Add C++ code for the chapter binary tree.

This commit is contained in:
Yudong Jin
2022-11-29 02:21:49 +08:00
parent 980eaf65e0
commit d2db8b8d60
14 changed files with 613 additions and 17 deletions

View File

@ -18,6 +18,35 @@ comments: true
}
```
=== "C++"
```cpp
/* 链表结点结构体 */
struct TreeNode {
int val; // 结点值
TreeNode *left; // 左子结点指针
TreeNode *right; // 右子结点指针
TreeNode(int x) : val(x), left(nullptr), right(nullptr) {}
};
```
=== "Python"
```python
""" 链表结点类 """
class TreeNode:
def __init__(self, val=0, left=None, right=None):
self.val = val # 结点值
self.left = left # 左子结点指针
self.right = right # 右子结点指针
```
=== "Go"
```go
```
结点的两个指针分别指向「左子结点 Left Child Node」和「右子结点 Right Child Node」并且称该结点为两个子结点的「父结点 Parent Node」。给定二叉树某结点将左子结点以下的树称为该结点的「左子树 Left Subtree」右子树同理。
![binary_tree_definition](binary_tree.assets/binary_tree_definition.png)
@ -84,20 +113,75 @@ comments: true
n2.right = n5;
```
=== "C++"
```cpp title="binary_tree.cpp"
/* 初始化二叉树 */
// 初始化结点
TreeNode* n1 = new TreeNode(1);
TreeNode* n2 = new TreeNode(2);
TreeNode* n3 = new TreeNode(3);
TreeNode* n4 = new TreeNode(4);
TreeNode* n5 = new TreeNode(5);
// 构建引用指向(即指针)
n1->left = n2;
n1->right = n3;
n2->left = n4;
n2->right = n5;
```
=== "Python"
```python title="binary_tree.py"
```
=== "Go"
```go title="binary_tree.go"
```
**插入与删除结点。** 与链表类似,插入与删除结点都可以通过修改指针实现。
![binary_tree_add_remove](binary_tree.assets/binary_tree_add_remove.png)
<p align="center"> Fig. 在二叉树中插入与删除结点 </p>
```java title="binary_tree.java"
TreeNode P = new TreeNode(0);
// 在 n1 -> n2 中间插入结点 P
n1.left = P;
P.left = n2;
// 删除结点 P
n1.left = n2;
```
=== "Java"
```java title="binary_tree.java"
TreeNode P = new TreeNode(0);
// 在 n1 -> n2 中间插入结点 P
n1.left = P;
P.left = n2;
// 删除结点 P
n1.left = n2;
```
=== "C++"
```cpp title="binary_tree.cpp"
/* 插入与删除结点 */
TreeNode* P = new TreeNode(0);
// 在 n1 -> n2 中间插入结点 P
n1->left = P;
P->left = n2;
// 删除结点 P
n1->left = n2;
```
=== "Python"
```python title="binary_tree.py"
```
=== "Go"
```go title="binary_tree.go"
```
!!! note
@ -140,6 +224,41 @@ n1.left = n2;
}
```
=== "C++"
```cpp title="binary_tree_bfs.cpp"
/* 层序遍历 */
vector<int> hierOrder(TreeNode* root) {
// 初始化队列,加入根结点
queue<TreeNode*> queue;
queue.push(root);
// 初始化一个列表,用于保存遍历序列
vector<int> vec;
while (!queue.empty()) {
TreeNode* node = queue.front();
queue.pop(); // 队列出队
vec.push_back(node->val); // 保存结点
if (node->left != NULL)
queue.push(node->left); // 左子结点入队
if (node->right != NULL)
queue.push(node->right); // 右子结点入队
}
return vec;
}
```
=== "Python"
```python title="binary_tree_bfs.py"
```
=== "Go"
```go title="binary_tree_bfs.go"
```
### 前序、中序、后序遍历
相对地,前、中、后序遍历皆属于「深度优先遍历 Depth-First Traversal」其体现着一种 “先走到尽头,再回头继续” 的回溯遍历方式。
@ -191,6 +310,49 @@ n1.left = n2;
}
```
=== "C++"
```cpp title="binary_tree_dfs.cpp"
/* 前序遍历 */
void preOrder(TreeNode* root) {
if (root == nullptr) return;
// 访问优先级:根结点 -> 左子树 -> 右子树
vec.push_back(root->val);
preOrder(root->left);
preOrder(root->right);
}
/* 中序遍历 */
void inOrder(TreeNode* root) {
if (root == nullptr) return;
// 访问优先级:左子树 -> 根结点 -> 右子树
inOrder(root->left);
vec.push_back(root->val);
inOrder(root->right);
}
/* 后序遍历 */
void postOrder(TreeNode* root) {
if (root == nullptr) return;
// 访问优先级:左子树 -> 右子树 -> 根结点
postOrder(root->left);
postOrder(root->right);
vec.push_back(root->val);
}
```
=== "Python"
```python title="binary_tree_dfs.py"
```
=== "Go"
```go title="binary_tree_dfs.go"
```
!!! note
使用循环一样可以实现前、中、后序遍历,但代码相对繁琐,有兴趣的同学可以自行实现。