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Problem 2.1 (5 points). Prove that the greatest possible advantage of any algorithm in distinguishing between X0 and X1 given t samples is at most

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Problem 2.1 (5 points). Prove that the greatest possible advantage of any algorithm in distinguishing between X0 and X1 given t samples is at most t times the greatest advantage in distinguishing between them given one sample. That is, if there is an such that for any algorithm A we have: advAX0,X1=PrxX1[A(x)=1]PrxX0[A(x)=1]

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