Consider the pushdown automaton (PDA) embodied by the diagram below, which accepts by final state. Let us denote this PDA by P1. The PDA P1 has states {1,2}, alphabet symbols {a,b}, stack symbols {#,a,b}, transitions as depicted in the diagram, start state 1, initial stack symbol # and final state 2. Select all of the words below (from 1 to 6) which are accepted by P1.

Words:

1. aaabb