# Pidgey nests should be illegal!

**Number Theory**Level 4

I've discovered a new kind of bird in my park, which is called *Pidgey*. If you feed it with enough candies, it will grow into a larger bird called *Pidgeotto*.

For every Pidgey that you catch in the park, the groundskeeper Willow will award you with 3 candies.

For every Pidgey that you catch but return back to Willow, the groundskeeper will still reward you with 1 candy for your efforts.

For each Pidgey, you need precisely 62 candies in order for it to grow into a Pidgeotto.

If I have no Pidgey nor candies at the start, what is the minimum number of Pidgeys I need to catch in order to have enough candies to grow 10 Pidgeottos?

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