Binary Tree Zigzag Level Order Traversal

Given a binary tree, return the zigzag level order traversal of its nodes' values. (ie, from left to right, then right to left for the next level and alternate between).

For example:
Given binary tree {3,9,20,#,#,15,7},

    3
   / \
  9  20
    /  \
   15   7

return its zigzag level order traversal as:

[
  [3],
  [20,9],
  [15,7]
]

confused what "{1,#,2,3}" means? > read more on how binary tree is serialized on OJ.


Analysis: It is similar as the binary tree level order traversal, i.e., use BFS. However, the frontier and next here are more suitable for using Stack instead of Queue. We just use a boolean variable as the flag to determine the order to put into the stack (left to right, or, say, right to left). 

/**
 * Definition for binary tree
 * public class TreeNode {
 *     int val;
 *     TreeNode left;
 *     TreeNode right;
 *     TreeNode(int x) { val = x; }
 * }
 */
public class Solution {
    public ArrayList<ArrayList<Integer>> zigzagLevelOrder(TreeNode root) {
        ArrayList<ArrayList<Integer>> res = new ArrayList<ArrayList<Integer>>();
        if(root==null) return res;
        boolean leftToRight = false;
        Stack<TreeNode> frontier = new Stack<TreeNode>();
        frontier.push(root);
        while(!frontier.isEmpty()) {
            Stack<TreeNode> next = new Stack<TreeNode>();
            ArrayList<Integer> tem = new ArrayList<Integer>();
            while(!frontier.isEmpty()) {
                TreeNode current = frontier.pop();
                tem.add(current.val);
                if(!leftToRight) {  // right to left traversal
                    if(current.left!=null) next.push(current.left);
                    if(current.right!=null) next.push(current.right);
                }
                else {              // left to right traversal
                    if(current.right!=null) next.push(current.right);
                    if(current.left!=null) next.push(current.left);
                }
            }
            res.add(tem);
            leftToRight = !leftToRight;
            frontier = next;
        }
        return res;
    }
}

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