{
  "cells": [
    {
      "cell_type": "markdown",
      "id": "0",
      "metadata": {},
      "source": [
        "# A5 Segments in Vgrid DGGS\n",
        "\n",
        "[![image](https://colab.research.google.com/assets/colab-badge.svg)](https://colab.research.google.com/github/opengeoshub/vgrid/blob/main/docs/notebooks/25_a5_segments.ipynb)\n",
        "[![image](https://mybinder.org/badge_logo.svg)](https://mybinder.org/v2/gh/opengeoshub/vgrid/HEAD?filepath=docs/notebooks/25_a5_segments.ipynb)\n",
        "[![image](https://studiolab.sagemaker.aws/studiolab.svg)](https://studiolab.sagemaker.aws/import/github/opengeoshub/vgrid/blob/main/docs/notebooks/25_a5_segments.ipynb)\n",
        "[![image](https://jupyterlite.rtfd.io/en/latest/_static/badge.svg)](https://jupyterlite.gishub.vn/lab/index.html?path=notebooks/vgrid/25_a5_segments.ipynb)\n",
        "\n",
        "Full Vgrid DGGS documentation is available at [vgrid document](https://vgrid.gishub.vn).\n",
        "\n",
        "To work with Vgrid DGGS directly in GeoPandas and Pandas, please use [vgridpandas](https://pypi.org/project/vgridpandas/). Full Vgridpandas DGGS documentation is available at [vgridpandas document](https://vgridpandas.gishub.vn).\n",
        "\n",
        "To work with Vgrid DGGS in QGIS, install the [Vgrid Plugin](https://plugins.qgis.org/plugins/vgridtools/).\n",
        "\n",
        "To visualize DGGS in Maplibre GL JS, try the [vgrid-maplibre](https://www.npmjs.com/package/vgrid-maplibre) library.\n",
        "\n",
        "For an interactive demo, visit the [Vgrid Homepage](https://vgrid.vn)."
      ]
    },
    {
      "cell_type": "markdown",
      "id": "1",
      "metadata": {},
      "source": [
        "### Install vgrid\n",
        "Uncomment the following line to install [vgrid](https://pypi.org/project/vgrid/)."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "id": "2",
      "metadata": {},
      "outputs": [],
      "source": [
        "# %pip install vgrid --upgrade"
      ]
    },
    {
      "cell_type": "markdown",
      "id": "3",
      "metadata": {},
      "source": [
        "### A5 Segments\n",
        "\n",
        "Evaluate how `a52geo` cell area changes with the `segments` option (`1, 10, 100, ..., 1000000`).\n",
        "\n",
        "Higher segment counts can be slow (especially `1000000`)."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 2,
      "id": "4",
      "metadata": {},
      "outputs": [
        {
          "name": "stderr",
          "output_type": "stream",
          "text": [
            "A5 segments: 100%|██████████| 7/7 [01:10<00:00, 10.02s/ value]\n"
          ]
        },
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "Saved 7 rows to D:\\Github\\vgrid\\docs\\notebooks\\a5_segments.parquet\n"
          ]
        },
        {
          "data": {
            "text/html": [
              "<div>\n",
              "<style scoped>\n",
              "    .dataframe tbody tr th:only-of-type {\n",
              "        vertical-align: middle;\n",
              "    }\n",
              "\n",
              "    .dataframe tbody tr th {\n",
              "        vertical-align: top;\n",
              "    }\n",
              "\n",
              "    .dataframe thead th {\n",
              "        text-align: right;\n",
              "    }\n",
              "</style>\n",
              "<table border=\"1\" class=\"dataframe\">\n",
              "  <thead>\n",
              "    <tr style=\"text-align: right;\">\n",
              "      <th></th>\n",
              "      <th>a5_id</th>\n",
              "      <th>resolution</th>\n",
              "      <th>segments</th>\n",
              "      <th>cell_area</th>\n",
              "      <th>norm_area</th>\n",
              "      <th>area_error</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>0</th>\n",
              "      <td>6361180000000000</td>\n",
              "      <td>8</td>\n",
              "      <td>1</td>\n",
              "      <td>5.188960e+08</td>\n",
              "      <td>1.000059</td>\n",
              "      <td>5.855149e-03</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1</th>\n",
              "      <td>6361180000000000</td>\n",
              "      <td>8</td>\n",
              "      <td>10</td>\n",
              "      <td>5.188659e+08</td>\n",
              "      <td>1.000001</td>\n",
              "      <td>5.855145e-05</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2</th>\n",
              "      <td>6361180000000000</td>\n",
              "      <td>8</td>\n",
              "      <td>100</td>\n",
              "      <td>5.188656e+08</td>\n",
              "      <td>1.000000</td>\n",
              "      <td>5.855412e-07</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>3</th>\n",
              "      <td>6361180000000000</td>\n",
              "      <td>8</td>\n",
              "      <td>1000</td>\n",
              "      <td>5.188656e+08</td>\n",
              "      <td>1.000000</td>\n",
              "      <td>5.860601e-09</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>4</th>\n",
              "      <td>6361180000000000</td>\n",
              "      <td>8</td>\n",
              "      <td>10000</td>\n",
              "      <td>5.188656e+08</td>\n",
              "      <td>1.000000</td>\n",
              "      <td>9.974244e-11</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>5</th>\n",
              "      <td>6361180000000000</td>\n",
              "      <td>8</td>\n",
              "      <td>100000</td>\n",
              "      <td>5.188656e+08</td>\n",
              "      <td>1.000000</td>\n",
              "      <td>7.109979e-10</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>6</th>\n",
              "      <td>6361180000000000</td>\n",
              "      <td>8</td>\n",
              "      <td>1000000</td>\n",
              "      <td>5.188656e+08</td>\n",
              "      <td>1.000000</td>\n",
              "      <td>1.697442e-09</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>"
            ],
            "text/plain": [
              "              a5_id  resolution  segments     cell_area  norm_area  \\\n",
              "0  6361180000000000           8         1  5.188960e+08   1.000059   \n",
              "1  6361180000000000           8        10  5.188659e+08   1.000001   \n",
              "2  6361180000000000           8       100  5.188656e+08   1.000000   \n",
              "3  6361180000000000           8      1000  5.188656e+08   1.000000   \n",
              "4  6361180000000000           8     10000  5.188656e+08   1.000000   \n",
              "5  6361180000000000           8    100000  5.188656e+08   1.000000   \n",
              "6  6361180000000000           8   1000000  5.188656e+08   1.000000   \n",
              "\n",
              "     area_error  \n",
              "0  5.855149e-03  \n",
              "1  5.855145e-05  \n",
              "2  5.855412e-07  \n",
              "3  5.860601e-09  \n",
              "4  9.974244e-11  \n",
              "5  7.109979e-10  \n",
              "6  1.697442e-09  "
            ]
          },
          "execution_count": 2,
          "metadata": {},
          "output_type": "execute_result"
        }
      ],
      "source": [
        "from vgrid.stats.a5_segments import a5_segments\n",
        "\n",
        "a5_segments_gdf = a5_segments(\n",
        "    a5_id=\"6361180000000000\",\n",
        "    # segments=[1, 10, 100, 1000],  # optional smaller set for a quick run\n",
        "    output=\"a5_segments.parquet\",\n",
        ")\n",
        "a5_segments_gdf[\n",
        "    [\"a5_id\", \"resolution\", \"segments\", \"cell_area\", \"norm_area\", \"area_error\"]\n",
        "]\n"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 2,
      "id": "feebc844",
      "metadata": {},
      "outputs": [],
      "source": [
        "a5_segments_gdf.drop(columns=\"geometry\").to_csv(\"a5_segments.csv\", index=False)"
      ]
    },
    {
      "cell_type": "markdown",
      "id": "5",
      "metadata": {},
      "source": [
        "### Plot cell area by segments"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 3,
      "id": "6",
      "metadata": {},
      "outputs": [
        {
          "data": {
            "image/png": 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U/7ai9PgXvT1YunSp+a7pd9NRRqU5RgAiQ5T+E+jgJtzoL42FO2vqr/7a1MExsZDS5kbuOvbpqC/6S5D+CqnNlYqjNQ7axEJ/+dKRnRy07bI2RdLl+uuVg9Y46IRMTzzxhGn2pDPWau2I1jIobRKlNRq6Tn9t0mZRv/vd70ytirsRS/TXUv1lU3+h0lldHe68804zvKbWkABAMNCmZtr2X5sj6a/5wULzpDUKOkwsAIQ6mkL5gVYT66NwNbI2RfI0rGBhOmOso+mSr7Tdq3IEDA763jFiiKbR94U75TneO9JoNbrOtusp35mZmaYZQ9H9aFMDK0d1AYCy0iaaOvJU4R94ypNeK/X6WvgHJf1xSAMebUYHAOGAwCKAtP2yTtyktQ7a50Hf67j32rHQ0RdCO2tqG1b9la179+5mmY4Rrg/HaCLa+U8/r7UIGtDoMJH6eR3dRUdc0cBG/1PV9suOmgWtidB23aNHjzZDTGogoB1N9T89R0fTxx9/3LQl146qWguhI0FpoKG/rDnaSWt/C92O7kNHPtHOiJrXsvQRAQCrfPXVV+a6pfP/6LXMMaJdedNruY7SpNd37cyttdLaf0b73xSdoA4AQlag22JFgv79+5t2sEVp3wdtj+poA9u2bVv7888/79K/wtHetnDbaEf716KPwvvQ9rbaljg5OdlepUoV+4UXXmj/9ttvXfY/a9Yse+/evc3+ta32wIEDTV+Lou2Sf/e735n21tqGtlOnTqYPicPBgwdNu9169eqZv6F169b2SZMmmX4eABBo2j9Er01XXnmlPTMzM2D5OH78uP26665z9qHRa+61115r3759e8DyBABWo48FAAAAgDJjHgsAAAAAZUYfC4toH4UDBw6Yvg7+mhUXAAAAKE86gKzO7aT9w4oO2FMUgYVFNKho2LChVZsDAAAAgsavv/5qJkQuDoGFRbSmwnHQC88dUbRWIy0tzYxZXjTi87TO3XJvl5Unq/bv63a8/VxJ6awqo2AsJyv37cu2rCqjktJwLvleRlaWE+eStcfbH2VkZTkF2/UunMrJlzKKxHLyZxkF+ppnC3AZ6fQC+uO54163OAQWFnE0f9KgorjAIjs726x396Vzt87dcm+XlSer9u/rdrz9XEnprCqjYCwnK/fty7asKqOS0nAu+V5GVpYT55K1x9sfZWRlOQXb9S6cysmXMorEcvJnGQX6mmcLcBk5eNPUn87bAAAAAMqMwAIAAABAmRFYAAAAACgzAgsAAAAAZUZgAQAAAKDMCCwAAAAAlBmBBQAAAIAyI7AAAAAAUGYEFgAAAADKjMACAAAAQJkRWAAAAAAoMwKLMFBgs8vynUdl1pZj5lnfAwAAAOUptlz3BsvN3HhQxn/1sxzMyD67ZJfUTUqUpy9vJ5d0qMsRBwAAQLmgxiKEzdx4SO7574+FgoozDmVkm+UadAAAAADlgcAiRGlzp2e/3izuGj05lmlNBs2iAAAAUB4ILELUuv0n5FCma01F0eBCazJW7jpWrvkCAABAZCKwCFFHT+Z5lS41y3PwAQAAAFiFwCJE1agU51W6WlUS/Z4XAAAAgMAiRJ1Xv7LUqZooUR7W63IdHap70+RyzhkAAAAiEYFFiIqJjpJxv29rXnsKLnTIWU0HAAAA+BuBRQi7pEMdefuWLlInybW5U+WEWLOceSwAAABQXpggL8Rp8PC7dnVkxc4jMn3FTvnipyPSKLkCQQUAAADKFTUWYUCbO13YrIaM6llPoqJEfj6YZSbJAwAAAMoLgUUYSa4YJ53qJ5nX87amBjo7AAAAiCABDyyysrLkoYceksaNG0uFChWkV69esmrVKuf62267TaKiolwel1xyics2jh07JjfffLNUrVpVqlWrJnfccYecOHHCJc2GDRukb9++kpiYKA0bNpQXX3zxnLxMnz5d2rRpY9J07NhRvv32Wwk1A9vUMs9ztxBYAAAAIIICizvvvFNmz54tH330kfz0008yePBgufjii2X//v3ONBpIHDx40Pn4+OOPXbahQcWmTZvMdr7++mtZuHCh3HXXXc71mZmZZrsavKxZs0ZeeukleeaZZ+Sdd95xplm6dKnceOONJihZu3atXHXVVeaxceNGCSUDWqeY5yXbj0hOfkGgswMAAIAIEdDO26dPn5bPP/9c/u///k/69etnlukN/1dffSVvv/22PPfcc2ZZQkKC1KlTx+02Nm/eLDNnzjS1HN26dTPLXn/9dbn00kvl5Zdflnr16smUKVMkNzdX3n//fYmPj5f27dvLunXr5JVXXnEGIK+99poJYMaOHWveT5gwwQQqb7zxhkyePPmc/ebk5JhH4eBF2Ww283BHl9vtdrfrPa1zt7y4ZW3rVJZaVRIkNStHlu84In1bngk0/K24v608tuPt50pKZ1UZeVpu1XHyhZX79mVbVpVReZ1LgSgjK/fPueQ/nEuRdS75uq1A/r8UieXkzzIK9P2DLQjKKCQCi/z8fCkoKDBNjwrTJlGLFy92vp8/f77UqlVLqlevLgMHDjQBR40aNcy6ZcuWmeZPjqBCaY1HdHS0rFixQoYNG2bSaOCiQYXDkCFD5IUXXpD09HSzXU0zZswYl3xomhkzZrjN+8SJE2X8+PHnLE9LS5Ps7GyPBZORkWG+HJo/b9a5W17Ssh6NKstXm3Lkm7V7pXWSXcpDcX9beWzH28+VlM6qMvK03Krj5Asr9+3Ltqwqo/I8l8q7jKzcP+eS/3AuRda55Ou2Avn/UiSWkz/LKND3D7YAl5F2WwiJwKJKlSrSs2dPUzvQtm1bqV27tmnmpDf5LVq0MGm0FuHqq6+Wpk2byo4dO+Spp56SoUOHmjQxMTFy6NAhE3QUFhsbK8nJyWad0mf9fGG6L8c6DSz02bGscBrHNop68sknXQIRrbHQvhspKSmmr4c7+sXQPiKaxt2Xzt06d8tLWnbpeSJfbToqK/aeMO91ub8V97eVx3a8/VxJ6awqI0/LrTpOvrBy375sy6oyKs9zKVD/yXIucS5Z8R3hXAqPa54v1ztP67jm+V6ugbx/sAX4/6WiFQBBPY+F9q24/fbbpX79+iZQ6NKli+nroH0h1A033OBMqx2qO3XqJM2bNze1GIMGDQpYvrV5lj6K0gIvrtD1i+Epjad17pYXt6xvq1oSFxMle46dkt3HTkvzlMpSHor728pjO95+rqR0VpWRp+VWHSdfWLlvX7ZlVRmV17kUiDKycv+cS/7DuRRZ55Kv2wrk/0uRWE7+LKNA3z9EBbCMSrPPgHfe1iBhwYIFZhSnX3/9VVauXCl5eXnSrFkzt+l1ec2aNWX79u3mvfa9SE1NPaeJlY4U5eiXoc+HDx92SeN4X1IaT307gpnOvN2j6ZmmYvMYHQoAAADlIOCBhUOlSpWkbt26ps/D999/L1deeaXbdPv27ZOjR4+atEqbUh0/ftxZw6Hmzp1rqo169OjhTKMjRWnA4qAds1u3bm2aQTnSzJkzx2VfmkaXh6IBDDsLAACASAosNIjQUZ127dplbuQHDBhg5pIYOXKkqcXQUZqWL18uu3fvNjf+GnBo/wvtWK20b4b2wxg1apSp7ViyZIncd999pgmVjgilbrrpJtNxW4eS1WFpp02bZkaBKtxH4sEHHzT5mDRpkmzZssWMTrV69WqzrVDkmM9i5a5jkpn9W0AFAAAAhGVgob3cR48ebYKJW2+9Vfr06WOCjbi4ONPnQie2u+KKK6RVq1YmMOjatassWrTIpX+DDiern9c+FzrMrG6j8BwVSUlJMmvWLBO86OcfeeQRGTdunMtcFzox39SpU83nOnfuLJ999pkZEapDhw4SiprWrGQe+Ta7LP7lSKCzAwAAgDAX8M7b1113nXm4o8POapBREh0BSoOC4minbw1IijN8+HDzCBdaa/GvxbvMLNyXdjzTdAwAAAAIyxoL+L851PytqWKzlc98FgAAAIhMBBZh7IImyWaEqCMncuWn/RmBzg4AAADCGIFFGIuPjZY+LWqa19ocCgAAAPAXAosIaQ41byuBBQAAAPyHwCLMXdQmxTxv2JchqVnZgc4OAAAAwhSBRZirVSVROtZPMq/nb00LdHYAAAAQpggsIoBzFu7NNIcCAACAfxBYRFA/i8Xbj0huvi3Q2QEAAEAYIrCIAJ3qJ0nNyvFyIidfVu0+FujsAAAAIAwRWESA6Ogouaj12eZQDDsLAAAAPyCwiLRhZwksAAAA4AcEFhGiT8uaEhsdJTuPnJTdR04GOjsAAAAIMwQWEaJqYpxc0CTZvKY5FAAAAKxGYBFBmIUbAAAA/kJgEYHzWazYeUxO5uQHOjsAAAAIIwQWEaR5SiVplFxRcgtsZk4LAAAAwCoEFhEkKirK2RyKWbgBAABgJQKLCO5nYbfbA50dAAAAhAkCiwjTo1myVIyPkdSsHNl0IDPQ2QEAAECYILCIMAmxMdK7RU3zmmFnAQAAYBUCiwjk7GfBLNwAAACwCIFFBBrQ+kxgsX7fcTl6IifQ2QEAAEAYILCIQHWSEqVd3aqifbfnb00LdHYAAAAQBggsIr051NbUQGcFAAAAYYDAIsJn4V64LU3yCmyBzg4AAABCHIFFhDqvYTVJrhQvWdn5snp3eqCzAwAAgBBHYBGhYqKjpH+rFOdkeQAAAEBZEFhEMIadBQAAgFUILCJYv1YppuZie+oJ+fXYqUBnBwAAACGMwCKCJVWIk66Nq5vXTJYHAACAsiCwiHA0hwIAAIAVCCwinCOwWLbzqJzKzQ90dgAAABCiCCwiXMtalaV+tQqSm2+TpduPBjo7AAAACFEEFhEuKiqKWbgBAABQZgQWcAYW87akit1u54gAAACg1AgsID2b15DEuGg5mJEtmw9mcUQAAABQagQWkMS4GOndvKY5EszCDQAAAF8QWMAYcLY5FPNZAAAAwBcEFnAJLNbuTZf0k7kcFQAAAJQKgQUMHXK2TZ0qYrOLLNiWxlEBAABAqRBYwInmUAAAAPAVgQXOGXZWayzyC2wcGQAAAHiNwAJO5zesJkkV4iTjdJ6s/fU4RwYAAABeI7CAU2xMtPRvlWJeMzoUAAAASoPAAm6bQ83dnMqRAQAAAIEFfKM1FtFRIlsPZ8n+46c5jAAAAPAKNRZwUb1SvHRpVN28pjkUAAAAvEVgAY/Dzs7bQnMoAAAAhEhgkZWVJQ899JA0btxYKlSoIL169ZJVq1Y519vtdhk3bpzUrVvXrL/44ovll19+cdnGsWPH5Oabb5aqVatKtWrV5I477pATJ064pNmwYYP07dtXEhMTpWHDhvLiiy+ek5fp06dLmzZtTJqOHTvKt99+K5Hcz2LpjiOSnVcQ6OwAAAAgBAQ8sLjzzjtl9uzZ8tFHH8lPP/0kgwcPNsHD/v37zXoNAP7xj3/I5MmTZcWKFVKpUiUZMmSIZGdnO7ehQcWmTZvMdr7++mtZuHCh3HXXXc71mZmZZrsavKxZs0ZeeukleeaZZ+Sdd95xplm6dKnceOONJihZu3atXHXVVeaxceNGiTQ6A3fdpETJzrPJsh1HA50dAAAAhICABhanT5+Wzz//3AQP/fr1kxYtWpgbfn1+++23TW3Fq6++Kn/+85/lyiuvlE6dOsmHH34oBw4ckBkzZphtbN68WWbOnCnvvfee9OjRQ/r06SOvv/66fPLJJyadmjJliuTm5sr7778v7du3lxtuuEEeeOABeeWVV5x5ee211+SSSy6RsWPHStu2bWXChAnSpUsXeeONNyTSREVFMQs3AAAASiVWAig/P18KCgpM06PCtMnT4sWLZdeuXXLo0CFTg+GQlJRkAohly5aZAEGftflTt27dnGk0fXR0tKnhGDZsmEmjgUt8fLwzjdZ6vPDCC5Keni7Vq1c3acaMGeOSD03jCGCKysnJMY/CtSLKZrOZhzu6XIMld+s9rXO33NtlZTGgVU2ZumKv6cD9TEGBCTaKY9X+fd2Ot58rKZ1VZVRe5VQaVu7bl21ZVUahdi6VFucS55JV3xHOpfC45vlyvfO0jmue7+UayPsHWxD8vxQSgUWVKlWkZ8+epnZAawlq164tH3/8sbnJ11oLDSqULi9M3zvW6XOtWmf6BDjExsZKcnKyS5qmTZuesw3HOg0s9Lm4/RQ1ceJEGT9+/DnL09LSXJppFS2YjIwM8+XQwMebde6We7usLFpUtUl8TJQZcnbFlr3SrEaFYtNbtX9ft+Pt50pKZ1UZlVc5lYaV+/ZlW1aVUaidS6XFucS5ZNV3hHMpPK55vlzvPK3jmud7uQby/sEW4P+XtD90SAQWSvtW3H777VK/fn2JiYkxzY+0r4P2hQhmTz75pEsNh9ZYaKfwlJQU04ncHf1i6C//msbdl87dOnfLvV1WVj2b75MF247IutR8ubCta/BWmr+tNHzdjrefKymdVWVUnuXkLSv37cu2rCqjUDyXSoNziXPJqu8I51J4XPN8ud55Wsc1z/dyDeT9gy3A/y8VbVkU1IFF8+bNZcGCBXLy5Elzc66jP11//fXSrFkzqVOnjklz+PBhs9xB35933nnmtaZJTU09p4mVjhTl+Lw+62cKc7wvKY1jfVEJCQnmUZQWeHGFrl8MT2k8rXO33NtlZTGwTW0TWMzfekTuHdCyxPRW7d/X7Xj7uZLSWVVG5VVOpWHlvn3ZllVlFGrnUmlxLnEuWfUd4VwKj2ueL9c7T+u45vleroG8f4gK4P9LpdlnwEeFctDRnjR40D4P33//vemsrc2X9MZ+zpw5znQafGjfCW1CpfT5+PHjLjUcc+fONdGd9sVwpNGRovLy8pxpdASp1q1bm2ZQjjSF9+NI49hPJA87u2ZvumSc+u3YAQAAAEEXWGgQoaM6aUdtvZEfMGCAmUti5MiRJjrTOS6ee+45+fLLL81wtLfeeqvUq1fPDAWrtG+GjuY0atQoWblypSxZskTuu+8+07Fb06mbbrrJdNzWoWR1WNpp06aZUaAKN2V68MEHTT4mTZokW7ZsMaNTrV692mwrUjVMrigta1WWAptdFvySFujsAAAAIIgFPLDQziijR482wYQGDTpcrAYbcXFxZv1jjz0m999/v5mX4oILLjAT32kAULi9lw4nq58fNGiQXHrppWYbheeo0JGkZs2aZYKXrl27yiOPPGIm3Ss814VOzDd16lTzuc6dO8tnn31mRoTq0KGDRDJHrQWzcAMAACCo+1hcd9115uGJ1lo8++yz5uGJjgClQUFxdA6MRYsWFZtm+PDh5oHfDGhTS/65cKfM35pqai5ioosfdhYAAACRKeA1FghuXRtXlyqJsZJ+Kk/W/Xo80NkBAABAkCKwQLHiYqKlX6sU85rmUAAAAPCEwAIlGtj6TD8LnYUbAAAAcIfAAiW6qHWKREWJ/HwwUw5luJ9VHAAAAJGNwAIlqlE5QTo3qGZeU2sBAAAAdwgsUKphZwksAAAA4A6BBUoVWCzZfkSy8wo4agAAAHBBYAGvtK9XVWpXTZDTeQWyYtcxjhoAAABcEFjAKzpR4YCzo0Mx7CwAAACKIrBAqWbhdvSzsNvtHDkAAAA4EVjAa31a1JT4mGjZe+yU7Eg7yZEDAACAE4EFvFYpIVZ6NEs2r2kOBQAAgMIILFAqjn4WDDsLAACAwggs4NOws6t2H5PM7DyOHgAAAAwCC5RKk5qVpFnNSpJvs8uibUc4egAAADAILFBqzMINAACAoggs4HNgsWBbqthsDDsLAAAAAgv4oFuTZKmcECtHTuTKhv0ZHEMAAABQY4HSi4+Nlr4ta5rXjA4FAAAARVMolGkWbuazAAAAAIEFfHZR6xTz/NP+DEnNzOZIAgAARDhqLOCTWlUSpVODJPN6/tY0jiIAAECEI7CAz5iFGwAAAA4EFijzsLOLfkmTnPwCjiQAAEAEI7CAzzrWT5KalRPkZG6BrNqdzpEEAACIYAQW8P3LEx0lA8524p5HPwsAAICIRmABS5pDMewsAABAZCOwQJn0aVlT4mKiZPfRU7I3nWFnAQAAIhWBBcqkSmKcXNAk2bxeuiuDowkAABChCCxgWXOoJbsJLAAAACIVgQXKbMDZwGLtvhNyIiefIwoAABCBCCxQZs1qVpLGyRUl32aXJduPcEQBAAAiEIEFyiwq6rdhZ+duSeOIAgAARCACC1hiQJszgcX8bWlis9k5qgAAABGGwAKW6N40WSrERUtaVo5sOpDJUQUAAIgwBBawREJsjHRvVNW8nrsllaMKAAAQYQgsYJleTZPM89ytBBYAAACRhsAClunV5EyNxYZ9x+XIiRyOLAAAQAQhsIBlUirHS/t6VcVuF5m/ldGhAAAAIgmBBSzlGHZ2Hv0sAAAAIgqBBfwSWCzcliZ5BTaOLgAAQIQgsIClOjWoJsmV4iUrJ19W7T7G0QUAAIgQBBawVEx0lFzUiuZQAAAAkYbAApYb2LaWeWY+CwAAgMhBYAHL9W2ZYmoudqSdlL1HT3GEAQAAIgCBBSyXVCFOujWubl7P3XKYIwwAABABCCzgFwPbnG0OxXwWAAAAEYHAAn4NLJbvPCqncvM5ygAAAGGOwAJ+0aJWZWlQvYLk5ttkyfajHGUAAIAwF9DAoqCgQP7yl79I06ZNpUKFCtK8eXOZMGGC2O12Z5rbbrtNoqKiXB6XXHKJy3aOHTsmN998s1StWlWqVasmd9xxh5w4ccIlzYYNG6Rv376SmJgoDRs2lBdffPGc/EyfPl3atGlj0nTs2FG+/fZbP/714U3Lydkcilm4AQAAwl5AA4sXXnhB3n77bXnjjTdk8+bN5r3e8L/++usu6TSQOHjwoPPx8ccfu6zXoGLTpk0ye/Zs+frrr2XhwoVy1113OddnZmbK4MGDpXHjxrJmzRp56aWX5JlnnpF33nnHmWbp0qVy4403mqBk7dq1ctVVV5nHxo0by+FIhKcBZwOLeVtSXYJFAAAAhJ/YQO5cb+avvPJKueyyy8z7Jk2amKBh5cqVLukSEhKkTp06brehAcnMmTNl1apV0q1bN7NMA5NLL71UXn75ZalXr55MmTJFcnNz5f3335f4+Hhp3769rFu3Tl555RVnAPLaa6+ZAGbs2LHmvdacaKCiQc/kyZP9fCTCU89mNSQxLloOZWbLzwczpX29pEBnCQAAAOEYWPTq1cvUGmzbtk1atWol69evl8WLF5sb/sLmz58vtWrVkurVq8vAgQPlueeekxo1aph1y5YtM82fHEGFuvjiiyU6OlpWrFghw4YNM2n69etnggqHIUOGmBqS9PR0s11NM2bMGJf9apoZM2a4zXtOTo55FK4VUTabzTzc0eX6y7279Z7WuVvu7bLy5G7/8TFR0qt5DZm7JU3mbj4sbetU8Wk7vu7fl3RWlVEwlpOV+/ZlW1aVUSSeS+W5Hc4l/x1bq7bFueS/Y2vltgJ5LnlaxzXP93IN5P2DLQj+XwqJwOKJJ54wN+TaryEmJsb0ufjrX/9qmjY5aC3C1Vdfbfph7NixQ5566ikZOnSoCQT0M4cOHTJBR2GxsbGSnJxs1il91s8XVrt2bec6DSz02bGscBrHNoqaOHGijB8//pzlaWlpkp2d7bFgMjIyzJdDAx9v1rlb7u2y8uRp/xfUqyBzt4jM2nhAhrev6vN2rPpcSemsKqNgLCcr9+3Ltqwqo0g9l8prO5xL5VdGvm6LcymyysmX652ndVzzfC/XQN4/2AL8/1JWVlZoBBaffvqpaaY0depUZ/Okhx56yDRfGjFihElzww03ONNrh+pOnTqZTt5aizFo0KCA5f3JJ590qeHQAEk7haekpJhO5O7oF0M7NWsad186d+vcLfd2WXnytP/Lu1WRF+bulY2HTkpspWqSXCnep+34uv/SprOqjIKxnKzcty/bsqqMIvVcKq/tcC6VXxn5ui3OpcgqJ1+ud57Wcc3zvVwDef9gC/D/SzqoUUgEFtqfQWstHMGDBg579uwxtQGOwKKoZs2aSc2aNWX79u0msNC+F6mpqS5p8vPzzUhRjn4Z+nz4sOsM0I73JaXx1LdD+33ooygt8OIKXb8YntJ4WuduubfLypO7/TdIriRt6lSRLYeyZNH2IzLs/AY+bcfX/fuSzqoyCsZysnLfvmzLqjKKxHOpPLfDueS/Y2vVtjiX/HdsrdxWIM8lT+u45vleroG8f4gK4P9LpdlnQEeFOnXq1DmZ1eZNxbXl2rdvnxw9elTq1q1r3vfs2VOOHz9uRntymDt3rtlGjx49nGl0pKi8vDxnGu2Y3bp1a9MMypFmzpw5LvvSNLocZfPbsLNpHEoAAIAw5VNgoTfov/76q2zdutXUDPjq8ssvN30qvvnmG9m9e7d88cUXpuO2drhWOheF1mosX77crNcbfx1FqkWLFqZjtWrbtq3phzFq1CgzmtSSJUvkvvvuM7Ug2qRK3XTTTabjtg4lq8PSTps2zYwCVbgp04MPPmhGl5o0aZJs2bLFDEe7evVqsy1YE1gs2Joq+QWB6XgEAACAIAkstOOGzjnRv39/04dAh4bVm3pt76XzQ+iNvQ75Who6LOy1114r9957r9nWo48+Kn/84x/NUK+O2gud2O6KK64wo0ZpYNC1a1dZtGiRSzMk7aehHcC1aZQOM9unTx+XOSqSkpJk1qxZsmvXLvP5Rx55RMaNG+cy14WOUKV9PfRznTt3ls8++8yMCNWhQ4dS/U041/mNqku1inGSmZ0vP+49ziECAAAIQ171sdBaBK1Z0E7TWsugIzNpbYDOlq01FjqJnN7s6yR02vxIA4aWLVuWuN0qVarIq6++ah7u6Pa///77ErejI0BpUFAc7fSteSzO8OHDzQPWiomOkv6tUuT/1h0ws3B3b5rMIQYAAIjEwEJrIrSPgo7c5E737t3l9ttvNxPJffDBB+YG3pvAApHVHOpMYHFYnhjaJtDZAQAAQCACC50N2xvaPOnuu+8ua54QhrTGIjpKZNvhE7Iv/ZQ0qF4x0FkCAABAoDpvnzx50vlaO1MD3qpWMV66Nj4zAte8La7DAwMAACCCAosHHnjATAD3z3/+0znSElAaA5zDzhJYAAAARGxgoUO9Hjp0yPS3+Pzzz/2bK4T1sLNLdxyV07kFgc4OAAAAAhFY1K9f38wFoTUW//73v+XAgQNW5gMRoHXtKlIvKVFy8m2ybOeRQGcHAAAAgQgsdJSn/Px8M7eEzvVQrVo1K/OBCKDT0dMcCgAAIMIDizfffFNiY88MIlW3bl1Zt26dP/OFMG8ONW9Lmtjt9kBnBwAAAOU53GxR2dnZZkbs1NRUsdlsLut0lmzAk17Na0pCbLTsP37aDD3buk4VDhYAAEAkBhYzZ86UW2+9VY4cOeK2qUtBAZ1y4VmF+Bjp2byGzN+aZkaHIrAAAACIwHks1P333y/Dhw+XgwcPmtqKwg+CCpSmOZTOwg0AAIAIDSwOHz4sY8aMkdq1a/snRwh7A1qfCSzW7EmX46dyA50dAAAABCKwuPbaa2X+/PlW7BsRqmFyRWlVu7LY7CILtqUFOjsAAAAIRB+LN954wzSFWrRokXTs2FHi4uLOmaEbKIkOO6udt+dtSZUrz6vPAQMAAIi0wOLjjz+WWbNmSWJioqm50A7bDvqawALeGNi6lvxzwU5TY1Fgs0tM9G/fIwAAAERAYPGnP/1Jxo8fL0888YRER5e6JRVgdG1cXaomxkr6qTxZ92u6dG2czJEBAAAIYaWODHJzc+X6668nqECZxMZES79WKea1DjsLAACACAssRowYIdOmTfNPbhChw87SgRsAACDimkLpXBUvvviifP/999KpU6dzOm+/8sorVuYPYax/qxTRLjqbD2bKwYzTUjepQqCzBAAAgPIKLH766Sc5//zzzeuNGze6rCvckRsoSY3KCXJew2qydu9x0xzq5h6NOWgAAACREljMmzfPPzlBxI4OpYGFDjtLYAEAABC6GNYJATWw7Zl+Fku2H5XsvAJKAwAAIJwDi7vvvlv27dvn1Qa1Y/eUKVPKmi9EiHZ1q0qdqolyOq9Alu88GujsAAAAwJ9NoVJSUqR9+/bSu3dvufzyy6Vbt25Sr149M0leenq6/Pzzz7J48WL55JNPzPJ33nnH1/wgwmi/nAFtUuTjlb+a5lD9WtYMdJYAAADgrxqLCRMmyLZt20xg8dZbb8mFF14ojRo1klq1aknr1q3l1ltvlZ07d5qAYvny5Wa0KMBbA1qfHXZ2a6rY7XYOHAAAQDh33q5du7aZdVsfWkuxd+9eOX36tNSsWVOaN2/OiFDwWe8WNSU+Jlp+PXZadqSdlKocSwAAgPAfFUpVr17dPAArVEqIlR7NkmXRL0dk3tZUubJ1ZQ4sAABAiGFUKATVLNzzmIUbAAAgJBFYIKgCi1V70iUrOz/Q2QEAAEApEVggKDSuUUmapVSSAptdVuzNDHR2AAAAUEoEFggag87WWizdlRHorAAAAKCUCCwQNAacDSyW7c4Um41hZwEAAMJ+VKjPPvtMPv30UzPkbG5ursu6H3/80aq8IcJc0CRZKifESvrpfNmwP0O6NE4OdJYAAADgrxqLf/zjHzJy5Egzr8XatWule/fuUqNGDTNB3tChQ0u7OcApLiZa+p6deVtn4QYAAEAYBxY687bOsP36669LfHy8PPbYYzJ79mx54IEHJCODtvEomwGtU8zzvK1pHEoAAIBwDiy0+VOvXr3M6woVKkhWVpZ5/Yc//EE+/vhj63OIiNK/1ZnAYuOBTEnNzA50dgAAAOCvwKJOnTpy7Ngx87pRo0ayfPly83rXrl1it9PhFmWTUiVB2tWuaF7rLNwAAAAI08Bi4MCB8uWXX5rX2tfi4Ycflt/97ndy/fXXy7Bhw/yRR0SYXk2TzPNc+lkAAACE76hQ2r/CZrOZ16NHjzYdt5cuXSpXXHGF/PGPf/RHHhFhejdNkveWH5RFvxyRnPwCSYiNCXSWAAAAYHVgER0dbR4ON9xwg3kAVmldq6LUrBwvR07kyspdx6RvyzP9LgAAABC8fJogb9GiRXLLLbdIz549Zf/+/WbZRx99JIsXL7Y6f4hA0VFRMqD1mcnyaA4FAAAQpoHF559/LkOGDDEjQuk8Fjk5OWa5DjX7/PPP+yOPiORhZ+lnAQAAEJ6BxXPPPSeTJ0+Wd999V+Li4pzLe/fuzazbsEyfljUlLiZKdh89JTvTTnBkAQAAwi2w2Lp1q/Tr1++c5UlJSXL8+HGr8oUIVzkhVro3TTavaQ4FAAAQpvNYbN++/Zzl2r+iWbNmVuULcPazYD4LAACAMAwsRo0aJQ8++KCsWLFCoqKi5MCBAzJlyhR59NFH5Z577vFPLhGRBrY5E1joyFAncvIDnR0AAABYOdzsE088YeaxGDRokJw6dco0i0pISDCBxf3331/azQEeNUupLE1qVDT9LBb/kiaXdKjL0QIAAAiHGouCggIz1KxOjHfs2DHZuHGjLF++XNLS0mTChAn+yyUi1oCztRZzNqcGOisAAACwKrCIiYmRwYMHS3p6usTHx0u7du2ke/fuUrly5dJsBih1c6h5W9PEZrNz5AAAAMKlj0WHDh1k586dluxca0D+8pe/SNOmTc28GM2bNzc1H3b7bzeQ+nrcuHFSt25dk+biiy+WX375xWU7Wnty8803S9WqVaVatWpyxx13yIkTrkOUbtiwQfr27SuJiYnSsGFDefHFF8/Jz/Tp06VNmzYmTceOHeXbb7+15O+E73RkqErxMXLkRI5sPJDBoQQAAAineSy0P8XXX38tBw8elMzMTJdHabzwwgvy9ttvyxtvvCGbN2827/WG//XXX3em0ff/+Mc/zNwZ2mG8UqVKZoK+7OxsZxoNKjZt2iSzZ882+Vq4cKHcddddzvWaL61pady4saxZs0ZeeukleeaZZ+Sdd95xplm6dKnceOONJijRif+uuuoq89DmXgichNgYM6eFYthZAACAMOq8femll5rnK664wowKVbhmQd9rLYS39Gb+yiuvlMsuu8y8b9KkiXz88ceycuVK5zZfffVV+fOf/2zSqQ8//FBq164tM2bMkBtuuMEEJDNnzpRVq1ZJt27dTBoNTDSfL7/8stSrV8+MWpWbmyvvv/++acLVvn17WbdunbzyyivOAOS1116TSy65RMaOHWvea82JBioa9GhQU5TOOO6YdVw5girt2K4Pd3S5/k3u1nta5265t8vKk1X7d7edi1qnyPebDpvA4oGBLcq0/5LSWVVGwVhOVu7bl21ZVUYlpeFc8r2MrCwnziVrj7c/ysjKcgq26104lZMvZRSJ5eTPMgr0Nc8WBGXkt8Bi3rx5YpVevXqZWoNt27ZJq1atZP369WY+DL3hV7t27ZJDhw6Z5k+FJ+Lr0aOHLFu2zAQW+qzNnxxBhdL00dHRpoZj2LBhJo2OXqVBhYPWemgNifYXqV69ukkzZswYl/xpGg1g3Jk4caKMHz/+nOXakb1wbUrRgsnIyDBfDs2fN+vcLfd2WXmyav/uttOxxpnnDfsyZPOu/VKjUpzP+y8pnVVlFIzlZOW+fdmWVWVUUhrOJd/LyMpy4lyy9nj7o4ysLKdgu96FUzn5UkaRWE7+LKNAX/NsAS6jrKws/wUW/fv3F6vo0LX6S7/2a9CO4Vrb8de//tU0bVIaVCitoShM3zvW6XOtWmc6+DrExsZKcnKySxrtx1F0G451Gljoc3H7KerJJ590CUT079C+GykpKaavhzv6xdBaHU3j7kvnbp275d4uK09W7d/ddrR0O9TbLRsPZMqmY3a5tmktn/dfUjqryigYy8nKffuyLavKqKQ0nEu+l5GV5cS5ZO3x9kcZWVlOwXa9C6dy8qWMIrGc/FlGgb7m2QJcRtr32G+BhYPOYbF3717TxKiwTp06eb2NTz/91DRTmjp1qrN50kMPPWSaL40YMUKCmc7doY+itMCLK3T9YnhK42mdu+XeLitPVu3f3XZ0dCgNLOZvS5PrLmhUpv2XlM6qMgrGcrJy375sy6oyKikN55LvZWRlOXEuWXu8/VFGVpZTsF3vwqmcfCmjSCwnf5ZRoK95UQEso9Lss9SBhTb1GTlypHz33Xdu15emj4X2Z9BaC23SpHQkpj179phmRhpY1KlTxyw/fPiwGRXKQd+fd9555rWmSU11neMgPz/fjBTl+Lw+62cKc7wvKY1jPQI/n8U/5m6XRduOSF6BTeJiAnPxAwAAgHulvjvTGoXjx4+b/gs6/Kt2nP7Pf/4jLVu2lC+//LLUtR5FoyBtEuXoJKLNl/TGfs6cOS5NjnTfPXv2NO/1WfOjoz05zJ0712xD+2I40uhIUXl5ec402jG7devWphmUI03h/TjSOPaDwOrcoJrUqBQvWTn5smr3MYoDAAAg1AMLvWnXztXaWVqDAh3C9ZZbbjHDwmpNQ2lcfvnlpk/FN998I7t375YvvvjCbFs7XDuqfTSQ0SFuNWj56aef5NZbbzVNpXQoWNW2bVszmtOoUaPMaFJLliyR++67z9SCaDp10003mY7bOpSsDks7bdo0MwpU4T4SDz74oAmSJk2aJFu2bDHD0a5evdpsC4EXHR0l/VunmNdzmYUbAAAg9AOLkydPOjtL66/92jTK0Yzpxx9/LNW2dFjYa6+9Vu69914TIOj8GH/84x/NUK8Ojz32mNx///1mWNgLLrjATHynAUDhjiTaT0M7gA8aNMgMM9unTx+XOSp0JKlZs2aZUaa6du0qjzzyiJl0r/BcFzpClfb10M917txZPvvsMzMilE4IiOAwqM2ZzvVzt7o2fQMAAEDglbqPhTYf2rp1q5lzQm/A//nPf5rXOtdD4X4Q3qhSpYqZp0IfnmitxbPPPmsenugIUBoUFEc7lS9atKjYNMOHDzcPBKe+rWpKbHSU7Ew7KXuOnpTGNSoFOksAAADwtcZCmwzpjNvq6aefNp24GzVqZGbHfv7550u7OcBrVRPjpFuTM31imIUbAAAgxGsstD+FgzYr0lGctE+CBhc1a9a0On+ACx12dvnOYyawGNnbdW4SAAAABE6Zx+ysWLGidOnS5ZygQieJ27lzZ1k3D5wTWKgVO4/JyZx8jg4AAECQ8NtkADrtOGC15imVpWFyBcktsMmS7Uc4wAAAAEGCWcYQUrQz/8DWZ2ot5jE6FAAAQNAgsEBIzsKttJ8FNWMAAADBgcACIefCZjWkQlyMHM7MkU0HMgOdHQAAAPgzsNAmK4A/JMbFSO8WNczreVuYLA8AACAY0HkbIWkgs3ADAABERmChE+fVr1/fX5tHhBvQJsU8r/v1uBw9kRPo7AAAAEQ8rybIGzNmjNcH6pVXXjHPffr0ifiDC/+pm1RB2tatKpsPZsqCbWly1Xn1ONwAAADBHlisXbvWq43RrwLlaWCbFBNY6OhQBBYAAAAhEFjMmzfP/zkBfJiF+815O2ThtjTJL7Bx/AAAAAKI4WYRss5rWF2qV4yTzOx8+XHv8UBnBwAAIKJ5VWNx9dVXe73B//3vf2XJD+C1mOgo6d8qRWasOyBzt6bK7V2SOXoAAADBHFgkJSX5PyeAj7Nwa2Axb0sagQUAAECwBxYffPCB/3MC+EBrLKKjRH5JPSEHMnKkVi0OIwAAQMj0scjPz5cffvhB/vnPf0pWVpZZduDAATlx4oTV+QOKVa1ivHRrfKYJ1NLdGRwtAACAUAks9uzZIx07dpQrr7xSRo8eLWlpaWb5Cy+8II8++qg/8giU2BxKLdlFYAEAABAygcWDDz4o3bp1k/T0dKlQoYJz+bBhw2TOnDlW5w/wathZ9eOvWXI6t4AjBgAAEKx9LApbtGiRLF26VOLj412WN2nSRPbv329l3gCvtKpdWepVS5QDx7Nl6c6j8rt2dThyAAAAwV5jYbPZpKDg3F+F9+3bJ1WqVLEqX4DXdMb3Aa3P1FrM25LKkQMAAAiFwGLw4MHy6quvutzUaaftp59+Wi699FKr8wd4ZUDrFPM8b2ua2O12jhoAAECwBxaTJk2SJUuWSLt27SQ7O1tuuukmZzMo7cANBELPZjUkISZKDmZky9bDZ0YqAwAAQBD3sWjQoIGsX79epk2bZp61tuKOO+6Qm2++2aUzN1CeKsTHSNeGVWTp7kyZuyVV2tSpSgEAAAAEc2BhPhQbawIJfQDBolfTpDOBxeZUufeiFoHODgAAQEQpdVOoiRMnyvvvv3/Ocl1GUygEUu+mSeb5x73pkn4yl8IAAAAI5sBCZ9tu06bNOcvbt28vkydPtipfQKnVrZpghp612UUW/nJm4kYAAAAEaWBx6NAhqVu37jnLU1JS5ODBg1blC/CJY9hZ7WcBAACAIA4sGjZsaEaFKkqX1atXz6p8AWUadnbBtjQp0KoLAAAABGfn7VGjRslDDz0keXl5MnDgQLNszpw58thjj8kjjzzijzwCXuvSqJokVYiT46fyZO3edOnWJJmjBwAAEIyBxdixY+Xo0aNy7733Sm7umQ6yiYmJ8vjjj8uTTz7pjzwCXouNiZZ+rVLkq/UHTHMoAgsAAIAgbQqlM23r6E9paWmyfPlyM5fFsWPHZNy4cf7JIVBKA9ucaQ5FPwsAAIAgn8dCVa5cWS644AJrcwNYoH+rWhIVJbLlUJYcOH5a6lVj4kYAAICgq7EAgl1ypXg5v2E185paCwAAgPJBYIGwNLDNmWFn5zHsLAAAQLkgsEBYGtimtnlesuOIZOcVBDo7AAAAYY/AAmGpbd0qUjcpUbLzbLJs59FAZwcAACDsEVggLOnoZRednYWb5lAAAAD+R2CBsO9noR247XZm4QYAAPAnAguErd4takh8bLTsSz8t21NPBDo7AAAAYY3AAmGrYnysXNishnnNsLMAAAD+RWCBsDawNbNwAwAAlAcCC0TEsLOr96RLxum8QGcHAAAgbBFYIKw1qlFRmqdUkgKbXRZuSwt0dgAAAMIWgQXC3qC2Z2otGHYWAADAfwgsEPYGnJ3PYv62NFNzAQAAAOsRWCDsdWtSXaokxsqxk7myYd/xQGcHAAAgLBFYIOzFxURLv5ZnRoeat5V+FgAAAGEXWDRp0kSioqLOeYwePdqsv+iii85Zd/fdd7tsY+/evXLZZZdJxYoVpVatWjJ27FjJz893STN//nzp0qWLJCQkSIsWLeTf//73OXl58803TX4SExOlR48esnLlSj//9ShPA87Owk1gAQAAEIaBxapVq+TgwYPOx+zZs83y4cOHO9OMGjXKJc2LL77oXFdQUGCCitzcXFm6dKn85z//MUHDuHHjnGl27dpl0gwYMEDWrVsnDz30kNx5553y/fffO9NMmzZNxowZI08//bT8+OOP0rlzZxkyZIikpqaW27GAf13UOkWiokQ2HciUtBO5HG4AAACLxUoApaScaZ7i8Le//U2aN28u/fv3dy7Tmog6deq4/fysWbPk559/lh9++EFq164t5513nkyYMEEef/xxeeaZZyQ+Pl4mT54sTZs2lUmTJpnPtG3bVhYvXix///vfTfCgXnnlFRPAjBw50rzXz3zzzTfy/vvvyxNPPOF23zk5OebhkJmZaZ5tNpt5uKPL7Xa72/We1rlb7u2y8mTV/n3dTkmfS64YJ53qJ8n6fRmydFeGtG1Sz69lFIzlZOW+fdmWt5/xJh3nkn/KyMpy4lyy9nj7o4ysLKdgu96FUzn5UkaRWE7+LKNAX/NsQVBGIRFYFKa1Dv/9739NzYE2eXKYMmWKWa7BxeWXXy5/+ctfTLChli1bJh07djRBhYMGC/fcc49s2rRJzj//fJPm4osvdtmXptGaC8d+16xZI08++aRzfXR0tPmMftaTiRMnyvjx489ZnpaWJtnZ2R4LJiMjw3w5dB/erHO33Ntl5cmq/fu6HW8+171BRRNYzN92RC5vn+o2nVVlFIzlZOW+fdmWt5/xJh3nkn/KyMpy4lyy9nj7o4ysLKdgu96FUzn5UkaRWE7+LKNAX/NsAS6jrKys0AssZsyYIcePH5fbbrvNueymm26Sxo0bS7169WTDhg2mJmLr1q3yv//9z6w/dOiQS1ChHO91XXFptIbh9OnTkp6ebppUuUuzZcsWj/nVQESDIAfdXsOGDU0tTNWqVd1+Rr8YGjRpGndfOnfr3C33dll5smr/vm7Hm8/9vmuCvLv8oKw7lC1JyTWlQnys38ooGMvJyn37si1vP+NNOs4l/5SRleXEuWTt8fZHGVlZTsF2vQuncvKljCKxnPxZRoG+5tkCXEba/zjkAot//etfMnToUBNEONx1113O11ozUbduXRk0aJDs2LHDNJkKJO0Iro+itMCLK3T9YnhK42mdu+XeLitPVu3f1+2U9LmO9atJSpUEScvKkdV70qV/69p+LaNgLCcr9+3Ltrz9jDfpOJf8U0ZWlhPnkrXH2x9lZGU5Bdv1LpzKyZcyisRy8mcZBfqaFxXAMirNPgPzDSpiz549pp+Edqoujo7WpLZv326etXnU4cOHXdI43jv6ZXhKo7UKFSpUkJo1a0pMTIzbNJ76diA0RUdHyYDWZ4ed3cKwswAAAFYKisDigw8+MEPF6uhNxdFRnZTWXKiePXvKTz/95DJ6k44spUFDu3btnGnmzJnjsh1No8uVdvDu2rWrSxqtctL3jjQIH87AYmuaaasIAACAMAks9CZeA4sRI0ZIbOxvLbO0uZOO8KQdq3fv3i1ffvml3HrrrdKvXz/p1KmTSTN48GATQPzhD3+Q9evXmyFk//znP5t5MBzNlHTei507d8pjjz1m+ky89dZb8umnn8rDDz/s3Jf2lXj33XfNcLWbN282nb9PnjzpHCUK4aN3i5oSGx0le46dkp1HTgY6OwAAAGEj4H0stAmUTnJ3++23uyzXmgRd9+qrr5qbfO0Yfc0115jAwUGbMH399dcmENDahUqVKpkA5dlnn3Wm0aFmdehYDSRee+01adCggbz33nvOoWbV9ddfb0Zz0vkvtLO3Dls7c+bMczp0I/RVToiV8xtUllV7s2TellRpnlI50FkCAAAICwEPLLTWwV2TFA0kFixYUOLnddSob7/9ttg0OoP32rVri01z3333mQfCX+8mSSawmLslVe7s2yzQ2QEAAAgLAW8KBZS3Xk2TzPPKXcckKzuPAgAAALAAgQUiTqPqidKkRkXJt9ll8S9HAp0dAACAsEBggYg0oE0t86zNoQAAAFB2BBaI8GFnU8VmY9hZAACAsiKwQETq3iRZKsXHyJETufLT/oxAZwcAACDkEVggIsXHRkvflmdqLWgOBQAAUHYEFohYA8/2s9DmUAAAACgbAgtErIvanKmx2LAvQ1KzsgOdHQAAgJBGYIGIVatKonSsf2ZOi/lb0wKdHQAAgJBGYIGI5hh2dh7DzgIAAJQJgQUimqOfxaJfjkhuvi3Q2QEAAAhZBBaIaJ3qJ0nNyvFyIidfVu8+FujsAAAAhCwCC0S06Ogo6d/qTK3FHJpDAQAA+IzAAhHPOewsgQUAAIDPCCwQ8fq2qimx0VGy88hJ2X30ZMQfDwAAAF8QWCDiVU2MkwuaJJvjMG8Lw84CAAD4gsACYBZuAACAMiOwAArNZ7Fy1zE5lVvAMQEAACglAgtARJqnVJJGyRUlt8Auq/ZmcUwAAABKicACEJGoqCjn6FBLdmdwTAAAAEqJwAIo0hxq6a4MsdvtHBcAAIBSILAAzurRNFkqxMXIkZN5sulAJscFAACgFAgsgLMS42Kkd4sa5vW8rQw7CwAAUBoEFoC7Wbi3pnJcAAAASoHAAijkolYp5nn9vgw5eiKHYwMAAOAlAgugkDpJidIqpYJo3+35NIcCAADwGoEFUESvpknmeS7NoQAAALxGYAEU0bvJmcBi4bY0ySuwcXwAAAC8QGABFNGuTiVJrhgnWdn5smZPOscHAADACwQWQBEx0VHS72wn7nlbGB0KAADAGwQWgBsDWp8JLOYSWAAAAHiFwAJwQ2sstObil9QT8uuxUxwjAACAEhBYAG4kVYiTro2rm9fUWgAAAJSMwAIoYRZuAgsAAICSEVgAJQQWy3YelVO5+RwnAACAYhBYAB60rFVZ6lerILn5Nlm6/SjHCQAAoBgEFoAHUVFRvzWHYhZuAACAYhFYAMVwBBY6n4XdbudYAQAAeEBgARSjZ/MakhgXLQczsmXLoSyOFQAAgAcEFkAxEuNipFfzmub1vK1pHCsAAAAPCCyAEgwo1BwKAAAA7hFYAF72s1j763HJOM2wswAAAO4QWAAl0CFn29SpIja7yLI9GRwvAAAANwgsgFI0h1q6i8ACAADAHQILoBTNoZbvzpT8AhvHDAAAoAgCC8AL5zesJkkV4iQzp8D0tQAAAIArAgvAC7Ex0dKvJcPOAgAAeEJgAXhpQJsU88x8FgAAAOcisAC81L9VikRHiWw9lCX7j5/muAEAAARLYNGkSROJioo65zF69GizPjs727yuUaOGVK5cWa655ho5fPiwyzb27t0rl112mVSsWFFq1aolY8eOlfx817kG5s+fL126dJGEhARp0aKF/Pvf/z4nL2+++abJT2JiovTo0UNWrlzp578eoaZ6xXhpX6eSec1keQAAAEEUWKxatUoOHjzofMyePdssHz58uHl++OGH5auvvpLp06fLggUL5MCBA3L11Vc7P19QUGCCitzcXFm6dKn85z//MUHDuHHjnGl27dpl0gwYMEDWrVsnDz30kNx5553y/fffO9NMmzZNxowZI08//bT8+OOP0rlzZxkyZIikpjLTMlz1bppknucyCzcAAICLWAmglJQzbdYd/va3v0nz5s2lf//+kpGRIf/6179k6tSpMnDgQLP+gw8+kLZt28ry5cvlwgsvlFmzZsnPP/8sP/zwg9SuXVvOO+88mTBhgjz++OPyzDPPSHx8vEyePFmaNm0qkyZNMtvQzy9evFj+/ve/m+BBvfLKKzJq1CgZOXKkea+f+eabb+T999+XJ554wm3ec3JyzMMhMzPTPNtsNvNwR5fb7Xa36z2tc7fc22Xlyar9+7odbz9XUrqSyqh3k6oyeekBWbrjiJzKyZPEuJgyl115sXLfvmzLqjIqKQ3nku9lZGU5WVVGnpZzLnEuWfVdDvZrni/nkqd1wXYuWbl/f5ZRoK95tiAoo5AILArTWof//ve/puZAm0OtWbNG8vLy5OKLL3amadOmjTRq1EiWLVtmAgt97tixowkqHDRYuOeee2TTpk1y/vnnmzSFt+FIozUXjv3qvp588knn+ujoaPMZ/awnEydOlPHjx5+zPC0tzTTh8lQwGjDpl0P34c06d8u9XVaerNq/r9vx9nMlpSupjGrE5kitynGSeiJPZv64U3o1TSpz2ZUXK/fty7asKqOS0nAu+V5GVpaTVWXkaTnnEueSVd/lYL/m+XIueVoXbOeSlfv3ZxkF+ppnC3AZZWVlhV5gMWPGDDl+/Ljcdttt5v2hQ4dMjUO1atVc0mkQoescaQoHFY71jnXFpdEahtOnT0t6erppUuUuzZYtWzzmVwMRDYIcdHsNGzY0tTBVq1Z1+xn9YmjQpGncfencrXO33Ntl5cmq/fu6HW8/V1I6b8poUNs8+XjVPvnxUK5c1aNWmcuuvFi5b1+2ZVUZlZSGc8n3MrKynKwqI0/LOZc4l6z6Lgf7Nc+Xc8nTumA7l6zcvz/LKNDXPFuAy0j7H4dcYKHNnoYOHSr16tWTUKAdwfVRlBZ4cYWuXwxPaTytc7fc22Xlyar9+7odbz9XUrqSykhn4dbAQoeddaQta9mVFyv37cu2rCqjktJwLvleRlaWk1Vl5Gk55xLnklXfZW8E8prny7nkaV2wnUtW7t+fZRToa15UAMuoNPsMzDeoiD179ph+Etqp2qFOnTqmmZLWYhSmo0LpOkeaoqNEOd6XlEZrFSpUqCA1a9aUmJgYt2kc2wAK69m8hsTHRpshZ39JPcHBAQAACJbAQjtl61CxOnqTQ9euXSUuLk7mzJnjXLZ161YzvGzPnj3Ne33+6aefXEZv0pGlNGho166dM03hbTjSOLahza10X4XTaJWTvnekAQqrGB8rPZvVMK8ZHQoAACBIAgu9idfAYsSIERIb+1vLrKSkJLnjjjtMP4Z58+aZDtY6apPe7GvHbTV48GATQPzhD3+Q9evXmyFk//znP5u5LxzNlO6++27ZuXOnPPbYY6bPxFtvvSWffvqpGcrWQffx7rvvmuFqN2/ebDp/nzx50jlKFFCUNodSBBYAAABB0sdCm0BpLcTtt99+zjodElbbdenEeDq0q47mpIGBgzZh+vrrr00goAFHpUqVTIDy7LPPOtPoULM6dKwGEq+99po0aNBA3nvvPedQs+r66683oznp/Bfa2VuHrZ05c+Y5HbqBwoHF019ukjV70iXjdB4HBgAARLyABxZa66DDZ3nqha4zYuvDk8aNG8u3335b7D4uuugiWbt2bbFp7rvvPvMAvNEwuaK0qFVZtqeekIXb0qRH3YCfSgAAAJHdFAoI9eZQOjoUAABApCOwAMoYWCzYliYFNve1bgAAAJGCwALwUdfG1aVKYqykn8qTnw+d5DgCAICIRmAB+CguJlr6tUoxr5fszuA4AgCAiEZgAZTBwNZnmkMt3UVgAQAAIhuBBVAGF7VOkagokW1pp+VQRjbHEgAARCwCC6AMalROkM4Nkszr+dsYHQoAAEQuAgugjAacbQ41b0sqxxIAAEQsAgugjAa0PtOBe/H2o5KdV8DxBAAAEYnAAiij9vWqSs1KcXI6r0BW7DrG8QQAABGJwAIoo6ioKOnV9Ew/C5pDAQCASEVgAVigd5MzgcXcLalitzMLNwAAiDwEFoAFLmhUReJjomTvsVOyI41ZuAEAQOQhsAAsUDE+Rro3TTavaQ4FAAAiEYEFYPGws9ocCgAAINIQWAAWGdDmzLCzq3Yfk8zsPI4rAACIKAQWgEWa1KgkzWpWknybXRb/coTjCgAAIgqBBWChAW1oDgUAACITgQVgoYFnA4v5W1PFZmPYWQAAEDkILAALXdAkWSonxMqRE7ny0/4Mji0AAIgYBBaAheJjo6Vvy5rm9dytaRxbAAAQMQgsAD/1s5i3lWFnAQBA5CCwACx2Ueszw85u3J8pR04y7CwAAIgMBBaAxWpVSZRODZLM62W76WcBAAAiA4EF4MdZuJfsIrAAAACRgcAC8OOwsyv3Zkpuvo1jDAAAwh6BBeAHHesnSc3K8XIq1yardh/jGAMAgLBHYAH448SKjpL+rc504mbYWQAAEAkILAA/GXB2dKh5Wxh2FgAAhD8CC8BPdKK8mGiR3UdPya4jJznOAAAgrBFYAH5SJTFOzq9fxbyeS60FAAAIcwQWgB/1anpmPguaQwEAgHBHYAH4Ue8mZwKLFbuOyomcfI41AAAIWwQWgB81qp4gjZMrSl6BXRb/coRjDQAAwhaBBeBHUVFRjA4FAAAiAoEF4GcD2pwddnZrqtjtdo43AAAIS7GBzgAQ7ro3TZaK8TGSmpUjn6z6VQqyT0mLEzHSo5kORxsV6OwBAABYgsAC8LOE2BhpUauybNiXIX+asens0l1SNylRnr68nVzSoS5lAAAAQh5NoQA/m7nxkAkqijqUkS33/PdHmbnxIGUAAABCHoEF4EcFNrs8+/Vmt+scvS3Gf/WzSQcAABDKaAoF+NG6/SfkUGa2x/UaThzMyJaHp62T5imVJTEuWhLjYiQh9syzvtemVAlnlye6vP4tbWwMvxFYQQO8FTuPyvZ9x+gHE8Qop+BHGYUGyin4FYTY/0sEFoAfHT2Z51W6L9cfKNN+YqOjXAISE3w4gpDYMwFKfGy0SEGeVKt8WCrEx5q0CWeDF9e0roFN0e1qoBMfI2E3wpU2SdPaIw30zqAfTDCinIIfZRQaKKfQaEo94ZvNIfX/EoEF4Ec1KsV5lW5ohzpSvVK8ZOcVSE6eTXLyCyQ7z2beZ+efWZZ9dlmOWWaT3Hyb8/P5NruZ2ftEjjd7OyZW0N9LCgcxhYOQMwFLoQBFl8VGS0FetiRXPS4V4nXd2RqZImkTYqLkVNZJOWbLkorxsa7rYqMl2g+/1OjFe/TUtc7maUX7wbx9S5egvYhHEsop+FFGoYFyCn7ztqfLU1/vDLn/lwgsAD86r35lqVM1UQ5nZp9zcVB6i1wnKVHeuKlLqas2bTa75OR7CELOBh8mUDn7fDo3X44ez5S4hAqSk293WVc0bU7hdWeDGkdw46io0KfTut28AhHxrmbmjFQpC6150QAjPlqkYkKcS62LBh/xsVESVZAvSZUPSWK8a8CSl3NaalY7ZWpsdFlcTJScPpEpz8/51W35OJaN+79N0qZOVcuqn6OK2YzdZpcjmTmSF3daos7uTydaLNX2zffDJkezciU//rRER3tuKld0047PFSS4/1yU2fqZdEdO5IotIdttOsd6e+K56z2ts+tyreXLdF2u6Q9n5cozX20rtpye/nKTdG5Yze/NBLSMtDYyKivHWUbluS1vP+NNuuLSeFrnbrkuS/WyjM5rWL1cmnKY7/LZfBZ3DvhrW95+pqR0xa0v7TpdlhpE55KV55M/zyVv0lp1Lqn8fJtMmuf5/yVNqTXsv2tXJ+iaRRFYAH6kJ/y437c1v4brqV/4IuG4FGiVpi8XBv3lXn/514c3zH8oqalSq1Ytn/+T1eZPuQU2OZ2TL/sPpUrlpOqSW6BBimuA81vAcraWJV8DmwI5lpElMXGJZhvughZHjcypnDzJs4lzW1oj45BbqLbm6Kn8YnKb7mH5/lL/3ToHyUUvzy/151C+DmfmSM+JcznsQV5GF06cE+hsoAScS8HNfrZ/5spdx6Rn8xoSTAgsAD+7pEMdU2Xp2n7/TE1FMLeTdEd/OdcmTHHRUZJdKU5qJVcs1a933gQ27tLlayBSqFbldE6eHDh8RCpWTTKBjaOWxqzLzZe09AyJS6wouVozYwKWAsnOLZCMEydFYuLPBD5nA5kD6SflYGZuifnX2o1YN/m2u/1NyTOvuqZoorNVCaXauv3cnJ2t8/CQ3F7S7s9ZXvTzjhoM99vxsCE3Oympz46u9vZYlLKCxze/HdzAbMvbz3iTrrg0nta5WV6ablflUkbhVE6+lFEklpM/y8ibtPbyPZdSszwPDhMoBBZAOdDgQassV+w8Itv3pUmLBilBP7JDMNFRryrrI+HMJctmS5DK9lNSq1Z1t9X/qakJ5wQw7gIWXfbdmh0y+vNtJebhw9t7lMsvQ1bULJVlO2UJAL1d72ldccu9LaePR13o93Kyqox83ZZVZWRlOQVbGXnKZ3luK5DnUiSWkz/LqLyveUu3p8lN760sMf+1qiRKsGGMSqCcaBBxYbMaMrhNsnkmqAiufjCeQjxdrqNwdG+aXM45Q2GUU/CjjEID5RT8LmiSLLUqx4Xk/0sBDyz2798vt9xyi9SoUUMqVKggHTt2lNWrVzvX33bbbab5ReHHJZdc4rKNY8eOyc033yxVq1aVatWqyR133CEnTpxwSbNhwwbp27evJCYmSsOGDeXFF188Jy/Tp0+XNm3amDSaj2+//daPfzmAYOoHo4pexMvaDwbWoZyCH2UUGiin0Cijhy9qGJL/LwU0sEhPT5fevXtLXFycfPfdd/Lzzz/LpEmTpHr16i7pNJA4ePCg8/Hxxx+7rNegYtOmTTJ79mz5+uuvZeHChXLXXXc512dmZsrgwYOlcePGsmbNGnnppZfkmWeekXfeeceZZunSpXLjjTeaoGTt2rVy1VVXmcfGjRvL4UgACIZ+MNrvpTB9H6xD+kUiyin4UUahgXIKfgNaVJc3bzo/5P5fCmgfixdeeMHUHnzwwQfOZU2bNj0nXUJCgtSpU8ftNjZv3iwzZ86UVatWSbdu3cyy119/XS699FJ5+eWXpV69ejJlyhTJzc2V999/X+Lj46V9+/aybt06eeWVV5wByGuvvWYCmLFjx5r3EyZMMIHKG2+8IZMnT/bTEQAQLOgHExoop+BHGYUGyik0AsAhHeqGVP/MgAYWX375pQwZMkSGDx8uCxYskPr168u9994ro0aNckk3f/5807FFazIGDhwozz33nGk6pZYtW2aaPzmCCnXxxRebTjArVqyQYcOGmTT9+vUzQYWD7lcDG6010e1qmjFjxrjsV9PMmDHDbd5zcnLMo3CtiKMjjj7c0eU68om79Z7WuVvu7bLyZNX+fd2Ot58rKZ1VZRSM5WTlvn3ZllVlVFKaspSHXqq7N6kuTSvlS0pKdYkSXVe+M4xzLpVcdoEuJ86lyDqXfN1WIP9fisRy8mcZBfL+ITo6OijKKCQCi507d8rbb79tbuifeuopU+vwwAMPmABgxIgRJo3WIlx99dWmJmPHjh0m3dChQ00gEBMTI4cOHTJBR2GxsbGSnJxs1il9LloTUrt2bec6DSz02bGscBrHNoqaOHGijB8//pzlaWlpkp2d7bFgMjIyzJfF3YgB7ta5W+7tsvJk1f593Y63nyspnVVlFIzlZOW+fdmWVWVUUhrOJd/LyMpy4lyy9nj7o4ysLKdgu96FUzn5UkaRWE7+LKNAX/NsAS6jrKys0Ags9EBpTcPzzz9v3p9//vmmT4M2PXIEFjfccIMzvXao7tSpkzRv3tzUYgwaNChgeX/yySddaji0xkKbdaWkpJhO5J7+Xu18rmncfencrXO33Ntl5cmq/fu6HW8/V1I6q8ooGMvJyn37si2ryqikNJxLvpeRleXEuWTt8fZHGVlZTsF2vQuncvKljCKxnPxZRoG+5tkCXEY6qFFIBBZ169aVdu3auSxr27atfP755x4/06xZM6lZs6Zs377dBBba90LHAC4sPz/fjBTl6Jehz4cPH3ZJ43hfUhpPfTu034c+itICL67Q9YvhKY2nde6We7usPFm1f1+34+3nSkpnVRkFYzlZuW9ftmVVGZWUhnPJ9zKyspw4l6w93v4oIyvLKdiud+FUTr6UUSSWkz/LKNDXvKgAllFp9hmYb9BZOiLU1q1bXZZt27bNjN7kyb59++To0aMmKFE9e/aU48ePm9GeHObOnWuiux49ejjT6EhReXl5zjTaMbt169bOEag0zZw5c1z2pWl0OQAAAIAgDiwefvhhWb58uWkKpTUQU6dONUPAjh492qzXuSh0lCZNs3v3bnPjf+WVV0qLFi1Mx2pHDYf2w9AO3ytXrpQlS5bIfffdZ5pQ6YhQ6qabbjL9NnQoWR2Wdtq0aWYUqMJNmR588EEzupQOd7tlyxYzHK3Op6HbAgAAABDEgcUFF1wgX3zxhZmXokOHDmaI11dffdXMS6G0c7ZObHfFFVdIq1atTGDQtWtXWbRokUszJB1OVie206ZROsxsnz59XOaoSEpKklmzZsmuXbvM5x955BEZN26cy1wXvXr1cgY2nTt3ls8++8yMCKX5AgAAABDEfSzU73//e/NwR2fi/v7770vcho4ApUFBcbTTtwYkxdFhb/UBAAAAIIRqLAAAAACEBwILAAAAAGVGYAEAAAAg9PtYhAudDdExUZ4nOgSuzl6oE424mzzF3Tp3y71dVp6s2r+v2/H2cyWls6qMgrGcrNy3L9uyqoxKSsO55HsZWVlOnEvWHm9/lJGV5RRs17twKidfyigSy8mfZRToa54twGXkuLd13OsWh8DC4unOdfZtAAAAINzudXWk1eJE2b0JP1AijSYPHDggVapUMbMjFjfE7qpVq0q1zt3yoss0mtSg5tdff5WqVasGpMSK+9vKYzvefq6kdFaVUTCWk1Vl5Ou2rCqjktJwLvleRlaWE+eStcfbl89wLoXHNc+Xc8nTumD7f8ldnspzO6X5TKCueZkBLiMNFTSo0PnhSqoxocbCInqgGzRoUGI6nZvD05fC0zp3yz2l1WWBujAU97eVx3a8/VxJ6awqo2AsJ6vKyNdtWVVGJaXhXPK9jKwsJ84la4+3L5/hXAqPa54v55KndcH2/1JxeSqP7ZTmM4G+5lUNYBmVVFPhQOftcuaYVbw069wtL247gWJVnnzdjrefKymdVWVUmjyVFyvz48u2rCqjktJwLpXuePty/L1Jx7lk7fH25TOcS+FxzfPlXPK0Ltj+Xwr0/UNpPhPJ1zxv0RQqTGg1mUaTGRkZAYtmUTLKKfhRRqGBcgp+lFFooJyCX2YI3eNRYxEmEhIS5OmnnzbPCF6UU/CjjEID5RT8KKPQQDkFv4QQusejxgIAAABAmVFjAQAAAKDMCCwAAAAAlBmBBQAAAIAyI7AAAAAAUGYEFgAAAADKjMAiAnz99dfSunVradmypbz33nuBzg48GDZsmFSvXl2uvfZajlGQ+vXXX+Wiiy6Sdu3aSadOnWT69OmBzhKKOH78uHTr1k3OO+886dChg7z77rscoyB26tQpady4sTz66KOBzgrcaNKkibnW6fk0YMAAjlGQ2rVrlykf/b+pY8eOcvLkyYDlheFmw1x+fr75os2bN89MrtK1a1dZunSp1KhRI9BZQxHz58+XrKws+c9//iOfffYZxycIHTx4UA4fPmz+kz106JA5n7Zt2yaVKlUKdNZwVkFBgeTk5EjFihXNf64aXKxevZprXpD605/+JNu3b5eGDRvKyy+/HOjswE1gsXHjRqlcuTLHJoj1799fnnvuOenbt68cO3bMTKIXGxsbkLxQYxHmVq5cKe3bt5f69eubC8PQoUNl1qxZgc4W3NBfwqtUqcKxCWJ169Y1QYWqU6eO1KxZ01zEETxiYmJMUKE0wLDb7eaB4PPLL7/Ili1bzP9LAHyzadMmiYuLM0GFSk5ODlhQoQgsgtzChQvl8ssvl3r16klUVJTMmDHjnDRvvvmm+VUhMTFRevToYYIJhwMHDpigwkFf79+/v9zyHynKWk4IvXJas2aN+XVcf2lFcJWRNofq3LmzNGjQQMaOHWsCQARfOWnzp4kTJ1I0QVxG+jn9NfyCCy6QKVOmUFZBWE6//PKL+eFYt9GlSxd5/vnnA1pOBBZBTqvy9T9I/VK5M23aNBkzZoyZ6v3HH380aYcMGSKpqanlntdIRjlFVjlpLcWtt94q77zzTjnlPHJYUUbVqlWT9evXm3bHU6dONc3XEFzl9H//93/SqlUr80DwnkuLFy82P6J8+eWX5oZ1w4YNFFeQlVN+fr4sWrRI3nrrLVm2bJnMnj3bPALGjpChxfXFF1+4LOvevbt99OjRzvcFBQX2evXq2SdOnGjeL1myxH7VVVc51z/44IP2KVOmlGOuI48v5eQwb948+zXXXFNueY1kvpZTdna2vW/fvvYPP/ywXPMbicpyLjncc8899unTp/s9r5HMl3J64okn7A0aNLA3btzYXqNGDXvVqlXt48ePL/e8RworzqVHH33U/sEHH/g9r5FMfCinpUuX2gcPHuxc/+KLL5pHoFBjEcJyc3PNLwkXX3yxc1l0dLR5r1Gr6t69u+l4pc2fTpw4Id99952JdBFc5YTQKCe97t92220ycOBA+cMf/hDA3EYmb8pIayd0EASVkZFhmhnoqHgIrnLSJlA6ytru3btNp+1Ro0bJuHHjKKYgKiP9Jd1xLun9w9y5c02fTQRXOV1wwQWm9iI9PV1sNpu55rVt2zZgxRS43h0osyNHjpg23rVr13ZZru+1Q5zSDjyTJk0yw5DpF+6xxx5jdJQgLCelFwptvqEXc20brkOZ9uzZs7yzG7G8KaclS5aYamkdftHRDvajjz4yw/shOMpoz549ctdddzk7bd9///2UT5Be8xDcZaRBug6DrjStBn96E4vgu897/vnnpV+/fuaaN3jwYPn9738fsGIisIgAV1xxhXkguP3www+BzgJK0KdPHxOgI3hpLe26desCnQ2UgtYCIvg0a9bM/NiF4Dd06NCgGV2NplAhTEc60aEVi3ZM1Pc6FCaCA+UUGiin4EcZhQbKKfhRRqGhZgje5xFYhLD4+HgzQdecOXOcy/TXVH1PE5rgQTmFBsop+FFGoYFyCn6UUWiID8H7PJpCBTntMKWzkjro8Ilaza8ToDRq1MgMQTZixAjp1q2baQLw6quvmjb6I0eODGi+Iw3lFBoop+BHGYUGyin4UUah4US43ecFbDwqeEWHH9ViKvoYMWKEM83rr79ub9SokT0+Pt4MS7Z8+XKObjmjnEID5RT8KKPQQDkFP8ooNMwLs/u8KP0n0MENAAAAgNBGHwsAAAAAZUZgAQAAAKDMCCwAAAAAlBmBBQAAAIAyI7AAAAAAUGYEFgAAAADKjMACAAAAQJkRWAAAAAAoMwILAAAAAGVGYAEAAACgzAgsAAA465lnnpHzzjuP4wEAPiCwAAAAAFBmBBYAgFL77LPPpGPHjlKhQgWpUaOGXHzxxXLy5Emz7r333pO2bdtKYmKitGnTRt566y2Xzy5dutTUCuj6bt26yYwZMyQqKkrWrVtn1s+fP9+8//777+X88883+xg4cKCkpqbKd999Z7ZdtWpVuemmm+TUqVPO7dpsNpk4caI0bdrUfKZz584mnw6O7c6ZM8fst2LFitKrVy/ZunWrWf/vf/9bxo8fL+vXrzfp9KHL7Ha7qclo1KiRJCQkSL169eSBBx7gWwMARcQWXQAAQHEOHjwoN954o7z44osybNgwycrKkkWLFpkb8ClTpsi4cePkjTfeMEHB2rVrZdSoUVKpUiUZMWKEZGZmyuWXXy6XXnqpTJ06Vfbs2SMPPfSQ2/3ozbxuRwOA6667zjz0xl4/d+LECbPv119/XR5//HGTXoOK//73vzJ58mRp2bKlLFy4UG655RZJSUmR/v37O7f7pz/9SSZNmmSW33333XL77bfLkiVL5Prrr5eNGzfKzJkz5YcffjBpk5KS5PPPP5e///3v8sknn0j79u3l0KFDJvgAABRhBwCgFNasWWPX/z527959zrrmzZvbp06d6rJswoQJ9p49e5rXb7/9tr1GjRr206dPO9e/++67Zntr16417+fNm2fe//DDD840EydONMt27NjhXPbHP/7RPmTIEPM6OzvbXrFiRfvSpUtd9n3HHXfYb7zxRo/b/eabb8wyR36efvppe+fOnV22MWnSJHurVq3subm5fE8AoBg0hQIAlIo2MRo0aJBpCjV8+HB59913JT093TSF2rFjh9xxxx1SuXJl5+O5554zy5U2O+rUqZNpBuXQvXt3t/vRdA61a9c2NRfNmjVzWabNo9T27dtNs6jf/e53Lvv+8MMPnft2t926deuaZ8d23NG/8fTp02bfWvvyxRdfSH5+Pt8aACiCplAAgFKJiYmR2bNnm74Ss2bNMs2RtHnRV199ZdZroNGjR49zPlNacXFxztfa36Hwe8cy7VehtGmU+uabb6R+/fou6bT5VHHbVY7tuNOwYUMTEGnzKP277733XnnppZdkwYIF5+QJACIZgQUAoNT0hrx3797moX0qGjdubPopaMfmnTt3ys033+z2c61btzb9IHJycpw3/KtWrSpzCbRr185sb+/evS79KUorPj5eCgoKzlmuncG1b4g+Ro8ebTql//TTT9KlS5cy5hwAwgeBBQCgVFasWGFGVho8eLDUqlXLvE9LSzOjNemoSjpiknZ6vuSSS0wAsXr1atNUasyYMWYkJ63duOuuu+SJJ54wgcDLL7/sUnvgiypVqsijjz4qDz/8sKl96NOnj2RkZJhgR0eQ0o7j3mjSpIns2rXLjFDVoEEDs92PP/7YBBtaC6PNsTQw0kBDgykAwG8ILAAApaI36jri0quvvmpGedIbbB1laejQoWa93nxrU6GxY8ea0aC0L4Zj5Cf9rDaZuueee8yQs7pOazw04Cjc78IXEyZMMCM96ehQWmtSrVo1U6Pw1FNPeb2Na665Rv73v//JgAED5Pjx4/LBBx+Y7fztb38zgZEGGJpn/Rt0mF0AwG+itAd3ofcAAJQrHaJ25MiRpoZBawIAAKGJGgsAQLnSkZp0hCXtZK3zQeg8FDpHBUEFAIQ2AgsAQLnSCea0+ZM+63CvOpzrX//6V0oBAEIcTaEAAAAAlBkT5AEAAAAoMwILAAAAAGVGYAEAAACgzAgsAAAAAJQZgQUAAACAMiOwAAAAAFBmBBYAAAAAyozAAgAAAICU1f8DhAZ1ZS8HDWMAAAAASUVORK5CYII=",
            "text/plain": [
              "<Figure size 800x500 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "import matplotlib.pyplot as plt\n",
        "\n",
        "fig, ax = plt.subplots(figsize=(8, 5))\n",
        "ax.plot(\n",
        "    a5_segments_gdf[\"segments\"],\n",
        "    a5_segments_gdf[\"cell_area\"],\n",
        "    marker=\"o\",\n",
        ")\n",
        "ax.set_xscale(\"log\")\n",
        "ax.set_xlabel(\"segments\")\n",
        "ax.set_ylabel(\"cell_area (m²)\")\n",
        "ax.set_title(\"A5 cell area by segments\")\n",
        "ax.grid(True, which=\"both\", alpha=0.3)\n",
        "plt.tight_layout()\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "markdown",
      "id": "b97db507",
      "metadata": {},
      "source": [
        "### Area error by theoretical mean area\n",
        "\n",
        "`area_error = 100 * abs(norm_area - 1)` (percent)\n",
        "\n",
        "Log-log scale makes the convergence after `segments > 100` easier to see."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "id": "1869afb5",
      "metadata": {},
      "outputs": [
        {
          "data": {
            "image/png": 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",
            "text/plain": [
              "<Figure size 800x500 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "fig, ax = plt.subplots(figsize=(8, 5))\n",
        "ax.plot(\n",
        "    a5_segments_gdf[\"segments\"],\n",
        "    a5_segments_gdf[\"area_error\"],\n",
        "    marker=\"o\",\n",
        ")\n",
        "ax.set_xscale(\"log\")\n",
        "ax.set_yscale(\"log\")\n",
        "ax.set_xlabel(\"A5 segments\")\n",
        "ax.set_ylabel(\"Area error (%)\")\n",
        "ax.set_title(\"A5 area error by segments\")\n",
        "ax.grid(True, which=\"both\", alpha=0.3)\n",
        "plt.tight_layout()\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "markdown",
      "id": "7",
      "metadata": {},
      "source": [
        "### Plot geometries"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 3,
      "id": "8",
      "metadata": {},
      "outputs": [
        {
          "data": {
            "text/plain": [
              "<Axes: >"
            ]
          },
          "execution_count": null,
          "metadata": {},
          "output_type": "execute_result"
        },
        {
          "data": {
            "image/png": 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",
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "a5_segments_gdf.plot(edgecolor=\"black\", alpha=0.4)"
      ]
    }
  ],
  "metadata": {
    "kernelspec": {
      "display_name": ".venv",
      "language": "python",
      "name": "python3"
    },
    "language_info": {
      "codemirror_mode": {
        "name": "ipython",
        "version": 3
      },
      "file_extension": ".py",
      "mimetype": "text/x-python",
      "name": "python",
      "nbconvert_exporter": "python",
      "pygments_lexer": "ipython3",
      "version": "3.13.11"
    }
  },
  "nbformat": 4,
  "nbformat_minor": 5
}
