{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Dynamical Magnetic X-ray Scattering\r\n",
    "\r\n",
    "In this example static and transient magnetic X-ray simulations are carried out employing a dynamical magnetic X-ray scattering formalism which was adapted from [Project Dyna](http://dyna.neel.cnrs.fr)."
   ]
  },
  {
   "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.\n",
    "\n",
    "In this example the sample `Structure` consists of `AmorphousLayer`s.\n",
    "\n",
    "In order to build an antiferromagnetic sample two different types of _Fe_ `Atom`s and `AmorphousLayer`s are created with opposite in-plane magnetization.\n",
    "\n",
    "Here a local file for the atomic scattering factor is read only for Fe atoms."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "Fe_right = ud.Atom('Fe', mag_amplitude=1, mag_phi=90*u.deg, mag_gamma=90*u.deg,\n",
    "                  atomic_form_factor_path='./Fe.cf')\n",
    "Fe_left = ud.Atom('Fe', mag_amplitude=1, mag_phi=90*u.deg, mag_gamma=270*u.deg,\n",
    "                  atomic_form_factor_path='./Fe.cf')\n",
    "Cr = ud.Atom('Cr')\n",
    "Si = ud.Atom('Si')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "density_Fe = 7874*u.kg/u.m**3\n",
    "\n",
    "prop_Fe = {}\n",
    "prop_Fe['heat_capacity'] = 449*u.J/u.kg/u.K\n",
    "prop_Fe['therm_cond'] = 80*u.W/(u.m *u.K)\n",
    "prop_Fe['lin_therm_exp'] = 11.8e-6\n",
    "prop_Fe['sound_vel'] = 4.910*u.nm/u.ps\n",
    "prop_Fe['opt_ref_index'] = 2.9174+3.3545j\n",
    "\n",
    "layer_Fe_left = ud.AmorphousLayer('Fe_left', 'Fe left amorphous', 1*u.nm, density_Fe, atom=Fe_left, **prop_Fe)\n",
    "layer_Fe_right = ud.AmorphousLayer('Fe_right', 'Fe right amorphous', 1*u.nm, density_Fe, atom=Fe_right, **prop_Fe)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "density_Cr = 7140*u.kg/u.m**3\n",
    "\n",
    "prop_Cr = {}\n",
    "prop_Cr['heat_capacity'] = 449*u.J/u.kg/u.K\n",
    "prop_Cr['therm_cond'] = 94*u.W/(u.m *u.K)\n",
    "prop_Cr['lin_therm_exp'] = 6.2e-6\n",
    "prop_Cr['sound_vel'] = 5.940*u.nm/u.ps\n",
    "prop_Cr['opt_ref_index'] = 3.1612+3.4606j\n",
    "\n",
    "layer_Cr = ud.AmorphousLayer('Cr', \"Cr amorphous\", 1*u.nm, density_Cr, atom=Cr, **prop_Cr)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "density_Si = 2336*u.kg/u.m**3\n",
    "\n",
    "prop_Si = {}\n",
    "prop_Si['heat_capacity'] = 703*u.J/u.kg/u.K\n",
    "prop_Si['therm_cond'] = 150*u.W/(u.m *u.K)\n",
    "prop_Si['lin_therm_exp'] = 2.6e-6\n",
    "prop_Si['sound_vel'] = 8.433*u.nm/u.ps\n",
    "prop_Si['opt_ref_index'] = 3.6941+0.0065435j\n",
    "\n",
    "layer_Si = ud.AmorphousLayer('Si', \"Si amorphous\", 1*u.nm, density_Si, atom=Si, **prop_Si)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "S = ud.Structure('Fe/Cr AFM Super Lattice')\n",
    "\n",
    "# create a sub-structure\n",
    "DL = ud.Structure('Two Fe/Cr Double Layers')\n",
    "DL.add_sub_structure(layer_Fe_left, 1)\n",
    "DL.add_sub_structure(layer_Cr, 1)\n",
    "DL.add_sub_structure(layer_Fe_right, 1)\n",
    "DL.add_sub_structure(layer_Cr, 1)\n",
    "\n",
    "S.add_sub_structure(DL, 10)\n",
    "S.add_sub_structure(layer_Fe_left, 10)\n",
    "S.add_sub_structure(layer_Si, 200)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x72 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "S.visualize()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Heat\n",
    "\n",
    "Refer to the [heat-example](heat.ipynb) for more details."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "h = ud.Heat(S, True)\n",
    "\n",
    "h.save_data = False\n",
    "h.disp_messages = True\n",
    "\n",
    "h.excitation = {'fluence': [40]*u.mJ/u.cm**2,\n",
    "                'delay_pump':  [0]*u.ps,\n",
    "                'pulse_width':  [1]*u.ps,\n",
    "                'multilayer_absorption': True,\n",
    "                'wavelength': 800*u.nm,\n",
    "                'theta': 45*u.deg}\n",
    "\n",
    "# enable heat diffusion\n",
    "h.heat_diffusion = True\n",
    "\n",
    "# temporal and spatial grid\n",
    "delays = np.r_[-2:40:0.1]*u.ps\n",
    "_, _, distances = S.get_distances_of_layers()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "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",
      "Calculating _heat_diffusion_ for excitation 1:1 ...\n",
      "Absorption profile is calculated by multilayer formalism.\n",
      "Total reflectivity of 47.7 % and transmission of 6.4 %.\n"
     ]
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "85654e3fd78446699f6038808b59918e",
       "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 _heat_diffusion_ with 1 excitation(s): 71.088708 s\n",
      "Calculating _heat_diffusion_ ...\n",
      "Absorption profile is calculated by multilayer formalism.\n",
      "Total reflectivity of 47.7 % and transmission of 6.4 %.\n"
     ]
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "f230decdf3dc4113bdf90aeba20792ce",
       "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 _heat_diffusion_: 29.224858 s\n",
      "Elapsed time for _temp_map_: 101.010451 s\n"
     ]
    }
   ],
   "source": [
    "temp_map, delta_temp_map = h.get_temp_map(delays, 0*u.K)"
   ]
  },
  {
   "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, temp_map[20, :], label='{:0.2f} ps'.format(delays[20].to('ps').magnitude))\n",
    "plt.plot(distances.to('nm').magnitude, temp_map[-1, :], label='{:0.2f} ps'.format(delays[-1].to('ps').magnitude))\n",
    "plt.xlim([0, distances.to('nm').magnitude[-1]])\n",
    "plt.xlabel('Distance [nm]')\n",
    "plt.ylabel('Temperature [K]')\n",
    "plt.legend()\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": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "p = ud.PhononNum(S, True)\n",
    "p.save_data = False\n",
    "p.disp_messages = True"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "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": "ba48db5bfbe849deb37a942dc78abc2e",
       "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_: 3.246968 s\n"
     ]
    }
   ],
   "source": [
    "strain_map = p.get_strain_map(delays, temp_map, delta_temp_map)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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GvADs7NcZFxBtkXhKZKKOCLmJZbj4EpkWVMivMShFUQqefArUKGC9632jc66nfby43nEJ3iEiNV4dROQaEVkoIgsLec1CImG4Z8HaDtXHI/EECWN3y43GE0QcQfrGX97hz6+vS1tQMY8YVDBAq66DUhSlwMmnQHlt05i9/Lo7fbK5FTgImAFsAn7s1ckYc5sxZqYxZubQoUO7mmveWLq5iW89+B7Pf7CNPa1Rbn9hFcaYDAspmQgB8M9lW3lt9a6MJInsGJR18emOuoqiFDb5FKhGYLTrfQOwcR/6ZGCM2WKMiRtjEsDtWFfigKU9FneOCZ5+fws3z3+ftTtaUxZSu7POKZ4wJBKGSCyRcuuB4+LLikGVBv1aSUJRlIInnwL1OjBRRMaLSAi4GHg4q8/DwBVONt9xwB5jzKbObpqMUTmcD7yXq+9AwO2qS7rxIi6Xntu9F03YtrWqXALmFYPSJAlFUQqcvJU6MsbEROR64AnAD9xhjFksItc61+cB84GzgBVAK3B1cryI3AucBtSJSCPwHWPM74D/EZEZWFfgGuBz/fah9pOV25opCwUYUZUuphjNcuWBFatoLHOdk22bVFWJDi4+f5aLT5MkFEUpcPJai89JAZ+fdW6eq22A63KMvSTH+ct7c46dsX5nK5v3hjl63JBeud8X732LScMr+MlFM/jnsq0cOqoq01KKpS2opAC1R60A2XaceMKk3H52nLFJEroOSlGUAYZWktgPfvPCSr5471sdzt/32jqWbt6bcS4SS/DAm40dyvAv2biXfy23C26bwjGawlFi8QSfuWsh9722LmUpuV180VjaanILTbKdbW11iEE5Lj7dEkBRlEJGBaqHrN7ews2PLsEYQ2t7PCUKW/eG2d7cDsB3/7GYvyxsBGDBqh1EYgleXL6Nr97/Dks27eXx9zZxzi9eJJEw/Pq5Fdz0sA2T2XiSSVUgb43EU7GkaNwQjaXbSWvKnS6eFijjGpfI2PIdrIvPGBufUhRFKVRUoLqBMYYXPtiGMYZnl27l9hdXs6MlkuFq++r97/DtB9/DGOtii8QSbNrTxsW3LeDxxZtT4hGOxlmyqYn3NuylPZYgHE3QHnXFmWIJlxAlPGNQ7rbbgmpxxMqdxZe93QZYFx/otu+KohQ2KlDd4M11u7nijtd4c92uDiKRfL+zJcLOlgjxhMEYe72l3QpGczjmcrmlt8ZIClzSddfuuPEicQ+3nttt58rSy7Cg2uOpcR0W6roEKrXtu2byKYpSwOiGhd2g2RGapnAsnajgWEnRuF1/lBas9EaB7am+cfzOT4GIO9khdY9MEUqnk2eKmVu4kudb2jtaUG7LLhxNYAwZMaiSkLPtu66FUhSlgFGB6gZuQclI9U7GeRJpyyezbzpm5I+lExw6CFIqZdxkpJBnpJO7LK9MF19aZNpcSRKxlEDZc5mljpIuPo1BKYpSuKhAdYMMKybW0aKxCQw2dpQrLdznuNii2RaUIzbxhOlQV89tkWUKWfp8i1cMKpZOkkgKmKeLTy0oRVEKGI1B5SAaT3Dhb17htdU7MyyXjPhQltC4XWvZ1pa3sKXdhBnXvVLLM9yHxmVBudLM2zummTvZ6KkddSEtUFpNQlGUQkYFKge7WiO8tnon76zf7Yolud1zmS63pAhlu+uADsKVPN/ujiVlWD/eiRFeMajW9rQV5I5BJddJJckudQSaxacoSmGjLr4sIrEEfp9kJDukRcLkjEd1sKDcllIsXQvP3cdtkbmtn1zCFvVw8bkz8do8FuomCfhdSRLBpItPBUpRlMJFLagsPj7vZX72zPIMK8c78SFbSExmQddst54rScJtZSXXPCUzBbNTxN3Pi7oEr1MLKuYhUOriUxRlgKEWVBbrd7bSuKvV01Jyi1K7SzzCTg28jokM6bY/lSRhsgQo08XXwQpzuww9XH8tHjGohCG1+DeJP8PFl0wzV4FSFKVwUYHKInttklcyBGS55yLeC2TdYuZ3ufjcIpZsJy2oqGv9VIfqEbH0FhpeC3VbPMoeJXGnmauLT1GUgYC6+LBismJrk207AuEWiYiH6LjbSXGJJUxqg8FMcTGeItfuaierTiRMepNCrzgXZJU3au9YLNa2M1PIA66Fun6fEPL7CMdUoBRFKVxUoIANu9v4xl8XORUhTAch6qoeXos7DtSeLtjqriThlXSR6x5payqz6KtXanmbRzXz7DZkxqAAioK+1CJeRVGUQkRdfIBPbMzGqwae2yXnTguP5BSomKtv2vIK+DsmSbRF46l1Shkli1wJExmLgT2qR7jdeu55ZAuUP0ugioN+FShFUQoataAAEemQnBDNYUGlxCqaFqBmj3p4XiWMkuc7EzbbjneYR67qEbksqJYsF1/Qn/lXXRL0E85KpFAURSkk1IIChNzJENlp5pGUSHiLS2a6eHpcMknBbZFljPO4X7ISeWfjMhMjOtblS9LRglIXn6IohY0KFNaCao/Fc69hyrCg7Jd6ZqJCR3HJrEqeIBh3BCpmUiLX7OHWg0wrzGtRr7uv2wrychMmyY5BFQf9ug5KUZSCRl182BhUroW1kVi8w4JcSFtKkG1N2S/9WMLQHk1n42XeO+707biXk/seGaWTXCWQcgmL+3xbNE4okJm550ZjUIqiFDoqUCQtKG8XX641Uc3hjqJk227hcpUvSmbjuZIncrnqWjLS1t3roJIWVNfCEo0bypyKEZBZ6giSAqUxKEVRChcVKEAcCyopBu1ZFo93FfGOcafsdiqWlL04N57w6Bv3vEdrRvmijsKWJOiXDueSFSPAw8UX0BiUoiiFjQoUNkkiljCpL+xIrniUy93nJUSQmWGXWs/kssLCMVsWCTLjWF25DNtdwubl4isO+DucK3VZUNkuvpKQuvgU5YBg9zpY/jS0bM/3THqMJkkAPrFf3s0eFk/2WqR0okLnSRLutk2SSApbDlHKFY9yWVC5CPqFYMAH7ZnnS4sCrj5ZLr6AuvgUZdCTiMMfPwHblkKgGD71BIycke9ZdRu1oLAuPsidIu5VVcIrtTz7vFeyQ2sXYgZZqePdiDcF/T5PF19ZJxZUcdCnWXyKMth5969WnGZ9G3xBePU3+Z5Rj1CBwmVBhdP18JLriNwLeN2VHzLjRN5Wkdsi62pxbq54VNJi8yIpQEG/L6PWXhK3i88rzVxdfIoyiInH4LkfwPBD4aSvwmEXwuIHoHVnvmfWbVSgSFtQTWEPcYnlWCDbHQsqtZ7JeMaumnPErrKrQOSixEmCCPollVLuFiV3koRXmnl7LEEia+ddRVEGCRsWwq7VcNKXweeDmZ+CWBje/lO+Z9ZtVKAAwX55N7kEo8nD+smwmqK5YlAd92eKJ0wq3pMpROl23CUUJksz3OLibpcVuS0occ4FOlxP9nFT7Gy50d5JbEtRlAHMymdBfHDw6fb9iOkw4lBY/mR+59UDVKCwC3UBmsLR1Lmkuy9XerdbRNxGiNsl59V2C1G8m9aLO5ZU5mEhBfySEiD39ZJgZxaU7a9uPkUZpKx8FkYdBSU16XOjj4MNb9jkiQGAChSuJAkPF1/CpNO68+UNy7SK0u1ylwWVTJJwu/WKg77UZ8uOQSU3LdQ9oRRlENK22wrRhA9lnm84GiLNNnFiAJBXgRKRM0VkmYisEJEbPK6LiPzcub5IRI50XbtDRLaKyHtZY4aIyFMistw51mTf1+M5QFZ8KOzd7ktCfu/SRJlxpY4WVNDnS1lQ5Vmp5cl7+v0dY1Cg274ryqBk9QtgEnDQrMzzDTPtsfH1/p/TPpA3gRIRP/ArYA4wFbhERKZmdZsDTHRe1wC3uq7dCZzpcesbgGeMMROBZ5z3XczFHnMlMHSWSZd0lbnxdcz47vR80ropdcWMynNYTe52UqyCgbSLryTkjjtJSqCCvuwYVNLFpzEoRRl0rH0JgqVpQUoyZAKUDFGB6gbHACuMMauMMRHgPmBuVp+5wN3GsgCoFpF6AGPMC4BXvuRc4C6nfRdwXlcT8SWTJDxcfF64RSkpJO7CrG4RyTjvcr9lxJWc/u7r5R5ClN0nFYPy+VLbeRQHfSnrK+j32QW8eGfxgbr4FGVQsvFtGHEY+IOZ50Wsm69xYX7m1UPyKVCjgPWu943OuZ72yWa4MWYTgHMc1tVExCtJIkug3O63TPGw7ZKgP2UhlRd5C03uWJJzjxyuvAxh88jSC7lceaGAP9UOuM57rYMCCKuLT1EGF4k4bF6Uu2JEw9E2BtXe1L/z2gfyKVBeDq/sNITu9Nm3h4tcIyILRWTh7l27gExRys6wc6dse7nZQgGf51qkzHHeLrxk/6JAWlAynpEjdTwpaAG/pCyooF9SCRO2BJLgE/CpBaUoBwbbl0O0FeoP974+bIrT74P+m9M+kk+BagRGu943ABv3oU82W5JuQOe41auTMeY2Y8xMY8zM2tohQKaLL5sMy8XDFRfyeycqlBelTexM0bEC4fdJSmjc2XgZlpdXYoRfKAq4x/lS80gKZfK8V5WJVBafxqAUZXCx6W17rM9hQQ2dbI/bl/fPfPaDfArU68BEERkvIiHgYuDhrD4PA1c42XzHAXuS7rtOeBi40mlfCTzU1USSWXytWe4ud/yoPIcVU+qKQRUFOlo/5UU5XHUuoXGLSzB1D++KEEmxCvh8hPyuWFPKxZduB3w2SSI7/gTpOJpm8SnKIGPj2xAogbpJ3tdrxoEvANuW9eu09oW8CZQxJgZcDzwBvA/cb4xZLCLXisi1Trf5wCpgBXA78IXkeBG5F3gFmCwijSLyaefSLcAZIrIcOMN53ymSI7uuq/hRwCcpUXILTWnOmFFHyyuYET9Ki0uuihBlRR2FLdOt53Odt9ZUdvwJ1MWnKIOWTW/bihH+HJtV+IM2m28AuPjyut2GMWY+VoTc5+a52ga4LsfYS3Kc3wGc3pN5+FyhLr9PUvGn8qIAO1sigLfQZItL0uIqzxGv8jpfFEhbTe60cK9EDPd5t5gF/b7UjrlBLxefR6VzXQelKIOQRBw2LYIjLuu8X92kASFQWkmCTAsqVwaeW1zKQ2mRyBYDSBdxdfeFrkXOLS65LKhSd/WIQDJbTzytsIBjWfk9YlBJF5/W4lOUQcSOFRBtyR1/SlI3CXaugni08355RgXKwctyKS/2Toxwi0vSteZO9c6VjedlTVmRc9xzgfT9SoL+lHCWesau0jGokKtYbMgvrtiUEAr4PV18Ib8tg6S1+BRlELHRSZDoalPCoZMhEYOdq/t+TvuBCpRD0nKpKPa2oDzFxZ3gkOWqS2fjdb6eyW1BFeVIdijzWB/lLhAbSO6oi0cMyi+eSRIiQknQry4+RRlMbEomSEzuvF/dRHsscDefCpRDURcC5SVWbhdfyO+jyCMe5eWq80k6zdsrqSHZTt6v1OvZ2bGmpAWVkcXny7nbLjibFmqShKIMHja9Y7fVyJUgkaR2YAhUXpMkConkl32xUxEiYbJcfN1IkggGOmbS5RoX9BAzd029lEXWnrWFRshb2LxELhQQTp8ynIOGlnt+5uKAT9dBKcpgIZGwCRKHX9x13+JKKK2D3Wv7fl77gQqUQ9KCKnIEIxxN5E6S8BCa3Bl9XVle7nVQ6TJFIVfiQ6k7KcOVWu5uB/xpS85tQX38qIacn7k45E9tJaIoygBn50qINHUdf0pSMw52renLGe036uJzcLvLUgkOHjEjv09SGXAZQhPIqubgYUGVe9bOSy/wDQYk020XSBeAFfGuEgFJV17axZdMuvBKL3dTHPDTrgKlKIODjV1UkMimZqwK1EDBLTQhp4SQ28VXmqvyQyfrjyB7N9zO09ND/iyhyUqYyFycm9nXy93nLnDrRXFQXXyKMmjY9DYEimHoId3rXzMO9jRCvH/2u9sXVKAcknXtQn5XySKXuCSTJzKsmEA6W68o4O3iKwr6U1l0XjGo7rSTFpdblIIZmXvZVSXS1cw7ozioLj5FGTRsfBuGdyNBIkn1WJtqvndD385rP1CBcvAWl46uOre1UkULtRFbu7YqsZtqbPn62S9dzNkRWyCjZvsblPmtlZJZBUI6PC/DanIJpdt68nJFuveDyq7F1xklQb+ug1KUwUAiYTP4uht/AmtBQUG7+bolUKnkSQMAACAASURBVCIySURuF5EnReTZ5KuvJ9efFAU7ioRbEFLxI59QRDsAF+z9Ix9+w5YNPG/19/jYxv8FDDV7ljA+vpYR7GDCPz7Gmf7XgMwMPHd6uruOnldMK+i03VZaMCP7z1vY3MVuvShWgVKUwcHOVTZBorvxJ0gLVAFn8nU3i+8vwDxswdZB+Y3mZUGVmLBTlcEwZMM/AR8fllc57N6rKOFnVJldFEfspr4V0e0EpJQiogiGUtqpkWYA6nzNVAUiVLzxa3xM7JCNlxKUrBhTKMuF1zFe5Vz3ufaDcllnXVlQRRqDUpTBwaZuVpBwUzkKxD/wLSggZoy51RjzmjHmjeSrT2fWn7Ru5yNNDwAwee8CxrOBEsKc+sjJzJEFzJRlDHnocmbKMsawBX+0iWpaKDbtBGKtgCGYCBMyYUoJA1BCOyWOpVUu7XzI/y6lz3+P6bKaGmlmyA675XKuBIfytg2U+mKU0Ubo/ktp8O3gULOU0l9Mo5IWiogxLNDGpOHlHFJf6XmPrmJQJRqDUpTBwca3wF/U/QQJsLGq6tGDQqD+ISJfEJF6ERmSfPXpzPqT8B6OaXoGgNkr/4vz2h6ghmYC0WbG+LZQLS0A1PhaKBMrQKUSpsS0IRiKiBKKtxFKhCl1RKmYMKVi22W+CJU+O65MwpwZfpzJj19GiGhHt15A8BNn8t/P5MOtj3KIfyPyweMcZpYxwaxDmjczQnZy6u6/UnbHKTz5lVOZMbqa4ybU8umTxjPVJVZdZfGVhrTUkaIMCja+DcOn2a00ekLNONg18F18yQ0Av+E6Z4AJvTudPCF+ik0bAKFYC+WBVkokaf1EUqJT6Y+kRYcwRcYRK8IEEq2ERFLjik2YMpKi1E65LwJx27eSZsTEKCXM+Lb3GLO5DRhKVXgDNfE4pbTjjzYzJLGTCl+tnYevPXW/Kn+E2ugWm32TiIPPT1VJkG+fMxWACUPLGFVd0mUMKmlBGWNSmzYqijLAiLXDhoUw89Nd982meiwsm991vzzRLYEyxozv64nkFfFRlGjDR4JgIkxJhriEqfRZ0anwtafEqlTaCSXSfYLxMAZ/6nqRCadcfKXSTrkjXJW+aMoNWEo7x23+Ow3tK4FbmPnaVxgVGsvvOcu5HqbSb8dV+aNU+ezeVKPLE1QFbJtoK6x6DiItqRInc2eMYu6MUV1+7OS2IOFoIpXAoSjKAGPDmxALw9gTej62ajS0bINoGwRLen9u+0mnAiUis4wxz4rIBV7XjTEP9M20+hnxEUqkBaXE5Z4rlXbK/VYMKn3tLnGxMSeAIU56eTDemhpXZFz3oJ1yx8VX4bOuQXvvMMWJVvzxVjumfQdlUpEaV2LCVPjaIQHnTa3CH/XBG/D9sycQWrwQNgORVnjtNmjb1b0aXC5Kktu+R+MqUIoyUFn7kj3ui0BVj7bHPY3pCucFRFcW1KnAs8BHPa4ZYBAJVGuG9ZMUojIckTBQJpG0VUTagqqTPfY2GKqxmXtFiXAqXlVCO2ViRa7cn32PNifRAgLxVkKJttSzD6qC80dXw7tQHYhAPO0+JGrjYkSaob3ZWlAAy5+G6jEwdFKXHzspSpoooSgDmLUvw7CpULoPaQFVSYFaP/AEyhjzHed4df9MJ0/4fPhNjConLbw40ZZ25RGmXMJgbByoxBGPIcEoIcfyqZW9qVslxSqUCFPpuORKSMePqgORtPhJmKJEK/5YK+ccOhz/ihZqKqJcdmQtLLZ9Z44sgnexrryIS5RS7Zb0C+Ch6+DgD8N5v+ryYyddfG2Rwi11oihKJ8RjsP7VHntPUiQtqN3re29OvUi3K0mIyNki8k0RuSn56suJ9StiLYmhjrgUmTZKHeun2GX9NJQmqArYLZK/dupIgo4F9W/HVKZuNXuss22HCXPOlCoARpcbpg21z7hgWg1jKgwAXzixPiVivzxvPGLihBKtXDqjzt4skkuUXOejrZnXwnugfa8NnP76BFjxTM6PndyTqi2ia6EUZUDS+Jr9/z/2xH0bX1EP4rMWVAHS3UoS84CLgH8DBPgEMLYP59W/iP1jGErS+mlLWTwlxrGggFPHlzGyxH6ZV5m01TQm1JJqnzzSuWUiwvhy6zqrCUYZXWZFqa4oTihuY1AnjynBH3PGNm+xx/Zm+w8OHMvI3W7xOO9y8cWjEGuz51q2w9bF6QV8HiR3521VC0pRBibv/c3uoDvxI/s23h+EipE2BlWAdNeCOsEYcwWwyxjzPeB4YHTfTaufSQqU7AYgFE+vZxpREueokUW2X8QlHi1b0+NbtrnaHuc7WEIu0Wl32kmBirTY/qm+rR3vEfUSK5N+XnsztDelr+egOKgxKEUZsMRjsPhBmHwmFHlvStotqkcPeBdf2Dm2ishIIAoMntRzx8WXjB/5iFPnc+JRJszQkGNhRFqsSw2g2S1K7vb2juczrB+X0IT3pBIfaHaELdZmXXQdxrW4EiNc51t3gHEEpmmz67ojfEkB9CBpQeliXUUZgKx+Dlq3w/SP7999qhpgz7pemVJv05NKEtXAj4A3gTXAvX01qX7HsaDqHBcfwNyJzorsDuLiCFROC8qjnZHg4Lqf+x7Nm13tra6+Lldeclx7k0so3fdIWmFNLgsqt0CVqAWlKAMTY+DlX0JxFUw8Y//uVTUa9m60i/4LjC4FSkR8wDPGmN3GmL9hY0+HGGMGT5KEz/4xjPCn40pDjHX3ZVgu7U3pttuCyhCJbR3bGSLX7G2FZdzDaUdzxKDcVlpSlCBtQWW4+JrtGqkHrsl8Bu4YVByeugl+Nxse/XqnbkFFUfqRDW/AO/fB+tcyBWTR/bDqnzDr2xAo2r9nVI+2+0I1be66bz/TZSUJY0xCRH6MjTthjGkHJ0AzWHAsqJPr43bxK6S/zOPt1hUH1pxO4rZ+Wnek2+1pK4yIIxImbkUCMi2sDKtpi3c7wwrzsJqaPMZlu/g2vAGL/gxDJsBpN6S6FzsCVbfpOXjnZ7bQ5Ou/teJ2/jzQ8keKkh9ad8KfL4e1/0qfq2yAKefYxIbX74BRM2Hmp/b/We61UFVdV6DpT7rr4ntSRD4mg7VgmyNQmXEltwvPESa3uMTC6Tam62ckxcrLUoLcApXs487uy9U3+Qso3p4WxEhzWmDf+qPd2MyhJOinhDAnLr0Z6ibD516A026ERffBa7d3/ZkURel9Ii3wpwuh8XU48xa47jX4+B0w7BB4827r2pt4Bnzi9+DrhQowVYW7Fqq7xWK/CpQBMREJY1PNjTGmsvNhAwQnSSJDgNxWUVIYEp2lY9t9owAIFLsEzHUeILw73c4pVh7i6LbM3JZcLpFr2uTMvQXCjutyzzpY8wJMOA2wW3NcHHyBivYtcMnvravglG/Y1PTHvgkl1XDYhZ18ZkVRep2nbrJejwv/YC0mgKGTYfrHbOZepAlKanrvedUuC6rA6JYFZYypMMb4jDEhY0yl835wiBOkLSjTzSChuH61lDjlRYor0+fLhqWvl9bmvo9bBL3cernmZFwLa70sKHe7vSmdFRgsg4W/T/dJxLna/xjry6bDOGehn88HH/89jD7WxqMURek/tiyGhXfA0Z9Ji5Mbf6B3xQkgVGa/xwaqQIlIh3IEXucGLCLgDyXfpM+nzgEh1zqDsjpXe6g9BsvsX3Su62AzbjJwWVZJlxx0FCW3IPqy9nuJu8KBXmIVabEuPvHDMZ+BJQ/Btg/stWWPMYYtPD8ky0oKFttySe177OJfRVH6HmPg8RuhqNK62vuTqoaCdPF1KlAiUuxsTFgnIjWuzQrHASP7Y4L9RrDUHt3iUj7c1XZZRW4LKSlAIbdAuUQpQ6xc47r6FVTkMlDd93PPI1SROcbTxddsXXzFlXDCF21J/Rf/14rWE//BBhnBwhKPKsjJhX/JbEBFUfqWZfNh9fPwof/Yt8Kv+0P1mIKsJtGVBfU54A3gEOe40Hk9BHRdjbQLRORMEVkmIitE5AaP6yIiP3euLxKRI7saKyLfFZENIvK28zqrW5NJWkhe4pN9vtw5L34bpwEIlXqLXIa4uATPfb+kGAVc+7FkjBua47zrHpAZI0taULGwdSUWVdp5Hf0Zm9H36+NhTyP/W/41mqMeuS/JP49O1lEpitJLxNrhif9nk5V6IzOvp1SNti4+042Er36kK4F6GTgB+LoxZgLwPeA94HngT/vzYBHxY0VuDjAVuEREpmZ1mwNMdF7XALd2c+xPjDEznFf3tov0cs+Ve4gSpMXFbTUFy6xIARRVgL+o83uUewhhRt/hOdrDOrZ9wUyLCzKFpWlT2r34of9n106IH2bfzLrS6YS9FuqmLCgVKEXpc179DexaDWd+v+fbtvcGVQ3pNZMFRFcC9Rug3RjzCxE5BfgBcBewB7htP599DLDCGLPKGBMB7gPmZvWZC9xtLAuAahGp7+bYnpEUmuIqm4UHud16SaEJuqymUGna6giWpsUqpzXl3C9QYt1vHZ6dy3rzELai8vT8/R6L9vZuSAtUsBhO+Tp85V047vOUBP3exWKT7kO1oBSlb2neBi/8CCbOtrHffFCgmXxdCZTfGLPTaV8E3GaM+Zsx5tvAwfv57FGA+0+j0TnXnT5djb3ecQneISLdS3lJfsGHXF/2OYXBw4IKlWWKVdAjHuVlIRWVp4Ut57M9xEp86QxB97gKl7WVTPjYu8kjQcNSEvLTFvXYbkNjUIrSPzz9HbsQf/bN+ZtDarFuYcWhuhQoEUmulTodu7tuku6uocqF16LfbAdorj6djb0VOAiYAWwCfuz5cJFrRGShiCzctm2bS2hc4uJlrbjboVJvF5+7XeYhbOJLB0GzRS4VC6tLf0wvF59blDIEqr5j30S0owvQoSTo996wUGNQitL3LHsM3v6jTWDK54621WPsscAy+boSqHuB50XkIaANeBFARA4GV2XVfaORzC07GoCN3eyTc6wxZosxJm6MSQC3Y92BHTDG3GaMmWmMmTl06NAskXDaJUPSa6SSX/b+kMtdVubt4nMnTLjXQWWIi4fV5BaoDLHKlTXoXHdbYWVD03OuGJEel8OCKg35vYvFagxKUfqWnavh4X+D4Yf2f1p5NqW1NtwwkFx8xpibga8BdwInGZNK8fBhNy/cH14HJorIeBEJARcDD2f1eRi4wsnmOw7YY4zZ1NlYJ0aV5HxsUkfXeFkjXiKRYfG4LSiXKLnXRBWVu7L7hqX7ej6vPC0M7ud4ZfGFXFZahlhVpNtua6rY24IqDvptsdgOfx4ag1KUPmPbB3DnOTbz9mO/hUCo6zF9iYiz7UZhCVR3isUu8Dj3wf4+2BgTE5HrgScAP3CHMWaxiFzrXJ8HzAfOAlYArcDVnY11bv0/IjID6/Jbg02V75qghwWVbLfvTVs/bvHJFpqkl9FtQSVjU7Fwplsv6CEuGc/2iEcFitOWUHbf5KLi5Lj2vd22oDrP4tMYlKL0Glvfh7fugddus/9Xr3jY1tgrBApw48L9jSPtF04K+Pysc/NcbQNc192xzvnL92kyGaLjEoyU9eMRd8pOjEiWIHJn8SXjUfGIt/sulGVtZczDuUdJtRWgbEEMugUq6LqHhwXVSQwqGjdE4wmCfpdBHSiy6etqQSnK/hFtgzfugrf+AFvesy74wy6CD38vK6kpz1Q1wOZ38z2LDPIqUAVFhuXitm7KwBewR38oU5SCWS6+pAc0VOYSDyfpIhbxto6KKrIstgpXO0soO7gfXcKWLIHkdhN2w4IqSe6qG41nClTyvhqDUpR9Z+Wz8OAX7FrEUUfBnB/BtPM6LrIvBKrG2Dqg0TZbcaYAUIFK4mXRJAUoWGZ9tMm2l4UVKiPl4nMLV6AkbUEFSwDJHT/KJUDJZ2a7Dt19kwLljkGVDydVTT1HDKrEte17ZXHWAsFQRc8tqD2NsGMFjD7OrrlSlAOVBbfa2npDJ8MFt8P4k/M9o85JrYXaAHX7u4qod1CBSuKZSVfuIRRZVlNyIW5prc368wXtr6Ohk2HoFFsdPFhqi66KpMXLM+7k0fYX2QrGyfeefSvS+8J4JUxEmjqNQYEVqA4UlXc/BrVjJTzyFVtLDKxL8aQvw4lf7p09axRlIPHm3fD4DXDIOXDBben/q4VMai3UOhWogiPbrZc8V1qbThWvGQvVY61lMPsHdtOwuolw9WPWYhCBry6xAnXMZ+0L4IjL01vFF1da4UhZQllWU1FWnMpdPilUZmNN/qKO43yB9P2KsgQ20tRpDArwTjUPlXfPglr9AvzxQpuJNOvbMGyK3Rzxmf+ENf+CS+/PT/kWRckHi/8O//iSrQrx8d/nP0Ovu1Q12GMBJUqoQCUZd7IVkuHTbKXx0jrrkvvw99Jf0pf9JS0Ex38hPXasqxq4l2/58IvS7fPn2V8qJTXW/Vc5KjM2VTIEECsoR3wS6mfYax/57/SX/Fk/goaZVrTAJlEk419FWfGtonJoBoqrPT92Sch+Hs9U86Ly9GaHudi+wm5NXTMWLn8QKp3EjMlnweu/hflfh39+Hz78nc7voyiDgeVPw98+a/dTu/APA0ecACpH2gSOAqomoQKVpKwO5v7StmsPsi9If+FC75jpE05Lt7/4pk0hb9sJY46HEYdasRs62aakjz0hLX5jj0+PO+rKdPvCu+HgM2D5k84cKzq6+CB3DMqxoDxTzUPlsDd77bSLSCv8+TIr2pf+OfPPSsRakJvfhX/9Hxz0IRh/Su57KcpAZ90C+PMnbdr4JfelvR8DBX8QKkYW1Fqobm1YqPQRlSNtfKl8GHzqcZt1FyqDcSd1/x5T59r/CONOhiOvhPrD0vGmpEAFS3O62JIxKG8LqqLzLL7Hb4Bty+xCw5px3n3OvAVqxtv4VDTc/c+lKAOJ9a/BPR+HqlHwyb+nt+EZaBTYxoUqUIOFslo49+fWLTnjMps1FCyxbroc8SeAsiJrRLe056jHF8mRJLHiaXjzLjjxS9Y6ykWoFM7+sc3se+mnPflEijIwWPks/OEC+0Pzyn9kVn4ZaFSPtkkSBYIK1GCkahQc5mzjXjfRugxzUO4IVJOXQCXXQWVvYhZphUe+CrUT7e6fXXHw6TDlo/DKr+xOvooyGEgk4OVfWMupegxc9Yj1igxkqkZbt37Cw6OSB1SgBjtn/Bdc8VDOyxXFVqCawzksKBO3ZZrcPPcD2L0WzvmJrTjRHU7+mi2/9Mad3Zy4ohQwexrhD3PhyW/B5Dnw6ScGvjiBtaASMbuwuABQgRrsiNhXDooCPgI+obk96nHRyRJ0x6HWvmJ/NR51Vc8WHo48AsafCq/82m5vrSgDlcUPwq0nQOMb8NGfw0X3pP+vDHSqx9rjrrX5nYeDCtQBjohQXhzIbUFBOg7V3gwPXmvdGR/5754/7MQvQfNmWHT/vk9YUfJFrB3mfwP+ciXUHgzXvmgzajv5ATjgGDLeHnetyes0kqhAKZQXBXLHoCBtQT11k/1ldd6t+/aL8aBZNpX+5Z9b/72iDBR2rYE7Ztsq5MddB1c/nl6KMpioGm3XQqlAKYVCeVFXFlQzvPcALPwdHH8djDtx3x4kYksfbf8APnhs3yesKP3J0kdh3imwYxVc9Ec48/sDawFuT/AHbaq5CpRSKFQUB2j2tKAcK+ndv8ID19hyTrO+tX8Pm3qe/ZX26m/27z6K0tdEw/D4f8B9l1rX1+eehynn5HtWfU/NONi1Ot+zAFSgFBwLKtc6KLCW0/BpcNn9+1+G3x+wC4pXP28LzCpKoWEMfPAEzDsRFvwKjrkGPv1kOj4z2KkZpxaUUjiUFwe9XXxVDTBsKhx/va10kaMieo854pMgfk05VwqHSKstbPzP78Ovj4M/XWjTrT/5gK192d3lFIOBmnF2X6gC2AtOa/EpnSdJfOGV3n9gZb1dO/L2H63L8ED6z68UBsbAhjfh/Ydh7cuw8S1IRAGxdTHn/toudj8Qq/DXOJbi7rXWc5JHVKAUG4PysqD6kplXw9JH4P1/wKEf799nKwcukRa7zGHhHbB5kS10PPJIOOF6K0wNR9tCzQcyybqau9aoQCn5p7woQFs0TjSe6Ljte18xYZZdFLjw9ypQSt+ze51NEX/zbltua9g0WyPy0AtzVvo/YHELVJ5RgVJS9fha2mNUl/ZT+qzPZ6tRPPM92PYBDJ3UP89VBj9tu2H7crucYfsyW/2k8XW7vmfquXDM52DMcYNrgW1vUlJj480FkMSkAqVQ7tTjawr3o0CBTZb45802WeLM7/ffc5XBQ7TNbnWx5kW7H9O2ZdCyNX3dF4QR0+G0G+GIy9K7xiq5EbGFoHcsz/dMVKAUqHAsKM9U876kfBgccg688yc4/SYIFvfv85WBR9tu2PSOTWxY86K1jOIRmxVafxhM+gjUTUq/qsfapQ1Kz6ibCKuez/csVKCUtAXV7wIFNlliyYOw5CE4/KL+f75SmBgDzVtg0yKbzLB5kW0nF5CKD0YcBsd+DsadYl12GkvqPWoPhnfuhfamvBbCVYFSUjGofs/kA/vlMmQCvH67TevVuMCBSSIB2963ltHal2zcqHlz+nrNOCtIR14O9YfDqJkDd9fagUDdRHvcscLuRJAnVKAUKortWg/PtVB9jc8Hx34eHvuG/XLa1zp/ysAiHoPNjqsu+QrvttcqRsK4k6BhphWlEdN7b5G40j1qHYHargKl5JlONy3sD474JDz/Q/jX/6lADWZad9oSQksfgVXP2SLEYC3oKefA2BNh7Ak2bqSWdH4ZMgGQvCdKqEApaRef16aF/UGoFI7/AjzznzYAXn94fuah9D7xGKx4Ct78A3zwuN2huWIkHPoJu+HlmBNsZRGlsAgW233ftqtAKXmmNORHJI8WFMDRn4F//RRe/D+48K78zUPpHXashLfugbf/ZGNJZcPsVi3TzrcuI7WQCp+6SWpBKflHRHLX4+sviqvg6E9bkdq+AuoOzt9clH0jGra17d6826aAiw8mfgSOvMIeD8S6dgOZukm2gG4iDj5/XqagAqUAdi1UXi0ogOO+AAtuhed+AB//XX7nonSf5q22tt3rv7VVsGvGwaxvw4xLoXJkvmen7CvDp0KsDXauSmf19TN53W5DRM4UkWUiskJEbvC4LiLyc+f6IhE5squxIjJERJ4SkeXOsaa/Ps9ApjzXpoX9OolhcOKX4L2/woqn8zsXpWs2vwsPXgc/mWZ/VIw8Ei7/O/zbW3DK11WcBjrDp9vj5nfzNoW8CZSI+IFfAXOAqcAlIjI1q9scYKLzuga4tRtjbwCeMcZMBJ5x3itdUFEcZG84T0kSbk76qk1xfeQrdpGgUlhEw7D473DHHJh3Eix+wLrwrn/Dbmh50Cy7dEAZ+Aw9xFbo2LI4b1PIp4vvGGCFMWYVgIjcB8wFlrj6zAXuNsYYYIGIVItIPTCuk7FzgdOc8XcBzwH/3tcfZqBTUxqicVdrvqdhs4fm/hJ+PwfmfxPOvzXfMxo8JOI2tdsXAH/IHnMlKxhj69zt3Wj3Bdr+Aax8Fla/aN0+NePgIzfb+nYl/eeksF8FdnoAxnU+3U5ey+zb2bXO7oPHGHf/zPGuvq7n9pge5pBIDwd0L0dFqB4ykcSGRTQ1t/fw/t2fj29X7qK0+RSoUcB61/tG4Nhu9BnVxdjhxphNAMaYTSIyrDcnPVipKw/xTuPufE/DMuY4OOUbdm1Uw1E2w68/2L3efhG37bKvsjoYcpBdE1JU3j9z6A2MsaKy+T3Y8p510Wx+F/asB5PI7OoLYsSHEb894kdMFF8sjI/MvjuKGlhWfTaLy47j/ZIjaV8jxFauJBo3ROMJ52WIxRNE4oZ4IkHCQCJhSBhj28Y470mdM8YQd84b53zcdS1hIJ7Yn297ZV/5aXAIR29/gxP/u29c7lNlDQ+HvpXzej4Fyktis/8V5urTnbGdP1zkGqzbkDFjxvRk6KCktjzEzpYIiYTB5yuAFOBTvgkb34ZHv2Z/yR9/fd+kJrc3wXt/g3f+DOtezt1v6CEw/hSY8lG7diefBUjDe6FpE+zdYC2cvRud9ibiezbArrX4o9Y9ahC2BBtY5R/P2tCxbIuVEo3FSMQihCRGkBg+Evidl48EUQK0EaLNFLPFVLOBoWwN1LMrOpTAbh+hJiHg30vQLwT9PoJ+HwGnXRz0ESwOEPD5CPgEv08QAb9P8Ilt+0Twi+Dz2V/aPudc+gU+n6vtHBFrJyT/GSSthvR7Vzvr34p7jLt/9jX3e/d9OvZ1Xcu6H64x+/JP1vRQi3ss3T14wOjVxzDqg5e5ZU4DkVD3qnl0+/YmwZzXbiHaWgV4/zjOp0A1AqNd7xuAjd3sE+pk7BYRqXesp3rAVXs/jTHmNuA2gJkzZx7wP89qy4qIJwx72qLUlPXjlhu58Afgonvggc/Ck9+yls2Zt0CorPee8cGT8I8vQdNGm1I769u2mkHpECiqtBlpO1fa/aoaX7eLTV+7DUqGwCFnwZRzYcJpvb9lfSJuRWfXGlscdedqm0m1azXsXAPtezoMafJXs9kMYU20mo3mOJaaMbyfGEtjcCzVJTUMKQ1RWRKkKuMVoLIkSFlRgJKgn5KQP+NYGvJTHPRTFPD1yGWjDCLqToYPfsrFY/bC+F5eQP/GXbBnEZz/G/jWJZ5d8ilQrwMTRWQ8sAG4GLg0q8/DwPVOjOlYYI8jPNs6GfswcCVwi3N8qM8/ySCgttyK0o6WSGEIFEAgBB//PfzzIHjxx7ZMzmk3wBFX7J8Fs2UxPPbvdq3O0ENsSvuY4zv+3K2st1s4JIm0wIpn7FqfJQ/bhaihCpg021ZFqBptV99XjrLVMbKJR63FFmmxsaBIi3Ul7t1g3XE7lsOutbCnERKuhBVfwN63Zjw0HE2iagxLmst5eDU81ehnQ7yayvIyjhxbw6Gjqpg6spJja0qoryqhsjig4qLsO8mqLhvftP/Ge4uWHfD0d+wPwsMuAgpMoIwxMRG5HngCCaxAKgAAIABJREFU8AN3GGMWi8i1zvV5wHzgLGAF0Apc3dlY59a3APeLyKeBdcAn+vFjDVjqyq0VsKO5nYOHFVC8xeeze0VNnA1P3WSz+17+JRzzWTj84p4F6KNtdnPEp78LoXJrkR11dff3oQqV2R1Zp54LsXZY/YIVq6WP2tR4N8XV1hKLxxwxarb7FuW8d7m14kbOgGnn2Xp0NWNt/KuyAfwB9rRF+cvC9fzhlbWs3dHK8MoizjtxFB+ZNoIjRlcXhmtWGVyUD7X/Bte9Cr1ZJvPpm+yPtbN/3KkfVExPHZ6DkJkzZ5qFCxfmexp5ZenmvZz50xf59WVHctahBVobzRhY9pi1pjYshEAxTLvALggdc3xuqyoetQtJn/8htO6Ag063boXyob0zr0TcWkF7Gm2ixZ71NkbUtsvu6FpUbsUtVGGPReVWkELltoJGxQhrfXmkZxtjeGPtLu5fuJ5HFm2iNRJn5tgarjpxHLOnjSDo15RupY/5++dh+ZPwjRW9EwdetwDumG3XPJ7xnwCIyBvGmJnZXbWShALYGBRYC6pgEbGxn0POspvXLbwD3v2r3ZE3VAFjj4eGY+yXfrDYCsTal2HdKxDeA+NPhVO/ad0Kven28vmtC656DIzdv1sZY9i8N8wba3exYNUOXly+nbU7WikL+fnoYSO5/PixTB+lW08o/cjoY+z/sZ2roPag/btXPAaPfNV6BU7tevWPCpQCQE2prZO2vbkTN1QhUX8YfPSnMPv7sPwJ625b/aL9peem9mCYOtcmNBz84YIpUrqnNcrqHS2s3dHC6u0trNlujyu3taQqepSF/Bw9fgjXf+hgzjq0nrIi/e+q5IExx9njugX7L1Cv3gpbF8NFf+xWwpP+i1cACPh91JQG2dFSwBaUF6FSWyF72vn2faTFxpqibRAssWuZ8kh7LM7yLc0s2bSX9zftZcnGvXywpYldrekkCBEYWVXC+LoyPnbkKCYMLefw0dVMH1lJQF14Sr6pm2y9EusX2IXZ+8qutfDP78OkOXDI2d0aogKlpKgtL2LHQLGgchEq691U9B6QSBhWbGvmrXW7eHv9bt5at5sVW5uJOYtMS4J+Jo+o4MzpIxhfV8a42jLG15UxekgpxcH8VItWlC7x+ezav1XP2zjwvi7umv91QOCsH3X7HipQSorastDAF6h+ZE9blIVrdvLWut28tX4X76zfk3LPVRYHmDGmhlmHDGPqyEqm1FcyrrYMv2baKQORSbPhg8dg21IYNqXn45c8aN3vs38A1aO77u+gAqWkqCsv4v3Ne/M9jYIlKUivrNzBgtU7WLxxL8bYKglT6is474iRHDG6hhljqhlfW6Zp38rgYdKZ9rhsfs8Fqm23XXdYfzgcc02PhqpAKSlqy9WCcmOMYfHGvTy7dCvPLN3Ku427SRgIBXwcOaaaL50+kWPH1zJjdDUlIXXRKYOYynq7ncqyx+Dkr3V/nDF27WLrDrj0/h4vsFeBUlLUlhWxpy1KJJYgFDgwg/PhaJwXl2/n2aVbeHbpVrbsbUcEDm+o5vpZEzl+Qi1HjKnWmJFy4DF5jk1y2LvJClZ3WPRnuyXLrG/bReg9RAVKSZEsd7SzJcKIqm5WVxgExOIJXl65g4fe3sgTizfT3B6jvCjAKZPq+NDkYZw2eRhDK3q53p6iDDSmfwz+eTO8eZctOdYVu9bAo1+3CRYnfWWfHqkCpaSod0Rpw+62QS9Qxhje3bCHB97cwCOLNrK9OUJFcYA500fw0cNHctyE2gPWilQUT2oPgokfgdd/ZwWnsyLJsQj87bMgPrjgN3Yx+z6gAqWkmDDU1uBbta2Zo8b23yZ0/UlrJMb9r6/nnlfXsWJrM6GAj9MPGcbcGaM4bfJQdd0pSmccey3ccwG89wDM8C7wijHw6Feg8TVb7Ll637czUoFSUjTUlBDwCau3t+R7Kr3O8i1N3PHSGh5ZtJGmcIwjxlTzgwsO5axD66kqCeZ7eooyMDhoFow41BZcnjTbFkR2Y4x1A751j93TbfoF+/U4FSglRdDvY0xtKau2DR6Bemf9bn793AqeWLyF4qCPsw6t59JjxjBz3JCuByuKkokIzP013D7L7qX28d+nM/Ni7XbHgVfnwRGXw2k37vfjVKCUDCbUlQ0KC+qJxZv5+TPLWbxxL5XFAb54+kSuPmFc4ex1pSgDlfrDYNa37H5Od58LR38Gwrvhtd/aOnvHft7WyPSozt9TVKCUDCYMLeeF5duJJ8yAq3pgjOHV1Tu5/YVVPLN0KwcPK+d7507jgiNHUVGsbjxF6TVO+jJU1MOjX4W/Xm3PDZkAl9xn09F7CRUoJYPxdWVEYgk27m5j9BCPXWELlLU7WvjWg+/x4vLtVJcG+fczD+EzJ4/X/ZIUpa84/CK7U8CO5eAP2Q03e3m3ABUoJYMJdbbQ6urtLQNCoNoice54aTU/f2Y5Qb+Pm86ZyqXHjtFsPEXpD4LFNmmij1CBUjIYP9QK1KptzZwyqZd2nO0j/v5WIzc/+j7bmyOcdegIbjpn2qBfv6UoBxIqUEoGQ8uLqCoJsmRT4RaN3bSnjd88v4o7X17DUWNr+PVlR3HMeM3KU5TBhgqUkoGIcOLBtTz/wTaMMUiB7EALNgni18+t5H+fXIYxcPlxY7npo1M1zqQogxQVKKUDp00axvx3N/P+piamjqzM93QAWL+zlV8+u4I/L1zPOYfV843Zkxlbm5+NCRVF6R9UoJQOnDrZxp6e+2Br3gXKGMPv/rWaHzy2FIDPnjyeG+dM0b2WFOUAQAVK6cDwymKm1lfy3LJtfOG0g/M2j6ZwlG89+B4Pvb2RM6eN4DvnTqW+qiRv81EUpX9RgVI8OeGgWu5+ZW1e4lDGGJ5YvIX/fnQJG3e38bUzJnHdhw5Wq0lRDjBUoBRPhlYUEYknaI3EKSvqv38mxhhuemgxf1iwlonDyrn/c8dr3TxFOUBRgVI8qS61pYF2t0X7TaBWbG3id/9azb2vreczJ43nhjmHENAMPUU5YFGBUjxJbkGxuzXCqOq+j/vc//p6vvm3RYjAVSeM4/+dPaWgUtwVRel/VKAUT6pKbNXvPW3RPn1OImFYsHoH33roPU48uJafXDiDYZVaDUJRFBUoJQdJF9+e1r4TqDXbW7jk9gVs2hOmvqqYn198BLXlnWwjrSjKAYUKlOKJOwbVF4Sjcb7wxzdpjcT50ccPY9Yhw1ScFEXJQAVK8aTacfHt7mULKlmu6E+vrmPD7jZ+d+VMTp8yvFefoSjK4CAvKVIiMkREnhKR5c6xJke/M0VkmYisEJEbuhovIuNEpE1E3nZe8/rrMw02ioM+Qn4fu9sivXrfnz2znB89sYzxdWXM++RRKk6KouQkXzm8NwDPGGMmAs847zMQET/wK2AOMBW4RESmdmP8SmPMDOd1bV9+iMGMiFBVGmRvL7n4drdG+M5D7/HTp5fzsSMb+MOnj+HM6SN65d6KogxO/j977x5l21bXd35+az/qceqcc8+55wKXy0WIXhMN6kUvYEISMcEESEYTTWvAlqDtCNqBjJCQdIzpEc1rNOmO2iQx2BcVwSBKBIVBsMGYEMWEN8jriiGIcuXKm/OoU7Vf69d/zDnXmmvuuR57195Vu07N7xg1qvZac8619qq113f/fr/v/M6TIqhnAq+wf78C+MuRNk8EPqaqH1fVMfDztl/X/glHxG07g5Wk+B546BpPf8lv8LNv/z2e+ye+jP/z274mScgTEhJacVI1qIer6kMAqvqQiDws0uYu4JPe6weBJ3Xo/1gReR9wDfg/VPU3Vn/6ZwO37R6doN760c/w/Fe9l73tPr/8/CfztY+6bUVnl5CQcKtjbQQlIv8RiOVw/mHXISLbtKXPQ8CjVfXzIvINwC+LyB9X1bnV90TkecDzAB796Ed3PKWzhYs7Q/7gSwdL9Z3Mcl72Gx/nR97yO/zRh5/np777vmT0mpCQsBDWRlCq+tS6fSLyaRG500Y/dwKfiTR7ELjbe/0o4FP272h/VR0BI/v3e0TkfwBfCbw7cn73A/cD3HfffW3EdyZx2+6Aj3zq6sL9Pnt9xHe//J18+FPXePrjHsG//PavO1Y/v4SEhFsDJ1WDegPwXPv3c4HXR9q8C7hHRB4rIkPgWbZfbX8RucOKKxCRPwLcA3x8Le/gDODizmBhJ4kHHrrGs1/2dj7+2X1+4ru+npd+1zckckpISFgKJ/XkeDHwGhH5XuD3gW8HEJFHAj+pqs9Q1amIvAB4M9ADflpVP9zUH/gzwD8RkSkwA75fVb9wbO/qFsNtOwP2xzPG05xhv/m7zOFkxgt+7n38xwc+zblhj5d/zxP4xj9y+zGdaUJCwq2IEyEoVf088Oci2z8FPMN7/SbgTQv0fy3w2pWe7BlGYXd0MOGO83GXB1XlE5+/yT//Dx/hPz7wGV70LV/Jd33jl3Hp3PA4TzUhIeEWRMq9JNTi4q4zjB1HCepwMuNvvvp9/OpHPg3AP33mH+c5f+Ixx3mKCQkJtzASQSXU4radMoLy8YX9MW/8wKd44wce4p2/+wVe+NR7+NbH38WX3X7uJE4zISHhFkUiqIRaFIaxNyfcHE95z+99kc/dGPHiX/ltPn1txG27A/6vv/K1fMcT7m4ZKSEhIWFxJIJKqIVzF3/Rv/8tJtOc/fEMgMdeOcfrn38fX/uoi8kRIiEhYW1IBJVQi7tu2+Gl/8vX859++zP0exlPf9wjuLQ75J6H77E96J306SUkJNziSASV0Iinf82dPP1r7jzp00hISDiDOKmJugkJCQkJCY1IBJWQkJCQsJFIBJWQkJCQsJFIBJWQkJCQsJFIBJWQkJCQsJFIBJWQkJCQsJFIBJWQkJCQsJFIBJWQkJCQsJEQ1bSYrIhcBz560uexobgCfO6kT2JDka5NHOm61CNdmzi+TFXvCDcmJwmDj6rqfSd9EpsIEXl3ujZxpGsTR7ou9UjXZjGkFF9CQkJCwkYiEVRCQkJCwkYiEZTB/Sd9AhuMdG3qka5NHOm61CNdmwWQRBIJCQkJCRuJFEElJCQkJGwkEkElJCQkJGwkzjxBicjTROSjIvIxEfmBkz6fk4SIfEJEPigi7xeRd9ttl0XkV0Xkv9vfl076PI8DIvLTIvIZEfmQt632WojIP7D30EdF5C+czFkfD2quzQ+LyB/Ye+f9IvIMb9+ZuDYicreI/GcReUBEPiwif8tuT/fNkjjTBCUiPeDHgacDXw08W0S++mTP6sTxzap6rzdX4weAX1PVe4Bfs6/PAn4GeFqwLXot7D3zLOCP2z7/1t5btyp+hvlrA/Bj9t65V1XfBGfu2kyBF6nqVwHfCDzfvv903yyJM01QwBOBj6nqx1V1DPw88MwTPqdNwzOBV9i/XwH85RM8l2ODqv468IVgc921eCbw86o6UtXfBT6GubduSdRcmzqcmWujqg+p6nvt39eBB4C7SPfN0jjrBHUX8Env9YN221mFAm8RkfeIyPPstoer6kNgPoDAw07s7E4eddci3UcGLxCRD9gUoEtjnclrIyKPAR4PvIN03yyNs05QEtl2lnX3T1bVr8ekPJ8vIn/mpE/olCDdR/BS4MuBe4GHgB+x28/ctRGRPeC1wAtV9VpT08i2W/raLIqzTlAPAnd7rx8FfOqEzuXEoaqfsr8/A/wSJt3waRG5E8D+/szJneGJo+5anPn7SFU/raozVc2Bl1Gmqs7UtRGRAYacXqWqr7Ob032zJM46Qb0LuEdEHisiQ0zB8g0nfE4nAhE5JyLn3d/Anwc+hLkez7XNngu8/mTOcCNQdy3eADxLRLZE5LHAPcA7T+D8TgzuAWzxrZh7B87QtRERAX4KeEBVf9Tble6bJXGm3cxVdSoiLwDeDPSAn1bVD5/waZ0UHg78kvmM0Qd+TlX/PxF5F/AaEfle4PeBbz/Bczw2iMirgacAV0TkQeCHgBcTuRaq+mEReQ3wEYyS6/mqOjuREz8G1Fybp4jIvZgU1SeA74Mzd22eDDwH+KCIvN9u+0HSfbM0ktVRQkJCQsJG4qyn+BISEhISNhSJoBISEhISNhKJoBISEhISNhKJoBISEhISNhKJoBISEhISNhKJoBISEhISNhKJoBISloSIzOzSEh8Wkd8Skb8jIpndd5+I/KuGvo8Rke88vrOdO/aBN1fnqOPt2OswFpErqxgzIQHO+ETdhIQj4kBV7wUQkYcBPwdcBH5IVd8NvLuh72OA77R9TgL/w537UaGqB8C9IvKJVYyXkOCQIqiEhBXA+hc+D+PoLSLyFBF5I4CIfJO3kN/7rKXUi4E/bbf9bRvV/IaIvNf+/Enb9yki8lYR+UUR+W0ReZW11EFEniAi/9VGb+8UkfMi0hOR/1tE3mWdxb+v7dztsR8QkZfZaPAtIrJj971VRH5MRH7dtnmCiLzOLr73z9Z1PRMSIEVQCQkrg6p+3Kb4wiVJ/i7GxuY3rdP1IWbRur+rqn8JQER2gW9R1UMRuQd4NeAWjXw8ZlG7TwG/CTxZRN4J/ALwV1X1XSJyATgAvhe4qqpPEJEt4DdF5C12vaEm3AM8W1X/urXf+SvAv7P7xqr6Z8SsEPt64Bsw60H9DxH5MVX9/BKXKyGhFYmgEhJWi9gSCr8J/KiIvAp4nao+aIMgHwPg31g/uxnwld6+d6rqgwC2bvQY4CrwkKq+C8At6yAifx74WhH5n23fixjyaSOo31VVV5N6jz2GgzNQ/iDwYbe2kYh8HOPGnQgqYS1IBJWQsCKIyB/BkMtngK9y21X1xSLyH4BnAG8XkadGuv9t4NPA12FS74fevpH39wzzuRXiawcJ8DdV9c0Lnn54jJ3Ivjxol5OeIQlrRKpBJSSsACJyB/ATwL/RwIFZRL5cVT+oqv8CI5z4Y8B14LzX7CImIsoxjti9lkP+NvBIEXmCPcZ5EeljnPn/N7suESLylXb5lISEU4f07SchYXns2JTbALNcws8CPxpp90IR+WZMZPIR4Fcw0cdURH4L+Bng3wKvFZFvB/4zsN90YFUdi8hfBf61FTQcAE8FfhKTnnuvFVN8FvjLR3yfCQkngrTcRkLCGYOIPAZ4o6o+bsXjfgK4T1U/t8pxE84uUoovIeHsYQZcXPVEXUwkma9izIQESBFUQkJCQsKGIkVQCQkJCQkbiURQCQkJCQkbiURQCQkJCQkbiURQCQkJCQkbiURQCQkJCQkbiURQCQkJCQkbiURQCQkJCQkbiURQCQkJCQkbiURQCQkJCQkbiURQCQk1EJFHi8gNEWlzFk9ISFgDEkElnFqIyJ+yS55fFZEviMhvestPfLeIvO0o46vq76vqnqrOlji3p4iIisjrgu1fZ7e/9SjnlpBwFpAIKuFUwi5x/kbgXwOXgbuAf0x1Qb22MdYdGX0W+JMicru37bnA76z5uAkJtwQSQSWcVnwlgKq+WlVnqnqgqm9R1Q+IyFdhFg/8EzZF9yUAEfkZEXmpiLxJRPaBbxaRvygi7xORayLySRH5YXcAEXmMjXb69vVbReSf2kjtuoi8RUSuNJzjGPhl4Fm2fw/4DuBVfiMReYk99jUReY+I/Glv3w+LyC+KyC/YY75XRL5uBdcvIWHjkQgq4bTid4CZiLxCRJ4uIpfcDlV9APh+4L/ZFN1tXr/vBP45ZjXbt2EWBvxrwG3AX8SsRtu0wN93At8DPAwYAn+35TxfaccH+AvAh4FPBW3eBdyLiQR/Dvj3IrLt7X8m8O+9/b/sVsxNSLiVkQgq4VRCVa8BfwpQ4GXAZ0XkDSLy8Jaur1fV31TVXFUPVfWtdjn2XFU/ALwa+KaG/i9X1d9R1QPgNRhiaTrP/wpcFpE/iiGqV0ba/DtV/byqTlX1R4At4I96Td6jqr+oqhPMir3bwDe2vM+EhFOPRFAJpxaq+oCqfreqPgp4HPBI4P9p6fZJ/4WIPElE/rOIfFZErmIir6a03R96f98E9jqc6s8CLwC+GfilcKeIvEhEHrBijy8BF4NzKM5ZVXPgQcx7TUi4pZEIKuGWgKr+NvAzGKICE1lFmwavfw54A3C3ql7E1K5kxaf3s8DfAN6kqjf9Hbbe9PcxtalLNh15NTiHu732GfAo5tOECQm3HBJBJZxKiMgfs5HHo+zru4FnA2+3TT4NPEpEhi1DnQe+oKqHIvJETI1ppVDV38WkDf9hzfGnGMVfX0T+EXAhaPMNIvJtVqzxQoxS8e0kJNziSASVcFpxHXgS8A6ryHs78CHgRXb/f8IIEv5QRD7XMM7fAP6JiFwH/hGmrrRyqOrbVDUW9bwZ+BWM6OP3gEOCNCTweuCvAl8EngN8m61HJSTc0hDVukxIQkLCScPK3r9CVb/rpM8lIeG4kSKohISEhISNRCKohISEhISNRErxJSQkJCRsJFIElZCQkJCwkeif9AlsAi5cuqyP/rIv42CSszPIit8ANyc5u/2Mm1P7ezJjd9Dj5sQYXO8OeuxPZpyz23YHvaLtwTQHKMZ0/cJjuL9vTnJ2vX2Hk5ydgfEzPZjO2On3OJzO2O73GM1yMkC82TIK+AGx27XVN8dx+/yYWdH4jCEBsSOIdxwp9lHuFZBoJL5odL7q6UcnB7UXLH5dqm2qG2tftGztvn/Rxl3Hq3ur8TujvO8aJ6ypaas1t2l4/FyVXJWZbTzLzWu14whClkE/y+hl5vr3M6GfCT0RMsH8AGhenolq/A3O/Q/F+7BIZft73/e+z6nqHS1voxXZhUcp08NObfXg829W1acd9ZgnhURQwB2PvJvXvuW/8Ft/eIOve8Re8RvgfQ9d595HnOf9f2h+v/dT1/j6R17gvZ+6BsDXP/IC7/qDazzhrgvFPtf2/X94HYDH33meD336Bo97+N7cb6A4njvWBz5tXn/kM/s87mGmzYc+c4PHPWyPBz63z1ffcY5PfOmQQSYMeuWHYJabDyhAJkIvM9see9sWADnmMzZTJbe/6z5zGaZ/T4SeQN8ex73uZeVvUfU+zCDub29b7dOr+DBbEhUvqJeWAD92zCNA245XHKy53dLkRHmZcq+vP0quftv58fPIIevOItY2NnZ4ZcPDunHCPv57UdvObZvZP/LguZ+jlX6TmTLJ88q97ZDZa5irMsmVw2nOzcmMG+Mp10dTAG4cTjkYzxhPc3qZsDPscXF3wOWdIZd2jJ3hw88NubDd41w/Y3eQsTPIyCaHiCUBmY4hn4HmxX1W3CvFb0GzPmQZZH2QzLy256hZn51ze79Xe8EXwWzE4Ku+tVPT8Xt/sskVZeORCKoj8uDTPCs+RNXfsbYrOb4qOcrMjj3LlUyAyEpFg56Qicx9m3QPillefRD4EAlJyBDVIHMEVW4XFzl5H9wCbeTkP6Alm//ANyE41qaQUx3pdGlTeUjbF+FV2wRyAvOvW7R07Ygo984oPAd3T7r375MTlIRUHbckpxvjKTdGU66NDCkBxe+dYY+97T4Xtgdc2hlwZXfAlV0zh3tvmLE3MOQ00ClyeAOZHBpSAiSfmnvO3WeSFbG+f9+I5iiZadf1floSkp2NNTQTQS2Bug/3TLGRSXW7Rrb5H7ZezXPNkZIb221zH+LJDCZokarIBAZZZqInS1CTXOe+rcbIqee+9UtJQgMvSup7x6glpxhRNJFTGDUtEDEVQx2RnNZFTGH0tAgxQX3UZPpUN9Tdj4uS09y4Nf1jY9WJrdyXotZx8O9rS1AeOQH0gn+BITA1UdNoys3JjGujKTcOp8UXuV4mDPsZe9t9btsecPvukCu7A27b7rNnU+y7g4zdviCTA2R8E5lNkNm4vN/q7jHJPNI6TsKQRFBnHasQN/qRVJieiCGzD36HkNRcG4BJroAWkRLAoJcVaTkwkdJkVn7Iq+kTQzZ+Og+q0VM/q6bz3PEzFHIzaGdyCh/QPjktETVVjr0gOpMSLB0xdYqmWsipjZhibcIxOrdfgJz8e2hu/JpjhtFTbMzJTO2XquooMWICipTewWTG9fGMa4cTDsYzZnn5pW1n2OPC9oCL232uWHLaG/aKqAlgkI+RwwNkcojMJjAbm3srOA8ye8/C2iOkRkgiqDONJjKJkUas31z6ItdKJBU7hh9JuW+TsZoElMVfgK2+uVndAkEzLT/ok7yMwlTL8wrJyZFaP6vWngY9I5VwH3i/3rQwOXkf6pNK6XUip441pqXPYcGoaRFiCsfp1L4jOdWKICI7ivu3/rBFO3e/1pFTpdY0M+k8wNabZkVqb2y3u4gJ4PxWn0vbJp13++6gTOf1hWy8D4CMb4KNmiSfwszmzb2UnjmBvCCp40jj1UEA6SWCSiCMgmra1HxywzpVbF/XY/vHyjGpjVyrERSYqGmG+aCPpjmTWT73jdeRU1hrAhhkVQFEJZ0Hi5FTUGcqdneNmoLxT5qYzDirIafwnlkFOa2j3lS2i4+5iDAiQ+aiqBwtiGcWHMRPg7s2NyezQkF7Yzzj+rgUQYCtNW31ubhlHm0mpTfkwpaNmoYZQxcxjQ8AkOlhSUyReuqJR0whRMhSBHV24H8sVpHaa4IfFfnIkGgROMTMfuCnNm+XVVR8ykRycjWpvcNpXtTFwBATlDWksNYELoIyrzOp1pocaskpRkxQFUHY15VuInHF2wrIaVOICY6u0AvbxMZoa1s9n8XIqSnl6MjJF3g0Hd+pSGe5VupM1dqsFNGVSeeVKj0wEVSo0Ds36FkRhBFAXN4dsDfIirReNr5JNrqBTEcwGwMg04khKKje0033xbL7VoSU4jtj8D9cMXSJeELExnNRUdOxuuybaVxcUebxNTqOuNReECH5QgtHZI3kFEPsId4iG68lpxXgNJFTFyxCTu3n042cusAnp6bz8WugsTRnr+Y6T2ZWbj4zWYGRjZbG07yoNw37Gdt9Ez3tDc0PwE7fyMZ3+lJKx12daWoM4QuVHiyeuoulrdcMESHrD9ob3gJIBBXBUWXiMWKMrwedAAAgAElEQVSoU/gVfZgnlCyrfmBVzbn5p+eTlCOlySy3IgoravAIx0/rDSIiiJiEHAJi6hLNNCj0/Af+HDmtQAyxKmIyY62+3lQXNZn2603phcfomtarO886cqqTkPuCHRc9hZmD8kuYMrJCCFdvcik9oEJOrtZ02UZPe0Pz/90bZpyz9SaxkZOTkM9FTfkMsl47Sa1IZLM8kkjiTKKOmKJqpSN86881fixHXi61Fqr6cqUgHigJzElqJ2qIyUVRg0wY9Mv6ki9+aFLprYucwof9qslpEyMmh2XIaVEhRFuf8BjrIKf5tlVyKqZNeA19ld4sLyfxOnK6boUQLqXn+g77GTuDHnvDfjG36dJOn71BryCobabIwXVkfGBqTVNPQp5HJhE6koohq6aqo2nr2ITzVSOp+BIclkntxeAeUJUUj1aPEZJez5sQ6QjNLyRXJefmAz3JcyYzNQq8rFdIz814pStE6AjhxsqcBU0XMYSPBoVel3lCRyGnTYqYoF0IsWytyR9jkT6x4yxDTnU1p0XIaRY0mlPp5WUK77qn0NufVIUQAOcGRkJ+2ZLTha1eUW/qTW4CmHrTxJOQ51PIZ2goIQcky+LkJNm84MdzkDgJJII6w/CFBceBqae0gzJt55OjE0fE2rgP9Gg649DmUHq9jCwTtnpZMcm2JzKn0nMS8gphLElObem8WixJTquyJjJjrTZqWqUbRNE+sm2RiAmOFjXlQdsu5DTLSyl5iFCld1ik88yRfHKqpPNsfenClpnbdHlnwPktKx/vKdnhl0qF3uRmGTXNJoaYwsgpfNhbAgrvrzn1aXhfZfP3/1ogkmTmZwr+N8OWD/yyqb3wA+qToPvbzZWqO66rIYFJ7znp7WhqPnCHs7xQNNEz9kTb/WzOpqifSdQRwqFzSm9JYoqRYfTYNVglMZnxjkcEsUqrorr21XPqls4zbePjhuk8s79KvtX27njz5OSmRTg4yySfnG6MjSsEGJXe4awUQmz3e5wf9goPvSu7xkPvglXoDfMxcvM6mXWEAIqoSacTQ0yOnBaJQERK8oF68or1WwOEFEGdaVQn3C4fSrkPZmyIpmO4yGk6y+ceQoOsFD3kuVaiJqdqGvYzBj3zs9X3Iyi6S8hh5eTUltaLkZNKZjzONpiUHJYVQcTaheN0aV93nFXWmsLzCsnJt9UKzYjDmqqqUeiNZiZquj6acmM8q3zhmuXKzqDH7qDH3rAqIT8/LOXjvdENI4KYHCCTkYmYAJ2MqsRUgyK950dP4b00F0HJfER1HEq+FdegRORpwEuAHvCTqvriYL/Y/c8AbgLfrarvFZG7gVcCj8DcJver6ktWdmIkgqqgq0vEulE3Vwqqyj7js0fFQNap8DJxKr2S0IqlBMLJt4uiowii0qXjsdyYjpQ2lZxCLHt/rLrWBMtJyGsnoVMlp/pjOiVq+TpEeNkLtxPrDjGa5YX7icPQfslyYoiLWwN27PIx2/2MbSsfZ3JoFHrTcZHOMwcpyUlns+VSY9l8xHTSVke9/nBFQ0kP+HHgW4AHgXeJyBtU9SNes6cD99ifJwEvtb+nwIssWZ0H3iMivxr0PRISQcFaQvHwAxrO8fC/XYbpPyclryj2RApyAYp5IYfTWSG7BaNsGmTC7sB8sMMIqlPkBPXR0yrIqWbsmEJqlQIIM95mRE7LKPTa+oXH6ZrWW1RCHp5LWG+C+XvaXXY/TRim9W5OZhVz40GWFZHT5Z0Bl3cHRToPMPLx0XVktG9qTTZy0ukEpjaCmjVETjYKqY2eYv6RUqPky46PwGS1MvMnAh9T1Y8DiMjPA88EfJJ5JvBKNTfG20XkNhG5U1UfAh4CUNXrIvIAcFfQ90hIBNURsSLvMm0dMdXJzH1i8scZ9Er3BzBOz67m5Mtuhz3zod7qm7SIU+vBEchpQYVepWtDvenIOGZigrgQAprSXt1qTeEYXdrXHeOo9SY3RldyalpfLJbSAxjNZlwflfObRtNZcd9vW9mpsyxytSYnH99W6wCxX9abZDaB6aioNXUhplo4csq8L0lzqTyJ33+R+tQ6sEKCugv4pPf6QUx01NbmLiw5AYjIY4DHA+9Y1YlBIiiDDumLowwVfnsM4aIrl9rz/fMyj1ygJLHRNK/YvIAhKJcO2R1kbPeziox3YXJqmPPR5YG/FnJa4sO/LoVesa/Y7rfvTkz+GIv0iR3nKFFTk0ov7OOiJtX69cVCchpN88Lo9cZ4yvWxcSI/nOaFgGK7b+pKQFFv2htmnA9qTQAy3i+jpvFhSUw1LuSV9F7WM5GT/bsxOioiqgj5ZEGbOqyStBarQV0RkXd7r+9X1fv90SJ9wruusY2I7AGvBV6oqte6nlgXJIJqQV001CWi8tN6RfG45onjiCmnXGAwTAu6D7kqjGd5Zc0bgG0bNbmfQZaZGpS/tnZs8i3ME8gRpeObQE7rjJrC/+JxK/RixzmqhLxOpRf2CVN6beQ0y+MS8puTWWVS+Va/x8Vt4wgBFPLxC8OMHZkhN79ENtovFXrTEToZodMxOvFqTk0P76xXkpNrF0vtRVJ2lf0dI6X1RFMLEdTnVPW+hv0PAnd7rx8FfKprGxEZYMjpVar6uq4n1RWJoDqiJ1KkM+q4qY60Ypt9sYPrF07YDeeJmMhpxky1srSAm7jok9PuoEcvTKM3kVPkg7QR5LQBpATd5OObXGeKjd1Fpef38etLsZRe7NLPci2IyS0sCEah59J9W32TlvbTeQAXhj3ODzMGsxHZwTUTMY0PkImZ46TjQ0NMTgSRz8yDO0JS0uvNk5N3f4fkVEnrdYmMYiS3rlSfsMp5UO8C7hGRxwJ/ADwL+M6gzRuAF9j61JOAq6r6kFX3/RTwgKr+6KpOyEciqA4QaSafuty736fJ3y/P3RIa1qG8Qkzmt4ucDmcmHeLXnXYHjqDM39v9rJjjZE6yxey1jpxq6kyq8YdRVzFEZ5xAjQnWK4JoC4yOQwThj7NorQniKb3w8rt6U+mjN+XmJC8k5JO8mtIL03lgfPR6h9eQw+tkk5vI+ACdjMhHhqCYTlAnH7drNRUk5ZBlzeRUvIEIOdURmHsdRlnHhFWKJFR1KiIvAN6MkZn/tKp+WES+3+7/CeBNGIn5xzAy8++x3Z8MPAf4oIi83277QVV900pOjkRQrahzWG7rs0jdahJM0O3JfN3KLJ2h1ovMbBv2M87ZaAlcBGXqUL3MLeFRjrvQJNiAnNrez8rI6YQiJoi/x0XJaV1R09xxWtvWjxtL6TVFTTGj1zpyctt9k1e/1uQQpvTCdB5gUnqHpY+eHu6jkwlqFXpztSZ/QcEuqFOKBgS1SeRkzk/IViQzB7CE8qZg2094fyvw/Ei/txGvT60MJ3iVjwYR2RaRd4rIb4nIh0XkH9vtPywifyAi77c/z1j3udSazObqeehF9lGudhvt7z0FJrmJnMbeh9xNyN1yP/2sqDuJxKOcOqifUz8qOS2LEySnEG6FV2hW6NVNvA1xlCsUHmcVkVMxVk3kFI6XW6JqI6diaYzcCCIOp+XCmT4GvYxd65t3fqvHzkDYsSIfM9nWLCgos3EhgijSeXlekJPmszKKqkMserL3ezS11xU+kR3zvKgsk04/px2nOYIaAX9WVW/YQt3bRORX7L4fU9V/eVIn1iSgKBzIvSZj558nYqKezERgLmoCuHE4NU7PXmpvu5cVs+wBKy8voycwX2/aIqcmhV6TKhFqyGnR6GnFE2zdKXXlry4KPbPP73P0lN6qhRCmfXzsOsui+vfXTaXnVsl1Ah632q0fOU1mebF+2Vbf3Kt1kZOLmgBDUOP9gpx0OoY8ryekLDOpr6wXV+7BfK2oeCNBai/8wtahprTQStFHgIggtwD5dMGpJSgbdt6wLwf2ZyVf5busbNtWU4IqCbm5SEXkFKlbVWpPKIfTWVFIPhjPitpTL6Mgpt2B+QYKhqD6WVl7aruHm0QQdRzbSE7LpPVWSE6LBHJd03lmu99vvuOiCr26PtXzWzxiio3tE5Nr25TSK9o0qPSK+8uSk6/SuzEuCcqp9MDM43NCCDAS8ks7/dJHbzYiu/klZLxPNnYiiANTb5pOUL/eFKC1HhOo9uYm4sbqTjUo0ntNbY/B4VxOyEX9uHFqCQpwNh3vAb4C+HFVfYeIPB2jOPlrwLsxVhxfjPR9HvA8gCuPuKvTt9lFUJe6c6Q19lIevSyYhDszDwRHSmB99tRYGWUixXyn88MeW/Zbolmu3Tw42u5fn5xiIogQc5Pqj0JOa4qYiuEbutWR2KLktGm1ptjYXaImv9+iKr0cZTyteukdeBGUu9edEOLitlkWAyiWxji/1SuFEHZBQR0ZGbmODqtRU8TotSCnIHoqIiefvGpIJTYRdy7Cqqs9NdWx1ohbIX3XBae2BgWgqjNVvRejy3+iiDwO4xP15cC9mJnOP1LT935VvU9V79u7dHnhY880Xldy++oQi5x6NZHTwdhIyl2aryfCzrCHSFVSPuwLw36VnDKJVy+refesEjG5nxArI6dO31Cl+GlD3fku0jZWa8q1/DF9tRM5KUcjJ/84OYul8+rmNvkqvVhKL9dSoVf85O3kpArjqVHpXT2ccvVwwo3xrIicXEpvd2AUeg87t8Wde1tc2u5zabvPbVs9Lgygd/MLZDe/aMQQoxvowXX0YN/8jA/LyGlRcsoiyj2YqzmFLuXzir1Iaq/uPj6uOpSAZNLp57TjVEdQDqr6JRF5K/A0v/YkIi8D3riKYxRuD25ybGzOh1Yjp7CNmYRb7i9Tcab25NZ8cpHT2M6wB4rIaWdo7Iv2hv2i5uSW06gjp7pvd9pBbXhkclqDVHwRUqpDF5siM8bRoqaukfm6oqYuc5tCHz0/pRem88DUQZ2E3C0q6LtEQDWld2lnwG3bfc4Pe1zYMvfDcDYi27+GjK6TjQ/m0nlAlZjA884LZORB3WkOnjDC71frFOGn/9x19VN7DhIRVfj12zURlsAtQT5dcGoJSkTuACaWnHaApwL/wjMxBPhW4EOLjr2MM7WrK8X6O3cIU3AuCcehJxTzoHL1Iqe8XD9naMUPbgKum/NUme9EhJz8E1lUndcmhpjrsPgHchEl3qqJCapRU9n/eOpMsWOte25TXa2pzUfPXw03nHjrT7rdtk7jOwNj8Hppe8DF7R4X7NIY/bG1KTq8Tja+YeY2jW4W6TxHTuagi5NTJXoCxCOtWhPYcH9xAbz0XRhpnSRE6PVO+ByOCaeWoIA7gVfYOlQGvEZV3ygiPysi92KeH58Avq9toC6PyEXMYmOYX859/qizXAul3lz7zC2hkZFhfodOEV2e9Ssnp2P6sB7x8s+Pt0DbTSOnpnHqlseYj7TmI6cYfJWeIyG3PMbh1CyN4QshXDTvXMjPDbNCPt6bHno2RYfIxFoVTcZFrcmcbJtsPH7PzU3IhXj0NNcxJKYaxV6EvDrtWwNSBLXhUNUPYNxzw+3PWWa8o/y/w5qTb+zqMA7mgfiKPRdd3TicMsnzYq6TW9sJYG+7Tz8T9oYmgjJGsHYJjgjFZiLlQ2rdkdMSWHU6rw2LOo8vK4Jo6xsep+jT2L5+7C4O5G3kVLc0hhmzqtIDiuUxwshpx1PpXdkdzkVOLmoC4pFTrXzci55c1OTvq3OLMJ3mU3ehlVENoktpVBSvJxPFmLeQCOpMofGBpGXtKbwx/NTe/Jha9PdTe75iDygWbXO1p6lN7ZmJuKbhuSK1Z9J6W6GdkYV76R5SuXYnJlgfOS0zqXbV5HTUWtOqo6Yu0pI6cgrl466tT07xNGB3lZ6LmtzSGDfGbin23HpClnOb/DWbAPYGGRe2epzrKdmhdYQY7SPjfTP2+NCS02S+1uQj68XFEMX+FiujUJHXhNAtYm7f/LSMapvjI42TzjIeFxJB0S3ds8g3FqfUc1GTT2A9L7pym31RBFi5uAh72/2iVrW31acnYgmKykq5xTmGogyNq9fc0gY+WsUQR8A66kxdEIua1mFT1NY3PA6sRwjhn2es1uT+7uqlF7MrAioTb3cHPS5sD7i80+e27QEX7GKC57d6bOuYbP9qYfLKaL/w0TPLY+TLkZMX0dSSU0z+3ea1N3f8+jRfbA5hFOsSSqR5UAnQtNxGex/flsihWBE3LxV6Nw6nzGzkBEYQkYmwt9Uvcvp7w37xQJAgcqrYzXjH8h9MUD7IjoOcNiFigm7pvHBf5Zwaj9N+LosSk+lTP36bEKIpnedeN6X0gLmJt+GkWzD1JrMEe5/LTqW3lbE3sCq9yX6tEAKoT+ktMsfJta+xMbKDlG9ygQm51QtUFzF1ILA1QOTWsDHqgkRQNah7WDY5SDjUiRx8A9jxNJ9ziQAKKbl7ALiIa3dgak6DXhk5OauZuXPUKjk1qRJXSU7LeuOtg5jgZBV6i9aZTJ/4+LG0YFdy8tN54TFiPnrA3MRbf14TGB8934H8/NCm8/pCdngVoEzpOZNXP50HjeTkE1PxOqw1VdpHyKkpciq2e2SyQCQUJZ9jjmiSSOIMoqu8PKw7+RGJX2/y97tUnYucXNQEFJFTJbUnpSACTOSUUaYIY/dnzIE6hH+uq6o3nTQxQft8H3O89deZ6sxjj+qh58bwU3pacz7+/3/Z1W6dlNyvNTnPx70t46N3++6AvaH10WNilmAflT56RUrPtyrqKIQo/nb7wgm4eMRkXtTPY4qt71Q3h6lr5ONHZieARFAJUTSl9oo20blOUuyb5VQm4c6C1N6wZyTkg14ZHxlBRDd3hS7ktCpsEjnNb/ePt15yOioxNY0ZG6PtXA2RdSMn5z4+snnAwoE8z4v7fWDd8gFrW9Rnu28cyLd7ghwekE0OEJvCk5mVji9JTpV9YeQUoo5woDoh12s7138VOCblgghpHtRZRSxHH0PsYW/SKWVfn6CcYsql82566zr5LhF+as+l9YDi4VC4r3jpvUpqyD6QcrWTdiV+rkeNnhYlplUSksMq3SCWqTW1LbWxDh89WG3k5BwhXNQEcZVe41Ls+1fJxvsmpWdXu80P9pcipzYJuWk7P8cp5k4OgZghFE+EaUB3XTZeIndr2Bh1QSIoDzFi8i2O6gxgC9WeJ4rw03pQ2sMcjGeVuU5QTe35c51cWg8c0TSfv09OTTgKOZ2UIs9Hl1qTOf76oqYmcjqKEKItpRfv49q3O5A71NkVAUWqL7QrurRjHhfFUuzTA7LDa4UDuR7eIB8dmnNqm9sEy0vIizdVT07RqKmNnAIrpEZoXhsxrZ3g0jyoBIdimeuGJ1m5FHY1tee7RbiU3nW7rpNpZ367yOn8Vr8y12mQZUVaz0VLc1Jy7xHrvjlDfWp8GXLahGgJ6onJ7POPX223qAhimVRe0bdxb/eoybXtKoRw+9osi8Dcp012RTDvQO7cx4F5B/LJQUUIAdRHTR1UesX+tqXaYzWnOjFEjJwqH4Y1qO/WrOQ7C0gE1YJlVHtDm44rHxzzkZNL64EhqF4mBTEZKTlzir1K3dcz73SHnrU8HRe9p9cVLdUJTLr2OY3EZMaYP05Mhr6MEML0bV+K3UVNZVqvms6D6sTbK7tD9oYZ54cZ5zK3FPvVUqU3OZhP50E3cmpT6dk+sflNQJWcsrroaAlyciS5oak+YWNPbeVIBIV5CKgSdWYIHcod6lwiMintiRwZzXJvRVzbb3fYY2A/CBd3BoVDeU+sjVHkXKD8XIUTL/1tvvS8aW2ooy6ZviwpOXRaGHKJqGmVxBSOHe3f2Lf+WE3kVJfOc2OG6bzwWP6ldek8KFe6vTkxE2/9dN62Dekv2KjJdyA3CwpeM2P7DuQH+53TeRCJmty+RWpNxZusIac2KXkkpRe1NaqBaF62dxf9OCOalOJLcKhTiPnRUUy1B0YQAUZa7vL7PTHrNrm0HpiU3iCTylwnCIgmcj/6Sq0Y1vmZOSo5LdpnXXWmZQUQsLhCz19fKjaGT07151WSUyydB/PkFProxVa7dZNuocZH7+Aq2cj66E0OSqui8WGzCALmak1QjZogks6z/Wzj+VqTe6OxZTPc3wQiCf/itJFThORa0VCXWjWSSOIMQTD3rfvALyqIKCInOxl3PCu99VwfZ3s07GcMsqyY6wRUDGAzTGTRuly7ljUHH/6aUKvEMnWlJmIKo6emtsuSU92I64yYTP/6Y8VEEKZdfUrPF0E0KfSgfP46hZ7z0fMJqs1Hzy3Dfq6nZAdfMOm88cFSPnoQSee5feHKtzVGr8B8rQkayWku0vIvTlu9qev2GkIqIqw1EZZIWm4jYQn0RCopv/J32WbLzXXqZ8Xnxc13cg/t4nMU1J18OLeI48CqyWmRtjFyaqs1rTOdF+/TLVptM4ptipyKftpOTqadmdt0ODXzm9wcJ39uU5YZ02GzNEa/SPFt2flN2fgGMhkhs7Gd12QFEBNDTK2REx4hub9jc5nqVHoWc5FTnYTc/V09gerFqSOMBt+96PnMbex4E6wIKYI6w/AVe440ikm1qpW0HsRTe5M85+a4/PCGqb3zw37VJSJQ7YXwvxm7H/egqqtVxWyQuuIkSQmWF0IcZ60pLD8sGjmFwo86Hz1fXFFE+apzX2hcnzBycnZFUN7bTqUX2hUBUQdyFzUBzZFTByEEUB85dVXpeW2ikVOLjFwjhFdps+xkXhs1VaKoRfp3gMj8M+dWRSIoDy61V/fw9FN77gbx5zv5qb2QxJwowrcxckawW73M3nT15xYqwGLfoleR3ls2KlumzhQ9fmVMb/sJiiBgvlZEw+tYrckfp6t8vE6l10ROzrLoxnhaOJA793EoLYv2tvpWCGEcyJ37OFA4kGej/WIpduc+DhSGr3OIkFNbSs+07aDSg24Scret2N+Q1gujplMkjUsEdcbQ9owKI6eYjVHMJcK0LSOnC1t9+j3rSm73+7UnqJ/zVERODek95x6xCI7CLesgJjOu3b7GiCk2/twYlbbNY7Up9NwYiwghNKgzOnIKhRBAIYa4OckLZwhfCAEUE2+v7A4rDuTOfRyoX4q9qxAC5ifeRoxel1bpVfa3iCG8bZ3JqSF6ita2ip02nRFGUSuGIImgzhLC50TUxih4moQ2RnVzndx4bm2nyrpO3v661F4scjKvyweVI7RwnlTr+94AYoLNE0FAfTqvtn0doQb9m8jJtQkXFPSd7n1y8tN5QMWBPFztdm9oiOFSZW5Tj/MD40Du0nlA3IG8ixACOqn0zP4gpbeoSs+9Zo3kFJDLxlggpRTf5kNEtoFfB7Yw7+MXVfWHROQy8AvAY4BPAN+hql9sHMx9Y1XzYA9Xu/WFDzBPYG7pjAMbOblvvOe3zeUdZBkXtgcMsnKu05aNmqD8dhum5+YWnSvqT/VPy27F+vY2IVZJSMV5VMa322JpMf86NIy36ojJtG8fs4mcQmLy24fHian0wsUlfXLy03lA1IG8k4/e6HrhPg5UUnorcyC322JREyyu0iv6eK9jxFRpZ8cM98f6bHK6T0gEdRowAv6sqt4QkQHwNhH5FeDbgF9T1ReLyA8APwD8/aaBmp5BziXCdxz34S+d4UQRPTFzmXbst1bnaeYMYJ0gog2OlKA678qHPxG3izS9K9ZBSD5iD+uTVuctm84Lxw/TeVCv0PMl5H5KL7a4pPvTzW0aTfPCRw+qS2Z09dFz5OTSecD6fPRsP/NmgpRekM6DIKUXS+e57f7FqYt66uY4xbZF9keXgJ8bo/oBXFfElUlpHn2r49QSlJonwg37cmB/FHgm8BS7/RXAW2khqBC+iq8utedLyEOrI9fGEVRPjJxXBKvUM3Upl9arlZIHj2T/IRjWIWJ9Y27nXXBc5FTZdorIqcv4oRCiKWpyf/uvYX7agWs3y01qz5BUWWeazNxkcHOfbfUy9oZ9zg/77NgH2k5fGOgUGd9EpiNjUTQZoZNxKX7IW2Z6BURU3Rek9MJ+USFDNXLqRAZN22NjNKGl7cJEs+7oS1IN6lRARHrAe4CvAH5cVd8hIg9X1YcAVPUhEXlYTd/nAc8DuPyIu4qHuVPxxR5SMRsj3wA2tDE6NzSXtzSAtf56xOtcft0oTOe5h1DMb8/361sWx01KXRV6607pwfELIcKoyW2LRU4xy6I6uyIoVXrOrujSTp+9gbErAhj6DuSj/XkhBCxUb+o08da9rhM1LCuE8C9QXUrPnmdlvNjfTdu6tKn78K1FJAG9DhmYWwGnmqBUdQbcKyK3Ab8kIo9boO/9wP0Aj/nqr608RsYRFvANYJ0gAkyN6mBi1Hsutbe33WfYl2IFUn9tJzfXKbyfK7WnlqXaXf8mn71wrOi+JUjJ9ViEC+vI6TSJIPzjNsnHTbvFhBBuu09Ofq3JbTf1plmtA7mzLLq8M+DS9qCwK3Lu40CtA/lCQgiopvViUVONK0S0brQOcmqTkHcgp6VSdLE05BqQIqhTBFX9koi8FXga8GkRudNGT3cCn2nr7/+rnSAidNwu5jpNc2Z56bPnUnyZSBE5XdwdFHOdgIqNUWyuU6i4c5GTKZYbuPNpmyslEaILsSgxLRtb+f26KvTWncqD5RV64TGW9dELhRDmGHFychETUOtAvtU395lvWeRqTbs9Jbtp7IqAegfyBVe7nXMgd227qvRiE2+PQ6UXex3Z1tkGqelc1kRSaaLuKYCI3AFMLDntAE8F/gXwBuC5wIvt79cvOnadS4QvJb/p+ez1srhLhB9BOVGEn9qL3WO594250ctugUm5y6bv6nq1HbJLxORvbzveSaTywmPXpfPcWHXk5HerE0I4+OTkp/McQbmJt4fTstbk0nkAl3dM9FRxIN+/VriPA8s7kB91tVuzs0JMEBFCeL8biSnWzhs3bBN9XUMgKyGnNSLNgzoduBN4ha1DZcBrVPWNIvLfgNeIyPcCvw98e9tAZSHbRSnxf75bNmMyK81fMxF2rFWRc4nY8dZ1Aoq1nWKpPR8u4vEjJ/jdVEsAACAASURBVIdiEu8x+H01Pbvrjh7r01Wht25igsXJqcuyGGXbdnJqmtvkIFKSnZt061J6QK0D+ZXdIQAXtnpWQm4dyA+vm3qTdR8HlnYgDyfdAkuvdltcn1Wq9LzzirXrFEWF4zX2b6l9rTvFd4y+fyeJU0tQqvoB4PGR7Z8H/txiY7l5UCVBuQeHIyvnEjGyK+OGNkbbfTPXKRREAMRu1TCt54sijiJY8Lsucg93PaJSklSXdNw6BBCLGLquasKtP1abQs8XQRQ1p2BuE8TJaVkfPTAEVTiQj/ZPnY8erEBCHmm3UnLqMtdqzeQkMj/d5VbFqSWoVcN/HoURVK5qak86b3XUy8zNklmBhJGSVxcu7Iroon7FOXniCOlGPmFNqrbdQmfZ3qerCKKuX+Nx10hOXcZqG8Pfb8jI9Y+TUyiGCB3IDz0fPTBferb6Vfn4jl2KveJAPj0sHMid+ziwfgdyn2i6pt6OqtKrG3eB/RsnJW86tEA/pfjODrRIrdn0SZZVagEutefWdcpEGFq1QtUA1vzednOePEuKWO3Jn4QbiiK6ItfmOlTTA3UV4ofwXMrjLhY5rXONplUo9Nw4XWtNvhDC7wtVcnL9XOTk2xXdnMwq5FTnQH6ubyP1GgfyrkuxN9kVFVGTax+LnBpUevPbW+pNrm+wbWk/vbpt4ZhN7buQZapBrRSJoAKEEcfYpvRujsv8fy/zbIx6wjkrijg/7M3ZGJkxm2+mOlFEldRcuvDoN+YRAokojiKCOM7FA2vHiEV8kXFCcoqN3UUI4eAvxe4si+rsioDCsuj23QF7Q2tXxITsxlWAWgfyWvdxiKr02pZiN208copFTR1Veo3E5G1ftUpvbsy29gE5RfseY1SVCOoMQawizv3T/Ym642luDGDdirg9k867aFcf7WViiUmKxQhjNkYV+bdWJeBRUQTNbhN++s5/yEeXhm9++0vjKCKIoxBT1yiziZy6WBX5Y3QhpzohhINPTr4QAqh1IHd2RWCWYr+w3avaFR1cJRvbpdiP4kAeTrp122J2Ra7NMiq9WPSxLpVew7ZO5NTlfJqOuyasWmYuIk8DXgL0gJ9U1RcH+8XufwZwE/huVX2v3ffTwF8CPqOqneehdkUiKMqivyOWsTcB8sbhtGiXWRIaZBl79qFRqPYyitRel9WYZ7kWD0V/MUR3HP93efzqGLEaU1vKb1VYZrLtOibYzo/ROkTneU2mbbeoydWbupBTmM4Dog7kOwMzr+mKW4p9qxd1IJepFUAsM/E2TOdBvSOEP+nW/q5T6bWtdltLTl1VemHbjmm6zlHTIuR0zDBOEqv5kFsV9I8D3wI8CLxLRN6gqh/xmj0duMf+PAl4qf0N8DPAvwFeuZITCpAICsC6MvRsTcDNdQJjwDnLTeTUy2Bvu19IfMEIIs7bJTQGWZnaE5HKQ0mDh6IfNc2Ch5kfOTksktpzD9N1EFXs4b4JxGTGaW+zyLwmoJGc/PqSs7oKJ3hXj62Fh54/6RaYS+m5SbdXdoectzZFdQ7k+cjNcVrcgTxM5wH1jhCxutGyKr2GWlOjVVHYt8tri4XJqQu5nQRhrTaCeiLwMVX9OICI/DzGz9QnqGcCr7T+p28XkducGYKq/rqIPGZVJxMiERTmG0mZLtNCEAGl597usMdWr1e4ROxa5VQvK1fE7TJHyQkxYoq9nkhQu2onmXCYVuujlnRgl36LuECsQi6+rjpTOHZITK5fjJh8hV4saoqRk+9A3sVH77btfjHpFpp99IDmlF6dj15b1OReh7UmM9h81FRDUEvVmux5hW0qOGvkhClJLCAzvyIi7/Ze329t3hzuAj7pvX6QMjpqanMX8FDXk1gWiaAsVGFiFXvOzsjBj5zOeyvigiG37UAUUX+MMnIKoyZYzWTcWG0qRhJdyamuVtMmgNj0qKmLCCI2fpjO8/s6hOk8oEjptfnouYm3C/vowdEVei1RUyeFXiTttnKT17ptR1Hp1cxvqu1/gqm+BWtQn1PV+5qGi2wLP1Vd2qwFiaAor3SMNNyk3aGtL233MjIkSiZNtacu9kUhVqHYOwqWlY2fVnJqG7s08cVOqnbHiJNT7qX8XGrvcJoz8dR7bibCdi9jd9Dj/FaPc8OsmN+UTQ6R8U0AO7dpYuTjdm7TovOaitexpTBCu6KyQ0ROLc0EUkdONV++1iGEmBu3Q/tGwmzre0xYZQ0KEw3d7b1+FPCpJdqsBYmgKCXBfmrPkY0zgHVLte9tVX32uqb2oIycYg9Ed8w2SXrX99M0TNu9vayx61HTecuq88KaW23UVzPWuoQQk7xU6TnLophdEVAbObmoCVjegbzG5BWoX1SwTggB8cjJ/e6q0qsjgg2QkDf23wCRxIprUO8C7hGRxwJ/ADwL+M6gzRuAF9j61JOAq25Jo3UjERRl8dqtjOuWxYAytbc76DHIypVxt20O2L9djdlnGV0V9Qwt1/3pWns6KtxhuoxV77692SKI2HG7kJM/jk9OdacZTrwNF7EEKv/zWU5BRj5BOSEEVCfdAtxxbsjeICvtiqwDuXMfB5Z2IG80ebXbYktjQEQIAfVpvaOo9GLrG52ASq9xjE0gJ0wNalVefKo6FZEXAG/GyMx/WlU/LCLfb/f/BPAmjMT8YxiZ+fcU5yLyaswCsVdE5EHgh1T1p1ZyciSCAigsZpxD+bCfFS4Ql88N6Wdm6QyRUhDhu0TE4JMSmHWj6h6AsXThuqXiXUmlKZ13HAKIcrz24y4qhABqySmcp+ai7KgdlUdOvgO5cx8H5hzI97b6VghhJeQ2atrOqw7kzn0cWP9S7HX1pjaT17BPZfuCUdOmCSFajnlSWKVptKq+CUNC/raf8P5W4Pk1fZ+9shOJIBEUgLpvvubhszPsFSH0xa0+g8zZGM2viCsiRTowfHjl3rf3pnRQrHYVTuZdJboQy7rVeaskprpjH1UI4Y7ZRaXnp/Ri6TyoTry9sjs0Kr1CQu45kI9vzE26hQaVXkeTV4ik9JqiJphX6bm2sT7+Ptc32HaqVHotxzwpCGXt8lZHIigLNwm3J2IIyt7Ifs3JT/2FfV3tyHcj91VefjRVTBvB3xa/48KHchtpuf2LCCyO6gKx6mipHLf+mPNtm4nJjLFYOs+9DlN6YQp3lnPiPnoQSenF0nl2e61VkRnIu0k3xEevYfvCrhBdyWnDiKmAQJasjs4ORExO19WbzllnCKCoOe0OenP2Q2X/6nhOSt6k2FvY6RxtlI3H0OUQR5WNH9Urb368bseNnUObCMKN16TQ89N5pn09OTX56E1yZZDJnI/e5Z2BXbOpo49eS62pdhl293rRBQVhPmqKElBNPx8hgdlzirWpfV23LRy3ccwOacaOx9wECES/KN+KSAQFRU1pZ9izy2ZkRQQyyKSy4GCX3G/jSrgNc50WTSvn6JGk6HXk0oWcuqbxMpZX53Xr00xOlfNpIScnHTdfBtqFEIXbyCwvJuE6IYS7j7asmMZJyHcGwk4/Y7snyOEBMh0BIJMRTEcwHcN00omcyr8jD6tY5OT3nVPmZXM3YO0aR10e3rE2bQ/VdZPCLUBOkFJ8Zw7O4PV2TxDhIihXc+qJdF6HyQkiZjVPZheJhXDPxE7zeyLJt67pva5zmhaNmtzb9UmpiwuEyGojp1hKz99ePedSPu4LIdz/zv2fwsjJRU3AXOSU2Yh7b9grVrsNIyfZv17aFUFhWbRw5LRKk9cOQohiX2X7BsrHl1Hp1Z3HCqArFDUgklJ8Zwk9gX7PuEUPe+W6TuDWhhKvbjR/Y1RqJcSJqWefAbHUXpeorKlmUhmrgZyWtShaVPRQR0p1w/iChDa0KfTMODYiolvUFAohZnn1C4T7//hCCOc+Dsav8dAuy+KmIji7oks75iNWcSA/vFaQk47MJNxODuQd7IqgQQhhOpfkFEnpQYScYqm6kJya6jonJYQItrcavW545OQgrFbFt8k4tQQlIndjHHQfgXlO3a+qLxGRHwb+OvBZ2/QHrYyyaSwGmXBpe8CwJ1zeGRQhtJOT+/OKwkjKLM+htRET1KX0qtu6uBl0hR+V1IkgjiqAWCSF1/ZeVhExmXGa600+McH83KYYOTnSitkVQWln5Fa6DSfdAnMTb/1Jt8DqlmJvsisynda6FPupVOk1HHdTkVJ8m48p8CJVfa+InAfeIyK/avf9mKr+y64Ducjmth0jKT/nycyLNaIaIhUninA1iTrLo4wqUS2yfHkXuHOq+3JVFzUtU2PqksLr+vZWrdCLHT+MmAqCWiCl5zuQu3Sea7vdz7iw1efyzoDLu4MiYjqXGcKRG18kG+8jo/3SgdxOugUayamTEMK2rYghYuk8s3OenKIEtOSCgnbcufF8HFPU1DpGw7E3FSmCOgWwVhsP2b+vi8gDGIfdpSACw57Qz4TtvhTfUFztKXzYxu4Pf6FDKB92fmqvba0oX6Ye39/2TmLn5fWv2e4fv3W8DsfsVEdbgULPjNMsH69L57m+PjmFEvI6B3KXzoPSgfzyjiEo50A+nI3I9r8EEHUgXyidB1VyaouaTOf5dB60q/S61Jpi7ew5xtrUvq7bFo7bOOYCVkUtxzwVWK3V0Ubj1BKUD7seyeOBdwBPxvhG/TXg3Zgo64uRPs8Dngdwx52G14wJLAwzKW4A9xASqT4AYw9C96DLbM2qqxTUpQjD6KrNWNYJDGLbi7E9Smoip1WsYBs7fnS8jiTbxaYI5mtNMQGJE624dF7oVg/z6TygSOmFE2+3+lnhx3hpe3DsPnohMZn9QUovls6D+blNkSjpVAgh/PM6K+QEVmZ+NgjqdP+nABHZA14LvFBVr2FWe/xy4F5MhPUjsX6qer+q3qeq9124fHs4ZvF3L/hsL+PuEKb2VgH/QZ0hzeII1k9OTqLdRE65ro6cim10IyfnzNF8fmbnJDdLYZifUkI+mZkvDT375WN30PPk40Y6vtUvHcid+7jMrH+e70Beh0jkJC7NFxCWay9ZFhVDzEVOUJ9660pOHjaRnFpxyskJQOxqCl1+TjtOdQQlIgMMOb1KVV8HoKqf9va/DHhj60CexLjoa3/3MyMzH2Rlqq+6FlAZ6YTpu9gNEhNSNBnJhsvCL4LwgbyoA8Qq5y8tSkz+8WNRExw9coLq/8xFTkZC7iKoMnLKVYvIyQkhgMKyqLArOrhaEUIAhpzGh8e/FLtXawIaI6djU+nVbEsqvY5IKb7Nh5gw56eAB1T1R73td3pW8N8KfKhtLPOgU7tgoVrysTUjMem+flZNv/keaw4utefgP/zaak/LoOkLUugn52NVEVNs/lJ0zBWIIMw4cSFESEz++47NbYL5/4cvhHB+ekB0bpNvVwSUDuQH1oF8fICM9wv3cWhR6UHz3KaIfBwaUnr27652RVEhBMyR04ksxV451yXnNjUc+zTCiCRO+iyOB6eWoDC1pucAHxSR99ttPwg8W0TuxfDOJ4DvaxvIpcAOJzkzhWleSpUzoZi57T4fvmLPn5zqak7zy2fMh9uxh2WTTB3idalYaq9KTuHDW4O2i6OpDleMq+ba1TmM+96FdedSR051NTbXJ7YUe6jS8+FSeL4DuXMfz7UkJ2dXdPvuoKg1AWzrmGz/aq1dEdSo9EL5ONQLIVz7ZU1e51R8NUII19dvSws5JZXesWNVy21sOk4tQanq2yBaeGmc81QzFrMcro+nTPIBh1PlvMnemPkxPRNFZdjPPV6B3kv39TJLVFYC6B6K7iHsO5+vCnVpLSrnON9mEWJaNLsYega2kVMslVeONS+EqKsD+uk8oFYMYfaZ3+HEWz+dBxQTby/tDOxPv5CQDycmfVfnQL7opNvi9Uktxd41ddZhJd3WbbFxa8dcYm7ThpDSSh0kLJLM/IxBsSvqjmfMcuVgkhekM/GiKWcqW4dwwcKuCCOnpjqVQ90hQnIK+61KIm6OUUZJfrRkxlBEJEqObXWmcvz5qKlJBOGn8yAepULpCAHMOZC7dJ7z0NsbGun4ld0BF7Z6nB/2OD8QssOrZIfXAeodyBsm3UaJye2PmLyaNh451UVNdswmcloqalpmQcFF60yxPmdQpdcKWU/JYBORCIryAeeWSLgxnjKdmUszmmnlAenczF06L0YUIvPRkpOSx7CMAKLuffjjlUtGdO/bFW3k5P+uHaPh2CE5NUVNMasiH34KNddyQUEoffRuTmZFOs9NugUsOQ1X46NXZ1Xk9i1qVVS8jgghagjqVMjHU62pEUJ82Z9bEYmgAMUII0ZTEzm5b9IA++Oci1vKeKbs9I17eC+D7YG5QTLKfLAjBlcX8iOptvqSj7rop3LONSKF2AO6CYtESxAnpbpUXu1YkWP7qTz/mF1TejGFHlTJKeaj56f0Qh89MAq9i1sL+OhBOzktqtCLRUB1tSbb5sQUemuqNSViKpFSfMcEEfk7HZrtq+r/u/aTASYz40J+OC0fiaPZjFwHRcrP3ReOlOpSem3O500hemy80IIHupHTKqIzR0j+38suWrjIMevIyVfpNc1tCiOnyUyLJTGcCjPPtYicBr2MnYFJ450bGrLY6Wds9YSBTs3cpom1KJqM0MnYnsisEEN0EkLgkVNkXlM0cjKdAqKR5uimCzl52CghREI9Uorv2PD3MBNrm+7M7wfWS1D2YTix38IPvAjq6uGU8V5uI6keqhTzosDcKMN+9fT9xQWhFAVAfVQU29yVXGIR11HtkupSeMuQ0yIiCP8c6+Tj4Wq3bXObwsjJuY+74/uRk29XBBjLoukB2f61qF0RUB85dTB5LaIm175GCAFxlV5nk9cYESwrhIhtWxU5JYVeK1IEdXz4WVX9J00NROTccZ3MTJUc5fp4Vjz0ro6mTHNTl5rl/SKS6ruIBkNWbuKcavwbffiNx3+oZlaWnqs21ot8ovMJaJXEZMaIp/DCvxfx7VuFQs8XQrj+TeRULo9RdSAfTctObuJtzK4IqHUgb1yKvclHz+3vYlcUI5mOc5uKfi2igyMLIWq2L0Qstyg5rUPB53BG+OlkCUpV//dVtFkVxtOcWa7sj6dM7ZP4xmjKTJWroykzG2X5EBGGPTNBt5cZFV/Taqwx1Lqfd7gLu5DTItm3LsvKH6XWVB6nGzn56TwnhPAnSbv0XJjOA2odyJ0QApibeHtxq8duT8lufgHATLwd7SOTg2Li7dIqvbZJt65/TAgB8/WmJmIK+/noQk7rFkKE55XqTQvhKCtpnyacdAQFgIj8LeDlwHXgJzHGrz+gqm85zvNw6aKD8ax4yO1PTDTlhBNuMq97RGZSTsztVepD5RpDUCr7HJoinXqi0Yoa0H8YV96Hm5fVgeDqakp1WJacHJG4v/2UXhs5hUKIQoxi63+hEMJFSDEHcn/SLTA38XY7H5l03shIyLPxgZl4e7BvUnpdVXpN8vHidW+emEynxeTjXVR6XYUQkbZrJadETAtDSBHUceN/tYsN/gXgDuB7MIR1bASVe4QytsagADcOp4Wyb6bK9fGUWT4oIqlcS/Jxfn3uQdykKvPhu6C3tfX75KoV/8C5NrWy9voUXh3CuUuxU2tzHffPJxY1OWWi+ztmVeQTHZTXKEznAXMpvUEm7G31O/voASalN5k0q/Ta5ONuW51VkXkxn5pbwEev0s+hjZyWIaaa7UmlV8U603tJJHH8cP/NZwAvV9XfknC52TXCPSJnuRZE5R6mY/vNezQ1Cr+bNoIaWwJzNadMTF1KIuo9P5pyD9dMpFz0z3twt913TcaydYgJHJZZXh3i5NQ1lefgixzCfk0pvRg5OdJq8tGDcrXbyzsDHnau3UdPx3al26aJtx1XugXm5za5/mHUZP+ulY8X+yNpulhKL9YOTl6hdwuT07ohLasX3ErYFIJ6j4i8BXgs8A/sCrnL2MQtBTefZlbz1J7l7lu8eejlqoyn9qFJGRk4sUPPOkosi7bak7swYYQUPsDn+i1Qi2pDuNx7EznFjh+m9NycLj/tZ16X5OQQToCe5LlJ7c3Mj3OJcOQ0yITtXsb5oXEh3+oLO3Ye204/MzZFkxEyGyOzcbE0BlC/PEaTfNx/X5HVbovXURFDVnmYzz28O6bbGre3TfJcJyHcYkKIk0JK8R0vvhezftPHVfWmiNyOSfMdK/zIKcTYTuIdTfNC1QcwnfWZ5KWs3DlIZDKvKAs9+fyPns/GMfPYMHKqpsvmRQNHQSyd55vi1pGTXxsKI6fQrsil89QjpOoyJlQ88dy4LmpyxwsjJz9qgmrkFNoVAWSHXyqFEIFdEdAYOXUWQtg+jUIIM0C9EKLYXxNVwdEjpwXIb2Efvci+RE7LI7mZHyNUNber4n6XiCjwNlX9pWM7PmVqLwYTMbkUn6tFmYfWJFdGU614wA2yUtUXGwuao6S6fX601lVk0ZWsmgxl/bReGzn5f9cp9HxSImjj/gehGMLBCSGAqAO5T9DOsihmV5TduApQ60AelZDXpPTK13EhhNmfNQshoCCntZi8nuRS7N6+s0BKa60/WZwRftoMghKRfwt8BfBqu+n7ROSpqvr84zwPn6CcAs6RjKtPHc5yZl4ENVMzmff2nT5j21+gourz3SZm+TwZuNRgEyoL9R0hVbfI3CWHWATln0d0oUXmySmeBpwXQvhjhgTrFhQEuDEul2J3QohMpJxkay2LfAfywfSA7OAq2dguxR44kNeq9JqEEG5/nRDC7W8SQtgxV74U+3HNbUoqvWNDmqh7/Pgm4HFqn54i8grgg8d9Er2sSkoOPrkcjGeFqg/M2lE37Lyp8Uw9SyQp3CYyKZfg8GsqUpBg9Twq0Yj9HYucmtY48sdahpTq9s08Uoql8sy+6jnXHd6d/0x1Lp0H1Q+hS+eNZsZ9HKg4kEOp0ru0bXz03MTbi1s99oYZvQMvnTe1IohFJ97W+OhBgxDCdGgUQkBkbtOCQoi5tkkIcew4jugJUg3quPFR4NHA79nXdwMfOO6T6GXzy2mEZOUiKUdQZh0p85C8PppyebvPNCCOnlTnJOXMO0n47ucxeXquVYeKWH3K77+IDHVRt/NQuODXmVzbLlFTbG6Tg09Obm5TqNLzU3rb/ayYdHvHOSMhd1HTuWyG3PhC6UBu3ceB+om3NYsJFq+7LCgYEMuRrIq8bRtv8hrsOw3rNp0miHSb43grYFMI6nbgARF5p339BOC/icgbAFT1f1rnwQU34TMeQfkwbhMmkgK3jpSZK3V9ZKKrsRVE+KP0e9VUXyyy8ffVkUaTU3mXiMpHV5lkjJwUk2pwuyqOFjUGrj6BuajJHxPmo6ZJnlshRLmgoG9V5E+8vbI7mPfRm43I9r9U66MXTem1rXTrXrfVmsKHtJ/SW5eP3nHUmjqcU2v/huOeVhxX9ARJJHHc+EcnfQJgiMmfp9QEv15lFHowmhmrpEmek9OrLHSYIYWyr+vH8qhO5ItGUjHU1Zl8cirmVtVETT4xuXYx+Xh4zR2JOQfykTeB2mHQE3YHJnraG/bZ6WfsWPPeoU6RyU1kOkImI5hNjAO55z5eR061PnrutW/y6q5JJHKKkkzMR68cpL7fonWdLgSw6sipK24xcjpunJEAajMISlX/y6J9RORu4JXAIzDBwP3WjeIy8AvAY4BPAN+hql9sHsu5kpsPTV0E5T9Ux/Zb/GSmHFpp8w1rLHt9NOOO3dJtwqwua44zyLLaOVLFl2v7h1Or+dv8c/EjrrBNU6QVOj7U3ewxcvIjpzCl1xQ1uUm3bryQaML3EoucnFuEW6zNRU6+XdHF7R7D2ciM6SKn8QF6eIM8FEJAd3JqcIQwfeYjp2VWuy36ea+PUwhRGbetfRJCFDjO6MmJsM4CTvR9isgbj9BmCrxIVb8K+Ebg+SLy1cAPAL+mqvcAv2ZftyITYdjP6GVxggol6KZ2YiKBg/GsIkE3Dugm1TeemXRdJuZi93tV0QSU6b7wAW8Uf9UJq659DG0LHea0k9O8BLxM6bmj+go95wBfTQNWf/uOEO7Hh09ObtKtIaYZ1w4n3BiZJTJy1WLC7flhjyu7A+7c2+IRe0Mu7/S4vNNna3ydbP/z5ufALMuuN69WFhUsoiZHTpUUna0t2Z9KvSkgJ8my4iec21RJ6TkxROZvn/+p9vP6OngE1mhX1EZOYRtvzEROpwNi69ZtP6cdJx1B/SlXZ6qBAF8d26GqDwEP2b+vi8gDwF3AM4Gn2GavAN4K/P0uJ+NSfI6oHKKGrB5hOe8+Zyx7YzwtRBMAl7f7zHJzUxmXiWok5QglfHDXoSlyqr4fZ7RawpFSSE5VAUa8zmSOWbavIyZnqeTLx/33NlMtirx+tDiZaWWlW38pdqhOugW4sjvg4lYvalcEzE287RQ1NcnHi9fBgoJexNNptVv3uykVuKgQItK2a70pCSGWx3FGTgUk1aCOC8/s0Gbc1sBO8n088A7g4Za8UNWHRORhNX2eBzwP4NLDH1nZ1xRBzUVSNt3nIqmKseyoFFJMchMl+ZGUj5x5IgwX3vPhS7wr4zSQlh8d+STVRQThv+2YfNxfddeXj/vk5Lush1GTS+cVRq/jaSWl5ybdXtkdFgR1ccs6kOuYbP8qMrpeuI8D9RNvQzuiOiGE21Zn8hoTNSwrhPC2rcXkdVFiCvt0kbW3jXGL4UTIyeKM8NOJrwe1cO0phIjsAa8FXqiq17qGtap6P3A/wN1/7GsqT3qfoHzhRB2cRZKLpG5OZkxnZrFDMHOlDiY5s+2eO2d6nqy8kIdb9Z6rPYWKtkVFE44owm4xcgrrTP7vmE2R2x47Xkw+Houa/LlNbkFBR1ATe00HmUnphZNuAc4PM4aTfbOg4PhGZdItEJ94GyOnZU1eYzWjMGqqIai1WBXFti0jgqg7rzOu0vNx0uR0ViKoU30HicgAQ06vUtXX2c2fFpE77f47gc+0jeMeuH50VK41VJWet/n15arFEh0Hdi2iWQ5XRxOrNMs9jAAAIABJREFU8HMRTtlvkGXFirp+valtrkNFlu4RWLi97v02kVNRP8rLdJ4jp1znyclv48jJEa1PTg5l1DTj6uGEq4fTYj6Zu0bbvYyL231u3x3yqAtbPOzcgMvbfS5tZVzayhiOrpLd/CLZwVXk4Bp6cB216zbN1Zugks5zPy5qCq2K3M9cSq83aK4ZZcF2h67kFGtX/MPXTE7+e3HntCg5hWMkrByCnbPZ4afTeCJPE5GPisjHRGSuZi8G/8ru/4CIfH3XvkfFSaf4loZdjuOngAdU9Ue9XW8Angu82P5+fZfxfC++iuXRAl9V/EjKn8w7yZUb41mxTIdzRncf4V5GxA7JPNjd82HQkyKtF0qzY1Jtt1ZUHcnFHCDKfe792N8VgUbkfev8shiuT+wcnF2RS+k5Rwi/7e6gx96wZ1J6rtY0zNiRGbJvfPTmJt76k26LE66m9Gon3dptx6LQWyR1tiKF3sLRThJB1OIkoyeHVZ2BiPSAHwe+BXgQeJeIvEFVP+I1ezpwj/15EvBS4Ekd+x4JG3FHichfEln47n4y8Bzgz4rI++3PMzDE9C0i8t8xF+7Fiwwaizhiyj6n4jP7Y/tgPMsZz3L78M4teWmhzHNw93v4ID/qPKijwkVEIfy3G4vCfELz600zS1xOyefmNh1ap/ieGHuoQSaFIKKc25Sx3RMjG58ckE0OiiUymI4NOcWWxmiYdHukuU2R6KbWR68uIlqmrtPlY7LoR6npvJYd4xbFJpAT1ligy08HPBH4mKp+XFXHwM8zrw14JvBKNXg7cJvNTnXpeyRsSgT1LOAlIvJazIKFD7R1UNW3Uf9F4s8tegL+elBOPu6jKZIKIy9fNAHObaJM9T38nF2iwxvDSc/9e8pFUmZ//TyocLs7Zgx1kZMfGfkKvVjEFJOPx1b37QXRnIsoR9O8cCD3I6etfsbFLbsUu7UsqtgV7V8toyZojpwCLCWEgPrIyb/2XU1eW+o6jQq9oO1aIqckhGjEZpATIAt9h7giIu/2Xt9v6+8OdwGf9F4/iImSaGlzV8e+R8JGEJSqfpeIXACeDbzcLrnxcuDVqnp97cenJJZZTjEJN4Rfk2qDS/UBRbpvkitfPJgwzrc5mOSoFU04wUIvswseZvX1o9g3o1B2DvH61SrIKRRLtJET0LgUuxNC+HZFQGFZdGErYzg9INu/VrErAuYdyGuwtBDCdCjqTeVrqfQ/lSavYb9ETo3YGHICRBXpnl35nKre1zRcZFs4eF2bLn2PhI0gKACrwHstsAO8EPhW4O+JyL9S1X99HOfgR0Ku/uJIxhdLhA//ulSf6zvLjfO2i6QmuXJ1NOGOc/1iv2q5Eu/g/2/v/YNkyar7zs/JrJ/d1d3v9evX7715wzAw80aaYYCRDYiFsDwKgYwIeSXZS1gobBErhUZri42Vdh1hLEWsZIf/wL9EhC3b7EgmYG39sHYtLFbGAkRYi0MOW4y1WIBAC8bYGs0sM6MZ3ut+Xb8y8+wfN2/WzazM+tFd3V1Vfb8RHVV5896bN7ur8tvn3O85JwhKLSZzjXyb28/uR1mLpLhnVRbPBCNSsu+L5912GJePD5MkX4rdcelZVWOxFHsv/QVbld7ltGbTpZb5nVgJedi7Y1R6/UNk2DXZx2212ynkVBrbVBbXlL6eSpLXeaymdK25ecdvavJx1bxVYyqIaa451hTLREpj0IUVHH8ak5zb4l7gmRn7NGYYeyIsBUGJyJ8GfgB4APgnwBtU9TkR2QC+AJw6QVmRRLFwoSWrIgkVyWhaAcHDXkScKAeDiDiBl7pDoqQFmKDUS63QxEg5rj5XAGHJwM0VaMknl+IoJ2gwZDWrxVQ85/Zx57fkFBeuHxbWUVZQEAyh2f2m7ZZJ8Lq/2WCrEbDdNISxGSrB0Yuj8hjDbnm12xLMLISA8timMtdclRCi5LV0j6pAThOJyZ2z+H5SW9m8k8Z5+XgllpqcAFkcQX0auCUirwD+ELPd8n2FPh8B3i0iv4Rx4d1OY0yfn2HsibAUBAW8A3ifqn7KbUzLv//AqV99LJ5nZHVUVdmdxdWXWWTpftQwNkQVJSYdkpVTHwwiVOuZ1WZl51a5Z+cAQzrGHQgkeQVfUlDMWbXgLK66itssrXRr5eNFcnLXaF16bkFBN1B3ox5mgbc2j95WM6SV2Dx6d3KBt7PsNRWJKWsrK8NeJCZzkHfnZW0VsU3TrKaKzAvnnn3cXZt3541h2ckJlLGaZcedSTUSkXcDHwNC4AOq+nkR+R/S8+8HPgq8HfgycAT895PGLmRhKZaCoFT1+yec++RZriVOLajYISg3OSyM70XZYN5JJePtA9oS1UE/ygjpds+QlbEwwjT8RLKkqGAe6rbirCWXMEhTylXIzKeRjktMdopc8C7jLk+XnOpBkLkT3fIZlpSsCMJ154GRkBuXngm8NRLykNrgEOmZLcegdweJ+uXVbkswc6XbtG1MBGEmKRcznKTS7STr5KxTFbnrKpy76O48i+UnJ8wXdHEWFKr6UQwJuW3vd94rUFrdvGzsIrEUBCUib8S48R7G+DVD4K6qbp/F9e1zvIxgqkjHYlIwbXGsJTr7akmwHxsqGCZJLp9d6HqWSoQQtt2SRtF6KoO73+SSkx1q39vhxaBbu4ai5WTTEtn76ccJvTjJrMRQTFFBgE6a7HWrUWMzlZCHUQ8ZHCFDI4CQeIgO+7nyGPNYTuY4LG3LWU2jSQqW08il5/Ypez/Vcir2K1vraZDTJMxjOV0QrAQ5pVigi2+psRQEBfwMxn/5fwCvA74fePC8FjO2B+UQSxnKynQkqkQle1lHab4+uycFRtU2TJTbvYh7thqOhSRZoJp199l9n3nuxe1eZTkV95kABtG4Qs+SU1EIUSzFfjCIs7FWpXfZSfJqUxaVpSsCTmY5TdhvmkcIAcU0RhUuPafNV7tdTawSOQELtaCWGctCUKjql0UkVNUYIzX/t+e9Jigo+yqIqqjsGy/N4cRIxSZfn83bB3CnHxHFJkFqnLr6Eg3TfH1m3lYtyJV6dosR5srJTxJrOORU1a0oH3ctJ8jHY9kM5GWl2O24VhjQaZqaTXsbphT75XZqQdWFoHd7JISIemjvLgA6HFaSUzHANmsriiMmJXmdVQhhBi5eCHFaxFQcN8s+2LQ51hwrR04s1sW3zFgWgjoSkQbwGRH5W5gyGptnuQC79wTjgbq5LAkF8inL1xc587hw57GWFMBhL2KYJGkdKUNUqrUciVhryk15RGKuZ2tLWVece1nXAppETK7AwVXouffpYlIpdjvXRj1kx2YgT9MVASZlEUPk7gFB/8DENjlCCKBSqVdZ6bYoH8/aSkpjSJkSr0II4YzJzrnj7Fi3L0tGTl6lN4bVIyUHiieoM8ZfwOw7vRv4MYy2/s+e64pSRAXSmpQs1nXxuVYTMC66iEcWVDfNMnFgXX39iFjz+0gBMiacqMomMVqDEpe481yMrKqRnH0qOTkuvaIQAoxF12nUssBbN+gWMIG3vTtZVogsA3kST5SQzyUfh3KX3rxCCHvMlL2mKrfZvPLxCe0zFxN01zYrOV0AUrJYaXICjIrPE9SZQVX/S/q2C/y181xLFYpWkX0txk2VIZfhwcmKbtv7qUssk6Cnqr7DQcRua/TADcQU7bPfr3gCQdn5h2kuwNJ1lWQeL67XKvVcAhvJx5M0Q0ZepWcDb/c3m+y0wkxCHvbuAJQG3k7aayolJqiUj4tLCoVKt+kEeXKZQk7HsprOo2bTLOuaZY41xuqTk4Ek0Xkv4UxwrgQlIp9lQmoMVX3NWaxDCy6xMlgSikpk51VwLaCykvEWbpkOW1XWElW81TTrYqSGs64+rMQ8GVf4mf2jCtm7YzWN3ILjrkt7D7ZuEzDm0hvECWEgtMKA7dYoTZENvN1phiaP3uFLBAOzvzQWeDtBpTeTCMK2lSn0XHIqcedBdaqi7Jxtt2Pd42K/dF2564/f1ExtPgP54rAuxAQwlm16jXHeFtR3nvP1Z0Kxmm3uXGHvCqA2Q2LZ8Tny7r84IRVLjO9n2dIcprR6uaov1vJrjSTm1eSU629VeilB2Qzkw1gzcrIqvY26IYadpslAvlkPaNcDpHeIRH1kaAoJSpzWahoOZyanDBXS8THLyUyQt4DMLy/XpVSJV9U+r3z8vIQQx5ljjbFW5GTh96BOH45rDxF5OXBLVX9DRNqc49qK8vDRe0rbbUzTNFefi/x+leaCeW3BwzupaAJM8GucjH4lG/WQI2L6UXkRxLI0SK7l5O41uYpAM8/IIisrxV5mOVmrCcgsp42SdEXARMspJ4KA4wsh0teZ5OP2tcwlNsFyWiohxLS1TVvLmmItyQl8HNRZQkR+CHgC2MXk47sXeD/HKJtxEsxCMK6rD0ZZItxcfpDWkCr5ckwKBh7EeVffwSDK3ITW3Wf2e8I0l11AH3fvyLwO4/x+kpsItigft+RULC8fJ5SWYu/FCXGiNMKAZi3gckpOpjRGugeVpiwqTVcEWe2mieR0XCFE8SHt7jfNmkfPbYfp5HQWQoiyMcdR6XliWgN4mflZ40cwxa/+PYCqfklE9s93SdXI144alemwbjBLXtZKKubTq553FMxrRRPWOnqpO3TSIRnUQ6EeStYnUxpm2SgkI067VuvSsxxWRk6ThBBxorRq4Vi6ou1GmMnIbcoiG3ibC7qFybFN8+bRg3IhhOkwbjWVElCF7Dy/wNEcFuedR69wzhPTuhOTA09QZ4q+qg4k/XCJSI0J4onzRJmKz1o+buZzY5nk8/W52Reqysq783UHMYMotaD6RjhxmMZPWbKrBwH1wCrsTGqhOFFzvUDoD0dydtelZ647Iie3dIYlJdedZ7GZ7jVd2Wiwt9EYBd3WlKD3dYCxwFtXpQeUW01lCr20vVQIYY+r3HkwmZxmEUK4bZwOOXkhxOJwccjJW1Bnjf9bRH4caIvIW4G/BPxf0waJyAcwQovnVPXRtO2ngB8Cnk+7/Xia0PBYMA/6fJslEYuii65IYsX5snEFi8rGWFmC6w5Glsvt1IK63TNlOo6GMa1aYKyoVMXHcOTeCzHJa90cee4emiUn150H5Fx61p0XBpIJIDqNGtc2R4G3WdDtkQm6BUy6IrfabYUQYmJcU9o+S/ZxKHHnpeMXnuR1QZVuc3PO2H9ucvLEtJYQQGIvMz9LvAf4QeCzwA9jsuP+3AzjPojJ4/e/F9rfp6p/Z54FzJrfzg24tcduGiTXunFhCwjOs56jNJ8d2GBezVx9Nq1QqzYqbmir7dr4p2FiyKmoQrSEa915vchIx4HMeupFZv5GOJ5Hb7dtyCnLo9c/zJVi1/6RSfKalscAYzWNCSCgVAQBTJaPF60m2zZNPl4ck2uf02o6L4WeJ6ccLho5GXiZ+ZlCVRMR+RfAv1DV56cOGI37lIjcf+Lrkxc+FFHMCmHaimmMIE4tlSxjuZtdYUpFXrdWkoWVmwNZmY6XukOiGG73hplqz5JYPRRaGtCLTDbxfpSQ5FyJ+Xty3XndVARxNIyzdbdqYS7oFmCnZfaaOo2AsPt1pH/XuPQq8uhBBTlNEkHA5ASvRasJ5lfozSOCcNY7NraqbZHk5EUQOVxMUnJwgVIdneunWQx+SkReAL4I/L6IPC8i/+sJp363iPyuiHxARC4vYKnAKGvEuGtusR8W19Vn5eJR2tZN96D6UZLFI1m4Vtow1pyar+xezHgzTy/9seQUBqY8RrsestOq0U5jmtq1gFZNCAZHyLCHRL1RXFMco3GclceAGcjJacvJx6Ey8FbHrKCSvaZZ3Hl2bAFLRU4eOVx4ckohmsz0s+o473+3fhR4M/B6Vb2iqruYksJvFpEfO+ac/wgjVX8Mk3T275Z1EpEnROQpEXmqe/ulyslms5xcFR0Mojhz+Q2i/L6UtZCKcVDFtuK1bPZzK0G/3Y+yH0sugUiWOHaYGBdfkO6hWevJBgAfDExJjJd6Qw4HEb0o79bbbdW5stHg3u0WVzca7LVD9tohu+2Q5uCA4Oglgq7JRK79I7R71yR6neTWC4Jxy6lYUND5GZOPu0IId88pcEhrTMXnjLNt5gOQt1DKVHp2ze58LorXK+uTYmIOvDJxR8n8Y8Q8aY41hCcni1QkMcvPiuO8XXzfD7xVVV+wDar6FRH588DHgffNO6Gqfs2+F5GfBX6tot+TwJMA12+9qtKh6+415Y4nWE2WqMqSxQJZBvRJrj4whGWPu8M425caJgm3u4YEjAvP7A9tNfLzuXWbILWqEqc8Rj+iFxsSHZX1CNMkr41cuqKNMA0GPnyBYHA3n66o4NKDAjmVWkzz5dGDOYUQ9tgdl7UvaR49d21+rymDJ6YSrAH5zILzJqi6S04Wqvq8iNSPM6GI3FDVZ9PD7wE+d5x5XO9Y0bVX3KoaK3BYILGyOlIucUyynCysVWYLBL54OMjyAdZS86gejDJAtMKAUEb9gUwM4Qoh4kRp1IJcmqK9jUYWeLvTCmnEfYJDIyGXwd184K2j0nMxl0IPzjaPntvGkpCTj20qhSenEqgaN/oFwHkT1OCY5wAQkV8EHgf2RORp4CeBx0XkMcxW4lcxqsC5UFUmw7wmY33scZU7sGhNFdGoBaZ0eomrzw4buQ8N0R2kcVEmF96ImOz7Zi0gSBPOHgxGAghbHmOQSsjbTlwTGJXelXadrWbAdiM0Qbfd2wS2FLsNvLUqvRJyynAccipYQMcuJuieh9kEB9PceUUcZ69pEjE55y9ybJMnpWnQzI2+7jhvgnqtiNwpaRegNW2wqr6zpPkfz7sIV/PgJm01x65gwe03Hus0XuLdPTYSdBsrBaMg2bKUSMW5LQZRbGTmvSFxojRrQUZovTjJigQ2ayHxMOZOb8hOy/yZiy69zUaNrcYo6BYYC7wNureRQRdJM5FrNBzVbppCTjPn0LPHVWq7IjmVEtAxy2Kk847N5+I0RBAVa5s6zxoTE3hymgmKt6DOAqpaEhhz/igrk1FlOU1CWWVd65YrjZVyakW513TPmbRKmpJMwte7wyzF0mEv4up2k416SD1V6b14OMjKYFiXXhgIm/WQ7ZZJVXR1szFe7TYNvLVBtzZNkZvkNYdiiiKYL4eeGXg6lW4nPfzPW6E3yaKbtpY1giem2aGoUcteAJy3BbVUmId8jjN35q6rCLIruvbK1mNJL0qUOEkYRDJGgEmiqXw8zkQVdg1AlktvqxGy06ybshg18/BrhYL0ugTDLjLspxLyATqsrnRbml3BOVcpH3dRplBzHlqVefQoIad5y2KUzHlqLr0J53y1W4+ZoPiKuhcN+QSwmtt7Krr2isRRDPAtC/jN0iGlUu6cGzHLgG4tqPIPn7Wc7LijQcxBL8pZXlutGrebEcFA+NqdHof9KLPaqiwnazUByN2R5TSm0rNw11el0EvPZeRUa2Sn5ynDDusvhJg415qTk7ecjgMvkriQGCVTze8dmdfZrasqy8cVTdi0SMX+VftRxQq+lqxciXizFvD1I7M3dTSIud0dZio9MDWkLrfq7G00uGJz6TUDGlGXIC3HHvQPkGF/XKVnMYmcisq9GbKPw+nm0TtxpduK9mPn0XPOX1R3noUnp2NCtdyTsYbwBAVO+fNxQUTOqqoQRMyCoqjCWlJum0XoPEjtOVtzyt2L6g9i4jhBU5l5P0p4/qDH0y8ldFPl3sv3Ntlpmj2oy+061zYbXGrV2GkGbDVDwt4dUxqjfwiARP1xlR5U7jlV5tFbtHw8fV2pPHqzrm3aHGsET0oLgnfxXTxUBeHGic5ESK7bblq/Igm6yWbDQCiERo2RWH8QE6X580if/Ye9iBcHMb2jIUmU0LnUYn+ryY0tk0evGHhbDLoFMpdeptID82WwD3jnvVi3XVmC1/R1ajFByMhpZvn4IoUQp7XX5JO8jsGT06LgLagLBSVvORUDb12UKfMgnw09DPKFAt1zeZHDiBDd67p7SmWEFyvEsRFDhLXRA63XHXL3Tp/uwYBaI+TK/iYvv7LBjU6a6LWZD7y1QbdEfXTQM78Ld7/JErWr0Kul8dNV7rz0XJU7DwouvUkJXp3XMUJzUeUyOwtiKp3bW00uPDEtGKomrdgFgCcoB+5+U9WeU5E0intWto/7WuxbJJ2RdNwVUJhzWaxUSlomq3lCHCUEgSAimSV1906fgxe7RMOYrVabG5fa3LfT5sqGlZDnA29l0EWHfTTdawLKrSamiCAKe1AnFkE4r+cpghibd5Yx82YgX2NiAk9OpwLFy8wvIibJuhd9jar9rElZJ2KFqCCWUFWioWnrdyMGfVPXqd6ssdOus9OsZRLyMOohgyMkNvtLxEMo5NArw1SFXto+Jh03g8vl49PKsDOFnMr6pesqXn/icUXbifLozTqPJyePY8Gr+C4sivtNcTLZWir2cY+LOfaKsJZUMeP5IA2odWHnitKksUEgSCDEUcLRQR+Aozs9ou4hG5cusX25zSM3ttjbqNGOTBYI6R0QDA4zyykps5wgv89UVOjBePZxHKvJHGSvpa65k8jHJ1kmy0BOF9yl50npDOBz8V0slOkaprnx5kVp7r6CUtDWZzoajH/4stpQaV8JBE2U3tGQozuGoAZ3Dwibbbb3Nnj0ZZe4dWWTy62Q4MCUE5HBkRPbNCgnJ5iu0MvaKlx6gAbpR8vuNTnzTpKPz5JHbymyQbjrKjl/EV16npzODupVfBcXZSKJaXWhpvUpnhuLa8pio8w+kyXIYsn3IBgVJRz0Y45u9+keHGTzdC5tcvPmNn/svkvc3G6atEU9c94NvM2p9BxIEJpSGVUKPRiv12QGlu8bzSiEWOk8epPWN8O1Vx2emM4a3oLyKOA4BJW1a/lrEa6rL1aTKcL2HaRWVZDGPMVRQvewz9Fhn2RoVHftS7tcudHhjQ9c4ZGrHXZbITI4gL5N9DqoJCd3n6mUnCYJIaqIKZ2jnHwqxmXnJ7jMKva6St9X9XFw6kKISWtacXhyOgf4ZLEeFjlXnOaPy9qKfYvIksUWrKtEldixqhJVjnpRVrZd0/iosBaQqHHt3b3dJ+oeUmt3ANi91uGxV17htTe2udapsxnEaXmMbjppMpWcxuTj9UaufaLVVLLXNKmY4FQRRJlVsgz7TCXnKyvdrik8MZ0fVH25jQuNMnFDlatvUp8qK8tmhLDuuyiVmWtqPWkqcx/0o6yPJqPXYaIc3e4z6HaRMGRnbwuA++/b4Zvvv8wrd9vGeuq9NFLspagkJ9eCqudjnbLYJ7dfSjgzEZPTP1vHokUQc1hNx7J0fKqiDJ6czhvexedRgXn3nty2RDUjmpwFFef3o6Khqfk07I9cfBKYrOX9bkQ/SjLX3ubuZfbuMQT1plt7PLLf4Wq7RmN415TKcEpDW3KqKr0O4yKIXMCtGVxuNTl7VOeeQ29R+0xZ+xwKvTUmJo8lgY+D8piG0yzNkRTIDIzllKgy7Bu3XxINCOoNWpt17tltA3Ct06TTCGnVAugOkCRCNCFx/tvKkZODMhFE7rjMsqlyzZkLHUuhN4ZJpTwmjZsXs1hOKaYSnYfHqUJ9Lr6Lhiq+yddoGk9dBOUWVFGmXgywjVO3HozIB8gsp6Q4Z2QKEB5+vcfdodlH2ry8w7V7d3jTg3sAvGq/w147pNa/Y6ynJMrNMTHruMW8lW6LCr3sXAk5rYpCr2J9E+fypOVxlrggLr6V/laJyAdE5DkR+ZzTtisinxCRL6Wvl6fNM4stNJaTL0qInNpMbhoj142X5eMriiLS0u8ukcVWxZe6/CTdpzKiiAEHg5iDF79uSmhsbHLl+hZvvrXHo/tbPLq/xdWNGm0dmOSv8QBRO084mZyC0NRrqjXy8vGwnttrGqnownFyKv6YC4/GVSn0jkNOxfnK+qSYSCil84gnpymQGRIie5wi0nIbs/ycBLM+S0XkbSLy+yLyZRF5j9P+DhH5vIgkIvK646xh1b9ZHwTeVmh7D/BJVb0FfDI9XjiSRMesHC051kRzoomkhLAsoqFJAOvOM4yVYazGchpEDO/eJgyES1c3efUDuzx2c4f7dprct9PkUh2C3h0k6iEF6wkYS1Mk9caYO09q9bzV5BKMBGMEV0pOZeMg//B3iCknH7c/tk+VZTahzc45N6EUialsjVOu7eFxFtAkmennhJj6LBWREPgHwHcAjwDvFJFH0tOfA/4M8KnjLmClXXyq+ikRub/Q/F3A4+n7DwG/CfyVWeabtK9kXX1FEoodQilaSUXxA5BZTrm2VJkXDY0oQpy0Rkc2EeyLLzGIEoJag61mjZe//BJvfMUuD13Z4ErbkEbQewkZdg05pemKtEAqE0tiWLgEkx075ddDJ0tEyevKycfdNZbttc06xwWCqHo13zlBEyUZlPwDunjM8ix9A/BlVf0KgIj8Ujru91T1C2nbsRew0gRVgWuq+iyAqj4rIvtlnUTkCeAJgM0r16dOGjoZHIqI46TUSiqSmYl1Go+ZSmIzJkn3qQIRk1HiYMDd9IPYP3wRgI3dq1xu1XnjA1d4dH+L/Y0ajYHJFBGkrr3K4oKTFHqT9oymZYM4hgiiNOh2VjI4zl7TrFbTtLk8OWXwJHVe0Hmsoz0Reco5flJVn5xx7CzP0pvAHzjHTwPfPOvipmEdCWompH+kJwGuvOJhherM5eGU72AWo6Sj1zEryQm4NWOcZLH9KCOrUEx7P4q5e+coq4wL0G6E7N3c5lrHWFH3bNXZxOw5AVBGThJU588Ds8+U9svuJ3PNTRBBAKT59kozQUCpOy+HZRFBTFrjlGt7eJw5FLTEO1OBF1S1cv9HRH4DKPsP/SdmnL/s6biwTcp1JKiviciNlPFvAM/NMmhS3rxZ4BJSmeWUFDJQuLD9JTCWU5Lm5Iu6h1mfsNagVQvZvtSi06jRaUC7JsiwZ6wmMKII1ezhmxM1OCiLbSonoEmW0TRSmEM+viTXNvINAAAc0klEQVTk5DE/vBV1PpiDoCbPo/qWqnMiMsuz9GngZc7xvcAzC1kcqy+SKMNHgHel798F/Oq0AdPoyE1bJCVZJlyXnptxPNenwE7RMM6EFjbFkVXtHR0a15516wFsXr2HvY063/rwPluNgP3NGu2kN1LsxQNwg/eCgrChmODVEUKMS8QlC7wdC7otCB/yIglxfiaIDKrIqSiqKOvjYG6FHky0nLwQ4njwqr6zhaqSxPFMPyfELM/STwO3ROQVItIAvjcdtxCstAUlIr+I2cTbE5GngZ8E3gv8soj8IPBfgXfMM+espTXU+VIGtkR7ur9kkzdYoop1JCG317CCiNy1bbmN24eZa6/TMn+ia/dd4sZWM7WeQrZqSnBoFHuUfBBdYskVEiyLayqIIEoVehZlQojjiCCcfmPvJ7UV551xjDnnhRAe64EzKrdR+iwVkXuAn1PVt6tqJCLvBj4GhMAHVPXzab/vAf4+cBX4lyLyGVX9U/MsYKUJSlXfWXHq244z36Q0RmWl2kvWMxqnZJVui7FOw1izwoNgCC5RZdCPuTuM6d9+njhR2pevc3XDJGv9plt7XNmoc73TYLMeENx9wSj24mjEiEXhgRRUfLaPVCv0MuVfmRjC3mdRQFE4n/Vx5sxhFguppO3ExOT083tNi4V39Z0hVBfm4pt8Gf0jSp6lqvoM8Hbn+KPAR0v6fRj48EnWsNIEtWjk9qF0vA3IxTXlxqrj6ktFEkkhe0SSjIhJC5+vYZxwdKdHdxATDbq0GyG791xhv9ME4E2v3GW7EdJpBIRxn2DYRaLBeES5yMTAWShX6E3cZ6rao5pHBOGOqzquaiube4YxuTU6/Tw5nQ48SZ0NVJVkeCYy83OHJyiMriBn5UwQTJTuLxXLwkdJlk/PntdUJGFce8X9qIRenNB96TkGUUK91eFyu879r9zlWsdYUNc6DTqNgOYwLd8e9SgtBVy0nux+EBVuuSpymqTQW5Y0RccQanhyOl3Y/ShPVKeL5AwsqGWAJyhGIolirSeLnEKvKB93rKFsLypO0r2ofMbyRJVoYAURZER1dNCnO4jpH7xIGAid/Zvsd5p8yzdcZbth3HPtmlAnQXoHaL1p9p2Krr0K66k0cLa4z2RR3J9yx9mxhbbKQoInsJhy884xxsvHlwPemjpFzCczX2l4gipBmQuvyrVXhrFsE6lIomg5Wctr2B9khQwbtYDNnSYb9ZB7d9o0a+ZLvlEPkMSo9bTeLL9wUEIoRUyLbZpETmX3ekoP+IUQiicfj3XEGe1BLQM8QcGYzrxMEDEt757t4+bSy1Ig6XiG8miQcDdNY9R76f8jTpR627j2HnjwCtc6DW50mmzWzUPWZovIMkW41lNJDjnr3hsTSVQp9MosouJeU1W/805TNMsaZ53HY2HwVtTpQDkzFd+5wxMUoORde8U6TLbarYVNWQTkxiVOPBOMChHGxQzlidI97GdS8kGaAHbr+n2Za2+nGdKuBTTUbIZK/27m2pMiORVIJ5/cNa+mm0mh585ddd6ZM8OM+0oLVeiBJ6clhiepU4C3oC4mJllONgi3mNbIvi+WznBJzLWqkmgkiLAEJUHIzkad6/df4kanyeVWnU49YFOGWYyTRD00dEqvO9ZLeTDtaD8qS+7qjisq9OYVQaTXzs3lYhEiiAnjzDlPTKsAT1KLhyeoCwi3qGDsEFE+jmlcSOG69qw4Ik6DcYEsQ3ms0O8NOexF9G4/n43fuHKT3Vad/+Yb97ncrtEIhXY9QA4PICUXiQaQbj2NCKlg4RSVe0GReILxvu74sjkpPPAnufPm3DdaiHTc6euFEMsLT1KLg6oSe5n5xULO+nHVdylp2Vx6ZSq+YrxTHI/XdQIYJgndl16gO4hJogHtVKG3d981rm81+eb7L7PdCOg0QoJhj2DYJQk2zeCipNzGLwW1vFVU5uYrnme2faalywQB85GTJyaPdYSCnjyN0UrAExSjZ3/i7DcVXX1u+iI3316S1n3KSmc4rj03b180iOkOYrpWELG5w96miXF66NYVrm02uWerSbseUOvfMQ/XeABJO7/YYvySSzpBzRFGVO81nYiclmyfqXReT0xLCW9FLQpzldtYaXiCKkFctIh0FMfk7iXZc1mJ91RKXsyzl6gy6HZNlojeXcJA2Ln5QJYl4vFv3GenGdCuG1GE9O+ijfZIDAH5B3SBnHIuP5ecCvtLlcRU9cA/z4zjufN+r2ld4AN5FwAfB+VhYTnCdddZq2msr2qpay9WJeoeEieKBCHtRkjnUotO6uK73mmafadaAPHQXFST8dpOUF4OvUqFl74eK02RiyUkp2PN5bE08NbUSeBVfBcKmpbTsK49TUby8VFbnnyyvamUlGyWiDLZ+SBK6KUJYBtbl9nbbJhYp01jQV3vpK69gan/JPEApeDaC4Jxt54rioAxYUSp6+uk0vFi2wRSOJFLD2ZXE3piWkl4kjoeVH2qowuJomuvrC1LY1SQmQ/jJFPt2bpOvbtHAHQHMfGgS6MWcOneB9nvNHnLI9fYapoHa7sWmDRGgyO03sLJnVStmhMnU7n78B77EWaymiaJIBapzps0n7vGkr6enNYPnqSOA78HdeHgWk6uSMJaTolqrq6T5ZDYsZzsuSRKGMQJ/VRKPogSwkab3U6Dmw/ucnOrxf5mg06aJWIjVCQeGvderZGtyX0gZ2o913JKySm3Z1Tcl4L5FXqzWEiLFkGAJ6cLCk9Sc8LvQV005INvbVwT5BO/JqokseZy6iWJMuxHOdXfoB9lyV8tNvfvY3+zyZ985BqX2yGNoEY7Jaig+3UIakgSjVf3rVDi5cipsC+VK0Lo7lXZuz2uCKKibeHE5IzzCr2LAU9Ss0NViQdeZn5xoORk4sW4Jhgp9JLCHpRV+FlYy6k7iNFkVBX32iuucaPTZOf+XbYaoSk6GPUBkGEPbWyMLua66AptriU1UU6eklPOCiuzmma1kI7jzjvmPlPl3J6c1hqepGZEoVLCOsMTFKNcsUWrCUaWk62Oa11+w76J5LYCCisv7w7iTBDR2rkKwH6nyWu+4Sr7nTr1wFTEzWKdAImHaE5Sbi2cWt6SSIknex8UiKzo2rP3V+XOO4EAYmzeqjmq4ANuPUrgSWo2JGV1gdYQa0tQIvJV4ACIgUhVXzfLuLKChDAiJshXz7XuvjhRkmhgakoNeoSB0NjaBaBdD3nl1U0agUlhFKAQDaDeqlj8uFtu3MVXEEPAmGtvaoVbd+5iid8JWHiJDU9AHh4zQ/0e1NrgW1X1hVk6uq49azWBtaYcebktPGjz7KXEFSeaufZg5NYDuHe7yW67znYzZLMmSNRHov4oiWuS5tUqCBzyaYwqSrlLRU49C3ePym0rvp9iOZ04nim9h6px3nLysBBXIeutqXGoot6Cuniwrr1i3SZXxTfsRwzihCQaZH2SaJBz7TV39riy2eCbHt4H4MpGneuBCcQNehMEERauJeS2QbUgIusn5e3uHFXHFW0n3mey66oY68nJowre5VcO7+JbfSjwcRFR4H9T1SfdkyLyBPAEQGNnPwvCTdQE7Maa34/SRBkmCdFgmKusO4gSBgcv0h3EDHt3aTdCdu97gBudJn/iwT0AthshG/WAMBmOBBGTXGpOvFL28A5reeKaRk72l+DGQWX9CtaSJudCTGPX8KTkUQJPUgV4F99a4M2q+oyI7AOfEJEvquqn7MmUsJ4E6Nx8SMHZV4p0rA5UHCVmf6nfBSAZGgvKZokYRAn11qaJdXpgl5vbLW5umz2mjXpAK+mDJuOCiAqoBCNSghExBbXR+RIra6q7r+z4NMhpHmKadU6PCwufw28EU27DE9RKQ1WfSV+fE5EPA28APlXedyQzj9O9KFfFF6sy7BsBhCZxKoQwRGXinV4yFXFvPMj+ZpO3vvo6O82QZs18mZoBSP8Iwka55TQmciiQUmkfLT+XOy5PBlvWZseKJid3uU0IuM2tc955PS48vDVl4FMdrTBEZBMIVPUgff/twF+fNs4me7VCCBiV4Ij73cy1Z60m+x5gZ6POtVfe4EbHCCI6jYCNNBDXiCIGRvSQLXK+/aFR/JPamyzfwymSUxFTrKVjk9MM1/NWk8cicNGtKaPi83tQq4xrwIfFfIBrwC+o6q9PGmDrOLkVcQFTOsORkCfRgEGU0D98yZxPlPbla+xvNXntw/tprJPQDIWwb5K/qgSjolOTFHQVllC+j1HzSVU/8l9c1fHz+b6ntM/kjPfE5HEauLDWlCeo1YaqfgV47bzjEqd67qht5NoDiAZdBlGS7UXVAqG1c5UNJ9apVQsIAxnJx4uuvYK4Yda4IktMk/sUyGnKfKWwwolZMC85eXgsEBeTpNS7+C4aYh259lQ1c+dZ154mcabY60cJEphaTjsbda4/eB83t1rsbTTo2DRG8RBiQ1DiuPa07MHtCB5UAqQ020MyGieBkahPcOdVkZNKUL3P5F5vomU1m/vQ7zV5nAUuHEn5VEcXC8VCg1axBxAP8gTVPzCuvfZlE4R7bavJY6+6xn6nTihCuyaEUQ8gq4jrkkmGnBiiQswwxf02DzFBBTlOu07WZ8oDwJOTxzniIu1LKT4O6kLBqviSdO8pTt14QKbaG9y9zVFa12mjEbL7ykcBuLnd4vGHrtKph7RqQk0wBQeDkl+tq9Irk4dXnS/OwQJceRPin8b7zkZOfq/J47xxIawpVRKfzfwCwf73pcogSrLy7ACJtZwOXyJOlPrmDrudBi97yATh3thqcmOryWZdaIWCJFGFlFyyV5UAKcYsSTCWYbzKDaciU0kJyJSI4dhaZnDjuWuuPO8Veh7Lh3UnKVNR11tQFwYKuWBcK4wAMtXe8O5twkDYufkQ92y3eMurrwOw0wypB0IjDJCoZx7q6uwXpa8ZIRUDbaGQvqgk80MFkllYqohZSEn1eFaTJyWPJcG6u/x8Rd0LBuvaM8lf44yghnfvZKKISxt1bjz0Cm5utbjcqgPQaYQ0QiFATX4969qr2pMJCtaS7VskJjfmKTdRAjJmE03GvG68SV/qKqvJk5PHEmItiSotnHoR4AkqRZxolr7IHoORlQOEjTadVo3tKxtsNUO2moYkQoF6IKCOT7jMMnILC7p93PclVomb4SHrropOFZzPgWN8eT05eXicE3wc1AWDkqUvcoNxgcy1d+m+hzPXnnXrATRCIUyGo7mqKsSWBeVOSmM0aa7x5Y+6zXzTJeut7OMVeh6rjXWypBSfLPZCwcY9WSm5desBSBBypdPIXHt7G6YibiM0H/SaAEkyTkauy86+L77a6xeJiVG8UhVEIEDG9qHsUeXXcN4vaBU5eWLyWEGshYDCiyQuFlST3N7TILWaADavvoxrW03++Kuvs9+pEyA0ayOCIolTUYEzYdlDvKDYy4kkisQkyfh4ezxjhgelhKTm+WJ6hZ7HmmLVSUpTQddFgCcogNSCsq69JBqw0TB7TFdvvcbEOt3ao1MPqQdmz0mS8TgEdcmHvLVRPFdmmVQSEyUkwbgVVfyfKiOpYxJT6XU9OXmsAVadpOLjKHhXEP5pAxlBDe/eIUqUxuYOV7ebXN1ucv/DV7l3p8Wj17Zo14R2PTCKPU3GXXDFuKaclVR8NfFQWrIXlS2rOIfTR2b8gM78MS5cR4tkWlyHh8eKQ1Szn1WCYhILzPJzEojIroh8QkS+lL5eruj3NhH5fRH5soi8x2n/2yLyRRH5XRH5sIhcmncN/omTYhAlDLuHNGsBl17+KPdut7h3u8XbX3uD7UbIbsvIyWtBWSE+yb+67YUA3dFrtdCgtFx7BUQgECEQOZ6ur+RaXgThcdGwaiQVp1W/p/2cEO8BPqmqt4BPpsc5iEgI/APgO4BHgHeKyCPp6U8Aj6rqa4D/F/ir8y7AP30wPl2LdiOks7fLTqvOTqvOja0WjVBMrNMEl0DOrWdJqHAOmKzGO2srZZor0ZOTh8fS4awsKOC7gA+l7z8EfHdJnzcAX1bVr6jqAPildByq+nFVTUs68O+Ae+ddgN+DYiSSaGxuc3WryTe8ap8bnSYANzpN2jVBRIxBVPZfSaUbb4qV5L6fJoCYQBaWN+1+1NTPpScmD48xrIoU3eQOnZl99kTkKef4SVV9csax11T1WXNNfVZE9kv63AT+wDl+Gvjmkn4/APyzGa+bwRMUQBLTqAVcuv/VXO80+Y5X32CraR7SoRi3XiCSI6dZ6hyVkVCW2dxN1DppL2sCZt7onWa1zdjXw+MiYBUEFHNYRy+o6uuqTorIbwDXS079xIzzl/2icqsTkZ8AIuDnZ5wzgycoAAlMAthv2Oe+nXaa/NUSFJnkvNQ0cUin+JoRT5l1NCmI97i3IXNYUfiYJg+PKiwzSSUogwXVg1LVt1SdE5GviciN1Hq6ATxX0u1p4GXO8b3AM84c7wK+E/g21fk3xfyTCQhqDa51mrz1sXu43A650Wlk+05WFDHm2itT6LnnqvosmAyK67KiiUlfrTGFnoeHxxiWWeF3RntQHwHelb5/F/CrJX0+DdwSkVeISAP43nQcIvI24K8A/62qHh1nAWv7dKqSPpah3qxzc6vFm+7fpVMP6DQCQhHzE8jsH9Iledi7JFUkqjHpuIeHx0QsG0nZPagzUPG9F3iriHwJeGt6jIjcIyIfNWvRCHg38DHgC8Avq+rn0/E/A2wBnxCRz4jI++ddwFq6+Bzp41sxJuinReQjqvp7Zf0323WudxqIQLMWEDrq8FVGIKm7z+8zeXicCMvm8juLTEeq+kfAt5W0PwO83Tn+KPDRkn4PnnQNa0lQONJHABGx0sdSgtpu1eg0AmqBZElgVx22rFMgUsgm68nJw+M4WBaSMjLz5bLqTgvr+rQqkz7edDuIyBMi8pSIPHX39os0QqHu5HZdJVT5ysfuw5OTh8eJsAzuvjOMgzp3rOsTa6r0UVWfVNXXqerrru5dTUURwXgyiCX4QBYxz39xIvj9Jg+PBWIZnglntAd17lhXF99E6WMRQWDinZbdclKZQ7Dh4eFxajhPd5+uiXU0C9aVoDLpI/CHGOnj91V1Dpjs1vPE4OHhUcR5kZQCwwvyPFpLglLVSESs9DEEPuBIH8dR+JBVffAsUbmEdRLystcozlm8lu3j4eGxXDif9Ejr4b6bBWtJUFAtfTy16xXIq4zEys5VzeOxGJz09zntbwXn+8/DaX9eFj3/SX5ns67lPL5DZ0lUViRxEeB3zj1WBvbLryK5B4F7XGX5lo0vG1PsU7Sm3fNWPVk2/7T1z3K+2K/snu31y+6n+HuquteydbjzV42r+htUzV/2O5s0ZxGTPBvFa0z6+076HJ0UZ0GMVmZ+EUQSnqAcrLrlsorrn/aQnNTHouq/1+J/0rO4UuddZ9W1Zulf1Wfev+MsKXmmPYwnrXfaOmexWKb94zCJtKbNWySk42Da52Au5expfw9nlJivg5W1ti6+eeD+Vzere65s/+g4faZdY1Kfqnsp4izcDifBLA/HSdbOpPlmGTfrNeaxcKrWN++Y4x7PSkbTfp+z9j3u72TW3/lx5px1XdP+rpPWMisW6ibl4gTqeoKi/L/1WT/AVefOok/VvXh4eCwXFv29XAfraBZ4gvLw8PBYISSwsHIbyw45RomOtYOIPA/8l/NexyliD3jhvBdxyvD3uPpY9/t7uapePekkIvLrmN/VLHhBVd920mueFzxBXQCIyFOTqmquA/w9rj7W/f485odX8Xl4eHh4LCU8QXl4eHh4LCU8QV0MPHneCzgD+Htcfaz7/XnMCb8H5eHh4eGxlPAWlIeHh4fHUsITlIeHh4fHUsIT1BpCRL4qIp8Vkc+IyFNp266IfEJEvpS+Xj7vdc4DEfmAiDwnIp9z2irvSUT+qoh8WUR+X0T+1PmsenZU3N9Picgfpn/Hz4jI251zq3Z/LxORfy0iXxCRz4vI/5S2r83f0GPx8AS1vvhWVX3MiSt5D/BJVb0FfDI9XiV8ECgGHJbek4g8gilS+ap0zD8UkfDslnosfJDx+wN4X/p3fCwtIbOq9xcB/4uqPgy8EfiR9D7W6W/osWB4gro4+C7gQ+n7DwHffY5rmRuq+ingxUJz1T19F/BLqtpX1f8MfBl4w5ks9JiouL8qrOL9Pauqv5O+PwC+ANxkjf6GHouHJ6j1hAIfF5H/ICJPpG3XVPVZMA8LYP/cVrc4VN3TTeAPnH5Pp22riHeLyO+mLkDr/lrp+xOR+4FvAv49F+Nv6HFMeIJaT7xZVf8Y8B0YV8q3nPeCzhhlqaNXMZ7iHwEPAI8BzwJ/N21f2fsTkQ7wz4EfVdU7k7qWtK3EPXosDp6g1hCq+kz6+hzwYYxr5GsicgMgfX3u/Fa4MFTd09PAy5x+9wLPnPHaTgxV/ZqqxqqaAD/LyMW1kvcnInUMOf28qv5K2rzWf0OPk8ET1JpBRDZFZMu+B74d+BzwEeBdabd3Ab96PitcKKru6SPA94pIU0ReAdwCfvsc1nci2Ad3iu/B/B1hBe9PRAT4x8AXVPWnnVNr/Tf0OBl8Paj1wzXgw+Z5QA34BVX9dRH5NPDLIvKDwH8F3nGOa5wbIvKLwOPAnog8Dfwk8F5K7klVPy8ivwz8HkY99iOqGp/LwmdExf09LiKPYVxbXwV+GFbz/oA3A38B+KyIfCZt+3HW6G/osXj4VEceHh4eHksJ7+Lz8PDw8FhKeILy8PDw8FhKeILy8PDw8FhKeILy8PDw8FhKeILy8PDw8FhKeILy8PDw8FhKeILyWCmISJyWnvi8iPxHEfmfRSRIz71ORP7ehLH3i8j3nd1qx67ddWKATjpfO/09DERkbxFzengsG3ygrseqoauqjwGIyD7wC8AO8JOq+hTw1ISx9wPfl445D/wnu/aTQlW7wGMi8tVFzOfhsYzwFpTHyiLNNfgEJuO3iMjjIvJrACLyJ51Cf/9Pmv7pvcCfSNt+LLVq/o2I/E7686Z07OMi8psi8n+KyBdF5OfTVD2IyOtF5N+m1ttvi8iWiIQi8rdF5NNp5vEfnrb29NpfEJGfTa3Bj4tIOz33myLyPhH5VNrn9SLyK2lRv79xWr9PD49lg7egPFYaqvqV1MVXLB/ylzHpcX4rzaDdwxTD+8uq+p0AIrIBvFVVeyJyC/hFwBZ4/CZMsbxngN8C3iwivw38M+DPqeqnRWQb6AI/CNxW1deLSBP4LRH5eFrHaBJuAe9U1R9K0/r8WeCfpucGqvotYirP/irwxzH1ov6TiLxPVf/oGL8uD4+Vgicoj3VAWWmG3wJ+WkR+HvgVVX06NYJc1IGfSfPdxcBDzrnfVtWnAdJ9o/uB28CzqvppAFsuQkS+HXiNiPx36dgdDPlMI6j/rKp2T+o/pNew+Ej6+lng87Zmkoh8BZPl2xOUx9rDE5THSkNEXokhl+eAh227qr5XRP4l8Hbg34nIW0qG/xjwNeC1GHd3zznXd97HmO+KUF6TSID/UVU/Nufyi9dol5xLCv0S/PfW44LA70F5rCxE5CrwfuBntJD1WEQeUNXPqurfxAgnvhE4ALacbjsYiyjBZNoOp1zyi8A9IvL69BpbIlIDPgb8xbTeESLyUFrqxMPD4wTw/4l5rBraqcutjinD8E+Any7p96Mi8q0Yy+T3gH+FsT4iEfmPwAeBfwj8cxF5B/CvgbuTLqyqAxH5c8DfTwUNXeAtwM9h3HO/k4opnge++4T36eFx4eHLbXh4nAFE5H7g11T10QXP+1Xgdar6wiLn9fBYBngXn4fH2SAGdhYdqIuxJJNFzOnhsWzwFpSHh4eHx1LCW1AeHh4eHksJT1AeHh4eHksJT1AeHh4eHksJT1AeHh4eHkuJ/x86+QpPrmtLUgAAAABJRU5ErkJggg==\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, :], label=np.round(delays[130]))\n",
    "plt.plot(distances.to('nm').magnitude, strain_map[-1, :], label=np.round(delays[-1]))\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": [
    "## Magnetization\r\n",
    "\r\n",
    "The `Magnetization` class is currently only an interface to allow the user for defining specific magnetization dynamics depending on the `strain_map` and `temp_map`.\r\n",
    "\r\n",
    "Here the magnetization as function of temperature is used as a simplified model to alter the transient magnetization amplitude."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "c:\\users\\schick\\general\\python\\wpy64-3770\\python-3.7.7.amd64\\lib\\site-packages\\ipykernel_launcher.py:2: RuntimeWarning: invalid value encountered in power\n",
      "  \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": [
    "def magnetization_bloch(x,Tc, M0, beta):\r\n",
    "    m = M0*((1-(x/Tc)**(3/2))**beta)*np.heaviside(Tc-x, 0.5)\r\n",
    "    m[np.isnan(m)] = 0\r\n",
    "    return m\r\n",
    "\r\n",
    "plt.figure()\r\n",
    "temperatures = np.r_[10:1000:0.1]\r\n",
    "plt.plot(temperatures, magnetization_bloch(temperatures, 770, 1, 0.75))\r\n",
    "plt.xlabel('Temperature [K]')\r\n",
    "plt.ylabel('Magneitzation')\r\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The `calc_magnetization_map` method must be overwritten to allow for calculating magnetization dynamics."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "class SimpleMagnetization(ud.Magnetization):\r\n",
    "\r\n",
    "    def calc_magnetization_map(self, delays, **kwargs):\r\n",
    "        strain_map = kwargs['strain_map']\r\n",
    "        temp_map = kwargs['temp_map']\r\n",
    "        T_c = kwargs['T_c']\r\n",
    "        magnetization_map = np.zeros([len(delays), self.S.get_number_of_layers(), 3])\r\n",
    "        \r\n",
    "        handles = self.S.get_layer_vectors()[2]\r\n",
    "        \r\n",
    "        for i, handle in enumerate(handles):\r\n",
    "            if handle.id in ['Fe_left', 'Fe_right']:\r\n",
    "                magnetization_map[:, i, 0] = magnetization_bloch(temp_map[:, i], T_c, 1, .75)\r\n",
    "            handle.magnetization['phi']\r\n",
    "            magnetization_map[:, i, 1] = handle.magnetization['phi'].to_base_units().magnitude\r\n",
    "            magnetization_map[:, i, 2] = handle.magnetization['gamma'].to_base_units().magnitude\r\n",
    "        \r\n",
    "        return magnetization_map"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Calculating _magnetization_map_ ...\n",
      "Elapsed time for _magnetization_map_: 0.097714 s\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "c:\\users\\schick\\general\\python\\wpy64-3770\\python-3.7.7.amd64\\lib\\site-packages\\ipykernel_launcher.py:2: RuntimeWarning: invalid value encountered in power\n",
      "  \n"
     ]
    }
   ],
   "source": [
    "mag = SimpleMagnetization(S, True)\n",
    "mag.save_data = False\n",
    "\n",
    "magnetization_map = mag.get_magnetization_map(delays,\n",
    "                                              strain_map=strain_map,\n",
    "                                              temp_map=temp_map,\n",
    "                                              T_c = 770)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure()\n",
    "plt.pcolormesh(distances.to('nm').magnitude, delays.to('ps').magnitude, magnetization_map[:, :, 0])\n",
    "plt.title('Magnetization Amplitude Map')\n",
    "plt.ylabel('Delay [ps]')\n",
    "plt.xlabel('Distance [nm]')\n",
    "plt.colorbar()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Initialize dynamical magnetic X-ray simulations\n",
    "\n",
    "The `XrayDynMag` 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": 18,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "incoming polarizations set to: sigma\n",
      "analyzer polarizations set to: unpolarized\n"
     ]
    }
   ],
   "source": [
    "dyn_mag = ud.XrayDynMag(S, True)\n",
    "dyn_mag.disp_messages = True\n",
    "dyn_mag.save_data = False"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Homogeneous magnetic X-ray scattering\n",
    "\n",
    "For the case of homogeneously strained/magnetized samples, the dynamical magnetic 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 `XrayDynMag` 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.\n",
    "\n",
    "The resulting reflectivity is always calculated for the actual magnetization (`R_hom`) of the sample, as well as for opposite magnetization (`R_hom_phi`)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Calculating _homogeneous_reflectivity_ ...\n",
      "Elapsed time for _homogeneous_reflectivity_: 0.953312 s\n"
     ]
    }
   ],
   "source": [
    "dyn_mag.energy = np.r_[600, 708]*u.eV #  set two photon energies\n",
    "dyn_mag.qz = np.r_[0.01:5:0.01]/u.nm #  qz range\n",
    "\n",
    "R_hom, R_hom_phi, _, _ = dyn_mag.homogeneous_reflectivity() #  this is the actual calculation"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In this example half-order antiferromagnetic Bragg peaks appear only at the resonance."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "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_mag.qz[0, :], R_hom[0, :], label='{}'.format(dyn_mag.energy[0]))\n",
    "plt.semilogy(dyn_mag.qz[1, :], R_hom[1, :], label='{}'.format(dyn_mag.energy[1]))\n",
    "plt.ylabel('Reflectivity')\n",
    "plt.xlabel(r'$q_z$ [1/nm]')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Post-Processing\n",
    "\n",
    "Simple convolution of the results with an arbitrary function handle."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "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": [
    "FWHM = 0.01/1e-10 # Angstrom\n",
    "sigma = FWHM /2.3548\n",
    "        \n",
    "handle = lambda x: np.exp(-((x)/sigma)**2/2)\n",
    "y_conv = dyn_mag.conv_with_function(R_hom[1,:], dyn_mag._qz[1,:], handle)\n",
    "\n",
    "plt.figure()\n",
    "plt.semilogy(dyn_mag.qz[0,:], R_hom[1,:], label='{}'.format(dyn_mag.energy[1]))\n",
    "plt.semilogy(dyn_mag.qz[0,:], y_conv, label='{} convoluted'.format(dyn_mag.energy[1]))\n",
    "plt.ylabel('Reflectivity')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Energy- and $q_z$-scan"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Calculating _homogeneous_reflectivity_ ...\n",
      "Elapsed time for _homogeneous_reflectivity_: 193.556878 s\n"
     ]
    }
   ],
   "source": [
    "dyn_mag.energy = np.r_[690:730:0.1]*u.eV #  set the energy range\n",
    "dyn_mag.qz = np.r_[0.01:5:0.01]/u.nm # qz range\n",
    "\n",
    "R_hom, R_hom_phi, _, _ = dyn_mag.homogeneous_reflectivity() #  this is the actual calculation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "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_mag.qz[0, :].to('1/nm'), R_hom[0, :], label=np.round(dyn_mag.energy[0]))\n",
    "plt.semilogy(dyn_mag.qz[0, :].to('1/nm'), R_hom[180, :], label=np.round(dyn_mag.energy[180]))\n",
    "plt.semilogy(dyn_mag.qz[0, :].to('1/nm'), R_hom[-1, :], label=np.round(dyn_mag.energy[-1]))\n",
    "\n",
    "plt.xlabel('$q_z$ [nm$^{-1}$]')\n",
    "plt.ylabel('Reflectivity')\n",
    "plt.legend()\n",
    "plt.title('Dynamical Magnetic X-ray')\n",
    "\n",
    "plt.subplot(2, 1, 2)\n",
    "plt.pcolormesh(dyn_mag.qz[0, :].to('1/nm').magnitude, dyn_mag.energy.magnitude, np.log10(R_hom[:, :]))\n",
    "plt.title('Dynamical Magnetic X-ray')\n",
    "plt.ylabel('Energy [eV]')\n",
    "plt.xlabel('$q_z$ [nm$^{-1}$]')\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Polarization dependence\n",
    "\n",
    "The `XrayDynMag` allows to set the incoming and outgoing polarization of the X-rays."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "incoming polarizations set to: sigma\n",
      "analyzer polarizations set to: unpolarized\n",
      "Calculating _homogeneous_reflectivity_ ...\n",
      "Elapsed time for _homogeneous_reflectivity_: 0.620994 s\n",
      "incoming polarizations set to: sigma\n",
      "analyzer polarizations set to: sigma\n",
      "Calculating _homogeneous_reflectivity_ ...\n",
      "Elapsed time for _homogeneous_reflectivity_: 0.402254 s\n",
      "incoming polarizations set to: sigma\n",
      "analyzer polarizations set to: pi\n",
      "Calculating _homogeneous_reflectivity_ ...\n",
      "Elapsed time for _homogeneous_reflectivity_: 0.388865 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_mag.energy = np.r_[710]*u.eV #  set two photon energies\n",
    "dyn_mag.qz = np.r_[0.01:5:0.01]/u.nm #  qz range\n",
    "\n",
    "plt.figure()\n",
    "dyn_mag.set_polarization(3, 0)\n",
    "R_hom, R_hom_phi, _, _ = dyn_mag.homogeneous_reflectivity() #  this is the actual calculation\n",
    "plt.semilogy(dyn_mag.qz[0, :], R_hom[0, :], label='{}: sigma -> unpolarized'.format(dyn_mag.energy[0]), alpha=0.5)\n",
    "\n",
    "dyn_mag.set_polarization(3, 3)\n",
    "R_hom, R_hom_phi, _, _ = dyn_mag.homogeneous_reflectivity() #  this is the actual calculation\n",
    "plt.semilogy(dyn_mag.qz[0, :], R_hom[0, :], label='{}: sigma -> sigma'.format(dyn_mag.energy[0]), alpha=0.5)\n",
    "\n",
    "dyn_mag.set_polarization(3, 4)\n",
    "R_hom, R_hom_phi, _, _ = dyn_mag.homogeneous_reflectivity() #  this is the actual calculation\n",
    "plt.semilogy(dyn_mag.qz[0, :], R_hom[0, :], label='{}: sigma -> pi'.format(dyn_mag.energy[0]), alpha=0.5)\n",
    "\n",
    "plt.xlabel('$q_z$ [nm$^{-1}$]')\n",
    "plt.ylabel('Reflectivity')\n",
    "plt.title('Dynamical X-ray Polarization Dependence')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Inhomogeneous dynamical magnetic X-ray scattering\n",
    "\n",
    "The `inhomogeneous_reflectivity()` method allows to calculate the transient magnetic X-ray reflectivity according to a `strain_map` and/or `magnetization_map`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "incoming polarizations set to: sigma\n",
      "analyzer polarizations set to: unpolarized\n"
     ]
    }
   ],
   "source": [
    "dyn_mag.energy = np.r_[708]*u.eV #  set the energy range\n",
    "dyn_mag.qz = np.r_[1:3.5:0.01]/u.nm # qz range\n",
    "dyn_mag.set_polarization(3, 0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Calculating _inhomogeneous_reflectivity_ ...\n"
     ]
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "f6114b6766654f1eb787319c3da3af0a",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(FloatProgress(value=0.0, description='Progress', max=420.0, style=ProgressStyle(description_wid…"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Elapsed time for _inhomogeneous_reflectivity_: 769.194134 s\n"
     ]
    }
   ],
   "source": [
    "R_seq, R_seq_phi, _, _ = dyn_mag.inhomogeneous_reflectivity(strain_map=strain_map,\n",
    "                                                            magnetization_map=magnetization_map)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "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.semilogy(dyn_mag.qz[0, :].to('1/nm'), R_seq[0, 0, :], label=np.round(delays[0]))\n",
    "plt.semilogy(dyn_mag.qz[0, :].to('1/nm'), R_seq[40, 0, :], label=np.round(delays[40]))\n",
    "plt.semilogy(dyn_mag.qz[0, :].to('1/nm'), R_seq[-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 Magnetic X-ray')\n",
    "\n",
    "plt.subplot(2, 1, 2)\n",
    "plt.pcolormesh(dyn_mag.qz[0, :].to('1/nm').magnitude,\n",
    "               delays.to('ps').magnitude, np.log10(R_seq[:, 0, :]))\n",
    "\n",
    "plt.ylabel('Delay [ps]')\n",
    "plt.xlabel('$q_z$ [nm$^{-1}$]')\n",
    "plt.colorbar()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Parallel dynamical X-ray scattering\n",
    "\n",
    "Parallelization needs still to be implemented, but will work similarly as with `XrayDyn`.\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": 28,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Calculating _inhomogeneous_reflectivity_ ...\n",
      "Elapsed time for _inhomogeneous_reflectivity_: 1293.669474 s\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "distributed.nanny - WARNING - Worker process still alive after 4 seconds, killing\n",
      "distributed.nanny - WARNING - Worker process still alive after 4 seconds, killing\n",
      "distributed.nanny - WARNING - Worker process still alive after 4 seconds, killing\n",
      "distributed.nanny - WARNING - Worker process still alive after 4 seconds, killing\n"
     ]
    }
   ],
   "source": [
    "try:\n",
    "    from dask.distributed import Client\n",
    "    client = Client()\n",
    "    R_seq_par, R_seq_phi_par, _, _ = dyn_mag.inhomogeneous_reflectivity(strain_map=strain_map,\n",
    "                                                                        magnetization_map=magnetization_map,\n",
    "                                                                        calc_type='parallel', dask_client=client)\n",
    "    client.close()\n",
    "except:\n",
    "    pass"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "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.semilogy(dyn_mag.qz[0, :].to('1/nm'), R_seq_par[0, 0, :], label=np.round(delays[0]))\n",
    "plt.semilogy(dyn_mag.qz[0, :].to('1/nm'), R_seq_par[40, 0, :], label=np.round(delays[40]))\n",
    "plt.semilogy(dyn_mag.qz[0, :].to('1/nm'), R_seq_par[-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('Parallel Dynamical Magnetic X-ray')\n",
    "\n",
    "plt.subplot(2, 1, 2)\n",
    "plt.pcolormesh(dyn_mag.qz[0, :].to('1/nm').magnitude,\n",
    "               delays.to('ps').magnitude, np.log10(R_seq_par[:, 0, :]))\n",
    "\n",
    "plt.ylabel('Delay [ps]')\n",
    "plt.xlabel('$q_z$ [nm$^{-1}$]')\n",
    "plt.colorbar()\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
}
