<reponame>Max-Peterson/Project-Euler
#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?


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]

print ("Ways to make change =", ways[target])


#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?


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]

print ("Ways to make change =", ways[target])
#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?