(6) [20 pts.] Answer questions (a) and (b) below: (a) How many times exactly is the...

  

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(6) [20 pts.] Answer questions (a) and (b) below: (a) How many times exactly is the code block below executed? For (i = 1, n) { For (j = 1, i) { For (k = 1, j) { code block } Hint: You have to start with n=1, then make assumption what you make expect for any given n = N, and check if the formula you found works for n =N+1. This is what we call prove by induction. (b) What is the theta value of this code segment? (6) [20 pts.] Answer questions (a) and (b) below: (a) How many times exactly is the code block below executed? For (i = 1, n) { For (j = 1, i) { For (k = 1, j) { code block } Hint: You have to start with n=1, then make assumption what you make expect for any given n = N, and check if the formula you found works for n =N+1. This is what we call prove by induction. (b) What is the theta value of this code segment?