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]
]

层次遍历,每一层加入一个vector<int> cur

当遍历到新一层时,将cur加入result,并清空,准备记录新一层数据。

以root为第0层,则奇数层的cur在加入result之前要reverse,变为从右往左。

以上描述涉及两个问题:

1、怎么知道当前在第几层?

2、怎么知道当前进入了新层?

解决:

1、为了判断遍历到的层数,设置一个Node结构,里面存放level。level从0起计数。

第i层的节点将子女进队列时,层数设为i+1。

2、设置一个变量lastLevel,记录上一个pop出来节点的层数。

如果当前pop出来节点的层数为lastLevel+1,即为到了新的层次。

/**
* Definition for binary tree
* struct TreeNode {
* int val;
* TreeNode *left;
* TreeNode *right;
* TreeNode(int x) : val(x), left(NULL), right(NULL) {}
* };
*/ struct Node
{
TreeNode* tNode;
int level;
Node(TreeNode* newtNode, int newlevel): tNode(newtNode), level(newlevel) {}
}; class Solution {
public:
vector<vector<int> > zigzagLevelOrder(TreeNode *root) {
vector<vector<int> > ret;
if(!root)
return ret;
// push root
Node* rootNode = new Node(root, );
queue<Node*> Nqueue;
Nqueue.push(rootNode); vector<int> cur;
int curlevel = ;
while(!Nqueue.empty())
{
Node* frontNode = Nqueue.front();
Nqueue.pop(); if(frontNode->level > curlevel)
{
if(curlevel% == )
reverse(cur.begin(), cur.end());
ret.push_back(cur);
cur.clear();
curlevel = frontNode->level;
} cur.push_back(frontNode->tNode->val); if(frontNode->tNode->left)
{
Node* leftNode = new Node(frontNode->tNode->left, frontNode->level+);
Nqueue.push(leftNode);
}
if(frontNode->tNode->right)
{
Node* rightNode = new Node(frontNode->tNode->right, frontNode->level+);
Nqueue.push(rightNode);
}
}
if(curlevel% == )
reverse(cur.begin(), cur.end());
ret.push_back(cur);
return ret;
}
};

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