Flipped Cell

public class FlippedCell {

    public static void main(String[] args) {
        int j;
        int[][] matrix = {
                {1,1,1,1,0,0},
                {0,0,1,1,1,1},
                {0,0,1,1,0,0},
                {1,1,0,0,1,1},
                {1,0,0,1,1,1},
                {1,0,1,0,1,1}
        };
        for (int i=0; i<matrix.length; i++) {
            for (j=0; j<matrix[i].length; j++) {
                System.out.print(matrix[i][j]+" ");
            }
            System.out.println();
        }
        System.out.println();
        int a=0;
        int b=0;

        int x =(int)(Math.random()*6);
        int y =(int)(Math.random()*6);
        if (matrix[x][y]==1)
            matrix[x][y]=0;
        else
            matrix[x][y] = 1;

        // find the row number that is not even 1's
        for (int i=0; i<matrix.length; i++) {
            int rowSum=0;
            for( j=0; j<matrix[i].length; j++) {
                rowSum+=matrix[i][j];
            }
                if (rowSum%2!=0) {
                    a=i;
                    b=j;// a column addition must occur
                }

        }
            for (int i=0; i<matrix.length; i++) {
                for (j=0; j<matrix[i].length; j++) {
                    System.out.print(matrix[i][j]+" ");
                }
                System.out.println();
            }

            System.out.println("The flipped cell occurs at "+ a+", "+b);
    }

}