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16 pieces of 1x 3 on a 7x7 chessboard

Source: 12th or 13th QEDMO problem 5 (11. - 15. 12. 2013) https://artofproblemsolving.com/community/c2400093_2013_qedmo_13th_or_12th

July 5, 2021
combinatorial geometrycombinatoricsChessboard

Problem Statement

1616 pieces of the shape 1×31\times 3 are placed on a 7×77\times 7 chessboard, each of which is exactly three fields. One field remains free. Find all possible positions of this field.
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