LeetCode-Set Matrix Zeroes

Given a m x n matrix, if an element is 0, set its entire row and column to 0. Do it in place.

Follow up:

Did you use extra space?
A straight forward solution using O(mn) space is probably a bad idea.
A simple improvement uses O(m + n) space, but still not the best solution.
Could you devise a constant space solution?

class Solution {
public:
    void setZeroes(vector<vector<int> > &matrix) {
        // Start typing your C/C++ solution below
        // DO NOT write int main() function
        vector<int> zeroRow(matrix.size());
        vector<int> zeroCol(matrix[0].size());
        for(int i=0;i<matrix.size();i++)zeroRow[i]=0;
        for(int j=0;j<matrix[0].size();j++)zeroCol[j]=0;
            
        for(int i=0;i<matrix.size();i++){
            for(int j=0;j<matrix[i].size();j++)
            {
                if(matrix[i][j]==0){
                    zeroRow[i]=1;
                    zeroCol[j]=1;
                }
            }
        }
        for(int i=0;i<matrix.size();i++){
            for(int j=0;j<matrix[i].size();j++)
            {
                if(zeroRow[i]==1||
                zeroCol[j]==1)
                matrix[i][j]=0;
            }
        }
    }
};
//常数空间占用请使用第一列及第一行