Let’s take a last stab at our beer-delivery problem. We tried out a Sieve, we used the Microsoft Solver – time for some recursion.

How can we organize our recursion?

If we had only 1 type of beer pack, say, 7-packs, the best way to supply *n* bottles of beer is to supply the closest integer greater than n/7, that is, $$\lceil {n \over 7} \rceil$$

If we had 7-packs and 13-packs, we need to consider multiple possibilities. We can select from 0 to the ceiling of n/7 7-packs, and, now that we have only one type of case pack left, apply the same calculation as previously to the remaining bottles we need to supply – and select the best of the combinations, that is, the combination of beer packs closest to the target.

If we had even more types of beer packs available, we would proceed the same way, by trying out the possible quantities for the first pack, and given the first, for the second, and so on until we reach the last type of pack – which is pretty much the outline of a recursive algorithm.

## Comments

- Create an Excel 2007 VSTO add-in: adding a WPF control (14)
- Management, the Gordon Ramsay way (4)
- How dense is the product of Sparse Matrices? (5)
- Testing and mocking your C# code with F# (5)

Comment RSSHealthy Weight Loss Tips After Pregnancy wrote: This could possibly be enough to help you fit comf... [More]

maximum shred reviews wrote: You really make it seem so easy with your presenta... [More]

How To Reverse Aging wrote: Hello, I enjoy reading all of your article. I want... [More]

thetaoofbadassus.tumblr.com wrote: I have read so many articles about the blogger lov... [More]