olymmath

BALTIC-WAY 2012 Problem 6

    There are 2012 lamps arranged on a table. Two persons play the following game. In each move the player flips the switch of one lamp, but he must never get back an arrangement of the lit lamps that has already been on the table. A player who cannot move loses. Which player has a winning strategy?

    Dataset text NuminaMath olympiads. Quoted with source.

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