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Consider the following nested representation of binary trees: (X Y Z) indicates Y and Z are the left and right sub stress, respectively, of node X. Note that Y and Z may be NULL, or further nested. Which of the following represents a valid binary tree?
  • a)
    (1 2 (4 5 6 7))
  • b)
    (1 (2 3 4) 5 6) 7)
  • c)
    (1 (2 3 4)(5 6 7))
  • d)
    (1 (2 3 NULL) (4 5))
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Consider the following nested representation of binary trees: (X Y Z) ...
(1 (2 3 4)(5 6 7)) represents following binary tree

A) (1 2 (4 5 6 7)) is not fine as there are 4 elements in one bracket. B) (1 (2 3 4) 5 6) 7) is not fine as there are 2 opening brackets and 3 closing. D) (1 (2 3 NULL) (4 5)) is not fine one bracket has only two entries (4 5)
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Most Upvoted Answer
Consider the following nested representation of binary trees: (X Y Z) ...
Explanation:

  • The nested representation of binary trees is given as (X Y Z) which indicates that Y and Z are the left and right sub-trees, respectively, of node X.

  • The sub-trees Y and Z may be NULL or further nested.

  • A valid binary tree should follow the rules of binary tree representation i.e. each parent node can have at most two child nodes and the child nodes should be either NULL or further nested nodes.

  • Let's analyze each option:


    • Option 'a' represents a node with three child nodes which is invalid.

    • Option 'b' represents a node with four child nodes which is also invalid.

    • Option 'c' represents a valid binary tree as each parent node has at most two child nodes which can be further nested.

    • Option 'd' represents a node with three child nodes which is invalid.


  • Therefore, the correct answer is option 'c'.

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Question Description
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