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,null,null,15,7],

    3
   / \
  9  20
    /  \
   15   7

return its zigzag level order traversal as:

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

M1: BFS

time: O(n), space: O(2^height)

/**
 * Definition for a binary tree node.
 * public class TreeNode {
 *     int val;
 *     TreeNode left;
 *     TreeNode right;
 *     TreeNode(int x) { val = x; }
 * }
 */
class Solution {
    public List<List<Integer>> zigzagLevelOrder(TreeNode root) {
        List
 
<List<Integer>> res = new ArrayList<>();
        Queue<TreeNode> q = new LinkedList<>();
        if(root == null) {
            return res;
        }
        
        boolean reverse = false;
        q.offer(root);
        while(!q.isEmpty()) {
            List<Integer> level = new
 
 ArrayList<>();
            int size = q.size();
            for(int i = 0; i < size; i++) {
                TreeNode tmp = q.poll();
                if(reverse) {
                    level.add(0, tmp.val);
                } else {
                    level.add(tmp.val);
                }
                if(tmp.left != null) {
                    q.offer(tmp.left);
                }
                if(tmp.right != null) {
                    q.offer(tmp.right);
                }
            }
            reverse = !reverse;
            res.add(level);
        }
        return res;
    }
}

M2: recursion

time: O(n), space: O(height)

/**
 * Definition for a binary tree node.
 * public class TreeNode {
 *     int val;
 *     TreeNode left;
 *     TreeNode right;
 *     TreeNode(int x) { val = x; }
 * }
 */
class Solution {
    public List<List<Integer>> zigzagLevelOrder(TreeNode root) {
        List<List<Integer>> res = new ArrayList<>();
        if(root == null) {
            return res;
        }
        levelOrder(root, 0, res);
        return res;
    }
    
    public void levelOrder(TreeNode root, int level, List<List<Integer>> res) {
        if(root == null) {
            return;
        }
        if(res.size() == level) {
            res.add(new ArrayList<>());
        }
        if(level % 2 == 0) {
            res.get(level).add(root.val);
        } else {
            res.get(level).add(0, root.val);
        }
        
        levelOrder(root.left, level + 1, res);
        levelOrder(root.right, level + 1, res);
    }
}