Introduction to Java Programming and Data Structures, Comprehensive Version (11th Edition)
11th Edition
ISBN: 9780134670942
Author: Y. Daniel Liang
Publisher: PEARSON
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Expert Solution & Answer
Chapter 26.8, Problem 26.8.1CP
Explanation of Solution
AVL tree: It is a self-balancing binary search tree. If the tree is not balanced, the tree performs rotation operation.
Insertion of the nodes 1, 2, 3, 4, 10, 9, 7, 5, 8, 6:
Insertion of 1 and 2:
- First the value 1 is inserted as the node.
- The value 2 is greater than 1 and it becomes the right child of 1.
Insertion of 3:
- Next the value 3 is greater than 1 and it goes to the right of 1.
- The value 3 is again greater than 3 and it goes to the right of 2.
- Now the tree gets rebalanced.
- After inserting 3, the tree becomes,
Insertion of 4:
- The value 4 is greater than 1 and it goes to the right of 1.
- The value 4 is greater than 3 and it goes to the right of 3.
Insertion of 10:
- The value 10 is greater than 1 and it goes to the right of 1.
- The value 10 is greater than 3 and it goes to the right of 3.
- The value 10 is greater than 4 and it goes to the right of 4.
- Now the tree gets rebalanced.
- After inserting 10, the tree becomes,
Insertion of 9:
- The value 9 is greater than 2 and it goes to the right of 2.
- The value 9 is greater than 4 and it goes to the right of 4.
- The value 9 is lesser than 10 and it goes to the left of 10.
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Chapter 26 Solutions
Introduction to Java Programming and Data Structures, Comprehensive Version (11th Edition)
Chapter 26.2, Problem 26.2.1CPChapter 26.2, Problem 26.2.2CPChapter 26.2, Problem 26.2.3CPChapter 26.3, Problem 26.3.1CPChapter 26.3, Problem 26.3.2CPChapter 26.3, Problem 26.3.3CPChapter 26.4, Problem 26.4.1CPChapter 26.4, Problem 26.4.2CPChapter 26.4, Problem 26.4.3CPChapter 26.4, Problem 26.4.4CP
Chapter 26.5, Problem 26.5.1CPChapter 26.6, Problem 26.6.1CPChapter 26.6, Problem 26.6.2CPChapter 26.6, Problem 26.6.3CPChapter 26.6, Problem 26.6.4CPChapter 26.7, Problem 26.7.1CPChapter 26.7, Problem 26.7.2CPChapter 26.7, Problem 26.7.3CPChapter 26.7, Problem 26.7.4CPChapter 26.8, Problem 26.8.1CPChapter 26.8, Problem 26.8.2CPChapter 26.8, Problem 26.8.3CPChapter 26.9, Problem 26.9.1CPChapter 26.9, Problem 26.9.2CPChapter 26.9, Problem 26.9.3CPChapter 26, Problem 26.5PE
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