** 递归遍历 **
leetcode链接:前序遍历:https://leetcode.cn/problems/binary-tree-preorder-traversal/description/ 中序遍历:https://leetcode.cn/problems/binary-tree-inorder-traversal/submissions/682955973/ 后序遍历:https://leetcode.cn/problems/binary-tree-postorder-traversal/submissions/682955496/
题目描述:使用递归遍历实现二叉树的前中后序遍历。
核心思路:前序即是:中左右节点进行遍历 中序是:左中右节点遍历。 后序是左右中节点遍历。 递归法需注意:终止条件(cur == NULL)
点击查看代码
//前序遍历
```cpp
class Solution {
public:
void trvalseval(TreeNode* cur,vector<int>& vec){
if(cur == NULL)return;
vec.push_back(cur->val);//中
trvalseval(cur->left,vec);//左
trvalseval(cur->right,vec);//右
}
vector<int> preorderTraversal(TreeNode* root) {
vector<int> vec;
trvalseval(root,vec);
return vec;
}
};
//后序遍历
```cpp
class Solution {
public:
void traversal(TreeNode* cur,vector<int>& vec){
if(cur == NULL)return;
traversal(cur->left,vec);
traversal(cur->right,vec);
vec.push_back(cur->val);
}
vector<int> postorderTraversal(TreeNode* root) {
vector<int> result;
traversal(root,result);
return result;
}
};
//中序遍历
```cpp
class Solution {
public:
void traversal(TreeNode* cur,vector<int>& vec){
if(cur == NULL)return;
traversal(cur->left,vec);
vec.push_back(cur->val);
traversal(cur->right,vec);
}
vector<int> inorderTraversal(TreeNode* root) {
vector<int> result;
traversal(root,result);
return result;
}
};
点击查看代码
//前序
```cpp
class Solution {
public:
vector<int> preorderTraversal(TreeNode* root) {
vector<int> vec;
if(root == NULL)return vec;
stack<TreeNode*> st;
st.push(root);
while(!st.empty()){
TreeNode* cur = st.top();
st.pop();
vec.push_back(cur->val);
//此处需注意,一轮循环中,左节点和右节点都有遍历。
if(cur->right != NULL){
//cur = cur->right;
st.push(cur->right);
}
if(cur->left != NULL){
//cur = cur->left;
st.push(cur->left);
}
}
return vec;
}
};
//中序
```cpp
class Solution {
public:
vector<int> inorderTraversal(TreeNode* root) {
vector<int> result;
stack<TreeNode*> st;
if(root == NULL)return result;
TreeNode* cur = root;
while(cur != NULL || !st.empty()){
if(cur != NULL){
st.push(cur);
cur = cur->left;
}
else{
cur = st.top();
result.push_back(cur->val);
cur = cur->right;
st.pop();
}
}
return result;
}
};
//后序
```cpp
class Solution {
public:
vector<int> postorderTraversal(TreeNode* root) {
vector<int> result;
if(root == NULL)return result;
stack<TreeNode*> st;
st.push(root);
//不需要cur!=NULL,因为cur永远不会是NULL,除非root为空,未判断
while(!st.empty()){
TreeNode* cur = st.top();
result.push_back(cur->val);
st.pop();
if(cur->left != NULL){
st.push(cur->left);
}
if(cur->right != NULL){
st.push(cur->right);
}
}
reverse(result.begin(),result.end());
return result;
}
};