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Naoki and Richard in turn put chips in free squares

Source: Tuymaada 2009, Junior League, First Day, Problem 1

July 19, 2009
geometrygeometric transformationcombinatorics unsolvedcombinatorics

Problem Statement

All squares of a 20×20 20\times 20 table are empty. Misha* and Sasha** in turn put chips in free squares (Misha* begins). The player after whose move there are four chips on the intersection of two rows and two columns wins. Which of the players has a winning strategy? Proposed by A. Golovanov US Name Conversions: Misha*: Naoki Sasha**: Richard