Let Z , be the set of all integers, \(A=\left{\left(x,y\right)\in Z\times Z:{\left(x-2\right)}^{2}+{y}^{2}\leq 4\right}\…

Let Z, be the set of all integers,

\(A=\left{\left(x,y\right)\in Z\times Z:{\left(x-2\right)}^{2}+{y}^{2}\leq 4\right}\\ B=\left{\left(x,y\right)\in Z\times Z:{x}^{2}+{y}^{2}\leq 4\right}\\ C=\left{\left(x,y\right)\in Z\times Z:{\left(x-2\right)}^{2}+{(y-2)}^{2}\leq 4\right}\)

If the total number of relations from \(A\cap B\) to \(A\cap C\) is 2^p, then the value of p is: