When a binary search tree is balanced, it provides search, addition, and removal operations that have O(N) computing time.Group of answer choicesTrueFalse

Analyzing the Statement

1. Understanding the Binary Search Tree (BST): A Binary Search Tree is a data structure that maintains sorted data and allows for efficient insertion, deletion, and lookup operations.

2. Balanced Trees: When a BST is balanced, it means that the left and right subtrees of any node differ in height by at most one. An example of a balanced BST is an AVL tree or a Red-Black tree.

3. Time Complexity:

   • In a balanced BST, the height of the tree is logarithmic relative to the number of nodes (i.e., $O(\log N)$).
   • Consequently, search, insertion, and deletion operations can be performed in $O(\log N)$ time on a balanced BST, not $O(N)$.

Conclusion

The statement is False. The operations in a balanced binary search tree have a time complexity of $O(\log N)$, not $O(N)$. Therefore, the correct answer is False.