Construct a binary tree using the following data.
The preorder traversal of a binary tree is 1, 2, 5, 3, 4. The inorder traversal of the same binary tree is 2, 5, 1, 4, 3.
Here,
Preorder Traversal is 1, 2, 5, 3, 4
Inorder Traversal is 2, 5, 1, 4, 3
Root node of binary tree is the first node in Preorder traversal.
The rough sketch of tree is:
binary-tree-operations-multiple-choice-questions-answers-mcqs-q15e
Second node in preorder traversal is 2. This makes 5 as right child to node 2. The fourth node in preorder traversal is 3. This makes 4 as right child to node 3. Thus the final tree is:D
Whenever you insert an element or remove or read an element that will be pushed or stored at the top which facilitates easier access or recently used stuff.
Workspace
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SHSTTON
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Solv. Corr.
36
Solv. In. Corr.
69
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Choose the correct option.
If the tree is not a complete binary tree then what changes can be made for easy access of children of a node in the array?
Aevery node stores data saying which of its children exist in the array
Bno need of any changes continue with 2w and 2w+1, if node is at i
Ckeep a seperate table telling children of a node
Duse another array parallel to the array with tree
Array cannot represent arbitrary shaped trees. It can only be used in case of complete trees. If every node stores data saying that which of its children exists in the array then elements can be accessed easily.
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The steps for finding post-order traversal are traverse the right subtree, traverse the left subtree or visit the current node.
A full binary tree is a tree in which each node has exactly 0 or 2 children.
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Consider the following data and specify which one is Preorder Traversal Sequence, Inorder and Postorder sequences.
S1: N, M, P, O, Q
S2: N, P, Q, O, M
S3: M, N, O, P, Q
AS1 is preorder, S2 is inorder and S3 is postorder
BS1 is inorder, S2 is preorder and S3 is postorder
CS1 is inorder, S2 is postorder and S3 is preorder
DS1 is postorder, S2 is inorder and S3 is preorder
Preorder traversal starts from the root node and postorder and inorder starts from the left child node of the left subtree. The first node of S3 is different and for S1 and S2 it's the same. Thus, S3 is preorder traversal and the root node is M. Postorder traversal visits the root node at last. S2 has the root node(M) at last that implies S2 is postorder traversal. S1 is inorder traversal as S2 is postorder traversal and S3 is preorder traversal. Therefore, S1 is inorder traversal, S2 is postorder traversal and S3 is preorder traversal.
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Solv. In. Corr.
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In postorder traversal of binary tree right subtree is traversed before visiting root.
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