{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Compatibility of wind turbines with RAS"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## License\n",
    "\n",
    "```\n",
    "Wind turbine compatibility with RAS observations.\n",
    "Copyright (C) 2015+  Benjamin Winkel (bwinkel@mpifr.de)\n",
    "\n",
    "This program is free software; you can redistribute it and/or\n",
    "modify it under the terms of the GNU General Public License\n",
    "as published by the Free Software Foundation; either version 2\n",
    "of the License, or (at your option) any later version.\n",
    "\n",
    "This program is distributed in the hope that it will be useful,\n",
    "but WITHOUT ANY WARRANTY; without even the implied warranty of\n",
    "MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the\n",
    "GNU General Public License for more details.\n",
    "\n",
    "You should have received a copy of the GNU General Public License\n",
    "along with this program; if not, write to the Free Software\n",
    "Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA.\n",
    "```"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Studying reflections of 3rd-party services by wind turbines\n",
    "The third and final notebook about compatibility considerations between RAS and wind turbines is about the (probably rarer) case of reflections. A 3rd-party service might operate in the same area and a wind turbine (WT), being relatively high, may produce reflections that might disturb RAS observations. Naively, the reflected signal is expected to be much weaker at the radio telescope (RT) than the unwanted emission form the 3rd-party transmitter directly. Still, it would be good to do a sanity check and doing the calculations might also give some insights, how pycraf can be utilized for such analyses."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In the notebook about [Fixed service links](https://github.com/bwinkel/pycraf/blob/master/notebooks/A01_case_study_fixed_link.ipynb) we already looked at how much unwanted emission from a fixed-link (FL) transmitter would make it to the RAS receiver. Here, we put a wind turbine close to the FL and calculate how much is reflected."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### RADAR\n",
    "For such a scenario, the RADAR equation seems an appropriate tool, which returns the strength of a RADAR pulse that is first transmitted, then reflected off some target, and eventually received by the RADAR receiver. The detected RADAR pulse is weaker than the emitted pulse by a ratio that goes with distance to the 4th power. However, in our case, the receiver and transmitter are not at the same location, so the detected signal is proportional to $d_\\mathrm{fl,wt}^2 d_\\mathrm{wt,rt}^2$. The RADAR equation\n",
    "\n",
    "$$\n",
    "P_\\mathrm{rt} = \\frac{G_\\mathrm{fl} P_\\mathrm{fl}}{4\\pi d_\\mathrm{fl,wt}^2} \\sigma \\frac{A_\\mathrm{eff}}{4\\pi d_\\mathrm{wt,rt}^2}\n",
    "$$\n",
    "\n",
    "gives us the following recipe:\n",
    "\n",
    "- Calculate power flux density at WT from FL emission; depends on $d_\\mathrm{fl,wt}^2$. For accurate results calculate full path attenuation and account for FL antenna pattern.\n",
    "- Determine re-emitted power, which is simply this power flux density multiplied with RADAR cross-section, $\\sigma$.\n",
    "- Do path propagation loss calculations to determine received power at RT. The effective area of the RT, $A_\\mathrm{eff}$, is very small if we again consider the 0-dBi case.\n",
    "\n",
    "Note, the RADAR cross section depends on the target's area, and its surface directivity and reflectivity. For simplicity, we will assume that the WT's surface directivity is isotropic (i.e., the incident wave is reflected equally into all directions). This is certainly not quite true, but we are not aware of measurements of real WT cross sections. For the reflectivity, we think that 90% for the base (made of steel and concrete) and 10% for the rotor (composite material) could be realistic. \n",
    "\n",
    "These calculations are straight forward. However, the path loss depends on the heights of the reflecting surface. Therefore, our strategy will be to split the WT into height bins and do the calculation for each little patch individually."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "from shapely.geometry import Polygon, Point, MultiPoint\n",
    "from astropy import units as u\n",
    "from pycraf import antenna, pathprof, geometry, conversions as cnv"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Preparations\n",
    "Before we can start, we need to know the geometric area of the wind turbines (separatly for base and rotor) as a function of height. In the following, all quantities are binned by height, with a bin width of 1-m. To obtain the area height profile, we will parametrize the WT by small quadratic patches. Of course, one could work this out analytically as well, but the following approach would be easier to apply to more complicated reflective surfaces."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# define wind turbine (100 m) as polygon, can be scaled, if necesary\n",
    "\n",
    "d_base, d_gen, h_base = 8, 4, 160\n",
    "\n",
    "_wbase_poly = np.array([\n",
    "    (0, 0), (d_base / 2, 0), (d_gen / 2, h_base),\n",
    "    (-d_gen / 2, h_base), (-d_base / 2, 0), (0, 0)\n",
    "    ])\n",
    "\n",
    "alpha = 0  # w.r.t. zenith\n",
    "r_rot, base_rot = 80, 5\n",
    "_u = base_rot / 2\n",
    "_v = _u / np.sqrt(3)\n",
    "_w = _v + r_rot\n",
    "\n",
    "sa, ca = np.sin(np.radians(alpha)), np.cos(np.radians(alpha))\n",
    "s120, c120 = np.sin(np.radians(-120)), np.cos(np.radians(-120))\n",
    "s240, c240 = np.sin(np.radians(-240)), np.cos(np.radians(-240))\n",
    "\n",
    "_wrot_poly0 = np.array([\n",
    "    (0, _w),\n",
    "    (-_u, _w),\n",
    "    (-1.5 * _u, 1.5 * _v),\n",
    "    (_w * s120, _w * c120),\n",
    "    (-_u * c120 + _w * s120, _u * s120 + _w * c120),\n",
    "    (-1.5 * _u * c120 + 2 * _v * s120, 1.5 * _u * s120 + 2 * _v * c120),\n",
    "    (_w * s240, _w * c240),\n",
    "    (-_u * c240 + _w * s240, _u * s240 + _w * c240),\n",
    "    (-1.5 * _u * c240 + 2 * _v * s240, 1.5 * _u * s240 + 2 * _v * c240),\n",
    "    (0, _w)\n",
    "    ])\n",
    "_wrot_poly = np.array([\n",
    "    (t[0] * ca + t[1] * sa, -t[0] * sa + t[1] * ca + h_base)\n",
    "    for t in _wrot_poly0\n",
    "    ])\n",
    "\n",
    "\n",
    "wbase_poly = Polygon(_wbase_poly)\n",
    "wrot_poly = Polygon(_wrot_poly)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [
    {
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g80gH9j9QG6yxwRe3j/tgnIZtMUySdN+c+zRt0bRIz2cmHXywtMce0u9/71Njd98tnX22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\nyAgNAEBkhAYAIDJCAwAQ2f8Dt14toLsNAdIAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb7c3ef7b38>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.close()\n",
    "fig = plt.figure(figsize=(8, 10))\n",
    "ax = fig.add_axes((0.1, 0.1, 0.8, 0.8))\n",
    "ax.plot(_wbase_poly[:, 0], _wbase_poly[:, 1], 'g-')\n",
    "ax.plot(_wrot_poly[:, 0], _wrot_poly[:, 1], 'b-')\n",
    "ax.set_xlabel('x [m]')\n",
    "ax.set_ylabel('z [m]')\n",
    "ax.set_aspect(1.)\n",
    "ax.grid()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def make_points(poly, grid_spacing):\n",
    "    grid = grid_spacing\n",
    "    bounds = poly.bounds\n",
    "    w_x, w_z = np.meshgrid(\n",
    "        np.arange(bounds[0], bounds[2] + grid / 2, grid),\n",
    "        np.arange(bounds[1], bounds[3] + grid / 2, grid),\n",
    "        )\n",
    "    w_y = w_x * 0.\n",
    "    points = np.fromiter(\n",
    "        zip(w_x.flatten(), w_y.flatten(), w_z.flatten()),\n",
    "        dtype=np.dtype([('x', 'f8'), ('y', 'f8'), ('z', 'f8')])\n",
    "        )\n",
    "    mask = np.array([\n",
    "        poly.contains(Point(x, z)) for (x, y, z) in points\n",
    "        ], dtype=np.bool)\n",
    "    return points[mask]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# sample with 1-m grid\n",
    "GRID_SPACING = 1\n",
    "wbase_points = make_points(wbase_poly, GRID_SPACING)\n",
    "wrot_points = make_points(wrot_poly, GRID_SPACING)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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w4CVmNtY5t9jMxkpaWn58oaSJvZ43ofzYP3DOXSnpSkmaMmWKmzp1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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb7c3e06208>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.close()\n",
    "fig = plt.figure(figsize=(8, 10))\n",
    "ax = fig.add_axes((0.1, 0.1, 0.8, 0.8))\n",
    "ax.scatter(wbase_points['x'], wbase_points['z'], c='g', edgecolor='none')\n",
    "ax.scatter(wrot_points['x'], wrot_points['z'], c='b', edgecolor='none')\n",
    "ax.set_xlabel('x [m]')\n",
    "ax.set_ylabel('z [m]')\n",
    "ax.set_aspect(1.)\n",
    "ax.grid()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This may be a bit coarse for calculating the area height profile. Let's increase the resolution."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def wt_area_profile(points, hminmax=None):\n",
    "    if hminmax is None:\n",
    "        hmin, hmax = points['z'].min(), points['z'].max()\n",
    "    else:\n",
    "        hmin, hmax = hminmax\n",
    "    height_bins = np.arange(np.floor(hmin), np.ceil(hmax), 1)\n",
    "    height_mids = height_bins[:-1] + np.diff(height_bins) / 2\n",
    "\n",
    "    hist, _ = np.histogram(points['z'], height_bins)\n",
    "    bin_area = hist * GRID_SPACING ** 2\n",
    "    \n",
    "    return height_mids, bin_area"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The following is rather slow, but we have to do it only once, so it's ok."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# height-bin windmill\n",
    "GRID_SPACING = 0.1\n",
    "wbase_points = make_points(wbase_poly, GRID_SPACING)\n",
    "wrot_points = make_points(wrot_poly, GRID_SPACING)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "all_heights = np.hstack([wbase_points['z'], wrot_points['z']])\n",
    "hmin, hmax = np.floor(all_heights.min()) - 1, np.ceil(all_heights.max()) + 1\n",
    "\n",
    "wbase_hmids, wbase_binarea = wt_area_profile(wbase_points, (hmin, hmax))\n",
    "wrot_hmids, wrot_binarea = wt_area_profile(wrot_points, (hmin, hmax))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Later, we'll only need the effective area per height bin (i.e., after applying RADAR cross section)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "eta_wbase, eta_wrot = 0.9, 0.1\n",
    "cross_section = eta_wbase * wbase_binarea + eta_wrot * wrot_binarea\n",
    "hmids = wbase_hmids"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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YtZsLVFdXQgJs22Z0JEIIRyPJJA83NzdcXV1JT08nLS3N6HBsqmVLdbtnj7Fx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\nIiKSNRUTERHJmoqJiIhk7f8DHvXSPpYNAZgAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb7c3dfa7f0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(6, 10))\n",
    "ax = fig.add_axes((0.1, 0.1, 0.8, 0.8))\n",
    "ax.plot(wbase_binarea, wbase_hmids, 'b--', label='Base area')\n",
    "ax.plot(wrot_binarea, wrot_hmids, 'b-.', label='Rotor area')\n",
    "ax.plot(cross_section, hmids, 'k', lw=2, label='Cross section')\n",
    "ax.legend(*ax.get_legend_handles_labels())\n",
    "ax.set_ylim((hmin, hmax))\n",
    "ax.set_xlabel('Area per bin [m^2]')\n",
    "ax.set_ylabel('Height [m]')\n",
    "ax.grid()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Setting up some coordinates. Because we suspect, that the reflected power will be much lower than from the direct path, we'll put the WT really close to the FL transmitter. It should be noted, though, that the WT is then in the near-field of the FL Tx, such that P.452 doesn't apply anymore."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# set-up coordinates\n",
    "lon_rt, lat_rt = 6.8836 * u.deg, 50.525 * u.deg  # 100-m Effelsberg radio telescope\n",
    "lon_fl_tx, lat_fl_tx = 6.938 * u.deg, 50.494 * u.deg\n",
    "lon_fl_rx, lat_fl_rx = 6.925 * u.deg, 50.528 * u.deg\n",
    "lon_wt, lat_wt = 6.9385 * u.deg, 50.496 * u.deg\n",
    "hprof_step = 10 * u.m"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Plotting this, to get an idea of the environment:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "map_size_lon, map_size_lat = 0.25 * u.deg, 0.25 * u.deg\n",
    "map_resolution = 3. * u.arcsec\n",
    "\n",
    "lons, lats, heightmap = pathprof.srtm_height_map(\n",
    "    lon_rt, lat_rt,\n",
    "    map_size_lon, map_size_lat,\n",
    "    map_resolution=map_resolution,\n",
    "    )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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gQhMoa8rtmDfBYDSV84GaCUIIIYQQQkgTB6WZiIboW1IyEQnTKjJ+C99USjlt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\n68W+9gY42l0vDDSqA0ldESgQwZPiOk2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tO3QsIm/POb87pfQ+Efl7KaVvEZFfE5E/ISKS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UQwHER0fL0ycsiVowcoCmREp0stD5HQ2Wor2oJKO9SNNCOBxmNab4JsBQvou6qmc7sc\ntV92PJ/W/pLICn7+u6N4XcBVsdd91SBDZI3VqmiNYGUHknujq4dLIb9hM10CZCWLKmA3x4Oq0oXZ\nuP3Cmgt0HDJnQO/YrkwBEc64WRkJlBmK68kQYiPIbJmZoTPE9JzJ7Ypk8vz0zaqhNY/eOVq0KudV\nZ1ZR5D3JDqgoLVqT8nhkF9ucuwR9dsdprSxE1+d0yRyjttBaNEXZG/l90BkMGY0fUsg2SQtTq8o1\n2GdVxbasYc9G9kELttHfBofFvT0yaP9bBYGzDihzUDQe45gdYQrA85JkJoDtPWOlMpptfVk415mJ\nh9R1fV8iehQRPaOqqofKnXVd19RedLzt3NcQ0Z2I6L5E9Dkiejk6uaqqp1RV9cGqqj74peOn0CEO\nh8PhcDgcDofjDHBOMxN1XX8m/P+FqqquJKKvJKLPV1V1m7quP1dV1W2I6As9zv2Luq4/z8dUVfU6\nInp3y/mvJaLXEhHd+563q4lUZMUqNMPHdOgqpvOUuQetKvfao7SlVnWxb6CBQL+XRC06CwopPj7i\nZHYV9SsBipTobEhX4bISzqp1jRYPnqiJUG0d2SSiNKo742J1IWK1BFHaetkcH/sK+gjIjxYoySSl\nFoZplGzZuNi2RCTa9Ts8Vs40JFELcN942zhklhI9yShtk6jRQKCMA7JbRQXg4nUAm88SbrLFEUd9\nx7GDSJ2EjlijNYx1Tt1Rc9RGadE6NH5dbHOfNfuS8SCtgRURg20BDUvMpHUU4ioZDyPRAqioKyzU\nJiZotJn2I4/eDG2UZC+IZLZS3oDc4llDZiusex5bBO9E6z2P7H71mOV+lDEtKZSHdIXDUTOj48Pt\nf65Ymf1m/CKTEYsTLrLxxXebsG7NCqmK9YT0Wrx2USHb+Pm5bJ+Tvs8KbMOw3IWf3SPK9pl/G4DM\nB2cpRiS2hf+tjENfS9JSzYTOLHS1rY8fgsi+zEboFdmVYeGfZ8Dy9VhoV7YZC9mxDaxYw7rgn9Ra\nWFa4PHrLXpuIaNRT23bOMhNVVR2uquoI/0xE30REf09E7yKiJ4TDnkBE7+xxLoUvIIzv4O0Oh8Ph\ncDgcDofjhsW5zEzcmoiurNbfkIZE9Nt1Xf9RVVUfIKK3V1X1JCL6FBF9DxFRVZfa4f8AACAASURB\nVFW3JaLX13X96LZzQ7u/VFXVfWn9hfcqInrqObwGh8PhcDgcDofD0YJz9mWirutPENF9wPYvEtHX\ng+2fJaJHW+eGfY/vPRZapx1lmrPEPk2isbtsEmw4La3OQxU5DdtXbdMmIcfMVZiRpSeqxmzZuaH2\nta1hSqPin1FV335CbUaSnjeO53HIKtfDUdqnbIurYycp9FlqIbu50aQtOU2bCMIDzYnnfAnaYltU\nOc8DkOLWlZElBQrNHbcxWLWvi4SCM0/3yblH4kEt7E6EqrN0Wy2uB1nPcmXaAaiQXFI1XdKX4Jop\noCFaQnuJMgtGQWVQa30hxmLR5JhOkbQKrm1uvI9KhLNdVZ91n4h+EY9d5e+BUkpjpM2JdZi/ezqq\ne69yO2rdvhy/RWVCxhmZHbKwEdXPQZdF92Ienp8NbjO/DktQ3UVzzOzKO96lPNrmSW9+GgaCQ3zm\nO2h2mtojnydEddVCZ7RuNyfNnxyafjTdnWfHw/dG+P9QIsBuX8+8D1kAc9+bk/y8pE/1fKaU6e7P\nc3QupOoByhTq00JfAbymsSV22cbfL4hiWSGNddiGbFN5NSCr1L6waFRnQ5ytrVWJmrWo6UhyPJYV\nrrR+vdawwGUq0zY4hqlSsi0eq7TV5bb4SZF/J6J3VV8Lb6+A7XA4HA6Hw+FwOPaFG6Jo3flHzd+i\n8wI+FuQ3My5qIwV5LMQdT1CEXkVRDctNIhHNAcdxRBxmDgZ5lMMUcSIrRlD8rMR2VFpCautCmR3Q\ndoZoX+n4o0WfEA5rS0I0h6ktYHtkLh4DhWfBhncmrVXXx41CxA1ZgMp+5lxEi1h0aBd2G3Iks7Co\njBbHyfXaZb1K1IiiifKobGIBGoKIy7mMZKRWr5vj5vXCcyczSla0D63J2I9hViDXDt8nJCDtbxhg\n2O/O8+i9zkohC10kqrUi1TiyWhbJ5LHN91jQ29yHrui4bst61hHy62zmsq/VqVWMzRKtllrtanDB\nRqJm7fL7GKGk8GEfRCMFI7OHnoOBcY3WeTJaqe1x5XuPj5OZNy1+5kylhOyT3028bfvYOO5rCmA2\n49FR79Oy2OjWeqzjan2/kEkDQhSBb+Z/Csm54IwTP4PoWUzaVRnfUutjKzNhAWVkoU0usCQvMX3Z\nEKJjXdixKxNS8rz1FWBDi9SC9kszFFZWQReSI8KF9XibtGflc3kcMiOzs1hkffLxx4b5Feu25PVz\nG8gadrk0PsvOwJbbMxMOh8PhcDgcDodjX/AvEw6Hw+FwOBwOh2NfOBA0p5rsVDtDV3tEvteJX7xK\n75V6n2t/7XXfaZ87J/aydpE4xhJzJWMroLhISoymmViUpmQcBVW3Exd1UGE7p9c0+1DNg6aWR9gn\nhcIsIgQUGr6m1ao5vgJp4O2j6/Q70xsQ5YMh54THvQdqOSDaXBSEC3pBvHbArNA+8PLasvOpI73O\ndAqxTb8cLAH3ehx161jx8am/PBR/AqoOeqaYwoWoXMXPZQE1xDrWok5KgTWv3VJKE6p+rp8RSQ2C\n1ZKNe8J3dQAoNWiMvG2B6oMUUBQ7YdSGIUAd1LVSUCViVGMI0jvD58LmuF1EjATqqG8LJdQy2f48\nPHuldFAkR+b3HQuS0ZxYSAWbOY1Sr0lEpdk7ucy28Xmbg+aNwzV90DuBRuvzEN0EgcWohyi/xs1B\nPhd8TfyOTvpWYyfKP7tle32rY1t1kRBQXQ3rXqJ3qBZSy896WB8rrC42HbD6kW1EU4OelKazia6+\nLbE0oi1petMSCJ5lLYlIbwrbji+aNbajaEtyPIeBwPva8N5D522HNSavB4njYz/hnYDo4KXwzITD\n4XA4HA6Hw+HYFw5EZoLqOkSoUdXeMotERmKDFiNc3ZVaOdJFhK3zkFDLQt/j9XloG7Z/XUNGKzna\njyLVFpBNI7JgLKsGLr69x2qmbLeai3CR7WDTd3MdUnDJ4Pt1iwvH2Vgbq9p1+1KcyREu2TeLOGOm\nC4lkgRDbEhTKaDwfV6EIboEwXwo39bqQ/fBxqUmBihCDyGRiYUrtVYYRLAvQoREXWag5kePom7VA\nIvkN8B6IAnvQtz4P9dllScrjZhMIlBEzK2aL/vjcpfqdiGivwEIbZRpLYQnJ0VitStDF0X4lTLVs\ni+W64vfAZN4Ii/XaRcJwCb0JHZ9EmZUgt/R9H++hUc14mFir5n0z+Brl2kfPAR/H71AU/UYZ6JgJ\nEHPJYmyUoauD8HobzO8URHBPcuZKiIgnXCW+zq8HZY11FgtllOW9ZKODeB/Exw/b0ML10VMgDTMT\noA2NNLOX/i3R1bd+D3cZYcS/gQyTGQQrS7A0MhqlmQ+rfQtIbI2A7GI5I3EaVLTm8VwLshXbYQ3L\n6z6uMrITcN3J9YfdSJjPz9lMLMmTy9I642t4ZsLhcDgcDofD4XDsCwcjM0H5t2fr237k0hdGLbMo\nBDX88SEo4IW+mXPEWhf+IbKj2IwzsfRqbGDbdRGo+JmM5uiI4QBcbywWRXlETHK+ByqKjaK0KGrE\nWgkZxZ+eWmTj57Eimz/uU2aSePzM40XFA3eO7yW/E+EIF0f3OVIt5wnZOZbYuS5BkcIViBxafNxY\nTEsU8OK+Y6E9MYc18+uNrMgIaDmS+2BojkqfPYaVMWg6zMcqUakoMLJzLY32aU2WLHqHshVclHAJ\n5hpGKzlKi7KKBe8CZAON+rEseiNAgTpr7rpsMlG0lYHsaEszEhqo6JaV/eJ38vbRzbhtb8JFK9fP\n+gLMBcpkNn3n755EA6XG2BU15v3IXldHwpE9uMR0rrKoHcUMdftyTfL8IHBb6bszzXIQNVbTUHPI\n9rKDkBEUEdnrQgRXaizG4Xk8He+b+DwB+r9Gl5fvQ0UWS7RDcrr0c4OuTaIkW4E+N5E+rQSpPiIt\nWluqa0PPW8wOJBH0kAU2MgADtjmV+oLwP7JIZXRpNPTx8g/kEbCL1e3J8XCmYFHl17sdfpdr8iTb\nwIoM2jUhS3HNIn9+eDwXBdvYMch0ySwKFw2Mlr7invK2z4kXWKkmieGZCYfD4XA4HA6Hw7Ev+JcJ\nh8PhcDgcDofDsS8cDJpTVVG1UdFo0/7uxKlOS+QngShAjI1JO1UHWc9qi1ckjpMWo5ZVZd8UJl83\ntrZrt+1MrQJZ9JkKT4kw7UX3Iykoy5BpY1qBFMmPxjmtQwuWJX1kGa5tLio1s81iI85uUogoPavp\nUOlcB0FVaEOKrZFwWc9BsdgNtFWDdLw+L9lWsC42ANUIVkGf52PmaxkAqku0yQVi61IzAX1N8nkw\nTRDU2pTjlmPk9cbp374V0iXyOROVhcft1XajcL7AYrkLVvV61K5VQdoaT6kAs+13va3vdVpt8bwn\n994Yd0YfBe+9hAKp3u/WOzQfm+obXHdjX41oRe3XgaCtYRGSCvJReJ1/LjbPeP45xZC0pRLaIqJF\noTmJNA3RZhT38jGi7UNhjKel2N24zyUmJel65V6FuDyMBNo094RlJW+NGRkMoL89LKDP/2b9ozba\nReXWWEfJ9YT9gO40KhFNAyoTf8InImVwqvUHMRJea1qUFFQzTWhoHD8UlCZUtZoF2CzKPizaZ3oT\n06Jk32xOcEhs43kcgWeKq8lLatO1gFplwTMTDofD4XA4HA6HY184GJmJAPwNPRcdM1BRNgtpwY9Q\niAcUP7IKzcV9A7s/HZ3pEjW29SPHWm2ISINqdyYiynWMuOUi6OEobZMoF1RLWIXQkJhrPFkvWRTp\nQQLPKUeGgOAUzR2KnG9sjJJxpBGijdZrZFtHeTyvERaLS/HoEoyVMx2xKBsQW0uY2YQAed94/NGm\ndZnf01h4CQi8pJheR8sSgT64X1r4mwhPN1AGaj0OJJ5GQuFcgJjPCbJsReLS7LgRZUitlZVwFomJ\nQfYOZXU2QLZiTxUxK81GlkSzLVF06fFndByIwjMqlf2S4OcnNX9otzwtKe6VjMuwN+X3vFxzqMil\nKZzlwm7AdrTLKpihhdcoy74xSAW0RLiwpkYyr0ZWpzHoyEXN8rzFvH0u4nmoMOpGLmDWVr5DZGYh\n7WLr9fHjTc5eAibAFIiygYi4GUMy8mTfRgcrwip+WCKoTs5VYn15Hvx8M4xO0DadSU7nIl9bcQ8w\nYEGIWSVgn7rvIncoqwAOWxj7GKXWsAOQacjOBW3J7ABn0zhrcQhYyfL8SKvk7ZCtkNt00brUBjZf\nFzsuwHY4HA6Hw+FwOBw3BPzLhMPhcDgcDofD4dgXDgbNqa6pXtW0ECnTahl8ig1qQhd1KKa4gVDY\n9FsO7aJ0NoKVhtRtptvahX/IH1wK1HletKiWqBFXY+pAoEx11NWw9nG7VUzX5tc92RplP8+m6yTl\nXFCn+N5IkbauWp3S0/L7hqrh6rGyH7qkFWyE8ch1sXVkPVZEH5tPWcTdCJ+0cFneZ2udzufdtIVw\nRugn36PbWBZQIeR4ZJOogrRes+VC0lwUCClrM6ZnAQoaUwBk/QdtaiDqTsTjwHVY9wGl9vsKYVFF\ndH4eSytCl4ql5bHy+P0K+tva7XMcqpmQHK/etbjydDttrLT6NkJGZ+saq9rfVX8omgJwHRhQywDN\nD6KB6uO66kYwMFWK51C+V1Pq8FxQMq1aIFYFcinibhvD+uf2Z4npIANBN2H6yJjyNYPoZvE9fzjU\nuhBziahD/D4FSxGOP27rSSdE1e4bwxA0J+uxys88q+/e9Sji8TkVkOdYUuriHBj1WaSYXkuCF6Dm\nQ2kdCMZUbFsoatV4n1WyibBYnLcxheg4qHZ99byZjJm6Jkn54p/RPqY3SSptpIGGv/Pk38Mnwj2R\n1CavM+FwOBwOh8PhcDhuEByMzATAXAkYEZKKvIZdXFNRudnHkWpkY8eRZ0sMZfXXNW50jBXBXIVv\npTJSMuBoghE9kaI1bW1pRqJAdF32ozMwUsiHKooP1VhlhiW2P8vFdMiuFGZKopBts7Vv/l9av44n\nYyLCVpI7J9YVs2fCSpajcKi6t23bmVciR7axOPrIFoa5uFn3jdaHzF7wz4MYWcozPqnVps58NPtQ\n5F0Lr5E9MKxsDayJ43OZZADS56BUpFwSxUYWo+g5oEn+SkbXtFT7kmrahpXk2bCcPRewsq7oXWJV\nXu6yTy2J/pZmyXSfC5ABtd53VmY2/BbGFZ5PmV0vzEjofZwxgNmLZZUdj/qbAyMInT2R53MUVLZf\nNtft4mE5r5Ot9f+lQnWO+CKbZgZqC2XqrOh9X2MERpd1a8OGyO3Km3db3gZ67+msLro2ZGxRnEmO\n9szg3bMC63+Z/s0EP+v5M1mczjF+mWnQVqwyM8FReBmN59WwDVJKM0N4zcLoLoE4C7D5ONk3ZySO\nAwYA27+yHawc42EgwK7V3zgSbP+OTAquBZmSUnhmwuFwOBwOh8PhcOwLByIzUdfrqIb8hsvZARgZ\nAt+WrW/JbFfK2Qi5j7/ZS+6njsiux5F+r7P4kW37477wjRLxaxld7PcYGebxActTyeUuyUiUIs51\nHIyIZnEBskEe9Y42vJIfHa0hm/lvijGFyMSJWTaG0qgLj5WjdoePbsZ9nCGR94ozEtNT6/HIdSG1\nEs34Fc85iRrl97ltfOvj0XFp9EEer61bUXQdjXUJsgqjEWtXhBUzKAAV9/F6EtFBXmOsP0DRtT1Q\nSLHh4zbPZ5xXYPFqAV03yj6yFe4AFISL63sl1ynP8TxpU2IgMj38nLF+aWBE74jKsi2l0OsIWZ8W\n6yMKCseV7ovHgChtX5Ta4+p7n77nwTOi+eDSDhk8n9E6G0gHlh3Raw0zgl5o28tAOr49NZ6uqDxf\nErchMx+NRXJzvNYHWGtsTuJdFaLAiC/PxbqG46ajEeXtcuad3ykL8d5E2a/NQap16csqkEB28dln\nnpGpU621t184VtsalrLxZP10ZEfZuhjrvNbvcJnt10CaiZgREMddFzIAp0QmgCP/Mbsh1gxnDGQG\nYKgKIiIbWLnuuP+FylDI9qVW4ZZhPDyubaCLOKS0E0RENa9r+X5R93kyyPUXsv2re9rwHogvEw6H\nw+FwOM4MX/mNv0B3uexW8fdXvuT76LOfO05vetv76Fde/P2t513xi++kD330U7R9eEw1Ef3k07+R\nHvSAO90AI3Y4HDcE/MuEw+FwOByOTow3h/Tbr31Kkpn47OeOF537rKd9A33Dw+9JH/jwJ+kXXvYe\neudbf/RcDtXhcNyAOBBfJup6nVpLaBpAQBapOkgUpNKKRI0IiulN0m5NW9uxbanECFTFRNWxmQ6R\nUlBSohKqsI3ajQDH1OK6LTvGFaBWxHEUpjxLUIE0J0rh6rTpEAht5bbpaH1PmFYk6QjILlb3I4XF\nmuqG7sPO8WnctntyTXM6tZOLrUsqnVoV29FYu6gGReI7sA9VtGaBc0M3E+JmAgJv1TdaO0vDghXR\nWVLr2ay5IvAcI8qXdW+GgJKl6U5EZc9DKnjMq6XztVeAUsbznrRB/USTehzWOuqi6mh02q0qSmly\nbT0pUNbaKhljV9XhWC050JHQ82wZNqC5k2NtqtCHbcBCU8K6XyXPukTb87aYr5LPpPneilZLLDiX\n7S+XNa2WNX3ZPW5PX7j2elota9rZmdITfvSN9IoXfi/d6dKL6bnP/6/0wPtfSt/9mK8I89NOZ0Hv\nWp7/oTAHmQQK0444l+klTCk5JmizkQYL/kZoPn/aKWxom2wL0d8y63ZAgUR25WyLPtzMP/P0nMht\nlkV3F/S8dP3tUURNtETWlFN16nA4snVFIuiZut9ERLPws2zjNP8cKEfyr7adsE3+0cz0IF49ssL1\nEoiso+g7tHXV3l7ch2hURwzLYx7baSS0R5TMsI1pfHKWeP1PhcBbirFLcCC+TDgcDofD4TgzzPYW\n9Pinv46IKrrtbY7Ry1/wPb3b+Ov3f5we/jV3JyKi7e0JPeeZ30xXvPid9Njv/iq6/uRp+q5/94Cz\nPGqHw3GucUC+TNTZN2b+Ji+/ZS9j1Df/NsjflgdJ1HuQtCW/4XPUG2UkUERf27jJCDyyAI3HGd/6\nl4ZNIRJNmkXxwPFWRMOyYuwq1sP7GxFeXlAoFVm3i0t53DLToIv6oHskIzccddwE2YftY5tJ+/K8\n6780zdsKUaL5NLfjlQJ+fTy3YWUjEM7E9tOyE0V2pfNoAZif1zdjZWXXkJiYo1dyDmeztP2u7ABf\nE78FZJE+lK2MbXHEVhZqorR4Y2lGoMlONeu1MiLulm0qijyXRLP3W1yu9Nyud8l+rVstYSt6v1jn\nWVHmNCOWPvcowoqynEi0H8eD7Jw3uK3scGglrc9H+yTQeyUWuRLXNN4c0ptf/eT4+2K+ouWiprqu\nzb6riuhXX/cn9JrffC994Zrr6T+/6olxDr72a+5Gf/KX/0S/+Io/pN9709NoY1DBzHh8NjZzg4Em\ng7NMjpGQRev4LaGtOmW71hqziiAi9F2v6NwkA8CFb2fBSGbQOElUk3A8aAtlrBfKCAOtGWRjr8en\nz9X7rX1IKMzPDfqMvA6IlVEcne8zsmLln08CK9ZtYPXKGQyZxeL+WYg9AIXqZBts/8pR/8/Nc2eF\nbdG+LriYjIfNAMI+y7qWqCnAx9mOYcfyQ/a4Ftwa1uFwOBwOxznFjz/l6+kdb/lR+vGnfgP9/C/9\nQdy+Wq3ok1ddQ5PJiK4/OTVacDgcN1b4lwmHw+FwOBw3CL73Ox5I9aqm973/40RE9Obf+Wu67NKL\n6cVXfBf9hxe+g+aLLuNyh8NxY8PBoDnV7SlISSFYzfmYlNZC1KQ1kQgSpe84bXfo8Cg7hlOxsopo\nTlcorClhpKcRVQelsy3BOZo3i3KDPMA1PQClfFFa26x2LakGKu2NhGpynmL10HDe8FR7pVPZLqJY\n6HmStSI4NYxoCEiAySlc2QaPfw5qk1iIFcxB1VEotuRrAnUXePylafkoSAbCuQQqw9tFBbJqbiCa\nyTgIwa01jOhyqKp0s9YDPU1S7wqoPXMguhwU0onyMYg2APWmpLJwQitgwXZPYW5xhfCzIMrOx1AW\nB7OMCIagDkw8z6BkWBSorSPNA2StC0QbgWNU1NOVUQMJbUsoZcZ4RqB2i0WpTN6BA6IPfuQq+tbL\nXxm3veT5/57ufY/bx9+rjYoGw434jvuRH34Y/dbb/5rudOeL6cp3f5iu/J1n0GRzRH/+vjvRG9/6\nV/RjT31E1qd+98uxNpSyvA4B15w4JNYMUxhngP4yCW1NNpvPf34nTE8tsr4tIFMNfvfsAXoNov3w\n55W8Jj6OK3gjijKiRyMBthZUx9omyfHCWEDTBMXpJe95iWGglMu50O8v2WYUXoPq1fzzRFCNJoqu\nJAXSJ9UaIGrWBRJz87mnhUiZWYexb1mDAlwvi6w/HYTXUvx9j8m6tduPmnfImGtJAPoUQ5sJoH1y\nbCwMl2Pla5O1Ko4N+309OBhfJhwOh+MA46se+UK686W3otVqRbe9zTH6xSu+k67+wvX0sy/4faqJ\n6OrPn6DtwxPaPjymY0e36NUvfdz5HrLjRoj3vuNnsm0PuM+l9JfveW72JVP+Efgfn/eY5JxvesS9\n6NGP/HIiIvrvf/CTRLT+A/d5z370+tz9WrE5HI7zggPxZaKmMuFqE0EH0e8CS0grgo4iGcvlQvy8\n3h8rVYtv81a1YTM6CKxw8Us6t/KMVqTAHo9hCUMTQaUhUOMIurTJbapW51FXBB5jjOqIiLhVKbOJ\n7uSWvvBeGnPNEavTp5obF7MQm3n2AWUm+LqXqzyUwxWk5f1D0VlLXMrZDZkF0yJ32b6+99IOFt17\njVJRrQVTjGvYX0pYUTtkkRjNFsA8FY8jPEtm/NwwESiZXyL8XkPi3vHmkN76G0+mjY2KrnjxO+mt\nb/8betJjv5be+htPoc3JgH7uF66khz3k7vRNj7gXzUAldvMyxHVY9qAWSiPo+7WZRu2jfiyhOooy\nl1jIWoLWrgrd8d05Q1mj9mrsy438Ohp76fbK8xIjNTZkuS3b5+xyfKfAOQTvwvB+lNkatsK1qrin\n40mz2DK6zm0ckdmBjTwjEdvi6xHTM4tGGKkhhv5Z94l+5+wVEpBrkTlRW5XrtH05FzxsHhfKlqPx\nlz53vG6yv1kEENPAXBdgG3/+yLHOwufsMc7iCwFzzFaIaDxXjuaIu6x2fUJlIYgaEffVIFLPkFWu\nTwUxM4ri83iuFharLLzmdXeROI+F3duGHayEzp7It3YUZ4trG/I2FmCLtT8EAu95h6BbwzUTDofD\ncYBw73vdnq659uT5HobD4XA4biY4EJkJqnMry1igLvlGnH4j7ORwG1FgjgZYHEgZWdK8dBTtgH0B\nPmIslJNEXfNv+RrLec5bRDzqGJVKCuuEiFj8XUTQQJSMUYP2dcC9KwKd3YdBHglEUTVuI9Ut5KIB\niyvNEbHGGrZ5pLiQ3UhkPma7uYWsxiFgEbsR10f+/R9FSmPBIhGhGw9yfi1Ho/i4+VxEaVSUeQAy\ndShihSxGzWJjsDhhe9S4NLJqAUWEoyVxR7S4DSjLYRUuQ33vF6hoHT5uRR/420/SY77lfslakUEo\nOT5eF30zRCjqauFMr7+tDZQZ1uOR1q3ofcfQltISqEAYjFgX2HCjdpE+T0eIS9uC+1btbelnfTqb\n03hrze9GGeWoSQN2n/IeRetP49pSbUb7522TMcgtt9H9Yl0ER4hRFDa1T00j+l2F57IidPK6x+l1\n675KELPqYQ5PixJko731z1wgtatonW4zeadv8PHNcSul9bCyELD9Dqv3+JwZRX35aFSgTmabhmGs\nrA9AGoupsS2J7Ifo/Y64/kvH47R9sY+zENeCzMQU9I00DxOVMUDXy63LvqfgeG6L69VPALMBzUUp\nWr9MVFV1/4Lz53Vd/12vHh0Oh8Nxg2K2t6DHPvV1dM0XT9Jld7yIvuor7nS+h+S4iWGxWNFrfvO9\n9L6/+Wf6L2/+kfM9HIfDcSOClZn4cyL6ADVfAhEuI6JLz+aAHA6Hw3F2wZqJvb0F/ehz3kpvf8cH\n6PLvetD5HpbjJoJrrj1J/++Lr6TN0ZBe9dLHnu/hOByOGxmsLxMfqOs692cTqKrqT8/yeM4Jaqpp\ntVrRQKQ7RzFlDVJpgBozALQODUkpiZU4gfUZSpezTewCCKSsCpKwam1ISS5B2lVTUSQSmgan0AHF\nhc9Nxc3rczc38yWl+0KUiYSmMeBxADqIQYmxqmMnFLT5Ij1vJVOsWZfR+o7vJaY75RWYoeCcBYJM\nWwL2hqjd6Wg9ZmQxqoWSsn15jwYhbSzvpa7UjqqmMyQdZBPYrmqLUUSnKhUWM+R4tJ1mF72mxBoV\njQel6HP6h6Q05cew3TKyNy4Z37K3FXBO1UHP2WQyomf/6CPp2Vf8Hn33tz+QhkMh3Kxrqld1QvPa\nsOgQBvWpi6bZB5b4nUjQFpG1LaDLaKoHsmdG47foTYj+UlLFHcGy1U0MEgyqDaK69r0nvJ4/9NFP\n0PNf+i76zm+9P/3Q9z+EBoONKNKvV+KdEKtz5zSn4Va7SQkaH6IysiAXUiwtmhB4p2vMAJ2l1I7b\nog4hM4RoIzzZjNs0jarLWnm4tZ7jehTeM2LfdHfe2Zb1WSOxoNzm2/p7BEFT+0pNB0pMO1BFaFnR\nmvdvA5rTcVBFG1GNdFtXC9E3i6b/Nfx+CrQvaU5MRWK7YtkW046kAPuSAntWbnOn6zpC+4d5fYu5\nOwHm4jiwLrbQOtKuLxKlxzgcDofjxoN73PU2dNc73Yr+6E//nr71m778fA/HcSPFcrmi33r7++hd\nf/RhuuKnv40e5NQ4h8PRgs6vPS3aiRNE9Km6rvt5CJ4nbFQVbU6GUOQjo63a2k5GoqxoNEMWdtGF\n3aRQjQsPyfFwcTvuGxUuk0BFj+K4Ql9adN6GpjBa048u3IUiSnJ+KhVNKBUYMtJigOm5SISHItBa\n0Cchs0ZNP3lmAmVuMhs+yiOUOjpKhO8RrweO/sqWWLBtRaU2oUCyaYWj/X96iwAAIABJREFUUmgu\neJ5OA6vAWmWu5PF8baOJzOytf5bRu4GKAI7A84NEh1ZWRK59Xp8DkJ1C0FFa2TcyYCgVsvY5Fj0P\nllUtZzBLC/jxccmzDs79y/c8Nzn+lb94ebL/Pz7vMc2aBM8btFY1rKHRfYZZAsOKtRS6zy57YD1+\ndD+gHWfMKornZ5YaZ5xJsT707slNDZqxVhvhMwZ8PphRcmh6kc7/l46fouf/0jtpb76kN7zyh+ji\nWx6B40dzjZ5dFJXm9xaK3jOQoJ1tuJNM6SR9J1tCbyKi03U6PzLCzZaw8j5blsewwGHBGkvu/TTN\nbvA1yj5l1puv6USIJB8VmQP9uSOFzNa7B42LsRCZ2Pg+HefZL8bksBjrOL3P8vOK/2ZCn8/QPp0/\n60OXx0QUnyPpsiWO/HO0X2YCdoA1rAXOJowE8/+qUHzuZLgPS9EWynzMqb2vOSg+x1kNtp6VBflO\nKpF4kqUB1zRU26TFLffJ10OUzlUJStycXk1E9yei/0Vr/cSXEdHHiOhoVVU/Utf1H/fq0eFwOBwO\nx40SH/n7f6ErXvJOeuQjvoye9NiH0nizzPfe4XAcXJR8mfgsET2pruuPERFVVXVPInoBEf0MEf0+\nEd34v0xUFQ1HGzA6iL716qJp623tXP0Y2d/LI6umpSKMAq9f3JOt5rjdkykHkigvWIQKmEk+eIy+\nz/O+WRcho5sxcgsKPG2O02JD63Gn84kKWSHrTZQF0pEkZBEHixlt5JESFCXTUazUYrC9AFFcKyIC\nr+30ZFt7qtARUWOFy1mwxFpRZViImojNYi9EjUfNdY/ZYti0fMw1B3MRudK8YBS54rVw+EjD8Y1z\nMrcLWcVxAF4xzwtHVmVEbTZLMyYS0X4Y2C0irVEsQteRLRspTjwqCmZl+9LnIY1sJ2ssRPkqkREr\nzbYw9HsFaT8sTjnKyDJk1mUCbIpLuPd9Mw0oSs7jkuOJmT1h/xy1TIXvWl4PW9vrB3lz0v4xKK+D\nI9W7O03EThd2LNUlWNbeKDOBwO/OeiXHmD7Pll2uzh6tVjW95ff+mn7nHe+n5z3rW+jBD7xLdhwD\nPVP8GYSy/m3jk8dNDjcvVpjdUBo6SzMlP0+inaici3Aqiupy9DhdF+0kDJgJ20w1dNJyHM2LLmaI\n3mPoXnI0G2nvcDFdfk+2WxijLB7K1Fv2slKrt31snGyTbU1PZU1kf4fJ+eJ97JC+EEOwbGI5Ur8D\n9BSl4IyEzC7MV3y/8nUUj7GyEdLSl61bxRiPKz3ERUBDwSsT6Uek/StncQ6xxS3QR8hshNR6lKDk\ny8Td+IsEEVFd1/9QVdU96rr+RAWqAzocDofD4bjp4MT1p+n5L30XXXd8l17/ih+kS2519HwPyeFw\n3IRQQmz/WFVVr6mq6mHh36uJ6B+qqhoTjKs4HA6H46aOa794ko6f2D3fw3CcY/z9P36GfuDpr6c7\n3u5CevVLHudfJBwOR2+UZCZ+kIieTkTPCr//TyJ6Nq2/SHzduRnW2UVVUUZzQlUbm2qj6e/rbXlq\nmMHpvkTMaaTcWVyFUodN9VCZ2svTTWwFCWkgy5y2ZAnIolUooA4hOlikIQHKF7ScozTdKueJU8nI\nztVM0YN9LFpPUsTGfesrpoPCxYJ5ktt0ahhRdaTwT6fox8CeVYL7YnrU9JSoignmJ1J7Rvl49FxL\nyoslqGah9FJQQHg8M3Ftc5XSnwkRHhKEx775fGqnpEkgepNlN9rMgTwvXFPrWSnVUIuBk+sIIRiZ\nvtftIhrfEFBKSqHfL+j9V6vn4X1/88/0ujf9Bb3+V3+Q7njHC+N2TZWQ1BX0fLJlMK+/LjvkrnER\npfPFds7oGTSpGIDexAYG6Hy+TmmOUWKPadH+uqCpdl3nmZXm1b753pLe/o4P0Bt/+6/ouc98NH3d\nQ+6RHq/WCBKjj8Uc6vlHlE+E4SjYWANBtS1Gz99VfE8RpVlaYVoVhZnecdG4ubat0Zri2QijbYOU\nOJ4x05yatpjaUs3b7yUSkFvPymmxlG9x4dqjF1ol89wt5bskHUdKOQZW70t+nufZWPV7Ro77ulVa\njZqIaOvI+uFdzKUoO6VFy/b5cxBVkOZ7KT8V2eZXV54uhbRp5baOC/oP30vuG1GapGCb29MWsUQN\nxei4YW3LFbeJGsoTX9MOmAsp2B6HNnj0qDL3Tk87WInOLxN1XZ8O2Yh313X9v9XunX337HA4HI4b\nLf7dN9+HrvniSXriM36T3vy6J9FtLjl2vofkOEs4uTOl57/kXfTZq4/TG3/lh+h2t7ngfA/J4XDc\nhFFiDfttRPRSItokosuqqrovEb2grutvO9eDO1uoqvU3ZvkNnaPxSaEpFbnpsnOM4th5LprSmIuo\nq2U/ir6Nj1i4BDINHJ1NilwZX76tyJaVabBEikTNtfC4RrJY2kYexdLjgSI2ldFogxbrWdkFolw0\niVAqIOW+OJqzJRwUORol7/NCiY1RlkNC2znK62D7vTm4ntMgC8FRnUNHGjFgfA4MG0suitclxtWZ\nDxmNRGJmvWYk+LqXQmjLmQ5tDoDO0z9rNELePNqKxlxiBWtZpSbHAQvTrsJs6/NEZhVk+dr6Icqj\nxUnORV2bHPMTH/sQGmxs0OOe/Ab6rd94It3uthdk8wqLuYm52zm+thucgwwuymhGu1tjTdbJM8UZ\ng/XvMioqLSpL0ERdF8n/sp9kXWurZ2SrC1431nsYrTVrLiS0OBatyf/z8avpp6/4PfqqB96ZXvhz\n30njsT1HscCjWE9sHAEtWMM2Ng4hwsXSGtHxImtrK5g9yLXFx6Ese/Muya2VOforI7H8E0ebZYaC\n90l7zcPE9xIUggOWx829z4XkNMoFzJYImjPQm+I+cZ+jQS7aXYRMAwtu9xKb2e6ieDIzzvdhIMwl\nZqfSoq+lNvAom0Ahuj4GZjEoy8y2vRxx35YC49DW1fI+K7vV0swER/3vMomVGGNbV4njdGG3ochC\n8Nq6ZNR83vI9YQvWaxbNM3Jy1W4lu7MEjBiVXZOZCR6/tM6dhf3/HDIgV81mcR9nRaYge1eKkjft\nFUT0lUT0Z0REdV1/pKqqy3r14nA4HI6bJJ5w+YNpcmhEj3/yG+hNr30iXXbpRed7SI59oK5r+q9/\n8Lf0mje8l57zrEfRN33dvc73kBwOx80EJV8m5nVdn1DOTf2+sjgcDofjJosnfP+DaTDYoMf/8Bvo\nrW/8Yfo3d7zl+R6Sowd2d/fohf/p3fR/P/EF+s1X/RBdeseLiorqORwORwlKvkx8rKqq7yeiQVVV\ndyWiHyei953bYZ1d1PU6lQfFmcCDGQn5GMgnH9E6GJzuTGpEWGlRroQr2qpAOpEpVvNpLmpE0GlU\nSWtBdJHsOgqOkceheTXPA3PBXt1I5ItSxIg+Fs8rrVgMaGaaKrA3a9KozT3hsUphW97+cLRKzkPr\nQlLKLOE89yU992e7KZUEeXQjIe9inq9d7pPT67Kt3ZPrNK2spt3QnEL9CDHnLLa2PPQTwwBEVdO1\nTzrqwJRAjpGFiEwFsCiQCHIO9ZrvWn/x2pGvu6JMEBFtMFEJCOGtqrsIWqiJ7tFivqLHfPP9aLG3\nost/6HX0+l99At3trrfO2mr6btbw9rF0HwKqJ2BRxGRby/g+ZUpJvi4k3UnPC3rWEWWSxbeJADs+\nI7lIltsqEbvLvs7k/YXO/fgnv0DPfcF/oft+2R3ozb/+w3T48GYyvrYxMlAtIGuN8Twh+uJqo/35\nl/TTIaBW8jYW/lp1mqQ5BQt/JbhVWCk425LXyYF1ICxTFzHXTC6pwHEM+a6NVKOtZtvpWDdhlY2Z\nBc7RxGKVf8YgijUD3WdEeUHU21gnSzxvJygVCB+VouaWMSTtI/pvCG5LMTdTn+SblylDfSk7TBO6\nBNR1GIrA+nFVi0EKtpmCJWtD6HEPp825kXon2ttR9KykgnfYFulUoh+mN8n54XM/Pl13Kml/8Dno\nWfqh5NPmx4joXrR+Bt5GRNdT4+zkcDgcjgOCf/9tD6AfeeLD6InP+M/0z5+85nwPx9GBd/+3j9LT\nfurN9ITv/Rr6+ed+Ox2ajLpPcjgcjp4ocXPaJaKfDf9u0khEzZsgkqy+AacVp1OBF1EufJXnZ6Jg\nIxIgEaOEHfaJSxVhQBHu5PhwHMpCLI0IgCkWB9FQFiKmc5FGqpOqzxt59kELVKenbBs+C32tG1Fm\nImaLlrm4rxlz+xzCPqN1YG6JJ6NxmTg2Ec5xlkNa+aXCS2jVC7ahCtVaNDkT2bJToQrwaSGynJ5K\nK7WjtroqrzNQRWedkUACY7kNtWGB57N5JyDLR1CNvWc/jKQqe4gklTyL63G0j0GL9vW5RI3IUe6z\nni3Z1rd8w32oXhL9wFPeQK952eOSDEUTURYVf0NmC64xyxCiMBs6iOshtyRF6264lb6jksynygxz\nBo6oyUjIbRbkHJcARvINO9R4DMhG7O0t6OWv/m/0v/7x0/Salz6O7nzZrWL7lrEFMslAQOJbnjOZ\nuW2Oz/tsMm7tmRh5vXUQLvPaQtmBUYjon5QiVrbXFFFjjspGC00Z4QbPOAuQ9Vpug1W1mqPMF4j3\n/HQ3zWwhm9zPi0gyR6UnIPpdz0ImILyP94D5C/oM4HmVGRDuc7tqto2NzxYEFikj8fOpsE0KhY9N\nUtt7ZPXO90Pa/XJ0/Yhoa9Azup5lDsT5vH6Oibnm/o+g45k5ILbNlNXr7YU4G2UHrlZiaSmy1lkX\naQN7Msy5FIhzW9Emt2e2pgutb46qqv6ADG3ETcnNyeFwOBxnD9/6yPvQcDSgp/3Um+nXX/F4utud\nc8qT4/zgU5/+Iv3ci66kO192Mb3pVU+irUOb53tIDofjZg4rDPGy8P93EtElRPSW8PvlRPT5czmo\nsw22hu3LIZaI9oMiSm5lMvhnZEEJ+zT4sgw5/sNH0nT1SkTL5iDCxVFdxAXmb/lJ9C7qRoLdH4oC\nA/taxvRUzitGegoOAiWZgHC85uAT2fNZnhVQnOmOCHdjYbjM9mUFhUTNq75F9ziSKaNSVrQYaiCU\n9gZZskroCBvS/UQbYmEZaBaV43EJFmVsQ1yPzkjITMII3AfdPrpvfbMR6VrUWimQwTF4/GiMKMKq\nj5HHDdR5RA3PHGVdUJYQ3RPrvYKyoSV49DfemwaDDXras95Mr3rZY+nud7kEFj/k9Yy0Zdb6Rpak\nDGzBqjNLDdJIb1rYTI6B7Uw5+3DyhHivTtu1ANJOU6MkEy0BrWFV8crm2BUdP75LFx47TEREf/JX\n/0i//No/pqf+wMPo2x91P6qqqslIqOuVzyd/PiS6HP2eBM+WvJeckeCMfaqba9cVIMA1ya9YzlBs\nCm0ZsMdkHArXsQOKgTFkVPeCjbxgHs+/nfHNtQb6PUBENA/PsyxYxlkBPs7SHBA1kXOObM/lfQhr\nsbGutzUT0Xo2PCOfAdaqF4n5me/ltuYN8r8vOFrP45dcfd43BbqC8Zw/d/NnaxJeNBeLNTBTNrBE\nRKOCzIS8D9vh3iO9APckM1es/7gg/D8Qyw+9+5dhiXAmSf4Bzld5UqxT1kHwfZZrgH/+yO7aE1vq\nKabKNpYIF8qLfZ+FLEXrl4m6rv+ciKiqqpfXdf0VYtcfVFX1wTPu2eFwOBw3aTzyEfei4XCDnv7s\nt9CvveSxdJ/73P58D+lA4Xff+X769Geuo2c++Rvo1974p/SBD3+CXv7z30v3vMdtz/fQHA7HAUJJ\nqP5wVVV34l9CjYnD525IDofD4bip4Bsffk/62Z/8FnrGz7yV/u4fPnO+h3NgcHq6R7975fvpax90\nV3rGc99C1x0/Ra97+Q/S3e50yfkemsPhOGAoUVv9BBH9WVVVn6C1m9m/IaKnnNNRnW1UFQ1GG8pK\nMqfqWKIqTucmKe6QVeKUoRSoLjOrzdweFQm2EZjmIG31OM16KIi4JAUFCWAXipay0UEp0bQRaN0q\nUr1L0Kc+HonSdGVeIpnizmkR0aoOUTLC/ZC0CEwvS+kQ6NrS6s11tq0NiK6FKChMaUptWvNtLMbm\nFDRao6giLwKyHdYUCAup0Lt9PSNr2BUwAOBRDMB1Q3GsEoSjffIqSihPKaWE13B+nLaLRuYDJXMv\nj5fQ21Alb3mMXtfWcyf7h2tyn/UGZBr/EQ/9t5Hy9CsvuZwe9JUx/hTXCq9lSVtEfWt6k1WlXAI9\nz1HQKqoHM62DKU3XX9f4M+6cWAsdmd50WtBHZUVnDaZkbh3J7U3RGLvoh21YzZv5esd7/pYuudVR\netEr30OP/+6vpsd88/1oMNig1WpF01PLMIbmOeW1Pp7kNJ6N8LM0FZGW00REQ5L0y/xdqOlNCe0H\n0Jtile6wLxVu53+a8H1bBJqGFJAyTYnrFSM6yM4yHzMLf28zFELYcC/3wGcq+l1Tgonyz8iEwrnM\nKVlHuI1gDvA58RJiEa2k3jBNhulNbH5B1NCb+D2PPls3REVlfi5nYbnuiHu7Deg7p2Yp3S+h/Q7S\nKuhEzd8eLESWd1lbq8o+7zBOqV/rPrna/fp6h/Nmzu8QqGKS5rQNKI8WIsWK/wfCfNnmxeE+nL4+\nGJKAd1tKi14fz1vm4HPhQvHeuGhzvaJnYWFLitg/BYtXHs9JYYEsKU+MvlSmcSElkdE503Vd/xER\n3ZWInknrGhN3r+v6j3v14nA4HI6bNR72NXenX/jZx9CPP+dt9KGPfOp8D+dmjVO7M3rj2/6SPvGp\na+jOl15M7/ijD9N3PenVNJu1f+FxOByOcwXLzen+dV3/LRFRXdczIvqodcyNGRWtoyVImGcJSJNv\n9AUWozKCtuSsRTxPRkX423TzDVoLizfHeeRXWrwxcFQkRCSm7dcmI8uoSN8gtGcJYVGkXkeP5c+N\nWHmQHS+jQFb00coOwIxJ+B8JbaFtn1FwCUXjdk6st03m66iIFbGXQBkiaQnL4GvR0SY5xpmYu9lu\ndxHDJGO11x4h5WjaCETXEBox8Pr4pYgEooh+PK/Qkjhai1IeEdNj2A/4GVyCCCZHkmWEO/bJtsib\nIDZjzK9cp3puUeQTjdWCJe6V91333WVuYN3Lr33w3ehF/+E76ek/8Rb6lZdeTg+8/6VxzfL63lrl\n7kKoSKdlWoEsvWPhOHEf0LbYZ4iwSrMIHgdnlmU2YndnnaWQcz8apVkXJJyXWMwXyXGo8GJJpuhT\n//pFOrJ9iB78FXeme97ttnSXS29Fd7jthbSxsUGL+QpakmtbUzk+9Ewt1fcSuSbRPYoWvYUmCNoq\neHOQZz5Q9n4M2q9DtuK6en3eCUNsTUR0yxBR5siyXAMsvpfXqz93YDbbyKxUYr1y5FxmVoYc4V6u\n27haipTVmImIDoXY9u5efp+tIroM+VnD4u/r2cJVjouj/ODVxm2gjPWpqmmDr/dUaF9miKZAOM/R\ndx7hJYebrNHqejZnyQsXlhrsaIxE+UDOcLG97CGRDeKshbQYnoV1wxnNLoMO0wjDeKdz4cLxuGkr\nWsOG32V2jbfJzM+OkZngLMTFoo2LQME+C9bRv1lV1cMpLdSo8QYiul+vHh0Oh8Nxs8XXPOgu9PIX\nfQ/9+E+/jX75Jd9HD3vo3c73kG52uMddb0O/++tPy7bvl7LmcDgcZwLry8RRIvoQ2V8mvASqw+Fw\nOBI8+EF3ple8+HvpWc/5HfrVl19OD3nwXc/3kBwOh8NxjmBZw156A47j3KJqT71K6opM1xGlIjmu\n7GxVlbWQVq8NdApwHKflUT9WVewKpMsl5WapIlao4rSkDlgpayj2VCJaOT4eB6pQyxSd5Tyf6xGg\nJlgVxVHF2TiORBjNbWSHx7FJ6lCtqowj325OKaf0sVyMpqkMibgspKy3RA0RLf6WqfS4TaSzTwea\n0xx4c+P6KakvuFwnLIzm8QxkOhvQ8HgNDsN1bK4EnQ2sYU0bw2LovIo2gkVvWgKhIGqT190SmiG0\ne/QzXURSPpgaVoPrLqFiyfvAFDc55/wOWYB3EN8HWccjrnlEr6GUxoYoVCWicSJJgdqgBz/oLvRr\nL/t++rFnv41e9qLvpod/7d3X/QyJxmMWYw+zPvl5Q+9Hq3YLeqYscTx6V+n2zyTSb65Xk8JVSIsw\nqmKXQNJmrTYQfZR/Tsi7fSvO87MxSN+vsv2ENjZI1678zGOazIlFMEoRlA6mpUjaxigI2U9+cS1i\nRRRiCU2Tg+8SIBRmTMTccQVlKZLlnyMFSnw48bhlzYQ6/GhRskvrHPHPh8A1XRcoSadGTftHLz5E\nRESfDmNe1II2C+b/uKrGLKsyo2rjTIPaCfsk7UobFySmFOEe7ZwW4+kpOubjmWol64/wWOW209Nu\nWjGioGmKXxuYSsb//+veLO7jNcOr+u6TSdzHtVU+vdcYSPC88zUiQf9RQeGSlcRLsD+SmcPhcDgc\nHXjgAy6j1/zy4+jZz/s9eu9f/BP9y79+iR717a+k+iwUSXI4HA7HjQP9FBY3UVS0jpTJb7XWt/fG\n8lBG6kO0zIjgSFGjjoR1idI4qoMqBetjZPscFR1J0TEQAZNlPVtQ1bfrG7TOTMgIvRa+s3iKqImq\ny6hXraLxaKxSsB3F4uG7sRQW8s8LIXZnC9kY/RLH89hQ9sG6NxsgsoUivDrqPQBRUVn9lMfI2QFL\nFIiAIvtybUb7QLBPW5JubcvIZJ512VTzhCrCy23aErIG0TUJHVVDVsYSc3VtyM5VYjlvj95roGiT\nxABkB0uAKh2j9caA7695ng2Jx4MsZN+q4RqoQrV8197vy+9Iv/7Lj6Mf+Ym30Auv+A46dWpGH/vH\nz9KX3fN20C7WWtdsPzoSGm520eRs0cYEZAJhZiK/N/q4JMPKAmaQIeaoKBKqD0A/uvr7ul3DVhtY\nykJDkVgFvNvEAhlKyDkZgmvSgGJ9OK7uSGySkQHidQa3IUXNHHXliL4UyXL14BPXnI7bTuymQnh5\n32MmHVmYW88UiPajLMqChbOyOrHKSMh9UfgrrreO79p2UxYrayG3sa3sofGYiIjmom8WsiOr0atC\n1FvalUaLXjFWXZ1cZl34OHm9bMcabVrFkrkeMBMYrPmW45+qoAWq/iwF2HwlnwPXezisqaMis3LR\nsfWcbai/34hwOYG9ZboNvZfkZwaL478QhPky08DzyfMlMwm3BOLpS8JcoDnnzATKFJXCMxMOh8Ph\nOKfYPjyhV//y4+hnn38l3ftet6N3vTszB3Q4HA7HTRSdmYmqqioieiwR3amu6xdUVXVHIrqkruv3\nn/PRnSWs6pQD3wb+Uqb5xRIykszR/pIIMYKMTiHus4bsxbIR5MjQcNTdJpHks8sodhqJSe0Q26Nw\nkjPNaArNcDGgfL5QsTfLPlEi8tIHiJcfrkkEGjQHWEZ3kK2ejgzL+6a5tCgTgLIcOIOTRzf0vEo9\nRbSNFWMdjtaRi2nYtyuKbjEvGGUMELReY7Vs+JoWH5fb5Pu9Pje/N1GnYXD0E22CyjDIqDGaa31t\nydqZ59eh1xuM+nPkV0SBzAyGut9EuX6JqMlkoDfJIGYTwDMC2rLsruO8Aj1Sid2sHkcJlsslvejl\n76G/+9hn6L5ffgf6s7/8P/Q3H/wk/T8//ajGLno319eg6J0116X2w8w3t6wkOZuAnjdLV8RFqYjy\nInFybKjQqdauJOOJGQqQTZHvuz3uh/fJ5yF9/uXzAS2tDR1chaLxRlQTRcRL9CmWLueUjECrrI7k\ntSNoS2z5PKAikfo5TrOieSYjjiNk3q4T0WyO5Es7VJ2RkFHjuE20Owr9c+RaZpQ4a8/vX8v+W56r\no/hERNeBonI8Vo6SHwdW2jIzxE8Et7QA901mXVgbwgUF5WcYXxPMRIOsA4P7HAE/IakduERF9KWN\n7edDtuKIGOsRtp4Oc4iK3aL3saWZQNc2C+NHc32bkHk7JuacLY+PgAzREDwbfO5A7DsB+rJQkpl4\nNRF9NRFdHn4/SUSv6tWLw+FwOA4kqqqi1//aE+gPf/+Z9PCH3p3udpdb0xe/eIo+/NF/Od9Dczgc\nDsdZQIlm4kF1Xd+/qqoPExHVdX1dVVV51SGHw+FwOFpw61vdgh7/fV9NT33yQ+n6k6fpFkcOne8h\nORwOh+MsoOTLxLyqqgHROodUVdXFRGTnzW5sqGtazlc4RQ4sQ1nkhy0i+wHRETYMcZktdmsXDMr2\nOU0urVKZLoJSyYiaVEJ5SCtmp6lhSSubz1Kak2xbC88leBsSzkpRoxYzIpGvZXErBaScppTUJi2K\nRTSEUptgphOMVHpUIqUtbcD/JdC2OHcdFLE+VUOXgD5mXXdqlcjCuWZeeR0gMeqGQe3Rbcqf5TZN\nJxog+ssqnx+LSreMx4q2R9nh2XpO6GyWZSMQi6N7ZKXQEbg9fm5km3qsUlRr2afyczNKKk4Pk2Nk\n31I4f+zoVtK3pBMxlqEEc+kKRe/aaKs7yT/qrHftGNB+Nse5WJzb2D66FmKieUU22fyMzzoosppS\n2kV1Q7bA+vhZmJOloL9w++Ot9nufWsPm1J6GurFMjtkPeJ4Se/PQPZMtdxbtcydFwfzTrY80MVCL\nAtlcb16Rm9cRssmVNBvuk4WzqCL3HNCKmGqEaFonZRssug19J6YmM2U8AYThyfjD88tjXIpxcY9X\nzRqKqyUWZ1wLKngzvWYArk0Kf5nydEGg9F27O82OR/eIIak9PI/cNxqr7JuFy8hala/7JKCnHQHU\nOPS3x1QL/4HpAvpbCFZND9d0SaA58f9ERJdurtf6AojREc2JRe5L8bKd9XTcK3lP/woRXUlEt6qq\n6oVE9FdE9KJevTgcDofD4XA4HI6bHTozE3Vdv7Wqqg8R0dfT2mX1MXVd/+M5H9k5ABJ/ocgKZyRk\nIZsSu8ikL8MKz4oGWzaWAxBhiBHZPRmlTSMTSfuF17EMbXAkE/Utx8j7OeK2e7KJlMS52OPocTOv\nNYgs8HHoWzuyWaxi34swrjzqgoDuDY9VRvYqMP8MHX1IIrggMqHJ2cw9AAAgAElEQVSjufIa92ah\n2Nu4eSx1dkaOeef4XtanjuhN5nnEF6153V8XFiAjZo2VrxNlpchYi/L4lbIFTIofhmcVRWT1mIlw\ndkk/l3J9W2sAwcoYoOdf3nM9Pu5TzgU/n2yhie6DLHI3ChHVGOkW16YLZSb7QIRYC22tom9yG8yw\nhGtCAuAa3GdkdxnFxsv0PaOvpQ3yHbEVoteTwyESeEoUiYwGBvkzzpkVFM1G0VOOUO73PSN/hp8x\n4ZqWy/xZ5zUwANF4KyuV2MYa99IsyAfaR7/zGkPmFTxnF4s1c2xzvb45In5cRMY5qjscNc8YZ5JK\niiDK46xrk1JlziKg6C5HhmURupGKnCNrWGn9yZHk3Z3152wi/FVi8eGW/ZnExx8L76CLQOT9KrFN\nZ1RkpJuF1ygzREakW779uM+ToRgei9iJRHHYMFb53mhyJzms4nVHgXCZsxDIKvXzwjaW7xtnAo6E\ndUVEdP1ymoyZyM5I8JqX18Tvlen0dHY8Z3COgqKMp68P62KWC+ib7Hpz32ZhrW+J7N12D9YCkfFl\noqqqC8WvXyCit8l9dV1/qVdPDofD4XA4HA6H42YFKzPxIVrrJCoiuiMRXRd+PkZE/0JEl53z0Tkc\nDofD4XA4HI4bLVq/TNR1fRkRUVVVryOiK+u6/sPw+6OI6DE3zPDOHZhuItPlTCPgFPTOiSZxhlK4\n4+DxDMVuwFebwdWYEZUJiaErQCvSKX0pwOpLb2qqjebVVa2aEgMjDYYEzIh+xem+RaNziqk5SBUJ\nKUNL6JSKfHOKyGCVzmci2AT1SLTwXdJHNOVGVm5F1Xf1jMn7bFGluB9JH+N7nqRFt9dpSk5XVoCy\nYondkSc537eE9jcFFBRFKUnXWkjhjtspMXJcLOBfApF1HIO4b8sOL3XUn96mffUR1QgBGQVoyPvG\naXt5n3nNN0Lspq16mY+H/eWbddE8QIjKMDKeVb3u0HM9F/PL1aeZ9gKpboBGwel+WeF9++hmct76\n52VyngSqb2ABVTPWkDQKPdakevAqpY/In3ku5LOI6hXwM8vtozVmVWpHAmxEHWw+R+Qc5uL4pl1+\nPnOjAHRtTfX69iraVhX7ZIyAuhY/z3azJiLkez4K4MPvpwWtZRL+l+LSwVa7OHxI7fQx9LnOx8ln\n7IIwB1xfYije85FCI+hBmoYja1BwrYOp+Bw6tNG+rnle+R1x6BY51RXR63gMTNkhaig0h0XfH91d\n3xSmMsmaEky1kfUZ4rXw9YprvSa0IeuEcHt8D+99tHF92xqxEH59jLyn3IasxXAS0IksaHGy/J2v\nTd6rOAfh/h4bNzQnRI1raltRto+fPX4nEhFdtwrUSmOsSyDaPxmen+u/JP6GVX8XIjqrfLcdm4yp\nD0pIUV/FXySIiOq6/v+I6MG9enE4HA6Hw+FwOBw3O5RYw362qqqfI6K3hN8fS0SfPXdDOvuo6/W3\nsq7KqJYdKrLhW4VoIK6UG6JGIEsQ+5YRKBXFXolv1zJKyeDIwu7Oegy6SrMGssW0wAI+ZAvIkcta\nRiSN6+SoK7JKbKK6Yl5VdUhUcXYIvgeXZ2SCPWOIqslshJXBWS7BGlBrBkVp5TYtOqw2ZMS33YaT\nI5mnT8nMRJ7Baaqfr/8/dLiJSvHPUgDP7fL/su9oWznPrxXNtUYSwd3Ko+ucTeD7kNgJT/Mslu67\na83HatVGZV4UBY5CZHGcjr8uxfPZZLpsITIDVXE1xaiD/LlhsIWpFHBzVFeOR4urZUSZt8XIM6ji\nLueJs0WD0fr/GtwjS7CNqgejCDe/Z6T1LLeFBIyxTXE8R2dHYjzRfjPcI2R4sAcsW2PGSox/PEmF\noEmWI8yLFHFzhofXx6jQ+Nay9JY2tvp9hNbYapVnDlAUtdKZRpAVsYT80jIZZazivr38PWmNn/+X\ndr+ngy0riuByxPpqUM15HKK5h6RpB8hYM2LmSghbm8/u5j5shs8YnaEgwtacDI7Ky8zEVcKelHE8\nHHfp4XUUG80rr3l5Pup7ulj3xZH3w81HDF0Y5mUmbEc/M0zF7klbwMKUgSp5T8O8fFG0FaP8fI0i\nU3IRZxrDnM+EHS9nJOS4ZgWZiVPiGG7jGLDh52u7tZgLLZyX902KmRl8n+Q7Qe+T0PcrGVXYx+OS\na2wLZGT5cwH9HcZrXb6/hmCMFkreZJcT0cW0toe9kohuRU01bIfD4XA4HA6Hw3FAUWIN+yUieuYN\nMJZzDphBANkIy/YOFcpijJC9IWg/WnOBKDYCykzweDg6izjjA2CLiq4XFrdR/HHJo+ZIpIzeldg/\nIl0B4iEzYGE0viZZmG6VZnXgdYjvzZuTEE2IVrVd0Yug0wB2hRZQQSo9F5jzmtshattiOQ6UMZAR\nhqbdPCLJUXKkmeDob2OJaVtumja5gBc9j/bJy+zakP2rVagNrfWNZdpnwk83MnVIM6Cf4wpmNGUR\nsHZOdnyXUH6f+Trku8HKckQbSHH9w3kevZcWoUSYu24WIESZKFAoUBe0IyIaDNbnciTZsuMkarIJ\nk3VdO5gl6JttSqw2eficlRNRZlT8kNHwipt7y/xmZG2rn62krXF+PLITtzKf3Oeh7SZSygVCtT0o\naiPRdwG9RnN8PifxekX2ocl8tK8j9PmJrKTjuOS9nChtnJibQ0HnwFFtWbiMo80LEEnntSB5/8MQ\neZZ3iDVJKKuI7iVjRHnmgznuO8D+lfUdtxQ2n2xFKjMMHB1nnvxgCN4R4XqlfoF1CLKIXjw87LvH\nZBK38d8V8tNEF4CTz9YC8PePq+yAjLbzcQupH8mvJILXQx0OPykKF6LMxE5BZkLqNU6HnzkbMhb3\n7VRoX1r6XsI6Cu5PzOuE7Wv3ZNY4vTpkPywzbteH8XC7R1DGBNzTC7fYqjo3zEV6MO5bavtK/85h\ndH6ZqKrqvUSUvR3qun5Er54cDofD4XA4HA7HzQolmolni58nRPRdZH95dDgcDofD4XA4HAcAJTSn\nD6lN/7Oqqvefo/GcE1TVOj0mU+9M1dndzb8XIXEZp4ZkmkqLAJM0cEh9Mm0BVRtFfUKqjmFpyXZ0\nkoYRKTGCslIr6kmSPg+paktAiigoyfgVhUna5M04hb5qT2fviRTd0qCzIGQ0CCEgQ/QDFlzzeTMg\n/kRWms19yx+baK8H6Gao2jKilrHQFAkdEZBhgJ6LRDjLVBownumpVJwl+2YqnbyOTcMyGK1hHtcS\nUPt4XLLvPcMCOF4PmBtkeYgIMY2Is1kfTG9C87Mw1mJjxykEmAb1oUS8LhHpY+L5jNeZuz7CtZW1\nOShbY9a5iJbDz568V6PN1AoXPddMbZLt87s2qSBrVI5F4+FnfTwGYshYvbrZp9/NUijJ45LWjXwu\n9yM/H9C7IFYzD/Nk2Y/Ka0Lg50YK1PlnHjd6Pvm8OXjvSfBnZBSNC7MItvdNBJvq/iZzASiZ6HNQ\n75PPJz9T/JxJIwmuSs5Ve5GAVtJfmBrCo5eVjmN16Wk+fmT3je6RNt/YFtexAyhGDB7HEFTH/rSg\nOTGl5VDYJ+1Qp4pqJGlIVwPqk7allXPB8zgRb1GmkjEFSPbN1bEHYvxaRHyJEDCz6Pvj0ylp8Lik\nQLoetu+L1c+Na0OQx/C88pgvAHRKSeHia5kDA5ONQHFbGp//CLKNU6tFMkZJf9P3PqFybuafz7rv\nxIQj0hybNY9MMSyU0JxkJewNInoAER3t1YvD4XA4HA6Hw+G42aGE5iQrYS+I6JNE9KRzOahzhRpE\nRU+DzAQq1FZaJInB3/44HtEVCcyEdjLysdEumLP6RmI6juaOZXGicFwFosDRKhFYSZZCR6xQQTvZ\nNxKta1hCeFjcTx6/mwoKkRBJZkp00UAZEYtR2jkS8rdHp5tosx210ALbJNNyIlyPiIDycTE7ALJx\nVLiW+dxxjAiKCOgkf3Us51xgJ7fX5J9RcTLdn+zLiqwgoCwQbxsBQXg6fh4bW27KqGseDWWwtWgS\nRVUWhmj8sKhXgRBWYj4PAkzw7KaWwem9l/dBZ6y6nm9ty5yICI2icrpgmzzuFhc2os9hED+icUiB\noO4zRtxE+3y8zHycDrd1OOL2m344g8EZh+u/1ERMUSZDvx+RgDGxPFbRPjRPmyKqriPiXfcmFp/j\nol7IrID7FJ8BSyNDsonMMdi8QphFaMtWLTYlSq+Xx4ieA963daS5b3wPtZ21bGMS7K9vM27OG4AI\nPUexeYQyeo4ygeiZYjT3SNi/UntROe5TCn8tu9h4HhA6syhbZi24UBuLvmUkne1Dl0g0DSxoWWB8\nTETEeawjMOZThuCZx3Fr0dYF4eerxZrnSPvcsJfl7Iucw+tAAby+mQluF1nE8vXKbZyR2Dm+FjpD\nEwFpz3oqtXO3iu8SES0W6+O4aODFYu5i1ghcN1slbwlzhp3j6/vbFM7L/4aSxU+tosQIJV8m/m1d\n10kOqqqqfqXxHA6Hw+FwOBwOx80OJV893ge2/fXZHojD4XA4HA6Hw+G4aaE1M1FV1SVEdDsiOlRV\n1f2oyQXfgoi2boCxnXXItA6nYJeAtmCJbyWVYTHvTk0yZUfSZrSnPALywU/SX1ZdCnAuUz0GIJXG\nP0uqBKftOU0uqUdMpZEpdD1niKrTV+gJq++Caql6LiQdBwl/S4BqEljj70uDQzQe5J3P1zYZsYhV\npF1DG3tA0IcqtqO0JQsotRiayKa9NNV9G1pHU1E8pyGwlz+iXfDa6qpLwe2jyteILhevA1BEUK0H\njcVAeIZH3+6yd4OmQ0hBNqK/aQoTot6hbXoMcp9FKUOwROZoXhElC943ZQogq75f/6XcB3376Drx\nzXQi6bvO4ufS+iNoDIdivYj1WOfC+TxW7g2XdPTiQ824wy5J32EaFKLxMb0JUYhgnZaO+hv6GGQU\nwOA5k/e9qT3BFBxBNwVzqOtqSLF1s09WqG6n9ujq1bKNeG9yBltqOhDu1ya1Pz/8PpLzNqtS6gpR\nQzViMbGkujBFBNduAbRZRUVbX1ugPobn/iSg3kgS2HFVA2MKaEiS9jMMPzNdSx7PVBgWUkv6ywWB\nGiOPP66Ey1Mhhr4utHUHUYWax8NztwPmVYJpUVMgmj5iUJlmdX7foqicxy728fGJEBlQ3DSg4BwI\n4beZ5iSoRovTaS0Z+W5A9XEk5ZEopdJGaiL4s/ACUA081gAJIvCr580DxPd8BP7OQ5S96TyvnzLs\n+TeTRXN6JBH9IBHdnoj+k9h+koie16sXh8Px/7P3rmGyJVd14M7Myqqsx+1b9/ZtdbfUwo2RQC8E\njBmBjczLyDaSMQzCMMbYDPZ8PGTMeMSIxxh7BgMebMCy4BsbNPihAcbIY48Ag2FsZBswYAvmM68B\nfbI8tFBL6lbfvn1v1zMrKyvnx4kVsSJiZeSparUeXXv9uXUzT8aJEyciTubea63tcDgcDofD8YzD\n0h8Ti8XiTWb2psFg8OrFYvHPPoh9+oBjsegiCrkgNBfCmNVWmPxeKxOgxDRl5FNFojj7gMg5IqzD\nRiXpZe21oDIS8b1xLdZDxgaRIVXxN7OjHeW/YnMx7Wjpe2pcESEthZVmWlCNqFS0iBzWv6iHwjq3\nBWXlm/6tI2MqcovxGYtoXNn2MrQik7HSNEXQ+gg1+T7DLrlPxJfvQ8w+kKAU4lNZuVz1IxyHjImy\nN1Z2sS2RtbKGBaQ4jqrLxzETVsn4LO4XV7vHOVl8W+4JnE3Z3gmnoajUZCI8XtFWFBbXUa+JyGal\nqHQtqFQi7tZ9itEsYsTOwp42OqvvQ2kbW/69DGqvxZxkwbOq7F62r+xHF9TVGOmta7FWkUyOfF4J\nVcRv3zyKr0HUGKu4Z3to2JfEmsW6Y1MQla0s18Gg576PuQxzAG4jCTDT8WvjMF8n9b6NMee9CsJo\nXiPlXsbXgePV/UO/lIEBLGjNzG6iAnFod3KF1k8wwIDIP8tcD3PRLgPi7B26jnFoa5/EqLFqsJjL\ncR8e12PxxNnyqsycjShFx1MRXWfhL9pDWzcoWv6Szc3seCXcfpii2G8PmQj0Z5+uTWUTYIc6KSxi\nzcwsHMcR/bIKNf8fEXQWiUdx+bTOWh5vdFnLHZF16SO2VuB7j3HcEZkJjOeYzFb2p7l9NX/HVIYT\nmD8xU518J+Ka3RfCfIz5we00JsiCXL+3IwrxsyDuY/w9qdhLlOX2Camj14XJSgstmtOXLRaLHzaz\nBweDwWvL9xeLxd8WH3M4HA6Hw+FwOByXBK2fHtvh3x3x3sV+An4IUUbfRtHqkTjfKJQlovjKTqt1\njshPFRp3FY1GJBy/FVW0kKPArQJQCsh8KO5q1HVMa8bjGqK0dB0qugktP8ZnJjIH6f8UvWsVwBM8\nXlWQazjKbTiV3ZqMSovjB40oEyJ1KhOgrm0tRNeYL48ofCpQV3PdJQddjJOaAy3tBiKlKtMTLXGF\nnSuQaQLO6vtc9osLqkFfNJ+nOVZqOFZFs0uetuorz7VhIJ+iYKMapwFF17EGVaFDRJ7BeR0dKn67\nmjPDrO1lKMdxLObfcJgGNK2R5ePPczgeL7JMrT0k7V80ruE1jL7i7quxHorxjWtK9BX3dH1C526s\nZxXZR0ZiQJcIqQDWOkcCj4rx3KR7ikgjshFmNB9kxrcuglhmNZXNdG5JWjVbYUbW0KNRvp45E9C6\nD2fzkH2gvQ37Vqmd4LbU3ozPbe2sV8dzfxBZRQaKrxvnPKAbdzAPdrQiAo3I7c5ubTS5G4b4KkX2\n3xNsUGNvqJCa0r+U+6qyQ+ZI7mODro2HjrvzcGZC9R9z8FTw/tFvFb3Hvxm3P4wjZysAleVA+xgT\nzlpAD/GwKASHtg5UdkBkQ3A8rzFkPriQHfQlj4cxe6fIUDwQjj8WGRzOlKydLZ8z5ef4b/y7LaL9\nLT0o78cqew+sC7t1zDE+GuMyv9Pdm9uPpdRBzOiFtm5cT3Mf19tiKHBfle5H6RtbaNGcfiD8+bOL\nxeIX+b3BYPBp5zqLw+FwOBwOh8PheMahjzXs9/V8zeFwOBwOh8PhcFwitDQTf9DM/pCZ3VNoJu4y\nE95sH8aAAFtVXlbCP6RflRUepzshuIQ1J6eNyhQR050gEJ6TaLmkQcwFFYiPwTnR51bafxWQauc2\nSgrN6SylaRU9qLxettwt+8hjvihEQfx+04pVUIHQ51XVtCPFpbDL5feGgpoACoAa1xb9TSGNAX9u\n9f3i61bCyJKy0qoUzu0hJcsVMMvjeVyR0t8Q9ndqzNGvsaBKRKoIp3yF+L58TYnw8z4vNz+A8Ho8\nqmkgZZtmaX6DKraYK2rcctG+opvMjhWtMFQFHtVjyPcZlX6V4D6lrHle5AJSRU9Jx4pzZ3MztI/X\nVlRxHYc0PGwQldB2Tdx7vKbmZF8aFeYpi9cTPSCILe+iKrHzXNg+2k/z+1agGPC8KOmKa0JH36Jd\nKmtoRa9tQZ1TWk/P8/WTjdMVdR/yNngOgz42U+s/vLdJ4wq20t4ijd1kqzvn0VlNNztdhPtFSwT3\n5qhhJ6oqSYP2syneOy3+NUvjcjpL4wOqipp/EJePttLxb9/vZMxvP87q/S6FslSN7wW6jzJ3hmCb\naVSohq2oOlcK61OzZDv6uKiYfdSoHh7716A0maXx3wnnYYoV3uP+wNoW9Cm2nn24qNK90aNyOPdH\n0Z1G1MakoIHtCJ7hfH6+Z720Wx/VexXsx9ksAmLvJ4KF9v6dmvJ1uN+N1w0yqsCz6Kg6eskzoDC9\nuQhamol16/QSa2Z2hV5/0sy+6MJndDgcDofD4XA4HM8ItDQTP2dmPzcYDP7RYrF41wexT08DFnY2\nX2TRcmX1VlpmscATvyD5l2SKlNYFvwC8dyZsFDmCW0YdlMVlq/CaiiZyQa61QiCdRbMb7aoIGqCK\nrKn+lIXjFiIbpDITLUEyo4wCq+JhfI3IUI2FULWPKPu8mYlsfBHZDvNhQBHujYnoTyF0HIrsAGwd\nu34UWSayf1Rj0Td7ZZZH0kchMr55hUWWuRWeEjCuj+r1o7IQymozXcjyrGJfoT0yAFlWqugPn3tW\nXFMW1RUZKxSkVPNVjU/rPmAPGVFWZzNEidUaidFTIbBLbTayfsLKVEGZFchMQ8OiV83rcp1xIajy\ncww1htijVBvrtVY3AhHJvcMUCSwzGgqZcYMoSnp6ks9TZcDAhg3KcKIFzINJMT9UH1UhxUxAGgw5\ncL2Lfl2Q0d9xqALIUeZHwrmeCK9NhSUmR43vIBsv2r9TRJ45Mt4SIuMdbnMU13MaH8wflbnG3xyx\nfyz8LYu4FX0ws0ywXAJt8NhBmIt+P8HR+yCgRnE1Ps9m6zzhPRY1z0WBPVOvBeBcHNHfKaL8fD/u\nDdcxpj4+EcYOWQK2qi2L9HGWA+eeSoOY5bhCfd0oMiUj0dSUv0eGjBX2IzZDOK8lNo7fGaZrunOn\nyy2ABcP7WFmEcmsnZQJhRHBuxgT1WTEMWuhjJHs4GAy+y8xebOSKu1gsPvtcZ3I4HA6Hw+FwOBzP\nKPQJS/6Imb3dzD7azL7VzB4ys195GvvkcDgcDofD4XA4PgLQJzNx92Kx+PuDweC/I+rTR9SPicVZ\nRy1oVbs2I39zVDUkrcvJtEslbZ7VajdVETq+F/5d30hpvFbqWgnDrSEiVqn9lpc8RN/sfRz9xCnt\n3YLyVB6N8iraKsWnxNaJnkJ+6xD+NepGjIhCALqSEqMqSgLur2pf0SeUh/x5INsMfd6Y1CJ/JahG\nmlPX+GicW9C7MppZSMsmykpNsdAVsAMFgvtfjLWi0vFYlLS9VSnZcv4o2p9qQ83rFl0hrk86vpzP\nGfVO0P1GxVzk9Yb7oGpPRKql9CavhXxK4I2/VcVySQMrqFJ9BcAjQctRVeIT1RP/pjbivkTzYjNQ\n6NAu6juY5TQCYKOo1Jpdd1jrfN1oV+2/oNVADAxRZNdWTmngv6WoGaYddJ8P97trGU4bdE3a207F\n9VbHq3oioT88L1D3oVWxmceJx30ZeCxwvXfC2F0jugbanYzSOUFZOQgUHabjcOXx2J/G3gchcqx9\nQu+BvnO3oDuVx/DffB9UxW8A47mg+zxuCIPLqsZmiQIEihJTmvAeH486C6jZUFaZNkvjtaoyNO4D\nxM1cmRt/qZFT7Sp6WklvYprTtVG9N18L709m9fzDOTE+rTnBx/etMzEu6G9ZlWjx/SW+14PSZJb2\nOTzPeb+A0cSWJepwWT9JfXeCgQlToPBc7ktzUv3n72R90OfHBO7o+waDwavM7L1mdv1cZ3E4HA6H\nw+FwOBzPOPT5MfHtg8Hgqpl9vXX1Je4ys7/8tPbqA4zFYmEn09Mimrg62pyLP7tfaYt5GrKzQlAs\nBachupFZXIrqodaI6KvI9lAIusv2lYhYiY7Lz/E55blVReFhnq3Q2YflYuu+aAkRVbVo9Icj6Gvr\n3S9/3F9l0cnAcbhGE1aMOGYsxNxZH8NrsJTMqwEvF3bjOsqq1CVSdi1Ebg7YEnO56YCKSsc2z+q5\nqe5lFFI3MmMtC+CsMro0M1g+J4Hz2iErqPsWrZLDHBiIjAYjVpwP/1e21FkPimyLsivmsUMUqxxz\nM7O7QiVUHs/jg1nWRkvwPBrX0UJeI61qwOm+LbeGZpRVXPla7tzqbDWnLDrEuNJ9HkfBbP04ixk9\nGp8+cwQRz12yN1V7G9pX0X41j3CdyDjw2EWTD5FJS/tAvaZ4P5psry09d/lc4Ps4szCvxTmx7w0W\n6URPnHX3d3ebKlqH6O9MrHWMy01K9yP7gLvLFqbHRQSaoWw+rxQR7j36HO4lC3MRLd8vROBmZpMQ\nmd9YI+FymAfTRjT+mLMJsGAtBMPcb1V5uVXd+3kbyx0DZvS5MiMxEVkSFou/GxkJMdYQOGdZI4jL\n1XWEfznjMCkyEw+up8g7XuPMCv7GdXO/yvmgMhPKHlgBAvWrwqoWwusjYSmdfbcpMoeKxcBMAOwh\neI2fz8gstDL6fO7IiBHfGZFVxP5kljIYai+ZNfbmvlj5Y2KxWPxk+POOmX2WmdlgMPiI+jHhcDgc\nDofD4XA4PvDok5lQeK2Z/Z0PZEeeTpydLezkeC6jcRsUBYL9o9JA4PewsjwFuP1R5PEv1zS0XlMR\nKMnvFu8NFBd4WEfOynOpzEpfLmAZ6ZW8YpHtUBoAFTkrwfdmZnkbqvASA5E/XBtHE1SGoaVxQQRw\no1F8i8dwVHDKV9nMVpaewg5V2xvXXHH8raLksciVyHhFXvuKuVAW5OLjlRao0mQozVEjw7UQc6yv\n3WofqOgu7l9WfK+R5Syzl9xX7t1pWfSR35vluhazej3zXoS/x8L6cziaZ5/jv5GR4LmPDEg2roZz\n1hk9yScuMlAq68TReETQDu505+b5WmpFzOo1ztE4jEW296/DLrY7jnUFm6EtREMfId72fcFucXpQ\n2zPG68isw+v5h/ugopxN62mRyWjNu2RlTpl0rJGT2h4c0eDd9bqIlgIiwrfpNUTHEb3n9pHJ4AwA\nzoloMEezYdd5TPz6aOOK/onIftm2mdlD0y4bwtkBRMSPw/19DxVDg4Zjm/pTaiA4E4D3OEpeFj9k\noRD6wdmBSYjCT4r5x8ex5gOF3ZCRyaxVw2fxuV2RJWAcFJkMHkuMcSvaz+8hm/AgZVHQBsactR97\nj3fZx+3t9FqprWCNRZl14XMrfcRa0f8dGgvoTu6n/iBLgYyBen6yNqGlaUj7nmJi1Nq4qKMQWdr4\nTBUF8Abie0YsbzBNfT0Kei1kqY/oOmTxyXM+Py/6tH1qilSHw+FwOBwOh8PxEY+L/pg4H9Hd4XA4\nHA6Hw+FwPOOwlOY0GAz2TP9oGJjZ5tPWow8SzuZ1KraVNlbCmvTZehhLO0T+3aZEk30q0vYRja9q\nQ1KslOhbWOcC0faSKDF9+pbabIuIo5h7WNOLFK2rtOFUVWhVRV5VcbY8RmHAFoCh/SR8VDQyIRJr\nWfoKSsxM0ByQImURGOhmysYy0qJa1dIbbpCZ4D6Mzwml48TUfGQAACAASURBVKMVpqjY3keUzeMk\nLZLLPtM8Qup5MFhuLMBzVNHMSlpai1KiKIdqDbQsWZsUQroP0Q5Z0DRBRcnoNWLuDoq5rs7d1wK5\npP3x/JMVy8/RppnZabiXysrYWmMt53ygOdFedbhn2XFbVMV9bSPQX1FNlygToDztEi1qd7KZtcVj\nr+55pKVNl5s+KHvmKPBer+erss7GudfGqf+gcymK1SRc92NEvRlPcorI0RmtN4yLoO9siz0QtJ0D\nIfIF9eQBEuZuBvLDkfgKoigukXYl2lcAtQpUl4eI5vQIBMZEccN8AA2OqTTHgl5TCoUVTYiPuQ37\nVwiSBc1pbZrE6+PCXpbPjWvBvxltKZyHRccYd8xvpoPdLula4pr4fqMtFlmXxzMwB0GnNDPbvXsj\n6+O9RHPCdaKvLXta/ruseM7YoP7j/q6thzk2q+nOCpFWJOimiiqFfWCaHV9bvAKDgk7NGInvdjg3\nUz5B3cI+OT+p+8X7Kr5/9cXSHxOLxeLKuVpyOBwOh8PhcDgclwoXFWB/ZGHR/fIaUHRqJKI6KISG\nX3ocW0DEWVm8TsZ1kajTGSJEuUCne82q18qItoqkK7TEwa2iWAxlR9mKYi9wLoqelpH2LCrdw9Jz\npCK9IgoZ7xEXpivEz6MV4tiW5Vm0AKX+47WBiBDX11TfUyVkbGWnMhEXrOTEGCIizFHOMrvRsmJV\n/VDRl74ZMZXFim30EPSvimqXQnCOAo1EpqcUtHLENwrOW2trXo9TC/l9y69lVRZSZdUAzPlNioij\nQKDKvAFjimJvh6JbJ+E4JcKPfaExmQRhpMp+lWJCs1S8UmEk1rOyvS3XFEfj0xrvZ2yBOSWthudd\nX1lIPjwJNpYh03hnQJH3sBZZOAtswPKZ5ITXRBYoZYjWqj6r7AMe0RgfFJ4zqzOBjNb+PRuHKCdn\nlmfdcVdojdxsWIBGsat4DdmcJyiTsV/YwJpRMbYQeR7PKCJ+pxPmZpHSYg9kgei165Puc+E8HNmf\nieh17HP4l68NI3As7FbviMxHqyBavN4VheNKO1QWKSPDwGYAECU/UAi3zZLg+nYhxDZL4mzOTMBy\nFmP29uPj+F7MutB1l2N2hc6NfrNoGv1RhfVwT1mIfONq1x8Io+c0dsgcoE3OpB0oBkD4F9kvFslj\nXFh8DxOAG+E73RXOWo7FvS+yfHwdsfixEDerqP9cPLNVVnoZ+HM6K9K9NotMgA+sWuGp2Z04HA6H\nw+FwOByOS4tLkZlYhMwER9JbtleIYM7nXCyp+zV3sFf/ytyYLC8UpKA0A/Pwy38UI3XUH/GbL2Yk\nEFmmX7o4WtlLtnAiOHStKGqLm531tbBIU7+yOTPT4qcri9vYn9AGR1qPZw0RANqkaJzkDjYit2XW\nohXpLtvtg5L7OBORhqzITSwe2P3L2TgcpTQorb7ieGVNykDGoKV3kNawjYiVem1+Uh+vijFiHats\nVp/MhDp3Wp9clC3w8nkOFxa7reKPCiOKTquxPtw/yf7P9qZbZ100jbU9WyEzUfLm+W/F+4/HiL1B\n2Y8CysIQWBURK9/ne6r0TeX8OW8hTOYoJ/vH7jw7u8nicmdjeYEtRKw5wo2I+CZnncO1XQn3Q61F\nZduLbMV0PR3/bmQOTuvr3RmFDMtGujeL8NG90xC1pH7thPaPxFpUkXdEeDnSe1q8x7axkXsvbETv\nHXZ9vP3YUWr/sOaPl5lG1glFLnrLwpT+RoQeUWmVbWKU2RllP7ojsnKxwNuSfpTtA5mda2h/X9wH\n9JuzFsgwoA1uaxPZBHrtxiBk9re3u/PRvFC2uuW8ft5kktqCZe083YcnHjs0s6RNWkzqOc/7Cyyb\nb1ztjs/mWDEG3Fc11rh2ZHA4k/GQuPfvxPWGc3KG5caV7u8J9efJW9PsOjjLqSzVS0ZMZksv9COl\nlXSLyaAYDep49GH1N6PzwTMTDofD4XA4HA6H40LwHxMOh8PhcDgcDofjQrgUNKezs4UdH84yAWZ8\nT9EPhOglVjqk45FuTXST5eJDTvuXgkezRCHBcZwZ17aSsBgb1cecM3/VEkjLCtWwT6PforAWbVGy\nFNBW04pViLMZKs1XnlvRi5AmV5XOW8crKo0Si6u+lqnJlcc3KBtIGys7ytif43n1Xoag80MqdijO\npyrzSqth3AdlPStoc+elowCgAK2f1dWGVSV4ZbaQPlePneofaEvxNaJYYJ/I6IvFGswMBoTNYmv+\nz4s5Y5Zs/uS8G55W/U80p+5ftVdhH5MUKNoHEs2kpne2RPhKBN0S3bdEh1wZvTQnUBXheSxA9VJ7\nZ2u/GASB8CYJha+F8YTYmK1JQX1i0W60WUXV5y2iszTsUI/DOr1JdJZjRUkK/4J+xZQsCJ5BWVkl\nJsZxSsA8F3aoLSEyrrtVjVlV8M0MJ6zeM+N74R7uTIbZ+bJj6G/Qm5SVrPxscW1MaQIVhilctwva\nm6JFqfZBV2IBdhQPC0H4Tdxnug5UykaV7F2i6twLUfMdssINVJ27b3Q2xy/ZTM7/uKZj0X+8x5a+\nzwmUtfc/vB9f27/dnSveo6uJOggMxf64N6+rph8XdLOJsL3lOYZK3JHyRWOBVksbXzNtibsTzs13\nr6QCZ+Yv4XrHDUo9I1pbn/Fe1f2LseP9dT7D/hL6ResC1Humv5ai7PyZsfy7Sl94ZsLhcDgcDofD\n4XBcCJciM2GLRYiApV+giHisiyIgUegpCn61j0vt49c13ptRhBifyyK94V8pYA7RB5Xd6BvZu2gx\nKZwn7xeilSr6s1ro3Rf4tcyZg1lovyUAZqioQIrm5gXnzHQUPlowDuv3AFXoTKHMAqnoN7eP7AP6\noOYhixTL+8wRn/WGbWfLGlaNibKeLcdfiqgzQVjDSrYovsWI956Ev32yD6q4V/ZakX3IsijFmp1n\n/bpYTEZFhtAflb3kAoEtS+hTYfBQHsd2xeV8VpkuPh7nhhia75Gyf02F2kKxpBVZ2twaNS/sFPvI\nBgnT5ZkJte8NQz+ODmZZn80o2yIK8kH0zteLMcA63aFxgrBzXwhIVdZiR2SsSlEzZyMQseZIdylC\nVWJxgDMOc5FVUJawfYDjs2JgiCSLa5yGl9j2NlptHvMzNeyPYX6oaCra57FEgbcnSGhbzih1ja3r\n5ug3/uZrKyPoayKDo6x2HxGGIdFWl4viFTbF3B9YqsLylaPxsN99/63D1NadLjOBOf/cK1RibJL3\nzyxlAzD/Ninlc/O9B2aWi+lxD5WVcZlJ5+MOzrqGxzROKIaHsWbx9MMh28SiaRx/bdi1+b5BGt/b\n4biHxbUh28IF+XC/Fvxa2NvGYR8Y03ydN+yrMXdZsH0abKn5u1b5nJ3T3o5xRQbk9s10nitXa9YC\nxvVkWmfxq8y76WdvC56ZcDgcDofD4XA4HBeC/5hwOBwOh8PhcDgcF8LloDkF5ClvpHBqr+ppSD2p\nFHxf9KFwMEp6k6pFsZjXtAv1a3AgUvRlykpWzKa03KKgDKwSkMZ+KYpITO0t/1xvARDoXfzZog4C\nU6DKtKJZSk2C3rRzlatc1qnYsm/Kz1ldm/Ltx2vT49rXHGPM4thYFddG1Xtlm/w37t9aXXxb9jVV\naq8NBiAq4/l3cjyrzl2fp75u1Y9EO2M6G2o3CCoQ/pVzrBa0t+qiyErKw3oOA6C1KDriU0HTpECI\n3cv1nFVNbdV6KWq+dH+X9Dqu4dL9fTjM61qYadqCmluY60ncXNMW1V6rKEqK8lSC2xoI2ti0EPey\nSLFcX6CAmKVaL4xyje/QfNoNVXSNqBigpyixcinaZeB4VelY0qPC8UyLagmqR+GcTClBu31pTiV9\nZ1v0S1UpxudQe4OBmgNmtYlDLtjuxviucC+Z6gI8Qvch9lUcBzpUq69Mr8H13s1i4ILWpe63eg3H\nz1bQokrxPdOcIN6+P2z+PIfvBOE108fwN4TSN8cH8b1rW3WldmA67Y5/gtbFk7e66tm8ViK9JpxH\nVYTe2U3P4LifhMN4foO2NLZ6ToIOtiPWyOGTXX92r6T7vR3e2xD3Ep/jehlnp0HsTnOy/H6k98J6\nb477dbal1HWj4jvh+cyU5nhPZsX/zWwW1sNkO62p8nvMKkrTeQ1SPDPhcDgcDofD4XA4LoRLkZlY\nWBeZYmEfol7qV/Jc2AmqKHP5S09aHwqBUZ8qyCpS19eqS/U/nltEOdUv4RjlF5UaFc5rI9b6fKzq\n3TPq3bIAjaK9TFCd26apTACjtMfkfuGeL4I1JNuzYczWR6JCsLCzxbnHG6n9cZizev5170H8aZYi\n7Wvj06p9hVgpW0RwS6EjVxNX9ztmhCAuE5Z7yvAgitGmtbXqeLL83mQWpkL4X9v2tWMno5iJqd8r\njQjGNGeUQUJssxD7my0R8DeqhpfVtNXneCzQfp59wGshOk1Zy5ghUtXl45inOQYkYwKRDeIq8Qe5\naF31VdmzKizi9dZzS1lcR+EitQlTBlVNG/0+3KuvTa0lHI/nyJPz4/geROs3KBo6CmvioJGhYKw1\nhMsqI7EjBMjATVEhGEA/lLB4EAOgNK6NPiMqPz1IR22ELPCc9hBkQyDg3T9MEfRoDdswcTg+qaO0\nw1HXxr20J+6G/f4BYZNbCpm5//zaPixShRD+toiII+p9A30QFa0Zp8V7LJZ/PPRDVSfHOTkTcxXR\n+JAduPneJLZG5kDZ8CLqzVlzWIzya1jH2K+5YjPayve47l7sWxB605qKBiO0FuP7YYnz3Ic98/5h\nd877iFWwLzJ75fcotd64Qv1pkb3jIQfTQ31XwXeI1t5uZjaFCcVJ/b1wUGYt6G9lf19avPJ7aIuf\nqfi+U1rEch9bjJpV8MyEw+FwOBwOh8PhuBAuRWZiYN0vNRU5VNqEvlB6AqDMDvAv1hbfum9GIkbv\n0QdqP0VDa41F/Lz4RdwCj52SPpT9aYF//bZ0FAqK/15mJLQ+IoWbt3a6v6UtsPiFjiguimPpX/Q1\nZ39D8E1LbcKqYoPzIhqqNA1s2zmO2bfu3OtCVyCzQI3ChbGYjshmndEcK6O0fI821rv+KKteFOIZ\n0rUi8p9HSrrPLsSaKq+Rz68yEnLNzgv+K89Nka0oP6faV3bCqt+qqB/Qa02JaHy2Rsb5fMsi7qP8\nfqn5wbqCsl9ZRimAI41YZzu7nVXlidAL8TqoiivRdUTNBK2Vcn5yFmIuook1aj1IKu63XF+UtSB5\n4CFifZaip9dDu88KeoqF2HqPBV8eUWmOoo7CkPH+jQg4rMhZN3ctarLqOYlCeWMqyHfnVrL3NCv2\nGTEuGIM9MT5q/lwLfX3yZnce5tm3MhItm3b8u09F2RQT4A6yxmGePng9FVLDmHMUG5HqU1GEDhHx\nY8oO7IbjrhVWpmZmG8jICNtRZDweOkn9x2unlNXBmaAh4MJxVzAHZtPwuTRee2FcZmxJWuw9k710\nHZz1BpCJwP3K7HuLOcY4OQ6F4+6ZUPvdnMLeYGa2twh21NAv0LgeF5qPLXaxVcVACzthtmKGPkhl\n8XDceEz3dDLOrpGvM+2d9XcD3i8wZkozgTbmNF/LfUXNfZkxDW3MqK84t1pH+B7cVxur4JkJh8Ph\ncDgcDofDcSH4jwmHw+FwOBwOh8NxIVwKmtNi0dFFVCpd0Q9Uur/ZfksoXNiWXgQtK9mWMJrPGU3K\nBL0G7as+tgSkyvJU0WRKKpnqs7pGdR6VPm1ZgCpBdQlFaZoRdaO8JqZ1lBSXDUGdYighVdlXJfwH\n1HzlNGrZLlvJHQdBJBsRlDQnRRHDv5zyBjUptyuuKTTltSkBWXmMWRIdM8sJ8wZXyzNB0q6Kfuh5\nx6YM+TxtVdM+mbYkqDW9qVU1nf9WFJpW+y2TBT7nolifPIfLfe5svlyYrMB9Rr943oHmBEoDU6Ai\nVUrQhHA8nxvHHe7xeJ5kx/G8OpzPsvOYJerTqDFPITg9PqzpY/mY5+1ndshndRXnyVZ3vFpTGKdN\nauMo/DkuxMpmZodBhKqqk0Noq/Z5nGd9Iz3+YZP9JNmIPnkrF8yqthhllXhuH+LtEYtjp0HMHObK\nidhz82rJ3ftsHpDO3b3GYuASbLSBMYjrk/oVq1bTa+Me9rgsyj4KNKid8Ln7iKozP8QcTmL9ozC2\n6Ncn3rMZ31Mia1QXf26wgb1nka4NVCD1jAE97WiPLIPD+KtnONrgvaSsTs5rHVgXxhmgGvN8xRrn\n9uHGCmtbzOXu725OYq7x+tneCEYPi3pfVfM1mhUQReyJ8Ax4olF1fHeTTAq2NrP+58/n5d8FQMNj\nat+wsujW1OT6vX6iaUXHLbHKKKT52XMd7XA4HA6Hw+FwOBwBlyQzsagiXyr7UIq4VkViys+pAlt9\nMxKLQhTTV7Ado7XiV6cqcqeKe/XJSGSRBiG2Rr9bgnZZlE1kE3DtyYaz/ZtXWTym9uuIAQS5eI9t\n75CRkPZsUcxZRwJQ2I3HVUXCYR2rIulSlB2A8VdiYo4MlRm3/Drm2b9mdTZEiW8BFrHjnszIknUU\nhH9n87xIGf+tsi6IELPwrGULXGYoug/Ukcwye8fzTrUPG0R1TBntP53VGY1Rz4yYus/HB0J9X1xH\n0Up3HiGSUxm9EioDBfB6WIj7Vs5BNgmI9rqctSzWS8semPsT/12vI3WI8HN7eI+LdJV7CQPvjSf1\nY/Bov2ufi+S1RPsAZyajEYGI9qkxQFSdxxrC1I0Q97v5aCoopjIluOfIQqr1jH6tTzijWUeZW+JP\nVbAQImtEnll0DVHtNbJIne7nEXS1JtV+Ec1N6NqmIjoOpDFnYfE4/NtFpVn0jozEDvUVEerbwu5a\nFfWbFyJuLrK2F+4zi8RRnA9zhcf+udc7wfKD23UE/VnBdvzWo8n+db8QKWfPt4bFqDTfEGYaOO4Q\n948yRWdiH8bzGfOB574SA4/DPL0VDACQjTAzOwhjh72an2VXtrrx4dV8GMYCe/9kIuyU6T7jXuI+\nqyKRmfVs+BNz66zxnYuvM9nqclHG2ugkZVvrvaS0JFff9xilGRDviaro3nnhmQmHw+FwOBwOh8Nx\nIfiPCYfD4XA4HA6Hw3EhXBKa0/m92pdBikt7VLRelSIvPdU5BTVuCHmQ6uL254KyoupdXBSjQDs4\npQqnMeUmUqaoYqy822Xl5YLmoCpaZ2nUkGJUVC9V7TZWlT7L60eYpfvA9AZ4cisKGtKnrTQh0zwW\nBSVOpZv5OsaRkjWo+noohIt9RFaKnqbei6/FuUPp4DCG7FeOfswETQtg0WtJscrv6Sj0r06vKypd\nq5ZEWeGZ/+brLelyPK6pqvRy0VvLl7tFH1PHrdpTcJ9xSiXMZwFsKThVtAVUEVd1VLJ5XdxfVb16\nLu6zEo0rKlOkLQmaANra2V2vXjs6qMXWoB/OhUlBXFNcoTas+yhYp/s8F0w0tTaAgdirarpc6lei\nH9U0UOXp3xK+Yjyz2g3FNR0fpjGv/O8tUW9Sf2q6GfcV8w3XxjU01gLNh+k+syHq5NRfQ1IFbBr/\nYi6qeSfrEI0b6z+0uUn92g79YkoTxLeqgrKiOZXHqXoi6jmCGixMW8K94foM16929Lcn73Ti5Ns3\nk0h5/3ZHC1L1gQ4CBZDnTquSsqLcYv8tayDlbdTztBRum5kdDss5lt7HNbEAG9eCZzj3b8fytcJ/\n71wNc22YzgMB9ogu4zRQmXD/uFr5driJh08metoTRU0c3ntwbjYFwN+JhljPbzOe17YUa5FaHZ6L\nTPxVtOKCxq++k/KcHK8wkynhmQmHw+FwOBwOh8NxIVyazEQZLVW2gBdFH4E0Ry1jpcP5afUaoigs\nBlXRlhQxrIW/EEYt5nW/+vSV+6uqSmPstJCy/n2K4/BLVwmqVSVldW6IgFsVhbO+QmSZ2aHmmQkV\niZWRzHOKlMpIGkNFXcsKzGb1tXHURdlppgyREmzVYrcYARR9rSxxJ2m+rgU7PRavllGsTBCGrEIj\nQq9E+Kp6eAucxWtZBiuU1patiClDZaXKc2ZzMsxFrviNdbm+Xq8NJbCLfR7VcxiRQJUBVJmPch2r\naGQLmVGFsDeMfYVV6jQdfxAsKlvrk6P+SsSJjBLmykJkZOeZfW0+DzJDgrPVa7uvrXbZB9WGtm5N\n8y5VGa+zkOj3/p3UxtphnoHKz9kdn6L+q7OYXX/qNpO9bP0MQPsTzq6HMTjOItZ5toXXFkTDKmvc\nsssEsgirWFMA1iesa83MDsK8u32a9jslvI7nElaya0WlbBZ4Q1TP+wXWLNY6W5OrPSdZJHdjyNH7\n/dtBgD3NMwL8XjbvWs+18LjJsuvCxAVQ6wDXhowJrwdkW2BNbJai9ojiH9AzL2XqlxuRsAFD+eye\nUAYKYzela9u52j3X9pG1oHuKtvgZDHE4i9wB3MPs3gRBuMoqthgoyu5bmazUEPc53Lf8e0b+Hc3M\nbHsnGa70gWcmHA6Hw+FwOBwOx4VwKTITCnMR1cBrowbXldFHKwHkHOvaPhG2mviFuErbUP5SzQqd\nnHW/KI8t/YIuufStX8HZeRqFnSbjNH1av5JLnja3WUYO+Pg1EYXAZzlqPCh+actMQHb9OXezFalf\n1u947sZ7ABdZKq3wOGOWoqd1dB3HI5pX9rtsP40BFfASvOujw5wIzvOivA/8ueEQxbfqQlCIGB6f\n1LxcFU2MUXwRFc6KjRVzuJVJ43ZjW4Kr37KjVJm3pJtpr59yDqo5yWt2o7AWZF3IXESxq2ycsMTl\nsYvW0+LaymJVfbRj3B+ew+Owt51aPTdVUcbDYMHK93Yjaqy6MVFRSJVZwfWqKGGWoWtEmUsNhIq0\nqv6MxT4cjxdzUkUmcb3cBqK0KaLcjlgPR91r2BM5Kj8v9p7WXm1mthH7k+sw+LhcfzXPjj8+YD1V\nfb0YA2TSjzMN3vnmIqAiuNLevJiLvJpVpqHUQPB7+Czz62EjCmtRLmh3LWRzDveo38UzbCqyugd7\ntZUs9nSOxu+F6PdcFverM9DlPq/2yVN6TAxGfbSlafwxz6CB4Ozaelzr9XNNrZF0HfUcxhiw5S7W\nVMrikQ4m2sYO6fjuu9PuWq6dMEtZOLWXw5r4iPo8Le4R9zfNxVofxSg1tIrVofao9H1z+ffI7Nkd\nrm2DMo1sBd8HnplwOBwOh8PhcDgcF4L/mHA4HA6Hw+FwOBwXwqWlOV0UKsUFCoFKNymrzrlIs4+K\ntKuiCSjEtBlbnwrBXCtdfBKrPjONpbTCTJ8HrYEFOiXNSVlhKrpQiz4Wq1ezOBNpP1FpWtEoVAXP\n9VipWdmnLafjtNCiQrGFHsYaFpRTQVta3yDqQEG1UdcmEZplOh+OZ2qTsvcDWsI8dZ/L6uqj9TrV\nrSDtaBs0h5apgZpbSrCp6HXl5xil+HMlDbGY82pvkFWQo3lCPa6yfWF7qz5XWtnOZio1HvYeokfE\nfhPNYSxob7HdsG+NiLJWjhXTHCCyPM3ofjnlq1URnttPlAZhxUzjj+rlqqI9rGQVbUkZGCTRdE7N\n6l4LYnHam0t7zGxstiy7brNEDwLlI6cOCZrTcLkAvqwczetBHb8o1iXPC9V/iFfxHAGFjT/L5wRV\nJwmG5/aGN/4ru+9ZV+3Vr/xkMzP7+m99sz3rxl32TV/3ShuNBvY/fvs/s7f92u/ac+7btUff/6Rt\nb2/YzvaGXdvdtr/7XV+WrjWjqda0mZJKc/3erfjextpqQTUDd2GbKinfN+6ejVetXiuH89qGt6IC\nZ/M12JWL/kerUXoP9KaREJ7DUFnRIkHv5u8eayaspIvKy4puymtqNsO6qfdoJb4vKUz8jFwE+2Ec\nz+shra30GtYejmcKVDQKoDV7stO9tnOXoPiEW7+1k2ypyyrjfE/3FGW6eDaOMzpeQwgfoL7TReMJ\nQddS1bfL8/E5+dwngi7agv+YcDgcDofD8SHHx7/oAfvXP/879upXfrKdnS3szpNHdniY9ACP3dq3\n7/2OL7WXvPA59te/+5/byz/lefbZf/iFH5D6SQ6H4+J4Wn9MDAaDh8xsz7of76eLxeKTB4PBdTN7\ns5k9aGYPmdkXLxaLJ/p8Nrze6/NPF5qCMBGNbwlOOVqJX/kxayEKJPXt18Rq+8ThJI8KTFkEJdrD\nL3oV3RiP62jFKIp5UIylX2RfiawxLhvCfjBa6Ipf7xA6q2j7QERDlIC0X+HC1NdRERHnMUE/OEKH\nX/tK/F1Gv82SSGrrShdpYCtWRKPyqM7yiD6inHNxzhgxoYBMGe3mLMdQRGlLU4OREMlyX1N2oxY1\nKxvYqghdT4teFXVR67OM6mbRuOM8wr0quwaUUb9lx2OdYQyyyOpZ3f+19TpyXuJMZKVafY0ibR77\nWd1nVdAtnRTH1GJdNefjx0QETWU+jscQNaa5grWB89x1fSO+pyL1MYorMgFlxkplJlQWaLyRG2jw\nZzPr6Wm+RtQ9wjXya+r4+JoyEcBxIiuqimPixukMV/dlXhWGZAvzsj+qqBz3FVFliFYX84W96HnP\ntjf8wM/aYDSwh979mH3Mg/fYzVv7dnB4bJPJ2N717pv2wo+734ajgQ0G3b4+HA2q+6XsgU+tnk9K\n9H7nNGTL2M61EFIrcfacjsf7KHDGEXH0R+6FDUMILqSKaD3GjsXW2GuxLrIxx/E0PmVhVMY8iK2H\n4pmEnIzMEI9YWJzvnXlht25cODuA9/EeMlfdtYVsQrCSRSa3O15lfHJzhr3b6YcpnoN877H3zU/U\n8yo3GOj60/29GcTK/GxV1uKpX/X+rUw9yufgaFyP6/qkzr7iucPzorX3t+ZkX3wwfs5/1mKx+ET8\nGDCzbzKzty4Wi+eb2VvD//t+9ryfdzgcDofD8RGAG9ev2Gg0tEfff8d+63feYy95wXPsxR/3bPut\nt7/H3v6O99nHPHhPbydCh8PxwcOHIjf4+Wb2pvD3m8zsCz7In3c4HA6Hw/FhiJe84Dn2m29/j/3W\n2x+2l7zwOfaSFz7HfvO3H7bf/J332Me/6Lkf6u45ZSMgSAAAIABJREFUHA6Bp1szsTCznx0MBnMz\n+4HFYvFGM7t3sVi8L7z/iJnde47P2jk+f2GoGhSo0JylIQUFAOhTg4J/ySEtparcxj70FQUfdv9w\nmqpMfbLwBxQMvGfGabg6CtTyPMaUygSkZ6XwZzmlKT+3qKKLdNy8pvYoqhHoTYuzOtWrRNBS7FrQ\nZJieVvaVhXBof3ZciyZBrVJC2zn5eCONG+kyK2qf1HUslos0ud94TVWQVkD/Z0yxKmpcLNT9y4T8\ned+4InwLoAKyyDeK9UWF0NbaUteI9a8q/pa1aFa91gLfh42iknAmUhQe/WU9GqYjKtrCtBDrbjKt\noBCoyzWQjfVyqk4SqDOdBcfVafMW5Qn3jekCEBYyQG9QVZlBecp99UF96M7NNApA7SWjBoVG1bhJ\nlaZFzY1hXY9DVS5Xwm4Aok8W5pYicb6XWLNzsSfM8SwTNTTi/iqeJ3xt7KdfXocCxmr7Sn5PP/m/\n+H32n373ffbQwzftRS+83/YPrtubf/xttjVZt1e94hPaZg7K8GSIOVlXUt+52s2PO3QfQFu6sZbG\nfCfQdvbD9R6Le8qv7Yc96m6I8AV9hMcnCpGngtIYjuPxPSpr7ogaIOuCglb2gaHoner4lglFH5qw\nol3tEQ0M+zSul6lMJ9OwxsP8434dH9TccNxnrJUjohzHOjaZuHwR+jXL+sf9URRXNXaYb5Ok7W9/\nV2lUIB+q71zj/HNrbKADymT2PWz1d8usllRPGnE8/lxHnx8vXywWn2hmn2tmf3EwGHw6v7lYLBZm\ntuwKm59d9fnBYPCVg8HgVweDwa/uHx2rQxwOh8PhcHwY4RNe/Fz7uV96h129a9NGo6FdvWvT9van\n9pu/8x576Yse+FB3z+FwCDytmYnFYvGe8O/7B4PBW8zsZWb26GAwuH+xWLxvMBjcb2bvP8dnf/4c\nn3+jmb3RzOyj7rvRM6SfI4suIqojft3Jitk9bL4yyzBR/bcPpGBOVD8sI9brG3XGgSM3ySI12MzR\ne0r8DCDDkEcochFUfs7h0v6UGQSzFLVgcTkiDEogCEEURxgQoUNGQgk98wqqufB3JO4zMg6He7X1\nnBJZq8gQ2uIIOqw2EU1kYauaYxB4zuLxDXGmUWS1EWVCVo6veyEEW7FfYS6rKuIMZEFUX5XYFa+p\nvrYQMwYrsoXl2uZxwhyT0ftzCtUUygwXj4W0Rt3II3TKKrVlHayrJ9f3LbZJe0kZ9VZRy9y4oVtn\nai6qLCeyD8ieKAtdFlIC21c6KwlVHVtlXVExNxPhh/6ocY1ZUSEsLo8xS9FQzmQgUzoK2cc1roC7\nUQtUSxvXzMa2YSOK41lkjT1EZS1SG8K8QtwjZdE9Dk4eyiABgtnM9nZ2altb67GvuC8vu/Gg3b5z\nZJ//qk+Mxz7/o59lBwdT296aRJvZxWJh8/mZnc7OaI+GkQRV8g4RehbmIyMxvtK99/hpej4gC8GZ\niZvhfbz28Emdzdqne3M7ZCZ21ru22HpWWQyXxhy5fXL9nCrXhPruka41Waxg3+CK2Xg2ol9bV9Lx\nmD9DYRMaM10n9fpn+3Gg9b1BPSOPxfP5pLBb3bpSswp4bFj4ztdjpg0SkKVsWfTyM77VVswY0BqH\noFrZM6eMT12FumQQlOfiz/N7mT24sEgHoiHJU/hO+rT9mBgMBttmNlwsFnvh7z9qZn/dzH7CzL7c\nzL4z/Pvj5/is9fm8w+FwOByODy+893237Sf/xW/Yj//Ur9vNm3v2b3/6dTYY5F9aRqOh/fov/09m\nZvbkrY5V8K3f/Pl2UNCovuW1n/fB6bTD4ViJpzMzca+ZvSVsFGtm9n8sFoufGQwGv2Jm/2QwGPwF\nM3uXmX2xmdlgMHi2mf3gYrF45bLPhna/U33+A4EycpZZt4Zfcyq61igdFqF4eVnUtWhXRRq4P+OC\nM72mokbZ8cvt3wDmZte8SM4O1IVpUl/B16wjpQrKLg4PjZmIhuBXO7ePKNRsWhfAUTzhMmMgbfKU\nHiEW62E+O4rn1BxLGR0oogLqfqj7VvZBtcXtxai/mJ3cYovjWkVPTurokbQHFezJFI1bvlpUlEZF\nT7EGuSVB9Y5QmgY1J4dF1kHdm/UNFEarr+PcVnpiTyh1HmZpris9iHov8d5TH0fFtbRscnOrxJDF\nm9bZwRipp/emYs2W7jvc/sZ2XdgNUWwZObxTRwU3Q/FMlfWLmQa2lw7XqzjQSaMQbDVpfs8bkT11\nbt4LgHjt0Uo2vYe+ciEuvBajtaJIl2o/HV8XxZRZUdgPZ5nAYBcb1vMZablKS2kzs/F6vneiL4/d\n3LOf+We/ZT/2E79m7/hPj9or//jH21/95lfap3/6821tbSQjpjFCLIqTtp63eBawZa3ixmP9bgXi\n+XPpRmBezGYpen9fyGrcDMXoblImA1qJ26Tje3gWngdBf7FDGxRsY7fX0mvXQvZg60r3f/yIMkv3\nfEPYp65Pwj09Uc/i/D6Y8bwWDIuwTvOicnnRxO61/PnJ3xtUcULqUfVKtH+9szyCrp5RZfaC+620\nIopRsqi+45gd7nX/IuPG8whzhvcg7AkbQsMRMzHiuwT63Sru2/Ut3wuz7xcnWM/z6j3FimhlUUu9\nozp+FZ62HxOLxeL/M7NPEK8/bmZ/RLz+XjN7Zeuzrc87HA6Hw+H40OP2nUP71//8d+wnfurX7Td+\n82F7xee8yP7Saz7bPvszP87W1+sv9w6H4yMbXgHb4XA4HA7HU8L+/rG99efebj/9r37LfvU/PmSf\n8fKPtT/7pX/QPvszX2BXdydm1s/l0OFwfOThUvyYGAy6NH8r1cWIKR/RlrRNDP/2oTuZaWoPoIQ2\nyT413a5WhWqFMu21qoJvsv5TKcbTrC1uD5aQTNMoqwYrgSGn75E2jbaXRJPYEGLMUmTNqX1ledaq\n1FwK+RhKgB2Fc9M6rZisIZfTkRjxens+cFUau01bCjQtfrFRaV2JsupjBF1IVA9WVXcXPdLZqj/K\nJlehtO3M3hOUnrguh3m/+O9oV7rOtIhAyWgI1pTVo1qDmOubwgp0LGhOrQryfeiFZT/MdFXzmRJB\nni2/pwxQ7VrFxlRV3NNZTYFS+xfW/9RqWpGysSxtHJk+UlZ0VrSiFs1JWbEyosmCaENRE8q9memd\nOO6I6A2RCiTE8SXtSllRKurtcNiJnX/jt99tn/Di59pgMIjHTWcz+/lffIf9zM/+lv37/+d37WV/\n4EH7k6/6BPve7/7Tdv3uJDoGdYjvA0TxEPwydbC0mVVQ93QsnofYm5mOF00Kprmg1yzdh7XMbrUb\n9+cEmtBtojmB0sQVsx8Jr8EilsXc+JuPnxZ0qE2yQN66Ulevx3WCDsZrpGU/CsrX7o3N+BpogpiT\nd24lehcsW4/2mC4X5ulJTZsrK8ib1fvQfMUzsmU9W0JZmSr78Uhponu6iGuk/uY2DvsA2xZHWtdx\nTSeaHdf0aNCtlLnM+ln32rGwdWaoZwUQ169YKk0bWGnKgvt28YKQl+LHhMPhcDgcjvNjsVjYG3/4\n5+xXf/0h+0ff9+ft5OTU/t3bftf+5b/5f+2Xf+Wd9pIXPsf++Oe8xL7z277Irt612etLoMPheGbh\n0v6YaGUklLXqedGraJWykhVi6w3xCxefnR7UWQL0H2JRPr5lScpRr5mItAGqjUHRPh+DX+1lX5a1\nv7GVF9ZrFWczqzMSfG4IR/l+x8i2svRV0bpC0M6RiVQcrr7uZhEwkQFpRQpVRBb3i/vcmncnU3Hv\nW9bFpSD5rL5vLQH22bC9BspIL49TjDSKTFS0xByKrAILtkurXWWjLATeUpxdjNO8cU/5b5UBUSiz\nXrx2VaRuXETQlV3xYt4vylRm73gOzUX0sSw22LJ85b6pubYQEXRgOKxfw9rjbOUwrPE1CO0zoW2Y\ni2JerAmxbhI6BlvKaR217FsITlk9AgMxF9PeSVnUYwg860e1LC5WiDKVbW9qnP4P8bTYP/7BP/4F\n++Vfead9xZ/5w/btf/sn7Rd++R32vN//LPujn/Vi++av/1y7+9pO18RkZGdnZ3YaIqUqOqrWG+Y6\nFyRcn+QWnWb1nimziqH92cnybI1Ziuy3bMGVJfE9Iavw4Eaymd0XAmyIspF9ULaxnK0YBVE22uex\nuMsCRWyUMgbot9qz4nNBmaHgPk/ruYNs0AHZxiIjycYKsyKDJjPvotgj7sNi3t6HSzQzrCK724ri\n8xyAPS5nB3AuZHCOyAZWPafKbEiL5cF/H4qsf7I+r80iYErBlscwnNmP4ul59bm+QEZiFWOlhUv7\nY8LhcDgcDsdyfNff+xn7hf/wDhsMBvajb/kP9orPeLF91Zd/hj37/l0z01+4HQ7H5YPnIx0Oh8Ph\ncGQ4mZ3aL/z7d9jxdGYoBfHb73ivnZ4+9SKNDofjmYVLkZlYLLrUfYvaZJZSwyl1xQLjC1bdbUCl\nlFK10XadhuSF3fWZU/uKgqFS6Kn97lwq5dsSD2cpaKQuRbq8qq3AQrKQvuf+l4IlRTU4EX72OA97\n4oOm0UrZKXpKnqbt+gMqA4sDy9oHuuJkPY+a/VlBuyrbZ5R1KXKRfPfefL48HcoUllH0nq+pIkp8\nC6B9bkvRWVrzYq1IjXM/JBWtUXE+Vmqm6r6Ds5zqZpZXeeY2+dwt6h1TXUoh4qr08aA4biDGgqlN\npUB7FXWwNFRgX/rDfQiea0pTFBg26oNISpOgoCl6iqL2pcra8+xf7n92/Hg5ra4UW3Mbij42LOgQ\nquIs75OgQynh6URU8C73clWXgwEqA0SrvBfGas9sCDHLxcYt2mW2x4lzr4/X7Cfe9HU2WhvardsH\n9ujNO/bI+5+0rc11SfmIwuVxTYuMa1fUegH1JqPqFBXe+VqkgDS8dhzMQfg8s2nd1/ksnxcZrSjU\nlNjZTVSm6Xp33EOh8jWLp5WgGrUk8Bq/hxoVR/RcuD/Ur5iEz23Q77VD1BE4YLFud0Ci5aT+Y96B\nGsPAs4urOKNuAl7LzFCOa5pwC7hvTE+9EqqNJxOO9PxsUZgU1VXtL4Cm3NrS4wFeg9NQ3gPrmscV\n/VBGGKnyevt7G9pTNMdjUTW8nPPbVJ38eJRXCD+d1fSoXIweKNnie57CebVPl+LHhMPhcDgcjvNj\nMBjY3dd27N5777KXvvhD3RuHw/HhiEv7Y0JFN5RQDmhFE5WQt26bK9SKyH6PCrUsFIoVFHEd9Ou9\nZcGoKmWq6HKJURYprYW/w3Is6HqOCkvCDco8rIVzj+kXNxAt/ShycCYi3GVEVYo5OQpXjP8qgfdw\nuFyg2joPLNtaQuHzCqXUdXN/cG0t4awSo18U84bA89wVNEXEWo1d/P+KaH/z/KGvC5XlOIMwtF5H\niO5skIUesgRHh/VplAgX1yYzpWcQ3PJ6VraDed9WVTONa+OkrlpbVhtXAsONUf2okMYCjUyMMnpo\ntdUSeDJwT5Jdbi14zKr6FplOjuAiKjsX557NxNgVAnu+tp0QkWXr2VIMPBeZg7wCcW6dyfu3Wrst\nQ4jSxGHV3hOzDzELyc+A/JisDyEDOKDjNyarM7JHltpCBBdjyEB0nTNEffaaTIBdCG0ndI927+ls\nU99FEfRHjoLVaxiLY4qCI+twTNkHzIJJ2L9YnI3jD0QkHcfv304i6Ns3u3C5Yg5gvmXzbrd7lkLY\nvn+nFm5zW8hIYFz5ewaeGVmm1PJMEo897tv2bnqe43mPdtXzmbMP2BcVSwPXqaLmLSt2dbzac3C9\nc7EX4tmqjHDwnOJ9W2XX4n4assxq/TOqZ16W+Rxn7/E1qu9OFsa/lWXi+1yyHFbBNRMOh8PhcDgc\nDofjQri0mYnz2l4Bg1aEuxEpXWVh1irEpX5lltZw/GtzJsrnlZqM7BdxEdljtCLXqv/KghYcvWhz\nqsZCRFFh9ap+sbMuoi8HcBlWRbgRicQ55xQdVJHtVlvnRdJd5NkRfi9DzyKGwLyIVjJOY4RIWG6e\n1PzlPoVyWrarbHsnC82JiHtsoxFlTRHW2h6UMT9b3kdEZ0chI6GsRlnHsH8H/PHueKUrsJ7zYyIK\n2JVcWr62MgthluZwy4KxbwHMOJ7D5eOlEPUIZ3WEODuu2FdXFX3EeKp+SM1EMRfVXMBcnEjL3dSf\n9RA4R/Rx6wpz18fVubGHz6Z1hLjssxnznIW2AplPcW1KwxWPUethnt9TMzMLl1LqhbrX6mdYmXGa\nZ3sD9CZWHY82eCRK/SL3A+CxK7WA6nPcP6wp6CJ275nE9x4968b6oWmK6D8SdA7ISEATYZbrIc6D\nCV3PRvgbrx3Q8y1x4tNrmFu4Jt4j8B7uPY/TtCiy2rVba4EAqYGaLN+30I8rV2umATITqtigiqqr\nZwbWF87DWZQWIwGfUxoo1kCWugulp+LMJ7KaKuuK+6Bse0tdWHfues2qbGt5bnUM7vPBneX7XtM2\n2trPVAXPTDgcDofD4XA4HI4LwX9MOBwOh8PhcDgcjgvhUtGcmGrQV4TSB62KnK3jFfVhHlOTVHlR\nUBnK9zhlBYEU051g8yktTM9EGwVlYE1UZZSi5vDvjNpq2XZGCzNhMagE1a3X+gjbzWoBdWafelbf\nyyhqLPqlzqnoL036j6AazMjCFNQCJY6V7QZqCygra7MhHR+ElHR4n2gC5syJuG7uQ0lDUjaQDLUO\nSii7v+GoTvmm9863djOBXUGr0fettmIG+BphEYixyw0ManpNJcxv0B3NklBYjR0oMS0bXkZ5rrGw\nlMzaD+0q+2tlTtDaa9GWMgWAcFPRvDLaRcO8Qs07RQ1ZdgzPD1AqmMoAi0cIKlWbsN41S3tbFKMK\nQwzeO8uxW2XA0K4ovnptoK1f/+3fs7/z9/+lfdzH3Gcf9dy77e5r2/bAc67ZZ738BTYaDaOonCtz\nl/NIGWeY1XsI9qrZot7bmIIC05Ek5K0pIuoacb+u37sVXwPtBTawsyvpOt55dGRmidpkdnEqkwKo\nTLu0j10Lf4+mNfUG17lOY41+bwXjEjXPn9zrOGVMBTraD2N4QNSekvaX3cda8FzS2Xi+JmF7ovvh\n3qxP6vWjntmlSJzpl1s73fWC4sPULPU9rKxozWOIMVBrqgV+JmHsILZuVbZnoP+liLo8vrwnymYa\nfVB7z2zKayQ/l16fF8el+jHhcDgcDoejjY/+qHvs8OjEfuXXftdGa0Obz8/s3e+9ZS//1OfbaOSE\nBofDkePS/phoRUP7FJwzq8VDrci7Op8qNDcV9mlSHFtEpaQdGsWd8fu0r91iKQhXUWa+ppZYEpGF\nsYjIKmFRKeY+2avFYjJLc7Y8qptlDOIfdZ/x2dwerxC7NiwxVX/6ipvORBR71oiUqEKEiNhOLBdn\ndcfVRevKvrag7Ee5fYg3WwYDTwWtwkPq3sd5VPR5GeZFlFgK4QxjWAueGRBjq4KLQFa8sbCh5YjS\n4T6sMEUkKQQYVYaorzVvGdGTc/OsHguVFVWC6pN5Lqi0Fdk1FMCEUcMm2Uar/ahce6eieODWJLWB\n6KSOYq9lbXDkU2U0VME1YP92l5E4E3Pl9KReuxFUu6o0XlgVRS0zW1m2rBDYq4wRnn3X7tqyb/yL\nn2vf/0P/1m7dPrDHn9i3v/q6z7OtrW4cR8UezedS9p19CqLu0b60s1HvX7i2edx76mcH7gffI2Qh\nWGS9e6Ozf31s0J0T2Qgzs4dnIXpPEWgIrll4Xb6nXkMPx3QMMhIPrKc5+byNLtPwxCOdvzTfW8xJ\nZCPMknB8sBHWLE2F24911/LkrU5AzsXQkNHk9ufF3qksqHk80Z+4H9GzspUdUEBEn895ELIyB2Rp\nG9sq1hu3jWg/W7ei0Cf2Y2WG0Pd5Hi2oM7v18LcQly/OkDGosw/ADlnopu8eVBR3mM9nvg/4joIs\nlhpzNoQo920eJ/VdRRXRa8FDDA6Hw+FwODK8/GXPt4969t328k95vn3eH/tE+5qv/yF7ww/8rB0d\nnaz+sMPhuFS4tJkJhZbVq+Jklr+Om9kOkYVgvmyroEvsA/1qLLnJM8Gzy6KVRURfFaZq8c37Fo5S\nmoyYtRjWY6gQueuNSLK6N/H/PTMBZUSGkdsOruZRtqKEWT+eYoQ+j0zmBXbMzBC8R0RcRnDPF3Bo\nXkdm5xqCIC2OfF/oQoq49kaGgqwtS8vQ+YjWz0kjQ4d1SZHcYZEBzK0616q2EPXZ2lkelVJWuEkz\nRfPvBJogjtLmkWple9vX2k/td+V7qujeXNh3Yq5MRUZG6YrKzzGwPqdZpK7uI6KPGPMZ7aspOltb\nqyLqyoXRyiJgW1fS8cpyF4D1Lp9Hv4bCWvV9K7VfZmkcZ1FrkcYCc0UV9UIRMGXnWp6PwdHN8fqa\n/fdf9UftG7/j/7Q3/29fbX/kM15gf/vv/kv7U1/x/fYt3/An7A//wefn2crCKlhlFRiRZx7empIu\n4VrQMOzOUjYB/cW6mYv+p0h6WneI6KMYnZnZfz7tfhA9NO3+vXlaz49tWm+bRVb0iLIWmOmcJ9ks\nrF75i9buWve/q6SZmMdikvW6iTa2NE+RkUCv57RfYL6p+YdnBs+7yMQQWYVYPJAi6Hj/Toxw1896\nBnQduG8L3iejPXC9p2N/UXMHmdy7rtfzIy/slmsTVkXbW3shwP2J33dGdR+hn1DZR+whecZnlF0H\nv6+sbVOWqd4bpM0/Pisy1+fNZiv4jwmHw+FwOBwVnn3frv3jH/gqMzO7+/qOfce3fKH90tveaX/j\ne37KXvLC59hf/cY/YffcuLKiFYfD8UyH05wcDofD4XBIlFHaP/Sy59n/9cOvsQeefc0+74u/z370\nn75Nuq45HI7Lg0uRmRgM+ouqGZnFaE8h8jIwbUNVbO4rHgZKKolKKZ+SDV8rjaXOifbR0zVia8Q2\nKN3fohrBbhXjxJMOKbo1UX03UmnoPWVj27LTPC+UqBR/R4EhpafLSsRZW2c1PaW0wlPpVL63Zbs8\nzpoKVPZheVvy+Ab9TQmqx0IEeTY6692/8wDtQUAOu+Oub8vjIrA65fnRqpoe16KgcGQVgmNbXbp5\nLqiMEP6tso1WdCJgbZwL7biP8fMNihJDrZW2dXOgaazXc3gs6JSyan3YO0CF5DvVSqtjz1bCf8ba\nOF+zTB9D6n+fxJw4DhQCUKG6tnIRMdPUQNdgUWOyERYV4QXlE/MijqtgwfWlgWHtsV0k6E2w1c1t\nOHG/ln/xz0Sc67mxCM+xncmGvfZrX2Ff+PmfZN/ybT9mb/nJ/2h/69tfbR/3sffFY5jCofoP6smR\nhftHNCfYsj5wd01jAT2KKUHlHGax8tVAb3roJGk98DfoTXzujSCWfnAjtQEB9X7Ye3ZovzkWtrEQ\nYE/Cvzv0zIAA+xq9dhzsg1W16+Eor3ZtZnYn3EO0dYdF1oHWBBrMlPa61vNf0dMw13nOA5sNa2Ul\n4i4tZflcPD8O97qxgL32kPZcHA9LYrYmVs/buuJ0v+8NoIjxt5UWHXwu2k9Cbd77c3pjVkEeYnRR\nVR7XvX+HbKYLGpuysc6E9uH9DwQNWcEzEw6Hw+FwOM6Nj33+ffaj/+gr7Qv/5CfZl/y5N9p3fs9P\n26ELtB2OS4dLkZlQ6FNUTolX+4oaS0wPha2jQOs9VRBKvVeKRVW7SjSpoq6qOJey+YttiajXerD5\ni2Il7hcyDZTlQERsQ1iqzaMYtZ9YvGVZi1/SrSJx/Lcan5TxqaPxyj4xnrthv6kyYn2LyqTxr6OQ\nrUxBS7TesjXWlrjL+6eKk+G1vvaxZdas6+vy45WN7TCK48iCubHG4/pCloriMJjfWRS4GB9pmTys\n1yBE5hxxw1hzJPZ0lvdVzu/GGlF7GyKBqsCe+myruJ8q+ggoy93BhLI6EKOGfYb3tg1hJYk5fiRE\n1hCOnh2nNmA9ifaHo/TlF/2B2FVl6lgIOw+XiSg7Rw7nYr+L9tiTeq7h/mYFxcJn53E860ipEnGq\nOZkKwdXjhOse07xDpDTZTNYiXLT/FV/+afaFr/4k+yt/7cfsM1/x3fY9f/OL7HNf+fHx+N176gzd\nNPx5XETZzVLG4JFZGou7gx1qn+w99xVtPEYi6zIjwfauzw2WrfeP0/MnHhf+f0TZiMmizqwAyEhw\nJgPXOZhxND6fk7h/Zik7djCg9rEdFUUQuzYgwK6f03FepClc7bss2sf6QbG48lxm2lxGYefq8gJ7\nsL82IxOBw/AME+JmrHnuV8ykib1N2adOtrtx5XHC+CNDzHMN2Rle/+VczAuXNoxCRCYDe4g2hKmL\nXJbZeG4rFv6b1t87+xhu8PF94ZkJh8PhcDgcTwn3Pusu+8Hv/3P2Xf/Lq+213/BP7b/58//QHn3/\nkx/qbjkcjg8C/MeEw+FwOByODwhe8Tkvsl/++W+05z5w3V72KX/D/sE//EUXaDscz3BcWpoT0JfK\n1KKBKPpO9FSWwtzV6aMWpWkVWlWT+wrRyzGYHtepcQVFWWlVglYpT6T5m770PWkdLZFVfI9fFILI\nWeETrR6MSO9yyleJgpu0K0ErKucPXyMEmNy/UqS8av6VlLWhuG+4JqbeqP7geKSI5/M0Z9QasWIM\nFKVOoS8dqhTrK1GgOl7RzbBuShrJ0rYKEwRJOeJKqtOSpsGVS2sxMNrDWp/THNAi69Xi27Lt7tz1\nHC6FxVll7oZBAsDjpWrilHuI2rNyylreR7W2UB2X+1b+W7Zrpsdwwd1Z5G1mHvSNfQ+Uj1UoxbGK\nYsrjCWqoqvhbVuTOq1fXdSlKehOfB9QqdS8nW2PburJuf+t7Xm1f9uWfYl/z1T9iP/Lmt9n3/r0v\ntRe9+NmpjUAtGoeK54tx6s/t8N5tqoo9Ce1fu5HqRQCxfgfmzgYJpIXPP3qNmcsUq48JwmsWSANP\nhDlwQOsINC0lxMY1TmiOgvJ0vEdi2ki5qwXkqKXw7tNEBboRalUcH3TmAWzOUM4RvqfrV+qK1nhm\nHAWqUb7+w/HbLHTujse9V3QqXlMwQUi1W2qpFyB9AAAgAElEQVS6XFajB3VjJt3dwbw1q2u88NoC\nTYj7iutMpgtpDwVdS+13pemKWVpbfG/K7xXqmc9ietyb1ncaRd1S+yrG9UTUoMFrqt6P2k/LfeYi\n8MyEw+FwOByODzhe+tIH7Bf+3evsS/70f2mf+9mvt//5W37cK2g7HM9AXKrMRF87RKBvNUAV6Skj\nsavsDfvYmirxqnpv2THZ+VRGho5vfbYlmJUWr8VY5yKlLlrBVW5VVKDqq4iItzIgXPW5bIPFtCqr\nEytyC5F1H3BfywhmHh0MUQhRfVsLtldHmdUclvavPTJWqpInW5mWwly2jZ0FuXTf7EMfnLctdd1Z\nxK24Jzz/kImI0XK2mS2qv/NxmHdZxLdHDCcXKedZEbNa1Jyv/9oiMYkTkc0iYf6skZ1qRNBa+2O7\nmnYd/W5lftW+rdAyi+BoKCK9ZWSP+6GsXtEPFtoiso0ztzIy3IayAN7Yqo0CIIJG5Fn1h40qNouM\nAfdnIPb52NdYkbsWzifLzVr8rSy0EVleYJwGA/u6r/lM+1Nf8En2dV/3ZnvZS7/N3vD6L7FP+9Tn\nZdfEFaoBjvY/HOxcb4eMwYRE07thfaKH+7Q3Qly9ScejQvVciL9hA8u5+I3Q3PUwPvesp7GAwHtf\n7Mc4N7e/mIZMRlaZOt/nea3vLWD6UPfnTsgm5FayuTCf5wzaVZWjZ9M6ao52M1vgkFWLGYfjWuSP\nectQUfnFFvqa5vD6Rv5jUz13Dvfq9YnnMu/pUUg9hE1uGvP923VWp7KBp/swEmu3tMzltaVsftHf\n+bDeQ1t7oLL2T5lhJcIX5QcK45Lsu4ehovrF6YiemXA4HA6Hw/G04v77r9oPvenP23f/rT9lX/t1\nP2pf9Zoftsce2/tQd8vhcHwAcKkyEwoq0nPejETr+BTdabd5XhuuPoVHVKRUZSGUFW7rPCo6iygo\nfsmrtlRRHBT8Ur+k1a9kFV2rCuatsENFsbNWoTPGefjmCmzPVvaHC68BWRarOGffPsf2aaznIuPT\nR39w0WwC36Ox1ZGqi2Z6WlC2wC1uPEeeWnM3RpdCEOuooUvicyOjoewNGdEidVhHv1If6iKRLX1U\nq1+bY9YQ5HNK2bpmEeiTPGKd7aFiL2kV2JsI++e1cW5rqHVt9Rxu7WM5tzrXE6xP0t4zi9bTecE2\n/lupx5TVY5xPjUwPc9cx7seiABnvIeXxG2IOq8xEvA5hJxyjltnek0c+Ed1lcBux/7C2PUjHHYTj\njg9P7VP/wO+3t/6L19p3fc//bX/o0/+mfcNr/7h9yas/Ocse3SfmBfQTyASMKNOA96BN4KwFRph1\nC/gb2QTONt08ra8TGoXd9Xpd4r0dauMotIsMyJVBOvftvaPu3KwFCPcJkW5e/0+gSCddU7T+FM9N\ntaaAZG9aW71iLnKEOxVXrItuqvMkG+56TqoCeMi6jBp6SrYrRhZVfV+Cpi9bU4XmYE7rQWk9yucC\nZ1iSnThnGtaya1KZibnIDCF7x2OhdEiVjk+wHA6Lgoddv5Z/N1WMj/g9lSy0R4Jl0oJnJhwOh8Ph\ncHzQsLW1bt/8ulfaD/39v2D/+J+8zb74z77RHn98/0PdLYfDcUFc+syEw+FwOByODz5e9IJn21t+\n9DX2Ez/160/JwdDhcHxocWl+TAxHg3NTicrPm60WzJRoHaPS32pDVYLnkn60StRd2oEpakJGESna\n6m3HOa/TcUiXIX3H5z4IArI5V3YsxKvL+l2+dl7ajBYi1ulBWK8qe9PSzpXPPZ/XadQ+KK1oGacn\nKQXd557wPGlV5ByLip8ttGhsysZOp1bx1/Lq4X3vZVn528xixXKV6lX0nXGYn1grrS83ikLIa2yt\nqkC+3JiAoSqLl1as3O9W2t+IJjifgwJUr8+S9sPp8ilS9UJEGK9D0B37GDgwmJoQzxPGbkSUibGw\nklT9ADBOyto6UQzSuUHxOO+zIomUUx9AZVgb17TFaKNKYlHQXlgQeriX27muAtqNNC3eh1FxPown\nUyjL+WRmdhqOx5goW8pMLF5YR6uKvIoqujYe2av+2Etta33d9u90otgd6+w3H9xOdBxQmUBDeoL2\nV1CfIHjeEHTQKZ17P3wW9Ca2oFWVrHFO0KO4ovUDoWL2Jk2xK+N8LJTYmlGKpjdoXhwH4fkunfPk\nOBfkK1GwmjOwNWWKEug+0QZ2Kx2faD/1+kRfFQUqXwe5JewTZ2msMY57gtqHccoqbM/y8/C+gb8V\n/QrUzLzi9PKvv6A37ewmG9jNnZqCVn5fUFbJbKlernu2+0ZFbh7PJ28dm1naGw7ITrisms77ttoL\nx4WFOZuCxO+fRMftW0YgnvNcRzscDofD4XA4HA5HwKXJTJRQ1px9hddVW6LIVYm+hfCAVQJrRP4W\n4jpUVLCMGPS97rIw36r21f9jAaUoYErRAVnMLKAlXlf2kkeHdaE2JRYHVBYF4EgmRFutAngtu9zW\n2LGQFMIuFom1zolPqoyVGrORGItSYNc3M5E+X2eg7KSO0gK5iDiP0OmCf0+9cm7LppSBsTs5Od85\nVTbhvONYfi4X2kGQTNHTHn08r1g/Wg3SeeL+Qm3hT7W2pOFBeU0UOMS8G4n1jIzEhiiWpixJ43UI\nEf6MrmleHM8iSAhTlY0lxpwLoiGKPRrWmYaW0DllEGpBZUsYmhdeDILNDY6G5lmHrBjYRm4wcHKc\n2j9DpD5bb90eOJ8vL8p4ImysUcSQ58KitYePU5vP/ujX2QtfcH/s4z/50a+0d/3e4/Z33vBW+7G3\nvMbMzK6FonKIcL/uL73ZfumX/rPNTk7t3Q89bh/1/GfZwhb2Z/6Hz7HP+IKXRntZzjjgNWQy2Nb1\nqGG0AdvYHVHQ7vnrKYqNwoZod2e7/VWrLKyZ2Q+Hv2f02sY4FzXz8xAZgLhv0D3Ce3PaGlIUPnyO\n9hbMZ5k5nG9Ur0n79/Vc7H6bBO6wzFXZmvFGzWSI5wnzg9dbaT7A7arvaNE0RtjYjoWYezuMXauQ\nJ++TZcaXP6uyKGXBPLOUpUFG4vbNtGhLU4a+Ftob4Xr5OrDn8LnPy6u4tD8mHA6Hw+FwfPhgMhnb\nW3/6tZmr0bt+7/HmZ77r+77Ebp6e2sPvetz+2//qjfamX/r6WJXa4XB8cOA0J4fD4XA4HM8ozE/n\n9prPfIP9xi/8ZzMz+9+/9afth77tZz7EvXI4npm4NJmJMlXWxzlCUYFaQucWbem8FKq+gmcl/iz7\nZVbTm/pUPF7WH9AW4KFvVqfh1yd16lClMpW4tPRI5vcgTj6dceqwPlcJJe5tCTaZmqT6XULRwYDW\nvVRi67zOxHKxa0yNN2pVqKrsJug4al6U45PNAUWXC+0v0JboF1d/PhUC+6cKJQZUKOkmjD7rWdLO\nhmK9CaqRrDjfOP74oBbAAuo+KxH0uEFjqyiKQjzZut4sNR76w9SnktKj7tGYPM0XZ3kans+txJWg\nJOoKvsvX7nA0q9rfvTHJjslpPN3fVwapD/uLXHjJgsp0HrEOwp7FNSUA5W3fEraqMZkJqiHGZRbp\nVIkmoYwncDwk0Kd0HYoa0hrrVGOoFqhGMeqVsR0fz+wVr3q9DYYDe/DBu+3H3vI1tr4xstEozQ+I\ntDepredtb9ja+rqtDwb2MRsbdmc+N1s3+54f/DL72i/9B/YN3/2F9mtvfYe94V//JRsPh5E6dCzE\n1rjjXKsCtCYIt58gqs5Og06IDAnXuLgRKDTXSelcVsBes3rO3CGR+JVAubnnru7eq6rso1Db59pu\nagtUo/3T1Nb9oRo21/kAQFFisTvoVuPtYfZ/M7N5HFcSnE/zMea+Qvi+czVRpiIlaa/eG7AesV/y\n3Ecbc3E7VB2YWN1b7C+qJlaLRhXpXdTXnUB74/2obHdm9N0m/M2UwFirIpyHRdOjcL8wZ/bv1HVL\nuP+gN22Gz82Iyj0Tx6vvcC1cmh8TDofD4XA4PnyxuTm2X/z5b2gWXjsPnv+i++1Vf/qT7S9/0Q/a\n6//V19p43b/yOBxPBy7FylosukyEihqfNiwe+RelymS0rLOeig1tn/OcV+ytfmkDfSLv80w03bU/\nn6eoGsRJEyE0g4WZjKIiCjytI2KAit7nQs/8fWVxy1HaeRRLiayItC7MhVHZeBVWdbJaL7VVCuf7\nok+VdT5/e36wmDbvtxLyj1X0XhwP8ebgDNG1upJydu/PlmcAWja/4x6ZKO5j2Yeu/TpSVWZSWllI\nrg6qBG2IwCK6k0Xje1jCZhHixr3HeVTmUFeOXp5RQl+3qTquEs6Wn8v7U8+V0jJ4FcovkspsQWEm\nRITKkhTC7lZWqlzXZkmkyDbWeIIuxt1xKrqrMsSpunSKDqrIZ1mRV1UWZsBKdl4IT83SuCAima0H\nsTfjPmBP52wEBPMjsZfL6uHDOmNdilA7ncTAdq5uxMrI+6cze3w+t+PFmd1e6/p4T7DrHNB02js7\ns4OzhZ3Zwu7M51kk/bd/8722fXVitx9LRfGQKZiF4/gJgkwDKlvz34iqv3M6je/BllZVzobAe42y\nHOjbJr0WMxfhmiantch/j+bw8TGp501XZUfv+dzK9hbZChyXCdWP6udhea6Zyu7Qa1y52yyJ2M3S\nmN1HGb27rMuUYO5zdvB4nFs3ZxWkwzw94HOfLDdxUVassH9FNkRlird26jVeWj6bmU3Dnzye8RvT\nYvl3risb9RrHvqKyInhGDvbT97FxyKRtiLbwPF+QscJ4jCr3nH08388D10w4HA6Hw+F4xuHf/Phv\n2N4Th/b6n36N/d1v+DHbv330oe6Sw/GMxKXITNhiYfOTsyw61eLZIwuxKno8FPZ+JdQvYhXRKzMf\no0ZUcRUU17iMJHHENxXYqrMDXGwHQERpfX35b1HwvM1qq0O+jhi1FLqIls1pjq6N0sK1PqIDorg4\nz4wiH5Gv2fOexnOFoEAWRVW/1Yv2V11bU4fTg9PP19HSbsgiYHhv2C+iXEZ6Z2QzOZwvv17N44eN\n5fLjMz64WmfhtbHg/cfiZOfUMrXmRWYBuF6vQSBGhIVmZD1Q9nOrR1GEaZxHwpTOpmWJ27Lt5eiX\nisxF22ShO1E6J5WVKjGjaP+4CPyxtiZmWGnvWZvldosqk8GF4FKhv+XHq/FBJDN7rbQWpcdKigjz\nXhteCfsj85yVHS327Tx63wHjynt0qcfh7MOsyFbM6D08bzj7gEgv7HKV3kFluMpsCh+Xtx+iwOG4\nLmK/sCfO5jHaPRoMbDgw+8V/8w77xI/+K2bWMQ3e8CNfYZ/0qR8d2zo+O7P3nJzY6aKLdp8uFnb7\n8QP7X//aT9r3/uRX270PXLMv+MpPs+//ph+3b/r+/7rSSvC3gRdMukWIYnRmZptBwwA7Wv48dBEc\ngcZ8UK5SLacpZCj4i5nKOtzBe4XFbfnZ8j15PIpDhtfGjbbMSDMhjgf4tTJzMRPjhOyOmdnzr+SW\ns2vjen5jrrF1KzIBtNyiLgJzcoeyrirrvSEsYctzM8q9+cjqeaGA+zwR94bb2L1nMzs3Z2mwp+Hf\nbcrulFlCM9ZYddcmbaMz62nXTDgcDofD4fgIw+/dfn312qd9xsfaQ0++3g7El3bGc37fdfvht70u\n/n/37m37kf/4TfGL8xd+9cufhh47HA4zpzk5HA6Hw+FwOByOC+JSZCYW1glkMiqAok8U/+fjkf5R\nVJEWVaJFRWnZ0/J7ykqyRZNRVAZQhpAkyypCC+oTKqIqO0ek3jntjVS1qqJbivuUuJQpaPNC6Lyq\ngjGurY+Q3IyoXo0K25mIuwe9TN2j2FZPCsqqfpSQouaWnesFqzJjLrYMBxhNilijmqmiTPRtv3VO\nzA9O25b2w6vaiMc0rJgZaS3Vc1Kl19GPRLNJKWsI/ni9nRamBJz+VmJaWCm2BNWDnhQuzKOFENCr\nca3aagjQu/eXx7jU+gHVALQcruCraJpHh7kAmccOf0PwuKqq7Cic6qqIywVmX1ZdGVH1cXiN6VcQ\nT/PYTQKdS1U6Rl95LuA1tJtd2zS/7pGgm6LyrxnTxpbTHZRYXP0/UZ9S+3hmwB50l6pKz0WF9821\nYXY800hAG4GFK78HCs1tEmWXNCc+N8TWg8N0/JOB2rcZ+v+CrWQhfCwoTTjXQycn1XuKalS2xVDH\nTYpK3CwWx1jgPCqTk9Gc0BbGkNbfSDxSYb2q6FcAV7neL64pGwv8S30ElWw32N5uLdJeWO4rbAML\nMTfb8G4HKt1dZ7VgG2sjowkWRgHKip0Bo4A+VdPN0jwDtXoqbWPpfm90r+3e2Ax9rbmxZ2fdXFTU\nLEZp4qCefbkBgwuwHQ6Hw+FwOBwOxwcBlyIzAeQRcQgYl0ddlE0mR3P62L/2FXO3zlPad3LfWpFw\nFRFP0SKyQwviPh6fUqg9yn6x5sI5BgSF0+M6bjG2+njYic5FdFNlJlR2oxVRRhtsPVuKLFcJeUtL\nWM4ajXuI8BXq+1GLy7hdVVRKiSDxmrRuFJaNJVrv9QXaUHNeZVFaNrPNCHejKCNDiWoRxWYR6liI\nmZedU9uuUuE1zGHY9ol+jUXkdi6ybGifo2oQD6c1wja8tZVyObek5e56nXHEdXJEjKPpy3BeU4o5\nZYqHo/qaAFwv96EU/PI4rQmTiOFoWrR1Qu8FoeO0tkos+8BQ1tvIbuxspfFElLZVzJDttZGVUqJJ\nNe9OQxRejXGZOTi1eo6p7CX28nE2lvWagoiTsw/ludlSGdHoKyGFc+dWclpSez+eO/cjakzReByH\nqPZ/osj4Y+FvXhU490aIGt83puJnYTz39lJ/0nybhmusLW7vIVvg0VrXLrIipyIToDIOKouALMQ2\nZU+uhb/R740TEv4+Gc4ZxnBnNwmaByHSPZil40+OQjZrv7ObfVSYp6hiiSpbhnu/s576iuwJrpct\ndJHB4EwR3udMUolluhmzPBNyHIod7tzdjcFVWivIDhwfpL1EmVAA2Ds370pzhYXjZrkNLjIS14ap\nrScf78a4NKUxS2t9c51MFmBEENbNzjjdS+zTuA/7t8nMQbSvRNbx2q7U+5JnJhwOh8PhcDgcDscH\nBf5jwuFwOBwOh8PhcFwIl4PmtKipC/H/tXV4hKImtETT2SnPWR+gTD21RLXchqziOlwuFm8hS1du\nrKZ/sUhu706X/lXXXdZ1yBCyhFxhGym6PnQTs7bwWlGTAOXR3zp+ISgrrfvwgQCuU1GaFAVjUNAV\nOG3ZakPNMUW569VnIdo/mS+njawSrffpK5AJzgsxnazOLObOcON8FJ1ERRNtDRXdrB4fvBbNB0aC\nqiSoVUhF83vHh0u7b0oQXvY1O1pUCi8rWmd1JhricvUe6HhMoWkKsFv7qrg3W8F7nUXZoIEpqhcq\nUuNfPqasUs59jSJwogZg3t3h+kaoMiz2wuQDT+L7SCXp3tu/kyovs7i6hKo4jWoKoKypseRxQvtr\ngjKpaJcQspbV37kNrgEw20OtjZx2Zlbve2ZJQK4AahioMY8TlWYqBM+gNz240dFGnkM0p8U0CPOJ\nKnIcRfthTA7rSsTZvrSTU3v43KAmseh7P/Qb/d+h91RFblBnbj3aLfZHH02ULNDSRgVlzyzNT6YJ\n4tpA91tFY8ScPNzr/t3ZTfSu3XDvJ4N6DYO+tC/oS/xFtFWfIR4vKGLqNVCe8C+LszcCFe3a9UQd\nguBcmVhA7P2YqHQOsNgapgy3b6Z78+StadY+r5Gtne5fruyO/hzsdZ9TdSN2rnb954rVeBbxGk/C\n6zAWtFdhDivThL7wzITD4XA4HA6Hw+G4EC5FZqKzhs2jMFLs2oh49hVQl+gbXQdGQhQc2zqrI+gq\nKhIFiUJ8iEgbZwKOQqRKiXWjRRr1BxGro0OuKptHE5Qtbd9q4PjsrCV4FlEygEW1rWwCouXcvrIk\nPI8oWUWP5XGI+otf/6NGtmwVRjGiV983Fe0rs1cqC9ESNWfHnTeDUbSr1uKqTEyJbJ0OEQWuozRq\nLFoR8dhHEfFRQFsY31UmAuV7asw5wliOhRIMcqRXjUF5TkBlGpStbl8r5vI83P6GEOuW/VAmBa3s\nmhSE7tZmFK0xSedbnm0yS1Ha9G+K0h6EEOPxPLWxG6LLBxC2ZsYW61lb3B4i4mxjiUg9R5LL54Fa\nM0ogHcfirJ4zuPcqk3NMYl2Ma8xorNdRTpUFLo8xo2irmNcQo7II92bYyxE1PhbZIG7p/pAdeG74\n98YgvXvrVhftZ0Erov14zs3FXnIXRbjnhS0rR81VpgHH7Yb/I2NiZra9CCYINNa3DrtI9a2QkXjy\n1nFqq4gyZ5bS4fl2uJ+uDdeJecRZM/X9Avf3ruv13gAgu2OWRN/7oujgRNjRAscNa9sWVIYC4Lbw\n95ReQz8mYex4Hh2f1ntBrGQtKlof3O7uEa/Zcs6vYqDgniOjwZ8vv5upTKBqM2VTl4vMzXSmvQXP\nTDgcDofD4XA4HI4L4VJkJgbW/XpbFWGuIlQXzEZkbTasABktfcO5I4EhsKUiSdOiYJNZ4s4t5qkP\ng1H3WaVzQDRx3LDV5UxFq5CV5O2Gz/bJKpjV9rursk2lHoKzEep+Kf5kq/34ntCuDIfLrUKVzqEP\nOIIQ7V8VL18UXjyPHqJvsbjz2svG6D29NhJZtTI7uCo7ECN0wsayD1Rk9VREJtU8BVqFAuW9OWfB\nPxU5jMXbaA1ylPWpohXRV/oIvAYdFl9ja39UWQi1F7Z0S4jKsg6hvA6O7Jdr/XTWzso19TjQR9Br\niFxOw/E7V1MmQ2km8Bp0DnzdiFqq5wLGmjOfs8LmM9dTWTi+jm7ifo2y6HStKQEQ2VZ6LR4nzFNl\nWYn3Hj1LoxftQ8NU5igzIsiPBqvOGb2HK7pCOgRE/u9ZdK+pyD5H6KsCp2LMec5D84CItSqwpyLo\n+NwmTZpbN+tMCbJSeI21NOj/RphH65NaA5EXM0TWqztuKmxF2cZ6Y2t5RvlEWMJfmUyy//N1P7De\nzf/RdPkcPiKhzV7DLlZhs8ezlDUc+6IAIQDbV55Hm5brUg7o+mGTn2XvivXC2lSs9VyH1N0T7FFs\nYx37JXRnpW2sWf38U88flc3uC89MOBwOh8PhcDgcjgvBf0w4HA6Hw+FwOByOC+FS0JxscE4RrRBn\nAy37x9ZxiorSgkoxMT2nDz1ldlwLqZBCa9mKmlEFX0GjgG0lC7tGZ2V7XJU1T8erceVrK+ks/P+T\nk1ooiPFU4thh6Ndw3u93c4tuUVba7Y7PqRhqXDNhe2HPxudrV1euRbuJPrZcjLqqinsfEfRFwePU\npxL8SvpVKahuCJi5vQvTrkR131iJWNB41GsKivJR0puytua1WBfr61RYvSqKG/oN21i1flSlcLVm\ny71ptRg9vw8t6hcfB5yIfUxBvYdzszAaf4OS0aKPrbo29E3a3gYKkxJ9og9bV+q+8vWD1oDzrKLq\n4R6ifb7Pc7GXp3PX9q8A6FHzFecuK3Kz9eTaej3n77o+yV7j9Q+LVK6WjL8jfYxpTuHvo4Zo9AGy\nf31u4HXBWpVFsvx3CVWZG/eeP3cjVJ2GoHd/hZgV1wS72MPbtUCaqVgQ5IIGw+cu6ZaHgoLHa2Ue\nnyPL92i2yy4tkrkt9IuruA+K5u4m4fk8UIEOqP8tQ4UbYV7jGrmv0biFaFHjQEMKGvb8O1H4LnHj\nSupPaSHLgur4nYgoWcfhNaxTUJvMtHUz1iNsXNV3CTbaAL0JNLYDomQmYxtYvSpL6eW23ZkN7Ppq\ng4RV8MyEw+FwOBwOh8PhuBAuR2YioK+wdVU0qj5u+S84bX26vM1WBJcjDq3ieaVtrFmyS1XWqsBC\n/CqNkRiKfidRHwnU5nm/c9FxEV0X17bIIrH5L26GEkO3LMxiWySyKiNoCq0IN0elVFQNUILqlDGo\nrVtjcaiG+FgVdlL9VhFMtDEXx6v/l230LXYHcBEdRGlOVQRXtKUyMbMiWqwyOCq70aevqxAzeiLb\ngfWgorpYF1NhD8j9R1/RhiqWJvuFeUF7EKKUHBnmSCEfY1Zn3Pg9tK+Eti1jBYYSXldtZWu46w9M\nFvi9Pta2qj8spl0zFFWrs0zAiRChqr0Hfyvx9JGwtETkc2cDmaUEFLyakmDz9mNdNBr3ZHq83Gay\nO38e8Tw+XL5frCpqWu79Siy6JgTbKGK2tZOyQWrdjEMbsHOdztJ43Q6vPTxLkdiW+LZ8h61B7gmR\ncLZixXimgm1sr9u1pjJiOos1z47h41SEG+JeXpHbhUXqXlbEtevjHkW9y4xEVlQS6yf0f9+SOBt7\nKO8p89D/WSMSnRVvE5mYEmxegbW0M+pem9O6UM9gtBuNFcTzENfL96gs4mZmdlJ8N9i/ncYC+8Rd\n1D7WZVksjvuj2AFKIB2zlmxtv4E+1usHxx0fpLkIC19kp7hwY2v/xVjkczgv1sm23MPpIDum68fy\n+6vgmQmHw+FwOBwOh8NxIfiPCYfD4XA4HA6Hw3EhXAqa03A4sMnWuEkNMutX5ZqzZi3xajq+pmSk\ntD3RX8rPqXQ+/d2i3iRqz3LB9ipxTeXnTlbVSGfP6bVWNdNIBQC1h8Xcov1UIbjuVx+KkqKd9RXT\np/fS3+NRTofI0tnF/eXrRsJwTul5CNXLehAMJZA+ESJcdc7Yr0bNDfYM71N7oUUPklWrhzX1K86Z\nhmhaicU49V5WJ1dUtL7X1npP0YoUnahuK50bbcD7e0RlzWMan8ZiiL+Lz5mlVDjTTGJKPNAd1FTO\nqqXC93673vLjHENl+4Plle3N+tGb8v0urJGzmmZX9qHrd56OZyxUSn+E8alFjTg3CyNBBQIdgsXZ\npeEEU8X6UKwYqnIvaE4Q3F4ZpPsMCgZTbsoaAGrvyelHyx/pLarOSDxHWsYTOA/72KNmBsb1ibP6\nTnONgccDhQli6z2axHfCa8rvXwE9wxnHdJ7tMD9Goq6DotQqmjDuQ6SIjJhI1SETtILydRr+peMx\nB56g50JZDyHf50MdAWp/WtA6x9R+615Qbq0AACAASURBVFl/JuoUtITXuOdMWd2IlD4hIhZ7efxb\n3Et89nA/vRYpsViLU9obwjMA94PnMiqQn27xvcwrx4M2yOA2rt+71f1R7IlmaQ/h15IIfZ4dY5Zo\nQqpekaL9xc+xGUCsJVNT6fBs1Pet+9yY9oZFfGZ07x3tp31Gib9PT/qtvdjGuY52OBwOh8PhcDgc\njoBLkZkYDAa2PhnJX3XZr/jwdyuDsUbSrqZQuGhDR/E4ylS8Iy0668hnX7G4ahdQ0dYovAz95nHS\nlmd5hP5ECp6FYFhUiQYw1r0F8T0F2802GuLw02JMzNK4yAq44X5xZCJmJERkQls25hHSzNKvFRkW\nrynrz9a5nypGIjOh+h/v0Ubdh/NayarIavx/4z2GrupbGxGU7fIah42mqmyNaNGoce+VsDXLZBRV\njFk4dxaqrKsIGqLYHFEuRZxKLC7P3Yhm59eyvJIyMKMoWJl9WGVXXFrbsnCwZRd7stGND2drNta7\nvyeL7t8FnQ6ZBthNZn08q7OWa2uD7HP89ynu22kdEVdjDWE3MhRmJPKl/pfWxaoKdWtPbO3RPCcx\nf7iC93awQ/3dky46+xjZukJ0O6H+oEo1shBciXgmsjp9gB5yJuAKIvuUmZhsQYRfR8ZVZuK0sCQ/\nE5n33BQkv94dum5Y3N6h671WZDo4W3bX9eXCc7WvlhkoXj+taLayrN4M/bh6PYmakXlSGSu8xkYE\nB8EbFva995FF7+33dda8sJQ1S5bNau0eHYTvaOE9PneqaJ+yA8jyqfdUpXPcN2QoeC3is7lYv2tj\nFvfOutr4gLLS8Tzi3mDfZsTq1pP6+b8o2uD9XlXKxt4/DcfN6bpV1vK83wk8M+FwOBwOh8PhcDgu\nhEuRmTBb2Nl8IaMuHN0dF9HlVRqLPtBWpv0sFYGWjWvk5T+FvqrPlhav2THhV6z6XDmGZlo30vrc\nWXFt6hdvXiAsLwDX0kKo41YVIBuO5vnn6Be9hYjBsDH+HOlGgGpV0cCyPzFqxKOxorDhqjZVP/po\nKPqC25psd9GZzNq2x5zNMj4hwKOyZSUXlc+PiKoqypjZjmIehTHmeCDuYdK81BqloSoeKDIZsQ90\nbVFPNMyjx2Zmh8d1lAmRP0Tmcs53HclENA3tcmYiRmf36qhaeT1mmhddHqf2LGV7C7A2o9wX5VoR\nryW7zzpyyNeLCN7xeFb1FZF9ZCQ4gjsWRbEQbT0Nr62tE787vMc6AbwWtRNrHO1fz/psxhasy+N+\nzGdPxQlrW0eMmbKNbBbdFGur1J2Ymb07aCAeCf9ywTmFUlNy0WwEA9kH/mKD7MC1YRprjA/GQmnw\nZrP2mgKU/i1mjcR9g3aD9SDIdnFhOiBanu6uV++hmNk+Fbk7m+fruG9mH3Nsk7Iiuze6woJXdtN9\nxr1Pmok02ujrAVWqgyYG9rgjKvqGPedEWB4r+1fsDdhDrljqa7JnTdePvWAgssdl1qIbg+XFSXFO\njDn3TX3HwXjyd5vYj6i/pGsT92kzPDdROPJIZBwUUjHN1FfO4pjpDAs/Izc28uNXwTMTDofD4XA4\nHA6H40LwHxMOh8PhcDgcDofjQrgUNKfFok6dgyKRibILIbISKSl6Tasy4rL/mxXUp4IOJWkU9NMP\nr4E60MfWlqHoL6qN0o7TzGwmaERI9aoK2BhrVWFT0aJKigQnmBU9BVC0JQVUmB7OIRav0/Et8REL\nEUsBtrYrra3zmqL0vlWoz+pxPe88aPWjPoaoaI05kI5JfVHCPGV3CYC6oShoLeFvqyo2C39P45pa\nHk+R6wH/KnvNBs1JjS+bFCAtLalDQsSNMZuM/3/23iVUumXrEpqZuXPnfp7zne+ec8+9cgtvQdn2\nb/zY0UapYEMLxU5hQylQLFsi2PDVEgo7gmhPUBEEEbVTaEMELam+VkcEqyFylf9x7n/O/R5nvzJ3\nPpaNFSNixIyRkWvv+99b4J6j8+0vc2WsWBGxYmXOMceYZ+I6TleEZ5w7OlulX3K/PF0+FT1r0t7e\nyVD3JdYiRNxqPVUpPfPasvH8goWL9f6iqtfzWNykNpDu9IlSe3pJPkhx+YFSe362gqiZKviuxlay\nFSanKHZMHNR+BOTKwkJEzGtskds6nmrFKV8QUCOtRVnjcirT0lm1+v/3PuuBz+aK0yw8n6kUlzFd\nBOlO6lm8Fak30ob7UNuVmpX1drFoq2/fdwxbPv2wrj4/nvu4VTKgLJ9zJW/ql0pN9sLra0oJRJVk\n7g/+RpoMp1+9vxiFyyymx1qH8Hr94/FK3mO/6/Gp7MGFRSpQ7LLZWnWbrq1NdUU1aX6WocI82uDr\nhjGEErsr8TpE09Vr57Upi3qmsr0s0r96NvA8vx68t/u+qutgi35vMXwKwUwEAoFAIBAIBAKBV+HN\nMBPb7aH6pdUTHQNKHFMJSDv2rFMKOumCX/1I9ak+m2nWYQqUQBWohKqCiZknW7NsncvCpc45BxEl\n87/yeZw26Vc4W/QCSiSnoupgQ8BEMdPQQ68gD+ZtQe8txPF+nnlup0QCqsj7vGWlpljhKtZrCjj4\nveiMmSqABdRWfvV88XrCWqwKkHWKpamIDfq47ERpFbwNZN3J458b9iS0AyvVideo+98XTWPw+sgs\nHCwoubiaMBHIRbRSFJHn5jEVL9qs21i6EgDnAoSpfVVIbuqeOGX9nTIFQPQQ//LYeVtafl9H6Oox\n4HE9v1hWnzMr0XJEX6vCaEKAbelvRKdZhAvh8i+IvbvKazeJxUUxQDXPuf/btujeRnAmC8VyOMvd\nSrSfmEO+NvwNRkIxCVycDexBtssVFrrHPuvPfeFYDbZiXYGZoHFCNBdi2iryLiK9c8fSKCaDi3xh\nb5vP05ohj2HMCLMnJfsgibMfWUQ8zteG+rjP7bf246UPtW2pWck04HvRR/k/ff+U/4awm78bXKZ7\nYgUhNrEiuf+8Jl2Bxu+oWFo2QyA2IZtdwLCBnhOeMeC+P4i5LNkBGK/2/mEDAzAHpV+tFXPPCrv+\nfgg2sX2Gqc/vtu39DMtcxeJnK2+xb6vzeZG4WgNzwX5PRTATgUAgEAgEAoFA4FWIHxOBQCAQCAQC\ngUDgVXgTaU42DLZ/PlTC4R69rqqZnhJcHoOn7BiThbbzNk3D918JnlV7U9Nadk26DFOyLWU4JYWk\nVx23JxScC4qVr8PTcaqSpBprtPU87wvUgIVITep77reVi3tAJfLZoZ3LM/G7HykofP0Q9fZS3VR/\nZKVgd22c9rNYtFWcp4DHCbUnngVNW4wFWmFxrwqyakOdW6W4bERl93xml2KlU2+I4k7zdViklI8t\nj920FLR8fOrrQtz/oONV3QglgMfnOK3A15fg1B51f3b3zglmFC+FvH86hhY8hkhvWrEX/qq+b7hi\ndj6mIzJXdSaQVsOpN2uRvgMgHeqB64Ok47g+w9dLePqjrki5jl0WnLO4HKlJR7sv0Uv19KmcZiW1\n5RMJbZG6lSuFcxoShNEiLQqpX2sxTuoLCj63onv+EilW6f9cAfubJH5++FQ89zF2mPvHKvWmFWVD\nTLt0KbhmZU7qStDj309prfA4KcAUBON69rm0n9OVhCAcScTzTft8K59rxdMKqq4Dron3F6TtLM/b\ndcH3BoA5R/pYVTeikyK2d6mffDz+5foapX+cfj22sRV7A65tJva2u7RW7j6WNaPa93tHnbakjEXS\n3oN0s873GLPy3LhLouzeXKqU9y0lmW87tVIA3idfum8HMxEIBAKBQCAQCARehTfBTAzD+Gv3pdGy\nnhXb1ONfGrlVgmFvccnt9lgIxRwgai8FZMpuTVixTo0M9/rfgxcWchVh/LLvVTNXPeFz9wTeU6oy\nV9GNVR3dWJ4Qc/cYHG/3W72nxKvzVnw7pRL6SyMO+fgXRjtPIVdQXbUMix4nV6F+4nX0WC8lauyJ\n2F9qkCCrPXfmWbaRxmU4tGsYUNE7yVZ0xkyxNer+9zhVQX6KGUUPVVsTDAYYEIdz/zMr82hNW3l/\nEfvwWTZuKP25TE3laCqdG1HsCxLHIvoOMTGLiiHArqxDE0txsUgCepr3qxUYKGIr0tzdf1KWm6cj\nkz3wOIEwvN/RuKKqtxNim5XoNDM3K//MoOs+EzaxC/farbB/BdiK9e43o90qW25iXHK1ZWGBfi7Y\nLNxHbHH9xfvRypctfbG3fTzAMKQFi8QhjC7PpvIcQVvcR589oZ7de3kvjsepfWlprbi8VLsu13vz\n5WjicHVzXh1jpu2QMW+412tTg2TwIATkxbqZXlueZgKUsPiwac1WinlFaRNrBIzD54+lIvkgvid5\ndoD3ZWXBDHamzFtbhZ6BZ9JWCM79njz1+1XPtOel2SaMYCYCgUAgEAgEAoHAq/AmmAmbjb+ypuau\n4xfZFE3EVEwtsKX0ET1dQS9SKttftbZg62SHuBfMzVS7Vc8+TC2epiLpqhiTRxUBSG14y1eGKo6n\n7EdVYS3fjyonu8NIyHkQuot8HRPzwAFEOTjSk3UgKZKx71gA8muqX+eLNlLlwREuH2k/ZQUKxikX\ntFuSxaDIl+0VPeshR9eFlkatU63tqRkoqYEStoPAVBbFF+ZjsL2pLyR2KqLkx4wjjQAin8o6mD/f\ns4RVfZjCxlWvuXbV2j9VBBTAmuGxW6YaW7CE5Ps/54gj6iqKgQ2bsiafHmrLRm4L/RmEFgBRaaUT\n4Ig+3l9Af0HHnYlhRZEu6GB694pawz0rZr4XF+lPHp2FYx8qq9f07zvSMtw4a1jWWPS0Ev5fs8J8\nQJvBUf+P0MZUOqExAv302BYuy89gkV+P+6ayYpbPyrPqenfUH1W0DtafSgNQrDyPawcY2PM3DzX7\nYjZtH+Jn69XteB+8//aKXkNxxfG9m3eFkflBaENu8RyZ1Z83M3ter5rj/b1UWfqm5xpYI6x3M7OH\npHthtsDrBPZUoHaztgZo4+mutctWzARQdIX8PeOsOR6MBwrmsQ0x2C8e/2xvftFmZDTaGPFdbRAM\nMT7HTMZSWB6/tDhpMBOBQCAQCAQCgUDgVYgfE4FAIBAIBAKBQOBVeBtpTkNLBxZa6ngqxhRxILcx\nVVCJdlkMtHACpFPVkFV6w7FjzAqlBTFnTQUmgacQaqmUJoWc/pH681Kpn0rrmmxjKyp9vgRVaoKo\nDunBY+4rx55KN+mJ0c9FKtaxz9fnpGqvV+O1YH43wvZSie/zWJNLqBdlcZoQKp7zdeT0l868VSYC\nKc0JIuhlZbd4vPKyqn7aQy/NpjY1WFT9r2ng01W0T1UnBnqpBr20xUUndagSr6dxrcW3tcATolGz\nMtZZlPoobBqpz0hvQurQbxORUuYPPftdlY6nqs8D565ysRmnrJxV/47vtalPQBHtttWSldgy7/NW\n+jqk4/dIURBPYGUl+1Vam7Ntee9pXadMmPUFocq+GpDXu60tUtXzhCsd7ztWuAALo5GKlG1TTwiw\n8RpSmtj+FdWVMR9TbDDNdOoKbHU5ZQXjOuvcnwysYXyO1xjA/X9epzSnVMVZ7W0LTqV1aay853pR\ndm3pffx5nivbcwr0Y5vug2vxa9/MbD8b/76m9hcpLfDDh3V1HrOSRtizVOUq1HgP+xF/bshpeYfm\nNS98NiPb2HUrgu6Z0XQt/UXqd51qnCqvp3Q2rr797ptRac73ItKW9ymljOGrh68fS18wX/wM6+3T\n6vtLWMMGAoFAIBAIBAKB3wveBDMxDIPttoduZMZsOhPxGsiIsig0NzXy2bQlRMEKOWK96UduSsG1\nNroBqF+ui/Sreiks0pTYGtdd2dc5oewpizJcu4oo53HtMjjMTLQF2vx7vT4ohoVRBNunmSXf3pTj\nBzfW0g6Z2Icp7R9EW4iG9vqjzs1jsnfnVowGrwt8VrEWyiKxJ17HZ1dCcAoLXGmC0GGulKVq7osQ\nzlXv90T+HQGyFCIfjkfXVF8hsjy/QISrRCHPsl2kKKgk7DR7wvFBCHnVOPp7aSrbh4JLFTsgTBa8\nzWd1/7vIJNtxIkKqTAHQFtuJoi0uCojIZD7urP9M8lF+Pvfj/XPzGlBsNVvGQe1LaMMXMDRjJp3u\nN8FC4G/FKqjjIU6GaPoTFetTFqOr1O6lEFk//lhH9k+ZPxRReVtIDVgs2+MR2WcRMYTIvI7uP9XF\nzhZXVNDOMSxmZnfpnsP4P9E9eKrgrb82P1+HQ7v3qHsEz6brG7aUTpFxseZlX9JbbHm8fhjX6afv\n1+nzZax7xRLxDOY1+WNiNyCUVhkczKKWqH27omaLdp/0tvG9Z7hZmRtch7S9FWON+cX18PF8z37x\n/qJq47n63jaOay+LYiMKwvYyabitKTbzjGAmAoFAIBAIBAKBwKvwJpgJQOWK9/JyT1nJdqOyE/LN\n+Bd6zk8X0bhTjMox8C/PXL5d5Fiqvr62wBF+zVZ2qylcgfdUNEHl9qrcaaU58BHrnkUnv4Zoy27B\n9mzI4Wx1FKooTg+5CB3pYZYu4qH62ltXOj+3tTUcOpHrymLwUH+OgTZgtduzy6362Ol/FdVyQVAu\nTlRb7LnPps/xmlFRHW8lWzGBsKNVRY/E8csUzcY9xdGvbYoWTdUvectN/uxUG17FFBS0Y5eLViKH\nmCKxV7fjv4iqKStGjog9i2gXABaC9559j0URzOSUtcXHzPJ+DZ1XW/BLRQeBaq/b4jzJulXka1fz\n5vQE3HbJaW6j/VjrMorfvFJe46PVc8EzgHVBvjQW59AekdYC+e8dq+5TffSWrYq1uCfrUFikgmFg\nPYWyzMVxyHF/ei7jmq02XR551WeaZ89kqijsIKP9bbQZY8fnxJihkN1HYZnKt7DXge2pr3u3Js3o\nOeWeTWatXouvTWVAeLaCrV4vE0txeU1MzLuRiUHU/GFG85z+ZdblY2Zdxkj6jx9q1sZMR/sB3vfA\nSDwIC13c/6yB2DhdBz/7lov266/PGlH9Yp2DZx9OfVcD04Mxr+2Kt1Wb3B76w0VWcbxa6wBb1s8v\nsFZaHRxe42fYXjDPPQQzEQgEAoFAIBAIBF6F+DERCAQCgUAgEAgEXoW3keY0m40VsCdS6VOtYU8J\ng6tjT7QFSqlnCduzJOuJrtX71f8FBfiSa2Oo9BrfV0Up80L051aWhIwsskypKCoNQaVKLXKqUVtN\nu6pCeV5TjT1aUZ5HVcCekNYy5X3ff2Dm0i/MagvJKcj3Qfr/juZ0dhDX5kXEIq2wVz1UQR2v7PvO\nUi/ZHpRFkh752igFDeky+45wWZ27l76D45EmZVbSok6JRHNbzopVHdcTJptNExYWMWSb2sMpIt7a\nVqUQcf96lbK7/Z+YNuZTT6qUsnRuFnGqyroAKhyrCrWy3/M69UFWDxdGBBjP61nZ+SBE5grJPZtV\nmeY0r/evC0pPQRVdZKWwuHzKWHPV9A8qbQdpTun/FyzCTdf0iT6Ha8umEZTCgTNxyseTE1kr0XRJ\nOSrzjbnn8ULKjdxfMKd0buwl2RaVzo1znq9YODumCq2S9enDc0nLQQoQ+sD9UGOtrHl9mgz3B89x\n32Z9jcefqXwd17eocl2sSVEdvoclJeT5lDIYB5gVO3f1HFHPDMwlUvRUeheL1/G9ShmG5HVH/fap\nrkbjKsexkz6qvksASBFjFIOHMr6wzkX/q/RRZz+svh+yIBz9wBhW6y9/532dvb5ZMBOBQCAQCAQC\ngUDglXgTzMTMxl9q9S+3VqBWIlUvFJ6IaNykz4mIco4m0O889ZqPemn7RFHEaXXciu18fvw9FYmV\n1pnC9tZDRSHU8YikLU7NW7LwQ6EijixjXBSj4QvOqetgZKH3qhX5quvosSi572LNsF1eLgYohL8A\n2/CqaJ1vd4o1qQJfz2oFy9DjbJnsg1iTZ4IhwnXy9WIMVMRHiWMHd1xtAdz2bXWRXkxBIyVsL2gL\nHTF8IbUqotSx31VteoaIz94rlHkmWBpEqtjCFMetn3dNX5pInTinun61TtU9gkj61AKESih8cVUf\nc8qSGAJkRHVr0X5tFboTIsQzYrP8tfP9p2xHS5R5PCczDzmiT+JVCJFhm/rNshVnchS+MBPJopuu\nDYwHCrz1mCuzdp/ncb1MlrafiWlYpn5fJwH8hhmW9B4Lq8FW3A7je2AczMp64Mgq+oPI6gNFVnGv\nYy55PalCcD4iznaoYHOY2cT9oiyosU+o4ocYc57nmzOwG0qY3xpJMEsBwPKzt29jLrnYXbEybQ1P\n8vmuW4Ex3/8Yzzw+58cZYP5sj2HRIv/EKtxxgd3jrG4Wrws7Z21ugvuf1ti8Z1zSfu/pFSAFluKe\nRfu8xnxRVrNiO/zu68uj7a963+loHWEd7DOD064/xlSjGSCYiUAgEAgEAoFAIPAqxI+JQCAQCAQC\ngUAg8Cq8jTSn2Uj7ThUV9yod9ypBT6nmaqarPuZ0lk4KRE+8esrfeOnOWfmPd6g6n8ZTtdET34rr\nuLwSvs4d3+vs871oz6PqcGRx7KJN9VFz2mtLVtFWKVl9prA93r2mTAGUt7UXbh9rw3vaK3FsT0jW\nvY4TtU+mpPupeVbXPQWn0gpzCg3qnNDxS4jq5+34lH61tUbUPa7rCCClbGxfedwrTEkVY+QKzNzX\ndB11ld5V1a9qzTyMdD/SF/B/syOV4Jt7nQXPKX2Ej3GidT73S2u3KJSUuLHfLPguovWy93hPfwbG\nXx3T2wO96JXb4OvN6wL3IqU03aQ5rFKBUhpRrslA+zjSoaqq29g7l7Pqc2YlvQnpXbwmezVucE3r\nh7LOv1iNuYD3Yl9F+tKerk0JybHK1PMNa7BKEXM1FTYktH1yphhcpwHvbR7aOhCLq7Pq/3wenren\ndO3KnGEhUmOxP/4o7h/Mw5+JtpDSVAlnz+vUGLMyd17Qb9amgXK9DBy1p/Q0n3LD93OuKE5t4PsL\n1vI1zTN6vbVyPNq9ul+mvhbxce/5r4xOiglKEitXKU3tuj72eUZVV2ffipkBpOj2zDdU7SAGUvQu\nrsYUPZVKp56tWA+c7oR5urpp08zU/ZwF6ik9cEX7hqqU/dJnUTATgUAgEAgEAoFA4FV4E8wErGFP\noSeO7TESU6Cs2KQQucNM9H718nuLTtR4lao+bqoapoemzRzdEL/GARb3eHAfhn0deTrFcnjR8ZkQ\nMKnPKnG5tNp0EfqeGI1fw+eU/Zu6pmyTO6d15KLlykqSxb3DvmZKlkq8Rm1cJiu/s2VrndezyW37\n0EY3lIFB9Vlxj3hoi94kFp3ImPTuOyUenh+O31vLyuWwjgDic2ZtlXVpy9kRbHOU7XlCxeyqXdEf\nWM0q8bqvaMv9xpj8+GGd37v/VNtkqnlUbGqpmlpeywYJ9FrPhtNX6z2FKda8Msp8zowBzp0Enut2\nnp83LatwsRT2r86esYquP7b3YJ6HFFHlyOoqRaC/Pi+P5Vw5OvX1j8hiFEzGu3OyT8XcpS3kG6oq\n/ZisVX21aP67x64zcE3vlvQVYldHN59YXC4qffv2K2OLNC583+QKx88tm7V5hGXo8XmoWOBDHf3e\nC9E+j49nTZl5Q2S4stpN729Su5VNbjqnqpiNCLSy9KyvCVHsbfV5/luyoo/tPbh1Qn75XYXahygY\nUfar27KJ3qS1yIzY+2+vqv7XRhjH1xbANqqeNdrR/aAyB/Le3/l+xePjzWvUXlhZknettlvzjSzA\nPrRr7OKq3QvzcZuWMXn3zTgusO2tvpeIbBnY6eI7wmbDbLnI5nhhpkAwE4FAIBAIBAKBQOBVeBvM\nhE3Lx1YF1zx6lmGMKVFHlWOpPj8lr1idT9lGZsvK6r32N2V5v47unjq/imTgN+8yRdI4h1PNC/Qd\nvWhCTzugGCUZSRfMwX4x/t0rHlhFfDu2bLlNnrft8fHMDAC9N5/XUWkeO9gbshbly1QsabdFfmqf\nUcOa2gtWJPfBRbrMyrxxbrK3pZWsAo3FWYeR6LFe2b5vYp69WhfAUPXHRbg7c6QKWinGCrnWvag8\nt9stgPdKS1/+LKKntYXpcUaihzN3n5qxfWdbkEuxEK/VSkzdC3GvbilqPBz21XsMn3fds+82Mzus\na0tSjjZnW0q21XRtIMprVnLj2RoWEW0wFKyn2CUmYE3zBgbgF8txTbJNpp/f6vmTzq2i69LSN43/\nJT071qLonkdle5uOGxITc/Nu1RxfR+PHOUHRR8VOYV0/i6irYu8A3lcxh2fL43qZlSgqJ22yUxM3\n1Toaz8Vz79lyXjOP923RPew5KqKMcVEszUYUYcyWqmlO1fOZnzG4tqvbcZz4XkdO/x3Z639M9xsY\nCtYJ4Do//VCY0scPY3s/fhj1GlzkDixq1ncx4yts0XvfwyQrmmRBeBaovY33fs9MsBXz5VVrMQzt\nGux31XNO76ctA9X7zqiOwfs/+Xb8Pz938TcX93wpgpkIBAKBQCAQCAQCr0L8mAgEAoFAIBAIBAKv\nwptJczoGpvSKaKW1MMzHiNSEHpXWS0Oo6P55S6sBigrzlV1VulBdnRHU/tgWV9VUlo2FEkcVzfK7\nc6tsE5sUnXK8r97cS20ya9Obenai3N5BpGuUMWDK+rhNrreB5b+L2PW4aEyNidG4DmhXsIk9YX6h\nU8vxi8XxVCAIdJeUhgVbQ04B8Okii0ocV7/H8zY4+pXRs8JVQvspFaQZezHWKu2llwqDMVAVf32f\n+b2cTrFh4VwSTVLlWNDxTylFYSMoeKaZvciyEouKNemtbU+ZCHijAGUZvNu2e5Bq388lz4NK6+ql\nafYqyA5iv8DxQ+dzXKEa59zSfOXxvGjXnbdz5eyUfE3i3s32qWQTXNJlWAiPf2GvSdWG0716N5Sx\nQ3rMu3Svf7ct7X9MNpY72u+QRvRDSoH6GVUnvlqcV33llKYsyp6361RVkJf2lS4l7IHsR5F+9e6s\n/cqB6/iGxkKlPPl94pRtb35PrGGMf9fYYmKacFeEi38pvWt13aYHQhyL9cf7qlpH2W715ry6RjO2\n+YTxQZkHpDlx+hveVamYq+vWDQp5fQAAIABJREFUrtRfZ2WHnNq/pefOxyGlpy2RHlXSu2AEwSlK\nd5/Hfn/49WP6f6mMju8eGBOV2sTrdGf1d5WeLbe6poslW7cuUv/La3g+wWaVhfP4+5Kud5XauEyi\n/ctrat+ZapiVdYC0rnoeks23su+GEYb47nSVTVra+/nT8im/hmfYVAQzEQgEAoFAIBAIBF6FN8FM\nzGatoLYfjR+hIpMKOoJR/05bULRMRb+nnOfUOXvwhZ0O++MiovH92sLsVFGTvli6tYtsjumwD+o8\nqqjcQ4pSqGhnr2idYkqkRe++jdwi+vCQItActVSR2K497j6JrDnqBYs6iI6JLVgs6za5XTWn200r\nOPPX2YsUczTuMUVg9+Ia5XoSx/nosjIdqN6fYu/csVauXoO1oAl2TZyHjzOrxdnrMYBWRaz82j0l\nMu+xm5l9nGgKgH4w++iLWykbQSW0V0yGFxtzNH4j7FD9+PfWmFm7LgaxR6v7Wd3Hap57kVUvmq6s\nG69hDTunz9Z7DpgoboPhbVA5kolCXyxSPkvnmqWmuEgcRNl39NzauuJwvGuvUruXEHqv2sJosJQe\nry0VRFy1UVewJ8yKQFB97/41M/s2RXj/0qowDj27WMwRR7G9YLYSFq/H9hVT2rMAV4XaVCYA1gHW\nGBtvIMJb7bVpLhfpGnlO734zRuPvP5fIrxdL8/N2K0TTWKdgtnjPQpQcDO6WxmkBK1xqyxcN5OvA\ns5X3EliRYj3UkXRcE3lup49ifczWZEiQot/V9a5r69yNEFnntUlz5e2vx7890zjt+QBUxX1FwU/P\n3jNKccWyJmFYAmaC1xHOxWvYC835eGU9nfuK/eWahfNpnrbttcF+tyfwPoVgJgKBQCAQCAQCgcCr\nED8mAoFAIBAIBAKBwKvwJtKcAFXlcqq3uvKSzu8JsQvw0mrXvn/1edpUILSvBIlKLI7jt8Kf+sxa\nGlj1Z69SUDp1JoCekLwndlNi60UnJYbPrebGe0KrFJQear/y8d/Lq7Y+RU/0pa5bVdP243KqdoOn\nqlX6GM+DFxT3UkqUf/9K0LRIi+B7S1Vxx/uKXpciYjdmvF576WOKxvaVSNV5FJ6TWLQaw3mdfmFW\nUgCQErB+aNMEuY29SN3wGMT+hfXHbSnxKujyT9+PKRacmoRzIz2Cx/5CCDCfswhybINpeTXPr8VL\n614Ap9KobFn/l1MsfCVovm7MIZsCeFMDNX9qLau9AfPL99nGpWn8nFLpIGbmqtgQXn9K65TrUkDM\n/Tm9x4Lpm9THL6kkPK4Xa+vJSlsQgnONC1S8Vu3/PKU5XdJt8Hi3qcagSD8LeOxy/QRRwRupMSqd\nRdaBwHMkpShxHYUszq7aqNOnlCEBp2QhxWuZ0pt21WdVNXmsh7qWBl8TwwuQVVXmbD6wblPXDmIv\nUddWUibbdBlVybtU8C7rlA0Rxj5wLZbx77uPRWSN9K+1q2rO/cccXVOtjkGkJhbx/WkzjvH4Nq0z\nH4c0aho7CNnPL56rfpmVVCPej7/++bWZkYEGpw7fYT+l9LdNff/X9VNaIwVAVcD26bLLc/4eM/6N\nOhhmtXnLFAQzEQgEAoFAIBAIBF6FN8VMMMovQhaJHhf3tZ9roUTBU1iIU1AR+hwBnGh1ltsSr22T\nHIvb99Fi/sWtWA2wAbkqbqdq9amopb9eNa7Shi/ba1JbQkDaYyS6wuvcfxK0pes9X027lXrVm5VQ\nsBcp6Z5HRLMwhxy5yZGt59ZWF/eBsnBF5ImtZD0btX5o14kCIslse9sVzKX3OEKMv5k182OsmBVp\n/9qxmUUbHP2eL9qq0ojo5YqnJ6yYdynSK6uyJqyWx9eYYt6YDUE1WUT7OJI5c/cbC8kRaeSIGK5z\n24mIVX1zc8j/byuwt+jtx4whzx/367iYdso9pa5n99iyTIBaYzz3uAcx1tW9uGktQD1TovBLiohD\n1Hyf2IF7IZAGFiQKvkW0meymv74d5x5nviOrV7T7aUdR5sRMQBj+LdlqghWZWzv3OSJLlY5LteG2\n8rKyT0U0G+u0x+IztsJYZJXW/IrOvXURYn4equj9aob2E5O5KucevnDUmJU5x33K1bdhHqAsWPMx\ndC/661Q2zcrCXD3rMf58/KcfRg5JsRC5TTHWWJtbcU890zxgXhUTkIXzsFalcz9lUXp7z8MAZ6j2\nXMxNy64DVSXy9bjGtLEKGKL+9wD0Dd+TeFzBSDzet6wxvqtwf54dG6ewFd8Pl3lfKn3F85Of4Sq7\npIdgJgKBQCAQCAQCgcCr8CaYiWFoLSxztLV69bid6xR4+1mzfg5ndeaOLaVvy6z9dSwjgiofXxVl\nS/9ycRtE2lW+6SpHK6gokWMkVK6+irpOsX9VehOGjzKfid/I3H5mjTp9rT7bmRNEOpAXutu2feX+\n7BdpHkRBLsW6+GvjKO1CjZ3TRSh9h8pxL8eU43v6FxXFyjm0onBZbl+0hfZV3m+vMNWc+o5+cF/3\nHXZDRa+8/avSHAGsXygR+jbKiailOh8zB7iXegwmn9MaFqi0hfuLbQHRj6ItUXnF7ZzOxdzgb1U8\nsLTZ7j29YnpK89VjJGYigqZyh3O7yu63w+r6IoVmVtkBt31t711E/pR9JY7/8eO69Cf1n+cN85r1\nApwPDiZpW6Kzf3/Kz94nVuA7Yg6YRTCrWQtoLdhm9t4xGWzl6m1gzQoj4YvXmZFlLQ2hX+s81tk2\nlexT/Z4AJodfU7qwnn5MRZmX5/X9UB2vGF+RW/70Y11sTNlwMgPoGasfP5Tj7z+NbXDhy73T0igr\nZmVvXJiuloFWVq+lmF4Za89W6KJp4pmR/n2qLH2F/sVlPrAurxQIHcdudX2CCVihsFs7FrD0Zrt1\nX7D4QGxcr/gmzsP7Us+S2LNsY3/SvS72sa21r3mGW2knGVhbe1VwMo0r7OOPtdFDMBOBQCAQCAQC\ngUDgVYgfE4FAIBAIBAKBQOBVeBNpTlPh0yhU2pKq+KveO1Zx28xyBcKpotqeKFNRbnOXxmPWT9WZ\nAkXfyXMKwfOxY6vXhP0rwOPat+g9ft291KGq4qew7cvvgSbsiExlBclWn9ZNS6tFnDV9ujgxD6DL\nc4rPoqWzOQUgC+1FSt9rTQN6YtEqVW9ei2/52nzaglmbZlJR+6kNtmdEndfhoNYABHCcqlfPF8+z\nT/VSlp4sSD7s61QvlerCaQ6+Ci1DpUh58JiDOuf2r27Oq+OrtKjDUB3PgkqIAlVKVi99qYcqZUpQ\n+j30qtUjPUilg750L8QxVVu9ezb9y3aKSAdR84c0HlWxubZ/dEJbkfanxhCpNCtKTfpLF+NreOj/\n0bac+/uU5vRAaR34G+lNK0pfQpoTpz75itZ7sqXdpL/3NBRlfMZzz+8pNW4PcTaJst09olL7MNYs\nLi3pJsKavGM/rCySt9kKtLSP+4XvQYjJMc+8dtDvL94XG07sW+++vjSzer1iDUCcXfe/3Te8XSyn\ng2mjgzp9Z0PrD39XFuBpHeyWrZGESu3ZHdI6mtdpamZF2L4WpgaXaT/ivRdjzWMHLMW5cS8hnWqu\nUmkphQjLIadtV3bCdWoZA+uBx2kh0kZ7+zz2X+7/U64Cvm3OjbmBPW2vNIFZ+U5aUu/7VuzKzryH\nYCYCgUAgEAgEAoHAq/BmmYlBCGABb+t6DFNZiqPHUARg6YQ5Cr1CM6f62rPH87auU9o71rfer+O5\n+3/Vh9/COjdbMIrIZE/gXZgMso3tiPVUtDIXlTkoK8MxYqDEoogQsfC0Nzc9sfiKLd6E5SSwumit\nKmELukkRkC7TJc7dizL37G+5PYgJhz1FSkRRn14EXJ+rjkSqolXni9Z6sscE+kgxg21pEzGRI27z\nu3JuRCFR0G58bZwTzBv39SYVZuJr9MJcBiKRl2RBib9xj9SRzNRHwVw93llzbqC3V/Fc+YJLyq6w\nB3X/9NjHOdlwThFZT93rJMsh2FAPvhfBROy2bZSziN3Laz6SvKwIphSJJVaR9x8zs2/OyN4UVpup\nzZ+xXTGYA2ITvMiaC+DtBnFviNf8eyzY/gq2w+vWYvTialyTvFae7mo2Rxk2YO0qe1MpqBaRYrAP\nPK5g9rCGb74U966wT85F6AR7pAxSsDcww3r2wyjSZ2F+6e84Tsxw5SKAKZrN+1Lve4CyrFbwJgI1\nS5MYHGvbwLNOmTnw3Pzk26uxfXGvl/kdz/Pp+1LqUBUu7Yn8lRgdzwx/jWP7yX6c9sJswCKeTXjv\n/tNz8x76wQwL1j+3hXkFQ7F/bsdO7UsAj8XgmBvFytX2w8FMBAKBQCAQCAQCgd8D4sdEIBAIBAKB\nQCAQeBXeTJrTsB8qam9KDYNeFWez4nOvvJ5fCvgIq6rMp2jHY8eo/iwXrR8/akqoFBRFh/boQYWc\nNtZJ5ZqawiVF1kjPcJ7Sx1A84VtvaEWtgmIEbcl0M86p6Fq8p8YVUOlIVV87aU5IUeL6A/epeqYa\n490ClX/LXF1e1yI37o+nT7ni9D6L+9r+ZxpVpHDUqQb1Wp+JeVbVSXHdtRi9TW8ovvTt2lQ0tp8b\nJWpUx6oqxX4NVwLMlH5Qe8+PdPe7by6aviJ1QImB1bpTlDvSS3aGuigkalyNKRUQ0M6o62rentf1\ne6fShPz9yHvcYVGL8BWU6YBKWfHmA3zubrrThJRUPk8PfC8Wj35qY0IdIWUsIA0nxNzgeNQ3UMLW\nnBZKr/3yalwDF0Jk/V0Savu6E2Y6tQltvKNq2j9LdS8uWKQ91NfBommk+fBYQIR66rlspp+HqgYI\nzq3SkFRF+1zZ/l1JTxnSqVFfx6yMO9rlVKNNSk1Sc+rrO3G/eXx8/ao7qseB9JS9SFuai70zC6pz\nrZt2nPieRYpRHosq5Wv8m20FsB6eH8f2eVxxbe9TatPYfr03q31Vpbphzau9ZOtE6QxVWymbOly1\nX5F7lchV6hqbCACqps/Nl3V17LGNtH6e2xoXPh1XPW+rfqfvmDn1VhyjjDymIpiJQCAQCAQCgUAg\n8Cq8CWZiNmujddqGUx9jpsVJ+BuCHI6s+oqupypUAz1x4ktFykpwCvCvd/VrHVWbEcFYiHF63hzv\nq7KS7Ubl6BcxxrN3vfUvdERnRVXjbRs19v0YxFhwlAnRB1wHX9ulq3J7knVxdpqVbVwnCqmiDzsR\nEd+4aMIlRVZk9XCrBW0spkNkFWOyJEHi1o2JGV97W30bc1TZ0b2wwjwYiVKhtq2Mqmw4pZWxqOyc\nRfSr1l4Sr62XSvDY2vZBFI++cuQTEcMnWmPF2ratmJ1tbK2tfqysMCHkY8Gst+1k+IjzV/N2TSpL\n0vNFO9aq6m7D0vC9nt5bCvYOn1OsixoffI6r9T6p6OwLzCVOmQg0x9N59sn6mKPA/h6fi/e6/eFj\nkl6Z5wYVtZWtox87butiPzb2CxLtwzq2t3Z6uKH1MUtR6Tuam2LPXEdMzWi/EM8RdY/7NaMYU96b\nYeGL/Y7F31i7KoIO61ZeAxthhoDnjjS22MCyurxWWHW0QeJvV72erxNjAbbTrBXaz6nCM55dN18W\nZgVtqEh0rjhN4wMmIhtJUFsL7He094CN+vzYsgmYB27DzyUYB7Myr7De5TWD62UWKDNE6bVB7APS\nPlXd93ju0HNrmcauZ+izpOcUxloxrEDPrrhi6tbHBdKLbIfe2sBjniv73vQem6goVrOHYCYCgUAg\nEAgEAoHAq/BGmIlZE83o2V0CKlePfxl6+1fPRvDnqnOLX6++8Ij6tdyz5lSF3aoottW/djn/fdux\nu8wRNBEdhFWaWYmsqMIrvX4pG848jj1mQhQ/Q9Cbx26ZrD/3nWvk4/HLnCNbmRVI59lSRCBbw6Vo\nxV5cR8/aUjFRK8FWqOPQPkcyPIPGfb1I+ohahzC+XyL7bd6yXMPz1l7O3yMq6qrW8Eujv14jw8er\nYmzqPEr3g3YVy4H2sb6VBuLsinONj98HiPhwNBGRTFixyrGbt/eb1wvwOQeyZ0TtwsW2Hevb1NbH\nVFyKbR2ltbLTuvAYyoKObr+rdUXje1PtjUtkr432AY9307RrUy2P/XuKjVN7OiLPfBW++GHF3u3b\n6/X3xp6izD5/nF/rIUdYRVE2Zqm8HoIZCrynWIsvEyPxNdnSPv84RpfvKbdfra0evHVxb385xRB7\nPQHfu7nP65YJxNjxez9+WDft5zY2YDn6UV4fNd5RQcHCihSVS2l3/Jc1B7nPaQwQxWfwPYPP5ucc\nXYfSa6AgIvpTWdYKDQ2eU+vM0pQ1tnL6C7Oynn/40wczK+NrVq4Xx6go/mLZ7pPAYd6/P3pFd7G3\nXRJL46H0kUqrUxdXrVEXP62fqYqN2MvvBmkfo7Y8a8JrGN8v2A72pRrgYCYCgUAgEAgEAoHAqxA/\nJgKBQCAQCAQCgcCr8EbSnEaqSVGfSjCT00cmUManjp8q9muquHYqMPNrqvJ0j3r3fTYrY1ClrBzq\nlCS+NlCkCxIirVY19awoXy8+NutTaVnoSVRlr9pjFu3Rb2Rcm68MW52H2npcj5SwmsuckiXE38/r\n8V9OOQCqtI4s1K7t+MzK9T7Sa9529JSQtCfgh0Xd+oHSwC5q21EWXUEcB/vYiq5dnlX9YmBOWbSn\n6FmkgeS0KGHTynS8qtAM/Phh05zHVxtXdDBT4pfXtbUwr00vnOOxz1VZV2WNobp1sQcufUZ604df\nl36gPWW3qNJSSrrFLvWhnBtWlQvKmrn/VESMx47PbXM6C4R5L6W8O3sPv4c1dk20vxeEKvG3Sh1Q\nx/fS6/ycKqiUjyXtRz5tqUpzVFXDcxrO8XOq/mewuPTQ7jXepIDP03vGADz3+HuR/pU2sHT8u5TW\n9MvzcS5XtGSeXBqPmbY1BtRzB3v5Ku0r83Wb0qhE+zq9s37mVWJ0keaYrWTT+PL9pPb8nJ7y3IrL\nS5pwm56K9CVO1yz7KVnDHmqjA1XxW6ZTY5+n9vE3bKkvRBpPbWF6Xp2H53SFlCeulu5TyoRxBgPP\nKYwxV5DOJhn5Odp+nr+XQIz+kNrcivUnv6so44n0nYhTgVAZHedURjU9u1hV3VvtG4Ayi8GaUd9Z\nfCq+WfmuxulaKg18avphPv5FRwcCgUAgEAgEAoFAwpthJhZHok8cWeoVTuq2j2iTeE2eUxXd6RQn\nm8JMqIi1sr3t9avqj+sj/8KFjaOyNe0JF0sD5U/16x3RClVUTsFHB7vnpnMpG0v8yufr8OdnERf+\nLqLaErVQgs0ScWsjAcp+2I+nEqWqCFRhm1qxO/cHEYmnx/H/S9HXQXxORVibyOeqjbow1PV69Ar+\nsWUghJ2n7gPfLtvdZkFrYqc4gsYCQd8XRPJ0JLPdd1RBLswNon6Vpd9zy9wgyop/mV1A0bm7T+34\noF8370r73hpWRb96YEbGDIXajke6eOwgwOR5xhjM37diaLXPZKtTwVqqNZCZJCHmBtODtpTlbg/7\nfbn/VXFF36/evc5QkXpUBlPsCbC6aI0zgNr6NO17l23ROgWwFihGZ2b2y9Vo7wkb2Pt1WX/KdACv\nKWZCRY0vRRQbwD6G/VjZhD89ttF+FS3Hvc7zDSYQYmAwoWZ1pLrtv9jTDSxN+RwY1fP1omkTzAeP\nnbeGnYvvMdmcRZiCsCjb3w983b5YH78PVl0J1Werdk579t2fvi8i68f72kJWMfvFQrusCVwn719r\nV+jwzsq8KQba29Kre4v3krv0DFqK9abucbzm7XX5OMXeoR9rsYZ7z1FlkAJTFt7b7j6Pf/M9puap\nh2AmAoFAIBAIBAKBwKsQPyYCgUAgEAgEAoHAq/Am0pwARTer1CYlyAFUVWkleu3VjZBtdUTTqj8+\nhUb5JzM92E27Eikr/pwqNatXL4LTonydjCpFYdUuwSl9VegJhvh6CvXZiqC3ijLE3xDCUrveH5w/\np4R2flyrirlinnvifiUIz+sIx8xbilWdH1VSD4t2TtW1lbTBcm2LTOu2wlaVbgKatVf5m8cO8wbB\nIFO+6GO1dlJWAFK3uD/oP1/T9nlsb5PTL8q6WD+OdPQXX11U/5rpVAakTaDPTF2j2iv82vmzXljN\n1/m84aq4tcB7T37iOBd7+uM10Os8TvfbsX0IbXlcVSVlj0qMnu5n9kpHr7042Ix87MmrHte2XaY0\nIToXRMBf0V61dyLXSrQvBNuYmyzcppoyeB6UejkkbF21KSV5btJ8sXhyplIs53WqhNovqn3Vef+f\nMgXp+ehnn//UBo+5AsZ6I9KdbtJ1/IRqSSC9KQtoaf2p1zZpTa6EEB7jw6kYfjx5Hp7Xbf2HfB3P\ndcqRGdUHEmOu0q4+ff9kZiW9iVMslYGE3zt5Hzuz9px7l7LCQBtcbwHrCOt0JVLApgpo8dzBs4/T\nqXx9HX4fY6HGvKp7sarTp7j9Tz8gbaxcG+7Bd99cNtfhU6V4DaA/3BbWPMaVBdhIH9sJ8fEe96ky\nKeB1ivOkuiBVOn2ry7fVAhXF2/RO9JEF/fgbaXDVd8YkCJ8d2jR7lRaZ11Zqnvf5p3SeFZkURJpT\nIBAIBAKBQCAQ+L3gbTATs1k3og0MOUorIkqHNqruPzfVSlZFoHN09jAt8o5fqPglvBDaQFWReyUs\nUnWF49T++fHfmxwRR1Rj/3xo3hsQGU6/XZ9JfKys/M4Mgso24rufYK3Ys/s1Y7vV01HX8bg0N6mN\nzaaNZCC6qdZOxUysHTPRYcHM+lH73rypc2P8WQDvmbOpNpmwqKz6lZmn49Wlp0KJ+yDMyyJZwYzV\n7EMdWeH3tmm+niqWrD6eIzeITOaoLkUCtZh2jMAiWqZsIKWoUVhJIjrFc4txUQYGvkqsuqYv3jdv\nSSA6JY0VOuLm+nr31fFK7AqLRTOzITESP+wSAyUi42xh+heXdaV2FmWeJ/KnqpZ+XkeGuf+wqEXU\nXtlS17addeSZo+fLzt6ZrY8X3L64pyCy7jCTas9BpHtjpa/Y+9XnsI4+0t78Kf29Vpaw6X7+ivr/\ntK7XOt+7PkJsRkYeq1oAPPbneFQU46SsnrGPsdWlEqhe3o7tI6LP9zPOzRFr9B8MC0e/e899dd09\n5h3t99pS56z2vY49uzo3ntkQ5u627ZcJPh/6gTFQZgg371bltVUtKv/w66f8HhgebuPaib55LXgm\nqRL0P6BfhTXyfWQRPj6rTTva72OKxQLUGpP7YxoLWLLze2qPxT6EueTvb2Ar9uJ+K6xLaRPf0XDf\n1Qz0ePxjMBOBQCAQCAQCgUDg9423wUwMg+33Q8VOIFK6p0hM86u9U3TIrPzSU9aw3e5AVyDe89Zk\nVXc6v3pVxEEVapNMgIhG96xhFbOiGInmGHFtKu/fR/uqfuViemr0WsiCSC5HlPPNlV0cxgKMypTx\n4jZU3uLUYoa+X6fyYButC0VHVaQE0XvcGxuKbgw50psih4s2UqHGQumQoEfgnHJv88lRo60octcr\nTFVs+9oIndKu4FzKBlVF+zM7sGh1BT1gLXPhJUSU6kJWm+ralFakut7HOprLc+qjqGYtc8OsxcX1\n+BosYr+6LfvGF4dV1S9u3+fzm+koM+BtEce/x/aXdM7vEiNxj/uNi+ilKDmzFR9Tdb5i6Sn2Peqj\nz2NXlr5gitiiU9k/+3xxZiMUG9e3AE/23XNRpM/aNTwFipH3VqBmZZ+431Ck1zFCPA/v0l4w27bs\noM/zNtMaCKCwQH1bSrSLMWetS97LxbNDWYxiXHJxv6qwWLtH+6KefP/4wqIMpSfoFjNL7KvUcop7\nMLdJ6w6fXaYxXK7LWG7BEnaY4qWITvO14dqhf+G+LlfjPsasK/QTas0r61mvaVJ7IfpQj8n42sMd\na3XSeKb+836P/nD7vgCcYssq+3fHSvO1nTnmzayM41Pq42XFiLX2/b5YImdF4LUnPB8qpj6xTWx7\nm/4uz+AyTurc14eyT09BMBOBQCAQCAQCgUDgVYgfE4FAIBAIBAKBQOBV+J2mOc1ms1+Z2Z2NGT2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fA8p1+J50kRmZfz5HSwyminXlNKXM7opTmh7sPVTZl7XDv230saC5iZ8J6b05vEtUFYv8jp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\ngCCqL1KGAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb7c3d197f0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "_lons = lons.to(u.deg).value\n",
    "_lats = lats.to(u.deg).value\n",
    "_heightmap = heightmap.to(u.m).value\n",
    "\n",
    "vmin, vmax = -20, 870\n",
    "terrain_cmap, terrain_norm = pathprof.terrain_cmap_factory(sealevel=0.5, vmax=vmax)\n",
    "\n",
    "plt.close()\n",
    "\n",
    "fig = plt.figure(figsize=(10, 10))\n",
    "ax = fig.add_axes((0., 0., 1.0, 1.0))\n",
    "cbax = fig.add_axes((0., 0., 1.0, .02))\n",
    "cim = ax.imshow(\n",
    "    _heightmap,\n",
    "    origin='lower', interpolation='nearest',\n",
    "    cmap=terrain_cmap, norm=terrain_norm,\n",
    "    vmin=vmin, vmax=vmax,\n",
    "    extent=(_lons[0], _lons[-1], _lats[0], _lats[-1]),\n",
    "    )\n",
    "cbar = fig.colorbar(\n",
    "    cim, cax=cbax, orientation='horizontal'\n",
    "    )\n",
    "ax.set_aspect(abs(_lons[-1] - _lons[0]) / abs(_lats[-1] - _lats[0]))\n",
    "cbar.set_label(r'Height (amsl)', color='k')\n",
    "cbax.xaxis.set_label_position('top')\n",
    "for t in cbax.xaxis.get_major_ticks():\n",
    "    t.tick1On = True\n",
    "    t.tick2On = True\n",
    "    t.label1On = False\n",
    "    t.label2On = True\n",
    "ctics = np.arange(0, 1150, 200)\n",
    "cbar.set_ticks(ctics)\n",
    "cbar.ax.set_xticklabels(map('{:.0f} m'.format, ctics), color='k')\n",
    "ax.set_xlabel('Longitude [deg]')\n",
    "ax.set_ylabel('Latitude [deg]')\n",
    "ax.xaxis.tick_top()\n",
    "ax.xaxis.set_label_position('top')\n",
    "\n",
    "ax.annotate(\n",
    "    'RT', xy=(lon_rt.value, lat_rt.value), xytext=(-40, 30), \n",
    "    textcoords='offset points', color='k',\n",
    "    arrowprops=dict(arrowstyle=\"->\", color='k')\n",
    "    )\n",
    "ax.annotate(\n",
    "    'FL Tx', xy=(lon_fl_tx.value, lat_fl_tx.value), xytext=(30, -30), \n",
    "    textcoords='offset points', color='k',\n",
    "    arrowprops=dict(arrowstyle=\"->\", color='k')\n",
    "    )\n",
    "ax.annotate(\n",
    "    'FL Rx', xy=(lon_fl_rx.value, lat_fl_rx.value), xytext=(30, 30), \n",
    "    textcoords='offset points', color='k',\n",
    "    arrowprops=dict(arrowstyle=\"->\", color='k')\n",
    "    )\n",
    "ax.annotate(\n",
    "    'WT', xy=(lon_wt.value, lat_wt.value), xytext=(30, 10), \n",
    "    textcoords='offset points', color='k',\n",
    "    arrowprops=dict(arrowstyle=\"->\", color='k')\n",
    "    )\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Step 1+2: Power flux density and reflected power at wind turbine"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "total emitted power, in RAS band: -53.0 dB(mW) = -83.0 dB(W)\n"
     ]
    }
   ],
   "source": [
    "# FL transmitter; \n",
    "freq_fl = 10 * u.GHz\n",
    "bandwidth_fl = 200 * u.MHz\n",
    "tx_power = 10 * u.mW  # (over the used bandwidth)\n",
    "suppression = -60 * cnv.dBc\n",
    "\n",
    "# infer spectral power levels\n",
    "tx_spectral_power = tx_power / bandwidth_fl\n",
    "tx_oob_spectral_power = tx_spectral_power.to(cnv.dBm_MHz) + suppression\n",
    "\n",
    "# RAS receiver\n",
    "freq_ras = 10.65 * u.GHz\n",
    "bandwidth_ras = 100 * u.MHz\n",
    "\n",
    "# Calculate total power leaking into RAS band:\n",
    "tx_power_ras_band = tx_oob_spectral_power.to(u.W / u.MHz) * bandwidth_ras\n",
    "print('total emitted power, in RAS band: {:.1f} = {:.1f}'.format(\n",
    "    tx_power_ras_band.to(cnv.dBm), tx_power_ras_band.to(cnv.dB_W),\n",
    "    ))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# Create PathProp objects\n",
    "temperature = 290. * u.K\n",
    "pressure = 1013. * u.hPa\n",
    "time_percent = 2 * u.percent\n",
    "\n",
    "# for the FL terminals, we assume a height of 30-m;\n",
    "# the RAS antenna has 50-m (elevation axis)\n",
    "h_fl_tx, h_fl_rx, h_rt = 30 * u.m, 30 * u.m, 50 * u.m\n",
    "\n",
    "# we assume, clutter plays no role; set to UNKNOWN\n",
    "zone_t, zone_r = pathprof.CLUTTER.UNKNOWN, pathprof.CLUTTER.UNKNOWN"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For the gain, we'll have to account for the FL Tx antenna pattern, which means we need to calculate the angular distance of the FL Tx <--> WT path from the FL Tx boresight (given by FL Tx <--> FL Rx)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "pprop_fl = pathprof.PathProp(\n",
    "    freq_fl,  # should be doing this for RAS freq; difference is neglible\n",
    "    temperature, pressure,\n",
    "    lon_fl_tx, lat_fl_tx,\n",
    "    lon_fl_rx, lat_fl_rx,\n",
    "    h_fl_tx, h_fl_rx,\n",
    "    hprof_step,\n",
    "    time_percent,\n",
    "    zone_t=zone_t, zone_r=zone_r,\n",
    "    )"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For the FL antenna pattern, we have to assume a certain antenna size:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "FL max. gain: 44.2 dB\n"
     ]
    }
   ],
   "source": [
    "diameter_fl = 2 * u.m\n",
    "wavelen_fl = freq_fl.to(u.m, equivalencies=u.spectral())\n",
    "\n",
    "G_max_fl = antenna.fl_G_max_from_size(diameter_fl, wavelen_fl)\n",
    "print('FL max. gain: {:.1f}'.format(G_max_fl))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "result_dtype = np.dtype([\n",
    "    ('height', 'f8'), ('atten', 'f8'), ('cross_section', 'f8'),\n",
    "    ('ang_dist', 'f8'), ('gain', 'f8'),\n",
    "    ('power_flux', 'f8'), ('refl_power', 'f8'), ('power_rt', 'f8')\n",
    "    ])\n",
    "result = np.zeros(len(hmids) - 1, dtype=result_dtype)\n",
    "\n",
    "G_r = 0 * cnv.dBi\n",
    "directivity = 0 * cnv.dBi\n",
    "\n",
    "for idx in range(result.size):\n",
    "    \n",
    "    h_wt = hmids[idx + 1] * u.m\n",
    "    cs_wt = cross_section[idx + 1] * u.m ** 2\n",
    "    # could be made faster by querying height profile only once!\n",
    "    pprop_fl_wt = pathprof.PathProp(\n",
    "        freq_fl,\n",
    "        temperature, pressure,\n",
    "        lon_fl_tx, lat_fl_tx,\n",
    "        lon_wt, lat_wt,\n",
    "        h_fl_tx, h_wt,\n",
    "        hprof_step,\n",
    "        time_percent,\n",
    "        zone_t=zone_t, zone_r=zone_r,\n",
    "        )\n",
    "    ang_dist = geometry.true_angular_distance(\n",
    "        pprop_fl.alpha_tr, pprop_fl.eps_pt,\n",
    "        pprop_fl_wt.alpha_tr, pprop_fl_wt.eps_pt,\n",
    "        )\n",
    "    \n",
    "    G_t = antenna.fl_pattern(\n",
    "        ang_dist, diameter_fl, wavelen_fl, G_max_fl\n",
    "        )\n",
    "\n",
    "    (\n",
    "        L_bfsg, L_bd, L_bs, L_ba, L_b, L_b_corr, L\n",
    "        ) = pathprof.loss_complete(pprop_fl_wt, G_t, G_r)\n",
    "\n",
    "    S_wt = cnv.powerflux_from_ptx(\n",
    "        tx_power_ras_band, pprop_fl_wt.distance,\n",
    "        -L\n",
    "        )\n",
    "    P_wt = S_wt * cs_wt\n",
    "    \n",
    "    result[idx] = (\n",
    "        h_wt.to_value(u.m), L.to_value(cnv.dB), cs_wt.to_value(u.m ** 2),\n",
    "        ang_dist.to_value(u.deg), G_t.to_value(cnv.dBi),\n",
    "        S_wt.to_value(cnv.dB_W_m2), P_wt.to_value(cnv.dB_W), 0.\n",
    "        )\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Distance FL Tx <--> WT: 0.225 km\n"
     ]
    }
   ],
   "source": [
    "print('Distance FL Tx <--> WT: {:.3f}'.format(pprop_fl_wt.distance))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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LHzp7hB5dtE27jlT5HSeZpFS/3RB2unfeeo0ZmK8bpo/0Ow6AFBTtHRpjzjnn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\nIiIiMVjZOPlXgucnUHEtIhKDV1btoGtuJmPLugcdioiIxGDFtgNE7Oj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MGgBRZ7eiTcbr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\nRMW1iIiIiEic/H8sDu2TeQ4QTgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb7c3d81278>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(2, 2, figsize=(12, 10))\n",
    "axes[0, 0].plot(result['gain'], result['height'])\n",
    "axes[0, 1].plot(result['atten'], result['height'])\n",
    "axes[1, 0].plot(result['power_flux'], result['height'])\n",
    "axes[1, 1].plot(result['refl_power'], result['height'])\n",
    "axes[0, 0].set_xlabel('Gain [dBi]')\n",
    "axes[0, 1].set_xlabel('Path loss [dB]')\n",
    "axes[1, 0].set_xlabel('Power flux density [dB(W/m^2)]')\n",
    "axes[1, 1].set_xlabel('Reflected power [dB(W)]')\n",
    "for ax in axes.flatten():\n",
    "    ax.set_ylabel('h [m]')\n",
    "    ax.set_ylim((0, result['height'][-1]))\n",
    "    ax.grid()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In our example, the WT is so close, that the antenna pattern of the FL transmitter already plays a huge role!"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Step 3: Aggregated power at RT\n",
    "Finally, one just needs to calculate the path propagation loss to the RT and sum-up the power from each height bin."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "G_t = 0 * cnv.dBi\n",
    "G_r = 0 * cnv.dBi\n",
    "\n",
    "for idx in range(len(result)):\n",
    "    \n",
    "    h_wt = result['height'][idx] * u.m\n",
    "    P_wt = result['refl_power'][idx]\n",
    "    pprop_wt_rt = pathprof.PathProp(\n",
    "        freq_ras,\n",
    "        temperature, pressure,\n",
    "        lon_wt, lat_wt,\n",
    "        lon_rt, lat_rt,\n",
    "        h_wt, h_rt,\n",
    "        hprof_step,\n",
    "        time_percent,\n",
    "        zone_t=zone_t, zone_r=zone_r,\n",
    "        )\n",
    "\n",
    "    (\n",
    "        L_bfsg, L_bd, L_bs, L_ba, L_b, L_b_corr, L\n",
    "        ) = pathprof.loss_complete(pprop_wt_rt, G_t, G_r)\n",
    "\n",
    "    result['power_rt'][idx] = P_wt - L.to_value(cnv.dB)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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MACBw6qmnKicnRy+88ILvKIA3FAMACDRr1kw/+clPNGnSJC1btsx3HMALigEA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\n6quvcuXKFYqLi9mwYQMPPPAAd911F3l5eenupoi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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fb7c3ddb710>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.close()\n",
    "fig = plt.figure(figsize=(8, 12))\n",
    "ax = fig.add_axes((0.1, 0.1, 0.8, 0.8))\n",
    "ax.plot(result['power_rt'], result['height'], 'k-')\n",
    "ax.set_xlabel('P [dB(W)]')\n",
    "ax.set_ylabel('h [m]')\n",
    "ax.grid()\n",
    "ax.set_title('Power received at RT (from different height bins)')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Total received power: -338.7 dB(W)\n"
     ]
    }
   ],
   "source": [
    "P_rt_tot = np.sum(\n",
    "    (result['power_rt'] * cnv.dB_W).to_value(u.W)\n",
    "    ) * u.W\n",
    "print('Total received power: {:.1f}'.format(P_rt_tot.to(cnv.dB_W)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Comparison with directly received power from FL Tx"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "One can compare this with the power received from the FL Tx on the direct path, -214 dB(W), derived in the [Fixed Link Notebook](https://github.com/bwinkel/pycraf/blob/master/notebooks/A01_case_study_fixed_link.ipynb). Even over the very short distance between FL Tx and WT, there is already a huge propagation loss of about 100 dB! This impressively shows the huge impact of the $d^{-4}$ dependence in the RADAR equation."
   ]
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}