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Set Matrix Zeroes

Problem​

Given an m x n integer matrix matrix, if an element is 0, set its entire row and column to 0's.

You must do it in place.

Solution Approach​

Expected Time complexity: O(n3)O(n^3)

Click - to see solution code
class Solution {
   public:
    void setZeroes(vector<vector<int>>& matrix){
        vector<vector<int>> a = matrix;
        int n = matrix.size();
        int m = matrix[0].size();
        
        for (int i = 0; i < n; i++) {
            for (int j = 0; j < m; j++) {
                if (matrix[i][j] == 0) {
                    for (int k = 0; k < n; k++) a[k][j] = 0;
                    for (int k = 0; k < m; k++) a[i][k] = 0;
                }
            }
        }
        matrix = a;
    }
};