Largest Rectangle in Histogram
Given a histogram, find the area of the largest rectangle that fits within it.
Input format
The first line contains N. The second line contains N non-negative bar heights (width 1 each).
Output format
Print the area of the largest rectangle that fits inside the histogram.
Constraints
- Values fit in a 64-bit signed integer
- Trailing whitespace and a trailing newline are ignored by the judge
Read from stdin, write to stdout. Sample cases below show the exact format.
Sample cases
Example 1
Input
6
2 1 5 6 2 3Expected output
10Example 2
Input
2
2 4Expected output
4