Difference between revisions of "2022 SSMO Relay Round 3 Problems"
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Latest revision as of 21:57, 31 May 2023
Problem 1
Let be a function such that and if . Moreover, for all . Let be the number of possible sequences . Find the remainder when is divided by 1000.
Problem 2
Let TNYWR. In cyclic quadrilateral and If is a positive integer, find twice the median of all (not necessarily distinct) possible values of .
Problem 3
Let TNYWR. Let be a polynomial of degree 10, such that for all and . Find the remainder when is divided by .