• Author: Colin Hughes
• Filename: Euler031.java

# Project Euler

## Coin Sums

### Problem 31

In England the currency is made up of pound,£, and pence, p, and there are eight coins in general circulation:

1p, 2p, 5p, 10p, 20p, 50p, £1 (100p) and £2 (200p).

It is possible to make £2 in the following way:

1×£1 + 1×50p + 2×20p + 1×5p + 1×2p + 3×1p

How many different ways can £2 be made using any number of coins?

If you want, you can view this problem at Project Euler instead.

## What You Should Do on Your Own

Assignments turned in without these things will not receive any points.

1. After your program is done and working, add a comment at the top containing the final answer. If your program does not produce the correct answer in a reasonable amount of time, you will not receive points for this assignment.

It is not too hard to get this working using a bunch of nested `for` loops, but it will be very slow if you don't pay attention to efficiency. Try not to waste the computer's time running loops that can never result in a possible solution.
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