. Suppose the PDA P = (Q={go, q1), E=(0,1), r={Zo, X), &, qo, z-Zo, F={q}) has the following transition function: a. 8(go, 0, Zo) = {(go, XZo)}. b. &(qo, 0, X)= {(go, XX)}. - c. 8(go, 1, X) = {(go, X)}. d. 6 (go, , X) = {(q, 2)}. e. 8(q1, 2, X)= {(91, 2)}. f. 8(q, 1, X)= {(9, XX)}. g. 8(q1, 1, Zo)= {(q1, 2)}. Starting from the initial ID (qo, w, Zo), show ALL the reachable ID's and list the transition functions that are used when the input w is: a. 01. [Hint: there are two ways] b. 0011. [Hint: there are three ways] c. 010. Note: is just an empty string. The automaton stops with the top stack is Zo or empty and empty input string.