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Which traversal technique can be used to obtain a sorted sequence of elements from a binary search tree?
- a)Preorder traversal.
- b)Inorder traversal.
- c)Postorder traversal.
- d)Level order traversal.
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Which traversal technique can be used to obtain a sorted sequence of e...
Inorder traversal of a binary search tree visits the nodes in ascending order of their values. Therefore, it can be used to obtain a sorted sequence of elements from a binary search tree.
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Which traversal technique can be used to obtain a sorted sequence of e...
Explanation:
In a binary search tree (BST), elements are stored in such a way that the values of the left subtree are less than the root node, and the values of the right subtree are greater than the root node.
To obtain a sorted sequence of elements from a BST, we can use the inorder traversal technique. In inorder traversal, we recursively traverse the left subtree, visit the root node, and then recursively traverse the right subtree. This ensures that we visit the nodes in ascending order.
Here's how the inorder traversal works:
1. Start at the root node.
2. Recursively traverse the left subtree.
3. Visit the current node.
4. Recursively traverse the right subtree.
Example:
Let's consider the following binary search tree:
```
5
/ \
3 7
/ \ \
2 4 8
```
When we perform an inorder traversal on this tree, the sequence of nodes visited will be: 2, 3, 4, 5, 7, 8. As we can see, the elements are visited in ascending order.
Benefits of Inorder Traversal:
1. Inorder traversal gives us a sorted sequence of elements from a binary search tree.
2. It allows us to efficiently retrieve elements in sorted order.
3. It can be used to validate whether a binary tree is a valid binary search tree.
Therefore, the correct answer is option B) Inorder traversal to obtain a sorted sequence of elements from a binary search tree.
In a binary search tree (BST), elements are stored in such a way that the values of the left subtree are less than the root node, and the values of the right subtree are greater than the root node.
To obtain a sorted sequence of elements from a BST, we can use the inorder traversal technique. In inorder traversal, we recursively traverse the left subtree, visit the root node, and then recursively traverse the right subtree. This ensures that we visit the nodes in ascending order.
Here's how the inorder traversal works:
1. Start at the root node.
2. Recursively traverse the left subtree.
3. Visit the current node.
4. Recursively traverse the right subtree.
Example:
Let's consider the following binary search tree:
```
5
/ \
3 7
/ \ \
2 4 8
```
When we perform an inorder traversal on this tree, the sequence of nodes visited will be: 2, 3, 4, 5, 7, 8. As we can see, the elements are visited in ascending order.
Benefits of Inorder Traversal:
1. Inorder traversal gives us a sorted sequence of elements from a binary search tree.
2. It allows us to efficiently retrieve elements in sorted order.
3. It can be used to validate whether a binary tree is a valid binary search tree.
Therefore, the correct answer is option B) Inorder traversal to obtain a sorted sequence of elements from a binary search tree.
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Which traversal technique can be used to obtain a sorted sequence of elements from a binary search tree?a)Preorder traversal.b)Inorder traversal.c)Postorder traversal.d)Level order traversal.Correct answer is option 'B'. Can you explain this answer?
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