Problem #PRU-64519

Problems Set theory and logic Mathematical logic Mathematical logic (other)

Problem

Author: D.V. Baranov

Vlad and Peter are playing the following game. On the board two numbers written are: $1 / 2009$ and $1 / 2008$ . At each turn, Vlad calls any number $x$ , and Peter increases one of the numbers on the board (whichever he wants) by $x$ . Vlad wins if at some point one of the numbers on the board becomes equal to 1. Will Vlad win, no matter how Peter acts?

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