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PAMO 2017 Problem 5

  • Day 2

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 ?

Dataset text AI-MO AoPS. Quoted with source.

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