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   "source": [
    "# [Project Euler](https://ProjectEuler.net)\n",
    "[This Python 3 notebook](Project%20Euler%20%28Python%203%29.ipynb) contains *some* solutions for the [Project Euler](https://ProjectEuler.net) challenge.\n",
    "\n",
    "### /!\\ **Warning:** do not spoil yourself the pleasure of solving these problems by yourself!\n",
    "\n",
    "[I (Lilian Besson)](http://perso.crans.org/besson/) started in February 2015, and worked occasionally on Project Euler problems in March and April 2015.\n",
    "I should try to work on it again, hence this notebook...\n",
    "\n",
    "![Badge giving the number of solved problems](https://ProjectEuler.net/profile/Naereen.png \"Badge giving the number of solved problems\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "----\n",
    "\n",
    "## Problem 32 : Pandigital products\n",
    "*Find the sum of all products whose multiplicand/multiplier/product identity can be written as a 1 through 9 pandigital.*"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The sum of all products whose multiplicand/multiplier/product identity can be written as a 1 through 6 pandigital is\n",
      "0\n"
     ]
    }
   ],
   "source": [
    "maxN = 987654321\n",
    "maxN = 654321  # XXX Passer à la vraie valeur\n",
    "l = len(str(maxN))\n",
    "sum32 = 0\n",
    "digits19 = set(range(1, l+1))\n",
    "for multiplicand in range(1, 1+maxN):  # upto 987 654 321\n",
    "    multiplier = 1\n",
    "    product = multiplicand * multiplier\n",
    "    while multiplier <= maxN and product <= maxN:  # Be smart here!\n",
    "        digits = str(multiplicand)+str(multiplier)+str(product)\n",
    "        if len(digits) == l and set(digits) == digits19:\n",
    "            print(\"multiplicand = {}, multiplier = {}, product = {}\".format(multiplicand, multiplier, product))\n",
    "            print(\"digits =\", digits)\n",
    "            sum32 += product\n",
    "        multiplier += 1\n",
    "        product = multiplicand * multiplier\n",
    "\n",
    "print(\"The sum of all products whose multiplicand/multiplier/product identity can be written as a 1 through\", l, \"pandigital is\")\n",
    "print(sum32)"
   ]
  },
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