Construct PDAs that accept each of the following languages.

a) {a'W | 0 Sis j} b) {a'j bi | i, j>0} c) {a'wick | i + k = j} d) {w | W {a,b}* and w has twice as many a's as bs} e) {a'bi | i >0} U a* Ub* f) {a'Wick i = j or j = k} g) {a'bi | i #j} h) {a'bi | 0 0} j) The set of palindromes over {a,b}