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GATE | GATE-CS-2004 | Question 85

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

(A)

Θ(n)

(B)

Θ(nLogn)

(C)

Θ(n2)

(D)

Θ(n2log n)

Answer

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