Problem 6.1: Consider the pushdown automaton with the following tran sition rules: 1. (q,0,Z0)={(q,XZ0)} 2. (q,0,X)={(q,XX)} 3. (q,1,X)={(q,X)} 4. (q,,X)={(p,)} 5. (p,,X)={(p,)} 6. (p,1,X)={(p,XX)} 7. (p,1,Z0)={(p,)} The start state is q. For which of the following inputs can the PDA first enter state p with the input empty and the stack containing XXZ0[ i.e., the ID (p,1XXZ0)]