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Construct a B+ Tree of Order P=4 For the following set of key values: (7, 12, 5, 20, 1, 18, 24, 21, 30, 4, 13, 15) a) Assume that the tree is initially empty, and values are inserted in the above given order. Show only the final constructed B+ tree after inserting all the above keys. b) After you construct the tree in part (a), show this B+ tree after the following keys (insert 14, insert 16, then insert 17) are inserted in the given order. Show only the final constructed B+ tree after all these insertions. c) After you finish inserting the keys of part (b), show this B+ tree after the following keys in the given order are deleted (delete 17, then delete 12, then delete 13, then delete 16). Show only the final B+ tree after all these deletions.

Construct a B+ Tree of Order P=4 For the following set of key values: (7, 12, 5, 20, 1, 18, 24, 21, 30, 4, 13, 15) a) Assume that the tree is initially empty, and values are inserted in the above given order. Show only the final constructed B+ tree after inserting all the above keys. b) After you construct the tree in part (a), show this B+ tree after the following keys (insert 14, insert 16, then insert 17) are inserted in the given order. Show only the final constructed B+ tree after all these insertions. c) After you finish inserting the keys of part (b), show this B+ tree after the following keys in the given order are deleted (delete 17, then delete 12, then delete 13, then delete 16). Show only the final B+ tree after all these deletions.

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**Constructing a B+ Tree of Order P=4** **Objective:** Build a B+ Tree for the following set of key values: - Key Values: (7, 12, 5, 20, 1, 18, 24, 21, 30, 4, 13, 15) ### Steps: **a) Initial Construction:** - Begin with an empty B+ Tree. - Insert the keys in the order given: (7, 12, 5, 20, 1, 18, 24, 21, 30, 4, 13, 15). - Task: Display the final B+ Tree after inserting all the above keys. **b) Additional Insertions:** - After completing the initial tree, insert additional keys in this order: 14, 16, 17. - Task: Display the final B+ Tree after inserting these keys. **c) Deletions:** - Proceed to delete keys in this order: 17, 12, 13, 16. - Task: Display the final B+ Tree after performing these deletions. ### Instructions: - Always maintain the order P=4, which dictates the number of children nodes. - Ensure that each step maintains the properties of a B+ Tree. - Visualize each step to understand the structural changes. This exercise helps in understanding the dynamic nature of B+ Trees in handling insertions and deletions while maintaining balance and order.
Transcribed Image Text:**Constructing a B+ Tree of Order P=4** **Objective:** Build a B+ Tree for the following set of key values: - Key Values: (7, 12, 5, 20, 1, 18, 24, 21, 30, 4, 13, 15) ### Steps: **a) Initial Construction:** - Begin with an empty B+ Tree. - Insert the keys in the order given: (7, 12, 5, 20, 1, 18, 24, 21, 30, 4, 13, 15). - Task: Display the final B+ Tree after inserting all the above keys. **b) Additional Insertions:** - After completing the initial tree, insert additional keys in this order: 14, 16, 17. - Task: Display the final B+ Tree after inserting these keys. **c) Deletions:** - Proceed to delete keys in this order: 17, 12, 13, 16. - Task: Display the final B+ Tree after performing these deletions. ### Instructions: - Always maintain the order P=4, which dictates the number of children nodes. - Ensure that each step maintains the properties of a B+ Tree. - Visualize each step to understand the structural changes. This exercise helps in understanding the dynamic nature of B+ Trees in handling insertions and deletions while maintaining balance and order.
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