notebooks/beam_analytic_sol.ipynb

{
 "cells": [
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Analytical solution for a cantilever beam with a single load at the end\n",
    "\n",
    "© 2023 Daniel F. Ruiz, Exneyder A. Montoya-Araque and Universidad EAFIT.\n",
    "\n",
    "This notebook can be interactively run in [Google - Colab](https://colab.research.google.com/github/AppliedMechanics-EAFIT/EAFIT_solid_mechanics/blob/main/notebooks/beam_analytic_sol.ipynb).\n",
    "\n",
    "> Note: Be aware that this notebook follows solid mechanics sign conventions → Tractions are positive, compressions are negative, and shear forces/stresses are positive when they act on the positive $x$-plane and point to the positive $y$-direction.\n"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Required modules and global setup for plots"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib as mpl\n",
    "from ipywidgets import widgets as wgt\n",
    "import sympy as sym\n",
    "from IPython import get_ipython\n",
    "from ipywidgets import interact, widgets, FloatSlider, FloatText, fixed\n",
    "# from ipywidgets.widgets import *\n",
    "from IPython.display import display, clear_output\n",
    "\n",
    "if 'google.colab' in str(get_ipython()):\n",
    "    %pip install ipympl &> ~/pip-log.txt\n",
    "    from google.colab import output\n",
    "    output.enable_custom_widget_manager()\n",
    "\n",
    "%matplotlib widget\n",
    "\n",
    "plt.style.use(\"default\")\n",
    "mpl.rcParams.update(\n",
    "    {\n",
    "        'figure.constrained_layout.use': True,\n",
    "        'interactive': False,\n",
    "        \"text.usetex\": False,  # Use mathtext, not LaTeX\n",
    "        \"font.family\": \"cmr10\",  # Use the Computer modern font\n",
    "        \"mathtext.fontset\": \"cm\",\n",
    "        \"axes.formatter.use_mathtext\": True,\n",
    "        \"axes.unicode_minus\": False,\n",
    "    }\n",
    ")\n",
    "html_setup = '<style> div.jupyter-widgets.widget-label {display: none;} </style>'"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Functions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "def beam_stress_fields(x, y, load, h, l):\n",
    "    b = 1\n",
    "    moi = b * h**3 / 12  # Moment of inertia\n",
    "    # Stress field\n",
    "    𝜎_xx = - x * y * load / moi\n",
    "    𝜎_yy, 𝜎_zz, 𝜏_xz = 0*𝜎_xx, 0*𝜎_xx, 0*𝜎_xx\n",
    "    𝜏_xy = -(h ** 2 / 4 - y**2) * load / (2 * moi)\n",
    "    𝜏_yx = 𝜏_xy\n",
    "    #Principal stresses\n",
    "    𝜎_m = (𝜎_xx + 𝜎_yy) / 2\n",
    "    𝜏_max = np.sqrt(((𝜎_xx - 𝜎_yy) / 2) ** 2 + 𝜏_xy ** 2)\n",
    "    𝜎_1 = 𝜎_m + 𝜏_max\n",
    "    𝜎_3 = 𝜎_m - 𝜏_max\n",
    "    # return 𝜎_xx , 𝜎_yy , 𝜏_xy , 𝜎_1 , 𝜎_3 , 𝜎_m, 𝜏_max\n",
    "    stress_fields = {\n",
    "        \"𝜎_xx\": 𝜎_xx,\n",
    "        \"𝜎_yy\": 𝜎_yy,\n",
    "        \"𝜏_xy\": 𝜏_xy,\n",
    "        \"𝜎_1\": 𝜎_1,\n",
    "        \"𝜎_3\": 𝜎_3,\n",
    "        \"𝜎_m\": 𝜎_m,\n",
    "        \"𝜏_max\": 𝜏_max,\n",
    "    }\n",
    "    return stress_fields\n",
    "\n",
    "def dict_values_to_numpy(dictionary):\n",
    "    return np.array(list(dictionary.values()))\n",
    "\n",
    "def round_dict(dictionary, decimals=2):\n",
    "    return {key: np.round(val, decimals) for key, val in dictionary.items()}\n",
    "\n",
    "def stress_at_a_value(x, y, load, h, l, field):\n",
    "    stress = beam_stress_fields(x, y, load, h, l)[field]\n",
    "    print(f'{field} at ({x}, {y}) is {stress:.2f} Pa')\n",
    "    return\n",
    "\n",
    "def plot_field(x, y, fields, **kwargs):\n",
    "    figsize = kwargs.get('figsize')\n",
    "    # Figure\n",
    "    fields = fields if isinstance(fields, list) else [fields]\n",
    "    titles = kwargs.get('titles')\n",
    "    if titles is None:\n",
    "        titles = [f'Field {i}' for i in range(len(fields))]\n",
    "    else:\n",
    "        titles = titles if isinstance(titles, list) else [titles]\n",
    "    fig, axs = plt.subplots(ncols=1, nrows=len(fields), figsize=figsize)\n",
    "    axs = axs if len(fields)>1 else [axs]\n",
    "    for ax, field, title in zip(axs, fields, titles):\n",
    "        im = ax.contourf(x, y, field, cmap=\"RdYlBu_r\", origin='image')\n",
    "        # ax.axis('image')\n",
    "        ax.set_title(title)\n",
    "        fig.colorbar(im, ax=ax, shrink=0.7)\n",
    "    plt.show()\n",
    "    display(wgt.HTML(html_setup))\n",
    "    plt.close()"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Global inputs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Input data - Beam geometry and load\n",
    "load = -1\n",
    "h = 1\n",
    "l = 5"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Showing the tensor at one point"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(𝜎, 𝜎_eig) =\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "(Matrix([\n",
       " [18.0, 0.96],\n",
       " [0.96,    0]]),\n",
       " Matrix([\n",
       " [18.05,     0],\n",
       " [    0, -0.05]]))"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Coordinates of the point of interest\n",
    "x, y = 5, 0.3\n",
    "\n",
    "# Getting stress fields\n",
    "stress_fields = beam_stress_fields(x, y, load, h, l)\n",
    "𝜎_xx , 𝜎_yy , 𝜏_xy , 𝜎_1 , 𝜎_3 , 𝜎_m, 𝜏_max = round_dict(stress_fields, 2).values()\n",
    "# Showing results as a matrix\n",
    "𝜎 = sym.Matrix([[𝜎_xx, 𝜏_xy], [𝜏_xy, 𝜎_yy]])\n",
    "𝜎_eig = sym.Matrix([[𝜎_1, 0], [0, 𝜎_3]])\n",
    "print('(𝜎, 𝜎_eig) =')\n",
    "𝜎, 𝜎_eig"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Plotting the fields"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "a6ca30922a5244db8542672b0789f38d",
       "version_major": 2,
       "version_minor": 0
      },
      "image/png": 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WpmnTphlcrXFoPAEAAKa0TtdVfW3ec4Y1nrjy3jOy3BVpWAOMqYAVXgAAgCDV0NCgDz74QGazWU6nU5mZmVq+fLnRZQUcAi8AAECQ2rNnj1577TXv8Xe+8x2VlpYaWFFgCjO6AAAAANyen//85zp16pT32Gw2G1hN4GKFFwAAIICMpdPaiy++qFWrVun73/++YmJi9IMf/GAySgw6BF4AAAADmZJSZIq+UybXVUlvj6nT2pNPPqmamhqVlZWpq6tLa9asmfiCgxCBFwAAIID42mnN5XLpueeeU2lpqcLCwlRcXKysrCydPHlSc+fOnaxygwKBFwAAIID42mnto48+0kMPPaS77rpLklRYWKgvv/xSNTU1BN5B+NIaAABAEEpMTNTJkycHjHk8Hq1evdqYggIYK7wAAABB6Bvf+IYyMzP10ksvyWazye12Kz09XfHx8UaXFnAIvAAAAEHqiSee0BNPPGF0GQFvXLY01NTUKC8vTyUlJdq0aZMaGhrGPM/XcwAAAOAr5Cff+L3C63a7tXHjRlVXV8tqtWrBggXKyclRRUWFz/N8PQcAAAC+Qn7ynd8rvFVVVbJYLLJarZKk5ORkORwOXbp0yed5vp4DAAAAXyE/+c7vFd7GxkbNmDHDexweHq7o6GidPXvWewFuNc/Xc9zM7XbL7XZ7jwd3JQEAAAhGvnZau538NFX5HXgvX748pG+z2WxWe3u7z/N8PcfNioqKtHXr1iHjV6av0Y3o6LF9CAAAMGW5+lyGvn9/dumvw9dOa7eTn6YqvwNvTEyM+vr6Box1dXVp5syZPs9zOp0+neNmBQUF2rx5s/e4s7NzyH8gAAAAwcbXTmu+ZjCMwx7ehQsXqq2tzXvsdrvlcrmG3ANutHm+nuNmUVFR3k4kvnYkAQAACHSD881Igfd28tNU5XfgTUtLU1tbm1paWiRJlZWVSkpKUnx8vMrLy3XmzJlbzhvtOQAAAAxFfvKd31saIiIiVFJSom3btiklJUWVlZUqLS2VJO3atUtJSUlasmTJqPNGew4AAABDkZ98Z+obvPkjSHV2diomJkYNbWcVbeFLawAAwDeuTpfmxj6gjo6OSd0iOTi7GFXHVEBrYQAAgBDX0NCgDz74QGazWU6nU5mZmVq+fLnRZU0aAi8AAECI27Nnj1577TXv8Xe+850ptf3B7y+tAQAAILD9/Oc/16lTp7zHg+/fG+pY4QUAAAggvnZaG4sXX3xRq1at0ve//33FxMToBz/4gV/nCzYEXgAAAANVX7xTd7nuVI/rhiTfO62NxZNPPqmamhqVlZWpq6tLa9as8et8wYbACwAAEEB87bQmSW+++aYaGhpGfD4tLU1//ud/rueee06lpaUKCwtTcXGxsrKydPLkSc2dO3dcaw9UBF4AAIAAMpYOsi+88MIt5/z85z/XQw89pLvuukuSVFhYqC+//FI1NTVTJvDypTUAAIAQlpiYqJMnTw4Y83g8Wr16tTEFGYAVXgAAgBD2jW98Q5mZmXrppZdks9nkdruVnp4+pVoQE3gBAABC3BNPPKEnnnjC6DIMQ+AFAABB6ZPWO8flPP13Rwh1XV1deuaZZ/TGG2/ovvvuG/DcT37yEzmdTs2ZM0cej0e5ubkGVTkxCLwAAMAv4xU8MXH27dunpqYmHTx4UDt27Bjw3I9//GPV19frtdde04ULF7Rq1Srl5OTIZDIZVO34I/ACABCiCKLo179iu3Xr1gHjbrdbBQUF+u1vfyvpqy+4nTp1KqTCrkTgBQDAMARSDGciOq2N5JNPPtGVK1d04cIFffrppzp9+rS+9a1vKSEhYULezygEXgAAboFgiolU/psWRd01Xe6eLkkT02ltJJ9//rkkKTIyUk8++aTWrVunr3/96/rss898vhdwMCDwAgBCEiEVwWq8O61961vfGvH5mJgYSVJSUpIkafr06ert7dWJEyf0yCOPjLX0gEXgBQAEFIIqprrx7rQ2muXLl8tkMsnj8XjHBh+HAgIvAGBcEViB4BEXF6eHHnpIdrtdGRkZ+v3vfy+TyaSHH37Y6NLGVcAE3urqat17772aPXu2nE6nmpublZKSYnRZADAlEVqB0PLuu++qqqpKkvTKK68oLS1Nzz//vCSppKREW7Zs0blz51RfX6+ysjJNmzbNyHLHnd+Bt6amRqWlpVq+fLnsdrsKCgo0d+7cYedWV1frxIkTcrlc+vTTT/Xqq6/qoYcekiTt3r1bJSUlkqRVq1aptLTU39IAACK8ApC+/e1v69vf/rZ279495Ln77rtP+/fvN6CqyeNX4HW73dq4caOqq6tltVq1YMEC5eTkqKKiYsjcnp4eHT58WEVFRZKkAwcOKDMzUxcuXNDs2bOVkJCg1tZW9fb2ymaz+VMWAIQswiuA2zHaouPNXn75Za1bt05r1qwxoMqJ41fgraqqksVikdVqlSQlJyfL4XDo0qVL3rF+dXV1Ki4u1l//9V8rMTFRGRkZunr1qux2ux5//HFJX+0jAYCphhALYCLdatGx3/Hjx/X2228rMzPTqFInjF+Bt7GxUTNmzPAeh4eHKzo6WmfPnh0SeJcuXSq73a77779fktTU1CRJmj9/viSpu7tb+/fvV1RUlI4dO6b8/HwtWrRoxPd2u91yu93e48E3aQYAIxFiAQQKXxYdOzs7derUqVGzVzDzK/BevnxZZrN5wJjZbFZ7e/uQuSaTSampqd7j4uJi5eXlafny5ZKk7OxsrV69WpIUGxurrKwsnTt3TmFhYcO+d1FR0ZD2eAAw0QiyACbaeHdau9WioyTt3btXL774og4cOHDb7xPIRgy8vtzIOCYmRn19fQPGu7q6NHPmzFHfdN++fZo1a5a2b9/uHVu5cqX3cWJios6fP6/Tp09r2bJlw56joKBAmzdv9h53dnYO6UwCAL4iyAIwyn8eq1NE5F26cb1H0vh3WrvVomNZWZkyMjImrH1xIBgx8PpyI+OPP/5Ye/fu9R673W65XC7Fx8eP+JojR47I4/Ho9ddf17Vr1+R0OuV0OpWenu5dMXa5XJK+anM3konsKw0g9BBoAQznWHWzt6VvoJjITmuDFx0vXryoK1euaP369eNQeeDya0tDWlqa2tra1NLSIpvNpsrKSiUlJXkDb3l5ue655x4tWbJE0ldfcrt48aLWr18vp9Mph8Mhq9WqOXPmKD8/37s9wm63KzU1VYsXL/bz4wGYCgizwNR1rLrZ6BLG3UR1Whtu0bG8vFxOp1PFxcWSpNraWr3zzju6evVqSH15za/AGxERoZKSEm3btk0pKSmqrKwccP/cXbt2KSkpSUuWLFF9fb3WrVvnXb3t19HRIYvFohUrVmjHjh3yeDyqra3VoUOH/CkNQIgh1AKhKRQDayAaadExJydnwLw9e/boqaee0tq1a40pdIL43XgiPT1d6enpkqSnn356wHM3h9Z58+aNeieF9evXh/xyOoCREWiB4EZwDVyjLTr2a2lp0a5du+R0OrVz50719PTokUcemexSJ0zAtBYGMDUQbIHARnANPbdadJQkm82m7du3D7ihQCgh8AIYd4RaIDAQXoGvEHgB3DaCLTC5CLC4XRUVFbp06ZK6u7t19OhRvfzyy95bwvradjiYEXgB3BLBFpgYBFhMlscee0xvvPGGcnNzdeXKFT366KNqaWnxue1wsCPwAhiAcAv4hxCLQFRRUaF58+Z5j2/cuCHJt7bDoYDAC0xRBFtgbAiymCieL68O+N/xbi0sfdVeuF9ZWZlee+017/it2g6HAgIvMAUQboGREWRhlMjISM2aNUvVB/+recT06dPHvbVwv1//+td6//33lZSUpCeeeELSrdsOhwoCLxCCCLgAQRaBz2w2q6GhQdevX/eO9fX1yWQyDZg3Xq2Fk5OTlZycrD179mjNmjUqLy/X9OnTvXMHtx0OJQReIMgRbjEVEWYRKsxms8xm822/3pfWwg6HQ48++qgcDofmzp2rtWvX6m//9m919OhRZWdnSxq+7XBCQsJt1xVoCLxAkCHgYiog0ALjJyIiQg888IDi4uIkfdV57Y477tCDDz4oaeS2wwReAJOGgItQQ5gFJteqVauUm5urH/3oRwoLC9OJEyf0/vvva/78+T61HQ4Fpr6+vj6jixgPnZ2diomJUUPbWUVboo0uB7htBFwEOwItgo27p0s//ps0dXR0yGKxGF0OJgArvIDBCLgIRoRaBKOTR2uHHb9xvWeSK8FkI/ACk4yAi2BBqEUwGCnEAjcj8AKTgJCLQEWoRaAiyGI8EXiBCULIRaAg1CKQEGRhBAIvME4IuDAawRZGIsgikBF4AT8QcjHZCLUwAmEWwW5SA291dbXuvfdezZ49W06nU83NzUpJSZnMEgC/EXIxWQi3mAyEWUwFfgfempoalZaWavny5bLb7SooKNDcuXOHnbt7926VlJRI+uomyKWlpbd1HsAIBF1MFIItJgphFviKX4HX7XZr48aNqq6ultVq1YIFC5STk6OKioph5yckJKi1tVW9vb2y2Wy3fR5gshByMZ4IthhvBFrAN34F3qqqKlksFlmtVklScnKyHA6HLl265B0brL+Ps7/nASYKIRfjgXCL8UCgBcaHX4G3sbFRM2bM8B6Hh4crOjpaZ8+eHTaodnd3a//+/YqKitKxY8eUn5+vRYsWjfk80lerwm6323vc3/PZ5ery5yNhCqu+2B90XaPOAwYr/02L0SUgSP3nsTqjS4CkG19elST19fUZXAkmil+B9/LlyzKbzQPGzGaz2tvbh52fnZ2t1atXS5JiY2OVlZWlc+fOjfk8klRUVKStW7cOGf/G/avH9iEAAAAk/eEPf1BMTIzRZWACjBh433zzTTU0NIz4wrS0NMXExAz5bairq0szZ84c9jUrV670Pk5MTNT58+d1+vTpMZ9HkgoKCrR582bvcXt7u+Lj49XU1MR/rAGss7NTc+bMUXNzsywWi9HlYBhco+DAdQoOXKfg0NHRofvuu2/AX5sRWkYMvC+88MItX/zxxx9r79693mO32y2Xy6X4+Pghcx0Oh9LT072ruS7XV382joyM1MKFC30+T7+oqChFRUUNGY+JieEflSBgsVi4TgGOaxQcuE7BgesUHMLCwowuARPEryublpamtrY2tbR8tX+tsrJSSUlJ3qBaXl6uM2fOSJJsNpvy8/O9WxfsdrtSU1O1ePHiW54HAAAAuF1+7eGNiIhQSUmJtm3bppSUFFVWVg64t+6uXbuUlJSkJUuWyGazacWKFdqxY4c8Ho9qa2t16NAhn84DAAAA3C5TX4h8JdHtdquoqEgFBQXDbnVAYOA6BT6uUXDgOgUHrlNw4DqFvpAJvAAAAMBw2J0NAACAkEbgBQAAQEgj8AIAACCkEXgBAAAQ0kIi8NbU1CgvL08lJSXatGnTqB3iYKyuri5lZ2erqanJ6FIwjOrqau3cuVOFhYXKyMhQZWWl0SVhGBUVFXrvvfe0b98+Pf744/r3f/93o0vCLbz88ss6fvy40WVgGNXV1WpqapLH41Fra6scDofRJWECBH3gdbvd2rhxowoKCvT0008rJydHOTk5RpeFYezbt087duzQwYMH1dvba3Q5GKSnp0eHDx/WSy+9pMLCQj377LPKzMxUa2ur0aVhkMcee0zXrl1Tbm6uVq9erUcffdTokjCK48eP6+2335bH4zG6FAxj9+7dio+PV0REhDZs2EB74RAV9IG3qqpKFotFVqtVkpScnCyHw6FLly4ZXBkGy83NVWFhodFlYAR1dXUqLi5WXV2dJCkjI0NXr16V3W43uDIMVlFRoezsbO/xjRs3DKwGo+ns7NSpU6e0aNEio0vBCBISEtTa2qrm5mbV1NRowYIFRpeECRD0gbexsXHAb2Ph4eGKjo7W2bNnDawKCD5Lly6V3W7X/fffL0nebSfz5883siwMY+nSpZo2bZokqaysTK+99prBFWEke/fu1bPPPmt0GbiFuLg42Ww2o8vABPKrtXAguHz5ssxm84Axs9ms9vZ2YwoCgpTJZFJqaqr3uLi4WHl5eVq+fLmBVWEkv/71r/X+++8rKSlJTzzxhNHlYBhlZWXKyMigc1eA6+7u1v79+xUVFaVjx44pPz+fFfkQFPSBNyYmRoObxXV1dWnmzJkGVQQEv3379mnWrFnavn270aVgBMnJyUpOTtaePXu0Zs0alZeXa/r06UaXhT+6ePGirly5ovXr1xtdCm4hOztbq1evliTFxsYqKytL586dU1hY0P8RHDcJ+qu5cOFCtbW1eY/dbrdcLpfi4+MNrAoIXkeOHJHH49Hrr78ut9utxsZGo0vCTRwOh6xWq/duNGvXrtVvfvMbHT161ODKcLMPP/xQra2tKi4uVnFxsWpra/XOO+/ogw8+MLo0DLJy5Urv48TERJ0/f16nT582sCJMhKBf4U1LS1NbW5taWlpks9lUWVmppKQkAi9wG6qqqnTx4kWtX79eTqfTG64SEhKMLg1/FBERoQceeEBxcXGSpPr6et1xxx168MEHDa4MNxt8t6A9e/boqaee0tq1a40pCMNyOBxKT0/3bo90uVySpMjISIMrw3gL+sAbERGhkpISbdu2TSkpKaqsrFRpaanRZWEY7777rqqqqiRJr7zyitLS0vT8888bXBX61dfXa926dd5/8Pt1dHQYVBGGs2rVKuXm5upHP/qRwsLCdOLECb3//vt8uTBAtbS0aNeuXXI6ndq5c6d6enr0yCOPGF0W/shmsyk/P9/7XSC73a7U1FQtXrzY4Mow3kx9gzfAAgAATBFlZWU6f/68PB6PamtrVVRUpNjYWKPLwjgj8AIAACCkBf2X1gAAAIDREHgBAAAQ0gi8AAAACGkEXgAAAIQ0Ai8AAABCGoEXAAAAIY3ACwAAgJBG4AUAAEBII/ACAAAgpBF4AQAAENIIvAAAAAhpBF4AAACENAIvgJBw5coVPffcc7JarTKbzQN+9u7da3R5AAADEXgBBL329natWbNGZrNZZWVleuutt9Tb26tjx47p1KlTys3NNbpEAICBTH19fX1GFwEA/njmmWdkNpu1Z88e71hSUpJeffVVZWVlGVgZACAQRBhdAAD44/PPP9e//Mu/qLGxccB4T0+PMQUBAAIOWxoABLVPP/1U8+bNk81m845dvnxZdXV1+uY3v2lgZQCAQEHgBRDUwsPDdffddw8Ye+utt/S9731Ps2bNkiQ1Nzfr3Xff9e7lbWpq0l/91V+NOA4ACC0EXgBB7eGHH9YXX3yhtrY2SdIvf/lL/epXv9Ibb7zhnfPZZ5/pm9/8pr744gtJ0kcffaRFixaNOA4ACC3s4QUQ1KKjo/WLX/xCO3bskNlsVmxsrD766CNFRkZ65/xf/9f/pa1bt+pv/uZvJEnl5eX6u7/7OyUlJQ07DgAILdylAcCU8Jd/+Zd67733dNddd2nZsmU6efKkwsLCRhwHAIQOVngBTAmPPvqofvazn+nChQtavHixN9SONA4ACB38yw4g5P3qV7/S7373O+Xm5qq7u1ubNm0adRwAEFrY0gAg5P3Hf/yHTp48qTvuuEPR0dHasGHDqOMAgNAyqYG3urpa9957r2bPni2n06nm5malpKRM1tsDAABgChqXLQ01NTXKy8tTSUmJNm3apIaGhmHn7d69W/Hx8YqIiNCGDRs0Y8aMMZ8DAAAAGAu/v7Tmdru1ceNGVVdXy2q1asGCBcrJyVFFRcWQuQkJCWptbVVvb++ArkhjOQcAAAAwFn4H3qqqKlksFlmtVklScnKyHA6HLl265B27WVxcnN/nkL4KyW6323vc29urL774QnfffbdMJpO/HwsAAEwRfX19crlciouL404tIcrvwNvY2Dhga0J4eLiio6N19uzZIWG1u7tb+/fvV1RUlI4dO6b8/HwtWrRoTOfoV1RUpK1bt/pbPgAAgKSv2pDf/BdohA6/A+/ly5dlNpsHjJnNZrW3tw+Zm52drdWrV0uSYmNjlZWVpXPnzo3pHP0KCgq0efNm73FHR4fuu+8+FR48IfO06bf/gQAAwJRyrbtLhY/9maKjo40uxRDd3d2qqKjQ//7f/1sfffTRgOdaWlr0T//0T9q5c6dB1Y0PvwNvTEyMBt/ooaurSzNnzhwyd+XKld7HiYmJOn/+vE6fPj2mc/SLiopSVFTUkHHztOkyT5ua/8ECAIDbN1W3RE6bNk1/+Zd/qddff33AeF9fn/7P//k/+sMf/mBQZePH740qCxcuVFtbm/fY7XbL5XIpPj5+wDyHw6Gvfe1runbtmiTJ5XJJkiIjI30+BwAAwFTX1dWl7OxsNTU1DRgf7zteHTt2TA8//LBf5wgUfq/wpqWlqa2tTS0tLbLZbKqsrFRSUpLi4+NVXl6ue+65R0uWLJHNZlN+fr5364LdbldqaqoWL16sBQsWjHgOAAAAfGXfvn1qamrSwYMHtWPHDu/4re545XK59N577w05X3x8vP77f//vQ8br6+tltVp15513TthnmUx+B96IiAiVlJRo27ZtSklJUWVlpUpLSyVJu3btUlJSkjfwrlixQjt27JDH41Ftba0OHTp0y3MAAABMBUePHtVf/MVfDBjr7e3Vr371K28ozc3NlaQhX9y/1R2voqOj9Td/8zc+1/Lb3/5W4eHhamtrU1NTk06fPq1vfOMb/nw8Q/kdeCUpPT1d6enpkqSnn37aO94faPutX79e69evH9M5AAAApgKXy6U33njD+6X8GzduaPPmzd6QO5rbueNVP7fbrYMHD6qxsVHvvvuu/sf/+B967LHH9OWXX+qtt96S2+0e8l2rYMPN5gAAAALAxo0bNW/ePBUVFenLL7/U3/3d3+l//s//qWXLlt3ytbdzx6t+UVFReuqpp9TY2Khvf/vb3psC3HHHHfq7v/s72e12Pfjgg7fzkQLGuKzwAgAAwH8bNmxQb2+vkpKS9K//+q9auHChT6+7nTteTSWs8AIAAASInp4e/du//Zvy8vL005/+1OfXccer0RF4AQAAAoDL5dKLL76o//v//r/1zDPPKDMzU3//93/v0/7Zm++aJYk7Xg3ClgYAAIAAUFBQoH/8x39UXFycJOnP/uzPdMcdd2j79u16+eWXJUnvvvuuqqqqJEmvvPKK0tLS9Pzzz3PHq1sw9QX71+7+qLOzUzExMSo+epJOawAAwGfXul165S+WqaOjQxaLxehyMAHY0gAAAABDVVdXq6mpSR6PR62trXI4HON6fgIvAAAAJkR1dbV27typwsJCZWRkqLKycth5u3fvVnx8vCIiIrRhw4YB9xQeD+zhBQAAwLjr6enR4cOHVVRUJEk6cOCAMjMzdeHCBc2ePXvA3ISEBLW2tqq3t1c2m23ca2GFFwAAAOOurq5OxcXFqqurkyRlZGTo6tWrstvtw86Pi4ubkLArscILAACAEVy7dk3Xr18fMNbX1yeTyTRgLCoqytuhrd/SpUtlt9t1//33S5KampokSfPnzx/yPt3d3dq/f7+ioqJ07Ngx5efna9GiReP2OQi8AAAAGOLatWuaG/s1OV3uAePTp09XV1fXgLEtW7aosLBwwJjJZFJqaqr3uLi4WHl5eVq+fPmQ98rOztbq1aslSbGxscrKytK5c+cUFjY+mxEIvAAAABji+vXrcrrcqvvhX8hi/ioydl67ocR/PKrm5uYBt3AbvLo72L59+zRr1ixt37592OdXrlzpfZyYmKjz58/r9OnTWrZsmf8fROzhBQAAwCgs5ghZzHf88eer4GuxWAb8jBZ4jxw5Io/Ho9dff11ut1uNjY0Dnnc4HPra176ma9euSfqq45wkRUZGjttnYIUXAAAAE6KqqkoXL17U+vXr5XQ65XA4ZLVa1dDQoHvuuUdLliyRzWZTfn6+zGazJMlutys1NVWLFy8etzoIvAAAABh39fX1WrdunXfFtl9HR4eefvppJSUleQPvihUrtGPHDnk8HtXW1urQoUPjWguBFwAAAONu3rx56uzsHPa5wYF2/fr1Wr9+/YTVwh5eAAAAhLSACbwT3UMZAAAAU9O4BN6amhrl5eWppKREmzZtUkNDw7DzRuunPNE9lAEAADA1+b2H1+12a+PGjaqurpbVatWCBQuUk5OjioqKAfNu1U95onsoAwAAYGrye4W3qqpKFotFVqtVkpScnCyHw6FLly4NmOdLP+Wx9FB2u93q7Owc8AMAAAAM5nfgbWxsHLD9IDw8XNHR0Tp79uyAebfqp9zfQ/mdd95Rbm6uPvvss1Hft6ioSDExMd6fOXPm+PtRAAAAEIL83tJw+fJl742C+5nNZrW3tw8Yu1U/5bH2UC4oKNDmzZu9x52dnYReAAAADOH3Cm9MTIz6+voGjHV1dWnmzJkjvqa/n/Ibb7zhHRuph/JIoqKihrS1AwAAAAbzO/AuXLhQbW1t3mO32y2Xy6X4+Phh5w/XT3kyeigDAABgavI78KalpamtrU0tLS2SpMrKSiUlJSk+Pl7l5eU6c+aMd+7gfspHjx7V559/Pik9lAEAADA1+b2HNyIiQiUlJdq2bZtSUlJUWVmp0tJSSdKuXbu8fZJH66dssVgmvIcyAAAApiZT3+ANuEGqs7NTMTExKj56UuZp0UaXAwAAgsS1bpde+Ytl3kU4fKU/W7X94zpZzHd8NXbtS8X+8P2g+/8qYFoLAwAAABOBwAsAAICQRuAFAABASCPwAgAAIKQReAEAABDSCLwAAAAIaQReAAAAhDQCLwAAAEIagRcAAAAhjcALAACAkEbgBQAAQEgj8AIAACCkEXgBAAAQ0gi8AAAACGkEXgAAAIQ0Ai8AAABCGoEXAAAAIY3ACwAAgJA2LoG3pqZGeXl5Kikp0aZNm9TQ0DDmeb6eAwAAAMFhPDLieIjw9wRut1sbN25UdXW1rFarFixYoJycHFVUVPg8z9dzAAAAIDiMR0YcL36v8FZVVclischqtUqSkpOT5XA4dOnSJZ/n+XoOAAAABIfxyIjjxe/A29jYqBkzZniPw8PDFR0drbNnz/o8z9dz3Mztdquzs3PADwAAACbe4AzmdruHzBmPjDhe/N7ScPnyZZnN5gFjZrNZ7e3tPs/z9Rw3Kyoq0tatW/2qHQAAAKPbt+ofZZ4WLUm61u2S9L7mzJkzYM6WLVtUWFg4YGw8MuJ48TvwxsTEqK+vb8BYV1eXZs6c6fM8p9Pp0zluVlBQoM2bN3uPOzs7h/yfDwAAgPHX3Nwsi8XiPY6KihoyZzwy4njxe0vDwoUL1dbW5j12u91yuVyKj4/3eZ6v57hZVFSULBbLgB8AAABMvMEZbLjAOx4Zcbz4HXjT0tLU1tamlpYWSVJlZaWSkpIUHx+v8vJynTlz5pbzRnsOAAAAwWc8MuJ48XtLQ0REhEpKSrRt2zalpKSosrJSpaWlkqRdu3YpKSlJS5YsGXXeaM8BAAAg+IxHRhwvpr7BmyaCVGdnp2JiYlR89KR3YzUAAMCtXOt26ZW/WKaOjg62SN5kuGwVrP9f0VoYAAAAIY3ACwAAgJBG4AUAAEBII/ACAAAgpBF4AQAAENIIvAAAAAhpBF4AAACENAIvAAAAQhqBFwAAACGNwAsAAICQRuAFAABASCPwAgAAIKQReAEAABDSCLwAAAAIaQReAAAAhDQCLwAAAEIagRcAAAAhjcALAACAkEbgBQAAQEgLmMBbXV2tpqYmeTwetba2yuFwGF0SAAAAQoDfgbempkZ5eXkqKSnRpk2b1NDQMOLc6upq7dy5U4WFhcrIyFBlZaX3ud27dys+Pl4RERHasGGDZsyY4W9pAAAAgCL8ebHb7dbGjRtVXV0tq9WqBQsWKCcnRxUVFUPm9vT06PDhwyoqKpIkHThwQJmZmbpw4YJmz56thIQEtba2qre3VzabzZ+yAAAAAC+/VnirqqpksVhktVolScnJyXI4HLp06dKQuXV1dSouLlZdXZ0kKSMjQ1evXpXdbvfOiYuL8znsut1udXZ2DvgBAAAABvMr8DY2Ng7YehAeHq7o6GidPXt2yNylS5fKbrfr/vvvlyQ1NTVJkubPny9J6u7u1v79+/XOO+8oNzdXn3322ajvXVRUpJiYGO/PnDlz/PkoAAAACFF+bWm4fPmyzGbzgDGz2az29vYhc00mk1JTU73HxcXFysvL0/LlyyVJ2dnZWr16tSQpNjZWWVlZOnfunMLChs/kBQUF2rx5s/e4s7OT0AsAAIAhRgy8b7755qhfQEtLS1NMTIz6+voGjHd1dWnmzJmjvum+ffs0a9Ysbd++3Tu2cuVK7+PExESdP39ep0+f1rJly4Y9R1RUlKKiokZ9HwAAAGDEwPvCCy/c8sUff/yx9u7d6z12u91yuVyKj48f8TVHjhyRx+PR66+/rmvXrsnpdMrpdCo9Pd27YuxyuSRJkZGRY/ksAAAAwBB+7eFNS0tTW1ubWlpaJEmVlZVKSkryBt7y8nKdOXPGO7+qqkoXL17U+vXr5XQ6dfToUX3++eey2WzKz8/3bo+w2+1KTU3V4sWL/SkPAAAA8G8Pb0REhEpKSrRt2zalpKSosrJSpaWl3ud37dqlpKQkLVmyRPX19Vq3bp139bZfR0eHLBaLVqxYoR07dsjj8ai2tlaHDh3ypzQAAABAkmTqG7wJN0h1dnYqJiZGxUdPyjwt2uhyAABAkLjW7dIrf7HMuwiHrwyXrYL1/6uAaS0MAAAA3Ep1dbWamprk8XjU2toqh8Nxy9cQeAEAAGCo6upq7dy5U4WFhcrIyFBlZeWIc3fv3q34+HhFRERow4YNA3pCjMSvPbwAAACAP3p6enT48GEVFRVJkg4cOKDMzExduHBBs2fPHjI/ISFBra2t6u3t9blDLyu8AAAAMExdXZ2Ki4tVV1cnScrIyNDVq1dlt9tHfE1cXJzPYVdihRcAAACjuNbdNeRxZ2fngDn+NARbunSp7Ha77r//fklSU1OTJGn+/PnDzu/u7tb+/fsVFRWlY8eOKT8/X4sWLRr1PQi8AAAAGCIyMlKzZs1S4WN/NmB8+vTpmjNnzoCxLVu2qLCw8Lbex2QyKTU11XtcXFysvLw8LV++fNj52dnZWr16tSQpNjZWWVlZOnfunMLCRt64QOAFAADAEGazWQ0NDbp+/fqA8b6+PplMpgFjI63uvvnmm2poaBjxPdLS0vStb33Le7xv3z7NmjVL27dvH/E1K1eu9D5OTEzU+fPndfr0aS1btmzE1xB4AQAAMCyz2ezthHs7XnjhBZ/nHjlyRB6PR6+//rquXbsmp9OphISEAXMcDofS09N1+fJlmc1mb0OzyMjIUc/Nl9YAAABgqKqqKl28eFHr16+X0+nU0aNH9fnnn0uSysvLdebMGUmSzWZTfn6+N4Tb7XalpqZq8eLFo56fFV4AAAAYpr6+XuvWrfOu1vbr6OiQJO3atUtJSUlasmSJbDabVqxYoR07dsjj8ai2tlaHDh265XvQWhgAAExpwdouF75jSwMAAABCGoEXAAAAIY3ACwAAgJBG4AUAAEBII/ACAAAgpBF4AQAAENIIvAAAAAhpkxp4q6ur1dTUJI/Ho9bWVjkcjsl8ewAAAExBfgfempoa5eXlqaSkRJs2bVJDQ8OIc3fv3q34+HhFRERow4YNmjFjxm2dBwAAAPCVX62F3W63Nm7cqOrqalmtVi1YsEA5OTmqqKgYdn5CQoJaW1vV29srm8122+cBAAAAfOVX4K2qqpLFYpHVapUkJScny+Fw6NKlS96xweLi4sblPG63W26323vc32/5WneXPx8JAABMMf3Zoa+vz+BKMFH8CryNjY0DtiWEh4crOjpaZ8+eHTaodnd3a//+/YqKitKxY8eUn5+vRYsWjfk8klRUVKStW7cOGS987M/8+UgAAGCK+sMf/qCYmBijy8AE8CvwXr58WWazecCY2WxWe3v7sPOzs7O1evVqSVJsbKyysrJ07ty5MZ9HkgoKCrR582bvcXt7u+Lj49XU1MR/rAGss7NTc+bMUXNzsywWi9HlYBhco+DAdQoOXKfg0NHRofvuu2/A4htCy4iB98033xz1i2NpaWmKiYkZsvzf1dWlmTNnDvualStXeh8nJibq/PnzOn369JjPI0lRUVGKiooaMh4TE8M/KkHAYrFwnQIc1yg4cJ2CA9cpOISFcbfWUDVi4H3hhRdu+eKPP/5Ye/fu9R673W65XC7Fx8cPmetwOJSenu5dzXW5XJKkyMhILVy40OfzAAAAAGPh168yaWlpamtrU0tLiySpsrJSSUlJ3qBaXl6uM2fOSJJsNpvy8/O9WxfsdrtSU1O1ePHiW54HAAAAuF1+7eGNiIhQSUmJtm3bppSUFFVWVqq0tNT7/K5du5SUlKQlS5bIZrNpxYoV2rFjhzwej2pra3Xo0CGfzuOLqKgobdmyZdhtDggcXKfAxzUKDlyn4MB1Cg5cp9Bn6uMeHAAAAAhh7M4GAABASCPwAgAAIKQReAEAABDSCLwAAAAIaSEReGtqapSXl6eSkhJt2rRp1IYZMFZXV5eys7PV1NRkdCkYRnV1tXbu3KnCwkJlZGSosrLS6JIwjIqKCr333nvat2+fHn/8cf37v/+70SXhFl5++WUdP37c6DIwjOrqajU1Ncnj8ai1tVUOh8PokjABgj7wut1ubdy4UQUFBXr66aeVk5OjnJwco8vCMPbt26cdO3bo4MGD6u3tNbocDNLT06PDhw/rpZdeUmFhoZ599lllZmaqtbXV6NIwyGOPPaZr164pNzdXq1ev1qOPPmp0SRjF8ePH9fbbb8vj8RhdCoaxe/duxcfHKyIiQhs2bKC9cIgK+sBbVVUli8Uiq9UqSUpOTpbD4dClS5cMrgyD5ebmqrCw0OgyMIK6ujoVFxerrq5OkpSRkaGrV6/KbrcbXBkGq6ioUHZ2tvf4xo0bBlaD0XR2durUqVNatGiR0aVgBAkJCWptbVVzc7Nqamq0YMECo0vCBAj6wNvY2Djgt7Hw8HBFR0fr7NmzBlYFBJ+lS5fKbrfr/vvvlyTvtpP58+cbWRaGsXTpUk2bNk2SVFZWptdee83gijCSvXv36tlnnzW6DNxCXFycbDab0WVgAvnVaS0QXL582duuuJ/ZbFZ7e7sxBQFBymQyKTU11XtcXFysvLw8LV++3MCqMJJf//rXev/995WUlKQnnnjC6HIwjLKyMmVkZNC9K8B1d3dr//79ioqK0rFjx5Sfn8+KfAgK+sAbExOjwc3iurq6NHPmTIMqAoLfvn37NGvWLG3fvt3oUjCC5ORkJScna8+ePVqzZo3Ky8s1ffp0o8vCH128eFFXrlzR+vXrjS4Ft5Cdna3Vq1dLkmJjY5WVlaVz584pLCzo/wiOmwT91Vy4cKHa2tq8x263Wy6XS/Hx8QZWBQSvI0eOyOPx6PXXX5fb7VZjY6PRJeEmDodDVqvVezeatWvX6je/+Y2OHj1qcGW42YcffqjW1lYVFxeruLhYtbW1euedd/TBBx8YXRoGWblypfdxYmKizp8/r9OnTxtYESZC0K/wpqWlqa2tTS0tLbLZbKqsrFRSUhKBF7gNVVVVunjxotavXy+n0+kNVwkJCUaXhj+KiIjQAw88oLi4OElSfX297rjjDj344IMGV4abDb5b0J49e/TUU09p7dq1xhSEYTkcDqWnp3u3R7pcLklSZGSkwZVhvAV94I2IiFBJSYm2bdumlJQUVVZWqrS01OiyMIx3331XVVVVkqRXXnlFaWlpev755w2uCv3q6+u1bt067z/4/To6OgyqCMNZtWqVcnNz9aMf/UhhYWE6ceKE3n//fb5cGKBaWlq0a9cuOZ1O7dy5Uz09PXrkkUeMLgt/ZLPZlJ+f7/0ukN1uV2pqqhYvXmxwZRhvpr7BG2ABAACmiLKyMp0/f14ej0e1tbUqKipSbGys0WVhnBF4AQAAENKC/ktrAAAAwGgIvAAAAAhpBF4AAACENAIvAAAAQhqBFwAAACGNwAsAAICQRuAFAABASCPwAgAAIKQReAEAABDSCLwAAAAIaQReAAAAhDQCLwAAAEIagRdA0Pvkk090//33y2QyDfnZvXu30eUBAAwWYXQBAOCPS5cu6fXXX9d7772nmTNn6oc//KH+8R//UZJkMpk0Z84cgysEABiNwAsgqP3mN7/Rvn379Cd/8ifq7u6WJCUkJBhbFAAgoBB4AQS1v/zLv/Q+/vjjj/X1r3/dwGoAAIGIPbwAQsbRo0f1jW98w+gyAAABhsALIGQcPXpUDz744ICxgwcP6mc/+5leffVVvfvuu1q3bp2am5v17rvvKjc3V5LU1NSkv/qrvzKiZADAJCDwAggJtbW1unz58oD9uxcuXNCKFSv0+OOP6/Dhw8rOztZf/dVf6bPPPtM3v/lNffHFF5Kkjz76SIsWLTKocgDARGMPL4CQ8Nlnn+mRRx4ZMDZ//nxJ0pkzZ7RkyRLdcccdevLJJyVJW7du1d/8zd9IksrLy/V3f/d3k1swAGDSmPr6+vqMLgIAJsKZM2dkMpl05MgR3XnnnXrxxRf1wQcfKDMzU3/5l3+p9957T3fddZeWLVumkydPKiyMP3oBQChihRdAyPrlL38pj8cji8Wi5uZm/exnP9OyZcskSY8++qh+9rOf6cKFC1q8eDFhFwBCGCu8AKacX/3qV/r444+1bds2/eAHP9CGDRv08MMPG10WAGCCEHgBTDn/8R//oZMnT+qOO+5QdHS0NmzYYHRJAIAJNKmBt7q6Wvfee69mz54tp9Op5uZmpaSkTNbbAwAAYAoal01rNTU1ysvLU0lJiTZt2qSGhoZh5+3evVvx8fGKiIjQhg0bNGPGjDGfAwAAABgLv7+05na7tXHjRlVXV8tqtWrBggXKyclRRUXFkLkJCQlqbW1Vb2+vbDbbbZ0DAAAAGAu/V3irqqpksVhktVolScnJyXI4HLp06dKw8+Pi4gaE3ds5BwAAAOArv1d4GxsbB2xNCA8PV3R0tM6ePesNsP26u7u1f/9+RUVF6dixY8rPz9eiRYvGdI5+brdbbrfbe9zb26svvvhCd999t0wmk78fCwAATBF9fX1yuVyKi4vjFoUhyu/Ae/nyZZnN5gFjZrNZ7e3tQ+ZmZ2dr9erVkqTY2FhlZWXp3LlzYzpHv6KiIm3dutXf8gEAACRJzc3NQ/4KjdDgd+CNiYnR4Bs9dHV1aebMmUPmrly50vs4MTFR58+f1+nTp8d0jn4FBQXavHmz97ijo0P33Xefkh97UxF33Hm7HwcAAEwxN768ql8ffEHR0dFGl4IJ4nfgXbhwofbu3es9drvdcrlcio+PHzDP4XAoPT3du5rrcrkkSZGRkT6f42ZRUVGKiooa+oHuuFMRkXf5+7EAAMAUw5bI0OX3RpW0tDS1tbWppaVFklRZWamkpCTFx8ervLxcZ86ckSTZbDbl5+d7ty7Y7XalpqZq8eLFo54DAAAA8IffK7wREREqKSnRtm3blJKSosrKSpWWlkqSdu3apaSkJC1ZskQ2m00rVqzQjh075PF4VFtbq0OHDt3yHGO1ND1RUXdN9/djAQCAKcLd06VP/tXoKjCRQqa1cGdnp2JiYvQ/f1JF4AUAAD5z93Tpx3+Tpo6ODlksFqPLwQTg3hsAAAAIaQReAAAAhDS/9/AGmj9fZdNd3FYEAAD4qMfl0o+NLgITihVeAAAAhDQCLwAAAEIagRcAAAAhjcALAACAkBZyX1pbHXdV0ZaQ+1gAAGCCuDqvGl2CX7q6uvTMM8/ojTfe0H333TfivJ/85CdyOp2aM2eOPB6PcnNzJ7FKY7HCCwAAEKT27dunHTt26ODBg+rt7R1x3o9//GNduHBBP/zhD5Wamqr/9b/+l0Kk95hPQq7TWkPbWUVbuC0ZAADwjavTpbmxDwR1pzWTyaSGhgYlJCQMec7tduvee+/Vb3/7W8XHx6uvr0+/+93vhp0bqvjbPwAAgEGuXbum69eve4/7+vpkMpkGzImKilJUVNRtv8cnn3yiK1eu6MKFC/r00091+vRpfetb3yLwAgAAYGJdu3ZNs6dN1xe9Hu/Y9OnT1dXVNWDeli1bVFhYeNvv8/nnn0uSIiMj9eSTT2rdunX6+te/rs8++yxoV7THKuQC7590HZfFdKfRZQAAgCAR0WXMl9auX7+uL3o9OjBrnqaFham7t1fZzno1NzcPCKL+rO5KUkxMjCQpKSlJ0lehure3VydOnNAjjzzi17mDRcgFXgAAgGAyLSxM08LCvccWi2VcV16XL18uk8kkj+e/VpIHH4c67tIAAAAQYsrLy3XmzBlJUlxcnB566CHZ7XZJ0u9//3uZTCY9/PDDRpY4qVjhBQAACFLvvvuuqqqqJEmvvPKK0tLS9Pzzz2vXrl1KSkrSkiVLJEklJSXasmWLzp07p/r6epWVlWnatGlGlj6pQu62ZO31e2SJZg8vAADwTafrqr4277lJvy1Zf3b5IC5R08LC1d3rUebFuqC+PVqgYksDAABAEOvq6lJ2draampp8mv/yyy/r+PHjE1xVYAmYLQ3V1dW69957NXv2bDmdTjU3NyslJWXM5+mrcajvrsgJqBAAAISivp7rt54UoPbt26empiYdPHhQO3bsuOX848eP6+2331ZmZuYkVBc4xmWFt6amRnl5eSopKdGmTZvU0NAw7Lzq6mrt3LlThYWFysjIUGVlpfe53bt3Kz4+XhEREdqwYYNmzJgxHqUBAACErNzcXJ/v0dvZ2alTp05p0aJFE1tUAPJ7hdftdmvjxo2qrq6W1WrVggULlJOTo4qKigHzenp6dPjwYRUVFUmSDhw4oMzMTF24cEGzZ89WQkKCWltb1dvbK5vN5m9ZAAAAQamzs3PAsb+d1vrt3btXL774og4cOOD3uYKN3yu8VVVVslgsslqtkqTk5GQ5HA5dunRpwLy6ujoVFxerrq5OkpSRkaGrV696b5EhfXXbDMIuAACYShb/N6uWZszS4v/2VZaaM2eOYmJivD/9i4X+KCsrU0ZGxrgE52Dk9wpvY2PjgO0H4eHhio6O1tmzZ70hWJKWLl0qu92u+++/X5K8G6vnz58vSeru7tb+/fsVFRWlY8eOKT8/f9Qld7fbLbfb7T0e/NsQAABAMBrvTmsXL17UlStXtH79en9LC1p+B97Lly/LbDYPGDObzWpvbx8wZjKZlJqa6j0uLi5WXl6eli9fLknKzs7W6tWrJUmxsbHKysrSuXPnFBY2/CJ0UVGRtm7d6m/5AAAAAWW8O619+OGHcjqdKi4uliTV1tbqnXfe0dWrV6fMl9f8DrwxMTEafCvfrq4uzZw5c8TX7Nu3T7NmzdL27du9YytXrvQ+TkxM1Pnz53X69GktW7Zs2HMUFBRo8+bN3uPOzk7NmTPnNj8FAABA6CgvL9c999yjJUuWKCcnZ8Bze/bs0VNPPaW1a9caU5wB/N7Du3DhQrW1tXmP3W63XC6X4uPjh51/5MgReTwevf7663K73WpsbJTD4dDXvvY1Xbt2TZLkcrkkSZGRI99eLCoqyvsb0Hj/JgQAABAM3n33Xf3t3/6tpK86rb311luSpF27dukXv/jFgLktLS36+7//ezmdTu3cuVNHjhyZ9HqN4nentRs3big+Pl7V1dWy2Wz65S9/qS1btujTTz8d8NuF9NUX3Gpra7Vu3TpJksPhkNVq1Zw5c/TP//zP2rJli6SvfvP46U9/OuALbbfS363kd9/9U1kiA+b2wgAAIMB1Xr+h+J/aDeu01p9djKpjKvA7GUZERKikpETbtm1TSkqKKisrVVpaKkkD+jjX19dr3bp13tXbfv0XdcWKFdqxY4c8Ho9qa2t16NAhf0sDAAAIeV1dXXrmmWf0xhtv6L777ht2TnV1tU6cOCGXy6VPP/1Ur776qh566KFJrtQ4fq/wBgpWeAEAwO0I5hXe/k5rW7duVUNDgxISEobM6enp0T/8wz8M6IXwve99z9sLYSoYl05rAAAAmHy+dFrzpRdCqGMpFAAAIICMd6e1W/VCmApY4QUAADCQZd18WTZ8XZZ1XwXQ8e601t8LwWQySRraC2EqYIUXAAAggIx3p7WbDdcLYSog8AIAAASQieovcHMvhGvXrsnpdA77JbdQxJYGAACAEFNeXq4zZ854j6uqqnTx4kWtX79eTqdTR48e1eeff25ghZOLFV4AAIAg9e6776qqqkrSV53W0tLS9Pzzz/vcC2Gq4D68AABgSjP6PrxX3ntGlrsi1dlzXX/yxNt0WpsAIZcMz/3qkqaFhRtdBgAACBLdvR6jS/CLL53WampqVFpaquXLl8tut6ugoEBz586d5EqNE3KBFwAAYKro77R28OBB7dixY9g5brdbGzduVHV1taxWqxYsWKCcnBxVVFRMbrEG4ktrAAAAQcqXTmtVVVWyWCyyWq2SpOTkZDkcDl26dGkSKgwMrPACAAAEkPHutNbY2KgZM2Z4j8PDwxUdHa2zZ896Q3CoY4UXAADAQKakFJlS/lSmpBRJ499p7fLlyzKbzQPGzGaz2tvb/TpvMGGFFwAAIICMd6e1mJgYDb4pV1dXl2bOnOnXeYMJK7wAAAABpL/TWv+Pv4F34cKFamtr8x673W65XC7Fx8f7W2rQIPACAACEmJs7raWlpamtrU0tLS2SpMrKSiUlJU2pwMuWBgAAgCDlS6e1iIgIlZSUaNu2bUpJSVFlZaVKS0sNrnxyhVyntQ/iEmk8AQAAfNbd61HmxTrDOq211++RJfpOdbqu6mvznqPT2gRgSwMAAABC2rhsafC1Xd1o86Z6yzsAAICx8jU/NTQ06IMPPpDZbJbT6VRmZqaWL19uQMXG8Dvw+tqubrR5tLwDAAAYm7Hkpz179ui1117zHn/nO9+ZUvt4/d7S4Gu7utHm0fIOAABgbMaSn37+85/r1KlT3uPBjShCnd8rvL62qxtt3u20vHO73XK73d7jwW34AAAAgpGvrYXHkp9efPFFrVq1St///vcVExOjH/zgBxNTfIDye4XX13Z1o827nZZ3RUVFA9ruzZkzx6/PAQAAYIQr09foi+g/15XpayT53lp4LPnpySef1BNPPKGysjLt2bNHf/jDH8b9cwQyv1d4fW1XN9o8p9M55pZ3BQUF2rx5s/e4s7OT0AsAAIKer62Ffc1gLpdLzz33nEpLSxUWFqbi4mJlZWXp5MmTU+YGAX6v8Prarm60ebfT8i4qKmpI6z0AAIBg52trYV/z00cffaSHHnpId911l8xmswoLC/Xiiy+qpqZmQj9HIPE78I7Wrs7Xtna0vAMAABgbXzNYYmKiTp48OeC1Ho9Hq1evnuySDeP3lobR2tX52taOlncAAABj42sG+8Y3vqHMzEy99NJLstlscrvdSk9Pn1ILi7QWBgAAU5rRrYUb2s4q2hItV6dLc2MfoLXwBBiXTmsAAACYfGPpVPuTn/xETqdTc+bMkcfjUW5u7iRXaxwCLwAAQBAaS6e1H//4x6qvr9drr72mCxcuaNWqVcrJyZHJZJr8wg1A4AUAAAhCo3Vau7nxhNvtVkFBgX77299K+upLbKdOnZoyYVci8AIAAASU8e609sknn+jKlSu6cOGCPv30U50+fVrf+ta3lJCQMGGfIdAQeAEAAAxUffFO3eW6Uz2uG5I0pJHWli1bVFhYOOR1vnZa+/zzzyVJkZGRevLJJ7Vu3Tp9/etf12effTZlvhxH4AUAAAgg491pLSYmRpKUlJQkSZo+fbp6e3t14sQJPfLII+NZesDyu/EEAAAAxs94d1pbvny5TCaTPB6Pd2zwcagj8AIAAAQhXzutxcXF6aGHHpLdbpck/f73v5fJZNLDDz9sWO2TjS0NAAAAQcjXTmuSVFJSoi1btujcuXOqr69XWVmZpk2bZmT5kyrkOq397rt/KkskOR4AAPim8/oNxf/UblintX89Wa+7oqPV43LpyWXz6LQ2AdjSAAAAEKRqamqUl5enkpISbdq0SQ0NDbd8zcsvv6zjx49PQnWBg6VQAACAIDSWTmv9jh8/rrfffluZmZmTV2gAYIUXAAAgCI3WaW04nZ2dOnXqlBYtWjSZZQYEAi8AAEAA6ezsHPDjdruHnTdap7Xh7N27V88+++yE1BzoCLwAAAAGKv9Ni45VN6v8N1/dXmzOnDmKiYnx/hQVFQ37Ol87rUlSWVmZMjIyRrynb6hjDy8AAEAAGe9OaxcvXtSVK1e0fv368S82SBB4AQAAAkh/h7VbWbhwofbu3es9HqnT2ocffiin06ni4mJJUm1trd555x1dvXp1ynx5jcALAAAQhG7utGaz2YZ0Wrvnnnu0ZMkS5eTkDHjdnj179NRTT2nt2rXGFG6AgNnDW11draamJnk8HrW2tsrhcBhdEgAAQMC6udNaSUmJ/vVf/3VAp7Vf/OIXA+a3tLTo7//+7+V0OrVz504dOXLEiLIN4XentZqaGpWWlmr58uWy2+0qKCjQ3Llzh51bXV2tEydOyOVy6dNPP9Wrr76qhx56SJL0zDPPqKSkRJK0atUqlZaWasGCBT7X0d+t5Mp7z8hyV6Q/HwkAAEwhnT3X9SdPvG1Yp7X/+ZMqRd01Xe6eLv34b9LotDYB/NrSMJYbHvf09Ojw4cPebxoeOHBAmZmZunDhgmbPnq2EhAS1traqt7dXNpvNn7IAAACmBF8XHkdbdJwK/Aq8o93wuH+sX11dnYqLi/XXf/3XSkxMVEZGhq5evSq73a7HH39ckhQXF+dPOQAAAFOGrwuPt1p0nAr82sM7lhseL126VHa7Xffff78kqampSZI0f/58SVJ3d7f279+vd955R7m5ufrss89GfW+32z3kxswAAABTha+d1voXHevq6iRpwKLjVOHXCu9YbnhsMpmUmprqPS4uLlZeXp6WL18uScrOztbq1aslSbGxscrKytK5c+cUFjZ8Ji8qKtLWrVv9KR8AACDgDF7Ei4qKGvZevKMtPN78l/ZbLTpOBSMG3jfffFMNDQ0jvjAtLc3nGx4Ptm/fPs2aNUvbt2/3jq1cudL7ODExUefPn9fp06e1bNmyYc9RUFCgzZs3e487Ozs1Z86cUd8XAAAg0PznsTpFRN6lG9d7JGlIntmyZYsKCwuHvM7XhcdbLTpOBSMG3hdeeOGWL/744499uuHxzY4cOSKPx6PXX39d165dk9PplNPpVHp6uvfCuVwuSVJk5Mh3Wxjptx0AAIBgNt6d1m423KLjVODXHt6bb3gsacANjyWpvLxcZ86c8c6vqqrSxYsXtX79ejmdTh09elSff/65bDab8vPzvb+l2O12paamavHixf6UBwAAEHT6O631/4wUeBcuXKi2tjbv8a0WHm9edHS73WpsbJyI8gOSX3t4b77hcUpKiiorK703PJa+uulxUlKSlixZovr6eq1bt867etuv/15zK1as0I4dO+TxeFRbW6tDhw7dVk2mpBSZou/052MBAIApxOS6Kulto8sYM187rUlDFx0dDoesVqsSEhKM/RCTxO/GE4Gi/+bN7fV7ZCHwAgAAH3W6rupr854zrPFE6pP7vHt4P/nX3DHVcezYMR08eNC78PjDH/5Q8+bNU1ZWlpKSkvTqq6+qvr5ey5YtG3HRcSrwa4UXAAAAxklPT1d6erok6emnn/aO3/yX8nnz5k3527f6tYcXAAAAxqmpqVFeXp5KSkq0adOmEe+w5eu8UMUKLwAAQBDytdOar/NCGSu8AAAAQcjXTmu+zgtlIbfCe2X6Gt2Ijja6DAAAECRcfa5bT5pAni+vDvjf8e605uu8UBZygRcAACAYREZGatasWao++F/NvqZPnz7undZ8nRfKCLwAAAAGMJvNamho0PXr171jfX19MplMA+b522ntdjqyhRr28AIAABjEbDYP6KoWExMz7p3WxtqRLRQReAEAAILQzZ3WJA3ptHbmzJlbzpsqQm5LQ/XFO3WXi05rAADANz2uG0aXcFsiIiJUUlKibdu2eTutlZaWSpJ27dqlpKQkLVmyZNR5U0XItRb+15P1uou7NAAAAB/1uFx6ctm8KdVqd6phSwMAAABCGoEXAAAAIY3ACwAAgJAWcl9aK/9Ni6Lumm50GQAAIEi4e7qMLgETjBVeAAAAhDQCLwAAAEIagRcAAAAhbVIDb3V1tZqamuTxeNTa2iqHwzGZbw8AAIApyO8vrdXU1Ki0tFTLly+X3W5XQUGB5s6dO+zc3bt3q6SkRJK0atWqAV0+xnKe0fznsTpFRN51ex8GAABMOTeu9xhdAiaYX4HX7XZr48aNqq6ultVq1YIFC5STk6OKioph5yckJKi1tVW9vb2y2Wy3fR4AAADAV35taaiqqpLFYpHVapUkJScny+Fw6NKlSyO+Ji4ubkDYvd3zAAAAAL7wa4W3sbFRM2bM8B6Hh4crOjpaZ8+e9YbXm3V3d2v//v2KiorSsWPHlJ+fr0WLFo35PNJXq8Jut9t73NHRIUm68eVVfz4SAACYYvqzQ19fn8GVYKL4FXgvX74ss9k8YMxsNqu9vX3Y+dnZ2Vq9erUkKTY2VllZWTp37tyYzyNJRUVF2rp165DxXx98YWwfAgAAQNIf/vAHxcTEGF0GJsCIgffNN99UQ0PDiC9MS0tTTEzMkN+Gurq6NHPmzGFfs3LlSu/jxMREnT9/XqdPnx7zeSSpoKBAmzdv9h63t7crPj5eTU1N/McawDo7OzVnzhw1NzfLYrEYXQ6GwTUKDlyn4MB1Cg4dHR267777Bvy1GaFlxMD7wgu3Xin9+OOPtXfvXu+x2+2Wy+VSfHz8kLkOh0Pp6ene1VyXyyVJioyM1MKFC30+T7+oqChFRUUNGY+JieEflSBgsVi4TgGOaxQcuE7BgesUHMLCaE8Qqvy6smlpaWpra1NLS4skqbKyUklJSd6gWl5erjNnzkiSbDab8vPzvVsX7Ha7UlNTtXjx4lueBwAAALhdfu3hjYiIUElJibZt26aUlBRVVlYOuLfurl27lJSUpCVLlshms2nFihXasWOHPB6PamtrdejQIZ/OAwAAANwuU1+IfCXR7XarqKhIBQUFw251QGDgOgU+rlFw4DoFB65TcOA6hb6QCbwAAADAcNidDQAAgJBG4AUAAEBII/ACAAAgpIVE4K2pqVFeXp5KSkq0adOmURtmwFhdXV3Kzs5WU1OT0aVgGNXV1dq5c6cKCwuVkZGhyspKo0vCMCoqKvTee+9p3759evzxx/Xv//7vRpeEW3j55Zd1/Phxo8vAMKqrq9XU1CSPx6PW1lY5HA6jS8IECPrA63a7tXHjRhUUFOjpp59WTk6OcnJyjC4Lw9i3b5927NihgwcPqre31+hyMEhPT48OHz6sl156SYWFhXr22WeVmZmp1tZWo0vDII899piuXbum3NxcrV69Wo8++qjRJWEUx48f19tvvy2Px2N0KRjG7t27FR8fr4iICG3YsIFuayEq6ANvVVWVLBaLrFarJCk5OVkOh0OXLl0yuDIMlpubq8LCQqPLwAjq6upUXFysuro6SVJGRoauXr0qu91ucGUYrKKiQtnZ2d7jGzduGFgNRtPZ2alTp05p0aJFRpeCESQkJKi1tVXNzc2qqanRggULjC4JEyDoA29jY+OA38bCw8MVHR2ts2fPGlgVEHyWLl0qu92u+++/X5K8207mz59vZFkYxtKlSzVt2jRJUllZmV577TWDK8JI9u7dq2effdboMnALcXFxstlsRpeBCeRXp7VAcPnyZW+74n5ms1nt7e3GFAQEKZPJpNTUVO9xcXGx8vLytHz5cgOrwkh+/etf6/3331dSUpKeeOIJo8vBMMrKypSRkUEjgwDX3d2t/fv3KyoqSseOHVN+fj4r8iEo6ANvTEyMBvfO6Orq0syZMw2qCAh++/bt06xZs7R9+3ajS8EIkpOTlZycrD179mjNmjUqLy/X9OnTjS4Lf3Tx4kVduXJF69evN7oU3EJ2drZWr14tSYqNjVVWVpbOnTunsLCg/yM4bhL0V3PhwoVqa2vzHrvdbrlcLsXHxxtYFRC8jhw5Io/Ho9dff11ut1uNjY1Gl4SbOBwOWa1W791o1q5dq9/85jc6evSowZXhZh9++KFaW1tVXFys4uJi1dbW6p133tEHH3xgdGkYZOXKld7HiYmJOn/+vE6fPm1gRZgIQb/Cm5aWpra2NrW0tMhms6myslJJSUkEXuA2VFVV6eLFi1q/fr2cTqc3XCUkJBhdGv4oIiJCDzzwgOLi4iRJ9fX1uuOOO/Tggw8aXBluNvhuQXv27NFTTz2ltWvXGlMQhuVwOJSenu7dHulyuSRJkZGRBleG8Rb0gTciIkIlJSXatm2bUlJSVFlZqdLSUqPLwjDeffddVVVVSZJeeeUVpaWl6fnnnze4KvSrr6/XunXrvP/g9+vo6DCoIgxn1apVys3N1Y9+9COFhYXpxIkTev/99/lyYYBqaWnRrl275HQ6tXPnTvX09OiRRx4xuiz8kc1mU35+vve7QHa7XampqVq8eLHBlWG8mfoGb4AFAACYIsrKynT+/Hl5PB7V1taqqKhIsbGxRpeFcUbgBQAAQEgL+i+tAQAAAKMh8AIAACCkEXgBAAAQ0gi8AAAACGkEXgAAAIQ0Ai8AAABCGoEXAAAAIY3ACwAAgJBG4AUAAEBII/ACAAAgpBF4AQAAENIIvAAAAAhpBF4AAACENAIvgJBz5coVPffcc7JarTKbzQN+9u7da3R5AIBJRuAFEFLa29u1Zs0amc1mlZWV6a233lJvb6+OHTumU6dOKTc31+gSAQCTzNTX19dndBEAMF6eeeYZmc1m7dmzxzuWlJSkV199VVlZWd6xf/u3f9MXX3yh7373u0aUCQCYRBFGFwAA4+Xzzz/Xv/zLv6ixsXHAeE9Pj/dxX1+fdu/erYMHDxJ2AWCKIPACCBmffvqp5s2bJ5vN5h27fPmy6urq9M1vflOSZDKZ9Pzzz6utrc2oMgEAk4w9vABCRnh4uO6+++4BY2+99Za+973vadasWQZVBQAwGoEXQMh4+OGH9cUXX3hXb3/5y1/qV7/6ld544w2DKwMAGIktDQBCRnR0tH7xi19ox44dMpvNio2N1UcffaTIyEijSwMAGIjACyCkfP3rX9f27duNLgMAEEAIvACmnJ/85Cf66KOP9LWvfU133XWXHn/8caNLAgBMIO7DCwAAgJDGl9YAAAAQ0iY18FZXV6upqUkej0etra1yOByT+fYAAACYgsYl8NbU1CgvL08lJSXatGmTGhoahp23e/duxcfHKyIiQhs2bNCMGTPGfA4AAABgLPz+0prb7dbGjRtVXV0tq9WqBQsWKCcnRxUVFUPmJiQkqLW1Vb29vQM6IY3lHAAAAMBY+B14q6qqZLFYZLVaJUnJyclyOBy6dOmSd+xmcXFxfp9D+ioku91u73Fvb6+++OIL3X333TKZTP5+LAAAMEX09fXJ5XIpLi5OYWF8vSkU+R14GxsbB2xNCA8PV3R0tM6ePTskrHZ3d2v//v2KiorSsWPHlJ+fr0WLFo3pHP2Kioq0detWf8sHAACQJDU3Nw/4CzRCh9+B9/LlyzKbzQPGzGaz2tvbh8zNzs7W6tWrJUmxsbHKysrSuXPnxnSOfgUFBdq8ebP3uKOjQ/fdd5+SH3tTEXfcefsfKEQtTU80uoSA9eer+MdtJKvjrhpdQsD6k67jRpcQ0Ppq+FLySDrfv2B0CQHr3K8uGfK+3b29ynbWKzo62pD3x8TzO/DGxMRo8K18u7q6NHPmzCFzV65c6X2cmJio8+fP6/Tp02M6R7+oqChFRUUNGY+4405FRN411o8R8j6ruqhlf7HA6DIC0ifn2iVJ6avnGFtIAPpP18B//FNnE4D73bA8Muz4DFf5JFcSoB7+82GH+xz2SS4k8Fgef2DU5zsPn5+kSgJPSubsW875zw+dE/b+bIkMXX4H3oULF2rv3r3eY7fbLZfLpfj4+AHzHA6H0tPTvau5LpdLkhQZGenzOeCfk0drCb2jOFbd7H1M+B3eJ60D/3pCAB7qi+ihQY8Q/F9MKX864nOE4a9YNnx9xOemchjutzRj1i3nTGQoRnDyO/CmpaWpra1NLS0tstlsqqysVFJSkuLj41VeXq577rlHS5Yskc1mU35+vnfrgt1uV2pqqhYvXqwFCxaMeA6ML0Kvbwi/viEA+4YQ7JuRwjBB+L+MFob7EYp9C8USwXgqGZfWwseOHdPBgweVkpKiyspK/fCHP9S8efOUlZWlpKQkvfrqq5KksrIynT9/Xh6PR7W1tSoqKlJsbOyo5/BVZ2enYmJilPrkPrY0+IjgOzYE37EjAI8dQXhsCMNjRyAeqvP6DcX/1K6Ojg5ZLBajy8EEGJfAGwgIvLeH0Ht7CL+3hwB8+wjCt4dAfHumWigm8IY+Ai8IvX4i/PqHEOwfgvDtIwz7J5RCMYE39BF44UXw9R/hd3wQgv1HEPYfgdh/wRKKCbyhj8CLAQi944sAPH4IweODIDx+CMTjx+hgTOANfQReDIvgO/4Iv+OPEDy+CMPjj1A8viYqGBN4Qx+BFyMi9E4cwu/EIQRPDMLwxCEUT4yxhGMCb+gj8OKWCL4TjwA8sQjBE49APLEIxROrs+e6/uSJtwm8IczvxhMIfSeP1koi+E6kmxtdSATg8Ta4QUY/gvD4Ga65Rj/CsP9G61B3M4IxMDwCL3xGl7bJQwCeHAThyTFaGJYIxOOJYDz1VFRU6NKlS+ru7tbRo0f18ssva+XKlaqurtaJEyfkcrn06aef6tVXX9VDDz1kdLmGIfBiTFjtNQYBeHIRhCfXrQKxRCgebwTj0PHYY4/pjTfeUG5urq5cuaJHH31UtbW1Onz4sIqKiiRJBw4cUGZmpi5cuKDZs2cbXLExCLy4LQRfYxGAjTFSEJYIwxONUGwMX4OxRDg2SkVFhebNm+c9vnHjhurq6lRcXKy//uu/VmJiojIyMnT16lXZ7XY9/vjjBlZrHAIv/ELwDQwEYOMRho1HKDbWWMKxREDud+3aNV2/ft173NfXJ5PJNGBOVFSUoqKihn390qVLvY/Lysr02muvaenSpbLb7br//vslSU1NTZKk+fPnj3f5QYO7NGBcEXwDFyE4MBGGAxPBOPBMZEA26i4N165d0+xp0/VFr8c7Nn36dHV1dQ2Yt2XLFhUWFo54nl//+td6//33dfXqVf3DP/yDzGbzgOe/+93vaubMmfqnf/qnca0/mBB4MSEIvsGBEBz4CMSBjWAc2HwNyUYF3v7scmDWPE0LC1N3b6+ynfVqbm4eUMdoK7w327Nnj/75n/9Z5eXlmj59uiRp3759+uyzz7R9+/YhK8dTCVsaMCHY6hAcBm+FkAjBgWa0rRISgdhovmyjkAjGRvF1m4XJdVXS2xNay2imhYVpWli499hisfgUvB0Ohx599FE5HA7NnTtXa9eu1d/+7d/q6NGjys7O1pEjR+TxePT666/r2rVrcjqdSkhImMBPErgIvJhQ/cFXIvwGi+FCsEQQDlQE4uDgazDuR0CGLyIiIvTAAw8oLi5OklRfX6877rhDDz74oKqqqnTx4kWtX79eTqdTDodDVquVwAtMNFZ9gxurwcHpVoFYIhQHIgIyfLFq1Srl5ubqRz/6kcLCwnTixAm9//77Cg8P17p16+RyuQbM7+joMKhS47GHF4Yi/IYmgnDoIRSHFgLyQJ2uq/ravOcM28P7QVyipoWFq7vXo8yLdbQ4ngCs8MJQrPqGppG2RUiE4WDly0qxRDAOFmNdQZYIyYFqpI5qDQ0N+uCDD2Q2m+V0OpWZmanly5cbXa5hAibwVldX695779Xs2bPldDrV3NyslJQUo8vCJGGv79RBGA5tBOPQdTshuR9heWL09PSM2FFtz549eu2117xzv/Od76i0tNSoUg03LoG3pqZGpaWlWr58uex2uwoKCjR37twh80br67x7926VlJRI+mpPylS+KFMd4XfqIgxPHb4G434E5OBGWJ4Yo3VU+/nPf66nnnpKDz74oCQNuTfvVON34HW73dq4caOqq6tltVq1YMEC5eTkqKKiYsC80X4LmT17thISEtTa2qre3l7ZbDZ/y0KIuDn8SgTgqYwwPLWNJSATjkPLVAzLnZ2dA45Hug/vaB3VXnzxRa1atUrf//73FRMTox/84AcTX3gA8zvwVlVVyWKxyGq1SpKSk5PlcDh06dIl75g0+m8h/X2d+2+r4Qu32y232+09HvwfB0ITq78YzmhhuB+heOoY6+qxREgOVb6GZVef69aTJtDi/2aVJTJCnddvSD+t05w5A/+9GqnTmslkUmpqqve4uLhYeXl5Wr58ueLi4lRTU6OysjJ1dXVpzZo1E/0xAprfgbexsVEzZszwHoeHhys6Olpnz54dEHhv1de5u7tb+/fvV1RUlI4dO6b8/HwtWrRoxPctKirS1q1b/S0fQYzVX4zFrUIxgXhqIyQjkAzXae1W9u3bp1mzZmn79u1yuVx67rnnVFpaqrCwMBUXFysrK0snT54cdsvpVOB34L18+fKQfSFms1nt7e0Dxkb7LUSSsrOztXr1aklSbGyssrKydO7cOYWFhQ37vgUFBdq8ebP3uLOzc8hvRJhaCMDwhy+rxBLBGP/ldkJyP8IyRuNrp7V+gzuq7d27Vw899JDuuuur27QWFhbqyy+/VE1NDYH3dsXExGjwrXy7uro0c+bMEV9z828h/VauXOl9nJiYqPPnz+v06dNatmzZsOfwta80pi4CMCYCwRjjgbCM8TJcR7WVK1dq//79A+Z5PB7vwuJU5HfgXbhwofbu3es9drvdcrlcio+PH3b+cH2dnU6n0tPTvavF/Z1BIiMj/S0P8BocgCVCMCaOr8FYIhxjbPwJy/0IzaGhvr5+xI5qTqdTL730kmw2m9xut9LT00fMZlOB34E3LS1NbW1tamlpkc1mU2VlpZKSkhQfH6/y8nLdc889WrJkiaThfwuxWq2aM2eO8vPzvVsj7Ha7UlNTtXjxYn/LA0ZFCEYgIBxjso1HaJYIzkabN2/eiF/af+KJJ/TEE09MckWBy+/AGxERoZKSEm3btk0pKSmqrKz03kN3165dSkpK0pIlS0b9LcRisWjFihXasWOHPB6PamtrdejQIX9LA24LIRiBbCzhuB8hGRNlvIKzRHi+XaP1OOj38ssva926dVP6Tg2mvsEbcINUfz/q1Cf3KSLyLqPLwRRBEEYoIygj2Pkaol2dLs2NfcC7CDdZ+rPL7777p97bksX/1O5zHT09PfqHf/iHAT0Ovve973l7HEjS8ePHlZ2drffee09r166dyI8T0AKmtTAQjIZbDe5HGEawu53V5H6EZQQCX1ege1w3JriSiXGrHgednZ06derUqLd5nSoIvMAEIQxjKvMnLEsEZkxt49FpTZL27t2rF198UQcOHJjgigMfgRcwAGEYGJ2/gbkfwRnBwLJuvix3RUo916Wf2sel01pZWZkyMjK4hesfEXiBADNaGO5HKAZ8M17BuR8BGpPB305rFy9e1JUrV7R+/fqJLDOoEHiBIORLKJYIxsB4G+8A3Y8gjZv522ntww8/lNPpVHFxsSSptrZW77zzjq5evarMzMyJKjugEXiBEEYwBoLDRAXpfgTq0DVcj4OFCxcqJyfHO2fPnj166qmnuEsDgKnN12Dcj4AMBJeJDtSDEbAnx2g9DiSppaVFu3btktPp1M6dO9XT06NHHnnEiFINR+AFMGZjDcj9CMrA1DDZAftmUylsj9ZpTZJsNpu2b9+u7du3T2JVgYnAC2DS3G5Q7kdgBnArtxO23T1dE1DJ5Bip01pNTY1KS0u1fPly2e12FRQUaO7cuUaXaxgCL4Cg4W9glgjNAEJHT0+PDh8+PKDTWmZmpj777DNt3LhR1dXVslqtWrBggXJyclRRUWFswQYi8AKYUsYjNA9GiAZghJE6rTkcDlksFlmtVklScnKyHA6HLl265B2bagi8AOCniQjRgxGqganD305rTU1NmjFjhndeeHi4oqOjdfbsWQIvACBwTUaoHoyQDUwOU1KKTNF3yuS6Kultvzut3bhxQ2azecBcs9ms9vb2Cag+OBB4AQDDMiJkj4YAjqnC305ru3fvVl9f34Dnu7q6NHPmzHGvNVgQeAEAQSHQAvitENBxu/zttGY2m9XW1uZ93u12y+VyKT4+fiLKDQoEXgAAJkCwBfTbQag33nCd1ubPn6+2tja1tLTIZrOpsrJSSUlJBF4AAICxCpVQf+N6j9El3JbROq2VlJRo27ZtSklJUWVlpUpLSw2qMjAQeAEAAILQaJ3W0tPTlZ6eLkl6+umnJ7OsgDQugdfXbh6jzaMjCAAAwNh1dXXpmWee0RtvvKH77rvPO/6Tn/xETqdTc+bMkcfjUW5uroFVGsvvwOt2u33q5jHaPF/PAQAAgP+yb98+NTU16eDBg9qxY4d3/Mc//rHq6+v12muv6cKFC1q1apVycnJkMpkMrNY4fgfeqqoqn7p5jDbv9OnTdAQBAAAYo/5V261bt3rH3G63CgoK9Nvf/laSlJiYqFOnTk3ZsCuNQ+BtbGz0qZvHaPN8PcfN3G633G6393ikPSwAAADBxNdOayP55JNPdOXKFV24cEGffvqpTp8+rW9961tKSEgY50qDR5i/J7h8+bJP3TxGm+frOW5WVFSkmJgY78/griQAAADB4Mr0Nfoi+s91ZfoaSdKcOXMGZJyioqIxne/zzz+XJEVGRurJJ5/Uq6++qscee2xKLw76HXhjYmJ86uYx2jxfz3GzgoICdXR0eH+am5v9/CQAAADGa25uHpBxCgoKxvT6mJgYSVJSUpIkafr06ert7dWJEyfGvdZg4XfgXbhwoU/dPEab5+s5bhYVFeXtRDLWjiQAAACBanC+Gct2Bklavny5TCaTPB6Pd2zw8VTjd+BNS0vzdvOQNKCbR3l5uc6cOXPLeaM9BwAAAN/FxcXpoYcekt1ulyT9/ve/l8lk0sMPP2xwZcbx+0trERERI3bz2LVrl5KSkrRkyZJR5432HAAAAIb37rvvqqqqSpL0yiuvKC0tTc8//7xKSkq0ZcsWnTt3TvX19SorK9O0adMMrtY4pr7Bm2eDVGdnp2JiYpT65D5FRN5ldDkAACBI3Ljeo0/+NVcdHR2TukWyP7s0tJ1VtCVark6X5sY+MOl1TAV+b2kAAAAAAhmBFwAAIIh1dXUpOztbTU1N3rHq6mrt3LlThYWFysjIUGVlpYEVGs/vPbwAAAAwxnCthXt6enT48GHv/XsPHDigzMxMXbhwQbNnzzayXMOwwgsAABCkcnNzVVhYOGCsrq5OxcXFqqurkyRlZGTo6tWr3rs2TEWs8AIAAAQQf1sLL126VHa7Xffff78kebc6zJ8/f/yKDDKs8AIAABio+uKd+qT1TlVfvFOS/62FTSaTUlNTZTKZJEnFxcXKy8vT8uXLx732YMEKLwAAQABpbm4ecFuysXZau9m+ffs0a9Ysbd++fTxKC1oEXgAAgADS31LYX0eOHJHH49Hrr7+ua9euyel0KiEhwf8CgxBbGgAAAEJMVVWVLl68qPXr18vpdOro0aP6/PPPjS7LMKzwAgAABKnhWgv/xV/8hdatWyeXyzVgbkdHhxElBgQCLwAAQJD69re/rW9/+9vavXv3gPHBd3qY6gi8AAAAQaqhoUEffPCBzGaznE6nMjMzp/TdGEZC4AUAAAhSe/bs0WuvveY9/s53vqPS0lIDKwpMfGkNAAAgSP385z/XqVOnvMdms9nAagIXK7wAAAABZCyd1l588UWtWrVK3//+9xUTE6Mf/OAHk1Fi0CHwAgAAGKj8Ny2Kumu63D1dkr7qtHazLVu2qLCwcNjXPvnkk6qpqVFZWZm6urq0Zs2aiS43KBF4AQAAAoivndZcLpeee+45lZaWKiwsTMXFxcrKytLJkyc1d+7cySo3KBB4AQAAAoivndY++ugjPfTQQ7rrrrskSYWFhfryyy9VU1ND4B2EL60BAAAEocTERJ08eXLAmMfj0erVq40pKIAFzApvdXW17r33Xs2ePVtOp1PNzc1KSUkxuiwAAICA9I1vfEOZmZl66aWXZLPZ5Ha7lZ6ervj4eKNLCzh+B96amhqVlpZq+fLlstvtKigoGHEZvbq6WidOnJDL5dKnn36qV199VQ899JAkaffu3SopKZEkrVq1invIAQAA3MITTzyhJ554wugyAp5fgdftdmvjxo2qrq6W1WrVggULlJOTo4qKiiFze3p6dPjwYRUVFUmSDhw4oMzMTF24cEGzZ89WQkKCWltb1dvbK5vN5k9ZAAAAU87LL7+sdevWcaeGYfi1h7eqqkoWi0VWq1WSlJycLIfDoUuXLg2ZW1dXp+LiYtXV1UmSMjIydPXqVdntdu+cuLg4n8Ou2+1WZ2fngB8AAICp6Pjx43r77bfl8XiMLiUg+RV4GxsbNWPGDO9xeHi4oqOjdfbs2SFzly5dKrvdrvvvv1+S1NTUJEmaP3++JKm7u1v79+/XO++8o9zcXH322WejvndRUZFiYmK8P4PvWQcAADAVdHZ26tSpU1q0aJHRpQQsv7Y0XL58eUgLO7PZrPb29iFzTSaTUlNTvcfFxcXKy8vT8uXLJUnZ2dnebxXGxsYqKytL586dU1jY8Jm8oKBAmzdv9h53dnYSegEAQNAbS6c1Sdq7d69efPFFHThwYKJLC1ojBt4333xTDQ0NI74wLS1NMTEx6uvrGzDe1dWlmTNnjvqm+/bt06xZs7R9+3bv2MqVK72PExMTdf78eZ0+fVrLli0b9hy3uvgAAADB4D+P1Ski8i7duN4jaWyd1srKypSRkUEmuoURA+8LL7xwyxd//PHH2rt3r/fY7XbL5XKNejuMI0eOyOPx6PXXX9e1a9fkdDrldDqVnp7uXTF2uVySpMjIyLF8FgAAgKDna6e1ixcv6sqVK1q/fv1klRa0/NrSkJaWpra2NrW0tMhms6myslJJSUnewFteXq577rlHS5YskfTVl9wuXryo9evXy+l0yuFwyGq1as6cOcrPz/duj7Db7UpNTdXixYv9/HgAAADBxddOax9++KGcTqeKi4slSbW1tXrnnXd09epVZWZmTnSZQcWvwBsREaGSkhJt27ZNKSkpqqysHHD/3F27dikpKUlLlixRfX291q1b51297dfR0SGLxaIVK1Zox44d8ng8qq2t1aFDh/wpDQAAIKTl5OQMON6zZ4+eeuoprV271piCApjfjSfS09OVnp4uSXr66acHPHdzaJ03b96otw5bv349S/IAAABj1NLSol27dsnpdGrnzp3q6enRI488YnRZASVgWgsDAABg7Gw2m7Zv3z7gZgAYyK/78AIAAMA4NTU1ysvLU0lJiTZt2jTqHbamMlZ4AQAAgpDb7dbGjRtVXV0tq9WqBQsWKCcnRxUVFUaXFnBY4QUAAAhCVVVVslgsslqtkqTk5GQ5HA5dunTJ4MoCDyu8AAAABvJ8eXXA//raaa2xsVEzZszwHoeHhys6Olpnz571hmB8hcALAABggMjISM2aNUvVB/+r2df06dN97rTW37DrZmazWe3t7RNRblAj8AIAABjAbDaroaFB169f94719fXJZDINmDdSp7WYmBj19fUNGOvq6tLMmTPHv9ggR+AFAAAwiNlsHrJK66uFCxdq79693mO32y2Xy+XteIv/wpfWAAAAglBaWpra2trU0tIiSaqsrFRSUhKBdxis8AIAAAShiIgIlZSUaNu2bUpJSVFlZaVKS0uNLisgEXgBAACCVHp6utLT0yVJTz/9tMHVBC62NAAAACCkEXgBAAAQ0gi8AAAACGkEXgAAAIQ0Ai8AAABCGoEXAAAAIY3ACwAAgJA2qYG3urpaTU1N8ng8am1tlcPhmMy3BwAAwBTkd+CtqalRXl6eSkpKtGnTJjU0NIw4d/fu3YqPj1dERIQ2bNigGTNm3NZ5AAAAAF/51WnN7XZr48aNqq6ultVq1YIFC5STk6OKioph5yckJKi1tVW9vb2y2Wy3fR4AAADAV34F3qqqKlksFlmtVklScnKyHA6HLl265B0bLC4ublzO43a75Xa7vccdHR2SpBtfXvXnIwEAgCmmPzv09fUZXAkmil+Bt7GxccC2hPDwcEVHR+vs2bPDBtXu7m7t379fUVFROnbsmPLz87Vo0aIxn0eSioqKtHXr1iHjvz74gj8fCQAATFF/+MMfFBMTY3QZmAB+Bd7Lly/LbDYPGDObzWpvbx92fnZ2tlavXi1Jio2NVVZWls6dOzfm80hSQUGBNm/e7D1ub29XfHy8mpqa+I81gHV2dmrOnDlqbm6WxWIxuhwMg2sUHLhOwYHrFBw6Ojp03333DVh8Q2gZMfC++eabo35xLC0tTTExMUOW/7u6ujRz5sxhX7Ny5Urv48TERJ0/f16nT58e83kkKSoqSlFRUUPGY2Ji+EclCFgsFq5TgOMaBQeuU3DgOgWHsDDu1hqqRgy8L7xw660BH3/8sfbu3es9drvdcrlcio+PHzLX4XAoPT3du5rrcrkkSZGRkVq4cKHP5wEAAADGwq9fZdLS0tTW1qaWlhZJUmVlpZKSkrxBtby8XGfOnJEk2Ww25efne7cu2O12paamavHixbc8DwAAAHC7/NrDGxERoZKSEm3btk0pKSmqrKxUaWmp9/ldu3YpKSlJS5Yskc1m04oVK7Rjxw55PB7V1tbq0KFDPp3HF1FRUdqyZcuw2xwQOLhOgY9rFBy4TsGB6xQcuE6hz9THPTgAAAAQwtidDQAAgJBG4AUAAEBII/ACAAAgpBF4AQAAENJCIvDW1NQoLy9PJSUl2rRp06gNM2Csrq4uZWdnq6mpyehSMIzq6mrt3LlThYWFysjIUGVlpdElYRgVFRV67733tG/fPj3++OP693//d6NLwi28/PLLOn78uNFlYBjV1dVqamqSx+NRa2urHA6H0SVhAgR94HW73dq4caMKCgr09NNPKycnRzk5OUaXhWHs27dPO3bs0MGDB9Xb22t0ORikp6dHhw8f1ksvvaTCwkI9++yzyszMVGtrq9GlYZDHHntM165dU25urlavXq1HH33U6JIwiuPHj+vtt9+Wx+MxuhQMY/fu3YqPj1dERIQ2bNhAe+EQFfSBt6qqShaLRVarVZKUnJwsh8OhS5cuGVwZBsvNzVVhYaHRZWAEdXV1Ki4uVl1dnSQpIyNDV69eld1uN7gyDFZRUaHs7Gzv8Y0bNwysBqPp7OzUqVOntGjRIqNLwQgSEhLU2tqq5uZm1dTUaMGCBUaXhAkQ9IG3sbFxwG9j4eHhio6O1tmzZw2sCgg+S5culd1u1/333y9J3m0n8+fPN7IsDGPp0qWaNm2aJKmsrEyvvfaawRVhJHv37tWzzz5rdBm4hbi4ONlsNqPLwATyq9NaILh8+bK3XXE/s9ms9vZ2YwoCgpTJZFJqaqr3uLi4WHl5eVq+fLmBVWEkv/71r/X+++8rKSlJTzzxhNHlYBhlZWXKyMige1eA6+7u1v79+xUVFaVjx44pPz+fFfkQFPSBNyYmRoObxXV1dWnmzJkGVQQEv3379mnWrFnavn270aVgBMnJyUpOTtaePXu0Zs0alZeXa/r06UaXhT+6ePGirly5ovXr1xtdCm4hOztbq1evliTFxsYqKytL586dU1hY0P8RHDcJ+qu5cOFCtbW1eY/dbrdcLpfi4+MNrAoIXkeOHJHH49Hrr78ut9utxsZGo0vCTRwOh6xWq/duNGvXrtVvfvMbHT161ODKcLMPP/xQra2tKi4uVnFxsWpra/XOO+/ogw8+MLo0DLJy5Urv48TERJ0/f16nT582sCJMhKBf4U1LS1NbW5taWlpks9lUWVmppKQkAi9wG6qqqnTx4kWtX79eTqfTG64SEhKMLg1/FBERoQceeEBxcXGSpPr6et1xxx168MEHDa4MNxt8t6A9e/boqaee0tq1a40pCMNyOBxKT0/3bo90uVySpMjISIMrw3gL+sAbERGhkpISbdu2TSkpKaqsrFRpaanRZWEY7777rqqqqiRJr7zyitLS0vT8888bXBX61dfXa926dd5/8Pt1dHQYVBGGs2rVKuXm5upHP/qRwsLCdOLECb3//vt8uTBAtbS0aNeuXXI6ndq5c6d6enr0yCOPGF0W/shmsyk/P9/7XSC73a7U1FQtXrzY4Mow3kx9gzfAAgAATBFlZWU6f/68PB6PamtrVVRUpNjYWKPLwjgj8AIAACCkBf2X1gAAAIDREHgBAAAQ0gi8AAAACGkEXgAAAIQ0Ai8AAABCGoEXAAAAIY3ACwAAgJBG4AUAAEBII/ACAAAgpBF4AQAAENIIvAAAAAhpBF4AAACENAIvAAAAQhqBF0DIuXLlip577jlZrVaZzeYBP3v37jW6PADAJCPwAggp7e3tWrNmjcxms8rKyvTWW2+pt7dXx44d06lTp5Sbm2t0iQCASWbq6+vrM7oIABgvzzzzjMxms/bs2eMdS0pK0quvvqqsrCxJ0v/7//6/uvPOO/Uf//Ef+vrXv65nnnnGoGoBAJMhwugCAGC8fP755/qXf/kXNTY2Dhjv6enxPm5qatIPf/hD/e53v9OSJUv0Z3/2ZwReAAhxbGkAEDI+/fRTzZs3TzabzTt2+fJl1dXV6Zvf/KYk6b777tN//Md/yGQy6Te/+Y3WrVtnVLkAgEnCCi+AkBEeHq677757wNhbb72l733ve5o1a5Z37O6779bBgwf1y1/+Urt27ZrsMgEAk4wVXgAh4+GHH9YXX3yhtrY2SdIvf/lL/epXv9Ibb7wxYJ7JZNJjjz2mF154QRkZGfryyy+NKBcAMEn40hqAkHL+/Hn98z//s8xms2JjY7Vp0yZFRkYOmNPX1yeTyaTr168rKipK1dXVSk5ONqhiAMBEI/ACmFL+n//n/9HBgwf14YcfqrGxUYsXL1ZTU5NmzpxpdGkAgAnCHl4AU8q3vvUthYWF6b333lNVVZX+7d/+jbALACGOFV4AAACENL60BgAAgJA2qYG3urpaTU1N8ng8am1tlcPhmMy3BwAAwBQ0LoG3pqZGeXl5Kikp0aZNm9TQ0DDsvN27dys+Pl4RERHasGGDZsyYMeZzAAAAAGPh95fW3G63Nm7cqOrqalmtVi1YsEA5OTmqqKgYMjchIUGtra3q7e0d0AlpLOcAAAAAxsLvwFtVVSWLxSKr1SpJSk5OlsPh0KVLl7xjN4uLi/P7HNJXIdntdnuPe3t79cUXX+juu++WyWTy92MBAIApoq+vTy6XS3FxcQoL4+tNocjvwNvY2Dhga0J4eLiio6N19uzZIWG1u7tb+/fvV1RUlI4dO6b8/HwtWrRoTOfoV1RUpK1bt/pbPgAAgCSpubl5wF+gETr8DryXL1+W2WweMGY2m9Xe3j5kbnZ2tlavXi1Jio2NVVZWls6dOzemc/QrKCjQ5s2bvccdHR267777dGDWPE3jtzMAAOCj7t5eZTvrFR0dbXQpmCB+B96YmBgNvpVvV1fXsDdyX7lypfdxYmKizp8/r9OnT4/pHP2ioqIUFRU1ZHxaWJimhYWP9WMAAIApji2RocvvpdCFCxeqra3Ne+x2u+VyuRQfHz9gnsPh0Ne+9jVdu3ZNkuRyuSRJkZGRPp8DAAAAGCu/A29aWpra2trU0tIiSaqsrFRSUpLi4+NVXl6uM2fOSJJsNpvy8/O9WxfsdrtSU1O1ePHiUc8BAAAA+MPvLQ0REREqKSnRtm3blJKSosrKSpWWlkqSdu3apaSkJC1ZskQ2m00rVqzQjh075PF4VFtbq0OHDt3yHAAAAIA/TH2DN88Gqc7OTsXExOiDuET28AIA8P+3d+9BUd15/v9fDQQ6Kt0Tl9AGm4CKRI2OEmmgmBVNlioWF5NYwWicms3A/JJKJc6sZYo1pGZLrF0LvM0f7qQkyyxKpTCTWo3uYHnZ9RtotLU7ZDbKBLMCiwy3aYgToZuLbWz4/eFwYkMD3ZzuPud0vx5V1nAOh9Nv0hnz9Hg4H/LY0KgTuT2tGBgYgEajkXoc8gM+zoCIiIiIghqDl4iIiIiCGoOXiIiIiIIag5eIiIiIghqDl4iIiIiCGoOXiIiIiIIag5eIiIiIghqDl4iIiEihGhoasHPnTlRVVeHNN9/E7du3pR5JlkSvtEZEREREgedwOLBlyxZYLBbodDokJyejoKAAdXV1Uo8mO7zCS0RERKRA9fX10Gg00Ol0AIC0tDSYzWb09vZKPJn88AovERERkUTu3buH+/fvC9tjY2NQqVQux0RFRSEqKmrS17a3t2P+/PnCdnh4OKKjo9HU1CREMD3EK7xEREREErh37x4Wzp0HrVYr/NLr9S7bWq0WpaWlbr/+zp07UKvVLvvUajX6+/sDML2y8AovERERkQTu37+Pb0edOLlgMeaGhWFodBT51jZ0dnZCo9EIx7m7ugsAWq0WY2NjLvsGBwcRExPj17mViFd4iYiIiCQ0NywMc8PCMTfsYZZpNBqXX1MF77Jly9DX1ydsOxwO2O12JCQkBGRuJWHwEhERESlQVlYW+vr60NXVBQAwGo0wGAwMXjd4SwMRERGRAkVERKCqqgr79u1DRkYGjEYjqqurpR5Llhi8RERERAqVnZ2N7OxsAMDrr78u8TTyxVsaiIiIiELI7t27cfnyZanHCCjZBK/FYkFHRwecTie6u7thNpulHomIiIgoqFy+fBnHjx+H0+mUepSA8knwerqOs8ViweHDh1FSUoKcnBwYjUbhc0ePHkVCQgIiIiLw8ssvuzxImYiIiIjEsdlsuHHjBpYvXy71KAEn+h5eT9dxHh4expkzZ4SHJ588eRK5ubloaWnBwoULkZiYiO7uboyOjkKv14sdi4iIiEiRbDaby/ZUK615q6KiAjt27MDJkydFn0tpRF/h9XQd59bWVpSVlaG1tRUAkJOTg5GREZhMJuGYuLg4j2PX4XDAZrO5/CIiIiJSmhV/o8OqnAVY8TcPWyo+Pt6jlda8UVNTg5ycHJ+EsxKJvsLr6TrOq1atgslkwpIlSwAAHR0dAIClS5cCAIaGhnDs2DFERUXh0qVLKCoqmvaSe2lpKfbu3St2fCIiIiJZ8XSlNQD44IMPpryVFHj4rN7U1FTcvXsXmzZt8umcSiI6eD1dx1mlUiEzM1PYLisrw86dO5GSkgIAyM/PR3p6OgAgNjYWmzdvxs2bNxEW5v4idHFxMXbt2iVs22w2xMfHi/12iIiIiCQ1vsKaJ955550Zjzl27BisVivKysoAAM3NzThx4gRGRkaQm5sralalEB28s1nHubKyEgsWLMCBAweEfWvXrhU+TkpKwq1bt9DY2Ig1a9a4PYev7mchIiIiCmYFBQUu2+Xl5di+fTs2bNggzUASEH0Pr7frOJ87dw5OpxMHDx6Ew+FAe3s7zGYzfvCDH+DevXsAALvdDgCIjIwUOx4RERERAejq6sI//uM/wmq14vDhwzh37pzUIwWM6Cu8j67jrNfrXdZxrq2txZNPPomVK1cCePgDbj09Pdi0aROsVivMZjN0Oh3i4+NRVFQk3BphMpmQmZmJFStWiB2PiIiIiADo9XocOHDA5W/YQ4Xo4J1uHecjR47AYDBg5cqVaGtrQ15ennD1dtzAwAA0Gg2ee+45HDp0CE6nE83NzTh9+rTY0YiIiIgIwO3bt3H+/Hmo1WpYrVbk5uYKP0cVClRjE2/AVSibzQatVovzcUmYGxYu9ThERESkEEOjTuT2tAoX4QJlvF3++JMfQRMZAdv9B0j4yOSXOXbv3o39+/cL2z/+8Y+FC5ShQDZLCxMRERGRf3z66ae4ceOGsD3xCVvBTvQtDURERETkO/5YaW3Hjh1ITU3Fz3/+c2i1WvziF78QdT6lYfASERERSUiTtxSaOZHA8H3gI9OkdQX27NmDkpISUa+xbds2NDQ0oKamBoODg1i3bp2o8ykNg5eIiIhIRny90trzzz+Pt956C9XV1QgLC0NZWRk2b96M69evY9GiRT6dXa4YvEREREQy4uuV1j799FOsX78ec+bMAQCUlJTgu+++Q0NDQ8gEL39ojYiIiCiIJSUl4fr16y77nE4n0tPTpRlIArzCS0RERBTEfvjDHyI3Nxfvvvsu9Ho9HA4HsrOzp1wVNxgxeImIiIiC3NatW7F161apx5AMb2kgIiIiCgGDg4PIz89HR0eHy36LxYLDhw+jpKQEOTk5MBqNEk3oP7zCS0RERBTkKisr0dHRgVOnTuHQoUPC/uHhYZw5cwalpaUAgJMnTyI3NxctLS1YuHChVOP6HK/wEhEREQW5wsJCt8/ybW1tRVlZGVpbWwEAOTk5GBkZgclkCvCE/sUrvEREREQy4o+V1qayatUqmEwmLFmyBACE2x2WLl3ql9eTCq/wEhEREUlIZciAKuNHUBkyAADx8fHQarXCr/HbDfzy2ioVMjMzoVKpAABlZWXYuXMnUlJS/PaaUuAVXiIiIiIZ8fVKay+++KJHr1tZWYkFCxbgwIEDng+rEAxeIiIiIhnx9Uprnjh37hycTicOHjyIe/fuwWq1IjEx0SfnlgPe0kBEREQUwurr69HT04NNmzbBarXiwoUL+NOf/iT1WD7FK7xEREREQe7jjz9GfX09AOC9995DVlYW3n77bbS1tSEvLw92u93l+IGBASnG9BsGLxEREVGQe+211/Daa6/h6NGjLvsXL1486akQwcgnwdvQ0IDq6mqkpKTAZDKhuLgYixYt8uo4T89BRERERN4bHBzET3/6U/zqV7/C008/7fK53/zmN7BarYiPj4fT6URhYaFEU/qH6OB1OBzYsmULLBYLdDodkpOTUVBQgLq6Oo+P8/QcREREROS9qVZaA4APP/wQbW1t2L9/P1paWpCamoqCggLhUWXBQHTw1tfXQ6PRQKfTAQDS0tJgNpvR29sr7JvpuMbGRo/OQURERETeG79iu3fvXpf9DocDxcXF+PLLLwEASUlJuHHjRlDFLuCD4G1vb8f8+fOF7fDwcERHR6OpqcklVqc7ztNzPMrhcMDhcAjboXD/CREREQW/QK60dvXqVdy9exctLS24du0aGhsb8eKLLwbVI8kAHzyW7M6dO1Cr1S771Go1+vv7PT7O03M8qrS01GUVkvj4eFHfBxEREZEU7s5bh2+jn8fdeesABHaltfHHj0VGRmLbtm14//338corrwTdhUTRV3i1Wi3GxsZc9g0ODiImJsbj46xWq0fneFRxcTF27dolbNtsNkYvERERKV4gV1rTarUAAIPBAACYN28eRkdHceXKFWzcuNHb0WVLdPAuW7YMFRUVwrbD4YDdbkdCQoLHxz148MCjczzKn5f3iYiIiKQSyJXWUlJSoFKp4HQ6hX0Tt4OB6FsasrKy0NfXh66uLgCA0WiEwWBAQkICamtr8dVXX8143HSfIyIiIiL/iIuLw/r162EymQAA33zzDVQqFV544QWJJ/Mt0Vd4IyIiUFVVhX379iEjIwNGoxHV1dUAgCNHjsBgMGDlypXTHjfd54iIiIhInKlWWgOAqqoq7NmzBzdv3kRbWxtqamowd+5cKcf1OdXYxJtnFcpms0Gr1eJ8XBLmhoVLPQ4REREpxNCoE7k9rRgYGPD4VgJfGG+X231NiNZEw26zY1HsswGfIxRwaWEiIiKiIGexWHDlyhXY7XZcu3YN77//PtavXw8gNFa7ZfASERFRyFiVs2DSPtv9B8BHrRJMExjDw8M4c+aM8HizkydPIjc3Fy0tLYiJiQmJ1W4ZvEREREHOXeRR6GhtbUVZWRl+9rOfISkpCTk5ORgZGYHJZMITTzwREqvdMniJiIgmYCCSlHy90tqqVatgMpmwZMkSAEBHRwcAYOnSpfjiiy+8Xu1WiRi8REQUcAxKou9Zeh7HHPvjGLY/AIBJC2nt2bMHJSUlsz6/SqVCZmamsF1WVoadO3ciJSUFFy5c8Hq1WyVi8BIRhRCGJpH8+XOltcrKSixYsAAHDhwA4PmKuUrH4CUikhgjlIge5a+V1s6dOwen04mDBw/i3r17sFqtHq+Yq3QMXiIiDzBKiUjJ6uvr0dPTg02bNsFqtcJsNkOn07msdqvX64N2tVsGLxEFJQYqEdFDbW1tyMvLg91ud9k/MDAQMqvdMniJSHYYq0REvrN48eJJT354VHZ2NrKzswEAr7/+eqDGCigGLxH5BaOViHxF8/Iz/n2B4fvARyb/vgZJisFLRDNivBIREIDwJL+ZbmnhR+3evRt5eXlYt26dBFP6D4OXKEQxYomCAyOUZjLd0sILFy4Ujrt8+TKOHz+O3NxcqUb1GwYvUZBhyBLJD6OUpDTd0sKvvvoqgIeru924cQPLly+XeFr/YPASKQRDligwGKcktUAuLTyuoqICO3bswMmTJ2f9OnLG4CWSCQYt0ewxUknJar/oQtSceXAMDwII7NLCAFBTU4OcnBxRUS13DF6iAGLUErliqBJNFsilhXt6enD37l1s2rTJB5PLF4OXyMcYtRRKGKxEvhfIpYVra2thtVpRVlYGAGhubsaJEycwMjISVD+8xuAlmiWGLQUThisplSrjR+LPYR8BcFz0eeRsqqWFCwoKXI4rLy/H9u3bsWHDBmkG9RPZBK/FYsFTTz2FhQsXwmq1orOzExkZGVKPRcSwJcVhvJKc+SJQyTvTLS08rqurC0eOHIHVasXhw4cxPDyMjRs3BnpUvxEdvA0NDaiurkZKSgpMJhOKi4uxaNEit8dO99Djo0ePoqqqCgCQmpoalOs4k/wxbkluGK8kB4xUZZtpaWEA0Ov1OHDggHBvb7ARFbwOhwNbtmyBxWKBTqdDcnIyCgoKUFdXN+nYmR56nJiYiO7uboyOjkKv14sZi8gjjFuSCiOWAoWhSuOmu+h4+/ZtnD9/Hmq1GlarFbm5ucITHIKFqOCtr6+HRqOBTqcDAKSlpcFsNqO3t1fYN86Thx7HxcV5/NoOhwMOh0PYnulPLhTaGLcUCAxZ8jUGK/nCTBcdy8vLsX//fuH4H//4x0H3N+2igre9vR3z588XtsPDwxEdHY2mpqZJwTvTQ4+HhoZw7NgxREVF4dKlSygqKpp2tY/S0lLs3btXzPgUxBi45EsMWRKD0UpSm+mi46effort27dj9erVAAC1Wi3xxL4nKnjv3Lkz6R+KWq1Gf3//pGNneuhxfn4+0tPTAQCxsbHYvHkzbt68ibCwMLevXVxcjF27dgnbNptt0oOaKXQwcGm2GLPkKYYrBUqgV1rbsWMHUlNT8fOf/xxarRa/+MUvZv1acjVl8HryIGOtVouxsTGX/YODg4iJiZn2RSc+9BgA1q5dK3yclJSEW7duobGxEWvWrHF7DrFvPikbA5c8wZilqTBeSU7+cKkVEZFz8OD+MIDAr7S2bds2NDQ0oKamBoODg1i3bt2sX0uupgxeTx5k/Nlnn6GiokLYdjgcsNvtSEhImPJr3D302Gq1Ijs7W7hiPP7YjMjISG++FwpyjFyaiEFLAOOVHvo2+vlZf619zD7zQQEUyJXW7HY73nrrLVRXVyMsLAxlZWXYvHkzrl+/PuVTt5RI1C0NWVlZ6OvrQ1dXF/R6PYxGIwwGgxC8tbW1ePLJJ7Fy5UoAUz/0OD4+HkVFRcLtESaTCZmZmVixYoXIb4+UjpFLjNrQxIgNPWKCNdgEcqW1//mf/8H69esxZ84cAEBJSQm+++47NDQ0MHiFL46IQFVVFfbt24eMjAwYjUaXn+o7cuQIDAYDVq5cOe1DjzUaDZ577jkcOnQITqcTzc3NOH36tJjRSMEYuaGHURsaGLGhgeEqT1NddExKSsLvfvc7l2OdTqfwc1XBQjU28SZchbLZbNBqtTgfl4S5YeFSj0NeYuQGP0Zt8GLIBqdQCle7zY5Fsc8KF+ECZbxdMrdVCvfwXv1toc/naGtrw5o1a6a86PjJJ5/g888/h16vh8PhQGpqKrKzs332+nIgm6WFKfQwcoMTwzZ4MGSDRyjFK00200prW7duxdatWwM4UeAxeCngGLrBgWGrbIxZZWPAkrfq6urQ29uLoaEhXLhwAbt37xaekDXdKmzBgsFLAcHIVS6GrfIwZpWHAUv+9sorr+BXv/oVCgsLcffuXbz00kvo6uqacRW2YMHgJb9i6CoL41YZGLTKwIhVhqvdj2PY/kDqMfyurq4OixcvFrYfPHj4Pc+0CluwYPCSXzB05Y9xK18MWnljyMrX1e7HpR5hVpzfjbj8r69XWgMerrY2rqamBvv37xf2T7cKW7Bg8JJPMXTliXErP4xa+WHIyotS49UbkZGRWLBgASynvn+W7rx583y+0tq4zz//HGfPnoXBYBB+SG2mVdiCBYOXfIKhKx+MW/lg1MoDQ1YeQiFgvaVWq3H79m3cv39f2Dc2NgaVSuVynK9WWktLS0NaWhrKy8uxbt061NbWYt68ecKxE1dhCyZ8Di+JwtCVHgNXWoxaaTFmpRUsETtst2PbmsUBfw5voJjNZrz00kswm81YtGgR/vd//xfLly/Hf/zHfyA/Px/Aw1XYuru78cYbbwirsCUmJko7uA/xCi/NCkNXOgxcaTBsA48xK41giVj6XkREBJ599lnExcUBeLgQxWOPPYbVq1cDmHoVNgYvhSyGbuAxcAOLYRs4DNrAYsiGrtTUVBQWFuLXv/41wsLCcOXKFZw9exZLly5FW1sb8vLy3K7CFkx4SwN5jLEbGAzcwGDY+h+DNjAYsuIF+y0NxCu85AGGrn8xcP2LYetfjFr/Ycj61yVLp/CxY3hQwkkoEBi8NC3Grn8wcv2Dcet7DFr/YMz6x6MRS/QoBi+5xdD1LQaubzFsfYtR61uMWd9ixJIvMHhpEsaubzByfYNx6zsMW99g0PoGQ5YCicFLAoaueIxc8Ri44jBqxWPQisOQJTli8BIAxq4YjNzZY9zOHsN29hi0s8eYJaVi8IY4hu7sMHJnh4HrPYbt7DBqvceYpWAW0OC1WCx46qmnsHDhQlitVnR2diIjIyOQI9AjGLveYeR6h3HrHYatdxi03mPQUigTHbwNDQ2orq5GSkoKTCYTiouLsWjRIrfHHj16FFVVVQAervpRXV09q/OQeIxdzzByPcfA9Rzj1nMMW88wZj13/ULzpH0P7g9LMAkFkqjgdTgc2LJlCywWC3Q6HZKTk1FQUIC6ujq3xycmJqK7uxujo6PQ6/WzPg/NHkPXMwzdmTFwPcO4nRmjdmYMWs+4i1kiQGTw1tfXQ6PRQKfTAQDS0tJgNpvR29sr7JsoLi7OJ+dxOBxwOBzC9viaz0Ojo2K+paC24m90sN1/IPUYsqXJWyp8bBu+L+Ek8qQyTLj9yD4izSAydXfeOvefsNnd7w8xlp7popb/jGq/6JJ6BFn7w6VWv57/wXcPfz8bGxvz6+uQdEQFb3t7O+bPny9sh4eHIzo6Gk1NTW5DdWhoCMeOHUNUVBQuXbqEoqIiLF++3OvzAEBpaSn27t07aX++tU3MtxTcPvLvbxiK95FJ6glk7rjUAxAR+dWf//xnaLVaqccgPxAVvHfu3IFarXbZp1ar0d/f7/b4/Px8pKenAwBiY2OxefNm3Lx50+vzAEBxcTF27dolbPf39yMhIQEdHR38l1XGbDYb4uPj0dnZCY1GI/U45AbfI2Xg+6QMfJ+UYWBgAE8//bTLxTcKLlMG7wcffIDbt29P+YVZWVnQarWTLv8PDg4iJibG7desXbtW+DgpKQm3bt1CY2Oj1+cBgKioKERFRU3ar9Vq+ZuKAmg0Gr5PMsf3SBn4PikD3ydlCAsLk3oE8pMpg/edd96Z8Ys/++wzVFRUCNsOhwN2ux0JCQmTjjWbzcjOzhau5trtD+/ZioyMxLJlyzw+DxERERGRN0T9USYrKwt9fX3o6np4s73RaITBYBBCtba2Fl999RUAQK/Xo6ioSLh1wWQyITMzEytWrJjxPEREREREsyXqHt6IiAhUVVVh3759yMjIgNFodHm27pEjR2AwGLBy5Uro9Xo899xzOHToEJxOJ5qbm3H69GmPzuOJqKgo7Nmzx+1tDiQffJ/kj++RMvB9Uga+T8rA9yn4qcb4DA4iIiIiCmK8O5uIiIiIghqDl4iIiIiCGoOXiIiIiIIag5eIiIiIglpQBG9DQwN27tyJqqoqvPnmm9MumEHSGhwcRH5+Pjo6OqQehdywWCw4fPgwSkpKkJOTA6PRKPVI5EZdXR0++eQTVFZW4tVXX8Xvf/97qUeiGezevRuXL1+Wegxyw2KxoKOjA06nE93d3TCbzVKPRH6g+OB1OBzYsmULiouL8frrr6OgoAAFBQVSj0VuVFZW4tChQzh16hRGR0elHocmGB4expkzZ/Duu++ipKQEb7zxBnJzc9Hd3S31aDTBK6+8gnv37qGwsBDp6el46aWXpB6JpnH58mUcP34cTqdT6lHIjaNHjyIhIQERERF4+eWXubxwkFJ88NbX10Oj0UCn0wEA0tLSYDab0dvbK/FkNFFhYSFKSkqkHoOm0NrairKyMrS2tgIAcnJyMDIyApPJJPFkNFFdXR3y8/OF7QcPHkg4DU3HZrPhxo0bWL58udSj0BQSExPR3d2Nzs5ONDQ0IDk5WeqRyA8UH7zt7e0ufxoLDw9HdHQ0mpqaJJyKSHlWrVoFk8mEJUuWAIBw28nSpUulHIvcWLVqFebOnQsAqKmpwf79+yWeiKZSUVGBN954Q+oxaAZxcXHQ6/VSj0F+JGqlNTm4c+eOsFzxOLVajf7+fmkGIlIolUqFzMxMYbusrAw7d+5ESkqKhFPRVD7//HOcPXsWBoMBW7dulXoccqOmpgY5OTlcvUvmhoaGcOzYMURFReHSpUsoKiriFfkgpPjg1Wq1mLhY3ODgIGJiYiSaiEj5KisrsWDBAhw4cEDqUWgKaWlpSEtLQ3l5OdatW4fa2lrMmzdP6rHoL3p6enD37l1s2rRJ6lFoBvn5+UhPTwcAxMbGYvPmzbh58ybCwhT/l+D0CMW/m8uWLUNfX5+w7XA4YLfbkZCQIOFURMp17tw5OJ1OHDx4EA6HA+3t7VKPRI8wm83Q6XTC02g2bNiAL774AhcuXJB4MnrUxYsX0d3djbKyMpSVlaG5uRknTpzA+fPnpR6NJli7dq3wcVJSEm7duoXGxkYJJyJ/UPwV3qysLPT19aGrqwt6vR5GoxEGg4HBSzQL9fX16OnpwaZNm2C1WoW4SkxMlHo0+ouIiAg8++yziIuLAwC0tbXhsccew+rVqyWejB418WlB5eXl2L59OzZs2CDNQOSW2WxGdna2cHuk3W4HAERGRko8Gfma4oM3IiICVVVV2LdvHzIyMmA0GlFdXS31WOTGxx9/jPr6egDAe++9h6ysLLz99tsST0Xj2trakJeXJ/yGP25gYECiicid1NRUFBYW4te//jXCwsJw5coVnD17lj9cKFNdXV04cuQIrFYrDh8+jOHhYWzcuFHqsegv9Ho9ioqKhJ8FMplMyMzMxIoVKySejHxNNTbxBlgiIiKiEFFTU4Nbt27B6XSiubkZpaWliI2NlXos8jEGLxEREREFNcX/0BoRERER0XQYvEREREQU1Bi8RERERBTUGLxEREREFNQYvEREREQU1Bi8RERERBTUGLxEREREFNQYvEREREQU1Bi8RERERBTUGLxEREREFNQYvEREREQU1Bi8RERERBTUGLxEREREFNQYvESkOFevXsWSJUugUqkm/Tp69KjU4xERkcxESD0AEZE3ent7cfDgQXzyySeIiYnBL3/5S/zLv/wLAEClUiE+Pl7iCYmISG4YvESkKF988QUqKyvxxBNPYGhoCACQmJgo7VBERCRrDF4iUpS/+7u/Ez7+7LPP8Mwzz0g4DRERKQHv4SUixbpw4QJ++MMfSj0GERHJHIOXiBTrwoULWL16tbB9/vx5xMXF4eLFi6ipqcG2bdtQW1uL3/3ud9i1axfq6+sBAMPDw8jOzkZdXR3eeecdtLS04Le//S2WLFmCf/3Xf0VTUxOSkpJQWVkp1bdGREQ+xFsaiEiRmpubcefOHZf7d3Nzc5GcnIx58+bhRz/6Ea5evYorV67gn/7pnxAVFYUTJ04gKysLc+bMwZkzZzBv3jzcvXsXhw8fRnl5OVavXo1/+Id/wBNPPIFr167hySeflO4bJCIin+EVXiJSpK+//hobN250+7mFCxcCAKKiooSnNkRFReHevXvCMR0dHaiqqkJzc7Owf/ny5Xj++edhNBoZu0REQYTBS0SK9NJLL+Hjjz+e1deePn0au3fvxvbt25GSkgIA+Oqrr9DZ2Ynk5GQ89thjOH36tC/HJSIiCTF4iShoXLx4Ef/3f/+Hf/u3f8Mf/vAHGI1GnD17Fl999RU+/vhjfPnllzCbzdDpdJgzZw7Onz+PwcFBfPPNN/jP//xP/PVf/zXWrl2Ln/zkJ/jpT3+KgwcPYmxsTOpvi4iIRFKN8XdzIiIiIgpivMJLREREREEtoMFrsVjQ0dEBp9OJ7u5umM3mQL48EREREYUgnwRvQ0MDdu7ciaqqKrz55pu4ffu22+OOHj2KhIQERERE4OWXX8b8+fO9PgcRERERkTdEP4fX4XBgy5YtsFgs0Ol0SE5ORkFBAerq6iYdm5iYiO7uboyOjkKv18/qHERERERE3hAdvPX19dBoNNDpdACAtLQ0mM1m9Pb2CvseFRcXJ/ocwMNIdjgcwvbo6Ci+/fZb/NVf/RVUKpXYb4uIiIhCxNjYGOx2O+Li4hAWxh9vCkaig7e9vd3l1oTw8HBER0ejqalpUqwODQ3h2LFjiIqKwqVLl1BUVITly5d7dY5xpaWl2Lt3r9jxiYiIiAAAnZ2dLn8DTcFDdPDeuXMHarXaZZ9arUZ/f/+kY/Pz85Geng4AiI2NxebNm3Hz5k2vzjGuuLgYu3btErYHBgbw9NNPI+2VDxDx2OOz/4aC1KrsJKlHkLXnU/kb3FTS40akHkHWnhi8LPUIsjbWwB9OnortbIvUI8jazf/XG7DXGhodRb61DdHR0QF7TQos0cGr1WonPZh9cHAQMTExk45du3at8HFSUhJu3bqFxsZGr84xLioqClFRUZP2Rzz2OCIi53j7bQS9r+t7sOZvk6UeQ7au3uwHAGSnx0s7iAz9we76H4DMhQzgRz3QTF7eeL69VoJJZOqF593uHjObAjyI/GhefXbaz9vO3ArQJPKUkbtwxmP+cNHq09fkLZHBS3TwLlu2DBUVFcK2w+GA3W5HQkKCy3FmsxnZ2dnC1Vy73Q4AiIyM9PgcJM71C82M3hlcsnQKHzN+3bva7fo3KAzgyb6Nnhx5jGBXqowfud3PEP6e5uVnpv18qAcxAKzKWTDjMb6OYlIm0cGblZWFvr4+dHV1Qa/Xw2g0wmAwICEhAbW1tXjyySexcuVK6PV6FBUVCbcumEwmZGZmYsWKFUhOTp7yHORb1y80AwDD1wPj8cvwnR4D2DPuIhhgCE80VQgDjOGJGMSe8SSKbfcfAB+1BmAakopPlha+dOkSTp06hYyMDBiNRvzyl7/E4sWLsXnzZhgMBrz//vsAgJqaGty6dQtOpxPNzc0oLS1FbGzstOfwlM1mg1arRea2St7S4CFGr/cYv95jAHuPEew9xrD3GMTfs91/gISPTBgYGIBGo5F6HPIDnwSvHDB4Z4fRO3uM39ljBM8OQ3j2GMSzEypRzOANfgxeYvT6AONXHAawOAxhcRjD4gRDFDN4gx+DlwAwen2J8esbjGDfYAyLxyD2DTmHMYM3+DF4yQXD17cYv77FCPYdhrDvMIh9S4owZvAGPwYvTcLo9Q/Gr38wgn2PMex7jGLf82UYM3iDH4OX3GL0+h8D2H8Ywf7DGPYfRrH/zBTHDN7gx+ClaTF8A4Px63+MYP9jDPsfo9g/bMP38cTW4wzeICZ64QkKblydLTAeXeENYAD7w8QFMsYxhH1nqsU1xjGIxZtuYY5HMYyJXDF4aUaM3sBjAAcOQzhwGMSBwzAOLYODg/jpT3+KX/3qV3j66aeF/b/5zW9gtVoRHx8Pp9OJwsJCCaeUFm9pIK8wfKXH+JUWQ1hajGLpBHMcK/mWhsrKSnR0dGDv3r24ffs2EhMTAQAffvgh2trasH//frS0tCA1NRX9/f1QqVTSDiwRBi95jdErP4xgeWAMS49BLA9Ki2MlB+84lUolBK/D4cBTTz2FL7/8EgkJCRgbG8Mf//hHIYZDEW9pIK9dv9AMgOErJ7wFQh6muj0CYAwHyky3TYxjGPuXp7dUjFNaIPvSvXv3cP/+fWF7bGxs0lXYqKgoREVFeXzOq1ev4u7du2hpacG1a9fQ2NiIF198kcFLNBu8t1e+GMDywxiWF0/CmFEcOKEayPfu3cPCufPw7ahT2Ddv3jwMDg66HLdnzx6UlJR4fN4//elPAIDIyEhs27YNeXl5eOaZZ/D1118r9gq2WAxeEoVXe5VhYgADjGA5YQzLk6dXiwHGcaB5G8iAPCP5/v37+HbUiZMLFmNuWBiGRkeRb21DZ2enS5h6c3UXALRaLQDAYDAAeBjRo6OjuHLlCjZu3Oi7b0BBGLzkE7zaqzyMYGWYLoYBBrFc8FYK+ZsuklX2EQDHAzbLRHPDwjA3LFzY1mg0oq7EpqSkQKVSwen8/srxxO1Qw+Aln+HVXuVjBCsPg1hZvLlqDDCQaXbi4uKwfv16mEwm5OTk4JtvvoFKpcILL7wg9WiSYfCSzzF8g4u7CAYYwkoxUxADjGI5YyDTTD7++GPU19cDAN577z1kZWXh7bffRlVVFfbs2YObN2+ira0NNTU1mDt3rsTTSoePJSO/Y/iGFoZw8GIYBx8G8kM2+wh+sPitgD+WbLxdzsclYW5YOIZGncjtaVX049Hkild4ye94xTe08Ipw8OLV4uDj7RVkgJEsR1OttDZu9+7dyMvLw7p16ySYTh5kE7wWiwVPPfUUFi5cCKvVis7OTmRkZEg9FvkQwze0MYRDgydRPI5xrEyzieRxjGXfG19p7dSpUzh06NCkz1++fBnHjx9Hbm6uBNPJh0+Ct6GhAdXV1UhJSYHJZEJxcTEWLVo06TiLxYIrV67Abrfj2rVreP/997F+/XoAwNGjR1FVVQUASE1NRXV1tS9GIxli+NKjpgphgDEc7BjHoYex7HuFhYUAgL179076nM1mw40bN7B8+fJAjyU7ooPX4XBgy5YtsFgs0Ol0SE5ORkFBAerq6lyOGx4expkzZ1BaWgoAOHnyJHJzc9HS0oKFCxciMTER3d3dGB0dhV6vFzsWKcB4+AKMX3JvuhgGGMShxJs4BhjIwUhMLAPKCmabzeay7e1Ka+MqKiqwY8cOnDx50lejKZbo4K2vr4dGo4FOpwMApKWlwWw2o7e3V9gHAK2trSgrK8PPfvYzJCUlIScnByMjIzCZTHj11VcBPHyMhqccDgccDoewPfFfDlIWXvWl2WAQ01QYyDTRdMFsH7MHcJLJVvyNDprICNjuPwA+akV8vOvvXd6utAYANTU1yMnJmVUoByPRwdve3o758+cL2+Hh4YiOjkZTU5NL8K5atQomkwlLliwBAHR0dAAAli5dCgAYGhrCsWPHEBUVhUuXLqGoqGjaS/ClpaVuL9+TsvGqL/kSg5g85W0gj2Mokz+IXWmtp6cHd+/exaZNm3w9mmKJDt47d+5ArVa77FOr1ejv73fZp1KpkJmZKWyXlZVh586dSElJAQDk5+cjPT0dABAbG4vNmzfj5s2bCAsLc/u6xcXF2LVrl7Bts9km/YmIlI3xS/42UxADjGKaHkOZ/EHsSmsXL16E1WpFWVkZAKC5uRknTpzAyMhIyP7wmujg1Wq1mPgo38HBQcTExEz5NZWVlViwYAEOHDgg7Fu7dq3wcVJSEm7duoXGxkasWbPG7Tlmez8LKRPjl6TiSRQDDGPyzmxDGWAs08wKCgpctsvLy7F9+3Zs2LBBmoFkQHTwLlu2DBUVFcK2w+GA3W5HQkKC2+PPnTsHp9OJgwcP4t69e7BarbBarcjOzhauFtvtD++liYyMFDseBSHGL8kRw5gCRUwsj2M0B4+pVloDgK6uLhw5cgRWqxWHDx/G8PAwNm7cKOW4khG90tqDBw+QkJAAi8UCvV6P//qv/8KePXtw7do11NbW4sknn8TKlSsBPPwBt+bmZuTl5QEAzGYzdDod4uPj8e///u/Ys2cPgId/Evnoo49gMpk8noMrrRHAAKbgw0AmOQuWcLbb7FgU+6xkK6398Sc/En5oLeEjE1da8wPRV3gjIiJQVVWFffv2ISMjA0ajUXiG7pEjR2AwGLBy5Uq0tbUhLy9PuHo7bvxNfe6553Do0CE4nU40Nzfj9OnTYkejEMSrvxRsPL1yPI6BTIHki6vN44IlnqXgbqW16dY+CEWir/DKBa/wkicYwUSTMZIpmHkS0kq+wju+0trevXtx+/ZtJCYmYnh4GP/8z//ssvbB3//93wtrH4QiBi+FNAYwkTiMZQoGw3Y7tq1ZrMjgHadSqYTgbWxsxOrVq9HS0oKkpCTY7XZoNBp88sknwtoHocYnSwsTKdWjt0A8iiFM5Blvb7mYiMFMNJnYldZmWvsgFDF4idxwF8KMYCLfExvM4xjOpGSavKXQzIkEhu8DH5lEr7Q209oHoYjBS+Shqa4GA4xhIqn5KpwBxjNJT+xKa49yt/ZBKGLwEvkAY5goePgynh/FkCZPiV1pbZy7tQ8SExPFD6hADF4iP5suhgEGMVGo8FdIj2NQ06Pq6+vR09ODTZs2wWq1CmsfMHiJSBIzBTHAKCaimfk7qB/FuJYPdyut/e3f/u2Uax+EKgYvkQJ4EsUAw5iIAiOQcT0RY9vVa6+9htdeew1Hjx512T/xSQ+hjsFLFEQ8DeNxDGQiUhp/xLZjeNDn5wwkdyutNTQ0oLq6GikpKTCZTCguLsaiRYsknlQ6DF6iEOZtII9jKBMRycP4SmunTp3CoUOHAAAOhwNbtmyBxWKBTqdDcnIyCgoKUFdXJ+2wEmLwEpHXZhvK4xjMRES+UVhYCADYu3evsK++vh4ajQY6nQ4AkJaWBrPZjN7eXmFfqGHwElHAiQ3mRzGeiSjYiF1prb29HfPnzxe2w8PDER0djaamJgYvEZES+TKeJ2JME1EgqAwZUEU/DpV9BMBx0Sut3blzB2q12mWfWq1Gf3+/+GEVisFLRDQFf8a0OwxsIgLEr7Sm1WoxNjbmsm9wcBAxMTE+mU+JGLxERDIR6MCeCQOcSBpiV1pbtmwZKioqhG2HwwG73Y6EhARfjKdIDF4iInJLbgHuKYY6hbqsrCz09fWhq6sLer0eRqMRBoOBwUtERBQslBrqYjDyQ5e7ldbefvttVFVVYd++fcjIyIDRaER1dbXEk0pLNTbxJg+Fstls0Gq1yNxWiYjIOVKPQ0RERArx4P4wrv62EAMDA6JuJfDWeLv0t5VDE/04bPYR/GDxWwGfIxT45Aqvp6t5THccVwQhIiIi8s7t27dx/vx5qNVqWK1W5ObmIiUlReqxZEd08Hq6msd0x3FFECIiIiLvlZeXY//+/cL2j3/845C/fcGdMLEnmG41D0+P8/QcRERERPS9Tz/9FDdu3BC2Jz5/lx4SfYXX09U8pjtuNiuCOBwOOBwOYXviqiRERERESuTNSms7duxAamoqfv7zn0Or1eIXv/hFIEZUHNFXeD1dzWO642azIkhpaSm0Wq3wa+KqJERERERKcHfeOnwb/TzuzlsHAIiPj3dpnNLS0im/dtu2bdi6dStqampQXl6OP//5z4EaW1FEX+H1dDWP6Y6zWq1erwhSXFyMXbt2Cds2m43RS0RERIrn6Uprdrsdb731FqqrqxEWFoaysjJs3rwZ169f5w/+TyD6Cu+yZcvQ19cnbE+1msd0x3l6jkdFRUUJK5GIXZGEiIiISC4m9s1Uwfvf//3fWL9+PebMmQO1Wo2SkhLs2LEDDQ0NAZ5Y/kQH76OreQBwWc2jtrYWX3311YzHTfc5IiIiIposKSkJ169fd9nndDqRnp4uzUAyJvqWhoiIiClX8zhy5AgMBgNWrlw57XHTfY6IiIiIJvvhD3+I3NxcvPvuu9Dr9XA4HMjOzuYFQze40hoREVGIC/WliR3Dg/jw/8uSbKW1231NiNZEw26zY1Hss1xpzQ98stIaERGRUoV67JHy/eY3v4HVakV8fDycTicKCwulHkl2GLxERCQKg5FIOh9++CHa2tqwf/9+tLS0IDU1FQUFBVCpVFKPJisMXiIihWBYEtGjHA4HiouL8eWXXwJ4+ENsN27cYOy6weAlIvISw5OI/MnTldauXr2Ku3fvoqWlBdeuXUNjYyNefPFFJCYmBmhS5WDwElHQYZASkZJYeh7HHPvjGLY/AIBJC2nt2bMHJSUlk77uT3/6EwAgMjIS27ZtQ15eHp555hl8/fXX/KG3CRi8RCQ5BioR0fc8XWlNq9UCAAwGAwBg3rx5GB0dxZUrV7Bx40b/D6ogDF4iEoWxSkTkW56uIJuSkgKVSgWn0ynsm7hNDzF4iQgAw5WISGni4uKwfv16mEwm5OTk4JtvvoFKpcILL7wg9Wiyw+AlClIMWCIKNdnp8TMf5Maw3Y4PfTxLoFRVVWHPnj24efMm2traUFNTg7lz50o9luwweIkUhBFLRHI32+ik2Xn66adx7NgxqceQPQYvkUwwZonIHxigoWP37t3Iy8vDunXrpB5Fdhi8RAHAmCUidxij5CuXL1/G8ePHkZubK/UossTgJfIRRi1R8GKYkpzZbDbcuHEDy5cvl3oU2WLwEnmJYUskfwxUUjJPV1obV1FRgR07duDkyZP+Hk2xGLxEU2DYEgUeQ5VCUe0XXYiaMw+O4UEAnq+0BgA1NTXIycmZNoiJwUsEgHFL5AuMVSLf8HSltZ6eHty9exebNm0K1GiKxeClkMO4JZoew5WCXebCEZdtu21kiiOl4elKaxcvXoTVakVZWRkAoLm5GSdOnMDIyAh/eG0CBi8FNcYthTKGKyndxDAlVwUFBS7b5eXl2L59OzZs2CDNQDLG4KWgwsClYMV4JSVgoEqjq6sLR44cgdVqxeHDhzE8PIyNGzdKPZasyCZ4LRYLnnrqKSxcuBBWqxWdnZ3IyMiQeixSAEYuKRUjluSCoapser0eBw4cwIEDB6QeRbZEB29DQwOqq6uRkpICk8mE4uJiLFq0yO2xFosFV65cgd1ux7Vr1/D+++9j/fr1AICjR4+iqqoKAJCamorq6mqxo1GQYuCSnDFiKdAYq0QzExW8DocDW7ZsgcVigU6nQ3JyMgoKClBXVzfp2OHhYZw5cwalpaUAgJMnTyI3NxctLS1YuHAhEhMT0d3djdHRUej1ejFjURBi5JLUGLLkLwxWEmO6i4n0PVHBW19fD41GA51OBwBIS0uD2WxGb2+vsG9ca2srysrK8LOf/QxJSUnIycnByMgITCYTXn31VQBAXFycx6/tcDjgcDiE7YkPaSblY+RSoDBmyRcYrhRoM11MpO+JCt729nbMnz9f2A4PD0d0dDSampomBe+qVatgMpmwZMkSAEBHRwcAYOnSpQCAoaEhHDt2DFFRUbh06RKKioqmXSKvtLQUe/fuFTM+yRRDl3yNQUveYLiSUnhyMZEeEhW8d+7cgVqtdtmnVqvR398/6ViVSoXMzExhu6ysDDt37kRKSgoAID8/H+np6QCA2NhYbN68GTdv3kRYWJjb1y4uLsauXbuEbZvNNmllElIORi6JwaClqTBeyZ359lqX7YhBef174unSwjNdTKTvTRm8H3zwAW7fvj3lF2ZlZUGr1WJsbMxl/+DgIGJiYqZ90crKSixYsMDlpwnXrl0rfJyUlIRbt26hsbERa9ascXuOmdaVJmVg6JInGLQ0jgFLwORgVbo/XGpFROQcPLg/DMDzpYVnuphI35syeN95550Zv/izzz5DRUWFsO1wOGC325GQkDDl15w7dw5OpxMHDx7EvXv3YLVaYbVakZ2dLVwxttvtAIDIyEhvvhdSCEYuucOoDV2M2NAUbNHqS54uLfwodxcT6XuibmnIyspCX18furq6oNfrYTQaYTAYhOCtra3Fk08+iZUrVwJ4+ENuPT092LRpE6xWK8xmM3Q6HeLj41FUVCTcHmEymZCZmYkVK1aI/PZIThi6xKgNLQzZ0MBw9T1PlxYe5+5iYmJiov8GVCBRwRsREYGqqirs27cPGRkZMBqNLs/PPXLkCAwGA1auXIm2tjbk5eUJV2/HDQwMQKPR4LnnnsOhQ4fgdDrR3NyM06dPixmNZIShG3oYtsGNIRucGK7KNNXFRAavK9XYxJtwFcpms0Gr1SJzWyUiIudIPQ6BoRsKGLbBhSEbPBiv3rHZR/CDxW8JF+EC9roT2uXB/WFc/W2hx3O0tbVhzZo1U15MpO/JZmlhCi6M3eDDuFU2xqyyMWDJncWLF3MdAg8xeMmnGLrKx7BVJgat8jBiyRcaGhpQXV2NlJQUmEwmFBcXY9GiRVKPJTsMXvIJhq4yMW6Vg0GrDIxYZRgzm1y3h+9LNIk4DocDW7ZsgcVigU6nQ3JyMgoKClBXVyf1aLLD4CXRGLvKwLiVNwatvDFk5WtivIaS+vp6aDQaYXXbtLQ0mM1m9Pb2TlrxNtQxeGnWGLryxsCVH0at/DBk5SVU49X53YjL/3q60lp7ezvmz58vbIeHhyM6OhpNTU0M3gkYvOQ1hq48MXDlgVErH4xZeQjViPVEZGQkFixYAMup7xf7mjdvnscrrY0v2PUotVqN/v5+f4yraAxe8gpjVx4Yt9Jj2EqLMSsdBqzvqNVq3L59G/fvf38P8djYGFQqlctxU620ptVqMfHpsoODg4iJifH9sArH4CWPMXalw8CVBqNWGoxZaTBkpaFWqyddpfXUsmXLUFFRIWw7HA7Y7XZhxVv6HoOXZsTQlQYjN3AYtoHFoA0cRmxwy8rKQl9fH7q6uqDX62E0GmEwGBi8bjB4aVqM3cBh4AYG49b/GLT+x5AlAIiIiEBVVRX27duHjIwMGI1GVFdXSz2WLHFpYZoSY9e/GLj+xbD1L0at/zBm/cd25pb7/fcfIOEjE5fkDWK8wkuTMHT9h5HrH4xb/2DU+h5j1j+mClmicQxecsHY9T1Grm8xbn2LUes7jFnfYsSSLzF4ScDY9R1Grm8wbn2DUesbDFrfYMiSFBi8BICx6wuMXHEYt+IxbMVh0IrHmCW5YvCGOIauOIzc2WPgzh7DdnYYtLPHkCWlY/CGMMbu7DByvce4nR2GrfcYtd5jzFIoYPCGKMaudxi53mHgeodh6x1GrXcYtEQBDl6LxYKnnnoKCxcuhNVqRWdnJzIyMgI5AoGx6ylGrucYuJ5h2HqOUes5Bq1n/nDROuXnhkadAZyEpCA6eBsaGlBdXY2UlBSYTCYUFxdj0aJFbo89evQoqqqqAACpqakuq4F4cx6aHYauZxi6M2PgzoxxOzNGrWcYtDObLmaJAJHB63A4sGXLFlgsFuh0OiQnJ6OgoAB1dXVuj09MTER3dzdGR0eh1+tnfR7yHmN3eozc6TFwp8e4nR7DdnoM2ukxZskXRAVvfX09NBoNdDodACAtLQ1msxm9vb3Cvoni4uJ8ch6HwwGHwyFsDwwMAAAefMf/ME+0KjsJjuFBqceQpedTH/7Ba9hul3gSeUmPc/3/kd0m0SAy9MTg5Un7+I/nobEGs9QjyJLtbIvUI8jWzf/XK/UIAICh0VEAwNjYmMSTkL+ICt729nbMnz9f2A4PD0d0dDSamprchurQ0BCOHTuGqKgoXLp0CUVFRVi+fLnX5wGA0tJS7N27d9L+z0+9I+ZbCkpXfyv1BPL1odQDEBGRbPz5z3+GVquVegzyA1HBe+fOHajVapd9arUa/f39bo/Pz89Heno6ACA2NhabN2/GzZs3vT4PABQXF2PXrl3Cdn9/PxISEtDR0cF/WWXMZrMhPj4enZ2d0Gg0Uo9DbvA9Uga+T8rA90kZBgYG8PTTT7tcfKPgMmXwfvDBB7h9+/aUX5iVlQWtVjvp8v/g4CBiYmLcfs3atWuFj5OSknDr1i00NjZ6fR4AiIqKQlRU1KT9Wq2Wv6kogEaj4fskc3yPlIHvkzLwfVKGsLAwqUcgP5kyeN95Z+ZbAz777DNUVFQI2w6HA3a7HQkJCZOONZvNyM7OFq7m2v9yz2RkZCSWLVvm8XmIiIiIiLwh6o8yWVlZ6OvrQ1dXFwDAaDTCYDAIoVpbW4uvvvoKAKDX61FUVCTcumAymZCZmYkVK1bMeB4iIiIiotkSdQ9vREQEqqqqsG/fPmRkZMBoNLo8W/fIkSMwGAxYuXIl9Ho9nnvuORw6dAhOpxPNzc04ffq0R+fxRFRUFPbs2eP2NgeSD75P8sf3SBn4PikD3ydl4PsU/FRjfAYHEREREQUx3p1NREREREGNwUtEREREQY3BS0RERERBjcFLREREREEtKIK3oaEBO3fuRFVVFd58881pF8wgaQ0ODiI/Px8dHR1Sj0JuWCwWHD58GCUlJcjJyYHRaJR6JHKjrq4On3zyCSorK/Hqq6/i97//vdQj0Qx2796Ny5cvSz0GuWGxWNDR0QGn04nu7m6YzWapRyI/UHzwOhwObNmyBcXFxXj99ddRUFCAgoICqcciNyorK3Ho0CGcOnUKo6OjUo9DEwwPD+PMmTN49913UVJSgjfeeAO5ubno7u6WejSa4JVXXsG9e/dQWFiI9PR0vPTSS1KPRNO4fPkyjh8/DqfTKfUo5MbRo0eRkJCAiIgIvPzyy1xeOEgpPnjr6+uh0Wig0+kAAGlpaTCbzejt7ZV4MpqosLAQJSUlUo9BU2htbUVZWRlaW1sBADk5ORgZGYHJZJJ4Mpqorq4O+fn5wvaDBw8knIamY7PZcOPGDSxfvlzqUWgKiYmJ6O7uRmdnJxoaGpCcnCz1SOQHig/e9vZ2lz+NhYeHIzo6Gk1NTRJORaQ8q1atgslkwpIlSwBAuO1k6dKlUo5FbqxatQpz584FANTU1GD//v0ST0RTqaiowBtvvCH1GDSDuLg46PV6qccgPxK10poc3LlzR1iueJxarUZ/f780AxEplEqlQmZmprBdVlaGnTt3IiUlRcKpaCqff/45zp49C4PBgK1bt0o9DrlRU1ODnJwcrt4lc0NDQzh27BiioqJw6dIlFBUV8Yp8EFJ88Gq1WkxcLG5wcBAxMTESTUSkfJWVlViwYAEOHDgg9Sg0hbS0NKSlpaG8vBzr1q1DbW0t5s2bJ/VY9Bc9PT24e/cuNm3aJPUoNIP8/Hykp6cDAGJjY7F582bcvHkTYWGK/0tweoTi381ly5ahr69P2HY4HLDb7UhISJBwKiLlOnfuHJxOJw4ePAiHw4H29napR6JHmM1m6HQ64Wk0GzZswBdffIELFy5IPBk96uLFi+ju7kZZWRnKysrQ3NyMEydO4Pz581KPRhOsXbtW+DgpKQm3bt1CY2OjhBORPyj+Cm9WVhb6+vrQ1dUFvV4Po9EIg8HA4CWahfr6evT09GDTpk2wWq1CXCUmJko9Gv1FREQEnn32WcTFxQEA2tra8Nhjj2H16tUST0aPmvi0oPLycmzfvh0bNmyQZiByy2w2Izs7W7g90m63AwAiIyMlnox8TfHBGxERgaqqKuzbtw8ZGRkwGo2orq6Weixy4+OPP0Z9fT0A4L333kNWVhbefvttiaeicW1tbcjLyxN+wx83MDAg0UTkTmpqKgoLC/HrX/8aYWFhuHLlCs6ePcsfLpSprq4uHDlyBFarFYcPH8bw8DA2btwo9Vj0F3q9HkVFRcLPAplMJmRmZmLFihUST0a+phqbeAMsERERUYioqanBrVu34HQ60dzcjNLSUsTGxko9FvkYg5eIiIiIgprif2iNiIiIiGg6DF4iIiIiCmoMXiIiIiIKagxeIiIiIgpqDF4iIiIiCmoMXiIiIiIKav8/S1fU0nhL0h8AAAAASUVORK5CYII=",
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       "\n",
       "            <div style=\"display: inline-block;\">\n",
       "                <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n",
       "                    Figure\n",
       "                </div>\n",
       "                <img 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' width=700.0/>\n",
       "            </div>\n",
       "        "
      ],
      "text/plain": [
       "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "ac5fa2ed31ad45b1b7f14b19d01ae45f",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HTML(value='<style> div.jupyter-widgets.widget-label {display: none;} </style>')"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Nodes\n",
    "xx , yy = np.meshgrid(np.linspace(0 , l , 100), np.linspace(-0.5*h, 0.5*h, 100))\n",
    "\n",
    "# Solver\n",
    "stress_fields = beam_stress_fields(xx , yy, load, h, l)\n",
    "𝜎_xx , 𝜎_yy , 𝜏_xy , 𝜎_1 , 𝜎_3 , 𝜎_m, 𝜏_max = stress_fields.values()\n",
    "\n",
    "# Visualization\n",
    "titles = [\"$\\sigma_{xx}$\", \"$\\sigma_{yy}$\", \"$\\\\tau_{xy}$\", \"$\\sigma_{1}$\", \"$\\sigma_{3}$\", \"$\\\\tau_\\mathrm{max}$\"]\n",
    "plot_field(xx , yy, [𝜎_xx , 𝜎_yy , 𝜏_xy , 𝜎_1 , 𝜎_3 , 𝜏_max], titles=titles, figsize=[7, 10])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "ec87e90fa75a4f1e98a0db22f99ca842",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "interactive(children=(BoundedFloatText(value=3.0, description='x [m]:', max=5.0, step=0.5), BoundedFloatText(v…"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "wid = interact(  # Interactive widgets\n",
    "    stress_at_a_value,\n",
    "    x = wgt.BoundedFloatText(value=3, min=0, max=l, step=0.5, description='x [m]:'),\n",
    "    y = wgt.BoundedFloatText(value=-0.5, min=-0.5*h, max=0.5*h, step=0.1, description='y [m]'),\n",
    "    load = wgt.FloatText(value=-1, description='load [N]:'),\n",
    "    h = wgt. BoundedFloatText(value=1, min=0.01, step=0.5, description='h [m]:'),\n",
    "    l = wgt. BoundedFloatText(value=5, min=0.01, step=0.5, description='l [m]:'),\n",
    "    field = wgt.Dropdown(options=['𝜎_xx', '𝜎_yy', '𝜏_xy', '𝜎_1', '𝜎_3', '𝜎_m', '𝜏_max'],\n",
    "        value='𝜏_max', description='field:'),\n",
    ")"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3.9.13 64-bit ('solidspy-env')",
   "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": "3.9.17"
  },
  "orig_nbformat": 4,
  "vscode": {
   "interpreter": {
    "hash": "42b9ce97befeae958d128bfc8e8137711916479b07e20b35d801ac2885384ad7"
   }
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}