MathDB

In each square of a

4 \times 4

table a number

0

1

is written, such that the product of every two neighboring squares is

0

(neighboring by side).

a)

In how many ways is this possible to do if the middle

2\times 2

is filled with

4

zeros?

b)

In general, in how many ways is this possible to do (regardless of the middle

2 \times 2

Problem Statement