GATE CS 2014 Set 2 — Question 23
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Algorithms → Asymptotic Analysis → Master Theorem
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Question
Which one of the following correctly determines the solution of the recurrence relation with ?
Correct answer
(A) Θ(n)
Solution
Using the Master Theorem for :
Here , , and .
Calculate .
Compare with :
Since for any , this falls into Case 1 of the Master Theorem.
Therefore, .
Here , , and .
Calculate .
Compare with :
Since for any , this falls into Case 1 of the Master Theorem.
Therefore, .
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