(a) [4 pts) Consider the following AST in the linear S-expression form: (* (+ a b) (- (*c d) e)) Give two syntactically different Python arithmetic expressions that correspond to this AST. (Hint: Syntactically different means the expressions have distinct parse trees.) (b) [6 pts] Consider the following expression from some language X: a+b+cdue fog i. Assume the common arithmetic properties, i.e. has precedence over + and left associativity among operations of the same precedence level. Show an AST in the linear S-expression form. ii. Now, assume that the arithmetic properties are flipped, i.e. + has precedence over and right associativity among operations of the same precedence level. Show an AST in the linear S-expression form