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The time complexity of calculating the sum of all leaf nodes in an n-order binary tree is __________

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The time complexity of calculating the sum of all leaf nodes in an n-order binary tree is __________

(a) O(n^2)

(b) O(n+1)

(c) O(1)

(d) O(n)

The question was asked in an interview for internship.

The query is from Tree Traversal topic in chapter Trees of Discrete Mathematics

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The correct option is (d) O(n)

To elaborate: The approach is to traverse the binary tree in any fashion and check if the node is the leaf node(child node)or not. After that, add node data to the sum variable. So, after summing up all leaf nodes, the time complexity of the operation should be O(n).

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