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2. Let F be a PRF. Consider the following function F': F (x) = { Fk (x) F(x + 1) if x is even

2. Let F be a PRF. Consider the following function F': F (x) = { Fk (x) F(x + 1) if x is even if x is odd,

2. Let F be a PRF. Consider the following function F': F (x) = { Fk (x) F(x + 1) if x is even if x is odd, Show that F' is not a PRF even though F is. As with the previous problem, construct a distinguisher and work out the two probability values.

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