Question:
The recurrence T(n) = 2T(n/2) + n has a solution of _______.
The recurrence T(n) = 2T(n/2) + n has a solution of _______.
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For divide and conquer recurrences, master theorem can be used to determine the complexity quickly.
Updated On: Jun 16, 2025
- O(n)
- O(nlogn)
- O(n²)
- O(logn)
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The Correct Option is B
Solution and Explanation
The given recurrence is a divide and conquer recurrence, and it can be solved using the master theorem. The solution to this recurrence is O(nlogn), as it fits the second case of the master theorem.
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