## Recursive function , Data Structure & Algorithms

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Q. Write down the recursive function to count the number of the nodes in the binary tree.

Ans.

Recursive Function to count no. of Nodes in Binary Tree is written below

The number NUM of nodes in T is 1 greater than the number NULL of nodes in the left subtree of T plus the number NUMR of nodes in the right subtree of the T. Count( LEFT , RIGHT , ROOT , NUM.)

This procedure finds the number NUM of nodes in a binary tree T in memory.

1.  If ROOT = NULL, then : Set NUM := 0, & Return.

2.  Call COUNT( LEFT , RIGHT , LEFT[ ROOT], NUML).

3.  Call COUNT ( LEFT , RIGHT, RIGHT[ ROOT], NUMR).

4.  Set NUM := NUML +NUMR+1.

5.  Return.

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