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Which of the following traversal outputs the data in sorted order in a BST?
- a)Preorder
- b)Inorder
- c)Postorder
- d)Level order
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
Which of the following traversal outputs the data in sorted order in a...
Explanation:
In a Binary Search Tree (BST), each node has a key greater than all the keys in its left subtree and smaller than all the keys in its right subtree. Therefore, inorder traversal of a BST visits the nodes in ascending order of their keys.
Inorder Traversal:
Inorder traversal follows the order of Left-Root-Right. It starts from the left subtree, visits the root node, and then the right subtree. This traversal is used to get the elements in sorted order for BST.
Example:
Consider the following BST:
50
/ \
30 70
/ \ / \
20 40 60 80
Inorder traversal of the given tree will output the data in sorted order.
Inorder Traversal: 20 30 40 50 60 70 80
Other Traversals:
Preorder, Postorder, and Level order traversals don't follow the order of keys in a BST.
- Preorder traversal follows the order of Root-Left-Right.
- Postorder traversal follows the order of Left-Right-Root.
- Level order traversal visits the nodes level by level from left to right.
Therefore, inorder traversal is the only traversal that outputs data in sorted order for a BST.
In a Binary Search Tree (BST), each node has a key greater than all the keys in its left subtree and smaller than all the keys in its right subtree. Therefore, inorder traversal of a BST visits the nodes in ascending order of their keys.
Inorder Traversal:
Inorder traversal follows the order of Left-Root-Right. It starts from the left subtree, visits the root node, and then the right subtree. This traversal is used to get the elements in sorted order for BST.
Example:
Consider the following BST:
50
/ \
30 70
/ \ / \
20 40 60 80
Inorder traversal of the given tree will output the data in sorted order.
Inorder Traversal: 20 30 40 50 60 70 80
Other Traversals:
Preorder, Postorder, and Level order traversals don't follow the order of keys in a BST.
- Preorder traversal follows the order of Root-Left-Right.
- Postorder traversal follows the order of Left-Right-Root.
- Level order traversal visits the nodes level by level from left to right.
Therefore, inorder traversal is the only traversal that outputs data in sorted order for a BST.
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Community Answer
Which of the following traversal outputs the data in sorted order in a...
Inorder traversal of a BST outputs data in sorted order. Read here for details.
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Which of the following traversal outputs the data in sorted order in a BST?a)Preorderb)Inorderc)Postorderd)Level orderCorrect answer is option 'B'. Can you explain this answer?
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