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- Recurrence relations: Master theorem for decreasing functions T(n) = {₁T(n- aT(n −b) + f(n), if n = 0 if n > 0 f(n) = nd What is T(n)?4. Using the substituion method and T(1) = 0, solve the following recurrence relations a) T(n) = 4T(¹/₂) +n+1 b) T(n) = 7T(1/3) + n²Let a0 = 1, an = an−1+3n be the recurrence relation of algorithm A and T(1) = 1, T(n) = T(n/5)+n be the recurrence relation of algorithm B. 1. Find the solution for both relations. Use any method.
- 3. Try to obtain a closed form for the following recurrence equation: 1 if n 4. if n = 3,Let ap = 1, an = an-1 + 3 be the recurrence relation of algorithm A and T(1) = 1, T(n) = T(n/5)+n be the recurrence relation of algorithm B. 1. Find the solution for both relations. Use any method.Solve the recurrence relation T(k) = 2 T(k -1), T(0) =1.
- Determine P(A x B) – (A x B) where A = {a} and B = {1, 2}.Generate a recurrence relation T(n) for the following algorithm and solve that recurrence: RecTime (n) if n > 0 for i = 1 to “Rightmost three digits of your ID” print (i) RecTime (n - 1) Id=074Justify that the Master theorem may be used for solving recurrences of the specified form. Solve thefollowing recurrence relation using the Master theorem:T (n) = 9 T(n/ 3) + n