47 lines
915 B
Markdown
47 lines
915 B
Markdown
---
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id: 5900f3aa1000cf542c50febd
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title: 'Problem 62: Cubic permutations'
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challengeType: 5
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forumTopicId: 302174
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dashedName: problem-62-cubic-permutations
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---
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# --description--
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The cube, 41063625 (345<sup>3</sup>), can be permuted to produce two other cubes: 56623104 (384<sup>3</sup>) and 66430125 (405<sup>3</sup>). In fact, 41063625 is the smallest cube which has exactly three permutations of its digits which are also cube.
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Find the smallest cube for which exactly five permutations of its digits are cube.
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# --hints--
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`cubicPermutations()` should return a number.
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```js
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assert(typeof cubicPermutations() === 'number');
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```
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`cubicPermutations()` should return 127035954683.
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```js
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assert.strictEqual(cubicPermutations(), 127035954683);
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```
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# --seed--
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## --seed-contents--
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```js
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function cubicPermutations() {
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return true;
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}
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cubicPermutations();
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```
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# --solutions--
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```js
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// solution required
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```
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