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What are the theta values for the recurrences given below in Q1-Q5? (Any method could be used to find the solution and to prove it.

What are the theta values for the recurrences given below in Q1-Q5? (Any method could be used to find the solution and to prove it. Show your work in details) (Q1) [5 pts.] T(n) = 3T(n/2) + n^2

(Q2) [5 pts.] T(n) = 16T(n/4) + n^3

(Q3) [5 pts.] T(n) = 7T(n/7) + n

(Q4) [5 pts.] T(n) = T(n-3) + n

(Q5) [10 pts.] T(n) = T(n/2) + T(n/4) + n^2

(Q6) [10 pts.] Exactly how many times is BLOCK1 executed in turns of the parameter n? for i = 1, n { for j = i, n {BLOCK1} }

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