85. Maximal Rectangle

2019-06-09

85. Maximal Rectangle

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

Example:

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Input:
[
  ["1","0","1","0","0"],
  ["1","0","1","1","1"],
  ["1","1","1","1","1"],
  ["1","0","0","1","0"]
]
Output: 6

Code:

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class Solution(object):
    def maximalRectangle(self, matrix):
        """
        :type matrix: List[List[str]]
        :rtype: int
        """
        if not matrix or not matrix[0]:
            return 0
        n = len(matrix[0])
        height = [0] * (n + 1)
        ans = 0
        for row in matrix:
            for i in xrange(n):
                height[i] = height[i] + 1 if row[i] == '1' else 0
            stack = [-1]
            for i in xrange(n + 1):
                while height[i] < height[stack[-1]]:
                    h = height[stack.pop()]
                    w = i - 1 - stack[-1]
                    ans = max(ans, h * w)
                stack.append(i)
        return ans
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