4 pudding moving on a square form square with side 2
Source: IMOC 2017 C2
August 12, 2021
combinatoricsgeometrycombinatorial geometryInvariants
Problem Statement
On a large chessboard, there are puddings that form a square with size . A pudding could jump over a pudding , or equivalently, moves to the symmetric point with respect to . Is it possible that after finite times of jumping, the puddings form a square with size ?