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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.
Q. The degree of a node is defined as the number of children it has. Shear show that in any binary tree, the total number of leaves is one more than the number of nodes of degree 2
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