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Use a recursion tree to determine a good asymptotic upper bound on the following recurrences. Use...

  1. Use a recursion tree to determine a good asymptotic upper bound on the following recurrences. Use the substitution method to verify your answer.
    1. T(n) = 3T(n/2) + n.
    2. T(n) = T(n/2) + n2.

Solutions

Expert Solution

A. T(n) = 3T(n/2) + n

Recurssion Tree method:

Upper Bound for the above T(n) = O().

Substitution method:

B. T(n) = T(n/2) + n2

Recurssion Tree method:

Upper Bound for the above T(n) = O(n2).

venereology answered 5 days ago
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