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2022 SSMO Relay Round 5 Problems/Problem 1

Revision as of 13:12, 14 December 2023 by Pinkpig (talk | contribs) (Created page with "==Problem== Consider an <math>8\times 8</math> chessboard with a knight in one of the center squares. The knight may move in an <math>L</math>-shaped fashion, going two square...")
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Problem

Consider an $8\times 8$ chessboard with a knight in one of the center squares. The knight may move in an $L$-shaped fashion, going two squares in one direction and one square in a perpendicular direction, but cannot go outside the chessboard. How many squares can the knight reach in exactly two moves?

Solution

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