84. Largest Rectangle in Histogram
Hard
50 Points
Array
Stack
Monotonic Stack
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 <= 1050 <= heights[i] <= 104
84. Largest Rectangle in Histogram
Hard
50 Points
Array
Stack
Monotonic Stack
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 <= 1050 <= heights[i] <= 104