Solved 61, 62, 63.
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@@ -20,6 +20,51 @@
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"Find the smallest cube for which exactly five permutations of its digits are cube."
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]
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},
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{
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"cell_type": "code",
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"execution_count": 1,
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"metadata": {
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"collapsed": true
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},
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"outputs": [],
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"source": [
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"cubes = [n * n * n for n in range(1, 5000)]\n",
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"cubes_set = set(cubes)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 2,
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"metadata": {},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"[127035954683, 352045367981, 373559126408, 569310543872, 589323567104]\n",
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"127035954683\n"
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]
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}
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],
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"source": [
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"solutions = {}\n",
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"\n",
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"for n in range(1, 10000):\n",
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" cube = n * n * n\n",
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" try:\n",
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" key = \"\".join(sorted(str(cube)))\n",
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" solutions[key].append(cube)\n",
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" if len(solutions[key]) > 4:\n",
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" print(solutions[key])\n",
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" s = solutions[key][0]\n",
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" break\n",
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" except KeyError:\n",
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" solutions[key] = [cube]\n",
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"\n",
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"print(s)\n",
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"assert(s == 127035954683)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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@@ -31,7 +76,7 @@
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}
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],
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"metadata": {
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"completion_date": "",
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"completion_date": "Sun, 6 Jan 2019, 05:47",
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"kernelspec": {
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"display_name": "Python 3",
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"language": "python3.6",
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@@ -49,7 +94,9 @@
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"pygments_lexer": "ipython3",
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"version": "3.6.5"
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},
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"tags": []
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"tags": [
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"cubes"
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]
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},
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"nbformat": 4,
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"nbformat_minor": 2
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