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+1 vote

The average depth of a binary search tree is

  1. $O(n^{0.5})$
  2. $O(n)$
  3. $O(\log n)$
  4. $O(n \log n)$
asked in DS by Veteran (76k points)   | 548 views
Option C
is it same as hight of bst
and worst case of Binary Search Tree is O(n).  #extraInfo

2 Answers

+4 votes
Best answer

The average case depth of a node in a BST is O(lg n)

option C

answered by Loyal (3.1k points)  
selected by
+2 votes

A binary search tree is a binary tree with the further property that, for every node,


the value of the element in the left child is less than the value of the element at the node, and

the value of the element in the right child is greater than the value of the element at the node

The average depth over all nodes in a binary search tree is O(lg n) 

answered by Loyal (3.6k points)  

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