Reshape the Matrix

In MATLAB, there is a handy function called reshape which can reshape an m x n matrix into a new one with a different size r x c while keeping its original data.

You are given an m x n matrix mat and two integers r and c representing the number of rows and the number of columns of the wanted reshaped matrix.

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

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

Example 1
1 2
3 4
Inputmat = [[1,2],[3,4]], r = 1, c = 4
Output[[1,2,3,4]]
The 2 x 2 matrix has 4 elements, so it can be reshaped into a 1 x 4 matrix in row-traversing order.
Example 2
1 2
3 4
Inputmat = [[1,2],[3,4]], r = 2, c = 4
Output[[1,2],[3,4]]
The requested 2 x 4 matrix would require 8 elements, so the original matrix is returned.

Constraints

  • m == mat.length
  • n == mat[i].length
  • 1 <= m, n <= 100
  • -1000 <= mat[i][j] <= 1000
  • 1 <= r, c <= 300

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