Cells of a chessboard with distance 50
Source: All-Russian Olympiad 2008 9.5
June 14, 2008
analytic geometrycombinatorics proposedcombinatorics
Problem Statement
The distance between two cells of an infinite chessboard is defined as the minimum nuber to moves needed for a king for move from one to the other.One the board are chosen three cells on a pairwise distances equal to . How many cells are there that are on the distance from each of the three cells?