2016 JBMO Problems/Problem 4


A $5 \times 5$ table is called regular if each of its cells contains one of four pairwise distinct real numbers,such that each of them occurs exactly one in every $2 \times 2$ 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.


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2016 JBMO (ProblemsResources)
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