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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?
  1. 7 5 1 0 3 2 4 6 8 9
  2. 0 2 4 3 1 6 5 9 8 7
  3. 0 1 2 3 4 5 6 7 8 9
  4. 9 8 6 4 2 3 0 1 5 7
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Suppose the numbers 7, 5, 1, 8, 3, 6, 0, 9, 4, 2 are inserted in that ...
Insert 7, 5, 1, 8, 3, 6, 0, 9, 4, 2 in empty binary search tree by using reverser ordering

Binary search tree:
 
 
Inorder traversal = 9, 8, 7, 6, 5, 4, 3, 2, 1, 0

Tips and Tricks:
In-order of the binary tree is always sorted in ascending order but binary search tree uses the reversal ordering on natural numbers

Therefore it is sorted in descending order.

So, Correct Answer is Option D
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Most Upvoted Answer
Suppose the numbers 7, 5, 1, 8, 3, 6, 0, 9, 4, 2 are inserted in that ...
In-Order Traversal of a Binary Search Tree

The in-order traversal of a binary search tree visits the nodes in ascending order of their keys.

Algorithm for In-Order Traversal of a Binary Search Tree

1. Traverse the left subtree by recursively calling the in-order traversal function on the left child.
2. Visit the current node.
3. Traverse the right subtree by recursively calling the in-order traversal function on the right child.

Solution

Inserting the numbers 7, 5, 1, 8, 3, 6, 0, 9, 4, 2 in that order into an initially empty binary search tree results in the following tree:

7
/ \
5 8
/ \ \
1 6 9
/ \ /
0 3 4
/ \
2 4

Applying the in-order traversal algorithm to the above tree, we get the following sequence:

0 1 2 3 4 4 5 6 7 8 9

Therefore, the correct answer is option 'D'.
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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?7 5 1 0 3 2 4 6 8 90 2 4 3 1 6 5 9 8 70 1 2 3 4 5 6 7 8 99 8 6 4 2 3 0 1 5 7Correct answer is option 'D'. Can you explain this answer?
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