Let ao = 1, an = 7an-1 + 4 be the recurrence relation of algorithm A...

 

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Let ao = 1, an = 7an-1 + 4 be the recurrence relation of algorithm A and T(1) = 1, T(n) = 3T(n/4)+n be the recurrence relation of algorithm B. 1. Find the solution for both relations. Use any method. 2. Without proof, find Big-Oh for both algorithms. 3. Which algorithm is faster? Justify your answer using Big-Oh notation. Let ao = 1, an = 7an-1 + 4 be the recurrence relation of algorithm A and T(1) = 1, T(n) = 3T(n/4)+n be the recurrence relation of algorithm B. 1. Find the solution for both relations. Use any method. 2. Without proof, find Big-Oh for both algorithms. 3. Which algorithm is faster? Justify your answer using Big-Oh notation.