IMO 1985 LL CAN15

Superchess is played on on a 12 imes 12 board, and it uses su-

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IMO 1985 LL CAN15

Origin: CAN

Problem

Superchess is played on on a 12 \times 12 board, and it uses su- perknights, which move between opposite corner cells of any 3\times4 subboard. Is it possible for a superknight to visit every other cell of a superchessboard exactly once and return to its starting cell?