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Problem 5 winning strategy

Source: PAMO 2017 Problem 5

July 5, 2017
combinatoricsgame strategy

Problem Statement

The numbers from 11 to 20172017 are written on a board. Deka and Farid play the following game : each of them, on his turn, erases one of the numbers. Anyone who erases a multiple of 2,32, 3 or 55 loses and the game is over. Is there a winning strategy for Deka ?