Largest Rectangle in a Histogram Largest Rectangle in a Histogram
Simple
English RU

"Your power to choose can never be taken from you.
It can be neglected and it can be ignored.
But if used, it can make all the difference."
― Steve Goodier

You have a histogram. Try to find size of the biggest rectangle you can build out of the histogram bars.

Input: List of all rectangles heights in histogram

Output: Area of the biggest rectangle

Example:

largest_histogram([5]) == 5
largest_histogram([5, 3]) == 6
largest_histogram([1, 1, 4, 1]) == 4
largest_histogram([1, 1, 3, 1]) == 4
largest_histogram([2, 1, 4, 5, 1, 3, 3]) == 8

How it is used: There is no way the solution you come up with will be any useful in a real life. Just have some fun here.

Precondition:
0 < len(data) < 1000