MohitLamba94/visualizing-2d-dft.ipynb

## visualizing-2d-dft.ipynb
{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "name": "Visualizing 2D DFT.ipynb",
      "provenance": [],
      "authorship_tag": "ABX9TyNDdPSWPUv/Ed76wdXJa7s8",
      "include_colab_link": true
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    },
    "language_info": {
      "name": "python"
    }
  },
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "view-in-github",
        "colab_type": "text"
      },
      "source": [
        "<a href=\"https://colab.research.google.com/gist/MohitLamba94/02bcad68de83de2e2baca187d227ecba/visualizing-2d-dft.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "eQJIksWNiFNJ"
      },
      "source": [
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "%matplotlib inline\n",
        "\n",
        "def fft_decompose(img):\n",
        "  img_fft = np.fft.fftshift(np.fft.fft2(img,axes=(0,1)),axes=(0,1))\n",
        "  return np.abs(img_fft), np.angle(img_fft)\n",
        "\n",
        "def plot_it(img,amp):\n",
        "  # plt.figure(figsize=(40,20\n",
        "  fig, axs = plt.subplots(1, 3,figsize=(18,10))\n",
        "  axs[0].imshow(img,cmap='gray')\n",
        "  axs[0].set_title('Input image')\n",
        "  # axs[1].imshow(np.log(1+amp),cmap='gray')\n",
        "  axs[1].imshow(amp,cmap='gray')\n",
        "  axs[1].set_title('2D DFT')\n",
        "  # axs[2].imshow(np.log(1+amp[100:-100,100:-100]),cmap='gray')\n",
        "  axs[2].imshow(amp[100:-100,100:-100],cmap='gray')\n",
        "  axs[2].set_title('2D DFT center zoom')\n",
        "  plt.show()\n",
        "  \n",
        "\n",
        "img = np.zeros((300,300))\n"
      ],
      "execution_count": 49,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "id": "fgdJelxnlNcv",
        "outputId": "7a1989b8-c430-460f-8b5e-c512fa022c23"
      },
      "source": [
        "imgm = np.copy(img)\n",
        "imgm[123,:] = np.ones((1,300))\n",
        "amp,phase = fft_decompose(imgm)\n",
        "plot_it(imgm,amp)\n",
        "\n",
        "imgm = np.copy(img)\n",
        "imgm[115:130,:] = np.ones((15,300))\n",
        "amp,phase = fft_decompose(imgm)\n",
        "plot_it(imgm,amp)\n",
        "\n",
        "imgm = np.copy(img)\n",
        "imgm[100:200,:] = np.ones((100,300))\n",
        "amp,phase = fft_decompose(imgm)\n",
        "plot_it(imgm,amp)\n",
        "\n",
        "imgm = np.copy(img)\n",
        "imgm[50,:] = np.ones((1,300))\n",
        "amp,phase = fft_decompose(imgm)\n",
        "plot_it(imgm,amp)\n",
        "\n",
        "imgm = np.copy(img)\n",
        "imgm[50,:] = np.ones((1,300))\n",
        "imgm[-50,:] = np.ones((1,300))\n",
        "amp,phase = fft_decompose(imgm)\n",
        "plot_it(imgm,amp)\n",
        "\n",
        "imgm = np.copy(img)\n",
        "imgm[100,:] = np.ones((1,300))\n",
        "imgm[-100,:] = np.ones((1,300))\n",
        "amp,phase = fft_decompose(imgm)\n",
        "plot_it(imgm,amp)\n",
        "\n",
        "imgm = np.copy(img)\n",
        "imgm[45:55,:] = np.ones((10,300))\n",
        "imgm[-55:-45,:] = np.ones((10,300))\n",
        "amp,phase = fft_decompose(imgm)\n",
        "plot_it(imgm,amp)\n",
        "\n",
        "imgm = np.copy(img)\n",
        "imgm[95:105,:] = np.ones((10,300))\n",
        "imgm[-105:-95,:] = np.ones((10,300))\n",
        "amp,phase = fft_decompose(imgm)\n",
        "plot_it(imgm,amp)\n",
        "\n",
        "imgm = np.copy(img)\n",
        "imgm[45:55,:] = np.ones((10,300))\n",
        "imgm[-55:-45,:] = np.ones((10,300))\n",
        "imgm[95:105,:] = np.ones((10,300))\n",
        "imgm[-105:-95,:] = np.ones((10,300))\n",
        "amp,phase = fft_decompose(imgm)\n",
        "plot_it(imgm,amp)\n",
        "\n",
        "imgm = np.copy(img)\n",
        "imgm[50,:] = np.ones((1,300))\n",
        "imgm[100,:] = np.ones((1,300))\n",
        "imgm[150,:] = np.ones((1,300))\n",
        "imgm[200,:] = np.ones((1,300))\n",
        "imgm[250,:] = np.ones((1,300))\n",
        "amp,phase = fft_decompose(imgm)\n",
        "plot_it(imgm,amp)\n",
        "\n",
        "imgm = np.copy(img)\n",
        "# imgm[50,:] = np.ones((1,256))\n",
        "imgm[100,:] = np.ones((1,300))\n",
        "# imgm[150,:] = np.ones((1,256))\n",
        "imgm[200,:] = np.ones((1,300))\n",
        "# imgm[250,:] = np.ones((1,256))\n",
        "amp,phase = fft_decompose(imgm)\n",
        "plot_it(imgm,amp)\n",
        "\n",
        "imgm = np.copy(img)\n",
        "for idx in range(10,300,10):\n",
        "  imgm[idx,:] = np.ones((1,300))\n",
        "amp,phase = fft_decompose(imgm)\n",
        "plot_it(imgm,amp)\n",
        "\n",
        "imgm = np.copy(img)\n",
        "for idx in range(10,300,10):\n",
        "  imgm[:,idx] = np.ones((300))\n",
        "amp,phase = fft_decompose(imgm)\n",
        "plot_it(imgm,amp)\n",
        "\n",
        "imgm = np.copy(img)\n",
        "for idx in range(50,300,50):\n",
        "  imgm[:,idx] = np.ones((300))\n",
        "amp,phase = fft_decompose(imgm)\n",
        "plot_it(imgm,amp)\n",
        "\n",
        "imgm = np.copy(img)\n",
        "for idx in range(100,300,100):\n",
        "  imgm[:,idx] = np.ones((300))\n",
        "amp,phase = fft_decompose(imgm)\n",
        "plot_it(imgm,amp)\n",
        "\n",
        "imgm = np.copy(img)\n",
        "# for idx in range(50,300,50):\n",
        "imgm[:,150] = np.ones((300))\n",
        "amp,phase = fft_decompose(imgm)\n",
        "plot_it(imgm,amp)"
      ],
      "execution_count": 58,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 1296x720 with 3 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 1296x720 with 3 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 1296x720 with 3 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 1296x720 with 3 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 1296x720 with 3 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 1296x720 with 3 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 1296x720 with 3 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 1296x720 with 3 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 1296x720 with 3 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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ExNkRMT57/gVJcyLiVElzsucAgOpiLEafcu+996aOAAAAqqwa11CYJmlS9vgeSU9K+vzBXnD66adrxowZVYgCAD3z7ne/O3WEw1XxWAzkacGCBakjAACAKutpoRCSHrMdkv5PRMyQ1BQRLdn8VklNXb3Q9nRJ0yWpf//+uv3223sYBQDqVi5jMQAAAFCJnhYK74qINbZHS3rc9kvlMyMish3cP5Lt8M6QJNvx9NNP9zAKANSt3Mbi6kcFAABAUfToGgoRsSb73i7pZ5ImSGqz3SxJ2ff2noYEABwYYzEAAABSOOxCwfZg20P3PZb0HkkvSJol6cZssRslPdTTkACArjEWo6+aOXNm6ggAAKDKenLKQ5Okn9ne9z7/HBG/sL1A0n22b5H0uqTrex4TAHAAjMXok+64447UEQAAQJUddqEQESsk/XkX0zdImtyTUACA7mEsRl+1cuXK1BEAAECV9egaCgAAAAAAoD5RKAAAAAAAgIpRKAAAAACHyfbxtp+w/aLtpbY/nU0faftx269m30ekzor6ceSRR2rs2LE6+eSTNWbMGA0cODB1JBQUhQIAAMjdo48+mjoC0Ft2S/psRJwhaaKkT9o+Q9IXJM2JiFMlzcmeA72iublZ11xzjaZPn66rr75aTU1NqSOhoCgUAABA7m644YbUEYBeEREtEfHb7PGbkpZJOlbSNEn3ZIvdI+m9aRKiHo0YMULnnnuuLrvsMp1zzjkaNmxY6kgoqJ7cNhIAAKBLmzZtSh0B6HW2T5J0jqR5kpoioiWb1arSbX67es10SdN7Ix/qx/bt27VmzRotX75ca9eu1VtvvZU6EgqKQgEAAADoIdtDJP1U0mciYrPtt+dFRNiOrl4XETMkzcjeo8tlgEqtXbtWs2fP1rPPPqvXX39d7e3tqSOhoCgUAAAAgB6wfYRKZcKPIuKBbHKb7eaIaLHdLIn/0aHXdHR06Nlnn9Xy5cu1efNmdXZ2po6EguIaCgAAAMBhculQhLslLYuIu8pmzZJ0Y/b4RkkP9XY21LeIUERo7969qaOgwCgUAABA7n7zm9+kjgD0lgslfUjSpbYXZ19TJX1V0uW2X5V0WfYcAAqFUx4AAEDuJk2alDoC0Csi4t8k+QCzJ/dmFgDobRyhAAAAcrdr167UEQAAQJVRKAAAAAAAgIpRKAAAAAAAgIpRKAAAAAAAgIpRKAAAgNwtWLAgdQQAAFBlFAoAACB35513XuoIAACgyigUAAAAAABAxSgUAAAAAABAxSgUAAAAAABAxRpTBwAAAMVjO3UEAKhbw4YN0xlnnKHm5matXr1aW7Zs0datW1PHQgFRKAAAgNzNmzdPDQ0NqWMAQF0aO3aspk2bpnPPPVfPPPOM3njjDbW2tqaOhQKiUAAAALmbMGFC6ggAULcGDx6sU045RWeddZZaW1s1ePDg1JFQUBQKAAAAAFAgnZ2dWrJkifr166elS5dq8+bNqSOhoCgUAAAAAKBAWlpaNHv2bM2fP18tLS1qa2tLHQkFRaEAAAAAAAWydetWvfbaa9qwYYM6Ozu1bdu21JFQUNw2EgAA5G7gwIGpIwAAgCqjUAAAALl77LHHUkcAAABVRqEAAAByd/HFF6eOAAAAqoxCAQAAAAAAVIxCAQAAAAAAVIxCAQAAAAAAVIxCAQAA5G7UqFGpIwAAgCqjUAAAALn7/ve/nzoCAACoMgoFAACQu6uvvjp1BAAAUGUUCgAAAAAAoGIUCgAAAAAAoGIUCgAAAABQILbVr18/NTY2qrGxUbZTR0JBNaYOAAAAiue0007TokWLUscAgLp09NFH68ILL9RJJ52k5cuXa+vWrdqyZUvqWCggjlAAAAC5u+OOO1JHAIC6NWbMGE2dOlU333yzpkyZoqamptSRUFCHLBRsf892u+0XyqaNtP247Vez7yOy6bb9D7aX215ie1w1wwNAvWAsRq256aabUkcAgLrVv39/DR8+XKNGjdJRRx2lxkYOTEd1dOcIhR9ImrLftC9ImhMRp0qakz2XpCslnZp9TZf07XxiAkDd+4EYiwEAQDesX79ev/nNbzRr1iw988wz2rRpU+pIKKhDVlUR8WvbJ+03eZqkSdnjeyQ9Kenz2fR7IyIkzbU93HZzRLQc7GcMHTpUEyZMqCw5APSCOXPmpI4gqXfGYgAAUAytra165JFH9Mwzz2jDhg1qa2tLHQkFdbjHvjSV7Zi2Stp3Us6xklaVLbc6m/ZHO7G2p6v0mzONHj1at91222FGAYDq6SuFwgHkOhYDAIBi2LlzpzZu3Khdu3aps7NTu3btSh0JBdXjk2kiImzHYbxuhqQZkmQ7rrjiip5GAYC6lddYnHsw1K2LLrqIuzwAAFBwh3uXhzbbzZKUfW/Ppq+RdHzZcsdl0wAA+WMsRp81bdq01BEAAECVHW6hMEvSjdnjGyU9VDb9w9kVxidK6uScXQCoGsZi9Fmf+9znUkcAAABVdshTHmzPVOmiX8fYXi3pbyV9VdJ9tm+R9Lqk67PFH5E0VdJySdskfaQKmQGg7jAWAwAAoK/pzl0e/uIAsyZ3sWxI+mRPQwEA/hBjMQAAAPqawz3lAQAAAAAA1DEKBQAAkLv3v//9qSMAAIAqo1AAAAC5O/HEE1NHAAAAVUahAAAAcnfnnXemjgAAAKqMQgEAAAAAAFSMQgEAAAAAAFTskLeNBAAAAADUjsbGRg0aNEjDhg3Tnj171NDQkDoSCoojFAAAQO5uvfXW1BEAoG41NTXpiiuu0Ac/+EFdcsklGjVqVOpIKCgKBQAAkLt169aljgAAdWvUqFG69NJLdf311+uSSy7RMccckzoSCopCAQAA5G7mzJmpIwBA3YoI7dy5U7t27dLu3bsVEakjoaC4hgIAAAAAFEhbW5sef/xxrVy5UsuWLVN7e3vqSCgoCgUAAAAAKJB169bpV7/6lX7729+qo6NDGzZsSB0JBcUpDwAAAEAP2W6w/azth7PnJ9ueZ3u57X+x3T91RtSPPXv2aOfOndq+fbveeust7d27N3UkFBSFAgAAyN1XvvKV1BGA3vZpScvKnn9N0jci4k8lbZJ0S5JUAFBFFAoAACB3jz32WOoIQK+xfZykqyR9N3tuSZdKuj9b5B5J702TDgCqh0IBAADk7oknnkgdAehN/0vSbZL2HVd+tKSOiNidPV8t6diuXmh7uu2FthdWPyYA5ItCAQAAADhMtq+W1B4Riw7n9RExIyLGR8T4nKMBQNVxlwcAAADg8F0o6VrbUyUNlDRM0jclDbfdmB2lcJykNQkzAkBVcIQCAAAAcJgi4vaIOC4iTpJ0g6RfRcRfSnpC0vuzxW6U9FCiiABQNRQKAAAgd3fffXfqCEBqn5f017aXq3RNBT4UAAqHUx4AAEDu7rrrrtQRgF4XEU9KejJ7vELShJR5AKDaOEIBAADkbunSpakjAACAKqNQAAAAAAAAFaNQAAAAAAAAFaNQAAAAAIACGThwoMaMGaMTTjhBTU1NGjBgQOpIKCguyggAAHL34IMP6vjjj08dAwDq0pgxY3TVVVfprLPO0rPPPqsNGzZo48aNqWOhgDhCAQAA5O7jH/946ggAULdGjhypCRMm6IorrtD48eM1fPjw1JFQUBQKAAAgd62trakjAEDd2rFjh9ra2vT666+rra1NO3fuTB0JBcUpDwAAAABQIGvXrtXs2bO1ePFirVy5Um1tbakjoaAoFAAAAACgQDo6OrRo0SK9/PLL2rx5szo7O1NHQkFxygMAAAAAFEhEaO/evX/wHagGCgUAAJC7J598MnUEAABQZRQKAAAgd1deeWXqCAAAoMooFAAAQO62b9+eOgIAAKgyCgUAAAAAAFAxCgUAAAAAAFAxCgUAAAAAAFAxCgUAAJC7efPmpY4AAACqjEIBAADkbuLEiakjAACAKqNQAAAAuYuI1BEAAECVHbJQsP092+22Xyib9iXba2wvzr6mls273fZy2y/bvqJawQGgnjAWAwAAoK/pzhEKP5A0pYvp34iIs7OvRyTJ9hmSbpB0Zvaa/9d2Q15hAaCO/UCMxQAAAOhDDlkoRMSvJW3s5vtNk/TjiNgRESslLZc0oQf5AABiLAYAAN03dOhQveMd79D48eN1+umna8iQIakjoaAae/DaT9n+sKSFkj4bEZskHStpbtkyq7NpB3Xuuedq4cKFPYgCANVhO3WEQ8ltLAbytHDhwlr4/ABAIY0dO1bXXnutxo0bp7lz52rVqlVqa2tLHQsFdLiFwrcl/TdJkX2/U9LNlbyB7emSppc9P8woAFC3ch+LgbyMHz8+dQQAqFtDhgzRqaeeqnPOOUfr16/nCAVUzWEVChHxdr1l+zuSHs6erpF0fNmix2XTunqPGZJmZO/BpaABoEKMxQAAoCudnZ168cUXNWDAAL300kvavHlz6kgoqMMqFGw3R0RL9vR9kvZddXyWpH+2fZeksZJOlTS/xykBAH+EsRgAAHSltbVVs2bN0rx587R27VpOd0DVHLJQsD1T0iRJx9heLelvJU2yfbZKh9m+JuljkhQRS23fJ+lFSbslfTIi9lQnOgDUD8ZiAADQXVu2bNHvfvc7tbe3q7OzU9u2bUsdCQXliPRHuHKYLYA+bFFE1MXJ4IzFyNP555+vefPmpY6BgoiIurjYFuMw8jJkyBCNHTtWQ4cOVWdnp1paWrR169bUsVDbutwnPuRtIwEAACr11FNPpY4AAACqjEIBAADk7oILLkgdAQAAVBmFAgAAAAAAqBiFAgAAAAAAqBiFAgAAAAAAqBiFAgAAyN2wYcNSRwAAAFVGoQAAAHL3wAMPpI4AAACqjEIBAADk7rLLLksdAQAAVBmFAgAAAAAAqBiFAgAAAAAAqBiFAgAAAAAUiG3169dPDQ0NamhokO3UkVBQFAoAACB3J5xwQuoIAFC3Ro4cqYkTJ+rKK6/UhAkTNHz48NSRUFAUCgAAIHd33nln6ggAULeam5t11VVX6ZZbbtGUKVPU1NSUOhIKikIBAADk7rrrrksdAQDqVv/+/XX00UerublZI0eO1BFHHJE6EgqqMXUAAAAAAEB+NmzYoGeeeUabN2/W4sWL1dHRkToSCopCAQAAAAAKpLW1VT//+c81d+5crVu3Tm1tbakjoaAoFAAAAACgQHbs2KH169drx44d6uzs1M6dO1NHQkFxDQUAAJC7cePGpY4AAACqjEIBAADk7qMf/WjqCAAAoMooFAAAQO4+8YlPpI4AAACqjEIBAAAAAABUjEIBAAAAAABUjEIBAAAA6AHbw23fb/sl28tsX2B7pO3Hbb+afR+ROicA5I1CAQAA5G7KlCmpIwC96ZuSfhER75D055KWSfqCpDkRcaqkOdlzACgUCgUAAJC7888/P3UEoFfYPkrSxZLulqSI2BkRHZKmSbonW+weSe9NkxAAqodCAQAA5O7LX/5y6ghAbzlZ0jpJ37f9rO3v2h4sqSkiWrJlWiU1dfVi29NtL7S9sJfyAkBuKBQAAACAw9coaZykb0fEOZK2ar/TGyIiJEVXL46IGRExPiLGVz0pAOSMQgEAAAA4fKslrY6Iednz+1UqGNpsN0tS9r09UT4AqBoKBQAAAOAwRUSrpFW2T88mTZb0oqRZkm7Mpt0o6aEE8VCnGhoaNGjQIA0ZMkSDBg1SQ0ND6kgoqMbUAQAAQPHcfPPNWrRoUeoYQG/5z5J+ZLu/pBWSPqLSL+7us32LpNclXZ8wH+rMqFGjNHnyZJ166qlatmyZZs+erc2bN6eOhQKiUAAAALlrbGQXA/UjIhZL6uoaCJN7OwsgSWPGjNFll12mCy+8UE888YTmzp2rFStWpI6FAuKUBwAAkLsZM2akjgAAdSsi/ugLqAZ+fQAAAAAABdLW1qbHH39cK1eu1EsvvaT169enjoSColAAAAAAgAJZt26dfvWrX2nRokXauHEjhQKqhkIBAAAAAApkz5492r59uxobG/XWW29pz549qSOhoLiGAgAAyN0Xv/jF1BEAAECVUSgAAIDcLVmyJHUEAABQZRQKAAAgd7Nnz04dAQAAVBmFAgAAAAAAqBiFAgAAAAAAqBiFAgAAAAAAqNghCwXbx9t+wvaLtpfa/nQ2faTtx22/miqSz7oAABNFSURBVH0fkU237X+wvdz2Etvjqr0SAFB0jMWoNd/61rdSRwAAAFXWnSMUdkv6bEScIWmipE/aPkPSFyTNiYhTJc3JnkvSlZJOzb6mS/p27qkBoP4wFqOm3HvvvakjAACAKms81AIR0SKpJXv8pu1lko6VNE3SpGyxeyQ9Kenz2fR7IyIkzbU93HZz9j5dOv300zVjxoyerAcAVMW73/3u1BEk9c5YDORpwYIFqSMAAIAqO2ShUM72SZLOkTRPUlPZjmmrpKbs8bGSVpW9bHU27Q92Ym1PV+m3Zurfv79uv/32CqMDQH2q1lgMAAAAVKLbhYLtIZJ+KukzEbHZ9tvzIiJsRyU/OCJmSJqRvXc8/fTTlbwcAOpStcfiPLMCAACg2Lp1lwfbR6i0A/ujiHggm9xmuzmb3yypPZu+RtLxZS8/LpsGAOgBxmIAANAdAwYM0OjRo3Xcccdp9OjRGjBgQOpIKKju3OXBku6WtCwi7iqbNUvSjdnjGyU9VDb9w9kVxidK6uScXQDoGcZi1JqZM2emjgAAdau5uVlXXXWVbrnlFk2ZMkWjR49OHQkF1Z1THi6U9CFJz9tenE27Q9JXJd1n+xZJr0u6Ppv3iKSpkpZL2ibpI7kmBoD6xFiMmnLHHXekjgAAdWvkyJGaOHGiLrroIvXv31+PPPJI6kgoqO7c5eHfJPkAsyd3sXxI+mQPcwEAyjAWo9asXLkydQQAqFs7duzQunXrtGbNGq1bt067du1KHQkFVdFdHgAAAAAAfVtra6sefvhhPf/881qxYoXa2tpSR0JBUSgAAAAAQIFs3LhR8+fP14svvqg333xTHR0dqSOhoLp1lwcAAAAAQG2ICO3du1cRoT179qh0JiSQPwoFAACQu0cffTR1BAAAUGUUCgAAIHc33HBD6ggAAKDKKBQAAEDuNm3alDoCAACoMgoFAAAAAABQMQoFAAAAAABQMQoFAAAAAABQMQoFAACQu9/85jepIwAAgCqjUAAAALmbNGlS6ggAAKDKKBQAAEDudu3alToCAACoMgoFAAAAAABQMQoFAAAAAABQscbUAQAAAAAA+RkyZIj+5E/+RGPGjFFLS4s2b96srVu3po6FAqJQAAAAuVuwYIH69eNASABIYezYsXrve9+rc845R/PmzdPatWvV3t6eOhYKiEIBAADk7rzzzksdAQDq1tChQ/WOd7xD5513njo6OjRkyJDUkVBQFAoAAAAAUCBvvvmmXn75ZQ0ePFivvvqqtmzZkjoSCopCAQAAAAAKpKWlRbNmzdL8+fO1Zs0atba2po6EgqJQAAAAAIACefPNN/XKK6+opaVFnZ2dXJARVcPVkgAAQO5sp44AAACqjEIBAADkbt68eakjAACAKqNQAAAAuZswYULqCAAAoMooFAAAAAAAQMUoFAAAAAAAQMUoFAAAAAAAQMUoFAAAQO4GDhyYOgIAAKgyCgUAAJC7xx57LHUEAABQZRQKAAAgdxdffHHqCAAAoMooFAAAAAAAQMUoFAAAAAAAQMUoFAAAAIAesP1XtpfafsH2TNsDbZ9se57t5bb/xXb/1DlRP2yrX79+sq2GhgbZTh0JBUWhAAAAcjdq1KjUEYBeYftYSbdKGh8R/05Sg6QbJH1N0jci4k8lbZJ0S7qUqDcjRozQ+PHjdfnll2vcuHE66qijUkdCQVEoAACA3H3/+99PHQHoTY2SjrTdKGmQpBZJl0q6P5t/j6T3JsqGOtTc3KxrrrlGH/vYxzR16lQ1NTWljoSColAAAAC5u/rqq1NHAHpFRKyR9HVJb6hUJHRKWiSpIyJ2Z4utlnRsV6+3Pd32QtsLeyMv6sOAAQM0evRoHXfccRo1apT69+eMG1RHY+oAAAAAQK2yPULSNEknS+qQ9BNJU7r7+oiYIWlG9l5RjYyoPxs3btS8efO0ZcsWLV68WB0dHakjoaAoFAAAAIDDd5mklRGxTpJsPyDpQknDbTdmRykcJ2lNwoyoMy0tLXr44Yc1d+5ctbe3q729PXUkFBSnPAAAAACH7w1JE20PculS+pMlvSjpCUnvz5a5UdJDifKhDu3YsUPt7e1atWqV2tvbtWPHjtSRUFAUCgAAIHennXZa6ghAr4iIeSpdfPG3kp5Xaf96hqTPS/pr28slHS3p7mQhAaBKHJH+VC3OFwPQhy2KiPGpQ/QGxmLk6fnnn9dZZ52VOgYKIiKcOkNvYBxGXoYMGaKxY8dq6NCh6uzsVEtLi7Zu3Zo6Fmpbl/vEhzxCwfbxtp+w/aLtpbY/nU3/ku01thdnX1PLXnO77eW2X7Z9Rb7rAQD1hXEYteimm25KHQEAAFRZdy7KuFvSZyPit7aHSlpk+/Fs3jci4uvlC9s+Q9INks6UNFbSL22fFhF78gwOAHWEcRgAAAB9ziELhYhoUemeuoqIN20v0wHuo5uZJunHEbFD0srsvLEJkp450AuGDh2qCRMmVBQcAHrDnDlzUkfolXEYAAAAqFRFt420fZKkcyTNU+l2OJ+y/WFJC1X67dkmlXZy55a9bLW62PG1PV3SdEkaPXq0brvttsOIDwDV1RcKhXJ5jsPZ+709FgMAAACV6HahYHuIpJ9K+kxEbLb9bUn/TVJk3++UdHN33y8iZqh0BVzZjiuu4BRfADiYvMdh6Y/H4nwTo55ddNFFWrRoUeoYAACgirp120jbR6i0E/ujiHhAkiKiLSL2RMReSd9R6XBaSVoj6fiylx+XTQMAHCbGYdSaadOmpY4AAACqrDt3ebBK981dFhF3lU1vLlvsfZJeyB7PknSD7QG2T5Z0qqT5+UUGgPrCOIxa9LnPfS51BAAAUGXdOeXhQkkfkvS87cXZtDsk/YXts1U61PY1SR+TpIhYavs+SS+qdGXyT3JlcQDoEcZhAAAA9DnducvDv0lyF7MeOchr/oek/9GDXACADOMwAAAA+qKK7vIAAAAAAOjbGhoaNHDgQB155JHasWOHGhoaUkdCQXXroowAAACVeP/73586AgDUrVGjRunSSy/VBz7wAU2aNEkjR45MHQkFRaEAAAByd+KJJ6aOAAB1q6mpSZdffrk+9KEPafLkyRo9enTqSCgoCgUAAJC7O++8M3UEAKhbttXQ0KCGhgb169dPpRtGAfnjGgoAAAAAUCDt7e2aM2eO3njjDS1btkzr169PHQkFRaEAAAAAAAXS3t6uxx9/XAsWLNCmTZu0bt261JFQUBQKAAAAAFAgu3fv1rZt29TQ0KCtW7dqz549qSOhoLiGAgAAyN2tt96aOgIAAKgyCgUAAJA7Dq8FAKD4KBQAAEDuZs6cmToCAACoMgoFAAAAAABQMQoFAAAAAABQMQoFAAAAAABQMQoFAACQu6985SupIwAAgCqjUAAAALl77LHHUkcAAABVRqEAAABy98QTT6SOAAAAqoxCAQAAAAAAVIxCAQAAAAAAVIxCAQAAAAAKpH///ho5cqSam5t19NFHq3///qkjoaAaUwcAAADFc/fdd+vss89OHQMA6lJzc7OuuuoqnXnmmXruuefU0dGhTZs2pY6FAqJQAAAAubvrrrtSRwCAunX00Ufrwgsv1EUXXaQjjzxSjz76aOpIKChOeQAAALlbunRp6ggAULd27typjRs3qrW1VZs2bdKuXbtSR0JBcYQCAAAAABRIS0uLfv7zn+uFF17QihUr1N7enjoSCopCAQAAAAAKZOPGjXrmmWe0dOlSdXZ2cv0EVA2nPAAAAABAgUSE9u7dqz179mjPnj2KiNSRUFAUCgAAIHcPPvhg6ggAAKDKKBQAAEDuPv7xj6eOAAAAqoxCAQAA5K61tTV1BAAAUGUUCgAAAAAAoGIUCgAAAAAAoGIUCgAAAAAAoGIUCgAAIHdPPvlk6ggAAKDKKBQAAEDurrzyytQRAABAlVEoAACA3G3fvj11BAAAUGUUCgAAAAAAoGIUCgAAAAAAoGKNqQMAAAAAAPIzePBgnXLKKWpqatLatWvV2dmprVu3po6FAqJQAAAAuZs3b54aG9nNAIAUmpubde211+rss8/W/Pnz1dLSonXr1qWOhQLiX3oAAJC7iRMnpo4AAHXrqKOO0plnnqkLLrhAW7Zs0bBhw1JHQkFRKAAAgNxFROoIAFC3tmzZouXLl+uoo47SihUrON0BVUOhAAAAAAAFsnbtWj300ENasGCBVq9erdbW1tSRUFAUCgAAAABQIG+++aZeeuklrVmzRp2dndqyZUvqSCgobhsJAAAAAAAq5r5wjqPtdZK2SlqfOksPHSPWoS8owjpIxViPIqzDiRExKnWI3mD7TUkvp87RQ0X4OycVYz1Yh76hCOtQT+PwOkmvqxjbrbtY12JiXYuny7G4TxQKkmR7YUSMT52jJ1iHvqEI6yAVYz2KsA71pAjbqwjrIBVjPViHvqEI61CP6mm7sa7FxLrWD055AAAAAAAAFaNQAAAAAAAAFetLhcKM1AFywDr0DUVYB6kY61GEdagnRdheRVgHqRjrwTr0DUVYh3pUT9uNdS0m1rVO9JlrKAAAAAAAgNrRl45QAAAAAAAANYJCAQAAAAAAVCx5oWB7iu2XbS+3/YXUebrL9mu2n7e92PbCbNpI24/bfjX7PiJ1zv3Z/p7tdtsvlE3rMrdL/iHbNktsj0uX/PcOsA5fsr0m2x6LbU8tm3d7tg4v274iTeo/ZPt420/YftH2UtufzqbXzLY4yDrU1LZACWNx7ynCOCzV/lhchHFYYiwumlodi7uj0s9cEdhusP2s7Yez5yfbnpdt33+x3T91xjzYHm77ftsv2V5m+4Kiblfbf5X9/X3B9kzbA4u6XbstIpJ9SWqQ9DtJp0jqL+k5SWekzFRB9tckHbPftL+X9IXs8RckfS11zi5yXyxpnKQXDpVb0lRJ/yrJkiZKmpc6/0HW4UuSPtfFsmdkf68GSDo5+/vW0AfWoVnSuOzxUEmvZFlrZlscZB1qalvwxVicIHPNj8MHWY+a+fwXYRw+xHrUzLbg6+1tU7NjcTfXr6LPXBG+JP21pH+W9HD2/D5JN2SP/7ek/5Q6Y07reY+kj2aP+0saXsTtKulYSSslHVm2PW8q6nbt7lfqIxQmSFoeESsiYqekH0ualjhTT0xT6QOl7Pt7E2bpUkT8WtLG/SYfKPc0SfdGyVxJw203907SAzvAOhzINEk/jogdEbFS0nKV/t4lFREtEfHb7PGbkpapNEjVzLY4yDocSJ/cFpDEWNyrijAOS7U/FhdhHJYYiwumaGPxHziMz1xNs32cpKskfTd7bkmXSro/W6QQ62r7KJUK5rslKSJ2RkSHCrpdJTVKOtJ2o6RBklpUwO1aidSFwrGSVpU9X62D/yPYl4Skx2wvsj09m9YUES3Z41ZJTWmiVexAuWtt+3wqOwz1e2WHVfX5dbB9kqRzJM1TjW6L/dZBqtFtUcdqedsUZSyuyc/+AdTc578I47DEWFwAdbNtuvmZq3X/S9JtkvZmz4+W1BERu7PnRdm+J0taJ+n72ekd37U9WAXcrhGxRtLXJb2hUpHQKWmRirlduy11oVDL3hUR4yRdKemTti8unxmlY15q7p6ctZpb0rcl/Ymks1X6gN+ZNk732B4i6aeSPhMRm8vn1cq26GIdanJboGYVbiyuxcxlau7zX4RxWGIsRu0oymfuYGxfLak9IhalztILGlU6/e3bEXGOpK0qneLwtgJt1xEqHXlxsqSxkgZLmpI0VB+QulBYI+n4sufHZdP6vKyhUkS0S/qZSoepte07/DH73p4uYUUOlLtmtk9EtEXEnojYK+k7+v3hm312HWwfodI/qD+KiAeyyTW1Lbpah1rcFqjdbVOgsbimPvsHUmuf/yKMwxJjcYEUfttU+JmrZRdKutb2ayqdunKppG+qdKpUY7ZMUbbvakmrI2LfkVH3q1QwFHG7XiZpZUSsi4hdkh5QaVsXcbt2W+pCYYGkU7MrY/aXdIOkWYkzHZLtwbaH7nss6T2SXlAp+43ZYjdKeihNwoodKPcsSR92yURJnWWHLvUp+53H+j6VtodUWocbbA+wfbKkUyXN7+18+8vOo7tb0rKIuKtsVs1siwOtQ61tC0hiLO4LauazfzC19PkvwjgsMRYXTE2Oxd11GJ+5mhURt0fEcRFxkkrb8VcR8ZeSnpD0/myxoqxrq6RVtk/PJk2W9KIKuF1VOtVhou1B2d/nfetauO1akUh/tcypKl3l9XeSvpg6Tzczn6LSlXefk7R0X26Vzo2aI+lVSb+UNDJ11i6yz1Tp0MddKjWKtxwot0pXsv7HbNs8L2l86vwHWYcfZhmXqDSANZct/8VsHV6WdGXq/Fmmd6l06NcSSYuzr6m1tC0Osg41tS34envbMBb3Xu6aH4cPsh418/kvwjh8iPWomW3B1x9sz5obiytYt4o+c0X5kjRJv7/LwykqFXjLJf1E0oDU+XJax7MlLcy27YOSRhR1u0r6sqSXVCppf6jSHXMKuV27++XsDwYAAAAAAKDbUp/yAAAAAAAAahCFAgAAAAAAqBiFAgAAAAAAqBiFAgAAAAAAqBiFAgAAAAAAqBiFAgAAAAAAqBiFAgAAAAAAqNj/DyrXnZWGHQfrAAAAAElFTkSuQmCC\n",
            "text/plain": [
              "<Figure size 1296x720 with 3 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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zz4SOAACpZmYqKytTWVkZQx5QMvRQAAAAsWttbQ0dAQBSq7u7W5s2bVJFRYU2b96s7u7u0JGQUBQUAABA7DKZTOgIAJBaXV1d2rRpk/r7+7Vt2zYKCigZhjwAAIDYrVmzJnQEAEgtd9fg4KD6+/t15MgRuXvoSEgoCgoAACB211xzTegIAACgxCgoAACA2PX09ISOAAAASoyCAgAAiN0LL7wQOgIApFYmk1FNTY3q6upUXV2tsjL+7ENp8MkCAACxu+6660JHAIDUamxs1Pz583XFFVdo/vz5amhoCB0JCcVVHgAAQOx2794dOgIApNbRgsL73/9+dXd3q76+PnQkJBQ9FAAAQOzWr18fOgIApNbo6KiGhoY0ODio4eFhrvKAkqGgAAAAYnfDDTeEjgAAqZXL5bRhwwb97Gc/06uvvqqurq7QkZBQDHkAAACx27hxY+gIAJBaPT092rJliwYGBrRjxw719fWFjoSEoocCAACI3ebNm0NHAIDUcncNDw+/e2PIA0rljAoKZvaGmW0wszYzeylado6Z/cjMtkU/J8UTFQBwPLTFOBvdeOONoSMAAIASi6OHwlXuvsjdl0aP75T0nLvPlfRc9BgAUFq0xTirPP/886EjAACAEivFkIfrJa2O7q+W9MkSvAcA4L3RFiOoHTt2hI4AAKlVXl6u+vp6ZbNZ1dXVKZPJhI6EhDrTgoJL+icze9nMbo6WTXX3PdH9vZKmHu+JZnazmb10tHsuAOC00RbjrLNixYrQEQAgtZqamtTS0qLW1lYtXLhQjY2NoSMhoc70Kg8fcve3zOw8ST8ys9eKV7q7m9lxZwBx90clPSpJJ9oGADAmtMU46zz77LOhIwBAatXX1+viiy9WS0uLDhw4oNra2tCRkFBn1EPB3d+Kfu6X9PeSLpe0z8ymSVL0c/+ZhgQAnBhtMc5GnZ2doSMAQGqNjIyop6dH+XxefX19Gh0dDR0JCXXaBQUzqzOzhqP3Jf2GpFclfV/STdFmN0n63pmGBAAcH20xzla33HJL6AgAkFq5XE4dHR1at26dOjo6lM/nQ0dCQp3JkIepkv7ezI6+zv9w92fM7F8lPWlmKyS9KenTZx4TAHACtMU4Kz311FOhIwBAavX29mr79u0aGRnRzp071dvbGzoSEuq0CwruvkNSy3GWH5J09ZmEAgCMDW0xzlYHDx4MHQEAUsvd5e4aGRlhuANKqhSXjQQAACl32223hY4AAABKjIICAACI3erVq0NHAAAAJUZBAQAAxC6Xy4WOAIwLM7vAzNaY2SYz22hmt0XLzzGzH5nZtujnpNBZkR4VFRXKZrM677zz1NTUpEwmEzoSEoqCAgAAiN3tt98eOgIwXoYlfcnd50v6gKTPm9l8SXdKes7d50p6LnoMjItsNqvFixertbVVLS0tymazoSMhoSgoAACA2D3yyCOhIwDjwt33uPsr0f1uSZslzZB0vaSjY39WS/pkmIRIo7q6Os2aNUsLFizQhRdeqOrq6tCRkFBnctlIAACA4+ISZUgjM5slabGkFyVNdfc90aq9Klzm93jPuVnSzeORD+kxODiow4cPa//+/Tp8+LCGh4dDR0JC0UMBAADE7s476d2NdDGzeknfkfRFd88Xr3N3l+THe567P+ruS9196TjERErkcjmtX79ea9euVUdHh/L5/MmfBJwGeigAAIDYrVq1KnQEYNyYWYUKxYRvuvt3o8X7zGyau+8xs2mS9odLiLTp7+/Xrl27ZGbatWuX+vv7Q0dCQtFDAQAAxG5wcDB0BGBcmJlJ+pqkze7+50Wrvi/ppuj+TZK+N97ZkG7urkLnGKB0KCgAAIDY3X333aEjAOPlSkm/I+nXzKwtun1M0oOSft3Mtkm6JnoMAInCkAcAABC7Bx/kbyekg7v/VJKdYPXV45kFAMYbBQUAABA7ZhQHgHCqqqp07rnnaubMmcrn86qsrAwdCQnFkAcAABC7lStXho4AAKmVzWa1ePFiXXXVVWppaVFTU1PoSEgoCgoAACB2999/f+gIAJBaNTU1mjFjhi666CJNnz5d1dXVoSMhoSgoAACA2I2OjoaOAACpNTg4qP3792v37t06cOAAV95ByVBQAAAAsbvnnntCRwCA1MrlcnrllVe0Zs0atbW1qaurK3QkJBSTMgIAgNhRUACAcPr7+7Vnzx5VVlZq79699FBAydBDAQAAAAAAnDIKCgAAIHb0UAAAIPkoKAAAgNhRUACA8MwsdAQkHHMoAACA2HESCwDhHL1s5Jw5c9TX16eqqqrQkZBQ9FAAAACxW7lyZegIAJBa2WxWixcv1lVXXaVFixapqakpdCQkFAUFAAAQu3vvvTd0BABIraqqKp177rmaOXOmpkyZQg8FlAwFBQAAELtMJhM6AgCkVn9/vzo7O7Vt2za99dZb6uvrCx0JCUVBAQAAxO6uu+4KHQEAUiuXy2n9+vVau3at2tvb1d3dHToSEopJGQEAQOzuu+++0BEAILUGBwd18OBB1dXV6dChQzpy5EjoSEgoeigAAIDYlZfznQUAAElHQQEAAMTujjvuCB0BAACUGAUFAAAQuwceeCB0BABINTN79waUCv0RAQBA7GpqakJHAIDUqqur06xZs3TppZdqeHiYNhklQw8FAAAQu1tvvTV0BABIrWw2q0WLFunDH/6wmpub1djYGDoSEoqCAgAAiN1DDz0UOgIApFZFRYWampp07rnnqqmpiYlyUTJ8sgAAQOz4NgwAwunt7dXOnTs1efJkvfnmmxoYGAgdCQlFDwUAABC7FStWhI4AAKmVy+XU1tamtWvXqr29XblcLnQkJBQFBQAAELtVq1aFjgAAqTU0NKSuri4dPHhQ+XxeIyMjoSMhoSgoAACA2E2ePDl0BAAAUGIUFAAAQOyWL18eOgIAACgxCgoAACB2Dz/8cOgIAJBaZiYzUyaTUVkZf/KhdPh0AQCA2E2bNi10BABIrfr6es2dO1ctLS2aM2eO6urqQkdCQlFQAAAAsbv22mtDRwCA1GpqalJLS4taW1u1cOFCLuWLkjlpQcHMvm5m+83s1aJl55jZj8xsW/RzUrTczOwvzWy7mXWY2ZJShgeAtKAtxkTz2GOPhY4AAKmVyWRUW1urhoYG1dbWMuwBJTOWT9Y3JH30mGV3SnrO3edKei56LEm/KWludLtZ0iPxxASA1PuGaIsxgcyaNSt0BABIrZ6eHm3btk3r16/Xtm3b1NfXFzoSEqr8ZBu4+zozm3XM4uslLYvur5a0VtKXo+WPu7tLesHMsmY2zd33vNd7NDQ06PLLLz+15AAwDp577rnQESSNT1sMxKm1tTV0BABIra6uLrW3t6unp0dbt25VPp8PHQkJddKCwglMLTox3StpanR/hqTdRdt1Rst+6STWzG5W4ZsznXfeebrjjjtOMwoAlM7ZUlA4gVjbYiBOjz/+eOgIAJBaw8PD6u3tVVdXl3p7ezUyMhI6EhLqdAsK73J3NzM/jec9KulRSTIz/8hHPnKmUQAgteJqi2MPhtSaN29e6AgAAKDETnd2jn1mNk2Sop/7o+VvSbqgaLuZ0TIAQPxoi3HWWrKEuUABAEi60y0ofF/STdH9myR9r2j570YzjH9AUhdjdgGgZGiLcdZ64oknQkcAgNQyM1VUVKiyslLl5eUys9CRkFAnHfJgZt9SYdKvKWbWKemrkh6U9KSZrZD0pqRPR5v/UNLHJG2X1CfpsyXIDACpQ1uMiaa5uTl0BABIrcbGRl1yySVauHChysrK9OKLL4aOhIQay1UefusEq64+zrYu6fNnGgoA8ItoizHRzJkzJ3QEAEitxsZGLVy4UB/84Ac1ODiohoaG0JGQUKc75AEAAOCEnn766dARACDVMpkMQx5Qcmd8lQcAAIBjLV26NHQEAEitnp4ebd68WVVVVXrttdfU09MTOhISioICAACI3ZQpU0JHAIDUyufz2rhxo/r6+rRt2zZ1d3eHjoSEYsgDAACI3TPPPBM6AgCk1sjIiAYGBtTX16fBwUGNjo6GjoSEoqAAAABi19raGjoCAAAoMQoKAAAgdplMJnQEAABQYhQUAABA7NasWRM6AgCkViaTUVVVlWpra1VVVaWyMv7sQ2nwyQIAALG75pprQkcAgNRqbGzUZZddpiuuuEKXXnqpGhoaQkdCQnGVBwAAEDsuUQYA4dTX1+vSSy/V5Zdfru7ubtXX14eOhISihwIAAIjdCy+8EDoCAKTayMiIRkZGNDo6KncPHQcJRUEBAADE7rrrrgsdAQBSK5/P69VXX9Xzzz+vjRs3qru7O3QkJBRDHgAAQOx2794dOgIApFY+n9drr72mgYEBbd++nWFoKBl6KAAAgNitX78+dARgXJlZxszWm9kPosezzexFM9tuZn9nZpWhMyI93F1DQ0M6cuSIhoeHGfKAkqGgAAAAYnfDDTeEjgCMt9skbS56/CeSVrn7xZIOS1oRJBUAlBAFBQAAELuNGzeGjgCMGzObKelaSY9Fj03Sr0n6drTJakmfDJMOAEqHggIAAIjd5s2bT74RkBz/RdIdkkajx5Ml5dx9OHrcKWnG8Z5oZjeb2Utm9lLpYyItysvLVVdXp6amJtXW1iqTyYSOhISioAAAAGJ34403ho4AjAsz+7ik/e7+8uk8390fdfel7r405mhIsaamJjU3N+tDH/qQLrvsMtXX14eOhITiKg8AACB2zz//fOgIwHi5UtJ1ZvYxSdWSGiX9haSsmZVHvRRmSnorYEakTH19vebOnaslS5bonXfeoaCAkqGHAgAAiN2OHTtCRwDGhbt/xd1nuvssScsl/X/u/tuS1kg6OjvpTZK+FygiUmhkZEQDAwPq6elRf3+/RkdHT/4k4DRQUAAAALFbsYIJ7ZF6X5b0h2a2XYU5Fb4WOA9SpKurS+3t7Vq3bp02bNigfD4fOhISiiEPAAAgds8++2zoCMC4c/e1ktZG93dIujxkHqRXT0+Ptm/frqGhIb3++uvq7e0NHQkJRQ8FAAAQu87OztARACC13F0jIyMaGRlhuANKioICAACI3S233BI6AgAAKDEKCgAAIHZPPfVU6AgAAKDEKCgAAIDYHTx4MHQEAEitiooKNTU1acqUKWpsbFQmkwkdCQlFQQEAAMTutttuCx0BAFIrm82qpaVFra2tam5uVlNTU+hISCiu8gAAAGK3evXq0BEAILXq6uo0Z84cLVy4UHv37lVNTU3oSEgoeigAAIDY5XK50BEAILWGhobU1dWlgwcPKp/Pa3h4OHQkJBQFBQAAELvbb789dAQASK1cLqe2tjb95Cc/UUdHh/L5fOhISCiGPAAAgNg98sgjoSMAQGr19fXpjTfekCS9+eab6u/vDxsIiUUPBQAAELve3t7QEQAgtdxd7q7R0VG5e+g4SDAKCgAAIHZ33nln6AgAAKDEKCgAAIDYrVq1KnQEAABQYsyhAAAAYjc4OBg6AgCkVlVVlaZMmaLp06crl8upoqIidCQkFD0UAABA7O6+++7QEQAgtbLZrBYvXqxly5Zp0aJFamxsDB0JCUVBAQAAxO7BBx8MHQEAUqumpkYzZ87UvHnzNGPGDNXW1oaOhISioAAAAGI3PDwcOgIApNbg4KAOHDigzs5OHTx4kGFoKBkKCgAAIHYrV64MHQEAUiuXy6mtrU1r165Ve3u7urq6QkdCQjEpIwAAiN39998fOgIApFZ/f786OztVXl6ut99+mx4KKBl6KAAAgNiNjo6GjgAAqefuoSMg4U5aUDCzr5vZfjN7tWjZPWb2lpm1RbePFa37ipltN7MtZvaRUgUHgDShLcZEc88994SOAAAASmwsPRS+Iemjx1m+yt0XRbcfSpKZzZe0XNKC6Dn/r5ll4goLACn2DdEWYwKhoAAAQPKdtKDg7uskvTPG17te0hPuPujuOyVtl3T5GeQDAIi2GAAAjF11dbWmTZum2bNn6/zzz1dVVVXoSEioM5lD4Qtm1hF1w50ULZshaXfRNp3RMgBAadAW46xEDwUACCebzWrx4sVatmyZmpub1dTUFDoSEup0CwqPSLpI0iJJeyT92am+gJndbGYvmdlLp5kBANKOthhnLQoKABBOdXW1pk6dqgsvvFBTp87t15gAAB2YSURBVE6lhwJK5rQKCu6+z91H3H1U0l/p37rSviXpgqJNZ0bLjvcaj7r7UndfejoZACDtaItxNjOz0BEAILX6+/v19ttva8eOHdqzZ48GBgZCR0JCnVZBwcymFT38lKSjs45/X9JyM6sys9mS5kr6lzOLCAA4HtpinM1WrlwZOgIApFYul9P69eu1Zs0atbW1qaurK3QkJFT5yTYws29JWiZpipl1SvqqpGVmtkiSS3pD0uckyd03mtmTkjZJGpb0eXcfKU10AEgP2mJMNPfee2/oCACQWoODg9q/f79qamp08OBBHTlyJHQkJNRJCwru/lvHWfy199j+jyX98ZmEAgD8ItpiTDSZDFcqBQAg6c7kKg8AAADHddddd4WOAAAASoyCAgAAiN19990XOgIApJqZMUEuSu6kQx4AAABOVXk5pxgAEEpNTY0uuOACXXLJJRocHFRNTU3oSEgoeigAAIDY3XHHHaEjAEBqZbNZLV68WMuWLdOiRYvU2NgYOhISioICAACI3QMPPBA6AgCkVlVVlc455xydf/75mjRpkiorK0NHQkLRHxEAAMSO7rUAEE5vb6/eeOMNTZkyRW+++ab6+vpCR0JC0UMBAADE7tZbbw0dAQBSK5fLqa2tTT/5yU/U0dGhfD4fOhISioICAACI3UMPPRQ6AgCk1tDQkA4fPqx9+/Ypl8tpaGgodCQkFAUFAAAQOyYAAwAg+SgoAACA2K1YsSJ0BAAAUGIUFAAAQOxWrVoVOgIApJaZycxUVlYmMwsdBwlGQQEAAMRu8uTJoSMAQGrV1dXp4osvVnNzs+bMmaPa2trQkZBQFBQAAEDsli9fHjoCAKRWNptVc3OzWltbtXDhQjU1NYWOhISioAAAAGL38MMPh44AAKmVyWRUX1+vbDar+vp6lZXxZx9Kozx0AAAAkDzTpk0LHQEAUqu3t1fbt29XU1OTXn/9dfX19YWOhISioAAAAGJ37bXXho4AAKmVy+XU0dGh3t5ebdmyRfl8PnQkJBR9XwAAQOwee+yx0BEAILWGh4fV3d2tw4cPq6enRyMjI6EjIaEoKAAAgNjNmjUrdAQAAFBiFBQAAEDsWltbQ0cAAAAlRkEBAADE7vHHHw8dAQBSy8xUXl6u8vJyZTIZmVnoSEgoCgoAACB28+bNCx0BAFKrvr5e8+bN09KlSzV37lzV1taGjoSE4ioPAAAgdkuWLAkdAQBSK5vNauHChbryyit15MgRNTU1hY6EhKKHAgAAiN0TTzwROgIwbswsa2bfNrPXzGyzmV1hZueY2Y/MbFv0c1LonEiPsrIyVVZWqrq6WhUVFQx5QMlQUAAAALFrbm4OHQEYT38h6Rl3f5+kFkmbJd0p6Tl3nyvpuegxMC7y+by2bNmil156SVu3blVPT0/oSEgohjwAAIDYzZkzJ3QEYFyYWZOkVkmfkSR3PyLpiJldL2lZtNlqSWslfXn8EyKN8vm8NmzYoN7eXm3dulXd3d2hIyGh6KEAAABi9/TTT4eOAIyX2ZIOSPprM1tvZo+ZWZ2kqe6+J9pmr6Spx3uymd1sZi+Z2UvjlBcpMDIyov7+fvX09GhgYECjo6OhIyGhKCgAAIDYLV26NHQEYLyUS1oi6RF3XyypV8cMb3B3l+THe7K7P+ruS92dXxoAEw4FBQAAELspU6aEjgCMl05Jne7+YvT42yoUGPaZ2TRJin7uD5QPAEqGggIAAIjdM888EzoCMC7cfa+k3WZ2SbToakmbJH1f0k3RspskfS9APKSUmb17lYfKykqu8oCSYVJGAAAQu9bW1tARgPF0q6RvmlmlpB2SPqvCF3dPmtkKSW9K+nTAfEiZpqYmzZ8/Xy0tLSovL9cLL7wQOhISioICAACIXSaTCR0BGDfu3ibpeHMgXD3eWQBJamho0IIFC/SBD3xAPT09amhoCB0JCcWQBwAAELs1a9aEjgAAqebuKswHCpQOBQUAABC7a665JnQEAEit7u5ubdy4UT//+c+1efNmdXd3h46EhGLIAwAAiF1PT0/oCACQWl1dXdq8ebMGBga0detWCgooGXooAACA2DEBGACE4+46cuSIBgYGNDw8zNAHlAwFBQAAELvrrrsudAQAAFBiFBQAAEDsdu/eHToCAAAoMQoKAAAgduvXrw8dAQBSK5PJqKamRg0NDaqpqVFZGX/2oTT4ZAEAgNjdcMMNoSMAQGo1NjaqublZV155pRYsWKCGhobQkZBQXOUBAADEbuPGjaEjAEBqNTY26pJLLtHSpUuVy+VUX18fOhISih4KAAAgdps3bw4dAQBSa3R0VIODg+rr69Pg4CBXeUDJnLSgYGYXmNkaM9tkZhvN7LZo+Tlm9iMz2xb9nBQtNzP7SzPbbmYdZrak1DsBAElHW4yJ5sYbbwwdAQBSK5fLqaOjQz/96U+1YcMGdXV1hY6EhBpLD4VhSV9y9/mSPiDp82Y2X9Kdkp5z97mSnoseS9JvSpob3W6W9EjsqQEgfWiLMaE8//zzoSMAQGr19PRo69ateuWVV/T666+rt7c3dCQk1EnnUHD3PZL2RPe7zWyzpBmSrpe0LNpstaS1kr4cLX/cC/1qXjCzrJlNi17nuC655BI9+uijZ7IfAFASH/7wh0NHkDQ+bTEQpx07doSOAACp5e4aGRnR8PCwRkZGQsdBgp3SpIxmNkvSYkkvSppadGK6V9LU6P4MScUXn+6Mlv3CSayZ3azCt2aqrKzUV77ylVOMDgDpVKq2GIjTihUrdO+994aOAQAASmjMBQUzq5f0HUlfdPe8mb27zt3dzE5ppg93f1TSo9FrO10jAeDkSt0Wx5kV6fbss8+GjgAAAEpsTFd5MLMKFU5gv+nu340W7zOzadH6aZL2R8vfknRB0dNnRssAAGeAthgTSWdnZ+gIAJBaFRUVamxs1DnnnKP6+nplMpnQkZBQY7nKg0n6mqTN7v7nRau+L+mm6P5Nkr5XtPx3oxnGPyCpizG7AHBmaIsx0dxyyy2hIwBAajU1NamlpUWtra1qbm5WU1NT6EhIqLEMebhS0u9I2mBmbdGyuyQ9KOlJM1sh6U1Jn47W/VDSxyRtl9Qn6bOxJgaAdKItxoTy1FNPhY4AAKlVX1+viy66SM3Nzdq/f79qampCR0JCjeUqDz+VZCdYffVxtndJnz/DXACAIrTFmGgOHjwYOgIApNbQ0JC6u7t1+PBhdXd3a3h4OHQkJNSY5lAAAAA4FbfddlvoCACQWl1dXWpra9O6deu0YcMGdXd3h46EhDqly0YCAACMxerVq0NHAIDU6u3t1Y4dOzQ6OqqdO3eqr68vdCQkFD0UAABA7HK5XOgIAJBa7i531+joqAqjIIHSoKAAAABid/vtt4eOAAAASoyCAgAAiN0jjzwSOgIAACgxCgoAACB2vb29oSMAQGpVVFRo0qRJOv/88zVp0iRVVFSEjoSEoqAAAABid+edd4aOAACplc1mtXjxYi1btkwtLS1qbGwMHQkJRUEBAADEbtWqVaEjAEBq1dXV6cILL9T73vc+XXDBBaqtrQ0dCQlFQQEAAMRucHAwdAQASK3BwUEdOnRIe/bs0TvvvKMjR46EjoSEoqAAAABid/fdd4eOAACplcvltH79eq1du1bt7e1cyhclUx46AAAASJ4HH3wwdAQASK3+/n51dnYqk8mos7OTXmMoGXooAACA2A0PD4eOAACp5u5y99AxkHAUFAAAQOxWrlwZOgIAACgxCgoAACB2999/f+gIAACgxJhDAQAAxG50dDR0BABIrerqak2dOlW/8iu/op6eHlVWVoaOhISihwIAAIjdPffcEzoCAKRWNpvV4sWLddVVV6mlpUVNTU2hIyGhKCgAAIDYUVAAgHCqq6s1bdo0zZ49W+eff76qq6tDR0JCUVAAAAAAgAQZGBjQ3r179cYbb2jfvn0aGBgIHQkJRUEBAADEjh4KABBOLpfT+vXrtXbtWrW3tyufz4eOhIRiUkYAABA7CgoAEM7RHgpVVVXat2+fBgcHQ0dCQtFDAQAAxM7MQkcAAAAlRkEBAADEbuXKlaEjAACAEqOgAAAAYnfvvfeGjgAAqWZm9BZDyTGHAgAAiF0mkwkdAQBSq6amRjNnztTcuXM1MDCgqqqq0JGQUPRQAAAAsbvrrrtCRwCA1Mpms1q0aJGWLVumlpYWZbPZ0JGQUBQUAABA7O67777QEQAgtaqqqjRlyhRNnz5dkydPVmVlZehISCgKCgAAIHbl5YyqBIBQent7tWvXLm3ZskWdnZ3q6+sLHQkJRUEBAADE7o477ggdAQBSK5fLqa2tTWvWrFF7e7vy+XzoSEgovj4AAACxe+CBB0JHAIDUGhoa0qFDh1RfX6933nlHQ0NDoSMhoeihAAAAYldTUxM6AgAAKDEKCgAAIHa33npr6AgAAKDEKCgAAIDYPfTQQ6EjAOPGzP7AzDaa2atm9i0zqzaz2Wb2opltN7O/MzOm2ce4MTOZmcrKymRmoeMgwSgoAACA2DU2NoaOAIwLM5sh6fclLXX3yyRlJC2X9CeSVrn7xZIOS1oRLiXSpra2VrNnz9aCBQs0a9Ys1dbWho6EhKKgAAAAYrdiBX87IVXKJdWYWbmkWkl7JP2apG9H61dL+mSgbEihbDarRYsWadmyZWpublZDQ0PoSEgoCgoAACB2q1atCh0BGBfu/pakP5W0S4VCQpeklyXl3H042qxT0ozjPd/Mbjazl8zspfHIi3SoqKhQY2OjzjnnHDU0NKi8nIv7oTT4ZAEAgNhNnjw5dARgXJjZJEnXS5otKSfpKUkfHevz3f1RSY9Gr+WlyIj06enp0euvv65sNqudO3eqv78/dCQkFD0UAABA7JYvXx46AjBerpG0090PuPuQpO9KulJSNhoCIUkzJb0VKiDSp6urS+3t7Vq3bp3a29vV1dUVOhISioICAACI3cMPPxw6AjBedkn6gJnVWmE6/aslbZK0RtIN0TY3SfpeoHxIoaGhIeXzeR06dEg9PT0aGRkJHQkJRUEBAADEbtq0aaEjAOPC3V9UYfLFVyRtUOH8+lFJX5b0h2a2XdJkSV8LFhIASoQ5FAAAQOyuvfba0BGAcePuX5X01WMW75B0eYA4ADBuTtpDwcwuMLM1ZrbJzDaa2W3R8nvM7C0za4tuHyt6zlfMbLuZbTGzj5RyBwAg6WiHMRE99thjoSMAQGqZmTKZjMrLy5XJZELHQYKNpYfCsKQvufsrZtYg6WUz+1G0bpW7/2nxxmY2X9JySQskTZf0YzOb5+4M3AGA00M7jAln1qxZoSMAQGrV19dr7ty5WrBggSTphRdeCJwISXXSgoK771Hhmrpy924z26wTXEc3cr2kJ9x9UNLOaNzY5ZJ+HkNeAEgd2mFMRK2traEjAEBqNTU1qbm5WVdeeaVGRkbU2NgYOhIS6pQmZTSzWZIWS3oxWvQFM+sws69H1+CVCie5u4ue1qnjnPia2c1m9pKZvXTKqQEgpeJsh6PXoy1GSTz++OOhIwBAamUyGVVXV6u2tlZVVVUqK2MufpTGmD9ZZlYv6TuSvujueUmPSLpI0iIVvjn7s1N5Y3d/1N2XuvvSU3keAKRV3O2wRFuM0pk3b17oCACQWvl8Xlu2bNHLL7+sbdu2qaenJ3QkJNSYrvJgZhUqnMR+092/K0nuvq9o/V9J+kH08C1JFxQ9fWa0DABwmmiHMdEsWbIkdAQASK3u7m51dHSor69PW7dupaCAkhnLVR5Mhevmbnb3Py9aXnyB6U9JejW6/31Jy82sysxmS5or6V/iiwwA6UI7jInoiSeeCB0BAFJreHhY/f39yufz6uvr08gI8zKjNMbSQ+FKSb8jaYOZtUXL7pL0W2a2SJJLekPS5yTJ3Tea2ZOSNqkwM/nnmVkcAM4I7TAmnObm5tARAABAiY3lKg8/lWTHWfXD93jOH0v64zPIBQCI0A5jIpozZ07oCAAAoMSY7hMAAMTu6aefDh0BAFLLzFRRUaGqqiqVl5erMHoSiN+YJmUEAAA4FUuXcuEQAAilsbFRl156qZqbm5XJZPTiiy+e/EnAaaCgAAAAYjdlypTQEQAgtRobG3XZZZfpgx/8oPr7+9XQ0BA6EhKKIQ8AACB2zzzzTOgIAJBqZqaysjKVlZUx5AElQw8FAAAQu9bW1tARACC1uru7tWnTJlVUVGjz5s3q7u4OHQkJRUEBAADELpPJhI4AAKnV1dWlTZs2qb+/X9u2baOggJJhyAMAAIjdmjVrQkcAgNRydw0ODqq/v19HjhyRu4eOhISioAAAAGJ3zTXXhI4AAABKjIICAACIXU9PT+gIAACgxCgoAACA2L3wwguhIwBAamUyGdXU1Kiurk7V1dUqK+PPPpQGnywAABC76667LnQEAEitxsZGzZ8/X1dccYXmz5+vhoaG0JGQUFzlAQAAxG737t2hIwBAah0tKLz//e9Xd3e36uvrQ0dCQtFDAQAAxG79+vWhIwBAao2OjmpoaEiDg4MaHh7mKg8oGQoKAAAgdjfccEPoCACQWrlcThs2bNDPfvYzvfrqq+rq6godCQnFkAcAABC7jRs3ho4AAKnV09OjLVu2aGBgQDt27FBfX1/oSEgoeigAAIDYbd68OXQEAEgtd9fw8PC7N4Y8oFQoKAAAgNjdeOONoSMAAIASo6AAAABi9/zzz4eOAAAASoyCAgAAiN2OHTtCRwCA1CovL1d9fb2y2azq6uqUyWRCR0JCUVAAAACxW7FiRegIAJBaTU1NamlpUWtrqxYuXKjGxsbQkZBQXOUBAADE7tlnnw0dAQBSq76+XhdffLFaWlp04MAB1dbWho6EhKKHAgAAiF1nZ2foCACQWiMjI+rp6VE+n1dfX59GR0dDR0JCUVAAAACxu+WWW0JHAIDUyuVy6ujo0Lp169TR0aF8Ph86EhKKIQ8AACB2Tz31VOgIAJBavb292r59u0ZGRrRz50719vaGjoSEoocCAACI3cGDB0NHAIDUcne5u0ZGRhjugJKioAAAAGJ32223hY4AAABKjIICAACI3erVq0NHAAAAJUZBAQAAxC6Xy4WOAACpVVFRoWw2q/POO09NTU3KZDKhIyGhKCgAAIDY3X777aEjAEBqZbNZLV68WK2trWppaVE2mw0dCQnFVR4AAEDsHnnkkdARACC16urqNGvWLC1YsEB79uxRdXV16EhIKHooAACA2HGJMgAIZ3BwUIcPH9b+/ft1+PBhDQ8Ph46EhKKgAAAAYnfnnXeGjgAAqZXL5bR+/XqtXbtWHR0dyufzoSMhoRjyAAAAYrdq1arQEQAgtfr7+7Vr1y6ZmXbt2qX+/v7QkZBQ9FAAAACxGxwcDB0BAFLN3eXuoWMg4SgoAACA2N19992hIwAAgBKjoAAAAGL34IMPho4AAABKjDkUAABA7JhRHADCqaqq0rnnnquZM2cqn8+rsrIydCQkFD0UAABA7FauXBk6AgCkVjab1eLFi3XVVVeppaVFTU1NoSMhoSgoAACA2N1///2hIwBAatXU1GjGjBm66KKLNH36dFVXV4eOhISioAAAAGI3OjoaOgIApNbg4KD279+v3bt368CBA1x5ByVDQQEAAMTunnvuCR0BAFIrl8vplVde0Zo1a9TW1qaurq7QkZBQTMoIAABiR0EBAMLp7+/Xnj17VFlZqb1799JDASVDDwUAAAAAAHDKzN1DZ5CZHZDUK+lg6CxnaIrYh7NBEvZBSsZ+JGEfLnT3c0OHGA9m1i1pS+gcZygJnzkpGfvBPpwdkrAPaWqHD0h6U8k4bmPFviYT+5o8x22Lz4qCgiSZ2UvuvjR0jjPBPpwdkrAPUjL2Iwn7kCZJOF5J2AcpGfvBPpwdkrAPaZSm48a+JhP7mh4MeQAAAAAAAKeMggIAAAAAADhlZ1NB4dHQAWLAPpwdkrAPUjL2Iwn7kCZJOF5J2AcpGfvBPpwdkrAPaZSm48a+JhP7mhJnzRwKAAAAAABg4jibeigAAAAAAIAJgoICAAAAAAA4ZcELCmb2UTPbYmbbzezO0HnGyszeMLMNZtZmZi9Fy84xsx+Z2bbo56TQOY9lZl83s/1m9mrRsuPmtoK/jI5Nh5ktCZf835xgH+4xs7ei49FmZh8rWveVaB+2mNlHwqT+RWZ2gZmtMbNNZrbRzG6Llk+YY/Ee+zChjgUKaIvHTxLaYWnit8VJaIcl2uKkmaht8Vic6u9cEphZxszWm9kPosezzezF6Pj+nZlVhs4YBzPLmtm3zew1M9tsZlck9bia2R9En99XzexbZlad1OM6Zu4e7CYpI+l1SXMkVUpqlzQ/ZKZTyP6GpCnHLHtI0p3R/Tsl/UnonMfJ3SppiaRXT5Zb0sck/aMkk/QBSS+Gzv8e+3CPpNuPs+386HNVJWl29HnLnAX7ME3Skuh+g6StUdYJcyzeYx8m1LHgRlscIPOEb4ffYz8mzO9/Etrhk+zHhDkW3N49NhO2LR7j/p3S71wSbpL+UNL/kPSD6PGTkpZH9/+bpFtCZ4xpP1dL+r3ofqWkbBKPq6QZknZKqik6np9J6nEd6y10D4XLJW139x3ufkTSE5KuD5zpTFyvwi+Uop+fDJjluNx9naR3jll8otzXS3rcC16QlDWzaeOT9MROsA8ncr2kJ9x90N13StquwucuKHff4+6vRPe7JW1WoZGaMMfiPfbhRM7KYwFJtMXjKgntsDTx2+IktMMSbXHCJK0t/gWn8Ts3oZnZTEnXSnosemySfk3St6NNErGvZtakQoH5a5Lk7kfcPaeEHldJ5ZJqzKxcUq2kPUrgcT0VoQsKMyTtLnrcqff+T/Bs4pL+ycxeNrObo2VT3X1PdH+vpKlhop2yE+WeaMfnC1E31K8Xdas66/fBzGZJWizpRU3QY3HMPkgT9Fik2EQ+Nklpiyfk7/4JTLjf/yS0wxJtcQKk5tiM8Xduovsvku6QNBo9niwp5+7D0eOkHN/Zkg5I+utoeMdjZlanBB5Xd39L0p9K2qVCIaFL0stK5nEds9AFhYnsQ+6+RNJvSvq8mbUWr/RCn5cJd03OiZpb0iOSLpK0SIVf8D8LG2dszKxe0nckfdHd88XrJsqxOM4+TMhjgQkrcW3xRMxcZML9/iehHZZoizFxJOV37r2Y2ccl7Xf3l0NnGQflKgx/e8TdF0vqVWGIw7sSdFwnqdDzYrak6ZLqJH00aKizwP/f3t2zRhVEARh+B9SAYqGdEEEDwdbCQtBCVARTCIJFQDCFv0Ks/AOChZVYiVgoUVP70auFxm9UFIygsbIOeixm1sSQ3ewVyc1c3gcuSTa3OCcncxYOM3fbHih8AXYu+Xm0vLbulQkVETEP3CZvU/vW2/5Yvs63F2Ej/eKupj4R8S0ifkbEL+AKi9s3120OKaWN5DfU6xExXV6uqhYr5VBjLVRvbTrUi6ta+/3Utv670IfBXtwhna9NwzVXswPAiZTSJ/LRlcPAJfJRqQ3lnq7Udw6Yi4jezqhb5AFDF+t6FPgYEd8jYgGYJte6i3UdWtsDhcfAeHky5iZgEphpOaZVpZS2pJS29r4HjgEvyLFPldumgLvtRNhYv7hngDMp2w/8WLJ1aV1Zdo71JLkekHOYTCmNpJR2A+PAo7WOb7lyju4q8DoiLi75VTW16JdDbbUQYC9eD6pZ+4PUtP670IfBXtwxVfbiYf3DmqtWRJyLiNGI2EWu44OIOA08BE6V27qS61fgc0ppT3npCPCKDtaVfNRhf0ppc/l/7uXaubo2Eu0/LXOC/JTXD8D5tuMZMuYx8pN3nwEve3GTz0bdB94B94Dtbce6Quw3yFsfF8gTxbP94iY/yfpyqc1zYF/b8Q/I4VqJcZbcwHYsuf98yeEtcLzt+EtMB8lbv2aBp+WaqKkWA3KoqhZef2pjL167uKvvwwPyqGb9d6EPr5JHNbXw+que1fXiBrk1WnNduYBDLH7Kwxh5gPceuAmMtB3ff8pxL/Ck1PYOsK2rdQUuAG/IQ9pr5E/M6WRdh71S+cNIkiRJkiQNre0jD5IkSZIkqUIOFCRJkiRJUmMOFCRJkiRJUmMOFCRJkiRJUmMOFCRJkiRJUmMOFCRJkiRJUmMOFCRJkiRJUmO/AYsJ4ss88ktcAAAAAElFTkSuQmCC\n",
            "text/plain": [
              "<Figure size 1296x720 with 3 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 1296x720 with 3 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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DZ10rwEoTKAAAwNLdl+Q13X1skmckeUVVHZvktUnO7+5jkpw/3AeYKwIFAABYou6+obsvHG5/PcnlSQ5PclKSs4dmZyc5eTYVAqye5XxtJAAAMKiqo5I8NckFSQ7p7huGTTdm8jW/O3vMaUlO2x31Aaw0MxQAAGCZqmq/JB9K8uruvn16W3d3kt7Z47r79O7e3N2bd0OZACtKoAAAAMtQVQ/JJEx4b3d/eFi9raoOHbYfmuSmWdUHsFoECgAAsERVVUnOTHJ5d791atN5SU4dbp+a5NzdXRvAanMNBQAAWLpnJvnpJBdX1UXDutcneXOSc6rq5UmuTvLiGdUHsGoECgAAsETd/VdJahebT9idtQDsbk55AAAAAEYTKAAAAACjCRQAAACA0QQKAAAAwGgCBQAAAGA0gQIAAAAwmkCB0ap29c1IMJ73EwAArE8CBUbr7lmXwBzxfgIAgPVJoAAAAACMJlAAAAAARhMoAAAAAKMJFAAAAIDRBAoAAADAaAIFAAAAYDSBAgAAADCaQAEAAAAYTaAAAAAAjCZQAAAAAEYTKAAAAACjCRQAAACA0QQKAAAAwGgCBQAAAGA0gQIAAAAwmkABAAAAGE2gAAAAAIwmUAAAAABGEygAAAAAowkUAAAAgNEECgAAAMBoCwYKVfWOqrqpqi6ZWndQVX2yqr40/DxwWF9V9btVdUVVfb6qjl/N4gE2CmMxAABrzWJmKJyV5Pk7rHttkvO7+5gk5w/3k+QFSY4ZltOSvH1lygTY8M6KsRgAgDVkwUChu/8iyVd3WH1SkrOH22cnOXlq/bt64m+SHFBVh65UsQAblbEYAIC1ZqnXUDiku28Ybt+Y5JDh9uFJrplqd+2w7jtU1WlVtaWqtiyxBoCNzlgMAMDMbFruE3R3V1Uv4XGnJzk9SZbyeAC+xVgMAMDuttQZCtu2T58dft40rL8uyZFT7Y4Y1gGw8ozFAADMzFIDhfOSnDrcPjXJuVPrf2a4wvgzktw2NR0XgJVlLAYAYGYWPOWhqt6X5DlJHlFV1yZ5Q5I3Jzmnql6e5OokLx6afzTJiUmuSHJXkpetQs0AG46xGACAtWbBQKG7X7KLTSfspG0necVyiwLg2xmLAQBYa5Z6ygMAAACwgQkUAAAAgNEECgAAAMBoAgUAAABgNIECAAAAMJpAAQAAABhNoAAAAACMJlAAAAAARhMoAAAAAKMJFAAAAIDRBAoAAADAaAIFAAAAYDSBAgAALFNV7VlVf19VHxnuH11VF1TVFVX1gap66KxrBFhpAgUAAFi+VyW5fOr+W5K8rbsfl+RrSV4+k6oAVpFAAQAAlqGqjkjyI0nOGO5Xkucm+eDQ5OwkJ8+mOoDVI1AAAIDl+e0kv5zkgeH+dye5tbvvG+5fm+TwnT2wqk6rqi1VtWX1ywRYWQIFAABYoqr60SQ3dffnlvL47j69uzd39+YVLg1g1W2adQEAALCOPTPJj1fViUn2TvJdSX4nyQFVtWmYpXBEkutmWCPAqjBDAQAAlqi7X9fdR3T3UUlOSfJn3f2TST6d5EVDs1OTnDujEgFWjUABAABW3q8k+cWquiKTayqcOeN6AFacUx4AAGAFdPdnknxmuH1lkqfPsh6A1WaGAgAAADCaQAEAAAAYTaAAAAAAjCZQAAAAAEYTKAAAAACjCRQAAACA0QQKAAAAwGgCBQAAAGA0gQIAAAAwmkABAAAAGE2gAAAAAIwmUAAAAABGEygAAAAAowkUAAAAgNEECgAAAMBoAgUAAABgNIECAAAAMJpAAQAAABhNoAAAAACMtmCgUFXvqKqbquqSqXVvrKrrquqiYTlxatvrquqKqvpiVf3wahUOsJEYiwEAWGsWM0PhrCTP38n6t3X3ccPy0SSpqmOTnJLkScNj/r+q2nOligXYwM6KsRgAgDVk00INuvsvquqoRT7fSUne393fSHJVVV2R5OlJ/nrJFbLmVNWsS2COeD8tjrEYYGPYY4/5PyP5YQ97WB7zmMfk4IMPzh133JEvf/nLueWWW2Zd1lx5+MMfnsc85jE54IADcuutt2br1q25/fbbZ13WXHnkIx+ZRz/60dlnn32ybdu2XHPNNbn77rtnXdaqeeCBB3a6fsFA4UG8sqp+JsmWJK/p7q8lOTzJ30y1uXZYxxzp7lmXwBzxflq2FRuLn/a0p+XSSy9dnSp34ZRTTslzn/vcnHbaabv1dbdu3ZrNmzfv1gPYww47LJ/5zGfy+Mc/fre9ZpK85z3vyTnnnJPzzjtvt77u3XffnX322We3vqb30+qbxfvpG9/4xm57rVmrqmzatJzD8/XhUY96VH7iJ34iz372s3PVVVflXe96Vz772c86JlhB3/M935NTTz01T37yk3PhhRfm7LPPzmWXXTbrsubGHnvskac85Sn5qZ/6qRxxxBH5sz/7s7z73e/O9ddfP+vSVs0999yz0/VLHbHenuT/TtLDz99K8u/HPEFVnZZk9/6LDzBf1v1YfNZZZ+Wss87a7a/7qEc9are/5pVXXplHP/rRu/11X/SiF+3210xmM/vI+2n1zer9tJFshBkK++23X4499tj84A/+YA466KB87GMfyx577CFQWEEHHXRQjjvuuDzrWc/KfffdlwMPPHBDvLd2lz333DOPetSj8n3f93153OMel+uvvz777rvvhvwdLylQ6O5t229X1e8n+chw97okR041PWJYt7PnOD3J6cNzGD0ARjIWA8yfXU0rnid33HFHPv/5z2f//ffP1q1bs23btjzwwAMChRX0la98JVu2bMndd9+diy66KF/96lc3xHtrd7r++uvz2c9+Nlu3bs3FF1+cO++8c0P+jpcUKFTVod19w3D3hUm2X3X8vCR/UFVvTXJYkmOS/O2yqwTgOxiLAeZLd+fee++ddRmr7vrrr8/73//+fOITn8hdd92V6667Lvfee69AYQVdccUVOeOMM7L//vvn9ttvz7XXXrsh3lu7S1Xloosuys0335y99947t9xyS7Zt27Yhf8cLBgpV9b4kz0nyiKq6Nskbkjynqo7LZJrt1iQ/lyTdfWlVnZPksiT3JXlFd9+/OqUDbBzGYoCNYSP8p/quu+7KP/7jP866jLl222235bbbbpt1GXOru3PzzTfn5ptvnnUpM7eYb3l4yU5Wn/kg7d+U5E3LKQqAb2csBgBgrdl4V40AAAAAlk2gAAAAAIwmUAAAAABGEygAAAAAowkUAAAAgNEECgAAAMBoAgUAAABgNIECAAAAMJpAAQAAABhNoAAAAACMJlAAAAAARhMoAAAAAKMJFAAAAIDRBAoAAADAaAIFAAAAYDSBAgAAADCaQAEAAAAYTaAAAAAAjCZQAAAAAEYTKAAAAACjCRQAAACA0QQKAAAAwGgCBQAAWIaqOqCqPlhVX6iqy6vq+6vqoKr6ZFV9afh54KzrBFhpAgUAAFie30nyse7+F0mekuTyJK9Ncn53H5Pk/OE+wFwRKAAAwBJV1cOTPDvJmUnS3fd0961JTkpy9tDs7CQnz6ZCgNUjUAAAgKU7OsnNSd5ZVX9fVWdU1b5JDunuG4Y2NyY5ZGcPrqrTqmpLVW3ZTfUCrBiBAgAALN2mJMcneXt3PzXJndnh9Ibu7iS9swd39+ndvbm7N696pQArTKAAAABLd22Sa7v7guH+BzMJGLZV1aFJMvy8aUb1AawagQIAACxRd9+Y5JqqesKw6oQklyU5L8mpw7pTk5w7g/IAVtWmWRcAAADr3H9M8t6qemiSK5O8LJM/3J1TVS9PcnWSF8+wPoBVIVAAAIBl6O6LkuzsGggn7O5aAHYnpzwAAAAAowkUAAAAgNEECgAAAMBoAgUAAABgNIECAAAAMJpAAQAAABhNoAAAAACMJlAAAAAARhMoAAAAAKMJFAAAAIDRFgwUqurIqvp0VV1WVZdW1auG9QdV1Ser6kvDzwOH9VVVv1tVV1TV56vq+NXuBMC8MxYDALDWLGaGwn1JXtPdxyZ5RpJXVNWxSV6b5PzuPibJ+cP9JHlBkmOG5bQkb1/xqgE2HmMxAABryoKBQnff0N0XDre/nuTyJIcnOSnJ2UOzs5OcPNw+Kcm7euJvkhxQVYeueOUAG4ixGACAtWbUNRSq6qgkT01yQZJDuvuGYdONSQ4Zbh+e5Jqph107rNvxuU6rqi1VtWVkzQAbmrEYAIC1YNGBQlXtl+RDSV7d3bdPb+vuTtJjXri7T+/uzd29eczjADYyYzEAAGvFogKFqnpIJgew7+3uDw+rt22fPjv8vGlYf12SI6cefsSwDoBlMBYDALCWLOZbHirJmUku7+63Tm06L8mpw+1Tk5w7tf5nhiuMPyPJbVPTcQFYAmMxAABrzaZFtHlmkp9OcnFVXTSse32SNyc5p6penuTqJC8etn00yYlJrkhyV5KXrWjFABuTsRgAgDVlwUChu/8qSe1i8wk7ad9JXrHMugCYYiwGAGCtGfUtDwAAAACJQAEAAABYAoECAAAAMJpAAQAAABhNoAAAAACMJlAAAAAARhMoAAAAAKMJFAAAAIDRBAoAAADAaAIFAAAAYDSBAgAAADCaQAEAAAAYTaAAAAAAjCZQAAAAAEYTKAAAAACjCRQAAACA0QQKAAAAwGgCBUarqlmXwBzxfgIAgPVJoMBo3T3rEpgj3k8AALA+CRQAAACA0QQKAAAAwGgCBQAAAGA0gQIAAAAwmkABAAAAGE2gAAAAAIwmUAAAAABGEygAAAAAowkUAAAAgNEECgAAAMBoAgUAAABgNIECAAAAMJpAAQAAlqGqfqGqLq2qS6rqfVW1d1UdXVUXVNUVVfWBqnrorOsEWGkCBQAAWKKqOjzJzyfZ3N3/MsmeSU5J8pYkb+vuxyX5WpKXz65KgNUhUAAAgOXZlGSfqtqU5GFJbkjy3CQfHLafneTkGdUGsGoECgAAsETdfV2S30zy5UyChNuSfC7Jrd1939Ds2iSH7+zxVXVaVW2pqi27o16AlSRQAACAJaqqA5OclOToJIcl2TfJ8xf7+O4+vbs3d/fmVSoRYNUIFAAAYOmel+Sq7r65u+9N8uEkz0xywHAKRJIckeS6WRUIsFoECgAAsHRfTvKMqnpYVVWSE5JcluTTSV40tDk1ybkzqg9g1QgUAABgibr7gkwuvnhhkoszOb4+PcmvJPnFqroiyXcnOXNmRQKskk0LNwEAAHalu9+Q5A07rL4yydNnUA7AbrPgDIWqOrKqPl1Vl1XVpVX1qmH9G6vquqq6aFhOnHrM66rqiqr6YlX98Gp2AGDeGYcBAFiLFjND4b4kr+nuC6tq/ySfq6pPDtve1t2/Od24qo5NckqSJ2VypdtPVdXju/v+lSwcYAMxDgMAsOYsOEOhu2/o7guH219Pcnl28T26g5OSvL+7v9HdVyW5IqZ7ASyZcRgAgLVo1EUZq+qoJE9NcsGw6pVV9fmqesfwHbzJ5CD3mqmHXZudHPhW1WlVtaWqtoyuGmCDWslxeHg+YzEAAEuy6EChqvZL8qEkr+7u25O8Pcn3JDkuyQ1JfmvMC3f36d29ubs3j3kcwEa10uNwYiwGAGDpFhUoVNVDMjmIfW93fzhJuntbd9/f3Q8k+f18azrtdUmOnHr4EcM6AJbIOAwAwFqzmG95qEy+N/fy7n7r1PpDp5q9MMklw+3zkpxSVXtV1dFJjknytytXMsDGYhwGAGAtWsy3PDwzyU8nubiqLhrWvT7JS6rquCSdZGuSn0uS7r60qs5JclkmVyZ/hSuLAyyLcRgAgDVnwUChu/8qSe1k00cf5DFvSvKmZdQFwMA4DADAWjTqWx4AAAAAEoECAAAAsAQCBQAAAGA0gQIAAAAwmkABAAAAGE2gAAAAAIwmUAAAAABGEygAAAAAowkUAAAAgNEECgAAAMBoAgUAAABgNIECAAAAMJpAAQAAABhNoAAAAACMJlAAAAAARhMoAAAAAKMJFAAAAIDRBAoAAADAaAIFAAAAYDSBAgAAADCaQAEAAAAYTaAAAAAAjCZQAAAAAEYTKAAAAACjCRQAAACA0QQKAAAAwGgCBQAAAGA0gQIAAAAwmkABAAAAGE2gAAAAAIwmUAAAAABGEygAAAAAowkUAAAAgNEECgAAANi4ikoAAAdRSURBVMBoAgUAAABgNIECAAAAMJpAAQAAABhNoAAAAACMJlAAAAAARhMoAAAAAKMJFAAAAIDRBAoAAADAaAIFRquqWZfAHPF+AgCA9am6e9Y1pKpuTnJnkltmXcsyPSL6sBbMQx+S+ejHPPThMd198KyL2B2q6utJvjjrOpZpHt5zyXz0Qx/Whnnow0Yah29OcnXmY78tlr7OJ32dPzsdi9dEoJAkVbWluzfPuo7l0Ie1YR76kMxHP+ahDxvJPOyveehDMh/90Ie1YR76sBFtpP2mr/NJXzcOpzwAAAAAowkUAAAAgNHWUqBw+qwLWAH6sDbMQx+S+ejHPPRhI5mH/TUPfUjmox/6sDbMQx82oo203/R1PunrBrFmrqEAAAAArB9raYYCAAAAsE4IFAAAAIDRZh4oVNXzq+qLVXVFVb121vUsVlVtraqLq+qiqtoyrDuoqj5ZVV8afh446zp3VFXvqKqbquqSqXU7rbsmfnfYN5+vquNnV/m37KIPb6yq64b9cVFVnTi17XVDH75YVT88m6q/XVUdWVWfrqrLqurSqnrVsH7d7IsH6cO62hdMGIt3n3kYh5P1PxbPwzicGIvnzXodixdj7GduHlTVnlX191X1keH+0VV1wbB/P1BVD511jSuhqg6oqg9W1Req6vKq+v553a9V9QvD+/eSqnpfVe09r/t10bp7ZkuSPZP8U5LHJnlokn9IcuwsaxpR+9Ykj9hh3W8kee1w+7VJ3jLrOndS97OTHJ/kkoXqTnJikj9NUkmekeSCWdf/IH14Y5L/cydtjx3eV3slOXp4v+25BvpwaJLjh9v7J/nHodZ1sy8epA/ral9YjMUzqHndj8MP0o918/mfh3F4gX6sm31h+ea+Wbdj8SL7N+ozNw9Lkl9M8gdJPjLcPyfJKcPt/57kP8y6xhXq59lJfna4/dAkB8zjfk1yeJKrkuwztT9fOq/7dbHLrGcoPD3JFd19ZXffk+T9SU6acU3LcVImH6gMP0+eYS071d1/keSrO6zeVd0nJXlXT/xNkgOq6tDdU+mu7aIPu3JSkvd39ze6+6okV2Tyvpup7r6huy8cbn89yeWZDFLrZl88SB92ZU3uC5IYi3ereRiHk/U/Fs/DOJwYi+fMvI3F32YJn7l1raqOSPIjSc4Y7leS5yb54NBkLvpaVQ/PJGA+M0m6+57uvjVzul+TbEqyT1VtSvKwJDdkDvfrGLMOFA5Pcs3U/Wvz4P8IriWd5BNV9bmqOm1Yd0h33zDcvjHJIbMpbbRd1b3e9s8rh2mo75iaVrXm+1BVRyV5apILsk73xQ59SNbpvtjA1vO+mZexeF1+9ndh3X3+52EcTozFc2DD7JtFfubWu99O8stJHhjuf3eSW7v7vuH+vOzfo5PcnOSdw+kdZ1TVvpnD/drd1yX5zSRfziRIuC3J5zKf+3XRZh0orGfP6u7jk7wgySuq6tnTG3sy52XdfSfneq07yduTfE+S4zL5gP/WbMtZnKraL8mHkry6u2+f3rZe9sVO+rAu9wXr1tyNxeux5inr7vM/D+NwYixm/ZiXz9yDqaofTXJTd39u1rXsBpsyOf3t7d391CR3ZnKKwzfN0X49MJOZF0cnOSzJvkmeP9Oi1oBZBwrXJTly6v4Rw7o1b0io0t03JfmjTKapbds+/XH4edPsKhxlV3Wvm/3T3du6+/7ufiDJ7+db0zfXbB+q6iGZ/IP63u7+8LB6Xe2LnfVhPe4L1u++maOxeF199ndlvX3+52EcTozFc2Tu983Iz9x69swkP15VWzM5deW5SX4nk1OlNg1t5mX/Xpvk2u7ePjPqg5kEDPO4X5+X5Kruvrm7703y4Uz29Tzu10WbdaDwd0mOGa6M+dAkpyQ5b8Y1Laiq9q2q/bffTvJDSS7JpPZTh2anJjl3NhWOtqu6z0vyMzXxjCS3TU1dWlN2OI/1hZnsj2TSh1Oqaq+qOjrJMUn+dnfXt6PhPLozk1ze3W+d2rRu9sWu+rDe9gVJjMVrwbr57D+Y9fT5n4dxODEWz5l1ORYv1hI+c+tWd7+uu4/o7qMy2Y9/1t0/meTTSV40NJuXvt6Y5JqqesKw6oQkl2UO92smpzo8o6oeNryft/d17vbrKD37q2WemMlVXv8pya/Oup5F1vzYTK68+w9JLt1edybnRp2f5EtJPpXkoFnXupPa35fJ1Md7M0kUX76rujO5kvXvDfvm4iSbZ13/g/Th3UONn89kADt0qv2vDn34YpIXzLr+oaZnZTL16/NJLhqWE9fTvniQPqyrfWH55r4xFu++utf9OPwg/Vg3n/95GIcX6Me62ReWb9uf624sHtG3UZ+5eVmSPCff+paHx2YS4F2R5A+T7DXr+laoj8cl2TLs2z9OcuC87tck/1eSL2QS0r47k2/Mmcv9utilhl8MAAAAwKLN+pQHAAAAYB0SKAAAAACjCRQAAACA0QQKAAAAwGgCBQAAAGA0gQIAAAAwmkABAAAAGO3/B2vqKokLwkvlAAAAAElFTkSuQmCC\n",
            "text/plain": [
              "<Figure size 1296x720 with 3 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 1296x720 with 3 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
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\n",
            "text/plain": [
              "<Figure size 1296x720 with 3 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 1296x720 with 3 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    }
  ]
}