Given G as a secure PRG which of the following is also a secure PRG? Give a high level idea of the proof for your answer for each item: a) Gi(81||$2) := G(31) ^ G(82) where 1 denotes bit-wise AND and || is concatenation. b) G2(81||$2) := G(81) G(92). c) G3(s) := G(s) 1" (XOR n-th bit with 1) d) G4(s) := G(s)[0,..., n 1] (select first n - 1 bits). e) G5(s) := (G(s), G(s)). f) G6(81||S2) := ($1,G(s2)). Given G as a secure PRG which of the following is also a secure PRG? Give a high level idea of the proof for your answer for each item: a) Gi(81||$2) := G(31) ^ G(82) where 1 denotes bit-wise AND and || is concatenation. b) G2(81||$2) := G(81) G(92). c) G3(s) := G(s) 1" (XOR n-th bit with 1) d) G4(s) := G(s)[0,..., n 1] (select first n - 1 bits). e) G5(s) := (G(s), G(s)). f) G6(81||S2) := ($1,G(s2))