Leetcode 85. Maximal Rectangle

Posted 2023-02-04 zhangwj0101

Question

Given a 2D binary matrix filled with 0’s and 1’s, find the largest rectangle containing all ones and return its area.

Code

 public int maximalRectangle(char[][] matrix) 
        if (matrix == null || matrix.length == 0 || matrix[0].length == 0) 
            return 0;
        

        int rows = matrix.length;
        int cols = matrix[0].length;

        int[][] h = new int[rows][cols];

        int max = 0;

        for (int i = 0; i < rows; i++) 
            for (int j = 0; j < cols; j++) 

                h[i][j] = matrix[i][j] == '1' ? 1: 0;

                if (i != 0 && h[i][j] != 0) 
                    h[i][j] = h[i - 1][j] + 1;
                

                if (j == cols - 1) 
                    max = Math.max(max, maxArea(h[i]));
                
            
        

        return max;
    

    public int maxArea(int[] h) 
        Stack<Integer> s = new Stack<Integer>();

        int max = 0;
        int i = 0;

        // 注意，这里使用<= 因为当i到达最后，需要计算一次。
        while (i <= h.length) 
            // 
            if (s.isEmpty() || i < h.length && h[i] >= h[s.peek()]) 
                s.push(i);
                i++;
             else 
                int height = h[s.pop()];
                int width = s.isEmpty() ? i: i - s.peek() - 1;
                max = Math.max(max, height * width);
            
        

        return max;