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Unit 7 · Data Structures and Algorithms Paper 2 CS · December 2024

Which of the following is the solution of the recurrence relation T(n) = T(2n/3) + 1?

Pick an option to check yourself, or open the answer below.

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Correct answer: B. Θ(log n)

Explanation

a = 1, b = 3/2, so nlog_b a = n⁰ = 1 = f(n). By Master theorem case 2, T(n) = Θ(log n).

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