MathDB
2017 PUMaC Team 7

Source:

September 20, 2019
combinatorics

Problem Statement

20172017 voters vote by submitting a ranking of the integers {1,2,...,38}\{1, 2, ..., 38\} from favorite (a vote for that value in 11st place) to least favorite (a vote for that value in 3838th/last place). Let aka_k be the integer that received the most kkth place votes (the smallest such integer if there is a tie). Find the maximum possible value of Σk=138ak\Sigma_{k=1}^{38} a_k.
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