0%

leetcode题解85:最大矩形

描述

该题来自于力扣第85题

分析

有了力扣第84题题解,该题简单很多,仔细想想,如果将1的个数作为高度,然后求出最大矩形不就可以了,注意每一行往上数连续1的个数作为高度,然后对每一行求出最大矩形,最后求出全局最大值即可。

代码

1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
class Solution:
def maximalRectangle(self, matrix: List[List[str]]) -> int:
m, n = len(matrix), len(matrix[0])
for j in range(n):
matrix[0][j] = int(matrix[0][j])

for i in range(1, m):
for j in range(n):
if matrix[i][j] == '1':
matrix[i][j] = int(matrix[i-1][j]) + 1
else:
matrix[i][j] = 0

max_ = 0
for i in range(m):
max_ = max(self.largestRectangleArea(matrix[i]), max_)
return max_

def largestRectangleArea(self, heights: List[int]) -> int:
stack = []
heights.append(-1)
max_ = 0
for i in range(len(heights)):
while len(stack) > 0 and heights[stack[-1]] > heights[i]:
j = stack.pop()
if len(stack) == 0:
w = i
else:
w = i - stack[-1] - 1
max_ = max(max_, w * heights[j])

stack.append(i)
return max_