JBMO 2016 Problem 4
Source:
June 26, 2016
combinatorics
Problem Statement
A table is called regular f each of its cells contains one of four pairwise distinct real numbers,such that each of them occurs exactly one in every subtable.The sum of all numbers of a regular table is called the total sum of the table.With any four numbers,one constructs all possible regular tables,computes their total sums and counts the distinct outcomes.Determine the maximum possible count.