GATE Computer Science (CS) 2021 Shift 1 Solved Paper

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Question : 61 of 65
 
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In a pushdown automaton P = (Q, ∑, Γ, δ, q0, F), a transition of the form,

where p, q ∈ Q, a ∈ Σ ∪ {ϵ}, and X, Y ∈ Γ ∪ {ϵ}, represents
(q, Y) ∈ δ(p, a, X).
Consider the following pushdown automaton over the input alphabet ∑ = {a, b} and stack alphabet Γ = {#, A}.

The number of strings of length 100 accepted by the above pushdown automaton is ______
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