  The q-difference Painleve II equation admits special solutions written in
terms of determinant whose entries are the general solution of the q-Airy
equation. An ultradiscrete limit of the special solutions is studied by the
procedure of ultradiscretization with parity varialbes. Then we obtain new
Airy-type solutions of the ultradiscrete Painleve II equation with parity
variables, and the solutions have richer structure than the known solutions.
