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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.
Each of the comparison in the binary search decrease the number of possible candidates where the key value can be searched by a factor of 2 as the array is divided into two halves
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GIVE TRACE OF BINARY SEARCH ALGORITHM BY USING A SUITABLE EXAMPLE.
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