112 lines
2.5 KiB
Markdown
112 lines
2.5 KiB
Markdown
![]() |
---
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title: Zig-zag matrix
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id: 594810f028c0303b75339ad8
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localeTitle: 594810f028c0303b75339ad8
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challengeType: 5
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---
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## Description
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<section id='description'>
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Una matriz "zig-zag" es una disposición cuadrada de los primeros enteros de
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$ N ^ 2 $, donde los números
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aumentan secuencialmente a medida que zigzaguea a lo largo de los <a href="https://en.wiktionary.org/wiki/antidiagonal">anti-diagonales</a>
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la matriz.
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Por ejemplo, dado "'5"', produce esta matriz:
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<pre>
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0 1 5 6 14
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2 4 7 13 15
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3 8 12 16 21
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9 11 17 20 22
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10 18 19 23 24
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</pre>
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Escribe una función que tome el tamaño de la matriz en zig-zag y devuelva la matriz correspondiente a
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como una matriz bidimensional.
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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: ZigZagMatrix debe ser una función
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testString: 'assert.equal(typeof ZigZagMatrix, "function", "ZigZagMatrix must be a function");'
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- text: ZigZagMatrix debe devolver la matriz
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testString: 'assert.equal(typeof ZigZagMatrix(1), "object", "ZigZagMatrix should return array");'
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- text: ZigZagMatrix debe devolver una matriz de matrices de nidos
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testString: 'assert.equal(typeof ZigZagMatrix(1)[0], "object", "ZigZagMatrix should return an array of nestes arrays");'
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- text: 'ZigZagMatrix (1) debe devolver [[0]]'
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testString: 'assert.deepEqual(ZigZagMatrix(1), zm1, "ZigZagMatrix(1) should return [[0]]");'
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- text: 'ZigZagMatrix (2) debe devolver [[0, 1], [2, 3]]'
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testString: 'assert.deepEqual(ZigZagMatrix(2), zm2, "ZigZagMatrix(2) should return [[0, 1], [2, 3]]");'
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- text: ZigZagMatrix (5) debe devolver la matriz especificada
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testString: 'assert.deepEqual(ZigZagMatrix(5), zm5, "ZigZagMatrix(5) must return specified matrix");'
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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 ZigZagMatrix(n) {
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// Good luck!
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return [[], []];
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}
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```
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</div>
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### After Test
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<div id='js-teardown'>
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```js
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console.info('after the test');
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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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function ZigZagMatrix(n) {
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const mtx = [];
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for (let i = 0; i < n; i++) {
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mtx[i] = [];
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}
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let i = 1;
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let j = 1;
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for (let e = 0; e < n * n; e++) {
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mtx[i - 1][j - 1] = e;
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if ((i + j) % 2 === 0) {
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// Even stripes
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if (j < n) j++;
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else i += 2;
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if (i > 1) i--;
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} else {
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// Odd stripes
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if (i < n) i++;
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else j += 2;
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if (j > 1) j--;
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}
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}
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return mtx;
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}
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```
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</section>
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