5_image_eda.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "ba1bc78e-6ac4-4751-9e93-680adc42b565",
   "metadata": {},
   "outputs": [],
   "source": [
    "import os\n",
    "\n",
    "import cv2\n",
    "from matplotlib import pyplot as plt\n",
    "from matplotlib.ticker import PercentFormatter\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "from skimage.morphology import skeletonize\n",
    "from tqdm import tqdm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "3e774120-1e9c-4c8e-a17f-e7198c3bb1bb",
   "metadata": {},
   "outputs": [],
   "source": [
    "plt.rcParams['figure.figsize'] = [6.43,4.83]\n",
    "plt.rcParams['figure.dpi'] = 106"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "a2347460-2965-4b69-97cf-621024d66824",
   "metadata": {},
   "outputs": [],
   "source": [
    "raw_seg_black = cv2.imread('../../irop_data/segmentations/9510.bmp')\n",
    "raw_seg_white = cv2.imread('../../irop_data/segmentations/66884.bmp')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "2d6166cb-7df1-423d-9a72-fc94e8ce5dd9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 681.58x511.98 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "for lower_threshold in [0, 50, 200]:\n",
    "    black_threshold = np.copy(raw_seg_black)[:,:,0]\n",
    "    white_threshold = np.copy(raw_seg_white)[:,:,0]\n",
    "    black_threshold[black_threshold < lower_threshold] = 0\n",
    "    white_threshold[white_threshold < lower_threshold] = 0\n",
    "\n",
    "    black_binary = np.copy(black_threshold)\n",
    "    white_binary = np.copy(white_threshold)\n",
    "    black_binary[black_binary > 0] = 255\n",
    "    white_binary[white_binary > 0] = 255\n",
    "\n",
    "    black_skeleton = np.copy(black_binary)\n",
    "    white_skeleton = np.copy(white_binary)\n",
    "    black_skeleton = skeletonize(black_skeleton, method='lee')\n",
    "    white_skeleton = skeletonize(white_skeleton, method='lee')\n",
    "\n",
    "    images = [black_threshold, white_threshold, black_binary, white_binary, black_skeleton, white_skeleton]\n",
    "    image_names = ['black_threshold', 'white_threshold', 'black_binary', 'white_binary', 'black_skeleton', 'white_skeleton']\n",
    "    for img, img_name in zip(images, image_names):\n",
    "        plt.axis('off')\n",
    "        plt.tight_layout()\n",
    "        plt.imshow(img, cmap='gray', vmin=0, vmax=255)\n",
    "        plt.savefig(f'./out/figures/{img_name}_{lower_threshold}.png', bbox_inches='tight', pad_inches=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "b9510c43-40e6-4df7-a275-e70f9370d920",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 681.58x511.98 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "lower_threshold = 10\n",
    "\n",
    "black_threshold = np.copy(raw_seg_black)[:,:,0]\n",
    "white_threshold = np.copy(raw_seg_white)[:,:,0]\n",
    "black_threshold[black_threshold > lower_threshold] = 0\n",
    "white_threshold[white_threshold > lower_threshold] = 0\n",
    "\n",
    "black_binary = np.copy(black_threshold)\n",
    "white_binary = np.copy(white_threshold)\n",
    "black_binary[black_binary > 0] = 255\n",
    "white_binary[white_binary > 0] = 255\n",
    "\n",
    "black_skeleton = np.copy(black_binary)\n",
    "white_skeleton = np.copy(white_binary)\n",
    "black_skeleton = skeletonize(black_skeleton, method='lee')\n",
    "white_skeleton = skeletonize(white_skeleton, method='lee')\n",
    "\n",
    "images = [black_threshold, white_threshold, black_binary, white_binary, black_skeleton, white_skeleton]\n",
    "image_names = ['black_threshold', 'white_threshold', 'black_binary', 'white_binary', 'black_skeleton', 'white_skeleton']\n",
    "for img, img_name in zip(images, image_names):\n",
    "    plt.axis('off')\n",
    "    plt.tight_layout()\n",
    "    plt.imshow(img, cmap='gray', vmin=0, vmax=255)\n",
    "    plt.savefig(f'./out/figures/{img_name}_{lower_threshold}.png', bbox_inches='tight', pad_inches=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "5e24e2ce-530d-4f36-bd5e-85e385b690fb",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 681.58x511.98 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "lower_threshold = 75\n",
    "upper_threshold = 150\n",
    "\n",
    "black_threshold = np.copy(raw_seg_black)[:,:,0]\n",
    "white_threshold = np.copy(raw_seg_white)[:,:,0]\n",
    "black_threshold[black_threshold < lower_threshold] = 0\n",
    "white_threshold[white_threshold < lower_threshold] = 0\n",
    "black_threshold[black_threshold > upper_threshold] = 0\n",
    "white_threshold[white_threshold > upper_threshold] = 0\n",
    "\n",
    "black_binary = np.copy(black_threshold)\n",
    "white_binary = np.copy(white_threshold)\n",
    "black_binary[black_binary > 0] = 255\n",
    "white_binary[white_binary > 0] = 255\n",
    "\n",
    "black_skeleton = np.copy(black_binary)\n",
    "white_skeleton = np.copy(white_binary)\n",
    "black_skeleton = skeletonize(black_skeleton, method='lee')\n",
    "white_skeleton = skeletonize(white_skeleton, method='lee')\n",
    "\n",
    "images = [black_threshold, white_threshold, black_binary, white_binary, black_skeleton, white_skeleton]\n",
    "image_names = ['black_threshold', 'white_threshold', 'black_binary', 'white_binary', 'black_skeleton', 'white_skeleton']\n",
    "for img, img_name in zip(images, image_names):\n",
    "    plt.axis('off')\n",
    "    plt.tight_layout()\n",
    "    plt.imshow(img, cmap='gray', vmin=0, vmax=255)\n",
    "    plt.savefig(f'./out/figures/{img_name}_{lower_threshold}.png', bbox_inches='tight', pad_inches=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "4267c132-e93d-4a39-8b6f-521b528023f5",
   "metadata": {},
   "outputs": [],
   "source": [
    "def average_hist(directory):\n",
    "    red_hists = []\n",
    "    green_hists = []\n",
    "    blue_hists = []\n",
    "    for img in tqdm(os.listdir(directory)):\n",
    "        img = cv2.imread(os.path.join(directory, img))\n",
    "        img = cv2.cvtColor(img, cv2.COLOR_BGR2RGB)\n",
    "        red_hist = cv2.calcHist([img], [0], None, [256], [0,256])\n",
    "        green_hist = cv2.calcHist([img], [1], None, [256], [0,256])\n",
    "        blue_hist = cv2.calcHist([img], [2], None, [256], [0,256])\n",
    "        red_hists.append(red_hist)\n",
    "        green_hists.append(green_hist)\n",
    "        blue_hists.append(blue_hist)\n",
    "        \n",
    "    return red_hists, green_hists, blue_hists"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "086ef92e-3cd4-4bde-919b-662883963370",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 754/754 [00:07<00:00, 98.40it/s] \n",
      "100%|██████████| 1221/1221 [00:12<00:00, 95.62it/s] \n"
     ]
    }
   ],
   "source": [
    "black_red, black_green, black_blue = average_hist('./out/datasets/retcam/train/black')\n",
    "white_red, white_green, white_blue = average_hist('./out/datasets/retcam/train/white')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "76d09c3c-caa9-4dd5-8df8-79735553ad68",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7ff298db4450>"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1600x500 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8,2.5), dpi=200)\n",
    "\n",
    "mean_hist = np.mean(black_red, axis=0)\n",
    "mean_hist = [x[0] for x in mean_hist.tolist()]\n",
    "plt.bar(np.arange(len(mean_hist)), mean_hist, log=True, alpha=1.0, label='Black', color='black', width=1.0)\n",
    "\n",
    "mean_hist = np.mean(white_red, axis=0)\n",
    "mean_hist = [x[0] for x in mean_hist.tolist()]\n",
    "plt.bar(np.arange(len(mean_hist)), mean_hist, log=True, alpha=0.6, label='White', color='gray', width=1.0)\n",
    "\n",
    "plt.legend(loc='upper right')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "1c30ea49-4eba-4de4-9d92-85c124b3cc2d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<BarContainer object of 256 artists>"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1600x500 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8,2.5), dpi=200)\n",
    "\n",
    "mean_hist = np.mean(black_green, axis=0)\n",
    "mean_hist = [x[0] for x in mean_hist.tolist()]\n",
    "plt.bar(np.arange(len(mean_hist)), mean_hist, log=True, alpha=1.0, label='Black', color='black', width=1.0)\n",
    "\n",
    "mean_hist = np.mean(white_green, axis=0)\n",
    "mean_hist = [x[0] for x in mean_hist.tolist()]\n",
    "plt.bar(np.arange(len(mean_hist)), mean_hist, log=True, alpha=0.6, label='White', color='gray', width=1.0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "9003cb52-9726-475c-b6d3-a5e514f8a686",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<BarContainer object of 256 artists>"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1600x500 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8,2.5), dpi=200)\n",
    "\n",
    "mean_hist = np.mean(black_blue, axis=0)\n",
    "mean_hist = [x[0] for x in mean_hist.tolist()]\n",
    "plt.bar(np.arange(len(mean_hist)), mean_hist, log=True, alpha=1.0, label='Black', color='black', width=1.0)\n",
    "\n",
    "mean_hist = np.mean(white_blue, axis=0)\n",
    "mean_hist = [x[0] for x in mean_hist.tolist()]\n",
    "plt.bar(np.arange(len(mean_hist)), mean_hist, log=True, alpha=0.6, label='White', color='gray', width=1.0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "340819d8-e3da-4f3c-a367-ce88f4110aa1",
   "metadata": {},
   "outputs": [],
   "source": [
    "def pixels_segmented(directory, threshold):\n",
    "    thresholded = []\n",
    "    skeletonized = []\n",
    "    for img in tqdm(os.listdir(directory)):\n",
    "        img = cv2.imread(os.path.join(directory, img))\n",
    "        img = img[:,:,0]\n",
    "        img[img < threshold] = 0\n",
    "        thresholded.append(np.count_nonzero(img))\n",
    "        img[img > 0] = 1\n",
    "        img = skeletonize(img, method='lee')\n",
    "        skeletonized.append(np.count_nonzero(img))\n",
    "    \n",
    "    return thresholded, skeletonized"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "34685416-c7a0-4b91-bbb1-6598fb99cac0",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 754/754 [00:26<00:00, 28.17it/s]\n",
      "100%|██████████| 1221/1221 [00:51<00:00, 23.68it/s]\n"
     ]
    }
   ],
   "source": [
    "black_thresholded, black_skeletonized = pixels_segmented('./out/datasets/segmentations/train/black', 0)\n",
    "white_thresholded, white_skeletonized = pixels_segmented('./out/datasets/segmentations/train/white', 0)\n",
    "\n",
    "black_weights = np.ones(len(black_thresholded)) / len(black_thresholded)\n",
    "white_weights = np.ones(len(white_thresholded)) / len(white_thresholded)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "e4574e9a-8fff-45fe-bea0-e200bae65372",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7ffdf321b110>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1600x500 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8,2.5), dpi=200)\n",
    "plt.hist(black_thresholded, weights=black_weights, alpha=1.0, bins=50, label='Black', color='black')\n",
    "plt.hist(white_thresholded, weights=white_weights, alpha=0.6, bins=50, label='White', color='gray')\n",
    "plt.gca().yaxis.set_major_formatter(PercentFormatter(1))\n",
    "plt.gca().set_ylim([0,0.06])\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "422079d5-c18b-4c7c-a2c9-a2fcfc7ab8b9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7ffdc02b22d0>"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1600x500 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8,2.5), dpi=200)\n",
    "plt.hist(black_skeletonized, weights=black_weights, alpha=1.0, bins=50, label='Black', color='black')\n",
    "plt.hist(white_skeletonized, weights=white_weights, alpha=0.6, bins=50, label='White', color='gray')\n",
    "plt.gca().yaxis.set_major_formatter(PercentFormatter(1))\n",
    "plt.gca().set_ylim([0,0.06])\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "9ca530b7-a1cf-4914-88ec-b24233cae0bc",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 754/754 [00:07<00:00, 100.02it/s]\n",
      "100%|██████████| 1221/1221 [00:13<00:00, 93.64it/s]\n"
     ]
    }
   ],
   "source": [
    "black_thresholded, black_skeletonized = pixels_segmented('./out/datasets/segmentations/train/black', 50)\n",
    "white_thresholded, white_skeletonized = pixels_segmented('./out/datasets/segmentations/train/white', 50)\n",
    "\n",
    "black_weights = np.ones(len(black_thresholded)) / len(black_thresholded)\n",
    "white_weights = np.ones(len(white_thresholded)) / len(white_thresholded)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "bd8f57fd-e195-41c0-9600-72cae36d53c5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7ffdc02e9610>"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1600x500 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8,2.5), dpi=200)\n",
    "plt.hist(black_thresholded, weights=black_weights, alpha=1.0, bins=50, label='Black', color='black')\n",
    "plt.hist(white_thresholded, weights=white_weights, alpha=0.6, bins=50, label='White', color='gray')\n",
    "plt.gca().yaxis.set_major_formatter(PercentFormatter(1))\n",
    "plt.gca().set_ylim([0,0.06])\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "12c9eb9b-3295-4805-a519-821c2dd9b821",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7ffdd02a9450>"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1600x500 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8,2.5), dpi=200)\n",
    "plt.hist(black_skeletonized, weights=black_weights, alpha=1.0, bins=50, label='Black', color='black')\n",
    "plt.hist(white_skeletonized, weights=white_weights, alpha=0.6, bins=50, label='White', color='gray')\n",
    "plt.gca().yaxis.set_major_formatter(PercentFormatter(1))\n",
    "plt.gca().set_ylim([0,0.06])\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "877dabc7-4e87-49be-8448-cf49f6a1ae37",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 754/754 [00:05<00:00, 136.72it/s]\n",
      "100%|██████████| 1221/1221 [00:10<00:00, 118.64it/s]\n"
     ]
    }
   ],
   "source": [
    "black_thresholded, black_skeletonized = pixels_segmented('./out/datasets/segmentations/train/black', 200)\n",
    "white_thresholded, white_skeletonized = pixels_segmented('./out/datasets/segmentations/train/white', 200)\n",
    "\n",
    "black_weights = np.ones(len(black_thresholded)) / len(black_thresholded)\n",
    "white_weights = np.ones(len(white_thresholded)) / len(white_thresholded)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "38a61105-0ac1-4ffc-b3f5-55b1e447e0cf",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7ffde170dcd0>"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1600x500 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8,2.5), dpi=200)\n",
    "plt.hist(black_thresholded, weights=black_weights, alpha=1.0, bins=50, label='Black', color='black')\n",
    "plt.hist(white_thresholded, weights=white_weights, alpha=0.6, bins=50, label='White', color='gray')\n",
    "plt.gca().yaxis.set_major_formatter(PercentFormatter(1))\n",
    "plt.gca().set_ylim([0,0.06])\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "5ae9d4b4-7d90-44f8-b51c-b5503a1da17a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7ffdf3e89290>"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1600x500 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8,2.5), dpi=200)\n",
    "plt.hist(black_skeletonized, weights=black_weights, alpha=1.0, bins=50, label='Black', color='black')\n",
    "plt.hist(white_skeletonized, weights=white_weights, alpha=0.6, bins=50, label='White', color='gray')\n",
    "plt.gca().yaxis.set_major_formatter(PercentFormatter(1))\n",
    "plt.gca().set_ylim([0,0.06])\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "d405165e-775a-4190-9f5d-d5169a8935b0",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.10"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}