this post was submitted on 30 May 2025
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seems like the problem is not well defined, because it might also be possible to drill a whole pigeon away, given a sufficient number of large enough holes.
I disagree. A hole is only a hole when it has an uninterrupted "edge".
Drilling "two" holes that touch makes them just one (larger) hole.
As such, if you were to drill the entire pigeon away you haven't actually created a single hole. There is no pigeon anymore so there is no hole.
If we were to only allow drilling valid holes (holes that have an uninterrupted edge) then you cannot ever drill a whole pigeon away.