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February 27, 2015

February 27, 2015

Posted by **Anonymous** on Thursday, August 8, 2013 at 8:18am.

A cycle is a sequence of squares which start and end at the same square, and traces out a valid path that the crippled rook can move according to the rules above. A non-intersecting cycle consists of pairwise distinct squares, with the sole exception of the starting and ending square.

What is the length of the longest possible cyclic, non-intersecting route of a crippled rook on a 15×15 chessboard?

Details and assumptions

The length of the route is the number of squares that the rook travels on.

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