{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "2cb6675a",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "72572f51",
   "metadata": {
    "load": "myst_code_init.py",
    "tags": [
     "remove-cell"
    ]
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Loading pyMOR defaults from file /builds/pymor/pymor/docs/source/pymor_defaults.py\n"
     ]
    }
   ],
   "source": [
    "import warnings\n",
    "\n",
    "import matplotlib as mpl\n",
    "from IPython import get_ipython\n",
    "\n",
    "import pymor.tools.random\n",
    "\n",
    "ip = get_ipython()\n",
    "if ip is not None:\n",
    "    ip.run_line_magic('matplotlib', 'inline')\n",
    "\n",
    "warnings.filterwarnings('ignore', category=UserWarning, module='torch')\n",
    "\n",
    "pymor.tools.random._default_random_state = None\n",
    "\n",
    "mpl.rcParams['figure.facecolor'] = (1.0, 1.0, 1.0, 0.0)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "144c4391",
   "metadata": {},
   "source": [
    "# Tutorial: Interpolatory model order reduction for LTI systems\n",
    "\n",
    "Here we discuss interpolatory model order reduction methods\n",
    "(also known as:\n",
    "moment matching,\n",
    "Krylov subspace methods, and\n",
    "Padé approximation)\n",
    "for LTI systems.\n",
    "In {doc}`tutorial_lti_systems`, we discussed transfer functions of LTI systems,\n",
    "which give a frequency-domain description of the input-output mapping and\n",
    "are involved in system norms.\n",
    "Therefore, a reasonable approach to approximating a given LTI system is to build\n",
    "a reduced-order model such that its transfer function interpolates the\n",
    "full-order transfer function.\n",
    "\n",
    "We start with simpler approaches\n",
    "(higher-order interpolation at single point {cite}`G97`) and\n",
    "then move on to bitangential Hermite interpolation\n",
    "which is directly supported in pyMOR.\n",
    "\n",
    "We demonstrate them on\n",
    "[Penzl's FOM example](https://morwiki.mpi-magdeburg.mpg.de/morwiki/index.php/Penzl%27s_FOM)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "2974bbc1",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "LTIModel\n",
      "    class: LTIModel\n",
      "    number of equations: 1006\n",
      "    number of inputs:    1\n",
      "    number of outputs:   1\n",
      "    continuous-time\n",
      "    linear time-invariant\n",
      "    solution_space:  NumpyVectorSpace(1006)\n"
     ]
    }
   ],
   "source": [
    "from pymor.models.examples import penzl_example\n",
    "\n",
    "fom = penzl_example()\n",
    "print(fom)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0d86ba45",
   "metadata": {},
   "source": [
    "## Interpolation at infinity\n",
    "\n",
    "Given an LTI system\n",
    "\n",
    "```{math}\n",
    "\\begin{align*}\n",
    "  \\dot{x}(t) & = A x(t) + B u(t), \\\\\n",
    "  y(t) & = C x(t) + D u(t),\n",
    "\\end{align*}\n",
    "```\n",
    "\n",
    "the most straightforward interpolatory method is using Krylov subspaces\n",
    "\n",
    "```{math}\n",
    "\\begin{align*}\n",
    "  V\n",
    "  & =\n",
    "  \\begin{bmatrix}\n",
    "    B & A B & \\cdots & A^{r - 1} B\n",
    "  \\end{bmatrix}, \\\\\n",
    "  W\n",
    "  & =\n",
    "  \\begin{bmatrix}\n",
    "    C^T & A^T C^T & \\cdots & {\\left(A^T\\right)}^{r - 1} C^T\n",
    "  \\end{bmatrix}\n",
    "\\end{align*}\n",
    "```\n",
    "\n",
    "to perform a (Petrov-)Galerkin projection.\n",
    "This will achieve interpolation of the first $2 r$ moments at infinity\n",
    "of the transfer function.\n",
    "The moments at infinity, also called *Markov parameters*,\n",
    "are the coefficients in the Laurent series expansion:\n",
    "\n",
    "```{math}\n",
    "\\begin{align*}\n",
    "  H(s)\n",
    "  & = C {(s I - A)}^{-1} B + D \\\\\n",
    "  & = C \\frac{1}{s} {\\left(I - \\frac{1}{s} A \\right)}^{-1} B + D \\\\\n",
    "  & = C \\frac{1}{s}\n",
    "    \\sum_{k = 0}^{\\infty} {\\left(\\frac{1}{s} A \\right)}^{k}\n",
    "    B + D \\\\\n",
    "  & = D + \\sum_{k = 0}^{\\infty} C A^k B \\frac{1}{s^{k + 1}} \\\\\n",
    "  & = D + \\sum_{k = 1}^{\\infty} C A^{k - 1} B \\frac{1}{s^{k}}.\n",
    "\\end{align*}\n",
    "```\n",
    "\n",
    "The moments at infinity are thus\n",
    "\n",
    "```{math}\n",
    "M_0(\\infty) = D, \\quad\n",
    "M_k(\\infty) = C A^{k - 1} B,  \\text{ for } k \\geqslant 1.\n",
    "```\n",
    "\n",
    "A reduced-order model\n",
    "\n",
    "```{math}\n",
    "\\begin{align*}\n",
    "  \\dot{\\widehat{x}}(t) & = \\widehat{A} \\widehat{x}(t) + \\widehat{B} u(t), \\\\\n",
    "  \\widehat{y}(t) & = \\widehat{C} \\widehat{x}(t) + \\widehat{D} u(t),\n",
    "\\end{align*}\n",
    "```\n",
    "\n",
    "where\n",
    "\n",
    "```{math}\n",
    "\\widehat{A} = {\\left(W^T V\\right)}^{-1} W^T A V, \\quad\n",
    "\\widehat{B} = {\\left(W^T V\\right)}^{-1} W^T B, \\quad\n",
    "\\widehat{C} = C V, \\quad\n",
    "\\widehat{D} = D,\n",
    "```\n",
    "\n",
    "with $V$ and $W$ as above, satisfies\n",
    "\n",
    "```{math}\n",
    "C A^{k - 1} B\n",
    "=\n",
    "\\widehat{C} \\widehat{A}^{k - 1} \\widehat{B}, \\quad\n",
    "k = 1, \\ldots, 2 r.\n",
    "```\n",
    "\n",
    "We can compute {math}`V` and {math}`W` using the\n",
    "`arnoldi` function."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "ce87d16e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "8668ef5ed4e349feb6bcd1e8da6fd692",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Accordion(children=(HTML(value='', layout=Layout(height='16em', width='100%')),), titles=('Log Output',))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from pymor.algorithms.krylov import arnoldi\n",
    "\n",
    "r_max = 5\n",
    "V = arnoldi(fom.A, fom.E, fom.B.as_range_array(), r_max)\n",
    "W = arnoldi(fom.A.H, fom.E.H, fom.C.as_source_array(), r_max)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "54827add",
   "metadata": {},
   "source": [
    "We then use those to perform a Petrov-Galerkin projection."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "c5053c00",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "36147eb64ac54911ab0d1d5d3a616864",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Accordion(children=(HTML(value='', layout=Layout(height='16em', width='100%')),), titles=('Log Output',))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from pymor.reductors.basic import LTIPGReductor\n",
    "\n",
    "pg = LTIPGReductor(fom, W, V)\n",
    "roms_inf = [pg.reduce(i + 1) for i in range(r_max)]"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a2346959",
   "metadata": {},
   "source": [
    "To compare, we first draw the Bode plots."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "0ae1b818",
   "metadata": {},
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 600x800 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "plt.rcParams['axes.grid'] = True\n",
    "\n",
    "w = (1e-1, 1e4)\n",
    "bode_plot_opts = dict(sharex=True, squeeze=False, figsize=(6, 8), constrained_layout=True)\n",
    "\n",
    "fig, ax = plt.subplots(2, 1, **bode_plot_opts)\n",
    "fom.transfer_function.bode_plot(w, ax=ax, label='FOM')\n",
    "for rom in roms_inf:\n",
    "    rom.transfer_function.bode_plot(w, ax=ax, label=f'ROM $r = {rom.order}$')\n",
    "_ = ax[0, 0].legend()\n",
    "_ = ax[1, 0].legend()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "adf8dcb9",
   "metadata": {},
   "source": [
    "As expected, we see good approximation for higher frequencies.\n",
    "Drawing the magnitude of the error makes it clearer."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "306ccfe0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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/xDnzzuGtdW/xvxX/w8SRa08eXLelVt9BiMZKAiQhhGiiVr/3FSgzwYUHiR3RG0tnI0IqCE5i57KjJ4usKovJwn/H/JfbBtxGlD2KfXn7eO7v5zhYcBBtjjkibe72vRXkIkTTJgGSEEI0RT4fh7YbrUQe7xq6J/TCl9CSYFcaKBNb5/12jAwqZzVZubHvjfx44Y/cO+Re2kW04+Sw4XisxsBsq2MjAIWHcmr3PSrh9XnZsOIXPB4Z5yTqnwRIQgjRBOUs/4GD1r4AbItfTa/YXmhlIVrtAaBwT15AygmxhnBFzyv45vxvuCJjIAA2Vy75tgMAuPLr7tfI108/xYLXvXww+X583spn+BYi0OQ1/0bmuVXP8V72ezz84cMoDr95UrKvyhyX2i9+U+WIa2XeXinvWsn9pa6VLafcvMtcK68cszKjlMKszJiU6ait9PmK0lbnfGXllE2LD7Y7t3Nww0GsFquRBoXZ5E+DCZPJuNeszFhMFswmM1ZlxWKyHLGZlRmryXrUueL94msl+fjrI0SNeFwsm7MCrUYRlbWZgosTiQ4yZtOOawfJyVBgao0zO4egqMhjZFZ1OVuSga4Eu1LZn5hKQgEU6biA5V9W5hYr2m4hP+wM3rjzfCY/+wV2i7nOyhOiNAmQGhld/L+KBljWbNylqMTPa35ukHJLAidlBF4lwZU6MvgqfVycrnSQZjaZj0hTNhgrfb68QO6I+8qWXeZ6yb3q6ABRAr7A8fg8FLgLyHPlkefKI9+dT64rl3xXPvnufApWfo/beSUoKNA/ctbAm0ru7X3WYNa+5iMvvB1/vfMlY+66KmD1cmSawA52cy5ZbfNI2ASOoFY4cgsIjgg9dgbV5T38MxV26GSWL/qSUeMuCHw5QpRDAqRG5obeN9DyQEtOOukkLFbjP09xsKTLiY5KB1LF10s+y7lWOouy6csrSx95wzHTly1fo/FqLz6fDx8+fNqH1+c9fF77jtjKnvNqL1ofnbY29xZf83g97Nm7h1atW6GVrrQcj/bg8Xnw+rx4fMZ+8bmKjr3ai9vnLnlFuqzidM1FhUGWsuAsdDL7u9lYzYcDrIoCtbLBXnnpilv1SloNTaYjj8v7NB3d0lhZHnD4Z9injdmjfdpX8g+Y4vPFxz7tK/lv6va5j9icHqexeY1Ph8eBw+Og0F1IntsfBLnyyXMbn4WewooftIZz1l9PS2UlImcn6ae257QOp+H1GF1QYb2GE+uZTYa1K1kLNqDv1IEJXgvSydLtALAnhkGXMEzrHfjMwaz75k+GTjq59mWUoUstwpsd0wfzn/NBAiRRTyRAamTCrGGEm8KJD4nHapWVsuuS2+3mu/TvOGPYGXX6rIsDr+KgqfgXaOlAqnRgVXztqPPafWSAVoUgrcJz/vzKO1+2fh5d5tjnKTdYP1bAl5adVmfPuLkKtgQbfyfYwo3P/FRabGpPXH4fTD43UY4lXHnd2wB48Y/RMVlo3yGdjP1dyQrvy4H5v9F6wkm1rkvOsi/ItXcAoOuEQfwdnIz27gNzV1IWrYEAB0herwevJf6Ic470SgJHIQJMAiQh6phSqqRVpLnw+rwlgZfb6z687zs66HK6nSxasojBQwejTbrcNKUDudLXj0pbKtgr3cJX+rN0S6DX5z2qNfCoT1/558EYS6eUKvk0YQJlnDcp01HXi1u8rCYrVvPh1q8gcxBBliCCLcEEW4JL9kMsIYTZwgi3hhNmCyPMFkaENaJk32ryB+6HNsA3d7NlaxC/ZE9EK+iwYx6Dnv9nuf99Bpw7hNUvOikIbcHa176sfYCkNbu/WwSqE8GFh+h24lii1ywhOWILLZxdKci0oXWAWqr8tv+9FLfNaEGyFe3EZe+IzvMd4y4hAqf5/I0thKg3ZpMZM2bsZjsco/HN7XaTbE1mWIth0ipaHT4v7Pwdlr+Fb+O3rCo4l2X5l6OViRbJi4kc1YH43j3KvdXe82Q6hTzGVudY8nUb9n07nzZnjq95XXb8wr6MTsb4I18qymwmPjiebzt8x7mbziYnvBMZS5YTN3JozcsoY933PwNjsbgzMVv8Uwk45edH1B95zV8IIRoLZy5s+xm++yf8rzu8ey7Z65bzRebj/Jl/JRoTLZMXkVi0gmH/vrPifMwWBoyNAiA9vh+7//sSvoKCmtXJ48L9w3T2WwYDkNjbmCiyRWgLUiKTUd4MfGY7y1/9vmb5V6BwexEAZnZjDTNapkyesICWIURlpAVJCCHqm9bgyIK0zUb3WepGOLASDq4Df/eewxfBOtdkVuWdicdrweR10m3bp4Q6d9D/q7kom63SIuImXEmb32azzzWAg3GjWf/gY/R99qnq1/Xnaazf0hqvOYggRzojrzsdgFbhrUDB1oTFdMk4hzRfWwrXryekd+/ql1GG2+VEuVsDYI7MJqZVF3K3gfJFk5KZS4uYiGPkIETtSYAkhBCBpDU4c6AgDfIPGVtuCuQmQ+5+yNoDmbug6OgZqLWGzJDhrPdcyKbkjnj9r7lHZG+j16Z38YZa6PPBLOwJ8Ufde5TQOEaO8fDxzz5SEwbSZvEzpH74MQmXTaz6d1n0HN6lr7HK8SpYINK7g+D4SwBoF9EOszKzuMOfdEs/nbzwdqx56m2Gvft/KFPtOieWzZpBQWh/AOL6dad1Ynd2b8tFm2NYv2YxLU48vVb5C1EVEiAJIURZHhcU5UFRrn/LM7q/ivKM4MeZDY7sMp9ZUJhhbFWdviGiNb6E3qTZhrA7twfb90SSvctVctnryab3lrkkpa0ip1MPBr/7OtbY2Cp/jdgzb6LbshfYnDeKLV0uJeQ/TxDcqgXhY8ZUfqPXA79MhyUvsCFrAg5LLLaibAZOOTyOyW620y6iHTtzdhJlX0Kmayx7nW3p8vobxE25qZLMj1G020Xu3DV4OwzDpHPoMu5k4kyhMG8FRfYY9q36BiRAEvVAAiQhRNOmNbgd4Mo3tiL/p6vACGhcBce+VuQ/5/Kf87qOXe6x2CMgLAFCEyCiBUS0hIjWFAW1Jc3ZktTMMFJ2FZC8IhuXs3gZDRfKrCggh+7rP6XTob9RgPuU0zlhxlOYjtGtdpTgKIZPHMDut3LJD2/D3jYTMN9yK+1eeYmwioKk/Svg+3/BgZU4fBEsdVwJZogs2kzHUUfOQTQgYQA7c3ayue3PJG4bRXpcXza+/xp9oqKIvrQaLVWl/PDKfTiDjCVUgkO20qXNefjcRrejxxqK2r21RvkKUV0SIAkh6p/PVypoyTMClKLcYxznlTpXKtBx5ZeM2wk4ayjYwyEowvi0Rxj7QVEQHHX0Z0gchMSig6NxOC3kpDnISSskK6WAzO2FZCbnk5vuBDL9m7+YIDM63k7ywa30WP05J6ZtAcARFUvbf99H7Fln1vgV+pDBZzNu8xv8sCiCPW1PJTp7O2rKzSTddy/RV15p5OvIho3zYPWHsO9PALQ1nLkHn8RjDiOkIJlht0w4Ku8LulzA3G1z+Tw+l9EFv9IrZTxbO19M9GOPs/HPbwj/1110T+yNzXzswM7r8/LV3Kdo8/YClg993DjZMQGzSWG2mzH7cvGaIrBnW9iXWUibmJAaPQ8hqkoCJCFE9XjdRjeTI9vf3ZTl//SfK8rzt84YQY3ZmcuY1P1Y9j52OOBx5ddN3WxhYAs1Pu1h/mP/OXsY2MJL7Ycax+Xu++8zH/1XpPZpnAVuCnKKKMh2UZBTRGFqEfnZLvIzneRl7icvYzvuoooXV42ICyK2TTh5oSZWHTqEa9n3nL5wMWMK0o1HbLYQftXVdLv1ZkyhtV/Co9Pl19N934ds3pPE+j7XMXDFDA498SS57zxD4lAvwaGp4HMbiZUJb4+JzFs+lhx3IsrnIaFVJm1HDT4q3z5xfRjdajQLDyxkaZufaJM5kAhi2dBjMn1/eJ0t6y/n8VPsBPXtQ7+E/nSO6kz7yPa0C2+HxWTB5XOR58rjh01fkvveB5yyIJeUlqfhM9sJM++n84TDXWnBoW7yHWApjGfJ8uVMPHVsrZ+LEJWRAKmROfjdT4TN/Yqdf/2NyWQGpcBkTEKHUqBMKBOAApPp8HmT8amUCaUAZfKnVyiT8h+DKr4HhTIb+8qkMJlMJdeUUpjMh/eV2Z+Xv0yUf4Fakwn/QUneh9Mp49hiQVmsKGupzeb/tFiOPO8/h9Uq63rVJa39Y2myywQ62UcGOqXPOUpdc1fvdXETEA1Q3iTIyuxvmfFvtjD/vv/TFn7ksT3i6OCneN8a4v+ZrMaj8GlcTg9FhcbmTHf79wtw5GfjzHNTmOfCme/Cke/GkWt8+rxVWBRRQVi0ncj4YKKTQolpEQqRVjYUOFi5YSfOxT8zdPffXJG2DbO/BcwTEkrkxZfQ4tqrsSYmVuu7VF4Xxbh/XErO/5aSshvWDL6NvmtmQso+dn8J4a3DCOkQjaXPGDzxg/npyzwywo3yY/L+4vSZ91eQreLlk18mLz+FjJkj2BMzg7UHp5MR15dN3S6mx5ZPmD6riN0JK/i5/98sbKFIjYK8YAh1QotM6JyiOW+pj5h8cATFsrvdqQCkRedwZZfDzyCuTRz5WzXBRYnsXPUFesIY+XtC1CkJkBqZv79dQNe/luD7C47nOWO9ZjPabMVnsaDNFrBY0BYLWKxGAFU6wAoOxhQSgjksFHNIKJawUCyhIdjDw7CGh2IODcMUEoIpNMT49G8+m80IFpoyrY1up8IMKPAPEC5M9x+nQ2GmcVzgP1cc8ASiS8oW7u9eijS6mIIi/VvEEcGOxxLMinVbGTxiLJaQ6CMDIkuQP6iuzSPQuIu8FGW7jOCmwAhynIVuigo8FBWWOvZfdxYa512Fnhr/CASHWwmJtBMaaSc00kZolJ2waDvhsUGExwQRHGVnZ2Yh65Nz+HFrMpnzfiV+50YGp27m2uz9R2bWoxeJF51P1HnnBaTFqDxmq4kzbh3Kl8+tIn0/LBvwT4Jz1tJvyzew/yDZyV5y1u9hV7te5ER1R/k8uG17OH/WvZjM5grzVUoREd6SiAFX0WHx80QkfsbSg5dysMVYihLb0e+vF2mf6uT6nw7/zLnMYCvTwOZKjGFX7yvRXhsR1u20OP8cTKbDPxste7Zj99bdeK0JxOZ8xF+7MjmhY9UHrAtRXRIgNTIZ3fvxSWohZqVQGkCj0KB1ybFJa/8vdo0JDRqULpUOQBdfM/72N2mfkQ7tT3vkfnG+qji/ctP5j4v3S6XDf810xL4Ps8+HxefFqj3+fQ9WnxeLz4tFe7H6j8sye73g9UI1xspqwOPfAKrSidMFxaZHHsUXFIwvKAiCQsAfTJlDQ7GGhmANCyMoOpKg6CjMkZGYIyMwR0RgiojwH0diCgqqekUr43UfDmpKgpyMw1tBuv9a5uFrxV0j1WW2lRpDUybIOdY5e0S53U/l0W43h/Z+h243CiqYSVv7NK4irxHcOIzWHFepoMblOBzYuBxGcOMsFfxUqUWnEharCXuIBXuo1fgMsRIUZiU4zEpwuI3gcCvBYf7PcBshETbMlsOtVblON9tT8/k7OZdNG/aSumEr5u1b6Jixh67Z+7gs+wCWMkGpr0t34k89haizzsTWvn2t6l9VQWFWzv/HQH58fT17N2ZSFDmAv4YOwOPOwWIOBf9yOD6fC88J0dw6+Tqs5iq2yo24HZa/xUDXx2zuPJKM7a3JMrXn9/HPcnKbFIL++hb33n14UlNLgiNLQgK2du2wjR3P8p0mDma2wISbpS3CeXFA2yOyj25pzH1UEJKENSubd35YwtCbz5JWJFFnJEBqZK687RK+6xTGGWfU/QKqPg0+rfFpjS7ZNz617/A1nz6c3qs1Pl/p9EdeL52f16fx+LTx6fXh9mm8Ph/5XuOc2+szrnl8eDxefK4i3EUu3E4XniIXbpcLj9OFx+XG6yrCW+TG63Lhdbnxudz43C60y4VyFWFxOrAUObG4nFhdTuzuIoI9RQR5igj2uvz7xmew/xwYAZ61yAFFDjh6Who0RozmAnIreZ5eixVPSBi+sHBUeDim8AgsUZHYoiIJiokiODwIi92H2eLGbC7CTD4mcjF7szAV+efLKUgzWndqwhoKIbEQGmt8+gcLH3UcEnM44LEG16ysip6B14er8HB3VXHwUphfRO4OG3/O24WnyFdyvnQal6PmLTnFTCaFPdQIbuwhFoJKBTv2UAtB/vOHg6DDaSzWiltIwPj5zi50k5zjYH9KNjvXFrA3JZOcnXvw7tlNZHoybfJS6ZCbwsS8VGzlvObvjUsg7IShRI0YTtiY0VjiqzCXUR2wBVk469Z+7NucyfoFB9i1Nh2L1VjzzBdkwpQUzLhz+tKnZ1z1Mg6Ng1F3wa+PcZl+jBcGvYPzbxcheT5+2ZhIhxPvY9DJbYlNtOFLT8MSE4MpNJS0nel8/8JS8pyhWHCyPWwXky+7DLPpyMAnpqXRslYYkkjYoSA6HPiKRduHMbpLwzxH0fwd1wGSUuos4H8YwyT+q7V+s4GrVG+UUpgVmGme//ryeH04PT4KXR4Ki7wUuDw4XF4KXF4OFnnId7jIy85l0+q1tIxPwFvgwJ1fgCc/H19hIb7CQnAUopwOzA4HIS4HYW4HYe5Cwsrsm9GYPW7MuVmQm3VkPTBasiprzVImjdnmw2SzYbbFYrZrVJAVU6gdc3gologILNFRmKNjMccmYo5LxBzfClNca1REghH4BCDYKWnFKQ5aioMYR6mAxlF8/nBLT/F5TyWDksHO2q37K7luMFmU0XoTYsEWfDjYObyVCm78gU/xOavdXKPWBK9Pk55fREa+i5QcByk5TlKyHaQdyqTwQDLelBRUeipReVkkOLJIKMyiV2EGYxy5RittOXz2ICzdexA5oC/BvfsQMqA/1latql23uqJMirY9Y2nbM5b8LCcpO3KIax1GVGJI7VpkRtwG6z5FpW3mjoRnmHPx0/zx5V76FFnYtTyVXctTsQVbaNE5ErczjayUXBz5PiCUCHMKa0N30+60SxjaIeaorMNjg7BYweO20Do1kQ4Df+Pp7zYw7NYxVW/lEqIajtsASSllAWYAJ2K0HaxUSn2htc5oyHrt35xF7nYbf/+4F7PZXDI8o+QvLf9K4sVjo4+6poydw9coSXhE+tLXi9MXny6dvlR5pcsq/5rxf/4sATCZjQHfxqfCZDrGcclmOmL8QXVZzCbCzCbC7BYILz+N2+3mO8dOzjhjXPmtdVpDfio6ew+ujL0UZe7Dk7UPcg9gznNgK8jB7kxHe8DnMuF1KbwuU8nmKz52m/C5TDhdVlwuC16XCe0Cs8uHArRP4XGawVm2FcOD8aOZA+w7unoo3MEheELCcIdF4YuIRkfEQng0prAoTGGRmEPCMQWH4rUE4zHb8WgLLq8JlwuKHEYw5Cru0gpAKw4Yr6zbQyzYg/2BS5CZtMyDdOranuAw2+FAJ/jooMdiq7wl51icbi+5Tje5Dg+5Tjd5Tg+5Djc5DjeZWQUUpKfjSM+kKDMLb1Y2OjcHe142kc48YoryiCrKJ96ZR9eiPEI8RccszxscgqltO0I7dyK0c0fsXbti79oVa6tWtZ5Nur6ERQfRZXCAuogtdrjwLXhrPOxawCTT/Qy8aTrT52WRmOyirccEDg971h3512xr+3I+DzbRfcwFTD2xc7lZK6WIbRXOod15mMwt2Vm0k1aHfuOV31pxxyldAlN/IUo5bgMkYCiwQWt9AEAp9T0wAfiwISu1f1MWudvsrNi2pyGr0Tgo/AFUqSDKVCaIqjTQMpVJf2Q6lCZ3p5nlecuxenIxOTNRRVmYnRmYnOmYHOkonxOzOrK7xBhhFQPEGgGFyQJh0RAcjQ6OhqBoY7yOPRLsEXis4TjMoTg8Cofbi8PlxeH24izyUFToxFNYiKfQga/QiXYUoVxulMuDye3F7PNh1UZLn1krTMqEUmZQZrxmG15zEF6zHV/peWac/i29dK2L/FsVHrv2YlYezCYvFos2NitYbQqL3YQtyIItxIwt1EZQqA17RBDB4XaCokIIiQzFbLcY3a4ofECR28Ovv22n7Zh4TBYrGoUX8AL5Pk2O9uLMKcJx0IXT5cLlKMJZ5MbldOFyOHE7XbgdTjwOJ16nE4/TibfQgTc/H19BIaowH+UoxOxwYHM7CfEUEeJ2EuwpIsTjJMpTRCu3s6RbtTq8IWHoxERsLVoQ2rolQS1bYm3ZAmubNtjatsUcEyNjYMpK6g2XfwofXAw7fqX7jl/5oOUg1rUdyoGdW0hwOLF6ogk25RJlSWYFSbwdPpkp54zllJ6Vv7kX28YIkPJDW5KZEsTNreZx4a9DGdctnn5tourn+4njRpMNkJRSY4B/AoOAFsD5Wut5ZdJM9adJAtYAt2mt//JfbgkcKJX8ANDgbeAJ7cMJbeOiTeu2xuv5xphpozWjZB+0/6DkX/xaH752OFGpc7o4WRXS65J0R1wrOVe8c/j6EelLleXzaXxejc/rw+fVaJ/GW/rY67/uK6fpQuO/V1N37/SFsGq3E7Bh/Jgk1Syb7IouFAcm6RUlwAyYCQJK/Sve5t8wvrkPqMpQbK29GE1abpS3CJPXidXjxOYuxO4uJMidh81diMVjbFaPA4vH4T82Ps1VXSajlGN1JQ4BHI8efd7nb2q0o7FXu9Tq08qEJywcX3gkpqhIrNFR2OPiCE1KwBofjyUuFktcHObYWCzxCZjD6uaNsmav/Si4+mv45VHYvRBT8kr6sZJ+AHZjOxh7Agf6PETbLifxYVJ4lbrJ4luHAZAf1obOOxSqczIn5q3gxvfsfHXrKBIjAtQSJgRNOEACQjGCnreBz8teVEpNxOhCmwIsA+4EflRKddNap1a3MKWU/491iXAwumnc7hq+RVSONr2j2JxSxPDx7et0kHZjo7URPPlKBUwl+16Nz+cr2T8inffweV9BJjo7BV9OCjrvEL68dHR+Bj5HPhozPm3GhxmvtuAzRg7h02a85lB8tih8tgh81nC85jB8llB85mB8piB8pWKzkraC4q7EI04e2d1ZKukRCY9ocCjVPWm2mIzNasJiM2GxmjBbzf5P09GfNjO2IDNWuxlrkLFvKvVLRmuN0+0r6XLKcbopdHkpLHBQmJOHKzcPd34+3rx8vPn56IICdEEBqrDA3yJTiMXpwORxY/a4sXhcWDxurB4XFq8Hq8eF1evB5nVj9bqxed2YKxiTU5GKxvAU85iteK1WfBYrPqsNn9UGVis6OATlf9vQEhaONTwUW0Q4QRHhBEWEYQ4PwxQaengLC8MUEYkpPKzKXV8+wBfAP9t1rfjvoUD+fVQrif1g0lzIT8W0+WvUvj/R0R3RrQaiWw4kNjSekpf0fV7c5bzNWlZ0S2OsXW54G/qug290GP8O+pSTcwdw3azlvHvNYMKD6vbXWqN7zs1UXT7nquapdCAGHTQwpZSmTAuSUmoZsFxrfav/2IQxkONFrfVTSqkRwD+11uf7rz8H/KW1nlNBGdOAR8qenzNnDiEhMuV9vdEauyeHCMd+Ipz7CHfsJ9yZTLgzGavPUeFtLnMo+UEtyLcnUWBPIt+eQKE9gQJbIm6LtBIEgk+Dz+NF+Xyo4mkjlDEtBKU3ypwDMJnQJhPabC7Zp2TiUSEM2gsH5oeBVoxc8gBzR+Xyr8RkXvRcwevu0+kUrpnSw0sth7KJZq6wsJBJkyYBRGqtK3xBuVkGSEopG8a8vReVCZpmA1Fa63P9g7Q3AePwD9IGRlQ0SLuCFqT96enpREREBOy7uN1u5s+fz/jx44+rFqRyFeWh0jZD6kZU2iZjS92EcmSWm1wrE0S3R8d2Rcd3Q8d0htjO6JhOxuvtZcizrh/ynOvH8fKcP31iJVkphfRZ9yqZQevIPTOPyx2a8a7/Y2dRBAPbRvHq5f2JDqnmwr5VdLw854ZWl885NzeXuLg4OEaA1JS72CoThzG041CZ84eA7gBaa49S6h7gN4zX/J+u7A02rfURo1yLu1KsVmud/CGpq3wbJZ8XMnfCwbVwcD2kboRDGyFnb/nplQliOkJCT//WHeK6oWI7gcVe7YkLjqtn3YDkOdeP5v6cEztEkpVSSG5EB7rtWsfjKobL3XuY2+4Lxu69lr/3ZnPpm8uZfc3QOl3Qtrk/58aiLp5zVfNrrgFSlWitvwK+auh6HFfcDiMASlkLB9cZ26H14C5voS4gvAUk9DACocRexmd8t4BPciiEaBqSOkSweUkKeW36wa6v6LrBy2/dwjhl74/8ePKZXLioNTvTCjj/lSW8PXkwfVtHNXSVRRPVXAOkdIy3iMu+M5oIHKz/6hynCjMhZc3hQOjgWkjfWv46YJZgIwBK6g0JvSDR3zpUTteYEOL4ldTRmPU7x5qIT5kYs97HzJM6cfLWNbRY9CDzrviVq+amsPlgHhe9upTp5/Ti0iFtZDoGUW3NMkDSWruUUiuBk4F5UDJI+2TgpQasWvPk8xldZIeKA6H1xmdecvnpQ2IhqS8k9YEW/YzP2M5gkpGVQojKxbQIxRZkxuX0UhjTgaSMHfh2ZfJHm76M3beWhJ+m8skN87jr0w38sjmV+z9fx/LdmfznvD4Ey+htUQ1NNkBSSoUBpadc7aCU6g9kaq33YrziP1sptQL4C+M1/1DgnXquavPiKjDGB5UEQ+uMY3dB+emjOxgBUFJfaOEPisJbyNtJQogaUSZFYsdI9m3MpGjI6YT98BInrfExs1ccY1IjUfuWEbHoP7xx1eO89sdOnvlxM5//fYC1+3N4bmJ/ereKbOivIJqIJhsgAYMxBlgXm+H/nA1M1lp/rJSKBx7FmP1vNXCa1rrswG1RHq0hL8XfGrTWGCd0cB1k7IDy5q6xBBljhZL6QGIf/2cvCArcG35CCAHGOKR9GzPJb92XWGDERs27B7fx65ipnDz/CVj6EqZWA7l53IUMaBvF7R+uYntqPue/spg7T+nKlLGdjloMV4iymmyApLX+HSp/YUlr/RLSpXZsXrcxNujguiMHThdW8FJfaIK/Vai30TKU2NvoIjM32R8nIUQTUjwOKS3bTNeuXWHrVsas1zyXuIixI27DsuRFmDcVYjszrGM/frhzDA98vo4fNhzkmR+38NvmVJ66sC+dE8Ia+JuIxkx+ox1vHNmHW4OKW4fSNkN561QpE8R1NQKg4oAosQ+EV75ekhBC1KWkjpEokyI33Yn1vMsoeno6p61WfD94F5/3uIJLUk+B7T/DnEvhhl+IiWjJzCsGMvfvA0z7agMr9mRxxvMLueOULtw4pmOVljkRxx8JkJornw+y9xxuDSoOiCqaW8gW7g+AioOhPkaXmbxOL4RoZGzBFuLbhpO6O5e8jsMwhYTQIr2QXntNvBT0Mqee/QGR710I6Vvgg0vgmu9QQRFcNKg1wzvF8u8v1vH7ljSe+XEL36xN4ekL+9KntYxNEkeSAKk5KJ5bqPjtsUPrjX1XXvnpI9v6u8f6HA6IotoZSzsIIUQT0LpbFKm7c0nZU0jPs88m++OPOX99KI+3y+Llze/xwOWfwpunGC+UfDoZJn0MZiutooJ5Z/IQvlydzPSvN7ApJZdzX17EDaM7cucpXeVNN1FCAqSmJj/18IzTxcFQRXMLmW0Q393/Sn3vwwOng6Prv95CCBFArbpG8/ePezmwJZuRV04k++OP6bOhkMix8PGWj7mwy4V0m/QxzDoTdvwC39wJ57xkLDStFOcNaMXoLnFM/3ojX61J5rU/dvLDhoP857w+jOoS19BfTzQCEiA1Vj4PpO7wtwaVCogKUstPHxJ7ZPdYUh9j/JBZpsIXQjQ/SZ0iMZkUeZlOXPHtCe7XD8eaNdy0pwtP99rFk389yTunvoO66B346DJY9b7x9+T4R0vyiA2z88JlAzinX0senLeePRmFXPHWMs7r35IHz+pJXJi9khqI5k4CpEbGtPxNxmx5Hcu6G8HjLCeFgthOpbrH/K1DMreQEOI4YguykNghgpQdOezfkkWryyfhWLOGIYszCOtpZ+WhlXy/63vO6HYGnP0CfHUrLH7eaEEfddcReZ3SM5ETOsbwv5+2MnvpbuatTua3LWncf3p3LhncBpNMCXBckgCpsck/SHThTmPfGnp4+Y3i+YUSe4IttGHrKIQQjUCr7tGk7Mhh74ZMekw+jdT/+x+e1FTuzZ3AQ5G/8vTypxnZaiSRA68EZzb89CD8PA2CImHwtUfkFR5kZdo5vTh/QCse+GIdG5Jzue/zdXy2cj9PXNCHronhDfIdRcORUbmNjK/n+Sxvfyvum5fB/fvh+vlw1rPGH+Y2QyQ4EkIIv3a9YgHYvzkTbbYQfcUVAPT5eRcdItqT4cxgxkr/HMIjboNRdxv739wNq+eUm2e/NlF8OXUkD57ZgxCbuWRKgKd/2IzD5a3z7yQaDwmQGpvEXiRHD4WYTvJWmRBCVCKhfQT2UAtFhR4O7coleuIlqJAQXFu38ZjtYgA+3/Y5y1KWGTec/DAMuQHQMO8WWPtpuflazCauH92Rn+8ey4SeiXh8mld+38GE5xbwx7b0evp2oqHJb2AhhBBNksmkaNsjBoA9GzIwR0YSdcEFAETPW8TEbhMBmL50Og6PwxinefrTMGgyoOGLG2H95xXm3zIqmNevGszrVw6iRWQQ+zIdXPfu38zaaiI1r6iuv55oYBIgCSGEaLLa+rvZ9m7IBCDm6qvAZKJg4UKmRpxNQkgC+/L2MXP1TOMGkwnOfBYGXGFMjzL3etj4VaVlTOiVxPy7x3LdqA6YFKzKMHHaC4t57889+HzlrE0pmgUJkIQQQjRZxQFS2t48CnKKsLVpQ/gppwDgeP8THhr2EACzN85mTdoa4yaTyXizre+loL3w2TWw+btKywmzW3jorJ58PmUYbUI1eU4PD81bz4WvLmFTSm7dfUHRYCRAEkII0WSFRNhIaB8BwO61xvig2GuvASDnq68YaerCWR3Pwqd9PLjoQZzF06eYzHDeK9D7ImPeuU+ugq0/HbO8Xi0juLuPl4fO7E6Y3cKqvdmc9eIinvxuE4UuT918SdEgJEASQgjRpHXoZ8x8vWuNESAF9+9PyPBh4PGQ8dZb3Df0PuKD49mdu5sXVr1w+EaTGc5/DXqeBz43fHwFbP/lmOWZFFw1rC0/3z2W03sn4fVpXvtjJ+Nn/MGvmw/VxVcUDUACJCGEEE1acYC0f3MWLqfRihM35WYAsj+bS0h2EdNGTAPg/Y3vs/LQysM3my1w4ZvQ/SzwFsFHk2Dn71UqNykyiJlXDOKtqwfTKiqYA9kOrp21gls+WMmh3PIm+hVNiQRIQgghmrSYFqFExAfj9fjYt8kYrB0ydAjBgwahXS4y336bMa3HcH7n89FoHlz0IAXugsMZmK1w0TvQ9XRjBYM5l8LuRVUu/+Qeicy/eww3jemI2aT4bt1BTv7fAmYt3oVXBnE3WRIgCSGEaNKUUnToa7Qi7VyVVnIubsoUALI+/hhPZib/HPJPWoS2YH/+fp5e/vSRmVhscMls6DwePA744BLYs7TKdQixWbj/jB58feso+reJIr/Iw7SvN3L+K4tZfyAnMF9U1CsJkIQQQjR5nQYmALBrbToetzHjdeiokQT17o12Osl8ZxbhtnD+M+o/KBSfb/ucX/aWGW9kscPE96HjieAugA8ugn3Lq1WPni0jmHvzCB47rzfhQRbW7s/hnJcW8dg3GykokkHcTYkESEIIIZq8pA4RhEXbcTu9JXMiKaWIu8UYi5T1wQd4s7MZkjSEyb0nAzBtyTTSCtOOzMgaBJfOgfajwZUP718AB1ZSHWaT4sph7fjl7rGc1bcFPg1vLdrF+BkL+GnDwVp/V1E/JEASQgjR5CmTotMgoxVp+8rUkvNhJ56IvVs3fIWFZL73PgC39r+V7jHdyS7K5qElD6F1mXFCthCY9DG0GwlFufDe+ZC8utp1SogI4qVJA5l1zRDaxASTnOPkxvdWcuO7K0jOdtT4u4r6IQGSEEKIZqHzoFLdbP6FZZVSxN1sjEXKfO89vPn52Mw2nhr9FHazncUHFvPRlo+OzswWagRJbU4AZw68dx4cXFejeo3rlsBPd47llnGdsJgUP208xPgZC3hr0S48Xl+N8hR1TwIkIYQQzUJi+wjCY4LwFHnZsz6j5Hz4+PHYOnbEl5tL1gdzAOgU1Ym7Bt0FwP9W/I+d2TuPztAeDpd/Bq0GgyML3j0XUjfVqG7BNjP/Oq07394+mkHtoilweXnsm42c+/Ji1u7PrlGeom5JgCSEEKJZUEqVtCKV7mZTZjNxN90IQOasWfgKCwG4rPtljGg5giJvEfctvA+31310pkERcMVcaDkACjOwzLmAMOeBGtexW1I4n940nCcv6ENEkIUNybmc9/Jipn21gTxnOeWLBiMBkhBCiGaj82AjQNq9Lh13kbfkfMSZZ2Jt0wZvVhZZn3wCgEmZeGzkY0TaI9mUuYlX1rxSfqbBUXDF55DUB1WQxshtT0HG9hrX0WRSXDa0Lb/cM47z+rfEp2HWkt2cMmMB369LOXpMlGgQEiAJIYRoNuLbhhMRF4TH5WP3uvSS88piIfbGGwDIeOstfA5jkHRCSALThk8D4K11bx05y3ZpITFw1VfohJ4EeXKwfHA+ZJbTLVeduobbee7SAbx33VDax4ZwKLeImz/4m+tnr2B/VmGt8ha1JwGSEEKIZsPoZksEYPuK1COuRZ17LtaWLfGmpZP14eGB2ae0O4VzO52LRvPvRf8m35VffuYhMXgmzSU3qBUqLwVmnQ1Zu2td59Fd4vnhzjHcdlJnrGbFL5tTGT/jD17/YwduGcTdYI7bAEkp1UYp9btSaqNSaq1S6uKGrpMQQoja6zrUCJB2r0vHWXB4XI+y2YibOhWAjDfewJt/eLmR+4beR6uwVhzIP8B/l/+34sxD41nS+V50bGfI3Q+zz4bsfbWuc5DVzD0TuvH9HaMZ2j4Gh9vLE99t5uwXF/H33qxa5y+q77gNkAAPcKfWuicwAXhOKRXawHUSQghRS7GtwohrE4bPq9m+4tAR1yLPPQdb+/bGWKT33i05H2YLK5lle972efyy55ey2ZYoskbhufwLiOkE2Xth9lmQU/OB26V1TgjnoxuH8fSFfYkKsbL5YB4XzlzCg/PWkeOQQdz16bgNkLTWKVrr1f79g0A6ENOglRJCCBEQ3U5IAmDzn0fOXK0sFuJuuxWAjLffwZtzeJ20QYmDuKb3NQBMXzqddEc6FQpvAVd/DdHtjW622WdDbkpA6m4yKS4Z0oZf7h7LhQNbozW8/+deTpmxgK/XJMsg7nrSaAMkpdQYpdTXSqlkpZRWSp1XTpqpSqndSimnUmqZUmpoDcsaBJi11rVvJxVCCNHgugxJRJkUh3blkn3oyAHPEaefjr1rV3x5eWS89fYR16b2n0q36G5kFWXxyJJHKg9GIlsZQVJkW8jcAe+eA/mpFaevptgwO/+7pB9zbjiBjnGhpOUVcduHq5j8znL2Zsgg7rpmaegKVCIUWAO8DXxe9qJSaiIwA5gCLAPuBH5USnXTWqf606ym/O84QWud7E8TA7wL3FBZZZRSdsBe6lQ4gNvtxu0OXLNncV6BzFOUT551/ZDnXD/kOR/JFmKidfco9m3MYuOSAww5q/0R16OnTuXgHXeQ+d67hE+6DEtsLAAKxWPDH+PyHy7nj/1/8PHmj7mw84Ul9x31nENbwBVfYHnvHFT6VvSss/Bc8SWExgXsuwxpG8lXU4fz+h+7mPnHThZsTWP8swu47cROXDuyHVZzo23rqLG6/Hmuap6qKTTVKaU0cL7Wel6pc8uA5VrrW/3HJmAf8KLW+qkq5msH5gNvaK3fO0baacAjZc/PmTOHkJCQKn4TIYQQ9aUwxULm6mDMwT6SxhagVKmLWtP2pZcJ2r+frFEjSTv77CPuXexczPfO77FhY2r4VGLNsZWWFVp0iJHbniDYnUVOUBsWd7kPtyU84N/pkAM+3WliW64RFCUFayZ29NIxIuBFNVuFhYVMmjQJIFJrnVtRuiYZICmlbEAhcFGZoGk2EKW1PrcKeSpgDrBFaz2tCunLa0Han56eTkRE4H4y3W438+fPZ/z48Vit1oDlK44mz7p+yHOuH/Kcj+ZxeXnv38twO72cdXsfWnaJOuJ64ZIlJN80BWWz0e7bb7AkJZVc82kfU36dwopDK+gb15c3T3kTi8lS+XPO2G60JBWkohP7GAO5g48sMxC01sxbncKTP2whq9BoDZk4uDX/nNCFyODm8d++Ln+ec3NziYuLg2MESI25i60ycYAZOFTm/CGgexXzGAlMBNaWGt90pda63NUItdZFQFHxsfL/U8RqtdbJX0Z1la84mjzr+iHPuX7Icz7MarXSZVACGxensH1FOu16xh9xPWLMGLIGD8KxYiXZb75Fi+nTjrj+xKgnuOCrC1ibvpb3trzHjX1vPCLvo55zUg+Y/A3MOhN1aB3Wjy6GK+fVSZB0ydB2jO/Vgie/38QnK/bz8Yr9/LI5lYfO6sk5/VqW/I5q6uri57mq+TW/jssq0lov0lqbtNb9S201W6pZCCFEo9RtWAsAdqxMxeX0HHFNKUXCHXcAkD13Lq59R76n0yKsBQ+c8AAAM1fPZEPGhmMXGN8NrvoKQmIheRW8fyE4K2ykqJXoUBtPX9SPj28cRueEMNLzXdzx0WqufOsvGcQdAE01QEoHvEBimfOJwMGjkwshhDgetegcSWRCMO4i7xEL2BYLGTKE0JEjweMh/aWXj7p+VsezmNBuAh7t4f6F9+P0OI9daGJPuOpLCI6GAyvgg4uhqILZuQPghI6xfHf7aP4xoSs2i4lF29M59bk/eHvRLry+xj+MprFqkgGS1toFrAROLj7nH6R9MrC0oeolhBCicVFK0XNkSwA2LU4uN038nUYrUs7XX1O0/chFaJVSPDTsIeKD49mVs4sXV79YtYKT+hjda0GRsO9PmHMJuAqOeVtN2Swmbj2pCz/dOYZhHY2ZuB/9ZiMXv7qE7al5dVZuc9ZoAySlVJhSqr9Sqr//VAf/cVv/8QzgBqXU1UqpHsBMjKkB3mmA6gohhGikug1LQpkUB3fmkpl8dJAS3KcPYSefDD4fac+/cNT1qKAoHhv5GAAfbv2Q7e7tR6UpV8v+cOUXYI+APYvhw0vBVbddX+3jQplz/TAeP683YXYLf+/N5oznF/Hyb9tlXbdqarQBEjAYWOXfwAiIVgGPAmitPwb+4T9eDfQHTtNalx24LYQQ4jgWGmmnfR/jNf2NS8pvRUq48w5Qirz583GsXXvU9ZGtRnJpt0sBmFs4l5yinKPSlKvVILhiLtjCYNcf8NEkcFehm64WTCbFFcPa8dNdYxjXLR6X18czP27hvJcXsyG5ivUWjTdA0lr/rrVW5WyTS6V5SWvdTmtt11qfoLVe1oBVFkII0Uj1HGV0s2358yBe99EtKfYuXYg815ghJvXZZ8vN4+7Bd9MuvB15Oo+nVlRpuj1Dm6Fw+WdgDYWdv8HHV4Cn6Nj31VLLqGDemTyEGZf0IzLYyobkXM59aTH/9+MWijzeOi+/qWu0AZIQQggRKG17xhAaZceZ72bX2vLXWIu79VawWilc+icFS5YcdT3YEszjIx7HhIkf9/zIdzu/q3oF2g2Hyz8BSzBsnw+fXA0eV02/TpUppbhgYGvm3z2G03sn4fFpXvptO2e+sIi/92bVeflNmQRIQgghmj2T2UT34cZEkBsrGKxta92K6EuNbrTUGc+Wuw5br9hejAsaB8Djyx7nYEE1XpxuPwomfQyWINj6PXx2DXjrZ2mYhPAgZl4xiJmXDyQuzM721HwunLmER7/eSKHLc+wMjkMSIAkhhDgu9BhhdLPt25RJbrqj3DRxU25ChYTgXL+evJ/ml5tmrH0svWN7k+fK48HFD+LT1Rj83HEsXDoHzHbY/A3MvR689RegnN6nBT/fPYYLBrZCa3h78S5Oe24hS3aU36p2PJMASQghxHEhMj6YNj1jQMOGhQfKTWOJjSV28tUApD33HNpzdPBiVmYeG/4YwZZglqUsY86mOdWrSOeTYeL7YLbBxnkwbwr46m9MUFSIjRmX9Oeda4bQIjKIvZmFTHpjGQ98sY48pyx2XEwCJCGEEMeN3mNaAbBpSUq5g7UBYq65BnNUFK5du8iZN6/cNO0i2vGPwf8A4NmVz7Ije0f1KtJ1AlzyLpgssO5T+HJqvQZJACd2S+Cnu8Zw+QnG7Dlzlu1lwrN/8NvmoyfUPB5JgCSEEOK40b5PLKFRdhx5bnasLj8QMIeHE3vTTQCkvfQyvqLy3zi7uOvFjGo1CpfPxf0L78dd3fFE3U6Hi94BZYY1H8LXt4OvfucqCg+y8p/z+/DhDcNoFxtCSo6Ta2Yt566PV5NVUPeDyBszCZCEEEIcN0xmU8kr/+sXlN/NBhA96TIsSUl4Dh4ka86H5aZRSvHoiEeJskexKXMTM9fMrH6Fep4DF74JygSr3odv76r3IAlgeKdYfrhjDNeP6oBJwRerDjD+2QV8ty6l3uvSWEiAJIQQ4rjSc2RLlEmRsj2HjAPlr5FmstuJv3UqABmvvYY3v/x08SHxPDL8EQDeWv8Wq1JXlZuuUr0vgPNfN4KklbPg+39COW/Q1bVgm5kHz+rJ3JtH0MW/+O0tH/zNlPdWkppXt5NbNkYSIAkhhDiuhEXb6dAvDoANC8t/5R8g8rzzsHXogDc7m8y3K17F6pR2p3BOp3PwaR8PLHyAAncN1lzrezGc+wqgYPmb8MP9DRIkAQxoG803t4/itpM6YzEpfthwkPEz/uCzlfvLnfqguZIASQghxHGn92hjsPaWP1NwOct/zV5ZLMTfeScAGbNm4cnIqDC/+4beR8vQluzP388zy5+pWaX6Xwbn+BfDXTYT5j/UYEGS3WLmngnd+OrWUfRuFUGOw80/Pl3D5HeWcyC7/CkSmhsJkIQQQhx3WnePJjI+GJfTy7blFS/hGT5hPEG9e6MLC0l/9bWK09nCeXzU4ygUc7fN5be9v9WsYgOvhLP8S50seRF+ebTBgiSAni0jmHfLSP51WjdsFhMLtqYxYcYC3vtzDz5f825NkgBJCCHEcUeZFL38r/yv/+NAhV1HSikS7r4LgOyPPsJ9oOKB3UOShjC512QApi2dRoaj4hanSg2+Fs74P2N/0Qz4/cma5RMgFrOJW8Z15rvbRzOoXTQFLi8PzVvPZW/8ye70GnQnNhESIAkhhDgu9RjeArPFRPq+fFJ351WYLnTECEKGD0O73WS+UvmbarcOuJUu0V3IdGYybem0mo/ZGXoDnOoPjBb8FxbUsNsugDonhPHJTcN55OyeBFvNLNuVyWnP/8Ebf+zE2wxbkyRAEkIIcVwKCrPSeVACAOv/2F9p2oS7jFakvK+/xnaw4i45m9nGk6OexGqy8vu+3/li+xc1r+DwW2D8o8b+b4/DomdrnleAmE2Ka0Z24Ke7xjCycyxOt4//fLeJC2YuYeuhioPMpkgCJCGEEMet3mONbrZtK1JxFlQ80WNw376Ejx8PWhP304+V5tktphu3D7gdgKf+eop9uftqXsGRd8BJDxn7P0+DJS/VPK8AahMTwvvXncBTF/Qh3G5hzb5sznxhIc//vA2Xp/7ncaoLEiAJIYQ4biV2iCC2VRhet48tfx6sNG38nXeAyUTYho0416ypNO2VPa9kcOJgHB4HDyx6AG9tlhEZ8w8Yd7+x/9O/4c9Xa55XACmluHRoW+bfPZZTeiTg9mqe/Xkr57y0iHX7cxq6erUmAZIQQojjllKqpBWpssHaAPZOnQg/5xwAMp5/odK0ZpOZ/4z6D6HWUFanreadDRXPo1QlY++F0cbab/xwrzFXUiORFBnEG1cN5vlL+xMdYmXzwTzOe2UxT32/Gae7fteXCyQJkIQQQhzXug5NxGo3k32okP1bsipNG3PLzfjMZhzLl1OweEmlaVuGteSBEx4A4OVVL7MpY1PNK6kUnPSg0eUG8O09xqzbjYRSinP7t2L+3WM5q28LvD7Nqwt2cMbzC1mxO7Ohq1cjEiAJIYQ4rtmCLHQblgTAut8qH6xtbdGCnOHDAUibMQN9jHXTzu54NuPbjcejPdy/8H6cnlos2aEUnDIdhhlLoPD1nbDqg5rnVwfiwuy8NGkgr185iIRwOzvTC7j4taVM+2oDBUXlT8jZWEmAJIQQ4rjXZ2xrAHavTSc3o/KZojNPHIcKCcG5cSN5P1Y+YFspxUPDHiIuOI4dOTt4/u/na1dRpeDU/8DQmwANX06FNR/XLs86MKFXEvPvGsslg1ujNcxasptTn/uDRdvSG7pqVSYBkhBCiONeTMtQWnePRmvY8EfFk0ECeMPCiJ58NQBpzz2Pdlf89htAdFA0j44wXtd/f9P7/JnyZ+0qqxSc/l9jQkk0zJsC6z6rXZ51IDLEytMX9ePda4fSKiqY/VkOrnhrGfd+tpYcR+XPrDGQAEkIIYQA+owzWpE2LkrB46p8cHHUVVdhjo7GtWcP2V8ce66j0a1HM7HbRAAeXPQgOUW1fMtLKTjjfzDwKtA++PxG2DCvdnnWkTFd4/nprjFcPbwdAB+v2MeEZxcwf2PF80k1BhIgCSGEEED7vnGExdhxFrjZtiK10rSm0FDiptwEQPpLL+NzHnts0d2D7qZdRDsOFR7iiWVP1L7CJhOc9Tz0mwTaC3Ovg83f1j7fOhBqtzD93N58ctNwOsSFcii3iBveXcFtH64iI7+ooatXLgmQhBBCCMBkUiVjkdb9vv+Yy4REXXoplpYt8KSmkvXBnGPmH2IN4YlRT2BWZr7b9R3f7/o+EJWGc1+CPpeAzwOfXA1bfqh9vnVkaIcYvr9jNDeN7YhJwddrkhn/7B98tSa55suy1BEJkIQQQgi/HiON9dnS9uZxaFdupWlNdjvxt94GQPrrr+PNrTw9QN/4vtzY90YAHvvzMQ4VBKCbyWSG82ZCrwvA54ZProQdv9U+3zoSZDVz/+k9mDd1JN2TwskscHH7h6u44d2VHMqtxVt+AXbcB0hKqRCl1B6l1P81dF2EEEI0rOAwG12GJgKw9hiv/ANEnnsOtk6d8OXkkPH221Uq44a+N9A7tjd5rjweWvwQPh2ApTnMFrjgdehxNnhd8NHlsH9l7fOtQ31bR/HVraO485QuWM2Knzcd4pQZC/hk+b5G0Zp03AdIwL+BWr5SIIQQorno6x+svePvVApyKh8fo8xmYwkSIHP2u3jSj/0au9Vk5YnRTxBkDmJpylI+3Pxh7SsNYLbChW9Bx3HgLoAPLoK0LYHJu47YLCbuPKUr39w2mn6tI8lzevjX3LVcM/tvMhq4Mem4DpCUUl2A7kAAOoKFEEI0B/Ftw0nqGInPq9m4KPmY6cNPOYWgvn3RDgfpM6u2TlqHyA7cM/geAJ5d+Sw7s3fWqs4lLHaY+AG0GgSOTHjvfMiuxWK59aRbUjhzbx7BA2d0x24xsXhHBk+tMfPJimO34tWVRhsgKaXGKKW+VkolK6W0Uuq8ctJMVUrtVko5lVLLlFJDq1nM/wH3B6TCQgghmo0+Jx5en817jNXplVIk3H0XAFmffIJrX9UCkondJjKy5UiKvEXct/A+3N4AzQ1kD4NJn0JcV8g9YARJBY1/gkaL2cSNYzrxw51jGNwuCpdP0ZAdbY02QAJCgTXA1PIuKqUmAjOA6cBAf9oflVIJpdKsVkqtL2drqZQ6F9iqtd5a919FCCFEU9JpQAIhETYKc1zsXJ12zPShw4YROmIEuN2kvfhilcpQSvHoyEeJtEeyKXMTr66tWutTlYTGwpVfQERryNhmdLcV5QUu/zrUIS6UD64dwjVdvVwyqFWD1cPSYCUfg9b6e/xdX0qp8pLcDbyhtX7Hn2YKcCZwLfCUP4/+FeWvlBoGXKqUuhgIA6xKqVyt9aMVpLcD9lKnwgHcbjfuY8yiWh3FeQUyT1E+edb1Q55z/ZDnHHjdRybx9/d7WfvrPtr3iwEqf87Rt99GwZIl5H79DZFXX429a9djlhFtjebfQ/7Nvxb9izfXvcnwxOH0i+8XmC8QkgiXfYrlvbNQyavwfXgZ3okfGd1wjZzX66F/rMbj8VQUA9RYVf+MqMYwUvxYlFIaOF9rPc9/bAMKgYuKz/nPzwaitNbnVjP/yUBvrfU/KkkzDXik7Pk5c+YQEhJSneKEEEI0AV6nIuX3UNCKhJEF2CKO/bZZi/c/IHzdOvJ79CDZvxxJVXxW8Bmr3auJMcUwNXwqdhW4ICaqcCcjtz2FxeckOWoIy9tPBdWYO5DqVmFhIZMmTQKI1FpXODdDo21BOoY4wAyUnUDiEMag67rwJEaXXrFwYP+ECROIiIgIWCFut5v58+czfvx4rFZrwPIVR5NnXT/kOdcPec5145eczez4O41oX0fGntH1mM/Z1aMHe8+/gLBNmzixRQuCBwyoUjmjXaOZ+N1EDhYeZEP8Bh4c+mBgv8iuvuiPL6Vl9nLO5he8p88wlitppOry5zm3CvNVQdMNkAJKaz2rCmmKgJL3PYub/KxWa538ZVRX+YqjybOuH/Kc64c858Dqd1IbdvydxvYVaYy6qCtWm/FsK3rO1q5dibrgfLI//YzMF16g3XvvVamLKMYawxOjn+C6H6/j8+2fc1LbkxjbZmzgvkjXk+HCN+HTyZhWv4cpLB5OOapTpNGpi5/nqubXVNvY0gEvkFjmfCJwsP6rI4QQojlK6hRJXJswvG4fGxcf+5V/gLipU1E2G44VKylYuLDKZQ1JGsJVPa8C4OElD5PpzKxRnSvU81w461ljf9EMWPJSYPNvZppkgKS1dgErgZOLzymlTP7jpQ1VLyGEEM2LUoo+/okj1y84gM937HG71qQkoi+/HIDUGc+ifVWfKfu2gbfROaozmc5Mpi+ZHvgZpQdNhpP9LUc//RtWB2iSymao0QZISqkwpVR/pVR//6kO/uO2/uMZwA1KqauVUj2AmRhTA7zTANUVQgjRTHUdkog91EJehpO9G6rWqhN74w2YwsIo2ryZ3O+rPhex3WznqdFPYTFZ+HXfr8zbPq+Gta7EqLtg+K3G/pdTYYvMlVyeRhsgAYOBVf4NjIBoFfAogNb6Y+Af/uPVQH/gNK11AFb+E0IIIQwWm5meI1sCsOGPqnWzWaKjib3uWgDSnn8BXY3pF7rFdOO2AcYiuE/99RT78wI8m7RSMP4x6DcJtBc+nQy7Fwe2jGag0QZIWuvftdaqnG1yqTQvaa3baa3tWusTtNbLGrDKQgghmqneY1qBggObs3HnV+1XZ8xVV2GOjcW9dy/Zc+dWq7yre17NwISBFHoK+feif+P1eWtS7YqZTHDOi9DtDPA44cNLIWVtYMto4hptgCSEEEI0FhFxwbTvEwdA/t4qvgUVGkrclCkApL/8Cj6Ho8rlmU1mnhj9BKHWUP5O/ZtZG2ZVu87HLsQCF70N7UZCUS68fyFk7Ah8OU2UBEhCCCFEFfQ90RisXbjfisvhqdI9URMvwdqqFZ60NDLff79a5bUKa8V9Q+8D4KXVL7E5c3P1KlwV1mC47ENI7AMFqfDeeZCbEvhymiAJkIQQQogqaN09mqjEYLRXsW15apXuMdlsxN1mDIjOeONNvDk51Srz3E7ncnLbk/H4PNy/8H6KvEXHvqm6giLhys8hpiNk74X3LwBHVuDLaWIkQBJCCCGqQClFrzGHB2tX9RX8yLPPxt6lM77cXDLeervaZT48/GFig2LZnr2dF/5+odr1rpKwBGNx27AkSN0IcyaCq7BuymoiJEASQgghqqjL0ASUWZN9yMH+zVVrZVFmM/F33QVA5rvv4k6tWutTsZigGB4daayj/u7Gd1mWUkfvI0W3N1qSgiJh3zL45CrwHr+LH0uAJIQQQlSRLchCSGsjaFj7W9Vfvw878USC+/dHO52kz5xZ7XLHtB7DxV0vBuDBxQ+S66raemLVltgLJn0KlmDYPh/m3QzVmOiyOZEASQghhKiGsLZGgLR7XTq56VV7M00pRfzdRitS9qef4dq7t9rl/mPwP2gb3paDBQd5ctmT1b6/ytqeABPfA5MF1n0KP9wHgZ7RuwmodYCklAoKREWEEEKIpsAa5qNV9yjQsP6PA1W+L3ToUEJHjwaPh7QXXqx2uSHWEJ4Y/QQmZeKbnd/ww+4fqp1HlXUZD+e9auz/9Rr88UzdldVI1ShAUkqZlFIPKaUOAPlKqY7+848ppa4LaA2FEEKIRqa3f7D2xsXJeFxVn8Qx4a47Acj95hucm6v/2n6/+H7c0OcGAB5b+hiHCupw8Yi+F8PpTxv7v/0Hlr9Zd2U1QjVtQXoQmAz8C3CVOr8euL6WdRJCCCEatTa9YgiPDaKowMPW5VUPUoJ69iTijNMBSHv2uRqVfVO/m+gZ25NcVy4PL3k48AvalnbCTTD2XmP/23/A+urNCN6U1TRAugq4UWv9AVA6dF4DdK91rYQQQohGzGRS9B7bCoB1v++vVpASf/vtYDaTv2ABhStWVLtsq8nKk6OfxG62syR5CR9t+ajaeVTLuPthyPWAhs9vgu2/1G15jURNA6RWwPYK8qvaHOxCCCFEE9ZzZEvMVhPp+/I5uKPqE0Da2rcn6sILAUid8WyNWoA6Rnbk7kF3AzBjxQx25eyqdh5VphSc/gz0ugB8bvj4Cti3vO7KayRqGiBtBEaXc/4iYFXNqyOEEEI0DUGhVroOTQSMVqTqiJt6C8pux/H33+QvWFCj8i/tfikjWo7A6XXywMIHcPvqcM4ikwnOfw06nQTuQphzMaRuqrvyGoGaBkiPAi8ppe7153GBUuoN4N/+a0IIIUSz12ecsT7bjr/TKMiu+jIg1sREYq68AoC0Gc+iazDXkEmZeHTEo0TYIlifsZ431r5R7TyqxWKDie9D6yHGUiTvXWAsTdJM1ShA0lp/CZwNnAIUYARFPYCztdbzA1c9IYQQovGKbxNOi86R+HyaDQur/so/QOz112MKD6do61Zyv/22RuUnhiby0PCHAHh97eusTVtbo3yqzBYKkz6B+O6QlwzvnQ/5aXVbZgOp8TxIWuuFWuvxWusErXWI1nqU1vqnQFZOCCGEaOyKW5E2LEzG66l6S5A5KorY64yZcdJeeBHtch3jjvKd1v40zux4Jl7t5YFFD1DoruM11EJijHXbIttCxnb44EJw1tHM3g1IZtIWQgghaqHjgHhCIm0U5rrYsaqa66xddSXmuDjc+/aR9dlnNa7DAyc8QGJIInty9zBj5Ywa51NlES2NICkkDlLWwEeTwO2s+3LrUZUDJKVUllIqsypbXVZYCCGEaEzMZhO9x/hf+f+tet1sppAQ4m6eAkD6KzPxFdas9SfCFsF/Rv0HgI+3fMyiA4tqlE+1xHWGK+aCLRx2L4S514HXU/fl1pPqtCDdCdzl3x73n/sRmObffvSfeywwVRNCCCGahp6jWmIyKw7uzCFtb1617o2++GKsrVvjTU8n8733a1yHE1qcwBU9jIHf05dOJ9+VX+O8qqxlf7jsQzDbYfM38M0dzWbdtioHSFrr2cUbMBJ4WGt9mdb6Bf92GfAwMLauKiuEEEI0RqGRdjoNTABgbTVf+Vc2G/F33A5Axptv4s3OrnE9bh94O23C23Cw4CDPrny2xvlUS4fRcNHboEyw6n34+ZH6KbeO1XQM0qlAeavk/YDxZpsQQghxXOl7ojFYe9tfh3DmV29Ooogzz8TerRu+vDwy3qz5mmfBlmCmj5gOwCdbP+GvlL9qnFe19DgLzn7B2F/8vLE1cTUNkDKAc8s5f67/mhBCCHFcSewQQXzbcLweHxsXJ1frXmUyEX/nHQBkvvc+7kM1X4R2SNIQJnabCMAjSx6p+7faig28Esb7p0Kc/7DRmtSE1TRAegT4r1Lqa6XUg/7ta+Ap/zUhhBDiuKKUKnnlf92C/fh81RuLEzZuHMEDB6KLikh/ZWat6nLXoLtoEdqC/fn7eXHVi7XKq1pG3mFsAF/dBpu+qb+yA6ymE0XOwhiHlAtc4N9ygVH+a0IIIcRxp8vgBIJCreRnFrF7bXq17lVKkXCPsb5a9mef4dq9u8b1CLWG8shwo73ig00fsDp1dY3zqrZTpsOAK0D74LNrYdfC+is7gGozUeQyrfXlWuuB/u1yrfWyQFZOCCGEaEosNjM9R7UEqr8+G0DIoEGEjh0DXi9pL9Su5Wdkq5Gc1/k8NJqHFj9EkbfqS6HUilJw1vPQ/SzwFsGHl0Hy6vopO4BqFCAppdpWtgW6kkIIIURT0WtMS5SC/ZuzyEwpqPb9CXfdBUDud9/h3LixVnX5x+B/EB8cz+7c3cxcXbtuu2oxW+DCt6D9aHDlwfsXQvr2+is/AGragrQb2FXJ1iQopToopX5TSm1USq1TSoU2dJ2EEEI0bRGxwXToFw/A+hq0IgV1707EWWcBkPrsc7WqS6Q9koeGGWu1zdowiw3pG2qVX7VYg+DSOdCiHxSmG+u25VZv8HpDqmmANAAYWGo7AZgCbAUuDkzV6sUsjPmcemLM31RP7Y9CCCGasz7jjJm1N/95EJej+rNLx99+G1gsFCxcSMFftXtV/8S2J3JGhzPwai8PLXkIt7d6UxDUSlAEXD4XYjpBzl4jSCpsGgtu1HSQ9poy2wqt9RvAP4DbA1vFuqGU6gW4tdYLAbTWmVrr5jNHuhBCiAbTqls00S1CcRd52fxnSrXvt7VtS9TFFwGQNuNZdC1np75v6H3EBMWwLWsbb6x7o1Z5VVtYPFw1D8JbQtpmmHMJuKrf9VjfAr1Y7RZgSCAyUkqN8U8jkKyU0kqp88pJM1UptVsp5VRKLVNKDa1GEV2AfH8ZfyulHghEvYUQQgilFH39rUjrfj+AruYr/wBxN9+MCgrCsXo1+b/9Vqv6RAdF88AJxq+5N9a+wZbMLbXKr9qi2sKVn0NQFOxfDh9fCR5X/dahmiw1uUkpFVH2FNACY022bbWsU7FQYA3wNvB5OXWYCMzA6NpbhrFW3I9KqW5a61R/mtWU/x0n+M+PBvoDqcAPSqnlWuv55VVGKWUH7KVOhQO43W7c7sA1VxbnFcg8RfnkWdcPec71Q55z/ajOc+44KI4lX+wg+1Ahu9en0bpHdPUKi44m8vLLyX7rLVJnPIt9xAiU2VyTagNwYssTOanNSfy671ceXPQg7576LhZTjcKAmonujLr0I8wfXIDa8Qu+z2/Ee95rxhIlZdTlz3NV81Q1abZTSvmAsjcqYB9wqdZ6abUzrbw8DZyvtZ5X6twyYLnW+lb/sclf/ota66eqkOdwYJrW+lT/8T8BtNbPVJB+GuVMgjlnzhxCQkKq+5WEEEIcB7I32snfYyMowUPcIEe17zcVFtLh6acxO5ykTLyEvIEDa1WfPF8eL+S9gEM7GB80nrFB9b98anzuWobtfBaT9rIz7hTWtb7SmBqgnhQWFjJp0iSASK11bkXpaho6nljm2AekAdvrYxyPUsoGDAKeLD6ntfYppX4Ghlcxm+VAglIqGsgBxgCvVZL+SYwWq2LhwP4JEyYQEVG2Qa3m3G438+fPZ/z48Vit1oDlK44mz7p+yHOuH/Kc60d1n3P24EI+eWwlzjQLo4aeSERccLXLzMrJJeO552izaBHt7r0XVcv/vqG7Qnl46cMscC3gppNvomNkx1rlV31n4NvQFTXvJjqm/0y7HgPwjbn3iBR1+fOcm1thTHSEmgZIGlhSNhhSSlmUUmO01n/UMN+qigPMQNnFag4B3auSgdba4x939AdG69dPWusK50TXWhdR6i035Y92rVZrnfxlVFf5iqPJs64f8pzrhzzn+lHV5xzfKpK2PWPYuzGTzUtSGXlh52qXFXf1VeR88AGeA8nkf/4FMVdcXpMqlzivy3nM3zufhQcW8thfjzH7tNmYTTXvuquR/hPBnQff3oN54TOYw+LhhJuOSlYXP89Vza+mg7R/A2LKOR/pv9YkaK2/11r30Vr31lrf3dD1EUII0fz0OdFYn23T4mTcLm+17zcFBxM39RYA0mfOxFdQuzfAlFI8PPxhwqxhrElbw5zNc2qVX40NuR7G+d+P+v5fsPbThqlHBWoaICmOHoMEEAvUx7t76YAXSCxzPhE4WA/lCyGEEFXStlcsEXFBFBV62PZX2Y6Pqom68EKsbdvizcgg8913a12npNAk7hl8DwAv/P0C+3L31TrPGhn7LxjqbzmaNwW2lfueVIOoVoCklPpcKfU5RnA0q/jYv30J/AgsqYuKlqa1dgErgZNL1c3kPw7oAHEhhBCiNkwmRZ9xRivS2t/312hOI2W1En+7Mc1gxltv48nKqnW9LuxyISe0OAGn18kjSx/Bp321zrPalILTnoI+F4PPY7z+v7dxLOta3RakHP+mgLxSxzkYLTevA1cEomJKqTClVH+lVH//qQ7+4+K13mYANyilrlZK9QBmYkwN8E4gyhdCCCECpfvwFlisJjL255OyPadGeUSccTr27t3x5eeT8cabta6TUoppw6cRbAlm+cHlfLb1s1rnWSMmE5w3EzqPB48D5lwMqbVbgy4g1apOYq31NVrra4DpwHXFx/7tJq31k1rr9ADVbTCwyr+BERCtAh711+VjjJm7HwVWY8xndJrWumbtl0IIIUQdCQq10vWEJADWL6j++mwAymQi4W5jIdus99/HfbD2I0pah7fmjoF3APC/Ff8jJb/6s34HhNkKl7wLbU4AZw6WDy8mpCitYeriV9OlRqZrret0rJHW+nettSpnm1wqzUta63Zaa7vW+gStdeNolxNCCCHK6D3WmFl7x6o0CnJqtvRn6OjRBA8ehHa5SH/5lYDU67LulzEgYQCFnkKmL51e62VNaswWApM+hoSeqPxDDN/xNOSnNkxdqEaA5F+OI9q/v8p/XO5Wd9UVQgghmqb4NuEkdYzE59VsWlyzVe2VUiTcbbx0nf355xTt3FXrepmUiUdHPIrdbGdx8mK+3PFlrfOsseBouOJzdGRbwooOYf51eoNVpTotSF9yeB6gef7jijYhhBBClFHcirRhYTI+b80GRYcMHEjYiSeC10vaCy8EpF7tI9sztf9UAJ5e/jSphQ3XckNECzyTPuNA1FC8E548dvo6UuUAyd+tVlhqv8Kt7qorhBBCNF2dByYQHG4lP6uI3WszapxP/J13glLk/fADjvUbAlK3K3teSe/Y3uS58njsz8carqsNIKYjKzrcCkGBW6miumo6DxJgLPmhlGqtlGpbegtU5YQQQojmxGw10WNkSwDW1XCwNkBQt65EnH0WAGnPPhuQullMFh4d+SgWk4Xf9/3O97u+D0i+TVWNAiSlVFel1ELAAewBdvm33f5PIYQQQpSj1+iWKAX7N2eRdbDm7zvF33YbWK0ULF5MwZ+BeUepS3QXbuprTNz45F9PkuGoeStXU1fTFqR3MBaoPQtj0diB/m2A/1MIIYQQ5YiIDaZdnzgA1v9xoMb52Nq0IfqSSwBIfXZGwLrErutzHd2iu5FdlM2TfzXcGKCGVtMAqT9wk38ts9Va6zWltwDWTwghhGh2+vgHa29eehB3UfXXZysWd/MUVHAwzjVryf/ll4DUzWqy8tjIxzArMz/u/pGf9/wckHybmpoGSBuBuEBWRAghhDhetOkRQ2R8MC6Hh61/1XzCR0tcHDFXXwVA6nPPob01D7ZK6xHbg2t7XwvA438+Tk5RzWb/bspqGiDdCzytlBqnlIpVSkWU3gJZQSGEEKK5USZV8sr/ugUHatU9FnvddZgjI3Ft30HOV18HqopM6TeFjpEdyXBm8PTypwOWb1NR0wDpZ2AY8AuQCmT5t2z/pxBCCCEqUXp9toM7c2ucjzk8nNgbbwAg7cUX8LlcAamfzWzjsZGPYVImvtrxFX/s/yMg+TYVNQ2QTvRvJ5XZis8JIYQQohJBoVa6DEkEar4+W7Hoyy/HkpCAJzmF7I8+CkT1AOgb35cre1wJwKNLHyXPlRewvBu7mq7FtqCyLdCVFEIIIZqjPuNaA7D971QKc2ve8mMKCiLuVmMm7PRXX8ObH7jlUqcOmErb8LYcKjzEjJUzApZvY1fTeZD6VrD1UUp1UUrZA11RIYQQormJbxtOYocIfB7NpiU1W5+tWNQFF2Br1w5vZiZZ770boBpCsCWY6SOMRTI+2/oZf6b8GbC8G7OadrGtBlaVs60GNgM5SqnZSqmgANRRCCGEaLaKB2uv/+MAPl/NB2sri4W4224DIOOdWXhzaz6uqazBSYO5tNulAExbMo1Cd2HA8m6sahognQ9sA27EmBOpv39/CzAJuA5jLNLjta6hEEII0Yx1HpRAUKiV/Mwi9qxLr1VeEaefhr1LZ3y5uWTODlwrEsCdg+6kZWhLDuQf4IVVgVkktzGraYD0b+AOrfVbWut1/u0t4C7gHq31B8BtGIGUEEIIISpgsZrpMbIFYLzyXxvKbCZu6q0AZM6ejTc7u7bVKxFqDeWREY8AMGfTHP4+9HfA8m6Mahog9cFYg62sPf5rYHS3tahh/kIIIcRxo/eYVqBg38ZMsg/VrvsqfMJ47N264cvPJ+OdWYGpoN+IliO4oMsFaDSPLHkEp8cZ0Pwbk5oGSJuB+5RStuITSikrcJ//GkAr4FDtqieEEEI0fxFxwbTrHQvUbn02AGUyEX+7MRYp87338GRm1rp+pd0z+B4SghPYnbubV1a/EtC8G5OaBkhTMRaq3a+U+lkp9TOw33/uZn+ajkDzfXJCCCFEAPUZa7zyv3lpCm5X7ZYMCTvpJIJ69UIXFpLx1luBqF6JCFsEDw9/GIDZG2ezLm1dQPNvLGo6D9ISoAPwMLDWvz0MdNBa/+lP857W+plAVVQIIYRoztr2jCEiLoiiQg/blteuA0YpVdKKlPXBHDxpaYGoYomxbcZyZscz8WkfDy95GJc3MLN3NyY1bUFCa52ntX5Va323f3tNa338TLEphBBCBJAyKXqPMVqR1v2+v1brswGEjhlDUL++aKeTjDffDEQVj3DfkPuICYphe/Z2Xl/7esDzb2g1DpAAlFI9lVKnKaXOKb0FqnJCCCHE8aTHiBaYLSbS9+VzaFft5jEyWpFuByDrw49wHwrssOCooCj+fcK/AXhr3Vtsztx8jDualprOpN1RKbUGWA98C8zzb1/4NyGEEEJUU1CYlS6DEwBYX8tX/gFCR4wgeNAgtMtFxmuBb+WZ0H4C49uNx6M9PLz4Ydw+d8DLaCg1bUF6HtgFJACFQC9gDLACGBeQmgkhhBDHod7+9dm2rTyEI792Y3tKtyJlf/op7uTaLWdSngdOeIBIeySbMjcxa/2sgOffUGoaIA0HHtZapwM+wKe1XgTcDzT/6TWFEEKIOpLYPoKEduHG+myLU2qdX+gJQwk54QS02036q68FoIZHiguO494h9wIwc81MdmTvCHgZDaGmAZIZKB6QnQ609O/vAbrVtlJCCCHE8ay3/5X/2q7PVqz4jbbszz/HtX9/rfMr66yOZzGm9RjcPjcPL34Yr6920xQ0BjUNkNYD/fz7y4B/KaVGYrzqvzMQFasPSqm7lFIblFIblVIvKKVUQ9dJCCGE6DI4AXuohbwMJ3vXZ9Q6v5BBgwgdORI8HtJfmRmAGh5JKcXDwx4mzBrG2vS1vL/p/YCXUd9qGiA9XureRzDmRFoInAHcEYB61TmlVDxwKzAIY3mUQcCwBq2UEEIIAVhsZnqMMDpnars+W7HiVqScL7/EtXt3QPIsLTE0kX8O+ScAL656kT255a1I1nTUdKLIH7XWn/v3t2mtuwNxQILW+pdAVrCOWYAgwOrfUhu2OkIIIYSh9xgjQNq7MYOctNqtzwYQ3K8fYWPHgtdL2it1s9DF+Z3PZ1iLYRR5i3hkySP4tK9OyqkP1QqQlFJvV7QB/we85d+vNaXUGKXU10qpZKWUVkqdV06aqUqp3Uopp1JqmVJqaFXz11qn+eu8F0gGftZaN4+RZUIIIZq8yPgQ2vaKAQ3r/wjM22dxtxmtSLnffEvRjsD/ylNKMW3ENIItwaw8tJJPtnwS8DLqi6Wa6SdjDMReBdT1eJ1QYA3wNvB52YtKqYnADGAKxjioO4EflVLdtNap/jSrKf87TgAcGGvHtffvf6+UGqO1/qO8yiil7IC91KlwALfbjdsduHkfivMKZJ6ifPKs64c85/ohz7l+1Pdz7jEqib0bMtm0OJmBp7XGYjPXKj9Lt66EnnQSBb/+SuqLL5H0zNMBqulhCfYEbu9/O/9d8V9mrJzB8MThtAxreewbS6nL51zVPFV1pjJXSr0MXIYRJL0DvK+1DuwyweWXq4HztdbzSp1bBizXWt/qPzYB+4AXtdZPVSHPi4FxWuup/uN/YjyPcn9alFLTMMZbHWHOnDmEhIRU+zsJIYQQx6I1HFwQitdhIrqPg9DWnlrnaUtJof1zz6OVYs8dd+BqkRSAmh7Jp328lf8We7x76GTpxOTQyTSW96AKCwuZNGkSQKTWusLpyqvVgqS1nqqUuhu4ALgWeFIp9S3wFvCTru3CMVWklLJhDKp+slTdfEqpnzHmaKqKfcAIpVQQ4MaY4LKyaUafxGixKhYO7J8wYQIRERHVqH3l3G438+fPZ/z48Vit1oDlK44mz7p+yHOuH/Kc60dDPOfVtn389dVuLDnxnHHjgIDkeXDjJvJ/+ole69fR4rprA5JnWX1z+zLx+4ns8OzA3d3NeZ3Oq/K9dfmcc3OrtoRLdbvY0FoXAR8CHyql2mF0u70CWJRSvbTW+dXNswbiMOZiKruwzCGge1Uy0Fr/qZT6DqO70Af8AnxVSfoioKj4uDgStlqtdfKHpK7yFUeTZ10/5DnXD3nO9aM+n3Pv0a1Z8d0e0vbmk3nAQWL72v+jPOG2W8mfP5+Cn3/Bu20bQT17BqCmR+oU24nbBtzG/634P2b8PYMxbcaQGJpYrTzq4jlXNb9aLVaLEVhojPFItesYbQBa639rrXtorXtprW+vrxYwIYQQoqqCw210GWQEFusXBGaSR3uXLkSceSYAaS++FJA8y3NFjyvoE9eHfHc+j/35GE3p12y1AySllF0pdZlSaj6wFWMOoVuBtvXUegTG7N1eoGwomggcrKc6CCGEEPWi99hWAGxbkYozPzADl+NuuQVMJvJ/+w3HunUBybMss8nMoyMexWqysmD/Ar7d9W2dlFMXqvua/ytACnAf8A3QRmt9sdb6O63rb7IDrbULWAmcXKpuJv/x0vqqhxBCCFEfEjtEENcmDK/bx6YltV+fDcDesQOR55wDQNqLLwYkz/J0ju7MlH5TAHjqr6dId6TXWVmBVN0WpClALsZyImOB15VSn5fdAlExpVSYUqq/Uqq//1QH/3Fb//EM4Aal1NVKqR7ATIypAd4JRPlCCCFEY6GUos+44vXZ9qMDsD4bQNwtN4PZTMEfCylctSogeZbnmt7X0D2mOzlFOTyx7Ik6KyeQqhsgvQv8BmQDOZVsgTAYYwB18X+xGf79RwG01h8D//Afrwb6A6dprcsO3BZCCCGavC5DErGHWMhNd7J3Y2Bm2LG1bUvUBecDkF6HrUhWk5XHRj6GRVmYv2c+P+3+qc7KCpTqvuY/uY7qUV5Zv3OMySi11i8BdTe6TAghhGgkrDYz3Ye3YM0v+1i3YD/tescGJN/Ym6aQPe9LCpYspXD5ckKGDAlIvmV1j+nOtX2u5fW1r/OfZf9haNJQooKi6qSsQKjtW2xCCCGEqCe9xxiDtfeszyA33RGQPG2tWxF14QUApD3/Qp2+aXZT35voFNmJTGcm/13+3zorJxAkQBJCCCGaiKjEENr0LF6f7UDA8o2bMgVltVK4YgWFf/4ZsHzLspltPDryUUzKxDc7v2HBvgV1VlZtSYAkhBBCNCHFrUibFqfgcXsDkqc1KYmoiRMBSHvhxTptReob35erel4FwKNLHyXXVbWZreubBEhCCCFEE9K+bxxhMXacBW62r0wNWL6xN96AsttxrFpFwaJFAcu3PFP7T6VdRDtSHanMWDHj2Dc0AAmQhBBCiCbEZFL0Gm20Iq1fELhuNmtCAtGXXQbUfStSkCWI6SOmAzB321yWJC+ps7JqSgIkIYQQoonpObIlJrPi0K5cUvcErosq9obrUcHBONetI/+33wOWb3kGJQ7isu5GQDZ9yXQK3AV1Wl51SYAkhBBCNDEhETY6DUwAAtuKZImNJeaKywFjdu26XjvtzoF30iqsFckFyTy38rk6Lau6JEASQgghmqA+/vXZti4/hLMgMOuzAcRcey2mkBCKNm0i7+efA5ZveUKsIUwbMQ2Aj7Z8xIqDK+q0vOqQAEkIIYRogpI6RRLb2lifbfPSwKzPBmCJjib6auMts/QXXkT76nap1WEthnFhlwsBeGTJIzg8gZnfqbYkQBJCCCGaIKVUSSvS+gUHArY+G0Ds5MmYwsMp2raNvB9/DFi+Fbln8D0khCSwN28vL696uc7LqwoJkIQQQogmquvQJGxBZnLSHOzbFJj12QDMkZHETL4agLSXXkZ7AzPfUkXCbeE8MvwRAN7b9B5r09fWaXlVIQGSEEII0URZ7cb6bADrAjhYGyDm6qsxRUbi2rGD3O++C2je5RnTegxndzwbn/Yx/c/peLSnzsusjARIQgghRBPW29/NtmddOrkZgRu/Yw4LI/baawFIf+lltKfuA5Z7h95LbFAsu3J38ZvztzovrzISIAkhhBBNWHRSKK27R6M1bFiYHNC8Y664HHN0NK49e8j56uuA5l2eSHskDw57EICFRQvZnLm5zsusiARIQgghRBNX3Iq0aXEyXnfg3jozhYYSe/31AKS/8graHbjpBCpySrtTGN92PD58zN0+t87Lq4gESEIIIUQT16FvHKFRdhx5brb/Hbj12QCiJ12GOS4O9/79ZH/xRUDzrsi9g+/lnOBzuH/I/fVSXnkkQBJCCCGaOJPZRK/RLYHAzqwNYAoOJu7GGwBIn/kqPpcroPmXJyYohqH2oZhUw4UpEiAJIYQQzUDPUS0xmRQHd+aQti8voHlHTZyIJSEBT0oK2Z99FtC8GysJkIQQQohmIDTSTseB8UAdtCLZ7cROuQmAjFdfw+d0BjT/xkgCJCGEEKKZKFmf7a+DFDkC+1p+1EUXYWnRAk9qKtmffBLQvBsjCZCEEEKIZqJF5yhiWobicfnY8mfg1mcDMNlsxN08BYD019/A52gca6bVFQmQhBBCiGZCKUXvMaXWZ9OBW58NIOr887G2bo03PZ2sOR8GNO/GRgIkIYQQohnpdkISFruZrIOFJG/NDmjeymol7pZbAMh48018BQUBzb8xkQBJCCGEaEZswRa6nZAEBH59NoDIc87G2q4t3qwsMt//IOD5NxYSIAkhhBDNTHE3267VaRRkFwU0b2WxED91KgAZb7+NNz8/oPk3FsdFgKSU+kIplaWUOmryBqXUWUqpLUqpbUqp6xuifkIIIUQgxbUOo0WnSHw+zcbFgV2fDSDizDOxdeyILyeHzNmzA55/Y3BcBEjA88BVZU8qpSzADOAkYADwT6VUbD3XTQghhAi44vXZNixMxucN3PpsAMpsJv5WoxUpc9ZsvDk5Ac2/MTguAiSt9e9AedOKDgU2aK0PaK3zge+BCfVZNyGEEKIudBqQQHC4lYLsInavzQh4/uGnnYa9Sxd8eXlkzJoV8PwbmqWhK6CUGgP8ExgEtADO11rPK5Nmqj9NErAGuE1r/VcAim8JlB7BdgBoFYB8S3i9XtzVWP3Y7XZjsVhwOp14vd5AVkWUUZtnbbPZMJmOi39fCCGaKLPVRI8RLfn7xz2sW7CfjgPiA5q/MpmIu+1WDtx+B1mz3yXmqquwREcHtIyG1OABEhCKEfS8DXxe9qJSaiJGN9gUYBlwJ/CjUqqb1jrVn2Y15X+XCVrrwHe+VoHWmoMHD5KdnV3t+5KSkti3bx9KqbqpnABq96xNJhMdOnTAZrPVUe2EEKL2eo1uyd8/7WH/5iyyDxUSlRgS0PzDx4/H3rMHRRs3kfn22yTcc09A829IDR4gaa2/x+jaquiX1N3AG1rrd/xppgBnAtcCT/nz6F/D4pM5ssWoFVBuy5RSyg7YS50KB6MVorwWokOHDpGbm0t8fDwhISFV/gWstaagoIDQ0FAJkOpYTZ+1z+cjJSWFAwcO0KpVK/nvdAzFfz6q05Iqqk+ec/1oas85ONJC254x7N2Qydrf9zH8go4BLyPm5ptJue12Mt9/n/DLL8cSW/uhvHX5nKuapwr0LJu1oZTSlOpiU0rZgELgotLdbkqp2UCU1vrcauQ9DrhVa31RqXMWYBMwDsgBVgIjtNZHddYqpaYBj5Q9P2fOHEJCQsqmpUWLFiQlJREeHl7VKoompLCwkOTkZFJSUvD5Ajv4UQghAsmRaiZjZQjKomlxUj4mc4AL0Jq2L71M0P79ZI4eTfpZZwa4gMAqLCxk0qRJAJFa69yK0jV4C9IxxAFm4FCZ84eA7lXNRCn1M9APCFVK7Qcu1lov1Vp7lFL3AL9hDFh/urzgyO9JjK6+YuHA/gkTJhAREXFEwqKiIvbu3UtMTAzBwcFVrSZgtGrk5eURHh4uLRN1rDbP2mq1kp2dzYknnojdbj/2Dccxt9vN/PnzGT9+PFartaGr02zJc64fTfE5+3yaj3evIC/DSZf4gXQblhTwMgoiI0m5+RZi//qLgdOnYYmv3XinunzOubkVxkRHaOwBUkBorU+p5NpXwFdVyKMIKJltq/gXqtVqPeo/ntfrRSmF2Wyu9kDe4tYIpZQMAq5jtXnWZrMZpRQWi6XJ/CXZ0Mr7syICT55z/Whqz7n3mFYs/WIHmxYdpPfoNgHPP3LcOLIHDMCxahU578wi6d8PBCTfunjOVc2vsf8GTge8QGKZ84nAwfqvjhBCCNH09BjRApNFkbonj0O7q9aCUh1KKeJvvw2A7I8+wn2w6f+KbtQBktbahTEu6OTic0opk/94aUPVSwghhGhKgsNtdB6UAMD6PwK/PhtAyLBhhAwZgna7SX/ttTopoz41eICklApTSvVXSvX3n+rgP27rP54B3KCUulop1QOYiTE1wDsNUF0hhBCiSeo9pjUA25YfwlkQ+LfDlFLE3XYrANmfzcV9oG4CsfrS4AESMBhY5d/ACIhWAY8CaK0/Bv7hP14N9AdO01qXHbgtAmDy5MkopY7aTjvttIauWp35448/OPvss2nZsiVKKebNm9fQVRJCiIBL6hhBbOswvG4fm5em1EkZoUOHEjJ8GLjdpL/6ap2UUV8aPEDSWv+utVblbJNLpXlJa91Oa23XWp+gtV7WgFVu9k477TRSUlKO2D788MNy07pcrmqdP5bq3OfxeGpURlkFBQX069ePl19+OSD5CSFEY6SUoo9/fbb1fxxA++pmmp/4224HIPvzL3Dt3VsnZdSHBg+QjgdaawpdnipvDpe3Wukr22oyz5XdbicpKemILdo/ffy4ceO49dZbufPOO4mLi+PUU0+t9HxRURG33347CQkJBAUFMWrUKJYvX15SVkX3lbV7926UUnzyySeMHj0au93OV18d8+XDKjn99NN5/PHHOf/88wOSnxBCNFZdhiRiDTKTk+pg/+asOikjZOAAQkePBq+X9Fdm1kkZ9eG4eM2/oTncXno+/GODlL3x0VMJsQX2P/Ps2bO5+eabWbx48THP/+tf/2Lu3LnMnj2bdu3a8fTTT3Pqqaeyfft2YmJiKs2vtDVr1gDwzDPP8MQTT9ChQwfiy8yz8cQTT/DEE09UWveNGzfStm3bStMIIURzZQuy0H1YC9b9vp91C/bTpmdMnZQTf/ttFCxcSM5XXxF7443YO3aok3LqkgRI4ijffPMNYWFhR5x74IEHeOABY16LLl268PTTTx91X9nzBQUFzJw5k1mzZnH66acD8MYbbzB//nzeeust/vnPf1aaX2mrV68mNDSUTz/9lPbt25ebZsqUKVxyySWV5tOyZctKrwshRHPXe0wr1v2+n91r08nLdBIeExTwMoL79CHsxBPJ/+030l95hVb/90zAy6hrEiDVg2CrmY2Plt91VJbP5yMvN4/wiPCATBQZbK3+nPInnngiM2ce2Sxa3NoDMGjQoHLvK3t+x44duN1uRo4cWXLOarUydOhQNm3adMz8SluzZg3nnHNOhcFRcR3/v717j6+yuvM9/vll50Z2wiWESxACCBjlpgjiUS4DtQr0go7T2lHLSA9tB8ZMDzPTOB7OebXTzpmUgz1tBdtoGWroOKJSa2sZhWIFrbQiQrNVLipoBOQuSkICSche54+9Q5NNsrN3si+5fN+v1/Mie+31rPXbi5D8WGs9z9M0ThERuVTuEC9DxvTlyLufsOeVI1w/P/bPZwMY8PdFnN2yhcr/+i/y/vbrZIwZE5d+4kV7kBLAzMhKT4346JXuiap+uKM9jyvxer2MHj262dE08fB6va2e1x6RnFdeXs6sWbPC1ikpKSE7OzvscbALbxgUEYmV8cHN2nteOULDhfg8TzJz7Fhybr4ZnOPkj38Slz7iSTNIEjejRo0iPT2dbdu2MXz4cCDwfJ0dO3awdOnSiNuprKykoqKCSZMmha2nJTYRkchcfs0AsnqnU1NZx3vlJxkzJfSBFbGR9/dFVL3wAlUbN3L+7cVkFhbGpZ94UIIkl6itreVYyG3iU1NTycvLi6odr9fLkiVLKC4uJjc3l4KCAlasWEFNTQ2LFi2KuB2fz4fH42HChAlh67V3ie3s2bO89957F1+///77lJeXX4xZRKS78aSmMHb6EF5/roLdL38YtwQp84or6D1vLpXPPc/JVasY9tBDceknHpQgySU2btxIfn5+s7LCwkL27dsXdVvLly/H7/ezYMECqqqqmDJlCps2bbp424BI+Hw+CgsLycyM/UZCgNdff52bbrr4NBv+8R//EYB77rmHsrKyuPQpIpJsY6cPYefzFXz4ziecPlJN7pD2bZNoS15REZUbN3H2hd9x7q3d9Bo/Li79xJoSJGmmrKwsbFKwdevWqMozMzNZuXIlK1eujOq8poqKiigqKmqzXnvNmjWrXfeLEhHpynJyMxkxMY/3fad46+UPmfnXV8Sln4zLL6f35z5L5bO/4dSqVQx7pGvcYVubtEVERHqoxs3a+149St352DydoCUD/u7vwOPh7EsvcS54X7vOTgmSiIhIDzXsylx6D+hF/fkG3t0Rv0ecpo8YQZ9bbwXg5MpVcesnlpQgiYiI9FCWYoyf2eT5bHHcbpD3d0sgNZXqbduo2bkzbv3EihIkERGRHuyqG/LxpKZw6tBZjr9fGbd+0ocOpe/ttwNdYxZJCZKIiEgPlpmdxugpA4HALFI85S3+WywtjZrt26l+dXtc++ooJUgiIiI9XOMy2/7XT3D+bH3c+kkbMoS+X/wiACdXrerUVxArQRIREenhBo3sTd6wbBou+Nn7h6Nx7av/334dS0/n3M6dVP/hD3HtqyOUIImIiPRwZk02a//+Q5w/fjM7aYMG0e/Ovwbg1MrOO4ukBElERES4Yupg0jM9VJ48x6F9p+PaV/+vfhXLzOScz0f1yy/Hta/2UoIkIiIipGV4KLwh8Jipt16K72bt1AED6Hf3XUDgirbOOIukBEmaWbhwIWZ2yTF37txkhxY3y5cv57rrriMnJ4eBAwdy22238fbbbyc7LBGRhBs/I7DMVvHGKapOn49rX/0XLcKysji/ezdnX3wxrn21hxIkucTcuXM5evRos2PdunUt1q2rq4uqvC3RnHfhQmxui//SSy9x77338uqrr7J582bq6+u55ZZbqK6ujkn7IiJdRe4QL0PG9MU52PPKkbj2lZqbS+6CBQCcXPUQzu+Pa3/RUoKUCM5BXXXkR31NdPXDHe2YtszIyGDw4MHNjn79+gGBB7sWFRWxdOlS8vLymDNnTtjy2tpavvGNbzBw4EAyMzOZPn06O3bsuNhXa+eFqqiowMx46qmnmDFjBhkZGTz77LNRf7aWPP/88yxcuJBx48Zx9dVXU1ZWxsGDB9nZBe70KiISa43PZ9vzyhEaGuKbtPT/ykJSvF5q9+2j6reb49pXtFKTHUCPUF8DJUMiqpoC9I1l38uOQLo3li2ydu1alixZwrZt29osv++++3j66adZu3Ytw4cPZ8WKFcyZM4f9+/eTm5sbtr2mfMGHGz7wwAOUlJQwcuRIBgwY0KxOSUkJJSUlYWPfs2cPBQUFYeucOXMG4GJ8IiI9yeXXDKBX73RqKut4v/wUoycPjFtfnr59yb3nHk795CecfGgVOTd/GvN44tZfNJQgySU2bNhAdnZ2s7Jly5axbNkyAMaMGcOKFSsuOS+0vLq6mtLSUsrKypg3bx4Aq1evZvPmzaxZs4bi4uKw7TVVXl6O1+tl/fr1jBgxosU6ixcv5o477gjbzpAh4RNVv9/P0qVLmTZtGuPHjw9bV0SkO/KkpjB2Wj47n/+At14+HNcECSB34T2cfuwx6vYfoPL5jfT53Gfj2l+klCAlQlpWYCYnAn6/n8qqKnrn5JCSEoMV0LSsqE+ZPXs2paWlzcqazqZMnjy5xfNCyw8cOEB9fT3Tpk37czhpaUydOpW9e/e22V5TPp+P+fPnt5ocNcbY0Vmfe++9l7feeotXXnmlQ+2IiHRl42Zcxq6NH/Dh25/w8bFq+g2O7UpEU57even/lYWcfHAlpx56iN5zW95qkWjag5QIZoFlrkiPtKzo6oc7zKIO1+v1Mnr06GZH08TD6235H0pr5ZH015by8nJmzZoVtk5JSQnZ2dlhj4MHD7Z6flFRERs2bGDLli0MHTo02o8hItJt5ORmMnxCHhD/57MB9FvwN3j69KGuooIzGzbEvb9I9IgEycyeMbOPzewXIeXDzGyrme0xszfM7IvJirE7GjVqFOnp6c32FtXX17Njxw7Gjh0bcTuVlZVUVFQwadKksPUWL15MeXl52KOlJTbnHEVFRTzzzDO8+OKLjBw5MvIPKSLSTTVu1t73x2PU1zbEtS9Ptpfcry4C4NRPSnH18XseXKR6yhLbg8DPgHtCyi8AS51z5WY2GNhpZs8553r09d21tbUcO3asWVlqaip5eXlRteP1elmyZAnFxcXk5uZSUFDAihUrqKmpYdGiRRG34/P58Hg8TJgwIWy99i6xFRUVsW7dOn7961+Tk5Nz8bP36dOHXr16Rd2eiEh3UHBVLr3zMqk8dZ53Xz/O2GmRXWzUXrl3383pR8uoP3iQqt/8BjIz49pfW3rEDJJzbitQ1UL5UedcefDrY8ApoMdfurRx40by8/ObHdOnT29XW8uXL+ev/uqvWLBgAddeey379+9n06ZNF28bEAmfz0dhYSGZcfrH8vDDD3PmzBlmzZrV7DM/+eSTcelPRKQrsBRjXPDGkfG+szZASlYW/b/2NQBOP/JTiNG97tor6TNIZjYTKAYmA/nAXzrnfhVS595gncGAD/h759xrMY5jMuBxzh2KZbtdTVlZGWVlZa2+v3Xr1qjKMzMzWblyJStXrozqvKaKioooKipqs157NTQ0xGZDvIhIN3PVjfls/817nDxYxfGKSgaN6B3X/vrd+dd89LM1XDhyhD6v74T58+PaXzhJT5AAL4Gk52fAL0PfNLMvAT8AFgPbgaXAJjMrdM6dCNYpp+XPcotzrs3Lx8wsF/g58LUwdTKAjCZFORDYU1MfslZaX1+Pcw6/348/yjuDNj6PpvF8iZ+OjLXf78c5R319PZ5Ocs+Ozqrx30fovxOJLY1zYvS0cU7NNC6fNID9O07wxpZDzPryFfHt0OOh36Kvcmr5cnJffJG6+4oh5LYzHRXp3511pgfEmZkjZAbJzLYDO5xzRcHXKcAhYJVzbnkUbc8CipxzXwgpzwA2A6udc/8R5vx/Ab4dWv7444+TldX8UvrU1FQGDx7MsGHDSE9PjzRE6ULq6uo4dOgQx44di9kjT0REOqPaj1M4+aoXUhxDZp8lJc6/1qy+nhEPfJ+0M2c4cet8Prnxxpi2X1NTw1133QXQxzlX2Vq9zjCD1CozSyew9Pa9xjLnnN/MXgBuiEH7BpQBL4ZLjoK+R2Amq1EOcPiWW26hd+/mU47nz5/n0KFDZGdnR71vxjlHVVUVOTk5WDsu0ZfIdWSsz58/T69evZg5c2bc9kZ1F/X19WzevJmbb76ZtLS0ZIfTbWmcE6MnjrNzjqcP/onTR6op6H01Ez91Wdz7PF1Tw/GHfsxV111Hv898JqZtV1a2mhM106kTJCAP8ADHQ8qPA1dG2kgwoboa8JrZYeCLzrk/AtOALwFvmNltweoLnHNvhrbhnKsFapu0CQRufBj6j6ShoQEzIyUlJeq9LY1LPY3nS/x0ZKxTUlIwsxb//qVlGqvE0DgnRk8b5wmzhvLS42+zd9tRrr15OJYS3//A9/vCF9ielcVVt94a83GOtL3OniDFhHPu062Uv0IPuZJPRESkva6YOog//HI/Z06c4/DbHzPsqvhe8G1pabgkJ6CdPTk4BTQAg0LKBwHHLq0uIiIisZaemUrh9YOBxNxZuzPo1AmSc64O2Anc1FgW3KR9E/DHZMUlIiLS04yfGdh79L7vFGc/rm2jdteX9ATJzLLN7BozuyZYNDL4uiD4+gfA18zsHjO7CiglcGuAR5MQroiISI/U/7Js8kf3wfkde17p/rNISU+QgCnAn4IHBBKiPwHfBXDOPQl8M/i6HLgGmOucC924LSIiInHU+Hy2Pa8coaGhe9+rL+kJknNuq3POWjgWNqnzkHNuuHMuwzl3vXNuexJDFhER6ZFGXTOQXjlpVJ+po+KNU8kOJ66SniBJ57Jw4ULM7JJj7ty5yQ4tbkpLS5k4cSK9e/emd+/e3HDDDTz//PPJDktEpNPxpKVw1Y2Bh9bu+X2bD6ro0pQgySXmzp3L0aNHmx3r1q1rsW5dXV1U5W2J5rxY3cF66NChLF++nJ07d/L666/zqU99iltvvZXdu3fHpH0Rke5k7PR8AA7uPU3lqXNJjiZ+esR9kJLNOce5C5F9E/n9fs5dOEdqfWpMbhTZK7VX1HeJzsjIYPDgwS2+N2vWLMaPH09qaiqPPfYYEyZMYMuWLa2W19bWUlxczBNPPEFlZSVTpkzhhz/8Idddd13Y9kJVVFQwcuRInnzySVatWsVrr73GunXruP3226MflBCf//znm431v/3bv1FaWsqrr77KuHHjOty+iEh30mdAFkOv7MfhfR+zZ9sR/tuto5IdUlwoQUqAcxfOcf3j1yel7+13bScrLavtilFYu3YtS5YsYdu2bW2W33fffTz99NOsXbuW4cOHs2LFCubMmcP+/fvJzc0N215TPp8PgAceeICSkhJGjhzJgAEDmtUpKSmhpKQkbOx79uyhoKCg1fcbGhpYv3491dXV3HBDh59mIyLSLY2bcRmH933M3j8c5brPjcTj6X4LUkqQ5BIbNmwgO+TpycuWLWPZsmUAjBkzhhUrVlxyXmh5dXU1paWllJWVMW/ePABWr17N5s2bWbNmDcXFxWHba6q8vByv18v69esZMWJEi3UWL17MHXfcEbadIUOGtFj+5ptvcsMNN3D+/Hmys7N55plnGDt2bNi2RER6qpFX59ErJ42aM3V88OZHXH7NgLZP6mKUICVAr9RebL8rsgvv/H7/xQeoxmqJLVqzZ8+mtLS0WVnjbA/A5MmTWzwvtPzAgQPU19czbdq0i2VpaWlMnTqVvXv3ttleUz6fj/nz57eaHDXG2DTOaBQWFlJeXs6ZM2f4xS9+wT333MNLL72kJElEpAWe1BSuujGfXZsOsvv3R5QgSfuYWcTLXH6/nwupF8hKy0raw2q9Xi+jR48O+3405ZH015by8nLuv//+sHU6ssSWnp5+8TNPnjyZHTt28OCDD/LII4+0GZuISE901bQh7Np0kIN7PqLyo3P07h/9f8g7MyVIEjejRo0iPT2dbdu2MXz4cADq6+vZsWMHS5cujbidyspKKioqmDRpUth6HVliC+X3+6mt7f630hcRaa++A/+8WXvvtqNcP//yZIcUU0qQ5BK1tbUcO9b8WcCpqank5eVF1Y7X62XJkiUUFxeTm5tLQUEBK1asoKamhkWLFkXcjs/nw+PxMGHChLD12rvEtmzZMj7zmc9QUFBAVVUVjz/+OFu3bmXTpk1RtyUi0pOMnT4kmCAd4brPjiClG23WVoIkl9i4cSP5+fnNygoLC9m3b1/UbS1fvhy/38+CBQuoqqpiypQpbNq0iX79+kXchs/no7CwkMzMzKj7j8SJEyf4m7/5G44ePUqfPn2YOHEimzZt4uabb45LfyIi3cXl1wz48521u9lmbSVI0kxZWRllZWWtvr9169aoyjMzM1m5ciUrV66M6rymioqKKCoqarNee/37v/970vZ7iYh0ZZ7UFK78b/n8afNB9rzSvTZr67eCiIiItNvY6YG9nR/s/oiq0+eTHE3sKEESERGRdus7KIvLCvuBgz3bus/z2ZQgiYiISIeMmxGYRdq77Sj+Bn+So4kNJUgiIiLSIZdfPYDM7DSqP6nlg92nkx1OTChBEhERkQ7xpKVw5Q2Bq5/3vNI9ltmUIImIiEiHXRVMkA6+9RHnquqSHE3HKUESERGRDssd4mXg8Bz8fse7rx9PdjgdpgRJREREYuKK6wcD8Parx9qo2fkpQRIREZGYGDNlECkpxokPqjh9tDrZ4XSIEiRpZuHChZjZJcfcuXOTHVpCLF++HDOL6mG6IiISkNU7nYLx/QF4e3vXnkVSgiSXmDt3LkePHm12rFu3rsW6dXUtb8Rrrbwt0Zx34cKFdvXRmh07dvDII48wceLEmLYrItKTFAaX2d7Zfgznd0mOpv2UIMklMjIyGDx4cLOj8eGys2bNoqioiKVLl5KXl8ecOXPCltfW1vKNb3yDgQMHkpmZyfTp09mxY8fFvlo7L1RFRQVmxlNPPcWMGTPIyMjg2WefjdlnPnv2LHfffTerV6+O6kG6IiLS3IiJ/cnISuXsx7V8+M7HyQ6n3ZQgJYBzDn9NTeTHuXPR1Q9zOBf77H3t2rWkp6ezbds2Hn744bDl9913H08//TRr165l165djB49mjlz5nD69Ok222vK5/MB8MADD/Ctb32L3bt3c9NNNzWrU1JSQnZ2dtjj4MGDLbZ/77338tnPfpZPf/rTHRobEZGeLjXNw6jJAwHY14U3a6cmO4CewJ07x9vXTo7qnFhdIFm4ayeWlRXVORs2bCA7O7tZ2bJly1i2bBkAY8aMYcWKFZecF1peXV1NaWkpZWVlzJs3D4DVq1ezefNm1qxZQ3Fxcdj2miovL8fr9bJ+/XpGjBjRYp3Fixdzxx13hG1nyJAhl5Q98cQT7Nq1q9nMloiItF/h9YPZ8/sjvF9+koZ6P560rjcf0yMSJDN7BpgF/M4594UW3s8C9gLrnXPfTHB4nc7s2bMpLS1tVpabm3vx68mTW072QssPHDhAfX0906ZNu1iWlpbG1KlT2bt3b5vtNeXz+Zg/f36ryVFjjE3jjMThw4f5h3/4BzZv3kxmZmZU54qISMvyL++Dt0861WfqOLT3NCMm5iU7pKj1iAQJeBD4GXBPK+//L+DVeHVuvXpRuGtnRHX9fj+VVVX0zskhJaXjGbf16hX1OV6vl9GjR4d9P5rySPprS3l5Offff3/YOiUlJZSUlISts2fPHgoKCi6+9vl8nDhxgmuvvfZiWUNDAy+//DIPPfQQtbW1eDyeNuMTEZE/sxTj8msH8uaWw+zfdUIJUmflnNtqZrNaes/MxgBXAr8BxsejfzOLfJnL7yflwgVSsrJikiAl06hRoy7uLRo+fDgA9fX17NixI6rL6CsrK6moqGDSpElh67VniW3mzJn4fL5mY/2Vr3yFK6+8kn/+539WciQi0k6jgwnS+75TXXKZLekJkpnNBIqByUA+8JfOuV+F1Lk3WGcw4AP+3jn3WoxC+H6w7Rtj1F6XV1tby7FjzTfWpaamkpcX3f8AvF4vS5Ysobi4mNzcXAoKClixYgU1NTUsWrQo4nZ8Ph8ej4cJEyaErdeeJbacnBwuu+yyZgmS1+ulf//+jB8fl3xZRKRHyB/Vh6w+6dScqePQvtOMmNC1ZpGSniABXgJJz8+AX4a+aWZfAn4ALAa2A0uBTWZW6Jw7EaxTTsuf5RbnXKuPFTazW4F3nHPvmJkSpKCNGzeSn5/frKywsJB9+/ZF3dby5cvx+/0sWLCAqqoqpkyZwqZNm6K6lN7n81FYWKg9QiIiXYilGJdfM4C3XvqQ932nulyCZPG4DLy9zMwRMoNkZtuBHc65ouDrFOAQsMo5tzyKtmcBRU03aZvZ94AvAw1ANpAG/D/n3HdbOD8DyGhSlAMcPnXqFL17925W9/z58xw6dIgRI0ZE/UvdOUdVVRU5OTmYWVTnSnQ6Mtbnz5+noqKCYcOGKXFrQ319PZs3b+bmm28mLS0t2eF0WxrnxNA4R+fw3o957idv0at3Gl/+1+uxlMh+1sZznCsrKxtXRPo45ypbq9epEyQzSwdqgC+EJE1rgb7OuVujaHsWIQlSyPsLgfGtXcVmZv8CfDu0/PHHHycrZH9RamoqgwcPZtiwYaSnp0caonQhdXV1HDp0iGPHjsX8jt4iIt2F88OR32XjLhgDb6gmva8/2SFRU1PDXXfdBW0kSJ1hiS2cPMDDpbcFOk5gY3VEzOwF4GrAa2aHgS865/4YZSzfI7DU1ygHOHzLLbe0OoOUnZ2tGaROrKMzSL169WLmzJmaQWqD/sedGBrnxNA4R++3R/dQ8cZHFPQfy7VzCto+gfjPIEWisydIMeGca/P2yM65sjberwVqG183/kJNS0u75C+voaEBMyMlJSXqK9H8fv/F9rv6VWydXUfGOiUlBTNr8e9fWqaxSgyNc2JonCM3fHweFW98xIf7PuH6z42K6tx4jHOk7XX238CnCOwPGhRSPgjouvcvFxER6SGGXRW4uvj4e5XUne86WxI6dYLknKsDdgIXH7oV3KR9ExDtEpmIiIgkWJ8Bveidl4nf7zjyzifJDidiSU+QzCzbzK4xs2uCRSODrxsXKn8AfM3M7jGzq4BSArcGeDQJ4YqIiEiUGmeRDu493UbNzqMz7EGaAmxp8rpxI/RaYKFz7kkzGwB8l8CNIsuBuc65WD3PVUREROJo6JW57P79EY4dOJPsUCKW9ATJObcVCHsJkXPuIeChhAQkIiIiMTVwRA4AHx0+y4X6BlLTOv9jnJK+xCYiIiLdW05uJpnZafj9jlOHzyY7nIgoQRIREZG4MjMGDg/cM/BERVWLdZxzfHK8hvfKT/Kn3x7itC+TI+9+ksAom1OCJM0sXLgQM7vkmDt3brJDi5vvfOc7l3zeK6+M+D6kIiISgcZltpMfXHqjxvPV9Tz7YDn/+e1Xef7hN9nxmwpqjqRx/P2Wk6lESPoeJOl85s6dy6OPNr9IMCMjo8W6dXV1LT5OpbXytkRz3oULF0hNjc238Lhx43jhhRcuvo5VuyIiEjAoOIN0/IPmSc8nx2vY8GMfZ06cIyXV6D8kmz6DenHizCGGXtk3CZEG6LeAXCIjI4PBgwe3+N6sWbMYP348qampPPbYY0yYMIEtW7a0Wl5bW0txcTFPPPEElZWVTJkyhR/+8Idcd911YdsLVVFRwciRI3nyySdZtWoVr732GuvWreP222+PyWdufH6eiIjEx8ARgQTp42PV1J2/QHpmKkfe/ZjnSt+ktuYCObmZfPbeifS/LJv6+nqee+4AAwpykhavltgSwDlHfW1DxMeFusjrtnXE42HEa9euJT09nW3btvHwww+HLb/vvvt4+umnWbt2Lbt27WL06NHMmTOH06dPt9leUz6fD4AHHniAb33rW+zevZubbrqpWZ2SkhKys7PDHgcPHmyx/XfffZchQ4Zw+eWXc/fdd7daT0RE2ierdzrZ/TLAwalDVVyoa2DjT9+ituYCg0b25gv3T6H/ZdnJDvMizSAlwIU6Pz/9Hy8lpe+vP/gXpGVEdznlhg0byM5u/k26bNkyli1bBsCYMWNYsWLFJeeFlldXV1NaWkpZWRnz5s0DYPXq1WzevJk1a9ZQXFwctr2mysvL8Xq9rF+/nhEjRrRYZ/Hixdxxxx1h2xkyZMglZVOnTqWsrIzCwkKOHj3Kd77zHWbMmMFbb71FTk7y/vciItLd5A3N5uzHtZw+Us2Zk+c4V1VPTm4mt/3jpE536b8SJLnE7NmzKS0tbVaWm5t78evJkye3eF5o+YEDB6ivr2fatGkXy9LS0pg6dSp79+5ts72mfD4f8+fPbzU5aoyxaZyRmjdv3sWH1U6cOJHrr7+e4cOH89RTT7Fo0aKo2xMRkZb1y/dS8eZHnD5SzdH3AjeNHD/rsk6XHIESpIRITU/h6w/+RUR1/X4/VVWV5OT0jvoJ8631HS2v18vo0aPDvh9NeST9taW8vJz7778/bJ2SkhJKSkrC1tmzZw8FBQVh6/Tt25crrriC/fv3txmXiIhELjc/8PP+zZc+BCA1LYWx0y6d2e8MlCAlgJlFvMzl9xuptR7SMjwxSZCSadSoURf3Fg0fPhyA+vp6duzYwdKlSyNup7KykoqKCiZNmhS2XnuX2EKdPXuWAwcOsGDBgohjFBGRtoXuMbryxnwyvWlJiiY8JUhyidraWo4dO9asLDU1lby8vKja8Xq9LFmyhOLiYnJzcykoKGDFihXU1NREtXTl8/nweDxMmDAhbL32LrEVFxczf/58hg8fzpEjR/j2t7+Nx+PhzjvvjLotERFpXb/8LNJ7pVJ37gITZg/lxr8cleyQWqUESS6xceNG8vPzm5UVFhayb9++qNtavnw5fr+fBQsWUFVVxZQpU9i0aRP9+vWLuA2fz0dhYSGZmZlR9x+Jw4cPc+edd/LRRx8xYMAApk+fzquvvsqAAQPi0p+ISE+Vmubh9uJr8Tc4Bgzr3BfBKEGSZsrKyigrK2v1/a1bt0ZVnpmZycqVK1m5cmVU5zVVVFREUVFRm/Xaa926dV1+OVNEpKvoP6TzXMofjn4riIiIiIRQgiQiIiISQgmSiIiISAglSCIiIiIhlCDFUTyegyadg/5uRUS6NyVIcZCWFrjpVU1NTZIjkXipq6sDwOPpfLfHFxGRjtNl/nHg8Xjo27cvJ06cACArKwszi+hcv99PXV0d58+f16Xncdbesfb7/Zw8eZKsrCxSU/VPSESkO9JP9zgZPHgwwMUkKVLOOc6dO0evXr0iTqqkfToy1ikpKRQUFOjvSESkm1KCFCdmRn5+PgMHDqS+vj7i8+rr63n55ZeZOXPmxaU6iY+OjHV6erpm+EREujElSHHm8Xii2qfi8Xi4cOECmZmZSpDiTGMtIiKt0X+BRUREREIoQRIREREJoQRJREREJIT2IHVQZWVlTNurr6+npqaGyspK7YuJM411YmicE0PjnBga58SI5zhH+nvbdEfg9jGzy4DDyY5DRERE2mWoc+7D1t5UgtROFrgBzhCgCngNmNpK1ZbeCy1r+jqHQOI1NNh2IoSLP9bnR1I32vFsrbytskSPtcZZ4xzpexrn6OtqnGNzflv1YzXOLZUncpxzgCMuTBKkJbZ2Cg7qhwBm5nfOtThn19J7oWVNXze58WBVa23GWrj4Y31+JHWjHc/WytsqS/RYa5w1zpG+p3GOvq7GOTbnt1U/VuPcUnmCx7nNNrVJOzZ+HOV7oWXhzk+EjvYfzfmR1I12PFsrj7QsUTTOiaFxTgyNc2IkcpwjqR+rcW6pPNm/C5vRElsnY2a9gTNAn0TNIPVUGuvE0DgnhsY5MTTOidEZxlkzSJ1PLfCd4J8SXxrrxNA4J4bGOTE0zomR9HHWDJKIiIhICM0giYiIiIRQgiQiIiISQgmSiIiISAglSCIiIiIhlCCJiIiIhFCC1MWZ2TNm9rGZ/SLZsXQnZvY5M3vbzN41s68mO57uSt+/iWFmw8xsq5ntMbM3zOyLyY6pOzKzvmb2upmVm9lbZva1ZMfUnZlZlpl9YGbfj0v7usy/azOzWQSeKXOPc+4LyY2mezCzVGAPMJvAjcp2Ajc65z5KamDdkL5/E8PM8oFBzrlyMxtM4Hv6CudcdZJD61bMzANkOOdqzMwLvAVM0c+O+DCzfwNGA4ecc9+MdfuaQerinHNbSdxDbXuKqcBu59yHzrmzwPPALUmOqVvS929iOOeOOufKg18fA04BuUkNqhtyzjU452qCLzMACx4SY2Y2BriSwM/nuFCCFEdmNtPMfmNmR8zMmdltLdS518wqzOy8mW03s448tVmIybgPIfgg4qAPgcviHHaXo+/vxInlWJvZZMDjnDsU77i7mliMc3CZzUfgSfQPOOdOJSj8LiNG38/fB/5nPONUghRfXsAH3NvSm2b2JeAHBG6nfm2w7iYzG9ikTuNadugxJAHxd1UdHneJiMY5cWIy1maWC/wc+Hpco+26OjzOzrlPnHNXAyOBu8xsUNyj7no6NM5mdivwjnPunbhG6ZzTkYADcMBtIWXbgYeavE4hMFtxf5RtzwJ+kezP2BmP9ow7cCPwTJP3fwTclezP0pmPjnx/6/s3MWNNYMnnZWBBsj9DVzhi8TMb+AnwhWR/ls58tPNn9PeAQ0AFgeXiM8C3Yh2bZpCSxMzSgcnAC41lzjl/8PUNyYqru4tw3F8DxpvZZWaWDcwDNiU61q5M39+JE8lYm5kBZcCLzrn/SEKYXV6E4zzIzHKCX/cBZgJvJz7ariuScXbO/U/n3DDn3Ajgm8Bq59x3Yx1LaqwblIjlAR7geEj5cQIbzyJiZi8AVwNeMzsMfNE598eYRdn9tDnuzrkLZvZPwBYC/3NZ4XQVSrQi+v7W929MRDLW04AvAW802e+xwDn3ZkIi7B4iGefhwE+DCakBqzTGUYvJ78ZYUILUxTnnPp3sGLoj59yzwLPJjqO70/dvYjjnXkF7TuPOOfcacE2y4+hJnHNl8Wpb/2CS5xTQAIRu4BsEHEt8OD2Gxj0xNM6Jo7FODI1zYnSacVaClCTOuToCN2u7qbHMzFKCr7XEECca98TQOCeOxjoxNM6J0ZnGWUtscRTc4Du6SdFIM7sGOO2cO0jgMsa1ZvY6gY3BSwlc/vhogkPtVjTuiaFxThyNdWJonBOjy4xzsi/x684HgcuXXQtHWZM6RcAHQC2BSxuvT3bcXf3QuGucu9uhsdY4d6ejq4yznsUmIiIiEkJ7kERERERCKEESERERCaEESURERCSEEiQRERGREEqQREREREIoQRIREREJoQRJREREJIQSJBEREZEQSpBEREREQihBEhGJEzNLN7P9ZnZjnNrfamY/aue5eWZ2wsyGxjgskW5BCZKIRMTMyszMtXCMbvvsHmsx8L5z7g+J7NTMtpjZV8PVcc6dAn4OfCcxUYl0LUqQRCQaG4H8kOP90Epmlp7guDodMzMCD9xc00a9tBj3mwtMA34TQfVHgbuD54hIE0qQRCQatc65YyFHQ3Cp5yEz+5GZnQI2AZjZeDN73szOmtlxM/sPM8trbMzMvGb28+D7R83sn0KXjYKzVLc1DcLMPjGzhU1eDzOzp4Llp83s12Y2osn7ZWb2KzP7ZrCfj8zsx02TEzPLMLP/a2aHzKw2uDS2yAL2m9k3Q2K4po0ZtMnAKOC/mpwzInjOl8zsJTM7TyBB6W9m68zsQzOrMbM3zezOkP4uGatW+v0ssMs5d9zM+pnZf5rZSTM7Z2bvmtlXGis653YDR4C/bKUtkR5LCZKIxMo9QB2B2YvFZtYXeBH4EzAFmAsMAp5qcs4DwF8AtwK3ALOAa6PpNJjkbAKqgBnB/s8CG0NmsmYTSFhmB2NdGDwa/Ry4E/gGcBXwt8BZ55wDfgZ8hea+ArzsnNvfSmgzgHecc1UtvLcceDDYzyYgE9hJILkZD/wU+A8zm9rknEjHaj7w6+DX/wqMBeYF+1oCnAqp/1owVhFpIjXZAYhIl/I5Mzvb5PXzzrkvBr9+1zl3X+MbZva/gT8555Y1KfvvwCEzu4LAzMUi4MvOud8F378HOBxlTF8i8J+9rwaTGYKzJJ8QSCJ+G6z3MVDknGsA9pnZfwE3AauD8dwB3OyceyFY/70mfZQB3zWzqc6514JJ2V1As1mlEMODn7ElP3LO/TKk7PtNvl5lZnOCMb1mZtlEMFZmlkEgEf2XYFEBgb+D14OvK1qI5QgwKcznEOmRlCCJSDS2EJiFaFTd5OudIXWvBmaHJFSNRgG9gHRge2Ohc+60mb0dZUxXA6OBqsC2n4syg/002h1MjhodBSYEv74GaABeaqkD59yRYEL13wnMuHweyADWh4mrF3C+lfdeb/rCzDzAMgIJ0WUExiUDqAlWGUVkY/Up4ERw6QygFHjazK4lkCj+qoUN4+eArDCfQ6RHUoIkItGoDrOkVB3yOpvARuF/bqHuUQJJTSQcYCFlTTc2ZxNIzu5u4dyTTb6ub6Hdxm0G5yKI498JLHv9A4HltSedczVh6p/izwlYqNCxKgb+B7AUeDP4/o8IJEXRmA882/jCOfe8mQ0HPgPcDPzOzH7snGs685VL83ESEbQHSUTiZxcwDqhwzu0POaqBAwSSlusbTzCzfsAVIe2cJHC1XGOdMTSf8dgFjCEwcxLaz5kIY32TwM/DvwhT5zkCicsSAstYP2ujzT8BV1rItFYrpgG/ds495pzzEVjeazoObY5VsJ/P8+f9RwA4504659Y6575MIAH7ekjf44OxikgTSpBEJF5+TGB2Yp2ZXWdmo8xsjpk9amYe59xZApfAP2BmnzKz8QT2+vhD2nkRKDKzSWY2BXiY5rNB/0lgtubXZjbDzEaa2SwzW2kR3gTROVcBrAV+Zma3NWnjjiZ1GoLxfY/Afqs/ttHsFgKzW+MiCOFd4GYzu9HMrgIeIbChvbHvSMZqMoHE8ZXGAjP7rpndamajzWwc8Dlgb5P3s4Ln/RYRaUYJkojEhXPuCIGZEQ+BX8BvElg2+oQ//2IvBn5PYCnuBQK/3EP3Mv0TcChY73ECm5kvLm0Fl7lmAgeBXxJIANYQ2INUGUXIS4BfAD8B9gGrAW9InTUElr0ebasx59xHwDO0vPQX6v8QmAnbBGwFjgG/CqnT1ljdCjznnLvQpKyOQEL3BvAygX1Wfx1yzkHn3O8jiFGkR7HgRR8iIp2CmW0Fyp1zS5McyiXMbAbwO2CYc+54BPUnApuBUcFZoHjG9gbwf5xzT7VZ+c/nvAqsdM49Hr/IRLomzSCJiLQheBPJoQQun18fSXIE4Jx7g8Am9ZFxDK/xzuVPA89HcU4egRm3dfGKS6Qr0wySiHQqnXEGyQJ37V4DlAPznXMfJjUgEYk7JUgiIiIiIbTEJiIiIhJCCZKIiIhICCVIIiIiIiGUIImIiIiEUIIkIiIiEkIJkoiIiEgIJUgiIiIiIZQgiYiIiIT4/xPvjP+WHTDSAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "for rom in roms_inf:\n",
    "    err = fom - rom\n",
    "    err.transfer_function.mag_plot(w, ax=ax, label=f'Error $r = {rom.order}$')\n",
    "_ = ax.legend()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6040586f",
   "metadata": {},
   "source": [
    "To check the stability of the ROMs, we can plot their poles and compute the maximum real part."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "d08c954e",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Maximum real part: -9.324900122511472\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "markers = '.x+12'\n",
    "spectral_abscissas = []\n",
    "for rom, marker in zip(roms_inf, markers):\n",
    "    poles = rom.poles()\n",
    "    spectral_abscissas.append(poles.real.max())\n",
    "    ax.plot(poles.real, poles.imag, marker, label=f'ROM $r = {rom.order}$')\n",
    "_ = ax.legend()\n",
    "print(f'Maximum real part: {max(spectral_abscissas)}')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4b8cc459",
   "metadata": {},
   "source": [
    "We see that they are all asymptotically stable."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b737d2f0",
   "metadata": {},
   "source": [
    "## Interpolation at zero\n",
    "\n",
    "The next option is using inverse Krylov subspaces\n",
    "(more commonly called the Padé approximation).\n",
    "\n",
    "```{math}\n",
    "\\begin{align*}\n",
    "  V\n",
    "  & =\n",
    "  \\begin{bmatrix}\n",
    "    A^{-1} B & A^{-2} B & \\cdots & A^{-r} B\n",
    "  \\end{bmatrix}, \\\\\n",
    "  W\n",
    "  & =\n",
    "  \\begin{bmatrix}\n",
    "    A^{-T} C^T\n",
    "    & {\\left(A^{-T}\\right)}^{2} C^T\n",
    "    & \\cdots\n",
    "    & {\\left(A^{-T}\\right)}^{r} C^T\n",
    "  \\end{bmatrix}\n",
    "\\end{align*}\n",
    "```\n",
    "\n",
    "This will achieve interpolation of the first $2 r$ moments at zero of the\n",
    "transfer function.\n",
    "\n",
    "```{math}\n",
    "\\begin{align*}\n",
    "  H(s)\n",
    "  & = C {(s I - A)}^{-1} B + D \\\\\n",
    "  & = C {\\left(A \\left(s A^{-1} - I\\right)\\right)}^{-1} B + D \\\\\n",
    "  & = C {\\left(s A^{-1} - I\\right)}^{-1} A^{-1} B + D \\\\\n",
    "  & = -C {\\left(I - s A^{-1}\\right)}^{-1} A^{-1} B + D \\\\\n",
    "  & = -C\n",
    "    \\sum_{k = 0}^{\\infty} {\\left(s A^{-1} \\right)}^{k}\n",
    "    A^{-1} B + D \\\\\n",
    "  & = D - \\sum_{k = 0}^{\\infty} C A^{-(k + 1)} B s^k.\n",
    "\\end{align*}\n",
    "```\n",
    "\n",
    "The moments at zero are\n",
    "\n",
    "```{math}\n",
    "\\begin{align*}\n",
    "  M_0(0)\n",
    "  & = D - C A^{-1} B\n",
    "  = H(0), \\\\\n",
    "  M_k(0)\n",
    "  & = -C A^{-(k + 1)} B\n",
    "  = \\frac{1}{k!} H^{(k)}(0),\n",
    "  \\text{ for } k \\ge 1.\n",
    "\\end{align*}\n",
    "```\n",
    "\n",
    "We can again use the `arnoldi` function\n",
    "to compute {math}`V` and {math}`W`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "fc567c9c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "b4ce97a65ab04f32a497f96bf511d0c7",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Accordion(children=(HTML(value='', layout=Layout(height='16em', width='100%')),), titles=('Log Output',))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from pymor.operators.constructions import InverseOperator\n",
    "\n",
    "r_max = 5\n",
    "v0 = fom.A.apply_inverse(fom.B.as_range_array())\n",
    "V = arnoldi(InverseOperator(fom.A), InverseOperator(fom.E), v0, r_max)\n",
    "w0 = fom.A.apply_inverse_adjoint(fom.C.as_source_array())\n",
    "W = arnoldi(InverseOperator(fom.A.H), InverseOperator(fom.E.H), w0, r_max)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e712f149",
   "metadata": {},
   "source": [
    "Then, in the same way, compute the Petrov-Galerkin projection..."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "10eb68b3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "5a8290aa109b44b6904a2f11ab00e05e",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Accordion(children=(HTML(value='', layout=Layout(height='16em', width='100%')),), titles=('Log Output',))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pg = LTIPGReductor(fom, W, V)\n",
    "roms_zero = [pg.reduce(i + 1) for i in range(r_max)]"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ce696357",
   "metadata": {},
   "source": [
    "...and draw the Bode plot."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "2c39e24d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x800 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(2, 1, **bode_plot_opts)\n",
    "fom.transfer_function.bode_plot(w, ax=ax, label='FOM')\n",
    "for rom in roms_zero:\n",
    "    rom.transfer_function.bode_plot(w, ax=ax, label=f'ROM $r = {rom.order}$')\n",
    "_ = ax[0, 0].legend()\n",
    "_ = ax[1, 0].legend()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "238bd2c0",
   "metadata": {},
   "source": [
    "Now, because of interpolation at zero, we get good approximation for lower\n",
    "frequencies.\n",
    "The error plot shows this better."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "2665ec6e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "for rom in roms_zero:\n",
    "    err = fom - rom\n",
    "    err.transfer_function.mag_plot(w, ax=ax, label=f'Error $r = {rom.order}$')\n",
    "_ = ax.legend()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a3115fab",
   "metadata": {},
   "source": [
    "Checking stability using the poles of the ROMs."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "46b3046e",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Maximum real part: -1.000002636038773\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "spectral_abscissas = []\n",
    "for rom, marker in zip(roms_zero, markers):\n",
    "    poles = rom.poles()\n",
    "    spectral_abscissas.append(poles.real.max())\n",
    "    ax.plot(poles.real, poles.imag, marker, label=f'ROM $r = {rom.order}$')\n",
    "_ = ax.legend()\n",
    "print(f'Maximum real part: {max(spectral_abscissas)}')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7d1203d8",
   "metadata": {},
   "source": [
    "The ROMs are again all asymptotically stable."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8fa6b993",
   "metadata": {},
   "source": [
    "## Interpolation at an arbitrary finite point\n",
    "\n",
    "A more general approach is using rational Krylov subspaces\n",
    "(also known as the shifted Padé approximation).\n",
    "\n",
    "```{math}\n",
    "\\begin{align*}\n",
    "  V\n",
    "  & =\n",
    "  \\begin{bmatrix}\n",
    "    (\\sigma I - A)^{-1} B\n",
    "    & (\\sigma I - A)^{-2} B\n",
    "    & \\cdots\n",
    "    & (\\sigma I - A)^{-r} B\n",
    "  \\end{bmatrix}, \\\\\n",
    "  W\n",
    "  & =\n",
    "  \\begin{bmatrix}\n",
    "    (\\sigma I - A)^{-H} C^T\n",
    "    & {\\left((\\sigma I - A)^{-H}\\right)}^{2} C^T\n",
    "    & \\cdots\n",
    "    & {\\left((\\sigma I - A)^{-H}\\right)}^{r} C^T\n",
    "  \\end{bmatrix},\n",
    "\\end{align*}\n",
    "```\n",
    "\n",
    "for some $\\sigma \\in \\mathbb{C}$ that is not an eigenvalue of $A$.\n",
    "\n",
    "This will achieve interpolation of the first $2 r$ moments at {math}`\\sigma` of\n",
    "the transfer function.\n",
    "\n",
    "```{math}\n",
    "\\begin{align*}\n",
    "  H(s)\n",
    "  & = C {(s I - A)}^{-1} B + D \\\\\n",
    "  & = C {((s - \\sigma) I + \\sigma I - A)}^{-1} B + D \\\\\n",
    "  & = C\n",
    "    {\\left((\\sigma I - A)\n",
    "      \\left((s - \\sigma) (\\sigma I - A)^{-1} + I\\right)\\right)}^{-1}\n",
    "    B + D \\\\\n",
    "  & = C\n",
    "    {\\left((s - \\sigma) (\\sigma I - A)^{-1} + I\\right)}^{-1}\n",
    "    {(\\sigma I - A)}^{-1}\n",
    "    B + D \\\\\n",
    "  & = C\n",
    "    {\\left(I - (s - \\sigma) (A - \\sigma I)^{-1}\\right)}^{-1}\n",
    "    {(\\sigma I - A)}^{-1}\n",
    "    B + D \\\\\n",
    "  & = C\n",
    "    \\sum_{k = 0}^{\\infty} {\\left((s - \\sigma) (A - \\sigma I)^{-1} \\right)}^{k}\n",
    "    {(\\sigma I - A)}^{-1}\n",
    "    B + D \\\\\n",
    "  & = D - \\sum_{k = 0}^{\\infty} C (A - \\sigma I)^{-(k + 1)} B (s - \\sigma)^{k}.\n",
    "\\end{align*}\n",
    "```\n",
    "\n",
    "The moments at {math}`\\sigma` are\n",
    "\n",
    "```{math}\n",
    "\\begin{align*}\n",
    "  M_0(\\sigma)\n",
    "  & = C {(\\sigma I - A)}^{-1} B + D\n",
    "  = H(\\sigma), \\\\\n",
    "  M_k(\\sigma)\n",
    "  & = -C {(A - \\sigma I)}^{-(k + 1)} B\n",
    "  = \\frac{1}{k!} H^{(k)}(\\sigma),\n",
    "  \\text{ for } k \\ge 1.\n",
    "\\end{align*}\n",
    "```\n",
    "\n",
    "To preserve realness in the ROMs,\n",
    "we interpolate at a conjugate pair of points ($\\pm 200 i$)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "1655e9a2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "c30c9ee6776c403fbee834c516a1c67c",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Accordion(children=(HTML(value='', layout=Layout(height='16em', width='100%')),), titles=('Log Output',))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from pymor.algorithms.gram_schmidt import gram_schmidt\n",
    "\n",
    "s = 200j\n",
    "r_max = 5\n",
    "v0 = (s * fom.E - fom.A).apply_inverse(fom.B.as_range_array())\n",
    "V_complex = arnoldi(InverseOperator(s * fom.E - fom.A), InverseOperator(fom.E), v0, r_max)\n",
    "V = fom.A.source.empty(reserve=2 * r_max)\n",
    "for v1, v2 in zip(V_complex.real, V_complex.imag):\n",
    "    V.append(v1)\n",
    "    V.append(v2)\n",
    "_ = gram_schmidt(V, atol=0, rtol=0, copy=False)\n",
    "w0 = (s * fom.E - fom.A).apply_inverse_adjoint(fom.C.as_source_array())\n",
    "W_complex = arnoldi(InverseOperator(s * fom.E.H - fom.A.H), InverseOperator(fom.E), w0, r_max)\n",
    "W = fom.A.source.empty(reserve=2 * r_max)\n",
    "for w1, w2 in zip(W_complex.real, W_complex.imag):\n",
    "    W.append(w1)\n",
    "    W.append(w2)\n",
    "_ = gram_schmidt(W, atol=0, rtol=0, copy=False)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4faf7b52",
   "metadata": {},
   "source": [
    "We perform a Petrov-Galerkin projection."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "4ac4b5e0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "69038ef2a0ed423fae7e42cbe6655661",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Accordion(children=(HTML(value='', layout=Layout(height='16em', width='100%')),), titles=('Log Output',))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pg = LTIPGReductor(fom, W, V)\n",
    "roms_sigma = [pg.reduce(2 * (i + 1)) for i in range(r_max)]"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0eda570a",
   "metadata": {},
   "source": [
    "Then draw the Bode plots."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "f2f5d8c2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x800 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(2, 1, **bode_plot_opts)\n",
    "fom.transfer_function.bode_plot(w, ax=ax, label='FOM')\n",
    "for rom in roms_sigma:\n",
    "    rom.transfer_function.bode_plot(w, ax=ax, label=f'ROM $r = {rom.order}$')\n",
    "_ = ax[0, 0].legend()\n",
    "_ = ax[1, 0].legend()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "39c758f7",
   "metadata": {},
   "source": [
    "The ROMs are now more accurate around the interpolated frequency, which the error plot also shows."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "3057adf3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "for rom in roms_sigma:\n",
    "    err = fom - rom\n",
    "    err.transfer_function.mag_plot(w, ax=ax, label=f'Error $r = {rom.order}$')\n",
    "_ = ax.legend()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "378f2aa3",
   "metadata": {},
   "source": [
    "The poles of the ROMs are as follows."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "e8a0528c",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Maximum real part: 633.2912934294059\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "spectral_abscissas = []\n",
    "for rom, marker in zip(roms_sigma, markers):\n",
    "    poles = rom.poles()\n",
    "    spectral_abscissas.append(poles.real.max())\n",
    "    ax.plot(poles.real, poles.imag, marker, label=f'ROM $r = {rom.order}$')\n",
    "_ = ax.legend()\n",
    "print(f'Maximum real part: {max(spectral_abscissas)}')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7abee3ad",
   "metadata": {},
   "source": [
    "We observe that some of the ROMs are unstable.\n",
    "In particular, interpolation does not necessarily preserve stability,\n",
    "just as Petrov-Galerkin projection in general.\n",
    "A common approach then is using a Galerkin projection with $W = V$ if $A + A^T$\n",
    "is negative definite.\n",
    "This preserves stability, but reduces the number of interpolated moments from\n",
    "$2 r$ to $r$."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "03b7fc44",
   "metadata": {},
   "source": [
    "## Interpolation at multiple points\n",
    "\n",
    "To achieve good approximation over a larger frequency range,\n",
    "instead of local approximation given by higher-order interpolation at a single point,\n",
    "one idea is to do interpolation at multiple points (sometimes called *multipoint Padé*),\n",
    "whether of lower or higher-order.\n",
    "pyMOR implements bitangential Hermite interpolation (BHI) for different types of `Models`,\n",
    "i.e., methods to construct a reduced-order transfer function $\\widehat{H}$ such that\n",
    "\n",
    "```{math}\n",
    "\\begin{align*}\n",
    "  H(\\sigma_i) b_i & = \\widehat{H}(\\sigma_i) b_i, \\\\\n",
    "  c_i^H H(\\sigma_i) & = c_i^H \\widehat{H}(\\sigma_i), \\\\\n",
    "  c_i^H H'(\\sigma_i) b_i & = c_i^H \\widehat{H}'(\\sigma_i) b_i,\n",
    "\\end{align*}\n",
    "```\n",
    "\n",
    "for given interpolation points $\\sigma_i$,\n",
    "right tangential directions $b_i$, and\n",
    "left tangential directions $c_i$,\n",
    "$i = 1, \\ldots, r$.\n",
    "Such interpolation is relevant for systems with multiple inputs and outputs,\n",
    "where interpolation of matrices\n",
    "\n",
    "```{math}\n",
    "\\begin{align*}\n",
    "  H(\\sigma_i) & = \\widehat{H}(\\sigma_i), \\\\\n",
    "  H'(\\sigma_i) & = \\widehat{H}'(\\sigma_i),\n",
    "\\end{align*}\n",
    "```\n",
    "\n",
    "may be too restrictive.\n",
    "Here we focus on single-input single-output systems,\n",
    "where tangential and matrix interpolation are the same.\n",
    "\n",
    "Bitangential Hermite interpolation is also relevant for $\\mathcal{H}_2$-optimal\n",
    "model order reduction and methods such as IRKA (iterative rational Krylov\n",
    "algorithm), but we don't discuss them in this tutorial.\n",
    "\n",
    "Interpolation at multiple points can be achieved by concatenating different $V$\n",
    "and $W$ matrices discussed above.\n",
    "In pyMOR, `LTIBHIReductor` can be used\n",
    "directly to perform bitangential Hermite interpolation."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "e57efc3c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "bdf44d9db0824640b5fac31e00ad3c5e",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Accordion(children=(HTML(value='', layout=Layout(height='16em', width='100%')),), titles=('Log Output',))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "from pymor.reductors.interpolation import LTIBHIReductor\n",
    "\n",
    "bhi = LTIBHIReductor(fom)\n",
    "freq = np.array([0.5, 5, 50, 500, 5000])\n",
    "sigma = np.concatenate([1j * freq, -1j * freq])\n",
    "b = np.ones((10, 1))\n",
    "c = np.ones((10, 1))\n",
    "rom_bhi = bhi.reduce(sigma, b, c)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "72746b2c",
   "metadata": {},
   "source": [
    "We can compare the Bode plots."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "2e99f49a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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fHSVi4jEJWBF8QCD5WgHcDaC1fg24Jfh6JTAeOFNr3XJQf4doredprUcDrU4gK4QQPYWJhlAzZTYV6vUn7xxWnfHYY4/R2NjIrFmz+PTTT9m5cycffPABM2fOpH///tx7772tfi4vL4+9e/eycOFCi2vcvSVcMqa1XqS1Vq08Zkfs85jWulhrnaK1nqK1/tJglYUQolsx0SktHeHdy4gRI1i2bBlDhw7lkksuYdiwYVxzzTWcdtppLF68uNkcYy3l5uaSkZFhYW27v4TrphTJw+128+ijjwJwww03JP2YAavJ+TdPYmCdtsaiJ3MMnn/++XbfLy4uPuI+AIsWLWr3/ZUrV7b7vt/vZ//+/QAUFBQYHUNniiRjwqhoJ8QT8SHn3zwTMTAygN9w16i/nTsD5TowL1nXpAxJvvRTCCFE0mkvGRPCNEnGgpRSc5VSawncoSmEECKGTE+fIqmYSGSSjAXJ3ZRCCNFz6eTuBRMJTpIxIYRIMh2dWT0WItvFTJSvpW1MJDBJxoQQIon5Dcy/5bOozMgEUKYZE4lM7qYUxiilKCoqCj8X1pLzb14ixMDj16RYUE7kz+fT2vIvn7YG8CdCDIR1i8cnKknGhDFOp5Orr77adDWSlpx/80zFIDIt8Vk0pUCzaSYsGr8V2RrWVs+oXAfm2Wy2Vte5TCbSTSmEEEnM6zPQTWnZmLGmckyMUxMiWpKMBcnUFkKIZBGZl3gMjN+yasxYs5YxS0oUonMkGQuSqS2s5/F4eOSRR3jkkUfweDymq5N05PybZyoGkcmQVYlRJKtuGohMOtsaM5bs18Hs2bNRSqGUwul0MmTIEG677TYaGhqa7bdz507mzJlDUVERLpeL4uJibrjhBsrLy1s93rXXXntYWXPnzkUpxezZs5tt9/v9lJaWUlpaGteZ+D/99FPOO+88ioqKUErx1ltvtbrfvHnzGDx4MKmpqUyZMoWlS+PfRiPJmDBGa01lZSWVlZXShWCAnH/zTMXA42v6wvP6rJ+Ay6puyshz2lb+J9cBnHnmmezdu5etW7fy8MMP89RTT3HXXXeF39+6dSuTJk1i06ZNvPLKK2zevJknn3yShQsXMm3aNCoqKpodb+DAgbz66qvU19eHtzU0NPDyyy8zaNCgVuvg8/nw+Xytvuf1emPwU0JtbS3jxo1j3rx5be7z2muvcfPNN3PXXXfx9ddfM27cOGbNmhVeOzNeJBkTQogk443ITKzqpowsxqqWseYD+C1MtLQGd+2RH5666PbryKMTP2dKSgp9+/Zl4MCBXHDBBcyYMYOPPvoo/P7cuXNxuVx8+OGHnHLKKQwaNIizzjqLBQsWsHv3bn7xi180O97EiRMZOHAgb775Znjbm2++yaBBg5gwYUK7dSkpKUEpxeuvv87JJ59MSkoK77zzTod/ptacddZZ3HPPPVx44YVt7vPQQw9x9dVXc9VVVzF69GiefPJJ0tPTefbZZ2NSh7bI3ZRCCJFEtNbNuyktGsAf2U1oWctYswH8lhQZ4KmD+4ra3cUG5Maj7Dv3gCuj0x//9ttv+eKLLyguLgagoqKC+fPnc++995KWltZs3759+3LFFVfw2muv8fjjjzebGmTOnDk899xzXHHFFQA8++yzXHXVVSxatKjd8letWgXA73//e+677z6GDBly2J2W9913H/fdd1+7x1m7dm2brXBtcbvdLF++nDvuuCO8zWazMWPGDBYvXtyhY3WUJGNCCJFEPC2SL69F80z4TYxTi2LMmIB3332XzMxMvF4vjY2N2Gw2HnvsMQA2bdqE1ppRo0a1+tlRo0Zx8OBBysrKKCgoCG//4Q9/yB133MH27dsB+Pzzz3n11VejSsYyMjL461//yuDBg1vd59prr+WSSy5p9zihueM64sCBA/h8PgoLC5ttLywsZP369R0+XkdIMiaEEEmkZfLVMjmLl+bdlJYUGdU8Y3HhTA+0ULXD7/dTVV1NdlYWNlsMRww50zv8kdNOO40nnniC2tpaHn74YRwOBxdddFGzfTrazdunTx/OOeccnn/+ebTWnHPOOfTu3fuIn1u1ahXnn39+m4kYQK9evejVq1eH6pPoZMxYkExtIYRIBt4WrVLWTTNhtpvS0pYxpQJdhUd6ONOj268jj06sIpCRkcHw4cMZN24czz77LF9++SV/+tOfABg+fDhKKdatW9fqZ9etW0deXl6rk7bOmTOH559/nhdeeIE5c+ZEVZdVq1Zx6qmntrvPfffdR2ZmZruPHTt2RFVepN69e2O32yktLW22vbS0lL59+3b4eB0hLWNBWut5wDylVDZQabo+yUApFb6AZRkS68n5N89EDFpO8toyOYuXZsmYgakt2ipRroPmbDYbd955JzfffDOXX345+fn5zJw5k8cff5ybbrqp2bixffv28dJLL3HllVe2eu7OPPNM3G43SilmzZrVbrkOh4Pq6mpKSkqOOMg/Xt2ULpeL4447joULF3LBBRcAgRbMhQsXcv3113f4eB0hyZgwxul0ct1115muRtKS82+eiRi0nMrCqjFjkQmYVa1UkeW01c0m18HhLr74Ym699VbmzZvHLbfcwmOPPcYJJ5zArFmzuOeeexgyZAhr1qzh1ltvpX///tx7772tHsdut4db1Ox2e5vl2Ww2CgoK2LBhA3a7nbFjx7Zbv852U9bU1LB58+bw65KSElavXs3AgQPD3aI333wzP/7xj5k0aRKTJ0/mkUceoba2lquuuqrD5XWEdFMKIUQSaTmVhVXLIUUWa1nLWBvli/Y5HA6uv/56fve731FbW8uIESNYtmwZQ4cO5ZJLLmHYsGFcc801nHbaaSxevLjdxCg7O5vs7Oyoyl21ahVHHXUUqampsfpRmlm2bBkTJkwIt7z9/Oc/Z/r06c3mVLv00kt58MEH+dWvfsX48eNZuXIlH3zwwWGD+mNNWsaEECKJHN4yZlEyZuBuSt2sZcySIrud559/vtXtt99+O7fffnv4dXFxcZv7RnO8kLZmvQe4/vrr49odeOqppzafCNjvp6qq6rBkMd71aI0kY8IYj8fDM888A8DVV1+N0+k0XKPkIuffPBMxOHxqC+u7DK3qpox2OSS5Dszy+/0cOHAACAyij+ndpd2EJGPCGK01ZWVl4efCWnL+zTMRg5ZjxKxaDslnegB/O8shyXVgXqyWPOquki/9FEKIJHbY3ZQWjRmLppUq1ky0xgnRGZKMCSFEEvGYGjPWrGXMkiKbDeCXXEwkMknGgmTSVyFEMmiZfLVMzuLFZ2QAf8TzNmcai1VZku0lq1jEXpKxIK31PK31aGCy6boIIUS8tEy+3BYlY5HfVybupoxXkaEB/3V1dfEpQCS8UOy7cvOHDOAXQogk0nKMmNtroGXMsuWQIp7HqUy73U5ubi779+8HID09PaqZ/P1+P263m4aGhqS8ezCS3+8PD+C38nx0NQZaa+rq6ti/fz+5ubntTmx7JJKMCWOUUuTk5ISfC2vJ+TfPRAzMLRQeOb+TiZsGWt8nFjEIrVsYSsiiq5umvr6etLS0pL/+tNZUV1cDgVnyrTofsYpBbm5ul9eulGRMGON0OrnxxhtNVyNpyfk3z0QMWiZfVrWMmVibMtrlkLoaA6UU/fr1o6CgAI/HE9VnPB4Pn376KdOnT5e5zQyJRQycTmeXWsRCJBkTQogkclg3pUVjxpoth2Sim9KC8ux2e9RfzHa7Ha/XS2pqqiRjhiRSDJK7o1oIIZJMy25KEy1j1nVTWl+mEJ0hLWPCGI/HE17HbPbs2cb/Z5Js5PybZyIGh3VTmpjawshySK3vI9eBeRIDScaEQVpr9uzZE34urCXn3zwTMWi5/JFVLWNGpraI6Jxsa54xuQ7MkxhIN6UQQiQVz2GTvlrz5ReZgFm2HFJEnpmk3/Gim5BkTAghkojHa6ZlrPlC4ZYUKcshiW5DkjEhhEgiLceIWXY3pd/wAH7JxkQCk2QsSNamFEIkg1DLmC04x6VVLWNe4wP4JRkTiUuSsSBZm1IIkQxCLWEZKY5mr+PNxKSvzQfwC5G45G5KYVR6errpKiQ1Of/mWR2DcDLmslPd4LWuZcxnfZdhZDHt3aUn14F5yR4DScaEMS6Xi1tvvdV0NZKWnH/zTMQglHwFWsYa8fTgljF/s2Ss9X3kOjBPYiDdlEIIkVRCyVemxd2UzSZ9NdBNKRPwi0QmyZgQQiSRUMtYOBmzamoLA/OMyQB+0V1IN6UwxuPx8NJLLwFwxRVXJOUSGCbJ+TfPRAxCk7xmpAQWtHZ7LZr01cQ8YxFltpWLyXVgnsRAkjFhkNaa7du3h58La8n5N89EDJqPGTPTTWlZy1jk8zbKlOvAPImBdFMKIURSaQx1U7pCLWM9d8xYs4lmk/M7XnQTkowJIUQSaTmA36q7Kc0M4I98LtmYSFySjAkhRBJJqm7KZgP4LSlSiE6RZEwIIZJIU8uYxd2URuYZixzAL9mYSFySjAkhRBJpuRySX4PXgtYxn4G1KSNJLiYSmdxNKYxKxluYE4mcf/OsjkGoJSw9OIAfAgmawx7f/5s3S8Z8Jrop2y5TrgPzkj0GkowFKaXmAnOR1kLLuFwu7rzzTtPVSFpy/s0zEYPQ3ZTZqU1ffm6vn3RXfMs10TLmj2KeMbkOzJMYSOIRprWep7UeDUw2XRchhIiXBo8PCEz6qoJ3GFoxiL/ZAH4Dd1PKDPwikUkyJoQQSSSUjKU67ThUYJsVg/ibDeA3cDelpGIikUk3pTDG6/Xy+uuvA3DJJZfgcMivo5Xk/JtnIgb14WTMhsMGHl/8kzG/XzdLjKxaDimauynlOjBPYiDJmDDI7/ezadOm8HNhLTn/5lkdA601DZ5AOakOO3Yb4It/N2XLljAr7t5sqa2eUbkOzJMYSDelEEIkjcaIFjAruylbzitm1az/kWPTZMiYSGSSjAkhRJJo9EQmYzZcwW+ABo+1yZhVs/7LAH7RXUgyJoQQSSI0XsxuUzjtNkJTjdW5vXEtt2U3pVWz/ssAftFdSDImhBBJInQnZZozkIU5bc23x0vLqSzcFk36GtkaZtV0GkJ0hiRjQgiRJBq8TXdSArhsgQSlPs7JmLdlMuaNb3kh0k0pugtJxoQQIknUuwNJUIoj0DIWGjNW747/1BaRrOqmxMDi5EJ0hkxtIYxxuVzcddddpquRtOT8m2d1DMLTWgRbxkLdlPFuGWs5ZsxjUTdlZLktW+dC5DowT2IgLWNCCJE0Qt2UacGR+6EB/PEeM+b1mWkZi8y/pGVMJDJJxoQQIkk0hmbfP6ybMs4D+FveTWnVPGORLWMWtcYJ0RnSTSmM8Xq9/P3vfwfgwgsvTMolMEyS82+e1TGoj1iXEqzrpjx8AL/1k7762pjZXa4D8yQG0jImDPL7/axdu5a1a9cm7RIYJsn5N8/qGDSNGQu1jAWSlbp4t4wZmvQ1sti2xozJdWCexECSMSGESBoNnuZTW6RYNOlrywH71o0Zk7spRfcgyZgQQiSJlt2UqcFkrLoh3smYv93X8aJlAL/oJiQZE0KIJNFyaou04NCc6gZPXMsNJV+hcq1qGYtMwNrqphQiEUgyJoQQSaKxxXJIoZaxqvr4toyFxohluALZn9evLVmeSLopRXchyViQUmquUmotsNR0XYQQIh4aWnRTpjkCCUr8W8YC5WSkNN0lZ8Ug/mgG8AuRCCQZC9Jaz9NajwYmm66LEELEQ8sxY2lWjRkLdktanoxFMbWFEIkg+SbzEAnD6XRyxx13hJ8La8n5N8/qGITGjKU4Av8PDw/gb/Ti82vsNhWXckNjxtJDU/7TlKDFkz+K5ZDkOjBPYiDJmDBIKYXL5TJdjaQl5988q2MQmk8sPTh2Ky3iG6Cm0UtOWny+CEOtYCkOG067wuPTlndTtjVmTK4D8yQG0k0phBBJo6YxMDYsMzWQhTlt4Aq2ksVz3FhozJjTbsNlt+6OSh1Fy5gQiUBaxoQxXq+Xd999F4Bzzz03KZfAMEnOv3lWx6C2MdAylpnS1F2YleKg3OsO3FGZF59yQ92UTrsNp8MGbp8lc435Iu+mbGNtSrkOzJMYSMuYMMjv97Nq1SpWrVqVtEtgmCTn3zyrY1DbGBion5nS1B2ZHWwli2/LWOBnczlUuGWs0ZIxY03P21sOSa4DsyQGkowJIUTSqA4mYxmRLWPhZCx+d1SGuiSddlu4W9SKbsrm84wl55e86B4kGRNCiCTR1DLW1A0UGj9WZdWYMYeFLWMyA7/oJiQZE0KIJODz6/DdlJHJWHZqoMsyni1jkWPGQtNb1AfrEk8yA7/oLiQZE0KIJFDrbkq2IidfzbJyzJhdhafVqLMkGWt6Li1jIpFJMiaEEEkg1EXpsKnwpK8QuJsSoCqeY8ZaaRmLTA7jxu/lDdevedF5H35f/JM/ITor+e4fFUKIJBQeL5bqQKmmmfYtaRnzBseMOWzhxcKt6KbM9hxgkm0jAO+4NwAnxb1MITpDkjFhjNPp5JZbbgk/F9aS82+elTEIjQkLJUMhWanxbxmLHDOWZmHLWIqvLvx8uHtDq/vIdWCexECSMWGQUoqMjAzT1Uhacv7NszIGoQlfQ8lXiBVTW0SOGcuwcAC/w98Qfu7y17e6j1wH5kkMZMyYEEIkhZrwHGPNk7HQ3ZRV9fHrpnQ3axkLlB9KDuNJ+RrDz1N0Qzt7CmGWtIwJY7xeL/Pnzwdg1qxZSbkEhkly/s2zMgZtJWPW3E3ZNM9YeGoLT/y7KR1+d/i5s42WMbkOzJMYSMuYMMjv97Ns2TKWLVuWtEtgmCTn3zwrYxAawJ/VIhkLzTkW127K0Az8joi7KS1oGbNFJGMuf+stY3IdmCcxkJYxIYRICjUtl0LSmpy6bQzcsJFC+lLZ0DtuZUeOGbMr6+YZa56Mtd4yJkQikGRMCCGSQKjlKzPFCZ567C9dxKnbPwfgaddQLnTfjcfnx2mPfYdJ5JixVGdgWg0ruintuqnrta2WMSESgXRTCiFEEqisD7QS5aY7Ye072LZ/jk850c50xtm2cqn947h1VTab2sJpXTel3dfUMpYqA/hFApNkTAghkkBl8G7J3HQnrHgRgI19z8N/yu0A/Nj+IVV17jY/3xWRA/hDNxBYMrWFjkjGaJT1KUXCkmRMCCGSwKG6QDLWx1YNJf8GYGevk/CPu4J6UjjathPf9iVxKTs8ZsyhLJ301e5v6qZMp5FGryyJJBKTJGNCCJEEQi1jgyqXARpdMIZ6V29IzeEz5wkApG16Jy5lu72Hr01pdctYGo00epLzTj2R+GQAvzDG6XRyww03hJ8La8n5N8/KGIRbxg6tAsA/6AQI5kPLM6ZzxqGPydsxH/x+sMX2/+mRY8ZCyzFZ0jIWMYA/XTXS6D08GZPrwDyJgSRjwiClFLm5uaarkbTk/JtnZQxCM+xnV3wDgC6aADsD7+3Km0r1wTSy6vfB7uUw8PiYlh0aM+ZyNK1N2eDx4/Nr7DbV3ke7xBHRTZlGIxWtdFPKdWCexEC6KYUQosfz+vxUN3px4CXlwBoAdNHE8Pu52Vn8yz8h8GLd2zEvv2meMVuzhcrrPfHtqnTQ1E2ZTgMNFnSNCtEZkowJY3w+Hx9++CEffvghPp/8kbSanH/zrIpBVXDKiqPULpS3AVJzoNfQ8Pu9M1N43zc58GLt26Bje9ehp9k8Y7Zwa1g8l2ACcEZ0U9qVxt1Yd9g+ch2YJzGQZEwY5PP5WLx4MYsXL07aC9AkOf/mWRWDQ8EpKyanlAQ2FE0A1fTnv3dWCov843CrFDi0A/Z9E9PymwbwK5RS5KQFxgVVxnFxcmg+gB/A01B72D5yHZgnMeihyZhS6u9KqYNKqTdM10UIIUwLJT0T7VsDG/of1+z9PpkuGkhhhTPYdbnu3ZiWHznPGEBuKBmrs65lDMDXSjImRCLokckY8ChwpelKCCFEIjgUTMZGqh2BDX2PbfZ+fmYKAAsIdlWu/2dMy2+aZyzwlZOT7mxWr3hxtEjGPA3VcS1PiM7qkcmY1noRIFedEEIQ6qbUDPIFb58sGNXs/d7BZOzdhmNB2WH/GqjYGpOy/X6N12+oZYzmx/dLy5hIUAmXjCmlpiul/qGU2qOU0kqpC1rZZ65SqkQp1aCU+lIpNdlAVYUQolsor3FTRDlpuh5szmaD9wF6Z7oA2OtOw1d8YmBjjLoqPf6mub2c9sDA/dCYsUP18Vl+KcTVMhlz18S1PCE6KxHnGcsAVgHPAm+2fFMpdSnwEHAt8CVwIzBfKXWU1np/RwtTSqUAKRGbsgA8Hg8eT+z/1xY6ZjyO3d1EngOPx4NS8ZtvqLVykz0Gps5/ZNkSA2ticKC6gZG2XQDo/GF4/c1jkOJwkOKw0ej1UzFwJn1KPsW/7h/4Jv+sy2XXNTZN7qr8PjweyEoNfPUcrGmM2++A369xteim9NZXH1ae/B0yryfHINpjJ1wyprV+H3gfaCsgNwPPaK2fC+5zLXAOMAd4oBNF3gHc1XLjhx9+SHp6eicOF52PPvoobsfuLiLvmpk/fz52u93S8pM9BqbPP0gMrIrByi02xqpAMrbHk82y994LvxeKQabdTqNX8fcdWVwDqF1fsfDtl2l05nap7FoPhL5qPvpwPjYFZbtsgI1vNmzhPc+mLh2/LT4/DFLNZ/nfuXUj70X87GD+Okj2awB6dgzq6g6fTqU1CZeMtUcp5QKOA+4PbdNa+5VSC4BpnTzs/QRa2kKygF1nnHEG2dnZna5rWzweDx999BEzZ85M2mUfQrTWTJ06FYDevXtb+r8hiYG58w8SgxCrYvD2X1YwsiKQjPU99jTOPvnsw2Lwl71fUV5ykD7Hno7fMxHbnq+ZOdCNf+LZXSp7f3UjLPsEu01x7jmBY5Ut3s4HuzaQ06cfZ589rss/X2saPD62rWj+/+wBhXlMP7v5zyN/h8zryTGoqqqKar9ulYwBvQE7UNpieylwdOhFMDkbB2QopXYBF2utF7d2QK11I9AY8VkgsD5WPC+QeB+/uygqKjJWtsTA7PkHiQFYE4OKOg8jbLsBsBeOxh5xzkMxKMpNAw5SVuvBNuo82PM19o3vY59ydZfK1irQTeO0q3Cse2WmAlDV4Itb/N1+hYtAy1idLYt0fzU2b0Or5cnfIfN6agyiPW7CDeCPBa31DK11H611utZ6QFuJmBBCJIPymgaGq0Ay1vJOypC+2YEEaV9lIxx9bmDjtk+hobJLZbecYwwgNz3+k756/ZqU4HJIdcGuVuWRuylFYupuydgBwAcUttheCOyzvjqiK3w+H4sWLWLRokVJO+uySXL+zbMqBim1e8hUDehW7qQM6ZsTTMaq6qHPSOg9Evwe2PBBl8qOXJcyJCctcPdmPO+m9Pk1ruCYsUZnDgA2T+vLIcl1YJbEoJslY1prN7AcOD20TSllC76W1q9uxufz8cknn/DJJ58k7QVokpx/86yIQb3bxwBvYLJXf69hYG+926RfMBnbW9kQ2DDme4F/V7/epfKblkJq+rrJC7aMVdTENxlLCU5t4Q4lY976w/eT68A4iUECJmNKqUyl1Hil1PjgpiHB14OCrx8CrlZK/VgpNQp4gsB0GM91sdy5Sqm1wNKuHEcIIRJJeW0jI4J3UtoKW++iBCgMd1MGk7FjLwn8u+VfUN1ymG703MGWMYe9aVB2n6zAbEK1bh+1jd5WP9dVPr8OzzPmduUCYPdFd2ebEFZLuGQMmASsCD4gkHytAO4G0Fq/BtwSfL0SGA+cqbXu/F+LwHHnaa1HAzKBrBCixzhQ42ZkMBlTfdpOxvrlpAGBux+9Pj/kD4MBx4P2w7d/63T5jZ5AMpbqbJquIDPFQVrwdVl1Y6uf6yqv3x9uGfOmBFrG7K20jAmRCBIuGdNaL9Jaq1YesyP2eUxrXay1TtFaT9Faf2mwykIIkbD2VTYwIjjhKwVHt7lfQVYKLocNn1+z51CodezSwL/fvNrp8hu8gW6nVGfT141SKtw6VlYTn2TM79OkBMeM+VLyAHBKy5hIUAmXjAkhhIid/VX1jAjdSdmn7WTMZlMM6hWY6Hp7RfCuwzHfA5sD9q6Cfas7VX6oZSzF0Xwiz4JgMra/Kk4tY96GphcZfQBweuVuSpGYJBkTQogerP5ACRmqEa9ytHknZUg4GSsPtiBl5DdNc7Gsc8NyG1tpGQMoyA4mY9UNh30mFrS76bj2rAIAUnyyNqVITJKMBckAfiFET2Qr2wBAZXpxm3dShoSSsR0VEd15k64K/PvN69DY8WSmwRNMxlq0jPXJDHZTxmnMmM/bdFxXdiAZS/dLMiYSU8xn4FdKpWqt4/NfnTjSWs8D5imlsoGuzXIoouJwOPjpT38afi6sJeffPCtikFm1GYC6nBHkH2Hf4vxQy1hEd97g6dBrGFRsgW/fgONmd6j8xuDUFimHtYwF7t7cH6dkTHsCX0ONOEnNCowZS9eHjxmT68A8iUGMkrHgXF+/AK4FCpVSI7XWW5VSvwVKtNZ/ikU53V3pri1sW/wWnt17WP5OCTa7HZQdZVOAHZQCmw2lAg9Cj8htoee2wEK7yhb4nFIq+DzwXujzdrsdm82Ow27H7rBjt9mwOxw4bDbsDlfg4XRhdzpxOlOwO1PAZs0irTabjf79+1tSljicnH/zrIhBr7qtAPh7tz1eLKQpGYtIWmy2QAL20f/Al0/DxB8H/lZF6UgtY/FKxvyewHE9OEnP6gVApq7D7/Nji5jzTK4D8yQGsWsZ+yXwY+A24JmI7d8CNwKSjAGlm1Ywdc3dgReHjFalXX6t8GIPPJQDDw58wede5cSjXHiVC6/Nhc+Wgs/mwm9z4XOko53p+J3p4MpAuTKxpWRgS83EkZqFIzUDV1o2KelZpKRnkZaRTXpWLk5XiukfWYgeq8hTAoCrb9vTWoQM6pUBwM6KOrTWTQs2T/ghLHoA9q+BrR/DsO9EXX6Dp/WWsfCM/5XxmW7CH2wZc+MkIyd4N6XyUVlbTU52TlzKFKKzYpWMXQlco7VeqJR6MmL7KiIW8E52aXmFrEibhruxgVSXE4VG4Udpf8TzwL9ojS3itUIDutm+toj3ml4Hn7c4XuRrG4FjO/DiUofPdmxTGhfe4CK7Ef9r1cFHjPiwsYSJuLWT4bZtNNoyqHdk43bl4nXl4E/NQ6XnYc/Ix5mZT2pWPmm5BWTm9iavd79Ay6LoNJ/Px5IlSwCYOnUqdjmflot3DOobPQzVu0BB5qBjj7j/wF5pKBWYjLW81k3vYOsV6b0CCdnSp+CLxzqUjIUG8Le8m3JAXmBes10H65snfrHiC7aMKSep6Tn4tMKuNDWVFc2SMbkOzJMYxC4Z6w9sbmW7DZDl6INGjD8Zz5h/8N5773H22WfHbZX4aGmt8fj8eL1evJ5GvB4PPq878PAE/vWHnwfe83sa8bnr8Xka8bkb8Hvq0Z7gv+46cNeiPLXYPHXYvXXYffU4vXU4/fW4/PWk+htIpZ403YhSmgVqOig4UX+Fy7cvsPJoFL0WHm2nTOVS6cinNqUP7rRCdGY/bDn9SOvVn6w+A+lVWExWXu9gl65oyefzsWDBAgCOP/74pPwDaFq8Y1C6cyODVSNu7SCr34gj7p/isNMvO5U9lQ1sL69rSsYApv4MvnoGtiyEfd9C32OiqkNDK5O+AhTlBpKxOrePg3UeemW4ovypoqOD3ZRe5QSbjWqVQS411FeWwcAh4f3kOjBPYhC7ZGwtcDKwvcX279M0k75IMEopnA47TocdUq3vKqyrrYEH/wDApjNfxVt3EE9NOd6acnT9QWz1B7E3HsLlqSTVW0WGr5IsXUM2tTiVj0LKKfSWg3cj1BJYRr6FRu2k3NaLKkc+tal98WQPhNxiGirc7C0ZQlHxUTikm1T0UNXbVwGwwzGI4Ue4kzJkUH46eyob2FFRy3HFeU1v9BoCo86HtW/BZw/Cxc9HdbzQmLEUR/P/FKU67fTJSqGsupHdB+tjn4x5Q92UgePWqGxydQ2N1eUxLUeIWIhVMnY38IJSqj+B1rDvKaWOItB9eW6MyogrpdRcYC4y3YdlHM6mP74jJp6CyxXdH2OPu5GK/buo3L+T2gO7cB/cjb9qL/baUlIb9pPlPkCuv5w8qklRHop0KUWeUvCshWpgN0wFeOkBvNrGHltvDjr7UZsxAF/OIJz5Q8jsN5zeA0aSX9BfWtZEt+Xf9y0ApanDGR7lZ4p7ZbBka0XzQfwh028NJGNr3oLpa6Fw9BGPF7qbsmXLGAS6KsuqG9l1sI6xA2I8jssbWITcqwJJaI09G7x7cEsyJhJQTJIxrfXbSqnzgF8RaKO4G/gaOE9r/VEsyog3mdqi+3C6UigcMIzCAcPa3a+hvpaK0l1UlW6ntnwnnoqdqEPbSa3ZSXbDbop0WTBZ20+Rez+4V8FBoKTpGHU6hb2O/hxKL8aTMxRHwUhyBo6m37CxZGbntVW0EAkhtXwtANW5R0X9mUHBOyp3tJaM9T0m0Dq27h349HdRtY7VB1vG0pyH/6dmQF46K3YcYtfBOAziD65D6VGB/+Q1OLLBC75aScZE4onZhB5a68+AmbE6nhBdlZqWQdHgoyga3PyLyOPx8N5771E0axZlFfso37mR6n2b8ZaX4KjcTkb9bnq591Kgy0lXjQzzbYXqrVD9Mewi8N8MoIw89rsGUpM1BN1rOGn9jqb34DH0HXQU9iSdK0cklrzqTQD4+hy5BStkWJ/AHZWb9rcxQeqptweSsTV/h5Nugn7j2j1evTuQjKW7Dr8mmgbxx37NSN2iZazRmQMN4K+tiHlZQnSVfGOIpGWz2+lTNJg+RYOBMw57v7GhjtIdG6nYsY6GfeuxlW8ms6aEQs9O8qmkDwfp4z4I5d9AObAJ+BTc2sEOe38qMobi7nUUKUVj6D10HEWDR+MwfNOGSCLuWnp7AmtSuoqOfCdlyFF9swHYtL8an19jt7W4y7FwDBzz/cAEsB/+Eq58p915x2obA4t1p7kO76YsDs74v/VAHNaMDI4Z89oCLWOelDyoBlu9JGMi8XQ6GVNKHSTKiQ601r06W44QpqSkpjNo5HgGjRx/2HuVBw9Quu1bKneuxbt/IymVW8ir20E/325SlYch/u0Mqd4eaE3bDiwO3Eyw3TGAgxnD8OQfRWrRGAqGjadf8dEyTYeIvf3rsaEp0zkU9BsQ9ccG9Uon1WmjweNnR0UdQ3pnHL7T6b8KtI5t+xQ2fQQjD//PTEiomzK9lWRsWEEmAFvL4pCM+Zq3jPnSewNgry+LfVlCdFFXWsZujHieT2Di1/nA4uC2acAs4LddKEP0YA6Hgx//+Mfh591JTl5vcvJOhYmnNtvu9/nYs3MzZVtXUb/7W+wHNpBbu5kBnh2kKTfDfNugahtULYBtwOeBcWm7HQM5lDkMb5/RZA4aT9HRx5NfEN8Zqbvz+e8p4hmDht2rSAXW+Qcxvk8rCVUb7DbFiIIsVu+uZMO+6taTsbximPIf8MX/g/l3wtBTwNH6Xcl1wW7K1lrGhgaPvaeyngaPr9VB/p0W7Kb0BceM2bMKAUhpkYzJdWCexKALyZjW+oXQc6XU34Bfaa0fi9jl/5RS1wMzgIc7X0XRU9lsNgYPHmy6GjFls9sjxqldEt7u9/nYvX0jZVtX0rB7NY7yjeTVbmGAdyfpqpERvs1QuRkq5wdm7PtXYEzantTh1OUdjbP/sfQedhwDho9tdhdql+raA89/dxPPGNRsDyRjJY4hTE/tWPf4yMKmZOzMY/q2vtPJt8Cq16B8E3z+KJxyW6u7tTdmrFeGi5w0J5X1HrYdqGVUv+wO1bNdLbopXblFgXp4mg/gl+vAPIlB7MaMzQL+u5XtHwAPxKgMIbotm91O/6Gj6D90FHBZeLvP62HntnUc2LaKxl2rSSlfS5+6zQzQewNj0hq+gr1fwV5gGTRoJ9scxRzMGom/YAyZxeMZOGoqOb16G/vZRIIqDUxrUZk9ssMfPbpvFgAbS6vb3iktF868H/72E/j0QTjmIsg//A7nOndgzFhr3ZRKKYb2yWDFjkNsLYt1MhaY9NUfTMYy8gPJWLZXxoyJxBOrZKwc+C7whxbbvxt8L+HJPGPW8/l8LF++HIDjjjsuKWddtjucDBxxLANHNB9gXVt9iF0bllG5bQV637fkVG1gkHtrUyvaoc1w6D3YCHwEu1Q/9mYcjafgWDKGHM+gMSeQ1yu/3bLl/JsXtxhoTeahDQD4C8Z0+OMjg8nY+n1V7e94zEWw8iXY8i949ya48u3DBvOHuynb6IIc1ieTFTsOsWl/NdCvw3VtU3A5JJ890H2a3Scwbi5XV6F9HlRwEly5DsyTGMQuGbsL+KNS6lTgy+C2KcCZwNUxKiOuZJ4x6/l8Pt5//30Axo8fn5QXYFsysnI5atIMmDQjvM3v87G7ZB37Ny2jcdc3pFaso7B+E/10GQP0XgbU7IWaj2ErsBB2qCL2ZRyNu+BYMoZMYtCYE8iPSNDk/JsXtxhU7SbVV41H28kaEP20FiGhlrGS8rr2x3IpBef8AR6fBts+gdV/hWObuud9fh2e9LW1lrHIstbtPULi10EqmIxpe6BlLL9Pv6b1KQ/uI7P3wEAd5TowTmIQu0lfn1dKrQP+C/hecPM64CSt9Zdtf1IIES2b3U7/YcfQf1jzNQGrykvZueYLakqWkbJ/FX1r19NXlzFI72FQzR6o+RdsBf8CRUkwQWssGEfG4ImGfhIRd6VrANiiixhc2PHJiQuyUsJjubaU1TCmqJ3Z8XsNhem3wL/ugQ/ugGGnQ0Yg6Q/dSQmtjxkDwl2T6/e10yXaGeFuykDLWHpqCvvJpYCDHNq/K5yMCZEIYjnp65fAFbE6nhAiOtn5hYyZfiFMvzC8rap8L7vWLqF221e4gglaIQcYzG4G1+6GbQtxb3PwT/VfAHz92I9w9D+W/BFTGThqMo60LFM/jogB/97V2IB1ehATemd2+PNKKY7qm8XSbRWs21vdfjIGcMINsPoNKFsP/7wJLn4BlAqPF1MKUluZgR+akrHt5XXUNHrJTInN15IKTm0RahkDqLTnUeA/SM2B3TEpQ4hYiclvvVJqUHvva613xKIcIUR0svP7MfrkC+HkpgSttmIvO9d8Qe22ZTj3ryK/dnP4vYlVC3BVfQDrwPu2jW3OIVT0Go9z8BT6H3MK+QOPandiT5FYGncsIw3YwGDOC85y31HHFOWwdFsFq3cd4vvHHWGeMocLLnwS/jgD1r4d7q6sjxgvptr4/emV4aIwO4XSqkbW761i0uDYTEtpa9FNCVDtzIfGrTRU7IpJGULESqxaxkpofwLY5OsAFiLBZPTqx9EnXwQnXwSA2+2G++8HYEnRHDIqvmFg/QYK1EGGeLcwZP8W2P83WAoHyWZnxjE09p1I9ogTKR57EqkZMbzzTcSUbU9gza59WcfgsHfunqRxAwOtYat2RTmEtmgCnPLf8PG98M+fw4DjqXMHuivbGi8WMrZ/DqVV+1m581DMkrFQyxiO1PC2uvQB0PgVvvKSmJQhRKzEKhmb0OK1M7jtZuAXMSpDCBEnU2ffi8vlwufXbN22kX3ffoJvx1f0PrSKod4t5Kkq8mq/gC1fwJbH8L5vY4tjCBV5x2IbNIV+Y6bTb8golE1uRjaucjcp9aV4tQ1vQfTLILV07IBcANburcLj8+OMJqk76WbYvBB2LoE3rqJ+xmtA6xO+RpowKI8F6/azYsehTte3JZv/8G5KnVsMB8FeuT1m5QgRC7EawL+qlc3LlFJ7gFuBN2NRjhAivuw2xdBhRzF02FHANQBU11SzYfViqjZ9Qeq+5Qys+5ZCVcEw3xaGHdgCB/4OX8MBctmROQ7vwBMoGHsag46aJMs8mbB7GQAb9EAG9u38/HOD89PJTnVQ1eBlw75qjul/hHFjAHYHfP9P8ORJsGcFhUv/FziddGf7XzUTBwVuMli+/WCn63tYVfyhbsqmlQFS+gyFbZBRL2PGRGKJ97oDG4Dj41yG6KYcDgeXXXZZ+LmwVrTnPyszi2OnnQHTAusPaq3Zs2MLu7/9BO/2L8mrWMVQz2Z6q0P0rvkE1n0C6+6nigy2pY+loWgq+aNPZfAxJ+Bwtb5kTrKKyzWwK5CMrfQP79Ikqkopjh2Qy783H+CbXZXRJWMAOQPgu4/Dq5fRf/2f+I4tjwrXd9r9yLiBOdhtin1VDew5VE9RbufGuUWyBbsplbPpdy63/3AAenv2hrfJ3yHzJAaxG8Df8opXBGbv+zWwKRZlxJtM+mo9m83GyJEdnx1cxEZnz79SiqLi4RQVDwd+AkBDfS1rVn5K1fpFZOz7imEN35KtahlXtwQ2L4HNj1D3dgobUkdR23cKmSNOQgenHkhm8bgG9K5lKGClHsa1RV0b1zd2QE4wGTvE5VPavU+ruaPPhqnXwZLH+YPzSe6ytd9dmu5yMKpfFt/uruLrHQdjkow5/A3BJ01jxgoHHQ1AHlXUVh0kIztP/g4lAIlB7FrGDnH4AH4F7AR+EKMy4komfRWi81LTMhgz7SyYdhYAHo+b9d98QcXaT0jds4Sh9d+Qq2oY07gStq+E7U8xXNvZsuFhqvqdRN7YMxg67hTsMVp3M2n5vOg9K1DAevtRDMmPfoHw1owb0MFB/JFm/IbydZ+QX7mGnx+8G9wzwZXe5u7HDcoLJGPbD3HusUWdrXKYM5iMaWfTOcjJy+cQmeRSw97t6xk+dlqXyxEiFmKVjJ3W4rUfKAM2a629MSpD9DA+n4/Vq1cDMHbs2KScddmkeJ5/p9PF0cedCsedGi5r87rl7P/2Y5y7ljCoZiWFqoKj3Wth+1rY/jQ176axNX08jcWnUDTxLPoPH9fjp9OIeQzK1mHz1lOl00jpezQ2W9fOX2gQ/8bSaurc3jYnbm2Vw8VHYx9kxmeXUuzeDP+4Ab73dJsxnVicxwuLt7N8R2zGjbn89YEnzuYJ4D7HQHK966jeuQbGTpO/QwlAYhC7ZEwDX7RMvJRSDqXUdK31pzEqR/QgPp+Pt99+G4DRo0cn5QVokpXn3263M/yYyQw/ZjIA7sZGXn71zwxKrSRlx2cMr1lOnqrm2LrFsG4xrHuA/SqfnbnHYxv2HYYcfza5hT1vxvSYx6Dk3wCs8I/gmAEdn3m/pX45qfTLSWVvZQMrdhzixOEduyHggK0Pc9038HLKfdhXvw79xsEJ17e6b2gQ/5rdlTGZ/NUVbBlTruatgwczh8KhdXj3rQXk71AikBjEbnzUx0Brk8PkBN8TQogwZbORkVvAlO/dwPG3vk3W/5Sw7vx3+Xzw9XzjmkCjdlKgyznu4AdMWHYbuU8cw7bfjmPpk9eyZtEbNNbXmP4REtO2wP97v/CPYWJx15MxpRSThwT+tH+5raLDn69z+/hSj2L+gBsCGz76H9jS+lfCwF7pFOen4/VrFm8p73SdQ1J0MBlLad4y5s4LjE1KPbixy2UIESuxahlTtD7paz5QG6MyhBA9lMPhYNTEk2HiyQDU1lSzbtkC6tYvoM/+xYzwb2GIr4Qh+0pg3yvUfZzCyozjcA87gyHTvkefomKzP0Ai8HnRJZ+hgM/9Y/jRoNyYHHbykF68vXIPX3UyGQP4tv8lnN27FFa+BG9cBdcsgrzBh+0/fUQfXizfzmebypg5urDzlfb7ceng3ZQtWsbS+o+FbZBXu7XzxxcixrqUjCmlQvOHaeB5pVTk7VF24Fjgi66UIYRIPhmZWYw/9UI4NbCcU1npbrZ99T7+zR8z5NBiClU54+u+gNVfwOpfs9E+grKi79D7uO8yYuw0bJ2cdb5b27sK1VhNpU7nQMZI+sfgjkSAKcGWsa93HMTt9eNyRH9uQ8shpac4YMZDsH8d7PkaXv0h/GQ+tEiUpo/sw4tLtvPpxrKuVdpTF35qa3HTQNHICfBv6Ofbg6ehBmxy04gwr6stY6FbbBRQDdRHvOcGlgDPdLEMIUSS61PYnz7n/hT4KX6fn81rllC2/G3yd/+Lkd6NjPRtYuTOTbDzKfa9lc/WvJNwjDqb0SeeR2ZG1+4o7Da2fQLAEv9oJg3t0+ZakB01rE8mvTJcVNS6Wb37EMcVR79cUZ0nuDalywHOVLj0L/D0KVC6Gt6+Hr7/bLMB/VOH9sJhU5SU17GjvI5B+W3ffdmuiGTM3jIZ6z+YA+TQW1VSsvZLBh5zcufKECKGupSMaa2vAlBKlQAPaq2lS1IIEVc2u43hx57A8GNPAKB83w62ffEmzi3zGVmzjL6qnL4H34Yv3qb68xtZnHki/tHf5ZiTLyQnO8tw7eMomIx94R/DCcM6P/N+S0opjh+cx/w1pXy5raJDyVi9O3BPV3htypz+cMmf4YXzYM2bgQH9J90Y3j8r1cnE4jyWbqvgk01l/Ci/k93P7sBXUZ1OwdliElGb3cb21NH0bljMwY2LJRkTCSEmbfla699IIiaEMCG/7yAmfe9Gxt36PvbbS1j7nT+yvM+FlKleZKl6ptUu4MSv/hP7H0bwxe8u4JO3n6Ws4pDpasdWYzV6+2IgMF7shGH5MT385CGB43V03FhozFizhcKLT4Cz/jfwfOFvYMu/mn3mlJF9AFi0fn8na0u4ZayOFBz2w1sI6wvGAWDbu6LzZQgRQ51uGVNKfQ2crrU+qJRaQesD+AHQWk/sbDmi53I4HHz/+98PPxfW6onn35WWwejpF8P0i9F+H9tXLaLiq9cZsPcj+lDOCXUfw4qPqfn6Dj5Pm0LDyPMZffKF9OsT2+QlWjGLwaYPUb5Gtvr7Up89nOLOdu+1ITRubFnJQXx+jT3K+ctCyVias8VUBZN+AntWwooX4a/BAf29hgAwY1Qhv5+/gc82H+j8FBfuQDJWr1NaXeA8Y8gU2PEkfatW98jroLuRGHStm/JtIDRg/62uV8UsWQ7JejabjTFjxpiuRtLq6edf2ewUTzid4gmng9/PnjWfsf/L1ynaM58CfxknNnwC33xC7ao7+TRtGp7R32fCqd+jV7Z1Y8xiFoO1gTmaPvBPZsbowpiNFwsZ1S+bzBQH1Y1e1u2tinqdyvAA/paTxSoF5/whMKB/9zJ49Qr46UfgymBkYSZDemew7UAtizbs79xs/J5gNyUpuFpJxoaMPxXvIhtFlHJgz9YefR10Bz39b1E0Op2Maa1/09rz7kqWQxKiB7PZKBp7CkVjTwGt2b/+C0qXvErhzg8o8O9nesMi+HoR5cvvZEH2abgm/IDjTzyDtC5OPGoJdx1600co4D3fZG4d1YUpIdpgtykmDc5j0YYylm6riDoZq/MExoyluVqZxNORApe+CE+dAvvXhAf0K6U4Y0whT32ylflrSjuXjIVaxkgh1XF4Ypqb14v1zhEc7d3Ajq/n03vA8I6XIUQMxbQVSCnlUkoNUEoNinzEsgzRc/j9ftasWcOaNWvw+/2mq5N0kvb8K0XBqBMZe9X/o+B/NlJx2ft8O+AyDqkc8lUVM6rfZvqnl1F232jmP3YDS5d9hdcXn/MTkxhsXoDy1LHT34cdKSOYOjT6AfYdcfzgwHGXdmDcWF1jK2PGImUXBQb02xyBAf1f/B8AZ47pC8C/1pXSELwjs0NCY8ba6KYEKO8zFQDvlk+S8zpIIEn7tyhCTJIxpdRIpdRnBKa22A5sCz5Kgv8KcRiv18sbb7zBG2+8gdcrS5haTc4/oBS9jjqBY376JLm/3MKec15kbe8zqSeFQaqUWQeeZ/K7M1j/28m8/8e7WLc5thOFxiQG374BwAf+4zl7bBEpjvgsJRMaN/ZVSQVatzlEuJnqxsDPlJXaTgtj8TQ484HA8wW/hi3/YtyAXPpmp1Lr9vH55gMdr6y7/W5KgKzRMwAYXPmVXAeGyd+i2LWMPUdgcfBzgeOAicHHhOC/QgiR2OxOio4/n9HXv0bqHVvYNv0RNmZNxYfiGDZx1q5HGP7iJD6/90wWvv0ClTX1Rz5mvNXsR6//JwBv+k7mu+P7x62osQNySHHYKK91s6XsyDfPN3p9uL2BVo6sVGf7Ox//U5jwQ9B++OtV2A6VcOYxgdaxf36zt+OV9TR1U7bVMjZq6pkcJItcqjp+fCFiLFbJ2HjgP7TW72utV2qtV0U+YlSGEEJYQqVkMeQ7VzHy5/Px37SejRN/yfaUo3AqHyd6FnP6iv+i8fdHs+D/rmXF119F3VIUc1+/gPJ7WeEfTmPv0XHrogRIcdiZEFxi6cttR147srqhqYXjiHdEKgVn/wH6HwcNh+C1H/Ld0YFxaR+u7XhXpQ7PM5aKs5WpLQCcThcbc0/q0HGFiJdYJWNrgdjNMiiEEAnCmdOXkeffSvEdS6mc/QnfDvohh1Q2BeoQMypeYcI7M1j922n86+U/sP9AJ7rUOstTj/7yKQBe8J7Bj6YWx/wuypamBOcbW7L1yOPGaoLJWIbLHt1UGM5UuORFyOgDpd8yftVv6J+bRk2jl0UbOjbnmL+xqZvS2c7yTa5jLujQcYWIl1glY/8N/E4pdapSKl8plR35iFEZQghhVM7g8RwzZx45v9hMyelPsi7rBHxacax/Hd/ZeDcZ/280nz94CV998i5ebycGnnfEksdRtWXs0r35KuNULpsc/3ulpgUnk128pfyIrYGhlrEjdlFGCs3Qr2yo1a9ze1FgUtZ/rOpYV2UoGatvZ8wYwKgTz6NWp3bo2ELEQ6ySsQXAVGAhsB84GHwcCv4rhBA9hnKkMPjkyxj18/dx/9dqvjn6Jnbb+5OhGjmxZj7Hf3wFu+8Zwyd/up0dJZtiX4HKXehPHwTgQc8lzJ0xitSWE6vGwfiBubgcNg7UNB5x3Fh1gwc4wuD91hSfAKfeAcDZOx5kiNrLwvWl1DZGP7DbH+ymrNeuNseMAaSmZbAxa2rH6idEHMQqGTst+PhOi0domxBC9Ehp+QM59ge/pv8v17DrwrdY2ec8akmlmL2csvMJ+j93PCvv/w5L332GhvoYrBqnNfqDO1CeOpb6j2JV3hlcPGlA148bhVSnneMG5QGweGv748ZCd1JmdjQZAzj55zD4ZOzeOp5Mm4ff08iCdaVRf1w3BKaKrCLjiF2kjuOuCD9vqJXB/MKMmMxoqLX+JBbHEcnFbrfz3e9+N/xcWEvOf4wpxYBxpzFg3Gm466pY/a8Xca5+haMbVzO+cTksW07lsrtY1XsW+SddxfBxJ3cuBp8+iFr3Dj6t+K1vNr+/eFy7rT+xNm1YPou3lrNkSzk/mtr2Qt6d6qYMsdnhe0/DEydyVP1WbnO8yj9WDYj+btH6QIdMte3IC8OPPfFcDn36DPn6EBv+lcXxF93c8fqKLpG/RTFKxpRSx7bxlgYagB1a68Y29hFJym63M378eNPVSFpy/uPHlZ7N2HPnwrlzKS1Zx/aFzzBo59v05QBTDrwJb71JyT+KKR36fYpPvZK+/Qcf+aDuOvTnj6A+CSyyfZd3Nt8980wmDY7fHZStmTo0NIg/MG6srZsGajrbTRmSXQQXPA6v/ICfOt7nX5uOp7J+HDlpR07uVDAZq7Udeciyy+UibegUxm95mM1rX0RfeCPKJqviWUn+FsWum3IlsKKVx0pgPVCplHpBKSUjJYUQSaVw8Cgm/+QhCn65gW+/8wLLsr5Do3Yy2LedKZv+QN9nxrHhnsksef5ONixbgMfd0PwAfh96+Qu4HxkfTsSe9J6HY8rV/OSkIZb/POMG5pDqDMw3tml/TZv7hVvGurKk1FFnwcQrAbjH9jQLvimJ6mO2hkMA1Noyo9r/mLN/RqN2Mty3lW8//2dnaipEl8Rq4bULgf8Ffg8sDW6bDPwc+E2wnAeAe4BbYlSm6Ob8fj+bN28GYPjw4djkf6OWkvNvLZvDwTHTL4DpF3CovIzlHz1H3ua/Y/fWo7xuJpc8jq1kHp5/2Nll70uDIxuH0uR7dpPlr8YF7NK9+YPvUo4986f8+qShRn6OFIed44rz+HxzOUu2ljOysPWuwKhm34/GzN9S8+17DHXvY83nD8KUp474EVvjIQDq7EduGfP7/ewrr2RjziWcXfUy9n8/CCef17U6iw6Rv0Wxaxn7BXCD1vpPWuvVwcefgJuAn2utXwL+k0DSlpCUUnOVUmtpSiZFnHm9Xl555RVeeeWVpF0CwyQ5/+bk5vfhhB/cxrDbPuEVdSGvqAtZnnYSB8nCqXwM8O9muHsdgxvXk+Wv5pDO4H7fj3h01CvccOMvuMpQIhYybWjTFBdt6dKYsUhpudTOCLQInlX5Ooe2LGt/f68buyc4z1gUyVjoOlheXUiddjG6cSUbvvqoa3UWHSJ/i2LXMjaWwJqULW0PvgeBLst+MSov5rTW84B5wXnRKk3XRwiRXMbd9CYOu4M9u7ayr2QNdVWHaPR68ecMImfAaG4e2jdu6052VGi+sSVby/H7NbZW7lgMTW1xxNn3o1A4+ft8tuA5Tnb/G/9bc+HGf4O9jSQv2EXp1wqPI7puypBVeWdw4qF/4F5wLxw/s4u1FiJ6sUrG1gO3K6Wu0Vq7AZRSTuD24HsA/YHo700WQogkY7PbKCoeTlHxcNNVadfY/rmkOe0crPOwcX81R/c9vAWqqWUsNl8z246/i7H/voBe1eth6TMw7brWdwzdSUkadkfHyh54zu24//IeYxtX8O2nf+eY6QnbmSN6mFh1U84lsEj4LqXUAqXUAmBXcNvPgvsMBR6PUXlCCCEMcTlsTBocnG+sja7KyvpAy1h2FHc/RuM7k47hf70/AMC/6H+hro0lmYLJ2CGd2eEpP/oWj+TrgosAyFh0Fz6Pu/MVFqIDYpKMaa2/AIYAvwK+CT5+BQzRWi8J7vOi1vr3sShPCCGEWVOPMG7sYF0gkcnPcMWkvAF56WwquoB1/oGBAfrBFQgOE0rG6HgyBnDUpfdwkCyG+Lfz9d/kK0tYI2a3LGitq7XWT2qtbw4+ntJaV8fq+EIIIRJHKBn7qqQCv//wdSoragPJWF6MkjGAc8YP5D5vcMb8pU9D+ZbDdwomY5U6o911KduS17uQ9aNvBODo9f+Pg6U7O1tdIaIW0/tHlVKjlVJnKqXOj3zEsgwhhBDmje2fEx43trms+XxjHp8/PGasV3rskrGzx/bj3/pYPvaNA78HFtx1+E6hZIwMHPb2l0Jqy/EX3sBG+3CyqGfni/8BR1gUXYiuitUM/EOBvxO4c1IDoSsg9BucGLcAiYRit9s566yzws+FteT8m9edY+By2JhYnMvnm8v5ssV8Y4fqAuPFbCp2Y8YACrNTmTKkF/duu4JT7KuxrfsH7FkBRROadqreB8B+nRdVN2VrMXA4nXD+Y7jfPIdjaz5n1T+fZNy5P2vvMKILuvN1ECuxahl7FNgGFAB1wBhgOrAMODVGZYgexm63M3nyZCZPnpy0F6BJcv7N6+4xmDw40FX55bbmg+lD48Vy0pxHXKi7o84bV8RmPYBFrlMCGz6+r/kOVXsA2NeBZKy1GIwcN40vi68BYOiyu6nYuy02P4A4THe/DmIhVsnYNOBXWusDgB/wa63/DdwB/F+MyhBCCJFAJg8JrIu5dFsFOqIrLx7jxULOOqYfdpvi7upz0coOmz6EnV817VAemMl9uy7E5ehaIjjlh3ez3j6SLOrY++er0X5/l44nRFtilYzZgdBg/QNAUfD5duCoGJUhehi/309JSQklJSX45Y+c5eT8m9fdYzBhUC4uu4391Y1sL68Lbz8YTMZiOV4spFeGi3EDcijR/djWP7hs0cf3Bv7VGg5sAmCLLoqqZay9GLhcLuwXPUmDdjKm/itWvfVwTH8WEdDdr4NYiFUy9i0wLvj8S+A2pdSJBKa32BqjMkQP4/V6eeGFF3jhhReSdgkMk+T8m9fdY5DqtDNuYA4AX25rmuKioi5+LWMAJ43oA8DzzkvA5oCtH8O2zwJdlJ5afMrBdl0YVTJ2pBiMGH0cS4ddD8DRq+5n59olsf1hRLe/DmIhVsnYPRHHuovAnGOfAWcDN8SoDCGEEAkm1FUZOW4sni1jACeP6A3AP7Y70ROuDGz8583wzasAVKYOwIujU/OMteaEy3/J1ynHk6o82N+YTX3VwZgcV4iQWE36Ol9r/Wbw+Sat9dFAb6BAa70wFmUIIYRIPJOHBAbxL41IxsqDyVhuRuzupIw0fmAumSkODtZ5WDfqRsgogAMbYeHdAKwqDCxj5Ork1BYtORwOBs55kT30oci/l03PXCnTXYiY6lIyppR6tq0H8CDwp+BzIYQQPdBxxXnYbYpdB+vZfagegNKqBgAKs1LjUqbTbmPq0ECL3KJdHjgnYjb+cZfzZcGl4f1ipU9hPw6c9RRubefY6k9Z+fq9MTu2EF39TZ0NnAbkAnntPIQQQvRAmSkOjikKLBT+VbB1bM+hQDJWlBufZAzgpOGBrsovNpfD6O/CKbfDcbPhvEfwBFcEcDpiOq85x045ncUjfg7AMWv/wOYv/xnT44vk1dXf1CeAHAJjxD4GfqK1vrDlo8u1FEIIkbCaxo0FBvHvrQy0kPXLSYtbmVOCyzGt2HEQn1/DaXfAeY+CIwWPL3BHXixbxkJOvuwOlmScjkP56fP+NZRtXx/zMkTy6dJvqtZ6LtAP+B1wHrBTKfW6UmqWUiq2M/0JIYRISKFxY19uq6DR66OsuhGAfnFsGRtZmEVmioNat48N+5ovgxxOxmI84SyAzW5jzLXPs94+khxqqP/z92mokQH9omu6vByS1roReAV4RSlVTKDr8nHAoZQao7Wuae/zInnZ7XZmzJgRfi6sJeffvJ4Sg+MHB0ajbC2r5d+bDuDXkJXioE9mStzKtNsUEwbl8tmmAyzfcZDRwa5SgAZPIBlLcUY3A39HY5CVlU3mj19n/7OnMci3kzVP/IDRN/8TZY/JCoNJp6dcB10R698cP01rUybnGRVRs9vtnHjiiaarkbTk/JvXU2KQm+7ixOH5fL65nFv+ugqA4YWZxLuDZMKgPD7bdIAVOw7yo6nF4e0NHh8QmAftSDobgwGDhvDN2c+R/c+LGVO7hBV/vI4J1zwF0inUYT3lOuiKLneoK6VSlFKXKaU+AjYSWCz8emBQd2oVU0rNVUqtBZaarosQQnQ31582AoCDwUXCx/bPiXuZxwbLWLunqtn2jiRjXSp/8mksnxhYG3PC3tdY8fo9cS1P9FxdndricWAvcDvwLjBQa32x1vo9rXW3WtNAaz1Paz0amGy6LsnC7/eze/dudu/enbRLYJgk59+8nhSDqUN7MSaiq/Di4wbGvcwx/QPlbdpfE07AoKmbMppkrKsxOPG717CoODC3+YR1D7Lmw+c6fIxk15Oug87qasvYtUAVgSWPTgGeVkq92fLR5VqKHsnr9fLHP/6RP/7xj0m7BIZJcv7N60kxUErxi3NGoVRg7rGxA+LfMtY3O5X8DBc+v2Z9xCD+Bm+wZSyKqS1iEYNTfvxrPuv1PQBGfH4LW76a36njJKuedB10VleTsT8TmNLiEFDZzkMIIUQPd8Kw3nx443Se/fHxlpSnlGJMsKtyzZ6mr5p6tzXdlOF62GxMufZpvko7EZfy0uefV7Fn0wpLyhY9Q5cG8GutZ8eoHkIIIXqAEYVZlpZ3dN8sPt1YxqbSpiHKjd7ouyljxeVycvR1r7L2kZmM9q2n7uWLOXjtv8grHGRZHUT3FfsZ8YQQQgiLDO+TCcDm/U3JWGj8WJqFyRgEprzofc2b7FD96KvLOPjMd6mvPmRpHUT3JMmYEEKIbmt4YdvJWGoU84zFWkFhf3yXv0E5OQz1bmXr4xfhdTdYXg/RvUgyJoQQotsaXhBIxvZVNVDVEJhWoyN3U8bDkBHHsO+cF6jTKYypX8bqeVeg/b4jf1AkLUnGhBBCdFvZqU4KswMz/W/ZX4PWmvpgy1g0M/DHy5jjT2PtyY/h0XYmVC7g6yevAa2N1UckNlm7QRhjt9s55ZRTws+FteT8mycxiI0hvTMorWpke3kdo/o1zXUW7Qz88YrBpBmXsLimgikrbue4/W+w7IVeTJr9+5iW0RPIdSDJmDDIbrdz6qmnmq5G0pLzb57EIDaKe2WwZGsF28vraPQ0TRqa6oguGYtnDKZdcC2f1R3k5I0PMKnkaZa/3ovjLrkjbuV1R3IdSDelEEKIbm5QfjoAOyrqwhO+2m0Kpz0x1ok8+fI7+Kz/1QAct/YBVv3zacM1EolGkjFhjNaa/fv3s3//frSMpbCcnH/zJAaxMahXKBmrbbqT0mGLaqFyq2Jw0k9+xxf5FwEweuntrPtMFqcJketAkjFhkMfj4YknnuCJJ57A4/GYrk7SkfNvnsQgNpqSsbrw4P1o76S0KgbKZmPKdc+wNGsGTuVjxCfX496/IW7ldSdyHUgyJoQQopsLJWOlVY0cqgt8mZua1qI9drudcde/xIrUKaQpN7N2PcyOtV+ZrpZIAJKMCSGE6NZy051kpQTuRwtN/mpyWov2pKSkMvL6N1jjGEO2qiPn75exZ+ta09UShiXmb6sQQggRJaUU/fPSANhaVgtYvxRSR2RkZlNw9RtsYhC9OYR+8QLK9+4wXS1hkCRjQgghur3+uYFkbHNZoGUsEbspI+X26sPXI29hl+pLf11K1R/Po+pQmelqCUMkGRNCCNHtDQi2jG3ZH0rGEv/rLTUjF89lf+UAuQzxlbBn3vk01FWbrpYwIPF/W4UQQogjCHVT7j5UD0Q34WsiGDBkFIcueo0qncHRnrVs+H8X4XU3mq6WsJjMwC+MsdvtTJs2LfxcWEvOv3kSg9jpn5ve7HW03ZSJEIPhY6eypvY5hr7/Q8bVf8myeT9k4n+9ii1JficSIQamSTImjLHb7Zxxxhmmq5G05PybJzGInVDLWEiaK/pkLBFiMGbqLFbUPsYxn/6MSZUf8uVT1zL52qdQtp7fgZUoMTCp50dZCCFEjzegRTKWk+Y0VJPOm3D6payYeB8AU/a/ztIXf2G4RsIqkowJY7TWHDp0iEOHDiXtEhgmyfk3T2IQO/kZrmaD9qNNxhItBpO/ey2LR94KwJRtj7P0jQcN1yj+Ei0GJkgyJozxeDw8+uijPProo0m7BIZJcv7NkxjEjlKKotym1rFok7FEjMG0y3/JF/2vAmDS6ntY8f5zhmsUX4kYA6tJMiaEEKJHGJjXNIi/ICvFYE26btpPHmJJr+9iU5oxS37Ot5+9ZbpKIo4kGRNCCNEjDO2TEX7eNyfVYE26TtlsHH/dsyzLPBWX8jF0wTVs+nqR6WqJOJFkTAghRI9w6lEFANhtimMH5JqtTAzYHQ7GXv8Kq1Mmkq4a6f3OD9m+foXpaok4kGRMCCFEjzB9RG/+32UT+NfPT8FuU6arExMpqekMuf7vbHCMJI9qUl+9iNIdm0xXS8RYj0zGlFLnKqU2KKU2KaV+aro+Qggh4k8pxXnjiijOzzjyzt1IZlYuBf/xDiW2ARRSTuPz3+Vg2R7T1RIx1OOSMaWUA3gI+A4wAbhVKZVvtlZCCCFE5+X16UfqVW+zj94M8u/mwFPnU1N10HS1RIz0xBn4JwNrtNa7AZRS7wNnAK8YrZU4jM1mY9KkSeHnwlpy/s2TGJjXnWLQd+Bwtl/2BgdfOY8R3k2smXcBw296n5TU9CN/OIF1pxjES8IlY0qp6cCtwHFAP+BCrfVbLfaZG9ynL7AK+E+t9dLg20XA7ojddwP941xt0QkOh4NzzjnHdDWSlpx/8yQG5nW3GBQfNYGN57+M6+2LGdO4kq8fu5RxN/4duyPhvs6j1t1iEA+JmIJmEEiw5rb2plLqUgLdkL8BJgb3na+UKrCshkIIIYQhIydOZ+uMp3FrBxNrPmX547PRfr/paokuSLhUWmv9PvA+BAZjtuJm4Bmt9XPBfa4FzgHmAA8Ae2jeEtYfWNryICFKqRQgcnbALAjMCByPmYBDx0zWWYYjaa2pq6sDID09va14x5zEIMDU+QeJQYjEwLzu+nfo6Klns7Lq90xcejOTK/7BF3+8keOv+kMsq2iZ7hqDjpRxJCqR14FSSmkiuimVUi6gDvh+ZNelUuoFIFdr/d3gAP51wKlAJbAcOEFrXd5GGb8G7mq5/eWXXyY9vXv3wyc6n8/H6tWrARg7dix2u91wjZKLnH/zJAbmdfcYeLcu4qLKZwF4K+ty1PAzDdeo47p7DNpTV1fH5ZdfDpCjta5qa7+Eaxk7gt6AHShtsb0UOBpAa+1VSv0c+JhAN+zv2krEgu4n0O0ZkgXsOuOMM8jOzo5ZxUM8Hg8fffQRM2fOxOmMbu20nsrtdocvwFmzZuFyuSwpV2IQYOr8g8QgRGJgXvf/O3Q2X/wllRO2P84F1S+z1D+aCedeG7N6WqH7x6BtVVVt5l/NdLdkLCpa63eAd6LctxFoDL0ONY86nc64/oGK9/G7g8hWWRPnI9ljYPr8myw3UUgMzDMdg1iUOe3H97L4qYNMK32FiSt/xbdZvRk/47IY1TD+ekIM2jt2NBJxAH97DgA+oLDF9kJgn/XVEUIIIcxSNhtTrpnHVzmzcCg/R3/2n6xd8oHpaokO6FbJmNbaTWAM2OmhbUopW/D1YlP1EkIIIUyy2e2Mn/siK9Onkao8DPxgNltWLzFdLRGlhEvGlFKZSqnxSqnxwU1Dgq8HBV8/BFytlPqxUmoU8ASB6TCe62K5c5VSa2nnzkshhBAiUTldKRx9/RusdR5DFvVk/+0H7N2+wXS1RBQSLhkDJgErgg8IJF8rgLsBtNavAbcEX68ExgNnaq1bDurvEK31PK31aAIz+AshhBDdTmp6Jv2ve5sS2yD6cBD3CxdRWd6lr0dhgYQbwK+1XgS0O8mI1vox4DFLKiTixmazMW7cuPBzYS05/+ZJDMzriTHIyetNw5y3KP3jTIr9O1n35AWk3PQRqemZpqvWqp4Yg45KuGRMJA+Hw8EFF1xguhpJS86/eRID83pqDAoHDKPk0tepeu18RnnWsuKxSzj25ncSctmknhqDjkjOFFQIIYTo4QaPmsSuWX/CrR1MqPucZU9eLcsmJShJxoQxWmvcbjdut5tEXgmip5Lzb57EwLyeHoPR087i26kP4teKKQfeZMmLvzRdpcP09BhEQ5KxILmb0noej4f777+f+++/P+nXxzNBzr95EgPzkiEGE8+6iqVH3wbAtG3z+OqtxBpynQwxOBJJxoLkbkohhBA91dTL7mRxvx8CMGHF//DNx28YrpGIJMmYEEIIkQSm/PT/WJY9E4fyM3zRdWxa8anpKokgScaEEEKIJGCz2zl27l9YnTKBdNVIr7d/yO6ta0xXSyDJmBBCCJE0XCmpDL7uTbbYh5JPJfrFiygv3WW6WklPkjEhhBAiiWTl9CLn6rfZowoYoPdS/syF1NVUmq5WUpNkLEjuphRCCJEsevcdhPeyv3KQLEZ6N7Jp3vfxuBtNVytpJd5UvIZorecB85RS2YD8F8ECNpuN0aNHh58La8n5N09iYF4yx2DQyPGsP/cFUv/xA8bVL2Xp47M5/r9eQll8HpI5BiGSjAljHA4HF198selqJC05/+ZJDMxL9hgcPel0Vh58lLH/vo7Jh95jybO3MPWnD1lah2SPAUg3pRBCCJHUxs+8nGXH/A8AU3f9iaVvPmq4RslHkjEhhBAiyU25+OcsGXAVABNX/ZpvPnnTcI2SiyRjwhi3281vfvMbfvOb3+B2u01XJ+nI+TdPYmCexKDJlDkPhSeFHfqv69i8erEl5UoMJBkTQgghBKBsNo6d+xfWuI4lU9WT/bfL2bdzi+lqJQVJxoQQQggBBCaFHfCzN9luG0gBFdQ99z2qKitMV6vHk2QsSOYZE0IIISAnrw8ps9/kALkM9Zew/fGLcDfKHGTxJMlYkNZ6ntZ6NDDZdF2EEEIIk/oOGsmhC/5CnU5hbOPXrHhiNtrvN12tHkuSMSGEEEIcZvj4k9l8yv/h04oph95j8fO3m65SjyXJmBBCCCFadex3fsDyY34JwAk7nuLLt+YZrlHPJDPwC2NsNhsjRowIPxfWkvNvnsTAPInBkU2++Ba+PFjClD0vMmHF//BN/kCOPfn8mB1fYiDJmDDI4XBw+eWXm65G0pLzb57EwDyJQXQm//RRvn54FxOrP2bwgv9gS69+DBtzfEyOLTGQbkohhBBCHIGy2Rkz9yXWOceQrepI/+sPKN1dYrpaPYYkY0IIIYQ4opTUDPpf+3d22vrTjwNUP3shVVUHTVerR5BkTBjjdru57777uO+++5J2CQyT5PybJzEwT2LQMdn5hdh/9DcqyGa4bytbH78Ej6dr501iIMlYmEz6aobH48Hj8ZiuRtKS82+exMA8iUHHFA0ZRcX5L1KvXYxvWMqyx3/S5TnIkj0GkowFyaSvQgghRHSGTzyVTSc/gl8rph18hy/+/D+mq9StSTImhBBCiA47dsYVLB91GwAnljzGsnefNlyj7kuSMSGEEEJ0yvE/uJMvC38AwLFf3cG6xe8brlH3JMmYEEIIITrt+Gse5+uMk3EpL0Xzf8KuTStNV6nbkWRMCCGEEJ1ms9sZdd2rrHccTQ612F6+hINle0xXq1uRGfiFMUopiouLw8+FteT8mycxME9iEBtpGZn0vvpNdj95Gv11KRue/h5pNy0gNT3ziJ+VGEgyJgxyOp3Mnj3bdDWSlpx/8yQG5kkMYqd3YX9KLn2dylfP5ijPOr5+4odMuOlvKJu93c9JDKSbUgghhBAxMvjo8eyY8TRubWdi9cd8+aebTVepW5BkTAghhBAxM/akc1kx/m4Apu5+nq/efNRwjRKfJGPCGLfbze9//3t+//vfJ+0SGCbJ+TdPYmCexCA+plx4PV/0nwPA+FW/Yc1nb7e5r8RAkrEwWQ7JjLq6Ourq6kxXI2nJ+TdPYmCexCA+ps75A8uyvoNT+Ri48Fq2r/+6zX2TPQaSjAXJckhCCCFE7NjsNo657i+sc44mmzqcr11KeelO09VKSJKMCSGEECIuUtMyKLz6b+xSfSnS+znwzEU01NWYrlbCkWRMCCGEEHHTq6AI/+WvU0kGR3k3sObxy/H7fKarlVAkGRNCCCFEXA0aMY5ds/6EW9s5ruYTlvzxRtNVSiiSjAkhhBAi7sZMO4tvjrsHgBP2/pkv33jYcI0Sh8zAL4xRSlFUVBR+Lqwl5988iYF5EgNrTTr/OpaUbWXqzmc4bvXdfFMwhFHTzkn6GEgyJoxxOp1cffXVpquRtOT8mycxME9iYL0pV/2O5Y+UcFzVRwxZeC07e/8j6WMg3ZRCCCGEsIyy2Tjmuj+zzjmGLFVP2uuXUbZ3h+lqGSXJmBBCCCEslZKaTtG1b7JTFdGPMir+dBF1tVWmq2WMJGPCGI/HwyOPPMIjjzyCx+MxXZ2kI+ffPImBeRIDc3Ly+2L74euUkcP73pN57A8P0NDQYLpaRkgyJozRWlNZWUllZSVaa9PVSTpy/s2TGJgnMTCr/7Cx7J/5BJUqh3qdwtJnf266SkZIMiaEEEIIY0YcPzP8fOr+V/ni9T8YrI0ZkowJIYQQImFMXnMPKxa9aboalpJkTAghhBAJYWX26TiUn+EfX8eWb5earo5lJBkLUkrNVUqtBZIn+kIIIUQCGXP1M6xzjSVL1ZP+RvJMeSHJWJDWep7WejQw2XRdhBBCiGTkTEmj/3/8jV2qiH4c4OAfk2PKC0nGhDFKKfr06UOfPn2SdgkMk+T8mycxME9iYF7LGGTnF6J++FcOksVI30bWz7sMv89nuppxJcshCWOcTifXXXed6WokLTn/5kkMzJMYmNdaDPoPO4b1Z/2JjPcuZ2Ldv1nyzH8y9drHDdUw/qRlTAghhBAJ5+gps/hm0n0ATN33EkvfeNBwjeJHkjEhhBBCJKRJ5/0HiwddC8DE1ffy7Sc9c8oLScaEMR6Ph8cff5zHH39cliExQM6/eRID8yQG5h0pBlNn389XObNwKD+DP76O7Wt73qQHkowJY7TWlJWVUVZWJsuQGCDn3zyJgXkSA/OOFANls3HsdS+wxjmWTOpJ+evllJf2rCkvJBkTQgghREJLSUmj6D/+xk5VRF9dRvkzF9FQV226WjEjyZgQQgghEl5e70L8l73GITIZ6d3IusevQPt7xpQXkowJIYQQolsoHnksu854Bre2M6HmE5Y+e7PpKsWEJGNCCCGE6DaOOeFsVky4G4Apu55n+Vv/z3CNuk6SMSGEEEJ0K1MuuJ4v+l8FwLEr7mLtF/80XKOukWRMGKOUIicnh5ycHFmGxAA5/+ZJDMyTGJjX2RhMnfMHlmWehlP56P/h1eza9E0caxlfshySMMbpdHLjjTearkbSkvNvnsTAPImBeZ2Ngc1uZ8zP/sL6h0/naO96ql++hMrrF5GT3zf2lYwzaRkTQgghRLeUlpFJ/k//yh5VwAC9lz1PXYS7od50tTpMkjEhhBBCdFt9+g6i4eKXqdZpjHJ/yzdP/Bjt95uuVodIMiaM8Xg8PPPMMzzzzDOyDIkBcv7NkxiYJzEwLxYxGDr6eLaeNg+vtjGpcj5f/vkXMa5lfMmYMWGM1po9e/aEnwtryfk3T2JgnsTAvFjFYNypF7Fk/1amrr2HqSWP8/V7w5l49k9iVc24kpYxIYQQQvQIUy+5lcUFPwBgzJf/zYZlCwzXKDqSjAUppeYqpdYCPW85eCGEECJJTL5mHivSppGiPPR59yr2bFtvukpHJMlYkNZ6ntZ6NDDZdF2EEEII0Tl2h4MR173KZvswelGF+8XvU3Wo3HS12iXJmBBCCCF6lMysXLLmvMF+ejHYv5PtT34fr7vRdLXaJMmYEEIIIXqcwv5DqbzgL9TpFMY2fM3XT12dsFNeSDImjEpPTyc9Pd10NZKWnH/zJAbmSQzMi1cMRow/kfUnPYxfKyaXv82Xr9wT8zJiQaa2EMa4XC5uvfVW09VIWnL+zZMYmCcxMC/eMZg48woWl25h2uY/MHnjQ6z8aDjjZ14et/I6Q1rGhBBCCNGjTb38lyzpdQE2pRn57xvZvOrfpqvUjCRjQgghhOjRlM3Gcdc+zTepx5GuGsn++48o27PNdLXCJBkTxng8Hp5//nmef/55WYbEADn/5kkMzJMYmGdVDJyuFIqv/SsltoEUUEHdny/F526IW3kdIWPGhDFaa7Zv3x5+Lqwl5988iYF5EgPzrIxBTm4+tT96g4oXZjLct5UD657Ed+75OJ3OuJZ7JNIyJoQQQoikUTTkaPaf8xyN2slU/9eseP4m01WSZEwIIYQQyeXo42fwzaT7qNLppB0903R1pJtSCCGEEMln/JlX8XZtBt896XzTVZGWMSGEEEIkJ2dapukqAJKMCSGEEEIYJd2UwijTd7AkOzn/5kkMzJMYmJfsMZBkTBjjcrm48847TVcjacn5N09iYJ7EwDyJgXRTCiGEEEIYJcmYEEIIIYRB0k0pjPF6vbz++usAXHLJJTgc8utoJTn/5kkMzJMYmCcxkGRMGOT3+9m0aVP4ubCWnH/zJAbmSQzMkxhIN6UQQgghhFGSjAkhhBBCGCTJmBBCCCGEQZKMCSGEEEIYJMmYEEIIIYRBcjdlG6qqquJyXI/HQ11dHVVVVUm//IPb7aahoQEInG+Xy2VJuRKDAFPnHyQGIRID8+TvkHk9OQbR5hJKax2XCnRXSqn+wC7T9RBCCCFEjzFAa727rTclGWtBKaWAIqAaWApMbmPX1t6LZlsWgWRvQLAMq7T3s8TrGNHu39Hz3N57EoOO73+kfSQGXTuGxKD9elhxjHjGoCPbI7eZOv8t62HVMZI5BlnAHt1OwiXdlC0ET9ZuAKWUX2vdahtja+9Fsy2Q6wFQ3dax46G9nyVex4h2/46e5/bekxh0fP8j7SMx6NoxJAbN9bQYdGR75DZT57+tusX7GEkegyMeWwbwt29eB9+LdpsJsahHR48R7f4dPc/tvScx6Pj+R9pHYtC1Y0gMmutpMejIdolB1/bpSTFoRropLaaUygYqgRyr/zckAiQG5kkMzJMYmCXn37xEioG0jFmvEfhN8F9hhsTAPImBeRIDs+T8m5cwMZCWMSGEEEIIg6RlTAghhBDCIEnGhBBCCCEMkmRMCCGEEMIgScaEEEIIIQySZEwIIYQQwiCZgb+FFsshCSGEEEJ0hSyH1AlFyELhQgghhIidAQSXWmyNJGOHqwbYuXMn2dnZMT+4x+Phww8/5IwzzsDpdMb8+OLIJAbmSQzMkxiYJeffPCtiUFVVxcCBA+EIvW2SjLUhOzs7bslYeno62dnZSX8But1u7r//fgDuuOMOXC6XJeVKDAJMnX+QGIRIDMyTv0PmSQy60QB+pZRdKfVbpdQ2pVS9UmqLUup/VMSy6yrgbqXU3uA+C5RSI0zWWwghhBCiPd0mGQP+G/gZcD0wKvj6NuA/I/a5Dfgv4FpgClALzFdKpVpbVSGEEEKI6HSnbsoTgLe11v8Mvi5RSl0GTIbwXZA3Avdord8ObrsSKAUuAF61usJCCCGEEEfSnZKxL4BrlFIjtdYblVLjgJOAm4PvDwH6AgtCH9BaVyqlvgSm0UYyppRKAVIiNmVBoC/Z4/HE/IcIHTMex+5uIs+Bx+MhosfZknKTPQamzn9k2RIDiYFpsYyBz+fD6/XSzgwGYV6vF4fDQU1NDQ5Hd/oqjj2Px0NGRgYANTU1lo3f6moMlFI4HA7sdnub+0R7falofmkSgVLKBtxHoCvSB9iBX2it7w++fwLwOVCktd4b8bnXAa21vrSN4/4auKvl9pdffpn09PRY/xgigs/nY/Xq1QCMHTu23V9oEXty/s2TGJgXqxhkZWWRlZWFzdadRv8kDrfbDWDpTSyx4Pf7qa6uprq69Zsl6+rquPzyywFytNZVbR2nO6XjlwBXAJcDa4DxwCNKqT1a6xe6cNz7gYciXmcBu84444y43U350UcfMXPmTON3b5jmdrvDfwRnzZpl6R00EgNz5x8kBiESA/NiEYPS0lKqqqro06cP6enpUbWuaa2pra0lIyPD0hbRRKS1pry8HID8/HzLzkdXY6C1pq6ujrKyMkaOHElhYeFh+1RVtZl/NdOdkrHfAw9orUPdjauVUsXAHcALwL7g9kJgb8TnCoGVbR1Ua90INIZehwLidDrj+gcq3sfvDpRSjBgRuNk1JSXF8qb6ZI+B6fMPEgOJgXldjYHP56O6uprCwkLy8/Oj/pzf78fj8ZCWlpb0rWlaaxoaGgCiTmZjIRYxyMjIwGazsX//fvr163dYy2q011Z3SsbSAX+LbT6a7gjdRiAhO51g8qWUyiZwV+UT1lRRdITD4Qg13woD5PybJzEwr6sxCI0JkmEtnaeU6lAim2hCsfd4PJ3u5u5Oydg/gF8opXYQ6KacQGDw/rMQGBSmlHoE+KVSahOB5Oy3wB7gLRMVFkIIkRySvasxmcUi9t0pGftPAsnV40ABgSTrKeDuiH1+B2QATwO5wL+BM7XWDZbWVAghhBAiSt0mGdNaVxOYR+zGdvbRwK+CD5Hg3G43Dz74IAC33HJLt7uLpruT82+exMA8iYF5fr+f0tJSAAoLC5NyDF3y/cQiocRrPjcRHTn/5kkM4svvP/L0Tckag9mzZ6OUOuyxefNmAHbu3MmcOXMoKirC5XJRXFzMDTfcEL7zMeTUU09FKcUDDzxwWBnnnHMOSil+/etft1sXrXVU87P1VJKMCSGE6JGue2k5pz64iNpGr+mqJKwzzzyTvXv3NnsMGTKErVu3MmnSJDZt2sQrr7zC5s2befLJJ1m4cCHTpk2joqKi2XEGDhzI888/32zb7t27WbhwIf369bPwJ+qeJBkTQgjR43h8ft5bvY8dFXX8e/MB09VJWCkpKfTt27fZw263M3fuXFwuFx9++CGnnHIKgwYN4qyzzmLBggXs3r2bX/ziF82Oc+6553LgwAE+//zz8LYXXniBM844g4KCAqt/rG5HkjEhhBA9zt5DTfdt1bt9lpattabO7T3io97ti2q/jjxi0dVXUVHB/Pnzue6660hLS2v2Xt++fbniiit47bXXmpXlcrm44ooreO6558Lbnn/+eebMmdPl+iSDbjOAXwghhIjWzoN14ef1HmuTsXqPj9G/mm9pmSFr755Fuiv6r/Z3332XzMzM8OuzzjqLW265Ba01o0aNavUzo0aN4uDBg5SVlTVr9ZozZw4nn3wyjz76KMuXL6eyspJzzz33iOPFhCRjQggheqDSqqaWsUaLk7Hu5LTTTuOJJ5rmRc/IyGDHjh0AHW5lGzduHCNGjOCNN97g448/5kc/+lHSL4IeLTlLwhilFMXFxeHnwlpy/s2TGMRPVX3T3ZFuX8vFW5rEIwZpTjtr757V7j5+v5/qqmqysmO7uHias2MzwGdkZDB8+PBm21wuF0op1q1bx4UXXnjYZ9atW0deXh59+vQ57L05c+Ywb9481q5dy9KlS6OuR7JPKSLJmDDG6XQye/Zs09VIWnL+zZMYxE91Q9MdlI2etpOxeMRAKXXErkK/34/XZSfd5Ui4ebXy8/OZOXMmjz/+ODfddFOzcWP79u3jpZde4sorr2w1eb388su55ZZbGDduHKNHj46qPJvNRu/evWNW/+4osX4DhBBC9DhVDR7u/sdaVu48ZFmZ1RHTWbTXMiZa99hjj9HY2MisWbP49NNP2blzJx988AEzZ86kf//+3Hvvva1+Li8vj71797Jw4UKLa9y9STImhBBJoKrBwzOfbuXFxSU0WDyGau5LX/Ps59uY+9LXlpUZeQel2yvJWEeNGDGCZcuWMXToUC655BKGDRvGNddcw2mnncbixYvp1atXm5/Nzc0lIyPDwtp2f9JNKYxxu908+uijANxwww1JP2bAanL+zbMyBvM+3sxTn2wFwGZTXDKxKG5lRWrw+PhsU2Cer92H6i0pE5onYI3tJGPJfB20nKS1peLi4iPuA7Bo0aJ231+5cmW77/v9fvbv3w9AQUFBwnXbWiH5fmKRUOrq6qirqzvyjiIu5PybZ0UMtNa8v3pf+PXy7QfjWl6k1bsrw88H56dbVm6jt6llzOtvv2VMrgPz/H4//iPEqSeTZEwIIXq49fuq2VHRlGys3VNlWdll1Y3h5zUWLksU2RoWxfKUQhglyZgQQvRwi7cEFnbul5MKNE+Q4u1ATVNZVfWxmSE+GpHdlMm8ALXoHiQZE0KIHu6bXYcAmDm6EICKOjc+i5qLIhM/t8/f7vitWGpsloxZUqQQnSbJmBBC9HCrdgXGbZ16VGCSTq3hUJ3bkrIjW8bAumkmIseM+SUbEwlOkjEhhOjBDtW52XagFoCJg/LITXcCUFHrae9jMVNZ37yc9iZgjSW3jBkT3YhMbSGMUUpRVFQUfi6sJeffPCtisHZvYLD+wF5p5Ka76JXh4lCdhwqLWsYiZ8KH5i1W8dR8AH/b2ZhcB4nB6XSaroJRkowJY5xOJ1dffbXpaiQtOf/mWRGDzftrADiqMAuAjOAyPXVua5KilndQen3WNFNFO2ZMrgPzbDZbq+tcJhPpphRCiB5sU2kgGRsRTMZCC0lbNQt/TYuWMa9FfYbuKFvGhEgEkowJIUQPtrG0GoARBZkApLpCyZg1Y7dadlMeaQLWWGk+gN+SIoXoNEnGhDEej4dHHnmERx55BI/HmsHEoomcf/OsiEGom3JkuGUs8Ge/3qqWMVPdlJ7oWsaS/TqYPXs2SimUUjidToYMGcJtt91GQ0NDs/127tzJnDlzKCoqwuVyUVxczA033EB5eXmrx7v22msPK2vu3LkopZg9e3az7X6/n9LSUkpLS+M6C/+nn37KeeedR1FREUop3nrrrVb3mzdvHoMHDyY1NZUpU6awdOnSuNUpRJIxYYzWmsrKSiorK2VSRgPk/JsX7xiU1zRSXutGKRjWJ9gyZmE3pd+vw8lYiiPwdWPV/GaNvugmfZXrAM4880z27t3L1q1befjhh3nqqae46667wu9v3bqVSZMmsWnTJl555RU2b97Mk08+ycKFC5k2bRoVFRXNjjdw4EBeffVV6uub1iJtaGjg5ZdfZtCgQa3Wwefz4fO1/jvp9cZm5Yba2lrGjRvHvHnz2tzntdde4+abb+auu+7i66+/Zty4ccyaNSu8dma8SDImhBA91KZgq9iAvDTSgt2TTWPG4t9dWOtu+hLNSw8swG1FN6XWuvmYseRd8jAqKSkp9O3bl4EDB3LBBRcwY8YMPvroo/D7c+fOxeVy8eGHH3LKKacwaNAgzjrrLBYsWMDu3bv5xS9+0ex4EydOZODAgbz55pvhbW+++SaDBg1iwoQJ7dalpKQEpRSvv/46J598MikpKbzzzjsx+TnPOuss7rnnHi688MI293nooYe4+uqrueqqqxg9ejRPPvkk6enpPPvsszGpQ1skGRNCiB5qU3C82MiCrPA2K1vGQq1iTrsiPSVQrhXdlC1n+bd8AL/W4K498sNTF91+HXl08Wf99ttv+eKLL3C5AslzRUUF8+fP57rrriMtLa3Zvn379uWKK67gtddeO6xVcc6cOTz33HPh188++yxXXXXVEctftWoVAL///e/51a9+xZo1azj99NOb7XPfffeRmZnZ7mPHjh0d/tndbjfLly9nxowZ4W02m40ZM2awePHiDh+vI2RqCyGE6KFCLWPDCzPD20ItZFaMGQvdSZmZ4sBps66bsuUs/5Z3Pnrq4L6idnexAbnxKPvOPeDK6NBH3n33XTIzM/F6vTQ2NmKz2XjssccA2LRpE1prRo0a1epnR40axcGDBykrK6OgoCC8/Yc//CF33HEH27dvB+Dzzz/n1VdfZdGiRe3WZdWqVWRkZPDXv/6VwYMHt7rPtddeyyWXXNLucUJzx3XEgQMH8Pl8FBYWNtteWFjI+vXrO3y8jpBkTAgheqiNrbWMOYItY15/3L8BqoMtY5mpDuy2wISqVkxt0XKW/2QdCxat0047jSeeeILa2loefvhhHA4HF110UbN9OnoO+/TpwznnnMPzzz+P1ppzzjmH3r17H/Fzq1at4vzzz28zEQPo1asXvXr16lB9Ep0kY0II0UNtKQssgzS8ILJlLNBC1eD2xf0boKllzInDHkrG4j+Aq+Us/5ZPbeFMD7RQtcPv91NVXU12VhY2WwxHDDnTO/yRjIwMhg8fDgS6E8eNG8ef/vQnfvKTnzB8+HCUUqxbt67VsVbr1q0jLy+v1Ulb58yZw/XXXw/Q7qD5SKtWreL2229vd5/77ruP++67r9191q5d2+bNAm3p3bs3drud0tLSZttLS0vp27dvh47VUd0qGVNK9Qf+FzgLSAc2A1dprZcF31fAb4CrCbQAfw78TGu9yUiFRbuUUuELWJYhsZ6cf/PiGYPaRi9l1YFFugf3buq2Cg3gt6SbMtgylpXiCCdhVowZc3dgzFhcYqDUkbsK/X5w+gL7xTIZ6yKbzcadd97JzTffzOWXX05+fj4zZ87k8ccf56abbmo2bmzfvn289NJLXHnlla2euzPPPBO3241SilmzZrVbrsPhoLq6mpKSkiMO8o9XN6XL5eK4445j4cKFXHDBBUAgaV64cGE4qYyXbpOMKaXyCCRXHxNIxsqAEcDBiN1uA/4L+DGwDfgtMF8pNVpr3XzSFGGc0+nkuuuuM12NpCXn37x4xmB7eR0AvTJc5KQ1rfvnsAe++K3oLgy3jKU6ws+tGDN2+AD+tveV6+BwF198Mbfeeivz5s3jlltu4bHHHuOEE05g1qxZ3HPPPQwZMoQ1a9Zw66230r9/f+69995Wj2O321m3bl34eVtsNhsFBQVs2LABu93O2LFj261fZ7spa2pq2Lx5c/h1SUkJq1evZuDAgeFu0Ztvvpkf//jHTJo0icmTJ/PII49QW1sb1c0HXdFtkjHgv4GdWuvIM7It9CTYKnYjcI/W+u3gtiuBUuAC4FXLaiqEEIaVlAe6KIvzm3dbWTl2q6ohMIlqZoqD+uBamB4DyZiMGesYh8PB9ddfz+9+9zt+9rOfMWLECJYtW8Zdd93FJZdcQkVFBX379uWCCy7grrvuajcxys7OjrrcVatWcdRRR5GamhqLH+Mwy5Yt47TTTgu//vnPfw7AlVdeyQsvvADApZdeSllZGb/61a/Yt28f48eP54MPPjhsUH+sdadk7HwCrVx/BU4BdgOPa62fCb4/BOgLLAh9QGtdqZT6EphGG8mYUioFSInYlAWBWZnjMRtz6JjJONNzopAYmCcxiL+t+wOD9wflpTU7z0oHuwuD46riGYOqOjcA6S4bKnhPo9frjXvc6xrczV77fP64lenxeNBa4/f7OzR7fChBDH3WlND8WS3rcNttt3HbbbeF3xs4cGCbc21Ffrat44WE5h5r7f3rrruO6667Lm7nY/r06c0mltVaU11dTVZWVrMyQ/WI1F6d/H4/Wms8Hs9hLYDR/t51p2RsKPAz4CHgPuB44P+UUm6t9QsEEjEItIRFKo14rzV3AHe13Pjhhx+Snt7xgZDRipxQL1n5/X42btwIwMiRI2M7iDUKyR4D0+cfJAbxjMG/t9gAG43lu3jvvZ3h7asPKMDO/gPlUBjfGHxTEqjD/t07OFALYGPFipXYd62IW5kA6w8FfsaQsgMHeO+991rdt6sxcDgc9O3bl5qaGtxu95E/0EJ1dXWHP9PTaK3Dyy+lpqZaPoa1qzFwu93U19fz6aefHrZaQF1dXVTH6E7JmA1YprW+M/h6hVLqGOBa4IUuHPd+AgleSBaw64wzzuhQ82q0PB4PH330ETNnzsTpdB75Az2Y2+3mm2++AeCMM84ITzIYbxKDAFPnHyQGIfGMwUt/+go4yIyp4zl7XL/wdvXtPv686RtycvOA8rjG4PO31sDe3Rw7aiTu7QfZWFnOuHHjOHt8xwdXd0TK+v2wbmX4dV6vfM4++/hW9+1qDBoaGti5cyeZmZkd6l6LbJVJ9htotNbhpZOys7MtOx+xikFDQwNpaWlMnz79sN+BqqqqqI7RnZKxvcDaFtvWAaHJUPYF/y0M7kvE65VtHVRr3Qg0hl6HAuJ0OuP6JRHv43cHkeM4TJyPZI+B6fNvstxEEc8Y7KgIfLkNL8xudlxX8Lmf+P+tqw3O95WT7sIebHFSNnvcY+4/bHEZ1WaZXY2Bz+dDKYXNZutQq1qo2yv02WQW2QVo5fmIVQxsNlt4ofWWvz/R/j51p9+Az4GjWmwbCWwPPt9GICELr5uglMoGpgDxXcdACCESSL3bx76qQLfP4BYD+B3BAfxW3NUYuoMyK9VJsFhLliY6fJ4xGcAvElt3ahl7GPhCKXUn8DowGbgm+EBrrZVSjwC/VEptomlqiz3AWyYqLIQQJmyvCNxJmZPmJDe9ebeb3W5hMtbYtBxSqNfBiryo5Qz8ViRjcsdm8opF7LtNMqa1/kopdSGBMV6/IpBs3ai1filit98BGcDTBCZ9/TdwpswxJoRIJiUHAoOGW7aKQVPLmJXzjGWlOixtGQutTemy23D7/HFdmzLUDVVXV3fYQtoiOYQG6Xel+73bJGMAWut3gXfbeV8TSNR+ZVmlhBAiwWwPzzF2+Czw9nA3ZfynUwi1jGVEtozFvdSmlrEUZyAZi2feabfbyc3NZf/+/QCkp6dHNRjc7/fjdrtpaGiQMWN+f/guRCvPR1djoLWmrq6O/fv3k5ub2+7EtkfSrZIx0bMopcjJyQk/F9aS829evGJQUt5ey1jgS8eKbspadzAZc9mNjBlLddqpbvC2240UixiE1i0MJWTRCN1BmJaWlvTXX+iuRgjMkm/l3ZSxiEFubm6X166UZEwY43Q6ufHGG01XI2nJ+TcvXjGIpmXMim7KBk9TUmQLftlZsWh3aG3KVOeRWztiEQOlFP369aOgoCDqST49Hg+ffvop06dPT+o7ik2KRQycTmeXWsRCJBkTQogeJrQuZeQC4SFW3U3p92sagt2FaS47oYYHKwa6h5ZDSnHYg2XGvUgg0GUZ7Rez3W7H6/WSmpoqyZghiRSD5O6oFkKIHqbB42NPZWCOsda6Ka1qGYtcHzLVabf2bspwMiZfcaJ7kJYxYYzH4+H5558HYPbs2cb/Z5Js5PybF48Y7KyoQ2vISnHQK+Pw2eTtFrWMhbooAVIdtohuSitbxgLJmG7ntgG5DsyTGEgyJgzSWrNnz57wc2EtOf/mxSMGocH7xb1bv6vPqm7K+mAy5rQrHHZbxAD+uBYLgDc4tYXTfuSWMbkOzJMYSDelEEL0KO0N3gfruikjB+8D4ZYxK75sQ4mmw57cdymK7kOSMSGE6EFKgslYa+PFwLqpLUItY2nBZCyUFlnRTRlKNEPrYSZpY4voRiQZE0KIHiR8J2VbLWN2q1rGQtNLBJMxCwfwhxJNp01axkT3IMmYEEL0IOGWsVamtQDrxow1tGgZs3TMWHB1gVCXrLSMiUQnyZgQQvQQbq+f3QcD01oUt9FNGXk3ZTyTlHp3aMxY4GvGyrspwy1jUQzgFyIRyN2Uwqj09Na/MIQ15PybF8sY7DxYh19DustOn8yUVvdxRHTdxXN1ygZv8wH8Vk762jRmLLpuSrkOzEv2GEgyJoxxuVzceuutpquRtOT8mxfrGETeSdnWWnuRCUo8uwxDLWNpLnNjxkJ3U7ZXpFwH5kkMpJtSCCF6jJIDbS8QHhK6mxLim4w1hNaHdBgYM+YLJmMygF90E5KMCSFED3GkOcagecuYL57JWIuWMRNjxpqmtpAR/CKxSTelMMbj8fDSSy8BcMUVVyTlEhgmyfk3L9YxCM2+P6R3ey1jFnVTeloO4A9styIx8vhDM/AfuWVMrgPzJAaSjAmDtNZs3749/FxYS86/ebGOQUkULWM2q1rGPC0H8IdaxuJXZoivAwP45TowT2Ig3ZRCCNEjeHx+dgWntWhrwtcQK+bfOmwG/lDLWLvD6WMjNGZMprYQ3YW0jAkhRA+w+2A9Pr8m1WmjICsFqvfBzqVgd8FRZzbb16bAF+f6tJyB35agLWNCJAJJxoQQogcId1H2ysD2zavw9nWggzOJXfEGjJgZ3lehAB3fecbanIHfinnGgmPGZAZ+0U1IG64QQvQAoTUpR+Qp+Oh/AolYen7gzUX3N8tImiZgjV99Ws7Ab2KeMbtNvuJE9yC/qUII0QOEWsbO5VOoLYO8wXDtvwPdlLuXQ/mW8L62NiaEjaW2ZuD3W9BP6T1s0ldpGhOJTZIxYZTT6UzK25gThZx/82IVg5IDgWRsQuXCwIZJP4HsIhgwOfB626Lwvk2D6ePnsLspsW78VngG/ijHjMl1YF6yx0DGjAljXC4Xd955p+lqJC05/+bFMgbby+sopIKCg18HNhzzvcC/Q0+B7f+GrZ/A8T8FrBlM3xicgT/F0fz//Fa0UTW1jB25vUGuA/MkBtIyJoQQ3Z7X52dHRR2n2leh0DDgeMgZEHhzyPTAvzuWhPe3oJcSdygZO2yh8PiXHWoZC036KgP4RaKTZEwIIbq5XQfr8fo1pzm+CWwYPqPpzb5jA//W7ofacoBwh2E8c5RQy5gr2DrVVKYV84wFypapLUR3Id2Uwhiv18vrr78O/P/2zju8zeu6/5+Dxb0kStTekjUtW7LlvS05VpwdZ9hpRrOapK3TNmnqJG12nTTjFzdxk9RJYyex04wmdlrLkeTYjveQrL33FvcGSaz7++MFQJAESBAE8ALE+TwPHwDv++Lei3v4gl+ec+658I53vAOXS38ds4nOv/2kywbHmrpxEOIqx25LYc2/sf+kpwyqZ0PbCWjcB2VXR6vwZ9Jj1BdO4C+KrqbMXF+DiXrGIntTDnOt3gf2ozZQMabYSCgU4tChQ9HnSnbR+befdNngSGMXi+UkFaYbPBUwbdXACyYvscRYwz6Yc3U0ZyyTPirfIM9YhGyEDAOjKPqq94H9qA3yOEwpIv8kIkZEvhtzrFhE7hORZhHpEpH/EZE6G4epKIqScY41dbPKYf0xY8ZqcA76P3vyEuuxYR8QEzLMQgJ/tM6YHaspozljmjSm5DZ5KcZE5FLgo8DOQaf+H/AG4HbgOmAa8Lvsjk5RFCW7HGvq5uKIGJt52dALJi22HpsOAjEFWDM4pmgCv2tgAn+mMcb0r6bUoq9KnpB3v6kiUg48BHwYaI05XgV8EPh7Y8yTxpitwAeAK0XkclsGqyiKkgWONXWzSiKesTVDL6iebT22nwL6tybKSgL/4NIWGfZSxZbr0AR+JV/Ix5yx+4DHjDFPiMjnY46vBtzAE5EDxpj9InISuAJ4iTiISBFQFHOoAsDv9+P3+9M99mibmWg734idA7/fH/1vPVv9FroN7Jr/2L7VBmO3gdcXwNdez9ziequdupUweF7Lp+IGTPsZAr6+AWHKTNggEAxFQ4UOE8Lv90dzgYKhUEbtHhGBABLefdMYk7BP/R6yn/Fsg2TbzisxJiLvAlYBl8Y5PQXwGWPaBh2vD59LxN3AFwYf3LRpE6WlpSmOdGQ2b96csbbzhWAwGH2+ceNGnE5nVvsvdBvYPf+gNkiHDU53w8WOwwB0Fk/jyadeGHqRCfEGnDhCfp589GH6+iaBVZEsIzboC0Lkz8tTf9pMkRMOn3IADk4cP8GGDcfS3me8vrdt2QI46erqZsOGDXGvt/s+KPR7AMa3Dbxeb1LX5Y0YE5GZwL3AWmNMbxqbvgf4TszrCuD0unXrqKysTGM3Fn6/n82bN7N27dqC3voBwOfzsWvXLgBuueUWPB5PVvpVG1jYNf+gNoiQDhts2HUe2ftbAMouuIH169fHvU6OTYf2k9x0ySJKD/fS5uvFQEZs0Or1wStPA/CG9a/D5XRw6E+H2Xj6KLNmz2b9+iVp7S+Wzl4/vPIUAFdcvoYf7t9KWVkZ69dfHfd6/R6yn/Fsg46OjqSuyxsxhhWGnAy8FuPCdALXishfA7cAHhGpHuQdqwPOJ2rUGNMH9EVeR9rO9D5Zhb4PF1hz8IUvDHFKZrX/QraB3fMfGYPaYGw2ONnayyViecYcsy/HkWg+q2dC+0lcXecQmQBYYcpM2MCI5elwOYSSYisLJOLtEIdk1Obi608aK/JY/Ygk7tPu+6DQ7wEY3zZItt18SuD/E7ACuCjmZwtWMn/kuR+4KfIGEbkAmAW8mM2BKoqiZIvjjZ0sc4TDfoPri8VSNdN6bDtJZJFhplLp+/xDk/ezlZIYWUkp0r8Hp6LkOnnjGTPGdAK7Y4+JSDfQbIzZHX79E+A7ItICdADfA140xsRN3lcURcl3uhqOUik9BB0enJMuSHxhdViMtZ/GIRdndEzR6vuuof/vZ7rkV7TGmEP698PMbJeKMmbyRowlyd8BIeB/sFZIbgQ+buuIlIQEAgF+//vfA/CWt7ylILfAsBOdf/sZqw2MMZS3WP+j+iYuocQ5TEikPFz/urshupoylCGVEq+sRaToa6aFUSA0un0p9T6wH7VBfoUph2CMud4Y88mY173GmE8YYyYYY8qMMW81xiTMF1PsJRQKsXfvXvbu3VuwW2DYic6//YzVBi3dPuYHjgDgnnHR8BeXT7Yeuxoyvh1S36CCr5C9MGUwpuBrfwmPxJ9U7wP7URvkuRhTFEUpZI41dbNMjgPgmn7R8BdHPGNdDf3CKENqzJeg4CtkPkw5mn0pFSVXUDGmKIqSpxxt7GKZ47j1YurK4S8um2Q9djXEbIeUGcESL2esv6fMqjHNGVPyERVjiqIoeUrjmWPUSgdBnDB52fAXRzxj/m5K6QEgUwGh/jClDaspg+oZU/IPFWOKoij5yvkdALSXzwd38fDXFpWD29pVZKJpt46NwzBlrGdMUfIFFWOKoih5SkXrXgB8k0bwikUIJ/FXh+tiZzeBPxwazXjOWHg1pVOIBEcz3aeijBUVY4qiKHlIMGSY1nMIgKIZSdYNK7PE2MSIGLPBM5ZpYldTKkq+UHjFPJScwe12c/fdd0efK9lF599+xmKDs209LA6vpKycO0zl/VjCnrEa2oBMesaGKfqa4XT62NWU/Qn8ifvU+8B+1AYqxhQbEZGsbk6tDETn337GYoOTZ85wlTQB4Jx2YXJvKrX2pKwMdQL21BnLtZwxvQ/sR22gYUpFUZS8pO3oawA0uaZCcVVybyoJizETFmNZDFNmrwJ/jGcsfExzxpRcRz1jim0EAgH+7//+D4DbbrutILfAsBOdf/sZiw1C56yVlK1Vi6lN9k0lNQBUmC4gu2HK7FXgt4Rgsp4xvQ/sR22gnjHFRkKhEDt27GDHjh0FuwWGnej8289YbFDeus9qY/Ly5N8UFWMdQObEmC9OnbEIGV9NOco6Y3of2I/aQMWYoihK3mGMYXqvtZKyfM7q5N842DOW4Y3C41Xgz3QC/4C9KbNUTkNRxoqKMUVRlDzjbHMr8zgDwKSFlyT/xrAYK890Ar8/LMbc2d8oXPemVPIRFWOKoih5xrmD23BJiDapxFMzI/k3hldTZjxMGQwn8Dvj/InJ1mpKp2Ro501FST8qxhRFUfIM74ltAJwrXjg6l9MAz5jJYJgynMDvtnc1paLkCyrGFEVR8gxXwy4AuicsHd0bw2LMSYjy8GbhmSBa2sJp72rKbPWpKGNFxZiiKEqeMaHzAADO6StH90Z3CbisDcWrpZtQphP43fFWU2avAn+2+lSUsVJ4xTyUnMHtdvOpT30q+lzJLjr/9pOKDUKBALP8R0FgwrxRrKSMUDIBOs9STSeGCaN/fxJEE/hjKvBHyLQsGu3elHof2I/aQMWYYiMiQllZmd3DKFh0/u0nFRucO76H6dJHj/Ewff6K0XdaUmOJMeke/XuTpC9OAr9kKWYYW2csmTw1vQ/sR22gYUpFUZS8ovHgqwCccM/FlYoXIZw3Vk1X5hL4/UMT+CNka29Kp0Nwd53BRSCzHSpKGlAxpthGIBDgscce47HHHiMQ0C/MbKPzbz+p2MB3JrwNUuXi1DotqQagWrrIVK3zeKUt+ou+ZpZIztjVbX9g8X9fwVdd/zWsANT7wH7UBirGFBsJhUJs2bKFLVu2FOwWGHai828/qdigtGUPAKYuhRAlRGuNVdOV2vuTwM6ir6Gw8nrbuW8D8C7X08Nfr/eB7agNVIwpiqLkD8YwvcfaBqlqbgrJ+9AfppQMhimH3Zsyw6spg7pyUsk/VIwpiqLkCe0Np6ihg6ARZi4Zmxirka4MbhRu5Yx54u5NmVmCccRepvfDVJSxomJMURQlTzh74BUATjpmUFlRlVojxdUAVNKdub0p420UnqU4ZShkcBLMSl+Kki5UjCmKouQJ3SdeA6ChbFHqjRRbIq5SvBkJUxpj+hP444QpM+2kCoQMVQws2+EIqThTchsVY4qiKHmCJ7wNUl/tstQbKa4EoBJvRnSRP9i/52Vs0deIYyzTIcOQMdRI54BjHnwZ7VNRxoqKMUVRlHzAGKZ37QagdO5lqbdTZHnGKjLkGYtsEg6DwpTp7yougaChjN4Bxzz4s9S7oqRG3lTgF5G7gbcCi4Ee4AXgM8aYAzHXFAPfBt4FFAEbgY8bY+qzP2JlJNxuN3fddVf0uZJddP7tZzQ28DadZKJpIWAczFpxReqdhj1jFXhTb2MYIpuEw8A6YxEyXfQ1ZAwlgzxhw4kxvQ/sR22QR2IMuA64D3gVa9z/CmwSkaXGmEiCwP8DXg/cDrQD3wd+B1yV/eEqIyEiVFdX2z2MgkXn335GY4Mzu55hIXDYMYfFEyam3mk4Z6ycHjDpr+kUSd73OB04YjbrjsQps1GBv0T6BhwbLkyp94H9qA3ySIwZY14X+1pE3g80AKuBZ0SkCvggcIcx5snwNR8A9onI5caYl7I8ZEVRlLTRc8z6CjtfsZwUa+9bFFmeMacY3KZvhItHT8QzNjh5v7+0RYbrjIUMxYM9Y0ZzxpTcJm/EWBwi67pbwo+rATfwROQCY8x+ETkJXAHEFWMiUoQV0oxQAeD3+/H7059nEGkzE23nG8FgkKeffhqA66+/HqfTOfwb0oTawMKu+Qe1QYTR2KC80VpJ6Zuyaozz5sKBEydBikPetNugu9cSeB6XDGg7FF7RGAqZjNo9EAxSwkCRWYQvYZ/6PWQ/49kGybadl2JMRBzAd4HnjTG7w4enAD5jTNugy+vD5xJxN/CFwQc3bdpEaWnp2AebgM2bN2es7XwhGAyya5e1Oszr9WZVDIDawO75B7VBsjZwhPys6zkEAie8ZWzYsGFM/d5ACZV0UWy8abfBqS4AFyG/b8A4d9cL4OT8+fNjHv9wnDjpYL4M8oT5uhP2afd9UOj3AIxvG3i9yeVm5qUYw8odWw5cnYa27gG+E/O6Aji9bt06Kisr09D8QPx+P5s3b2bt2rUFm6gYwefzRW/AW265BY/Hk5V+1QYWds0/qA0iJGuDzqMvU7TDT4sp5y2330lV6dhs1b67EvxdFId60m6DrSdaYderVJWXsX59/1d0x6un+fXRvdTV1bF+/cVp628wT/52FyUtA8VYuRvWr18f93r9HrKf8WyDjo6OpK7LOzEmIt8HbgOuNcacjjl1HvCISPUg71hd+FxcjDF90O/TjlSJdrvdGb1BMt1+PhC7R50d81HoNrB7/u3sN1dI1gYtB19iAnDAtZgrqsrG3G+Psxz8UGK8abdBMFwxqdjtHNCuK1xzTByOjNrcIBQPClO6CCbs0+77oNDvARjfNki23bypMyYW3wfeAtxojDk26JKtgB+4KeY9FwCzgBezNlBFUZQ0EzhhbYPUOmFlWtrrdViCrjiU/vIWiRL4I2RnNeVAz5iD9K8aVZR0kk+esfuAO4A3AZ0iEskDazfG9Bhj2kXkJ8B3RKQF6AC+B7yoKykVRclnJrRuB6BozhiKvcbQ6ywHMiPGIkVfixKspsz0fkjBkBmSwO/SvSqVHCefxNjHwo9PDzr+AeCB8PO/A0LA/xBT9DULY1MURckI/vZzTA7WEzLCrBXXpKXNXmfYM2Z60tJeLNFNwt2DxFiWSvAHzdDSFg4VY0qOkzdizBgz4q1sjOkFPhH+URRFyXvO7H6WOcARmcH8GVPT0mYkTFliMuEZ6y/6Gg87wpTODBS3VZR0kjdiTBl/uN1uPvaxj0WfK9lF599+krFB+yEr5fVs+XIWOtLjXupzVgBQHMqgZ8w1sDyBhAOVGdZiBEMmbgJ/IvQ+sB+1gYoxxUZEhMmTJ9s9jIJF599+krFBSb1V7DU47ZK09RsJU2bCM5YwgT9LYcp4e1M6CSS8Xu8D+1Eb5NFqSkVRlELDBP3M6NkPQO3i9G2x2+eyEvgzE6aMn8AfwWQ4ThkIxhNjmjOm5DbqGVNsIxgM8uyzzwJwzTXX2FIBvpDR+befkWxwdu8LTKeXNlPGouVp9Iw5Iqsp0x+mHHlvyswSNP0bhRuHGwn5cQ5T2kLvA/tRG6hnTLGRYDDIn//8Z/785z8TDOp/rtlG599+RrJBw05rm5YDJRdR7ElfLk1mPWMJcsaytJwyGDIUhT1jIY/1OYfzjOl9YD9qAxVjiqIoOUvJ6ecA6Jmejp3f+ukXYxlI4PfHL20RISurKaNizFqo4DSF+QdeyR9GFaYMb9B9HXANMBsoBRqBbcATxphTaR+hoihKARL09TC3ZzcAtReuTWvbfY6IGOtOa7sAvrBnY3Bpi2yFKUMxYcqQO+IZ09IWSm6TlGdMREpE5PPAKWADcCtQDQSBBcCXgGMiskFELs/QWBVFUQqGE9ufpgg/DaaGxctWpbXtfs9YL4TS6zVK5BnLVtHX2AT+qGdME/iVHCdZz9hBrP0dPwxsNsb4B18gIrOxtiv6bxH5mjHm/vQNU1EUpbBo3fMEAEfLVzHZld6EZp8zZrNxXxcUFaev7eBIRV8z6xsLmf46Y8nkjClKLpCsGFtnjNk33AXGmBPAPSLyLazNuRVFUZQUqTprrS7zz0rPFkixBJ3F9Bk3ReKHvg6oqE1b2/2escEJ/GnrYlhMMIBHLPFlwp4x1zB1xhQlF0gqTDmSEBt0rd8YcyT1ISmKohQ2Xc1nmec7CMCsy96Q9vZFoIMS60Vve1rbTrxReHbUmCvUG33e7xnTnDEltxl1nTERuTDBKQP0AieNMX0JrlGUKC6Xiw996EPR50p20fm3n0Q2OPLio6wUw0HHPBbNWZD2fgWh05QySTqQvo60th0JUyYu+prW7obgjvnzY9xWOHa4MKXeB/ajNkit6Ot2hl8Q4xeRXwEfDW/crShxcTgcTJ8+3e5hFCw6//aTyAbm4EYA6uuuZVEG+rU8Y6XWi970irFomHKwZyzsGDMZXk/pClh/doKuEozDqs023N6Ueh/Yj9ogtTpjbwEOAR8BLgr/fAQ4gJXA/0HgRuCraRmhoihKAREK+Jnf8TIAVRe+PiN9CNBpwmIsQ56xIXtThsm0Z8wT9gEYZzHGYfkbXFpnTMlxUvGMfQ64yxizMebYLhE5DXzFGLNGRLqBbwOfSscglfFJMBjkpZdeAuDyyy8vyC0w7ETn337i2eDwa39iEV5aTAWLV9+QkX5FoDPsGZOMecbsqcDvCoW3QnKXYJXGBBnGG6f3gf2oDVITYyuAE3GOnwifAyuUOTXFMSkFQjAY5IknrOX7l156aUHegHai828/8WzQ/trvADhUeTmXpXELpFgcInRkyDM28kbhae1uCJ5wzphxlWDCYswxwt6Ueh/Yi9ogtTDlfuCfRMQTOSAibuCfwucApgP1Yx+eoihK4WBCQWbVW3+UHMvekrmOYjxjaQ9TjrhReIZzxsKrKY2rBBzWH/XhxJii5AKpeMY+AfwBOC0iO8PHVgBO4Lbw63nAf4x9eIqiKIXDkW1Ps8A002VKWHbtmzLWT2Q1JYCkvbRFojBlWrtJiCfUCw4rTEkSYUpFyQVGLcaMMS+IyFzgTogu9PkN8LAxpjN8zc/TN0RFUZTCoOWVXwOwt/Iq1pSWZ6yfAasps+QZi5CtMCXu0qgY0zpjSq6TUkGPsOj6YZrHoiiKUrCYUJDZDVaI0rnszRnta+Bqys60tt3vGYtf9DXTPqqiqBgrBnGG+1YxpuQ2qeSMISJ/ISLPicjZ8J6UiMjfiUjm/OqKoijjmMNbn6DONNFlSlh6TQbzxbAS+DszUIE/FDIJi75mI0xpjIl6xsRdGu3UoWFKJccZtRgTkY8B3wEeB2qwcsUAWoFPpm1kiqIoBUTXq78EYHfNTZSUZS5ECZEwpVWdPp0V+CNCDBKHKTOpi4IhQwk+60VMzpgm8Cu5Tiphyr8BPmyMeURE/inm+BbgW+kZllIIuFwu3ve+90WfK9lF599+Ijbo7elixq9uAqBszV9kvN9MFX2NhCghTgJ/+DGTqykDIUOxxHjGoqspE/ep94H9qA1SE2NzgW1xjvdB+F8tRUkCh8PBnDlz7B5GwaLzbz8RG7z8u39nMb2ckmksu2xd5jsW6d8oPI05Y74YMeZ2DoxLZiNMGesZE08pkeDPcDljeh/Yj9ogtZyxY1hbIA3mdcC+MY1GURSlwDDGULbXClGen/tWHM6UUnlHhUOgw4TDlH4vBP1paTe24GuiivuZXE0ZCBlKsDxjDncJxqGrKZX8IBXP2HeA+0SkGMvzvEZE3g3cDXwonYNTxjfBYJCtW7cCsHr16oKsumwnOv/2EwwGeezRXzMl4KbXuFl4y0ez0q8gdEU8Y2BtFl42ccztJlpJGekVMruaMhgyFIslLMVTCia57ZD0PrAXtUFqdcZ+LCI9WBuBlwIPA2ex9qv87zSPTxnHBINBHn/8cQAuuuiigrwB7UTn336CwSDbdh0EuQmpmMyldbOy0q8IBHHSSxHF9EFfe1rEWH+NsaG/S9kIUwZCIevzAA5PKfSNvJpS7wP7URukXmfsIeAhESkFyo0xDekdlqIoyvinrel89Hn5VR/OWr8RXeSVUopNX9rKWwzvGbMwGYxTDllN6be8ZLqaUsl1xpScYIzxqhBTFEVJjQOP9+8aN//i67PWb8RL1S3hFZW96VlR6RtGjPWvpswcgWB/zpiWtlDyiaQ8YyKyjSTvIWPMqjGNKA2IyCeATwNTgB3A3xhjXrF3VIqiKP10d3Wy6NSveFLebx3I1uaNEE2u96Z5S6RIAn+8GmORPjOZwB8MGUokts5Yt9V3pvdgUpQxkqxn7BHg0fDPRmA+VimLp8M/veFjG9M9wNEiIu/EWmTwJWAVlhjbKCKTbR2YoihKDLsf+TY1pHdfyGSJ6D6vpLcKf4/PEmMlHntyfgIhQ3FsmNJh+Rt0NaWS6yTlGTPGfCnyXER+DPy7MeafY68RkS8BM9M7vJT4e+B+Y8xPAUTkr4DXA38JfH3wxSJSBBTFHKoA8Pv9+P3pWe4dS6TNTLSdb8TOgd/vT7gUPlP9FroN7Jr/2L4L1QZ9Xa1ccPjHA45l0wahcKV8bzhMGfS2EkqDLbp6LSFU7HIMsW0wGLD6NqGM2b3P56M0HKYMiIdgyPqcDkzCPvV7yH7Gsw2SbTuVBP7bgUviHP8FVhX+v0yhzbQgIh5gNXBP5JgxJiQiTwBXJHjb3cAXBh/ctGkTpaWlGRknwObNmzPWdr4QDAajzzdu3Jj1FTSFbgO75x8K1wZFB3/H6+jkgJkZTabKpg0OnhHAGc0ZO7RrKweaNoy53VfqrXY7WpvYsGFge7tbrXNtre1DzqWL093wtnCY8rmXt2K6G7gBcBBM2Kfd90Gh3gOxjGcbeL3epK5LRYz1AFcBhwYdvworXGkntVh7ZdYPOl4PLE7wnnuwwpoRKoDT69ato7KyMq2D62xv5dyRXew5eJRrb1xHzcQ6HAW4hDdCKBRiyZIlAMybNw+HI/PFLsH6T2Xz5s2sXbsWt9udlT5zEbvmHwrbBh3N5yjZZq2cPH/xXbzjgquB7NrgzHPH+MPJQ9GcsYWz6pi/dv2Y22166SQc3c/s6VNZv37lgHMlBxq5f/82qqurWL/+8jH3FY9dZ9opOWB5xq66YS1tx3fCaXCIYf36+J9Pv4fsZzzboKMjuVSEVMTYd4EfiMgqIJIUfxmWR+wrKbRnK8aYPogsv+lPMnW73Wk3ztl9L7L8T+9lGcARCBmhS0rpknK8jnJ6XRX43JUEPFUEi6qguBpHSTWusho8FZMomzCFytpp1NROxTlO9u+K3IB2kAkb5xt2zj8Upg2O/v4rXEofB5wLuPoNH8SZhYr7g3E7re+PiGfM6evCmQY7hFPGKC0aaldXpPaYSOZs7nBGc8bcJZU4XVY/ghm2T/0esp/xaoNk202l6OvXReQocBfwnvDhfcAHjDG/Hm17aaYJCAJ1g47XAeeHXp5dTChIAxMoN92USh8OMVTSTaXphmC9NfK+EZshaIRmqaTDUUOXu4a+ookESmoxZZNxVkymqHoKpTVTqJo0gwmTp+NyezL+2RRFGZnT+17h4vO/BYHuqz9nixCD2NIWkf0p05TA7w8n8LvjFH0lC6spAwGKxMpNw1WCEWscTqMJ/Epuk2rR118DdguvIRhjfCKyFbgJawUoIuIIv/6+jUMDYMV1b8V/5RvYsGEDN914A73d7XS3N9PT0URfZwv+rhYrkbanDeltw9nXjsvXTlGgk9JAO1WhNqpMJ04xTKSdiaF26DtuCbgEntCAcXBeJtLirsNbMgV/+XQcNbMorp1N9ZR51M6YT1lFdRZnoZ9gMMiuXbsAWLFiRUFWXbYTnf/sYkJBvL+/C5eE2FJ6Nauvf4vtNoiWtkhTnbFe/zCrKbOQkx3y9fS/cJcgjuQq8Ot9YC9qg+TrjInJZNnk9PId4EER2YIVRv0kUAb81M5BDaaouITyikpqp4xuAWrA76Ol8Rztzefwtpylt+08wc566GrE2dNIUV8zZf5WKoOt1Jh2XBJiCo1M8TeCf7cl2s4ObLOdMpqcdXQUTcFXOhVTM5viyQupmbmYKXMWU1ScmYUMwWCQRx99FIClS5cW5A1oJzr/2WXnH77HSt9euk0RU97x/xAR22wQScfojoqx9Ja2KI7jGYtgMln21R+TLO0qjhZ9HWlvSr0P7EVtkLxnbI+IfBn4nTHGl+giEVmIVVrihDFmSBmJbGCM+ZWITAK+jFX0dTvwOmPM4KT+vMTl9lA7bTa102aPeG0wEKCh/hQtZ4/Q3XAcf8tJpP0URd5zVPSdZ1KwgUq6qaKbquBR8B4FL1awN7w8I2SEc1JLU9EMvOWzMRMXUDZ9GZPmXUjd9HlIFpO+FSVfaT59kAXbrUXeW+Z9nOvmLLJ1PBEnVbQCf5qKvg4fprTI5L/1xmeJsV6KKHY4+sOUEhzubYpiO8mKsb8BvgH8h4hsxiphcRZr9WQNsBS4GliGFQ78QfqHmjzGmO+TA2FJu3G6XEyePpfJ0+cmvKazvYXms0dpP3+M3sbjhNpO4ek8SZX3JFMCZymXHqbSyNS+RujbBs3AQeAp6DIlnHXPpL1sHoGJiyideSHTL1iTlFBUlELBBAM0/+KDLKKXXa7lXPHuz9k9JBwZ2g6pX4wlrsCfUfxWmNInRRQDEhZjw3nGFCUXSLbo65+AS0TkauCdwJ3AbKAEy4+yDfgZ8JAxpjVDY1UyQEXVBCqqJsCSoaXjTChEU8MZGk/spfPsAYKNhyluP8KEnuNMC56jXHpYFDgI7Qeh/Y9wFPgzNFPFmeIFdNcswT19JZMWXMKMBReOmxWgijIadj38WS7s3UmXKabk9h/h8di/cm5ImLKvw3JZjVEw9SZRgT+jnrFwmNIn4UVL0b0pVYwpuc2o/joaY54DnsvQWJQcQxwOaqfMDOe13TLgnK+vlxNH99B8Yhd95/bhaTlIbfchZgRPM1Hamdi7Fc5thXO/gC3QYzyccs+htXIxTFlB1dxV1M1fGb9jRRknHH/pUS488iMAXln2eW68YLnNI7KIrqYkvJoy6INAr7WF0BiIeMbi5YxlY6NwAlapS5+EN1UJizHdDknJddRVoaSEp6iY2UtWM3vJ6gHHe7o7OXVgK61HtsL5nVS1H2CW/yil0md50VoOQssfYC/0Gjc4/gaAV//n20xefBWzl67BU1Rsx0dSlLTSemI3E//4MQCeqngjN9z+1zaPqJ+IMPJSjEGsMF5vR9rEWKln6J+WiADM6FqwSJjSERZjjpET+BUlF1AxpqSVkrIKFq26HlZdHz0WDAQ4dWwPDYe24Du9g9KWvUzrPUyVdEavufTAt/Ac+Dp9j7g54J5Pa80KXLMuZcrSq5k+d4kuFFDyir6OBvp+9jZq6Ga34wIu/vB/ZHXvzxEJj8WIA4oqrDBlXwdUDC7RODqiG4UPs5oykzj8XQD0ReqnhXPGHOoZU3IcFWNKxnG6XMxcuJKZCweGJRvOnuDSZzfT13CIvV0XM6dvH9XSxQWB/dC4Hxp/A1uhlQpOFi/GO+kiSudexqwVV1MzaapNn2b84HK5ePvb3x59rqSHYE875++7jdnB85xmEmXv/TXVlRVxr7XLBo6olwoorrKEWBrKW/TXGYuTwJ+FQmMSXk3Z5wjnwkmkzlhiMab3gf2oDVSMKTYyedps1r/zQ9HXJhTi9NG9nN/7HMFTr1Lduou5/iPUSCc1va/CqVfh1P3wDJyWqZytWE5g6mqqF13FvGVrKC7W8OZocDgcLFu2zO5hjCtCfd0c//6bmN93gBZTTsMbf8GqOXMSXm+XDQYIo6LwHrxpEGPD5ozFCsAM4fB3A+BzRDxjIyfw631gP2oDFWNKDiEOBzMWLGfGguXAXwHg6+3h4N5XaD34As5zW6nr2MNMc5YZ5hwzOs5Bx2Y4AD1/8LDbvZDWCStxzFzDtOXXMHv2fByOHAoNKeOaYE87J7/3BuZ7d9BpSth30wNctTozG2KPlagwAkxRhSXN0lBrzPYwZSAsxpyDw5SaM6bkNimJMRGZD3wAmA/cZYxpEJFbgZPGmD3pHKAyfgmFQuzbtw+wNol1xMkL8xSXsGjVdbDquuixjpYGTu56Bu+Rlyht3Mbsnr1UiJflgT3QsAcaHoatcNbUcrJ0Kd2TV1E+/wrmLr+CyROqsvb5cp1k5l9Jjr62c5z/4ZuY23uADlPKa9fcz/XXrh3xfXbZYMDKxuLwPZGWMKUVDoxX2qK/z8wJI2fEM+aMhCkjnrHEYUq9D+xHbZCCGBOR64DHgeeBa4HPAQ3ASuCDwNvTOUBl/BIIBPjtb38LwN13343Hk9yG5pUTJrP8urfDddavmgkFOX9sF/V7niN46hUmtO5kpv8406SJaT3PwIln4MR38f3JyT7HHBrKl9BNHbteq+aCCy+jrKQww5upzr8ykI6TO+l98O3MDtbTYsrZfeMDXH/dyEIM7LPBgJBhNEw5Ns9YIBjCFwyLsXiesSyEKZ0BK2fMHxFjjpHFmN4H9qM2SM0z9nXg88aY74jELIeDJ4HcWbutFAzicDJl/kVMmX9R9FjA287xPS/QdugFPOe2Mq1rF9V0sMQcYUnnEeuix39CzwYPe1zzaa1ejmPGKiZfcCVzFi0v2CRSZXQcf/In1D1zN5X0cdLUcf4ND3HtJZfaPawRiV3ZaUpqrCc9Y6vX3RvoFzzx64xlPmXAFRiYM2a06KuSJ6TyF2cFcEec4w1A7diGoyjpwVVaxZxLb4VLb7UOGEN3w1FO73mB7qMv4zq7hfmh45RJD8uC+6B5HzT/BnZAhynlRNEiOieuoGjWaiYvvJTpc5fgKMDNa5X4GJ+X/Q98giVnfwfAFsdKKt/zIGvmJd56LJcYGKastl70tIypzUi+mAgUuRKHmTIpi6KeMVeZdSCJMKWi5AKpiLE2YCpwbNDxi4EzYx2QomQEEcrq5nNB3Xz817yLDRs2sOTW19F09iBn9z6P7+RWKlt2MavvMJXiZYVvO5zbDud+Di9DtynilHsu7ZUXQN0yKuZczIzFl1BZNcHuT6Zkmfo9z+B/5G9Y4j9OyAiP176Paz/4DSpK8yfcPaDmWUn4d3isnrGYTcLj1VTLRtFXV1iMBcJhShHrT5x6xpRcJxUx9t/AN0Tkdqx/chwichXwLaz9KRUlPxAHtXNWUDtnRfRQMODnxIHXaDjwAubMNmra9jAzcIIy6WNxYD+07IeWR2Ef8DickToaSubTO2EpnukrmLRgNdPnLcWpXrRxR19XCwcf+hTLzv4OhxiaTBXbL/0m61//jtwq6JoEUc+YAVMaDlN6x+gZ8w+/kjIb2yG5g2Ex5hqYwK/bISm5Tipi7LPAfcApwAnsDT8+DHw1fUNTlOzjdLmZvewyZi+7LHos4Pdx4shumo68hv/sTkpa9jOl5zB1NDPd1DPdWw/eF+A0US/aGdds2svnEqhZQNGUxUyYs4Jpc5fiKSqy78MpKRHy+9jz2H1M23EvK0wrCDxdso5Z7/42N8+aZffwUiK2tAXF6ckZi4Qp4+WLZYuoGHNaYUoT/qC6HZKS64xajBljfMCHReTLWPlj5cA2Y8yhdA9OUXIBl9vD7MWrmL141YDj7c3nOXNgK50ntuGo30tN1wFm+i0v2qLgQWg/CO0b4TjwEviNk5OOKTSVzKG3aj7OyRdQNWsZU+dfSFX1RFs+m5KYUCDAzj/+hMmvfYcVofMAnGAap676V667+c155w2LxRHZDgmgJM2esThlLSAmNJpBXRQRY8GwZ0wcuh2Skh+kvGTMGHMKOCUiTmCFiNQYY8b2r5VSUDidTt70pjdFn+cbVROnUHXl6+HK10ePBQN+Th7ZTfOxnfSd34+r9RDV3ceY5j9FqfQxy5xhlvcMeJ+Hc8AO632N1FDvmUV32UxC1XNwT5pP1bSFTJ69lKqazAi1fJ//TNHS3Mi+Df/BnKMPcZGpB6CZKnbN+zCr3vp3zC4vT1tfdtkgVkea0kjOWHoS+BOGKTOvxfo9Y+7kw5R6H9iP2iC1OmPfBXYZY34SFmJ/Bq4EvCJymzHm6fQOURmvOJ1OLrroIruHkVacLjezLriYWRdcPOC4CYVoPHec+qM78Z7ZC02HKOs8wuS+k0yi1frxtYJvB7QyYHlMKxU0uqbSUTIDf+VsnBPnUTZ1IbUzFzFp6pyUV3mOx/lPlV6fn+0vbMK/7b9Z1baRq6QPgHbK2D37Ayx/66e5vqo67f3abQNj6E/gD/SCvwfcJSm1NVLOWDbwBHsACLkHrqYcLkxptw0UtQGk5hl7O/CL8PM3APOAxcBfAF8DrkrP0BRl/CAOB5Omz2PS9HnAmwec62xr5vyRnbSf3kug6Siu9hOU95xmkv8sE2mnhk5qAp3QeRA6sdYs77Te22vcNDgn0+6eTE/JVIKVM3BVz6C4dg7VU+cwafp8ikvT58kZTzS0dbPn1afw79vAsuZNXC6N1gmBE87ZNC59P8te92GuKou/yXc+I7FhSk85OFwQClihyqrpKbUZzRlLFKYMP2ZsNWUohDtkibFgpLRFNEypOWNKbpOKGKsFzoefrwd+bYw5KCL/BdyVtpEp455QKMThw4cBWLBgQUFugQFQUT2RitU3wOobhpzr7mil/uQB2s4cwtd4BGk9RmnXSSb4zlAXaqRY/MwKnYG+M9C3zSo8c3JgG61U0uycRGfRFHxlUzFVM3DVzKCoahodfidlVbWsuPAinOO40K0xhpPNXRze8xpdh5+n8vyLXOR7jRuky7pAwEsxhyfeQPmav2DemvXMzkJOmF33gMQ+E7HyxrobrVBlqmIs6hmL/xkyHqb0e6Oiq98zZnU6XJhSv4fsR22QmhirB5aKyDngdcDHwsdLgWC6BqaMfwKBAL/85S+Bwt0CYyTKKmuYt/xyWD50w+mA38eZU0doPXeYnsaTBFpP4uw8Q7H3PJW+80wKNlImvdTQQU2wA7xHwAuEHUA+XNwjfwvA/Edvo1vK6XDV0O2pxV88kVDpZKSiDk9VHSUTplFZO4OKCXWUV9YgOfpl6fUFONvWw7mGRtrPHqTv9C7czfuY2H2YZeYwN0l3/8UCXVLG6ZrLKbrwLcy58m1c6CnN6njtugeiCfwRZVQywRJjY0ji77U7TOmzbBsygnEN2ihcDCYUivt7q99D9qM2SE2M/RT4NVb6sQGeCB+/DNifpnEpijICLreH6fOWMH3ekrjnTShEe3sLzWeO0FF/jL7mk4TaTuHuOktpbz1F/v6NoYvETwWNTAk0QuCgJdoS/F0OGAedUk6XlNPjqqDXVYXfXUnQU4Fxl2OKKpCichwllbhKqnCVlON0l+AsKsXlKcFVVII4PfR6O2lpbsThdBEyEDKGYMhgDASNwRhDKGQIGfD19eDtaqO3uwNfdzs+bzuBnk5CvZ2YrkZc3nqK+5qoDTUxUxpYMGCntjACfRRxrnwZ/ulrqFv1eioXXMli5/j1CCZiiNMvksTvbU65zWgCf4IwZcQfl7Garz7Ly9lNMS5nOFfMETsWDVUquUsqpS2+KCK7gZnAb4wxfeFTQax9KxVFyQHE4aCqppaqmlpYftmQ8z6fD+65B4Bzdz5DT3s9Pa3n8LWdJ9R5HuluxNPTRKm/ifJAKzWhVsqkD5eELG+b6QA/1k/P6Mc3C+DAWD5hHGIcH52OKlrL5uGfuJjiGRcyadGlFE2/iDlOd5o7zT+GFGAtC+9kNxYx5h++zlh/mDJDoihGjDkd4c4k5hfChLBKYipK7pHSv4TGmN/GOfbg2IejKIodTJ29EI9n2YjX9fZ009HSRFd7Az3tTfR1NhPoaibQ3QZ9HYivE4e/G5e/C1egG0+wm6KgF7fx4TZ+PPThwY/H+PDI6LIaeiimx1GKz1mK31lGwFVK0F0OpRNwVk6lZOJ0KifNpLRuAVTPpqK4kvGXep8ehuRvlU22HrsbU24z2dWUmfOMWWHKblOMK44YM8EgokJcyVFSEmMiUgZch/XP7YDgrjHm39MwLkVRcpDikjKKp5cxefrsMbXj9/t59P/+l/W33oLblcQfSIeLEoeD1IouKEMZFDIsm2Q9jkGMjZQzlvHlEGEx5qUIZzhMOdQzpii5SSp1xi4GNmAl7JdhZZbUYmWZNAAqxhRFGRmHE5weSEaMKWnFMVgZRcKUY/GMjZAzJoMXDaSbPitPsJuSuJ4xFWNKLpPKkqj/B/wvUIOVKXI5MBvYCnwqfUNTFEVRMsGAOmMQ4xlrSrnNEXPGUm45SWLClE6JE6ZUMabkMKmEKS8CPmqMCYlIECgyxhwVkX8EHgR+l84BKuMXp9PJrbfeGn2uZBedf/uxywZDhFEawpQ9fkvs2F3awksRbld4g/DYUhYmfo6i3gf2ozZITYz5IVpBrwErb2wf0I61wlJRksLpdLJmzRq7h1Gw6Pzbj102iDiOQunMGRsxTGk9ZqwCv88KU3aZEiqiOWMxY0nQr94H9qM2SC1MuQ24NPz8z8CXReRO4LvA7jSNawAiMkdEfiIix0SkR0SOiMiXRMQz6LoLReRZEekVkVNhb52iKIoSg2NwobFIzlhvOwR8KbU50mpKYVBoNN1EPWPFuOMk8JuQ1iRXcpdUPGOfheiK8c8BPwN+ABwC/jJN4xrMYizh+FHgMLAcuB9rAcGnAESkEtiEVYT2r4AVwH+JSJsx5j8zNC5lDIRCIU6etPbumTVrVkFugWEnOv/2Y5sNBpe2KK7u35+yuzGlLZFGyhnLOJGcMYrwRIq+JpHAr/eB/agNUvCMGWO2GGOeCj9vMMa8zhhTaYxZbYzZkf4hgjHmj8aYDxhjNhljjhpj/gB8C3hrzGV3YpXZ+EtjzB5jzH9jrez8+0yMSRk7gUCABx98kAcffJBAIGD3cAoOnX/7scsGQ3LGHI7+WmNd9Sm1OfJqSusxc6spw0VfTUm/ZwwImkhMNr5nTO8D+1EbpFhnLEeoYuCGLVcAzxhjYn3sG4HPiEiNMaY1XiMiUgQUxRyqAKsOkt/vT/OQibaZibbzjdg58Pv90RVe2eq30G1g1/zH9q02sMcGoaAlTIzpH4OzvA5H51kCbacxk1eMus0ev/VH1C2huHaN/JE1xmTE7s6+ThxYFfiFoPUdHvATxIGTIH6/DxOnX/0esp/xbINk206lzlgdllfqJmAyg/7JMsZk3EctIguAv2FgKY0pwLFBl9bHnIsrxoC7gS8MPrhp0yZKSzO3afDmzZsz1na+EAz2/6e6cePGrK+iKXQb2D3/oDawywb72wRwYui3wRqvMBXY8+ITHD88evdVV48TEF56/lkOFw89f7obwEVPby8bNmxIffAJuPzMceoAryliy8sv0bQXvAF4Kw4gyNNPPomveOKQ99l9HxT6PQDj2wZerzep61LxjD2AtYLyK/RvFp4SIvJ14DMjXLbEGBPdgFxEpgN/xNoX8/5U+47hHuA7Ma8rgNPr1q2jsrIyDc0PxO/3s3nzZtauXYvbXdjFLn0+H7t27QLglltuwePxjPCO9KA2sLBr/kFtEMEuG1QdaeYH+7ZiIGoDx+NPwWuvsXx2LUuvXz+q9gLBEHe9+AQAt91yMxPKhn6Ovec6+ObOlyguLmb9+uvS8TEG4Hzw+9BpFX297pqrWTatko4eP6Gdlr/g+uuvxTVh6M4R+j1kP+PZBh0dHUldl4oYuxq4xhizPYX3DubbWOJuOI5GnojINOAp4AXgI4OuOw/UDTpWF3MuLuGNziObnUfdo263O6M3SKbbzwdil7jbMR+FbgO759/OfnMFu2zgdoW/+k1Mv9VW0r7TW49zlOPwxoRiaspLcLuGpiNHtr0ykJnP6bc8EN0UU1xkfSZXAELh4I3T4Yjbr933QaHfAzC+bZBsu6mIsVOkqZiyMaYRSKqwTdgj9hRWpf8PmKHllF8EviYibmNM5JthLXAgUb6YoihKIRL5Ah8Q1qiYaj12nBt1ex291ldukcuBJ44QiyVzG4VbCfxeUxRN4BeBUGSdmlbgV3KYVNaPfhL4uojMSe9QEhMWYk8DJ7HyxCaJyBQRmRJz2cOAD/iJiCwTkXcCdzEwBKkoiqLE+3e6Ivx12pkwkJCQrj4rOb+iOPH/9xnPyQ6vpuyiJFraAvo9YyrGlFwmKc+YiLQy8J+oMuCIiHixKvJHMcZMSN/woqwFFoR/Tg8eXrjfdhFZB9yH5T1rAr6sNcZyF6fTyc033xx9rmQXnX/7scsGcQuwVkyzHjtH7xnrF2OJQzL9YixTFfjDnrHYoq/EesYSb4ek94G9qA2SD1N+MpODGAljzAOMnFuGMWYncE2mx6OkB6fTyVVXXWX3MAoWnX/7scsGjng1vyrDYcqeFvB5wZP8avLOcJiyvGgYz1hEAGZCi/m8EOgFoM2U4XaG96ZkZM+Y3gf2ozZIUowZYx7M9EAURVGU7BC3jlNxNXgqrD0e20/DpEVJt9fZa3nGhhNjGcXbBECfcdPFwAUEGqZU8oGkc8ZExCEinxGR50XkVRH5uoiUZHJwyvgmFApx5swZzpw5QyikX5TZRufffuyygQzeDilysHqW9bzt5KjaG03OWEaClOENzpupAGRQzpj13CSYX70P7EdtMLoE/s8B/wp0AWewkuPvy8SglMIgEAjw4x//mB//+McFuwWGnej8249dNoi7mhJixNiJUbUX9YwNJ8YifWYiTtndDECzsWpD9q+mlBFXU+p9YD9qg9GJsfcCHzfG3GKMeTPwBuBOGbATq6IoipLrSCI1Vj3Temw/Nar2usJirHKYBP6MEg5TtphKHAJOR38YVsOUSj4wGiE1C4juYWGMeQLrVp6W7kEpiqIomSOSM5bYM5ZamHLYBP6shCkrB6yktPobfqNwRckFRiPGXEDvoGN+oLBLByuKouQZCcOUVWHP2CjFWKTo63BhSjK5mrLb8ow1m8oB+WICBE3ktXrGlNxlNEtfBHhARPpijhUDPxSR7sgBY8xb0zU4RVEUJf3EXU0JUDPHemw5Nqr2ImHK4RL4I2QmZ6w/TFnkHlinSsOUSj4wGjEWr7zFL9I1EEVRFCU79CfTDzoxcYH16G2CnlYoqUmqvdGEKTNCOGesiUqK3QMDPtEE/lCm9mFSlLGTtBgzxnwgkwNRFEVRskPC/K2icmuPys5z0HwUZqxOqr3OJDxjCUOj6SCcM9ZiKiiO8YyJaM6Ykh/YVKFPUayqy9ddd130uZJddP7txy4bOBIl8IPlHes8B82HkxZjbT0+AKpLPSNfnJGcsUhpi6ohnrHgCKUt9D6wH7WBijHFRpxOJ9dff73dwyhYdP7tx3YbxBNGE+fD8WctMZYkbd1WAn91yXB7U2YwThkOUzZTQZ0rfs6YGWZvSr0P7EVtMLrVlIqiKMo4YNgyE5G8saaDSbXlD4boDOeMDecZy1iY0tcNfi8Q8YzFhCkRDLqaUsl91DOm2IYxhsZGK9dj0qRJmf3PWRmCzr/92GUDYZh+Ji2xHhv2JdVWR48/+rzSjtWU4ZWUAUcRXoriJPBHcsbiizG9D+xHbaCeMcVG/H4/P/jBD/jBD36A3+8f+Q1KWtH5tx+7bDCsZ6xumfXYfAj8g0tLDqUtLMYqi124nIn/pGTs72tYjPV6agAZUtoimjOWQIzpfWA/agMVY4qiKAVHNIE/nhqrmAIlE6yE98b9I7bV5g3ni42QvB/xxqU9TBnOF/O6rTIcxYNyxozWGVPyABVjiqIoBcawnjGRfu9Y/Z4R22qPrqQcfjOWaJ/pVmPhshZeVzXAgDClSEyYUnPGlBxGxZiiKEqBMWLEcMoK6/H8zhHbag2vpKwaZiVlLCbdvrFwmLLTGfaMDanAHwlTap0xJXdRMaYoilJgjLhp97RV1uOZrSO2FckZS6rGWCYIhyk7HVUACeuMGQ1TKjmMijFFUZSCYwQ1Nj0sxs7thIBv2Jbavdb5GtvClJYYa4+IsYQ5Y7odkpK7qBhTFEUpMBwjecYmzLOS+IN9UL9r2LainrGkw5Rppv00AE2OWgCKBpe2MNaHFfWMKTmM1hlTbMPpdHLFFVdEnyvZRefffuyygQy3HZJ1Acy4BA5tgpMvw/TE2yI1dye3FVLGake1ngCg3jEZiJczFv6soUDct+t9YD9qAxVjio04nU7WrVtn9zAKFp1/+7HLBklVw599lSXGjj8LV3w84WWNHX0ATKooSqrPtLrGggHoOAPAWSYDoQFhSms15ch7U+p9YC9qAw1TKoqiFBySjBqbe431ePz5YVciNnZZYmzyCGIsQlpXU3acBhMEZxH1IStnbEiYMirGNGdMyV1UjCm2YYyhra2Ntra29G+RooyIzr/92GWDpAqwTlkJRVXQ1w5ntye8rKHDqtI/ubJ4+D4zEaUMhyipnkVPwPo0icKUiTxjeh/Yj9pAxZhiI36/n3vvvZd77723YLfAsBOdf/uxywYjlrYAcLpg/vXW84N/jHtJd1+Abp/lNRvJMxYVgOn8W9vWL8Z6/ZbYGrxR+EhiTO8D+1EbqBhTFEUpOJIKUwIsutV6PPh43NMNnVaIsszjpKwouRTktPo9Wo5ZjzVz6A1YorDYNfDPmomGKbXoq5K7qBhTFEUpMEZcTRlh4VoQB5zfBc1HhpyOhChHSt63+rQe0xqGiuydOekC+uJ4xiBmo3AtbaHkMCrGFEVRCoxkHWOU1cL8m6zn2x8acro/eX/4fLHYPtNKwz7rcdJiev1hz5h78GpK3ShcyX3yToyJSJGIbBcRIyIXDTp3oYg8KyK9InJKRP7RpmEqiqLkLKNKpr/4Tutx+y+HrKpsiJS1qExuJSWkMUzp74HW49bzyUtixNjg1ZRagV/JffJOjAH/BpwdfFBEKoFNwAlgNfBp4Isi8pHsDk9RFCW3ccgokukvWA/F1dB5Fo4+PeBUJGcsqbIW6dZETQcBAyU1mNJaesJirMSdYDsk3ShcyWHySoyJyK3AOuBTcU7fCXiAvzTG7DHG/Dfw78DfZ3GIiqIoOU/SYUoAVxGsuN16vvWBAacaOkeRM5buQGX9Xutx0hK6/SFC4Q9TUdy/LZOgOWNKfpA3FfhFpA64H3gz4I1zyRXAM8aY2F1tNwKfEZEaY0xrgnaLgNhvkgqwltpmYoltpM1CXb4bSzAYZNWqVdHn2ZoTtYGFXfMPaoMIdtkgEOjfGiipPi96L+5X78fs+18CZ3fBpMUA1LdbYmxiqWvEdoKB/vPp+JyOM6/hBIJTVtDS2QOA2yk4CeIPJ/MHgqFo0ddgMP53un4P2c94tkGybUs+FFgTa+nPBuB5Y8xXRWQOcAy42BizPXzNJuCYMeajMe9bCuwBlhpj9iVo+4vAFwYff/jhhyktLU3zJ1EURbGfDh/881brf/F7r4i/Z+NgLj32Paa1vcqZ6jVsmfvXAHx9h5NzXuFjS4Isrh7+b0mnHz6/xerzu5cHxlwE9poDX2KC9whbZ3+UV4uv4us7XJS5DP96aX84MmjAbL2ftzmf5bUp7+LU1PVj61RRRonX6+WOO+4AqDLGdCS6zlbPmIh8HfjMCJctwQpNVgD3ZGAY9wDfiXldAZxet24dlZWVae/M7/ezefNm1q5di9vtHvkNStpRG9iP2sBemrv6+Oetfwbg5ptvxuMZfpNvAOpnw4+vY1rbq6y/ZA5MXsoXdzwF+Hn9jVdzwZSK4fvs9vH5LU8DsH79rWPbOLyvE9f24wBc+Ia/ItBeATteYWJlKevXXxO9LBgy/O+WHwOwaMF8VlyXO2JM7wH7yYYNOjoS6q8B2B2m/DbwwAjXHAVuxApD9g26gbeIyEPGmPcB54G6Qe+NvD6fqHFjTB/QF3kdad/tdmf0Bsl0+/mAMQav14o4l5aWju3LOQUK3QZ2zz+oDeyygcfT78VyuZK0wYyLYOmbkb2P4P7jP+J772O0eq0QzNSashHb8LgH9ulwjOGzHttiFXGtmYO7dh7e5gYAKksGfhZHyERzxpwO4o7R7vug0O8BGN82SLZdW8WYMaYRaBzpOhH5W+DzMYemYeWDvRN4OXzsReBrIuI2xkSCtGuBA4nyxRR78fv9fOtb3wLg7rvvTu6/cyVt6Pzbj102iP1TN6pElXVfhcNPwKmX8L7wI2AOLodQUzq6cY85OeaY5dVj7rUAdPZaodaKoqF/+KKlLUKJt0PS+8Be1AZ5sprSGHPSGLM78gMcDJ86Yow5HX7+MOADfiIiy0TkncBdDAxBKoqiFDyxjodR5Q1Xz4SbvwhAxXNfY76cYVJFUVJerrT6Oo4/az3OiYgx6//viuKB/gUhdjuk3M+PVgqXvBBjyWCMacfKLZsLbMUKgX7ZGPOftg5MURQlx4gtMzFqiXLJB2HONTj93fyn+zvMKUtuAUDKAnAwnfVwbqf1fK6VHxb1jBUP4xnTvSmVHMbunLGUMMYcJ84/WsaYncA1Q96gKIqiRJGYf8NHrYscDnj7T+n63lXM7zvHP/d+EwLXW/XIkmRMPqq9j1otzLgUKqYAiT1joHXGlPxg3HjGFEVRlOQYkDOWipeqfBK/mPM1vKaIpd5X4TcfgODw9ZQGeOPGosZ2/9Z6XPbW6KGIZ6xycJhSYirwqxhTchgVY4qiKAVG7Gq1VHXRiz2z+ZD/Hwg6PHDgMfjlu6Cvc5hOU+wolvO74NTL4HDB8qFiLH6YUj1jSu6jYkxRFKXAGOgZS62Nky1eXggt58D1PwR3qbXK8qe3QsuxEd9rUpWAL95nPS55YzRECcOHKUO6N6WSB+RlzpgyPnA4HKxcuTL6XMkuOv/2Y5cNBiTTpyCMgiHD6VarLlTVheth/v/Bw++0PFc/ug7eeC8sffOAjgYm8Kcw6DNbYcd/W8+v+OsBpzoSeMZEJCaBP75nTO8D+1EbqBhTbMTlcvHmN7/Z7mEULDr/9mOXDRwxyiiUgjA629aDP2jwOB1MqSyG6tXwkafhN++H069aj4tuhfXftMphMMYoZSgEj38GMHDhu2DG6gGnO3qG84wNH6bU+8B+1AYaplQURSk4BoixFNTYyRbLKzZjQgnOSI2xqhnw/g1w7afB4YaDj8N9l8EL3wN/z9gG/Px3LZHnKY/WOYulqcsHwMTyocVCo56xsZeaVZSMoWJMsQ1jDD6fD5/PN7a6Q0pK6Pzbj102cMYUaQ2m0O+JZkuMzZ5QOvCEywM3fh7+6jmYeTn4u2HT5+HelXheuY9SeoFRhilf+zn86UvW85u/CJVTB5wOhgwt3daOdpPKh5bXiHrGEuSM6X1gP2oDDVMqNuL3+7nnHmvv90LdAsNOdP7txy4bxBbMT8UzdqKlG4DZE8viXzB5MXzgcdj+EPz5G9B+iqInv8DzReU8GrwSx6lqmHuFVbMsEQ37YPMX4NBG6/WVfwtrPjzkslavj5CxctImlA3jGUsQptT7wH7UBirGFEVRCg4RwSFWvlgwBUfEybBnbNZgz1gsDges+gtY+S7Y+StCz3ybmtajvN+1CX6+CSqnw7zrYdIFUHsBlE+GrnroOBtO1v+lJaAcLrjiE3DTF+N209RlecUmlHpwOYeKu5DR0hZK7qNiTFEUpQBxOoRQ0BBMxTMWCVNOHEaMRTtyw8XvoXfJ2/n4l7/FG5wv8dbS7UjHGctzNhxL3mCJsNoFCS9p7LTEWG2cECWAES36quQ+KsYURVEKECuJ3xAaZY6OMSaawJ+UGAsjDjdPhy7m6dDF3PK311F++llrj8nG/dB0ELzNUF4HldOsnxW3w6zLR2w34hmrrYgf2grpRuFKHqBiTFEUpQCJJPGP1jNW39FHV18Ap0OYOVyYchCxdcZwFcMFt1o/Y6Sp01pJmcgz1p8zltyG5opiB7qaUlEUpQCJlLcYrWds//kOAObWllHkcqbUdzpXzEU9YwnFmHrGlNxHxZiiKEoBEsl1D44ylerAeWv/yQumVKTcdzpl0Ug5Y/2eMd0OScldNEyp2IbD4WDp0qXR50p20fm3HzttEPWMjTJMGRFji+tGJ8YkHRuFx+F0m1VQdlp1cdzzEc+YJKgzpveB/agNVIwpNuJyubj99tvtHkbBovNvP3baIJozNuowZRo8Y2l0jZ0OLyZIlL8WJBxKTeAZ0/vAftQGGqZUFEUpSJwy+gT+QDDE4cYuYPRiTBiwO3la8AVCnOuwqvrPrEkkxoavwK8ouYCKMUVRlALEkcJqyuPN3fgCIUo9zoTiJxGZCFOeaevBGChxO6mNsy8lxHjGQrqaUsldNEyp2IbP5yv4LTDsROfffuy0gTMsjkYTpjxw3vKKLayriIq5VDBpco2dimxYXlOCJFB7Ec+YJAhT6n1gP2oD9YwpiqIUJM5wovRoEvgPhMtajDZ5H4gNUqYtZ+xU6/D5YqBhSiU/UDGmKIpSgERLW4xCGe0bQ/J+rOcqXfn7J5LYI1PDlEo+oGJMURSlAOkvbZH8e3aebgNgxYyqUfc30DOWHjl2qN4Shwsmlye8JjTCakpFyQVUjCmKohQgoy1tcb69l/qOPhwCy6ZVjrq/2Byz0ZbTSMTBeiuHbdEwYdOgaJhSyX1UjCmKohQgoy36uiPsFVtUV0GpJ7W1XxEBmA4t1tLt40y44OtwYdP+MKWKMSV3UTGmKIpSgIzWM7bjVBsAK2dUp95nCrXNEo4nLA7nTSqjqsSd8Lro3pSaM6bkMFraQrENh8PBwoULo8+V7KLzbz922sAR3ZsyOWG083Q7ACtnVqfcZySHPx1ibPvJNgAuGmE8kZwxSSDG9D6wH7WBijHFRlwuF3fccYfdwyhYdP7tx04bOEeRwB8Kmagn6sIUkvejfaYxTBkZz0hiLCiRBP74H1TvA/tRG2iYUlEUpSAZTZjyeHM3nb0BilyOMe1JGQ1TjlGNGWOSDptqmFLJB/JKjInI60XkZRHpEZFWEXlk0PlZIvKYiHhFpEFEviki6v1TFEUZxGgS+CNeqKXTKnE7U/+zka4w5YlmL61ePx6ng8VThxeHIYmEKf1j6lNRMkneCBUReRtwP/BZ4EmssS+POe8EHgPOA1cCU4GfAf7we5Qcw+fz8a1vfQuAT33qUwW5BYad6Pzbj502GI1n7NXjrQBcMrsmLX2Otc7Yc4ebACtEWeRyDnttIPJnLoFnTO8D+1Eb5IkYC3u37gU+bYz5ScypvTHP1wFLgZuNMfXAdhH5Z+AbIvJFY4wveyNWksXv1/9W7UTn337sssFoPGNbjrcAcMmcCWPqc7QrOBPxzMFGAK5dVDvitf5wcGQ4z5jeB/ZT6DbICzEGrAKmAyER2QZMAbZjibPd4WuuAHaFhViEjcAPgGXAtngNi0gRUBRzqAKsX4xM/HJE2iz0XzwYOAd+vz/hRr+Z6rfQbWDX/Mf2rTawzwaucLSxxxcY1g5tXn+0uOrK6RVjslnk0/X5Uv9+9QVCPH/E8oxdOa9mxHainrFg/D71e8h+xrMNkm07X8TYvPDjF4G/B44D/wA8LSKLjDEtWAKtftD7Iq+nDNP23cAXBh/ctGkTpaWJ9zsbK5s3b85Y2/lCMNhfhHHjxo04ncOHG9JNodvA7vkHtYGdNmhrdgAOduzeQ2XT7oTX7W4VwMnkYsPLf35iTH36fE5AePbZ5zieeAejYdnbKnT3Oal0G05sf55TO4a/vscPuCHY5+WPGzYMOW/3fVDo9wCMbxt4vd6krrNVjInI14HPjHDZEvoXGnzNGPM/4fd+ADgN3A78aAzDuAf4TszrCuD0unXrqKwc/ZYfI+H3+9m8eTNr167F7U5cqLAQ8Pl87Nq1C4Bbbrkla3kCagMLu+Yf1AYR7LTB5q4d7GipZ96CRay/dn7C6/ZsOgj7j3Pt0hmsX79sTH1+Y+8ztPt6ueLKq1IukfHM73cDZ3njqlnc9volI17/o22/AsDtMKxfv37Ief0esp/xbIOOjo6krrPbM/Zt4IERrjmKlYwPMTlixpg+ETkKzAofOg+sGfTeuphzcTHG9AF9kdcR96jb7c7oDZLp9vOB2CReO+aj0G1g9/zb2W+uYKcNSsJbGgWMDNvvayetYq9r5k0c8/gi+1OK05lSW73+IJv3NgBw28rpSbURECcYK2cs3vV23weFfg/A+LZBsu3aKsaMMY1A40jXichWLMF0AfBc+JgbmAOcCF/2IvA5EZlsjGkIH1sLdDAw0V9RFKXgKQonjfkCiau+9vqD0cr7l44xeR/Gvppy457zdPQGmF5dwpokxxMQd1iMBawKtwVa4V3Jbez2jCWFMaZDRH4IfElETmEJsE+HT/8m/LgJS3T9XET+EStP7KvAfWHvl5JjiAizZ8+OPleyi86//dhpg4gY6xtGjG072YYvGGJSRRFzJo49h7Z/b8rU3v/LV04C8LbVM6JetpEIxv6ZC/nBUTTgvN4H9qM2yBMxFubTQAD4OVACvAzcaIxpBTDGBEXkNqzVky8C3cCDwL/YM1xlJNxuN+9///vtHkbBovNvP3bawJOEGHvxaDMAV8ybmJY/kmMp+rr7TDsvHW3B5RDedenMpN8XiK37HfSDa6AY0/vAftQGeSTGjDF+4FPhn0TXnACGZmgqiqIoA4gUSx1OjL0UFmOXz5uYlj7HEqb8r+eOAbB+xVSmVZck/T4/MTk7QS03qeQmGjxXFEUpQPpzxoJxz/f6g2w/2QbAFfPTI8YcKe5NWd/Ryx92nAXgQ9fMHWWnToIm4pLTml5KbpI3njFl/OHz+bj33nsBuOuuuwpyCww70fm3HzttMFLO2GsnWvEFQ9RVpidfDGLE2CjDlD/88xECIcOlc2q4cISNwQcjYhV+deKP6xnT+8B+1AYqxhSbSbYgnpIZdP7txy4bjJQz9lKa88UgNkyZ/HvOtPXw0EtW4v7f3rRw1H0Kgg8XRQnEGOh9kAsUug00TKkoilKAjOQZe+FIevPFoL/O2Gg8Y9/70yF8wRCXzZ3A1QtG3otyMCLgJ1zRXcOUSo6iYkxRFKUAGU6MdfT62XaqDYCrUhBAiYhUowgl6Ro71tTNb7aeBuDTt1yQkodOAH90f0pN4FdyExVjiqIoBUh/mHJoAv9LR5oJhgxza8uYOSF9e/RG6owlK8a++8RBgiHDDRdM4pIUi86KSL8YC6lnTMlNVIwpiqIUIJHSFj7/UM/Ys4eaALhmYfq8YhAbphz52gPnO6MrKP9h3QVj6tdnIp4xFWNKbqJiTFEUpQAZLkz53GFLjKWSozUcowlTfnvTAYyB9SumsHx6apuKA7icMZ6xgG7GouQmuppSsQ0RYdq0adHnSnbR+bcfO22QSIydavFyrKkbp0PSVl8sQmQ15UhibPupNjbtrcch8PdrF42tTxF6CJdK8A9dsaf3gf2oDVSMKTbidrv58Ic/bPcwChadf/ux0waJxFjEK7ZqVjUVxe4h7xsLydYZ+/amAwC85eIZLJhcMaY+nQ6h24Qr9vd1DTmv94H9qA00TKkoilKQFLnji7FnDzUCcPWCSWnvs98zlvial4428+yhJtxO4ZM3j76uWLw+uym2Xvg6x9yeomQCFWOKoigFSP/elP2rKYMhw/OHrfpi1yxKb74Y9HvGQsOose89eQiAd1wyMy0rOV1OoYvEnjFFyQU0TKnYht/v57777gPgE5/4BG53ekMiyvDo/NuPnTYocVtizB80+AIhPC4HO0630d7jp7LYxYVjSJpPhCvsGfOH4i+n3HaylecPN+NyCB+7fn5a+nSK0G0inrGhYkzvA/tRG6gYU2zEGEN7e3v0uZJddP7tx04bVBS7EAwGob3Hz6SKIjbtqQfg2kWTcDnTHzgpDgvA3jjlNADue+owAG++eDozatJT38wKUyb2jOl9YD9qAw1TKoqiFCROh1AS3iWovceHMYZNe84DcMuyKRnpszicp9brH1podt+5Dp7Y14AIfDxNXjEAl8NBl9GcMSW3Uc+YoihKgVLuBm8QGjr6MAaONnXjcTq4/oL0J+9DrGdsqBiLeMVev2Iq8yaVp63PAQn8mjOm5CgqxhRFUQqUCUWGhl7hdFsPW0+0AnD1wtq0l7SIkEiMnWvvYcOucwB84oYFae3T6YhJ4I+TM6YouYCKMUVRlAKlpsh6PNvWw+a9Vr7YLcvqMtZfopyxX716ipCBy+ZOYMnUyrT2adUZU8+YktuoGFMURSlQaoutZOkHXzhOq9ePx+ng5iWZFGNWzlhPjGcsEAzxq1dPAXDHZbPS3qcrNoFfc8aUHEXFmGIbIsKkSZOiz5XsovNvP3bb4PLJhr09ZRxp7AbgjRdNY2J5Ucb6K3YNDVM+faCRc+291JS6ed3y9C8ccDikP4E/jmcskQ06Gk5xas9z9Jw7CF31SF8nIYebkLsU4yqF8kmUTFnIhBlLqJs5H49b/5ymit33QS6gvz2Kbbjdbj7+8Y/bPYyCRefffuy2QbkbfvORy/jnP+xj+6m2tK5ijEe8MOXDr5wE4O2rZ0QL0aYTl0Nop8x60dMy5HysDVobz3Hk8XuZfOIxZgVPsmykxveGmzUe9rrm01KzAplxCdMuvIE5cxcWrLAYLXbfB7mAijFFUZQCpqLYxX13rsIYk3HxMLi0xZm2Hp4+0ADAu9ekP0QJVs5Yg6m2XvS2g78H3CUDrvF2d7L7l59n+alfcon0ARAywlHnbJpL5uIvnQJF5UgogCPgxRHoobingZq+00wJnqNEfCwN7oOmfdD0a9gOx5nGqeo1OBbexJKr3siE6uqMfD5lfKBiTFEURcmKF6dk0GrKX71ykpCBK+ZNTGs5i1hcDqGDMvyOYtyhXmg/DbX9e14e3fkCzt9/iDXmDAgcci6gYekHWHT121hQN5WR1naaYID6E/uo3/c8/pNbqGnZzmzfYebIWea0PQKvPoL3lU/xSslqeuevZ8E1b2PalGkZ+axK/qJiTLENv9/P/fffD8CHP/zhgtwCw050/u2n0GwQCVP2+INW4v6WzCXuR3A4BBDaSucwqWs/NB2KirGDL/6ByX/8GA/LWwng5LJLLmLN+vey0JF8PXRxuqibt4K6eSuix3o7mjm09Y/07H+SaY1/pi7UyJreF2DPCwR2/wvbPStombmOTpmR7o+blxTafRAPFWOKbRhjaGxsjD5XsovOv/0Umg0mlHkAaOrq40/7G6jv6GNimSdjFf+hfz/M1tLZlhhr2AuL13PimV8w509/CyI0irUp+sXr7kBGIcQSUVw5kcU33Ak33AnGcP7Ay5x96bfUnt7MrMBxLvLvgKM7CBlh1zd+TPv8N7LwhvcwtUA9ZoV2H8RDxZiiKIqSFaZVW7laDZ19/OzF4wC8/ZIZeFyZ25nPGRZX5youZFHDRtj1W3qkhJlPfg6HGJ4vvg76MtY9iDBl8eVMWXw5AC2n9nHy+d9QfnQDC3z7WBnYBQd24dv/dV4tuQz/stu58MZ3Ul5WlsFBKbmG7k2pKIqiZIWJZR48TgfGwPOHmwF496WZC1FCv2dsT+2t4C6Fxn2U/OmzODD83vk6LvjoLzLa/2AmzFzCRe/6F2Z/+lkeXfRtXlv4Nxx3zcUjQS7tfYErt/4dgX9byPPffQ/bnt9IMBh/U3VlfKFiTFEURckKDocwe2Jp9PXNSyYzpzazHiBnWIx5HeVw+ccA6DMu7gncydz3/ZDKsuKM9j8sZZNY8Y4vMOfz2zl/55O8NuO9NMkEqqWbq9r+l4s3v4OzX1nCs//59xw5sNO+cSoZJ2/EmIgsEpFHRaRJRDpE5DkRuWHQNbNE5DER8YpIg4h8U0Q0FKsoipIj3L1+MS6H4HIIn3nd4oz3V+SKKadx07/wsWm/YVXfj+hY9TEumlWT8f6TZcrC1az60PeY+PlDHH7dQ2yb8Dq8FDGT81xz9ifM/+U17P3KZTz3y2/Q2HDO7uEqaSafhMr/AYeAG4Ee4JPA/4nIfGPMeRFxAo8B54ErganAzwA/8FlbRqwoiqIM4MbFdfz+41cRNIaFdRUZ76+yxFqZ19HrZ+uJVh4/6sflKM14gdtUEaeLBZffBpffhs/bya6nH8ax69cs9m5laXA/HPhX+vb/G1tKLyO04p2suP52SkpLR25YyWnyQoyJSC2wEPigMWZn+Ng/AR8HlmMJsHXAUuBmY0w9sF1E/hn4hoh80Rjjs2f0SiJEhKqqquhzJbvo/NtPodpgxYyqrPVVWWz9mevoCfC9Jw8B8NZV05k5wRIwuWwDT2kFK9Z/FNZ/lLb6kxx+8gEmHvk9cwNHuaTneXjledpe/izbJt5M5WXvYeklN+Fw5k3AK0ou2yBb5IUYA5qBA8B7ReQ1rLUvHwUagK3ha64AdoWFWISNwA+AZcC2eA2LSBEQuxlbBVh1T/x+fzo/A5F2Yx8LnU984hPR59maE7VBP3bMf2xfagO1QaYp81ji5NlDjXT7gjgdwkeumTPgc+fD91DZhKmsfPvdwN2cOLiF+ud+zrxzG6iVVq5seQQef4RTf5zKiWmvZ9o172Pm/CWZG3wGyAcbjKWPkZB8qekhIjOAR4BVQAhLiL3eGLMtfP4/gdnGmFti3lMKdAPrjTGPJ2j3i8AXBh9/+OGHKVXXr6IoSl6zr1X44f7+PS8vnRTiPQvGxwrFUChEsGEvk5teYLXvVcqkv0bHThZxqOJyglMuoai82r5BFjher5c77rgDoMoY05HoOlvFmIh8HfjMCJctwfKKPQK4ga9h5Yx9CHgjcKkx5twYxFg8z9jppqYmKisrU/pcw+H3+9m8eTNr164tyCrDuYDawH7UBvZTKDY4197Ltd96Jvp6011XMTfDKziTId3z39vdwYE//4rifb9hSc82nGL9bQ8ZYZ9nOe3zbmPeNe9kYp1W/Y+QjXugo6OD2tpaGEGM2R2m/DbwwAjXHMVK2r8NqIn5MB8XkbXA+4CvY+WNrRn03rrw4/lEjRtj+ogp+ReJV7vd7ox+QWW6/XzA7/fzwAMPAPD+978/6/NR6Dawe/5BbaA2yDyzat185c3L+edHdvPOS2ayaGr1gPN22yBd8++unsglb/o4vOnjNJ87wZGnHqT62GMs8u9nmd8qLBvc/3X2Fa2ke8HrmXvV7UyePjcNn2DsjBcbJGo7GWwVY8aYRqBxpOvCHi6wwpOxhOgvz/Ei8DkRmWyMaQgfWwt0AHvTMFwlzRhjOHv2bPS5kl10/u1HbZAd/uLy2dxwwSTqKofWFBuPNpg4dTYT7/gX4F9oOHWQY8/8kppj/8eiwEGW+7bD3u2w92scds6nZfqNTL70rcxednlatoJKhfFog9Fit2csWV4EWoEHReTLWGHKDwNzscpZAGzCEl0/F5F/BKYAXwXuC3u/FEVRlAJlRk1h5gBPnrmIyXd+AfgC547v58QzD1F9cjOL/PtZEDwCJ4/Ayftp+N1ETtVeQ+mKNzB/zXo8xYU5X3aRF2LMGNMkIq/Dyhd7Eit3bA/wJmPMjvA1QRG5DWv15ItYuWIPAv9iz6gVRVEUJXeYOmcxU+d8BfgKjfWnOPLc73Af2cTi7leZTDOTGx+BJx/B+6ci9pStpnfuWmZd8nqmz73A7qGPe/JCjAEYY7YAt4xwzQlgfXZGpCiKoij5yaS6mUx6213AXXR3d/HqC4/h2/MY89ueY4o0c7H3BdjzAuz5EmdkCmcnXIZr4Q3MXf06qidNtXv44468EWOKoiiKoqSfsrJyLl37Tlj7TkLBEIf3vETz1keoOvssC3z7mc55pjc/Cs2Pwktw2DmPhgmXUjT/KuZefCMT6mba/RHyHhVjiqIoiqIA4HA6WHDhlSy48EoAOttbOPTKRnoP/ImpLa8wN3SCBcGjLGg8Co2/gpfgjGMq5ypXEpx5OZOWXsvsRRfhdDpH6EmJRcWYYitaWNdedP7tR21gP2qDxFRUTWDV2nfD2ncD0Fx/klNb/oj/2PPUtmxndvAE00PnmN52Dtr+CLug3ZRxsmgRXbUrKZp9CVMuWMPUWQuHXa1Z6DZQMabYhsfj4dOf/rTdwyhYdP7tR21gP2qD0TGxbhYTX/8R4CMAtDY3cmz7U/QdfYHKxq3M69tPlXSzwrcNzm6Dsw/Ai9BBGac88+msXoJz2komLriEGQtX4ikqVhugYkxRFEVRlBSpmTiJmpveATe9A4Cg38fxA6/RuP95OLOVCR37mBk4QaV0s8y3Exp2QsOvYDsEjIMTzmk0l8ylr2Yh7qlLmTD7QqbNX05xif27JGQTFWOKoiiKoqQFp9vDnOWXM2f55dFjvr5ejhzYRvORLYTO7aSybR8z+w5TIT3MDp1mdvdp6H4WTgOvQtAIZx2TaPZMx1s+G1Mzl+K6RdTMuIC6OYvHpVBTMabYht/v56GHHgLgzjvvHNdbsuQiOv/2ozawH7VB5vEUFTP/wiuYf+EV0WMmFKL+7DEajuyg49RuXjvRjTPQy7vM75ggHUwzDUzra4C+bdAMHO5vr4lqWlyT6Sqeiq98BlIzi6LaOVRMmkXV5JlMmDQNR54tIFAxptiGMYYTJ05EnyvZReffftQG9qM2sAdxOKibMZ+6GfPx+W7jiXvuAUop+6dDNLU10nRiHx1nDxBsOoKn4zhV3pNMCZylXHqopY3aQBt0HYQuhuw+HTAOmqSaducEvJ6J9BVPIlRWh1ROwVM9jZIJU6maNIOKCblTL03FmKIoiqIoOYE4HNROmUntlJnAugHnTChEW0sDTWcO03n+CH1NJ6D9FEVdZ6joO09NsIka04FLQkymhcnBFug5bG2g2Bq/v+tMOa+2f5Ar3/vljH+24VAxpiiKoihKziMOB9W1U6iunQIrr457jd/XR1PjWdobT9PdfAZf61mCHedxdNfj6Wmk1NdEVaCFCaYVjwSoli7EYX9IU8WYoiiKoijjAreniMnT5zJ5+txhrzOhEI0NZ3jyj3/g+uvt30UxcQU2RVEURVGUcYg4HFRPnEJxzQwm1M2wezgqxhRFURRFUexEw5SKregycnvR+bcftYH9qA3sp9BtoGJMsQ2Px8NnP/tZu4dRsOj824/awH7UBvajNtAwpaIoiqIoiq2oGFMURVEURbERDVMqthEIBPj1r38NwDve8Q5cLv11zCY6//ajNrAftYH9qA1UjCk2EgqFOHToUPS5kl10/u1HbWA/agP7URtomFJRFEVRFMVWVIwpiqIoiqLYiIoxRVEURVEUG1ExpiiKoiiKYiMqxhRFURRFUWxEV1MmoKOjIyPt+v1+vF4vHR0dBb/9g8/no7e3F7Dm2+PxZKVftYGFXfMPaoMIagP70e8h+xnPNkhWS4gxJiMDyFdEZDpw2u5xKIqiKIoybphhjDmT6KSKsUGIiADTgE7gFWBNgkvjnUvmWAWW2JsR7iNbDPdZMtVGstePdp6HO6c2GP31I12jNhhbG2qD4ceRjTYyaYPRHI89Ztf8Dx5HttooZBtUAGfNMIJLw5SDCE/WGQARCRlj4voY451L5pil9QDoTNR2Jhjus2SqjWSvH+08D3dObTD660e6Rm0wtjbUBgMZbzYYzfHYY3bNf6KxZbqNArfBiG1rAv/w3DfKc8kes4N0jGO0bSR7/WjnebhzaoPRXz/SNWqDsbWhNhjIeLPBaI6rDcZ2zXiywQA0TJllRKQSaAeqsv3fkGKhNrAftYH9qA3sRefffnLJBuoZyz59wJfCj4o9qA3sR21gP2oDe9H5t5+csYF6xhRFURRFUWxEPWOKoiiKoig2omJMURRFURTFRlSMKYqiKIqi2IiKMUVRFEVRFBtRMaYoiqIoimIjKsZyGBH5vYi0ishv7R5LoSAit4nIARE5JCIfsns8hYj+3tuLiMwUkadFZK+I7BSR2+0eU6EhItUiskVEtovIbhH5sN1jKlREpFRETojItzLaj5a2yF1E5HqsPa3eZ4x5u72jGf+IiAvYC9yAVQhwK3ClMabZ1oEVGPp7by8iMhWoM8ZsF5EpWPfBImNMt81DKxhExAkUGWO8IlIG7AYu0e+i7CMiXwMWAKeMMZ/KVD/qGcthjDFPk/0NZAuZNcAeY8wZY0wX8DiwzuYxFRz6e28vxphzxpjt4efngSZggq2DKjCMMUFjjDf8sgiQ8I+SRURkIbAY629BRlExliIicq2I/K+InBURIyJvjnPNJ0TkuIj0isjLIjKaHe6VUZIGm0wjvEl8mDPA9AwPe1yh94X9pNMGIrIacBpjTmV63OOJdNggHKrcAZwGvmmMacrS8McFaboPvgXcnY3xqhhLnTJgB/CJeCdF5J3Ad7C2WlgVvnajiEyOuSaSDzD4Z1oWxj8eGbNNlDGjNrCftNhARCYAPwM+ktHRjk/GbANjTJsxZiUwF7hDROoyPurxxZhsICJvAg4aYw5mZbTGGP0Z4w9ggDcPOvYy8P2Y1w4sT8s/jbLt64Hf2v0Z8+0nFZsAVwK/jzn/XeAOuz9Lvv6M5b7Q33t7bYAVGnsG+Au7P0O+/6Tj7wPwH8Db7f4s+fqT4t+De4BTwHGsUH078C+ZGqN6xjKAiHiA1cATkWPGmFD49RV2jauQSdImrwDLRWS6iJQDtwIbsz3W8YreF/aTjA1ERIAHgCeNMT+3YZjjmiRtUCciFeHnVcC1wIHsj3Z8kowNjDF3G2NmGmPmAJ8C7jfGfDlTY3JlquECpxZwAvWDjtdjJQMmhYg8AawEykTkNHC7MebFtI2ysBjRJsaYgIj8A/AU1n9J/2Z09VI6Seq+0N/7jJKMDa4C3gnsjMmz+QtjzK6sjHD8k4wNZgP/GRbGAnxP5z+tpOVvdDpRMZbDGGNutnsMhYYx5g/AH+weRyGjv/f2Yox5Ds0nthVjzCvARXaPQ7EwxjyQ6T70hssMTUAQGJxwWQecz/5wFNQmuYDawH7UBvajNrCfnLOBirEMYIzxYRVKvClyTEQc4dcabrEBtYn9qA3sR21gP2oD+8lFG2iYMkXCCd4LYg7NFZGLgBZjzEmsJbMPisgWrMTwT2Ittf1plodaMKhN7EdtYD9qA/tRG9hP3tnA7iWn+fqDtfTexPl5IOaavwZOAH1Yy2gvs3vc4/lHbWL/j9rA/h+1gf0/agP7f/LNBro3paIoiqIoio1ozpiiKIqiKIqNqBhTFEVRFEWxERVjiqIoiqIoNqJiTFEURVEUxUZUjCmKoiiKotiIijFFURRFURQbUTGmKIqiKIpiIyrGFEVRFEVRbETFmKIoiqIoio2oGFMURbEJEfGIyGERuTJD7T8tIt9N8b21ItIgIjPSPCxFUQahYkxRlLQgIg+IiInzs2DkdxcsfwUcM8a8kM1OReQpEfnQcNcYY5qAnwFfys6oFKVwUTGmKEo6+SMwddDPscEXiYgny+PKOUREsDYq/skI17nT3O8E4Crgf5O4/KfAneH3KIqSIVSMKYqSTvqMMecH/QTD4bLvi8h3RaQJ2AggIstF5HER6RKRehH5uYjURhoTkTIR+Vn4/DkR+YfBobew9+3NsYMQkTYReX/M65ki8uvw8RYReVRE5sScf0BEHhGRT4X7aRaR+2KFkIgUicg3ROSUiPSFw4sfFIvDIvKpQWO4aATP4GpgPvBYzHvmhN/zThH5s4j0YomhiSLySxE5IyJeEdklIu8e1N+QuUrQ7+uB14wx9SJSIyIPiUijiPSIyCER+UDkQmPMHuAs8JYEbSmKkgZUjCmKki3eB/iwvDJ/JSLVwJPANuAS4HVAHfDrmPd8E7gOeBOwDrgeWDWaTsOCaiPQCVwT7r8L+OMgD90NWOLohvBY3x/+ifAz4N3A3wJLgI8CXcYYA/wX8AEG8gHgGWPM4QRDuwY4aIzpjHPu68C94X42AsXAViwhtRz4T+DnIrIm5j3JztUbgUfDz78CLAVuDff1MaBp0PWvhMeqKEqGcNk9AEVRxhW3iUhXzOvHjTG3h58fMsb8Y+SEiHwe2GaM+WzMsb8ETonIIiyPzAeB9xhj/hQ+/z7g9CjH9E6sfzw/FBZOhL0/bViCZVP4ulbgr40xQWC/iDwG3ATcHx7PO4C1xpgnwtcfjenjAeDLIrLGGPNKWADeAQzwlg1idvgzxuO7xpjfDTr2rZjn3xORW8JjekVEyklirkSkCEv0fjF8aBaWDbaEXx+PM5azwMXDfA5FUcaIijFFUdLJU1jelQjdMc+3Drp2JXDDIPEWYT5QAniAlyMHjTEtInJglGNaCSwAOq00rSjF4X4i7AkLsQjngBXh5xcBQeDP8TowxpwNi7e/xPIkvQEoAn4zzLhKgN4E57bEvhARJ/BZLPE1HWteigBv+JL5JDdXNwIN4fAjwA+A/xGRVVii9JE4iwl6gNJhPoeiKGNExZiiKOmke5iwXPeg1+VYSeSfiXPtOSwBlQwGkEHHYpPey7GE4J1x3tsY89wfp91IKkdPEuP4MVbo8O+wQpS/MsZ4h7m+iX6xN5jBc/Vp4C7gk8Cu8PnvYgmw0fBG4A+RF8aYx0VkNrAeWAv8SUTuM8bEevQmMHCeFEVJM5ozpiiKXbwGLAOOG2MOD/rpBo5gCaTLIm8QkRpg0aB2GrFWbUauWchAT85rwEIsj9DgftqTHOsurO/L64a5ZgOWSPoYVijwv0ZocxuwWAa56xJwFfCoMeYXxpgdWCHS2HkYca7C/byB/nwxAIwxjcaYB40x78ESex8Z1Pfy8FgVRckQKsYURbGL+7C8Lr8UkUtFZL6I3CIiPxURpzGmC6vswzdF5EYRWY6VmxUa1M6TwF+LyMUicgnwQwZ6uR7C8kI9KiLXiMhcEbleRP5dkixoaow5DjwI/JeIvDmmjXfEXBMMj+8erPy4F0do9iksr92yJIZwCFgrIleKyBLgR1iLHSJ9JzNXq7FE6nORAyLyZRF5k4gsEJFlwG3AvpjzpeH3bUJRlIyhYkxRFFswxpzF8vg4sf7Y78IKvbXRLyI+DTyLFc58AktIDM49+wfgVPi6h7ES3aPhwXCo8FrgJPA7LLHxE6ycsY5RDPljwG+B/wD2A/cDZYOu+QlW6PCnIzVmjGkGfk/88Olgvorl4dsIPA2cBx4ZdM1Ic/UmYIMxJhBzzIclHncCz2Dlxb1r0HtOGmOeTWKMiqKkiIQXFymKouQFIvI0sN0Y80mbhzIEEbkG+BMw0xhTn8T1FwKbgflh71Ymx7YT+Kox5tcjXtz/npeAfzfGPJy5kSmKop4xRVGUMRIuCDsDq2TEb5IRYgDGmJ1YCxjmZnB4kR0P/gd4fBTvqcXyJP4yU+NSFMVCPWOKouQVuegZE6va/0+A7cAbjTFnbB2Qoih5hYoxRVEURVEUG9EwpaIoiqIoio2oGFMURVEURbERFWOKoiiKoig2omJMURRFURTFRlSMKYqiKIqi2IiKMUVRFEVRFBtRMaYoiqIoimIjKsYURVEURVFs5P8Dd23/MAqIeKkAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 600x800 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(2, 1, **bode_plot_opts)\n",
    "fom.transfer_function.bode_plot(w, ax=ax, label='FOM')\n",
    "rom_bhi.transfer_function.bode_plot(w, ax=ax, label=f'ROM $r = {rom_bhi.order}$')\n",
    "for a in ax.flat:\n",
    "    for f in freq:\n",
    "        a.axvline(f, color='gray', linestyle='--')\n",
    "    _ = a.legend()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7882427d",
   "metadata": {},
   "source": [
    "The error plot shows interpolation more clearly."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "9c9bcc8b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "err = fom - rom_bhi\n",
    "err.transfer_function.mag_plot(w, label=f'Error $r = {rom_bhi.order}$')\n",
    "for f in freq:\n",
    "    ax.axvline(f, color='gray', linestyle='--')\n",
    "_ = ax.legend()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4932c246",
   "metadata": {},
   "source": [
    "We can check stability of the system."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "4a16ed60",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Maximum real part: -1.0071270631815525\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "poles = rom_bhi.poles()\n",
    "ax.plot(poles.real, poles.imag, '.', label=f'ROM $r = {rom.order}$')\n",
    "_ = ax.legend()\n",
    "print(f'Maximum real part: {poles.real.max()}')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9be0787a",
   "metadata": {},
   "source": [
    "In this case, the ROM is asymptotically stable."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "abf23654",
   "metadata": {},
   "source": [
    "Download the code:\n",
    "{download}`tutorial_interpolation.md`,\n",
    "{nb-download}`tutorial_interpolation.ipynb`."
   ]
  }
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