This practice project entails the design and implementation of a push-down automata which can recognize the contextfree language L={ a nb n | n ≥ 0}. ▪ (2) The PDA has to be deterministic and it has the capability of look-ahead one step. As to the programming languages, you can use your discretion, C++, Python, Java or others. ▪ (3) You will use the following eight sets of strings as inputs: a 2b 2$, a3b 3$, a4b 4$, a5b 5$, a7b 7$, a8b 8$, a9b 9$, a10b 10$. (4) In each output, provide six columns (a) step, (b) state, (c) Unread input, (d) (Top of) stack, (e) Δ rule used, and (f) R rule used. Label the number of steps from 0 to some number.

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