Running time of two algorithms to solve a problem are represented by the following relations. a) T(n) = 2 T(n-2) + 2 for n > 0 , T(0) = 1

Database System Concepts
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Running time of two algorithms to solve a problem are represented by the following relations.

a) T(n) = 2 T(n-2) + 2 for n > 0 , T(0) = 1

b) T(n) = 3 T(n/3) + n for n >= 3, and for n < 3, T(n) = 1.

3.1 [4+4] Solve these relations by using step by step procedure and find the time complexities and represent in order notation.

3.2 [2] Compare the complexity class and find out which one is better.

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