max last number , 1-16 in 4x4 board May Olympiad (Olimpiada de Mayo) 2018 L2 P2
Source:
September 24, 2021
gamecombinatorics
Problem Statement
On a board the numbers from to are written, one in each box. Andres and Pablo choose four numbers each. Andrés chooses the biggest of each row and Pablo, the biggest of each column. The same number can be chosen by both. Then they are removed from the board all chosen numbers. What is the greatest value that the sum of the numbers can have what are left on the board?