Problem 1) given the following Grammar: where NT - (E,T,F), T = {or, and, not, i, (,)} and E is the start symbol EE or TT T::= T and FF F:not F (E) | i 1) The given grammar is not LL(1), explain why? and, then transform it into LL(1) 2) Compute FIRST, FOLLOW, PREDICT sets. 3) construct the top-down predictive parser(one procedure for each NT). 4) construct the LL(1) parsing table. 5) Parse the following input: "i and not i and i S" using predictive parser. 6) Parse the following input: "i and (not i) and i S" using LL(1) parsing table.