Question

Suppose the numbers 7, 5, 1, 8, 3, 6, 0, 9, 4, 2 are inserted in that order into an initially empty binary search tree. The binary search tree uses the usual ordering on natural numbers. What is the in-order traversal sequence of the resultant tree?.

Answer 1

In order traversal sequence of the resultant tree is 0 1 2 3 4 5 6 7 8 9.

What is tree transversal?

In this traversal method, the left subtree is visited first, then the root and later the right sub-tree. We should always remember that every node may represent a subtree itself.

If a binary tree is traversed in-order, the output will produce sorted key values in an ascending order.

Given:

7, 5, 1, 8, 3, 6, 0, 9, 4, 2 are inserted in that order into an initially empty binary search tree.

In order traversal:

In this traversal method, the left subtree is visited first, then the root and later the right sub-tree. We should always remember that every node may represent a subtree itself.

If a binary tree is traversed in-order, the output will produce sorted key values in an ascending order.

So, the sequence, 7, 5, 1, 8, 3, 6, 0, 9, 4, 2  are inserted in the order at the initially empty binary tree. And the binary search tree uses the usual ordering on natural numbers.

As, In-order traversal of a Binary search tree gives elements in increasing order.

Hence, the order of the elements in in order traversal is 0,1,2,3,4,5,6,7,8,9.

Learn more about in order traversal here:

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