olymmath

RU-ALLRUSSIAN 1979 Problem 7

    What is the smallest number of pieces that can be placed on an 8x88\mathrm{x}8 chessboard so that every row, column and diagonal has at least one piece? [A diagonal is any line of squares parallel to one of the two main diagonals, so there are 30 diagonals in all.] What is the smallest number for an n x n board?

    Dataset text NuminaMath olympiads. Quoted with source.

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