MathDB
Fence of squares

Source: Brazil National Olympiad 2019 - level 2 - #5

November 23, 2019
combinatoricsBrazilian Math Olympiad

Problem Statement

In the picture below, a white square is surrounded by four black squares and three white squares. They are surrounded by seven black squares. https://i.stack.imgur.com/Dalmm.png What is the maximum number of white squares that can be surrounded by n n black squares?