The set T represents various traversals over binary tree. The set S represents the
order of visiting nodes during a traversal.
T
S
I: Inorder
L: left subtree, node, right subtree
II: Preorder
M: node, left subtree, right subtree
III: Postorder N: left subtree, right subtree, node
Which one of the following is the correct match from T to S ?
The set T represents various traversals over binary tree. The set S represents the
order of visiting nodes during a traversal.
T
S
I: Inorder
L: left subtree, node, right subtree
II: Preorder
M: node, left subtree, right subtree
III: Postorder N: left subtree, right subtree, node
Which one of the following is the correct match from T to S ?
Show Hint
- I - L, II - M, III - N
- I - M, II - L, III - N
- I - N, II - M, III - L
- I - L, II - N, III - M
The Correct Option is A
Solution and Explanation
Step 2: Preorder visits node first: the sequence produced is A, B, C, which follows the pattern 'node, left, right' - this is description M.
Step 3: Inorder visits the left child before the node: the sequence produced is B, A, C, which follows the pattern 'left, node, right' - this is description L.
Step 4: Postorder visits the node last: the sequence produced is B, C, A, which follows the pattern 'left, right, node' - this is description N.
Step 5: This trace confirms I (Inorder) - L, II (Preorder) - M, III (Postorder) - N, without needing to recall the definitions from memory.
Final Answer: Option (A)
Top Questions on Trees
- Consider the following algorithm tt{someAlgo that takes an undirected graph \( G \) as input.} tt{someAlgo(G)} Let \( v \) be any vertex in \( G \). Run BFS on \( G \) starting at \( v \). Let \( u \) be a vertex in \( G \) at maximum distance from \( v \) as given by the BFS. Run BFS on \( G \) again with \( u \) as the starting vertex. Let \( z \) be the vertex at maximum distance from \( u \) as given by the BFS. Output the distance between \( u \) and \( z \) in \( G \). The output of tt{someAlgo(T)} for the tree shown in the given figure is ___________ . (Answer in integer) \begin{center} \includegraphics{q59_fig.png} \end{center}
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Questions Asked in GATE CS exam
A database has 25,000 fixed-length records of 100 bytes (primary key 15 bytes). The data file is block-aligned so each record is fully contained within a block. The file is indexed by a primary index file, also block-aligned and ordered. Block size is 1024 bytes and a block pointer is 5 bytes. Each index entry stores the blockβs anchor key (15 bytes) and a pointer (5 bytes). Binary search on an index file of \(b\) blocks needs \(\lceil \log_2 b \rceil\) block accesses in the worst case. Given a key, the number of block accesses required to identify the data file block that may contain the record, in the worst case, is ____________.
- GATE CS - 2023
- Database Management Systems