count_avg_len.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import json\n",
    "\n",
    "# load links from links.json\n",
    "with open('links.json', 'r') as f:\n",
    "    links = json.load(f)\n",
    "\n",
    "# get number of characters, then plot a histogram\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "# get number of characters\n",
    "num_chars = [len(link) for link in links]\n",
    "\n",
    "# plot histogram\n",
    "plt.hist(num_chars, bins=50)\n",
    "plt.xlabel('Number of characters')\n",
    "plt.ylabel('Number of links')\n",
    "plt.title('Distribution of number of characters in links')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "print(links[0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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