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			68 lines
		
	
	
		
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			68 lines
		
	
	
		
			1.6 KiB
		
	
	
	
		
			Markdown
		
	
	
	
	
	
| ---
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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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| 
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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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| 
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| ## Instructions
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| <section id='instructions'>
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| 
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| </section>
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| 
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| ## Tests
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| <section id='tests'>
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| 
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| ```yml
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| tests:
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|   - text: <code>digitnPowers(2)</code> should return 0.
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|     testString: assert(digitnPowers(2) == 0, '<code>digitnPowers(2)</code> should return 0.');
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|   - text: <code>digitnPowers(3)</code> should return 1301.
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|     testString: assert(digitnPowers(3) == 1301, '<code>digitnPowers(3)</code> should return 1301.');
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|   - text: <code>digitnPowers(4)</code> should return 19316.
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|     testString: assert(digitnPowers(4) == 19316, '<code>digitnPowers(4)</code> should return 19316.');
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|   - text: <code>digitnPowers(5)</code> should return 443839.
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|     testString: assert(digitnPowers(5) == 443839, '<code>digitnPowers(5)</code> should return 443839.');
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| 
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| ```
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| 
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| </section>
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| 
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| ## Challenge Seed
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| <section id='challengeSeed'>
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| 
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| <div id='js-seed'>
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| 
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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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| 
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| digitnPowers(5);
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| ```
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| 
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| </div>
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| 
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| 
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| 
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| </section>
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| 
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| ## Solution
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| <section id='solution'>
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| 
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| ```js
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| // solution required
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| ```
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| </section>
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