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Recent questions tagged data-structures

62 votes
4 answers
1626
GATE CSE 2015 Set 2 | Question: 17
Consider a complete binary tree where the left and right subtrees of the root are max-heaps. The lower bound for the number of operations to convert the tree to a heap is $\Omega(\log n)$ $\Omega(n)$ $\Omega(n \log n)$ $\Omega(n^2)$
Consider a complete binary tree where the left and right subtrees of the root are max-heaps. The lower bound for the number of operations to convert the tree to a heap is...
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35 votes
12 answers
1627
GATE CSE 2015 Set 2 | Question: 10
A binary tree T has $20$ leaves. The number of nodes in T having two children is ______.
A binary tree T has $20$ leaves. The number of nodes in T having two children is ______.
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11 votes
5 answers
1628
What is the complexity of finding 50th smallest element in an already constructed binary min-heap?
What is the complexity of finding $50^{th}$ smallest element in an already constructed binary min-heap? $\Theta(1)$ $\Theta (\log n)$ $\Theta (n)$ $\Theta (n \log n)$
What is the complexity of finding $50^{th}$ smallest element in an already constructed binary min-heap?$\Theta(1)$$\Theta (\log n)$$\Theta (n)$$\Theta (n \log n)$
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2 votes
1 answer
1629
Answer the following question
In 28 my answer is c but answer given is d.
In 28 my answer is c but answer given is d.
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0 votes
1 answer
1630
Answer the following question
Please show steps for the question 20 and 14.
Please show steps for the question 20 and 14.
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6 votes
2 answers
1632
MadeEasy Test Series: Programming & DS - Hashing
Consider a hash table using uniform hashing with number of slots as $m=6$ and number of keys, $k=8$. Collisions are resolved by chaining. Assuming direct hashing is used, what is the expected number of slots that ends not being empty?
Consider a hash table using uniform hashing with number of slots as $m=6$ and number of keys, $k=8$. Collisions are resolved by chaining. Assuming direct hashing is used,...
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0 votes
2 answers
1633
Is it option A ?
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64 votes
7 answers
1636
GATE IT 2005 | Question: 50
In a binary tree, for every node the difference between the number of nodes in the left and right subtrees is at most $2$. If the height of the tree is $h > 0$, then the minimum number of nodes in the tree is $2^{h-1}$ $2^{h-1} + 1$ $2^h - 1$ $2^h$
In a binary tree, for every node the difference between the number of nodes in the left and right subtrees is at most $2$. If the height of the tree is $h 0$, then the m...
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53 votes
7 answers
1638
GATE IT 2005 | Question: 12
The numbers $1, 2, .\dots n$ are inserted in a binary search tree in some order. In the resulting tree, the right subtree of the root contains $p$ nodes. The first number to be inserted in the tree must be $p$ $p + 1$ $n - p$ $n - p + 1$
The numbers $1, 2, .\dots n$ are inserted in a binary search tree in some order. In the resulting tree, the right subtree of the root contains $p$ nodes. The first number...
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23 votes
4 answers
1640
GATE IT 2004 | Question: 54
Which one of the following binary trees has its inorder and preorder traversals as $BCAD$ and $ABCD$, respectively?
Which one of the following binary trees has its inorder and preorder traversals as $BCAD$ and $ABCD$, respectively?
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65 votes
9 answers
1643
GATE IT 2004 | Question: 13
Let $P$ be a singly linked list. Let $Q$ be the pointer to an intermediate node $x$ in the list. What is the worst-case time complexity of the best-known algorithm to delete the node $x$ from the list ? $O(n)$ $O(\log^2 n)$ $O(\log n)$ $O(1)$
Let $P$ be a singly linked list. Let $Q$ be the pointer to an intermediate node $x$ in the list. What is the worst-case time complexity of the best-known algorithm to del...
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19 votes
1 answer
1648
GATE IT 2006 | Question: 44
Which of the following sequences of array elements forms a heap? $\{23, 17, 14, 6, 13, 10, 1, 12, 7, 5\}$ $\{23, 17, 14, 6, 13, 10, 1, 5, 7, 12\}$ $\{23, 17, 14, 7, 13, 10, 1, 5, 6, 12\}$ $\{23, 17, 14, 7, 13, 10, 1, 12, 5, 7\}$
Which of the following sequences of array elements forms a heap?$\{23, 17, 14, 6, 13, 10, 1, 12, 7, 5\}$$\{23, 17, 14, 6, 13, 10, 1, 5, 7, 12\}$$\{23, 17, 14, 7, 13, 10, ...
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57 votes
11 answers
1650
GATE IT 2006 | Question: 9
In a binary tree, the number of internal nodes of degree $1$ is $5$, and the number of internal nodes of degree $2$ is $10$. The number of leaf nodes in the binary tree is $10$ $11$ $12$ $15$
In a binary tree, the number of internal nodes of degree $1$ is $5$, and the number of internal nodes of degree $2$ is $10$. The number of leaf nodes in the binary tree i...
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