Consider the following $\text{New-order}$ strategy for traversing a binary tree: • Visit the root;• Visit the right subtree using $\text{New-order}$; • Visit the left subtree using $\text{New-order}$; The $\text{New-order}$ traversal of the expression tree corresponding to the reverse polish expression 3 4 * 5 - 2 ^ 6 7 * 1 + - is given by:

To find the $\text{New-order}$ traversal, first construct the binary expression tree from the reverse Polish (postfix) expression: 3 4 * 5 - 2 ^ 6 7 * 1 + -.

1. 3, 4, *$\implies (* \text{ with left } 3, \text{ right } 4)$

2. 5, -$\implies (- \text{ with left } (* \ 3 \ 4), \text{ right } 5)$

3. 2, ^$\implies (^ \text{ with left } (- \dots 5), \text{ right } 2)$

4. 6, 7, *$\implies (* \text{ with left } 6, \text{ right } 7)$

5. 1, +$\implies (+ \text{ with left } (* \ 6 \ 7), \text{ right } 1)$

6. - $\implies (- \text{ with left } (^ \dots 2), \text{ right } (+ \dots 1))$

The root of the expression tree is -.

• Left subtree:$(^ \text{ with left } (- \ (* \ 3 \ 4) \ 5) \text{ and right } 2)$

• Right subtree:$(+ \text{ with left } (* \ 6 \ 7) \text{ and right } 1)$

Now, perform the $\text{New-order}$ traversal (Root $\to$ Right $\to$ Left):

• Visit Root: -

• Visit Right Subtree (+ (* 6 7) 1):

  • Root: +

  • Right: 1

  • Left: (* 6 7) $\implies$ Root: *, Right: 7, Left: 6$\implies * \ 7 \ 6$

  • Result for right subtree: + 1 * 7 6

• Visit Left Subtree (^ (- (* 3 4) 5) 2):

  • Root: ^

  • Right: 2

  • Left: (- (* 3 4) 5) $\implies$ Root: -, Right: 5, Left: (* 3 4) $\implies$ Root: *, Right: 4, Left: 3$\implies * \ 4 \ 3$

  • Result for left subtree: ^ 2 - 5 * 4 3

Concatenating these gives:

This matches option C.