In a pushdown automaton $P = (Q, \Sigma, \Gamma, \delta, q_0, F)$, a transition of the form, where $p, q \in Q$, $a \in \Sigma \cup \{\epsilon\}$, and $X, Y \in \Gamma \cup \{\epsilon\}$, represents $$(q, Y) \in \delta(p, a, X).$$ Consider the following pushdown automaton over the input alphabet $\Sigma = \{a, b\}$ and stack alphabet $\Gamma = \{\#, A\}$. The number of strings of length 100 accepted by the above pushdown automaton is _____.

In a pushdown automaton P = (Q, , , , q0, F), a transition of the form, where p, q Q, a \ \, and X, Y \ \, represents (q, Y) (p, a, X). Consider the following pushdown automaton over the input alphabet = \a, b\ and stack alphabet = \\#, A\. The number of strings of length 100 accepted by the above pushdown automaton is …

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