MathDB
TOT 1998 Autumn OS3 Knight moves on 17 marked cells of 8x8 chessboard

Source:

May 11, 2020
combinatoricsChessboard

Problem Statement

On an 8×88 \times 8 chessboard, 1717 cells are marked. Prove that one can always choose two cells among the marked ones so that a Knight will need at least three moves to go from one of the chosen cells to the other.
(R Zhenodarov)