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Pseudorandom generator: For the Question 6 and 7 , let ( PRG ) G : { 0 , 1 } n { 0 , 1

Pseudorandom generator: For the Question 6 and 7, let (PRG)G:{0,1}n{0,1}2n be a pseudorandom generator and let's denote G(x):=y1||y2, where y1,y2 are both n-bit strings, and we use G1(x) to represent y1, and G2(x) to represent y2.
Q6: Define G':{0,1}n{0,1}4n where G'(x):=G(G1(x))||G(G2(x)):=G(y1)||G(y2). Is G' still a PRG? If yes, explain why; if not, give an explicit attack that violates the PRG Defination
Q7: Define G'':{0,1}n{0,1}6n where G''(x):=G(y1)||G(y2)||G(y1)o+G(y2). Is G'' still a PRG? If yes, explain why; if not, give an explicit attack that violates the PRG Defination
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