Problem 31 - Investigating combinations of English currency denominations.

링크

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 + 150p + 220p + 15p + 12p + 31p

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

python - dynamic programming

items = [1, 2, 5, 10, 20, 50, 100, 200] mem = [0] * 201 mem[0] = 1 for item in items: for m in range(item, 201): mem[m] += mem[m-item] print mem[200]