Problem 60541. Compute the number of squares a knight can reach after n moves

Several Cody problems involve knights from chess. They have asked players to find a knight’s tour in a matrix (CP 96), determine whether points are reachable given the moves of a knight and other pieces (CP 1684), calculate the probability that a knight will remain on a chessboard after a given number of moves (CP 45389), determine the number of moves to reach a destination (CP 45433), find when a knight not allowed to revisit squares will be trapped (CP 54780), and list the squares that a knight can reach after one move (CP 57660).
This problem involves the number of squares on an infinite chessboard that a knight can reach. If the knight starts on the pink square below, then it can reach the eight squares marked “1” after one move and the 33 squares marked “2” after two moves.
Write a function to compute the number of squares that a knight can reach after n moves.
Positions reachable by a knight after 1 and 2 moves
Solve

Solution Stats

88.89% Correct | 11.11% Incorrect
Last Solution submitted on Jul 26, 2025

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