Draw the BST where the data value at each node is an integer and the values are entered in the following order: 36, 22, 10, 44, 42, 60, 50, 70, 80, 85, 75, 55, 45 Now draw the trees after deletions of each node 42, 70, 60 and 36 in this order Write down the order on which the node values are reached when the BST of part (c) is traversed (i) Inorder (ii) Postorder (iii) Preorder iv) Level order

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
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in java

I.
Binary SearchTrees (BSTS)
(а)
Draw the BST where the data value at each node is an integer and the values are entered in
the following order: 36, 22, 10, 44, 42, 60, 50, 70, 80, 85, 75, 55, 45
(b)
Now draw the trees after deletions of each node 42, 70, 60 and 36 in this order
(c)
Write down the order on which the node values are reached when the BST of part (c) is
traversed
(ii) Postorder
(iii) Preorder
(i)
What is the height of the tree of part (a)?
Draw the BST on the following data 40, 30, 50, 20, 35, 45, 60, 25, 33, 42, 65. Now draw
its mirror image
Inorder
iv) Level order
(d)
(e)
3
8
BST
Mirror of BST
(f)
Display the tree constructed in (e) using Breadth First Search or level order traversal. i.e.
the BFS of above tree is given as
а. 5 3
7
1
4 8
(g)
Given the In-Order {10 20 25 30 40 45 60} and Pre-Order {40 20 10 30 25 60 45}. Draw
the original BST. Search yourself.
(h)
Given the In-Order {10 20 25 30 40 45 60} and Post-Order {10 25 30 20 45 60 40}. Draw
the original BST. Search yourself.
00
00
Transcribed Image Text:I. Binary SearchTrees (BSTS) (а) Draw the BST where the data value at each node is an integer and the values are entered in the following order: 36, 22, 10, 44, 42, 60, 50, 70, 80, 85, 75, 55, 45 (b) Now draw the trees after deletions of each node 42, 70, 60 and 36 in this order (c) Write down the order on which the node values are reached when the BST of part (c) is traversed (ii) Postorder (iii) Preorder (i) What is the height of the tree of part (a)? Draw the BST on the following data 40, 30, 50, 20, 35, 45, 60, 25, 33, 42, 65. Now draw its mirror image Inorder iv) Level order (d) (e) 3 8 BST Mirror of BST (f) Display the tree constructed in (e) using Breadth First Search or level order traversal. i.e. the BFS of above tree is given as а. 5 3 7 1 4 8 (g) Given the In-Order {10 20 25 30 40 45 60} and Pre-Order {40 20 10 30 25 60 45}. Draw the original BST. Search yourself. (h) Given the In-Order {10 20 25 30 40 45 60} and Post-Order {10 25 30 20 45 60 40}. Draw the original BST. Search yourself. 00 00
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