MathDB

Two distinct squares of the

8\times8

chessboard

C

are said to be adjacent if they have a vertex or side in common. Also,

g

is called a

C

-gap if for every numbering of the squares of

C

with all the integers

1, 2, \ldots, 64

there exist twoadjacent squares whose numbers differ by at least

g

. Determine the largest

C

-gap

g

Problem Statement