# Cupidinous Convivial Country

Logic Level 3

The currency of United Kingdom (UK) is called pounds (£), with 1 pound equivalent to 100 pennies ($$p$$). The denomination of the coins are: $$1p, 2p, 5p, 10p, 20p, 50p$$. The minimum coins I needed to carry so that I could make any value from $$1p$$ to $$99p$$ is 8.

Now suppose the currency of a fictitous country next to the UK is called dounds, with 1 dound is equivalent to 100 antidisestablishmentarianism ($$a$$). This country has a ridiculous denomination of coins, namely: $$1a, 3a, 13a, 53a, 93a$$. What is the minimum number of coins I needed to carry so that I could make any value from $$1a$$ to $$99a$$?

###### Image Credit: Wikimedia British coinage reverse designs 2015.
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