(4 marks) Design a deterministic pushdown automaton that recognizes the language L = {akbc2ili > 0, k> 1} Draw a table that traces the behavior of your pushdown automaton on the input aabbcccc. The table should list the current state, currently remaining input, pand current stack contents at each step of the computation (see examples on pages 217218). Note: Since the pushdown automaton has to be deterministic, we cannot use the general transformation that converts a grammar to a pushdown automaton (as discussed on pp. 218-219 in the text and in video 31)