benchmarks.wiki / Public workspace
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Omni-MATH / Suppose there are 100 cookies arranged in a circle, and 53 of them are chocolate…
Problem
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problem
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.
Plain-text mathematical notation (without MathML)
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 k chocolate chip cookies. Find the sum of the k for which Pearl is guaranteed to succeed regardless of how the cookies are arranged.
Original LaTeX notation
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 \(k\) chocolate chip cookies. Find the sum of the \(k\) for which Pearl is guaranteed to succeed regardless of how the cookies are arranged.
Discussion
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Source and history
- task_id
ce18e89d-3cbf-592d-a062-75bf5edfa0c9- task_key
test--ce18e89d-3cbf-592d-a062-75bf5edfa0c9- task_revision_id
- 1
- config / split
- / test
initial import