{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Posterior uncertainties of the ODE filter\n",
    "\n",
    "We investigate the uncertaintes 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": [],
   "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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       "   </g>\n",
       "  </g>\n",
       " </g>\n",
       " <defs>\n",
       "  <clipPath id=\"p3cc5b2177a\">\n",
       "   <rect height=\"111.190909\" width=\"446.4\" x=\"47.807559\" y=\"39.6\"/>\n",
       "  </clipPath>\n",
       "  <clipPath id=\"pd910750cdd\">\n",
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       "  </clipPath>\n",
       " </defs>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "<Figure size 800x450 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "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()"
   ]
  },
  {
   "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": [
    "# sol.kalman_posterior.diffusion_model.diffusions[2:8] *= 100000"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "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": 9,
   "metadata": {},
   "outputs": [
    {
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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": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
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     "metadata": {
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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": 11,
   "metadata": {},
   "outputs": [
    {
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IxcjSxsgY4vAXdSOApIgKwAgS4t/xOZk4WtqDnZicLG0eYmR+WAZyzhIgUzE7W1sgCOyEjPxAUNzSEWgCOXl35r+v1xpk5wry/C8yswSZmj3EYepsz6wBsnRwBsqI/+0DMSE/2syBYAAnCwsLDwsHAOgAALqZWDA/bKDubg/8a5D1wQwJwtvT3s4eYAaJA+htaQaE/EH2dDJyAQLAjs5Ab8+nA38iZFZWgKmlCRhgDDS3BCE/rg4xA83+gyEZ4GjpBtBlgSQgK4Dl4eef//QhOWZqB7Jxf3T/647/G+s/VlFROzeAJyMXG4CRjZMVwMvNA+Dm5AF4/zn/n8j/G/VfVmUjy79ZsTwuKAMyswPw/oc85NT+DgDA7PJ3TtD8XTG0gD+2ADAr2kFyGQigeUx9PRZOFhPIL9b/3wXw15T/K+0fVvn/zPz/oSTpbGPzlwPNfzz+18HI1tLG/W8XSDI7gyGFoWAHKQ/Q//hqAf9TzwpAU0tn2/8ZlgEbQUpEBGRu89/jBDBbOklaugFNlS3BJhb/yaK/BzQeKtDGEgRUtnOyfBAdACMrC8u/ByF1Z2INURYnyLX9NQaElNWfFysBMrEzfag/Nk4ugJGjo5E7MmR3VgjkBHhC/kJKAuj2V4IDmJlAdmDIJAAkSm+AmZ0j8sP1sgCYpYxsbY0erH8ZWAHM4kAb8KOBDcCsbgF8YmAHMMsb2RqbPlo4AMxvLP9BnABm5UfEBWBWszR/sgE3JEJ7SKlDgv6viQcyw+JxCi8EOj1CVghHJVug+ROOEJJmZo8QQtHsiT+EoJnNI+R4cH4yzPmAn4xDGJraQV4Hp6d7cv9jtHo0QniaOz6U/z8WCFUjE0jWPJ4WhKyJkeOT4NggZI0dgU9msUH42hqZ/OEE4ez4cI//GCCsTSCZZmPz5CYgzM2BjrYQYTK2cXo0QwIwerI6hLrdEwghbedkY+Rk8WiCsBaReLzPh/N9AiF8lf6cwA4h7ORsb+/4kIv/GCGUIYllY2T7aIKQdnC2AwMh/P4jAf+MQKiDnG2NH0TE/DFs9r/OHhKj46MJQt8e6Ah5bJ7MhsRgZAuxOj08LP9Yef/e7c+tOCDh2EOePJAN0OyJlfVv67+cIZEZOT0s4WT9aIREZm/j/Bgqx8Nl2D2tEg5IPBbu9hbAx1g4uP4ibmn3yJADEsufJ8kBicQD6Gj3aIAEAekeHosHwh7s+jgOEU9msIUj8InHQ7bbOT+eGOdDvls+yS9OCF0nyMvyD4aQdYIk4CNXiFgwA/84CE4IVZDlUyI8DzE/rVJO3odlbC3/tHKx/DcNTCEP7aMZwhvo4Gz0WGeQJwpyXUCnB7n705X9ceDRCInB6JEeFyQEkUcEoS/6iCDUxR4RhLf4I4JwfkxtbghXyUcEoSj1iCD0pB8RhJPMI4KQkX1EEC5yjwjCRf4RQbgoPCIIF8VHBOGi9Kh5EC7KjwjCReURQbioPiIIF7VHBOGi/oggXDQeEYSL5iOCcNF6RBAubx4RhIv2o+BCuOg8or8Ey8jEGgj+o4R42R6r+88B9n8m/FldvA91Y+lo4mxrZgN8zEdezr/EFdI/Pi1yXq6/l/9zbUgQj2XHCwnC+BFBgjB58kxAojB9Ah8y8Al8KJsnEMLZ/AmEMLV4AiEMnz5AEGpPngEWCCfrJxBC6slzAulxmB8lkfXh9QI9gRBWdk8ghJX9E/hQCk8ghJXjE/hQx08ghBX4CYSwcn4CIaxcnkAIK9cnLyaEldsTCGHl/gRCWHk8gQ9KDzJ9qmOsD+8T0PZftgdRdAaZGzk629oYOT/h9vBEgS1tTJ/cx8MzZWoJhDwplk9ienit/uelYX3QGCd7I5Mn0x/05V+Ny4PA/Nm6sD5Iy5/NC+uDsPyrfWF9UJcnDQzrg74oP8Xc/25iWB9k5t9tDOuD2jxtZFgfBOePVuZBc5zMwP96OlgfxAdk/K8QHzToX30PN8efjc+DFD1tbR7E6Glr8yBHf/Q+D4r0R/PzIEr/2/08iNP/0f6w/k//86BUfzZArA9y9WcHxPqgWX+2QKwPwvWvHoj1Qb7+aIJYHyTs310Q64OS/R9tEOuDphk97c1Y/miEWB907V+dEOuDpj1phVgfpEzpKeb4n2aI9UG+/jdHH+Trj3z+o1E3cXaE9B7gv76qIKX0X/zXVzMQ6AY0QZ6esDPhD7IqD2q4KBUhdGVcG0RYWGr68Em78z0n+NVkhqeFPGKS1E8HUUPTIrz+BOWp/OCRCS9Cur2LITe91hT/X/HS6WAoic4V0QPGL72Xx63mQBJTOwLzYe6EDysY+1EqxGiGunC61DFaEzfvuNvYN4rXs26bnDZ0eLcBtoCcM3SyeELwR5G0pm2YMG0yyiVwn7YeegSmo26is7qMxvAtTJhlxLloQzj+pfuKbsTnvvn5npSuzgT2o0y59hKuomAsfGwPWbK0/ugf02fkYSr5XrTq9s8EMu3ba1+qWJwe5rcssGprRzA6mnEw7APKJjPvcJekoiqXQ+7ZSJNJr/jbTTYmeIIZiEhLY2VM4qq2S1GOGG64znPqmaWhmKO48dE5pb4F87P/xtI+cBruLR9zVk9WnUp/y8u6/NMqUKkm/R1nuQLRYuK3PI3SEspwkpBILuk+hitYB2bLBa2I6daeLcsxU+OGDAr76czbZ5OHSuN38SSZzxTGbC4xYirohk29y2hda9gK2jtfQwu5SQZsY74iWNhBcvw9qE0RDERiB2v5oizpSPbmM6MWg+74YxaG5lC+fNu8gZkztflBAH0+Y2sYqbdhrt4nK/udgpiCUXlh3XiNxxSNoDV6823FYOFVYwA+nxaGnmILBj/xD3qWnuOoUwoGROYr5S/6+d/TnNRfJB2ESfmRoHc9l9Ehxc2gZRud8EUre8NEK6PjQn2bvVYkawCMLrnORbdJl/bYNOZcZ2g2nxygq015ex8/7rZ3xZg5/26htUf1A577QV2GrR1MzKgBr4ey9+/PuIxqINF87hjZSB2Bdp6fwx5jZmNv87utJtTX+TLbM/3Kf3ZJwjIS4oa09R0zGR/OFqLxTK8qqJtqAWFVf1QYH2+0TUWeQWfl0adrZHYVZCgV+hCljSdZifA8g6sTQ1oBe7kum+PWNvAQiCrTBfJ8v4yaM1GA234nOF6tT5/4fj5F0FL7qhKnIhRekQyacprJbPVVbzzVqdsQJoZfz1mTWFx+W622tJysP6q7zetzpNz+Ofuc9zMN/gsHzaPCYdaC2l9qgyPNZr9MXYDeKqL5un50HQmiv1COoIgR3I7CbLm6/zn0k9qijnwijzEY7dVlGHKMprEebyVznk0P+slp786QX8GQYXeHPGcCd5sQlgwhS/mQeSEB7flUChgg0oEJ4yzdudQRLzQ8aKR3ioP0SvHspuC0bN8uizVuN4O0cNSAjb7Ki6PcPV5CIYOtCppDA7E9i3R6o3t7PDHzIx1l2xx8LmtEys0F/Re2qOvX392XA9Fo6Tme1ZXtlDWNaFlixtqIv8gAX1xyUmoavMz4WKg1SKHdRG3yPTd9zA/nlWvabWyS7F4jJkODDFoErwyVmUjxCq+mTBiuohBYvw5ckstNby/IcdzNXRsI1M8GzIBch3ZzqupEP9MUC7sRmLxU+DZgJBI6fzf2cv5VnmjgUR+cSzN4RUKT+Uym0GPywoLEIWEbcyEVbxZAHWbB58SowQ/31nDVB7UbDpWjzfell1NgjPx45owJ7WT7jg7jjAe7+biSEnuUuXLVrxRPIvTe30xQLjI/TRPOuoqd66hN1l+4K5AK7oG+dlC/uCbjxN+hqwnWdwDIzA12zyMohWVsqhKd3bYshlpLjG776tlpzV/FjCXHOzI+N2qr1LEqqPg4w9zIZG5ceMlXlOh3Pv4LW/3T3RolMGSj7PBXbbJDk/sscuMMvoJfOidtrK/yO5+btIOO4zrSN2TBksplleN8gVA29b6g49P91x/o0LhQGaloOWrZ2MHpV1B81agvK5nG03RZCUtbigHR6avOre1okyOUiOgXv7edf7Pu86HH7FuV7rX09W+FLf3MY0l20gTRqTzXXg3v15fhCn9uVzvHgw4dTht/bCFH+XbD703yN/SjUeJCNOm593xxc06xWri9gNmGjgvVoRxgsGir1/bMponNsGDIQHkzc7kmFlXaD5FPzIfG3Th+M9VjbrCWgX1tb1U7mqToXaI/TyfG0RGf4LRSDr1FD1lTvasfEWxrWEtVFFt2eNmr7KRVOk86h4QnchKcXjP8AXazMidx51quFV+ZxZkcgLLjIBehvDB3a/qqLGwxLVBFQaL+a4vP66ay/Vz54RR0FgMt9wzUGyXFINocT4p9t4o7D/FNJzYRKMU2FbJ2XwvzxsQRWtLr6x/f4IVCCjSuqDwoxmrQP+js9yVe0V6MV2+j+Tn5sg6nif9qT84Xk6mvR29RQ8atH7H27JZjxPbNmC9LYC5FE32Bjb1eudXSbQNEzG4C7bh38p9ebD6blDkjL71jkFGT/D3yQ8aTwMvRBhchM+IDqzxVBBxvHyuI1bYrMfHFzRDvB5yXa2N4kqz+KM93ls0ducROM7pV0rkBbTWtBRbVbJ5Qdn1S35x1oPVkPguM0pH5D5viU39q6Q8MTPl13BtNMbskZrEKCuEjnyXLPrhw92yFS/rMZVBg3BW7FKK4ScCX5cYIR9ILkIw27GUgF2IKBAUOvZwVEuuJKSpx2DYVySseVDbsnDWOs659zqSVqp2BFDk7lYaftSTuEmR3IaxtXxZ431qJWTo8KD5lTriOGqIVX1ncbEAgckQoZ+CaJKd7JBtezNhYLrB47xCg4eh60MfCuKYIH8iORn3PFvtyj/L9Lx8x0XmONDj9sVxS5y/LaycLOr5KFLrYyTGvMwuEMfn8UR3QrfwRy+ZYOO5wo3nLuZm8GMXnqjrsMbrKYBMt5giEMlVuY90b4zdhy78cTe/NVslOzMetoSCkvs6JKZeTVIo1Efo4ymoDbcomt1L/THThXk4BliJcxOGaC6GjbGJUQ7mDsXVgX469p4eYp+IwthwBk3+MN7xmUHyHlSZiwXBjir93g9Rr2HrLsVksnK4PNaQDBbbN5WyX+7WAp3kXpTNqgaMKALFhPaxQrP4i/Qea942+jajPiIjQUWIhczAuqvpejKJG37nVWEuLIGeeMs3L1TDcvdqK9Bv5HXdcYvmF2Sy9ylGSnPtVtPyGyfQPWq8l8/mZ0GccQBYbLw+HslF8VoBB0HnOF03SzMBX7js2snrr8NzPr5DysnozqhfFneYxh46/OmNgdc7haMKkHi9TJp6Tuetecgo1C/7qYAw1vFMbDo94ndswUHQDiA7eejYjUfEhCfx9Ykiw14NLIPWr3Pbex0xVoj41t+CusV4rPQA6woKiZVnAe0lKYutzPkZtHbjck6/DQGaQEXoz2a9kdu4+NBupJk80uhBMwi8gRO3CuYn5YxyRT2nBx/fC5I4/5skN3u4Qm90NmgwkhtaK21eAgUF9FerpbnzXNtiDUsUC6BQGpsYmWOg+qWpYmqtv5Fi3FDvG+RiZ0pUcTT65OHzo+YneoY8r6cuPC/CzDHZ36Gt5+RFGfxHVWGWp2Jhp1dB112J7solvCL9MmvH0EzxywUfDNTqdZaJK1Po+dPYWqpgaBm2w33WMmxbrohFvo4rs1r1kVs2A8xm1dfJrygyeHMUG5wCUTvVTh7yUXd9ZTPdfPWl9o2+i653cUmDruHOdXZo70ygydtoKLeCAu/2c3z+Ye5feBeTRD83dy+cI7Dbw7Q3UuUApoTK+8LSCmXkrUy0Ef5+8n82FE5M0rR6Bd17Yo17tlI5Qy+DXu1DnuhcAXhyEke5FdakzQin00+0tZLg2g2VHY503YqCccZTx1ozJw4lFJDQOfPZe++KjuIUPFpIjOcGQRrC/L7OJnux4nDK03DKXnmGktESWDblbDPy3YJ0f32rTgDfZu8wV41M+1tzEupPfdszazJpnRr53zQQQR4re3olHrtso0ZtI+RwEUAfgmoWrcjUC68Gy6pyLBp/h4TWqHU70VeXFpwJIk4tKJajT8IRKLBYiqgpSE0p4dSWv5S03CXuTR+YayhmITpD8tWL42GrGJW+ncGt8b6vVwkSU36+RgtgIAFJECs7xVSz6sHn1l89ONrM3jNafSXYyJ1ZRPY+3Q+5vNKZIhuVmYvstmybrWrG59pZKj4sgA5cyqjZAGNYj7VO2WkbvGtrrHoB1xlKe7C6K5O87m+vbfS64cU/Vby9aqNS0Lr8LlnpdEYcNekqCAZ20NKnariUumQm5YayeEs1IdTyD6Eh8uXMC5XES+R9JViugZAN+EtiW6eQDZfxoSkdK6ybNOpvL0alQboksDN+N6h2+XVyhHmeauEMpWQQC4PnmvS5fDOWBfq2YZsySj3k26lQpFMO25b0bvPEKyrztf64ZzYGM0/t5LVIzzgDD/3PrTnW0FH1G0SCiINahhKRG4lmhFrJ3eQHj9sirBWnPRMnByaU6B+7Z8ks9CrdUJGalyf1vObW5oMLcKtqFqHjklYPZ+FcthDDWpdo2aAHellikv4RNuMvw8j84tr92SztOokMDYHZEAxcHZMfeRGbegaqMLFqsrJbYSz7RRgfYQ+vyJn+p5SrDDpx31SVgLgnp1AYnqQqvcngjfs2DI1fsAh5kDrRuZmH7U4d+xsmeO4n5hFYIjAszY7cxG0VI6XcJKbbMLo0N03NPa9laF6GO+GWGvljPYeLr9RkLahcxYNHcLRQ9Cran8iKgKZ9GlM4MgeMrbl4M2gvtUcTB08mNPgViqMr257ByRqsIX7Df9SB6YU3TxYPgHaUZpBvqxAiOo6o+U8svL6Qw+EiCQnUDmjNnY2qS9ciTDyp+uEax5WkxNJNWYkKzj3Ngf78tEocZRfI2maITLclX8BqRWzmxS0cLnJkNueHy1HXe5dvJZmLum67cCoEHGTj3tdNIAzVlvJU6DNEKl3jLS6Sfsc6NS8Z8OIfmlsT9jMfrkNPPuoL2Qfy+TrEjIMV3sDCtKF6ZzqiDhPJVj6VHFqVY9NEbIbngfLgYFKJe49OPRwP4BxHSKE2g9a6739tS4QODNyGKRR5ERQ63wgAGj3VDvuce95JhIVfXLURNlnoYKRIHqqOE7Wb6VYH3Xufp5YSYSXPVhWxZs6T2qcO5FiicNzE+B2HofFf0tSdKOi9Gg4RIr5ljGQqrmlHAvT8QNPVKqbtF7DIDVo1fYJDE7qSJG1d8pTVUmv6ENA39Lrt86aY10sJxzL7/Fmvabi8FfyrgZaLts+X6s2Jzn9IaYOAo/yGGgFIm59drtMNuGuQYvzt21GnVJDqDM8mLzmEqUdvfKZSIthS0h6UzMT5a+st00beJMfmemR8JkZGznMjeSyw0m74dTAsnR9EIKxk70HsD16XQb+lac5yeUyzL98rzwNMmX1utvyFXZogKhivzXrw8J466bFvChNlVfBiPlfegRw78XomhimXOTwpMRL2kBxWVRxaITCakQhQfPfRj9d38pD78xfj6N1NKDZCj4JjhDuECkkvIDkvdKcz5YJny+68Mg5+BhNmfsoMEWWRxk42TGbTW3p8HxLHsxckKGAw/P10nRx1GV/1CfP2jvJ5J9AtHo4PJJ4Y6xe/012nkxnlZJr+CO6hkFENJ4W/6HcoLaTAt0xFUstDTYIRfYU8tk/QGg2izjsXsU3LTW5E8a9IUT7F/olV9gpEOZ/iMryW70861o6PKE7ayZqTq8FohJuaVlFnO4Zob8a5tIfKmWaNqTWOBktMXHvkS1sEfVQKTeTq0oK2I76b4NONvHLTf4sRue2m8MJsURiC8UrF9vU4o/81+AuP8gnxeYlDPWGkUWSrmhFHkDbQEzlWPmGtQm2Nb2M+0i/W2jMa7utrdJAM5UXenjRLiXhVjQk717o2KpVzcIyaeZt0Qw/kYLbeAwp7i+/KrzlEk2GkuhKnw4QX+siMFHX+LOv/Lg9EB7HsMxnbUVoMmQ3zqLzpLNbHufK+7tFcEuIcvbFQnh/ELz7DFjlw5WpiXGNpR1r8PcWy1oVqqy0eWjVRPl3PV/e5b8iXf+30SqjaDJHu6+FqDWV8izuhVva/t+m51PniCPv4dXgtO/bfoXrXNwoAq2AZf3h/8KNJ0altNImTrbZpqX0sSQ37BzkLlizRc0h7pUx/d6Jmv0o1YM55/EfXgdTd1Zjn8bYD2Y6bhVSnPDEfTa9sWozjyNs8yVuvkgS+fLXfst91SBQuiy5pFM0dMcbGlucVDBnoKP8+kfkNAxXlhagud7tfozrBSHxS4RGWmd+9usOwQpSFvsiD1himl5ayqYCJzwP/0JTaJr51mSUra5waL8KRt/FZLUgt+iV/e1iVNJU0/h+HILGY1V0nkTpGePVe40Mg1HSzdwn73Zj2/grpGaq82lUzBiGFbKBHDszz23lejryRfc84nZGmKmjV6m2V1bOiN2G5av4ISulKiz1z/136uel3py2IxWtPwxXadEB+4ZAZrHroPMqvLJiaBLKdZCnu/fRGb2zj1LkGEcLl0G+MCXKipEkeuQpE7McaKdA1XrlpRLvvd9DH9DlnPZnWAWQRDY1sUh+w2O9k5ZdcZsLz28/RSgrDEZ0KVCqPUhCLEhjR2uXFyB68qDO6d5sRaRtjaTc5QaoIZPIsHYb+mp8T0sY5yYF9tO/+i8R3P+ATvjh+Zu3ZV67y1Z1tJ9Hy/VFk8eW9ZG9EcdzIFO339+D4eRVpSmeeKRry7jBVdU1v6I6d0J4INwqqEyzr3igjeHriaiJ2bjMv8VRJ0AuiGbYtAI9Q/Wui9jYlv0QA8yB13KQ5N5cKfvrexO4rjPPYbIVSPVd94c/sn0trNmm0tSZ2+j4nLNdwo/vLmSKMpY2EUiKo+oHNX73YKz7ai4aZ+a/1Lm4nQ6zopnA0J9WX1bh4SP7L+l6cuNRlezj2ivi0DsN/8PQhRtOWHpdwkwl06Qg7WMl54H+AT8hl5Hb5QaatJlvdfwgvbIyZ22xhm9WuZpNrva37d5UBIGzwt5kXPk0fM0GVmLRxfUtSgG0OMWIkHlTbRnBicyHRqkUZkPu13aIlFMzdCcBHrMiWT0N/5Iuv09aurynlaaamgtmeYXHQWY7iEAa/XeTw484JNxMQ89kXeFimq6rVQSDN1G0nnNTDLcseJtr/nT71tRKT5sbIm0nqTfs5wXW4QyT12vPvTbhhqT/23yfu0zjXY9VVueizXLZt4R9/ZmppwJ18ATHBG8VYN9jALzWzf7utek9PyrGWC5iV9BPXSkzv67xrOXgA/+qaPxubI7msH0Kkb6kcrBhhZsdj+0jJjd15Iiju4Zsfkhbivzfs9p8bu2OVJCbgjN8xTUrsrEhq2VeEMVeR4ykj1Lg72ZuL8zFgsTjPKAH4Cxfc8cLG57NoyVTutQ7PeO5gIMvFmKmbqiogv5ThxylA/o6wSxb5wNJigCX9hFXWRSM3I+H5CiMA1ZDewAqwa9sWzmTnrrehYfBkjJYdPnscEnEeFDhvb1FJWDqnm3uK6pHkY3nxKp8FLFWk6fLsVfVkFvx1/i/E5Gwr8iNgg7lH8pCQsp9ZoofQYRPX0GM9h8Y3SPGicQx6mxODdSVzPqG3SYZrsmMzMYf0U+JkcCqOXBOrH6JeJM4G88kW7kpLYMT4X2Osup2z+6Wj3YUsTluoKy0FF5OtY+5nQWKIRU5L3iz4X5A2TOb4OLyonSsJ/X9gyt73SvMazci43oRzelKtOXG/8cYTC8EGzgKzFMbFWEuXVs34wx04DCo+4NHLowVCRdgNtClvJugyTmGKRd/d44ne5QxIccF9U0mJB2dfzHWEbc12Em/ijmFxwJ80MsOeDe6uEoE1euBYUdqKh0GvJ9GVy7zidmZbJvfDfdp4Bxb75YcemYWIBQzAaPR2YxiGCekLVrIF6iylpaW1cBoy4MW23FbfyIv335Yls8ZX+4sj8dGEbyp8yhXeS0XtQt7Z2ETq3M9q5qQjtp9m7X0a/ptKh2LQK4WWsmudugv0wsiDFmAW0b2pp1kqcjrYI5xkvDDDPK3KypH27cQNHcE+1emCGauq+fqkMjR3PZITqWVj+kgXPAMGfgLBvpx/IWl+0x15+NirdsVAiUu2DEqZdCxKCTWGY8OEuLFjdpD/ufPZLYI8JV62WyPXMd9a+z1+SVEVNfLltrG3p7dt25ajyhnEmImSlmUH+5xONGF/0r7FnQn45FPHxhC8onvUPWEZFQB9FE3GgGzMgSnF8WeZ+cW+rL/Cev3FJ8LgYHnT+K2y4YmzYI2pTtP/0biXluW5GDwYvWhyleY5WbcaNIfy9cAKjViEHjTPyitl0XFPXBEly0URSs0FOScWVVDEfCr8LKKiTpISupPeN91GCxfoxyab/8BKmEuOnJYvfDbpf2d6MZBDZdKDW0Dk0Q7mLA1Qz62yShexDkGjWvgoTJPBfy9edSyH4VBjb2JdZwXPEnaqd71uu3ZVzK10UDKL6WopRMP1KxwBmzeU+395m6rgu343+jGib6N4IcDqTcOZsHc0Oq5Lwxrzwx9/zVx383moJMF7ep56Xnz4BlT7PiSn8DB61F9p4VaAFlXs6X2RsNs1WIty9m8MgjhA9UbkTVcOaHtl2LMdQM+V5M/DuXeWCZ+Exyz0Us9sGjyxqBs32x5e4eNe0tJK1DUdbsya++9l61lSfzgiMEn/GAZmWNw1NZFQ/4bKA/YNSZMbMhgNvvX31Y6+z2RK8Tcdg8yb38ewNxgluvpZxef/I4zhKHWYXIcT/ejpL4qGLb1BiuVogzB2/fD8Dy81cAmD5AV3nTeE8Da94KCFDdznkWh+29PXdjg7X1Yv7WChEjkZH6nHu94mjvP11tY0OajiZWs5X7fYYKXHBY9sXmcZvTT5Gjcv7X34/j5LURB6ccRi06z6ZfAP3JShCl/197PvfAP1+R17mJTCRsfHWu5KaYK4YLXNv6L1FJBZiQ6TX1eQV7+PysTukRZVfEvF+hPLr3bxA6Q0VSpKefg4OufiSZDNABlQ0yNx68xvxe13XhPgP3CyFmgTriGKoDQpQbAc8y56t5ZfzzAOfvclGcXU8f4ZTxZU0w8idN8dtYR6tlbeyNfd1FbICiVe/MzIb9WezXTnXALn5Swb3R0RnTVaeuIC2FuqBCP8O4piQzCgHi4A2wVftXjEYjqfnkV1qwT1Er+R3WkQqOR3zYj+ossRV/myCJqkb48+0G1bzV2Bh0vppjDVEO/aazXTm/YlU88vmzzc7OiaJR849H/EcM/QL426P1ajWYe5R0hsLZIeT7FCZt+oD4bjfhrx41jow22jlqKwUJRtKQDsFf5BRx1PXzZePoWPXRl2JBzBhziaEV4MObkp5kZkrngtDkDlmTHyFTmi9AJUDdnC64JwA4BtIw5CG0XHEHdGHztRFzCBu64wSfcvp2g703+9qOZNsZRNR+4zP/ROPoYWEpG76yCJ9aBbqzMnnXJR6wnvIxC4tAE7iPeEnZKuuM857EnJxa27ifIFKZGc4WVBjDdn70QSv/tPvjCabTL4rnjHNxeI5Gz4JfZKYeyV38mdiDpzrR4nbHAmkSG+NnYkdTM0+Qj4jWnC4SateBaGtuFQQl5mIlhD681wE/x4Vre4BMdhlvkXVqjQqovCu8lTs1PN9hX/Iua0Uqju/m8bRiOQfKnAlIUX0vKUt1PmuYrSvBwtZpH03q8SOjPgn8vGoLIcq9fsyGsMRjTd7JNE6lvE4tw3jt5tX23oW6IO4UAnJpgiCcTFxexMGCq+ZxfTJQYSZ44HbdzXzawulNcGU5rvB5lrvNfpZo6OZFGQEFBr6u1+JNVhjEIzlpsgkjexHkR3DIP0I8Yzq0R9TDf/uflMUGQq18mn8TGjOrofwWCbfhajRSIYq2v0FRbrmCcjorKneYYbM3yR26co2uqhLSmwjYa4/gdCaQ0uI0XCwgV+6+mO5L+mIJTPO4BbJ1nEerKDoWI/IBzdorE5HiX3ul21M9FA337dvqjdZGCctGBa99VKXYgi979YHYoJb834NOhKGrvp0pjF8idlzHdj/QloXUlvoKfFRB4sACzW7At12vphAZnLJImH86vk3dlwRb/lPUesRqNzJN2Nb13alTSu3XeErcg2/gBEugtwpfrBfn/XteCXMIeW/ds2OVVRURZUgYEnqtQ/O3KvhQAtrqMwQcGweQO9SYh0m6aVsmc38NgHbXFqJ2TOCqzz7LqCkEQFuyjK7P9epfBKBePwYYWHAGr9UpU1MHYdR/tOilJtJ4SchPyuU8zdibORJ6m9w89/BVc+4m3ckpxsHDn9OttGIkDnP+gr8gPBzptLpitHfoAZMB5y4KSHt76vY0u3uJHmmXsJ0svN6t1/gPCeAJDz4qxqX++pIxGsimx6KxsSM+HKbHcZnS0b09cpufuygCowzNM+MOzezMbXf8+/osmiqhku84LvsUD5dx3V+DCSEKzAN9UyfAp59294rfm+zRBndUUCLmW9RlUdas93ANoUJcmvBmK61xaha2DsYGE38apnFeqt2QO0YQtuEzEUqxI8qpYyp+sxKJ9P3VReuZLkkMUA9ntsbJ+V4hMJnB0nHIPnrWytmtYjIS78zlI7mrEFo12VPatxyPA96OyjLI2TR8/KRzlxgbmIW1wZFzGvrC6Uoi7Ejr3cMCUNLJlkfCidDa195Mg0Ndiax0CjxkxZz17ikknceoZjKZbi7vxcQorXxTgZZuQy10dJso7zd1mNDn3SchD0DBaHNrLgRUIWUGHh36hNcreutsx2evqyiCxt/12KnUizPt+CxZj1mkPAuYIj+vXYLHqVj7Vu75y/f8pC1ZZzfXskns1+x2mBp2eve1mTVfisvXW892zIn97tV7pZ2xjHrd1LI2k++3kSz/DXUtrP4qRb3XfPS9/rMkqmsz4UniaLPaqPFBHvc+inELqGGaLwHT6LMlz+7fv5ouSMmHjHGVg8neKAJzPdFQf35bYtAyKi73kChlRVxFa2rOtmF29Ve5o2umxwRab4GD81+1NbdaiyVWypvbR+4Gw86jevDQtQwf6Mr1d7G8/Ys+6vk22CfpPDI+L0c3Y8vk79luf5IVPXerCBqw/GlBKdTbKoT7EJlxlHBEnWPi361sLYinyItqCjUND3T3yNcG6KJzGXWsszJocrsQDf44SP5hecGZo9Brgiu7rRulbjVcKA6NVztpyIVP91Rk1U2x+ezhEArMigEtUH33cCYqC1Zj2SGItkTnYnLohzDt/VU+m3wg5G3/r+f2ypEf73JxEKZCl+Iz9hfVpntuxDz4cgxcAqNpE8bqNa7zbL7pH2VsnQePMm4XYTrLFyGWV26rdxCE+Twxj3qNZdPsjzmyG+RXPZE1RnGMy6foR3ijULXts8baFC5NISnZkNQehKMYgIGssUG8LDvn72oD35D5d7RnZTu1OtxjpdVI1EaP3QAHJALvwmlY/o+nfhG+l12iBNrvRZbvg9XZkG0eE7am/3s7300GV7hsSuUDl/DRKApMJxeX6v4lxSga0BhkGzafrypXwqIzBwPPs/R7rgw1KXWlMXueMveJ8bff8Yuqz0BQ3BrkVIC4o9CHP/I7LeXaCvmENvYcbf81hha9j6mHmfskyt9w0eS1S8KanfrMBb8zDrU3+NdnG4xpgKPI06wSIqOg/2eSThUYljNvhnrzz1eNpi2qHYWqXO4nC+ApzaNTGWL2ziT4mHLM1WkhRcdCmxb9M5j7OBfk1oX3/UiiH6xo0bki5rWk7LZFEjDCP4hSj5yYT/fn4UXAdCYUOCNqSFVGLkvxqfSRCRQOncUNwm4LB6+D+QK5Z1S3wzC68OV/3qVFMTvp7MqyGPjSBoUUGFlIPYVVlnCP6gkaPLSefGSJtpQiQo5H92Ph3cj1JuIPpV10gkKefnK9PA7/JyunSosGYl8wwTJS1Vx0LFlvxBzbwuKOMx2Mfld+t5xzbbOsSGl4A+t2fVWOpyYM7q1mT2nVy5Q7ibCrK1RXXgez5CDda9HiVY6gbEhvbM2GicLn+8y1YWorpegZy9y6zpg9jqeCVHG1fhz8avECyAs2roukfop5JLTZ7mp3T83EHAsUsjlsulUgFLDr4N7y265/FrI6sBNPVZaOqWeezPEV1zBytXYkI1sX44dhpz/ygbxfkqIlMvvSB6oxVPYInZEkYmJ5eEurkD5LjGQq4Acv2LF3NLk2Pum93AuKYjKuPPrgHj1234LjgJTS3W/8+VX8FFyFrhKQcRjqmOYqzc0/dSq7CWkOgQfRhNPmxaFXsIV/Oz0bUgeq8eALrpr+Sid/cF1ZZ7qsMU/rPpO+TfT52S7twuYWe2fyP1z5tL1nfXMpTGQwyn17Q+hIN+i2aXvxlVGeSR3mO/w/eeEGE+yAqBYX1d56hjJmLcoYYm+AJUeFmvv0TnJaRakLejMjNBG2+0WfyR5gY8ryLgSf97KA/0sMlgLa1Sk3epT3FWDP4L+LQ8LRv/oedMBnccS0/2LLMsb4qSsqUUSl2ZO4WsqIxjmmqssOEeXiJeUhUYCKPzG1C1JHyXHv21Md498JCMixF7uf5nsST6TvR6qPB4JXmzELgCp1pXUR2KCX2asyGl2iRlAv70fBILppLgPNT2XdxpwfOBtUZtsuaEc6rpOLoT48HQcT77/NGlatwKcgGmhE3vZoQi87z+eSL2kIPKwk+H2otp8uZpjxFWmk2bh3irz/pJnUzcCk/r6xwv7gaHq1jFjg2d6NfLPYa8x7ufQ715+Vl1pU2IuENp2w8PLzR1pxUhUfYcK33jxvj/Vl0MmDz824pknY/IBj08MF2MVZU+2cwiclLAbP887ecrajyxj+yV+Eu11hDA6VYwnvGXEd8NY2J+WpOimnb9dqxaQVomsbr81UnGTwLe1+faNf/Yri+xK9i70AstvWrxhVdkZLn8fJN3ubuYfV1NlifNyDYJbtc4/m8aSMwAJ7T4iyCcwU6KvOWnCp5CSYqCmrn5Rxzh8PfwALietUxReXHon5SUOJaWle8NqlCrSXed4FJ7YTOjmXzuMSrypGd3QMuYPU/Ah6R0ygma0Z09Ua77I5+cl861ziwthn4HOQXmzcQK2n1dSzzjZqkL3XJNWDj8y6KPUC/QS4aTdfeY6mqVRkdcm4U3Arj2Wu1w38Ro7hJbK1/qFLh6dnbzQwrmuCO/jIChM5ulavU6dC48zRF7EbX4i7/FRq5kP82LC+9R66pX+MDuNM8oXJmTmU5EBb0wYu2F9yzpdlWSCycjsq6Ev4O6LON2rMoed6aET/WDqwggmC1HQPPi7OydK4dszl49MsXWEqcDdCAKWLsrm9MHRt88CkySPEwPC08mciUkP2Izg0OXv3hk6MCGJV0cH88gYIcc6OQCLKLUUkE7bFlM+GJg6VdsM2Ch1DGPL3Y1ZZdJ02HMkF3vtL/8kwuZVL9/jfqfpSJSu9/UCq0FvKXM4we6YHh4J7VvTIaPXJVSK9WAKcnKHJwOwW6ZTqrBSkjz39zwVXiPh96k3+YdfVFtZbafc+jLD7I4+9PR4AmqvRTZkVkVhxfUC2D7kVR/LsJ9i+mG8NSLxpIhHddaAv/CcayGDpjZZrHJgaYCXng9EaNNn/BRLa7SM43Y7qnUvTjcROu6pjUk+zFE6el2MHLeglg/lvwdQerZa1JTrzY/sfWDSlXQ0nydKkItDyGnye5YLDqbaEnhpT9XzXQ+xGAk+sp+7iCQm0Jp8ssHEfYzKpJOy18Px7asiPR3siAbkkGAkYc/oFhgf9iaEj9+k4Of3smg4Zerjo/jYQvsv8k/6e+z2GbETXcvMj0mNAhz7nSBfijtVqgg/JwK9I5MMDa/7HX8krxZTNARpTXnacEJhwSfkTomUNAkvCeAjK6F19aB+MfL0tUz/1jV9Q+/1BUBGr66NdwTj39fmL8xar5rs1wVNjABnJZlLW01Ghr4UJ7XWnDQUbEoOf3WFnTASAH2ifOqsgfsm06RChUCvG6BhKKgbERtr2EwYsJyLbl+AQdxmfxUW6p+TL7AW8K2Yxm9dciEoNqk6ONeJ7wfcFcWhtAUwfdXld4Y6NUG5W++5oAlNjkLmRbYJ5Uick/fZJbFxnsWyUPNgo4JIL9J5sn/KAZx3K1niAsAoux7TcWCyXikQQ/HXIHcM2VnAfRfBMOwS/9kgLr2CzQLmz9vVWn+tWescvdRvgjm1Tmw0zTSLrMnsDGIaIaT0HeOU0+yx0yhAuOcOel/lMJsUURldtWkGkg8FgTtpTPoSiORe+6aWcEbJfB80GwgKXlZ323/R50YTX2485F4uDpBtrluIToYmQdQQblhVi5XdOEh2FZgCsZHA3rupC64CcKOfcaetZ2uATsa+B5gYf7HCUxZy05VnMmH7NiyqKJngfbXx3bMKbOapd720koFw36yCqUADgutk+oAD2qmoURo7s58WGD909+q9aV+MamEj5VB0wB4IjxJ+vzM7984XetnYC0xBGgnThtD8qYK/bRg0jR5Yyv2ZikVwsKvc7cWgUPF5v/l74k+Ww2/ipUcYfSvrgmfS2XOJdeFdj0qaCnrEi2DJt+zpZD4IevXYsFUhuw0pwTMYtcTBLAVslW7YKZv6ka0r3ifUuIvS1DrfbqGHbXZdSwLbcc7XEdBTMLcDqHAF1LR+1Lsn31csf3ynHfiVh83CS1ao/tn7bPifdpTL5TIt+ENKw5JSswtzDis2FlwW+BUB8b8IM6j82JRpuudeI0UQ88XQhkO9qWVM/9YTaKJ2QrBgkhK5i64JGFSnc8hebPHmKo5KZwJQTqcR9+229RFRWZTXOlyouKAxBlGVvNz3C+H1E5CsmHCkWnnORvvRh9Kgv3EpCpmrxW+CKu/8MHV/WC+zWOuiiCfxnIuJPs8DeBGbvEXZYcFXPNUdv25XlSaM2/Fbnq4/w6feSWix99XvoBtsrBLgxbYNf9wqgvzYnDYsjYalg4cUhyTaGSLUc434KOY15wGPZZaAsLXablkaP9L1VztQQacgDW8R5eJXBovziPkxbeTxtpdO9BGw++MCEg2ScL8Ogh2zC73KptcdfDCGwjA6iNcCL/I07vsziu9ccN05ewRgcGN+NGpbHSib1dA1cA8JnVCRXvbfU0LtOsdhMwpyytnIbQntnWzV/47D6nIkMAYM42J0YFnh8TUypyIktK2jvjdUD2ELJXF/LSPcd95EMXR2c+RKgcrBbcd5Az3Tn4ya7aqteZqqFvVGAAdvfES0pPZ1NZcGZjj7pcBByrYLz0iOxvQ1DLNdUhxfp8t7dC0haJr3t2OESuNzha++oaZFpsgs6s1c+UnAmkT3RPiIHSMsIfZStBV6OLkKYFmGfvFmhnbru8wJ2+emculD+GxPhdyHGYph5e+qffgTE1ORiHC48qA74Uy7MvdE04+0YTiD30CVr8C5tMrNJIrYF75Ta6Kmi6uA1L0WtTZS0LdlLNpqvj/6C0mH4PM3PzngVA61LtN2fAS5YkWSP+4d642ZRF8eUKU5wR4bkMjC2x0zg7Iy5Z4rQaUIHmqjwY1+X5ybKC+wxunO865XaLC2rZ6WYzr92hL09oD4h1FT2nQo7B7DNHOc2GXu8Fecn19Kr0rn+NJfHotHreVoFIfRbS2qgTvmfxZHUXdPquyLh9Jw44Rctfq59e6vvUQjNIPbvKgbZo/BlyCZgELvkCCC0jSU10aEUjg33xWy9xIc9o56kc8bfu951H9+6+HPJ4jEv/DhTvK3p3SmTzs1t+6pAucAGfCtoWGGHbgcfokurQCL/lDvbfislNcV+GfGM4/F85hF+BBx2HT+qxcDLmdRhpqK2aWfW2Jninje9iQdJpJZezAMhdzrmevO8qkmvQt9w3WVyVBEIv0ioKYOprY2/cisPRgLuki92x4wkDrxHPpDehQn2S87n43lYkC8qbQeIexxwrkNh9Bl87oIyp4glKfp3cZlo0eFJV9gN8h9hmF06dOW73JEE6twQPYbybHWcReW0VInPeTQK8frcuyDuc/0SigVaQZYzlku1ha3nCqBhZx7KO9Wzky5rTV32dP1NQK0tt1MtdtrsgF+nN5ZM8mH8xg6qPXxhb1e9iymiqciBakX0XbiSSzORB9UUref3UdUZ+lNWZsWOI6FZfpEB7gkK+yncph0R/NzAtyKpueKuhJx9GM7AX3TyCSw6MCXjohblJsNzWf7tCwfyDmpY6SXUUojvpIs6MafAeA6A7NmnKX7+elKG3yWxxdbMFw2uUTYvNOnprZlQyKTOPvPrmENtl/xyG1Ljd2wnlGhWkfL9TteaKCbqvO+OGw49hziXEvw2VQ/MJgI56wMoAz4vW0/CzTvhOL8eeXHTg9bFVitg9jJ38Y8GgoL67+5KKzO7fzaVT54L6K5Vz/TNalRRWi/lZ+Zm+I4aO53ZUxg5FJlO2lLyG91FGYj9ZqK634U5LD8ugxUhw4kL0rEtj02+4x4U/XI083VDwzMZFahVWvniO3ZPz+j10kwtudmRvmZu8/aVtL021osSYMLYJXBJyV7n/3RcCP28aDOKH4OjagbBszV90xHtwGu0fFxcn08lCQXh1DNEuXeNP0WtjJxUDUx2mXgTrr/YDvV4rJ4cwlXjsvALZLE/9XFdPp+slsZA5BfhcKpU/XdYL+WR6GLXqD9zcvU6u3QwHrGuW9BUpQFd4oHZZPGQyHgcLm039Xf28xrcnNGGXvBKLgwoPcEsEi2wfsc8xYgxOvLaRLEjEJ/v1hgC+Ny/lu6mostycDxrFWrZjubHqUhO3K3vvK064M8+RNkrjPFeXdFM/JK7cLdHVFf2rbyjPAfxzcBipbsEvqaJxpaZq5rI7udmaY/zNVQek8I3tQxeUUuZt/vG1m72dJdfiuUU3jOs/h2gdCydhT440h6uDlRZuHCiSlz+kSFI/Hz55k2a+nVTElXznGp9UPleoqfU4tOY7+2XnepxOsdD1ojHGRcydtgBHCICMC+ZKazVesStfA9eTGOo/C8aqrJAoeRT1Rj06dD8nBhwKNOlD0+65MzSzmDtMJ7u5UgWFP/ftbL8K7UeKfrvqivpVDXAPeXZgebz7a9QbJMlk0Wpu3nP/S+s0uavLOOGm7OtKbfuZzDAz0Ps8ibda+vDAtc09kchHUbjwzaBmw4JQHV+HBH+gSSEqdtb4GNFJ/ixyIdxIjIKuI4DQPfiM2rCGszcU0g49zuTah8HRU7D5sNlfVX7Lbgt9fcQ4/c1YGJaJIDJwjdCq+QVOMZqwF7g+xGQ9xXeqyIoJenfSt4WSexkwrr57c5LlJ7s7okm9ppZ+aaFu2wDbA+LWj6NXX6wP+0Xu2XwcvEFdD9sQrWfz1ir8Ha6ohmXc8hXD+IxRIjFP3iZOo1o8d1VQnsJEv0DzlcykNuk0IncUHVu6Zz2csT/13Z8a+lFTznwpzAykwbGxofWdyZ7nfyzpdstAWKRnjHUB9qHUNInsV/Wd7gA5l8ARHhsCKzaiU6UV5ZdE68P82lKRxXE+70AS0owScTBSAGfKYQoNWHfiVeOcxhGt0vRa8yWWjdEbfIYB417Inujv69bgiGcrxQDYo4cx8Kmvl0HCrCKzosNCPlmrYI9ZTXMtUJlYQzZ/LZOCHpDct4SlA5ebk7GwbSXnKTy+gnXv0t05DVzFPQfnpNFpZQBU8m0vt50wm4EKcBSgtlj/mlS+eCZcWWvG2cGBoO8SBuZQU3ANzgmXJSykiQSPYxV0Vdr8cNGMss0OdOIc5T+aVn5vvnktDxfn3u1tDEEUnB1LnX+QEa72wS+F86emnpyYhby2E8g8LZroZK/f78B3OUc1tDQbA7C5oxt6Oj1GAzYyaeStNEk1aSH3wmmOAUjz/ZTFqiOhrdCqy8b3Rg8/GNt5mVYLGTfaZe+Z6F7RFUjoZ8FoKy2HhF6wExSZRmfrT+OfUm6E4andlRZ8jeRzDKiaLA9kvYJ1QcRbb9OJL3L8hx9+JtsffXJ3Q+72TH6N/inLb6E+2/Bu8uXCMk+lF1LSvozTEoiW/WtOOQUPqSl+JlSlDejwHDmIMlFgsj23XypJRQkJuSytsi0I/srMHKP9vRkdO7qUC9dVQU0dUYqVi4yQ5BcxTg24LbQyTLZKcduXX2FPBHSrE3Nl8de7RdLYxV3W/V9aQ73FFesVT96v+1iTI8xHuRg2536OTX5n2P3pR5cynmFEfLn/F8uwRx25r0N9dt4BYfIisj4hXSAlrG8Iwi43DgL4ad/v5nJzaoqnAduLpGYSdRYqpMMWBzKLvqmcUruUzilVSMQD0WJVpWQx/Ofq6Q3xHYjUMJBidWaYQE9NDDzA1hV5MvPufrzC31FYbvtYu6VWu97lTF9rPruLOOj49wx0MO9q0LRfI0u0QBR9zIpEHrn5+zt4+dyrk4Cq8tkZfcPFvFGnPdqstGQr463hWlr9oDdHM8uzPEDoUOibcGdI61fchh7qE4dI4Rc/iCrFB/RVNvON6vVGUwktQVZ04cjaDLy1P4LtFPOF7Vzgdq7Bz3quZ31Dg+7BsOADrpaCMoIz0+rUGNl/XF4cm3LYJdmOri93meZGNvz2PjOoOe/xzJ7VgjJlobcWgAE33hwEE6LKxycREUW7KTD2rtvXJM5m+zLpqCoQx7d9AtKg8mEehTeyZnKiTy8+RzV1o2XndFUGrxMR69MO++CrFs+GDGAa4W1bOySjMJ/5CP1W2/fqyPl1r1NHbe8yAdyTG2MxmPoz4bNQ1WtUobFM2k1F/7BKXxUjsiXmchZoywZW9up1MmMSpZ3xGYgITnx0BsFv59xk1ZbZJBOYuRx/1FW2L41oBc4RCpZ/pohTKYZJf/KBsdXdQd5tokfTEhVKgvx4v6JDTeqGHwt2ri8bs4lBXR5+MHiJcBuLiAE1Rd2+cF0+nr9ya08PQX+EFktaIVOnSjTLaD3QEG5V/7U4nLeliMPrPZA20lsK08CDx/oGmKXOwr6f+WROKOYVpKWk++/El45VmnsuaO3S3UUtqSriw3g54Q4YC34I8w6s9HIdyAFIvkWePil6J7KudKBtgYmEBQnYSJbFMgWkkod/P2cul0guHCHW7tQm/hRo1hkBUBoLgFaxjNJsqUZk6dEk3Q1rsW6ZfgHRMK2DpLJ116m39QFTUwQ0UASG2YTP7Gn0ohUTtIdYIHb7AstmIxQGcwIuEannqNnM9SzkbZU7aTcgcijva0GPqdS5BHfEteXKPPnHYdrcv0GFCxjc0cFscPKF1UfAdqS/N4rhOyPvJG2l1rS+atHvlqz3v8gLatbquvsSdLAal6cKxe1b2RWHRTUyy58qbzPXIxSHEz6KgLTqxRhdtCJZLOQ6r0Zm1WLBIGbXbbkr1oVnvFU5P7791DvqsqaSzQXPGVVINXXcgqnWKagfSiTbDYjgdbCgGIx0PjAaq9tnoXw5Zz0ioJMfEBnBcz1qMJ9QGa3pr8nN3oqF3Yq/Ztx1wxE+Wf1l7o9r5HP+FPNDtboj7I+cZEp+JUOlXPh7phxk+VxDC6Bxw//3UoBqPLcj2WRJTV912KdN6d+hXcYdBGjWHpkrw7V99P6OrY2TGFmx3ZRVOCELib50HhvXECbj7r8zKv9Qs/lLlNObuW2938wtj7IcuNGEkv4N6y19MP9fyIT/P6+o4/Jkoj96TlgEzOgrCQ3zmZDJVF2tc+eYJQVEg33d+hNvoguV/ChotOtNXoVXDaaAxUGszz71f+2+3d6ARfqktkVXOCF0IavjsCs2VnOUAy1n09z93kd60bc6DfE4ci5YR7w8BdqqILe7msHKxb5hHxl4ql/Pgi/PWLI+033SJB7UIQsuQHdH2f1Ik5G501W+J7MrCCMvYbWHTZpIpLvQrjyrH68XbsyPmDzlGNPYW5s02cV4uO0Ov7BVqfvuwC59Ok9JJfrWySfHW2FOLrf1VZRzZ1Gk1JP42KRYeM8lvqLW4FmIYZbLbFYraA5YobDnAUzvNBkOxa1/YrDhnJ2w2fJBfKCjIX3qk3ofOtwMlXwB3guA8Ejq/cPQ9mQoX7BOhXqjegMGN8JRTb/VvKtu0+gr+x78K3XZU+tWeDQ0p/ooKefq5JrLf7phqEVmFhzr3TfOQb55aQMNzAt44vPFzUU7ENhV6xgQcyYSuxb8xNYLX0fs03voyYJU8VoYJVmh7ow2RbDwVLvOYsOnJjL8vuJtallH2EadPnE2OSkYGBQRgw620puteVRS21N0WgqVsYybhI1IJ9QKjVwI1GZTyvElTKxK3Qpw87rFxwMzAK78QfhptzAH6Vhm/1QnqG7E3g1B3/WFO4DpIQxjl+UJrVUXtodff6xLtfyxmiPyNV87gT/PDLVOUKbOZahYXy5ZPjBxp6/18ArxFQ7kwxNgVhbEsBGzQKHcB7HvdUji3gZJQI/3cTaMr0Ww1dwyj9HyPabEN5V6ITxyhq6lJV82i6CELLxO36/WkzCRoZUduif4DXVI0jYpCVOfi53QZ+c8YzeFc8p4xVwWH0ke7oTuBPPjds8tU3NSQwMyH7IqoJoOA0Gjm1vq+0M/nrWEwPUL6wZihnljLB6MQl3JlsWAw7VmlYUjmXUb54du4z86hDh5U52Okg8bLCQtPlfy8ycDK7ZSQpJWeYEQfLxcrK7HPP2TSLKslrrfoKUQe/gpLdhBq5zwxqeyjEQLIz/lacXxY1bkYqfoGAJ/dB7FTLQm1eBVL+Udmac8h7ErefHrTsR/1+CIqlvMY9bYYoAKsFzd0ZZsc6wLErEm3v8e6vS9l2ZdktS/D3dpNAJDERbg2MEdn4restKiq5lVjds0eq99EDp5vc27z4+rgaR2TYNXf/tQvFJBDvLuTXCRyPGTsOdedvacO6StwQASmCzSdnTP/XPLwMccPyJ9PcvS1vc4769JCwClA0wO/VtZW5Es1KbDnVyUA7Cn37ExIgVUh5wghYdwnyXrmDHQOeWIVFcsSie/eRdd7K3T9YFY8zIFscvNZS6792KZ14gVZztE/O+9U/HomvLkXfDjQGyzu8bvqg7t1O0P6MTrA6PAZsgLiZ0Z/yUjf8PnKohXGl8KYdTzPhbINz7qrHdPVYSRVYvOggjuuMtm9hMB5yZfsrNK24SGHCfgEbYSJ6PkaP9jKfVYwjssKe170+emHo/TytU39eb4HnYqegxIdbQGmksNPYpZPt618Xli0yLuZknp516UxAz6vmF0YpFoejUaHJRqB/HltFCyjA55fq6oprdOWVdCvufFQ3d4Cw/Sxj82xBTmKb5EctkbBYctvq0tZFydDOx2MGwAtY7VT1RqTOGmWjUA9OaYm1t6rFhsVN1L28vGW4iiLqQrGkyX1lB62EGtCX2y3XDSKojcsTcw7cyXdoQRboIwMH9XZUKCE1wyfuj3Us52gcB/KADzS9K6MfQWDi4dgdjijqePwQkLoodEQpzdnA+G8PXnLWg1yIVdkNqoKuoUbWve2674ivGNSw86J9ujd2N2g9v/3Bdqh4qUBbmwxWa21MHPO1tPhRrp/r8oRd4RSXngQDqLxunuJy35Uwo19UV6suzVZust9lUMcVdxkjshV2tQeharGGvCDUpmFrz+OesDpYYi1kqsKu8QFJu+4cap2t7tJPk7UQciMhn6Lc5FI0rSb4YzsOI1YyErKZwpZAmRJw/s/nXhD+R09adWxjRi/83vxmgoc26+Vx2484pRh5xNhy46dyZ4ah9THC4Y0KyTmfeTOMr+EN8K0/0P/VC9xAm7Ru82hSJoK8VknHsDtYl3cMlKSxyJsiPboDMzrwATD4T1kn50BAsKBqI3UsLzDZrWJziILB883zJwiycI1cTpyKXWYBXzKLoZXPOA+VciRFxFgXd75SYMrvuLv8pfvepNJ1o/5YMtYu7n/AP3xJJ0CMpQMouxntdhvpI06nF8ytmgq3EjvbTWp1TTTq+PuI0cKFpGpisoFslOA2qCYlYqwfIcomMr4Bed66ysVaXMBL1fe0ga4tK7peksFQ6GBtKaSqrgfa2c5CaXDs9a8mBAP9xbbGGj46Y+uS+ELKHYkg97KTqeSmfqbF7JvQxYlhozNpGs1eUdTFRbRm6yW0uR4QI4OZpMij1aCd7V99WJX+H5BDQd3sXQd5Xfzg9fDxcznbBa0OklIm9rJTlbPuPBe2mS2lmkLZzJBbbi0NiwBFOZkoQdYQ895abbGpb2c84MTjlWaPUfmNep9TdN0xI4LM8i4l1aTbwnCREpOKz5uyA52PEwBv16QpWhlsEMmz36cT6dGT8oDQ7jwxupdUft50JNMONRqYD9eSbVnQ5K54QZHaarfwUcC3a7Mj6Q3vs/ru9PdWuT/NRBhFb30WpkjVnTuIuS3r4QUhI/W4vyJKE7cq/r5lLrRHGZaFyRjEAVLpGFAPDmozoLx77tSF+1jPx5qAxLSkJaiwweHXeEQI6Ye/G5YXJwv5IaaLpUJOaNGaJ+/ZrRD2KWHN9osQgOOZ9ulGMP9odnBRufOAmkUwa2gHvjuJl6JOlsIyjuXoq9+XSaCVZxpGpNjEwmtM9/F+SvCIUajsM3i4loRouww8N53nUP6okum5cshL8CKSloj0YGmy9k62GTUR5xLu/lxBNCwPMlq9+D/2LjDL7bErM4YddhwrGud+5qGqtnJn+WDXg4QO2ykj74QYMBTfv+MSGzCH6kDpbU0dPXUQpgPBH7XC+2xAkMEl9VwKSyzA1ABu+O/v4qbz2n9e1DMq3Y1QYIOcckSxZ+hluBNbtx08I9xuISTXiCeZXTTOcao8FWH3JdM5O3URw3CVj72QzCmoJ1dg1Ytw83HgwIAYAmvlmAU3xY24RCALVtDY+w/xo1Pcjbbx1V6q3vxxtR9WV0iixyAR4xebJGk0kCf1uXTJXOZhrFgsfwv0woXOnjJTaBOrlNjGuo7anvg2rO48T0wE4UyMjJlRFvb8A7Z4doe9asLfpUm7EZYiPRIGQZ9Lk69VAoXakRibm0VLy/Ctrlhf5Ye2Pqoq9e9uKrsUeqasT5TCcZITV3lV3x1MufDXENh2kTVLPX1tUUSMaWYnNvxctr0FerJ6M9yB2/t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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": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
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pyUNzqEN3CAoI0kiLNNJIdzciXdIh3R2/w33ve8H7ftf6/xdrAc+ePTPPntn7mf2hIlNWYxQxtTMGStqBwIysTCx8ADEFNTVWNgALCzsTCwsbMhWVuiXYBvhfOzKVJtDRydIOxPfEQ8wRaASG2MSNwBBHBTsQQNbZBsDKDmDl4mPl5mNhAbCxsPD+19HOkQ8gbuRiaQpQYALI2oGATshUYnb27o6W5hZgyD7//RdAY0ILYOXl5Wb4azpAxBboaGliBAIoGIEtgLaQHU2MbABqdiaWQLD7H0sAaAQswGB7PmZmV1dXJiNbJyY7R3MhWgaAqyXYAqAKdAI6ugBNAQ8xAxSNbIF/x8aETAVQt7B0+s+Amp0Z2NXIEQiAGGwsTYAgJ8gUZ5Ap0BEA2R6gJiMPULIHgv7jLP8fBwbA36cDYGVi/We5v2c/LGQJ+muykYmJna29EcjdEmQOMLO0AQKUJOWZwG5gBoARyPTB0cjGyQ4y38jFyNLGyBji8Bd1I4CkiArACBLi3/E5mTha2oOdmJwsbR5iZH5YBnLOEiBTMTtbWyAI7ISM/EBQ3NIRaAI5eXfmv6/XGmTnCvL8LzKzBJmaPcRh6mzPrAGydHAGyoj/7QMxIT/azIFgACcLCwsPCwcA6AAAuplYMD9soO5uD/xrkPXBDAnC29Pezh5gBokD6G1pBoT8QfZ0MnIBAsCOzkBvz6cDfyJkVlaAqaUJGGAMNLcEIT+uDjEDzf6DIRngaOkG0GWBJCArgOXh55//9CE5ZmoHsnF/dP/rjv8b6z9WUVE7N4AnIxcbgJGNkxXAy80D4ObkAXj/Of+fyP8b9V9WZSPLv1mxPC4oAzKzA/D+hzzk1P4OAMDs8ndO0PxdMbSAP7YAMCvaQXIZCKB5TH09Fk4WE8gv1v/fBfDXlP8r7R9W+f/M/P+hJOlsY/OXA81/PP7XwcjW0sb9bxdIMjuDIYWhYAcpD9D/+GoB/1PPCkBTS2fb/xmWARtBSkQEZG7z3+MEMFs6SVq6AU2VLcEmFv/Jor8HNB4q0MYSBFS2c7J8EB0AIysLy78HIXVnYg1RFifItf01BoSU1Z8XKwEysTN9qD82Ti6AkaOjkTsyZHdWCOQEeEL+QkoC6PZXggOYmUB2YMgkACRKb4CZnSPyw/WyAJiljGxtjR6sfxlYAcziQBvwo4ENwKxuAXxiYAcwyxvZGps+WjgAzG8s/0GcAGblR8QFYFazNH+yATckQntIqUOC/q+JBzLD4nEKLwQ6PUJWCEclW6D5E44QkmZmjxBC0eyJP4Sgmc0j5HhwfjLM+YCfjEMYmtpBXgenp3ty/2O0ejRCeJo7PpT/PxYIVSMTSNY8nhaErImR45Pg2CBkjR2BT2axQfjaGpn84QTh7Phwj/8YIKxNIJlmY/PkJiDMzYGOthBhMrZxejRDAjB6sjqEut0TCCFt52Rj5GTxaIKwFpF4vM+H830CIXyV/pzADiHs5Gxv7/iQi/8YIZQhiWVjZPtogpB2cLYDAyH8/iMB/4xAqIOcbY0fRMT8MWz2v84eEqPjowlC3x7oCHlsnsyGxGBkC7E6PTws/1h5/97tz604IOHYQ548kA3Q7ImV9W/rv5whkRk5PSzhZP1ohERmb+P8GCrHw2XYPa0SDkg8Fu72FsDHWDi4/iJuaffIkAMSy58nyQGJxAPoaPdogAQB6R4eiwfCHuz6OA4RT2awhSPwicdDtts5P54Y50O+Wz7JL04IXSfIy/IPhpB1giTgI1eIWDAD/zgITghVkOVTIjwPMT+tUk7eh2VsLf+0crH8Nw1MIQ/toxnCG+jgbPRYZ5AnCnJdQKcHufvTlf1x4NEIicHokR4XJASRRwShL/qIINTFHhGEt/gjgnB+TG1uCFfJRwShKPWIIPSkHxGEk8wjgpCRfUQQLnKPCMJF/hFBuCg8IggXxUcE4aL0qHkQLsqPCMJF5RFBuKg+IggXtUcE4aL+iCBcNB4RhIvmI4Jw0XpEEC5vHhGEi/aj4EK46DyivwTLyMQaCP6jhHjZHqv7zwH2fyb8WV28D3Vj6WjibGtmA3zMR17Ov8QV0j8+LXJerr+X/3NtSBCPZccLCcL4EUGCMHnyTECiMH0CHzLwCXwomycQwtn8CYQwtXgCIQyfPkAQak+eARYIJ+snEELqyXMC6XGYHyWR9eH1Aj2BEFZ2TyCElf0T+FAKTyCEleMT+FDHTyCEFfgJhLByfgIhrFyeQAgr1ycvJoSV2xMIYeX+BEJYeTyBD0oPMn2qY6wP7xPQ9l+2B1F0BpkbOTrb2hg5P+H28ESBLW1Mn9zHwzNlagmEPCmWT2J6eK3+56VhfdAYJ3sjkyfTH/TlX43Lg8D82bqwPkjLn80L64Ow/Kt9YX1QlycNDOuDvig/xdz/bmJYH2Tm320M64PaPG1kWB8E549W5kFznMzA/3o6WB/EB2T8rxAfNOhffQ83x5+Nz4MUPW1tHsToaWvzIEd/9D4PivRH8/MgSv/b/TyI0//R/rD+T//zoFR/NkCsD3L1ZwfE+qBZf7ZArA/C9a8eiPVBvv5oglgfJOzfXRDrg5L9H20Q64OmGT3tzVj+aIRYH3TtX50Q64OmPWmFWB+kTOkp5vifZoj1Qb7+N0cf5OuPfP6jUTdxdoT0HuC/vqogpfRf/NdXMxDoBjRBnp6wM+EPsioPargoFSF0ZVwbRFhYavrwSbvzPSf41WSGp4U8YpLUTwdRQ9MivP4E5an84JEJL0K6vYshN73WFP9f8dLpYCiJzhXRA8YvvZfHreZAElM7AvNh7oQPKxj7USrEaIa6cLrUMVoTN++429g3itezbpucNnR4twG2gJwzdLJ4QvBHkbSmbZgwbTLKJXCfth56BKajbqKzuozG8C1MmGXEuWhDOP6l+4puxOe++fmelK7OBPajTLn2Eq6iYCx8bA9ZsrT+6B/TZ+RhKvletOr2zwQy7dtrX6pYnB7mtyywamtHMDqacTDsA8omM+9wl6SiKpdD7tlIk0mv+NtNNiZ4ghmISEtjZUziqrZLUY4YbrjOc+qZpaGYo7jx0TmlvgXzs//G0j5wGu4tH3NWT1adSn/Ly7r80ypQqSb9HWe5AtFi4rc8jdISynCSkEgu6T6GK1gHZssFrYjp1p4tyzFT44YMCvvpzNtnk4dK43fxJJnPFMZsLjFiKuiGTb3LaF1r2AraO19DC7lJBmxjviJY2EFy/D2oTREMRGIHa/miLOlI9uYzoxaD7vhjFobmUL5827yBmTO1+UEAfT5jaxipt2Gu3icr+52CmIJReWHdeI3HFI2gNXrzbcVg4VVjAD6fFoaeYgsGP/EPepae46hTCgZE5ivlL/r539Oc1F8kHYRJ+ZGgdz2X0SHFzaBlG53wRSt7w0Qro+NCfZu9ViRrAIwuuc5Ft0mX9tg05lxnaDafHKCrTXl7Hz/utnfFmDn/bqG1R/UDnvtBXYatHUzMqAGvh7L378+4jGog0XzuGNlIHYF2np/DHmNmY2/zu60m1Nf5Mtsz/cp/dknCMhLihrT1HTMZH84WovFMryqom2oBYVV/VBgfb7RNRZ5BZ+XRp2tkdhVkKBX6EKWNJ1mJ8DyDqxNDWgF7uS6b49Y28BCIKtMF8ny/jJozUYDbfic4Xq1Pn/h+PkXQUvuqEqciFF6RDJpymsls9VVvPNWp2xAmhl/PWZNYXH5brba0nKw/qrvN63Ok3P45+5z3Mw3+CwfNo8Jh1oLaX2qDI81mv0xdgN4qovm6fnQdCaK/UI6giBHcjsJsubr/OfST2qKOfCKPMRjt1WUYcoymsR5vJXOeTQ/6yWnvzpBfwZBhd4c8ZwJ3mxCWDCFL+ZB5IQHt+VQKGCDSgQnjLN251BEvNDxopHeKg/RK8eym4LRs3y6LNW43g7Rw1ICNvsqLo9w9XkIhg60KmkMDsT2LdHqje3s8MfMjHWXbHHwua0TKzQX9F7ao69ff3ZcD0WjpOZ7Vle2UNY1oWWLG2oi/yABfXHJSahq8zPhYqDVIod1EbfI9N33MD+eVa9ptbJLsXiMmQ4MMWgSvDJWZSPEKr6ZMGK6iEFi/DlySy01vL8hx3M1dGwjUzwbMgFyHdnOq6kQ/0xQLuxGYvFT4NmAkEjp/N/Zy/lWeaOBRH5xLM3hFQpP5TKbQY/LCgsQhYRtzIRVvFkAdZsHnxKjBD/fWcNUHtRsOlaPN96WXU2CM/HjmjAntZPuODuOMB7v5uJISe5S5ctWvFE8i9N7fTFAuMj9NE866ip3rqE3WX7grkArugb52UL+4JuPE36GrCdZ3AMjMDXbPIyiFZWyqEp3dtiyGWkuMbvvq2WnNX8WMJcc7Mj43aqvUsSqo+DjD3Mhkblx4yVeU6Hc+/gtb/dPdGiUwZKPs8FdtskOT+yxy4wy+gl86J22sr/I7n5u0g47jOtI3ZMGSymWV43yBUDb1vqDj0/3XH+jQuFAZqWg5atnYwelXUHzVqC8rmcbTdFkJS1uKAdHpq86t7WiTI5SI6Be/t51/s+7zocfsW5XutfT1b4Ut/cxjSXbSBNGpPNdeDe/Xl+EKf25XO8eDDh1OG39sIUf5dsPvTfI39KNR4kI06bn3fHFzTrFauL2A2YaOC9WhHGCwaKvX9symic2wYMhAeTNzuSYWVdoPkU/Mh8bdOH4z1WNusJaBfW1vVTuapOhdoj9PJ8bREZ/gtFIOvUUPWVO9qx8RbGtYS1UUW3Z42avspFU6TzqHhCdyEpxeM/wBdrMyJ3HnWq4VX5nFmRyAsuMgF6G8MHdr+qosbDEtUEVBov5ri8/rprL9XPnhFHQWAy33DNQbJcUg2hxPin23ijsP8U0nNhEoxTYVsnZfC/PGxBFa0uvrH9/ghUIKNK6oPCjGatA/6Oz3JV7RXoxXb6P5OfmyDqeJ/2pPzheTqa9Hb1FDxq0fsfbslmPE9s2YL0tgLkUTfYGNvV651dJtA0TMbgLtuHfyn15sPpuUOSMvvWOQUZP8PfJDxpPAy9EGFyEz4gOrPFUEHG8fK4jVtisx8cXNEO8HnJdrY3iSrP4oz3eWzR25xE4zulXSuQFtNa0FFtVsnlB2fVLfnHWg9WQ+C4zSkfkPm+JTf2rpDwxM+XXcG00xuyRmsQoK4SOfJcs+uHD3bIVL+sxlUGDcFbsUorhJwJflxghH0guQjDbsZSAXYgoEBQ69nBUS64kpKnHYNhXJKx5UNuycNY6zrn3OpJWqnYEUOTuVhp+1JO4SZHchrG1fFnjfWolZOjwoPmVOuI4aohVfWdxsQCByRChn4Jokp3skG17M2FgusHjvEKDh6HrQx8K4pggfyI5Gfc8W+3KP8v0vHzHReY40OP2xXFLnL8trJws6vkoUutjJMa8zC4Qx+fxRHdCt/BHL5lg47nCjecu5mbwYxeeqOuwxuspgEy3mCIQyVW5j3RvjN2HLvxxN781WyU7Mx62hIKS+zokpl5NUijUR+jjKagNtyia3Uv9MdOFeTgGWIlzE4ZoLoaNsYlRDuYOxdWBfjr2nh5in4jC2HAGTf4w3vGZQfIeVJmLBcGOKv3eD1GvYesuxWSycrg81pAMFts3lbJf7tYCneRelM2qBowoAsWE9rFCs/iL9B5r3jb6NqM+IiNBRYiFzMC6q+l6MokbfudVYS4sgZ54yzcvVMNy92or0G/kdd1xi+YXZLL3KUZKc+1W0/IbJ9A9aryXz+ZnQZxxAFhsvD4eyUXxWgEHQec4XTdLMwFfuOzayeuvw3M+vkPKyejOqF8Wd5jGHjr86Y2B1zuFowqQeL1MmnpO5615yCjUL/upgDDW8UxsOj3id2zBQdAOIDt56NiNR8SEJ/H1iSLDXg0sg9avc9t7HTFWiPjW34K6xXis9ADrCgqJlWcB7SUpi63M+Rm0duNyTr8NAZpARejPZr2R27j40G6kmTzS6EEzCLyBE7cK5ifljHJFPacHH98Lkjj/myQ3e7hCb3Q2aDCSG1orbV4CBQX0V6ulufNc22INSxQLoFAamxiZY6D6paliaq2/kWLcUO8b5GJnSlRxNPrk4fOj5id6hjyvpy48L8LMMdnfoa3n5EUZ/EdVYZanYmGnV0HXXYnuyiW8Iv0ya8fQTPHLBR8M1Op1lokrU+j509haqmBoGbbDfdYybFuuiEW+jiuzWvWRWzYDzGbV18mvKDJ4cxQbnAJRO9VOHvJRd31lM9189aX2jb6LrndxSYOu4c51dmjvTKDJ22got4IC7/ZzfP5h7l94F5NEPzd3L5wjsNvDtDdS5QCmhMr7wtIKZeStTLQR/n7yfzYUTkzStHoF3XtijXu2UjlDL4Ne7UOe6FwBeHISR7kV1qTNCKfTT7S1kuDaDZUdjnTdioJxxlPHWjMnDiUUkNA589l774qO4hQ8WkiM5wZBGsL8vs4me7HicMrTcMpeeYaS0RJYNuVsM/LdgnR/fatOAN9m7zBXjUz7W3MS6k992zNrMmmdGvnfNBBBHit7eiUeu2yjRm0j5HARQB+CahatyNQLrwbLqnIsGn+HhNaodTvRV5cWnAkiTi0olqNPwhEosFiKqClITSnh1Ja/lLTcJe5NH5hrKGYhOkPy1YvjYasYlb6dwa3xvq9XCRJTfr5GC2AgAUkQKzvFVLPqwefWXz042szeM1p9JdjInVlE9j7dD7m80pkiG5WZi+y2bJutasbn2lkqPiyADlzKqNkAY1iPtU7ZaRu8a2usegHXGUp7sLork7zub69t9LrhxT9VvL1qo1LQuvwuWel0Rhw16SoIBnbQ0qdquJS6ZCblhrJ4SzUh1PIPoSHy5cwLlcRL5H0lWK6BkA34S2Jbp5ANl/GhKR0rrJs06m8vRqVBuiSwM343qHb5dXKEeZ5q4QylZBALg+ea9Ll8M5YF+rZhmzJKPeTbqVCkUw7blvRu88QrKvO1/rhnNgYzT+3ktUjPOAMP/c+tOdbQUfUbRIKIg1qGEpEbiWaEWsnd5AeP2yKsFac9EycHJpToH7tnySz0Kt1QkZqXJ/W85tbmgwtwq2oWoeOSVg9n4Vy2EMNal2jZoAd6WWKS/hE24y/DyPzi2v3ZLO06iQwNgdkQDFwdkx95EZt6BqowsWqyslthLPtFGB9hD6/Imf6nlKsMOnHfVJWAuCenUBiepCq9yeCN+zYMjV+wCHmQOtG5mYftTh37GyZ47ifmEVgiMCzNjtzEbRUjpdwkptswujQ3Tc09r2VoXoY74ZYa+WM9h4uv1GQtqFzFg0dwtFD0KtqfyIqApn0aUzgyB4ytuXgzaC+1RxMHTyY0+BWKoyvbnsHJGqwhfsN/1IHphTdPFg+AdpRmkG+rECI6jqj5Tyy8vpDD4SIJCdQOaM2djapL1yJMPKn64RrHlaTE0k1ZiQrOPc2B/vy0ShxlF8jaZohMtyVfwGpFbObFLRwucmQ254fLUdd7l28lmYu6brtwKgQcZOPe100gDNWW8lToM0QqXeMtLpJ+xzo1Lxnw4h+aWxP2Mx+uQ08+6gvZB/L5OsSMgxXewMK0oXpnOqIOE8lWPpUcWpVj00RshueB8uBgUol7j049HA/gHEdIoTaD1rrvf21LhA4M3IYpFHkRFDrfCAAaPdUO+5x73kmEhV9ctRE2WehgpEgeqo4TtZvpVgfde5+nlhJhJc9WFbFmzpPapw7kWKJw3MT4HYeh8V/S1J0o6L0aDhEivmWMZCquaUcC9PxA09Uqpu0XsMgNWjV9gkMTupIkbV3ylNVSa/oQ0Df0uu3zppjXSwnHMvv8Wa9puLwV/KuBlou2z5fqzYnOf0hpg4Cj/IYaAUibn12u0w24a5Bi/O3bUadUkOoMzyYvOYSpR298plIi2FLSHpTMxPlr6y3TRt4kx+Z6ZHwmRkbOcyN5LLDSbvh1MCydH0QgrGTvQewPXpdBv6VpznJ5TLMv3yvPA0yZfW62/IVdmiAqGK/NevDwnjrpsW8KE2VV8GI+V96BHDvxeiaGKZc5PCkxEvaQHFZVHFohMJqRCFB899GP13fykPvzF+Po3U0oNkKPgmOEO4QKSS8gOS90pzPlgmfL7rwyDn4GE2Z+ygwRZZHGTjZMZtNbenwfEsezFyQoYDD8/XSdHHUZX/UJ8/aO8nkn0C0ejg8knhjrF7/TXaeTGeVkmv4I7qGQUQ0nhb/odygtpMC3TEVSy0NNghF9hTy2T9AaDaLOOxexTctNbkTxr0hRPsX+iVX2CkQ5n+IyvJbvTzrWjo8oTtrJmpOrwWiEm5pWUWc7hmhvxrm0h8qZZo2pNY4GS0xce+RLWwR9VApN5OrSgrYjvpvg0428ctN/ixG57abwwmxRGILxSsX29Tij/zX4C4/yCfF5iUM9YaRRZKuaEUeQNtATOVY+Ya1CbY1vYz7SL9baMxru62t0kAzlRd6eNEuJeFWNCTvXujYqlXNwjJp5m3RDD+Rgtt4DCnuL78qvOUSTYaS6EqfDhBf6yIwUdf4s6/8uD0QHsewzGdtRWgyZDfOovOks1se58r7u0VwS4hy9sVCeH8QvPsMWOXDlamJcY2lHWvw9xbLWhWqrLR5aNVE+Xc9X97lvyJd/7fRKqNoMke7r4WoNZXyLO6FW9r+36bnU+eII+/h1eC079t+hetc3CgCrYBl/eH/wo0nRqW00iZOttmmpfSxJDfsHOQuWLNFzSHulTH93oma/SjVgznn8R9eB1N3VmOfxtgPZjpuFVKc8MR9Nr2xajOPI2zzJW6+SBL58td+y33VIFC6LLmkUzR0xxsaW5xUMGego/z6R+Q0DFeWFqC53u1+jOsFIfFLhEZaZ3726w7BClIW+yIPWGKaXlrKpgInPA//QlNomvnWZJStrnBovwpG38VktSC36JX97WJU0lTT+H4cgsZjVXSeROkZ49V7jQyDUdLN3CfvdmPb+CukZqrzaVTMGIYVsoEcOzPPbeV6OvJF9zzidkaYqaNXqbZXVs6I3Yblq/ghK6UqLPXP/Xfq56XenLYjFa0/DFdp0QH7hkBmseug8yq8smJoEsp1kKe799EZvbOPUuQYRwuXQb4wJcqKkSR65CkTsxxop0DVeuWlEu+930Mf0OWc9mdYBZBENjWxSH7DY72Tll1xmwvPbz9FKCsMRnQpUKo9SEIsSGNHa5cXIHryoM7p3mxFpG2NpNzlBqghk8iwdhv6anxPSxjnJgX207/6LxHc/4BO+OH5m7dlXrvLVnW0n0fL9UWTx5b1kb0Rx3MgU7ff34Ph5FWlKZ54pGvLuMFV1TW/ojp3Qngg3CqoTLOveKCN4euJqInZuMy/xVEnQC6IZti0Aj1D9a6L2NiW/RADzIHXcpDk3lwp++t7E7iuM89hshVI9V33hz+yfS2s2abS1Jnb6Pics13Cj+8uZIoyljYRSIqj6gc1fvdgrPtqLhpn5r/UubidDrOimcDQn1ZfVuHhI/sv6Xpy41GV7OPaK+LQOw3/w9CFG05Yel3CTCXTpCDtYyXngf4BPyGXkdvlBpq0mW91/CC9sjJnbbGGb1a5mk2u9rft3lQEgbPC3mRc+TR8zQZWYtHF9S1KAbQ4xYiQeVNtGcGJzIdGqRRmQ+7XdoiUUzN0JwEesyJZPQ3/ki6/T1q6vKeVppqaC2Z5hcdBZjuIQBr9d5PDjzgk3ExDz2Rd4WKarqtVBIM3UbSec1MMtyx4m2v+dPvW1EpPmxsibSepN+znBdbhDJPXa8+9NuGGpP/bfJ+7TONdj1VW56LNctm3hH39mamnAnXwBMcEbxVg32MAvNbN/u616T0/KsZYLmJX0E9dKTO/rvGs5eAD/6po/G5sjuawfQqRvqRysGGFmx2P7SMmN3XkiKO7hmx+SFuK/N+z2nxu7Y5UkJuCM3zFNSuysSGrZV4QxV5HjKSPUuDvZm4vzMWCxOM8oAfgLF9zxwsbns2jJVO61Ds947mAgy8WYqZuqKiC/lOHHKUD+jrBLFvnA0mKAJf2EVdZFIzcj4fkKIwDVkN7ACrBr2xbOZOeut6Fh8GSMlh0+exwScR4UOG9vUUlYOqebe4rqkeRjefEqnwUsVaTp8uxV9WQW/HX+L8TkbCvyI2CDuUfykJCyn1mih9BhE9fQYz2HxjdI8aJxDHqbE4N1JXM+obdJhmuyYzMxh/RT4mRwKo5cE6sfol4kzgbzyRbuSktgxPhfY6y6nbP7paPdhSxOW6grLQUXk61j7mdBYohFTkveLPhfkDZM5vg4vKidKwn9f2DK3vdK8xrNyLjehHN6Uq05cb/xxhMLwQbOArMUxsVYS5dWzfjDHTgMKj7g0cujBUJF2A20KW8m6DJOYYpF393jid7lDEhxwX1TSYkHZ1/MdYRtzXYSb+KOYXHAnzQyw54N7q4SgTV64FhR2oqHQa8n0ZXLvOJ2Zlsm98N92ngHFvvlhx6ZhYgFDMBo9HZjGIYJ6QtWsgXqLKWlpbVwGjLgxbbcVt/Ii/ffliWzxlf7iyPx0YRvKnzKFd5LRe1C3tnYROrcz2rmpCO2n2btfRr+m0qHYtArhZaya526C/TCyIMWYBbRvamnWSpyOtgjnGS8MMM8rcrKkfbtxA0dwT7V6YIZq6r5+qQyNHc9khOpZWP6SBc8AwZ+AsG+nH8haX7THXn42Kt2xUCJS7YMSpl0LEoJNYZjw4S4sWN2kP+589ktgjwlXrZbI9cx31r7PX5JURU18uW2sbent23blqPKGcSYiZKWZQf7nE40YX/SvsWdCfjkU8fGELyie9Q9YRkVAH0UTcaAbMyBKcXxZ5n5xb6sv8J6/cUnwuBgedP4rbLhibNgjalO0//RuJeW5bkYPBi9aHKV5jlZtxo0h/L1wAqNWIQeNM/KK2XRcU9cESXLRRFKzQU5JxZVUMR8KvwsoqJOkhK6k9433UYLF+jHJpv/wEqYS46cli98Nul/Z3oxkENl0oNbQOTRDuYsDVDPrbJKF7EOQaNa+ChMk8F/L151LIfhUGNvYl1nBc8Sdqp3vW67dlXMrXRQMovpailEw/UrHAGbN5T7f3mbquC7fjf6MaJvo3ghwOpNw5mwdzQ6rkvDGvPDH3/NXHfzeagkwXt6nnpefPgGVPs+JKfwMHrUX2nhVoAWVezpfZGw2zVYi3L2bwyCOED1RuRNVw5oe2XYsx1Az5Xkz8O5d5YJn4THLPRSz2waPLGoGzfbHl7h417S0krUNR1uzJr772XrWVJ/OCIwSf8YBmZY3DU1kVD/hsoD9g1JkxsyGA2+9ffVjr7PZErxNx2DzJvfx7A3GCW6+lnF5/8jjOEodZhchxP96OkvioYtvUGK5WiDMHb98PwPLzVwCYPkBXedN4TwNr3goIUN3OeRaH7b09d2ODtfVi/tYKESORkfqce73iaO8/XW1jQ5qOJlazlft9hgpccFj2xeZxm9NPkaNy/tffj+PktREHpxxGLTrPpl8A/clKEKX/X3s+98A/X5HXuYlMJGx8da7kppgrhgtc2/ovUUkFmJDpNfV5BXv4/KxO6RFlV8S8X6E8uvdvEDpDRVKkp5+Dg65+JJkM0AGVDTI3HrzG/F7XdeE+A/cLIWaBOuIYqgNClBsBzzLnq3ll/PMA5+9yUZxdTx/hlPFlTTDyJ03x21hHq2Vt7I193UVsgKJV78zMhv1Z7NdOdcAuflLBvdHRGdNVp64gLYW6oEI/w7imJDMKAeLgDbBV+1eMRiOp+eRXWrBPUSv5HdaRCo5HfNiP6iyxFX+bIImqRvjz7QbVvNXYGHS+mmMNUQ79prNdOb9iVTzy+bPNzs6JolHzj0f8Rwz9Avjbo/VqNZh7lHSGwtkh5PsUJm36gPhuN+GvHjWOjDbaOWorBQlG0pAOwV/kFHHU9fNl4+hY9dGXYkHMGHOJoRXgw5uSnmRmSueC0OQOWZMfIVOaL0AlQN2cLrgnADgG0jDkIbRccQd0YfO1EXMIG7rjBJ9y+naDvTf72o5k2xlE1H7jM/9E4+hhYSkbvrIIn1oFurMyedclHrCe8jELi0ATuI94Sdkq64zznsScnFrbuJ8gUpkZzhZUGMN2fvRBK/+0++MJptMviueMc3F4jkbPgl9kph7JXfyZ2IOnOtHidscCaRIb42diR1MzT5CPiNacLhJq14Foa24VBCXmYiWEPrzXAT/HhWt7gEx2GW+RdWqNCqi8K7yVOzU832Ff8i5rRSqO7+bxtGI5B8qcCUhRfS8pS3U+a5itK8HC1mkfTerxI6M+Cfy8agshyr1+zIawxGNN3sk0TqW8Ti3DeO3m1fbehbog7hQCcmmCIJxMXF7EwYKr5nF9MlBhJnjgdt3NfNrC6U1wZTmu8HmWu81+lmjo5kUZAQUGvq7X4k1WGMQjOWmyCSN7EeRHcMg/QjxjOrRH1MN/+5+UxQZCrXyafxMaM6uh/BYJt+FqNFIhira/QVFuuYJyOisqd5hhszfJHbpyja6qEtKbCNhrj+B0JpDS4jRcLCBX7r6Y7kv6YglM87gFsnWcR6soOhYj8gHN2isTkeJfe6XbUz0UDfft2+qN1kYJy0YFr31UpdiCL3v1gdiglvzfg06Eoau+nSmMXyJ2XMd2P9CWhdSW+gp8VEHiwALNbsC3Xa+mEBmcskiYfzq+Td2XBFv+U9R6xGo3Mk3Y1vXdqVNK7dd4StyDb+AES6C3Cl+sF+f9e14Jcwh5b92zY5VVFRFlSBgSeq1D87cq+FAC2uozBBwbB5A71JiHSbppWyZzfw2AdtcWonZM4KrPPsuoKQRAW7KMrs/16l8EoF4/BhhYcAav1SlTUwdh1H+06KUm0nhJyE/K5TzN2Js5Enqb3Dz38FVz7ibdySnGwcOf0620YiQOc/6CvyA8HOm0umK0d+gBkwHnLgpIe3vq9jS7e4keaZewnSy83q3X+A8J4AkPPirGpf76kjEayKbHorGxIz4cpsdxmdLRvT1ym5+7KAKjDM0z4w7N7Mxtd/z7+iyaKqGS7zgu+xQPl3HdX4MJIQrMA31TJ8Cnn3b3it+b7NEGd1RQIuZb1GVR1qz3cA2hQlya8GYrrXFqFrYOxgYTfxqmcV6q3ZA7RhC24TMRSrEjyqljKn6zEon0/dVF65kuSQxQD2e2xsn5XiEwmcHSccg+etbK2a1iMhLvzOUjuasQWjXZU9q3HI8D3o7KMsjZNHz8pHOXGBuYhbXBkXMa+sLpSiLsSOvdwwJQ0smWR8KJ0NrX3kyDQ12JrHQKPGTFnPXuKSSdx6hmMpluLu/FxCitfFOBlm5DLXR0myjvN3WY0OfdJyEPQMFoc2suBFQhZQYeHfqE1yt662zHZ6+rKILG3/XYqdSLM+34LFmPWaQ8C5giP69dgsepWPtW7vnL9/ykLVlnN9eySezX7HaYGnZ697WZNV+Ky9dbz3bMif3u1XulnbGMet3UsjaT77eRLP8NdS2s/ipFvdd89L3+sySqazPhSeJos9qo8UEe9z6KcQuoYZovAdPosyXP7t+/mi5IyYeMcZWDyd4oAnM90VB/flti0DIqLveQKGVFXEVras62YXb1V7mja6bHBFpvgYPzX7U1t1qLJVbKm9tH7gbDzqN68NC1DB/oyvV3sbz9iz7q+TbYJ+k8Mj4vRzdjy+Tv2W5/khU9d6sIGrD8aUEp1NsqhPsQmXGUcESdY+LfrWwtiKfIi2oKNQ0PdPfI1wboonMZdayzMmhyuxAN/jhI/mF5wZmj0GuCK7utG6VuNVwoDo1XO2nIhU/3VGTVTbH57OEQCsyKAS1QffdwJioLVmPZIYi2ROdicuiHMO39VT6bfCDkbf+v5/bKkR/vcnEQpkKX4jP2F9Wme27EPPhyDFwCo2kTxuo1rvNsvukfZWydB48ybhdhOssXIZZXbqt3EIT5PDGPeo1l0+yPObIb5Fc9kTVGcYzLp+hHeKNQte2zxtoULk0hKdmQ1B6EoxiAgayxQbwsO+fvagPfkPl3tGdlO7U63GOl1UjURo/dAAckAu/CaVj+j6d+Eb6XXaIE2u9Flu+D1dmQbR4Ttqb/ezvfTQZXuGxK5QOX8NEoCkwnF5fq/iXFKBrQGGQbNp+vKlfCojMHA8+z9HuuDDUpdaUxe54y94nxt9/xi6rPQFDcGuRUgLij0Ic/8jst5doK+YQ29hxt/zWGFr2PqYeZ+yTK33DR5LVLwpqd+swFvzMOtTf412cbjGmAo8jTrBIio6D/Z5JOFRiWM2+GevPPV42mLaodhapc7icL4CnNo1MZYvbOJPiYcszVaSFFx0KbFv0zmPs4F+TWhff9SKIfrGjRuSLmtaTstkUSMMI/iFKPnJhP9+fhRcB0JhQ4I2pIVUYuS/Gp9JEJFA6dxQ3CbgsHr4P5ArlnVLfDMLrw5X/epUUxO+nsyrIY+NIGhRQYWUg9hVWWcI/qCRo8tJ58ZIm2lCJCjkf3Y+HdyPUm4g+lXXSCQp5+cr08Dv8nK6dKiwZiXzDBMlLVXHQsWW/EHNvC4o4zHYx+V363nHNts6xIaXgD63Z9VY6nJgzurWZPadXLlDuJsKsrVFdeB7PkIN1r0eJVjqBsSG9szYaJwuf7zLVhaiul6BnL3LrOmD2Op4JUcbV+HPxq8QLICzaui6R+inkktNnuandPzcQcCxSyOWy6VSAUsOvg3vLbrn8WsjqwE09Vlo6pZ57M8RXXMHK1diQjWxfjh2GnP/KBvF+SoiUy+9IHqjFU9gidkSRiYnl4S6uQPkuMZCrgBy/YsXc0uTY+6b3cC4piMq48+uAePXbfguOAlNLdb/z5VfwUXIWuEpBxGOqY5irNzT91KrsJaQ6BB9GE0+bFoVewhX87PRtSB6rx4Auumv5KJ39wXVlnuqwxT+s+k75N9PnZLu3C5hZ7Z/I/XPm0vWd9cylMZDDKfXtD6Eg36LZpe/GVUZ5JHeY7/D954QYT7ICoFhfV3nqGMmYtyhhib4AlR4Wa+/ROclpFqQt6MyM0Ebb7RZ/JHmBjyvIuBJ/3soD/SwyWAtrVKTd6lPcVYM/gv4tDwtG/+h50wGdxxLT/YssyxvipKypRRKXZk7hayojGOaaqyw4R5eIl5SFRgIo/MbULUkfJce/bUx3j3wkIyLEXu5/mexJPpO9Hqo8HglebMQuAKnWldRHYoJfZqzIaXaJGUC/vR8EgumkuA81PZd3GnB84G1Rm2y5oRzquk4uhPjwdBxPvv80aVq3ApyAaaETe9mhCLzvP55IvaQg8rCT4fai2ny5mmPEVaaTZuHeKvP+kmdTNwKT+vrHC/uBoerWMWODZ3o18s9hrzHu59DvXn5WXWlTYi4Q2nbDw8vNHWnFSFR9hwrfePG+P9WXQyYPPzbimSdj8gGPTwwXYxVlT7ZzCJyUsBs/zzt5ytqPLGP7JX4S7XWEMDpVjCe8ZcR3w1jYn5ak6Kadv12rFpBWiaxuvzVScZPAt7X59o1/9iuL7Er2LvQCy29avGFV2Rkufx8k3e5u5h9XU2WJ83INglu1zj+bxpIzAAntPiLIJzBToq85acKnkJJioKauflHHOHw9/AAuJ61TFF5ceiflJQ4lpaV7w2qUKtJd53gUnthM6OZfO4xKvKkZ3dAy5g9T8CHpHTKCZrRnT1Rrvsjn5yXzrXOLC2Gfgc5BebNxArafV1LPONmqQvdck1YOPzLoo9QL9BLhpN195jqapVGR1ybhTcCuPZa7XDfxGjuElsrX+oUuHp2dvNDCua4I7+MgKEzm6Vq9Tp0LjzNEXsRtfiLv8VGrmQ/zYsL71Hrqlf4wO40zyhcmZOZTkQFvTBi7YX3LOl2VZILJyOyroS/g7os43asyh53poRP9YOrCCCYLUdA8+Ls7J0rh2zOXj0yxdYSpwN0IApYuyub0wdG3zwKTJI8TA8LTyZyJSQ/YjODQ5e/eGTowIYlXRwfzyBghxzo5AIsotRSQTtsWUz4YmDpV2wzYKHUMY8vdjVll0nTYcyQXe+0v/yTC5lUv3+N+p+lIlK739QKrQW8pczjB7pgeHgntW9Mho9clVIr1YApycocnA7BbplOqsFKSPPf3PBVeI+H3qTf5h19UW1ltp9z6MsPsjj709HgCaq9FNmRWRWHF9QLYPuRVH8uwn2L6Ybw1IvGkiEd11oC/8JxrIYOmNlmscmBpgJeeD0Ro02f8FEtrtIzjdjuqdS9ONxE67qmNST7MUTp6XYwct6CWD+W/B1B6tlrUlOvNj+x9YNKVdDSfJ0qQi0PIafJ7lgsOptoSeGlP1fNdD7EYCT6yn7uIJCbQmnyywcR9jMqkk7LXw/HtqyI9HeyIBuSQYCRhz+gWGB/2JoSP36Tg5/eyaDhl6uOj+NhC+y/yT/p77PYZsRNdy8yPSY0CHPudIF+KO1WqCD8nAr0jkwwNr/sdfySvFlM0BGlNedpwQmHBJ+ROiZQ0CS8J4CMroXX1oH4x8vS1TP/WNX1D7/UFQEavro13BOPf1+YvzFqvmuzXBU2MAGclmUtbTUaGvhQntdacNBRsSg5/dYWdMBIAfaJ86qyB+ybTpEKFQK8boGEoqBsRG2vYTBiwnItuX4BB3GZ/FRbqn5MvsBbwrZjGb11yISg2qTo414nvB9wVxaG0BTB91eV3hjo1Qblb77mgCU2OQuZFtgnlSJyT99klsXGexbJQ82Cjgkgv0nmyf8oBnHcrWeICwCi7HtNxYLJeKRBD8dcgdwzZWcB9F8Ew7BL/2SAuvYLNAubP29Vaf61Z6xy91G+CObVObDTNNIusyewMYhohpPQd45TT7LHTKEC45w56X+UwmxRRGV21aQaSDwWBO2lM+hKI5F77ppZwRsl8HzQbCApeVnfbf9HnRhNfbjzkXi4OkG2uW4hOhiZB1BBuWFWLld04SHYVmAKxkcDeu6kLrgJwo59xp61na4BOxr4HmBh/scJTFnLTlWcyYfs2LKoomeB9tfHdswps5ql3vbSSgXDfrIKpQAOC62T6gAPaqahRGjuznxYYP3T36r1pX4xqYSPlUHTAHgiPEn6/Mzv3zhd62dgLTEEaCdOG0Pypgr9tGDSNHljK/ZmKRXCwq9ztxaBQ8Xm/+XviT5bDb+KlRxh9K+uCZ9LZc4l14V2PSpoKesSLYMm37OlkPgh69diwVSG7DSnBMxi1xMEsBWyVbtgpm/qRrSveJ9S4i9LUOt9uoYdtdl1LAttxztcR0FMwtwOocAXUtH7UuyffVyx/fKcd+JWHzcJLVqj+2fts+J92lMvlMi34Q0rDklKzC3MOKzYWXBb4FQHxvwgzqPzYlGm6514jRRDzxdCGQ72pZUz/1hNoonZCsGCSErmLrgkYVKdzyF5s8eYqjkpnAlBOpxH37bb1EVFZlNc6XKi4oDEGUZW83PcL4fUTkKyYcKRaec5G+9GH0qC/cSkKmavFb4Iq7/wwdX9YL7NY66KIJ/Gci4k+zwN4EZu8RdlhwVc81R2/bleVJozb8Vuerj/Dp95JaLH31e+gG2ysEuDFtg1/3CqC/NicNiyNhqWDhxSHJNoZItRzjfgo5jXnAY9lloCwtdpuWRo/0vVXO1BBpyANbxHl4lcGi/OI+TFt5PG2l070EbD74wISDZJwvw6CHbMLvcqm1x18MIbCMDqI1wIv8jTu+zOK71xw3Tl7BGBwY340alsdKJvV0DVwDwmdUJFe9t9TQu06x2EzCnLK2chtCe2dbNX/jsPqciQwBgzjYnRgWeHxNTKnIiS0raO+N1QPYQslcX8tI9x33kQxdHZz5EqBysFtx3kDPdOfjJrtqq15mqoW9UYAB298RLSk9nU1lwZmOPulwEHKtgvPSI7G9DUMs11SHF+ny3t0LSFomve3Y4RK43OFr76hpkWmyCzqzVz5ScCaRPdE+IgdIywh9lK0FXo4uQpgWYZ+8WaGduu7zAnb56Zy6UP4bE+F3IcZimHl76p9+BMTU5GIcLjyoDvhTLsy90TTj7RhOIPfQJWvwLm0ys0kitgXvlNroqaLq4DUvRa1NlLQt2Us2mq+P/oLSYfg8zc/OeBUDrUu03Z8BLliRZI/7h3rjZlEXx5QpTnBHhuQyMLbHTODsjLlnitBpQgeaqPBjX5fnJsoL7DG6c7zrldosLatnpZjOv3aEvT2gPiHUVPadCjsHsM0c5zYZe7wV5yfX0qvSuf40l8ei0et5WgUh9FtLaqBO+Z/FkdRd0+q7IuH0nDjhFy1+rn17q+9RCM0g9u8qBtmj8GXIJmAQu+QIILSNJTXRoRSODffFbL3Ehz2jnqRzxt+73nUf37r4c8niMS/8OFO8rendKZPOzW37qkC5wAZ8K2hYYYduBx+iS6tAIv+UO9t+KyU1xX4Z8Yzj8XzmEX4EHHYdP6rFwMuZ1GGmorZpZ9bYmeKeN72JB0mkll7MAyF3OuZ687yqSa9C33DdZXJUEQi/SKgpg6mtjb9yKw9GAu6SL3bHjCQOvEc+kN6FCfZLzufjeViQLyptB4h7HHCuQ2H0GXzugjKniCUp+ndxmWjR4UlX2A3yH2GYXTp05bvckQTq3BA9hvJsdZxF5bRUic95NArx+ty7IO5z/RKKBVpBljOWS7WFrecKoGFnHso71bOTLmtNXfZ0/U1ArS23Uy122uyAX6c3lkzyYfzGDqo9fGFvV72LKaKpyIFqRfRduJJLM5EH1RSt5/dR1Rn6U1ZmxY4joVl+kQHuCQr7KdymHRH83MC3Iqm54q6EnH0YzsBfdPIJLDowJeOiFuUmw3NZ/u0LB/IOaljpJdRSiO+kizoxp8B4DoDs2acpfv56UobfJbHF1swXDa5RNi806emtmVDIpM4+8+uYQ22X/HIbUuN3bCeUaFaR8v1O15ooJuq8744bDj2HOJcS/DZVD8wmAjnrAygDPi9bT8LNO+E4vx55cdOD1sVWK2D2MnfxjwaCgvrv7korM7t/NpVPngvorlXP9M1qVFFaL+Vn5mb4jho7ndlTGDkUmU7aUvIb3UUZiP1morrfhTksPy6DFSHDiQvSsS2PTb7jHhT9cjTzdUPDMxkVqFVa+eI7dk/P6PXSTC252ZG+Zm7z9pW0vTbWixJgwtglcEnJXuf/dFwI/bxoM4ofg6NqBsGzNX3TEe3Aa7R8XFyfTyUJBeHUM0S5d40/Ra2MnFQNTHaZeBOuv9gO9XisnhzCVeOy8AtksT/1cV0+n6yWxkDkF+FwqlT9d1gv5ZHoYteoP3Ny9Tq7dDAesa5b0FSlAV3igdlk8ZDIeBwubTf1d/bzGtyc0YZe8EouDCg9wSwSLbB+xzzFiDE68tpEsSMQn+/WGAL43L+W7qaiy3JwPGsVatmO5sepSE7cre+8rTrgzz5E2SuM8V5d0Uz8krtwt0dUV/atvKM8B/HNwGKluwS+ponGlpmrmsju52Zpj/M1VB6Twje1DF5RS5m3+8bWbvZ0l1+K5RTeM6z+HaB0LJ2FPjjSHq4OVFm4cKJKXP6RIUj8fPnmTZr6dVMSVfOcan1Q+V6ip9Ti05jv7Zed6nE6x0PWiMcZFzJ22AEcIgIwL5kprNV6xK18D15MY6j8LxqqskCh5FPVGPTp0PycGHAo06UPT7rkzNLOYO0wnu7lSBYU/9+1svwrtR4p+u+qK+lUNcA95dmB5vPtr1BskyWTRam7ec/9L6zS5q8s44abs60pt+5nMMDPQ+zyJt1r68MC1zT2RyEdRuPDNoGbDglAdX4cEf6BJISp21vgY0Un+LHIh3EiMgq4jgNA9+IzasIazNxTSDj3O5NqHwdFTsPmw2V9VfstuC319xDj9zVgYlokgMnCN0Kr5BU4xmrAXuD7EZD3Fd6rIigl6d9K3hZJ7GTCuvntzkuUnuzuiSb2mln5poW7bANsD4taPo1dfrA/7Re7ZfBy8QV0P2xCtZ/PWKvwdrqiGZdzyFcP4jFEiMU/eJk6jWjx3VVCewkS/QPOVzKQ26TQidxQdW7pnPZyxP/Xdnxr6UVPOfCnMDKTBsbGh9Z3Jnud/LOl2y0BYpGeMdQH2odQ0iexX9Z3uADmXwBEeGwIrNqJTpRXll0Trw/zaUpHFcT7vQBLSjBJxMFIAZ8phCg1Yd+JV45zGEa3S9FrzJZaN0Rt8hgHjXsie6O/r1uCIZyvFANijhzHwqa+XQcKsIrOiw0I+Watgj1lNcy1QmVhDNn8tk4IekNy3hKUDl5uTsbBtJecpPL6Cde/S3TkNXMU9B+ek0WllAFTybS+3nTCbgQpwFKC2WP+aVL54JlxZa8bZwYGg7xIG5lBTcA3OCZclLKSJBI9jFXRV2vxw0YyyzQ504hzlP5pWfm++eS0PF+fe7W0MQRScHUudf5ARrvbBL4Xzp6aenJiFvLYTyDwtmuhkr9/vwHc5RzW0NBsDsLmjG3o6PUYDNjJp5K00STVpIffCaY4BSPP9lMWqI6Gt0KrLxvdGDz8Y23mZVgsZN9pl75noXtEVSOhnwWgrLYeEXrATFJlGZ+tP459SboThqd2VFnyN5HMMqJosD2S9gnVBxFtv04kvcvyHH34m2x99cndD7vZMfo3+KctvoT7b8G7y5cIyT6UXUtK+jNMSiJb9a045BQ+pKX4mVKUN6PAcOYgyUWCyPbdfKklFCQm5LK2yLQj+yswco/29GR07upQL11VBTR1RipWLjJDkFzFODbgttDJMtkpx25dfYU8EdKsTc2Xx17tF0tjFXdb9X1pDvcUV6xVP3q/7WJMjzEe5GDbnfo5NfmfY/elHlzKeYUR8uf8Xy7BHHbmvQ3123gFh8iKyPiFdICWsbwjCLjcOAvhp3+/mcnNqiqcB24ukZhJ1FiqkwxYHMou+qZxSu5TOKVVIxAPRYlWlZDH85+rpDfEdiNQwkGJ1ZphAT00MPMDWFXky8+5+vMLfUVhu+1i7pVa73uVMX2s+u4s46Pj3DHQw72rQtF8jS7RAFH3MikQeufn7O3j53KuTgKry2Rl9w8W8Uac92qy0ZCvjreFaWv2gN0czy7M8QOhQ6JtwZ0jrV9yGHuoTh0jhFz+IKsUH9FU2843q9UZTCS1BVnThyNoMvLU/gu0U84XtXOB2rsHPeq5nfUOD7sGw4AOuloIygjPT6tQY2X9cXhybctgl2Y6uL3eZ5kY2/PY+M6g57/HMntWCMmWhtxaAATfeHAQTosrHJxERRbspMPau29ckzmb7MumoKhDHt30C0qDyYR6FN7JmcqJPLz5HNXWjZed0VQavExHr0w774KsWz4YMYBrhbVs7JKMwn/kI/Vbb9+rI+XWvU0dt7zIB3JMbYzGY+jPhs1DVa1ShsUzaTUX/sEpfFSOyJeZyFmjLBlb26nUyYxKlnfEZiAhOfHQGwW/n3GTVltkkE5i5HH/UVbYvjWgFzhEKln+miFMphkl/8oGx1d1B3m2iR9MSFUqC/Hi/okNN6oYfC3auLxuziUFdHn4weIlwG4uIATVF3b5wXT6ev3JrTw9Bf4QWS1ohU6dKNMtoPdAQblX/tTict6WIw+s9kDbSWwrTwIPH+gaYpc7Cvp/5ZE4o5hWkpaT778SXjlWaey5o7dLdRS2pKuLDeDnhDhgLfgjzDqz0ch3IAUi+RZ4+KXonsq50oG2BiYQFCdhIlsUyBaSSh38/Zy6XSC4cIdbu1Cb+FGjWGQFQGguAVrGM0mypRmTp0STdDWuxbpl+AdEwrYOksnXXqbf1AVNTBDRQBIbZhM/safSiFRO0h1ggdvsCy2YjFAZzAi4Rqeeo2cz1LORtlTtpNyByKO9rQY+p1LkEd8S15co8+cdh2ty/QYULGNzRwWxw8oXVR8B2pL83iuE7I+8kbaXWtL5q0e+WrPe/yAtq1uq6+xJ0sBqXpwrF7VvZFYdFNTLLnypvM9cjFIcTPoqAtOrFGF20Ilks5DqvRmbVYsEgZtdtuSvWhWe8VTk/vv3UO+qyppLNBc8ZVUg1ddyCqdYpqB9KJNsNiOB1sKAYjHQ+MBqr22ehfDlnPSKgkx8QGcFzPWown1AZremvyc3eioXdir9m3HXDET5Z/WXuj2vkc/4U80O1uiPsj5xkSn4lQ6Vc+HumHGT5XEMLoHHD//dSgGo8tyPZZElNX3XYp03p36Fdxh0EaNYemSvDtX30/o6tjZMYWbHdlFU4IQuJvnQeG9cQJuPuvzMq/1Cz+UuU05u5bb3fzC2Pshy40YSS/g3rLX0w/1/IhP8/r6jj8mSiP3pOWATM6CsJDfOZkMlUXa1z55glBUSDfd36E2+iC5X8KGi0601ehVcNpoDFQazPPvV/7b7d3oBF+qS2RVc4IXQhq+OwKzZWc5QDLWfT3P3eR3rRtzoN8ThyLlhHvDwF2qogt7uawcrFvmEfGXiqX8+CL89Ysj7TfdIkHtQhCy5Ad0fZ/UiTkbnTVb4nsysIIy9htYdNmkiku9CuPKsfrxduzI+YPOUY09hbmzTZxXi47Q6/sFWp++7ALn06T0kl+tbJJ8dbYU4ut/VVlHNnUaTUk/jYpFh4zyW+otbgWYhhlstsVitoDlihsOcBTO80GQ7FrX9isOGcnbDZ8kF8oKMhfeqTeh863AyVfAHeC4DwSOr9w9D2ZChfsE6FeqN6AwY3wlFNv9W8q27T6Cv7HvwrddlT61Z4NDSn+igp5+rkmst/umGoRWYWHOvdN85BvnlpAw3MC3ji88XNRTsQ2FXrGBBzJhK7FvzE1gtfR+zTe+jJglTxWhglWaHujDZFsPBUu85iw6cmMvy+4m1qWUfYRp0+cTY5KRgYFBGDDrbSm615VFLbU3RaCpWxjJuEjUgn1AqNXAjUZlPK8SVMrErdCnDzusXHAzMArvxB+Gm3MAfpWGb/VCeobsTeDUHf9YU7gOkhDGOX5QmtVRe2h19/rEu1/LGaI/I1XzuBP88MtU5Qps5lqFhfLlk+MHGnr/XwCvEVDuTDE2BWFsSwEbNAodwHse91SOLeBklAj/dxNoyvRbDV3DKP0fI9psQ3lXohPHKGrqUlXzaLoIQsvE7fr9aTMJGhlR26J/gNdUjSNikJU5+LndBn5zxjN4VzynjFXBYfSR7uhO4E8+N2zy1Tc1JDAzIfsiqgmg4DQaObW+r7Qz+etYTA9QvrBmKGeWMsHoxCXcmWxYDDtWaVhSOZdRvnh27jPzqEOHlTnY6SDxssJC0+V/LzJwMrtlJCklZ5gRB8vFysrsc8/ZNIsqyWut+gpRB7+Ckt2EGrnPDGp7KMRAsjP+VpxfFjVuRip+gYAn90HsVMtCbV4FUv5R2ZpzyHsSt58etOxH/X4IiqW8xj1thigAqwXN3RlmxzrAsSsSbe/x7q9L2XZl2S1L8Pd2k0AkMRFuDYwR2fit6y0qKrmVWN2zR6r30QOnm9zbvPj6uBpHZNg1d/+1C8UkEO8u5NcJHI8ZOw51529pw7pK3BABKYLNJ2dM/9c8vAxxw/In09y9LW9zjvr0kLAKUDTA79W1lbkSzUpsOdXJQDsKffsTEiBVSHnCCFh3CfJeuYMdA55YhUVyxKJ795F13srdP1gVjzMgWxy81lLrv3YpnXiBVnO0T8771T8eia8uRd8ONAbLO7xu+qDu3U7Q/oxOsDo8BmyAuJnRn/JSN/w+cqiFcaXwph1PM+Fsg3Puqsd09VhJFVi86CCO64y2b2EwHnJl+ys0rbhIYcJ+ARthIno+Ro/2Mp9VjCOywp7XvT56Yej9PK1Tf15vgedip6DEh1tAaaSw09ilk+3rXxeWLTIu5mSennXpTEDPq+YXRikWh6NRoclGoH8eW0ULKMDnl+rqimt05ZV0K+58VDd3gLD9LGPzbEFOYpvkRy2RsFhy2+rS1kXJ0M7HYwbAC1jtVPVGpM4aZaNQD05pibW3qsWGxU3Uvby8ZbiKIupCsaTJfWUHrYQa0JfbLdcNIqiNyxNzDtzJd2hBFugjAwf1dlQoITXDJ+6PdSznaBwH8oAPNL0rox9BYOLh2B2OKOp4/BCQuih0RCnN2cD4bw9ectaDXIhV2Q2qgq6hRta97brviK8Y1LDzon26N3Y3aD2//cF2qHipQFubDFZrbUwc87W0+FGun+vyhF3hFJeeBAOovG6e4nLflTCjX1RXqy7NVm6y32VQxxV3GSOyFXa1B6FqsYa8INSmYWvP456wOlhiLWSqwq7xAUm77hxqna3u0k+TtRByIyGfotzkUjStJvhjOw4jVjISspnClkCZEnD+z+deEP5HT1p1bGNGL/ze/GaChzbr5XHbjzilGHnE2HLjp3JnhqH1McLhjQrJOZ95M4yv4Q3wrT/Q/9UL3ECbtG7zaFImgrxWScewO1iXdwyUpLHImyI9ugMzOvABMPhPWSfnQECwoGojdSwvMNmtYnOIgsHzzfMnCLJwjVxOnIpdZgFfMouhlc84D5VyJEXEWBd3vlJgyu+4u/yl+96k0nWj/lgy1i7uf8A/fEknQIylAyi7Ge12G+kjTqcXzK2aCrcSO9tNanVNNOr4+4jRwoWkamKygWyU4DaoJiVirB8hyiYyvgF53rrKxVpcwEvV97SBri0rul6SwVDoYG0ppKquB9rZzkJpcOz1ryYEA/3FtsYaPjpj65L4QsodiSD3spOp5KZ+psXsm9DFiWGjM2kazV5R1MVFtGbrJbS5HhAjg5mkyKPVoJ3tX31Ylf4fkENB3exdB3ld/OD18PFzOdsFrQ6SUib2slOVs+48F7aZLaWaQtnMkFtuLQ2LAEU5mShB1hDz3lptsalvZzzgxOOVZo9R+Y16n1N03TEjgszyLiXVpNvCcJESk4rPm7IDnY8TAG/XpClaGWwQybPfpxPp0ZPygNDuPDG6l1R+3nQk0w41GpgP15JtWdDkrnhBkdpqt/BRwLdrsyPpDe+z+u7091a5P81EGEVvfRamSNWdO4i5LevhBSEj9bi/IkoTtyr+vmUutEcZloXJGMQBUukYUA8OajOgvHvu1IX7WM/HmoDEtKQlqLDB4dd4RAjph78blhcnC/khpoulQk5o0Zon79mtEPYpYc32ixCA45n26UYw/2h2cFG584CaRTBraAe+O4mXok6WwjKO5eir35dJoJVnGkak2MTCa0z38X5K8IhRqOwzeLiWhGi7DDw3nedQ/qiS6blyyEvwIpKWiPRgabL2TrYZNRHnEu7+XEE0LA8yWr34P/YuMMvtsSszhh12HCsa537moaq2cmf5YNeDhA7bKSPvhBgwFN+/4xIbMIfqQOltTR09dRCmA8EftcL7bECQwSX1XApLLMDUAG747+/ipvPaf17UMyrdjVBgg5xyRLFn6GW4E1u3HTwj3G4hJNeIJ5ldNM5xqjwVYfcl0zk7dRHDcJWPvZDMKagnV2DVi3DzceDAgBgCa+WYBTfFjbhEIAtW0Nj7D/GjU9yNtvHVXqre/HG1H1ZXSKLHIBHjF5skaTSQJ/W5dMlc5mGsWCx/C/TChc6eMlNoE6uU2Ma6jtqe+Das7jxPTAThTIyMmVEW9vwDtnh2h71qwt+lSbsRliI9EgZBn0uTr1UChdqRGJubRUvL8K2uWF/lh7Y+qir1724quxR6pqxPlMJxkhNXeVXfHUy58NcQ2HaRNUs9fW1RRIxpZic2/Fy2vQV6snoz3IHb+2Igfp2YnKryBCF+li79CvkRL6STTB07wj1Y1+cqETublOUkIvKnfliHZxNLkfrdUJ1YKPuFFjsuLY+rZJ+c2kDPbVM9BXN7AbhNHPFFko0zSmTE1bBlI2peyfINySSnH6YcEwNwN01Z+CHX2wiRQeqQExoHRpJSCHQxKNR8Jy3os+9PMt4qr1C3Oeib2lmQHYuZFSjMHn6rRdoHmMDImDOXv4c8MIv/hz8V/gWvFtUaE1rOjJXZrGblzgH6gWE9Wt2HaFdFqhlzafY2E4Wa9HU7W2fDDg9k2ES/5UnzIef8Tw5i8fjNX0llmTV23STU62LswzAAvrAWkRCGjYXdNym52ghMWp+iWpfPexwzFFKZuPSPhbtruBvjS2rR/dwQURPrexFMMA+BmibZMZlmBJaiJH15EAL6kot7RreincryLrh3qvmT3FXlT7r4ynhJwMv74rdJwXaEkbrRV1BVRFN/Y1dxiKirDkkchxJTzD09CMSkFkjz6A00S1+u+E4PCqpKV9ClefMzTfSmvDBaE7TJYDFT8DJsNjNuPFVo4qSbVSg2SniElJkSWS+rVw7IOjV+iIRotwdhXof6YBALJM9NzJ/bnxhoCoFStz8eTN1JErNBSd5NspSbPuNxs6pOSBmFj3ngmxfJql07cXZ9pQU4WyFPVVxwRlo/2zdGTWLyCyMRrMXNiAwobyEuDj5huJvwCr1IDsLcDEKNFT8qjiZ9XR1in/UQtL4dEnBuLz0eX49HHpNNPkN6BKWockiEkvuPR9d4xP5QqJucbQUqLbHJ+f9qnTuGh9FCMhRsloTDWMlh849m+F53bmE98R0UOoRTRazAmpfmUtwBGMsmvKpJC16vAx9mfp4obl8goqR2f/W8e+XPfewA/XgjA4GwoRUR1tTgli/NYlekKGTQmeMGOPGZTZMTE/LQsEdW13AF8ZSsiByjrOy0lalJWoZo8N9frRPTZUF5CmuD9Q8UiNwzUHhmYfT1oKI/Tp53rEjgIKS+7NN2fzSukl4J/StCzuIcAGybYM4pBqchTEhVUqXzBIESCUDW8M69YgqpP/x3IhwIebjcBUz74rq/dqBbUQgksi87nIDQA+B4KoQFPLFVO3/n3h/J8fZd1SDV01+VZZOpXCx/nTVYUcQvRdgsBGvX/HorHpPZpZsXx7qJcvvBmBFI/oHcUjls/2vbZfmxvScy6HUSS7XQ6O+0SoIFvjdMpEvejF1g55M5JmASThQOMwzqqBnij5i31s+Z09x6S4weU3/sL37cNr4oxQG88sLZuCvpQU6kNmB+J5VBRENU7KWoMl/yWkIM6TIdAjabn8usguAOwdxGDZ3Mn81ifJOTXxF/24s6ZtRGJP+C0Wbdqn4uK8BFj1VtMDxIxs3sLqxaF/qUQbXU6aoIT4vVfrLZ077pIAwbf8d7av4mN1gGFOEJuDqb5cK7E0s8PhIoEjFanO7tb6xZA4G7A/mirXLsloqtZbZM7LZuEDxZA/ZRdihdTs4i/sFYs8MkzTPMr1Bgsa4LaPC1wsKvu53djXRepTplxKT29gZmYaqvUiDW7q/oP5qq+DGG4acFtNY/5WkMwVAHTVr+m9RQDsDzhn8/9DgqNB8DQflk7r5gXxqrBC+LwGG9GUsNSdyDXTPKkHe7A0eRt9fS1lgO2EI1n8UAJnb8MDwr6yAf+KN4Pz1uiDSpVcEj5j7K9YZ96Uc9iXHFHRWOYaYPDOa8ldb6S37h3HN2N9nxqFr7DWM42Gw6If93tJz4HNNiauLX+JnegNgB137heqUWmRfNIb6pRmJB8KD/S92fClXEEahm1G9f2g0mnpeyDJl5LCdtEgRyEveC8IyB/gkuSOVDcoqbXbOOzs7sOQvSPku+3UwQb8IC4eo4HML8bede2Ue3x3DhagvJ4SJSyi4XlnoLVykmZ1gb6X6dovOaXQrXlFdrmSfsI4Wp07al8KE4z2AXjK/B1tuWubGjq6e1UgL389813OFa6tGHrbkgULhuOWmCDvTNuRdGzAMnk+Iu+hQzNdiXyjK4XJSXmiHqXDRksCRe0YiAT0rBaG/VUqtmAHF1RHXv7+73DP7eKffb3vTkbZ+RC8gQm2T7rQTdS11ck8tmanLYFWJuUOHVuZSLdZZ7TxO2hDo5G1qmmdVUKUmWxG5pAp6g1nqDocvCcOcje016GdO8bG9o7OHRAWOpWyOWffM3rw1WjpNHx5dmhfiV8wVKspWA87HgN08pAyajIjLyZeyD3HM3gUHA1eZUtfB+dGJzJ/AukgGi8k36itj9O9BMUx6fZXSTnsF4NGkxSnrZWPX+yIV7TTtWxd+CRR4RBAdJwOq4OWIShu2xobuJf0TEDGIO6rM10+0RCjwoTMtHN8Vq5TfqxqMxjNQMzXMqNBDZno3fy24AsL8jvvB4K8ik49DnXWbhQgb8b/ZPBxP7q1l+KcPOPxYSkHtUgB/1fIDflGDUkIMU8EUBiPdvuNGCFw3tZL7mwGjiIJAZ8CTKKnrrEucuhIVLFZPXOTPI3nzRTooEvD1ZQLC9IOVUadtYULYe4PG5iYUvMp3u7jRki26IeDMj9XiK7PaIIcuK0gjN4l5kFkk7KyhtMMOZWZGZOxaaNTmGQp7/ZuHCyE52yMXxvtGBH+hNGysa68+apmUN0PGEc6j0ouC/CaMZ+uveT3ZW3e7c/czOPzQC8+k/g5bI70XltfRZOO3vC3pQr2gYtoHkK4qcIrVSblChP31o2ytfqwqXDEI39o8q3UcU74d5VXflesaRe4es5X8bwaqjP8+iLApKaq9sVeI5mUfRz+CeG6MOJbA20KZnpiWFkw+Wy0WwwbC4JeZAC403ORm0dK4KkqgOUvydQGoqv5bnJq7D6vbadGuKGWZIC7MB7UVyIgXgBz1Hxed4RHBNpvzuIhZpPqWAWRPu7DWIkMdm/kzSMkXdPZGeESr5sMydwXbxowBIUcD7O4Z/wHGGXrsVOhG+OvrUhD2Xz6la+6dsjtrwBWRVDjIvIVnhcTKExourbwziznU9cs8lE+EalTQZ7cM/rryTBofSpcYqImDPAe2A8phywCaiAZrH/k+B8ljSf+PRPq7U4XuyGFTfd2Qbvm8fA2SRvpuvbNZqeuYcgxSb2xahr+crppNYfP0Q1y6jE80QGoy2OxvEVZ8s0HFJn9C0P72jFsdRM34JT2ocDNh4/JKwjdlPXTZ0jAE7cxCsEU41ije9UyMOs88J5TPPZbNWKARV/PlNHsRkFj8BHJyqbJS1zZEFvnR9YrVudSTcsN1dmoLX67VSEixxA9RTZL6Q+LaINbEjKFU81f2huFTUbEZfzr/r+YDVI6MywXYuA0P/eHuLoOasMTpHovqLUNbcvkkNBj2CvgplbmRzdHJlYW0KZW5kb2JqCjEzIDAgb2JqCjw8IC9CYXNlRm9udCAvQ01TUzEyIC9GaXJzdENoYXIgMCAvRm9udERlc2NyaXB0b3IgMTQgMCBSIC9MYXN0Q2hhciAxMjcKL1N1YnR5cGUgL1R5cGUxIC9UeXBlIC9Gb250IC9XaWR0aHMgMTIgMCBSID4+CmVuZG9iagozIDAgb2JqCjw8IC9GMSAxMyAwIFIgPj4KZW5kb2JqCjQgMCBvYmoKPDwgL0ExIDw8IC9DQSAwIC9UeXBlIC9FeHRHU3RhdGUgL2NhIDEgPj4KL0EyIDw8IC9DQSAwLjUgL1R5cGUgL0V4dEdTdGF0ZSAvY2EgMSA+PgovQTMgPDwgL0NBIDEgL1R5cGUgL0V4dEdTdGF0ZSAvY2EgMSA+PiA+PgplbmRvYmoKNSAwIG9iago8PCA+PgplbmRvYmoKNiAwIG9iago8PCA+PgplbmRvYmoKNyAwIG9iago8PCA+PgplbmRvYmoKMiAwIG9iago8PCAvQ291bnQgMSAvS2lkcyBbIDEwIDAgUiBdIC9UeXBlIC9QYWdlcyA+PgplbmRvYmoKMTYgMCBvYmoKPDwgL0NyZWF0aW9uRGF0ZSAoRDoyMDIxMDcyNjExNTgyMyswMicwMCcpCi9DcmVhdG9yIChNYXRwbG90bGliIHYzLjMuMywgaHR0cHM6Ly9tYXRwbG90bGliLm9yZykKL1Byb2R1Y2VyIChNYXRwbG90bGliIHBkZiBiYWNrZW5kIHYzLjMuMykgPj4KZW5kb2JqCnhyZWYKMCAxNwowMDAwMDAwMDAwIDY1NTM1IGYgCjAwMDAwMDAwMTYgMDAwMDAgbiAKMDAwMDAyNTc3OSAwMDAwMCBuIAowMDAwMDI1NTQ0IDAwMDAwIG4gCjAwMDAwMjU1NzYgMDAwMDAgbiAKMDAwMDAyNTcxNiAwMDAwMCBuIAowMDAwMDI1NzM3IDAwMDAwIG4gCjAwMDAwMjU3NTggMDAwMDAgbiAKMDAwMDAwMDA2NSAwMDAwMCBuIAowMDAwMDAwNDA3IDAwMDAwIG4gCjAwMDAwMDAyMDggMDAwMDAgbiAKMDAwMDAwMjg1NyAwMDAwMCBuIAowMDA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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": 13,
   "metadata": {},
   "outputs": [
    {
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       "\" style=\"fill:#ffffff;opacity:0.8;stroke:#000000;stroke-linejoin:miter;\"/>\n",
       "    </g>\n",
       "    <g id=\"line2d_24\">\n",
       "     <path d=\"M 290.241491 27.616982 \n",
       "L 318.241491 27.616982 \n",
       "\" style=\"fill:none;stroke:#107d79;stroke-linecap:square;stroke-width:2;\"/>\n",
       "    </g>\n",
       "    <g id=\"line2d_25\"/>\n",
       "    <g id=\"text_18\">\n",
       "     <!-- true-std -->\n",
       "     <g transform=\"translate(329.441491 32.516982)scale(0.14 -0.14)\">\n",
       "      <use transform=\"scale(0.996264)\" xlink:href=\"#CMSS17-116\"/>\n",
       "      <use transform=\"translate(33.831567 0)scale(0.996264)\" xlink:href=\"#CMSS17-114\"/>\n",
       "      <use transform=\"translate(65.741339 0)scale(0.996264)\" xlink:href=\"#CMSS17-117\"/>\n",
       "      <use transform=\"translate(113.946282 0)scale(0.996264)\" xlink:href=\"#CMSS17-101\"/>\n",
       "      <use transform=\"translate(155.585104 0)scale(0.996264)\" xlink:href=\"#CMSS17-45\"/>\n",
       "      <use transform=\"translate(186.814217 0)scale(0.996264)\" xlink:href=\"#CMSS17-115\"/>\n",
       "      <use transform=\"translate(222.727759 0)scale(0.996264)\" xlink:href=\"#CMSS17-116\"/>\n",
       "      <use transform=\"translate(256.559326 0)scale(0.996264)\" xlink:href=\"#CMSS17-100\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"line2d_26\">\n",
       "     <path d=\"M 290.241491 48.166357 \n",
       "L 318.241491 48.166357 \n",
       "\" style=\"fill:none;stroke:#ff9933;stroke-linecap:square;stroke-width:2;\"/>\n",
       "    </g>\n",
       "    <g id=\"line2d_27\"/>\n",
       "    <g id=\"text_19\">\n",
       "     <!-- sample-std -->\n",
       "     <g transform=\"translate(329.441491 53.066357)scale(0.14 -0.14)\">\n",
       "      <use transform=\"scale(0.996264)\" xlink:href=\"#CMSS17-115\"/>\n",
       "      <use transform=\"translate(35.913542 0)scale(0.996264)\" xlink:href=\"#CMSS17-97\"/>\n",
       "      <use transform=\"translate(80.835463 0)scale(0.996264)\" xlink:href=\"#CMSS17-109\"/>\n",
       "      <use transform=\"translate(155.064717 0)scale(0.996264)\" xlink:href=\"#CMSS17-112\"/>\n",
       "      <use transform=\"translate(203.26966 0)scale(0.996264)\" xlink:href=\"#CMSS17-108\"/>\n",
       "      <use transform=\"translate(225.450383 0)scale(0.996264)\" xlink:href=\"#CMSS17-101\"/>\n",
       "      <use transform=\"translate(267.089205 0)scale(0.996264)\" xlink:href=\"#CMSS17-45\"/>\n",
       "      <use transform=\"translate(298.318318 0)scale(0.996264)\" xlink:href=\"#CMSS17-115\"/>\n",
       "      <use transform=\"translate(334.23186 0)scale(0.996264)\" xlink:href=\"#CMSS17-116\"/>\n",
       "      <use transform=\"translate(368.063427 0)scale(0.996264)\" xlink:href=\"#CMSS17-100\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "  </g>\n",
       " </g>\n",
       " <defs>\n",
       "  <clipPath id=\"p77e2eb3205\">\n",
       "   <rect height=\"244.62\" width=\"202.909091\" x=\"34.150582\" y=\"9.27917\"/>\n",
       "  </clipPath>\n",
       "  <clipPath id=\"pe04e310cfa\">\n",
       "   <rect height=\"244.62\" width=\"202.909091\" x=\"277.641491\" y=\"9.27917\"/>\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": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
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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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