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54 lines
1.1 KiB
Python
54 lines
1.1 KiB
Python
# -*- coding: utf-8 -*-
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from __future__ import print_function
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try:
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raw_input # Python 2
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except NameError:
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raw_input = input # Python 3
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'''
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Coin sums
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Problem 31
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In England the currency is made up of pound, £, and pence, p, and there are
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eight coins in general circulation:
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1p, 2p, 5p, 10p, 20p, 50p, £1 (100p) and £2 (200p).
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It is possible to make £2 in the following way:
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1×£1 + 1×50p + 2×20p + 1×5p + 1×2p + 3×1p
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How many different ways can £2 be made using any number of coins?
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'''
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def one_pence():
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return 1
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def two_pence(x):
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return 0 if x < 0 else two_pence(x - 2) + one_pence()
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def five_pence(x):
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return 0 if x < 0 else five_pence(x - 5) + two_pence(x)
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def ten_pence(x):
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return 0 if x < 0 else ten_pence(x - 10) + five_pence(x)
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def twenty_pence(x):
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return 0 if x < 0 else twenty_pence(x - 20) + ten_pence(x)
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def fifty_pence(x):
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return 0 if x < 0 else fifty_pence(x - 50) + twenty_pence(x)
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def one_pound(x):
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return 0 if x < 0 else one_pound(x - 100) + fifty_pence(x)
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def two_pound(x):
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return 0 if x < 0 else two_pound(x - 200) + one_pound(x)
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print(two_pound(200))
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