{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Dynamical Xray Scattering\n",
    "\n",
    "In this example static and transient X-ray simulations are carried out employing the dynamical X-ray scattering formalism."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Setup\n",
    "\n",
    "Do all necessary imports and settings."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import udkm1Dsim as ud\n",
    "u = ud.u #  import the pint unit registry from udkm1Dsim\n",
    "import scipy.constants as constants\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "u.setup_matplotlib() #  use matplotlib with pint units"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Structure\n",
    "\n",
    "Refere to the [structure-example](structure.ipynb) for more details."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "O = ud.Atom('O')\n",
    "Ti = ud.Atom('Ti')\n",
    "Sr = ud.Atom('Sr')\n",
    "Ru = ud.Atom('Ru')\n",
    "Pb = ud.Atom('Pb')\n",
    "Zr = ud.Atom('Zr')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# c-axis lattice constants of the two layers\n",
    "c_STO_sub = 3.905*u.angstrom\n",
    "c_SRO = 3.94897*u.angstrom\n",
    "# sound velocities [nm/ps] of the two layers\n",
    "sv_SRO = 6.312*u.nm/u.ps\n",
    "sv_STO = 7.800*u.nm/u.ps\n",
    "\n",
    "# SRO layer\n",
    "prop_SRO = {}\n",
    "prop_SRO['a_axis'] = c_STO_sub # aAxis\n",
    "prop_SRO['b_axis'] = c_STO_sub # bAxis\n",
    "prop_SRO['deb_Wal_Fac'] = 0 # Debye-Waller factor\n",
    "prop_SRO['sound_vel'] = sv_SRO # sound velocity\n",
    "prop_SRO['opt_ref_index'] = 2.44+4.32j\n",
    "prop_SRO['therm_cond'] = 5.72*u.W/(u.m *u.K) # heat conductivity\n",
    "prop_SRO['lin_therm_exp'] = 1.03e-5 # linear thermal expansion\n",
    "prop_SRO['heat_capacity'] = 'lambda T: 455.2 + 0.112*T - 2.1935e6/T**2' # heat capacity [J/kg K]\n",
    "\n",
    "SRO = ud.UnitCell('SRO', 'Strontium Ruthenate', c_SRO, **prop_SRO)\n",
    "SRO.add_atom(O, 0)\n",
    "SRO.add_atom(Sr, 0)\n",
    "SRO.add_atom(O, 0.5)\n",
    "SRO.add_atom(O, 0.5)\n",
    "SRO.add_atom(Ru, 0.5)\n",
    "\n",
    "# STO substrate\n",
    "prop_STO_sub = {}\n",
    "prop_STO_sub['a_axis'] = c_STO_sub # aAxis\n",
    "prop_STO_sub['b_axis'] = c_STO_sub # bAxis\n",
    "prop_STO_sub['deb_Wal_Fac'] = 0 # Debye-Waller factor\n",
    "prop_STO_sub['sound_vel'] = sv_STO # sound velocity\n",
    "prop_STO_sub['opt_ref_index'] = 2.1+0j\n",
    "prop_STO_sub['therm_cond'] = 12*u.W/(u.m *u.K) # heat conductivity\n",
    "prop_STO_sub['lin_therm_exp'] = 1e-5 # linear thermal expansion\n",
    "prop_STO_sub['heat_capacity'] = 'lambda T: 733.73 + 0.0248*T - 6.531e6/T**2' # heat capacity [J/kg K]\n",
    "    \n",
    "STO_sub = ud.UnitCell('STOsub', 'Strontium Titanate Substrate', c_STO_sub, **prop_STO_sub)\n",
    "STO_sub.add_atom(O, 0)\n",
    "STO_sub.add_atom(Sr, 0)\n",
    "STO_sub.add_atom(O, 0.5)\n",
    "STO_sub.add_atom(O, 0.5)\n",
    "STO_sub.add_atom(Ti, 0.5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "S = ud.Structure('Single Layer')\n",
    "S.add_sub_structure(SRO, 200) # add 100 layers of SRO to sample\n",
    "S.add_sub_structure(STO_sub, 1000) # add 1000 layers of STO substrate"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Heat\n",
    "\n",
    "Refere to the [heat-example](heat.ipynb) for more details."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "h = ud.Heat(S, True)\n",
    "\n",
    "h.save_data = False\n",
    "h.disp_messages = True\n",
    "\n",
    "h.excitation = {'fluence': [35]*u.mJ/u.cm**2,\n",
    "                'delay_pump':  [0]*u.ps,\n",
    "                'pulse_width':  [0]*u.ps,\n",
    "                'multilayer_absorption': True,\n",
    "                'wavelength': 800*u.nm,\n",
    "                'theta': 45*u.deg}\n",
    "\n",
    "# temporal and spatial grid\n",
    "delays = np.r_[-5:40:0.1]*u.ps\n",
    "_, _, distances = S.get_distances_of_layers()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Elapsed time for _temperature_after_delta_excitation_: 0.036932 s\n",
      "Elapsed time for _temp_map_: 0.095744 s\n"
     ]
    }
   ],
   "source": [
    "temp_map, delta_temp_map = h.get_temp_map(delays, 300*u.K)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x576 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=[6, 8])\n",
    "plt.subplot(2, 1, 1)\n",
    "plt.plot(distances.to('nm').magnitude, temp_map[101, :])\n",
    "plt.xlim([0, distances.to('nm').magnitude[-1]])\n",
    "plt.xlabel('Distance [nm]')\n",
    "plt.ylabel('Temperature [K]')\n",
    "plt.title('Temperature Profile')\n",
    "\n",
    "plt.subplot(2, 1, 2)\n",
    "plt.pcolormesh(distances.to('nm').magnitude, delays.to('ps').magnitude, temp_map)\n",
    "plt.colorbar()\n",
    "plt.xlabel('Distance [nm]')\n",
    "plt.ylabel('Delay [ps]')\n",
    "plt.title('Temperature Map')\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Numerical Phonons\n",
    "\n",
    "Refere to the [phonons-example](phonons.ipynb) for more details."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "p = ud.PhononNum(S, True)\n",
    "p.save_data = False\n",
    "p.disp_messages = True"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Calculating linear thermal expansion ...\n",
      "Calculating coherent dynamics with ODE solver ...\n"
     ]
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "66930841cb054720b6967f9b5baac1d4",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(FloatProgress(value=1.0, bar_style='info', max=1.0), HTML(value='')))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Elapsed time for _strain_map_: 1.435418 s\n"
     ]
    }
   ],
   "source": [
    "strain_map = p.get_strain_map(delays, temp_map, delta_temp_map)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x576 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=[6, 8])\n",
    "plt.subplot(2, 1, 1)\n",
    "plt.plot(distances.to('nm').magnitude, strain_map[130, :],\n",
    "         label=np.round(delays[130]))\n",
    "plt.plot(distances.to('nm').magnitude, strain_map[350, :],\n",
    "         label=np.round(delays[350]))\n",
    "plt.xlim([0, distances.to('nm').magnitude[-1]])\n",
    "plt.xlabel('Distance [nm]')\n",
    "plt.ylabel('Strain')\n",
    "plt.legend()\n",
    "plt.title('Strain Profile')\n",
    "\n",
    "plt.subplot(2, 1, 2)\n",
    "plt.pcolormesh(distances.to('nm').magnitude, delays.to('ps').magnitude,\n",
    "               strain_map, cmap='RdBu',\n",
    "               vmin=-np.max(strain_map), vmax=np.max(strain_map))\n",
    "plt.colorbar()\n",
    "plt.xlabel('Distance [nm]')\n",
    "plt.ylabel('Delay [ps]')\n",
    "plt.title('Strain Map')\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Initialize dynamical X-ray simulation\n",
    "\n",
    "The `XrayDyn` class requires a `Structure` object and a boolean `force_recalc` in order overwrite previous simulation results.\n",
    "\n",
    "These results are saved in the `cache_dir` when `save_data` is enabled.\n",
    "Printing simulation messages can be en-/disabled using `disp_messages` and progress bars can using the boolean switch `progress_bar`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "incoming polarizations set to: sigma\n",
      "analyzer polarizations set to: unpolarized\n"
     ]
    }
   ],
   "source": [
    "dyn = ud.XrayDyn(S, True)\n",
    "dyn.disp_messages = True\n",
    "dyn.save_data = False"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Homogeneous X-ray scattering\n",
    "\n",
    "For the case of homogeneously strained samples, the dynamical X-ray scattering simulations can be greatly simplyfied, which saves a lot of computational time."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### $q_z$-scan\n",
    "\n",
    "The `XrayDyn` object requires an `energy` and scattering vector `qz` to run the simulations.  \n",
    "Both parameters can be arrays and the resulting reflectivity has a first dimension for the photon energy and the a second for the scattering vector."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Calculating _homogenous_reflectivity_ ...\n",
      "Elapsed time for _homogenous_reflectivity_: 0.178521 s\n"
     ]
    }
   ],
   "source": [
    "dyn.energy = np.r_[5000, 8047]*u.eV #  set two photon energies\n",
    "dyn.qz = np.r_[3:3.5:0.001]/u.angstrom #  qz range\n",
    "\n",
    "R_hom, A = dyn.homogeneous_reflectivity() #  this is the actual calculation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure()\n",
    "plt.semilogy(dyn.qz[0, :], R_hom[0, :], label='{}'.format(dyn.energy[0]), alpha=0.5)\n",
    "plt.semilogy(dyn.qz[1, :], R_hom[1, :], label='{}'.format(dyn.energy[1]), alpha=0.5)\n",
    "plt.ylabel('Reflectivity')\n",
    "plt.xlabel('$q_z$ [nm$^{-1}$]')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Post-Processing\n",
    "\n",
    "All result can be convoluted with an arbitrary function handle, which e.g. mimics the instrumental resolution."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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VzkNZFIrDDSUUipiluNJLZwoIpHSNGG+V4CSP1lC2Y98OHKrqLiMJRyg9FmwWhSq6UxxmKKFQxCwVpQUkCQ/BlC4R460SXOyUrXFU7uMy7NVFAJTIJPRQeiyoGIXi8EUJhSJmqSrOA0BPaR8xnpbgJE+2xl2TD8Y+rE0REopimYzDlh6rYhSKwxUlFIqYxVu6CwBXWqRQpCeaFoUuA1BVsPcHDrmeSkhG17RwemyFsigUhylKKBQxS6DMFIqEVh0ixuOdOkVaa/NJ+T64n+pYFFZ6bBCdgCNRxSgUhx1KKBQxi6w0rYXEjE4R40IIqpwhoajce4uisGAnhhSUYcYo7IXYfmeKsigUhx1KKBQxi6gqwCd1klMz6r1W5bKEIn+vj1tTWkApiRhoOHRB0KhVCp8SCsVhiBIKRczirCmkWKQhtPofY68rJB57aVH0fnAqq3I2UyKTAdC1UIvxEH5nsgpmKw47lFAoYpY4bxFlWlrU15xxcVRqyXttUfiCBhmyiN2Yx3VowlzdLkRujRt/9X6unqdQxBhKKBQxS1KgiDI9PepriS4HJSJtr4QiEDRTaTNFPluNdgDomoZhE4qcCp2iwn3IpFIoYhglFIqYJTlQQqWjVdTXElw6haLVXrmeqnxBEvDQRpSxVZpC4ajjeiqTiSQYlfs1b4Ui1lBCoYhNDINUo4RKxx4sCreDQrl3FkWVN8ARwtzeEgozRlGrFOUygRRRA0ZwPyavUMQWSigUsUlNCTpGbXZTHRJcOvlGatii+NtnK7j67QUNHrLaF6CHMOsutkRYFLVCUaYaAyoOQxwHegIKxT4RshQ8exCKRLeDvGAKyCrwVvDpou2NH9IbZKi2nmrpZr00+0fpmojoAlIik8wH1UWQEN2aUSgONZRFoYhNQq05vHH1ayjAtCh2BlIAMMqju59+3VTEqh21lkGVN8Ax2joWG70IhO6hHHqkRVFAKCZSsWu/T0GhiBWUUChik8rdAATiowtFossRTnEtLqi1JvzBWvPg0tfnc/ZLswHwBQwqS3fTR2xnodE3vE3drKcCGUrHVUKhOIxQridFbBJyPfnj20Z9OcGts1umArAzdwtgbldW4ycjyV1v+2OfnM7Aml853SVZKPuEx+tmPeVLy6LI2/9zUChiBCUUipjEqCzALx1ocalRX09w6eTKNgBsXvUr/3TsppQkSqtHkpHkjiiiAyiu8jHMsQ6f1Flq9AyP1816qiSeKukmUVkUisMIJRSKmCRYvovdpBHv1qO+nuByUEU8FQldOa/ik/AnfdXOW6HtMdT466e3DtXWs0p2w0OtxVHXogBBvmxFd2VRKA4jVIxCEZPIygIKZQpxzuhCkegylWFT0LQqqtL6YkhBwm9fAVBa7Y/Y3o2PbLGJhUafiHG9TgsPgF0yHcpym+U8FIpYQAmFImaYsjKPDfkV5pPKAnbLtD0KRULI0piinUyO7ET5OW+wQXYivnA5ACXVvojts8Um3CIQEcgGcNQJZgNsk22hZHNznJJCERMooVDEBFJKbv1oCac9P4vdFV70yp0UyFbEN2JRTA4ex/k8T0LHfiw3epBWsgqkpKzaTx+xjV4iF8OQHK2tA2CR0TviOLou6q2mulW2h6rd4K1o/hNVKA5ClFAoYoJqX21M4cb/fYfuKWGj7LhHoUhwmeNlNX6cuiDJ7WCl7Ea8v4SPfvyVu96cymTXw0xz34c352eO0dbxm9GJUpIjjlO3MhtgqzQzqKbMmseaneXNeZoKxUFJTAiFECJRCLFYCHH2gZ6L4sBQWOkF4FhtDcNLvwEgR3Yk3rUHi8JtWhQ1/iAOXUPXBFu1rgB899NPXOGYTpww4xSOHx/iWG0tvxjZ9Y5TN+sJQhYF8M1Pv3Dmi780w9kpFAc3LSoUQoi3hRAFQohVdcbHCCHWCyFyhBD3N+FQfwMmtMwsFbFAYaWPkdpyxrse5z6n+VHIMToR54z+EU6wCYhTEwDkuTMB6Kfv4BRtKQuN3jzsvxZnwUrcws88x1DOGdgx4jj1s55MgQpIjX7atmY6O4Xi4Kal02PfBV4G3rcGhBA68ApwGpALLBRCfAXowJN19r8OyAbWAHEtPFfFQUxRpZdztHkA/Gr0xRGfQp4nHbcjukXhdphWRNCQOHRTTAJxramoSWOMaw1Zvi087b+ECcGTuFj/mfVGF9oNPhVPQEQcJ5pF4cXFBtmJAUIFtBWHBy0qFFLKWUKIzDrDw4AcKeUmACHEeOA8KeWTQD3XkhDiZCAROBKoEUJMkVIadbdTHNoUVng5TV9OVZ8LuHT5xfRplYwsq8DliG5RCCFIcOlUeAI4dfPin+R2kBPsx+AaU3COHn0Zr071cK7vCQCu1h046kSuHZqGUdekAFbLbpykLUOgPoqKQ58DEaPoBNhbeeaGxqIipXxQSnkn8DHwxp5EQghxoxBikRBi0e7du5t1wooDT3XJLtqIMtxHDMOhCco9ZnzBvQehgFr3kzNkUSS5HSxxDATAj4PW3QdHbO/QNO4b04erjj0iPKZp1HM9AcwODiBDlDNIbKSgwhNVTBSKQ4UDIRQiylij3zIp5btSym8aeP11KeVQKeXQNm3a7NcEFQcfrpINADja9SXOqVNWYwrFniwKqE2RdYQsikS3g+na8SyOO5ZH0p+hd/uUiO0duqB1kpt/nj+ACTcN58LBnXHpGr3aJtU79gzjKHxS52x9PsOemM6rM3Oa5TwVioORAyEUuUAX2/POwM4DMA9FDJFWtdF80KYvcU4tnC67pxgF1BbdWRZFcpyD7f4k/t3qMTa5+xHn1OnRJjG8vUOrvYcZ1i2d5y4ZiBCC/142iA+uHxZ+7Ytbj6OcRKYZQ7hA/wU3PqatafpKegpFrHEghGIh0EsI0U0I4QIuA746APNQHMTsKvNQXFVbPZ1Ws5Vq4iC5Q4Q4NOx6Mi0Kp1breqr0BAgEjbB4TL59BK7QY7tQ2EmOc3JCr1ortWfIwvg4OIp0Ucnp2kICyvWkOIRp6fTYT4B5QB8hRK4Q4nopZQC4HfgeWAtMkFKubsl5KGKPY5+czpDHp4Wfp3nz2KW1AyEiUmIbcj1ZxXh211NJtZ8l20rRtdoAd5f0eMBce6IpWIIy1+jPFqMdl+ozCQSVUCgOXVo66+nyPYxPAaa05HsrYh97VmorXx479PZ0h3B/J03s2QoAwoJipcfarQ8rEwrMDClzuz0fC6B1oouiKl9YZCQaU41hXK9PwRGsbPqJKRQxRpNuoYQQtwshWrX0ZBQKIKJba4XHD1KSEcinyGFWRFtC4XJo4Yt8NCwXlSskAFfaspl0m8BYDxsSHYBpd5/Ij3efiMNmecwysnGJINn+lQBMWLSd3RXeRs9RoYglmup6ao9ZGDchVFXd8DdKodgPymsC4ce/bCgkUFlEvKym2GUJhWUh7DmQbd/OurC3SXaT1clc6MiyMgBEKBFPb0Qo0hNd9GybhH2zxUZvqqWboYGlFFR4uO+zFdzw/qKmnKZCETM0SSiklA8BvYC3gGuBDUKIfwkherTg3BSHKcXVPlz4+Yv+Bd998hKTfzLXtS5xm+U2cY5ai6Ih4urEKKDW5WS3HqzbHqfetPsm+32SDyfzjX4MCy4Nu8q2FFY16TgKRazQ5BiFlFIKIXYBu4AA0Ar4TAgxTUp5X0tNUHH4UVzl5SxtPvc4PwNgxnaznXdxfHegVgAayniyv24XAKceaWVA7YW/MYtiT8w2sjhFX8bOErP3U7Uv0MgeCkVs0dQYxR1CiMXA08AcIEtKeQswBLiwBeenOAxYm1fOoi3F4edFlT4u0GdjOOLx4+CU3e/jxUVlgmlRuEMupSZbFDYBsPaJsChCvxuLUeyJ+UY/APTtcwHwB2W4clyhOBRoaowiA/iDlPJ0KeVEKaUfINROQ7X+VuwXZ7zwCxf9b174eXGlh6O0HKr7X8Yc3Sx020Z73C4nYLcoGotR1H89XDOh13c9OZroeqrLWtmVMpmIOyQUANmP/cBP6wr26XgKxcFGU78Z3aSUW+0DQogPAKSUa5t9VorDkmCoaE2UbiVZ1KB3zOarhAvY4czkRXlp+MLf1BiF5XoK2orhLNeT3R0lmpj1tCckGgtlP+Lz5keMz8kp3KfjKRQHG00Viv72J6FW4UOafzqKw5mdpTUApJSZy5LqHbLYmjCA+9q9xlT/4HAWU23WUyNCERKWoC3d1hnaJzI9dv9iFADzjH64y7fSWdQ2pLSqtWeuLyAQVF1mFbFLg980IcQDQogKIFsIUR76qQAKgMm/ywwVhw3bi6sBSK0wG+w52x9JgkunvCZAwJBhSyI5znRBNXbxtYQkEGFR1C+uE3Ve2xe+Dw7BEE4muR7hTsdnaBj4gga/5Vdw7TsLmbledTRWxC4NCoWU8kkpZTLwjJQyJfSTLKVsLaV84Heao+IQorDSy6odZeHntW4hyRVv/sr9n68gpXorO2QGwpVIvFMP93yyXE/dMsxGfrklNQ2+l7W9vQV41L5OYYti3zva5Mq2/J/vGsplAnc6vuDP+rf4AwbloS639r5VCkWs0ZhF0Tf0cKIQYnDdn99hfopDjHEzN3L5G/PD1ddlNX7SKWeB+zY+dz3KpIUbaVWzla3CXJLU7M9kCYX5ce3Z1hSKgkYqoK2K7GgxCnt6bLgyez8sCoDxwVMY5XuWGcFB/NnxLdJfQ43f7HKrsqAUsUxjt1B3h34/F+Xn2Racl+IQZXeFlwpPgKLQHXZptY9L9Jm0FaUM0TZwof4LrT3bydVMoYh36bUtxUMWwhGtE6MfvA5W7MG+lGm0dh37mx4bieCt4BlkiHL6VsylJjT33RVeJi/bEdGeRKGIFRosuJNS3hj6ffLvMx3FoY51Z729uJqMJDcl1X5O1pfxm6M3fp+XvzknEGdUsc1p9mVKsKW4Wt1gnbrG0ZmtGNWvXYPv5YhiUdQ2AGy+gru6zDP6UySTyaqYTX7gMgBem7UJgPYpcRzTvXWzvI9C8XvR1IK75aHAtmrZoWgyvoBBbkl1xJi1Mt32UHyhvNrLkWIrrXoew7qM0aRiVmGvcWUDtcuZgtkS3GLizcdx84kNfxwtiyIQIRTmb0eUpoD6frQw++W+2nspA40fg0PIqpqPz+OJ2K6k2sfircVk3v9tOHivUBzsNDV6dy4QBCYIIRYKIcYKIbq24LwUhwD/mrKWEf/+idLq2kCuFdx99accJi/bAaXbSBY1BNsOYHPHswDzQpvvMj9e8a5acUh0711XfCsOYbcotChiYDUF3B+nULwrsrjvB2MICbKK1PzI2gpvwOCTBeaS8XM3qjoLRWzQ1KaAW6WUT0sphwBXANnA5hadmSLmsQrOthfXZieV1QQ4WVtKesE8/jp+GQnFawAItstCpHRkmHccY9u/GY5HJLprL8D2x03Bcj3ZxcGyHuxxCytIsT/hg4Q6QjHbyKKGODrumoEbH6mY61X4gzL83qoJsyJWaHI+oBAiUwhxHzAe6AuoRoCKBmmV6AJgW8jFIqUktWY777ie4WPXvxiurSapZA1BKRDt+pEc56BAprLW2zbcniPBZlEk7aVFcXRmOtcel8m/L8oOj1miYdcESzzkftgUcXXaiXhxscBxFP13TmSh+1Zmu//KIJGDNxAMC1J+mYeJi7bv83sqFL8XTY1R/Ap8AejAxVLKYVLK51p0ZoqYIr/cw98+WxHO8gFITzCFYmux2XbbGzC4UMwIv36T/g0pZevYJDviikskJVRIt7vCG06FTYt3hrffW9eTrgkeO7c/ndLiawejWBRh19N+WBRalED4+MDJSAQGAg2DfznfoqLGF3aFfb4kl3s/W0GVN0BptY9vV+Tt+wQUihakqd+8a6SU61p0JoqY5uUZOXy6aDsDu6RxxTFmfMG6GK/eWU5eWQ2aEAzRfmOJ0ZM5xgBu0ycjCzW+kcdwikMLV1wXVnrDFoVllcDeWxTRCFsUds/TfrienvxDFhlJ7qivTfUM4IkB45m0qpiR2gqed41j1a45GNK0cIoqzdhNWY2fez9bzpycIoYcMYr2qXF7PxGFogVprODuytDDM4UQd9f9+R3mp4gRUkN3/nlltfGICk8ADYOpK3Yw/MkZlFd5GCA2s1bryZxFnLgAACAASURBVNfB4WhCossgPwezcTt0UuJrhcBqJd7aJhSN9XZqCtZ9v72e4exss2YjMyNhr493St+2nHbkntN0F5YlU0Qq3xrHUiKT6Lvr67CDq8JrrltRVuNn/S4rhqF6QikOPhr75lmVTclRfpJacF6KgxhfwOC5H9ZHVBtbbqFdZbXpoFUeH5Ncj7DQfQt9xTYCBetIFF76Dj6J9r0GMyU4jCAa3xnDcOoibFFArSjYLYrmCP7WFuHVjl0+rAvr/jmGzq32Xigaq73YWGAKgA8nU4PD6F0+BxGIrCgvq/HjDVVwz9qwm7dnqzwRxcFFYwV3r4Ue/iilnGN/TQhxfIvNSnFQ89P6Al6akUN+uYenLxoI1K7qttNmUfStWsBAzSw0u8cxAd82827Z6DCIm/t358rf7uC4NhrBAg0hBClxNosi5HqyjzUH0bKehBBR165oCo3VXlR6a1e7+8EYwhXGDPqUz+ZYxzycBHkscDWl1X48AVMoHpy0CoDrRnRj0+5KVu8s55yBHfdpbgpFc9HUb+FLQN3eTtHGFIcBVoX0itza5n7WBXFjQRVLtpUwuGsrhvgWUinj+CB4Gjfp37BlSzIVMh4jvSfpiS4MNDZUunE5zIuk3aKwgtnNnUIqosQo9ge9gf5QnVvFRzQunGsMoEyk8JfCx8PfPAmU1wzDH4ycUNCQnPLczwBKKBQHnMZiFMOFEPcAberEJx7DzIBSHOIEgga3f7wkouOrJ+Qm2bS7KjxW5Q3QX2xmeOU0Lnl1FtW+AAOMdSwzejA+eDKakHQv+pmVRjdcTgdp8aZLqaCiNnCdHMWiaG5qA9fNoxQN9Ye689TeEc99OPnCcSYALwQu4LXAWVzmmAmFv9Xb1ypMBFiRWxqxVKxC8XvTWIzChRmLcBAZnygHLmrZqSkOBnaVe/hmRR7nvjw7PGZ1RPXZAq81Hi+vu/7D865x3OOYyPptefRhG6u0vmyV7fnVMBsRfxQ8NSJwLWVtPCLOqYd9/vbAdf+OKQw9olWznM+InhkAHB/6vb/YYxR1ReOCo8w1vu3ZWs/5LmCU+xOeD1zMG4Gz8UoHPbeOr3fcUptQnPvynIilYhWK35vGYhQ/Az8LId6tuxSq4tCkrMZPstsRrgvwBkJxBWnehQshImolLHqUzqWTKMIrnVyrf8+cFSfhEAYbnP3ACzf77uTC1HVM8QzlLodGfEgUgoaMEAWrxiA1odYN9e0dJzTb+Q3NTCfniTP2eX3sutjblS988FS8AYOr3vqVQV3S0DXBun+OYf2uCs57xQzxVXqD+IIaICkklR+NwYws/JE4zuAa/QcKZSqfGydEtD2xc99ny8kr8/DB9cc0y/wViqbQ1BjFm0KIi6WUpQBCiFbAeCnl6S03NcWBYODff2BYZjoTbh4OECEK1b4giW4H1b4gHSjiKG0D172ZwgtXHkvvqsVUSzeX+R7iK/fDDFv9BADZx56Gs1Rj/MLtfFIzHEkQt6M2eF1S7Y+69nWXfchAairNJRJQGxyH2gytaXefGB6Lc+q0SnBF7OML1Fpi3waP5azAAqa57qOLZq6Cl+qvIr98aNT3m7AoF4Dnp/1Gl/QELhrSuVnOQ6FoiKZ+YzIskQCQUpYAbVtmSooDhbUS3IItxRRUmGmulpsJCK8LUeMP8h/nOF51vcjZW59iwqJc+npXsNjoxQrZg6VGT1KCxaw3OpOYlsFTF2bTJT2eKmtdiZAwpIRqL6LVR3RuFV9v7GCkKcF2K/bSNrl+Yd40YyilIpUu2m7eD5zGtOAQ7nOMJ3f7lnrb2kX7hekbGDtx+b5PXKHYC5oqFIa9W6wQ4gj2r9mm4iDgg3lbuO2jJZSEFhHy2u50raU7q20XJ+tClViynuG62czvD/psilb/RKaxlWV6fwD+7r+aLaITD/hvCFsLye5aV1J4LHQBjRa43peahoOVpNB5drKJX5uQaPhxcJ9+Lw/7r+Wfgat4InAFTgJ02/wxAClU4cDMKFu8tSTq8b9dkccvG3azaEsxuxtZ9U+h2Bea6np6EJgthPg59HwkcGPLTEnREkgp+X71Lkb0ahMOrj48eTUAFw/tzEl92ka3HnxBjhbruMnxNT9N2cXQURfRucj0t4/2/puvXQ9xQ/4/0JBsSToKPLBM9mRM4Dk80uCmsPVQ+1GzhMLq7WRVYdup27Y7lnHqGr3bJTG8e2uWbjMN8wEdU/hpvelq+qGyO9AdgC2yA7ONLAYWfceVusZjjvfYKttxle8B1uaV1zt2cZWP2z5eEn5+ROsEfr5XrTOmaF6a2mb8O8yaiU+BCcAQKeX3LTkxxf6xo7QmnMYKMHFRLjd/uIQP59fPSbC2s29fExYKPw86P+RUfSnn5jzCta/8wBFlC1hvdOY32YWJwZGkG+ad7s7EfrZjmtaJu44oALj0yDGXLWbw5W3HM+6PB395zjd/GcHj5w9o8vY/3HUid59Wmy7bu13yHredGDyRjGA+jzvfYZtsS1tRyquu/5JfVn+hox/X5gO12VdbiyK32VJYpdqCKPabpnaPFcAYYLCU8msgQQgxrEVnpmgyvoARji+AWdNw/FMzeOyr1eGx8Qu3AdHz/mtsQhGHlwu1Wfy6ZCkPfbkSZ8lGBmmb+CRwMq1EJVeLbziiajlzDPMi+d/ARfzCUdzov5vu7c0lPu0xB1edeISuiXAwOex6slkUg7qkcUZWh/38i7Q8AzqlcuWxR+zVPvYgeq8GhOJb4xiWi378ZnTict9DPOa/hkHaJtrlzUBg0EPswI3pGqz0mG4p+/91yso8znrxFxZvLeakZ2fy5BTVz1OxfzQ1RvEqMBy4PPS8AnilRWak2Gt6PzSVmz9cHH6+MFSctdxWOW0tB2qPQ1hUeoNsLaqixh/kFsdXPOf6H1euvoEv568jZddcAF4NnsuM4CD+4vgSl/QxR2YBUEgqV3nu5YfgUDqkxrHlqbO49rjM8LFrW3HUD1xb4uFsxiykWOGEXhncdWpvrh5eX2wkGn8MPMzpvn+TTzqTjBHskK0ZVjiJF5yvMN19L1NcD9BF5IdjSfb/69yNhazeWc6/QgIxb1MRa/PK+Wl9AQAb8iuareBQcXjQ1G/oMVLK2wAPhLOeXA3vomgJLnt9Hte9uzD83Oqx9MOa/PDY/E2mUBzZIaXe/pZ7ybxQSEZoK3lt8k+c+MxMcgsruFL/kQoZT1tRyi2Or8jIn0uuzGC7bMczgUsxpKBMJLMxYWC9Y4dFIb5+cz8rRmEvUBvUJQ2ABZsPv6rjtAQnfz21F/2i/I8AKv2mYIC5NOwngVMY6FvCufo8vg8OJV1UMM75AgVlVfX2tdbX2BFqH+J2aJz90mz+9M5Cfv5tN6c9P4uJi3MJBA3lllI0iaYKhV8IoRPKdBJCtAHUJ6yFeeWnHG79aHHE2PxNxcxYVxB+viG/st5+Vmqr/a7Ryt3PLanhngnLKa7ycbY2nw9dT/KjayztKKZ6y0Jaiwoe8N/Al8HjuM3xFUeW/8KPQTNmsFYewWm+pzldvkRSSlq997VcSKnRhCJkUdjvfM/M6sDgrmnceWqvvfirxDZjR/cmzqmFRdX+t7I4qmv9v+0bwbNYRl8+DZzErf6/8qj/WgZoW+iS/yOjtYU85xzHSM1Ml7VcibvKzc9BnFMLFzJ+MM+MUeUUVHLiMzM5/qkZBIJG2NpQKKLR1KynF4FJQFshxBOY7TsearFZHYbM31TElJV5/OO82gDpM9+vj9gmaNR3F6zPrwAic/QtUajxB8krq6F9Shxef5BztbmULI9npnEU3dsk8ifHdwAIJA86PyJhRz8MKZhj9GeF7M75uul2+tY4NnzsjbITeKBvlMV64qJYFFaMIj1UjGYvNtM1wRe3Hl5NiG8/pRe3n1IrjPYV/L6+fQQ92iZy5/hl9fbz4uJC36Phz8A3xrGMNT7lL0VPhG37C/Vf+D//9ZT5r4zY1+3Q6ds+mXW7KpgZEoSUOAc7Sk2L4z/TfuPVmRuZcNNwVu8so2fbJE7o1aZZz1sR2zQ16+kjzDWynwTygPOllBNbcmKHMjtLa3jm+3URAejLXp/P+/O2RlxI65Jf7qk3lldqjqXb1m2wjrFseynDn5zBh/O3kuVbzouul3nX9QwnacsIVhQwRNvAs/6LeS14Nufq8zg1/20Wyd6UkMI22Y7LfA9xZeBhNidk13vfJLeDJ/+QxTO29aijWxSmeLRLUau2RSM9qfb/1j41jgSXI1x3URf7jYKBxvMBs91avkxjqGccs4JZPOj4EFGZT5bYxAXaL8TjIWAYYZefFauyFwrODKXpegNB/v71Gq56awE7Smt4Y5bZIn5naQ3eQP22LYrDhwYtCiFEuu1pAfCJ/TUp5eHnXN5L/EGDzxbncsnQLuEv69iJy5m7sYjRR7ZnYJdIN0O5x19vaU1/0MCpaxEtqy18wVCDvtBiQucN6ogvEOQ+x3h6Vu9gLDfz/ep8rg98S7V0U0wyf3e8y687zf1mGgPZJDtypf4j6aKSz4Ijw8eebxwJBmS6HRRWRvYeSnDpXD6sKzkFFeExy82UGsWiaJcSfbnQwx27wFut1aMt+ZqR5KawMrKYbpJxAuWBVFYEulJIKo8GrmW6ayx/yX+Y7q5NOEWQv8nxPF3xCPmyR8S+9kWn1oTqM+w3KZf8bx47Sms476iOHPfUDM7Mas+rfxyy/yesiEkasygWA4tCv63Hi2yPWxwhhCaEeEII8ZIQ4prf4z33hxW5pRF3fu/M2cwDX6xkwqLt4TGrlYUvSiCxLNQ1NGB7rSq01oN9mdFA0EyJ9QclcXiJK1nPSzNyuPS1+fSsXsqtjq8YrS/mUef7+L2VDDeW8mnwJO7z38gRWgGX7HqObUYbVstMqonjTO+TXOcby+c2obCELdqiPtaaFEnu+tZD5AJE5kesrbIoopKeYBcK629aXygS9lCAOD2QzW7Mm43NsgNfG8PpE9zAFtmeG313EUDnrvJn8Hs9DNdWM1pbiIMAFZ5AvWMV2W4GLLeUZbFOWbmLSUtzGTtxOb6AwdiJy9lSWD+Qrjg0aSxGcZWUcrYQIk5KWd/v0QhCiLeBs4ECKeUA2/gY4AXMNS3elFI+1cBhzgM6AcVA7t7OoSUxDIkQtWb86p1lnPvyHO44pSd3j+4DQHmN+YW0LxFqrXVTYburs7CEoqiq9ktb4QmQluCKKIjr+eBUzsxqT7skJ5Ncj9BP284DXM8nVaM4yTGFIpnMZ8GR3OT4Fr0slTjh5ydjEHONAXwWHMlF+izeCp4ZzqzZRWt2Ga0j5pKR5CK/3Bte5jQ5zkGNL0jAkMS7zDG7m6ShYHa0i58isrbCShOO5nrak1DU5T7/jaw0uvF1cDj5pBPw67ztepY3vffQy2XerOTKDN4p+TcQ2U/LEgc7div2rk/NYPkFR3Xis8W55JXV8N6fhhGUErdDZ3txNV3SD53WK4paGrMoXgj9nruPx38Xs1AvTCh76hXgDOBI4HIhxJFCiCwhxDd1ftoCfYB5Usq7gVv2cR7Njj9o0P3/pvDfHzeEx6yL/JyNReExy51gz/axhKW4qr5QWAvW2OMRM9YVsDK3DF9QMkZbwKeufzBY/MaUlbvoXjKbfpp5AXjQ8REdKWSwbwE/BIfyn8DFbDXacr7vG7YbbZhrmL2YxvpvYohnHO8FR4ffI9qSo5ZAJLh0Zt17Mj/fe3LYkrB+J9isjbrpsZpo3k6thwvJe2FR1MWLizeDZ5GP6TWeYRzFEqMXvdjOjOAgbvTdhRsfV+z8Fwl4uE3/kj/pU8mgLMJitcgtqV8Nbq1mGAhKBv9zGle/tYBpa/I54emfmLEuv972itinsds8vxDiHaCzEOLFui9KKe9oaGcp5SwhRGad4WFAjpRyE4AQYjxwnpTySUzrIwIhRC5g3V7vMaImhLiRUP+prl277mmzfeZfU9YyuGsaYwaYVcNWRewL0zdwV6g1gxHSgjLbojOWKNitAauUwFpzwJ7Gau1b6QmQTDXn67N5/avd7KANj5zenaecb5AmqnjZ9SKnep+lb8EUdstULvM9xFTX/cyNuwMkfG8cjRcXt/nv4HbHZCYGRxII/7sFRaRGnF+X9ARW7ywPrxEBkGhZDW4HXVsnhM7H3N66cGm2ugjLenDqGgkuvd5yo09flK0siyaQUidltk+7ZBJc+/p3E1zpe4DR2iKmGsPw4iLO7+NF8Qpr4q4Lb/U3x3iezH8WiMx2ihYXs6zjZdtL8QYMft1cHK4H+X5VPp8v3sGdp/YiNcHJO3O2MHZ0HwwpD8vCykOFxj59ZwOnAqdgxiWag07AdtvzXKChVVi+AF4SQpwAzNrTRlLK14HXAYYOHbpfZafLtpfidmgRxVCvhzJAtjx1FlB7V2XHGrMLheULtvuErQuxVVVr7ddD7OCjn3W+X72L0Ue252nna5yhL+QqfRrn+J6gatXXpIkqnvdfyF3Oz/mH810GVC/gs+AJbJSdeCJwJX93vsdSoxc/G2Y20irZnZv9d0XMs02yu16X0c6t4lm9szxiQaFEd8hqsF2kLGGI1rQvztaKIzXeGdF5FuCSoV3q7aOoTxtbMsOse0+mVaKTuyfUbyluF/WGqCaOL40R4effGMO5MPgLI7SV3OO/hZWyG+86n+a6wmeo0M7mFsfX7JSt+cY4ltzi+gtZWv2k7O9cErrpWbmjjDV55RRWetGEYN6mIjbvruK71btY+48x4c/NrjIPFR5/g61MFAcPja1wVwiMF0KslVI2V/P7aA389/hpl1JWA9c303s3ifNDq5FteOKMendBVgZS3Ysg1AadI4XCfFxY6aXSG8CpC8pq/LjxkV9Szp/eWcDwHq25VP+JfzvfYGVRJhflPUawLI9XtMX8ZnSit7aDWx1fMax0CztlOi8FLyBdlHONYxoAnwRPAeC94OlMNwZTLhPCsYdo9GmXXE8orMV14l06s/9mdh+99UOzK6klGABayKSIjxLgtrcLT4lzNukipoApd5zAbltGUxtbTYxlyVkWnF0c4hxaODECTKG2mjE2hIHGNf6/kUYlpZgX6n8GruR17Xn+4/ofG40OdBEFPON8nX8XJLCY/gzV1rPe6MIOMthaZAaxfVHa0leFOgV4AkY42P3d6l0AfLV8ByXVfl6avoE4p05RlY/NT54ZtrqnrcnHoQlO7quWujnYaKo9WyOEmA60k1IOEEJkA+dKKR/fh/fMBey3lp2BnftwnBZn7sYiTuzdJqLNQU5BJf06pIS/EGAKQ2q8MzzmCxjkFFTgDRghS0JSWF7DgEe/Z3j31rSpzmG8++/sWpvOpb5H2LCrnA/0rwDI0rZwq+Mr4ksScAiDG313c4djEn91fAFBeD5wIQYa/wxcxSbZkRKZxBqZGZ5Lrox0HXTLSGRz6AubGu+krMZP73bJzM4pBKB3uyR+y68MxyNaJTjDF3xrLNHmLtLquJ7suOtYFPa/kWLPHNkxso1HmygLHCXY3IBlNX4cmiDepUcIRbxTb5JQmIiwSAD8YAzlEf819BQ7eSLwR/w4GO/6J3/z/Jdb3fEkC9MFtdToyYOF/6p3NEsorLVNDEOGb5h6tElk4+4qlueW8fGvZnNKa95biqpJi3dSVOXjz++biZSW1Q7wwBcrGdg5lcuGNb87WdF0mioUbwD3Aq8BSClXCCE+BvZFKBYCvYQQ3YAdwGXAFftwnBbH+qB7ItZpMC9+1d7asV827KakymdzR0lO/Y/pJTurZxyfux4jsdjD5TzIvE3wqmsCbbRy2ohy7nFMZJlxDN20fP7qu5WT9OWmKPhhvtGPLbIDD/qvIyB1UkUV44LnAhDAwXvBxleiHZaZHhaKzNYJbC2uplubxPDr7103jPYpcTwfCsrbM5YsayrRVd+iiIsmFDaLIi3BGXZHKPaOaG09LGFOjjOFwqlr1F3wKd6pU0L9BImmIXi/zufpEf+fmOD6Bx5c3Oe7kSNEPvc7x3Nz+YtIp0G22MhvsguTgiNYWW0u/1oecrEGbNZkabU5pxJbJp9L1/AFDWauL+DvX6/Bqdc6GvxBg82FVfRul8wnC7bxyQLCQmEYku7/N4V7T+/DbSf3DO9TUuUjLcHZpBUHFXtPU4UiQUq5oM4/odHbRSHEJ8BJQEYoKP2olPItIcTtwPeY6bFvSylXN3CYA4a9FYbFLxsKeWfOFs4KtcLWMLj946UA3DLyCP7rfJkhYgNX+h9gq2zPCSVfMEQzL8J/d77H4/4rOU0s4vXAWSTg4XrHVDy+Hykmie+MYUwzhpJGJQO0zTziv9Z8f+K4L3DTHufZPSORTYVVJNruME/v344OqfGc3r89n4ZqOK4/oTvH92gdmZXl0BFCkBRyL9ldbda/O9KiMAcTorqeave9Y1SvCBecoulEu9hZYm25/By6CMeErItuNPFuqjsqGutkV472vkoQLZwI0VEUcbVjGn6p84uRRX9tC6O0JVznSecEfRvplFNAK3J8IzC/3rXxC7u7MznOQVGVj1m/mVXh/mCtsLw7ZwtPTFnLfWP6hMdW7yzjkwXbuOc0c+yZ79dz84k98AcNdld4OeHpn3j0nCP50/HdwvtsyK9QMZBmoqlCUSiE6EFtU8CLMFt5NIiU8vI9jE8BpjR1kgeKhZuLeWrqWv53pVmRmkhNOB32iNYJ3O/4mCv0Gdzkv4t5Rn9SN00J90f6r/NVLvM9xKlV3/BTcCBLjV7c7fyMY7W1OEWQD4Onki9b0VkUcoK2gsf91+MNNe35k/9vmH/q+heMVglOSqojL8Ad0+KZdNvxFFf5OPnZmQD0aJPEfWP6sn5XbeV0klundZI7Iv3SCi5aYhAhFNY2TrtFYf6OloVjF4oBnVLrva7Yd/qGEiu2hOIDTl0L/++S4hwUV/mixo0SXQ48/n237Lx1mkQ/HriSlbIbOUYnlspeJFPNVPf9vM8jYDOENld9w5n8k+5iFyApE0mUVddaspb1XR6l8O/XUDdhq4UIwBPfrmXuxiIGd20VHhs7cTmTlu7g4xvMXJipq3ZxQq821PiC5JZUc8tHS3jtqiGc3r89YBaprttVoT6b+0BTheI2zIyivkKIHcBm4I8tNquDgHTK+XTRNkAwcVEut+hfca/jU54I/JG3gmey+7eF3Ov4BoAXnK9wqvcZTigcz0ajAy8Hzud51zhmuu8mg1LeDd7EbGMA3bWdnK/P5Y3AmWyT7QC41n8fSdRQSd1CpegmtP1Cnux2UBEKkKfGOyMEwGqdEVEQ59DrjdWtBra7ACw02x2udbcb76ofLFdmf/Mx+bbjI1qyD+tm1kVYd96tEpy1BXru+kKR4NKp9gVJcOsUNWMBtQ8nE4MnhZ9XkMDNvju5zTGZ6cZgvgsezQhtFa86X2CF+884hW2Vxaox3MvVuPHhCzgQ1NYN2SmqMi0PuyVkueOmrNwVHpu0dAcAeaF03UDQ4NT/mKs133qS2bLkt10VVHoCtEp0Mn9TMa/P2sT0e06kR5skwHQl7yipUZZHIzRJKEI1D6cKIRIxi/RqgEuB+utqxjDzNhaxo7SG47WVvO98iulyKDf5/srWLTk87piIJiQPOD5mnnEkxxRMpVpzc4P/Ht5z/psZ7nvIoJwHg9cxyRhB90Aet+hf8V3waGYZWUg07vTfzmP+ayKCiCDCIhHNWrCw3Ep2oeiQFkdFfmVYFDRNhF0N1lhylHYaiVGsAeui5NAaznW3tMCl116Uvr1jRHgtaEXzULcHWEaSm+N6tOaMrA5UegKcnd2By9+YD5jW7bbi6oiU5VYJLqp9NVH/15qA5kxIWyW7c4stBfs7Yxj/ClzBNfoPfB48gQ1GZ07Wl3Ex33G0aymZWj4BqVGNm6erbmYDR0cczxIPeyNCq2X6su21n7PkOAcVnkB4PRN7lp31WNME90w0EzazQpZEWY2fB75YwUl92vLBvK3Mzikk54kzwsWhVd4AVb4AbZNV2xmLxpoCpmBaE52AycCPoedjgeXARy09wd+TL5bk8v3qXbznmIguJKPFQv6oT6dzaSG6bnCu95+86XqOia6/kyi8vBE4k7nGAO7238KDzo/4OZjN58ETAMFzgUt4PnARRp00VUskEutkrIB5p19S7Q/fDYLp9qnxB+ncKoH1+RW4HBpf3nY8czcWMnOd6d+1i0dcKPPFWoc6yVXfyrDEw249BEJ3qk5Hw0IxqEsauSU1xNksiv4dU+nfUZnzLc3Hfz424rlVDHdkxxR+2VAY8TlIS3Cyo7QmIjvN+szFO+t/9pqbN4Nn8WawNnvpO+No2lHMMG09HwZGUUUcx2ur+Ufgv1zg6klHUYRPOqgmjieqb2cjnSPEzOpDVWpLkOiQGkeFp5JfN5sxt6CtwrNu+jfUJqJUeQN8smA7nyyoLecqrfFz5Zu/8sCZ/Xhk8iq2FlVHZF/5gwaaEBFW3uFEYxbFB0AJMA/4M2arcRdmm/H6TfNjnES3AzxlZLs38kLgAgaJjTzufAeAz4MjWCF7cLXvfh52fEA5CbwUOB+Ar43j+Np7XL3jWSLh0EREFghY6aPBcCASatdzSE807wbNOZlC0TbFzfr8Cpy6YFCXNAZ1SWPJ1hKgVgDAFIHSan/YerBXTltuJmsRoXMGdgy/1jrU7rpPu6Tw2MjebZi4ODciffOZiwbyp+Mz1d3WQUSfkNvEfg2zutIm1olHVfmCxP0OQlGXIDpX++9HxwgHxtMp5yv3QwwQW5hpDCSIxlDtN94IPMRyVw9aU46BoECm8Vj1HUBSxPfIKmLdEioADNgC4tY6LfZGhzWhc960u74vbtWOMtbtquDRkEiAWfv0xzd+5ZU/Duaqt34lNd7Jd3eOrLfv4UBjQtFdSnNxZCHEm0Ah0FVKWdHwbrFJolvnaG0dupDMM/rzhnEWt8qviMfLfwMXAmYmyB/9D+7VcVPineE8c/vYzjJPOBAJtXUI16rZYwAAIABJREFU6Ymu8N2i5U6wCuJ0m2vIavXgst1JZiS52V5cEyEec+8/he9W7Qr7ZVMTnPxw10gyW9cGF0/o1YYPrh/GcT0ywmPnDOzICb0ySLN1OI136Qw5wt59XnGgGHJEKxZvLQlbDfYYkfXZsFsUVowqWjdgi+Z2S9mRaARsFnYxKYz2Pg2Y1eMAvcV2PnM9xpFiK4uNXrgIMExbz0fyb+xwZZCAFzc+1ssuPFB5G/YVme3xjtU7zdbpmwprV4C0svA2FNS/fP0WEha7sE5asoP1+RWMm7mRvDIPeWUedpbW8I+v1/DvC7O589OlnNi7DdfaMq0OVRrt9WQ9kFIGhRCbD1WRADOTJ1vbRFAKlhk98ODm6cBle3WMaC6lFJsY1I6ZX+Q42wXdsijs/ZAuOKozL07fQIc084sUNOoH+OwuB6v9g32sY1o8142I/DD3jhK8i7aqmV0kFAcXH15/DB5/kHmbTNeLbhMKK7HBHqOwbkSitV9xOzS8AYM4p16v64Dl/oy2/f5iCYTFb7ILJ3qfp5q4cMbV6doCXnK+RA0uNssOJAoPp2uL6CPux6878OKkoyhiTvUA7uHmsMXiIMDG3bVCYX0voy0fvCYkLPZaD2vfnbauun8dv5SFW0pwOTR+Wr+bVTvLOblvW6as3EWbZDfvzt3Mkxdkk9XZdMVOXraD4ipfRNru4q0lpMY76Nm29jvoC5iLSx2srq3GhGKgEKI89FgA8aHnApBSyugrw8coiS6djmIbm2UHPDS+0I79C+TUBf6gDLuU7NRt8mYfc9u7r1p58TbxuHNUL647PpOvl5vF63bz2hIK+/YZoareaL2oFIcW8S6deJeOIa3AbeRrAAm29iuW5WnvyWUR59TxBgzcjtr2NJZbNN5VXyiS3A68gcibHyGo1whyXygh8rLyvTGMo73jKKe2Nc0V+nQecnzIetmFaulmnUzgPH0ux2priMdHsUwmU8tnUsXx3MMtJODBi4uOopCc/Prfx7V55v2vxyZ+a0Op5VYWFsDCLaa71+q027d9Mic+MxOAE3plsGpHOZOX7eDzJbmMPrIdfw0taztmQHu+X7WLy4/pyoXjzBT6nCfOILekhsyMRHo/NJVzBnbkpcuPAsxGoU9NXcclR3cJewLAjL1Eq9xvaRrr9dS03saHCIluB33FNlbUWQ2s3nYhqyE90RXu4Z8a76Kw0ht2KdmxrAdLTPj/9s48TqrqTvTfXy2903RDN83SQDfYLiwKiOATxC0q7qLPSYy+yUTN7hLzTEzie+M4iYnzMX7e5JlMnMzoJHGZTJ6TibtGYxxDEjNJDCokgBuIuCBRFAQauvq8P+49t05Vnbo0UNXVXf37fj586D73Vt1zum6d3/3tQHN98Kd3zUbWNOBqA4mE0NJQE/V/2D1AjcLnzFOqE2sq8oUn+3Ir/HW6rBBJYg0JtelQUHjCbhtrUzk9UyAwj+ZrzqXiXZpyfr8rcwJ3ZY7HDSO/qP8hLkg+xi/NLJrYwdpMJ8uSv2RZMqjdttOkqZPd3Lf7SG7gfJplO7tIMVneYvmmQ4FEzvxffTvwVfgiEW22uVvs0z6crXlzK794fjPf+9W6KDLrC3c/yy+e38wGpxrvd554kZseXcsjod/jvmdeY+nM8dzyny9yy/84nH988iUeWvkGd1y8kLe29VKbSnD6zcu56bzDOPfwzvD6u/nnX7zMpccfUNbqvFrz2aE5uYspibf4f7uPicZ8IautjTW8v2tHFFkCQZTJ5m293vILVijUppLszgQ3kzUJuNpAk9P/IR87tieN4rz5ndz5m1dYNnfSQJetDHPsVukmPNon+/wyH+D3UVht1j1Wn06ydWdfjqmqoSYVCYp8WhoKfXG2vlh5yBWMt2VO4bbMKc6I4cL+x1iUWMla00kL22igl/NST3JG8qmc1z6emcMDmSPZTZJW2UaKPn644yQgnRNpZdkSrsn1i7wb7hNbnP1idH2arTv76A1zQu7+fbb32n3PBlaCXzz/VjR25Y9WsKuvn1dCh/qmrTtZcuPPAfj7D84B4Im1b7Fiw5aodPv3frWO7rZGFnSPobE25d2D9hcVFA5jeoMEnpfNhGhs3Ki6AkExNnQ2tzr2+5bww/EKilCjqE0lsEVCrfR3v9xfWHoQzfUpTps9kXtW5NZJtF/W3T5B4YS5drY28Lv/9YGBLFepEk6eOZ6PLurisuN7+PHTG3OO1XjCnb3CI9JmC6PkXI2isTbJ5m259b8sLU5whY3km9hSX8FSLsIdmRO5I3OiM2b4ef8cpsom3mI09fQySTbzydT9HJ/MDeQ8vf83rO3v5B1GMTn9JttMA9f3fZj3aAqFgslZmxUe7phNGnzXc8zuAW4OUnNd8MD53MYtOa8PZh5893f1Zbj9qWB/OGfepHCsn6NueJzO1nqWX3383v+p9oAKCofW3kDav2zGR2M2LNXFhh62NGSFgt3IfYLC5i24oar2C+xWXG0fVctXz54dOdZcbG2lPsf01OwxPSkjj5pUgmvPmOk9VusRFP5eIraMuZuTEzq/87QMyAu7DX119sHJ1nEC6Giu5U+v+0PEK4PwYP+RBaP3ZY6iNuyPtp06Zide4qup2zgwuYF6drGTGhqkl+OSK+g1adaaTo5IrWHd7vFcKZ8iQ4KNO8ZzVGIVr22fBmESrc3dsPWu3Kgya7Za+dq70Tx6Q1/Qs69mxyw2rNd9WLQNGuzf1tdoqhSooHAY9X6QgGPLawBRvoCbBNcaCopWT0RQnEbhYrUA9+kunSgUHhZbW2lPpidlZPPbaz6AMYZv//wFwH9v1HvuLytQUs7DjBUKbrFBt2xIdF7o7B4dPjg1h2XDIQjXBiKHe+48gte5QSFNtamKBGKsckr1A6zOTOGezCIyJGhiB9upY1HiOT6Vuo8dppYeeZXn+ruZk3iBn9V+HoD3TS2N0stGM5Zbk6fSj/BOXxOHpl7mgR2L2UR3TuixFR6uuS6dSkCvX1BYh7ubsW4FxEtvFUZylRIVFA4N29ax2TSz1am7NK45uNFdQTE2FBRu9Ij9Hvh9FMGYa1GdOzUobnbWnIk8vnoTkNU4fDZkG73i9sYYN6qWmmSCsU2DHwWhDE1sRIzdj9w6XfYejfNRuNGZtZHpyQmu8PQjsQLFPji5mnZWUGTf97DO0Tzz6rtMHdvA6je2Mro+HQmK0fVptvX2RQEj7vdusNkVVjm0jvQn+ufyxK65OeccKBs4IfEHdpLmEHmFZ800PpO6h79O355z3oXmMVYkpvOuCXKXZiTW8w+7z+JR5vHezkbaeZ/x8g4rt3cDwgZPr/I1bwaWhte2ZINl3gxLm/zx9UIrRClRQeHQP3MZ33gmtzhfR/jFc9V1q3YnPFEmoxuKO7NdDhnfzAvXn0IyIVEInaXO8xQYObOdb1xLQw0/+5/HMGG0ZkkrucSFqfqinupinN45lYLDez4/4xuCwA+A8c3Z+7GtqVDr/slnFrG1t49r71nF6je20tKQjmo5pUJNu6UhDBhxWupaoVHOpMC9Za2ZzNpMbovfuzNL6JAgjPYg2cCz/dP43+nbmSBvc3hiLY3sZKNp42vpW/la+lbeM/XUs4u0ZHgicxi/7+9hpelmZmIdtbKbb/edxU6CRFog6i8D8PymQJNQQTGI1PScwA8zuY63ceFN7365rPrt+hyso8mnUdjXuoIlnZSoCFk+Xo0iHXxU+e1FJ4/JrzqrKNn70VfQ13d/+cbqo0ioQo2iKc9HAdnkzA5HUBw8PsiJmDi6LgobFxGa69JRaLivWVZzfRBR6Iab24irhprKmKcGyk5qWR/6Oe3/n9n9WQCEftJk6CPJucknaWY7sxMvscukeYcmLkk+yLHJ3K7TH0k+whbTxNOmh8WJlfzZNPP3feey2Yxm1ftdnJ74A2t2TGYLQchsX6a/6N6yr6igcKhLJ/j0sdM5ZdYEzvjWciD75OQ+VRmb4OR8Ce0TnFut1WLNAR88YjLf/FnQzyLOr+D90nockIpSDHs/+vJ8vaan8H40nvPc85M+jSISFDaJNHtvz+9q5e5P/jc2vLOdK/8tdwNMp4L3mtRSnx0LNzgbQeUmqzaFEVcNNclIUNSkEjm9u4c6hgS7wqTBqFy7Y1m7uW8ZAhybWMF600GT7OAvk49STy9nJn7NStPFJNnMd2q+CUC/ERJi6DUpbsmcwa19p/Dezr4o4KZUqKBwEBG+sPTgnLEp4RP7iTM6ohLH1k2Q9Dyu+UIPWxpqWPPVpdQkE5GgiItU8qXxW8GysFvrLCl7JtrwvUl4Hme2L1s7vJfdezrb9dDxUeTVI6t17u2aZIL5XWOizbyzNSsU7PdnkjNWE5meCsPN7cOa+9BUFwqKUmWFVxrbcuC+/rDIqIFf9c8Cgm6a/SRoYjtzEi8yQf7MwsRqfp2ZwQnJp7ks+RNmyHre2X6aCorBYlJLPRu37KC7rZHlVx/HpJZ6bnxkDYBTMqHQUWi/SPb1EDyt5QuQmn1QDX9+1bGMq0D6vjL8cDWKTx07nQPam/hu2DHOX+vJ30YVcjVnm/3t1pByNYq6dCKnPpj9jhx1QBt3fWwhLfXZY1tDrWBccx0fXdTFqbMncMNDq6P3glwN3QonN+S3Lp3kvZ191Kb2veWrxRfC6+aEVBpbjXobDSzvnw1ktZJ/71/Clam7uSL1Y1a+vgbaDy/ptTWusgj3XrqIBy5fDARJbG55hGVzJ9FUm+LsOdnsZ+Mo7Q9dcTT3XbY4+t1nZkrsQ/Gv7rZGb0asouRz0owgxHvelFauXnow5x7eGd2jcVFPLlbrdbfOZNThMLesBwTC4/7LFnP+gineOR01vS2nZP17OwJB0dZYw7VnzOSIrjFRwp81ObkCyWoU+f1XwC/oBoq9ps/J3+QxJftyU4YCd/R9gJfGHM3Y+tLPT3edIoxtqi0IO/3lF49n5+4MXW2NrLzuZCCI4GisSUZPQqlEgkPC/sZWHd6fm1hR9oXjDh7Hi1871WvG9Dqzw3vUNd9Yh6g7Zp+XcjbrUFCkUwm6WoLwz4XdY6Le18V4b2cQOOJGCqbzHNxuUUOrUaRyBEVhIU13rvnmKKs1uNVv68LSOvU1yUjLseeN8lR+HttYU1DPLZmQgkCTwWZregzTLr+/LO+tgmIvcJ1uljlhy8qvnzubO369nvlTWwvO2ZcnkG99eK6GvSr7RbGS1d6igB6NIuV5vY3cSzmlPuz7ueU/br94ITv74vMfbJ0kNyE168wOTFRuh8aoPppznajCgec7lk4WOrprUgn6dmWocQRFbToQEK6WVBue5/aStxnRY5tqee3dnTmO9Pp0MicSy7Ykdim3MNlTG+P9YWjqUMOQcaPq+NxJB+WYlP7i8CC+el/8EacfOlEbBCklJS7hzpdHYQWNa1a1GoW9yzuaayPTk3uf16QS3ooELn91VBcQ9Py2WGGT1SiygqIuEkjZ69iSIz5BYefjyrtsjTXXGV9YqsRqLdm2wdn3t90gm+sK52b/Fq4vxgrcVk+Ola9m1r5SzlYWqlGUkeuXzeKa0w/JER7nzuvk4ZWv55z3g4sWVFxtVUYOvn4Ufh9FeN86t6bVKAxBcEVrQ5of/jYofbO3JtYPLZjCh/L8GXZD7miuJSG5CXtWi3E3bbsJ1zjXtgl5dv4pR7PwaSBWSLoahRWSTbXB5u6WILERRe56bfXo5rogQXBUXYo3whw42+GyramWzdtyzVij6tJRH/P83jZ7S6lzJ1xUoygjqWThU9VNf3EYq/52ac7YkgPbOe7gcYM5NWUEYzfaWZOyjmW76bnag31ad7cs+8zT32/obmukpaGGc+d1cvP5c0uS62Pn1tnawL2XLubU2RMKjrkmLruhuxu/FWbR+W4xTk/V5nxtIHiP4H+rUTi1OKOyJK4p2obR2/PdOnA2UnGsJ0vdOstdQZ1N0C04PZZydsdTQaEoI4yECA9efjR3XpKtourzR1gzk3Gepu0m7CrA7aNqOeOwiSWZWxSBVJNk1qTRXu3BtcXbKKyaGEHhavRWQLidJe3G7Jqe7HtYH0XGo1G4uSRWUNiWBAd0ZBstWTNam6cmmxUsruCK8kXShYIrDl9eV6lQQaEoIwS71YnAjInNOclsvnBtO5Ib9RSansqU3WY3d1/zLmtaSTubairp0SjCH63wcFdmx1zBku0lnrXE26dzu5G7pmFbFNTtGT5rUtAje3PYcGZaW2N0zJ43ttEnKGyvmsJwY9eXNBCzXjk1CvVRKMoIw7ed2Kd1cY5GGoVz3jEHtfPYn96ky9kIS0k6mSCdFG/lAmtC8pmefGVG3PMstR4fhb1WbpXcUKPw5FFYs1JvXz93XLyQDe9s59x5k0gmgsquNz6yhoXdY/nooi6O6BrDzY8HJd99piefRuErnVKTSrBjdyY2AVAFhaIoZcUb4eQIjUM7RzO6Ps2FC6ewdOb4qH5ZqVnYPSbq01Awx3Djr/E6s4ubnlx8zmy7dtfUk9UoircN6O3LsLinLRpfNreTvkw/J83ooKdjFLM7Ay3jGz8NKjq0+0xPtYUtka1GkR+ua8/LFxTW+e0zH5YKFRSKMkKIMxfZjX9B11hWbgzCdbI+Crj30sUF55aDU2ZP4BTHge3iy+GwprBieRTFxtxjWb9IdjuMnNmeSgjWb9HrKRmSSibo6RiVM2bPsxqFWybdp1HUR6anQvOY207ZUpNMsDuTUWe2oij7j63B5NtQJrc28NjnjuFLp2aLYh5zYDsApx3q37gHGzuf0w8tdJzH5VHkjIXnuX8D6xzPiXqKwmOzguLCI4NQ3unjGjl4/CiuO9PffjafnWHYq6304JqUrMbiahQ+53raE60Vt6ZSoxqFoowQ/uGCedz/7Ot0e/wLyYRwwLimnLGejlGsu+G0wZreHjlkQjPrbjjNm3PkayJmy5i7WOHhRgilPCG2SY+P4itnzeJvzphJKpng4c8uGfC8raAYEwrqSS31UcMhq1G4m7zPmW3bJPtKlVghIhr1pCjK/tLRXMfFi7u9G0o5n0ZLja8PjM8+7ytp4dtoU05insXnJBcp3mwsjkuOngYE5dSvXzaLH1y8IDrW5OmWWe8Jj016fDGWuN42pUI1CkVRhpWgyBV0hSX/LXHObBebWOgGSUX+kBL8Xa488UCuPPFAAC5YODXnmPVHuH9/W8uqbggJCtUoFEUpa7JWOYnTKHxd+7Jj2VHfa91kOoCePLNcqUh7TGFJj5nJHvb6XaIqv2UsOFi2d1YUZdhQxsKjg4Jfoyjuo8h5rSdf5P+eP5c7nlrPjAnNPHTF0WWr5Gxn6M4/MoV5GqP5Eu/U9KQoyqDg2vOvOKGHtW9ureBscll+9XFs3+UvWW43d59GFDl5PWMu2Wzz7NiE0fV8/uQgAsz2lykHttigb/4pn6CLie4qpzNbBYWiKDkOYmtPHyp0tjbs8RyfjyXt2VR9VXItlajfbENmezqaeHhVOI9QePic8XHhseU0PQ1zhVNRlFJQzqfRcmJ7QriOX7td+u35haYbX/HDcvOlUw5m0QFjOaJrDHdespArTugpOMfnO4kLjy0nQ16jEJEpwLeAzcBaY8wNFZ6SoihDhOvOmsXBE5pZNL2NGx9Zk3MsbqPNKXTorX5VXj5xzHQ+ccx0ABYd0JZzLHLQOwLAOt+rMupJRG4TkU0isjJvfKmIrBGRF0Tki3t4mwOBB4wxFwEzyjZZRRmB+Nr7DidG16f55DHTB2x6KtZbeyhhZVhcUUOXanBmf49AG/iBHRCRJPBt4ETgVeC3InIvkAS+nvf6i4A/ANeIyAeB28s8X0UZUfzkM4t45e33Kz2N/cYXteUzPfk23yUHtnPr8peZN7WVuy5ZGJU6qRTZkF+fj8IT9TTcTU/GmCdFpCtveAHwgjHmJQAR+SFwljHm68Dp+e8hIlcB14bvdTfwL75ricjHgY8DTJkyxXeKoih5tI+qLWuRv8HCjRqyvgafUPCV+jjmwHZWf2Wpt5d4JbCRUHsb9VROKuHMngRscH5/NRwrxsPA5SJyC7Cu2EnGmO8aY+YbY+a3t7eXZKKKogwPBpqZXSwDfagICRdX0FktI67QYTmphDPb90kVDTcwxqwE/nv5pqMoynDH1RRsBFeNJzN7OGSgW40oOcDw2MGIeqqERvEqMNn5vRN4rQLzUBSlSvCbnoprFJXImRgolxw9jdmTRnP2nMJy6iOpKOBvgR4R6QY2Ah8CPlyBeSiKMoxpach2n/MpCjWezGyf3X+o8Jsvn0Cm3zCxpZ77LluccywyPVWjoBCRfwWOBdpE5FUCp/StInIp8AhBpNNtxphV5ZyHoijVxarrTs7xN/jDYwfmzB4qdDTvuZ6UP+qp/Gsqd9TT+UXGHwQeLOe1FUWpXhrzWpT6BIXPxm+T8AYxCbukVGXCnaIoymDgUxR8juvhWqrEMtCKuKVmyJfwUBRF2ROuULjzY0fyo99tyGljanHlxDPXnkS/p63qUCSqkjvADPRSo4JCUZRhj+t7mDO5hTmTW/jlC5sLzrP5Es31KUbXpwuOD3W89auixkVlvG753lpRFGVw8CXc+axMS3rauObUQ/jggsmFB4cwNuTX54wf9lFPiqIog4HPJOPbVEWEjy2ZNhhTKgu+8N6oQVMZ3S/qzFYUZdjjq8xRrFzHcMYXyZUchEguFRSKogx7fNpDNciJhpokxx3UzoeOCExlvrLwg1GWRE1PiqIMe4qZmYY7f/zbpdHPf7Womy3bdxWcMxiak2oUiqIMe/bkoxg/gKzn4YDPae8bKzWqUSiKMuzx+igcQfHwZ49my/bdgzij8uAzM6npSVEUZQD4zEzuUEtDTcU715UCn+Y0pjFY1xHdrWW7rgoKRVGqkqFcAHBf8QmKSS31PHrlEqaObSzbdVVQKIpSlVRleKwvuisBPR2jynpddWYrilKVVKGc8DquNepJURRlH6mG8NiBMBgmNhUUiqJUJdWoUVjOmTcp+nkwNAr1USiKUpVUo48CYM1Xl5JOJPjx0xsBDY9VFEXZZ6ox6gkK26Fqwp2iKMoAmTq2gTMPmxj9buXE8GhNNLRRQaEoSlXwn58/Luf3ajU9WT6+ZBrfffKlQbmWOrMVRalKrOmpWsXFl089hHU3nDYo11JBoShKVVKlLoqKoIJCUZSqpFqd2ZVABYWiKFXJYISNjhRUUCiKUpWonCgdKigURalKpGrd2IOPCgpFURQlFhUUiqIoSiyacKcoSlXSVJdi7pQWLj++p9JTGfaooFAUpSpJJoT/+PSiSk+jKlDTk6IoihKLCgpFURQlFhUUiqIoSiwqKBRFUZRYVFAoiqIosaigUBRFUWJRQaEoiqLEooJCURRFiUWMqb6OsiLyFrB+H1/eBmwu4XSGA7rmkYGueWSwP2ueaoxpzx+sSkGxP4jI74wx8ys9j8FE1zwy0DWPDMqxZjU9KYqiKLGooFAURVFiUUFRyHcrPYEKoGseGeiaRwYlX7P6KBRFUZRYVKNQFEVRYlFBoSiKosQyYgWFiNSJyH+JyDMiskpErgvHx4jIoyLyfPh/a6XnWipi1nxe+Hu/iFRVKGHMmm8UkdUi8qyI/IeItFR6rqUiZs1fCde7QkR+KiITKz3XUlFszc7xq0TEiEhbpeZYamI+578RkY3h57xCRE7d72uNVB+FiAjQaIzZJiJpYDlwBXAO8LYx5gYR+SLQaoy5upJzLRUxa34X6Af+EbjKGPO7Ck6zpMSsuRl43BjTJyJ/BzACPuc/GmPeC8+5HJhhjPlkBadaMoqt2RjzlIhMBv4ZOBg43BhTFQl4MZ/zUmCbMeYbpbrWiNUoTMC28Nd0+M8AZwHfD8e/D5xdgemVhWJrNsb8yRizpoJTKxsxa/6pMaYvHH8K6KzIBMtAzJrfc05rJLjfq4KY7zPA/wG+QBWtF/a45pIyYgUFgIgkRWQFsAl41BjzG6DDGPM6QPj/uErOsdQUWXNVM4A1XwQ8NPgzKx/F1iwi14vIBuAC4K8rOcdS41uziJwJbDTGPFPh6ZWFmHv70tDMeFspzOcjWlAYYzLGmDkET5MLRGRWpedUbnTNuWsWkWuAPuDOSs2vHBRbszHmGmPMZIL1XlrJOZYaz5oPBa6hygSiS5HP+TvAdGAO8Dpw0/5eZ0QLCosxZgvwBIFt700RmQAQ/r+pglMrG3lrHhHkr1lEPgKcDlxgqtRZF/M53wWcO+gTGgScNZ8FdAPPiMg6gs30aREZX7nZlQf3czbGvBkKkH7gn4AF+/v+I1ZQiEi7jXQRkXrgA8Bq4F7gI+FpHwHuqcwMS0/MmquWYmsWkaXA1cCZxpjtlZxjqYlZc49z2plU0WdfZM1/MMaMM8Z0GWO6gFeBecaYNyo41ZIR8zlPcE5bBqzc32ul9vcNhjETgO+LSJJAYP7IGHO/iPwa+JGIXAy8ApxXyUmWmGJrXgbcDLQDD4jICmPMyZWcaAkptuYXgFrg0SB4hKeqJQKI4mv+dxE5iCDCbT1QLeuFImuu8JzKTbHP+XYRmUPg2F4HfGJ/LzRiw2MVRVGUgTFiTU+KoijKwFBBoSiKosSigkJRFEWJRQWFoiiKEosKCkVRFCUWFRSKoihKLCooFGUYISLTRORWEbm70nNRRg4qKBSlBIhIl4jsCAu0lQ1jzEvGmIvzrl0f9h3YVU39FpShw0jOzFaUUvNiWKBtvxGR2cDX84YvMsYU1B4zxuwA5oT1jBSl5KigUBQPYV2kfwKagMeBc4wxB+zF67sISpcvB44CNhIUqesAHg7HjwSeAf4FuI6gpP0Fxpj/MsY8R1CwUFEqjpqeFCWPsHbOD4DPGWPmA/XAqn14qx7g28aYmcAWstVaDwC+CRxK0HXtw8Bi4Crgy3uY21gRuQWYKyJf2oc5KcpeoxqFohRyNkHb0KfD3/9EsNHvLS8bY6zP4vdAF4Em8XKoMSAULlCiAAABGUlEQVQiq4CfGWOMiDwXnlMUY8yfqa5ifsowQDUKRSlkLuA6pQ8jMBHtLb3OzxmyD2bueL/zez/68KYMQfSmVJRC/kxgEkJEFgJ/CdwkIlOBjxE0wzHGmAsrN0VFGTxUo1CUQm4H5oemoHMIBMcLxpj1wK0E2sF+1/hXlOGC9qNQlBhEZDJwtzFmYRjJdB3waWPM+3nndQH3G2Mq1oM8DI+db4zZXKk5KNWJahSKEs9hwLPhzw8CbwNfEpExeedlgNHlTrjzYRPugDSBn0NRSopqFIqiKEosqlEoiqIosaigUBRFUWJRQaEoiqLEooJCURRFiUUFhaIoihKLCgpFURQlFhUUiqIoSiwqKBRFUZRYVFAoiqIosfx/1om9DqfoOOgAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "FWHM = 0.004/1e-10 # Angstrom\n",
    "sigma = FWHM/2.3548\n",
    "        \n",
    "handle = lambda x: np.exp(-((x)/sigma)**2/2)\n",
    "y_conv = dyn.conv_with_function(R_hom[0,:], dyn._qz[0,:], handle)\n",
    "\n",
    "plt.figure()\n",
    "plt.semilogy(dyn.qz[0,:], R_hom[0,:], label='{}'.format(dyn.energy[0]))\n",
    "plt.semilogy(dyn.qz[0,:], y_conv, label='{} convoluted'.format(dyn.energy[0]))\n",
    "plt.ylabel('Reflectivity')\n",
    "plt.xlabel('$q_z$ [nm$^{-1}$]')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Energy-scan\n",
    "\n",
    "Energy scans rely on experimental atomic scattering factors that are include also energy ranges around relevant resonances."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "c:\\users\\schick\\general\\git\\udkm1dsim\\udkm1Dsim\\simulations\\xrays.py:217: RuntimeWarning: invalid value encountered in arcsin\n",
      "  self._theta = np.arcsin(np.outer(self._wl, self._qz[0, :])/np.pi/4)\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Calculating _homogenous_reflectivity_ ...\n",
      "Elapsed time for _homogenous_reflectivity_: 1.536887 s\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "dyn.energy = np.r_[2000:4000]*u.eV #  set the energy range\n",
    "dyn.qz = np.r_[1]/u.angstrom # qz range\n",
    "\n",
    "R_hom, A = dyn.homogeneous_reflectivity() #  this is the actual calculation\n",
    "\n",
    "plt.figure()\n",
    "plt.plot(dyn.energy, R_hom[:, 0])\n",
    "plt.ylabel('Reflectivity')\n",
    "plt.xlabel('Energy [eV]')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Inhomogeneous X-ray scattering\n",
    "\n",
    "The `inhomogeneous_reflectivity()` method allows to calculate the transient X-ray reflectivity according to a `strain_map`.\n",
    "\n",
    "The actual strains per layer will be discritized and limited in order to save computational time using the `strain_vectors`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Calculating _inhomogenousReflectivity_ ...\n",
      "Calculate all _ref_trans_matricies_ ...\n",
      "Elapsed time for _ref_trans_matricies_: 1.922854 s\n"
     ]
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "f8eb97c3ea874a6fa8334496f35efc68",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(FloatProgress(value=0.0, description='Progress', max=450.0, style=ProgressStyle(description_wid…"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Elapsed time for _inhomogenous_reflectivity_: 55.276829 s\n"
     ]
    }
   ],
   "source": [
    "dyn.energy = np.r_[8047]*u.eV #  set two photon energies\n",
    "dyn.qz = np.r_[3.1:3.3:0.001]/u.angstrom #  qz range\n",
    "\n",
    "strain_vectors = p.get_reduced_strains_per_unique_layer(strain_map)\n",
    "R_seq = dyn.inhomogeneous_reflectivity(strain_map, strain_vectors, calc_type='sequential')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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FJAUn74KewxgM7qxjmONgsZF5sxLh0RovoRJWijvN1FNZuCF5BYUlXt4PEENn7rQgL5ApE1YK2fnOODa7Dsfy1dzKsCGvg15/czpHxMKelR6Ssm+UUSBr0SRvt/RKZs0g74INOv19sOKdtWmbGFlzmq/16Mgr5++vbUasVlGhe/ruZzs9xoEEPwlnu+wkbj97Kb7X8Zk1PF3X3Kfz7qfvxa7YymfZEbB8nvIXcQnBNAHNTfJAb9Bza4Jct99Lz9OwgqJbDE2Aux/3O/xIfJ4vfokRK39LJOkDX8unYwfOIzxgPFQKAIBofWc9Bno5zhVJHkCs82FMwnZkq1gSmslS5/3HYNCWYSFvJAfAysHZFBbipawte1eJ/Ys1IxZwX/U2+ENgwbsZplZhtNTza2iFIO62Yw/DVRVGStqRy5x94Om82moH6GPnbc1GrlHe67YSAhGPwG7lWSx1mEcs6k7NhTw6u037sZAl5THCyrFzpdhYAbTFPNZjiwV5dPzb1je4cxS/qEd2o9nlEHCfksRsqTZ2xDDEbRvyHq8tTtQaoLk1wyRs44Opel5AfA/Ji7CT/fU9+N8DiK80MpzxolBZKEjyPDSy/0yS4c0kBBkVam40WATxkHg0xovnxWPuBvm2WFFqb5wF+/4yvv9udBLnb5X30JOlzl6BtR7jlq7PCsiN6E5IoVMIzLgAT0rBcURBPd5r/zjO4+YH6JlsHFq28h/lMJ5Fvx//HHdS0vjqr8e/X/rilCBu78WTd1fj3O3Gojmh8NUBvWNvsEtW/p23k3K0Hm5Nx16S08Vz9AYjJZVtRzIufS7V8dApAI4J9oOTmF7b5sK+cck9dPzuDcR7kBxAmIZxRm/FG0jCfioUnfUYxS3ts9+0cNbWPisbLWRLYa8/drHeYVLYpkAXxXNweGqUj20iYGCS98DCSXks+gMfK0pJwhwUxqkptq23E2E3eCcCovRK9DZ9HId7ytCJvpYOCWmBydvFslWKaoeS1jxWwwx7SskAMZzDluLCJSUiXsE8nqM1o1j+LMxqSmfherHytdCt3RsQvSPxCop8AvDgHEBpKOj8kfYOWFHqNTYUylMMFmWtO0zXnfZ8p2FGU/UAxOBQ2zaFUmjdiI6UKwt2t0v3MDp0FPs/OIihunG08BTSYa8AALAla3+HASEAjkkwUCzemIDQxW3bRwhVFQCQVX6LWgsJ8m3t0O9zzIbmtHboLtPf/P11FjffF/9k1JDdWOw+R1N7NO4/e9HJtltfSCGtYweyMTCQp2BCSgKP8zw/YDsjSeCGIpptimxWx0OnALRwdgTvYkWgY/xehHfKAXBYiKFfozfiZnIOoG2mH5izXiWECaoWjLiqEnZRwl4jgXgf7T0AuVDmD6EbnVilVYHpk3Aq3W2g4pZniWQO/aSPrxT28Rp5KCCz7Dkx7BtRIEnxJRRQTUHwBz5zOmmdx+XHYCWRycKmD8kq5t/64LLQDwD0cPI3n2/j2xRnJsQLew73uzme3L2X3ftqmOHSwSqbZx8sbt+KSJNHnkmsCazQOxJmczuIsNyqXIktQkDWBDTg954rgs47tT97rHUBXBu1EFAtmVyGYPg+4zny55qH8Xhuphpm5Gcya3kduLSNvh1rAoYip9YYj24o8hI4PS8RAkTYC0R0cBHiiRQV8N4CnMhVOUMJt1BIKXgLUOLWHZKR01uAYvCM+AEbmSuL4ZDWMSd5X3LYPE6IH/Ym7juM+yRT6JqzewZHb87f45Xf8LhLVn5KGhtsKGzEKRu7toIIstvcyuftAEAgNIyfTTkAALJwrAnyKbBg5YRv1zeyAHiEYMSSZ7SQzgHwcAouyjmAfnSThGs3OvFGUnIxXVPyEkqYJ9x8UhgcWtJJ4DKO36hwk47HyzY3Zv8fz5Nb+40dz0QBZUqkyDdsQjsJ43gkT0Ung5OSSdfl3yX0o+ZW5lb64AT+yWOEmQg+rRTSNn2+FNLh5ymeCgns3jssyaMRqGo3x+VlVADpPTjgiC36pLw2fB5Zkz7i9ADJGVydH2f3xmMSFiIrn88JJGEf799XjyvHWV6THpO1gFBZH8kDcMV70olsfc3SKBngxNvQz47zCgv1bkpFYUwQpdU0lZxek8JMQIwA2DaFfgCgGxwsoXuMhIUd/C6H8ugZd04saTEsj1qAlIzdI0NyFY2Y4AIwo9DzkGL3Ejai6e4+Z3D/PXSPhDha3ATufg4Zo5QLuPleKxY96HzjPFn5HNJpT4D1PsFVb9HzouTy/csBbkMKi5ZRX+thp8ZDpwB4aBho2+bxeSBZBToHwAtMip5MyMJGQLRs8s8gnretCtk8VMSFQT4rkkrCvhYW0r8DeRJYQz/FtTbTefDwMK8YBZTuJQnlsr4gopVq0NQcBtoaL+fUsfgTny8zPm4zzrGjIJnye8XKTWihNGe28uX+g51s64MTr8QppQBERAsr7ROa7531Dt58eJuumRQGY8n1s2NFwmuttR7rkRVAFBSPLlJxlNRGGD/JR/DoRqdCRum+eLiKMK+NURk2Kak7NR6yJHDFKwDimnCOn2ENVDD1UGtoNr0t1NYve8jkPYRgxANIHkWCj7YLhqmS0Bstmhkrj3jOftNIOIi9g37TwC1TfRAAhK0DFj7b1txzGHZy76G5S9DjPS+Wul3HbZtHRzBFoSUhfvxMumdG/Jw8Ack9NPeobmc/vRtHyeX+kk9eA+H5hx3IdZcv0z1SEjhYiAJgFFAohVkxHioFEJCQN13fyEsuKwLbZkyCv00LYpIDqEA5R2/hipi+Xrg6FMTeSONyoVMT9tk1xErqJx+Mhs2VygHIUT6loK56D8U+cb/TkUQxLEVKRIWKkudDiBpl2ct57SDCVV9LjpnAIY0IQraALfykDsAaX8W387ZMKUgIyso55sryBFI9wF7biXBkZNK9OzvYufZCtv9mbHF1L4KtBS0EI/HpBSl+i6S8jwhKqi12tnqdCbK9rJsIwSSLWtU5SKwcUw9AC/vSU3LGV0NANaRZ6QE4eTeno9KybRV4a573SMqDz23UNv5bh0j5mxUDZEyJcUb9ybbRYk41FByeHVctFjtxW09rMxy3aK9S3oBRPlsL7NN3z5XFDcTK50zr4hYJ8ateYKWM79++qYMhT7E5oUTt9T6eG9F6BwjyyaEqEtjDrhelwcng7XWPlpTBpY9OUUCrR2lqHDnyyfLnJfQgUNhDpQAymoJgJMzDsE6J+wUzyQEM3lagoWmxCaRMhY50zL6M38ffaVE0ubCvhWlmbhS0SBVpc0YSOBP21Q+KhX1ZIpjH8WvIE/Zstjr0UIGBlh+2hoFqHLgkEnWcnwu1JGegwl0s7NmL0kVFHFrLoJ/TBLEOraS8Qdom1a50XU5oc4UqkCz20DtJavIzud/PcWm2oWeRnic/k2U7RTCtGaFiRlFuGo5aeio8dB5Le0quoshroxYCelDYiEdNqPM1ayi0+vWn+01QYCr0KduClfwbP4N+dMkap+/yZBuVdwgpX7fepuQx78eoITNqehKa49qK0diTMEUTJHw0SiHYICGdkUJBJ0+yiR9guIiMTmGsx4yUgeTx2wQDXT1K3kYTYLfKyqd5cvFYf5Ce4Q7ZInfeQSigxqM5ppCqII2SMmEUECOU2gcQfT9UCgDILfCSxkGKuhQVhHY1z8oB8H46B8DnG72uhCSBNbpzFYLV3N4HJYEZT14T9gm3PlYhpF2B7tBzK1FAs4qQrkFJNQy0hj7aVcigdJ5pmKmkotCCSQqNzHRbViUq0M8p5r41o1IoM7UtD1vweXebhAq6u43A6YNrxzL3kxDPcWe9g7ce3gSgYLO+EeWp8f+DWPRJyXl6ZFtFt9Hy2uLwhTIUylFbB69klGGj0wS9XKOoLyg9vbPmUlMArjC8hmCztQfEda+TxACwHe3EK+Dqe2e9PMP7tM06n0AiZBRiR61xpn04GOTr8IT8MYtRFIU/ofPtDAh8HtqGPTpfAJojQg1dSV4Co282N9JzOPxw/Pvm59M2b7B8gTyJt1Au4q7DgkI6x28lmbC1YBHHCV6tS/m1pJSZAeaUKyIvokinTcZDpwB0dSIXc8xmuSuoQxYSQ6zkAJzxCZNfyQGIUFa4fh7hvIVgKndQViI/qBJYPAqjag5UqKiT5JqCc55CBZFdVyVjp5BP9UyUgO6IUEyqeWv5g+CmCddaHYDg/LcpBKKgiuepBLYmiOBPNQKJ9oHvoTWjnGftF9l9xWrmeP93V0QJsXes3nv8PG7e3sPnXn0+u/5mbCX0I54NUjEVewUOHgOtKA4zHTQbhbG32b8zO2aoJiAqE1GMD/DpayihpuJtTAyEBymFmmdR8UomdB/BTJSaFva8xrdjUqh6PzayxAAi67xZJGE/EM5/vtPLdyeyYdmLMuD4fLMziDIwnORdJMqIxacpuf/OHiMds/Mp8uzeRe963cASgjhco3n3FuvHycpnxFFncedz6IZoG8f49X67nzKJLI62ze4abK7zfvHfiAJiIc+IpPjb9mpIOQOy/NcT+rd8PFQKYEIFUVjgiVckJXfnjmONlRxAxbKp5QCA3Bvg/z+rEKwm7Mu8QBXRU6kEzoT9GTBLr+PHk/PWUUAaJgpEa3HwuTeQUUIoGGgZWugVo2O671QHMOFTMiHxCEEhRNiit9NtGvqZuGu8/DtS3oIVhkYUcUiHFXVrRrHKeb3sz7ZyDQ7Z4eYc83fkJHfH/UxQLfycxmBSvQTz+ZgEZWQFYE3IYK96LNw0jKeRUQ/I6clIHog/l6Wu76N2jrRtmlzOvLzCKKqFgHrv5D47ep7d0GCfaixYeQ+jw7yo09DzLxPJmgqC4/PtzojNhsJ7nCNc9OjWFDZig6rxGMkb6C6RtQ1IJp6TqqkOwKbwDQlse7eF38khn+5YwUCZnuK2wfrR5A0AEa3DRWS8DR6psKtPgn1FISImett5Kf7/+pGAliqHmQPI56UVk/FQKYAJFQRDuDgsItW6JpWCK9rZs+oAyopgfV6dAxDKZxPOVQiWCXa2TlQSuBbGKfMCPLd4TAofnVXs1U2SsaGSGLaZguDnpI+J55pWEQ/BShhGC4C2CDPpOL+mgOAh5HKKXVI8tArtQFshhsuoIIr7bs0odMgSghGW0SAJ4YNlFD577VbCMve66DEsnznKKoWBGDJ6fDd+gcKA6p0o9712Krg4z+CUh8rKnq9ZhkaApHTinPPQkR4OUwOAn0E5anmB04rTtEedba8UuOkCsHSt3PAZlTHEoxudbBM2Wp/WuIR+BdSRFKubpdARh3d5Ss56jFvOjKZwkl9TjmCujDAOB12h9eGJEhpAf5230TXXFv2VQZ8WV38VePnLOfsc99v/uMG995IQp5yB7QBPiCNLVb3bayFZ+ZQL6K4ExQ8U/+130zNjZNDqBj/rICGfNwYVRBFnT0ViLikDDaE7IwfAimXm+kkOIASjyKhyplBAJWs1lLNMmuq8wCutBD4lCVd+bFn46AwUUKOOKz9szcsuUNJgxGvKQz+ccNXWZgoHAVEBa853IFE8RJKxlHsBovVXJnpHWMX7M92mBVxSCl5+OwpRkEtBGBd4eStK6XAZFdBMeUp3TiK+LoaFcsV282gXbzpguCijlpJCzWksCNUhIACFdCq8spKbied5mnA+zyiVDVC39msorTjfKWjBKiSTvgchElSgglRPQt5ZhYXXq4IvzcLL3zQXiWl6906+yaQUhAqiUSgjEqhmN1UCO64EvkGUzt7CEJzTXY3ggHHjYAh/b4i22RMBnGmD9A1g9s5bn5fuh5E6RwoGOicE0fpGEK0xu0N5hKserJPbu6QUro9oCSZ69Tfjj5/+CgtL1xMUECuOPlUCc91Ak+yq6nioFECAkcz/tmtT1R9ZAJoOWqxt2mfejNgwMkApjEERwwH0IUiVZgoFlDkAXRsghS5NsixZYXAhmBbAQjLnXZZABKJCqCWBxRsQ+uZReRxJsE54V9QHWVYHD0gJXP0Rt/LBppBFSeS2cNp74RxIJ4Kfhf7cDtiOia+ftwGxWQorMY6JZ7h9hehxRW5Bo3xYAfShyWigeZxQPT0LV0YFrcIO7pKVf21xInNjkrfNh6Pf/8gfSrDQFXkMm9tLLJ/mUFKc+5KJOQYAACAASURBVN0+mV37lGD2waRcxRkKi4fOI/FYq3LO09BDPFyRwHUIk2NGVbGtBytGRi2N9MznbpigqyyC3PfRqFA4tO2+UgAlgEGHR1OubIq+m7VDWndEpc59AbrR4YRI3va5B0DfCO/PYo9yVWPC97NSGEaL8YA4oHjbuk0xekYjvbyQeDsfu/xYXC8nbxrE8p+9GO+1e7oT0riGGD37xxI0lBu9jLteoKE9h5uCwv8fclIZePofxHv71B+O1w3WS5iHhT1XNbuNkf4FrGw+q5LABiEnfDsFBqq3aTpoHjp0VKKFNGpBh31KWtosB8BQNeXqnqcQrLEpPltDDdU8Cp0EPh8VRD1XACREE5B7DCyoBqVsalWigyRfpzBIDr1l86zkBzSEEojCxxVhjlqBlw+2SgXBo1V4ffZQWLjyc1irRjc6kc5C3jy9kt/4uXIY59IjR5Pk6mqcyTvWfQGG4pkAyaouFUANBdVn93o+FJAmiqvnADhvoWP10wSunitQD+3panNdY8LH1iiySzromUsGTeolkbYx+mdvEa3zMDhJ/ro9Or83Uu3L4d5+cGgW+Rrrt6kQTPIIawcsx2xbcBAaCTY2JRfQeLH8BXNvPebE0S80zDZg+ULctn40Cfb5rbht8wTlke40WLwUfz56J4Efjhw+/WVR8OtcAMM/WYdTo7cIH2VoOlFUHz+JM8dDpQCAelyeh4aK1VA7LPhT/4C0uLmFneYCqi1YHsYEYSNlq0SP8xSCLey098BplcAlTFBvOw8VRC08VOMC0iGbB4WURLA1CU+foKPjZD8Oi+ShCLbe6WNWxWy1SmUREjDVql/ppkX/rsa5nKfkKdqMrSQjdWUud6m6QpxAS9eJEjnpieJhNzF/sqK6381xQF3hdJiN73enyRUQgEnhXGuniKdaX4bTRk3Y1xLOZSXyCDvZJi0hNVxX1mbat1MKwBXW/qLG+1SBMOd00Om742I7FsBnwWBHbyUaoCuB50syAhkGetJifpkYbDnu3xuYA3pOPcNFxyjoAekHMF5JYSSO6XdXkhHJQrk7TElefn3cXMZuLWbE1bN+Om7b/zgwcNtHek2LmwbbK/n9tvcMNo8Qio3CQ8wYeuu9KQnM6J/XPAlsjFkA+DkAc7re3wkhfLcx5s8B+DYAhH7FfxBC+PtnnSuoxGcNBsoKwUDROzOvjx3BoQqOxS5m/QSFUSNtG71NfEMqByCVyEUOoFYGr2Go+lpnNoLhUIxPdLw68VZNAp9CBTGzg8RlNV9OiQLSx+pzDcX959TPedxfX0MXoLEFvFXVxOU155WOYK0Zq1W/JT3EaVQQvF9bKJvVMJNiMJ7Lemxxf0MKYGdFx3kck1dwvI1hh6cO7so1+H0dbRcSStLXqnHhTO7bMqJoGuLpxinv0XmHNV55VBqtQwqqQhnBgw2B1qSqb+3hlaGdKiVEE1DWEczcOAlVtnacsIE2xmPNxkjB7eW9rVBBGMkHsJEXVg3cHrVqZYK2Ywd3lUKqpNDD0qPhhjBHcZtdDJEkDoC5R6LykHIGfaJv3j5G77W3WD9CyoA5pTdOBLbc6z2Dk6dyFNDmWkrwcv6gu5QEeLNSXgm9sp3YCTTr+sUKaOBzPaAG8NXwALYA3h9CODbGtAB+3hjzk/Tb94UQ/qtXcrKzYKA6FFSjg5YFUKnmLYndAI2CqbSO1Jz/3FSmUgjWZNfSygjVlpA6VMRDQ+lksZ+SBC4bwNSolzWfzZkoIFWJXCamO++ysAkfK7wztN86TJvOlPMAkCV5S6Ws4/ksTByCYgalGGuwGXQ0/ubEsmWhvCb/fDW0uL7I+XI73+B4E4X8kwfRTLPGS+6Dq051FTHP6WgzR3OY548GRSRYPi8geQCsAGox/pwg7mxFUPu9xq00KQ4LqREQrwG9rriYjd+dhu3Waghq1CY8av0AZm4UxatpIkqEn0bazYv6n+AtGnrG/TA1RliY+50xhXk4jDNLz332MqGQ3txjpNd88BF6x19M3+FxkyiaGQZ6p8VIDWOYDXT2ssOWGELtCRkCt4F7NwoUkLL0ORcw7Hlh/FxyeOiZkKgguMEMpdiyfgDcSewEZ47fdwUQQggA+Ctr6b/zBTKL8SAYaIrnY0IFEdQV9XHn4QKK5078QUBcnCVEba4Iq4L6eHhbLS+w0+TXqgp7Be+sIn4ewO9f3osOp9RQQGWu4LTq5DKprOmgdfy+hhYBoiIsO4JZEybejjUpLJL6/1bgoMZPkpVDhQtI016Uymk1zIR4TD/PY+L24bWzVElwDg+FkN4LC+Kt8t5qCd7SEnbKK+OxGZtJEhzAJHynR8YPVC3iysNCXrWdHCmXkhLqvYh78fxOKUio9QSu9QPoi9Bk7FNMa0FRrvuCDE570Ryu3RAppLFeDMSRFLZZDmLkcSGY2R0ShTwlUG2buH18q74J2u/oLUVy/cRiPMiV9bVfAV76SjqWbJZmA3S0ZrjV4+pRpGKvlyoooDuUH3jcoymoJUIblILIv123NtKIhvsEvy6oIIwxDsAvA3gbgL8cQvhFY8zXAPi3jDHfDOCXAPyZEMKdyrHfDuDbAaC5fulMGGiNCoLHGKxqMK0+jqIn8GlcQKGwivT1+Rw6oTspf39AEjijgy62VTt9qabwuvq2pILQJG41LH+JAtKN2tcK3VHLKZQw0FYnAWW/xIbZVUIFUpxVSSQnNJAXRFKaT6oE1nDQRAWR9p+bXPCuuaq56RMiiZBC97u5hH60p3R7EyGhu/P4vBqTlJdQYsy7LNELkAIIuTLWo6zX0B4A39daWcsSClMUzXqUwt5VkrD6PHKtYDC3eYgseZHT9Wd1dXqtTWSlI1imFMYcOQckKKhrkwGU6nnitlWnEEec6BUqCKUcyQJvl6nTmBSCLQdJIAemlHY+IoEA4CoZIx5SvOUvcWyFPPuARAdNOYOb74Pw8oiV/lhSLDOSbidPe6kTCOr1c0N5RgbBAzf+n/hOXvwi5dFwa4JlflwMD5GB8jKFlq7gzPGqKIAQwgjgfcaYQwA/aox5N4C/AuB7EHXb9wD4XgD/WuXY7wfw/QCweNsTgQX0MFp4rvYjutcaFYSmg9YVhkA9B+DMlPhN1wFwAwtAk8HlZe1VIV4pBNNJYJ0rKGl5rUm5glof4bzBSp64q+H/a1xA9eYz0zBWSQCnrzlXoZqMIrpAFe2opPFZHcHayjV0YxiuBNZUECw0WYg1ZsxCbkBSOjtNl3H7AMDdzRJP7t+j65OVDIObRzGo+vjhPbkvPoaF+O6sm4RbtIXfqsQ4G+gJ/eWzf/XY9r/7HACQwnF5/iT38rQ3yNsSfXVIHp0CKJQFixYhM1B4dMU6siYk8r+aElO5t0QGR/kjgtrOdMP4Db3P/Y14/tzesd3psF4xgVwCTXQnMdxkFkphUx2AvURgha2ThjCWOof5O/Fcw65PxWZUUzAeDALvZJqG/pEeln4XWocmWfHdIaHleovZPVL41HjebixuvptkBod2NkYsfw4PzUmxrJ7wgv/vqA8AN4w/bbyqKKAQwl1jzM8A+God+zfG/FUAP/Gg4w1CtSOYJHwUplgEv6r+9RUkQS0HUIZvtNsp24ZGwkdlDqDaEUwJcbHOMf2IgGmYx4fUD4D739YKsjQVhE7CxvOrhGuFC0jPY7Ktkiw+jQ20tGgbO4p1XRZ91RhINbpJCy4WQPMKhl4LT7b8NReQIL1obvy+dptOrFtu4HL33i7eeeWl7B4638D8k1inv/f+l+VanSiAeK392XYiqCPSiOoF9DumOUxCQAiTKl+9/rSFf2YISCvMCil8SrQnJVp6D6O8h7ryKa19D1NdzyUiqMwJ8LH8DQpMt28k5FZyAXG4NbsnRQHDcNDGjRip6tfOE0KIETygRi9+sGK1c7Vxf3MubRz5fMvnCUDw5l6s+MVNsvaverTUUF6WqfPYeTZuO3k6wUD3PxaPufO+uG32shNk0IqQQfPbRmgpeMzvGqyeiCdfvBzncuV34v+fPGUkWSy0Eg8YrwYK6DqAnoT/EsBXAfgLxpjHQgjMsPX1AH79POfLOoJJsVeeKNJUEJrkjYfUD5ySAyix6bop/Fn8QBpCWnYV09uy5DFd/kw6aEWoVqOI5pH1/VX47nj+cDYK6Ixt+ny1cJQORUzDN9MYsOYTKsMi29BKfLpsjh7PlxAtKXGc4u4pLEReiUleCXsMfA867HRMCsBYP4nVr8cW47uoH4BirOTEMCdpD9ppB+7N2Ig1LHF3WLSYrie+55IgLvtdeRi1ENBZzXR0k/m2BDVgWm1eIxLMwj0VBtmyw5wPJtXTNNO5a0+5JI3rfQql1pSGGG/zVB3M0GyrOoixYDdUOOW9ESoGiShs2sT9T6M5SXQPHNoRdI0L4jFoniBO1p48GeS4cYdvmu55bVNohm5r/+MB999C86Rp+DaFiFiw6xaPi1vx35vvJihr8AIh5X9fD03hHwPwg5QHsAA+GEL4CWPM3zDGvA9RBH4cwHe8kpNaG9ARhrds/1gr8OJjAGQ9hM+TA3hQjwBxU9VirW0rcwW1JHCtElg3hdfC9Ewr/wz8f5ULSH/EFUbRMtw0BKuKzk4PN+mm7JKQ5pBQsNipQA+XJclcpRI4q6w+iwrCDtgyF5CQwXUyR97/7iaGFq4crGSe7LmshhluHMZsmu6DzEgWJo27sUhMoqyANkODw9k6m2cf3BR+LMnjgL7wABrnH4j+OWvo1pKyrcgL6OcpiuIMdA+gCrbUexXvkp5xNzZZ2IivpUOpQCywLLeNo80SwkDOBSReXquMrKIpfAhGKJLZih9HC7NbJOQ3ViqGWT4M+14KwUZCC41X0xwd8/Jfout7i2OCd/oZPaetxeY6/U6b5ncMNtdpTjTfu+8wqf0jK5ZDL2ieJRWjH70loYCOn6DLUurCblORGPcDmN/GmePVQAH9GoDPr2z/pld8LiROmm3XSujHqbwAEIVzQuiksAyQY5kXs36yyHUOQCetSutdk1EtZ/nCrZHB6W0aInoWlromnPOwTCEozLTC8izhfFrhWC2ObUuLbXSiDHLMP8fo87CLvm6vEtUM0ezV/bvCYq0VfZ1WD1BWIjuFLhHmUWkRGbAiK56Tizf2jmXuLMzubhc4nK/peaZ3wYJ/LM4b527kXkW4K0K5UijWrPmxCLu9kuHFO/JS0FUrrMua6ZxBBlfChXWBn+6qVoY5a7DqzdhUkVnMoMqKevTJaOpV3g6IYZwtoX8YDjqOVmL/bqn6gy+ShwAA3bqVGgJOFqO3sNQRbGDyuP0h4RWPCWl0QAbA1olwHknZ4MTBU66Aw0Pt7Qb9IwQDJZoI2wOBlJKjngLDnhfLf8ZVwo95NMQLxEI+NEEawjDiR3oZbwz6Awop3ePcAc4cD1Ul8IQKosk1Ng93Ch10rQ6g7AmscwCu0hReN4Q5TyHY7yYJrLH+fL7zUEHEuHSbzelBKKCyS1f0NhK7Jd/DBK6KCs1vmFaT9goGyqOreCwsiPbsNrUwVMKjLRSZLvoq6wH0/tZ4lHQLUhEMK0inOYXvDlQcn0M8t052cePaS3I+nu+aiojYKKndD5DnfPi6zLNTciHxvWXzVZw4580B6JFoH6YN5/XzPI1pNDMetDHCSqbiZWprv1QsOtzDSrQbHQ5IKG5YoKnwbNkwvhud9ARneoht16RG8XTsZt2iVQoCAHDcwO0S+o3yA0E1hAFx99jLnTCE7n8k/nvyhfE4s3Gpjy8dt3zeYf0WCjlyruIW0D9G75p6Am+up/ua3eXErxeSt2FHfsa1X4vXeOkLFBw0RZcAAIypGHYCDCOpaNv6Bs4cD5UCAHIrn61yqdKdpSKQsvvWaVxAtRzAonRFT2kII43izygEE+yz8WJtaoFwpuWvYKPJte6n+wkVhArLVK38PGQ0c4Mq3dfhAfp41MfclCEoTLlgIs3xVIic1hBm4ZIHJiErFSdmamfNNaTrAUpenBpBnA9WvBCpSGaaCO+wojDPpcU6zYnu8ZgE/P1PHWDxyHOTexDvsknnlf4CyhMpm7KPwcByPUNhCdcU1m6FWlpz/ehRs+JTP+X6MaeNGrxT5xPEA1Cd1UrwQ80b7kc3uW/+rgEVZlWh144E6nInkcExf3+id7cCIZVzrRsslkQMRwYgW8xAons2Kv6/fIFCMFeDCNvVEyx14z/NyiQ6aO4hrJDKXF9w8rRH4OQyNW7ZXA8AhX62V4Ps7yjO310ho6Az0grSU3jIbQxGIqhjJBGHebrLyTvgHMNnYVP4FNrhrj5Nk8cJY4wx3waohA8jBSo5AGtzpBGQx9vrvYHpRShkwqQjmPYsVBK4rASuJYF9MBMrUlfn8hjClDb4rFzA4gEJvRLloc9X5YfBNC8BTCkgUkHQOGnSohO5LMxqBGka366VQiKh43BLK0J5r0lNWuJvjcTxmcNnZgcJFd0nTiDsjuI18G9b34jgceKBKeXFCrvpJ+GdwTuORk6qg2NPgzyMpXsLaE8hIacw+b0G+dRjkhjW+YEzQk7s4WnED4+agtEV6zx0WIyH/k5L3isAk5qfEIzQQ3AouEYFga3NjgGAsJ9aQnIM3u0MAivn+LwNRhTEeJnrABhlBBg2VogientjFMHOEM3x6qBgoByzDmjvUliSlEhzz2FJpDhbahbT3nTYHubPaXbPYEV9iXc/HrdxtW+wQYjhuDr4Qamjh0oBAFAsf22qrLUcl64J57SY+MPSArvMAbR2zBYjn69c7K0bhaK2VcgQAKd2BKsVh9XooEsPZAg2FSU9gAqibAhT4wLi0SjiNx7WTNtE6p7A1W3cYtGpkBbDNu0geHJp/lJpCLPfbuQeEroozYmHLvoqQz81LiCdbOV8iLSIHFsJR3Gi1pkg8711P0I+rlw/kjmzobAZW0la8vtyJvHesNJZNMOE32eEgS1i6llylfshhFzplyNV3aZtpWeQKyUV75eK6anQ5mecEvnT3IEPbpLHiMcUyDTlAeiGMKVQzoAWtG3RDBL7Dwq4wcdJHJ8rsRUVBLOHYicRz3FBllsOAidlzh5jPcKaIDaXiO+rt1JkZcnz8PfiPmyFA0BDwnx4bAt7O/7uCI8/Oo/dT0U5cfwmSmAPBo99KM79E18Xr3/pwwYnlNQVdlEPBEomN0wBrZjV2eM4fir+aweTegeT17F4rZPAn8lhkCoIjQkwnL8pmkX4YGTbjir0GCXeX4FrNknA8oLhRNVmULTBBBHtx6mF+6BCMB5i9Tb9pNagsT6z8oESZkeQ10o/AG1NVtk7z+AC0nDMGhmctDpUjU5YeCfrPUiVLVunrfGCppEwlt3K8bxNx/iFgoAgnLVK4EhQRiEFVQ+gQz8AsPIzsd6ZU4iF8/1+KQp4lwKpQ3C410VE0PZenPfbb7w8TQx3C+yT1yAsn/AiUI/pnvea7cTa7XwDT+6D9nx4DAWSaeH6c6OAxAMQTykdV1JxAGeHhVq1dkShi/KcTfbXRsmgPIuZJInzfhz8OxB7KPM3oLv5rcnISn2/2YgzWM7js2N+JusSFQSzfM73tpIrYCUyX/ZYvxwD7ZaaxARvYchSbx6lkNELS2HwZL4f7g28ekcnMFDYtM/Oc/Eaq6fouY82hY9o99lNi2c/EP82Q9zv3tuDsIZyYnhz3cOt4/ke+eX4DJ99v4GjIrPNI3RdUlLN/dSmcveTJBumrykbD5UC0GygwQAjN4huCst6tBlaB6DS+Qlc1Ezgoj6YxAWkrO22oFx+UA7gPIVg0YqeIo5Kr6RGLldPAodJYZF29TXWn++lRKFo91zw+ip5WConfb4RRgQKVwWPChrI8xRqCJWYTrQS0zj+CCvbuRDOwaNHK9fQ++ttPhiF+smRL6uhxbX5SXb90RvcJ96f3asxaKtDMNItbL2DJ6hiuFYVzaGl6/OjSUglWriUXCSfXVvZjIia06PYbbbyuxC2qTWiQ0BluGmEFZ4lOQc8ylChHpIglnBPzQOYJqBjrmj6ewndrXnUMzeIgtINm9iDb1WNT/wthYiYp8k1ibKFrf3GeaxW3P+X5mODFIIZrvrtrfIG6Ps8tuivsYKgZO1jKfHLRG7DnhL2hP/3HB5audQnmJK88zvA9gZ9Y0QQNy6D5A1mt+laT3rMCQX08ueRcrRJKbC1z7bluEhJYA4LnTyOM8dDpQCAPARUbtNUEK4ICzUuLWP2DpxL1natH8BZ8X69Tbp/KTjoKy0Eq1E8pHBOcrf1Byahn6yKeOo18P61wjEhb8vgqrkV3Xk3ieN2vhGPoxr3F2FrUVJP8LU673DQpgRi3N9NulXV4Iu8rx6tSbj+XiV+y7CQVAQHk3kvfF+3V9E6vLzLbSLTfFjB3l8t8NbDm/Q7GwJWfmfLtTVJ2LJVHnMAo8w5Xn/6DrVSOMsD0CEgeY9K2Mt1VZtOuZbK35TeQAnRjdcKclzJPKvXmOSeKlxErZ1WyjfW46QjQa7CPEztwBxMJ9tk0sq6IyqI2cEmJZMZIeNGhBWtBYJ5em9EKDd8P1sHQ9tY2PeHI8C8RMQdBOokBg80JIg77uB14jDuUWKYcgG7H7M4+RyK89+O81g9HsRrWFDnrtWTHnZD51NcQFxYdu/tJOx7RQVBDj8XhB0/E4SCgttFnoIVkPFQKQDNBhqgYaApqQtEYc+WgqUH4EzAlhaHhnTyx2GU1XtWHYC2TrhZxVk5AB3/LAvBdHyUR40OevC2AiU02fyAByeBS9TOzA3VzlT84a8rvV7rbKAcirETMrQhJI9iIhw0ukiRx9U4/XnoSmCdEObfuNpXF4S5QgBz+GLhhgl76WZsce8khoDeeiMK+LlLiWEOY2xXrdyPcAaF5AExt30tWe5VcVyN/pkV1C5iiEkrxAfSQYvHq1FduSBfKqEwitc6nUe1Elut3TK0pd+nsKdW0G01vivt5S6VB87fkSZ6BAoqCBH2Hhuq59CVwHypvBAsNzLMxsEcUuinY9drFAPN3iWD8zq1+jyaoWcYKNNEfNph/TZ6jgTD7BRX/yIuJxy/KYBJ5oQGejRoqb/A5gbJk43F0ZvoHmhK7ZHB9lr8fX4rbrz0sfj/R28BmI6LQz+vh0rgz+jQbKAslCVmr9xEVgqcFAphiswJwajzJcF6Vh0AJ/x0N7K2SMYCqLrCtUKwasGYQlrwv7V+ANWG76ckgRvV1KNawl/LN5xRdZzBQCuYdyFlU03mE75+LteS0FNg4TROOWlUIZhWng8K/QC58GSlwAJ2p+kkz3O/j4if1dCKQGGoYqPgnYxbn+/06b6Qnk1JwaG9Et1+UcIRlcrmvjhHrX9vWUnM4zz9ADI6k6yyt/AAaG0eD3Uxcdb716HN0rPQ/QC0YcM5OjvjcJydKAAO+5pZouNmKgggCe+G+P29t7BFIdjQObR0DCeDYYOwiY5HNLe9XuoAdj8Vr3VCuHq7shj3KanLBvsMojA4nNNfGYEtV/bSJF2QnsFcRdzcS1xAa8oZLJ41ghxia79ZAcQ3JyRwQgUxein84k9oPuFXzsdDpQCCIowaRpsoX9vcetFUELIt2GkDmUoO4Lx1ALVtmrFTUzsApxeClcdWSeFQTyon4cHJ3Wklqi4IY6y/5tlnYcPbWqsL0ZJSSAyR6Vrpw06x/VqMeNKMXp0jWaoM/dSMoskrmMTRlW+bUUFMWiwOsm2Cr1dkcJoN9FBCP0npCPEbeQCHu2vxlFJxmJ10TrMmTIqu9N889y03tUEKmXEYp6SzLocPp/+mlWl5/3ro3JOQ66n6gakSSY1+EhrJT+pFFhXlFa198p6V51EK+03fTup0WNoalVObqdCrVAIvUk2QdA5jvP5xC0uxfW71iIWXc3OT9/Ggg/QDeDPlFBlJ1Bl49jK2CgZKcX7H+YGDDs2L0RznKl144NqvxGs9/4H47+HvAEdP0y3SbsMuxFBoj5LHwElfDvMwGsitLPwyHjyjPgKvh45gn7Gh2UC9TwK9BgMt6aDPmwNonD9XHYBuCCNdkjQrZqUQbMNx6UohGA/9IeqCsLISuEYFoSGUZUMYva2G9c/ggiocE//NLX/eX7wGOk7TQet4MwuIzZgjeWpQUg2ZZEWpef7PqgTWyeKcWycOFvIsdPSzkarf+7t48/Vbk9+ZLZQ9gGs7J5Nwm+b+XzYJ3cPCnZvW51DXqcVehkdO249HlgNgCGkl+NsVBXFAEt6tGU/lJ6pVeFujaUymikW3hJyQAZqAjr7B2TzxCJVGWze6iXfdChdQagQzY/bOwU2g4etVK4VgW0YLrdN+bE7b3V4SxwMJahOM0EGDOn15CQ/5FHoiiObwSAf3MsVe+BGbgIOPxj9vfz6tyROL2++igwOFb55Rzd43lHu7lBK+j30oxnI+9sfa1BCGk8AEObWDMFBIu8iTx3DmeKgUAIB6RzBV2BX/xYQO+kE5AB7O+HPVAegQFJ9Bh3NqhWDnYQPV86tVAmdeA2+TZOzpVBBDLZ5fQ/Ko5LIOJ9XaOEouoZnSQbNgmdtBKAikDkAhf1jwajikvBNlYdd6ApcEcb1PsNakjP0k9MOCvTWjWNmM/Omf38He489n5/XBSFUwv8OsOIv20wqOf6/h8C2m1rYek2fohpzeGXkuRo9aCKhUHjmRXsXjFOWZcjbzZmrJW1kfqmFNEdLKeYQUmKJCGVGygY5j8sYHAVqoxkGUD2A46NY3sJVKYLebB8LHvVSvwha+cQEjJ3ovcVtHIxLVcpThdoyxjPtDQtyQdT4+HrBHoaKjN3FcyODuO3MvZnbXYEMtIbl/QHfoJZTE1vvm8UG8kU9/aVyfwfoU52fLn9kn9oPwE20v5fucNh4+BSDxeZ/1/QRSDmAY7aTARLeJzOsA8v3iNhJ2Kt5fbtP7te20mKvG/FkLGS0mhGopCVyiLIBp4lUfqwV6mdSr5QwGJDe+BgOVeYZp72DNEKrx4mUVaww9uey6mlH0LF4gcPV0AwAAIABJREFUXQmsG7/zaE3OLz+qxLhuJqNRP0DempETo1z1a69vhckyPTuL2+ud7L70Pnze1TCT69f6/2YJ+VOKu7wKI53lJeTHpL9riVsetTqAdFzIlGt2fqVsdMvH1OmNit7UPes1VHrDACaFkl2NDdSnJHCNC4i7ern9ZAiyhyCMv5r2gb/1XVUIRgrDmCAVvY4I3zgXAKQE8uJ5ygVcDgBBSZnOIXiDY4aBMrXEymHcS0ldIMbzA/3O/Ye7K6MoAyn28gZXfyMe+/wf5GMNhn32FGg9c3P4KwFzUh7cD+ABS+fhUgCRCmKaA+AYYJZILWP7MJM6gGGc5gp67zBjygCwZTdlw+zHKV5eh3PKmH1tWw03XYNrPoj7X+83Ed4PQAFpuCafo0YGN0EmqbiwFjpl7gGYhh5Y2DMPD1DSPUzPoZlBef+ydiA2gM/hlZoLiAd7B0NwQgZ3RI3gr1w6lsQwC8ytb3D7dmyx9NSjsbRyXunCdtzPMkqJ8n56ZcVzJfA0t2EqtSH+3CGgEkKqnyF7KHqNCHtrFpbK17pG/GR5KeTCeeF6hSpKRkzNe6xx//Mz5UJJZ1OYtesL4rehkRAM0z6Mo8V8RuEergRejqonMK2dZY/tfUIpzRIgxHD8ngxJc3eB/nIODZUCLwM0RzmdA3rVJ5j233nWYfV2oh8nYb+5HlLrSPVamfNfuoRtLV76fJo79xC+Y7B5lIyQ58iwUla+ODa0jZFHp42HSgEYtZh1RzCJ2Z+XDrqSA+BF7BQXkI7Flo0pQjB5KAdndwTT286bBNbEaxIOqiBztLtdFmqVlrueb639o4Wy7M5AHA3eYq9ogNJXPJC8Ajm38HR9gRbmHJZhKz4WfU0x/3I/2itQjWgAoEeqLJ6r0A8QBTtXKfM7P1yuJQ/BsfshWNgX4n7LJ3u5l5SsJbd/u8AVoo2uIXcYfjq3A7zJQzq1e9GJ4rKy9zRrvaw58DDy5GrhplqIqiwmy+ek19/UG+WRhwo5VJkMtbZQAN3QSN6kSgbH36z6PhjpIyHDYKQmhnl9ZstemsTwcnfWwzDj5/W4hv1gpeqXR3CpAliSxZQLwGgSZQN5EfZ2C3+ZvCDyJsZ5ui7j9Y/enBK53WU6trNo78ffuUhs9qKR/sC83O2IhCDjS13l/09UEA1BSpc3z0AI4FVQAMaYBYCfAzCn6/2dEMJ3G2OuAPgRAG9CbAjzjbWm8OXQidlQbEvVv6jSQY9jnlxdKMSLQD/NlAvotGIusdrPUQiWMX+ewQZaI+5qKjkI/YEltE6iDR7GXGDGxPSUC6hXgiKeQykg1cu12hRelA2HeKbUz0NI/QXKOoDIhUSVmGwlw6nkLilxhfnXid+yKbw+hkevErNsYTo1jxUJ5UvLiO/eUfQcrLhWwwztm48BJCHmELAWJUsx276R+89oFFRBHRAb0pT1EprQ7rT4/isZOt/AQ7frLGsoGjNiS7EHV2EoTfNMuYvyOcX1nIdqAEzqaroxWfu8/rvRiZEj4VY3Jqj3mCu80Vss5gnpA0DI4YCEBprvdlgdkZJnygajawPoPa1mMEtSKHSt4dKQjrlHNBZXSWHcV3UANA5/2+D2l9J5ORZ/I8FA19QTGC5g9hLRPTwR72Hn4+0kXh87gsXrz2/GOW0vT1FAXIfQnKR+AHOinj55/Oy19Gp4AFsA7w8hHBtjWgA/b4z5SQD/AoD/PYTw540x3wXguwD82bNOpKkgYIGequ1S/08KZ1TooGt1AB5m0g8ASAtQ1wtwtS8LdGMCxmJbDdOtP5IaG2gtCVyiJoBpDFT3pGXB2thxYpXOKknjKgpIwUDP6glcO4eGAU76AWR1ABwzTkpEukkpSGnJ6OmD7gmshRF5dIw4qtQDbH2T8gIFJm7tW0nuXpqxAphyHd3v5rh2kCsAqxBM2lPU70LPEUghmMuzFRrU8Xm+Eu6rFYu9sjqAs8JHFeF+xv6a+judQ4XqCkNC8wjJOUIiN5R8h6Ij55DOrBnlu2PhntXfUKjmeD2XfYQKQtULBeL8N3upElgseRpmY2GpEIyTwXYxIpB82PtE/PfkWtzfrSyGS8kbAIA7707Uz47ZQA8GtM9TI3mmjPDALrGLb5+ie70HnDxJc6FcQH8pdQR78qcjLcn/9y8tpIZgpBaXzDzqm1STwCmqLbeePGW8Gh3BAoBj+t+W/gsAvg7AV9L2HwTwM3iAAgCQaB/6RhZN6gVs6Zomo3QA6nUAkTOotBidFI+VRG2AKkjxNnUkq8Txy4Sv3qZzAWUSWMdb+SPaqA5StXaO9pSwUX6tKQpIb5OQWTCZlV+eV5+j5PLXcfHseoVA6wSNoxO/ZLGZaX0DVB1AjTKBR6uK3TYKVy+hn6Ij2Vp1sDokBaDnysVKt0528czhHZrzFDoqTebnnfIAUggsVRk3aZ5C1VDkAIJVeaE87PN7HdowSZZ8eq7yzopcsa5l6Crhw2ooUYrEpiKmGx0W5C0HWcNTCLOzXmC35TcOKJQcCezFTjdpCm9MSMVZDBcfHBzDTxV1BId7cIdyJdc20mLy5KmU6AViKEbooKlbWNgfYCm0JGygCgZ66w/Qsz62Qu3AFcHHTwcw3+HsHnlFV0e01B3sU1/FXWJS57DUmyD+u73mpf6AG8GcYifIeFVyANQP+JcBvA3AXw4h/KIx5hFuCh9CeN4Y84DeNXlHMB+M5AB4sEJwThUuMRy0kgOwNiXXWMgbc7ZAF8SJKjYrk8A1SKfe/qBK4JJ3RzeFl21Bk7udLuTPSi7rRHINPcLn6MYmYyFN8yKvxKaKWT4+S3jSI+gKNM6i6ZVnEc+1Z7uJxau7VVVj1ko5sGDt1bWkiliFlIBIV8DPX0Np+b5OuCHM8/vYu/7C5PrsyfD97LTdtNl5cHI+fu+t9ejpVZSVyznFxysX/DWvKLWEnKKKXPY869JCr5tehbE0tQPPPTG+EpNuMBMsv0aasbDX/ECiFJA6+82I+kEbY3IO6fQXpE0kN4YJwcDs5JXA/brFfI+SyceE21+OkkFlJM14PUg/AH9IAXeqAxBrXu3fXfLYeY4EMDF1whvceXf+HpcvGhy/mdYkIYnG3dQRTC//678a/+fTX0bfU5fCPC15Ak/8bMw7feQbZ2jinxioIpiVw2njVVEAIYQRwPuMMYcAftQY8+7zHmuM+XYA3w4AzfVLWaN2FuSCEW4Ztpkw97xNt4Tk0Tg/gca1dpzELFtV2avDQ0EtaADS07RRlgsLmJkdxQLk43JK54SeqIVKakngCSTUqDg7C9aKNd8pPDyHr3oVzpAPPvD+6RkxhFM3+95Xln/qvkWxSDtI8pMtZlYijfFybhYSc5O6hGkhdhY/kKaJ0MgdObZQqJz4vd/N8ehObPbOjeK3vsEJzfeFOwfxHJe32KXQEIe7+uBwj6CjbBxcmacEMlvtJ+NcBGuqG/FoC1mbFJebQEhreaFTO4IVdNCtGSWkkxsmaS58jc7XxYFOaPP72m1UvF89X173e0SvrfH95Tekx3LWJ/SPDlFyApnI4F6+H9FYC0UF0S6TgO+JGG5BLR83XYs5cfnz929vt7D7REIoUNJerP2REv2mcxJvdxQyan4nWuLbpzspIusPyDsIBmtq5uKpwby908Ifkpd/V6GAGNVDLSE3j6TE7ZaayLsji+f/IIW0yHvZfc7g6O3x3HufjLfw7Psjd5XtA7qDPAm8/8nXOAmsRwjhrjHmZwB8NYAXjTGPkfX/GICXTjnm+wF8PwAs3vZE4Lh81zeS6a9RQZR00JqgTbeE5HEWF5CuA9Dx/s0ZZHA8GhXvFwusRvegLMcaUVaZBK527lJJYF98ZNqyLQu9gDzEwwKTIZK6SQ0fmyF4pF4hFawtdR1AgUiaKTQIC51LZi37l/HtuZ3y4Y9IXgHXAwBTuoN5pRKalUNjvQh2HXbiqt/u5fhhPfqWW+LlpGfisCIPgRX/wvUTYR2rg6drB6Fu3ffBTSiyfzchIJ17YGXR1OL9OsxXGENVBJlGBBV5piHYSYGb9mhLZJwerR1xf8MKNX2LmnwRgEC/zXxKBRGCyUJKALBZNdgha78nJM+4N06+J2M9AlUKu13KFRwnXigegtG3gKP+AQNDPzsLv5vDQC//lsGtPxTnsniZkrdPeIGcbq/Su95azAgCwyigxcsG68dzgb65ihQ2ovwBJ4+bIyP9AOa3eZ/XOAlsjLkOoCfhvwTwVQD+AoAfB/AtAP48/ftjDzxXEQJi8iZx7YZk7bpCyOfbVFjmDC4ggYiqDkZlHFlv4+HDlOVTx/Z1YnhWITnjobdpniH+rRbvLzl7tDApFUsUtrkHUgvx5N7GNETEo1e1AY2KgZdeCB+nK2drFancESzj+lGIo7IS2AczUQAZF5CK/QOxWreEpg7B4j7REjdXo5V4ebmaxOq3PoXFpKlJpfhL00MkBJEHdzMq8xg1OmxnphXrD2oIn60jsfKnRgMrF1ehFhkreYosj1AoiGG0k3Pob4HXn6v0y9BsoNy6c9R0L4UiMCZ975zv63o36Qns1w3cQTQuJDG822OgUBFUL2BOvjaEwx/vLTDQ30ITcZW8jQChYGAYqHu5xXid1gCFdu68K0hieFzyzQa0xOS5fYQaEn20lWbwrJO319Jz52Kv+2/zUi8g1BHkpeilz0toWOLM8Wp4AI8B+EHKA1gAHwwh/IQx5kMAPmiM+VMAPgngXzzPyTTnPz+eCX2zTbFDTpA2Li0wHTI6iwtIW65l85ezyOBqGP3sQ6gUh+lzsJBnobsaW2VZTZWCbrA9FfIajni2kOf9J0rBJS4eXdQ1ZSi1E8SPrhie1gE0SWGoOHGtIxgP3Zy8tIz70EwqkR0Ctmz5hzxpu9N0ImxZKXRjgztU9Xt5nxrCNN0kR7IZ29QLuLgHPTZjK9t1+8+JRyP1Fa56nrIhTBfc5BwWZoLh1yNHbk2RZuVI3mlCgWlEj3g2lQ5zmaFQhCob46dervETWvduaCa5N+3tc7HXpTYK+LVv4cqewFD9hmlbuxiwvRe9DcOFYN4KnFKGBQxTzm9p3ROxXFg3GHfoedLpD3/H4BZBPVkoj/uDxPnZOocHHv+5uLY//sfpmayBE7L2DVUMD7teis2k1MFC+IE8hXucUE+nJPDmGs41Xg0U0K8B+PzK9lsAPvCKzoXUFN6H02GgmgpCo3y8goYBuWWl+ftrdQAlQZwW/kNhTemOYFqITvIIjcLta6VwRqONWlN4LTxPawgz+Gk1cw2+yPvqofHdNaWTeUMlDFTNU7ei5HNNi8l0km8K+ZRKYPiJkq3nBdI75hiz5vF38izisauhxf3jKByeunaH7nXaanM1tIJM4bWQUT8j7bfXch4oR3zp++Gx9Y3kI+Q5IEws6weNWqFYrRjwrJEK8rzwaGW/i0BP5z1PR7BWFUXWKDFqtChSG6D6AHC83+zSfEarWkfS+ZeDeAoahm1JsJoblDfsbEwEI8mJWAcQz+2oijc8TtffWFEAzBB6+/M8AjeFX6fk8d7HqNr8n0oVvs++n+Y0xvOdPBkS5p+5gB4bpJKXMf/GY9IQhnMBt64GSfqy5f+6SAJ/Jod0BOvaCQy0RgWRWkKazH2M25LFwooihHyh8vlKL8NZnzDKNDe9+EtEkEVq16ghnbUkMI+87eLpQlsngU+rLK1RR+j4bEbnwLFdKdZxirMnhRNEiNA3PHfDpDq0VhxWqwOQOcGqROoU8VM+DyBXDmyN1qgg+F+2+vW8WDnc6xZiZTKtw9wl6msupjvq5hL752fYqjXBCmUzNqLkNEzWFR6Fpos4KDxLfb8PCv3I/TApoEvIqLbiAeiEa+kNZEyhterxwovQhkqtZag2hhhhpa/PoRxpUjQ4zBe5QGe+r+3gZN2xte99QuttyWJvF4PE/nkYA2nZKN/bppUmMYNY+6kOgJO1W2qx6DYGgemdqa1j2B/g7k3Z17ZsjZOMmd8yWD9Ga1xaQiYUkLRb9oZJcuHnFIK+b9FdiRv3PkboMiJ+QzAi+PlV7j33OkoC/17HaR3BeGgL31Ys9qYoJvEKosYfROQCKhaid5PEsA+piCzrToTc+tFJYJlLZm0X4StTp4Muz11DdABTil6dJyiVyMz4SWhDc/zIHEMiKNNhDL4GW8i1pjPWeMzKayj0iCvmCzuqBDK9r1MqgUvIo/49cfS7RAbHeH3VJomFHFcE3zraxZW9Fd1XgrcykoeV1531Em+i2oCk5HXPBxIYY6M8oLwSOe6X5wJiWCxf1854lIayD/aBJHHl0A1sehHuKeFaIxAEkNXP1LzN/Boc5nST36QQ03jpprdLStbDCONoCrOmvNmW9yc0UAgNmnn+7QLJ4JNK4HmHjqCedqYs/P28DgG9lS5i420qLLuyxUiwz/UT9GzovGERJPQzu0MhnoM+NY55mnKLQxLYnLw1IwBSQItnaf09DWH57KlJjF1brB7Jn+H8NtCRQmHsAysYtzHilSxeIi/i8mucBP5MD42kYWXA/zJ3iDWpmbTj2haTUAOjwhaLN8CNHmyYcPyM3maUDkBUCuw1lJZ4LQlcZQNVkMtaEjijg654FKUF3tgwCR+lc42VME5QAthk+8Ztaf8y3KRhoBnzZyEAW5OazgyFclhYxcophWBDhb44feCM+HEmQXjz36c1BKwg2LNgD6APKT9xlyCd6xd3cXj1VnavGiLJUN57d3axuPoy/T5VxvzsNNIs9V9OvQxKz6Ybm+pvKTFO6JZgUWP6ZeUh9QWwsk0a08BUQ0Sp3WiulHSuQaOlamGp0gOIwIQ8zBrhuvn1B/WN8XmNOj2TwR0QZUcIBi0ZXprbi4cwf7pReHkMeRPjaKVJDEM/dTJ4fpPW/ZWU/JUWktRf2C+9hH4S93+KvXviFXLHDp76CLtb8Y1tr4YEsT6kqERvhFa6vxLnsvykE1gpV/uubySaiQ1VTok3szLoqJvawcfjv3fe+VmkAGJHMEYcOLH42UJhAZtTQSQhw0pB9/8ti0+cSbF6HTM8kyBOKmJzIa23AVOY6OCteBs8MrSQEubJah+zffV5dXLtQS0e+TdJPqr9a2Rwi4IfJlNeap5lM5nGjujHPHyi6RJkf0Z7wEPDSgEAylPJC8G42jeFKsrRq0Isjq1rAcveAUMQzX4vXP762XGSmEMX1vlJ+ApIa4HP62y6H36uGc69EKKdn7LM6vFA9E9RCGdVcZz2ADhElUJRLgtRAXlhWAkd9qdwFgnTa8c9kafNjGqJ5141f+F+ym2j8mZFDsIHI9XExyvmMPIC8JCqXgAgT0GSy+tW6gT6NdNmjqI0tiSArTdCJ+2o8Kt9gUJ7b+oE6dNdTd4Bs4fyuPKrBje/gqbBDeCfGoUampvPtHecxPS5IK27BPEydj8d/73/Ng9Hjd+FCoJooYdlEKV09Ax9uw+Q8A+VAsjYQNWCcJXQzrQlpLJwnVrEvLArXEBC3QBMild0QxhwjUCjLOFzsIE2dphY/loB8KhV/eZzPx3Vk2O4KQZ7BgqoOeW3amWx4iWK23RDlmlSuWb5Szc1+v8anw+UxSy/BTtJoDoEVVmbQnq6KE3fqw8mFan1xNNz+SSrCub9uDZgTfsdHq6qaJ2ysDDmRVjhppCFLax8nnfn3cQDsCrcle7fTDDqvC9QT/Jmz7aiSKRSukDy6PWYQqaV4xUyTBsskvNSa6JEK23HBgdNtO6l5samYktTqd3h8/Uc79/bpq6AjN7xFm7BCoAOPGpgqDYgkDXd7I4xEQwA+1QH0KV3yaRxXGELA+nMNTId9HED7NAzJkjpnc+FwECHXX5QwOJFAgm8LV7rTT++wce+Lu5gCF7aHyTIJwvyYBPqx9NH0xLRzvpR1Q+ArmWnyORsPFQKAEC1IxgngbIsfyUHkBBELFhS0khX9TYutzb7UxrCSJk6CX6dBC4Lx4BpIYy2jrQFXlI683Y9dFhGno1WcudAAfmQrDhtpU7I4NSHW4OB8tCIn0yRTArbUoiJvQKG8ukcCFuxrdtOktsxfMMhCkqQmQEjQT3zHgEJpaPH1jc4pqrgJXWa2p9vVIgohUI4RMTv/NruyQTx5JEUID+nyC5av76epzwrf3ZsXzpunVIJzCPRQU89UA9TjdHX6jom+7By8jPZVkP86NxWmecCMKGDHkY7MYYa5+V5txUuIN5fE79tNuQ9qDaRDfcLYZ6gMRWMcVcv6zxGLgQ7oDqEmwsJDfGxI9cBeNVshryN/Y9ZHL2HfifFMhyMCQbKSeMxxftZdn3in9uFX9A6vkf7Xx0wvx3XEXP72DFVHjMc9OmfuAsA+J1v35dnw8tqfhtnjodPAUgy1osXoOkheJR1AE7Hp9WiKusArM4BKNhmKTz7CkGcCHNddawWdQozVcIyupirTAIbX/2w6vxA50cB6TBOoyy7RAOt8d05WmVmU0OWQSdhFf4e4IKpnDNIx7HluEovYKvQQLVK4NqxiYsozYlDG2XCf+sbIXy7tIgKaKfp5b458dgDUhvAa2yvndYGjCpUx7mChWq6w++99w7e8FqZVt9Kk5ZKBXDN8s4KtZDuDYgeAYfKNCeSpnUGgNG31fxJ+bf2BMviQJuBCtI8JTSqq4NVNTiQc/zwPS7cKB4XAy22Q+6xAoCbqbVDVvuCmsJv1jPpCbzhLmCXhhRBUIVjXAgmucQji/4Rul9hCKXk8apJfEA0lfWNlDNoKCwTLo249Cvx+d99DyN/rDSW4Yrg/lJK9DORXB8MmhM696OsHKxQRRx8JM7pk197GM81ePQEEW2PKSx6gjPHQ6UAdA6gH1xqAFNa7EP6JDS8cyjiiLoOIHkPY1ZtLPtWlELJJPqgAq9SKWiccy1vkJfpF/H7SoilsWPWxxeoo4BSTHZq9dUKeLpgJzmFRvEYjaLYQgpzSBJyym46Kiu5xMb7kBKUJaJHzz0niFPhO/EekqBoqS28dHgTzP9cBM/hPLGBusID897h7suRg+aJJ6JJtdN06v0k5Au/C1YAh7N1mqcio2vBYZ78vVoTJhXOp42zir7KLmhx/xQeqimelkMqRQ1Ldg6VSE5IKxWOLda4hj8zgkwXO2rBX17PIsg3zlxAdzcR5zhrU1/fWcEsqq8/rBq4XUocq45gPVNEt8nCD7Nc4faHo1j39nZUROZROtfKYaTkrgjxq71Y+1CgiuOns9Ni8ZLByVvi/c9uUkvIq6PE9oUeYm2xejw/tr0PbKnYrDugeZLh3xxbDNSjYPki5Rs+m5rCayqIUQnUlAOYxqd5aKiY7B+sHKMpldmjkPNrLh4VZir355CUJo+rVQeL92B9NbSTsPbTUI1OvNaSujxqKKCS039mhqwXMP9WqxdIMNBUpCTXJz92brvsGD5vrTqY92nEOk7CMSFeppZwr+iFaxTRHDbSSqQMqbBwPO5n8qx1j1+Jx4/czN4Ba7IsSYjVev5ufSPPZE2exVzleWqhHZ4L00jo5jt6lJDLMdhT4vi+un/8TeWPKjmCBD+dJlxlH2XFa0RQ/C0ppLMMGt0PgL2sxk3pIXTfYGkFy/DOWUg9MhQaiL0BQRKpcI8gg5oR/RERqFGDl7GzABG4jdxBbGcAJ1qW1At4TbBMMyY6aHufkEFXO8yfpYpy6uQVBouBYJ0cFhqXclo44qSDR+L7IW6h3Y822NzIE73rR1JDmO3l3ACwnUm1EXQL4wxnjodKAQDJijdIiSFGA+Wonbi/wEFtUHUAyXIt8wKjt2IJae7/SWLYBBHkgRYqCwf9m1MWvlBRKEx7GdqJeOzcYnwQuVyN72eiMExAV+YgTglFlXxHWdWxSvIlKoBEqJZyGgkNVNYB6EY2zSSp6MSLyBPCFGZRiB8W/KJYg1MU0dO4e4nQ2YyNWP4cJhpDeq4bVfR18GTs18dWbK3lo+b94fdf228IDmMgxAuhi1gB6AS9U8qxTHjrEFfWEa3winQOQCN+ag3iS4FeG1rI13JVPGq0Ezx0H4wEJU6wXj6vtuhZGehtDP9cUP5m27VoiqbwmI8Tz9/aAMuYfFZU2xaWSOCkIcxslEQw4/q5DgCL9ByYeC32+o3buCm8PXEIVHNgqcl8dxjATWQ212k/RQa3IUoIrSiWRJV5/OaAlvoFcPtHzgUM+wGOFMXrhgriMzliCIgEEICesMHcLYiTsf3g0A+cF6C4m/FibWiqaCGS6xvZv0wM68YxnLzqhkaEFieG+ePQbm0tMZzCKD4T/ADF1ssQRC1+X8HmexW/L/lpck6eJGRKQdCo62u+e2ndKGiVJt2HErK1Buy8rfO5AtxxiT9fV+nWCsEmJG8VOOzWt/I3K7GF7bGihOWGqmOZDnrmRlyereiZJE4gnsvNdYRS3DraxZuvxdoAVgCt8ZN7PR7m6fq0TuZumGDetZJhZcjezMxOqa+zY4UTKMF1dQ6Ahe3tLs7dIvVT1uiiUmjXSOi0YuXhlJLgxkn3+2hN77hO1tOiKOrSYzs2UmXNY9l2ON4SCR939vNu0thpTm0gjQHWJ/G9cnHYMFjsULx/tY6/LfY6bFbxb6PCweEaoYD43QxGCsGaj8X7Gd+2Aii8Yy///9y9aaxtyXUe9lXt4Zxzp3ff1O91s9lkcwhJ0WYoJRocyYgUWXZgKHaEwEEESEosQVQQC4gcwYmiH4lj/TEC24LiIHJoK4plGIIjyHEcQUHkGIllIbEGypQpu0lRJMWph9f9hjueYe+qyo9aa9Wq2nXOvSSbDVP15913zj777L3P3mv41re+Rcf7SiQD+JsDQFRO7urFYLF6E11D+kkWLza4ZIiGGD3rew4LGui+fD6ez3M/B3zu3yJ7RjDS+q5DTz0Jm+N0DRx1BbMY3f1fjd/52T9mpIDMqqV7r2Dn+opyAOVQeF4pUicIyBvVG8DUtmkUb0yYRAetGiYjTAGTZwNANDqT4R+VY+K1tZ5AL9uskPfFFYE1LstDWGq9OHWIAAAgAElEQVT00lqhTkMxWtwNYFgiTPbXTmSwNec+ZUO1yJ/f0yJoALDXDNVGsN2dwKkfgI+lVlReF3WRgzapgWojylH5yWV82LtfP8DRn3iRrkVyTiVL5nzoJbLlAecWHtbkRnD0DZylYvGYP4IaWtL3RJnZrHwn166WAUhQkLGAtkOE+rNltrF19kB53zeYZKWj6lgunyu9+sZJ4MQF39E16ZhEC0g5fsf1O8h+y07gbj5gSQyudi/tlwfKj0z1nCcNMGbrGGeke5edw+xB/P/FLcASLMiNXua8RWA5aHIcl8+kRrThkA80UTcv6aWXvqmDn9F3KC0gNuCnb0tQEHf7Hvxe3O/Dr6J6hvOiE8RwkpkmoNn6inIAQF7ItSXXn7F7GwTTT81fmNYFNLSi5v+WjqJR0EY511fv56oaAEeFuhFM5AYqOkLXLQJrKYiSh11XZaT3lBPRxmHSzAXNcGpkX5MO6C3TrMp5ALp/QCJgJSdRawTjVesE1garq8BHbDzXhQNqlRpoylJanA8xfLp4RMyfr77Mah9yXkX2dL6ZYY+Gj6RMwU2yl0H1S6Q6TjLcNfZPowrIcfsweQ9Izu6SshwLL9TYUtIa0CyxqQTIbs6/r0KUQhbgjvGxye7t9L1FwdcEaeLSmXQvjZ/kABquHSS8v2wmBJJzsDZ17DLcMyzb1Ah2SZpJsxGeuoIDzfoNQyMBGj/3F29WEB1z9G/G/d787Q6P/hChATyn92hE/zmaL0ENY3ZjcP5cPFYpIB8lFpDMHHBGdH5YKG7/8xZn76Tvp6RkdZv+f2Hh9qmm9Qk63t9PReAAI9i+bsQaC7zdGKUZRIM32iZN+mJmgTGVuoA36JuQ7W90CT65bg1gF+df0xxrIyGFGWQ42pvOBNZSEPzZPT38pCz42iRolmUFRaYyKKhInAmmzVz5sHkyxEGLsSWGyKTZTDkiea+ZSj/rRrBaJ3BVC0hYRek7JPLn2cVqm6bIbDauxcmGuoKJIXL7xsWkNwDQPRFxu4tNj3Y/j8CtSXIbWvenHNMox6+cXaYZVEblYbf0M9Nb9do1YtIFM8m8dId3+dlIakj1KF6SyTFkGIxSgeVgbKpuahEmWfMwNlh08ZlaUgf2wYwpna3AQZuB76EkD2O1TljRCBbOOoAcgKh3LgYMZ/E7Wh4e/2AOv6BzZOz/gALFjVVjIeOOT96ZtP9FDfRmQBeHzmFDBd3+QYPVfXpOHlF2cCuxgFgLqD23WLNUBO13fQzJSpjhE5QUhKOZAhyb+N9vRWAt98DTgbjrjyMALQetZR8GZeQBYN4nmeeRx9FZP7kRnc8dT3wtsTBqE8H4YZ+poe+c4u4SedP7qb1XY1f0ythMIktFKWS9H35vboYJC6jWiey9VY6Ebk4zFT7TNFA5xjCdB8CGY+W6ScRYawRr7FAdnr6rLsDrKjE4XrzN5djh8UV8im7cjCTqG/NlglSEaWalSCySxS4pn5ZznfNjSvdO2V/Sqv6KL2VpBzDtIt7dRMiLzyUrOPNxV7IJYFoQ1gHNSkmBbIpaFYAJ3q8HN7EWkJkTa8dbgYPOL6im04+SKXAxeHQN+kU06GITxsQMYtlMYxKk09yI32EurRRwPdFGeVpYOGnhueuXovjxOGn/y2yBYITzz4VfuwECBZnM0x+OIVpAI80NWLzSSPG5e0Iw6k2P9pwC2UIKYjgKk6HwO3x+vE673/7SlzHmzQB+BsB9RML0B0MIP2GM+fMAvh/Aq7Tpj4YQfnHnvgoaaKkBJFigN0L11DUAUSNUUtG1GgCvWp1Bvyfds5UovikiVh9MkoDQrJ2iCFzrBN7WxCXHfI2uW/1eTZNFG4AaC6jcn2Yh1WigHLG6kFQmy3PQA2FqmD3kOvls7GPcf6oLJDpoRQpCaQHVxOB4Me5/NsxwQQbl2aciLeOoXycIRuHubGQZxpt3g5wj6w7pqJq/T9dKSkdRYw0ByRnK8YauCs2kGkCFBVSZ/qUZOmWUz+dc6wiusYFif0EOaWXHMqaAiYMhTfXsC4hWl06c4P1msj03fzXzAas1Q4qcvVv5m2Whw+EodFLTqcJw2ddz5IQR29M8AH/A84INAnXkWiq8+psDZp8hwbc7zC6y4iiaM5Ilv500e5b36B5fWbTn2dfHwfLkBN/yf8Q3f+e7F6LxT4Pr0FOGcXnkRciOewM4+9i23ogMYATwwyGE3zTGHAL4kDHmH9B7Px5C+EtfyM6Et2/CBJ9Lks1ezf1VhdwtNQMgRR/GhEkfQM0pWBMSDVU5JSCXorjKKfA5aKewqwhcg4p4+TAdCFNy74GiuFiZUVAqima9Cco5lXLQWQaivm/bsfhgMtiMXysbwWrYdW1wjJaCKBvCgGRcNRuGGTqM+z8838diLxrvQ9Lx32s2E+O48a3MBOZj3+834uxy7f3894xqnJQVCUuNM9VpyKYNva7p1CAgNugn1DClJapFHqXa61Ez8mREfSfZW9pX+rw23LUMoKwVzNsx9UnwzIlg5W/+zVpVS+PnpJYp62yfi7r9AbG6Lnrsk+7PhqUeFiNGkoywLDExNKLjI13C+6kPgE+XRzmHPtmfnoq269tBIJdAjqV72GJ4huZGMF30voNlHSEqIB+90AmWzx3J44EXqelP//EDOg4vCqJM+Tz+eDyoyzcBwwGy4z3+xO4U4I2YCPYSgJfo7zNjzAsA3vRF7UtNBDPGCw+Yb4k03zel6sHygzbKwzFWawBW/q31AZSQkq5BiO6P0gQqawC6EaxWBN5V8AVyw8/fURZLR0yjOA0J1bSA5PgEKkqDXqrDZxQNNEXvuuCb6gEAGaliEpjWEyoVNXPKYTLs0+ugI9uKg+A5wCE1opVicECCfhj3v3iwj+feFknXTGXUKpkikY0kDMeyBof9Woxy6m9Ix5nmGRuU8hi8dCaUsXYK6YYhNDszgPS5qWFvdEDBmVpNPI7h1qFRDoCds4rwt3Rqp/PIDbWeB8DXduOaNMyFoKJe1e3aohgMqGdRSUEEXzi7ZQuw8BsdZj93UecHgLnDEE8jNR/HWUTv4IjBs6HJYVCsIYZ0WJsneJO0/8lOzR8AA03zkh7GJuDw01Q3eD8dZw84mvHbP6HvvDti8XL8yNnzdK6XFuMhSUF8Mm736KvIXmyCMIQWL8fXnryjzuDi9YbWAIwxb0UcD/mrAL4RwA8aY74HwG8gZgmPd34eid0zDm0SgeIagOq05Uc8wT0QzX/dB5D0/ZOB14VeAFkDVZ+xhRhSypk5mvOvG8FKNdBtReC+qCn4YKoYPK9M2qFgAZV9AXp5mKxGAKAQg2N8fqrxovVc9HsTBpFxAPHQ+TrqmkBZhPUmTQSrjYSsaf9rB6FF4Hix4S/hldE3ogbKctBoA270sTmsNuhGX9eSGbbXDhPp5/Lc+Bx03weQIv9t+H85OKb8jnKdrWbyt2RUJInhgp3oItVqAHxMY+bE0t98LKWuT/l3rYBcOq/BN9jv0jB4ANkcb8b7N4opJNRQkoJwPg110Z37EwZf4yVCFghq2cAu6DweUd/AvQGBMhVLFFLzaryu/uYg3eGODDJWjXQTsxro+dt8ooHyTGBnJNpn7aDVvSAQFPP74Q0GknsQFtCnDU7eQ9eMon0eDt+dGqxvxb9vfTQe0ytfO2340+sNcwDGmAMAPw/gh0IIp8aYnwTwY4jkpx8D8JcBfG/lcx8A8AEA6O7eSENgghEaaAn3BOQ4PxAj0lQDSM1hpRZQ107n/wKYOIVhR33gqqLtdYvAOnUu03hgiunX5vqW7KHsc8FnIx7jeTXqu8iIq3PbpQZak4OOD+oUFiqPKQmqBcxEAiJM39+h/R+PP0X+/P0zRR2N30Epu29F5pnrRzfunskIRw1dDUX2cjl2YkR5zZuhcHz576rvGSfXKc9KrpryVXOEOsYrs9xsW2Vzy2K9XqUWkQ9GXtsELuQmp5jYat0ks9D3a6mFpddmbHFIzWFaDI7nCvAoyFPqzZj1gzxPM3IA600r/H6ZFaJmAusVjqb6QQL5UpHVP2UEqy/7AC5vBTRcjL1LXdyf77F5NjoxlmsIh4oGSiJuzYXFhqijXDT2My8zAkQL6NKK3AMPmc8Gwtzhomf8x7eSbOO191G9Y3cC8MY4AGNMh2j8/3YI4e8CQAjhFfX+XwfwC7XPhhA+COCDALB4xzNB0zFFtM3n0URNDtqakPGEAW4OS1EBEI1uTfu/3F8ICY6q4v0VPR+dAvN7X2gRWD9gZWdvTQpCQzsae+fty4JvzRH5gMlntRpoKrhOu5MbqIHyipLK2/DDrieCpQljZLBR0/6vYOWwKDtPM0hFipr0MLlOCrlML+ysq+r8MLTFEeiT1QL7PT3shovg48S46WJ1En5LvwXTHGvHm4TXbLURjJe+Ej05u2k8nzuXGgx4nSXd7zap6+oIPwUtyejW5woUpAY/tVRWjYDtmtTtCwCzPklBsBaQ8zYbGAXEmcBcF5CZAs6iYVVPnuo199IVPN5i7R4rxpV/4+UzXAQwIiXNTKL+CbB5muwJD2m5ETCPTeSJBvrYYPlc/I69T1NA8WYnkg7sKA4+3mL5JoJBSf5hczxlAXE/wnjgk0wEJbQVwlu23ggWkAHwUwBeCCH8FfX601QfAIDvAPDbV+2rnAimsXwgHw5fykG3TZp+xTdOMLpuQPBQsGgC7y/dWOWD0lSi91pkf2V3cFEEbq2fFIEtQhUqqnX2TqLsHQyhrPtYFSjLSV+b0AptTw+R94XxBqZy0EOwEjXz0swXfq+T7/QTuKrWCVyrjwxK40ZrAZVOYU2F4kvXCzXxSKmB6h4GXjwRjB3Gk4sF3no7F1uPTVwh+/516MR51RQ6t7F+gDour6UgeOlflSP0vfmUkcXLByPXUWcUWtZZn4PONuT+aga51jNVIJbGLWX0a88FP1uJQGEmz5juFzCFYzUmRvxAmuXgnUFLGjzrFUlBLDZYPyGJCWLwDEMjNNE1QWV2Nsp4SEPbhctWoBfuA+DMAeuExTNT5/x5J/IQ6khx9vYE/QCx0YtPdUNsHTMY9Kf0GjmKzTFkw1v/Iu7jpT8cxKg7MvJ7VCc4eXcA3048RP7ok9i53ogM4BsBfDeAjxhjPkyv/SiA7zTGvB/Rx/4egB+4akflRDBR9+sSgwdAUvNDzuAZCyqZngfA+LSWfZDvUg4gHwiTU9kWVzSCyedUEXivwoLhVe/6TdF7TQpCPls1ovmDmEkxqAeWjTgX42o0UJ1tMA20UzpC1e8tuo41HZLKBFVtf2SRazJOSSCuUh9gNo4dBRYSMTiXYBy+FgdtErQT/rtLkB1DRTyucHkyx/yp3Ih1ChbhNah7h6mmvXWZICCfT3n+GgIbi56HSyXzWMsAOMhxyrDz0oSEXRlAratb32M1RlCSI08QXAlV+pAaBpOBV+QHJQZXZtKNavDiSWCBpl8FpRDsWZe/cakTmEkYyy5JSLPRn48IxKFvD6lJ7HQm0748fZed0edOWniSfeBuXuw7dJ+Pvwt35IaNRWAa6Ak9T0c+DYyhpq/+UYORmrgMOZvhyKOl5rBHX0XnoFhA7Tm/RhfEmzQshrKC1S3sXG8EC+hXUM9Id3L+t61RCa1ZVeCN76loe8dISM4KLMKkBtA2qQZQg3T4Bh98I/DRrJtGpeVEsNZ4bEJ6KAFkIyF55ZG9KgIXzCAdRWspiKkWUCpeTjtxDXzYjsungudUoromLtdm8gs7YCH6/yqoOQO2cg0rncCay84RqB6rWGoBNQhYF5RQkX1wjYiS6c5VgV5UreCUSNes3dPtDwIVsRPrrMe66CvRk8s425k3g4Czu5q+Ui/FtHaQQ1v6M/F/t/cv5Dq5Ag7UGQCzhKyqh5XHlDPUFLRTwfn5dzwnh7nXDgKbCUFBzQNITKo0H5qh1TGkXh+pLXXb5zCX0jCyFnknsDltgaN8E2sDDBVrLRnYsQV4HkDzgCC3ZwliWxsEknxuH5IW1f6YGrsIu+8eNxjvkYS4zAT26IjeOdB7d37L4JWvJxt0Ss/dscPBR+PfrAXUnqe5wzd/I77Hg9+bpRFY6PiF+NrZW+uXhNdXVCdw0KJXeiJYOf2r2T0SkpfT0Sk3jpmAUqxKdwcLbU4NhKkpdZpK9H6drACYFoF9SPrtmeEXA8n7CyqjaeWz8n07MgYdnZcCbdVzrDQQxcwnLz77kLpjtfPkY6w1gu3qBK5JQdSZQQmqkqIvQT8M57TWi+GvSz1wFGvx2gXNa6VLdvPwMqu9AKDZvSY7Ng1/MXx0u78AAzRdUSyOWQQ90JnGD71G33U6LlBbAj1RllNKMcvxhny/u1YNKiz/5qWNPK+SwVabOdE1TqRVNAmjFGFkqvXorBR8hQ5uU83ANimLaGe50wit6vVpGQKGGHu5NoejoA79KcN4tMksXRPG7h1SYxfTQI8/CrxGA1xknjCAe78ej/1z3x7//+BrLDzRUPdeJQdwAzLbl49t72WDk5vxpZO30ffyKMkzI2MluRHM99sDDOArzAEAicGjJ4LZouu3VgOImuqQzwJ5HwAvFwwafhjpu4wq4MqDaKfRRm34i7xXgScsppooGb9f8fFLuiafp35tG6YPbONqT4vL8fWpoyqbuEafhnp0KqMou0at8ZObTIvD1RrBOCvRmj1lBqClINjoNghARQtIxOBcDgXttYMaxJLYI2lAezryk9ci5+72vQjUHs5WiQW0g7izdm2iEwuFMf3GCcvfTtfQBX++/6Jsd70QDgBP7aW20vL39MEkETylRiqF5uLeLafG8arNFS57XSySBMpccf7nPKdXGuJGaV7bo+L6cuikWCx0UPX8M4yzVlLu/Gw3TBsdWpkPvKGagTkaMCrNf4AawShTGAfuLB7h6e/ls3kfQNhzAME4m1vkRAYraqCGoKWH7w+JBnpMv9do8PI30HM/0PU6dDKjYHmPnueVjTMGkLSALu9BhsYzFMS4/3AYRIRuSU5HKKVb1leUAzBIioHOW6nql3LQOnLQzWFS/K3UAPRkotK4azE4rf2/KaR8Be5RnH/tFKRAxu8Fi96kz/B2uzqB5ZjUQ91rvaEt9M/WOsGgRUOoGSfdl6Nv0mfZUYWKxpAJkz6AUcsuqOYrrbQJJCy8NX5nI9gMqXNXDL8SUZsOhXewlcEpHPHzcQgLqfOiC6S/l7fnQfCDb9AsUrMXANyZXybIS9nXdJ3i/s7HGQ7atexHronN5/Qm+CXVNnjVdI/Oxnm9yQvJGQPxPig/CyTHoxk62+oBtUK1zkp5xcBnGlCUrLroiHN6yrwd8RrP+6XoehgbzImtw30NCx7a4q04itcexXD38GiJ82Uq/gLA8mKGw6M473lN3b/9YsD6pRhat3fje+PJDJZF4E5IFO7WCo7UQht6r/1kdFKb5zYyJtIfk/LrS710/VrC5/3xiJu/Gvf3+P3Uj/Jyi/U9kg3/LA19f9ahfUyZ6v24v+OPdDilAvLBp+J7Z2/3mD+g7PI2U1Pj/y/e4rB4kbJrqgXc+WfYub6iHEAGAalOXF/cYPlEMML4TUg8ZAUF8UMpXYW6+Uhr/1dqAMlAb8fstbInG09XyRSuKgJrWQZ+bVpwTUZR0z/Te1dnDDo95+1WfjpAJKerNtm1BBSrx6h5AK5gAzXTRrABTYJxRKt/mr1oI6mlILjdUjeElWJwHPXregtfikGd6xk5gIt1j9s3IrjLtM3I+afrGPR1pNoH/U6XYycwU6cgozRLYkf6UFls9Hs7SgbQKDvM1+W4j4ZN17n0SvOJU/YkvROFE+lUHSENH0r71MXgRt2z6ZhzR1E6BD4eU9yXersal18gXfrHmCBsHVH+vGwRDuN/hDTSeGxKZGRIfUUt6em4m9M+AK2uydG1Zyj4MjWUMqffm4CztyA/Tpf4+VL4HdIAeHaN588lzSBh/ZoghV5WHJ0RGe3izSkr4HkA58VM4XJ9RTkAIIeA+Adlm6nVBNOYyPh/YwMauujSmOSsUvmcRizCPNAQiDLitQYsIMc/r6oB7NL4qYls6fcmTsNoPB7ZOWjjWx3IoiJBPUWM3xMdF5lf4BRWr3V58oKv3neJBUfjxNhqmggmIn8aA681QInhT4a1HJISHXUymvwdfN3SUBOuSzTC+HlyEaO94cU9PPu+z2bnr6NiPX6RIbCWYacxjYnUuj+tKlLr1cBnc4/53Mvo/GRYiDNwvAujMgDOIjGlV8ZjKIy8dakgXEBLsY6SWD16/3EfU4Oua1WltlT5Ny9+fmtTxASXV89QKQURghFUQD5mp4KPAETlUyaCdan2t6n0Ach0QGIFGZcGs7ABWj7jADLKIiznDcZjLhxTIHScDDsXdPvXFAuIWEVuz2P2Kt1H1DlsN1a+98YL8b2LZ+N7zcoK5r/3u+QA3jw59Wx9RTkArQbqvRUj3xUsnFwOOn62MWkmLsNItfGPg2/EGTQscqX7ACo1AMHqr6gBlJxmXQPIIv8C7x+dVbCMjqyNfCK+5rZKQeTDWqZ4O69WRXEbdV41wz6pM1g3wY9H30wi/4xKygwa5ZR0ATd9Fz0UqhOYH+s8Q+AIPGUCpaPQQ2BKB7RyHU4o8t88oqrd3OOAZAo0pFYupzIwhrvW6txF9wle/RbbMwBXMbJOObNdGcBhu8K25ZBYVRoC4qyFu7iz4TNMNJBu6iQjMqh9pBpFckQMjeoMtCYH3RfbdW3SAtJS77wPfma5FqALw2wbmr0RoyoSA5E00pJEtBNtH5eyhyPqA1i2CKwPRNtZbiA760Tlkw079kfMPxGhKlEDvWgAqgv0r9A9cdclpg9pEd34hMXD99F1IIbQ+qkRB5+Jrz3+g3F/i5csLp6na0EF4pGYP/0TI/WDDUtIbC8tAfgKcwBAIc9QzAEQKYig5aBTDcCpmweo9whYOx1MofsApDBsVMcwMxRquvxbsgFe1SJwkW1kxdrK6EiZ/6sNpqoz8DYTyqnSAqpNBstYQDtooHwdu8xgJ8MqVE+RSUjRJxtKhmVmdpzIPFzVCawdmkT+YQpHzQpISV97jvrPhx6PLmMoZgj3PzhaYa/JZyJHyCS/n0YFHzEPXUNgWjV199xfVdQuzoXX6RUZgOyrUj+odVED9WIxkBeFded4SQzQ+8gYP0UTY6NqZEK5Vo5CNH6UGuiMB79T3c0oh8U6Qat1h7bN99HNRqxpdnDDxtxZsR0jY/xzJ8Pg2TmEl2dwd6hTm3R/LDkHXFo4MuyW+P04GMCXmtVAFy82WL6DbAYnjTbg+KPxz9f+cNzu8VepwS4E32ycUfCRQjtYP6iQghgOgGbNBWL6qt9PIyGDimLReDHa/K+McKzQQIMJk+lX+n1esX4whWU0HMSfkzF1bUEHNNdrBNv4ZjISEsgNP+9vVxHYKuNdyi7o4fC1iWClFhAwlYVo7XT840YZAD0nN/UdpH1si5o3yjmULJ/4WYrm1d+1TmBeDrauBVSBbXj/bMRPSQ76ZLXA2UmEfo6Oo/D6zcVyUiy3xsMLS2haBNfQCp8bO4BGZQC7xjRmGYCCdACuwWzPANihNsZPisUOVslMJCO/pO/dlwAk1QRSvYuaBEOboELl4NM9Q8ybsRFnwF3XnXWSGbFD2bgm/c29Fo3L+gQA4HQZs7J5P0hdYEbEjAs3w4I6oDeX1BG92GC9zKP3YdlhcUgZEg993x/gqIBsD0h2og9S4J+9wk1c5ByUT+2o4Lt5ymB9l4kBdH07IAhbiHEsg9O3m+z7xwMPS5nE8j79rhcWI80nbkg+evVUkMlh3O0rMhE3PRav0N/Uo3DwUr2wz2urAzDG/Gc7PxnXRQjhf7zGdq/L0mqgrjIRTOP4Exqo9TCNyd7TNYC2ogWkDXo59MV5XT8oo+M0gF5PCxM1UOEqT6c/VbnVugisos4yeveqsYpX7pTyffRKd0crgJbF4hZaDTQ5kZIGCiQ4IJtFXPQB6HMpJaW3NYKl80mOQjOC4nc31SlhunksnquVY2U1UKYgPjzZR0eR/41FNBKH/VrqB3qSV8rA4tLZDjeMLbpULNbCb9fJAHj5kCaI8bFv/DQr0EuPodw20zf7P/yk2zjBOUF9LjmOsuekbfwkK9VBBg+E6RuHC2qs69RcX+6k50y+b31qtiSJB6ZomtmAJen7z6k5zDvVCTym558ja1lnLUA8eb61QsCEzsvD3gGI4ibLRWDPyfjHDdE7w2iFSsoZw/oph+aCggJSCm3OLTakDNqcUcH5yMGecp0h7mPvUy3OqQFswcPh3+kxZ7loKgzvk6DO5k6QecLS/XwFx2BXBvDnAPwk6l28vP5jAG+YAwAStFEzwLyyjmCZH5AgIF0DkJZ01XXJWkBGOY+yBmAUk0O+t1KgyrsobfZdtSKw7pLUeH6NVdQWx66DyTLq9sFkzoO3sQXMoI2yLgaXcsi6WKydw2T+r3WTB0t3GDNDJqstFFO9GuMmGULeCdzK9rqhiv/1JjdKLAan1UBPSGVy/uE9HH1LfNpkIEybGtE0a0nwfbKbK9fJ78RNX7fmy+rchF0dwKUmT00TaOV2J++6K3uX3IM+nqFwKqkhzasMTOv+EK9/oGvXDJMhQT5UBsI0Y6aMCkQJd5aD1k6En/dq341w8umFLdeUKbzpZEOaC841A2cR5hxc0vXvHTx9B0tCsGHHzMOc031HtQB71iJQhsC8/XA04tavxXvh1T9EUORjg8u3xM/MPxP3cbFvZNLXQNz/5f1kyHXfXykFMSgm0XhI2SZRQ3k05La16y76WyGEv7Drw8aY/V3vv94rIGnwWxOAQshtdOlGt2L4A22TCkO7agBaC4iN6Nq3E33/TI20+Fcbdtm/rl0oPL/8rDVTjZ/RpyKwNqxaAiIevDYsebSdReQKMip7Dnjf+jMjmkzbBSA10EIyYQiqWG1SdsA6+Bth2uiBMLk8hC5M8284s0MV+klaQEb+LaUgtIXL5PkAACAASURBVBYQL3Z2K9eJZAHfJ6v3X+K5eaRQ8kAYLfPMS2dbLV07PYd3JeMiT1MGpJzcNhwemHbveqQ6Qpn1bFtVTSW1atBTCT3umhIGQDGo0nYlpJdRbWUf0277jZJ40cOXykCKCR9AonXy9WoqQ+G9t+ioE9jJYPdRdIQs1QX80KSmsBVlNIshDpRBciLti9wHsBadnpGmj935kMGr30zPKVFEnQ148u74tTVjvnyGAotLKwNjuIlsPHToH1ImQfBRs0osoOMPx+0ev4ueuXMrA+X3XwzZe9vWVgcQQvjPd37ymtu83ktP8OJ0zBkuRpIxqVA6dR+AVhYso57OJmaQln3gpSORcnTkTOH5tUawWhG21PjJOnIrncC1jl4GIVqTtIU2gsFXCskqYvch/y7NAuL3NlnPwxTP1xH7FNLRPQypixiIkaBEuQxxmLqxkshfdQKnc0ufmfYQBLDgsnQEk0M4H2aCMd/cj0Z/mG9EGK6cJJYdJ4w0tPE1P9vMpFGMjdhCSUtLEdp4ANPz5JUKzZDvKtfF0E9eq61aAV0v6UhWOD+vL2QWMC8x5J3+TEkrDZO5B6ObsuRCMBMVUC4Gh5C6fTWBQ+qB5ACGsRGbMVIncDcfMZBCKA+A92cd7BHRSR+RWVwMCUphaQn+UQLgqdDLp//wfZBBMLK8wXhMwQtRRIcjL9g/F5KPf7vF+Zvptzgj23HscOuFeOwPvp4O6UWLi7fH7VgKgo+jOzcSBJ8+T8e9PdEEcI0isDHmPwXw0wDOAPwNxIlePxJC+KWrPvt6L6OaRZyzksaxGqh2DhLt6/GONi8aD2MjUWY2OaxIT20lEhl0d7DqAAYIbtnB+eeHRI+ErDXO6Hb6aUbRTKLtvNCbQzatklOQ71HRmXYO5TwCLQbXq/GIZR9AlGyA/C3HWuDWsq/KRLAxNIkjX2Em6QawXVIQSTsoZTm8PeP+58qIHs+WcoxaGE72UdBqR+MFhuEs5mLTiwPgYKS3o3xmV9SvG9ycwC27mq7S/dAoA8yfndvpTIMav1537k5ZQCk40cXi8rN6/2PFKaft02e1dDuQq4FKZhGS3pZM8aPPrYZW6J8rAsO71mFNkX0ncs8dDg5iLYeZWf3MwdEgFkNsGTgj1pINta/0D2yItonRwnMfADdrHY9oX6WZ1PzeZSOzhvvPEdX4GYee+P0bkphY3UrMocNPxu89OQIevZeOwaeiMktQDFTotSuuRQSZFcA1i/lrX2QGoNb3hhB+whjzxwDcBfCnER3CG+4AgITfB6BC9aQfQg2IyWsAeRG4bXylBpC0gDTcw6uWDUwnYyXtoGoRmI0yPEpqqO7Y5aWzh1oROKszlFh9xgLKU3tvAsrJUI1J9MbqYHflHGQilBLSm/Qw+GYiTFcfCEP9APATaeSrOoHTdfJKZTNlOaUKKEs9uGAFd2ZZ7tb7yZAcq66JSEr7VrIHduIX6x72kIp2tL+sBqEKs7smf/G1mFPuUqOBXmyS83KaS29KplO9Eew6Hcg1eLC2qhpUWdNXnuUCmExTa6xXaqApkOPrxEJx+lkX+ifLP/RD1PQBMCPYx69ahP38+I0JCbenQwozL/W94TY1bm0aKRJLUZn7AE56Mew8A8AcDpi/Fu+Jc4rS5y81WL1tKhly8Ln476M3kfG+lcZUnj/Hht1iPEiMICAOnm/PKfBZkP1h6edDjzl1Ma+pGPzUb8b7+1+gvq7jAPjq/XEAPx1C+C0a8vKGr4kUBOOhMqUrQTxNUQNwwch2JfMHyGsAlrBfkX0IzeQGvKoRrDYRrNQ7r+n862ib/x19vQg8ZRBNO0YzSKnsyMWYhNyUA6yJwZUFZ+0cyjGI+nzWPnXCtoXD1Mc7soNp1pOJYLqv4ioF0DLudTCiAsoOgM9/1owC92iOPp/HgETpZIZMGgrfCM6/cuQ8muTQ2aF01mMIXEBO8FUpxaAdWhJ+ywMGvZ02ulkGgDx7uGrtKkbvUgrVQUm1v6UyN0Bvx9RN5vX3Sg2Unx0tBrckwbfDeSpCz/meFPmHgElpY0x1Qw0nWdIU8rrgS4XbZo9gpoczgDuGiVbaHFKR99xipPfaU7pPbmxw+SzX49izQNhCaxKNMxuDk3fQ++Q8Qu9hTxMjCAD2P9Hi4rn4maMX4+ZP3h3Qn5CTncV/9x7Qru5DRkiyQunLX0+BwpZw/ToO4EPGmF8C8DyA/9IYc4gJr+ONW1oKglM07vDrVEYg6p0agxcZhbTKGkDWB8DQgWtEUkIbdr5hAxeoKpr21TZ8JedQi5jKB2r0quCI9P3loPZRndkU7zeTrCArqIZdhn36MHuYibSC7uzV0eMUZkpZBG+/T4JpnXGZlj/vo5RH0Menp3Alo00wn2+FraOLzwBw0G0E7rGFI9TnCqSsQQrZCgJkyuf+bJNqJEIr9gmOEqOfVhK0S06RHdWNNsJSl76fROwu2NQIpqxeR3vXuD87r5omUGI3aSe/HcbhpR2Qvl9LVpuGj+R4fNKbYt2bWTPijKih+zL1z2bqn3qFkLJ7q4bE2DaRPuKOnXQC82E4nzqGN5fUJDYbpeDbUR+AX1qMN+gcH9PwGXIAvk/Ohn+a4E0aEkOOZXXPwRINlFlG7eNWponNOGK/N0okP5IRd3tp39zZCxOEBdQRbXR5h859Y0Ua+gZJQZw9h53rOg7g+wC8H8AnQwiXxpjbiDDQtZYx5s0AfgbAfUTH8UGClG4B+DsA3oo4EezfDyE83rmvbVIQFSio1gfANYCkCprkoEVZVDEUdAQ0mSWguP62qAFouEdHP2Wru9Zp0UXgsriW6farxq2ysatv9ICZZFB4m5LeqdNwryCOSX+BsSilf6OS59ThVfsACmckNQEllcyZiG6c4lUrZGopiNrSBV82qOzsRYG0nTaHbdTfCU5rpODL9ZuLoc8gHQDY6zaTnofOOKzZUamMsoSA8gxgGvmX52VMSI1g6tqwA5wrKKgUDdSrNs+3XPrYtBw1r15pK6V5AAk+mwyECTbrFAYiZMbPpSU9m9E1sIZnAfMzm2oGvJjl471F26e/AaDfH7C5IPVZbgRbt+h5RgBF4HYRpBOYewR4WpdenCX4QycSEMy8CatWaKWGagzhcMTxr0cn8+hr6Lk7T0Ze1mDFQXHheX07zf/NWEAH1CfwMSIzkJHvHxmsaB7BirSDdpL4cQ0HEELwxpi3AvguE0PjXwkh/K9XfU6tEcAPhxB+k7KHDxlj/gGA/wjAPwwh/EVjzI8A+BEA/8XOY4GBngOsx8MBOf+fDXsN5pFGky6l7CkCTlLSjN/Hz3ABOT2A/H6JZ+pGsEbBOewUBkV542JYVkAuO4ERKlmBLgInaCV16uZwh+4bSIYrSSfo72I2U4qcU7TLEXNvXeW8G5R9ADNVNNaGn/9/QHLMM9HJScVINmaKUJJJP5fZlYPFmmQTeWj6OnRynWZFxrI2PtMF4u+XAfD8mgt4dbkv7wPAg7MDPHV4nl2nu4sL+S0WTRoxuavZr3RssZktrzcsXaeK5WTYmqlx0iv1EEzho3y7dGz8G7giKx1DMxF0axQslzp9OzkuKZA3TortXCtZDS3ms5Q1AvH+L1l6uv+GA7QN6/1bL70Ec2IGrTadPE9Lkn7eW2yweRj7FFjawz/pAZJjFozfGykIML3UHm3gySmM9+LvaZ4QbfjGgOYBjX8kuYh7/3eHB99CwQ5JMrgbwJN3M/RDWcFdD5AjWT0dj+Pmh1ucUt2gowljm7sj5lQQvnhLPM7bvwW8SpPDTglGYrRvOITUB1gmYu/zX2IR2BjzPwB4B4CfpZd+wBjzR0IIf+aqzwIADX5/if4+M8a8AOBNAP4kgG+mzf4mgP8HVzgAIGf6jOyN6RwpwM+MvqaB8pLU0Sj1yJpEs2ocYqchQnE7agD6/VoNQM7F+szw8z5KSqjuBBbjYTSUUzmWCY7vJun5qOQc0r/18yrx+9rkMC04p4fe8CplKlrjleFXv1lRyNUa/1lDmMkdpR7+IgwhlfmIA2BDB1OFfjhTWKl5D08uI3l7fxYNweqyx+xmLg+x12zkvHcPe59G+9oplB25OpuqUTr1L10yiLQYXq0wK/0VmBICdKBQfk476k45AL4/LqnuMsc4GQhTwq7y/UVfT9skKLcX9g9Rb62XjEGmhA2NOAOvqKGYF87SJKKImRFktmmAGWVoq0QXdZQ9NFQzmL8cjf7lDaTomv597f2Q4S+BspgwGBkS09NYyeHYoWWq51Nxv5f3AZ76NXtE0PNNg8s30XNJqenjd5nEUqLvmL2WHMvei+RYaCDM7AQ713UgoH8TwB8IVGE1xvxNAB+5xucmizKJrwbwqwDukXNACOElY0y1Z80Y8wEAHwCA7u4Ned05Kz9yU9BAgzLYfIMbG9J8UbI1Phip/NcikVK/H6gzgsoagDbYvPT/d9UAcn2eZLAnzWbGT4x3dDJTqIa3Kfn4tpk+9EC9HlDi9xk1sUIN1PstaaC8+naU7bTEgOxXOoFTv0CnKKJsSNigDqGZ6Bg1JkwMf4JOFHSlnBPDB9zYNQaL04cxA5jfj/vo52OacNU02f4BSPGSj0FfmywDKBz1EJpMQRQAlr6bwDPH82XC6tXrverUjf9Oh8JvW9OGrcrxVvSJ8nqAm3ymbPrS4op68TXTnfIpW6fBMNSxvZhtsKHCMBeUg2L/ZV3xzNzh1/acdBGzQNx42aLhAvPjWIsIszH1AZDtkJGPQclB8z83RnSvkJGnQm5z0cCTHDTr9g83gSPC6B+RoR5upF/x8lkKMi8Tps8aP6unvBj89W1iGj2Mn1vdS/UBridcPI2d6zoO4GMAngPwafr/mwFcMWdmuowxBwB+HsAPhRBOr0skCiF8EMAHAWDxjmeCGF0ATcuNX3nk4LyZYIV6JKQ0i4QgN5a+icsb1pqQ8DnVpPKF1ACidEKFLVEY9loGoovAveL8l/vQweEu56Af3JIFpAfdZGJwBdzjQ5oIxYXH1jhYLSGMHBZiB8AMGT0NrGS+APlc37IRTC/dD1DCHK1x0lHVFrTSJZKT0V3K/NudE5dOZ5R8Xkd7K4E+uGO4t6OC0nLcH0DVEKc6T3qPf+tapMz7WI2tfIfe6ybkk8aG0IoDzOGgPPDxUIPimcKs2Fp2gu176bDWRr/Ue6oVgYMKaHS9i6ftMUTaNU7orjyIh7t5zRwYNtywFf8xJmH/3E/onE2jI1dxX91iwEBGvrsZIUizsjAkqdDTZK7xlhU2j8weOVSSEJxZUNRvDge0lDEMNLf33q8AL/3R+Pcldf1iNDh9O9J+EAvELTWgjZRZHn+kxZP30H20pGtnAwaiGnMn8obiYruxwv+/9RGCiZ7HznUdB3AbwAvGmF+j/38tgP/PGPP3ASCE8Ceu2oExpkM0/n87hPB36eVXjDFPU/T/NIAHV+2npIFyqqwNP692hxw0b2+1nIHS0yn7ADR9TBxQqMAdythOmslqlM9gZZpUrQg8Kiy4ZNLE/RTfoTRzyh/WK5mGshgM5LjvRHYCFc2iYCeOqjN+QsMclGQCb9dLR6wuHtNDHxJUpfsAyug0yhwnDaDyepT70H9rhyFMHjUuk9koF+toMEbX4Oh2HNfE98ShKviKnAWSsdOjHssBK9rYS68BUoG4rKOcDXPc7C9kf0AcSbkrA8iuVaGtVFsWQSLwiU6PzvaUAF6N31/rLyizF2PCJBscvZ2ogTaqziFZs4JvA32VSEG0LknF0PM/jI1ARMLkazzGdaolAgDaIMZ+w4qeQ4NAsIwn1QFDGYN91MHNOconm3AjYPUUHRTt69WvttL1K2JwFxYjFXL7RxR43B3BIxwG+s7zZwFL38vyzsYZuP24n9v/JL736D2UJT0xsb6A2Fh2nXUdB/BfXW9X9UU9Az8F4IUQwl9Rb/19AP8hgL9I//5vV+4LiV8/Oiudffw8USa+FabhHzs5h/TA1moArSqkJcnpVAMo29TLqF8fS8ZlV99Vg3tqReAaX3vCIFLbbQrOP78PYBLNx2NPEEgm5IZYtNWR37b96UasJPugCt5NbjDjOVSuWcEaqun/xL8pa1E0R47utQPYBseNPhVcuVA5eosnpAy6PI+OwD6Y4fhffSk7tr12kPtDT0nTQci2pTF1DV/xOUgGEKbXnO/Xy7G7VgYAQGUAFNgocTc9QSyNgswj+9E38jdH5307TupMeulstxwI0zVO6gL8DA2uke2kuIsw1e9SHcQM33AtoG0dhoGdR3xvvezQH+UQkbUenpqopGl07hAY7qH5v3jUA6wISsJv9hYVg0dVlyLdn2G0wEHeHDbcdOhfpaLuPZ4d3MDRWEf+ac3GSkFatIBuOCw+T2w2gnv6JxZrgiFPSFKanVQwRhzG+k5eT9i2rsMC+kdXbXPF+kYA3w3gI8aYD9NrP4po+P8XY8z3AfgMgD91nZ1pfn+K5PNoH0gwz64agPMGJRTVmGkfgPNa5Cx9l6ZzAoVBrhh2zf4BcnmIWhGYl3ZKuxqxMpy/dCJmOn8YwIRxos9RZyACB8mxOzEKia+f8OahEo2XdFAX0sDymlSy5veXImgOlUEnxk+Kz02lYU5TRDkSZTnoEICTxxELYE65u7MRZVC+JnvtZuIoc5kEJhCkY3TqN3HioPNzGEIzcVjnwww3+8tsH0d9feLXrg7jqxZfd6atskVaBosZ8toCgEm9KX7/NFMtiQ6ddUksj+DAlWsFy6/NDOY16xOez86AmUGzbsSKdPO7LjVwuQPaH/08IRhYZgRxI1jnJcrvqRHMrWdwdD5zlm6gSNwdOgTafiDNfqxSIdmSXIPfd9hjuWaqco4HQcbY8vyA+SsNhn26Z1nO4dhhTnWDNXH9Dz4DrO+Sw+HZwCQFMRx7ga+4FnDwuWngqNeueQC/EEL49l0fvs42IYRfwXY26rfuPLrK0hFWI/o9CZefbKP4/ZMagJ3WAIzBpA8ghHRj67kAZRG4JganH5hST2hbEbjssBxV0ewqg671e/TqlcGWbTULSDWH2cIA6H31Cu/uCmPjYCZ9ANYEgXzKArK+NsLuMX4yElLPxK11AvPSUW8+TjK//dhwXY690BUfn0WjH0L6/fdJIK498lK3YIehabA2cCTuUVPZlOOoQDEl3KLZYnVZhd1wjsAhcu00tr+9BuBU5icSH0WnLZBnlLV7cjISUtUFpI7VOJzR2E12AJuxAQp9O48kBpd6XZgN1IozODuLznsxGyTKl6HwRnX5K10h7h1Yn1It4GADR92+sp3qA+Au3kBSE9hzsKcEQRLLZ/Zih81zlCEM/JsFnL6T7NSKJRyCDI0PB1wgboTrf+ufxfcefi1wSvMAmFZ68g5MWUAkC708SveeoSTm/JkvPgP4Jsb5tywD4Kt27v11XgFGNWSl6VelKqeWdNZy0LUaQKPeB4g2OJF+nhaIfUiF5qYoAgPJaMo2dqr7w/vR/27jjZedwJrWqTnaNRmHuF8/MR6tdYqtox/sEsaZ0kB1tKt7CUote80XF+ekonkZKsO9F1skDK5j+KOQ3fSGL7OHJfUInI+96PkMNBqwe6nH0XtjPyJTPmfNmPTtGeNXzrR0hHrVGD8Oqc4itQ820kjZJmP8l2M3GQ+ZSUtXCBW67iBGvsqwYty/mdx3WqivNhBol/CbFINhxGhvhuQ8+XmTTEmRD+R4fRKDG1VhGACWm04UX72WgS+GvzR7g6iAsqLnuGmkEUzm+R4knr4QSBYjAtsMgoLMGZnM4w0airwDi7I5IPA+OOkYrdBAZy9SM+Fdh9kDykKp6ezsrem4n7yL9rdsRO9n8VLcfnnfY/4qRflUaJ5R++zyvpHIf/4q3V+H2Ll2OYA/ufuj8Riusc3rtrQaqPcNHDeFCBuILlxFCkL3AegaQDL86SYu9X58SA1orFXfWJ+2K5gPOsWv6f6IVHSwmbQDr1rBtXxPwz1l0VZ/X61orGsLyZCnBzw1kyXWEBvqugx0ciyJrllzduxYOEpMUXSrjXhFXO+qiB9AJv3Ma/CtwCwcbV/QDIDT9VxgudlhhHjWAXh6L0b+fGwHusPX83V1aWTiFcJuJbumBqOU+LdeS6Vayk6hv2rYq1paZiIeb6jLQhTnURavt60adTexwOyEGVQLhHhb/f7gUsc092QczOLv5HwKBi1j4CFRwkUlYD5ifRKzDZZ42Fx0AHcC82e9jYVgQATlbOcTXZQoov3D+FusjyEUTV6rp0eZ8OUZCrpoEG4QMkADXzZBUTcpQvcLL2MfHQnAHXyiwfnb6DBZM8NWpCDugfZvMFKBuKPjGA6wc+2aB/ClYv9fluV0eszGUBl+IJeC0DUAhoyc7gi2+YOgawD6O/mBEcaHwu9lIE1t6IvaV80AlDCOFn7Ltiv0ZOL7+bFrFpCdfFdl1KNiQXF0OIYpR7tX2YZcEx3tCzPDS9duTQ6a4Rbe19wMYshqA0y8iK3oAmb6LkzO3wvOm2oRiVfP3b48Bexi00t0yvMALlqHGwW+Pm8S3JV1UxdRbG35YGQgzqA24/uJj0kXahMllqI4dV/tEmgDkoPQncNp7KeCnjiQUTAb4/wlPHTVOaYxmT5lqvSdl2M3kX62JjV96bqANLFxlD+kzuJzas7a76cxJ8s/jC4xfrgwPO8HrEeGhQghWKl7fM6NYBagprCRoKD+cCMFWaaIbm6SjXEWgaJz7uo1C4e93yV5BurSPf7tBo9Jy3/5ND2bGyMRf6OmivGEr5GgnM1xKjaztIMZjSiZ3vin8Rwf/sH43t7LBudvjdtfvCm+1tRLRena7X77X64VYHJWQFED8MpwpnGRyXCOdA+LHDSAtskpiRnjROSbExapWT3ijPg9gWf8BIOvdgJXFT1r6fwWKYgKC6hEQDS9dVfRUmcHZRSn6wK78Pu4fe74Nr4VSQXOKFiBc9aMWWMXLzFAcuw2N/yoK3/q43PKATDkw45A/w57JAetsz5m9bAx0xPB0gCVhHenAetTfHztW3TUxslGN1NBLZzYxreTiPnsYq6uf3xt0Qwoh73H4yui+AqDqDF+OnVMs7CQ38+1/XlVM9DF4PKe1PCRXrppDohZ+VDAPKOzUhhmLaAMUpPZwakYPOtyGRNrgxh2uZ3mPs0TZ6N/3snUL/tyrAv4/UEVjun8DhP3n7uIcUHftRhx+XQKWgDC8AlmYuZR/1qL4Wb87P6nSFvqLQakHpIE4I49Zo/oPibuf3disaah8Y/fTV9C13p5F6ICygPj917+4msA/1KuJAVh4OhHFlplRaZBM3pkloBiD5VzfSMzKDeA5Tb8nSl6SYZff04fm68UbbPirXJeZRFYdwLrWkAp37CLBaSLwG3FKGg8t+wl0Nr/I/ctYHo+nXFYCzefo9dGKH+pkJcKyboIyd8vqygGA8gawoSlpeoDZWS99q0oeZb8+v1+I/MA9Lkw3s+OS+P9tUhYs5pKeWc90D3vqCUcl7t+KXUaMmNKD/86PabJiSTappWaQUgZgIJ92MmyPlJjfLX2kI4tNxrbMoGyuGtNkH6KPbJm26iiYuR50EszStPXXIbDTz+rCRwyP4Anfl3OkhSEKlxLJzDLuSxGOLqm/X48TjdYmAPK6BkK2jQCEXkeRk9ib+0rHYanqX51SkHHzcgOAlLk7m440fYZiAZqh0TdXN4nG3NhseFaAg+RP3DY/1zc95P3xHM5/AywuUPPLEFF/P3DDY+9z9tsv1eRwq6jBfTtAH4xhHDFrr78y2hdGdeIF2dpV5aKjh2BeQ1Ar6ZSA6hNS9KsnZLDb5RBL+EeH8x01GRFuoG31f8CU4xUzwSuyUHXun3LUZMa7uFVgxNslpWQEfGNFG5bJAiEDWOtcJsE1ZrE/pDGqXxq11VLR6K178rgHlb+VFTPkq7IsMJetxF2j9A7zZD47+xstxSmy0ypxtZZ+xb7JHq8VrOJZb5AYSC1oBob4pv/eC50Cz6Xo26VnAE34sHK0PYLUA+D8WqOoT72vH7kgpnWAIoAI14LTe9MfSJAdOy1novppDGTMdyAGLS54npqmJWfWd0/oGEeIBaDObjTw6FaHg9JRrztHTZn0VGJ0e+UBMxtyi2XDcBjH3mCmFYI5e5gurx+aKRRzJC0dFg4HP5efP8hyT6Me0HGBbCy580Ptzh5V/zs0SfidTh5L3DyTvoN6JBO3hlER4hrECwxsbkZpCu4ISmI9U3sXNfJAP4DAD9hjPl5xIEwL1zjM1+2JYqfQUk4l1O1vFGGOhWI2UEwVKRrAGLssXuYC9+483acGFTN5ZeCl9EGe1rc5U7gkiut/9bOqYRxyu2mInDTrCRlESp7UHh76kQmI+6atB+KXLqMQcTHkbTsdSMYXwM2bM0VDrDU/bmKGaQbwnj4C+PmGirja8aDRMbWphGXHImbOhxYsptqS0M7SVNfZ2+6J4AK7Y7F6xIxIO2P4J7XpoX3wdt0nCoDkCi/kgGcBSqGGpeazERuZOokeOnfS0/QS8JvBJUhST9ryzIWhl0XhqW21gwT59E2ibk2n1G/wLqT/y+pLsAOwJg0E5jv083QZk1hAKI0BDGHpDls5kRbrF3QQJjX9uCeIvVbYvCMpMs/3B4F2mHZaPukg79JGSWrgRrg8Xvp2VkyDdQnKicViC/vQ2CjJTkKs7bS9bt4kVhATzuZIcDxBP3ksEOaIHbjY0R4eAY713Uawb7LGHME4DsB/DRJQv80gJ8NIZxd9fnXc2mNngj3+Ox1X4v2pQ/Aw5EozBdaA9CYsYx4VG3/zBLV2/ENrgvKtRkBu0ZC6u215DN/f42GV7KOsqJxwdrRxg6q65O30yyg0vG0RquLcgSe5gboh15mJlf6BmqF3HIUZA2zjt/XTP4dfH5NrPFi5MtGtN4mvH2sRLvpmALGwjjpYq3AXRV+/8a36fow48e6yXXitXGNqkHEbT7/bcDXKbokAHTd9RPysn7QALmCgwAAIABJREFUmKlYoYOpXmMgv4eSQm4qLmdBSwU+KusCG5/OUb/XFEFQ3zh5tllv6eJyJtszAiDqob0TmJeZgZt1i/39mIFlYnFUSB2Z8dOGWAhGmi+wnifWITd7BR4uM3ewxAjyN6PDeOqXDV76Vjom2iwMBoG+a+/T0VIvn3FYvEQGmhzK5qaHJdhoczM1h62eIVSDfwKbCtEsEMfNad2JwZqkIJbUdPYlQ0AAQOJtP48ou/RDAL4DwJ8zxvx3IYS/ep19vB7LKPbAemjlx+Oh8BLF2wBF3QcQH5xyqlDXuqRAKBCPAZC3qddoa2NIncjc9Tur6P1ohlCJ7bdmOoBda6RI5GzcFBYKlSEt1gEsxlZoHMWmr9yJzGxS2XQhafSXMFJrvODimt4p4nKCBSfnkeADJzxtgUW4QIeAjrBiDSeVkb9FauLTnP4E83DU30zghs54LOjYW6FjctQ5Tgy+dlLa8OnB93zupbFb+1aujx4/yRkK4+OddfI+R8xs7M82M+xRJ6oMsLm9nNR2tlE0ZWRkVjfJi9RW1QB41TIAnTmVWdTgrLqe+W+uj7O3bjIQ5myYiQPQQV3SIqLtGyd9Gsz+sYr4wc+9QEGzAefn1GC2IMrnqwuM85QhAJEF2PE1JlG49ngNXESDHkj6GUeD9AHgBuH3ZPRxbyU4Phubl77Fy+QwrgX0DzoMb6JjIfqmGYzo9duTeH5+4TB7mWZW00zgcR+wRA2VUY8XVjIO19OzQDCVcUaopJtjgpN+t+7UeV2nBvDvAPheAG8H8LcAfF0I4YExZg/ACwDeMAcApOg9eJMgIB6/p6x+KvimGyY1dE0hCI2HM1YtN4xPhTzdJFb2AWiIR7f9A9GYlXBMjCzzLENH+7tqBdZMC5Ix2kK2P15t41MWUczcjdsnyCZR+dJxTAffp7oEKhmIXuU5ckRujZ80gHXGTdgnXql8pmi7nRh7fU5ZsZLphWycK5+rdbPqjCmpsZKR0nCPOO8WDTeMqWJt2VfBn6+tyyGNf5TZxb0aqlMUsgFkE8Fqq5bVTLB61ZxWrkZr/9PvdBFm1ZpWakpM9xDLavfiPKZyFz4YgWhHpTckBA/ObJXke9clthAQO4H59pNnfZFGQnKT2LBu0RPMw41gwVv5LPcBNJ3HeJ7PA2gvGLqzAIm7MZxk5yP6zxDVmLD47hwY6H12Cu2TRoz44e/E7c/eZgTKAXURj0cOx/88HgsPizn8lMHJe2kzoosy82c48th7kYrAxEZyRXd1ua6TAfwpAD8eQvhl/SKNh/zea3z+dVshpCKPbbzo+OhuXyBCQfx3om8GGRovOKE3aOg+1BDQRFoiqL4CNljWTaQdNHRTdidv0/0pI/ttncDlqlEugamxTQPmp1IQ2oin8YdTlc/MEWHqMGW/YapjtPGN8P/L85jZETPDmUWCfWpMG3HUCvcvIYtYmGboizI7TI9JG3Y9ClNfl/y7bSp0yvjDtI1TWRbIAazVOXN0z9fBBSMMI14c9V6s06hJNvaLPhFe2Yl0xmFTRPG1LujaqhXfa4SAqnx0ZT+1BkTtUPle5KhfM+ik8KrqApdktfp2FDKHdGCrngL+m2EhM99It68cz94gzVwM7YyXMxhyAF5x+XlmL88GbvYGGBJ6QxwHgc2t+J1hY2G465jloG84rO9QwElvLe97KSBjnwKfoRWm0cWb2IjbJPNMU72G2wOWT9G+6RFb3k0sId7H/GE8xrOjJA3NCqVfSidw/JIQvmfHe//wqs+/rstAmr28uonY2LasyWKTc9AyDsLrp387OHlfG/2yi9h5q/oKUkZRmx0MxJtTDH+Foqkx+EkUH0K2H4A6hovIVnP+dSRaGtnSmGfHCaMoigmzn0b7ZmL4a8Jn1rhUzFT6+tzFWXYnd1aJt+0AK12wO6UgUgHbTxk7FfKay65XzkYBpri8Lq6X8wPyc00DadjAx2wwL/jGv/NHT+AxRfnk7+wq4x99MJVMKaAsVjuk7WqTvfTa1hugtf9FUFEHAOq361WRmN+rBTBlYXjwqetXj3YNxTPTKymIeTEjIAQjY2Jl+37EJcl8mAU962PiE3Jk71dpIEzzmagt5N6SMi9WCgXJOrSvdjIKkiWdh0M1FJ65/3sOB78Tv/+CePtuFoRB5Ehi4taHOikWv/3nYsvwx//0TPD+7oQM+rHHnLB/Fojjn826RA29+c/ji2dvwc51HQjoGxBhnvcgyjU1AC5CCEc7P/hlWHoofDYRrICAYpNW/IwYR28m0rKNrUT73iCPc4iOhqmjKG9ifrxrRvQqlc9s2zKyVY1guhO1hCA03DAd4ThltEDJAusO4knTlyp4NsqhpPGMlG7CZIYfiJ2gbFgOCO/nebkzM2SNVen42EFuxy8bhKnypbpuSea4yRwuoLT/gxUqhTZSpfT14JtJAT+TSGan4Br4lvH+drK/NK3MTvXw2XFe9NkgIIDplfn3b+vMlRpARQso/b/ubEtDneSo05xkINdEApRoXDCqA5g4/d0w7RdpXKJ/itRDJ5BOHnhR4XjMu8hHZ2EI3uDgzPkEI3G3/0xlT7JmfkIhX190sOQ8HDkKP1rJCgLNBuZmsfayx8hMIrrt/LqRrKB5Quew71IUznMBZkoMjgbMXDyTsoZP/bs0f/oywC/I4RBraHMnYEP1gPaMggbS/u9OrKiLnj9L16ZOoJN1HQjov0ekgv4cgH8dwPcgzgh+w1dAPmiFC0JNMfzFeSs4It8wxoTMQfBrpYKohxFjZCrRs0QkSoCrZN74YCY4swlT7f9WOZaNiiJ5Jf0dX43Ka0ySWgqePlMaEY2ZJ2eWmr7S9nLMaoRj2Z0bdXfiZxj3XQ6dRPkMAWjp5y9UvjibR7Ara1A6+2K8OGN3acz8RmH1/C//BnPmnqu6iHxOOQD9O2i9fiDODShHi/pgEi7e5PtgI6H3MW9HVUhOev88EEeuB6ZZQW01ynlve79cuyQorpKMKF/rrJNroed72D5kr2kHsCYcf485/8GkAS9K/kGcASuAmjTEReDjzsUmL0SIKL6Y7MN4TDTQjYXpKeN/QlkEwTjrp5yMi+Su3vZxK1kBy0G7AGzuUH3rMQUCRw5zEoNbkVbPcMNL8xgPi9n/bIMLknYQLD9AqKHP/Z9xu0//21Qo/7zB5ibvg+ChV3fDgtdlAf2uMaYJIThEKuj/e53Pve4rKKPchMltKg+YTzcHByqaNqojjEacQdyuwZSO5pXjYZipq/QL8NI1AG3sa9F42bGrm2RqHH5eOirnpdPtqVCbmURitQ7nmhaQzmg6OQevHAqlpL6VyI+NF5BGQAqTqCielytFsSl8KQ2bg80yDyCHMHQjluDxtN0pTfzaa6fccw8lx2yTIyxZOBvfYM5/qwyADTl/57wZJRuS+xNG3l8UjWhYpHOWDEDVbrTKZurh4N88iEPbN6lWkXoCthuDzvgJg4jPZdaMifGl7qdUFwhyDkKrVcXbss41a0dckMAdBwM6o0hzAZKS6OmSZgF3CZbh31vmAmxaLIjxw7h/WCTsn9lobe+weRT3F8gBmDYNn2EoKLwyRyCtIB76Ioji3ghzGu9xVgrd/1iDk2O6T8hIY9XIbzr7JDsARc/kkZB9wIwKuCuqCwyHiQXEWUlzbjEex/29+E3xGhpifpy/GWnY/CE9r+dfugO4NMb0AD5sjPlvAbwEKYlcvYwx/xOAbwfwIITwB+i1Pw/g+wG8Spv9aAjhF6+zPzZeIRiBgPjxSJ3AifGTBOJyB8H7KpvInDLeTnUT6/SV/y0xfWnq8U2SlFXGvFYEltcUfbIK2xSDYLQctPaENa5/unZFwVn1Mgh0o3Bqjtj7ZlRRe9qHK75r5TqZrMUDP45mKxzQMBWmYyYJg3okWp3/a3JHqd/TUNW6gHSWrsP5OMv2f0EOYN6kqVa9iuYlAwgjnUubQT/8GmsaSYQf0jSvFdEXb86WVV2o5YaiNpKikKL9PEEWQoe06yr7pz5jOH9tK7e/AguVWeOgawaVAnN5TN5b2KIGoBvGBJe3DqdFgKRlw1nbZzl0yRmMxe9vfSJm0PaXp3N4MvaM2Y+ukch+WKXiLkjkjW2IbZ2wfzpyAIO6dBx1gxyLnSVJa37GT9/hpNmLoaP2SYNxj2CeN9N9PxoZHTmjQTPr+2Nq2KZj39x0uPEC0YOfj192/FGDR19NmQcNku8fck0gSUX7GQVAN7BzXccBfDcivP2DAP4s4lD4f+8an+P1PyPCSD9TvP7jIYS/9AXsB0C6AXRTB0NASSdIUfSUQeMfjLdrFZWTISOnina8rFHwjbK2OqLT72nHkssx59G5FmirMm5q7J/KcejttxWBW+smA+CBZGQYWtBNOlqzJ1PBRN5hm2QfWtlfWQS/7srojdrZlEXD0Ewi/8E3EwdwPswlG2Eju6SxgX5hsCZsue+T/INw81sr10akC9R3+QKW0d+xGtJrq6LgO/pG5g0/tX+ebTObjQlGIm2ce3vnE8ceeyPKWlHSByrfy7YzaXCNpjCXziNr8KqQBVLQkl+bch9l4FPrq9E1LYYML0Kfsmwl+QzEZzijf9KSOQNK/oEzhKD0gTiyHwnbN02AX3KTF2UMCwfDBWnaXuYBzFzqA+DrdODQfZbkolkn6MxgfIqu3Z6Cimjwu+Uh9xsrsI2lArI7GrG6Q8dHX3X2fIryOStYUBi9vgsZKrN4hZzE68AC+jT9uQTw31y1feXzv2yMeesX+rn6vpTHbhJ+3hYsCT38hVfTeDH82WDpogYQh1AwRMEuvk7NLKMioZwiZDUC3n5XEThFUUZ0d7RMRNkJrFcJI+n9tdJglXT2vXTO2kntwQcz0ezpzHTSlUOiNw4FPKC/P7sGO2iKrGGjI3vt5JqKYRsK3Z9L30+E355s5jJ9irtzdXNerRO37OFYuxaW6Kqjgg+TQ+kmrw1KvXJTjAL1MFgt++yaiChal/R09GQ7DkoYEvFb8H6WwphTsbZs+Nq2tNyG5voDMWPj39NVgodaR7Ccq6IGyzS1SmWybZQcdEV8T2Se+TtbhxVlUZbGknSL1DfQklLn5qJDx/o99FMHb9BQVO4fE4xyc4OGRdgOybHNHMIFY//xerLY2sUNKzpBPATGzl2K4um3W98OSUeIHIBxRvgNy/v0rD1qhPFzSFpAp+8F1rcJyiGjPxw57H867m9JUNHl03R6GwO3R4gHDUjfgfrF67TtDWPMR4BKmEkrhPC+3bu+cv2gMeZ7APwGgB8OITzechwfAPABAGju3EiFXxVFlLTN0SVzJZG4chIyBKbC+ImFydwoO2+ylBYATDCTKDxtb+vF4iLaz4bEKP7+pFhs/CQC181JG1Xw5s9KAbmC2WuDXfLRtWporUaQYcA77q4J5VWdd0r79fjHPCIt17QRrJlIQSxdh/MhGnu+Ng8v97GmaHxDk6GODpbpHAp4ZuMbeY0N1npoBarh13SWeUmwV9e4as8Dw2Ga8+7P2HiFbJte3afJwKXCfO2aXHdlkiEV4bek60/b73DYepxp2v/0t9Z9Jdm8jKLO1hovdZFZk0gCvFjmmR1r37iJdeq6MU0OI4exHmYpK2CWkbPC/hnVcHcesRgY5mkDPGH/hjj6DOPgskWg4nJDoyHD3GE4KmigC4fFZ4kR9zwb5yDNXgwVHX6mwUMSbhsJYDdrC/B38JD5WwGre+QUiRo67qWC78Vb4mc5E+DGtW1rVwawc9bvl7h+EsCPIf6EPwbgLyN2G09WCOGDAD4IAPO3vynoGoAYfin0kuGyXnB+mQ26xVglR8L1AT0lLEEMWoMHQKb5P3FAqmjYQRvxorisIJuNkqqeGHHrJml0lGzIIajW+MnkrpoefDVjUOdVi96rjUByTGo7joBZArqf6gix0Z/ZQf7uTRoMM5lrq66nZvdoyWcAuBhnOB1i1MrQzqOHB2i5AWhFRvbG+eT8Jdof24kG1FrVAAYFFbIzYDy/W7iJCuwYrGQIiy7NFebJUbz495+3ifKpYU5tKK+zrir8Tpg5WiCukqmWOL41Qc6fKyz6fpao3zWK6TRllWl1zzJTMibN3OB9XKyis9XNcZI5tE6cfMPsnTaIUxDpiFUbBeEAbFi+2RuAsoJA3b/m1gqB1UD5tziM3zv79AzrZ+k5PSEo8JYVjaH2QTzO8a6DW9D5EMTkZ0F+f0fKo0/eFaTQzPWB+YMGq/vcZEknO1iJ8u/9k7j9K98gHlv2wfIQ/ZMv0gEo6AfGmLcAeGcI4f8yxix2fe46K4Twitr3XwfwC9f6HDBh1wD5MA8A8KoI61y6IbVWUNxejZhURtyV+zVeir+a+RNCblDT+RnZjj+no33tAMrPNnZqxLPPqKLtRO7BJphnqlQ61aXfNlicV4rY/aTr05owicA2rsE5YdsszNfuJy2ePfk3FoW17k+tpiFQjJKCYN2fSzfDuYumh7OY02GO1y5j+CS6T+ctDDf4kCOYVXRoBM8fu4mxH8ZU71irGRQCAZFjOZiv4Qq+ug9GZuGKA3CNPMQivDekiVd8TxgtbSLSCi67NuXaFNRQDQGVOv96P9YoFkwFWtKwDP+fGV86s5NghO73lWvRIz9mH0zm3Hl/aewqHYdyAPw8Jbnn9BzrYrCQLzijnI9SQOY+gzAmeqllvH+wMhzGvEKaQMdWsH/WBJIBMnspUFyRABvOW3EQUPZpczd+B2cCy6cd7v3j+N7n/yhBigc+zQm+R5BaZ0Xbh7uE+xOLzZ24vwf/GvUmLOk47gV0Txgq2greZOs6jWDfjwjB3ELUA3oWwF8D8K3X+ob6Pp8OIbxE//0OAL99rQ+qyIFTPCDdCGKQncU4cq2Ajb6qASiefxntDWMjcFGnHEvJFhq9lWivnGSkZSI0nCPRvoJgyhrAtgh8wrjQEtFqXOS2BqFtq1poLvj9sVZR1EWQMiTm1Z9s5jh5HA3wU3dPAQDH/RKHbZxLd0Dz6eYq2ufIvwb9iHEMrRh+ljte+h5nBPfw9z9eL/DoERGr6TD7u8v04NNr/FuuXYr2Ofo8W6WhIgzLaGYYR/P8eSA2bwGAvRlwQe/rkYdrkjDGXjz/wTciCyCOZUgCeXwv6l+mJkd91XhIIGcFacdfh/fy4KqmAirbVBx2a/0kUymDFD4OcRCUPc2aUZ7fQd3r/LvsKYYfEB1Ho4QhgWgTyumAXeewOu/lbyBmVlIroNc2q6TjtKFuWgwWhorJUgsgCYnhRuoD4Kh/7+MdLqnbl2EZjEYmkvk2mdtXvo6cHNUd3L6bKHdubjnc+Cjdl2+L+7v14YCX/w0KVomZNPss3cPHAYagJR4vyU1i29Z1Ivk/A+DrAPwqAIQQPm6MeeoanwMAGGN+FsA3A7hjjPkcgP8awDcbY96P+Jj+HoAfuN7Oghh+a72kdijooBrXZWPeqqKxyBqo7XTBrS3qDMZMZRxCBT8ux0bqpdPjqtHdYbivitRrq+T6xyg+/96M8SJiZy4rHAMx6kwdwFP6JTu0R+d7aAhbvTGPYcl+u8YejUScWdb9IXaRqQ829yW7JzRi+GWur+tEM4alJjZjK0wP5nIf7K3lt20KiVinNKNEwmHTCt7M+0VIx7TeJGMjzYYnlBU8Y7P3gRgcsLZMOE6ZBUeSknkOCQqRCLiZZo1tKXMLoDF8vWpZ1G4nIWMir2ggk+EvdP1b4yY1gtqwmG11AXYAWWMnnRt3/eqhL6BGKH62hrGRvy/PYyboZkOifNLnmsYjMOWTs4MmyJQ17hEIXmWE5Jxx2QIHRF1m/f4jcs4zB1AfAIi6OxxBZgSAICi7tAjUPbymhjAzGjji6d/8rXicj98PDMQCMtwxvOewvpU3Mb72PoPuNDWU0YWNnwvASJDWnQ/FF5+864uvAfBahxA2SXjNtJgk/9tXCOE7Ky//1HU/r1cWEXkrTJ8gkbqKptv8NSDd7JJGIkiNQGv9lNFNCEnbJzseMYr5qjF+amubIygZP96ESSPO6K0UHHWWoZk78bX0HmcqHDGfD71EaAdU5Dxo1ziiiJ25//x5IFE+R98IBPDyReSaXTzawzuefxkAcH8RR0Ucd0sZD6gj/3JpuIeNPcM+l77HpY/fxSyfpeuE3slOrLEe88MIL/EAkb1+I1F7Vzjm5dDJeTGOPzyeYZzH4+XoFCYZpeUZMWNurHBJ7zPe6rzBirKB2c2o5zL4Bi1BCv4+ZTRjwqAFF1fFyFFh2nxNahF3be0qzMq8ZE0XVVH/NoVSH1J3vLCRKs9Va51oHHHTX1bIJU7/xjVyv+lgiSWf+ffa6zcZOw9IlM+L5Qz7i3V2nJuhSVkBw3IHK5FvEJXP+Qj/IGaP/r6qFRAltOPtH/bwi7xYi1NiDR0M0rkrkOH9DfY+Ht+/eJ6CnEcWyz1yaDwT+HMdVs8Q9v8eup4PWuH1s47Po6/xWJG0w+whwUN3nGgPsWgcT/2aPbRYEXz0mEZItpfYua7jAP6RMeZHASyMMd8G4D8B8L9f43Nf1mVMSBpAFYomF9A0b1raxGUfihHEWYQ36NocR7QmTBgsTmUAIpBWafqqicEJlTBYgT64yKVZOLrRq+xEXbl2km73dsxkFsprwpE6N2udb2Y4mhE8o5q1ZjY31JkqJH3nhevxZBMfolceRlmop55+gluzGPkfdgT3qELvzmlaKurXhV4g0j3LUY+6D4FXZx36jnsYEguqJAAI7DM0qXeEbo7uUQt3j76fGoe6+ZgKlOfE8jlMM6nDImHcgaJ90EM5uIZn7WT3mnwvG11FVhgL3DuDCnc4gkYxzmoQT23pom0pFSLbIM2J5m0ahMmxZJCRgjTL+1SPxtQOgOsM5+TsYz8NO9eiGKy+jxu3RpeGwq9cOgemhA7023QLJzVdoZV3Dm7FhpocwI0RYJ4+wTyL36VA5J0jwoyOnaJ+sxiT5j85h/Udn2YC3yXxuh4wY4ryAWDvYxYn1LTFOj72ohG10vacvup20vq/80/jdzx+N53nhZEeAh4Kf/CxLz0D+BEA3wfgI4hQzS8C+BvX+NzrvoyCgHwwGOnBKoW69KwA3r5V6TQXdLTMs4YJtOSzfKZg+qxdK/okfJN2NhnxEtsHlN6PKiTu9xSxStOVm0yu2vhOPqubmnhKEkstLJohG9gCpMLfGFLEfrJayLFxJLbfJqG2kpo5eCNY8gV11T5ZL/DyaTT87jKez/1nz3CzjyHHARV6NdNHT/iS4yuizhq9cwhJYkHr7pSskdrySL+xQHQK7nGUKfJj0qwhxVCmA2I+yv0hD5gKMtju+mAi5ou0D2cNhsPc2Dtv5J4RWEJH1Cpo2XpeW6Cdkhpao35qbj5v35lhK+3ThWkzl14as68JGZYNYJl2laoVlKqnPiTJZ37GO1UL4ONlo39xkeo3fCqjs7KPDWWW1gSEIzLG65QVGBFoM/Kap4jfUlbIg1nCxsKQA2hoCIzfG0WmgSEjd+Bw8CmqMx7Ta/sezTn9fZukLv4VL2MkeSLYjd9pcPLOHMtvlhaOoJ+Tt1PdiEcY3w/oH9E+aPvlPexc12kE88aYvwfg74UQXr1q+y/3EjVObwSDZY0PfhDb1onB7xQ1lLfnG9Y5O8GHu9ahJ8OqB1eXdQNtfDgq4RS3VzIRvEZvhZrI2HLfODH8/G9O+WSMvRXDz4XHzurPDuqzhJGG3GAuXScaONylevfgHActRf6Mz28pQnMTFUdvJ5s5zh7Ggu/N+xHuOepXk+xhl/CYjvZ1o5cMO1c1gEH+ttl75SpnNNRW6hK3Ih/MW/seaPi3GzgsV6ympaoBcbOhDCkB7CY/rhBMOfVy8j6QHEBs8Kocb2F3v9Bif/kZvt4ZS6i4Z/UoyfL7nBoTKgylivSzpkvzcxJUPUwwfd9Ig5imbnOwwF3RzKSyNrHw2MAHr+aF0O86jo3AgaoBHy1nDQ9jFov5KHK+jmoGtvWJ4sxO/phICyetjILkgSzOWYCcgjlJHcbnxP9vuIP3wOOAJnU9obqQn3vMnlBgSAye82eDNIDxAPj9zxicHVBQR8XqxctEUDgMcPO8CDzuYefa1QhmEAu2P0inb0ycsP5XQwh/YfduvzzLGJ2+tyL4xGtGxZi+GxWmn1JINtpcqAvBCGTAN1Fn/YSR4oIVDFh3k/INPacIvK/QNnWDlx6FyJ+bt8nwl0vgnrGVZiM2cHvtIIafaY26W1dEychgnw8z0cBhR3XUr0WaWc/6Lc9Bc+5ZV+fh2b5Q3W7vXQAA9puNHEvpCIDdRkvr/WvDH69DUvTUSqWCX6vzLhqwszWJqNV/BTKchWSAGZdX+5S6tToXHb1zLZV/J2OCsDtqdaR03FP4JDv2wthed9VGQ+r91Vg9SRQubdNVRNsmhV6TU5x5H0IwQNq+lMMeXCPCeOIUXCPPLxd1NQ1cRkF206HwDA9vLpPMtDhZ5fiZJh6ckcKt4/kBhxs5Ps9QEO2rf9xheUTP+D5du4tG5gUYn/bLM4HvfCg+Q69+LbCiCN1Sl3CYeRBJTnoO3L7HrV+L3/uQ2m5DC8kU+FaYUQvt8n5yCkfUTXz5JWQAPwTgGwF8bQjhUwBgjHkbgJ80xvzZEMKP7971679CgHCqRzXfl7v62Ji3jVeQDd2QsEIX48it65wYw7ZST5Ci6dBl3bZAjGY4U5BB8Zr7XYir6QYhTln32kGKtpqhlOQZlKY+3fgMGcXP5kZbz3oVtgzBPudDLxj00XxF+9hUInYFzwj3vsWSGDdPSFZh88lD3HhXvPOOqY6waDZpwpcSj9vFMCkjxgwCEh395Dx193NJv7VI3Gy9kjEu31A1He707oLoLbEn0D0kHDA3JskH89kZA5nSxMsioFnmRraxCRapOQVhyGyBb+L372btaLZWU0CKDqb6+bJuwA5jCBazYlsfUmGai/a9mh2sZ2WUEC2AyfMUlVT53NJr80IMTjeOcZGen3vTBAxc6CUDj7MrWUOaAAAgAElEQVQOA8/4pTWsWvSkAhrI6IehAYgyPvs8EQIWozA8eB4A1weGoyCQkaeof/5KgyV1CgcmpFw2COQUTt+WYETW/elOmcIJGQnJswL8wuPsLRTRM9f/NqQ3wBHOT+0wsGsj2P+aBsXz57atXQ7gewB8WwjhNX4hhPBJY8x3AfglAG+4A/DBiOE3NgiFi9UDOSJ3wUp0MKiEWhpdyNjP+0GMMa+YKeTyvesxNZbNib2x6DYTyQZ98y8JshnUjS6ZQpOOt4zs9ExeZvkMvhFnw5j9vBkmzTkaKxemz5jUOQ9m0Xmwwd5vNmmEosaEQ16s04qar54Tz/7ZJZ46iJWpoy7eZbqALGJjSkemJulc/q1HPWpnxs5Qaxfp7mkgl/vYhaNb5RDEOXAvSRdSvWiWKMf82nDE0GIQWZLg/3/u3qTnlm3LDhprrYjYxVee6tavtLO0nWksV1IKy8hKsGQkEAm2oEMDZPEPcJtW0kSCBilE1TAChAyWEMjYkjE9DLjCz5nPzvte3vqe+qt2ERFrLRoxx1wzivPdZ5v0e/etzndO7NixY8eOmMWYY45Zhr2zqFfOKalToAPyPqEV40UM3NYRFBeXQMWSCvr05u81vH+CwVsWjmV1TVg9wRmatEbv4nTS3EyMNH4IxYYimWIlRqZaUd5l7bHgM9H1YVRLAIZMvZnUBfbH0mfRSqTeCe4fQkK7E8z+ZHhOXCrFfC53VatqKPV83HWFfCH3rgT+x32liR4Luf274kTXGc1ruRcfsnGrRPRc9WuPVpwMaZ6rl27QCAJUfiLsC8xH+YaucgrhrAV8P7yVwVgySCbAS+07pwGK1NGxUuu9vO5zALU1/lw552fOuXrpDb/ryxR3G9P0YQu8wPDgHLvxV6tCYYgwrbQGuOgI+RldFCgQ0dSI26XaMX2lcsBc6+aoxdrptC7AyAzHapY91D6agm+r26bNOSkXmiSZPtRdr33EObMHTuTy/ShS5JpmEQdTP7h+OeD+T9660u9TjH6aRZtLy0a201GPKZsaAAj3FInm3tRgusmw72qhJmylwacd41XT6+9KpOpoBoP4pmDS/M3yKUkF5d459KUG5deTjtkQdRg4919VEddXw5PthDVCWmg0WlD2/tN5uebaTSP2pT6AYBhsI8E338/2ncKQRXm1dJF7kxVwaWOjgYdY51pXvQZB3M+5jLvDcD8xe+v6MHtm2mONVq4Ln/W9cP7XJ60ysg5b0eXPDo49GeT3rxJwJceVSPzh3/d4eT62D2c/8Lj6fcP5s7O3ug7qvBlJ9xKduwysxTr2gsl350mlGKqdIBCrogukUGCC7heF5eM7h9Xr4fXbbxYmEQu81AcKB6ddvqQfb+Q8dmaqmBeGbPcVcxvvcwDtP+Frv3vLZY32Q0izdJ8RxLGrlNMbREypXkU12lODAJRI/dhX+uAxU1iZwrBCRi7NjBLfd+hrfWAsU4f/5vKG389o/7ZrZqqI69CrsbWwT8HKi/FkpH4jmjh0bGer/UyXf0ljKMFrnYPO5Lpd44VILLAz8nJTjqcwkilCLw0MnxZ8LSRgpZ21Ocp0hrYTI3Lo6wUnX6A/e29MC8N0UpVRiNXCY1WkvHnvAAZmWpcgopJ6Byl/wSelJGqB0kf404JRA0PwkKWJyL8n9SCJYvtYdKdGA9DZiMWeh6+AgPQ7uqj/thnjVN3Vyn1MFUTbVJn7o0T4027f1lCTbY8KMxmSIHJ22O05MrI4vlvR+WGWHY8BxxWbwuQ8Xwz7dE1UqISZgK8SNjIvd3chnxUyamHpsKRz9y6AI0NlydrXBo830tOVqnDm0f7+4HCQmbzK+NkmhWA2Pxz2u/rZpMdjQbc9L8ydVMt1bbI6DRr27IH6mswg+awOEJQVWbKHuBZn7DMSP4udwI9w77rPAfyyc+56YbsDsL7/sL87y/lJd6QOeBn+r00jvVe51drwwqedoDk7NXZkxhzaWh+8DaGaqjfDywtWb298oDiRnDEvEIc4E9SyWkBlhGKjzoZG39YKbBqvs2gJj8RKI3+ey6lE/efNAScm8gfGESSj7WMsnPvX7RClPr07xcvnA/Tz7jtDmPJwtdfj0aHULs7GRN63Ivwo8h/Oo1BO7bB1C4cN16mepfarqsgJ0Inm/OYmKtv0RyFBVyW9LtSRD2Z4fbMqDDHVp+Hz57IacoWAfNL3aAYQepzKdCgIh5vslpvDqhTkDQuNvz/vk8VBOs5hK6Hf0lCdMU9/ei+WiH4q6NanYJhZTrd5+d1ZnznESp+J2+MQgDQhFty+K/x+ymccNsM9FHtftPkZF+wD2tU4K9h+Nrx4+6Ai+UrlmFNyZQauCK85FMkEOoz+JKtRDmL02wdZo+cy0D0Bwr9Xo8wO3y6gFz1+1g6qW49O4KDdO+Wc2S+Q6uJgerGgFGs7PM64/YZ8PgvI64juTO5jEtPOMppXY6rnTnQZXFf4/2wO+6oJofeJwX01yfqf8XKmyJfSHOZRnnc1mBEAaOpx1A8YR5GK9rvCCS5rXaAx0f4sUs5OccyjaV0Hhqi/mdI7l1Q5kx9FtDzudIbueCBLKQZO8f5dX88kdS3Pn4Zfj4VC27M0z7tJwffl1SkaKaQ9XA88/211nBWQf9Rh43bY+1SgLBq4oUwcM1mBaeIiW4OHiGu7XznutPhLw1pXJSjQLKEqv/WKkWgsMyLskHHlpDclsmZEe7MfDGDlknas8tzWocft7xt+l3flsyg3/fmLC/gnwzbKafS5jL9kFpmyV0kNu6bRuw0YlMmTvWJe2h2cS7MXC/5kiLUpaJDB/W/7ZgafDkQDiXx3Q6/JpumUfk3Bu82qU418ZgKp98gikd1K5uX3HlEyAFr7nShw4hA08+Ig9tx5dAKVqIG/CUgC/WRPimTQOcFJ/rpYVDYp2nY4yWilO5dUzyz/7y6iFvejMG9Wzzw6aeZirai69egENmSnb33tVYU0e7E7rVM2EQ38YQv0chxO/TqcZsTNmOpJtdH1C4e7zZiZdPLxPbQ4/FOqev44Fg113welgZLzu1oVfFZhHAPzKCOHhWQTASsW7LLCPDZljhMmQ5eCGn4am60YjHXVlU7UBTE44qN9Lr0BahzqbjZD12rxWNjnMMH7932t6b6VdgAGnj+dgl3JMH0A9guI4d8JTu0T3roQaQfp9D01lM/7OP8puzdCP10OM8rnsG1MJezzXHiv66qSenu5nqfFsfSmT2PqvK1OEu8BVXut0wiqAYBDciP8nsfg/UHpAOeyUhKvd2vdT1VA+wKLbC4Oo3Pibx6fr+G/nUfbXh036rR1v1xm/RL7D27eMWyhIv5Ot6nGSgfGjK8/UKA/Oo82hjJoR/a/Pq41QOGzcX1cq4M6vhq+/932UAgZ0onrfYm2e8nicucBMeRk/KxeOuwfpfI6gESWVZNw+slw3Cs6BQcNBpzYAtyFEj5Lgb7+IiBRrE+MM3ZeHXn7SDD7o9dO3O2Hw3neyHQvbBKCDHmPor1/eCupPAM1ed75PyM++jNOzxkYnEL7WAro0tW7/dRj/47cY0LrPD72ml1efCiR/WPovOHtJ/LbydSvfjPUCOy6+OG8VmnX18oB5OzQcZxftDCPNGLV5UGcDfqIAQfh/5NJVFVR8UY+KMHnWUdiZ4aEcNn/L8E9U9jBdq5aOIMGQPnzVT9qChvOLc+iYtscxkIvAJzVBTYCJng/DTALryO8fzjGdbfGq+MQUpBm9+TyFk82A9efyp6r0Cvl86sKvwovuPl2Gh4rFWz5/8CQKRVoR5zHoYIXx1sJxhsfmcwiln4BrqkkhA0OFDM3KrO8Dw5dGQnJrLA3OvebdSmJ8Xe0dQduY8ba+IgLUQZViQMGG9sissaC/+9cMZ8vBfyvmvSluL8p/CrGn4IOvLcOmP/eaQYgqqixwq3UlHi/Xu/XCi/yvt4fa2RpRLr8exJFP6nV8Gcq7nZBVSvBDGwXkC+lyYtijEeorj9/dyc4uVv12L8lfH0W7asecT1sY/0mXnTwryW7Fr3/foPRLOBh1XqcKE5h83GN/TfEKQitknCTa5L2kRCVyJuEb/6V4XN/508P+z39Qx5hJ8+dwDO+hwq+EcfPVTHed+8Nxwt7p9TQ3ROn21g4ZrbRSPF4/1axOawnvPrZ+++Tr50D4A8XqlgYQeT/mwHwPSMMGoIYRr0DwBD1M9ov1MBsKHICN/TVSHAMGIzyatIHsDaQ0TSKbWPBsQn3DO+ZUEN9VPiIK2ZXxOA4L7Zv1PAz2j1bHRazB+BNAmxu1i9w3a7w6m6I/E8Funi43pVMgs1nrtBQl45tjb7CPEaMDBiMzpTyaTMAO79gCiPl1mv6fvKZOJHvFIlgFQpckC7QDMCnEVYPDPeSSo6zLmAzRerxp1KsXRsqMQ25lSunQ2dBzbuMM6HiErLjb7653Ot35bGurzbA+8N7ef2PC9RMD7/YczGV2zjmGhGH0XH2sdZsgIwv/uZHqzsl1+n2eo277ZANsrGyO1Q4yOutGLEmA0ky9UoMMByweSrPxQcCjzS5yLdIQHf7raSkDw5ehwjroUo4vkUGl5xbE9FuWPuQa7KKaGTs41Gi7u4iAgfZQ+Cb3GSViCE8FHalwM9IvRLqZ/8wg6MXVEJinfD5Hxea6k4+6zxrpkpP0W+HLGB4ffgOx8uM7RfiAN5nMcJ09HJKWCqNYKxLkA7qcukNAAvKJTZcXF8rBwAM1D1A5J31QR5H210KijcW5c8SKVSG3cPozA7dVk4+I5u2Vphnw6aPupsJuY1onXoME9macYLAYPy3EwdQubkaaZuqkQYOMOD9PJ7tEWDUuNSJy8ifUX+XQ9H2Edjn+e2p9ktwYPnlaq/ibkXauZ9F/gF5hunbzl5enfscQG8Gu9sicNFskshtH5BPRfjriQQFySGQ3DEZLjK8d+yUx2MQy70xlfUOvgQF/J1aMyh+K3BbQukOtw5gShn2Lunvzn4R3jsX24N+7zMxwP7jDfCLw3uJy9/G1eJQ+KWlWZa8fts3OA2Ct8tn3cWVXgtqRV024iS6Cq0TCRLKOVzXaB8L+UAcgAtmvoYY1pMqKnMsmExd+AXqsPvTTruxee32Z71mjXQKR/LmHXSCV6KI27ZT1c5knEJ3IVF2Xwx186VAWgLf5QAtHFMOev9ORhBIh1F3kMatuA9aZ9B+gMcZveg+nfxw2O/uW1lrCzT62ZsahTiHHExDl1BE+7OItJJeEMpNbBPC3fh33z+Ra3TtdA4BawDbT3+KagDOj1kWOn6QdQHHAmE16whcN52h/BXcl4af2LLtAyjt50WUipK1m6p7o0Jjm8IsOgdKo5Lt5iWV0uLUOp1Ki7vN4qzZU3McADivD2ogihw0WUtzuOeYKrxuh4f9qTR47Q81PnhEps9Q8D2rDkbcjfWR3jR7LbNsgMHoTOEKGv1Dqkf1AADYp1oLjr2h2U6FyrLPaliiDP3OXVBDQXnlPvoivDY5Rm06VxltE68HMKvjACWa3/tajfaZ/A63XaPH4baUXaHfyr1buaTbnu9P9FwA4O2TG23ee2c95AwPfumZYvCP6gGK+2j/EJ2EoFYF9CBD4W3Uz210xK/aE5X8JrTTp6D3yovXw73wYDP8/jf7dZFe5v181hdnIIZ7te40Gz/6UjPZiEQ3g7FN0+Hm23JN5DM3J0fsPpcmQ4Fb6k2nzKC1TNraPxz+pkOlsyc2f3f4Drs/VGlBGC+luPzkiF4avOpnYvSfdArHgEPhHbD6UiDad+V+WacygP09yQRkule4CQqzHB8m3ca1I733qcPum6VwDAAXvxVw9QtiiwQK23zucZDiP5lOd9ti0E8/ksz/PSDJcS6/N3ze7Tf1Y2faQdUB967fdQfgnPvPMcwXfppz/v2y7SGA/xbAtzEMhPmzbxoKPzqW1StJXo08n2udF4xi+FkXWFVFH0iZRNkBE3G3zsBEbAhah75EdmbY+nRQvE536ivVNNebvu5U66QxLJ/pjNeBXjrmvO/6WiNFfv5p3ZbaA2EZ38/UQC0URcNPls8h1riRdJ8Z04OzHR5wmIuheTKTqE2n773NXobBs6T4CQwYf6fF9UJDnWY7tgbD385FB0e+Ntv5UxnFqcyg7FG5cbGSa0lzp/ZlJrHy8U0EXykEWDJQ/g6+L9dkpWyd0tlri/CkdeqIUbDw2+Lqbty98/jkTrMi/v5pwbECZWSmihfC6Tbu/7pd463VcA/sDPtMO+kPE8pn77VjXLOjpkCV1OCqQsJGnrfXTQlAyKbaCc8/+KRSDITq1qtOoZzOdPtzmE48kcyPDv66AcQB7ER+Id7VGhRc/Naw/+uLoLXCy98c/j4/D9qcR6PtOqeGnHRRZKeF2fVTyby/JZ91mnD5m3QYsq1yOP2BZFRyTqlycBLRMzth0dZuCwevhfGDYPn1tVc2EaUdwsEhSnS/E5iNTWrtedZMQZ3TJe5d/ywygP8SwH8M4L822/4CgL+Wc/5159xfkP//+z/KwZIpJJEHzk7QIKp/tUnjrdaPwgiEJGJRD7TRPqmjxPSdy7PZvrYPYIr321GDSumsOlPclZTQiseZ4i6Py6h/Z4q8trFMewOMANtUDTQa/vbeZBTAELGyHnEmEd7Fem/wfmYTsaiqLkorFGrqdEWUjGaG9yc/gn74/acNdl0MCkvpsv+ljMOI+kmKops1h1kIaCrb3YSIYz+GhSwbTIf1mPnLjdnG15mVtTHofmvjAGzznF3r0Olvwved10fcyvhLL9zzxveqweMNFFTgnuJYj5NC+9Vhg+PJ+N5ahzLzgB3QymAL2YxJldfqqK9zSIsdp8qO6JgKrZkDWXIuGfX+jpoFHZLMVeAwl6qJqF+I87oY9whsPgk4iFMgzbN6XSFupUj9e+THvgt6r7z6fZD9ArrH4oCk4PveX/X47FdLDREATj6scPet4fV+I86Waq/biNtvThzwOiGuxtuOjxNWL+V5flvqAqemeUwc0f7djCBGm3RRFx0qgXuI5Vd3DqmR50ngsPPfLt9vSiX9qvW77gByzn/DOfftyeZ/BcOYSAD4rwD8dfwIDiDDKZOib4M+8IEyzEYMjovpfzYYvOX8T1ddRYUBbH1gqpNi1T3zxAHE5PWmZwZiswgLGanhj2zmKrIHexOdrasxu8dqAVkxuOlQD42sU6VdwiroFiutH2wURjriRByAzkVwc1aTjf7tpKmpE7AZQKF1Bj2nXp1BYUjZmcnAAOPob8Z6TzbdoaT0meyNUV8yUf/0d7K/vx3g0/LfRjqiOAox+qaL2k5wU0civ02fvGZlthZQT5yCatv7flbw3lZHfLEfZwWb0Cm0Y9eUVXVI9ayJa99VZcSloabydXYza6badGXokBE+5Hfl83LsSncwdbraGJQ6S5nlLpl5BNLL0W9b+JWJ7gHEixZyK+K4GzN+sgeyzKFwZAptExqZnNW+Lc42D0N+AKATnf3medCBLBCn8/yXK2QW/ckg2lQqBke9n9VzuU83UQe1s3Esr3otNJPR05+lot2zK1TWlRjo/boUa88/HPZ7LT91f1KcBx+/7rSIC7K8R9ZQdVeK1Swan/7OT2YN4G0Ohc85f37fjGHn3J/HMJQe1eOLov0fMiqycCjRqsMixgyS4XOKkiiLVqFKWlMo8wNSkVcmnGAwaK0V5NKIxteUyVMVJgmPtUQNHQqkw7812jfFXe0NqOa9ATbat7APoZdpIfUQazX8lIWuQ8SZYNHsG7ANXpUZDDOVHkimcciupcYudYyTIvQxVeowWO84xMK44mpjKNr7huWSifbwJTMFik7BNoQtOYDpb2KF11S220TuowyAGju+3H8l2h9+p11fz7YlON3G35Vr5Qu2zmtzGlo8vRN8XLo/z6uDQju2+HvVDzWd0TCdCVRkG+PcxNkBJWjhtpNVW+5xNhEa4gW/f9cH3Y/P5P7YoAkDRkEu/6Etozhr4dJ3F5VCepWMPOyaSgemkLVDf354O6ISzf1OePjupId7Jt+VAnx1RPWJBFei8dM+yWVK1/viqC6TUjOdZC+Hx0nhG2YZXhhN7uBVJ2hN+YmtQxJndCZQ0NXPAZ0YZcJI/RbasEanAAfsRVpC5ScuElqRoLj8/nAerx4VefETqQscpAgcjsXxkD5aHd5cnwO+BkXgnPNvAPgNAFh99/1MbN9Gb5Ux/ADGk75kW0pFSdQqNTI6sZOGFJelGBacGn6uPpbmJO7PY6xCP4sE7fkqNz0XY3QfRXRr4KNm0s1rl+0Obo2QGzDAPftuzAk7bY44F6YHJ4LZsZLa4OXSorEvVM85BGSlHabibhb2UXlnslG6ZobVd6bpj7rE2QPUZXFmIAuXZgXJj7T5h/3EASBjqhPkXZ6pvNroePq7AsVRVq7ISARu8zYrENZSLAaQODoDltonLe7TmW5Dh1evBouRviHbfKuvB8frGpXVxQKxNf5Wn4rnvB51u4tzCyWjGfbpNEO118lKMwMDxMPnhM/k3cst2tVYOmy/a8owdjm9/q5W6ImF1uplhf6BwLBibOsvROrkUQcmfEFE4fDkoNTQTBbQScT+PXm2GQysIzZPxSnI+E+sElayrZOCc15HNJ8LW0qgosPbUs95ERSqITzjdwVuotRD2JUOY46L3H7mcCu1BJ7T6rnT2gDnAvjWKdWzXxevTfnp/mQSKJ1nNFeSeQgUdPfuT2YG8KVz7l2J/t8F8PRHeZPzGMk3Tw0FMWMLGdiHXnnGBp5pJn0AS8ezfQDWEGjkR+2ghcEwiyMhzWwAWzfg/2n4GZU3Pmr0yGjfUi5LwdUZNdCV/C1y0HRUZ3Lcy+agVMOVqScUraBxgdKuiDIo3EJA3YSf3qWghj8qfFac1FwLqS5DPeT36vug81rZ9Q2XzUhGCwuNDbqFU6ba+0u/uYVxLNzD30yN5MLYzyb0eq0qQxbgWhkHQEexmejpeCT93XmdquqgjU0MOi6q/WIRmAV+m22pHIQ4iqYqZAFSWPk9h3MfO/t11eNaskc7x4DBCrPc2JXOdq6Lv11j/ycK0wYYGDwt9W6kqxW70v8RqNW/K893JYXmuKn0qziRJ3n/fxm2ffpnod2+XlRB3UXZRqVQbHrcfFeeI9I8twmnHw0vv3iL+soZp58O/3z5mDAPi7teI3XCLi465ehT7rm+MZg9lT/boB2+mR3LqHSGABu8Vi+cirkd5G916xXKYnZAOKk/yQr9UEQuf4WF/3E5gL8M4N8G8Ovy93/6Ud7kXdFqH4p7w/ZeKZz8vy8NY7L/MCWMkeCw36oqLBzL5FF6qer0VOpQqlCMfmUifqBABVb2gcvq/uy7OXZrp4QVzf8S7U+N0oC3j3H+JXkIW0BmZGnhHi30qkR1/ErDr585yQq6VM2olhF+BsepFlL26mRpOPbHMvymMk1d2jnJ61rlkgEsBDl877GrZv0i46lW4+/qXRph+sBQBFVogwqYC5O2rLFn9tQEQ5dddDhS+ESJsNeTZq+AhEfnA/2TRn/luxG8NXyv+UjGQTNIMHgDWdFBWXiL99bUeVYuqQ5/f1KM8t2R83Lle0WHO2H68PrvfiYhs9DL569KyLfyDAhkgpAQnoqj+KY4wMte8fWKIx4vxDl0XgdBffonpUu5S8oCInbePvaaITav5V67KFO6Tn5biBHvA69/Tn4ncQpplXDzreH0auH60/h2FxHf/R+Ga/fhvy61wHXC5nO5jwWXb5tcPvexsJbeK81bvVy748NcFDzl3LrToIackE59C8QTFr+GP5f/UO71R2UgDFVG/2kGwvz/spxz/w2Ggu9j59wnGMZM/jqA/8459+8A+AjAv/GPe9w+BpWF0M8yuKQ3hh8Yd2vScdhxdTQ6MXn0hH4mfQZA0YJZV51G1FN2D4A5QwhOewOoex580gjMzgiYwj1DwW1O75zi/H32yiG/kYiNxvdyvdd5AGT5nIb5RDDv8qyzN5pmLruNhcZgnOiU8mm7eKeTvqxTVEXJXVOauNblNyNfmlF/rjJcN2EdGePHqV7O6P1M6xi2kMlVuTSDgDyWagVx9u9RXWZh5sMSjKYOxVw3ZgV3fVHPfCRSHNYpLHVgc7Ej2NuMBnM4kvfa0qhJwpLA8LsAwP5M+gySx343NvYAcLwV/r00WOGyBSgFwd6A8w4HYuns5t92CFcCX8mxqnWH9HozOied5XuzgZNiaaKExOsa6aE05YnBjLtKi8R6+fdlG5k5qxde4SOWmZqXQRu7GNl7FnJPIz7+1eF8XS8Q5DZiLz0E1OmLZxG4Fud+KBz9zefD8e62EthUGQ9+a3jPl39MMoZtUl4/1/Ey63EoKf3yF8TY3xb9f0JA3/0vPgEAfA/L658FC+jffMNLf+qf5HgqLGVpoCzgrgsLSNUbjVyDGvmJsiRQ+gBicrPO4iqUIfMU+6rDHAJYknm2VEaKgfHzG2+MvekEnso42NUry8NptG/7BphdTOcRnNat6sgw6rdwD9d9RmU4bsH2uZIx7NPuVDvicTou0DoHvf77ShkaPec21FE7J/mprkpwO/ZayLY8ru9Ml2YABsarJlHveJvABC7P1FhrFCE1lY+20J9YkbEaZ/ks/j5lrm65bnT8L+KJbmPWdiftot5lrDEuINvvwTX6fDd3APz3bddoYECHSViuCRFJIva7B2Lgk0MSUgWjfqAY9E4cQX3aIpK581Ikop9EJJm3y/2qKuLuO2LIxTnUmx5ZHD9JAJ4dtMciC0PWzqO/Azz9FcIyUr+6rpRqScikugroBY+PUtzdfF7hyJuL6qFXQWOKXpqvtj8UssbGqSibRvinDkl4/RuRJ9mfA+0Dgds+LnRQxfvFoWQP3HwgEBiHyZwkrRtc/CMpAv9iBilBHAZ/EApN9gPkBEAbyD76c98YXvwPsbh+4ovAdqXs0JKv3welRvlJ05dt57fdv0VjRgxQKq3rZAgBQGjGRhnBFHoXcGvUbvkAACAASURBVNKZ7o8xxDbD0K5TioiZITE22rcicMBYNC7JtjYF5fNrrSIVFgaPey6aM6f1sej4GJbPFO6xBV9rlKaG38445lrCpHt77jOKqskOWLNpPbw89GyD9+teG2aU+lkn+ElLfDaOOxjDbrV/pmtqMC08oobdxQVHEWe9CbUZ0uONUyBsRqdgtaLoFOw1oaG23d8MCq7aEhEvOeup87IOwGZA/aSmcdOutPObTpRsMTRHxaxvZZJX1wXUGxliI6w6ZIeV4PftJwLnnGU0Epi17GXwSSegtYnNYVm1guKVOJRNr7g5G8KovJodkA7jvoUXfzCjei1ZsRjs5JMyjaL0UMQqFwbRI2lSez+VYeti2LsHUWUXomQCbNKqbrw6AE4GOz72CstsdISjR5ZCLqPz6tapU6DWUPPaqeCc/mR7px29ncA+rneqUEr2D7ON/iLBS/BUTzSE3rS+Vg4gmwgvVLFE/mL42VyyiF2nosZpjf10DcygcYMVsEyX66dFaDJaYhjp+wOD8dHswUj7arRvMeWJUbIZBXntBzP8hU4sGAprJVHRudA8T0I7w/uX+P12LUX72kux2IU6v5267EdZC1AYSrYGQAeQ6wy1q4T7Q0TH8YwaRQP1jXyG7Od8uT/oKKy4HyYOYMz4KY6wmjjF2sAoduBNL5JjNOy1B46sPaFcY14rW8dRR4FxBtblIslAyLDLQQ35036gg6bs0OjweFN70IY9Zi9p5qwHxdXxvXu12+CwHbSfdEiSqME6l3USGiPx7rbBxZNhf3aR97sKa2kKOwgsk5JTtdTDpjCzVCvJOD7qfNWfC5X1Iqjj9zLWsdfu71xUPoUam08jTv6RZMBsmzjpkXdj9ls+jaheyvEu5fM3CdvfEfz+kkXChPoLuXcfjumg53+3wtXPDts4wjHcecXgyc2vr71mI+zq/db/3ON3/ow4d2EI4boUhulYVs+LHPRRvmNz5SA+WJ0DZSK6C6MB9IlsM13HS+tr5QAcxiJbTP2nhj+hdH9CYT2nht8OlrcjJoEhOlede+Vjz6uMbQyLUTAwGGQW6Ag7rEKvjmVJCmIp6u4MW2baHWuHv2hDToimfkAnU1g+ttALDMbhq0YLAmNdmTihcg7n7GbbuAa5h7kBmi6lZm56VWWEyeI8h4RQPthnxXl12QyA39Vkg8TbVVAOeSYj4l2awT3eJTXAfpRZjLMC5DTb5l3G1McGl9UAjxHuITLn5+/FAB9TpcflLIkp1DZ8nzI5rGzLs+awLgaVBWEmcHu9xu5SmFhS8GWwsWtrvf6UdVh97xSrPzVuvDy4dZEnOR2M/nFXwzEKleLmsauw8WNqaNeFIscsFMp+V3oD9BaUoTHwWSmkyu4577F7XyJr4uRnHfpL6vfIfnXE4S1x1CIF0V/2pUbAcZFVVkomqPgptYPbb2Y0r8bFXRcd1s8kCLwoP3p9LZ8hAnmf/0qDIPz8Xhxce5ELfHNONlDG6rkETQ/kfuqcNoJxcYh9OJSMoX0gSMAz3Lu+Xg7AlWldKTuNRgr/v9BAbVQMjMXjdF5riBqV01BXIZb5rwbbtx3AgIxOXJhJy/ep4qgY5JO6NRIQ/BvvNfyM+g+xUjhAsfJcuilJPz2t2ln9QGGfUAbAa4HQaiuZgm6aRP7WYPeGw6/vNTIW04ziGOe32BQys6te9QO8h+Lgq5Aw7f8IIWFPTNewS7jUAPts4Jgx3LLUCDYUwcefVfuEY5pscxFHV83eO/s+LirDh6tyUa9jmhjyfapxIp9PZpTNrLJxttOCu106hMclfb/OEjDwIe+rnLxmHEfB9E9PBwpJ21XqeClo9/S7EScs4LIaGew0NckEnm2RqWNDnv9dGbtKp93uGoWU2scSgL2o0Mu/cS71gecsMidkEXlrPhq2tWcARCF29aFse1wgoupOZCUeQZ3RN//H4e8Pfs1j/448HwIPxdOksExFIy4Uzf4k4fy3hcDwSO7nbUS/ZfAy/IknCdVTyQAFYupOM05EpfPmtJAazn8wvOeZZBtxnUBha763vcha/KXD4PhJ3zrNqCgTEY7zZ8yur5kDMIwToxsPpqUGTyZbhAM+bGFYC7pNV/TGJ239dkXbCSzHPXaVPqB8OHisxjaCmVkBS3DLFBe3bAxL6bQNYvwMqws0/C0wjz6IFu/HJGJ9w6Jh0b9Wa0alpMs2lXaI1ezYrYledX/DkJoNaQlJI0Gl8rqklFuuKkTFQnUgSDCMH1OzmUo2JE8HMO/6DcjARPfII5X+CxPZTzH4JS3+JUqwd7lMk6vGr+1jjY0fzxW+61fqyCm7sKS7NGx3s9dZOKaia9sHLfDy7+bsUGpkrwfjuX1YRoJTeFEDpkdHzXLXzMCrpNtUMmLnFSIiZOu+2KDlFDVmdFcVOjpyMdhp5QHSQE9IDZWg7y7AU25ConnsAxybuMSypTaUwCDPt330q1KDuIXODuavWL8KGlHzEWDtoD+PuPq9cl9JnaDfRtX3b15yv6x9AicfSUb1flZIhzWGXAF375DNU4rAR+lyvvwtKQL/gawjIKn3k+T/cZtRSyNYDuIc3sW962vlAIASlcbotWGIS1v9rSQAm7+qCJpQO/IvTItwWI72p2qUVq7ACr7xuFP9+CXHkrJDPxmAPnYApTuYHZZrM/FLHYBh97yJ1bNknIAFnD/7WeQ/SFSPoR/bYcoov03VjLnUZw8/5aYv6NaTthl8nvHbgy8ZVRn1mQFp2efewcCDatAXMgBeY8v40fe5pHhDkdqI6MwcZW5jBmAd61IDmn5vs63M2B3vd9utVIWVsOQuNvORkKbDmp3AKZfMgk47Zq900mMtchtdrb8Bu8NP10e9j09ExmD9s4VldHO9kc+S4Gnd6TNAhMdXSR0bI/y0SSruxiyuP42ARONK691GuGt5QiXaT5c9Gikmgxo7LAK/LllJEv3+1ffXOMi/j49KQ1iSTIHGPFybbQLLPPxbAS//ueGjsnT9ZjNeMUpmEfYiv3H0WlR+/LeGfZ5fOpWgYBG4feK0eYzZQbVz6M7GReDVC4f2AqNV3Xod8LIXpo/fe/QcIiPOgZlAd17YRWQN3X6Ae9fXygHkXPDJtq0QdSawPOBk7zRl2DdT1qbqZ1owwbT4t6aDsfOkhIoD6MOMXriqivMgl/90wukHxqyMqZH3rjCDaOxtYdnKT/AzLgyrh3gvo8Nt6NRAlaJl+f8Uekmu8PYtLKLdyblQSgvDSWCJWJq+VMenr2bDTw6xmjFopl3VQIHxmrovdN1oYLlqDN9VPmlqXzj/bpYBNFWv9ZBm4pwql2ZqnEOdZF4snjrW4OY8fFtPsXOQp3OPgdKod1eLHr/s88nNhQ71YbS/M9nfeV06e5bE4LSfIpX6AeGenfxONy+3WD8aqCvM6E6aFpdyb330hwY2kGpbhYjP44CF8PpvmxYvXp3Kv4fzdA64uRocxVZmALjTDng6gPrdA3k+Hh/QS3OYkyEszds7tH64Flkw+ObiiH4rjuIojkWi/t5DZwWwPtFdZK0RZBF5S/uAIHMAWKDNIaOWgTDdw+F4r/5AQiNCb+03o762/lTeKxg84anf+xd7fPivDd/h5S+JIX5ZqZOhwa5fBsX+WzHYZx869MLq4Uzirg9FDpsU1luP9Qt5FuXz6zuHXI1hpu0Xw9/urDSCUQJi/QL3rq+ZA3Da9WulHcJkJrD3eabPY7nXXEOxVnB2g+cvcciL4S8Moenw8GlXqV0p+xFLiIvbdDg8XJnnSgleU9xV4xA6LeYuwTxc98E90czkVQeA4gCsVn+c0D9HcwvIrrISF3QOfaWZipf0idfcudJha0dtTtk6VmMnoxh40n8Lv784Eov3W0qmPbeh63fMw/cLmVJw8w5bj3kT2ZvWUi2FDp/SHXzt1esT3J4O0At//8ZHHdP4ZDVQn0bsIoXoojpjVfvM9az2sf1HDdY/P4aU+DkAsN20o/0bH/Ve5+/vHNSw7y8Gp5SSQxa65pGsrZCRzgXukQi/Om0BgXTS9TAaLIRUJCA+G5yIu8yIfO+OkJl8lyqXLEJ6CtJJwubT4fw4hAWnPXI7cZQnEUmKuuw0TpuErfDqj+94Pfdq8IU4StMhNYk++tU1wtCbpxF5PknYiDDc8bKwleprQkSFIdS8ludjTbw/6yCYTuoOcZOx+lACr7NSA6Dgm2js4U6ifN85dSIkSExq7bP1tXIAQDEUvs4gptNMaKDA3AinXATdVBceTumHLOg6AN5PxjR6mLm/LLIuRPkLMs8wn1UgnXlRz8ISZdBL6Q0ozCHqDc0lBt4E83BNmSMxY0bRDCiO0kas0+zF8vunTW/2310KqCYFVO5foShqjiJ3Hsd08/J3t8V9Qgql03eu72/F2LQGYFRUixF/c33Eo+g+qQCgS3q9eV1rlPtPITJXrq0t5h4Ug5diJXV/6ohXx8EArozTf7o7HZ2TdQBcCUk7wVsBwbtUmEGsY9x9u2RFJ2ww6xqFvAgz8nlpfNQom/0tNtvhoJfUeTgOXqd8c51QCyPo0V8dvtfrX4P2AeyNXLtOc2MjVB+0yWv16eAAjyodkRFkxGIfKH2Z0EqNQBusHvWInAgmCqDxYVJmEKUg7r4bcf0zcp/YIrDAMloYFmPfnyY8+H+Hz3j5S8TiE9pzcRRyG8VNQiTXX/D59mFSVhE7i3OVsXo5vGcvAnWpzmrcVzIua/d+Vqrn+vmwH0dCxm3SpjTanf3buHd9vRyAK8YeMGyeCQ00mog1pvJAK/RA3DEX1VCFFqpYDLCJjqzkLz+rRJISgZpIb0kLiIbfFnTrSY2gDnEm/WyxaivdUAzbvMNzupbOCRhH+cBgHKdDWoBS9NXh9KY3wTKTqMKoFNY+6LlPjTi7OgHT4GUyANJBvXEAXHYbsWBvZB+KKJvR9lnIAAjjWDaObqNTHNUFyjmrpv3CZed19b5AQKRe1j6qcX0l83f5XR6e7XAjRO/N6fD7U6nVrrXrcMQ4so05q2ibnkcORuRN7uuH+1EvCgC83G31PJnt3rXD+a6qXp3t7X44t3XTIT8ZYB5CMXlfYf1IBsXLueXOozkd9vvinxcYI5Y+gCxslRi99vMcpGg6SDYI3v24YPoAkJqszV5k6MSzqOMfH/3N4fNf/oorQ96p0Z/KNi7Xeh1IQ2podRUU56dBDdfUCcq4/j3DtuZKov6341DfALB+Su0gqBrok/9n2O/pHy6NYJwTDDgd7cjzdD1UDZSRfTiUDmQaftJA+7OM7nTY/63/e9j2/Jd+ilhANjqORkvf8v+BgQY6xfsB4NiOB7h4n9R4VOTP170aftsIZrV6uKaYuqqRJj+K6IFxcxgNZhPizLGsQ68wTzNq4x87gEGj/36Dbz9/uD7TDMAtQEAF2mHEulS/sO+xOkraqdwXeKgxsJHd345a5HkOjVvDCsaw8/Ws0X4avc5t0+NZqCZMMoFB0VXwYwaWsL0R42Kw/Q5+4T6wtExe1xrJOMrheq5Dp1noM5nF/OBkwBoebe7wRTobfYeN71TIj6t2cbET+Hq/nm3jPcb9TzflWHQOd8dmpgd0I8fiHGwAaCWyRwaazZitlD/aYP0e6wGChX95Uhz1udBQ97Uae4rBdbsaTowX8fvqRYUoc3JJ78zSEOY6p8eLYhz9LiBJnYEMHeyDDn0hLJKPAU5UODmHt3kVVIaaUf7qiwqJTVdnzCJYBIYa+5OP5F6/CIAENec/HP4e3iqFYWr21DfA8ZF8bykGn33ocfe+2DHB8ZvXXqUoDmbwe2pK1gAAF/9geO35hdNtN9+QTGh828zW18oBALkoP+YC5Vj+PyAdjPJapTRPzCiHdVU0fpS1U5VGMAvzFLVIgTFS6WJNEznKNhaOtnVOCl+Qohl6jcC04OZ7LepW5gGfctPfZPznapAFzpmqcnY5aFFXISCXtZCoUI2baxt5l4vDs5RQcW4UvOujR1eNI2p7HktZy5Jss15HA/GQJRM0w8gzx2elNfR6yukOndC8ruV9CuUtCbkZ2KWI4M2dIq9r7WJptjLibnRed18OHJqzbxWl1kuZyVwa/FpcytwGRulDEXpcmAaAg5AkGlcyRd6fdADrqtcMjd9rd7PG4eE4QOIUrt22KREwufw3K5w8HJwWKbo365KVcUzkoS9UX6p3xs/W6LfiVOjEryp0hPQICwUMIx0BBBF5Y00gPCvzf7PIQq8+XWMv9Moo2UHzrMJR5voymq+ugvL5GWGHvdPmsSzG/vgw6Wxd1eWX4559P+DmZ4ZjUACuufJa8L36PfKdb0ORs5DPP/nYoROoiNpBu3cAL1ARHVB37nD5vWHb61+QwOrCSD3LrXj9reFv2JX5AZ0ghpuvENr/mjkAN5IOKCMDIX/FIB2DVshpJCpD+dRh71U/gxYGLZixU7C0Rau7UzTcx/t10bKGCjzTmOEbwIC/brWmUBxAM1Ho5PuBNxt+QJrjFjpEh3Mrw2IIj/XmO4y/4zjaTy7NHEDlk77HOtbCqhJYIJXfrMh3M4Jxs6qFZSFZR6B9Ggar18IxyQA+wRmWkB5z4rwro4qpjV2Yd0dT5G5pDvLSGmC2Qh0G2PQ1bHu13+r56L1wORh+Qkbr0Ckbh+yf2kWc1sO2zhSrlzIAYutlWlnCUS5FaWwr58TzbT5aYfd+YXMBxdjv2xq99AGcnAzne3PV6O9Jhdyri37E0gKGzlk75B0YhqC0lGdgjWyTgIlEdHrQ4eQ3RYV00kwWjmVwEOsTsYFOHdMxkeuiD0RKpQsFNqLBPLyVyuB3yi2vEppPJRh6wgss51YHVailEY+9x0pwebJ2EDJqgYjIENq9l9G8lCKwYPRpnXXCV3dBp5PQydAXNn/FTVbxkHMpEN98R+xPVeoMdA4HmTL2pvW1cgA5Y1y05XMpv5fy/13hHBNrJHsHKAajMc1ZNGZWNM5i+tNI9RgrjXKnr42YJwbbn26zg92tpPCSaqM2IOHNUSdc0d2Zslm65EeDY4DBmCzx0aczeREKbKXQVp43OAEmKxNRqpxMv4bclEnrDm7RoU3hnhG/XvapvJm+ZWb30gFYo19NIBBeu2CauTrV9TESD/d02o6F8tzoGEChxtpM6fnVEO03Va9Z5pPLQU+HLLCV7/Wp3PXlGKcC9D49FnGXJQdwItO36MRWrsOLtB3tU4fCFuJqH0ftCWAWQTZQzg5JcP7Ng8ES7S+Ps277sOmVTFFxCtgqoT1wmxRQ32oByjKIQQ1nHSL7AISZEy5b7N+T+10o35UwhfpN1m10Ct1FUrmHJHMD+ose68+EGSX1hnzWI0stgXh79yDqrAMvWQcbDQEAOwlohNN/fGSkIERGOp4m5OtxYT5uEziWkMb5+Dgp/7+SekNqirSFzg5usg6EWT8b9t99kJF0hgCJJvJcr8p3IKPo7oP7g5evmQMoQ+Fj7/WLswGIRj9Uycg3C7Zv+gBsl6gaMeKYC7IPMfuZozh0NY7ijNShGNqmpsJ1mRI2dQDr0KkhWBQeswXHBYZPNIYfGGiQKnWN8Y3Y5VAKuEa64TCRakjZzbYN+461iKyiJZeldbKLF8ZpK+PJFN6nsNzSWqJcepQMYKz3P669VD7qdSTeHzN/h4ipFtLA7iHctAABLaxkHAAjdMvd12v3asDUX6x6fPvBQPl4uB5glGfC8hnLg5Rrw/vEHrdAUOXcTqa1Ah8XnTyPowX6y2PpSbkZgO/LdwYoKiaHmzuBtEKhirI5LJ+U5/Cwl0I3odeQdMh7L5h9WEflSzkx2NWjHll8m/t0uE7uYVIGj39FI84u4QQnOvtRJEFQZzQSxR9XknVsey0gq2G9TEgiEb39mPIQWYe9rL+gxEOZ7KXvNTRL0jBVMfQ8ohVsX6P+86yCb+d/Z9j27FERhqMTqfZO6xEMaJvXXusWrYjb1VdeO4u5jQyh/qRoAa1eD9t2P6EjIQEAzrkfArjBINnW55z/8H37WxMQQtILVavcgzALsitD3g3LhliopWvSAGkhE2Moh69ZTSFgiIgZyWoBmbMHfGESKcZvCrrK6An9jMHjDef9vmWbs7iSKepOYYs+FeOUTFHScveH/Tz2/TyzKTCOGHHvMVVDfeO5TphWZGGl7DRi5xpRaRcYN/b/YVKYH/bhv8trmg3oa8Mx3jRUZQnvn32npfnHufybBtYqnm7fHqL9u9cbNI/HtN6rdi3nVCinlmTA+4T7TQv6ABCcK53C5vw4HrRbCzMlhlEtBwBWq67IPEjjVPNBCU6ecR4D96963LwUtdKH8lkOKuV8ECgqZ6eF0XQj2v8PDqjEKDqZ8etQmrxyW55JL9TQ5hUH0ghdu8pQAX/OBHbA8Ylk0sLCOX47ahF49bH0CDxxALuSJTlyrVehN1JJ1089DjJInpLOlJZOdR7onCjD3g8rDz5O3/nvhw6s3/z3LjXzvf62RP13TiUjOFf4/B96lYsma8h1QfsQ6FiqW699BcoqZr1z53Tb7TeYdeDe9ZOQAfwLOefnP8qODhOuPxux6nEUPTRTjeEBK/Fg2/UtXVE/x42j3ZgcqlCKpDzuNMq3M4GJgS7JPRfjFGeG7asWH3yLN5MNFQ2DJ00i1qOZv2vnFtimNGCgbzLLUpYNsmkAkgdhIXq330Wns2U3ot0OfzH6+6Z1n6KmpcaqIzCd3bYDu6h7LhSXzYAX7o+Ff0+XnX5mHSv/fdAZxw02wrV/fDZ0Dn16rEdZIDBmnE1nBNi6zuvdEHW/SQiOgYet6dAZkdV16GvNFLRWEZLev/EtoR8zKw1RxdNY5A8+Y/O5OLsPBuOck0MWw0rYB71HoD7PU+n0TR415wGsS12A9bqj8NxTG9QBHN6VQO6VRP2nRQyOmYBLQBJ+f89ZEbug587h7TgGQKCczg6JkU7dxP2vKx3ankUOuzsf/r9+5nGgJIPg7M1LP3QjA/jwzw3YTXWXldXTU8PnBogy64ID3vfvDIXo4btJ0Xqb8PAfDNueyWd0Z0nHXXLcI7OU7ArMREeQx0rYs/WT4AB+5DVVA9V2fxP5Dy+OjTxf038b1g4LXhSssiMEi7Z8oVxqdy6KMTyZzfBNGvHbJhylEE6Kkm9ao85l50fbluSYe8P0CaRcmmatfoLttylo5qOwUF9qG3SsLlYK2zSG0TPV9LGjE4PR7mE9YLrs+8u8ZnNNzPe/jy1kobXkxk6+NpDONNqvXSyZEp0Jsm6bz9sqaykDOKZqdL8BwMvbLd4XauKFMHnuzncl8pb7g/dONNfE/q7MAO52Es3nsCjlTcdiBf1o5HnP3B0bPNgMoSVfc840GwpvnwHDxndqiBkwVD7h7rtjfRwAqKR3IfXFANcXw/c+XMo92wY0whIizt4dKjjB92kUcVMhEd4Ro8zswHVOpUCiQEf1pw06icr7B3JdP6txeI+Rvdwvd0GhHIrG+XagkQJF96e9TArlUBU0i/7U6qXH4Z1xETjVXjt8yfPPrkwMkzYQHB6V+b8dn+tVxunHsu28ZFS7J/I82ylhck0++OvDuXzyJ0sdgeqfdA6Hxz/ZNYAM4K+44Un+T3POv3HfzoMhJvUPMx640gvhSrUQhHFKxGYfHBp+ZgDeZTV8laEZNpMhMbYwyYe3dO6W5qPaRKI0GUWnJ48eeK4pXdMua8Snss1Wn2das2jNa7bGwYecBuvQV3otrDGmA7BjFZfOj6tkAEbwi0Pc/f035Y+y7PVfyhSsln8Z7TjH+wvc82Y4K8Lp61Y7qcxGkKjfFFYJR/bHMuDlVIbzPNzsSubhxkFMnwIQxjDOMVaqpFnOyZfvagkBhC85ptOo5vLe2e0bbB9LkVQCgFdxW7JWMc7MBE/qVutrHP+4WXUIQr9MnM18DNg+GbKcWMv1+mxVZm0I9bP/+ARJnAwF/fJNjY6NgWQLdQ5Zag8QkTdi96uPa2Xm0BG43txjwgzKAaUwzC5iD+0ipgPoHkaFjZKce24yHnx/OJcvn7BCKwXYRwb7PyNtM2H7W+IwHgy7p01CJwVfndJ1ntDJb7YSrZ/urMg6W71/diLrcHfvNJN5+gcleyNMtEoqN3H5/WHbTzoL6Fdyzp85594C8L85534z5/w37A7OuT8P4M8DQPPWuW5PcKVYpzh+KTIyyGeDT4xlSIsdE3lfJ7A6AJ80yreCYlMHoFAD5jNkl2SBl9Zg1JP5d/nGgKFwmgzADo5ZgrmAQXtmuq2LYTYjoeuDRuy9L5/P68Rr0uSio7Qon8BtLqPjy4y6Fr73UlaUvwIjmhbVLQRUGwNbT2i9wTiHaQbA7QAQqF20EJUfjRCb8vy7Ru8dBgqnZwfT5DcYzPPmOKr52O+wjzVOZIgPP+vWqIGennBCyfIAnsLwYi9HMEGL3FddkYfYirBYZ6bk8XxvxdjbRjDO4XYYky4AIPz2CpVo6vM+uTVkI/bkrD92uH2buH0pfEbR+2HXaz7vEZ6LIOGahl0y8Nta9XmoCRXXAGRMJB1L+yCW+bwSsWPbI8rPrSycy6ismtULFoEjXvyBYT8ae+0H2ECj7SzikWmdVLqBHb7xJGqGsP2Hpbis1FGpy6xeAft3S9YAAJsvPTqRWm3PJIu9dqrvw8E59a38f1OCgsND1htw7/qxOoCc82fy96lz7i8B+KMA/sZkn98A8BsAcPIz72ZNbY1kMB/so4Fzps1EMZWLo4JhZti7HfpOmMnO/51O2gLGTBN7HrZLd0k6wBZoZ07BAXHaneuybqOxsVO2tNPU6PPYhjW+NnMAqfQrlJ4KrwwehYeS10JuIw9gTKXbGksOwFtDLvu14lDW44I6MJGCkDUvzy6vZQjIZl7jDEANPHJppspvfhRS9uogNOo3BXCybG66FU4whgMvt/uZjMc6dIsNa8Ag/az9GvrbVYrfn62Pcu4JacL0ijnPajrHWOm5aLax7WbBS3eoZoXhg3D1D5u6zGaoC8bPfzNj2G+BIMdQirRaxAAAIABJREFUqHZd+gCYFV3/3lg8g8A97qxTITnOhHbrXkc2etJGpSFs90HS4i/HNGKdVMaBjPDcpGFWL6BNXf15VkiJIx97lA5kJwFQ2HmNqLmIv/fbjPaUTB4ew5eh8KL9352bwfJSAwg7r1RO6vqcfOqwf0scihSBjw/KlDAWi7tzj9MfSlAn0T1loV3v0Fxz2/B3YUrraP3YHIBz7gSAzznfyL//RQD/wX3vSdkV4ans9IbSaJ8jH7ugKbOdJMV/byWiaaq5ibGDVqyezDTKH79OXHwOIyxG/c6+PoZxfC5UStudyzWdFgYYOeZYzT7P6vTQoalh6YOZplZgGl47ptNdFxTTjasiFMb3WPzeOlf9ukzp9+PmG2CZ87+0lqaIWcG34e+8c9r2VZT+iuIASiOYGMJczUT1Yval25w4ugxZAUqR9cXtCSAdmG9vhrCsMf0fPKeT0OKq24y+D8/p2e4Mp5IBMKDpU8BdP3zeg9WABQSj2WQXWUJ2kRnETODByb4Uy+Wa5dtaJarp3Ni5e3ds0IvBfvz+wC+82a1VFuJcJofdvn9QGmgwjWCtsH+iaPnjtNdInXN9q/fvVOnTPxdqjs+oBPo5/XvDfq+38p1PI5xkAMwSUpORRN45vJRi8TqrjMPqB8LMughAXQqngNBRxXgfhfmz+dzjIL0DVDTldLfmlUcvOH8rhvjB3wm4ku7g22+TyeOwlqavvXQk5yajfk2u/7D/zXcyVrLfMTCzKHMFutMCS+0kk3n4D4bjPf+DkOsb4aU3go8Rh9y8af04M4C3AfwlN1iMCsBfzDn/r/e9IWeH9sjyNgC5eDpBymYFgtXRyHtfegMYnaxCP4vE1maalzUw0yjfvl7+P4dulpyCN2JjU2MfUbD9IsVgahZaAzDwDA16DAsOQB6E5PXXjqa/gcbOUjRpxHVbF5D7kiHwfHkcTIvwKE7ZrupObvCT+YvTjM0u+53udQSmh8Iyf2o/N/z8vxp7KcYt9VvYYjWNI4esAGNnrAqazBhhm8JKBsLfsWgxDcd4vdtgtxHePLMu3+tnaK+Ji2jd/PG9Pa7k9THsY79bU/Watei95QpzicPgGdl7nxFui34VAGxWLdrn0gfAQKWJ6K6Hzz/U4+AMACJ1hEKCl2Lx+d8dzuP2XacBGn+Cvvf6bLPblXh+POsBUR6NpC1HwHFegHTTrj+rcPhAmERvy+9/G7QpjKwdlwEn35F6Ooe3MpoXw3XfyzAXykE/+l7C55JZsGZx+02ofv9OCs95m5F4XLkWaZ3Qi63iQPfbb5S5v+w5CIf5QJfq2muyevVdgTsHhXB0F077Bk4+l21n98POPzYHkHP+EMAv/+O9xxScHECQQBuC6BuqVIy8RPPOFQYPIyE7vMRG+1PDbrnkdpXiotxMdk6uhhbl/2ECwSwNTAcWjLzxIf3C/oWuapwCYaG+NH+FyX4xObgwN6iqxcLirdUZN30TU3qnXVZiQ0c2St1vydZbp8tr3Zodv8rwA5OmLxP1j8Y9wjqC+6MjLvsbEYohtx4o15/wDDDODumE0yhrG88D4O91e7PG7qLoKAHD7AcWmluVH0mq92NX2xUyAzBQSvV+MnOCyX5jtpvrVIgAMsHr4fkAIFchgcMhlb1URay+FCf2rnymz2oMO4FzcnRoLoaMm5kAOq8dvVc/L4byUKHeEDaS2su+KqqdAhV56RL2uwDH/SVLCJ83iBKNU0V0/aLC8YlE24Qeg8PqmdTNJIpPJ1ElIzxVQ88S4kZor9IdnOX7vfx5D7+X+1OCzbgqLBwa8XgelWpK+Yd45rQgzfpBODrVEWKGvP3c4/abcmxhS/k+KLefjWOUpKiuPdhudJAOYv/TNBMYKAUfF7Lqh1tqKBdvbNstOlXetJG1VftcGll431pm7ZAtYvfk5xGWWWjmslx+7aot+0wVG+220ThLiUSPZvYAjWM0+4RJ9pSzg5PrkimP0Xk9da0PRL8Mb+m3L1+cUWBg/TIuXa/5+/yCA1hSebWMGjvGkX/n2H/53ZUZJB/VIcznJqBIbPDvbdcoLMSA4mx1KPpQppu7MHN4T3jV1T80Y/2dahVL57D8hivfqyzFrZ53Hs0f4JoOM6pcVGcTzTXkZ3jRsna+6BMpk0Yu8Sr0yo23hX/CF2QL5ex0ZCMDNdc7Vf5MEkWnZyuAtEoOfLmq0fEnFd48kgN2pckLgMI52x/U2F8wAx32P/8QePFeGO1/90HWQi9nAGCd0J3J+fG7VglR1D0vvjd85tUvAB0lp28ZlRPbz2rEOf83rrM6FHb45qbUHsnk8QevUdBR2EL1dSl0qz7R41JojlIMjtuEt//a4Dx/519qdNvwBofHf09YS39sfKw3ra+VA3Cu6IlUIWLNcY8TCMK5rA+l5fRPJZ0ta2SJSmilf5c471z3Yf/2fZyNm0wmMD1un8JMi8ee57RQZ7fZDECHtxtKZx/GBfSc31CjkEUSjutdSV8puLcgub3kOJ2D3uxxDk8vQj/39UeMriejbJMBqOGn/o8dnHPP0JelZRlXNOz8u+8a7MXwvXc+xMfbqsNtNz525YrciB0IcyMTvk7q4aKwjnB5stf7lGysykcVsBt//3kGQy0groCEW/ksK/IXsuDXqRhMPjOrNWmoEs36pBE4HVXtoxpH4s6p92jI5RdHlF40GmSw+ct/vkH7tjxb7CvxVenolajfb3pk6gPJPevFSB+fhOIcpHh7/V0M8s+AZiJxncFEiTBWfNhp/wFlHw4XDpmRPKdpHcqMAEbnK46NvMzIklH04kyaV05hJtX7v/aa8bIGMOwrz5E8E8eHpeDbi7FPVWH4cJ6wS8Dnf1xgPoF+ROUeqSky0E6aWPLqp8oBlEawENJIewcwBtOlkdY8X1OVzwVmziLEozTTQs0sJ2MKuPcYQMvbn9YRLJef0amVDijH8LMu3sqczxJGXubqyvHNsPVk2D2E0Ub4vfxVhxqLzniiZG1dznEpA7LYLxlBbLtXOmg2+LH5baY1mKXvNRLcM2JvU8rnoqLqZJKXXUv1my55Nd5WV4cRuu3qXZLHKFTcIrFxczc8+WfSkUuHcL46aNFWta5cVmM/ZflMFyfW2cXBLvwOx65SWnOh65qRkOvhNdYCYnOEY5euWJtUOZVOIHafrho4GfVYixF3zxzid0pgBgCpBnqp5WlPyGmvHb28jaomohNxs+rL8WzedBbLXF95FLqLqPcpp3qlVRkrufpcvs826E1OlU3sg973ZNeEvUMWKrSKwHE4/c4r+4iZwHv/R48f/Ktj4bn+JOOJDI1/+keyHouUV35+e5oV6q2Noie7fJmorp851QAiB4Dy0HFd9IHYG5DrnyIIyGrANyGqkbfNYQCLtizIziNGLmtERsZm0kw17DsxwD4WiMbIKw/HKsa5XzAohIV6KzJnqJ/Thi2PPB+kbuzAkiyAjr00zVdF92h+UyxmAuoAoHdKlqjUwlJF4sGVrIEPmOms7qlxQjjpDVpCSxG69inEAo8VXn/BuytXIn+ATJ8x9DOFfaZLp8mZDl9i9YyY6xA1GOG9Nkh5j4XXknHo18LQaULE8bUMSr8YQrzr26Gg+s7JjfYLhAXZE2YKMbtFPaBmEgwB5R6wQoaWzsyLoY1gAgW9FvXSzhhMrRO0NZxEzCwWt9WqZC1SjD1eQENUDQQeZJVt5nFdHdWghqtilpghnHw6OLGrtwvs009omO2THl4kG3TmbypNYe1DuTdeBfQyiIUROzJQc+zjlo4qKbzTcX6ARNSr5w79adDPAIDPf2WlAnGR5Ioqa1Ru+fs6G+ATp8en00irYdv6eSkMa3bSmDrjlnWEYf/tZ04b0LS43f8UOQDnJoqbk85Oy9qZdsKOJIUXColLBtDO9Z0N9k5Qjz11DkDBx0cRoe5fjjV1QHbQjJ5HdrNiccppdJzZuU8avLJh7ehrs3dhtJ3G3PcOrmYGIO9Nvkg/G3E3HfK+ILinUVd7T+1gITsDyvW3vWEF0ov6dy0hVakBGBlw1gI4OtR8bunqDeoANGJOFW6FhklHvK66mRhd7ZKyf2xdRgu8EuWvq04nUun+bWHZcCAQa1wxO1RyyXZC1Uzwi45fu+LN97FS6MBADGgmGTJMPUodtnThHi4qrQuwS/7Q1no/a+f8aYdeCsg89/5BDxwnZmYbS/fuC9EHelS2nYpC5+3bvlCRBRbJLSGrAsFEykMcvU4Vi1KzWH1Ro5VeAkbxLgfF9KkAmusEXJdjA0BeJ4V3yP+nnMTxcdIBLs0ruV8eZM1AKP/Qn2R9D/sQcu0VliIsGg5FyC02vMmdPit0GHFdoB/WBdiT2J2brmD5TPw01QCAPNJ+f9NaZuwsd+KqETWYxayb1gyi0WMYVGg6/hG5bLsPErCwVGEG+dnn98mP8H0A6F35/32Sypajn8vp/WiLJIcjkCSVHPlcHm/ByXgzf1fpuTzezkJFcwhuNl/BFLdtdrY0J3nK+R9BQJNO4GFK2vh3jXA4CpeO3b633RqvJ7N2T+sWfR6LzFU+alGVUFFnBPde3Q1R/skqYHs2VMTPBQI6Ox9Cx8oVHSnWuPoU9HvYov4S5Ggzj2Efr5mKfv+FYTlovWY3Cv1J1Nn1QSN2ijHG5HHsx5ly1fRDgRdAL+wZrJISNxKbv+qsjJ92JbOD26AFZGW+HMrMj/074+c93FaIJ9QCEsbPZxUOF+NAafMUaIWuyavVnSWsXrBGJt91nXXWLqUY4mlUXSJHETwRbOsukzoK3xX6KGsLvVS0V88dDm8xspdjtQ6bL4fXd+/xoSiUUzqF3dvQeQU6k7ovr3uT5QAYS1TLd0g/TTUAwGDFixHmOOp/0xoNesnFyOrrpvjK/6sDMA1b7ULHLt+3VBeYaurbNe3ctceN2Sv0YWWpZ1DRPR25DmNDzf1nejo+lzM2l1ENv4GPplLayUBANKwOudBJCRm85D5FUXQ6VnO6pucOjLn+wLIDsFnikngaV+nwrXCgA5CC766v8XI3FDBOpcharQ6jOgy/Pxd/6yoVqi+bpFLyONsMDoANhufyf++KGJ3OK84eK0PhBMbNaXZZBzHs50xHOzn8pVZBKCjcFEdF6nBYs4cmK/8+iMGqq1ga+8gWQ5FxiF05NzaUtbUY51yaOFtSOF/VyJIVJWH6IDmd3NWL8iYhHtyUiVwsArfnGbhlI9Tw2s13st6z1P+J26QzeXWg+6rIx2jh9dxrvaoTKQb2svSd0wykEzG6cHDIYpx11OShRPGErJwHGsHt78TZ5SZrjYz6/vt3MpJE/pSiWL0Cbr9FnHX4u/mM2UahhrKbmvWBN62vnQPwo4h2bGTp+5eKot7Q8fqFQiIdgcWWbaQ+pV/2yc8MMB+m0bzghXPpTCHPZg3cZ0nPp0gol0xhahSdL6iwMwbd/t9+lvPZ7CeONSSts2iDXWWwRB7PJ7jJqMecLa7PTK3ARnQoFx8OD/GLP1GuibPXmrOGDeNpmgHZfo3a4P5TvL920cxnnjsAGn4t+OageP+tyDdetWtcvRxafJsnAwnbUoht1M17wk7z0ilZYggzjKaSRPuUYrb3GX+bY6qwSlLIJAniDZ3AB/3c+XelY1lXvVJDtRM7FKetip/C2llXPW6JX5t7cyty0N03xREkp1RKMt5wCPBiPAnxpOumBCGc23HlcRQVTGYeCAkqsM+xn3KM/iSWyV2Ubz6JcNInoCqeb/Wlh+C17B9dobUqh75INhwfy/3fO+3Y7WWAi9TTUd94pa0ysPFtmStMo398DB3Mboe5c8g7I/w+FPiI1E/fOgP9DH/f+6sv8f1/dwD6k+xPB1TflH9HKUz7q+U6G9fXzwGYyH9qlONC9LyE8dsoewlv13my+mfO129zWIzk+ZlTB2C3WchoeoyY/IwaaaN9bfFegIXs0ilZHHrv8mwyl/dGvtnM1WV0FiqJvrZZC1h6s/us/7bBe6mR0DnkIswi69kvs5lp/L2B4dowstbMwmWltVoJ6PEgGGr7jCN/j4T7EkIL/QAs+A5P+U5w/+v9Gm4COdpZAmT3dEZym3i/dxl3x+F4p5uxyJs9dxs8TBVihzkD0hOgE+TSLKNJyErT5AomUOL5NqHXoT8qH33alwljk1GPTdWjlxkBVM/1PqkGTZb7qjtUGqGrs3u9RnrEAGU4p+oqoHtI6ihplUkJBswi3GmHyKi5ndS0qiKpfDg3sKwY+/pGIvt3ipMhxOM7p4ksC6nVdUAlfSrHd+TcQ0aQYS809nQcLgY0Uhegke4ukmbKJ58Ob7j9dlLHorLQK6c1Da6w81ojoCqoi0AlkT+ftY/+5UfwVAaVWoFyGqoCUbFH4ydWC+ifdsUFNUrCCMmIolkjYSEVYHAmduzjbMmmPs1x+aXC7BJt0b6mejIGzpkWq1N2ZXbtPUXeaLKMJWgjaORPmieQUSI1LjXerBlVViBPUuttRJYeAhaDnc+FVWOGs/Pf+tsAAOEAFvSEobBeMMwpO/QKx5TrS8NDnnvlUuH6G40f5fpbhlBO5d8wXdqjzy0ZwJ04gGvp9m27Cg8eDl2xlBaxukNFcK9MWLvaDVhAHSJ218O/H773snyfiaFWATaj57RE+Vwadm8Xab/lOqTZAHjvMtrIcxbIpC4sIAYNUV4LLqEWfj9poHUdER+Mi8vpUKE6E50tyR7264zUsRdFznGbAKqPssP2rNfIv/5EZh5se6WaVtT2ES0g13oVSHOm6Yy8fe2SPfqhGQslDvBHp+/RzHudsH4mTuNtOqyshpoRvUI8TS7zpyVi789TIVC48pfF5347bNx+6hT7p/PwnSvS03+MKTp0yDwPeHxYZgcTjqLi5+GtDJa8VlKYNpJVi+tr5gAKFGPnyeojsdAQpbhQnDN5rFHmA2mjbzsspRhqeS17NeR8T+fKAzt1QLaQa2EPGrloItxqYtBzdrOHfdDiEehrgRquk7smA0Lssg5LMwZvsGd2la4Lv5q0PO+ydmBa2ewqjB3A6JyYvZwUB0Mq7/TaAAWLjtmr4XlwMtAcmtCbYTtG9kE7cC32/+ZCGCEgbfpKATvR+bmWwm9T97hY78v3BkZzilV2I5YZy7tXA6B7WLe4+L+k6evXSpMWYSEubRbri/LnXoaz1z4aGYvi2LqFr7XUWMf7NOLNAYUdokTHuqewDEoU3Rn+PqWZVV49FEiRwUM674cJXAC8YPz5NOq9QApnd94h1Iy8hRnUeXUKNJQ8Vv06oHtbSPTEwr/f4O67cv8JzTPceER5QBSLP0taP6BkQ38asX9brjHn/5rLo1nJoTibTpQ82cDl2tIvw2aucHDoyU9XB2g6fDeE4LIOqlLZlSapgujJp5DzLPWFKK+dCpV0935WfbQ0cQ5vWl8rB5BzuZktLl7xJjGiaNMVXcHM9SHx5T2dRqzzByibohVfH7T0ebzxAxWTL4aiIkBeGDKFPunRT4qmwSUEPzaeKTtMa6QxFQfEB9BOPZtCO0ilHG3rAlPJ/eHzaaDlIWoiMrOCphQGp2qctY/oRNsk2u5suQZZHilquKyqWITaFuYB6JyDLiD2Ywik8X1h/yjnP40iX25bavgCBuOvg1MM5fNa4BuOXzzfHHAqjVNLBXdmALu+xl1HvZvyg1394eG93zbDhJ5rl/GYXHCMlcJI+7uVfteiOFuOO6NBw2Fdc7JY+c7dxLm2sTICefI99uWZ4b3Wd7w2QTvAvbnXMrMNOoAmlnqPnmQGBJdPvBdDhhdu/kgZVp7jVuoIrvVa4OUkLkbCmy+B7r3ieIDB6NKwM+qOW6h+ECGW48OeSSEe/P3htZe/VJwGHUD1uvQ/sAjN42++dIMkNYBWoJjq1hcHIMY5NcXJlM/P6owqHUyTVdyNcKuLHkH+vX9LLt3B6ewiy/4BhkxEVc3d5O8b1tfLAcCNGqKmcEPRuPEmKh9jh8A4jebx7MQrHRe3ECnxuG0sWvo0OvZYYVJ8HQqZ4+PlXIwcU3dU5XOL/k0x5ApjxaLRH03mM43uCg3UzcYu2tpCKSSXKI4Gpq4jkhDRbcduyRqSHrfAQTQ60EiRMFItOPG67pQFw+EzNvuhczrsGzVK7JLdhG5E/+TfpSHvXGViXDGIdnIWMIizXR+GyP9OoJsnp7d6nlamg8aTRf0uBu26bR4d9DtuheLZTI0u5jCfveey3If2e90n3cHPG/ajY7HNhsO2Q1/hdHscndPl9wL6n5/Uo9qiSdRL5L2WTl/nMjpO2nrIgm5GPNBpS1dv5+A44pHW6OjhVA9fXmsDUj357RLKDAk+T+I44hqlUZFZ7iYrWUE7YKuMJDcSGTFHl1U4ci/F2KHbXZwSDfq+SKBkitJJ09X5R8BOlDqVahkzNl9IXYLUz02EFxu0/XB47fUvZv0MFqvr107HN/J44c6jEkbS/n35/Oh07CQXFUNzKNkIhRd/0kdC/mOtnIHbfQG1lN9MyMIUORnlclsfy0CUlfCrnQv6evmMpM7AYvWpmUT50evnJoF+CFPE6HX60VJHphXssu/h/tbw63d1pSloODc/cgYAcEBlsqJxgbTPc2ZQyk4fVK6qKewaOp1V0xX2kXxW1wf9/lyWVlopXRXK+aYRURE/M3uBUXTlU/k3o80XKzTvDbnsthoM0DZ02EqotHal+YuNX42pC0RjDIdrSLy/wk5A0lv5+/K4xbMvh7ZPJwau/kbUCLw1ejpMFmn0nRt08oFS8D2rj9ivCiNo+I5RryP7BdoJzRcAqnXJGOgA6GyW6hhAgW9KN7PT54QrG+fFhrDXvz/idCIaR0cdk9OGrY3UQpzLAFlA7wsU6hMgGWAr9/Xqyxr4ucGKkQ68/tsn2P1RgW8k2sc+oBf8Qjnsbx+1MLz6bHit/WD4ze++FfX3IbumikASfSKygao7j/5SIK13xWHcVBqpk1OfHXQmMHV0urOE+loyn93YTrz6WQ9HIT0OsIml9sACdWq8OipmBb4tUTyj97gqjCA6h1xlNGLQ9yRS+FLgXb0Y/vanZf8scBOZRwtEsdH6mjkApzKzFm90GEfRPiQF8Ho6gDYoxjiMdB8WjWjh13t0YhTJZbZ6GspCANBMrp5G5H2YpV7JsHtsBB6NuiYwROBTmeUQ5tj6SPiNLIy+9N8WuiALn17ZHfz8GD2mgsJN3c+iUvseHqPrAkI1Ps8BqhpnBUDBg3v35rtxCVtXPZ9rj/qb7PYVKMpFhX4KHbS/F+/nsnNzibdz4Mrr40Z/u/q9od5gKacKo6RKz+8gyp6bpps5wMonzV5aU9TeCzOozHIoImuqbTSNiDFmvi0SF6bf1VKdXcnUZqtJs3tLB/k4YKrhHVxWFlAw96KbqJGuXgId30t6p0OREuGzUJdnllG8r5Oydd7/3wfD/4N/iwdOyOLQPfsRKsBRZll2W/8g4EbOUymq+4BKIm+d+LWNyFKQZuF1/0FCeym/o8A3NNLtRVZ56XBTIB72FxCKqW6LRDMLv6nJGvkz4W0fJi0m29duvj26nGheOTXqPF5oGfU7/awj5aDn0lCj9WN1AM65Pw3gP8JQqv3Pcs6/ft/+OTmkI1kLCZ2cfp50mlYr6IQpRp2594iEwzkH2EIy62IK9T2WVsoIPZZ0l+/mzcZ2/sEgilPqCveYDkgj8OQUZ7W463SIer3u1aD25jx4HH1w+xKVKjxWjSP34bOKA9CiHuGMutcicK81i2LYNetow2ybXaN5APIyf7uuLg1xM7psmLO16pvSgUrjOOD9EsW64uyK4mepAfAZ0HGiI87/YIhvxAE8uzrF5eMhYt0InLIO/Yxyaum7e5E/OFm1iodbqIxZma1NcZrWdNUhltGNRuacmP59Xd8AFudLTH+fYCnJ/B59cRSzupBPSpfkfeRc1ihWmTQG/1cmUTP//O7MPHtGq4qLssmteT5f/tzwO+VIobzyHmr0h9Zp4ZaU09PPM25/dlyEzSGrDLQuV3j4bATbA+q0CIGupKjaXWSFjLKgA+GVK/szEDoENK/l+1zS2WWN/PldU5WLCB6dzV46jgFth6DuDwCdm0Bns/miDIxn09lXrR/nSMgA4D8B8KsAPgHwN51zfznn/L03vilD53VmVyJ0coRZbLT6R+lAPfEM8jqTeFrX+lIskh8uJyBxrBoNdR+Qu/IeAIjbqNxwOgq+DyEjso7AY3UO/akYOV8McJoMtk4xIB/Le4bvk3U4ikJFvQc4DJtOZl9pRNHVhZoJDNlBoX+WTCWLKiELdN0moA3jh33kABi53VTo5bc4Cp5ch0ohilExV86veiZ8+Yo1kwp9Goco1inw8/fvZJxX47m2tZF+LgNfEn6UYS9WJ4fNXhRq2/71Uzz6tY8BYDQHetpYxfGJAOB+e6B8VH/kWuUbtlI0bnxU6qhq8LsM3IwbsbjsZxGe6XLAKs+Hv0xXQlY2m2UNTZ1GHaL+Tj3prLnAR+qwGey4DC8wntX+p7QBjX2XimYQ7/Hd+wlOnkEWefsHuRhvqRlkn5UlxI7Y1IYCs33DZCPAULTm8ynyC/VNhdySpSPF3V906mQYYWc3wDvDeyQD25TO4v+vvbOLsauq4vhv3TszUNqm0BawlIaCNPiBUsgEiBpfJAaI4cuYoBgxGMEoiURJBEkMxAcDisYHI4GAQUIkESU2pAqI+uADHwULtRaklSoFbAPStJTS6Z2zfDh773N6e2fmdubMnFvO/5fc3HP2vfucNfuuOWvvtddeO+6nS8fSitpIzM7ZfqeVJrDjiCUbKrmD4lxEC8bC3gcpxYRlpZX1+Vtrf5EfKGXoHskjiwBaMebfizpppBT+hbKRYkQR6w2yC+hsYHPYGQwzewC4GJjYAIxberpb1kqz+2nj5JgIqu1FTziGdI040d8Rf4jh3ZYSRUUDQGbJ3xeHeJaRdgSKvr19S6DTKuoAaZ9TjsjSBF7cpHr4bWNfNFAxV3qnlQxE1AfvtFLH5FRtAAAKy0lEQVSdobCoY2xem07Xw95Lva2Yp6W9u52GgJ0QL50e5qWRRUzfOz7WTveKirJ/YTv1tsvzA61W0fOHPLIirkRMYYZZq7TpSKqajFZMWmWlCfLJEvQlozOSlXrUMcpnalfPRJRHGDHiJj6cd61ylqf9nw82Iim1c6fowcdQvhihVP4bWpYVK3rHi/aMHY/u0MuhVpaMXHT75Un2YpDC5D27uBCsvFvdQSOAVrE2IOX/GSom8KMs5R59jP6K2T73eZEKIenLkDMe3DFpfmhhJ+l4dGj5/HFGYnqI6NLttGiFtBCduL7gnXb63+pE337canK8XSyODGsOxha1aMc9BaJr5ZhxiGmr3wo7rc3P0oKuuDXj0K7CV79vcag85IyEtQGx9x6ziLb3tFIIa2Tf0iyNMmKun3ePc8aOKowG5HsBxJ9kbHGhx0eFxWN7l8V7kfJmtcMzzoeK51yMd4gZRfeckI8u8nuFvytuwjQBdRqA5cArpfNtwDmTVTAnZeDzVmHRowVMkygLLBmAstXvzkbZ2l9axBF7tpkln1qcUCErfGvRSrf2l7ZEjA/7UC9rW7LO8UeyjBQaWLisLFlq4kKr/a2DegfeaaVRRnIPdYwshouW8q5EzfKS+yaWx3/otOfv/sKfmHyxpfUVUTWz8eJxG0P/GC65AEqktM3lNNhxLiUk7xoaOvDhV6a890HMRz+05N2Uv74YAXTShG/3jl8TkfZfLo0A4ire3THZ23Hv9twxLl0jzgGUggeyRcUWo91hogeMhOJEr2Wptxvv0evBXhjHwrBOZfiyLtdGi2zSFeNFBtDC4CX9KC8YjD32GKM+bsVWn/G9nTHelX7YWhkeXV+xdzzsKZzU4j7AY+1iniGGTu+3FC/fOTLeI7pkPMXLJ/s2kuXXoRRyudDTvESWVs5achHFXP7tve30HOkcHf34TpbyF5HKII/UiQuxkmtp2NNxaQnFAXUARnZaMcqJ0UWlB1QxQZxhR+Qn83YEg7K0eMjH50PKMtr2YlQSYmXm/Wdyl+HUs0izRy/JDtJuM7vazNaZ2brxPVOsahCHxuS6IcThR6mj955ilv6uOg3ANmBF6fxE4LXuL7n7ne4+6u6j7fnzuz8WQggxTeo0AE8Dq8zsZDMbAS4H1tQojxBCNIra5gDcvWNm1wKPkMdM3uPuG+uSRwghmkat6wDcfS2wtk4ZhBCiqdTpAhJCCFEjMgBCCNFQZACEEKKhyAAIIURDkQEQQoiGIgMghBANRQZACCEaigyAEEI0FBkAIYRoKDIAQgjRUGQAhBCiocgACCFEQ5EBEEKIhiIDIIQQDUUGQAghGooMgBBCNJRaDICZ3Wxmr5rZ+vC6sA45hBCiydS5I9hP3P1HNd5fCCEajVxAQgjRUMzd5/6mZjcDXwZ2AeuAb7v7WxN892rg6nB6OvD3ORBxpiwF3qhbiD6QnNUiOatFclbHSe5+bHfhrBkAM/sj8L4eH90EPEHeYA58H1jm7lf1cc117j5aqaCzgOSsFslZLZKzWg4XOXsxa3MA7n5eP98zs7uAh2dLDiGEEL2pKwpoWen0Ug4Pt44QQrynqCsK6DYzW03uAtoKXNNnvTtnTaJqkZzVIjmrRXJWy+Ei50HUMgkshBCifhQGKoQQDUUGQAghGkpdk8BHmtlTZvacmW00s1tC+efCeWZmE4ZVmdn5ZvaimW02sxtK5YvN7DEzeym8H1OXnGa2wsz+bGabwne/Wfqs0lQYFbTnVjPbEGRZVyofpPY8rdRe681sl5ldFz6rPLXIJLL+0MxeMLPnzewhMzt6gvp16+iUcg6IjvbbnnXraD/tOac6WgnuPucvwIAF4XgYeBI4F/ggcBrwF2B0grptYAtwCjACPAd8KHx2G3BDOL4BuLVGOZcBZ4XjhcA/S3LeDFw/CO0Z6mwFlvYoH5j27KED/yVf3FJ5e04h66eBoVB+a682GRAd7UfOQdDRKeUcEB3tS8651NEqXrWMADzn7XA6HF7u7pvc/cUpqp8NbHb3f7n7GPAAcHH47GLg3nB8L3BJXXK6++vu/mw43g1sApbPRJ7ZkHMKBqY9u/gUsMXd/z0TeSZjElkfdfdOKH8COLFH9UHQ0SnlHBAd7ac9J2Ng2rOLWdfRKqhtDsDM2ma2HtgBPObuT/ZZdTnwSul8G4XSHu/ur0Ou3MBxNcpZvsZK4Ezy3kTk2jCcvGemw9YK5HTgUTN7xvLUG5GBbE/gcuBXXWWVtif0JetVwO97VB00HZ1IzvI1VlK/jk4m5yDp6JTtyRzp6EypzQC4+7i7rya3pGeb2el9VrVel6tOsq4LT19OAMxsAfAb4Dp33xWKfw68H1gNvA7cXrOcH3f3s4ALgG+Y2SdnKs9EVNCeI8BFwK9LxZW351SymtlNQAe4v5eYvS5XhUy9mIGc8Tu162gfcg6EjvbZnnOmozOl9iggd99J7vs9v88q24AVpfMTgdfC8XYLq4zD+46KxJyOnJjZMPk/1v3u/tvStbYHJcuAu8hdBrXJ6e6vhfcdwEMleQaqPQMXAM+6+/bStWatPcP1D5DVzK4EPgNc4e69HuwDoaN9yDkQOtqPnIOgo/3IGZhzHZ0udUUBHRtn0c1sHnAe8EKf1Z8GVpnZycHSXg6sCZ+tAa4Mx1cCv6tLTjMz4G5gk7v/uOuzSlNhzFDO+Wa2MB6TT3ZFeQamPUt8nq6hddXtGa7ZU1YzOx/4DnCRu78zQfXadbQfOQdBR/uUs3Yd7fN3j8yJjlaC1zDzDHwU+BvwPHlDfC+UX0ree9oHbAceCeUnAGtL9S8kj1jYAtxUKl8CPA68FN4X1yUn8AnyYf/zwPrwujB8dh+wIXy2hjwbal1ynkIepfIcsHFQ2zOcHwW8CSzqum6l7TmFrJvJ/fvxN71jQHV0SjkHREf7kXMQdLTf333OdLSKl1JBCCFEQ6l9DkAIIUQ9yAAIIURDkQEQQoiGIgMghBANRQZACCEaigyAEEI0FBkAIQYAMzvFzO42swfrlkU0BxkAISbBzFaa2d6QHGzW8Dxz6Fe67j0v5I4fM7Ols3l/0Uzq2hReiMOJLZ4nB5sxZvYR4AddxVd5nuPmANx9L7DazLZWcW8hupEBEI3CzFaRJ+NaAPwJuMzdTz2E+ivJUwH/FfgY8Cp5TvrjgT+E8nPJ0xb8AriFPEXxFe7+lLtvIE8oJkTtyAUkGoOZtYFfAt9y91FgHnlumUNlFfAzd/8wsBP4bCg/FfgpeT6ZDwBfIM+3cz3w3SlkW2JmdwBnmtmN05BJiENGIwDRJC4B/uFhFyzyHbB2TuM6L7t7nBN4BlhJ3vN/OfTwMbONwOPu7ma2IXxnQtz9TeBr05BFiGmjEYBoEmeSZ3KMnEHuqjlU9pWOxyk6UuXyrHSeoc6WGECklKJJvEnumsHMzgG+BNxuZicBXwVOJt//9Yv1iSjE3KERgGgS9wGjwSVzGblB2Oz5xt13k/fmr6lRPiHmFO0HIBqJma0AHnT3c0Jkzy3A1919T9f3VgIPu/sh7V1cJSEMdNTd36hLBvHeRCMA0VTOIN+dCWAt8D/gRjNb3PW9cWDRbC8E60VcCAYMk88jCFEpGgEIIURD0QhACCEaigyAEEI0FBkAIYRoKDIAQgjRUGQAhBCiocgACCFEQ5EBEEKIhiIDIIQQDUUGQAghGsr/AV+utozQ286eAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure()\n",
    "plt.pcolormesh(dyn.qz[0, :].to('1/nm').magnitude, delays.to('ps').magnitude, np.log10(R_seq[:, 0, :]))\n",
    "plt.title('Dynamical X-ray')\n",
    "plt.ylabel('Delay [ps]')\n",
    "plt.xlabel('$q_z$ [nm$^{-1}$]')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The results can be convoluted again to mimic real experimental resoltion:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "R_seq_conv = np.zeros_like(R_seq)\n",
    "for i, delay in enumerate(delays):\n",
    "    R_seq_conv[i, 0, :] = dyn.conv_with_function(R_seq[i, 0, :], dyn._qz[0, :], handle)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x576 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=[6, 8])\n",
    "plt.subplot(2, 1, 1)\n",
    "plt.semilogy(dyn.qz[0, :].to('1/nm'), R_seq_conv[0, 0, :], label=np.round(delays[0]))\n",
    "plt.semilogy(dyn.qz[0, :].to('1/nm'), R_seq_conv[100, 0, :], label=np.round(delays[100]))\n",
    "plt.semilogy(dyn.qz[0, :].to('1/nm'), R_seq_conv[-1, 0, :], label=np.round(delays[-1]))\n",
    "\n",
    "plt.xlabel('$q_z$ [nm$^{-1}$]')\n",
    "plt.ylabel('Reflectivity')\n",
    "plt.legend()\n",
    "plt.title('Dynamical X-ray Convoluted')\n",
    "\n",
    "plt.subplot(2, 1, 2)\n",
    "plt.pcolormesh(dyn.qz[0, :].to('1/nm').magnitude, delays.to('ps').magnitude, np.log10(R_seq_conv[:, 0, :]))\n",
    "plt.ylabel('Delay [ps]')\n",
    "plt.xlabel('$q_z$ [nm$^{-1}$]')\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Parallel inhomogeneous X-ray scattering\n",
    "\n",
    "You need to install the `udkm1Dsim` with the `parallel` option which essentially add the Dask package to the requirements:\n",
    "\n",
    "```\n",
    "> pip install udkm1Dsim[parallel]\n",
    "```\n",
    "\n",
    "You can also install/add Dask manually, e.g. via pip:\n",
    "\n",
    "```\n",
    "> pip install dask\n",
    "```\n",
    "\n",
    "Please refer to the [Dask documentation](https://docs.dask.org/en/latest/) for more details on parallel computing in Python.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Calculating _inhomogenousReflectivity_ ...\n",
      "Calculate all _ref_trans_matricies_ ...\n",
      "Elapsed time for _ref_trans_matricies_: 2.394416 s\n",
      "Elapsed time for _inhomogenous_reflectivity_: 39.426702 s\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "try:\n",
    "    from dask.distributed import Client\n",
    "    client = Client()\n",
    "\n",
    "    R_par = dyn.inhomogeneous_reflectivity(strain_map, strain_vectors, calc_type='parallel', dask_client=client)\n",
    "\n",
    "    plt.figure()\n",
    "    plt.pcolormesh(dyn.qz[0, :].to('1/nm').magnitude, delays.to('ps').magnitude, np.log10(R_par[:, 0, :]))\n",
    "    plt.title('Parallel Dynamical X-ray')\n",
    "    plt.ylabel('Delay [ps]')\n",
    "    plt.xlabel('$q_z$ [nm$^{-1}$]')\n",
    "    plt.show()\n",
    "except:\n",
    "    pass"
   ]
  }
 ],
 "metadata": {
  "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": "3.7.7"
  },
  "toc-autonumbering": true
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
