08 Pair Distribution Function Analysis.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# PDF Analysis Tutorial"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Introduction"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This tutorial demonstrates how to acquire a multidimensional pair distribution function (PDF) from both a flat field electron diffraction pattern and a scanning electron diffraction data set."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The data is from an open-source paper by Shanmugam et al. [1] that is used as a reference standard. It is an\n",
    "Amorphous 18nm SiO2 film. The scanning electron diffraction data set is a scan of a polycrystalline gold reference standard with 128x128 real space pixels and 256x256 diffraction space pixels. The implementation also initially followed Shanmugam et al.\n",
    "\n",
    "\n",
    "\n",
    "[1] Shanmugam, J., Borisenko, K. B., Chou, Y. J., & Kirkland, A. I. (2017). eRDF Analyser: An interactive GUI for electron reduced density function analysis. SoftwareX, 6, 185-192."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This functionality has been checked to run in pyxem-0.15.0 (April 2023). Bugs are always possible, do not trust the code blindly, and if you experience any issues please report them here: https://github.com/pyxem/pyxem-demos/issues"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Contents"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "1. <a href='#loa'> Loading & Inspection</a>\n",
    "2. <a href='#rad'> Acquiring a radial profile</a>\n",
    "3. <a href='#ri'> Acquiring a Reduced Intensity</a>\n",
    "4. <a href='#dri'> Damping the Reduced Intensity</a>\n",
    "5. <a href='#pdf'> Acquiring a PDF</a>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Import pyXem and other required libraries"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "WARNING:silx.opencl.common:Unable to import pyOpenCl. Please install it from: https://pypi.org/project/pyopencl\n"
     ]
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "import hyperspy.api as hs\n",
    "import pyxem as pxm\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<a id='loa'></a>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##  1. Loading and Inspection"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Load the diffraction data line profile"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "WARNING:hyperspy.io:`signal_type='electron_diffraction1d'` not understood. See `hs.print_known_signal_types()` for a list of installed signal types or https://github.com/hyperspy/hyperspy-extensions-list for the list of all hyperspy extensions providing signals.\n",
      "/Users/carterfrancis/mambaforge/envs/pyxem-demos/lib/python3.11/site-packages/hyperspy/misc/utils.py:471: VisibleDeprecationWarning: Use of the `binned` attribute in metadata is going to be deprecated in v2.0. Set the `axis.is_binned` attribute instead. \n",
      "  warnings.warn(\n",
      "/Users/carterfrancis/mambaforge/envs/pyxem-demos/lib/python3.11/site-packages/hyperspy/io.py:572: VisibleDeprecationWarning: Loading old file version. The binned attribute has been moved from metadata.Signal to axis.is_binned. Setting this attribute for all signal axes instead.\n",
      "  warnings.warn('Loading old file version. The binned attribute '\n"
     ]
    }
   ],
   "source": [
    "rp = hs.load('./data/08/amorphousSiO2.hspy')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "rp.set_signal_type('electron_diffraction')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For now, the code requires navigation dimensions in the reduced intensity signal, two size 1 ones are created."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "rp = pxm.signals.ElectronDiffraction1D([[rp.data]])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Set the diffraction pattern calibration. Note that pyXem uses a calibration to $s = \\frac{1}{d} = 2\\frac{\\sin{\\theta}}{\\lambda}$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "calibration = 0.00167\n",
    "\n",
    "rp.set_diffraction_calibration(calibration=calibration)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Plot the radial profile "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 640x581.818 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "rp.plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<a id='ri'></a>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##  2. Acquiring a Reduced Intensity"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Acquire a reduced intensity (also called a structure factor) from the radial profile. The structure factor is what will subsequently be transformed into a PDF through a fourier transform.\n",
    "\n",
    "The structure factor $\\phi(s)$ is acquired by fitting a background scattering factor to the data, and then transforming the data by: \n",
    "\n",
    "$$\\phi(s) = \\frac{I(s) - N\\Delta c_{i}f_{i}^{2}}{N\\Delta c_{i}^{2}f_{i}^{2}}$$\n",
    "\n",
    "where s is the scattering vecot, $c_{i}$ and $f_{i}$ the atomic fraction and scattering factor respectively of each element in the sample, and N is a fitted parameter to the intensity."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To acquire the reduced intensity, we first initialise a ReducedIntensityGenerator1D object."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "rigen = pxm.generators.ReducedIntensityGenerator1D(rp)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We then fit an electron scattering factor to the profile. To do this, we need to define a list of elements and their respective atomic fractions."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "elements = ['Si','O']\n",
    "fracs = [0.333,0.667]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Then we will fit a background scattering factor. The scattering factor parametrisation used here is that specified by Lobato and Van Dyck [2]. The plot_fit parameter ensures we check the fitted profile.\n",
    "\n",
    "[2] Lobato, I., & Van Dyck, D. (2014). An accurate parameterization for scattering factors, electron densities and electrostatic potentials for neutral atoms that obey all physical constraints. Acta Crystallographica Section A: Foundations and Advances, 70(6), 636-649."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "1101f47d85d64f388b00b8d895bf61fe",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "  0%|          | 0/1 [00:00<?, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "50755539e5904c069841d42bc8224e7e",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "  0%|          | 0/1 [00:00<?, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 640x581.818 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "rigen.fit_atomic_scattering(elements,fracs,scattering_factor='lobato',plot_fit=True,iterpath='serpentine')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "That's clearly a terrible fit! This is because we're trying to fit the beam stop. To avoid this, we specify to fit to the 'tail end' of the data by specifying a minimum and maximum scattering angle range. This is generally recommended, as electron scattering factors tend to not include inelastic scattering, which means the factors are rarely perfect fits."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "rigen.set_s_cutoff(s_min=1.5,s_max=4)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "748910f73f9f42688ddff616db0dab95",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "  0%|          | 0/1 [00:00<?, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "ed4db52a1bfb4752961667c093c4f96d",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "  0%|          | 0/1 [00:00<?, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x581.818 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "rigen.fit_atomic_scattering(elements,fracs,scattering_factor='lobato',plot_fit=True,iterpath='serpentine')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "That's clearly much much better. Always inspect your fit."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Finally, we calculate the reduced intensity itself."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "ri = rigen.get_reduced_intensity()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x581.818 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ri.plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "If it seems like the reduced intensity is not oscillating around 0 at high s, you should try fitting with a larger s_min. This generally speaking solves the issue."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<a id='dri'></a> "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 4. Damping the Reduced Intensity"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The reduced intensity acquired above does not go to zero at high s as it should because the maximum acquired scattering vector is not very high.\n",
    "\n",
    "This would result in significant oscillation in the PDF due to a discontinuity in the fourier transformed data. To combat this, the reduced intensity is damped. In the X-ray community a common damping functions are the Lorch function and an exponential damping function. Both are supported here.\n",
    "\n",
    "It is worth noting that damping does reduce the resolution in r in the PDF."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "WARNING:hyperspy.io:`signal_type='reduced_intensity'` not understood. See `hs.print_known_signal_types()` for a list of installed signal types or https://github.com/hyperspy/hyperspy-extensions-list for the list of all hyperspy extensions providing signals.\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[########################################] | 100% Completed | 105.80 ms\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x581.818 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ri.damp_exponential(b=0.1)\n",
    "ri.plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "WARNING:hyperspy.io:`signal_type='reduced_intensity'` not understood. See `hs.print_known_signal_types()` for a list of installed signal types or https://github.com/hyperspy/hyperspy-extensions-list for the list of all hyperspy extensions providing signals.\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[########################################] | 100% Completed | 106.11 ms\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/carterfrancis/mambaforge/envs/pyxem-demos/lib/python3.11/site-packages/pyxem/utils/ri_utils.py:118: RuntimeWarning: invalid value encountered in divide\n",
      "  damping_term = np.sin(delta * scattering_axis) / (delta * scattering_axis)\n",
      "/Users/carterfrancis/mambaforge/envs/pyxem-demos/lib/python3.11/site-packages/pyxem/utils/ri_utils.py:118: RuntimeWarning: invalid value encountered in divide\n",
      "  damping_term = np.sin(delta * scattering_axis) / (delta * scattering_axis)\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x581.818 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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3OcWZlpaGc+fOuSR37t6TnlqwYAEuX76MefPmubzmW7du9fmaRFbEFjuiADBy5EgUKVIEw4YNQ0ZGBuLi4lC9enVs27YNt956q9sPpbuydevWWLFihcts1fT0dMyePTvbfSpVqoTt27e7HPvtt99w6dIll2MdOnTAypUrc+1u69SpE/bv349ixYq5jc+fC8Rmbc1RtGvXDsHBwdi/f3+Or1t+REVFoUOHDnj99deRkpKCnTt3eh2jYsCAAThz5gy6du2KCxcuoF+/fnne/4477gAATJ8+3eX4pk2bkJCQgDY67spzXNnCMYtjx44hOTkZZcqUyfGxLVu2BIBs78FZs2b5HI/SRa28roCcSfzFF1/4fE0iK2KLHVEAKFKkCIYMGYLBgwdjxowZeOSRRzB58mR06NAB7dq1w+OPP46yZcvi3LlzSEhIwObNmzHnxizxN954Az/++CPuuOMODBs2DJGRkfj000/dLjny6KOPYujQoRg2bBhatmyJXbt2YcKECYiNjXU576233sKyZcvQokULvPbaa7jllltw4cIFLF++HC+99BJq1qyJF154AT/88ANatGiBF198EXXq1EFGRgYOHz6Mn3/+GQMHDkSTJk388nrdcmP7w3HjxuGxxx5DSEgI4uLiUKlSJbz11lt4/fXX8d9//2WOXzx58iQ2btyIqKgovPnmm17d68knn0RERARuu+02lC5dGidOnMD777+P2NhYNGrUKM8YP/zwQ3To0AFBQUGoU6cOQkNDAcgZ0O3bt8eyZctw++23o27dunnGEhcXh759+2L8+PFwOp3o0KFD5qzY8uXL48UXX/TqueWmb9++uHDhArp06YLatWsjKCgIu3fvxpgxY+B0OvHKK6/k+Nj27dvjtttuw8CBA5GcnIyGDRti/fr1mDZtGgA5ztBbd911F0JDQ9GjRw8MHjwY165dw8SJE3H+/HmfnyORJZk9e4OIPKfMinW3C8DVq1dFhQoVRPXq1UVaWpoQQoht27aJhx56SJQoUUKEhISIUqVKiTvuuENMmjTJ5bG///67aNq0qQgLCxOlSpUSgwYNEp9//nm2maPXr18XgwcPFuXLlxcRERGiZcuWYuvWrdlmxQohxJEjR8QTTzwhSpUqJUJCQkSZMmXEQw89JE6ePJl5zqVLl8Qbb7wh4uLiRGhoqIiNjRW33HKLePHFF11m6bqT06zY5557Ltu57uIbMmSIKFOmjHA6ndlmpC5YsEC0bt1axMTEiLCwMFGxYkXRtWtX8euvv7rcPyoqKtu9lFmaim+++Ua0bt1alCxZUoSGhma+Dtu3b888x92s2OvXr4v/+7//EzfddJNwOBxuZ/FOnTpVABCzZs3K5ZVylZ6eLj788ENRo0YNERISIooXLy4eeeQRceTIEbfPw9dZsT/99JN44oknRK1atURsbKwIDg4WpUuXFg888IBYv369y7nuvpfnzp0TvXv3FoULFxaRkZHirrvuEhs2bBAAxLhx4/KM093OKYsWLRJ169YV4eHhomzZsmLQoEFi2bJl2V57zoolO3MIkWWVSyIisoUuXbpgw4YNOHjwIEJCQswOx+9mzJiBhx9+GL///juaN29udjhElsSuWCIiG7l+/To2b96MjRs3Yv78+Rg9enRAJnUzZ85EYmIibrnlFjidTmzYsAGjRo1CixYtmNQR5YItdkRENnLw4EFUrlwZMTEx6NmzJyZMmICgoCCzw9Ld4sWLMWLECOzbtw+XL19G6dKlcd999+Gdd95BTEyM2eERWRYTOyIiIqIAweVOiIiIiAIEEzsiIiKiAMHEjoiIiChAcFZsHjIyMnDs2DEUKlQo1821iYiIiPxBCIGLFy+iTJkyeS7QzcQuD8eOHUP58uXNDoOIiIgKuCNHjmTb5zkrJnZ5UPbTPHLkCKfYExERkeGSk5NRvnz5zJwkN0zs8qB0v8bExDCxIyIiItN4MiSMkyeIiIiIAgQTOyIiIqIAwcSOiIiIKEAwsSMiIiIKEEzsiIiIiAIEEzsiIiKiAMHEjoiIiChAMLEjIiIiChBM7IiIiIgCBBM7IiIiogDBxI6IiIgoQDCxIyIiIgoQTOyIiIiIAgQTO7K/774DChUCKlQArlwxOxoiIiLTMLEj+3vkEeDSJeDIEaB5c7OjISIiMg0TO7K3vXtdP9+2zZw4iIiILICJHdnbq6+aHQEREZFlMLEje/v99+zHsrbiERERFRBM7MjeTp+WZfHi6rGZM82JhYiIyGRM7MjeMjJkqZ00sXWrKaEQERGZjYkdBYY77wRCQmQ9IcHcWIiIiEzCxI7sa906tX733UDJkrJ+4oQ58RAREZmMiR3Z188/q/WqVYGoKFm/ds2ceIiIiEzGxI7sa/t218+bNZMlEzsiIiqgmNiRfW3eLMuYGFlqZ8YSEREVQEzsyL6cN96+6emyvOce82IhIiKyACZ2ZF+HD8uyZUtZRkaqX0tONj4eIiIikzGxI/tSWuyuX5dljRrq15YsMT4eIiIikzGxI/tSumDvvVeWMTGAw2FePERERCZjYkf2dOqUWtdOmlASuxUrjI2HiIjIApjYkT1dvqzWlRY7QN1i7MoVY+MhIiKyACZ2ZE87dqh1p+ZtXKaMLM+fNzYeIiIiC2BiR/akXZw4NFStp6TIctMmY+MhIiKyAFslduPHj0fJkiURFBQEh8OBIUOG5Hr+2LFj4XA4sn0sXbrUoIjJb5SlTiIiXFvslCVPChc2PCQiIiKzBZsdgDfOnz+P6tWr47HHHsOoUaM8ftzy5ctRunTpzM9r1qzpj/DISFu2yFJZ6kRx881q0kdERFTA2CqxGzZsGIYNGwYAXiV2NWvWRMWKFf0VFpkhOlqWWVvmhJDl/v2GhkNERGQFtuqK9VW1atUQFBSEokWLYvTo0bmem5ycjKNHj2Z+JCYmGhQleeWPP2RZqpTr8bAwWWrH3RERERUQtmqx81ZcXBweffRRtGvXDpcvX8Ynn3yCgQMHIiQkBP3793f7mM6dO2P16tUGR0pei40FTp8GUlNdj7duDSxcaE5MREREJgvoxK5Dhw7o0KFD5ud9+/ZFyZIl8e677+aY2P34449I1uwzevHiRdSqVcvvsZKXTp+WpbJPbFYpKXJNO2eBaJQmIiICEOCJnTt16tTBmjVrcvx6TEwMYmJiMj9P5mby1paW5vr5rbeq9WPHgHLljI2HiIjIRAWuOSMhIQGRypIYZF/K1mGdOrkev+UW42MhIiKyCFu12J04ccJl/FtCQgJmz56NChUqoFmzZmjWrBlOnTqF/TdmRN5///2oWbMm7rjjDly5cgUffPABEhMTMWjQILOeAukhI0Od/RoRkfN5V68aEw8REZFF2CqxmzVrFl588cXMzxcuXIiFCxeiatWq2LdvH06fPo2zZ89mfv369ev46KOP8MEHH8DhcKBQoUIYMWIEhg8fbkb4pBdtV3r16q5fCw9X6wsWAEziiYioALFVYvfCCy/ghRdeyPHr+/btc/mcO0wEKO1M2KyJnXaZk/R0Y+IhIiKyiAI3xo4CwLlzuX9dabVTumuJiIgKCCZ2ZD+//JL715WEjuvZERFRAcPEjuwnJESWOa1Rp3TVKtuOERERFRBM7Mh+jhyRZZEi7r9eo4ZxsRAREVkIEzuyn507ZZnXciYbN/o/FiIiIgthYkf2U6iQLIsVc//1CxdkqV36hIiIqABgYkf2c/CgLCtVcv/1du1kqexOQUREVEAwsSP7uXZNlhcvuv86EzoiIiqgmNiR/SiLEDdrlvt5p075PxYiIiILYWJH9nP5sixLlHD/dWWZE7bcERFRAcPEjuwlLU2t5zR54s47jYmFiIjIYpjYkX21bWt2BERERJbCxI7s5coVz88VAkhJ8V8sREREFsPEjuxlzhy1Xrq0+3MaNlTrf/zh33iIiIgshIkd2Ut6ulqPiXF/TrlyxsRCRERkMUzsyF6UxYmDg00Ng4iIyIqY2JG9bN4sS+3s2NwcOuS/WIiIiCyGiR3ZS0SELJX9YvOyYYP/YiEiIrIYJnZkL1u2yLJo0dzPUxJAdtkSEVEBwsSO7EVZvuTChdzPCw/3eyhERERWw8SO7CUkRJZNm3p2/t9/+y8WIiIii2FiR/Zy5Igso6JyP+/iRVkmJ/s3HiIiIgthYkf24nDI8urV3M+rXVuWSgsfERFRAcDEjuzFeeMt26lT7udFRvo/FiIiIothYkf2oqxfFxbm2fnnz/svFiIiIothYkf2cfSoWi9ZMvdzr12TpTImj4iIqABgYkf2kZSk1vPqiq1YUZbskiUiogKEiR0Fpvh4syMgIiIyHBM7so9ffzU7AiIiIktjYkf2ceaM94+5dEn/OIiIiCyKiR3ZT16LEwNcv46IiAokJnZkHzt3en5u587+i4OIiMiimNiRfRw+LMsrV/I+NzTUv7EQERFZEBM7so/wcFlWqGBuHERERBbFxI7sIyVFloUL531uoUJqfdkyv4RDRERkNUzsyD42b5Zlenre5yoLFAPAiRP+iYeIiMhimNiRfcTGytLTfWKDgvwXCxERkQUxsSP7adLE7AiIiIgsiYkd2ce5c749jjtWEBFRAcHEjuyndGnPzlPG4l2/7r9YiIiILISJHdlP8+aenVe+vH/jICIishgmdmQPaWlmR0BERGR5TOzIHn7+Wa3XqOHdY5kUEhFRAcHEjuxBm5yVK+fZY5QxdqtW6R4OERGRFdkqsRs/fjxKliyJoKAgOBwODBkyJM/HjBs3DpGRkXA4HAgJCUHPnj0NiJR0d/GiLB0Ozx8jhCyLFNE/HiIiIguyVWJ3/vx5VK9eHQMHDvTo/DVr1uCFF15AXFwcFi1ahJ49e2LmzJkYNGiQnyMl3SnbginJmicaN/ZPLERERBZlq8Ru2LBhWLduHUaOHOnR+YMGDUJoaCi2bNmCTp064ZtvvkF8fDwmTZrk50hJd6GhsvSmxY6IiKiAsVVi563du3cjPj7e5dg999yDS5cu4cqVK24fk5ycjKNHj2Z+JCYmGhEq5UVpqSte3PvHHjyoayhERERWFWx2AP509epVlChRwuVYlSpVAAB79uxBvXr1sj2mc+fOWL16tRHhkTeWL5elN12xISGuJRERUYAL6BY7AHBk6brLyMgAADid7p/6jz/+iCNHjmR+7Nq1y+8xkgeUCRDe7CJx553+iYWIiMiiArrFLiIiAidPnnQ5dvBGt1y1atXcPiYmJgYxMTGZnycnJ/stPvJBo0ZmR0BERGRZAd1iV7NmTSQkJLgcW7x4MaKjoxEZGWlSVOQT5fvoTVes4kYrLRERUaCzVWJ34sQJzJ49G7NnzwYAJCQkYPbs2Vi/fj0AoFmzZqhatWrm+aNGjUJKSgoaNmyIxYsXo3fv3ti1axeefvppU+KnfIiIkGVQkPePTU8Hrl3TNx4iIiILcgjhSxOIOcaOHYsXX3wx2/GqVati3759qFatGs6cOYMLFy5kfm3cuHEYMmQIrl69iuDgYDz44IOYMWOGx/dMTk5GbGwskpKSXLpoyWARETI5e+89wIOFqQEAR48C5cvL+p49QPXq/ouPiIjIT7zJRWyV2JmBiZ0FZGSoLXXeJHYpKUBYmKwzsSMiIpvyJhexVVcsFVDaNQfr1jUvDiIiIotjYkf2Uru2b49LS9M3DiIiIgtiYkfWd+mSb4/TrlW4aJE+sRAREVkYEzuyvnnz1Lo3W4oFa5ZpvHpVv3iIiIgsiokdWZ92HTpv1x/keoVERFSAMLEj6/v7b1mGhpobBxERkcUxsSPrO3ZMlikpvl9jzRp9YiEiIrIwJnZkfcpYubJlvX+sslRKfpJCIiIim2BiR9a3c6cslcWGvaEsj+LkW52IiAIf/9qR9SmtbklJ3j/W4dA3FiIiIgtjYkfWp0yauPVWc+MgIiKyOCZ2ZH2JibIsUsT3a2zdqksoREREVsbEjqxP6U71ZQLEuXOyDArSLx4qWB54AChaFFi2zOxIiIjyxMSOrE+Z+NC5s/ePbd/e9RpE3njiCWD+fOD8eeDee82OhogoT/xrR9aXni5L7RZhnvLlMUSKKVPUemqqeXEQEXmIiR1Z27//qvVKlUwLgwog7VZ2uR0jIrIQJnZkbZcvq/XbbvP9OmfP5j8WKljmzct+LCgIiIkB9u41Ph4iIg8wsSNrO3Ikf4+PitInDip4vvnG/fGLF4H4eGNjISLyEBM7srZ16/L3+LZtZcmFislbBw7I0uEAChVy/Vp6OrtliciSmNiRtSmzWcPDzY2DCpYrV9St7AoVAo4eBT78ELj5ZvWcf/4xJzYiolwwsSNr27hRliEh5sZBBUdGhmsXfrVqclzd4MHq+xEAXn/d+NiIiPLAxI6sLTlZlpcu5e86QuT/GlQwZO3+f+YZtR4ZqbYiL15sXExERB5iYkfWpqxDp+0C80ajRmp97dr8x0OBb9w4tR4aCvTq5fr1GjWMjYeIyAtM7MjaduyQZViYb48vWlS/WKhg0K6deP26TO60Ro1S62y1IyKLYWJH1qa02J0/7/s1OCOWvKFMmshp3URlmzoAeO89/8dDROQFJnZkbcp4po4dzY2DCoa0NLV+yy3uzwkOVt+X69f7PyYiIi8wsSNrS0qSpR57vgbSH+Fr14A33wS2bzc7ksCiXRD7pZdyPq9OHbWuTQaJiEzGxI7sIT/LnQghy+PH9YnFbMeOARERwIgRQN26wNy5ZkcUOKpWVetly+Z83owZav2HH/wXDxGRl5jYkT3cc4/vjy1WTJaBMNYuIyN7wvHgg8CFC6aEE3CUfwIiI+VHTrRbio0f79+YiIi8wMSO7CEoyOwIrKF+fffHixQxNo5AdOaMWp8wwfPH/f47txcjIstgYkfW9dtvar148fxf7/Ll/F/DbNoxdUrrkuL9942NJdBoX9tHH837/J491fqiRfrHQ0TkAyZ2ZF3nzqn16tV9v44yuH316vzFYzZti1Lr1rJUJpcAwGuvAVOmGBtTIJk1S617Mlnn22/V+pgx+sdDROQDJnZkXcq4MWc+36ZKN67duytbtlTrShISEwPcfrt6/IknjI0pkGzY4N352vfl1q26hkJE5CsmdmRdP/8sy/yOX8ppPTK72bVLrZcoodbXrgWqVFE/53gv3/z3nyxjYjx/TJkystS2nBIRmYiJHVlXeLgs89tiF2gaNsx+bOlStd6vn3GxBBKl+7VwYc8fwxZSIrIY/sUk6/r7b1lqW6fy49o1fa5jhlOn1Pozz2T/elycWp840f/xBCJlcs3dd3v+mPvvV+ubNukbDxGRD5jYkXVduSLL/HZzpabKct++/F3HTN9/r9Yfftj9OdHR7s8nzyiTbLLONs5NgwZqfdUqXcMhIvIFEzuyLmW3Ce0fT18oS6XktuCs1Wlb4ZQu6qy0W6b16OHfeAKZMuPYW6+9pm8cREQ+YGJH1rV3ryyjovJ3HXdj0uwmIUGWuY03rF0bKFVK1jMygAMH/B9XoPjrL7Wu7db2hPIPCPeMJSILYGJH1hUWJkulK7UgU7oH80pS//hDrVepAsyc6b+YAsns2Wq9Xj3vHjt6tFpnckdEJmNiR9alJDMdO+pzPbsuA6KN293ECa3KlV0/79kTeOst/WMKNNOn+/5Y7ftTWaKHiMgkTOzImtLSgJQUWc9vQqYkiNeu2TO5W7hQrbdrl/f5J0+67pwwfHj+EpeC4PRpWRYq5P1jtcn044/rEg4Rka+Y2JE1abcTa9Uqf9dq3lyt27GrTDv+S1kQNzclSsjua+1epkw4cpeeLsuaNfN3HWW8HRGRSZjYkfVl7V70lnZXBjv65x/fHvfdd+o4xfR0wOGQH04nUK6c3Hv22DHgzz/1i9WOtOsbdu/u2zU6d5blsWP5j4eIKB9sl9h1794dISEhcDgciIyMxIQJE3I8d+zYsXA4HNk+lmpX6SdrUmbEErBxoyxjY71/7JIl2Y8JASQmypbMsmWBpk2BOnXyF6OdaWcPd+ni2zWKFVPrZ87kLx4ionywVWL3/PPPY/bs2ejZsycWLVqEuLg49O/fH+u163e5sXz5cmzbti3z48477zQoYvKZdnZn0aL6XdeOXbHaVjdvtWmT83Ix2uR5x46Cu2PFc8+p9dKlfbvG55+r9RMn8hcPEVE+2Cqx++qrr1CrVi1888036NSpE7Zs2YLQ0FC89NJLuT6uZs2aqFOnTuZHaGioQRFTvoWF5X+v2CJF1Prcufm7lhkOHZKlr2MNk5Pl2mwtWwK9e+d83rPPAnfd5ds97Ey74LOvvxu0k1UWL85fPERE+WCbxO7SpUu4fPkyOnXq5HI8Pj4eCcrirTmoVq0agoKCULRoUYzWrjlF1vXjj7L0ZnunnGhb/JT9QO0oJsa3xzmdwO7dcsurr78Gjh/P+dxff5WLIWsnrwS6bdtkWbWqPtcbNkyf6xAR+SA471OsYc+ePQCAKlkGwpcoUQK7du1y+5i4uDg8+uijaNeuHS5fvoxPPvkEAwcOREhICPr37+/2McnJyUhOTs78/OLFizo9A/KKsv2XXosTh4TYc6HjS5fUesuW+lyzVCnZrfvgg0C1asCHH8rN7BcskF+vVUuWV6/mvH1ZIDl5Upbnz+tzPTu+z4goYNgmsVM4HA6Xz4UQ2Y4pOnTogA4dOmR+3rdvX5QsWRLvvvtujold586dsXr1av0CJt8orUrVq5sbh9kSE9V61676XdfpBH74Qf38q6/UxE7RvDmwebN+97QqZezirbfm7zr9+wPjx+c/HiKifLBNV2yNGjUAAPv373c5fvr0aURERHh8nTp16uB8Lv+Z//jjjzhy5EjmR06tgeRn//0nyytX9L2u3SZPKF3SgO9dsZ4oWlR2e9eurR7bssV/97MKZRFsALj77vxd65571DonUBCRSWyT2EVHRyMqKgpLsizfkJCQgPj4eI+vk5CQgEilm8+NmJgYlCtXLvOjbNmyPsdM+aDsAFCunD7XU3ac0CZKdnD4sFoPNqCBfccO1+Qu0K1dq9YffDB/1/rf/9R6QV8bkIhMY5vEDgD69OmDnTt3onfv3li8eDEaNGiAlJQUfPTRRwCAZs2aoapmAPT999+PIUOG4JdffsHChQvRrFkzJCYm4sknnzTrKZCnlBYPvbpilcQul6TekpRlX4xI6hQ3fp4AAKNGGXdfM4wdq9Y92dUjN9rxiNpt4IiIDGSrMXbjxo3DyZMn8e2332Lq1KmIiIjAJ598gttuuw2A7JY9e/Zs5vnXr1/HRx99hA8++AAOhwOFChXCiBEjMHz4cLOeAnnK4ZBdg3rt7VqxInDwoD7XMpKy64SRkxi0+9EOHgw8/7zvy4BY3bp1/rmuHrO5iYh8YKvEDgBmzZqV49f27dvn8jl3mLAx5Q+jslVTQRURIceB5bc1yVtFi6pLnrz4IvDpp8be3yhXr8ryppv0ud5NNwGnTwM//6zP9YiIvGSrrlgqILT7bSq7Luhl5059r+dvSUmyvNEqbRhNyzfmzDH23kZSlia54w59rqdM9uGesURkEiZ2ZD3avTs7dtTnmkqCZNd1Cc2Y0KDMwj192vh7G0Xp6i9ZUp/rNWkiy4Kw/h8RWZJPiV21atUwnus1kb9olzjRa9JA/fqy1LsF0J+0e7nWq2f8/bWzRAN9WIN2XGF+KFuyXbumz/WIiLzkU2J39epVDBgwAKGhoWjbti3++usvveOigswfe21qtxWzC2UtP8D3fWLzY8IEtZ5lK7+AsHWrWtdrWR3t+0y7awgRkUF8SuwSExOxZ88edOrUCevWrUOjRo1w0003YeDAgbii94KyVPA4OUIAAPDTT2rdjNdE250YiLM8N25U63Xq6HPNhx5S67Nn63NNIiIv+PzXonr16pg3bx6uXLmCGTNmoHTp0hg9ejSio6PRoEED/PLLL3rGSQWJsgRF4cL6X/vIEf2v6S9WaPGZPFmtd+liXhz+4I+Zq9r37Icf6n99IqI85LsZYOvWrZg2bRp2794NAKhcuTIOHTqEtm3b4r777svv5akgUrb9Sk7W75rKfqB2ag1ctkyWZnYj9+2r1ufNMy8Of/j9d1kGBel7XWXNP+0YSSIig/j0V+7KlSsYNGgQSpYsifr162PNmjXo2rUrEhMTsX//fpw9exb9+/fHj3bbvomspUED/a51772ydDj0u6a/FSkiy+vXzY3j1lvVeiANtVC2rdN7N5LBg9X6v//qe20iojz4lNhFR0fj448/RokSJTBr1ixcvnwZM2bMQBnNIqovvvgigvT+T5gKhm3bZGmnJMwflHFtDRuaG4d2e6w33jAvDr0pLWrNm+t73bffVutz5+p7bSKiPPiU2PXt2xfnzp3Djh070K1bN7fnVK5cGanK4p9E3oiOlmVIiLlxmE3ZTszsiQvaXS+mTjUtDF1pt6rz5+urrJ9IRGQQnxK73377ze3s11OnTqFGjRr5DooKOGUR4dtv1//a6en67T/rb0oXoRVavqOiZHn+vLlx6OXUKbU+bJj+11e6ebm1GBEZzKfEbu/evTjv5hf8+fPnsZcDhkkvek500Ha37dql33X9SfnnyYw17LJSxigC6uQWOztxQq3Hx+t//cuXZblnj/7XJiLKhVfL+h89ehQZN1o7Tp48idjY2Myvpaam4uOPP4bTTrMOydo6d9bvWtWr63ctI2iTJyu02L3zDjBjhqz/+afxe9fqTduSpmydpqfKlYH9+4GrV/W/NhFRLrxK7MqXL59Zb9Omjdtz7rzzzvxFRAWbdjcApTurINJ2F1th2aCKFdX6uHH2T+zWrJFlcLB+29Zp9e8PvPCCrJ86BZQoof897GrkSDlxZfJkey0/RGQTXv1GGzt2LIQQePHFFzF48GCXWbARERG49dZb0UDPJSqo4FEmDADmbHxvFdrEzgr722r/AB84YF4celGWkPFXt/JTT6mJ3VdfAUOG+Oc+dpOQALzyiqw3bQr06WNuPEQByKvE7vnnnwcANGrUCM2aNWO3K+lP2RnCn92Pa9daP2lcskStW6XlsmxZIDER+PtvsyPJvy1bZOmvyV7a7dgmT2Zip+jZU61PnMjEjsgPPE7s5s6di/vuuw/BwcE4fvw45uWyCn3Xrl11CY4KoD//lKWyU4Q/HD3qv2vr5cwZtV6qlHlxaCkth0IAhw65ds/azdmzsvTnLF+nU7a8HjokS/4jDOzYodYD4R8EIoM4Fy3y+FyPE7sHH3wQ//zzD26++WY8+OCDuZ4rzF53i+xLaemIiND/2tHR1th/1RP79snSSmv5jR6tjvd76CE1Cbcb7YzYtm39d5/XX1cXK54/P/D22vVF1n/Ydu4Ebr7ZnFiI7GLvXkQ98ojHp3uc2K1btw7xN5YFWKds0k6ktxUrZGnm/qhWoLRsWGmRb+2SJxs3mhdHfml3g/j6a//d56231MRu5kwmdu62oxs6FJg+Xf9t3YgCyX//wZt9mDxO7G7TzIK7ze4z4si6YmJkN6SyDpg/2GH/TqXbTtkv1iri4tTX76efgHbtzI3HF9q15UJDjbnnDz8Ycx8ru+OO7Mfmz5eLX2/ZAtSrZ3hIRIHIp0EfTz75JEaMGJH5eePGjeFwOFCoUCH8/vvvesVGBZGyI4A//nlQWgz279f/2npbu1aWyvZqVvH992rdHzs2GGH3bllq1uH0G80SUZg40f/3s6p27Vy77itXdv16/fpyGMb778sPIvKZT4ndN998g0I3Zup9/vnn2LRpEx5++GFERUXlOf6OKFfKGDh/LOxatqws/TF+T29KS53DmwZ4A9Spo7Ym2rU7Vpl57a5rUG/a1sHx4/1/Pyvp3l2+fxs1cl0QulQp13GOiuvXgddekx/btxsXJ1GA8SmxS01NRfMbWzR99dVXqFKlCqZPn47JkyfjhLsfWCJPKZMFbr1V/2sXK6b/Nf1FmbnbqJG5cbhj59mwAJCUJMtKlfx/r/BwdQFku0zc0cOJE8Ds2bL+11+uX9u7F/jii9wff9dd/omLqADwKbFzOBw4ePAgAGDHjh2Zu1AUKlSIM2Ipf5TJAtouLL1dvOi/a+tFaam7ds3cONz59lu1PnOmeXH46vhxWWrXmvMnZdbnsWPG3M8KRo92f/zLL+Xwgocflj/rykLRWZ06BTz9tP/iIwpgPiV2FSpUQJ8+fRAXF4erV69i0KBBAIAVK1YgzAqr5JM9adeX88ferikpslTGWFmZsvPEPfeYG4c72vGPv/1mXhz5VbOmMfepUkWW/lyb0UpOnHBN/rUefVStBwfLySuTJrmfhDN5suz6JyKv+JTYrV69GtWqVUNycjLefvttVL/xR3jdunX43//+p2uAVIBol/bwx+QJZQkVq+zkkJMLF9S6VccDKrNJ//jD3Di8pd2qrV8/Y+7pj39SrGrTJqB0afdj6JYscT8L+amngOXL5W4wWd/v2gWNicgjPu1+XbFiRWx3M7h19erV+Q6ICrDly9W6P1bpr18fsMMajNqWS6vu4hIZKVtA//vP7Ei8s3ixWlda0vztnnvkxveBKiNDfuzeDTRu7Pq1li3l/s9VqgDt2+d+HSWJK1dObl1HRD7xKbEDgEOHDmHGjBk4fPgw0jVdDE6nE5MmTdIlOCpgzp1T6wV5wVJti51VX4eiRWWcSve2XWiX3ChXzph7aseLzpwJ9OhhzH2NcOWKnJSU01jQChWAVau8u+bdd6uTK4waB0kUQHxK7IYOHYp33nkn83NHliUZmNiRT5TZc/7ufvTn/qB6WLrU7Ajy1r498Nlnrl2bdrBrl/H31M4injYtsBK7bdvcJ3VFigDFiwPvvef9NSdMUBO7a9fkRKLWre09npPIQD71d3344YeoV68eTp8+DSEEMjIyXD6IfKJszO6PNewA+YfGDpR/lKy2hp3WnXeqdTst46HsaGL0jh5BQbJcv97Y+/pTRgbw99/Zjy9fLlvf9+zxrVU0NFTdik2xciWQluZbnEQFjM/r2I0ZMwbF7fKHkuxBGa9Vtap/rt+qlX+uq7clS2Rp1W5YQI6dUjz3nHlxeEtJRJT1Eo1SooQslTX0AkF8PNC/f/bjpUvn/9qDB2c/NmpU/q9LVAD4lNiVLl0aCxcu1DsWKuiU9eWsuHabkaKiZGnl10GZYQzYawcKpcVOeY2Nok2E58839t7+ot1VQ0uPJUpCQ2UrXa1a6rG5c/N/XaICwKcxdm3btsX48eOxZcsWNGrUCKFZprC/++67ugRHBYwyE7ZhQ3PjMNvWrbK85RZTw8hTWJhcYNYO6wIqlMkeWfcq9bfnngNmzZL1Hj2snbR7okYN18+rVAGaNQOGD9fvHq1aATt3qkMSNm/W79pEAcynxO6bb74BIJc3cbfECRM78okyG9SI8U8nTsg9K61I6Sa0+iSPZs3UGY/r18vPrU7ZGadFC2Pve/vtaj2n3RbsYMoU4IknXI+lp/tneSJFr15y0gkgd6OYMEHdpo2IsvHpp1EIkesH6eTECfnfqsPh2pUTqJT/zLXdL3rSrrGlXfbCapQu6Y4dzY0jLzd2nAEAdOliXhye0m7pZcYevAMGqHU7TgT4/ffsSd2LL/o3qQOAGw0JAORuFCEhwMcf+/eeRDaW75/IC9o1t0hfZcqo9TVr7LdmmDdSUtTWFH8lduHh1p5pqlBmllt9hvndd6t1O7RCaRcnvuMO4+//4INqPTbW+Pvnx4QJrq2OgOyKf+stY+6fNXl8+eWCtfcukRd8SuxSUlLQpk0bBAUFoUiRIlh1ozvmf//7Hx5//HEdwyvgsrZ++ivhsQLtjhD16pkWhqVolxSxKqVVUbu4tFXt3KnWzVj4VpsYXbli/P3zY+hQ18/T0+U4wehoY+7v7p+cX34x5t5ENuNTYte+fXusWbMGTz31lMvxW2+9FT/88IMugRV4332X/dj+/cbHYRTtYHIjdgRYtMj/98ivYsXMjiBv2qVprL6e3bx5sjRzfJZ2GQ+rt8iuWAF8+aVs5db2zCQm+r/7lYh85tNP59q1a/Hee+/hs88+czl+11134bKynADlj3Ysi3alemXGZKAxKtFSWkE12+BZyj//qHV/78ChB+0syAkTzIvDE6dOyVJZLNgM2h6Nf/81LYw87d0rW4yffNL1eMWKrkNEjFK2bPZjbLEjcsunxC4tLQ3Nmzd3e5yTJ3SijKdzONQZYYC+ywlYiVFj35SFYq1K2yrbpIl5cXhKu56dspyHVSk/U2bO3o2LU+sjR5oXR160E2O0vv7a2DgUhw8DM2bI1kKFHbbeIzKBT4ldZGQkpk+fnu34mDFjEBMTk++gCjxtF83rr7t2Hf36q/HxGOHnn2WpTRQKImUSgh0meSiUbjkrt0Bpf6a0kz6Mpu3C3LTJvDhyc+wYkHUB+vBw4OBBcyadAPJ169FDthYqO1ucPw+MH29OPEQW5lNi99JLL2HSpEno0KEDAOCjjz5CzZo1sWrVKgwZMkTXAAukFSvUutIlq4xlstuga08pOwEYNU5L+xpbiTJz004t38p708qL7mon53TubF4cAFC4sCxPnDA1jBy56/YcNEh2w1qBtvFAu4QMUaCZOVP+k9++vVcP8ymxe/vtt/HOO+9g/Y0NrZcsWYJjx47hvffew6uvvurLJUnr++/VurJCvnaGpJX/gPpKGVumXWvOH5Q14ozeUspTZo7/8pV2r9ixY00LI1dz5qh1bXeoGZT7nz1rbhzuaJeEAYAOHYAXXgCGDTMlHLdefNHsCIiM4eM/Lj5PbXr99ddx4cKFzEWJk5OT2Vqnl99+y35M+4vV3YxZu1MmCvg7aXUzNtRSlP03rT4WUOv559W6WWOw8mKlBYG1W8WNGGFaGJkmTwbefFPWR41y/dr33wNjxlhrp4ennnL9+dC+/4gCidIQ4SWfEruQkBDs3bs32/FDhw4hRNkOiXynLC2g3YNXOxNtwQIjozGGMpv6Rvd+gaUMDrf60iFZKYn5jh3mxpETZeszK4zhfPRRtT56tHlxAMCZM3KbrhEjgJIl5ULoiltuMW6dOm8dP67WP/kEmD/fvFiI8iMjA/jrL9dxwAkJckFzHxd+93lWbIqbXRAuXryIND//Z9y9e3eEhITA4XAgMjISE/JYYmHcuHGIjIyEw+FASEgIevbs6df4dKEs9lqnjutxpZvup5+MjcdIhQoZcx83/5hYgpIgValibhzeuvVWsyPInTLbODnZ3DgAuU+t8rPs43/kulFa6gB1ORhADonYvt34eDzldAI33aR+/sADMkklsrply9StQitWlL8LGjUC2rSRX790Sf7tnzvX51t41b7++uuvZ9bHjx+PYpoFVNPS0rBs2TK/ttg9//zzmD17Nnr16oUHH3wQQ4cORf/+/dGwYUM0c7OEwZo1a/DCCy+gXr16ePvttzFnzhxMmzYNZcuWxaisXQ5Wof3Dk3Wj8iJF5C8vqy9smh/+nrGo/CG16li21FRZlixpbhzeeuQRYO1aWb9wQZ0gYBXKuoVW2b3l+efV1rqMDPMW/M3pH+Pffzc2Dl8sWeI6JvfECaB4cfPiIf/JyJDDaMqUURcaB+TQneRktWv+++9lr8HQofIx4eFy9vm0aUCfPvJvaNeu8h+9Pn2yDz0wwtNPq/XDh9X6qlXy9772HyxfCS8AyPUjJCREDB061JtLeiUqKkrUqlXL5VhoaKho2rSp2/MbN24sQkNDXY7Fx8eL6Ohoj++ZlJQkHIBISkryPmBfjBghhJwTKUTWe/brp34tkPz6q/q8Dh70773eflveJzzcv/fxlfI6tGpldiTeSUpSY4+NNTsaV+npamxDhpgdjbRvnxpTr17G3//gQSE6dlRj0H7s2mV8PL7Sxr12rdnRkD8cPy5E8eKu3+vHH3f/3s3Ph8Oh1kuWFOK114TYskWIHTuE+OcfIRIThUhNlb9PFBcvyp+X9HQhrl4VYuVKIb74QoiXXhKifXvXc9PThXjssXzFCA9zEa9a7MSNJRhCQkLwzz//IM7A2WWXLl3C5cuX0alTJ5fj8fHxSEhIcPuY3bt3Iz4+3uXYPffcg5EjR+LKlSuIjIzM9pjk5GQka1rNLl68iN2A7B41Yo0+7W4eWe93113qf9j797tu52RnBw6odX8vqaCMW7TqzhPh4fK/UCuMBfOG9r2alGReHO5oh4coe9uaTfuza/QOCi+9JCdEaDmdsoVj+HAgy+9MS0tKAmJjZb1lS7mIcbdu5sZEvktLAyZNki1rv/8O1K3r2sKlmDpV/3trl5g6eRJ47z35kR969Ay1bw8sX+7VQ3ya6pSqdBcZaM+N2YJVsow9KlGiBHbt2uX2MVevXkWJLLMLlcfv2bMH9dxsNt+5c2esXr3a5ZgAcGnZMuCZZ3yM3gvKrFB3XTPabsqZM4E33vB/PEZQFkM1ontU6cZOTZW/RKw020+rUSOzI/De0KHA22/LupVeW+3yQVZKWkqUkN0u2okARsia1AFy8tK5c+ZsF5Yf2n8oMjKA7t1l8m7VSR+Us5QU4P77/bejSOnScv/tJk2AQ4fssdh/WJgck7diBS5v2ZLzjjBZ+DywY9SoUWjevDni4uJQo0YNlw9/cmRZkV8Ike1Ybudn3PjD7sxhTMuPP/6II0eOZH4oSWOQUf9VK62F2nXrFNo/lMosv0CgjMs0ohVNGaAKWHPmqZ3XKOzTR61babsn7dpsVmoJ1SaZRo2bzen7Eh5uv6ROkXXc5LffmhMHeS4lRY6PbNZM1h0OmcTk9nvjiy+ALl1cj4WGyn/S//tP7bDctg3o1AlYvVquj5qaKo8fOybH3335pWwlF0L+zdE+VvuRlCTP37VLXuP4cWD3bvn5P//Ir23bBrz/PlCzptwZpVcvQNtglNPY2aZN5TVXrwbKl3f9Wno6cPo00L+/mny2aYP0vn09f3196fJu1aqVACCioqJEqVKlROnSpV0+/OHixYsCgBg8eLDL8bp164rYHMb0xMTEiLp167ocGzx4sAAgLl++7NF9k26MHUopU8aXsL2X11igiAj59SxjB20tJkY+p/Ll/X+vxET1NT5/3v/384Z2nNq8eWZH4xsl/jvuMDsSVZky1hybunq1GtfFi8bc092fsAEDjLm3v7Rv7/p8IiOFmD7d7KgoN506eTe+7LXXzI7Yd+npQuzZI8SzzwrRooUQp09nP0c7zi8HSUlJHo+x86nFbs2aNXjqqadw6dIlHD9+HMeOHXP58Ifo6GhERUVhyZIlLscTEhKyjaNT1KxZM9v4u8WLFyM6Otrt+LrcOIwYN6TdYqhhQ/fnKONJTOgO9xvlOfm4Zk9AsmNXrJa7RbbNovxOMmopHU9VqqTWt271//2yLl+Smgps3AiMG+f/e/vTkiWyxVFx5Yqcpf3WW+bFRNklJ8tdQ0JCsu9wktWRI7LlasMGWb77rjEx+oPTCVSvDnz6qWyhczdz+48/5N/8LPmNz7f05UFCCDz00EO6BOCNPn36YOfOnejduzcWL16MBg0aICUlBR999BEAoFmzZqiqGZQ8atQopKSkoGHDhli8eDF69+6NXbt24Wl3gzHz4DRij9avvlLr99/v/pzu3WUpROAse3LkiCzdLFmjO213tnb/UNLHzTerdSusK6Ys9g3Itc6sRNstbMSep8OHq/V9++TPgt3/gQDkH86rV7MfHz5cTsYK1P217ebee+WWg7mtdTt2rPx7UK6c/L42aWLeUkBGatZMLlKs1wL9vrQsNm7cWNxhUldLt27dRFBQkAAgIiIixCeffJL5tapVq2brlh07dqyIiIgQAERwcLDo0aOHV/dL0naPaacu+0OJEnl3Ga1cqZ6zb59/4zFKcLB8Pn36GHM/5fUbO9aY+3lqwQI1tpMnzY7GN9qfl06dzI5GiDffzHn5ICvQLrHgT08+6dq1FYiuX3ffjXfbbWZHJv92HD9udhTGu35diLZt1d/xWT9OnhRi40YhSpcWYuRIs6O1NG+6Yn2atnb9+nVs2rQJhQsXRoUKFbItSvz333/nP+PMwaxZs3L82r59+7Ide/755/G8XnsJnjnj3z08lYUJw8JyPqdpU7U+Zw7w6qv+i8cIaWnqf3Da5+ZPoaFywK7VHDyo1u20V6yWdpbiv/+aF4di/Xq1bsRyRd6Ki5MDsgH/zSTevFkOPA90oaGy2+6tt1x31DBzseU1a4C+fdWfBYdD/Z2XmAhUrmxebP62daucxelu9mmVKsCWLfJnskQJdbgE6cKnNs5Dhw4hNjYWDocDR44cwX///efyEbAWLTLmPtqZm1lpx5Ioy4TYmbLVE5D78/YHq/0yUbqMtHsE25Eyls3s7bIAOabFyrSr6Pvj5/no0ezjdY0Y8mAWpxN4+eXsCdOKFebE8/DDrv/gCCGXdQoLk8mNsrVUcDAweLA5Merhn3/k+ojK79TBg4H69d0ndUlJ8ve+Ff/RChAOIbSr8lFWycnJiFEG9999t26DG7PZvx+oVk3WV64EWrXK+dzgYPmfaaFC1tj7Mj9++kkuwAjI52TEeAqnU/6CbdnSWsvGtGght+UKCsp9HIrVtWqlJlRm/3opUkSOsytVyvj14jylXZJJz9crLU1dSkgxaRLQu7f9/3nwlPLamvGzvncv4O3yXxER8nuTlCR/z69ZI9eH7NIFeOop6443K1zYs4XJjfodH4CSk5MRGxuLpKQkxOSRFHv1CpcpUybPj7Jly+YreCvKXF1N21Wmt2XL1HrWPWKzUja/tkKLSH6tWWP8PZUZ0V7OjPa7QFlUVTtLXburiBmUyRP33WdmFJ6bNk2f68yfnz2pGzpUJgcFJanTWr1azsicOdM/109JAT7/XL7f1qyRLYa+rOl69aqaIKWlyf1RV6wAnn1W/sP3yiuyZV87ce7YMdml37+/Lk8lTwsXyp/rrVvlP0zNmuWe1N10k3wOV68yqTOIV69yVFRUnh/eLiNiBwuUijJ70x+040DyevNbZVskPRw9KsuwMON+6EuXNuY+3lKW5tEug2FH2uUzsuwUYyjtOEorJ83aBXUfe0yf2e5ZZwCfPl0wl//QNjSMHQv07ClnH27apM/1J06U3a1hYTJpLlJEtg5mbQRo2FCOKXPX45PLAvvZjBwJREXJJO/33+Ui62XLAnv2yO0mX39dnvfnn64zwn1x5gzwzTdA69bA3LkyOStUSP6TVKWK7Go9eVIuSZKT06fl2PE77nAdRkT+5fepHDaXlJQk3jFiNllUlOcLDy9cqMaTmOi/mIxQv758HkFBxt2zWjV5z0qVjLunJ4oVk3EVL252JPmn/ZkxayHoJUvs83OiLNINCFG0aP6utWiR6+vfs6c+MdrR++/nvOjtf//l79oHD3q2uG7Fiq6PU37/3H+/eizrAsveLN6r/bjrLiFq1FA/v3rVu+eUmur6XvTmQ1nE38PF/8k7fl+guKBxvxOtzi5flmXW7hN3tHvGTp/un3iMorTSGbnVk9JtYLXxicps6AYNzI1DD9oWiw8/NCeGH39U61bfLku7qfm5c/nrMnzwQbU+fDjw3Xe+X8vuXngh569NmOD99ebOBUaNkvVt2/I+///+L3vr3d69MhXSTpxRWpRDQuRYwFat1BnSLVq4fk9z88svsvVOcc896szww4eB556T93/tNfn7JmvL7qBBvv1ejI+Xs3wB6w1xKYgMSDRtLSkpSVTR/leyZ4/+N1m6VL3+Rx959hjl/A4d9I/HSMr6RvHxxt2zbVt5Tz9tf+cz5Xvq5VqLlqU8n+bNzbl/qVL2Wrcta0tbaKgQr74qW4Y8df584K9X563z54WYOjV7C1NIiBBbtsg15tLT5Zpr6elCfPaZENu2ycfu2CHEU08JceSIEF984fr4d95xbWXVfq1kSXk9T+3bJ8SIEe63m1L42ooHyFa86Gj3XwsPF6JQIfm3xJNrNW8uxNdf5+c7Qj7wpsWOs2LzoMxEyXyRPv1UDmTV0y23yOnigPzR8YSy+XH16q7/odmNMpuqUSO5vZERevaULSKFCwPnzxtzT08EBcnxVY895tqCY1fh4XKbuGrVZCuB0ZSxS1b7PudGmfGu5XRmP5aT2Fi1xeX99+2/zqWetm8HpkyRY+20ihd3v0tKerr8mQSAYsWAs2dzvrYQ8me3b1857uyrr/Rfi7JCBTnOOzwcuHZNPe50yuPly+u/G1H//nJcoLKMWXR0YEzasyG/zYol+GexSyWp84bSteRmUWZbUbpFjex+VAbV53dwsd6UX8rt2pkbh16UWYFmvEe1y8X4MjvRLOPHZz/myR/radPkH11tNxqTOld16gBjxrh2gQI5b32nJHVA7kmdcp7TCXz5pVzv1B8LjB8+LOO4fFn+w9ShA9Cpk/wHv0wZmYgeOSK37srv9nmPPy67ZceOlUtxnT4t72vEnumUb35Y5jwwpYeFIej6df1mU7lz++2en1uxInDokOctfFZXs6Zx96pdG/jhB2tNvT93Tq1r/6DYWVSUWvfXrgo50f6x9mUslVlyWurowIGcdymoVs11oW/AdaYtucppH25fGfm+VsYih4YCS5dm/3q5csCCBbL+00/AiBE5z1qtXj3nlvQpU1w/d7dxPVmWhf6yWZtQBrfqvbOGtrVuxAjPH6f3LyczKEudAPK/aaPExcnSSkmx9n3VubN5cehp8mS1bvRuB9r30803G3vv/Lj5ZvfJXZUqrusDKjIysid1APDII/rHFkguXvRumRGtXVmm01l1+7927eTECSHktnVBQXI5luvX5Zpye/a4jp578035D/bp02ZHTvnExM5DGaVKyYqnY108pf3PyJstte66S61v3qxfPEbavl2te9NaqRchrDMzNjVVrQfKek/a5Oqvv4y9t7bV026z9FavBn7+OftxZU9ZRYUKgdO6a7ToaJkUK//khYXJj8aN1RUKFELIJGjDBlmPj5djNvv1A5580vX3mFXFxckhKGfOyNY+d79jhg2Ta2mydc722BXrobQ2bRC6c6f+F/Z1D0NtK8SECcDXX+sTj5FWrpSlw2HsavgdOqj1f/+VEzfMpnSfBJpmzdTlFozsjj1xQpZduxpzP73ddRewfLm63Z4iPFzuyZmWlvOC6TNm+D++QJE1Wc5J9equnxcu7H48pJVZaegJ+RW/0x5K1yYDp07pd2Hlv738/NB5+svJapSZikZ3iRYubOz9PKH3bDarmDVLrf/9tzH3VJI6wH6tdVrt2smWXG0LyvXrcrarspaaltKl1qOHcTEGqk8+ka/7xx+bHQmR15jYeUjUq6d+8sMP+lz02DE1qWnSxPvHFykiSzOWktCDsj9usWLmxXDokHn31lIG++cxjd12KlRQ602bGnNP7cz1r74y5p7+Ehwsxzzl1QoXgHt0m6p/f/m6v/SS2ZEQeY2Jnae0//m7G//iC23z/jvveP94Zc/TnKbrW52SxGjXZDLaH3+Yd28tpbtSu79pIHr6af/f4/nn1bqRMxb9qXVr98c//ljOjtRORCKiAo2JnTeU7tLcNj321LVrwJUr6ud33OH9NerWzX8cZlK6kBs2NP7eyuBhqww+V5LcQJk4oaUdC6adKesvytZGgaRUKffDNV56yXXMKBEVeEzsvKGsy6XHIo3adct8HTj/f/+n1u34H7uSVJkxDkqZrKG0lJlN6ZKvWtXcOPyhXDnX5+XPFlrtWMWsEw/sLj1dLlORng4sXMjFYonILSZ23lB2R9DjD5N2W5aWLX27RvPman3RovzFY7S0NHXpmNtuM/7+yutvZjewll2XrPHUL7+o9Tvv9N99evZU60a0DhotPFy23HXuHHjjMYlIF0zsvKEkIMq+gPmxcKFa97XFStttN316/uIxmnYsmRktK0o3tlWWAChUyOwI/Eu7a4I/tuVTrF6t1rUTN4iICgiL/FWziS5d1Hp+Z1NqE8P8rOGmrJ5++HD+4jHaxo1qXVn82UjKoHqrjMdS3g++tt7agXb3CX+1lCpLnVSp4p/rExFZHBM7b9Sqpda1LW75kd/B8mXKyNJuY+y2bVPr5coZf/9Ll2RplRnFStewlbY509vMmWq9fn39r6/tejVy72EiIgthYucNbRL244/mxaFVu7bZEfhGef3MmpWq7NxhtVmogZyQVKyo1v2xqLZ2KZXRo/W/PhGRDTCx85VVFrZ97DG1bqfuWKXFzKwdF5Qkwyp7xSrsvoRNXtq1U+v+7C5V9gAlIipgmNh5S+k21HNbsfx48EG1Pm+eeXF4KyFBlmaMr7OaY8fMjsA42sWDDxzQb6zdhAlq/csv9bkmEZENMbHzVny8LJUWJ7NpV9afP9+8OLx19aostftgGunee825rzvr1ql1f4w9s5IOHVzXtBs+XJ/r9u+v1nv31ueaREQ2xMTOW1b8w6skd9oJCVaXliZL7bgrI4WFmXPf3Did+ZshbRf79qn1kSPzf72xY9V64cLWWcKGiMgE/A3orQceUOtbt5oWhgtlA3A7rkTftq059y1aVK2vWGFODIq9e829v9mqVcvf4ydOVOs7d+bvWkRENsfEzltNmqh1q8yMbdVKrZs1GcEbyvg6AGja1JwYqldX62YveaK0tNrhe6cX7eSj/fuBvn19v5bSrR8VpS7/Q0RUQDGxy48NG8yOQHrmGbWuLNBqZdoWqkaNzItD6bLz504InlC6XwvSFlEVKgCzZqmff/EFsGyZb9dKTZVlw4b5j4uIyOaY2PlCWfvMKl1o2iUy3n3XvDg8pZ0sYCalhczsFrs1a2QZFWVuHEbr1s11O7277/btOso/M1YcN0lEZDAmdr5QlujYv9/cOBTaRXa1W3VZ1fr1sjT7D3Hp0rI0uwtUeR0uXDA1DFN89pnr5w4H8NBDnv/TdOWKWtfOtiUiKqCY2PlCGcdjpe2fCheWpR0Gj6ekuJZmURK6X34xNw5lTcQWLcyNwwyPPQYsWOB6bM4coEYNzx6vXb9u8GDdwiIisismdr7o0MHsCLJTWhGVgeRWtnmzLOvUMTcOJbErVszcOJTdL7StTwXJvfcC3btnP/7nn0CPHnIXiX//df3alStAkSLAK6+oxypX9m+cREQ2wMTOF/fdp9az/sExizYmq3fpKeOqrl83Nw5lsP2BA+bGoXTF3nqruXGYaeZM10WGATljetYsYM8euYfuzp3A9OmyuzYqyvrvcyIiEzCx80WtWmp95kzz4tAaOlStz51rXhyeUFqo7rrL3DiU3UPM7lJXEtwKFcyNw2xjxwLffJPz12vXBh59NPvxkiWBHTv8FhYRkZ0wsfOFdmV7q0xW0M4unDTJvDi8oWzPZpb27WVpZmKn3XPY03FlgcrpBHr1Ai5e9Pwx770nZ8XWru2/uIiIbISJna+UROqPP8yNQ0tJOLdvNzeO3Gh369Au9mwGZXmRjAz9NqP3lnZGrlmLNVtNdDTw8MPq54mJ2c/p0kXuMztkiHFxERHZABM7X0VHy1LpVrQCZWsmZcFWK9LO2m3QwLw4AKBjR7V+7pw5Mdhpf18jTZ8uW+6uXpWz0IUAdu0CevcGjhyRww1GjDA7SiIiy2Fi56t69WRp9vgsrR491LoyfsxqliwxOwKVdjasWcmwtnVVu38tyX+etGs0xscDX38NlCtnXkxERBbHxM5X996r1q2SRA0YoNanTTMvjtxo94k1mzZpmD/fnBjOn88eCxERkY+Y2PlKu+6WVWbkaVt8xo41LYxcKUtURESYGgYA1wknZo2xW7lSllbuPiciIttgYucrZacHAFi82LQwcmSV7c6yOnhQllaZxRgaKsusux8YpVAhWYaEmHN/IiIKKEzsfOV0yoVSAWsldsqiu2bvf5oXs3d7UKSlyVKZDGM0ZfJExYrm3J+IiAKKbRK7AwcOoEqVKnA4HHA4HKhSpQoOHTqU62OqVauWeb7yEa3nH/CgIFn+959+18yvQYPU+rFj5sXhjnYsYufO5sWhpcwkXrfOnPsriaUy1o6IiCgfgs0OwFONGzfGxYsXMXnyZADAgAED0LhxY5w8eTLXxxUvXhwrVqzI/DxKWbtMD6VKAUePmr81ltY996j14cOBL74wL5astBMn7r/fvDi0lMRKz/eFN5TFeP/3P3PuT0REAcUWid3ixYtx5swZfPnll+jTpw8AwOl04sknn8SyZcvQoUOHHB8bHByMOv7abP7OO4GpU6018F07IWD2bGsldspEAQAoUcK8OLSaNZMtrmatY6e8d4Jt8aNIREQWZ4uu2B9++AEAMpM6APi///s/AMCcOXNyfeyJEyfgdDoRGhqKmjVrYqd2gVw3kpOTcfTo0cyPRHer3itatVLrKSm5PwkjxcbK0putmYzw44+yDA523ZbNTNWrmx2B1KKF2REQEVEAsEUzQWJiIkLczBoMCQnJNfHq2LEjihQpgrp162Lz5s346KOP0LBhQ5w6dQoxMTFuH9O5c2esXr3as8C0m9gvX26dcWNt2wJKwnvlimsrnpn++UeWVprYcfvtan3vXmMTPWXpF0BuZE9ERJRPpjabtGrVKtvkhqwf0/JYaNehzEx1Y9y4cRgxYgTuv/9+vP3221i/fj2uX7+Od955J8fH/Pjjjzhy5Ejmx65du3K+eZkyat2s5TLcmTBBrX/1lXlxZKV0OxYvbm4cWq1bq/W9e429t5LoAkC7dsbem4iIApKpLXaTJ0/G/jzWW2vevDlWrlyJVDfj2FJTU1FGm1zloV69eggJCcGOXBYUjomJcWnNS/Z0L9i1az2Ow++049fGjAH69zcvFq0rV2RppW5HbZfwkiXA3Xcbd2/tPw1mLbdCREQBxdTELi4uDnFxcXme16VLF0ydOhVTpkxB7969AQBf3WiJevDBBz2+3969e5Gamory5cv7FrA7oaFyfN2ZM/pdUw9BQUB6OnDggNmRSNru10aNzIsjN8qackaxyo4lREQUMCwygj13nTp1QvHixfHss8/iyy+/xJdffol+/fqhRIkSLjNiw8LC8MorrwCQkyZuvfVWfP7551i3bh3Gjh2LBg0awOl0YsSIEfoFp8y49bRlzyhNm5odgas//1TrVlnqRKHMSE1KMva+yi4cyu4TRERE+WSLyRMAsGHDBtx555148sknAQCVKlXCqlWrXM5JSUnB2bNnAQChoaE4ePAgnn76aQghEBQUhEqVKuG7777zqvs2T7feCvz1l2yRysiwzmzPF18Efv9d1v/5x/wtvJQZsYB1ZqIqatUCtm8H9uwx9r7KmD4rrYNIRES2ZpvErmrVqjiQR7eiECKzXrRoUZwxonu0Y0dg0iRZv3bNOjNQta1izz8PaBZpNsWaNebePzfK+M1cJuL4xalTsixd2tj7EhFRwLJI85KNabs85883L46stC2HWVo2TaF0VVulRVOrUydZGt1ydvmyLDlxgoiIdGLBv7I2o126Y9Ys8+JwR+lytsK6ccrC0DffbG4c7tx2m1o38rVKT5elVSeTEBGR7TCx05N2XTIrGDRIrR89al4cAKB0kyu7YliJNrFauNC4+yqJ3U03GXdPIiIKaEzs9FCkiCyNnlWZl6efVus3Zgubrn17syPITjuZRjvJwyjaHUyIiIjygYmdHurXl+X58+bGkVV4uFo3c2eM7dvVeseO5sXhib//NuY+ymLNAFvsiIhIN0zs9FCvntkR5KxYMVlqEwmjffaZWlfW/bMapYv45Elj7jdvnlqvVMmYexIRUcBjYqeHhx9W6wkJ5sXhTrduaj0lxZwYVq9W61acFQsAyg4oyhIk/qbMiAWAwoWNuScREQU8i/6VtZkGDdS6kYPvPfH662r9yy/NieHIEVlGRZlzf0/Exxt7v6VLZWn02nlERBTQmNjpbckSsyNwpZ0YoCykbDSldapWLXPu74knnlDrytIs/nTxov/vQUREBQ4TO70oLS+HD5sbhztBQbI0ImHJ6to1td6ypfH391Tz5mp96lT/30+ZUKJdB5GIiCifmNjppVo1WZ44YW4c7txyiyzNWKhYO76uf3/j7++pYM3uej/84P/7Kd8LK67rR0REtsXETi81asjSrAkKuXnuObVudIvitGlqvVw5Y+/trZAQWRrxGilL43BGLBER6YiJnV5atzY7gpz16qXWP/zQ2Hv/8Ydat+qMWEXDhrJUdoQwgtKaSkREpAOL/6W1kc6d1fqqVaaF4VZoqFpftszYeyutX0WLGntfX/Tpo9b37vXffc6cUetWXgORiIhsh4mdXqpXV+uzZ5sXR04iImR54ICx91XGkt18s7H39YV2ZuyECf67j3YR5Ace8N99iIiowGFi5w+//252BNlpN7o3inYiSY8ext/fW9qu4p9/9t99tPvRaltTiYiI8omJnZ6UvVmN2r3AGy+9pNaNmkChXTdP281pZcrs2MRE/91j/ny1zsSOiIh0xMROT0p3o1H7jXqjQwe1PnmyMfecMUOt2yWBqV1blv5cQPjQIVlafTIJERHZDv+y6EnZb9SKtImVsp2Vv+3fL0tlGRE7uOsute6v8YjKos2lS/vn+kREVGAxsdNTt25q/dw58+LIidJVvGuXMfdTJk7UqWPM/fTwzjtq/f77/XOP5GRZNm3qn+sTEVGBxcROTy1aqPXFi82LIydVq8rSiEWUr1xR63YZXwe4tmxu2+af3TqU7eesvHcuERHZEhM7PRUurNZnzTItjBzdc49a9/f2Yq+8otbtMCNWS9uSNmSIvte+cgUQIvt9iIiIdMDEzl+M6u70xuOPq/V58/x7r5kz1bo24bUD7XI1I0fqe23t69K4sb7XJiKiAo+Jnd5uukmWVhxjp53csXy5f+919qwso6P9ex9/cDqBYsXUz/VcvkabNBYvrt91iYiIwMROf3XrytKfy2Xkh7JO2y+/+O8e2jF8bdv67z7+tH27WtfzOfz6qyzDwvS7JhER0Q1M7PSm3eHB3+PYfKEkFEeP+u8eEyeq9TFj/HcffypTRq1v26bfdY8fl6WSYBMREemIiZ3eHn5Yrf/9t3lx5CQ+Xpb+TDpfe02tV6jgv/v4m3ZNO726TZVFiatV0+d6REREGkzs9Kbd7N7fExR80bu3WvdXcqcsdWL3nRW0CzmfPZv/GbIZGWo3tXaGMhERkU5s/pfX4oza4cEbDzyg1r/9Vv/ra7t4BwzQ//pGCg52/R5+8AHw7LO+Xy8tTa3ffrvv1yEiIsoBEzt/CAqS5eHD5sbhTqlSan32bP2vP2KEWh81Sv/rG61DB+DBB9XPJ06UCwyPG+f9tV5/Xa03bJj/2IiIiLJgYucPyvipS5fMjSMnShfpn3/qf+3vvlPrgTJB4Pvvge7dXY+98IL3e8lOnarWudQJERH5ARM7f2jSRJbarjcriY2VpT/W2lM2uI+K0v/aZpo5Ezh/3rXFs0oV765x5owsIyP1i4uIiEiDiZ0/3H23WlcSHStp1sw/19W2YD3/vH/uYabChdXlShRdunj2WO37oEMH3UIiIiLSYmLnD23aqPW5c82LIyePPKLW9dxVQbs8yPDh+l3XatLT1fq8ebLLOa/WWe2M2s8+809cRERU4DGx8wft+Kn5882LIyfaVqaff9bvuvv3q/XQUP2uazVOJ/DSS+rn6elASEjuyd2kSWq9RAn/xUZERAUaEzt/++MPsyPITpt0LV6szzW1M4C1LXeB6uOPgf/+cz0WEqKOo8tK6YqNifFvXEREVKAxsfOXQoVkmdMferM5HLLU7omaH9r9VH/8UZ9rWl3lyoAQrsduuin7eVu3qvX8rINHRESUByZ2/lKvniytOjO2ZElZ7tmjz/X+/Veth4frc027yJrcZR1DV7++Wn/zTf/HQ0REBRYTO3/RzoxVttiykvLlZamdCOAr7Xgz7WK+BYn2dXzuOSA5Wdaz7r4RyGMPiYjIdEzs/KVHD7W+c6d5ceREu+BufhPPMWPU+vff5+9aduV0yq5ZRWysPDZ+vHrs4EHDwyIiooKFiZ2/lC2r1mfNMi+OnPTqpdbzs2dsp05qvVEj368TCPbtU3f1AFy7aNu3BypWND4mIiIqUJjY+UtwsDpBYd06c2NxR7sky7Rpvl9nyRK1vnGj79cJBE6n7JLVLm0CAK1bA8uWmRMTEREVKEzs/CkiQpbbtpkbR06UxPOvv3x7fJEial3b9VzQPfWUbK2bNQvYsQP47TezIyIiogKCiZ0/KfuKXr9ubhw5qVBBlikp3j82IQG4cEH9fMYMXUIKKN26AbVrmx0FEREVILZJ7O666y4UKlQIDocDDqWlKQ8ZGRlo1aoVgoKC4HA4ULhwYSxcuNDPkWq0aGHcvXzRs6da9ya5S0kBatVSP1+6VL+YiIiIyGe2SexSUlLQpk0bNGzY0OPHdOzYEatXr8bAgQMxb948xMTE4IEHHsCxY8f8GKmGdk/WvXuNuac3tIvlerP1WViYa52b2hMREVmCbRK71atXY8GCBainLPybh4yMDPz8889o3749Ro4cifvvvx///PMPMjIyMGjQIP8Gq2jdWq3PnWvMPb1Rrpxaf+UVzx6TtbVU2SqLiIiITGebxM5ba9asQUZGBnpplvWIiYlBqVKlsGHDBmOC0C598fPPxtzTV4cO5X1OVJT3jyEiIiLDBJsdgL/8e2OLq7i4OJfjhQsXxunTp3N8XHJyMpKVXQMAXLx4MX+BhIQAqalyjTMratIE+PNPWU9Lk8u0uFOzputCxomJQJky/o+PiIiIPGZqi12rVq0yJ0Pk9DEtP2usAXA6XZ+iyLqvZxadO3dG+fLlMz9qaScJ+EJZlDYxMX/X8ZevvlLr2h0ktOrXd90LduNGJnVEREQWZGqL3eTJk7F///5cz2nevLlP11Za6hISElzG5SUlJSE2NjbHx/3444/ZWuzyldzVrClb6/JIKE1z881qffBgIOv4w4gI13F0s2ZxhwkiIiKLMjWxi4uLy9ZVqpcWLVrA6XTi22+/RY8bi+deunQJJ06cQE/tMh9ZxMTEICYmJvNzbZLnkwceABYvlvWMDNdxd1YRHCy7YQGZxIWHy3pQkIxZMX26XJuNiIiILMmCWYZ769evx+zZs/Hff/8BAGbPno3Zs2fjxIkTmeeEhYXhlRuzO51OJ9q2bYtly5bhlVdewfz581G7dm04nU6MGjXKuMC1S4HMm2fcfb2xaZNaV3bLcDhck7qDB4GHHzY0LCIiIvKObSZPPProoy7dtt27dwcAjBkzBi+88AIAudbd2bNnM89ZsmQJ7rjjDnz00UfIyMhAbGws5s6dizJGjg9Tdp8AgG++Abp2Ne7ensq6hEzWJU02buQG9kRERDZgm8RunwezSrNOjHA6nVi1apWfIvKBtmXManbsAG65JfvxixeB6Gjj4yEiIiKv2aYr1tYKFZLlmTPmxpGb2rWBs2eBuDgZ7zPPyGVamNQRERHZhm1a7GytSRPg11+B9HSzI8ld0aLA7t1mR0FEREQ+YoudEbQTKC5dMi8OIiIiCmhM7Izw+ONqff1608IgIiKiwMbEzgiFC6v1GTNMC4OIiIgCGxM7Izid6hIif/9tbixEREQUsJjYGUVptePkBCIiIvITJnZGqVRJlqmppoZBREREgYuJnVHatTM7AiIiIgpwTOyM8sgjav33382Lg4iIiAIWEzuj3HyzWp8+3bw4iIiIKGAxsTPDzz+bHQEREREFICZ2RgoLk+XRo+bGQURERAGJiZ2R4uNlmZJibhxEREQUkJjYGenuu9V6erp5cRAREVFAYmJnpG7d1Dq7Y4mIiEhnTOyMVLu2Wv/lF/PiICIiooDExM5ITs3LfeSIeXEQERFRQGJiZ7TYWFlyAgURERHpjImd0SpXNjsCIiIiClBM7IzWooXZERAREVGAYmJntH79zI6AiIiIAhQTO6NVr252BERERBSgmNgRERERBQgmdmaIiDA7AiIiIgpATOzMUKmS2REQERFRAGJiZ4Z77zU7AiIiIgpATOzM8Mgjav3aNfPiICIiooDCxM4MN99sdgREREQUgJjYEREREQUIJnZEREREAYKJnVm6dZNl4cKmhkFERESBI9jsAAqsadOA224DOnc2OxIiIiIKEEzszBIaCvTvb3YUREREFEDYFUtEREQUIJjYEREREQUIJnZEREREAYKJHREREVGAYGJHREREFCCY2BEREREFCCZ2RERERAGCiR0RERFRgGBiR0RERBQgmNgRERERBQgmdkREREQBgokdERERUYBgYkdEREQUIILNDsDqhBAAgOTkZJMjISIiooJIyUGUnCQ3TOzycOzYMQBA+fLlTY6EiIiICrKLFy8iNjY213OY2OUhKioKALBz506UK1fO5GjMkZiYiFq1amHXrl0oW7as2eEYrqA/f4CvQUF//gBfg4L+/AG+BmY+fyEELl68iDJlyuR5LhO7PDidchhiTEwMYmJiTI7GHEoTcKFChQrka1DQnz/A16CgP3+Ar0FBf/4AXwOzn39eLXUKTp4gIiIiChBM7IiIiIgCBBO7PMTExKBly5YFstlZUdBfg4L+/AG+BgX9+QN8DQr68wf4Gtjl+TuEJ3NniYiIiMjy2GJHREREFCCY2BEREREFCCZ2RERERAGCiR0RERFRgGBiB6B79+4ICQmBw+FAZGQkJkyYkOv548aNQ2RkJBwOB0JCQtCzZ0+DIvUPb57/2LFj4XA4sn0sXbrUwIj1NX78eJQsWRJBQUFwOBwYMmRIno8JpPeAt88/0N4D7dq1Q1RUFBwOB5xOJ0qXLo1ly5bl+bhAeg/48hoE0vugR48eiIiIyHwOhQoVwltvvZXrYwLp+w94/xoE0vffnXbt2sHhcKB+/fq5nmfJ94Eo4AYMGCAAiF69eolFixaJevXqCQDijz/+cHv+6tWrBQBRr149sWjRItGrVy8BQLz88ssGR64Pb5//mDFjBACxfPlysW3btsyP69evGxy5ft58801x2223iUGDBgkA4tVXX831/EB7D3j7/APtPVCsWDHRp08fsWDBAjF79mxRokQJERQUJE6ePJnjYwLtPeDLaxBI74M33nhDjBgxQixfvlwsX75cNG/eXAAQCxYscHt+oH3/hfD+NQik739WU6dOFcHBwSI8PFzUq1cvx/Os+j4o8IldVFSUqFWrlsux0NBQ0bRpU7fnN27cWISGhroci4+PF9HR0X6L0Z+8ff7KD/PBgweNCM9wniQ2gfYe0PImsQvU98CuXbsEAPHJJ5/keE4gvweE8Ow1CPT3gcPhEI899pjbrwX691+R22sQqN//48ePi5CQEPHhhx+K2NjYXBM7q74PCnRX7KVLl3D58mV06tTJ5Xh8fDwSEhLcPmb37t2Ij493OXbPPffg0qVLuHLlit9i9Qdfnr+iWrVqCAoKQtGiRTF69Gh/hmk5gfQeyI9AfQ8cO3YMAFCuXLkczwn094Anr4Ei0N4HKSkpGDBgAIQQeOCBB9yeE+jff09eA0Wgff9vu+021K5dG4MHD87zXKu+Dwp0Yrdnzx4AQJUqVVyOlyhRIsdvytWrV1GiRAmXY8rjlevZhS/PPy4uDo8++iimTp2KiRMnokyZMhg4cCDGjx/v93itIpDeA74I5PdARkYGHn74YcTExOD+++/P8bxAfg94+hoE2vvghx9+gMPhQFhYGMaPH48RI0agc+fObs8N1O+/N69BoH3/AWDAgAFITEzEb7/95tH5Vn0fBJt2ZwtxOBwunwshsh3L7fyMjAwAgNNpzzzZm+ffoUMHdOjQIfPzvn37omTJknj33XfRv39/v8ZpJYH2HvBGIL8H6tatizNnzmD9+vV5nhuo7wFPX4NAex+0a9cOv/76KxITEzFx4kS8+eabqF+/fo6JTSB+/715DQLt+//nn39iwoQJmDVrFgoXLuzx46z4PrDvO1AHNWrUAADs37/f5fjp06cRERHh9jERERE4efKky7GDBw8CkE3SduLL83enTp06OH/+vK6xWVkgvQf0EgjvgTp16iAhIQG//fYbGjVqlOu5gfoe8OY1yOnxdn0fREdHo02bNujVqxfWr1+PwoUL45VXXnF7bqB+/715Ddyx8/d/wYIFEEKgW7dumTN8k5KSsHXrVjgcDqSkpGR7jFXfBwU6sYuOjkZUVBSWLFnicjwhISFbv7miZs2a2cafLV68GNHR0YiMjPRbrP7gy/N3JyEhwXbPPT8C6T2gFzu/BzIyMlCnTh3s3LkTy5YtQ4sWLfJ8TKC9B3x5Ddyx8/vAndTUVLfHA+37n5ucXgN37Pz979+/P+bNm+fyERkZicqVK2PevHkIDQ3N9hjLvg9MnbphAcpyH48//rhYtGiRqF+/vgAg1q1bJ4QQomnTpqJKlSqZ5yvTmxs0aCAWLVokHn/8cUtMb/aVt8//vvvuE6+++qr4+eefxYIFC0TTpk0FADFo0CCznkK+HT9+XMyaNUvMmjVLABD33nuvmDVrVuaSL4H+HvD2+Qfae+Dmm28WAMTYsWNdlm04e/Zs5jmB/h7w5TUIpPdBs2bNxPjx48XatWvF3LlzM5f6eP/994UQgf/9F8L71yCQvv85yTor1i7vgwKf2AkhRLdu3URQUJAAICIiIlym+FetWlXExsa6nD927FgREREhAIjg4GDRo0cPgyPWlzfPv0OHDiI4OFgAEA6HQ8TExIgRI0aYELV+lGn7WT+qVq0qhAj894C3zz/Q3gPunjsA0adPn8xzAv094MtrEEjvg+rVq2f+DnQ4HKJIkSKZCY0Qgf/9F8L71yCQvv85yZrY2eV94BBCCJ0a/4iIiIjIRAV6jB0RERFRIGFiR0RERBQgmNgRERERBQgmdkREREQBgokdERERUYBgYkdEREQUIJjYEREREQUIJnZEREREAYKJHREREVGAYGJHRBSgypQpA6fTiXLlypkdChEZJNjsAIiIyD9efvllnD9/HlOmTDE7FCIyCFvsiChgFC5cGPXr17fVPffu3Qun04l169bpGJX00ksvoVixYm6/Vq5cOdx7772635OIzMXEjogoH/7++28sWbLE58f36NED1apVw+233+726zNnzoTD4UBsbKzP93Bn7NixWLRoEY4eParrdYnIXEzsiIjyoWrVqihTpoxPjz137hw2b96Ml19+Ocdznn76aTRt2hTJycnIyMhw+VpkZCTCw8OzfWzevDnPe3ft2hXh4eEYNGiQT7ETkTUxsSOigPXOO+/A4XCgb9++OX49JiYGDocDTqcTJUuWxG+//QYASEhIQFBQENq2bZt5/ldffQWHw4H3338/81jWrtiBAwciPDw885pFixbFqVOn3N7/gw8+AIAc43vuuecQERGBTz75BACwatUql69fuXIF165dy/bRoEGDPF4ZqUmTJli6dKlH5xKRPTCxI6KANGDAAAwdOhRDhgzB559/7vacpKQkPP300/j5558zuzw7duyItLQ0xMfHY9iwYfjll18wbdo0nDhxAs888wzq1auHIUOGuL3e1q1bMXr0aLRv3x5r167FnDlz0LZt22wtbYpffvklxzFwp06dwuTJk/Hll1+iUaNGAIBly5b58ErkrHXr1khOTkZycrKu1yUiEwkiogARGxsr6tWrJ7p16yYAiI8//tirx+/atUsAEPPmzcs8Vrt2bRESEiIqVaokwsLCxPnz593eUwghpk+fLgCIdevWeXS/UqVKierVq7v9WrNmzUR8fHzm59HR0eL222/36vkUK1ZMOBwOAUA4nU4xdepUl6/PmTPHq3iJyPrYYkdEAWXHjh2YPXs2vv76a7z00ku5nvvbb7+hUqVKCAkJgcPhQK1atQAA27dvzzxn9erVEELg4MGDmD59OgoXLpzj9R588EEUKVIEt99+O8qVK4devXrhwIEDOZ6fmpqKsLCwbMdXrVqFDRs2YNasWZnHypUrhz179uT6fLI6c+YMMjIyIIRAeno6HnvsMZevKxMyzp8/79V1ici6mNgRUUApVqwYnE4nPvrooxy7QBUdOnTApUuX8N5772HRokVYsGABAODatWuZ56xduxZpaWkAgG3btuV6vdDQUJw5cwafffYZqlatijlz5qBq1apYs2aN2/Ojo6Nx8eLFbMd79OgBIQTq1q0Lh8MBh8OB3bt34+zZs7ne31uHDx8GAFSvXl3X6xKReZjYEVFAKVOmDJYuXYrdu3ejXr16OZ63d+9epKSkYMSIERg0aBA6deqExMREl3MuXbqE7t27o2rVqmjXrh3effdd/PPPP7ne3+l04plnnsHq1auRlJQEh8OBjz/+2O25tWvXxsmTJ12OffDBBzh58iRmzZqFefPmZX707t0b6enp2Lt3r2cvhAfWrl2LoKAgxMXF6XZNIjIXd54gooDTrl07LF68GJ06dUL9+vWxZcuWbOdUrlwZDocDo0ePRnx8PLZu3Yrhw4e7nNO6dWukpaVh1apVKFWqFIoXL442bdpkS8YUX331FWbPno1HHnkE1atXx5w5c5CRkYGGDRu6Pb93795YsmQJDhw4gMqVK+PatWsYPnw42rVrh27durmcW6pUKUyZMgULFizQbYmSdevWoUqVKrpci4gswuQxfkREutFOZBBCiEWLFgmHwyEaNmzo9vwPP/xQhIaGCgAiPDxcjB07VgAQr776qhgzZowAID799NPM8//44w8BQHTv3t3tPRctWuQyYSEkJER07do115ijo6NFz549hRBC3HvvvcLhcIiTJ09mOy89PV0AEJ06dfL8BcnF+fPnBQDxxRdf6HI9IrIGhxBCmJhXEhEVaG+++Sbee+89XL58GcHBxnWiPPTQQ1ixYoXu4/aIyFwcY0dEZKLhw4ejY8eO+Pvvvw29b2hoKKZPn27oPYnI/9hiR0RERBQg2GJHREREFCCY2BEREREFCCZ2RERERAGCiR0RERFRgGBiR0RERBQgmNgRERERBQgmdkREREQBgokdERERUYBgYkdEREQUIJjYEREREQUIJnZEREREAYKJHREREVGA+H9hyZq9QY1rswAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ri.damp_lorch(s_max=4)\n",
    "ri.plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Additionally, it is recommended to damp the low s regime. We use an error function to do that "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "WARNING:hyperspy.io:`signal_type='reduced_intensity'` not understood. See `hs.print_known_signal_types()` for a list of installed signal types or https://github.com/hyperspy/hyperspy-extensions-list for the list of all hyperspy extensions providing signals.\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[########################################] | 100% Completed | 106.04 ms\n"
     ]
    },
    {
     "data": {
      "image/png": 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atEmvvvqqkpOTtXnzZn322WeS5PTz69Chg6pXr+5Y/jt58qSWLl2quLg4ubm5XXYOx48fV7ly5VSpUiWn9r/+x0eeoUOH6uWXX1bnzp31+eefa9OmTdq8ebMaNGhQqN+lq33Wubm5+T6HgvoCKBlcBYkiCQ8Pd2y8b9mypXJycjRz5kx9+umn6tatm2MPzPPPP6+uXbsWeI68b6evXLmyDh8+nO/1gtrKly+fb4O5pHz/cFetWtVpU3dBqlSpIi8vL33wwQeXfd1qeWN++umnCgkJKbbz9uvXT/369dPZs2f19ddfa9SoUbr33nu1e/fuIo0TEBCgPn36aObMmXrmmWc0a9Ys9ezZ86r36sorTv/44498BfKhQ4dK/DMfN26c6tWrp7Fjx+Z77auvvtKhQ4eUnJzsSL0kFXirEDc3N8XGxuqdd97RqVOnNH/+fGVmZl71CuDKlSsrOztbJ06ccCrCCvpdnzt3ruLi4vLN9c8//yzUPdH++ln/3aFDh2S321WxYkWn9iull8DVWJVOkYABf/HGG2+oYsWKGjlypHJzcxUaGqq6detq+/btatKkSYGPvGW6li1b6ssvv3S6OjEnJ0cff/xxvnFq166tHTt2OLV99dVXysjIcGrr0KGD1qxZ41jmLMi9996r1NRUVa5cucD5leQNNMuXLy9J+ZKMdu3aqVy5ckpNTb3s5+YKHx8fdejQQS+++KKysrL0888/m55jnieffFJ//vmnunXrplOnTumJJ5646vitWrWSdKm4+KvNmzdr586dat26dWHfSpGEhYWpf//+evfddx3Lp3nyio+8951n2rRpBZ6rX79+unDhghYsWKD4+HhFRUUpLCzsiuPnFXZ//93+6KOP8vW12Wz55rJ8+XIdPHjQqe1yP6fQ0FAFBwdr/vz5Tv9gnT17VgsXLnRcGQng2iABQ7GoWLGinn/+eQ0fPlzz589X7969NW3aNHXo0EHt2rVT3759FRwcrBMnTmjnzp3asmWLPvnkE0mXrt5aunSpWrVqpZEjR8rb21tTpkwp8Cq92NhYvfzyyxo5cqRiYmKUkpKiyZMnKyAgwKnfK6+8opUrV6p58+Z64YUXVL9+fZ06dUqJiYkaOnSowsLC9PTTT2vhwoVq3ry5hgwZosjISOXm5ur333/XqlWrNGzYMDVr1qxEPq/69etLkt5++2316dNH7u7uCg0NVe3atfXKK6/oxRdf1J49exz7644cOaLvvvtOPj4+pm+O+uijj8rLy0t33HGHqlevrsOHD2vcuHEKCAhw3MLgSnN8/fXX1aFDB7m5uSkyMlIeHh6SLl3x2r59e61cuVJ33nmnGjRocNW5hIaGauDAgXr33Xdlt9vVoUMH7du3Ty+//LJq1aqlIUOGmHpvRTF69GjNmzdPa9askY+Pj6M9OjpaFStW1GOPPaZRo0bJ3d1d8+bN0/bt2ws8T1hYmKKiojRu3DilpaVp+vTpVx27ffv2uuOOOzRs2DClp6fr1ltv1YYNGzRnzhxJctqrde+99yo+Pl5hYWGKjIzUDz/8oDfffDNfclinTh15eXlp3rx5Cg8Pl6+vr2rUqKEaNWrojTfeUK9evXTvvfdq0KBByszM1JtvvqlTp05p/PjxRfn4gMsiATOphDf5o4zJuwry71cOGoZhnD9/3rjhhhuMunXrGtnZ2YZhGMb27duN7t27G9WqVTPc3d2NoKAgo1WrVsbUqVOdjl2/fr1x++23G+XLlzeCgoKMZ5991pg+fXq+KwUzMzON4cOHG7Vq1TK8vLyMmJgYY9u2bfmugjQMw0hLSzP69+9vBAUFGe7u7kaNGjWM7t27G0eOHHH0ycjIMF566SUjNDTU8PDwMAICAoz69esbQ4YMcboqsyCXuwry8ccfz9e3oPk9//zzRo0aNQy73Z7vCsTFixcbLVu2NPz9/Y3y5csbISEhRrdu3YzVq1c7jV/QVXx5V7TlmT17ttGyZUsjMDDQ8PDwcHwOO3bscPQp6CrIzMxMY8CAAUbVqlUNm81W4FWb8fHxhiTjo48+usIn5SwnJ8d4/fXXjVtuucVwd3c3qlSpYvTu3dtIS0sr8H0U11WQf/XCCy8YkvJ9ft9++60RFRVleHt7G1WrVjUGDBhgbNmypcCrDA3DcPyOenl5FXhFVkG/IydOnDD69etnVKhQwfD29jbatm1rbNy40ZBkvP32245+J0+eNB555BGjWrVqhre3t3HnnXca69atM2JiYoyYmBincy5YsMAICwsz3N3d811NuXjxYqNZs2aGp6en4ePjY7Ru3dpYv3690/Guftb4Z8u7CjItLc04ffp0iT/S0tLKxFWQNsMoK6UkAKvlXU23b98+ubu7X+vplFrz589Xr169tH79ekVHR1/r6QCmpKenKyAgQGlpafL397dkvFq1aun06dOWjFdSWIIEYEpmZqa2bNmi7777TosWLdLEiRMpvkxYsGCBDh48qPr168tut2vjxo1688031bx5c4ovlGoGS5CmUIABMOWPP/5QdHS0/P39NWjQIMdd/VE4fn5++uijj/Tqq6/q7Nmzql69uvr27evSNz8AKH1YggQAAEWWtwS5f/9+y5YgQ0JCSv0SJLehAAAAsBhLkAAAwGXsATOHBAwAAMBi1yQBy83N1aFDh+Tn58dXXwAAUEwMw9CZM2dUo0YNpxv7WjU2CVjhXZMC7NChQ3r//fevxdAAAJR5jzzySL5vTcD15ZoUYHnfAQgAAIrftfp3tqykU1a4JnvAWHYEAKDk8O/s9Y+rIAEAgMvYA2YOV0ECAABYjAQMAAC4jATMHBIwAAAAi1GAAQAAWIwlSAAA4DKWIM0hAQMAALAYCRgAAHAZCZg5JGAAAAAWIwEDAAAuIwEzhwQMAADAYiRgAADAZSRg5pCAAQAAWIwEDAAAuIwEzBwSMAAAAIuRgAEAAJeRgJlDAgYAAGAxCjAAAACLsQQJAABcxhKkOSRgAAAAFiMBAwAALiMBM4cEDAAAwGIkYAAAwGUkYOaQgAEAAFiMBAwAALiMBMwcEjAAAACLkYABAACXkYCZQwIGAABgMQowAADgsrwEzIpHSUlKSlL16tVlt9tls9nk7++viRMnOvXZsGGDAgMDZbPZZLfb1aBBA2VkZJgeiwIMAABAUqdOnZSTk6OEhAStWrVKISEhGjZsmHbs2CFJysrKUsuWLZWVlaX58+dr/Pjx+umnnxQdHW16LPaAAQAAl5X2PWC7du3SxYsXNXLkSHXr1k3SpUQsODhYSUlJioyM1Pjx45WZmalvv/1WjRs3liQdOHBA7777rg4cOKCaNWsWejwSMAAAUOocPHhQBw4ccDzS09NdOl/dunXl4eGhyZMn6+jRo7pw4YIGDhwou92u7t27S5JWr14tT09PR/ElSUOGDJEkJSQkmBqPBAwAAJQ6ERERTs9jYmKUnJxc5PPZ7XatX79eMTExCgwMdLTNnz9fISEhkqRjx47J29vb6bgbb7xRkrR3715z4xV5pgAAAP8/qzfhp6SkKC0tzfFYunRpgfNq0aKFbDbbFR9z5sxRbm6uOnXqJB8fH7333nuaO3euwsPD1bNnT23bts1xPpvNVuA4l2u/HBIwAABQ6gQHB8vf3/+q/aZNm6bU1NQr9omOjtaECRN0+PBhpaWlOfZy9erVSx4eHhoxYoQSExNVtWpV7du3z+nYvOSrdu3apuZPAQYAAFx2vW7CDw0NVWho6FX75e0hK1cuf2mUm5srSWrTpo3WrVunbdu2qWHDhpKkSZMmSZJjn1hhsQQJAAD+8Xr37i2bzaZbb71VCQkJSkpKUtOmTXXx4kUNGDBAkjRixAiVL19erVq10oIFC/Tmm29qypQpql+/vqkrICUSMAAAUExK89cEhYaGKj4+XkOHDlWPHj1kGIZ8fX01ZswYR7rl4eGhNWvWqHPnzurZs6dsNpvq1aunb775xvR4FGAAAACS4uLiFBcXd8U+UVFROnLkiMtjUYABAACXXa97wK5X7AEDAACwGAkYAABwGQmYOSRgAAAAFiMBAwAALiMBM4cEDAAAwGIUYAAAABZjCRIAALiMJUhzSMAAAAAsRgIGAABcRgJmDgkYAACAxUjAAACAy0jAzCEBAwAAsBgJGAAAcBkJmDkkYAAAABYjAQMAAC4jATOHBAwAAMBiJGAAAMBlJGDmkIABAABYjAQMAAC4jATMHBIwAAAAi1GAAQAAWIwlSAAA4DKWIM0hAQMAALAYCRgAAHAZCZg5JGAAAAAWIwEDAAAuIwEzhwQMAADAYiRgAADAZSRg5pCAAQAAWIwEDAAAuIwEzBwSMAAAAIuRgAEAAJeRgJlDAgYAAGAxCjAAAACLsQQJAABcxhKkOSRgAAAAFiMBAwAAxaKspFNWIAEDAACwGAkYAABwGXvAzCEBAwAAsBgJGAAAcBkJmDkkYAAAABYjAQMAAC4jATOHBAwAAMBiJGAAAMBlJGDmkIABAABYjAIMAADAYixBAgAAl7EEaQ4JGAAAgMVIwAAAgMtIwMwhAQMAALAYCRgAAHAZCZg5JGAAAACSkpKSVL16ddntdtlsNvn7+2vixImO1xMSEhQSEqJy5crJZrOpfPny6tq1a5HGogADAAAuy0vArHiUlE6dOiknJ0cJCQlatWqVQkJCNGzYMO3YsUOStHLlSlWoUEETJkzQmjVr1L9/fy1atEgPPvig6bFYggQAAP94u3bt0sWLFzVy5Eh169ZN0qVELDg4WElJSYqMjNSsWbOcjmnRooW++eYbrV692vR4FGAAAMBlVu8BO3jwoNLT0x3t/v7+8vf3L/J569atKw8PD02ePFndu3eXv7+/Bg4cKLvdru7du1/2uIyMDPn4+JgejwIMAACUOhEREU7PY2JilJycXOTz2e12rV+/XjExMQoMDHS0zZ8/XyEhIQUeM336dO3bt0/jxo0zP16RZwoAAPD/s3oPWEpKitLS0hyPpUuXFjivFi1ayGazXfExZ84c5ebmqlOnTvLx8dF7772nuXPnKjw8XD179tS2bdvynXfJkiV67LHH1Lp1a40YMcL050UCBgAASp3g4OBCLTlOmzZNqampV+wTHR2tCRMm6PDhw0pLS1PNmjUlSb169ZKHh4dGjBihxMRER/+lS5eqS5cuioqKKtL+L4kCDAAAFIPr9T5goaGhCg0NvWq/vP1k5crlL41yc3Mdf16yZIm6dOmiJk2aaP369abm8lcsQQIAgH+83r17y2az6dZbb1VCQoKSkpLUtGlTXbx4UQMGDJD0/4qvkJAQzZw5Uzt27NCOHTu0c+dO0+ORgAEAgH+80NBQxcfHa+jQoerRo4cMw5Cvr6/GjBnjuAryrbfekmEY2rdvnxo0aOA41s3NTdnZ2abGowADAAAuu16XIM2Ii4tTXFzcZV935SrLv2MJEgAAwGIkYAAAwGVlIQGzEgkYAACAxUjAAACAy0jAzCEBAwAAsBgJGAAAcBkJmDkkYAAAABYjAQMAAC4jATOHBAwAAMBiJGAAAMBlJGDmkIABAABYjAIMAADAYixBAgCAYlFWlgetQAIGAABgMRIwAADgMjbhm0MCBgAAYDESMAAA4DISMHNIwAAAACxGAgYAAFxGAmYOCRgAAIDFSMAAAIDLSMDMIQEDAACwGAkYAABwGQmYOSRgAAAAFiMBAwAALiMBM4cEDAAAwGIUYAAAABZjCRIAALiMJUhzSMAAAAAsRgIGAABcRgJmDgkYAACAxUjAAACAy0jAzCEBAwAAsBgJGAAAcBkJmDkkYAAAABYjAQMAAC4jATOHBAwAAMBiJGAAAMBlJGDmkIABAABYjAIMAADAYixBAgAAl7EEaQ4JGAAAgMVIwAAAgMtIwMwhAQMAALAYCRgAAHAZCZg5JGAAAAAWIwEDAAAuIwEzhwQMAADAYiRgAADAZSRg5pCAAQAAWIwEDAAAuIwEzBwSMAAAAIuRgAEAgGJRVtIpK5CAAQAASEpKSlL16tVlt9tls9nk7++viRMnFtj3119/lZubm2w2m/bv3296LAowAAAASZ06dVJOTo4SEhK0atUqhYSEaNiwYdqxY0e+vs2bN1flypWLPBYFGAAAcFneJnwrHiVh165dunjxokaOHKlu3bqpbdu2SkpKkiTH/+Z5+OGHdf78eT333HNFHo8CDAAAlDoHDx7UgQMHHI/09HSXzle3bl15eHho8uTJOnr0qC5cuKCBAwfKbrere/fujn5Lly5VQkKCVq5cKTc3tyKPxyZ8AADgMqtvQxEREeHUHhMTo+Tk5CKf1263a/369YqJiVFgYKCjbf78+QoJCZEkpaen66GHHtLAgQMVFRWlTZs2FX28Ih8JAABwjaSkpCgtLc3xWLp0aYH9WrRoIZvNdsXHnDlzlJubq06dOsnHx0fvvfee5s6dq/DwcPXs2VPbtm2TJLVs2VJVq1bV//73P5fnTwIGAABcZnUCFhwcLH9//6v2nzZtmlJTU6/YJzo6WhMmTNDhw4eVlpammjVrSpJ69eolDw8PjRgxQomJiUpJSdGFCxdks9mcjq9du7aaN2+utWvXFvp9UIABAIAyKzQ0VKGhoVftl7eHrFy5/KVRbm6uJGn58uU6ffq0o/3zzz/XrFmzNG3aNN1xxx2m5kUBBgAAXFbav4qod+/eeu2113TrrbfqrbfeUkBAgF566SVdvHhRAwYMkCS1atXK6Zi8+3+1a9fOsU+ssNgDBgAA/vFCQ0MVHx+vzMxM9ejRQ+3bt9cvv/yiMWPGOF0FWVxIwAAAgMtKewImSXFxcYqLiyt0/6efflpPP/10kcYiAQMAALAYCRgAAHBZWUjArEQCBgAAYDEKMAAAAIuxBAkAAFzGEqQ5JGAAAAAWM12AbdmyRT/++KPj+ZIlS9S5c2e98MILysrKKtbJAQCA0iEvAbPiURaYLsAGDRqk3bt3S5L27NmjHj16yNvbW5988omGDx9e7BMEAAAoa0wXYLt371bDhg0lSZ988omaN2+u+fPnKz4+XgsXLizu+QEAgFKABMwc0wWYYRiOL6VcvXq1OnbsKEmqVauW/vzzz+KdHQAAQBlk+irIJk2a6NVXX1WbNm20du1a/e9//5Mk7d27V4GBgcU+QQAAcP3jKkhzTCdgkyZN0pYtW/TEE0/oxRdf1M033yxJ+vTTTxUdHV3sEwQAAChrTCdgkZGRTldB5nnzzTfl5uZWLJMCAAClCwmYOcV2I1ZPT8/iOhUAAECZVqgCrFKlStq9e7eqVKmiihUrymazXbbviRMnim1yAACgdCABM6dQBdhbb70lPz8/x5+vVIABAADgygpVgPXp08fx5759+5bUXAAAAP4RTF8F+f777xfYnp2dreeff97lCQEAgNKHG7GaY7oAGzZsmB544AGnvV6//PKLbrvtNiUkJBTr5AAAAMoi0wXY1q1bdeTIEdWvX19ffPGFpkyZosaNG6tevXratm1bCUwRAABc70jAzDF9G4obb7xRX3/9tYYMGaL27dvLzc1Nc+bMUY8ePUpifgAAAGWO6QRMkpYtW6YFCxYoOjpaFSpU0IwZM3To0KHinhsAACglSMDMMV2ADRo0SN27d9fw4cP19ddfa8eOHSpfvrzq16/PHjAAAIBCML0EuX79em3atEkNGjSQJAUFBWnFihWaMmWK+vfvr+7duxf7JAEAwPWNG7GaY7oA++GHH1S+fPl87Y8//rjatGlTLJMCAAAoy0wXYAUVX3lCQ0NdmgwAACidSMDMKdKXcX/66adKSEjQ77//rqysLKfXtmzZUiwTAwAAKKtMb8J/55131K9fP1WrVk1bt27VbbfdpsqVK2vPnj3q0KFDScwRAACUAlwBWXimC7D33ntP06dP1+TJk+Xh4aHhw4friy++0JNPPqnTp0+XxBwBAADKFNMF2O+//67o6GhJkpeXl86cOSNJio2N1YIFC4p3dgAAoFTgPmDmmC7AgoKCdPz4cUlSSEiINm7cKEnau3dvmflQAAAASpLpAqxVq1b6/PPPJUmPPPKIhgwZorZt2+qhhx5Sly5din2CAAAAZY3pqyCnT5+u3NxcSdJjjz2mSpUq6ZtvvlGnTp302GOPFfsEAQDA9Y/bUJhjugCz2+2y2/9fcNa9e3fufg8AAGBCke4DBgAA8FckYOaY3gMGAAAA15CAAQAAl5GAmUMCBgAAYLEi3Ybi1KlT+drT09PVqlWr4pgTAAAoZbgRqzmmC7Dk5OR8X8AtSRcuXNC6deuKZVIAAABlWaH3gO3YscPx55SUFB0+fNjxPCcnR4mJiQoODi7e2QEAgFKBPWDmFLoAa9iwoWw2m2w2W4FLjV5eXnr33XeLdXIAAABlUaELsLzverzpppv03XffqWrVqo7XPDw8VK1aNbm5uZXIJAEAwPWNBMycQhdgISEhkuT4GiIAAAAUjelN+LNnz9by5csdz4cPH64KFSooOjpa+/fvL9bJAQAAlEWmC7CxY8fKy8tLkrRhwwZNnjxZb7zxhqpUqaIhQ4YU+wQBAMD1j9tQmGP6TvhpaWm6+eabJUmLFy9Wt27dNHDgQN1xxx1q0aJFcc8PAACgzDGdgPn6+ur48eOSpFWrVqlNmzaSJE9PT50/f754ZwcAAEoFEjBzTCdgbdu21YABA9SoUSPt3r1b99xzjyTp559/Vu3atYt7fgAAAGWO6QRsypQpioqK0rFjx7Rw4UJVrlxZkvTDDz/o4YcfLvYJAgCA6x8JmDmmE7AKFSpo8uTJ+drHjBlTLBMCAAAo60wnYJdz7tw5ff3118V1OgAAUIqQgJlTbAXYr7/+qpYtWxbX6QAAAMqsYivAAADAP1dZSMCSkpJUvXp12e122Ww2+fv7a+LEifn6DRgwQF5eXrLZbHJzc1NkZKTpsQq9B6xSpUpXfD0nJ8f04AAAANeLTp06qUKFCkpISFBAQICGDh2qYcOGqU2bNo4i6/7779eyZcv02GOP6YEHHtCZM2f0/fffmx6r0AVYZmam/v3vf6t+/foFvr5//3424gMA8A9l1f6skhpj165dunjxokaOHKlu3bpJupSIBQcHKykpSZGRkdq7d6+WLl2qN954Q88++6zj2Pvvv9/0eIUuwBo2bKhatWqpT58+Bb6+fft2CjAAAGCJgwcPKj093fHc399f/v7+RT5f3bp15eHhocmTJ6t79+7y9/fXwIEDZbfb1b17d0nSO++8I+nSvvfy5csrOztbNWrU0KeffqpmzZqZGq/QBdg999yjU6dOXfb1SpUqKS4uztTgAACgbLA6AYuIiHBqj4mJUXJycpHPa7fbtX79esXExCgwMNDRNn/+fIWEhEiSdu7cKUmaPXu2Ro4cqcDAQA0fPlzNmzfX8ePH5evrW+jxCl2AvfDCC1d8vVatWpo1a1ahBwYAACiqlJQU+fn5OZ5fLv1q0aKF1q5de8VzzZ49W71791anTp3k4+Oj//u//5O/v7/GjRunnj17KjQ0VA0bNlRubq4kafTo0Xr++eclSXfccYciIiL09ttv68UXXyz0/E3fiBUAAOBaCw4OLtSS47Rp05SamnrFPtHR0ZowYYIOHz6stLQ01axZU5LUq1cveXh4aMSIEUpMTHS0530PtiSFh4fLZrNp165dpuZPAQYAAFx2vW7CDw0NVWho6FX75e0nK1cuf2mUl3w99NBDmjVrlpKTk9W0aVNJUmpqqgzDUHh4uKl5cR8wAADwj9e7d2/ZbDbdeuutSkhIUFJSkpo2baqLFy9qwIABkqR27dopKChIL7/8sqZNm6ZFixYpOjpa5cuX11NPPWVqPBIwAADgsus1ASus0NBQxcfHa+jQoerRo4cMw5Cvr6/GjBnjuApSkjZv3qxWrVrp3//+tyQpKChIa9eulbe3t6nxKMAAAAAkxcXFXfWODjVr1tTu3btdHosCDAAAuKy0J2BWK1QBVrFiRdlstkKd8MSJEy5NCAAAoKwrVAE2adIkx5+PHz+uV199Ve3atVNUVJQkacOGDUpKStLLL79cIpMEAADXv7KSTlmhUAXYX79+6IEHHtArr7yiJ554wtH25JNPavLkyVq9erWGDBlS/LMEAAAoQ0zfhiIpKUnt27fP196uXTutXr26WCYFAABKl7w9YFY8ygLTBVjlypW1aNGifO2LFy9W5cqVi2VSAAAAZZnpqyDHjBmjRx55RMnJyY49YBs3blRiYqJmzpxZ7BMEAADXP66CNMd0Ada3b1+Fh4frnXfe0WeffSbDMBQREaH169erWbNmJTFHAACAMqVI9wFr1qyZ5s2bV9xzAQAA+Eco0ndBpqam6qWXXlLPnj119OhRSVJiYqJ+/vnnYp0cAAAoHdiEb47pAmzt2rWqX7++Nm3apIULFyojI0OStGPHDo0aNarYJwgAAFDWmC7ARowYoVdffVVffPGFPDw8HO0tW7bUhg0binVyAACgdCABM8d0Afbjjz+qS5cu+dqrVq2q48ePF8ukAAAAyjLTBViFChX0xx9/5GvfunWrgoODi2VSAACgdCEBM8d0AdazZ08999xzOnz4sGw2m3Jzc7V+/Xo988wziouLK4k5AgAAlCmmC7DXXntNN9xwg4KDg5WRkaGIiAg1b95c0dHReumll0pijgAA4DpHAmaO6fuAubu7a968eXrllVe0detW5ebmqlGjRqpbt25JzA8AAKDMKdKNWCWpTp06qlOnTnHOBQAAlFJ8FZE5pgswwzD06aefas2aNTp69Khyc3OdXv/ss8+KbXIAAABlkekC7KmnntL06dPVsmVLBQYGymazlcS8AABAKUICZo7pAmzu3Ln67LPP1LFjx5KYDwAAQJlnugALCAjQTTfdVBJzAQAApRQJmDmmb0MxevRojRkzRufPny+J+QAAAJR5phOwBx98UAsWLFC1atVUu3Ztubu7O72+ZcuWYpscAABAWWS6AOvbt69++OEH9e7dm034AABAEkuQZpkuwJYvX66kpCTdeeedJTEfAACAMs90AVarVi35+/uXxFwAAEApRQJmjulN+BMmTNDw4cO1b9++EpgOAABA2Wc6Aevdu7fOnTunOnXqyNvbO98m/BMnThTb5AAAQOlAAmaO6QJs0qRJJTANAACAfw7TBVifPn1KYh4AAKAUIwEzx3QB9lfnz5/XxYsXndrYoA8AAHBlpguws2fP6rnnnlNCQoKOHz+e7/WcnJximRgAACg9SMDMMX0V5PDhw/XVV1/pvffeU/ny5TVz5kyNGTNGNWrU0Jw5c0pijgAAAGWK6QTs888/15w5c9SiRQv1799fd911l26++WaFhIRo3rx56tWrV0nMEwAAXMdIwMwxnYCdOHFCN954o6RL+73ybjtx55136uuvvy7e2QEAAJRBpguwm266yXET1oiICCUkJEi6lIxVqFChOOcGAABQJpleguzXr5+2b9+umJgYPf/887rnnnv07rvvKjs7WxMnTiyJOQIAgOscS5DmmC7AhgwZ4vhzy5Yt9csvv+j7779XnTp11KBBg2KdHAAAQFnk0n3AJOmGG27QDTfcUBxzAQAApRQJmDlFKsC+/PJLffnllzp69Khyc3OdXvvggw+KZWIAAABllekCbMyYMXrllVfUpEkTVa9eXTabrSTmBQAASpmykk5ZwXQBNnXqVMXHxys2NrYk5gMAAFDmmS7AsrKyFB0dXRJzAQAApRR7wMwxfR+wAQMGaP78+SUxFwAAgH8E0wnYhQsXNH36dK1evVqRkZFyd3d3ep17gQEA8M9DAmaO6QJsx44datiwoSTpp59+cnqNDfkAAABXZ7oAW7NmTUnMAwAAlGIkYOaY3gMGAAAA15hOwM6ePavx48df9kase/bsKbbJAQAAlEWmC7ABAwZo7dq1io2N5UasAABAEkuQZpkuwFauXKnly5frjjvuKIn5AAAAlHmmC7CKFSuqUqVKJTEXAABQSpGAmWN6E/5///tfjRw5UufOnSuJ+QAAAFwTSUlJql69uux2u2w2m/z9/fPd33T27NmqVKmSbDab7Ha7KleurI8//tj0WKYLsAkTJigpKUmBgYGqX7++Gjdu7PQAAAD/PHkJmBWPktKpUyfl5OQoISFBq1atUkhIiIYNG6YdO3ZIkg4dOqR+/fqpcuXKWrFihRYtWiQvLy89/PDDpoMp00uQnTt3NnsIAADAdW3Xrl26ePGiRo4cqW7dukm6lIgFBwcrKSlJkZGRWr16tQzD0Ny5c9WsWTNJUnZ2trp166aNGzeqVatWhR7PdAE2atQos4cAAIAyzuo9YAcPHlR6erqj3d/fX/7+/kU+b926deXh4aHJkyere/fu8vf318CBA2W329W9e3dJUps2bWSz2fTcc89p2bJlysrK0quvvqry5csrOjra1HimCzAAAIBrLSIiwul5TEyMkpOTi3w+u92u9evXKyYmRoGBgY62+fPnKyQkRJJUo0YNLVq0SN26dZOfn58kycPDQ8nJyfL09DQ3npmJubm55XtUrFhRt99+uz777DNTAwMAgLLD6j1gKSkpSktLczyWLl1a4LxatGghm812xcecOXOUm5urTp06ycfHR++9957mzp2r8PBw9ezZU9u2bZMknThxQr169dINN9yg+Ph4zZgxQ1WrVlXLli114sQJU59XoROwRYsWFdh+6tQpfffdd+rdu7dmz56tBx980NQEAAAAzAoODi7UkuO0adOUmpp6xT7R0dGaMGGCDh8+rLS0NNWsWVOS1KtXL3l4eGjEiBFKTEzU0KFDde7cOe3atUvlyl0qoXr06CE/Pz+NHj1a77zzTqHnX+gC7P7777/sa3369FFERIT+7//+jwIMAIB/oOv1PmChoaEKDQ29ar+8/WR5hdVf5X3tYkZGhuP2E3ny+ufk5JiaV7F9Gffdd9+t3bt3F9fpAAAALNO7d2/ZbDbdeuutSkhIUFJSkpo2baqLFy9qwIABkqT+/fsrNzdXkZGRWrZsmZYsWeLYi/boo4+aGq/YNuGfP3/e9AY0AABQNlyvCVhhhYaGKj4+XkOHDlWPHj1kGIZ8fX01ZswYx1WQHTt21Lhx4zR27Fh16tRJNptNFSpU0IwZM9SwYUNT4xVbATZjxgw1atSouE4HAABgqbi4OMXFxV2xz4gRIzRixAiXxyp0ATZ06NAC20+fPq3vv/9eqampWrduncsTAgAAKOsKXYBt3bq1wHZ/f3+1b99egwcPdtwnAwAA/LOU9iVIqxW6AFuzZk1JzgMAAOAfgzvhAwAAl5GAmVNst6EAAABA4ZCAAQAAl5GAmUMCBgAAYDESMAAA4DISMHNIwAAAACxGAgYAAFxGAmYOCRgAAIDFSMAAAIDLSMDMIQEDAACwGAUYAACAxViCBAAALmMJ0hwSMAAAAIuRgAEAgGJRVtIpK5CAAQAAWIwEDAAAuIw9YOaQgAEAAFiMBAwAALiMBMwcEjAAAACLkYABAACXkYCZQwIGAABgMRIwAADgMhIwc0jAAAAALEYCBgAAXEYCZg4JGAAAgMUowAAAACzGEiQAAHAZS5DmkIABAABYjAQMAAC4jATMHBIwAAAAi5GAAQAAl5GAmUMCBgAAYDESMAAA4DISMHNIwAAAACxGAgYAAFxGAmYOCRgAAIDFSMAAAIDLSMDMIQEDAACwGAUYAACAxViCBAAALmMJ0hwSMAAAAIuRgAEAAJeRgJlDAgYAAGAxEjAAAOAyEjBzSMAAAAAsRgIGAABcRgJmDgkYAACAxUjAAACAy0jAzCEBAwAAsBgJGAAAcBkJmDkkYAAAAJLmzZunypUry2azyW63Kzw8XIcPH3bqs2HDBgUGBjr6NGjQQBkZGabHogADAAAuy0vArHiUhC1btig2NlZBQUFasWKFZs2apYMHD6pJkyaOPllZWWrZsqWysrI0f/58jR8/Xj/99JOio6NNj8cSJAAA+MebOHGiJGn79u0qV+5SeeTp6akePXroyy+/VOvWrTV+/HhlZmbq22+/VePGjSVJBw4c0LvvvqsDBw6oZs2ahR6PBAwAAJQ6Bw8e1IEDBxyP9PR0l8534cIF2e12R/ElSf7+/pKkBQsWSJJWr14tT09PR/ElSUOGDJEkJSQkmBqPAgwAABQLK5cfIyIiVKtWLcfjvvvuc2nusbGxysnJ0T333KOMjAzt3btXAwYMkCSlpaVJko4dOyZvb2+n42688UZJ0t69e02NxxIkAAAodVJSUuTn5+d4npdW/V2LFi20du3aK55r9uzZiouL0+DBgzV16lTHeZs0aaLDhw/Lzc3N0ddmsxV4jsu1Xw4FGAAAcJnVt6EIDg6+bNH1V9OmTVNqauoV++Rtop8yZYqmTJmin376SVWqVJHdbldgYKDCwsIkSVWrVtW+ffucjs1LvmrXrm3qfVCAAQCAMis0NFShoaGmjqlXr54kqV+/fpKkp556SpLUpk0brVu3Ttu2bVPDhg0lSZMmTZIkde/e3dQYFGAAAMBlZeFGrA8++KA6d+6sKlWq6P3339cnn3yirl27KiQkRJI0YsQIjR07Vq1atdKUKVN04MABTZkyRfXr1zd1BaREAQYAACDp0r3AFi5cKMMw5OnpqUGDBmnq1KmO1z08PLRmzRp17txZPXv2lM1mU7169fTNN9+YHosCDAAAuKwsJGBX2ysmSVFRUTpy5IjLY3EbCgAAAIuRgAEAAJeVhQTMSiRgAAAAFiMBAwAALiMBM4cEDAAAwGIUYAAAABZjCRIAALiMJUhzSMAAAAAsRgIGAABcRgJmDgkYAACAxUjAAACAy0jAzCEBAwAAsBgJGAAAcBkJmDkkYAAAABYjAQMAAC4jATOHBAwAAMBiJGAAAMBlJGDmkIABAABYjAIMAADAYixBAgAAl7EEaQ4JGAAAgMVIwAAAgMtIwMwhAQMAALAYCRgAAHAZCZg5JGAAAAAWIwEDAAAuIwEzhwQMAADAYiRgAADAZSRg5pCAAQAAWIwEDAAAuIwEzBwSMAAAAIuRgAEAgGJRVtIpK5CAAQAAWIwCDAAAwGIsQQIAAJexCd8cEjAAAACLkYABAACXkYCZQwIGAABgMRIwAADgMhIwc0jAAAAALEYCBgAAXEYCZg4JGAAAgMVIwAAAgMtIwMwhAQMAALAYCRgAAHAZCZg5JGAAAAAWowADAACwGEuQAADAZSxBmkMCBgAAYDESMAAA4DISMHNIwAAAACxGAgYAAFxGAmYOCRgAAIDFKMAAAIDL8hIwKx4lZd68eapcubJsNpvsdrvCw8N1+PBhx+sJCQkKCQlRuXLlZLPZVL58eXXt2rVIY1GAAQCAf7wtW7YoNjZWQUFBWrFihWbNmqWDBw+qSZMmjj4rV65UhQoVNGHCBK1Zs0b9+/fXokWL9OCDD5oejz1gAADAZVbvATt48KDS09Md7f7+/vL39y/yeSdOnChJ2r59u8qVu1QeeXp6qkePHvryyy/VunVrzZo1y+mYFi1a6JtvvtHq1atNj0cCBgAASp2IiAjVqlXL8bjvvvtcOt+FCxdkt9sdxZckR0G3YMGCyx6XkZEhHx8f0+ORgAEAAJdZnYClpKTIz8/P0e5K+iVJsbGxWrhwoe655x59/PHHOnbsmAYMGCBJSktLK/CY6dOna9++fRo3bpzp8UjAAABAqRMcHKyaNWs6HpcrwFq0aCGbzXbFx5w5c3T//fdr8ODBSkxMlJ+fn2666SbVqFFDdrtdbm5u+c67ZMkSPfbYY2rdurVGjBhhev4kYAAAwGXX633Apk2bptTU1Cv2iY6OliRNmTJFU6ZM0U8//aQqVarIbrcrMDBQYWFhTv2XLl2qLl26KCoqqkj7vyQKMAAAUIaFhoYqNDTU1DH16tWTJPXr10+S9NRTTzleW7Jkibp06aImTZpo/fr1RZ4XBRgAAICkBx98UJ07d1aVKlX0/vvv65NPPlHXrl0VEhIi6f8VXyEhIZo5c6Z27NghSXJ3d1d4eLipsSjAAACAy67XJUgztmzZooULF8owDHl6emrQoEGaOnWq4/W33npLhmFo3759atCggaPdzc1N2dnZpsaiAAMAAJCuulcsOTm52MaiAAMAAC4rCwmYlbgNBQAAgMVIwAAAgMtIwMwhAQMAALAYCRgAAHAZCZg5JGAAAAAWIwEDAADFoqykU1YgAQMAALAYCdh1qE+fPjp8+LCSkpJMHXfvvfcqIiJCXl5emjp1qtq3b1+k85hV1PkCAMoO9oCZUyoLsCZNmig6Olp+fn46evSokpKS9PvvvxfY984771RYWJiqVKmi7OxspaWlafXq1Tp+/LjFsy5ZN998sxo2bKj4+HidPHlS586d08cff6zc3NxrPTUAAPA3pW4J8l//+pfat2+vdevWadq0afr999/Vq1cv+fv7F9g/JCREmzdv1vvvv68PP/xQdrtdvXv3lru7u+mxPT09i3ScFSpWrKgzZ87owIEDOnv2rAzD0IULF5SVlWX5XHx9fWWz2SwfFwCA0qLUJWC33367tm7dqq1bt0qSkpKSVKdOHTVt2lRffvllvv7z5s1zer5kyRI9++yzql69+mVTs7+y2Wy6+eab1aBBA4WGhmrmzJk6cuSIJOmpp57Sxo0btWnTJkf/QYMG6ZdfftHatWslXVqeO3LkiLKzs9W4cWPl5OTo+++/d7zu7u6ue+65R+Hh4crMzNSGDRsKnEd0dLSaNGkiX19fHT9+XF9//bV27twpSbr//vvVsGFDSdKoUaN06tQpvf32205Lg1ebR2HGKex8b731VjVp0kQ//vijtm3bpqNHj171cwYAlG4sQZpTqgowu92uGjVqaP369U7te/bsUc2aNQt1jvLly0uSzp8/f8V+1apVU4MGDRQZGSm73a6UlBTNnj3bUXyZ0aBBA23cuFEzZ85UzZo11blzZ6WlpWnPnj1q27atateurY8//lgZGRlq1aqVqlevrsOHDzuOb9WqlcLCwrR8+XIdP35cISEh6tq1q+bOnav9+/crMTFRJ0+eVOPGjTVjxozL/nJeaR6FGUdSoeb7zTff6NixY2rQoIEGDhyoo0ePavv27frxxx917tw5058fAABlTakqwLy9vWW325WRkeHUnpGRoTp16hTqHO3atdP+/ft17NixfK95eXmpfv36atiwoapWrarffvtNy5cv1+7du13aS3XkyBFH0nTixAnddtttuvHGG5WWlqZGjRpp8eLFjiJo8eLFGjp0qONYd3d33X777ZozZ44OHDggSTp16pRuuOEG3Xrrrdq/f78yMzOVmZkpwzB09uxZ0/PYs2dPocZxd3e/6nwlKScnRykpKUpJSZG3t7fq16+vBg0aqG3btvr111+1fft27dq1q8z8VwwAgATMrFJVgF1OYfcbdezYUYGBgfrggw8KfP22225TixYttH//fr377rtKT08vlvn9fQnuzJkz8vHxUaVKlVSuXDmlpaU5Xrtw4YL+/PNPx/OqVavK3d1dsbGxTudwc3PTH3/8USzzKOw4hZnv3507d06bNm3Spk2bdPPNN+v+++9XWFiYpk6dWqQ0EQCAsqBUFWDnzp1Tbm6ufH19ndp9fHzypWJ/16FDB91yyy2Kj4/XmTNnCuzzww8/KDc3Vw0aNNDgwYO1c+dO7dixQ3v37i2wv2EY+Yo/uz3/dQ05OTn52gpbNOb1mz9/fr6CsKDzXsmV5lGc4/yVh4eHIiIiFBkZqZCQEO3bt09ffPFFgQkkAKD0IgEzp1QVYLm5uTp06JBuuukm/fLLL472m266Sbt27brscR06dFBYWJhmz56tU6dOXbZfRkaG1q1bp3Xr1qlmzZpq2LChunfvrszMTP3444/asWOHU+Fw9uxZp2LQw8NDFStWLPT7OXHihHJyclSzZk2lpKRIunSlZeXKlR17ro4dO6bs7GwFBAQ42kpCYcYpzHylS8VcnTp1FBkZqbCwMKWnp2v79u1avHhxsaWKAACUZqWqAJOkjRs3qkuXLjp06JAOHDigW2+9VQEBAfr+++8lSU2bNlVYWJg+/PBDSZeWHevXr6+PPvpImZmZjiW3zMxMZWdnX3acAwcO6MCBA1q5cqXCwsLUoEEDPfbYY5o2bZpjKW/fvn1q0KCBdu/erfPnz6tly5am9opdvHhRW7duVdu2bXX+/HnHpva/VvdZWVn69ttv1a5dO9lsNv3+++8qX768atWqpaysLG3fvt30Z1iQwoxTmPlK0l133aWoqCj9/PPPTnvKAABlFwmYOaWuAPv555/l5eWlmJgY+fr66ujRo5o3b55Onz4t6dJG/UqVKjn6N23aVJLUt29fp/MsXry4UMVLTk6Ofv75Z/3888/y9fV1uq/WunXrVKFCBT388MPKzMzUmjVrTCVgkrRq1Sq5u7urR48eysrK0oYNG+Tp6enUZ82aNTp79qzuvPNOVaxYURcuXNAff/yhdevWmRrragozTmHmu337dq1fv96lpUsAAMoym3ENSsn09HS99dZbVg8LAMA/wpAhQy57g/Lilp6eroCAANWsWbPAfdDFLTc3VwcOHNDp06cte48lodTdCR8AAKC0K3VLkAAA4PrDHjBzylwB9uijj+a7TQWslZGRoRkzZlzraQAAcN0qcwWYr69vqV4TBgCgNCIBM6fMFWBXuyErSh4/AwAArqzMFWAsfQEAgOtdmSvAAACA9ViCNIfbUAAAAFiMBAwAALiMBMwcEjAAAACLkYABAACXkYCZQwIGAABgMRIwAADgMhIwc0jAAAAALEYCBgAAXEYCZg4JGAAAgMVIwAAAgMtIwMwhAQMAALAYBRgAAIDFWIIEAAAuYwnSHBIwAAAAi5GAAQAAl5GAmUMCBgAAYDESMAAA4DISMHNIwAAAACx2TRKwslK9AgBwPbpW/87y73vh2Yxr8GkdOHBAtWrVsnpYAAD+EdLS0lSzZk1LxkpPT1dAQIAqVqwom81W4uMZhqGTJ0/q9OnT8vf3L/HxSso1ScBq1KihtLQ0+fn5WfLDAgDgn8AwDJ05c0Y1atS4JmOXpXFK2jUpwOx2u2WVOQAA/yQBAQHXegooBK6CBAAALiMBM4erIAEAACxGAQYAAGAxliABAIDLWII0hwQMwFXFx8erQoUKJXLuFi1a6Omnny6Rc1+P4wK4fs2bN0+VK1eWzWaT3W5XeHi4Dh8+XGDfX3/9VW5ubrLZbNq/f7/psSjAgEK63D/Yixcv5nYqkk6ePKnY2FgFBAQoICBAsbGxOnXqlOP15ORk2Ww2p7Zr6bPPPtN///vfaz0NoMzI+yoiKx4lYcuWLYqNjVVQUJBWrFihWbNm6eDBg2rSpEmB/Zs3b67KlSsXeTyWIAEUi549e+rAgQNKTEyUJA0cOFCxsbH6/PPPr/HMClapUqVrPQUALjh48KDS09Mdz/39/V26MevEiRMlSdu3b1e5cpfKI09PT/Xo0UNffvmlWrdu7ej78MMP6/z583r55Zf1zDPPFGk8EjCgmI0ePVoNGzbUhx9+qNq1aysgIEA9evTQmTNnHH1atGihJ598UsOHD1elSpUUFBSk0aNHO51n4sSJql+/vnx8fFSrVi0NHjxYGRkZjtfzlgWXLVum0NBQeXt7q1u3bjp79qxmz56t2rVrq2LFivrPf/6jnJwcx3FZWVkaPny4goOD5ePjo2bNmik5Odlp7Pj4eN1www3y9vZWly5ddPz48Su+5507dyoxMVEzZ85UVFSUoqKiNGPGDC1btky7du3Svn371LJlS0ly3C27b9++juNzc3Ov+Fn83ebNm9W2bVtVqVJFAQEBiomJ0ZYtWxyvJycny8PDQ+vWrXO0TZgwQVWqVNEff/zh+Bn8NdF87733VLduXXl6eiowMFDdunW74hwAOLM6AYuIiFCtWrUcj/vuu8+l+V+4cEF2u91RfElyFHQLFixwtC1dulQJCQlauXKl3NzcijweBRhQAlJTU7V48WItW7ZMy5Yt09q1azV+/HinPrNnz5aPj482bdqkN954Q6+88oq++OILx+t2u13vvPOOfvrpJ82ePVtfffWVhg8f7nSOc+fO6Z133tFHH32kxMREJScnq2vXrlqxYoVWrFihDz/8UNOnT9enn37qOKZfv35av369PvroI+3YsUMPPvig2rdvr19//VWStGnTJvXv31+DBw/Wtm3b1LJlS7366qtXfL8bNmxQQECAmjVr5mi7/fbbFRAQoG+//Va1atXSwoULJUm7du3SH3/8obfffrvQn8XfnTlzRn369NG6deu0ceNG1a1bVx07dnQUuXnFVWxsrE6fPq3t27frxRdf1IwZM1S9evV85/v+++/15JNP6pVXXtGuXbuUmJio5s2bX/E9A7i2UlJSlJaW5ngsXbrUpfPFxsYqJydH99xzjzIyMrR3714NGDBA0qWvdpIufe3SQw89pIEDByoqKsq1N2AAKJSYmBjjqaeeyte+aNEi46//Vxo1apTh7e1tpKenO9qeffZZo1mzZk7nuvPOO53O07RpU+O555677PgJCQlG5cqVHc9nzZplSDJ+++03R9ugQYMMb29v48yZM462du3aGYMGDTIMwzB+++03w2azGQcPHnQ6d+vWrY3nn3/eMAzDePjhh4327ds7vf7QQw8ZAQEBl53ba6+9ZtStWzdfe926dY2xY8cahmEYa9asMSQZJ0+edOpTlM/i77Kzsw0/Pz/j888/d7RlZmYajRo1Mrp3727861//MgYMGJBv3Lyf58KFCw1/f3+nnxmAwjl9+rQhyfDx8TF8fX1L/OHj42NIMk6fPl2o+cXExBiSrviYPXu2YRiGMXjwYMNutzvamzRpYtjtdqNDhw6GYRhG48aNjVq1ajnO/dZbbxmSjH379pn+3NgDBpSA2rVry8/Pz/G8evXqOnr0qFOfyMhIp+d/77NmzRqNHTtWKSkpSk9PV3Z2ti5cuKCzZ8/Kx8dHkuTt7a06deo4jgkMDFTt2rXl6+vr1JZ33i1btsgwDN1yyy1OY2dmZjo2k+7cuVNdunRxej0qKsqxt+tyCroQwTCMQl2gcLXP4u+OHj2qkSNH6quvvtKRI0eUk5Ojc+fO6ffff3f08fDw0Ny5cxUZGamQkBBNmjTpsudr27atQkJCdNNNN6l9+/Zq3769unTpIm9v76vOHcD1bdq0aUpNTb1in+joaEnSlClTNGXKFP3000+qUqWK7Ha7AgMDFRYWJulS6nbhwoV8f6/Vrl1bzZs319q1aws9LwowoJD8/f11+vTpfO2nTp3Kt/HT3d3d6bnNZlNubm6h++zfv18dO3bUY489pv/+97+qVKmSvvnmGz3yyCO6ePHiFc9xpfPm5ubKzc1NP/zwQ769C3lFm1GEK4yCgoJ05MiRfO3Hjh1TYGDgVY8vzOf1V3379tWxY8c0adIkhYSEqHz58oqKilJWVpZTv2+//VaSdOLECZ04ccJRuP6dn5+ftmzZouTkZK1atUojR47U6NGjtXnz5hK7/QZQ1hTl7w4rxgkNDVVoaKipY+rVqyfp0pYNSXrqqackScuXL3f6d+Dzzz/XrFmzNG3aNN1xxx2mxqAAAwopLCxMK1euzNe+efNm0//nvprvv/9e2dnZmjBhguz2S1s1ExISXD5vo0aNlJOTo6NHj+quu+4qsE9ERIQ2btzo1Pb3538XFRWl06dP67vvvtNtt90m6dJestOnTzv+y9LDw0OSnC4IKKp169bpvffeU8eOHSVd2p/x559/OvVJTU3VkCFDNGPGDCUkJCguLk5ffvml4/P8u3LlyqlNmzZq06aNRo0apQoVKuirr75S165dXZ4vgNLhwQcfVOfOnVWlShW9//77+uSTT9S1a1eFhIRIklq1auXUP+/+X+3atXP0KSwKMKCQBg8erMmTJ+vxxx/XwIED5eXlpS+++ELvv/++Pvzww2Idq06dOsrOzta7776rTp06af369Zo6darL573lllvUq1cvxcXFacKECWrUqJH+/PNPffXVV6pfv746duyoJ598UtHR0XrjjTfUuXNnrVq16qrLj+Hh4Wrfvr0effRRTZs2TdKl21Dce++9juI0JCRENptNy5YtU8eOHeXl5eW0VGrGzTffrA8//FBNmjRRenq6nn32WXl5eTlez8nJUWxsrO6++27169dPHTp0UP369TVhwgQ9++yz+c63bNky7dmzR82bN1fFihW1YsUK5ebmFnthDZRl12sCZsaWLVu0cOFCGYYhT09PDRo0qFj+7i0IV0EChVS7dm2tW7dOqampuvvuu9W0aVPFx8crPj5eDz74YLGO1bBhQ02cOFGvv/666tWrp3nz5mncuHHFcu5Zs2YpLi5Ow4YNU2hoqO677z5t2rRJtWrVknTp6sWZM2fq3XffVcOGDbVq1Sq99NJLVz3vvHnzVL9+fd199926++67FRkZ6VSYBgcHa8yYMRoxYoQCAwP1xBNPFPk9fPDBBzp58qQaNWqk2NhYPfnkk6pWrZrj9ddee0379u3T9OnTJV1aIp05c6Zeeuklbdu2Ld/5KlSooM8++0ytWrVSeHi4pk6dqgULFuhf//pXkecIoPRJTU1Vbm6uDMPQ+fPnr1p8Pf300zIMw3T6JUk2w6qSFQAAlDnp6ekKCAiQp6enJd8KYhiGLly4oNOnT7t049VrjQQMAADAYhRgAAAAFmMTPgAAcFlZ2IRvJRIwAAAAi5GAAQAAl5GAmUMCBgAAYDESMAAA4DISMHNIwAAAACxGAgYAAFxGAmYOCRgAAIDFSMAAAIDLSMDMIQEDAACwGAkYAABwGQmYOSRgAAAAFqMAAwAAsBhLkAAAwGUsQZpDAgYAAGAxEjAAAOAyEjBzSMAAAAAsRgIGAACKRVlJp6xAAgYAAGAxCjAAAFBkHh4eCgoKsnTMoKAgeXh4WDpmcbMZ5IUAAMAFFy5cUFZWlmXjeXh4yNPT07LxSgIFGAAAgMVYggQAALAYBRgAAIDFKMAAAAAsRgEGAABgMQowAAAAi1GAAQAAWIwCDAAAwGL/H3/HVTwwoc71AAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 640x581.818 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ri.damp_low_q_region_erfc(offset=4)\n",
    "ri.plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "If the function ends up overdamped, you can simply reacquire the reduced intensity using:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "ri = rigen.get_reduced_intensity()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<a id='pdf'></a> "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 5. Acquiring a PDF"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Finally, a PDF is acquired from the damped reduced intensity. This is done by a fourier sine transform. \n",
    "To ignore parts of the scattering data that are too noisy, you can set a minimum and maximum scattering angle for the transform.\n",
    "\n",
    "First, we initialise a PDFGenerator1D object."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/carterfrancis/mambaforge/envs/pyxem-demos/lib/python3.11/site-packages/pyxem/generators/pdf_generator1d.py:39: VisibleDeprecationWarning: Function `__init__()` is deprecated and will be removed in version 1.0.0. Use `pyxem.signals.diffraction2d.get_pdf()` instead.\n",
      "  since=\"0.15\",\n"
     ]
    }
   ],
   "source": [
    "pdfgen = pxm.generators.PDFGenerator1D(ri)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Secify a minimum and maximum scattering angle. The maximum must be equivalent to the Lorch function s_max if the Lorch function is used to damp. Otherwise the Lorch function damping can cause artifact in the PDF."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "s_min = 0.\n",
    "s_max = 4."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Finally we get the PDF. r_max specifies the maximum real space distance we want to interpret."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/carterfrancis/mambaforge/envs/pyxem-demos/lib/python3.11/site-packages/pyxem/generators/pdf_generator1d.py:47: VisibleDeprecationWarning: Function `get_pdf()` is deprecated and will be removed in version 1.0.0. Use `pyxem.signals.diffraction2d.get_pdf()` instead.\n",
      "  since=\"0.15\",\n"
     ]
    }
   ],
   "source": [
    "pdf = pdfgen.get_pdf(s_min=s_min, s_max=s_max, r_max=10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "tags": [
     "nbsphinx-thumbnail"
    ]
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x581.818 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pdf.plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The PDF can then be saved."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "pdf.save('Demo-PDF.hspy')"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "pyxem-demos",
   "language": "python",
   "name": "pyxem-demos"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}