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Find the largest rectangle area for a given histogram using stack or other data structures.

+6 votes
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I was trying to get maximum rectangle area for a given histogram but I used brute force approach which have O(n^2) time complexity so I want some better solution using stack so that we could reduce time complexity to O(n) or O(log n ).

posted Jun 22, 2016 by Shivam Kumar Pandey

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Find total number of ways to make change using given set of coins

Given an infinite supply of coins of denominations {20,10,5,1}, find out total number of way to make change of given amount - 'n'?
For example, if given amount is 20, there are 10 ways to make this change as shown below -
(1 of 20),(1 of 10 + 2 of 5),(1 of 10 + 1 of 5 + 5 of 1),(1 of 10 + 10 of 1), (2 of 10), (1 of 5 + 15 of 1),(2 of 5 + 10 of 1),(3 of 5 + 5 of 1),(4 of 5),(20 of 1)

If the amount given is 0 then the total number of ways to make change is 1 - using 0 coins of every given denomination.

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