Largest Rectangle in Histogram — LeetCode 84 Python Solution

The problem

Given an array of integers heights representing the histogram's bar height where the width of each bar is 1, return the area of the largest rectangle in the histogram.

Example

Input

heights = [2,1,5,6,2,3]

Output

10

Explanation

The above is a histogram where width of each bar is 1.

Python solution

stk = []
for i in range(n):
    while stk and check(stk[-1], i):
        stk.pop()
    stk.append(i)

Complexity

Pattern: Stack

When the most recent unresolved thing is the one that matters, use a stack. LeetCode 84. Largest Rectangle in Histogram is filed here because LeetCode tags it Stack, which is the vocabulary this hub collects.

The stack guide has the Python template for the pattern and the 194 LeetCode problems that use it.

Related problems