  We present a p-adic and non-archimdean version of the Five Islands Theorem
for meromorphic functions from Ahlfors' theory of covering surfaces. In the
non-archimedean setting, the theorem requires only four islands, with explicit
constants. We present examples to show that the constants are sharp and that
other hypotheses of the theorem cannot be removed. This paper extends an
earlier theorem of the author for holomorphic functions.
