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			65 lines
		
	
	
		
			1.5 KiB
		
	
	
	
		
			Markdown
		
	
	
	
	
	
			
		
		
	
	
			65 lines
		
	
	
		
			1.5 KiB
		
	
	
	
		
			Markdown
		
	
	
	
	
	
| ---
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| id: 5900f3971000cf542c50feaa
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| challengeType: 5
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| title: 'Problem 43: Sub-string divisibility'
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| ---
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| 
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| ## Description
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| <section id='description'>
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| The number, 1406357289, is a 0 to 9 pandigital number because it is made up of each of the digits 0 to 9 in some order, but it also has a rather interesting sub-string divisibility property.
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| Let d1 be the 1st digit, d2 be the 2nd digit, and so on. In this way, we note the following:
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| d2d3d4=406 is divisible by 2
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| d3d4d5=063 is divisible by 3
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| d4d5d6=635 is divisible by 5
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| d5d6d7=357 is divisible by 7
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| d6d7d8=572 is divisible by 11
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| d7d8d9=728 is divisible by 13
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| d8d9d10=289 is divisible by 17
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| Find the numbers of all 0 to 9 pandigital numbers with this property.
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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>substringDivisibility()</code> should return [ 1430952867, 1460357289, 1406357289, 4130952867, 4160357289, 4106357289 ].
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|     testString: assert.deepEqual(substringDivisibility(), [ 1430952867, 1460357289, 1406357289, 4130952867, 4160357289, 4106357289 ], '<code>substringDivisibility()</code> should return [ 1430952867, 1460357289, 1406357289, 4130952867, 4160357289, 4106357289 ].');
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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 substringDivisibility() {
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|   // Good luck!
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|   return [];
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| }
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| 
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| substringDivisibility();
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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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