Largest Rectangle in Histogram

Hard

Largest Rectangle in Histogram

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.

Examples

Example 1:

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:

Input: heights = [2,4] Output: 4

Constraints

  • 1 <= heights.length <= 10^5
  • 0 <= heights[i] <= 10^4
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