{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Phonons\n",
    "\n",
    "In this example coherent acoustic phonon dynamics are calculated accroding to the results of the `heat` simulations."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Setup\n",
    "\n",
    "Do all necessary imports and settings."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import udkm1Dsim as ud\n",
    "u = ud.u #  import the pint unit registry from udkm1Dsim\n",
    "import scipy.constants as constants\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "u.setup_matplotlib() #  use matplotlib with pint units"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Structure\n",
    "\n",
    "Refere to the [structure-example](structure.ipynb) for more details."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "O = ud.Atom('O')\n",
    "Ti = ud.Atom('Ti')\n",
    "Sr = ud.Atom('Sr')\n",
    "Ru = ud.Atom('Ru')\n",
    "Pb = ud.Atom('Pb')\n",
    "Zr = ud.Atom('Zr')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# c-axis lattice constants of the two layers\n",
    "c_STO_sub = 3.905*u.angstrom\n",
    "c_SRO = 3.94897*u.angstrom\n",
    "# sound velocities [nm/ps] of the two layers\n",
    "sv_SRO = 6.312*u.nm/u.ps\n",
    "sv_STO = 7.800*u.nm/u.ps\n",
    "\n",
    "# SRO layer\n",
    "prop_SRO = {}\n",
    "prop_SRO['a_axis'] = c_STO_sub # aAxis\n",
    "prop_SRO['b_axis'] = c_STO_sub # bAxis\n",
    "prop_SRO['deb_Wal_Fac'] = 0 # Debye-Waller factor\n",
    "prop_SRO['sound_vel'] = sv_SRO # sound velocity\n",
    "prop_SRO['opt_ref_index'] = 2.44+4.32j\n",
    "prop_SRO['therm_cond'] = 5.72*u.W/(u.m *u.K) # heat conductivity\n",
    "prop_SRO['lin_therm_exp'] = 1.03e-5 # linear thermal expansion\n",
    "prop_SRO['heat_capacity'] = 'lambda T: 455.2 + 0.112*T - 2.1935e6/T**2' # heat capacity [J/kg K]\n",
    "\n",
    "SRO = ud.UnitCell('SRO', 'Strontium Ruthenate', c_SRO, **prop_SRO)\n",
    "SRO.add_atom(O, 0)\n",
    "SRO.add_atom(Sr, 0)\n",
    "SRO.add_atom(O, 0.5)\n",
    "SRO.add_atom(O, 0.5)\n",
    "SRO.add_atom(Ru, 0.5)\n",
    "\n",
    "# STO substrate\n",
    "prop_STO_sub = {}\n",
    "prop_STO_sub['a_axis'] = c_STO_sub # aAxis\n",
    "prop_STO_sub['b_axis'] = c_STO_sub # bAxis\n",
    "prop_STO_sub['deb_Wal_Fac'] = 0 # Debye-Waller factor\n",
    "prop_STO_sub['sound_vel'] = sv_STO # sound velocity\n",
    "prop_STO_sub['opt_ref_index'] = 2.1+0j\n",
    "prop_STO_sub['therm_cond'] = 12*u.W/(u.m *u.K) # heat conductivity\n",
    "prop_STO_sub['lin_therm_exp'] = 1e-5 # linear thermal expansion\n",
    "prop_STO_sub['heat_capacity'] = 'lambda T: 733.73 + 0.0248*T - 6.531e6/T**2' # heat capacity [J/kg K]\n",
    "    \n",
    "STO_sub = ud.UnitCell('STOsub', 'Strontium Titanate Substrate', c_STO_sub, **prop_STO_sub)\n",
    "STO_sub.add_atom(O, 0)\n",
    "STO_sub.add_atom(Sr, 0)\n",
    "STO_sub.add_atom(O, 0.5)\n",
    "STO_sub.add_atom(O, 0.5)\n",
    "STO_sub.add_atom(Ti, 0.5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "S = ud.Structure('Single Layer')\n",
    "S.add_sub_structure(SRO, 100) # add 100 layers of SRO to sample\n",
    "S.add_sub_structure(STO_sub, 2000) # add 1000 layers of STO substrate"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Heat\n",
    "\n",
    "Refere to the [heat-example](heat.ipynb) for more details."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "h = ud.Heat(S, True)\n",
    "\n",
    "h.save_data = False\n",
    "h.disp_messages = True\n",
    "\n",
    "h.excitation = {'fluence': [5]*u.mJ/u.cm**2,\n",
    "                'delay_pump':  [0]*u.ps,\n",
    "                'pulse_width':  [0]*u.ps,\n",
    "                'multilayer_absorption': True,\n",
    "                'wavelength': 800*u.nm,\n",
    "                'theta': 45*u.deg}\n",
    "\n",
    "# temporal and spatial grid\n",
    "delays = np.r_[-10:90:0.1]*u.ps\n",
    "_, _, distances = S.get_distances_of_layers()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Elapsed time for _temperature_after_delta_excitation_: 0.062171 s\n",
      "Elapsed time for _temp_map_: 0.352768 s\n"
     ]
    }
   ],
   "source": [
    "temp_map, delta_temp_map = h.get_temp_map(delays, 300*u.K)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 432x576 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=[6, 8])\n",
    "plt.subplot(2, 1, 1)\n",
    "plt.plot(distances.to('nm').magnitude, temp_map[101, :])\n",
    "plt.xlim([0, distances.to('nm').magnitude[-1]])\n",
    "plt.xlabel('Distance [nm]')\n",
    "plt.ylabel('Temperature [K]')\n",
    "plt.title('Temperature Profile')\n",
    "\n",
    "plt.subplot(2, 1, 2)\n",
    "plt.pcolormesh(distances.to('nm').magnitude, delays.to('ps').magnitude, temp_map)\n",
    "plt.colorbar()\n",
    "plt.xlabel('Distance [nm]')\n",
    "plt.ylabel('Delay [ps]')\n",
    "plt.title('Temperature Map')\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Numerical Phonons\n",
    "\n",
    "The `PhononNum` 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": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "p = ud.PhononNum(S, True)\n",
    "p.save_data = False\n",
    "p.disp_messages = True"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The actual calculation is done in one line:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Calculating linear thermal expansion ...\n",
      "Calculating coherent dynamics with ODE solver ...\n"
     ]
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "4148776292514698803a8418fec7c400",
       "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_: 3.802484 s\n"
     ]
    }
   ],
   "source": [
    "strain_map = p.get_strain_map(delays, temp_map, delta_temp_map)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x576 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=[6, 8])\n",
    "plt.subplot(2, 1, 1)\n",
    "plt.plot(distances.to('nm').magnitude, strain_map[130, :],\n",
    "         label=np.round(delays[130]))\n",
    "plt.plot(distances.to('nm').magnitude, strain_map[350, :],\n",
    "         label=np.round(delays[350]))\n",
    "plt.xlim([0, distances.to('nm').magnitude[-1]])\n",
    "plt.xlabel('Distance [nm]')\n",
    "plt.ylabel('Strain')\n",
    "plt.legend()\n",
    "plt.title('Strain Profile')\n",
    "\n",
    "plt.subplot(2, 1, 2)\n",
    "plt.pcolormesh(distances.to('nm').magnitude, delays.to('ps').magnitude,\n",
    "               strain_map, cmap='RdBu',\n",
    "               vmin=-np.max(strain_map), vmax=np.max(strain_map))\n",
    "plt.colorbar()\n",
    "plt.xlabel('Distance [nm]')\n",
    "plt.ylabel('Delay [ps]')\n",
    "plt.title('Strain Map')\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Anharmonic Phonon Propagation\n",
    "\n",
    "The numerical phonon dynamic calculations also allow for phonon damping and non-linear phonon propagation.\n",
    "This can be achieved by setting the `phonon_damping` property and using the `set_ho_spring_constants()` method of the according layers."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "STO_sub.phonon_damping = -1e10*u.kg/u.s\n",
    "STO_sub.set_ho_spring_constants([-7e11])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Recalculate the coherent phonon dynamics:"
   ]
  },
  {
   "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": "0191bab5e38e48d0a7ab41fd77982db7",
       "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_: 3.802079 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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5gsrSEqthRzKYcsOb+JxzLjqeoLK0xEex3XqAzKGOoozIOecqkyeoLGNrmtihICP11aA8Qznn3HDzBJWlpbaF9nBE875rUJGG5JxzFckTVJaW+mA8vu07V/o1KOeci5AnqCxjGyYBsGPXar9R1znnIhRpgpJ0nqTlklZIui7Hekn6Rrj+WUknFCor6SuSXgq3/5WkMQOJqaVxCgA72tZ6E59zzkUosgQlKQ7cBJwPHAVcKumorM3OB+aGj6uBbxZRdhFwjJkdC7wMfGogcbU0Twdge/tGv1HXOeciFGUN6iRghZmtNLNu4A7goqxtLgJutcBjwBhJk/OVNbP7zSwRln8MmDaQoMaOmQ3AjvYtPt2Gc85FKMoENRVYm/G+NVxWzDbFlAV4H/DbXAeXdLWkpZKWbtmypXd5U/M04mbs6Nzu020451yEokxQyrEsOxX0t03BspI+AySA23Id3My+bWbzzWz+hAkTepfH4tWMSRnbu3d5Lz7nnItQVYTHbgWmZ7yfBqwvcpuafGUlXQm8FTjbDqALXgtxdvTsyRhJwlOUc84NtyhrUE8CcyXNllQDXALclbXNXcAVYW++U4BdZrYhX1lJ5wH/BLzdzPYeSGBjYzXsSHZ4Dco55yIUWQ3KzBKSrgXuA+LAd83seUnXhOtvBu4FLgBWAHuB9+YrG+76RqAWWBT2wnvMzK4ZSGwt8XqWJ3b5fVDOORehKJv4MLN7CZJQ5rKbM14b8OFiy4bL5ww2rgm1o/ljYoffB+WccxHykSRymFA/nvaYSHRvB7yJzznnouAJKocJ4WgS3e2vAl6Dcs65KHiCymFi8wwAOjpWAX6jrnPORcETVA4TWg4DYG9HK+A1KOeci4InqBwmjHsdAHu6NwOeoJxzLgqeoHJobJpKfcpo69kKQMozlHPODTtPUDkoFmOCiV2JXVGH4pxzFcsTVD8mxGrYEQ5E4RUo55wbfp6g+jGxqoFt1gN4Lz7nnItCUSNJSDoc+EdgZmYZM3vLEMUVuQm1LWzt2Q6kKq8G1b4Vutpg7KFRR+Kcq2DFDnX0M+Bm4BYgOXThlI+J9RPo3LuSptj2yqs/3X4JtD4J/28bxCMdDcs5V8GK/fZJmNk3hzSSMjN1zGzY9jgTa1ZVXi++1ieD5z0bYfSAJiR2zrmSKfYa1G8kfUjSZElj048hjSxiU8J7ocbUrKu8Jr60Xa1RR+Ccq2DF1qCuDJ//MWOZAQftRYqphxwPQF31Jip2uFhPUM65CBWVoMxs9lAHUm6aR8+iIZVCNTsrrwZVVQ+JDti7PepInHMVLG+CkvQWM3tA0jtzrTezXw5NWNFTLMbkVJye6j2VV3+qGRUmqG1RR+Kcq2CFalBnAA8Ab8uxzoCDNkEBTFQ9a6v2kkpVWIqyVPDc4TUo51x08iYoM/uX8Pm9wxNOeZlYNZplaq+8XnyJ7uDZm/iccxEq+iYXSRcCRwN16WVm9q9DEVS5GFc3ib0dG+jYux4YH3U4wycZJiivQTnnIlRUN3NJNwPvBj4CCHgXwagSB7WWhmBeqLZtT0UcyTAyg1QwxJNfg3LORanY+6BONbMrgB1mdj3wRmD60IVVHsa3HAvA1l3PRxzJMEr29L3euyO6OJxzFa/YBNUZPu+VNAXoAQ76ruct4+cTM2NT+8qoQxk+ya6+197E55yL0EBGkhgDfAV4GlgF3D5UQZWL6ppGDukx1ndvijqU4ZOuQTVMhO49kOjKv71zzg2Rgp0kJMWAJWa2E/iFpLuBOjM76GfzE9DSU0trfHfUoQyfdAeJpknQvjnoydc8OdqYnHMVqWANysxSwFcz3ndVQnICkKCuazRrYykS6a7XB7t0jakpTErezOeci0ixTXz3S/oLSRrSaMqMJBLdE+mRWL/x6ajDGR7pJr7GicFzh3eUcM5Fo9gE9fcEc0J1SWqTtFtS2xDGVRYE7OicBcDK1kcijWXYpJv4GtIJamd0sTjnKlpRCcrMmswsZmY1ZtYcvm8e6uCiJolVXUFX85c3/SniaIZJOkE1TgqeOz1BOeeiUeyNukuKWXawEdCeGsO0BLzY9lrU4QyP3gTlNSjnXLQKjWZeB4wCxktqIfjOBmgGpgxxbJGLhZfc5sSaeaGnIvqF9CWoUWNBMb8G5ZyLTKEa1AeBp4DXhc9Lw8edwE1DG1r00l1CptfOZH0cdu5cHW1AwyGdoKrqoG60N/E55yJTKEE9ApwKfMLMDgWuB54DHgR+PNiDSzpP0nJJKyRdl2O9JH0jXP+spBMKlZX0LknPS0pJmj/YGAEOGX0cAC+suLcUuytv6e708Wqob/EmPudcZAolqG8BXWb235JOB/4d+AGwC/j2YA4sKU5QCzsfOAq4VNJRWZudD8wNH1cD3yyi7HPAO4E/DCa+4DjBc8ukc5EZz7Q+NNhdlr90DSpeA3VjvInPOReZQiNJxM0sfafmu4Fvm9kvCEaUWDbIY58ErDCzlQCS7gAuAl7I2OYi4FYzM+AxSWMkTQZm9VfWzF4Mlw0yPFB4ya26bhKHW5yndr4y6H2Wvd4EVQv1Y7yJzzkXmUI1qLikdBI7m2B23bSi55Lqx1Rgbcb71nBZMdsUUzYvSVdLWipp6ZYtW3JuEwvPjhnMb5jBM9ZBT1f7QA4zsvR0wm/+LnjtTXzOuYgVSlC3Aw9KuhPoAB4CkDSHoJlvMHJVcbKnru1vm2LK5mVm3zaz+WY2f8KECf0EGBwmZTB/yil0xsRzL985kMOMLMvvCQaIBW/ic85FLm+CMrMvAP8AfB84LWxqS5f7yCCP3cq+c0pNA9YXuU0xZQct3UpoGPOPfDcxMx5+9e5SH6Z8ZI43GK8Jm/h2BVVI5ypMT7IH8//7kSpmsNjHzOxXZtaesexlMxvs4HRPAnMlzZZUA1wC3JW1zV3AFWFvvlOAXWa2ociyg5auppnBmHFzmEctv9txEE9emK49AVTVBE18loSuChrN3TmgJ9XD2379Nj76wEejDqWiFTsWX8mZWQK4FrgPeBH4qZk9L+kaSdeEm90LrARWALcAH8pXFkDSOyS1Esz6e4+k+w40xr4aVOAtE07g5ViK1tZHD3SX5S2zQ0S6iS97uXMVYE3bGtbtWcfvW3/PC9teKFzADYnBdnQYFDO7lyAJZS67OeO1AR8utmy4/FfAr0oRX7onYLqa/5bj3s9/LnmM+5bdwvunvbEUhygvnRnj/1bVBU18EFyHGjMjmpici8DKXX2zaN+98m6OGpd9B4wbDpHVoEaCzCY+gOnTTuENqSp+seUpUqlkZHENmc6Mfi9SXw3Ke/K5CrOrK/hbOGbcMdy78l4SqUTEEVUmT1B59NagMjoIvmv6AtbGUjz6zPcjimoIdWXNoFLfEjx7E5+rMF3JYOLOdx7+TrZ1buPJjU9GHFFl8gSVR3YNCmDhqdcxKZnif5bdiCV6IolryHTugknHwHVrgveZTXzOVZB0glowYwH1VfXcv/r+iCOqTJ6g8ujtJJGRoGpGjePDh76DZ2MJ7v7Ne6MJbCjsXAOvPhDUoupGB8u8ic9VqHSCaqpp4sxpZ7Jk9RJv5ouAJ6g8Yr1NfPt6++nXc1x1C1/Y+SeW//bjfdOkj2Qvh50dj35n37KaBohVexOfqzhdiS6qVEVVrIpzZ53Ljq4d3swXAU9QRUhl3awXj8X5jwt/RGO8nqs23s93bj6WTX/8akTRlcjGZ4NrTgs+17dMCpr5vAblKkxXsovaqloA3jT1TYyqGsV9qw74jhV3gDxB5dE73myOm8mnjJ7Bre+4k2NajuC/Gqv47CuDnn0kWptfDK4/ZQ+y68MduQrUneymNh4kqLqqOs6YfgZL1iyhJ3UQtJaMIJ6g8sjViy/TlKap3HLxLzmKWjoHNhRgeUn2BAlq4pH7r/MRzV0F6kp2UROv6X1/7sxz2dm105v5hpknqDxy9eLLZTQxUiM5Qa16KBjm6NCz9l/nI5q7CtSV7KIuXtf7Pt3Md/8q7803nDxB5dFfJ4n9tss5uPoI8tI9UD0KDsuRoLyJz1Wg7BpUXVUdZ04/k8VrFnsz3zDyBJVH+nJMdieJ/bZDI7cGlUoFCWrO2VBdv/96b+JzFSjzGlTaObPOYVfXLp7c4M18w8UTVB7FNvFJkBryaIbI2sdg9wZ43dtyr69vCcboS43YT+jcgGXXoABOm3pa0JtvtffmGy6eoPLJGs28PzE0UutPsOw2qGmEI9+ae33dGMCga7DzUzo3cmRfgwKojddy1oyzvDffMPIElUcs11ASOQj129OvrHXtged/DUdfHNyUm4sPd+QqUK4aFMA5M4Nmvic2PBFBVJXHE1Qe6Sa+VKEmvpFag3r6B0HvvTfkGbIpPWCs9+RzFSTXNSgIevM1VDf4TbvDxBNUHtnzQfW/3Qi8BpXogkduhJmnwbT5/W/nkxa6CtRfDao2XstZ072Zb7h4gsojz0AS+4ihgkms7Dx+M+xeD6d/Iv923sTnKlCua1Bp58w8h7buNh7f8PgwR1V5PEHlUeQlqJHXxLdzDTz4FTj8vNz3PmXyEc1dBeqvBgVw6tRTGVU1isWrFw9zVJXHE1QeKvJGXWkEJahkD/ziA8Hr875UePt6b+JzlWNX1y7ed9/7aO9pz3kNCoJmvvTYfD4Fx9DyBJVHXw2qUC8+RsaNuqkU/PpDsPZxeOvXYOzswmWq66GqzmtQriI8uuHR3vH2+ktQAAtnLmRn106e2vTUcIVWkTxB5VHsjboj4j6ozl3w07+GP/8U3vL/4Nh3FV/WhztyFaKtq633dXq6jVxOm3oa9VX1LFq9aDjCqlieoPIoNJp55nZlm6D2bofHbob/ng/Lfxs06xXqGJGtvsWb+FxFWLdnXe/rfDWo+qp6Tpt6GkvWLCFlI64P74hRFXUA5azooY5Q+XUz79gB9/wDvHAXpHpg+ilw2R0w9Q0D35dPWugqwNaOrTy96ene9/11kkhbMGMBi1YvYtnmZZww6YShDq8ieYLKYyCjmZddDerefwyS00l/A/Mug0Nef+D7qhsDu1pLF5tzZSaRSnDZPZexoX1D77J8NSiA06edTk2shkWrF3mCGiLexJdH0aOZl1sTX09nkJzmvw/O+/fBJSfwEc3dQStlKR5Z/wiX3nPpPskJCieoxppGTp1yKotWL/JmviHiCaoIxd0HVUYpasMzkOyCQ88szf580kJ3EPq/Vf/Hhb+8kA8u+iDbO7Zz7bxr+Y/T/4PJDZOBwgkKYOGshWzau4nntj431OFWJG/iy0NFzkPYnUiV1zWoXWuD53GHlWZ/dWOge3dwD1W8ujT7dC5Cy7cv55MPfpLXjX0dX3rzl1g4c2HvNac7XrqDDe0bqK/KMT9aljOmnUGVqli8ejHHTjh2qMOuOF6DykMUHouvJ5li/c5OkuU01FFb2BOpaXJp9td7s65PueEODj9/+efUVdVxyzm3cOGhF+7TIeKY8ccAMKZ2TMH9jK4dzclTTub+1fePvOHORgBPUHnEihjq6N4/B+3WZfVfs20D1DRBXXNp9ucjmruDzNJNSzl+4vGMrh2937qPnfAxvnfu9zhi7BFF7WvhjIWs27OOl7a/VOowK54nqDzS90Hlm27jew+vCq5BFdkcuJ8ty4ORxUupbR00Tynd/nxEc3cQ6Ux0smLnCuZNmJdzfXW8mvmH5BnhP8tZM84ippjftDsEPEHl0Teaee4M9fz6XSxbuxPsAHvxvbIYbjoJ7rjsQEPMrW09NJeoeQ8yalA+moQb+dbvWQ/A9ObpJdnf2LqxnDjpRBatXuTNfCUWaYKSdJ6k5ZJWSLoux3pJ+ka4/llJJxQqK2mspEWSXgmfWw48vuC5v/9zP1vaSk08Rn1NfGAJastyeOAL8Pt/D96vWAytJRzTa/cGaJ5auv15gnIRSKQSfP6xz/OXd/0ld716V8n227onuKdvWuO0ku1zwcwFrGpbxas7Xy3ZPl2EvfgkxYGbgIVAK/CkpLvM7IWMzc4H5oaPk4FvAicXKHsdsMTMvhQmruuAfzrAGIHc15e6EynuXLaOhUdNIrU7FmyTTECiA3o6oLMN9m6FvdugfWvQ7LZ9Jax7GrZn/Cd+09/B0u/DQ1+FS398IGH2+fPPYeoJsJMNrXcAACAASURBVHtjaZv4PEG5EutJ9dCR6KAz0UlnopOORAdt3W0kUgkeWf8IXckuNuzZwO9bf8/Uxql85o+fYeXOlfzdCX/X+3c5UJ/942fpSfUwb2LQtDe1sXQ/4s6ecTZffPyLLFq9iDktc0q230oXZTfzk4AVZrYSQNIdwEVAZoK6CLjVgnrzY5LGSJoMzMpT9iLgzLD8D4Dfc4AJKtg3OatQD7y0iR17e/jL+dP46e9idEj85035u3UnqhtprxlFYvLr2VMzntrEbtZs28vkiccybcvDrP7eO2irmYSFI1MofCVLQcbrYG3f6+pUB/WJNibtfZmkqom3NLFqzZ/Y/JP0xx5ss0OKE8e2sO65u1i3akWRZYo7ZkP3Vkb3bEKWRP1UVUvdaFLM/kp5X9sBX5/sb39FxDaQ6GMIWfhM0Hs1eAYy7vFLZRw7PXq/qe919vouUrSrhw4l6SZFd/qZFEn1H2E6lqSMi7tncN7mafy4OsH/Pve/PPzMzzkpMZ5mq6GaGCkseMhIhcdNZjwMY3VsD7NSjdxZG/wwfG3Fw1THYqz4wWd5ldL94xxW28Sdf/o+xz/6TMn2mdZJgsertrJNXSTL66aWIRVlgpoKrM1430pQSyq0zdQCZSeZ2QYAM9sgaWKug0u6GrgaYMaMGf0GKXJ3kvjZ0lYmNtXy5jnj+e4fTwHu5qdjxvaVUvo5+FM3REdPEiwF6gxCrgI6fs+LMaO2qZk4L0P3y73HLUbvdnGgqTF8U0tH6jUS7WuK3Mt+e9vPhsYGummls33LoPeVFidJM3sBMClvkQGfj3yKvE5QymOWNP4S7svCR1KQyhgRJUWQfCzcT8zoTVoxADNi9F0jiIXbBK8NAfUpY0wqxbSUUZcyas2oM6MuBfXh69pUuMyMpqQRw5jVk6Q2ZeyIx5ie2AQ8yTzgF831/O+YJLfWDvx2hz+wqff1i/FdzOpOcNzGXw14P/m8rbmer41vZsy2O5nRkyzZflPA1VNa+HNNDXEzqrP++5bZODYlFWWCyvX3k32m+9ummLJ5mdm3gW8DzJ8/v9+ywTBG+67etbeHB1/ewvtOm01VPMaomncwYdu5/N/HTu/3eIte2MTf3LqUn1/zRubPGrv/BmZB89+utWBJepNbrBpicYhVZTxXgcLXECx/5X7o3gMP/1ew7MNPwITiuskW5euvhxmnwDu/Vbp9/t+nYen/wsefh4bxpduvOyhk/7K8ArjcUqzbvY627ja6kl3EFCOuOPFYPHhWnFgsRrWqicVi7O3ZS11VHV976mu8c+47+erSr7Ji5wpmHbqAUX/z3yWN94L2jXzt5wv540X/xgde/4GS7feJDU/w5/vfz6dP/jSXHHHJATdxlhO9r7jPEGWCagUyu9FMA9YXuU1NnrKbJE0Oa0+Tgc2DCTJXC98DyzeRSBnnHXMIEAwqW2i8vte27gFg7qSmfg4kmPaG4HEgpsyDrt19Capl1oHtpz91QzAe34ZlMPk4T06uaDHFDqj33Q1n3gDAA2seYMXOFUxtKmEnotAhDYfw+vGvZ9HqRSVNUA+2PkhtvJaL51x8UCSngYiyF9+TwFxJsyXVAJcA2V117gKuCHvznQLsCpvv8pW9C7gyfH0lcOdggozlGAj2vuc2MbGplnnTgvuDpPz3SgG0dSSICZrrhvA3QW0TzLscXv9XkGeytQNS31L6ThJbXoKJR5Z2n87lsWDGAiCYcHAoLJy5kBe2vUDr7tKN/r9y10pmNc8qauilg01kCcrMEsC1wH3Ai8BPzex5SddIuibc7F5gJbACuAX4UL6yYZkvAQslvULQy+9LgwpU+45m3tmT5MGXt3DO0ZOIhUNNSCp4/0NbZw9NddVD/wvo4pvgL24p/X5LnaASXUEPx+bSdfV1rpBTp57K45c9PmQJasHMIAEuWbOkZPtctWsVs0bPKtn+RpJIB4s1s3sJklDmspszXhvw4WLLhsu3AWeXKkbBPle3HnplKx09Sc49+pDeZTGp4HX33Z0Jmoay9jTU6ks87fuesOW1MWcfFueGzKjqUUO27+lN0zly7JHcv/p+rjz6ysIFCuhOdrO+fT0XHnphCaIbeXwkiQLiMZHMaL+77/mNNNVVcfLscb3LYio8Z9TusAY1YqWn3CjVnfK9CWpSafbnXJlYMHMBz255lo3tGw94H+v2rOObz3yTl3e8TMpSFVuD8gRVQFzqHanczPjDy1s44/AJ1FT1nbr+uqJnausY6TWolmDq+O720uxvT9jt12tQ7iCzcOZCYHDNfF9+4sv8z7L/4YuPfxGA2c2zSxLbSOMJqoB4XKTC7PP8+jY27+7i1MP27XUWy9EVPVtbZw/NI70GBaVr5utNUF6DcgeX2aNnM2fMnAMePHZj+0b+0PoHAP689c8AzGyeWbL4RhJPUAXEJRIpY9feHj7762DWzAVH7vurXxKpAjd37+5MDG0PvqFWqhHN27fBj/4CnrkjeO81KHcQWjBzAU9vepqtHVuLLpOyFB/73cdY+POFpCzF2w59GwAN1Q001jQWKH1w8gRVQCwW3OP0jQdeCUYuByY21+27jfJParijvZt1OztGfhMfDK4G1bkL7v9MMDju2sdg1DifodcdlBbMWIBh/G7t74ou87PlP2PJmiWcP/t8vnLGV7j8qMuBoesSPxKM4G/M4VEVdpJYu31vv9sEN+ruu6w7keKri5bzrQdX9i5rrh/BX8aDTVAv3An3/ANkDpU02ruYu4PT4S2HM71pOktWL+Fdh7+r4PYb2zdyw1M3cMrkU/jym7/cezvKd8/9Loe3HD7U4ZYtT1AFxMImvvFNwY2vZx0xYb9tlNWL7zsPreTz97y433aFevqVtfS07wNNUGbBtCIPfjkYNWLB54IRL/7vOkj2lDpK58qCJBbMWMAPX/ghbd1tNNfkn936K09+hZSl+Jc3/ss+90qeeMiJQx1qWfMmvgLisaCTRHr696+9e/9ZOBWONmFmnPzFxfskp4c+eRY/eN9JAEwZM4LvBD/Qad8f+HyQnOZdDh9YAsdfDkddHMxXdepHSx+nc2Xi7Jlnk7AED659MO92G9s3snjNYi4/6nKmNXmrQiavQRVQFRNJg73dSaaOqWfMqJr9tklfg5r9qb77hv9+4eF89Oy5AEwfO4rFf386h00YwRc6q0dBvGZgNahnfwYP/SeccCW87b/6ZoBsngwfew5i/vvIHbxeP/71TKyfyJI1S3jbYW/rd7u7V95NylK8c+47hzG6kcETVAGxmEimUiSSMKomnnsbia17unvf33Xtmzg2HKcvbc7EfgaJHSmkgQ131LY+uOY0/RS48Kt9ySnNk5M7yMUU4y0z3sKvV/yavT17+x3B4tH1j3JEyxFMbyrNFPQHE/+WKCCuoJPE3u5kvwmqrbPvWsr1bz96v+R00BjIiOa//SQku+Hi//Geeq5iLZi5gM5kJ4+sfyTn+s5EJ8s2L+PkydlT4TnwBFVQMNQRdHQnqe8nQXX1BDdBffeq+Vx56qxhjG6YFVuDan0KXvwNnPZxGJd/lmHnDmZvmPQGRteOZvGaxTnXv7zjZbpT3Zww6YRhjmxk8Ca+AuJhE9/engQTm+pybvOvFx3N+988mxNzTUR4MKlvgbYiphH43eeDe5ze+KGhj8m5MlYVq+Ks6WexePViepI9VGe1Jry26zUADhvtP+Ry8RpUAbGMThL91aAmNtcd/MkJwhHNCzTxbVkOrz4Ap3womJ/KuQq3cOZC9vTs4fGNj++37rVdr1EVqxqSCRQPBp6gCogLUimjozvJqOrcCapipEc0z2fpd4Np6k8Y/FQDzh0MTp58Mg3VDSxevX8z39rda5nWOI3qmF+nzcUTVAFVsRiJVIr2rkS/nSQqRn0LdO/u/wbbng5YdjscfTE07n9Ds3OVqDZey+lTT+d3a39HMpXcZ92Orh2MrauA1pcD5AmqgFgMUino6EkyqrbCL9mlB4ztrxb16gPQtQuOu3T4YnJuBDh75tls79zOnzb/aZ/lOzp30FLXElFU5c8TVAHxmOhMJOlJGg1egwqe++tq/sJdQRKbffrwxeTcCPDmqW+mJlaz3xxROzp3MKb2IL0tpQQ8QRUQj8Vo6wiatEbVVHgNKt+AsYluWP5bOOICv+/JuSyjqkdx6tRTWbxmce/MB2bGzq6d3sSXhyeoAuIK5nICaKj1GhSQO0GteTRo3jvyrcMbk3MjxIIZC9jYvpEXtr0AwO6e3SQt6TWoPDxBFRCPKSNBVXoNKs+I5q/9ARSHWW8e3picGyHOnH4mccV7b9rd0Rn8Hfk1qP55giogHhPdyWCkiAZv4guec3WSWPUQTDke6vJPK+BcpRpdO5oTDzmRxauDZr50gvIaVP88QRUQj/UNclrx3czrRgfP2TWorj2w7invHOFcAQtmLGBV2ypW7lrJzq7gh55fg+qfJ6gCYhmjcI8eVeEX/2NxqB29f4Ja8xikEp6gnCvgLTPeghCLVy/uq0HVeQ2qP56gCqjKqEH1NxZfRanPMaJ565OgGEyr7Nk/nStkwqgJHDfhOJasWdJbg2qp9WtQ/fEEVUA8nLeoOi5aKr0GBblHNF//Jxh/BNSO4AkZnRsmC2Yu4MXtL/L8tuepjddSXzWCZ9oeYp6gCkh3LT9kdB3KnnSvEmUnKDNY/3TQQcI5V9BJh5wEwINrH2RM7Rj/XsnDE1QBjWHX8tcd4r3TgHBE84wE1bYO2rfAVJ/PxrlizBkzh+pYNZ3JTu8gUYAnqALSnSRmj2+IOJIykT2i+fpwbLHJ86KJx7kRpjpezeEthwMwadSkiKMpb56gCjh1zjgAzjpiYsSRlIl0E184XAubXwyeJx0VXUzOjTBHjQv+XsaPGh9xJOWtwu88LezUw8bz3PXn9jb1Vby6MWBJ6Nod3JS75SUYMwNqvIbpXLHmtswFYFzduIgjKW+R1KAkjZW0SNIr4XPOfpaSzpO0XNIKSdcVKi9pnKTfSdoj6cZSxevJKUP2eHxbXoYJr4suHudGoAtmX8AHj/0glx15WdShlLWomviuA5aY2VxgSfh+H5LiwE3A+cBRwKWSjipQvhP4f8Anhjb8CjYq/MW3dxukkrD1ZZhwRLQxOTfCjK4dzbXHX+udJAqIKkFdBPwgfP0D4OIc25wErDCzlWbWDdwRluu3vJm1m9kfCRKVGwqN4bW49i2wYxUku4J7oJxzrsSiaruaZGYbAMxsg6RcPRCmAmsz3rcCJw+gfF6SrgauBpgxY8ZAi1euhnAq9z2bwYJBdL2Jzzk3FIYsQUlaDBySY9Vnit1FjmV24BFl7cjs28C3AebPn1+y/R70emtQm2Hv1uD1hMOji8c5d9AasgRlZgv6Wydpk6TJYe1nMrA5x2atwPSM99OA9eHrYsq7oVBdDzVNsGcLdLVB4yF9o5w751wJRXUN6i7gyvD1lcCdObZ5EpgrabakGuCSsFyx5d1QaZwQ1KC2vgLj50YdjXPuIBVVgvoSsFDSK8DC8D2Spki6F8DMEsC1wH3Ai8BPzez5fOXDfawCbgCuktSa0fPPlUrDxOAa1NaXYdycqKNxzh2kIukkYWbbgLNzLF8PXJDx/l7g3mLLh+tmlSxQl1vTIbDy98G0G+P9+pNzbmj4UEdu4MbN6ZsTypv4nHNDxBOUG7jMWpPfpOucGyKeoNzATcy472n09P63c865QfBB5tzAHXIsvPFamHwc+GRrzrkh4gnKDZwE534h6iiccwc5b+JzzjlXljxBOeecK0ueoJxzzpUlT1DOOefKkico55xzZckTlHPOubLkCco551xZ8gTlnHOuLMnMJ5OVtBtYHnUcRRoPbI06iCKMlDhh5MQ6UuKEkRPrSIkTRk6sxcQ508wmFNqRjyQRWG5m86MOohiSlo6EWEdKnDByYh0pccLIiXWkxAkjJ9ZSxulNfM4558qSJyjnnHNlyRNU4NtRBzAAIyXWkRInjJxYR0qcMHJiHSlxwsiJtWRxeicJ55xzZclrUM4558qSJyjnnHNlqeITlKTzJC2XtELSdRHH8l1JmyU9l7FsrKRFkl4Jn1sy1n0qjHu5pHOHMc7pkn4n6UVJz0v6uzKOtU7SE5KeCWO9vlxjDY8dl/QnSXeXeZyrJP1Z0jJJS8s1VkljJP1c0kvh/9c3lmmcR4TnMv1ok/SxMo314+Hf0nOSbg//xoYmTjOr2AcQB14FDgVqgGeAoyKM53TgBOC5jGX/AVwXvr4O+HL4+qgw3lpgdvg54sMU52TghPB1E/ByGE85xiqgMXxdDTwOnFKOsYbH/3vgx8Dd5frvHx5/FTA+a1nZxQr8APhA+LoGGFOOcWbFHAc2AjPLLVZgKvAaUB++/ylw1VDFOawnvtwewBuB+zLefwr4VMQxzWLfBLUcmBy+nkxwU/F+sQL3AW+MKOY7gYXlHiswCngaOLkcYwWmAUuAt9CXoMouzvB4q9g/QZVVrEBz+GWqco4zR9znAA+XY6wECWotMJZgoIe7w3iHJM5Kb+JLn+y01nBZOZlkZhsAwueJ4fKyiF3SLOB4gppJWcYaNpstAzYDi8ysXGP9OvBJIJWxrBzjBDDgfklPSbo6XFZusR4KbAG+FzabfkdSQxnGme0S4PbwdVnFambrgP8E1gAbgF1mdv9QxVnpCUo5lo2UfveRxy6pEfgF8DEza8u3aY5lwxarmSXNbB5BDeUkScfk2TySWCW9FdhsZk8VWyTHsuH893+TmZ0AnA98WNLpebaNKtYqgibzb5rZ8UA7QfNTf6I+p0iqAd4O/KzQpjmWDcf/0xbgIoLmuilAg6TL8xXJsazoOCs9QbUC0zPeTwPWRxRLfzZJmgwQPm8Ol0cau6RqguR0m5n9spxjTTOzncDvgfMov1jfBLxd0irgDuAtkn5UhnECYGbrw+fNwK+Ak8ow1lagNawxA/ycIGGVW5yZzgeeNrNN4ftyi3UB8JqZbTGzHuCXwKlDFWelJ6gngbmSZoe/XC4B7oo4pmx3AVeGr68kuN6TXn6JpFpJs4G5wBPDEZAkAf8LvGhmN5R5rBMkjQlf1xP8gb1UbrGa2afMbJqZzSL4f/iAmV1ebnECSGqQ1JR+TXAN4rlyi9XMNgJrJR0RLjobeKHc4sxyKX3Ne+mYyinWNcApkkaF3wNnAy8OWZzDfQGw3B7ABQS90F4FPhNxLLcTtOv2EPzyeD8wjuDC+Svh89iM7T8Txr0cOH8Y4zyNoJr+LLAsfFxQprEeC/wpjPU54J/D5WUXa8bxz6Svk0TZxUlwbeeZ8PF8+u+mTGOdBywN//1/DbSUY5zhsUcB24DRGcvKLlbgeoIfec8BPyTooTckcfpQR84558pSpTfxOeecK1OeoJxzzpUlT1DOOefKkico55xzZckTlHPOubLkCco551xZ8gTl3ABJSoZTIjyvYBqPv5cUC9fNl/SNPGVnSbps+KLd79gd4biEpdhffXgeuiWNL8U+nctUFXUAzo1AHRaM7YekiQTTY4wG/sXMlhLcGNqfWcBlYZkovJqOfbDMrAOYFw7P5FzJeQ3KuUGwYCy6q4FrFThTfZMNnpExAd2fwuGBvgS8OVz28bBW85Ckp8PHqWHZMyX9Xn2T7d0WDi2DpBMlPRLW3p6Q1BSO2P4VSU9KelbSBwvFHh77RUm3hLXB+8PhoAiP/TVJfwi3OVHSLxVMSPf5oTqfzmXyGpRzg2RmK8MmvolZqz4BfNjMHg5Hfu8kGE37E2b2VgBJo4CFZtYpaS7BcFfzw/LHA0cTDK75MPAmSU8APwHebWZPSmoGOgiGxdplZidKqgUelnS/mb1WIPy5wKVm9jeSfgr8BfCjcF23mZ2uYMbkO4E3ANuBVyV9zcy2HcDpcq5onqCcK41c0wo8DNwg6Tbgl2bWGlaCMlUDN0qaBySBwzPWPWFmrQDhdaNZwC5gg5k9CWDhNCeSzgGOlfSXYdnRBMmnUIJ6zczS16SeCo+Rlh44+c/A8xbO9yNpJcEI1Z6g3JDyBOXcIEk6lCC5bAaOTC83sy9JuodgIN3HJC3IUfzjwCbgOIIm986MdV0Zr5MEf68i93w6Aj5iZvcNMPzsY9TnWJfK2i6Ff3e4YeDXoJwbBEkTgJuBGy1r5GVJh5nZn83sywQdJ14H7AaaMjYbTVAjSgF/DcQLHPIlYIqkE8NjNEmqIphK+28VzNOFpMPDqTCcG7H8V5BzA1cfNrlVAwmCKQduyLHdxySdRVAzeQH4LUHtIyHpGeD7wP8Av5D0LuB3BLO+9svMuiW9G/jvsENDB8EcV98haJ57OuxMsQW4eJCf07lI+XQbzlUISbMI5pnKN+X9gex3FTDfzLaWcr/OeROfc5UjCYwu9Y26BDXJVCn26Vwmr0E555wrS16Dcs45V5Y8QTnnnCtLnqCcc86VJU9QzjnnypInKOecc2XJE5Rzzrmy5AnKOedcWfIE5Zxzrix5gnLOOVeWPEG5ISPJJM2JOo6BkvRpSd+JOo5cJO0Jp/dw7qDnCcoVFE7/vSOcqfWgZ2ZfNLMPDLScpKPDadN3SNop6SlJF4TrzpTUWoLYGs1s5QHENiv8wfB01vLxkrrDAV+dKyueoFxe4QjYbyaYJO/tEcUwUqaF+Q2wCJhEMP37R4G2YgsP0+dskJQ5mvllFJ5117lIeIJyhVwBPEYwd9GVmSskfV/STZLukbRb0uOSDssqv0DSK2Gt4qZwriIkHSbpAUnbJG2VdJukMRn7XiXpnyQ9C7RLmhPWAN4raW24v2sknSjp2bDGcmNG+Zikz0paLWmzpFsljQ7XpWsTV0paEx7/MxllPyfpRxnvT5P0SHiMtZKuyj5JksYDs4FbzKw7fDxsZn8MJw78LcFEg3vCx5TwOD+X9CNJbcBVkk6S9Gh4rA2SbpRUk3Gc3mbTIs9/th9m/TteAdya9Vmuk/RquM8XJL0jY91Vkh6W9N+Sdkl6SdLZBY7p3IExM3/4o98HsAL4EPAGoAeYlLHu+8B24CSCyS9vA+7IWG/A3cAYYAbBJHrnhevmAAuBWmAC8Afg6xllVwHLgOkE05DPCvd3M1AHnEMwPfqvCWorUwmmXD8jLP++MPZDgUbgl8APw3Xpfd0S7vs4ginNjwzXfw74Ufh6BsEsuJcSTCsxDpiX4zwJeCX8vBdnnqdw/ZlAa9ayz4Xn9GKCH4v14Xk+JTyfs4AXgY9lndM5xZz/rGOlP/MsYC3BzL1HAssJJjxclbHtu4ApYUzvJphEcXK47iqCSRo/Hp6PdwO7gLFR/1/1x8H38BqU65ek04CZwE/N7CngVYImoUy/NLMnzCxB8AU5L2v9l8xsp5mtIZgxdh6Ama0ws0Vm1mVmWwhmpD0jq+w3zGytmXVkLPs3M+s0s/sJvjhvN7PNZrYOeAg4PtzuPcANZrbSzPYAnwIuyWpGu97MOszsGeAZgkSV7T3AYjO73cx6zGybme03n5KZGXAWQWL9KrBB0h8kzc2xz0yPmtmvzSwVxvKUmT1mZgkzWwV8K8d5yVTo/GdrpS8pXUlW7Sn8LD8zs/VhTD8hSLwnZWyymeDHRE+4fjlwYYHjOjdgnqBcPlcC91vfTKk/JquZD9iY8XovQW2l4HpJEyXdIWld2Lz1I2B8Vtm1OWLalPG6I8f79PGnAKsz1q0mqGVMGkDsENTgXs2xfD9m1mpm15rZYQSJvZ0cCSDLPp9R0uGS7pa0MTwvX2T/85KpmM+Q7VaCmtClBOd9H5KukLQsbGbcCRyTFcO6MCGnrSY4386VlCcol5OkeuCvgDPCL8uNBM06x0nKVdMYqH8naHI61syagcsJmskyDWY2zfUESSJtBkHT1Kbcm/drLVDous5+zGwtcBPBlzv0/1myl38TeAmYG56XT7P/eRmsXxDUeFaaWWYSR9JMgqbPa4FxZjYGeC4rhqnpa4mhGQTn27mS8gTl+nMxwRThRxE0G80juGbxEMGF9cFqAvYAOyVNBf6xBPvMdDvwcUmzJTUS1ER+EjaFDcRtBB09/kpSlaRxkvZrRpPUIun6sDNHLOw08T6CDiYQJMZx6Y4aeTQR9PzbI+l1wN8OMN6CzKwdeAuQqyt9A0HS3AIg6b30Jdm0icBHJVVLehfB/4t7Sx2nc56gXH+uBL5nZmvMbGP6AdwIvEeD7xJ9PXACwQX2ewg6MZTSdwl6rP2BoBt1J/CRge4kvHZ2AfAPBB0SlpH7WlU3QQeExQQJ5jmCjhdXhft5iSBprgybzvprEvsEwXW+3QQ1mZ8MNOZimNlSM9uv6dLMXiC4hvYoQVJ9PfBw1maPA3OBrcAXgL80s21DEaerbNq3Kdk55/oXdrH/gJmdFnUs7uDnNSjnnHNlyROUc865suRNfM4558qS16Ccc86VpZEyCOeQqho12kaNn0xddZyaqhjVcVEVEzGJuIQU3gQiUHg7SI2n9mFnKvXtQMWR2bAeO328zGcYxOdPN5Kob/8DKp6OJWNXvXswkKA7ab2HkNR705RE799POAhjeHwDM7BU8AxgqWAbS2GxOCgWFM51G5jy/wFG9X8l25+efnqrmU0Y7H5izdOMRGdR21rHtvvM7LzBHrMceIICakZP5MRP3MLhU5o5dEIDhzTV0VJfTVNNnMaaKmqqgkQVj0Es/GOZ3uSnbjhVSnLKPu5gk1P6u1+DSE6xZA+dVJG+HJCyvgRVFRNr2rqJEfx9VMVEXFAdE1Xx4O+mOr08FuyLZA9KJSDRjVIJlOyBZDdK9KBEJ6lRLaRqGiBeFSapGKYYshQWq8Kq8s/6Ui7JCWBUff3qwlsVIdlF9ZHvKLwd0P30d/KNPDKi+LesK3uVkpxKXXMqRXJSKkm3qrDUvskpZVATH2RySr9OdqNkIkhO9aP7T06KjajkVGqKxaMOYdh5gnIuhyhqTuWSnNLHlBldFsPMSKVb4YBkyojHxOpd3cQlquKEyUhhMqLvCNRLcAAAIABJREFUtaBKoEQXpJIo2Y0S3X2vk92QCBJVsnFCkIDiVRALvposVoVSCSxejcVr+ol437gPTvIE5Vy5ibJ5LarjRp2cFF4b6i85BTWnnv2SU1z0Jqe46EtOye59k1NYc9onOTWMw2rqg1pTZnJKdmNVtRWenAiu3XmCcq58DNeXTmZCKofkNJjjZyanYhNTds3NJLqSAvZNTj0poztpbGxP9CanIBkFtaXqGMRj6dciZsmg6a73GlNGokolUE8XphjJpolYVU2QmMLOD+nklKppGDEdIoaSAMU9QTlXUcohOQHlkZxSSSwWpyuRAtgvOQHs7EzuU3PKm5wyO0AkE/vUopTswWJVpEaN6Tc5WXW9J6c0iZjXoJwrD8PxxVOybtyDPH726wNRiuSUIEYiKzlBkJx2dSXpSth+15jSzXlVMVEddowIak49YdNeojch9XaG6OkgVdeE1TYFySnsDBHEFEOpRMGaU8UkpgzexOdchfDk1JecYskekrFqEsncNae9PamcySmoQeVJTv11I68fjdU05E5OliJVoOZUkclJIlZVHXUYw84TlCs7w/EFVA7JKcrOEJnJqVtVJJP715xSBtv2Jkma9daWqsKmvL4aVF/TXs5u5Jk99ZLdpBrGBQkoqxt57zFrGvJ/5gpMTgHvJOHcQa9UnRFKcXwY/uT0/9t78yjJ7qvO83PfizXX2iS5XJJcMhZgNeCl5Q2zeLDltjzG8hyg22aMBXhaMG0z2LQHZHymgT70HENzMGvjUbO0ATduAwarQbRtRLsZzNiWvGjfyiVZKqlUe2XlEhEv3nt3/vi9F/EiMiIyMjMyX0TG/ZzzTkS8eMsvsyLjW/f3u997uyOnQApEGY9TShgrZ2ud4uR3iZPL2usSpyiAJDFiWHFqeZyK1Q3HPrVYFp9h7G26xSHv+49F5BRrhzClqeQXGhFh3J7WS4242RTyVkmwbOTUS5zicGDkZOI0HCZQhpEzO/lFlEfkNE7VIVprXnHkShfFnWnkKafWQlTpmNYrJtUg0mm9gie9DbipOIWBe088Z8D1i50G3AktXZQbIlOZZm4lT42xYae/iEycnDj1MuCC89o8u7JenPx+4hRnoqVucUrSyKPZg2ix3Fuc/KKJ05AILoIaZtvwWiJvEJFHROSYiNza430Rkd9I3r9XRF66iXPfJyIqIiOpB2gRlDEW7MQXUd4ep14G2C1fawuZer3GUY/XG3BjhaIHTywF+J5Q8lN/U7uuXjat3EOTKby2AbcjUy8K0FKVuLKIpsLUw+Ok3uCvHxOnDCNagxIRH/ht4AbgBHCXiNyuqg9mDrsRuDbZXgH8DvCKjc4VkauS957c9kATLIIy9iR5i1P2vttd89pqGnn6mJ7Ty4ALTpyevNR0kZL0FydfSNLIB4hTWEcLZeLyvInTKBHBL5SG2jbg5cAxVT2uqgHwMeCmrmNuAv5QHZ8H9onI4SHO/RDw03TOGG8Li6CM3Bn1l1HeHqeUcakOEeIRdmXqpR6nkietyGmd+bY7cur2OPXK1JvZ7wTIDLgjRTaXZn5IRO7OvL5NVW9Lnh8Bnsq8dwIXJWXpdcyRQeeKyJuBp1X1Hhnhv6EJlJEre1WcsmPZKqMQp1j8ngbcKFaKSS+ndanjWxWn6qITp0ymnhuTidMo2IRAnVXV6/tdpse+7g9Xv2N67heRGeADwOuHHeCwmEAZuWHi1J9R1dULwrhnGnnJ74yc0qoQPdecths5aWzitF1G54M6AVyVeX0l8MyQx5T67P8G4BogjZ6uBL4sIi9X1We3M9iJXoMSkfeKyAMicr+I/ImIVETkgIh8RkQeSx735z1OYz17TZyyIpK3OHlRkyYejR7iFESuInn3tF7JF0q+5x5brwU/biJhAwnrSLPe+bzZaPVxirtKF62rDmHitE1kVFl8dwHXisg1IlIC3grc3nXM7cA7kmy+VwJLqnqy37mqep+qXq6qR1X1KE7gXrpdcYIJFigROQL8H8D1qvotgI/7hd0K3Kmq1wJ3Jq+NMWIvitMoEjJURyROPQy4kTpx8gXO1sJ1a07ZFPJ1Btx+HieNXRp52mTQqkPsHALi+0Ntg1DVEHg38CngIeDjqvqAiPy4iPx4ctgdwHHgGPAfgX816Nyd+HFTJn2KrwBURaQJzODCzfcDr0ne/wjwWeBn8hicsTvkIU7j5HHKilM/A24YKytBzGozouh5+B6tdHL3mLz2hKLgpvHCRv9MvWKVuLLgPE7plF5WnMyAO1I2mSQxEFW9AydC2X0fzjxX4F3DntvjmKPbH6VjYgVKVZ8WkV/B5dzXgE+r6qdF5IokHEVVT4rI5b3OF5FbgFsAiguX7dawp57tfCl1Ryd51tUbF3FqjSWOCKS3OAWRUg+dOPne+l5OaUXyQmLITatD9E8jr7iECK9g4rRbiOBtnEK+55hYgUrWlm7CLc5dBP5URN4+7PlJ2uVtADOHr82nONuUsV0x6Z5Gm+air+k9RdWVLuphwAWXEHG2FiZZe16rC26vqb20dFFLkJqNzmSIZo149kBnMkS2OkQcmsdpB/G86fu9TaxAAa8DHlfVMwAi8gng24FTInI4iZ4OA6fzHKTh2IyYDDouTwPuOE3rdRhw1aOXOAWRcqEeDS9OqQG3WU/KGHWJ08w+18ep24A7pDiZMG0dEUFMoCaKJ4FXJjn4NeC1wN3AKnAz8MHk8ZO5jdAAhhenfl/4oxaGrdJdnWEc0sh7ZeqlnFkLiVUp+cmaUzKFV+qVRh5m0shDl52XZu2hMfH85WihbAbcHBmlAXZSmFiBUtUviMifAV8GQuAruCm7OeDjIvJOnIj9QH6jNDaqR7fRl3O/c/Oe1stbnGLp7XECN6337KoTpzQhotjq6dTf4yTNekdlcomaAMRJpp4ZcPPFpvgmDFX9OeDnunY3cNGUkTNbFafs/nGInNIxjYs49TPggqsWcWqtLU7Zab2C306M6GXA7a5GTtLHySKnMUCwKT7DGDVbiZx6CVve1SHGRZxCPMKMOGWFyRd4cilIUsjb03rd1SFKfh+PU1hvZerhFVwfpx4ep5S4PL/h2I3R4NptTN/v0wTK2BH6JTJs9MU8TuI0yoSMURlwwx5p5C1xuhQk03leq0V7VpxS31O3OLX9TkkauV9yaeRd4uR+D0ldv9LshmM3RogIvj+xdRW2jAmUMXL6rRVNojjllanXLU69DLixQqSuIvnjF4NWBYhsF9xSus9PDbiZNPK0rl5Yb2XqaXmu7XHqVR3CPE65YRGUYWyTQenhG2HiROt+WXHqZcCNFVRdRfJ+4lTIiFMhMeB2iFPY6Egj1+oCcWmuc70pFac4RP2SiVNOiFiShGFsi61m6mXPzas6xDh5nNL7ShxRp0AUZZJGcOIUxooIPNUlTq2IKfE3lfyMATdsdFYjb9YzyRAH2h6nXuJkHqfcGZCLsmcxgTJGwijEadB1dpJxEycAiSMa6hHFvcUJ4KmlgHLBawlR1nybClW7OkSmVUZYz6w9NYnnDnWmkW+yOoSJ0+5gPijD2AK9RGVLWWqZCGq36CVOu50M0To3I471WIi1tzjVwpgLtYhK0VtXGcIJlcviaxlwE0HqlanXMuD2qQ5haeTjgYjYFJ9hbJZRiVN2324yjuLUqzpEnLTLqIUxS/WIUqHTcNs9tdfyOA0Qp2hmP/hFE6cJwZIkDGMTjDJySvftFmMbOUXaV5wiVZbqkcvI64qc2lN7Xmd1iB5p5HgF4uqiidOEYQJlGEMyyeKUvd+4GHBj8Qmi3gbcMFbO10OCUFuRU8nvNbXnOuCSXWfqlUZeWUD94jqPEzifkxlwxw8RzAdlGMMw6eKUZdzFKYiU5SDqEKdCz6m9jDh1eZyk2YCwMVCcUp+TGXDHFatmbhgb0i1OW2kRMQ4ep+7nm2WUHqeojzipKudqIc3IiVPJXx8xpQLlpR6nJHW8lUaeZuqlrTL6GHARj9jas48v5oMyjI3Zzpf6uIjTqNLIs9cd6rxe4tSndFEYK2fWBotTGkl5UbNtwO32OEXN9U0GrTrERGJp5obRg+1M6fW6Tvp8NxkHj1N2Wq+fARfAE3hm2bW6SMWp1DWl1zLgNuvtVhndmXrgPE7Fan8DbqGM+v1biZswjQeuWGzeo9h9TKCMDen+EjZxal93qPN61NXrZcB191COXwzwRKgU2u0y1pUuanXA7W6VkYiTeK6m3iBxMgPu5GBTfIbRyagjp7zTyNOxbIXtpJFnx1RTv6cBV1XxPeF4Urqo6HlJtORSxzuqQxAjzUbHVF5Hpl6xamnkexBLkjCMhFGJU3retIpT9p79PE5RUvT1sfP1pFWGi5zSoq/rxKlrnalDnEqzxJV5E6c9hoi12zAMwCKnLCMx4GqclC7KvEdnRfLjFxoUPa81rZddc+oQp3CDyCkrTtYBd09hEZQx9YxCnKa5rl6v+zciWZepF8VKlDQafOx8nUrBa03rZRMh0uoQHQbc7PRe2ECbDeK5A2hxxgy4exQR8E2gjGlnVOKUPt9N8hYn6MzUU8/vqKuXFacYJ07HLzY6xKmQ1NIrenSIU6tcUZc4ETVhdl9fcTID7t7BBMqYerZiwM2em3em3lhETnFEiEfYJU7plF4zdutOzywHVApekgQh66Knkp94nMKGM+CGjd5p5IXylg24JkyTgSAmUMZ0M6nilL3nKKpDwNbFyYuaNKVA2KcDbjN2JtyTK0OIU7Y6RC9xqi4OFCcVb6AB18RpgrApPmOamVRxGkuPUw8DbipOy0HExXrITNHvEKOsSBUzHXAlI06ETWisQqnaFqc+yRBmwN1bCCZQxpRi4pRcbyR19XqLUxApl4KYS41OcSp6fcQps87UWfDVpZH3FCevYOK0R/EEygVLMzemjFGIUx5feOOQRp5dc6qpT9yjOkQaOZ1Nir7OFP2WGJWS6hCltHQRcbsDbipOmUw9qgvElQXw/L7t2S2NfI8itgZlTBmTJk7j5HFK7ytxREO9VnWI7mrkzRgu1iPqYdwhToVucRLWZeh1iNPsPuI0U8/zek/rFasmTnsUN8VnEZQxJUyaOHXfd1zEyRlwe4tTECkXGhGrQdQSp7QCealf5JR0wF0XOZXmwPM7xSlTV88ip72PRVDGnmc7wpQyDpFTHh4n6Fxzy1aH6BanGDi1GhLr+mm91vOkPbvXrDmPU1BLIqgkKSKO0AEG3A6Pk4nTnsaMusaeZxTilL3ObjCu4tTLgJud1ntmOSDaQJzS6hBkyhZJ2ESCVXe92QNoodK/OkQcWnWIKcF8UMaeZlIz9dL7jYU4pQbcHk0Gs+0znrrUwBdhtuS3MvXKvtcqXVQueM6A26xBGLQiKC+oQdiAQrmdqdfP47RBk0ETpr2HP4X/piZQU8CkihOsj6C2yiiqQ8TiE4Rx+33oKAAbA8cvuIrklWJiwPWkoyJ5MW3P3uVxkmYDDWpIsY84pb+PODRxmkJEoGRp5sZeY1LFaVSli0bpcWr2EKd0vcnDiVPZ9zu64Jb8dgHYskcyjdcnjbwyT1yeNY+TsQ4RV6Nx2jCB2sNMujiNKlMve92hzuslTn0MuGlF8mNJ5NRPnEq+JGI0QJz6tcowcZp6pnUNavpixilhuwkRe0WcRLY3rVenLU4KHU0GmzE0Y+VYEjnNFH0qvue2gkelIFQKLnLygjWkueYy9Zo199hYQZsNdO7AhuIUl2ZNnKYc35Ohto0QkTeIyCMickxEbu3xvojIbyTv3ysiL93oXBH59yLycHL8X4jIvlH8zCZQe5BsP6atnNvr+W6Qd+mi7Bi8qElDvVbyQ3emXhS78jMnLjUo+35S+FXWbe26evVW+rgEtVamXtoqYyNxsjTy6SZNM9+uQImID/w2cCNwHfA2Ebmu67AbgWuT7Rbgd4Y49zPAt6jqtwGPAu8fxc9tArXHyH7Bb4W9FDml1x3qvEy2YKvoaw9xipJpPYBj57vWnHqJU7PmIqdmI/NYc9eb2dcy4Pad1rPqEAbtYrEjiKBeDhxT1eOqGgAfA27qOuYm4A/V8Xlgn4gcHnSuqn5aVcPk/M8DV47i555ogRKRfSLyZ0lo+ZCIvEpEDojIZ0TkseRxf97j3C22K07pNXbrSy8da3em3qiqQ2zld5HW1esnTkGk1MOYry/V3ZRewU3plQviNt9tJQ3xglUkSKf11lwaeX0Z/KLzOJVmUb+IFkqd1SGy03pe72Xi3fx3MsaAzUVQh0Tk7sx2S+ZKR4CnMq9PJPsY4phhzgX4UeBvtvaDdjLpSRK/Dvw3Vf1+ESkBM8DPAneq6geTOdJbgZ/Jc5C7wajEabcYlQFX1QnSdj1OKf2qQ0SqhJETqJPLQUucOqKmjtJFnU0GvaDWTiOvLqJ+yYmPlzHfDlm6yIRp+hBkM2nmZ1X1+r6XWk/3H0y/YzY8V0Q+AITARzca5DBMrECJyALwXcAPAyQhZyAiNwGvSQ77CPBZ9rBATXt1iFGIU9qefS1cn6kH7chpuRGz1GgyX/bXZehV0uoQUZfHKVhzmXqNNZjZ59LI/eJ6j1NGjAZVhzBxmk5GWOroBHBV5vWVwDNDHlMadK6I3Ay8CXit6ja/kBImeYrv+cAZ4A9E5Csi8rsiMgtcoaonAZLHy3udLCK3pCFwuLa0e6MeIdMuTjCa0kWx+DT6eJxScWqEylKjmZQu8jqEqSVOcbMtTs1apzhVF9ANxEnFc2tOA8ZrTCcjXIO6C7hWRK5JZp3eCtzedcztwDuSbL5XAkvJd2nfc0XkDbhA4M2qujaqn3tiIyjc2F8K/ISqfkFEfh03nTcUqnobcBvAzOFrR6L2u8mkepxGVboo+2NvNY08bc8eRE6cehV8DSLl1EqTZhx3Tusl03nl5LWXepyCWkfGnoZNmN1PXJ4zj5OxdUYUQalqKCLvBj4F+MDvq+oDIvLjyfsfBu4A3ggcA9aAHxl0bnLp3wLKwGfEfVY/r6o/vt3xTrJAnQBOqOoXktd/hhOoUyJyWFVPJpknp3Mb4Q4xqeKUJW9xkjjqMOD2E6eL9aglTq3IyWsLU4c4tR4bSLCKxnGrj5OJk7EdBBlZLT5VvQMnQtl9H848V+Bdw56b7H/BSAbXxcRO8anqs8BTIvJNya7XAg/iQs6bk303A5/MYXg7xnY9TnmmkaePoypdtJ3IqaHeQHGKYudxWglC5kqFlvG27HuU0+dZA25jFQlW8RqrLlPP850BtzQgcooCtFg1cTKGwhMZattLTHIEBfATwEeT+dDjuFDUAz4uIu8EngR+IMfxjRTzOCXX22ZdvX4ep6w4PXWpAdDRLiOtSF4pZDxOyTqTl3icNKghnucy9QqV/h6nKHDJEOZxMoZAcCW1po2JFihV/SrQK53ytbs9lp1mFGnk6XV2k0kTpzBSnuwQp841pw5xCntUIy8Uk2rkg8VJrTqEsRkEvCmsxTfRAjUtTJrHKWUc2rNn15xq6vdtz57m8D1+sUHRF2aKPuWCE6Y0MaLsC0UNkzWmtXVp5FKZc+Lkl1yTwa727IDzOFUW+/+sJkxGDwQoehO7IrNlTKDGnFFFTrvNOIhTel+Jo4Ht2SN1z49fqON7mWm9rorkqQFXgrWkhJFLJ9egDtWFdquMrAE32549NeAOGKth9MKm+IyxY9Iip3GrDpGe0y1OWQNuetlj52uUC14rcqr47aipUkg8TumaU1qNvFlzmXoz+zb0OIEZcI1tIGJTfMb4YOKUXHeb4tQIYxcpJe91J0N4Ao+e6y9OJV/a1SFakZMr+Jp6nLQ0s6E4mQHX2A4Cey5DbxhMoMaUaRQncIIUxYonsq3SRSEewYA08jByU3tPXEyKvha9tjAVXHWIcsFz7dmD1VY18rSmHp4H8wfN42TsGjbFZ+TKJGbqZcVoFJHTKMQpFp8g7F8dIowUEeGJCy5yqhTbwpSWLyoXvIwBNyNO9RWXqTezz2Xq9RAnkvUmlyxh4mRsH4ugjFyZRHHKMgqPlWq7nMu22rP3EadIXQfctWbMqRVXkbyVrZcRprJH0iYj8Tg1Vjoz9cqzQ6WRD2qVYRibYnTFYicKE6gxYFLFqTtaytvjNKh0USpOYawd4pQt+toSpyQZwku9Tkmm3ijEyTC2gkszN4EycmASxSm957gYcIcRJw+35jRfKnRM6/UVpyQpQoM6Up6xyMnIDWHvlTEaBhOoHJn0yCkvj1N30dc6BaIB4hREykoQc3YtYL5UYLbkd0RNlYJQJMYLutLIg1WXqTezj7hU7e9xSjvgDihdZOJkbAub4jN2ExOn5HrbECcvag6sDpGKUxApZ9c6p/XWiVOzhiRrTdJYbaeRz+xDS9X1HXC7EiKsA66xk7gkibxHsfuYQOXENKaRj8LjlK2K7sSpU5igbcCthzFn10LWmhFzpQLVYrsieaUgVFMDbrCaGG/bmXrq+TB/EC1UNm4yaNUhjF1gVO02JgkTqF1m0gy46f3GQZyyY6lH2lecohiCKGY5iFlrRswUfarpmpOfilRiwG1VhehMI9fqQqc4ZeugmQHX2GUszdzYEboFaZLEaZwip3S9CfFZCwe3yghj5cklV5F8sVKg5HtUC65kUdkXqsXE49RcQ4KaSyNv1tD6KlKZbVcj94uoeOsjJ43NgGvsLgL+9NWKNYHaSUZd6HWSxWnbBlxV1POpNfsbcFNxenrZidNcyYlTJSNOlUJbnLzGajtTr76KVOfbmXp9DLhobAZcY9cRxKqZG6Mlm0gwiZFTet/tiBNsX5y8qElTCgOrQ0Sxe/61CzWKnsdixXXBrRa8ztJFwVorYurI1Jvd78TJL1kauTF22BRfDojITw1x2Kqq/j87PpgdZFLFqdfrTV1rRKWLBnmcsuL06HknTvNlvxUxpeJU8cX5mzLiRH0ZDQNX8NXEyRhnpnSKL+8f+f8E5oD5Adu/zm1022BUX1iTKE6qbhtV0deNxCmMnTj5Ih3iVCl4rcipo1VGYxXqyxBHJk7GRJBGUMNse4m8p/j+SFX/7aADRKR/Du8YM4kep5RR1NUDZywUzaTabUC/9uzZ07ubDKoqj52vMVP0Wtl6lSQpolzwKEvsoqYkcvIaq2h9BTx/fauMXgbcKDADrjEWTONHLVeBUtWfHsUx44QZcCFWbYvTsOdtUZwePlej7HvMlQqtXk7VgsvUc9UhkkSIYLWVRo7nQ3VhY3Gy6hDGGOExfZ+3vKf4ABCRnxSRBXH8noh8WURen/e4NsteECcV2fT90x85fdysOHWMIY6oqd8hTnEiSFEiTlFS9PXhcy5yWqwUqCYJES6S8ijFAV5jGakv4zWW8erL6NoSUqqgcweIy3N9xQnxEI1NnIyxQUjsGUNse4mxECjgR1X1EvB64DLgR4AP5jukzTOKZIi8xWmzbNfj1JEtGEet9uz9qkNEyY7HzndGTuWkMkS1IBQ1bK01uem91fUeJ89fL04ZkYqtOoQxTiRJEsNse4m816BS0r/4NwJ/oKr3iEzOt8CkppGPg8cpO6a1KBGrZF+vZAhw4jRX8pkt+VSTRIhq0UVQfph4nOrLHZl6MrPYTiMfZMD1S2ih3P9nnpyPpbGHEGQqp/jGRaC+JCKfBq4B3i8i80Cc85iGwsRpBAZckQ0NuJEqsSqPnqsxX3bi5NabMnX1wjrSWElaZThxopc4DTLgmjgZY8o0fvzGRaDeCbwYOK6qayJyEDfNN/aYOG2/PXu9GfdMhkjFqRHFNGPlqaUGi5UC86UC1aKrqzdbdNl6fmOlnQyRZuoBzB10rTL6pJEjHsShpZEbY49VM88JVY1F5CjwdhFR4B9U9S/yHdXOM+3iFOIRhIPFKYhigkj5+sU6ixXXyyldbypnDLjr0siho1WGeZyMSWcaP4ljIVAi8h+AFwB/kuz6MRF5naq+K8dh7SjTLk6x+EOJkwJfv1hvTeul2Xqpz8nLRk5BDV1bcmnkG4gT4pk4GRODlTrKl+8GvkXVfduJyEeA+/Id0mgZhcdoK+xEXb20s+dW6+oFUqCZEac0Uy/1OEWxEsTKhVrEhXqTA9ViYsKVVip5WWK8+iWXqRd0ZuppUvB1UBo55nEyJoxp/EiOi0A9AlwNfD15fRVwb37DGS3jIE7buX+qQ1sx4LaukRWnSDcUp1pTuVBvMlfyO8SpWhAnTsGqE6f6JaRZI169hFcdUpzM42RMGCLWsDBPDgIPicgXk9cvA/4/EbkdQFXfnNvIRkAe4rQT9x9JdYge4pT1ONUj5elLDZqxslh2a06zRVeRfLboUdIwMd+utmrqxY0a3vwBlwzRz+MEbY9TeX7gmA1jHLEkifz4N3kPYKeZ5NJFsDUDblacXHt27ZlGnhWns2vNDnGqFqRVuqikYStLT+rL0FiFMMCb2zecOKWR04AxG8a4Mo0fz7EQKFX9H3mPYSeZtuoQ3WOoqU+UOb1bnJpJ6aKvna9R9IX9lSKzJbfWVC14zBYzHqdgtVW2CM93aeTFclucUgMutAVKY9Qr9PU4mTAZ444wPmV/dpNcf2YR+atRHDPOTKM4tcYSR6yF2lecorgtTk9crFP0hflSgdmS15Gt1xKnTE29dsHXTKaeiZOxhxGRoba9RN4R1Hek60x9EOC63RrMKJnqNHJVYoR6JAPTyCNVolh55Owa5YLHgWqRatFjtuBRTYq+esGaS4RIIqd2MsQcWqyYAdeYDsTWoPLgpiGOCXZ8FCNmqsUpjlBv4+oQqTg9eq5GueCxWC626uml4uQnfZy8xjLSWCVevYSUq8OLU7Fq4mTsGabxE5t3P6g9t/Y01eKkOlTpokiVIFIeO7fWEqe58vrISerLzuNUu0RcW7XIyZhanFE371HsPhO/7iYivoh8JV2rEpEDIvIZEXksedy/W2PZCwbcrYqTFzUJFepdBtxsk8Fs5PTYuTVmij4HqkUWyj5zRZ+5ksdsQfBrF/HWLuDVlmBJcO/LAAAgAElEQVT1ohOn2QU0bTJYKDufUx9xisvzJk7GnkJwNo9htg2vJfIGEXlERI6JyK093hcR+Y3k/XtF5KUbnbtT37sTL1DATwIPZV7fCtypqtcCdyavd5y8Iqfs682SRk6xJpGT6pan9QIpEPQx4MZkGg7GysPJmtNipcBs0U+y9YSKp61ECK++DGsX0UYNb26fVYcwph4Zcht4DREf+G3gRtz6/ttEpHud/0bg2mS7BfidIc7dke/dsRAoEXmTSJ9vlcHnXQn8z8DvZnbfBHwkef4R4C3bH+Fgdlucul+PInLy2HymXho5NdTrK06RQhi5TL0oVh444yKnQzMlFzmVPBbKHrNe5KKmNHJaOQdx5Ay4lXniYv/27C0DbmXRxMnYowieDLdtwMuBY6p6XFUD4GOszwW4CfhDdXwe2Ccihzc4d0e+d8dCoIC3Ao+JyC+LyAs3cd6vAT9NZ++oK1T1JEDyeHmvE0XkFhG5W0TuDteWtjruXCKn7RpwR1m6qE6h1UjQXdM9ZtuzR+ru9cCZNeZLPouVQsvjlLZnl0a7NXu8fN5dZHZ/Z6uMQQbcPh1w8+hSbBgjR9hMy/dD6Xdbst2SudIR4KnM6xPJPoY4ZtC5Q33vbpa8s/gAUNW3i8gC8DbgD5KWG38A/ImqLvc6R0TeBJxW1S+JyGu2cM/bgNsAZg5fuyWjT56li0Zx7+2ULpI4Sgy4neLUXR0iSBTrwTNrLJYL7KsWmE0SIeaKHsWogVe76NLI19x6k5SrUJl3Hiev0O6A292e3TxOxpSwyen3s6p6fb9L9djXfeF+xwxz7kgZlwgKVb0E/DkubDwM/C/Al0XkJ/qc8mrgzSLyRHLO94jIHwOnknCU5PH0jox3wgy4KaMoXSRxRD2WgdUholhpxkqsbXFya05d4lS/5CKntYvEq8tOnKoLaLHc2Z69O3IycTKmDY2H2wZzAleMO+VK4Jkhjxl07o58746FQInI94rIXwB/BxSBl6vqjcCLgPf1OkdV36+qV6rqUdwU4d+p6tuB24Gbk8NuBj650+PfaUaRRg5ONGDrpYvSx7WoLU7ZTL1sdYh6pNRCl613oFrgQLXIfMljvuSzUPIpNVfxVs/hrZ6H5XMuU29+H8zuSzL1Ku008my2Xho5Fatosdr75zVxMvYgovFQ2wbcBVwrIteISAn33dldLOF24B1JNt8rgaVk2m7QuTvyvTsWU3zADwAfUtW/z+5M2r//6Cav9UHg4yLyTuDJ5NoTyzh5nFSEWpfHyd2j0+MUxs7ndPxCjQPVAvPlAjNFV418tujhNxOPU5qp1wxcGnl5FvVLyVpTxuMEbXEyA64xlSjE0favohqKyLuBTwE+8Puq+oCI/Hjy/oeBO4A3AseANeBHBp2bXHpHvnfHQqBU9R0D3rtziPM/C3w2eX4OeO2oxpYn4yBO6TiAdeLUy4DrsvXg+IWam9YrF5kpCnNJ24xCsOLEqbbUFqe5pPttoTKcOPml3j+viZOxV1EdZvpuyEvpHTgRyu77cOa5Aj27mfc6N9m/I9+7YyFQSRj5m8ALgRJOnVdVdSHXgeXA2FWHiCNCBqeRx0orarpYDzm1GnBopshCueDMt0VnwPXqF/FqS61MPfH9Vh8n/BLqF0G8gQZcSyM3ppUhpu/2HGMhUMBv4eYz/xS4HngH8IJcR5QD4yhOsfgEfdqzZw24QeS2U6sBB6oFFsqF1pSeEycnTF5tiXjlIuL7Lo28WG6JkxlwDWMAJlD5oarHRMRX1QiXav6PeY9pN+kWo5GVLlLddCJoh8cpav9R9GrP3oyVRqQ8s9ygEcZcMVtivuwzV/SYK3lUJUJWl1oCFS9fRMoVmNnXztTbyONUWew7TsOYDkY3xTdJjItArSVZIV8VkV8GTgK9nZd7kF5ilLcBN5ACYSaPPF1vAlrTepFCI5nWa4Qx+6vF9eJUS8QpTSOvzkJ5dnhx6tMB18TJmCoUE6gc+SHcutO7gfficu2/L9cR7RJZEdlue/aU7Rhw0/bsUbxenLo9To1IefxCDYDLZ8vMlT0WSq58USlq4K1dxFu7CGsXiRt1vNn59dXIe3mcABUPHVAdwjCmC4XYBCoXVPXrydMa8At5jmU3yQrSdgy4242c1leHaL83SJxOXGrgiXCg6tplpBXJnThdwKtfSgq+1vHm9yXepUymXj9x8grmcTKMLiQO8x7CrpOrQInIfQxYIVHVb9vF4eTCKJIh0mrkW42coG3A7ZcMoeoMuFEiTsfO1yh6whVzJeZKPgslj7mST6FxyWXq1ZZaNfW8hQOWRm4Y20G1/T/RKSLvCOpNOd8/N0ZRumg7mXrd2YJrYf9WGVHsnoexUg+dAdcXODTjxGkuFadgZb04zR9w602FrsiplzhZk0HD6I+tQe0umak9ROR5wLWq+rciUiV/8dwx8k4j766rt1HklPZxqofKU0v1ljil7TLmil47clq70Eojl+p8b3HyrDqEYWwW80HlhIj8S1xjrAPAN+CKEH6YPVIRIkve4tTNIHHqLl30yNlVZoo+h+fLzJV8Fss+80XBqyV9nFoFXytQXejwOHUYcKFDnPp5nEyYDCNlOtPMx6JYLK6sxquBSwCq+hgj6icyToyDOPWrq7eROD16rrPR4ELJ6xAnWTnfTiNPqpGbOBnGCBlNNfOJYiwiKKChqoEkX0oiUmCH+4zsBr2y9PI24KalixphpwF3vcfJiVMzVh44vcJipcjlsyXmSx6LZZ8ZX/FXzrhq5GmmXppGXiiZAdcwRskIa/FNEuMiUP9DRH4WqIrIDcC/Av5rzmMaCTtSumiLBlyJI5pJXb2UXuIUxkqkTpzuP+XE6dCMa5exUPZde/ZVFzmxcg5tNp04lWaHE6c4NHEyjE0ggESWZp4XtwLvBO4DfgxXLfd3cx3RNtnR0kWbvUaP9uw9kyGS9uzNWFGF+0+tsL9a5IrZMvNlFzlV4gbe8jm82hJ68TR4XjuN3C8NZ8A1cTKMTWJp5rmhqrGI/CXwl6p6Ju/xbJesGG2nOsQoSxdlxal9/f7idO+pZfZXi1w2W2K+7LFQ8pw4rV3AX7vg0sg9r90qYwhxQjwz4BrGVrBSR7uPuEWnn8OVOJJkVwT8pqr+2zzHNgryrA4B7Wk9Vx1icOTUjJUwhhg3rXdopsRlsyUWyz6LZc91wF054zxOS+eQcgWZWWy3yuhXHWIDA64Jk2EMxzSmmeedxfceXPbey1T1oKoeAF4BvFpE3pvv0DaPqI7EgJtlK9Uh0sfU45Rtzw69xSlKEiNScTo048RpoexRCpZb7dnjpXNIdXY4cQITJ8MYCTqVWXx5C9Q7gLep6uPpDlU9Drw9eW9iGGVdPVUXOW0ljTxrwK3HGxhwu8Tp3mTNyUVOHotlj3IqTitnXauM7jTyQeKksYmTYYyKKRSovNegiqp6tnunqp4RkWIeA9oOk1JXL/U4Rcm0Xj2KefTsKlculDlQLbKv4ky4/spZ/NoFWDrtqpHP73OZesUyeIUNPU79SheZOBnGJlGFOMp7FLtO3gIVbPG9sSJvA25WnIY14EaZyOnRs6scmilxoFpM1px8/LXz+KvnYPks2qgjswtJGnmxlQxhBlzD2C0UDZt5D2LXyVugXiQil3rsF6Cy24PZCqMWJ4/NG3DdhWJi8ak1hzPgBpGb3nv07CpHFiocTCKn+YLiL53EXz1HvOSCW2/x4PpWGVmPE7TFyQy4hjF6FIugdhtV9fO8/3bZEXHa7DW2WB0iiJSHk2m9g9Uii2WPBT/CWzmHv3KG+FKSRj674MSpUNpYnMyAaxg7gqJoZAJlDMmOlC7a7DUy7dnT6hC9kiHS6hDNWGmEynIQcnK5wdWLFS6fLXKg4lPVAH/pVDsZIkkjT1uzmwHXMHJEsY66xvCMQpxG4XGqUyAcIE5ZA24QKUuNJieXGxxZqHBopsi+sk81ruOvnEEunSZavoA3u4BU5jrFScQMuIaRG5YkYWySvKtDDGPATcVprRlzcrlBI4q5erHK5bNuzanaXMZfOtlKhvDm90N5tt0qw9LIDSN/VFETKGMnGX11iPR66fXXi1MQKfXIidNaM+LqxSoHqj4Hqj7lYBl/+RR68RSETWR2Acqzw3mcwMTJMHYTm+IzdorRR07p9dLr946c6lHMciNkrRlxeL6ciFOBcmMJf+UMev7k5sVJY9cl18TJMHYJi6CMHSKtDLEVA27rGsma12rsD+VxCmKl1oz52vk1ir7HNfurHKgWOFQtUFg9S+HSs51p5IVKa82pw+ME6+rqmcfJMHYZVTAflOF7g79kYxSP4b+IUy3aTnv2bF29QeKkmeoQtWbMqZWAou9xZL7CoWqBA9UCxZXTLlPvwinwfFcdIk0jH2TAhVZ1CBMnw9hlFEszN9z0WD9S39IwdJcu2qwBt6M6hEItEaesMEGnxymNnFYaMY+dX2WuVOCa/VUnTsUYb+lp/EvPEi2dw6vOItV5tFAezoBrHifDyBHL4jNGRK/SRVsWp6R0EQwWp9TntNKIeeLiGnOlAlcvushpfwn8pWfxlk9vXZzK833HahjGDmO1+Ix+qMKws3pZcWqtN22xdFETjyBcL07dBtxIncdpNYh58MwKh2aKbs2p4rMoDfzzJ+Hc00SBSyOXUnWwARc6pvF6RU4mTIaxu6hl8RndxJtQp57itEmypYs2qg4Raac4PXLWidPVi1UOVgssSEDh4tPo+ZNoUMdLM/WSgq89DbjQ8RiXZnuO0TCM3cQiKGMbjLJ00WYMuGGs1EMXOR2eL/O8xQqXzfjMBBfxl551aeSAv3iwVY186DTyQrnnGA3D2GWsWKyxVUbpcapTGEqc0sgpiGLueXaZIwsVrlosO3FqXqJw8Zl2pt7s/ObEyQy4hjFWqFq7DSMh3kwvph0oXZRNJBwUOa0GEQ+eWeHy2ZITp2qBmeAihYvPEJ17BimUXBp5obK5yMnEyTDGDJvimyhE5CrgD4HnADFwm6r+uogcAP4LcBR4AvjnqnphlPdO2wGOsnRRasDtJU4tj1Om6Gut6ab1ju6rcmShzHPnihSXn8U7/5TL1Judb2fqdXuc+oiTGXANY0yZUh/U+m+jySEE/rWqvhB4JfAuEbkOuBW4U1WvBe5MXo+cUYrTWg+PUzZy6iVO959uT+s9Z7ZAcelpvPNPES+dQyozmxMnM+AaxpijrhbfMNseYmIjKFU9CZxMni+LyEPAEeAm4DXJYR8BPgv8zDDX3Mikm03m227pInBVJXqJE7CudFEYt6f27j+9zNF9VY7uq/CciuJfeAJOf504DPDm93W2yhjG41Tdv/7nNWEyjPFiCqf4JjmCaiEiR4GXAF8ArkjEKxWxy/ucc4uI3C0id4drS0Pdx3Wpddt2SxcBrIXatzpEtzgFkROnu59Z4ui+KlcvlrmiKvgXnoTTX0fDYH0fp0Sc6JVGPqA6hImTYYwZSbuNYbbtICIHROQzIvJY8rj+f6/uuDeIyCMickxEbt3ofBG5QUS+JCL3JY/fM8x4Jl6gRGQO+HPgPap6adjzVPU2Vb1eVa/3q71L+PS/J3jopsSp9aWvMaqw2kOcYtZXh0gjpxjlKycv8c2HZvnGg1WeW44onnoEPfk1iCP8xYNQXSAuVTsNuF5hfV295LmJk2FMDhrHQ23bZMMlEhHxgd8GbgSuA96WLK8MOv8s8L2q+q3AzcAfDTOYiRYoESnixOmjqvqJZPcpETmcvH8YOL3xddbvixMTbPo8TYyIlU0Vi4XO0kUhHrUwJtYNDLhJ6aIgcuO46+klrj04w9ULZQ54DQrnniA+e6KdqVestltlpAbcXtN64BIizIBrGBODxkochENt2+Qm3NIIyeNbehzzcuCYqh5X1QD4WHJe3/NV9Suq+kyy/wGgIiLrjZZdTKxAiYgAvwc8pKq/mnnrdpxCkzx+cjv3iTJRkioUPRm6YGwHGtNUaESD08jDZAtiJYxcxuBXTy7zoisWuPZAlcu5ROGZB4hPPYGUKk6cSrNoqdqZRt5HnNQv9ayrZ+JkGOOM7lYENcwSyRHgqczrE8m+Yc//PuArqtrYaDATmyQBvBr4IeA+Eflqsu9ngQ8CHxeRdwJPAj+w3Rt5IqhCYQu/rTRTr6EeYbyxxylSFzml4nTX00u86IoFrlooshicp3D+60RJpp43u9D2OHmF3h4ncI9WHcIwJhcFjYYWn0Micnfm9W2qelv6QkT+FmfP6eYDQ16/1xfGUOsdIvJPgF8CXj/M8RMrUKr6D/QvkvfaUd3HF6ERxsyW/E2fm4pTk43Fya0/rRen6y6b4+rFEovhRfzTx4iWL3aKU7G8sTiBiZNhTDibEKizqnp93+uovq7feyJySkQOq+rJAUskJ4CrMq+vBNLpu77ni8iVwF8A71DVrw3zg0zsFN8oGZTr0IxjyoXN/5pScarHQpCZ1uv2OKWRkytb5MSpGcd89eQyLzuyyDcfrLB/5Sm8r99LvHoJb34f3lx7zcklRBR7V4dIMvVcQ8LyuvGZOBnGZKCqxFE01LZNhlkiuQu4VkSuEZES8NbkvL7ni8g+4K+B96vq54YdjAnUAJqRUvS8Ta85ZcUp0t4ep16li9L/IN3z7DLfesUcRxdLzC0/DSePtaqRS3lmYwNuayAxcWXRRVdd4zMMY7LYpTWoDwI3iMhjwA3Ja0TkuSJyB4CqhsC7gU8BDwEfV9UHBp2fHP8C4P8Ska8mW08LUJaJneLbSSJVmlHMYrmAt8kv8zRjby1y4tTa32XA7a4OEalyfq3J05fqvPKqRa5eKFE6+SDx6SeRQhFv8WBnq4zuZAgYqnSRiZNhTCCqm5ni28Zt9Bw9lkiSDLw3Zl7fAdyxifN/EfjFzY7HBKqLKFbiWCn63tbFKdQNxamZRE9pw0FVePpSnRc9Z4HnzfkUn324LU7z+6BQXidOLQMurCtdZNUhDGPvoKrEzW2nkE8cJlAJcey8R1EiTkVva1/mq2H/ZIisxyk14AZRzOMXajRj5VVXLfLcUpPCk/cQXTiNNzOPV51d3ypjkMdJPBMnw9iDxLsQQY0bJlAZfM/V1tts5AQQI9Sa8abEKW022IyVlzxnniOFGv4zj7TFqVca+SBxgnUGXBMmw9gDbC7NfM9gApUhipVSn4y9bECl2v7iT9uzN6LhxCk14C4HIUv1kLVmxHdevcih4AzytQeIwyb+4sGOZIih0sj9Us9MPcMw9gC7tAY1bphAZagWndfJH+J7XVRB40ScNvY4pVl6YQT1MGapHnKh3uTbr1rkUP1Z5OmH0bDp+jiZOBmGkUFhFBl6E4cJVIKfRE7+EGtPIgwlTrGmiRFOnILITen5HlyoN3nFkQUON8/AUw+gcexaZZg4GYbRjUVQ04vIcMLUOlZYV7ooFSb3fH3poiBS6s2Yxy/W8AVueP5+FpceJ37qYbxSBZnfj5SqqF/c2OOUli4qzZrHyTCmBBOoKWcjkfJwNfnWQmWhrOsMuO5577p69WZMM44pesKrrlpg3/nHiJ455sRpdsGJU7GctMcotdLGTZwMw1BVIkszNzaiGStrzYhY3a8u22QwTYbQTHWIIFKW6iGPnF3hyEKFN7xgP+Unv0R47lm8yize7HxSimi9x6mnOPXwOJkwGcYeR0G3X8Zo4jCBSgjD3uGzn0nqa8bKatD+kHSLk3aJUzN24rTUCDmyUOE7rl6gdPzzhBdO483tcx6ntI9TZr1poDh1NRk0cTKMaUAtSWLaCaK4Nc3X7YXqJU7daeRZcaqHMedrTb568hL/9LmLvOpgjPfQ37XTyCuzbY9TLwMurJvWs8jJMKYU80EZAEEYU/DTjD5XmqjoCUuNJtAWrqw4aeJxSquSh7Fyvtbk6UsNXnZkH684qMjD/4iCSyPfrDixvj27iZNhTBOWxWfgEhwaYYxfFaIY/CKcXQvwRPA91/4d+leHqDVjzq4F3H3iIt/7wiu4Tp8hvv8+pDKLVGeRylwrU29gGjm4qT6vgBarHWM0cTKM6ULVSh0ZGephzKGZImfXmnjSOeUXxf3r6p1dC3js/Cpvvu4KXqjPEj9xH5Jm6hXLmxMn8zgZhgHYGpTRQdETHr9QY77c/hWl/4FpxnFPcVqqhzx2fpWXHl7guvBJoicfwksjp4zHaejIycTJMAywNSjD4XuCL/DsSoNywaMYxsyX/NbUnusV1c7Si2KoNWNOrzb48tNLvP3Fz+XKM19JCr4u4M3Ou1YZ3R6nfuIELrMv43EyYTKM6UZViQJLM596fE84X29S8T3KBY9YXUZeMSnQ14zawpS2Z79Qb3LXUxf55992mCtPfoFo6VxHGjnDeJwSug24Jk6GYaCg2ZpqU4IJVBfPXqyzOFOkMltq9YhqSvuDkRp1g8g9nl0L+PuvnePW11xD9d47iD3fidPsghOlzXicLI3cMIw+xJEJ1FSSVipaqTcp+R5zlUKrI26ctH9vRi66akYxjTCmHrqEiEfPrfJT33mU6r13IJ7fkUaO75s4GYaxbdTWoKYXEWjUQs6tBCxWS0AiTLHixYon7nXcdPsu1pucXGnwmYdP88s3XI3c81ftZIjyTJJ918PjBD3r6pk4GYYxEFXUIqjpRGNo1Juw6LLmnOlWWwkRvjgTbiOMWG1GnLnUoBZE/Mp3LKL3fGpDcSKNmmBg5GTCZBhGP2yKb0qJkyKMLWFK154iBWIaScZeLRGnv737BF94+z7Ch4/jze1DypWNDbjQIU7qFdDyfGsMJk6GYfTFpvimF8/3WhkyqTgFoavLF6sQqVILImpBxHI95B/e9yrCL/813sy8i5xSA65fGEqcEK+jOoSJk2EYg3DtNkygphMRiuVChzgFmermUays1ENKBY/v/ZbnUHz6XuKZ+XYfJ6/QGTmJDI6cTJwMw9gkVupoiilXCy57L6nFVwsigjAmipW1IKLgCT/4kiN888qDxJV9eCSeJZGNO+CC218ou+MSTJwMwxgGl8Vna1BTi8bKTMknCCOCyGctcW0HYUwQxbzy+Qf45pUH0fKsE6ZmwyVDJDXzNhQnqw5hGMZWMYGabqLQRUpX7p+h1mxHTwCXz5f54QOnicuLTmhKM2iw6jL1krJFg6pDxJYMYRjGtlCb4ptakp5OQRhTa0ZUiz5fP7dKEMYsna/xe//rAeLSbFucCkl1iGHEKdPHycTJMIwtYaWOphklCmMaQcTFtYCg5FMqeDx8z7M8fOsL0EKFuFiFYgX1i8SFMl6aqdfLgAvrDLgmToZhbBXFfFBTi+L+dxJFMSv1kFoQ8fgjZ3n4fc8jriyifiEpXVREPZdIUUgiJ8DEyTCMnUWV2KqZTykKYTOi2YiIwpizzyxz/3ueh/oFJGwQzR4E8YgRYnVVJfq2ZxePuDTrLmvCZBjGCHAddS2CmlrCZkzQCClXitzz89+Orl1I+jcV8RrLhJV9RKquk252Llg6RcrEyTCMncA66k4pqkoYRASNkP/6869GGmfcmpNfaJlrPY0IYiFWNyW4ruirRU6GYewUqlMZQXkbHzKZiMgbROQRETkmIrdudPzKxWU+/tPfzQFdRctzSbZeJcnY8xGNqfhCpBArndUhilUTJ8Mwdo7EBzXMtpfYkxGUiPjAbwM3ACeAu0TkdlV9sM/xvOV7v5VvnFNUyslOJ0DalTZeKQj1UFvHpJ1yTZgMw9gpFCsWu5d4OXBMVY8DiMjHgJuAngL13Mtm+aV/9vx1YtSLokBTcFN6iQHXxMkwjB3FkiT2FEeApzKvTwCvyB4gIrcAtwBcddVVqOcPffFqUYiKCyMYpmEYxsaoOq/mtLFX16B6hTQd//1Q1dtU9XpVvf7QZZft0rAMwzC2RtpEdaNtL7FXI6gTwFWZ11cCz+Q0FsMwjG2hwBTO8O1ZgboLuFZErgGeBt4K/GC+QzIMw9g6ey06GoY9OcWnqiHwbuBTwEPAx1X1gXxHZRiGsTXSCGqYbTuIyAER+YyIPJY87u9zXE8bz0bni8jVIrIiIu8bZjx7UqAAVPUOVf1GVf0GVf13eY/HMAxjq6ju2hrUrcCdqnotcGfyuoOMjedG4DrgbSJy3ZDnfwj4m2EHs2cFyjAMYy+xGxEUzo7zkeT5R4C39DimZeNR1QBIbTwDzxeRtwDHgaFns0ygDMMwxpwYJYiH24BDInJ3ZrtlE7e6QlVPAiSPl/c4ppeN58ig80VkFvgZ4Bc283Pv1SQJwzCMPcUmoqOzqnp9vzdF5G+B5/R46wNDXn9DG08PfgH4kKquyCYKG5hAGYZhjDnpGtRorqWv6/eeiJwSkcOqelJEDgOnexw2yMbT7/xXAN8vIr8M7ANiEamr6m8NGqtN8RmGYUwAu7QGdTtwc/L8ZuCTPY5p2XhEpISz8dw+6HxV/U5VPaqqR4FfA/7vjcQJTKAMwzDGHpdmvitZfB8EbhCRx3DFtj8IICLPFZE7YEMbT8/zt4pN8RmGYYw5u1VJQlXPAa/tsf8Z4I2Z13cAdwx7ftcxPz/seEygDMMwJoBprCRhAmUYhjHm6GjWlyYOEyjDMIwxR4GmRVCGYRjG+LH3WmkMgwmUYRjGmGPtNgzDMIyxJE0znzZMoAzDMMYdS5IwDMMwxhGLoAzDMIyxxSIowzAMY+yIIW2lMVWITmHY2I2InAG+nvc4gEPA2bwHgY2jGxtHJzaOTgaN43mqetl2byAi/y25zzCcVdU3bPee44AJ1BghIncP6uNi47Bx2DhsHNOEVTM3DMMwxhITKMMwDGMsMYEaL27LewAJNo5ObByd2Dg6GZdx7DlsDcowDMMYSyyCMgzDMMYSEyjDMAxjLDGB2kVE5PdF5LSI3J/Zd0BEPiMijyWP+zPvvV9EjonIIyLyz0Y0hqtE5L+LyEMi8oCI/GRO46iIyBdF5J5kHL+Qxzgy1/ZF5Csi8ld5jUNEnhCR+0TkqyJyd47j2Ccif7DbIYMAAAahSURBVCYiDyefk1fl8Pn4puT3kG6XROQ9Of0+3pt8Ru8XkT9JPru5fE6nDlW1bZc24LuAlwL3Z/b9MnBr8vxW4JeS59cB9wBl4Brga4A/gjEcBl6aPJ8HHk3utdvjEGAueV4EvgC8crfHkRnPTwH/GfirPP5dkms/ARzq2pfHOD4C/G/J8xKwL69/l+QePvAs8LwcPqdHgMeBavL648AP5/n7mKYt9wFM2wYcpVOgHgEOJ88PA48kz98PvD9z3KeAV+3AeD4J3JDnOIAZ4MvAK/IYB3AlcCfwPbQFKo9xPMF6gdrVcQALyRey5DmOrnu/HvhcTr+PI8BTwAFcabi/SsaT69/ttGw2xZc/V6jqSYDk8fJkf/qHkXIi2TcyROQo8BJc9LLr40im1b4KnAY+o6q5jAP4NeCncSXPUvIYhwKfFpEvicgtOY3j+cAZ4A+SKc/fFZHZHMaR5a3AnyTPd3Ucqvo08CvAk8BJYElVP73b45hWTKDGF+mxb2SeABGZA/4ceI+qXspjHKoaqeqLcRHMy0XkW3Z7HCLyJuC0qn5p2FN2YhwJr1bVlwI3Au8Ske/KYRwF3DT076jqS4BV3BTWbo/DXVykBLwZ+NONDt2JcSRrSzfhpuueC8yKyNt3exzTiglU/pwSkcMAyePpZP8J4KrMcVcCz4zihiJSxInTR1X1E3mNI0VVLwKfBd6QwzheDbxZRJ4APgZ8j4j8cQ7jQFWfSR5PA38BvDyHcZwATiTRLMCf4QQrr8/HjcCXVfVU8nq3x/E64HFVPaOqTeATwLfnMI6pxAQqf24Hbk6e34xbE0r3v1VEyiJyDXAt8MXt3kxEBPg94CFV/dUcx3GZiOxLnldxXwQP7/Y4VPX9qnqlqh7FTSX9naq+fbfHISKzIjKfPsetc9y/2+NQ1WeBp0Tkm5JdrwUe3O1xZHgb7em99H67OY4ngVeKyEzyt/Na4KEcxjGd5L0INk0b7g/tJNDE/U/rncBB3AL9Y8njgczxH8BlAT0C3DiiMXwHbsrhXuCryfbGHMbxbcBXknHcD/ybZP+ujqNrTK+hnSSx27+P5+Oyv+4BHgA+kNfvA3gxcHfyb/OXwP6cxjEDnAMWM/vyGMcv4P7zdD/wR7gMvdw+p9O0WakjwzAMYyyxKT7DMAxjLDGBMgzDMMYSEyjDMAxjLDGBMgzDMMYSEyjDMAxjLDGBMgzDMMYSEyhjIhCRKGm78IC4Fh0/JSJe8t71IvIbA849KiI/uHujXXfvWlJzcBTXqya/h0BEDo3imoYxrhTyHoBhDElNXd0+RORyXGuMReDnVPVunLG0H0eBH0zOyYOvpWPfLqpaA16clGYyjD2NRVDGxKGuVt0twLvF8RppNxr87kyTu68k5YM+CHxnsu+9SVTz/4rIl5Pt25NzXyMin5V2s76PJuVtEJGXicg/JtHbF0VkPqnG/u9F5C4RuVdEfmyjsSf3fkhE/mMSDX46KfVEcu8PicjfJ8e8TEQ+Ia4p3i/u1O/TMMYVi6CMiURVjydTfJd3vfU+4F2q+rmkYnsdV437far6JgARmQFuUNW6iFyLK0F1fXL+S4B/givw+Tng1SLyReC/AP9CVe8SkQWghitVtaSqLxORMvA5Efm0qj6+wfCvBd6mqv9SRD4OfB/wx8l7gap+l7hOx58E/ilwHviaiHxIVc9t4ddlGBOJCZQxyfRqbfA54FdF5KPAJ1T1RBIEZSkCvyUiLwYi4Bsz731RVU8AJOtGR4El4KSq3gWgSXsSEXk98G0i8v3JuYs48dlIoB5X1XRN6kvJPVJuTx7vAx7QpOeQiBzHVck2gTKmBhMoYyIRkefjxOU08MJ0v6p+UET+GlcA9/Mi8roep78XOAW8CDfNXc+818g8j3B/I0Lvnj4C/ISqfmqTw+++R7XHe3HXcTH292pMGbYGZUwcInIZ8GHgt7Sr2rGIfIOq3qeqv4RLnPhmYBmYzxy2iIuIYuCHAH+DWz4MPFdEXpbcY15ECrh23v+7uP5aiMg3Jq0yDMMYAfY/MmNSqCZTbkUgxLU9+NUex71HRP4nXGTyIPA3uOgjFJF7gP8E/Afgz0XkB4D/jusa2xdVDUTkXwC/mSQ01HD9q34XNz335SSZ4gzwlm3+nIZhJFi7DcPYQUTkKK7H1KB29lu57hPA9ap6dpTXNYxxwqb4DGNniYDFURt1cZFkPIprGsa4YhGUYRiGMZZYBGUYhmGMJSZQhmEYxlhiAmUYhmGMJSZQhmEYxljy/wPOv0WcUNxj3wAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x576 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=[6, 8])\n",
    "plt.subplot(2, 1, 1)\n",
    "plt.plot(distances.to('nm').magnitude, strain_map[130, :],\n",
    "         label=np.round(delays[130]))\n",
    "plt.plot(distances.to('nm').magnitude, strain_map[350, :],\n",
    "         label=np.round(delays[350]))\n",
    "plt.plot(distances.to('nm').magnitude, strain_map[-1, :],\n",
    "         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('Anharmonic 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('Anharmonic Strain Map')\n",
    "\n",
    "plt.tight_layout()\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"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
