Question 102
Agnese, Beatrice, Claudio and Dario play with 53 piles of coins, all of different sizes. On each turn a player removes one coin from a pile. A player loses if this makes its size equal to another pile. Piles may contain 0 coins; two empty piles count as equal. They play in the repeating order Agnese, Beatrice, Claudio, Dario. Initially there are 2020 coins in total. With optimal play, who loses?
(A)Agnese
(B)Beatrice
(C)Claudio
(D)Dario
(E)The data do not determine it
(A)Agnese
(B)Beatrice
(C)Claudio
(D)Dario
(E)The data do not determine it