Question

Construct a binary search tree for the following sequence. Also, perform the inorder and postorder traversal for the same:

45, 56, 39, 12, 34, 78, 54, 67, 10, 32, 89, 81.

Answer 1

A binary search tree is constructed by inserting elements in a way that maintains the BST property, and its inorder and postorder traversals are performed, resulting in sorted and hierarchical sequences, respectively.

Step-by-step explanation:

The correct answer is option Mathematics, but more specifically, it involves data structures in the field of computer science.

The binary search tree (BST) for the given sequence 45, 56, 39, 12, 34, 78, 54, 67, 10, 32, 89, 81 can be constructed by inserting the elements one by one and ensuring that at any node, all elements in the left subtree are less than the node's value, and all elements in the right subtree are greater.

Inorder Traversal

The inorder traversal of the constructed BST results in a sorted sequence of the input numbers: 10, 12, 32, 34, 39, 45, 54, 56, 67, 78, 81, 89.

Postorder Traversal

The postorder traversal of the constructed BST yields the sequence: 10, 12, 32, 34, 39, 54, 67, 81, 89, 78, 56, 45.