{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "906609"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "def is_palindrome(n):\n",
    "    t = n\n",
    "    reverse = 0\n",
    "    while t > 0:\n",
    "        reverse *= 10\n",
    "        reverse += t%10\n",
    "        t //= 10\n",
    "    return n == reverse\n",
    "\n",
    "def products(lowerlim, upperlim):\n",
    "    products = []\n",
    "    for a in range(lowerlim, upperlim):\n",
    "        b = a\n",
    "        while b <= upperlim:\n",
    "            products.append(a*b)\n",
    "            b += 1\n",
    "    return sorted(products, reverse = True)\n",
    "    \n",
    "next(p for p in products(100, 1000) if is_palindrome(p))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "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": "3.7.4"
  },
  "title": "Largest palindrome product"
 },
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