"""
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?
"""


def main():
    coins = [1, 2, 5, 10, 20, 50, 100, 200]
    ways = [1] + [0] * 200

    for coin in coins:
        for i in range(coin, 201):
            ways[i] += ways[i - coin]

    print(f"\nThe number of ways to make £2 is {ways[200]:,d}")


if __name__ == "__main__":
    main()