KöMaL 2020 B5122
ErWin Layup is the best penalty taker of all times in the basketball league of Nowhereland. Although he missed the very first penalty throw of his career, altogether he has only missed 2020 out of his total of throws. Statisticians in Nowhereland consider a basketball penalty throw interesting if the ratio of successful penalty throws to all penalty throws, calculated immediately after the throw and expressed as a percentage, is a positive integer. (For example, if a player scores 12 out of a total of 40 throws then his last throw is interesting, since , while the following throw, which is the 41st, cannot be interesting, whether successful or not.) What is the minimum number of interesting penalty throws that ErWin Layup may have had?
Official text KöMaL. Quoted with source.
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