COSC 385 - Theory of Formal Languages, Grammars, and Automata Fall 2023 Project 5 List of Problems Write in the programming language Python A code/program to simulate a deterministic pushdown automaton simulator (DPDA) that (only) recognizes the language A, where A is the first letter of your family name, using the Python library automata-lib 5.0.0 (class DPDA). Program should input/read input_data, call/execute function, output/print result/output_data. Language A A = {ab|0m}. Language B B={ab|0mn). Language C C={a"b" |0nm}. Language D D= {amb | 0m != n}. Language E F (aba' i>0, j>0}. Language F F= {a'b'a'i>j>0}. Language G F={a'b'a'|0