Which traversal of a Binary Expression Tree would evaluate the expression in postfix (reverse Polish) notation?a)Postorderb)Preorderc)Level-orderd)Inorder
Question
Which traversal of a Binary Expression Tree would evaluate the expression in postfix (reverse Polish) notation?
a) Postorder
b) Preorder
c) Level-order
d) Inorder
Solution
The traversal of a Binary Expression Tree that would evaluate the expression in postfix (reverse Polish) notation is a) Postorder.
Here's why:
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In a Binary Expression Tree, each node corresponds to an operator or an operand. The root of the tree is the main operator, and the left and right subtrees are the operands.
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Postfix notation, also known as Reverse Polish Notation (RPN), is a mathematical notation in which every operator follows all of its operands.
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The postorder traversal of a binary tree visits the left subtree, then the right subtree, and finally the root. This is exactly the order required for postfix notation.
So, the correct answer is a) Postorder.
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