A program takes as input a balanced binary search tree with n leaf nodes and…

GATE · 2004 · CS

A program takes as input a balanced binary search tree with n leaf nodes and computes the value of a function g(x) for each node x. If the cost of computing g(x) is min{no. of leaf-nodes in left-subtree of x, no. of leaf-nodes in right-subtree of x} then the worst-case time complexity of the program is

  1. A.

    Θ(n)

  2. B.

    Θ(nLogn)

  3. C.

    Θ(n2)

  4. D.

    Θ(n2log n)

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Correct answer: B

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