Coin sums
Problem 31
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?
coins = [200, 100, 50, 20, 10, 5, 2, 1]
def calculate_ways(money, max_coin):
money_sum = 0
if max_coin == 7:
return 1
index = max_coin
while index < 8:
if money - coins[index] == 0:
money_sum += 1
if money - coins[index] > 0:
money_sum += calculate_ways(money - coins[index], index)
index += 1
return money_sum
def run():
return calculate_ways(200, 0)