{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Posterior uncertainties of the ODE filter\n",
    "\n",
    "We investigate the uncertainties returned by Gaussian ODE Filters and how they are affected by the choice of diffusion model.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/tmp/ipykernel_24412/794108844.py:5: DeprecationWarning: `set_matplotlib_formats` is deprecated since IPython 7.23, directly use `matplotlib_inline.backend_inline.set_matplotlib_formats()`\n",
      "  set_matplotlib_formats(\"pdf\", \"svg\")\n"
     ]
    }
   ],
   "source": [
    "# Make inline plots vector graphics instead of raster graphics\n",
    "%matplotlib inline\n",
    "from IPython.display import set_matplotlib_formats\n",
    "\n",
    "set_matplotlib_formats(\"pdf\", \"svg\")\n",
    "\n",
    "# Plotting\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "plt.style.use(\"../../probnum.mplstyle\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "\n",
    "from probnum.diffeq import probsolve_ivp\n",
    "\n",
    "\n",
    "rng = np.random.default_rng(seed=123)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We start with the Lotka-Volterra equations."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "def f(t, y):\n",
    "    y1, y2 = y\n",
    "    return np.array([0.5 * y1 - 0.05 * y1 * y2, -0.5 * y2 + 0.05 * y1 * y2])\n",
    "\n",
    "\n",
    "def df(t, y):\n",
    "    y1, y2 = y\n",
    "    return np.array([[0.5 - 0.05 * y2, -0.05 * y1], [0.05 * y2, -0.5 + 0.05 * y1]])\n",
    "\n",
    "\n",
    "t0 = 0.0\n",
    "tmax = 20.0\n",
    "y0 = np.array([20, 20])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The EK0 ODE filter is quite fast and flexible, but does not yield accurate uncertainty estimates. We see below that the uncertainty increases monotonously, independent on the actual peaks and valleys of the ODE solution.\n",
    "\n",
    "It is not surprising that the EK0 solution is agnostic of the trajectory. In fact, the covariance of the EK0 filter is independent of the data and as such, we cannot expect it to return useful uncertainty."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "sol = probsolve_ivp(\n",
    "    f, t0, tmax, y0, df=df, step=0.1, adaptive=False, diffusion_model=\"dynamic\"\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "tags": [
     "nbsphinx-thumbnail"
    ]
   },
   "outputs": [
    {
     "data": {
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   "source": [
    "means, stds = sol.states.mean, sol.states.std\n",
    "\n",
    "fig, (ax1, ax2) = plt.subplots(nrows=2, ncols=1, sharex=True)\n",
    "ax1.plot(sol.locations, means[:, 0], label=\"x1\")\n",
    "ax1.plot(sol.locations, means[:, 1], label=\"x2\")\n",
    "ax1.legend()\n",
    "ax2.fill_between(sol.locations, stds[:, 0], alpha=0.25, label=\"x1-unc.\")\n",
    "ax2.fill_between(sol.locations, stds[:, 1], alpha=0.25, label=\"x2-unc.\")\n",
    "ax2.legend()\n",
    "fig.suptitle(\"EK0 Solution\")\n",
    "plt.show()"
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  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Notice that the uncertainties are aware of the peaks and valleys. They even know whether the peak is flat (rhs of blue, lhs of orange; smaller ones of the blue peaks) or steep. On top of that, they increase over time."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For both we can also sample from the solution. Let us compute a low-res solution (so the samples actually look different from each other).\n",
    "\n",
    "Beware, because large numbers of samples can take a long time to compute."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "sol = probsolve_ivp(\n",
    "    f,\n",
    "    t0,\n",
    "    tmax,\n",
    "    y0,\n",
    "    df=df,\n",
    "    step=0.5,\n",
    "    algo_order=1,\n",
    "    adaptive=False,\n",
    "    diffusion_model=\"dynamic\",\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "num_samples = 150\n",
    "locations = np.arange(0.0, 22.1, 0.05)\n",
    "locations = sol.locations\n",
    "samples = sol.sample(rng=rng, t=locations, size=num_samples)\n",
    "\n",
    "solution = sol(locations)\n",
    "means = solution.mean\n",
    "stds = solution.std"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/pdf": 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      "text/plain": [
       "<Figure size 800x450 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, (ax1) = plt.subplots(nrows=1, ncols=1, sharex=True)\n",
    "for sample in samples[::5]:\n",
    "    ax1.plot(locations, sample[:, 0], \":\", color=\"C0\", linewidth=0.5, alpha=1)\n",
    "    ax1.plot(locations, sample[:, 1], \":\", color=\"C1\", linewidth=0.5, alpha=1)\n",
    "ax1.plot(locations, means[:, 0], label=\"x1\", color=\"k\")\n",
    "ax1.plot(locations, means[:, 1], label=\"x2\", color=\"k\")\n",
    "ax1.fill_between(\n",
    "    locations,\n",
    "    means[:, 0] - 3 * stds[:, 0],\n",
    "    means[:, 0] + 3 * stds[:, 0],\n",
    "    color=\"C0\",\n",
    "    alpha=0.3,\n",
    ")\n",
    "ax1.fill_between(\n",
    "    locations,\n",
    "    means[:, 1] - 3 * stds[:, 1],\n",
    "    means[:, 1] + 3 * stds[:, 1],\n",
    "    color=\"C1\",\n",
    "    alpha=0.3,\n",
    ")\n",
    "\n",
    "ax1.plot(sol.locations, sol.states.mean, \"o\")\n",
    "fig.suptitle(f\"Samples From an EK0 Solution\")\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let us have a look at the inferred diffusion model."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
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     "metadata": {
      "needs_background": "light"
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     "output_type": "display_data"
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   ],
   "source": [
    "x = np.linspace(-1, 22, 500)\n",
    "plt.plot(x, sol.kalman_posterior.diffusion_model(x))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "How well do the empirical moments of the samples reflect the uncertainty of the dense output?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
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      "text/plain": [
       "<Figure size 800x450 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(samples.mean(axis=0), color=\"gray\", linestyle=\"dotted\")\n",
    "plt.plot(means)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
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      "text/plain": [
       "<Figure size 800x450 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sample_mean = samples.mean(axis=0)\n",
    "sample_std = samples.std(axis=0)\n",
    "\n",
    "fig, (ax1, ax2) = plt.subplots(ncols=2)\n",
    "\n",
    "ax1.plot(means[:, 0], sample_mean[:, 0])\n",
    "ax2.plot(means[:, 1], sample_mean[:, 1])\n",
    "ax1.plot(means[:, 0], means[:, 0], alpha=0.5, linewidth=8, zorder=0)\n",
    "ax2.plot(means[:, 1], means[:, 1], alpha=0.5, linewidth=8, zorder=0)\n",
    "\n",
    "ax1.axis(\"equal\")\n",
    "ax2.axis(\"equal\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "      <use xlink:href=\"#CMSS17-64\" transform=\"translate(368.063427 0)scale(0.996264)\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "  </g>\n",
       " </g>\n",
       " <defs>\n",
       "  <clipPath id=\"p2fd1235100\">\n",
       "   <rect x=\"34.150582\" y=\"8.250386\" width=\"202.909091\" height=\"244.62\"/>\n",
       "  </clipPath>\n",
       "  <clipPath id=\"p36d2d4ce30\">\n",
       "   <rect x=\"277.641491\" y=\"8.250386\" width=\"202.909091\" height=\"244.62\"/>\n",
       "  </clipPath>\n",
       " </defs>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "<Figure size 800x450 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, (ax1, ax2) = plt.subplots(ncols=2)\n",
    "\n",
    "ax1.plot(locations, stds[:, 0], label=\"true-std\")\n",
    "ax1.plot(locations, sample_std[:, 0], label=\"sample-std\")\n",
    "ax1.legend()\n",
    "ax2.plot(locations, stds[:, 1], label=\"true-std\")\n",
    "ax2.plot(locations, sample_std[:, 1], label=\"sample-std\")\n",
    "ax2.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/pdf": 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OYOXiY+XmY2EBsLGw8P7X0c6RDyBu5GJpClBgAsjagYBOyFRidvbujpbmFmDIPv/9F0BjQgtg5eXlZvhrOkDEFuhoaWIEAigYgS2AtpAdTYxsAGp2JpZAsPsfSwBoBCzAYHs+ZmZXV1cmI1snJjtHcyFaBoCrJdgCoAp0Ajq6AE0BDzEDFI1sgX/HxoRMBVC3sHT6z4CanRnY1cgRCIAYbCxNgCAnyBRnkCnQEQDZHqAmIw9QsgeC/uMs/x8HBsDfpwNgZWL9Z7m/Zz8sZAn6a7KRiYmdrb0RyN0SZA4ws7QBApQk5ZnAbmAGgBHI9MHRyMbJDjLfyMXI0sbIGOLwF3UjgKSICsAIEuLf8TmZOFrag52YnCxtHmJkflgGcs4SIFMxO1tbIAjshIz8QFDc0hFoAjl5d+a/r9caZOcK8vwvMrMEmZo9xGHqbM+sAbJ0cAbKiP/tAzEhP9rMgWAAJwsLCw8LBwDoAAC6mVgwP2yg7m4P/GuQ9cEMCcLb097OHmAGiQPobWkGhPxB9nQycgECwI7OQG/PpwN/ImRWVoCppQkYYAw0twQhP64OMQPN/oMhGeBo6QbQZYEkICuA5eHnn//0ITlmageycX90/+uO/xvrP1ZRUTs3gCcjFxuAkY2TFcDLzQPg5uQBeP85/5/I/xv1X1ZlI8u/WbE8LigDMrMD8P6HPOTU/g4AwOzyd07Q/F0xtIA/tgAwK9pBchkIoHlMfT0WThYTyC/W/98F8NeU/yvtH1b5/8z8/6Ek6Wxj85cDzX88/tfByNbSxv1vF0gyO4MhhaFgBykP0P/4agH/U88KQFNLZ9v/GZYBG0FKRARkbvPf4wQwWzpJWroBTZUtwSYW/8mivwc0HirQxhIEVLZzsnwQHQAjKwvLvwchdWdiDVEWJ8i1/TUGhJTVnxcrATKxM32oPzZOLoCRo6OROzJkd1YI5AR4Qv5CSgLo9leCA5iZQHZgyCQAJEpvgJmdI/LD9bIAmKWMbG2NHqx/GVgBzOJAG/CjgQ3ArG4BfGJgBzDLG9kamz5aOADMbyz/QZwAZuVHxAVgVrM0f7IBNyRCe0ipQ4L+r4kHMsPicQovBDo9QlYIRyVboPkTjhCSZmaPEELR7Ik/hKCZzSPkeHB+Msz5gJ+MQxia2kFeB6ene3L/Y7R6NEJ4mjs+lP8/FghVIxNI1jyeFoSsiZHjk+DYIGSNHYFPZrFB+NoamfzhBOHs+HCP/xggrE0gmWZj8+QmIMzNgY62EGEytnF6NEMCMHqyOoS63RMIIW3nZGPkZPFogrAWkXi8z4fzfQIhfJX+nMAOIezkbG/v+JCL/xghlCGJZWNk+2iCkHZwtgMDIfz+IwH/jECog5xtjR9ExPwxbPa/zh4So+OjCULfHugIeWyezIbEYGQLsTo9PCz/WHn/3u3PrTgg4dhDnjyQDdDsiZX1b+u/nCGRGTk9LOFk/WiERGZv4/wYKsfDZdg9rRIOSDwW7vYWwMdYOLj+Im5p98iQAxLLnyfJAYnEA+ho92iABAHpHh6LB8Ie7Po4DhFPZrCFI/CJx0O22zk/nhjnQ75bPskvTghdJ8jL8g+GkHWCJOAjV4hYMAP/OAhOCFWQ5VMiPA8xP61STt6HZWwt/7Rysfw3DUwhD+2jGcIb6OBs9FhnkCcKcl1Apwe5+9OV/XHg0QiJweiRHhckBJFHBKEv+ogg1MUeEYS3+COCcH5MbW4IV8lHBKEo9Ygg9KQfEYSTzCOCkJF9RBAuco8IwkX+EUG4KDwiCBfFRwThovSoeRAuyo8IwkXlEUG4qD4iCBe1RwThov6IIFw0HhGEi+YjgnDRekQQLm8eEYSL9qPgQrjoPKK/BMvIxBoI/qOEeNkeq/vPAfZ/JvxZXbwPdWPpaOJsa2YDfMxHXs6/xBXSPz4tcl6uv5f/c21IEI9lxwsJwvgRQYIwefJMQKIwfQIfMvAJfCibJxDC2fwJhDC1eAIhDJ8+QBBqT54BFggn6ycQQurJcwLpcZgfJZH14fUCPYEQVnZPIISV/RP4UApPIISV4xP4UMdPIIQV+AmEsHJ+AiGsXJ5ACCvXJy8mhJXbEwhh5f4EQlh5PIEPSg8yfapjrA/vE9D2X7YHUXQGmRs5OtvaGDk/4fbwRIEtbUyf3MfDM2VqCYQ8KZZPYnp4rf7npWF90BgneyOTJ9Mf9OVfjcuDwPzZurA+SMufzQvrg7D8q31hfVCXJw0M64O+KD/F3P9uYlgfZObfbQzrg9o8bWRYHwTnj1bmQXOczMD/ejpYH8QHZPyvEB806F99DzfHn43PgxQ9bW0exOhpa/MgR3/0Pg+K9Efz8yBK/9v9PIjT/9H+sP5P//OgVH82QKwPcvVnB8T6oFl/tkCsD8L1rx6I9UG+/miCWB8k7N9dEOuDkv0fbRDrg6YZPe3NWP5ohFgfdO1fnRDrg6Y9aYVYH6RM6Snm+J9miPVBvv43Rx/k6498/qNRN3F2hPQe4L++qiCl9F/811czEOgGNEGenrAz4Q+yKg9quCgVIXRlXBtEWFhq+vBJu/M9J/jVZIanhTxiktRPB1FD0yK8/gTlqfzgkQkvQrq9iyE3vdYU/1/x0ulgKInOFdEDxi+9l8et5kASUzsC82HuhA8rGPtRKsRohrpwutQxWhM377jb2DeK17Num5w2dHi3AbaAnDN0snhC8EeRtKZtmDBtMsolcJ+2HnoEpqNuorO6jMbwLUyYZcS5aEM4/qX7im7E5775+Z6Urs4E9qNMufYSrqJgLHxsD1mytP7oH9Nn5GEq+V606vbPBDLt22tfqlicHua3LLBqa0cwOppxMOwDyiYz73CXpKIql0Pu2UiTSa/42002JniCGYhIS2NlTOKqtktRjhhuuM5z6pmloZijuPHROaW+BfOz/8bSPnAa7i0fc1ZPVp1Kf8vLuvzTKlCpJv0dZ7kC0WLitzyN0hLKcJKQSC7pPoYrWAdmywWtiOnWni3LMVPjhgwK++nM22eTh0rjd/Ekmc8UxmwuMWIq6IZNvctoXWvYCto7X0MLuUkGbGO+IljYQXL8PahNEQxEYgdr+aIs6Uj25jOjFoPu+GMWhuZQvnzbvIGZM7X5QQB9PmNrGKm3Ya7eJyv7nYKYglF5Yd14jccUjaA1evNtxWDhVWMAPp8Whp5iCwY/8Q96lp7jqFMKBkTmK+Uv+vnf05zUXyQdhEn5kaB3PZfRIcXNoGUbnfBFK3vDRCuj40J9m71WJGsAjC65zkW3SZf22DTmXGdoNp8coKtNeXsfP+62d8WYOf9uobVH9QOe+0Fdhq0dTMyoAa+Hsvfvz7iMaiDRfO4Y2UgdgXaen8MeY2Zjb/O7rSbU1/ky2zP9yn92ScIyEuKGtPUdMxkfzhai8UyvKqibagFhVX9UGB9vtE1FnkFn5dGna2R2FWQoFfoQpY0nWYnwPIOrE0NaAXu5Lpvj1jbwEIgq0wXyfL+MmjNRgNt+JzherU+f+H4+RdBS+6oSpyIUXpEMmnKayWz1VW881anbECaGX89Zk1hcfluttrScrD+qu83rc6Tc/jn7nPczDf4LB82jwmHWgtpfaoMjzWa/TF2A3iqi+bp+dB0Jor9QjqCIEdyOwmy5uv859JPaoo58Io8xGO3VZRhyjKaxHm8lc55ND/rJae/OkF/BkGF3hzxnAnebEJYMIUv5kHkhAe35VAoYINKBCeMs3bnUES80PGikd4qD9Erx7KbgtGzfLos1bjeDtHDUgI2+youj3D1eQiGDrQqaQwOxPYt0eqN7ezwx8yMdZdscfC5rRMrNBf0Xtqjr19/dlwPRaOk5ntWV7ZQ1jWhZYsbaiL/IAF9cclJqGrzM+FioNUih3URt8j03fcwP55Vr2m1skuxeIyZDgwxaBK8MlZlI8QqvpkwYrqIQWL8OXJLLTW8vyHHczV0bCNTPBsyAXId2c6rqRD/TFAu7EZi8VPg2YCQSOn839nL+VZ5o4FEfnEszeEVCk/lMptBj8sKCxCFhG3MhFW8WQB1mwefEqMEP99Zw1Qe1Gw6Vo833pZdTYIz8eOaMCe1k+44O44wHu/m4khJ7lLly1a8UTyL03t9MUC4yP00TzrqKneuoTdZfuCuQCu6BvnZQv7gm48TfoasJ1ncAyMwNds8jKIVlbKoSnd22LIZaS4xu++rZac1fxYwlxzsyPjdqq9SxKqj4OMPcyGRuXHjJV5Todz7+C1v9090aJTBko+zwV22yQ5P7LHLjDL6CXzonbayv8jufm7SDjuM60jdkwZLKZZXjfIFQNvW+oOPT/dcf6NC4UBmpaDlq2djB6VdQfNWoLyuZxtN0WQlLW4oB0emrzq3taJMjlIjoF7+3nX+z7vOhx+xble619PVvhS39zGNJdtIE0ak8114N79eX4Qp/blc7x4MOHU4bf2whR/l2w+9N8jf0o1HiQjTpufd8cXNOsVq4vYDZho4L1aEcYLBoq9f2zKaJzbBgyEB5M3O5JhZV2g+RT8yHxt04fjPVY26wloF9bW9VO5qk6F2iP08nxtERn+C0Ug69RQ9ZU72rHxFsa1hLVRRbdnjZq+ykVTpPOoeEJ3ISnF4z/AF2szIncedarhVfmcWZHICy4yAXobwwd2v6qixsMS1QRUGi/muLz+umsv1c+eEUdBYDLfcM1BslxSDaHE+KfbeKOw/xTSc2ESjFNhWydl8L88bEEVrS6+sf3+CFQgo0rqg8KMZq0D/o7PclXtFejFdvo/k5+bIOp4n/ak/OF5Opr0dvUUPGrR+x9uyWY8T2zZgvS2AuRRN9gY29XrnV0m0DRMxuAu24d/KfXmw+m5Q5Iy+9Y5BRk/w98kPGk8DL0QYXITPiA6s8VQQcbx8riNW2KzHxxc0Q7wecl2tjeJKs/ijPd5bNHbnETjO6VdK5AW01rQUW1WyeUHZ9Ut+cdaD1ZD4LjNKR+Q+b4lN/aukPDEz5ddwbTTG7JGaxCgrhI58lyz64cPdshUv6zGVQYNwVuxSiuEnAl+XGCEfSC5CMNuxlIBdiCgQFDr2cFRLriSkqcdg2FckrHlQ27Jw1jrOufc6klaqdgRQ5O5WGn7Uk7hJkdyGsbV8WeN9aiVk6PCg+ZU64jhqiFV9Z3GxAIHJEKGfgmiSneyQbXszYWC6weO8QoOHoetDHwrimCB/IjkZ9zxb7co/y/S8fMdF5jjQ4/bFcUucvy2snCzq+ShS62MkxrzMLhDH5/FEd0K38EcvmWDjucKN5y7mZvBjF56o67DG6ymATLeYIhDJVbmPdG+M3Ycu/HE3vzVbJTszHraEgpL7OiSmXk1SKNRH6OMpqA23KJrdS/0x04V5OAZYiXMThmguho2xiVEO5g7F1YF+OvaeHmKfiMLYcAZN/jDe8ZlB8h5UmYsFwY4q/d4PUa9h6y7FZLJyuDzWkAwW2zeVsl/u1gKd5F6UzaoGjCgCxYT2sUKz+Iv0HmveNvo2oz4iI0FFiIXMwLqr6XoyiRt+51VhLiyBnnjLNy9Uw3L3aivQb+R13XGL5hdksvcpRkpz7VbT8hsn0D1qvJfP5mdBnHEAWGy8Ph7JRfFaAQdB5zhdN0szAV+47NrJ66/Dcz6+Q8rJ6M6oXxZ3mMYeOvzpjYHXO4WjCpB4vUyaek7nrXnIKNQv+6mAMNbxTGw6PeJ3bMFB0A4gO3no2I1HxIQn8fWJIsNeDSyD1q9z23sdMVaI+NbfgrrFeKz0AOsKComVZwHtJSmLrcz5GbR243JOvw0BmkBF6M9mvZHbuPjQbqSZPNLoQTMIvIETtwrmJ+WMckU9pwcf3wuSOP+bJDd7uEJvdDZoMJIbWittXgIFBfRXq6W581zbYg1LFAugUBqbGJljoPqlqWJqrb+RYtxQ7xvkYmdKVHE0+uTh86PmJ3qGPK+nLjwvwswx2d+hrefkRRn8R1VhlqdiYadXQdddie7KJbwi/TJrx9BM8csFHwzU6nWWiStT6PnT2FqqYGgZtsN91jJsW66IRb6OK7Na9ZFbNgPMZtXXya8oMnhzFBucAlE71U4e8lF3fWUz3Xz1pfaNvouud3FJg67hznV2aO9MoMnbaCi3ggLv9nN8/mHuX3gXk0Q/N3cvnCOw28O0N1LlAKaEyvvC0gpl5K1MtBH+fvJ/NhROTNK0egXde2KNe7ZSOUMvg17tQ57oXAF4chJHuRXWpM0Ip9NPtLWS4NoNlR2OdN2KgnHGU8daMycOJRSQ0Dnz2Xvvio7iFDxaSIznBkEawvy+ziZ7seJwytNwyl55hpLRElg25Wwz8t2CdH99q04A32bvMFeNTPtbcxLqT33bM2syaZ0a+d80EEEeK3t6JR67bKNGbSPkcBFAH4JqFq3I1AuvBsuqciwaf4eE1qh1O9FXlxacCSJOLSiWo0/CESiwWIqoKUhNKeHUlr+UtNwl7k0fmGsoZiE6Q/LVi+NhqxiVvp3BrfG+r1cJElN+vkYLYCABSRArO8VUs+rB59ZfPTjazN4zWn0l2MidWUT2Pt0PubzSmSIblZmL7LZsm61qxufaWSo+LIAOXMqo2QBjWI+1TtlpG7xra6x6AdcZSnuwuiuTvO5vr230uuHFP1W8vWqjUtC6/C5Z6XRGHDXpKggGdtDSp2q4lLpkJuWGsnhLNSHU8g+hIfLlzAuVxEvkfSVYroGQDfhLYlunkA2X8aEpHSusmzTqby9GpUG6JLAzfjeodvl1coR5nmrhDKVkEAuD55r0uXwzlgX6tmGbMko95NupUKRTDtuW9G7zxCsq87X+uGc2BjNP7eS1SM84Aw/9z6051tBR9RtEgoiDWoYSkRuJZoRayd3kB4/bIqwVpz0TJwcmlOgfu2fJLPQq3VCRmpcn9bzm1uaDC3Crahah45JWD2fhXLYQw1qXaNmgB3pZYpL+ETbjL8PI/OLa/dks7TqJDA2B2RAMXB2TH3kRm3oGqjCxarKyW2Es+0UYH2EPr8iZ/qeUqww6cd9UlYC4J6dQGJ6kKr3J4I37NgyNX7AIeZA60bmZh+1OHfsbJnjuJ+YRWCIwLM2O3MRtFSOl3CSm2zC6NDdNzT2vZWhehjvhlhr5Yz2Hi6/UZC2oXMWDR3C0UPQq2p/IioCmfRpTODIHjK25eDNoL7VHEwdPJjT4FYqjK9uewckarCF+w3/UgemFN08WD4B2lGaQb6sQIjqOqPlPLLy+kMPhIgkJ1A5ozZ2NqkvXIkw8qfrhGseVpMTSTVmJCs49zYH+/LRKHGUXyNpmiEy3JV/AakVs5sUtHC5yZDbnh8tR13uXbyWZi7puu3AqBBxk497XTSAM1ZbyVOgzRCpd4y0ukn7HOjUvGfDiH5pbE/YzH65DTz7qC9kH8vk6xIyDFd7AwrShemc6og4TyVY+lRxalWPTRGyG54Hy4GBSiXuPTj0cD+AcR0ihNoPWuu9/bUuEDgzchikUeREUOt8IABo91Q77nHveSYSFX1y1ETZZ6GCkSB6qjhO1m+lWB917n6eWEmElz1YVsWbOk9qnDuRYonDcxPgdh6HxX9LUnSjovRoOESK+ZYxkKq5pRwL0/EDT1Sqm7RewyA1aNX2CQxO6kiRtXfKU1VJr+hDQN/S67fOmmNdLCccy+/xZr2m4vBX8q4GWi7bPl+rNic5/SGmDgKP8hhoBSJufXa7TDbhrkGL87dtRp1SQ6gzPJi85hKlHb3ymUiLYUtIelMzE+WvrLdNG3iTH5npkfCZGRs5zI3kssNJu+HUwLJ0fRCCsZO9B7A9el0G/pWnOcnlMsy/fK88DTJl9brb8hV2aICoYr8168PCeOumxbwoTZVXwYj5X3oEcO/F6JoYplzk8KTES9pAcVlUcWiEwmpEIUHz30Y/Xd/KQ+/MX4+jdTSg2Qo+CY4Q7hApJLyA5L3SnM+WCZ8vuvDIOfgYTZn7KDBFlkcZONkxm01t6fB8Sx7MXJChgMPz9dJ0cdRlf9Qnz9o7yeSfQLR6ODySeGOsXv9Ndp5MZ5WSa/gjuoZBRDSeFv+h3KC2kwLdMRVLLQ02CEX2FPLZP0BoNos47F7FNy01uRPGvSFE+xf6JVfYKRDmf4jK8lu9POtaOjyhO2smak6vBaISbmlZRZzuGaG/GubSHyplmjak1jgZLTFx75EtbBH1UCk3k6tKCtiO+m+DTjbxy03+LEbntpvDCbFEYgvFKxfb1OKP/NfgLj/IJ8XmJQz1hpFFkq5oRR5A20BM5Vj5hrUJtjW9jPtIv1tozGu7ra3SQDOVF3p40S4l4VY0JO9e6NiqVc3CMmnmbdEMP5GC23gMKe4vvyq85RJNhpLoSp8OEF/rIjBR1/izr/y4PRAex7DMZ21FaDJkN86i86SzWx7nyvu7RXBLiHL2xUJ4fxC8+wxY5cOVqYlxjaUda/D3FstaFaqstHlo1UT5dz1f3uW/Il3/t9Eqo2gyR7uvhag1lfIs7oVb2v7fpudT54gj7+HV4LTv236F61zcKAKtgGX94f/CjSdGpbTSJk622aal9LEkN+wc5C5Ys0XNIe6VMf3eiZr9KNWDOefxH14HU3dWY5/G2A9mOm4VUpzwxH02vbFqM48jbPMlbr5IEvny137LfdUgULosuaRTNHTHGxpbnFQwZ6Cj/PpH5DQMV5YWoLne7X6M6wUh8UuERlpnfvbrDsEKUhb7Ig9YYppeWsqmAic8D/9CU2ia+dZklK2ucGi/CkbfxWS1ILfolf3tYlTSVNP4fhyCxmNVdJ5E6Rnj1XuNDINR0s3cJ+92Y9v4K6RmqvNpVMwYhhWygRw7M89t5Xo68kX3POJ2Rpipo1eptldWzojdhuWr+CErpSos9c/9d+rnpd6ctiMVrT8MV2nRAfuGQGax66DzKryyYmgSynWQp7v30Rm9s49S5BhHC5dBvjAlyoqRJHrkKROzHGinQNV65aUS773fQx/Q5Zz2Z1gFkEQ2NbFIfsNjvZOWXXGbC89vP0UoKwxGdClQqj1IQixIY0drlxcgevKgzunebEWkbY2k3OUGqCGTyLB2G/pqfE9LGOcmBfbTv/ovEdz/gE744fmbt2Veu8tWdbSfR8v1RZPHlvWRvRHHcyBTt9/fg+HkVaUpnnika8u4wVXVNb+iOndCeCDcKqhMs694oI3h64moidm4zL/FUSdALohm2LQCPUP1rovY2Jb9EAPMgddykOTeXCn763sTuK4zz2GyFUj1XfeHP7J9LazZptLUmdvo+JyzXcKP7y5kijKWNhFIiqPqBzV+92Cs+2ouGmfmv9S5uJ0Os6KZwNCfVl9W4eEj+y/penLjUZXs49or4tA7Df/D0IUbTlh6XcJMJdOkIO1jJeeB/gE/IZeR2+UGmrSZb3X8IL2yMmdtsYZvVrmaTa72t+3eVASBs8LeZFz5NHzNBlZi0cX1LUoBtDjFiJB5U20ZwYnMh0apFGZD7td2iJRTM3QnAR6zIlk9Df+SLr9PWrq8p5WmmpoLZnmFx0FmO4hAGv13k8OPOCTcTEPPZF3hYpquq1UEgzdRtJ5zUwy3LHiba/50+9bUSk+bGyJtJ6k37OcF1uEMk9drz7024Yak/9t8n7tM412PVVbnos1y2beEff2ZqacCdfAExwRvFWDfYwC81s3+7rXpPT8qxlguYlfQT10pM7+u8azl4AP/qmj8bmyO5rB9CpG+pHKwYYWbHY/tIyY3deSIo7uGbH5IW4r837PafG7tjlSQm4IzfMU1K7KxIatlXhDFXkeMpI9S4O9mbi/MxYLE4zygB+AsX3PHCxuezaMlU7rUOz3juYCDLxZipm6oqIL+U4ccpQP6OsEsW+cDSYoAl/YRV1kUjNyPh+QojANWQ3sAKsGvbFs5k5663oWHwZIyWHT57HBJxHhQ4b29RSVg6p5t7iuqR5GN58SqfBSxVpOny7FX1ZBb8df4vxORsK/IjYIO5R/KQkLKfWaKH0GET19BjPYfGN0jxonEMepsTg3Ulcz6ht0mGa7JjMzGH9FPiZHAqjlwTqx+iXiTOBvPJFu5KS2DE+F9jrLqds/ulo92FLE5bqCstBReTrWPuZ0FiiEVOS94s+F+QNkzm+Di8qJ0rCf1/YMre90rzGs3IuN6Ec3pSrTlxv/HGEwvBBs4CsxTGxVhLl1bN+MMdOAwqPuDRy6MFQkXYDbQpbyboMk5hikXf3eOJ3uUMSHHBfVNJiQdnX8x1hG3NdhJv4o5hccCfNDLDng3urhKBNXrgWFHaiodBryfRlcu84nZmWyb3w33aeAcW++WHHpmFiAUMwGj0dmMYhgnpC1ayBeospaWltXAaMuDFttxW38iL99+WJbPGV/uLI/HRhG8qfMoV3ktF7ULe2dhE6tzPauakI7afZu19Gv6bSodi0CuFlrJrnboL9MLIgxZgFtG9qadZKnI62COcZLwwwzytysqR9u3EDR3BPtXpghmrqvn6pDI0dz2SE6llY/pIFzwDBn4Cwb6cfyFpftMdefjYq3bFQIlLtgxKmXQsSgk1hmPDhLixY3aQ/7nz2S2CPCVetlsj1zHfWvs9fklRFTXy5baxt6e3bduWo8oZxJiJkpZlB/ucTjRhf9K+xZ0J+ORTx8YQvKJ71D1hGRUAfRRNxoBszIEpxfFnmfnFvqy/wnr9xSfC4GB50/itsuGJs2CNqU7T/9G4l5bluRg8GL1ocpXmOVm3GjSH8vXACo1YhB40z8orZdFxT1wRJctFEUrNBTknFlVQxHwq/Cyiok6SErqT3jfdRgsX6Mcmm//ASphLjpyWL3w26X9nejGQQ2XSg1tA5NEO5iwNUM+tskoXsQ5Bo1r4KEyTwX8vXnUsh+FQY29iXWcFzxJ2qne9brt2VcytdFAyi+lqKUTD9SscAZs3lPt/eZuq4Lt+N/oxom+jeCHA6k3DmbB3NDquS8Ma88Mff81cd/N5qCTBe3qeel58+AZU+z4kp/AwetRfaeFWgBZV7Ol9kbDbNViLcvZvDII4QPVG5E1XDmh7ZdizHUDPleTPw7l3lgmfhMcs9FLPbBo8sagbN9seXuHjXtLSStQ1HW7MmvvvZetZUn84IjBJ/xgGZljcNTWRUP+GygP2DUmTGzIYDb7199WOvs9kSvE3HYPMm9/HsDcYJbr6WcXn/yOM4Sh1mFyHE/3o6S+Khi29QYrlaIMwdv3w/A8vNXAJg+QFd503hPA2veCghQ3c55FoftvT13Y4O19WL+1goRI5GR+px7veJo7z9dbWNDmo4mVrOV+32GClxwWPbF5nGb00+Ro3L+19+P4+S1EQenHEYtOs+mXwD9yUoQpf9fez73wD9fkde5iUwkbHx1ruSmmCuGC1zb+i9RSQWYkOk19XkFe/j8rE7pEWVXxLxfoTy6928QOkNFUqSnn4ODrn4kmQzQAZUNMjcevMb8Xtd14T4D9wshZoE64hiqA0KUGwHPMuereWX88wDn73JRnF1PH+GU8WVNMPInTfHbWEerZW3sjX3dRWyAolXvzMyG/Vns1051wC5+UsG90dEZ01WnriAthbqgQj/DuKYkMwoB4uANsFX7V4xGI6n55FdasE9RK/kd1pEKjkd82I/qLLEVf5sgiapG+PPtBtW81dgYdL6aYw1RDv2ms105v2JVPPL5s83OzomiUfOPR/xHDP0C+Nuj9Wo1mHuUdIbC2SHk+xQmbfqA+G434a8eNY6MNto5aisFCUbSkA7BX+QUcdT182Xj6Fj10ZdiQcwYc4mhFeDDm5KeZGZK54LQ5A5Zkx8hU5ovQCVA3ZwuuCcAOAbSMOQhtFxxB3Rh87URcwgbuuMEn3L6doO9N/vajmTbGUTUfuMz/0Tj6GFhKRu+sgifWgW6szJ51yUesJ7yMQuLQBO4j3hJ2SrrjPOexJycWtu4nyBSmRnOFlQYw3Z+9EEr/7T74wmm0y+K54xzcXiORs+CX2SmHsld/JnYg6c60eJ2xwJpEhvjZ2JHUzNPkI+I1pwuEmrXgWhrbhUEJeZiJYQ+vNcBP8eFa3uATHYZb5F1ao0KqLwrvJU7NTzfYV/yLmtFKo7v5vG0YjkHypwJSFF9LylLdT5rmK0rwcLWaR9N6vEjoz4J/LxqCyHKvX7MhrDEY03eyTROpbxOLcN47ebV9t6FuiDuFAJyaYIgnExcXsTBgqvmcX0yUGEmeOB23c182sLpTXBlOa7weZa7zX6WaOjmRRkBBQa+rtfiTVYYxCM5abIJI3sR5EdwyD9CPGM6tEfUw3/7n5TFBkKtfJp/Exozq6H8Fgm34Wo0UiGKtr9BUW65gnI6Kyp3mGGzN8kdunKNrqoS0psI2GuP4HQmkNLiNFwsIFfuvpjuS/piCUzzuAWydZxHqyg6FiPyAc3aKxOR4l97pdtTPRQN9+3b6o3WRgnLRgWvfVSl2IIve/WB2KCW/N+DToShq76dKYxfInZcx3Y/0JaF1Jb6CnxUQeLAAs1uwLddr6YQGZyySJh/Or5N3ZcEW/5T1HrEajcyTdjW9d2pU0rt13hK3INv4ARLoLcKX6wX5/17XglzCHlv3bNjlVUVEWVIGBJ6rUPztyr4UALa6jMEHBsHkDvUmIdJumlbJnN/DYB21xaidkzgqs8+y6gpBEBbsoyuz/XqXwSgXj8GGFhwBq/VKVNTB2HUf7TopSbSeEnIT8rlPM3YmzkSepvcPPfwVXPuJt3JKcbBw5/TrbRiJA5z/oK/IDwc6bS6YrR36AGTAecuCkh7e+r2NLt7iR5pl7CdLLzerdf4DwngCQ8+Ksal/vqSMRrIpseisbEjPhymx3GZ0tG9PXKbn7soAqMMzTPjDs3szG13/Pv6LJoqoZLvOC77FA+Xcd1fgwkhCswDfVMnwKefdveK35vs0QZ3VFAi5lvUZVHWrPdwDaFCXJrwZiutcWoWtg7GBhN/GqZxXqrdkDtGELbhMxFKsSPKqWMqfrMSifT91UXrmS5JDFAPZ7bGyfleITCZwdJxyD561srZrWIyEu/M5SO5qxBaNdlT2rccjwPejsoyyNk0fPykc5cYG5iFtcGRcxr6wulKIuxI693DAlDSyZZHwonQ2tfeTINDXYmsdAo8ZMWc9e4pJJ3HqGYymW4u78XEKK18U4GWbkMtdHSbKO83dZjQ590nIQ9AwWhzay4EVCFlBh4d+oTXK3rrbMdnr6sogsbf9dip1Isz7fgsWY9ZpDwLmCI/r12Cx6lY+1bu+cv3/KQtWWc317JJ7Nfsdpgadnr3tZk1X4rL11vPdsyJ/e7Ve6WdsYx63dSyNpPvt5Es/w11Laz+KkW913z0vf6zJKprM+FJ4miz2qjxQR73PopxC6hhmi8B0+izJc/u37+aLkjJh4xxlYPJ3igCcz3RUH9+W2LQMiou95AoZUVcRWtqzrZhdvVXuaNrpscEWm+Bg/NftTW3WoslVsqb20fuBsPOo3rw0LUMH+jK9XexvP2LPur5Ntgn6TwyPi9HN2PL5O/Zbn+SFT13qwgasPxpQSnU2yqE+xCZcZRwRJ1j4t+tbC2Ip8iLago1DQ9098jXBuiicxl1rLMyaHK7EA3+OEj+YXnBmaPQa4Iru60bpW41XCgOjVc7aciFT/dUZNVNsfns4RAKzIoBLVB993AmKgtWY9khiLZE52Jy6Icw7f1VPpt8IORt/6/n9sqRH+9ycRCmQpfiM/YX1aZ7bsQ8+HIMXAKjaRPG6jWu82y+6R9lbJ0HjzJuF2E6yxchllduq3cQhPk8MY96jWXT7I85shvkVz2RNUZxjMun6Ed4o1C17bPG2hQuTSEp2ZDUHoSjGICBrLFBvCw75+9qA9+Q+Xe0Z2U7tTrcY6XVSNRGj90AByQC78JpWP6Pp34RvpddogTa70WW74PV2ZBtHhO2pv97O99NBle4bErlA5fw0SgKTCcXl+r+JcUoGtAYZBs2n68qV8KiMwcDz7P0e64MNSl1pTF7njL3ifG33/GLqs9AUNwa5FSAuKPQhz/yOy3l2gr5hDb2HG3/NYYWvY+ph5n7JMrfcNHktUvCmp36zAW/Mw61N/jXZxuMaYCjyNOsEiKjoP9nkk4VGJYzb4Z6889XjaYtqh2FqlzuJwvgKc2jUxli9s4k+JhyzNVpIUXHQpsW/TOY+zgX5NaF9/1Ioh+saNG5Iua1pOy2RRIwwj+IUo+cmE/35+FFwHQmFDgjakhVRi5L8an0kQkUDp3FDcJuCwevg/kCuWdUt8MwuvDlf96lRTE76ezKshj40gaFFBhZSD2FVZZwj+oJGjy0nnxkibaUIkKOR/dj4d3I9SbiD6VddIJCnn5yvTwO/ycrp0qLBmJfMMEyUtVcdCxZb8Qc28LijjMdjH5Xfrecc22zrEhpeAPrdn1VjqcmDO6tZk9p1cuUO4mwqytUV14Hs+Qg3WvR4lWOoGxIb2zNhonC5/vMtWFqK6XoGcvcus6YPY6nglRxtX4c/GrxAsgLNq6LpH6KeSS02e5qd0/NxBwLFLI5bLpVIBSw6+De8tuufxayOrATT1WWjqlnnszxFdcwcrV2JCNbF+OHYac/8oG8X5KiJTL70geqMVT2CJ2RJGJieXhLq5A+S4xkKuAHL9ixdzS5Nj7pvdwLimIyrjz64B49dt+C44CU0t1v/PlV/BRcha4SkHEY6pjmKs3NP3UquwlpDoEH0YTT5sWhV7CFfzs9G1IHqvHgC66a/konf3BdWWe6rDFP6z6Tvk30+dku7cLmFntn8j9c+bS9Z31zKUxkMMp9e0PoSDfotml78ZVRnkkd5jv8P3nhBhPsgKgWF9XeeoYyZi3KGGJvgCVHhZr79E5yWkWpC3ozIzQRtvtFn8keYGPK8i4En/eygP9LDJYC2tUpN3qU9xVgz+C/i0PC0b/6HnTAZ3HEtP9iyzLG+KkrKlFEpdmTuFrKiMY5pqrLDhHl4iXlIVGAij8xtQtSR8lx79tTHePfCQjIsRe7n+Z7Ek+k70eqjweCV5sxC4AqdaV1Edigl9mrMhpdokZQL+9HwSC6aS4DzU9l3cacHzgbVGbbLmhHOq6Ti6E+PB0HE++/zRpWrcCnIBpoRN72aEIvO8/nki9pCDysJPh9qLafLmaY8RVppNm4d4q8/6SZ1M3ApP6+scL+4Gh6tYxY4NnejXyz2GvMe7n0O9eflZdaVNiLhDadsPDy80dacVIVH2HCt948b4/1ZdDJg8/NuKZJ2PyAY9PDBdjFWVPtnMInJSwGz/PO3nK2o8sY/slfhLtdYQwOlWMJ7xlxHfDWNiflqTopp2/XasWkFaJrG6/NVJxk8C3tfn2jX/2K4vsSvYu9ALLb1q8YVXZGS5/HyTd7m7mH1dTZYnzcg2CW7XOP5vGkjMACe0+IsgnMFOirzlpwqeQkmKgpq5+Ucc4fD38AC4nrVMUXlx6J+UlDiWlpXvDapQq0l3neBSe2Ezo5l87jEq8qRnd0DLmD1PwIekdMoJmtGdPVGu+yOfnJfOtc4sLYZ+BzkF5s3ECtp9XUs842apC91yTVg4/Muij1Av0EuGk3X3mOpqlUZHXJuFNwK49lrtcN/EaO4SWytf6hS4enZ280MK5rgjv4yAoTObpWr1OnQuPM0RexG1+Iu/xUauZD/NiwvvUeuqV/jA7jTPKFyZk5lORAW9MGLthfcs6XZVkgsnI7KuhL+DuizjdqzKHnemhE/1g6sIIJgtR0Dz4uzsnSuHbM5ePTLF1hKnA3QgCli7K5vTB0bfPApMkjxMDwtPJnIlJD9iM4NDl794ZOjAhiVdHB/PIGCHHOjkAiyi1FJBO2xZTPhiYOlXbDNgodQxjy92NWWXSdNhzJBd77S//JMLmVS/f436n6UiUrvf1AqtBbylzOMHumB4eCe1b0yGj1yVUivVgCnJyhycDsFumU6qwUpI89/c8FV4j4fepN/mHX1RbWW2n3Poyw+yOPvT0eAJqr0U2ZFZFYcX1Atg+5FUfy7CfYvphvDUi8aSIR3XWgL/wnGshg6Y2WaxyYGmAl54PRGjTZ/wUS2u0jON2O6p1L043ETruqY1JPsxROnpdjBy3oJYP5b8HUHq2WtSU682P7H1g0pV0NJ8nSpCLQ8hp8nuWCw6m2hJ4aU/V810PsRgJPrKfu4gkJtCafLLBxH2MyqSTstfD8e2rIj0d7IgG5JBgJGHP6BYYH/YmhI/fpODn97JoOGXq46P42EL7L/JP+nvs9hmxE13LzI9JjQIc+50gX4o7VaoIPycCvSOTDA2v+x1/JK8WUzQEaU152nBCYcEn5E6JlDQJLwngIyuhdfWgfjHy9LVM/9Y1fUPv9QVARq+ujXcE49/X5i/MWq+a7NcFTYwAZyWZS1tNRoa+FCe11pw0FGxKDn91hZ0wEgB9onzqrIH7JtOkQoVArxugYSioGxEba9hMGLCci25fgEHcZn8VFuqfky+wFvCtmMZvXXIhKDapOjjXie8H3BXFobQFMH3V5XeGOjVBuVvvuaAJTY5C5kW2CeVInJP32SWxcZ7FslDzYKOCSC/SebJ/ygGcdytZ4gLAKLse03Fgsl4pEEPx1yB3DNlZwH0XwTDsEv/ZIC69gs0C5s/b1Vp/rVnrHL3Ub4I5tU5sNM00i6zJ7AxiGiGk9B3jlNPssdMoQLjnDnpf5TCbFFEZXbVpBpIPBYE7aUz6EojkXvumlnBGyXwfNBsICl5Wd9t/0edGE19uPOReLg6Qba5biE6GJkHUEG5YVYuV3ThIdhWYArGRwN67qQuuAnCjn3GnrWdrgE7GvgeYGH+xwlMWctOVZzJh+zYsqiiZ4H218d2zCmzmqXe9tJKBcN+sgqlAA4LrZPqAA9qpqFEaO7OfFhg/dPfqvWlfjGphI+VQdMAeCI8Sfr8zO/fOF3rZ2AtMQRoJ04bQ/KmCv20YNI0eWMr9mYpFcLCr3O3FoFDxeb/5e+JPlsNv4qVHGH0r64Jn0tlziXXhXY9Kmgp6xItgybfs6WQ+CHr12LBVIbsNKcEzGLXEwSwFbJVu2Cmb+pGtK94n1LiL0tQ6326hh212XUsC23HO1xHQUzC3A6hwBdS0ftS7J99XLH98px34lYfNwktWqP7Z+2z4n3aUy+UyLfhDSsOSUrMLcw4rNhZcFvgVAfG/CDOo/NiUabrnXiNFEPPF0IZDvallTP/WE2iidkKwYJISuYuuCRhUp3PIXmzx5iqOSmcCUE6nEffttvURUVmU1zpcqLigMQZRlbzc9wvh9ROQrJhwpFp5zkb70YfSoL9xKQqZq8Vvgirv/DB1f1gvs1jroogn8ZyLiT7PA3gRm7xF2WHBVzzVHb9uV5UmjNvxW56uP8On3klosffV76AbbKwS4MW2DX/cKoL82Jw2LI2GpYOHFIck2hki1HON+CjmNecBj2WWgLC12m5ZGj/S9Vc7UEGnIA1vEeXiVwaL84j5MW3k8baXTvQRsPvjAhINknC/DoIdswu9yqbXHXwwhsIwOojXAi/yNO77M4rvXHDdOXsEYHBjfjRqWx0om9XQNXAPCZ1QkV7231NC7TrHYTMKcsrZyG0J7Z1s1f+Ow+pyJDAGDONidGBZ4fE1MqciJLSto743VA9hCyVxfy0j3HfeRDF0dnPkSoHKwW3HeQM905+Mmu2qrXmaqhb1RgAHb3xEtKT2dTWXBmY4+6XAQcq2C89Ijsb0NQyzXVIcX6fLe3QtIWia97djhErjc4WvvqGmRabILOrNXPlJwJpE90T4iB0jLCH2UrQVeji5CmBZhn7xZoZ267vMCdvnpnLpQ/hsT4XchxmKYeXvqn34ExNTkYhwuPKgO+FMuzL3RNOPtGE4g99Ala/AubTKzSSK2Be+U2uipourgNS9FrU2UtC3ZSzaar4/+gtJh+DzNz854FQOtS7TdnwEuWJFkj/uHeuNmURfHlClOcEeG5DIwtsdM4OyMuWeK0GlCB5qo8GNfl+cmygvsMbpzvOuV2iwtq2elmM6/doS9PaA+IdRU9p0KOwewzRznNhl7vBXnJ9fSq9K5/jSXx6LR63laBSH0W0tqoE75n8WR1F3T6rsi4fScOOEXLX6ufXur71EIzSD27yoG2aPwZcgmYBC75AggtI0lNdGhFI4N98VsvcSHPaOepHPG37vedR/fuvhzyeIxL/w4U7yt6d0pk87NbfuqQLnABnwraFhhh24HH6JLq0Ai/5Q7234rJTXFfhnxjOPxfOYRfgQcdh0/qsXAy5nUYaaitmln1tiZ4p43vYkHSaSWXswDIXc65nrzvKpJr0LfcN1lclQRCL9IqCmDqa2Nv3IrD0YC7pIvdseMJA68Rz6Q3oUJ9kvO5+N5WJAvKm0HiHsccK5DYfQZfO6CMqeIJSn6d3GZaNHhSVfYDfIfYZhdOnTlu9yRBOrcED2G8mx1nEXltFSJz3k0CvH63Lsg7nP9EooFWkGWM5ZLtYWt5wqgYWceyjvVs5Mua01d9nT9TUCtLbdTLXba7IBfpzeWTPJh/MYOqj18YW9XvYspoqnIgWpF9F24kkszkQfVFK3n91HVGfpTVmbFjiOhWX6RAe4JCvsp3KYdEfzcwLciqbniroScfRjOwF908gksOjAl46IW5SbDc1n+7QsH8g5qWOkl1FKI76SLOjGnwHgOgOzZpyl+/npSht8lscXWzBcNrlE2LzTp6a2ZUMikzj7z65hDbZf8chtS43dsJ5RoVpHy/U7Xmigm6rzvjhsOPYc4lxL8NlUPzCYCOesDKAM+L1tPws074Ti/Hnlx04PWxVYrYPYyd/GPBoKC+u/uSiszu382lU+eC+iuVc/0zWpUUVov5WfmZviOGjud2VMYORSZTtpS8hvdRRmI/Waiut+FOSw/LoMVIcOJC9KxLY9NvuMeFP1yNPN1Q8MzGRWoVVr54jt2T8/o9dJMLbnZkb5mbvP2lbS9NtaLEmDC2CVwScle5/90XAj9vGgzih+Do2oGwbM1fdMR7cBrtHxcXJ9PJQkF4dQzRLl3jT9FrYycVA1Mdpl4E66/2A71eKyeHMJV47LwC2SxP/VxXT6frJbGQOQX4XCqVP13WC/lkehi16g/c3L1Ort0MB6xrlvQVKUBXeKB2WTxkMh4HC5tN/V39vMa3JzRhl7wSi4MKD3BLBItsH7HPMWIMTry2kSxIxCf79YYAvjcv5bupqLLcnA8axVq2Y7mx6lITtyt77ytOuDPPkTZK4zxXl3RTPySu3C3R1RX9q28ozwH8c3AYqW7BL6micaWmauayO7nZmmP8zVUHpPCN7UMXlFLmbf7xtZu9nSXX4rlFN4zrP4doHQsnYU+ONIerg5UWbhwokpc/pEhSPx8+eZNmvp1UxJV85xqfVD5XqKn1OLTmO/tl53qcTrHQ9aIxxkXMnbYARwiAjAvmSms1XrErXwPXkxjqPwvGqqyQKHkU9UY9OnQ/JwYcCjTpQ9PuuTM0s5g7TCe7uVIFhT/37Wy/Cu1Hin676or6VQ1wD3l2YHm8+2vUGyTJZNFqbt5z/0vrNLmryzjhpuzrSm37mcwwM9D7PIm3WvrwwLXNPZHIR1G48M2gZsOCUB1fhwR/oEkhKnbW+BjRSf4sciHcSIyCriOA0D34jNqwhrM3FNIOPc7k2ofB0VOw+bDZX1V+y24LfX3EOP3NWBiWiSAycI3QqvkFTjGasBe4PsRkPcV3qsiKCXp30reFknsZMK6+e3OS5Se7O6JJvaaWfmmhbtsA2wPi1o+jV1+sD/tF7tl8HLxBXQ/bEK1n89Yq/B2uqIZl3PIVw/iMUSIxT94mTqNaPHdVUJ7CRL9A85XMpDbpNCJ3FB1bumc9nLE/9d2fGvpRU858KcwMpMGxsaH1ncme538s6XbLQFikZ4x1Afah1DSJ7Ff1ne4AOZfAER4bAis2olOlFeWXROvD/NpSkcVxPu9AEtKMEnEwUgBnymEKDVh34lXjnMYRrdL0WvMllo3RG3yGAeNeyJ7o7+vW4IhnK8UA2KOHMfCpr5dBwqwis6LDQj5Zq2CPWU1zLVCZWEM2fy2Tgh6Q3LeEpQOXm5OxsG0l5yk8voJ179LdOQ1cxT0H56TRaWUAVPJtL7edMJuBCnAUoLZY/5pUvngmXFlrxtnBgaDvEgbmUFNwDc4JlyUspIkEj2MVdFXa/HDRjLLNDnTiHOU/mlZ+b755LQ8X597tbQxBFJwdS51/kBGu9sEvhfOnpp6cmIW8thPIPC2a6GSv3+/AdzlHNbQ0GwOwuaMbejo9RgM2MmnkrTRJNWkh98JpjgFI8/2Uxaojoa3QqsvG90YPPxjbeZlWCxk32mXvmehe0RVI6GfBaCsth4ResBMUmUZn60/jn1JuhOGp3ZUWfI3kcwyomiwPZL2CdUHEW2/TiS9y/IcffibbH31yd0Pu9kx+jf4py2+hPtvwbvLlwjJPpRdS0r6M0xKIlv1rTjkFD6kpfiZUpQ3o8Bw5iDJRYLI9t18qSUUJCbksrbItCP7KzByj/b0ZHTu6lAvXVUFNHVGKlYuMkOQXMU4NuC20Mky2SnHbl19hTwR0qxNzZfHXu0XS2MVd1v1fWkO9xRXrFU/er/tYkyPMR7kYNud+jk1+Z9j96UeXMp5hRHy5/xfLsEcdua9DfXbeAWHyIrI+IV0gJaxvCMIuNw4C+Gnf7+Zyc2qKpwHbi6RmEnUWKqTDFgcyi76pnFK7lM4pVUjEA9FiVaVkMfzn6ukN8R2I1DCQYnVmmEBPTQw8wNYVeTLz7n68wt9RWG77WLulVrve5Uxfaz67izjo+PcMdDDvatC0XyNLtEAUfcyKRB65+fs7ePncq5OAqvLZGX3DxbxRpz3arLRkK+Ot4Vpa/aA3RzPLszxA6FDom3BnSOtX3IYe6hOHSOEXP4gqxQf0VTbzjer1RlMJLUFWdOHI2gy8tT+C7RTzhe1c4Hauwc96rmd9Q4PuwbDgA66WgjKCM9Pq1BjZf1xeHJty2CXZjq4vd5nmRjb89j4zqDnv8cye1YIyZaG3FoABN94cBBOiyscnERFFuykw9q7b1yTOZvsy6agqEMe3fQLSoPJhHoU3smZyok8vPkc1daNl53RVBq8TEevTDvvgqxbPhgxgGuFtWzskozCf+Qj9Vtv36sj5da9TR23vMgHckxtjMZj6M+GzUNVrVKGxTNpNRf+wSl8VI7Il5nIWaMsGVvbqdTJjEqWd8RmICE58dAbBb+fcZNWW2SQTmLkcf9RVti+NaAXOEQqWf6aIUymGSX/ygbHV3UHebaJH0xIVSoL8eL+iQ03qhh8Ldq4vG7OJQV0efjB4iXAbi4gBNUXdvnBdPp6/cmtPD0F/hBZLWiFTp0o0y2g90BBuVf+1OJy3pYjD6z2QNtJbCtPAg8f6BpilzsK+n/lkTijmFaSlpPvvxJeOVZp7Lmjt0t1FLakq4sN4OeEOGAt+CPMOrPRyHcgBSL5Fnj4peieyrnSgbYGJhAUJ2EiWxTIFpJKHfz9nLpdILhwh1u7UJv4UaNYZAVAaC4BWsYzSbKlGZOnRJN0Na7FumX4B0TCtg6Syddept/UBU1MENFAEhtmEz+xp9KIVE7SHWCB2+wLLZiMUBnMCLhGp56jZzPUs5G2VO2k3IHIo72tBj6nUuQR3xLXlyjz5x2Ha3L9BhQsY3NHBbHDyhdVHwHakvzeK4Tsj7yRtpda0vmrR75as97/IC2rW6rr7EnSwGpenCsXtW9kVh0U1MsufKm8z1yMUhxM+ioC06sUYXbQiWSzkOq9GZtViwSBm1225K9aFZ7xVOT++/dQ76rKmks0FzxlVSDV13IKp1imoH0ok2w2I4HWwoBiMdD4wGqvbZ6F8OWc9IqCTHxAZwXM9ajCfUBmt6a/Jzd6Khd2Kv2bcdcMRPln9Ze6Pa+Rz/hTzQ7W6I+yPnGRKfiVDpVz4e6YcZPlcQwugccP/91KAajy3I9lkSU1fddinTenfoV3GHQRo1h6ZK8O1ffT+jq2NkxhZsd2UVTghC4m+dB4b1xAm4+6/Myr/ULP5S5TTm7ltvd/MLY+yHLjRhJL+DestfTD/X8iE/z+vqOPyZKI/ek5YBMzoKwkN85mQyVRdrXPnmCUFRIN93foTb6ILlfwoaLTrTV6FVw2mgMVBrM8+9X/tvt3egEX6pLZFVzghdCGr47ArNlZzlAMtZ9Pc/d5HetG3Og3xOHIuWEe8PAXaqiC3u5rBysW+YR8ZeKpfz4Ivz1iyPtN90iQe1CELLkB3R9n9SJORudNVviezKwgjL2G1h02aSKS70K48qx+vF27Mj5g85RjT2FubNNnFeLjtDr+wVan77sAufTpPSSX61sknx1thTi639VWUc2dRpNST+NikWHjPJb6i1uBZiGGWy2xWK2gOWKGw5wFM7zQZDsWtf2Kw4ZydsNnyQXygoyF96pN6HzrcDJV8Ad4LgPBI6v3D0PZkKF+wToV6o3oDBjfCUU2/1byrbtPoK/se/Ct12VPrVng0NKf6KCnn6uSay3+6YahFZhYc6903zkG+eWkDDcwLeOLzxc1FOxDYVesYEHMmErsW/MTWC19H7NN76MmCVPFaGCVZoe6MNkWw8FS7zmLDpyYy/L7ibWpZR9hGnT5xNjkpGBgUEYMOttKbrXlUUttTdFoKlbGMm4SNSCfUCo1cCNRmU8rxJUysSt0KcPO6xccDMwCu/EH4abcwB+lYZv9UJ6huxN4NQd/1hTuA6SEMY5flCa1VF7aHX3+sS7X8sZoj8jVfO4E/zwy1TlCmzmWoWF8uWT4wcaev9fAK8RUO5MMTYFYWxLARs0Ch3Aex73VI4t4GSUCP93E2jK9FsNXcMo/R8j2mxDeVeiE8coaupSVfNoughCy8Tt+v1pMwkaGVHbon+A11SNI2KQlTn4ud0GfnPGM3hXPKeMVcFh9JHu6E7gTz43bPLVNzUkMDMh+yKqCaDgNBo5tb6vtDP561hMD1C+sGYoZ5YywejEJdyZbFgMO1ZpWFI5l1G+eHbuM/OoQ4eVOdjpIPGywkLT5X8vMnAyu2UkKSVnmBEHy8XKyuxzz9k0iyrJa636ClEHv4KS3YQauc8MansoxECyM/5WnF8WNW5GKn6BgCf3QexUy0JtXgVS/lHZmnPIexK3nx607Ef9fgiKpbzGPW2GKACrBc3dGWbHOsCxKxJt7/Hur0vZdmXZLUvw93aTQCQxEW4NjBHZ+K3rLSoquZVY3bNHqvfRA6eb3Nu8+Pq4Gkdk2DV3/7ULxSQQ7y7k1wkcjxk7DnXnb2nDukrcEAEpgs0nZ0z/1zy8DHHD8ifT3L0tb3OO+vSQsApQNMDv1bWVuRLNSmw51clAOwp9+xMSIFVIecIIWHcJ8l65gx0DnliFRXLEonv3kXXeyt0/WBWPMyBbHLzWUuu/dimdeIFWc7RPzvvVPx6Jry5F3w40Bss7vG76oO7dTtD+jE6wOjwGbIC4mdGf8lI3/D5yqIVxpfCmHU8z4WyDc+6qx3T1WEkVWLzoII7rjLZvYTAecmX7KzStuEhhwn4BG2Eiej5Gj/Yyn1WMI7LCnte9Pnph6P08rVN/Xm+B52KnoMSHW0BppLDT2KWT7etfF5YtMi7mZJ6edelMQM+r5hdGKRaHo1GhyUagfx5bRQsowOeX6uqKa3TllXQr7nxUN3eAsP0sY/NsQU5im+RHLZGwWHLb6tLWRcnQzsdjBsALWO1U9Uakzhplo1APTmmJtbeqxYbFTdS9vLxluIoi6kKxpMl9ZQethBrQl9st1w0iqI3LE3MO3Ml3aEEW6CMDB/V2VCghNcMn7o91LOdoHAfygA80vSujH0Fg4uHYHY4o6nj8EJC6KHREKc3ZwPhvD15y1oNciFXZDaqCrqFG1r3tuu+IrxjUsPOifbo3djdoPb/9wXaoeKlAW5sMVmttTBzztbT4Ua6f6/KEXeEUl54EA6i8bp7ict+VMKNfVFerLs1WbrLfZVDHFXcZI7IVdrUHoWqxhrwg1KZha8/jnrA6WGItZKrCrvEBSbvuHGqdre7ST5O1EHIjIZ+i3ORSNK0m+GM7DiNWMhKymcKWQJkScP7P514Q/kdPWnVsY0Yv/N78ZoKHNuvlcduPOKUYecTYcuOncmeGofUxwuGNCsk5n3kzjK/hDfCtP9D/1QvcQJu0bvNoUiaCvFZJx7A7WJd3DJSkscibIj26AzM68AEw+E9ZJ+dAQLCgaiN1LC8w2a1ic4iCwfPN8ycIsnCNXE6cil1mAV8yi6GVzzgPlXIkRcRYF3e+UmDK77i7/KX73qTSdaP+WDLWLu5/wD98SSdAjKUDKLsZ7XYb6SNOpxfMrZoKtxI7201qdU006vj7iNHChaRqYrKBbJTgNqgmJWKsHyHKJjK+AXneusrFWlzAS9X3tIGuLSu6XpLBUOhgbSmkqq4H2tnOQmlw7PWvJgQD/cW2xho+OmPrkvhCyh2JIPeyk6nkpn6mxeyb0MWJYaMzaRrNXlHUxUW0ZusltLkeECODmaTIo9Wgne1ffViV/h+QQ0Hd7F0HeV384PXw8XM52wWtDpJSJvayU5Wz7jwXtpktpZpC2cyQW24tDYsARTmZKEHWEPPeWm2xqW9nPODE45Vmj1H5jXqfU3TdMSOCzPIuJdWk28JwkRKTis+bsgOdjxMAb9ekKVoZbBDJs9+nE+nRk/KA0O48MbqXVH7edCTTDjUamA/Xkm1Z0OSueEGR2mq38FHAt2uzI+kN77P67vT3Vrk/zUQYRW99FqZI1Z07iLkt6+EFISP1uL8iShO3Kv6+ZS60RxmWhckYxAFS6RhQDw5qM6C8e+7UhftYz8eagMS0pCWosMHh13hECOmHvxuWFycL+SGmi6VCTmjRmifv2a0Q9ilhzfaLEIDjmfbpRjD/aHZwUbnzgJpFMGtoB747iZeiTpbCMo7l6Kvfl0mglWcaRqTYxMJrTPfxfkrwiFGo7DN4uJaEaLsMPDed51D+qJLpuXLIS/AikpaI9GBpsvZOthk1EecS7v5cQTQsDzJavfg/9i4wy+2xKzOGHXYcKxrnfuahqrZyZ/lg14OEDtspI++EGDAU37/jEhswh+pA6W1NHT11EKYDwR+1wvtsQJDBJfVcCksswNQAbvjv7+Km89p/XtQzKt2NUGCDnHJ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   "source": [
    "fig, (ax1, ax2) = plt.subplots(ncols=2)\n",
    "\n",
    "ax1.plot(stds[:, 0], sample_std[:, 0])\n",
    "ax2.plot(stds[:, 1], sample_std[:, 1])\n",
    "ax1.plot(stds[:, 0], stds[:, 0], alpha=0.5, linewidth=8, zorder=0)\n",
    "ax2.plot(stds[:, 1], stds[:, 1], alpha=0.5, linewidth=8, zorder=0)\n",
    "ax1.axis(\"equal\")\n",
    "ax2.axis(\"equal\")\n",
    "plt.show()"
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