67 lines
1.4 KiB
Markdown
67 lines
1.4 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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forumTopicId: 302100
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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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## 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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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 ]);
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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 substringDivisibility() {
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// Good luck!
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return [];
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}
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substringDivisibility();
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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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