Computer Science Engineering (CSE) Exam > Computer Science Engineering (CSE) Questions > Consider the following rooted tree with the v...
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Consider the following rooted tree with the vertex P labeled as root
The order in which the nodes are visited during in-order traversal is
The order in which the nodes are visited during in-order traversal is
- a)SQPTRWUV
- b)SQPTURWV
- c)SQPTWUVR
- d)SQPTRUWV
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Consider the following rooted tree with the vertex P labeled as rootTh...
In-order traversal of a binary tree involves visiting the nodes in the following order:
- Visit the left subtree.
- Visit the current node.
- Visit the right subtree.
In your case, we have a rooted tree with the following structure:
- P is the root of the tree.
- P has two children: Q and R.
- Q has one child: S.
- R has three children: T, U, and V.
- U has one child: W.
Step-by-Step In-Order Traversal:
Let's break down the in-order traversal of this tree.
- Start at the root node P.
- First, visit the left subtree of P, which is Q.
- Q has a left subtree, which is S. Visit S (since S has no children).
- Now visit Q.
- Q has no right subtree, so we move back up to P.
- First, visit the left subtree of P, which is Q.
- Now visit P.
- P has a right subtree, which is R.
- First, visit the left subtree of R, which is T. Visit T (since T has no children).
- Now visit R.
- Next, visit the middle child of R, which is U.
- U has a left subtree, which is W. Visit W (since W has no children).
- Now visit U.
- Finally, visit the right child of R, which is V. Visit V (since V has no children).
- P has a right subtree, which is R.
Final In-Order Traversal Order:
The order in which the nodes are visited during in-order traversal is:
S, Q, P, T, R, W, U, V
This is the in-order traversal of the given tree.
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Community Answer
Consider the following rooted tree with the vertex P labeled as rootTh...
Algorithm Inorder(tree) - Use of Recursion
Steps:
1. Traverse the left subtree,
i.e., call Inorder(left-subtree)
2. Visit the root.
3. Traverse the right subtree,
i.e., call Inorder(right-subtree)
Steps:
1. Traverse the left subtree,
i.e., call Inorder(left-subtree)
2. Visit the root.
3. Traverse the right subtree,
i.e., call Inorder(right-subtree)
Understanding this algorithm requires the basic
understanding of Recursion
understanding of Recursion
Therefore, We begin in the above tree with root as
the starting point, which is P.
the starting point, which is P.
# Step 1( for node P) :
Traverse the left subtree of node or root P.
So we have node Q on left of P.
Traverse the left subtree of node or root P.
So we have node Q on left of P.
-> Step 1( for node Q)
Traverse the left subtree of node Q.
So we have node S on left of Q.
Traverse the left subtree of node Q.
So we have node S on left of Q.
* Step 1 (for node S)
Now again traverse the left subtree of node S which is
NULL here.
Now again traverse the left subtree of node S which is
NULL here.
* Step 2(for node S)
Visit the node S, i.e print node S as the 1st element of
inorder traversal.
Visit the node S, i.e print node S as the 1st element of
inorder traversal.
* Step 3(for node S)
Traverse the right subtree of node S.
Which is NULL here.
Traverse the right subtree of node S.
Which is NULL here.
Now move up in the tree to Q which is parent
of S.( Recursion, function of Q called for function of S).
Hence we go back to Q.
of S.( Recursion, function of Q called for function of S).
Hence we go back to Q.
-> Step 2( for node Q):
Visit the node Q, i.e print node Q as the 2nd
element of inorder traversal.
Visit the node Q, i.e print node Q as the 2nd
element of inorder traversal.
-> Step 3 (for node Q)
Traverse the right subtree of node Q.
Which is NULL here.
Traverse the right subtree of node Q.
Which is NULL here.
Now move up in the tree to P which is parent
of Q.( Recursion, function of P called for function of Q).
Hence we go back to P.
of Q.( Recursion, function of P called for function of Q).
Hence we go back to P.
# Step 2(for node P)
Visit the node P, i.e print node S as the 3rd
element of inorder traversal.
Visit the node P, i.e print node S as the 3rd
element of inorder traversal.
# Step 3 (for node P)
Traverse the right subtree of node P.
Node R is at the right of P.
Traverse the right subtree of node P.
Node R is at the right of P.
Till now we have printed SQP as the inorder of the tree.
Similarly other elements can be obtained by traversing
the right subtree of P.
Similarly other elements can be obtained by traversing
the right subtree of P.
The final correct order of Inorder traversal would
be SQPTRWUV.
be SQPTRWUV.
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Consider the following rooted tree with the vertex P labeled as rootThe order in which the nodes are visited during in-order traversal isa)SQPTRWUVb)SQPTURWVc)SQPTWUVRd)SQPTRUWVCorrect answer is option 'A'. Can you explain this answer? for Computer Science Engineering (CSE) 2025 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about Consider the following rooted tree with the vertex P labeled as rootThe order in which the nodes are visited during in-order traversal isa)SQPTRWUVb)SQPTURWVc)SQPTWUVRd)SQPTRUWVCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider the following rooted tree with the vertex P labeled as rootThe order in which the nodes are visited during in-order traversal isa)SQPTRWUVb)SQPTURWVc)SQPTWUVRd)SQPTRUWVCorrect answer is option 'A'. Can you explain this answer?.
Solutions for Consider the following rooted tree with the vertex P labeled as rootThe order in which the nodes are visited during in-order traversal isa)SQPTRWUVb)SQPTURWVc)SQPTWUVRd)SQPTRUWVCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Computer Science Engineering (CSE).
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Consider the following rooted tree with the vertex P labeled as rootThe order in which the nodes are visited during in-order traversal isa)SQPTRWUVb)SQPTURWVc)SQPTWUVRd)SQPTRUWVCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for Consider the following rooted tree with the vertex P labeled as rootThe order in which the nodes are visited during in-order traversal isa)SQPTRWUVb)SQPTURWVc)SQPTWUVRd)SQPTRUWVCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of Consider the following rooted tree with the vertex P labeled as rootThe order in which the nodes are visited during in-order traversal isa)SQPTRWUVb)SQPTURWVc)SQPTWUVRd)SQPTRUWVCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
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