{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Words filter"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Import libraries"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import re\n",
    "import time"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Validator function"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "def is_valid_word(word: str) -> bool:\n",
    "    return re.match(\"^[a-z]+$\", word)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Parse dataset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Total words: 466550\n",
      "Valid words: 416292\n",
      "Total time:  1.23 s\n"
     ]
    }
   ],
   "source": [
    "valid_words = set()\n",
    "dataset_filepath = \"./datasets/words.txt\"\n",
    "\n",
    "parse_start_time = time.time()\n",
    "total_words = 0\n",
    "with open(dataset_filepath, 'r') as dataset:\n",
    "    for word in dataset:\n",
    "        total_words += 1\n",
    "        unified_word = word.lower().rstrip('\\n')\n",
    "        if is_valid_word(unified_word):\n",
    "            valid_words.add(unified_word)\n",
    "\n",
    "sorted_words = sorted(valid_words)\n",
    "\n",
    "parse_end_time = time.time()\n",
    "\n",
    "print(\"Total words:\", total_words)\n",
    "print(\"Valid words:\", len(valid_words))\n",
    "print(\"Total time: \", round(parse_end_time - parse_start_time, 2), \"s\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Analizing data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "word_length_count = {}\n",
    "for word in sorted_words:\n",
    "    length = len(word)\n",
    "    if length in word_length_count:\n",
    "        word_length_count[length] += 1\n",
    "    else:\n",
    "        word_length_count[length] = 1\n",
    "\n",
    "sorted_lengths = sorted(word_length_count.keys())\n",
    "counts = [word_length_count[length] for length in sorted_lengths]\n",
    "\n",
    "plt.figure(figsize=(12, 6))\n",
    "plt.bar(sorted_lengths, counts, color='skyblue')\n",
    "plt.xlabel('Word Length')\n",
    "plt.ylabel('Number of Words')\n",
    "plt.title('Word Length Distribution')\n",
    "plt.xticks(sorted_lengths)\n",
    "plt.grid(axis='y', linestyle='--', alpha=0.7)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(6, 4))\n",
    "plt.bar(sorted_lengths[25:], counts[25:], color='skyblue')\n",
    "plt.xlabel('Word Length')\n",
    "plt.ylabel('Number of Words')\n",
    "plt.title('Word Length Distribution (length > 25)')\n",
    "plt.xticks(sorted_lengths[25:])\n",
    "plt.grid(axis='y', linestyle='--', alpha=0.7)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Remove words with length > 25\n",
    "sorted_words_removed_long = [word for word in sorted_words if len(word) <= 25]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "word_length_count_removed_long = {}\n",
    "for word in sorted_words_removed_long:\n",
    "    length = len(word)\n",
    "    if length in word_length_count_removed_long:\n",
    "        word_length_count_removed_long[length] += 1\n",
    "    else:\n",
    "        word_length_count_removed_long[length] = 1\n",
    "\n",
    "sorted_lengths = sorted(word_length_count_removed_long.keys())\n",
    "counts = [word_length_count_removed_long[length] for length in sorted_lengths]\n",
    "\n",
    "plt.figure(figsize=(8, 6))\n",
    "plt.bar(sorted_lengths, counts, color='skyblue')\n",
    "plt.xlabel('Word Length')\n",
    "plt.ylabel('Number of Words')\n",
    "plt.title('Word Length Distribution (removed long)')\n",
    "plt.xticks(sorted_lengths)\n",
    "plt.grid(axis='y', linestyle='--', alpha=0.7)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Export dataset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Done!\n"
     ]
    }
   ],
   "source": [
    "export_file_path = \"./datasets/filtered_words.txt\"\n",
    "\n",
    "with open(export_file_path, \"w\") as file:\n",
    "    for word in sorted_words_removed_long:\n",
    "        file.write(word + \"\\n\")\n",
    "\n",
    "print(\"Done!\")"
   ]
  }
 ],
 "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": "3.10.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}