Which traversal method is used to get the elements of a BST in non-decreasing order?
Question
Which traversal method is used to get the elements of a BST in non-decreasing order?
Solution
The traversal method used to get the elements of a Binary Search Tree (BST) in non-decreasing order is the In-Order Traversal.
Here are the steps for In-Order Traversal:
- Traverse the left subtree, i.e., call In-Order Traversal on the left child.
- Visit the root.
- Traverse the right subtree, i.e., call In-Order Traversal on the right child.
In this way, you will get the elements in non-decreasing order because for any given node in a BST, all elements in its left subtree are less than the node, and all elements in its right subtree are greater than the node. Therefore, by visiting the left child, the root, and then the right child, you are visiting the nodes in ascending (non-decreasing) order.
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