572. Largest Rectangle in Histogram
0
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.


Input Format
First Line contains size of input array
Second Line contains Array
Second Line contains Array
Output Format
Print Largest Area
Example
Input
6
2 1 5 6 2 3
Output
10
Constraints
1 <= heights.length <= 105
0 <= heights[i] <= 104
0 <= heights[i] <= 104
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