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# 85. Maximal Rectangle
"""
given a 'rows * cols' binary 'matrix' filled with 0's and 1's, find the
largest rectangle containing only 1's and return its area.
"""
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 range(n):
height[i] = height[i] + 1 if row[i] == "1" else 0
stack = [-1]
for i in range(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
if __name__ == "__main__":
obj = Solution()
print(
obj.maximalRectangle(
matrix=[
["1", "0", "1", "0", "0"],
["1", "0", "1", "1", "1"],
["1", "1", "1", "1", "1"],
["1", "0", "0", "1", "0"],
]
)
)
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