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Game Theory 5.0/10

Placing Mutually Safe Queens

Two players alternately place a queen on an empty square of a 7×7 board so that it does not attack any queen already on the board. Two queens attack each other if they share a row, a column or a diagonal, whether or not other pieces lie between them. The player who cannot place a queen loses. Which player wins with optimal play? Answer 'the first player' or 'the second player'.

Related problems & prerequisites

Worth solving first

Source: Folklore combinatorial-game variant of the n-queens problem; no traceable original source. Statement written for AxiomIQ.