in full binary search tree every internal node has exactly two children. if there are 100 leaf nodes in the tree, how many internal nodes are there in the tree?

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10-12-2022
Computers and Technology

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in full binary search tree every internal node has exactly two children. if there are 100 leaf nodes in the tree, how many internal nodes are there in the tree?

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saishreechandan907 saishreechandan907 · Answer 1 · 2022-12-18T11:39:34+01:00

Each internal node has exactly two children in a full binary search tree. In a tree with 100 leaf nodes, there are 99 interior nodes as well.

An ordered or sorted binary tree, also known as a binary search tree (BST) in computer science, is a rooted binary tree data structure in which each internal node's key is larger than all the keys in its left subtree and less than all the keys in its right subtree. The binary search tree's height directly relates to how time-consuming its operations are.

Binary search trees enable binary search for quick item searching, addition, and removal. Since each comparison in a BST skip around half of the remaining tree, the lookup efficiency is proportional to that of a binary logarithm. In the 1960s, it was developed to address the issue.

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