63 lines
1.9 KiB
Markdown
63 lines
1.9 KiB
Markdown
---
|
||
id: 5900f3841000cf542c50fe97
|
||
challengeType: 5
|
||
title: 'Problem 24: Lexicographic permutations'
|
||
---
|
||
|
||
## Description
|
||
<section id='description'>
|
||
A permutation is an ordered arrangement of objects. For example, 3124 is one possible permutation of the digits 1, 2, 3 and 4. If all of the permutations are listed numerically or alphabetically, we call it lexicographic order. The lexicographic permutations of 0, 1 and 2 are:
|
||
<div style='text-align: center;'>012 021 102 120 201 210</div>
|
||
What is the <var>n</var>th lexicographic permutation of the digits 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9?
|
||
</section>
|
||
|
||
## Instructions
|
||
<section id='instructions'>
|
||
|
||
</section>
|
||
|
||
## Tests
|
||
<section id='tests'>
|
||
|
||
```yml
|
||
- text: <code>lexicographicPermutations(699999)</code> should return 1938246570.
|
||
testString: 'assert(lexicographicPermutations(699999) == 1938246570, "<code>lexicographicPermutations(699999)</code> should return 1938246570.");'
|
||
- text: <code>lexicographicPermutations(899999)</code> should return 2536987410.
|
||
testString: 'assert(lexicographicPermutations(899999) == 2536987410, "<code>lexicographicPermutations(899999)</code> should return 2536987410.");'
|
||
- text: <code>lexicographicPermutations(900000)</code> should return 2537014689.
|
||
testString: 'assert(lexicographicPermutations(900000) == 2537014689, "<code>lexicographicPermutations(900000)</code> should return 2537014689.");'
|
||
- text: <code>lexicographicPermutations(999999)</code> should return 2783915460.
|
||
testString: 'assert(lexicographicPermutations(999999) == 2783915460, "<code>lexicographicPermutations(999999)</code> should return 2783915460.");'
|
||
|
||
```
|
||
|
||
</section>
|
||
|
||
## Challenge Seed
|
||
<section id='challengeSeed'>
|
||
|
||
<div id='js-seed'>
|
||
|
||
```js
|
||
function lexicographicPermutations(n) {
|
||
// Good luck!
|
||
return n;
|
||
}
|
||
|
||
lexicographicPermutations(999999);
|
||
```
|
||
|
||
</div>
|
||
|
||
|
||
|
||
</section>
|
||
|
||
## Solution
|
||
<section id='solution'>
|
||
|
||
```js
|
||
// solution required
|
||
```
|
||
</section>
|