Differences between binary tree and binary search tree.

Both binary trees and binary search trees are types of binary trees, which means that each node in the tree has at most two children. However, there is a significant difference between the two types of trees in terms of how they are organized and the operations that can be performed on them.

A binary tree is simply a tree data structure where each node can have at most two children, left and right. There are no specific ordering constraints placed on the values stored in the nodes. A binary tree can be used for a variety of purposes such as expressing hierarchical relationships, searching data, or building expression trees.

A binary search tree (BST) is a specific type of binary tree that has the following additional constraints:

1. The value stored in each node must be greater than or equal to any value in its left subtree.
2. The value stored in each node must be less than or equal to any value in its right subtree.

In other words, a binary search tree is organized in such a way that all nodes in its left subtree are smaller than the value stored in the node, and all nodes in its right subtree are larger than the value stored in the node. This ordering allows for efficient searching, insertion, and deletion operations.

The main differences between binary trees and binary search trees can be summarized as follows:

• Binary trees have no specific ordering constraints on the values stored in their nodes, while binary search trees are ordered in a specific way.
• Binary search trees have a faster search operation than binary trees because of their ordered nature.
• Binary trees can be used for a wider range of purposes, while binary search trees are specifically designed for efficient searching, insertion, and deletion of data.