When n = 22k for some k ≥ 0, the recurrence relation T(n) = √(2) T(n/2) + √n,…

GATE · 2008 · IT

When n = 22k for some k ≥ 0, the recurrence relation
T(n) = √(2) T(n/2) + √n, T(1) = 1
evaluates to :

  1. A.

    √(n) (log n + 1)

  2. B.

    √(n) (log n )

  3. C.

    √(n) log √(n)

  4. D.

    n log √(n)

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