Problem031.py

"""
In the United Kingdom the currency is made up of pound (£) and pence (p). 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?
"""
from time import time



target = 5
coins = [1, 2, 5, 10, 20, 50, 100, 200]



start_time = time()
#Project Euler Problem 31

target = 200
coins = [1, 2, 5, 10, 20, 50, 100, 200]
ways = [1] + [0]*target

for coin in coins:
    for i in range(coin, target+1):
        ways[i] += ways[i-coin]

result = ways[-1]
final_time = time()


print(result)