107. Binary Tree Level Order Traversal II

Given a binary tree, return the bottom-up level order traversal of its nodes’ values. (ie, from left to right, level by level from leaf to root).

For example:
Given binary tree [3,9,20,null,null,15,7],

    3
   / \
  9  20
    /  \
   15   7

 

return its bottom-up level order traversal as:

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

1.按层访问树,唯一的办法就是使用队列,依次访问每个节点。难点在于怎么确定每层的边界,我使用一个辅助队列,记录每层的元素,当辅助队列空时,代表这一层的所有元素都访问过了。

2.从下到上和从上到下的顺序,可以借助堆栈实现反序。

public class LevelOrderBottom {
    public static List<List<Integer>> levelOrderBottom(TreeNode root) {
        if(root == null){
            return null;
        }
        Stack<List<Integer>> stack = new Stack<>();
        LinkedList<TreeNode> q1 = new LinkedList<>();
        LinkedList<TreeNode> q2 = new LinkedList<>();
        q1.add(root);
        q2.add(root);
        while(q1.size() > 0){
            List<Integer> levelList = new ArrayList<>();
            while(q1.size() > 0 && q2.size() > 0){
                q2.removeFirst();
                if(q1.getFirst().left != null) {
                    q1.add(q1.getFirst().left);
                }
                if(q1.getFirst().right != null) {
                    q1.add(q1.getFirst().right);
                }
                levelList.add(q1.removeFirst().val);
            }
            q2.addAll(q1);
            stack.add(levelList);
        }
        //reverse the stack
        List<List<Integer>> list = new ArrayList<>();
        while(!stack.isEmpty()) {
            list.add(stack.pop());
        }
        return list;
    }

    public static void main(String[] args){
        TreeNode root = new TreeNode(3);
        TreeNode node1 = new TreeNode(9);
        TreeNode node2 = new TreeNode(20);
        TreeNode node3 = new TreeNode(15);
        TreeNode node4 = new TreeNode(7);
        root.left = node1;
        root.right = node2;
        node2.left = node3;
        node2.right = node4;
        List<List<Integer>> list = LevelOrderBottom.levelOrderBottom(root);
        for(List<Integer> item : list){
            for(Integer val : item){
                System.out.print(" " + val +" ");
            }
            System.out.println();
        }
    }
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