{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "2c8fc009",
   "metadata": {},
   "source": [
    "# Calculating \\\\(\\pi \\\\) using a Monte Carlo algorithm\n",
    "\n",
    "- Börge Göbel"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "1b276d72",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt \n",
    "import matplotlib.patches as patches"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "a9c43ef1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(-1.1, 1.1)"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "ax = fig.add_subplot(111, aspect='equal')\n",
    "\n",
    "rectangle = patches.Rectangle((-1,-1),2,2, facecolor='red')\n",
    "ax.add_patch(rectangle)\n",
    "\n",
    "circle = patches.Circle((0,0),1, facecolor='none', edgecolor='blue')\n",
    "ax.add_patch(circle)\n",
    "\n",
    "plt.xlim([-1.1,1.1])\n",
    "plt.ylim([-1.1,1.1])"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6d65aeb8",
   "metadata": {},
   "source": [
    "## Comparing the areas\n",
    "\n",
    "Area of the circle: \\\\( A_\\mathrm{circle} = \\pi r^2 = \\pi\\\\)\n",
    "\n",
    "Area of the square: \\\\( A_\\mathrm{square} = a^2 = 4 \\\\)\n",
    "\n",
    "This means \\\\( \\pi = 4\\frac{A_\\mathrm{circle}}{A_\\mathrm{square}}\\\\). We can use this ratio to estimate the value of \\\\( \\pi \\\\). "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3f6b7efc",
   "metadata": {},
   "source": [
    "### Measure the area ratio by counting randomly generated points"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "id": "1e6566a8",
   "metadata": {},
   "outputs": [],
   "source": [
    "points = 100000\n",
    "\n",
    "rand = 2*np.random.rand( 2*points) -1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "id": "a69c5138",
   "metadata": {},
   "outputs": [],
   "source": [
    "randpoints = rand.reshape( points,2 )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "id": "041ac929",
   "metadata": {},
   "outputs": [],
   "source": [
    "normpoints = randpoints[:,0]**2 + randpoints[:,1]**2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "id": "1811ae33",
   "metadata": {},
   "outputs": [],
   "source": [
    "pointsOut = randpoints[normpoints > 1]\n",
    "pointsIn = randpoints[normpoints <= 1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "id": "5b22d194",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "3.14032\n"
     ]
    }
   ],
   "source": [
    "piapprox = 4 * len(pointsIn)/points\n",
    "print(piapprox)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "id": "8a0680a1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "-0.0012726535897931157"
      ]
     },
     "execution_count": 55,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "piapprox - np.pi"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "id": "a1b76bd7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x17f5d846f10>"
      ]
     },
     "execution_count": 56,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAQ0AAAD4CAYAAAD2OrMWAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjQuMywgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/MnkTPAAAACXBIWXMAAAsTAAALEwEAmpwYAAEAAElEQVR4nOy9d3xc5bX3+93T+6iNRl1y73JRc8UFUwwkISckgZyQEHqN6dWm2QZMCS1AgBBIOKTnTejVuMqybLn3pt5G0kij6X3fP5Yl5eSSk+SQ+5735vXjz3ys2X32Ws/vWX0pqqpyepwep8fp8fcOzf/0A5wep8fp8f+vcRo0To/T4/T4h8Zp0Dg9To/T4x8ap0Hj9Dg9To9/aJwGjdPj9Dg9/qGh+59+gP/OyMnJUcvKyv6nH+P0OD3+ZcfOnTv7VFV1fdG+/1+CRllZGQ0NDf/Tj3F6nB7/skNRlJa/tu+0enJ6nB6nxz80ToPG6XF6nB7/0DgNGqfH6XF6/EPjNGicHqfH6fEPjdOgcXqcHqfHPzT+KaChKMrPFEXpURTlwF/ZryiK8pyiKCcURdmnKMqsP9t3rqIoR0/tu/uf8Tynx+lxevx/N/5ZksYbwLn/xf5lwLhTn6uBlwAURdECL5zaPxm4RFGUyf+kZzo9To/T4/+D8U+J01BVdZOiKGX/xSFfA36hSh7+NkVRMhRFyQfKgBOqqjYCKIry61PHHvpnPBcAx47B+PEQCMgnGBz5brfLMUN/d3aO7AfYtQtmzfrPxwyNoev9+Ta7/YuvGwh88f4vui7IcwAUFHzxfYau9Zfn2O1f/JsKCka2/bVn/fPj/vzYP7/eX37/s9+mqvLniX4FJWmjy9dLpslFl6+PDGMOWi3E02G0OhV9PEym20XK1M00lxWN5i+uGwiM/Pa/dv+//I1Dv/3Pf+Nfvqu/pMMX7evqApvtP7+zL/rNf43Gf3nOX9LpL9/v0G+Fv06Doev8JY3/8jp/fs8/f49/uf9Ljv9dwV2FQNuffW8/te2Lttd80QUURbkakVIoKSn5++66axecey68+Sb84Q+wbp2Awk9+Am+/Dc8/D8ePw2OPwYUXwtq10NYm+8Jh2fbJJ+B2w89+BpdfLgy1fz/88pewdy+MHg05ORAKwQMPwLPPwvLlcv9HHoErroDXXpPvX/sa/OIXsHKlXOfgQXmmyy+HvDwh8Mcfw733yix89FE5t74ezjkH4nE5b2BA7mWzCSMcPw7f/a4A3P33/+d733QT/Pa3su2ll+RcvR6uuw7+4z/g2muhqQnuuQd++lN5jqHz+/vhySdRu7ppf+o3HAsV0rjom3R7dPR+dohW9zR6d/XiCWfQFXYCoM/xkZ2RpivsoThTS1eonbE5OhS0tA94IKnB1hcllW2kw2NAiZjJNQfIGRultFBLfvMe8gYOUvitBeQ0bmbsVedSVNxP5hNPgcUC3/sejBkjdHzySbj0Urj+eqiogB/+EJ57DgwG2a8oQsdbb5VzHnwQYjGhz3PPjbyHUEi+Kwp89hlkZcHrr8OMGfKev/514YEnn4Rly+SYK66A3bvl8+1vC4/19UE6LfSYMUOu/7WvwZQp4PHINWw2ebYnnoBEAvbtE54Jh+Guu+CDD0b44IUXoLgYfD646CKh0ezZcMklwg/HjskzNTZCaytUV4PZDHfcIfTbtw/eew9OnoRf/1p+958D4n9zKP+sIjynJI33VFWd+gX73gceVVV1y6nv64A7gdHAOaqqXnlq+6VAtaqqN/1X96qsrFT/ZkRoICAM8d57wgTjxsGGDTKpnnpKGOX11+GGG4QoigKrVsHDD0NuLhiNAiBnny0EuesuAZVIBE6cgLFjhaC1tVBTA3V1cuzx45BKyfWam4VIyaQwUyQiYGCzyf5AQK4RDILTKWD2jW8IE4EQf3BQzl29Gn71K/lNt90mhNfr5fz2drmXRgMul2xva5NjBgagqgq6u4XpVq+WiWOxQFGRMFxTE5SWgkaDmlY5OWkpuzvc7N1nYkfmEnb3laFoFMZne9BqTpBp7qOvSk+bdhcXH2li/3l2dibXEdf0kbZbSafTRFNRnCYnD57xIA9uepCUmiLTmMm47HEcbNxG0Kig1+opSuVSoKng5IDCd8vuJNFjY926jYzeBsfNxfSFi2lP5DGNA8y0HKY6WktlXgeTrS3oPB2QmSn0y8mR393dDfPmwcaNI3xgMMCiRfKOenrk2L4+cDjk/QaD8o7dbujtFfplZMA77wiYvPOO8ITPJ8cWFsp7DYflfScSYDIJMOh08hwFBfI9EJCJHI0KwOflyb00GpgzR46prRV+tNvh88+hpQX+7d/k+e+8E555Rp4plZJn7OmRRfDBB8HrhY4OOba4WHiruloWmkmTBGyuuELuqyjyLj7//G8Ch6IoO1VVrfyiff+7JI12oPjPvhcBnYDhr2z/8iMQkBenqjIpolGZvK+/PsIsb78tyJ1KyapfVyereXu7MIlOB4cPy7YbbhBQuOsumXgXXQQPPSQM0twsjHPkiNyvvR2mTZP7feMbIl0kEnIvo3FEDG1slBXw6FG5RjgMr7wiK2YgANnZwpwaDTQ0CHPcc4/cs69PrnnsGCxYIBOhtlYArqhImENR5BnWrROmvvFG+b+nB+bPh88/JzhjPp+rU9k89h4ObA6zMzwJtVFlmmEvs0o6WeD4Gf9WuJ5fLwthKiplS3stekXH1DFz6GqvZ8ec6Wzu/5CUPoXb6qbcXc7W1q0UOgq5ffbtPLv9WZ4951ke2PgA3rCXra1byc3IJRwZoDfcS8qY4nD0t6w+fzWrt8zDaXPSsriF7mlgKCgmPuChKj2aRX/KozE8k09YxtquqbRTzNT0XmZF9jPDcYJzyxOU3vx1mSCJhEzCxx8XGpWXy/tzOoXWkybBnj1CJ6NRFpW+Pnkver0cU1kpklkqNcITFotMyv5+WQCysmSit7XJ/RYvFkDetg1KSuT9m80CNnPnyjXCYQGezEwB8/vuE1rr9UKrxx4TSXb+fJEQ/vhH4ZXRo2HHDjlfqxV6z5wpPF5VJYsViFRzxRWwfTusXy+fnBx55lBIjunu/lLSxv8ul+s7wPdOeVFmA4OqqnYBO4BxiqKMUhTFAFx86tgvP4JBIdb99wsBPR4hYjotUoeqCrE3bAC/X/YfOiRModHIihMOy77ubvlbVWUVOHRIxP5AQBhKq4VRo0QNWLVKJuahU2aZX/wC8vNh6VJ5JpNJGHHLFgGEjRuFGZ98Uv7//e8FXF58UUBq2TKYMEHE8spKIfyMGXLtaFQY4sABAbmFC4X5YjEBvMmTZaJYLMLkRUXQ20t7Ko8ft5zLeYk/UbD9jzybvA7v0e1c/FA233j4HkpXzMJ7+3fYetOT7Lr+BHcuO8YGYztbB/Zz99mrcbqKONh7ELfdzZ7wSZaMXsKSUUuIJCJEk1FCyRDRZJS7193N8YHjvLnvTUZnjOa++fcRTUb5wfQfEIgFyDJlEU/Gmeqeysu7XmYwNkiuJReHwUHG1Ep+cslbrPzWizx961tM+cV32XD1zzCvfQXHrTWMerCaga/cxTtzTnB/wXxmbljL5Cums6L1Snb4xpE2WeRdx+MC0hkZIiFEo/IZHJR3FYkIrQ0G4Q1FkQmVSsFHHwmQaLXy0elkMYhGBdAVRVRLsxnOP1+kgsFBWLJE9k+dKgCWSsn1u7qEzwwG4aNbbxVAGzsW7r5bQKOzU47bv1+ex+MRaUKrleevqRF6DknB06bJb1ixQkCpoUF4bsUKOOsskTDGjJHnGZKAv+T4p6gniqL8ClgE5AAe4AFAD6Cq6k8URVGAHyMeljDwA1VVG06dex7wDKAFfqaq6pq/db+/Wz258kr49NMRO0AwKC9w5kwBi3RaXvrBg4LwILrkrl3CGENGscxMKCuTVeXTT0dEUp9PVJ3yclEbVq2Se5rNIhWMGydMl50tq1syKffNyBDkP/tsAQGDQSSN48cFmHQ6sFqFEW+7TRjsqqtk2/jxAlBDoGa1il5tMAjTLl8u1ywulmfevBm1soo9LRm80zuHd/T/RnOiiKW6jzEtPcg5/t/y/PgT5NQs5PIzlvPDj35Ie6AdgOWVy/nTsT/h8XuIE8eqtTK3dC6tg62sWLCCT5o+wRf2YTVaAahvrydNmmgiSiAeIJaIodfqcVldtPhbsOgshJNhXGYXvqgPu8FOf6wfgJXzVvLG/jfoCfZg1pnxxX2UOEpo97eTZ8vDrDPjjXhZXLoYFZWkmqQv3Mfuzt3MLp6Ny+xm9//ysuyPZ/OJeiGBlI3zdB/y1cwtnDU7jHnvNgF/vV4mXyQiNJowQd67xSK8sX+/TC4Q0Ekm5XthIUycKHTy+4X+t94qNE+n4Y03xP4RjQotBgZkoZg+XVTesjLhg4MHhTdVVfjEaBTQOH5c7pVMCr8FAkLH3FzhIYMBfvQjePpp4YdkUp6xtFT2TZggxx0/LovOp5+KinP22WK3uuceUa/z8kSi/hLqyT/NpvG/c/xdoAECAN/5joiRxcWyqj/8sKzyH30kLzc/XybdhAly/FlnCSEPHxaUr6oSG4bHI2CRTArDhcMjNoUZM0R01GrluJtvFjAJh4XZFEUmeX6+MFt3t2x75hlhvCGj5+rV8P3vi8pRWysr1tGjwrRdXcJIJSVy3kMPjYisfr8cMyRap1KwYAE7tqV4VfMDPho8A702xbwzuthW+Dg6x4dotSptbhO2qEraYcWit9DmayOuxrEoFpJqkixLFt3h7uHXmWnMJJwIk2PNIcOYwbiscRzsO4hG0VBkL6JxoJH2wXYMWgOJdIKqwioO9x3m4YUP80TdE+Tb8tnZtRNVVdFpdaTTaWxGG9FkFKPWSGVBJQORARq6GyiwFfDwwod5fe/r1LXXYVbMLBi1gBMDJ4gkIniCHhQUpuVO42DfQax6K/2xfi7STKd+8AAzD4zHuncZJwa+zpHUDJYoG7jI8SHfSvwWw2//QwzM778vAJ1OC21TKVnBdTpZ+YdsCTqd2Al27BBaRaNC88FBoUt2tkhxW7bI/iFDvaqO2FAuv1wm7dixI1KoXi+qstcr3+fPFyDZuVPUGb9feHf7dtlvNMpi4/fLYmYyieSxfbvwl6qKZJpOCy8vXCig0t8vPNzZKb9z06bToPGFo7NTLNc6nRB1CMW3bhUG2LJFJrTPJ4heXT0i5vf1iVjf3S0onkiIrrh7txBm4UL5OxIZWbU8HlmtwmEBhMJCAZFJk0TvzMgQJhkYEAJbLAIKH30kxM/Lk+fo7hbCDgzAGWfIqpKbK5/BQXl+l0uYqq5OmNxikd/mchHBzK+6F/KC9Xb64k4ui/+YIxduZte43fTYNfiTfi6dcilvHnwTt8WNSWdiXsk8vGEvCgofNX7E7MLZ1HfUo0WLTW/Dl/CRachkMD5ItiUbX9hHdVE1XcEu+kP92M12OvwduK1u0qSJJWJUFVbhsro42X+SEwMniEaiJDVJLp9+OW8deItIIsIU1xT29+7HpDORZc6iO9CNWWcmpaaoKapha/tWSjNKyTBmsKd7D5UFlRzoPcBgbJDpOdM56TuJBg2JZIIIEQBWL1zNAxsfQKNoGKXLISOh44Q/yZSO6zi+9UzU9jFceXma7/esYtyHr8p7DYXgssvEhmEwCD3nzxfgVlVZSJqahMYVFXL8tm1CY4dD7Ftr1si52dnCS+vWjagxQ/YnrVYkwyEJY8hPPWWKSDharfDd5MnCQ9u2yfGtrcLTRqMsRs89J+rqww+LVOLxCLgMDIhH8I9/FInWbhe+u/12cQgcPSq89tlnXwo0/nXDyAsKRCzbtk1WlI8/FkNVXp4Ais0mgAJC7Lo6ecmTJsnKUFEhzFJQIBJJMCjnlpaKqPfSS0KA/HwhGggT2O0CBjNmiOrT3CwM+NRTMtl7e4XAiYR8Fi4Ui3gyKZM/P3/EILdtm6xkW7fKKpeTI0zQ3i4qUSgk1545kxNZ1dzScxdFXfX8UvtNbovdxlfuvYT3rnyU7O9P5YQ5yA9m/AAFhY1tGymyF+ENe+kKdDHGOYbPGj9jfvF8NGjQKTq0aKkpqiGSipBvzSfLmkWmOROj1ohRb6SuvY62wTamuKdQkVeBRWOhN9yLJ+RhXNY4TvSf4PPGz6nvrKfIWoRWryXDlMHLu1+moqCC+aXzOew9jFlnRqvRUpFfwcJRC3HZXOh1ehxGBwtKFvDokkcJJULkWHPY0bGDr479KgCHvIcIJ8M4LU70Bj0AWrQ8VvsYKVIUOApIWExkjp6MpVDLvvKnMN7yHXIu+yq1gR7KP3uMr/JHPvRVkU6kxGNVXS3SRXGxqKglJaIKXn218EN1tSwWBw/KvnBYDORPPCGqzZAB9tJLBYzcbjFSz50rfGGxyCSfM0foq9MJz6xcKW7d224Tftm3T2heVSWSjutULZyxY0VKaG8XqSWZFL60WOQeTzwh1/r8c3Hb19TIonPjjSP2maKiLx2v8a8raYCI+TNnCmEiEXlZBQUCDLfeCi+/LBN+40YhuE4nk3ZgQAg+ebJIH4ODsjr4/WIkTaeF+K2tAiyBgBwHQuAZM8TfbjbLyjHkNo3FBMheeklWqERCVhS7Xa6dmyugdPiwiKzRqKgsq1cLsC1YMGIgq6wktW4D7+i/xsv9F7NLU8nFmteov/A18mdncrS5gUBZPh1BcceZtWaUtEJYDaNX9CwZtYTtHduZkDOBY95jTHFNYXTWaNoH22n3t5NUk9wz9x4er3ucKTlT2Nm1k9aArHjF9mJUVDoDnegUHZUFlXQEOvAGvQTTQTRoSJNGi1ZUlVQCs85MtjUbVVXRarTYDXbunHsnr+x6hT1de5iRP4O93XuZVzKPw32HiafitAfamZA9gbGZYznUdwhP0EM4GcaiszA5ZzIN3Q1U5VWxaskqrnv/OkqcJdS21pIkyXUzr+Onu3+KSW8iTZpEMoHb5iatpukIdmANWPjGHy7lneAPyQg7uMbwGpfb/kBuuEMWlK4usR+8+66oC1ar8IfLJcCxZo2s+LNmyYIUich5DodM1j17hD8qKkQ1MJnEvlFbK/x37Jgcq9XK9nRaACGZFB7LyBBg2rxZDOBD/O52jxj1VVXON5mEP/LyhIe2bJFrz5ghzz4kyaiqAN3GjcJL/8X4v1PSAHm5yaSs0Hl5QvSbbpKX1tYmakNjo+zT60X86+sT9I7FhGB6vbz07m6ZxMXFspqk03KPbdtEZ1QUYSiTSVaan/1MgnMMBmGm3FwxjA0Zt7xesewbjQIuOTnCJJs2yeoSjY78jmhU7tfQAK2tJONpXt06hdHBvdwfu4mv6d/iwluWse76lVRcupSNiWN05FsZjAwCYNVZUVWVsCpGyNKMUm6ZfQsLSxdypO8IiUSCfZ59bGrexMn+k0SSESKJCDd+eCPFjmIKnAXcf4YEjeVacpmYMxGdRodVb8VldbGtYxveoJfFYxYzOWsyadK4zC6KncVUF1YDYDfZMWlNTM2dSn+kn0unXcobe99gc+tmUmqKrW1bCSVC+KI+QvEQ3YFulpYt5f4F93PUe5T+cD8uiwurYiXLnMVl0y/DorPQ0N1AQ0cDA5EB3FY3bpsbgFd2v0KaNBa9hVgixnT3dPwxP+Xucmx6Gxn5mQzcdZSKJ5fj/eYlPJ09mvHtG7lC/wIeJU/oeO+94rL8938XEGlulkmo1UqMRGur2BMMBlmMHnxQ+GTdOqGbqsp+RZHzBwdlcRiKoRgclIXjgw8EZFwu+PnP4Te/kYXo4EEBDL8fLrhAFiibTQCsqEgkluJi4ev77hOQGFJXTSYBqJwcARqnc4THxoz5UtPqX1fSCARE3Pv4Y0Fun0/UhdZWEdmG7A82m6gfx44JM/h8I67KY8fE6j200oTDI8FSd98tBI7FRKe9806xQSQSojOmUnLOkOFs3jwh1nnniZTT3DzyrKtXC8goijyfxSLn9vYKs5yytqvr1vEHvsF9rMHlDHKtcgOf3AWNA43ssA6iUTVEiZJvzWdCzgQyTZlEEhGq8qtYVbuKHHMOqqoyI28GveFeJmZPpKGrgbSaJqWmGAgPEEwGATAoBmxGG4qi8NbX3+IX+37Bu0feRdEohONhDFoDGkXDM+c8wyNbHsEb8VJTWMMnTZ+goDC/eD4Heg5gM9jwRXzE0jFeXPYivz30W9Y3rSdBAgWFFfNWUJpRyvUfXE+GOYOecA8AZsxUFleyv2c/iXgCjVZDeV45+3v244/70SuiwkSSEZKpJGk1zTPnPMMLO17AF/PhCXlIk8asNRNJRbDqrMSTcc4eezY7u3ai0+jwBDwYdUbCyTBVBVXoNnRQ8qfb+Cj6fa4d+zG3J9eS1XtyxDZhNMpkb2yUhSWVEgnDahUAOOcc4Y/SUvGcrVghfPHrXwtdzzxT1EyrVXjMYBAp5JprhAemTRNw+fGPxVAbicjEVxSxVTz6qPCC1yvbFEWkmg0b5O9582TRcbvl+bKz5borVohNxmKR37Bt20iqxF8Z/3caQgMBkSreflsQNhYTglitQtB9+8RN+sILstJrNGLzSCbFbdXTIypIf78AiNcrhMjIEGnBahWxcvNm+TsnR5DeYhHCDQ6KiDhpkqwYfX0CKrt2jcQMHDkiTGY0itQxfbqA1syZEsJ+770CVHY7H7kv5l7PzaS8g3w//0He+e4Ogokge5UeVFQK7AWk1TS9oV7iahyAYkcxvoiPaDJKWk3jMDq4asZVvLznZSrzK8kyZ7Gnew+pdAqP34NGryEQD6BX9EzMmsgB7wEWliykwFHArs5djM0aSzKd5NPGT0khbslRzlHcUHkDr+15jdtm38byD5eTYckgHA9T4izhiPcIs4tmYzPYONZ/jFZfK+Mzx7Pfu58sY5Y8l8mBQWMgx5LDts5tmDQmrAYr/dF+zJhJapLoFB0pNcWdc+7k06ZP2da5DQCHwcE3J36T1/a9hk1vo6awhp0dO5lZMBNVVdnVtYvx2ePpi/QxMXsi4USYTW2bADDrzOgUHbFkDJvRRn+0n4kxJ/GBYhJ7n8J7oJp7i37Jre0PYCYmi8qyZSIpPvus8I2ijET6DgXUvfCCBAHGYhIzcfXVwl9DxvYhaXYoJigrSySEIVev1Sr8MX68qELl5WKHGz1avvf3jwSdLV48ElRoNArfajQCGKoqi1g0OhKLct558kx/w67xfydogEzQpUsFuR95RIAkFpOP0ykvccj96XSOSBxlZUK4iy4SiWL8eNk+FOil1QqB8vJGXF0OhzBCdbWImpdfLoyl18vxyaQwm14vqkZvrwDLUADSUOzGmWeKuFlfD6EQuxJTuYvHaGQ0GRc8g+aMz4mno4wqLiepJtnQsoFQIsTcwrls79hOkiQmjYlEOoHL6qI31ItRZyTbnM1dc+/ixo9vBECDBrfVjUbRoCgKHYEO5hTOwRP2EI6H6Y/0k2XOwqK3yPEaDal0ionZE/ms6TMMigGTwUQsGSOQCFDiKMEX9hFMBsmz5TEQGSCSimDWmNFr9VQXVtM62EppRunwSh9NRIkmoiRJMj13Oq3+Vh5a+BD/sf8/qO+sJ8ecQ7m7nK9P+DrLP16O0+jEF/NR6iwllAjRG+4l25xNIBZgfOZ4DnoPUmgvxBfxoVE0ZJgzaPO3oUVLggTFjmIsegtGxUjjYCOxZIy5xXM5a9RZrNqyCjWlYtAbCCZE2nJ11lDwuwfwhKbyiO5RvjfnJFqLUewcIAvEkOoIwjPZ2WLH6OkRqeL88+X7ihVy/JBr1+cTmhuNwhtDi9JQyPm0aSIRDw4KgMydK3yyfr2ATDot0srRoxJvUlIi187OFt4rLRXjamurbBty61ZUyDW+BGj8a9s0QiGZ0B98ALfcIgTweOTljx0rx8ybJ0ahYFBQ+c47JXx3cFAAIx4XEfLOO0WHdDqF2DqdELuiYiQ+w+8XRpk8WYBqSASdMkWeJZWS/JEf/1jySvR6YQCQ+1glSIr162kM53Fx8k3OV95nxuiNfPXeH9A8/1dctuAGjsQ62NW9ixMDJ3BZXBTYCihyFDGvZB4mjUmCobRmwvEwFfkVhJNhOgOdmHQmypxlmDGjVbR0hbroCHaQVsVo2RHsYGrOVCLJCPn2fGLJGH2hPnqDvbgtbjoDncRTcaoLqhmXPY5ALECmOZMSRwkTsydSU1zD4rLFBCNBUqkUedY8cqw5hBIhNjRvIJqKYtAamOyaTDwRR6/VEyfOtyZ+i709e4klY3iCHrZ1biPTlElvpJf1zev549E/oqAQiAVYWLqQya7J6DQ6qvOrCcQCTHdPR1VU7pt3HwatAVVRcZqdxFNxHEYHS0Yv4axRZxGIBgjGghz2HsZpdJJrzaWurY7H6x6nMr8SNGA32LFqrBTZixhdCU3Xnk/yO1fycPYNTN/wDO9VPihq5ty5wgdWq3yysoTG0ai4NxsaZOJv3Ciq55BbvKdHFq/MTJEiy8oEQDIzRYqZP18WsX37xA18553CG93dYsyMRuX8nh6538CA2D0uuUQ8gB98IGHkR44I75lMcnxRkQSn7dwpnpkvMf51JY3OTtExm5tH4h6mTBnRR4e8IIoiE3/nzhFrtNksImc6LduyskS1KSgQ1N65U46JxwWxV6wQ9D5wQFQLp1OQ/8knxf2qKOL21WhE+rj1VgGQ8nIBmsZGYcBkknROLs94v8Mj/h9yA8+w6dtPc2ScQtSqJ8ucxaiMURzxHqE32MuC0gXDAVUum4tgPIg/7mflvJU81/Ac4XiYDHMGJq2J7mA3Zr2ZqoIqzHozi0oWcffnd2NQDOQ58hidMZotbVtYvWg1qzatYmnZUv5w/A+Mdo6mP9IPCpQ5yjjUd2hY/ZnlnkUwEWQwNshAeICEmqAirwJ/3M/VM6/mpZ0voaLS6mslSRKLzkI8GZe/tRbCqTAzXTMJJAN0DAp4xdU4Cgq5lly6w93Myp3F1LypbG7ZzMScicRTceo76gkmgritbhQU+sP9ZJgy8EV9aFUtKSWFTqMjnApTk1/DxNyJJFIJNrVswhv0ElfjmHQmMkwZdAW7UFBYVLaI4/3H8cf8pNNpUEHRKATiAWoKa3h+2Y95+rGN1H94EzNi23ix+1u4kl3iPTl+XCamVis0Nhhkwdi7VwL9fvpT8cpdconwSlWV8GNxsSxIHR1y3pBR0+8fkUZ1OjnvzTeF1yZMEAm6qkok2sxMAZCyMlGR9+2TcwwGOd7nE37UakdsIdu3fymbxr+upGG3i4g2FA/h84nI7/fL/qqqEeDYskUm7VCCUXf3SLZgIiGEys6Wa+zdK2qMwzESLXjPPeImVRRRfbZulWSpWbNGMgxXrRIg+clPRLKpqpJzbrlF7j0wwIlEKWd0/5rnnBfxy8wFpO/8jMMVdsIWLTWFNeRaclnXvI7B6CAGxUBnoJOJORPRoqUz2Mn4zPGUOkv547E/MrtwNk6Tk95wL8url/PSeS8RjofZ2LyRj49/zPMNz5NUk6hplf5QP9dXXU91QTVratcQTAR598S7OHQOmgabmOiaiMPoYF/vPhaULmBe0Tyq86vxx/3kWfPwhDzcNfcuqguqaehuoL2/nVWbVtE22MatNbfitrnRIbaDTHMmdq2dioIKDBoD3eFueoI9RNIRYmoMBQW31U0sHaM8p5yWQAvnjD4HX9THod5DfN78OeMyxqFDh1FrJJwIk23JpifSg1ajJakkeWTJI1w46UImZ01md/duQrEQLb4WugPdRNQIdoOdcDKML+Qj15qLVW9lR/sOFBR+/Y1fc+GkC5lbOpcFJQswa83UddSx4vP7CM3dxFN/XE/PBB/lqV38ynmZAP7UqTJJ166VuBsYSXR85hnhqYMHxXA+tK+jQ2xfbW2yTVVHeMzjEemhvFykkzffHAn8amoSL8pddwlfWSzCa3r9iNFdVYVndToBkunThVedTslp+huA8bfGvy5oBAIiZXz1q1L7YvXqkZUgnZYXOpQdarWKumK3C4FLS+XvzEw5V1GEkDfdNOJDj8XESh2LCcOMHy+M8OmnooOqqoDUt74lIuODD4oBLDNTVooDB0SCefpp0gM+nlVupia+kZrvJglcfybXX93KLwt6h20MR7xH2NW1C4ApOVPIc+Zx2+zbODlwkihRjBjZ17uPidkTGZs5VqIw41FyLbm8se8N3jv+HsqpZKUcaw4TsydSbC/GaDQSV+Pc+smtbGvfxgz3DArsBRQ6CqkprsGsmDnSe4QJ2ROw6qxcMuUSGjob2N61nRMDJ7AYLBTaCvnN4d/Q7GuWd69FjJtaAz+q/xG9oV5cVhcqquScmO20+9upKqiiP9KP2WDGbrCzct5Kzht7HnajndtqbuNo/1EcBgfvn3ifZeOWUVNYQ5G9iIN9B3nmnGcozy0nnU5z6dRLAbAarKTUFK/tfY2T/Sc51H8IraJlhnsGte213FB5A0X2IlRU3FY3uc5c+kJ9TM+bTooULf4WvGEv35n6HT5v/FwMzM4CCmwFHO47zDvH3uGiP56P/tJnGHPJNdwWuYuLgj+l+6BH+OjHPxYVIRSSCVpYKPQeKqoUDIrEMVQmAUT9KCwU20ZDg0gXVquozfv2iXphs4k6dMYZ8OqrsmBdfrlIDm1tEm/U2SnnD/Fnff1IkuW+fWLbaGuTQK9jx77U1PrXBQ2QyX7hhbLaP/GEGEXvukuI+umnI3kbK1aMpJ5Ho7Ja3HabqBwvvijHVVWJTjkUSZqdLV6YSESud9FFIklYLGLwfPFFAR+3WwiaTAqQbdsmOnEoBF1dnChezELTdt5yfJ9bJs1m4/jvc+WMy2kyR7m+4noWFC/AZrAxNnMsPzr7RxTbiznUd4juQDd3fHYHD5zxAKOco4ZzOQ73HeZo31FS6RTBVJBwPIzb6sagNVDsLOaxMx8jkoiwrX0bFfkVXD3jasLJMKF4iAJHAW2DbXQHuokmo9S11xFWRcU54j1CNBnl/ePv47a5seqs6NETSUQIJ8L4oj56w724LC4MOgMKCnqdnvFZ4zln7DmcPfZsXjn/FVxWFz3BHpoHm2kdbMVtc9MX6iMQD/DLg79kX88+uoJdPFn3JAX2AsZnj2efZx8XTboIFZVydzkFjgLeOfYO65vWE0wGear+KTRoiCVjjMocxYr5KzjccxgNGvRaPW/sfQOzYuYX+3+BSWsikUjQH+rnmxO+SZIkx/uPE0/Gsegs3PTRTTxW+9gp9lEYnzUevVaPRW+hqqAKk87EjvYddFcfxH7fBWyv6GV0so7fDCxCHSpvUFgokzcYFJoPGUiHcpYyM4U3q6tlwvf0iL2spkbAZtIk4VeQ64BIr+vWiZ1t+/YR4+vSpZKkWF09Yl95/HEBJ69XJGWNRnhz8WIBnvz8Lzet/qVtGosXiy1iKMls8WJB3KYmeZHJpKgQ4bAQ1+MRCeOJJwRchhKEHA75f2jfo4/KijDkhfH55NogBHU6BVyKisQg1dIyEvVZWQmNjaTT8Lzvu6yyPsalVx/n19b5ZFkzKCyYSG1rLbfNvo3nG54XY2ZBBfUd9Vj1VpKJJBEimLXilTij5AwS6QSfNn6K2yoT8KXzX+KPR//I+sb1JNQEqFDoKKQ31EuONQdvyItWq8VhctAd6JZjkEjPu+bexa2f3koqnUKjaCh0FLJm8RqWf7ycmXkz0Wv0HOw9iDfsZUL2BBp9jUx2TWZn505WLFjBWwfeosRZwo6OHdw6+1bWbl1LpjmTivwK9nbvpTPQybySecwtnMuLu17k1QteZflHyzFoDYzNGsvnjZ9j0prIc+QxJnMM9R312I12ArEAgVgAi8FCMB5Eq2gxaoxkWbIYkzUGk85EXVsd1YXVWPVW1resJx6Ps3jMYgwaA++feJ95xfMod5XzXMNzzMidQSARoDPQSa41l3FZ47DqrQxEB9jauhWjzojL6sIb8RKMB7lm5jX86tCvSKVSaDQa5pfMZ8PJDYTUECVdXyH1xpNUpvbySvJ6cidki62iokIWnKws4Z8nnpD4i3BYeCI/XxaPSZPExtHdLQvK3r1iP1MU4a3qalFlEgkBhWRSVKLdu8VeN1T8x+USPj/7bKk4Z7ONSD06nZwfCIg0dNqm8QXDbhfDZyAgL3L5cgGSocSyW2+V4/btG5EWCgtFfHv+eXnhZrNM8oEBkR4cDqmY5PUK0fLz5bi77hKpZNs2AaGhSlL19QJOQ/UsNBrIzMRbVsHZwT/wO823+NB1Hpsdy+jWBejTxmjyNbFk1BIOew+joFBZUEmRo4iHFz4MKdDqtViwoNfosRlsfNr4Kdvbt5MmLS5Fg4XH6x5nQ+MGkiS5pfoWLHoLCTVBKBXCG/KiaBRm5M1gMDqIVtECksEaiAV4attTw5Pr/HHns2bxGja0bmBx2WKafc18cvIT2v3tBJNBdnp2Ek/E8YQ8FDoK2duzl0Q6gcPoIK2mWbNpDYFEgFZ/K9s6tuGP+7ljzh00+5p5vO5xEokEjf2NdAQ6uK7iOvQaPWnSZFmzeHDhgxz1HiXDnIFOo2NW/ixKM0r57UW/5azRZ2HWm3Hb3dx/xv3UtdeJp8TkYHvndj47+RkTsicQVaMoKFw0+SJS6RQbWjbwbMOzGDVGDvQeoMPXQTQZxRv0sqNjB/t69rG7aze59lw0qoYiRxGZ5kxcFhcv7X6JRCpBdVE1OdYcvjP1OySVJBYsBMq2kH3zWYSympmq3cemo6fcqh0dsvAMTfadO0WymDhxJEo0Hhd11WKRReXgQeHDM84Qu0QwKKrIkiWyCL35pixQJ0/KcTabSNJDleAWLBAezsgQ6XjuXFFRMjLkfna7nPMlxr+upAGC6tdfLyhbXCzEa2wUo9FvfiPBXRaLWLr9fgGQwUF50QcPimqRSgnQDImJkYicH4+LIaq7WxhiyLZRUyNgodUKgZ55RoJpKith7VoOhEfz1dT/4oKiLZz81gr20Iaan4+KyhSX5HhU5FfQFewi05RJbXstOnSYNWaiqgRpnTX6LFCgrrWOUmcp+/r24dA5AMi2ZnPb7Nu48eMbMWlMmHQmqgqrMGgN9IX7cFlcfHLyE/Id+bQPtpNrzeXKGVfy/I7n0Wq1DEQGSCOib64ll8HIIAWOAn5+4c/pC/fx7d99G4fJwUB0gLnFc9nv2c/c4rmE4hI30Rvu5dlzniWSiHDV+1fhNDiJJWKkSHHX3LtYu3UtJr2JcZnj8MV8DEQHJNvVs594Ko6aUtHqtLisLpoGm8iz5hGMBtFqtaiqyhsXvsGdn92JJ+Ahx5pDkaOIfd37SCtpNKoGk96EJ+yh0FbIYHQQl1WSvQaiA0x1TaXJ18R1FdexZtMaYmqMNGkWFC+gPdDO6IzRrGteJ/U+Ij4SJDAoBioKKtjv2Y+iKuTYc+j0d7KobBEAeq2eS6Zcwor1K7h58hX8/DcttL35KKsTd3O14RfCJzNnCt/l5soK39gogVoDAyKZJpPCOzk5krn69tvi+Xv2WQGNmhpx3Q4MiK2jq0vsY0OelHRaFrhwWCSViRPhww9HMlnbpT7KcHxHff3piNAvHLt2yQtevXokseiCCyRhLJkUHbKuTggZiQhKr1wphMrIEPB48UU5v7tbpJaCArFoP/KIECg7WwCmt1ekjKwsAZmsLDl25065frfUpHjbcSlX9j3KGv0tvHnNO7SNzpLgI0WLUTGiaBVCiRBaRUuhoxAVlY7BDqblTqPR14jT5KQirwKdVseurl20DbaxoHQBB3oOEIgGSJLErDEzp2QOHzV+hIKC3WBHTalEUhFSpHj+nOe5d9291BTXsMezh95wLyvnreSZ7c8QSAQAsGqsmA1mKgsqOeY9RutgK6OyRjG3eC6N/Y1sbttMsb2YZ899lu+//X3i8TgxYqxeuJo8Wx7LP17OjLwZ7GrfRYIEVr0Vi9GCWWemO9iNQTHgS/hYUrqEHEsOiXSCj499TFgND5PvrQvf4pVdr4hLOdCO2+rGG/KSZ8/DF/WRTgmwhdIhrpt5Hb88+EtsBhsmnWnY8NoX6iOdFjfuGaVn0NDZQDKdJJwIkyKF2+ImlAiRYczAE/Qwv3Q+DR0NaDQaqgurOTlwklJnKVtbtlJVXMUBzwGm503ncN9hBsIDmHQmYqmY1B0JdVPmLGN67nT8nw/Q/tpPWKrfxNO6OzGmomLQtNtlshcXi23ijjvELrZ9uyxQ0ahIs0MeFaNRFqPx4yWq9PbbZbvVKpM/GhWwyM4Wvr3zTgEMEHUGRjyCICqS2y28+j+dGv+3Gh4pinKHoih7Tn0OKIqSUhQl69S+ZkVR9p/a93eID3/nGFIvfvc7sWN89pkYiHJyZP+ePfL/wIBIGyCekupqUS+iUTn35ZfFXVpbK2j/wANCyIwMUVP8fonKG9Jbk0k599AhUWGMRtSZs1g97udcG3yE68afx++u/5C6nDBjMsdQ5ixjdtFssu3ZqAiAp9U0pc5SBsIDZJmz2N2zGzWtYtabuabyGo71H2Nc1jjOHH0mu7t3Mz57POF0mPsX3M/i0YspchaxvHI5U1xT+NFZP2JW4SwJekKVQCmtwta2rfSGezFpTDxe9zh6rZ58az5ui5tZhbNwmBzUtddx6+xbGZ01mnQ6zWBkkHxbPna9nYr8Cn6252eE42FixAB4aONDPFb7GPfMu4et7VuJECFJkh9W/5C+YB+dvk5xdSZ8ZJuyybHkkFbT7PXsxWUXicCut+PUOzHrzez37Eev1TMqYxRTXFPIsGTQFegilU4RT8eZUzKHQnshb+1/i0QqQSgeotxdzhsXvsEL573AgrIFfGXSV3j74re5rvI6Xvvqa2SZs0iRwqKzMC57HJmmTMll0ejZ3SVVwBQUDFoDlfmV5NnycNlddAe7sRgs1LXV0ROW0P1MSya5tlwS6QR31tzJ9FzxwuwavZfkVbP5bck4puVtosdcKNJCICCTdtw4MbSHQmIUtdtFEh3KerVaRwDDaBSe279f1GGNZsStOmTDMBiEf/PyBCy2bpWF7ZxzZOEcMpAO2T+6Rwor/XfGl5Y0TjU8OgachRQQ3gFcoqrqob9y/FeAW1RVXXLqezNQqapq3997z7/bEFpdLXplVpaIiXPmyOqv0YgkUVkpx8XjIvINFVWJRqVOwqOPjtSCbG4WIg5Fbcbjcp1Fi4RIqjpSg3GoDF8oRMiUzeXRFzhaNp/ury8iZmoiaFRIkybfJmqJJ+jBpDOhRcv0/Ons7t6NVW/FE/agR0+uLZfnlz3P28fexqA10DTQxKamTZw55kyOeI+Qb82nvqOeJaOWsLNzJ6MzRtPgaWB55XLe2PsGg4lBdIqOLHOWJHklInQFu0iTRo+er477Kn84/gcAdOhIkiTPkocn7MFpdPLk0ie5/dPbQWG4QM+knEkc6jmEqlEpsZVwpP8IBo0BvU7PrLxZnPSdpHewlzBhCu2FeAIe8h35hOKSyZpjycFhdBBLxmgLtFGVV8XxgePMLpxNIi1p7O8de4/p7umYdWY+b/6cpJrEpDWhV/RkW7OZ6Z5JWk3zefPnBBIBKtwVBBIBPAEPKBBJRFg8ajGKovDRyY9wW9z4Y34iqQgmjYloWjKJrVorWo2WHEsO093T2dW9i4HoAC6rixJHCetb1lPqLMUf9XPf/Pt4dvuzTMqZhF6rp2WwhWtnXcvKjSvxR/3YjDbWLFrDRyc/wq7PwPjZI3z6Hyp/rHqUqk0/EV60WEYSymbNkgWtpkbsYrm5shA5naJW6HTi+YjF/nNxYJDraLWyQPb0CP8NlacMhUbyT3p7ha/1euHPL1m5658haVRzquGRqqpx4NdIw6O/Ni4BfvVPuO9/PU6eHCntPiQ5tLWJzjhU47GzUwhhMsnLr66Gr3xFtr/yioT0VlaOFMmZOVO2DYUQx2Ji+xjqszEUBzJ6NDz0EK260SxIb0Bn1bBy1GJCphNMGzuXBaVSy6Aj2EFnsBODzkAsGWNOyRw6g51Ek1E8YQ+rF65m8ajFBGNBfn/490TiEXwRHzs6dpBrz2VP9x5afa1s7diKikptSy2xWIx9Pfu4buZ1/GL/L1A0El1p0BiIJCN0+brQa/XopYQrV868kndPvIuCghYtevQU2Aow6oycUXIGZ40+i89bPifbko3T5KQt0Mb47PFs7diKxWhhhnsG7UGp45lnz2N81ng+b/mcqa6pvHrhq8wrmodRa8RqkNYGgVgALVp6wj2SCh/xSRnA7p04TU4O9R1iQ/MGekO9hOIhNrdtZq9nL6hQlVeFQWMABSZkT2Bz22ZiqRgOowMFhV2eXbgsLjRaDVaDgHtdWx1H+o5QnlNOT7iHeEpqnc7In4F26J9Gi81oY3LuZHZ7duOL+ggnwnj8Hho6Gyi0FbJy/kpSqRTPbn+WrkAXezx7qG2rxWVx8eMdPyaRSKBRNCQSCVasX8Henr3s791DaOltjPn+H1nU8Bj/i68Kv7W3C18NhXwvXChgMXeuTHq3Wxasiy8Wnhw7VnhZp5PAwsJC+bumRviwr29EDamokMWxoECCzWbOFFVmqGKcVvulp9Y/AzQK+eJGSP+voSiKBSku/Ic/26wCnyiKsvNUQ6QvHIqiXK0oSoOiKA29vb1/+6nGjJGXDyMBMldeKfqjyyUTfUiVuOEGefkej6gwmZliZDIaRSLZv1+IsXev+Mo3bBhRaxIJUVNmzpRIvVOur53P1TI7uZnF/9ZHxz0reOicBBq7A6veSnugnYWlC3EanBTZi8i15GLWm/le+fdQUDDrzCwtW8px33EO9x0mmorSH+5nXfM6gvEgKioDoQG6Ql0YNAYsGgtuq5tIOkKGPYMCRwGb2zYPSwnRRJREKoFNbyNOnEQqQZw4evT8+vCvyTBnUOooJceSg9FgJBAL0OJvYVfXLsKJMPs8+0irafxRP/fOu5dEOsHKeSsJx8Ls6d5DOp2WCZNODAegtQy0cMOHN1DfXk8ynaSyoBKnyYnL6iJJEi1aShwlRJNRCq2FInlZ83EYHTy08CFWnrESu8FOnjWPcDyMRtGQa8sFIJaSyNFnz3lWQsrjQVYtXMWr579KIBagPLecTFMmL573ItmWbNoH22n2N2NUjFh0FioKKjjSe4Q8ex52o51rZ11LZ7CTXV276Ap0cc3Ma7BoLKTTaSKJCD3BHlZtXoWqqLQH2kmSpCfcQyweY2ublCTMsmZRXVhNUk1iMVho87dx8ZSL+bzpczon/Zic71/CVbofs6Jwraz6XV0SK/SVr4iE0dEhNrYbbhAbxk03iYF+qO7o0qVS/c3rlU8yKbw8xIfTpglPb90qKsuLL0od2YEBkUCCkoTHlClfunLXPwM0lC/Y9td0nq8Ataqq9v/Ztnmqqs5C+rneoCjKGV90oqqqr6iqWqmqaqVrqPzZfzW6u2XC22yi102dKq7RjRtFdDv7bDEaJRIiVQx13AIJytq0SUqk1dbKS29tHanslZsr7q+qKiGwViv65KmQ8Lp6hWXtr/DQjOf4w+Rv0GyJEbXoeWTxI9S21OIJemgdbOX1r71OhjGDsowyAokAd352J4lUAg0a7AY7faE+2gPtLK9azuis0bx6wat0BjrJNmfjdriZUziHPHseOp2OmsIaVsxbgVFrRKfRcdn0y2j1t/L63tcJJ6T+hU6jw6K3sLBsIdfOvJYUKdS0Sk+4B6vOSm+4l9WLVzOnaA4A0USUQ32HuLn6ZjSKBqfJySdNn5Bvy+f3R35PWkkzv2Q+i0ctFmlCb+WeefegQcNB70Esegtmg5nB6CANHQ1cX3E9Vr0VvSJ5NId7D5MgQU9Eamh4Qh4yTZncv/F+flT3IyoLKqksqMSgM7B41GKumHkF54w9h+tmXcf65vW8ue9NLHoLyVSShzc+zKO1j+K2udnWvg27wc7m9s1oNVpKM0sx68yoikoqnaLR10gwHsSoMbKodBHvN77PnMI5WPVWcq25PLP9GaxmKxqdBrPBTEVBBYORQWxGGyoqWcYsLDoL2bZsjBoj/pifDn8Hjb5GXv/a64zLGgfAy7tfxqQzUewopjtvHaV3f4+nwhdyj+5B1GuvE34ZanFw8qSoLvfeK+UWEgmJMAVRhevrxXDq8Qi/ZWcLwMTjItnu2SOAkJ8vPN7XJ2ry+vUjLS0qKsRz80WtK/+B8c+wacwBHlRV9ZxT3+8BUFX10S849o/A71RV/eVfudaDQFBV1Sf/q3v+3S7XF16Qkm1DL3riRCFMU5O4Qq+7TkS2OXOEaM3NEqd/8KBIGTU1IqXs2SMqy5w5on7s2CGSyZBByWIRwn/jG2wafRkXrZnBbRNv46ULfkP++Fkc7j08XIG7P9qPWWPGoDPwm4t+w08afsKB3gMEYgE8YQ8OgwOnyYlRa2RUxijqO+qJxCNcMP4CHGYHC4oW8Ez9MwTiAQajg2SZs/CGvcNp4Bo0GDQG8p35eHweVK1KKBmixFGCP+ZnduFsLpp0Ede8fw2TsydztP8oiqqABiZkTWCCawLbOrbR5m/DZXZJnovOQDQRxWqwsqh0ERtbNjLNPY39nv3MK5mHgsKh3kNMd09nY+tGbAYbCgo6jY40aXItuezs3InD5ODMUWcyMWsia7euJcuSRX+4n5n5M9nZuROT3oRG1aAqKlUFVWxo2UCZs4xbZ9/KU/VP0eZrkyhUIlj1VlAhlBQdvyqvimPeY2SYMwglQvRF+lg6aindwW5urr6Za96/hnvn3cvaurXE05JwV+Io4dElj7Jyw0oGY4PMKZyDTqPjs6bPUNMqGjSYjebhbFm9Vk+3rxtFp6AmVdxO8b4MRga5cPyF/PrIr5nlnsVAdICeYA+ZlkzaA+04DU4sBgtdwS6yfSWYf/I+F5k387hjrSiJGs2IvWIoUnTv3pFU+YIC2T95sqgadXVDE0akkKGCUn/e+a24WI7funUkk9piEWD52c/+x1Pjd/B3NDxSFMUJLATe/rNtVkVR7EN/A2cDB/4JzyQu1yELdTAo4tyOHSISjh0rKD7UeW2oJNtQjcWhFnY7dkiOyJAx6uRJkTx+8AMRBYe8LuXl8MILfNY2gW88WkH512/hP763iX6nkYOeg9iNdlLpFP3RfowaI7n2XELxEDd8cAOfnfyMvlAfsVSMs0adRVVBFYOhQboD3Wxq3sSdc+7ErDfjj/t5+9Db3PjRjVxbcS3+mJ9McyYvnv8iS0YtYWruVOx6OzPyZhBJR4gmotgsNsLJMHfW3Mmdc+6UuI+2WtbWreWhhQ/RGe6kpqhGPBdp2Ne3jw+Pf8hgeJA8ax7VhdVkmbOIJWO4rC6yzFksKFnAYHyQrW1bSaQTbGnewkcnPqJtsI15xfNw29xU5FUwK2+WBI6psLNzJ0mSXDr1UvwxP4/XPU5KTWHVW6kpquF4/3H0Wj1atJTnleO2Sdi7gkI0FWXFhhX0BHpIkkTVyCJ3w6wb0Gl02HQ2Cm2F9IR7CCfC9IX7GIwM4ra4MWqNFDmKMOvN2PV23DY3Jc4SSh2l5FvzGQgOcMOHN+ANe3nunOc46ZNSh2pKJZQKkUgnxA6SiKPT6JiYPZFcRy6hRIiwGhbVJdSDklb4sOlDYTvPLnrDEnmrVbSUOkpZXLaYivwK3BY33oxW4tefz8v6uXw7/QDR2dWyGL3+utg2LBZZoIaMmkaj8NeNNwrvNTSMtKCsrpZgrqEYoqFObUNFp48eHSnyM22aSNBHjvzPSxrwxQ2PFEW5FqRZ0qljLgPOVVX14j87bzTwx1NfdcAv/2nNkjo7xbORSkmNx6HYfYtF1JX2dlEx6urEFjGUjzIUCDZxoqD9UE2OmTNFZRlKp1dVId6ptonrdWfxrejPeSnnUt5/QOXdUAPjMsexs2snxc5iKvIrGOUYxQcnP+DrE77O8zuep7Kwki2tW3hy6ZOsa1onk7BtCwAOo4P+cD9ZFonlsOlt5FhySKpJKvMq2ePZQ3+4n7klc6lrryPbnC19UnsO0h3slhRxUjjNTgYiA6RIDZe+06KlyFFEWk3TH+4nlophNVgpd5fztfFf48GNDxJPx3Fb3XSHuskwZkjBnFQUi9ZCkiT3zLuHH9X/iInZE6nrqBs2pJ499mxODpwknoxTUVBBf0RsMWOcYzg5eBK9ouf6iuv5+f6fM6doDvUd9Vw5/UqerH+SbHM2voiPAkcBOo2ORl8jNp1EL5r0JnojvQK61lyC8SDJVJJMSyZ6rZ5efy+hVAiT1kSONYeB6ADBeJA0aXSKDoPGQDgVZlHJIloGW2j3t6OqKlWFVezs2MkjZz7Cmto1JNNJ0sk0sXSM0sxSXGYXR7xHyDJlYdQZKc0opa6tjnA8zMJRC9nWto0sSxYTsidwrP8YA6EBZhfP5uTASdoG2yhwFDAhewL1HfVEY1H0eilIpIlms23VfXzP2c7zoRtQLGaxc2RmygLX1iYgsny5LH4dHQIGu3eP5DPZ7cKLGRkiVVx6qUSMrl8vIDGUGuHzCXhoNHLu9u3/494TVFX9QFXV8aqqjhma9Kqq/mQIME59f+PPAePUtkZVVaef+kz5ewDj7x52u0gUbW1i3BxK8EmlxJCZSIgfOxiU6kqlpQIibrfkAgQCQpipU0X6cLlEXywrE2LqdKI35uRQ6zyPb0V/zvLR/84r1xzFl2XmoTMe4lCPeJ3HZI4hmUry/M7nsegtrKpdhdlgxqqz8uTSJ3l+x/N8euJTtrRtwWFw8MKyF5iVN0siJFUVt8WNy+qiLKOMYCzI+pb1JNPJYY9JPBGnN9zL3u69tAfaKXOWESXK98q/RyqdIseSg4JCljmLyrxK8ux5tPpb8Ua8hFIhZrhnMK94Hu3+du5ddy/RZJQscxYokEqnGIgOkGXNotBRiN1sJ5QM8dM9P2VO0RwO9x0m15KLiorNaOOKmVdQaC+kK9hF00ATJwZOANDmb8Opc5JQE7y08yWsBivxVJx0Os3r+1/nmpnXiCpjl2sVO6TiucPsEDUm0o9e0RNLx7is/DIWli6kwFmATtExPms8TquoAFpFy/emfQ+31U22ORuQuJepuVMxaAw0DjSiolJTVEO+I5/ecC9uu5t71t3DjRU3SllBJYWKynWzriOYCDLdPR2dVkeuNZcT3hMU2YpIkKCho4FgMkh/uJ+tLVvRouWNr79BjjVnOLFOVVWRyuIJokSx6C3s6NhBc2w3eTddxaeBWdzXepV4UXJzBSCG2m52dkp90SHDZ0eH8O+YMdJaoaJCJOWBATHW//CHEh8Ui43UfBlqbv7KK2KD6+iQY7/E+NeNCB1qjDxrlohn114r+SZDTWnOOEOkD79fgGDFCjE0BQIiEg6Fi+fnC6GmTxdLtsslrqyrrgKvl+2a2VzAu7ykv5SHv/8R7aOy8Mf8mPQmookoJsWEzqDjvHHncf7Y83l0y6M0DjSiV/SEkiHMejPpZJqQGmJK1hQO9R+iLKOMKTlTOOw9TF+oj2A8iFkruvUjZz7CU9ueIhwPYzfZSatpekI9GFQD6CCclBYFdqOdUDyEXtUzp2wOez17MevNtA22oUNHnDjF9mJcZhcHeg/gtrsJRAOUu8vZ1r4No85ISk2RZc6iJ9jD0tFLOdx3GI1GQyQRoTfYy0vnv8QLO14gkBA36tGBo5gVM2lNmu9O+S6v7XsNI0ZUReWuuXexpnYNBsVAZWEl9e31oMBL572EL+rjjnV3MC1nGscGjhFNRYdbNxY6Cskx53Cs/xj+uB+z1kyRowijzshl5ZexZssakskk4VQYl9VFMBIkmA6SY86hL9KHgsK1M6/lVwd/hVFnJBgPEkvFSKpJ9Iqe0oxSypxlfNb8GU69k+9M/Q4v7X6J8ZlSV9SkNQ0n+nWHulFRKXGUkKHPoC3YNpyO3xXswqa3sbB0oSTZGezotDq6A90EEgFq8muo76rHqrEST8dZNGoROo2ObTv3YnvpY75v/pBViYfEHjHUGX7OHAGSdetE4i0qksXO6RRJoblZFsOhOKNZs4TvhxpaD5WljMXE83LbbbJIbt8ux/4X4//OhLXx4yXnIytL0tZ/8AMxcF57raBzJCKgkp8vUsOddwqCD0XOZWaOtOlraxvpruZyidXb6+UwE/lK+k+stvyAl7+3GcOsSvwxv+jeqJh1ZmYWzSSdSpNMJdnQuoHLpl+GSW/iO9O+g0bREE6EyXXk4ra4pR+HzkpvoJet7Vt5YukTvP6117EZbTjNTtKkebr+abpCXRj1RgLxAN3BbpJqkjhxlLSCXW8ny5xFOpVmqmsqcSXOpqZN9IR7KLAVYNaYiROn0l1JWUYZzf5m3DY3/oifXFsuN8++mbPHnE2hrZBwMkyps5RiZzFLypbQ4e8gloyRVtOkSXPThzexu2c3bb42gknpd1JTXEOhrZBPmz/FoBhIkcJlk7YJGjRE1ShmvZkiZxF6Rc+qzat4aNNDqKjs69tHNBVFh45IIoJe1ROMB2nobuDamdcyJnMMNYU1zMibQamzlJUbVoqxVU2TIoU35OWxsx5jSemS4diNmbkzeW33a4QSITxhD6FkCK2qRafosOgs3D33bi6ecjF2nR2HycHr+17HrrVzbEBqTvRGeoeLKFv0FrRo8Qa90nXOnMmE7AlMdU0dluTaA+08eMaD6LV6rpl5DTaDqFdOk1OKNDsLxPDbtZMjfUdwjbZx5WP/wX/4v8oz0SvFnmYwyCJVXy82jKoqkRqGKnJlZMgC1tcnx5nNYt84cUL4+sorBVQcDgEMi2WkvGQqJcb/LzH+dSWNoXJ/x47Ji9brJRz8hRfEEu3zjbRlvOEGaeDb1iYgMtTVG6RkXzQqyW9DTaHtdgbsJVSn6jj/zHf5uOx6Oi0q0/KmsadrD1nWLDSKBg0a+sJ9RJNRzhx1Jsf7j9Pka0KPnhgxpmVPoz3UzhNnPsEdn91BTWENiqJQ21ZLTWENbYNt1BTXsL5pPSAi/vjM8RwdOMqYjDHcM+8ebvvsNhwGB1NcUzg5cJLl1cu57dPbyDRn0h/ux2Fy0Bfpw6wxU+gsZEL2BI54jwxHOp5ZdiYaRUPTQBPXVlzLo1sfJRqLEkqHMGqMnDX6LLa0biEYFz+/Fi0xYiwoXoBBa6C2pRaNRmI0kmqS0RmjSaQTtPpbAcmeDSXE1pBlySKVTmHSmcix5PwnW4hVb8Wf8HPtzGt578R7w2A41O2tyFlENBWlPdBOqaOU6sJqOvwd7OzaidPoRKuRxkwARq2RUCJEKBEi0yQT+4JxF3Dv+nsZnzWeY/3HCMfDXDXzKn6292fE0jHyrHnMLpyNJ+ShrkO8E0aM5Nhz8AQ8mHVmrEYrfaE+kiTRocOkMRFMB7FqrETSEc4afRZnjTqLhzc9PJzfokWLUWdkcdliattrMWlNeEIeZrpn0uhr5KoZV/Fk/ZMUtI+l962N/N5xOxd43hrhY0URacPjEbva/v2iquTnS7br+eeLWpJMiko+VKl8qBxgRoZILUOtSLXa05LGXx0FBRLgYreLyGcyif+6s1Mm/9lni2Fp8mQBkx6JFcDnE7QH8YW/+KJEkTY1DRf/TdbM49sDL7E09hvGHP93ygqnYjaa2dq+lVAqxDUzryEQC5BrzSWSiOA0OWn0NXJLzS0sLluM2WDGZXJxrP8Yt9Xcxqa2TaTUFEe9RznqPUooHuJw32G6Q92MyxiHJ+hhUs4krp15LUcHjpJryWVM5hjeP/4+pOGBMx7ApDPRF+6jrqOO6e7pRBNRHCYHiVSCQluhtClMSd2M17/6Ou3+dvTomVs4l0+bPqV5sJl7Pr+Haa5pvPmNN1lYspCzRp9Fnj2P1YtXDwdkDeWZHPMeY69nLxOyJ6BTZALZDXZKnaVMcU0hxyw5Pql0irvm3EU0GeX22bdjN9rxBD0c6hV7j8viIteWiz/hx21188HJD/AEPRgVI2bMGDVG9Do90VSUYCzIguIF+CI+6jvqOdB7AA0aeiI9BGIB0mqaVn8rfZE++sJ93FR5E/2Rfura6li7dS3+uJ+j/UfJtmTjsrr4ye6f4DBKdrAn5GFH1w4O9RxidMZorii/ghgxypxlzC+ZDxrEi2STGKFcay4zCmYwOmM080rnsaBkAYd6D3H7utvxJ0RqK7IXsWzcsuHkw0xTJg6Tg+qCag70HiAWi/HM9mfQo8c/qhvNdy7jsuirHFXGjRgus7NHQsd37x5JtoxGJYL0xhsliGvBgpHw8yVLJGM7GJSFsbBQwgscDkls+xuA8bfGvy5oBAISo+H1Sin3/n75qKqg98KF4g0Zalo0YcIIobq7R9Lik0l56TU1w13R7tz3XYhGCX7rIR5bZmdCaSV94T6+MuYrAKxvWY9JZ2J3527SpOmL9NE22MaNH9/I8f7jWA1S7MVpcvLgxgfpD/ejqiq+iI8skyRUdQY6CcQCPLTpIVLpFLWttfz60K9ZXrlcan22bOSTk58QSUVY/sFyNrRswG600zLYwvau7QD0Rfqw6C2YdCbGZY2jxd/C+yfe51jfMSl5Z3fz7I5n0aAh05yJWWOmtq2Wuz+7m5bBFra0bKE70E1tey2FtkLMRrNUEtPZ8EV9LCxayN4+qSI+NW8qDoODDS0b+LTxU7wRL1OzppJtyeatg2+RUlM8t/05Vi9ezbljz2XN4jXY9DZ6wj2MyRyDFi0qKt6IlzxbHnNL52IymZiRPwNVVekKdJFlySLLlIWqqHT5u0irabIsWVw38zrcdjcV+dJTdiA6QCwd4/mG50EBp1laH4C0bqjMr2SKawoaNASiAXTocFvd6DV6VFQm5UwinApT6ijl+srr2dezj2giyn3z76M8t5wccw5ajZba9lriqTjb2rexu3s37QFJQV9euZxFZYsIJULcMfcOxmWNY1vHNlChzFmGN+Ilx5KDVqcV9UpJMzN/JumyDXzlym2co3+HgbRN7BXhU5m/Q2ozwDe+IQvYPfeIEfTuuwVQTlWD48wzxWaXmytuV68X7r9f9t9//+lyf3912O1ie8jLkz4VQw1phorprFghuuCDD8qxLS0iUWg0IzkpNtuI9flUe7vXC1fwXk8Vj89YwUeuXlI2C882PMvEzIm8e/JdzIqZAz0H6I/0c8XMK9AremoKatBr9ZgxMxAZEAMlerwRL0mSzC6cjaIqVBVWcdx7nFxL7nBNi8qCStw2N9FklFg8xp+O/YlQMsTyquWkSHFz1c2E1BCkwRfxsd+zn2xTNoF4gDxrHha9BW/Yy0WTLsKut1NoK+ThzQ/TH+4nraYJx8PMypuFP+Ln/kX3YzPa+GH1D2kflHDpzS2bqe+oJ5wMs3rRapxGJ+eOPZe5xXOHk9xixKjrqJOUddK4LC4q8io42H8Qj99DIpUgRQp/3M/tn97OJyc/4e7P70araplbOJdgVELjPSHPcM8Rq8HKnKI5HOo7RCQZochRxKy8WaTUFJmmTOaWzEVRFTqCHby0+yWaB5pZOmop5004j0J7IQ69g9WLVrO4dDEVeRXkmHOw6Wz85qLfcMnUS2joakCHTmqUkEaraFFQQIEDPQdo6Grg5Qte5sm6J3l44cNY9VYe3vgwHzd+TF9EciuXjlrKmMwx0mxJb8Oqs1LpruSV3a9w0aSLcFldbG/fzo6uHUx1TUWn1VHfJpXUA/EATrMTt91Nob2QS6ddihEj77q+SemSQb5q/z1JjU5sEllZwsfTpwtv//KXI0WjhobfL9K02SwZruvXC+8OJViWl494/r5kub9/XdDo7JR2d+GwSAvh8Eg/kvJy0fE6O0W0u/lmEfd++tORVndms+h/iiIW6/XrqfOM4s7W63nW/jW+OW87Y0pnsLB0IUvLljK9YDoWnQW72Y4n7OH80efzxv43qCqqYkzWGNSUSkqTQqfouHrm1cNFfgEe3fIowWSQmoIagokgZc4ybDobFr2FA54D+GN+jIqRiBohpUodiMbBRpaNWca3y78tIntCakwYdUZ8UWkWZDVYGZUxCkVRWLNlDdFEFEVRaPO38e3J36Y/0o9JZ+K49zgum4tdnl1kmjLZ2LoRi96Cy+Iiy5qFisrE7Incu/5e3jvxHt6Il3+f+u+UOkq5YOwFzMoVcffbk7+NwyAFhfuj/WQaM4moMuGr86vpDnXTG+plYs5EgokgpRmlbOvYxu7e3UxzTWN55XIA0qRZ37xeJurChxmVOYqawhoGogN80vgJnYFOjvYd5elznubMsjOx6W24rC5u/+x2+iP9BKNB0uk0KzesZF3jOvb17CNNmmAySG1LLZe/fTm+mA+dTgfA7TW30xPsGa7O7ov6aO5vJpwIE4gHeLr+aWqKajhzzJkYMQKQY8qhaaCJbe3bmOaeRiAaIJQM0RnsRIeOTn8n7b52bl93O5dMuoSDvQf5YdUPSaaTdAe7icVjdAe6iSVjtPvbueWjW8iyZWHWm9lcdQbbnTpuLnhFpN1USqQOm01iiI4fF/7s6hIenTlTJOOcHAGOr39deH7BAok30ulE+jCbJUDx/4Tgrv/d4+82hC5dKjretm3irhrqf9neLu3pOjpErNNq5aX7/fJ3ZqaIdEPVxv1+2pN5VEfW84OxP2TrRXUo48azs2sn2eZsrAYrN1ffzPUfXI/ZYGa0YzS7e3dL20HSvLDsBTa0bmC6azomnYkr378SgCxjFol0gjlFc4ilYngjXnrDvQyEByhyFpFvy+dQ3yGyTFlMyplELBXjcN/h4dDkLHMWWo2Wu+fezXXvX8cDCx/g4c0Po6ZV5pfOx2l0srltM8+d8xyrN68mnoozNmssC4oXsHrzau6Ycwdb2iWYbGvbVioLKqWNYuFstrVv46GFD7Fq8yr6w/0kSZJtzh4OFFNQyLflU55bTn1HPf6YnxQpShwlDEYGiSaixIiRYcjAF/fh0DlwmB3DYFTbXotD5yCcFIOhTWsjlo6RUlMUOYqIpWIStu3vJt+Rz7TcaXza+ClGjBQ6CzkycASrxsqswlns9+zHaXKSSCUw6U0SoKWmGZs1li0tWxiVOYoHFz7INe9cQ5w4Bq2BeDLOvJJ5xJIxNIqGLe1byDZlk23J5sJxF/LKnleY7pYyBf64H4fewZ1z7+TJuifRarT0R/tZOmopR7xHCMaC0i4i0IuqqIRT4eESAwbFgFFnRIOGHGsOPcEeEkmJ2ci15BKOh4kkI8PG4Xkl85jlnsWDH/6YxEsbeD7/da7qeEYWvZIS4e2WFjHWT5wokc82m0gQQ20T2ttFmpg06T93qX/1VQGdv9ExHv5vrdw1FBHq8QhwpNMCEg6HGIJycuCdd+Qlg4h//f0iZezbJyLh2LGwfTsRey7ze//A5NzfceyKNzhuCg5HQpY4SpjqmspJ30lyzDn0hnr56Vd/ysMbH2ZH1w5CsRAOk4OHFz7MzZ/czNcnfp0CawHPNjxLsaMYnaJDr9HTF+mjIr+C9kA7edY8YskY2zu2c+7Yc4mn4rT52/BFfQQTQSLxCPNK5rGjcwfhpNSrmJg9kSxzFjs6d+C2uhmIDFBVWMWOzh386hu/4tn6Z2kaaKK2rZYSZwkdgx3DrmGbVly6feE+FpUtYmz2WPIt+azdupZAIsCUrCkc7D+IVWslmpIclHGZ49jr2YvdZKe6oBp/zE9noJOXL3iZe9fdyy7PLoyKUXqShHsotBeiVbRcPuNyVm9Zjcvi4oEzHuD3R37P5sbNzCmdQ6OvkVxrLp2BTlr9rWjRSnWsZIzKgkoaOhvIteUSiAcw6UyE42HCyTBPnPkEqzatIpwIY9Kb/lNlLk/Yw7yiebgsLmKpGEatEb1WTygeYkvrFgIJ6V07KmMUJwZOMCVnCvv69uEyu+iP9FOeW84x7zFQJAZmqGyAN+TljLIz2Ny6maqCKuKpOLs7dxNOhkmSpNBWSKG9kO1d29Gh4+wxZ6NRNGxq3YTD6KAr0IVJY0Kr1TIpZxINXQ3YDDbml8ynzd+GN+Kl/1Amup+v553cH7BorF8kYotFAsE6OkY69Hk8UrLh0CFRsW+6SWwa+/ePtB6dOnXE3Vpbe7qw8BcOu11elN8/UhHJ4RBRrqtL3FRLlog4pygSo2EyCYorioDJqW7xdwVXUpzdR8O/P89gtoX75t3HgW5JkUmkEuzv2c9J70lJA1eT/GTnT8gwZeC2uPnJ+T9hWu406jrquGDcBSRTSV7a+RJuixuT1sSc4jlUFlZSmV/Jjs4d5Jhz2NKyha0dW0mSZHL2ZDa1bsKsNdMV6hL3pMEqHcSSYRSkD2tdWx0fHP+Abn839Z31eEIezht7Hlq0PFX3FJFEhJ1dO7mp8ibOGnMWswpmoaJixEi2NZtRGaMwaU1kW7KZmTuTFRtXEEqEWF65fLiTvEaRYrsz88RdaNVbqciv4GDvQeo66ujwd/DolkfZ5ZH0+KSapDfUCyrcVHUT7f52Htr0EJmmTAxaA3d8dgd7PXsJqSHpGhfqpb6jnkxjJjp0rD1zLZUFlaRJ09DZgElnQqNIk+pxmePQKlocBocUMNJoqSmqYW7xXNw2N3pFTyQuvUW2d2znT8f+xLrGdfSF+1BVlR/W/BBFVSh2FHP/GffjjXlZe+ZaOkIdZBoyqSyoZGbeTA71HULRKKhpFS3i1i3PLWdB6QK0ipYscxZ1LXVsad1CdXE1i0ctxq61M9k1md5wL1a9FZPWxL9N/DeOeo+iplVUVIn90Ej8xpAnyaQz0ehr5PGlj0v9k+IDmM67gYt7nyGwqQG+/W2peRsMjrRFqKoSSWPfPtl21lnihs3MlP0Wi9jpDhwYKdDzJQsL/2uDxqXSRIeDByW1fdo08V2fPCnGoiNHRkqn7d0r0khXF3z/+xIkc+mlbOybwu8iyziv9HLGlk5ncvZkVm1aRTAVREFqenYGOnHb3RgUA7FUjIbOBg72HiSlpnho00NsbN3Inw7/ie9N/x5mgxmDxkA0GSWRTnDRpItIpBKc6D+Bisqerj24bC5MGpM8uvegtByM+TBjZjA+SGVBJSadCZvORqYxE4BwKkwoGSKqRtGiZVb+LB7Y+ADRVJSdnTtZWLKQx898nOcbnme6azp94T70ip7ZJbPpC/dR216LzSjZqY/WPopFa0FB4UCfGHUBxmWNY2zWWPb37CfHksMdc++g1deKJ+ChMq9yuOXBT8//KaWOUswaM9PzpmM32jk6cJQXz3sRk9ZEMB7EpDGRSqXoC/WRbcpmMDzIjLwZAOzt3YuKytPbn6a2tZY0aTLMGeTacpnuns6yMcvwx8StWVlQye2f3Y5Oq2N7x3a2tm0lGAtSYC/g/oX3o1f0FDmKePLMJ5lXMo8t7Vt45+g7rFi3gnAyjKqqPLntSex6O1+Z+BVGOUYxEB/gw5Mfss+zj2m508g2Z2PQGzij9Az0Gj27unexsWUj65vXk0gnKMgo4BcX/oICe4H017W7qG+rp3mwGUWVpLvbPruNLn8XKBJHUuIoIcOcAUAwGSRFip5wD8FYEIveglVvZXnlcvpm/Y6p5b3cw2MkMzKkVKDbLWDg8Yh9YqjbX1ubpNUfOSLhBePHSziB1SoL4u7dI8ltX2L864JGICAu1cWLxUUFUktgKAelrk6MRSaTvMhnnhERL5EQX3YkQui51/iB5nUqr36N1Wf7+KS3jnAyTJYli2tnXotBY+CRxY8wOnM0RfYiwmqYjkAHk3Mms2bJGmkYpNUPl7C749M78EV86HV6JmRPoCPQweVvX84nJz6hL9LH5JzJRJNRVFUlmo5iVayEE2G6Q9KbpLqkGqvGSlpNU9cmgVH9sX506FBQyDRmYtPbKHIUcdx7nBZfC33hPlp9rdz48Y28uf9NtGhZW7cWb9hLvj1/WGKpcFcQS8WYlD2JvrBk3aZI0dDZgNPkRIOG3T27Wd+8HqfRyTWzruGBjQ/gtrkZlTWK1UtW843J3+C2Obcxs2AmvqiPaDrK3u693Df/PpaNWcbHjR9Lf9REgIP9Byl2FKNX9fhjfgKpAB3+DhaVLsKulYzU3mAvbpsbt8VNX6SPUDxEbVst3532XV48/0WqC6tl/ynvklFrlJwZpPr4Cw0vUGAvYHTmaB7d+ihWvZViezHl7nIaPA3YTZIenkwk0Wv1HOw5yB7PHqZkTcGqE2lun2cfvqiPDFMGZr2ZUCJEu7+dWDImSXTBXma4Z1BZWIk37KXZ18yojFFkWjLRKTqWjl7KgwsfZH7xfHQ6HTnWHCZkT0CraOkIdOANe1GRNPw7au6gN9zLms1riKVi/Hzvz9Gi5cLbavm98nXWhyokSvTMM0XN0GhEGh7KioWRmCOLRdIkVqyQhXGoR/Edd/zNZLW/Nf51bRogUZxXXjnS4X2o+1l/v9g1hmoWZGdLGTWDQQrvnCr1fmP/gxy3Z+J+9OecO+Ob3PjhjWSYM2jyNaGgMKdwDuNyxrGhaQNdgS5QIU6c1QtX86uDv+Jo31EsOgvv/ft7rNq0iu0d28kyZzE2aywbmjagonLPvHs40HeAd4++i0lnwmlyotfqh4OzShwlbGnZQp4jj4HwAP6EX9y4RTV8bfzXuH2dVKjOMecQiAVYVLYIs87Mhyc/xGl0YtaJmzeRSFCcVUwwFqQv0ifVwgxmQvEQXcEuLpxwIQORATa1bsKoiN6fYclgVt4sFBTi6TjrG9cTTofJteSSbc4mz5bH7q7dLChdwIn+E+Rac/FGvNJWwbOPtoAUdNMrehJqAqfByaScSezu3k0sHaPYXsxgbJCZeTMJxUJ4ozKBvGEv1YXVbG/fzuzi2dS31+NP+IfJalAM5DvysegsTMyeyP6e/aRIUZVfRVpNs7NrJ/FUnEA8II2cFQWLwYKqqsSSMZaOXkrbYBv1nfVo0KBRpPmRQWvgk8ZPsGgthFIhDBjQoaO6pJrOQCddwa7hiu0V7gqaBpuYXTibVUtW8VLDS3xy8hO6/F1Su7XvCJ3+Tu6aexeralcNg9U+zz4Go4MsGbVEVCVUattrqSmoIdeaSzQZZWfXTqoKqjjWfwxUcbt3fzaKtrfvY5+3CHsqIACQmSmGze3bZcFraxM1+9gx4et588SQv2GD8LaiCLhs2XI6IvQLx7FjUvLdZhNkXblSkncmTxbxrq0N7rtPXnpfn/SJGBwUO8eKFWzsn8r/ipxL7JIH+F3rR/z24G95++K3eem8l1hcuhidoqMr2EWbrw1/3E+ONUfyTTDzZN2TnD/mfJIkQQNtg200dDaQSqdoG2wjnoqjaBSRSGrXUJFXQbGzmEQqwWBkkL5QH93hbr437Xusb15PVI2SbcqmPK9cIgvNmWxu24xJZ8KqEz+83Whn2dhlZFuyuXXOrcwunM1gbJCkmmRm/kyMRiPFjmJCyRB5NonfyLXk0hnslPKB0QFODpwkTRpFqzDRNRGrzkoynWRjy0Zuqr6JV7/66nDORjQlElE4ESaajNLa38rG1o30hnv59OSnYv+wF+EwOJhdNBu73o7NYGNb5zZi6RhatOIGjQfZ2bWTBk8D3YFuSdBLBDniPYJWq6VlsIWXzn+Jc0afw+yC2dg1dnJtuXQOdpJlzuKQ9xDRVBRfxMfXJnwNg85Af6if3nAvakplYs5Eqgur6Q320h3qxqyXcv45Vsn8nV00G7fNzeaWzWxoFCB3mp0YMRInTpQouzp3MS57HPn2fOYVzaPUUUrzYDMz82bisrlYu2UtJ/tP0upvRUXlRP8JtIqWPHsebx2QkHBfzEcoHqIt0EYgEeBE3wm2tm/lcN9hAE70n+Dd4+9yqPcQmaZMGn2N9If6SakpPj7+MTtKniNRvJEb9I+StJxqW9DZKarIUKnKWEyka49HtnV0SO7KxIliNM3Ohrfe+tIRof+6ksaxY1K8FQRhh4oDjx8vEsd778m+JUtEZTl0aLh2Rggr5f7NrFWWU78myu9NJwjEAsOJRpmmTJLppIjg8ShZ1iz0GikVWOIsEfuAzobD5KDcXU6nv5NCRyGH+w6TSCUkYctexL6efcSSMRKpBMvGLuOs0WfxwMYHmJQziY5AB6sXr+bBTQ8yO382bx58k0JbId3Bbp4951nWbl2LUWdkQvYEDvUeorKgkkumXsIP/vQDHCYH/qifUmcp+/v2Y9FYyLJmoSgKvrCPmmIpfKOqKj3+HqJEWTpqKRubN5JUk8OBZWeWnUnLYAtd/i4prlNQwWeNn1FRUMHGpo3SCuAU+PRH+4nGohRlFhFPxTHpxPXZF+zDZXcRiAXQa/R0BDsw68ysWriKl3e9TDKd5LbZt/G7w79jT9ceqouqCcaDHO07yiTXJHpC0g0+GA/SFejCorUwv2w+m5o3DVct9wQ9ZFuziafiVOZLrxYVlUgigifsodhezOjM0ezs3Mms/Fn0R/spd5fTFegiw5jBupPrSKgJIukIboubyoJK9nTvwRP0kGfPIxAPcP648xmMDlLfUc8U1xQMWgM7u3YyLXcaW1u3ApAgweqFqxmVOYr7N94v9pKznuTq966mIr+CQ72HaAu0Mcoxiia/5CAlSGDSyLuqLqymJ9zDuKxxw8mM+zz7mF00m1nuWfzo/ecx/Hg/vzZezdmT+0Q1GTdOoj4nThQAyc8XUPB6JdRAqx3J0j50SMIQfvObL1W5618XND7+GM49V8qbtbeL29XrFQPnm2+KbtfXN1IyPhYTFcXt5oYd36UxlMR5yc384IZX+OWBX9Ib6uWzk5+RJk2ONYfJOZNpGWzh8umX89DGh0iQQIdOVsFgJ3pFj8vqwmawMSZzDI0DjXQFuggnwhKrYHVxz7x7eHP/m7QMtlBVUMWh3kMUOYpY37yeDGMGvqgPk95EJB4hx5bDvKJ59IZ7afe30zrYiqIqnDHqDLSKlmZfM4lUgqbBpmEdWaNoSKpJNGiw6CyS4Yn0QI2lY6ioWHQWKgsrsegtRJNRlo1Zxt3r7sZldfHCeS9w+ye30zjYCMC3Jn2LG6tv5Cc7f8LG5o10BDvIt+Uzu2A2F02+iCvevYKFpQtpHWzlhsob2NG9g62tW2XCh7rINGRiMViGywb4o35QIZKKsKB0AbWtteg1kmeSa83FG/ZSklFCqbOU9c3rSZMm25RNZUElnzRKrdJZ+bP4/OTn6HV6ZhfNZkfnjuF33hHoIBQPYdQZMeqklqc37OXcMecSSUZY37wel0UaUmeYM4bjKdKk6Qv38eNzf4xZb+aG92/gybOf5PG6xymyF7GhZQNWvRWr3kokFcFhcHBZ+WWsql2FRWchnoxLdCkwzT2NXZ5dw024h+qKmI1mNIqG3lDvcMnGhWUL2dGxg3AiLFGqaJlfOp/uYDcz8mbw3pH3yD30daL/62GOqDOxTSkTo/5QB3q7XYz6ixbJti1bROIYarcxVJ5y06a/Gavxf0KzpEWKogz+WcOk+//ec//bw+WSF3XwoBg3h9yojz8uYprXK+6qnh4BlvnzYe9eNp4s4k9t1Tw1/zecKDJxy8e3kEwnpXRbRqmsbCEP61vW0+xr5tntz1KSWcLcwrkUO4uHbz/NNQ1vxEskEWF753ZyLDm4bC6sBit2o51OfyfL31/OxtaN9If6iSfjRJNRrqm4hnQ6TU+kB52q45HFj2A1WjFoDIQSIera6qSHiD2f+xfez7qmdaxvXk8kGcFldeE0OCm2F+O2ujHrzJgxi5HUkoleo8dtc6PT6TBoJW3dZrSxs3MnH5z4gM+bP+fZHc9SVVhFNBXl9k9uJ5aKoUGDQ+/g4qkXMyZrDAc8B5iaO1XS52NhPm/+HLPezAXjLiClpgjGg9z48Y0sKFpAVWEV80vm49A5GIgPkFSTuCwuOoIdUnnLKt6ftsE2puRMGa7fqdfqMevM3D33bjoDnegUHU6dE2/Uy7a2bcP9YnxRH5F0BDWtUp1fjdPkpCvQxfqW9RTaC5nuloC6f5/y78SSMc4oOYNvTv6mFC9Kx/FFpf1ib6SXEkcJ7YF2kVzM2fz+8O+59t1rCSVD3PzxzbQMtvCdqd+hxFmC0+SkP9JPKpHCE/TQ0N3A6oWr0agakohKaNaZ8Ua9wxXmNaf+TXZPJpqIEklGmFc8j3BCYjsafY1kmjNRUXFZXBi1RloHW0mpKa6rvI45JXPoL38X27Rj3G54SpIo/X4BikRCbHVjx4r79fPPJSclHBYJ2usdqRXa93e3GPrC8aVB41SzpBeQauKTgUsURZn8BYduVlV1xqnPw//guf/4yMuT6kbV1RJJN3asRIW+/LIEvyQSI+G29fVw5AjJYJTrdl7JlLNX8p2aHWTmlpBKp+jwd/DJyU+Y5JrErTW3okHDlKwppEnTG+lFo2o41HeIcDJMJB6hxFFCKBUi15KLUWvk+lnXU9deR5Yxi5ULVjIYGZQ6nkSxaq3UFNfgj/tp8jVxqOcQGjRUuCtIaVN81vQZ47PG0x3s5mDvQXQaHdFUFG/Yy8u7XpbgLION/kg/9Z31rFiwgsmuyVJs2JSBVi9xHcurlrNszDIWlkn26pmjz6TYUUwsFeONC99gxbwVAHT4O9jRsYPxmePxBD10B7tJk2ZK7hQu/9PlnOw/yYQcKV+nUTRMdU9lMD7ID975AW3+Nj5r+oy+sDDlqs2raOhsoCfUgz/pl1IBoT56w70U2goxGozk2/JRUBiMD7Kndw81hTWUZZahU3RkmDN4uv5p1ixZw9ziuaTS4iEYTAySacikLFOSv5aOWsqYrDGsql1FMBYc7t9a31bP1tateMNeVm5cSbGtmMaBRq794FoiqQiFtkKcJicA2aZsLHoLKirlueUE4gE+a/yMaDqK0+REURUq8ytZW7eWvmAfWkVLrjWXxWMWk2nO5MOTH/LantfQaDWYMOGNeMm2ZoMKVp2VabnT0Gl0mHQmDvceZvGoxbz97bcpySghyyKTOdeSS01hDTmWHPrDYs8ozy0H4Om6p9nRuQOtRov2vNv5VexcPrziCZEknnlGIkI1GgkpiETEfvfzn4uqEouJCm4ySRzH0qVfamr9TzRL+med+1+PYFDQdc8e+O53RVSLx0Wy0OnkJT7/vADKKenjF//2J3KUXooqdnIo0saGpg0EE0Hq2uowao0c8R7hkdpHcFldRNIR7AY7WcYsjvuO44v5pE5C/kxeueAVJmdPRqvR0uZv4+n6p0mTZkf3Du5edzfJdBKjxohJMQ17Bza3bKYyv5Kn65/GZXMRToQ5a9RZ7Ozeyfau7Vw+/XK0ipZYKobT5CSSjJBnzcOIUap/qwqF9kK2tG1hW/s2qgurGZM5RqIjEyluX3c7+3ukzFtKTdE00IRZZ+b5c5/nlV2v8Hjd4+Tb8tEqWpIkOdh3kFAqNOzCPNJ7BF/Cx9ratUSTUZLJJO2Bdpp8TRgVI4lkgiO9R1g5byVzi+di1VnRKBpSqqzEqxeuZl7xPBxGB08sfYLnlz2PVW9lT/ce7EY7/eF+NGjQa/VMc00DBfoj/fhjfm75+BZqW2uJqWJAvW7mdaCBW6pvYXzmeE4MnOBg70EAvBEvJp2J62ZeRzQdRa/TD7s1d/fuHk4WS5Hi8umXU1NQg1WxEkvFhr1ix73HsegtGBQDs/Jn4Yv4CKaC7O/eT3ewm3AqTK+/F0/IQ2+ol4HoAAW2AsZnj8dpchIlSigRQqNo8Aa8JNIJEukExY5iiRhNJkmkE4QTYRRFoaagBrfVTX1nPUd7j9Ib7qUss4xIWhYgRVHY37sfrUYraf+2bgxzVvPES2MlsvlHP5I4JLNZvCSBwEi+it0u5QOHYpD+CXEa/4wWBhchBYOvPPX9UqBGVdUb/+yYRUiDpHagE7hdVdWDf8+5f3aNq4GrAUpKSipahork/LURCMCyZRIyW1oqL83nE8kiEpEXPHu2gEp+PtHcEsY1vMX4ZZfx+ZR3seqsKGkFnV7H7MLZ3Dz7ZlxWF3d+eidbWrdQ5CyiIq+Cwdggm5s3izVeUZiaO5XGgUY6/Z24bC4uK7+MtbVriaViXDHjCt7c/+ZwhKUOHdPd0znQewCX1SX6fDJKKB7i3LHncvHUi7ni3SsYmzGWPd17sBgs2I12wokwozNGs9ezl4QqTZC0aJlbMpd9nn10BDvQK3pJwEJlpmsmJwclzL2ioILPmz7nnnn38NKul0ilUzQPNuMwOJhTNAe9Rs8lUy+haaCJn+39mYTLt9cxEBugKr+Ke+bfw5XvXkkkGiFC5P/12i1ai9Q2RWVR2SJaB1tJpBP4oj58MR/V+dUMxgfp8HUQTUUxYCBCBBWVKVlTONx/mFJnKSk1Rau/FR2SVFbgKGBUxih2d+4m15bLCd8JtGixaC1odBrmF89nTuEcfr7/52IADXpIqSlsehsZ5gyunnn1cG1St9XN5rbNKCiUOEqIJWN0h7t568K3+P3h31PXXkd3SPT/fGs+oUSIO+fcyRllZ7C2di1bWrcQjUtuzZA7udgu7uzpedPZ0LoBp8FJZUElu7p3UeYoo3mwGafRSTQVpcRRwu6u3SgahRJnCROyJ7CxcSORtDTpnpw1mSZ/ExdNuIi3Dr5FnjUPrUZLIBZgmnsaa5as4b5PH2Lb7S/zmzE/4usHfypSRCg00k5jqI2BzydzYchFG4mIgfR/OIz872mWtAsoVVV1OvA88Kd/4FzZ+I82S+rqEg/KrFkiWRiNYtfQagWNV62S2PzMTMjK4oWNUxk3ppfWeYepya8h35bPWWPPwmVxcXLgJNe9fx33r7+f3V27qSyoZMmoJZxRcgb1HfXE03GmuadRXVhNXVsdRY4iosko8VRcEpy0Wh5Z8gib2zZL1KS9kNHO0dwz7x52enZy55w70Wv0tA620hXqIpKI0DLYwn2f30cikSDPnofVaKWmsIY5RXOYWzyXnnAPaTWNgsKDZzxIliWLo96j9IZ6qc6vpqaoBr1GT3lOOS2BFjJNmWi1Wi6ccCEZpgzuXXfvsPu32F7MI4sfYXvHdra0buG2T29jxcYVuCwudnfvZiA2QLYpm1xrLvdvuJ/y3HLMRjNXlF+BXWvHgFTMcuqdhFOin6dJ0+RrYqprKkadkSmuKejQsbt7N4PRQYKpIEmSzBs1j7NHn022OZvjA8el+HGBRJfatDby7fnMKZ6DUWukO9RNrj2XfLukdqdO/XOZXRg0BlZvXk2eNU+qkKtpLBoLE3Mm4gl6eHX3q3QEO8gwZuAwOlg2Zhk2vY1EOkF3uBu73k62JZtEKkFfSNSrbFM2/ZF+AvEAqzat4pEtj3C8/zjjssYRI0aWKYtprmnDyXtp0pz0ncSoMTIxZyKtg63Y9Db29OwhHo/TF+mjN9TLjq4d1BTXYNaYmZA9gcN9h4mlY8Oq0vGB40zJnkJ9Vz0mnQl/VPJ6bEbJfH5558vk2BzY5z3AmsNXoRpNUrVcpxOPYXa2pMFPmyaG/qE6MUO9XL/k+GeARjtQ/GffixBpYnioqupXVTV46u8PAL2iKDl/z7n/7ZGfL8lnBw6ISnLttWIIMplETfnRj8T4WV7O4OFOHtPewxzNt+nxnGR713YS6QSXTr+Uu+beRTKdpGmwiY0tG4kmJPim1F7K8o+XY9VbMevN5FhzuGTqJcOtB5eNW8aknEkAzMqbxat7XmVizkSyrdmYdCbi6ThH+o9gN9jZ5ZGGw1aDlUUli8ix5lDfWY8ePaFUiGgySqY5k8N9h9nVtYt9nn10+jvJseSgU3T8aNuP6Ax0Mtk1mUVlizjWf4y93XvRqloaByVHREWl29fNTR/dRE1RDfcvvF+Sw4KddAW6eKLuCbLN2VQVVuENezFipN3fTneom3JXOYlkgs2tm/GGvezu3o1BZ+C1fa8RToXRa/RMd02nwFFAVV4VAFa9FQ0aQokQiVSCw32HybHmkFCl5ynIKp5jySGlpvBGvMRVmVjTc6fTMSh9ePvCfWzv2E6Ro4hprmnk2/Jp97eTa5YWjUpa4fGzHmfFwhUUOgs52HOQFfNXUOQoAmCfZx/Lq5azaNQiMgwZbO/azvsn3qc/0k+eLY9QQhpJZVuyueGDG9jSugWz3kyeNY8McwZrFq/BaXCyZska6jvq6RzsZJ9nH9mmbAaiA+zv2c+cQincbDPaiCQirFywkj3de+gOdFOaUYrD4KCyuBKNqiFFinnF87is/DLSioD+YHSQisIKkukkNp2N8Znj2d+7H2/YKy75tNQj6Q/182njp7x9SFoHzb5kkEarjj9EzpEOgTqduF3b2sQ42tQkFbvsdgENg0ES2f4PqKfxN5slKYqSp5wqIKEoSvWp+3r/nnO/1MjLE/91ICAu1vZ2CamdNk2MQ4oCej1PzH+bc+wb2XZeP5YsN2atGW/Iy8V/uJir3r+KSDJCsV2wLZKOcMfsO/jt4d8yu2g2ozNHE0vGmJYzjavevYqmwSYGoxJUVd9ej9Pk5KTvJM0DzcwunM1AWFbt9kA7Lb4Wciw5HO07So4lhwUlC8g0ZRKMBjFi5OjAUVbMW0G7v53ewV7aAm10+jsZCA9g1kt18ln5s+iL9JFplrBlFRVUSKfTxNU4wURQqmX7u9DoNDiMDuYWzmXlxpXoNXrOGX0OC0oXDNfktBlspNU0er2ewfAgBqRLvapRCcQD9IX7SKQSw/U4syxZJEhwqPcQJc4S3DZpF+m2usm357O+aT39kX4eXvgwZp0Zi9bCrLxZzMqdRSwVozvYTZu/jUxD5jDZXt79MgWOAqblTRODpb2QzS2b2diykc1tm2kabCIUDVGTX0NIDXH7p7fz3PbnqCmswWlysnrLarwhLxqNhqrCKp6sf5ISWwm+uG/4HvWd9Vw8+WJcFhevXPDKsPtzbOZYtIqWSDxC60ArLzS8QDgRHo6wtZkkTH/JqCVcOP5Cvjn1mzy29DGWjFqCSWfiwTMeZF/PPgyKNKre1rYNi8FCX6SP+xeK07DJ18R1719HIBEgkozw0MKHONJ7hHA8jFlv5mD/QUocJXijAt4mnYkfn/NjHl78MGeOOpNYOsZuz24GYl4iZ97BbbrVRHPcIkUPuVXz84XH775bclNyc8UxcOjQl66n8aVBQ1XVJHAj8DFwGPjtKXvFtUMNk4CLgAOKouwFngMuVmV84blf9pmGR1OTuJ+GMvuG9L6ODim+s38/XW9v56V3C/F86wkazBKNmVSTKKrC6199nVfPfxVf1MeYzDEoaRHtntvxHIPRQbZ3bGdz22YyzBk8tvUx7pl3Dw6tA71Gz+bWzVIZKxHGH/VTkV/Bw5seJhQPSftAvax6vaFe4uk4E7In0DjQOFwwJoZ0NXvn+DsU2AvIdUrF8kQ6QYY5g3PHnsuqRavwRrwYNAY8IQ8fHfuIdU3ruKnqJvLt+cMBZ2eWnondZOeHVT9kIDzA43WPS08RvQOH0YEn5GFe8TyMOiPXVFxDibOETFMmkXSEOHFQYKprKioqJo2JSCpCsaOYEkcJDqODH531Iyx6C/s8+3jvxHvUddQRSUbY2raVPHseYzPH8lT9U/SEeginwtS21bKrZxeXTr2UDS0b8EV8RFIRVs5bybTsaXT5u+iP9NMREGmjcVB6lUQT0qwpx5xDWA1jM9pGwDwe4Xvl30On0WHWmYmlYuTYcvj25G+j1+jZ3rWdYnsxPz3/p8NRtI/WPkrzQDPesBdv2EsoEaLB08D3y7/PmiVr0Gg05NvycVldbGrehCfgoTvUTTgpJfhWLFzBtRXX8r0/fY8tLVs4OXCS2z69jQ+PfUiOLYeawhry7Hn0hfooc5b9P+z9d3id1ZnvD3+e3fvW3tqStrpsuVfJkiXLcrexKekTZiaZkJCQCTW0gCFgOqaa3kkgCfwmpE4CCcXg3iXLlty7urSLtKXd6/Ps5/1jgea873XmTM5w3plcOb/lSxfItrCQ9ay91n3f38+Hw4HDOPVOLDoLi6sWU2Gv4NDwIX68/cfYjXbK7GW4TC7MkpnucDdatDRXN4MGwVjdehtZJYtZbyaUDNE11EVm5sckq9K88Q9/EiBtq1XUNU6dEvW7zzwpqipqGd3d/7ax/CfX3+5w1/CwmPaMRv/NkjZrllAtNjYKtmIwyDXZZzGmxzh03b3k5s0mnAnzDzP/gZcOvcSaSWu4Y8kdfOXXX0Gv0TPVPZUL4xeYUzQHOS+zo2cHtyy6hRc7XqTAXICkSoxnxrm79W4e2v0QJp2JQFIkQM+MnCGmxFhcvhitRsvugd0i/6Ez0x/tp8pRxeyi2ZwbP0c+LwAydoOdb879Jv/4u3+k1F5KMpdkJDWCVWtlWc0ytl7YilFvZF7JPHJKjk5/J4qq4DQ6xaRo8CSVjkpOjJ2gzFZGKBkim89y6ZRLaR9qZyQ1QqWjUpDTJQ3jyXFW1KxgR98OWipaODd2jgq7cIx8e963ufWTWwkkAnjMHiE6UvIklSRLKpcwEBugL9yHQTKQU3OibZgao9BSiD/hR4dOWOMyokti0phYMWkFu/p3oZW0zCqaRV+4j+HEMAYMmHQm5pfOp22wjUJrIbM8syamWCOZiAiQ6cwMRYaQtBIaVUOJvYRkLokv5hM6hYpmzo6d5er6q3m+/XlScopHVj3CSx0vMZocJa+I01hTeRPD8WH6w/04jA7GM+M49U6me6bTFegSpwaNUBiMJEcw68xo0VLuLCeejTMYG6TcVs6soln8w6x/4NbNt+IwO4hmoqCIBPLKSSspMBWIjgkSB4YOYNFbKLGUcNB/cEIbeefiO3lk7yMMhAfw2r1MdU9ld99uLp56MZ3+Tn75tV/yvfe+x+D4IGnSzCucR/CoF/Vf/h96bn8T8/OPi9pFJiPIdc88I07cGo3oJsbjfx3DXX+VKx4XM/gzZog7XSYj3m9qEhHh4WG6rXP5XeZLrKz7Kd0eiXZfOwXGAp488CRWvZXNFzZz7/Z78cf89If76Q33cs2Ca7AYLJwYES3JN7reoMhaxDT3NMbSY9j1djbs2IAsy8wqEiMnwWSQlCI6DYeHD9Pl7xJ8ymya21tuZ37RfGKZGGdCZ5Dz8sSDv713O91j3UiS4D6MpEYoNBei0WjQStqJ1uy+wX0c9h3GgAGLzoJBa+DA8AHyUn4Cdntr863MKpyFisoltZewomYFVsnK5ILJ+GN+ghEhLE7kEqh5lbNjZ6l0VHJo+BCbuzfz3fe+i6x8SiSXM0iqyKfkyYvTlqFA5FZUiRJbCWMpwSC9ofEG9OjRoWM8M44Bg5A3awSLU1VUzHqzsJVl48wrmofVaMVusnNi5ARrp6ylvqSevnAf/rif0dgo6VyaGxfeyO0tt5NQEkKabXaSyqWIpCMoKBTbijkxcoK5xXN56dBLJOQEWTXLbVtvYyw9xjNrn6GpsgmtKgDBXquXamc1TpMTHTpq3bWcDZ0lnxdZHLvBTjAZREUlKSeJy3G+NedbJHIJSq2lzC+Zz2HfYX576rdE5Sj+mB9Jkvhu/Xe5ZOolbO/Zzvvn3mdv317Ojp3lsVWPMRwdptPfycrqlSyrXoYkSfx4+4+pdFRiMYguVKe/kxJ7CR3DHSRzSZK5pAAKkRHi7dBJspM70Dr38NIDQdExCQZF4f/JJ8UJe3hYdFFcLrGhfMYN/U+uv+1NI5EQfIFgUCT+QiHRVSkpgWyWl2Pf4p8cv2F96ylqKkQVPJAIUGor5b5l95FRMkQzUZZULUGSJJxGJ7dtvY3dfbvJ5XOiuJgQwbL+aD9us5sFpQu4sfFGcuRIy2kkJNa3rKfUUTohC8rLeeYWzSUux/nh5h/SNdJFqbUUrUZLIBpgODrM2slryck5frztx2IaNJtAhw5VVYnlYhwfOU48E6fUXjrRZVhcsxidVkcyK47POnREchEA3j37Lp0jnZTZynjx4IsEE0Gyapbu8W5aKlrIkiWn5NjVtwu7yU4ik2B3325USRVQXr2NUDoEgMfiwW0VJrmm0iZWVq+kuqCa1TWrKXOVTUTUJSR+cewXPLPuGSwmkVHJkWOyczJJWZwIEvkEsYTI9ThNToYTw/xo0Y9IK2lubb6V9YvXc2DoAJNckzBrzWi1guB929bbeHjPw6ioSJLEaHyUQDyAy+yi0lHJE2ueoMhahEVv4YWLXwBVpG09Zg8WvYWNezayo28HWbIsKFnA6dHT5PI5JhVMwqgz0hnopM5bx28u/w3rJq/DrDdj0VmosFdg0VgotZXyzvF3cBgcFJgLsBqsFFoK0Wv1VDuqhbZAUXmu4zkmOyej1+pJyklsJtEe/2zJyBh1RrrD3cwqnMUdLXdwxH8Ei8FCIBmYyPD4Ej6q7FVc8+dr2D+0n6bSJtZOXivmWTJjlHzjd2zS30hk2hTBwLXbxVT0+Li4olx9tThh22z/L4Tn311er5gANZvFUeyyy0QB6NP5jlROxy/if8ey6b+hof4yXrz0RVbXrKbKWcVYcox/Pf2vzC2ey+6B3ZwePY3X5mUkOTKBe1tYtpBqRzWVjkqe3Pck6VwaRVX4pPsTNrVtIpvPcjx4HDMipm7WmbEb7JRaS1lQsYDOkU5BokKD2+jmfPg8q6tFkWtu8Vx2D+7GZXWRV/MY9UY6g53IyIylxfH+hsYbKLIVYdaZcVlcjCfHORs6y0uXvMSymmVYtVZMBgHyKTQV0h/pp9JRyYPLH0RRFfb07yFHTqQuMzEkJKa6RZJzPDWOPykmQc16M6OpUcYyY0hIrK1dyyuXvYJO0pHNZznkO8TB4YP8+eyf+er0r6JBw1hyjFAyhElrwh/zs6t/F0srl9JS0YJZY8afFHfqHDkcOgfo4KDvIMOxYe5fej/PtD8DKmzYuYE7ttyBoioMR4d5+bKX0Wq1FFoKcRgcE26VQCxAKp/iqrqr0Gl0BGIB7t1xL9FMVLhhgHVT1rF60moiqYiIuGdjWLQWceVIjZDL5/DFfOzp30NeyWPWmjnsO8xbR94ikUsQjAVJykkycoZUPkU8Hee7dd8llo2xceVGim3FFFmK2D+4nxmeGaTlNFE5ikPr4BdHfyHk2ZKFn37xp1Q4K1i/db3YZCQ9a2rWkMllxPzMth8TzoapcggeqElnIpEWMf3jI8eJ5+LoJT21hbXcsugW7AY7rRWtRKvaSBWNs2WbVdTxIhGRt6qoEEXRd98VkYpZs/4quid/vUujEcMsbW2wcaPYaSdNAknil57rWKA5yMGv6TG6Paz/ZD27+3aze2A3sVyMT3o+4XTwNOub15OSU4zFxxhLjaHT6FBUBVRorWrlmXXPoNFoRII0ESanCFDwympxh02TZm//Xu5bdh+XTr0Uo07kCWxaGx6zB6veisPkwGa08Vrna0xzT+Nw4DC9471oJTEC7jQ5WVOzhpXVK3HoBN5u456NqKrKZNdkxhJjJJQEfdE+7tlxD8dHjpPL55A+/RFJR+iL9uGP+bn9k9upclaRR8wxABwKHMKgMdAx2EGJtQQ5L2NCbDhaSUuRuYiW8hZUVOLZOL88/kvyap5cPodFbyGXyyEjc+e2O1FUhbrSOrQaLbcsuoVYLsb+wf2cCp1iPD1OMp8klo5h1Aiqd1SOkpbTbGjdgNPkZErhFDJZccKb7Z7NYd9hCs2FvPW1t6h0VqKqKgadgVU1q5jumY7HLIbqDBh4tfNVskqWYlsxWSXLWHKM5vJmHtn9CAcGD3DFvCsoc5RRYhHXJ7fFDQr4Yj6cRicmvYkia9HENSuZS7K1Z6sIKqoi+ZvICnGR3WTngd0PkM1keef4O0xyTGLv4F5qC2rpD/eTUTKYJTNOi5Ol1UtZWb0Sr8PL+dB5tvZsRavRTiRb795+NyPJERJyAlVVqbBX0BfpQ4OGVdWrkCSJLFlcZhehVIhyRzmLyxfzp3N/oqWiRXSgIgNMXvMRm6SryLpcopb3WaJ70SJR0wuFxLDjli2f77H6XB/917zsdtFa1evFdJzRKBKB6TQMD/Oy/Q7WPWjmd6YLDIQH2NG3g/WL1zO5YLLoPOT1xJU4vz/ze/L5/ES7MpwOMxIbYXvfdg4MHuB3p35HibWETRdt4tLpl3Lp1EtFZTvQxXhiHI0klIVP7HuCL0z9AsPRYYaiQxTZitBoNBTbilFVIQkyaA0MhgfRouVg/0G0kpbFFYvRSBquW3gdoWSIlqoWZEVmXsk8dFodRwJHQBK5hXJbOZWOSiLpCIUW4T75LPEKoFW1uC1url94Pasnreai2osotZXi0Dm4rvE6smqWjuEOvjXnW5iMJgrNoog5khohK2exaqzsGdhD95hI7A7FhnCZXJQ6S3Gb3HgsginSFxEF0Y97PkYv6cUoeSzAYHSQ1opWiu3FKHkFHWLa1mF0cCp0iuVVywFIK2lyao6+aB8GrYGZnpkksgn++U//TCqXIq/mhQApHcZpclJsK8ZoMLJ60uqJPyuWjjHdPZ2x9Bh3Lb0Ll9nFA7sewBfzUeetY1LBJO5bdh8uqwtZlUnJKdK5NLOLZvPU2qcocZRg0VlYVLEIi95CgaUAj9kjNgPMYkIzGyOuxvnowkds3LMREybOjJ3hRy0/4pIpl7CoahFDsSE6hjvoDnfTHenm7q13M69oHpF0hFuab6HYIobVllcvZ1LBJKoKqphcMJlgIohdb+eNo29MzLWks2meXP0kG5Zs4IbNN3B65DQXwheQJAmv3Uvv1OfpSs3nZM6LXFgI3/ymeBZMJtF2jccFV+arX/1cj9bfdvdkzRohxf1MUeB2Q28veyu+ytfPP0DRvSs4lrlApb2SWlftBNHqsO8wdqOdcCrMq194lYd2PTSRJRiNjZJW0zSWNnI+fJ66kjosegvnx87TVNHEN2Z/g1AyxC+P/5JoJsrugd1YNVZe/9LrbO7ezB9O/IFMPsMdi+/glcOv8Ny65/jdqd+xq38XoVSICnsFoXiItJpm7eS1Au4S6afKWUVzRTMrq1fy2L7H0Gv1WHVWOvzi66BDh04rah4ei0fY0bMZ0oi6ioqKXtJTaCkkLQvF4aKKRbQPtU9IlGcWzuTIyBHy5PFavaSyKepL60nmkrT72qmwV5BX88Qz8QmSVkt5CwPRAQZjg1TYK4hlYyQyCRGsy6eZWziXs2NncVvcpLIpCiwFTC+cTpe/C7PezO///vf0hftY/8l6QskQF9WKvE0yl8SoNZKRM6TlNIUWwcsYig6xZvIarm64mm/87huYDWacRieRTIQfNv6Qh/Y+RKO3EVVVORQ4BEC1sxpJlZhfMn+C4pVTcmzt2YpFZ2EwPogGjbiCxkf+7dpoczPdPR1/zE/XSNcEHT2n5GipbGF3vxhFX1K1BJPOxP6B/URzUQqMBSwqXyTgy1orJ8dOYtFZGM+MY9aaJ3gjWSWLqqrYjDYWVyzGqDOSU3KcDp0mI2fQaXRo0HAhcoFr669lc/dmwpkwLRUtHPIdYlnVMjr9ndR7xd/RydGTjL33Y76WnsQb+y8SBU+9HiZPFuwNk0kUSnfs+A+Rf/938jRAOCEuvlhUjvN5URByufhu4gUs5cOMbdjJgcgJxtJjFJgK0Gl0jCZHcRrFOG80G2Vl9UrWTFrDzZtvRocOg8FAMpfEbrBT46yhK9iFRWdBr9HTUNYg4DDk0CMUfzIyABX2CupK6pAkibHUGJ3+TlorW+kN9xJIBIhmxUPotXqJpWJk1SzPrH2G59qfI5gI4ja7KXeUs39gPw2lDdiNdg75DmEz2MRgUnSEFCmumncV+4b34TF7xIaltTLPO48DQwfwmD2E02E8FqFaMGvNWIyiSn9D4w08vu9xNJKG6e7pIgeRV1hQuoCDwwfF6chaRIGpgOWVy3ml8xUkJHToxMOtZFgxaQXrJq9je9929g/up9JeyWBskBmeGZwaPSVapPEhzFozKSWFXW9nYdlCeiI9BONBdBodS6qWTDBQFVUhI2dwmp3Y9GLorC/ah11r50szv0Qim+Db87/N3dvvJiNnGE2OEs1GsWls6LQ6vjP/O+wf2k+nv5O8mqfWVcusolmcHD3JY6sf48fbfsy9S+/lug+uo95bP/Hnmg1mFpYt5HToNMMxQTZzGV3kydNS0UIql8KsN7Otexsus4tcPofD6CAtp/En/JgwodPryOfyyMg0lDdMyK4nvodLGzkXOofD5GCqeyqHfIdQFRVJK4maikHMYnzmTjHrzIInYhGTqJFMhHWT19Eb6WWKawr7+veRU3LYe0pJ/3wvA/lqrBYJ7rpLaA0+9RCj0wk84P+rMPh31siIeNPpJhBnY+MSf8xdxvfnHuLs2Fk2LN1AKptiODpMibWERDbBWHqMQCyAQWPgw/MfcseWO5CRSZPmmvprsOlt3NB4A6dCp1AR3MmZRTPpj/SzsHwhDp2DxVWLuXjKxdQ4ayi1lRJMBPnz+T+zo3cHJ4IneGL1E5Q5ysireb4w7QtcW38tEhKxRAy9Xk9rZSsbtm9ginsKG1eKQaP9A/txmpy0+9rZ0buDeCbO46sf5/UvvE5ZQRluk1uMdmeTnB87D4i7d4Wjggp7BVaDFVQw6AwYtUbQwFhyDJvBxm9P/RaHySFgwKNH8Fq9IEE0E2U8NU5ezTMSH8FlcvFa52sA6CQdjeWNLK5azKLKRXzS8wm3bb2NvJrnweUPcjp0GovBwlhyjJ9+8acsLFtIma2MtJLGa/Uyr2Qe2/q20RPuISEnqHZWs6d/D21DbSytXsrqSatxW9yMJEfIyBkmuyajQUNKSTGaHOXE6An+eOaPzC2ay0MrHkLJK+IqpoFYLsabR9+k3deOrMqsqFnBZJcI+fWO93LT5psIxoO8ffRtCs2FHPIdYt/APlZPXs262nX0hHsYTYxye/PtPLz8Ycod5Vj1Vo74j7Czfyd7+vcw3zsfWZX5/vzvM5ocnQi5yZJMMpckR46KggpuX3w7lfZKscFqjBRZijg/fp7bWm4TAKVIL3aDHYfZwYrqFRRaCwkkA3isHhaXL8ZisGAz2tBqtDy99mmmuqbi0DvQSBpUVeVM6Awus4sSewm6OWkM1Sd5x36luJa/+OK/MXBtNnE9j8c/12P1t33S2L3733R0DgcEAjy95n0O7olz7gff5ZgjxaVTLyWRS/BJzyfYdDZUVHSSjqsXXM3rXa9j1BpJ5VITHItyRznDkWGMeiN3td7Fhxc+pL2/nVQ+NUGrthqsaFUtLVUtXBi/wPyS+fSM9dAR6MBldKHkFUpsJXhtXtqH2lnfsp5NbZuY45nDufFzNJY2YjPYROX/UzCuy+IikAhQ46zBY/LQGejEa/OKWDwSw9FhZGSScpJGbyOd/k7B2tDZaKps4rDvMA2lDbQNtbGwbCGHfIdwGp2MJ8dxWV1MdU+lY6hDCIozAhzjj/kx68yY9Cb0Wj2RVAS3xT0hMprtEanUXF4kbVNyClmVKbWWUmAqYDQ5it1gF9yN4jns7NuJrIj6QamjFFVVGYwNYsKExWhhLDOGXWfnvuX3sb1vOxa9hQ/PfggakFQJSZWwmqwYtAbR7o77aa1spXO4E7vZzkB0gDJbGQtKF3DEf4T53vmMxEc4EzrDrKJZdAx3YNQZQYWMkmFB6QK6/F3Ul9bTMdxBXs3z28t/S3VBNV//zdfxR/ykSFFoKuSq+VfxZNuTYkz/0/WZTPoz4bZJY0KLllnFs+gKdHHn4js56D/IhbELKKqCVWvlWOgYFq0FVfn0FCqBSWtCySsk80k++uZHJHNJ/ulf/wmz3syDyx/kmbZnhOrBWkilo5Kd/TspshQhKzKtVa2cGj3FpIJJ5PN5jo0c4/r4z/jzwx7aWSzONp8R+EEE25599j98dP7vPGnEYgLrV1YmBEmJBKqs8MqOGVypPIfdaKPcUc650DmunH8levQiNapKyIrMcwefI5wJE0qGsBqsjGXGSMkC3CKrMla9lYd3P0ynrxO7xY7VYKWpvAmn0UlTWRNOi5P9g/tRVdFxOBI4ggED45lxsvksvqiP3QO7cZlcPL7vcewGO2PpMZwmJx0+sSFWOat4Zt0zoleviGvO38/4e3oiPXhtXgDyap7bWm5DkiRMWhP3tN5DuV28KtoMwpx2aOgQta5azo+dR4OGgegArZWt1HvrcZqd+KK+iZzMydBJQtEQw9FhJhdMZmbRTALJgBADWdws8C7AaxWj4adCp9DkNYKqZXSyrnYdNzXeRDARRM2rjKRG8Mf9pJU0J0ZOYDVYmV44HYBIKkIoJuY+LCbLBLErl89xx9Y7eP/8+/SGe0kqSe5cfKdgc2gUfAkfcl5mJD6CHj2HBg9NCJzLbGVYDVZimRhDsSG6/F0c9h3GYrDQMdxBoVVoF1/9wqvUuGoIp8MsLBeYRb0q/CjrP1nPnVvuFAlgstQ4a7il+RaeP/g8Np2N+uJ6nDon/zjjH8mTZyg2hF6jx210k86nSefTnB07S4GpgMf3P85HFz7CF/cRjAQ5HjqOAQNJJUkaoVwwSkYRdMuL4b+OoQ5u3nwzKSXFV6d9ldu23EYyl0Sj0TDLM4tyRzlVjipWVK8QVyMlx0B4gK09W9nVt4v7lt5Hf927nLSW01a8WnQQJ036t+fi1VfFtf1zrL/dTQPEPS4aFX3rJ5/khK2ZXEbl19/p4XyhxMKyhcwqniU8q975E5TwtVPWsrhyMTp0eG1ezHozNq1NmMENViocFcwvmY+Cwq2LbmUsNYbD5KDCWTHByBxPjYMK9y+/n+GYAAuXOkrRokVWZNFm1dqYWzKXvJonnArjC/uQVIl8Po+clwklQ/zm5G9I5pIivCQZ+eO5P2LRW4jn4gzFh+gd7xXtV1TuWnIXvzr5K3YP7GZZzTJW1azCoDVg1Bs56DvISGyEOm8dSl7hdOg0XYEu4tk4dyy+g0wuwzPrnmFZ9TK0ei1aScvp8dMcCx6j3F7OPUvvIZAIMJoaxZfwcXr8tNhkJQmj1kggHuDkyElePfwqV867kv5YP/844x8psZUwGBskko4wGBukI9BBnjzrF69HkRSMGBlLC2yeFu1E8c+EiUAigN1gZ//QfkrsJbhNbqqd1QIanE+Rz+dRNSouizC2mXVmckqOEyMnWFq1FJ1GR1WB4FXk1TzRlIiYv3/+fZ6/+Hlq3bUcDRxFySvoDXqmFU6jN9zLlp4tyMgoKNQU1PDk/ifRS3oWlC3gxOgJ9Do9vzn9G2YXzmZx5WLKbeXk8jnRVrV5RZctFcYoGam0V+KxeGipaaHYUoykkVhZvZJLp1zKsxc/i06vE4IknQU9eu7ZeQ/hVJhr66/l96d+j9vsZiQxwlT3VM6EzhBKhmgub2Z51XIGI4OcGDlBmb2MuuI6ZGQe2/cYvsQg0pzf8br2MlRZFhmsz2oYhYVihulzrL/dTcNuF+rF5mbxRXK7+dfyq2ku3UFgbjWDsUGGY8Mc8R/hzMgZOvwd2I12NGi4uvFqgokgJr2JOm8dC7wLWFqzFA0ajgePM9Mzk5ScIpaN8frh19m0ZhNuk5tvzP4GZr2ZvJoXLUirh/fPv8/6xeu5aMpF1JXU4bV7kZGJpCITMfFJrkk0VzSTJImsihNFNBMFCfYO7J0opubVPA69A6POyFNrnhI5D3L0R/pJykke2vUQgViAReWLBBsin2MkLrISHpMHrU5Lx1AHcl4WA1hxgQR858Q74nqQHKNjuINETsB4Z7tn01DaQDwTZ3P3ZtZMWoPdYMeqsXLF7CuQkUmpKe5svZOvzPwKD698mEw+wy+O/oIZhTP4zenfUGYvQy8JV63X6uWe1nsm/CJVBVW4rW4qHZWsnrKaElsJjeWNFNuKkZEZT44LpeXgflwmF9FslCmuKTSVNaFFi8vmQiNpkJD49txvgwThZJj7l91PibUEf8xPTUENh4fEiD2quEKMJEb4wZ9/wM7enSSzSVxmFytrVpJXReGy0FSIHj3NZc0UGAtIy2k8Ng8aSUM2nyWjZDBg4EToBEPRIcrsZcRyMXJ5weLIKuLUNN0znfkl8xlPjbO/dz/jqXHmFM2hP9LPmdEzPLHvCeYWz8VlcYEiht0AdBodbx97m3AujMfkwawz0+5r5/z4eTZ3b+aj8x9x68e3UmAqYDg2TFpJ0x3pxoyZwdggO/t2kpn1Lu+pl6HU1Ig4/GfEukDgcwfW/nY3jeFhuPxyAVgtKoJ//Ec+ODeL5SV7GE2N0lzWzPHgcUZSI/RF+iiyFDGeGSelpLDoLdy15C7iuTiH/IfoCnRxNnQWu8lOX7SPXf276B7vFn7VuI/nDz5PlbOKGz+6kQNDB8QQmFbHjMIZ/OnMn7jqT1cxv2g+Z8fPEk6EARFdv2nhTfRGepldNBuTTgxTKapCXs3TPtTOD+p+gEVvwSyZsWgsTHNPoyPQQe94Lz8/8nNyqvgmkyQJWZWxGCxIWgmD1kAoEWJv/15SSoqskiWaiVJhqyCuxEGCJ9c8iVYrgmKKquAwOrhj2x3YjXZK7aUi+zF2gn0D+4hmoxwYPMDJkZPs6N5BMp+cIJS7jC7eOvaW6I58qmbIkyecCVNuFxLkUrvggPoTfvYN7aOhtIG9A3tZXrkcX8I3AVUejg+zu283efITr/THR44jIdE+3E48E2dn706WVC6hpqAGVVWxG+wMRAbYsHMD/rAfBYV7d95LVsmyevJqIXtWEmh0GrQaLXazna09W+mP9pNW0sz3zieRS5DMJemN9LK4fPEEcf7U6CnSsqhjzS6azRH/ESrtlRRaClk9ZTVmycy+oX2cCJ5g0+pNeK1e9Dq9qIFpdXQEOuj0d2Iz2ATlS6vncOAwwViQQCLAYHiQ3QO7GYwO4rK5qC+un7DmpeU0C4rFyabWVQswUW9bXLmY1qpWDFoDefL4E34KTAV47B40aMjIGQqnnSU27mLAZxBF0KVLBRrwMwn051h/u5uG3y8i8LkcaLX49ZWcYhoPLv05PfIoo8lRPFYPd7fejT/ux6KzUFtQy9rJa3nt0Gts79tOo7dR3EejQeJZ4W79DIuXV/PoJB3Lqpcxr3ge58fO44v4iKQjvHjJi9R765FVmYySYX7JfO7fdT/T3dPxOry4jC4yZHiy7UnOh85z0HdQFESb15POCZCtw+Tg2fZnySk5smqWrJrl7NhZbDobbrOb48HjVDmqWDd5HaW2Uh5e/jAmnQkpL3EkeIQ9A3uYXTwbnaTDqDNS763n/Ph5KuwVaNDwqxO/Ik+eVC7FUHQIk87ELU23EEvHCMaCGDQGii3FgpFhLZkw1ifVJCoqp0ZPUWIpIZwJk8vncJvcXPXeVSKoRp5iSzGJXIJIJsKSqiXUe8UDsat3l4DoWIt56+hbgOjgRDOi5VxkKRL1GI0NvUaPWW9mPD1OoblQkNQlHXdtu4toNiooZ7JABbaUt+Cxe/BYPNiNIux22HeYPf17kFWZheULWVqzFJ2kE6DkwtmgwvnQeRwGB/sG9tE93k0gGeCJ1U8QS8WIZqPs7d8Lqqi1tFa1MqtoFolcgq9O/ypGg3Cy2kw22ofb6Qp0kcwlMegM4vPQ24mkI8TSMaqcVXz4Tx/yk8t+wqKqRUiqhEYnHr88eYZjw3QGO1lUvoiW8hZqC2vZsHwDl0y5hFQ+hdvkxm6wY9KakCSJnX07CSQDaNBQbivn9kW3k//0h0lrIq0kKG7s5FeNdwkG7tatIovlcPx/1zj+E+tvd9OYOlXMaFgs0NbGn9OrWOjei6nQTp23biKF+fOjP8dpcmLUGXnyoicx6818eP5D+sJ9HA0cRYuWSa5JBJIBRpOjFJgKyCpZhqPiWHhy5CQGnYEfLfoROp2OB5c/yG9P/patPVvZ378fs84s5ixMbq5pvIap7qmMZ8Yxao2YNCYMGgO+mI9INsLrna+TzqQJJoKEkiEmF0wWcFyNGORaO2Utd7beyXh6nFw+NzH3MRAb4In9TzCeGqe5spl8Pk8sE+Ow/zCpfIrx1DiHfYdZVLmIOxffSW+kl629W4lmo1wYv4DVYOXbc7/Nw3sexqQ3sXbKWqYVTiOUDPG9uu8xlhwjlhMAHhMm9OgZS48RS8UmuBrtw+3IssynniWGYkPUumrZ3rOdsyNnORY8RrG1mCXVSxhPj9NQ2kCxTdC3vj3v2xwbOUZzWTPhdJgn1jxBa00rK2tWYtFbKLQUEklFCMQDpFUxLWrSmjBinMiQmHVm/HE/5fZyouko8ZxwrRi1RrSIGs2p0VPUFNQAMJ4Zx2vzsqR6CRuWbhAj8VoLqPD7078nk88I4ZXZQS6fY3P3ZrZ3b6dtqI1HVz7KU/ufEhuZpYSh2BD7B/cTy8Ywao2MpkbRSBruWHwHWTmLy+piXsk8krkkt2+5nR29O3BZXbRWtmLT28TnL5kxa80MxAY4PXqaKkcVP/jzD9BpdISSIcbSY1TZqtBqtCh5RQyVVS6hzF5GPBvn1o9vZSg2RJmtjEWVi4RH2PkLPj7gRTGbxTXd4xG4iL+G7Mlf4D35J0mSjn76tk+SpPn/w6/1SpJ07FMfyl/QR/0Ll90uUGfJJCST/Ikvs/RyFT8JDg4dZHHlYoxaI6urVxNMBgmnw6zfsp7jgeM0lDYQiAdYW7uWKmcV88vmM901nYySYSw1xt6+vTy6+lE8Vg++hI/tvdu5bctt6LV67t52Nx+e/5DWylY2rtrIUxc9RSQTodZdy80f3TxBzc4rIruh0wrNoVPv5LaW20iRYpZnFgoKp8dPC3mPmmfjqo1Y9BYe2PkAGklDQk6gqAqF5kJW16zm51/++YTfVK/VU1NQQ7GlGC1axjPj5MjRPtjO3dvvRi/pubHxRiY5J4nsw5K7eabtGSRVpHwzcoZCSyHratdxMnQSh8kBiOOx0+IUhWG9jRJHCfUl9ZwYOcGyqmX84mu/YPmk5egQE6YHfQcB6Ah0YNaaSaaTXBi/QDQbJZfPYTVYKbOV8faxt2mtaOWKuVfwtVlfA2BL9xbCGTGyH8vEuK7xOuwGO2aNGRVV4Pw0cEfLHeh0Oi6EL+C1eTnmP4bT5GRG4QxMmIhlYngsHg4MHqA73M0Xp36Ra+uvJZaKEUwE2d23m2fbn2Xjyo1UOiuZ4p7C/oH9FFoLsRqsjCaEDNumt5FHbMbvnn0Xf8JPSk5xJHAEq1aIugOJACgiTVvprOS5g8+xqHIReknPtp5tXP/B9Zj1ZmRVZqprKl67lxU1K9Br9FjMFlJKikAswOyi2QxEBlhYtlDQ0lKjzHbP5uTYSeLZ+EQnCiCZTTKneA5Pr30aEPWQ4fgwL136EtWXRditacFXUC4mQoeGRGjtv5vc9Re6S3qA5aqqzgMeAl7///n1lZ/6UP6nfeH/9Fq8GH7/e5IrL2O7tJJJpzdQqyumqbyJq+qvIpFL8ELHC0wtmMpocpRALIDdaKd9qJ07Wu/gG3O+QTwXx2v2cmb8DHny5HI5Suwl/P707yfwdUpeIZKJEEwGyeazLKpYRFpOc8PmG7jl41vIK3nOhs4i50VfvtHbSF4SSco6bx3lznKeWvsUHb4O0TnQi/pGibUEm8HGwvKFvHLoFZK5JGaDWcxFaG3oNDr2DeyjY7CDXx3/FdPd0zk7dha9Vs9Ll74kTgyuaROelnQ+jVlnpthWzMsdLzOaGOXg8EHu2n4XGkkjrgOYOTh8kI7hDlJyir0DexlNCdDuNfXXEE6Haals4bFVj6HT6vjR4h+xsmYlveFebv/kdo4EjiAjM8k1iSJzkSB12yoJ58IklaToVEh69Fo9sz2zMWlNmPQmjgaPcsPmGxhJjPDu2XdZWLaQQDyA2+pm05pN/KTrJyyuXExTRRN69PjiPkrtpbxzQsTTPyt6ooWsnGVv/16MBiNN5U1klSxF1iJKbaXcvvV2Xul8hXQ+zeLKxVw2/TKqndU8svcRprincCZ0hkQ2gT/hJ5AMMN01nWAyiN1gR6vRCjeKqtJY1kg8I1CKc4rnEEqLVO+6aet4dNWjnBo5xQLvAkYSI8wtnouqqowmRgknw6iotA21MZoYxaQ1UWgpxKwzo5f03LH4Dk6OniSWjbFvYB+nR09j19mZ6plKhaMCl8klYEq5LLv7dqPkFfYO7gWg2lHNnKI5JLNJNmzfQOf4Lgyle/lkbAGy1QLl5aKj+DnXf4n3RFXVfaqqjn/67gEEQPj/vysWE1Kkd95ha7ud+fojPDiri1PZQXb07eCK315BOBWm0FJIf6xf3EFNdtp97USyEX7w5x9w5btXUu2o5oVDL9BS3sJC70IyZAjEAuwf2k84FUYjaQgmg2IICoHCO9h/kPNj57FqrSwoXcCmtZsw60RGYiA6wFBsiJyaY7Z3Nu1D7SSyCW77+DaOjxxn9aTVhDNhLp58Mb/48i+wGqycHBEiptOjp2kqa0Kv1bO4ajEpOcVgdJC4HKfD18GZ0BnuWnIXTeVNvHPiHart1ZwaP4VdbydLFovOwmhSVPdlZBRFEWQuSRypHWYHBoMBh9FBkaWI7X3bSWaT6CU9Np2NP53/E3pJz+nR09y0+SbOjZ3jgZ0PACCrMhfCFwjGgwB0DXURSUeYVTiLgfgAWrTUldQxxT0FVVU54j/C8ZHjGPVGFpQuICtnMWMmI2fY2buT9uF2TFoTfZE+phRO4SszvsLXZnyNU6OnWFS5iGgmisfsYTA2yDTPNMrsZfRH+lEVlUQuwerJq3n50pcJp8MUmAqYXTSb+cXz0Uk6bDobS6uWEkgGuKbhGi6MXQBEojeSiUyMe5swMZ4dx66zM71wOoqs4DQ52dO/h4NDB9Hr9CgoGHQGwUpR0kQzUR7d9yjpTJq8mkdBYfWk1ZQ6SkUQzl4ivl6KzJ7+PRzyHWIsNQbAgtIFvHv2XewGO/64n1w+RzAu4Ei5fI5IOsJoepSbFt6ErMqiC5eLMMs9i8f3P85wdJgufxd90T4GI4PMKJxBfuZ7/MLwBTQ+P3zpSwINcezY53q0/k9sGuXAwP/w/uCnP/fvrauAD/+H91XgY0mSDn3qNvmfLkmSfiBJUockSR0jf0n11+cTkufDh/mj7qvYVhwlXVMupiT1NhIkBHxXzjKrcBZZOYtBY6C5rFn4NPQWcmqOM6NnWFa1TJxEkgF06GipasFtcqOgYDfasevtuM1uCu2FAGTJklWypJU0O/t3cusnt2LSmTgcOIwOHbOKZvGFqV/AZXJxyZRLJqrgEhIFpgKCsSAXxi9w99a78cV96CQdOTlHX7gPs97MO197B4/Vw8HhgxOE6zJbmQhtffhDzo2e473T7/HyoZex6Cwkc0kcegcralZQbCtmPDVOgbEAGZmDQwe5edHNFBjFg9VS2UIwEaQv0ocJEapqKm+itaqV4dgwSl4hm88K+bPOwq7eXXQMd1BqE/fktZPWUmAo4KoFVyGrMqdD4n7uNDk5FDjE7v7dGCUjwWSQCkcF1zdczxGfIHlnyLB7YDej8VGWVy/n7NhZrHoroaTQW97w4Q2Cc5oaZ3bRbDr9nWxYsoH+cD9IYNabqSutAxVOjZ7inh334LULZ8j+wf0cCx7DrDXz2hdew2PxEIiLOtWCsgU8sfoJnlj7BA8tfwirUbhRmiqbSOQSuCwu2obaSKpJFFWhqbyJaYXTiKVjWHVWvDYvqyat4qJJF2HWm5lROIOEmmB7z3aGo8PcsPkGhsPDPL7/ceaXzGd98/qJqVaAutI6+qP9tA+38+1536beW49RZ8SgMXBL8y3EMjFOjp6kwFggOkm+dqoKqti0ehM2vY1z4+cYiA6QJ08kE8GitWDSmnBb3Ojn72C//EWyk6bCxx+LUfK/gkLoX+wukSRpJWLTuON/+OlWVVUXIK4310uStOx/9rH/296T0lJR9NFo2GVZy6Lwr7i37hYAkcJEx/0r7seqt3I0eJSckiMYDVJkKaLEVkJGETg1raRlaeVSMkoGX9SH1+5lMDqIkldQcgoZJcPiysUksgli6Rh6SY9Ja8KgM2DVWVlauZRkNkmnv5N1k9fx7Lpn6QqIV+EPL3xIY2kj46lxim3F1Hvr+WHTD3GZBXbvUOAQUwumEk6HGY4PI0kSu/t282bnm+i1eloqWpARntlDw4cYjg+TyqU4MHSAdE60ML8z9zvkyXMocIgOn0Dq5dTcBJFsQdkCXj38KncvuXtilHpp1VLi2TiKpKDkFdoH2/ni1C+yrGoZKTWFXqNHj54nVj9BhbOCsdQY1QXVXDH7Cj7o+QCA5zueJ08eq8HKD+p/QDwTp7GkUUxKrn2cjSsEOevmzTejqApaScvy6uWU2coERdy7kIScIJFLcOUfr+SQ7xDpfJon9z1JShbZk4smX8Sp0CkCiQCqqvK9+d/jZOgkdpOdUCxET7iH7T3bkfMy35rzLXxxHwk5wW9O/IbD/sPUe+v5/p++z3tn3uP773+fVW+t4taPb2V64XSseivHRo6xrGoZMz0zSStpoZRIJ9g/uJ92XztahJrRF/Oxs3cn+/r38f759zkaOIoe4aKd6ZmJXtLTUC7qZFu6t/Bk25PkcjmaypuIZCJY9VaaSpvQoRMqS18HSTmJ1+rlhY4XROpW0nDvsnuxaq3sG9xHKBHik55PaK1spbqgmlXVqyiyFpFVsmg1WortxZwbO4ds7UU2+zkw4zLYsEFoDD7n+i/xngBIkjQP+CnwZVVVQ5/9vKqqw5/+Mwj8AXHd+T+zJIlYMMWw38DuFYPMrG2ioaSBDBlMOhOvHnqVsdQYd7XehdlgJkmS9uF2fHEfZdYyDJKBcns5G3ZuoD/aj9PsxKg1oqgKLrOLi6ZexIPLH+SR1Y/wxpfeoM5bR6WzkpaqFhq8DayuXc01DddMSG6+PvPrvHnkTex6O/0RYQ/7xdFfUGQt4oHlD3AscIzn255nPD1OIpMQRT9JpdRRymTXZJ5Z+wyNZY180v0JkVSEq+oFqUqv6snkMwA0VTSxtnYtrVWtlNnK+PWpX1NiKxG1Eq0Js84MCNFQMB6kbagNi97C64dfx2l0sqN3B93hbpZXLWdFzQpaqwSl/NaPbyWXzzHFNYVn1z1LVUEVH3V/hEbSEMvGGEuOTdytHSYHDy1/SIyhF87k6banUVWVQmshTWVN3L7ldl4+9DJWnZWLai9ibsncCYdsJB0hnovz2uHXRNxf0mGQDEwqmISEmEeZ7JrMZNdkYZvLJsnn8wxGBrl7+93cvPBmoqkoLptL5HwQfI3nOp6jyFJElbOKcCZM33gfPeM9tFa2osriNS6cDJNVBY3sM+jONY3X4LV7cZvcSJJErbuWi6dcLKxnkpackmPv4F5yag5VEa3f5dXLaa1qxW1xC97Jpy1bVRVsk0ZvI4okNsqG0gZ29e2iy9+Fx+qh2FpMnbeO5tJmzo2fY07RHOKpOAPhAR7YJYrgekRN6OPuj9k3sI9KRyVOk5NQIoRRa2R59XJ+9uWfUeOsIa2m0XoP0xmqgbvv/j/yWP1XeU+qgH8FrlBV9ez/8PNWSZLsn/07sBY4/n/gcxI1jRMn6DQvZrbhDEOM8N13v0t3pHviFX/l5JW8eMmL/PrUrwmlQnjMHta3rMeqs3J6/DTT3dM5NXaKeZ551BWJNm1KTokWWHKM9qF2bth8A8t/tpx/+t0/sWtgF+OpcXb27eTA0AG2dW/jps038fCKh0nlUtyx7Q6+N/976DQ6YpkYj61+jDpvHVWOKu7feb84Kcgp6r31vHzZy8h5mRJrCZFUhEQuwV1b76J9uB2DZOBY8Bh/PPNHnrroKVSNSrG1mKWVS0WeZuwcu/t2E01FmV8ynyWVSyi3lwsZj8FGrbOWYksxQ7EhXr/sdR5Z9QgmvYmHVj7EsupljCXHSMpJdvbu5PzYedS8Sk7NsW9wHxk5w6+O/woVlc3nNlNiLUGr0XJ85Dh6nZ5GbyPhVJin2p4iq2Tp8HVwa/OtWPVW2ofacVvcvHDxC8z0zCQjC0JX+2D7hNbyM22AxWARpyi0IIHNYBMpZDnBtp5tfHzhYz448wFHgkeQFVkwUisX8+aRN0kpKUaiI4xlxrhq3lUTpz6rwUpKTk2gDkfiI6ybvG5iXuKzArSsymxcuZF3vvYObx19i8HIoLC/SxKdwU4mOSYxmhglmU8yu3g2Dy1/iHJbOVq9loNDB9neKwBNOo2OX339VyyrWcaBwQPEcjFUScWf9GPQGdjbu5d9/ftI5VIYJAMWvWCP7u3by2h6lAeWP0A0GyWjim5WIB5gWuE0coj6Rl1RHalciu1920W7V2fEaXZyZuwMrx16jbwqiu22qd38Tp2E2tsrovL/QSz+P1r/R1KukiRdCjwLaIE3VVXd+JnzRFXVVyVJ+inwd8BnAlZZVdVGSZImI04XADrgl6qqbvyP/ry/KOUai8FVV7FpRx1HE0V03LyeiukLOT9+nodXPMwP/vwDllQt4cL4BWZ6ZrL9wnacVicjcZHP8Cf86DV6otko0XSUTD4zYYGPpD4lXluLyeVzZJUswWSQL9V+ifcuvIdJYxLEKknhokkX8Z267/Cdf/0OzZXNHPYfRs7LTHNNozvcLZiTSgqzzkxKTk3kSq6tv5ZXOl/BoXdg0BkIpUITvg6rwUo6l8Zj9dBQ2sBwbJh9g/uwaC0srFhIT7gHOS8zFBvCoDHQUiGAMQoKBslAVs1i1BgnWKf7BvYx2zObM2NnkFQJt9UtRtBjI9y7/F4e3/M4MUVwRCsdlRi0BpS8wmhqFKveOqEoaK5o5uDQQQw6UUytK6lDURW8dgG3OTt2Fq/Ny4mgaBn6Yj5MkokMGYwa44Q9PZaOYTfbyefzhONhUqQos5dh0VuwaC2E0iFGYiOkSTPbPZsTYycwaUwYtUbkvExKSeGxeCZStnaDHUmS8Jg9dAY7KTQWEsqEqLRXMp4cFxfsPKysXUnfeB9HR48yyTkJrUZLf6SfImsRsUyM9S3reWzvY1Q4KybmQcbSY/SEe4RkSsljMVoIp8I8vfZpDvoP8o3Z3+D7f/o+gbhALdSX1dM+2M7ymuXs79tPMp+kqbwJj8XDiaAYS9ciJNwWnYVZxbPwx/3MKZ7DYd9hAvEAzRXNDEQHCKfDxLIxdJKOBaULaB8WaVub3obb4qYvIh63+akbCf38u/QH6pEcDqHx+O/maaiq+oGqqtNUVa397KFXVfVVVVVf/fTfv6+qquvTtupEa/XTjsv8T99m/yUbxl+8YjHo6WFf1ReRSju4ZvlttA+2MxQd4pfHf8kDyx/gTOgM58fPo6LisXsYT42TVbO0+9pR8gojyRHCyTA3Lbzps/9Pgokg0wqnkZCFLlFVBU9jnmcee4f3ctW8qzDrzeh1gj4dSAS48o9XElfiaCQNdoOdXC5HR6ADrUaLXqfnh40/xKgz0lwu7OEl1hLePPIm8wrn8ciqRxhLjdFa0cqKmhVIkkQoGSIv5fFH/Wy+sJnB2CAPLn+QuBJne992hqJDeEwCvTfNNY3B6CAWvQWbTlyTrq2/losmXwQqdPo6mVE4g45AB7FcjKwsshXDsWFubr6ZJ/c9idVkxaqzMqtwFuOJceS8zOxiMVE5wZBA5vzYeZGPMTjwxUWK92zoLLt6d3F+7DzJXJI9A3uIZ+IMxYZQUMhr8pg0pgmzejgVptZdSzAeZLJrMjq9GJhL5BJE0hG6RroIxoLo9XrWN69HlmSMGEnn00zzTEOn02GUjIylxii2CqygP+5nIDZAZ7ATEyIxPKVgCl+Y8gXiShyr0YrD4qBjuIOB+ABeqxeDzkCNswaj1shIfISG0gae2PcEWklLpaOSA/0HOOg/SDwXR6fRUVdSh06nI5VLoagKW3u3srtvN19752sMxgTCUdJI9IX7UFWVL0/7MgaDgQeXP8iZ0TOcHj2NXqvn5qabUSQFh8mBoirsH9qPrMqcHBEzGpIk0RfpQ6/V4zQ6cegdFFuLOT16GrPGPEFnm+6ejg4djd5G4oYPCYxMJTBzyl+Ny/Wvc5WVwV13ceqwnjPzunju1JsoiMr/xxc+5o6tdzAaHxWcyrJFhJNhUrKIJzeUNGDSmXCb3QIlnw5wU+NNxDKCPH1h/AJatAQTQYbiQ2TlLKdDp0ln07x59E1meGYQy8YothQzHBsmnhMpxpScIpwKo9fqJ64LFp2FVw+/ykzPTDp9nVQ5qwRSLp/jaOgo/3L8X7AbhH0rmRM07DJHGTcvFN9cFr2F3kgvk1yTWDd5HQu9CzFKRk6GTgJwPHSclJKiwFTAW199i0unXcqO/h2cHj09oVw4PyYM7BISefIksglMWhPvnHqHSC6CP+EnISc4ERKul7HUGDpJR0NZg3B0aCxYdCLwZtFbmFcyjxfWvQB5CCVDBGNBMkqGZC6Jy+BCRkYvCftbVsmyrGYZj6x6BH/CT0yOcShwCC1aunxdRHNRtvdtp8BUIKTQetFlieVivHr4VcZT45j0JuZ55nF2VHRbZGRkVRaDXVYPJp2JMlsZl9ReQqmzlKU1S7ly/pW83vU6cwvnYtaZhdM24cOsM5PMJSkwFtAZ6BTzHZ9mZ+K5OLOKZ9Ed7p54ckxaE+X2cow6IyuqV7B60mpWTVpFMBHEH/aTVJPc1HgT5c5ytJIwvy+uWsyrh1/Fqreyf2i/GFazVyArMk+3PY1O0hFKhZhTMgen0ckszyzyap6XL32ZCmeFsPLJWRK5BPcsuwerwYrb7KbUWcrTa5/motqLsOgtaDVaRpIjjBqD6O2D+M/bRfbkc66/3U0jFiP2u830U8XolNOEEiEcRgcSEgtKF2DVWymwiLbjAzsfwKA3YNAYmOGeQTQbZTQ5Sn1JPWtr1xJKhHjx0IuU2EuY7J5Msb2Yt77yFmtr16JFSy6fo760nqXVSzFrzRPE8rnFc4nlYpTZy1DzKrsHdmMz2Si0FvLCxS/w4iUvitOGRk+xpZjmimY6hzsJxULi9GP2TPBKQ6kQ+4f288iqR5CQ2HRgExuWbOClS1+iylHFL4//cuLVr9BWyMqalTR6G5EQTpDB2CBvdr7J12d+HY2kIZKNEMlEODt2lpScQq/VY8BAlizTXNNIKQL357V6hW8ELQ0lDcwpnCMMYYMH2N23m6ySJZfPUWQpYtXkVTy99mm2927nvbPvkZST1BbUksyLVuV09/QJrGFWzeI2iqh7RslwOHAYu96OEaNoYVvcFNmKKLYU0z7YTjAexJfwccWcK5jkFA4Uu1EIjAxaA0dHjxLLxTDpTNy5+E4sWJAkie/XfZ9sPksgHuDvZvwdo8lRdvfv5sFdD4o5j/ggty26jcumXMayymU8uPxBUtkUB4cPUl9Sz6aLNhHLxOgOd3Nb822cDp1mJDaCBg02ycZMz0wKjAV80vMJnf5OjgeP80nPJ+wd3EsS4Z9579x7SEisrFnJoopFBJNBymxlIpHasxObwcb+wf3iBUNvosRWwovrXhQdp9JGzobO0hfp47cnf8ui8kVUOisxao3M8szi8X2Pk5WzaCUtgUiA+3bdx4qqFRTZinjqoqcwaA0srVmKadJZDky+XExIBwKf69H6m940Og6kcZX30m2NYTfZmeWZRY2zhlp3LcW2YhaVL+JfvvIv3Lf8PhRV4aaFN3F67DQWrfiG02v1E2+vXfoa84rncdV7VzEcFkyGVC6FBg0GjYFOX6cILH3qKs2TJ6tkKbGUUOmoFOAenRU5LzMYGeQ7f/wOV793NQOxAeJynM5AJ0cCR8jKWRZVL2J51XJW1axiSdUS4tk4bf1trKhewSc9n+CP+7EarDy0+yG+8/vvEE6H2dO7B4fZgcPgYIp7CkcDR+nwdzCrcBYZNcONjTeyb3Af3//T91lTs4aR5AjfnvttzHozRq2RtJJGp9OxpmYNT1/8tDC6xUdEPUfJoKDQE+7haOgoGknDWGqMB5Y/QCaXoaKgAkmSODh0kHdOvIOExDWN13DJlEuIZCNU2CuIZqK0+dpQUDBpTbiMLsYyYzgMDrb2bhWSaVUlS3ZCLOQxeyaKsmpexaKz8ErnK0QzUVJKiu/N/x4WnQW7yc5V865Cr9GTyCZ4dO+jJEkSz8V5cv+TFJgK0Epa3uh6g1guxlT3VCFP+vSI/6NPfkQkHeHA4AGePPAky2uWc9Hkiwgmg7xz/B2sBiu9kV6eO/gcZp2ZhRULKXOWUeQoYl//PjqDndQX19NU3sTUwqnYdEJGpEPHVfOuYmHZQkYSI2SUDG1DbUQzUa5pvIYaZw05NUetS3w/9kf6heEOlT+c+QMZJUPHYAdIsK52HR6rh8tnXc4Dyx9A0kgcHD7ITU03EclEqC6oRq/Xs8C7gOs/uJ5t3dvYsH0D/pgfJKidOcbhfL2YCq2t/VyP1t/upgF0JWdxsaGHZ1uEV3Vn7040knBJ5JQcXYEu7tt5H/fuvBebwcY/zPsHrq2/ltOh07hMYlZi78Be/nDmDzyw6wF29uzEbrSTyWc4N3qO3f27KXOUsXLySia5J9FQ2sCL615kVc0qJCSOBo/ypalf4sCQqKQ7TEK2rNfpSeaSOK1O4UcxFrBxpciWJNUke/v2sndgLweHDwocns5EPB9nJD7C9p7tkIecksNldpHOp6ktqCUv5dFoNEwvnM7BoYMTtYbPXtmPjhxlWdUyPGYPm7s301TaxI7+Hcxwz8Br92LRWJDzMl+Z/hXePvb2xGBRSknhtXknhscAjDojqqpSYCqgwlnBVfOvIpwKY9KZ6BjqYNWkVbxz/B10Gh1DsSGmuqdiM9hwGByUWEpIKSliGZF/CKVDaNBwcvQkpfZSbm++nXA6zPfnf5+DvoMTBjKDThR0bTobBp2BldUr+eXJX06Y2t48+iYLShcQToeZ5haj8/XF9cI9I6e5Y/EdnA6dRkLCbrTTWt1KMpdkhmcGRsnI0eBRTHoThaZCDvsPYzfYeWLNE3T6OzHqjDgMDm5aeBMj8REO+w9z79J7WVO7hlnFs7BoLHSHuznsO8y+vn3YTXYMGgOTCybzxtE3GIgOIGkkzoXOYdAZGIoNcfPmm3lq7VOU2ko55DtEMB7kusbruHTKpUxxT2Fr71ZKbCWokiqG8UwFHA8e5/LfXs6Vf7ySGmcNRdYi3jr2FjklR3e4myJrkWC/SoL6lpWzpJQUO7t3Mub4iH2+YtShIaHy+Bzrb3fTsNs5ZGpg5tB7vPb+/WSVLBXOCuLZONd9eB190T4ycoZqZzVl9jJQ4cvvfJlXO18lp+aocFSwt28v0UyUlvIWxlOCtTHFNYX60nqOBo9yUe1F3LP0HsocZfxz3T/zyYVP+N2p3zEYGxSnipzMprZNuEwucfzXGNBLeuYVz8OitRDPxPmnOf9Ea2Urbx99G5PORHOZMI1XOauY7pnOFNcUUtkUZsksev5AhgxmvRmr3opWo6Uz2ClSqLFRDvoOTrxara1eS39MzIP44j5y+Ryl9lIRvEuLQqFBZ6DCUYFBb+Cepfdw68e3cj50ngvhC7za8SoWrYXphdNxm9w0lzejQ0c0HUVG5kdbfiQQgzvvIZsTzI5YLsbiisX86eyfRF3HWsz58fP444I3+lm3zm60AyIEV+WsYkXVCrw2L38890fy5DkycmTCo5KW0zSUNVDhrMBsEAyTz2YeWspbKLWXsmbSGu5bfh86ScfpsdPc1nwbA7EBodbMRnnmwDOCV4qG7X3b6fR30ljaSGVBJU2VTUhIzC2eS4evg6yS5WjwKI/sfoTe8V6unHclGknDq4dexaAz0FTWxKb9m5jums6B4QMiC2S0UWguJKWkSGaSLPAuoDfSS31x/cRDP7toNnaDHbfJjS/q4/VDr6PT6kjn0swpmsPdO+7mTOgMNr1NqDZtpThNTlorW5ntmc2BoQMsLFvI6smrBcU+FqDAWEBCTjCWGOMH9T/gQvgCal7l0NAhknkBdVJUhWDxbk6nZ5DXaj+3y/VvGiy8bFmCePm1nJ35r3jsHmoKatjdL7icOUX8RY8mRsUotqSgqirFtmIiqQgGrQGr0crsotmcGj1Ff7QfCQmb3kZaTmPSmLi28Vqebn8aj9nDSHIEBVFkWt+8nqfbnhay5E9FvRX2Ch5b/RjXf3A9SKJtGogFyJNHgwYZGQ0aagpqGEuOCWO5r4tyh0DJAYwlxsjkxVXBZrCxwLuAnf07KbWVopW03Nx0M7dtvY2V1SsBOBI4QjqXFkrCmtXcvPnmidkHHTpy5DBrzKTyKUwaE7OKZ9Hh7+CyKZcRz8bpCfcwHB1GI2n42Zd/xqN7H6U71I1Oo6PAUkCxpZizY0KSXGQrIp1Lo9FosOgs+GNC65iUk1TaK1FRGU+MU+IoQS/pKXeWs7V3K2atqPhPLZzKocAhbmq8iVcPv4rX7hXaBEsRo8lRqpxVfHP2N9m4dyNNZU1E0qImE0qFkPISJr2J5spm2gbbmO+dj8vkIpaN0THUgdlgZiw1xh0td/Ds/mcpsBYw1T2VUCrEfcvv48o/XElCTlDjEmCfnJJjinsK2/u2A2DX2nFYHERTURJyglU1q3Cb3RwNHKXIWsS6yeu4b+d9KCjUF9UTyUXIKlkGY4M4DA6WVS9jb99eGstFfeIzHURKFi9CZ0JnxEnU6GBJ1RJGEiNs793OnYvv5KG9D2HT2YjLgueyvGo5I4kRXGYX7UPtmPQmFEVheuF0To+dZlH5Im5ouoF3z77LUHSIaDrKaGpUpHDvPk2PdwnV+zd/Lu/J3+5JAwiOGhifFCZHjqHoEL3hXiwaC4qqcO+yewklQ9R568iSpd5bj81oo9ZVi1arZZpnGkOxIY4HjwveJ2DAgMvsQq/qsZlsbGrbxK1Nt5LMJic2jGvrr+WnR36KJEnodDp06IT2wGhje9923vzym7RUtKDX6DFoDdj0Nq5vvJ4aZw12vZ1bm29FySt0+jrRaXQkc0n8cT/RdBS31c2KSSvQoiWdTXPF3CuotFeyac0mQskQH5z/AJfRhdPoJJgMsmbSGi6bdhmxbIy7t9+NjIzb6KaxtJEsWeYXz2dhxUKay5tJ5pMc9h+m1FrKD5t+yPGR44STYUpsJVw69VJmFM3g5qabyeQz2E12UOGQ/xDRbBSXxUWxuRhfwkckFaHKWSUM9LI48SiqwhT3FOL5uCi+jp/l+oXXT6D/ZEXm+Mhx6ovq+bj7Y9a3rKfSLupAV8y5Aq/Ni4rKw3sfxmvzsr51PXNK5jCWHsOis5AmTVbNcmDwALlsjt5wL++efZe2/jby5AVm0ebliQNPkMwnyeVzdPo7qXRW8vbRtwUw2lFOU1kTd7XeRSAWoHu8mwp7BV6rl0VVi0hlUzy6+lFW1azisP8wY+kxhmPDHBg4wBP7n8CiszCvcB4XIhfIKUJXuaJqBatqVvG9uu8hI7OtZxvJXBIZGa/Vi6zIdPg7UHIKNzTegNvs5tIpl7K3T0yYvnXsLSrsFbRUtqBHyKu7/F24LW46fB28fOnLLK5cjEaroSvYxT/X/TO7+nZx+ye3s3bSWg4NHeKg7yA5JUcym0RrGyaglnzu5+pv+qThLlD4oK0Hn3KMt4+8zYnRE5Tby+kY7GBJzRL2D+xnRc0KBqODBJNBqpxVHBg4gCRJlNnLJo7wMwpn0BXoYjQxisssVAJ2nR2n2cmy6mX88fQfsRvtxFIxKlwVzHDPQFEVjo0cI5QIEZfjVNoraaloocvfxfnx81h0FuJyHCNGMmR4ePnDvH38bZS8QjAaZGbxTE6Pnp7we97QeAOvdb7GpjWbuHvb3RSYBQwomAjy1lfe4vn257kwfoH7l93PQb/4RvlRy494aOdD/PHsH7HpbXx12ld5+8TbVNhFXiQri7RrpaOS2UWz0Upazo6d5Vd/9yv6wn3c9vFtDEYHWVy5mK5AF4qsEFNiWDVWvA7vBEbQZrQxEh9BVmXMWjNGvZGZnpkc9R/FrBev8l+Y9gXWTFrDs23PEogFWFKzhAODBzDrzKSVNNWOaroj3SJuzr+1BbVoUVDYtHoTD+56kAJzAYlsgn/52r9wPnSeu3fcjUFrwKQ1kVfzDMeHafA2CEq4Vo8v6qPcWc784vl8cdoXueH9G0iTptRWilVvnbiijqfHmeqeytHAUQKJABqNhrwiRskLrQICpJE0eKwekThNRbCZbMwonMGBgQPk1TwJRXheNWhorWwV8fpogEJrIaFEiDx5MnJm4rRX7ignmUsylhpDReWJ1U/wk66fcCZ0hiJzEQtKF9AX6aPGWcOegT2QB0kjoUFDgbmAe5bew13b72Ju8Vy+Ov2rPNP2DBfCF4Ro3FaK1+rliO8IKyevRJIktt/xI94IPkDrnnsoaVj6v3x2/q88aaSPnSMRkXlv613cv+N+kEDOy3QMdpBRM+wf2E9rVSsdvg46/B30R/vpGuyizFHGK5e+gllnpqmsCSWvYNAYaPQ28uaX3hReT0MBj6x+BL1Wz8zCmSTkBLFkDI/NQ1bOTgSwDFoDjeWi7TmeGmcgOjABDr6q7ipWVq8kSxYNGn5x7BfUOGuE1lBJ0BXoYkbRDGRVZqZ7Jq91voZZa+a59udQUPj23G/jS/i4fMbl/Hjbj2kbbkOr0XLvznvZ37+ftsE27tl2j3iQJTPpXJp3TrxDkbkISZJEkldrYaF3IRa9hRJbCd+c800GIgN87Tdf465tdzG/ZD6tVa10+bsAmF0yGy1aCm2FNJQ20FDawD1L7yGrZHn50peZXCDa0XOL53Jw+CCyIhNNifrHidET/PncnwmlQzRUNLCvfx9yXkiF/mHmP3A0eBSn0UljWSNeq5fWilYAJhdMBmBLzxbsRjsSEjklx3ff/S53bb+LaCbKWFK86pt0JppKm+jwdzCSGEFCothezGhslF0Du/jtqd+SJg1APBUnlUsxEBugfaid787/LseCx+iOdIv5Gb2FjJIhoSQIJUMsqlyEy+JidtFsFpYtpMBcQDQdxaA1IElCe2nVWSkyi2LkgYEDJLNJorL4/Jorm2kqb8KkN2HRWmitaqWmoEbM7Wj0WLVWftb1M2YVzqK1ohWX2cXe/r1UOirZ37+fdC5NSknRUNpAka2IQDzA1e9fzTdmfYM9/Xt4/uDzzCuZh11n59GVj6KVtHQFurCarOi1erJKFk3hGIFZF1Eyre5zPVt/s5uGzzaVklLoLdZRZC3i9MhpVIT2rqWiBbvRzjfnfJNwKgyIV7Tawlr8MT/vn3sfWZVpH2ynN9LLx90f88G5D/jtyd8SSUf4UcuPeLrtabrD3Ty29zFKLCWUucrQSBoGIgN8dP4jtvZuxRf2odPosGiEO3T/0H6+Pv3rtFS08FzHc5wInhBaBK0YC983sI9AIkBDaQOXTLmEamc1m1Zv4nzkvBh5zo4zmhwlnovzk66f4DK6+NXpXzEUHWJe4TycRicLyxby2JrH6A338uGFD9l2bhuyKlNgLpjYvIajwyCB3qDnfPg8qZwwzD2862HmFM3BH/OTVbJ0Bjrp8nVRYC5gfsl8To2eothajAYNOSXHB+c+4M6tdzKveB71ZfXk8jnGEmP0RfoEtVvNTLyq37TwJrZ0byGTzYjxZg3ML5lPnjyvdL6CESO1rlrahtvwJ/zk1TxWrZX+aD+l1lJy+RxD8SEC0QAmvQlfwkcym8Sit2BAxMynuqcyGBtELwm26LTCaaJlrGYoNBdydcPVgDgJOMyik1PtqMZj9fDovkdRVAU9IvwXSARYUrUEm9ZGRhaDaaPxUU6NnhL/DUmDqqhklSyF1kJySo60nGYkNUJKSZEnzwzPDNwmN1cvuJr24XY6/Z1CqKUk6BjuYP/AflwWF9l8luaqZh5a9RAd/g4O+Q5xyeRLiMtxzoyewWPz4DK70KDBl/BxWe1lpPNpFBRe6nhJSLILZ9Ja0UpGyfDSoZf4+oyvE8/GBay5fzefXPgEo3mY0KD030/u+mtdPh84vTJ/PvNntvVuo8JZISxW2SRnx84yEBvglo9vIS7Hme+Zj0lr4ujoUaEFyOeE1EcjBMeSJGE2mPn2/G9j1Bl5aM9DqKg0ehsnko5fnfpV6krqAAFTSeVSxPNx2obaUCWVjJrBZXBNpC09Zg/BVJCGsgYWV4tofVN5EzbJRigVIq2k+ddT/ypab9YSRlIjmDHTXN6MUWNkNDFKIptgduFsFBROhsSY8Y6+HQxHhyfo5kWOIkrsJeSUHBXOCn5z+W946ytvYdFbREjP5MEX8/FJzyf0R/s5HjxOnbeOUlvphM8lr+bpHO4kno0zkhhhKDbEnKI5FFoKkZE5MHiA9Z+spz/aj8viEsLlT3/McM3AqrPy5IEnkZEFiyOv4DSKYNXTFz3NJOckip3FFJoLKbOVYcLEoeFDJJUkT130FPNK5uE2u8WJiTRaSQuI0fW8kp8Yx/7C1C8wFB/CbXELR2y4h4ycYW3tWl685EUsesuEFtEX93E4eJgCYwGpXIrG0kZqXbWiw4WYVv3W3G/x5ZlfZkXNCtoG20graYqtxVgMFgFlzqfY0bOD2UWzqXBW8MDyB9CjFwY1VPQaPbc238qTbU8Sz8SZVTSLVC4lmKVoWVSxiIVlC7Hr7JwZPcP1H1zPUHSIAlMBH/V8RKm1lEUViyi2FjOSGpmAPb91/C2sOiul1lIaShsosZVw0HeQ9VvXs7R6KUXmIjbu3UhrpUg6p7NpDJIBnS1AT8pGLPv5tIx/s5tGd3+KuO4kKUXQqnN5wZD4DNcGYsS5ubSZvmgfGo0GDRpmFs9k38A+jgSOEMvGuDB+gXgujpyTeaH9BXxxnwhAIXFh/AJLq5cyq2gWT7Q9QSARoLKgkmAyiIKgYk1xTiGXz7GiagUF5gIURWHNpDU4jU4sGgsZOUN3uBunyYndYMfr9DKaGOVY8BgyMjt7dqLX6llUsYjyAtFJyeQz3Np8K5fPvpwKZwUrqlZgNVjRa/TIisyPt/x4oghZU1BDIpOg0FKIQWfg7SNvc+/OexlLjaFFy4WwUAZWOaqoclRx48Ib6fR3sndwL4lsgrSSZjA6iM1ko8pZhdfuFRvn3ocw6AzUFdWRy+fojfSyoXUDpbZS+iJ92HV2msqbOD1+mqHwEIGYmEL85/p/Rq/VY9KZeO2y12jztaHX6AmnwvjjfnxxH4pGYXLBZFRU/uX4vwhbejpMmbOM5VXLaSxrRIsWr9XL8prlSKrEA7seYMP2DSytXEpWFvH2Ka4pmHVmVlav5Io/XsFNm28SpwejDRMCTByX4+TyOaFn6N1BIp+gwlnBTy/7Kdv6thHPxCmxlbCwfCFF1iL2DOxhoXchOkmwXVdNXsUs9yx8MR8/6fwJNa4aGsoa0KBhS/cWntj/BGatmQpHBb3hXtK5tABBmWwc8R/h1Ogp5pbOZSA2gC/h47bm23AYHSQyCVK5FKFUiLahNirsFXjsHtoG26grqeP3f/97prin0OZrw6EXWZ/WylYuqb2EY8FjE9a5VDZFc2UzLquLMfNZAq7Z2Av/CsDCf41rfEBiWTJMsWym3FaORSeo1nNL5pLOpZGQWFi+kNH0KEpeYV3tOp5b9xxHg0fRaXVoJPGlCSVDonWqZtjTtwcVlUgqQq2rFjkvk5bTXNt4LXa9HX/Cj1b6N1r0N2d9k86RTjwWD1+Y+gUACswF3LX1LgLxAJl8hv1D+xmODhNKhjg5epLpnum4LW6yShaTxkQyn2RSwSROjZwim89i1pspthTzs6M/Y2bhTD7u/phvzf0Wq2pWMatoFhISTosTu04Uw+wGO16Hl5cvfZkaZw27+neRzCXFnIOkYUHJAqa4BSNjw7INPN/xPEWWIuYVfjpLko0Lt0bcT7WzmpSc4rFVjzHJOYk5RXPojfZSYi0hGA/y0N6H2D+0n95IL3O9c3l8zeMsrVw6kZEBMWQ2EB4gJad468hbjMRHeGzNYxN0rM9qA6fHT6OX9AzHhql2VGPVC8hvT7iHZE50q2YXzcZtcfPwqodRVRWnycnGVRu5e8ndpHNpMkqGPHnu2nbXxMDXQHSArJwlSRKjwYjb6CaeizOeHp/Iw3z2d/D7k7/nT+f+xJaeLewd3ItOq2PNpDW83vk6k12T8dq9dAW6eKLtCaqd1UQyEb4z7zscDx6noawBm9FGgamApJLEZXQxEh+h2FaM1+YlmoyioDCaGKV7rHvi+/Y3p39DJB0RmD+zC5vextrJa3n+4uepK66j1F7KvoF93L/jfg4MHKDR2ygi96icDZ3ltq23UeuqpcxWxkB0AJdFCKWimShpl48Ok4fY5+Tw/M12T25bn2FX73ucqf8+NoONaDoKqjjS3r7odp4+8DRFtiJGYiPIyLx0yUv84cwfaB9qZzQ1ik1rw262TxyFg7EgGTK4jW6cZieV9kp2DewCwKl3MqNoBuF0mApHBf2Rfu5ffj/vnnmX3f27SWQTRHPRic/ts4h5TsnhS/hYVLaIwdggZp2ZrJIlEA2QJo0OHTIy9UX1dI50IiFh0VpIKAkWlS8ilolRaivFbXazpXsLZoOZYDxIqa2UKe4p7B3Yi0FjoLWqFa1Gy9aercz2zOZo4CiF1kIqbBV0R7pprWxl78DeCZBLnjyJXAKvzUssHUOWZfR6PaX2UmZ5ZnEmdIaMkqGhtIGtPVv56Rd/yttH3mZb7zZqHDVciFwQ4+XOCrQaLalcikA8gIzM0sqlHPIdEmAaJYeMTJWjCr1WT0bOEEvHSMpJyhxlbFy5kUf3PMpU91Sy+Sy7+nYRywltwmhcME2zchaL3kIgHsCis1BkK2IwMkidt47To6dxmB1EEhEMBgPPrXuO3578LcdHjuOP+5lfMp9Dw4eoL62nL9LHSHyER1c/yhtH3iCn5BgcHySNIHYZtAZKbCXM8MwQI/O+g9zYeCNPtT1FS2kLW/q2IOfliWuZ1WBl48qNlDnKeGzPY7T72rHqhF93NDmKhIRBY0Cr1aLT6phfPJ9zY+dEXSw2QImlhDpvHe2D7QJIrRF1t4ayBtoH24nLcbRoKXOUcePCG/nxth9T7ijn+3Xf5+m2pxlLj2HT27Ab7KTlNDaDjcn5izm06UGG+6wTw3X/3vq/snsyPi6hMY8Rz8YJxAPE5bgIi5kLeaHjBRJKAjkv4Kx1JXXc8vEtvH/+fUZSI1gkC3O9cwklQ4wnxjHqjHgdXppLm7lryV3k83mO+I/82x+mQttwG5FMhD39e/BH/YynxvnDqT+QyCV45bJXxIOBHq/VK4hWnpnoNXq0aDkWPMZgbJCrF1wtfCqkcWiFNsCChZ5oD2aNGbNGkMSby5o5O3qWaDaKVW+lY7gDu8k+MZQWTodxGB3cs/QeJI3EvoF97BvYxwLvAo4EjpAjRzARpCPQgdVg5cvTvozH4kEn6Xh67dM4jA7KbGUYtAbSchqdXvhVp7imcPmsy0nLacbT43xl+lfwmD18eOFD7CY7q2pWMck9SQBxqhYzlhojI2fQaQV9a2nlUvqjQiGZy+cod5azuGIxFr2FmZ6ZhJNhwrkwevRsXLmRGUUzqCmo4UjgCPsH9/PoqkeZ7JxMjbOGVD5FIBGgzFomJkRRWVy1mEkFkyi2FXMicIKUkgIV1k1bx//z1f+H+3fdz86+nZRYS8jkMgzHh1lavZTh+DDD8WGMOiMFpgJySk5IqshSYi1h7ZS1eKweRlIjbOnewunR09y75F4e2v0Q4XSYD3o+QIsWE6aJmoecl7l58838w2//gcM+IVw26UyMJEdwGp1iPkWVaaloYXnVcoqtxcSzcW5qukn8t3QmesI9YiZGgkQ2gdPkpD/Sz/JJy3lh3Qvo0DEQHeDB3Q9SaCkklomxrXcbDy5/EIfBgcMoYgu1BaLAn9QNEI8aOBc697merb/ZTUNO5Vh4bJgixYRFZ6HMVoZeq8dhcLCwbCFOvZPphdNZUrUEf8JPPBenvqie2oJamqqaiGaibFy5EaPByNemfY1APEB/tJ/btt5GX7QPm8lGjVO4RSJyRMwnaI3UeeuIK3F+vOXHqKgks0nMejMralbw68t/zbop66gpqKF9qJ3hmKAi2ow2wRbVCXuWRbIQVUSrcl7ZPJrKmjDpTOi0OrJKlhPBE+g04humw9fBYHSQjJwhLosCV17Ns6V7C/fvvJ98Pk+hpZCm8ibG0+PCUq4V9YliSzGRdIRr3r+GQnMho8lRHtr9EMPxYcKpMFpJS4WzAp0kcjN7B/byvfe+R0+kh1w2x/077yeXz3FNwzXE0jE6A53sHtjNNPc0fHEfeTXPeGqcQDxAUk2KKVyDbQKJt2HJBs6MnRFdBoub1bWrcegdWEwWfvjhD1n5i5V8dP4j+iJ95HI5nm17Fq1Giy/u457We0RSNC5YIg6jg1g2xtberYQSIVL5FDcvvJlgQtDRLXoLA5EBjFojR/xHUFEJxoOcGzvHWGoMq9aKisr1H1xPMBakqbyJB5c/SFbJ8tXpXyWWjYEKTeVNjKXG2NG3gyJrkThVSFZ+uPCHpEgRTUd5ZOUjFFuLyZNnXsm8CcRiLp/j6vqrGcuMkVSSPLLqEUodpRwLHiOUChHJRnjx4IuU2cvQaXRMcU1Bp9FRbC3Gqrcyp3gO/rifPf17eOvoW6RJU1dch9vsJiNnuK7hOrb1bWP9J+tBhXkl87i79W7OjZ1DReVwoA2damJq4dTP9Wz9V8mSJEmSnv/0149KkrTgL/3Y//TSWtF+8WJGtGnmeeehlbQMRge5fuH1QkRTsZDd/bs5OHiQ8fQ4C0oWEM6GqXRWTtiy3uh6Q8iW254Scmjp375caTmNWWtmfsl8gXpDy2hilKHYEHaDHYfZQUtlCyaNiVs238Kuvl28e/ZdIqkIewb28M91/ywKcloTyUySnJrjyf1PUmQr4sFVD2LT2PBavXT6O+kOd3PDwhvEYNmnp6ZgKohZEhtVoaWQRFbAkh0mB4XWQjJKBqPOiEajISWnuDB+gesbr6fcVc6S6iWie5MMYtELrF7bUBsvXvIij6x6BBC1l8bSRpZVL+PNL7+JTqMT043zvweAQS9OIb64j87hTj44/wFDkSEWli7EY/Uwu2g2DqODjJIhraQxYaIr0MXXpn2N9qF2tvRu4fatt1NXXIdZLx6qe5bfw73L7mUkNcLMopmoeZVyRzmrJq2ipaqFSDbCssplnB8/z/MdzwMQyUY4MHyAae5pnAgKEZVBa0BB4a3jb6GqKmOpMWrdtVxdfzWhZIiEnGCWZ9bEiUeLFrfVjU6jo8ReQqGtkEg6wjNtz5BIJ3hg1wNcMeeKiY1akRXScppELkG5vZwlk5bwxtE3UFFJKAk2HdhES2ULS6uW0hPpYU7JHGx6G4qs8HHvx5Tbylk3eR0Hhg5M5HwujF+g1FaKgkI0E2UkPsLJ0ZOEkiFuab4FvU7PyuqV5PJCGn7Qd5D6onrScnoirdta3Sra4fkciqqw5cIWHtn7CHnyeO1ebCYTGtX4H15N/qP1XyVLugSY+unbD4BX/jc+9j+1UpkcJxJneP2y1wkmgkQzUUptpXxw/gOGY8PCU6Ix4TQ7kWWZQ4FD9ER6ODR8iNsX3Y7FYGGyazJuk5uG0gYimQjRVBSrzooGDbF0jC9O/SI7enYgSRIpJUVCSTAUG+KmhTfhi/voGOggno/TF+2jN9I7UQDMKTme73ieTWs2UVFQIY6gwGB0kKHYEPdvvx9JJ3IuRdYiEtkED+19iGBUPOReqxdgAjaTklNIqoTH6iEYDzLFNQWPxUOxrRirQeD4use7+dEnPyIlp9jdv5sOfwfFlmIeXvEwjSWN5Mnz086f8rOunwEQz8bRaXVIksTLB1+mL9LHseAxvjzzy7iNbmRFRiNpKLGWsHtwN8XWYhZVLqLELpimRwJHGEmOsHrSai6bchlrpqxhadVSnmt7jjx5EYAra6Yr0EXbYBv7+vfxtd98jZc6XgKEUColp0jJKdoH27kwfoGvT/86bxx9g7qiOtwmN8mcIHZ3DHfQ5mvDrDdT5aiiyF7Eksol1JXUccfiO9jWu42/+/Xf8VzHc0xzT8OutzOaHmVVzSpcJhcvXfoSVp2VOm8deTVPKB6ifbidx1c/zr3L72UgNsBzHc8x3TNduG50momsSDwbx2F08MCyB6h2Vk+8eCwuX0woGcKit3Bo+BCKopBTBfHeYrAgIfHemfcmYMyxTEygCDJRCkwFFNmLUFVxUn3ywJPML57P4/sf58bGG4mlYzR4G+iN9lLjqqHKUYUv7mMwMogGDdc1XofHIiz3093TKbOXMcU9BbNJRzaXF3M6n2P9l8iSPn3/LVWsA0CBJEmlf+HH/qdWOitzdvwkH3d/jKIKFH8sHZsopiVzSdxWN3qNEN6UWksFtEaVeHzf40RSEfoifVw5/8oJuO7Ni27moskXYdVaKbIW8ezBZ1FQkPMyKipGyYiKSnVBNRadhZwk4DQSEm6Tm+5wNwcGD1DpqKTMVsY0zzSay5txmpw0lTZx0eSLqLBXUOospchSRK27lmQuSSKTEA8qMjOLZrJhyQasGiuqqjLTM5OXLnmJxdWLJ0awO/2d+BN+1LyKSWuipbwFh9HB+pb1wqGi5GgubWYsOcY171/DufFzSEh0DHWwq3cXK6tX0lrZytdnfp1oOsru/t0s8C5gauFUbvzwRhRVISmL8edoJspcj2gZ7hnYQ+94Lzv7d4ouiN7KDxp+gITEnr499IR7KLB8OmSWHiclp7h/2f2oqhAc9UX6uHzG5Vh0Fn7a+VNkZCGiMpjpC/fx066fokdPKp+isayR5VXLSWaTExiAya7JGHVGAL4y7St81P0Rmw5sEjMTWoEH9Cf9mPQmhuPDqKrKFNcU3j//Ptm8sLINxgYx6o3k83lu33I7+4f2s7RyKZtWb+L+5fej0WhoKG3AYrAQzURpKG2gy9/Fjz7+EUpewWP1EJeFW7XGVYNJK+ocJr2JR1Y9QpG9iBpnDRfGLzC7aDZWSSROo5ko5Y5yVlStoKm8iQZvAwadAYNkYCAywKHBQ9SV1PH64deRkTk9eppMLsOuvl3s691HhaOCj7s/xqK38FzHc4wlxpjuns7JsZPo0bOrbxf+5CDk9cQy//1zGn+JLOnf+z1/sWjpf1eWpNPoqHRW0uXvQs7LaLVaHCYHWSVLY2kjveFeBiOD3LXkLpZULSGRS3DEfwSryUqRrYhQKoTdYOeenffw4IoHKbYVs3HvRsbT40haSQxA2UvJkyecCotcgSrgw9v6tlFgLkBWRZF1aeVSoukog5FBJFViWuE09Do9175/LV+Z/hWqndW0+9o5NXoKg9bATU2CSToYHeSu1rtEQjQzjt1op224jZs330win6DIWsT+wf3c8OENHBg4QHOFiK5nchmsWiul9lIGIgOMJEewGqw8tvcxgvEgFc4Kbmy+EYvBQmVBJU9d9BRatBSYxXi8UWtkS88W/v63f88R/xGKLEUcCRzhwwsfIqsy9d56NJKGRRWLWF69nDe63qDSLjbCYDJIgbGAlooWHlrxELd9chsfnf+IrJql2lk9IbOe6Z7Jrv5d3Lz5ZvoifSSzSTwmD690vEJSToIkIDYrq1eybso6FpQuIKfmyJHDYXBQYC7g72f/PTqtjjJbGWW2MkptpdS6alHyCs+2PwuAqoju4O6B3bza+SpOk5PVk1bz8PKHuX/F/ewZ2MPuvt0AmLVCszmSGsFpcmLRW/j4vNAEPLj7Qa794Fr0Wj1HAkf4+syv4zQ48Sf8eCwejDoj8Wwcm8EmvhaOMr4x+xsgQUpJ0VTexBtdb9AT7mFrj4AOdQY7qa+op9pRTam9VFDALIKbodVo+dXf/Yplk5exsHQhLqtovzrMDmxaGxaDhXQ+TUJOkCLFiqoV6LQ67l12LwA2s42YHKPEUkJOytFU1oT0KR+0Z7znP3x+/lfrv0qW9O/9nr9YtPS/K0vSasEgmVFQiGVjOAwOTDoTLZUtdI93k5STaDQaHtn7CJ3+TlRFpaGsgVAihEEj2BKnRk5RZi/jk+5PiKfjLCpfRF+kj2g2ykhihEdWPjJxh2woaWBSwSSseivRTJREJsHSSlGZtxvtmPQmZGR+2PRDOoY7qHHWEM/FufIPV4qrADqqnFV0h7u5ZfMtDEQGcJvdbNy9cQKtn1WyWDQWZnnEPIbHJI6g80rmUWQt4vbFt1NgLkCr0UIeDg0fwqgzUm4vJ5FJ4DQ7SSgJal213LtDfHPNKJzBNM80NJIGX8zHnVvvZFvPNnSSaPcqqkKRRThZ9ZKeMlsZw/FhVk1aRSAeEPfnvIJGI65sG1duRKPREIwHufWTW+kOd4uCsJxkX/8+FFVBlVROjp2ccHwoKHxj9jcYTY9iNoq5mlubb8VusnNH6x2snbSWo8GjFFuKhWvWd5CDAwf54Uc/ZJZnFqFkiFgqxt6BvWy9sBV/3I8/5kdCYmbRTBwGh5jsVSXmF8+f2FReO/QaDaUNBJNBtJKWO5bcQYmthJbyFjG9KacoshWhoKDICv3hfoLJIHOL5/LaodfwJXw0lzazf2g/c0vmsmbSGl665KWJ6+x171+HRtLw/LrnmVk0ky9O+SIqKrPcs1g3ZR2X1F6CTW9Dq9EyFhtjR+8OllYsJU+ekyMnOT1ymg8vfEibr42+aB9dgS7Gk+PYzQJzaNKZ0KHj0kmX8sbRN/jN8d+ws38nFsmCmlcZjAyKVnYuQyAZoNhcBhqZye7/fsPaXyJL+vd+z18kWvrPLItJz2J3MwatgYeWP0QilyCbz+KL+WgsayQYD+K1eplROIMHlz+ITqcjmAyil/SEUqGJY+2Dyx+kK9BFVI5y1HdUHPtc02n3tfPiwRdRUWkobeDE6Amumn8VvriP0yOnKTAX4Iv7qHHWcG7sHDaDDS1a3jjyBuOZcU6NnmIwMkhUjtI22AaIlly1o5o1tWsw68x0+bqEwyMlmJSqqpLJZzg1egqXycWx0DGSmSRd/i5GEiNs2LqB0dQoOo0Oj8NDY1kjaTnNYd/hCRcoiPZdX7iPeDbO1u6tADRXNFPlrMKsN7Ny0kqaypswaAyklTSdwU6muabhsQgVpC/mw2awcUfrHRz0HaS6oJpwKkxaSXMyeJKe8R72D+yfoKsrKBMC6kpHJXaDqOFEUhGO+I9QaC7k16d+TV1RHcGkgDU/tPch5hTN4boPruO6968TrUy9BaPeiIRE10gXBq2BUDrEkqolaDQa/Ak/NqONnJyjoaxBnJBGjuAwOvDH/aBCPBcnkRNzLpFMBIfRQaW9ku/M+w737LyHnkgP+4f2s29gHy9c/AKtla1U2itprmzGYXTw8PKHsegtbO3eiiav4WdHf4YJE0OxITr9ndz40Y0cCx6jrqQOSZKY7ZnNo3seZY5nDm8cfQOTxsTZsbOcHz9PSk7xcffHBCNBdHodLouLx/Y+Rl7Nc/nMy/nl8V+KsXSdBYvGwrfmfItMPoNBK8hlK6pXYNQahWmtopV1U9aRV/PIyIwkR4SmMRVhJDEiTpyxcSStcN98nvVfIkv69P1vf9pFWQREVFX1/YUf+59a2UyE4bd/QsQ/yEuHXmKmZyaBWIBgIiimFFGI5+Js6d7C3dvuxmV2UeWoQqPVsKxqGSuqVyAh8bOunzEYHRSjv2YbaGA4NkyhqZD7lt9HlaMKt9mNUWvkraNv0VjWSJWzCo1GQyAe4OzYWZK5JMFEkBKbmJy0aCxUOiqxGWyU28tZWrWUZ9c9y8Hhg4ynxvnW3G9RbCtGVmXSSporZl9BpaOSPCKqbdKbmF8yX/x/Ioab5pTM4fjocf5xxj8SzUQZig7RE+5BQRHUMK2B+SXz0Ut6jgWPYZSMlNnLKHeUc3b0LHsG9vBPc/4Jg07MeRwNHqW+pB630c219ddydvws4WSYRRWLSOVSHPYf5uE9D3PvknsZjA7iMDmoL63n+Y7nmV04m4SSoHOwU6gq0VPqKKXKUcXx4HHxCm4pQs7LFFrFfIFVb6Un3INJYxIJXI2F/kg/g9FBIVLOK/RGegnnhHX9qnlXoaiiFlVoLmTjqo3Y9XYUFOaXzOfk6EmCySBGREx/PD1OTs7xSc8nvH/+fbad38YH5z6gfagdJHjqwFN4zB60aNGgIZVL8dPOn9I22IY/5heGPZOTnx/5Obv7d2PWmXFb3RgxUuIsIZwOM5ocJZaJ0Rfuo9PfidVg5euzvs5QbIjbP7mdBm8DF0+5mF9d/iseXfUox4LHWFq1lAp3BT+o/8EEuT2ajrJh5wY2n9/MLc234DQ5SeaTPL7v8Qm2SKe/k0hGwH5UVFwmF32RPs6OncVj8WDQCD+ww+QQkXpVwihZUaUc8f/u7ImqqjJwA7AZOAX8RlXVE5IkXfOZMAn4AOgGzgM/Aa77X33s5/2cAMxG3f+Hvf+Ojus6z7bx60zvBYNpqATYwA6QIEAS7KS6HNvJ6x5ZseXY6sWSqd6oLlFSJMuWXCRbLokT9yJLFEWxEwQBEiTYK/oMgEGZXs+c8/2xpUm+vH5TXn2/X7K8srFmAcTMkMOZc/bZ+3nu+7ox6V1odBqmu6ZzZuIMG+s30lrVymuHXwNgMjuJ0+TEYXJQ46hh/+B+EgXhAPzU3E9RbhVafxUVi9aCWW/GohdRBJPZSR7d9SjheJj9Q/txm4Vbce/gXt7vf59YJkZOzvHJmZ8kV8zx8mUv89zG5zDrzRSUAp3DnSU6+r7BfbzY8aKoxheSPLDjAWGkKmYwa8z85MRPSBaSZIoZ7my9k3JLOf2x/lJ4UiKf4MToCaSixNsX3xZYPJ0Zm9HGikphhnts7WNcjF7ErDWTL+TR6DRMJiaZyk6x9eJWntvwHL8+82vuaLmDjlAHBq2BI6NHyKt5ovmoEESpOVqDrSgo1DprCcVCPLz7YSYyE4zERzg6cpTPzfkc56LnCFgDOKwOZEWmKdjE4ZHDtNW0ceeyO1lRtQK7wY7VaC2Z4xb6F+K2uCkqRcx6M0FHEI1GQ5WjiqZgE+lCmkvqLsGhc2A32Okc6eT6puvZN7iPX576JQ/tfIimYBP5fJ5Do4eQCzIWyUKZrYzB2CDratdR4a6gyl6FHj1um5u1tWtpCjTx7MZnKTOXEc/H8Vq9WHVW3Ba3yJBJDGM2mLl+8fXYDDYyckZobwxm8RmTY275XNbUrGFpxVLGU+Msr17OkuAShpPD3L9D8D4KcoHjkePs6tvF3e/dzab3NlFmKsNn9eG1eNnSsQWvxYvbKhLiW4ItBGwBXuh4gbHkGF6zl5U1K3lq/VPEMjHkosz+of2oqGICs5Sx5ZItwiiZS5JRMgSsAWZ7ZlOQCtzTdg96LOh0EkH7fwPvyX8gLElVVfWmD+5foKpq17/13P8vhqNcz7HZc9C7yvjc/M9x6fRLubX11tKV48NR56pjMDHI4fBhDBoDFo2FY2PHuPY314ocFElYqfWSnlQuxUhqBIfJgQkT3SPdtFS14Lf6afQ3Mt0tKM9es5dYLkZBLbClYwt3L7+blw6+VNrjXjbjMl649AW0Gi3JfJJVNasE6UujQytp6Yv10TUi3qKmYBPV9mpysshq/fnpn5egLXk5z6rqVeg0Ou5cfieKRiGej3Nz882sql3FvPJ53LXiLtEl8Mzg8hmXs6ltEzly5At5ZI2M3WDn3XPv8urhVzk7eZaTEyfZsmELG+o2sLJmJQ2eBjSSYHFurNvId498F6vWKkRHdh/3rriXSDrCytqVtFa18uqhV/GYPRSVIhPpCTSqhhOjJ/BavSz2L+aBXQ+wa2AXE6kJmoPNnIycJJwIczxynKUVS7ly5pVsrNvI1TOuJp6NE7AG6BnpocxcRlEpkilm2DBtA4+seYQtB7bgMrkoUmSWZxa90V4yaoYvL/wyer2enJoTLWjPDL7W/DVQ4ZHVjxCwBxhPC5v72+ff5q5td/H5eZ9nY91GYWgsqsTTQvZv1Vkx6ow8uOtB/mbh3zCWGkNGZjw9TrmtnGnOaUhInBo/xanxUxQo0DPSw01Lb6LWWcs01zRG06OklXRJdZqVs0RSEWqdtRwYOsCBwQOYtWbuaL2DMnMZ97XdR1bOIqtCsVykyFRmin2D+3hwx4NYjVaUolKK4/DZfHyl6Su81vUaQ4khprunY9VYMWqN9Mf6MWgN/KDnByhZB5iiJajz/+34s/WevPhUlu4fvctvPvlxskaxPG7wNHBu6pwoEEl6wZTQ6rEZbDy65lF+febXbLu4Da9FQE4segt2o51YOsY1i67h1e5XKTOWMZmbRIOGu1rvYlv/NlxGFyOJEQpqgZycQ68RxicVlenu6Rh1RvYP7SeRTRCwB2j0N7J/cD/xXByTzkRbTRvDiWE2r93Mdw99l70De5E0EhadBZfJhYrKHM8c0nKaO5ffyU1v38S9K+7lN2d+g16j5/3e96lwVGDRWTgyegTpg/qyRqNh/bT1vHvxXTbUbaA/2k+RInadnVMTp1jkX4TP6mPbxW0sq1rGvoF9rK9bT/doNyatidGkcKb6bX7ScppHVz/Kne/eidviZiI1gdVgpSnYxK7+XayvW09/rJ/eyV5cZhfjmXEW+xbTE+lBVmVeuewVOkc68Zv8/Orsr0rF0/6pftxmN/FcnLXT1uI0OvnD6T+QVtPMcs3ibPQsOnTCSzJxmmQhySuXvcLymuV84mefoKG8gQNDB0S9Qk6iomKQDJRby4nlYmgQtC1FVRiMDWLX2dFohST+2Ngxprunc3riNEWKVNorSyJAm8GG3+LnfPR8CYNQZi5je+/2Elns6plX87l5n+Omt29CKSp4rB4UVWGaaxo+q4/3Lr5Hc0UzPWM9TKQmcFvcOAwOBqIDJet8RhExGBLiovHgqgd5fM/jbLlkCw/vfpgqaxWjmVHmeedh1psFMqCQpiAXsJlspAtp8nKeK2ZcQTwfp2Owg7ySB8CsM+O2uJlMT5KSU5gGN1Dc+iTHup3MKv8vjmX87zjc5Wn6YgZ06PBYPYTiId7tfZcGTwNPrX+KMmsZuWIOWRZagG+89w3ShbQgkyNO+MZAI8l8kqSS5Pvd36fcXI7daGdV9SpMkomXO19mddVqdvfvpspZJRK9tXo0GtHRUFSF85Pn2d67nTtb7xQGsFyCvlhfqY2blJN0DHXgtXi5+727OTtxFr1OEMunMlM0eBqY7ZmNQWfgUPgQz7c/z4WpC9zwxxvY07+HY2PH8Fg9mLQmDo8eRkJQpFqrWjHrzFyYuoCCwvbe7SQLSS5MXeDUxCk+PefTdIW7GIwOUumoRCNp0EgarHor1zddj9Pk5KqZV7GqVrSLF3gX8PqR13li/ROlrJPH1z3Orn6hyegc7qTMWCa2X8UClfZKNtZtLKWv//rMr/np0Z/yQscLZOSMaIk7qpGR0Wl1lFvLORg6KIqTFgdlxjIKaqF0pe8a6SJZEHvxZ/Y/w6f+6VMMJ4Y5MHAAm8GGzWRjRtkM1tWuE4HWOhN5OY/H7EFCIpFL8PJlL7N++npaKlvoi/XxtcVf48TECR5d8ygbp21kvnc+OVk4Y7VoUVDYWLcRv9XPuclzYnK2V2CSRNdCLsrcv+N+krkkrdWtaCQN9e56dg/spmO4Q8Rm9O4ilReYgkKxwHOXPMfy6uU0BZrIKBlBF7P6KLeUU1SKvNT5Ejklx+/P/Z753vmcGD/BSGqEjuGOUmCUBg1pJU0inSBVSNFS1cLRsaPs6N9R6tLJyCCJKFG9Vs9zG57j/rnPcaleYpbxv8H25L/jqJ9dRqFyDc/95Ws0VzSj0+qEOWz0GPe9fx9DiSGKFFlcuZigNch013R29O9AUUXFWUHBorfQXNGMU+ek3FZONBNlMD7I6fHTZFRhhvpO93d4dM2jTHNPY2bZTApKgfHUOFPZKQbiA2g0GlbVrOLZ/c8ynBwGFa5ffD0P7XyISFJ0Repcdewb3MfFqYtIGonV1asJJUPk1Tyzy2bz7vl3kRVhbjo3eQ4zZhRVoTHYiFarJV1I0z3Wjd/iZ0nFEooIK7pZZ+bc1LkSGMZmsLFlwxaWVi7lxyd+jITE0fGjRLNR9vTvwWPxcGD4AI/te4xKeyVfa/6a0FDIabpHuqmwV/DG0TcoKkUKxQI/OyHS4z/02HSERRfIZrAx0z2TZzueZbF/MXXOOrEP/+ArkoyIKEOtEYfeQSqbIpFLYNKa2N23m5HUCLlijvH0OFpJwGo2tW5Cjx4JSWzPJBWr1orFaCGcChNOhrmy/kr29O/h3vfvZSI1QbWjmgdWPcBc71x8Fh+7Bnaxe2A3vVO9LAkuYWvvVh5se5C+eB8mnYmdfTuZSE9gk2xM5afoj/YznhoX+bKu6Wg1Wj4393Nk1SwyMj1jPQzHhgVcqJhnKjtFb7QXq87KVGaKrJxlWfUyfBYfG+o2cGn9pbze/Tq7B3fTOdKJhMSXF36ZyZSoLc0um00kHcFldNEx3MHhocOUW8sxYwYFzkycwWfxiYtCsBWf00dLRQt2g51GfyMVtgoUFLxmIUkw6U2lNPkn9j7Bd/f8EY9p/COfW3+2k0bQniR8NsE9v7mJ7ee3ky1mMeqMSBqJdXXr2LJhC5fXX85QfIiBxABHRo+gQ8essllIGomANcD5qfMcCh1iYXAhdoOdNz/xJmtr15LOpVFR0aKlrbqNHx37EWOJMfYN7mMwPojVaBUdBYODL8z7Ai6TCyRYW7uWJ9Y/wUudL7G6djWLg4sxaoyciJzAZRJKyZnumdy54k6ag834LD6+d+R7+O1+dBodZycF/t5tc2PRWxhLj1HnrCOVT4lYAq3IAK20VQo3aSGNSWOixlWDx+qh2lHNk3uf5EjoCCBqNS6DC6fRiVlvJpFPEE1HAbik7hLu3HZniaztMrmQJIlZZbOwGC0MJYbYO7SXRd5FgttJAb/Fz3zffIaTw2ys2ygk1ZlxvBYvXaNdLPAswGl0cnvL7ewf2s+O3h08uf5JfHafKAJnk8iKTGtFK9+9+rsiLAiVXX27eLHjRbw2LzpJR0pOUe+qZ03dGsx6sxDhtT3IT0/8FKPWiEVn4flLn0eVVG744w28c+4d7lp+F16rl+9d/T2WVS/j7ORZLk5e5Nn2Z4XYKtZbsrJrdBqavE0sq1pG91g3kirRExF1la29W2mtaKXKVoVW0hKwB7is/rJSLsyH8GGdRsdC/0IG4gP0xno5O3lW4CY/+Apag6iovNnzJq3VojV9ZvIMZcYyUrkUM1wzyKpZJlOTaCQNWq1W6H10JhwmBycjJ+mP9dMR6uDtC2/TGerEordQZirDoBXAjPH0ODNcM0TuitmFmq9lm6eLs7nwRzq3/nwnjZk2RnPlLJtzKUa9EY/Jw9zyuQzHh9k3sI/73r+PMxNnSvu/r7d+nfqyemRFJllIks4L+E1RKdIx1MFocpTfnPkN/fF+skqW1mArfqcfSZIYiA2QLWaZ550HQLYg4LV2o53H9j3G7v7dxPNxuoa7uG3rbVyYvEDfVB8HwwfJKBkaPA3kCjkMOgMHhg5wza+v4cDQAcbSY+g0OhLZBJOZSTGhIRFPx3Gb3Tyw8gGRxVrIELQHiefiqKgk80luab4FgJyS4+oZVxOKh+gKdTHPNw+tRovX7KXCIUKlJSRcZpeAE32gGtzWu414Lk48F2emeyaxbIx3zr1DZ6iTifQEyyuX49Q7meGZwfeu+h5XTL+CnJwTaka0vHb4NZEjmxqne6QbAwYScgKlqJQgyatqV3E0chRZkQklQhQoYNAa8Fq83LfjPuF+NZdR46ph9bTVXDXrKn748R/yiVmfIJQIcTxynMn0JBpVQ89YD62Vreg1elZPW82vTv+KTCFDQRXMjqf2PUUkFeHB9x9klnsWU5kp1tet542/eAOT1kSVvYqn9j/FZHKSeCHOkcgRvBYvbVVtQuimyiTzSa5ZcA1nxs8QToYZTAwymhzlYzM/xlvn3mLvwF4iyQgNngaRyxvuZiA2AMBAbICuUBdHRo+govKVxq+gQ4eKysWpiyAhJu5cgjJrGReiF6iwV7B++no8dg/Lq5YTS8cYSY6IorgKdp2dx9c8ToWtgng2TqW9krQs4igtkgjlPhY5hkFroNZRy2SfwldP9OOY+K+Xkf+3HLZ4CH0hTcWkmxp7DRPZCY6NHWPzms24zW6qHFUgwQLfAirtlQylhphbPpeesR78Vj/r6tYxnBhGURT8Nj9lZmGQ+vDKe2r8FOPpcQ6HD3Nr8610hbvojQp57kR2gqyc5Z4V97BlwxacJif1znqWVC5BQmKhdyHHIscoN5cjIdGf6MdqtJKW01y78Fr64/2Mp8Uycio7hUFvYEffDmRF5oVLX6AoFUvqzcnMZMlVqtPouGHxDcTyMbYc2CImlrYH+G73d/HZfBQKBY6OHqXB28BkZpJblt5CnbuOb1/17RKgqMxaRtAWpHukm6H4ENOc0+ge7eby+stF1yA5TkEV70HAHuBE5ATPH3ger9XL0sqlZAtZDFoD8Wwcs8GM3WQXNGxEULTL7AIVvrb4awzFh1hbsxaD1iDYHcUsqWKK9qF2+mP9HBw6SDwXJ1/MczB0kCumX8FT+57i6plXU+sUgjIJCbvJzq6BXaXYyMnMJG9feJuR1Agek4d1tQLhH81G6Zvq44FdD5Ar5DgzeYY3j75JppDh/NR55nvn47a6AbBqhcZiPDNOma0MLVoh7tr7uCDOf1AM9Vq9/Or0rzBoDKiqSkbOsK9/H2cnzmIzCgiOzyJgzEW1SDKbJGgL8g8n/wG9JHxP4WSYkcQISyqWsL5+PdlClmVVy2iraUOn0TEQFxmvkkbCaXISSUewmW1IGokfHP0Bo8lREnJCsFxSIxi1RoLOIEFbkOcveZ41tWvE1rcwDX2tjNUT+Ejn1p9t94TDh2lothL8zN+ws+EATb4mKhwV6DV6fnP2N9zWfBvf7PomdoMdFZUycxktFS0cGD7AWGqMd//6Xc6On+Wrb31VAGl0BiaSE6SLgir1ITPi9pbbufmdm1letZzucDfzfPNEZN4HpKoKm+hq3NN2D0/te4oL0QtMc06jobwBm170/SUkjkeO0xfro8ZRg6qqhBNh3GY3U5kpVtWu4uzkWZK5JAadgUg6gkEyYNFb0Gq1RDNRvFYvZr2ZueVzeev8W1i0AgTjsXiY651Lvphnz+AesQUqm0mdq650Fbyp+Sbu2HoHWo2WVbWr2N67HQUFn8WHy+QqxQR4LB7meefRGerkqllX8cWFX2QiPcHDux4WE2T7FpKFJEOJIZZXikCoA0MHcJvdIiXNVcNkZpJsPktOFS1kl8FFU7BJFPE0JjRoKLOUEUlHMGqNLPAvoGdUJMIvr1xO57DId9WhY0P9BlFsnjpPb7QXCQmjZMRkMIn822ySVDElUutSk2TkDAatAafJiV6rpy/WVzpc9JIeVKhyVSEXZXQaXSnoerprOl2jXbQEWzgTOYPVZKWgFMgUMtgMNqFE1dlwmV0YtAZShRQmnYn+WD+bWjfx1oW3+NKiL/Gd7u+Qygv2p1lvxqARn6XdaCedE7aG5dXL2X1hNxVl4hhzmVzs6t/FVHKKnJrDYrDw5LoneeHAC4ynhSbk9PhpolkhvFtVvYqfnfwZM9wz6B7pJp6PkyvkSBfTBH84ypMVf8tf/fZV7OX/k7D2v49AAJ9pkuZOC9W4mOmZyYnICTbWbQTge13fQytpme+bj1VvJRQPkS6ksRqsXD79csbT4zx34DnKLeWCOVGUsZlsVNgrUFSFg0MHubftXpoqmoRaU1WQJIlIKkJzsJmN0zfit/gJJUNciF7gzm13AlBtr0an0WHT2+ge6eb0+GlORk4y2zMbu17Qt25ruY0qRxV5WTBBD4UPEU1FhUS4KHND0w1Uu6pZ4F/AVGaKz8/7vHB6qvD5+Z+nxlGDz+ZDK2kJp8LsH9jP0dBRQQXf8Bwb6zdy/6r7BVDYWSNqFxTIKlnyxTxLg0sxSAbmeeeJQrDRic/mw6QzEU6G+cHHf0A6n+bTv/g01/7mWs5Pnef6t66nSJFHVj9CnauOruEusS3RGEjkEtiMNu5svRO9RugnjBgJWoPMLp+N+oHdSFVUJI1EOCmiHzKFDD2jPcwpn4MOHX2xPjbWb8Smt2HW4fUbOQAAwxtJREFUiWLwjt4dJD9wbUpIZNUsc8rnkC/mafA2ACI75R8/9Y+8cOkL6LV6VlSvECtNKBHR9KqeNdPWsDS4FBDt6vHUOPN9goNaYavg9MRpLCYL4WSYqfQUckFmIj2BCRM2g2h/Og1ORlOjfKbhM9j0Nl7seJF4Ls7mPZsZiY0wnh5ntmc2I8kRys3l5OQc46lxNrVtwmvz0jPWQ4oU0WyU7b3bS2jAtJrGZXahQYPb7GYyM4mC6M4ZdUZ+8PEf0DvVy09P/JRKu/B8pgop5pXPQ1ZE9k1kVM/CwVOQ/J/tyZ8eFRV4W6uwT06jGI9yceoifbE+thzYgklrAo1oR3WHugmnwqXiVUNZA/lins/+4rNcmLjAWHqMMnMZI6kRhpPD+K1+wvEwKTnF9X+4nk///NOkC2n2DOyhMdBIhaOCkxMnOTtxlnQuTZmxDBUVu9HOc5c8h0FnQCNpGM+M0xftYyQxwmB8kJORk6hFlYJcYNP2Tei0OlbWrqSlsgWH0UFBFX4Kq8HK+wPv0zfVx1B8CL/Vz+/O/Q4dOjJyhpvfvhkJifm++SyuWIzX7EWv1aNIovX5TPsztFW18fqR1xmNj1JuKeeJdU9QaRMHWtdwF53hTj4z9zN0DHWwonIFc8vnMpWeYiI1Qb27nn84/g+83/c+6XyaRn8jOnQUKeLUO7l3x73c33Y/FoMFVMS2q5hGJ+m4d/u9jGfGceqdpRVTR6iDzqFOjBqRNKcoCma9GZfJhVFjJFFIcCR8pLSym102G62kRVVUToydEFJpo4Nyc3lJZj8YG+S+tvtEkp3WQtdQFzf88QYe2PEAHouHNTVrODF2ogTfKapF0qQ5N3mOWC7GcGKYKnsVHquHE5ETPL3+aZYEl5DJZ7DpbTy3QbRNZUSQVVEqMpIe4ZOzPsmJsRNYdBZ+dfZXSMoHfkwJ4vk48wPzQYVyazlLK5ZyfPw45dZy/DY/z+1/jrycR6/RE7AEcJvcNPobOTtxlmQ+SZOviUQuQXNlM4/tfgyHyUGhWGCaaxrj6XEODBwgkokQy8bY0buDo6NHeXr908TzcZ5c/yQGyUkxZ2G6RcX+Eb0nf77bk0SCx9a9wzsmDZ/fMsLbF97m3QvvcuOSG3mp6yUAjJIRRVXQa/VIqoSkFclj5dZyJEni+sXXc8/2e6h11VLjrCktobNKthQX6LP4yBfzzHDPEIWx1KiQSH9AzzbpTaiqSsAuzHF7B/aKJf5wpxAiaQyCMv4BEi4lp1BQaPI1kZJTXJy8iElnIitnS8la97fdz8udL4tlf2pceDM+YIaYtWYUSREAl2IaLVq8Fi9GnZFQIsQ9K+7hW4e/JVLIhw6wqmYVewf2sqp2FR3DHfitfrxWL53DnczxzOFC9AJOk7CA2/SCsarVaEUMoyzjc4hEtYycYW//Xvw2P4uDi0nmk3QOddJS3VIqWC6vWk7PWA/RbJTWylYA2ofbafQ2ciRyBCNG9DohjNNr9cz3zcekM3Eqcop4Pk48H0eHTqTPSyqZggglem7Dc9SX1fPc/ufoHu4mj3g/JVXCaXYSzwmotKIqtFS1sG9wX+lCcMX0K/irhr/i0T2PkswlaQw0sqN/B9Pd02nwNLCzdyfltnL0kp6CWhA1ng+W/Ro0qKg0uBvoj/UjqzJ2o518Ic/G6Ru5ZtE1/Ojoj/jU3E/x4M4HafCIuM6zE2eZykxxy9JbeKXrlVLSnFVnRdJIKIpCc2UzO/p3iAxXWznJbBKb0UZrZSsnx08iKzKPrX2MnQM7+f2Z3zOSGsEkmTDpTeh1emLZGFWOKhRVEYXQ3vUMvPI1uj6xGdvrb4L9f8DC//sIh2k++zPkjnK++bv72Nu/F4PGwB/O/wEjAtTy4UHksXjIq3myhSwOswNVValz1dEREroDWZG5asZVaNCQVbLYdDZW1qwkYA0QSUfI5rIcGTnCaEooKD/d8OmS3FiRFVwmFzlZAFOS+SQHhg9g1BuZVz4Pj9WD1WCltbqV165+jenu6Tj1TmL5mKBQWb34rD48Fg/pXJrNazYLupUEfqufpJwkW8ySU0RG6A3NNyArwtIOgkkxlZ3iM3M+Q0Et8GLHi+TlPPsH94MqlrB5NU88G0en0XFH6x0s8C8gaA9ydvIsK6pXYNVbcRgc3LPiHkaToxSVIrIskyFDf7wfFZUvN35ZcEiSE7x19i06Q50oksKBoQNYdBZWVK9gMDFIKpdikW8R3SPdDMYHme+Zz1hmDKvWKiYMCSocFdy/8n72D+6nZ6yHsfQYcl4ssT+EFlsNVrSSloXlC7l/x/18+uef5vjocYwGI4v9iwVnopghnouj14qJKFVMcXzsOHklT0N5A3adneNjx3m2/VmiqSgL/QtLEGBFUQTioCjgQOFEmMnUJHsG9pDIJ9CgocJewSLvIk5NnQIJDDoDU1lRe+gKd3H3e4IadvMfb2Y0Ocq2i9s4PXGawdgg0XyUV7peoc5ZhwbhsXn16ldprmgmISdI5VPoJWE0jGfiZOUsI6kRuke6qXfVMxQd4t3ed7li+hWsrlmNCRNBZ5C7lt9FLB1DVoR2ZDwxzmhylM7+MjINZ/j/YpHw5ztpBIMsWmnilNyIOaXSUtWCTqMTV2VELkm5tZxIWmR+GjVGzDqziL5LhNneu51YNlZKIrtn+z3Y9DZua76NH33yRwIhmBEtTp1eR8AWoMnXhBYtPzn+E25pvgWb1oZWp2UkOcJocpRsIcviwGIseiG0Ojp+lFguxpzyOezq3cVDOx/ia4u/RqwQ42L0Ijv6dhBOhXEZXYylx0gWkmzv246KykLfQk5HTrO2Zi3Vjmqq7FVU2avY2rdV5KsqeYwYMRvNWA1WfnX2V0KuLEnYDXYq7BWsrF1JQSmwqXUTR0ePkpNz3PXeXSzyLmKRX+gvPjfvc2gkDWXmMt7seZON9RuZ75tPmb0MgNuab+Pc5Dm+9NsvMZQYIq+KmMJvLP8GGklDqpCixlkjYEhFmdtabkORFOaXz2coMcTxieOEkiFBAFcK5Ao5Hl79MD2RHpoCTUTTUTxmD06rk4yaYTw9zsnISUZTo0IHkRhgoW8hCgpui9CvpOQUrRWtWLQWERWZnWSacxpatExlprBKVsw6M06Tk+HEMA6Dg2QxSW+0F5/VR1tVG80VzZyInMAkmUpYgjJLGXaDnW9e9k1qnbXEc3F6o71U2CqoclaxrHKZiGN0NxBJRfBavKTz6VJeTEEtMLtsNl6rV8SAuqdzeOxwyfz20M6HOD91HoAjo0cI2AKUWcooKAUeXvMwl9ZfKlZNklAsLyhfwBd+/QUG44NkyRJJRni2/VlkRJTCZHqSpJLEoreQvjCDv5zqxPbHrXDuf2jk/8dRUefCZckyogidvcfq4flLn6fWVcua2jVYDVYq7ZViS2GyU24tp6gWySgZTJi4tP5SPBYPkirht/mZVTaLl7pe4q5td2HUGCmoBUyYsOqtRNNRjo8dp8xSht/m54c9P0Sn1dFa2YrdYKe1spWnNjzFmckzJAtJ7lp2F5W2Sl645IWS92EgOoBJZ8JldPHKZa/wo0/8iMfXPE6qmEKPaM/t7N/JdNd0jo0eI16IU1SLxDIx9BrBXaiyV9Gf6Gd1zWpq3DVcu+BaJrOTpZPXYXQQSUUYSYxwZOQINy65ka19W9GpOopKkVmuWXxj+zc4ETnB6mmreWrfU6X388Mc2fahdpYGl3JJ3SWklTTNFc00Bhq5eubVNHgaGEmNsHnPZhrKG7DohcV9tmc2A/EBnu14Fh06jo6JCAi/xY/X7EWj1ZBTcmg1Wr57+Lv8+tSvOTJyBK1GKF51Gh1+i59MMYNDL+IdRpIj2I12zk6eRStpkRWZ0dQoZeYyzk+dp8xWRsAWEKFPH/hSZGTsFjt7+/ai1Wgxa81MZifZMG0DyVyST876JIfDh7ms/jKWVixFp9WhoFBQC8womyF4mx5BCXeZXDjNTsrMZbx8+ctcPv1yAE5NnOLxdY9zMnISBYUjkSOYtCYcOgefnvtpwqkwLZUt1LnrWFe7DrvRTmt1q0iud8/EprOxbto6moPNqKpQ3D7f/jxFpYjb7EYuyhQo8O1D32ZZ5TJBp0dXKlrb9XZW1qwsaW6C1iDScBOXRXZz4dn7YfFiPsr4861pABw+zMc/KXN0yRuEFr0BEqyuXc3h0GHsJjtTmSkkJOSCTEEqELQHmeedx7YL27Ab7ETzUcpMZUSz0ZICtKWqBVmRS1sXDRoUhOPQb/UzlhpjaXApZyfPMtc7lwp7BQOxAQ6GDmLT20gVUrhNbmwGG+FEmKWVS+kZ6UGRFGGHlzNsXrOZFztepD/az4fJ56FECKtkJakm0Ut6llctp6AUOD5yHI/Ng04jVjsnIidYElxCV6hLmMLQUOuoJa2kqXfVc2DoAOlCmr+77O/YNbCLM+NnuLXlVu7efjczPTM5OnqUrzZ+lZ8c/0npNa6oXsHRkaPM98/n4PBB/DY/M8tmUmYuw2KwcGHyAnsH99IcaKZrpIuZrpmMpcbIy3myahavxUtOzmHWm5nuns6p8VPYDDYmUhO8dPlLPLv/WQamBkrBRAUKAFi0FvQaPQ6zg3A8zOra1XSFulBRRUJ8ZQv7BvYJp6taZElwCROZCcbT49Q6a+mL9lHnruPU+CmCtiDtw+1ISEIzQRGP2UMsI1aTr171Kt947xuMJkcJ2AMlJ2hRLoo4gIqFIk/G4CCSiYiEPDmH3SAK3E/sfYLh+DA6jQ69pOcHn/wBd267k9HYKHnyVDoqWVm9kiZ/E3dtvwubxoZer8dutBPPxWmrbuPc5Dlyco7B+CArq1fSG+1lNDFKS3ULw/FhBmODqKgsq1pGz2gPy6qW0TvVW1pNuU1uBuODrK0V2pezk2fpj/ZTZZrJ0AOHGdJ7KbvyMow/+J+axp8eoRD89V+zOLGT6e2zqNa4KKgFukJdNHgbmEpPCQOUCo2VjRRUQbaSFRmD1sBUXsT0TWQnmOOZg4KCXqfHZXKRyqfY1LoJu0EksF0z7xpREPM0cH/b/XSPdDPDPYP2oXZ+d+Z3HA4fxqK14DAK5OBEdoJQQnhL9g3to6AWyBfySEjkcjle7HiRodgQPpsI3pnvnY8BA0k1iUPrQK/R0x3u5uDwQVJFYYbKyTn2Du4lX8gLzJ/WCIqoWZyaOMVoYpSL0YsoRbE9+83Z36DX6snIGV7seJGmYBMTmQnml8/nu0e+y2zPbLQaLXqtnotTF7Gb7AzGB3GZXOSLebb3befdC+8yEB1gODFM0Bbk+iXXo0fPQHyAry3+mgi9NrqJpCPCm5GZQq/R4zF7uHbBtaSKKR7b8xi5Yg6/048RI06TEwC3wU2Vs4offOIHNAfFsWvRW2ipaiFRSBDJREjmk3htXub75hNOhOkKd4mgZjlLb6wXt9nN/oH9DMWGODh8EKfOiVUv8k0sGrHt/DAB7q5tdwmKePUKHl39KPF8HFmWySpZJK1E53Cn6PaEO+iP9pORM+i1emZ5ZvH0/qfpjfXisXhYXr2c5TXL2fTeJibSE+TVPJX2SgwaA9csvIZn2p8pxR4sCS4hmU/iNDoZSgwJ8LNGh1Vn5Uj4CIOJQTQaDYOxQWpdtZj1Zkw6E53DnRTVIu397UTSEVRVxWV0kZcFkKdjsINtF7fhs/jQSTpGLvjQuM9gcJkw7twt0tE/wvjznTSSSRgZYbn5FJOez9A8ex11zjocRgddw+Jq5TA4WBRcxEhqBD16Gsob6BzqZEnFEkyY0Kga9OhJFpL4zD70Gj2nxk+RyCcYSg1xWf1lXDXzKg6OHMRn8dE90i0KjWqeiewEC8oXkFNyaFQNPruPRC6BDqHRmO+dT7W9mkpbJYqi4LP5iOfjpNQUda46WqpaWBxYjMfiwaKzEHAEcBvdJItJ0sU0sipT46xhVc0qFvoWYtKZsOlttFS18NzG55hKT5VETgF7ALfFzT0r7hG5J9Ur2Tuwl4n0BEjgs/roHOpkJDnC0dGjLPIJ8lW6kCYlpwglQgzHhxmKDTGaHmU8Nc6q6lU0BYQoqy/aRyKT4PmO51lXtw6PxcMvz/6SNbVrsBltVDuq0Ut6FvgW0D7UTkbO8PLBl5GQBJIuF0NRFFSNSjQbpdxUTjwfp8JWwS9P/ZKp7BQysiCOaY34LD4AEXqkqlw+XahV0wUBJL6p+SYyhQztw+2ixY0GLVpickyg83QW1tWvEzoJJceNzTeWAMEnIid49+K7VNurmeefJ+pdOqMQ6lmFIGpZ1TIq7BVkihk6wh2Ct4KeZC7J7v7d7B3Yy1hijHJLOa9d9Rrfufo7ojaWnqC1spWlwaUcGDzA4ZHDrKpeRUtlC5uWb+Lu7XejkTRcMfMKXr36VSxaAQ/uj/ezt38vKLA4uJgV1StIy2lkZNwmN1PpKUYSgrLeWtFKY7CR5VXLieaiNAWbkIcXUVF+AldOheZmCP4XulwlSSqTJGmbJEnnPvju/hOPqZYkaYckSackSTohSdJt/+K+RyRJGpYk6cgHtys/yuv534aqskh3hHOnHfQOHBcUcK2eZdXLSgCTg8MHycpZTDoTJ8dOEi1EORQ6RPaDrzta7yCWF1g1l8lFUSkyEB9g38A+DDoDV8+8mtGEWKq6TW4kSaLcXM6c8jmklTQmTBQpcn/b/fhsPlbWrkSWZbrHugklQizyL+KS6ZfQUtHCutp11DprOT1+mj2De9jZv5PR+Cid4U6G48NM5aYwa82YtWYyxQxVjiqOjh5l78Bebmu5jVwhx87+nfzs5M/Q6XREMhHSsjDXDcQHuOPdO0p28eVVyzk7cZbRxCh7+vcgKzJOgxBxjaXGKOQLTGYmqbBVYNabWVa1TKxegCXBJXjMnpJs3igZ0Wq1OA1OiqqQRV+YusDp8dMMxgdL5qxzk+fw2/wk80nKLGXUOGvQSlrKzCJb5ttXfJsN9RuwG+1ISOwZ2MMfTv+BrlAXlbZKNBoNe/r3EE1HWVuzlgdWPYBG0rBrYBdtVW2kC2maAk08ufdJikpR5PEa7TRXNgtnaEUrzRXNFNQCi/2LBU8VHeemzlHvrqelskUgCbIiFa4zLNriDpOw6p8cP4lVZ2WGZwaPrH4EHToMGDg7dZYvLvwia+vW4rf6ySt5ym3lFIpCc3PTH2/CYXRwzW+u4e1zb5OVs5RZylhRtYKPzfoYO/t3Cg2J2UOFvQKzwcxb598i6AgKY+UHtRKL0cKeQfFZGTVGwVx1VmM3i+jGolLkxNgJ9g/vZ//QfoZjw5yKnMI+2MJtE6fRWqxw6NB/+UrjHmC7qqozge0f/PlfDxm4U1XVOcAy4KZ/FYj0oqqqjR/c/vgRX8//e0gSfmkKjxRjWkqEHA/FhjgcPky2mEUjaQjag4ynxnGZXXisHrH/LuYwIZgJvzzzSxYHFrOxfiNNgSYW+BfQHGgmnouzf3A/N7x1AzajCDWqddWSLCQZz4xzZOQIiqKg1+uRkfnxsR8TzUZZElhCVs3i0DlKpPRzk+fYPbhbrEokDQadAMcuCS4hpaSYzEyytHIplbZKfDafEKKhYzg+TKFQwGqwsmtgFy9e9iKra1bTO9UrDkyjODFrHDVISGQKGSLpCNsvbmdX/y6G4kNYjVZkBIt0NDlKNBNlPDWO3qCnwl4hoMtaHaFECK1WS9AW5FD4EDt6d5RazHqtXtRLQgfoGOrAY/ZQba/GqDXit/rpCneRltPYDDYWBxbzs7/6meh4KAp9sT5kRWZ773bu2nYXB4cPksgnMOnEZPv5BZ8nWUhS7agWxU5V5oXLXihFZA7Fh9jeux2H0cGa2jWMJEewGCxEUhEMOuEHGU2PYtaZubXlVrw2L0FbkG91fYtmfzOXzbiM3mgvC7wL6B7pZufATnb27uT2ltsxSAZaKluotFUymZsUxv6izKqqVbx88GVsRhurpq2i3FzOj4/9mJ0Xd6LT6qi0C5p6Ip9gZtlM+qP99Iz2YNQYKVLk6NhRxtPj7OrbxU1v38Tdy+9mMjOJ2+xm18AuhmJDdA53MpYc4wdHf8DGaRuRkUkVUti0NtHpUsTWL5QIEUlF0Kt6jFrBfX2w7UGcRiceiwetVgsTy5hTbEdJpWDduv/alQYi2OjND35+E/jEv36AqqphVVUPf/BzAsEC/ZPZJv+fDpsNXC6YmqJN2UuscwapQorPzP1M6eDrCnfR6G/kyfVPYjPaKCpFYtkYLZUtBJwBZGSGY8Ps6hNmqB39O/jjuT/SOdJJY6CRRn8jJr2JVC5F0BbkSPhISaSVyCeY753P6trVVNoqOT52nIW+hXyz85uYtWbQiM7BsdFjzC2fyx0td3AwdJDJ9CTjqXH6Y/24TW506EjL6dJBlFfy6CQd1a5qvtz4ZTJKhnAizK9P/Zo7tt5B+2A70azIYZnMTTIUG6JjWHBOr114LUadkTneOWjQ4DF7RHHO14RW0rK4YjE5OYfL4uKuZXeh1+h5vv154fTU6JBUiWWVy7h8xuU0BZvIFXMsDS5lefVyBuIDVNmqsBqsTGYmkVWZWC5GMp8smbvCyTA7enewpX2LODkSQwDE0jFyxRyzy2czq2wW45lxPjP3M0hIbOvdxqrqVZybOofT4CQtp/nJ8Z8wkZqgydtEWk7z9davs/3Cdo6MHqE/3s9UaopKhzjRk3nhWE7LaW5+52aGYkPMKZ9DoVjg8OhhUnkhpovn4mgkDQFrgBcve5HfX/g9Ro2Rg8MH6Rnt4ZXLXqGhrIGcmuPr736dW1tu5Wd/9TPCyTC5fE5oQbQwGh8lEo9w3477SOaSnBo9hYrKrUtvxaQ3sap61T+jFTRaVFXl56d+TiKfYCw1RtAaxG6wC2BTIYHb7Gbzns0EbUHW1K5hbf1aysxl+Cw+ojnRji6qRSSdxDT3NOZ653Jm8gxBa5CG8gbubnyWxISfVtsAmoUL4ZZb/t0i6L83Puqk4f+AKs4H333/1oMlSZoGNAEd/+LXN3+Q7/rGn9re/Ivn/qfCkkgmIRaDlhauMm4j1b6EGo2bH5/4MflCHpvWhk1v49jYMe7fcT8VtgpSBcGlOBk5CSpo0ZJVs5j0Js6Mn8Gitwihk97BxehFQcO2B5njnUP7YDtFimjRAkI4JqtyKWOlKdAkMlcLQrRj1VvFlVBRaR9q56FdD3HT4ptYVbMKDRqimShXz7yaGlcNtY5aal21NFc2M5YYo6gWGU+N83z782xesxmNpMGkMRF0BPHZfExkJyg3lQOUGJMek4ffnPsNfz3vrzkyeqTEuRxJjtA91o3H6sFlcokWZHqSB3c9WEIYqqjM887Da/OiKAoXpi4wnBhmmmsaU5kp+mJ9LA4u5pE1jyCrMmtq15Av5rl/5f2gQoWtAqNGbG2sRit7+vfQ6G+k1lmLQTIQk2NYdVY6Qh2EkiF8Fh9DSeGwbQo2UW4upznYTFpO4zV7BaEc8Toun345c31zsRgspPNpdOhQJLGC0aHDqDUykhpBg4ZZ7lls79vOnt49NAYb8dv8HBk9QiwbY2f/TnpjvYymRnli7xMU5AK3L7tdGNc0wu9xevI0AWsAWZG5+Z2bebnjZepd9Wh0omYyyz2LjJoho2ZQFZUKRwULgwtF9snBlykzixZwubUck85ENB8txTY+u+FZZpfPJpKKsL13O3sH9+K1eBmIDYicnWSEU+OnOD1+mvH0ONlCloAtwOnI6ZI2ZUfvDrZf2M62i9u4aelNvHvxXR7+XgeO4Ps4h3ph1y742Mfg7Nl///z5N8a/O2lIkvSeJEnH/8TtPxWfKEmSDfglcLuqqvEPfv0qMB1oBMLA8/+n5/9nw5IIBmHNGjAaudLfTU+0lWJEhP3KyCwMLmQiM8Hn530ek14UDDev2YwqqThNTl647AUeXfOoKJB6GhhIDDCSHGFF9Qo2rdjESGKEPQN7qHHUcGz0mOj/f7B/BigWi5ybPMcT65+gtaJV8B4qWtGgYUFgAeFUmFA8hM1kE7Qmk4un9z/NmckztNW20Rho5O7370aSJBb4FjDbM5sToyfEJKAU0UjCar162moq7BWsrV/LqppV1DprxVYkm/nn9x6JeDaOhMQrXa9w3aLrAMFvMOvMrKhcgUFj4GDoIB6bB7/dz4qqFaypWyPi/s6/y6HwISKpCKcmTjHbMxtFVXj1yleRJImcnGNb7zbu3Honq6tX84X5X2BZ5TJe6HiBpJwkmo6SVtJoJa3QW1j9DCeHKTeLia3J14TX5sWEqRQF8O7Fd8kreTKFDH84+wcODB6gxllDvphnKCFiDVJyCgmJr/7hq6ydtpYNdRt4esPT6DQ6TBoTEhKNwUbcJjd58vTGejFqjCSVJHsH9xLPxZELooDqMXvQffAVToUZig/x1L6naAw0sv2L28kUMhg1Rr44/4uki2lmuWfRPtzOychJmvxN6HQ6xjPjWDVWal21+Ow+plJTHBs7htfqxWl20lrVKlr8igA6L/Iuwm60l/Q37QPtuEwulKKCiko0HWWBbwHLK5djNViZ651LlaOKlJzCarCCChk5U/o8FRRUScVtdmPSmahx1FA8cxUzpu8Smo3KSvD5xCr8Iwzdv/cAVVU3/p/ukyRpVJKkoKqq4Q+yWcf+D4/TIyaMn6qq+qt/8XeP/ovHfA/4w3/mxf+bIxyG99+HbBb3lVfS7Myx0vB9vm+9nVQuhdfipdHfyLPtz6JVtWy7sI3zU+e5tflWvtf9Pb702y+RzqcJ2AOcipwCwCCJTJAn9j7Bsqpl2I12TkVOkSmKE3QiNcFXNn6Fs5NniSQjgqnxAfPi9pbbeXr/0zx/6fNUOCrY9/N9eK1eXv+L13nxwIucjJxkMjuJy+DiROQEiVyCGe4ZeG1edvXvwm1yE3AEKCsKJWZjoJHjkeMcHDrIYHwQVVVZ6F/IofAhllcux6gz0hfrY45nDlfOuJLnDzzPZHqStdPWsn94P+tq15HKp9jZtxNFFSaxhf6F+Cw+esZ6ODB0ALPeTLaQRUUllo2xtHIpgzERYt0X7WMiLTQRLZUtFNUiiVyCaC7KV976ijCgKTlhdbeWoc/pMeqMJR9NKp/i3OQ5fBYfMzwzWFOzhpu33sxc91wuxi4yp3wOh0KHGLMJOb7T7ESv0bOqdhXvnHsHm8FGSk6hqirLKpfxxUVf5Cu//wo7+neQLCSx6wXH4/L6y7HoLPRF+xhODJdqAflCnlwhR8AWIJaJkS0KcFKBAtfMu4Yfn/gxAAdDB3n77Ns8tOshXEYXr3a9CsDJ8ZMiF1cuEM1F+Xrr13mh4wXKbeVsuWQLANf88hqcRmcp7e2qGVdx/477GY4PY9KbGCwMYtQa0aLl8umXs/XiVgqFgpjEtQb+dvHf8tszv2Vv/14sRgsnIyeZSk/hM/tIZBKklBRmrZk3e94s6YVUVSVdSPPVt75KlWU66vn1/KDyp2hqa+GGG+DYsf/y7cnvgGs/+Pla4Lf/+gGSkKW9DpxSVfWFf3Xfv6zIfBI4/hFfz/8+XC4ArjrzHAMvxPGeC6Og0Bnu5FD4EAWlgIREhaOCVD7Fcx3PYTEIvB3Aw6sfLq0enCYnnaFOFvkXcXHqImfGz1Dvri8FSQbtQf5w7g+YdYJKZdKZqHHW0FrZygsdLxDLxrj//fspt5RTaatkPDXOyx0v0xvtRafRMcc9h+6RbsKJsPC+hDs4HD5MIp8gnAjz8OqHeWLdE4RiIY6MHOHR1Y/y5N4nafI3EcsJkZLP4mMgNsDO/p3IReE/eGDHA8iKTFbO8rl5n8NmsHFo6BAHwwdxm914bV5SBQG/OTZ2jBuW3ICCglyQMelMWLVWPBYP5ybPoUoiZ+M7V30HgKJa5GTkJLF0DI/Zg1VvxaqzklNytARb+NjMj7HIv4h6Vz3j6XHcRjfheJhoJgoIlem7F97lYPggj695nP54P8sql1HnrsNj8XBk5AgV9gqKSlFQ0yuWlUK39YgW+LaL27hn+z00+hvxmD24jC6eXP8kKio3b72Zt8+/zXBimGgqWoIMoxVbN1VSCTqDrKlbw8bpG/n+Vd9Ho9Ng19vRoGGRdxFvHH2jVCNSJZVKWyUmvYmsmiUtp1kcWMwLHS8wp3wOoXiIL/3uS9z0x5tIKSkqbZXUuGqwGCy8ceQNhuOCKeqz+lhRswK3xY3P5uNo5Cgbpm1Ah47+WD/tQ+08sPMBOsOdKCiidiLnMBvMjGXGQAMBawCNpOGBVQ9Q46hhTc0a/DY/OTnH+rr11Exdgy8wTO2+36OMjMBdd8HOnZD4aBEGH3XSeBq4RJKkc8AlH/wZSZIqJEn6sBPSBlwDrP8TrdVnJUk6JklSD7AOuOMjvp7/91BVGBuDqSk+EejiD7bPEm+o5+kNTzOWGENRFRYHFmMymZhbPhedpEMn6TDqjEx3TydgD/DUvqc4NS5WGn6LH5vexrmpcwwmBskUMpweP03AHkCPnifXP4msiFrBYHyQZD7J+73vIyHx/Y99n5bKFuKFOGfHz2LUGbEYLJydOEuhWGAiNcGpqVP4bD7aqtuoclQx3TWd5zY+x9ratdQ4a3hk9yNs3rNZZIsqRX56/KdM5iY5MnqETCHD6prVJAoJQsmQ0ECoCnsG9gh3qEbH2rq13Lb1NvYN7cOgN+C3+kUAUC5DW3UbL1/2MvN98/lu93fRoydLlnJrOT/8yx8yyzOLofgQ0UyUt86+xe1v385f/+aviefjhBNhFEmIxk5ETrC8ejkVtgqmslPE8jG2XdxG91g3Ro2RqewURo0RvVZPla2Ktuo2tBot4USYHx79IQ6TqBddnLpIJBXBrDczwz2DdCGNXqPnzZ43CVgDTGYnMegMzPfNZ+20tdS76jk6JnQbz218jt0Du1FlFb2kRyfpGE4Ok1NzVNor8dv8rKxeSa2jlkwhw4baDZybOsd7F97j6f1Po6oqi4OLWVO7hmORY8hFGavOihYtC/wLWFG9guVVy7FoLFj0Fj4777Mkc0n6on2Y9KaS4tdtcBPPx7lxyY2UmcvoCnXhs/mw6WyUmcpKAq5wMswV06/gvlX3Mc09jXgujsvkYiozxXhinNtbbhf+mFySRFac8Av8C9BpdCTlJI/seoT+eD85OUetq5ZF/kWUmco4sbeehbM7MFRUo7n0UlixQtT5PiJP489XRp5IwLXXwu9/DxYL+HzMHXgL/cdvoPrjZmEvLoo21rMbnuUXp35B+1A7qqIyxzeHw+HDyKpcqoEYMJAnX5KVzyqbhUFjoGe8h4A1gF6rp7WilWORY4zGR3lg9QM8sfcJ8nKegF1E6U1lppjhnkEsHyMUC5W0ChOZCa5rvI57tt9DubWcrJxFURSWVCzhcPgwWo2WmWUzOTtxltf/4nXu3n43oXiIlJwquS2vX3w9vzrzK1ZVreKlrpd4sO1BfnH6F5SZy3Cb3FyYusBNzTdx89abS2/Rh/SrY2PHCCVDOHQOkbeiF4Rvr9nL4uBiLDoLPWM9pOU0kWSEIsKCny6msWgFPaxYFCbAVDFVMooFbAHGUmOlVZtJb+LJdU+yec9mquxVnJk4Q6qQ4s7WO9m8ezOqquKziVr6cHIYgE2tm3jj2Bs0eBoIJ4S+oMpRxcWpi4QTYapd1UylptDpdHx54Zd56eBLpbzXVD4lWqmRboySEb2kx2V1EUqEqHPVMad8DiOJkRL0eCAxQLmlnM/P+zyP7XuMjdM2oqJi1Bo5P3Uer8VL+1B7yYiWltMoKFxWfxkqKjv7dlLpqGS2Z7ZYGfWKTJxYLoZZMqPT67AarISSIq64wlaBXqvni/O/yPHx41ycusin5nyKzbs3U1SLtFS20D7cXorhePVKsTX65sFvMpwYJl1Io5E0YvLIJcUK5INRZa8m8mg7HdL/YtH6IGQycOAApNPQ3v7v+k/+LRn5n++kAbBnD3z847BkCWg03L3rUiZ1Ofbc8gxKhTCg7RvYh8vsoi/WVwrLCcfDJZqU1+Ylno3z0mUv8caRNzg9cRoJiYnsBAAGDKXHVjorafA0cHbyLNGsKGIdDh8uIfMcJgejiVGcJifjmfGSIjJoDeIyunAYHRwZPYLH4mEiNVFKbm/0N9IR7iBgDXDoq4f4h55/4Im9T2DSmZhRNoP2wXbhRLWUMZWewmVxsaFuA+2D7fTGerl8+uVcmLyAJEmEEiGyhSyzy2ZzZvIMK2tXsn9gP36bn+ll0zk3cQ69Vs8V9Vfw+tHXkRUZjaQRRHKjSKQvKAVMWhOzy2dzXdN1vNr1Ktt6t2HX2pnrm0t3uJuAI8A87zxOjp8kFAuVzGLV9mrB68xESRaSVDlEm7ZvvA9ZkjFKRrx2L5fXX85r3a9h09uY7ZlNz0gPfrtfLNUTYdZNW4deq8ekNeE0O1lVtYpb3rmFhrIGJnOTPLjqQe58905W1a6id7KXk5MnWVO7RsB6a9fzh3N/YEfvDox6I2PpMRx6By6zi2g6SlbJIisyta5axpPjaDQaVtasBOD42HFC8RBFilQ7qpnmmsbxyHFevuxlHt75MH+z6G94Ys8TLAos4kDoACAQBiatiTnlczgROUEoEUIn6VhWvYxDoUMkZXHlr7BVMJmZxGP2oNfqme6ezva+7aV6RYWtQjBEFAWzwcxIaoS1NWuxGqycHj+N0+Dk8NhhfBYfhshSJr7/ClP+yzHWThPbkjVrwOmE11//SN6TP99JI5GAhx4SNuB9+wA4YFzDXxteZ/GWG8jKWbSSVnQW8nG2922nzllHhb2CY2PHWOhbyGfnfZZn9j/DYGKQWocQbt24+Ea+dehbKIpCMp/k6llXs7FuIy91vkQ4GsZoNIrs2PEzOMwORhIjmLVmHGYHPrOv5O70Wr0lMc6pyCmcJifxfBy7wc7aaWuZ5Z7F8x3PU+eow2wws29I/B82tW7i2Y5naQm2iP2+owJZkYllY8KKnk9h1VtZUbOCnJzj/NR5FvgWcG7yHHPL5xLNRjkcPkyqIDwrda46ZpTNoKgU2dW3q2QW06NHQcEoGdHpdMJenU/TWt3K7v7dLA4u5ualN/P47seZXT6b7Re3szCwUKg9zaJYe3T0KLPKZnFs9BiSKmExWZjKTGHSmLCZbaSyKdbVreNjsz7GjX+8UWS+hg+jqio2o4055XNKV9qAPUAik0DSSNiNdjSShlgmhk6n41ef/hXf7/4+vzrxK5JFcQKurVnL4ZHDwhFaLOC2iI6CQWvApDWJbVU8TAERyHRp/aUAZItZ2gfbSw7oznAnJkyU28sZT4/z+Xmf5/We1wFYVrmMgDXA0dGjFNUi0WyUbD5La3UrR0ePks4Lqffa2rXs79+P1+ZlLDlWeo/NkpmMmqHKXoWKytLgUj4191MiEycdwWv18lez/opfnv0l5WYhrU/mkiVwVL4oSF/RbFT4cKxekvkkPosPx+7HCRyc5CePgOel18T5sHat2J786Ef/Y1j7k8Nuh2uuEVsTtxtsNpaO/p5YuMCxgwm2XtjKb8/+liOjRxiIDeDQO6i0V3Jg6AD5vDCS3fvevYwnhdS4obyBJn8TWw5sYZpjGtF8FD16Vlav5OHdD3PtgmspSAU+MfMTHAwfRKvREsvGMGvMLKlcQigR4vDY4ZLDUkLQsQdjg7gtbrQaLYsDi3EYHcxyz+KJfU+gk3QcHjvM/qH9WDVWNrVu4p2L7zDNOY1Ke6XIJE2Mo9Vo8dl8PLHuCUEIK29g+8XtvN//PqF4iD0De8jLebpHumkfbqcp2ETAFsCsN6OicnL8JB2DIvTZphOBSjM8M1hVswqjwchsz2zGM+MlFa3T5KR9uJ0v/OYLXIheoKAUKLOUcSh8iL+Y+Rfs7d/Lzv6daCUtB0IHSBVTGAwGsvksNoMNl8XFRGqCRcFFnBo/JQjfah6tpKXKUYVJY8Jj8fCNFd9gw7QNmDQmFvkXsX76elqrWplZNpNYLobb4uaR1Y9gNViRFZm22jYuqbsELVouRgXxLF1MsyiwiLH0GAPxARRV4fbW2xlNjtJS1YLT4MRr9XLNomvYNbCLsxNneWDVAyTyCQ6GD6JBQwFhZvybhX9TmjBAYAW3X9jOWEz83Va9lQ3TN+C3+tFKWu5tu5dPz/k0fz3/rzHqjUTTUfSSXoj7QAjq/It5ZsMzRJIR3r/4Pj8/+XNA8FL7p/p5tuNZIqkI8VycO1vvJJ6PM5wcZiI9QTwbJ5qJ4jK78Nv8jKRGUIsqkqQhevhSro3/Eued94DfLyaLpUvFdv3IkY90av35rjRCITGzjo1BsQitrZDN8kDHVYytvoraB3/PA7seoMpexfKq5UxmJhmKD7G+dj1v9rxJvihgMqOpUQwYqCurE9qAQooFvgWMJcY4P3VehESDOHBlmYJSAAnyap6gLYhZZ2Zm2UzOTJwhkUuQl/Mk5SQ1jhpkVSacCOO3+kvRfQt8CzgwfIC26jYavA0EzAGe2f8Mep0o6F06/VIiqYiQXxdlQskQFq2Fcms5E5mJUur9mpo1SEgU1SJHQkdwWwXZ/EMb+VhStDIb3A2cnjotMHpaM5JW4upZV3P9kuu58a0bSRaShOIhCmqBgDWAzWhjLDHG7PLZYqumSszzzWMoMYTX7KU3JtLLMnKG4cQweTlPRs4wmZ0s2d7LTGUkc8lS2nk0G8VldNEb72Vl9UqOjRzDYRaFP4veQigZot5Vj6IqDMeHUVQFr1VsG9PFNDadTeAOKfL8xuf5w7k/sP2igBUF7UEeXv0wd713FzaDjWc2PMMvTv6CP5z9AytrV5Iv5uka7uKS6ZeQkTPs6tuF3WinkC9gNpkx682E4mJ7VV9Wj1bVcnrqNEDJA2TVW0kXBFqx1lVLQ3kDu3t3kygKgvrh8OHSNu9DRGBTsAlVVTkYPkijt5GeSA9WvZUyc1lJg1Nlr6JzuJOnNjzFoZFDHAofwmvx0jMqMl46Q524zW60kpbNazfTO9XL35/4e9I9DchvPkVfbraQGpaVQSoFy5aJlmt7O8z6nyzX/32MjEBvL+Ryolq8ezeMjPC1BQf4xftVnPr1z1lZvZJ0Ic14epy9A3s5M3mGV7tfJV1M47P5WF65nOZAMzIyf9v0t+SKOULJEFsvbuVI5Ag2kw2NpMFr9bKqdhU+u0/QwVBKLIicnGNH7w4KRcE8KLeWc1n9ZZh0JrSSlnJzeekgSRQS9EZ70SK6CdcsuIaRzAiXzbiMgC1AtpCloayBnQM76Yv1MZUVgT/ltnLmeOeAKpLRfvqJn2LSmWgfamf/4H5USWUiLSaUZD5ZSi/3WrycnjpN0BZk7bS1rK5bjc/io2O4A6vByoyyGTyx7gmqndVo0WLRW2jwNCBpJCrsFfisPv5m0d+wf3g/A/EBDo0ewqwzc2r8FB1DHQxGB0nkhBTaY/Jg0pkwaU0oqsKT659kZe1KZpfPZrp7Or1xYX47OXaSIkUmk5Nkc1li2RgqKne03oFJb2JF9QoqHZWkcqkSwUqv05MuprHqrdz13l2lToskSUx3T+cb276B3SB0Gze/czPvXXiPMksZO/t30jncyTzvPNqH2zk7IZSSX1zwRfKSsPI/tOohal21bKzfiFyUGUmPUO2optpejcfiwaa1sbJ6JZX2SkwaU0mpurhysYimGD1OwBZgZc1Kmiuayak5rmu8jlPjpzgzfoYGdwNHIkdQUESRNB5CVmVGkiMcHzmOXqvnyX1PljJbOoY6StuTMnOZiKKIDvCl336Jzbs3c/X0qwnv+zRfrn8Hrd0OJhNMTsInPwmdnbB58787Yfx748930ggEhAKuUBB24B/+ECSJ6nPvs4ZdLH73C7Q45tAcbOZw+DBOkxOnwUlrsJXmQDOtFa2cmjjFhakLLAks4bvd32UsLqrTXrOXVdWraK1oZXn18lK3o8pRRVpJY9QY8Vg8xLIxRpOjAs/nXyhEVpc+T7WrmipHFSPJEcYyY6WMV5veRjKXxCgZKapFntn3DDt6d6BBw7eu+BbfuvJb/PzUz6lz1TG/bD4pOcXamrWE4iGOjR0jX8xj1Vv5Uc+P2Nm3kwW+BZg14mquQ0eTt4mp3BRlpjJ8Vh9ra9fyymWvMK98Hh2hDgGBKeYYig5x+zu387uzv+P631/PlxZ9iSJFpruno5W0eMwecsUcI4kRvt31bdwGof6/buF1NAWaiKQiJal0U7CJKnsV+aJIsnOb3aDA5l2b2Xp+K+9eeBeTzoTP4sNtdBPNiQJpSkmRIYPD5GB55XLe632PQrHAscgxkBAhTBo9AWtA8ELRUigU8Fq9dI90k1eEK7k32kuRomCgSjrmeeeRU3LYDDbaqtp4cv2TnJo4xR0td5CRMyyvXs5rh1+joawBjaThhz0/RKvR4jQ6mUpP4TQ6eXr90xh1RlFH0mhI5pOMJkZxWBygQqW9kjKTQANqJNHdah9oJ5QI4TV7+UnPT4jn4xj1RoaTw3jNXqxaKyadCbPBTHOgmdW1q3Fb3WSLWZZWLEUraWmtakVBKGH3DOxhIDbAodAhllYupa2mTZj5tv+U/IVLWRr4MYnvvwZ/+Zdilf3zn0Njo5g0PqKM/M97e9LWBn19oNPBypVi5TE5ybupFdyu2cJjb+3izhPPMRgfRIsWp9lZypOoddQyzztP7G2HDor6QWacolykrbaNQ8OHRG1ClUASUu1UIYWMTKW9EqveSpW9igvRCzR4GkrglmReEK+PjB6hwdNAd7ibXFEoE/Xafw44LhaL5Io5igj6lsVgQYMGJPhq41d5ruM5tGipcFQQzUbx2/zMcM9Aq9Hy7vl38dl8xLIxcnKOoD1INBfl0vpLWeRbxKO7HsWgM+C3+SkUCwwmBgHYsmELT+57kmwui06rY1b5LHpGewjag0ykJ9hYv5Fd/btwmBxMJidJFBPYdDbaatrY27sXWRKipXp3PYPxQS5GL5YiDXWSDoNkoEiRB1c9yA96fkCds47jkeNMpCYwGUyoiorFYGE8PY5BMgicos5EShZ+nY/P/jhra9fy0sGX6Jvq48bmG/nxsR+Tk3Pki3mCjiBzyuew/eJ2kZoOgkViDTDXN5dMIcPhkcM4DA5mlM1gR98O6tx1jMZGqXRXcs38a+gZ6+FXp35V6ogVKVLvqmfLJVu4Y+sdhOIhalw1yIpMf7yfoDXIZGYSl8klgDiIvNaALcCKqhWsrRXaGAC/zU8kGcGgNTCzbCYXJi+QLCZL/9aamjUMJ4aZ7p5OZ6iTFVUrkBWZq2deza1bb8VusPON5d/gjaNvUG4u52D4IFatlWwxS42rhoHoAOqee/FPzOFC4kHMiiq0GTodrFoFHR1iu/7jH/9PIfT/OMxm8eY4nWJ7MiHapCs2qkS1Jr7003+kPy6Qeh6rWBkoKEKbocjsHdxL+2A7Rp1RaP4LKbJqlhORExQpkilkkLQSt7Xcxrq6dZi1ZjwmDwt9C5njETLokfgIeo2eOncd4XiYWZ5ZHAodYnbZbNH+LGYx681IkoReo2dZ1TLWTVtHwBEotRj1Wj1ei1cEKhnsfLPrmywJLGFJcAmJXIKlFUt5ZPUjXJi8wMmxk7jMLuaUz0Erafn2ld9mvm8+kipxcPgg+4b2CZu1nCKaiRJOhLHoLDj0DurL6rmv7T50eh1xOc7p8dO0VLUQzUZJy2mag82CrKWCw+JAQkItftCadnjRqTrCiTA9oz1suWQLl9RdQqWjEi1aDJIBrVaL3+bn2X3PMhgd5NzkObJyFovBwtzyuSTlJJPpSXxWH3q9nkfXPIpZb2ZT6ybMOjON/kY2bd9EwBbApDPxctfLVNmrMOqM+O1+YhkRy/ghfnFe2TzScppKRyVnxs+wp38PZq1ZTMCSBrPGzL0r7kWj0zA0OcQDux7g+OhxzHpRqFxasZRqRzX3td3H/TvuZyI5gV6np95dz2zPbGaWzWSBT4i94hkRaWDVWpnlnkUoGWI4Mcxz7c9RpMhXm75KMp/EbXGTKWY4OXESi8kihHz2Khx6B33RPkBI110mFyfHT9I+2M79O+7Hb/PjNrl5tv1ZsnKWoyNHafQ28vVlX0dB4VOzP0WNow5d1/U8WfwpxkgE+vthaEhMFn/3dxCJCBnCR+Rp/PmuNEC8QU8+KXrU8+eLWdZggDfe4PFbzvCtnJORz34aEyYCzgATKZHB6ja7yck5rEYriVyC1spWRlIjBG1B9vbvJacIme6NzTfyzN5n6Ah30Bxopnuku7QyaK1sLaXBayUtKirjqXG0kra0InHoHcKwpBaZzExS5ahiyyVb+N7h73F+8jyNgUbCyTD7Bvdxa/OtvNT1EtX2airsFXSHuwX52+Qhnotj1AlBU7IgrlxWnRWdRsfKmpUcGDqAXqtnMj2JSWfCaXIykZ4oibPcFjd1zjo6Q53klJzgdlh8HBs7RqWzkqJSJJQIlcKIdJKOakc1dr1dRBioKrIqU24pJ5qJsqJ6BXqtnj39e1hZs7K0mlBUhZcuf4m73ruL2Z7ZTC+bzlUzruLvj/89JyMnKSgFoukoiqKQVgXT9L62+/j61q8Tl+MYJAN3r7ibbx36FvWuerpGxDFwW/Nt9Mf72d67nSUVS9jbv5clFUsYTY7SF+/DrrWzonYFJyInGE2McmPzjbx66FXyap6N0zbSFe7Cqrdyef3lvN7zOh6TpxTGLBdldFqdSOFLCVGWBiGoun3p7bzU+RKSIpElS5mpDIdR8Exnlc3i9MTp0iqtzFLGUGIILVpMehN1jjqOTRzDrrXjd/ipcdSwf2g/f/+Xf88/HP8Hrmu6jpvfvpmsnGUsNYZRY8RpFljADyM382q+pOEAqLlwHbZfX0+PbiPaRY1w/rwQc7W2iovn5KSA8HR0fKRC6J/vpBEKCRtwNAo33igmj0RC1DmmTWO86zwzkj2svedT7HR0Md83n6AtyHBimM7hTkx6E5IqkZEzVDurme6ezidmf4I7tt5Bc2UzkVQEt8nNscgx5njmMJgYxKq38sUFX+TvDv4diUICm9bGouAiukJdGLQiWe0HH/8BJ8dO8tCuh1hetZwTYydIFVIYMFBmK2MqNUVSSVJlr2J17WoAOoY6WOBbwPbe7SyvWk5nqBONpGEiO4Fe0qNRNeTIsaZmjTBy5VME7UGR1ZGdxGFwcCJyouRqbals4dpF1/J8+/McHztOOBXGbXJzZ+udPL33aewmO5FUhIA9IJLoiyoKCrlijjJLGSadKGYOJYbwW8RqKJKOELAGMGqN6LQ6eqd6xYk443KyclYESieGaKtqK0GQquxVJHIJFFUhXogTtAVJ5VKiQ5Mco8ZZw0zPTHb07UAv6UkVU9Q565hIT5CTc8z3zefE6Aly5PBb/aXAIINeJM9rJA1ZOStWL3YfE8kJYXJDxWv1Uueso76snl19uxhODnPl9CuJ5WIMxgeJZWPYjDZCiRA2vU2c9LEhJCQWeBdwLHIMrUZQxxK5BLIqAD2XzbhMhIMnxkkWxedYVIukC6L1u3HaRp7b/xzpQprFFYupsFeUaOtnJ8/yzcu/yed//XmWBpdyMHSQcks51y64lh8d+xGblm/itq23UZSLZMliwIBeJzivVr0V6w/f4aG+V/lq8adobR9sPxRFbE9sNrHqsNmERf4jKEL/fLcnFRVisujthe98RxSArr5arDZ27qQ8OcTV/r1Ej34eRVbYN7SPwfggB4cPlvalLVUtWPQWRmOjvNf3HrdtvQ2D1sBYaoyL0Yt0jnRi1ppJySkeWf0I8Vycfzz1j5RbyrHqrJRZyzgROcHKmpVUOCpYWbOS7x76Li92vIhZa6bcLByRlY5K0EA0FxWdCVsFyVxSdAgQXMhjY8dwmV0UlALFYpHJ7CQADpOjlEp2PCKkyC6Ti6tnXs2egT18ccEXORQ6xHzf/FJ7WJIk3uh+g1ORU4ylxrBoLbRWtPK9I98jWUwSSUWQkYVS1eTCZXEhSRJui+BR6jQ6Zntm49A6sBltWPVWwcnU6onnBNvzw6tfKBFid99ujFojq6pX0RPqIVPMcH3T9Zj1IlV+UWARtY5asvlsiYtR6ahEQaFjqIM5ZXNYM20Nda46NJKGFy59gXX16zg3cQ6DwUBLsEWsEI1usmqWWWWzmFM+h6WVS2kobyBVTJHOp1lfv56AXUQaTKYn6R7pZiA6UHqtRp1RBDonBW+zraqNj8/6OD//1M9LfqDFwcWcHD9JU6AJv82PUWckKwv9SZEit7Tcws8/9XMqXZW8fNnLLAkuYSw5xsyymRwKHeLR3Y9iMVqocFQwkZmge6Sbdy++y9bzWykUC/xdx99h09voDHXSHGymWCzy6K5HGUmOCM5HsYDb5qbKVoXX5sVtcmPX2Zmr/QsiQzO4tPEUWodTaJMcDtBqoaEBxsfFeZHNwssvfyTT2p/vpBEKwWuviQJoNiscfhs2iG6KwwGbNnGb4fucfecyvhBfQJ2zTsBaJA1rp60laA/it/lpq2mjyl1FhbWCgC2AVqvl8/M+j1UrTpS8kiecDPOtzm+xsmYlRaXI/SvvL/XlUcFusDPDPYOTkZMlaK1Wo2V3/242bd8kEsiLGZSiCPxZElyC1+rlxPgJukJdJHIJBmIDDMeH2dW/C40kev1uo5tULsUjax4p0bUtOgtvnX2L73d/H4veQtAeZEP9BiazkywOLC6Jzt468xZDySGsWiGMmspOMRgbxKqzCg6pZKZrpIuh+JBIepezAlasNyErMkdGj9Bc1cxC30KWViylxlGDSWtiTe0a6svqqXfVU+eso32onVRB0LE8Zg9l9jKC1iD/dPqfSOVTDMYH2TO4hypHFa3VrYylxrhl6S201bSh1+iRFZmj40c5NHJIFB+j/dz53p2cmzhHQk7gMXuYzE1iN9hJ5VMs9C7k/OR5tl3cRiwbw2v1ckPTDUQzURZ4Fwi4b3Url02/jMZAI/uH9hNOhrHpbWyYtoGucBd5Jc9oapT+WD9Os5Nfnv4l6XyaUFy4izWqhqNjR5lKTSFJEkat6KQ8tuYx6tx14jjRaHml8xWG4kPIyBwKHyJRSFBQC6RyKQxaAwDVjmpsehuVzkpyco6tF7YSjofZvGYzYymhh7EYLILiptGxqnYVk+lJ/FYRLh5KhrCZbUz9/vNcJ/2AuiNHYd48cQ7EYiDLwnOSzYJGA1VVcN99H8ke/+c7aVRUwOOPCzFLNCoEXm+/DZ/+tNiqvPwyS9XDLFcPYPr2Sm6t+hTxbByT1sSXG79MnauOQrFAx3AHta5adFodiWyCeD7O4/sex2PzsLRiKYViAaWoUOeuI11IMxQf4henfsGGug18pfEr+Gw+DoUPsW9gH0gIcU6kB7vJzitXvsKGug2YtCb8Nj8uizA3nZk4w9cWf01wMtUiF6YuYJSMVDuqWTdtHaqkYsSIx+yhraaNY+PHqHBUELAGOD95HgWFHf07SBQSfPl3X+Z45Dh1zjoOhw+TLqQ5PXGanJrDaXASL8axGWwcDh1GQsJtcvPax16j3FaOXSeS2PQaPRWOCiodlbTVtGHRWVjgXcDR0aNsv7CdRD5RqgcZtAaua7yOOlcdPeM92PV2Kh2V6CQdnaFORhOjwjPjniEm1Q9GZ6iT21tv59kNz/J8x/PEc3GWVi7lF5/+Bcsrl5OTc0ylRU6NSWviS4u+hIrKdY3XYdQK1apJZ+Li1EUW+BdQaa/kcPgwfzz3R17tfpWcmuPp/U/jMXtEstvYcS5MXWBpxVKmu6bjMXt4ePfD3LviXuHCRU9HqINYJiayUQwW/vFT/8iG+g34nX4MGHBZXNS76tFqtRTUAs/uf5YVr69gJDnClku2kJJTAg3pbRQ5rUhU26tZX7eeb17xzVKxXVEUpjmnMZmZpNJWSdAR5O0Lb1PtqKYv2kdzRTNmnZn5vvk8vOZhKhwVHB09WloRj/W6uNC9jE0L30ODBEePiq1IoSAmC4cDpk+HK66Alpb/ckbof9+RSMCbb4o3zO8Xarj2diEtf/llMBrBaGRzxSv8IL+J19r/iVmeWWTlLDf88Qa2XtzKVHYKi95Ce3874UQYq8mKTbLhtXhZ4FvA6fHTuM1uUsUUR0aPsKtvFzaDjR19Arv2wK4H0KNnKDFUyh416Awsr1rORHqCB3c8yER6grHkmLglxlBlEWx89/a7+ZuFf8MC7wJqnbXk1ByKqvC5eZ+jqBRRJIVEPiEmgnya6WXTyRay1LvrMelNaNFSaatk7bS1xHNxJjOTpXS1gDWArMrYjDYsOgs2ow29Ro9Zb2Y0OcobR95gNDXK8prlrKldw5raNSwJLEGj0dA31cdMz0x6xnq4ccmN5JQcx8eOky6mGUwM8s65d7jud9cxGB/kuoXXESvEqHfXU++uZyIzwQOrHkBRFTpCHaK1ioEbmm7AorXwzYPf5MfHfsyqmlWcGT9DV6iLN7rfIJwMi4KyRovdaGc0PcqewT04tA4OhQ9R46ihK9zFlxZ9iaScpH2wHZ/VRzgV5q9m/xUgiqV1rjqaAk3M9cwllouJjlP0Qone5jF76In08Pwlz8MHge+1jlq2XdzGH8/+kZ8d/xkHBg8wnhhH1aiEEiEOhg6yJLiEelc9brMbh9HB/dvv565td5HIJVhXu46CWmBT2yZUVGqdtZyaOMUb3W9g1pmpsFWg0+gYiA3gMXuY451DLB3jrfNvsbNvJ5lChiMjwsS4s3cnrx95nTmeOdhNdlZWrRQiu/Zv0bTw+9Qd2gnl5aKG0dAA+bxYVUybBhcuiON/+/b/chr5f98RDsPWrUIZGgxCT49Ykk1MiP3d6tUwYwbzcsf4ePAAs//hVsLhs9zRegevXvkqVq2ViaQ4oTNKhqJaJJlLklfzjKXHGIoNkc6nsegt+C2i3ScjjGMOoyCNmzQm+hP9aNGWKNXD8WFcJhdbNm5hIDbAnv49pOU0RYrc03YPVzVcxbKqZayqXcVjux/jD2f/wP7B/RTUAuFkmNu33k5STqJRNUTSEYw6I4VigYNDBykoBbrHuskVclQ7q7Hqrdy/6n5me2azf3g/AOumrRMuSI1B1BlqVgnak5JmgW9BKZkrr+RJF9IlQVVHqINQPFRqdzpNTr7Z+U0MGkMJQmTVWWmqaKLeXc9YcoyOcAebWjehkTT0x/pZWbOSn574KYqqYNKYyBfz3N12N/94+h9RJZW9A3vxWX3i/VOLFNUiewb20B/rp85Vh91oJ5FPYNWK/1drTSs7+nZwcvwksVyMX5wWq5I3P/Em5ZZytGjZ3r+dKnsVOwd34ja56Qh1MJmdJJlL8vaFt9FJOh7b9xhZOcvDqx+mfaidzpFO1tetZ17ZPN7seRO70Y7f7hc6kbq1oEWsqjCQyqc4FD7EY2sfQ5IkxlPjvHPxHa6svxJU+ML8L6CRNJycOIldZ2c4MUw4FubQyCEeWPUATYEmrEYrkUSEUCrEgcED1LnrAEjKSRb4F9AYaKQr1EWhWGBV1SqGE8O8cvkrDCWGGD/mI3N8Nu/0vYamqIhuyS23wIkToq7x8stw/AO2VbEI3/veR1aEfqTuiSRJZcA/AtOAPuDTqqpO/YnH9QEJoAjIH1Zl/6PP/9fjP+xy/V//C86cEa2mTAYkSWg3FEXYhDs64OmnGX7sDRYO/J65X17N3uoT+K3+Ep5/U+sm9gzt4dDwIRb6F9I12iWClJEw68y0VrWyZ2APWklLppjhtubb+GHPDykWi7itbkbiI6ysXcnhkcOleMIPIT/bLm4TDliTA0mSyMpZVlSv4Mz4GfJKnmgmSrqQxqA1ICFhNVpJ5VMkC0kC1gCJdIKsmuXyGZdzevw05ZZyTkaEBfxz8z/H5t2bWehfyG9P/xaX2cWKqhWcnjiN3+oXMGD/Yk6Mn2AsNYZVb6WoFBlJjxC0Boln42SKGXwWHxPpCWRkbm2+le90f6ckRMsWsvitfs5OnEVWZCRVIqfkMGqM+B1+5pTPYev5rcjIVNmrsOgEZ2MgNlAilNe76lnoW8jVM6/m69u+TiafKbk17UY74WQYDSJqIpFPUJALlNvK+dvGv+WxvY+hQ8dLl7/Edw59h0Mjh9CgodpVLQxd+TgOg4NySznratbxes/rbGrdxOs9r1OQC3isHgajg3isHsxaM7IqM5wYZm3tWg6HDpd8PDPcM5jmmsaewT0s9C2kM9SJRWvBZXExlBhCj8jS2TO4h4XlC+kZ70GHrvSZfeuKb9Fc2czd2+7m5PhJcnKO4fgwBq2BfDGPjEzAEkDSSKQLaRRZIa/kKVKkrbqN3mgv44nxEjqg3FbOLM8sdvbthB+/S5PzF+zv+iaSRiO6I5/8pGi3hkJitRGJiNWH3w8bN8Lzz/+Xirv+I7knH451H2Sb/MsX8p95/n9unDsnWkuKIgpA69aJicLrFX6UfB6amuCtt6icOs6X9W9i/vUd2HLiQLZpbNzQdAO/OvsrDg4f5O62u4UyET33t92PVW/Fa/Ni1pkxSSakooRFZ+HNnjdFS8/uZZF/EVfNuopbWm5BLaoiYNkzi0gqwv7B/SWexnhqnHha2OJPRU6RL+YZjg3zjeXfYH3degxaA/e03UMsG8NusGPT2cjKWerL6ikiYhfGU+N0hjox6gQV65Z3bmEkMcIi3yIUVSGajQodRCbKroFdjKfG0Wl1LPIvwmawgSTQewA6jY7l1csJ2ALkijncFjcqKr879zvW1q4V4cdGF4OJQbpGusgX86SLaRxmh0AHKilyxRxXTL8CGRmzVuzHF/oXMtc7F40kJt1F5YvQa/X0jPbwQscLeC1ellUvYzw9TkbOiIR7vR0ZmYn0BDPdM8kX8wzGBnlg1wPMcs0iVUxx29bb6BnrocnfhEVvodHfSMAaYH3tejYt38RocrTkTv3Nud/w8mUvs27aOhr9gkhu0VkYT40zmhCS/75oH6unraalogW73s7Dax4m6AjSWtHK4dBhDJIBp9nJnPI51Dpq8dq8dA91Y9FZ6I/2Y9WJ6Mcbm28kmUtyyzu3cP/2+zkzcYZGfyMzy2aiopIupnGb3dQ6atFpdGQKGRr9jWi0GjQaDbIqC7l4fIACBR5a9RA5NcdIfISOwQ7qJ7+KL93IY67tFH1e4ejesAEWLBC1vImJf0ZEmExim5JKfeRT66OuNM4Aa/8FWHinqqqz/8Tj+oBmVVXH/2+e/6/Hf2ilcfasqGNYreLPJpPYltxyCzz1lFh1FAri94UCY65a5k4coOW2r3HVZzfw9W1fR1Zk6t313N5yO9/r/h6bVmziFyd/wcnxkwzFh/BZfei0OuSiOKglJJwmJwv9CzkzcYbx9DhOkxONpKEv2off6iedT6MoCmgEDXwqM4VO1SFpRTL9VHoKg97AWHoMPXqC9iA6rUDxx3OCp+C2uKl2VLNncA8A0xzTKLeUc2jkECoqa2vXim3F2DGyhSyVzkpxpddb2Hpxa+kt+sSsT1BQCvzx/B9RUdGhY6FvIRemLoAkJo972+7lkZ2PkCwmsWlsrKlfU0IIlpuFv0Sv0Yu4A6XAQv9CDo8eRocOv81fYoEadAbBI7V4CSfDDMeH0aChMdDI+anzLK9aTlEtMpwYxqQ1MZwYJllIksyLwGstWooUcZqcNAYaORk5yYrqFewf3E8sHaO5qpkjo0dQZIV/+sw/8VLHS+K+fAwNGkxaExo0rKhZwWBikJHECHqtnrH0GH6Ln6nsFD6LjwX+BZydPEu2kCWUDGHSmvBavRi0YisSTv1zPUCHjpW1K9nbv1dMjpIZt9UtQsR7t2FG0LqaAk1UOavoDndTYa/gcPgw+WIeRVUw6ow8sPIBvrH9Gxg1Rqqd1SIOs5DiluZb+PsTf1/iuz646kFu2XqLyExR9Ejf2c8L8itcN/cclgOd4kUtXCgEXOJEga4uqK0Vtb0TJ8QK4+DB/1KX638090QF3pUk6ZAkSV/9v3j+fz73ZNYseO45UUUOh6G6Wsy6Tz/9z4VRj0dUl7VafBMXuZPnOfPbL/P1d7+OTW9DQaHSXsnugd30Rfu4+e2bBZk7FyMlpwjYAugkHY+ve5yALUBzZTOJQgKtpKUx0MiK6hXEsjEW+RexunY12WIWq9FKma0MVRX4v5bKFjw2D+miKGa21bZRKBYoN5ezuGIx8XycueVzhd4gnxJXfVVlKC6ChrRoySt5ukZEPm2ZqYzO4U72D+1nVtksjFojNy25ib2Dezk9fhqH3sFtzbfhNrkpKAUqHBXc2nwrAA6jg75YHw6TA5fJxTMbnuE7h7+DXqfntubbqHRX4jQ5WVWzCr2kZyozhUFjwGf1UVAKGDQGTkROcEPTDVj1VsZSYyiKgkajYaF/IZFUhI5QBxatpaSc7RoRe/WjY0fZ1b8LvaSna6RLpM7nhclNUiVyag5ZlYlkIvSM9hBJRYSbVasnpQjBlt1gJ6tmefHAi7x/8X0W+hdS66jFbrCzee1mdDodPWM91DhqmOWZxVh6DJ/ZR6aQYVnlMpL5JH/V8FeMJ8cJJwW9LVPMMBAfIJaNEU6FMWoEPdxtcIu8Ga2pFJCVV0X7/bL6yzBiJEMGWZY5MHyAifQE9e569g7sxaK3oMgKOo0OVVHpCHUIrYkiVKWxbIx8Ic/LB19GURU+M+czjKZHuX3r7ayoWoHH5KF46uPYNBb+1roTS0eXiCbw+8UKw+cTE0U8Ljwnk5Pi9w6HuO8jjv9/5Z60qaq6GLgCEcu4+j/7Qv/TuSeJBPz2t2KlodUK/0kwKFYXk5Owf7/oY1ssopNis3HbjUUyI8uYNXglhWIBK1aG4kN0hjops5ShKAr5Yp6J1AQWrYVjI8coKAU2797MSGJEQILlAifGT3Bq/BQ6SYeiiINjKD7E3PK5RJIRoeHQaFBUga4z6o1U2iqx6UUexayyWUxkJkoajWORY2TkDCtrVqKRNITiIaocVTh0DjbWbxR9flslDoODXD5XYoeenjhNQk7w6zO/JmgLssC3AKWo8J3u72DX20sxlX9/8u9p9jeTyCVYHFxMLBejP97PY3sfo3eql5llM/nx8R+jKAqFYoErpl+B1+It1Sg6Qh2UW8tFxKMi8/3u73Nry60U1AIFCqQLaULJEAv9C5GQODd1jvme+dhMwla+tHIpE+kJlgSX0BsTFnmTzoSMjMfkIUcOLcK3YtVYyRSESK1QLGDWig7E0dGjIjlPkZEVmYA9wMnxk9S56lBR+fahb5eCk7Zd3FaCRUsaUUuSJIm0nOb+HfejSioV9gpsehtNviYebHsQuSiLXFutmeZgc+nz0GkEVWxV9SoUFJoDzXz70LfJkQNgZtlMCkqBfYP70EgaFgcXo5E0ZMhg0ptYFBCK4bMTZ/FZfBwMHyQpJ0krabJylqHYEL8880vKTGWY9Wb6on1Ekxm025/kG6Z70EUnxcVPoxHHudksjvX588V5EIkIrkxLi0BEyDK89NL/b8VdqqpuVFV1/p+4/RYY/TCG4N/KPVFVNfTB9zHg10DLB3f9h57/fzWOHBGUokWLhE3+i18Uk4PfL757POJxK1eKm9OJ5dXneT57M8mfPoM9Y8JtdwuMWy5KvauegCPAFxZ8AavRSktlC+limusXX0+VowpVUhlMDJKVs8xwz2DLJVsw6IRJa03NGgajgxwbPUaRItGMABMDTC+bLrD62QTv9b7HW+ffonu0GyNGLHoLXquXaCbKOxfe4ejYUaY5pyFJEj2jPfjsPu5YJmTtDpODJ9c9iU6jQ4uWgD1AW3UbNp2N/UP7CSVDjCRHqHBWsKFuAw+tfggVlbOTZ2mrasNj9SBpJL7U+CX8Vj92vZ1ZZbMw68wcHTuKw+BglmcWW89t5eatNxNKhSi3ljOjbAYAiVyCSEZAh00GEz85/pNS+JBZZ2ZW2SxCiRAtFeKjPzVxinvb7uXE2Am6w920VbfhNDpZV7uOelc9j655FI2k4Z62ezBhEvSsZAyX1cWK6hVcOfNKBmODXFp/KWa9GUVRqHRUYtfb6R7pxqwTZrSesR7Uosp4cpzVtatp8jVh19vZtHwTVfYqkrkkWlVLX7QPVRG5r3JRZp53HpIicWTsCM/sfwaLwUJToAm3xU0kE2Hj9I3CUXzhXRrKG0R+raOa0fQoc71z0aHDJJnoj/eLgKZCkm3ntgl8oUbHwvKFTKQn2De4j+H4MHN9c8kX86io+Mw+tGjJqTlaq1vJylniWaGnGUuOYdz3JA1lYe4OvYuuqIiJYWRE6JGWLYPZs+HiRXGBbGgQ25LBQTFhFItw223/peKu/0juiVWSJPuHPwOX8s/5Jv/u8/+vx/TpQv3W0yO2KDffLGzy0agQfWWz4n69Xqw6kklwu/ms7Y/Mc46Rff8eUvkURbWI0+ikK9RFKp/i0V2Pggr/a87/wqw1s3n3Zrb3bSdfEEtpvVZP+2A7N/3xJo6NHhPRAJ0v47P5WBxcXOIhHBk5glFnpD/WT42jBpfFhRYta2vWsrp2NTqdDlTIFXN8Y/k3sOqshONh+uP9rKtbx6XTL6XaUc1Nf7yJdF60Rl8++LKwmKOSyqfQa/V85+rvsLxyOYvKF9E10kU0JxihX9/2dRRZKXWCDg4fxKgx8g/H/4HZntloJRFP6ba4WRpciiRJSJLEZTMvoznQjMvo4vF1j9MfEy7hOeVzAKFrWBJYwjTXNBEsrWZBFZPKh7GH01zTeGbDM3ys4WO4zC5cZhdnJs7wzoV3SOQTaDVaXjjwAgW1wPMHnqcoFblu4XUUKBBOhGkfbOdTcz9Ff7Sfl7peYiI9QUbOcGDoAC1VLWy7ZhtPbniSp/Y9RbmlnIfXPkxezdNa0UpvrBe5KPPYnseYTE+SklNkyTISH6FAgXJTOXqtHofRwcfmfIzH1jxGwB4gkopwMnKSSCLCQHSAVF7EIBo0BhL5BO9feJ+snGUgPsDn5n2Opzc8jaIqNFU0YdQLIZ5WpyVoDXLnsjsZTg1zf9v9fHb+Z1lauZSR1AhfbRQ796WVS1lduxqH3sH/0957x8dVXvn/7zu9jzQqoy659ypb7gWMTYDsQhIIKd+QDSnUUJZqMNWEbnpdAiGQBNgUSKg2GPci2ZZsucuWbXVpRhppNL3e3x/HI7H5JQuEZMl6dfzyS1PuvXPv85znPKd+jl6jpyPYgcsiNS6a9lnEtn+Ld7p/jPall2DZMqmnKi0VgdHYKIWaDodo1K2t0NYmmojdDqNGfenJXZ+l74kb2Kwoyh6gBnhXVdUP/rvz/y7U2QldXTJYbrfUnJSVwdKlEr8OBETyHjggEZZRo8DnQ8nO4kXjdejqfsCtuifo7O+k2F5MWk3TFewa8Evcuu7WgbJ2AwZybbk49A4muyeTZc7CF/ExNncsiXSCjv4OOgOdWA1WzBqxfy06C4lUgiJbEVtatgikXFqlyd8kIddUnKmFU3EanDy4VcqhVVTiyTjN/mZ6wj2sa1pHY18juzp2EUvG6OjvoCvcRZo0P5n6E9YcXcOP3/oxW9u2srd7LwCesIeOUAeBeIBcW670mLXmUFlYiaJRWNO4hv3d+/nJtJ/QFmyjub+ZmvYaWvwtrDm6hp5wD3u9ezFoDfxm328GOpwV2KRY7aJJF7GpeRPbmwWJ24ABjVaDWW/GqrUyKX8SkWSEFetXcPX7Vwt+iZqWwjXSHO09SpmjjGgySlVhFSX2EhJqgt8d+h1LRizh1nm3ggK/2fcbTAYTl027jDxLHm6bG0VR2NG+A2/Iy3VrriPLnMUdC+/g1/t+zeyS2dy9/m5CsRCKqrCgfAGVRZUAXDrtUkxGE0W2IkbljEJVVVRVpT/Wz8pNK9EoGuaVzWNG0QwUrUKSJAe7D6LRaBiTO4atzVvpT/XjC0s90K/2/op7t9zLrNJZglSWTtMb6SWUDNEV6uKWdbcQjUZ5aPtDTHNPY0vrFhp7G3m4WjqzjcwaSX1XPQ6Tg6O9R6VdRCxMJJYm9Yf/YPY3f05Jbkq05UOHJEoybJgIjHRaeLu6WszvnTvFBA+FRANZv/4LY4R+IaGhqmqPqqpLVFUddfKv7+Tn7aqqnn3y9TFVVaec/D9BVdWffdr5fxcqKBBn0LRpYqKkUvD//p/kbdxxh9h/Wq2odsGgCBmDAb79bdwdu3nEuoLnl1eS59Oy37ufbFM2qJBKp/AEPAOYC93hbh458xEcRgf3nn4v1e3V9ER6yDJl0RfrY92xdZIJmFXOdyZ+B51OhxEj/cl+kmoSs97MzKKZnDbsNCYUTMAX8dEf68dlcVHfWY9Go6E/0U+KFDqNjv5ov6jDlhym5k0FwBeRZKXZZbPFtNDaeePgG8TVuHREwzwAQTi/ZD5ljjIqnBVMyJ+Aw+Rgav5U6rrqmFE4QxpIh3t4ae9LXD3jahwGB48sfYRlI5ZRnlWOw+jAaXTiCXv44OgHNPmb2N62nf3e/aw6YxXvNr7LzKKZRFTxO8SJk0qm2OvZSzgVpivYRXuwnUumXcKR3iPYDXaMOiPDs4YD0OxvZmf7TvQ6PYd6DklRoM4s+BLeAzy49UFC8RCHug9RWVjJB8c+wBP0MCFvAmatmWxzNss/Ws5x/3Ha+9q5c8OdlDvLafY3E01HuXnezcTUGIe7Dw9oSe82vgsqZBuy2da2jXAiTCQZ4aD3IFq09IR62Ny0mVlFs1gybAkaNARiAaqKq9jr2cv43PE4DU6+P1mU5t2du0kkE2xt2cqHxz7EarBiUkwD4Xq3zY1Wr2WKewqbWzYP5HTokcLDPx75I6NzRtMb7hWHtypFho4N9zJFPcpvpoCuuQWuukrwP4NBqS85cQK++10YPlw2yJISydtIp8UkP3JEfHxu9xdaWqduRihILsbGjSJxFUUiJ11dg1pGXp6oauXlEp6aNk3ASrKz+Vbi14zQHsG49nbmlc7jviX3UeAowGKQCkWnyUmWOYsUKbqCXXQEOxiZMxKnwYlG1ZBryWV7y3ZunHsjpVmlFNoLuXvj3UTiEVxWF0W2IuwGO+uPr2dz62Y+Pv4x29q2CY6mzkQwFiScCHN55eXo0TPcOZxYOia9OaJ9rG5YzV7vXvIt+SRSCcbljeN433F8IR9ZliyMOiNzi+eSVtLcuuhWKpwVGLQGOkOdjMkZg6IobGneQlNfE1euvpJEPMHB7oPSwUuFa2Zew0t7XiIQD/DQtoc43necMTljqO2sJZaIYcbM7JLZOI1OLp12Kb6wj4e2PcTI7JE4Tc6BheC2uFkwbAGxZIyVi1YO4JK8XP8yjb2N+GN++iJ97Pfux6gxDqCU9YX7qCys5J5F95BllCpbf8RPri2XNGnKnGXUtNbQ5G+SFpLpJGggkohQ56mT3iE6PZ6Qh7b+NnoiPZh0Jmo6akCB3nAvaTVNZUGlOHjjCfb79qNBw/J5y0mmk3jDXsLpMCNdI0mQ4Pq11zOjcMaAiWnUGtFqtOz27saoNfJK/SuAmGJmg5kUKVxmF5FYBIPBwPTC6Txb96y0LEiq7GjfwY6OHdiMNqoKqyhwFFBqLyWRTrCtbRuhVAizxszM0pkYPPPw7/wWr1lup+zmu2WDGz160PRwuSR9YOVK0ZqNRnGGPvaYtCb1eERgnHnml26e/PNSMCj/LRbxa+TkyKBmUslNJolnDx8O48dLkU9dnfg4olG0VgsvaK8itP8H5Kwr5Ir3r6Cjv4MSewlOo5Ofzvgp/dF+AO7Zcg/+mJ9wIszsktmk09IrNtuczdO7nibHnMOmlk04jc6BRKWqoiqunnk1kXQEk2JiRpGExPsj/XSFuwRTU4F1TeuwGWwc8x/DrDFz0aSLWNe0jnBKUs9j8RiXVV7Gwe6DpNIpsi3ZGLQGxueOpzvSzfjc8Txa8yhjcsbw0rkvoVE0bGzaSDQZFQCgtLRTuGDCBXSEOoTZ0yke3v4wgUQAI0YMWoN0re/eL9CIGuk61xXqQq/V82zds/gTEnHxhr3UdtYyxjVGCqoUBYfBgdVg5fna52nubyaVTpFryeWckedw+4Lb8Ua8jMsdh0Vv4f4l92PUym9ubtrMz7b8jI5QB55+D1MLp1LmKMNhdHDUd5RZJbNYNnwZN869kZ1tO4klYmgVLQCXT7+c04edjl6rZ0fnjoGmSsf7jqPX6ImkIrQGWqWSN9iKyST1OpdMu4T7t97PmmNryDJlYdfb6Y/3k2fJQ0FhXdM6DIqU45814iyiqShT86bSHekm35aPXW9HURWi8Sguo4tEKsHsstmMzRnLkd4jDHcOp66zDpfNJZmv0SDfn/R9qjskTX9C3gTC8TDzS+azdNhS3HY3u1r20fPawww7ayWFs4eJBjFnjkRKenpEmxg+XKIkWVnw4x9LS9I1a+Caa0SjXrFC8pQU5QsvrVNXaIweDW+9Jc6hUEjMkOxsGDdOBElRkQyyokghT3c3nH66mDVTp0J3NyWaHlYZbqT6d7dTGM8jSZK6jjquqrqK53Y9x1T3VACyjdmYFBO/2P0LqtuqSZHCqrNi0ptwmV04jU6ceidF9iIqHBWcPux0/DE/D257EJfRhaqoA5mBkwsnk2fOI6kmMWqM1LTV0BvvRYcOl8XFUzufYumwpSwZvoQzh5/JuPxxPLlTKiYDsQCesAdvyEskGaG9r506Tx2BSIB1x9fxu4O/44mvPIHb5qYr2EVnoJPDPYdRUHjj4BvkW/Ixao0k1AT3LL4Hi85CWklTnlU+APRSWVBJb6yXNGm+Pf7b9IR7yLfkCziuzkpbfxt3LBDHI8jO3xXqoivYRUpNkWfOwx+VIjanycne7r2UOkpp6W/BaXLy1M6n6Ax2UlVShcvqIpGUBt0xNcbG5o1sa9vGwpKFtARa2HxiMxubNrJiwwrSpHlk2SNMLZA5WbllJbWdtfgiPqblT8OsM9MZ6OSiSReRSqdwWVyC5WktwIRodjmWHF6oewGL3sLpFZJNWmArAAUcBgcVWRXoNXrcNjd1HXUs/3i5QBJEewRX1lnOwvKFVBZXYjPZ8MV8mPVmDngPsL19O2paWhYkUgkURaE33EsileCZnc+gRcu88nncsuAWskxZ7PPuo6GnQbJvtz/CaFc3NWYvNnQiKDZsEI05HBatYtMm4eHsbHjtNbj5ZjFRMmnkv/rVYMrBF6RTV2gEAoKncTJBCJNJXldXi6AoLobaWqn6yziKvvpVUfVOnJBzRo/mu+objB4Wx7LxPoZlSSfzVdtW0RZsQ6fVAdAb6yWiRqhpq8GisxBJR4glY6TSKSbkTqC1v5X55RLTN+qNHPEdYX3TeqwGK32xPi6ecjGNvY10B7qpbq/GG5HkNZPBRF+0DwMGFEWhJ9iDiopBa6CmtYZDPYeo6xRVfLJ7MoF4gEp3JfPL5nPCf4J8e/5A1CGpJvGFfby2/7UBPI5pBdPwR/xo0RJMBOkOd1NkL5LQY7CLaDLKTXNvoqathtXHVvO10V/DH/OTb8lHo2h47cBrTC+QvANvxIuCQjwdZ8X6FTiNTgAumXYJ+zz7yDZn0x3qZmrBVGYWzWRXxy5q22tJpBJUFlRK8pWioy/ax8NnPIxFb8ET8vDvs/4dp9GJWWPGoliY4JrAnxr/JL+lxomlYli0gvn5RM0TOE1Olg5bikVj4Vdf+xWvnvcqI3NG0hXsIqEmeGnPSyysWIjdYKfCWcGqpatQNSoOk4NwXHqjXjXzKo71HuOq1VdRbC9Gg4bJ+ZMptZeyvmk9Rq2RCXkTMOlMTC2ayuyS2cwvmc+hnkNsOLaBDc0b6Av2YdPapKObzsTVM67GHxcMU1Jw5YwrybHmoNPpmFUyC4vBwu6O3dyx/g58YRE2bf1tGDsW0fnxMj44eiGO6lrRhGfOFE3ijDNEc47FRHBs3w7NzfDmm3DFFQID4XYP8rTXC+++K76NL0CnLtxfba0gMRuNIhCysyUEBeLL6O2Vv4GA4Gs89JA4S/1+GeSRI8Ws0evxJLKYmdzC6O++inbZFq6dfS0PbX2ITU2bmOyezJGeI1wy/RIe2/EYxY5iCqwFGLQGtjVv45wx53BJ5SVc9cFVGDQGRmSPYHL+ZH625WdY9VYMWgO+qA+rxkqBo4BwMjzQIFiLlmxzNpFEhFQqRVSNMqNgBnajnV0du8gyZhFNRfGGvTj0DswGM76wj1JnKZFkBE/Qg1YjDreD3QfRoOG0YaextnEtkVQEk9Y00MYQpDVDNBnFpJO2hTmmHKYVTmPN0TUkSKBFi1VvBQUSiQQum4u2gDRqLrAWYDfYKbAVUN1aLR3T0GLT2xidO5qjvqOMzR3LAc8BgokgZ486mzOHn8n7je/zYeOHANiNdvqj/VS4KkCVRs+eoIcSZwkHvAfoCnZh0AiieSQlWZyHew4zOX8ybqub2o5aphZMpScikaXb5t3Gn478iZ5ID22BNi6ddilLRy7lho9uwBf2sXT4Um6afxNf/8+v0+xvxoSJbFv2AGK4Bg0Oi4NAJIDVaMUX9nHbwtvwhrw8vvNxQPBCSx2lWPQWyp3lbDqxCYfFQSQeYUzOGI70HsGmt9Ef60ej0WDSmSh1lFLbXkuS5EBrzFQ6RW+kl0AiILUrKRVtuJTUC5tZnncDy9t/j/aXv4SXXhJn/vHjIjBuvVWQ6fr7xV+XkyP+OqNR/Bg2G1x7rfB4KiXn7Nw5hBH6FykQkIQuGAQlGTlSalLMZql6zc0Vlc5sFskdColGotGIGpdKiUo3ZgzbjlpY6PkF+m8vJXdiD72RXqLJKG67G0/AwxsXvMHFf7oYm95GV7CLYmcxiVQCo85IubOcjU0buWvRXTy8/WH6Yn0AuIwuUmqKRDrB3JK5PLD0AVZtW4U35GXzic0AJNQESZLMKJhBV6iLvkgfgWRAAGq1Ul6eb89nVLZgXMwonEFKTbHuxDqJsLinShWqmiSSiHDLvFtY/rEAzWSZs9Br9eSYcmjoacBitNAZ6kSHjkJ7ISa9CZ1Gx4r5K+gIdHDLultYULaAYCxITUcNBdYCGYd0lIeXPMzqY6tZf3w9E/MnUuepw6Q1oVN0hJIhHHrpSK+oCr3xXia4JrDftx+rzkq2ORtvwEuMGDfOupEjfUeo99STSqdESKgpusPd2AzSnKoz0Inb5mZO6RzOHH4mP/3gp6xcvJJ7Nt+Dy+xCq2jFwRruo7K4kt2du4mkIugVaRgdSUY4a9RZFNgLCMVDJFIJ3j34LhGkr6o35CWVTnHHoju4bcNtGDAQQzSaREqyXDWIALAb7NiNdsbljqM/1s+G5g0MyxpGib2EzS2bWTFvBU/ufJJYMkYkFSHPnEcgHmBK/hSaA810B7spcBTQH+lnduls0mpacFv7fDhe280V81Pcvelf0LW1SVbn1q3i4KyvFxM7FhMHp98vuUexmCB3DR8uG2dHhwiKeFx8d4EArFsn5/439H8TIzQQEDXMYhFVLZmEgwdFKGRni0DIaB4Z9Q5kcONxKSWeNUuEyrFjzLn9PF7KugP7b97G6nMTTAYxaAz0RfsGfnJx+WLMejP59nx8ER9dwS6O9R1jfdN6UqR4aOtDXD/7eqxaKaLzx/yY9CbCyTCbmjfhDXmpa6/jcM9hcmw5xNU4Jp0UWh3tPcr9S+4n15qLDt1AAx2L3kIyJfB7s4tnY9AaaOlvYUreFLrD3ezz7KOpvwlP0MMVlVfwsy0/k/CiJZtQPESJo4TarlourbxUsC61NuaUzmF2yWxGZI0gkUywcuNKXtj9AiaNiaO+o+zx7GG8azyBWIBoOoqCwtM7n+bj4x+TIEFPtAcNGqKpKMOcwzBgwJ/woyACA2C/bz+AYImoKRIk+N6E7/HC7hf4uPFjCc0GJF0+kU4IBode6jwWVixkasFUPj7xMb87+Dt06Fi5aSVpVbA+J+ZPlAZM9nx2te8ikoqgQUO2OZtcWy7FzmLuXHwni8sW8+GxDzlvzHmU55bjtroZ6RpJNB3FqDVSYCvAqrNi0Bmw6+1kmbK4Y9EdGDQGqoqqiCfj+CI+IokI64+vp95Tz4LSBdyz+B7aA+0MyxrG6wdeJ5VKkW/NJ9+Sz9mjz+aG2Tewu2s3gViAuWVzpedsIsyh7kMc7jmMN9gNb/8HNn0Dd/1pPjqfTwTGvn1SO9LQADfeKOniM2YITxcXCx8rimSArl0r2kQ6LZGWSEQc/38Hn8apq2m0t0s5vKqK48hige98B37+c7EJP/5YEJk7O8WZ5PXK4GbCUyAToSii9hkMEIuxwv4I/5n/rxy5YBQum51ANMCskll0BjsHtIYMNqU/6qcn2kNVYRXtwXZ6I71oNVpsBhuJVAKD1oBRZySWjDE+bzyXzbiMS9+9FE/Yg0Vj4bThp/Gdid9h+cfL0Wq0THVPZZ9nH52hThwGB/NK51HhqODB6gexaq3ML5/PhhMb0KgakiTRa/QUO4u5cNyFPLrtUYwGI9MLp2PQGtApOuq99WjREkgEiMVjOMwOEqkEPeEecqw5eINeXBYXM4tmAgI8k+kdW9tVC0C2KRtf1MdZI87iG2O/weXvXc41VdfwYPWDA1NhwIBeq2fxsMXUdtRi0ktHtZr2GmmWrNHSF5LSfaPeSJYpi/5YP2NzxtIZ6qSpvwkdOk4fdjpGnZEtLVtwGB3kmHI40X+CiXkTqW2vxWURLaMiq4L1TespdZYyKnsUKTVFdXM1YTU80NxoXuk8trRsIdeSS445h4smX8SNa2/k9IrTOeA9gElnoifaQzIlrRnyrfns6NhBia2ECfkT0CgaDnYfpMBWQFugjZb+FtwWN7FUjEQyQTgV5qElD7GuaR1bW7Zi0Brwx/ysmL+C+7bcJ+HrrlpGZI3g2lnX8ubhNznqO0p/rB9n7d20bVrA2xUXssSbQKcifOz1ikk9cqQIAKtVNrtwWPh90iTRljs7RVs+6ywREoHAIExEeTls3jykafxVMpslZj1rlgzc44+LxL7kEhnMvXtF24jFxFSJx0XAZMrpAwHJogOZjGSS222rKOw7Sum6P5BtEjj/tmAbTf4mmvxNtAZaCSQCnD/mfAKxABadhXxrvnRgS4YGeql6I17ag+1EEhE8IQ9rj6/lm7/9Jp6wCKxwOkxftI/b1t82kFG6/sR6HjjjARwGB23BNo76jvL4zscxYECn1WHRWXjqrKfQaXUYNAbybHnkmnN5audTaLVahmUNo6athgPdB6jtrKUn2ENnfyc9oR4S6QTd4W6CsSBJNUlfpI8kSTxhD2sb17L66Go2nthIrjlX6jlQGe8aTzAexKq1cqL3BKNzR3PO6HP47eHfokNHnjmPWUWz0Gglo9Kqt9IT7gFVsFILbYX0R/rxBD1kWbMochbhMDpAAafRSV1nHX2RPm6cdSPl2eWc8J/gaM9Rrqi8ghP+E+zq2sWIrBE09jYSTUVJqkla+1s54T9Boa2QMkcZuzp2CR6FmsBtcYug1hg50H2AHEsOgUiAHEsOL+5+kTRpGnwNhOIhSp2lJONSkt4X6aMn0kOlu5JAPMDurt283/g+npCH7W3b8YV8WHVSSGfT24ilYkx3T+feLfeyuXkzI7JG4A17GZ09msdqHuOBJQ8QS8WkNYLJxZWrr2RD0wba+tvQHjuHjvfO5/p/vZszGjzoJk2WjSuVEm0hs7klEpKjEQhIakFpqfCoTiclE8GgmCtf/aqYKS6XXKenR777AnTqCo2iInjgAQmnHj0qJcJnnCESuV0cjYTDIn1B1LzycrH/rrhCBl9VRZAYBDmayy7DYDLwh9N+jcVzGuEtPyDXmkuFs4I8q1TeukwuAJ7e9TQ6dKiqSm1nLf3Rfh5e8jDfmvgt5pfMB6R5sT/qp8hexMyimVh0FlwmF1rp9U1tWy3d4W4SCFq5TqvDordgN9hxW90c8R0h25iNqqiMzxvP+qb1vLb/NbRaLWaDmXgqzta2rRh1RrIt2ezs3EkwHsQT9NASaCFNGqPBiFlnFtSoZBir0Uq+JX8g38GoEVAfo2LEoDPQGZQGyFbFSluojQJbAYWOQsbmjuWSty8hnorT7m8n35ZPf6yfcmc5s4pnUZ5dzrljzmXpiKWk1BTrj60XZLJ0GEVV6I/2MzJ7JG1B2bWHZQ/DoDNgM9p4fMfjqGmVMTljiKfjPL3rafLN+bitbjpCHbQGWkmoCYxaI2eOPJNyZzn+qJ9NLZvINmfzg8k/kNYIsbCA99qL6Qx10h5sJ5gKsrl5M+ePPR+Q7Fp/ws/O9p1E1SgpUlwy/RJ8YR8NvgYSqQRdoS4KbYUU2YsoshVR6CjEaXJiNVil/wlJGrwNXFEpdUEHfQcFf7S7HqPWyIbmDVw761piiRh7uvaQb8knqSZxBqvo//UjvBv+Bnf//E20qbQUU3Z3y2JXFOHHaFReq6powaoKN90kdVXxODz9tDhAw2HhZb9fHP/Z2YMN0b8AnbpCIxCAV14R6VtcLHagXi+vH3tMtBCQnP2MHThtmpgnjz0mdmIqJfFvm03yN157DbxecgIe3h93K4mPrkVfO5N1TevwBr3kWfJIppPkWfJIpCXMGUlFhDkTQZ6tfZZzRp7DuPxx/Pq8XwvKdkpKqOs66nBZpEOXHgGdiagRZhbN5Gtjvsaswln4wj6ufP9KxuaOlcrYRABFo6DX6jngOUAyJUhP5Y5yvBEvfcE+LFoLPaEezh11LnpFT4GtgDxrHnpFTyIp/ofpRdOZXzaffIss9M5wJwadAR068m35uCwu0EAoGWJMzhhePu9lzhl7DovLF1NZUElVcRWesIeucBdmnZnXzn+Nc0afw5JhS1g2fBlbWrawt3Mv333ru9JrpL+ZYDoo9TV5U0GBWCLG4vLFZBuymVs8F5vBRjQh9TbJdJKRrpEc7z1OZWElo1yj8EQ8BCNB0mlpo2nVWnl46cOEE2HWNa0jmoqyoHQBI7JHsGLDCkl/tzgJJoIc6T1CviV/oD9LUk3y2v7XKLYXM9Y1FhBfS5o0Zq2Z1lAr2eZsoskosZQ0pVo2YhkPnvEgsVSMS6dfSnuwXZLQQqIppkjxaM2jJEgQSoQGYA+6w9384eAfBLm8bK70YdFZmJm9FP8vXmbK3AdZqGxDZ7GKlnzrrSIIQiHZCOfOFaf+nDmywZWViW/juedEKOTkyLHDh8vmuGqVFLXNnSta9apVn9oo6dPo1BUaINqCySTqWVsbfPSRZMl5PKJZzJkjwsJolNLhYFD8HeXl0jxaK7stPt+gZDeZYPNmhr3/DK/FvkH3r59g8v7Z6BXpdBWPx4kmoty+4HYUjcL0/OnYDXZSpDjee5yL/3Qxa4+t5bV9r3Go+xA6jY4Lx12I1WhlbN5YvCEvceJcN+s6llQsocBWgKqqTC6czONnPs7EvIkk0gk6Q53cOOtGUIXBpxZOZUaxQN1bjWJejckfgxYtOdYcHt/5ODpFh1lv5pFlj7CwfCF2s50bZ92I3SjYGp6wh3AyTI4xB19UGmEnUglQIJqKsqRiCTnWHF6pf4Vdnbuo7axlXdM6WvwtbGndgk6j41D3IdaeWMuUvClsa93GfVvu4/7T78cT8qBFi1bRkm/Jp8ReQpIk4VSY189/ndsX3c7KTSsZmzeWHW07xK+gNRGMBrEarKLRZVeQVtMc9R2l2FaMy+aiL9IneKNpeHXPq2xu3jyAtn645zB7PVKoV5FVwczCmaxctBKtouW5c56j3FkOQJGtiHg6jifo4UjvkYFEtTJHGSadifPHnc/sktnkWfNwGKSVpqqqvL7vdbJMWVS3V1NiL8GqsUrfGERziyViTMubBsDx/uNS7p6Wpt6hhFQ6t/e309rto/6R2zlbWcP7yc3o580XfquvF0EQj8v70lKJBHZ0iI/ObpeIiNc7mPmZ6Qh/8KD0cl2xQvx3IBvmgQNfCEsDTmWhYbcLrN+ZZ4qPIhQSoWAyDWbQZdLKx0lZNw0NMhlz54pm8fWvw1NPSaaozydQar29cs78+ZxReoyV3/uYjt+/ySjPAiw6C1GiBBIBPjz+IUadkUmFk3h06aM4dA7sBrskE6kqm5o3sXLxSlYtXcUjNY9w3azrpAYinSDPksdj1Y+xqWkT606s4/2j79PQ3cCK9St4/+j79MckfX1Dywa6Ql3cOOtGih3FbG3ZikVvoS3QhtviFltfjaLVaClzlKHX6kmkE9z00U3UdtRy89ybebzmcdY0rkFJKTy85GHKHeUiKJA8EU/IQyqdwm60c/HUiwE4e+TZtPS10BHoIB6PE4yJuhtJRFg+fzlLKpZw5eoriSVjNPY18uSOJwfAhH1hH96wlx9M/gEOg4PxueN5fd/r3LnhTvQaPQ09DSgahXJnOcVZxbz8tZfJNmVzevnpfNj4IcFEkNkls5lXOg+dIsl1FiwUZhVy/vjz0St6xuaKtuAJe+iL9lFVWIXNYOPthrf5ed3Pybfn097fzra2bVi0Fka5RmHWmSm0F5JrySUSj6BTdNy24DYWlS/izvV3EogF6In0cOuCW9naspWOQAdrGtfQ1d/Fro5d+AI+cm25zC6djU6vQ5PWiImW6Oe08tPIM+Vh0VsG2LMv3Me0gmksLvkK+j+8wxnF2fyh+6fkrN8uYVVVldwKh0N4UaMRzcHhEF5uaJCNsLdXtI2NGwUOIhyWH5g+XfwekyaJhrJliwibTELYF6BTV2hkKOM8ypgj4bDYfiCS2GaT7wwG+fzb35bJAjj3XKmItVhksEtLJcMuGJTy4liMy/94OY8q13PslV9haSxhUs4k7Do7tW3Sj2TZsGU8VvMYc8vnkm3O5v3G92n1t+KP+7nuw+t47+h7FNoKeXj7w2xo2sCCsgXMLZ3L0pFLKXQUEklEmJQ/iX2efeRYcnBZXFKMpdHTHmxHg4Y3j7zJ+ePOp6q4iu5QN63+VrrD3diNdgwY6A51My53HFnmLPqj/RTbiwnFQ2xo3sBr57/GI0sfocxVxnDXcOxGOwsqFrCwdCEarYaZRTOZ6p5KjiWHK9+/krcPvc3vDv6O189/nXxrPmE1zB7PHkwaE9mmbK54/wqe3/U8ekVPlikLg2KgxCFahV1rZ/n85dgMNp7Y8QQKikSbYtL+IZ6K0xPtYXzO+IE8jfb+dpr6m7ht/W3oNDq2NG9hc/NmusPd+MI+YqkYOfYcyatYfwfBVBBf0MfSYUsxa8zEUjE6Qh1sad4y4Nht6W/hkepHmFM8B52iY1vrNvKseZj1ZvE1pGNYjBZu+OgG6jrrGJE9Aq2iRY+ej45/RJYpi61NW7Eb7cTTcQKxAGHC9EZ6OeA9QCARIK0RMOfOfkF080a9zCiawTDnMIrtxeh0OrYc38HGVT9Fp3h5adg9aIdViAmdSonfIpPRbDSKYNDpBhG59u8XQXLokGjGyaSkGJx+uvD0v/yLCI36ejFVTCYRRNdfP+jT+xvp1BUagYA0itmwQQb0+utlcBVF/BYgtmB7u8S/J06Uibr2Wkk1/+Mf5XU0KiphY6NoG2Yz/OlPooFUVcHs2Xx35E4eHPsa4Z+/iXZdGLvJLrYySX538He09bdR31VPm7+N/d79mPQmyhxlLCxfSENPA2a9GYfRQbG9GIPWwMbmjaTSKXSKDq2ipbazlgeWPMC1VdfSEexgUt4khmUNQ6foKHYU09HXwQ/e+gE1bTU4TA7MejMWnQVFUSh0FvL0WU9j1pnp6O9gRPYImv3N5NnyWH10NVe8dwXXfXgd+ZZ8fvinH5JrzuWE/wQ55hzyLHkc8B5ga+tWKgsqeeiMh1hUvoja9losegtmvXmga3kinWB49nDC8TC7O3eLSeWezOyS2bQGpHHy6NzRPFL9CDaDDQWF2SWz2dqylUhCdnaT1sTY7LFMKZrCk195Er1WzxM7nsCkNeENeYklpWGUP+6nrrOOcfnjSJIEBPzowaUPkmPKob6nnmgyytfGf425JXOx6C2SyKboyTHncM+ieyRJLNjJomGLpKl2m3R/u3/r/STUBMFokJHZI2nub2Z31252de4irsb56NhH9IZ7CaVD5FvyWVC+gFgqRp4lj0eWPUIwHqTQWkg6mSacDBNKC/r3z8/5OXctvgur3sqSYUt44eyX0b71BqlkmI3jnyXfbIPrrhOBUVAgG1UkIpqEqooWodVK2sBpp4kmkU4Lf65fL1pES4tsiuGwBAFsNjFvjh0TAWM0ij+ks/MLLa1TV2hk6F/+RfwTf/gDXHjhYLJLRYVoIFqtSPPdu+GRRwQe7ZprROtoapIJUBRRC9etE291Swv8279Jm8dt2+C++7h0dDU3VrxM1x/WM/3I9AEH57ySeVQVV+ENekmQoNRRSp41j8rCShp7G/FFfVw06SL6Y/1UZFWwrXUbI7NHsrV5K56QB1/UR5GtiHePvMuD2yT34b4t93HVzKvwx/yMzhlNnDhzSucw1T2VUDzE2NyxOEwOqbdIJ3hg2wPs7tpNihQ7O3dywn8CDRpcFhcdoQ5iaVmM4USYrS1bGeYcxu6u3dL7JBHh7kV30x/r54r3r2B31246gh1c8f4VDMsaRpo0E1wTOHvU2dIs2pxFV7gLk8bEPu8+trVsozvYjUExsLtrN9FEFG/Qy/yy+Vw7+1pUVOra61BVldG5oznUe4iPGj/i7k13M8Y1huFZw0mlUph1Zu5cdCcusxSajXKNoi/SR6mjFI2iIZFK8Nq+15hTMge31U1bfxsl1hJqO2opdZQyvWA6Bgz0x/p5cOuDdAY7afW3stezl65QFy/960u8dO5LhGIhSu2lzCqdRUNPA4vLFzPSNZKuQBejskYNaEcA9Z56DnUfIhAP4A17eXH3i0STUZLpJClNCvVkF6m2YBtvHn6TK9+/kskFkzln2Ne59kelmFIWvn/xM4yz5MumdPPNwp8ZDJiuLhEiXV2y+YXDkuW8du3gwo/FRKgcOSJ87fWK81Snk5wOrVZ4ecIE0TwykcAvQP/wZkmKoow5eUyGhgO3q6r6mKIodwI/BjLw4reoqvoen0KfObnrrLMEqOSGG2TAYjGZmDfeEDtv61a47DJp3xgKSZf5V14R82P6dCn+8Xgk7v3443DbbfDqq+J8WrNGpHc8LuHc+noIhfhF8jtcp7sP52UX0VNQQywZkzwNjUJftI9ccy694V4WD1vMhqYNjHKNorZDEqUcJge+qE86sGv0nDXyLC4YfwGRRITrP7qeZCJJKB3CprUxv2I+NoMNvVbP9tbtlDvL2dC0gWnuadR21Q70+ZxdPJtD3kO4LC6K7cXs6dyDw+QgEA1gN9mJp+J0hbsY5hzGdbOvY2vbVs4ZeQ6Xv385Bo0Bb8RLviWf3nAvRY4iqoqrqO2opbmvmZfPe5kfv/1jkqkkpVmldIe7CSfCmLQmbpp3Eys3rURBIZqOAghIcCpGJBHhtIrTcNvcVLdV097bzrxh8yi0F5JtyObl+pdBhQJ7AeFEmIqsCmpbazEYDKTVNGa9mb5oH7NLZnO87zjt/naJdGjMaHVakqkkoZTs8JXuSo71HWNi/kRq2mqYWjCV2vZaChwFpNIpbAYbqqpi1BoZlTOKdcfXkWXKIpFO0B5sJ8+SRzguoDwpUmjRkm/Np9hezO7O3Zj0JoKJICat4KBoFA190T6m5E9hn3cf+dZ8JrsnY9RK6DoW0fD2PT/ApUapHfccRQca0EWjgyaDxQJ33y1askYj+UNtbeKgHzFiEGynsFC0i3HjhEcTCdGoFUUExrx5wuOzZonGnE7L94mEgFE99dR/69v4Upslqap6+GSTpKlAJRBGwIUz9Gjm+88iMD4XhcODAsPhkM82bhQpXVcn7599dlCyP/74QI9XurokPp5KSRapzSb9Ipqb5dxM1eyIEfK5zQb5+fxgwXEezbufnl/8lh+6nx5o42jUGHl06aOoqKgalQvGX4DL7GJXxy7JozBLZuUPJ/8QvUbPz077GZfOuJR7Nt3DZe9eRlpNk+fIo9RRSmVJJR80fkBftA9/1I9eq2d3524KbYWUOkvJt0gy2aXTLqXB18DkgsloNBo6Q508c84zVBZWMjpXgH6jyah0UQv1sGLdCnojvVz2zmWEYiF6I71kGbLk/vVGZhbN5J7T7+EX5/4Cm9FGR6ADVVF55MxHePrsp5lTMgdVVXGanfx676+5dPqlAwIDoC/aRyopO/D6E+upaa/h2+O/TZgw+737WX9iPY/vfJxQIsSM4hl8b9L3aAm0UN1STUgNMT5vPKcPO53Kwkrmlc5jd8duvCGvQC5qBFbQqrdKRzZrITp02Iw2UukUW1u24jA66AzKDq1BQ0+4hzsW3sGL//oi4/PEjzKlYAq+iA9vyMtVM64aaNxUYC+gxF6CSWPCE/JQ31VPsbOYCXkTJJHNIs2xMp3r/TE/Jc4SDFoDWkXL+0ffp66pga0P3cLoZIimnosp+3gjuhMnxJTOzR3Mw7jnHjErolHRlLVaMZG/+lXh19Gj5TOjUaIh3d3yXqMRfu3vFwHxjW/IJhkMyqaY0Up+9KMv5Az9H2mW9InjlwF3qKo67+T7O4GgqqoPf57f/cyaxoIFMng9PTKowaAMrNksi7yjQ16bTIKt8eGH0tLunXfE33HlleLbqKmR8GxWltiEe/dKJGXfPrE78/IGbUmrFRwO/uCZy/d0zzLze4+hzN1CniWPvV17Odp7FFSoyK4g35LPjvYdpNQUNp1NGlCnozT1NqHVakmn0ozLG0ddZx33nn4vHzR+wPoT61lUsYjq1uqBfiD3nnbvQLqy0+Sk2d+MWSONehwGB/3RfiYXTGavZy8us4vmvmZp7oOZUbmjONRzCINOqjpzLDn0xfrQKTopFddqBvqnLh62mCJHEZdWXsp5r5+HN+zlhtk38PrB1+n0d5LvyCetpunu7yatpgmpg928SuwlXFN1DcvXLkdVBIOzzFmGoigc6ztGsb2YcFxaUPaEe7DoLWg1Wr468qv8av+vUFExaU3kWHLwBD0U2guJJWN0hbu4bNplPF/3PMX2YvwxP9FElHll89jZshO04DQ5aQ+INuI0SN+Wi6ddzPff/D5uuxutoiWWjHGi/wQ2vY0ccw4ajYbxuePZ3LyZMTljJASdThNLxWgLtjGraBYus2ugQrc0qxQNGtr72oki9ThnjjiTHe07WFy+mIDXya4HbiA7aw/7D3wX/eiRUqnqcIh2MW+eODF/+1upYo2JeYvPJ5gwGTxbl0s0h+XLhff0evmr0wnP+nwiGLRa+MpXhJ+vuUZ43+USjaO6+n9Fs6QMfQt47c8+u1JRlHpFUV5SFCX7r534uZsldXaKUIjFZFAvvVQEhKKIA/Phh0XannaaREaWLJHBfvVVkdbt7aIitrZKVt7u3YJFsGeP7AKZGDqI0InF5H0kAoEAXzev5qPEuRx56QqOPTkLb6ibK2deSUpNceeiO0mraba2beVHU38ksX+TnYbeBpbPW06hoxC7wU44Gaa6oxqnycmd6+9kw4kNqKjs9exFUaSlY5Ypi5vX3kyDr4FZJbMGTJsJ7gmQQqITCT/bW7ajUaSMuzSrlEVli9DpddR31zMyeySF9kKmFExBQeG6WdcJPoai8M2x3wSQmo/mLWxs2siNH95IV6gLh9HBUzue4pjvGMFUkGQqyXWzrpMsT60iFayGbBQUKgsq2du9l3xbPsWOYs4aeRbPnvMspY5SDBrZjacVTMNpclLsKCbXmotRZ+S3h37LpNxJYuakxB+SUBN4g15JxdbZWH18NadXnM4l0y+hwFbAI8seoSPQgaKVnibFNsHE0Ct6ybzVW/jtgd8SSwnmSTwdR6fVcc+ie4gn46TUFOl0mk0nNqHVaNnRsUMQzjQKKipWrZVD3kPs9+5HURRpFp07AQCD0YCKSrGjmOXzl/P4mY+jts5m84oHuLzr5/z+4n3of/B9iXqYTMIvnZ1igtxzj5gfHR3yv7hYhMGJE7LQYzHxfSxfPliRDbIRZmWJxpKXJ3yeSsEHHwxqLTab8LvbLa+/AH2qpqEoykdAwV/46lbgl6qqZn3i2F5VVf/iwlcUxQC0AxNUVe06+Zkb6EY6sK0EClVVvfjTbvozaRoAv/mN+Cn+7d9EGPT2imQ2mWTw0mnRGHbvFqfnrbeKMDEaJSnmySflnIULRcpn8Days+XYadPgggtEuPzkJzLB06aJtL/6arj1VtpGLuLc3bfRWdyA4cp7Kc7JpshWRJO/ier2anToWDpiKXu69tAebOfM4WeSSqfQarSsO74Oh9Ehaj0p3FY3/qifSCoiDYtTUpQWToeZnDuZFClGu0YLtuame9CiRVEUgqkg413jOeA7AIBNZ+P+Jfez+thq3j3yLmnSZBuz6Y2JO2pE9gg8AQ8ooFW0RONRDHqDNAMqmsGW5i1kmbLwR/3MKBJ8j0QqQXVLNU6Lk/ZgO7nmXPoifbLIDFZePvdlnt/1PGuOrcGmt1FgKyClpmjqa+In037CC3UvYDfZmVE4gzxrHt6Ql7XH1zKreBYHvQcx6KRVZYm9hDJHGQe8B3jp3Jd4duezA0V6UaJYdVaK7cWMzhmNiuTDpNU0LpOLEkcJ3ogXT8DDM+c8w2/2/QaDxsDaY2tRNApVxVVsPr4ZrVaLRquhP96PBg3TC6Zz7exrueXjW2jub8asM6NVteTZ8+gN93Lrglt5YNsDLB2+lPE547l9w+2YtCbcNjctG8/AtuFJXrh+H+feswB9OCKLfOxY4SlFkfqmxkYxo61WESQZQOBgcDAJMSdHeGv6dCk6GzVKHKCplPBeTo6cW1kpuUYPPiiCxmYT87u7WwIAv/3tP7YB9N+jWdJJOguozQiMk9fuUlU1papqGniBwSZKX5wCAREafr/Eu7/3vcFaElWVgc6ofBqNSPVf/1oktaoKsEl3t1znZE4G8+aJ5O7uFl/J++/L9y+/LOqgyyWqZXu7CJ90muI977FOv5T5LWl6Vv2a7fta+c+D/0lnsBOdomNe2Tx+PP3HxFPxgSrJj058xKGeQyyqWES2JZsscxYaNJQ7yomn4li0UgT38nkvMz5vPAD13fXkWnJZ17SOB7c+SJY5C0WjDGSH2o12FBQ0aAgmg1y1+iriqTjDsoZRYC2gLyZOWqfByd2L7mZe2Txyrbm4zC4KnVJbEU1EOdx9mKSaxGqwMiF3AtvbtrOteRvxVJxQOkR7sJ2ZBTNJppK4bW5SpHAYHdy89ma2t26nyFZEriWXOxfdyRT3FOaUzOG1/a9hM9r48ZQfs6lpE76IjyM9R1hQtoASRwkaRYNZZ8aut0sdjM5IJBnhgOcAdZ11VBZVYtQZsWoFmyOQCLCpaRMGjYFxueMIJiRlvaatRvxACT+XvXcZm5o2SSREA6lUinXH1xEhQiQVYWSWNIEyKkb2evZy+buXo9Gc9JUoOrKsWUzOn8zkgsks/3g5c4vnctHki3ho+0PkmnMJx+P0vHkr2g038/G0azj/xQtFYCiKODErKsRRmZ8vPJNOi8b7+9/LAu/vl8+Ki8W/lp0Nv/udNACz2YR/DxyQxT98uGxWdrtsips3iwn99NODZvn27bIBrlnz5bYw4PM1O/o2f2aaZATOSfoag02Uvjhl8DT0ekkZf/11Wchf+5pESyorJRQ1apRMpEYjpojRKNGR0aPl3IICOa6tTUKtN98s106nRRv5yldkkhKJwdTeUGgQr9Fsxp5n58XTX+JHX02jeWErtMzGqXdi09uoa6/j9vW3c+fCO6VK09/KU2c+hVErsICZTEQNGqo7BH8025xNf6yfl/e8zM6unWQbRLkzaA04jU7CiTCBWIBgMsi0gmk8vORhGnwNA55/CxbcVumWPq1gGgvLFjK7eDbJZFJMoQ13svbYWroD3UwpmIJG0aBRNJQ4SvDH/Dh0DkZkj2CPdw8ukwunxUmuJRer1kq5o5x8Wz6F9kKunXUtAMX24oEcDoD2QDuXvH0J7xx+h9p2ifRMzJ/IEzufwGFycMh7iBP9J9jVtotgPMhb33qLquIqqoqr6A33srlpM3ajnRUbVjAyeyQNPQ24rC5mFM/AF/bREeyQ8HLHzoH2i/2xfpIk6Q53o0PHFPcU6VwW68dlcpFny6PQIc7TFCmO9B7BbXHjdrhZXLGYBeULQIVgPEiONYe+SB97uvZQ3VZNQk0ws2gmL9W9hD/mp9Qwmdw3qxkdOZtnimYzedNLIigyrRNVVXgmg6x18cXCgy6XIMjV1wsPZxDkPB7RhN9/XxD1N28e7BCYKUTbsUP+er2D6QGdnYMFmS7X4O99yS0MPkuzJBRFsZz8/g9/dv6DiqLsVRSlHjgNuPYL3s8g2e2i1hUVyf9p00R70OmkIjAYFFUuE6bSaGRiv/Utyb2orZWJsVjkXIdDBjxycrfw+2VCf/tbsSG/8hV45hkxS+ShRe1UFOjowLqzllW/O403+CmGX/2R3t9N5/o516PX6XFb3Tyz6xmmuqfij/sZmTOSRCpBs7+ZzlAnNq2NBIOp3RPzJzK3dC4n+k5g09kIJSXRqNEn3d5NehMaVUOpvXTADDpj+BkU2gsJRoJEiBCMB1l7Yi3b27ZT014j+KZGCwoKY3IESdxldfG9yd9DRaUj0IHL7CKcDHPbotu4Y9EdFDuKiafjdPR3EEvF0Gv1jHSNpLqtmrE5Y6lur8aqs1LXWcdR31HOGHEGdoOd2SWz0WgF8yOcDmM1WOkMdDK9YDrd4W5+NO1H0iVeSfF+4/vUtNbw0bGPqO2oZUT2CBRFIZqIUuYooyfSw4yiGWgUDXWddYRTIphGZY2iL9pHMp5Ep0gURY+eYnsxJc4Sae6kM7KtdRut/a2k1TRT3VOZXyYVyGa9md5or1S39jRwoPsAPaEeNBoN1826jkAigD/qJ5qS6NAre1/h4mkXY+mtpO7uZ7Faa1lTeRfnDp+O1mCQDUmjkY0os5jnzJEN5sUXhYfGjJE6kVRKeCiVEj6MSA8ZVqwQwZEpja+qEmTyxkbRSLKzhU8z/Hn33XLOiBGSvGgwwKOPfqoT9NPoH94s6eT7sKqqOaqq+v/s/O+pqjpJVdXJqqr+a8ap+nchu13SwLu6xIm0aZOUyB85IhrD/v0iJI4elQlIJMSseOMN+TwSkQnp7hbVbu5cERparaiRc+bIdb77XQmNJRKD/g0QT/aJE3JeRvDk5HDevCA7Y4swbljOO1dMYRGz2Nmxk7Y+weR4/pznebHuRXwRHwoCNx9IBdChQ6/oeWDJAxzvO86xvmNMLZjKGcPPYEbhDPoifXgCHnojvTiNTlw2FxPyJlBgK2B903rOG3Me/bF+3A43544+l+fOeY50Ok1roHWgh2hXsIum/iamuaehUTT0hHpY/vFyNIoGt81No68RLVqe2PEEP/jjDwjGgmSZsrAZbYQTYbLN2TT7m5ldLLB1e7r2MLd0LgYMTMidgMvsYoRrBJ2hTlwmF4U2UTT9QT9d4S5cZhflznKO9B3hrkV3YdKaKLAWsHLjStLpNKNco9jdtRun2YlWq2VE9gi6Al2Cf6poyDZlo0PqUXZ7dxNIBFC1Kkk1SSgeYn75fCx6yZQ9c/iZA/eWRHAztrZu5fxx5+M0OLEb7CwdvpTKokp8YR894R7ybHnkWwd9/f6YHz16rBor8WSCrf85jPSLH/PwqHc43PsA2cvOJEdjFt6IRAZ3fcvJGpTaWvFRTJsm5QoPPihayPz5Es2LRkVwZBKyDAYRPOGw5G10dYlwmDlTTJrqavmbaT16+ukCMjxypJgkublS5foF08hPbeSuM84Q82LHDlnser0IgWnTJLU2J0d8HD6f/F28GH7wA6k98fvFrnQ6RTuZOlX8It/6lrR2PHJETJZ4XJhi8WLJ2nM6ZdIy5fTTp0vItrdXGOf22+Huu+lyFrKiZznvchaWc68mOn8HkUSEOSVzqG6rZkzOGDqCHeSac2npb8ET8jC7ZDbZ5my2Nm+lqriKbHM21a3V9MZ6icfj5NhEbY4mo6TVNGmESeeUzMFhdPBh44ecNuw0blt4G0/WPEldZ510ZDPY2dyymWAiiBkzZpOZf5/176zavopF5YtIpBM0+BqY5p5GVVEVN6y9gYqsCsbnjieajBJOhNnWtg2bzobb7iaejA+0WXQYHbQF2lhYtpBjfccIxoKy62v0xFNx2gJtmLVmEukEJY4SDDrDADDR5PzJHPYdJp1O4zK76I32MjFvIgd7DmIz2OgL9xFKhtCg4fRhp5NrzWVr81Yx8wKtAOjQcf7Y83nj0BuUO8opzypnQ/MGABx6Bw6Tg95QL0mSzCmZQ72nnoVlC0mpKZLpJB81fkSRo4h5ZfM4f9z5vFr/Kg3dDfTF+/CFfETTUUzBUai/e4JiXzF3jlrOBaYejDU7xeFeUCDmbHe38ERfn/gxMkhc2dnymdUqG53HIzVOzz0nYFG9vaI5mEwiJIqKRGjY7RJhyfhIFEV4Pj9f+PaMMyRzNDdX+FNV5Xd0ui8cctV95pX6v406O0UwhEIyaPPmiV2XaQKtquLP+PDDwR1g/3746U9Frbv+ehE0fr8Il3ffFclvNsvxiYR8n5srcfTvfU9+z++Xz+bPl2Myu8GECSI8HnoIiopw/+xnPPX8c5ydOMFl7z9J9Ng6Jv74dQ71HGJMzhhq2mrQqBpO9J3AbXWjUTTs6dpDLBFjfvl8atpqmOSehDfi5bJpl/FYzWOMzx2PSWfioikXccNHN+ANerl94e2s3LyScCyMUWtk/fH1NPY20upvxagx0t7Xjl6vx2V2saBsAQBbmrbwwu4XSCaThBIhdrTtAEBXpGNT8ybKHGWMcY1hT9ceWgOt6NFjQnIoRmWPYt2JddIKAZVwIoyKys62nYRSIaoKq9jTtQedqiNNGhUVrUYrIMgFUzl/3Plcvfpq5pTMYVvrNvKt+Rh1RtwWN839zaTVNHaDeP4jyYi0m9RbOO4/zr/P+XfqOusY4xpDPBWnN9KLHj1vHHoDi9ZCUk3S2NsIIKhZFhc9gR5OH3E6544+l7cb3iYQDVDuKOfZXc9i0MgOr6Bwevnp/OSdn5BKp5haMJUKfQWbmjfzVf+bvP3cbK4qeZObfhkh66INaDKl54oii3z37sFFazINwklmQq6qKryVnS3ntLRIxqZWOwjvp9dLYuKkSWJa19eLFpKfL4JFq5Xszz17xGnf3y/X7OuTTdFiEX7Mzf3CIddTt/Zk1Cg4+2zRAJYtk886OkQlvOIKmayxY0UAKIoIg64uGdytW0W9y6iDt94q0vzAARn0zZtlokaOlHMqK6WrVQaWzecTLWTNGtE+xo6VuPwCWZQkk3D55Rg3buJrTa+wr+xc5nm17LrpOTq2jKKuvY6EmiBGjOtnXY/T5KSquAqdohvon2LWm9ncvJlAPMCq6lUYtAYafA1saJJddFLeJOLpOIX2QhQUqkqqBloajnKNYsnwJcwtn0tUjRKLx+iP9mPSmmjoaSCtpmnztxFNR6lursZutDOtcBrnjDyH1cdW0xPqYVvrNrwhL7OKZvHomY+SJElvtJdIMoJBY+C62dehoEg2KUYmuieiQYPT5GTV0lVodBqiapQJrgnkWfPQarR8fOxj7thwB4+f+Th3Lb6LJcOWUFlQyajsUZL+rndQ3V5NW38bXcGugWK1y6dfji/s48W6F4klYkSSEbxhLyOzRnLaiNOocFYwInsEbYE22gPt0vSpsJIrZ1xJMB1kZ/tObvjoBuo99Wg1Wh7f+Th5tjwK7AXk2/Jp7W/lho9uoNRWynWzr2Nd0zq2H2gj/MIbvPOrIh4qOYv7D1+M67HH0CjKoKPR7RZfhsslVaoPPyybl9MpGqhGIws8P180i8pK2aBsNtnAWlsFJKqmRkrh8/KEN7dsGdQwAgHRdidNEk0jFhOT2OEQraK3V66/aJEc/2XXnnxZ9JnNk3/5F8nTuOsukd4Zyf/d74r9mMnfLyoS4dHZKcJDrxfpX1Ul2oNWO9gD9rbb5NyqKjF7FEUmIpUaTAXu7JSJzDDPrFkygYmEaDYajWgee/dKtObJJ4m98RvWv5/mR5qfo47bjPbsm2gztFCRVYGKSm+0F5veRm+4l2AqiBYtZsXMhZMu5NX6V3GanUwtmEpNaw06rY5lI5ZxwfgLeG7nc2xr2TaQYt0R7CDXkks8Eednp/+MWz66hZgaY07JHIocRXxw5AOmF03niO8IyVSSQDxAMB4kTZqRWSPJseTQ4GvgoSUP8cv6X7K3ay9TC6ZS11lHMp4krsRJqAmyjFksKltER7CDHR07cBgd6BQdvqiPUkcp7f3tYhpEe8k155JICdJZLBnDqDWi0WhQUMQ0sbho6m8CYEruFHpiPfgjfnQaHcFEEA0aphRMwWV2sfrYapYMW8Kezj14I17cFjd6rX7AXAEGKnMz7SK9QS9GnZE8Sx5N/U3kWfJ47pzneG7ncxzxHcET8qBDhz/px4IVS92P8K2+lfOynsB11i+5v28iObv2ywLV6USbfOgh0T4ffFAExaZNwhuxmCxov1/4YfJk0X5tNtEOgkERLrW1IizGjJGQ7IMngZqvuUauc+GF4tgPBKT+pL1dhJPbLdfJgGU7HIPl9oGAJIFt2fKFgIVPXaERCMAPfyhxbb1eJHFrq2gBwaAs9DlzJFLyzDPw7/8ugw2ykGMxcYQaDCJAQCbZbBaBMGuWCJIdOwbxRLOzRcPZtEnOyzCJxSLHHz482L1Nq5XPKytlcpNJ8HgI9Ca5xvY0b8UWYVxyLdozdjCjSHp3KIpCMp2kJdCCgoJO0VGWVYZD76DOU4dda8dldVHqkIbTnpCHDc0bsOqs4hOI9KLX6geSuOx6OzfNvYltbduoaavhjoV3sLVtK9Vt1XSHutFqtDy45EEpPFMUKpwVbG3ZSr5NaltaAi2Dc1Iwg2O9xxiePVywS83ZVBVVsatjF5FkhMsrL+eODXcwrWAavqiP5r5mLAYLJp0JT9jDU2c+xeM7HieeitPqb0WraKkqqaK6tZpHlz3K8o8Fh8NisHCs9xh6Rc+yEctIpBNUFVaxcstKSuwl+CN+8m35JNNJmvubsRvsTMibQE1bDdmmbLqj3biMLnwxAQMelzuOhp4GUOCRpY/wq72/ot5Tj8PooMnfhFVvJZgQkCG9dxL6NY9T0JbNq9ZrmdW3GU0iiVJWJoPQ2Sn+sr4+0Sw+lBRzpk8XIWC3D5q2mYWcTg92ASwsFN6bMmVQa920SY7RaIRHgsHBvj35+YL/8tRTg53UWltF6Dz9tGi7+flyX8mk3EddnWi/Ga33r9D/TTRyu11MjKuukoXr8Yif4bHHZGLicYmcmM1i+0Wjks+RKSm2WGRhe70iaDITlkzKjlJXJzDy4bCEWbVa0VqamkTFnDFDqmzPOku6Yu3cOWh73nbbYIJOfb2ooCdtU/uU4by44DV+rbuM7I9ux7Pqd3h2DMMX9dEb7pW2jBoDl067FFVV6Qx00tjbSKG1kFmls/BFfWxu3cw7h99he+t2zBrzAOhxMBkkGA8yOWcyFq2FQCLAig0riKfijM8bz9Wrr2aEcwTekJSuZxKvukJdXD/7euo66jDoDMRTcToCHRTZBFhXg4bG3kZG5YxiZ+dOqerUGekOd+MJe2gPtvPi7he5a9Fd+GN+prin8Nw5z+G2utFr9ACYdCa0ipZ7T7uXEdkjuGnuTeSac0mpKd48/CY6RceYnDGMzB4pWKf2AvRaPeuOr+MX9b+g3FGOTW+jsriStJpmknsSL5zzAgoK1W3V5NvyWTpiKYvKFmExSPQinoyzs3OnvE/BtWuuZXfHbsbljmOqeyojskfwwyk/ROsvx732bbQvb2S06T12a09jrn8r2slTUPR6WdR6vfBVXZ3wlcEgPHDjjVJjsnSpoMiddppsRlVV4tO47DLhV4NBeG7MGAmrvvOO1Da5XLIZzZkzGHrNkMcDL7wg19HrZdOzWEQD6e0VwTBhgtyX2SzOWL1+EG3/b6RTV9Nob5f078ZGGbxMpKSxUSYxU0XocIhQCIXERzFypOAr+v0yYc3NIvmPHRvUJKqrJf59112i0Zx9tuwMhw5J9GXFCrmHhQvl2s88I7H4SZPEyXr66SJE2tvF8fr22yJAMkhiJ7NV4+4C7j/vWZ55YTzJvGOM/skf8DrX0NbbRkqTGqjZSKtpNBoNWaYstBot4YSgSF06/VJe3fsqc0rnYNAaOGfkObx5+E22Nm9FVVUmFUyiwddANBEdCJeqJ//NKZ7DPs8+AokAxbZiJuZPZN2JdQJ4nI5QYC3AoregqirF9mIKbAXUdtZyou8EJfYS4mlxROZb84mlYsRSMdS0Sn+iH5vGRqFTEMw3N29Gp9HhNDnxhry4bW5afa2ECbOkYgmNvkZUVBLpBB3BDiqyBCd0XqlEM65dfS3N/c08eeaTFDmK+OZvvznAAt+c+E32de6jvrsePXpePu9l3jr8FmuOrkGr0dIb6+WqGVfR1N9EdVs1HaEOLBoL0XSUiqwKCjUT2PL6ApTai5ky+tf88eg9lIS9aKZNE8GgqjLvijJYu9TaKptHpvEyyEJduFB4bc+ewXKEWEx4oblZeMftFnNl0ybhzfx8iXJs3SrC55575DfuuUe0hfp60Wpyc0XLyDj4Fy+Wze/AgUFHPMhGumiRZEp/gTTyU1doBALw/e/LgjzjDBn4aFQm9+qrZfd/7z2ZpK1b5ZynnpLj160T5+nixVIu39oqg52XJzvJ8eMirRculImbPFkm3esVFfNf/3UQ8TwrSyZw+HDxfqfTcp1QSJDEMtl/eXmDTAay88TjUFhI1NvHz9MXc4vlbrKKNtJ+5s2Y89o4e8zZXDztYl6qe4mmviZqO2pZWCGhza6+LuLEKXQUkkwl8YQ8nDH8jIEwZ4WzQkB3Wrfitrkxao2yQ+dPwhvy0uBrIJ1Mg1Z6lPSEe7Ab7QOo4PF0HL1WT5u/jTRpnjjzCTY0b8AT8nC87zit/a1MzJmIP+GnL9ZHljGLUS6pqA3GgrjtbiblTaIr1MWmFkFQH50zGoPWQH1XPf82+d/Y691LJBlh9bHV2DQ2YmqMeaXzqO2oZVbJLLa3bpemR81b0CpaxuSNobq9GpfJhS/q47Z5t7Fyy0oAzBozJc4SUmqKlv4W1LTKpLxJNPY2SpJZMkypvZTxeeNR4jY6Pr6Aw2+fhbPst9zHvVzU2IbqdKILnaxmzsmR+ZozR0yP004T3ug6WSWh1w9iW6TTg/kWmbqSjONdqx1M5tJqxayZOlX8GW1tg5EOvV4EQ0+PvK6qEnN3yhQRYO3twkPt7ZLMNXu2CJD2dnHcz5wpmsmkSYIZ84+sPflfTTqdmBNarcTLc3JESwiHB51ODQ2D0ZOHHxboNJdLhM7118ska7UiODI4BfPny7nnnSeMsGmT2KnptGgW770nk5aXJ581NsrvVlXJ/0zM/tAhuS+QezIaRejodLLLFBRAdzemZIQry96l2bWAHx/ZheH5LYx9+9d8I/v7vFL/CtVt1VR3VJMgwX7vfpKpJBqdZFz2R/rpCEla9YfHPmRd0zqyjFlUt1SzuXUzRoyEoiG8QS+dgU76Y/3s8ezBrDczs3QmL5/7Mk+f/TR51jx6I71sa9nGWSPOoj3YTjKdpNBeSIGtgNvW38bqxtXUddThj0pn+fqeetoCbSSTSXpDvdS012DWmZlSMIX7Tr+PPZ49dAY7MWGSrmjH17O2cS0tgRZWblnJnxr+RDKdlAK7pfdT6ijlaO9RAokAG49vJJAI0OZvo6qkikAiQG17LW6rm6piKWFa37yeUnspOnQk0gkiyQjjcscxzDmMyqJK9nr3EkwGCScli/Sbo7/L5jcnsvGG/yBxqJzt4y6lpeUavuuPob3hRnSptCy4BQtk/hRFFvDpp4sp0dUlc55xdGeAn5LJwRJ2g0E0g5/+VDalggJZwBmIhr4+caDa7YMd/pxO4RuXSz5LJsWXds01wtN+vwiI8eNFYIwdK+9VdbDna2enCLkPPvjCXeNPXaFht4uTSFEEV3H8+MHuad//vkzy7NkiHKqqZMH6fKIGdnWJwzLjic40Ulq3Tj7/yU9Ecm/aNFhLEI+LIPF45Df275fUXb1ejjGbJbN0797BathzzhHMjuLiwR6yBsNg35VYTJxXDgf87GdkmZLcNn8DJ1LjWbDjCBd/ZQ7v3nU2mqMTUVCwaC10hbroCHRgM9hwW9z4E4NJuHr05Jnz6In0YDfJTuO0OplSOIWEmkCjatjbtRc9erxBLx+f+JgfvPUDrl19rYADq0lWLFjBL/b8ggJLASatiUA8gElroqq4CgWFXEsu88vms2rZKsliVfVoFA1Ws5VoIopFa2FD8wauWX0NLf4WXCYXUaI09DSQZ8uTpkcaI1adVaD1UgnCyTCrqlcRTATxBr0sKl/E5ILJAOzt2Ut9Vz2KopBjzSGejA80o9rUsomrq67mggkXsHzecrwhL4d7DnPj3Bs53H0YBQWb3oZbnYx+0508/r2f4qg5l7fnPMSezq8zpeY19P1BDK1tUvOxYIH4DGpqxGyYN09e79kjfFRcLCUKqirmbFmZbDBu92CpQjQqx65YIRtWMCjzm0jIRjF3rmw65eWDYMCdnWJqgJjEer0IpbvuEjP34YfFL5ZB9NqyRTapr35V1oFWK7xvt4uAGzXqCy2tU9s8ufLKQTDgeFwWbHGxLHaQCaqvF4nv98tAn3uuMELGY93SIovcbBYH1v79EvHYtUuY6NZbBaujvV2kvkYj6qXVKgy0apWYPCA7RWmpqIsjRsg9tbTIrpWTI7vPypVi0hiNopH4/aK+TpsmPo+FC4UBdu2iQ8nnudLl/EfT2WicAb799SZ2TX2CmNJHXUcd+TbpL7K7azcqKrFkDKveCiq47W7CiTAdwQ5sOhsmvYneSC+PnfkYbx1+iwPdBxiXO44ccw6xZIwtbVuY5p7G/Wfcz5JXluAyu5hdMptwPMz6pvXMLp49kM7ti/iYUTSDzU2b0Wv1JJNJDAYDlYWVbGkRQKK7Ft3FO0feIZFOsP7EeqJJKWtPkUKDBrfdzV2L7mJ983oKzAX8sv6XNAeacVvFrNnUtAmrwUpfrA8jRuLE0Wv0GHQGCqwFXDj+Qh6teRSjzsjMwpmsO7GOiXkT6Y50o9Po6An5GBf5Mey8jB3rsxk7cRNTC57kl+9+iGbhQomqxeMy7xn4vFtuEd/UsWNiOmi1srgz0TKNRvxeY8fKAq6okI0i0zpDpxtM/tNqxVTYvn0wNF9RIVrAxImSzZmdLXycSf4qLpb72LJFBEkm3J+XN/hbmSSx3l7hwWBQBFdtrWizI0aIP2Sol+tfoI4O8UKHw7JoN2yQAW1qGuxruWePDOrHH8tEGAxicmTMkURCBMW8ebKQ9++X8w4fFiaoqRGtwGAQQdLTI5O3dq00Zrr/ftEmtNrBnSaTL3L33XJOWZloLX19ck4oJAJIUQa72k+aJPZyebnsONXVEI1SGGnmrvgDHJpzEc92Xs++Z1Jsu+IVqn/xTSpTXyUYC4pjNBkmx5yD2+omy5RFNBllRPYI3v722/zqvF9JZmSkhyRJ7t50N2tPrKU92M6x3mOEEiFKskq4ec7N7PXsxRvykmPOwaK3cN2c67hg/AX0x/rZ0rqF5v5mYqkY4XiYXe27WLVsFVajlShREqkE3xj7DdS0Sjwd54r3r6C2s3agVwvA6NzRaBUtWq2W4VnDWXN8DR8d+4h7t9xLWVYZs4tn4zQ4qe2sFVi+mNTnJEkyIXcC0XSUKe4pdAW7eGXvK8QTcZbPlebZOkXHrq5dNHl76N30LdLP7OLwCz+ln1/RoFSwe/d5vLx+qywIu13MBrNZ5m76dFnMP/qRAFRv2iR81NkphYqLFklO0OTJMr9nnCGlCCdOyK6eQQLPlBd4vfK6pka+u+suiZqsXy/XDQZFEAQCwgcwCAzV3y8L3+kUTTQQEEfqtm3C61lZIjAywDxarfCr5uRSHzlyqO/JX6XCQnFOeTyivmX6PTQ3i7SfP18Y4557ZPAzcPArVog2oKpyXFubLNiyMlFNbTY5rrBQNI3qarFVMwVwHo9Mqs8n+AdXXikTPGeOCBqNRtTR3l7ROMrLJc04HB5MDdbphEnHjBFmHDdO7vXgQTGfli2Ta52M+TsdTr5q3cA75vPZl5zNDJ+W/fc+S/rFP9C0bjz2oIXvjP8OXaEuNBoN04ums6tjF7euvZU/Hv4j3YHugTqVRCrBinkrcFvcjHKNYu2xtQxzDGPFuhXcs/gefn/o95j1Zp45+xke3vowV753pSSa6cyoqPRF+phbNpdcay6rj62mN9RLtjGbSCrCA9sewGF00B3uxqq3oigKVr11AGRoZ+dOrEYrK+avYGfnTnxhHzMKZzCreBY7WndwqPsQV1VdxZJhSwgkAhRaCwdQvo77j2PX2/n+5O8TSAToi8p93Lf1Pt5vWI3pxHR07z0PjzVjrJ/LDdar6UhMZsM5ZoqdRrTJFNqRI2VsL754sFYoEhEToKlJNpCMAIBBv9f69SJY9u8XwKcbbxTU8JYW0UgdjkGfRTQ6OHdTpwqf3X67LOyKCuFHt3swuuJwDNZNqapsdOvWCb9UVYk2kUwOhmMzGonZLE78+fOFJx0Ouf8MMtgXoFNXaIAMdiAgiVt33DGIrfG1r8lgZyS0RiOLOpP229wsA5+XJ8eNGTMoye+4Q4TK1KnCPKoqDBCLiRRXVdEgvvc9+b3p02W3aGyUZDOdTiY704elpkaOefRR2QGWLRMwoAcfFEby+8Wsys6WHe3JJ+WZkklhvv5+iETQGAzoCosY+dBlbO28jfZEKQ9Zd1C+5nJSj3byH9edRcGeG9B3uqjvqueCsRew+thqqtuqiakxpuZNHWgNsGrbKrrCXfRF+zDqjDxb+yxp0qw+thp/xM9k92S6w93s7dpLljmLAkcB43LH4TK5CKfCNPtF4zjgPYDb7kZVVXJMObT3t9MT6yHLkIUv5sMX8WHWm1k6fCmLyxdj09noCHawctNKTFoTW5q3UNdZR2+sl1XLVpFKprh2zbUEYgHcVjeekIdwPIwn5CGajJJnzePVva+SJo1BdWI8/nXGbt2AZlUTpjdeYpbDws0/uZSmnv/HDal9GBxOcq65CYO3W/hl926JcF13ncx1RkPMIHlbrZKkF4sNQu2ZTLIp3H33ICBTJhQLgxpoe7topEVFsrlUVQ36Orxeuea4cRLV27tXTJgMyPXLL4svwm4XX4bdLudlnK5areR76HSiXYwdK0LktdfkfcapmkrJcw01gP4rlEHc8vtlUlMpGfC6OvFh1NTIhH/ta6JBZCS6qopEDofFj5BB4zKbRdtYs0YYYPt2UVPt9kFn6tGjInCam+X6JSUiOFpbRWhcf704WY1GUWX37JHvd+6UhK/OTomoXHKJ7F4OhzzDsGEiVMrKRGBt2yZC5JPoY1OmCNPU1aE1WzBr4vyo4CM22r9Os2Mq9/+Llaq6f6Hj4Y8xvbCT3zyUh6txIt+beBEaRYM/7mdh2UL2de0jkU6Qb8knnAwzvXA6E3MnsnT4UsKJMGuPr2VL8xa+++Z3Kc8qJ5lO0t7fzqbmTfRF+yiyFXHr/Ftp628jqSbRa/VkmbMIxAMDZeuljlKyDFk8d/ZzTMyfiEFrGEgrV1Aw6Uz0hHuYWSzd3RKpBB80fkBKSZFQE2xu2cz6pvWkSNEd7SaF9EW5ftJDHH13Jrrf/IGeu+rp+v3XMbS/xQe2r7Lnvj+ycceV/OyXq9Hb7BgrT7YEyPTBKSkR9O5MeNRmkwU+Z46Msc0m43vppSLsly+X85JJWfSqKpptJtOytFRMzVRKFnY6LZvDuHFy/NatMt+TJw/2NsnATq5YIY5WjUaOff55CfNnKq4XLhysrp4xQ85/7TVxpHZ3Cz8kk8J3+/bJ65oa4dt77/3CDaBPbUfoD38oQiIelwEbNkzyJXJyBrtSZWfLbp1Jzc3KkuNtNsnb+PGPhXFAzIdgUCYuwyhu92BURlVlIlMpud6oUXLtY8dk4nJzRcj4fIMJNzfeKJgHDzwA//EfYu5cd53AvhUVya4TCsk9z5kjv7VmjQiQa64RZOqkFG5RUSHM9vHHch9FRYMYkyfDt8HGE2zO/lfePjiKdwJL6LFqcI76iGj5FoZVhtkVew2b3sorX3+FY75j3Lj2Riw66VAWjEvXsWgqyvJ5y+mN9HLdmutwWV1UOCvY79mPTqPjrW+9xR3r78CgNdAR6OCmeTex/OPlUm6eSuINe5lbMhenycmHjR9i1ptJpQWRLNOvRa/VM6NwBr6Ij53tO4mn4wOh0WxDNolUAkOshNCJsRhaZmBo/RrBtnKmW9awKGst3w2+zYTeDhkHnQ7FZJKxyHTXW7RIzImSEjEhMip+UZFsAImEmIMGg5iYDz446JQOhUSgr1ol5sCVVw5GSjwe8U2BLHpVFc3ihz+E//xP+T7TSiAel+vp9bIp1NTIPM2eLRAMLpcIlgyurarKuY8+Kg54EH7y+wWN7tVXZe7HjJFrgWgYmfvOFK59Ss8T+AcmdymKcgFwJzAOqFJV9S+uZEVRvgI8DmiBn6uqmkH4cvEpzZb+En3mjNCvflUW6o4dsnCyswcxFJuaBhfbtGnCCBdeKNGLDJ15pgDrZByl7e2injY3D77ev3/QJGloEAfXjBnCoDt3CrOsXStCRqeT3eiii2TBx+PCdCDXqqmRyY3FhCHXrxcn7qpVUgW5fLkwb0GBMO1PfyrOubIy2bny8ga96RlNKhaT43U6sbHnzJHdx+lEPdFEvXE67yln875jLvuik+mL2sgpP0GqZCcJx3pKpwQ4zDugEZ9HmjSzimbRFeyiub9Z/A1tO7AZbUx1TyXbJAv/rYa30KPnjkV38HL9yzT1NZFQE9yz6B6er32evnAfep2eCfkTWFy2mJVbVqJBQ64lF2/Yy/zS+bT2t9Lkb2Kcaxz7m71MSV+MsWsOe7anSHXNJJ20UVByjMmxzZxt2cHFHR9gUqMoGjErNJMmycLNNL0KnWypYDKJRrBpk4x7fb18FgiIFpoB+W1qkrEzGOR1JgFPVWUxOhyyMbz9tmgWEycOdkLTamXsjcZBX4bbLQt3167BiJ7bLYK+oGAQoi8TackUtqmqaAd79wp/lJTI7x85Is/mdErW8V13DVa8vveeHGuxyH0MGyY899xzsHr1l1ewpijKOCANPA9c/5eEhqIoWqABgftrBXYA31ZV9YCiKA8CPlVV71cU5WYgW1XVmz7tdz8zGvmmTRINsVplUWecTldfLYIjk43ncsl/EObIyhpESIrFRCr39wsDZEKxkYgk+vzud8KMx48PJs1kYuMajWgVpaXyeTotjFBUJL+f6QaeTArDLlsmId8bb5TfnjFDzJVJk0Qg+XxiYrW0iKMuK0uYadSoQWESCgkTZRCd9u6VYzPp8ic73g/kiCgKlJUR+MZ52B55nOPTF/MH7Sh+nz+L+LZsDsemE0q4sBceQOM+jN96lGJND32uVhxlKX562vk8tOdGphZNYlvLNtx2NxNyJ7DHswdVVfEEPZgNZikW6+9Gb5QQbFJNcvXMq3mw+kEUVYMas0GgCE2ghHTQTZ5vGGqyAn3vSLqaR0DCzoxJScyOrXxz5xssTu8jy9RIbm4xgVtvIPuK69Akk7KYystF4N96qwjUm24S0zCRkLloaJBjMhm5t9wix+bmShje55PF3dcnwthoFKHjdov6n58v2kimzHznzsHwrMczWIw2erRc/+GHpZZk82bhm1RKNMdMEdm2bXLt9nbJJv797wd/P1P0aLcLD2/eLNrCzp0iEDo7B5HzM7xps4kD32iU3wkGhYe2bhU++IIgPH8X80RRlPX8daExB7hTVdUzT75fDqCq6n2ft9lShj6z0MjUn7S0yACGQoM7jMk0WMHq90t6eU6OTGBG2odCsjB9PvE5bNwoO0kmxbu8fLAc+pZbBKG8qGgwShKPixCaM0d2/ky5/Z49Ujr93HMiHHp7RWg9/bRoD0ePDpgTAxWRixbJ5ydOyO/pdLJ7Wa1yjYwvpr1dmMdul/+fhHbT6eTeMuBBPT3iC2lqkuuetL1jy5aCK4vUtu2Ym1o4Ov9MDrcWs9ZUgXf0aajvHWW/rZgTthH0+2wQy8bsDKJ1eAkajmDUR4lpo2i1Kiklhs1kYmZhFZtP1KBXzMTjKfTY0QRySQcLCPe6ULQp9HYPDleQuK6B85s7Sbo8LEv6GT01wlhLN/ZDR0mGQ2hb21DmzCFdX48mN1fU8Q8+kEV4223ws5+J4MzKGlTty8pkwSmKaBcul+z4x45J2PTjj+VYh0N277POksX3xz8OmhDJpGgbPT0yz2azfBaNCo8tXiz5EP39MueZhK/OTvmstVXO7+yUectgZ2S0lg8/FG24q0uEiMczmPCXAdn58MPB6my7XX67vFzmcP58ESQZDenEiUGA64ymVVwsvPgFNA3dp6+8L0zFQMsn3rcCs06+/i/NlhRFyf9rF1EU5SfATwDKMqXIn0Z2uzDEhRfKJBw/Lqpkfr6gioMs3PZ2GcR4XAb4hRdkIX7nOyJ0olFxgDU3C1NoNHL8I4+Iz2PhQnGWjh4t577xhoTtXnpJdq777pN7mTFDJu+rXxUTZelSeOIJCavedJNoLTNnCmNPmTLYOiHDcHPniqaRqXMxGETYxWKye06bJgJp9Ghh6H37hNn6+0V9zckRFTVTB/H66zIeo0cLw991FySTGJtboMsDf3gLmpoYtWkTox7/fyx94TmMkZ+TdrxN95u/wTzeRPiWa7EYcjn8/atZueG37NvXyrl7LdRUlqEarUzOqeTtQ+8Tz1GZmhdGrw+j0aVYVjyKyK/v4NzpI8i1+7HcfAXWJ57DoDPQdu4SKr61Et+jj5F71wOQNRH2HYNx49AdPChaUm4umvJyMc+uu05s+rvukgX93nuijn8SocpuF03w2WfluIwDu7FReCCZFNPRbJbxys8Xp+FPfyo+gAz61syZoi0cOyZ+qOXLZRy9XpmfI0ckwtbSIk7O7Gy5zhNPyEKfM0e0ydtuE3744Q/l/u+9VwTTjh1yL6NHy/29+upg2vn994uwcTpFGLz44mDF6oUXytwXFclc/+EPcn/PPSe8+8QTwkPDh3/hPI0v1CzpZO+TT9M0LgDOVFX1Ryfffw/xf/xUUZS+z9ps6ZP0mTUNkIH/5CBloNgyn2Xef/L7jBSurR1Muc0wWSbGnfGuNzSIo+uT52Z+M/O3vV1UxAzSUkYL+OT9tbf//z/L3FswONghK/N9Jmz2yd/+5G9+8tmCwUF19JOaR+ZeM8/354CzmXH48/vp6Bi83ifOD8QCBGIB7PHB8bUb7bT3t2M3/ldGtRvtdLQ1UOgo/K/jm3nd0CC/kRmXv/R8n7zvoqLBY/+7RfHn52c+O3JkcK47OmRcPzmOf4lvMr/557t25vjMsZn7/uTcf/JeM9fIHNPZKffyyXH+5DGf/P0MZXgsw5d/Pl6f5PPPIDT+75onQzREQ/Q30ZedRr4DGKUoyrCTrRm/hTRZgs/XbGmIhmiI/gnoCwkNRVG+pihKKzAHeFdRlNUnPx9olqSqahK4ElgNHAT+U1XV/ScvcT9/odnSEA3REP3z0qmb3DVEQzREfzN92ebJEA3REJ1CNCQ0hmiIhuhz0ZDQGKIhGqLPRUNCY4iGaIg+F/2vdIQqiuIFmj7DoblA9z/4dv7RdCo8A5waz3EqPAN8tucoV1U17y998b9SaHxWUhRl51/zAP9voVPhGeDUeI5T4Rngiz/HkHkyREM0RJ+LhoTGEA3REH0uOtWFxn982Tfwd6BT4Rng1HiOU+EZ4As+xynt0xiiIRqivz+d6prGEA3REP2daUhoDNEQDdHnolNKaCiKcoGiKPsVRUkrivJXQ0qKonxFUZTDiqIcPYlN+k9DiqK4FEX5UFGUIyf//kVQIkVRTiiKsldRlN2KovxTVO992rgqQk+c/L5eUZQvhqX/D6LP8ByLFUXxnxz73Yqi3P5l3Od/R4qivKQoikdRlH1/5fu/fS5UVT1l/iOo6GOA9cCMv3KMFmgEhgMGYA8w/su+90/c34PAzSdf3ww88FeOOwHkftn3+3nGFTgbeB9QgNlA9Zd933/jcywG3vmy7/VTnmMhMB3Y91e+/5vn4pTSNFRVPaiq6uFPOawKOKqq6jFVVePA68C5//i7+8x0LvDLk69/CZz35d3K56LPMq7nAq+oQtuBrJOIbf9M9M/OH5+JVFXdCPj+m0P+5rk4pYTGZ6S/BHRc/CXdy1+i/wK2DPw1sGUVWKMoyq6ToMtfNn2Wcf1nH3v47Pc4R1GUPYqivK8oyoT/mVv7u9LfPBf/E2jkf1f6LEDHn3aJv/DZ/2jc+b97hs9xmXmqqrafRHD/UFGUQyd3ly+LPsu4fulj/xnos9xjLVKbEVQU5WzgLWDUP/rG/s70N8/F/zqhoarqGV/wEq1A6SfelwDtf+XYfwj9d8+gKEqXoiiF6iDYsuevXKP95F+PoihvImr1lyk0Psu4fulj/xnoU+9RVdX+T7x+T1GUZxRFyVVV9X9TMdvfPBf/F82T/w7o+J+BPhVsWVEUq6Io9sxrYBnwF73k/4P0Wcb1T8BFJz33swF/xhT7J6JPfQ5FUQoURdrCK4pShayjnv/xO/1i9LfPxZft5f07e4y/hkjQGNAFrD75eRHw3p95jhsQL/mtX/Z9/9kz5ABrgSMn/7r+/BkQz/6ek//3/7M8w18aV+BS4NKTrxXg6ZPf7+WvRLi+7P+f4TmuPDnue4DtwNwv+57/wjO8BnQAiZNr4od/r7kYSiMfoiEaos9F/xfNkyEaoiH6AjQkNIZoiIboc9GQ0BiiIRqiz0VDQmOIhmiIPhcNCY0hGqIh+lw0JDSGaIiG6HPRkNAYoiEaos9F/x8Z8V4OWt0KvAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "ax = fig.add_subplot(111, aspect='equal')\n",
    "\n",
    "#rectangle = patches.Rectangle((-1,-1),2,2, facecolor='red')\n",
    "#ax.add_patch(rectangle)\n",
    "\n",
    "circle = patches.Circle((0,0),1, facecolor='none', edgecolor='blue')\n",
    "ax.add_patch(circle)\n",
    "\n",
    "plt.xlim([-1.1,1.1])\n",
    "plt.ylim([-1.1,1.1])\n",
    "\n",
    "plt.scatter(pointsIn[:,0], pointsIn[:,1], color = 'green', s=0.05)\n",
    "plt.scatter(pointsOut[:,0], pointsOut[:,1], color = 'red', s=0.05)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "be243d7b",
   "metadata": {},
   "source": [
    "### Alternative: Loop method"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "id": "5765d4aa",
   "metadata": {},
   "outputs": [],
   "source": [
    "i = 0\n",
    "counter = 0\n",
    "\n",
    "while i<points:\n",
    "    if np.linalg.norm( 2*np.random.rand(2)-1 ) < 1:\n",
    "        counter = counter + 1\n",
    "    i = i+1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "id": "e224b56f",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "3.14444\n"
     ]
    }
   ],
   "source": [
    "piapprox = 4 * counter / points\n",
    "print(piapprox)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "id": "cdefe0aa",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.002847346410206786"
      ]
     },
     "execution_count": 59,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "piapprox - np.pi"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cb75b7bc",
   "metadata": {},
   "source": [
    "### Time comparison"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "981afad6",
   "metadata": {},
   "source": [
    "Array/List method"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "id": "04ca35a8",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "3.25 ms ± 145 µs per loop (mean ± std. dev. of 7 runs, 100 loops each)\n"
     ]
    }
   ],
   "source": [
    "%%timeit\n",
    "\n",
    "rand = 2*np.random.rand( 2*points ) - 1\n",
    "randpoints = rand.reshape( points,2 )\n",
    "normpoints = randpoints[:,0]**2 + randpoints[:,1]**2\n",
    "pointsIn = randpoints[normpoints < 1]\n",
    "piapprox = 4 * len(pointsIn) / points"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fe0661be",
   "metadata": {},
   "source": [
    "Loop method"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "id": "2e281cb6",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "522 ms ± 2.38 ms per loop (mean ± std. dev. of 7 runs, 1 loop each)\n"
     ]
    }
   ],
   "source": [
    "%%timeit\n",
    "\n",
    "i = 0\n",
    "counter = 0\n",
    "\n",
    "while i<points:\n",
    "    if np.linalg.norm( 2*np.random.rand(2)-1 ) < 1:\n",
    "        counter = counter + 1\n",
    "    i = i+1\n",
    "    \n",
    "piapprox = 4 * counter / points"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "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": "3.9.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
