 # Reshape the Matrix

In MATLAB, there is a very useful function called 'reshape', which can reshape a matrix into a new one with different size but keep its original data.

You're given a matrix represented by a two-dimensional array, and two positive integers r and c representing the row number and column number of the wanted reshaped matrix, respectively.

The reshaped matrix need to be filled with all the elements of the original matrix in the same row-traversing order as they were.

If the 'reshape' operation with given parameters is possible and legal, output the new reshaped matrix; Otherwise, output the original matrix.

Example 1:

``````Input:
nums =
[[1,2],
[3,4]]
r = 1, c = 4
Output:
[[1,2,3,4]]
Explanation:
The row-traversing of nums is [1,2,3,4]. The new reshaped matrix is a 1 * 4 matrix, fill it row by row by using the previous list.
``````

Example 2:

``````Input:
nums =
[[1,2],
[3,4]]
r = 2, c = 4
Output:
[[1,2],
[3,4]]
Explanation:
There is no way to reshape a 2 * 2 matrix to a 2 * 4 matrix. So output the original matrix.
``````

Note:

The height and width of the given matrix is in range [1, 100].
The given r and c are all positive.

### Solution

``````/**
* @param {number[][]} nums
* @param {number} r
* @param {number} c
* @return {number[][]}
* @time complexity: O(m*n) where m and n refers to the number of rows and columns in the given matrix
* @space complexity: O(m*n)
*/
var matrixReshape = function(nums, r, c) {
if (nums.length === 0 || nums.length * nums.length !== r * c) {
return nums;
}

const res = new Array(r).fill(null).map(() => new Array(c));
let count = 0;

for (let i = 0; i < nums.length; i++) {
for (let j = 0; j < nums.length; j++) {
res[Math.floor(count / c)][count % c] = nums[i][j];
count++;
}
}

return res;
};
``````

### Alternative Solution

``````/**
* @param {number[][]} nums
* @param {number} r
* @param {number} c
* @return {number[][]}
* @time complexity: O(m*n) where m and n refers to the number of rows and columns in the given matrix
* @space complexity: O(m*n)
*/
var matrixReshapeWithModule = function(nums, r, c) {
if (nums.length === 0 || nums.length * nums.length !== r * c) {
return nums;
}

const res = new Array(r).fill(null).map(() => new Array(c));
let rIdx = 0;
let cIdx = 0;

for (let i = 0; i < nums.length; i++) {
for (let j = 0; j < nums.length; j++) {
res[rIdx][cIdx] = nums[i][j];
cIdx++;

if (cIdx === c) {
rIdx++;
cIdx = 0;
}
}
}

return res;
};
``````

### Test Case

``````const assert = require('chai').assert;

describe('Reshape Matrix', () => {

it('should return reshaped matrix', () => {
const original = [[1,2],[3,4]];
const result = matrixReshape(original, 1, 4);
assert.deepEqual(result, [[1,2,3,4]]);
});

it('should return original matrix', () => {
const original = [[1,2],[3,4]];
const result = matrixReshape(original, 2, 4);
assert.deepEqual(result, original);
});

});
``````
``````  Reshape Matrix
✓ should return reshaped matrix
✓ should return original matrix

2 passing (13ms)
`````` Mike Mai   Brooklyn, New York
I am full-stack web developer, passionate about building world class web applications. Knowledge in designing, coding, testing, and debugging. I love to solve problems.