MathDB

8\times 8

square is drawn on the board divided into

64

1\times1

squares by lines parallel to the sides. Gustavo erases some segments of length

1

so that every

1\times 1

square he erases

0, 1

2

sides. Gustavo states that he erased

6

segments of length

1

from the edge of the

8\times 8

square and that the amount of

1\times 1

squares that have exactly

1

side erased is equal to

5

. Decide if what Gustavo said it may be true.

Problem Statement