# ### # 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? # ### count = 0 def solve(coins): s = sum(coins) if s == 200: global count print(count, coins) count += 1 return if s > 200: return for coin in [200, 100, 50, 20, 10, 5, 2, 1]: if len(coins) != 0 and coins[-1] < coin: continue solve(coins + [coin]) solve([]) print(count)