Question
Given a binary tree, a "zigzag" level order traversal
prints the nodes level by level, but alternating the order of nodes from left-to-right and right-to-left for successive levels. Â Â For example, Level 0 (root) is L-R, Level 1 is R-L, Level 2 is L-R, and so on. Â Â Consider the following binary tree: Â Â ``` Â Â Â Â Â 3 Â Â Â Â Â / \ Â Â Â Â 9Â 20 Â Â Â Â Â /Â \ Â Â Â Â Â 15Â Â 7 Â Â ``` Â Â What is the output of a zigzag level order traversal for this tree?ÂSolution
A zigzag level order traversal alternates the direction of traversal for each level. Â Â Â Â Â Â Level 0 (Left-to-Right): `3` Â Â Â Â Â Â Level 1 (Right-to-Left): Children of `3` are `9` (left) and `20` (right). In right-to-left order: `20, 9`. Â Â Â Â Â Â Level 2 (Left-to-Right): Children of `20` are `15` (left) and `7` (right). In left-to-right order: `15, 7`. (Node `9` has no children in this example). Â Â Â Â Combining these, the output is `3, 20, 9, 15, 7`.
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