Question: Consider the following algorithm 1: COMPLEX(n) 2: 3: 4: while j n 5: 6: j=1 a=0 a=a+J 2.j 2-3 (a) (20 pts) Using induction, prove

Consider the following algorithm 1: COMPLEX(n) 2: 3: 4: while j

Consider the following algorithm 1: COMPLEX(n) 2: 3: 4: while j n 5: 6: j=1 a=0 a=a+J 2.j 2-3 (a) (20 pts) Using induction, prove that after the k-th iteration, a = 2k-1. (b) (10 pts) Compute the precise mumber of iterations that the while loop will execute

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