112 lines
2.7 KiB
Markdown
112 lines
2.7 KiB
Markdown
---
|
||
title: Zig-zag matrix
|
||
id: 594810f028c0303b75339ad8
|
||
challengeType: 5
|
||
forumTopicId: 302348
|
||
localeTitle: Зигзагообразная матрица
|
||
---
|
||
|
||
## Description
|
||
<section id='description'>
|
||
Массив «зиг-зага» квадратное расположение первого $ N ^ 2 $, где целых число увеличения последовательно , как вы зигзагообразный вдоль массива <a href="https://en.wiktionary.org/wiki/antidiagonal">анти-диагоналей</a> . Например, с учетом «5», создайте этот массив: <pre> 0 1 5 6 14
|
||
2 4 7 13 15
|
||
3 8 12 16 21
|
||
9 11 17 20 22
|
||
10 18 19 23 24
|
||
</pre> Напишите функцию, которая принимает размер матрицы зигзага, и возвращает соответствующую матрицу в виде двумерного массива.
|
||
</section>
|
||
|
||
## Instructions
|
||
<section id='instructions'>
|
||
Write a function that takes the size of the zig-zag matrix, and returns the corresponding matrix as two-dimensional array.
|
||
</section>
|
||
|
||
## Tests
|
||
<section id='tests'>
|
||
|
||
```yml
|
||
tests:
|
||
- text: ZigZagMatrix must be a function
|
||
testString: assert.equal(typeof ZigZagMatrix, 'function');
|
||
- text: ZigZagMatrix should return array
|
||
testString: assert.equal(typeof ZigZagMatrix(1), 'object');
|
||
- text: ZigZagMatrix should return an array of nested arrays
|
||
testString: assert.equal(typeof ZigZagMatrix(1)[0], 'object');
|
||
- text: ZigZagMatrix(1) should return [[0]]
|
||
testString: assert.deepEqual(ZigZagMatrix(1), zm1);
|
||
- text: ZigZagMatrix(2) should return [[0, 1], [2, 3]]
|
||
testString: assert.deepEqual(ZigZagMatrix(2), zm2);
|
||
- text: ZigZagMatrix(5) must return specified matrix
|
||
testString: assert.deepEqual(ZigZagMatrix(5), zm5);
|
||
|
||
```
|
||
|
||
</section>
|
||
|
||
## Challenge Seed
|
||
<section id='challengeSeed'>
|
||
|
||
<div id='js-seed'>
|
||
|
||
```js
|
||
function ZigZagMatrix(n) {
|
||
// Good luck!
|
||
return [[], []];
|
||
}
|
||
|
||
```
|
||
|
||
</div>
|
||
|
||
### After Tests
|
||
<div id='js-teardown'>
|
||
|
||
```js
|
||
const zm1 = [[0]];
|
||
const zm2 = [[0, 1], [2, 3]];
|
||
const zm5 = [
|
||
[0, 1, 5, 6, 14],
|
||
[2, 4, 7, 13, 15],
|
||
[3, 8, 12, 16, 21],
|
||
[9, 11, 17, 20, 22],
|
||
[10, 18, 19, 23, 24]
|
||
];
|
||
|
||
```
|
||
|
||
</div>
|
||
|
||
</section>
|
||
|
||
## Solution
|
||
<section id='solution'>
|
||
|
||
```js
|
||
function ZigZagMatrix(n) {
|
||
const mtx = [];
|
||
for (let i = 0; i < n; i++) {
|
||
mtx[i] = [];
|
||
}
|
||
|
||
let i = 1;
|
||
let j = 1;
|
||
for (let e = 0; e < n * n; e++) {
|
||
mtx[i - 1][j - 1] = e;
|
||
if ((i + j) % 2 === 0) {
|
||
// Even stripes
|
||
if (j < n) j++;
|
||
else i += 2;
|
||
if (i > 1) i--;
|
||
} else {
|
||
// Odd stripes
|
||
if (i < n) i++;
|
||
else j += 2;
|
||
if (j > 1) j--;
|
||
}
|
||
}
|
||
return mtx;
|
||
}
|
||
```
|
||
|
||
</section>
|