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Cents in glasses

Source: St Petersburg Olympiad 2013, Grade 9, P4

October 13, 2017
combinatorics

Problem Statement

There are 100100 glasses, with 101,102,...,200101,102,...,200 cents.Two players play next game. In every move they can take some cents from one glass, but after move should be different number of cents in every glass. Who will win with right strategy?
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