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height of binary search tree

Height of the binary search tree is defined as the number of nodes in the longest path from the root node to leaf node.



In the above image one of the longest paths is 8 --> 10 --> 14 --> 13, containing 4 nodes hence the height of the binary search tree is 4.
One thing that should be noted is that a tree with only root node has height 1 and not 0.

In the following the height of the left and right subtree is compared and the larger value is returned.


C++ Program




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