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  {
   "cell_type": "markdown",
   "id": "9f099af5",
   "metadata": {},
   "source": [
    "# [Powerful Digit Sum](https://projecteuler.net/problem=56)\n",
    "\n",
    "Python's unlimited precision ints save the day again!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "34d2f2cc",
   "metadata": {},
   "outputs": [],
   "source": [
    "def digit_sum(n):\n",
    "    total = 0\n",
    "    while n != 0:\n",
    "        total += n % 10\n",
    "        n //= 10\n",
    "    \n",
    "    return total"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "2206dec6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "972"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "max(digit_sum(a^b) for a in range(1, 100) for b in range(1, 100))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d6f7d0af",
   "metadata": {},
   "source": [
    "#### Copyright (C) 2025 filifa\n",
    "\n",
    "This work is licensed under the [Creative Commons Attribution-ShareAlike 4.0 International license](https://creativecommons.org/licenses/by-sa/4.0/) and the [BSD Zero Clause license](https://spdx.org/licenses/0BSD.html)."
   ]
  }
 ],
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   "codemirror_mode": {
    "name": "ipython",
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   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.2"
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