numbers in 6x6 board
Source: (2021-) 2022 XV 15th Dürer Math Competition Finals Day 2 E13
December 12, 2022
combinatorics
Problem Statement
Write some positive integers in the following table such that
there is at most one number in each field
each number is equal to how many numbers there are in edge-adjacent fields,
edge-adjacent fields cannot have equal numbers.
What is the sum of numbers in the resulting table?
https://cdn.artofproblemsolving.com/attachments/a/9/63a9c38762a4c895688fff049ed08c96b2c22c.png