Project Euler Problem 031
Statement
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?
Solution
For this solution what is needed is dynamic programming, is one of the most popular of ways
of using dynamic programming.
if __name__ == '__main__': amounts = [0 for x in range(201)] notes = [1, 2, 5, 10, 20, 50, 100, 200] for note in notes: amounts[note] += 1 index = note + 1 while index < len(amounts): amounts[index] += amounts[index - note] index += 1 print("The result is:", amounts[200])
The Python file is available for download here.
