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Hungary-Israel Binational 2006_2

Source:

October 27, 2008
combinatorics unsolvedcombinatorics

Problem Statement

A block of size a×b×c a\times b\times c is composed of 1×1×2 1\times 1\times 2 domino blocks. Assuming that each of the three possible directions of domino blocks occurs equally many times, what are the possible values of a a, b b, c c?
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