These problems need to be solved using java coding 4. The depth of a node is the length of the unique path from the root to the node. Consider afull binary search tree with height h and N = 24+1 – 1 nodes. What is the average depth ofthe N nodes?5. Show the process of inserting 9, 1, 2, 8, 10, 5, 4, 3, 7, 6 into an initially empty AVL tree.Then the root is deleted and replaced by the smallest key in the right subtree. Show the treeafter each insertion, deletion, and rotation. Indicate the type of each rotation. 3. Assume that binary trees are defined aspublic class BTNode{private E data;private BTNode left, right;}We say that a binary tree t1 is a prefix of a binary tree t2 if t2 can be made identical to t1by removing zero or more leaves of t2. Write a methodpublic static boolean prefix(BTNode t1, BTNode t2)that determines whether t1 is a prefix of t2.4. The depth of a node is the length of the unique path from the root to the node. Consider afull binary search tree with height h and N = 2h+11 nodes. What is the average depth ofthe N nodes?5. Show the process of inserting 9, 1, 2, 8, 10, 5, 4, 3, 7, 6 into an initially empty AVL tree.Then the root is deleted and replaced by the smallest key in the right subtree. Show the treeafter each insertion, deletion, and rotation. Indicate the type of each rotation.ch

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Description: These problems need to be solved using java coding 4. The depth of a node is the length of the unique path from the root to the node. Consider afull binary search tree with height h and N = 24+1 – 1 nodes. What is the average depth ofthe N nodes?5. S

// Java program for insertion in AVL Tree class Node { int key, height; Node left, right;…

Engineering

Computer Science

Show the process of inserting 9, 1, 2, 8, 10, 5, 4, 3, 7, 6 into an initially empty AVL tree. Then the root is deleted and replaced by the smallest key in the right subtree. Show the tree after each insertion, deletion, and rotation. Indicate the type of each rotation.

Show the process of inserting 9, 1, 2, 8, 10, 5, 4, 3, 7, 6 into an initially empty AVL tree. Then the root is deleted and replaced by the smallest key in the right subtree. Show the tree after each insertion, deletion, and rotation. Indicate the type of each rotation.

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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