{
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "M0f4W6UZ6Rrk"
      },
      "source": [
        "\u003ch1\u003emediapy \u0026mdash; Read/write/show images and videos in an IPython/Jupyter notebook\u003c/h1\u003e\n",
        "\n",
        "[**[GitHub source]**](https://github.com/google/mediapy) \u0026nbsp;\n",
        "[**[API docs]**](https://google.github.io/mediapy/) \u0026nbsp;\n",
        "[**[PyPI package]**](https://pypi.org/project/mediapy/) \u0026nbsp;\n",
        "[**[Colab example]**](https://colab.research.google.com/github/google/mediapy/blob/main/mediapy_examples.ipynb)\n",
        "\n"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "P_1IBw1-2W7e"
      },
      "source": [
        "### Setup"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 34,
      "metadata": {
        "executionInfo": {
          "elapsed": 182,
          "status": "ok",
          "timestamp": 1617380718849,
          "user": {
            "displayName": "",
            "photoUrl": "",
            "userId": ""
          },
          "user_tz": 420
        },
        "id": "u0kuKXep2pfr"
      },
      "outputs": [],
      "source": [
        "!command -v ffmpeg >/dev/null || (apt update && apt install -y ffmpeg)\n",
        "!pip install -q mediapy\n",
        "\n",
        "import itertools\n",
        "import math\n",
        "import warnings\n",
        "\n",
        "import mediapy as media\n",
        "import matplotlib.pyplot as plt\n",
        "import numpy as np"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "B6i6zxzV8hjP"
      },
      "outputs": [],
      "source": [
        "DATA_DIR = 'https://github.com/hhoppe/data/raw/main/'  # Or any local path.\n",
        "IMAGE = DATA_DIR + 'image.png'\n",
        "VIDEO = DATA_DIR + 'video.mp4'"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "SGwNe_Az2bn0"
      },
      "source": [
        "### Image examples"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "height": 75
        },
        "executionInfo": {
          "elapsed": 197,
          "status": "ok",
          "timestamp": 1617322703723,
          "user": {
            "displayName": "",
            "photoUrl": "",
            "userId": ""
          },
          "user_tz": 420
        },
        "id": "dIca_gpj1_h_",
        "outputId": "c40d172f-0f0f-4bb2-bdc2-36913d072fb9"
      },
      "outputs": [
        {
          "data": {
            "text/html": [
              "\u003ctable class=\"show_images\" style=\"border-spacing:0;\"\u003e\u003ctr\u003e\u003ctd\u003e\u003cimg width=\"50\" height=\"50\" style=\"border:1px solid black; image-rendering:pixelated; object-fit:cover;\" src=\"data:image/png;base64,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            ],
            "text/plain": [
              "\u003cIPython.core.display.HTML at 0x7fddf3e109e8\u003e"
            ]
          },
          "metadata": {
            "tags": []
          },
          "output_type": "display_data"
        }
      ],
      "source": [
        "# Display an image (a 2D or 3D numpy array):\n",
        "np.random.seed(1)\n",
        "image1 = media.resize_image(np.random.rand(5, 5, 3), (50, 50))\n",
        "media.show_image(image1, border=True)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "height": 104
        },
        "executionInfo": {
          "elapsed": 256,
          "status": "ok",
          "timestamp": 1617322704039,
          "user": {
            "displayName": "",
            "photoUrl": "",
            "userId": ""
          },
          "user_tz": 420
        },
        "id": "ncofbBZ74DRS",
        "outputId": "f6b243bd-5305-4941-d16c-de14212a7a07"
      },
      "outputs": [
        {
          "data": {
            "text/html": [
              "\u003ctable class=\"show_images\" style=\"border-spacing:0;\"\u003e\u003ctr\u003e\u003ctd\u003e\u003cdiv style=\"display:flex; align-items:left;\"\u003e\n",
              "      \u003cdiv style=\"display:flex; flex-direction:column; align-items:center;\"\u003e\n",
              "      \u003cdiv\u003eA title\u003c/div\u003e\u003cdiv\u003e\u003cimg width=\"64\" height=\"64\" style=\"image-rendering:pixelated; object-fit:cover;\" 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\"/\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e\u003c/td\u003e\u003c/tr\u003e\u003c/table\u003e"
            ],
            "text/plain": [
              "\u003cIPython.core.display.HTML at 0x7fddc2c79ac8\u003e"
            ]
          },
          "metadata": {
            "tags": []
          },
          "output_type": "display_data"
        }
      ],
      "source": [
        "# Read, resize, and display an image:\n",
        "image2 = media.read_image(IMAGE)\n",
        "image2 = media.resize_image(image2, (64, 64))\n",
        "media.show_image(image2, title='A title')"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "height": 142
        },
        "executionInfo": {
          "elapsed": 152,
          "status": "ok",
          "timestamp": 1617322704250,
          "user": {
            "displayName": "",
            "photoUrl": "",
            "userId": ""
          },
          "user_tz": 420
        },
        "id": "lYc9Ozse4G6m",
        "outputId": "f7eaf6af-a8b1-4b6f-ad4d-724314489042"
      },
      "outputs": [
        {
          "data": {
            "text/html": [
              "\u003ctable class=\"show_images\" style=\"border-spacing:0;\"\u003e\u003ctr\u003e\u003ctd\u003e\u003cdiv style=\"display:flex; align-items:left;\"\u003e\n",
              "      \u003cdiv style=\"display:flex; flex-direction:column; align-items:center;\"\u003e\n",
              "      \u003cdiv\u003echeckerboard\u003c/div\u003e\u003cdiv\u003e\u003cimg width=\"100\" height=\"100\" style=\"border:1px solid black; image-rendering:pixelated; object-fit:cover;\" src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAEAAAABACAIAAAAlC+aJAAAAfklEQVR4nO3VMQ6EMBAEQZb//9mXIfILmpWqIuOshaWZ6+Wc85xnZsX9fS0noDZfeMf/3K//AwJq8/742vu2AxusD7ADNQE1O1ATULMDNQE1O1ATULMDNQE1O1ATULMDNQE1O1ATULMDNQE1O1ATULMDNQE1O1ATULMDNQG1H4RtgGgBrlFhAAAAAElFTkSuQmCC\"/\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e\u003c/td\u003e\u003ctd\u003e\u003cdiv style=\"display:flex; align-items:left;\"\u003e\n",
              "      \u003cdiv style=\"display:flex; flex-direction:column; align-items:center;\"\u003e\n",
              "      \u003cdiv\u003edarker noise\u003c/div\u003e\u003cdiv\u003e\u003cimg width=\"100\" height=\"100\" style=\"border:1px solid black; image-rendering:pixelated; object-fit:cover;\" 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              "      \u003cdiv style=\"display:flex; flex-direction:column; align-items:center;\"\u003e\n",
              "      \u003cdiv\u003eas YUV\u003c/div\u003e\u003cdiv\u003e\u003cimg width=\"100\" height=\"100\" style=\"border:1px solid black; image-rendering:pixelated; object-fit:cover;\" 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\"/\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e\u003c/td\u003e\u003ctd\u003e\u003cdiv 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              "      \u003cdiv style=\"display:flex; flex-direction:column; align-items:center;\"\u003e\n",
              "      \u003cdiv\u003erotated\u003c/div\u003e\u003cdiv\u003e\u003cimg width=\"100\" height=\"100\" style=\"border:1px solid black; image-rendering:pixelated; object-fit:cover;\" 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\"/\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e\u003c/td\u003e\u003ctd\u003e\u003cdiv style=\"display:flex; align-items:left;\"\u003e\n",
              "      \u003cdiv style=\"display:flex; flex-direction:column; align-items:center;\"\u003e\n",
              "      \u003cdiv\u003ethresholded\u003c/div\u003e\u003cdiv\u003e\u003cimg width=\"100\" height=\"100\" style=\"border:1px solid black; image-rendering:pixelated; object-fit:cover;\" src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAEAAAABACAIAAAAlC+aJAAACTklEQVR4nO1Z2XaEIAwlHv//l+kDHSZmZ1FqD/dpqhBu9mAh55zejGM1gVFsBVZjK7AaW4HV2AqsxlZgNc7VBDoBAOXHCxQAgDpxVt4VL1AgSbwLcs5P5AAAaAwie8mTnDN2yO0ewAzwb+MeYmtL3kLThaZunnUNqvFtBAk5msDygOg+8ZWtD87CplPEt3VNedXmAZdERJpr7GTqjM8Cex15VXa6FA1l3FSu4cTjirulKOCHUEeS/NomVnkiAWPgogA2HucdCfQm6nhjfD3BKYoICu2u7lNQTj/S1bTV9gY5+ECU6GLE3vzckxjbJTFo9XjN4IvFo09ifltu+VOs3FMU63DOka5+4T8Sq4ziYSTvbUL5ilbSGM4spPGoz4mepFV3FGINmodHOzGfKeIBZs8XwT7YP07H6308PcQubm/vGafJNJK8IDGKCWdMBNZQrF2SCD8AIbEkNrQv4nDf0OZKNXxn9MGvB1pvGFjVZ/5LIudAfLpMipKtU9NcnEYHiLhYcw5OD/dSQh7GmH/OIjvjcVlzgLjI9VgbP1YwCA7cDkV7uNMLb8n8eIPfYCr7V0G7tsyycfACyRecfKkGbmkjW+KKkWtkK0YrsZE5d9Qi4RIyLlTUQeuss/B1/hRxYuI+1N3miiOGrw/d6bJb2ye+TpPosgeT1Pohp5uWBmP6d3sz31J/a7n0xHcRrWenlsZPNnby6NzpyeyQ3HyfHr99a2Jb17dteXIwxsfN+mbxNG6hi83wMnsk5tO1ZDbei+5qvbHxb7HzYWPjr+AHsSgBaSQzxq4AAAAASUVORK5CYII=\"/\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e\u003c/td\u003e\u003c/tr\u003e\u003c/table\u003e"
            ],
            "text/plain": [
              "\u003cIPython.core.display.HTML at 0x7fddc248a1d0\u003e"
            ]
          },
          "metadata": {
            "tags": []
          },
          "output_type": "display_data"
        }
      ],
      "source": [
        "# Show titled images side-by-side:\n",
        "images = {\n",
        "    'checkerboard': np.kron([[0, 1] * 8, [1, 0] * 8] * 8, np.ones((4, 4))),\n",
        "    'darker noise': image1 * 0.7,\n",
        "    'as YCbCr': media.ycbcr_from_rgb(image2),\n",
        "    'as YUV': media.yuv_from_rgb(image2),\n",
        "    'rotated': np.rot90(image2),\n",
        "    'thresholded': (media.yuv_from_rgb(image2)[..., 0] \u003e 0.5),\n",
        "}\n",
        "media.show_images(images, vmin=0.0, vmax=1.0, border=True, height=100)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "height": 85
        },
        "executionInfo": {
          "elapsed": 158,
          "status": "ok",
          "timestamp": 1617322704490,
          "user": {
            "displayName": "",
            "photoUrl": "",
            "userId": ""
          },
          "user_tz": 420
        },
        "id": "foFEDvWsGfqX",
        "outputId": "2b85f394-9b33-4e26-922d-8be17cf5bb82"
      },
      "outputs": [
        {
          "data": {
            "text/html": [
              "\u003ctable class=\"show_images\" style=\"border-spacing:0;\"\u003e\u003ctr\u003e\u003ctd\u003e\u003cimg width=\"60\" height=\"60\" style=\"border:1px solid black; image-rendering:pixelated; object-fit:cover;\" src=\"data:image/png;base64,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\"/\u003e\u003c/td\u003e\u003c/tr\u003e\u003c/table\u003e"
            ],
            "text/plain": [
              "\u003cIPython.core.display.HTML at 0x7fddc2477d30\u003e"
            ]
          },
          "metadata": {
            "tags": []
          },
          "output_type": "display_data"
        }
      ],
      "source": [
        "# Show a scalar image using a color map:\n",
        "np.random.seed(1)\n",
        "image3 = media.resize_image(np.random.rand(5, 5) - 0.5, (60, 60))\n",
        "media.show_image(image3, cmap='bwr', border=True)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "height": 142
        },
        "executionInfo": {
          "elapsed": 142,
          "status": "ok",
          "timestamp": 1617322704670,
          "user": {
            "displayName": "",
            "photoUrl": "",
            "userId": ""
          },
          "user_tz": 420
        },
        "id": "se0OSrQa6YQh",
        "outputId": "969e2005-9ebf-421c-946d-b46c39aa2000"
      },
      "outputs": [
        {
          "data": {
            "text/html": [
              "\u003ctable class=\"show_images\" style=\"border-spacing:0;\"\u003e\u003ctr\u003e\u003ctd\u003e\u003cdiv style=\"display:flex; align-items:left;\"\u003e\n",
              "      \u003cdiv style=\"display:flex; flex-direction:column; align-items:center;\"\u003e\n",
              "      \u003cdiv\u003egray\u003c/div\u003e\u003cdiv\u003e\u003cimg width=\"100\" height=\"100\" style=\"border:1px solid black; image-rendering:pixelated; object-fit:cover;\" src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADwAAAA8CAIAAAC1nk4lAAAIu0lEQVR4nIWa2Xbjug5EOVnK7Xxu/3Z6Wp32JFI8D2WWi4Ccywcv25GoTRAogHDi9+/fU0o551LK6XRalmVZlnVd397e/jfG29vbuq7LspRSYoz7vt/v9/P5/Pfv39+/f//8+fPj4+Pj4+PHjx+/fv368+fP5+fn5XLZtq21FmMspWDC9/f3b9++vb+/Y85lWXLOMcbee6211nq/3+/3++12w5tt27Ztq7W21lpr+xily9jn0dyIMQJap9j3vfceQohjpDF67/oxzoO34DJ+TPPIOWN+XlD2fceHV8SwQc45pcQrdfVYMCfV55lvlJWvulq/7JwzroHJ9n1PKT2hW2spJWPaOgb3kdDg9pbmw1pr+BILNtx+eFyw8a98VuEflBuUtdZt23LOIA4h7PsOdPU2NbbhxkdCq2OEELg//ka1RQghpaSuWFpreKTZmpzztm14g43uvSMQFRrcJMb1CGsECaCVW637BbfOqcQTtLnZRAwI4FgIdkR3rdV4CLlxSwiB0GZCGssTa4So4R/QtVZG+iE0vgQxng3obduUW59RysPrMCeXwehUMys3ibkGEGP9vL7AKYFyOLBKDUfEMqHp1vCEUgqgEToKTS/3xIQ2xMTl9SGEUmtVv9GLSIzQRFAyIo2HqKlOp1MIodZKn8FivKVNBKuuG9vp5jyhyY0dUdU7nU6wH4MSF8DYhCYxrW4WQ882xMEpt8aoxhtG2bZN1RGOqyJdStm2DcTcX2wCLoCHqHtgAUaXKERGQ3rv6UWy1PXom4elMalODQ8mLs2spqLn0KLwQvqb2f3DFKNRaC54tZJSa+U9ZmpuKMPIPFL9HgbDVhiRMqLksfg4fT28EuPhHmbQ6rqnCs0wV7eLI/m9iqFDoxobGQPpE5/QrBCiiLxH90Mv0HtN0KhUHboKM6h59WZ6QsOn1bcM/SG6mh+O4ffRo3MYr/Dc/weaMWTiVLfSQ/fe81zm8o0uIMwqZpw7StyTO83p0xM/oGOM3Di8UqfCqOz0ka9ypw84fZ7BjS8iR1n5XDDwm6IPA6um1i/ixhhAHZfSe3jj4e1+bWA1O4lR/KXeDGqMV95Gk4RRsKuDMaFqkOkTdcFf7OQjjac59g937VCJ1MYabVrfxSGCSO8cQMftKvasHXgM1cPRs57mzSRW0/qg1vohjLzI6VjcpZTCOHHgTSllWRYcwsGdRhmjFUHvHaD4yMPodBrHYeQVrh+4IEgaRyZXk0TJPtTEnDObE+u6KjT4brcb3rOEZCOBRyQ8pZxOJ09MRL+nea5Oce7i3mFSmBb0OHeFEOAh67qi6XE6nQDdWrvf7zFGlI2YCvXj9Xq9Xq9A5xG7tVZws3qwEqN3gze0NBwRz8g548GonmF7mBagant4CIy9LEsah6A4GkBxnOVg+Mvlcrlcbrcb2jf0lrKua5R6l2YmMYdxRJSBYZxiqHr0PBhPC1RMziYWoOH3WSp1QF+v18sYtDe4C1ZsoJUYDTEDTVBsJaOT0EpMHYzjZE5nw8V6LzYN1r1er+fzmfZmo6xgxQpNJwaxh4Zv4A0L7nR0YtVM6TOASUy0MTt68Onz+Yw3t9vNQmsIet8ANCvPNMoPrW9UCs0C/DdGnhlnCk1u4yEWmu6hosF8lkdzjJWdGbimS+vHZB+lTClBOgwo3/CjdlMf0HGuEmlsPcwagsNNp4Phe5OJ4FS0JWZorV1lHLJq2/cRiAqd3PHB+BzrCkpbH+0Yepfq3asDfIwREomY+/fv3/l8RsypNpu0wvz1gGZkaLFhagPWFeqFeqRlYwnGpkqolt3vd3gF4xjQn5+fQFeh8A1OjCe0Lz9UhljR4n7YDNBMeGwe4GLmKUIzV8PY+Ab6QG5Ck5hOmMZBqazrGuaTi1ci1plUMW2MEBHJVQORHqJZGgLPlUMcwA11g7T5Ziw/PqBfaZMWsipSdOtdungsj7o0aNLoKUIo0LGgKlOPTfLzXSui7/telmUhk4ELo270g9doilZjcE/DqPE1QaqMqCTTMbSgVfRHlbcsS5exH/UgtfjUzEwsxoBXRp2EHkX9okqoqClxHK0fZSvLsqjlMDt3sLuiWZWODqCyo9C8lx6sv7jpj24MD+oP9gftTOMFhb8zYF41kreZukeUSl8F3mQTnRzqoelDdU3Dw2uDBtsTmqUZKbEvaT7NaxY0EmmgCaE+Zo4kVAmNXSO7Ph8XUyoY6fDxp+s+LD+SlHvBFUY6dEJKpNm07I7SAadxvdPsRZ9rDCQzPswYOM0HXhPW+hqkvE7jCJykzMzuKK3cT+guXRvjAOq13kK0h67TaLmKIx5fxs/snASUWld67seV1CyzU+pYpRSECwK8zb/i6S2qceYI3ec0GWOEBnPZWl1qjemNXYyPqjH2fcdc6oXaf+gvBq8n9z7/VJBGP8QQG+js2r4PSxtBoKtk+TlMBVtDap/7QHxVYgPNAxvXgPEFsZr5aelwlHi9AqiY0FuQ3ihw+3x20nzEaAuSlYobr2w8+bSqWHwxlJ62ZB7G9yjqWVR4hw4jzzGm6bivDOxt/LB0n9u7UeRd3SjOmbnWiqnDqO6j/E6n0LsriPUMivMyob82MI14bOksQ+mpZewtgTKN7p76jB4RVIjYTtHmhCeOUthQzSZo49Ze6qnEIMvyv0dcUp/LTjoGFwxodPTe3t74r1HsTxhJVlC16RPaZ1QNaiXDCS+E0Frjn9TjvW+oyym0/ksXzZxclWveTO6hljbcPDUF+XcimifOv+FS8phQVOPKaAYpNI/AaS6PDl+LyeGanE2iynN7qbXGc6tCK7eB1kDU/6XT9pX6gyIp24F7qFubdKXQ9GaFVm4tTbscGrLrcaqlPbFBjyp5xtJRBJXcaeT5Hb8hSP+JgqilUh9FuVG97JqGamnDahw4MiOaBSl3mgvcMJpMPmjoaVqZ8M0hNxVaY537ptCTpV9tQXIjS/3p5YkP0JxvtvHQEBroHlpdgJP8B7g2xNzGGehCAAAAAElFTkSuQmCC\"/\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e\u003c/td\u003e\u003ctd\u003e\u003cdiv style=\"display:flex; align-items:left;\"\u003e\n",
              "      \u003cdiv style=\"display:flex; flex-direction:column; align-items:center;\"\u003e\n",
              "      \u003cdiv\u003e[0, 1]\u003c/div\u003e\u003cdiv\u003e\u003cimg width=\"100\" height=\"100\" style=\"border:1px solid black; image-rendering:pixelated; object-fit:cover;\" src=\"data:image/png;base64,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\"/\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e\u003c/td\u003e\u003ctd\u003e\u003cdiv style=\"display:flex; align-items:left;\"\u003e\n",
              "      \u003cdiv style=\"display:flex; flex-direction:column; align-items:center;\"\u003e\n",
              "      \u003cdiv\u003ebwr\u003c/div\u003e\u003cdiv\u003e\u003cimg width=\"100\" height=\"100\" style=\"border:1px solid black; image-rendering:pixelated; object-fit:cover;\" src=\"data:image/png;base64,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\"/\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e\u003c/td\u003e\u003ctd\u003e\u003cdiv style=\"display:flex; align-items:left;\"\u003e\n",
              "      \u003cdiv style=\"display:flex; flex-direction:column; align-items:center;\"\u003e\n",
              "      \u003cdiv\u003ejet\u003c/div\u003e\u003cdiv\u003e\u003cimg width=\"100\" height=\"100\" style=\"border:1px solid black; image-rendering:pixelated; object-fit:cover;\" 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style=\"display:flex; align-items:left;\"\u003e\n",
              "      \u003cdiv style=\"display:flex; flex-direction:column; align-items:center;\"\u003e\n",
              "      \u003cdiv\u003ejet [0, 0.5]\u003c/div\u003e\u003cdiv\u003e\u003cimg width=\"100\" height=\"100\" style=\"border:1px solid black; image-rendering:pixelated; object-fit:cover;\" src=\"data:image/png;base64,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\"/\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e\u003c/td\u003e\u003ctd\u003e\u003cdiv style=\"display:flex; align-items:left;\"\u003e\n",
              "      \u003cdiv style=\"display:flex; flex-direction:column; align-items:center;\"\u003e\n",
              "      \u003cdiv\u003eradial\u003c/div\u003e\u003cdiv\u003e\u003cimg width=\"100\" height=\"100\" style=\"border:1px solid black; image-rendering:pixelated; object-fit:cover;\" 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UVFRbW0tm82empq6e/euTqcTi8V1dXVcLndsbOzevXter3ffvn3ou3fv/gGaAlyaoLQejycUCsXjcUDXeDxedna2VCqVyWQSiSQ9PR2LxdpsNhDH/f39CoVifX09LS1NLpfv2LGjsrKSw+HY7fbh4eE7d+5MTk4iEIjCwsKGhobNmzfDMDwyMnL37l29Xs/n8+vr67ds2eLz+fr7+x8+fIhCoaqrq8vLy4PBYF9f3/j4OJvNbmhoQN+5cyfh6T+oMwCXIpFIAoFAoVDYbLZAIJBIJLm5uRKJRCAQUCiUaDRqNBqnpqZAHCuVSrvdnpaWVlxcvHPnztraWqFQ6PV6R0dHb926NTw87PF4pFJpQ0NDZWUlmUxWKBQ9PT1jY2M4HK6qqqquro5CoQwNDfX09BgMBplMtmvXLh6P9/jx49u3bzudzu3bt1dXV6PHx8cTghjAd/8R+ZBIHA5HJBIpFArgIEKhEOBSPp8PmJzP51teXp6YmBgeHn706NHMzIzH46HT6XK5fOfOnfX19dnZ2aFQ6MmTJ93d3f39/WtraxkZGfX19Q0NDXw+32g03rlzp6+vz+VylZWV7dmzRyqVms3mnp6ekZERIpG4Y8eOiooKr9cLFpaenr5nzx6hUIgGAkUCMOFwuEQxB1wakCuBQMDn8xNsBYbhlZUVUKVHR0fHx8d1Ol04HOZwOMXFxTt27Kitrc3OzoZheHx8vKur6/bt2zqdjkaj1dTU7Nu3TyqVejye/v7+rq6uhYUFHo+3e/fubdu2IRCIgYGB7u5um81WW1u7d+9eJpPZ19d38+ZNj8ezZ8+euro6n8+Hzs7OTmiVeDweqFigjAMunZ6ezmKxGAwGkC+i0ajNZtPr9Wq1GlRpjUYD0H1WVlZpaWldXV1lZaVQKAyFQuPj49evX+/u7p6bmyOTydXV1U1NTaWlpRAEjYyMdHR0jI2NJScn19XV7d27l81mj4+Pt7e3K5VKLpe7f//+4uJis9nc2dk5Pj4uFAqbmpoEAkFfXx96z549CW1zI/ag/D5SUlIIBAJQvdbX14GDVSoVQIx6vR6oExKJpKKioqampqSkhMPheL3eJ0+edHV1dXd3q9VqIpFYWVnZ3NxcXV1NIBAeP3587dq1/v5+GIarqqqam5sLCgqAfX19fQgEYseOHXv27MHj8e3t7Tdv3ozFYrt27aqtrbXb7e3t7ejm5uaNKC/p94HH44EOG4vFgFi/uroKyrharZ6dnV1eXnY4HIDb5efnb926devWrTKZjEKh2O320dHR7u7u27dvz83NAYsPHDhQX19PpVKnpqauXbvW3d29vr6+ZcuWAwcOVFdXwzB8+/btjo4Os9kMJovF4snJyStXrszPz5eWlj799NMMBuPq1atdXV3/wR4bZX1QGmEY9ng8Ho/HZrOtrq7q9XqtVruwsLC4uAgodywWo1AoIpGoqKgI5H+RSITFYg0Gw/Dw8K1bt/r7+3U6HZlMBkbs2rWLyWTOzs5eu3ato6NjeXlZLBY3Nzfv3r2bRCL19fX9+uuvSqVSIBCAZdjt9ra2tnv37tFotAMHDpSXl2u12l9++WVxcREN0sVGbgvUD6fTub6+nqiIoChaLBYgH5LJZB6Pl5eXJ5fLAeCk0+mhUEilUg0MDNy5c2d4eHhtbQ1UuObm5vr6eiaTOT8/39bWduXKlZmZGS6X+9RTTzU3N3O53ImJiZ9//vn+/fvJycmNjY2NjY14PL6zs/Pq1asej+fQoUNNTU0IBKKjo6O3t5fNZqPv37+fKC6JiggUJiDMAaHN7XYD/RiIQxKJRCaTFRYW5ubmcrlcDAZjtVqVSuX9+/f7+/snJyc9Hk9GRkZNTU1TU1N1dTWVSp2dnW1ra/vll19UKhWLxWpqajp48GBOTo5Wq/35559v3LgRCoUaGxsPHTokEAiGh4d//PFHtVotl8sPHz6clZXV19d3+fJll8v17LPPoi9dupTQ8hJCOtCGfT5fIBCIRCIIBAIoRhwOJysrKzc3Ny8vLycnh8vlEggEn883MzMzOjr64MGDR48eLS4uIhAIqVRaX1+/b9++0tJSAoEA4vjKlSsqlYpOpzc2Nh4+fLiwsNBkMv32229XrlyxWCzV1dUtLS1yuXxxcfGHH364d+8em80+fPhwTU2NXq///vvvFQqFXC4/cuQI+ubNm3/oXSRaQRgMBqjIdDodSBBisVgsFgMJAQiyCwsLADqPjIyoVCqHw5GamgqqdENDg1QqhSAI5IqOjo6ZmRkWi9XY2NjS0lJSUmK1Wq9evfrjjz9qtdrNmzcfPXq0rq7O5XL98ssvbW1tEAQ1NzcfOHAAgqBff/31+vXraWlpL7zwQnl5ORq0CBIJBPQiiEQi0I8ZDAYgtnw+n8fjsdlsCoWCwWACgYBWq52ZmXny5Mno6OjU1JTJZEIgEFlZWeXl5aBK8/l8j8czMjICcsXy8jKXy21qajp8+HBJSYnNZrt69erFixdVKpVEIjl69GhjYyMCgWhvb//+++/X1tb27dt37NgxLpfb2dl56dIlp9P54osvHjhwwOVyoWtra4HFCbqV4IhAgWYwGFQqNSUlBYfDxWIxt9ttMpnm5uYACZ2enjYYDKFQiEajyWSybdu21dTUbN68mUwmG43G/v7+jo6O/v7+9fV1sVj81FNPHTx4sLCwEPi4tbVVoVBkZma2tLQcPHiQTCZfv379woULGo2mtLT05Zdf3rJli0KhOH/+/NTU1LZt206cOMFgMFpbW9EnT55MGA0qIqCJoIsDuk/RaNTn84E0AnQJtVo9Nze3srICpHlAEKurqwGTg2FYoVDcuXOnq6trbGwMhuEtW7Y0Nzc3Nzfn5OSYTCbgY4VCwefzjx49euTIESaT2dvb+/XXX4+MjEgkkpdffrmhocFoNF64cOH27dsikejkyZMlJSVDQ0Pnz5+HAoEAEO8SPUIAnsLhsMfjWVlZUalUvb29ra2tf/3rXw8ePCiXy5lMJuhGpqSkFBYWvvjii+fPn5+cnASdkJWVlba2tpMnT4rFYtDmaWho+Oabb4CmvLCw8Mknn4BYz8zM/OCDD3Q6XSwW6+/vb2pqQqPRPB7v7NmzABh/9NFHaWlpFArl9OnTPp9Pp9M9//zzEAShQa8uwVxAa8vj8TgcDqvVajabTSaT0Wg0Go2rq6t2uz0QCKDRaCqVmpmZKZPJAHMRi8VkMtntdgMOcvfu3bGxMZfLxePx6urqQPUmkUggH1+5ckWr1UokkpaWliNHjvB4vMHBwXPnzt28eZNKpR4/fvyFF17AYrEXL15sbW31er0nTpw4duxYLBZrbW1tb28XiUTon3766b9FdbBQ0CICXSYYhlEoFIlE4vP5IpEoLy+voKBAKpUKBAIymez3+5VK5cjICOAger0eh8OVlZXt3r177969BQUFMAz39fWBfGyxWECuOHjwIJPJfPDgwblz5zo7O8lk8tGjR1966SUqlfrbb7+dO3dueXm5ubn5tddeYzKZ33333bfffotGo0+ePAlt2rQpJycHaKEcDodOp5NIJNBgBVklKSmJyWRKpdLdu3e/8cYb//rXv3p7e4FaDLppSqXyu+++e+mll6RSKQ6HQyAQAoHghRdeuHz5MpBkV1dXL168uHfv3uTkZAwGs23bttbWVpvNBsNwT09PU1MTFoul0WinTp1aWlqKRCLXrl0rKSmBIKiurm5gYCAej9+4caOgoACFQr366qtWq/U/PBwAD4D1QEMJyFA7duxoaWl57733zp8/39vbOzs7C5pA0WjUarU+evTo66+/PnHiREFBAWhj0mi0hoaGM2fOPHnyBIjcCoXigw8+KCwsRKFQKSkpBw4c6OzsBIp9W1vbzp070Wg0k8l85513lpaWotHojRs3qqqqIAgqKyvr6uqKx+MPHz7cvn07BEH79+/XaDTBYBBdU1OzMXskUh6NRgMpj8lk0mg0oIxBEAT04/n5eZDyVCqVTqcLBAIUCqWwsLC6urq2tnbLli0UCsVsNg8MDLS3t/f19ZnNZoFAAKq0XC53uVzt7e0XLlwYGRnhcrnHjx9/6aWX0tPTu7u7z549OzAwUFRUdOrUqV27dqlUqs8++6yvr6+iouLtt9+WSCQ//PAD1N3dfevWrd7eXkDulUrlwsLC6uqqy+UCfBZ0vK1W6/T09M2bN//xj3+cPHmyqqoqPT0djUaDPlpVVdU777xz/fp1EA9er3dwcPD999+Xy+VYLBaHw1VWVn7xxRegVaLVaj/++GNwJEUikZw9e9ZsNsMwfO3aNeDjzZs3X758ORKJzM3NtbS0oFCovLy89vb2eDze09OTn58P/fcZFHC4xuFwGAwGpVLZ29t78eLFDz/88OjRo1VVVUAqB4cDBALBnj17/va3v3V3d5tMplgsFgwGlUrlP//5z71791KpVAiCgCO7uro8Hg8Mww8fPnzttddYLBYCgSgtLb1w4YLT6fT7/T/99BOI46KiosuXL8MwvLi4+Morr2CxWKFQeOnSpWg0+vjx45qaGgiCEJOTkxs7tgAtAd0DpLzV1VUgfbhcLhiGQbNVIBDk5eUVFRVt3rxZIpFQqdRQKKTVah8+fHj37t2HDx8aDAYikVhcXLx///49e/aIxWK73d7T0/Pjjz/eu3cPgqD6+npQQQKBwM8//3zu3DmVSlVWVnbq1Kmmpia9Xn/mzJnvvvuOTqe/9957L774olar/ctf/tLe3r57927omWeeOXDgQFNT0969e+vq6srLy/Pz8zMzM+l0OpFIBEdPQJdbIBBUVlYeO3bszJkzgJCCBOJ2uxUKxVdffXXo0CGRSAS2R0FBwalTp4C8EolExsfH33///dzcXAiC2Gz266+//vjx41gsptfrP/roI4FAgEAg6urqurq6otHo3NzcK6+8gsfjORzOl19+GQwGFxcXjxw5gkAgysvLh4eHocQhpISiB/AdiURisVg5OTlVVVXPPffcu++++8033/T29i4sLHi93ng8Hg6HgQbwySef7N+/PyMjA0CunJycV155pa2tzWw2g3z3ww8/NDU1gf6dXC7//PPPQXV88uTJq6++mpaWhsVin376aZDdpqamWlpasFgsj8f78ssvA4HA8vLyiRMnUChUQUFBT09PPB5HFBQUbOSIRCIx0QkAbBy0ful0OplMBo17m822tLQ0PT2tUCgmJibm5uZsNhsejxeJRBUVFeBz8Xg8r9f7+PHjzs7OmzdvAp1u586dAB9DEHTnzp3z58/fvn2bSCQ+99xzr732mlQqHR4e/uyzzzo6Ovh8/jvvvHPs2LG1tbXTp0+3traKxeJPPvmksbHx5s2bUGdnJ2D5vb29g4ODT548mZmZMRgMoGKDbQrDsN1un52dvXPnzr///e833nhj+/btPB4Pi8VCEEShUMrKyt588822tja9Xh+Lxfx+/6NHjz766KOysjJwgKm0tPTs2bPz8/PxeHx5efns2bP5+fkQBIlEotOnT5tMpkgkcuPGDZCP8/LyLl26FA6HFxcXT5w4gUajJRLJb7/9Fo/H+/r6CgsLoT+kDqCPeb1ei8Wi1WofP358/fr1r7766t1333322WeLi4vZbDawlUAgSCSSp59++tNPP713757VagXJbnR09O9///v27dvJZDICgRCJRK+//npfXx9AZnfv3j127BiVSkWhUNu2bfvpp5/A1r9w4UJBQQEEQRUVFe3t7dFoVKPRHDlyBIVCbdq0CVg8MDBQVlaGRCIRvb29/62abuSI4MgHOIgAdiSbzc7OzgYcUSqVZmRk4PF4u90+NTX14MGDe/fujY+PO53O9PR0oM7U1tYyGAytVtvR0XH58mWFQpGWlvbUU0+dOHGipKREr9e3trZ+++23ZrN57969b7/9dmVl5djY2OnTpzs6OmQy2YcfftjY2Dg4OPjuu+8ODw8fO3YMKioqKiwslMlkmzZtEolEHA4HnGQB4BOCIAwGQ6FQgJx8/PjxTz/9tLOzU6PRAFoeDAbn5uZ+/fXXP//5z8XFxcnJySA/NDc3X7hwAVQTm8125cqVZ555Bhz8KCkp+fLLL8HJiIGBgeeff55AIJDJ5FdffVWj0cRisZ6eHhD35eXlYOf19fWVlZUhEIiWlhaj0QiBo4CJflxKSgqTyQSNvdra2oMHD7711luff/55W1vb2NgYQP3AVp1Od+vWrY8//ripqSkzMxP0PQQCwXPPPdfa2rqwsBCLxTwez927d//0pz8JhUKwmJMnTw4MDEQiEZvNdv78eVBQRCLRmTNnrFZrMBi8dOkSCPfdu3cPDw/H4/Gurq7CwkIkEnn8+HGj0eh0Ov8HRyFd5014WHcAAAAASUVORK5CYII=\"/\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e\u003c/td\u003e\u003c/tr\u003e\u003c/table\u003e"
            ],
            "text/plain": [
              "\u003cIPython.core.display.HTML at 0x7fddc248a4a8\u003e"
            ]
          },
          "metadata": {
            "tags": []
          },
          "output_type": "display_data"
        }
      ],
      "source": [
        "# More examples of color maps and value bounds:\n",
        "images = {\n",
        "    'gray': image3,\n",
        "    '[0, 1]': media.to_rgb(image3, vmin=0.0, vmax=1.0),\n",
        "    'bwr': media.to_rgb(image3, cmap='bwr'),\n",
        "    'jet': media.to_rgb(image3, cmap='jet'),\n",
        "    'jet [0, 0.5]': media.to_rgb(image3, vmin=0.0, vmax=0.5, cmap='jet'),\n",
        "    'radial': np.cos(((np.indices((60, 60)).T / 10)**2).sum(axis=-1)),\n",
        "}\n",
        "media.show_images(images, border=True, height=100)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "2rG0ClXrr4OY"
      },
      "outputs": [],
      "source": [
        "# Write an image to a file:\n",
        "media.write_image('/tmp/image3.png', image3)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "oF5fYOHz2gOe"
      },
      "source": [
        "### Video examples"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "height": 88
        },
        "executionInfo": {
          "elapsed": 42349,
          "status": "ok",
          "timestamp": 1617322747258,
          "user": {
            "displayName": "",
            "photoUrl": "",
            "userId": ""
          },
          "user_tz": 420
        },
        "id": "TnZA4PSo4IvH",
        "outputId": "66ebe6b5-a562-47ea-82a1-c36fb01a645b"
      },
      "outputs": [
        {
          "data": {
            "text/html": [
              "\u003ctable class=\"show_videos\" style=\"border-spacing:0;\"\u003e\u003ctr\u003e\u003ctd\u003e\u003cvideo controls width=\"65\" height=\"65\" style=\"object-fit:cover;\" loop autoplay\u003e\n",
              "      \u003csource src=\"data:video/mp4;base64,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\" type=\"video/mp4\"/\u003e\n",
              "      This browser does not support the video tag.\n",
              "      \u003c/video\u003e\u003c/td\u003e\u003c/tr\u003e\u003c/table\u003e"
            ],
            "text/plain": [
              "\u003cIPython.core.display.HTML at 0x7fddc230f080\u003e"
            ]
          },
          "metadata": {
            "tags": []
          },
          "output_type": "display_data"
        }
      ],
      "source": [
        "# Display a video (a 3D or 4D array, or an iterable of images):\n",
        "video1 = media.moving_circle((65, 65), num_images=10)\n",
        "media.show_video(video1, fps=2)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "height": 71
        },
        "executionInfo": {
          "elapsed": 435,
          "status": "ok",
          "timestamp": 1617322747724,
          "user": {
            "displayName": "",
            "photoUrl": "",
            "userId": ""
          },
          "user_tz": 420
        },
        "id": "b5O7KcwgTf1H",
        "outputId": "43c9ae3b-ee5c-4656-dff1-161d903a610f"
      },
      "outputs": [
        {
          "data": {
            "text/html": [
              "\u003ctable class=\"show_videos\" style=\"border-spacing:0;\"\u003e\u003ctr\u003e\u003ctd\u003e\u003cimg width=\"48\" height=\"48\" style=\"image-rendering:pixelated; object-fit:cover;\" src=\"data:image/gif;base64,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\"/\u003e\u003c/td\u003e\u003c/tr\u003e\u003c/table\u003e"
            ],
            "text/plain": [
              "\u003cIPython.core.display.HTML at 0x7fddc2304cf8\u003e"
            ]
          },
          "metadata": {
            "tags": []
          },
          "output_type": "display_data"
        }
      ],
      "source": [
        "# Show a video as a GIF, so that it is visible in the GitHub notebook preview:\n",
        "media.show_video(1.0 - video1, height=48, codec='gif', fps=4)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "height": 133
        },
        "executionInfo": {
          "elapsed": 167,
          "status": "ok",
          "timestamp": 1617322747901,
          "user": {
            "displayName": "",
            "photoUrl": "",
            "userId": ""
          },
          "user_tz": 420
        },
        "id": "A2j57n6t4KS9",
        "outputId": "01d2b0d0-07ab-44f7-ffb2-36933f5318a4"
      },
      "outputs": [
        {
          "data": {
            "text/html": [
              "\u003ctable class=\"show_images\" style=\"border-spacing:0;\"\u003e\u003ctr\u003e\u003ctd\u003e\u003cimg width=\"50\" height=\"50\" style=\"border:1px solid black; image-rendering:pixelated; object-fit:cover;\" src=\"data:image/png;base64,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\"/\u003e\u003c/td\u003e\u003ctd\u003e\u003cimg width=\"50\" height=\"50\" style=\"border:1px solid black; 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object-fit:cover;\" src=\"data:image/png;base64,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\"/\u003e\u003c/td\u003e\u003ctd\u003e\u003cimg width=\"50\" height=\"50\" style=\"border:1px solid black; image-rendering:pixelated; object-fit:cover;\" src=\"data:image/png;base64,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\"/\u003e\u003c/td\u003e\u003c/tr\u003e\u003c/table\u003e"
            ],
            "text/plain": [
              "\u003cIPython.core.display.HTML at 0x7fddc2477e80\u003e"
            ]
          },
          "metadata": {
            "tags": []
          },
          "output_type": "display_data"
        }
      ],
      "source": [
        "# Show video frames side-by-side:\n",
        "media.show_images(video1, columns=6, border=True, height=50)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "height": 90
        },
        "executionInfo": {
          "elapsed": 144,
          "status": "ok",
          "timestamp": 1617322748090,
          "user": {
            "displayName": "",
            "photoUrl": "",
            "userId": ""
          },
          "user_tz": 420
        },
        "id": "LIGWewIO4Lgs",
        "outputId": "f8ffb905-6bdc-42ad-ef8e-6d3461fec227"
      },
      "outputs": [
        {
          "data": {
            "text/html": [
              "\u003ctable class=\"show_images\" style=\"border-spacing:0;\"\u003e\u003ctr\u003e\u003ctd\u003e\u003cdiv style=\"display:flex; align-items:left;\"\u003e\n",
              "      \u003cdiv style=\"display:flex; flex-direction:column; align-items:center;\"\u003e\n",
              "      \u003cdiv\u003e0\u003c/div\u003e\u003cdiv\u003e\u003cimg width=\"50\" height=\"50\" style=\"image-rendering:pixelated; object-fit:cover;\" src=\"data:image/png;base64,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\"/\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e\u003c/td\u003e\u003ctd\u003e\u003cdiv style=\"display:flex; align-items:left;\"\u003e\n",
              "      \u003cdiv style=\"display:flex; flex-direction:column; align-items:center;\"\u003e\n",
              "      \u003cdiv\u003e1\u003c/div\u003e\u003cdiv\u003e\u003cimg width=\"50\" height=\"50\" style=\"image-rendering:pixelated; object-fit:cover;\" src=\"data:image/png;base64,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\"/\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e\u003c/td\u003e\u003ctd\u003e\u003cdiv style=\"display:flex; align-items:left;\"\u003e\n",
              "      \u003cdiv style=\"display:flex; flex-direction:column; align-items:center;\"\u003e\n",
              "      \u003cdiv\u003e2\u003c/div\u003e\u003cdiv\u003e\u003cimg width=\"50\" height=\"50\" style=\"image-rendering:pixelated; object-fit:cover;\" src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADIAAAAyCAIAAACRXR/mAAACcUlEQVR4nO2XPWsUQRjH//PM7NzmcrcJ5PCS4kgkQSSFgkIatbMQIoLETkQh5gOIfgILbRSLVClECxsVLVTwAwSUGFNIRFQIaNCAb9EjCbe7Ny8WQTGXu8CA60WYH9PtM7s/Zv77MMM4B4LWQ7bnqQiwHfFaLngtF7yWC17LBSHbbdCU7bpaXssBr+WC13LBa7ngu7wL/6kWYzwIIIAAlhsD1X4tRqSVWVtKWQjLISN0lAKDeju1SATxar1nsO/k1cnaynK+u/R29sH0vZvFXhBxCw2WoRa73OxWzXI8iXWx0jV+dz4qV9ZLrdHVL4v3rxx///pFvsQt19ndqqlJPWNc6d6hytk781G5otLYaKVVyoh3l3eevjQztGcfS7WkJnP/1mjy6lDm4iWMnDpX7K2opCZkSFxwIQGrVcKD3OEzk2YVORLZaTVmi4in3+PdR/YPj40DEDL8c8eJOIBk5askBLCUWbYauzwjphL09O+SnZGKayLs2DyHk1gPBs9Oq/FPNCZfwLe56erCq67BYWs0o8avs19LbTLT2pQtYzoL4fLzD4uPbwMwafq71FpjVAqAE0mbVaqaZwsAkrinn7+ZuljaO9J3aFQnNeLCGk0y5DJfXZyfuXaiEIHpOs8sXC3aqTHW4snE0YPXH5UPjAJgCJLq50+zD1/euqBX1mSRYLPbw1Za1jJJBmbu/LH+sQmVropi9GPh2cenc4UBlg/JZunUWguAMSxH1pp3N6YQwnKICKWBDm1rsDZTpy211s3AcjsEBCBhubFpjbaa8G+0AMBC1cEABbAsO9VGtusx0J/lHfBaLngtF7yWC17LhZ+gMswtAZpoVQAAAABJRU5ErkJggg==\"/\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e\u003c/td\u003e\u003ctd\u003e\u003cdiv style=\"display:flex; align-items:left;\"\u003e\n",
              "      \u003cdiv style=\"display:flex; flex-direction:column; align-items:center;\"\u003e\n",
              "      \u003cdiv\u003e3\u003c/div\u003e\u003cdiv\u003e\u003cimg width=\"50\" height=\"50\" style=\"image-rendering:pixelated; object-fit:cover;\" src=\"data:image/png;base64,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\"/\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e\u003c/td\u003e\u003ctd\u003e\u003cdiv style=\"display:flex; align-items:left;\"\u003e\n",
              "      \u003cdiv style=\"display:flex; flex-direction:column; align-items:center;\"\u003e\n",
              "      \u003cdiv\u003e4\u003c/div\u003e\u003cdiv\u003e\u003cimg width=\"50\" height=\"50\" style=\"image-rendering:pixelated; object-fit:cover;\" src=\"data:image/png;base64,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\"/\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e\u003c/td\u003e\u003ctd\u003e\u003cdiv style=\"display:flex; align-items:left;\"\u003e\n",
              "      \u003cdiv style=\"display:flex; flex-direction:column; align-items:center;\"\u003e\n",
              "      \u003cdiv\u003e5\u003c/div\u003e\u003cdiv\u003e\u003cimg width=\"50\" height=\"50\" style=\"image-rendering:pixelated; object-fit:cover;\" src=\"data:image/png;base64,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\"/\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e\u003c/td\u003e\u003ctd\u003e\u003cdiv style=\"display:flex; align-items:left;\"\u003e\n",
              "      \u003cdiv style=\"display:flex; flex-direction:column; align-items:center;\"\u003e\n",
              "      \u003cdiv\u003e6\u003c/div\u003e\u003cdiv\u003e\u003cimg width=\"50\" height=\"50\" style=\"image-rendering:pixelated; object-fit:cover;\" src=\"data:image/png;base64,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\"/\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e\u003c/td\u003e\u003ctd\u003e\u003cdiv style=\"display:flex; align-items:left;\"\u003e\n",
              "      \u003cdiv style=\"display:flex; flex-direction:column; align-items:center;\"\u003e\n",
              "      \u003cdiv\u003e7\u003c/div\u003e\u003cdiv\u003e\u003cimg width=\"50\" height=\"50\" style=\"image-rendering:pixelated; object-fit:cover;\" src=\"data:image/png;base64,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\"/\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e\u003c/td\u003e\u003ctd\u003e\u003cdiv style=\"display:flex; align-items:left;\"\u003e\n",
              "      \u003cdiv style=\"display:flex; flex-direction:column; align-items:center;\"\u003e\n",
              "      \u003cdiv\u003e8\u003c/div\u003e\u003cdiv\u003e\u003cimg width=\"50\" height=\"50\" style=\"image-rendering:pixelated; object-fit:cover;\" src=\"data:image/png;base64,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\"/\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e\u003c/td\u003e\u003ctd\u003e\u003cdiv style=\"display:flex; align-items:left;\"\u003e\n",
              "      \u003cdiv style=\"display:flex; flex-direction:column; align-items:center;\"\u003e\n",
              "      \u003cdiv\u003e9\u003c/div\u003e\u003cdiv\u003e\u003cimg width=\"50\" height=\"50\" style=\"image-rendering:pixelated; object-fit:cover;\" src=\"data:image/png;base64,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\"/\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e\u003c/td\u003e\u003c/tr\u003e\u003c/table\u003e"
            ],
            "text/plain": [
              "\u003cIPython.core.display.HTML at 0x7fddc2477b38\u003e"
            ]
          },
          "metadata": {
            "tags": []
          },
          "output_type": "display_data"
        }
      ],
      "source": [
        "# Show the frames with their indices:\n",
        "media.show_images({f'{i}': image for i, image in enumerate(video1)}, width=50)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "height": 147
        },
        "executionInfo": {
          "elapsed": 590,
          "status": "ok",
          "timestamp": 1617333886693,
          "user": {
            "displayName": "",
            "photoUrl": "",
            "userId": ""
          },
          "user_tz": 420
        },
        "id": "tcTYajBB4Mum",
        "outputId": "70c023be-edbd-416b-8215-bcf4c1678f09"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "Shape is (num_images, height, width, num_channels) = (10, 180, 320, 3).\n",
            "Framerate is 30.0 frames/s.\n"
          ]
        },
        {
          "data": {
            "text/html": [
              "\u003ctable class=\"show_videos\" style=\"border-spacing:0;\"\u003e\u003ctr\u003e\u003ctd\u003e\u003cimg width=\"160\" height=\"90\" style=\"image-rendering:pixelated; object-fit:cover;\" 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\"/\u003e\u003c/td\u003e\u003c/tr\u003e\u003c/table\u003e"
            ],
            "text/plain": [
              "\u003cIPython.core.display.HTML at 0x7fddc2b76940\u003e"
            ]
          },
          "metadata": {
            "tags": []
          },
          "output_type": "display_data"
        }
      ],
      "source": [
        "# Read, resize, and display a video:\n",
        "video2 = media.read_video(VIDEO)\n",
        "print(f'Shape is (num_images, height, width, num_channels) = {video2.shape}.')\n",
        "print(f'Framerate is {video2.metadata.fps} frames/s.')\n",
        "video2 = media.resize_video(video2, np.array(video2.shape[1:3]) // 2)\n",
        "media.show_video(video2, fps=5, codec='gif')"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "height": 83
        },
        "executionInfo": {
          "elapsed": 358,
          "status": "ok",
          "timestamp": 1617322749611,
          "user": {
            "displayName": "",
            "photoUrl": "",
            "userId": ""
          },
          "user_tz": 420
        },
        "id": "N8yf9a924N9U",
        "outputId": "8296bfdd-8bd2-4416-fd8f-64d92d40ae0f"
      },
      "outputs": [
        {
          "data": {
            "text/html": [
              "\u003ctable class=\"show_videos\" style=\"border-spacing:0;\"\u003e\u003ctr\u003e\u003ctd\u003e\u003cimg width=\"60\" height=\"60\" style=\"image-rendering:pixelated; object-fit:cover;\" 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\"/\u003e\u003c/td\u003e\u003c/tr\u003e\u003c/table\u003e"
            ],
            "text/plain": [
              "\u003cIPython.core.display.HTML at 0x7fddc2341550\u003e"
            ]
          },
          "metadata": {
            "tags": []
          },
          "output_type": "display_data"
        }
      ],
      "source": [
        "# Display a two-frame flipping video as a GIF:\n",
        "media.show_video([image3 + 0.5, (image3 + 0.5) * 0.8], fps=2, codec='gif')"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "height": 130
        },
        "executionInfo": {
          "elapsed": 1605,
          "status": "ok",
          "timestamp": 1617333776617,
          "user": {
            "displayName": "",
            "photoUrl": "",
            "userId": ""
          },
          "user_tz": 420
        },
        "id": "Jat4TONW4QQe",
        "outputId": "09e99376-80a1-4a90-f609-6ced703a84cc"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "num_images=10 shape=(180, 320) fps=30.0\n"
          ]
        },
        {
          "data": {
            "text/html": [
              "\u003ctable class=\"show_videos\" style=\"border-spacing:0;\"\u003e\u003ctr\u003e\u003ctd\u003e\u003cvideo controls width=\"160\" height=\"90\" style=\"object-fit:cover;\" loop autoplay\u003e\n",
              "      \u003csource 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type=\"video/mp4\"/\u003e\n",
              "      This browser does not support the video tag.\n",
              "      \u003c/video\u003e\u003c/td\u003e\u003c/tr\u003e\u003c/table\u003e"
            ],
            "text/plain": [
              "\u003cIPython.core.display.HTML at 0x7fddc3390470\u003e"
            ]
          },
          "metadata": {
            "tags": []
          },
          "output_type": "display_data"
        }
      ],
      "source": [
        "# Darken a video frame-by-frame:\n",
        "new_file = '/tmp/out.mp4'\n",
        "with media.VideoReader(VIDEO) as reader:\n",
        "  print(f'num_images={reader.num_images} shape={reader.shape} fps={reader.fps}')\n",
        "  darken_image = lambda image: media.to_float01(image) * 0.5\n",
        "  with media.VideoWriter(\n",
        "      new_file, shape=reader.shape, fps=reader.fps / 5,\n",
        "      bps=reader.bps / 5) as writer:\n",
        "    for image in reader:\n",
        "      writer.add_image(darken_image(image))\n",
        "media.show_video(media.read_video(new_file), height=90)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "height": 130
        },
        "executionInfo": {
          "elapsed": 835,
          "status": "ok",
          "timestamp": 1617322752186,
          "user": {
            "displayName": "",
            "photoUrl": "",
            "userId": ""
          },
          "user_tz": 420
        },
        "id": "UHAhP5H38BoS",
        "outputId": "705a0d57-9d77-4fa9-942e-fe229037ae4e"
      },
      "outputs": [
        {
          "data": {
            "text/html": [
              "\u003ctable class=\"show_videos\" style=\"border-spacing:0;\"\u003e\u003ctr\u003e\u003ctd\u003e\u003cdiv style=\"display:flex; align-items:left;\"\u003e\n",
              "      \u003cdiv style=\"display:flex; flex-direction:column; align-items:center;\"\u003e\n",
              "      \u003cdiv\u003emirror loop\u003c/div\u003e\u003cdiv\u003e\u003cvideo controls width=\"160\" height=\"90\" style=\"object-fit:cover;\" loop autoplay\u003e\n",
              "      \u003csource 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t9wSd+KGjIxjb3PFLP1xwQEsNqc1xf2zWJgnU5i4J+9k9XZ1palqrujvgO8PilLEazcfAYXmZHi10mdK4kL5VvGZQ8w9XQ9vjQoOu1dzg4gw+2J4n3D82fKjw8CRSyopGZqNsnGHxDGjgbzSEuSzO7RLMUAtXhl1lnaESujElG5CQvtL1gVTYXlB6IHDLFcQu2bVr+bo2nDW45uc91jS1UnmPScwNJy83Ddj9x06kl1nQO9/pWMoIq9vQxAtO/PBlMSByWqrabe9sGMbuFyJ6cuUZoub+SZ+/2kv2MPOhk456Yuifdxe7PuspBUw6NAZ9S4FXWUo69NX3h3MQyx4713vkxpxJEUn4wTxIV6S7yKknpoVWxYCfO9X+u+irvAA8SPUSUiLEUZvHnbTBNfQTRTo5dM8wSdCtBpJdKpV/8Jn6ncMiHUrYRhTwYSBI73jmxpzHxyzmKZ30PFZ+TVgeTUNmLBXXHoLmWjRPyvSYFeVRM36kk9QLQOAQZ6ByLh/sXo3BiB+kbv8QC3Sn55l6TiIsYoQXzfleHccBcv2k+GSkehfy61YEG1uwQFG/pVWDD/a0bJCwQ/SS5sHw42qHM1V6e5F6Ll9FXFYAmru3i182JsqpmoD4lrgVyGI6zwLmkqYRlaBQw9d0QEXLTdap+/HYM+vsGd6EdUyIeeK6fo55eL3Rq6JRp/vUOp38QN69Tqn8gfk8jax8cP9LvIhU14j5XnCmFSe0ZDx+vNCzRtnmJH8UfanbfZuHt/xCtIlVYgDH3dZ0MmoU6GIXZtk84aCDqdAAWBf3OfNSudovTL254u76uquTvMY0nNAI1/d4dRlL/lupNcCvsW2bTWEBxgv1JrCB6AaUsHt6PP3MmBldfJV8pkZCML/ELlAQeumHJpK/3j9v4cSP8rQD4sKxKmqiQcvY3eHbchamyIVt05SPHhkONbGdPXaJjQkah/pPb+N1rQL2EkKW0fifBSjqnTLF3IadfQd4SKZBKNN4aSVcGUmI35zAINblX6TnuTO+sZ54LG8n6z5mbnq1NSPYag2CKHKH5vyTmBGW7VjZcwKG50VNBH7oOA46QaOwiTwNjQKlUE7zk6M6kASlHWOnr/1NeRcAsOuMlUdfYfUizsH8/YkewIg+POKiILueL/IgXgAkAbleddxW7jZ90VNfZ4tQZzw80KQDYwXpLSRpiAN+Brja81GP6ti0u3V3Gqg4dh5De3Y+kaVzBVwu4qU5pqjtEq/AZQWq3E8J7cuXoiw1B5wlPAFAjk3HzmAn6wtUEg973aS+ID0h+wEEZVCLwG5j9IXjAIZO+NQjFjTjGyugwmWragpizBdSRACxz89cZv4msGGgLchKRFjULB8hoArPFTTU/rtrdSP0kf18BQXbr53edo4EBJM841uD+QvYjD69zUmmiAP0zfarEuf1zKCeFANQ0om7jWOmpCxHeSyGhkIlvLDrTEb9XoQTbHut2akMxs5p7B3OqPdoZwq40ndXxZ6eaELUvr8AuZGRNMbGxmCx7GUvpV9xD56+SJiEp8+TSdSER8HrbLe2+WFznyk1hM6IuplA76d7zPC0EQGvacjhSkCEwUuFOMfSQHjbZttYqo99m8SIwgc2KgqnbKA6YjFONWTx4xPEJoYz58v5TTiQGvc9Taq7pKKEyBdfGS5Q+JZ5XrpyfAaroakfe+jePoDHUiixHbD99rxeGG7jCt8Ao6NTduSHViJkPtgwAlq2KAXB/HyTdTRicQxJZ1VXzg7C5P1+K8LMO2DyIQPYPFQnXHHpS2xobxRsWZs4Io7cztlDsvTEEZT0eFxVUzaoCzIy4cTgSRiWMW+xUmpW2jLVWDM3ijXXwzum8zbNSW0/+RXug1lsScIoS0RHhfJchoayNfcFi4nytoHKcawUJyJbSqbyITzRwUl0xSSbymH/wz2vTIt3P8VfldHO5W19wqw4MxC28FrVoSo3gmNPIw7S526jQ3BKmm7rjvXU/TLrgA9/gn8Je+fGU/N3qKgAU4iJL8vq6DVwPIF1geWxly2lyYORk/nDhh3jqOpncgs68Tvmx7dWWCrtKNfT7mYkimU5Dhm7XfTuhMR1tZYxAGwLPpgpbf7iPsvJX9fRgVm1uHeXGP2ejoAA/ZfGuceDeTmfvJeDGcT5zLRHPTht/xz6uTldSAJZmNs92GeoTSHRgNQPL0csPKy58RINHGg1r5uKMekaLrW0DT3VOS7dVo+QMx4vLwsyd/imlTnDbu1l16RyJIuI49rO6fM1z+2ibjN6lMhkeTSTRMR16P8vs3Et3waDyUCNRPP/J/ruyXVZTXlPyphdcd660pJw58gkQFitxXcVwnCqzpejpVDSZGwecoBnn8Fk8JeKexYXb5gVmse9eE653lNJPghRg6d/r4z13tKoRcTGC2yTe0Y/PoSPfA5XYe/RnJ+XJ+qfgqB/I5iZM1Jo9YEVu/wIIAC682BPsQ7/TSkBLGns2AOMHdRGmwruZIgeuaOmIo0DP3mD//oMWbsx92jpBAXtsBgf1SNDvNmbDf6kbxfP6qgUi9DCIFqgLnoKJyCe/KcnIZ4WAEUVDPYNCp/jFK/StIXsNto4AGQLjn2ZbdYFmF9Ozzt5KSB6Zvood3EpHpGpZD3KYHJ0HrNTcChhYlQYrh3hOwnls/3gXTvAZY1+2XOPX2xZr1h4aD7TMs4IuOiSTsjDRoHdNSlIwXDpQ42gG2vkLdc6CxCquw4UgJ0fdR/TqMmOZmizGBO5qfpM6u2VxZT/LFsp3jRH8FWiwFxXEmSQrs3r4L6DRBOYbrnqbZVbsxBK2EIChINyKp9vpgsW8ZsfgQ7hcIITAsmVMn/ycnSjrTJfpoU5WsA5Fst0OP0EiDWHKHv1DjF1MNFnedcDAOSTcnZwfrkD/RBaSTbwHcb+HybSA0WPH73n2dKzUOWH6MC2rj8f/uK5Rpm37mVpxsiXMMv1mFwsJsX0h5Oa3yTu6kAOd7QeJml6P5JJXjcHIPJ2Hfq9HCpcDDLld6MqxyIz3T4VjCVnpbti4QGwxjI5IX+42yl0NweDHLou0w3uu7IIzNaySygy3orwNIAVCV1AVFVp2vf6mGlEpT9cJqyKj567s7ndsvxBQakhUc04SXz0CHA1TxIQP3SiFOhUS+WTLQnPnFI10EZaYLNAuzrXJYk/n51B/ZOBlCu3ibbIASoFoX33phNoyZjAkJr/uFTNRjiKE4R8OM/Ll8wODf1r6XV46DUHDjarruFMyh0vgJYPyu+nGEAAAj6QZokbH/pyLsstp0L1z28n+LkW1za3c9Qd7a2onciwEw6+NF31nwsLXRoYs1Bc2MYwCXe5JjWVdRnzK3hvG8O/GubzSezSDf4vuKOnWsUffRmO2eYQJvGdp2HVE99NRa9wqsCfVHNwi0/G0aKOzWvIGp5pXouUWnntNAzuxzdYm1Vmyc+BS/63axdqdvn1m+0twdV8mTksvFPVIlz3ozDU4j6DNaYoNgy3OsBUuSviHl0eNW6Sj4KTn+enKoT1YTECakaT1zq7FYPYV2NWkJ1AjPHjbk0TKZ803mrA9vz5yCK/edT7KwnLLYKCukuWUsYio6rKyWITwA1CMqg7q0X4KrXgzcRl1nJPsSi5vOf5lrEH/stkxrdqxitTJ8JJluT+L3eEG9vPoQ4tL5aUKh68Q/d6nA9J5/mZ1/w4ZnWwHogsZLPJ4IBTtCpIfmNGqZormoW+GeAicrCTgFqHz4DUYr6LS/lavFcQS7FGY7r61DtsuICgs29OccvFMuuysRb9QZ4QimH+8Hu9NIQm6SzdWygFYN4qJliE2pR8vJi9EbZUwRckHZ2QriAmLWX9xV+c91mBC2bbf33GczNB5yJ82Ih+JHaz6Y3Rzzq63lIQWNA8+bNSmEdwadKSnxzrZjbDROZlZuIkDqC1qA/YnR/CxFNBXMmjS69/FXlJH/EiR/Issw0LKjMUEZkMrbFchGoxJwaVFDFZ1xUKLsBKoYDNk4c7N04XIKNBSViNC+dHaDsSFCmcvZhoXdPcE9fsTJoAt2g94k0sYL/Ycd6DavEHmCAI6wvJvfR0uJItQWBWNLkJgsFQ8F9Fnb4kKbiwwKLyUgspzEsEfChjnhxXFX/j66qGXnWksXXdHZFjCawpMLUpgrLpQ0s+eTVHgqeniP4V9XkbYF61Yt7gfldHEm+CaO5AUh4DfybkFL6uVnbILjJJfqUaekRqO8+qM/0ZKm3TXaNc/PqhD78grLABG4b2mg3blmACtvYzfrqak43TMaR1qaThhKRThLx/dfWNZ0YAlqOBHi6iNcTvuP/r6pNkBzBxX7P/mDarbht7N57UoVcOOR4eyQpYXS0MyJ8hP/3w+1CZQkPKtbOwUShoAcCA3ysSmTGQU7PRYPl36dlzGt3w0Kju9ekfNTlHh0Uamkh+ULD8EKvXLx/4AQZaRTaGFaZy72i1UmxaiRbw+z9aM3thlsjFD8mz1c0CkvT3ICO72zFsx8Ih6lK6s0B+R8Bq+FxWTgJy5fE6vGBq66IFWC0gsGmYydlRIOBgoUunAsJzCxojbMaJ+DrREjLAyGALgrkD+/lTJQ3S6PSCV6hzBHbQcK4N2iKZJvv+THWQ/OmiC2FvQ6XXZnrs9Jslv50OChwgpSSYnrE4Fcf7BYDb8UhCKkGSrLBVd3bMQtZVf120T0R0GUsDOZnI8rCIRPPhAgarwOm6vS8SSIRMRNbkIgAVIXl3R4jQ+HpLtSYX1uziyEHXKDiWh8cECQtM1OHag/WFFSrnXloeCSVnnP827tP4lMhMmNQKA/P605ES2fz/yRCjYGw9FD0ANpCDvP4S9zQYrlmCIOsKfHz9AzmTr018WhbEuPkx1RxISKoC711xPQpbN7kWVHSxQpRH1GhXmE6sM+MpgE7SBqKGsl34pbv4fo7ucdXpeeeF0TGPhjrjtA4B2R/KQ156zEJE5+UEI5tAH0qX94jWWToeoPjywsK3JYl/zujAxfy9HGS5J9czeV/fxhPHnkm47FnJYEb4Gev6CdFqAUffOEPzdoDRk8qszsYvwFjS7/wPmyPKigkUEPlMrnenZOlkvG7wi5znMJtgQU/Qbh5J3OLkulK6L3MXIy4uSIntB/wwI5czBTG2/vrWK7hJxq5z8YdZkHpBKTCCSP6+Ylr9A7nPHTE8cDE5bYI8yPdEVlW4Te3HqcRICFczkr5n+jXbJM7j3XVuXSn4yiKKZML1ydeIghGcyOJx0+8K3I64FXhBBvDmzupCfsiNcI8spSg0gvAA2kL6mJHbWVtD/HrPYtlrRTozb/EHCLz6uSW1j8hJwqNG/W9AIf46cWj28RrHq2+mHPNlDI6ZmSbIguzCwD0cO+dgPCGclA03YVRxN739GDxq2fxCkLPRv7EThGz1/lSGCtMrtxCnODgT9+HxRPMcy0p8HW1EzKEXdOf+LTjdtzC7mddm+CDDmERwTbC+IIoa6Mt9Ho+mv+jMBh0Y+tzuwzVEfgPxjZTxmtm+mr5IgMvlOYnxkez+aYUtHBl6GhEOvjAtfyyqyV4uU7lb3xM/1mcDWdiErXE2crWW9m7ue+PmvlcySVWx/7rqQGkBwtf0o8mFXDt+rqADNix+h7C5GwBJM/Lnx2W9DLRBnBL6MpmGn/0qm+RuYF/06sA2oLqc5S3hT9t6g2FV7cnGvk6fO0FxVeVe96qKOPaA3wx23yvtowjA7fkHVAC/7Zz8opXF/4PS0k3/AYkBhon5NEFQqNp2aRhZpXs3T6A2U0KG4xR8xO0oZ26YIbpZOk0Z+kyVKzRW6XIheCdoMQn7AxzoCyiiESAABlFVfFO9y0S3ePYCDpcWIwptUSstMu/t3ddD6nqbNyqqLLNEB9LFMpoNlFb1jW6sRjEokEdZ/FSeBiyDdmWWqHkZYtBISEK3qdmbABoqn2YE+zfnHJ5qYmab+tqRao55kVzMMO0tKGTEZFy6vOX6+i+Bphgeve1RwsTAvSa8qR9fxKU2LxXBKKliGt9FqqfcC+RMWE9+GZxCV07OKxV9E8hSkwVOhEWjK7J1LizKrRa9DiUFIvy5yuZkCNVDNwTvkXZq7YkCxNoxcG8Uyoo1Qf9Juv33YKnrCS4TAWXrpzZmWKk2/utJOgeMP2dxmkSExzct1osNoZIwN7CR0yOoMtCpnCY5ExdmzkSFUnUCllDkau1k8D8k143MrjLgest8s0TwR0CHkKpj2b0MgQ1QWB6eI/HGnhK2Kc+ZRj6mUW+g5ajTSoAN4ipdgbF8T+0yfneZxRmoo678pm6mQxKe2IrT9jx1cjqK6Iz4FX7s9/JkHzDnO+Z0gouHNi5Y0XwMNUxk7X+jHckAAADo0GeQnivJ/xVQRL895dOMUkE63lofP8RoR2iU8VNVW5GufIkKNaKObpIrrjoKQRJii5Q4RkJ3GFDqKFcDfE06BbP2AJV40HjcMLdqa/gx03vlYZnlATZLD/sHshPtcDqWH3W+rMc8SLeEs5buOCC1hxCBtO8/oinlyhrhbDQmcXYc/WAKsQ4AG840SwDowsfk83J9Ke7Ua2fi4XSC3MExUyBooA8+RBSd7ATwItVbOcNTFgoaldg8x3tQi8HfKwfl9QCNeVy6YvYI5vyLUYTDliaXT1mQUq0k/4FEJ0OtthKfkPqiMKqfq4gSSkA0P7hC6d63ASUS655xaCcPAV+itr3SaYbFVFj2ONlSj2pKRsW5yzdmveRHE2ixK9OtPkGJNB+WhPQ4JMZmFSlvjnu+wPtjaLhRSqt+VKa5QONjyZ/odg+bWLQR9GSnpoeV8Q+S6N4oh1WhwO00cN7jp43LpzGc4hWMHVtKgVlv6l2Jq3vCChno4HfjRSyYNQ1h/jbADgTBWt0tBshL9sNP+R8AXv549WKXeXPCHDVWAz1SbPiXYet3Nlaw5Ri7OtoXCCwXDuZROvhFDJ/9QTpibBEuNM2SY3zHK8H2GsBK6fuO7Is3Z/Eyr5MiUHxxvieGMwocpF1WF867Ab0GVgd/xMC7G9FgvjHl93aS18dguUHFHNlK6twnig9dUTq8jCjz3mJ4AdHeBWFc2QKFO55kCGTgVImPh0Kab5sMp1lBZhMPYlBbi5wYPzp4zcpfER1CD8rgJx3XH1D/lnpISg2z5hp90uiMS3KKgIW9Ind1SWH8RhaXVESfh8PrEBHjLSaVQsbY9FGDGUUtgYVc8x+YqDAICGGBriIhStQX0RPgTejP7IjEtoX9tCGT/yJX418wSrD3koEkh2yXgqLB96uXWCoeqliyAg7zVqRTn9eCAgYhmZBuutUs12auPuxoix2EXz8OSVowRiu5HU/lh3zAoY8FXpvU0MR0/c+WJmBcyDoeGC4DxoZKF4mFHr1xh0OqgcIVumOnwYEeO1dRZJNWsmF1sHmiBGUWIylGrQ2BpDLozM9bcjDFUbRZiU9Qp1lIevXzRgsXtO5IZmY+esxcTBqVzGjIaysei5sVXQFb6DfMg/j8E06shFd/58HUqsT8CS8uWD6M50R0NjzL9PK1odvPuuWVhp2PQn6F2+4xDoBEGdBwRM5kK8i8hGkbxiltgRph10tru/jKlQJeY4UGOwm7nzf3vEAAAGuAZ5hdEn/LYAK6kGP9BzW9OocR4sHSh2cDFzEMByGWKEQB9tXpD+Vm7x5FbOga+On4xeUa0cI1gjqpa38F0PWf0K4WjhcNf4lo8NMb+cpZ8cYSvzltOXdQH5fJF/wG8tJzgvvjt1cTukBA635f3P/bW0KsiBsq5NSIsPnbS2EdgdvrsGS4I097+Hff/D2ZWQ2Q3P70IPdBbr1flwxEkFnqcpFH8Pv3haOVfDyOOvm3EA+hYNUs+0Nmeqx1DQxnJNc0sFXtb3W4CLeIhaEVykzP1wqWEmOGuqbqtqryVkH6KFMM6etq2RR9nMEOeu8tcQImrZFRH5ezmbIpZJM1AaIwQfIHt+1wr7oOh/zmDvPGOceYKwOvPsuJMwsNa820THYdDNqOrhiq8pJBRAH4EPzCsucVeW36WuK0kCRQkD/DTmFOsRv3Qj8497SAwSHiTlaOCi75SDo2CzzUMk3RnkDDFjCXX95Hl+5uxl+bYJNG1OnlGwitDd11fBG9V2+b6ztWF87Xz0rjcjYkc3qVoQGuw096m8b3PIgDJml2MHxCXwnx+wSsMfj2h62peXUwAAAAbMBnmNqSf8if+bzh/QfWxS4d4OTgKGQE4OXWBT20pLT4BRRedcyodG0fBCtz0iHFoB8+WEBvwu+5698B6fwymIGOxAU9buVp7fgMLyiKQTYTZFSgcPDb7Ov3X1OicxqxHI6uT96DCcYS//VpPcg2p0b1mNK/fOv69CdQ+jf85DA+XouLDFAm9UsiHz4byfEnNJEIKSzla0hCb2yRXAKGqVesd68yaZtEeJ64huvxUE9irN8TVYCO/3k46w8qYFjYlwTqptQMIKYFG+E9WDdVkwyceEExr8A6P/stYuBGxvCevqzmqpSM0UliAHSD646mn/VXk8KUt/Z4A5bswM6Q/9SUrx2z6QcWXUpaEZp5aJILf0gFYHeQCJe8+jzlnhlLPDxh6EYUEChc40cqDLZrRHZhMUq1JZ70d098mGbwKMw9DQP6exeDIwZJZ3rv/43Ys9KmPrzp+b56oET0c1DIUdItbvT0zkBdZzDQJUzmcHkpSDtbCx7hjEMBScwWhMqCQmJmZNgHsFPTzrwXdGcf+uTvqI8c2UsSuQxYWR0lt2jFB99OlVGvOZowDDGvA1gcVhheAMAAAhOQZpnSahBaJlMD//pnvZuh6eAw8SW2Pa2yWJGl/PPUJv11FAk7nGq55bnHS6Cn9PKGzRqTVh2+KZJrH3Mcfou9Qoza1yQcXM4nv7qgADpZ1GPf9xvV7YLpts82TXJRJicrsJ5c5I2MPX+u6idfCmGe1S2pR42YK0vvRE7Y8W9NQzK45bs/fh6LVT2cCB/WAWWNTDA/DEkgkyCQs4CgQxBHPdrb40BS9XSYsgx28909GRsRcvKFFLv/lJND8qmVmngclAkUAr33NnBsZP4wuvdXoni7faDxLw6qgWbj25d8NebtNF6iY/VORjPUcF2q6rKGeBElm3qrfs5eyqkSsx+1pX2xnYRgBgSLxFFc26NoYexflBJoh5LneFRoNXDmlNUqh2pulVo9a3V9RnONiLQY5et4JMeHqc4Y9vCY5Ub8HSIIEjYbWTTVKuYA3jXDXGqtQWqItVtofVTY0NzWM75UlYKDapeaAtxgdtFpfOa/tJc8vq0ChS7bccHrNNAQagBblH6rqJo2zLSK+XKfYwFv6CIT+jp1zsJ5mIKB1h7XISjWHh5h8pbHjVyZPclo43nZ7quipRisnkoKbpbbDmwqvy936ZKYwHdzmr8MDstZ3p9eU5vzGGQGG33Le7I+1TyoFMoi7jdo4yFpN7hXSRzKDq/MQmkXnPRvejDVd2NtO+G0wAMcdy+ygkWG6I+/4oVQQobrl2qD2V3z0Hrg3EEp2zw7xrAO/dFeJIz1udoB4HfeRRr/LxxoezX6hXkHMLcOJL63TEfPWzuDKSJVhvBp20/2WPj9EuV30MAhm0PbGu7iieEUdyYtP9hS4PFFIVZCYkecbD9qIHk37sOeYhGV4dzDoNxQEojP2MdhtWxb4MlUW8620AbN015F+4L3GZoqwb18BaVYAQ/AZuV3wCAg+nGGnVSh8N+WqeifRmNmXLxnba4FdCqzWQTAP70B9Ug0J4miPBPpGZ8FJj4q0jjZ19ZSWKlTVWmZJq6khMAi7NdCcLTCup/B5P0otPHMTf1g27U/8v/wZLr3EZqw5R3oT/twBcWStI5BZ4mvRRGofOyuVuzwIWg52VMXpowKpmOeUJhxOT17y9+tjdnhvLKgzki33zKY6sxBjOc1vGroGdnyHNLHD0ErRGlw6KGEkSzwJqegZ/8Hu3TIG7c7Ihmy6T+aUMn+jTcimRls69pJ1hj44nlVbe9IBjy76zJeKvLHNDFfVowvN8dlOx5F/niCjiDR/LAl6TU0Cv+f4hOi5a7ACJmo30iJlLM2Opm1+bnsQ0/0Ywz5Jnp8SQVF27Vq11nHwiSgsTjJLO5cR+nFVPrTJ0zjBE+B6wIt0aDEvPkfQSJKu5qWYvqdJv3w1gHiDICe2OY/TLa1+MEXxjllimZH2XfwwyqgHSspRH4XTBxgbHF0VZwadTSRh7FcaHeCrkQJH61tOOv78UNanfrigadFv8IuueYpVi3vEDFWdgjSUgXAuDD36yo0Nm/SH0tm5+mOzWlZwXkf32iOkWLfomu7t816SqZ/ezIUnDvRtpZLeKQM6o13DUUBGtSQGbSpLDa1yuPsroj4+UV6Cpou4G30xZYHIE0lOH0HnlzUt+N0LLm4n4t0n9xfGlVdj3/b+JYk7GJ4vEFYtaVo1zUXsYlLNL3ZdIVqXlRCG7t95b59djF4iZDhmCKUII66iqM9Jr0Cz3LYJn/hppSHB+TMse/ywcQV93yFkNs+yX23wyGcMVr4F95oYPmtm237DGJxaVxSleY8LVtCY1zVhU9Lrr0jjRNnP4KoJ2lz9/55/byIXx2tD6jC/Ou8ZVqCuZZ+yYRtzQx9Uf+41nkONmuXag97hpnUmAY5xM4xRZ3W/lIifWc4dGpgxW3oJuVH1z9V+l0KSDDhPNNkU9k1RPXruLOJk2no75gndNV11fNZlG8vyEgKCkcUNRQJa84q8vjZThwwussG4v3A+S077bgEt+qU8KU5ywjSkXTHETVq6NPsfEcD4gm+M9kD7sdxetOIqeJvYOna37OaUCcI3xcggpHkGhWPGJ7MghdGPWpk4ksNSkEn2ZFrrigZbtwX3YnuLEYUVNds7uNK/bwIU7k4orgJIG5Uh2RmmevQ0bpYpwnSjP1/SUKivAnI5ayK8Km/9jBUKdwPFIPYRC7FxgM8vhsUFenF+XD14IHq3ctNnGTeqTwjWqJyu6uW1mlX6osgBfRO7ioldxg5Ti9Ds/Q6RmMxkPUVFB5WlK/qq+V3I5AXVUrVgu/0tF4gx8ByZN+vk3IdxvfKqUEggNzOSlY6jc+akbGA2XBpsj9bQ19u2JlcINi5Qo8sgGblLSU49/SkHbB4MU2cJY4fOYPjQ1y+GcqDp0GBbMeSdxnx8EzSLwCjoblxvIbXwkpEM9V7VetuRkHlOLZ5SeaRDyNJ5BBPZ7o+aMtj0xn5Q723r6gQjd6ZxuYzNTgkmn4BR+/JvVguNcpDvTsI0SYkWaltfg1sh3uu4pynMVvwg/zdzfCDstqzPSlNkxYHOXr+4BHey/iaSnhXUitUTf4ejWgLOE8yKl36XucbXVSo8+MilzQCYfttSglRXie1JE+XxsWA6ZEdgp2x5B5KlTdw6Gmgxssx4UFFmZp6EeqNKUi6SKzNXN171NbQ/vZFWhQoLeM5gY7eiEaoFKarsrB0MgqnyrN8hPOA59ouGa+BIrVZkDehKkHhwMQ8qyvLQXS+z/0MZLOvlOukAr/t2QblUvXDULtUJhwE9zLNGhYdoj6aM9SRCVuEYBVTNZHUADVtYgmYCH7PN8J0mUmxwMEz90wHaLC/qKoyaLgkoYgPH9tAMJeeuE0pPN9pxDN8DMTPBbrWYEAAALVQZ6FRREtfyTe43tr1rsIus7rD4QZyVe9Effrlf0gTf8uL1Hb56LyxA8gdRzcElxYv3AWRy4Sry6rBhU68MiOcmvgyb1wowTOvQgFk8r/qoWA8dX9nSBF50QNLDQW8wz3RUy+X4DImW9cLcSW73171da8zcLcVdKQgikewAep3226HcnA1pEN1Fs92ahI9dKZK+3JJI4G+A0Ad/7/vrb1CntdOn5WnTZPac0WRiAn7Kkq1VLYiGKZU6VeCNBXtQ7KMc1t5XkOxl89jlv9mfpjywEU8NkPs/gJdVPv2hOopvEN7TdrR+3vaxXajEL9pfm8wsQUWtPYDOAnZkv0AyRgZeJ04pwZhndcKuOqsGJ3uvlDSXR9emsjEtXuiSjgDDZfncaZSdPb6IoSwHymOeCT2W5k6hwCV4I0O7BZADbjjCuxXzR7eGFtuo3sAfNje1t1ZWuLca1fIPqac64cz179qKlDTSbo7lJklAblwLsVjDqXzkmO1z8kQ2r7ZslNG9CIHFS+yTvbtlvkq9z4UCKhkUNC3XnyQP7WKeWeHnWknzurZNf2vvNkXX0RtpUw1Hc0zbAUJt3aIyTqljUbc29GVxg5nXl5FN03vO5YTklTx6JmQHodUMME0k6E+jE65PmpxgGLkGshZr968rd3iAmQguAcC0yiAMClONSm6PNUGaUXpsWpKnJZdCOoojeVHJIdaZ/wCw/tgcaYQ9DdDorRmpPYWt/aCgZnOeXAG778YtNac7XR3ZMp18YPhXEX/M65meOcOkkpdr2v+yutJCSNLYjEaoOdGFu9dq/M5LFrVIBlaIMAEC1NzfZMxqZYfijTatmszyBomXp7haEPZt7xv74IVRNJCfMDIMTGeEOq/5PtG+w8RBXD+PbFEtcJirlL4i/+dh5yjebyU6ENSup8d6TNAtvaMnyw1/u0lE3AfJwwYLJFPrjd51u4QlggcZF9a2C9xIEAAAHMAZ6makn/IRT8M1sw8M2HX+A6dKGeuh0m5KEPg7UFSIuwlqbnJuHq3pehEoVPGEYmjjjYhXAWdyVE/jrVicol2z8z4PR+BcFdulxHSOAE2EFJgwnR2xSTFwp3PSOCSCvPxY6tFFblRV/vxfD68FeFANovzAY+0Acsz6wB1dsuGGP4yZiGtQM1Wnq68CMLMryC6MLgeYAZridpYIGdYb6EHHKobQdGTSYOGA7fK/wKpaxtQpunlJxEVTyD8qGQBtJdZEDypx5FDMatDT1ZiPzqp7lYZ6ANoJEhw2W31phm4fZs10eXBKoeY55eUYVWJUImm9P+e7yzm8VqZesJZ1Am6VlSjQx2gWVfYlwY90wEI0I9r+WKwbFqekEhVplBB+XjiRJv9cZYvDAlRVQJjb82nsGJnieqvSb/9/D2HdFfMbIeEHe+gqQPeWXfS2QKmuriy0g/lcKineqLIaoUupxKUBN5c+jSa2IqBsYSlOcfZ637XUbcLfVCanmbxEqsBpg8qFVm7v2NhN+WR9XFcfP2uJo/iW0lIEH+Q7OoKKbJQgz91wYFhyYAxUfHyetI2nZUOu52YumlFkjQopIJTRukQCUoCCwaWionYxW81QAAB0ZBmqlJqEFsmUwUT//pnvdbccytacGvR6thrrMKbYBFnVtzuHIzbcbVhO7jssDG06upUm1iecU0EhTxdh3XjGRquyKRuSAaVNIeC6xUMoOJWLSY2tBQik6Tf1oB6aDPTUVAn2LOHfOa9VDb+UNy89TIf0eg3O9A9AjCvpXebuQBRiDA2psfR2gqcfg9ofHhGo0W48OtQcAxm2BJZutxoMqOp1p7k4Buz6l7tA4j+nifeC+DljtwGdDxJyRFWVfeZVVKvCsiDmL6alBoPFCmI+Plk0pFR0GSPuhT7NDZz0pcrBNc77ETV5Z2W9keFjbswlmcAmge0fiyN3emugdLb5x7qgXaRk+I2S0OuNOYfKVoh6vMGkDCpdcZ6UHFBX3FKhWIL1Z/QmRfB8tvEZLIyJbYaPTOkhbpawdMxjay7Yudv0Clc+SHQqGyEBoUfkSFfghmxqcxhvGajD/7Cm561GmvS+ZIWDXMtNsk+MzEOqXRZWZwxJxGpZfjucd0q7D+QooAYv6JpMHlvyB5Mw0LIX63noSSP6lkwdA1TQWdG7qcr61/YNX0QcMZ4TzKGbm/FQe+NpguLKyJ225dNfAlAwyBTG26BMvyTGRXijjAyPXCFIM9Z3xvmxnk+7pxiZh1UL7TLHlcbJLknT/kcsXyU5jPZFIG00VG/frrU4rIcPuq+JzmgsAHHvcxJeueIXRHwlyaAmApVYM5bqVlxn+Jkvx8KUgtttixAC0ha3pmZc/NOX+JTWZlXgeLV4wnO19dpiutley5YwVdh6dQotXLmvfnBKWbd4kqcDmlxaKdMOYUwzreLYBzXIl2YyLKeOcaZSAN/CTYc0XopvXmiLnIaqUIS6HKQrpQAOrPfnjB+BboE9+tZqGe3Iv4y/R417sGfCnf1bd8xRdZGVHfr9XLkPHYluJAHZ53lN0OeV+Jgelqp14Guqe12L9zXCmJ6Qn+nlOvmc+hSrIHPotv2nynuO+WQAEoWPcpY6fONIFm0J3TQqWbXOMGsnDP40tyLhPUO2vHiq52FNdXDLWdmOtV0MTqOM8L++Dxlw3aO03H7rdL5ZN+5RlO5ofCsT2j+MVOn+hZJTCjHYZjjd14rubwMKoXxcVNvDbCUwnyaVN9qVqZJXBVtrlz58YP9YY36eWa6BU2GfaxfZ/FHz5wcbMHA9kymykDYuoy9pMPNUAh5VBB99fnw9502sKcjFzNeJr69ntSjrtkEI26NrM6R3X1qV5n5lR6ErrRLOs719EMmggYprQ4tvzT7RwtUJ7XlfByOMc/Jmi8Q1ESiZ5lAVpEDB9Ap0j0LKwCbRhGPBId8wMo/2u62SGnhL4l/Xs8o3fMp8WGS+pwnKbfjf55LLNs3LDrblK5S8MeH/tZbTSCqV9SVZz1BYL6hd8CvUc+iUgpWLFVwSd0jfLuZwmOND1KlP+7BJSDfe1/CtJPxjpsokUS3hzeN+LFLcRINi0TX5xGx2YXHZZoHLK0qIS+xEzxRCx6IUaxnVJWh62CC+02KjiznEjChM2u8XLwZcDvcnTZLDhaYg++VuvOve3hIResdr5fcdhuZJwOdigOtxyy2mj4ajXXD2lkyVL9iN2ANckU4a9FJ0/obpzsCUtkVMUa/bv/HjC0rJF4ePKG72ZQV5tCcT+ptFOn8Ym8uaAAa8BZHXRnn50amFgLcskTZxZwyLFBRFYAoUFwoalpBVbrQmlYq7k4A3Hdko4hKLSHxLEuJTtfcIu4Sr+h3+LQ1RzRPiZUQrrvUcHIzpNDQzsjBsXEuzxbVgDxvExbMQ5IYiTL8WBwUNxdObgOL3Fefb390wo3EoXOFjDmZmbPrtrSR76+ZkD/h92StS2T9C9RmnGraqd0qIfq8+i12r9DGO1uGB0sXb/ApOtqDNdEihQCtJQlvl5hFV4xonvJ+d6WP0Tu+5DEj/idqHgG0Npdalw9I4QJugaZun6N7ND4nKNpS4zQMRFR/kkGPb31b2VSXUl+WrV5a0171BJdGufE6JG7y6iaP3JxNBZLK/04WaqdBxRzR3jcOLDPJMup7HxB9kZv+IdHAooF3TAP4+f4HZfVO8Id7vFyYf+WpWnImtnZyVzUiF5eBy7U35fiONo8eufWoMK0E/TaFfqq2QAaooDa4F73dWKwjnMfyruFqZBJed9lVe8YvRiCTV2jYbPWSLzLNntjf67bKwJ/9F9iKF2tc0bJgyFmMVlSU3jSD145OEjw61CaWxPHqHo74Ap7hh1N9O/gkg7yddkYc1OG4BqoQE1WVfbfakVDK/Zsx2MFec4uJOktX6WdDBo//zEmtIo4Pv5xH1GMuX60XJfjbnjbf6VQr+coWeHUf1YAoKFz9VI0q9100nQW9xvikazTUYwf+iE2KFhDMP2ztammsORwQX/kidjaW1xbmOJ7/1bEhjWFi4Hvu7Z88ZBbbs/6yqevpK58UqU+sqVyU3XPYGD7C6SqF3ys7rmQAhAi0W+0HK5oQjO1RSPGQAAAAaUBnshqSf8flHwmoLb/VPxZlDV4qUg5QpsOVQwxNn19eJZY0oflYjq2ixUu4rshZxtM15YKJrKX/a5nbhVvowngKnRhBJ6hbhfzCst979Y/waox4x43BQG/WLuclcwZjcuM1wAq9ycoCdeVABxL8drq2Mn7G8QBmGFvT5VvyRyhK8VzxTQ8VvsJznzrxv94rSOcKoK8MGaqcTdmG96QJYJ4kt/Mwxe+NyjPsAK0KjcDhA+nX5aLLpdnF8c4zkQ2a3Xp8xtPDEpZKUwzNmFafH9zqvNHXy2s8Y8AhyWlEcvWbEBvCCeg20Kq3K23hBujf4klRDigF34pIG7YVVdpmNzI6LZVwzvNPS0THS8M6gliiuQE8a7jJAAI5AqKpT2Uq0pbfP/VMGhUakHiooZmJxL1JHzPmidU4SRWrwyvnrixho5WC9a09s9lY47jJPBeenXExwVgurcjN9lf/FCgsbiXudocJuv9M8TRtkizkkzRMiMoNk4+2jBD2BGLsnqAlJmhWUPyuyIULb13Ernkhjnhb8JvXsVHlUBUVmC6KrOsdtQS34uoAAAANEGazEnhClJlMD/qAl/0pvdoQYbUAA8ZFeMGJnrPyNF2PytkwR1a0xILCORXvgT4RKDb/+EAAAASQZ7qRTRNf3Z9r1j8O8ACT4NIAAABrQGfC2pJ/x9VsBnLzW1K5m+uqGnd+y7BXx94CklEg6wY4PDWh9H+eUARXB5YdchMFpBxOmqzP150XkUclKIopn0qfnUdVt5cKoGVYtPUhv94Nhyd5KrobCo2klOuID60PGBYej7cN3Bqjh8wR1YdSrJIXEOHTm0aM7qWI60WBI5ujv1ng6tTZD/LDk7aSz9FC6vfQiVc+OwhZzL4/Kh30sGqBzHUwOXIchaQjEbyGqrvHB/lGGqIjAkFapfWtyYWVDy5unGAUtgtsdME7uR2EYLoRDxuH7525noF0vjNWID+6iWSe6kNVZ757g8rh/5BQOqrdDbcshXzPiSlQuKAXoiL01cVc3IvLMdeBk06TOr3BlVltQ7u7A86M2QqQsaTFnUrXBlK2NxfH+tw4rEHxp7fzP8WOO3SNAvYVItht39wNdRkMZDuLVdaK1STS33GKOmGm5H1v+OOmUvKl/mLs3/QZ9B0TNe6Sv4B3YiG8J1mxO2Bxr8NxO0KSZSwoEjVFYJIrFfK8Aw/HKQBPMQbsWvRLcUqebnSeBfXKNZdcxuJ9YQs2x6UMvo9TJyWNQAABo9Bmw5JqEFomUwU/+c/YlyfEUnPs74D69xQAimL0Su/DCG4YuU3+FBm+2+hYhw5IzDQWzOVJeFqUTugIA9u6KgxJowXeRVcYZ/wnmNPSWv2n5z12CnvbHMmJhoQTU+3L5b7fOwUn9cFy7ZPYkzHphSM4ah9v3/kmjipnMNj/GrRRXcVZVciUtWAUjtTgvof0V37Wws9L265GRFc4jqWD3nlwOYexKSH6r5co3aX3bRHPgTVFyabsoIKDmzWGt7cfsbqxvXSFW33ksWfGFBO/U3FUWqe5j9HZv9ukUisH41CNNizFNeUFAc+9WZP+86YkkuKo1DUvw6H4ZF3c1kUZ5bqyBY+WzeMvYHiWNmjBhqGYYFJvqO+ihfdfw8clI4VXxX2jr4jRIoTtUnXZmnJIIuBtnGSuKwfjD3oz4OjfNo4FUv4W/zFqph9m1za99KJcFvCovShOlrYaqIbItE2gneQMbhg+/x31KatKSs13d06zZJG9ewVAdoNQ9EizKMbStoXj/ZR+NtHKRnQsCfKBtu0VWfXGS38fnH5ucx0RMMIz/GPbfZic2bUZP75HI3ie6QtCm6DtP/zTQ2i9Qsked6txfnukvauenTlbl5LZXibLwE2vQo/JJT6vmZhtjcwGfwyhbHvoIBlvgkusTbtU1S+mnTNHjFM+75gvdGckMEKroUWn4bc4/bXH3YvRxpWl1nrtiFt6WDZatX3j1PdM+JJNW1/q+7RHDQDyTBnfdZL4EPSGVHC8SjSqHBe6kytzU4UrpE/aUa0LjE3IxjDVK34HjDuEF1cf0EW02vpF4oTviKfLUbg7EK1NMaHF6Fx7iyobkd2W3pMnWNsEG20TDjaM5NdEaNB4MHQz3hyD8zhOnsunaAziNEavjz8aI24AJvWoDlTo7qwa2fxvddf/cCOSwa9eMG/gwGwgdPlLmJsvcxjP45qvNgMqzIL02LlyVsys1EIhjDl3kvCaiXLKYPAlj7+cbjE2ySH4ON3McspwVREc0FwVgo/0OSheM7Fbg6GBmzuwxrpfJ87qRtkZ2uWzsP5mlg1u++TM5ua3ovp2RFBzi08gBxxnfxDpbsdYn9YNkwWA+1TfwYyBh/nxUuWlO9JCkZ8KIjQm3RBo/atYo1UQy/7jIv4Fl9LYNHhVoyCQ10I+qMfBeqgyPSmsfpoD5w3541jeW0oFs4OOTn1Jl0pgJssBu5yrLqXPwjLeWOQEvO7YFFbwDpDzteDz9EETsvRtQiXiMkEHm46YCZXxX2of3gRXup6Cs8T9Bxo4vkr9lAiLO2AipKFC+vOl9yUXmHehZRLWGSLurJZhmKS8mmVkc8ha322GAodvc5rgHZXEI9PB9JGgIJ9n+81vJhIRKPkad7Px3REjbWgOQtrITZBQqfxLFPKxrI0d+W7+ZOI6/LeXUeJaXHt/QetmMDY1tbLXQ7G58pAz9Ml6fTrUjEjZFNHkiAG9ZsHmbuoBGQQbSewxR6MhU8VXVa/pHPr0nTA8H5WI+MLMWqnk+QvnvBJiWQ9fKLfZfE9no/60vkRfUMFAPVXjgxWkVBcY6Gg83egTPpUP8kHPRbSne+UcykJM7WYqBAFduQ0/55BhDDIWqO8FX9IlHbWXZWNJw3SbZvnUizOsNmn77l7KrBa8MyJ0GJA8dI0ZbO7eqQu92khqIjqRoYUo5sYFJnzBdyihKAOSGSkr+nKN/RtQz9QKZoA0tWClBCNsmvAf0G3U52CDm9m4rk/5qPezpMzpQGe+6zOH38cyTeNqYTTU4arxG9uUm3jf0ID9Xeozxfr9lT73xMI6VNmO6ZXlYzMgqdT+XWngacScGHKaf/mHPJpI7uGhXeMNb9dZJ22FYlQnCf3ufPSL3r36cVwKsqS/CEc8E9Se8GR6A+N1nU6+httggTOCTjcr1o0O6k9ccizQJ0KG9tercpQPslnyjmQtboXm6PchP0+c3A8GJbk7myBbkSL8NKryP8ssax7pa9mWMo83nw+ZJhz+ppsUsH7cqQ7B2u/N8/faAZ6Y86g3cS7tkAYdhwY4X1nM2gjBrnOzgK0xM4Le/0DRrivJtVXXFR98KmL4+wzUfd7DcborGqsiR/xq2luP/Gj/ipF2R2lSHNCW1301l/+EHUgPAH9N8VzLjL9hIQdxPmPJ59c04USDWz7QHTim05tKp2UlUkWDN7UUIwRHqzuHoYX+DH1wKdR4okDwEIEG63W5NX5dqldp4tZN5eaAXEACKuLbe4NsQAAAZ0Bny1qSf8if6VBCcIr5DNh1/g5k9INEKTZZDifs7RfOKvTbkhdZME2CLlMZslDVKQ4k/VWUFbTk/qCik9CO2JsPpkqMv4m22Sb+b0GhJ4tB1qf6MeNsa3YWIXQSm63CgMSN1+NGxYOsXHq5yj2Vfcq8RY4qsOHoKkgm20F4duqMCQBblooj+90fjLzg1FB4tx9bLTNDBZDFDvyz1yUKhf1IbKAH2dRNCjzWnopVbbtXKatXDS7z8dY43t1FV+gqH9BGTNFIUsnXQwHRBuUo2hUV/Emz6r3Wa30ttdZ8poBGQGv9Mazao9Jde0ATzOf2Gp83wgWEkG46Y37Bu2cdgYNJ9ep9BTBGyGyLUzRtUphtuhexpb/ePM/EWd+t9fs1u0A5CQO8IceXj1NqhfyaIp/Dq+Yguxc/5EBIV0QuM0fjmKvgGhW/0y7xU5fp4X4XZduQGyxVfNzVc81afROmUHQcj4qQrZ2wwHd1LEo9Rf46yOAmr351v4XfogKdUSUXxXVlBCZnPvgkpxKP5wB5X0Qxc11SB7b0vAh7PPD8QAABUJBmy9J4QpSZTA/5evEFRnWh+AbuYXVgnOM2aT5vgpOXp6suQwFHKW7fBjhsFk2jKhaxdRL+/8wSnVqqyS6uLWPPcnl8N5qlX5mKieNn1dzX/DVv4Pc/TdXEHpuH5S6lPyhTo2JUZ45xdOPLely2j8h+PTC4QVxfwi8foRBtxhQYxTwYzyKCkOynyJjr3FLHXg+aajHswJXwmnQz4f/yiXWq/5knnpr3QDXMSJfDJewL1W81pd6cffZr21pZHJav3d+6zqGyAA/LQtoCDMxGshoM+sUD/kPMiio/ZQUsclhYYnTJaD0XyfjXl7MIADhMdthyLboYixFt+Nt2TL1xH7ypCVqvqir8zL80RpmN5XLmbTO25zGyxuFcgtdzOxVdahEXjhMKruMK9H+Fe1vj1VgqH6NRe7vGpi+9OycP3MWGMakjC9cp/L86BYGvxCkUvh5j22QLNlTipDfXH0ijP/qr1JpqbgEoabedUXqJsDQTUL3u/i2rPJerHXx82VbAfSJmD6uYHiADLxmcJ8BLDe7agTDBpmJadVqUmbo0Y8viYW0riPNCS5c1d47gt9QLZS1SC4HzJIMA59zleuH8jxdR1OOh+GM/AH4p/+7jC9rnS5HS1fV+ns4um5+QfoSBYPcc0yXPGUmBeDG6RQy77s083VcoKfdyGw/CF2EMKOFF1f3qHCrzFPG7TB+xTSzeJoxGjQ761TVPmU87Ic6GpSIyJTeO3zoSBje6cFG9PT6BXu+qmMQ/auzcExyz2NkrqaHoivHp4r8bPJSBOnqpTPKL5uHyuIasEkhUmN72HUL2wSz95ZXdC+nRwTbuIVWpJ55HAPsiAZsbhPfPu16k3TwZmiN/r2qZ4AUidnpeZ+w5tmIsw8ZmU1DEY6vX8M6Fg8VTZlS+fba+sPl3BJquoF9y870O2zLve3FGZ5pG8szZHUexLJKe8/7Ngi2a1gjtBDijJYnSPy49e2qZb3DLMPLPJno0YMmv61XcQkkYH0XLinfDgaAzromA8xU+9OTCr4aXZGVm3N9WXU8uynT1gL7zYBS+dSBCksNKHb9ZlY0lAQx2RbBGOgMslgR3epnuC8ZvqiQBeU6W9JPzBB78j+0YqS+ZTXzzJq+hcNHMTGM9d48zyhU4wYgZ4c5JweHUM3nj1RJyrxgIKEpIz90cIkkBm+m/8ql537MUFzJGqboGaZYwZQ07X1mHNv4hlknHc8bR8T50gu/Q50sUqZusfuhc6PLuJcDyO3KujSrHX2xnD2xY+BM2FJgyJsfrVTd2t4Oyy0FwJcgioQ+F0yQtkKgHUlY6JCqsuAZNNhSGotSPqoIS5Ur5baxAIda4iSPyIMzUGEpKDWkba/idzhDwTZhjJev8rDGJKeKd2jyVfkUwLa9g1QJhCXon8BYr05DbbDDmui/EcuzOjPQp9DNw/RhNn4yE5zPUI/LjTkPj3g3ZtBiA20yrDCR1mIdykAqniFQYan+E3Jmnw/SYoSbEWxB9lPInrurTzHlzihOjlW2uj+8KjNn186GJIfb1rT/TWkYI6KBXuky6WQFsmZT2TdO7mdcBfu9Hf/cHsGhCPV3nKFkoancjXNR5nZVQ8AaXdWds2FguyH2yqhi/+9wL4Ch5q9lTAmIB3dFr7IE9pmZoPqFaG8YnduwbiGv1gCDC4kejzHpyqOgA6gVaJOYPR1gG4OoUvqfC3vn3Pf9kWn3S0LQbi+gcQNijEAtGXm/7g5gI6kMDTHbLlWLZqQmpPmFa5Seu3KDPOx8C62cvgxA8eehIPYMmC+uu8uQlILhgTCGYQAABYhBm1BJ4Q6JlMD/6Z72bizRW0e447gxK23aJFQ8C65rpqBgIrczWlqxDAF+voSdZT1G8iHqpbww0vVFsMScWGLGDqaGs+XGiHvih9NHJ3LqdFxP6+xJeaPjuYbz0PDc1HjSF/m+fmTekvyBYpVeK1nIUcLsAMlv/XBxwU5VXSFcwT06I7ZOdQ7Nr2xiwBiMkVvFMi4MG7NQ/4B3dvjDUlo8TRemuPU4UxVD0GFl0n/yQ2dpFWGQBiMv6FUkgkS9ELlyYsrypggBS5vcqf+1uV90G2CiiFqxxZgmAVyK3ywYLaQOjxLn75kRUy8yhskdl6TpzqsLUs7gK8xRGLT5KCxwnc+h/u05jIOCC2o5WLeE1VNmFya/ciUldPdGOSvQb4AK+YttdEKvVSHg4CkCDI0IXZz//SV0Rf/YuQYaHKMDUODq9Cv860iaDlMTqUjmgkXLREY3ruFLjcdjmDBu+9B+Orb8Lh+6bmcmUNbUQS65N8tE0QHwosyVlJW8hcWbMoJH9zbWq4vsJrkYHq4P3kh1NxcX4yL3iuvjkPSfF0WYkvPzMt6loLZW2KmdZ/veGP0ltlGHSbRiBRndIOwOjyBnCe0p+bv6XLAgpdcwXR6iw/MfEid/7uc4k2z9FKunzzj/v4zLpyFegV1yF5Ejdmgcgv5DVmwD9tcKeAC9lMLskW10GEXf7Pjsr1p9Zbn4IfGlFaAOw8hni+zezI805eeA4zCxNIHMmhoSVAgzrPcbp96kY/4TrM3x4/tZFaC5buTwFpCq4nQGb5cfVelNgGUckQ7iLoZb6+IeJNm7ACqlbqe4Ikhd9KglYSBCGijdtYeHX96DIvJM9qivA0IkTZOVILzZ9ZeXHmr4XFFngVK4nRqmHJZJrp62GvFNR094PP1w21VWsusnxugjP+TsOt5XKXYQtrx7Pb0g3TuYGSfyDw6bThxAlw13vry96vCaD4ji5lKrTIQOHzyxc+qSZazf5EYSwcUqXIQUb0p4HFalQgDABBn0BvHVbfJyeYGx0krV3iTxbMSsJNQBLQ8oiSnkJ2DbD3OXmE6eymsLYQKqLmZB48bIclPqk3koVw6dwjOr5LJLhNuhYJFnrREZ4+RLH+CYcvvcAQEOHVkm7bVLkj/AHcgxLyYoyXK8lx6qb+x5VaKM/ocvigPMvvkeMIDfjS0KwfcJDgabOcZdGK6KVM/+BcRNQEZRa6e2jsT4aiCtVlYd7P26o8lZCzEoycGn1P3qM33Qzjet4mh13656TZe3w4JYW6v7BMM/3xovTy5AhVIJ0aiQYbdIbj9tWERqgt85W6sjYwrE7Ryv7iwejd8ngngeQ0EmcJjoCWz3gxN/CLu5QEMF1y+u6nfRIML/dDW7kHYFwpGOPhq16Rj7wilx9kdQl5VA7ihMU6iGeqiJ1mCTiLJ2Ehol2ZhXM3wqUPQMEAttOOQFzBh2hDddPPKw9CFvP9guV0IXourcGskAKBTgGvsPOb+tFnOcehZ4gpRJGyj1kMdaS2sNObezW46o2+3/Fr/B99f7Vf9d6pJOr3AlJ6Lkhx/bIHzTghjMwYUgVNzgCyggm/+NnHUJLpZr/A2ZuObueQyg9LLHp4M4tiYPL5XvLZTaILot2uq3z0wUqPPFaAZxQSCMA7pfwrzl7NWdBmN3UvE9xi408t+ehExX2nQsEOVLzAZAKPxYxN1ds4Pcw+LiLpkeQK2smyAv2AJ2797sS2vrfBI/KX22qWVF4KCeHW4bAc9+iz2X/qNT2zFJWYqQWm/1rqdo80xQMIdaX3kUbBu7Y1IQ36vJuZMrbqP0OELjKvnIEXvHH+vsA3Ai5eixxvewo3GDbX9Ddrsvqj91MJGEgStLI8g+g/3IXnbeXTJZR56g6xDKX/bMqMV0c4AAAAWKQZtxSeEPJlMD/+c+d97sHSbAiyncKIbx2t3ToMCa8o1I60HR1bIymuHHSQQICBDYKtxi+tTzYRFR77P3N9Un/AE4fSpQqfknrfy85ereGywQNnD97eTh1Xb14dwwEnXWqqmBWAhW5Df1PBaD+dfLsQwykU7++HJW82Mfu9InJWxNZVHGKaplLr9YmX23z4WaK6NkbSZL1DpVrUJK1udM0BNglyfECoatf4Xb+xqN+jLSysRr8SBGqr8ejPJWZMn33krJxI+vzqQoOe3om6RILydWgohQWiY868AjZgfBBHJSVF91qZrG+JpdYEPruXno6VFId7TgUEuOWyxMSnRsyW+C7RYRkzP41TBJ68yJe9PYTNipptoqtf4wRY3Y5tHFNVcPcx960zy6smSL60g6ygtnyiyZMoz9ccIXbAWn7/kKtqPxOFNtw+6UK4ruRTBZQxe92vl15h8E2GFcJSP2lc6pSD+yMTusZ57P4Np1zNO3myJkyFXR2JKOKoIdPGlMkOSEWi5PuDKJPgyi+xHbVSLiA+PA3xkricddVL1KM2Jtol9qKTMAZc4HGNGC5SCj0EoVYlXsizD+RVuBBrKA7r0YYnG5p3PBOl+WmhhsXvmcMOn+iEEbeDjiILqqHXrOFmus2l9+QfdnH+ELM4jyuwWFEDa/eqbuOcLN6PDFl8czL+HIvOgtk4Ko3HZb3Bb9Qb0/uV1V1HMlQHZamQuQ3XpcYDheITTOnnRizHtBXI9/Iovok1L1UvFgE7KIYaL5vhsdZtMeaUwwMRIBT+QEmlolts7zsCKazC/IapRCvb8RkEC2wJVMdmofUHRNXnuygORrebK20C+7avCPYiNAbZAA0Y/BSyfrMp60D7N5NFtc6AFseZ5lkf6cAilT7FKNQmO2c6yds0LQ/bGJLidK2fzNDUP8yxj73cmk6IKSntkOb5NK0TrxoAzxNhItYC/8YFWukVOV8Jstju76A4e5jZSTTWjn59nkbmgIjOBWw1KILNiuIMbU4pU9ahKlPwRjq7ml6oH/cukwJyp3uFZRYhEQ8v6GQMcoFciLtW20zW8JBp9+G4RxHc2G8noWpkvb5AoL+atiTkkAYKn7uHc6Yc4sMX2ibvCY67GGy1jS8itjB0MgLk7AlZcgpqgPZWPvQ5StCNvazoU/aqje52rtK0OUE5UCXcVRO+G+R39fR//b0TR5fnaXnPraA7BfY6uyAVOQNVY9bP0pcLwerEKtsBXumt8BeI1+2hwqW7d3NJUJC6jZsiN3iG2hIWqbvbYA8zhhQo9pTpkRcRVjlsIE5fZZTRUp690vD7fcXaTeWsCHhp57vTofxbqHFs32zEwpxAfmnhLlOFkV1o980LC+dbl9W1CjGnE7F8kHsZjtPVP/siHvBOEi3eZ3FthxSieLIKrLcYh7RolxqYptk39n6ah+apmmkUEeQ50jCZCuTm/+o8/vcqHzezeaQum/zVS81xaqLBnWiSlJadZzhwNktouDBxchaj+KWcXEDuEUsUx4RK/9SHtedPcMgCHU6P8LiN6Ul6jgur4citA+tIpEfZ6jHpPYTD/YS827JNJuunP9EJoJWVlYyZxtEx7JDiN3Buz2ShQXUUS5n0t5/JzCKO5X7swBAw4E1I4JFeBpIjQTj/G4nko/ajZlBwWIL5bTWwCn+cloGfyDgr1NlCCn4px03EVHJViBldOXUfI89elZcx/PG7ReFJHg7c62PYuyODBhSdqikYy8r4qyqnuJyitNtUEtEIcvsfPC+cYtKUvcZe54ora3g8PH1YCq2cm1URstuPm4LPXrm5oa8zjUb0R2DVBlNHM4Z/YAK+HkaEPBob2zBaezDsDrwvIHOzwWPzf7VXR09cahw0rOLnb16a3QzUDDU1SIMJgAAAWhQZuSSeEPJlMD/+me/B/EWi5AzXnJnDvA5rJUlKAVA5exnJ1Pl/tHhnsT7FoeRg0UOkV2z08B/t3Ny3HPaNaC5FMkBD+fLQ1ekB2k/8+xZOJYQLIAIt5mRipGJNjd8cHKsV8t3WTAb9VqhK2amHL60zJqLd+JXDqN4KPyVrtfSN0idFk56c/iBMfzUS79MoW97pny4oIDuOEOpk49vFxN8rhUc3TZUGAvp0xYq8/G9ud4R6tE16Dz8gfQi3tO8FM4H5lXGA6CAYnb3L6jJpjEUYTdv+j0RKdvnUPmriBFn4b4KoG8V0iBoqZzyNnBn59vcrefqUbRI/YgWlnf3mJuLyD29zA1MRrILOHPUk+qr0YCY5TDl7JsQMC4H5BA3nOhQufLQrCZH3aojeekMsIF+LyOjj5lrfShgbNMhC3heUWq9dkEKYCY+e34fSJyQk/qbJWN7omrMhYNBx6D3RdFHNtp8/57uPFtLyvsLG766GQd0OzxBSpnXaniKZvc5CANRjR7O+riDfLJk5JZ3E7RHtY1aaSP5UsgEvNDY/hQrOCThK4JeGQfFawDSxGxH4Zt/Vwguzo+cA3UTc6ib+9MRPWzDZ2hvvdvO5F0jAab6gAGMAcFjbeZEFd0CuYkJZv/3gUUDQikF3T9sKqwDwaaZxbowPs2+O+HBC8jwwTs5X3ff8W795KfXfAt2/hnGmrcfBoN8agcFGOjFelul3Axbziq3C2isrX1cT0slrWgbE2V73kt41sty19ohc7DvOlMdwZWijsFyYhUcLKm3veJXdMTwjY9j2Faz4Ce2kvkUcv+60tRIjwIrKKXE4bQ01AINXzwy0fEgE2lHxrkcuEKGhfMv4vuA29o8aUN2Eg40+DoEmKQv1/g0zLByRBPNBvqP5xdKWmJKD8JPEjj3XxX2Ew8d/C2B9DmpnDGZsDderL0/0qemgkwnOCXvW8WoPzjaHgzwe6GmhQFgCoW0hBHUikktS+551usE6c3aCcVDGYkZ/RB8VkNyM/kfb1Ag+Ug24sXXwn7Db3W1DwCXjlVljL7RL9M+3wKmmG93Gav0Wm7f+A/CFgg2VeH1NyUF/I+Wzfq7Hm0d2pNOtmxVUj6X5difbcurR0DqJ3jUXVHg+UM+X3nwPQc6pc/yZfB4oqLcYFY7NChjm5K9zslGFzl0OV/7Ni7h8VWvtB2JsUocFKvqm1lsYnBMdy+u06ClsS+pQ6B46LjEpv7x4JpJtPJ/nL7HMVMz2r4jWY2XRLZOG8nkkqzVwjQLeD83COOunDt4/25bNzfagTWFQ/iF+HtYvrSyFXYnZWsZuJvKqIX57+KYn3Q2mpKdBuCNIZ9vAuB5pRYPChmYdInisEis7tOTMfggpVgveu5pj9WZNvIKav280Y1GQy7GqR2B9JYpmCY0GALwA67zoFhYQfeqb/Ei69DKTo5oVNqKr71odMS9yXnERULfjdlJ0CMjJUUpWt5pf1swS+DuXH45/7etenbNLJfRv1VVQqCU+Bi503egQQW/Fj+1lbPqmVER48ZPiFOhxZY7MI7qxjED1beQtt2f8ySPjOz/03jmN+Rc+vT7JMYvjOVQJ7Z0PzBEp6uoPp5k/1w8CcBX4D1x2YDOYBJjKW8A+aeaRGEVc09fMCmdQmnbrmr74XBYhv+OupumYNWi3NJrARhdJIvR3K3pmH+xxDC5hsXqCLuq3KSRZGUkRPkCPNjkmMCSERHRswvezRC0IdPJ8Xu6HDbmiccZ/4kTeK4jUHPznNKPX0yXJ0G3MIVj1bBLK3qMThRH/xdN/dbT/ngaeFmFONMcY9vc47oLacjQp/MMcFyQ0vz8oz5xsWzxKTKySoHoFOpwnYB9ciEZDFxHHA+Ht0V+KyAFc9DmfbAsNJdbvMSm6snDMijIWfSotJ9y7OyuBEJY813uesHzQAABPJBm7NJ4Q8mUwP/6Z7xzILoBmomBg/e/xHaoY1VdvKUshJZ9x2FfXwFF20ii0VaM0NdREdOI6VT2qtzT1HDUDopnNTTTL/1k8sVvlsEogjiH3+G/dWApQbcZJMgz6TxdSTbK1SFTYv3aJ89IWrprBP4w7sQJnuz3Oqk9YnA55K33PyvIorKgqaBiD2bRrxO4pa9tBxaYjV8QXqWGaZ5WWZ66rkboAzfdNxOVQQQ8Mv7hEtDm2r1ylWNfItLhDyQq3/tHigwgUWnDYrWDeTAMj4QG4USzB6Aaft5WO1ndMlIj+X0UxK5GpgWn0K36CFZx795t03TsQghoMkKtS0Zoyi6awZGZJ+ONo8hrJu1m3ScruLoN5Fo+vinWFVH1gP/7VEygYh2qQvrgrg6/D3DV/kaBLepp0AK+ZYloAx6wGrFb/hWnbZvV74y20apMmohEx25WRpcmy1zuRqJA+mMA932g51Po02fxpaPKAekQhcJWcmHzMaq8U03ePRumy8z6wUNZ9CxqmLq1Szd36x98G6w2jWpMdLbjN4WvDzoLa3MX5kO8fxYD7rlDoOfSX7mNZeIUxvkSjoi8zr/I4I1lkTwqjxqCf2I1QcWL7GG9mlvGHogifBGyfwoa/poTK5AqeeEBBr9FkhfIyIoe1yuVZaQ2Z6P2IZDBANhn8yDDLshqXK60EUTm/8OTx4g027P1pyV4QSh0Ecr4pag7u6MRezIJ8Akf9/iPWHlDYUPaR2KSMcQcF83scLT1bKWWAZfYRGEFFC8w7sSbhgDRt204bWsXMU9Fl8Jr48D+LyzZHzzunkBovFTMmKQ25cicvHvSTTXTvE0s6M3O0b1VfkO0gkLw4FiOMDuK55qIvUs0BwSRATfYvtKgLj1LfNG+drn3kb1liC1E1wNC6ORiSB4slHloFQ072NbMrAxrmlj6+buxVnWt8pI0OLSTwCWMBRdqwObKx360zPf8MX0dPej8QkePhHkrp4hPRcgjppeSRwWZik0czyjkvW3YphDlNIauKydXeqgng8ibNAXUXa73FKoTR4WjRBgeuYBcbrE4mrcbDbV2RiTY6G2MGzma8NlQSuPlItwaZbiecXeOyj1fcuZq7fTVU876PJllthmH2TmMucKsa6/R39UJDmSR5qvHrj6nV5jsxxc63ag4G5qBvjoiKQNWXCSt1MCuXa/eEeZnDSv6HLil8fSK708FuflKQ5D9ws6HpeMkkSXW6kuWAzU4082HaKkzDwZVFUVVH/If8GkpPOHVKJ2EX3Us5W2ZEW+5EMS7kp42Db0ykX4jmEUomKqwU7RkJUy3oPtu9bJG3vXMXt07q7eiN9a3jm6pEZSkag0EU6s6Ukc/7ufw1HQ6f2OgOXO8GFplgCReVxWQJKyXD4jsjTxhDJgxTtgr1fRDNw3KZF4RucZjBQwn+1XDgZNOvolZ+hJTrbkBbnFgtSdMlgaiM8YQ824gn6G8nyqlT6D2hXYbkpZuzV8QSrwU2VPFO8tkUxkz1ymzJLGzMmA7ZcXFaeDuJ5NVf8rE2BbPzyJPjZahc8s8rskFCK5ltgg01q6Cnmp8VO/NUGgsKOABzlcaqQKlJZCxCp0vxFDpyuOTN2HDOuXDy9EgCdI1GvF1LlE0aM7He7IxOR8VUCCb0bQXcEo/0zSy6lWBcTh35YuCW5TaaIhbtv9Etk+/pwAAAPLbW9vdgAAAGxtdmhkAAAAAAAAAAAAAAAAAAAD6AAAD6AAAQAAAQAAAAAAAAAAAAAAAAEAAAAAAAAAAAAAAAAAAAABAAAAAAAAAAAAAAAAAABAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAgAAAvx0cmFrAAAAXHRraGQAAAADAAAAAAAAAAAAAAABAAAAAAAAD6AAAAAAAAAAAAAAAAAAAAAAAAEAAAAAAAAAAAAAAAAAAAABAAAAAAAAAAAAAAAAAABAAAAAAKAAAABaAAAAAAAkZWR0cwAAABxlbHN0AAAAAAAAAAEAAA+gAAAQAAABAAAAAAJ0bWRpYQAAACBtZGhkAAAAAAAAAAAAAAAAAAAoAAAAoABVxAAAAAAALWhkbHIAAAAAAAAAAHZpZGUAAAAAAAAAAAAAAABWaWRlb0hhbmRsZXIAAAACH21pbmYAAAAUdm1oZAAAAAEAAAAAAAAAAAAAACRkaW5mAAAAHGRyZWYAAAAAAAAAAQAAAAx1cmwgAAAAAQAAAd9zdGJsAAAAl3N0c2QAAAAAAAAAAQAAAIdhdmMxAAAAAAAAAAEAAAAAAAAAAAAAAAAAAAAAAKAAWgBIAAAASAAAAAAAAAABAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAGP//AAAAMWF2Y0MBZAAK/+EAGGdkAAqs2UKN+SEAAAMAAQAAAwAKDxIllgEABmjr4bLIsAAAABhzdHRzAAAAAAAAAAEAAAAUAAAIAAAAABRzdHNzAAAAAAAAAAEAAAABAAAAgGN0dHMAAAAAAAAADgAAAAEAABAAAAAAAQAAKAAAAAABAAAQAAAAAAEAAAAAAAAAAQAACAAAAAABAAAgAAAAAAIAAAgAAAAAAQAAGAAAAAABAAAIAAAAAAEAACAAAAAAAgAACAAAAAABAAAYAAAAAAEAAAgAAAAABQAAEAAAAAAcc3RzYwAAAAAAAAABAAAAAQAAABQAAAABAAAAZHN0c3oAAAAAAAAAAAAAABQAABfqAAAI/gAAA6cAAAGyAAABtwAACFIAAALZAAAB0AAAB0oA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type=\"video/mp4\"/\u003e\n",
              "      This browser does not support the video tag.\n",
              "      \u003c/video\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e\u003c/td\u003e\u003ctd\u003e\u003cdiv style=\"display:flex; align-items:left;\"\u003e\n",
              "      \u003cdiv style=\"display:flex; flex-direction:column; align-items:center;\"\u003e\n",
              "      \u003cdiv\u003eroll\u003c/div\u003e\u003cdiv\u003e\u003cvideo controls width=\"90\" height=\"90\" style=\"object-fit:cover;\" loop autoplay\u003e\n",
              "      \u003csource 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type=\"video/mp4\"/\u003e\n",
              "      This browser does not support the video tag.\n",
              "      \u003c/video\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e\u003c/td\u003e\u003ctd\u003e\u003cdiv style=\"display:flex; align-items:left;\"\u003e\n",
              "      \u003cdiv style=\"display:flex; flex-direction:column; align-items:center;\"\u003e\n",
              "      \u003cdiv\u003efade\u003c/div\u003e\u003cdiv\u003e\u003cvideo controls width=\"90\" height=\"90\" style=\"object-fit:cover;\" loop autoplay\u003e\n",
              "      \u003csource src=\"data:video/mp4;base64,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\" type=\"video/mp4\"/\u003e\n",
              "      This browser does not support the video tag.\n",
              "      \u003c/video\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e\u003c/td\u003e\u003c/tr\u003e\u003c/table\u003e"
            ],
            "text/plain": [
              "\u003cIPython.core.display.HTML at 0x7fde0179bd68\u003e"
            ]
          },
          "metadata": {
            "tags": []
          },
          "output_type": "display_data"
        }
      ],
      "source": [
        "# Show multiple videos side-by-side.\n",
        "s = 90\n",
        "videos = {\n",
        "    'mirror loop': np.concatenate([video2, video2[::-1]], axis=0),\n",
        "    'roll': (np.roll(media.color_ramp((s, s)), i, axis=0) for i in range(s)),\n",
        "    'fade': (np.full((s, s), f) for f in np.linspace(0.0, 1.0, 50)),\n",
        "}\n",
        "media.show_videos(videos, fps=5)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "wPjyUnV7sEzs"
      },
      "outputs": [],
      "source": [
        "# Write a video to a file:\n",
        "media.write_video('/tmp/video1.mp4', video1, fps=10, qp=10)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "XLjksyDaf7iP"
      },
      "source": [
        "### Conway's Game of Life\n",
        "\n",
        "Cellular automaton implemented on a periodic domain.\n",
        "See [Wikipedia](https://en.wikipedia.org/wiki/Conway%27s_Game_of_Life).\n",
        "\n",
        "Show the first 16 generations starting from a random configuration:"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 35,
      "metadata": {
        "colab": {
          "height": 185
        },
        "executionInfo": {
          "elapsed": 359,
          "status": "ok",
          "timestamp": 1617380991372,
          "user": {
            "displayName": "",
            "photoUrl": "",
            "userId": ""
          },
          "user_tz": 420
        },
        "id": "XmHe7McrAz8e",
        "outputId": "451c25fd-09e2-4d7c-edc1-d721c1030b06"
      },
      "outputs": [
        {
          "data": {
            "text/html": [
              "\u003ctable class=\"show_videos\" style=\"border-spacing:0;\"\u003e\u003ctr\u003e\u003ctd\u003e\u003cimg width=\"240\" height=\"160\" style=\"border:1px solid black; image-rendering:pixelated; object-fit:cover;\" 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NUTY8OFChAcjRsSY0aBFghA5Dix4USTBjQwTDlTI0qPKkRgdPkSZkCRJkylzgtTosubDjxgb0lxJNCbKmzj9/ZQoEmnJpEGhMiw4VKJDijg3DgVQleNEjkCLemWocKbUs2Ol/gyrNCRatF1fLlUZV2nHt2qjno3oFO/bvhcB+80a1OLXu4MTrxQstulhxXUPum370u/WxJNhwm088mNkxSapnuw8F6xO0E09UuWqF7XUsoNpPnbN1PXnyoRfg33MuHbvzjwTa61NO+FthKKf9sRr8/dYmWYl4wT88SdN52uJ0xXZUrLM02etM2E9rvmuZ8usrRbXfpR5UvIeH3ePvT6maaiAuTpX7Hzi5JDw1SedRnxtRxt5Q1G3X1526RZaZpiJtmBKLDkFoV8TVgVgevPV91tfSHH4ln4qiRZZXBtBFNxmOgmV30wdGhQQACH5BAUNAP4ALAAAAAA8ACgAAAj/AP35A/Dvnz+DAhMqTEjQIICDBx8qJLiQYUWJFRUitCgQY8OK/zAOzDhS5EORJFEi3HiwYEuIAw0WRGnRJMmbMWVubAig4U6dOFniHAqR5cmOI2EiJTpUJs6jSD1OdMnUYVKNNK9m/ChQaMusFzmK1fj15kqSXpma1Tgz6FWoTG2CTal2LMS5dfOGXcoXL1m9cen2rJsWcF64dA0bpjn3o9GFhes+tKr2LN7IZENCTogZpMfORKn+1Qrypt+hGDFLbKw4tFStheHubF21K0KwLG+DVrwbNV/Tp/cadmpzLeDVW0VnDDmYaHCltPs2F368J2O/zKOTrsy79FrQbfNmZLdNfevypDy1q7foUOjzgcERExbpdL3t3s6jZw1vf/HCyeb1J5ld3gkYmGjTEcjbe6MZp12Cpk30V4IMBsidcQVlqB5yTS03WYYraRYXZV2VCN1/Ckb04YmmUaVZaredB2BKAQEAIfkEBQwA/gAsAAAAADwAKAAACP8AAQDwR7CgwYEDDRZEqNBfQocNAfxz+PDfxIYHJUZUeJFgR4YeHxq0+C+hRIsYUy4kKFIlyJYcD1qEqZKlS5YiP9YUCZKjxpQCf/pDWRFjx5orkSZVORPiSKUKBzaVaXRj1IMNjypFadWjTaZeC5YMC9WrVog5ewLleJZmyrNis5atODYh17ll8148aXfi1Jpw87rkOtYhyb9XQwYWHBXl0ZNDFw91Spkx0It3xRb2GTSu5cg7b2I0aVMyUreV38pdKpimW9NgP5N9SLOt59Gyv6KWClOnwNx4cWMtrdEvauDHAfdV+hN22ORfVTutvRdqzuhRjx9G/FSv4cMt/SJ/3Q6XNOOTmfNCLspYctCW0NGSbZ167Wetzrsrj5+VqGn+UOXH11aTAWcTgBvB95uB852XXkf5MQjYQhrBhKCELJEE0WKbSRjfenStxuCAzIV0G0Jq5QYZcuylZxlmZWll11ALYndfcPVRVONt4/FEYYenZVXbfTNSVGB2ENIUEAAh+QQFDQD+ACwAAAAAPAAoAAAI/wD//fMHAIC/gwgBCPxnEOFAhBAHNvQnEOJBhgstajRYkKJFhQsfbnQo0ODDiRpFalypECLIixs7RjxociXFiQ1bprTpkeBEhhQruqRJkKdLoStVHkUacSBTozxfQh1KMCPMhk9hTsX5sehGlRy1npy6NWlWlFHJki2I1uHOnmq9klSrlGrXthYlJqw6Nq7ftTSB+kRZ1ybev3kdttTpduRMxEbDspzKtCbkyDJdFiwMMuTey1ALU3a62e9PokdR2xUdFDTNzmg5sjb82fXDynRnu+4Mt7Hd071dL617uOtg4bR1+8aqU7BNjH+tGpXO06ljuZR7F3bqHPnf4jmnv3OtDXms8snBa4MXHzR88aHvQ6d/jfX85PhpR9u/Lh+0c/xaYYfXfvIR6N13B3IF4IG0yaZXVQzudlFWqBkYoVT5RVhWYx21ZeFXAcalFIbISZRZg8Y19VhcCkKG0k8fkkVadZEF1R1/imnnFXUJPVXXPwEBACH5BAUMAP4ALAAAAAA8ACgAAAj/AP35+/dPoEGBBREeXMiQYEKGCiE2RPhQosV/AA4CSLixokEAGT9aXFgxpL+NGkUiDEnw5EiSLxdmNAkTJMqGHhnOFHgzJk+XP30K5WmSJlCLIXcebHl06NKEFQvmLLpUZkSnHx1CVAqxJFanBI0O7FnVp0mmX9O+pMkyrMGcare+xMhyINqvYuMq3QgSble/cSXalIv0Ld/AOqV67Ai4MWKNDjFCvmt2KNeBTi9Dbvq1YEaOHjnOnYg5LuCrKfOmfkzzIdmqrpM+1qjaJ+XZEgHn/exy5szTN2vjtk0Yb9mtp2FW5a13avK1aIVndig96N/SuUdffc64sHWruzGLYa0O9PZQvy3Jj2SsvvP26autqvXavivn5+fVkpWMffh8qa3xx5l/65lnH4FCQfXdT1IN19daOtnVkoD+kReVQgY+luFyJOEnlGYTjibbWwgaVZdcJ8oXk4eSeTaSaAsaFBAAIfkEBQ0A/gAsAAAAADwAKAAACP8A/Qn092+gwYMIEQIAkLChP4YCISYs+JDiQ4cRE0okiNGgRYwfAfz7x3DjwJEfFTYUWZBlx4kjGcY8iNKkxJQeC458CZPizoMlG+JE+HPiSoI6KZo0uJRnUI0XiXJcONMjz5dNnTI9GnHoS58qs2aNWvVqx6VerxY9aTbnWKBRoaKMy7Gt3bYWXS58q3Hh3aNgB94E6ZHv34x0L6YFupirVrhZSUrFO5mt4MqPM9fdLHinRIiGD5ttiTX03bWOGcscanolarurkTa++/bpZZknX4e92LrtUr9me58WLZywVcmiA4tObLtj2r2c4ToUG9wraYc6YRZXGT1jbazEI25b3E7zOeWP15cL7X4VYsrZvg9LHr8Vsfr4N+nTvG8XJ+i8/DHmlEm6BeiWc+zVBx9PyBUHnEBKhaegc59BWJ96Lbn30HcQRkgQeYyR5iGCPyGX2ILTKZaYa40FBAAh+QQFDAD+ACwAAAAAPAAoAAAI/wD9CRxIsKBBfwAGJvT379/CgwQBJHQI0eC/igcvPkTYcGNFhxIZYsy4EMBFgw9LdhTYkCTLkTApmiyY0CNMiDNvVrRJUefBhSdpfhRoM2NQny+H7jxZEuJKpCyLzuxJUCNCm1OJQvV5tCBVizW3Qi3K8KvClgrFCkXaNeJIshhNmo2rc6PcrQ3bqrVYVW9ctHvd9iXKNLDhpHcHtvSrVW1KnYDLwj3MlSVjymtD0m08kSjcy28VO50IWuLFoGHVglwa+a5UmI9Hgm6btzPV2adB38SqV7fcvLodYx4uOHDNxMODxyycMWbK2ofz7kSI8anWyYqZW5wreunemVkVSlfErnprU6eYU4tF7Zb8TeXNtR5lT/x9Y8vUqeesXzet/6jEOQQfSlXlR5l79003IGwG0jUZgm+Nl9qDAF61lmHSUTebhZ31BSFOv8nH3X/oJefVe3YJFhAAIfkEBQ0A/gAsAQAAADsAKAAACP8A/QkcSLCgQX///gkEwBDAPwAHDSYkCDFixIoHISpU6NAfRIwWESoMSXLgyIMnSxJ86BGkSooDXW5k+TJiypoFXVZ0iTPmy5EYHdLs+dMgz4IJN4bs2FNpRo9IQU48KvAmUYtHQTLMmZLq1ZIPvUL1aPXrQrNPh5YlyXFt07MrNaKdO9En1I9ikc7N+HFlVbd8AcPMW/ViScI2EdINKfjixISIB++M/NMpW5Eo68KEW1PuWMODTWr22Rhr4Ysyz4Yd+xAoSpMk8zLN+bm00b0SedpOjZsz2r69aX+lbJZ47pZljfecHVui4qefcU5mPpbhWrGtb4MVClfj6ODGqU9W3YzWstmbtg8P99ux4tDgRTl75+gbvun3f7uDLw3ZLs2dwZUmlEw8KRdTQyKNZ5Fr+ZlE3VdJ8feYg34N51pSd2H1XYWL6bXVYR9G9xt6Cz0onHsRBQQAIfkEBQ0A/gAsAAAAADwAKAAACP8A/QkcSBAAwYP+DAr8t/Afw38KEQo0CEBhRIkY/TG8OJDiRI0NMxasmFCkSYccEUIkuPKkyZclTaaE2THhTJokUdLcOdBhwZgZGWq86ZHnQgBCDyLVyTKiRZdGXz5EaFAoxIspb0Yt6LBlx6k1FwLVGhUr0K9JMzrdqpKn16BsMZIt29Xmx7h4f/pcKXQpz7kStVpNG5OkSMB4KxqWSPhwY5mLjT6VGTUtYpVJG5uV/FMuY7AYfbLdKJNpz8cKrd7lvBozx6pWkfYsmtfx29NnX3IUzXZm1byKa4eOq1q4Uo233SI3jjlxw5uPW3sO3Jdoas+XK3eeaBmu2twgdQNlJc2Sec3sQ0u2zFqb9t/Va6VrFx6RfFjzlAOzfBgdf9OJv6W1V3Kj7eSRRbLJhhx6Sl13X1u7hVdeb3Vt9xdW7lVmmlhuKZgecYWhRSBIDjbonIfc8aYfco2NeKFN9fW3WmYSBQQAOw==\"/\u003e\u003c/td\u003e\u003c/tr\u003e\u003c/table\u003e"
            ],
            "text/plain": [
              "\u003cIPython.core.display.HTML at 0x7fddc24da860\u003e"
            ]
          },
          "metadata": {
            "tags": []
          },
          "output_type": "display_data"
        }
      ],
      "source": [
        "def game_of_life(shape=(40, 60), seed=1):\n",
        "  np.random.seed(seed)\n",
        "  grid = (np.random.random(shape) \u003c 0.2).astype(np.int32)\n",
        "  NEIGHBORS = set(itertools.product((-1, 0, 1), repeat=2)) - {(0, 0)}\n",
        "  while True:\n",
        "    yield grid == 0\n",
        "    num_neighbors = np.add.reduce([\n",
        "        np.roll(grid, yx, axis=(0, 1)) for yx in NEIGHBORS])\n",
        "    grid = (num_neighbors == 3) | (grid \u0026 (num_neighbors == 2))\n",
        "\n",
        "media.show_video(itertools.islice(game_of_life(), 16),\n",
        "                 height=160, fps=8, codec='gif', border=True)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "3l-9bS3iY6O3"
      },
      "source": [
        "Show the 100\u003csup\u003eth\u003c/sup\u003e generation starting from different random seeds:"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 38,
      "metadata": {
        "colab": {
          "height": 227
        },
        "executionInfo": {
          "elapsed": 500,
          "status": "ok",
          "timestamp": 1617381120435,
          "user": {
            "displayName": "",
            "photoUrl": "",
            "userId": ""
          },
          "user_tz": 420
        },
        "id": "I2DPRxFHa0Ei",
        "outputId": "91129cb9-700e-4b7f-cbe4-e6931b55ef64"
      },
      "outputs": [
        {
          "data": {
            "text/html": [
              "\u003ctable class=\"show_images\" style=\"border-spacing:0;\"\u003e\u003ctr\u003e\u003ctd\u003e\u003cdiv style=\"display:flex; align-items:left;\"\u003e\n",
              "      \u003cdiv style=\"display:flex; flex-direction:column; align-items:center;\"\u003e\n",
              "      \u003cdiv\u003eseed=0\u003c/div\u003e\u003cdiv\u003e\u003cimg width=\"120\" height=\"80\" style=\"border:1px solid black; image-rendering:pixelated; object-fit:cover;\" src=\"data:image/png;base64,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\"/\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e\u003c/td\u003e\u003ctd\u003e\u003cdiv style=\"display:flex; align-items:left;\"\u003e\n",
              "      \u003cdiv style=\"display:flex; flex-direction:column; align-items:center;\"\u003e\n",
              "      \u003cdiv\u003eseed=1\u003c/div\u003e\u003cdiv\u003e\u003cimg width=\"120\" height=\"80\" style=\"border:1px solid black; image-rendering:pixelated; object-fit:cover;\" src=\"data:image/png;base64,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\"/\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e\u003c/td\u003e\u003ctd\u003e\u003cdiv style=\"display:flex; align-items:left;\"\u003e\n",
              "      \u003cdiv style=\"display:flex; flex-direction:column; align-items:center;\"\u003e\n",
              "      \u003cdiv\u003eseed=2\u003c/div\u003e\u003cdiv\u003e\u003cimg width=\"120\" height=\"80\" style=\"border:1px solid black; image-rendering:pixelated; object-fit:cover;\" src=\"data:image/png;base64,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\"/\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e\u003c/td\u003e\u003ctd\u003e\u003cdiv style=\"display:flex; align-items:left;\"\u003e\n",
              "      \u003cdiv style=\"display:flex; flex-direction:column; align-items:center;\"\u003e\n",
              "      \u003cdiv\u003eseed=3\u003c/div\u003e\u003cdiv\u003e\u003cimg width=\"120\" height=\"80\" style=\"border:1px solid black; image-rendering:pixelated; object-fit:cover;\" src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADwAAAAoCAIAAAAt2Q6oAAABQUlEQVR4nO1ZyxKDIAzMOv3/X04PaEQEeYbgtHvoYGVkWZcEIpiZDgBwl9JYDQCIaJMWETEzgGUZOzDzSdeWSjkAbIV0cUCbU5bGrrS5zFWGBLCpslHC5/m284Ptq9gt4UeLB07Seyn/ZOwh8zNff4FqCJJL0GkFe9xxKh21ATOvxpiiCzFw/Vw+Rbh4WsT2f5uhkYz2vYcvauj325ApHnPypWiajNNVMkc761nLPgY3oDeNzw/hADbzxFELZi7dmi6FXnuYzPmVW9Nq0iucX16p9E/GaRP8Sc+CLmmlUPNKpRujh+3ZMaN09P2aFxUypKXyG/xvy9t07NaZay3E7KkxKHZVQYW0I/SsYk/BLUl6SIiVTwupu22PTZLu8bpfVdOoUSkmF/+z0+An95eR6F7VvLIcr3QwwCgrS2MsY8ftC4a9yVw15gTBAAAAAElFTkSuQmCC\"/\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e\u003c/td\u003e\u003ctd\u003e\u003cdiv style=\"display:flex; align-items:left;\"\u003e\n",
              "      \u003cdiv style=\"display:flex; flex-direction:column; align-items:center;\"\u003e\n",
              "      \u003cdiv\u003eseed=4\u003c/div\u003e\u003cdiv\u003e\u003cimg width=\"120\" height=\"80\" style=\"border:1px solid black; image-rendering:pixelated; object-fit:cover;\" src=\"data:image/png;base64,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\"/\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e\u003c/td\u003e\u003c/tr\u003e\u003c/table\u003e\u003ctable class=\"show_images\" style=\"border-spacing:0;\"\u003e\u003ctr\u003e\u003ctd\u003e\u003cdiv style=\"display:flex; align-items:left;\"\u003e\n",
              "      \u003cdiv style=\"display:flex; flex-direction:column; align-items:center;\"\u003e\n",
              "      \u003cdiv\u003eseed=5\u003c/div\u003e\u003cdiv\u003e\u003cimg width=\"120\" height=\"80\" style=\"border:1px solid black; image-rendering:pixelated; object-fit:cover;\" src=\"data:image/png;base64,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\"/\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e\u003c/td\u003e\u003ctd\u003e\u003cdiv style=\"display:flex; align-items:left;\"\u003e\n",
              "      \u003cdiv style=\"display:flex; flex-direction:column; align-items:center;\"\u003e\n",
              "      \u003cdiv\u003eseed=6\u003c/div\u003e\u003cdiv\u003e\u003cimg width=\"120\" height=\"80\" style=\"border:1px solid black; image-rendering:pixelated; object-fit:cover;\" src=\"data:image/png;base64,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\"/\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e\u003c/td\u003e\u003ctd\u003e\u003cdiv style=\"display:flex; align-items:left;\"\u003e\n",
              "      \u003cdiv style=\"display:flex; flex-direction:column; align-items:center;\"\u003e\n",
              "      \u003cdiv\u003eseed=7\u003c/div\u003e\u003cdiv\u003e\u003cimg width=\"120\" height=\"80\" style=\"border:1px solid black; image-rendering:pixelated; object-fit:cover;\" src=\"data:image/png;base64,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\"/\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e\u003c/td\u003e\u003ctd\u003e\u003cdiv style=\"display:flex; align-items:left;\"\u003e\n",
              "      \u003cdiv style=\"display:flex; flex-direction:column; align-items:center;\"\u003e\n",
              "      \u003cdiv\u003eseed=8\u003c/div\u003e\u003cdiv\u003e\u003cimg width=\"120\" height=\"80\" style=\"border:1px solid black; image-rendering:pixelated; object-fit:cover;\" src=\"data:image/png;base64,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\"/\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e\u003c/td\u003e\u003ctd\u003e\u003cdiv style=\"display:flex; align-items:left;\"\u003e\n",
              "      \u003cdiv style=\"display:flex; flex-direction:column; align-items:center;\"\u003e\n",
              "      \u003cdiv\u003eseed=9\u003c/div\u003e\u003cdiv\u003e\u003cimg width=\"120\" height=\"80\" style=\"border:1px solid black; image-rendering:pixelated; object-fit:cover;\" src=\"data:image/png;base64,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\"/\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e\u003c/td\u003e\u003c/tr\u003e\u003c/table\u003e"
            ],
            "text/plain": [
              "\u003cIPython.core.display.HTML at 0x7fddc24da828\u003e"
            ]
          },
          "metadata": {
            "tags": []
          },
          "output_type": "display_data"
        }
      ],
      "source": [
        "images = {\n",
        "    f'seed={seed}': next(itertools.islice(game_of_life(seed=seed), 100, None))\n",
        "    for seed in range(10)\n",
        "}\n",
        "media.show_images(images, border=True, columns=5, height=80)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "aAMLtr4zPXU4"
      },
      "source": [
        "### Mandelbrot Set\n",
        "\n",
        "Visualize divergence of $\\|z_i\\|$ in the sequence $z_0 = 0,~z_{i+1} = z_{i}^2 + c$ over complex numbers $c$.\n",
        "See [Wikipedia](https://en.wikipedia.org/wiki/Mandelbrot_set)."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "height": 223
        },
        "executionInfo": {
          "elapsed": 786,
          "status": "ok",
          "timestamp": 1617322753736,
          "user": {
            "displayName": "",
            "photoUrl": "",
            "userId": ""
          },
          "user_tz": 420
        },
        "id": "mhkpbnqkPZat",
        "outputId": "2bd41f14-828f-4504-ce1d-1e69dad17bc2"
      },
      "outputs": [
        {
          "data": {
            "text/html": [
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\"/\u003e\u003c/td\u003e\u003c/tr\u003e\u003c/table\u003e"
            ],
            "text/plain": [
              "\u003cIPython.core.display.HTML at 0x7fddc2477668\u003e"
            ]
          },
          "metadata": {
            "tags": []
          },
          "output_type": "display_data"
        }
      ],
      "source": [
        "def mandelbrot(shape, center_xy=(-0.75, -0.5), radius=1.25, max_iter=200):\n",
        "  yx = np.moveaxis(np.indices(shape), 0, -1)\n",
        "  yx = (yx + 0.5 - np.array(shape) / 2) / max(shape) * 2  # in [-1, 1]^2\n",
        "  c = np.dot(yx * radius + center_xy[::-1], (1j, 1))\n",
        "  count_iter = np.zeros(shape)\n",
        "  z = np.zeros_like(c)\n",
        "  for it in range(max_iter):\n",
        "    active = np.abs(z) \u003c 4\n",
        "    count_iter[active] = it\n",
        "    z[active] = z[active]**2 + c[active]\n",
        "  return np.where(active, 0, count_iter)\n",
        "\n",
        "media.show_image(mandelbrot((200, 300))**0.23, cmap='gnuplot2')"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "2LjPxrNOyUWf"
      },
      "source": [
        "### Format conversions"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "executionInfo": {
          "elapsed": 132,
          "status": "ok",
          "timestamp": 1617322753915,
          "user": {
            "displayName": "",
            "photoUrl": "",
            "userId": ""
          },
          "user_tz": 420
        },
        "id": "BVavJBu7XKV9",
        "outputId": "3a4a3609-210b-4709-adcb-824a261fef0c"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "dtype=uint8    mean=121.61360677083333\n",
            "dtype=uint16   mean=31254.696940104168\n",
            "dtype=uint32   mean=2048339073.3636067\n",
            "dtype=uint64   mean=8.797549333263974e+18\n",
            "dtype=float32  mean=0.47691610455513\n",
            "dtype=float64  mean=0.4769161049836601\n"
          ]
        }
      ],
      "source": [
        "def apply_conversions(image):\n",
        "  assert image.dtype == np.uint8\n",
        "  for dtype in ('uint8', 'uint16', 'uint32', 'uint64', 'float32', 'float64'):\n",
        "    with warnings.catch_warnings():\n",
        "      warnings.simplefilter('ignore')\n",
        "      a = media.to_type(image, dtype)\n",
        "    print(f'dtype={a.dtype!s:\u003c8} mean={np.mean(a)}')\n",
        "    assert np.all(media.to_uint8(a) == image)\n",
        "\n",
        "apply_conversions(image2)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "pmt_KtZGPEFs"
      },
      "source": [
        "### Image rate-distortion"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "height": 413
        },
        "executionInfo": {
          "elapsed": 466,
          "status": "ok",
          "timestamp": 1617333966745,
          "user": {
            "displayName": "",
            "photoUrl": "",
            "userId": ""
          },
          "user_tz": 420
        },
        "id": "J9U4kbuf2_nO",
        "outputId": "33b8d4e4-4c00-44f2-b755-c4664f6b81b9"
      },
      "outputs": [
        {
          "data": {
            "text/html": [
              "\u003ctable class=\"show_images\" style=\"border-spacing:0;\"\u003e\u003ctr\u003e\u003ctd\u003e\u003cspan style=\"writing-mode: vertical-lr; transform: rotate(180deg);\"\u003ejpeg\u003c/span\u003e\u003c/td\u003e\u003ctd\u003e\u003cdiv style=\"display:flex; align-items:left;\"\u003e\n",
              "      \u003cdiv style=\"display:flex; flex-direction:column; align-items:center;\"\u003e\n",
              "      \u003cdiv\u003equality=10\u003c/div\u003e\u003cdiv\u003e\u003cimg width=\"120\" height=\"120\" style=\"border:1px solid black; image-rendering:pixelated; object-fit:cover;\" src=\"data:image/png;base64,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\"/\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e\u003c/td\u003e\u003ctd\u003e\u003cdiv style=\"display:flex; align-items:left;\"\u003e\n",
              "      \u003cdiv style=\"display:flex; flex-direction:column; align-items:center;\"\u003e\n",
              "      \u003cdiv\u003equality=20\u003c/div\u003e\u003cdiv\u003e\u003cimg width=\"120\" height=\"120\" style=\"border:1px solid black; image-rendering:pixelated; object-fit:cover;\" src=\"data:image/png;base64,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\"/\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e\u003c/td\u003e\u003ctd\u003e\u003cdiv style=\"display:flex; align-items:left;\"\u003e\n",
              "      \u003cdiv style=\"display:flex; flex-direction:column; align-items:center;\"\u003e\n",
              "      \u003cdiv\u003equality=40\u003c/div\u003e\u003cdiv\u003e\u003cimg width=\"120\" height=\"120\" style=\"border:1px solid black; image-rendering:pixelated; object-fit:cover;\" src=\"data:image/png;base64,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\"/\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e\u003c/td\u003e\u003ctd\u003e\u003cdiv style=\"display:flex; align-items:left;\"\u003e\n",
              "      \u003cdiv style=\"display:flex; flex-direction:column; align-items:center;\"\u003e\n",
              "      \u003cdiv\u003equality=75\u003c/div\u003e\u003cdiv\u003e\u003cimg width=\"120\" height=\"120\" style=\"border:1px solid black; image-rendering:pixelated; object-fit:cover;\" src=\"data:image/png;base64,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\"/\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e\u003c/td\u003e\u003ctd\u003e\u003cdiv style=\"display:flex; align-items:left;\"\u003e\n",
              "      \u003cdiv style=\"display:flex; flex-direction:column; align-items:center;\"\u003e\n",
              "      \u003cdiv\u003equality=90\u003c/div\u003e\u003cdiv\u003e\u003cimg width=\"120\" height=\"120\" style=\"border:1px solid black; image-rendering:pixelated; object-fit:cover;\" src=\"data:image/png;base64,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\"/\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e\u003c/td\u003e\u003ctd\u003e\u003cdiv style=\"display:flex; align-items:left;\"\u003e\n",
              "      \u003cdiv style=\"display:flex; flex-direction:column; align-items:center;\"\u003e\n",
              "      \u003cdiv\u003equality=95\u003c/div\u003e\u003cdiv\u003e\u003cimg width=\"120\" height=\"120\" style=\"border:1px solid black; image-rendering:pixelated; object-fit:cover;\" src=\"data:image/png;base64,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\"/\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e\u003c/td\u003e\u003ctd\u003e\u003cdiv style=\"display:flex; align-items:left;\"\u003e\n",
              "      \u003cdiv style=\"display:flex; flex-direction:column; align-items:center;\"\u003e\n",
              "      \u003cdiv\u003equality=100\u003c/div\u003e\u003cdiv\u003e\u003cimg width=\"120\" height=\"120\" style=\"border:1px solid black; image-rendering:pixelated; object-fit:cover;\" src=\"data:image/png;base64,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\"/\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e\u003c/td\u003e\u003c/tr\u003e\u003c/table\u003e"
            ],
            "text/plain": [
              "\u003cIPython.core.display.HTML at 0x7fddc33f2ac8\u003e"
            ]
          },
          "metadata": {
            "tags": []
          },
          "output_type": "display_data"
        },
        {
          "data": {
            "image/png": 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VVw+7/PUZOTw8exXz1+6gS+sm/OvagQzq3rqmwhcRETmqAo0S/RRw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\nYII=\n",
            "text/plain": [
              "\u003cFigure size 1000x350 with 1 Axes\u003e"
            ]
          },
          "metadata": {
            "tags": []
          },
          "output_type": "display_data"
        }
      ],
      "source": [
        "def analyze_image_rate_distortion(image, fmt='jpeg'):\n",
        "  params = [10, 20, 40, 75, 90, 95, 100]\n",
        "  images = {}\n",
        "  num_bytes, psnrs = [], []\n",
        "\n",
        "  for param in params:\n",
        "    data = media.compress_image(image, fmt=fmt, quality=param)\n",
        "    num_bytes.append(len(data))\n",
        "    image_new = media.decompress_image(data)\n",
        "    images[f'quality={param}'] = image_new[30:60, 0:30]\n",
        "    rms_error = np.sqrt(np.mean(np.square(image_new - image)))\n",
        "    psnr = 20 * math.log10(255.0 / rms_error)\n",
        "    psnrs.append(psnr)\n",
        "\n",
        "  media.show_images(images, border=True, ylabel=fmt, height=120)\n",
        "  fig, ax = plt.subplots(figsize=(10, 3.5))\n",
        "  ax.plot(num_bytes, psnrs, 'o-', label=f'{fmt} (by quality parameter)')\n",
        "  for x, y, param in zip(num_bytes, psnrs, params):\n",
        "    kwargs = dict(textcoords='offset points', xytext=(0, 10), ha='center')\n",
        "    plt.annotate(f'{param}', (x, y), **kwargs)\n",
        "  ax.set_title('Image rate-distortion')\n",
        "  ax.set_xlabel('Obtained size (bytes)')\n",
        "  ax.set_ylabel('PSNR (dB)')\n",
        "  ax.legend(), ax.grid(True)\n",
        "  plt.show()\n",
        "\n",
        "analyze_image_rate_distortion(media.read_image(IMAGE))  # or try fmt='webp'"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "1AuMdIAT23eU"
      },
      "source": [
        "### Video rate-distortion"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "height": 272
        },
        "executionInfo": {
          "elapsed": 8315,
          "status": "ok",
          "timestamp": 1617322763255,
          "user": {
            "displayName": "",
            "photoUrl": "",
            "userId": ""
          },
          "user_tz": 420
        },
        "id": "EkSqQabw4rJn",
        "outputId": "eb1112c1-e5dc-4317-9242-917736951156"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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vnzHGN7SCbvt/IC7pP7Qv2EN++ziSBt1NRtdTIVUg9etGn9Keab7jzZqzM4CJ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\nIJacGWOMMca0IP8fdJTJWOhJc6kAAAAASUVORK5CYII=\n",
            "text/plain": [
              "\u003cFigure size 1000x350 with 1 Axes\u003e"
            ]
          },
          "metadata": {
            "tags": []
          },
          "output_type": "display_data"
        }
      ],
      "source": [
        "# Note that the metadata in the video container may be a significant overhead\n",
        "# for small videos; see https://superuser.com/questions/1617422/.\n",
        "\n",
        "def analyze_video_rate_distortion(video, fps=30, codec='h264'):\n",
        "  fig, ax = plt.subplots(figsize=(10, 3.5))\n",
        "\n",
        "  for encoded_format in ['yuv420p', 'yuv444p']:\n",
        "    bitrates, psnrs = [], []\n",
        "    for requested_mbps in [0.03, 0.1, 0.3, 1, 3, 10]:\n",
        "      bps = int(requested_mbps * 1.0e6)\n",
        "      data = media.compress_video(\n",
        "          video, encoded_format=encoded_format, codec=codec, bps=bps, fps=fps)\n",
        "      video_new = media.decompress_video(data)\n",
        "      rms_error = np.sqrt(np.mean(np.square(video_new - video)))\n",
        "      psnr = 20 * math.log10(255.0 / rms_error)\n",
        "      obtained_bps = len(data) * 8 / (len(video) / fps)\n",
        "      bitrates.append(obtained_bps)\n",
        "      psnrs.append(psnr)\n",
        "    ax.semilogx(bitrates, psnrs, 'o-', label=f'{codec}_{encoded_format}')\n",
        "\n",
        "  ax.set_title('Video rate-distortion')\n",
        "  ax.set_xlabel('Obtained bitrate (bits/s)')\n",
        "  ax.set_ylabel('PSNR (dB)')\n",
        "  ax.legend(), ax.grid(True)\n",
        "  plt.show()\n",
        "\n",
        "analyze_video_rate_distortion(video2)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "DdgQnsny7hiw"
      },
      "source": [
        "### Epilogue"
      ]
    }
  ],
  "metadata": {
    "colab": {
      "collapsed_sections": [],
      "last_runtime": {
        "build_target": "//research/colab/notebook:notebook_backend_py3",
        "kind": "private"
      },
      "name": "mediapy_examples.ipynb",
      "provenance": [
        {
          "file_id": "1qeDaZtcpaUuJI1QyCEUAAk5zj8tZ7G1H",
          "timestamp": 1615056117619
        }
      ],
      "toc_visible": true
    },
    "kernelspec": {
      "display_name": "Python 3",
      "name": "python3"
    }
  },
  "nbformat": 4,
  "nbformat_minor": 0
}