Question

Consider the following New-order strategy for traversing a binary tree: 

• Visit the root; 

• Visit the right subtree using New-order; 

• Visit the left subtree using New-order; 

The New-order traversal of the expression tree corresponding to the reverse polish expression 3 4 * 5 - 2 ˆ 6 7 * 1 + - is given by: 

(A) + - 1 6 7 * 2 ˆ 5 - 3 4 * 

(B) - + 1 * 6 7 ˆ 2 - 5 * 3 4 

(C) - + 1 * 7 6 ˆ 2 - 5 * 4 3 

(D) 1 7 6 * + 2 5 4 3 * - ˆ -

Answer 1

(C) - + 1 * 7 6 ˆ 2 - 5 * 4 3 

Given is the post fix expression the expression tree given below.

New-order of above expression tree is

− + ∧ − 1* 76∧2 - 5* 43