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Binary Tree Level Order Traversal

Given a binary tree, return the level order traversal of its nodes‘ values. (ie, from left to right, level by level).

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

    3   /   9  20    /     15   7

 

return its level order traversal as:

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

 思路:每一次一层中的所有结点插入到一个vector<TreeNode*>中,然后将这一层中的vector<TreeNode*>插入到包含所有层的vector<vector<TreeNode*> >中。从根结点开始,每次取出一层,访问该层的所以结点,如果其左右子树不为空,则将其左右子树加入到vector<TreeNode*>中,最后在将这一层插入到vector<vector<TreeNode*>>中,每次都是针对最后一层进行的操作。

C++代码实现:

#include<iostream>#include<new>#include<vector>using namespace std;//Definition for binary treestruct TreeNode{    int val;    TreeNode *left;    TreeNode *right;    TreeNode(int x) : val(x), left(NULL), right(NULL) {}};class Solution{public:    vector<vector<int> > levelOrder(TreeNode *root)    {        vector<vector<int> > vec;        vector<vector<TreeNode*> > rvec;        size_t i=0;        if(root==NULL)            return vector<vector<int> >();        vec.push_back({root->val});        rvec.push_back({root});        vector<int> v1;        vector<TreeNode*> v2;        while(vec.size()&&rvec.size())        {            v1.clear();            v2.clear();            for(i=0; i<rvec[rvec.size()-1].size(); i++)            {                cout<<"level : "<<vec.size()<<"val: "<<vec[rvec.size()-1][i]<<endl;                TreeNode *tmp=rvec[rvec.size()-1][i];                cout<<"level : "<<vec.size()<<"node: "<<tmp->val<<endl;                if(tmp->left)                {                    v1.push_back(tmp->left->val);                    v2.push_back(tmp->left);                }                if(tmp->right)                {                    v1.push_back(tmp->right->val);                    v2.push_back(tmp->right);                }            }            if(!v1.empty()&&!v2.empty())            {                vec.push_back(v1);                rvec.push_back(v2);            }            else                break;        }        return vec;    }    void createTree(TreeNode *&root)    {        int i;        cin>>i;        if(i!=0)        {            root=new TreeNode(i);            if(root==NULL)                return;            createTree(root->left);            createTree(root->right);        }    }};int main(){    Solution s;    TreeNode *root;    s.createTree(root);    vector<vector<int> > vec=s.levelOrder(root);    for(auto a:vec)    {        for(auto v:a)            cout<<v<<" ";        cout<<endl;    }}

运行结果:

Binary Tree Level Order Traversal