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Kotlin-based LeetCode algorithm problem solutions, regularly updated
84\. Largest Rectangle in Histogram
Hard
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 1:**
![](https://assets.leetcode.com/uploads/2021/01/04/histogram.jpg)
**Input:** heights = [2,1,5,6,2,3]
**Output:** 10
**Explanation:** The above is a histogram where width of each bar is 1.
The largest rectangle is shown in the red area, which has an area = 10 units.
**Example 2:**
![](https://assets.leetcode.com/uploads/2021/01/04/histogram-1.jpg)
**Input:** heights = [2,4]
**Output:** 4
**Constraints:**
* 1 <= heights.length <= 105
* 0 <= heights[i] <= 104