1
GATE CSE 2020
MCQ (Single Correct Answer)
+1
-0.33
What is the worst case time complexity of inserting n2 elements into an AVL-tree with n elements initially?
A
$$\Theta \left( {{n^2}} \right)$$
B
$$\Theta \left( {{n^2}\log n} \right)$$
C
$$\Theta \left( {{n^4}} \right)$$
D
$$\Theta \left( {{n^3}} \right)$$
2
GATE CSE 2020
MCQ (Single Correct Answer)
+1
-0.33
The preorder traversal of a binary search tree is 15, 10, 12, 11, 20, 18, 16, 19. Which one of the following is the postorder traversal of the tree?
A
20, 19, 18, 16, 15, 12, 11, 10
B
10, 11, 12, 15, 16, 18, 19, 20
C
11, 12, 10, 16, 19, 18, 20, 15
D
19, 16, 18, 20, 11, 12, 10, 15
3
GATE CSE 2018
Numerical
+1
-0
The postorder traversal of a binary tree is $$8,9,6,7,4,5,2,3,1.$$ The inorder traversal of the same tree is $$8,6,9,4,7,2,5,1,3.$$ The height of a tree is the length of the longest path from the root to any leaf. The height of the binary tree above is ______.
Your input ____
4
GATE CSE 2015 Set 1
MCQ (Single Correct Answer)
+1
-0.3
What are the worst-case complexities of insertion and deletion of a key in a binary search tree?
A
$$\Theta \left( {\log n} \right)$$ for both insertion and deletion
B
$$\Theta \left( n \right)$$ for both insertion and deletion
C
$$\Theta \left( n \right)$$ for insertion and $$\Theta \left( {\log n} \right)$$for deletion
D
$$\Theta \left( {\log n} \right)$$ for insertion and $$\Theta \left( n \right)$$ for deletion
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