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   "source": [
    "# [Distinct Powers](https://projecteuler.net/problem=29)\n",
    "\n",
    "Python offers a [built-in set type](https://docs.python.org/3/library/stdtypes.html) that will only keep track of distinct items for us. We also don't need to worry about overflows, since integers are unlimited precision."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "9fa32dcf",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "9183"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len({a ** b for a in range(2, 101) for b in range(2, 101)})"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d7afa770",
   "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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   "display_name": "SageMath 9.5",
   "language": "sage",
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