{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "8dccec65",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "7dd8d98d",
   "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": "f18d01df",
   "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": "f1c46e2c",
   "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": "88367715",
   "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": "6345892c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "f8df248e7c5e4725b83b0126baa51187",
       "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": "d130b573",
   "metadata": {},
   "source": [
    "We then use those to perform a Petrov-Galerkin projection."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "6f9f4f59",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "4c0e7e80ba5c4397b632e7a951f234ae",
       "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": "0e38aa4d",
   "metadata": {},
   "source": [
    "To compare, we first draw the Bode plots."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "0cf67ae4",
   "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": "3ae4df4f",
   "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": "7fc96c58",
   "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_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": "3ab93206",
   "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": "8820e647",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Maximum real part: -9.324900122511256\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": "d49bf89c",
   "metadata": {},
   "source": [
    "We see that they are all asymptotically stable."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a8080899",
   "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": "3c3b88a1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "6616011f715945c187c3fb00cba29363",
       "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": "36fda29c",
   "metadata": {},
   "source": [
    "Then, in the same way, compute the Petrov-Galerkin projection..."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "22ef6315",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "29853d7bd5734efca98b9a907ce849dc",
       "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": "e7cfd1ad",
   "metadata": {},
   "source": [
    "...and draw the Bode plot."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "9ba6e6f3",
   "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": "6818c452",
   "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": "5aa5476a",
   "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": "57d0a427",
   "metadata": {},
   "source": [
    "Checking stability using the poles of the ROMs."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "8dde0481",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Maximum real part: -1.0000026360387808\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": "4ef3c46c",
   "metadata": {},
   "source": [
    "The ROMs are again all asymptotically stable."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6d05b56e",
   "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": "69a33edc",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "f39e0e77da21498dad06fed1b1c7d5aa",
       "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": "885a6ad5",
   "metadata": {},
   "source": [
    "We perform a Petrov-Galerkin projection."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "be14d92d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "745e2af268624e5c910715a02a98abf3",
       "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": "a31bd91b",
   "metadata": {},
   "source": [
    "Then draw the Bode plots."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "ef8c0a9f",
   "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": "bc5bf9f6",
   "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": "7264b5da",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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CfDzBdD+fbJ8pXkOOEBHX8mVe2H/YuVcTK5Ppb2AzMjwQj2G7+AdXH0MxZXRgB0Dzf1zjic4hseTwDIkohxecfvCUgrvUfPSUgbtkeJvDVyDiFiDPfY5DbhcAtzZ7yXQ14wTuuCL5RjV0pF9lMB6h2O2b3XleB8kRFqRw/RUqZmkuisWHEkhzDO3Yw+xu+jY0zfZMFj4CcAFMS/05AUIDTQehFzxqZvuoNn2M/to1jDFBfyHGGMNqRzCuAB7Wdh3C28iYWzYN2RRGJkV3ZxuVZSVoMgvZlHnMSJuPmSSkY5CKQTpqClOAbBLiSYgPTO2/RLMXCKYy8NeAfwn4l1qP1r63wrw/84mzPybW/EsOLjNjjlY4yvKHVtnKWJqO02aHf3j12/z1Pb81W7O8bkZakBLNrbM0E8ViRAmkOYYsX0uPbxNl5WVowgoRmy7Xx3jPh7WNfH6d1yj8ch71hX2VL/NJCwJt6Pio/gWCZFibTiZr8PIrr3LbHXdhtztGC5gR/YddZ0zxoRiLbDrNgSee4KGHHkKzAorHRcoCwRQd/Zjbjw9CvB9i/QWPA0PPMwlTgEW6zG0iNBsU1ZhboYAK1ELJCihZblqn5gqnfwiPfowXPW7imoaRKmWVy0e+pKKrmg+ETvD5slJ+0vwf/G7s7VR6KmdzxlNmsP1Hw54nG8/N0kwUixElkOYYxs2f5JX+VZP7MlFcFzKdJujpgKqbQN3ruYEQYHeZm6d06uOkYsMFVLQXQu3W1ja0H+k0rV3BFnMbD2fAFEoly6F4uSWcVpj7xcvM+c4ER78FP/kfgOS75euACP7sbhzpeF4gGa5K3hOK8G1vJS2uOH/8/F/x9Yf+38zMb5pJxDoA6CyG6kHQu3pmdT6KxYUSSAqFYuHhsIK9A7UT98tmTAtTuKNAOLVBsM0UTAONEO2BZBA6T5rbWBTVFAin5cP3i2quz4VnGND4Ihx5GM48CkD99ndxJHgAKQV3L30TxqsPD3V3VmIz4G8HBvm1aj+Hel7kVM8ptlRsmfocZgnDqp7dVi6oHpTYY0mMWAzN45nlmSkWA0ogKRSKxYtug8BSc2Oc7KhUFAabYaDJFEyDTcP3UxFTYIU7oOW10edrdtPKlBNO/iXgLQdPObgCQ9l7mm66FzNJiPVC7yXouwQNL5rXspC3/C5fEH0QhEx4E++8ezvGN/8fA8Vr6a7YwU7NDZqb7Yl+PKHdxAPn+dtf/ivfedv8syLJtBkgGPRCzAmeJKTb23GuWTPLM1MsBpRAmmNc6YlyKSg40NCP3Wb+9wghzJAcq48Z7jKyTSAYCoUR1nHGaDPPE/ljhecVjiusRsHoc/LnjtFn6HqgaQKbJtA0gS4EumZtwmxTKOY8Di9UbjS3kUhpuvEGG00RM9BkCShrP9hixkL115vbVHH6Ycu7YNev82yqh1ee/z2k1KnIvJ2dy4q5Eo1ybPsfAlAyWM+yLXuh4QU+UbKMvzfOc2rgAA29IVaW+6c+h1lApM0MUrdNp8efYXmPEkiKmUMJpDnGv/+ykR+c1fny2cOzPZUZoVA85fcLRJRe8FwTYNM0qw/543Zdw2HTcFiP+efD2gQOXc/vO20aGpJzPQJ5qhO30z56jIJxXXYNp13HZTefCxWUrQDzV4G3zNyW7hp93MiabrtCy1Oky4yJinZDMjyUvWdkweYCmxNcfihbC+XrTGG29j5weOmKdvG5x38fgFTfnfzqrl0IIUjFhtYsy6QNWHE7NLzA+x29/GPcS1aL8uuP/JDHPvJ+Sr2OGbo514+WNLMjfUUl9AZ6Wd4jiTS1Mn8LFyjmE0ogzTEqfE6q3BKv15fPyJaQX1fJ3AdppVVLOTxbW0qZ72P2l1b/wn5DbWOeYz3PZ24XthVcv3AMCtoKzzGushxUxpBctdMNRee/Lo8TVzIOQoDLZooll13HZddx2jTcDn1Uu8uu4bQN7bvsOq5cX7tuHTPb3XYdj0PH7dDxOGx4HOa4SozNYzQdiuvMjTuua6hwKszvPPs7dMe7ySYr0IOv5317lwEQNIYsQ/Z0DJbfBoCt+RVu2fYQL3f8gs7UKT7wHwf4xof3UFk0Q0Hl10Ew3IEraX4ILlu+k1dDzwDQcvYi1bM7NcUiQQmkOcbvvX4N61MXeeih27AvgMyqnEjKGAaGAVkpyWal+WhYm5QYhiRjPTcKjxnD++b7FZyTzhqkMkb+MZWVI54PPaYLnifTWdo7uwiUlpHOSuu4HNY/lbH6ZrJ5HSclxNNZ4ukskL6h908Ihgknt13H7bDhGdFm7puiyuxjtnksIZYTXB6Hjs9pw+M0x1BuzvnB6d7TfPrFT9McbkY3/ERaPsxv7FtDsceBkUwSdC3J982kDdOapTsh2s0dJSt5uQNcvjbONIZ425d/yb9+YBdba4tn7wVNgkvNh/Faa9Wu2vg6nmwyBVLw0tFZnJViMaEEkuKGIoRAF6DPwUJ86XSaJ554goce2nNVMSqlJJ2VJDJZEuksiZQxtJ82rMcsiYy5n7Ta4+mCPlb/ZK5/ZujceDpLIpUlls4SS2VJZQzruhBLmW03Ao9Dx+u04c0/2vA6C/cLn5uPHofNElmW2MqJLocNh00t7zidZI0sXz/9db5y/CtkZAafXk7Xlffh1Sr5ndetBsAIhUg6h+o0ZTKGWXZg2c3Q8AKbwuYCr8XFXZRXeLnSE+UdX3mFT9y9ht9+3Wpc9rn3twlQ33ESf8L8VeIpr8AecAIJ9O5WDEMqca+44SiBpFBMAiEEDpvAYdPwu268ZS9rSOLpLLFUhrglkOLpbH4/lsqQSGfz4ml4n8yo/rmxYsks0VQmbw3LnT9d1WUcuobPZaMotznt+Jw6wV6NI4+fp9jjoMhlt47bh/q57PitR5dduRX7E/08dvkx/vvif9MSNusz3VZzL8+9fAdGysWfvn0jZT4nANlQiKzuzJ+bzVj/uesehIYXWN98BE3TGEj28diH1/H3T3Tw5OlO/unZS3zvUAufev1afmVXLTZ9bonbtsF6lphZ/uiBAEuWrwTO4Q/HefFSD69bPz+LXyrmD0ogKRRzEF0T+JympWa6kVKSSBtEkhliqYz1mDUfk1miyQzRVMZ6tJ6PbLeEVq5PzuKVyhr0R1P0R1MjrqpxsGdyK7HbNDGmgCpy2fBbjwG3Pb8VexwUe4aez1WLyEQkMgnO9Z/jSNcRjnQd4UDHAdKG6b4tchTxyW1/wNeeLCGZinH7mnJ+dW9d/txscByBtP5BePpPcDe9xqqtt3M51EBr9BJfef+d/OxkB5974hztwQR//Ogp/u3FK3z49pW8fcfSG/Kemwod0XZ8lotNLw6w+eZ3wT9/Fk8cvvbTp7hz7QeUFUlxQ5kbfwkKhWLGEEKYsUsOHXBetf9kSGcNYskskVSGSCJDOJEmnMgQSqQZjCY5fOI0S1esIZoy8sdyx8NW/0gyY8WrSQZiaQZiU4vvctk1it0OUzB57BS77RR77JR4HZR6HJR6h28lXgdFThtCCCtmziArs2RlFkMaw7aszOb7GNLAwMAwzMfcsZF9sjJLPBMnmo4STUcJJoP0J/rpS/TRFmmjKdREV7SLoTQIky3lW3jXundxc9U9fPw/T9PQM8iSgIu/e9fWYRa2bCg4TCBlcmsLlq6Cqi3QdYqNmpvLwNn+s9xVdxdv3raE+zZV8e0Dzfy/5y5zpTfK//fYaT7/xDnetmMp79i5lB11JbMqQLrjfbist4AeCLBr6bs55P0sgSisaH+Er710G7911+pZm59i4aME0hyj75//mRU/eoymf/kXhNCsdcGsekNCI1/ISBNmXSIhrD7C6nftfRBWP62gfayxcoudXm2s3Fw1gbDZEfbCzTbi+dCGLXfMMfyYw3q0TXCuYlax6xoBj0bAM/r/Ip1OU9x7iofuW4vdbidjZEhkEiSyCeKZuLmfMfcHE1EG4lGCiRjBRJRQKkYkGSeajhOztkQmQTKbIpXNkMpmSGczZIwMGSOLxEAIg5AwCGHQggFxAxIGYsAAsiAMc7P6jt6fHUpdpeyq2sWuql3srd7L2pK1/PJyL+/6lyO0DsQp9tj51kf2UhNwDzsv2z9AptCCZBSIms1vh65TbBrs4qfAub6htcxcdp2P3L6Sd++u5QeHW/mvA01c6Yny7QPNfPtAM9V+Fw9uruaNW2vYtWxmxZKUku5UzNwXoPl8CE0jXe2H+hC2bCP/8NRpNtT4uWtdxYzNS7G4UAJpjpHt68PR20u6t3e2pzJ/sNvRPB5z83rQPN6h5/l274g+HgyHE/flyyROnsTw+9E8HkSur2P+1Iq50aSNNJFUhEgqQjgdHvYYSUcIp4b2I+nIcNGTjRNPxwlGg3z+B58nkU2QMTJXv+hkEJifYNan2Ew51qQUgGYWRUVDCA0NDU1o6JqGbj3aND2/uXQXXrsXj91DsbOYUlcppa5SqrxVrPCvYJl/GSXOEoQQxFNZnj3fxV/84DVevWIGWNeWuPmPX9/DmsqiUfPJ9veRtQ2l7WfRkdksQtfhpnfAs59lY8c5qKnkbN/ZUecXuez8xu0r+fBtK3j1Sh8/ONzKz8920RlK8M1XGvnmK41UFjl5w+ZqHtpSw+4Vpeg3WCx19F1Aps1rGB5THAFUb7mVTP1TpEIaby7/Pr/5LQf/8K5tvHnbkomGUyimhBJIc4yG9e/k3P234/G4LUsMCCRW8WxyD6aF3TTJD1XUlvnHke1Dp0vzXJnra46PMIsaiYJzzT5yqE/+0TpXmmPJUf0kwirQpJFFGBk0mUEzMohsBs1Io2UziGwKkU2jZVKITMp8nk6hZZKQTqKlE5BKIjIJtGQCkUpAKgHpEa6XdBojGMQIBq/5ftcBrV/799EHCkWXx4Pu96MHAuZWHEDL7QeK822541pRUf4DfS5gWmYGGUgO5MXM1YROOBU2BU8qQiKbmJ6JjPhvEwhcNhdumxuX7sJlszbdahvrudXPrtmxaTZ0oaNrOrrQsWk2NKFhE7Z8m67pw56PPEcXOpmsIJwwCCcMQvEsoZjBYCzDQCxDfyRNXzRDXyRFbzhNXyRNKnttVia3Xae8yIHwOfH4nBguO3GnTr9DZwDByYxBKttGV+gKF7vCNPfH8vXENAHv37ecT79hw7ixQZnePjL6svxzQ3NgxGLoRUVQuhKW7GBDx3EE0BXroi/eR5m7bNQ4QghuXV3OravLSWayvHSxlydOdbD/bBfd4SQPv9rEw682UeV38mdv3MRbti0x//ZvQED9ucaf47Pedlpxcb69fNteOh97ihVd8NqtR1jdsJff/Y7BK/W9/PEbNhJwK2uyYvpQAmmOkcBFKuUilTKFxrUhRjzOEwqsAJNBswl0m4auC3RdYHcI7Haw6xK7bmATWWxksJHCZiSxZZPYMnG0VBRbKoqejKDHwohYkGhnK0W6QMZiGLEYMmlVJL4O0YUQ6H4/WnGBgCrcLDE1TGRZbUKf2A6SNtIEk0EGEgPmlhzIi5/B5CADiaHH3LHpEjhum5siexE+hw+fwze0b/dR5CjCZzfbPTbPMIFjkzYOv3aY++66D5/LlxdFds0+77LVpJSEEhl6I0l6w0l6Iylz39p6wsOf50o9tPTHaemPT/o6SwIufmVXLe/Zu4ylxe4J+2b6+sja1uefZ3UHRjRqCiSAze/E236M5VKnUWQ513+O25fePuGYTpvO6zdV8fpNVSQzWX55uZfHT3byzNlOukJJ/sd3jvGDwy0cax6k2GNnW20xd64r5851FaNcgFPhVPshimLm55+jpDjf7tpoLveyqkvS4LDzjqVfJdb6e3znIDx1upOP37Wa9+1bRtEMZJoqFj5KIM0xtt1TS1+2gX1796LrNrOCtsxVzJZDlbWNXCXtsY5LpPUjd+i4VeW6cH/EOIXHzWNWxe4xzs+dm6u4Peq4BENKjKwkmzEw0oZZIDJjYGQMshmDbEZaj+b+ULthnmedI0dU2jYyEiOTvUqJxpzqGmfVb4e1FYNu13C4dBwuGw6XbgouG6bY0g3sZHCQxJGNYU9HsCeC2GMD2MK9EBogGwySDQ5iDAYxYjGQ0moLkmZymVsAUhNk/R6Sfjdxv4OwVyfohT53lh5Xig5Hgk5XnEEvhDyQ1ScvLuyanWJnMX6Hf5TAGU/o5PaLHEV47V5s2tQ+LtLpNG16G8v8y+Z98VMhRD5bbnXFxAteSCmJprKWkMptKStb0MwclJBf2qbUY2dddRHrqooo900+eD7d20PaPiRKsrqDbCiEvdqqN73lXbD/L9gYDdHo83Ku7+oCqRCnTeeeDVXcs6GKZGYzn/j2MX5+rouXLplhAJFkhtaBOI+f6gBgQ3URd62r4K51FexaUYLTdu3Oz9MD9ZRErOtXVQ3NZf160DQCUYPiiORRn84Ha/+eYPjD/NfgZj735Hn+6dlLvHX7Et6/bzmblwau+doKRQ4lkOYYxdUeXGVZlq4vmfdfJtOFYRQKq0JRZZBNG6STWVKJLKl4hnQik99PJbKkEpn8/vBjGTIpU0Vm0wbxtEE8PJHk0gCftQ0tdGAL6LiX2nH77LiLHLi9Ok67xKGlEUaYdKKXVKyTVKSDTLiDbLAHGQwhwlFskQSuWAZfAnwJEIbENhjFNhjFC5Rf5b5EPRpxn4NUwE2m2IcsDaCVluKoqMBdUY23ain+6mWU1KzA5yudd9aa+Y4QQ6UaVpR7b9h1kp19yOVDnxVZ3Tnc8llUDWtez01dr/Kkz8u5/nNjjDI5nDadh7ZU8/NzXQDsWVHC7923jgNX+nnhYg8nWgc53xnmfGeYr754Ba9D575NVbx52xLuWFsxqUKiWSPLOSPIgxHzh5GtcigIW3O7caxaSepyPZ92vpE/4Qm+5XOwS/8Pvuuv498jH+Tn/RV852AL3znYwtpKH2/YUsNDW6pZX1Wk/gYU14QSSIo5j6YJNIcOjukNw00mUjzxsye56457kBkxWlTFh/bjkTSJSIp4JE08nCIeTmNkJZlklnAyS7hvPDdWibWZroG0liJRFiFeHSFhjxC3R0jZY9jc4LVn8ekZio0UZdkUxYks/oiBO5TCGYpjG4wgBkIYA4OQyeCNGXhjCehOAANAy6irR61N83rRy8uwV1Zhq6nGXlVtPlabm62mBr24WH2BzDOklMR7Q7B8qC2rO8mOdA1vfz8bf/oCAGd7z1zXNUsKFrvdt7IsH7f0e/etYyCa4qXLvbxwoYcXLvbQG0ny2PF2HjveTsBt5127avn1W1dQVzqOZRc4336AkAaVYVMg2SuHF4T07NhJ6nI9e/rL+as3/QmfO/wFjrhdfFx28/7MZ/jjlRs4KO/giy3ruNQNl569xD8/e4mlxW7uXFfO7WsquG1NGcUelYihmBglkBSLFk0XaHYoKnUNs9bFM3Hawm10h1tojbTSGm6lK9ZFd6w7H+SaNbI4si5caR/ujM98HLHvSvvwZv14M34cKQ+aoWM3HNhTpRSlSiec2wAQ89gIFjvxVTvxFjvxljjxFTvxBhy4bSlc2Qh6ZMDMYurrM4N1+3rJ9vWT6bP2e/uQqRRGNIoRjZJuGt/lJ5xObNVV2KuqsddUY6uuwV5dhS0noqqrlYiaY2QHB0kZwz/Gs5qTbDA0vOP6N7DhcVOUtEXbCSaDBJxTcz95HUPX87mGX7vE6+At25bwlm1LMAzJ8dZBfnqincdPdtAdTvLvLzfw9V828PqNVXzynjVjrgf36vkfAlBraTxbZSWXj3QTCyXZencdnr17GPzBD4gdOsQ7/ugPuXnZ6/jCLz/Ds52v8q1AEf8pW9mb+CZ/Wppgk30FjdkN/Lh/GUcHV/CdgzG+c7AFIWBrbTF3rCnntjXl7FhWPC8LjCpuLEogKRYdUkp64700DDRwLHWM5pPNdMQ6aLEEUW/86iUWdE2n2OunylNFlaeKSk9lfqv2VlPpqaTCXYHH7slfM53MEg+niUdSJKzHeHjIIhUNJokOJokMJEknsyRjGZKxDP3t0fHnYdfwFpfiK67BW+zEt8IUU74SJ0XF5r5LpDAG+sj29pLu6ibT1Um6ozP/mO7sJNvbi0wmSTc1TyyiXC7sVVXYamqsx2rs1TWmsLLatEBAiagZIt3cTMZ6j9ldOulElqzuJDM4YvEYmxP/lvdS1/YYLXY7Z/vOcsuSW6Z0Ta9zSEg4JlieRNMEO5eVsHNZCX/+xk28eLGHr/+ygZcu9fLM2S6eOdvF27Yv4c/ftGlYzNUvuw4B4A/bgTRJbzlPf+00ACu3VeDZvRuAxNmzZEMhlviX8H8f+Ddean2Jfzv6zxwfOM8Bt4sDbhcwSE3mZbY7kvxmKk1N1obMVNIbraGtvYaLbVU8/XwNnXo1G+squXllKXtWlrJzWQneOVJRXDF7LOp3gBDiTcA/YAaY/B8p5Rj53or5SigVojHYSGOoMf/YEGygNdw6PLPr9Ohzi+xF1BbVmpuvlmpvtSmGvKYYKnOVXdMCvEIIKwjcRqDi6lk+qXiGyIAlmAYTeeFkPjcf4+E02bRBqCdOqGf8DCkhwBMwxZK/bDmBig34N7gJVLipqPDgDTggkybd3U2mMyeaOsh0dpHu7DTbOjvJ9vUhEwlSTU2kmprGvZ7m82Gvq8NRW4u9rg59SQ2e9g5Smzdjq6tDqBpT00aqqYm03QwW95U4GeiIITWd9GBodOddH2LTle/TYrdzrv3glAWSp8CCNNl6SLomuHtDJXdvqORyd5ivPFfPo8faeOx4Oy9e6uVz79jCAzdVE0vHOJ4eAAGemDn2pXY3YEZsJ2NpimprcKxZTepyPZEXXyLwpjcCcEftHdxRewet4VaeanyKZ+p/yoVgAx02Gx0+G0/mZxMD6qnKXGB5OsOtmQyVmSzOsBPjSDFHXyvnucwSbIG1lNdtYtX6zexcU0upV71vFxuLViAJIWzAF4G7gSBwRAjxIyll3+zOTHEtpI00beG2USKoMdRIf6J/3PM0oVHtqcaVdLFt+TaWBZZRW1RLna+O2qLaKbsfpguH20ap20bpkvGDe7Npg2iwQDiNIahiwRSGIYlaoqq7cfQXp27X8JebgilQESBQUY1/1S2mgCpzoVtWAiOZJNPdTbqjwxJNXWQ6O0h3dpmCqqOT7MAARiRC8tw5kueGgoFrgeavfx00zYx7qqvDXleLo24ZjrpaHCtX4lixAs19/Snii4lkQwMpu5nO7y93M9BhVp9OBcOjO1duYKOnhqcJca7x57D7f07pmrYCUTSV6tprKov44nu286HbVvBH/32S851hfus/j/Bbd63iltUXyQioS2TwJMAQNi6cGfoxk05kASi6+x76LtcT+cWzeYGUo7aolo9u+Sgf3fJRoukop3pPcaL7BA2Dl2nuv0RjtI1wNkGXzUaXzcbBYWcngFagFafxGpWhLJWvZvnpSzpu6SFgL6eyqA6RcNDV6KG6djc2d8k13wPF/GDRCiRgL3BGStkGIIR4Ergf+M6szkoxCiklA8mBYdaghlADjcFGWsOtZOT4lZkr3ZUsDyxnhX+FuQXMxxpfDWThiSee4KF9D83LjMGcsPGXjy8qDEMSD6dMwdSfJNQXJ9gdJ9gbJ9gTJ9yXIJs2GOiIMtAx2pUnNEFRqZNAhRt/hYdAuZtAxUoCuzYRKHdjdw63ohmJBOn2dtItLaSaW0i3tpBsaqb//DlcwSAybh1vb4cDB0Zdz1ZTg3PlSlMwrVyJY+UKnCtXYquunlPFN+cKyYuXSDn8AHiLHQiySHSSwdiY/TeufSPUf4ezoUYwDHPZoGuk0GqkX4crdWttMT/55O184anz/PvLDXz1hSscbPw6eGBXjw5k6aneRSI69PedTloC6b7X0/e1rxH+xXNkg0H0wNg/aLx2LzfX3MzNNTfn26SUDCYHaQo10Rxupj3STneoha5gI92xLrqTg/QbSZKaRoum0ZL/bEgDHZDpABv84ysvo0lJZRZqdQ8rPJXUFa9iWcVm6pbspa50Xd7FrpifzFuBJIS4E/hDYBdQA7xdSvnYiD6fsPpUAyeA35VS5n4wLAHaCrq3AUtv8LQVE5DKpmgONZsiqMAS1BhsJJQaw2Vg4ba5We5fPkwA5R699vEtMOns1BZDnU9omsAbcOINOKlcPvp4NmsQ6U8Q7BkSTqEeUzyFeuJk0gah3gSh3gScGxh1vsfvsCxPbvzWY0l1BSW3LMd3lyme0uk0x554gje84Q1owSCpllbSrZaAamkh1dxMqqGB7OAgmY4OMh0dRF95Zdh1hNuNY8UKnCtX4FixEufaNTjXrcOxfDnCNm8/xq6b5PnzJL13Aeb/haZlyRo6qUhyzP6btn8Y6r9Dsw7hi49TtOHN13xNrUAUTRCCNCkcNo0/f9Mmdiwr4Y/++whtzgYAVg3UAY3EajYM65+yLEiuLVtwrltH8uJFgj/+CaUf/MCkrymEoMRVQomrhO2V28fsk8qm6I51m4kZg1do6jxLfdcluiIdDGaDhESCQZskKwSdNugkzuF4E8SboOM5OGmOU4aNZY5i6nxLqSvbQF3lVpYXr2JVYJUST/OA+fzJ4sUUPV8HHh15UAjxHkwX2seBA8CngKeFEOullN3XejEhhJPhS58Xgfnhnx659MV1kBtrOsecS+QCpBvDjTSFmmgMmY9N4Sbao+0YcuxlHASCam81y4tMIZQTRMuLllPpqUQTY39ST3QfF/q9niyeYjueYjs1a/3D2qWUxEIpQj0JQr1xQr2mkApbgikZyxALpYiFUnTUj0grF+Avd1FS7SVQ5SLWY6O7OUT5Ej/2LZuxb9k8qoRndmCAVGMj6cZGUg3WY2Mj6ZYWZDw+ym0HIBwOHKtX41i7Fse6daZoWrsWW/nopTQWGpmeHtJtbaS2mNYTh0dD17JkDYhHUmO+r73Ocmo0Fx1GgrNHvsbO1Q9e83Wz2SGLjjSMafn7uX9jOYlfMfjMMUlZJst9y24nTCOyaLj7Kh5N5q/nf9ev0PO//5b+734X33vfM62JAQJBlauKKlcVW0q3wKq35o+l02l+9tR+itfs4EjjBZpaXiMWPYvD1ol0DBK2J+iwCwZ1nT4y9KV6OdbfC/0n4NL38uMstftZ7V/JqoqtrC5Zx5riNaz0r8Shq1gnuLGfz5Mdc94KJCnlk2DG3Y3zh/H7wNeklN+w+nwceCPwG8DngXaGW4yWwgh39HD+BPjLkY3PPPMMHs/0/xLYv3//tI85k8SNOIPGIL1GLz1GD73ZXnqNXvqyfSQZ+9ctgBMn5Xo55Vo55Xo5FVoF5Xo5ZVoZdmE3QwQSQDf0Wf+ul/l+r2cMDagCZxVUAEYKMjFtxCbIRHSMtDCFVU8CTgG4+fGJkyAkNo+BvcjA5jOw+6x9r0H+z9jphA3rzQ0gm8Xe34+jpwdHTy+Onm4cnV04u7rQUqkxhVPG5yNZXU2quppkTTXJmhqSVVWwgKxNvpOnWALEfWadoIsNZxB2IAORwShPPPHEmOdVUEMHDZzrOsbAjx8haS++puua9VTN+3j61EncnSem/BoKeXrwqwDckzBoOtNMKRCSYtjKSSeOnuLKwFEANIeDVQ4H6StXeP5LXyK+Zs20zGMyOHWINxxjE7CpdisZYystUagPCToGBEY4xEbRQI3jMn5HK7qjl6Q9Qodd0Gi302fTaUuHaOs7wYt9Q/dPl4IqrYQqWx3V+hJq9Bqq9Wo82uK1Nt2Iz+dYbGwX9EgWzqdFAUIIB6br7XO5NimlIYT4OZBL3TgIbBZCLMUM0n4D8NcTDPs5TItUjiKg9f7778fv949zyrWTTqfZv38/991335yNi5FSEkqFaI+20x5tpyPaQUekI7/fHm0nko6Me74udJZ4lwxZgfzLWVFkPpa5ymYsRXw+3Ov5iJSSeDhtxTXF6G2L0Hi+AxIOUoksmahOJjo8dsnm0Cir9VFR56Pc2oqrPGgTLKciDYNMWxvJixdJXbxI8tIlUhcvkW5uxhaJYLt8Ge/ly/n+wuHAsWEDrs2bcW3ejHPLZuzLls3b2KaeU6cJAilXKUi4495beOrSqxAHDBsPPfTQmOe1n27n5MmvcN5p5wPlXRi3ve+artsfTfHnh58HYPv27Ty0reb6XgiQzCb53Pf+AoCHau+g8pydKOCtqKG/4DfQ6hVr2f3QivzznnPnCX73u6x55VVqP/nJGfm/nMznRtaQXOyKcKhpgMONAxxuGqAnkmQpvWzSmnjIdpFS1xV0Vzdt9iyX7XYuOeyEdJ122U97uh/SQ8Kp1l3FTRXbuan8JjaXbWZ9yXrctoWd0HAjP59DofFDNgpZkAIJc5UGHega0d4FbACQUmaEEP8LeA7zt/EXJspgk1ImYcj0kfsSt9vtN+TL9UaNezVi6Rh98T76En30xfvojffm9ztjnbRH2mmPtBPLXF2BlzhLTPFTEBe00r+SuqI67PrcESSzda8XMo4yB4EyLys2mx90TzxRzxvecBepqEF/e5T+jij97VH62qP0t0fIpAy6roToujL0wWWza5TX+aioK6JieREVy/yU1njQCgJfHKtW4Vm1Ch4cchUZsRjJ+nqSFy6QuHCR5MWLJM6dwwiFSJ48SfLkSXIOQc3vx715M64tW3Bv3YJry5ZRlZvnIlJKYi+9SNrmJiPNj/HiCi/CCppPGzpaMoXuGx2Dt6VyCwBnHQ704/+JfucfXFOwttMxtDai3aZPy9/Oi63PEsWgOpNh5/YP0/iNvwNAOs35u/0O4qEU6YQcdr3KT36C8E9/SvLMGeJPPUXgrW8dc/wbwUSfG3Zg67JSti4r5SN3mP9fTX0xDjb0c7Cxn8cb+2nqi0FIUit62Cqu8GvaFdZ4GjDsbVyxG1xwODjvcNBmt9Ea76K1+Wmebn4aAB2NtSVr2FyxlS3lW9hcvpnVgdXXVHpkvnAjPp8nO95CFUiTQkr5E+Ansz2PG0HGyBBJRQinw+ZjKkw4HSacGnrel7AEkCWIeuO9xDOTX3G83F3OEu8SlvisrWC/xlujghAVwxBC4Ctx4StxseymoRghw5AMdsboaQnT0xSmuzlEb0uEdDJL55UQnQWiSbdrlC31UbXCT/VqP9WrAhSVuoZZHTWPB/eWLbi3bMm3SSlJNzcTP3mK+KmTJE6dJnH2LEYoRPSVV4YFhduqq3Fv2Yx72zbcu3bhvummOVe7KXnxEummZhKlqwEzQNvu1BFO8z6k7R4yPd3ovpWjzt1QagY+N9ptxIIteK78Ata8ftLXnkpq/9V44sx/AfBgSiBq95FuNouVZm0uIEFRqYt4KEUikhp2nq28nLKP/xY9//BFuv7+7/Hefju2srkXfyaEYEW5lxXlXt69pw6ArlCCgw39HGrs52DDap7sCiNDIDBYKTrZIq7w665mbnI2EBZNnLVrnHI6OOV00muD8wMXOT9wkf+++N8AuHUXm8pvYkv5FraUb2Fn1U7K3Vdb0VExEQtVIPUCWaBqRHsV0Dnz05k8V4JXuJi+iLPFSYYMiUyCZDZJIpMgkU2QzCRJZBP557nj0XR0mBC6FqEzEpfuosxdRpm7jHJXufnoLqfCU8FS71JTAPlqcOqTX3FcoRgPTROULvFSusTL+n3mQsDSkAx2x+hpDtPdHKa3OUxPc5hUIkt3Y4juxhCnnjfP9wQc1KwKUL3a3CqWFeVrN+UQQuBYvhzH8uUE3vwm8xrpNMlLl4ifOm2KppOnSF6+TKazk3BnJ+H9PzfPdTpxb92Ke/cuPLt2496+fUzLzEwy+EPzSzGz9XYAiqvMHyOa3bTuZGxuMj09OFeOFkjl7nIqPZV0x7o553Cw68g3r00gTbMLfCAxwHN9ZtrXG5bcTnZwECMWAyHIWF9R/jIX3Y0hEtHRwbWlH/wgwcd+TKq+nvY/+jR1X/u3eeE2rfK7ePO2Jbx52xIAgrE0h5tMC9PBhlIeb13Kj2MSYuAgzU2ikdud9XzQU0+ZcYF6Lcopp4PTTidnnA6iJDjSdYQjXUfy11hWtIydVTvZWbmTXVW7qCuqU1Xur4EFKZCklCkhxBHgXuAxACGEZj3/8ixO7ao8fO5hfhr9Kbw0PeO5bW58dh9FjiJ8Dh9F9iKKHOZW6iql3G0KoDJXWX7fY/OoPyLFrCI0QUm1l5JqL+v2DommYE+cnuYwnQ1BOuuD9LZEiAVT1B/rof6YubyGzalTs8rPkrUlLFlXTNVyP7p99BemsNtxbdqEa9MmSt7zbgCMaJTEuXPET5wkduwo8SNHyQ4MEDt0iNihQ2ZKgK7juukmvPv24tm7D8/OHWjemRNM6e5uBr/3fQAym2+B01mKq3MCyeyTsXnI9o6/ZM62im3sb9rPMZeTXReehHAnFFVP6vqFBqTp+Jz42eUfk0ayMZli09ZfI2ZZj2zV1WRSZlZrUZkLgHhktEDSnE6W/uMXaXz3e4j+8pd0/e3nqPrTP5kXIqmQgMfOvRuruHej+bs+nspyrGWAQw0DHGzs42iTi2OJtXwpASCpE93cYq/nvUWNbAmdJ5Ju4rTTwWmng+NOJxcddprDzTSHm3ns8mOAKY53Vu5kZ5UpmNYWr12QbrnpYt4KJCGEDyhMW1gphNgO9EspmzEDqh8WQhzGDMj+FGZpgG/M8FSviVpvLTV6DVWlVbhsLly6C5fNhVN35p87bc5R7R6bJy+C/HY/PocPn8OHXVOxNYqFgdAExVUeiqs8rN1jfomkU1l6msJ0XgnSUR+ko36QZDRDy7kBWqy6Tbpdo3pVgLqNJdRtLKW8rmhcN5Hm9eLZvRvP7t2U8RtIKUk1NBA7fJj4kSPEDh8h3dZG4uRJEidP0ve1fwebDffmzXj27cN78z7cO3aguVw37D70/8fXkckk7m3bCFEM9FG+1FxuRNiGW5DGY1fVLvY37edwcSUfDV6G49+GO/7XpK4/nRYkKSU/PPdtAN6ZBJbdSvqUmX3nqKvL1z0qKjXvZ2IMgQTgWreOms/+Fe1/9GkG/uu/MGIxav76swh9/n75ux06t64u59bV5cBa0lmDM+0hDjb0cbBhgMNNDr4fq+L7fbcC4CPGrlg9DwaaeX/6AsWxM5yyS466nBx1OTntdNIb7+WZpmd4pukZAIrsPrZVbmdX1S52Vu5kc/lmVWaggHkrkIDdmAHWOXIZZg8DH5JSfk8IUQF8FrNQ5HHgQSnlyMDtOcVvbvlNlrYs5aH75md1Z4ViJrE7dJasLWbJ2mLAtDL1d0RpuzhI+8UB2i8PEg+nabswQNuFAV577ApOr43a9aUs21RK7cYS/GXjZwMJIXCuWoVz1SpK3m1amdLt7UQPHiR24CCxAwdIt7cTP36c+PHj9H31qwiHA/eOHXhvuRnvzTfj2rx52opZxo4eZeCRRwAo+8Tv0PO4uaRIWa0pkIZcbJ4JBdKe6j0AHLVJ0oD9yMNw2+9NKli7UCBdr1Q60XOC+lgnLsPgoWX3gm4j1dwCgH1ZHamIWXMpUGn+H8XCKaSUY1quAm95C9Iw6PjTPyP46KMYsRhLv/B/5lz82FSx6xrb64rZXlfMx+40Y/cu90Q40NDPISuW6YWghxf6twBvxE6G7XoDb9Ub+Ct5nqqeU5y1ZTjqNAXTcZeTcDrCy20v83LbywA4NAebyzebgqlqJ9srtuNz+Gb3hc8i81YgSSmf5yp/n1LKLzPHXWoKhWL6EJqgbKmPsqU+tt5day5T0xGj7eIALef6abswQDKaof5oN/VHzXqxJdUelm8pZ8XmMqrXBEbFL43EvmQJxW97G8VvexsAqdZWYgcOEj3wGrFXXyPT00PswAFiBw7Qwz8NWaX27sWzdy+ujRumJJjiZ87Q+olPItNpfK+/l+yG3cQeeQ1NF1QuK0JioA2zIF0Zd6w1xWsIOAMEk0HO+krZNtgEV56DNfdedR7DXWzX/DKG8UMrwPj+aIyiO94JQKrZXAjZVruM9HHTglRSbbowjYwkGc3g8o3947H4bW9D83ho+19/QPipp2hsbaXmb/4a14YNY/afz2iaYF1VEeuqivjAzcuRUtI6EOdgQz8HGvp4pb6PQwNrOdS7FrgfnSw7bE283dHIp9Pnqek/wRWR4KjLxVGXkyMuJ/2kONp9lKPdR+GUuWbl+pL1+TimxRb4PW8FkkKhUFwNIYYCwLe8rpZs1qC7IUTLuX5azg3Q1RhioDPGQGczx/c343DbWLaplOVbyli+uQy37+rWB0dtLY7aWorf+Y68Sy76mimWogcPYgSDRF54gcgLLwBmlp1r21Y8O3bg2rwF14b12Gpqxo3nSTU20vOlLxN6/HEAXDfdxNIvfIELxwcBqFrhx+bQSaeNvAUpbfOQ7hzfWK4Jjd1Vu3m2+VkOL9/BtjPPwvFHJiWQ9GnKYoukIjzd8CQAv5IUsPJOAJJW7Sp92SrT7g+4i+y4vHYS0TTRYHJcgQTgv/9+tH/5F9p+7/dInD5Nw6+8i7KPfITy3/ltNOfCTSwRQlBX6qGu1MM7d9UC0NIf49X6Pl6p7+WV+j4Oh1dxuHsVcA8aBjscLbzD08TvGuep7TpGWzaaF0tHXU5a7XbO9Z/jXP85vm25Qpf7l+eDvvdU72GJb8ksvuobixJICoVi0aDrGjVriqlZU8zeN0Mylqb5bD9Np/toOt1HIpLm8pFuLh/pRmiCpeuKWb2zklXbK/D4ry6WCl1ype97HzKbJXH+PLGDh4gdPEjs8GGMcJjYq6aAyqEVFeFYsQK9tARbSSnCbifd3UWms8sUDFnTkuJ/6CGq/uxPTSvJhUYAaiz3IoBm1ShKO4pINbRPONecQDrkdvERgPM/g0QQXGMv/Fr4GvP71+Fke6LhCeJGilWpNNtX3g+6HZnJkLpcb3aoWwk0odkENruOt9hBIpomMpikbOnEbh/f7bex6vGf0fXXf0N4/376vvpVgj/6EaW/8WFK3v1utBuw+sFcJCeY3r2nDiklV3qjvFLfx6v1vbx2pZ8j0eUc6VwO3InAYKerg3c6mviodp663qP0p7uHBJPTySWH3VwaKtTEjy7/CIClvqXsrd7Lnuo97K3eS5V3ZPL4/EUJJIVCsWhxeuys3V3F2t1VGIakuzFE0+k+Gk720tcaofX8AK3nB3jxOxdYsnZILHmLJ2eJELqO+6abcN90E2Uf/hAymyV5uZ74sWPEjx0jce4cyStXMMJhEqdOjTuO9647qfzUp3Bt3AhANmPQeMrMUlu2qTTfT3eaAsnQ7MR7gkjDGDebKxeHdCxYT6Z8Hbbei3DmMdj165N6bQCGlFfvNA65+j3vDEcQd74NgFRzCzKVQrjdGIEKoAmn2/ya8pW66GuLEu5LTGp8e2UltV/6Z0LPPEPX//5bMl1ddH/+/9D3r1+l+L3vofjtb8exfIwVnBcoQghWV/hYXeHjAzcvxzAkF7rClmDq48CVPo4klnKkfSlwK/Bhdnm6eZeniffr5/n04FFiiVaOO03BdNjl4ozTQVukjR9d/lFeMC33L8+LpT3Ve+a1S04JJIVCocCM6aheFaB6VYB9b1lFsCdG/dEe6o92090Upu3iIG0XB3nxexepWR1g9Y5KVu2oyGdYTQah67jWr8O1fh0l730PADKVInnlCun2drL9/WT6+pHpNLaqSuzV1Tjq6nCsWDFsnJZz/SRjGdx+BzVrigvGB4dLJ5XIktLMTDZ71di/6NeWrMXv8BNKhTi34c1sefkinPjONQmkqXK27yzn+s9hl5I3pwSsvhuA5MWLADjXrCGdNK1mDksg+cvNQO1w37XVePPffz++172O4GOP0ffv/0G6uZm+f/0qff/6Vdw7dxJ4y1vw3XP3vKigPp1ommBjjZ+NNX4+cvtKMlaW3Cv1fbx6pY9DDf0ciVVxJFYF7AU+wO6ift4VaOId2jl+N3iEZKyVoy4nh1wuDrmdnHU48hamnABeGViZF0t7qvdQ6iqdcF5zCSWQFAqFYgwCFR52PrCcnQ8sJ9Qb58pxUyx1XgnRcTlIx+UgL//gElUr/azeWcnqHRX5L/FrQTgcuDZsuKZA4uP7zVpBa3dVjipZ4Ak4SCXiJB0B0m3t4wokTWjsqtrFcy3Pcai4ki0IaH4VBpuheNk1v45r4dFLjwJwbzRGydoHwGZa5PICad1aknFTIOUsSH6rFlKwZ3IWpEI0h4OSd7+b4ne+k/D+nzP46A+JvvxL4kePEj96FD7zGdzbtuG75x68t9+Ga+PGeVdH6Xqx6Rrb6orZVlfMb79uNamMwYnWwXwM09GmQQ6HyzgcLgN2Au/j1uIB3lnSwLs5w6cGDhFNmC65g24Xh1wuzjvsNAQbaAg28L0L3wPMBIG91XvZW72X3dW7CTgndunOJkogKRQKxVXwl7vZ/vplbH/9MiIDCbMw5dFuOuqDdDWE6GoI8coPL1O5ws/a3ZWs2VWJr+TG1EJquzBA28VBNJtg+32jhYzH72CwK07K4Sfd3g47d4w71p7qPTzX8hyHBy/yGytuh8aX4MyP4Lb/Oam5TMXBFkvHePyKGXD+znAE7n5L/ljy0iUAnGvXErRqHuUCsosrzbihwe7JrcQ+FkLX8T/4AP4HHyDd1U3opz8htH8/iRMniZ84QfzECXr+8R/RS0rw3nILnn378OzZg2PlikVXPNdh09izopQ9K0r5H/euJZHOcrRpgFcswXSiNcgrg6W8MliKuTb8B7intI93lFzhA/I0/6vvEOF0N4ctC9NBt5NLDgeXBy9zefAyj5x/BIFgfen6vEtuV9UuihxFs/3S8yiBpFAoFNeAr8TFtnvq2HZPHdFgkivHeqg/1k37xcH8Mii//O/L1KwJsHZ3Fat3Vk4qwHsyGIbkwE/M9P2bblsypnvPbV0r5QiQbm2dcLzdVbsBONp9lMymj2BrfAlO/3DSAmkq7G/aTyQdoTadZm9WH7bMSc6C5Fq3jri17lpOIJXUWAKpK4ZhyOteE85eVUnZRz9K2Uc/Srqrm8hzvyDy4kvEXnuN7MAAoSeeIPSEWbRSryjHs2Mn7p07cGzdCpnMdV17PuKy69y6ppxb15QD64kkMxxq7M9bmM60h/hFfzm/6C8H9qLxIR4q7+EtxVf4aPYkn+45zEAmzuECC9MVh53z/ec533+e/zz7n2hCY2PpRvZU72Fn+U6SMnm1ad1QlEBSKBSKKeINONnyulq2vK6WaDBJ/dEeLh/pyrvgOi4Heel7F1mytphVO8wAb1/J1FPNX3n0Mh31QXS7xs4HV4zZJyfGkk4/qaamCcdbV7KOIkcR4VSY8zUb2Sx06DgBffVQtnrK85yIH9f/GIC3h6Noa+8Dhyl8jESClLXMiHPtWhIvBQFwe83XU1TmRrdrZNMGoZ54fv256cBeVUnJe99LyXvfi0yniZ84QfTV14gdOkT8+HGyPb2En3mG8DNmBeo1djutj/4I765duLdvx719G7bS+RNbMx34nDbuXl/J3evN2K1gLM1rDWbA96v1fVzoCvOz3ip+1lsF3IJDfIS3VvbwpqLLfCJzkuKuI/TJlGldsoK+Gx12zvSd4UzfGb7JN9HQiJ+P8+tbbnxc3FgogaRQKBTTgDfgZOvdtWy9u5bIQILLR7q5dLib7sZQPsD7pe9dpHKFn+WbzTpLlcuKEJOwhESDSQ7+rIGzL5mp+/d+cOO4QssTyFmQ/KSaxs+MA9A1nV2Vu3i+9XkOBS+xedXroP5ZOPMo3PmHV52XvMYsttZwK4c6DyEkvCUShY2F7rXLICV6SQl6eTmJiJmll7MgaVYR0O7GED0t4WkVSIUIuz2/3AyAkUySOHWK2LFjxI8eI3bsGAwOkjhyhMSRoYVh7cuW4d6+Dfe2bbi3b8e1fv20VVCfDwQ8dh64qZoHbjLX9OsJJ3ntihnw/Wp9Hw29UX7QVcMPumqAO/DqGd5Z1ckbPBf5vdRJijqO0S0MDrmcHHKboqnVbmdZX+OsvabF87+nUCgUM4SvxJWPWRoK8O6h80ow74Y79LMGnB5bPnOuYlkRvhInvlIXdodGLGQWRWw40cOJZ1vyC7fe/LZV+bXoxsJT4GJLNTZeda57a/byfOvzHOg8wIc3vdUUSBeenJRAulZ+Wv9TAG5OxKnGBuseyB9LnDkNYAZIC5FfmLawKGTFsiK6G82Yr7W7Z6bejuZ0DhNMqVSKnz/8MPv8fpInTxI/foJUfT3p5mbSzc2EfmK+RuF2myUedmw3RdO2bdgqKmZkznOBiiInb962hDdvMwtJtg/GTeuSJZjaBuN8q72Wb1EL3EPAlua91W3c577EHyaO4W07RacGRVvXTHyhG4gSSAqFQnEDKQzwjgaT+aKUuVT93POrUbXSzy1vW83S9SUT9vP4TUGRdPjJ9veTDYXQ/f5x+++t3gvA0a6jpPf8GXaAtiMQ6QbfxKnv1xK4bEgj7157azhqVu12DgXkxq06UK4tW4ChhWndRUMCacmaAGdebKPj8uCkrzvdCCFIV1bif+gh7O8xSzVkQyHiuUDv48eJnzhhFgQ9fJjY4cP5c+1Ll5ouuV078ezahXPNmnm9oO61sKTYzTt31fLOXeYSQM35Kt/m1huBr7au4KusAO6j0pHkQdtp7mEHr5ulOSuBpFAoFDOEN+Bk021L2HTbErJZg77WCB2Xg3ReCTLQGSUykCQZMwOAhSbwBhz4y91su7eOldvKJyVI8hYkK3061dSE2xIdY7G2ZC2lrlL6E/2cSvSwc8kOaD8Gl56BHb82Da/a5EjXEdoibfik4J5YHNY9OOx44pRpQXJv2Ww+j1oCqcCClFuUuKc5TCqRweGaG19hut+P747b8d1xOwDSMEg1NFiLGJuiKXn5Mum2NtJtbfllY7SiItw7tuPZuQvPrp24tmxBc92Y7Me5hBCC5WVelpd5ee/eZUgpqe+JmGLpch+vNfTRHYNvpXaxKTV7Vc/nxrtLoVAoFhm6rlG53E/lcj/b7q3Lt6cSGTIpA5fPPqVMrVwWW8bmIavZSF6un1AgaUJjb/Venmp8igMdB9i57kFTIF148qoC6VpikH582bQePRAO45YS1t6XP2bEYvk12HIWpHwWm3coA9BX4sJf7iLUm6Dt4iArt87NKs1C03CuXo1z9WqK32kuwpuNREicPGnGMh05Svz4cYxwmOiLLxF98SXzRLvddMtZFib3jh3YSia2GC4EhBCsqSxiTWURH7xlBYYhOdXazzce/yW3rymbtXkpgaRQKBRzCIfLhuM6jAhOjw3dppHNGKTsfpKXL131nL01pkB6reM1fnvbp+D5z0H9c5BJ5os4Xg+xdIxnmswMsLdGIlC1GfxDi5wmzp0Dw8BWUYG9qgoja5CMmpa0kQvTLt9SzqnnWrlyrHvOCqSx0H0+vLfeivfWWwGQmQyJCxeIHzlK7OhRYkcOk+3ptaxOx+n/j68D4Fi9Gs/OnXnRZK+tXfA1mTRNsKnGz91LJFX+2bOoKYGkUCgUCwghBB6/g3B/gpTTn7fMTMTN1TcDcLL3JLGytXh81RDphMaXzVih62R/037imTjLhIvtydSw2kcwOv4oF6CNAJd3+NfU6h0VnHqulYYTvWQzBrptfla8FjZbfp2+0g9+ACkl6dZWYkeO5EVTqr4+vw3+4AeAVZPJcsm5d+7CtWFxZcvNJOquKhQKxQLDE7AEkiNA6tLVBVJtUS013ho6oh0c6z3BbesegKMPw8WnpkUg5SpnvyUcQgCsvX/Y8ZHxR9FBs0Cgx+9A04cLoJo1xXgDDqLBFFeO9UyY0TefEEKY6+7V1VH8trcBkBkYIH7sWF40xc+cMWsyPf004aefNs/zePBs34Y7J5q2bkXzemfxlSwclEBSKBSKBUa+WKTDT7r9BNlIBN3nG7e/EIJ9Nft47PJjHOg8wG3rHrQE0tPw0N9d11z6E/0c7DwIwBsGesHph7q9w/rET1sWpM2mBSkyYAqksZZr0TTBpjuWcuhnDRx/toU1uysXrMvJVlJC0T33UHTPPYBZTDNx6hSxI0eJHT1C/OgxjEiE6CuvEn3lVfMkXce1cSOefXvx7tuHe+cudJ8STFNBCSSFQqFYYPiKzbihdHkdtEPi7Fm8e/dOeM7e6r2mQOo4APd9DIQOg00w2ALFdROeOxHPNj9LVmbZaC9hWaYZ1r4O9KG4omwwSLrJrKDt2nwTAJEBc0HaonGKYd50xxKOPdNEd2OIy4e7F4wV6WpoLheePXvw7NkDgMxmSV6+POSWO3KETGcnidOnSZw+bcYx6TruzZvNdeX27cWzcyea+9oXVV6MKIGkUCgUC4yicvMLMFW2HJicQNpXsw+Ac33nCJIlsGS7WQ+p6ZdQ/N4pz+XpRtMV9EDczEob6V6Lnzbda/a6unzGVs6C5B1HIHkDTnY9uJwDP2nglUcvs3JbOTbH4qgnVIjQdVzr1+Navx7e9z4A0m1txA4fJnrgILEDB0i3teUX4u37t38zM+W2bsW7by+evftw79iO5rz+QPyFiBJICoVCscAIWAIp7jZTpBNnzl71nEpPJasCq7gSvMLhzsPcu/w2UyA1vgzbpiaQ+hP9HOo8BMD9HVY23YgA7ZHxRzCxiy3H9tcv48xL7UQGkrzwnQvc88GNC9bVdi3Yly4lsHQpgbe+FYBUaxuxAweIHTxA9MBBMp2dxI8cIX7kCHzlXxAOB+7t202X3M03496yBeGYnsWV5ztKICkUCsUCo6jcFBaxrCmUEmevLpDAdLNdCV7hYOdBUyC98s/Q9MqU5/Fi64sY0mCju5q6TDNUbQF/zbA+I+OPYMjFNtHCvjaHzj0f2MhPv3Sc8692Eqhws/uhlVOe60LFUbsUR+07KH7nO8xMueZmogcOEDtwkOjBA2R7eokdPEjs4EF6v/RlhNuNZ8cOPPv24d23F9fmzYs2S25xvmqFQqFYwPgtC1IiCRndCVeuYESjV81u2l29m+9e+C5Hu4/C1t8GBPTXQ7gTiqpH9b9ancgXWl4A4HUZy/1VUBwyx1QtSAB1m0q54z3rePG7FznwkwaiwRS3v2vtvE39v9EIIXAsX45j+XJK3v1upJSkGhqIHThA9LUDxA4eJDswQPSVV4i+8go9gObx4N69C+++fXj27sO1aeOiWR5FCSSFQqFYYDjdNpxeG8lohvTSddiaT5E4fx7Prl0Tnreryjx+of8CIV3DX70FOk+abrYtv3JNc0hmk/yy/ZcA3NVx0WwcIZDS3d1kurpA03Bt2gSANGQ+zX8iC1KOLa+rJZ3M8upj9Zx+oY3mM33seeNK1u2rnlIl8sWEEALnqlU4V62i5Fd/FWkYJC9dNgXTwQPEDh3GCAaHVfvWiorMxXutLDnn+vUIbWEKUiWQFAqFYgHiL3PTEw2TWb0Vmk+ROHP2qgKp3F3OsqJlNIebOd59nDuX32oKpLYj1yyQDnUeIp6JU+koZlO4GZwBqB0eKJ6wArSdq1flrVuxcAojKxECvIHJxcLsfGA5xVUenn/kAqHeBM8+fI6jTzex8dYlLNtcSmmNV8UnTQKhabjWr8O1fp1ZvNIwSJ4/nw/4jh0+jBEOE3nuOSLPPQeAHgjg2bsHz76b8e7bi2PNmgVzr5VAUigUigWIv9xFT3OYdPUqYKha9dXYWbWT5nAzR7uOcmfNdrOx/fiYfSXj+9ieb3kegDvsZWZxyNV3gz78Kyd+/AQAri1b820595on4BxVJHIiVm2voG5TKaeea+XoM00MdMZ45dHLvPKoaYmqWhmgtMZDSY2XQIUbj9+Jx2+/pmssNoRl2XNt2kTZhz9kLo9y7pxpYTpwkNiRI2SDQcL7f054/88B0MvK8Ozdk3fJOVaumLeCSQkkhUKhWIDk4pCS/qUAxI8dm9R5Oyt38tjlx8w4pJ1/bDZ2ngTDgGtwpbzabhYuvGuw22wYI/4ofvw4AO7t2/JtkwnQHg+7Q2fnA8vZfOdSzr/WQdPpPtouDhIZSBIZ6KZ+5AkC3D47To8dl9eGw23H6dZxuG35zWk9urx2nF4bNqfASIFhTH6h3oWCsNlwb9mCe8sWyj76UWQ6Tfz0aWIHDhI7eIDY0WNk+/oIP/kU4SefAsBWUZGvweTdtw97Xd28EUxKICkUCsUCJCeQYloRCEG6tZV0dzf2ysoJz8vFIZ3uPU2ieBkumwtSEei/AuVrJnXtjkgHzeFmdKGxp83KoBuR3i8zmbxVy719e759KEB76rV5HG4bW++uY+vddWRSWTouB+ltizDQEWWgM0q4P0kslEIakng4TTycvsYrFPHvv3gZp8eGp8iBJ+DE43fgDZj73oADX4mLojIX3mLngo2FEna7mfG2Ywd8/LcwUikSJ0/ms+Tix4+T6ekh9LOfEfrZzwCw1dTg3bs3nyVnX7p0ll/F+CiBpFAoFAsQf5mZARYOpnGuW0fywgXix45jf+D+Cc+rK6qjzFVGX6KP88HLbK/aDG2HoeP4pAXSgc4DANzkqsInG6Fm+6gsuOTFi8h4HM3nw7lmaNzJZrBNFptDp25TKXWbSoe1G4YkHk6RiKRJRNMkYxkS0TSpeMbasiQT5n4yliEZs/pFM6STWZCQjGZIRjMMdMbGvb6mC3ylLvxl1lbhprjKQ0mV6erT7QvHxac5HGYA9+7d8IlPYCQSxI8fHxJMp06R6egg+OMfE/zxjwGzQGjOuuTZuw971cQCfiZRAkmhUCgWIDkLUqgnjmvHDlMgHT2K/yoCSQjBlvItPN/6PKd7T7O9ZtuQQJpkoPaBDlMg7YtbwuGmt4/qE8u517ZuHZYFFemfuovtWtA0gTfgxBu4tuuk02ke/+kT3H3X68kkJbFQiljQ3KKhpLWfJNyfINKfxMhKQj1xQj3xUWMJYVY9L6n2UFLloXSJj/JaHyU1Hmz2+Z9Kr7lceG++Ge/NNwNgxGLEjh7LZ8klTp8h3dJCsKWF4H//EADHihV49u3DuXsXejg8m9NXAkmhUCgWIkVlLoQmyKQNxE27gO8SOz65OKTN5Zt5vvV5TvWegiXbzcaOE5M6V0o5JJBy1bM3vXVUv6H4o+3D2ge7TVEVqJi764UJ3VwQ2G63U7Zk/H5G1iAaTBHqjRPuSxDqjRPsiTPYFWOgM0Y6mc2Lp6ZTfUPjCyi2BFPZUi8Vy4qoXO7PL0I8X9E8Hny334bv9tsAyEYixI8cyWfJJc6dI9XYSKqxEb73PVYDA7EYlR/72KzMVwkkhUKhWIDoNg1/uYtgd5xE9ToAEmfPYSQSaK6J3Veby82ijWf6zsBac40vOk6YlSELAmzHKhTZEGqgJ96DA41tySSsvhdKR1e4zmWwuXdsLxhPEuw2LS2BSs+kX+tcRdM1ikpdFJWOvt9SSmLBFANdMQY7o/R3xuhvi9DbFsm77QY6Y9QfHTrHV+KkcoWfyuWmYKpYVoTLax819nxB9/nw3XUXvrvuAiAbChE7fJjYgQNEXjtA6sIFHGvXztr8lEBSKBSKBUpJtZdgd5xwxo27ooJMTw/x4yfw3rxvwvNyAqkp1ETQv4SA0CERhFA7BCYOqj3aZX6jb4vHcEkJt35yVJ9Mfz/p5mbAdLHliIVSpJNZhBhaT26hIoTAW+zEW+ykdn1Jvj0nnPraIvS1ReltC9PTFGagK2Zl4/Vw5VhPvn+gwm0KJks4ldcV4XDNz6923e+n6J57KLrnHkrTaZ76wQ9YfZVFlm8k8/MuKhQKheKqlFR7aDwJg50xyvbuJfT448QOHbqqQAo4A/mCkWcGL3Fr6Urouwy9F68qkE51HgYwrUc7fg1W3zOqT8565Fi9Gj0QyLcHLfdaUZlrQQUvXwuFwmnZTWX59lQ8Q09LmO7GMN3NIbobQ4R6EwR7TLfdpcNWOQUBpTVealYHqFlTTM2aAEWlrnmTWl+I4fXO6sK5i1YgCSHqgP8EKoEM8NdSyh/M7qwUCoVi+iipNqtT93fG2JITSAcPTurcm8pvojnczOm+09xavt4SSJfMgo/jISUnG58FYIu9FB78P2N2G6v+EcDgAnKvTTcOt42l60pYum7I2pSIpuluCtHdFKa7MURPc5jIQJL+9ij97VHOvNQOmK65IcFUTNkSL2KBlh6YThatQMIURZ+SUh4XQlQDR4QQT0gpo7M9MYVCoZgOSqpNoTHYGcXztj0AxE+cwEgm0ZwTZ29tLtvMkw1Pcrr3NJSvhQuYFqQCRsYgRQ7/B/VGHIRg64P/AE7fmGOPF6CdsyAVz+EA7bmEy2tn2aYylm0asjRFg0m6GkJ0XB6k/XKQXks0XTrcnbcyOT02qlcFqFljiqaq5f5Fa7GbiEUrkKSUHUCHtd8phOgFSgElkBQKxYIgJ5CiwRSyqhZbYRzSvoljOzaUbgDg8uBlWPl+s7H3wvgnpGKcefnzyFI3S2w+ylfdO2a3wgKRnlEZbMqCdL14A05Wba9g1fYKANLJLF0NQTrqg7RfGqSzIUQylqHpdB9Np83MOd2mUbmiyLQwrQ5QszqA0zN/g7+nizkrkIQQdwJ/COwCaoC3SykfG9HnE1afauAE8LtSysnZj4ePswvQpZQt1ztvhUKhmCs4PXY8fgexUIpgVxxPgZvtagJpTYlZvLE13EqsZBkegP6GYX2GhbWc/B4nSQJutiy9ddxx8wUii4pwrF497FjOghSoVBak6cLu1KndUErtBrNQppE16G2N0HE5aFmZBomH09bzoHmSgLIlPpasGXLL3ei6VHOROSuQAC+m6Pk68OjIg0KI9wBfBD4OHAA+BTwthFgvpey2+hxn7Nd4v5Sy3epTCnwL+M2JJiOEcAKF75AiMIuGpdPXWqZ+fHJjTeeYirFR93pmUPd5ZhjvPhdXuYmFUvS2hajatQsef5zIgQMUf/y3JhyvSC+i1FVKf6KfSzLNNkCG2sgkhqpGZzJZ83pSYnvtK5x0mgG1N5VtHvf/O3LkCADOLVvIZLOQzQIgDZm3IPlKHXP2/bIQ3s8lS9yULHGz6c5qpJSEehJ01AfpvBKisz5IqCdhZdFFOPVCGwBFpU6qVweoXu2nepWf4mrPDQ38vpH3ebJjCjlWIYs5hhBCMsKCJIQ4ABySUn7Seq4BLcCXpJSfn+S4TmA/8DUp5X9epe9ngL8c2f7II4/g8ShzsEKhmJsMnHESbXZQtCpJeWkbK//+HzBsNuo/85dI+8RulK9Hvs6VzBXe4X47f3HuK+gyzf5Nf8dvHjUz2d6/JsveCklF6DS31n+Be+qW0mPT+U3fb7LctnzMMau+/30CR47Sd+899N0/VNU7Exd0Pu8DIVl6fwShQmJmjWxSkOzXSQ3oJAd00iENGC6GNLuBszSLsyyLszSLzWcwXxLlYrEY73vf+wACUsrQeP3msgVpXIQQDkzX2+dybVJKQwjxc+CWSY4hgG8Cv7iaOLL4HKbFKkcR0Hr//ffj9/snO/Wrkk6n2b9/P/fddx/2q3x4Ka4Pda9nBnWfZ4bx7vNpbxuvNF+h1LuE13/wXhof/hb09HDXkiV49uyZcMwzh89w5eIVvMt9aF0roO8Sd29fBUfN9dK2bd3GQzuWoD++n6Am6LGZy2N84A0fwGcfO0C76av/RhrY/I534L3zznx76/kBnnj+NIFyD298051jnjsXWIzv51QiQ3djmM76IJ31Iboaw2TTEO/SiHeZ98Dls7NkbcDaiglUua/LwnQj73MoNK4mGsa8FEhAOaADXSPau4ANkxzjNuA9wEkhxNustg9IKU+N1VlKmQSSuee5/3i73X5D/khu1LiK0ah7PTOo+zwzjLzP5UvNH3DB7jgOhwOvFYeUOnKUwK3jxwoBrCszK3BfCV1BlKyAvkvYwm2YH8Gg6Tp2mw2u/IJ6u+leq/ZWU+IpGXO8bDhMusGMY/Jt346tYJ6hbvPjtWypb168TxbT+9lut7Nyi5uVW8yFZLMZg57mMK0XBmi7MEBnfZBEJM2VY71cOdYLgCfgsMoSFLN0XQmByqkJphtxnyc73nwVSNeNlPJlQBlxFQrFgiaXyRbsiZPNGMMCta/GmmIzUPvS4CUo2W42DjaRE0gA9JyHUBuXA6YoWl08PPC6kMSZMyAl9qVLsZWVDTvW3x4BoHSJd5KvTDFb6DaN6lUBqlcF2P2GFWTTBl2NIdouDtB2cYDO+hCxYIpLh7q4dMi0Y3iLnSxdX5yv5eQvn/vFK+erQOoFskDViPYqoHPmp6NQKBRzE2+xE7tTJ53MEuyO4907+XpIOYHUHesmWFlJACDYihnhYNFiLkxbX7IECLMmsGbc8eInTQO9a+uWUcf62s0KK0ogzT90u8aStcUsWVvMnjeuJJPO0nUlROvFAdovDtLZECQ6mOTigS4uHjAFk6/USe26EpauN7ex1qubbealQJJSpoQQR4B7gccgH6R9L/DlWZyaQqFQzCmEEJRUe+huCjPQFaVk+4qhekjHjk+47IjP4aPGW0NHtIN6m8ZOgPDQb1ApJbSZS4vUu1yQDOfLA4xF4tRJANxbtg5rl1LSbwmksiVjxy4p5g82u54XPgDpVJbOK0HaLpiCqashRKQ/yfnXOjn/mvl+8pe7TOvSetPC5PTNvoNnzgokIYQPKPxLWymE2A70SymbMQOmHxZCHAYOYqb5e4FvzPBUFQqFYk5TUu01BVJHDLFD4Nmzh9ATTxA7cviq67Kt8K+gI9pBk8iaAikyIvSzzVyc9rJhpujnrE5jkbMgubcNF0jh/gTpZBZNFwSqVA2khYbdoVO3oZQ6qxZTOpmlo36QtguDtF0coLspTKg3Qai3g3OvdADmIrwZl5PODUHq1pdPNPwNY84KJGA38FzB81wG2cPAh6SU3xNCVACfxSwUeRx4UEo5MnBboVAoFjXFVhzSQJdppfHs2W0KpMOHr3ruMv8yXu14lRbDqn8U7sgf040k9JxjUNPoS5sxRKsCq8YcJ93VRaarC3Qd18aNw47lrEcl1R50ffYtB4obi92pD1siJZXI0HHZtDC1XRygpzlMsCcOOOhvj1G3fnbmOWcFkpTyeUYWXhjd58sol5pCoVBMSKm1aO1AhylyPLt3AxA/dhyZSk24YnpdUR0AzSmrynIiiJMUSRwUha+ANLhcZP7CX+pbisc+dl24+EnTveZcuxZtRO24/nz8kXKvLUYcLhvLN5exfLMpmJKxNC0X+vjl08ep3VA8a/NSUl2hUCgWOEMWpBhSShyrV6MXFyMTCRJnz0547rKiZQA0RzvAZgbSVohBAPzhegCulJiFIyfMYMu517aMFaCtMtgUQzg9dpZvLqN4YxJ/+ey5XJVAUigUigVOoNKNpgkyySyRgSRC03DvNjPRruZmW+Y3BVJLuAXpM+vgVDIIgDdmLl/Z7DaFzXL/2NWzgfwCtWNlsA0FaCuBpJg7KIGkUCgUCxxd1/ILwPZ3WHFIlpstdmhigVRbVAtAJB1hsMisrFIlBgDwxs11ulqtuKFaX+2YY0jDIGEJJPfW4QHahiHzrj9lQVLMJZRAUigUikVATnzkrDWe3WY9pNjRo0hrwdixcOpOylxmbEinx6zKXSbMpRq8MUsgSbMKdk5MjSTV0IARjSLcbpyrh7vhQlYBS5tdw1+mMtgUcwclkBQKhWIRkAuAzlWsdm1Yj+b1YoTDJC9enPDcGm8NAB3WciIBLJEVa0cCrVYA93gCKV8g8qZNCNvw3KDC+COhze3KyorFhRJICoVCsQgorRluQRI2G+6dO4Gru9lqfJZAslxpARFFJ4sn0cmgphHNJgAzi20s8u61zePHHyn3mmKuoQSSQqFQLALKlloCqSOKNCRQEId0lUDtam81AJ3CAEwLUjX9aDJLm9PMbKt0V+LUx162JHHhAgCum24adayvTaX4K+YmSiApFArFIiBQ4UazCTIpg3C/afHx7BkSSFLKcc/Nu9hkyhxLRKm0Uv07vWYNpJyIGomUkqQlkJzr1406nnP5qQw2xVxDCSSFQqFYBGi6RkmVKUJyC8O6Nm9GOJ1k+/tJNTSMe25eIGXNbLNiEaFEhAHocpk1lqq8I9cON0m3tWNEImC341y5ctixbNpgsNtcokRZkBRzDSWQFAqFYpEwlMlmWm00hwP3tm3AxHFIlR6z/lFPxhRIAaKU5gSSwzmsz0iSFy3r0erVCLt92LGBrhjSkDg9NrzF41fzVihmAyWQFAqFYpEwMtUfwL19OwCJ06fGPa/cbbrRelNhJOAXUUowBVK3rgNQ5RnbgpRzr7kmcK+V1ngRQmWwKeYWSiApFArFIiEX55MrFgng2mwGTsdPnR7/PLdZByktM4Q0QTGRvAWpW5ixS+NZkBIXzBICznWjVxzta7Pij5Yq95pi7qEEkkKhUCwSchakgY4YRtbMSMutjZa8dAkjkRjzPKfupMhRBECfruMVyXyQdpcVuD2uiy0XoL1htEDqbbWWGKlVAkkx91ACSaFQKBYJ/jI3NrtGNmMQ7DGDo23V1ehlZZDNkjh3btxz8242y6W2QnQige6sOU61Z3QWmxGPk2pqAsC1fgwLUqtphSpXAkkxB1ECSaFQKBYJQhNDcUiWm00IgXvzZgASp8+Me25eILlMS9IK0UlcCBIyA0Cpu3TUOcnLl8Ew0MvKsJWXDzsWj6SIBk3rkyoSqZiLKIGkUCgUi4iRFbUBXJabbcJAbZclkOxm1lqZCBPSzK8QXeh4bJ5R50wUoJ0rEOkvd+Fw2UYdVyhmGyWQFAqFYhExtCbb1AK1ewtS9XMCye/wj5mFNmGAdqsK0FbMbZRAUigUikVEzp3VV5jqb1mQUg0NZCORMc/LCaQ+KwYJIGStzeZ3+sc8Z6iC9gQZbCr+SDFHUQJJoVAoFhE5gRTsipHNmJlstrIybEtqQEoSZ86OeV7AGQCGrEaF+37HaIFUuMSIa4wMtpxAKlcWJMUcRQkkhUKhWET4Spw4XDqGIRnsiuXb3TflArXHdrMFHDmBNNQ2kUDKdHWRDQZB13GsXj3smGHIvAVLudgUcxUlkBQKhWIRIcToTDYYCtSOjxOonXOjBQvagrq5PMhYAinvXlu1Es0xfBmRYHeMbNrA5tDwV7in9kIUihuMEkgKhUKxyCipzhWMLIxDmjjVP29BEka+bdBmZrSNFYM0UYB2rxWgXbrEh6apJUYUcxMlkBQKhWKRkRdInUMuNtdNZiZbuqWFzMDAqHNyMUhBmUFabUHdzGib0II0QYB2+VJV/0gxd1ECSaFQKBYZJTVmzaKBziELku7341i+HBjbipQTQSkkCSulP2hltI0pkOrrAXCuXTPqWK4GUllt0ZRfg0Jxo1ECSaFQKBYZOQvSYFccw5D5dle+ovboOCSv3YsuTEGUC84O5QTSCBebNIz8EiPOlStHjZWrgVReqyxIirmLEkgKhUKxyCgqc6Fba7KFeuP5dtemTQAkLl4cdY4QYsjNZgmksPUNMtKClOnuRsbjYLNhX7p02LFkPEO431wUN1e0UqGYiyiBpFAoFIsMTRMUV+XcbENxSDl3WOry5THPywmhoFUgMiyGt+dINTYC4KitRRRU3oYh65GvxInLO/yYQjGXUAJJoVAoFiGl1ZZAKshkc64xBVKyoRGZSo06J+dKy7nYwlZG20gXW6qhAQDHihWjxlAVtBXzBSWQFAqFYhFSUpPLZBsSSLaaGjSvFzKZfAxRITlLUU4gRTCGtefIW5DGiD/KrQFXtkTFHynmNkogKRQKxSJkrFR/IcSQFWkMN5vHZlqdYpogIQRpYQZ4jxRIyZxAGsOClCtOWVqjBJJibqMEkkKhUCxC8qn+HVGkHMpkc1hxSMlLl0ad47Gb58SFlrciaULDax8udlLjCCQpZd6CpAK0FXMdJZAUCoViEVJc6UFoglQiSyw4FG/kWrsWgOSl0RYkt81cFiSmCcJWBewiRxFCDFXDlqkU6dY2ABwrVww7Px5Ok4imQUCxFQOlUMxVrlsgCSFc0zERhUKhUMwcuk0jYK2D1l8Qh+SYwMWWE0hxIcZdqDbV2grZLJrHg62iYtixnHvNX+bC7tCn6ZUoFDeGKQkkIYQmhPj/hBBtQEQIscpq/2shxEemdYY3GCGERwjRJIT4+9mei0KhUMwkJflMtoJU/zWmBSnV1ISRTA7rPySQtPEFUqMZ3G1fsXyYZQlQ7jXFvGKqFqQ/Bz4E/BFQmAt6Gvjodc5ppvkz4LXZnoRCoVDMNGMtWmurrEArKgLDyIudHHmBpAlC+tgCKd3aCoCjtm7U9QZUgLZiHjFVgfRB4GNSym8D2YL2E8CG657VDCGEWIs53ydney4KhUIx04y1JpsQIr8mW7qleVj/MV1sI2ogpdvM+KORFbShMINNxR8p5j5TFUhLgbFKrWrAtJRGFULcKYT4qRCiXQghhRBvG6PPJ4QQjUKIhBDigBBi7zVe5u+BP5mO+SoUCsV8I2dB6i9I9QdwLFsGQKppHIGkjR+DlG6fhEBSLjbFPMA2xfPOAncAIyuJ/Qpw7LpmNIQX0yL1deDRkQeFEO8Bvgh8HDgAfAp4WgixXkrZbfU5ztiv8X5gD3BRSnlRCHHr1SYjhHACzoKmIoB0Ok06nZ78q7oKubGmc0zF2Kh7PTOo+zwzTOU++8rM37PxUIpIMIbTYz7Xa2sBSDQ2DhvPIRxm/4IYJK/NO6xPyspg06qrhrXHwykSETODzVdmn7fvB/V+nhlu5H2e7JhTFUifBR4WQizFtBq9QwixHtP19qYpjjkMKeWTWK6vkYF+Fr8PfE1K+Q2rz8eBNwK/AXzeGmP7eOMLIW4G3iuEeBfgA+xCiJCU8rPjnPInwF+ObHzmmWfweKbfXLx///5pH1MxNupezwzqPs8M13qfdZeXbELjiR89i7PEqow9OEA10HHsGIefeCLf91LarI0UF4Kk9bncfKWZJ9qH+qxuakIHXq2vJxUdct0l+nTAg+4yeObnT0/txc0h1Pt5ZrgR9zkWi129E1MUSFLKHwsh3gz8BRDFFExHgTdLKW/4u0YI4QB2AZ8rmJMhhPg5cMtkxpBS/gmWe00I8SFg8wTiCOtaXyx4XgS03n///fj9/nFOuXbS6TT79+/nvvvuw25XCzneSNS9nhnUfZ4ZpnqfH284Rdv5QTau2s6GW6oBiNfU0Pb9HxCIxdj20EP5vsd7jvPw/oeJa4KUJZA2b9jMQ5vMPkYkwhXry+ee97zHXLbE4syL7fQerGfp6nIefOiu6369s4V6P88MN/I+h0KhSfWbqgUJKeVLwH1TPf86KQd0oGtEexc3KEhcSpkE8jmvOauW3W6/IX8kN2pcxWjUvZ4Z1H2eGa71PpdWeWk7P0ikL5U/T6xaBUCmowNdSjSH6Vrzu8wfg3Gh5QWS2+7On5fo7gFALy7GWVw87DrBrgQA5UuLFsT7QL2fZ4YbcZ8nO96UBdJCQkr5zdmeg0KhUMwGfqtYZLAnnm/Ty8rQPB6MWIx0aytOSzAVBmnnBJJDd+TPUxlsioXEpAWSEGIAkFftCEgpS6c8o8nRi1leoGpEexXQeYOvrVAoFAuGQKUpWEK9QwJJCIF9+XKS586RamoaJZBiYkgg2bWhX+OTEkgqg00xT7gWC9KnCvbLMItFPg28arXdAjwA/PW0zGwCpJQpIcQR4F7gMTCre1vPv3yjr69QKBQLhUD5kAVJSpkPH3AsW0by3DnSzUOp/jmBJIUgbGWxOfWh5N7xBFIsNJTBptZgU8wXJi2QpJQP5/aFED8E/kJKWShG/lkI8Ung9cA/Xu/EhBA+YE1B00ohxHagX0rZjBkw/bAQ4jBwEFPAeYFvXO+1FQqFYrHgLzeX00zFMySjGVw+0yI0Vi2knEACCFoCaTIutgG1BptiHjLVQpEPAE+N0f4UpkCaDnZj1lTK1VX6orX/WQAp5feAP7CeHwe2Aw9KKUcGbisUCoViHGwOHW+xaQUqjEOyLzOXCkm1tOTbdE3HYbnUgvpEAmnJsGso95piPjJVgdQHvHWM9rdax64bKeXzUkoxxvahgj5fllIul1I6pZT7pJQHpuPaCoVCsZgI5AO1h+rD2KtrAMh0Dg/rdOumxWlMC5LV115TM+wcFaCtmI9MNYvtL4F/F0K8DrOKNcA+4EHgN69/WgqFQqGYKfwVbtovDQ63INWYNZHSXcON8k7dAWnI5mKVNFMgyXSabH8/ALbKymHnBLtN4VVcpQSSYv4wJQuSlRZ/GxAC3mFtIeB2lTKvUCgU84tcoHaoQCDZqk2BZIRCGAUVsQuz1mDIgpTps5wHNhv6yBpI1riBCiWQFPOH6ykUeQB4/zTORaFQKBSzQN7FVpDqr/t8aD4fRiRCuqsrn+pv14Z/beQEU6bHLBJpKy9HaEO/vbNZg3B/cth1FIr5wJQEkhBi2UTHrSwzhUKhUMwDxioWCWCrriJ1OUK6o6NAIDmG9cml+ecFUkXFsOPhvgTSkNjsGp7A8HMVirnMVC1IjUxcNFLlcSoUCsU8IWfZiQVTpFPZfCq+vaqa1OV6Mp1DcUh2ffjXRt7F1t0NjBZIOdHlr3CPt/C4QjEnmapA2jHiud1q+33gz65rRgqFQqGYUVxeO06PjWQsQ6gnTtlSMx3flg/UHspkGzcGqXtsC1KwOxd/pNxrivnFlASSlPLEGM2HhRDtwB8Cj17XrBQKhUIxo/jL3fQ0hwkWCCR7lSmQMh2TEEjjuNhCPUogKeYnU62DNB4XgD3TPKZCoVAobjCBSiuTrXesVP8hgeQYKZC0iQVSrrZSbs03hWK+MNUgbf/IJqAG+Axw6TrnpFAoFIoZpnBNthy2sSxI+rVZkPIp/uXKgqSYX0w1BmmQ0UHaAmgB3ns9E1IoFArFzJPLZAtdpVhkoYtNR0MTpiNiLIEkDUmoNwEMWagUivnCVAXS3SOeG0APcFlKmbm+KSkUCoVipgmMkeo/slik5vUOS/O3WQnLMpvNF4q0VQ4JpMhgkmzGQNMEvhLnDX8NCsV0MlWBJIFXRoohIYRNCHGnlPLF65+aQqFQKGaKnEAK9yUwsgaaro1ZLLLQxWYXpkDKDgxANgtCYCsryx/Pia2icheaPt0hrwrFjWWq79jngNIx2gPWMYVCoVDMI7wBJ7pNwzBkvvI1gK2qCoCM5WYrdLHlLEg595peVoawDf3uzq3BppYYUcxHpiqQBGMXiiwDomO0KxQKhWIOIzSBv9wFjFiTrdT8LZyxFqLNBWXDkAVp3BT/XpXir5i/XJOLTQiRq28kgW8KIZIFh3VgK/DKNM1NoVAoFDNIoMLNQGeMYG+cOqtNtwRSdmAQYMwYpCGBVD5sPFUkUjGfudYYpKD1KIAwULhwTwp4DfjaNMxLoVAoFDPMWJlsekkxAFnLgjTMxZazIPWZx2xlIwSSsiAp5jHXJJCklB8GEEI0An8vpVTuNIVCoVggFJWaLrbIYEEMUs7FNmCKIF0b+tqwW18h2YEB81hJSf6YlHLIgqRS/BXzkKkuNfJX0z0RhUKhUMwu3oCZih8tEEh6yXAXm61AINkKs9gYsjYBxMNp0sksCPCXKYGkmH9MWiAJIY4C90opB4QQxxg7SBsAKeXO6ZicQqFQKGYOb/FYAsm0CuVcbIUWJN3K88kJJFuBBSmX4u8rcaLbVYq/Yv5xLRakHwO5v5rHpn8qCoVCoZhNvMVmAHZ0MImUEiEEtlJLII3hYtNzVbQHR7vY8muwqfgjxTxl0gKp0K2mXGwKhUKx8Mi52DJpg2Qsg8trz4uezBgutiELknlMH8OCpGogKeYrU62kDYAQwgFUMqKekpSy+XrGVSgUCsXMY3PoOL02ktEM0WDSFEj5NP8BpGGgW3FHAAKRPwagFxcIJJXir5jnTMkxLIRYJ4R4CTPNvwlosLZG61GhUCgU85CRgdp5q1A2ixEKoWtDAkkXAplOY4TDVt/i/LFwn7lIrb9cCSTF/GSqFqRvABngTUAHEwRsKxQKhWL+4Ct20t8ezQskzeFA83oxolEyAwPDLEgaGtmgVR5PCHS/P38sGjTPzwV+KxTzjakKpO3ALinl+Wmci0KhUChmmaFMtlS+TS8txYhGyQ4MoPtGCKScey0QQOjmMSnlkEAKDFXeVijmE1PNvTwLlF+1l0KhUCjmFVdL9S90sWkIsoODZp/i4nx7MprByJiOhZzLTqGYb0xVIH0a+IIQ4nVCiDIhhL9wm84JKhQKhWLmyAmkYdW085lsI1xsQiMbCpn7gdHuNZfPrmogKeYtU3Wx/dx6fHZEu8CMR9JRKBQKxbwj5xKLBQssSLlMtv4BbFpdvl0DsoNmDJLuD+Tbc+JKWY8U85mpCqS7p3UWCoVCoZgTjGVBKnSxaWL5UDt63oI0LEA7J5CKVfyRYv4y1bXYXpjuiSgUCoVi9skJpHgohZE10HRtqJr24MgsNkE2ZFmQClxssaCyICnmP1MSSEKIreMckkACaJZSJsfpo1AoFIo5irvIgdAE0pDEQmlzLbVcDFL/AEKIfF9NaBjBXAzSkIstlwGnUvwV85mputiOM3Hto7QQ4nvAb0kpE1O8hkKhUChmGE0TeAMOIgNJooNJSyDlYpD60QpyezQE2VyRyCJVA0mxsJhqesHbgUvAxzBrIm239i8A7wM+AtwD/M11z1ChUCgUM8rIVH/dXwSAEYmgieECKVdFWyvy5dvzMUiqBpJiHjNVC9KfAf9TSvl0QdspIUQr8NdSyr1CiCjwD8AfXO8kbxRCiJXA14EqIAvcLKWMzu6sFAqFYnbJLzdiWYI0rxeAbCw63MWGIBsZw4I0qCxIivnPVAXSFsw12EbSZB0D0w1XM8XxZ4pvAn8upXxJCFEKqLgphUKx6BmZyaZ5PADIaGyYBUkgMELDLUiGIYmFrBgkFaStmMdM1cV2HvhjIUTefiqEsAN/bB0DWAp0Xd/0bhxCiJuAtJTyJQApZb+UMjPL01IoFIpZJ5een1+PzbIgGbEYWkH0qRhmQTLdcPFwCilBCHAX2Wdw1grF9DJVgfQJzIVqW4UQPxdC/Bxotdp+2+qzCvjKVCcmhLhTCPFTIUS7EEIKId42Rp9PCCEahRAJIcQBIcTea7jEWiBiXeOoEOJPpzpXhUKhWEiMjEHKWZAAtGR6aL/QguQrGnaOx+9A01UVbcX8Zap1kF6x4nfeD6yzmn8APCKlDFt9/vM65+YFTmDGCD068qAQ4j3AF4GPAweATwFPCyHWSym7rT7HGfs13m+134EZYN4NPCWEOCSl3D/WZIQQTqDQXlwEkE6nSafTY50yJXJjTeeYirFR93pmUPd5ZpjO++yyFqSNDCZIp9NImw00DQwDGYnn+8msgRE1wzYNt4t0Ok2oLwaAJ+BYkP/n6v08M9zI+zzZMYWUE2Xrzw2EEBJ4u5TysYK2A8AhKeUnreca0AJ8SUr5+UmMeQvwGSnlA9bzPwSQUv7dOP0/A/zlyPZHHnkET8GvK4VCoZjvpCMaXS95ETbJ0vsiAKz+i79ETyZ56ffew5dcPwTg3vAafuvLZlTFpc/+FdLpJNJsZ/CMC1dlmvJdqsqLYu4Ri8V43/veBxCQUobG6zfVIG0AhBCbgGXAsFxOKeVPrmfcSVzXAewCPldwTcNy9d0yyWEOAZVCiBIgCNwJfHWC/p/DtFjlKAJa77//fvz+6VufN51Os3//fu677z7sduW/v5Goez0zqPs8M0znfU7FM3zzpVeRGcF99z6A3anT8A9fJNvdzY51G6HZ7FfuGfrse/Atb0HoOocfb+LomWZWrqvjjofWXtc85iLq/Twz3Mj7HAqNq4mGMdVK2quAH2FmrEnMRWphqHjkjV6stty6xsgg8C5gw2QGkFJmrLijFzHn/4yU8mcT9E9SkOWWS3W12+035I/kRo2rGI261zODus8zw3TcZ7vdjt2pk05mSUUNPD4XutdLFrCns/l+joz5kS8cDhwuFwDxsOm+KCpxL+j/b/V+nhluxH2e7HhTjaD7J6ABqARiwE2YFpjDwOumOOaMI6V8Ukq5RUq5WUr5+7M9H4VCoZgrjJfqr8WH3Ga2jAGAcLvzbWqZEcVCYaoC6RbgL6SUvYABGFLKl4E/Af55uiY3Ab2YhR2rRrRXAZ0zcH2FQqFY0IyX6i9iQ+XibGlTIGmW9QjUMiOKhcNUBZIOhK39XmCJtd8ErL/eSV0NKWUKOALcm2uzgrTvBV690ddXKBSKhU6+mvZIC1Iile9jS5sutkKBFMsJJFUkUjHPmWqQ9mlgG6ab7QDwR0KIFOZ6bFemY2JCCB+wpqBppRBiO9AvpWzGDJh+WAhxGDiImebvBb4xHddXKBSKxcyoWkh5C1ICrGXX7OnhLrZsxsjHIOUsUArFfGWqAulvMMUImKnvPwVeAvqA907DvAB2A88VPM9lkD0MfEhK+T0hRAXwWaAac2mTB6WUc7Z6t0KhUMwX8gIpONyCJBLJvECypYa72HJLjGg2gcurApgV85upFop8umD/ErDBWstsQE5TYSUp5fMMZceN1+fLwJen43oKhUKhGMJTZFqAchahnAWJ2FChSFvegmQKpPwitQHnsEVtFYr5yDUJJCHE1yfRBynlb0x9SgqFQqGYbVw+0wKUiA4XSCI+FKSt54O0TRdboUBSKOY712pB+hBmIPYxrmLdUSgUCsX8JeciS0QsgZRzscWG0vztVpq/lrMg5TPYVPyRYv5zrQLpX4BfBVZiBkP/l5Syf9pnpVAoFIpZJW9BiqSRUg652ArqIOlWDJLIW5CsGkjKgqRYAFxTmr+U8hNADfAF4M1AixDi+0KIB4RyOCsUCsWCISeQDEOSTmTRvNaak8NikMyq2rkgbVUDSbGQuOY6SFLKpJTyO1LK+4BNwBngK0CjlZqvUCgUinmO3aFjs5tfEfFIeswgbd0SSKODtJWLTTH/mWqhyBwGQ2ux3ej11xQKhUIxgxQGaudikCiIQRoVpB00XWweZUFSLACuWSAJIZxCiF8VQuwHLmIuWPtJYJmUMjLdE1QoFArF7FAYh5SzIMlYLH9cT1kuNnduoVpLIBUpC5Ji/nOtaf5fwSwE2cL/397dh0dZ3fv+f39nJk8EfEBAwArkAoutUkUiPRWlUisP1WM9XhW7azli3e2Gmp+H2h1Fzm/bX20bObFai1rcctwEd61VN7W17gKmbpFKW0Ft0ipqq222j0jZVhMIJJOZ9fvjnklmJpPJTMjMJHc+r+uai8yada97zZo7zDfr4V7wL8DfxfZjExERn+lZydZJYLzXg+QO9e5BsvIKXNTREbslgG4SKX6Q6yq2FcDreNuJfBL4ZLq52c65S468aiIiUkwV3UNsXQSmxeYgHWyPTayw7jlIgYpyOg93Eb9NcFnlQDdpEBk6cr2K78P71RAREZ+L9wQdOtBJoPIYLzESIRQJ0hVKmKRdXt59Q8lQaYBQiaakyvCXU4DknFuep3qIiMgQU57YgxTbkBagohPaQgmTtCsqaD/Y5R2j4TXxiSNdxSYiIj7VM0m7EwuFsNj9jsq9udg9Q2wJPUjxY0SGOwVIIiKSVq/92GJL/bsDpM74EFtF9wTtslEKkMQfFCCJiEhaFZXecv3u/dhiS/17epBiQ2yjKnp6kDTEJj6hAElERNKK9yAdStmwtqLTW6sTSBxiOxAPkLSCTfxBAZKIiKSVOMSWuGFtuRcLJWw1UsHhdk3SFn9RgCQiIml1b1jb5Qh3RHp6kDogGHEEorGepIQepDIFSOITCpBERCStktIgwdiGtYcPhLFyb4+10i4oDffks4oKOto1B0n8RQGSiIj0qSJxw9pSb9J2KAJlXbEMgQBWUqI5SOI7CpBERKRP8WX7hw+GsZKEACnWgxQoL8fMtIpNfEcBkoiI9Km0wts2pPNQBIv1IJVEeobYLHaH7Y74JG3dKFJ8QgGSiIj0qbTCGzLrPNyFlXjBT0mXS+pBikai3QGSbhQpfqEASURE+lRaHguQDnV19yCFolDW5a1gs4pyOg51defXHCTxCwVIIiLSp54epJ4htlDCKrZAeUX3BO3S8iCBoL5WxB90JYuISJ9Ky2NzkA53Jc1BShxiO3xQ84/EfxQgiYhIn5KG2OJzkBICJKvQRrXiTwqQRESkT91DbAmr2EIR72aREO9Bii3xVw+S+IgCJBER6VN8mX/4cBdW6gVAoUjPfmxW0RMglY3SBG3xDwVIIiLSp/gQW0fCKraSlEnanbFVbGUVCpDEPxQgiYhIn3omaUeStxoJxzaqrSin83DEy6sASXxEAZKIiPQpHvSEE28UGXHdc5CsrLy7Byne2yTiBwqQRESkT+mG2EIRCHqdRlhJCZ2HYwGSepDER0Z0gGRmXzOzF81sj5mtMzMrdp1ERIaSnh6kCCQs8w9FvdctFEyYgxQsSh1F8mHEBkhmNh6oAeYAs2L//reiVkpEZIgpTQh6uqznTtqBWIBEMNQ9B6lEQ2ziIyM2QIoJAeVASeyxr7jVEREZWoKhAIGg17kedl4AVBKBYHcPUkir2MSXhmyAZGbzzeznZva2mTkzuzhNnqvNrMXMDpvZM2Y2N9vynXN/Bb4LvA68DfzSOffaoL0BEREfMLPueUhdsQAplBQg9QyxaQ6S+MmQDZCASqAZuDrdi2Z2GXAb8E3gjFjebWY2ISFPk5m9kOYx2cyOBS4EpgEnAGeZ2fz8viURkeGn+2aRzvs3sQeJUIiO7mX+moMk/jFkw33n3BZgC3h/waRxLbDBObcxlmcFcAHwJWBtrIzT+yrfzC4FXnXOvRd7/u94c5B29JG/DChLSBoDEA6HCYfDObyzzOJlDWaZkp7aujDUzoWRz3Yuid0L6XCn9zyxB6nLGV0dXoAUCPn/c9b1XBj5bOdsyxyyAVImZlaKN6n65niacy5qZr8EPpFlMW/g9RqVA2HgXOCeDPlvAL6Rmvj4448zatSoLE+ZvcbGxkEvU9JTWxeG2rkw8tHObQcrgBDNf3iJWXh30o4HSL9/8RXgeACe2N6IDeVxiUGk67kw8tHO7e3tWeUblgESMA4IAu+mpL8LnJxNAc6535rZL4DfAVHgCeDRDIfcjDekFzcGeHPhwoUcddRRfR4UiUTo6urCOZdNtejq6uLXv/41Z511FqHQcP14hod8tbWZEQqFCAY13ADeX2uNjY2cf/75lJRoM9N8yWc7b33jRV7/23t8+ORTAa8HKb6K7aRTTueVX0GwJMAFF35mUM87FOl6Lox8tnNra2tW+Ub0N7Bz7n8D/zvLvB1AR/x5fNivpKQk7YfnnGPv3r28//77udaJiRMn8s477/Q1tCiDJN9tfcwxxzBx4kR9jjF9/a7I4MpHO5eP8sqLRL2gP+igtMv7o8/Flv6XVoRG1Oer67kw8tHO2ZY3XAOk/UCEeL9uj+OBvYWvTm/x4GjChAmMGjUq6y/JaDTKgQMHGD16NIHACOmrLpJ8tbVzjvb2dvbt8+4aMWnSpEErW6QY4qvYwuGe/8fKYtM44ivb4nu2ifjFsAyQnHOdZvYccB7wUwAzC8Se31nEqgHesFo8ODruuONyOjYajdLZ2Ul5ebkCpDzLZ1tXVFQAsG/fPiZMmKDhNhnWuu+mHe6ZKtATIHm/O9qHTfxmyF7RZjYamJGQVGVmpwPvOedex5sPtMnMngV2Aavwbg2wscBV7SU+Qz4fk7dl+Ih//uFwWAGSDGvx5fudHdHutPJYgBSOBgFHSZmucfGXIRsgAdXAkwnP4xOkNwHLnXMPxrYLuQmYCDQBi51zqRO3i0ZzT0Y2ff7iF91DbIcjUFoKnZ2UxZb8d0UDQKT7VgAifjFkAyTn3HYg4zeMc+5OhsCQmoiIn8WH2DoPd2GlpbjOzp4htniApB4k8RlNchERkYziE7A7DkWwktikbO/ekHRFvL9jSxUgic8oQBIRkYzivUPhjggWSl4iHY4EYnmG7ICEyIAoQJIky5cvx8x6PRYvXlzsquXN2rVrOfPMMxkzZgwTJkzg4osv5pVXXil2tUSGjFCpFyBFwhFIWXDQFetJ0hwk8RsFSNLL4sWLeeedd5IeDzzwQNq8nZ2dOaX3J5fjurq6BnSOVE899RRXX301v/3tb2lsbCQcDrNw4UIOHjw4KOWLDHfBEu+roqszigWTvza6umI3zdUQm/iM+kQLwDnHoXAkq7zRaJRDnRFCnV2Dcm+eipJgzqupysrKmDhxYtrXzj33XE499VRCoRA//OEPmTVrFk8++WSf6R0dHdTW1vLjH/+Y1tZWqqur+d73vseZZ56ZsbxULS0tVFVV8eCDD3LHHXewa9cuHnjgAS655JLcGyXFli1bktq6oaGBCRMm8NxzzzF//vwjLl9kuAvFA6RwFAsmf22EY3+nKEASv1GAVACHwhE+euO2opx7z02LGFU6uB/zpk2bWLlyJTt37uw3/brrrmPz5s1s2rSJqVOnUl9fz6JFi3j11VcZO3ZsxvISNTc3A3DLLbdQV1dHVVUV48ePT8pTV1dHXV1dxrrv2bOHKVOmZMzzwQcfAHTXT2Sk6xlii0Io/RBbPI+IXyhAkl4ee+wxRo8enZS2Zs0a1qxZA8BJJ51EfX19r+NS0w8ePMj69etpaGhgyZIlAGzYsIHGxkbuvfdeamtrM5aXqKmpicrKSh5++GGmTZuWNs+KFStYunRpxnImT56c8fVoNMqqVauYN28ep556asa8IiNFvAcp0hXtPQcpdndt9SCJ3yhAKoCKkiB7blqUVd5oNEpbaxtjjhozaENsuVqwYAHr169PSkvsTZkzZ07a41LTX3vtNcLhMPPmzetOKykpYe7cubz00kv9lpeoubmZiy66qM/gKF7HI+31ufrqq3nhhRd4+umnj6gcET+Jz0ECiAbLk17rim1aGyrVlFbxFwVIBWBmWQ9zRaNRukqDjCoNFW0vtsrKSmbMmJHx9VzSszlff5qamli9enXGPEc6xFZTU8Njjz3Gjh07+NCHPtRvnURGilBigFRSmvRaWD1I4lMKkCRvpk+fTmlpKTt37mTq1KmAty/Z7t27WbVqVdbltLa20tLSwuzZszPmG+gQm3OOmpoaHnnkEbZv305VVVXWdRMZCQLBAIGAEY06osHypC0ONMQmfqUASXrp6Ohg7969SWmhUIhx48blVE5lZSUrV66ktraWsWPHMmXKFOrr62lvb+eqq67Kupzm5maCwSCzZs3KmG+gQ2w1NTU88MAD/OxnP2PMmDHd7/3oo4+moqIi5/JE/ChYGiB6OIILliQHSJ3eBrYKkMRvFCBJL1u3bmXSpElJaTNnzuTll1/Ouay1a9cSjUZZtmwZbW1tVFdXs23bNo499tisy2hubmbmzJmUl5f3n3kA7r77bsC75UCijRs3snz58rycU2S4CZUECB+OEAmWJt1ALxwLkLSKTfxGAZIkaWhooKGhoc/Xt2/fnlN6eXk569atY926dTkdl6impoaampp+8w1UJBIp2nwvkeEiPlE7GuyZg+QwohFN0hZ/0hUtIiL9CsVWxCYGSNFAz9/YwZC+TsRfdEWLiEi/4j1ELilA6tm4NvFWACJ+oCtaRET61X2zyGBPUBQJeT+bQSCQ25ZGIkOdAiQREelXMD7EZr0DpGAokPOejyJDnQIkERHpV3yILZrQgxSfj6ThNfEjXdUiItKvUGwSdiShByma0IMk4je6qkVEpF/BeA+S9dzvKKIASXxMV7WIiPQrvsw/Yj1L+zXEJn6mq1pERPoVX8UWTQyQQt7P6kESP9JVLSIi/YpP0k7bgxTSCjbxHwVIkmT58uWYWa/H4sWLi121gli7di1mxqpVq4pdFZEhJd5LFCExQIrNQdIQm/iQ9mKTXhYvXszGjRuT0srKytLm7ezspLS0NOv0/uRyXFdXF6HQ4F3Cu3fv5p//+Z/52Mc+NmhlivhFfDPaKAmTtAMaYhP/0lVdCM5B58HsH+H23PJnejiXc3XLysqYOHFi0uPYY48FvB3va2pqWLVqFePGjWPRokUZ0zs6OrjmmmuYMGEC5eXlnH322ezevbv7XH0dl6qlpQUz46GHHuKcc86hrKyMRx99NOf31pcDBw5w+eWXs2HDhu73KiI94r1EkYRVbOpBEj9TD1IhhNuhbnJWWQPAMYN57jVvQ2nlYJbIpk2bWLlyJTt37uw3/brrrmPz5s1s2rSJqVOnUl9fz6JFi3j11VcZO3ZsxvISNTc3A3DLLbdQV1dHVVUV48ePT8pTV1dHXV1dxrrv2bOHKVOm9Eq/+uqrueCCC/j0pz/Nt7/97cwNIDICdU/Sdj3BkAuqB0n8SwGS9PLYY48xevTopLQ1a9awZs0aAE466STq6+t7HZeafvDgQdavX09DQwNLliwBYMOGDTQ2NnLvvfdSW1ubsbxETU1NVFZW8vDDDzNt2rS0eVasWMHSpUszljN5cu9A9cc//jHPP/98Us+WiCSLD7FFEgKkSED3QRL/UoBUCCWjvJ6cLESjUVrb2jhqzBgCgUH4T6dkVM6HLFiwgPXr1yelxXt7AObMmZP2uNT01157jXA4zLx583qqU1LC3Llzeemll/otL1FzczMXXXRRn8FRvI6J9czGm2++yde+9jUaGxspLy/P6ViRkaR7s9qEAElDbOJnCpAKwSz7Ya5oFEoiXv7BCJAGoLKykhkzZmR8PZf0bM7Xn6amJlavXp0xz0CG2Jqbm9m3bx9nnHFGd1okEmHHjh3ceeeddHR0EAwG0xUlMqIE0wVIpiE28S8FSJI306dPp7S0lJ07dzJ16lQAwuEwu3fvzmkZfWtrKy0tLcyePTtjvoEMsc2fP5/m5uak3rorr7ySk08+meuvv17BkUhM2h6k7iE23QdJ/EcBkvTS0dHB3r17k9JCoRDjxo3LqZzKykpWrlxJbW0tY8eOZcqUKdTX19Pe3s5VV12VdTnNzc0Eg0FmzZqVMd9AhtjGjBnDCSeckBQgVVZWctxxx3HqqafmVJaIn6Wbg+QCXpp6kMSPFCBJL1u3bmXSpElJaTNnzuTll1/Ouay1a9cSjUZZtmwZbW1tVFdXs23btpyW0jc3NzNz5kzNERIpop4htp7eou4hNs1BEh8aEQGSmT0CnAs84Zz7XMprFwK34q2w/z/Ouf9b+BoOHQ0NDTQ0NPT5+vbt23NKLy8vZ926daxbty6n4xLV1NRQU1PTb77Bkk2dREaa7iG2aE+A5DQHSXxspFzV3wf+Z2qimYWA24BPAbOBWjM7rsB1ExEZ8rqH2KKapC0jw4i4qp1z24G2NC/NBV50zr3lnDsAbAEWFrJuIiLDQTwIijrD4fUiRWN31Q5piE18qOhXtZnNN7Ofm9nbZubM7OI0ea42sxYzO2xmz5jZ3EE6/WTgrYTnbwEnDFLZIiK+ESpNXL3m9Rw5040ixb+GwlVdCTQDV6d70cwuwxsG+yZwRizvNjObkJCnycxeSPPIbn8PERHJKLGXKL68P96DpGX+4kdFn6TtnNuCN7SFWdpfsmuBDc65jbE8K4ALgC8Ba2NlnD7A079Nco/RCcCudBnNrAxI3NJ+DHj39QmHw0l5w+Ewzjmi0SjRaDSnCrnY5rLx4yV/8t3W0WgU5xzhcHhE308p/vuR+nsig6sQ7WwBw0VdT4AU/woJuBHz+ep6Lox8tnO2ZRY9QMrEzEqBOcDN8TTnXNTMfgl8YhBOsQs41cxOAD4AlgDf6iPvDcA3UhMff/xxRo1K3s4jFAoxceJEDhw4QGdn54Aq1taWbsqU5EO+2rqzs5NDhw6xY8cOurq68nKO4aSxsbHYVRgR8trONhowIsFSoGdF2++anufldyL5O+8QpOu5MPLRzu3t7VnlG9IBEjAOCALvpqS/C5ycbSGxgOo0oNLM3gQudc79xjnXZWZfB57EG26sd879Vx/F3Iw31Bc3Bnhz4cKFHHXUUUkZDx8+zBtvvMHo0aNzvnePc462tjbGjBnTV4+aDJJ8t/Xhw4epqKhg/vz5I/oeTuFwmMbGRs4//3xKSkqKXR3fKkQ73/er33L4QLi7B4lYoDT3v83lxI9kf2+z4UzXc2Hks51bW1uzyjfUA6RB4Zz7dIbXHgUezaKMDqAj/jz+hVpSUtLrw4tEIpgZgUAg5w1n40M98eMlf/Ld1oFAADNLe42MRGqHwshnO8cnascDpPh9kMrKRt5nq+u5MPLRztmWN9S/gfcDEeD4lPTjgb29s4uISL6ESmL3QuqegxSbpK1l/uJDQ/qqds51As8B58XTzCwQe/6bYtVLRGQk6qsHScv8xY+KflWb2WgzO93MTo8lVcWeT4k9vw34spldYWYfAdbj3RpgYxGq63vLly/HzHo9Fi9eXOyq5dVbb73FF7/4RY477jgqKiqYNWsWzz77bLGrJTKkxJf6R4MpPUgKkMSHhsIcpGq8SdJx8YnQm4DlzrkHzWw8cBMwEWgCFjvnUiduyyBZvHgxGzcmx59lZWVp83Z2dlJaWpp1en9yOa6rq4tQ6Mgv4b/97W/MmzePBQsWsGXLFsaPH8+f/vSnnDbUFRkJgilDbE5DbOJjRQ+QYtuAZFxC5Jy7E7izIBXKA+cch7oOZZU3Go1yqOsQoXBoUCYOV4Qqcl6hVVZWxsSJE9O+du6553LqqacSCoX44Q9/yKxZs3jyySf7TO/o6KC2tpYf//jHtLa2Ul1dzfe+9z3OPPPMjOWlamlpoaqqigcffJA77riDXbt28cADD3DJJZfk3igp6uvrOfHEE5OCwqqqqiMuV8RvunuQAt4fMfH7IKkHSfyo6AHSSHCo6xAf/9HHi3LuZ77wDKNKRvWfMQebNm1i5cqV7Ny5s9/06667js2bN7Np0yamTp1KfX09ixYt4tVXX2Xs2LEZy0vU3NwMwC233EJdXR1VVVWMHz8+KU9dXR11dXUZ675nzx6mTJmSlPbzn/+cRYsWcemll/LUU09xwgkn8NWvfpUvf/nL/TeGyAgSD4RcIOjtx2be82CJbkki/qMASXp57LHHGD16dFLamjVrWLNmDQAnnXQS9fX1vY5LTT948CDr16+noaGBJUuWALBhwwYaGxu59957qa2tzVheoqamJiorK3n44YeZNm1a2jwrVqxg6dKlGcuZPLn37jN//vOfWb9+Pddeey1r1qxh9+7dXHPNNZSWlnLFFVdkLE9kJAkEezapje/HBupBEn9SgFQAFaEKnvnCM1nljUaj3TcvHKwhtlwtWLCA9evXJ6XFe3sA5syZk/a41PTXXnuNcDjMvHnzutNKSkqYO3cuL730Ur/lJWpubuaiiy7qMziK1zGxntmKRqNUV1d39z7Nnj2bF154gbvvvlsBkkiCQGzPNWehnptFojlI4k8KkArAzLIe5opGo3SFuhhVMqpoN4qsrKxkxowZGV/PJT2b8/WnqamJ1atXZ8wz0CG2SZMm8dGPfjQp7SMf+QibN2/ut14iI0kwGJ+DFOjpQTIIBDTEJv6jAEnyZvr06ZSWlrJz506mTp0KeLeP3717N6tWrcq6nNbWVlpaWpg9e3bGfAMdYjvrrLN45ZVXktL++Mc/dtdZRDzxITavB6lngra2RRI/UoAkvXR0dLB3b/KNykOhEOPGjcupnMrKSlauXEltbS1jx45lypQp1NfX097ezlVXXZV1Oc3NzQSDQWbNmpUx30CH2FatWsXZZ59NXV0dS5cuZdeuXdxzzz3cc889OZcl4meB+CRtCxKN3SQypOE18SkFSNLL1q1bmTRpUlLazJkzefnll3Mua+3atUSjUZYtW0ZbWxvV1dVs27Ytp3sMNTc3M3PmzLxt+HrmmWfyyCOPcMMNN3DTTTdRVVXF7bffzuWXX56X84kMV92TtAPB7jlIAU3QFp9SgCRJGhoaaGho6PP17du355ReXl7OunXrWLduXU7HJaqpqaGmpqbffEfiwgsv5MILL8zrOUSGu/gcJGchXPcQm4bXxJ8U+ouISFaSe5DiQ2zBYlZJJG8UIImISFaC3cv8e4bY1IMkfqUASUREshKIL/NPuFGkbhIpfqUrW0REstK9zD8Q6l7FpgBJ/EpXtoiIZCWYuMw/PsSmZf7iU7qyRUQkK+kmaasHSfxKV7aIiGQlkLDMXwGS+J2ubBERyUp8xVrUevZi0xCb+JWubBERyUp3D1IgsQdJy/zFnxQgSZLly5djZr0eixcvLnbV8iYSifBP//RPVFVVUVFRwfTp0/nWt76Fc67YVRMZUrrnIFkQZ/H7IOlrRPxJW41IL4sXL2bjxo1JaWVlZWnzdnZ2UlpamnV6f3I5rquri1DoyC/h+vp61q9fz6ZNmzjllFN49tlnufLKKzn66KO55pprjrh8Eb/oXuav+yDJCKArW3opKytj4sSJSY/45rLnnnsuNTU1rFq1inHjxrFo0aKM6R0dHVxzzTVMmDCB8vJyzj77bHbv3t19rr6OS9XS0oKZ8dBDD3HOOedQVlbGo48+Oijv99e//jWf/exnueCCC5g2bRqf+9znWLhwIbt27RqU8kX8oidA0hwk8T9d2QXgnCPa3p7949Ch3PJneORjmGjTpk2Ulpayc+dO7r777ozp1113HZs3b2bTpk08//zzzJgxg0WLFvHee+/1W16i5uZmAG655RZuvPFGXnzxRc4777ykPHV1dYwePTrj4/XXX+9V9llnncUTTzzBH//4x+5zPf300yxZsuTIGkrEZwKB+I0i1YMk/qchtgJwhw7xyhlzcjrm3UE698znn8NGjcrpmMcee4zRo0cnpa1Zs4Y1a9YAcNJJJ1FfX9/ruNT0gwcPsn79ehoaGrqDjQ0bNtDY2Mi9995LbW1txvISNTU1UVlZycMPP8y0adPS5lmxYgVLly7NWM7kyZN7pV1//fW0tbVx8sknEwwGiUQifOc73+Hyyy/PWJbISNOzzD+As2AsTZO0xZ8UIEkvCxYsYP369UlpY8eO7f55zpz0wV5q+muvvUY4HGbevHndaSUlJcydO5eXXnqp3/ISNTc3c9FFF/UZHMXrmFjPbD300EPcf//9/OhHP+KUU06hqamJVatWMXnyZK644oqcyxPxq8Q5SM68YMkCCpDEnxQgFYBVVDDz+eeyyhuNRmlta+OoMWMIBI6869oqKnI+prKykhkzZmR8PZf0bM7Xn6amJlavXp0xT11dHXV1dRnz7NmzhylTpiSlXX/99axevZrPf/7zAMyaNYv//M//5Oabb1aAJJIgHgx5q9jUgyT+pgCpAMws+2GuaJRAVxeBUaMGJUAqpunTp3fPLZo6dSoA4XCY3bt3s2rVqqzLaW1tpaWlhdmzZ2fMN9Ahtvb29l5tHQwGiUajWddRZCRInKQd70EKBof3/1MifVGAJL10dHSwd+/epLRQKMS4ceNyKqeyspKVK1dSW1vL2LFjmTJlCvX19bS3t3PVVVdlXU5zczPBYJBZs2ZlzDfQIbYLL7yQ73znO0yZMoVTTjmF3/3ud9x222186UtfyrksET/rnqRtQaLqQRKfU4AkvWzdupVJkyYlpc2cOZOXX34557LWrl1LNBpl2bJltLW1UV1dzbZt27pvG5CN5uZmZs6cSXl5ec7nz8a6dev4xje+wVe/+lX27dvH5MmT+Yd/+AduvPHGvJxPZLhK6kEKeAGS5iCJXylAkiQNDQ00NDT0+fr27dtzSi8vL2fdunWsW7cup+MS1dTUUFNT02++gRozZgy33347t99+e97OIeIH8QCpq6SS/eNOS0oT8RsNHouISFbS9RYFFSCJTylAEhGRrKSbkB3QJG3xKV3ZIiKSlXQ9SJqDJH6lAElERLISSBMMaQ6S+JUCJBERyYqlCYYUIIlfjYgAycweMbO/mdm/paSfaGbbzWyPmf3ezC4tVh1FRIY69SDJSDIiAiTg+8D/TJPeBaxyzn0UWAjcbmYD2y9DRMTnLM03hiZpi1+NiCvbObcdaEuT/o5zrin2815gP5D7rZhFREaAtD1ImqQtPlX0AMnM5pvZz83sbTNzZnZxmjxXm1mLmR02s2fMbG4e6jEHCDrn3hjsskVE/CDdijUNsYlfFT1AAiqBZuDqdC+a2WXAbcA3gTNiebeZ2YSEPE1m9kKaR++dSdOfYyxwH/CVI3wvIiK+ZaYASUaOom814pzbAmyB9L98wLXABufcxlieFcAFwJeAtbEyTh/o+c2sDPgpsNY59+t+8pUlJI0Bb3f6cDiclDccDuOcIxqN5rwjvHOu+99i7CZ/5ZVXct999/VKX7hwIVu2bCl4ffIp3tZPPfUUt956K88//zzvvPMOmzdv5uKLL+6V/wc/+AHf/e532bt3L6eddhrf//73mTu3787MaDSKc45wOEwwGMzX2xjy4r8fqb8nMriK1c6RaGREfba6ngsjn+2cbZlFD5AyMbNSYA5wczzNORc1s18CnxiE8g1oAP7DOfev/WS/AfhGauLjjz/OqFGjktJCoRATJ07kwIEDdHZ2DqhubW29pkwVRDgc5rzzzuOuu+5KSi8rK6O1tbVX/s7OTkpLS7NO708ux3V1dREKHfklvH//fk4++WQ+//nPs2zZMg4dOtTrvf7kJz/h61//Orfddhtz5szh7rvvZvHixezevZvx48f3+V4OHTrEjh076OrqOuJ6DneNjY3FrsKIkP92HpP0bOfOpykZU/g/5opN13Nh5KOd29vbs8pn8b+ihwIzc8D/cM79NPZ8MvAWcJZz7jcJ+eqBTzrnPp5lub8ETsMbznsPuNQ59xszOxvYAfw+Ifsy59wf0pSRrgfpzf3793PUUUcl5T18+DBvvPEG06ZNy3kHeuccbW1tjBkzpq8etby68soref/993nkkUfSvv6pT32KU045hVAoxP3338+sWbN44okn+kzv6Ojguuuu48EHH6S1tZXq6mpuvfVWzjzzzIzlpWppaWH69Ok88MAD3HXXXezatYv777+fSy65ZMDvNV1bB4PBtD1In/jEJ6iuruaOO+4AvN6hqVOnUlNTw/XXX5+2/MOHD9PS0sKJJ56Y83XgJ+FwmMbGRs4//3xKSkqKXR3fKlQ73/P//Crp+WX/VM3REyrydr6hRtdzYeSznVtbWxk3bhzA0c653n/5xwzpHqTB4pz7dB/pT5PlPCznXAfQEX8e/0ItKSnp9eFFIhHMjEAgQCAQwDlHV2d2f2FFo1G6OiN0dUYJBI58ilioNJBToGVm3XXvy3333cfKlSvZuXMnQHfedOmrV6/mJz/5CZs2bWLq1KnU19ezZMkSXn31VcaOHZuxvER/+IMXs956663U1dVRVVXF+PHjk/LW1dVRV1eX8f3t2bOHKVOmAHQPYaa+3/jnFtfZ2clzzz3HDTfc0J0eCAT49Kc/zW9/+9s+2yoQ8No+3TUyEqkdCqPQ7Vw+qnREfq66ngsjH+2cbXlDPUDaD0SA41PSjwf2Fr46A9PVGeWe//VUUc79le9/kpKy3Oa/PPbYY4wePTopbc2aNaxZswaAk046ifr6+l7HpaYfPHiQ9evX09DQwJIlSwDYsGEDjY2N3HvvvdTW1mYsL1FTUxOVlZU8/PDDTJs2LW2eFStWsHTp0ozlTJ6c1bz9JPv37ycSiXD88cmX4fHHH8/LL7+cc3kifjLq6LL+M4kMQ0M6QHLOdZrZc8B5eBOpMbNA7PmdRayary1YsID169cnpcV7ewDmzJmT9rjU9Ndee41wOMy8efO600pKSpg7dy4vvfRSv+Ulam5u5qKLLuozOIrXMbGeIpJ/ug+S+FXRAyQzGw3MSEiqMrPTgfecc6/jLfHfZGbPAruAVXhziTYWuKoDFioN8JXvfzKrvNFolLa2VsaMOWrQhthyVVlZyYwZMzK+nkt6NufrT1NTE6tXr86YJ9chtmyNGzeOYDDIu+++m5T+7rvvMnHixJzKEvGTCVPH9J9JZJgqeoAEVANPJjy/LfbvJmC5c+5BMxsP3ARMBJqAxc655G+rIczMsh7mikaNUEeQkrLgoARIxTR9+nRKS0vZuXMnU6dOBbyJd7t372bVqlVZl9Pa2kpLSwuzZ8/OmC9fQ2ylpaXMmTOHJ554onvydjQa5YknnqCmpibn8kT84rNfy/w7KTKcFT1Aim0DkrGP1jl3JxpSK5iOjg727k2e4hUKheKz/rNWWVnJypUrqa2tZezYsUyZMoX6+nra29u56qqrsi6nubmZYDDIrFmzMuYb6BDbgQMH+POf/9z9/C9/+QtNTU3ddQa49tprueKKK6iurmbu3LncfvvtHDx4kCuvvDLn84kMZx89ezJ7nn6bjy34EKXlRf8KEckbXd3Sy9atW5k0aVJS2syZMwc0IXnt2rVEo1GWLVtGW1sb1dXVbNu2jWOPPTbrMpqbm5k5c2belso/++yznHfeed3Pr732WgCuuOIKGhoaALjsssv461//yo033sjevXs5/fTT2bp1a6+J2yJ+N/+yDzNjzgQmzTi62FURyashdR+k4cTMjgI++OCDD9LeB+kvf/kLVVVVOX+pR6NRWltbOeqowZmDJH3Ld1sfyXXgJ+FwmF/84hd85jOf0bLoPFI7F4bauTDy2c6tra0cffTR0M99kPQNLCIiIpJCAZKIiIhICgVIIiIiIikUIImIiIikUICUR5oAP7Lp8xcRGb4UIOVBfMZ9e3t7kWsixRT//LXSRURk+NF9kPIgGAxyzDHHsG/fPgBGjRqFWXb7FUWjUTo7Ozl8+LCW+edZvtraOUd7ezv79u3jmGOOIRjMbbNgEREpPgVIeRLfoyseJGXLOcehQ4eoqKjIOqiSgcl3Wx9zzDHaq01EZJhSgJQnZsakSZOYMGEC4XA46+PC4TA7duxg/vz5GprJs3y2dUlJiXqORESGMQVIeRYMBnP6ogwGg3R1dVFeXq4AKc/U1iIi0hdNchERERFJoQBJREREJIUCJBEREZEUmoN0hFpb+9wIeEDC4TDt7e20trZqXkyeqa0LQ+1cGGrnwlA7F0Y+2znb723T3X4HxsxOAN4sdj1ERERkQD7knHurrxcVIA2QeTfOmQy0AbuAuWmyZZue+HwMXuD1oVjZhdBXPfNxbH/5B/p6uvRM7QyFb+sjaedcj88mb6Y8R9LOqWlqZ7XzkR6vdi7M8YVs53TphWznMcDbLkMQpCG2AYo16lsAZhZ1zvXqs8s2PfF5wg0L29Idmw991TMfx/aXf6Cvp0vP1M6x5/EfC9LWR9LOuR6fTd5MeY6knVPT1M5q5yM9Xu3sv3ZOl17gdu63TE3SHhx3HWF6X/kK5UjOn+ux/eUf6Ovp0v3Uzrken03eTHmOpJ2zPX++qJ0LQ+1cGH5t53Tpxf4/OomG2IYYMzsK+AA4ulA9SCOV2row1M6FoXYuDLVzYQyFdlYP0tDTAXwz9q/kl9q6MNTOhaF2Lgy1c2EUvZ3VgyQiIiKSQj1IIiIiIikUIImIiIikUIAkIiIikkIBkoiIiEgKBUgiIiIiKRQgDXNm9oiZ/c3M/q3YdfETM7vQzF4xsz+Z2d8Xuz5+pes3/8zsRDPbbmZ7zOz3ZnZpsevkV2Z2jJk9a2ZNZvaCmX252HXyMzMbZWb/aWbfzUv5WuY/vJnZuXh7ylzhnPtccWvjD2YWAvYAC/BuVPYccJZz7r+KWjEf0vWbf2Y2CTjeOddkZhPxrucPO+cOFrlqvmNmQaDMOdduZpXAC0C1/u/IDzP7DjADeMM594+DXb56kIY559x2Crep7UgxF3jROfeWc+4AsAVYWOQ6+ZKu3/xzzr3jnGuK/bwX2A+MLWqlfMo5F3HOtceelgEWe8ggM7OTgJPx/n/OCwVIeWRm883s52b2tpk5M7s4TZ6rzazFzA6b2TNmdiS7NguD0u6TiW1EHPMWcEKeqz3s6PoujMFsZzObAwSdc2/ku97D0WC0dWyYrRlvJ/pbnHP7C1T9YWOQrunvAjfks54KkPKrEmgGrk73opldBtyGdzv1M2J5t5nZhIQ88bHs1MfkAtR/uDridpesqJ0LY1Da2czGAvcBX8lrbYe3I25r59z7zrnTgCrgC2Z2fN5rPfwcUTub2WeBPzrn/pjXWjrn9CjAA3DAxSlpzwB3JjwP4PVWrM6x7HOBfyv2exyKj4G0O3AW8EjC67cDXyj2exnKjyO5vnX95r+d8YZ7dgDLiv0ehstjMP7PBn4AfK7Y72UoPwb4f/TNwBtAC96Q8QfAjYNdN/UgFYmZlQJzgF/G05xz0djzTxSrXn6XZbvvAk41sxPMbDSwBNhW6LoOZ7q+CyObdjYzAxqA/3DO/WsRqukLWbb18WY2Jvbz0cB84JXC13b4yqadnXM3OOdOdM5NA/4R2OCcu2mw6xIa7AIla+OAIPBuSvq7eBPPsmJmvwROAyrN7E3gUufcbwatlv7Tb7s757rM7OvAk3h/udQ7rULJVVbXt67fI5ZNO88DLgN+nzDXY5lz7g8FqaF/ZNPWU4F7YkGpAXeonXM2KN+Ng0EB0jDnnPt0sevgR865R4FHi10Pv9P1m3/OuafRfNOCcM7tAk4vdj1GEudcQ77K1i9N8ewHIkDqBL7jgb2Fr86IoXYvDLVzYaidC0dtXRhDpp0VIBWJc64T74Zt58XTzCwQe64hhjxRuxeG2rkw1M6Fo7YujKHUzhpiy6PYBN8ZCUlVZnY68J5z7nW8ZYybzOxZvInBq/CWP24scFV9Re1eGGrnwlA7F47aujCGTTsXe4mfnx94y5ddmkdDQp4a4D+BDryljR8vdr2H+0Ptrnb200PtrLb222O4tLP2YhMRERFJoTlIIiIiIikUIImIiIikUIAkIiIikkIBkoiIiEgKBUgiIiIiKRQgiYiIiKRQgCQiIiKSQgGSiIiISAoFSCIiIiIpFCCJiOSJmZWa2atmdlaeyt9uZrcP8NhxZrbPzD40yNUS8QUFSCKSFTNrMDOX5jGj/6NHrBXAX5xzvy7kSc3sSTP7+0x5nHP7gfuAbxamViLDiwIkEcnFVmBSyuMvqZnMrLTA9RpyzMzwNty8t598JYN83rHAPODnWWTfCFweO0ZEEihAEpFcdDjn9qY8IrGhnjvN7HYz2w9sAzCzU81si5kdMLN3zexfzWxcvDAzqzSz+2Kvv2NmX08dNor1Ul2cWAkze9/Mlic8P9HMHoqlv2dmPzOzaQmvN5jZT83sH2Pn+S8zuysxODGzMjP7P2b2hpl1xIbGrjLPq2b2jyl1OL2fHrQ5wHTg3xOOmRY75jIze8rMDuMFKMeZ2QNm9paZtZvZH8zs71LO16ut+jjvBcDzzrl3zexYM7vfzP5qZofM7E9mdmU8o3PuReBt4H/0UZbIiKUASUQGyxVAJ17vxQozOwb4D+B3QDWwGDgeeCjhmFuATwKfBRYC5wJn5HLSWJCzDWgDzomd/wCwNaUnawFewLIgVtflsUfcfcDfAdcAHwH+ATjgnHPAvwBXkuxKYIdz7tU+qnYO8EfnXFua19YC34+dZxtQDjyHF9ycCtwD/KuZzU04Jtu2ugj4WeznbwEfBZbEzrUS2J+Sf1esriKSIFTsCojIsHKhmR1IeL7FOXdp7Oc/Oeeui79gZv8v8Dvn3JqEtC8Bb5jZh/F6Lq4CvuiceyL2+hXAmznW6TK8P/b+PhbMEOsleR8viHg8lu9vQI1zLgK8bGb/DpwHbIjVZylwvnPul7H8f044RwNwk5nNdc7tigVlXwCSepVSTI29x3Rud879JCXtuwk/32Fmi2J12mVmo8mircysDC8Q/f9iSVPwPoNnY89b0tTlbWB2hvchMiIpQBKRXDyJ1wsRdzDh5+dS8p4GLEgJqOKmAxVAKfBMPNE5956ZvZJjnU4DZgBt3rSfbuWx88S9GAuO4t4BZsV+Ph2IAE+lO4Fz7u1YQPUlvB6X/w6UAQ9nqFcFcLiP155NfGJmQWANXkB0Al67lAHtsSzTya6tPgXsiw2dAawHNpvZGXiB4k/TTBg/BIzK8D5ERiQFSCKSi4MZhpQOpjwfjTdR+Po0ed/BC2qy4QBLSUuc2DwaLzi7PM2xf034OZym3Pg0g0NZ1OP/4g17fQ1veO1B51x7hvz76QnAUqW2VS3wv4BVwB9ir9+OFxTl4iLg0fgT59wWM5sKfAY4H3jCzO5yziX2fI0luZ1EBM1BEpH8eR44BWhxzr2a8jgIvIYXtHw8foCZHQt8OKWcv+KtlovnOYnkHo/ngZPwek5Sz/NBlnX9A97/h5/MkOcXeIHLSrxhrH/pp8zfASdbSrdWH+YBP3PO/dA514w3vJfYDv22Vew8/52e+UcAOOf+6pzb5Jz7Il4A9pWUc58aq6uIJFCAJCL5chde78QDZnammU03s0VmttHMgs65A3hL4G8xs0+Z2al4c32iKeX8B1BjZrPNrBq4m+TeoPvxemt+ZmbnmFmVmZ1rZussy5sgOudagE3Av5jZxQllLE3IE4nV72a8+Va/6afYJ/F6t07Jogp/As43s7PM7CPAP+NNaI+fO5u2moMXOD4dTzCzm8zss2Y2w8xOAS4EXkp4fVTsuMcRkSQKkEQkL5xzb+P1jATxvoD/gDds9D49X+y1wK/whuJ+ifflnjqX6evAG7F8P8KbzNw9tBUb5poPvA78BC8AuBdvDlJrDlVeCfwb8APgZWADUJmS5168Ya+N/RXmnPsv4BHSD/2l+jZeT9g2YDuwF/hpSp7+2uqzwC+cc10JaZ14Ad3vgR1486w+n3LM6865X2VRR5ERxWKLPkREhgQz2w40OedWFbkqvZjZOcATwInOuXezyP8xoBGYHusFymfdfg982zn3UL+Ze475LbDOOfej/NVMZHhSD5KISD9iN5H8EN7y+YezCY4AnHO/x5ukXpXH6sXvXL4Z2JLDMePwetweyFe9RIYz9SCJyJAyFHuQzLtr971AE3CRc+6tolZIRPJOAZKIiIhICg2xiYiIiKRQgCQiIiKSQgGSiIiISAoFSCIiIiIpFCCJiIiIpFCAJCIiIpJCAZKIiIhICgVIIiIiIin+fxFvR00OIhBaAAAAAElFTkSuQmCC",
      "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": "e81faeb7",
   "metadata": {},
   "source": [
    "The poles of the ROMs are as follows."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "39fbee93",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Maximum real part: 960.0836300787133\n"
     ]
    },
    {
     "data": {
      "image/png": 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qxeHDh8nJyaFFixbl02+77TZmzJjBzp07Afjggw9YsWIF77zzTq19ycjIoFWrVqxcuZIuXbpU22bixImMGTOm1vUkJydXmbZixQo++eQTNmzYUOuyTY2CjoiIeMOAad+HnMjoRhvJGThwIIsWLeL48ePMmzcPn8/HTTfdVKFN5RGbuiQmJjJy5EiWLl2Kc46RI0fSvn37OpfLzMzkhhtuqDHkALRr14527dqdVH92797NlClTWLt2bYVAdibQoSsREfGGd+d+H3JOFNV8gnIDa9WqFd27d6dv374sXryYjz76iOeeew6A7t27Y2ZkZWVVu2xWVhZt27YlMTGxyry0tDSWLl3K888/T1paWr36kpGRwTXXXFNrm1M5dLVp0yb279/PxRdfjM/nw+fz8e677/LHP/4Rn8/HiRMn6tW/cNCIjoiInPkqn5NTdh8a9RydiIgIHnzwQe69917Gjh1LQkICQ4YMYeHChdxzzz0VztPZt28fL7zwAj//+c8xsyrrGj58OEVFRZgZw4YNq3Pbubm57Nixo84Tlk/l0NWgQYP4/PPPK0ybMGEC5513Hg888ACRkaE94ft0KOiIiMiZrboTj4PP2Qm+3whGjx7N/fffz4IFC7jvvvuYP38+V1xxBcOGDePRRx+la9eubNmyhfvvv5+zzz6b2bNnV7ueyMjI8pGg+gSJzMxMIiMjueCCC2ptdyqHrlq3bk2fPn0qTGvVqhUJCQlVpjc1OnQlIiJnttIT1Z94XHY1VmnjHlbx+XxMnjyZuXPncvz4cXr06MHGjRvp1q0bY8aM4ZxzzuHOO+9k4MCBrF+/vtbQER8fT3x8fL22m5mZSc+ePc+4c2hCTSM6IiJyZhs4o+Z5IR7JWbp0abXTp0+fzvTp08vvd+7cuca2wZYsWUJERM1jEC+//HKN8yZPnszkyZPr3EZDqesKsKZCIzoiIiLiWQo6IiIi4lkKOiIiIuJZCjoiIiLiWQo6IiIi4lkKOiIiIuJZCjoiIiLiWQo6IiIi4lkKOiIiIuJZCjoiIiLiWQo6IiIip2j8+PGYGWZGVFQUXbt2Zdq0aRQUFFRot3v3btLS0khOTiY6OprOnTszZcoUDh48WKHdhAkTMDMmTpxYZVvp6emYGePHjw9lSbXas2cPt912GwkJCcTGxnLBBRewcePGsPWnPhR0RETEM3LycliYsZCcvJxG2+bw4cPZu3cv2dnZzJs3j2eeeYaHHnqofH52djaXXnop27ZtY/ny5Wzfvp2nn36aN998k/79+3Po0KEK60tJSWHFihXk5+eXTysoKGDZsmWkpqaedP9KSkpOvbgghw8f5sc//jFRUVH87//+L1u3buUPf/gDbdu2bZD1h4qCjoiIeEZOfg6LMheRk994QScmJoakpCRSUlIYNWoUgwcPZu3ateXz09PTiY6OZs2aNQwYMIDU1FRGjBjBG2+8wZ49e5g5c2aF9V188cWkpKSwatWq8mmrVq0iNTWVfv361dqXHTt2YGa89NJLXHXVVcTExPDKK680SJ2PP/44KSkpLFmyhMsvv5yuXbsydOhQzjnnnAZZf6go6IiIiDSQzZs3s27dOqKjowE4dOgQq1evZtKkScTGxlZom5SUxLhx43jxxRdxzlWYl5aWxpIlS8rvL168mAkTJtS5/czMTACeeOIJZs2axZYtWxg0aFCFNnPmzCEuLq7W265du6qs+5VXXuHSSy9l9OjRdOjQgX79+vHss8/W74EJI1+4OyAiInI6cvJyykdwsg5mVfgLkBibSGLLxJBt/9VXXyUuLo6SkhIKCwuJiIhg/vz5AGzbtg3nHL169ap22V69enH48GFycnJo0aJF+fTbbruNGTNmsHPnTgA++OADVqxYwTvvvFNrXzIyMmjVqhUrV66kS5cu1baZOHEiY8aMqXU9ycnJVaZlZ2ezaNEi7r33Xh588EE2bNjAr371K6Kjo7njjjtqXV84KeiIiMgZbeWXK1mUuajCtIfXP1z+77v63sWkiyaFbPsDBw5k0aJFHD9+nHnz5uHz+bjpppsqtKk8YlOXxMRERo4cydKlS3HOMXLkSNq3b1/ncpmZmdxwww01hhyAdu3a0a5du5PqD0BpaSmXXnopc+bMAaBfv35s3ryZp59+WkFHREQkVEafO5prUq4B/CM5D69/mIf7P0yvBP8oSmJs6EZzAFq1akX37t0B/yGmvn378txzz/GLX/yC7t27Y2ZkZWVx4403Vlk2KyuLtm3bkpiYyNGjRyvMS0tLY/LkyQAsWLCgXn3JyMhg+vTptbaZM2dOeVipydatW6uc+NypUyd69+5dYVqvXr34y1/+Uq++hYuCjoiInNESW1Y9NNUroRe9E3rXsEToRERE8OCDD3LvvfcyduxYEhISGDJkCAsXLuSee+6pcJ7Ovn37eOGFF/j5z3+OmVVZ1/DhwykqKsLMGDZsWJ3bzs3NZceOHXWesHyqh65+/OMf889//rPCtC+//JLOnTvX2bdw0snIIiIiDWj06NFERkaWj8LMnz+fwsJChg0bxnvvvcfu3bt5/fXXGTJkCGeffTazZ8+udj2RkZFkZWWxdetWIiMj69xuZmYmkZGRXHDBBbW2a9euHd27d6/15vNVHQe55557+PDDD5kzZw7bt29n2bJl/PnPfyY9Pb0ej0r4KOiIiIhnJMYmclffu0J+uKo2Pp+PyZMnM3fuXI4fP06PHj3YuHEj3bp1Y8yYMZxzzjnceeedDBw4kPXr19d6vkx8fDzx8fH12m5mZiY9e/ascFJzQ7rsssv461//yvLly+nTpw+PPPIITz31FOPGjQvJ9hqKDl2JiIhnJLZMDOmJx5UtXbq02unTp0+vcK5M586da2wbbMmSJURE1DwG8fLLL9c4b/LkyeXn9ITK9ddfz/XXXx/SbTQ0jeiIiIiIZynoiIiIiGcp6IiIiIhnKeiIiIiIZynoiIiIiGcp6IiIiIhnKeiIiIiIZynoiIiIiGcp6IiIiIhnKeiIiIiIZynoiIiInKLx48djZpgZUVFRdO3alWnTplFQUFCh3e7du0lLSyM5OZno6Gg6d+7MlClTOHjwYIV2EyZMwMyYOHFilW2lp6djZowfPz6UJdXoxIkT/Pa3v6Vr167ExsZyzjnn8Mgjj+CcC0t/6ktBR0RE5DQMHz6cvXv3kp2dzbx583jmmWd46KGHyudnZ2dz6aWXsm3bNpYvX8727dt5+umnefPNN+nfvz+HDh2qsL6UlBRWrFhBfn5++bSCggKWLVtGamrqSfevpKTk1IsL8vjjj7No0SLmz59PVlYWjz/+OHPnzuVPf/pTg6w/VBR0RETkjOdKS6uMLDjncKWlId92TEwMSUlJpKSkMGrUKAYPHszatWvL56enpxMdHc2aNWsYMGAAqampjBgxgjfeeIM9e/Ywc+bMCuu7+OKLSUlJYdWqVeXTVq1aRWpqKv369au1Lzt27MDMeOmll7jqqquIiYnhlVdeaZA6161bx09/+lNGjhxJly5duPnmmxk6dCgff/xxg6w/VBR0RETkjHdg/gL2TJlKSeBQUMnBg+yZMpUDCxY2aj82b97MunXriI6OBuDQoUOsXr2aSZMmERsbW6FtUlIS48aN48UXX6wS0tLS0liyZEn5/cWLFzNhwoQ6t5+ZmQnAE088waxZs9iyZQuDBg2q0GbOnDnExcXVetu1a1eVdV9xxRW8+eabfPnll+Xb+sc//sGIESPq8ciEjy/cHRARETldMef24PDy5WSPvJ6WP/oReR9+CGbEXxf6D+FXX32VuLg4SkpKKCwsJCIigvnz5wOwbds2nHP06tWr2mV79erF4cOHycnJoUWLFuXTb7vtNmbMmMHOnTsB+OCDD1ixYgXvvPNOrX3JyMigVatWrFy5ki5dulTbZuLEiYwZM6bW9SQnJ1eZNn36dHJzcznvvPOIjIzkxIkTzJ49m3HjxtW6rnBT0BERkTNe/PDhtLzsMr6efDdHX3+d2H79+MH8P+FLSAj5tgcOHMiiRYs4fvw48+bNw+fzcdNNN1Voc7In7CYmJjJy5EiWLl2Kc46RI0fSvn37OpfLzMzkhhtuqDHkALRr14527dqdVH8AXnrpJV544QWWLVvG+eefT0ZGBlOnTiU5OZk77rjjpNfXWHToSkREPMGXkEDH3/jPd+n4m5mNEnIAWrVqRffu3enbty+LFy/mo48+4rnnngOge/fumBlZWVnVLpuVlUXbtm1JTEysMi8tLY2lS5fy/PPPk5aWVq++ZGRkcM0119Ta5lQPXd1///1Mnz6dW2+9lQsuuIDbb7+de+65h8cee6xefQsXjeiIiIg0kIiICB588EHuvfdexo4dS0JCAkOGDGHhwoXcc889Fc7T2bdvHy+88AI///nPMbMq6xo+fDhFRUWYGcOGDatz27m5uezYsaPOE5ZP9dBVXl4eEREVx0ciIyMpbYQTvk+HRnREREQa0OjRo4mMjGTBggUAzJ8/n8LCQoYNG8Z7773H7t27ef311xkyZAhnn302s2fPrnY9kZGRZGVlsXXrViIjI+vcbmZmJpGRkVxwwQW1tmvXrh3du3ev9ebzVR0H+clPfsLs2bN57bXX2LFjB3/961958sknufHGG+vxqISPgo6IiHiGLzGR9unp+Ko5FNRoffD5mDx5MnPnzuX48eP06NGDjRs30q1bN8aMGcM555zDnXfeycCBA1m/fn2t58vEx8cTHx9fr+1mZmbSs2fPCic1N6Q//elP3HzzzUyaNIlevXpx33338ctf/pJHHnkkJNtrKDp0JSIinhHVoQOJd09utO0tXbq02unTp09n+vTp5fc7d+5cY9tgS5YsqXJ4KNjLL79c47zJkyczeXLoam/dujVPPfUUTz31VMi2EQoa0RERERHPUtARERERz1LQEREREc9S0BERERHPUtARERERz1LQEREREc9S0BERERHPUtARERERz1LQEREREc9S0BERERHPUtARERE5RePHj8fMMDOioqLo2rUr06ZNo6CgoEK73bt3k5aWRnJyMtHR0XTu3JkpU6Zw8ODBCu0mTJiAmTFx4sQq20pPT8fMGD9+fChLqtF7773HT37yE5KTkzGzGn+OYsGCBXTp0oUWLVrwwx/+kI8//rhxO1qJgo6IiHjG8SOFfPz3bI4fKWy0bQ4fPpy9e/eSnZ3NvHnzeOaZZ3jooYfK52dnZ3PppZeybds2li9fzvbt23n66ad588036d+/P4cOHaqwvpSUFFasWEF+fn75tIKCApYtW0ZqaupJ96+kpOTUiwty/Phx+vbtW/6r7NV58cUXuffee3nooYf45JNP6Nu3L8OGDWP//v0N0odTEdKgY2YzzGyDmR01s/1m9rKZ9azUpoWZLTCzg2Z2zMz+YmYdK7VJNbPXzCwvsJ4nzEw/SCpS5u3H4N25AOz+di8ZW/ew+9u9/nnvzvXPF2kG8o4UseG1HeQdKWq0bcbExJCUlERKSgqjRo1i8ODBrF27tnx+eno60dHRrFmzhgEDBpCamsqIESN444032LNnDzNnzqywvosvvpiUlBRWrVpVPm3VqlWkpqbSr1+/WvuyY8cOzIyXXnqJq666ipiYGF555ZUGqXPEiBE8+uij3HjjjTW2efLJJ/n3f/93JkyYQO/evXn66adp2bIlixcvbpA+nIpQj+gMABYAPwKGAFHAGjNrFdRmHvATYHSgfTJQvnfNLBJ4DYgGrgDuAMYD/xnivoucOSIicW/Nxr3zOFm79tJ+53lk7dqLe+dx3FuzISIy3D0UaRY2b97MunXriI6OBuDQoUOsXr2aSZMmERsbW6FtUlIS48aN48UXX8Q5V2FeWloaS5YsKb+/ePFiJkyYUOf2MzMzAXjiiSeYNWsWW7ZsYdCgQRXazJkzh7i4uFpvu3btOunai4qK2LRpE4MHDy6fFhERweDBg1m/fv1Jr6+hhHRUxDk3PPi+mY0H9gOXAO+Z2VnAL4Cxzrm3Am0mAFlm9iPn3IfAUKA3MNg59y2QYWa/BR43s4edc40X20WaqgHTOPDKpxQ+uoiMS7Jpwy1k/G0xfTetJuai60gcMC3cPRRpFGWBoXJwCKVXX32VuLg4SkpKKCwsJCIigvnz5wOwbds2nHP06tWr2mV79erF4cOHycnJoUWLFuXTb7vtNmbMmMHOnTsB+OCDD1ixYgXvvPNOrX3JyMigVatWrFy5ki5dulTbZuLEiYwZM6bW9SQnJ9c6vzoHDhzgxIkTdOxY4aAMHTt25Isvvjjp9TWUxj78c1bgb9kByUvwj/K8UdbAOfeFme0C+gMfBv5+Hgg5ZVYDi4DzgU8rb8TMYoCYoEmtAYqLiykuLq6xc2XzamvjJc2pXq/XmpOfw44LriT2jc8Z+H42n14IA9/PJud4HPl9rqQ49xsSYxPD3c2Q8Pq+DebFWouLi3HOUVpaSmlpafn04MASPL02eUeLeP/FLwF4/8UvGfbLPrRsHd3wnQ7inOOaa65h4cKFHD9+nKeeegqfz8eNN95YoaYTJ05UW0d1wcw5R0JCAtdddx1LlizBOcd1111Hu3btcM7V+phkZGTwk5/8hNTU1BrbtGnThjZt2tRZW12Pe+V9VvbvmvZl2bTK+7a0tBTnHMXFxURGVhx9bojneqMFHTOLAJ4CPnDObQ5MTgKKnHPfVWr+bWBeWZtvq5lPUJvKZgAPVZ64Zs0aWrZsWWdfg4+tNgfNqV6v1vpm/pu8bW+T+Is4bt3k/5/a5h5jWHHJc+TY0wz8n38yKHZQHWs5s3l131bHS7X6fD6SkpI4duwYRUVVB+iPHj1ar/Xs/OwwG17eBWakXtiGb/91jBX/8RGXjUql84VtG7rb5YqLi4mJiaFDhw4AzJs3jyuvvJIFCxZw++2307FjR8yMjIyMKoeQAD777DPatGlTPppTXFxMSUkJubm53HLLLUyb5h+NfeKJJ8jNzaWkpITi4mJyc3Or7c+nn37K1KlTa5wP8Ic//IF58+bVWtf69etJSUmptU1+fn6F7URHRxMZGcmOHTs4//zzy6d//fXXJCQkVOlT2b4tKioiPz+f9957r8qJ03l5ebX2oT4ac0RnAdAHuLIRtvUY8GTQ/dbA10OHDiU+Pr7GhYqLi1m7di1DhgwhKioq1H0Mu+ZUr9drvSz/Mq79x7+x66PDnGhZRIdvN3GgYw9GfTGL1OvbcvmVnT09ouPlfRvMi7UWFBSwe/du4uLiKhy6cc5x9OhRWrdujZnVuZ787w5yds+2XHXrubRsHe0f3VnxJQXfldb6vn+6oqKi8Pl8FbYxc+ZM7rvvPtLS0ujSpQuDBw9myZIlTJ8+vcJ5Ovv27WPlypXcfvvtxMfHc/To0Qrr+9nPfsa9996LmXHjjTcSGRmJz+cjKiqq2ppyc3PZtWsX/fv3r7XmKVOmcPvtt9daV5cuXfD5ao8IsbGxVbZzySWXsH79ev7t3/4N8I/ivP/++6Snp5e3rbxvCwoKiI2N5eqrr67wHCir6XQ1StAxs/nA9cDVzrmvg2btA6LNrE2lUZ2OgXllbS6vtMqOQfOqcM4VAuXXFpa9SKKiour15lDfdl7RnOr1aq3JUcl0yn6LFlE72Gyfc83Wz3gt9UL6uAtol92F5Ov6h7uLIefVfVsdL9V64sQJzIyIiAgiIr6/PqbsMEfZvLr88PpuWMT3gSjurBaM+OWFuFJXYXpDK/sOneA+3nLLLTzwwAMsWrSI++67jwULFnDFFVeUX7XUtWtXtmzZwv3338/ZZ5/NnDlzKoS54McjKysLoHx/V7e9Mp9//jmRkZH07du31sesffv2tG/f/qRrPXbsGNu3by+/v3PnTj777DPatWtXftn7vffeyx133MFll13G5ZdfzlNPPcXx48dJS0sr71PlfRsREVH+PUSVn9cN8TwP9eXlFgg5NwLXOue+qtRkE1AMDApapieQCpSdor0euMDMOgQtNwTIBbaGqu8iZ5R353J5zmSG/yyay0eMBuDyEaMZ/rNoLsuZXH7puYhX1RRmQhlyauLz+Zg8eTJz587l+PHj9OjRg40bN9KtWzfGjBnDOeecw5133snAgQNZv3497dq1q3Fd8fHx9R6RyszMpGfPnlVGRRrKxo0b6devX/kl7vfeey/9+vVj1qxZ5W1uueUWfv/73zNr1iwuuugiMjIyeP3116ucoNyYQj2iswAYC/wUOGpmZefUHHHO5TvnjpjZc8CTZnYIf3j5E7A+cMUVwBr8geb/mNk0/OflPAosCIzciEjpCezaB2HANLplf85bA7pxbY+e0O1mLDBfRBre0qVLq50+ffp0pk+fXn6/c+fONbYNtmTJklpHY2r6NmKAyZMnM3ny5Dq3caquueaael3NFup+nKxQB527An/fqTR9ArA08O97gFLgL/ivlFoNTCpr6Jw7YWbX47/Kaj1wHHgemIWI+A2cUf7PjinncdZ1d9Ix5Tz/BF1aLiLNWKi/R6fOMUPnXAGQHrjV1GYncF0Ddk1ERESaAf3WlYiIiHiWgo6IiIh4loKOiIiIeJaCjoiIhF1j/jaVNC2h3vcKOiIiEjZlXwjXEF/1L2emsn0fqi/BbOwf9RQRESkXGRlJmzZt2L9/PwAtW7bEzCgtLaWoqIiCgoJ6fTPyma451VtWa35+PgUFBezfv582bdpU+UHPhqKgIyIiYZWU5P8u2bKwA/7DGfn5+cTGxtbrt67OdM2p3sq1tmnTpvw5EAoKOiIiElZmRqdOnejQoQPFxcWA/wdM33vvPa6++mrP/K5XbZpTvWW1DhgwgNjY2JCN5JRR0BERkSYhMjKy/EMvMjKSkpISWrRo4fkPfmhe9ZbVGhMTE/KQAzoZWURERDxMQUdEREQ8S0FHREREPEtBR0RERDxLQUdEREQ8S0FHREREPEtBR0RERDxLQUdEREQ8S0FHREREPEtBR0RERDxLQUdEREQ8S0FHREREPEtBR0RERDxLQUdEREQ8S0FHxKNy8nNYmLGQnLyccHdFRCRsFHREPOpA/gEWZS4iJ19BR0SaLwUdERER8SxfuDsgIg0nJy+HvUf38k3JNxQeKgQg62BW+fzE2EQSWyaGq3siIo1OQUfEQ1Z+uZJFmYv8dz72/3l4/cPl8+/qexeTLprU+B0TEQkTBR0RDxl97miu7HQlH/zjAxJ6J/DIx4/wcP+H6ZXQC/CP6IiINCcKOiIektgykTZRbfjK9xVd23UFoFdCL3on9A5zz0REwkMnI4t4TN6RIo5si6boaGm4uyIiEnYa0RHxCFdaCmbk5RZxdHsMLYviuevCibSPSQh310REwkYjOiIecWD+AvZMmUrJd98B0LrAuGHJl9iSleHtmIhIGCnoiHhEzLk9yNuwgX2/vg+Afb++j7wNG4jp0T3MPRMRCR8duhLxiPjhw7FeF7HxkbcA2HbOTfzkt9fSunNSmHsmIhI+GtER8Yjtm/bz0h+3kRfXiQ77N5EX14mX/riN7Zv2h7trIiJho6Aj4hEHvznG2ee24YZb2tBn62JuuKUNZ5/bhkPfHAt310REwkaHrkQ84vKRXbEI42hmJgCxLSMY/ssLcKUuzD0TEQkfjeiIeIRFGAC+xEQODh6ELzGxwnQRkeZIQUfEY3yJiRwcMqQ86IiINGcKOiIiIuJZCjoiIiLiWQo6IiIi4lkKOiIiIuJZCjoiIiLiWQo6IiIi4lkKOiIiIuJZCjoiIiLiWQo6IiIi4lkKOiIiIuJZCjoiIiLiWQo6IiIi4lkKOiIiIuJZCjoiIiLiWQo6IiIi4lkKOiIiIuJZCjoiIiLiWQo6IiIi4lkKOiIiIuJZCjoiIiLiWQo6IiIi4lkKOiIiIuJZCjoiIiLiWQo6IiIi4lkKOiIiIuJZCjoiIiLiWQo6IiIi4lkKOiIiIuJZCjoiIiLiWQo6IiIi4llnTNAxs3Qz22FmBWb2kZldHu4+HT9SyMd/z+b4kcJwd0VOQlPcbzl5OSzMWEhOXk6F6eV9/Z/fw7tzq1/43bnw9mON0EuRpkevkfCr6f2rqTgjgo6Z3QI8CfwHcDGQCaw2sw7h7FfekSI2vLaDvCNF4exGyLnSUpxzFac5hystDVOPTk+491t1j2dO3n6ezlhITn7FN4ryvha2gLdnV30jf3euf3pEZKi7LdIk6TUSfjn5OSzKXFTl/aupOCOCDnAv8KxzbolzbiswEcgD0sLbrebhwPwF7JkylZKDBwEoOXiQPVOmcmDBwjD37MxU3ePJb37Pzf+oJThecgcMnFnxjbzsDXzgTBgwrRF6LtKE6TUiNfCFuwN1MbNo4BKgfNzROVdqZm8A/WtYJgaICZrUGqC4uJji4uIat1U2r7Y2NbWv7zJNSX3r9XXrxqHly/nXyOtpefnl5H38MZjRaujQM6bu6vZVuPZb2eO5/brrONGvN/bpFk64E+y+1ti8fzMlJSUAtI9tD8Utvu/rFfcQceIEkW/Pxr33BHaiiBNXT6f0insgqI6TfR6f6ZpTvaq19nb1fY00RWfavs3Jz+FA/gEAvjj0BUCV96/E2MRqlz2ZWhvi8bDKQ+hNjZklA3uAK5xz64OmzwUGOOd+WM0yDwMPVZ6+bNkyWrZs2SD9OlFoHPwklqLvIoluc4KEi/OJjGnaj+XpiDx2jOT//j/E7txJfufOfPPz2zkRFxfubp20prLfIo8do+XSP9Fp9xG+OBt+f1Mkua2sQpvBNozeW4dV6ev1GWlEuhJOmI9XL1rc6H0XaSpqej3rNRJ6b+a/yduFb9c4f2DMQAbFDjrt7eTl5TF27FiAs5xzuaeyDq8GnepGdL4+cOAA8fHxNW6ruLiYtWvXMmTIEKKiompsl/1pDu+/uB0zSO7Rhm+2fYdzcNUt3enWr/oE2xTVt94yBVu38vUtt/KDF1fQonfvRuhhwykuLuZv//02x7e1bjL7bd+nH3Ds53dR/OxjfNG+iEc+foTfXv5bzmt3HjlbCsl+NY+ICKvQ16svzOLcr6bhIqO//9/qVfdVqfVk9uuZrjnVq1q/V9P7cH1eI03RmbZvK4/oBL9/Qd0jOvWtNTc3l/bt28NpBJ0mf+gKOACcADpWmt4R2FfdAs65QqD8khoz//+Uo6Ki6vUEqqvdd98W8INz23L1v/WkZXw0eblFvLf8nxz5tuCMeIJWVt/HpcTnf7r4fL4zss7iYxEk9ziLa8b2ahL7rX2rRI4BPdr1wNfB/xzt06EPvRN689HH2aT0bFHxOfanV/jus01ww0xswDR4dy6Rb88mMjKy2vMP6rtfvaI51ataa3gfPsnXSFN0puzb5KhkkuOTAf9nAnz//lVf9am1IR6LJh90nHNFZrYJGAS8DGBmEYH788PRp8tHdsUivj/M0DI+muG/vABX2rRHx5q7+O5FDBnZu/yF05T3W5Xn2KdPMbx4Nu4nQSdVlv19e3bF+yLNgF4jUl9NPugEPAk8b2YbgY+BqUArYEk4OhP84qrPdK/wJSbSPj0dX+KZc3gumNWwe8K134Ifz8RY466+d5UP9VbpU+kJGBj4X2qwsvulJxqhxyJNh14jTUdibGKF96+m5owIOs65F80sEfhPIAnIAIY7574Na8eamagOHUi8e3K4u+EZwY9nIjDpokk1Nx44o+Z5+l+qiF4jYZTYMrH2968wOyOCDoBzbj5hOlQlIiIiZ6Yz5QsDRURERE6ago6IiIh4loKOiIiIeJaCjoiIiHiWgo6IiIh4loKOiIiIeJaCjoiIiHiWgo6IiIh4loKOiIiIeJaCjoiIiHiWgo6IiIh4loKOiIiIeJaCjoiIiHiWgo6IiIh4loKOiIiIeJaCjoiIiHiWgo6IiIh4loKOiIiIeJaCjoiIiHiWgo6IiIh4loKOiIiIeJaCjoiIiHiWgo6IiIh4loKOiIiIeJaCjoiIiHiWgo6IiIh4loKOiIiIeJaCjoiIiHiWgo6IiIh4loKOiIiIeJaCjojH5B0p4si2aPKOFIW7KyIiYaegI+IRrrQU5xx5uUUc3R5DXm4RzjlcaWm4uyYiEjYKOiIecWD+AvZMmUrJd98BUPLdd+yZMpUDCxaGt2MiImGkoCPiETHn9iBvwwb2/fo+APb9+j7yNmwgpkf3MPdMRCR8fOHugIg0jPjhw7FeF7HxkbcA2HbOTfzkt9fSunNSmHsmIhI+GtER8Yjtm/bz0h+3kRfXiQ77N5EX14mX/riN7Zv2h7trIiJho6Aj4hEHvznG2ee24YZb2tBn62JuuKUNZ5/bhkPfHAt310REwkaHrkQ84vKRXbEI42hmJgCFkUfI/uFWLu5+c5h7JiISPhrREfEIizAAfImJHBw8iMNxxqLMRRwoPBDmnomIhI+CjojH+BITOThkCCS0DXdXRETCToeuRDwkJy+HvUf38k3JNxQeKgQg62BW+fzE2EQSWyaGq3siIo1OQUfEQ1Z+uZJFmYv8dz72/3l4/cPl8+/qexeTLprU+B0TEQkTBR0RDxl97miu7HQlH/zjAxJ6J/DIx4/wcP+H6ZXQC/CP6IiINCcKOiIektgykTZRbfjK9xVd23UFoFdCL3on9A5zz0REwkMnI4uIiIhnKeiIeFT72Pbc1fcuHa4SkWZNh65EPCoxNlEnHotIs6cRHREREfEsBR0RERHxLAUdERER8SwFHREREfEsBR0RERHxLAUdERER8SwFHREREfEsBR0RERHxLAUdERER8SwFHREREfEsBR0RERHxLAUdERER8SwFHREREfEsBR0RERHxLAUdERER8SwFHREREfEsBR0RERHxLAUdERER8SwFHREREfEsBR0RERHxLAUdERER8SwFHREREfEsBR0RERHxLAUdERER8ayQBB0z62Jmz5nZV2aWb2b/MrP/MLPoSu0uNLP3zazAzHab2bRq1jXazL4ItPnczK4LRZ9FzmhvPwbvzgVg97d7ydi6h93f7vXPe3euf76ISDMUqhGd8wLr/iVwPnAPMBGYU9bAzOKBNcBO4BLgfuBhM7szqM0VwHLgOaAf8DLwspn1CVG/Rc5MEZG4t2bj3nmcrF17ab/zPLJ27cW98zjurdkQERnuHoqIhIUvFCt1zr0OvB40KdvMegJ3AfcFpo0DooE051wRsMXMLgLuBf4caDMFeN0590Tg/m/NbAgwGX9wEhGAAdM48MqnFD66iIxLsmnDLWT8bTF9N60m5qLrSBxQZbBURKRZCEnQqcFZwKGg+/2B9wIhp8xq4AEza+ucOxxo82Sl9awGRtW2ITOLAWKCJrUGKC4upri4uMblyubV1sZLmlO9Xq81Jz+HHRdcSewbnzPw/Ww+vRAGvp9NzvE48vtcSXHuNyTGJoa7myHh9X0bTLV6V3Oq92RqbYjHw5xzp72SOjdi1h3YBNznnHs2MG0N8JVz7pdB7XoDW4DezrksMysC7nDOLQ9qMwl4yDnXsZbtPQw8VHn6smXLaNmyZQNVJdJ0vJn/Jm8Xvk3ikVbcuukXFMeeQ1T+v1hxyXPknHWcgTEDGRQ7KNzdFBE5KXl5eYwdOxbgLOdc7qms46RGdMzsd8ADdTTr5Zz7ImiZs/EfxlpZFnIawWNUHAlqDXw9dOhQ4uPja1youLiYtWvXMmTIEKKiokLdx7BrTvV6vdbL8i/j2n/8G7s+OsyJlkV0+HYTBzr2YNQXs0i9vi2XX9nZ0yM6Xt63wVSrdzWnek+m1tzcU8o2FZzsoas/AEvraJNd9g8zSwbeBtYBd1Zqtw+oPCrTMWhebW32UQvnXCFQGNQPAKKiour1BKpvO69oTvV6tdbkqGQ6Zb9Fi6gdbLbPuWbrZ7yWeiF93AW0y+5C8nX9w93FkPPqvq2OavWu5lRvfWptiMfipIKOcy4HyKlP28BIztv4D1lNcM6VVmqyHphtZlHOubKDcEOAfwbOzylrMwh4Kmi5IYHpIlLm3blcnjMH+9mDtCwYDa9/xuUjRnN1i2zcW5Ph3W9AJySLSDMUkpORAyHnHfyXjt8HJJaNqjjnykZjluE/j+Y5M3sc6IP/Kqt7glb1X8C7ZvZr4DXgVuBSqo4OiTRvpSewax+EAdPolv05bw3oxrU9ekK3m7HAfBGR5ihUV10NAboHbl9XmmcAzrkjZjYUWIB/1OcA8J/OubJLy3HOrTOzscCj+L+DZxswyjm3OUT9FjkzDZxR/s+OKedx1nV30jHlPP8EjeSISDMWqu/RWUrd5/LgnPsMuKqONiuBlQ3SMREREWlW9FtXIiIi4lkKOiIiIuJZCjoiIiLiWQo6IiIi4lkKOiIiIuJZCjoiIiLiWQo6IiIi4lkKOiIiIuJZCjoiIiLiWQo6IiIi4lkKOiIiIuJZCjoiIiLiWQo6IiIi4lkKOiIiIuJZCjoiIiLiWQo6IiIi4lkKOiIiIuJZCjoiIiLiWQo6IiIi4lkKOiIiIuJZCjoiIiLiWQo6IiIi4lkKOiIiIuJZCjoiIiLiWQo6IiIi4lkKOiIiIuJZCjoiIiLiWQo6IiIi4lkKOiIiIuJZCjoiIiLiWQo6IiIi4lkKOiIiIuJZCjoiIiLiWQo6IiIi4lkKOiIiIuJZCjoiIiLiWQo6IiIi4lkKOiIiIuJZCjoiIiLiWQo6IiIi4lkKOiIiIuJZCjoiIiLiWQo6IiIi4lkKOiIiIuJZCjoiIiLiWQo6IiIi4lkKOiIiIuJZCjoiIiLiWQo6IiIi4lkKOiIiIuJZCjoiIiLiWQo6IiIi4lkKOiIiIuJZCjoiIiLiWQo6IiIi4lkKOiIiIuJZCjoiIiLiWQo6IiIi4lkKOiIiIuJZCjoiIiLiWQo6IiIi4lkKOiIiIuJZCjoiIiLiWQo6IiIi4lkKOiIiIuJZCjoiIiLiWQo6IiIi4lkKOiIiIuJZCjoiIiLiWQo6IiIi4lkhDzpmFmNmGWbmzOyiSvMuNLP3zazAzHab2bRqlh9tZl8E2nxuZteFus8iIiLiDY0xojMX+KbyRDOLB9YAO4FLgPuBh83szqA2VwDLgeeAfsDLwMtm1if03RY5M+UdKeLItmjyjhSFuysiImEX0qBjZiOAocB91cweB0QDac65Lc65FcAfgXuD2kwBXnfOPeGcy3LO/Rb4BJgcyn6LnMnycos4uj2GvFwFHRERX6hWbGYdgWeBUUBeNU36A+8554LfjVcDD5hZW+fc4UCbJysttzqwztq2HQPEBE1qDVBcXExxcXGNy5XNq62NlzSneptVrSUl5X+bRb3Nad+qVs9qTvWeTK0N8XiYc+60V1JlpWYG/A/wgXPuUTPrAnwF9HPOZQTarAG+cs79Mmi53sAWoLdzLsvMioA7nHPLg9pMAh5yznWsZfsPAw9Vnr5s2TJatmzZABWKNF1FRyLYv64VHa44TvRZpeHujojIKcvLy2Ps2LEAZznnck9lHSc1omNmvwMeqKNZL/yHq1oDj51KpxrAY1QcCWoNfD106FDi4+NrXKi4uJi1a9cyZMgQoqKiQt3HsGtO9TaXWvOPFrH6z1uAY/BNRwZefz6xraPD3a2Qai77FlSrlzWnek+m1tzcU8o2FZzsoas/AEvraJMNXIv/sFOhf3Cn3EYze8E5dwewD6g8KlN2f1/Q3+ra7KMWzrlCoLDsflkfoqKi6vUEqm87r2hO9Xq51u2b9vPusn+COWKTisnNKWDl7E8YMLYn3S/pAIBzDpzDIrz3zRJe3reVqVbvak711qfWhngsTurdzjmX45z7oo5bEfAroC9wUeBWdkn4LcDMwL/XA1ebWXAVQ4B/Bs7PKWszqFI3hgSmi0iQg98c4+xz2zD6wUtI6FfAoE6ZtM3byYF/5QBQcvAge6ZM5cCChWHuqYhI4wnJycjOuV3B983sWOCf/3LOfR349zL859E8Z2aPA33wX2V1T9Ci/wW8a2a/Bl4DbgUuBe5ERCq4fGRXLMLKT94767xu9PnLbNyn8PW6H5L34YdgRvx1I8LcUxGRxhO28Wvn3BH85/J0BTbhPyz2n865Pwe1WQeMxR9sMoGbgVHOuc2N32ORps0iKhwmJm7YULq9+ndiunbh6OuvE921K91e/Tvxw4eHqYciIo0vZJeXB3PO7QCsmumfAVfVsexKYGVoeibibb6EBDr+ZiY7brqZjr+ZiS8hIdxdEhFpVN47I1FEREQkQEFHREREPEtBR8TjfImJtE9Px5eYGO6uiIg0ukY5R0dEwieqQwcS79bPw4lI86QRHREREfEsBR0RERHxLAUdERER8SwFHREREfEsBR0RERHxLAUdERER8SwFHREREfEsBR0RERHxLAUdERER8SwFHREREfGsZvUTELm5ubXOLy4uJi8vj9zcXKKiohqpV+HTnOpVrd7VnOpVrd7VnOo9mVrr+tyuD3POnfZKmjozOxv4Otz9EBERkVPyA+fcnlNZsLkEHQOSgaN1NG2NPxD9oB5tvaA51atavas51atavas51XuytbYGvnGnGFiaxaGrwINTZxL05yEAjjrnTn+8rIlrTvWqVu9qTvWqVu9qTvWeQq2n9XjoZGQRERHxLAUdERER8SwFnYoKgf8I/G0OmlO9qtW7mlO9qtW7mlO9jVprszgZWURERJonjeiIiIiIZynoiIiIiGcp6IiIiIhnKeiIiIiIZzXroGNmI83sIzPLN7PDZvZypfmpZvaameWZ2X4ze8LMfJXaXGNmn5hZoZltN7PxjVnDyTCzGDPLMDNnZhdVmnehmb1vZgVmttvMplWz/Ggz+yLQ5nMzu67ROl8PZtbFzJ4zs68C+/RfZvYfZhZdqd0ZX2ttzCzdzHYE+v6RmV0e7j6dDDObYWYbzOxo4HX3spn1rNSmhZktMLODZnbMzP5iZh0rtanz9dvUmNn0wOvzqaBpnqrVzM42s/8bqCc/8Pq6NGi+mdl/mtnewPw3zKxHpXW0M7MXzCzXzL4LvO7jGr+amplZpJk9Uun96LcW9G15Z3KtZna1mf3dzL4JPGdHVZrfILXV5/26Ts65ZnkDbgIOAROBc4HewJig+ZHA58Ba4CJgBJADzAlq0xU4DvwB6AVMBkqAYeGur4aa/wv4H8ABFwVNjwf2Af8XOB+4FcgD7gxqc0WgtvsDtT4CFAF9wl1XUB+HA0uAoUA34AbgW+D3Xqu1lsfgFvyXbE4IPKf/DBwGOoS7bydRw+vA+MD+6Qu8BuwEWgW1WQTsAq4FLgHWAx8Eza/z9dvUbsBlwFdAJvCUF2sF2gI7Aq/TywPvoUOBc4LaPAB8B/wUuBD4G5ANtAhq879ABvBD4EpgG7As3PVVqvVB4AAwEugC3Iz/5w5+5YVaA8+zR4Eb8X+mjKo0/7Rrox7v1/Xqa7gfrDDtIB/+39n4RR078QTQMWjaROAIEB24/ziwudJyK4DXw11jDfVk4f/wqxx07sIf+qKDpv0O+CLo/ovAq5XW+SHwdLhrq6Pu+4Hs5lBroJ8fAfOD7kfg//mT6eHu22nUlBh4zl4duH8W/uB5c1Cb8wJtfhS4X+frtyndgDjgS2Aw8A6BoOO1WgOvtfdrmW/AXuC+oGlnAQXArYH7vQL1XxrUZjhQCiSHu8agPr0KPFdp2l+A/+vBWisEnYaqrT7v1/W5NddDVxcDZwOlZvZpYGjtf82sT1Cb/sDnzrlvg6atxp8wzw9q80alda8OTG8yAsPczwK340/DlfUH3nPOFQVNWw30NLO2QW2afK3VOAv/C6WMZ2sNHKK7hKC+O+dKA/ebdN/rcFbgb9l+vASIomKdX+Af9Sirsz6v36ZkAfCac67y885rtd4AbDSzlYFDbJ+a2b8Hze8KJFGx3iP4A3xwvd855zYGLfcG/g/IH4a09ydnHTDIzM4FMLO++Ect/jcw30u1VtZQtdXn/bpOzTXodAv8fRj/0Nv1+If33zGzdoF5SfgPewT7NmhebW3izSy2ITt8qgLHg5fiH43YWEOz06k1iSbKzLoDdwPPBE32ZK0B7fEfxjgT+14tM4sAnsJ/qGZzYHISUOSc+65S8+A667OfmwQzuxX/f75mVDPbU7Xif++9C/8himH4D8v90czuCMwv629tz+EkYH/wTOdcCf4g3JTq/R3+Ef4vzKwY+BT/SN0LgfleqrWyhqqtQZ7bngo6Zva7wElRtd3O4/u6Zzvn/uKc24T/nAYHjA5bASfhJGq9G/9P3D8W5i6fspOoNXiZs/Gf67HSOfdseHouDWAB0Af/sXnPMbMU/OfOjXPOFYS7P40gAvjEOfegc+5T59yf8Y82Twxzv0JhDDAOGIs/yN4B3BcU6qSRNMmz8k/DH/CPXtQmG+gU+PfWsonOuUIzywZSA5P24T9ZLljHoHllfztW0ybXOZdf/26fkvrWei3+4b/CoJP9wT98/IJz7g5qrgPqrnUfoVffWgEws2TgbfxDx3dWatfUaz0dBwicq1Fp+pnQ9yrMbD7+0darnXNfB83aB0SbWZtKIx3Bddbn9dsUXAJ0AD4Jen1GAleb2WT8ox5eqRX8521srTQtC//FIfB9fzsG2hJ0PyOoTYfgFZj/CrN2NK16nwB+55xbEbj/uZl1xj9y9zzeqrWyhqqtPu/XdfLUiI5zLsc590UdtyJgE/4rU8ovWTWzKPxnxu8MTFoPXGBmwTtiCJDL9y/U9cCgSt0YEpgeUidR66/wX7lyUeBWdpn0LcDMoDquDjwGwXX80zl3OKhNU6+1bCTnHfz7eELgHJVgTbrW0xH03C7ve+DQzyCaeN+DBS5LnY//ao5rnXNfVWqyCSimYp098f8npazO+rx+m4I3gQv4/vV5EbAReCHo316pFeADgt53A87l+/fdr/B/gAXXG4//nI3getuY2SVB67gW/+fZRyHo86lqif98k2An+P5z10u1VtZQtdXn/bpu4T5bO1w3/Mf9v8Z/aWNP4P/Df+yvbWB+2SWbq/EHhWH4jydWd3n5XPxXQkyiCV9eHuhzF6pedXVW4En53/hPXrwlUFflS66LgV8Han2YJnbJNf4TzLfhP6HtbPzHcJOAJK/VWstjcAv+KxvuwH9VwzP4zz/rGO6+nUQNC/FfljogeB8CsUFtFuH/cByIf1RkHbAuaH6dr9+meiPoqiuv1Yr/Evpi/Jded8d/WOc4/kN3ZW0eCDxnb8AfAl+m+suSP8E/kvVj/Feshf2S60q1LsX/GVN2efmN+C/7f9wLteK/UvCiwM0B9wT+ndpQtVGP9+t69TXcD1YYd1IU8Hv84SYX/3dQnF+pTWf83zuTF3iC/h7wVWpzDf6TzAqBfwHjw11bHXV3oVLQCUy/EHgf/4fk18AD1Sw7GvhnoNbNwHXhrqdS/8YHaqty81qtdTwOk/F/MBbi/5/RD8Pdp5Psf7X7MPi1BbTAf/7OocAb3yqCAm2gTZ2v36Z4o2rQ8VSt+A9Hfh54/WUB/15pvgH/GfiAK8D/H5dzK7VpByzD/700R4DFQFy4a6vUx9b4/0O9E8gPfD48SsVLpc/YWvF/9lX3Ol3akLXV5/26rpsFViQiIiLiOZ46R0dEREQkmIKOiIiIeJaCjoiIiHiWgo6IiIh4loKOiIiIeJaCjoiIiHiWgo6IiIh4loKOiIiIeJaCjoiIiHiWgo6IiIh4loKOiIiIeJaCjoiIiHjW/w+p+XlND1FYQgAAAABJRU5ErkJggg==",
      "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": "821ec2ca",
   "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": "3e1088cb",
   "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": "bd581ad5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "30723f0e40e94049bc610538ab464d53",
       "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": "cc06d782",
   "metadata": {},
   "source": [
    "We can compare the Bode plots."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "f89ac368",
   "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",
    "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": "ca01c4a1",
   "metadata": {},
   "source": [
    "The error plot shows interpolation more clearly."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "0e40fbab",
   "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": "5cbeb017",
   "metadata": {},
   "source": [
    "We can check stability of the system."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "5ce55649",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Maximum real part: -1.007127063181556\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": "56a8bb8d",
   "metadata": {},
   "source": [
    "In this case, the ROM is asymptotically stable."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7e6af6bf",
   "metadata": {},
   "source": [
    "Download the code:\n",
    "{download}`tutorial_interpolation.md`,\n",
    "{nb-download}`tutorial_interpolation.ipynb`."
   ]
  }
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