KMO 2010 Problem 5
On a circular table are sitting people, equally spaced in between. cookies are given to these people, and they give cookies to their neighbors according to the following rule.
(i) One may give cookies only to people adjacent to himself. (ii) In order to give a cookie to one's neighbor, one must eat a cookie.
Select arbitrarily a person sitting on the table. Find the minimum value such that there is a strategy in which can eventually receive a cookie, independent of the distribution of cookies at the beginning.
Dataset text AI-MO AoPS. Quoted with source.
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