Let Z be the set of all integers,$A = \{ (x,y) \in Z \times Z:{(x - 2)^2} + {y^2} \le 4\} $, $B = \{ (x,y) \in Z \times Z:{x^2} + {y^2} \le 4\} $, $C = \{ (x,y) \in Z \times Z:{(x - 2)^2} + {(y - 2)^2} \le 4\} $, If the total number of relation from A $\cap$ B to A $\cap$ C is 2^p, then the value of p is :