{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Dynamical X-ray 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",
    "Refer 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 dynamic STO substrate\n",
    "\n",
    "substrate = ud.Structure('Static Substrate')\n",
    "substrate.add_sub_structure(STO_sub, 1000000) # add 1000000 layers of static STO substrate\n",
    "S.add_substrate(substrate)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Heat\n",
    "\n",
    "Refer 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": [
      "Surface incidence fluence scaled by factor 0.7071 due to incidence angle theta=45.00 deg\n",
      "Absorption profile is calculated by multilayer formalism.\n",
      "Total reflectivity of 58.5 % and transmission of 0.4 %.\n",
      "Elapsed time for _temperature_after_delta_excitation_: 1.493500 s\n",
      "Elapsed time for _temp_map_: 1.644736 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": {
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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",
    "Refer 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": "b79b1364991c4ff5944cc14c44390e60",
       "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_: 9.359035 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 simplified, 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_: 19.991299 s\n"
     ]
    }
   ],
   "source": [
    "dyn.energy = np.r_[5000, 8047]*u.eV #  set two photon energies\n",
    "dyn.qz = np.r_[3.1:3.3:0.00001]/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": [
    "Due to the very thick static `substrate` in the `structure` and the very small step width in `qz` also the Darwin width of the substrate Bragg peak is nicely resolvable. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "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.xlim(32.17, 32.195)\n",
    "plt.ylim(1e-3, 1)\n",
    "plt.legend()\n",
    "plt.title('Darwin Width')\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": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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gLApFFxkQQiGEuEoI8ZoQYqUQ4vK+no9C0e8oPwXIVq6nAJMBf5OeOpdF4R+uvZRFoThNelwohBCLhRBFQoj9bdpnCyGOCCGOCSEe8TSGlPIjKeXdwO3AjT04XYViYOK6+bewKAL89Pib9E0roLTjyVrhQIXiNOgNi+JNYHbLBiGEHlgIzAHGAQuEEOOEEBOFEJ+2ecW0OPUx53kKhaIlLndSixhFgEmPv1FPo82B3SGbjyvXk+I06dE9swGklBuEEEltmqcDx6SUmQBCiGXAfCnlk8DctmMIIQTwFPC5lHJXz85YoRiAlJ8EYyAERgNO15PRQIBJD0CD1U6gnwHChsGBj8Bh15LwFAof6KsYxRAgu8X7HGdbR/wMuAy4Tghxn7sOQoh7hBA7hBA7iouLu2+mCsVAoOIUhA8HIQCot9jxd1oUQPPKp9BErThgTWFfzVQxAOlxi6IDhJs22VFnKeXzwPOeBpRSLhJC5APzTCbTVE99FYpBR1UuhDQ/a1U12BgWGYjZJRSuOEVIovazMhdCEnp7looBSl9ZFDnA0BbvE4G8PpqLQjHwqcprdeOvqLMQ6m8gwKQ9CzZbFE4xqcrp7RkqBjB9JRTbgVQhRLIQwgTcBHzc1UFVZrbijMRmgdriJqGQUlLVYCPU30iAn2ZR1DRqmdpNVkdlbl/MVDFA6Y3lse8Am4HRQogcIcSPpZQ24AFgDXAIeFdKeaAbrqVqPSnOPKrztZ9OoahptGF3SML8TYSYjQBU1Vu1Pv7hYAzQXFUKhY/0xqqnBR20rwJWdfO1PgE+mTZt2t3dOa5C0a+pcnptgzWhqHSKQqi/kVB/p1A0OC0KITSrolK5nhS+MyAys31FWRSKM5Jqp1A4LYqKOk0oQvyNhPhrz4Iu8QC0OIWyKBSnwaASChWjUJyRuCyKkHjtbQuLop3rCbQlsipGoTgN+mp5bI8ghJgHzEtJSenrqSgGCCt25vDahkyqGqxcPi6WX88eQ5DfAPtaVOVrcQdzGNDa9WQ26jEZdFQ1tBCKkEQtj8JmAYOpL2asGGAoi0JxxvKvL47w2HvbmOHYzt1hO/li624WLNrStJfDgKHKmRPhTLYrq7MAEB6oWROh/sbWFkVIPCBV0p3CZwbYo5NnlEWh8JWvDxeyZd0nbAl6hbDqYqiG281G/lF4HU+sDOYf10/q6yn6TnU+BMc3vS2qakQIiAryAyDEbKCqvoX4BcVpP2sKIaxlOpNC4R5lUSjOOCw2B+9+8D5v+f2DkNAw+NH7cO9GdKPn8KjhHSJ3L2R3dkVfT9N3qvJaZWUX1zQSEWDCqNe+3iH+xtbB7OBY7Wd1QW/OUjGAGVRCoVD4wvvf7eexxmeRQXHo7vgcUi6D+DS4fgnWsVfzK+N7rP7sg76epm84HJpFEdJsURRXNxId7Nf0PtTfSEW9pfkcl/VRo4RC4RtKKBRnFFJKjBufJl6UYb5xMQRFNx/U6TBe9SI1frHMz/s/ThRV9d1EfaW2GBy2VhZFURuhiAryo7SmhVAERoPQQbWKUSh8Y1AJhcqjUHhj1549zLN8TtawqxFDz27fwS8IZj3BWF0W+1e/3vsTPF1c+RAt6jyVtBGK6GA/Smoacbj2pNDpNbFwZXQrFF4YVEKhYhQKb9Sv/z+EgPj5f+qwT+jUG8gxDGfMiSVIh6P3JtcZXDd7pztJStnO9RQd5IfVLlvHKYJi1aonhc8MKqFQKDxhravgrPLV7A2diTlyWMcdhSB/3I9JlSc5vn11702wMzQl22mup8p6Kxa7g+igFq4np2iU1DQ2nxccp4LZCp9RQqE4Y8he9yaBNGCbdpfXvikz76BKBmDZ+d9emFkXqMoDnaFpZ7uc8noAEsP9m7q4RKO4uoVQKItCcRoMKqFQMQqFJ4wH3+OwHMakc2Z67RseGsIW8wySi78GS10vzK6TVOVpbied9lV2CcWQsICmLi43VHFbi6K2WNsSVaHwwqASChWjUHRIZQ5Da/ezN2wm/ibf9oouGXEV/rKehgOf9fDkukB1Xqtku5xyTdRaWRROoSiqaiMU0qGJhULhhUElFApFR9Tu1vIiLKOu9PmcYWfNokSGULl7ZU9Nq+tU5bXKocgpryfQpCcswNjUFmI2EGDSk1tR33yeKztbxSkUPqCEQnFGYNn7IQccwxkzfrLP50waFs56xyRCcjf0TxeNlE6hSGxqyimvJzE8ACGat6UXQjAsIqDJ2gA0iwJUnELhEz4JhRDiASFEeE9PRqHoERoqCS3dwwamMDHRd7dksNnIwaDz8LdVQs72HpxgJ2moBGtdqxyKnPK6Vm4nF4nhAWSXtbQoXGU8VC6Fwju+WhRxwHYhxLtCiNmi5eNKDyOEGCuEeEUIsUIIcX9vXVcxiDixER12CqLOxc/gW3zChWX4RdjQITO+7KHJdYE2+1BIKcktr3crFEMj/Mkur0NKZ9Jdk1Aoi0LhHZ+EQkr5GJAK/Ae4HcgQQvxdCDHS03lCiMVCiCIhxP427bOFEEeEEMeEEI94ufYhKeV9wA3ANF/mq1C0xHF8HbXSD8Pwc0/73DHJQ9nnGIHl+IYemFkXaZNDUVprobrRxtCIgHZdh4YHUGexU1brLOVhMIF/hKr3pPAJn2MUUnsUKXC+bEA4sEII8bSH094EZrdsEELogYXAHGAcsEAIMU4IMVEI8WmbV4zznCuBTcBa3z+aQqFhy/iKLY5xjE2MOu1zx8SFsNUxBmNBOljrvZ/Qm7TZAjWzuBaAlJigdl2HOcXjVFnLOEW8CmYrfMLXGMWDQoidwNPAt8BEKeX9wFTg2o7Ok1JuAMraNE8HjkkpM6WUFmAZMF9KuU9KObfNq8g5zsdSyvOBH3qY4z1CiB1CiB3FxWrJn8JJdSGmypNsdoxjfELIaZ+eGhvEVsdYdA4r5OzogQl2gao8QDStYDpeXAPAyOj2QpEaq7VlFFY3N6rsbIWP+LpxURRwjZTyVMtGKaVDCDH3NK85BMhu8T4HOKejzkKIi4FrAD9gVUf9pJSLhBD5wDyTyTT1NOekGKzk7wbgoEjht26etL0RYjaSE5SGwyLQnfoOki/o7hl2nqpcLSPbuZ1pZnENfgYdCWFuYhThAQSY9BwuaCkU8VB0qLdmqxjA+Op6Sm4rEkKIpaDFEE7zmu4C4bKjzlLKb6SUD0op75VSLvQ0sEq4U7QjLx0HgsboCU0b+Zwu8XFxnNAnQ9Z33Ty5LlKV12rF0/HiWpKjAtHr2n/FdDpBamwwRwraWBQ1hf1z6a+iX+HrN2d8yzfOOENnn9pzgJb7LyYCeZ0cqxWqhIeiHXnpnBKJDImJ9t63A0bFBLHNOgKZl67lLvQXqvJb7UORWVzDSA9W0xh3QiHtUFvSk7NUDAI8CoUQ4lEhRDWQJoSocr6qgSKgs+mq24FUIUSyEMIE3AR83MmxFIqOkRKZm84uWxIjogM7PUxSVCDp9mREQyWUZXbjBLuAlFCRBaGaUDTa7GSV1TEyquPPOS4hhNJaC3muDG1X6Q+VS6HwgkehkFI+KaUMBv4ppQxxvoKllJFSyke9DS6EeAfYDIwWQuQIIX4spbQBDwBrgEPAu1LKA93wWZTrSdGa6nxEbSF7HSMY4SbA6yvDIgLY63CuBM/d2U2T6yJ1ZWCphvBkADIKa3BIGB3XccB+yjAtZ3bnqXKtoUkoVEBb4RmPwWwhxBgp5WHgPSHElLbHpZS7PJ0vpVzQQfsqPASmO4sQYh4wLyUlpbuHVgxE8rRA9j5HMtd7eNL2xtCIADLkEGx6fwy5uyDthu6aYecpP6H9jNCE4mCetm3rOA8ru8bEB+Nv1LPzVDnzJiU0l/Go7hbPr2IQ423V00PAPcCzbo5J4NJun1EXkFJ+Anwybdq0u/t6Lop+QF46DnQclMNJ7oJQDAnzxyH0FASOJjHP47NR71F+UvsZngTAgbxKAk16hrtJtnNh1OuYNDS02aIIigGEsigUXvEoFFLKe5w/L+md6XQNZVEoWpGXToFfEqGmEAL9fF0J3h6TQUd8iJljhlQS8z8FuxX0Ru8n9iRlTosibDgAB/OrGBsfgs7NiqeWTBsewcvrj1PbaCPQz6j2zlb4hK8Jd3ucgW2PJTv6GhWjUDQhJeSlc1SXQmJ4x0/ZvjI0IoB02wiw1feP3IOSo9qKJ1MAdofkYF6VR7eTi7OTI7A7ZIs4hUq6U3jH1+WxVwJ24F0hxHYhxMNCCA+bDisUfUxlDtSVkG5PIj7U3OXhhoT5811DkvYmtx9kaBfuh9gJABzKr6LWYmfqcO8FnqcOD0evE2w9Uao1hCQoi0LhFV+LAp6SUj4tpZwK3AykASd6dGadQOVRKJrISwfg27phDHGTqXy6xISY2V0bigyIhJw+Xvlka9QsijhNKLad0KrknJ0U4fXUID8DE4aEsjXTWVlHWRQKH/A5VVUIkSSE+A1abaYxwG96bFadRLmeFE3kpSN1BvbZEt2WtDhdYkP8sNrBGjfFrUVhtTsorGro8nV8Ii8dHDaI1zZh2pxZypAwf58/57nJEezJqaDeYteWyNYWa3EXhaIDfI1RbAU+APTA9VLK6VJKdyuhFIr+Qf5uGsJH0YipW1xPMcHaGJURaVB8RNs0yEl5rYUrnt/IOX9fy+8/3Ne850NPkbkeEJA0g9pGGxuOFnPZ2BifTz9nRARWuyQ9q1ztdKfwCV8tituklFOcCXj9JDW1Pcr1pACaAtklIVrlme6yKADygsYDEnKbl8k+++URjhfX8v3xsby9NYuvDxd1+XodIiUcXAlDpkJABJ/syaPR5uCKtATv5zqZlhSBTsCWE2Uq6U7hE95KePzI+esPhBAPtX31wvxOC+V6UgBQcQrqy8nyGw3QLTGK2BDNosg0jdEanO6nOouND3blcs1ZQ3jx5ikMjfDntY098yxV22jj7XeWQNEB3qg7n99/uI9/rD7MpMRQzk7yfafiELORcQkhbM0sbbYoqlTSnaJjvFkUriylYDevztdEUCh6Emcg+6ghBZNeR1hA13MeooM1iyK3wQSRqZCt7aG97nAxdRY7N48WGI9+xu2TgtmSWUZ2yw2CugGb3cEDSzYx48jfKNAn8Km4mA/Tcwn0M/DsDZM43d2Jz0mOJD27goZAZ1HBiqxuna9icOEt4e5V569fSSm/bXlMCPG9HpuVQtEV8tJBb+KwPZHIoKrTvom6w2zUE2I2UFzdCMkXwp53wFrPlsxSbjBtZvJHt4LDxu2mEFaJX/LNkfHccl5S1z+Lk2Xbszk3axHDDUXwo095P/mCplhIZz7fOckR/GfTCfaWCKb7hTZneisUbvA1RvGCj20KRd+Tuwtix1NUJ4kMMnXbsOGBJsrrrDB2HljrIONLDEc/40ndQsTQc+HWleiColnk9xzbD3Wf+8lqd/DlV2u4y/A5csrtTZsnCSE6LYLTkyMQAraeKIPw4UooFB7xVhTwPOB8ILpNTCIEbQVUv0KV8DizKK5uZPWBAmakRDXXcnLYNYti0gJKT1iICvLrtuuFBZgor7NA0gwIG4b87CEerS2jKHgc8TcvA79gxPVvEP7qRUzJegMpL+nwRl5vsbP42xPodYLbz0/CbOz467TxSAG/tLyMzT8Cv1lPdNtnGR0bzNYTZfwsPKl/ZJsr+i3eLAoTWizCQOv4RBVwXc9O7fRRwewzh+oGK1e/9C2Pf7Sf+S9uIte1x0LxEbDUQOI0SqobiQzsPqEIDzBSUees83Tli1gx8q1jAnsvXgx+wVqn+EmcSriC6+UacvI7XnL64LJ0/rnmCE99fphfr9jr8bo5699ksi4T/Zy/g39Yt32ec0dEsvNUOfaw4doCAIej28ZWDC687UexXkr5BHCulPKJFq9/SSkzemmOCkU7Xv7mOLkV9fzj2ok02hy8+PUx7UCOFmSWQ6ZSUmshqjtdTy6LAmDERXw+6yvusP6WpMTWS1Md59xLoGikYstbbsf57ngJXx4s5Lezx/CLy1L5ZE8eO0+Vue1rtVqZUbCUPHMKhkndW978nOQI6q12cogFuwVq1BJZhXt8jVG8LoRoepQRQoQLIdb00JwUCo9YbA6Wb8/m8nGx3Hj2MK5Ii+fTvXk0WO1w/GsIjqcmcDgWm3T8AiAAACAASURBVKNbYxRhLovCybGiGvQ6QVJU66KDwybMYK9jJDHH3nU7zrvbswn1N3LnOLgvpYIIfz2LN5102zfr2+WMEHkUTPopdENQviXTk7WSH3trnV/tsn5XlUfRT/BVKKKklBWuN1LKcsD3VNAuIoQIFELsFELM7a1rKvovm44VU1pr4b4hJ2HN77k9dDfVDVZ2nyiE4+sgZSaltdoNvTtjFOEBJmoabVhsmovmZGkdQ8L88TO0ji8Y9To2BVxKbF2G5gprQYPVzhcHC3gxcgV+L03B/OYsPjH/gb2HDlHTaGt9QSkJ2v48JxxxjLjA7R5gXSIyyI/UmCC+LnHmYBQf7vZrKAYHvgqFo2W1WCHEcLSNizwihFgshCgSQuxv0z5bCHFECHFMCPGID9f/LeD+8UxxxrExo4R7jKs5a8OPYctLpG3+Of8z/Q3jN3+BxkqYeAOltY0ARAR2p+tJy8eorNdEqKCyvsPyIKfivo8dHexb0ap9d3YFP7R/zAUly2HqHTDveeKsOSzSPcmmg21yGY6tJbb2CB8H30BYUNeTBt1xzogIvsw1IP1CoOhgj1xDMfDxVSh+D2wSQiwVQiwFNgBe98wG3gRmt2wQQuiBhcAcYBywQAgxTggxUQjxaZtXjBDiMuAgoIrRKADIPbKT3+jfhjFz4Xf5MO850nSnmJr3PxhxCSRf2OQiCg/oTteTNlaFM05RUNXQoVBExw9js2Mcct97WtkNJwcPH+YhwwqsKXNg7v/B1NuQ17/JaJFD9MbHWo0hNz5DvoykdMTV3fYZ2pI2JIyaRjuN4aOgUAmFwj2+lhlfDUwBlqM92U+VUnqNUUgpNwBto3TTgWNSykwppQWtGu18KeU+KeXcNq8i4BLgXLTy5ncLIXyueKsYfJTVWriu8k1shiCY9zwYzTD1dp5KWcqvjI/BzctBCKoaNKEI8e++nehcY1U12HA4JIWVjcSFun/ST4kJYqX9fET5iaYAO0Dqgf9DLxwYr3iqKeZgGH05q8IWMLXss2YL5OQmRNZmXrHNZdzQqG77DG1xbXZU5D8Sig60EjWFwoWv1WMFmmUwxbkvdYAQYnonrzkEyG7xPsfZ5hYp5e+llL8A/ge8JqV0u4ZPCHGPEGKHEGJHcXFxJ6em6O8cP7KXy3S7KB7zIwiMbGqPHzKc96vHUW3T/qSrGzR/f7C581ugtiXIT4tF1DTaKKuzYLE7OrQohkYEsMp+DjZDAOxcojXmpXNB7Zd8G3l9017XLvLP+gU7HKNwfPJzyNkBnz1MvX8cy+0XM2FIzy33TokJQq8TZMihWkVcVfNJ4QZfn85fAs4DXBG1ajT3UWdwt3TD62OMlPJNKeWnHo4vAp4AdplM3eduUPQvdLvfxoEg5IL7WrWnxmilx44V1QBQ5YwjdKdQuPbdrm20UVCp7T3hKhbYliFh/tTiz4m4ObD/fagtxbrqUUpkCKfG39+u/6Th0TxoeQA7Bnh9JpQc5eNhv8WuNzMqNrjbPkNbzEY9KdFBbG0YqjXk7fJ8guKMxFehOEdK+VOgAZpWPXX2bpwDDG3xPhFQjzEKn4gvWMce/ThCY1vvxDs0Qlui6kq8q2qwYTbq2q1I6gpBTqGoabBRWqvFKaKD3X8NYoL9MOoF68OvA4cVXjoXY85mnrHdQNKQ+Hb9JwwJoUBEsWTiErjsT3Dnaj6uHcfouGBMhp71to5LCGF1WRzoTZC1pUevpRiY+PoXaHUGoSWAECIa6Gwa53YgVQiRLIQwATcBH3dyrFaozOxBTvkpEiwnOBZ2QbtDQ8K1WEGeSyjqrYSYuy8+AS2EotHWFNAO6yBYrtMJ4kP92WuJhx/8E3QGDibdyjL7JW4thACTgdSYYDaVBMCMXyITz2Z/bhUTe9Dt5GJsfDBZVXZssZMge2uPX08x8PBVKJ4HPgRihBB/AzYBf/d2khDiHWAzMFoIkSOE+LGU0gY8AKwBDgHvSikPdGr27a+nNi4axDiOfA5A+dCZ7Y6FmI0E+xnILdeEorrB1q2BbGh2PWlCobm2wjxcIyHMrFk40+6EXx3ivcj7CDAZOoxrpCWGsjenEiklOeX1VNZbGZ/Q80IxLl67RmHYZMjbDdb6Hr+mYmDh66qnt9H2yH4SyAeuklK+58N5C6SU8VJKo5QyUUr5H2f7KinlKCnlSCnl37ryAdpcT1kUA5jqBqtWxrsDLAc+47gjnrAho90eHxLu38L1ZCWkG+MToCXS+Rl01LYQilAPQjEkLKBJuAByy+sZEubfYaHASUPDKKu1kF1Wz75c7WGnNywK18qnPcY0zU12YmOPX1MxsPC2w12E6wUUAe+grT4qdLb1K5RFMXDZnV3B+U99zTl//4p3d2S379BQhSl3M185pjA8MrD9cbTAcpFTaKrqrQR3s+sJtOB4daON8joLwWYDBn3HX6G4UD+KaxpxOLS1GnmV9U0uMnecNUwrpZGeXc6+3EoMOsHouJ4LZLuICNT2Ff+qfjSYguDIqh6/pmJg4c2i2AnscP50/b6jxe/9CmVRDEzsDslD7+4mxGxk8tAw/vTxAUpr2lgWx79G57Cy1j6lXW0lF5GBJkprtNhBVQ+4nkBzP9U22qist3rdOS8qyA+7Q1LhXIHlsig6YnRsMAEmPelZFezPrWRUbLDH8uPdyfiEUPYWNMDISzWhsNu8n6Q4Y/AmFLdIKUcAY6WUyVLKEc5XsrO9X6EsioHJusNFZBbX8sicMTx1bRp1Fjsf7Mpt3enoGur1IezXjyE22L2PPyLQRJlzNVJ1g60p+NydBJoM1DRowewwf88L/1zbpxZXN1JnsVFeZ/VoURj0OtISQ9l5SrMoesPt5GJ8QgiZxTU0jr8eagrhyGe9dm1F/8ebUDzn/PldT0+kO1AWxcDko925RAUamROSyaiaHaQlBPLZvvzmDg47ZKxhX8B04sOD0Onc+/gjgkzUW+3UW+zUW2wEmrr/aTzIz6AFs320KABKahqbYhWeLAqAs4aFsy+3koo6K2cn9553d3xCCA4J+wPPh7DhsP6fWC2N/OnjA8z613pe39h9O/YpBh7ehMIqhHgDSBRCPN/21RsTPB2URTHwsNkdbDpayOuBL2FYcgUsvYqXbH8kMyevuZpq9laoK2WjmEpcByuGACKcS1VLaxups9rx7wGh8DfpabDaqfHBYmlpUbiC7IkeLAqAORPimn6/eHR0F2frO67s74MFNfD9v0HhPg6/dDMffrcfvU7w188O8WF6Tq/NR9G/8CYUc9GWsdbTHKdo+epXKIti4LEnp4KbrR8yuWodXPwozHuOhOr9PG14lV0nnWXCDn0KehOrG9M6dDtBc6XYgsoGpKRHhMJs1NFgdVBnsRNg8iwULS2KwirPmdwu0hLDePKaibx6y9RuLZHujfhQM+EBRvbnVsHYeZSe81vGl69la8Av+Xzier43RM8/Pj+C1a52wTsT8fiXLqUsAZYJIQ5JKff00pwUZxAHMk7wU8NHNKb+AL+LfgtCYK2tZPbXf2Ddttch5ddw4APkiEs4eVDHTA83WpdQuJ7e/XsgEGw26mmw2amz2AjwIkQhZgMmvY7imkbqLXag2crwxILpw7z26W6EEEwYEkp6djkAvy/5PgVEszxlA2Ljs7wWNIxLqx5m7aFCZk9on1muGNz4mnBXL4RY69pXQgiRJoR4zNtJvY1yPQ08og+9ib+w4Hf5n5qqqfrN+BmbdVOZkfkv+PSXUJ1PzYRbsNolsSEd32hdy2GLqrQVU95u5J3BbNBcT3UWOwF+nscXQhAd7EdxdSPFNY2E+hu7taRId3NhajRHC2v4dG8eqw8UcPEFF+F381K443P8LaW8an6RVXuU++lMxFeheA1t/wkrgJRyL1rpjX6Fcj31H2x2Byt357I1s7TjTlIyuWw1hwKmQXSLJDqdjmWJv6NYREL6UhhxCdlRWtkOT66bIGeCXbFzaW1PLC01G3XUNdpptDkIMHpfVRUVZKK4upGiqkZifLAm+pJZ42IBeOB/6UQF+XHXBc6FjcPPQ1zxLyZxhIiMd5X76QzEV6EIkFJua9OmFlor3CKl5Jfv7uHny3Zz46ItrNyd67ZfbeZm4mUR+UPb73CbkJDInIa/Y/vRSrh5OYXO/AhPFoUruFzkjAd4iyF0BrNRT7UzyB7oxaIAiA42a0JR3UCMh7n3B5KiArn3ohFEBpr4x7UTWwfr026gPPIs7pPvsfdkUd9NUtEn+CoUJUKIkTQXBbwOrZSHQtGOzZmlfLInj3svGsHkoWH87bNDNNrs7frV7VxGgzQixrYXiqTIACodZvIjpoPBj2KnOynGQzDbdWNzWRQ9FaNw4UuwPCbEzykUjUT3YnC6szw6Zyw7H5/FzLGxrQ8Ige6i3xAnyqnY9UHfTE7RZ/gqFD8FXgXGCCFygV8A93k+RXGmsuS7k0QEmvjlZaP4+WWpFFU38s2RNptJ2a2EHPuErxxTGZ4Q226MIWFa9nWOM//AtU91qIfcBb1OEGDSN8UoembVU/OYvsRAYoL9KK21kFdRT4yXFU/9ndAJs8kVsQw7/r++noqil/G1KGCmlPIyIBoYA1wMzOjBeXUKFczue+osNtYdLuYXIwswf3gHFx17mtSAOlbta2OAZq7Hz1LGx47zm/aSaIkrg9m1gqmy3opOQJAXd1KQn6HJouiRYLax+Svji2vLZQE5JP0+RuEVnY70yHmkNuyDCjf1uBSDFm9FAUOEEI8KIV4UQswC6oDbgGPADb0xwdNBBbP7nu+OlfI9uZNbMh6EU9+h27WEd/R/4PCxTGTL/Zj3vUedLojM0PPcrgRyleLObWFRhPgbO8zKdhFkNjRVdu1p15OvFoULX5bG9neqU+YBUL/7/T6eiaI38WZRLAVGA/uAu4EvgOvRyozP7+G5KQYg24+c5GnjImTMeHgwHW5fRZi9lF81LuREsbZNKZZaOPQJG4znMyQqzO04ZqOe6GA/civqAE0oPJX0dhHcIgDbLyyKFgFsT/GVgUJc8jj2OpKx71NCcSbhTShGSClvl1K+irZf9jRgrpRyd89PTdGfeH9nDhf/cx2PvL/X4/LIERlvECmq0F35PPgFw9CzKT37YS7X76Rs+zKt0+HPwFrLe9YZHovkxToDweC7UAS2EApzT5TwOE2LouVy3mGR7qveDiRGxwbzmf1cgkr3QvnJdserG6z8dsVe7n5rB1mldb0/QUWP4LXWk+sXKaUdOCGlrO7ZKSn6GwfyKnl4xR4ksGx7Nq+uP+62n6WxkUtqP+d46PkwZEpTe/jMX7LbMZLx6X+G6kLY+ioyPIl19SM8lqmIDPRr2pu6M0LRE64nv9MUisjA5gqzcQM8mA2aS3C94Xvam4Mr2x3/08cHeXdnNhszirnrre3YVM7FoMCbUEwSQlQ5X9VAmut3IURVb0xQCHGxEGKjEOIVIcTFvXFNRWueX5tBmL+Rj386g8vGxvL6phM0WNsvd83fsZIYUUH5mAWt2k0mIwtDf4XBVg8vnw+5O6ie+gAOqfPot48K8mveX8IZo/CGq2KsUS8wethUqLOYW8RTfBEig17Hr2aN4peXjULvJb4yEBBC4BczgkzjKDjwUatjOeV1fJCew10zkvn3jZM5WljTugqwYsDi8ZskpdRLKUOcr2AppaHF7yHeBhdCLBZCFLlKf7Rony2EOCKEOCaEeMTLMBKoAcyAqh/Qy5TVWvj6cBE3Tw4nNG8D9042UVFnZd3h9klXxj1LKZRhRE+9st0x/4Rx/MH4EAREwtl3k5V0HYDH3IKoIBPFNY1IKX22KAKcFkVPbfjTcsmtn4/X+NnMVH5+WWqPzKcvGBruzxecC3m7WrmfXHuI3HbeMC4fE01iuD8rdqqv7GCg+x+5WvMmMLtlgxBCDywE5gDjgAVCiHFCiIlCiE/bvGKAjVLKOcBvgSd6eL6KNnx1sJCRjlP84tAC+O81TFt5CXeYv+HrtkJRmUtc0Sbed1zMsKj2zxDDIwNYXjMJ6/1b4IpnKK7VvJrRwR1v/hMZZMJic1Dt3FHOF6EI6mGhaOlu6gnX1kBgWEQAy2qnam9auJ/WHy3mkciNJL46Dt0/hvHn6HV8d7yU6gZrByMpBgo9KhRSyg1AWZvm6cAxZ26GBVgGzJdS7pNSzm3zKpJSupyc5UCHj59CiHuEEDuEEDuKi4s76qZw8uXBQh743y6+Oljosd+OjCwW+z2LwWCEm95BJF/E47xG49G1rTum/xcdDjaH/sCti2VYRAAO2bzctcQZpI4O6thvHxmo/Xdnl9Vhc0jfLArnjdzUA24naC0ORv3AdyV1hqERAZx0RGOJSWtyP1U3WJmUu4x7a17W4lNJ3+PSrOe5ivVsO9H2FqAYaPS0ReGOIUDLbJ0cZ5tbhBDXCCFeRVuq+2JH/aSUi9Asjl0mk+ctKs90tp8s496lO1i9v4B7lu5g56lyt/2klIw/9hoJFCOuWwxjfgA3LqUqYDi/bnyJwlJnwT+HHXa9xU79JPxjRroda5gzqS6rTFsJ40qKi/JgUUQ54xeZxbUAvgWznUtWHS1zNrqRlhaFEGeoUIRr/5f5iXM091P+XrI3f8Bj+rcoSZwFP3ofFizDMfQ8HjO+zc4jJ/t2woou0xdC4e7b1eG3Wkr5gZTyXinljVLKbzwNrBLufOPJVYeIDTHz3aOXEhXkx7NfHHHbL7ewhKvtazgZ930Yfp7WaAqk8KKnGaorpn610xN4dA1U5fBG46UkRwe6HWt4pNZ+yikUJdUWAk16j7kIrh3rTpSchlA4XU82R08JRfcXGhxouER/V9SVYA6D5T8kdeOD7JdJ6K57HXR60OnRzXmKcFFNwvHlXseUPSTsiu6hL4QiBxja4n0ikNcdA6sSHt45VlTNrqwK7j0/gZjaDO48N57vjpeSXdZ+zXvl1qWEiDos0+5p1T58ymUstc9ieMZbcOo72PgstsB4VtvOIjnSvVDEBPth0AnynSU5imsavWYqRwR1Rii0J/6euvG0TLg7U4kP09yFp+pMcO1/QEKmeTyPmh8jIqxFAmXCZI4HTWVm1Uc47O1XyQFY7Q7u/+9ORj++mhe/zuiN6Ss6QV/81W8HUoUQyUIIE9q+Fh/3wTwGFdllWj2l2kbP1d9X7s5jmu4ot26dC6/M4O6dVzFVHGHNgYLWHaUk7vAS9jmSGTrx4laHzEY974TcSZkhBt6YA7k7ODHpV9gwuK3bBKDTCWKC/Sh0Fuwrrm7wutWnKwch8zSEwvXEb+8hi+JMdTe1xKjXERVk0v4vUy+DX+7jQeOfiEsY3q5vQcqNxItSig6sczvWku9O8vn+AlKig3jmi6NsP6niGf2RHhUKIcQ7wGZgtBAiRwjxYymlDXgAbS/uQ8C7UsoD3XG9M9X1tD+3ku//ewM/eXsX17+y2W2OQ1Pfw4d50+8ZdOZQuPJF9OZg3vR7hsMH97bumLmOyPqTfBowH3+/9u6WhJgYfuH/V5h6B8z9N/uj5wAQF9pxcDomxExRtbZXREmNxatFYTbqCTDpm0p/nI5F0VOuJ4VGTLC5ad8Pu0NyvLiGUXHB7foFTpxLrfTDtvvddsccDskb357kvBGRrLj/PKKCTLy+MbPH5644fXp61dMCKWW8lNIopUyUUv7H2b5KSjlKSjlSSvm37rremeh6klLyh5X7CfQz8Of54zmYX8Ub355027em0cYNJS/iJ6zww/dgyi1wywcYdXB93tPYW2bRbnmFMkIpSJzjdqyRMYFsLQvG9oN/wbQ7KKjULAVP2ccxwX5NJcCLqxu9WhSg7YNd1aBZSb4l3DmD2UooepS4UDMFTqHIr6zH5pAMd2NNDo+L5gvHNKKyPgd762Wyu7LKya2o54azEwkw6rn6rCGsPVREZZ1aTtvfGFQO1zPRokjPrmBXVgUPzkzl1vOSuCA1iiXfnXR7ozy4ZytzdNvIH38PRDpXJ4UncXDCw5wjDlC0fpHWVpIBGWtYapvJ8NgIt9dNiQ7CYnc07RdRUFlPsNnQqoRGW2JDzBRWN9Bos1NZb/WpmqrL/SRE64J/HeGyKOw9GBx9YcFZLL/n3B4bfyAQG9LsRnStZHPndgwLMPK1/nuYbVWQ+U2rY98dLyVOlDEv/T74SzT3F/0ZP0cdmzNLenz+itNjUAnFYLEobHYHC9cd41fv7uFYUY3Hvh/vziPNkM3Nu2+Fv8bypOPf1FWVsDOr/ZLX4F2vUC9NRFz6s1btoTPu4jv7OKK++7O2z8CGZ5B6P5baZpHYQdE+102hSSiqGrzWMooN8aOizkp+hfYk6otQRDiFIsTsvcQ4NK96Mup67k973qQEzhkR2WPjDwRigs2U1jZitTvIKdP+Boa5EQohBLmR51MrAuHAh62O7cos4L8B/8KQvwsm3Uh41hf82+9VNmZ4Fgq7Q7I/t9Kji1XRvQwqoRgsFsWzXx7ln2uO8PGeXG5+bQtVHWS2SinZs38v75j+gr62ENJuYEj+lyw2Pcu6/W02lqnKI7VgFZ/qZxIU3npHuaSoYB6T9yEdDnjtEti7jNwxd1BCaNOa+bYMCXNtLKQ9TRZUNniMT0Bzme2D+VqZMN9cT1ofX+IToAkKwJyJcT71V3SOuFAzUmouxKyyOvQ60bSHSFuGRIWxQTcdDn0KNq12l5SSCdnvkGLPhGtfg/kLETMfZ5bYhu74WrfjgCYSt7+xjbkvbGLuC5s6/G4oupdBJRSDgcKqBl7bkMl1UxP54P7vUVzTyOsb3Af4skprebj+BUzCAbd/Ble+gLj2NabpjpB8cGHrzlteQuBgU/RN7cbR6wT+MSN4NuoJCBsOU29n89C7ATq0KOJCzehEc6a1LxaFa2+GfbmaxeeT68m5RNZXoQj0M7DxN5fw5DVpPvVXdI5Y5/9lYVUDWWV1JISZMXSQDZ8QZub9xrOhsRKOfw1Afl4294gPyIm+EMZcoXU896dU+MUzr+odt3usA3yYnsvGjBJuOnsomcU1vLBWLantDQaVUPRX15OUklX78nlnW1aHXwAXb285hV06+HVqARNLVjF3pIl3tme7Ldd8cttnfE9/gPLzHmmOOYy/mn1RV3BV7Qrqs9K1tvpy5I43+IJzCY53nzk9OjaYjypGwt1rYd5znKq0e3xKNOp1xIaYyamox2Z3UFzd2GFfF669GQ7kuSwK7xn04c6ku9PJXxgaETAoKrX2Z1zWYWFVA9nldW7dTi7iQsyst03AYQ5rcj/ZN/yLQBoo+94fmjsaTOSn/ojpusOcOrjD7Vj/3XKKMXHBPHnNROamJbBsWzZ1Fs9LwhVdZ1AJRX91PT37xVF+8vYuHv1gHz99e5fHZLA1+3L5X9irxH50A3x0H88W/ZjEmv2kZ1e07iglw/c9RwFRRF90b6tD5Rf8kXKCkR/eC7ZG2PwSwlLDc41XMiIqyO11U2KDKKxqbCrgll1eR3xox0+JoLmfcsvrKa5pxCEh1lehcFoUvrieXMFstYipf+FyM+ZXNpBdVtehixK0/3crBiqHf1/btKr4KPEZb/OB/QKGpk5q1Tfg3NuxSD0y/e124+RW1LM7u4JrJoYjTqznlvFGqhttbPIS01B0nUElFP2RzOIaXl5/nGumDOGROWP46lARaw+1L9ENkFVaxw/K3+K8+g1wyWNw11r0gRH8x/RPtu3d32bgdSTVH2BNxM0IY+sbdGrSMH5rvZuA8iOw9Gr49t+UJs/jsBzWcYmNCK3dtYIlp7ze45cfYEi4P7kV9RRUasFpb66n8AAjJr2O0loLIWaDTxVeI5qEQilFfyIy0ITJoCOzuJaSGkuHiZbQ/IBwIvEqsFTDS+diR8+bpgWEB7a2KofEJ7BJTiI+dzU4WlvR3x4rIVEUc8fum+Gt+UxbeSlX++3o8PvkIqe8jr98epAPduWoUiGdZFAJRW+5nirrrPzts4P8Y/VharxkQr+1+RR6HTw21cZdwwoYFmbije9OuO27Y/9+7tF/Rk3qfLjo15A4Df0P3yNAZ+OCfb9v9cVxbHiWAhlOccr17caJCzGTbp7OqvifQM4OiJ/MhpTfADCyA4tiuHObTlcpj+yyug7jEy4Sw/0pqGwg11mWw1swWwjRFKeI8iE+Ac25E0E+LI1V9B5CCBJCzU2Z1J7+VlzxjKN+E2DWnyFuIi9E/B5DxLB2fQ16HZv9LyLEUgg521sd232qhNf8/o3BWgnXLUYkTOYfuhfJOb6/3Tgu6i12bvnPNv6z6QQPvbtH7Y/RSQaVUPSG68nhkNy5ZDuvbzrBy98c9+hKstodrN59infCXiFi6UwMS37ACv3vyDx+lEJnslJLEvc8j0HYCZzTYtuNqFTWJj1EmnUv1m9f0NqytqA7tYnXbFeQmtB+maYQgrFxIbxqvQJ+XwB3fcnhSiMmg67DPapdT4SnSutosNopqm70+JQIMCQsAJtDsjdHE2Zftvp0PV3G+CgUE4eEcuWkBP4yf4JP/RW9R3yoP4cLtJ2REz1Yn654RkFVA3zv53DvelZb0ogPdf+3mBNzERaMsP/9Vu0hxz9hLCcQV/wLJlwLN7wFOgO31Cym3LllbltW7MzmREktS+6cztTh4fxzzRGvcUJFewaVUPQGK/fksvNUOf+8bhJ/mDuO9UeLWX/U/f4XO0+V86BlEVNr1sMlv4erXibSksdi4z/ZdOBU687FR5la9hlfBsxFRCS3OqSfciur7WejX/dXOLUZVv2aenMM79gvZVy8+40Gx8QHc6SwGoezWO/x4lqSIjsO8ob6Gwn1N5JVVtdkIfhiUYBWttyk1zW5iTzherr0df9of5Oe5xecRVKUe5eZou9wFQcEGBrR8d+KyaAjLMDYtK2tlJL8ivpW57ckLiaGdXIK8sCHYNcsdovFwo21b1MckALjr9E6BsdROO5OLtft4Mih3W7HWrY9m7TEUC5MjeKBS1Moqm7kmyNqv5rTxHZ+WwAAIABJREFURQlFCxptdo4WVnvss3TzKaZHNnBt7XJudXzIuOB63vzupNu+J9PXcrNhHY3n/Awu+g1MvhndDW8yWpdN4ubHW/WVa5+gXvqxf+Q97cY5a3g4j1p/TIMhFN6YDQX7+Gzow9gMASR3cAMdExdMg9XRFHPILKnpMJDtYnhkAFlldU1JdN4sCpdQpGdVEBdq9qlgnuvp0lvgW9H/SXBaBEa98LilLWir18rrnPufN9iotdibzm9LYngAH1jPQ9QWwckNAJRv+S/JooDj438GLZIpwy+6Hyt6AtJfbzdOQWUDB/KqeChiC+Ll87lo6z1MDSjk072e9/E+VVrLfUt38rsP93l1LZ8pDCqh6GqM4hfLdnPb4m0dZnxmFtfQkL2bJZaHEF//GcPXT/CefJjSYzvam74OB1MPP0OJLhK/mb9rnmPqLNZE3cY5VWuQu5Zqjac2Iw5/yqu2Kxg+rL3fNjbEjC4wiueSX4ZLH4NbV/K5dQojogI7XJU0KlYr0HaksBqb3UFWaV2HgWwXQyMCOFVa1xSn8GZRJIQ1H/fVQnDlTnhyVSgGBq4lsUa9zutDQqi/kcp6bUVdfqXnmFZciJlvHJOxm0Jg73tgsxC89V/sdyThP3F+q75BUYms15/LyILPm5L5XKw/WsTN+rVcfPQvYPBDV7CPN8UTHMs40qG72GJzcMeb2/nmaBHLtmXxyPt73fY70xhUQtHVGMWPzh1OfmUD7+9yH/D6dv9xFpn+hdEvAH66DX6yBaOfmdcMT7N5b+sCuJa9K0i1HmFL0k/A1PqmWDLlQb61j0eu+jVkbYXPfkW9fxyv2a9gbAeupFGxwWwrD4ALfw0jLuJESS0jPNz4U51CcbSgmuxyrWjbCC/um6TIAHIr6jlRUotRL4gN9nzzNxv1TbEGb4FsF7edn8Tjc8dxzVkdbmqoGCDMSI3CqBfccm778uJtCQ8wNlkUrsKQsR08XMSG+NGIicJhP9DiFJ//hoDabJ6x3cCImPZW8e7w2QTaqyDji1btJ44f5Y/Gt5AjZ8Jda+GOz/GXDTxkXfT/7Z13eFzVlcB/Z6p6t2wVd9my3DDEGGJagoMpoRhIMZANWUjCbiAJ6bBsCkkgISGbkCwlmGIgBBYSEmpCT3AoBtu49waWLUuW1btmdPePNyOPpJk3I2tGEsP5fZ8+zdx55ejN1TvvnHtKxNI4T6ypZPehVu647Di+evo0nllfxZZAJYEPM0mlKIbKwqn5zBiXGTEyonDNbyiWw7iWPgRjyqGwAufnHidb2pi54pojTzTdHfDSj9ncMxHHvIGZ0LNL87i2+2q6nelw32I4tIW/TbqOLvH2WgL9KR+XyfaDzRhj6PZbLqVIbiewooTG56WyrbqZ3YEy3VPG2LuephRk4O8xvL6zlvG5aTHVVgpaCHYJV/3luvLkybbFA5UPBsU5qbx1/SKuO3tG1G1z0zzUt1oWRVBhRFrTCiqQ1ROuBKcbVt/P5syT2Ji6gMyUgRn67eNPodZkY9Y90mf8uD134QDkvN9YXffGTKd5wbWc4VzNrrX/DHvuP6+ppGxMOh/PPMAXp7eT6nby8Mr3wm4bpKfH8Oz6Kp5cuz9sYmwyoIoiBBFhybElvPt+w4COb13V2zm96UnezT8XSuf3jjuL5vBg4XeZ1LYRnr/eGnzrDjwt+/ip7zJmFucOOE9FURZ1jlweqrjLWuT+wnM81zGHKWMyIuYWTBubQWuXn/0N7bxf1xawEOxv/OVjM9l2sLm35/TUKK6noIWy9WBz1PWJIMFci/IwvQiU5Cc/wxvT2lROmoeGgIIIumlz08KXZQmGUO/tzoUvvQpL7uRX2ddTHMEVOqkwh7/6F1oteduscN2ug1tY1PESa8ddDDlH3Lk5H7uaBjKYuOmOAcepae5gw96D3Ou6BVn2MTLvP5Xl2ct4eeMB27L1Nz+3hav/uIavP7qW65/YEPVafBBRRdGPRTMKAfjXzr7Znu1/+z6duDm84DsD9nHOuYi7fOfCO/fAk1fDqzezOftU1rvnhX3STnE7mT42k9fqsq1F7okfZUtVU0S3E1g3faDPjd/O9QTWzXtPbStbDzaTl+4hJ80+KilU8QTzKqLxnbPK+fxHJ/KJirHRN1Y+tOSmuWnt8tPl66G+rRuRyPW7vC4nuWluK5x2zHSYdymVzSaiq6o0N5XH/achPd2w5kEAOl68iXa81B57TZ9tJSWLFzOWUNH0OtRs7fPZyt11/Mj1ABMa3rLyPU75Fie0vMTnOx5i44Hw6547qpu59/U9LD1+PFedOoXHV1cmZZe+Ua8oRMQhIjeJyO9E5PJEn6+sMINxWSms2BESQrfvbbL3/p3f+86lvKxswD7HjM/hl77PUjvuVHj3DzB2Frd4rqaiKDOi+2ZOSRab9jdijKGxvZv9De1UFEV+Kg92D9tW3cye2oArKYpFMX1sJr4ew4ubD9q6qYJkhzzhlYXxBYdj6pgMfnzBbFI90bOslQ8vOQE3U0N7F/VtXWSluG3Lw4zJ9PaG04J90cninFS2mQnUjjkR3r4b9qwga9fT3Oc/i5KS8QO23zPlUtqNh543ftdnfP/G11jq+gfmxK9Y+R6LfkD77Ev5kvNZdmxYGfbcy9/Yi9fl4LoTU/nGMT3kp7mjdunr6TH83zvv8+sXt1Pb0mm77Wgh0a1Q7xORGhHZ2G/8LBHZJiI7ReS6KIe5ACgBuoGEp1WKCCeVFbByd50VGWEMvPhDml15POY+P6yFMLMoCyNOHppyK3xjEz1ffIV3qomY4wAwuySbw61dVDV2sDWwWGZnUWSluCnJSWVLlWVR5Kd7+tzYwxF0BzV1+Jg+NrYb/+KZlmVw4oe834ISX7JSrDWp5g4f9W3dUXNuclKPhNN2dFuNroI5OP0JRt+tHH8lNO2HB86lxTuOZb5ze0vThDKhdDyP+U9D1v8fNAVCZXv8nL77l9Q583F87MgtKfWcm2iTNKZuvG3AcXz+Hl7csJ97cx8iZ9l8UpYt5LGMX/L21r29brZw/OL5bXzvzxu47eUdLL37rQ9EUcNEWxTLgbNCB0TECdwOnA3MBC4RkZkiMkdEnun3UwiUA28aY74J/GeC5QXg2Ak5HG7tsvIJVt0L77/Bcu/nKCsdG9Yfm+51UVaYwYYDTZBdyt66dtq6/Mwqjhx9NbvE+mzj/sbeqAo7xQKWItla1cTuQ60xWQihFse0wtjWEH5+8VyevPqkiIvqinI0BFvUtnb6qG/tIifKQ05OmpuGQEvUYBWDSK6nrBQXGV4Xq2QWXHQPzLuMZZNuxZWWHfZhalJBOvf4zwHjh5V3AuBftZzp/p2smPR18IbM/bQ83ij4FPNaX4fqvpGNa95v4Ctd93JS07Pw0WvgjJ8wpXkNv3HcxmsRknB3H2ph2YrdfGZ+KQ9esYCdNS3csyJ8SZ/RRKJ7Zr8G9HfYLQB2GmN2G2O6gEeBC4wxG4wx5/b7qcGyIoLt2iLm3ovIl0VklYisOnRoaJmX88bnIPRQ/8874W/fo2fK6fy24UTmlORE3Gd2STbrKy1X0uYYLISKcVk4JKgorDWEaGUtKooy2XWohbWVDb3hr3Z4XA68Lusr/sjEgYvq4chL93DM+Mh/p6IcDcEot5ZOH/VtXeRFWS/LTfPQ0G49lVdHCacVEYpzUqzeKHM/DUvuYFXrmIjZ/JPy09lnxvLe2DNg1f1waDu8dCNv+mfin3nRgO0Pzfp3WkwKHa/8ss/4/jV/5wuuF+j8yJfhzJvgpK9hzr6F05zr6Vx5X9hzP/jme+Q42vhB/iucuve3XDG5ngfe2EuXL3K0VG1LJ5/9/ZvM/uHz3PbSjhEpbDgSaxQlQGj7tcrAWCSeAM4Ukd8Br0XayBhztzFmvjFm/pgxY4Yk4AxXFX/x3sjcdT+GSaew+eTf0e2HuaWRLYRjSnOobemkqrGDLVVNuBzCNBt3T6rHSVlhBhsPNLG5qomKosyo0SMVRVn0GCspaE5JbLkiv73kWK46bYqt7IqSaIK9zFs7/bR0+shIsQ+Pzkl3U9/WjTEmajgtWEqkpvmIv/9AQ0dvF8b+FGZ6SXE7eDH3EuhsgtuPB38nN/iuoDzMw92U8aU84F+Md9tfoWaLNdjVykmbb2S/owjvmUdqszmOv5IdqXNZVHU3dPat8uDz97Bq3TqeS/0hGf/8Ebx1B98/+FU+0fE8r2wNXwHXGMO1j65lXWUDx07I4dcvbefJtQciXodEMRKKItzdMKKKNMa0GWOuNMZ81Rhze6TtIE7VYxvex/XAOUxxVHNb5rfg3/7C2hrLkLG7OQefwtfta2DzgSam2oS6Bpldks2a9+vZerCp1xVlx3ETjlgF8yfFZiGcOWsc159dEVMIo6IkiqBF0dblo73LT1qU4IfcNA9dvh7au/00BlxQdu6qggxvn4Xh2pbOiP1OHA5hYl46KztK4eJ7YdaFPF5xG+9JCVPD5BqVj8tkme+TdDvT4B8/A6Dn5R9T6D/Is5P/u29CrQhb53yXPJpoefU3fY6zdk81P+u+hTwa4d//Bt/dg5nycW5238OuVX2TBYOs2FHLv3bW8qOPF/DAYifHl6Zyy9+30j3M+RojoSgqgdBQhFJg+FVkJJ6+FnydPDL7Hm6vO54OXw8b9zeSm+a2LWlRUZSJx+lg7b4GtlQ1M7PYfr0BYHZxNg1t3XT7DXNt3FpBxmWn8LVF07j0hAlMizEqSVFGAxkhrqf2bn/Uh6icQOhsfVt3rwvKLrw7P93TGyXV5euhucPX2/QqHBPzrXI1zPkUfHo5b/rKKc5JCStXQYYXV0YBr+Z9BjY/CY99HsfKu3jAdwbZM04dsH3J7JN5xn8CKe/cDo37e8dTXv0+cxx7af/k7TBxIaRk4fjMg9S7i7hg70/o6RhYZ+6Rle/xg9TH+eyKxTjuXcQfWr7EpObVvLCpOuLflghGQlG8A0wTkcki4gGWAk/F48BDLjO+fw3sehlO+y6TZhxDl7+HTQcaWV/ZyJzSHNuncq/LSUVxFi9tqeZgU4dtqGuQ0HWDE6bkxSTiN8+Yzs0XzlELQflAEbQoWjt9dHT7SY2mKAJKob61i4a2bpwOId3GCinI9NLe7aety0ddIKEvz6bVbnFOam/DLbAadZXmRM4dmjEukzv9S6DiPNj8JNXFi7jZd1nYoI+ZRVnc6r8U09MDL/y3NbjlGWbvf5xH3EvImhdSr8qbweYTfk4pNdQ93bdQaGNbNzO238UV5i/I3KXwqfvxZBaw3PML1rz1ckRZE0Giw2MfAd4EykWkUkSuNMb4gGuA54EtwGPGmE12xxnE+YbmenrrDvBkwke+0OvmeX3nYbZXNzM3BtfQvNJsdgWS4RZMjh5eOrc0m68tmsZPl8yOqS2oonxQSQsohsZ2y4KOpiiC4bQtnT4a27vJSXXbPhwFrYfa5i4Ot3YGxiL/TxVlp9Dc6ett/VtZb9+oa9rYDLYd6qDn0w/Bfx3gsam30IknbFBJittJZlEZT2Z8BjY9AU9chXniy2yWqayees2A7afOX8xy32LyNy2H99/qHd/18jK+7nycw2UXw5I7YPZFyBeepd2Tx+X7b6Slxb7SdTxJdNTTJcaYImOM2xhTaoy5NzD+nDFmujFmqjHmpkTKMChO/Q5c8L+Qks2YTC8T89O4//U9+HpMTIvBZ88pAqyM09kxuJ5EhG+eMZ3PxVBUTVE+yDgcQprH2eseipagmRayptHQ3h01ZyjYMbG2tbP3HPk2FkWwiOXBxg46fX6qmzptKxpPK8ykvdsqoYMnne01LZTmpkbsvDi3NJufNp+DOeZSWP8oXXnTubz9mxwzcWCgTUlOKg+lXU6dq9Cq7NDdDrteYe6a7/MWs8n57J0QVJLpBVR97NdMkBoOPv2TPsfp9PlZu6/BttzI0TLqM7MHw5BdT2PKYdaS3rcnTs6nPrCQduLU6BbCiVPyuW3pPB7+4gm2WaeK8mEk3evqXXD2RrEoMgJRUi2d1mJ2ToRyH0EKAtbD4ZauXteT3RpFMEmvqrGDAw2WC8rOoggmrO6osZ7itx9sts01mluaTUOHYe8pt8INB3n+ow9ziFyOnRA+CGXW5BJ+yFVweCfceRL88bPsoZQ/TrwJp7uvZTTthLN52pzCxO33Q+ORHOS399Sx5PbXIzZSGwpJdTeLd8/szy+ciNfl4JIFE8gKU7UyHBfMK4kpgklRPmykeZy9N/ForqfQNY3G9u6odcoKMgOup5bOXmVk53oKlgOpamynsj56/5Vgwur26ha6/T3srm2xVRTBnKv1lQ3gTmXN+w2kuB3MiFA88/jJeTzTMoPas34P6QW0lF/EZ9qv47jpA70NLqeDf43/DzA98M9besdf3lKD1+VISFWFpFIU8e6ZPas4mzXfP4ObL9R+zYoyVLwuBw2B5kXRFEVaSCZ3a6cvaln6YI5FXatlUbgcQlZq5H3GZqUgYlkUwY6OpTYVk7PT3BRmetle3cze2la6/YbycZEjD6eNzcDrcrAh0E/+3X0NzC3NiehpOD4Q7v4P98lw5Qs8O/kG6snipLKCsNvPqJjFH3yLMO8+DLU7Mcbw8tZqTi4rSEjdtaRSFIkg3evSCCNFiQMpbmdvWY5Uj/2tJxjh1Nrpp6PbT4rLfnuvy0mG18Xhli4Ot3SRl+6x/b/1uBwUZHipauigsr4Nl0MYG6UywvSxmeyobmFHoOmRXVkct9PBzOIs1u9vpKPbz+YDjX3yoAYcuzCTrBQXqwKVZ1/feZgxmd6IxTlPLivgdt8S/A4PrLiVnTUt7Ktr5/SKQtu/4WhJKkURb9eToijxw+ty9BbLi5ZH4XI6SHE7aO3y0eHrweuOfqvKS/dQ19rJ4dYu8mOIIizOTuFAYzuV9e0U5aREXVecNjaDnTUtbDvYjAhhk/NCmVuSzab9Vnh9t99w3ITIuVIOhzB/Uh5v77WKkb6x6zALp+ZHVHZlhRk4swp5LfNsWP8Yb7+7FoDTZ6iiiEq8XU+KosSPFLeTYEBONNcTWEl6LYG8ixRX9O1z0z0cbrXCY+0WsoOU5KZyoMFSFJHKfYQyfawV+fSP7YcYn5sW1cUzpzSH1i4/j62yKhZFWsgOcvykPHYfauXN3YepbenkpKnh3U5gRUx+vLyQm+s/gREHuevuYlZxFkXZ0f+OoyGpFIWiKKMXb4j7KBY/eprHRWunj05fT1QLBKwop7pWy/VkFxobpDQ3jcr6dvbVtfV2arQjWA1h3b6GmMr2B0Pq/7S6kilj0nvbBkdiwWRLkfzqhe0ALCyzX5T++IxCdnbm8P748zm97XmWTIst4OZoSCpFoa4nRRm9hIbExmJRpHmcNLZ34+8xfZRMJPICiqKutStqvwuwopw6fT3UNHdSYhPxFCQ0uc6uMnSQqWMycDst19HCGMLr55TkkJ/uYfV79cwtzbbN6wBrnSLF7eDy7Qvx4ONi33NRz3G0JJWiUNeTooxe+lgUMSiKFLelKIKvo5Gf7qGqsYOWTvs6T0FCw2Gj3ZShb+vWBZOjl9xxOoSrTp1Kdqo7pqRaj8vBd84spzg7hW8vLo+6fbrXxRdPnsJeU8SW9AXkbX8ceiJ2YhgS9jFniqIocSL0Zp8Sg+spxe3gUKB0eEqMi9lBYlnMDlUO42OwKABuunA2b++pY6HN+kEo3z6znG+cMR1nhJbI/Vm6YAJLF0yIaVuAby2ezjlziphe1w1/uhx2vQLTzoh5/1hJKotCUZTRy2AtCq/LSWO7r/d1NEIVRSyup9B1iYoYSu4AXHbCRG5bemzMN35gUNsOFhFhZnEWrhnnQGoerHskIedRi0JRlGEhaFG4HII7hhI3XpeDxkCJ8VjCY0MXsAtiWMxO9Tj5ysem0u3vibnywqjF5YEZn4RNfwVfJ7jiW2Q0qSwKXcxWlNFL0KLwxLAwDdbid7ffiqeNZY0iL6RkR55N+Y5QvnvWDG745MyYth31VJwHXc2wJ2Ij0KMmqRSFLmYryugleLOP1RETmo0dS9RT6AJ2LBZF0jH5NPjcE9bvOKOuJ0VRhoXgzd4RY0mcUHdTbBbFEeUQqfx3UuNOgbJFCTl0UlkUiqKMXmK52YcSuoAdy76hfbi1Plt8GfVqV0ROAS7DknWmMWbhCIukKMpRkDbIqqbeQbqeRITZJVlMzE8ftGyKPQlVFCJyH3AuUGOMmR0yfhZwG+AE7jHG/DzSMYwxK4AVIrIEq9+2oigfQAZrUfTJu4hx3z//50JcDnWUxJtEWxTLgf8FHgwOiIgTuB04A6gE3hGRp7CUxs/67X+FMaYm8PpS4IsJlldRlAQRS+5EKKFWRCwJd9Y+8e/FoCRYURhjXhORSf2GFwA7jTG7AUTkUeACY8zPsKyPAYjIBKDRGNOUQHEVRUkgQddTrB2d+7qeVAGMJCNho5UA+0LeVwbG7LgSuN9uAxH5soisEpFVhw7Fv2esoihDY9CL2X1cT+pOGklGYjE7XDiC7UOGMeaH0Q5qjLlbRKqA8zwez0eOVjhFURLDYFt0qkUxehgJNV0JjA95XwocGAE5FEUZRoKup1hLH4Uqh0TWS1KiMxKK4h1gmohMFhEPsBR4Kh4H1sxsRRm9BBezYynpDbGFxCrDQ0K/CRF5BHgTKBeRShG50hjjA64Bnge2AI8ZYzbF6Xxa60lRRik5aR5+ftEcll9xfEzbx1IIUBkeEh31dEmE8eeAuLdjMsY8DTw9f/78L8X72IqiDJ3B9FrQdYnRQ1KpbLUoFCV5iLXKrJJ4kuqb0DUKRUkedI1i9JBU34RaFIqSPKiiGD0k1TehFoWiJA/eQSboKYkjqRSFWhSKkjyoRTF6SKpvQi0KRUkeVFGMHvSbUBRlVKLhsaMHVRSKooxK3E4t2zFaGPUd7gaDiJwHnFdWVjbSoiiKMkREhPOOKWbxzLEjLcqHHjEm1urwHxzmz59vVq1aNdJiKIqifKAQkdXGmPn9x9X1pCiKotiiikJRFEWxJakUheZRKIqixJ+kUhSaR6EoihJ/kkpRKIqiKPFHFYWiKIpiiyoKRVEUxRZVFIqiKIotSZlwJyKHgPeOcvcCoDaO4sQLlWtwqFyDQ+UaHKNVLhiabBONMWP6DyalohgKIrIqXGbiSKNyDQ6Va3CoXINjtMoFiZFNXU+KoiiKLaooFEVRFFtUUQzk7pEWIAIq1+BQuQaHyjU4RqtckADZdI1CURRFsUUtCkVRFMUWVRSKoiiKLUmrKEQkRUTeFpF1IrJJRG4MjH868L5HRCKGkInIWSKyTUR2ish1IeN5IvKiiOwI/M4dTtlEZLyIvCoiWwLbfj3ksx+JyH4RWRv4OWe45Apst1dENgTOvSpkfEjXbIjXqzzkeqwVkSYRuTbwWaKu1y9FZKuIrBeRv4hIToT9EzLHhiLXCM2vWK/XcM+vWK7XSMyvnwRkWisiL4hIcYT94ze/jDFJ+QMIkBF47QZWAicCFUA58A9gfoR9ncAuYArgAdYBMwOf/QK4LvD6OuCWYZatCDgu8DoT2B4i24+Ab4/ENQvssxcoCDM+pGs2VLn6fa8HsZKKEnm9FgOuwPgt4f7eRM6xIco1EvMrqlwjNL9ikmsE5ldWyDZfA+5K9PxKWovCWLQE3roDP8YYs8UYsy3K7guAncaY3caYLuBR4ILAZxcADwRePwAsGU7ZjDFVxpg1gdfNwBagZLAyxFuuKAzpmsVRrkXALmPM0WbtxyrXC8YYX2D8LaA0zO4Jm2NDkWuE5lcs18uOEbte/Riu+dUUslk6EC4iKa7zK2kVBYCIOEVkLVADvGiMWRnjriXAvpD3lRz5ZxlrjKkC658KKBxm2UKPMQk4FutJI8g1AbP0vsGa4HGQywAviMhqEflyyPiQr1k8rhewFHik31iir9cVwN/C7JrQOTYEuUKPMYnhn192co3k/Ip6vRjG+SUiN4nIPuAy4Adhdo3r/EpqRWGM8Rtj5mE9CSwQkdkx7irhDhc/yYYkGwAikgH8Gbg25AnjTmAqMA+oAn41zHKdZIw5DjgbuFpETh3s+RMkFyLiAc4HHg8ZTuj1EpEbAB/wcDiRwh1usOdPgFzBbYZ9fsUg14jMrxiv17DOL2PMDcaY8QGZrgknUrjDDfb8QZJaUQQxxjRg+bHPinGXSmB8yPtS4EDgdbWIFAEEftcMs2yIiBvrn/hhY8wTIceqDkysHmAZlvk5bHIZYw4EftcAfwk5f9yu2dHIFeBsYI0xpjrkWAm7XiJyOXAucJkxJtw/6LDMsaOQa0TmVyxyjcT8ikWuAMM6v0L4I3BxmF3iOr+SVlGIyJhglIKIpAKfALbGuPs7wDQRmRx4UlgKPBX47Cng8sDry4Enh1M2ERHgXmCLMeZ/+n1WFPL2QmDjMMqVLiKZwddYC4HB8w/pmg3xuwxyCf3cAom6XiJyFvA94HxjTFuE3RM2x4Yi10jMrxjlGvb5FeP3GGQ459e0kM3OJ/z/QnznlznKFfnR/gPMBd4F1ge+oB8Exi/E0radQDXwfGC8GHguZP9zsCI+dgE3hIznAy8DOwK/84ZTNuBkLBNyPbA28HNO4LOHgA2Bz54CioZRrilYkRXrgE3xvGZx+C7TgMNAdr/jJup67cTyDwe/n7uGc44NRa4Rml+xyDUS8yvW73G459efA+/XA08DJYmeX1rCQ1EURbElaV1PiqIoSnxQRaEoiqLYoopCURRFsUUVhaIoimKLKgpFURTFFlUUiqIoii2qKBTlA4SITBGRe0XkTyMti/LhQRWFosQBEZkkIu2BAm4Jw1jVQK/sd+5UsXoTdIlIQSLPr3w4cY20AIqSROwyVgG3ISMic4Cf9Ru+wlh1jvpgjGkH5onI3nicW1H6o4pCUcIQqKezDMgAXgEuMsaUDWL/SVhlqf8FLAT2Y/UBGAv8PTB+IlZJivuBG7HKPV9mjHnbGLMBqxidoowdPuzIAAABhElEQVQ46npSlH6IiBN4EPimMWY+kIpVX2iwTANuN8bMAho4UuWzDLgNq5bPDOBSrBpL3wb+K4ps+SJyF3CsiFx/FDIpyqBRi0JRBrIE2GwCnd6wurw1HMVx9hhjgmsWq4FJWJbEnoDFgIhsAl42xhgR2RDYJiLGmMPAfxyFLIpy1KhFoSgDORarWmiQY7BcRIOlM+S1nyMPZqHjPSHve9CHN2UUopNSUQZyGMslhIicAHwe+JWITAS+BEzG6l38uZETUVGGD7UoFGUgDwHzA66gi7AUx05jzHtYTX38wFUjKJ+iDCvaj0JRbBCR8cCfjDEnBCKZbgS+Yoxp7bfdJOAZY8ygennHk0B47HxjTO1IyaAkJ2pRKIo9x2B1EgN4DqgDrheRvH7b+YHsRCfchSOYcAe4sdY5FCWuqEWhKIqi2KIWhaIoimKLKgpFURTFFlUUiqIoii2qKBRFURRbVFEoiqIotqiiUBRFUWxRRaEoiqLYoopCURRFsUUVhaIoimLL/wNTDEC7X919vgAAAABJRU5ErkJggg==\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": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "c:\\users\\schick\\general\\git\\udkm1dsim\\udkm1Dsim\\simulations\\xrays.py:239: 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_: 6.193068 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 discretized and limited in order to save computational time using the `strain_vectors`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Calculating _inhomogenousReflectivity_ ...\n",
      "Calculate all _ref_trans_matricies_ ...\n",
      "Elapsed time for _ref_trans_matricies_: 5.337462 s\n"
     ]
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "1e18b1b101c24a0c9b2af37c688d9787",
       "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_: 181.211814 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": 18,
   "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.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 resolution:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "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": 20,
   "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": 21,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "c:\\users\\schick\\general\\python\\wpy64-3770\\python-3.7.7.amd64\\lib\\site-packages\\distributed\\dashboard\\core.py:79: UserWarning: \n",
      "Failed to start diagnostics server on port 8787. [WinError 10048] Normalerweise darf jede Socketadresse (Protokoll, Netzwerkadresse oder Anschluss) nur jeweils einmal verwendet werden\n",
      "  warnings.warn(\"\\n\" + msg)\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Calculating _inhomogenousReflectivity_ ...\n",
      "Calculate all _ref_trans_matricies_ ...\n",
      "Elapsed time for _ref_trans_matricies_: 7.896778 s\n",
      "Elapsed time for _inhomogenous_reflectivity_: 178.553704 s\n"
     ]
    }
   ],
   "source": [
    "try:\n",
    "    from dask.distributed import Client\n",
    "    client = Client()\n",
    "    R_par = dyn.inhomogeneous_reflectivity(strain_map, strain_vectors, calc_type='parallel', dask_client=client)\n",
    "    client.close()\n",
    "except:\n",
    "    pass"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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Nxx3YycPACmX/I4STR+LvxSWWU3wzjh8mMMqIPiKBmI7tkWLcWwoA6WGTG9QFbNkFtPi8CNt+3eg28hLLixUquOPaQEA2fpAL79Z5FVo5e0oI5uPlF7drEgRlBbxYfB0rjME7/S3DCvvefAgKCyF9nMlTGAt7WQ9Arc/WDaN97fGAZO3XFIIPDk6tfbmeUhA0SPh1LpzWvlG4IR1zGEFUANC5BE/J/beW8+j6s3N15HUeOQ/xUhy8QlAzY53K/ZGznRl47HgVTasLOws9z7lAWpNBlYscc+UbVQCNiTfY67WjD01VoG4Ttk3FUq8Nq0SGTNg3VUVh34ltSp4VVuX+t85jvh4rqsYF9aitsaXQq0A7blBDrh9KQ00wmBwKsstc6zGsWMjzNxEGgpvEbannb2hwAAtlx1DQcNArzBMY+9dX0ZMqjO5WfK/Wl0rvOVAS0OsLbGRcI8wfir+XR3Gd6xNc49bJ6p8yT+2cO0usDgC3Yk+Bt++4ymJ1AZi9GH/3DwvctPl9AO41BRDiAwXiA5OXQy5RH3rjMbDbJw8dSMrDtSKcSQW/N+5kLrxnk3XVKtEYBH/gNgaQLCbw3/RxtAZGUcvfBHkVMpGPrmJ1teR1/Wg+lPOBr6kUjuk8c6UT1ydrPxfKjnzhUTRmPjsEbsjnGG0TrGITl51hBPjCAm7IFzCGHdbbWJtAIxDjN3JeIuxFyDcIGivZ34nKyd7r2+IVHN003lWc42B3Yax8/oh9g/1u7Id7ON0u92yGQAqzWKGsXmNFUI/m3nJvZTSoCfbSAJBh3x1nl21RCtbDEWGvxkkzYMWxhAbpvRPcfilYfZcgHzWk2rS9GmVs5NGkBwQW7gUCHoyyM8FgXuRZ6Ie1i94CALdkGGVfUSYdAu3Q0iHMOH72HCuAI0K/x+tZsfT7AQ3DRv1+3H52vcHigTjf8hJ7FieUrPab8e/8wQDH8xDrlvWFgJ1n47IFE28/9AvRdfjIH94B31ZVEpwTsHHcWwrAjOAJbsICSL0CyQAgBJ+UAbA5BiAvkR8MLOPLj0I9BckGCmWmjUJRlF46EaxW+OqLOyRvIxfOQA7tbLbUnVFiNm5gtxkpDFcK+7R9CgxbwZGU0tmEfWss28EIAwBY+lJwJIG93RK1o6YU1hzoFSHnyGM9jF9zObelb/We7LqlnofCPNOFHl9gjDs3YuRt9/ILOp9sfzBZ6nEFRloNjWb4yHWsB1co/sEoqdwr8KDqvT7bPdkMz+SjUBQWvtOYFgusEXwJ/hv0W8xhTLtsk7LJky88SGN0iwUnH7ACiN8QG23Gm2gY2hnmbPVPBs0MkkEexr1jeO64BY7YC2elQL1Ty19gJIkddLcarHbi9qdsndOa4Fkmtccp8Lv70bj++CD+vfNaaLxBFNDuE4Rbj8d9Z9dYwN+fhHx3zAbFhQAJ08mtfeYLopR3a2DNxxCvYHmXhqn3lgIgo9mnAzJEIQkpEwPwmvpVjwHkaZhExlJU97MZWR5AfDnlAxHLX17WqrD3Tj0Fe8w8CDsxGT+1ILC1umtxARGqfdWyGyuA3jeFMvAgFWJDBXZQxWaglZpCEUFuceoUQBQYpy7sazCPzDOhSgaXeREGVKzS7Drk3HqfoBiBhXwg3GGY5+J0rnNJkHjydDSxJm9Oz0m2P5gsk9fE1zB4V1znOiSlkHsAPriqwpPrku3PEhPZNCIsxhZilpkGoPCsLIymyxD0HZNnUo8phRLbN8eyxpjLPugQCC0bUIHTW1JMz6QHi2EfCA1/p8OSt99DSvUUReEASOyvTVk+/SGfKAt5WjjNwpFgcBAFcBtYXRYrPx5zcqPB6iIrFIaK+r0A34kVz/d81+PCB9ijfGPcbn4/QKxkTrijdjNPHsXux+K69X5SCpIu2u/xab+AFJfgUcnpGI17SwGEZOUTlWlgtRx1CRq3k0GVQWuEubinNgbgjJUv8zUZBp9b2nJOQMQrp20p7GW9CHtrlctwFPQYeUqdrAfG2HJdYYglzoINhDz45wOphWYFu10vy0SgiRB35DX4KYLawhd2Dlkmx0gw1qBBWJt9lAR2eS6jTI4t8QurgDTOklnWS9/q9ct1z32n6Yi7ewn7FwXg3xjTPCcuBdxvLyMsJCmgQMpw8iDjUQks1BYZYSlO4fTcbZbZNg8wj61sGjUv86yjCgtl1r5VAEk5DOnb4WVT1yfP2zxD+W7tdyRGlZ6HN9+LbC/JF73TeKBCPIMz2D/v6wICC3THqZl+GlKwmKEgOm4QJmNIxwtMdV8ALXk+9jq6O8DqiLdjyUoBWF6M+0g66OrioEJb8P71PtByfr9AQfsfSQpiwRn87Slphs/9vxqv9fl3cCJDD4gtJp5Ae5cuz/eWAgDUnfODU3xQXrtgoCDFBbUwhFLKmUsvWOPGH09A6YpOjacgI8ICKXVUjgFEhVHEEdq1rh9Z1CZILP+W+ay1n2f8bPrYNmUB9d6N5svn0P1cvzHoC5jYQhVrrsEXrkjX1DgFBYWUrJBs+PANxudr97VQRy0dV+EW79R6VkXF/176FpMsa2dp4KKJegVOg7+HB9Er6EwA/ebNCAvN7ksdIyUu0JAvFc/QaraQjbPIsbqKR7Ut3jHeLrPszxgzcEgpxDYjS/6uiuDuAN/naaOh+o6pApB00KavGgWihDU1uk+et3r0xqDS74ljen7tQKIATCxAMwL5PKkJwCnHGVjY+r0BWPCy3bESAUyNGMuYYc9j8mLcfvlgnH95EYrZ+ykrjhXBz+Lvx94TJfwTf2KKxWVRCqwALgRMGNtfH/C9mRK47AXr/bjs4MOEk6vx943HWfDzNovLSeCvDvmET7Yr/XtLAdBYyItm9yb4C6RtAIOPDw4dxwAGs16tclMHIFYGmW1SHUDFKhfcl1/wrh10e2vB1ArBciy4D06t4X70cSbLX5ZV87B5n1lmdToDN4nl3rphgzIol+m1KsTUFC673adWB5ArJx+oEDYDHDqMBeAAVwjR0TFFwaCeAy9CUASr5KWvfIO9djU6p8XQYWeSCtvidi1unkZJ8cDBHT5m0AwifzPCDTYFVIv02r64J31w2Kvg/PI3v69jGG27QK+mixZBYF99tvmQ+2rfNfvOnSVt1HqZtlLaGib5PiL054tJOmeb/w8W4nwJGudbdHrnJMtnWLRAm90zgsJBMh+mHu1z8Xn2rAB8FyD6U9JAxer3OwOmN/g9upyUQnvH6W8AmNxwWHCh2FPviu9QswyqIO77+fj32c9PQWDxNhaXgcmt+HvJCmN1mAK8a+6/tst2x+lDwB7HG9b7fE6vtiCwQDpNN8BLTYDAQrzN4KmIAVAlp/iuMQAR9t5pjYGMCHeMLU8bFFZhvyXIa639OmYf96kFgW0lsIWC5GMrsoA2wAQWjknHFYt5nOaZX38eLK6mCKLEm9PH3xT4uA+lAPTBoaFxdbQVlGIdW4UqY23SKjXeYoql8rTNxdDigLN2GnOex9eilf/6Sy/qtYqVP3lwrnPJPBIYnhlrV8Zi6HCZq42bLR6NHYO5n9vGNqG8TTk0lawueey1uoGq94jSAwCMR22oJTSbbmgq2/M9GcpKeUnrJkfp2xUvPlAyBkVh9GRMf8UKFOaBZAtOBs34CZJ5M/FJ4LMCkOBt2IPm40vWkJ+GhP3LLRwStt9zQdjOM06t+Gufyee7KmGb1WHA/lMMG3LK5/ogZQHNOZNocifOdfogaXygyeCkTePeUgAmBmAhGefGwt7Z1E/J7pl4XW+FeR4D6AdXZPcMnjCRimJz3E2FYMEoBxmWY6bG/5PS3OqVwH1eCFOJC/hAyeOppHyq91AR1DZAm+CjBE/UqnfzlMd2pABTNlAulETozY23M1qf1R9swrirBWNZ8NkbzhoZWvxFoah1OO07XJLgLx93MbRoTsa0Gz44FfKX9uMXa2Mlc153NFmo0BbPq/euDL6LkjSB/LyqedMYF9uVAdxtQw2V0blIFk6ZmrtN2dtztjUvOXxp4Vj9BkbeoDXWxp60TajNuYvQ+ET9Mk0wjlr59jYybo8Tzhaa9hj2GftnoR+mPukM4exhYd8PBM+W/exZLgS80ivfjwj99R7QLHgf9gqapcHqGdrZfYYwfyD+Pnwirrt+mIK67XGCh2Rf+XSOr5LOqwHhyFzyKlMASArA9w7dNGVu5Nv0lRiADLclBmCtEw0yt0MRA6gVgtng1aQbxwBs/YC19rdVAtcEgK0RqOGtm6gg7NiaSQRSQV7F+Q0lQCHYR+fOLzs8liG68l1mbcdlY8XqyEJEYp0OBaGYHTXr2VIqpCB1CrQCEeMXQTzv45c7eKc1AXKs4/UEk6sc/DUwj2T/HM5StlDPaairvtVjpPNkQRBKSCtl+YQU+1A83xWKOi4Xk7W4JaORK0BHoZoeepZgsn3++TLrAciw72nt3ZURgvlWOB7WNF4LwMbpnxjxfen5TzyGJT93UQATX60EFoI4Eejek6aENtcZCpqa+ybGzk6CggKngTYSTxhIU0gl99/veOx8lKE/Fs4nDwe0HBBeH/L2K1Jlc/qgFeiM/X+IdI45B4SZPgorhoIOnwi48ZYxPPSqo4IYuXjy/meWvfekFRwKBQ2uWgfgTMAJiIJaXqxgtqlh+nkhmAgdq1SCEcR5ENghVCuBzxIE9oG2ZgHp9VU8Bhm9b1TYjagYPoE00FodQH4u6w3nAiS+GHv8qa0XsJDFVuzfxiAkCM0WeFYRDKTgb9cMiuXLtd5ezHCRrfzEnulwYx7Nq8cZFgLSO6AxoybFACQICtQrgD/ekdJbt9cLjO6JeEom5Ta/TzKaDQHis1CLWFhSPTvv4Ph9FyOHKFn78jjbdkDfp7gakIy3ENI3rvU37YBBSN4ky6YbUk3AqBKYvyc21ELvoEyfgt94SqyaEvzVNNBUByBVvc3c6XoRvMMOIFRVGiCeBTz2v8cNPvQ10YiYXzbYPkNB0+vAKUNF8/v5Gz8l9KyEDj8Yj/XC29kDuVRSQczSq1kd95YCAEaBH40BZIUe3sYA1P2r1wGM0soQX0SxOiQH2XunisJmLxQwj0+xg5rCEMtfFEYtCOxBmGbCHiiDZlUqCErcNrX8/rNkAXUmz/6saaDWclQiL4VWanUAaV7dz2St5DBDrRLYVQjNRtCBmWMTGZxVAILn77brVCjG+Xa3Tnbw6OVYk6/Uz0OLW9ciycvs/pT9I1XE8tytIpR7aC1lue6E8Sdha68lr2HYNGw85Cxje8ygXGe9slrMQJaReV/FUGkNrYMYPOI9OwrF8+naAUsTCAaSAhDYFTAV/k0yCodRsFi25ffUJIF4DvjSvAFdYGOIoR1aU6EUAnsF7QmwluIwtvp3PtooZYPVoVLt2zFD6PLygKe/LHqcTqiidwJmzPK5YChococwX4vlz57AhwnHr4n7XP80/tZ5DksdIcVpwhi6adxbCiCk4E7wTgO7+iKaGIBa8fy9tB9HDMBykHetWB7pdGS9pIPW8Hcb5C2Iv+4SBNb0TpOtU6OC2EQVAdTxWRHcm3hdcsvfkYf34xTOGjy09k5pFuy8ZW1A8hzyALMtBBtXCrPgyXLkgbEVW6ZBpmOLZSvX0DmPtU/BXwDYbVcm44qree9MsX9lTGm88q1yxliYR+aZMaV3Z4quJAtm0gwb4xKtGwooZhu/z3i7GqxTe8YlVCPLAWOJ6/IyQOyQKM/l/R9Rm2garmE35e2XfVs1QuTbsvxc8v1qdb58L71TWEar+BsPsID2NhagQeJ0TZpNyLG99nqLnjNnpNirOXUpnVOsd7a+l5cCiFnbvGYNNYr9D7yfW6Xq4Id+Kr4nH/nKRnmB9p6M25+8JsUF5DyPrwLdnbh+dYnv3RGlmAIL94u/FXe4+WZSXSfBaO1BsGHcWwqATIonBTSNWANZGmigkg7a1A3YGIBYJYI/BhMDEE9AmECBJGwmzaDCo7B6Boedrh/N2zhfZA2N6ablWKtUCCZuMqXiMCvYbZYQEK2tWZbXbvmCaoFhTRs1hGdldWwJpywNG2jaz8FhTAft4UbUC3YOSzO90yQBK+c5InxT6CEdz8JB8leoIGR0NGDBPnh+LAePJVeYyvySFgoAt5n6+fD+O9htxwrg5mqGo8dv8Mhtge8AACAASURBVHyp98GNZfS9bRWxWOXaGKZdFYrUnlvNA5DhqopP7ifpO2mHy7wxh2FETCejVsSnc5g0ZUBiRXGORSjFiCiHRd+l52kgyzwRwipEUSiTZlCDb9WPq+2j8cXfP3/rYQK0s/gs+ptTXjZota9a/i4gMN9Qs8vb7watAyDB/k8ao5XiH+KsoeFgwNH743Xf+gz+Ju7zmNwYY/vTFx0W98edn/4yNgCuE5b38f0/FLw/ZfBMb7IncDl5BUJDvToKuPRrcbvbb2Dl8TDPsUgFYzNmKpk/iK3j3lIAMO5e5zengQ6UisTknTYBz8FaDDyS97C9DkCErX2J88DjqBK5EgOQYWMATQ32uUsQuB7gHQdLrUWW4KPyWLUsIBlDpYrYzmOt7dJSrFuguiw7z7jNZvhiTFmQrNF0ruIpWO9lPJ/1UpbKjBqXTVxJ8XBxZ56wf35et5czDf4qxBQcjpdxnyu7d/S6BEoRj+JCN69208rvTbqm0ov6REdemwGkZ1XQPli835fKSGsYKu+pXV6jNrEjeeESDxrQChmcQLmjxkzjGEDwlOBg8ZgHlxJBLCy0zN6x3QGOqaG9eBGdR1EHwDg99r1m6IgnEKYebhjP61tote/ABWEP/HLAs38wrl+xJ7DzLCn0I3n9i/uAFVcRT5kfaP4QcPxaiQfE7cQTOHgyaG8AiSO8uoLAIWX1IKTmcy4TniP6Zgnutj6lA/Nf2/zFpo7W6gDkGAoLfRwxgG3UBVMTF8grQTcFgXOKaNuDIM8Cih7DOGi7iQsop3W22UK9L4OVeg2NpXMog8HeQDUA5+hDLEDBxB06Ssycskws1rtVAlsoS8aQwWtyTn1oqmyg0k3sziIK89ce3tRnIsVf14938ZYHnh8dazlMMF/G9YnrJ6hVLpZtNynfCTUEKDW/SXnzqZq6FgMYwzxjhWJHYlktISh7f0rm16FqNNS5qMYxLaDeJCbPjiMyCRmreA9DSN/gmimda1xAEtzt1w0mnBmolcBrp02k9IwIyAvBqBvQzLmwT4T+JKjlLZxArVA/7w1KBz25zgVhD/rEFqq8P0FhnOXlOPG1z2y0EUzPqaduTYnX/5Ek4Pt9cT2g28kxrvxs3OG5z5FzSkFgKQCbvtJBYCKaAfhpxJ4+LYB/EkL4LiL6bgDfDEBoFf/LEML/cff5BPcjdPyQ9cHyD9f4lAZKaT952J02d0n9AERQr9ZtBat/aTEAIH2AtUIwxUKHtlg/EvaV9LocChptRyVF7zj1rsTnk0AVb8akIRrBaZu4yHZpnhQgrqWBrrOYg82K2XZOdv5CKd4FFx9xAWWcRbJuGVpl+dzvhPnTa0aQWLu7pkWnbN9/aB+7Dz89OubKt/p+WmUox18Z3iP1nhiySgq7zJ6qFbiNr1UUZdBAs64zz6425LnXG87wOcF4iCZoXVCPV5RD9J4zBWC8Ime90IyafQjJ8ErxAfPcRSgKFLxy2jlMsH2/aFLRl97DoMsCN3NxO70KY2nwgjakfgBZujitnQaEJ9IE5j5SK18KxoZdj9mL7AFeZOx+3+O+fx1/v/hZcb7lZVsvEJdd+CBw8y28ngvBJjeBZexeiutvyqgg7ksNYE4fwmiuTePl8ACWAL4shHBMRB2A9xHRT/K67w0h/PdnnolMwKdLEf+CCsKkiFk66KYbZx4MPtHN1grLhiwHGUgfSut8EbSy8YRcYMUuYeO6BRtvqHZBMq5zjYyrFgTeRAVh0/FswDmHAmwWkIV28myVzmQBjax8xZl9uSyDh6y3oRknZFptbhHyQyWXftymUoKQySuQ7WvejM0IOmVSdaGEsEFeKf4aLq81u0XGYui0n629J0oMp8+z9NRSQVZpmXtDZzFefrZMHxn2ftaE9qYMo01KWefaElC27+lUjuM8+r4UPUVvBNOvQwnfTAe/kH/jQwouy7ce7nQoXH8QIC0eucAvzAYN5jbHqSFMjlRJhpA7dfDc9auWBqpBWKS8fW0Xue9x8jB/71qxG7D3dFx/ys1clocp4KuKZUGJQE6oIJ4B75fOUyuSX+lCsBBCAMAODzr+7+MDNK317co0UBsDKOigkV5KGwPIuYDcGesAbGVtrkRCSNZMtb9wJQisAV2TNSIWU61gbLSPiUvU0krL/ZKXUBailS0hHXklK9vGEW+XTV1pyeZpoIAtDhsL6fw8az2B82Et5eQBlM/fZuWIMLbtLZXfn/sBtG5QiOZkHZXD4X3HRZD8eD3RZufOKLZ1BkHZe5jn3NeqesdwVz1GEK+5fm9q8ZsCvqxCRqKUyzlG71rmndplDXmseg60t/yMmwHLvtV5AOmvMd533TdopwzNafYfw7yGC8g2fSpSw5tQVgJ7pFiCnMdAIFEKAqPYOgCeV6z+nedanBwIzBOX7T7dqBCW5uzkSWGcvY/E7e+8ITGESoP3+UMBkr8gt3p5Cdh5Lv4+eZSXXTYFYNwneHIc5zr1VHQJk/7Cm8bLEgMgogbArwB4HMD3hRB+gYi+EsCfJ6JvAPDLAL49hFB0sCSibwHwLQDQ3HdkCN+2p4HKCMZjqMUAfCUGUKsDoOzjHXwqZ0+tFkWwlx3BzhoEBlDQQQNlIM2ye9pttDgsC8xtygI6S0tIH1wSxtVUwyTscgFVKz5ah65yzDINVgRbZ7bbxpljYwV2XplTlMvSZAVpjrrB+OfreH4XJchLQZ/tzUU0qQ5NS0gR8LeXM1yanY7uiQ+UWnDy9jWPyV5T7bnWGEJ1n8ozqfUL3pRNlJblAr2k/UjnbSCgLfCU9V7zCndgDKnKkOSMaJSxApCU016KulIShnjsaD2GLLtnXAnMMK53iSuI4zFh7eAYUhZrm3pKdQDSHJ63X++ngLAohWGS0kAl9dMtSSkg/ITPd+V0vcQHFpdN9e5cLPwAcLcd4RvqdwIOPkx6DgBw5zX8nZykFpOiAMRb2DReFgUQQhgAvJ2IjgD8GBG9DcDfAvA9iHr8ewD8NQB/prLvDwD4AQCYvv6qvi5+IHRdaVECGRWEKH8TA5hMUgwgt+zXfVOtA5hNhMeHlwWnwrjor0qJJqJGAVHrkiQWs4WFrGVVK7HPc/1rVBDbsoBG21WriEXANcWypW9HRWEyVwHLBCoIzCwUIkLJFoIVRV/We2LBZhvD2HaJohQkkDsgnVOTXY8PpD2JZSx9q0pZAsMOqSPYzesRVH3k0VtFvcDt+QxX92+N7glgc/xTXET5/7MMpZoiHuC0oXpt2HfDMm7KSNQS5ajVc2zbRtNBfTPyhuP8lOJw5r2TbyYlaaTeGKPYGO8shtdy2ab4gcTozLeWK4+m8+hPOVi8w3Tb3YDhNCp04m/YFoJpH+DjRgPHUgfg5k47gJF4EXz89YHXXsCrB/i9OkztH4USop2T4vDC9TO7Rji9En9L85f2JAV3D5kA7uZBInzT3sAPQQvBRMhLxs8DP7vGx76IqUgOx9tsGi9rFlAI4SYRvRfAV1jsn4j+DoD3nGUOL1k9015fNk3H3EIFYesAZNRiADUuIAsV5bnncZ5k+cs2qfdAwt3zeoG1r7eErFUC15rC2wAvAMxcX3zQ2hCmEqCzbrwyX4amCETG7UrLesq+cq1PcI0OOqc7aEzQMrc+Zb64XUU5VYrf8nOWc8s9BavQ8lqGlW/V2rbelBZ4fTAi2btvWKf2j7xufjLB5KGxoF6HpmBttdeYF6fVsnO8yTizyjSH6mqFYOP1pbDVddazEiFv1jeZtV9LV7Z9r63nmTLnOM7khqIfQAikQVr7Tdr0bAApkBss5MrffztgEIruwUBFOozyECUgHcFOO/SHfA+kIcydBnkQQCx8TDxmL7ISv8SZVxOPyU2mAmHsPbhkhYvVP7lJWNw/ho/2nna487q4z4JhnGZJyj0kNBJumQLNV38qGi9P/aFY7fXCZ3Voo9OqPQWCK78NO16OLKD7AaxZ+O8AeBeAv0JEV0IIHL7A1wL4tbtOFjCidRYBrV2AeHhvWsMZzb2tDkBgH2eCS/LqtM2Q0kVVsIethWDTdqxY4j5jNlBr7dfI22qVwDbwWwsM54HGGgGXrQgWBVHneKkIccMomtMZ1GxJZ9IaBXrZRkHhAym3TwcbkN5sqY75gWoKiC00to5t1W3ereu0n2Cvi4pNMP51cFoT0H9aIoVLjd/5ulpf9P/1njRLbJcDxNFDdMW52HO113C3YK8GPiv1Ag4+zblFP4wx/bFREnsqhNF5SlGbvVZ7Ljb2pA1eJA3WDeZ9crqfpcMA4vcpsbkJZ+41lUSPEReYFH4yAtDansCKAQf1ArRvwJ5PtQGSQtqlOIP0Bk4N471a8ZIq6ncHbcoujWP63aBMnisu/jp+bWoEszpiI+JSUhRive8+Cxw/Fn9LIHl6PRV7Pfv5UfBrIHmv7AcgMNGm8XJ4AFcA/DDHARyAd4cQ3kNEf5+I3o54iz8M4FvPMpkldJIqX43tKCeIeXDaP8CPXFBgnI9sYR9RBrbTl7ibnWkIs60QTIWjurAmK2RLJXDXlk1aRkFgY4lpEHpDSmg+8sCw3W7EvLmFDG4bG2hnax5MUDdRM4ugSvPn7R8HOOXvsFZqHiS2QtReX7JA3Wh7AFhKzr1kpbjE1S/QyWJosZ81iemHTrH/iweJFC4pjSgM9/eWJm4iCtt6ACWMk3MsVfH8igc2BFfUN9xtJEpnQzlt7nuX9VxI+yXFkiAgVzz/0T4mtpTj99bLhiHIy/n9m8YnA04CpOb7r1FBkKZ3cnZPNyDvCUwOKdWTFYDfHdDcHheChUlQYn+tAxALf29Q+ujdJ+Oy00dJG8GoopgF7H2U37vDZPVfVVoIhmwuBExvxPUpcEujXgNAVBKaBcTQz9HvxHU33pyCwOoJ7G1/N16OLKD3A/jsyvKvf8mTkXlJyHQEU3oI6DphERTtTxTUUhCPwQp2ywWkh9MYgDN0tLwsbC8Ey4V4jQ20Ia/YclPJ+KkFgWsuuC0SyxvC9BUrXo5ps4B0G5PyaYPBtTTQu3HDyzHXFW4ZIFnk+XV1bmyJWmt+ZoRU3mGtIQ/PkMqQKZZ4PMH+43w7zSpx9ZtUTUuLAURrV7D/1z0Sy1Y6E78Q7+DCbFEU1q1N4/nOPBs598SCWpZsWoG9rSPaqA5A2EjPSAZXG9sUSr2K28QCMrwflAyUuXk3qv0A5PuUNPzGY7WUorDs/Tf7Dr2Br/jb7o95v52yEhhNAMRq10Iwr2ycAh+FJugyUQB6/muHIIyiU5Y1K9LGMdoZbBaw4Lx9iQ/0BwM+9kXRVWi5jXS/G1RoL/lQ8wcM9s/kbosHUnGXUEcsuQ+xW6e8/x3pBzB7hSGg3+uhFv1sGLV+BEzRVS0GcMY6AGud1JrC1xrC1ArBVFDa6txMYIWQ+Hy0ErhCB22DwDVIR+cPNDoHO9qasDdZQK2xCGuWXW8qVWU7pVU2+HS1AnhDHUCtraRHidlX6SkqgUm7vEYClxekdS6dr1T4tuRHRVxA9Aq6p6OQ339MeITCKPsHAB7cv1MU0a2MArDKQQS1MsRmFjkAo4g3Zz7lo0qxkFUWx2WbMf0qeV/l/GrvU21d3jO7xoIbKChEFHNGokWvSReVbD35/kQOeEsFoa1gU7Ze2jMk2ICVh5v2isdjIVBQea+1qcuJw8Drl0zU1h47rI/YuGTHhgLQH8T1h78V573x6aTdwS5xQdj1tyXopzEZP+1zLMckNXUWdL0WgF2Kf2fXUgOZJc/16moKHzBq8KIFWGLR82bVGADGuCwQXyaL29ttABiCtrIpvC0Ek2GLuiSQSEZg59w9fXBFENhae5sCt3oOAlGYSsvUs7e8nn6LxW4zbbyBSPJRYwNNmLEVMGUgO68DGLeV3GypDCB0GRXE5m0zWIi8fo1yfnJdLQ0K/SglRNuPqCKAaOGHN0RTzZLtiVK8dSfCQ687ul5kTq18qx6ateK1P3AWAxjDXqXArl9zigHkHki8ByHbvpIiCleF1OK6unLIqUWqsYCQKtvVYjdGjvJmhTJ+0LlBDbiUmj2eazTv4NBpU3hWOmsHmpb3RKx3mouwhxaCtTc5VjT1RT+AwIHc6XMOJwzpyLEmH3XopTZAIJuFU6VhC8IkuHvCtA/NIhVtqfV+NVX0ThgeWjwQUitIqQcQ2GcB7RKWewKbxr2lAJAedhgI7WT8YFNFcIJ7xGNoJyZHQlM0h4IozLmgL5u8m0Sh6ExkMfjcwrGFYCPIisbLZB5gXDCWZ/dMKkGzKgV0LZWzIji2WX2byODSvqJgSut9MMpLi3lsCqkqhRr0I8ppKJSMDTjn1xzPPVm4OReQpaJQr2xUczGmabB00GKR3pjv4PAg+ue2I5gEQodb0Z2fPVYyqq6GRqG8zpWKt9phS9M/y/u+6R6keyFCW96TMj5U2956tnna7hDIBPrrQj6d5/jdGlFEo1QANoFCDCpl4W2Hohm84vmEVAjGRqFfO4AVgOO//rhTnF9poWGKvu4kKEjiB3L5NBDyfgCem8CsLjSj4C8QsXuFkXj+5k5KAxVit72nCcePMRx7GP/OXkhkcBqgXiVFMbsmiiJlAV34N/HvNc5eOrmSlIKknK4Oy2dux72lAAhbO4JJTIAoYBjGMQAAW+sAUuVuCu62LOz7odEg7lkLwWSIYJ+YTldbG8BXq3O3Z/zYNLwyq6SMBaRjVnrTGnoGi9WXEExpbdYgqFodwDqDPeyyKfUFFYSD8Sg0FrGdCsJ6USlLiPFZGxj244rUHYP/i4C/fXMXjz18jc8lWcWSGtoeRfzeBnl7w/8jXEL2PthahPyc9HpGHsBm6KfWkOesQzuDVbqqpeyh0ttrXepH0aL0AGTYuJRtCFOLPYk3MGID5X3mS87vl2AwBUiLJ/USll1KNBDFEVCtBBaKaMnusYVgngUsVi6lhPbj76ffHzC9xp24OOe/3w2YXmfo70i0E1InMCk6c01SFOxRNCuCvAJLoYW+nrB/8R52nk/NXm68mb8jjiOsD4DuGp86zy/KYtO4txRASELeNV6DPwIBKazXO8MLFJcNfYMuawk5BCr6AQzeqbC36aK6nXlxxaKTGIC8wJGXPu47Y8HvkBqdWCjItiKUIVa+JSHLGRV9IMPlH49hYaZaQ5icC8gu09aUpiFJLV9+aSghcit/6voqz7xsl4Rtgg5svn48n6GAIppK0VdcXsYFciqIZZjquYiQFeUw9xOccN6e3ENLBy39AJrJgCNDCyH36/oi8vA+ePGOXr8MrQ3oO1yenYyO60GJhlriEeo5+SoFxLbArA0C19dvjqlYWLRmeMj2Nv1XznuRPU+HUMCcq6FRSmd5x+frDpMwhkiJSL+7BbOBDoHU415kyoFMwFlxfwJ6zv6RfuGYeQTuF6BCf3AglnzhgOHA6x0GZuvEHj+Lmy2y9hIgzh4KMw8/YQSAid/8jscw4WOx0F8fBMwYxz9luOf0qsdD74vzPfuFvOxKwOQWwzycBdQeE9oTjgdwxtH6gsOEU0jX7Fkc/i7fm93YRAYAdoVC4sqryQMARk3hN6aBWgtcOH5GXcDEKjeBSvUESi4gu0zGpEmUz2p1aKDYFVkOmwrBCvfYMF+etRJYr6FmgVdd9wSt1CwxOx8wzgKqzSejBmPYOoAcnonXUSOUE0wbxfa1SuDROeTwRcUrSJARqWCr0UFLcPfwYF4Qv618gxsnEbR9zcWbeq1yb8V7iPQc5bkqPYQbn5MdeZZNfn2qKMz96sy1xX0rihKkUYD0bF5a1tCmZIFceQzeFckPshwYY/k5bNoPTpclChg+pjMFYBJPaD28pH8y7OPaAZ4ziVTaBUqogSgFQuwLDICE+bcNCscIpOOkC9jMY30Yj7HzTDzm/KrXQHJ7wjGePY/QJEgHAPzU4/qni/Lg+7ET0HAWkHwKq4sBhx+I+9z4NBb6+wGXfzWuv/7WuEwCv5ObqQGMUkKcYOu4txQABcX0qTFpoNmLaKkgZDgXUuFYm6yPWnbB4LMXi8qGMIDJOMmw98HTSy8EM4Iq5/63y2qEWzUqiBzysS673b+WBVRrCTkUpGUVqAq+CDA2ZlnO9+MDqeexY7ydtaZGros59Ph34QeyXPoybB8CYEybMNUCrkQHfXseFcDl/eMC7lr5FifXogm2z30BLGuqrdHoMmt7CE6Pkaft2nMetkBA44D7dg9g26iRz+XzxuMlOE72q8UA8jHyNmvkhvZ4NA7wRuiV3wGhallL3C2USRjdkKggDGlcykiVHwGQOB976H7Xw52y8rjASEEXoDxC7GW00plrnzSQLEkGtHQKKVn7ROCg6fU41/xKWnb423HZrTcBKxbarXABHQScskDvjtOy269jw0xSSDl4fPCUx/I+N1o2u4at495SAEiau5mkNFDF4m1dQJ4GOjh9ibSxtBGmWq3YJ0FnMcm8DmBtCOI0BmCgoG2FYLZXgOxrIRgZNgis+2a4v91uZixNr/uWTd7vngWULP9tx93WSN5agnkdgFINVDiGYtERipHPO1pXoTleGes4t/xt5o8I9pSN5NR6lzaE+13ZwnHRt+rmK2cQeSwZUpLisK4ZytqA0BStODdRQMg119YXUNldeiRsGzXq7XFTHTEUeF1VOaRlqSUkjehLZN1QeZ4KoZqWrDnNizSGsVQQep+aoLz9tiWstoQUpMghFYIJR/VsQHMzPrueq2dD5+HWUlDG80qP4IUD9jn4ez9DXHccVhf5PZKK4IG0iEtaPS4vu9htDMDyIiu0BaHngO/Bk2LtJ0VxxIri5ptTde/j/yAWCXzw62Ie6I03O3S347rFZZYrF15NEFBAago/SgP1shoAOB94HAMInuC6MFoG1Kict9cB2H1rGRRAFOJ5cHkTG2hulTduOx207lsLAlMwWG2O49Jo33xZLQvIdobKi758cAVEYa3SjlkcfSBTB1AGgwuOITgA45TIoTJvTSA2FYVV21bmW/tGFaT1DkR47zAV8azpi2D6nfUUOw8yLYRRshLMnvMcF6fzKkGePKeuUgCmRXcYB6/PMkTZyL4dBuRwXczrL6GnTUrWmaK/tKxs/wkq37vavLYfgNfvLikAJX5bGX5/8cZtxp3sa6ggtBEMQ0Gu9Wq9S84/XNAKXy0Ea70KatsQJh9C8ja91mAhzeCZMK591mHNaaAa3F0Q1pzzLyRukQso/l5eitvNnics2NpfMStoOyfF/iVdtDsmrJle+qk/comPIecG7LDFL4L/1RUENsOmgZ4lBmCJ4LyhXSjqAKqN2lMdwLAFz9SORsaaGlnvFUspxzFrJFsACisK2OAh8DFy3LleOOaK7WotIW1P4CQIyyYhNTpoWT7a11Tk5rUGg4ljWGWjaZ0jq3QLLGSVRgb99CYDZ6cZc/f0Q6Oc/xdm8cuaVHL/by9mONqb8/zpnATbF9qDye5Q3HfrAdQ4gGwFcLwuX9xrYKxwX8qoNYax87lKVk8erLepuTXFYedda2YaP0PzjSlTqOUbMkbZkH2XzsYJ5PgmWaNhWEZSc8Ms1RJ4UQAUVClIgNjNengJ/jIUNBz0G+sAQBHyicdga/5SKKkbVqQEchIfOPodwopTN5U2ekhZQELxsPsx4M7rE/QDAEe/Rbj1Bhptd+k34roX30Y44QyhjtNBRdFsGveWAqD0EJuJV8lfpYKotYS0pFGyXZbB4yio62+DtjlttCWD09MzsM+2QjCFmyzfOsoX235gRSVwJRbQe5cYJ2tUEFvoIWotIWXY49eKuOx2ubW7Dk2hFJZWABkhz7NUg5ZdHtw1HoiMhrxJr+T3BCkuIu0XFX93Q8EGuvQtTlkB3L8b+xhZ4j1J/bx1cxcPXn1O55FjWpI0IEI8+fX3vtHnl9pUjiGmeCdSZtS2CuC7ED5+wqOhoK1A7bLau5jOKVn7YiDVFIU8Q/veW0hXINmpFG4ZLqCcCiIAWu0/yPvaU8YIGkeQBJI5QzzTQQu6iGmeaSBI7YD0AxDcf3Xk0UkrSOkHsOsxfVGW8fE7JF4gLgi7+SaHScwbUN6fxX1AezoW9r4j7Q0g+x5fJUwY5hFPYX6Z7+sKGGLYSikmpKPYpnFvKYBgcv2dL2MAJqVNhu0MppbllhiA5QJKMYXUm9TWAYj1LsJ+FLTbUghmg2cvlQ5aRi0LyN6DfLQVC7NmdY7x/OR11HH7kG1XFmwBSAVgWfXriKdH+HlcvRAszVWb31j+mVcQyej4fmdkcB35ohJ5MXR6DZKG27pBLXuBhyYfnGH/dczuacjtFv04rbclbwrg0vHlGJ0rn2HOuzStPGdrxXu5fLL1D06XJSrpUskojxJCgfNbAri8cA0oocRqVhBSMx2FcygpeTufNUIAjMjg6lxAcT8t+jTfuFYC9w4k8bdqIRife+9AIisEClqTwkAk9BByrJnH7EmGEoVGug3qMQgb6LATMOOuX6e7fJ27Hpd+Iy67dmi2e2Fs2c8fAA6ejL9vvTGu6/cCLv0WW/yfzvEopoLYewa4/To+dekWVrTYGo97SwHAUEF4B4hQlmW8TQg07g3A27t2XAcAlDEAb1Iubb1A3hTeoySDy72EuExSThOOvDY4/VmDwInIzeybWWDbqCAclfGGURzBZPzouWt6YWmxjdsaJuGd9i29DAkGa6l/RQGNWk6azJOzVALnx5XrkQwm63EBdTbQ077DjAV/DfoR76B/43wU/AWA5TBR+Ej2tRCX0j8Em/47jrfYe7Et8A2MUz1fyhgqMR17vO37pmdXS0OWYT2AXEE4CoXwjgWDPEQ5toMGfUvW3nRP1MteN5hMUyMYAPDHnVr7+soEJGEvmTxLBzBE4xnnb04aeEkVFyRBPIGp1969Dad8DhcG9HviMfA9mQbVVI4hI7/jceMt/G0rnUNQwa8ew05QojetBzgIqQCMm70Ih9AwARoOKUlAedh5NXkABJXyIQCNBHV59agiWAS14INnjAGMLPXKRPUASgAAIABJREFUdpZ7Xqz8vBDMoQIZkR95HLIsF0r2g6lVAtu0zWLZXagg8iwgy0rZGgqHak/gPA0UZWB6Ux1AsUyD1h55k5gRdYGaU8PWSuDUatJSTIhl67Hk8tFEBsdYs1W2IuD7TvsBpGI6p2mdN0+5JeSF00IALn2rzKAP7d0ZnYe9flv/kUNmA6jM7jFeRG0kBU0blcXdhg30lgkHtWfiUQTwQ3l8+04m+upk0GxjA7X9Omo9PFQoi6e+dgic1SM1Qh6JDkaEgi0E045gN1v4GcO2ojBCaggT2ABURs+pV1hm/3fju3G8R1ovMJHisFnQ/r9i4Z8+ktpEXvp19gTeHgu5gJS6efpIChIfPhG3u/U4tHPYw++L7+nTXxovenE59RA+fjT+/WToB/B7OjQGYAiecioIAIkO+owxABm2XiAtS8I7WTZhYyHYyDo1WQs1NlDtA9CMoQhgHNzdxgF0FiqIahZQheTLbldLA01z+HoRV64UqnUABvqRnH/TSCUvBGs2QDzbUifHBVOiKMe4e0eDKoW5KdwS6Ee8seXQKvRzfC1+pQ+87rmiKfzKN1itE6lcPIbldkr0EHnjmNE1ZCygmwjw8kKweE/CaF3cfxxAz5X53UY1GFxRNrV3bFRnIO+6G0wczMQ8vMA9HBdxfgThAkAjp25eM+3vu2xTVo/IgonXnH/lEQooOoJRsIVgPF8XIK+RpIE2t/ie75N6Fsv7ONFk7jRLKNkupNQSyuK5Iu05INZ8ewJtHi/wkVuSeiOnD7LndYc0RvDM5091XyB6AuJFaDxhf7tB8HJ0BJsB+GnEjNsWwD8JIXwXEV0C8I8BPIbYEObrak3hRyNgxO8vvN1SCi7vxIgB9Ix1AJanJGTLIjwURsuAbYVgblQwBmxmA61VAjvaLLxtQZjyB4nywOZG3TVSLpsHr9vdJQ20NRizwAETo3irJGRZBpXNBkopr2WBnaVHyMemytmaUEqFVRKzketLRoEEb1vni34AfXAK7TQnpjYg4yw67Se6z8QUliXLXxRFi90mdQcbn2/Jyhkx880f8sgD2OIpbNvXUcA6jBWlHXka7BQo3rV4rzPvFWVHsEnTFzU0wRx/5GVn+f/WeNO4gKGAlvz/bhbvP3Uefs6N5K3eyyqBh1EhGM/X+SLTR9Iq3cLBH3B2GdM97zznMJ/yNSgbKCkdtEBGO88RTq8mSAcALvwu4Q5TOyy5f8DsGnS7NZ/TpV8Dbr5J4gFxuzf8z7Ee4Il/75IGhoUKYpi+8hDQEsCXhRCOiagD8D4i+kkA/w6A/yeE8JeJ6DsBfCeA77jbZOruDYnvJxeUIaQXZdQSUgOzaT4r0IFxDEDG4B2mXdbrtVIINsrqMRlBQFQSORtorRLY0uduCwJvEnZaO4DxPRkts1XHRR7+9jRQu50MDYKOzrdUCnl20aoyhw9ll7BaJXADE1w13Dl5xewanVq828jgJLtnt11Xq36lKri7eqLb5Wmtp32HnQnHD6oUyRIEd5hOEkdUPrZBMDI2NXzJs7qsMLfZUDnMdzYFg0KZ2mPaGNOoiC3jzAoGKlIP3aY8G9hWCjBXQgZn7w3vookhVSoIb94IPVhK/xQq+Z0BzfMMFe6KdxBAWZnGuA6AZ56Kx+CU+E0go/Y2YdhjpSDKoy87fS0uk3oIg/EYNAuIj3X7dSaDiIO/Ug/QHZsWkxfFY8DW8XJ0BAsAjvmfHf8XAHw1gC/l5T8M4L24mwKghOeRC6r59YMRQ6BCBy2YIFDH9tcKGYVxRTGikiAqhVxeCFbtCMbb1nr9VltCbqgbqKXcVbmANgjq2hy1Ss+OfJGSWEsDXfumyOH3gdS61iYkcCZY6Ufzrn1T5MHXCsHscXMvJp57CQtZKogh814sYV2vtQFxmwttausowe1F3+L2jWhuPfBAjNrVir/uLGfY5fjB+Dm60Xa9d+lcKimvOUSzqRdAjb+nxhpaNngprUKH5Knk2TiOfGFQ+FA2Kaodw1HQe3EaOIBeqUmxI9FBQ7Pvat3/1AMQT6T1GE44aKz1AyFVAkss2AXt/6uQUZMKwcTqx8wbWIF/SNzRIfECcUHY+tBrQFgse9+iSAM9vRKwwwRxJ69h+bOfsoWExuH0isX0xeoPOPhwXCZFZwL7PPIvV3j63+Z7zHGC2ckr7wGA+wH/CoDHAXxfCOEXiOhBaQofQniGiB6460QGu2smgwkIiytog0ZlS8g8BuCcL/oBtI3XF1DnrZDBtRXhXesI1lSDYAaz31IJLMPCSVUqCMk0qtBNyBhzt0jW0GCOJddgs1bGQtfuG5ePIRAEB4dSKcgQ5XA6pEIsaf+YLMugH51tCSmCTf9S6uZlYyupKfz4GoAy4OqDG3UCA2Levioj9g5O1hNMn4wf1sFrxqygQCr+unU6w8X7pGewhbTiOSgbKqjaAUzOKa+cduS30kHXRg3G2dRsJh6jVLZWcdTiRtv21WeIUG0I45qxhxR7aLCnwHGUISQyuDyrzzWJC0iO3rQeve0NAESK57wS2PQMl2VkOoK1nN/fT7zuK9k/QuGwPvSYMPXzUjyASdACLHms/W5QLv/TmbHw5R5LT4FpUGvRGSpn37ERqqygAXcei7+1NSRLzuc+Z6JUEAIjCb/QpvGyKIAQozpvJ6IjAD9GRG87675E9C0AvgUAmvuO4IT2wccGhACUblbGYOAhXdY3aMXtdsnqV6oGwRp7g0vrS+cg5sOkQtucZzT0Q4oBaH2BsXqslarVxo0EFNMHVg0CG6tLMlNE6LWjkn1fzlEJwmqq6ahbVQYPGJIzzaGvZNB0TWqmooFfpGydsg4gqKBUZRNoNHe8J6lN5EutBI6FaGNYTCzs06FT7F8CvzuMzQMJ03/21gVMPiv63UIL3ZHX6zhm2ujVqsWFbqnr0/lncQYq205aAri8crrmAXhQtbPXNsu6luLbZV7R+FzSXPkzqVGPj3sdJ6NIK4DN99FkSiHSQcdlCxaAy3WLGUNqQuC4FGbPkGIAo0rgHf6OuCewb0NZCYyAwELbHQvXz6CdwwKnIdHSqcUvdQBS1ev3Bgyc6dPckcrhAetDnpcF+7Dn0TMENLnBMaD7Bpy8Nm730M/GM3r+c0hpoKWJ/PFro7cAAAcfZiXiSFNN22NRDnGO9UHqIazkca90ENiOEMJNInovgK8A8BwRXWHr/wqAavOyEMIPAPgBAJi+/mrQ6D0FTQOV4StpoFIR7Jpku3hTQCYupngCFu6o1QHYpvDbyOBqhWBlwI/KAHJwaLMMkbuxgrY2jhBk2Wa3vzbvCLKo1AbYBu5yzWexIh1SFkxRB1BRItO2LwuWyEPqa7e1hGzIG+hns+Wft4EELKFbGGH6ADC/voPLj8Vm8DXo5zanfu7tLkfB37Rdag8JRCOipRLmAuK9UTI+DVbXrf9a85ccAqvut4FCYpPysPUqMnrfFPEzR+m7G2UL8ULbDyBPibbn7oyiCJkxtsriaECmAEz6JwAMa6dZQjDfhBSCScaNXzegyZjbxy2cpnWqJyA8Qd2AnoPAe0/F53uyY5rC8ys3hMTlf+Wn47pnviSli77ItNDtSaoAFgioPU08QqfM67/7bOL8F+v+ys/Fd+6ZL2ix5PaQu8/w8V/pIDAR3Q9gzcJ/B8C7APwVAD8B4BsB/GX+++NnmU8wfWcaNvtKGmiZyllS0HbtMOIeB+q4/GRUB7A5BpBe1qEyR1kIBiTryRZubRP8es2hzPgZUUZUBEuNC2hbFpCNBdQKtbSLFwu9ZlSvMMbd7fXYOoBciXQVT8ShFE6WCqKmFMaFaFnsQeigh1bvv14DAua8nWb+7K1xMFny9RjvSXiBuG/AwWxZsewT8ZsYCPvdcmPfgrVvCi/OXkNtuNHvLQqyBgFlGWf2XKxwcJkXNc748cUctvjLFoXJshxSBZJxJXDPatVqqnXO+DtWAOZYopRMT+BRG0kACJQKwVjY47TRdpKQ4rB5A+0HIIKdPYb1TqKOWB+UaaAi4GkgLTZ74bPZU74FLO+Lx7JZQFIHsOZMnoMPATffwnAQF3atdwmdwEGM819/M1ObzJMSWTA9hBSabRovhwdwBcAPcxzAAXh3COE9RPRzAN5NRP8hgI8A+BN3nSmcLQ3Ue4qVwsAoj1gLtbpSQFv8Pu8JXKsD2BYDOGshWEt+zIUCoDFVv7boKw/gxmyd9EHJyBvCbOMCskpEFRuhbAk56uubzi3n9x8CIXLtIuWeo+TnqVFA5Jz5dvuG+kJgbqoEznPordCTY1ksXiz2GqYvgv3o8FQ7hil1BEghHWkKf/nBa6OCOiAqCQ3+Viq78zHAGcU3jnucZeQUC0OgM+1/NzrqPOC7qmS82e1Gc4hgN884Z8sds4HGe7jwndbpaC9uSeEeyKRzCxREaFlQayXwYoIwUcnPJ+WS5GPYp73dod8TEJ7f8TYoa6gyg/IfWjQAB39XDPvsPOew4GMJHXR7Qljxb7HmH/glwgv7HGdkRTG/n5S3RyCe5SVKUA4fY3URePAX4/rn38GQElcCP/grA575fIajWGG0r3QQOITwfgCfXVn+IoAvf6nzaZVun1w7hWx4mxodtB9cYg/le9IPbisHueCOtg7ANrNeb4gB2I5g2wrBABOsNh9R3v5xWzUtUKeCKILAFeuvLmyHDVlAYwFh+wTXetLW0kD1XEZ542XwOS8Es6PG/W/TQc/GBZRmFot9xOfDgv1kEb/cK4e3i9qAIaSewP2tCAHtPrJG7r0NIFUoCdopyd1qVbjbsmwGuOK+xm23eApb4idAugeisNL8pSfiQ1sNCOej907f4xQLSIZPTQ9qFzAX1BgTpSCQ7TCUXfd877SwS6EgFxC0JzDLCZ+Oq3UAswAs+L3Y5Xdx4hX71z4DHCju7jisuHJYPIFh4hJVhEDGPZmewAz7vM1hFhFFzBnj7/cDdp7ld4Y9geWlgIffF4/x0S9mI2oCXP80NiSEFI4VwPU3NZhw2qdAQZ8UQeDfs0EJ73ONV8tf3qFgMgRkodBBkzPQinEr5cXSGIB31cKuvCGMWB1AaXX5QJhtKQTLawQA1K15lEpBt3d+5A3IMhk1OomyS9j27KIRbXCW8+6DqwRrjbtvK3EzqEDKJFeGuqGrCKdthWBA3WoV6Gcs7JrRvFotTb7A7JfDBMcM/Yj3djBZlkV8vlHah/YwwkOzZl1g+r1vsBrGn1lLJUf/YIRuXs28yYLfivNvWRePM/aUnGFNxRblUDVGrAdQua6yH0Cqtg/Go5RjaMC/8eg5cOslMCuOqjkPQQX8qoEXI89UAgcWwGRihqIUxFMYdge0Nzn7aMrn1oT0BYgDwMK+ueaKIrH1oUd3m2HGQ/7GZ0B7h9/3S3Isj+5jvIytfj8NGDhLSNNGdwOe+wPxnKZcIru4PyjM85r/OxolH/2SCR8TuPAEf6dcyyAFaZvGvaUAAlKuf+uTR5fBPUCigpDRNIZjh5fZGIAIdOd8EvL8knTtYCx5PiYS970sS3GExCc0CgJnBV59qCibSiVwNeAbUlP4Gi6tna6MYskxWzkHu51tCbmNvhdIysKmgXY5v3+FFE7YKwfjWdiOYLVCMHt/gA3CP5TCE0DBBSTzT11fDRBrP4CdmPFjG8LIWPl21DM4bmdSSDXe4EbtIeW4hQegMYB0v6yCtXUV28ammgE7B3B3BRGPNf5egO3vmq01sYH/UgF4YBg/ixBIU3flu+raQQvAepPXD2BMBaEwb6sGn2b8dQOGtaQQJJhTlIJkF5Chl5eGMDTxSRcy3Kx00BcDWs7+WbNlr70CkNJA/cxj53k2PEyzmOOrcdtdtvpPrqYm71Mu9JrvJEx/9iK/H/ukhWLPfl58TzuuslpeAo5fy9i/KIy7JNffWwoAGHUEG6TIS/g8eBvbErKxvXlFeVRiALYfQF8EkFMdwGCs7RoeCozx/sDbzEzPW0ttm+PyjkK1Engb78po+w1e+SYa3wTBbOPzSWmg1pp3mdfSUCioCHwom8T0uq5sCLOpEEy7YyEFI/NK4E3V0XLuUvQl93zqTKcvfoaLodNmLhd3Yk5/jRV0MbS4eSv66o8+GBOyR16MpkM2+n7MsuYzdjtbuJYH8s/SDlKGrZ2wf+2oF4uVVN55QN/OH5eXL1uuAEKgok4lN3pkaGBXFEVjjDE/fk+rVBBNwMCVwNIXwLUegygNiQW7EAO8AHzn0nZcqOU4vXNofYo5aj8AnmrHY+dZrhdgPB8Tr4FZy+i54Jz87ibHoC4PitF75t5u5ql1pKSaNgtSyEmygPafAu48FucToreHfjFe6/PvaDSDSBrMCyfQpnFvKQBzLWEgxfnyGEAIhGaE30sMgPlBspcKSC/lYDh2xhlBLPgN/UROczvmCWK8t0kv7JBBNjZvOvUOLrFwW0xzNzKu/AOsZWOk7eu8PzJqEJHeL6qkgRqBWiMjyyti7XFl1DqC2ePX+gWnfc3z1GOmrBrl168EfrXqd2j1uWs/gIrHdLyegD4aPYD9q6tiPjnflW+TAOwSCV2NSRMYw27bmsDEa7s7Bm9HDb6pEcltG415v/LCwk3HSs8lVT+XFdupxas848Z5/Y6l6ctIeYgzIO9LN2A4iSa9wDixElhcTpnYQEFSG9B6QNhAGbKh3qX0z6wOIHQe8wf5uTJB3OqyV5xfmscPs6BpoEe/ye//gdPso8X97Al8jHD6SDwVwe93nksWvSiM5UVCxz0MxDuQVNLpdWD+EBulTCMtlcSbxr2lAIBRRzAtDxfhJBZ+k5rFyIuzqQ6gyxTFMJiCLZ6/HxqNFVjWzFq1LxBT+fKOYJtYLAfD7y/b58LWYvs1KghbJFbj9pF1tSygol4AVM1Rz9NArfKqEdDV6w7Gc3U240k9oBQgtT2Bc6t1U0FYmV7pCmoFEdQNpSYoth+A0DlYvv/E+MnVwaspcDVCRKIo7P2yzJ9K2ldhAFXlhPRM8i5ldxtWKVpOpW2jWkRWeG98bpQaAtlnLWmt9p3LDZCR4WM830azeczxZDsxshA0EUPqeex15VQQTesVRrKVwJLyGZT5N2j2jXYEm6TtRNjSihCkp67wDQlNRDdoC8nu+fhOrA+czislJjYNVCz3necJp48kOAgAhlnJDxQaShXAnEG0PAIe+vn4W9JKxeo/eDIoB5AqjEuvJg8gYHtHMFsHoOug62oxABm2H4BTwZ+WNZmgHJFhZWRwNqVNFUtIFa62HsBnngKQBLpQCtsg8Mh7MN4AMP4QCyUyWmet85At88ruebc00JTxkwRqSWRmLcH8nEoLfEoJl7exhVolcE4FYdfXuICS8kpzSA8BEey9d7jAOf+1Kmrp+HXjZAdHh7EEs6YopO3kakjc/3qfKlh8b1JlXRaY3tQPuAYD1agl9N4IfEYBQyjXbxo1GG9bvYFdbxWFNVTyDB4HJDZQA/eIVy3fk00CkSFn4hofsXwAfikQTzIUg7kG4fx3zO5qC8HCDn+nt9rUsEbqAJjrZ71Dmho6f4BjFrcdVhc5qYSFeHNKmhIqcA694NAwzCR9AVZHAZMb8VgLbus4vx+48vNxvo99IUPKk4Brn8kWP1NBzLmZ/O3XE3afjb+lH4A0htk07i0FAFQ7grlm/DLV6KA3xQDyfgCWC0iE2fQuhWDKSSIurMk4StBOmsObF70WBC5b+KVAWg2O0GutWJYjWCIL7tYgi86Vc2xKA5XRVYSyzWG31m08zxJG02vYkPFyNxI4AFUuoHUw1B4VMjhRbpL66SgoVp9afaZiLgkQrz66hwuffmu0XTyuxBvEY2jUg6vVOqRrKaG9bQHdu41tweKGvHo8dpTwoZ1v/OxaN8BzpXQtGcHSniSSOePlybc7iAeU3gNNvjAKIO8LQC5BRpr950LkCAMwzONz8r1LMQI9BKlFrx3BThsEiSVK9782pBdJnQc+1twh7LOwZ8HeXG8SGygf0/UEx96I9ACYXwk4+s243Y23Wauf516lZS98VoJ3gBjUlToBoYxYSRewWfIGBCZaHb6aFAAllk9QQCO5trxaA68GR/ZaJFLWAdT6AdgYgHVjbYYPMIZlxPK3KWp5oUsNEyWqV/1Oc4rqCpzSe5ew5Yql2lasR8vBI39r29uc+PK4m9NAa3TQsV5ijBWLIBxARVOZTbUJtbGt1sE2S0nKo6x6FstfLPvddp0sesMdJDn/kvkT9gfsa+ewktJCFMp6aBQiShXT1gNpRvsNxtp2Fa9H3p0h1LmAzpotZCm05Rgbi+1MZpqMatUvle9LrWCyFnC234J8a0Nr6mlEAUhKbbCwrSiAQWMGvdA/rB2CvKdyTE9JyDMW37zYYtg18QBEa5tWCfMHoJW+3W2HFe8rimN10Rk2UN5+FtDdZpiRg8HDzOPkES5w43Xrw9QSUnL5F9PUB2D/I2xYnJAGmk+YEkKs/juvTRTRex/lY73SVBC/t4MSFcQkqOS3TeCBcQzAdgiq1wFkFviGpvD6IhpBZVP2gHHRl2YLUeJ9z3lqbCVw3hkMGGcGTfKce2wO+MZz3/AxwwZ8UxYQ1Dp96Wmgui6UdNAxrVOuo/QiRGnsmP2SpcgfG1Bi+xUYaxMXUEG5bISosIHKmDV9lfhMeIGk6nfv0qkKdnt/bDAZAFcbj+sZLI+SnOcoMK7e09k8gOaMweDcs5Tzi3PY+bLninqjl1qiQT5sdbA0hLH3VyHaEAoPuR9S/Y02hjHZRTJEJvg2GX5k6BxEQKs+86R3jKRieNpEOggA4OBq6DyIs4ryOgAEl4rEOBYw7Hi0DClpGug0YHpNgrb8zGceK24T+cAvxe1eeHvKAmquJU9AFM4JZwEd/m5qEC/poJ6DQO0CWLN3MOcOYuI5bBr3lgIwMQBQooLIOUQCkiAfxQDUfYzLJrZuwAh+zdc35GXSwEPG2qeKYSv4ZS4tXRerxmbXWAswb0mJShB4lHttAriVTJJa9bCsyzlbestJJBQHwQEYb3e3NNAaHbR+9DZ+UAiMejZQSWXtCyG+KQNGFaqxgDWmoLn5bJH5Vou05L7NmvWo6xkArIYWd9jyb56IqZ9H73xWg7q2cjr3KBrymkbaVdIf83aZDdlc+rtkAW0QuECqJ6gF0DeNjfQUgdBSuW2tTqUWA9KOYHxPRp3wDLRa0JgMLlGpyHs9oo5IBhoA+IHgpHevQkFNqgQ28ytVjGQZ7Q3orrHXtiNyImysA1gfekyZDnoh+f9tUOtcPAc/C2qVTzmXf/4QKa309bdwl7Tb0N7BkgU0uwacPpzmAYCTh0mLwmTexf3x79EHAq6/lWUQY//SZGbTuLcUACFZ/WunD1nxQU35TEyd4vYNfaKInrSDbh8y76FpvCoPjQGYbmBrA6OI0BiM4AcYi8xiAERBaQfk3GyFaGfaOkLiBiYIvC3gK3nmEzcUFcW1LCBLTTDJyctAWgnaUZn/PsoCykjLxlk9ySp0qlDi1nOOiq2DK3DxAQ4ujAWB9Qqsba5UxhWIxHIB5RCS7QMsinm3jXDOTpPoHOYC+6yneO5aZOiavCX655dmpwXx2zo4pZCec6zg4s4pdhpJJzWxgiz4K5i8LU5LNQ91xbEdAtr84UdPaYzL24I4LezicxpBdUjeTM5Mm1erx2tOCnDOBVn90GDSjr8FosSMqwpj3aYYQNYXoO9d8tAlaWPZwsm9lgrf2QBwQFh4f4igDWGCKJbpgJ4t9OY2X/eFPgWLpW6AFYzfHbBmIT95kTO+7hsSVcRNyS5KaaASC5g977B4gK/xiNe94DRnXzB+N5DSQ2h656XUOGZ6nQ0Zpnu49QbCwZPx9+3X8bqLr6YYAEwJdzska0C6f4l1aond1sYClQBykO1hcs5FYFPROAZI3oAzMYC8Atjy/+QZL5PGBpIr3kZI19AI8VitOtbSQxTUDuZ8MxjFpm2OSL4qWUB5l65aFlDcUs4pDmvh1iuAxTq3sYKSTkLJw+5C/ZwgDTnPthCKlgto8OOK4JVPbKCC+49J4RLb5yP/a9x39c13ePt+JNCBKMQFKpJrrW0HpHu3LlIkS29nvJ+1tu+ewVMbtfoKm3xQHNN4heIJNPbd2cLKGo+XIDqAv7Ga98L7K/XzKnXqm3TSy4MDtZSuXX+uSNO+RQE0E4+eYRySY7oAaRRvKSE0++eYn8naaTBXBxeE0U7AwIJ9dk0KwkjTOgXOcUuC30teAwAc/rZDv8/Cnj2G9YUk2AcO5K73g3oNwv3fHwRt+3j/v4p/r3Psop8BK4kjSGOYi9g67i0FEPR/IFfD/lPQVl6EEXUED5uZk8M3g0+WBRml0PB0TaV5ua0ilrk0q8ZY8Tk+bTOA1kPpWdTwdmt1nSkIvCE3P65LMQi5T52NlVQJyryuqzaFr0EALDx6jIVjUzk3TyYLiuoKBahXs46xausVjGkHLPQlgt/SQac+wfF8b57sYPnvRg/hddwQZtLYorc478q3OGZ+IHm2Ezeol1NL/8zpKaxS3gTJABl8ptdfi3eQYWhNkF5jPK585EFoe7xaoWCt/7Sem3mfJSFiNTQFM+6YDTRZ/coZ1I7hXssFJJ79QE2qBBaiyMablpCivVL8UD2BNm1nq3k9Qyma1cPbD1MPsHcgBWHdLYflJf4+uB6gO3Ug5vgRgrjjRwP2n4zLbr+Rr79LXED/P3dvGmvblpWHfXPOtfY+zT33vntfX6+qXnWAIQRIhBGkbINlEHJEjFBkK0hQSUAUUYwUHOS4wo/YMX9QZBsRWyEpG2NjWciJII5DSgkOiY0IUdngYBeiwGVXvWpfvabe7c49zV5rzZEfc45mNnuffV9XFPPH3efu1a+91hhjfuMb37CqoGdvScsf+d207e2v1F4Ct78izyiysNzZW1T8jfsBzAe/nyAgWBoowI++lH2bJC9jfM548FhJRwRPBW7P+6ixRecIIZQPe0EH7eQAauyyq/IIMrUDPOvoCLTbTAZzAAAgAElEQVSZl0iW7ZkE3qUCaqEle049FpDmCHLkWvDL7ayAjU3P6JXY/9BRHk17UENV3wsRiOtIQdhhjzvlFCffazbwHgrLWSorXxuLwp3fOcStJ1NI1asOlqrfZcCDjUI/QCr+qnMvEa5h/+h5t42DADXUwYBgqnLajn1nBzVUuO96Pd2fekYKACAzA+B3YR4aeXU7bF3PtMl5A04GSx2QvrsCI4Uo/P9lle+XcQDcMN5BmTs+J37pwGvBWJ4J4O6g2D/nFjLLJ2586hkMIOZErbsThMLJBWEUjEHnhi9HWrBlWUAzawHlxO18qAVdtg0k6/uwo+L+wuHSJIGfyDPQ31dJYAdDA1XDX7MHtslB+8ooA7ZgjKN+NDmAMShtbVtFLwBsYrvMFp8JxmmKlerZgEcrB/16JIHnQvZB79dDs4BMJNijgYbKKHhHph9AGZ17R82x1vb+iLHZrxJ4obbZuL3GXkVwrQY6UZAcCUfzfj3j+lqF4YCqm1ne7+m8EsiCi/iGLdr/PUeq67fOU6+VYbT+DKBtBOQLp2GvlZfXQ3M2Ldxn21U2MxXqzwClI5gphKzbXgKmjiZ/Z8XgNJdm7gmn+UQKIoLOc36LK4E9afGoOTWRh+Bx6QE25EUdQN6I5aUztDOcekzMNMrLNo94gWpUDVR7AnOETyvCZW7/+NSvpc8XvkHhI2JWzwMnFcCb3CTm2l1THZwdwNnTadnJc4Q7X56XZcfhpy/yDMA59zYAPwvgKaRn9INE9JPOub8A4AcA5AkMfpSIPrRzZwQtxBijKm72oKD8+y5GFTRUvYPnReEe2w+gp15YVxaPftG+Aqb+AKg0gUSptCMBbByGM9EhIyq9SN1CBXIdHNmjlePticDJss503uK9PCwLyO6vxrZtxWjZY7b8fYo6AEmqs7Pr4OUPUwnccNmDgVlKY9dTA51jkETuvfPE/Ll+4xzHmfPPCU3L1uKq3/ubtTxHB2ZmUVfRLuSbGYBSWWln7qO4tleZA0jHK2dPvRyASkBHIQZIAGAhmB0OLjptOmSrf0WjqzMDEVnoEBXeYUkX3gfQ3KUwRCxsqDe2EphP1GzB+UPuDfwgaFGYWSaSz/n0uJhrdTdgPsqzhzxjiAcRyB3DnJk5MBefpaI3Nxc5Flf1ru4m/X8AUg9w8pxSPtk5nD3ppAXkC9+QnWOuNL684Zp+AKwXtG28GTOAGcCPENE/c86dAPgN59w/zMt+goj+0sPsjKdpcIbWyRi8NbxM/eKoYmyNcvCxgW8s51+aT5iKXdEE8lrstVQJYuc04SoPs487k8D23OokMGBnEh2nwFh8aFk4PLZrAbX1Bfyy9yqFReSuU/1qaaB2u7YhDM+AgmE19RyHzk7WBqKS43YMYC0FsRjJhFq6IomylfdrIi/QDz9Dj1871Yi+qMQui77uX6xxlJuY26RyTyGVDb/tEpauL2IX/VMK3EytycOOXgMfO3Ya9E5AYeHDmmgwRy/XJhXRPgpNVqvobXiu7wwHbVOeCUQTxMk2JmDy3Nf3Xq4EXnmhhnYLwZjX/yBoQ5jcWJ4GgruEbAMotLO5TioCx7YlkDJ4svjvPKoRvvnbaR+3j1QMjmGh9SsO00lp7C9uOazu5CDjsXwaB4SXvjYzxlgKIkNCl7eAW7+Ttn0lU1mXL7YUBBE9D+D5/Pd959xHATzzqnbmNIqgxUn1Clf/8SMUo/Yctclf2zwaqCN1hYJsMjd9AkPQCI3XlyrKJmlsBOVM7mBXEtjSRXv9f3l0I//qRUzbbGcBFfz/TtJQNWva/cl59PD5Dtyxiw00x6CCeh3DroVg1IVD6tGTgojUisFx1D8atpaVhDjLDuD4ML39x+Om3+y9ah7/4GyNxx5P+kCDwDjtC5gE6pg6yVLRU3FufD0PO2r4bCHfpcvWRZHpN+k76iJZX0FBQBmU8OXaZ7aetQYjpW4dilTPc0AHLdRk+X7R//IkzkNOz2mgxzMBTAHEkuN8KHNu0hv4KAq+z/mDsg4gfzIN9DBiyPTPOReExUNVAw2sHhpJvmMc/+Alh/Nc2MW00svHHIb06Egid3OTcOu30t/S4OU4ygzh+Pn0HXcEWw6AO+/Ox3g5fccy0tvGm5oDcM69A6k95IcBvBfADznn3gfg15FmCbd374EKMaimD0BBpawi+8WLo7DLeBvLLihfiuQohjqnAK010MSwl3VqTvO2QrC5cgprY0SLHgEVfl/0ZO1QQweBVHS7tqtYK2FgMeseDXTsRMA91kqt/wOoIelWv15RCFYP2xRe1utIQVgtIMGWi8bzJRST+gGkvxn3Pxqmrsoq3+v701q+F9mHoA6jcXwUVPwtX4Oth6idRug49tQ5LAcgjp/XfrRXc/59R/ZhgW+kMnj0nH1ZxLcdDlqiR6wCGjsbtlAQVecZXJQZtzOtIHlZTwqCUQCpBD4bpJsYDyJIRC/9RQ4WIMtAIxtvHEQx+CIJwTZmFXHxWJ69cUHYEwSWj+aksZ+0mpd7Aq9f8Rgy1ZQlI+YjwmFOCDNuH9eEO1+R/r7+iXRKd7/MIbOZcfq29MmyD/ffAUkkhzxz+b3QFB4A4Jy7BuDnAfwwEd1zzv0UgB9Dihl+DMBfBvB9ne3eD+D9ABAe1QaXRWRvEsNAcg7yYDEd1FFRRQikF6PuCWy1gNi8DMF0DmNox2mzCtmfgaRE7tawHWqJaCLXsCGcMdSip9IxIqmytzS8tv9qT2++2wu44nBbDHoXDXSm0EAqPVpn2nd5LhOp/MK+hWC7KoF3SUFYLaABbc5CcHwjB82FgtcM7l8btikGbQqfcwXHR5faPN5Ihsi9cArfXNZtIn0bpfNIjd234/2LuV8N3LRnfwFbfyH7MoFAXT0eKTaBgp0B2OM3Pa4NDXU2z0lNDQ1DlPeIg705s4Js3q+QguBZBs8EPGkil3MAhLIPAAA3ROH1i1LnaBLIPEPnqciaEHNTeMqFY+HcSyGYJIvve8RVCR+dPUN46/+dtv3MH+VcBQkEJDOBtRaFsRTEwUtO1EdZCoJnB8NZgqYACMvo90Q/AOfciGT8/y4R/QIAENELZvlfB/CLvW2J6IMAPggA63e+lay6Z8zvM/P/BbqBJo14hBDl2WR6ZwgaYWgOQHVC7Exhye+O0jv1xa7F4Ea/FOwfIEUwvZaQNUUuNY9Pgzsobev122MB8WgSvmgVPev9pfO1UXRr+GXZlmPtkieYKzZQb7/bCsEE7+9cQ+jMHiz01DZgZzy7VQPdLEH6AVjKZ90wx+oD3buT5CGeeeq2kYbejqPPMRSJe3utRW/eHWMhK3O9ewZgt0nHasXY7PntGjYXUBMOesygzeKbGhYLs1o5aB7aCN5ocPFM2px3TddeZi9Kv9JIZhVAmRHkpF8wpO2j7QhG3OQ9OwC3cdLmkZvCSx3AGKXH8OZmjuxfNsbeXJB0BxvYcEd8/htKHP/icTXoXOE7H2lHsCnDPOu7DiMXhR2zsU/Lnvz1Gc9/Y86VrBVa2jXeDBaQA/DTAD5KRH/FfP90zg8AwHcB+K2rd6Z/0uLgxxZ6AMrooNANl6bxJTwDlNFHLaRmm8LbKLemslkmjySfDZXTVl3yqJPAs8Fse1NvHj0YaXBxa0MYO2OQ7SyMZKp/d9FAe2qgUjdAzhQdZfzeLUXikrcFUOjeiDNFwBot3s7DwgNibDr1AL2eB6xoyXUBhXZPjsi9I438De5fz4Y2i/YEjhdp25PVpUA/wcyo5JwEltLjrqruZFaVs1dZe2VP4A7jKLp2m3ZG5YFqhmQpvXXVb1Gdbtfr5KP4+RzN86Qz7rw/p9twUeQSneTeJBdggjJX2bY4eUkSF13CJiaEmJlAvnzKjgCmXoAhG7/xiNwwiusAMpMnrrzUAbCi6HLohfPPydflgLDOOv/n7BxWhE2WgDj5RH6ez51swzmAQgto1JnAs/97giY//a3p+VsyAvnyvzEI9n/+FOT4u8abMQN4L4DvBfAR59xv5u9+FMB3O+e+DslUPgfgB/fZGUM63jZ6yMus4a9zAMscJCoopCJqMTaTXOo1heex2GNxdGiUPcU4mu1oDyMOoOHyW6ii92LZ7eo+vXJdV7CAygi3wmy30EB7aqB6LldHmHZ7jsTXrm2YDthCKF22T6/cAAKykZ2MBlL6vxcoRprwhLkrC8GD793ZPOLOWarZP7yVGrCmXEF5PwE1/Lb7GB/viIORCk7Zdv26T4c6B/JaxkIOS8dRAOke9oKHWkkX6BMSOLjqNYSxo67nmebQECzknTd6X9IZcBMaKQgXqF8JLK0eDV2U8XtmBm086jaSDOMMpx7TSMWy+Thilfv+ilLniqTvr6WBskM5y4b68EXl8zO/f3XbtH/M8g/xgPDZbz6QbQDdbjrRBvFSj3D9i+wAiOhX0aCLAIDdnP/uzoxnD1EZB4zPmYelbgnpPHXVBns5AGHk5PXsjKDXEEaWFYqiLQSj27VMEnYOPUE1oH2xrFOwid6arVOX66dt+wk8Oc89aKDb1EBHkVRoYauamVRfo5xTXS8Bz6XfBUOkxrsXagXSCg67nG/6/2UcJBLnYfsBcH5iIq8dwTJU9GBa4fQLCfp5+pnEXTgwQnJaOKjXJ9TPjgprr/6hN3q0TTv2YUvZYIDHVfBPA9V1HJDdp4U2pywCp85ZISgrB11LsMxLwJyx11qzq+juZar9RQrCyknwu8jGHAQwenCh27mDLFDHTJ8xoqZ/LjnaP3gxYDnIz1WWg6Z1lGIvrgheDkiasjCj5/ZXaa5AEsTHHuE8QzvX0vrnTwLP/h/pBD/1bTnaPyKhlfLMYkhF55hOSGSgr30mffeglnGtxpdWJTBMBBC9JL9E98MYR1sABpQ5gMXQQXs5ALsNjzpZOxgqGwt68czBRkayX6BpCbkYSWmLdQpWnA3Vyi9NU3ibP9iWIwD6DCFxHF6L03picLtooL2EbxII6+QZGqOsv1PNJAqulUKwhWB6/DbC7moBkZe8AYvB2cSv8PDzc3AQpqYnbyQvyq0MFd25OITL8MEJ6wP5uUv7rFlPm043NTbcvWi7N2wOYOd66K8XXPvO9GaZ6f9azGZnkbvyPQrPmVke610Zg23poDVzbrMZJB8gsKiQK8y1cLGYJ8H7l5GPZSJ762OZ/plzAOHMy9+SLB4J7oKDm/yRcwKbGyTR/iXLPgwkkT+3jowrpYHefU/67vizwOmzeXl2NtMJ4eALDB+lY8U14TN/NBn+k0+l7+69C8ICOs8y0DezTtArX+WwZOz/wVs4aYyd40vLATgY5U9gWJUPMT9WcXFCDlbmjzaTCSYHUGsBEbkWl7dN4Q08o4Vg+SHy+tALk0gi+x4dUJNctYwz0EJB9fJuFJcX1w3Iey94b79WDM7SQKWwzdlrrAy777BlDFuoMMpISWGeAR2GtrtWryPYLiZLIQWRZwxwaMTgLqX/b0cULqh2j034Mu32fpaHuHf3EIdPJroG5wxG1xZxWfYVH3cT2z7B9T1vr40DiTa57ZXg3r8xndHrHSz7pvYc6uRujK6gDrf714BGrkGavuszLFAQaVJZ1EChEG09o7aDg0Kr/Llk5+wOojgcmQnANbo/7nw0hWD5egZSGEDYP/nZOIpw9/K5cf3AtSjQjnAWZic5ApaFnh94LfDK1b+00ophmQlcV87/+eNs0FsW0Olb07L1be0NwDDS77um8CK3sJoV++tKQeSbNHPCDxjXGZ4w7R+lmIShoBBlf2zgV8PS4J22GxhH9irxG4waJEMXUV+AjvKjqnI6DL5TdVrJBveWDT6aitLS2ZTicdvVQ61Am9XwqSEKSwNdV86m2BZe5SHy5+WiyVAeBWZcO5YtlcB1W0PARNLGJl5m2mktBhfhxPCzZj87zrSewj63L1NY9tK9a2nb0xFPPpmUtq4NiXTdg8wmCmIoOfLfLEGcBt877QHQmUHAy8zKqohOlZAc3yu7nx690w6hY8LCe/U+lZkk17jo7Kmm7fI2af0ovS64+ndaQhNkAa0aaBii0D65Exi/uxbmFdbYuCCy3s5ZlknwpBARP2OLF9oR6/3PN2YMt/M2vN5IAv0wk4fxfKwiLnIz9oPn8+/gvEA6/Lm64zHlh5GZOedPRaxfSiewfjnPCm+R4PXcAwDOS+3A5WNp2XjX48a/SsvvP5tW434AB1+ASEpfZCfxRc8BvN5DCjcsDZQjb5MUFhnZ/JyFURFL2xKyTjLNi2/gHm9mCox3O6dcZq0DUCiox8aQazDaKCJTwC0hO9W0vVkB0DbgsC+qbNtJ2tqK4ObFNtfYy0HUuQC7LDirWVSygex3un8VqLPFWew8gjFmfWG00qH2BOLs8dSh8blRg8EHUFOlezaPOL1Mkf/mc6nS5vCZU5yskuFXRdF29hLJKfRTtInk/sB873Zj913Rtj2gIj4eXy8PpZ1qHmeQ9bcfq18UpkFGPQYXOwSKVrTPykHzvRhCFGERfWed2SZ/Z2Ynng06X8IUgCp4oQjUhWBujNJ1y+dCsMUr0YSbNDF9FMMi3cE2j+ZA8RWPOGYHlFeLY6oFAIANM4pGwiZH/if/mnMFLQvo2ieBe+/RXAKQegRsrufjseY/Vw4/Ahxn7H/+vZIEfl2H9foEpYFW00MyctDyAxvjxM/GEKIkeKWtXGwbUds6AClM6USs/JAORj3U5gA4yu4VgsklGirdXBiqEg6ao1bC1lW/xbY7Xly7vIfpyzLLAjKiYLtooPX+0zb53KLOLMY6WU6d5OIebB9Zt5KCWEzFbCMGZ5q1WNyf1xeNn80ad+6mhC+/9I8cnzdFX8X5sZM16qIbI/xWO559uP/pGjgQ6WPwvQrfels77G+8Tx2AhQ/nakYL9JPJdS/ihRwCMZRrDXr6lHqaYcHEfH7T27te38pDcD5wyZx/XARR17SDC8FE53+IWDL0M9xJv5ebnJF1zjMa7to1Oqk2Zjno5cAjnGfnIUlewuHn8m+2zsuOo7SE5ObwB18AzrOoGxv78yccDl5K2zKtkwbCRXY4j30k24IjdRIPnkl/c3Uw/f5KApdN4X0Fy1gpiHrZYpQ/vZGR1kYwGtn7TmQvOQCTPJO+q5UYXDCcf2nvaDqC8bA0TptbaCqBt+QPeJRGtmTa9MXj2tmI3b6GEbyLgqNPO7fVh822NRRZhspgDH5p+u9aPnq3cG0HntHjzVstoLpy2Z4nj4lCURUMJFXQkw8nCGjzzSnsur6+6BZ9xWr2MEULAWnrznWHLVVfs8KCZjazR+K33o+tneBj9iSn9dnpqLxaZVBsz0vV33nXNoRZOrPsrhqojwrXZijXwj61FIQzs+eQjfO8CXDMzhMhSUgCnzF7NywCB7EB9pNDrOifXCTmzwMWhpaYBnotYrzLwWBaRIGwyVW5R9kRPHjWixqoOIoHWkPALKDNI4Sjz+bc3F2Xv1Mo6XaWfj7+XDrW/WednDsngY8+j53jS8sBkFK+nI+aEObl+dnwIRoaqJGDNkqewHYtINH7MRXDChWlZYsRnGvE4MjLtNQWgvFQzaCOnlD0AG+zZxLYzhgG8LbUblsZT6v7I5CO0xmSTYbWL/lodOsLNVAjgVCf8y4mkcA00WPNIn9SJbs7Ou5JQdj9qgHMOKoxcD2JDTbUD7Io3L07R8C/neCep46MPlCHLaVwEzN+guxP2VexiKTrfewzJgo7u3nxiOR35gB6Y9dMgPc/uIgNQrP+LmaQQEGL5o96aqBkGEScD5hkpl4GWwCkNih6UoJHUQmc3/HAnwR5pExvYLYtkZPAp0Gpo1zFmw326rayhjjJSyulgUpT+EPCnFtCzseZcXbb4TJH8Tyz2FwnHHJLyIN8XSvCOWv9f4LXd+IgGDLiJvbjPW0Uv+QkMNNCt40vLQeA/WigBJMDyM/JMJqevJbq2VHyrOsAhqKfr9m2kUfQGcGqU21ca6AHHxtcHgDGihkEtElg25GpcAqGiWRHyQKKxfd5y3zsuaFBpvVKI9qDlILJi4Qd2H8/UtcXe/TbZwC9SuAefj7JjCWYe5bzDcZu1tXJqa9vMvx3LjIf73TAyTNJaP044/4HYTLJb/s7VQnfOAh1lM9j5ecm+btrFIqZlgW0wzGWTsk364cqeEjrlRBpb/hqJgCU0X63AJEdb/5dL1xrdpIYXPqbDbUHaWc7Ns6L7r/uB7LM2vRJ6oWGBUtOPsstcVCRt4z30+hlBqB1ACS5Aqk74J6/K2C4n+s6DPOHKZ9CA42aSOZE7vWPuVRJDGA6YedBqumTG75Mg2H6vC1998yvTPjce3NdRV7GRv/ZDz3Ap/54ylFN1xge2h1YbHUAzrn/fOeWaTwgov9hj/Ven+FU+AmeECopCL7UZfZS9u13cPnHYWlyAEUx10PWAfTE4HgUvP2edo3pUdBLAm/jaAPqHFI/gD4sZllAxfLKKHeNbieRbOURFBaIbXEWPOriJdteslcHsEsCoVcJbKUgelpA8ntnaGkxDBlWA7Uc/XuZ6vngLH2unjjH9UON/IFSoI/HRKFJ+G6W0IihrfzSROr75gB49GSurxq2RwIP2395qZLkvWEhIJuPas5PZoUl6SEd0+QPzKMh7yC/4n7RnBu/p6Zyv+4PnKQg8jPJhWBDFBhHHitPQIZgxAGcB9H7kRWHTh1AdhLTicPxZ/I15ClrPFqanIG/dKIBxLDP/Xd4PPlP0ncvfn3ex0EUbZ+j5zln4CSS58/nv2nE9U+kv+/mBHHMuYPPfOuxJIHvv5P38SodAIA/C+CnsHsC+Z8AePMcABk9HyMFIVEHRxAO2jgmj2XxWh1oqWRVDgBAw1qI0YujsFi9MGJqFcMO99lG+7uSwDaaLTp9VZBBMp66nJd1K3vzqA1rkUfowk066+jzxsuI0R6/Jwc9Vni/rQOQaLqj/LmtErg3VA1Ur22sNIB4XxE6O2BHdDav8CA7AH6+Hjk+xzWJ/NN5rkNb9JXgozLhe7EMDXV3NLmPq+oa6tHPszwkxtMZ3tHDlBEUz6Q9t7ohTIIUNWgC0rvQq2iWbTr9uRkKWky9jvYCzu/T7KUOYFzzu6a2gKxAJM8oMnwT7gfMuXiMk7sUSPWGuA6Aj3WwCLyiiVovDkDUQO950IoNtUI3L39tOheRc3iLyjwzq+fwReAsJ3VZC2g6SV3BgJQ4BrQgbLqmhCfZ72uAgP4OEf3FXRs754537v0NGJbVU7eClGmfyQ/Mkyp11r1BkwEu9xFCNDkAsTbCVgnG6TSRLTsYaJFYyM9cT//EVlMyV/qqaXRvWyuzW1Pyeiyg2RjJnpRz3Wmqi+dDr3/VYUbVdFC7H2YD9Sp3uw4I/Ubp+0hBpPMq11NHoFARawKdzSM2Oco8yXj/yfpCDL9tCVmf50xBIn9OIFvOO1cbp4phjbz3GSKoV8Fp9fDVfi0EVjO07HXs+v27x3GqRjs7dfY1NZTXtZ9jWKTwstvilB2Aj/r+sJKo0DJR5PwAIDpV/lyCqQSuNMNsLpHx+3jpRQZ6MXaCI3mWgaZM83RDFDno6ST95uN95e2L7/YQ7f/NjfxbDyTrDZk1NDxwIvHAM4Hx1GGdq4MvckcwGgibrP558lx+/5MUVaKI3iiDYRaH2za2OgAi+i92b7rfOq/rcJAfvWjy3mkMU0tB+NDWAZAzWiQmsq5zAMEv2mkplgYWaAvBFlPhWxdm8XIethl82n+bBO5JPVh1T8ukqKszH54F1L64oXAeyqgJneW9JKBE/qzBYwrmxCh0kuTKZHLgDgJX9QZuktVuQayu0eYHbCMYALicBzHUjPcnfaCyOK+nmnq5DGL4rd7/WqAfxf3Hqnp2W+eweryWPsB2+M59bI/VPgt2+111CJbJZqUfgPTMBWvIgVINlBlUc4ATxl5aTxssBdO6NS1zQ9QCMFv8xZfBn+S0ubx0BFukEExgobUmhrk3MCd3EZzoCTGOv37Fw3Ezlxztz4ckhV1LngksxyTsI64EPvy8k0pgnpVcPA5c+1T+LtM5pxsAK4mwkNzJJ9M+7r1LWUCbR9L6LDe9bVyZBHbO/WcAfgbAfQB/A6mj1weI6Jeu2vaNGKIGOmiJt/yuvE5HCmLfOoBlUX0eZg3Zgi0e/YYwmnheD9uTwDy6lcAAx6fdRKvl9/eMd+0UisiqU2HbTuP7NNCpklMA+hz2ugDMcuSnqtNaT43UHkN7ApsuZT1Dydh2QY1lHl6rTiT3MgacZ8N/YYq0TtYl3n8Q5u558rC9gdkBbHLi8WCYJAjgz9HAgbu0g3ozr7oeY9vgGcYEZQtt6/iVlkVTAV7uu6sQ67TosEdG4LFELxr+vJ4rZsO6TT1DXqJHjLFYVktAA/qOh3HBlCN/0fv32tRF0hKzQ/RqR4AE+zDDhzX/Y4BWD/MxmOc/EpDzAaweOl1zGLKMw8SJ4VFpoGzM779TewKzo9g8YlpC5llGXJPIPNzMvX7vvdPJDEHqBbLm//qVJCBn9/t6SEF8HxH9pHPu2wE8DuA/RnIIb74DIH0QfNC2cr0cgK9oYzYHIKyhnhYQ1GiXUFH6u9cQplcIVjd/sbPqUs6gzCMEH3fLQZtt6yTc4OMVLKDaAdhrUKPT06WpX26r5c/Dzgp09hCbfMBskpc9xhHfTyuP0GO87KyONVpAXu5xhmVMTQNj9uwc12EuDD9QiubJsckLlHVphOLOM3XUMr14RmHzHPsMe8/r2cC+9QDb9sejB73p+ruP0Q02+PYbqLCnQWXVdwEUaqCSR1o8Jpcx/aF1XrWQog/aFJ5nAjR7QLoH8qzDa6Y5P4o+RCnoAvcPmJ2yfrJBHx9w0tgrVCT00Qi6zNBTngksB1FooNxC8uh5h7O35HcizyLmI8JBLjKTngLHJOd098vS+u/8hbt47jtTd5iZK4dzs5iTTwFLrhe4vJnPabV9lgbs5wD4qfl3AfwMEf1z53p++M0ZhfQrzwYqD+99lMsuzNAAACAASURBVN7B0VQQ1g9YjL7NAVi4RZZ5rMeydB9Qo9krBNPkMoOYsZn2b0sC74qodkf0HSkIM3Po4uxVROk7ipbJ2FXH6mDgQOzTQLfUAQx+C2tJYLndOHktBVGcn9B2bS4hR2eM+8ehqM4FSrjH6gL1KqZrdc/7mzXONsnJHK+5neTSNH0Z3dJJdJez03rYCmy+ll0QjDpC3eYquQkLuaVjQY4FmXnqPnq9oG2UDwBL1W9j23laNVAO3qYpqIOI7bVKHZDpCBiyA+DcH01eo3g7Jo7y87ZDFEcRc0TvN07uAcM9Szbmq9ueSwikbsAFEm6+z0bcrZzAPVNuAjOceayylPMmUzgpEKZjjeQB4Hx0kkzmqP+577yBm7+T9vPKV+VryEb+9BmHGx/P9zOzJTivsG3s4wB+wzn3SwDeCeC/dM6doJ4PvlnD6Y8eyev0jT1xXi1Gp4afHf2gMwZr9Nt+AP0cQDs9dahVQIuOYDJjSN9Z6ic7hylqgq6bBGZDaKQgeMymd3HdMF7OwYx+hGcwXjPraNo/bqWB1ufZj27rOgAeY+HsfLEuUBaC9WoueoafHU8PP6/F4Kwss5WD7t1PPa5CMZuqYvj+Zq2aTkFhn5Ux/Nv2y+Oqwi17D3fJLvS3zc9r5zfaVVOwGKeMzqygYKFR6xTkPbHOo3MPpFAvR/vzrA1eZPZQQKr500hBCCzMM4HzAcI15UDRkzR+p5xlJgMVMV2TJi0EYwkQhm7mI4fV7ZzTMvLRLPHgs7Kom9QBsKE+f5IkgcvaQfOJQjox5wLWt12R/AUS0+fuu9JxpfvXkwoZ3Xsnw01p2YO3vnYI6PsBfB2AjxPRmXPuUSQYaK/hnHsbgJ8F8BSSWfxghpRuAfh7AN6B1BHsTxHR7Z07I1RSEJXh50gztjkAUL8OwFIy07ZtDsBWHRaFYJVRtpTSVWhfdjLReL0Pq95ZT5ltzQHDPT0piFKiOTbLePC2cwzCaikZPD1opY7U7TocuXVgoV4dQCGaVjqRBCOVkf8ux2ZHYfzyJpPp+8ufVotIdJQMTs8zNVskprMYjWiZ8XOaYZ/T8zUO11ld1MBIdR+I0JGN3jUi+S72r7/tdkfYG0vHyRZMs45/WqrfqTi+a/fRcwCL328mIjBriEL7tLNxHvrO5lMzz1/IyWOavToApmEH0qDlLM8UAgld1Bn8Xtg/+VhsiOdrESEb+THLQk/XF80zcOewM4dpYCeS3/GDiNO3petgR3A6OhGj4wYyx59xomPEfX8RCNP1fJ9ywdiYahSxeUQLv07fnpaxJtC2caUDIKLonHsHgO9xyVr+KhH9z1dtZ8YM4EeI6J/l2cNvOOf+IYD/CMAvE9GPO+c+AOADAP7cVTtjtT8r91ChOPCBBAKOprBrWGUWxmCSu7F+wCC6PyL7YPbBL7MFwZg2WOYAyllBV7unA+cMUGPfqwTuJYG9OUYjBbHF8Df7MA6oticB+sKIxg2pzPPaKHrWhqfHW2ca5hy1z8AAjZJ70si9JDyPXmJ4w/pDFArIB1AnMriI1cCJ2Q5by7B85gqC2cQgBWMv3Eui7XHxuH5QJpBXfi7YP9vOVxPesYmyF2j+RuSgY2ggxW3DSnUAPHtrnXzN6hIlTusAO/khddRtk6LgozSC4cQ4v1/bBp/HapzVecxlYAMHKfZcDL9/4PweQzvjgrhhp51nCiGCjvJX9zLz594AupbPiymiqwiX2YTM/iHusXsQcZn596uX1REwI4gLsNzkcPhCOr+LxznCjwIl3X8nR/MOlzc1kgeA07eT0EA5gXz2tJO8ASd8j3NndRedsIq4EphnBNvGPiyg/w7AewD8XP7qB51z30pEf/qqbQEgN35/Pv993zn3UQDPAPhOAN+SV/vbAP4RrnIA5losDbSBgEghICsH3WDrtvzcYJfi7XnGGDSysIa/1jOxOQBZx8w6mmgfHTXQThR9VRLYzhjqiN86hzYJbO5JYSTYoPfgHOMos0ErpaS3GxYZHJ2bc1oNaiT7eYEWvuhJQdgeBunTC/RTX/86zFukDUpjP5PXdo75u4tlkIKxs/tJvOX6I2cS+TPsM/gFPdmFXaOGyooZwBUcfe2HoEwu3rZ2BMV2nSruvjCdLO0ev37+ynchG2C3Ww6ax2A69rEERC0BDSgqEJ1HZFtgE7R8quaQztA/ASDcG0CZ4YNDPWeuDvacM2BRuDEKLDRl7v3qjpdWkAz3xMMIyoljNuaXjzlJKvN6iUGUdr3Jlb1xRbh8NJ/vy2nbo89rcRfPRpgFdOt3SCClzfVy/9vGPhDQNwP4aqJk5pxzfxvAR/bYrhl5JvFvAfgwgCezcwARPe+ce2LLNu8H8H4ACI8+IjTQYCqBywleeljEKJs8QTNldIaPnMe2fgAtBm1yBVUeoZcDCGYfNkHM+xg6kNG+SeDSKfQj8F2FOXw9/F3NAorGAPb6APSOV5yz4PKlcZ5jKBKjvM99hNG8KQ6zUhByPWYGUDuloSMGZ89f+iWYJC/P8vi7B9MKdx5w7760/snBZcEcStdlW2yWxrk3LA1Xov7ODGCBF2mL13vUnduK8zPSIbtE4+xMQFo8Ltr/mu9AUbiYfwqrN8Vw0MxRuVED5QCQm9nHTYAIf5pZvsvHJ1NFLMHjqNi+UDx5wjBEYQm5bJy5RiCaRjNcTDZdc+IABPcfSBg51z7NuL/HlIvC+BYvh4QhG3mWnJ5OtJ0k5wIOP+8E+2dBOZ4x3Pkyh8f+Rbrul78mz9SPX7sD+F0Abwfwyfz/twH4F3tsVwzn3DUAPw/gh4no3r5EIiL6IIAPAsD6nW8l2xS+poHaymCVe4As42BbCqyMXATTQG1EHsw+2ghoew4gkoPnl963L70tlw8V5RNAox1jdWcsq6fJFfR4/TaB2+WwM/SUh4uNAV7QavSPnfVs56quc+DqbIOjS+LPdk4TI8OfXjjsthCsWwlcRe8WOhIuP5UGtrwGrXCWIrFZBd2Y8nn/Yo2LlxKOcPTkafocNw2DaDC6P92kci+i75yXXpf5PZvfibYuS9samKkaPbkRGwjEqvvYVTORHuXTyzvmpMK3rqEBIO9O+lsDKKD8Pa0tAIBlGqQpPMOrzlEbIdp7yMyfw0VVQ7nYyztJHLMhHrm5i4e0k7SyEp6VBxZ1BMwqevBM2vbGxxxOs9OauXJ4IEwnaZvD3Mc3DtphTBzB405w/TE9dtIgZj4iMfzXPp1hpLe9RggIwKMAPuqc+yf5/38QwP/rnPsHAEBEf+KqHTjnRiTj/3eJ6Bfy1y84557O0f/TAF7c41wE2yOCYfpU0z7olFFyAI4wGg4/D80B6L6aCtvowPPIGsYB9KHUEnadWfA+iFqdFO9aeQhbCdyj2fUiels30Ks72LYP2xGM2RVlW8PW6ARjFMRQF7OCvJ4xznUnLjvbkGKyji593ckprdcxbKYSWLT/i8I6zVEAmoPwbmkoqna2c2FkHS4y0+d8yj0C7hwB67S/G0Yiuun0BZJruyryT+cUuxBQbXC7DKAtRvn1qh62+5qxH6Q1uCi5LLarC7mGmUlkZsYM95mAptcMXsTlOIqfCZQLwJZcPxBGDRTlkIsDec4HZJsxaB2Af5BnKrM2hJF6gPz/8Z7HxBITK8aZSaJxbiFJg+6Djfm9d3vc+Fhafv8d+X4ea0P5zYmBe54uo/y4Jpw/kWecOSRfEhKJ+Uix//vPpnVYHG7b2McB/Fd7rLN15JqBnwbwUSL6K2bRPwDwHwL48fz5v1y9MzXsjrxKQNRdpRZfJH+BlBzyVcRe9gQu4SRADXrq8MUvcQubzNWxRkMb7RaCmSRwY9CdykF3DX+BwZfRdlqnTJb1lEetYR8kb7E9Ot0mHVHr/YymKXyvlqHVGIpNnmEh34jGoZNcvqqYqs+WyS9vnk1YNU2r48+yEEzvfLBZ48FlAmbPH6TP8LkDrL/iLgAUQnG9Tl9X0j53/B8oZzY9JU+9BmqWJYXW1sn1ZoMKUanzsv9P2/JvqLmi3eqhOgOQKH4J6LQRbvJhMJMOkYBwCuPwkJnAuGDJUTxMjwBdMX9ODpQZSY5JHYGkojdm5o+bnchGc60BF3WtXgkqB33CJ0mC7XNj93DuMPM5MIPoiHDvXWn5gUT7yvln7n64cDjMyqDnT6kj4FoDbvrClM/779C2klw38JppoET0j69a54rxXgDfC+AjzrnfzN/9KJLh/x+dc98P4FMA/uSVeyKIG/chKsyTFzPEYI2/TRRzlJ/TGUUOQIpeomkSk/eR+v/WcE/7wFpISRPJbCRLY5y+a5PA4zA1nP+eyJbF6pWh4ZpZQ6+auNhHxQICSvZLWq9lphQvvcHie/TDOjHb7SlgqoXZ2K19SqjaOoCeBpCVghDZgx1aNzwDCCBN7ppPjvxPc5L37tkBLk/T38PnkwOgt5/jkaMEDFvGz1g55W3GvzaahT4U604x48cIulmn2zCj4HZCP/y7BkMX3iX8ZrvK9XIlvURwb2YyVA4gmMCLh3MKB03MvHFtz24t8HPF+wmkWh/m4RNDQbNXZWALBWUKp5QIDIvkCmLW7HFL0BVE9iEb6RsOB7mxO9cSLEdR4CCO5ld3nC7n5HLQJjGbnFwezoBcQyiO4OIJVRrlrl9nTznVGcpMpoucKD58IamKAspCei39AH6RiL5j18b7rENEv4rtpS1/bOfZ9Y7J9C7fsnWEIeBbhDIuXiKFXg5AmkoYgzzkRJJdb6kMe70cKJPAjHUOzkxFTRKY/74qCVz3/62X8/99B6LS5dtZQNv2adcFSjG40USZfO69OgDdR/7tpFiova+L8wWDRfbbyTfo3645Fo9es3l7zLqD18UyCq//3nli91y+cITxbk6qPZOi/VvXzxqJaFvZ3Iuee6Nbzdz5TuQ0jNbSKHBTvn4ik6Tl89DZ62LgsV2Jdp1dqTNt779r6gW2Pzv5veNnyFFTG9KrG5jmAAqtA+fBWwj3P0RttcgJ38VpIpDfv0DwOeFLnEA+oJI5lNcTGehsKa3sw6U0g882wXvB+3nGsKwd1jm5e/E4HytqYVeO9le3XSEBASTc/yJTY5hBdPJJxfUXZhDlHEC4VBloholeCwvoDzHOv2U4AF+1c++v9zC/ZYyuaQghPyC1swHn98sBpOVlxNKLdtKsoDbo2QE5Z9pPRlm/LgSzSWAL53QrgatItpCDRmuA90kadwustkhG1CygVLHartdzShL5y/RNG8LUeQRrsHp9a+3oicDxuuIgXAQqw29zIHUHr7N5NPTO3BdgdljenqL96ycJ77++vigif6CsbLbOrWnUTh3n1ZlR9WYAPNJ3fP0M2fRnAL2xr+Qzf3YDhc4udjGD7HsVq9/EGYXQOfvseQmNWq8MMrNs/qkdSQGYdA7bBE36sp0YCTTla8usnsVDmsSoWqRpCMP6QPw+jxExR+Bc5zCcOcy5cCtKC0kSgTiO5i8e92KYBVo6cljdzZeWC8eWA5KcA3f9covD4Qvp77OnSkdw/oSTHgG8zsXjrx4C+s6dW6ax2WOd13XwD+vh4YeyUpcfkRi90EV5hNDPAcSqiix4KxmheDonnzk6dc5ErexsWAZgWLoMIX7ZyRjipkdA9AX7h9erK4GL2gCe2XRmByULqDVOu8Tg2GBbFpAtIuv1EuDRi/x5WmQ7TzH0ZqUwdvUC7hlPHgFR6gV8dSx7rVYMjovDLO5/nufiMmN8+gyHB+lRv5Y1fg7HSZrCr80MYN/evrXht865x/hhh8bd50YftWDOzADq4R11IvWHTwo3QQHtdvZ1pzm7rSVaWFhQWHdzfu5mL5h/930SSqjmLuQZH8xMoH6MHAEcqWfWjj/3UuQmlcCe5AkTfj93JBpJMH2GdtwcjFx0vidjxOWtdA2HL6gjuHyMl+f7sCbpJ2x7AEjyl9U9HwV8zguww5ACshXhPBv89Z207FUngV8H7P/1H+ZBto0eZLGN+p2uB5R1ADMnkh0ZmYd8o43GjxhCXxp+HvXswRsqI4+eIbZ4Zi3zbCuB/Y71rPRzr18AH67k/7e5hZYt1KF3Utv8ZuwYO1uwZUeoXnZ7T+qcxTaZhH0kIHozgQk20ZsZF0YTqE74MtsHAI6vJYhnNc44yIVqR2NyAEeD0QzaIe1sj+uFcRAbIy8Ok2Kznb3/ddS/bfScsqXGXiXHUOwLVLC/0qfvO4Aqf9T72WzgY5+WUEGzlsxR7yY1hMrXw8HeUMJBABBDBPFzwbc/EEjon9kB3Q/w5zkwYXqnUz6/P+PAgllGBioyLB9uKuMXNtwQ/aDzJ9Oygxe10QtH9jQS5txei+sADl90OM8QEJlexBe5AvnapyHfAcDmunEUIjL36mcAvyeH6P+4NgegEQEV+j1AdgpVo/bg9UEs6gD4QRHZaN2X8JZJE1ne7E/X49mBRjA9GKd2Ns5TX9ytg5k2SeUOC6hPIbXReRnFpxlAye6waqA1oybdC77vXgxY4cTEqOn+gCRnUDdH99ivEKw+h3T8KL9dNIZfNIAqSQjbsP0iyxQQORyMue9vfl7WYZYZioV91lXRV7re9r7XYzFwXNM60zhQO2MRCE6kM/Yftq8DH79OIHeF9dhxmxyAUDrttnamIvCaPi/1vbBJ5UJbiwOafK8nH5TOXcGXAPS3zvCMc6TMIQkACYv8PE42lC5iXHV75MTIOxaIG0llIVjb55RzB1oAxrUCNGqjF4aWyEdtE8mNXp7wAgeN99Pn5oYeg6t/Dz/vcJSbyVhMn2cFTBF95GPp/3ff7YQGyu0lWVdo2/jScgA2UbT4otkLYKAgUmcgPYSD0djpNHsXuIdgik+M8azgm3q5HQt5uGz0RgPnCLREekybuAa2d//qqXvuxQIyshNW2oDPScTQjP6OGGiTjNzVLF7w+wI+smydsg7ANhwZOkJp7XHUKYcq6i7uCaipjY3G2DF8YmEfloPm32E1qDwEG/3BOG+ReOgkRsvj6j2pv5NrMt/FzgygYEZ1DPQ+gnLb8ic9iGbXqB2bB+2cldlnt2a11bCnHqN8P4ewYMq/VS39DDPZZLh32QBYVQKOjqCeIu/DOYF5pBDsYEHkwN/0/+XjsdFdcu5gdcdjk3v3MpwET6ZgLB/rwknfAIaM4lphoXWWhQ4XTpK/zCA6ezppBAFK9Tx7ixOGD6937x1pnWf+0QU++y2JuCCO4AoLv48W0HcA+BARXf20vdGDnOYABpO1r5KxcXHyUGi1IBkHYQxrlQPwnppcwbZCsLqZS68hTC8JrJ3DtLF1j69fQF6dojALG8l6WwykxWfturukn4tjV1/bRh/KTLG9btU5CX5dVemmOoBSJsGeg5f99iUPehLRug9NoLLBv6watm8WTa7y7zQ66uZgtD2navzUjJ/62tI5OeHhb4vui2HWqWEfu92uZGs6p/1e124SujPq/FEvt2CHbQjDp+Kr93TbsLLQ8m4ZGQcAhcQDv5s0e+nzQoO5fv6OSRqAFoKxDRkiYsbgkaEgLM7MAPLvmWEaNwes7qTjsiOgUR3GYh1BrjlYZMagDoWLvsZTiI4PmaIvhnsYyrn+cRKDzw5gupbW+dwfPsCt307HuP0Vvli2bewzA/gPAPykc+7nkRrCfHSPbd6wwT9YMBE9P4ciGLU4XW/QB9b2Apb9dbDIaJK/QNLzUUkHnWXI7KGqSA4uoq4YJnIFfs/r18mtIrnbY+tUuYC0I8ixtklB2GpS60xqrNjmFnjYOgAbvYuB5k5XW2igHHnPlbErWTO7I9E68rdSENs0gPizVgOdjawBH1epnJ0cjLmv7BTsuV81etF9XRvR3U5gIleccz08thvvIqci8JjrGvwejbbdnzoC32sy32MLsYHu5C12aVQFr1pAU3WfHGAUP/NzcDFIU3i+087AvHL0ySsxSHoOk8wKOFLH7OA4QOTEcGYKzdcBd4dVQPMzdz02M4Z44XCQk78XT3hZxiJzLAEdNw6rexkOyg4lrqjB9EFOqZ7MAmJnch34wlenY/CM4YK32zL2KQT7HufcdQDfDeBnsiT0zwD4OSK6f9X2r+twmtQFDMxTPxyma5jND/DzGswDxoMTw4UWEP/2oZ3uL9QyiGy7SEk4d16q2ugDatCdeUkeNgnco3XaiLEHDwn7pyqgsuuVyT3jABi/Z+dYyDmYWVan/oA/r+LJ835rdcl+4xlb7KZ5hnmLGqh3hJVTmCftt3ViaXmrfNobreKmXqMWrrXnKddAen9s/4IeZKNNdPaL9iUX0IXKDI5vzrPeloetzSiYZqhm5dEQCDrwpryfnZmnDZBE8K3jMDjIi0MUKQh52c1MQEgjl15rLdgRhKh1AqwwMAepA2DDLonfdRT+/epufncuHZasDyh9A65HuGxTjj+T1j972glziB3BfKTsn9UddQTCEuLewTch7SZXmelzwaJwK5IK4Pt5lnD0fHNbi7FXDiCLt/08gEMAPwzguwD8Wefcf0tEf3WffbxeQ+idpik8QzYCscxOJGLJcQ5gMQZa15fkr2gGaRLK6pZLDsA0Nq8ZRDwWAxnJvjoQz7SEphDM4s3WAG+kUlWTa6sKP+d1i/tVJW/tmMkXzBRer5ZiiHBGUjmfr1+0EKxj+Es1znbmwZ+LcRT1UJpj3Gn4OZrd0ICJMr5v+v/WsJbNO+zuiaszMXVAJRSSrrVzDfwneUzVKZcNXmpYjgxNVmGUSei3aWeHsIlzNtjNJeSk+nYHYX+vHquntz8gPc+zCSTs+QPqUKdoem4soViHrw3IKrwMvRtHIW1c+Z0tROMUXgUAHAATm7RsJ2jxChUZnX9pBJNnDHS0yHIJIAcSTR9+F1guwgUSMbgNX/MDIwfNkf1BxGXuAzAfp30cvuDkbyvbzNTQMff1feLXCV/IbR+XXNEbx9RRDADW2VHc+Ndpu/tvd7IeO4LTZ7Fz7JMD+PcAfB+AdwP4OwC+gYhedM4dAfgogDfPAZA6dtt9qoaAbA3AMJYFWUCJ2QscY4TkbDN4IEdleVuFeSymzzhq3lcwnaacPqR1DmCJvlsIxkM4/2hhoTqxls7TwVfv7GCKrloYwQNQzRqgjPTYSM2dQqRxC12zYbXYozXsojYvkfZd5gW8EVSzw4rA8f56OQy+ptHcCwDoqWLa/dnfYhfc04/m874T4Fysb/sgNMl9UqfEkNlkfjel1PrmWq9g/O2VNAbQUH57x7L7EzFA18I43hHmen9oZ+1EKuEOtEFLLR4cycEZKBVI6AD3BFZnqBvKDGCMoNx2kR1BPAti0OVYnmR7pndySEjrqOkaw+Xn9fjHiA4qD5Gj/vMnPA5ytD/koq/5mkb7DAG98gc83v3Tiev5ife9La9HUte4yRpEXOx+818S7nxZ3l/WBKpTTPXYZwbwJwH8BBH9iv0yt4f8vj22f/2GhYCcmUbWVb9Otbptgtj2AeBP/g2FUgoUHcAAwHtt4i1dwsiJ4Z+5EpCrfzvYvs0B9JrEFM3ouy/b9gi1iFQ77J+0TqsoObilaVdou0XVRWKAjZ5bDHwbhiwdpkwBVvreYQ3NHwBlV7Ge/k9xvKoSOEWxLczjxRln4+D78Iu95n1Gbfh7cg5AbGoyIvluQhxAfq7rqmvDAsurHYfLVrZ7i4+yxVv1sL9ZrJz3PnpB2441mN9O+23vzjHwbDxkT0CdIIcHRYfIs3tzbOX/8wzAaeElzxgGkoSvvDsXHjF3eRd1T6/ibkOmdUr7xxMnlcP8yMRB8wjsCMhFUKaaSnHYAUnx1upe/m5UITemg07XgY9/XzL8j/5WTu5+uceUDb/QRrkQbHS49dG0HvcNfs1JYCJ6345lv3zV9q/vII0S6j6QUOdA5ORX0dqAPvbP8rLWmUgC2RhnnRXwdl4Mv6/22zPmkWwDGY2OGipnLylmWDiWZ13PAixUUY80A8iwlO0z0LCFdveftfUCSj9t2Tq2mlhaC1bVxCHMZr+aF+jVGjTXs0fCMh2/Tepq3sFCV9udQd/5WsOpjpK/l3aNptqZx0R+y2ysPCfJXaCtsE3ntV9EzyOYPErNPuo5vqsa0PfuS32vBx8xVTfAst9szoAN9cRNn4Lr5svSPjTg4/oeJ/9ognhZSByfUq5JVATiQb6+CNHwh9HyZ8iHZzGc8F3d8dKbl6Wi4bVgy5/r+pPR/AdSPoFnA3O+1vFUmUmSQB61/+/LX1MmdwHIMpk5XAde+UrON+Rbc9a9fTL2gYC+EQnm+UoAKyQ/9oCIru/c8A0ZTjBA16kEhswEnPL/OUpwUXIA5ayA8Uk1ziKoZvrq2gIwIDkWedirCuA0neUXVkfvhZHZgLmWOooCSsMv66F+2doEpW1lWO+3ez7owzL7VBEDLf1whmLwkzkXAFjDUP5MHUIPs64N/mJmNKXsRPlbWKaTTYLytbbHaRO03gjK2eboNU3T3jeL2fPxbaOZpjcEn5tJ7tcOE4A0S7HFeQ87HtZx2ET+VY1g9BjqAPh5EwNnk8scNJGydWSmsLSqoTyInGkTmY9pyB+M+zvvtBMY8/ydBlRc7EkHTltCSjLCdv3iXhJpjPc9htzqcc7PK406Y2Ae/sHLTtpJclEWjXp8hmr8xgmmzw3g40pppXOO5E/f7iSxy/eTBeVoMNh/bgp/eEWXlX0goL+GRAX9nwB8PYD3IfUI/qIMjvJ90EexFn6Ls/YL5imhvyoHIMa8bRNZ6M9YHrJASXlZPiNHEHyyiJir49tISK7PtZXAc/Ri+G1lcc9R8Kgpp3Z/XamFHdBHMMla/hzM6qXyZDmjSefPgmtl1Dm4BWs3Fef0sMaJjwvkZCnKZKkdvb66dXFcL1diIRjOsdhov8fM0smLzgAsk6s+hjhvZ/We2t9wptbZFefa5AUiAlX3ltRB6syiBYu3MZXq5b1hZ3Gi5c8OtThfPU8O0OT9NDh/b5Aw9/jcl0YBIOVg+GDK/JFWsRwMhghk7KHnggAAIABJREFUHj64M1h0mhjm6P1QHQF3B+NE8eIB2x0MAC4e06rfwxezgb+lUT6vPx8rC+iIewA87iSZzAyl5VCrgk8+lY191vyfrhEyB0LgpPMndzvsfVlA/8o5F4hoQaKC/to+273uw1ER9QtGXTWA9yEWvYCBZGwZ7rFa/ZJINvfJqnqmHaJTB6A5AKWD8tR1aZK7QFkBnPYBrIYyB9CN+kkdgLORVa+GoAPfANvhIaUX6np2adpX6BqBXsJPrtWIlzHezUZvFVr1zJ4AXNmofr/B+5k6y+qcho3EZ8NyartvqVCYNdy9bZuCKbTP6xxDWceRdpa30/W7juV1GPtKbeip6f3osbYa/Z/q7/r56PWVtpz/eeFPJR/wevKmeQ2oiCuBSWEW2xJSrpYpnWQEr61WmOH/A8iNY7ItyMvsjGBmclGeOfgJ2oDGOALm/6+zbPTqrsMlc/1NVS8XfXF18M3fJdx7Z35msvIoeTXup8+kZc/+bymR8Olvvy6JYdEnWu/+rfdxAGfOuRWA33TO/TcAngdwvMd2AADn3N8E8B0AXiSir87f/QUAPwAg98PBjxLRh/bZn5SEd8TVJIgxD5gkiL0xcuIUbJMY3q+uJ4wfr1i5Vv8607girT9mnZgxLDt1f/gFsMnirgSEebF2GVt92Xwnks5XY54DjSz1mNYQ1zmAyRgsOzth2MbSNWuRs4mCSC3XPQ0Gk1y/KvLvVf2KceWqWyMZYaPnuhDNwmJ1FF9AbHyPnbnHPNvrzAAAFJF/Wk8X2WPUho3rRazDsMqvsp5rW16+mlEHAymns339XlVyPa5KoCv01g7bdGkwubyaLSR0UAB+5HeRIR4vNRHOTmiE6ZGPdalXL9fsAFTG2136VDMAgGS/6gikgxjDzZdOKnblNgXtCXx5k/MHDuODtB73raFRNX64wcuycrj5u+m7u+/iKB9NL4Hn/kRC448/CwwPkPeRf6/XwQF8L5Jp/SEAfwapKfy/v8d2PP4WEoz0s9X3P0FEf+kh9oOkAZ7+9N7gePm7hTHBCFEA9IblUjdumY0cNM8iwhCNFolG/XXzak4Ap/VKQTXnWp2Uxbz0gnuHRR2LJFTbl2hb9FdvM7ilC8EAVfLQ5A52KVlKhGvEy/gFHM2xeudki5jY4LLhtwJw+2rR1MM6GzvYMFotfZGCWFQDiK+vzq3Y+8ZO2VazWjhnJ8zWuS4+xhxNVTbpjI5Hc05wsl6seb6ASE1cBZ71cisale/etoajrLZUud5+jqlX7S4TbuH+k7zTPHid4KPo5lNWe4tz0DoBp5G9dPrK67vJw2W5B8pJYKkChhpvB2XzCMxsBeA4ys+VyG7y2tSFJ68rUg2gvO3mEY9V5vqPp/l9OdFkLkmjF+D2V6Tl3Aie103HTZ9S/PWs9gO4+S9Lx7Ft7MMC+mT+8xzAf33V+p3tf8U5946H3a47HLpqoGy8l41pJZf5wKEy5oDh7S9ethVN/dDiiIth8AjcRJb1U0blSfsf8jeP/bjkDz/d7+kE1fudoyaBxYj7paB1pvXV2EvSNgZZb22qf3uNTnqSyzzqY3kT9VkHtEv2Qa6rwwKyUbmVfzhfEg/vLH9ulhbu6RlxC8HVBt3mZXb1aa73w9vWx7IQUK/qu98mlI//kM+LKayzbCC+x74KQuq6gHr0CAqybMtMZRdJwlb/xi3vgnOmoJM1dEgLQO0tkaid2zoSRPrZRviurvYdSTrZD/cZvs3XtSadMfAkewCGLALHjKL5WOEYQTRHwnyU4aBMA6XgRA6aE8k0kBj7BxnuOXzRJH+v8XmmdZZDbRjPvQXe/qEk1vC73bu4wwE45z6CLnM4nzDR12xbtuf4Iefc+wD8OoAfIaLbW87j/QDeDwDDYzcKBg/rgNfNX1ygwlEA6SGto3jARBvCEEJ3PT0ffkjRJHAlQUyumA0A6Rmpk8DOGCBuBD+4NpEa4ZqXy+YAxLAagTo2DhuDT9ciZ4NTTX/L+WaoxCZta8PWLcyiPoPoYYY1nLb6t2bSeERxNrYOoNb9OV9WOJuT4edWj5ulTXjaMVQsMHtdvbyMVkdHhXIMfaU2/D1nY2GK+lhXJYG9xej3pMfysMngOhFsabMy89lSwdw7v23D3s/e2hLQ+ChaPG0/77IADAD80J+VyMyCJSPM+XMDFzd7iFQFQ8SrqHAVQ6CnDPsptCOw4CpKhS/j/X7jlaUz6jMRpWevGvaLW/nZyoyfOKqT0f6/Dtc+nb7j1pDiCAaoZESWqfj0t2cP8k+b25Kup/81gITbv1HjpwD8GJKD+TEAfxmp2rgZRPRBAB8EgIN3P0PRROCM9Qsbh42+J8WCq+QpYNiLnsQqS0QSnfDahUFktuXnnqjl9Q/52bP8fh7FLIIfflJ9nl16PpsliJEbjRzxPtFmAWm40mH0RsLMa0OgVb/7JhB7HPJd9FLb/lEb1ZeJd/u3jUqt7ETrAEacsgPIrR4tk6oe9jmpo/P0p/lNKqdsnax14sLg2vGb1Pux6wPqUCwzZxceXzvHfUabkN8OZ20bvd+4V8MgDeCFGaQQUG/wGfR+OznvEGUGIDUCsbILSI5AsH+eARn5mMKerDm/lAc3fLnQBLEY9kH5/RePKt7PzmBzI5/S2tI7Ke/W4+jz+VRyfuDyljOtI/OyYxLDz8qfd9+Zg71H1AFInuDaq4SADPQD59yzAL6MiP5P59zhru32GUT0gtn3Xwfwi3ttB1vFC0n4MN7PCV8sOk2CRBPGiOenb16CYHta/q0QiVX0VP4/5wC8mQ2UU1ebNGZDPC2hZfKERVshdtgiHKnahOdgksYNN9+oRvZnDG0LxzqZ2JN9sFz6hx0WK/cVqTsgNuwfq/uz65gJFCody0RBNIAY9jmd17h9nsKne+fJAdgcT13hbRv3iDM1cSrf1ym2DiD4WEA5QC4YbNhfhv7Lu+g4mWmx8Ew7K3wtQymhO1RGC2HA/C6YZDgb0X2q1JvlQqbI98QR3A5HI1Aqz87h2+M6qDwD1+FFB2Kb4fVdl9mA7NcLbCPMn0CC89eOIJwZ3Z8e3p8dwcZ70fZhnv/mBkTKmf3zfBzx4C3pPwcvp++ufQY4yzROZv7EEZiyftDLX5tnGxn3f+RjhPuZ/z+zKF3Y/d7uUwj2A0gQzC0kPaC3AvjvAfyxq7bdsc+niYh16r4LwG/ttR1KWqcwdyT5m3+4kdo6AIOtSiQ+ewnpwypj24OKxlnmD5epz0aXfDWmbVZVA3jATPvFiOuLwOuPvk2kRlLht0KZdIdmUBEV1toyHdZQb+wL3Vj8vq7iRcHCyQ+76bq1qvIIaz83TKKUGC4dWyjgHo2ONyz8lkHQyzjiPCd4H2QHcOfyALcfpLdhc5aWrY4SW4toEVkIm8dReqfX76q8yGYeJIotItf8k01GqXaqngEi17CayOykfk4BYPYl4+gqXP6q0aMJL+KTSgaZlQMvtymdgn0mbACyS/+f7+EcPeq6mmI7NvxcsBlVUrkoCK2f88WBpTWcoXzqRXCETQoHcQN4F9UBGFgISLmAkOUhnCiGumI2AADRRUz8UGS553DuxO/a5vDLUdo3c/fXt1X6mZu7z8dKVxWoKEtNzNccnvpwerZf+poshnjjVc4AzPjTAL4BwIcBgIg+5px7Yo/tAADOuZ8D8C0AHnPOfQbAnwfwLc65r0P6WZ8D8IP77cxANabpi60OBpIAXM+wSrKYcwbkEAZW/ixxX8Dy9l1h+IHSUfRyAUsH7x3qmUUH7unh6FaiuDT85gV9jcMWMLW1BD26aGyStQs0Oct5hLN5lJnMaq2GHwBGP2N0dUtIxft5VtDVq4ErNP+BpAAqCV+GfS7XuHwpzQBIONzpmFa11TGV1PSE5sMupMaYjflmCWK8CudhjHy6hwoBzYVWlau+Q7MPmzNo+0ZoviMKVNOOCKfOc0d+IJIzBXWlxImdAXJStpfHGHzU2Z5ZT7B6uV8RgYMwxs+NtIudKPJ9EaM96/vPv6eXvICBefn40cPlwi5hDQ2xeWdtawN2BEReGsGotlheaTDtH8/ZKXksTK029QjMEuL8wHjfYcgwzySzB5heAum7y1sQ5hKzey6gyWIayvU3Hnj+m5LhP/lkPrfltTuASyLacFGUc27AjuRwPYjouztf//S+25c7U+NN5oFhXQ+RcbWOwmD8WsWbV+s1lic0U/s0ZU9/h47Rp+qlv/IydmLipl9q/s7SFWU9tFLGkbYzMmxJ/iDRtsJIkxEg2yxl56yjYYOVr433IkbbYttMtby7SVH3y+fHeOwwkZMfGc8BANdCarZ+5Dc48Ll2IjuC4Khr+HvG/jLDPWdLegPOl1Ei/3sZ7z/brIBcvRlGrbYFknGom5R4R5jyataJ8/28nNL1TXOQ+z4OmlOp5QyiqRex1McY2xkqryPUZIN3s6Pg3sWJLVYmgSNM0PIqZggPk0Auu8TxNXh5xuaOfr9s60igT779qY1rm69T6fa8Xr7X8xQ0ADQzAXE2zKQhbQrvLhlvcWLYLfefef1grapTD8qicpLwZaqmh+HY5/fqnsd4Pz+n3JLRNn+RBK3SP0+eU7xftuEG8CNp3mCVHcHLWinMPYEZTopGCuLue3KgekXHln0cwD92zv0ogEPn3LcB+E8B/K97bPeGDMvM4Nsv0I/14hULB9Dn1UZpjAtKpaGzD53irfqg8vr6YNuCMdm/QBX6MnNNQlHN28XxFWfm9W2UlT612MzCPrwtG2/L/OEEMuv4D35psFoL2fBY+aVp3p7qALKhNiwcTr7em5IBnhePa2My+IchtRJXo9+vA6gN0UIOtfLnREPjFC7j0EoshAWro03xXdEhqsO4UaiGj+/FiPPnMoUkH4D+syYNgQzVWGpNqnoUAAXdsUc59r7sXVzIWTxsZa+Bcx4mSXzV6M1U7YzGzgSivDP5k6jbMUzzZeU7SeSwMFQjhsAJBMTcfz9orkLE4GZT4cu30RFcfuxZ9ydSQMiibk6ev7z/MYrz4Ah8uhGNWFyO8K85yQfIo2lE3rgN5MFLwHCqzgDIhp19Vs4BnD3pMJ6m757+f9Jz/fLXZHbbDeM82Nk88tpnAB8A8P0APoIE1XwIwN/YY7vXfzh9KePspASccTpvsPim6GtxhVYQkGYMkrjN64+GISMSBovHzFW/pkGFYPlVIjdCYQQ2GOl4KI5h2w/ayJ0jcIYbVsMs+LltSl6PTQxivNkRcKvDlZ8lireQERsDNtxn80r2cX2lhrt2AMU+sjG6jINE4Hcv0gzg2voSJ0PaT70PCyP1hlSfmoSvzFSgToHhJlvDIEV3njCw8iMnHPP+yRgM2zkOApnod9bwp08VKpNeEkvrAJbFY87bSKDiSAKPuapDSbMD3ZavZTXqc8nf1YqeHv2KaZsj2jZsQ5h9lFZ7s9LiXK7IOfnKaQYXsTietbczAavVBSTqp3QENKJwYs8ZUgvtc0rQhK9caiB1HiOvv4DySxuy3o9nCMpbvJ/poA4TR+xj2vFwbkgE7AgGnRWwIzobnBSHHWZ9hMubDnNu8MIaP/GAsMl/P//e9K4dZkrN6j5wlttEvm5JYCKKzrm/D+DvE9FLV63/hg7SF5CmIB64V/TFD4zt+DVf5hcm//bDsMj0vSfhzC/gPCtbaJ1fxPWwFCwhu928BFxmg8HHP1jNOBhT5Lva0SXschmwqSQm1mHWbToUzo1UuA4Cwayz4T/K8hTrMCutzzgddnJcHXs2j7L8KEfsh2Eq5B7knI1UBJAgmDuX6ck7z1DJ207u4Pp4kfeXHIHCPVrgVTCTKkNkE76TfGqFL0s9XMZBE+gGlhLIz9SQ8FCoUOGEWPmkefFGcJBBW9cAoZbdU8CC4nHyfVt8AUOm9UiuvUul5N4TxojXlNyeK+1JP6fj7GHkd1A6y+9272sXNGpn3jUNtLddkZdg7SAOrUnzgczpd844aOkM5iDUnVkeDoWDWKJ6gGj+8/PB7Rj95JT9wzOHQLI+xwIuegxZklnu+VGU2YDF/RnuYQN18IWE+QMoHAE7Hs4FnL0lrbO6DTz6kfSe3v4DecZ6/CpnAC6B/n8eSQLC5a8WAH+ViP7izr2+QYMIGvU7guduX9z43bJwhLWTDfFGXwLGgrcxfjjaY0Mco8OQj2EdRi3baxOEvA+e4q7CUnD4edSUz808yP4Os/E+CPNOxU82eowPAzAzhtzs3EA2emyFbNgBbJYgkf86aMTe0+yxcgtAMsD3M/SzzvfpaNiYnEPVfGZP6MJGm1anqG4A3yvO8s425/G8Q/sBoB9tXpnT2bG4gIXYUDAEAWpgI2v8pKLc6zqNJs4VEbY41IdAh3q9gLeuS6YSeQc1dVu19VX7BtJ717s/W7dbPFxkY59nERYWNowfMfz8GUOT8JV1AcX+8/rhzIuVl/xAMDPKnINYDkicBtM1p8kLVs9yDnBQCYhrPNsAHv1I2vedL8/P+jUI64dv58Jwzw2Hu+9K78LN30nv2p13X1H0uGPZDwN4L4A/SESfAADn3LsA/JRz7s8Q0U/s3PMbMcyU3Y8RYSwTaLahhEyjDQTDM4XRtInU6bEa+02OXnnKHobYUD57tFI24tMc5IGV7Ya5cRhFcjFH7kt00mSdDbCFinjM5EVkjSGbhbw4mYOBt93eN3jq7MM7EtjocAdWb1koCh+tcXqZHMDNwxT2HAZN9PY4//UoCrwq3J+Pm849tOJuRrTOJvLrHA3nbxZDJAgG2qtnDAOiRoCmmtT52ohTZ7ahCrZWeVKhxPLc7PnxKBqovIp6jFaiWscuvr418Etl5K2Sqt1XvT9bMNn7TXSmVMNw/fX5iGS2VWU3hXmdSe7WjJ9CJmI2eQGWlOBOX96wSvmTJxgTBLLZXM+zziNqIRdnjHwej/3zRSP0bOyj6RGg1b9Oiry4AbybgCVXD7PKirweTmcFt788yHnuGrscwPsAfBsRvcxfENHHnXPfA+CXALz5DsABYW3gHnbe/BAxZrq0+Oyw1tZ0hS4QQ0TmoeMHS/ICBiqyBT4148bS/A6y4WdDbI2djVLZ8G9y9B484cBE/sA2obAgET87Hg8qMH9AE75pW8a2M9wUhyLy52MehCkfV69ZJQPUKNcO4HRayT3Q/MFkEsftveiNpvkLvKEyOj0+51nMTIivg88DUOPOb7GV+67bBQbfMRjw2mrQGEr+zj5X7bbGPnl9PiSpz9BeoVXVQir1TNXeCz3LvuDbvqMn9Zz+77vRfs00s0V/ViepVwdR3yfbYU8cxhRE4p0jeWfeBYZ7yOQC3AUnhvM1jBHRsAPTSTnJAbADSMY8B0ZslDtKmqY3kDBsWM/n/HEnGjziCMjJNizncPvLg0w/Wb2TBteUWrgILFmsjj9tfwO/0fXkk20i5zHWzSUUY5cDGK3x50FELznnxt4Gb/RwjiR6B9BE+cIKQCfaD7Fh98yLPnSM7XqTNOTE2+gXieys0Zf8QlWevh5mrAbdFujPGKYY5OVgg3AwTDgc2QDrS68sHTXYNVvncJwE819VwmuASWozlXIZxYnwsa6NG2Hr9GSedV+KwT+Y01N2d3OAk4Nk+Bn3t8VeNfRjOf+90WvcYmcA7IDsLOa8o/dTG0/m4C+GBipsFKczgOJ8OdpiW1IYcXUAtXMLnuBzItEGY7Xi7GhnAJ1czSCYtn63a7Aj2B9ma5PF0re4UE3VSvNaDM/OAGzdhLDaDB12nzqdZeNBUpSVP6zeP++CA69LL+qdLLc8H3pR4ZRHmCAOgNU7wzmwOuWzydcwOT0uG9nc39QtKttMJhLn5Vwl7Cc11JyKWQ7VQJPZP0fr7BTGM03mWgVQUStlJqvZ7uCV9Pfmevm5bexyAJtXueyNG05fgCUquyKKqHb68OtFDL9E7j4qMyM7jmkaxGkw7hfCIoa/B/dYPnhN6+NjrYZFmp7Yl5iNKEf7U/RiAFd5prA2jB+RIzbRFuP9Votmnbc9CLM2W6mSxSk602QtkBg//PIeyaxjErZOt8TfsHEE+snMn3kJBfQDlHTR3ujhzTX0E8k1Ms/W2MzmnlgYDki/iaiKMmTDz4lfVJbZrBMqYxu8KyI/AKnXLHg/2RH42BRsBUNttLDHKAFCOYtwjhA8P6cZE+7MCNI9aL9/mLwKgKLCWgrL+L4yzdZAa3NntmXhnl4+zNZOACnYqqEywMzGmaxxERDOyndb8PaB1HrOasxZd+foxbTB/WcN5ZMN5+wQUnwilErywNlTeXfcnD2okWVHsc5QzOqeavIID3+EOoz8vPhLh1W2lo9+NH358r8Zym2Qtot5G6aGUgCe/rVUO/P5b8rV7Nc1v8AIJucE4uhkfzc+ngOAqf/s8NjlAL7WOXev870DcND5/k0ZGiUExKl8OFjudVgtTcGWxSKZ0jlvguK8bPTHuYjaeexTCMRwz8o0O5fzJo+LqYRbvCOMeZsi4VsZkTn6JtFb4P2BHcCkVM9K5dPi/Vwlu4lBkstHAzN+NmqUDJwgL7aReebI/2xO1zWEBdfyfizls9fta9voURATRbGKNtHCElMMOL9M58LPyTgsrVYTH4vahiPBGHFtOIMGsphNUMC/Q/CxoQRb1k5R4FRDQE6fV0kWdxLTPCL5ZlYWzKXsdLqGQmudKDvSuoObzTfxs3sxD8I+61W92/dlyu/pdJFza7Nv8O60g/xlLtgK94IUPV3eyvsNOtsQR75RGOeJ/y+9R8//O1kK4YREZ1/yh7OD41lDjtjjoTHk6zKRC0AKsZjeOR84iexxyAY76iyDaZsjSQXyy+tcm3MKLKsSKoojybY8U6Dg8Lk/kgz/9efSeqfkMGWlT+72xdvFFWHKnvXOe9KXR6K61h+7xOB2p4+/CINI2Twp2ZN/0Jy04aSwjcJsRabQOictsBpWGrUDjOOmbW3UL4Z/0tuyWpU4f89xWO0YpobyC36wmgXvr6N+e/xNDDjPzsPSPI+qXMHKLw2kovj4IIZfEr4g2cdhxv3XfhbWjtxDwyU/y+HGg3mN0+wA2CndWF3gxuq82J+Ve9iF/VvD32v2Xs8AFhNtzmZmdXGWzk8StIdtEpiH2+YApFBOcX/HkXx+Y7xpV8j7HQ3TS+iNUaEiZ8Xd2AG48pm1z44zLbrq89xEnYHFKxxrzaCa4mCIAGr07bMClA6Af2N+di7mEZf5O5tvqWfZ8xzU8J+lT3fphfEizBtPwuf3m7S/4dxhk1snzif5t2A4J5A4DNZz2lz3YviFZbOOktRlp7NEJ5r7cZWdzbm5v/xnIGPQs0NnOZHgRc6BHUEcnbKFeD1n8Hu5SU5mEpcm4V+3s4wrpXHeezZ9PvrbC+49m4Owm/n68wwApkkWY//nV4j2vCZVzzd9mCy/D9HANvoQATnaZ1lYnp52GAKp+5dCRDxs9S6Qawj4Iefc0pYaAj6mMJJMxMT5hrVhBim/fzs19GIecJGjbDZmY1hk25WRZ2hqEnjmsIxNkdi1cSMJX2H8mEYvZb1AmfA935Y/MMwhoOWqF/epF+13ItureOaWeRIzfMCzQXsdkgOQ/7umA1twsVBcrY9h91nnflKDnfLeJfiwpRrz32Pn92/O2xyLA4p7m7U4Yzl3tCJzVgtItYP097SNe4QQEMvnxMI9/ByeTyMuc0XSUr0bAGRWPk8h1ewAcBvjKKpm66nfd16WCzHY+ANQmYZV+a4DkGbuy0CI6zqTqucl9M5AAgvxqZP3QtfkWQEFU9dR5SDimqQ5zMhNYMhJoleoml6Pz99N1xS3f/S3Ms3zPV56A9iZB4+sdoIvfFWQuoLV3XJZHF0j7hqvsPBfWg4ApuhraKmRkhNaPIq+AUg8YhZ+E/0VT43xTkU/JTMoRm25wQni9TgLVCKJOej6s8FA+ZzYYazNjKGRgqAe3q8R24HF+31F9TTGVmYenCCdBzHYuo9JsPpBahRMkt1EiSyyxvmD03kt53dtTPs4GS/6cg9bEr29YiRrsGzk2rBQDDWRBxFE78WtDINpiwhfiuzLfRSNdjqFeowfzZFMbYTmABq1VqfnXFd98zZAm/gtjmluk2oCjY3sxWJly00eRQv2OPdk2mQytGMcQB0o2Op0foYuNwM2m5Iu7UNsuuk5B9gG6elLEgftzQxAZDmYrDEEwffFYfDMztA7hQXk1FCDnU2EQkumg5d0/ZKZACG/ToL3A16ct6sMK3kSrJ5x9+PPAZvMIGIJhmVN+vvxrXFK17z3bJ7tPIAcX3IAxnnwq7Ks1eDXr5WfIM6BHczvLwfgSbD6bhMUTgpPXh9KhoXGNmK3eOtsDHWtXRJ8lG0ta6MW/pqNcZorJzIOGrGvO/ROSw1lw3qeo61pCRIpcq5gZRrPB+OA2CgyLMIvM+P0QJkz6Mkz8LCRo1I9D2R/DFtdy1IPx+Fyp2TErhENxKOGX43ZPpWrzgE4ysfNL3aqNlYDbYdN7vPoGXG7HitPdrc1s4ee0/OxdQD2uPV29TEBYMr7ePn0CNOt7ffEKoA2mkk0FjM5IM0Q+RkRaIf7bJBSOUUSI3poQ6Z8fZ7EATjjAOV6zP2X2ftgHQAvzL+7Ayj/rY6aPxXu0Jk/qQpnTtK7yQGXTjYBkjNpCsscSUN3oXfecdjcyNd7oLMH2SRfDhvZ88fVAI85ezqMSu+0GD9fDmsC2UeCY7Cw0SifncPlTWBmauia95uvde3kuyEhsTi4QrvhS8oBOPRfEKWNcXjm4bKjYIw/Vf2yGFtazSp/yoM9e2V1SGJ4KRhBaR/UsopikP3yYIexCotW1pp91S305uhNUZhCDCuD8wMoWkfaSNhCPulTk8aHhukDZIrmDoPF9zf11VWpCD7Pa+sU7R8PyvnnyN92+KqTv72KUSsoV0MWlu9eSEN3NO2lTmTQ37ouoiqa71SWwAqaFdF5Xs02t+nBQnVEXywP6gB62/KnQEWsjWPW3eRQ9MErR4hv7c+gAH14p7NcAAAgAElEQVQmbJMcifqXoYj8gRTZX846Q7DHTb030v6LfApbD54cGQ0uuedRI/Ul10HExXeL6HSSlZ8XcsKEkopd1v2BhxYJmBtQPcdudgjcuIUTuSuS2YC4lcUp0yjHSsODFNUD2mJxWbPXQTOWA2A6Lu8JKBlyQB3L9eeiFHgxvZPW1ETry6EejwvBnvrwJV74+mTlWUpaHMFA4DQTy0jXRWj1+JJyAIDijTFqP4C6J7A/mDFm7XnlW7f1AxvDUOB9hHHR5O5Ko+1GtG3xKt8wVeqZ44xDg/MD/eYvlsrZq2AdzYyh5veXSp4mWVcZan6pD4cJ17Mq57Fh6ogWjzHSk9BFNeH7ymUCN1nq4eb6HDdXKdy5PmStH7/BusoB2GvuRfEt3NNGrFMcGopiT98m+Ij1QYa0eKZmciW9Zjr1sHLcur4628Fw5WsJhFINc7djrSGt8vg1LKjdrw4oPU+PPX1XZls8FtL7eWma5HCuQLqkLasmQLhYhqaNqAQ7Pgo1VTunUdMjw/toiu7y9Xi9J1wHMUOLuIRKjdg1qjK4YpclnQkqxmarb7nAy2j2rDii58rdE9cUSPmNgVky9/7sLaSYOtt9S+/M0fnhy+n4p291WIwMNG+3ZKfA7J3LWx7rzNc/zm2xzh+3+YM8oxkJLGTARv6zf2Qt215/Lj0n996ebcixqUngvMMX2wE45/4mUn/hF4noq/N3twD8PQDvQGoI86e2NYW3gwiYLvkKIT8KwzzSHDq0PXmjqdxVkTcDFbHWj4WKerMNI/twuRnzvp1sCySHsaqYQT24Z4pBagJ4FhE8ybY9amihG290cYC+Gig7kaNh0gpfY5y194Aa51biYSUOJRjaKCd8bYOXRu6hw1Apo3g26Pk+FHi/Uj93KVUKHddrDYc3kWotUdxLuNphDb/9v91HNBBQrzHPLmcT4ZrGKnYf9UwlOoLP0W7MMMWtwzPJt/jit9MZX/q/SmZM5r7WDsg+C76isnapqUZ3ykpq9EZNYSVypagechUv23aGaqITgy5c/wdppdVdNdS2vSIXeIlvJGCTo+zLm2Y9ts/ZUYyzNl05exqyHucIaomHODqZUXDydnigkbfIThl6Jzuq5VAln3nZW/+vM3z+G5MHmE6yrVlp0xs+3zgkGCgdt6SyDg/Q5AyuEnZ9M2YAfwvAXwPws+a7DwD4ZSL6cefcB/L//9yVe4rauNmPUUXgeNppVlVsX6ex2ihe1xxMpTDAvPHSQKSK0fS3JFenQfbD2zK7Z21qCbYZfgC4mLRbllQRh7kw/ECK+hstIKPFIvIHRgyNj1vg/SLuprmDpuzfaPpb2IfP+eY6gYvHw6ab8GXK5z6aNYldpIYfSAbLVvvy/bINa3jb+tydI4n2efRyADbhuisCt0a8l8uQJKzpy1Anc71rq50XMwNgqWBvku/NPqBtKvmcrq8uRa2VRzT3x86ilsrJ9JLQA0VEWorlxW8oFihfg48GetR3jJkxPZjVMvKkwndSvF9gGd42KnMonDM1NC8zOLoY/Slx7AHgqX+aZruf+0NrUdLkyDpJP+dT5+KrA2XhcALVz8BSwVxiYEcSBpHMDsjhMGsnXOZWjPOx0zoEkwxmw86yE5/7w0dSnMZwTxxRFIUBZWKYZwxSGUxmhvL/t/f2sZJk133Y79yq6u73MR+7M8vd5ZLmUhJNSaYjSmAkg1YCBJIFSQks24kBOTaiQEboIDFgIzEQKQICKQES2YkT+A8jDh05UAzHRuJYMGEwlmQnhuAkliXZohSKpMUvkUsud7m7nJ2Z99HdVffkj3vPR926r9/b3dl9M3x1gEG/6a6uulVddT5/53fyOXTa3VyXN90AMPMvEdGzxds/hDQmEgB+FsA/wkUMAMzbbxcDyo5NP2lLuf8dGkjhnx4FVPC5hOAKw35/gmt2HO3y3ZIozufn/cOm0YMgKRxRnSeAK3sCqgVvDhNv31MGmOI3I9IWhdmBSQtuWjyOjaNWsDSBGDRLRfWTQq9H/Ozy/H26xyv+9Flwyt7qArH4rs//e8++KwzAyLNVQ+CUbcV5nQ41iSNOJZFGHuJoXEy2D7kmlWiDANGk8gD6+6RMI+V3AcA6zMGabhOM2oDp+EdfVPf7l2sgn7UUHcLpbLcxFtcG8M5W/XujGdxIIA2c5KaoPEGLBkwbsAZCm/H5UlwVpdcf2KhFVawR6LNC/cL3ppxJGGDKO7j9S6pKGrZa1ulfQifRnJIhkzQCy/vy5y89AitCyHN6H/vttP3x7WCIIMXru4sjyvwgwUO90GD1A0k3Le8wTvJ8YKWHkHNwhk2M4vAGuIDeTHlShsIz8/O7ZgwT0YeQhtKjuX1Di7pNMMiZsgg6NJAWhMWb6QaNGAzRM0zQAMxwCB4zHmUI3DaGDFLF7+sMzngA6UEUxa9j/WLQGQGeAG6as46jphwgKWXfFQzkFEilOxjI+f4yLcY0Uai+4CsGJjIp1HM/F3z3z0AQXaTb1xd5fZ4fSF60KFTZrufGEb+d3Z84pn6292pTqoCiGOziR/PATYlX0Uzuuk/W4vZROgOS9ZYjw71bkxRBjA3GMvRYUT/ZtkyfpTUU5xMGTcEo/JeD8WFVnBdfEJb/l4q/75tJwxqzy/cLNPOkRXs3Q4ify289YflqZejckip+EaFpiKs4aiIT0f6f7HWHdTCmAEknNWyoG58ycZBQAGjWhFX26LeH+RwyAodbHvH4yL7EQL38rYJeshRNlzl+mrV56KL0twepEAyYQgcBQ761hGSu3yfc/HQ64NGT+ZnNnETD0hrctMN4d3bu4S8CM/OHAXwYAFbf+Az7fKIO6ShgoMO60TP39BCSoinnsAJ+fkAwxa+jJnlSTE7EX5Zn9hJBiAWSonc8NWKwutbWtFT65ogSQRI5TGCdJ9tO0ULi9SYmz6niT/s1SgavHEqCuPVgeHA55qrt3VhHqyNIPaAcNANYrWBM5VymIqYUD6exmxR6a0XTLQeUaCLPWirSjmoAZ2Pua957Q1Ml7hvbhjPy+KNj+WP4vxVWo1cHZ8nAZPcaGQhgl9g52H0q0UjkYBFAHCv98flMlb0Y536wMZlCrbI9bbXpS4Wsw5dOcyPky0FTOXe/0Sn0ohOWBkKfFW8o+gHgKLXVm7eAFqznCjSZIZROJQUVVFGq3SXYT5B/k9ha6kXqA+LFc0tmRDTfb59HqUu4y6HwzjUpIuixT6U373xTo5GCdhEHK3QLziU2hFeycZFi8OO/ZcXgPncOqxF5CGoANXmBiJ7O3v/TAF686BdFKQ+wm9JGPYo5J1Brih9IijtUUipDkdrZblsNVSViaMMw8fZ9cdH2JeH3OHoAxh6mdvC2Bg2tFQ09ysR3BafXTqMR2ceq7auKHygUl+sSLtv/T4duRC8NpLTPQYXj56JY/8mMX5ey8Hl+YOzte/rqkqDsLCK0mpdfw/UDdc/diy+WN0VUkPadRAepVOoetU7oATbQHe4cRWpF5bLprQFrvcW+Nz2HAFakV3AR5YR7eLSfsbIfUZ/n52Tdt9oJvDnOrvu9Dm0u0ko6J3ZRMfwyVhEATp/In+e+DSyjjW/UGgDZRC6pGWjxGNNZ4CPiPb0AKtKxG/oK4sbbLffTyJQuKbx645QH3Omgl/YUOHom70LQN45OQhE6HbQr+KVvSwfeewFaA1jfytd6hQkKCYGVR0jYSLfXsoFzjWAXlcsyAB8B8CMAfjq//t2LfMlzAaX/F/GNRHjLQW+mVpu/pkqf2aZ/bXXWa6N4bfnuatGPFD9Q9gFIcddSR74DWb5Xpoq6MO0vAODQPenVUz9LK35kmnAB+ULveYofGI9QVK/f5X9l/1XEj2P5rOb7d0I+7VWUjBkCqwHIOn2Dm48EdjVU+f+XKZ+u0jntpfTeG/A5HvdYmZ+1PxUO5mVKXVKgkq67t2rkKpPZzpNdBXnv5UvE5/mr0v/DZMLedtuo4g9fS9rssY8T7nxzVux7+Xp1rEqzz2mM4SCY1y5pnDbqc6f5dTaqDj0DuSY9gSS/MYzTHoBL90T35fxW2ADGKi9GAVbgzuiifh8YJOUkHD9acGUMUo8QFNB98+yFaqIHADEymm5iRQsJ3fPJk5bnP/xC2j7NBJaoYHz6o0shxWD3OPhmsl3yVsBA/yZSwfc2ET2HNGbypwH8r0T0JwF8AcAfvdDOmIz6uWGFbgZX1AVSyqZUDUMkxcvb5KFgfQXKMcRocx+AFHc9ze+IvrYyCUyOpaMgXYFYlLMOEKkOerFfWEnOhkbTPWJ0Fm0/ooEGcifqDg4e39gF1PmBAvEkjbTXbEbjIYHdxG5eRsPGC4U28LTpa8tWhPZKf4pWmip/30Q1eq+MACr5+Zp4r79E8gRE9fzls6HSHPZ6pOwv8GJF45pxwMQo136nyGE0RQ3I95hEl5l48NQx3yqSJyvWft0CRzkFeTe998rvjeDD3IAnVBxu2Lof3KKze93vVTpN6T/Fq9RRNgEhRxQK1WxdV6zsq7fhL6Iot9cdvl8yQVsjhBOiNg7mqUM8+mDKnM1O6fay+P2M799cI4V1Gj8QTyaNDQvg9Hb6+zRDRCnC6Clyymxxz2oOpwoHzbta2PlDUlGXXQRm5j92xkff85p3FmFefhd1tm9NOccJ9Cyg1Im+w1HSPU1j4x/bSq3Ae/2i+Eu+80QdMWYKXbji7i6e/b4yaWxgm1LWOkoIReScMQPAy5aD6/5M6zzuzQB49JAoft/hu6Rxg5enea7JmMlznObwyn7C6R9tsH3ZJV3KLj78UWftpDnLftfaOZTedTIs0/e0E1XEDaB9rYZgqHjiVRI8yYQ4xM95UhrgraspKd9UbIzoLfe3nJzmaLOvHIctP71+MmupZURwXF2AOWeAS9+GgLiV93KqdIA+n+wql/q3vqaXsCEcfCn9Laml01tQWJeiaiPQS6FVmrQWbJQRUseJNs1ryPTO7TEpLxCPD5+V/biOw4159KLMF3dSaggwCgd2vN1iiOLC1RdcExmcIQMSWkhoJt7xD1K48ZXvTnCgzQ04mmmMzu8seeiLwCMJsBusM2oH8bb1Ro80mRbGznj4hrE2jKMHjy4yTn0CCoMyoojOx1CmTsf7oxQOTYX4DTQi3ALOhu2JcvcFX08L4dcLmLL1ufNyHsBxbwVX7/V7xQ8IZcTZnr8qIo4jJSjHL5Epnove0xEDuTkunm0Adg08qRVcUw5cCqhj49BgGh14qU0rG8Fci3M96/zt7115dynGG/d+WYwFgIX8nk2zc39GE2IQWk//UM6CPt4ucJwV//Fxcht1MEtgI2HMzw53EVFm50rqPtiz5edxGFmi1MVYPVUW5s3emeLKjADt7HWMokfvyN+VCCCYdyzRQXdkKBxD67B58o4gTumi5QBs3b5SP9AmraVLOcnP43SMUEJsDzDx9kNvHr0Mbjl9PODkiXx8oQDpWA2+Xq/GDMhz35cUvxSou3vAOjOoShpLG9POkEfLANBuMjhV+kOwuQG9xXrCE9M6OGjQ6MEO4x+e/FUVKxo3mj4KTvEDwKrrtZu3iuV33r6QbHn+H8W1V2oFovQXYXAze2th/rho6tE98tBvY2MFZBkE7+Cdo3x/UQQ9KwddGi+P9Vej5Pj+S++0996pmzg14efZoZz93zWkj6iatjI/YbQ/TI81osquRAC1Quwk9QWaDF/xkZBSjLjxiwrNbGj0vbPEp5Ems5OHVju7Txy982k2ADYlL6cql4PWwyQq9r0xSl/CMG9YLgksalY9yM6zz8dqjhod7MIe1aMzAvJb+aN+n42gLdcRfIevDE4fDkiNgRqHnjSgoIoGlEsbO0afo4GcFFByNW7tt6hFAMrP0/Gkd2BgK0K/cpAOtrgDjWhOn5BzpEntATCEj+zjSNhBB4t85LU7mZ6fl0fKAHglzbA0j9xYkscftsGmhWVpltGoGlyKpz6c2oq5wAhcMN5nAQ0VJd01w4QqGBgrfiCxfErYLQ89EY84gIB6b0Druf9FiRBrnWMoUit+/q/kev1AGJ0IFqb4/o4GdPm9em1BKmPTazSmHTg/AvAK0Pch+OEs6fynFA/+b5/2KQ2lh3lWUzsVKWck1LYd2IzGgPH9l94zj35K42HpOeVxck7BlMq6bgAMOWURlVxj7wCcFvn+bd+oUm6KNM6y6ycNk8ykzwnlImw/NJbG4bHRB8xBi32wGQEZorn3FVJsvMEhYR2t2RNX9swGlsbprPZnB8vHCqSMotLg1d4jm6Yls3ndd3Vg/GB5+/Xt9LkwRRPbdooGesUNiM+dTX1wBVytZ7DWFKRWvSFSlNC138mptRuufuBnCGtU4K5F3qa8LcpRpqU8UgYAgA2f8Cemef703zgYyqDRPoB+QuncUNQHkV0UIeRunjJC0kJ+xrDtJ39WgYjWmmm2briGPIhiZJatMX+uHLzTK36gngrZxgZlAbH3Od7qEHkbBQkkozMxAI7jZwRNzMeo9ReMGTyzMii83dEUsEoEsHUUF0MeEoIcWQWe8j3VvP2dxgEe37+7qK3b1VJgeb0NImKh+COHCfrKN7ttitfjvsNxHmwvKRkAWLZW+9klu4rqPu3j0UZAup+FBFGHn7nB9SW6isGIkm/XxHiRcsUYqadefx8AoXbIsNH1Y8Cwn42LUDYQqyIX7hxRuh7xM2mpkO8io3HkNpNn+D7hsU+lt+6/fZz3T8fI+20sb68FXIfRlylx8t1+j5R6YZmZzcLWvH3N8ftLn9ceW+vsvfO7LYyyYnZ67Y6B1cvZ4OYoR7mB9rxRsJTRLnmkDAAzWV4SZvHtNb3fNIPl8d1NHIqbeMQ9nw3Lpm+0oUwMi58lINGDnwegrIkVhJC0zvuB2QKv2wyNEclp+mhrA1ukgOy6eGvdqz5X7BUpYNGGV/6CHvIEcdo34Bq8vNd/3oxZXVMl3VE2e5l3amgUfw6bIi3WDwFDSTNMPOLmL6+NN5TaRFWpBdQ8+5qUit/z88hnsfK0+XSPn6u8cUVvYJyLf/U4aR0ZuLK32qLJrrClwKbdyZFR5QKS6+hTauJQsAMmDPlvMWjkruuki9z95qKAhyHY8ymsnb4VVTxmN7xdkTmPDeCVQULTH9BnMGp3cF7blrQuIFqPW9OYAhGlgdRAya25uQ587WAcrhI7JZuhnDQAnNMxGilogxVbSktTVqQzeTm/Xvui9QEIuicuYGkh583L7TPi+ZdlSurrwKICqU8881/+PwCAF/7MB7HJEZJyCH1dDYSJAOfcPi2i5ihrpHBUUcqaMmJTyj6nD6Q+APFeJHro2mHC91NrBPOMoUPxnrwPjBEf5UD5Za24W4E3eoZMTxNRIohqDWgSWew3Gze7N5+ra/Cqef3j850q+/KzwXXs+mYv2aac6+vx/b7paOBxCmLBA8p6Q1prmQLiCQeSp8De5dnXZNQxXIzf9DIyyvlzj26ygnzSLPc26am/c7yH41dTIrnbz30e3Rb7SsVhM5wN6ukiqaLXoo/NpJju02dyPYcYXOPX2dGryMCeH8s68OluNlov5HV05kUrgm9tuXKZ9csLVsUfnAEwRJBE+WIICCHnY6TRLLYwb995ztoTEMRj52kB131HaJubE1Icvc4MlhRXB1RuP6OUzud8993TjWiwIvDh89mbXxJOnszXxEUM+tPl3QyNQVilBvGlH/8ggFTwloKwRCxfXxPBAIRV9koXgxZza9QOQ1Gg4midw2XeH7BQNTQRTUY3LBxNw6KYJuY9wMHl9IGkfEuK3Caw86wz5LI1dM1yNOpx3O5f8/p7l9Kx0ZHmgZZjDVdt73iCHL5fCr4O5nmRZiOf2qgpexEfZZWMngOmYx097YB4oqfrzoj88pq8oRTxJGetXuuhahTk9SJ9DReZRqbrLxUwN6OpW0Dq5hbFfySK/yhpxM1X9tE+kbTDreuJPObG6kS5mGT62mGzVhZWkY2bpSBDYLZsBWQ/f7pEGG1io7n8TVYLks4Z2O5ncaL6IWjzZH+SqcK/2mF5J213/Pb82+xFoKBS7hlKD6GKOgClkvcwSJ0+pv+HDnqR7tfYmWct2zUnmNQW4oKNdsIbAolkZJjKghBz3UB6A9710XSwr37HgSJ9rDnMFK548cOKLX/vG9Xyn6dvE2PjjvF3UqX5y3/gCU0LKZEcTQ2PRlGHlRrA7sD2ETMAYVygqlE7AEn566CVYuALAO04bNpholj8nGCbbmT7Vk+IporfBsQYKZbNFhgmRsQPEd9FBQHyHqUUDc0ASFE3goyG2il+IKWRRGF6lE85uKWhOCn0NuCpsnepHc/eWUMBlQbANyHVyMsmhfm+0QakTR7S4+kJRIKjfva8P2XqxzdJNTuMnaxpV97f/z3ufRAjZikgqfccbRfq8d+TdM+LyQDQjQ2uHybg+MEiE++5VJ3UakZUHJiuxa6JUWHIDGnPLeUbAO28xxHbtm+MBdcDLfJsjnAnvR5+gfDqe/O1yg1hobOufEUDOVp3zs8lD6TpIiYBRDiIad6OstIPW8KQawUyX5cb59mLXh9I0UX2Cn2otc5Xg56yQUxlItjv/EA+mDMY4oe0R8CNL6QFHwtR22ME1kR+Pr/gyOjEm18y1tlAff7feiKfs9Uj2kwkF7bWVyCRgBDK9fuYGJtHngzOCxGPhk5bU1b5/4BBqB10ODQpMZyMC2zbYTLCjmh3Tl/e6136qJwMNsRgEE6pHbTDqCcAGKd2akNKTDmOPTUg5Yz9zGBgPP3KD34HUspAUiE2wCVezAOupjhsTq8fPlIr8JaIJIU+Ykrn4Bu3jOYb4OOcPjkc59OBccHXDJlc12GS+hn1CBSEdiNx16SGuimjncg0Su8BMmzdFD8A3Dndw717SeHHr2ZX8Wb6na7fPMb1ZXrCxetfNdtRTwaQI5sdhWuNNmlQp0BTawBCJfKS31GU/SY/Q+vThT1HgylszcFnZfPqt0TgIN9P6qgNLs2SldJgzoNcddqGxNyJArki6dgM5RTEzbAEep2+Zb0JZWtGHMgar0gKz4T2OP9OWWHGFuYuewOQv1pyBtW8+e0hYXMjHUOatfafhyp25R/qyAyORDbR9i3pMQ6YbjdgMmLy9sfSvXHvXR1OH8/XJze1fV0VgQGz2MQ0uf2V4mEIRh4l27fRiOG0oDuMUjpAWdyS/DRVpxopgVw/LmQ2IWK1GBdyV+12AuUEptFLZNIhIV4nacMYW158O4x/3S4MFRqHKX9/p1HHgFoBtSbe8weS0i9HN/aj4SPjiCFtV8JBd7snosQpMLqXsnG9lb97Bmd9yfjZgEf1jbRfFwHsqnO4c5bPY8Xz90avL+ocPlUnXv+rd/ax/BfZ839vSvdcv55er63WOFDFP53l0BX3aylNcf5diGhj+u6WRHtNAQS+J0WpIE6SwYp3F6rsoxRqu6gcN3rlyNXhalPXRJcxGS2EQE83hNVX09+Hz6UN777LoJElvp2DK766voFJziMAaKbKcO+F9Oox9VI4llQMRcZRRgnJ4BZ2PQfaTOYcfMvZ5+1bK9YKRDQurEis16SxuoGf8WvU0BbZiNGSrt8X/uX0Rndkx+Cj8fmdJY+UAWCGevYcTSmP8L9INxjJKDX1+iM6QfC4VMykEYgdgqdsdEE9VNYZAQ4qunQUEOl12D0msFI09FJ2DG9j43K7U1SPV/xA8hzVK3b8/TVRj7/m9Va8dx056Ijcah2w5cByXwQWSXn8ccG37QY0GV636U3pTr7rED8e+z/B+o+4gMafjSIBBx8poyB/bBu+QmrkpOB7OrTq+d8/yUNKvrLE5puTwr95I+WUD5d5XnO3UadBzmFUxxilr6b3kXU9W9Sz636TiHI9tDgRxb/OFBB307rDSUDMEUq7Eo6fiHIQk5+bYbBqO6bQPsSeNPUjM35pQ5rKeOnb8xq7oVLUFY+ZTCfKe4CSsIlQhEHGJce/BO69K7/luohFTm9no3RKytCpA2lkwyVPvGtiF0Rkzbq95ga9yNIYE7K2xV3gid9I/3n596TrvrlBagyUvtqdnjas5W3WCztHv6Zd8kgZADAhnkqVB0AuAouyDy5nXxqHQMbpL9QRATyhax6i4zmXcDeSIRhcfUDSPFR81rnJVH4MYVmEjEwTz76v5LYB90AJ9DBY/tqaucwALGrdvEUOvMaf76WW+vFpH8/gCeT5s0Wax0uZRjmL0bNEqDQh4uSpvGZFctFke59SayppoZLOwit7HwnsoliozTfw3r787eGdx5v0QK+P0mvzjhM8dj1pFEn3KLNr2+tv11bqGHbOcWcEtYvioq/Uj062HU6y4t8epVfJt8fHtopIarUPxjlCzlEasjLWmhtjyuezCQi5AUyas2LL2F5P++alwEF5AoNUOOgmKC1Ecyx5/ClqBhFKqCbGg1tWvn5VrE6Z54AJcWVFYEnpHOToYHtg3EH+Z1CjJKfcQfsajNGTNdqQgS/9PmF9I90f0kPw1P+7wZ33LPR4sj/1z+S1sVeloXakdbvkETMAFqZhaWidXaRwIr6Qq4gGsl9dDEE/NMbqKf0AZBQUYkS6dpjQEniFVe0ELn6NPk5pD7bRmBf9fkvPrg3RUD2u0Nu53K9/9YiXmsQdXn9tu+SBj1M6m9g6qOf5yJldMENZM5CueTyQgqf7vKIUSwRTIq0bp0X8NlWe/xI4ThFD4e55A2jY+zDy/IGU9z8+TQ9xu0y/041rJ5U8v0WM5TprUjNSDbhq3MxQBV2bFKSl6ex006HfSL4ln372+rtVP4meidwzA4GPGrpH4NpYB/PaZbD7CeHa76SPhf9m/QSroiTt7I0TA6B3wMD6nvD0PP7JiKOnsoOSUTPNFjj8Uromr2ZIZmoqKzxqn0UQ5Q0A2VBod7BknTaYdNk2a+DG59J1uv/2Vs9PKZ1dndE6j0Wxs/6dQVU4vb0YNdkBqeAsENLlnezYHHM+ZtBoQwbWF/1+E7VeGrMAACAASURBVHm0DAAALKXIZGygJSmc5+qPLjwtSdv8TawF5CFYN2P+rG2jInh8P0DZnj+eKmVePoDEay4PjMsdb1xXMJCiDlGySi0Bo4fw84KVF6ixHgJf4PXr8Mp/l9cfQVUjYOkbQ7yUHDO+wamv3HnnNVvJNuL5aiGzHdCspuMP7TuyfX38Y4n1b1yUUJtpsItls2YAx/MVxgbgZGuEe4cHKc1zfXmK6xnhsyrmN7TOiPkUT8mk6kne4o5icGIXFZSara2kIGE2R8ry+GKAhyoiTkSfoUjKvRXyrN+954MSlMW9tI/+kHHnW4t1uiYuXyug/J8pK6g1eAnm/avvD9MB7NEQOTrsfQvwenwiMZIZAakbRssCimctXbfsBr2I0ACc3s7sujkHv/cSsBWYptI60Ag6Ksfy9QA5L8+LJNdGjNHmhhlUAFh9Ddh/MW0vTWfag3GGPFoGILB5/e3gPG5T/KX48JQLTNRZ20sBS4Z+1xrBPN9PTWpj9UqjMMQw6dLshzAZPrN0GH5fSBalsXBdvLVmJ5Hz4Iz6XmX7suDZs0E4NQXiGpz8oPozcfjnFJ61FkCsBXylAnHi91dGPg2mUE/vWdfqIPoeybnXOnzNAHqWTcH3388F35N1p2M/Jc9/2G1cgXdsAEbHcDBgMTJivLbc7OxPMOI9a/DyBHA69U3qSK7bfTJoCWNElmyjUGu5dzcNcJT+Pvx8+uzoHYw+p3akHpcavPJ+lHfHePv1+K7bVpu5HCuo+DT9fn6ultHRPOcvMjQtJSmj9ph0hoHUDGI3RczQ4GySdOlK6qhzBsB1H0vHsDZiLQmLnDa6lge9bK6R1ggU5nlqRka6eYc9Rx/hU1vS0CY1gNy3MOy5Gsn5vlY67sU2e3OEiD4P4B6SzumZ+QO7tzcIp09Pi1IK7v+eGRRIN6dgmLUu0EajrRVvJxh9rU/3KJJElHNlmIhFG3ShFIifKSD1hsbNH97zg+ILb997ip17vYiXrcev5LPH52NPhE3zkkiAzCuN5mGWTJaAS+WUg1m8x16JnjR6aQajIa7l/kdF3amxKTub7ft1NFb9Wowhr70baL92NNv3peC7zgiaGHC4yrh+l+4pFf/I2y8QVH30RjSteXsGvs8MtRWjS76hIQa9n70TZDDq8e+a6NXD6DM/TKnP9A981GHv+Wxsnk777W/0CFo4FuVsc4KlVsDcaF0gbKdKTBSbzBLu7gFrhTzm37G1Bi8F2bD9HYW7ZwGji5YJXq0VbuW26O4Di/s5vfLM2GCkyyvnMy0CCPS0XwExp7lOn/DfHR9ru7W13PxMevP4iaBevjaCBcvrl+khJoClaCy3xyNQA/jXmPml1/wtNuUeC7pOZtLGIUUNbYNeDGk5b9o4GvIOIPOXp+08BXE5+N2LV/zAOI/vO4LL8NkvW46/aAasJqMepwqjG+W7TTmUnPfniSr0QsGfub1Le5Q8PikCGDfFMZNeOyEPM2K7qcGqFcsbR7znkVc1ZV82e9U6my0F9NoMpj/+wDSaowwkD/vuOsXcJ9kArBZTGodF049+x9H+UeNzatw5jGcFTNZXpIq2lajM05hIdFTjqhryDbqNri4mKKw+KJIHx+mz5VcbVVT9jaz0l4NSO3gjrmct/hxDqR2ufzbfT3vAJqePjP4gvW6uY5JG4UiKSdXmKyYIB5HNA7Dmse21rLBbTDD3p731HwgKaJELtMOKEJfTPLscwx9LDIsijhq/aImAgCHvT2b8dvcctYNEFg1U4TcFL2C/Z70G8P0NO+RhMACvSQaPzBnXUUZW38bP5bskAEEawHI6oUZzG8ATRV3zDoOjMSgpITZ9M/Ke0tpYU1Xy0BGZAlCOm6afzPptHfd/p8rT5fSrFM05P+jOpUwZRKaJ4o8IO9ElZjBMYfiahiiZjaNybliUt2Df0kvwIxTF6GIaFQSw0X1UUkAiDfwAdLvWPuefPjs77TPAqBMGd1nLbt8+NpPUyt31SqGe4lkfLDfY6wSZZem7s+YQDC563DiqjzKK8iKdwIlaw+oxgKTqshJzdaEaIm3rKMnlPSDTPpzm3zOj8KgPqmyVsfNWVG5+CJKn0rjJbKkfzelvSakd7r8zvdUfRqNsqMBBtTArKZ5IowYtvT6aNjJDIHTQ2uDVsjtG3kdrfQjCu7PIXvr+VzBp3AIsQtl/Mf3Wd39Xo0ZMFDzAE7gqAF27bDcspqgiWT9g6KYmG6e9lxirHD3ce2czWVtNLtsAMIBfoHTH/Q/M/OGdGzMwCLrAj6kT712w/4EdQ+ig7zVuEIy8lkieWgHZTwTTXKizEuVQ+G1vHpNI1w5oyLqCgTFaSNaxcMNffI6/VPw1hs6aN+unde2iqBbPfhuNv78mntpYjZyDsNpAcevY7cRo5uP30ZRZLD6rnU8TokI4t8Fy12VaxKeADP00RQaNYLBFDaBBnBSBYyVVtuUw8vwB4Gi9UMfj2kGGd7p8/7g3oUgfuuu6KZBEp0NrvEetXZtd09l8b4Lm+aUjGDRpfKyRFso9vD1twXcyhDUr2+FgAO2Ju3t2FMVM6uUPkuOPZI7ZSTpGe79RJbe9niOF1ZCgoMAI1gmkCERgqk1u+lzesRGOgp8Hmff+zM+nRMMX//XbiI9lYyADVxgTDH0C9ufzyNd9kwu520NT2F45h3x9jp9K57W46/j9tSOYDK7pahWq7OWRbVz0MKKhTu8JA4IYjP6QcJzTcdow95CngH4/M3+ZiN4G4BeJ6JPM/Et+AyL6EIAPAUBz6yZYTjACyAXhULAIhsby+KT74Qmnv8/j1wni0qsf3WjrcjlbSfe4zmD51NcRFEm0ozlshO5x+WGv+NP29fSFFQ5N8ev/iwlWiUygMF7OY6xJvRHMUhYaBQn1cAxghQ6OPfs+BLQ7ECyj1I5DpPh9AUCN3tkjfnzKx+/3rEa4WhdzmVrpuRlROAOJCmRvldI91xyPj/yOfjRl2cTm4bObIrLYxmYKOa6s3fdVWATIxgEkeelKr0lkm1GgzYbCo3Vvobz929spmmn2enWoRJihdTbP9WNdv2k7csp78bW0/d6LwL1359+0cw6dwmTyQcRzJtY3vZcsMEjfTbu5kf7+9J9Ig3qbjTVgUf6Nqas0dg0uupDeACF784Ry7lJKOpokPdRZv4B46s1pBUJ6Cuy/lL+br9P9t1tznNI7V9JHIn4i2QVR3ZdrAJj5y/n1RSL6OQDfCeCXim0+DODDALB89h2sJ79gnQ/cFvNKQ5jyydQkwroJ/XUqi2DDUJ/TW8pQSfcIAmTV9pPcvs+Be0MwmWDllNiuBp/6OTpDUJlXWxYcPWxwl2wdzbBXOiUyxKN2FNbZ2PalwqpRX9ekVkBuyGYn+z6A8pqdN/yllMENcJF1phGbBvUEEkT42so6eoH0W9vvKaklH4GN8/2nQ6eKXwxLIJ4Q+XVh2NnXYffV4MjgbPvNUCj72GjUJg1hm+Ps9d8L2N7KjWD7+d5d9JN7MCHt8nmJw3TcoDkaF3e9EhP6g3vPsqZjVNileUvU0DYgbMf38/a67YMVDsqmKEWJbwLa++m91YvpvWZLxu4pKcptSqsAwDZj+XVcI1lNy08TK4Vb1iYuv/8S3kkRWN/KqbqcRlq9DLztn6f76ZX3JovW71mB2Q6SX4MVi60h7MylpWPt/vjNEyI6ABCY+V7++/sA/Oc7vxQY7UG6ASlE9UC0A9c1qZTpDt+mrsXjSOjVUEC3i0UI3PdBPRsdMNPG0XSwdHwzOoKyWDie/1VBBuehnHqKmBKa7WoI8rKrsSoQTWoFnqlSRzJyM1F21WO5QSeepsLmKwj6qjXlLl3Ug3npsciF1mgwUgQgv7Up/bZI7bSOIdOngLqC+mIXHDbNMLacOgBsY6ue/0l+wu73S4V6ytpurta4oZ29m7wmj0ySWkiY5PnFmNzfLpQiWiLQm3sn08ltYbvTkNl1iDpa1Ay2Ga9TNxNYFf9atEd+hp5ao1MeLXGyoqFrHK+PzBPG/XS99r/cYHMjK9HH872+HCaKiXuyYS9CD3FsBkDz3hI5vArsv5A+vPsN+Xe6PqV5ZoJO7tLJgQ0bfcJt8dTrtM3HmQsoZBK6LuP7r33e1iY8QbHTS6YRBiIw5MKskry1LtpwnroYBYF19vvA/Xcu9XN9FcObr7v0NzRrYKm8QznKXu3OAV1mBPAkgJ+jdBe1AP4XZv77u75AwZpViNild6bbesUPZNhawWku+/Gv7LxSj3jQImW+ORadjZgsIXVNiNbM5HL7JfWzn+vrvamawhdl5KGuk2YzT1QmlBHyEDMQd+w3uuKhR5+ctaYaj48XNbZbS1rGTpBRQbcpc9Dj6zC9NrVBP96zL5E+vhO4JEoD6gbHn6NsU0I+N4MhvaQT+8Dn+yvFeu/t+9kAAEbzASRCkOKxp/iQe63KXuqvhT9+1myeSnxdRC/rramCNhMZNp1dmzKSjtGuYvRw0JzTX76cnYN9QwRB4KBtNMWnKLkASKNWRt5c/xwpJl7SOOLhn95OVMuAyxJtrSDOvXPs5HMZML8mLaBGh9uP5YwAYEItsZWZBQ0sKmmLbWGRTXuc0lv+8/VN0s99sK0IIkd4Zwgi2Z4d+ilHUUIF0ZL2H0gj2EMLA2XmzwL4ttfyHYJ5gqNZo/n3krSDh2wqo+dguGXf6avzAJrpd3SAjDM8y8qQGEk7jMYVupy+vNbm+tYagEqJHBDyXSEPcXAFVC9DoVBFwQVibWgS5TG4PL5XxH7CmEhJHzw6xq5KUyTFeosB9rWVizTMRTbiP5/vn9ZFpqmyUSPYBVJLKS1l9RAgGcV1BfIpsqrw+IjXDXhcf3rdOCqGe9vcMJbn/w4cVPH7NFKn57A7GqxFBUrH7WhHROFLlBvI6E5ERvTqCrnO5zKQKv4olCknDbpX8j2WPebjp6PW6gyk4Y4hf0RoikbQQMdPAdsbOWqSIe6yD0bKw8BSS81RQJs9YD8lTBSrUCjc+NyAe78rd+DnXgJuXdnMac1SKYsMSzMY1cHyEgnvW4Qg0UN7YggexffDPHlh9HzbL38NX/lXUuuxNoetqMp3pNdEgh1XSN4ll10Eft3CMO8hZoUlytznneUnGXqbEaD4ZTJoqMCyKLANmpFcILF6+8ry6fj9vZIXKT17bxR0m0ohE7AHttYJqtWoagcvTaIBNQCu6cBHAiU183jUpDMAFW/8IsIDaYgmkdeITmGHYamJN6wlZ07jaRSc11/yKI0XKOkek3KI/Zq7CcXDad+po+G7emtT3BQ55bh4RPHfX6dXMY77tb4Bt9+LiqJ8nEGT33PtGvbEsCaU2jRFmL5oz5TN2WjA0rClkE5D8Gxv5n21tk99Xl06VjD6WDdKDCezebc3WOkjtDDs4KBMlsoFgBBMiYonPKxg9BA5iji93diox2yomg1podVj50VRBykaC6Jpz5Tr6KppSkeiCfPKJTu2ue6+6+cK5FNdZ+/9+O2PKaWEUErzPbc+UWMCEDsBwjan2wStJH0BZ8gjZwDMAwmaopn0A/iijGzvKGi1KNRGnfsrLIeto7n1nEHi5Xuvv+T3rynJ16s4vQxMem4lbt7L2HsVj80iBpHmjAEvso9acbfWdFVGD17GKYNz4tAzjlUzBI1LoxnL57RYbtOyGM0Z3nOsVMgGN1ZRvP710OKoT0/x3Zyf3wyNEroZGd9QbewS4+3nAN89lYax5D4e7mXUULcZDYIBzqCJAE3gqqN+FZfa613qB0iRsvWk2H0/ia6FoBCuoz4P5glHjc4DkNQOKs8dBpv+pdDtCFX84r239wLe/o/T+T7/wXRN/OQsvRM070STpitiaxwb9iTtGLXvRKUnRDnuUXpdvmLFV0k3DUs7nijZLtOSL+7alLAh5/ZjR5Mu3dDDs4qn187BOt3aNLWjOS2jjJA1pVrB+HT8sUIxJlOiibPkkTIAzDQa8TgaJwen+BvXB+AVkYagWYksBjccJnvzTb2b1o9xBBI9QZnm2aXsz0s/1Jqvxnh8USw5ZOdpH0DkMFH8pljtTouuKDndzg2Wd5/p5LJKisFHO1qk9ddAIIHVMy/PmSZ/R57Ocw4e8YNKBOCjAv28WAHHCW4+nf84BXQSO9wvPHZmqjgA9fSLev6S9lmvcO9+MgCLnG8/WJjXX4MB6zVx69zVsLd1xX0pNPtOYMk8eAbdEqWkLKd9o41gbR7/OCwZ2Lf53EBC3/mhTGmdDehUsP7ZGdnQpOA6rBhf/B5pcrA0j8BFUfTVIEK5fYQNlHrr7NV8fsuTjmEEqPcsXv/6FnAiTV+d6RFV6ELAlsngmhPSwTHXvpi2P7lt/P0izQY4+EpOY2X0ztHThF7onV39YGLQBpjjpzUAFzVItCFpn9YKyLKO8/zOR8wAFI1g+QZQWKzrCwiFsgesWKz55CZOSN68JzTy5DE2KDW4Ym37mnc89pynHnqplNPf2fA55b3Lky+9eC+ixEdGoZKW8akgPbcw3kcpen3kIW6M96WUmscaMI0saqmocQrIX5PxugLO7rqtyVAp+J4MnU7zun+aXq/trauKv/y9+9iMPP+0j4Xex/t5LsCY96mf7leUcRwbJy++s1s7lrkZ1YGA5MTU4NHljGtDwTVAVuJ62MNeFb/UDsitUzj1EUk5fp7+v9ObX/7uBsNhjjYUS28c+Ur4tg5YZKNBZeaTLT0jXvmwgDZisRR5EexcBWjQk9JOSCoothh3BWOcnlFFrIgTxmlW6DJAJrZT5YwInDyRDW8eLrN81eCl6xumsOXctBZwH3jsU+lLr3xLniB33Rq/Jn0LESgfSz5Hwz9SBsDzenB0yJ1ssbUvYDm4noCpopLf0NPcasNWheWzltLZJSNiM28I2N4FgB5ekZqSq6VWjIIinyvTyBikbcJEedeMiRzqfAK0fHPG4I5l51OraUyiIGJkpJeejUZYtetUiQD8sPmFw7QbPYa91noDzp585gygu17iPQvk8+5mha+dpDhfIpH9bjOa7az7LK77JlrBV+CdJ/eXWB4kzSOev+8Wrt1j0pshtZyzmEA9W6usR66F7yYm6dNgU/o6C7iYcd1vrEt3uCYIoWEEnADS7R0LkjesA1Yvp/ee/2COHq73wMoiDxWtJViz5zJz4QhqZv1Yvk+WrDfU+lZ6DVsykrdX1dubpEzC1nLqNz+bzuel97WqGNR7jrBUVgFDDVuYUegk3VQYDSTnVFE60v+ySNFCeg/2WhiqzWPA8VPpxH0TmdQjpLbg004yMH71Sn4O+t366tEyAIASuXmSG+Xzcfn8tjAAHirqm8QUVrdjctcbkZES15hNV4Je/zLFVUIjx1QEcg7xHE9+RyQgNzPxyHjI9ydGBGRU6ZUahL9eFgEY8oMlBVPwLjUhjgrn5TmIIvIjORc6F6GvUD9PO4G91Ob6Ko8TzLM+zk/WUTYAX1vv4f5RehBv3UhVuYNuM+nwraXPfMH3nvAEBcb1vfSk7rVTnqBStg6O2+5o/vLn4dNDSinikV4kyt6Uvih8pfHQ3hcG5Ylgvs4mxVdoH0CwPoAMB1280uj93h/kc1tEi8zlkYjT+5N60py+pnZWLnKQ51iYfxtSN1qGvrfHri6QqZyHPesYPn0inXNzYk1hLGkUh7jRQmsuyj7+yS3u/O4Mob0p2zuFrkrZIKf+p4tFuikZgPxhNvIp3z9OFW3ZHaNEAwHY5GOc5qYyMVhnySNlACgw2qVdRcl9SbohKF1AHNE9APVeAa+w9Bg1L9bJyEOdKOqpctz1vQBWeKU8pGOv35T3ZP4tEyKN00ejwmwljWNflheuwjtrIgpNid0cn4zultwwF0e5bYXoMmXDkzSOT0GJd7rpG2NL1YE4RtHt+f7Lgq/vDdglPu/fKxVDjgBOVi5Xnwe5tFNkji+gy3fvbxdaN+izYj04XGNvMVb8PrKCGlvjUyrXWZPBMYmKNO436Ss9JzoIftMp9YOIND02TdRfWhT1MDhUnXjuQ1BopkBe+sOI7bX8ZUn3sOMCkv0OBJIRj7lzePWyG8BSYvRr3bfuXpaIYXODDULqieXyLRGVeI3UQxdkUOwcTDMfT9A1z9/qtNAqQ+wX9xj3nsnPrFBRkO1PvPLVnYg7787pNddE5tNbQPLoxXjoPdFBn189Xfd7Kl11/imjg5nW5JEyACBD63jSNo/WAZC7FHMKwBWDd6FLRHwj2C6CMr+PXitKtk353Rrk0W+nUDZM11njIhopT7feGq5fjy/vDWJ0ph54DfHji7DijUc3rk+3Z3asppYf3sbyd3IGoGJs5VoILfG6b9EEQcTkVB1F9YY99NOnfi4iZSpl4KC5f+H2Pz5Z4PGcqxeEziL0E299E5tJn8C99UqRPmJEDldr7ROo9TyUUVw67+JcdzCKps8raTafqio4m7bbRq971xlZIpB+r0l3/Nbmc0uRFw1rHY4OM/8QoBGCGofTAD91CwBCJFAOMtoT86g9VQKAMfRUFKWMmjy1QS/yvVFRdpevQ7atdOxGx/dTNl/FCB27KFw/FEmpoTU9E4y9RuYBNOtGIwmZ/zt0zmiIHWYzHpKyevwTx3j5fQnbOeEJInc9JWA75zF4pAwAgUc3pUjNENS807KZaNxMlh86ImsiqRiCkeIvZveqZ811ut1Jbp9tnSOq3mLtnrzLH3+CQsJ0nT4lMTkfp7/OS3eVqY2uYihTc9Y4zbNoB4PrFsfy2/vjlAXP03WH/ewx+2a6MgXUUa1+c7b372Ggxp/f4GQYT/UKgc3zbwzyOUmfsQ34ua9F44Xed8ITtO/TR97zh0FFR+cAuyf8zOdabaOcCFcrJPeuzqH06kwTttx21ByZnxn5/0Bo8vQvykq5vzkg5AhdQBjMVg9gadQ8Ddh7MZ9vhjf2BxHxMKdosmLDQFrUldy+RAfpwPnFKT1RmLLQtiVrQMwYea8ole//vnnbErFw6064vNSR1AX3TVeDFpLzdm6qmTSbpOHt+fyv23t+aLyeolBt50jo6Jl9XaeoglonsqSbpF5wljxaBoBcumeklKfbygN1Vst82h+PjEDaFwGFR1/NU1fQMvI6Qqj4BqyKV15GAB7f7o+1C5s/Om7Fo9R9FFEEXDt77Ry9lBFAH8PkOz4FpHDZdsC6qd9mNe5/BPtt5Zibe0vg2nFepyn7SQ3AQz7dE+u5/kspeX96NtTOUR7qslz0o2Eu6VzNA++jKVZD+iQDsN22uH6YAOZ7fiJYM04f+RGa/vcExgXvMhLw4msgNYSVUXyEUV0FSGmexg1F8hLZSP4U3rlpsMwInU3u1qUuGiNvsPvaUDjppT0hve+kLhD3HfVzFh4IMfMChcwCfPjF9NnJ2xL3D2B5dJBNCQs6yIVw8FzeYTClG62RO+/DDMAqj6caloR+Lyv54hYOW6sH7L2cjn9yi7CV3oDSm4dBScMW2uymqibAhtg4lSTGQAvIwKQRzKCkU8NBBSy1lEfKAHip0QF7Hv9yvB0QRphn2b5My3C07QTyxUyTh8Lz2IjIAJHINOkNkPfLV1mnHLOnMPHoa925QzR4mxCqRdAkLeHXqNdHi6ywJhmXvqp59nqdKsgcL8pF4ykwCmXnty1rAC0sLSXnt/e5DvTMeLsuRHT5iVWlB0ZJoFelRtBCaXDRhjV9qRLPWP3Hbh5NMP+19EsfDXN/fJKMR9sNI04fIKXHSkOtg3RqozRdg9lZ4y3PksjBGtEk3TPYMXZF1P0gr2E89xdJmXnefiArfbnHJGUTCSzGJuf4F19zk76y8h5RP480YH4n30Inb8u7cl3CIyipoJBIfmPrrFUq530eGQ05zlYoJXIKavGqDYDZ5KhA0jR9Z6miTS4Ct0fA9c/m+y+v9+htxvujnbu9NWo99tvpnjh6qlX+Hs8TpD0Bkh47tWsix9ft2+nzeA5m4NEyAInRU/6eKmUvppzETEb9u3azy/bMVnxTTzTQCCUEjJVy6U0NFDBwWaBkdwzzyPzfAM4cklIeq+egN4I/BzEGtUhAjmF5fHfDZJ3g8f01Ba+NPr6oXXis/u/GsUaKeKXvlZzsq1Sy/Z4n1ROytXoE0FQigFI87cU2u3bjpq+kvPml9LSvbr9aTZHJfiRi2MQGR5v03SE3Tl07PNV8f2lEgPEsBSApZ2880zkPSgN9Xqqu/N23br6AvEbY/Sw1QiI2BtdiTvXg2HBVVgNYpn7l3zOxgVp6M33Z+nUEkbK5YZ26IjxY6lXuMdoGhBwByGD1kScu28nlJFIoKblOY0mNSDE4dhUu/+ju7XxRNjfIhsGXhWQnUoMYFtbgJRJbF6G4Iq+s7+Rtydlo1haBsPPstfaQDc+wD2MmzUZEGECHFdAXkcfXVQ0AsJuTOU7SQV6Jl97uQISGpQYwRQbJjz84xSrSREITMkLBKbnBhe3pu/mmA0+299/zyrw0Hj2xzSmmsScMYKTE1RiIEm0GyNjFUlEMMUzSOEMMU27xc8ij/PhL8VpbzYXXI4IypTP+vKhfkCv05uuwvdVPjELKgY9/T8/9r6dDPJ15kJ/EDbfVpq9XTzPm/5oo7n5Sl/GsqaJYPaVys0rf3eu2k36BGlqrd4bdqKwtmqlFNLWUVilpdvP4Pg1gBOkylmjLsZvqYCMZAzkEm+urbLyWttQc/6YBhMpZGrIaVuROPEzf3RzAFLU0fZ22k+eOou1ne338WdiQDnPxRVNJrUghee9FU6xHb7ecvcJO5TkZaEKj0Kyhs4MVVaPdpJhEJx4UpnWBCvVz+p4YlPw8AROG0NjypHBNESApPhfjHjlUIKLnyCNlAJhJoWp9CCg54r3son72PQJ+DoAcw+iK5XsupVHJk6ohiKYc9eF136uRbZUPHWB4ecmjtxWm0m0M6qHJe23TuI7mosjojqXKZrCipSIJmEbGqhT1Cst6AoCVdjWYkCu+63Vyd/UEGoppHQFLQ3W1zuvv8tNukUCPZ4qTUAAAEXpJREFUhXIACVy1kvd3kE/B/N/t09P34skhXnkxxfu3nkxEKvvtVtfnazGC+JGI4d5mqds9fj0liPe7zSQt13OYpHwGZ0zLnoARUWBRsyjFgAZ2rScRpf99HTW33IObdW7YygYgLAbt9vV1AhuFmu+dLWH/uQwrvZ0V3MEAWozTTMwEzjBRPkrH2PuK8d6sb+ffbhWtscpFBQAQTqyQLEr/9AlgyGmhdY4wNo+Zt93k3oD9L5Mycx4/nQ3wCnosKQIPK1J+oIPn8jO2TtscPTWldKZo3rkyev7aEV56f6pqaxrJzQ0QtE53BNz+WFrUnfcmlM/pTTJkkEQC0Qq70vQlt9d2z1JUWieo3yYqj5YBAJTKGQBivhn7SmFY/jLGULsScqMHx/zpDYEagGhKUTDR/WBGhwrPdnAGgIuHrm+iG2do5+THSMq6ZfC58npwnKBbhhgmofq2ZwxZkS+i1Ba8oaLR9pttO4JkinQYNzgNMYx4YdL1NCPX6Qzj+txhEW8gZZtdvRMqPDUUfpznLorkgDjq+B2thwNOczXwKMfOd0720OwljeLJ3kIR5fTRRkKe5JoBM+EwI30E5+/TYn5wjqdm9tI1g4sYfNQ49uLPk3EjWL53nVvoIw4g3RtDHO9birL1we6ODlpQXm5Cl8/LT4Tt2ZIZw4u7wNEz4++y4/SasMKRFVqjjIHcizYJzKGQxNhIGmVz0xrM+gOXFmrGx4pLVsdoyF63pKmGJUacQSISsWxuSIrn0Oa3aPMXJh3DpwPh6JkUbijzaLSUl5SGxkXl9OoZSz0xnv/eWXKpBoCIvh/AX0JKPPyPzPzTO7/AsE5DJgzSCFUMhfekVFKAigPpTadKr2X7rrvJtZ3dzzelXBeQULito3WAlDMt+W+aLmJoxPCY0VGaXZdvFRnyABXf2ayfuQhACPLgFCrnG1eKfMAUyTMMYWQYy+0kEhilmyRiGEiNgayzhgxK55mNYN5eqBE20ZqudqFWcNqY4nd5Auv6Zf2/J4YDkrcvn2/loYDkxxulTLifDcDLdw5x62Yil7mu0M+tNVO5nL0obxmqArh5EW4wTAmh9cNk9HuZUXTV9BN22YFJSf6WjgyuJhIhNBoxWVE9ZLhcHw0GKr0Wm6GxSDJ7+7ESecpg9+jmPCjLZ2CcPJkLs6KAB4Ikv9UpG0infgknz/bQ6XjpFwgBk+lXkqa5T7j56fTZnW8i+544crJ0NiipDIxv75unLMeiiqKknpStVDx1n8efiDO6vp6t+AlRXYGnKRpmTccqrBMO4VP0IwCuN0IQQq0dV9NID6sBIKIGwF8G8AcAPAfgV4joI8z8W2d+iclutq1d2UGI3zIVRGyiuxHyH9HCToWgtazUEqLYfW5Pc5t90DBykGN0U8I5NTY9gaVLMu82bhmDzC5uLYxmZzSABK/jfFPqBK1lwNBVUjoyaGUtlaqgxqtU9k2Io+E4QDKmMsxjIxGLi2xGhXGJpAQZctphnY3mSdvp+UgNwo7lKAbupVTJaW6I2iwbbJqpAVAumqyceBEdbj6OXr00xJNIqXGMpx79k/5POhlLaJ5jH3BzL8X9h10yAIvgUlsOSnlvnXIA9zPFw/W9U6V2EMSPz/dLxLCNjSJxlpMJYjYm1FNMiKHaOsNRFrpraaEu2ExgH9FZk51EkY3rqM8GwEVsNgcgH98XhcV5OhjM8XKzeynn41VhEfT57DMp3LBv0EWBcNLx9BiiTIcV4+X3jZXz4lXbcS0XrsfvoMNh5DUubR5ALd0ihHP7X007Ob4dbBTkwkUn+RjSj7B8Fbj+ubSTO+9J9//2kKzDWL7q0kc2OIa181jgqLHDlHLajYQsB82U7KSlXGYE8J0APp0ng4GI/haAHwKwwwBAi0xhQ1pA0jBpYT+ITveRSLQnRRSIVY8dg5djZZuGSOfvZgVL66CeB+ft4t5g4aaNEkoyhNTtCKDJD0xcRO1X0EjEHStKauu00eaUmDsMfTAhDykzrBU/Q/PCSUDMRSs1iq7PoGZscJwfbPHSF8E8e3csfU/YWI8bDMuiCO7SQr6ZSzx/aFrKPNxdqBal+lgME1ht43j+X+uQdxFPny0e8WJvO+H4GReSc4gfG1We8vMsu95RVUxTP2LYTl3EIPxVnuNoAuVl2kn9XJPgoLGhiCgiyCCh+RyawBNyt+hy+1u5CY8FS0lA7vYVEkYKbClXnX4SsHxpXKxd3xrAQgYnkUIk7fIN+bc4+JLl4wXfH5eiYVlTVqTc/kH5fKR466kgfBE2FPMAurvOuOTvxoV56kI4d/T2HJWfWLFYooJ+D9pf0OemtvXjhPvvSNpY2EDDxinqlRzLYJ1S8KaB1JBoZy8BvLDvAKbk+wPbTl+nZbmRXKYBeAbAF93/nwPwXTu/wab0aUMa0lnbtQsdHac4AMCFc/I9MBKBFDDm4XBGA0g3i3xHngMayMLBMiz0oeOp7J8s3TLY8TWn6o6lHOgyk5UtfaWRbTQ+Fb0mPZnxKoxNDHYsn7OV8Fj363oTWNveLQXEbqhHDYZbQl0HTxCmhfGzlb6Hq66zl9qtTLH6Ye8XGfE4ON58fXXEb4L+EfjmctFXWT5tfRYBSGSjhX6fbqnQgbNbRzlzokqJcUEOoF0SaFqXGeI09eepUqy25XL66p2bQ6PPmOPimpjimIatAMDRO/O5dWxNX775SVI/Eh3sAVtVxjnKVkgl200rUXbLisnX+sCSxxxAeXv5qlAr47p5zX78pI8G0rXJ32OazOuNC4/40XyjS/3k53TpIhStd0w9exrIYK+y4ODrAeP7k9jAHFIfOI8G6zINQM2lmTxxRPQhAB8CgObxm2/2mh59eY2e4iyzvNlyHhZ9lsuT1+dWPBh5DsA73f/fAeDL5UbM/GFm/gAzf6A5PCw/nmWWWWaZ5XXKZRqAXwHwHiJ6NxEtAPwwgI9c4npmmWWWWa6UXFoKiJl7IvrTAH4eCQb615j545e1nllmmWWWqyaX2gfAzB8F8NHLXMMss8wyy1WVy0wBzTLLLLPMcokyG4BZZplllisqswGYZZZZZrmiMhuAWWaZZZYrKrMBmGWWWWa5ojIbgFlmmWWWKyqzAZhllllmuaIyG4BZZplllisqswGYZZZZZrmiMhuAWWaZZZYrKrMBmGWWWWa5ojIbgFlmmWWWKyqzAZhllllmuaIyG4BZZplllisqswGYZZZZZrmiMhuAWWaZZZYrKpdiAIjoJ4noS0T06/nfD17GOmaZZZZZrrJc5kSw/46Z/5tLPP4ss8wyy5WWOQU0yyyzzHJFhZj5rT8o0U8C+HcB3AXwqwD+Y2b+2hnbfgjAh/J/3wfg/3sLlvhG5TaAly57EReQeZ0PVuZ1PliZ1/ng5F3M/ET55ptmAIjoHwB4qvLRTwD4J0gXjAH8FwCeZuYfvcA+f5WZP/BAF/omyLzOByvzOh+szOt8sPKorLMmb1oNgJm/9yLbEdFfBfD33qx1zDLLLLPMUpfLQgE97f77h/FopHVmmWWWWb6u5LJQQH+BiN6PlAL6PIA/dcHvffhNW9GDlXmdD1bmdT5Ymdf5YOVRWedELqUIPMsss8wyy+XLDAOdZZZZZrmiMhuAWWaZZZYrKpdVBF4R0T8loo8R0ceJ6Kfy+380/z8S0ZmwKiL6fiL6FBF9moh+zL3/OBH9IhH9dn597LLWSUTvJKL/i4g+kbf9M+6zB0qF8QCu5+eJ6DfzWn7Vvf8wXc/3uuv160R0l4j+bP7sgVOL7Fjrf01EnySi3yCinyOim2d8/7Lv0XPX+ZDcoxe9npd9j17ker6l9+gDEWZ+y/8BIACH+e8OwC8D+H0AvgXAewH8IwAfOOO7DYDPAPgGAAsAHwPwrfmzvwDgx/LfPwbgz1/iOp8G8B3572sA/oVb508C+HMPw/XM3/k8gNuV9x+a61m5B76C1NzywK/nOWv9PgBtfv/P167JQ3KPXmSdD8M9eu46H5J79ELrfCvv0Qfx71IiAE5yP/+3y/+YmT/BzJ865+vfCeDTzPxZZt4A+FsAfih/9kMAfjb//bMA/tBlrZOZn2fmf5b/vgfgEwCeeSPreTPWeY48NNezkO8B8Blm/p03sp5dsmOtv8DMfX7/nwB4R+XrD8M9eu46H5J79CLXc5c8NNezkDf9Hn0Qcmk1ACJqiOjXAbwI4BeZ+Zcv+NVnAHzR/f852E37JDM/D6SbG8DbLnGdfh/PAvh2JG9C5E/ncPKvvdGw9QGskwH8AhH9GiXqDZGH8noC+GEAf7N474FeT+BCa/1RAP9H5asP2z161jr9Pp7F5d+ju9b5MN2j515PvEX36BuVSzMAzDww8/uRLOl3EtH7LvhVqu3uwa2s2PHrXycAgIgOAfzvAP4sM9/Nb//3AL4RwPsBPA/gL17yOn8/M38HgB8A8B8S0b/6RtdzljyA67kA8AcB/G/u7Qd+Pc9bKxH9BIAewN+oLbO2uwexppq8gXXKNpd+j15gnQ/FPXrB6/mW3aNvVC4dBcTMd5Byv99/wa88B+Cd7v/vAPDl/PcLlLuM8+uLD2iZr2edIKIO6cH6G8z8d9y+Xsg3WQTwV5FSBpe2Tmb+cn59EcDPufU8VNczyw8A+GfM/ILb15t2PfP+R2sloh8B8G8A+OPMXFPsD8U9eoF1PhT36EXW+TDcoxdZZ5a3/B59vXJZKKAnpIpORHsAvhfAJy/49V8B8B4iene2tD8M4CP5s48A+JH8948A+LuXtU4iIgA/A+ATzPzfFp89UCqMN7jOAyK6Jn8jFbtkPQ/N9XTyx1CE1g/6euZ9VtdKRN8P4D8B8AeZ+fiMr1/6PXqRdT4M9+gF13np9+gFf3eRt+QefSDCl1B5BvAvAfjnAH4D6UL8Z/n9P4zkPa0BvADg5/P7bwfwUff9H0RCLHwGwE+4928B+IcAfju/Pn5Z6wTw3Uhh/28A+PX87wfzZ38dwG/mzz6CxIZ6Wev8BiSUyscAfPxhvZ75//sAXgZwo9jvA72e56z100j5fflN/8pDeo+eu86H5B69yDofhnv0or/7W3aPPoh/MxXELLPMMssVlUuvAcwyyyyzzHI5MhuAWWaZZZYrKrMBmGWWWWa5ojIbgFlmmWWWKyqzAZhllllmuaIyG4BZZplllisqswGYZZaHQIjoG4joZ4job1/2Wma5OjIbgFlm2SFE9CwRnWRysDdNODGH/sni2HuZO35DRLffzOPPcjXlsobCzzLLoySf4UQO9oaFiH4vgP+qePtHOXHcjISZTwC8n4g+/yCOPcsspcwGYJYrJUT0HiQyrkMA/yeAP8LM3/Qavv8sEhXwPwbwQQBfQuKkfxLA38/v/z4k2oL/CcBPIVEU/3Fm/qfM/JtIhGKzzHLpMqeAZrkyQkQNgP8ZwH/EzB8AsIfELfNa5T0A/jIz/x4AdwD8m/n9bwLwl5D4ZL4ZwL+NxLfz5wD8p+es7RYR/RUA305EP/461jTLLK9Z5ghglqskfwjAb3GegoU0AevO69jP55hZagK/BuBZJM//c9nDBxF9HMA/ZGYmot/M25wpzPwygH//daxllllet8wRwCxXSb4diclR5NuQUjWvVdbu7wHmSPn3o/t/xOxszfIQynxTznKV5GWk1AyI6LsA/DsA/iIRvQvAvwfg3UjzX//E5S1xllneOpkjgFmukvx1AB/IKZk/gmQQPs1pcPfPIHnzf+oS1zfLLG+pzPMAZrmSQkTvBPC3mfm7MrLnpwD8B8x8VGz3LIC/x8yvaXbxg5QMA/0AM790WWuY5etT5ghglqsq34Y0nQkAPgrgFQA/TkSPF9sNAG682Y1gNZFGMAAdUh1hllkeqMwRwCyzzDLLFZU5AphllllmuaIyG4BZZplllisqswGYZZZZZrmiMhuAWWaZZZYrKrMBmGWWWWa5ojIbgFlmmWWWKyqzAZhllllmuaIyG4BZZplllisqswGYZZZZZrmi8v8D+FipROzHAWsAAAAASUVORK5CYII=\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_par[:, 0, :]))\n",
    "plt.title('Parallel Dynamical X-ray')\n",
    "plt.ylabel('Delay [ps]')\n",
    "plt.xlabel('$q_z$ [nm$^{-1}$]')\n",
    "plt.show()"
   ]
  }
 ],
 "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
}
