olymmath

RU-ALLRUSSIAN 1987 Problem 6

    An L is an arrangement of 3 adjacent unit squares formed by deleting one unit square from a 2 x 2 square. How many Ls can be placed on an 8 x 8 board (with no interior points overlapping)? Show that if any one square is deleted from a 1987 x 1987 board, then the remaining squares can be covered with Ls (with no interior points overlapping).

    Dataset text NuminaMath olympiads. Quoted with source.

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