Table 2n+1 x 2n+1
Source: Moldova NMO 2002 grade 10 problem nr.4
November 3, 2008
Problem Statement
In each line and column of a table (2n \plus{} 1)\times (2n \plus{} 1) are written arbitrarly the numbers 1,2,...,2n \plus{} 1. It was constated that the repartition of the numbers is symmetric to the main diagonal of this table. Prove that all the numbers on the main diagonal are distinct.