VJIMC 2015 Category I, Problem 2
Source: VJIMC2015
August 10, 2015
college contests
Problem Statement
Problem 2
Consider the infinite chessboard whose rows and columns are indexed by positive integers. Is it
possible to put a single positive rational number into each cell of the chessboard so that each positive rational
number appears exactly once and the sum of every row and of every column is finite?