LeetCode - Set Matrix Zeroes

Question Definition

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?

Java Solution

public void setZeroes(int[][] matrix) {
    boolean iZero = false;
    for(int i = 0; i < matrix.length; i++){
        if(matrix[i][0] == 0){
            iZero = true;
            break;
        }
    }
    boolean jZero = false;
    for(int j = 0; j < matrix[0].length; j++){
        if(matrix[0][j] == 0){
            jZero = true;
            break;
        }
    }

    for(int i = 1; i < matrix.length; i++){
        for(int j = 1; j < matrix[i].length; j++){
            if(matrix[i][j] == 0){
                matrix[i][0] = 0;
                matrix[0][j] = 0;
            }
        }
    }

    for(int i = 1; i < matrix.length; i++){
        for(int j = 1; j < matrix[i].length; j++){
            if (matrix[0][j] == 0 || matrix[i][0] == 0) {
                matrix[i][j] = 0;
            }
        }
    }
    if (iZero) {
        for (int i = 0; i < matrix.length; ++i) matrix[i][0] = 0;
    }
    if (jZero) {
        for (int i = 0; i < matrix[0].length; ++i) matrix[0][i] = 0;
    }
}

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