HMMT 2018 U19
- Guts
- Answer
Suppose there are 100 cookies arranged in a circle, and 53 of them are chocolate chip, with the remainder being oatmeal. Pearl wants to choose a contiguous subsegment of exactly 67 cookies and wants this subsegment to have exactly chocolate chip cookies. Find the sum of the for which Pearl is guaranteed to succeed regardless of how the cookies are arranged.
Dataset text NuminaMath olympiads. Quoted with source.
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71
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