{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "c981ecab-bf0d-435f-8c72-625a132d09fe",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1500x700 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# Given audio counts\n",
    "audio_counts = {\n",
    "    'abnormal weld': 5,\n",
    "    'corrosion': 16,\n",
    "    'normal pipe': 14,\n",
    "    'normal weld': 11,\n",
    "    'scale': 39,\n",
    "    'crack': 15\n",
    "}\n",
    "\n",
    "# Given image counts (same as audio counts in this case)\n",
    "image_counts = audio_counts.copy()\n",
    "\n",
    "# Bar graph for data counts\n",
    "plt.figure(figsize=(15, 7))\n",
    "plt.bar(audio_counts.keys(), audio_counts.values(), color='b', alpha=0.7, label='Audio')\n",
    "plt.bar(image_counts.keys(), image_counts.values(), color='r', alpha=0.5, label='Image', bottom=list(audio_counts.values()))\n",
    "\n",
    "plt.title('Number of Audio and Image Files Used in Pairs for Each Class', fontsize=18)\n",
    "plt.xlabel('Class', fontsize=16)\n",
    "plt.ylabel('Count', fontsize=16)\n",
    "plt.legend(fontsize=14)\n",
    "plt.xticks(rotation=45, fontsize=14)\n",
    "plt.yticks(fontsize=14)\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
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