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Consider the new order traversal of a binary tree:
  • Visit right sub-tree using new order traversal.
  • Visit root.
  • Visit left sub-tree using new order traversal.
The post-order traversal of a binary tree is 3, 2, 3, 5, +, ↑, *, 1, -. What is the new order traversal of the same tree?
  • a)
    1, 5, -, +, 3, ↑, 2, *, 3
  • b)
    1, -, 5, +, 3, ↑, 2, 3, *
  • c)
    1, -, 5, +, 3, ↑, 2, *, 3
  • d)
    1, -, 5, 3, +, ↑, 2, *, 3
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Consider the new order traversal of a binary tree: Visit right sub-tre...
In post-order traversal, the left subtree is traversed first, then the right subtree and finally the root node.
According to the given post-order traversal, the root node should be '-' because it comes at the last in the expression. Similarly, 3 should be the leftmost node of the tree because it is at the starting of the expression. This process is continued and the resulting tree is obtained.
The equivalent expression tree for the given post-order traversal is:
Therefore, the new order traversal is: 1, -, 5, +, 3, ↑, 2, *, 3.
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Consider the new order traversal of a binary tree: Visit right sub-tree using new order traversal. Visit root. Visit left sub-tree using new order traversal.The post-order traversal of a binary tree is 3, 2, 3, 5, +,↑, *, 1, -. What is the new order traversal of the same tree?a)1, 5, -, +, 3, ↑, 2, *, 3b)1, -, 5, +, 3, ↑, 2, 3, *c)1, -, 5, +, 3, ↑, 2, *, 3d)1, -, 5, 3, +, ↑, 2, *, 3Correct answer is option 'C'. Can you explain this answer?
Question Description
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