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Project Euler 31

  • 問題

Problem 31:Coin sums
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?

  • 解答例
way = [0] * 201
way[0] = 1
coin = [1, 2, 5, 10, 20, 50, 100, 200]

for c in coin:
    for w in range(c, 201):
        way[w] += way[w - c]
print(way[200])