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4

Part of 2010 CentroAmerican

Problems(1)

Centroamerican Olympiad 2010, problem 4

Source:

5/30/2010
Find all positive integers NN such that an N×NN\times N board can be tiled using tiles of size 5×55\times 5 or 1×31\times 3.
Note: The tiles must completely cover all the board, with no overlappings.
combinatorics proposedcombinatorics