Given the following grammar and semantic actions, trace the growth of the AST for a=b*c {S = maketree ('=', id, E )} S => Ei id - E Ej * Ek { Ei = maketree (*', Ej, Ek) } E -> id {E = makeleaf (id) } Assume that maketree and makeleaf are the same functions as in the class. Use the following Parsing Stack Input Production NO NEED TO SHOW THE TREE Semantic Action Semantic Stack