Feat: add new Markdown parser (#39800)

and change all the challenges to new `md` format.
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Oliver Eyton-Williams
2020-11-27 19:02:05 +01:00
committed by GitHub
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commit 0bd52f8bd1
2580 changed files with 113436 additions and 111979 deletions

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---
title: Identity matrix
id: 5a23c84252665b21eecc7eb1
title: Identity matrix
challengeType: 5
forumTopicId: 302290
---
## Description
<section id='description'>
An <i>identity matrix</i> is a square matrix of size \( n \times n \), where the diagonal elements are all <code>1</code>s (ones), and all the other elements are all <code>0</code>s (zeroes).
# --description--
An *identity matrix* is a square matrix of size \\( n \\times n \\), where the diagonal elements are all `1`s (ones), and all the other elements are all `0`s (zeroes).
<ul>
<li style="list-style: none;">\(\displaystyle I_{n}=\begin{bmatrix} 1 & 0 & 0 \cr 0 & 1 & 0 \cr 0 & 0 & 1 \cr \end{bmatrix}\)</li>
<li style='list-style: none;'>\(\displaystyle I_{n}=\begin{bmatrix} 1 &#x26; 0 &#x26; 0 \cr 0 &#x26; 1 &#x26; 0 \cr 0 &#x26; 0 &#x26; 1 \cr \end{bmatrix}\)</li>
</ul>
</section>
## Instructions
<section id='instructions'>
Write a function that takes a number <code>n</code> as a parameter and returns the identity matrix of order \( n \times n \).
</section>
# --instructions--
## Tests
<section id='tests'>
Write a function that takes a number `n` as a parameter and returns the identity matrix of order \\( n \\times n \\).
```yml
tests:
- text: <code>idMatrix</code> should be a function.
testString: assert(typeof idMatrix=='function');
- text: <code>idMatrix(1)</code> should return an array.
testString: assert(Array.isArray(idMatrix(1)));
- text: <code>idMatrix(1)</code> should return <code>[ [ 1 ] ]</code>.
testString: assert.deepEqual(idMatrix(1),results[0]);
- text: <code>idMatrix(2)</code> should return <code>[ [ 1, 0 ], [ 0, 1 ] ]</code>.
testString: assert.deepEqual(idMatrix(2),results[1]);
- text: <code>idMatrix(3)</code> should return <code>[ [ 1, 0, 0 ], [ 0, 1, 0 ], [ 0, 0, 1 ] ]</code>.
testString: assert.deepEqual(idMatrix(3),results[2]);
- text: <code>idMatrix(4)</code> should return <code>[ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ]</code>.
testString: assert.deepEqual(idMatrix(4),results[3]);
# --hints--
```
</section>
## Challenge Seed
<section id='challengeSeed'>
<div id='js-seed'>
`idMatrix` should be a function.
```js
function idMatrix(n) {
}
assert(typeof idMatrix == 'function');
```
</div>
`idMatrix(1)` should return an array.
```js
assert(Array.isArray(idMatrix(1)));
```
### After Test
<div id='js-teardown'>
`idMatrix(1)` should return `[ [ 1 ] ]`.
```js
assert.deepEqual(idMatrix(1), results[0]);
```
`idMatrix(2)` should return `[ [ 1, 0 ], [ 0, 1 ] ]`.
```js
assert.deepEqual(idMatrix(2), results[1]);
```
`idMatrix(3)` should return `[ [ 1, 0, 0 ], [ 0, 1, 0 ], [ 0, 0, 1 ] ]`.
```js
assert.deepEqual(idMatrix(3), results[2]);
```
`idMatrix(4)` should return `[ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ]`.
```js
assert.deepEqual(idMatrix(4), results[3]);
```
# --seed--
## --after-user-code--
```js
let results=[[ [ 1 ] ],
@ -64,23 +66,22 @@ let results=[[ [ 1 ] ],
[ [ 1, 0, 0, 0 ], [ 0, 1, 0, 0 ], [ 0, 0, 1, 0 ], [ 0, 0, 0, 1 ] ]]
```
</div>
</section>
## Solution
<section id='solution'>
## --seed-contents--
```js
function idMatrix(n) {
return Array.apply(null, new Array(n)).map(function (x, i, xs) {
return xs.map(function (_, k) {
return i === k ? 1 : 0;
})
});
}
}
```
</section>
# --solutions--
```js
function idMatrix(n) {
return Array.apply(null, new Array(n)).map(function (x, i, xs) {
return xs.map(function (_, k) {
return i === k ? 1 : 0;
})
});
}
```