max no of pieces, same perimeter, chessboard (2020 Novosibirsk Oral Geo Oly 8.2)
Source:
May 20, 2021
geometryperimeterChessboardcombinatorics
Problem Statement
Vitya cut the chessboard along the borders of the cells into pieces of the same perimeter. It turned out that not all of the received parts are equal. What is the largest possible number of parts that Vitya could get?