka1SimbZhusYMlwq2jk2DESfX1oPh/uefMyeq6RmgitewD2ggJcs4zh9aomC7JRwaJqO/KpvlN0hjpx2pzjuiIP1N3AYVruNIo9xcQSMfZ37Lc6nIyRpFQaJXfgk6SUEEIIIUTS5JzJlHvLiekx6tsz2x6RrCpQbAF3qOsQwViQPGcecwrnWB3OmJiVQeGjR4n39locTSqz3SXTVXnJ5OeSJWgOR0bPNVJmosT8Woxnqg6hNofqN/Q20B3qzth59FiM4F5jFp1qOzzWthpJ6UUli3Db3RZHMzaqvs80TUtW1ppVaRORJKXSyNyB70SHJKWEEEIIIUyapmUlWZAIhwkdOACoN+enrrUOMBIFNm18/wruKC3FOWM6DBkqr4psLeAG50kty+h5RiocD7O/06ioGO+VUjB0t8c6awM5R4G7gJn5MwHY0565aqnw4cPowSC23Fxcs2dn7DyjYd7Tlleo1b46Gt4li8FmI9bSQrSlxepwUkhSSozIjIFKqVOdAYsjEUIIIYRQSzZmsIT27oVoFEdZGc5p0zJ2ntGYKPOkTL7l5lwptVr4lpYZSb8z/Wdo8WducTm4896yjJ1jNA50HCCWiFHsKWZarlrXwGgkK1j27kWPZX54/Uhk454WGNh50Lt0KZpNraW7WSm1vGz839NsPh/uamOXWNUSoObPjLrWOhJ6wuJoMkOtd/Y4N73YB0CjJKWEEEIIIVIMncGSqZ2KAzt2AuBduVKp7cl1XWfX2YmVlBqcK6XWX+9znDlUFxmLS7OSI93i3d1Ejh8H1Bs+bX7ONWU1Sl0Do+WeMwdbbi56MEj48GGrw0lhVn9mMikV3Gne01Zk7Byj0R3q5kTPCWD8z8gzJavyBqogVbGgeAEeu4fucDcNPQ1Wh5MRkpRKo8piY9D5qc7MDvAUQgghhBhvFpYsxGlz0hnq5FTfqYycI1BrLOB8K9RawDX5m2gNtuLQHCwuXWx1OGlhfo2De/agR6MWR5NqRYURm1nJkW7mMGRXVRWOoqKMnGO0drYa18DK8pUWR5Iems2Gt8aY3xRQrIKlptSIa2/bXuKJeNqPr+t6MtHuW7kq7ccfC7MNu6qgiiKPWtfAaPkUHXbutDtZUmZs4JCpe5rVJCmVRpVFRqVUTzBKb0itH85CCCGEEFZy2V0sKFkAZGaulB6PD875UayqwGzdW1CyAK/Da3E06eGaNQtbQQF6KJSc46WKoe0umZBsqVquVtVbQk9MqDk/JlWHUM8pnEOOM4dALMCR7iNpP370TBOx1lZwOPDWLEn78cfCTI6sKFfrXjsW5vssVF9PIhKxNphzLCtbBkzcuVKSlEqjHLeD4hwXIHOlhBBCCCHOZS5gas+m/6+94aNHSfT1YfP58AzMBlGF2bo3UdpcwKhgMSsLVJsrZSalDnUdoj/Sn/bjDw45V6t170TPCbrD3XjsHhYWL7Q6nLQx53aZO2uqwm6zJ5MFO8/uTPvxgwOVn55FC7F51Upmm8nPiXRPc06fjr24GD0aJVSf2V1iR8qs/pSklBiWyoG5UpKUEkIIIYRIlUxKZaAFIWDOXlm2DM3hSPvxx2JXm7GQmEhVBWDM7gL15kqV+8qZmjuVhJ5gT1t6d0bTo1GCe4xj+hSrlDKvqyVlS3DanRZHkz5m+160sZFYR4fF0aRKtopmINEe2Gkc07dCrVbMcDzMvvZ9wMSZkQfGLrHJWXk7059kHIulZUvR0DjVd4q2QJvV4aSdJKXSrLJI5koJIYQQIjO+9rWvsW7dOnw+H4WFhVaHM2LmAuZEzwk6Q51pPXZwYAHnXaXWAq430svRrqPAxKoqAPANLOACu2ozNrx+tDKVAA3t348eDGIvKMA1e3Zajz1WZmJkoiU/h36tVZv3M/R9lu5rILBzBwA+xe5p+zv2E01EKfYUMz1vutXhpJU5uyuwfYfFkaTKc+Uxr2geMDGrpSQplWbJSqkuqZQSQgghRHpFIhHuuece/vZv/9bqUEal0FPInMI5wGBLWzroup6slFKtqmB36250dCrzKin1llodTlp5Fi8Gp5N4WzvR06etDieFOVMp3XOlUnZ4tKm1lDIXqxMtKQXq7oy2pGwJTpuT9mB7WjdwiHV1ETl6DFBvdpmZ/FxevnxC7PA4lG/VQFJq1y70RMLiaFKZf9SRpJS4LHPYubTvCSGEECLd/vVf/5XPfOYzLFmi1tDbkTAXzOYuYekQa2oi1tKi5EBgcwExkdpcTDaPB+9CY3ZRULG5Uub7bE/7HqKJ9G1AlEx+rlJrN7QWfwtn+s9g02wsLVdr1lU6mK2Sqg07d9vdyR010zlXyky+uWbNwlFcnLbjpkNymP4EvKd5FszH5vOR6O0lfCT9w+vHQpJSYtimJyulpH1PCCGEENYKh8P09vamPKxmzmBJ5wLOHLTtWbgQm8+XtuOmg7nT4ERcwAF4Vxjfz4Bic6WqCqrId+UTjAU51HkoLcfUE4khSSm1KvLMher84vnkOHMsjib9kjvw7duHHlVrl/NMtIqaQ859iu0kmtATE/qepjkcyfdaYIdaLXzmz86DnQcJRCdWAYwkpdKssticKRVQrrdeCCGEEFeWBx54gIKCguSjsrLS6pBYWWEs5g92HsQf9aflmIOte2ot4KKJKHvb9gITcwEHDA4GVqxSyqbZkl/zdA2hDh89SqKnB83nw7NgQVqOmS5mkncitu6BUTFkKyhADwYJHTxodTgpMjHs3Bxy7lWsHbmhp4HucDduu5sFxWpdA+liziVULSk1KWcSk3MmE9fj7GlP7wYOVpOkVJpNKfRi0yAcS9DWF7Y6HCGEEEIo7itf+Qqapl3ysWOUvxzff//99PT0JB+nTqVv5sloTcqZxJScKST0BLtb0zO0ODnkXLGqgoMdBwnFQxS4C6gqqLI6nIww26rCR48SV6ASb6h0t7uYi1TfsqVoTrV2t0vOk6pQ6xpIF81mS77XVBtCvax8GRoajX2NtAfbx3y8RChEcJ+xu52qFXlLSifWDo9Dma25wR07lSsymagtfJKUSjOn3cbkgoFqKRl2LoQQQojL+OQnP8mBAwcu+Vi8ePGoju12u8nPz095qCDZwpeGuVLxnp7k7A/fSjUXcMvKlmHTJuav3Y7SUpwzpoOuKzfvx3yf7WrdlZbFZdAccq7YPKneSC9HuoxrYKJW5AH4Vg8Mod6ZvtbfdMh35Sd3RktHtVRo716IRnGUleGcNm3Mx0sns0VxIr/PvDU14HQSa2sjqsAfcoZKJqXSuFGICibmT0eLDbbwyVwpIYQQQlxaaWkp8+fPv+TD4/FYHWZamS186VjAmfOkXFVVyg0ETialypdZG0iG+Zabc6XUauFbVLIIl81FR6hjzDuj6bo+WCm1Uq2kVF1rHTo6M/JnTLgdHocyk87BnTuV3RktHXOlkq17K1cqt7vdRB5ybrJ5PHgH/hBk7rapCvPrvrttN7FEzOJo0keSUhlg7sDXKDvwCSGEECKNGhsbqauro7GxkXg8Tl1dHXV1dfT391sd2oiYFSx72/cSiUfGdCxzlpFqrXu6rg+2VE3QOT+mwblSav313mV3sah0ETD2ZEH09Glira3gdOJdWpOO8NLGTO5O5EQBGBsZaB4P8e5uIsePWx1OivQm2tWckdcebKexrxENbULu8DiU2cKn2lypOYVzyHPmEYgFONx12Opw0kaSUhlQae7AJ0kpIYQQQqTRl7/8ZZYvX86//Mu/0N/fz/Lly1m+fPmoZ05ZpSq/imJPMeF4mP0d+8d0LLOqwKfYQOBTfafoCHXgtDmTiZGJylw8B/fsQY+MLcmYbumawWLOMfIuXoxNscrFKyX5qblcyu+MdqjrEP2R0f+RQI/HCe6qA9SbJ2VWSc0unE2+S41W8Ewxv/aBnWq9z+w2ezIhOJHmSklSKgOS7XsyU0oIIYQQafTzn/8cXdfPe2zYsMHq0EZE07RkssDcNWw0EuGwMX8F9bZONxcMC0sW4ra7LY4ms1yzZ2MvKkIPhQjuq7c6nBRmombMSamBxalqiYJwPMzeduMamKhDzocyW/hUa6sq95UzLXcaCT1BXVvdqI8TPnKERF8ftpwc3PPmpS/ANLhSkp8A3uXLQdOInmwk1tZmdTgp0nVPU4kkpTLAbN+TmVJCCCGEEBdm/mI9lraq0L596NEo9rJSnNOnpyu0tDCTbVdCokDTtMF2l+3bLY4mlTnP60TPCTpDnaM+TnKelGJDzuvb64kmopR4Spiep9Y1kAnJCpYdO5TbGc281sfSwmcOcfcuW4bmcKQlrnQx72kTfUYegD0/H3d1NaDeYH3z67/rbHo2cFCBJKUyYPpA+15zT5BoXK0hfEIIIYQQKjBnsOxq3UVCH93vS0Nb91QbCLy9xUjOrKpQK4mRKb7VqwH1klIF7gLmFM4BRl9ZEG1tJXqyETTNqKBQiJnUXVGxQrlrIBO8S5eCw0GspYXomSarw0lh3tPGUv0Z3KnmjLz+SD8HOg8AsHrSaoujyY7BRLtaLXyLSxfjsDloDbZypv+M1eGkhSSlMqAsz43bYSOhQ1O3VEsJIYQQQpyrurgan8NHX6QvuZ39SCVbqhRbwLX4WzjdfxqbZrsiWl0AfFcZC9VgbS16TK1doZI7o42ygiU4UCnhrq7Gnq/WLB3zc7pS3mc2nw/PooUABBWb92N+D/a17xvVBg66rierclSbkWf+8WBa7jQm5UyyOpysGJwrpVallNfhZXGJsTvgjrOjvwb0eBw9Hk9XWGMiSakM0DSNaUUDc6WkhU8IIYQQ4jwOm4OlZcbA1tG08A0dCOxdrtaC3FwoLCheQK4r1+JossM9dy62/HwSgQChAwesDieFWdlhVq+NlDm/SLXWvXginhw+vbxCrQquTPKtNL4PfsWq8mbkz6DYU0wkEWFf+74Rvz56ponY2bPgcCi3w+P2swOVn5PUugYyyZxfFj50iHhvr8XRpDK/D6O9pwH0Pvkkx2+/g95nnklXWKMmSakMSe7AJ8POhRBCCCEuaCwzWEIHD5Lo7cWWm4tnwfx0hzYmO1qMpNSV0roHoNntg0Oo31QrWWB+Hw52HqQ3MvLF5eA8KbWqV452H6Uv2ofP4aO6qNrqcLLGrMpT7X2maVqyhW80iXaz9dWzaCE2rzetsY3VzhYjMXsl3dMcZWU4Z0wHXSe4S62h4qsrjGvA/FkzUnosRvt/f59IQwOR4yfSGdqoSFIqQ8y5Uqc6JSklhBBCCHEhyQXc2doRD2w1F6S+lSuVHQh8JVUVwJC5UjvUaqsq85UxM38mOvqIE6Dxnh7Chw8Dg5UTqjAr8paWLcVhU+sayCTfqlVgsxFtbCTa3Gx1OCnMFr7RzJUKvPEGADlXXZ3WmMYqEA1Q32HsqnnF3dPMuVKK7fa4rHwZDs1Bk79pVHOlev/8ZyINDdgLCyn64AczEOHISFIqQ8wd+BolKSWEEEIIcUFLSpckB7ae7j89oteaCzjfVVdlIrRRawu00dDbgIZ2Rey8N5Rv9cACbudOZWaVmEbbwheorQVdxzVjBo6yskyENmpvNr8JwFWT1boGMs2em4tn0SJAvcH65jVf11pHPDGyayDwpvH99F2tVlKqrrWOuB5nSs4UpuZOtTqcrDJbRVVLtPucPhaVGtfASKul9FiMtu9/H4Dij3wYe25O2uMbKUlKZUhl8cBMqS6ZKSWEEEIIcSEeh2dwYOsIfrHW4/HBlirFFnBm9Up1cTX5LrWGYmeaZ8ECbDk5JHp7k9VFqjDbjkaalDKHnHtXq1UhktATyffalbIb2lBmC59/IDmtiuqianKdufRH+znYdXDYr4ucPk20qQkcDnzLl2UuwFG4EudJmcyW3eC+fSRCIYujSTXaRHvPnx4nerIRe1ERxe9/fyZCGzFJSmXItIFKqdNSKSWEEEIIcVGj+cU6tP8Aif5+bHl5Mk9KIZrDgXeFUSliVn2owlxQj3SulLkdvFkxoYpDnYfojfTic/hYWLLQ6nCyLmcgGa3aXCm7zZ689s1KtuEIvGE817tkCbYc6ytXhrqS72nOykocFRUQjRKsq7M6nBTJuVIj2IFPj8dp/8EPACj56EeUea9JUipDppcYSakOfwR/WK1tcYUQQgghVHH1ZGNx+UbLG8OeK5Vsc1m1Cs1uz1hso2EuEK7EqgKAnDXG99P/uloVLOW+8hHPlYr39xPcZ+yiZs7LUsWbLcY1sKJiBU6b0+Joss+7YiXY7URPnTIqjBRitlO+0TL8ayDw5kA78tVqtWIGY0H2dRjXwJV4T9M0bcg97XWLo0m1rHwZds3Omf4zw54rFdq3j+ipU9jy8ih63/syHOHwSVIqQ/I9Tgq8xg8I2YFPCCGEEOLClpYtxWVz0Rpo5WTvyWG9xv+mmvOkWgOtHO85joZ2RVYVAPiuXgMYs370mFp/mB3pNuqBHTsgHsdZWYlrmlqzdMzP4epJarWvZos9NwfPYmOmjl+xqryrJhn3pdqztUTj0cs+X9d1/AOVUjmK3dN2te4ilohR4atgWu40q8OxRPKetk2tpNRo5kqZfyzwXX0VNp8vY7GNlCSlMig5V6pT5koJIYQQQlyIx+FhWfkyYLD641L0WIzgwE5IOYpVFbzRbPzCP794PgXuAoujsYZnwXxsBQUk+vsJ1ddbHU4Ks91l2EmpgUVozpo1GYtpNGKJWHJ3t9WT1argyiYzgaNaC9/corkUuYtSqowuJXrqFLGWFnA68S5fnoUIh+/1ZuMaWDN5DZqmWRyNNcyfM8F9+4j391scTaqR3tP8r28DIGfN2ozFNBqSlMogcwe+UzJXSgghhBDioszKAjOpcymh/ftJ+P3Y8vNxV1dnOrQRMeNfM1mtJEY2aXY7OeYQasVa+Mz5ZQc7D9Id6r7s880h2r41alUjHew8SH+0nzxXHvOL1Jqplk1mpWRAsWHnNs2WfK8NZ66U+T7z1tRg83ozGttImfc0s836SuScOhXn9OkwZIMNVQxtFb1c+3siHCZYuwuAnLVq/YySpFQGTS8eSEpJ+54QQgghxEWZC57tLdtJ6IlLPjeZKFBsnpSu68kZMlfyAg7AN1BZZP5VXhVlvjLmFM5BR79sVV6ss5PwQWP3NNUqpczYV1asxG5T5xrINt+KFeBwED1zhsipU1aHk8JMtA+n+tMccq5a5WdPuIcDHQcAuaeZ94CAYon2FeUrcNlctPhbLtv+HtxVhx4O4ygrwzVrVpYiHB5JSmXQNDMpJe17QgghhBAXtah0EV6Hl65wF0e6jlzyuf7XXgMgZ61a7QeNfY20+Ftw2BwsL1erBSfbzAVcsHYXiXDY4mhSmVVsZlvSxZjVN+5583CUlGQ8rpEwEx1m4uNKZcvJwbt0KQD+19RKgJoVLHWtdYRioYs+T08k8G8zYjdnF6lie8t2dHRmFcyi3FdudTiWUnXYucfhSf68udw9zfwjgW+Neq2YkpTKoMoic6aUVEoJIYQQQlyM0+ZkRcUK4NKVBYlQiOBOY+e0nGvWZSW24TLbXJaWLcXnVGeArBVcs2bhKCtDD4cJ7qqzOpwUw01KJQcCK9a6F4lH2NlizJO60pNSADnrjOS0maxWxcz8mZR7y4kkIuxu233R54UPHybe0YHm9eJdvix7AQ7D0HlSVzqzVTR88CCxri6Lo0llVrFdNtE+cE9TrfITJCmVUZVD2veGu8WxEEIIIcSVyNxF7FJzpQI7dqJHIjgmTcJVVZWt0IbFXBBc6W0uYGyjnmzhe0OtyoJVk1Zh1+yc6jvF6b7TF32eqgOB61rrCMVDlHpLmVc0z+pwLJez1khOB15/HT0etziaQZqmDc77ucQ9zf+qkUzzrV6FzeXKSmzDJfOkBjlKS3HPnQsMtluqwkwavtn8JvHEha+BeH8/wb17gcGqL5VkNCk1c+ZMNE077/GJT3wik6dVxtRCL5oGgUicTn/E6nCEEEIIIZQ1dK7UxbZR928bbN1Tqf0goSeSux9JVYHBXPioto16jjOHmrIa4OKVBdGmJqInG8Fux3eVWrvbvdZkXANrJ6t1DVjFW7MEW24u8Z4eQvsPWB1OCvNeYH7PLiTZjrxOrcrPFn8LDb0N2DQbqyatsjocJSQT7dvUahVdWLKQPGcefdE+9nfsv+BzAtu3QzyOc/p0nFOnZjnCy8toUmr79u00NzcnH88++ywA99xzTyZPqwyP005FngeAU10yV0oIIYQQ4mLmF8+n2FNMIBa4aLuLOTdGtQXcoc5DdIe78Tl8LC5dbHU4SjBnfgX37CHe02NxNKnWTjZiu1hSylx0ehYvwp6bm7W4hmNbsxHb2ilqVXBZRXM48F09MO9HsWTBuinGfWp/x366Que3fCXC4eRubqrd08wqqUUli8h35VscjRqSraKvvqpUF5TdZk9W5V3snhYYmIWVc7V6VVKQ4aRUWVkZkyZNSj6eeOIJZs+ezfr16zN5WqVUFhtzpRplrpQQQgghxEXZNFtyoX2hyoJYRwfhA0YlhLk4UIWZKFhZsRKnzWlxNGpwTpli7PCUSOBXrFpqzRSj4uGN5jcuuNtj/yuvAJB7zbVZjetyukJdyd3QpCJvkJkAVW2uVJmvjLlFc9HRL5gsCNbWJndDM1vDVCHtyOfLueoqcDqJnj5N9OSld7rLNvN+cLFW0f5XXgUg55prshbTSGRtplQkEuHhhx/mwx/+8BVValpZZO7AJ0kpIYQQQohLMSsLXm169byPmYkN9/z5yu2G9uoZI95rpqr5C79Vcq41vh7+V1+xOJJUi0sX43P46A53c6jzUMrH9Hh8sCLvOrWSUm80v4GOztyiuZT5yqwORxlmlVFw504SQbW6U66ZYlwDF0q0D7buqdWKmdATyXjNe7Iwdnv0rTA25DCTPKowk1K1rbUEY6nXQPTMGSLHjoHdrtwfdExZS0pt2rSJ7u5u7rvvvos+JxwO09vbm/IY72aXGyW/h1r6LI5ECCGEEEJt5gLoQMcBOkOdKR8bOk9KJf6on9pWY0fAa6eqlcSwWu61xtej/xW12l2cNierJxmzos5NgIb27iXR04MtPx/vkiVWhHdRyUTBZEkUDOWqmolj0iT0aJTAwO6cqkhWf5557bxrwBxyrlrr3oFO4/6b48xhWfkyq8NRSjLR/vLLFkeSakb+DCbnTCaaiLKjZUfKx8wEmnfpUuz5arZiZi0p9f/+3//j1ltvZcqUKRd9zgMPPEBBQUHyUVlZma3wMmbJ1AIA9pzutjYQIYQQQgjFlXpLqS6qNtpdmgbbXXRdV3YB92bzm8QSMablTmN63nSrw1GKb/VqNJeLWHMzkePHrQ4nhVnV9sqZ1Cqu/peN/85Ztw7N4ch6XBej67rMk7oITdOS9wXVkgUrK1bitrtpDbZyrPtY8t9jXV2EBtqRfYol2l85bVwDayavkXbkc+Redx0A/jffJBFRZyMzTdOSfxR5+UzqNeB/xfhvM6GmoqwkpU6ePMlzzz3HRz/60Us+7/7776enpyf5OHXqVDbCy6iaaUZSqqEjQHdAnTeuEEIIIYSK1k09v4UvfPgIsZYWNI8H32q1doIy47x26rVKteCowOb14ltlfL/6FUsWmAu4utY6+iKDHQ39Awu4XMUWcCd6T9Dib8Flc7GiYoXV4Sgn93ojWaDa+8xtd7OqwrgGht7T/K+8ArqOe948nOXlVoV3QWac0o58Pnd1NfayUvRgkGCtWlV55j1taKJdj0aTre9mQk1FWUlK/exnP6O8vJzbb7/9ks9zu93k5+enPMa7Qp+LGSXGXKk9p9XaeUQIIYQQQjVmC9+2pm3Jdpf+rVsBY+cgm8djWWzn0nU9uQCQ1r0Lyxlo4fMrNoOlMq+Smfkzievx5FDnWFcXob37gMG4VfHyaSPZsrJiJV6H1+Jo1JOzbh3Y7USOHyeiWGGDWdm2rWlwd8D+LcY9LVexDcB6wj3J3U+vnaLWNaACTdPIXTfQwveKWrPyrp58NQ6bg1N9pzjZawxiD+7eTaK/H3tREZ5FiyyO8OIynpRKJBL87Gc/40Mf+hAOhUpgs6lmWiEgLXxCCCGEEJezonwFXoeXtmAbh7sOA9D/0kBSav31VoZ2nobeBs70n0mZUSRSmS0jge3bSYRCFkeT6rppRuWAmfAJbNsGiQTuuXNwTppkZWjnMWO8fppa14Aq7Pn5g0Oot75kcTSpzGHnO87uIBgLosfjgzs8blArKfV68+sk9ASzC2YzOXey1eEoKWfIrDyV5DhzWFm+Ehi8X6S0I9uyNrlpxDIe2XPPPUdjYyMf/vCHM30qZS0daOHbLZVSQgghhBCX5LK7uGrSVQC8dPol4j09BHfVAZB7vVoLOHPXvRUVK/A5fRZHoyb33Lk4KirQw2EC27dbHU6Koe0uuq4Pbpt+rVptLn2RPnae3QnA+mlqXQMqyR1IWptJbFXMLpzN5JzJhONh3mh+w6he6enBVlCAd+lSq8NLITuJXl7ONetA0wgfPEj0bKvV4aQ4t4XPrOZSbSfRc2U8KbVx40Z0XWfevHmZPpWyllYWAlIpJYQQQggxHGY1yJbTW/C/+irE47jmzMY1barFkaV6pWmgdU/aXC5K07TBeT8vbrE2mHOsqliVrMo72HEg2Saaq9gCblvTNmJ6jJn5M6nMH/8bQWVKzvXGfSPwxpskgkGLoxmkaVoymbj19NZkJVfuNdcoN0zfTEpJO/LFOYqL8dQYO3P2b9libTDnMKs/t7dsp6/lFKH6esB4r6lM3RquCWTRlHxsGpztDXO2V62yZSGEEEKMDw0NDXzkIx+hqqoKr9fL7Nmz+Zd/+RciCu0AlC7mAm5v2146XngWUG/2SiAaYHuzUfkjC7hLy73hRgD6tryYnBOmApfdxdWTrgZg99ZHiHd0YMvNTQ5nV8XW00ayTFr3Ls09dy6OyZONqrw337Q6nBTrK43710unXqJ/6xZAvda9g50HaQ224nV4ZZj+ZeQN3NP6X3zR4khSzSqYxeScyUQSEQ489ksAPEuW4CgrsziyS5OkVBb4XA7mVeQBsPtUt7XBCCGEEGJcOnjwIIlEgh/96EfU19fzX//1X/zwhz/kn/7pn6wOLe0qcipYULwA9ERyNy3lWveaXiWSiFCZV8nswtlWh6O0nLVr0DweYk3NhA8dsjqcFGZlgX+giiv3+uvQXC4LI0qV0BPJVhxp3bs0oypvoIVvq1otfKsnrcbr8BI7e5bwwUOgacoN03/xlJFgWTt5LW672+Jo1JZ7ww0A+LdtU64qz/wjSf8Lxvcz7y03WhnSsEhSKktqknOluq0NRAghhBDj0i233MLPfvYzNm7cyKxZs7jrrrv4h3/4B/74xz9aHVpGbKjcwKxmcPT4jeqVFcutDinFi43GL/w3VN6ApmkWR6M2m9dr7I4G9L3wgsXRpDKrjyrrWoDBqi5V1LfX0xnqJNeZy/IKta4BFZkVlf1btipVlee2u1k3ZR3LjxsxeWtqcBQXWxxVKjMpdeN0ta4BFbnnzcU5dSp6OIx/27bLvyCLNlRuwB3RKak/A6h3T7sQSUplyeAOfDLsXAghhBDp0dPTQ7FiC5t0WV+5ntVHEgB4r1mL5nRaHNGgWCLGS2eMuTA3VN5gcTTjQ96NxtfJ/Ou9KiblTOIafTaV7Tq6zZacf6UKs3Vv7ZS1OG3qXAOqyllzNZrbTbSpifDBg1aHk2L9tPWsPGIkpVRr3Wvqb+Jg50Fsmk3aRIdB07RktZRqifarJ1/N6kYXrhjok8txz5trdUiXJUmpLFk2MOx8V2M3x9r6rQ1GCCGEEOPesWPH+O53v8vf/M3fXPQ54XCY3t7elMd4sbB4IesO2wFoWTXT2mDOsat1Fz3hHgrdhSwrX2Z1OONC7oYNoGmE9u1TbseqO5oqADgzJx97QYHF0aQyq1ekdW94bD5fcqexvmefsziaVNcUraTmhJGUilyjVtWb+T5bXr6cIk+RxdGMD8lE+5at6ImExdEMctvdvPVMCQCNSyvGRSWvJKWyZP6kPKor8ugPx3jXD16jtrHL6pCEEEIIoYCvfOUraJp2yceOHTtSXtPU1MQtt9zCPffcw0c/+tGLHvuBBx6goKAg+aisHD87d0WOH2dSe4yoHV6Yplal+QuNxl/Gr592PQ6bOrtnqcxRWoq3pgZQb8eqOfXdALw4w48/6rc2mCEaexs53HUYh+ZgQ+UGq8MZN/JvvhmAvmeftTiSVJ439+GKQ1MRvOI6aXU4KYa2I4vh8a1ahS03l3h7O6G9e60OJ0mPx5P3tKcrO60NZpgkKZUlDruNX3/sapZOK6ArEOX9P3md+/+4hxcPthKKxq0OTwghhBAW+eQnP8mBAwcu+Vi8eHHy+U1NTdxwww2sXbuWH//4x5c89v33309PT0/ycerUqUx/OmljLij3ztR4pu1lEroaf4nWdX1w9kql+rM6VDLY7vK8xZEMivf0oNcZ26a/OXtwqLgKnj1pXAOrJ62mwK1WBZfKcjdsAIeD8JEjRBoarA4nqXfgnvbGfI3nGtW5BnrCPew4a/zhQ+5pw6e5XINVec+r08IX3L0be08/fg9sKWrheM9xq0O6LElKZVFJrpvf/NUabqguIxRN8Js3T/GXP9/Oin97lr99eCe/336Klw63sed0N40dAXqCURIJdQb0CSGEECL9SktLmT9//iUfHo8HgDNnzrBhwwZWrFjBz372M2y2S/8q53a7yc/PT3mMF33PGAu43Qu9tAXb2NW6y+KIDEe6j3Cm/wxuu5u1U9ZaHc64knfTWwDwv7aNuCKtpH0vvAjxOH3TijhbpPG8QskCMyl104ybLI5kfLEXFJBz1VUA9D2nRgtfIhSif6sxh+7NeTbebHmTrpAanTMvn3mZuB5nTuEcKvPHTzWtCvJuMq7N3s1PKzNY32xbPbW4nLhdS1bBqUzqjbPM53Lw/z60mlePtfNM/Vme3X+Wlt4QT+1r4al9Lec936ZBvtdJoddJgddJvtdJvsdJvtcx8L/mvzmSHysY8jG3wzYu+kiFEEIIcWlNTU1s2LCB6dOn861vfYu2trbkxyZNmmRhZOkXOX2G0P79YLORe+MN0LqZzQ2bWVmx0urQeKbhGcDYNt3n9FkczfjinjMH99w5hI8cpe+55yl8x9utDonep54EwLvxLcAmXj79MtF4FKfd2qHiTf1N1HfUY9NsshvaKORtvBn/a6/R++yzlFyixTlb/K+9hh4I4Jg8GdeiEuJdB3m+8XneNe9dVofGcyeNJIa07o1c3oYNaB4P0ZONhPbvx7tokaXx6IkEvU8/DYD3phuBR3ih8QU+suQjlsZ1OZKUsoDNpnHd3DKum1vGV+9exN4zPTy7/yw7GrroCkToCUbpDkQJRuMkdOgOGP89Gi67zUhgJZNZqQksM7lVcIHkVr7XgdthT/NnL4QQQojReOaZZzh69ChHjx5l2rRpKR9T5S+06dL3nFEh4lu1ig1L7uJ/n9/Mcyef4wurv4DdZt3vJrqu83SD8Qv/LVW3WBbHeJZ3662Ej3yX3qefsjwpFevqwv+asZ373HfdR+mOV2gPtvN68+tcN83aXfjMKqkV5Sso9ZZaGst4lHvjjfCvXyW0ew/Rs2dxVlRYGk/fZiOZnXfzTWysKudA10GeaXjG8qRUX6SPl0+/DMBbZ77V0ljGI1tODrnr19O3eTN9Tz9teVIqWLebWHMztpwcVtz9EbQ//YE97Xto8bcwKUfdP15JUspimqZRM62QmmmF530sHIvTE4zSE4jSHYzSG4zSG4rSG4zRc85/94bO+f/BKAkdIvEE7f0R2vsjo4rP7bAlk1UXrdS6SHIrz+PE5ZAOUSGEECId7rvvPu677z6rw8gKs3Uv7+abWTt5LXnOvGQL36pJqyyL60DnAU72nsRj90hVwSjl33Ir7d/5Lv7XthHr6sJRZN1OX33PPQexGO758/HMms1NrTfx20O/5akTT1melDKrV6R1b3Sc5eV4ly0juGsXfZufofgv7rUsFj0ape9Fo4Uq/+ab2TijgodqH0q28Fm5290LjS8QSUSYXTCbeUXzLItjPMu/9Rb6Nm+m96mnKfvsZy3tUup90qj8zLvpLZQXTWNlxUp2nN3BUyee4i8X/6VlcV2OJKUU5nbYKc+zU57nGfFrdV2nPxyjNxQzklfB6OD/H5rYCl0guRWM0heOoesQjiVo6wvT1hce1efgddpTElgFF6nUGvrfBQP/P8/jwGGXpJYQQghxJYmcPk2wthY0jbyNN+O0O7lh+g386difeObkM5YmpZ4+YVRJXT/temndGyX3rCrc8+cTPniQvueeo+ieeyyLpe+ppwDIv/VWAG6fdTu/PfRbnm98nmAsiNfhtSSus/6z1LXVAXDTdElKjVb+rbcS3LWLnieesDQp1f/yKyR6e7GXluJdsYLpdjvzi+dzsPMgLzS+wDvnvdOy2J46YVwDt1TdIiNfRil3/Xo0r5fo6dOE9u3Du2SJJXHo8Ti9m42fUXkD97TbZt3GjrM7+PPxP0tSSmSfpmnkeZzkeZxMLRz5D9REQqc/EqMncH7Camhyy6jYGpLMGvhYXzgGQDAaJxiNc7Z3dEmtHJd92K2GQ5NbBV4nuR4HdpvcXIUQQojxpPeJJwDwrbk62XLz1plv5U/H/mRpC19CTyRb926tujXr559I8m+5hbaDB+l76mnLklKxjg78r79hxHOb8f1cWraUqblTOdN/hi2ntlj2fX7yhFHtsKJ8BRU51radjWf5t93K2a9/ndCePYRPnMBdVWVJHD2P/wmAgttvQ7Mb966NMzZysPMgmxs2W5aU6gx18nrz64Dc08bC5vWSd8MGep98it6nnrYsKRXYsZN4Wzu2ggJy160D4ObpN/Mfb/wHh7oOcbTrKHOK5lgS2+VIUkpckM2mGUkez+iGPMYTOv2h2JDE1ciSW/5IHAB/JI4/Eqe5JzSqOPLcRuIqbwRztMzkVp7bgU2SWkIIIUTW6LpOz2MDC7i77k7++9rJa8lzGS18O87u4OrJV2c9tj1te2j2N5PjzOHaqddm/fwTSf6tt9D27W/jf+MNYp2dOIqLsx5D3zPPQCKBZ/FiXJXGjmOapnFb1W38ZO9PePL4k5Ys1HVd50/HjGvgztl3Zv38E4mjtJSca9bhf+lleh9/grK/+1TWY4j39dH//AsA5N91V/Lf3zrzrXxn13d4o+UN2gJtlPnKsh7bsw3PEtfjLCxZyIz8GVk//0SSd8stRlLq6aco/4f/g3aZnXEzwdy0Ie+mt6C5XAAUegq5dsq1bDm9hSdPPMnfFf1d1uMaDklKiYyw2zQKfE4KfE5Gs7FoLJ4wqq6GJLIul9zqGfKxYNRIavWFY8mqrZHStMGk1uVaDVOSWwP/P9ftkDJYIYQQYgRC++qJnDiB5vGQd/Ng25LT7uStM9/KI4cfYdPRTZYkpcw2lxsrb8TjGPloBTHINWMGnkWLCNXX0/vEny1prep54s/AYOue6fZZt/OTvT/hlTOv0B3qptBTmNW4DnYe5Gj3UVw2FxtnbszquSeigjvvwv/Sy/Q8/jiln/pk1n8379u8GT0SwTVnNp6FC5P/Pj1/OsvKllHXVsfjxx/nw4s/nNW4AJ5qMO5pt1XdlvVzTzS511+PLTeXWFMzgTe3k7Mmuz+j9EgkOUw//7bU7+fts25PJqU+tfxTSq5PJSkllOSw2yjKcVGU4xrV6yOxBH2hkc3R6g0NDpAPxxLoOsbrQzEgOOIYbBrnJ7TOS245KPA5z0t25Xuc+Fx2JW8aQgghRKb0/MmoEMm78UbsubkpH3vbnLfxyOFHeO7kc/zT1f9Enisva3FF4pFkS5XsupceBW9/O6H6err/8AeK7v1gVn/nCR8/QXDnTrDZyL/jjpSPzS6cnZz388zJZ3h39buzFheQrJK6YfoN5Lvys3ruiSjvLTei+XxET50iWFeHb/nyrJ4/Wfl5513nvcfvnnM3dW11PHb0Mf5y0V9m9Ro403+G2rO1gOy6lw42j4f822+n+3e/o/uPf8h6UqrvxS3Eu7pwlJWRc3XquddXrsfr8HKm/wy723azrHxZVmMbDklKiQnJ5bBRkuumJNc9qteHovEhlVqXbjU8N/HVG4wSiSdI6NAdiNIdiI4qBrtNS1ZfFVywWsuRMkPr3Eouj9MmSS0hhBDjhh6N0vtno3ql4O67zvt4TWkNVQVVnOg5weaGzVndSv2FxhfoDndT7i1n3ZR1WTvvRFZwx+20fuMbhA8dIlS/H+/i7G2l3v2HRwCjusFZUX7ex2+ruo2DnQd5/NjjWU1KRRPRZPLzrtnnXwNi5Gw+H/k330TPY3+i9/HHs5qUijY1Edi+HYCCO+847+O3zLyFr7/5dY73HGdv+15qymqyFtsfj/wRHZ01k9cwKWdS1s47kRW+8x10/+539G1+hviXvoQ9L3t/OOl+xLinFbz97WiO1BSP1+HlLdPfwhPHn+BPx/4kSSkhxguP047Haacsb/RJrcEk1gUSWJdpQ4wldOIJna5AlK5RJrWcdu0irYXDS255nNkfIiuEEOLK1f/yK8Q7O7EXF5Oz7vzEj6ZpvH3O23lw54NsOropq0mpR44Yv/C/be7bcNjk1+d0sBcWknfTTfQ++STdf3gka0kpPRqlZ9NjABTec+H30O2zbueh2oeoa6vjcNdh5hXNy0psr515jc5QJ8WeYtZOWZuVc14J8u+8i57H/kTPn5+k/POfx+bJTvttz58eB8B31VU4p0w57+O5rlxumnETTxx/gseOPpa1pFQsEWPTkU0AWb2PTnSeJUtwz51D+MhRev/8JEXvfU9WzhttasL/yiuAkRi7kLfPeTtPHH+CPx//M/9n1f8hx5mTldiGS36qCpEBZlKrPH/kP/R0XScUTVy21fDcOVpDPxZP6ETjOh3+CB3+yKg+B5fDdl4Cq+CSux6mVnW5HNkf8CeEEGL86vrNbwAouPtuNOeFN1q5c/ad/397dx7dZJX+Afz7Zu2e7huFsogFhEFZFBBk0BGoICDI6pSl6gyIooiMOC4w/s4oouKwisMAKiKLFBSEGSlCy6asFRGQoi20QEvpnm5Z7++P2kohXZImaZt8P+f0HJLc981zz+2bPDy9975YcmoJTt84jbTCNLT3b+/wuDK1mTiadRQSJIzuaDnhJ9v4Pz4Gxbt3o/jrXQh7+WWnFAtKkpNhysuDPDgYPg88YLFNqFcoBrUehL0Ze/HFhS/wap9XHR4XAGz/ZTuAyplaSpltNxui23n37QNlZCQM166heNfuWv/jbk/CZELBls0AKmev1GbUHaPwddrX+G/6fzG391yn7Fd38MpB5JTnINAjEA+2ftDh7+cuJEmCZswY5Cx8p3JZspOKUoXbtgNCwOu++6CKtrxhfe/w3mjr1xaXii9hV9oupy9Lrg+LUkTNjCRJ8FTJ4amSI1xjW1GrTG+qudSwRoGrln22bipuCVG5L1duiQ65JTqb+uGhlDV4qaGl4pZSzqIWEZG70F++jNKDBwFJQsDECbW2C/YMRv9W/ZF8JRlf/vIlXuz1osNj236xslDQN7IvWvm0cvj7uROvPr8XC7SJidA86vi7zRVuTQAA+I+qvfgJAONixmFvxl7sTNuJ2T1nw0vp5dC4rpVcw/7M/QCAMR3HOPS93I0kl8N/4gTceH8xCjZudEpRqiQpCcZrWZD7+8MvtvZ96HqH90akdySulV5D4uVEp9xxsWrm54gOI6CUs/hpT5oRI5Dz3vuoOHMGFRdS4RHj2FmWwmRC4bbfPtMer/1zQ5IkjL1zLN498S6+SP0CY+8c26y2eWFRisjFSJIEb7UC3moFIjSeVh9vNguU6o01lhoWWdo765ZZXFXFLW1F5d0OKwxmVBh0yNHaVtTyUsmt3ker6rGvhwIKFrWIiFqMgo2bAADeA/pD1aZNnW1HdxyN5CvJSLiYgOndpzu0WGA0G/HlL18CYKHAESSZDJrRo5G7fDkKNm12eFHKkJWFkgMHAACa0XWP530R96GNbxtkaDOwO323w5c5bbqwCWZhxn0R9+GOgDsc+l7uyH/MGOQuXYaKn35C+Zkz8OzWzaHvV7Dh88r3fXxMnTMAZZIMozuOxvIflmPD+Q0Y3n64Q4sF2aXZOHS1cqkXP9PsTxEYCN9Bg6BNTETBpo2ImD/foe9XeuQIjNeyIPPzg+/DD9fZduQdI7Hk1BL8nP8zfsr9Cd1CHHsNWINFKSKqQSaT4OuhhK+HEq38rS9qmcwCJbrbC1hF5ZZnalUVt7S/3f2wRFdZ1CrTm1CmNyG72LZ+eKvkvxWu6thH65bXqpYe+ngoIJc1n78eEBG5MnN5OQq3V85GCpg0qd72A6MGIsonCldKrmDHrzswoVPtM6saa2/GXtwov4FAj0AMaj3IYe/jzvzHPo7cVatQfvIkyn/8EZ5/cNy+OvnrPwPMZnjdey/U7dvV2VYmyTAuZhzeO/EetlzYgjEdxzisWFBuLMe2i9sAAJM61X8NkPUUgYHwjR2K4h07UfD5Rni+7bj/kOvS0lF65AggSfCfMLHe9uNixmH1mdU4m3cWKTkp6BHWw2GxbU3dCrMwo1dYL7TVtHXY+7izgD//GdrERBRt/xIhs2ZBERDgsPfK//gTAJUztOpb/qxRazCk7RDsTNuJLalbWJQiItcll0nQ/La3lC2MJvNvRa3bZ2M1pLhVqjcBAEr1JpTqTbhWVGFTHL7qmwtXte+jdVvhy1MJH5UCMha1iIgapHj3bpiLiqCMioLPgAH1tpfL5Phzlz9j4bGFWH9uPcbFjINMsv/sWCEE1p5ZCwAYHzOey1wcRBkWBs2wYSj66ivkrV2HqH994JD3MWm1KNxcucdPYPy0Bh0zssNILD21FOfzzzv0Vuq703ajSFeEVj6tMDBqoEPeg4CAiRNRvGMninfvRujf5jqsWFC1P57PoEFQRdW/5DfAIwDD2w9HwsUErD+33mFFqTJDGTb+XBmbI4v57s7r3t7w6NIFFefOoXDTJgTPmOGQ96n4+WeUHj4MyGQInDK5QceMixmHnWk78XXa1xjRYQR6h/d2SGzWYlGKiJoVhVwGfy8V/L1UNh1vMJmhbeBSQ0vFrXJDZVFLqzNCqzPiamG51TFI0k1FrQbuo6XxUlY/9lbJm9U6byIiRxFmM/I/+RQAEDBhPCR5w+78+tgdj2FFygpkaDOQnJmMQW3sP4vp+6zvcT7/PDzkHpjYqf7ZDmS7wPh4FH31FbR79kCfmQlV69Z2f4/CLVtgLi2F6o4OtW5wfit/D38Maz8M23/ZjtVnVmPFQyvsHpcQAht+3gAAmNhpIuQy3v3YUTzvvhvqLp2hO3ceBZ9/jpCZM+3+HqbiYhRZMfOzSlyXOCRcTMC3Gd8iU5uJ1r72vwa2pm5Fsb4Y0X7R+FObP9n9/FRJkiQETpuGa3PnIn/D5wiMj4dMbdsd3euSt6byjyZ+Q4c0+DOze0h3DGk7BN9c+gbP73sen8Z+2iyWC7MoRUQuRSmXIdBbhUBv24paeqMZ2or699EqqmUDeZ3RDCFQ+bjCCMD6opZMQq1LC2sUs24pdFUVvzyVLGoRUcug3ZMIXWoqZD4+8B87tsHHeSm98HjM41j30zqsP7/eIUWptT9VJvyjO45GgIfjll8Q4BFzJ7z790fpoUPI/+RThL9m37vdCb0e+Z+uBwAETYuHJGv4zLqnuj2Fr379CgeuHMC5vHPoEtTFrrEdvHoQFwsuwlPhiVF3jLLruakmSZIQ/NRTuPriHOR/8ikCJ0+G3NfXru+R/8mnMJeUQN3xDnj369vg4zr4d8D9kffj8LXD+Pz853j53pftGpfepMcn5yqXek27axqLnw7mN3QIchYvhjErC8U7d8L/cfvuSWe4ehXFu3cDAALjn2zwcZIk4Z/9/4mcshyk5KRgxrczsOGRDQj1CrVrfNZiUYqI6CYqhQxBPmoE+dj2F40Kg6lyplYDlhoW/7aPlra60GWAwSRgFkBhmQGFZQabYlDIJIvLDn8vbNW+JFHjqYRaIWNRi4gcTpjNyF1ROfMkcPJkyDUaq46f1GkS1p9dj+PZx3Hq+im7Lnk5m3cW32d9D7kkx+S7GrYsghonKH4aSg8dQmFCAoJnPmPXpVVFu3bDeP06FCEh8Ht0uFXHtvFrg9h2sdiVtgurf1yNDwbZb3mhWZixPGU5AGBCzARo1NZdA2Q93yFDoLpjJfS//Ir89esR8swzdju3qagI+Z9UFn6CZz5rVfETqJwtdfjaYWxN3YppXafZtVCwK20XcspyEOIZ4pQ7/Lk7SalEYFwcchYtQt7addCMGgVJYb/SS/6nnwImE7z69IFn17usOlYtV2PpoKWI+28cLhVfwnsn3sOiBxbZLTZbsChFRGRHHko5PJRyhPhaX9QSQkBnNNc7G+vW4tbNs7qMZgGjWSC/VI/8Ur1NfVDJZb/fydCG4paHkn99I6L6affsge7iRch8fBq8H8bNwr3DMfKOkUi4mIDFJxdjfex6uxXUPzr9EQAgtl0sWvnUvycMNZ5X377V+7DkrvwQ4a/+3S7nNet01cXPgMlxkKmsn0n9dLensTttN/Zm7MXFgovoGNDRLrHtvbwX5/PPw1vpjfiu8XY5J9VNkssRPGMGrs15qXK2VFyc3WZL5X38ceUsqZgY+A6u+05olvSL7IfuId1x+sZprDq9Cm/0fcMucRnMhuqZn5O7TIZKbttqArKO/7ixyPvoI+jT0lC4fTsCrJgNXBdDdjYKNm8BAAQ9advnhr+HPz7804dYcmoJXuvzml3iagwWpYiImglJkqqLWqF+dd9BwxIhBMoNptr30bq1oGVhA3mzAPQmM3JL9Mgtsa2opVbILBSsaj6+fZ+t319TKey/YTERNS+NnSVV5Zm7n8GutF04feM09mXsw0PRDzU6tqNZR7E/cz/kkhxPdXuq0eejhpEkCaEvzUFG/JMo2LgRAZMmQt2u7jvkNUTBZ5/BcOUKFKGhCHziCZvO0cG/A/4U/SckXk7Eyh9W2mW2lMlswoofKq+BuC5x8Pfwb/Q5qWH8hg5F7soPof/VfrOljAUFKPhtf7zgmc9YPUsKqLwGZvecjan/m4ptF7chrksc2mkafw1subAFl4ovwV/tj7Ex9imMUP3kPj4IfmYGrr+9EDeWLoXmkUcg8/Zu9HlzFi+GqKiAZ6+e8O7f3+bzRPlG4d2B7zY6HntgUYqIyEVIkgQvlQJeKgXCNbYVtUr1pprFq5uWFtZ2R8Sb/y0EoDOacUOrww2tzqZ+eChlDV5qeOtzvh4KKOUsahE1d4Vbt0J38RfIfH0ROHWKzecJ9QpFXJc4rD6zGv869S8MbD0QCpnt6a3RbMQ7x98BUHmXog7+HWw+F1nPu18/eA98AKXJB3Bj8WJELVvWqPMZ8/OR++EqAEDI7NmQeXnZfK7p3adjX8Y+7M3Yi8NXD+P+Vvc3Krav075GWlEa/FR+mNyFS0SdSZLLEfzMb7Ol/rMG/o89BmVERKPOmbvyQ5jLyqDu3Bm+f7J9E/GeYT3xx6g/IulKEpalLMPiPy5uVFz5FfnVxc9ZPWbBW9n4ogg1XMDEicj/bAMMmZnIW/cxQp5t3Ob65T/+iOIdOwFJQti8V1xmuw0WpYiICEBlUctHrYCPWoFIeFp9vNksUKL/rZB1y95ZtRe3fn9NW2EEAFQYzKgw6HC92LailpdKbvU+WlXP+XooIZe5xhc8UXNlyMlBzrvvAaicUSD382vU+eK7xmNr6lZcKr6EL1K/aNSd8hJSE3Cx4CI0ag1m3m3/O3NR/cLmzkXawUPQJu5F2fHj8Opt+y3Lc5cvh7mkBB5dukAzckSj4roz4E5M6jwJ68+tx1tH38K2kdugltu2/2R+RT7eP/E+gMrfX1+VfTfbpvr5xcaiYMPnKD91Ctlv/h+iVq6w+T/45T/8gILPPgMAhL40x6ZZUjeb1WMWDlw9gMTLiTiRfQK9wnvZfK5lKcug1WvRObAzRt8xulFxkfUklQqhc17E1RdmI2/NGviPHQtlmG17hQkhcP3thQAAzciRVu8l1ZyxKEVERHYhk0mVxR0PJWDD/rQms0CJznjTPlm1F7AsFb5KdJVFrTK9CWV6E7KLbeuHj1px+9LDWpYa1rg7oqcSvmoFZCxqEdXp+j/fglmrhUfXrgiMi2v0+XxUPphx9wy8dfQtfHDyA/SN6Iu2mrZWnyevPA/Lf6jcdHrm3TO56XQTUd9xB/zHjkXh5s3IemM+2iVstWmGU9mpU9X7roTOe7nRhQKg8vfim/RvkKHNwJoza/DM3bYt+3rr6Fso0BWgY0BHzpJqIpJMhoh/LEDa6DEo2b8f2j2J8Bsy2OrzCL0eWa+/DggBzciR8Lm/cTPoAKBjQEeM7jgaW1O34tVDryJhRAJ8VD5Wn+ds3lkkpCYAAObdO4933GsivkOGwLN7d5SfPo2s119D61WrbPo8KkpIQHlKCiRPT4TMnu2ASJuOJIQQTR1EbYqLi6HRaFBUVAS/Rv4VjYiIXJvRZP6tqGW8qahVe3Hr1sJXmd7U6BgkqaqoVbOAZWmpoaUN5L1VLGo1FXfJOZq6n9pvv8WVmc8Ccjnabf0CHp072+W8ZmHGX/b8BUezj6JrUFd8+sinUMqUDT7eZDbhr4l/xdHso+gY0BFbhm9p1DJAahxjQQHSR46CMScHmtGjEfnWP60/fvQYGLOy4DfiUbRaZL87S31z6Ru8lPwSlDIlNjyyAZ2DrPsd3nNpD+Ykz4FckuPzYZ+jS1AXu8VG1stZsgR5H66CIiQE7XfugNzf36rjb6xYgdxlyyEPDET7XV/b7a6RJfoSPL7zcVwtuYoRHUbgn/2tuwaKdEWY8PUEXCm5gth2sU1+dzV3V5Gaiktjx0HodAh7ZR4Cp1i3bL0iNRWXxo2HqKhA6EtzEPRUy9jvsKE5B4tSREREAAwmM7R1LjW8vbh18wbyFQZzo2OQSYDvzcUri0sNa5/F5a2Su8z+As7mLjlHU/azIjUVl5/4M8xaLYKeehKhL71k1/Nnl2ZjzI4xKNYX4+luT2NWj1kNPnbpqaVYfWY1PBWe2DRsE9r7t7drbGS90mPHkDF1GmA2I/LdRdA82rDb2AshcOWZmSjZvx+q6Gi0TUiA3Md+++gIIfDcvueQfCUZYV5h2DhsI0K8Qhp07OXiy4jbHYcCXQH+8oe/4Ll7nrNbXGQbs06H9BEjob98GV69e6P1mv80+A6N2qSkyiK7yYTI99+DZtgwu8Z26vopTPtmGszCjHcHvouhbYc26DizMGPWvllIvpKMVj6tsHn4Zs78bAYKNm5E9j/eBJRKtN20EZ53NWz5nbm0FOljx0Gflgbv/v3R+t8f2WXmpzOwKEVEROREOqPppqJWw/bRqpyxVflYb2p8UUsukyzvnXXzUkMvS7O2Kh97Kt23qOUuOUdT9dNw/TouTZgIY1YWPHv2RJu1ayBT27YfT12qZrEAwKv3vYoJnSbUe0zVzBUAWPTAIsS2i7V7XGSbG0uXIXflSsi8vND6o1X17i8lhMCNfy1B3kcfQVKp0HbzJrvNxrtZsb4YT+x6ApeKL6FbcDesHbIWHoq6bzCSXZqNyf+djKzSLHQO7IzPHvkMKnnDih/kWBUXUnF50iSYS0vh9+ijiFz0Tr3fheWnT+PylKkQFRXQPPYYIt76p0O+P6sK5mq5GksGLWnQBvsrf1iJD09/CJVMhfWPrOdsvGZCCIErzz2Hkr3fQhEZgei1a6Fq27buY/R6XJ3zErSJiVCEhqLdl9uhCAx0TsB2wKIUERFRC1JhMDV4qWHVa9qbCl8GU+O/zhUyqZYZWRaWHf72muam19QKWYstarlLztEU/dRnZuLKzGehS02Fqn17tP18g9VLZKyx+MRirDu7DgAwt9dcTL7L8p49Qgh8/vPnWHR8EczCjEmdJuGV+15xWFxkPWE0IvMvf0Hpke8gqdVo9cFi+D74YK1ts9/8PxRuqdxHKnzBfARMqL8oaauM4gxM3DURxfpi3Bt+L9554B0EewZbbJtTloOn9jyF9KJ0RPtF4+OhH9falppGyeHDyPzrdMBohP+E8Qh75ZVaC+flP/6IzL9Oh6mgAN4DBqD1yhWQlA1fLmwNg9mAF5NeRFJmElQyFf416F8YEDXAYluj2Yh3jr2DTRc2AQDe7PcmHuv4mEPiItsYCwpwecJE6C9fhjw4GG3W/AceMTEW25q0WlyZNQtl330PKBSI/ngdvHrZvul9U2BRioiIyE0IIVBhMDd4qaGl10zmxqcDKrmsZgGrnuKWxrPmTC21ouk2YXWXnMOZ/RRCoHDzFlxftAiirAzy4GC03bQJqqhWDn/fZSnLsPrMagBAbNtYPHP3MzU2P79achWrf1yNhIuVmwCP6TgGr/Z51ap9qMg5zBUVuPriHJTs2wfI5QiKj0fglMlQBP9e1Ck/cwY3/rUEpYcPAzIZwt943aEFqSrHs49j5rczUW4sR7BnMN7s9ybub3U/ZFLl0hqT2YQtqVuw9NRSlBhKEOYVhvWx6xHhE+Hw2Mh6hQnbkPXqqwAAdceOiFz0To2Zdma9HrnLliNvzRrAbIZH166I/uRjyLzttzzUEoPJgLkH5uLbjG+hkCkwPmY8nu72NII8g6rbXMi/gPdPvI/vsr6DBAkv9HwB8V3jHRoX2caYm4uMp56G7uefIfPzQ/CMGQgYP676hg7CbEbpoUPIee996FJTIfPyQqslS+AzoH8TR249FqWIiIioQYQQKDeYat9Hy9JSxFuKW3aoaUGtkNW5QfywP0TgrkjH7IvhLjmHo/tpvHEDhdu/RPmpUyhPSYGpqAgA4NWrFyIWLnR4Qepm//7x31iWsgwAIJNk6BnWE/5qfxTrinEs+xgEBCRImN1zNqbeNbXFzvJzB8JoRNbrb6Bo+3YAlbdZ9+7bF5JKBUPOdVSc/rH6+cj33oXfYOvvomartMI0zEmeg18KfwEABHkE4b6I+1CsL0ZqQSpyynIAAF2DumLhAwsR7RfttNjIetr9+5H12usw5eUBAFTR0fC8uzsM2ddR8dNPMJeWAgD8hg9H+OuvQa5xzl5NBrMBrx16DbvTdwMAvBRe+EPIH+Cv9sfl4ss4n38eAOCp8MTbA97GQ20eckpcZBtTcTEyp89A+alTAAC5vz8877kHkkoFXWoq9Onplc+HBKP1qlUN3n+quWFRioiIiJxCCIFSven3pYa37Z1Vs9B1a/FLqzOiIdnI0on3YET3SIf0wV1yDkf3U5eejrTYR6ofy7y8EPzccwicMrlJNmb9Of9nrEhZgaQrSbe91ieiD6Z1nYZ+kf2cHhdZTwiBkm+/Re7q1dVFqGpKJTTDhiHoyXioO3Z0emzlxnIsPrEYO9N2otRQWuM1H6UPnu/xPMbeORZyWdPNBqWGM+blIXvBP6Dduxe3fjkpQkIQ9sbr8Hv44SaJ7btr32HJqSU4m3e2ZlwyBQa1HoTp3afjzoA7myQ2so7Q61G0Ywdy/70ahoyMGq/JfHzgP2Y0AuPjoQwLa6IIG49FKSIiImoRzGaBEv1vRaxy4017aNUsbo3r1RqdIxyTD7hLzuHofgohkDXvFag7d4LXPffAo3NnSA28k5UjXci/gNSCVJQYSmAymzAwaiBa+7Vu6rDIBkIIlKekQJd6EYAA5HL4PDAQyrDQpg4NBpMBJ3NOIiUnBcGewWivaY9OgZ3grXTs8i5yDFNxMcpOnkTFT2ehCA+D5x/+AHWHDpAUiiaNSwiBk9dPIqs0C4W6Qqjlajwc/TACPAKaNC6yjTAaUXLoEIw5ORAGA2Te3vD908N2vWtoU2FRioiIiKiB3CXncJd+EhERUdNqaM7h/HnURERERGSTESNGoE2bNvDw8EBERATi4uJw7dq1pg6LiIiIyCYsShERERG1EIMGDcKWLVtw4cIFJCQk4Ndff8Xjjz/e1GERERER2aRpF8QSERERUYPNnj27+t/R0dGYN28eRo0aBYPBAKVS2YSREREREVmPM6WIiIiIWqD8/Hxs2LAB/fr1Y0GKiIiIWiQWpYiIiIhakJdffhne3t4ICgpCRkYGvvrqq1rb6nQ6FBcX1/ghIiIiai5YlCIiIiJqQgsWLIAkSXX+nDhxorr93LlzkZKSgj179kAul2Py5Mmo7WbKb7/9NjQaTfVP69atndUtIiIionpJorYsphngbYuJiIjIGZoy58jNzUVubm6dbdq2bQsPD4/bnr9y5Qpat26NI0eOoG/fvre9rtPpoNPpqh8XFxejdevWzK2IiIjIoRqaW3GjcyIiIqImFBwcjODgYJuOrfrb4s2Fp5up1Wqo1WqbYyMiIiJypGZdlKpKtLj/ARERETlSVa7RjCeQ49ixYzh27Bj69++PgIAApKWl4Y033kCHDh0szpKyhLkVEREROUNDc6tmXZTSarUAwP0PiIiIyCm0Wi00Gk1Th2GRp6cntm3bhvnz56O0tBQREREYOnQoNm3a1ODZUMytiIiIyJnqy62a9Z5SZrMZ165dg6+vLyRJcsh7VO2tkJmZ6TZ7K7hjnwH37Lc79hlwz36zz+7RZ8A9++2MPgshoNVqERkZCZnMde8Dw9zKMdyxz4B79tsd+wy4Z7/dsc+Ae/abfW7a3KpZz5SSyWSIiopyynv5+fm5zS9gFXfsM+Ce/XbHPgPu2W/22X24Y78d3efmOkPKnphbOZY79hlwz367Y58B9+y3O/YZcM9+s8/215DcynX/FEhERERERERERM0Wi1JEREREREREROR0bl+UUqvVmD9/vlvdLtkd+wy4Z7/dsc+Ae/abfXYf7thvd+xzS+aO4+WOfQbcs9/u2GfAPfvtjn0G3LPf7HPTatYbnRMRERERERERkWty+5lSRERERERERETkfCxKERERERERERGR07EoRURERERERERETucWRamVK1eiXbt28PDwQM+ePXHw4ME62ycnJ6Nnz57w8PBA+/btsWrVKidF2nhvv/02evfuDV9fX4SGhmLUqFG4cOFCncckJSVBkqTbfn7++WcnRd14CxYsuC3+8PDwOo9pyeMMAG3btrU4bjNnzrTYvqWO84EDB/Doo48iMjISkiThyy+/rPG6EAILFixAZGQkPD098cc//hFnz56t97wJCQno0qUL1Go1unTpgu3btzuoB9arq88GgwEvv/wyunXrBm9vb0RGRmLy5Mm4du1anef8+OOPLY5/RUWFg3vTMPWN89SpU2+LvU+fPvWetzmPM1B/vy2NmSRJePfdd2s9Z3Mf64Z8T7nide1qmFsxt7KkJY8zwNyqiit+BrtjbgW4Z37F3Krl5VYuX5TavHkzXnjhBbz66qtISUnBgAEDEBsbi4yMDIvt09PT8cgjj2DAgAFISUnB3//+d8yaNQsJCQlOjtw2ycnJmDlzJr7//nskJibCaDRi8ODBKC0trffYCxcuICsrq/qnY8eOTojYfu66664a8Z85c6bWti19nAHg+PHjNfqbmJgIABg7dmydx7W0cS4tLUX37t2xfPlyi68vWrQIixcvxvLly3H8+HGEh4fj4YcfhlarrfWc3333HcaPH4+4uDicPn0acXFxGDduHI4ePeqoblilrj6XlZXh1KlTeP3113Hq1Cls27YNqampGDFiRL3n9fPzqzH2WVlZ8PDwcEQXrFbfOAPA0KFDa8S+e/fuOs/Z3McZqL/ft47X2rVrIUkSxowZU+d5m/NYN+R7yhWva1fC3Iq5lSUtfZwB5lZVXPEz2B1zK8A98yvmVi0wtxIu7t577xXTp0+v8VynTp3EvHnzLLb/29/+Jjp16lTjub/+9a+iT58+DovRkXJycgQAkZycXGub/fv3CwCioKDAeYHZ2fz580X37t0b3N7VxlkIIZ5//nnRoUMHYTabLb7uCuMMQGzfvr36sdlsFuHh4WLhwoXVz1VUVAiNRiNWrVpV63nGjRsnhg4dWuO5IUOGiAkTJtg95sa6tc+WHDt2TAAQly9frrXNunXrhEajsW9wDmKpz1OmTBEjR4606jwtaZyFaNhYjxw5Ujz44IN1tmlJYy3E7d9T7nBdt3TMrZhbWeJq4ywEc6sqrvYZ7I65lRDumV8xt2oZuZVLz5TS6/U4efIkBg8eXOP5wYMH48iRIxaP+e67725rP2TIEJw4cQIGg8FhsTpKUVERACAwMLDetvfccw8iIiLw0EMPYf/+/Y4Oze4uXryIyMhItGvXDhMmTEBaWlqtbV1tnPV6PT777DPEx8dDkqQ627b0cb5Zeno6srOza4ylWq3GwIEDa73GgdrHv65jmrOioiJIkgR/f/8625WUlCA6OhpRUVEYPnw4UlJSnBOgnSQlJSE0NBR33nknnn76aeTk5NTZ3tXG+fr169i1axeefPLJetu2pLG+9XuK13XzxtyKuVVtXG2cmVu592ewu+RWgHvnV8ytmsd17dJFqdzcXJhMJoSFhdV4PiwsDNnZ2RaPyc7OttjeaDQiNzfXYbE6ghACL774Ivr374+uXbvW2i4iIgL//ve/kZCQgG3btiEmJgYPPfQQDhw44MRoG+e+++7Dp59+im+++QarV69GdnY2+vXrh7y8PIvtXWmcAeDLL79EYWEhpk6dWmsbVxjnW1Vdx9Zc41XHWXtMc1VRUYF58+Zh0qRJ8PPzq7Vdp06d8PHHH2PHjh3YuHEjPDw8cP/99+PixYtOjNZ2sbGx2LBhA/bt24f3338fx48fx4MPPgidTlfrMa40zgDwySefwNfXF6NHj66zXUsaa0vfU7yumzfmVsytmFv9zhXG+Vb8DHaf3ApgfsXcqnlc1wq7nq2ZuvWvG0KIOv/iYam9peebu2effRY//vgjDh06VGe7mJgYxMTEVD/u27cvMjMz8d577+GBBx5wdJh2ERsbW/3vbt26oW/fvujQoQM++eQTvPjiixaPcZVxBoA1a9YgNjYWkZGRtbZxhXGujbXXuK3HNDcGgwETJkyA2WzGypUr62zbp0+fGhtX3n///ejRoweWLVuGpUuXOjrURhs/fnz1v7t27YpevXohOjoau3btqjORcIVxrrJ27Vo88cQT9e5f0JLGuq7vKXe9rlsK5lbMrSxxlXEGmFu562ewO+VWAPMr5lbN47p26ZlSwcHBkMvlt1XycnJybqv4VQkPD7fYXqFQICgoyGGx2ttzzz2HHTt2YP/+/YiKirL6+D59+jTLym9DeXt7o1u3brX2wVXGGQAuX76MvXv34qmnnrL62JY+zlV3AbLmGq86ztpjmhuDwYBx48YhPT0diYmJdf4lzxKZTIbevXu32PGPiIhAdHR0nfG7wjhXOXjwIC5cuGDTdd5cx7q27yl3vq5bAuZWzK2YW9WtpY+zO38Gu3tuBbhXfsXcqvlc1y5dlFKpVOjZs2f1nTOqJCYmol+/fhaP6du3723t9+zZg169ekGpVDosVnsRQuDZZ5/Ftm3bsG/fPrRr186m86SkpCAiIsLO0TmPTqfD+fPna+1DSx/nm61btw6hoaEYNmyY1ce29HFu164dwsPDa4ylXq9HcnJyrdc4UPv413VMc1KVNF28eBF79+61KdkXQuCHH35oseOfl5eHzMzMOuNv6eN8szVr1qBnz57o3r271cc2t7Gu73vKXa/rloK5FXMr5lZ1a+nj7K6fwcytKrlTfsXcqhld13bdNr0Z2rRpk1AqlWLNmjXi3Llz4oUXXhDe3t7i0qVLQggh5s2bJ+Li4qrbp6WlCS8vLzF79mxx7tw5sWbNGqFUKsXWrVubqgtWmTFjhtBoNCIpKUlkZWVV/5SVlVW3ubXPH3zwgdi+fbtITU0VP/30k5g3b54AIBISEpqiCzaZM2eOSEpKEmlpaeL7778Xw4cPF76+vi47zlVMJpNo06aNePnll297zVXGWavVipSUFJGSkiIAiMWLF4uUlJTqu6EsXLhQaDQasW3bNnHmzBkxceJEERERIYqLi6vPERcXV+OuUIcPHxZyuVwsXLhQnD9/XixcuFAoFArx/fffO71/ltTVZ4PBIEaMGCGioqLEDz/8UOM61+l01ee4tc8LFiwQ//vf/8Svv/4qUlJSxLRp04RCoRBHjx5tii7epq4+a7VaMWfOHHHkyBGRnp4u9u/fL/r27StatWrVosdZiPp/v4UQoqioSHh5eYkPP/zQ4jla2lg35HvKFa9rV8LcirmVEK43zlWYW7nmZ7A75lZCuGd+xdyq5eVWLl+UEkKIFStWiOjoaKFSqUSPHj1q3MJ3ypQpYuDAgTXaJyUliXvuuUeoVCrRtm3bWn9ZmyMAFn/WrVtX3ebWPr/zzjuiQ4cOwsPDQwQEBIj+/fuLXbt2OT/4Rhg/fryIiIgQSqVSREZGitGjR4uzZ89Wv+5q41zlm2++EQDEhQsXbnvNVca56nbLt/5MmTJFCFF5i9P58+eL8PBwoVarxQMPPCDOnDlT4xwDBw6sbl/liy++EDExMUKpVIpOnTo1qwSyrj6np6fXep3v37+/+hy39vmFF14Qbdq0ESqVSoSEhIjBgweLI0eOOL9ztairz2VlZWLw4MEiJCREKJVK0aZNGzFlyhSRkZFR4xwtbZyFqP/3WwghPvroI+Hp6SkKCwstnqOljXVDvqdc8bp2NcytmFu52jhXYW7lmp/B7phbCeGe+RVzq5aXW0m/dYKIiIiIiIiIiMhpXHpPKSIiIiIiIiIiap5YlCIiIiIiIiIiIqdjUYqIiIiIiIiIiJyORSkiIiIiIiIiInI6FqWIiIiIiIiIiMjpWJQiIiIiIiIiIiKnY1GKiIiIiIiIiIicjkUpIiIiIiIiIiJyOhaliKjFWbBgAe6+++6mDoOIiIjIZTC/IqKmIAkhRFMHQURURZKkOl+fMmUKli9fDp1Oh6CgICdFRURERNRyMb8iouaKRSkialays7Or/71582a88cYbuHDhQvVznp6e0Gg0TREaERERUYvE/IqImisu3yOiZiU8PLz6R6PRQJKk2567dXr51KlTMWrUKLz11lsICwuDv78//vGPf8BoNGLu3LkIDAxEVFQU1q5dW+O9rl69ivHjxyMgIABBQUEYOXIkLl265NwOExERETkY8ysiaq5YlCIil7Bv3z5cu3YNBw4cwOLFi7FgwQIMHz4cAQEBOHr0KKZPn47p06cjMzMTAFBWVoZBgwbBx8cHBw4cwKFDh+Dj44OhQ4dCr9c3cW+IiIiImh7zKyJyNBaliMglBAYGYunSpYiJiUF8fDxiYmJQVlaGv//97+jYsSNeeeUVqFQqHD58GACwadMmyGQy/Oc//0G3bt3QuXNnrFu3DhkZGUhKSmrazhARERE1A8yviMjRFE0dABGRPdx1112QyX6vs4eFhaFr167Vj+VyOYKCgpCTkwMAOHnyJH755Rf4+vrWOE9FRQV+/fVX5wRNRERE1IwxvyIiR2NRiohcglKprPFYkiSLz5nNZgCA2WxGz549sWHDhtvOFRIS4rhAiYiIiFoI5ldE5GgsShGRW+rRowc2b96M0NBQ+Pn5NXU4RERERC0e8ysishb3lCIit/TEE08gODgYI0eOxMGDB5Geno7k5GQ8//zzuHLlSlOHR0RERNTiML8iImuxKEVEbsnLywsHDhxAmzZtMHr0aHTu3Bnx8fEoLy/nX/aIiIiIbMD8ioisJQkhRFMHQURERERERERE7oUzpYiIiIiIiIiIyOlYlCIiIiIiIiIiIqdjUYqIiIiIiIiIiJyORSkiIiIiIiIiInI6FqWIiIiIiIiIiMjpWJQiIiIiIiIiIiKnY1GKiIiIiIiIiIicjkUpIiIiIiIiIiJyOhaliIiIiIiIiIjI6ViUIiIiIiIiIiIip2NRioiIiIiIiIiInI5FKSIiIiIiIiIicrr/B7+81/tNkmOTAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 1200x1000 with 6 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# ### Calculate expectation values, variances, and derivatives\n",
    "# Using mesolve to simulate time evolution\n",
    "result = qt.mesolve(H0, psi0, times, [])\n",
    "\n",
    "expect_vals = [np.real([qt.expect(op, state) for state in result.states]) for op in [x_op, p_op, H0]]\n",
    "variances = [np.real([qt.variance(op, state) for state in result.states]) for op in [x_op, p_op]]\n",
    "x_dot, p_dot = [np.gradient(vals, times[1] - times[0]) for vals in expect_vals[:2]]\n",
    "\n",
    "# ### Plotting results for expectation values, variances, and derivatives\n",
    "\n",
    "fig, axs = plt.subplots(3, 2, figsize=(12, 10))\n",
    "labels = [r\"$\\langle x \\rangle$\", r\"$\\langle p \\rangle$\", r\"$\\langle H \\rangle$\"]\n",
    "\n",
    "# Expectation values\n",
    "for i, vals in enumerate(expect_vals):\n",
    "    axs[i, 0].plot(times, vals, label=labels[i])\n",
    "    axs[i, 0].set_title(f\"Expectation Value {labels[i]}\")\n",
    "    axs[i, 0].set_xlabel(\"Time\")\n",
    "\n",
    "# Variances\n",
    "var_labels = [r\"$\\text{Var}(x)$\", r\"$\\text{Var}(p)$\"]\n",
    "for i, var in enumerate(variances):\n",
    "    axs[i, 1].plot(times, var, label=var_labels[i])\n",
    "    axs[i, 1].set_title(f\"Variance {var_labels[i]}\")\n",
    "    axs[i, 1].set_xlabel(\"Time\")\n",
    "\n",
    "# Time derivatives of expectation values\n",
    "axs[2, 1].plot(times, x_dot, label=r\"$\\frac{d}{dt}\\langle x \\rangle$\", color=\"tab:green\")\n",
    "axs[2, 1].plot(times, p_dot, label=r\"$\\frac{d}{dt}\\langle p \\rangle$\", color=\"tab:red\")\n",
    "axs[2, 1].set_title(\"Time Derivatives of Expectation Values\")\n",
    "axs[2, 1].set_xlabel(\"Time\")\n",
    "axs[2, 1].legend()\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "def evolve_QHO(N_HS, omega, state, times):\n",
    "\n",
    "    # ### Define operators for the quantum harmonic oscillator\n",
    "    a = qt.destroy(N_HS)  # Annihilation operator\n",
    "    id_op = qt.identity(N_HS)  # Identity operator\n",
    "\n",
    "    # Hamiltonian of the harmonic oscillator\n",
    "    H0 = omega * (a.dag() * a + 0.5 * id_op)\n",
    "    result = qt.mesolve(H0, state, times, [])\n",
    "    return result.states\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [],
   "source": [
    "from scipy.special import factorial, gammaln\n",
    "def osc_wf(x_zpf,n,x):\n",
    "    \"\"\"\n",
    "    Calculate the wavefunction in the position representation from the analytical solution.\n",
    "    \n",
    "    Parameters:\n",
    "    - x_zpf: float, position zero point fluctuation\n",
    "    - n: int, fock state number\n",
    "    - x: array, position grid points\n",
    "    \n",
    "    Returns:\n",
    "    - psi_x: array, the wavefunction in position representation \n",
    "    \"\"\"\n",
    "    H = hermite(n) # Hermite polynomial of degree n\n",
    "\n",
    "    if n <= 170:\n",
    "        return (np.sqrt(2*np.pi*x_zpf)* (2.**n) )**-.5 * H(x/(x_zpf*np.sqrt(2)))* np.math.factorial(n)**-.5 * np.exp(-x**2/(4*x_zpf**2))\n",
    "    else:\n",
    "        # # Scaled position\n",
    "        # xi = np.sqrt(2 * n + 1)* x/(x_zpf*np.sqrt(2))\n",
    "\n",
    "        # # Asymptotic expansion (valid for large n)\n",
    "        # H_asymptotic = np.exp(-xi**2 / 2) * (1 - xi**2 / (2 * n + 1))\n",
    "\n",
    "        sqrt_n_factorial =np.exp( gammaln(n + 1)/2)\n",
    "        return (np.sqrt(2*np.pi*x_zpf)* (2.**n) )**-.5 * H(x/(x_zpf*np.sqrt(2))) * np.exp(-x**2/(4*x_zpf**2)) / sqrt_n_factorial\n",
    "        # return (np.sqrt(2*np.pi*x_zpf)* (2.**n) )**-.5 * H_asymptotic * np.exp(-x**2/(4*x_zpf**2)) / sqrt_n_factorial\n",
    "\n",
    "def eigen_wf(x_zpf, x, state_vector):\n",
    "    \"\"\"\n",
    "    Calculate the wavefunction in the position representation from the analytical solution.\n",
    "    \n",
    "    Parameters:\n",
    "    - x_zpf: float, position zero point fluctuation\n",
    "    - state_vector: Qobj, quantum state in the Fock basis\n",
    "    - x: array, position grid points\n",
    "    \n",
    "    Returns:\n",
    "    - psi_x: array, the wavefunction in position representation \n",
    "    \"\"\"\n",
    "    # Initialize the wavefunction to 0\n",
    "    wf = np.zeros_like(x, dtype=complex)\n",
    "    \n",
    "    for n, coeff in enumerate(state_vector):\n",
    "        wf += coeff[0] * osc_wf(x_zpf,n,x) # add the n fock state component to the total wavefunction\n",
    "    return wf\n",
    "\n",
    "def eigen_wf_p_representation(psi_x, x_values, hbar=1.0):\n",
    "    \"\"\"\n",
    "    Calculate the wavefunction in the momentum representation from the position representation.\n",
    "    \n",
    "    Parameters:\n",
    "    - psi_x: array, the wavefunction in position representation \n",
    "    - x_values: array, the x grid points where psi_x is defined\n",
    "    - hbar: float, reduced Planck's constant (default is 1 for convenience)\n",
    "    \n",
    "    Returns:\n",
    "    - p_values: array, the momentum grid points\n",
    "    - psi_p: array, the wavefunction in momentum representation \n",
    "    \"\"\"\n",
    "    # Calculate spacing in x space\n",
    "    dx = x_values[1] - x_values[0]\n",
    "    N = len(x_values)\n",
    "    \n",
    "    # Calculate the momentum grid values\n",
    "    p_values = np.fft.fftfreq(N, d=dx) * 2 * np.pi * hbar\n",
    "\n",
    "    # Fourier transform and scaling factor\n",
    "    psi_p = np.fft.fft(psi_x) * dx / np.sqrt(2 * np.pi * hbar)\n",
    "    \n",
    "    # Re-order the FFT output and corresponding p values to match increasing p order\n",
    "    p_values = np.fft.fftshift(p_values)\n",
    "    psi_p = np.fft.fftshift(psi_p)\n",
    "\n",
    "    return p_values, psi_p\n",
    "\n",
    "def classical_tp_abs(omega,m,n,hbar):\n",
    "    \"\"\"\n",
    "    Calculate the classical turning point.\n",
    "    \"\"\"\n",
    "    return np.sqrt(2*hbar/ (omega*m) * (n + .5))\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Exploring Quantum States in QuTiP\n",
    "\n",
    "Quantum states form the foundation of quantum mechanics, and understanding their properties is essential for studying quantum systems. In this notebook, we will explore some important types of quantum states using QuTiP, focusing on **Fock states**, **coherent states**, and **squeezed states**.\n",
    "\n",
    "### Fock States\n",
    "\n",
    "Fock states, also known as **number states**, are eigenstates of the quantum harmonic oscillator and form a convenient basis for representing quantum states. They are defined as states with a definite number of quanta, making them ideal for theoretical analysis.\n",
    "\n",
    "### Coherent States\n",
    "\n",
    "**Coherent states** are a special class of quantum states that exhibit classical-like behavior. A coherent state, denoted as $ |\\alpha\\rangle $, is defined as:\n",
    "$$\n",
    "|\\alpha\\rangle = e^{-\\frac{|\\alpha|^2}{2}} \\sum_{n=0}^\\infty \\frac{\\alpha^n}{\\sqrt{n!}} |n\\rangle\n",
    "$$\n",
    "where  $\\alpha$ is a complex number representing the amplitude of the state.\n",
    "\n",
    "Coherent states are remarkable because they **minimize the uncertainty in position $<X>$ and momentum $<P>$**, satisfying the Heisenberg uncertainty principle with equality. Moreover, they distribute the uncertainty equally between the X and P quadratures. \n",
    "\n",
    "Another intriguing property of coherent states is that their **expectation values for $<X>$ and $<P>$ evolve in time like their classical counterparts**, providing an example of the **correspondence principle** between quantum and classical mechanics.\n",
    "\n",
    "These states can be generated from the vacuum state $ |0\\rangle $ using the **displacement operator**:\n",
    "$$\n",
    "D(\\alpha) = e^{\\alpha a^\\dagger - \\alpha^* a}\n",
    "$$\n",
    "where $ a $ and $a^\\dagger$ are the annihilation and creation operators.\n",
    "\n",
    "### Squeezed States\n",
    "\n",
    "While coherent states minimize the uncertainty equally between the $<X>$ and $<P>$ quadratures, it is possible to redistribute the uncertainty asymmetrically while still satisfying the uncertainty principle. This is achieved using **squeezed states**.\n",
    "\n",
    "A **squeezed state** can be thought of as a coherent state where the uncertainty in one quadrature (e.g., \\(X\\)) is reduced (squeezed), making the wavefunction narrower and the peak sharper. However, this comes at the cost of increasing the uncertainty in the other quadrature (e.g., \\(P\\)), ensuring the uncertainty principle still holds.\n",
    "\n",
    "Squeezed states are generated by applying the **squeezing operator** to a quantum state:\n",
    "$$\n",
    "S(r) = e^{\\frac{1}{2} r (a^2 - {a^\\dagger}^2)}\n",
    "$$\n",
    "where $ r $ is the squeezing parameter that controls the amount of squeezing. To obtain a gaussian wavefunction with a different width $x_s$ in the x-representation, we can apply the squeezing operator with $r=ln(x_0/x_s)$ to the ground state $ |0\\rangle $\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\tahab\\AppData\\Local\\Temp\\ipykernel_20908\\379666114.py:17: DeprecationWarning: `np.math` is a deprecated alias for the standard library `math` module (Deprecated Numpy 1.25). Replace usages of `np.math` with `math`\n",
      "  return (np.sqrt(2*np.pi*x_zpf)* (2.**n) )**-.5 * H(x/(x_zpf*np.sqrt(2)))* np.math.factorial(n)**-.5 * np.exp(-x**2/(4*x_zpf**2))\n",
      "No artists with labels found to put in legend.  Note that artists whose label start with an underscore are ignored when legend() is called with no argument.\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x_values = np.linspace(-10, 10, 1001)\n",
    "N_HS = 30\n",
    "n_fock = 2\n",
    "state = qt.basis(N_HS,n_fock)\n",
    "psi_x = eigen_wf(x_0, x_values, state)\n",
    "\n",
    "plt.figure(figsize=(12, 5))\n",
    "\n",
    "# Position representation\n",
    "plt.subplot(1, 2, 1)\n",
    "plt.plot(x_values, psi_x)\n",
    "plt.xlabel(\"x\")\n",
    "plt.ylabel(r\"$\\psi(x)$\")\n",
    "plt.title(\"Position Representation\")\n",
    "plt.legend()\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()\n",
    "\n",
    "\n",
    "prob_x = np.abs(psi_x)**2\n",
    "\n",
    "# ### Plot probability densities in position and momentum spaces\n",
    "\n",
    "plt.figure(figsize=(12, 5))\n",
    "\n",
    "# Position representation\n",
    "plt.subplot(1, 2, 1)\n",
    "plt.plot(x_values, prob_x, label=r\"$|\\psi(x)|^2$\")\n",
    "plt.vlines([classical_tp_abs(omega,m,n_fock,1),-classical_tp_abs(omega,m,n_fock,1)],ymin=-0.01,ymax=1.05*max(prob_x),linestyles='dashed',colors='black')\n",
    "plt.xlabel(\"x\")\n",
    "plt.ylabel(r\"$|\\psi(x)|^2$\")\n",
    "plt.title(\"Position Representation\")\n",
    "plt.legend()\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\tahab\\AppData\\Local\\Temp\\ipykernel_20908\\379666114.py:17: DeprecationWarning: `np.math` is a deprecated alias for the standard library `math` module (Deprecated Numpy 1.25). Replace usages of `np.math` with `math`\n",
      "  return (np.sqrt(2*np.pi*x_zpf)* (2.**n) )**-.5 * H(x/(x_zpf*np.sqrt(2)))* np.math.factorial(n)**-.5 * np.exp(-x**2/(4*x_zpf**2))\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x_values = np.linspace(-10, 10, 1001)\n",
    "N_HS = 30\n",
    "alpha = 2\n",
    "state = qt.coherent(N_HS,alpha)\n",
    "psi_x = eigen_wf(x_0, x_values, state)\n",
    "\n",
    "plt.figure(figsize=(12, 5))\n",
    "\n",
    "# Position representation\n",
    "plt.subplot(1, 2, 1)\n",
    "plt.plot(x_values, psi_x, label=r\"$|\\psi(x)|^2$\")\n",
    "plt.xlabel(\"x\")\n",
    "plt.ylabel(r\"$\\psi(x)$\")\n",
    "plt.title(\"Position Representation\")\n",
    "plt.legend()\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In the case of squeezed states you see that there is an impact due to the dimensionality of our system, we can plot the real expected ground state with a given variance and the squeezed state which represent the same quantum state, but in one case we see oscillations which shouldn't exist. This comes from the way we are using these states: in the second case, we act 'physically' on the ground state by squeezing it, meaning that the change of variance in x doesn't come from a renormalization but by the act of literally constraining and squeezing the oscillator around x=0. This is relevant because the basis we use in qutip (fock Basis) is describing fock states with actually width of x_0 as we defined our Hamiltonian using this parameter. Moreover, in order to use the time evolution built in qutip, we need the correct physical state, thus we use here the second case to obtain the 'correct' behaviour provided numerical errors. To represent efficiently and accurately the time evolution of the squeezed vacuum, we can use the Schrodinger equation to solve numerically for the time dependence. We sill stick here with qutip."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Squeezed States and Dimensionality Effects in Simulations\n",
    "\n",
    "In the case of squeezed states, the dimensionality of our Hilbert space impacts how these states are represented. We can compare two representations of the squeezed ground state:\n",
    "\n",
    "1. **Mathematical Construction:** This approach directly creates a squeezed state with the expected variance. However, it doesn't build a quantum object we can use for qutip manipulation.\n",
    "2. **Physical Construction:** This method applies the squeezing operator directly to the vacuum state. Here, the change in variance of \\( x \\) results not from a renormalization factor but from the physical action of squeezing the oscillator around \\( x=0 \\). Nonetheless, this method is subject to numrical errors as numerical errors rise with higher number states required to represent the squeezed state this way.\n",
    "\n",
    "This distinction arises from how these states are constructed and used. The second approach more accurately reflects the physical process of squeezing, aligning with how variance changes in a real quantum system.\n",
    "\n",
    "This is particularly relevant because the Fock basis used in QuTiP describes quantum harmonic oscillator states, where the width is characterized by \\( x_0 \\) (the position uncertainty of the ground state as defined in our Hamiltonian). To ensure physically meaningful results, especially when using QuTiP's built-in time evolution solvers, it is crucial to start with the correctly constructed physical state.\n",
    "\n",
    "Here, we use the physically squeezed vacuum state to achieve correct behavior using qutip, subject to numerical errors. To accurately represent the time evolution of the squeezed vacuum state, we can use the Schrödinger equation for the wavefunction in x-representation, and solve numerically using differential methods.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\tahab\\AppData\\Local\\Temp\\ipykernel_20908\\379666114.py:17: DeprecationWarning: `np.math` is a deprecated alias for the standard library `math` module (Deprecated Numpy 1.25). Replace usages of `np.math` with `math`\n",
      "  return (np.sqrt(2*np.pi*x_zpf)* (2.**n) )**-.5 * H(x/(x_zpf*np.sqrt(2)))* np.math.factorial(n)**-.5 * np.exp(-x**2/(4*x_zpf**2))\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[-10.    -9.98  -9.96 ...   9.96   9.98  10.  ]\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "## Mathematical representation of the squeezed vacuum\n",
    "x_values = np.linspace(-10, 10, 1001)\n",
    "N_HS = 100\n",
    "x0_over_xs = 10\n",
    "state = qt.basis(N_HS,0)\n",
    "psi_x = eigen_wf(x_0/x0_over_xs, x_values, state)\n",
    "\n",
    "plt.figure(figsize=(12, 5))\n",
    "\n",
    "# Position representation\n",
    "plt.subplot(1, 2, 1)\n",
    "print(x_values)\n",
    "plt.plot(x_values, psi_x, label=r\"$|\\psi(x)|^2$\")\n",
    "plt.xlabel(\"x\")\n",
    "plt.ylabel(r\"$\\psi(x)$\")\n",
    "plt.title(\"Position Representation\")\n",
    "plt.legend()\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()\n",
    "\n",
    "## Real representation of the squeezed vacuum in qutip\n",
    "x_values = np.linspace(-10, 10, 1001)\n",
    "N_HS = 250\n",
    "x0_over_xs = 10\n",
    "r= np.log(x0_over_xs)\n",
    "state = qt.squeeze(N_HS,r)*qt.basis(N_HS,0)\n",
    "psi_x = eigen_wf(x_0, x_values, state)\n",
    "\n",
    "plt.figure(figsize=(12, 5))\n",
    "\n",
    "# Position representation\n",
    "plt.subplot(1, 2, 1)\n",
    "plt.plot(x_values, psi_x, label=r\"$|\\psi(x)|^2$\")\n",
    "plt.xlabel(\"x\")\n",
    "plt.ylabel(r\"$\\psi(x)$\")\n",
    "plt.title(\"Position Representation\")\n",
    "plt.legend()\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "c:\\Users\\tahab\\anaconda3\\envs\\q_cupy\\lib\\site-packages\\scipy\\sparse\\_base.py:1034: SparseEfficiencyWarning: Constructing a DIA matrix with 249 diagonals is inefficient\n",
      "  return self.tocoo(copy=copy).todia(copy=False)\n",
      "C:\\Users\\tahab\\AppData\\Local\\Temp\\ipykernel_20908\\379666114.py:17: DeprecationWarning: `np.math` is a deprecated alias for the standard library `math` module (Deprecated Numpy 1.25). Replace usages of `np.math` with `math`\n",
      "  return (np.sqrt(2*np.pi*x_zpf)* (2.**n) )**-.5 * H(x/(x_zpf*np.sqrt(2)))* np.math.factorial(n)**-.5 * np.exp(-x**2/(4*x_zpf**2))\n",
      "C:\\Users\\tahab\\AppData\\Local\\Temp\\ipykernel_20908\\379666114.py:17: DeprecationWarning: `np.math` is a deprecated alias for the standard library `math` module (Deprecated Numpy 1.25). Replace usages of `np.math` with `math`\n",
      "  return (np.sqrt(2*np.pi*x_zpf)* (2.**n) )**-.5 * H(x/(x_zpf*np.sqrt(2)))* np.math.factorial(n)**-.5 * np.exp(-x**2/(4*x_zpf**2))\n",
      "c:\\Users\\tahab\\anaconda3\\envs\\q_cupy\\lib\\site-packages\\scipy\\special\\_orthogonal.py:1340: RuntimeWarning: overflow encountered in multiply\n",
      "  hn = 2**n * _gam(n + 1) * sqrt(pi)\n"
     ]
    },
    {
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       "    for (var i = 0; i < button_group.length; i++) {\n",
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       "            return button.value;\n",
       "        }\n",
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       "  }\n",
       "\n",
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       "    this.current_frame = frame;\n",
       "    document.getElementById(this.img_id).src =\n",
       "            this.frames[this.current_frame].src;\n",
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       "\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_img4f114f4ba089466e9a89fcd6d22ea27e\">\n",
       "  <div class=\"anim-controls\">\n",
       "    <input id=\"_anim_slider4f114f4ba089466e9a89fcd6d22ea27e\" type=\"range\" class=\"anim-slider\"\n",
       "           name=\"points\" min=\"0\" max=\"1\" step=\"1\" value=\"0\"\n",
       "           oninput=\"anim4f114f4ba089466e9a89fcd6d22ea27e.set_frame(parseInt(this.value));\">\n",
       "    <div class=\"anim-buttons\">\n",
       "      <button title=\"Decrease speed\" aria-label=\"Decrease speed\" onclick=\"anim4f114f4ba089466e9a89fcd6d22ea27e.slower()\">\n",
       "          <i class=\"fa fa-minus\"></i></button>\n",
       "      <button title=\"First frame\" aria-label=\"First frame\" onclick=\"anim4f114f4ba089466e9a89fcd6d22ea27e.first_frame()\">\n",
       "        <i class=\"fa fa-fast-backward\"></i></button>\n",
       "      <button title=\"Previous frame\" aria-label=\"Previous frame\" onclick=\"anim4f114f4ba089466e9a89fcd6d22ea27e.previous_frame()\">\n",
       "          <i class=\"fa fa-step-backward\"></i></button>\n",
       "      <button title=\"Play backwards\" aria-label=\"Play backwards\" onclick=\"anim4f114f4ba089466e9a89fcd6d22ea27e.reverse_animation()\">\n",
       "          <i class=\"fa fa-play fa-flip-horizontal\"></i></button>\n",
       "      <button title=\"Pause\" aria-label=\"Pause\" onclick=\"anim4f114f4ba089466e9a89fcd6d22ea27e.pause_animation()\">\n",
       "          <i class=\"fa fa-pause\"></i></button>\n",
       "      <button title=\"Play\" aria-label=\"Play\" onclick=\"anim4f114f4ba089466e9a89fcd6d22ea27e.play_animation()\">\n",
       "          <i class=\"fa fa-play\"></i></button>\n",
       "      <button title=\"Next frame\" aria-label=\"Next frame\" onclick=\"anim4f114f4ba089466e9a89fcd6d22ea27e.next_frame()\">\n",
       "          <i class=\"fa fa-step-forward\"></i></button>\n",
       "      <button title=\"Last frame\" aria-label=\"Last frame\" onclick=\"anim4f114f4ba089466e9a89fcd6d22ea27e.last_frame()\">\n",
       "          <i class=\"fa fa-fast-forward\"></i></button>\n",
       "      <button title=\"Increase speed\" aria-label=\"Increase speed\" onclick=\"anim4f114f4ba089466e9a89fcd6d22ea27e.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_select4f114f4ba089466e9a89fcd6d22ea27e\"\n",
       "          class=\"anim-state\">\n",
       "      <input type=\"radio\" name=\"state\" value=\"once\" id=\"_anim_radio1_4f114f4ba089466e9a89fcd6d22ea27e\"\n",
       "             >\n",
       "      <label for=\"_anim_radio1_4f114f4ba089466e9a89fcd6d22ea27e\">Once</label>\n",
       "      <input type=\"radio\" name=\"state\" value=\"loop\" id=\"_anim_radio2_4f114f4ba089466e9a89fcd6d22ea27e\"\n",
       "             checked>\n",
       "      <label for=\"_anim_radio2_4f114f4ba089466e9a89fcd6d22ea27e\">Loop</label>\n",
       "      <input type=\"radio\" name=\"state\" value=\"reflect\" id=\"_anim_radio3_4f114f4ba089466e9a89fcd6d22ea27e\"\n",
       "             >\n",
       "      <label for=\"_anim_radio3_4f114f4ba089466e9a89fcd6d22ea27e\">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_img4f114f4ba089466e9a89fcd6d22ea27e\";\n",
       "    var slider_id = \"_anim_slider4f114f4ba089466e9a89fcd6d22ea27e\";\n",
       "    var loop_select_id = \"_anim_loop_select4f114f4ba089466e9a89fcd6d22ea27e\";\n",
       "    var frames = new Array(200);\n",
       "    \n",
       "  frames[0] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAA+gAAAJYCAYAAADxHswlAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90\\\n",
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       "OXNm5prDyfKez3U+l8sYYwQAAAAAAGwVZfcAAAAAAAAAAR0AAAAAAEcgoAMAAAAA4AAEdAAAAAAA\\\n",
       "HICADgAAAACAAxDQAQAAAABwAAI6AAAAAAAOQEAHAAAAAMABCOgAAAAAADgAAR0AAAAAAAcgoAMA\\\n",
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       "AMABCOgAAAAAADgAAR0AAAAAAAcgoAMAAAAA4AAEdAAAAAAAHICADgAAAACAAxDQAQAAAABwAAI6\\\n",
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       "9e3bV1u3btXGjRsVFhZmdVkAADR5BHQAAJqYM2fOqEePHjpw4IC++uor9ezZ0+qSAACAuAYdAIAm\\\n",
       "Z8+ePTp8+LBKS0u1f/9+q8sBAABn0YIOAEATUlhYqMsvv1y9e/dWt27d9Oyzz+qbb75RXFyc1aUB\\\n",
       "ANDkEdABAGhCHnjgAb3//vvaunWrmjdvrmHDhikyMlIff/yx1aUBANDk0cUdAIAmYsWKFZo3b57+\\\n",
       "8Y9/qEWLFgoICNA//vEPrVmzRi+99JLV5QEA0OTRgg4AAAAAgA3Qgg4AAAAAgA0Q0AEAAAAAsAEC\\\n",
       "OgAAAAAANkBABwAAAADABgjoAAAAAADYAAEdAAAAAAAbIKADAAAAAGADBHQAAAAAAGyAgA4AAAAA\\\n",
       "gA0Q0AEAAAAAsAECOgAAAAAANkBABwAAAADABgjoAAAAAADYAAEdAAAAAAAbIKADAAAAAGADBHQA\\\n",
       "AAAAAGyAgA4AAAAAgA0Q0AEAAAAAsAECOgAAAAAANkBABwAAAADABgjoAAAAAADYAAEdAAAAAAAb\\\n",
       "IKADAAAAAGADBHQAAAAAAGyAgA4AAAAAgA38f4MjRkQfCp1KAAAAAElFTkSuQmCC\\\n",
       "\"\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",
       "        anim4f114f4ba089466e9a89fcd6d22ea27e = 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>"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# For question 37, do a = x_0 / 2, x_0 / 5, x_0 / 10 instead of x_0 / 2, x_0 / 10, x_0/100\n",
    "x_values = np.linspace(-10, 10, 1001)\n",
    "N_HS = 250\n",
    "x0_over_xs = 2\n",
    "r= np.log(x0_over_xs)\n",
    "state = qt.squeeze(N_HS,r)*qt.basis(N_HS,0)\n",
    "\n",
    "states_vs_time = evolve_QHO(N_HS, omega, state, times=np.linspace(0,10,300))\n",
    "\n",
    "# Set up figure for the animation of probability density\n",
    "fig, ax = plt.subplots(figsize=(10, 6))\n",
    "line, = ax.plot(x_values, np.abs(eigen_wf(x_0, x_values, states_vs_time[0]))**2, lw=2)\n",
    "ax.set_ylim(0, 1)\n",
    "ax.set_xlabel(\"x\")\n",
    "ax.set_ylabel(r\"$|\\psi(x, t)|^2$\")\n",
    "ax.set_title(\"Probability Density $|\\psi(x, t)|^2$ of Quantum Harmonic Oscillator\")\n",
    "\n",
    "# Animation function to update the probability density\n",
    "def animate(i):\n",
    "    psi_t = states_vs_time[i]  # Get state at time step i\n",
    "    line.set_ydata(np.abs(eigen_wf(x_0, x_values, psi_t))**2)\n",
    "    return line,\n",
    "\n",
    "from IPython.display import HTML\n",
    "from matplotlib.animation import FuncAnimation, PillowWriter\n",
    "\n",
    "# Run and display the animation in the notebook\n",
    "ani = FuncAnimation(fig, animate, frames=len(times), interval=100, blit=True)\n",
    "# ani.save(\"quantum_oscillator.mp4\", writer=\"ffmpeg\")\n",
    "HTML(ani.to_jshtml())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\tahab\\AppData\\Local\\Temp\\ipykernel_20908\\379666114.py:17: DeprecationWarning: `np.math` is a deprecated alias for the standard library `math` module (Deprecated Numpy 1.25). Replace usages of `np.math` with `math`\n",
      "  return (np.sqrt(2*np.pi*x_zpf)* (2.**n) )**-.5 * H(x/(x_zpf*np.sqrt(2)))* np.math.factorial(n)**-.5 * np.exp(-x**2/(4*x_zpf**2))\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def harmonic_potential(x, omega, m=1):\n",
    "    \"\"\"\n",
    "    Harmonic oscillator potential function.\n",
    "    V(x) = 0.5 * m * omega^2 * x^2\n",
    "    \"\"\"\n",
    "    return 0.5 * m * omega**2 * x**2\n",
    "\n",
    "def plot_harmonic_oscillator_wavefunctions(x_0=np.sqrt(2)**-1, n_states=[5], omega=1.0, x_values=np.linspace(-8,8,100)):\n",
    "    \"\"\"\n",
    "    Plots the harmonic oscillator potential and the first n_states wavefunctions.\n",
    "    \n",
    "    Parameters:\n",
    "    - n_states: int, number of wavefunctions to plot\n",
    "    - omega: float, oscillator frequency\n",
    "    - x_min, x_max: float, range for x values in the plot\n",
    "    - num_points: int, number of points to calculate for x\n",
    "    \"\"\"\n",
    "    # Calculate the potential\n",
    "    potential = harmonic_potential(x_values, omega)\n",
    "    \n",
    "    # Initialize the plot\n",
    "    plt.figure(figsize=(10, 6))\n",
    "    \n",
    "    # Plot the potential\n",
    "    plt.plot(x_values, potential, label=\"Harmonic Potential $V(x)$\", color='black', linestyle=\"-\")\n",
    "    \n",
    "    # Plot each wavefunction, scaling it to fit with the potential for visibility\n",
    "    for n in n_states:\n",
    "        psi_n = osc_wf(x_0,n,x_values)\n",
    "        \n",
    "        # Scale and shift wavefunction plot for better visibility\n",
    "        plt.plot(x_values, psi_n**2 + (n+.5) * omega, label=\"$|\\psi_{%i}(x)|^2$\"%(n))\n",
    "\n",
    "        plt.hlines((n+.5) * omega, xmin=min(x_values), xmax=max(x_values), linestyles='dashed', colors='black')\n",
    "    \n",
    "    # Customize plot\n",
    "    plt.xlabel(\"Position $x$\")\n",
    "    plt.ylabel(\"Energy and $|\\psi_n(x)|^2$\")\n",
    "    plt.title(f\"Harmonic Oscillator Potential and {n_states} Wavefunctions\")\n",
    "    minval = -0.01 if n_states[0]<5 else 0.99*(n_states[0]+.5) * omega\n",
    "    plt.ylim([minval,1.01*max(psi_n**2+ (n+.5) * omega)])\n",
    "    plt.legend()\n",
    "    plt.grid()\n",
    "    plt.show()\n",
    "\n",
    "\n",
    "# Example: Plot the first wavefunctions of the harmonic oscillator with ω = 1.0\n",
    "plot_harmonic_oscillator_wavefunctions(n_states=[0,1,4,7,10], omega=1.0, x_values=np.linspace(-20,20,1000))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [],
   "source": [
    "\n",
    "def find_extrema_distances_array(f_values, x_values, num_extrema=10, tolerance=None):\n",
    "    \"\"\"\n",
    "    Find the positions of the extrema and distances between consecutive extrema.\n",
    "    \n",
    "    Parameters:\n",
    "    - f_values: array-like, values of the function at points x_values\n",
    "    - x_values: array-like, the x-values at which f_values are given\n",
    "    - num_extrema: int, the maximum number of extrema to consider\n",
    "    - tolerance: float, the minimum separation between extrema (in x units).\n",
    "                 If None, defaults to 1.5 times the x spacing.\n",
    "    \n",
    "    Returns:\n",
    "    - extrema_positions: list, x-positions of the extrema\n",
    "    - extrema_distances: list, distances between consecutive extrema\n",
    "    \"\"\"\n",
    "    # Set default tolerance based on x_values step size if not provided\n",
    "    if tolerance is None:\n",
    "        tolerance = 1.5 * (x_values[1] - x_values[0])\n",
    "\n",
    "    # Find where the derivative changes sign to locate extrema\n",
    "    derivative = np.diff(f_values)\n",
    "    sign_changes = np.where(np.diff(np.sign(derivative)))[0] + 1  # +1 for alignment with x_values indexing\n",
    "\n",
    "    # Initialize lists to store extrema positions and filter duplicates\n",
    "    extrema_positions = []\n",
    "    last_extremum = None\n",
    "\n",
    "    for idx in sign_changes:\n",
    "        x_extremum = x_values[idx]\n",
    "        \n",
    "        # Filter based on tolerance to avoid close duplicate extrema\n",
    "        if last_extremum is None or abs(x_extremum - last_extremum) > tolerance:\n",
    "            extrema_positions.append(x_extremum)\n",
    "            last_extremum = x_extremum\n",
    "        \n",
    "        # Stop if we've collected the desired number of extrema\n",
    "        if len(extrema_positions) >= num_extrema:\n",
    "            break\n",
    "\n",
    "    # Calculate distances between consecutive extrema\n",
    "    extrema_distances = np.diff(extrema_positions)\n",
    "\n",
    "    return extrema_positions, extrema_distances\n",
    "\n",
    "def find_wavelength(list):\n",
    "    \"\"\"\n",
    "    Find the distance between extrema i and extrema i+2 around x=0\n",
    "    \n",
    "    Parameters:\n",
    "    - list: list, distances between consecutive extrema\n",
    "    Returns:\n",
    "    - wavelength: float, wavefunction de Broglie wavelength\n",
    "\n",
    "    \"\"\"\n",
    "    length = len(list)  \n",
    "\n",
    "    first_middle_index = length // 2 \n",
    "    second_middle_index = length // 2 - 1 \n",
    "\n",
    "    wavelength = list[first_middle_index] + list[second_middle_index]\n",
    "\n",
    "    return wavelength\n",
    "\n",
    "\n",
    "def DeBroglie_wavelength(n_array, x_0, x_values):\n",
    "    DeBroglie_wavelength_vs_n = []\n",
    "    for n in n_array:\n",
    "        psi_n = osc_wf(x_0, n ,x_values)\n",
    "        _ , extrema_distances = find_extrema_distances_array(psi_n, x_values, num_extrema = n)\n",
    "        DeBroglie_wavelength_vs_n.append(find_wavelength(extrema_distances))\n",
    "\n",
    "    return DeBroglie_wavelength_vs_n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\tahab\\AppData\\Local\\Temp\\ipykernel_20908\\379666114.py:17: DeprecationWarning: `np.math` is a deprecated alias for the standard library `math` module (Deprecated Numpy 1.25). Replace usages of `np.math` with `math`\n",
      "  return (np.sqrt(2*np.pi*x_zpf)* (2.**n) )**-.5 * H(x/(x_zpf*np.sqrt(2)))* np.math.factorial(n)**-.5 * np.exp(-x**2/(4*x_zpf**2))\n"
     ]
    }
   ],
   "source": [
    "# Find the extrema of the amplitude and distances between them\n",
    "psi_n = osc_wf(x_0, 2, x_values)\n",
    "extrema_positions, extrema_distances = find_extrema_distances_array(psi_n, x_values, num_extrema=10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\tahab\\AppData\\Local\\Temp\\ipykernel_20908\\379666114.py:17: DeprecationWarning: `np.math` is a deprecated alias for the standard library `math` module (Deprecated Numpy 1.25). Replace usages of `np.math` with `math`\n",
      "  return (np.sqrt(2*np.pi*x_zpf)* (2.**n) )**-.5 * H(x/(x_zpf*np.sqrt(2)))* np.math.factorial(n)**-.5 * np.exp(-x**2/(4*x_zpf**2))\n",
      "No artists with labels found to put in legend.  Note that artists whose label start with an underscore are ignored when legend() is called with no argument.\n"
     ]
    },
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "slope: 4.528496202101158\n",
      "theoretical slope: 4.442882938158366\n"
     ]
    }
   ],
   "source": [
    "n_values = [2, 3, 5, 8, 11, 15, 20, 25, 30, 50, 100]\n",
    "\n",
    "l_approx = DeBroglie_wavelength(n_values, x_0, x_values)\n",
    "\n",
    "plt.figure(figsize=(10, 6))\n",
    "plt.scatter(np.asarray(n_values)**-.5, l_approx, color='black', linestyle=\"-\")\n",
    "\n",
    "# Customize plot\n",
    "plt.xlabel(\" $1 / \\sqrt{n}$\")\n",
    "plt.ylabel(\"Approx. wavelength $\\lambda$\")\n",
    "# plt.title(f\"Harmonic Oscillator Potential and {n_states} Wavefunctions\")\n",
    "plt.legend()\n",
    "plt.grid()\n",
    "plt.show()\n",
    "\n",
    "# Perform the linear fit\n",
    "slope, _= np.polyfit(np.asarray(n_values)**-.5, l_approx, 1)\n",
    "\n",
    "print(\"slope:\",slope)\n",
    "print(\"theoretical slope:\", 2*np.pi*x_0)\n"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "ML_Laboneq",
   "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": "3.9.19"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}