2018-09-30 22:01:58 +00:00
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---
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id: 5900f38a1000cf542c50fe9d
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challengeType: 5
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title: 'Problem 30: Digit n powers'
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---
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## Description
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<section id='description'>
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Surprisingly there are only three numbers that can be written as the sum of fourth powers of their digits:
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1634 = 1<sup>4</sup> + 6<sup>4</sup> + 3<sup>4</sup> + 4<sup>4</sup>
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8208 = 8<sup>4</sup> + 2<sup>4</sup> + 0<sup>4</sup> + 8<sup>4</sup>
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9474 = 9<sup>4</sup> + 4<sup>4</sup> + 7<sup>4</sup> + 4<sup>4</sup>
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As 1 = 1<sup>4</sup> is not a sum it is not included.
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The sum of these numbers is 1634 + 8208 + 9474 = 19316.
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Find the sum of all the numbers that can be written as the sum of n powers of their digits.
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</section>
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## Instructions
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<section id='instructions'>
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</section>
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## Tests
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<section id='tests'>
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```yml
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2018-10-04 13:37:37 +00:00
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tests:
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- text: <code>digitnPowers(2)</code> should return 0.
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2018-10-20 18:02:47 +00:00
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testString: assert(digitnPowers(2) == 0, '<code>digitnPowers(2)</code> should return 0.');
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2018-10-04 13:37:37 +00:00
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- text: <code>digitnPowers(3)</code> should return 1301.
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2018-10-20 18:02:47 +00:00
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testString: assert(digitnPowers(3) == 1301, '<code>digitnPowers(3)</code> should return 1301.');
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2018-10-04 13:37:37 +00:00
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- text: <code>digitnPowers(4)</code> should return 19316.
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2018-10-20 18:02:47 +00:00
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testString: assert(digitnPowers(4) == 19316, '<code>digitnPowers(4)</code> should return 19316.');
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2018-10-04 13:37:37 +00:00
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- text: <code>digitnPowers(5)</code> should return 443839.
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2018-10-20 18:02:47 +00:00
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testString: assert(digitnPowers(5) == 443839, '<code>digitnPowers(5)</code> should return 443839.');
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2018-09-30 22:01:58 +00:00
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```
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</section>
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## Challenge Seed
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<section id='challengeSeed'>
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<div id='js-seed'>
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```js
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function digitnPowers(n) {
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// Good luck!
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return n;
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}
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digitnPowers(5);
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```
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</div>
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</section>
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## Solution
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<section id='solution'>
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```js
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// solution required
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```
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</section>
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