二叉树的基本操作

最新推荐文章于 2020-09-15 19:40:38 发布

原创最新推荐文章于 2020-09-15 19:40:38 发布 · 178 阅读

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#二叉树基本操作

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博客围绕二叉树基本操作展开，虽未给出具体内容，但可知聚焦于信息技术领域的数据结构中二叉树相关操作，这在数据处理和算法设计等方面有重要作用。

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#include<iostream>
#include<queue> 
using namespace std;
//疑问1：如何进行中序进行创建 
typedef struct Node{
	char date;
	Node *lchild,*rchild;
}Node,*BTree;
void PreCreateBTree(BTree &T);//先序创建
void vist(BTree node){cout<<node->date;}
void PreOderBTree(BTree T,void(*vist) (BTree));//先序遍历
void InOderBTree(BTree T,void(*vist) (BTree));//中序遍历 
void CountLeaf(BTree T,int &count);//求叶子节点数
int CountLeaf(BTree T);//求叶子数（左右树之和） 
//求树的高度  //为什么这样就可以？？？？？ 
int CountHigh(BTree T);//求树的高度 
int CountD(BTree T);//求树的结点数（左子树节点+右子树节点+根 ） 
void CountD2(BTree T,int &num);//通过遍历一遍求结点 
void LeavelTree(BTree T);//层次遍历 
int count,num;
int main(){
	BTree T;
	PreCreateBTree(T);
	//InOderBTree(T,vist);
	cout<<"层次遍历:"<<endl;
	LeavelTree(T);
	cout<<endl<<"先序遍历:"<<endl;
	PreOderBTree(T,vist);
	cout<<endl;
	CountLeaf(T,count);
	cout<<"叶子数: "<<count<<endl;
	cout<<"叶子数: "<<CountLeaf(T)<<endl;
	cout<<"树高: "<<CountHigh(T)<<endl; 
	cout<<"结点数："<<CountD(T)<<endl;
	CountD2(T,num);
	cout<<"结点数："<<num<<endl;
}
void PreCreateBTree(BTree &T){
	char ch;
	cin>>ch;
	if(ch=='#')
		T=NULL;
	else{
		T=new Node;
		if(T==NULL) cout<<"分配空间不足"<<endl;
		T->date=ch;
		PreCreateBTree(T->lchild);
		PreCreateBTree(T->rchild);
	}
}
void PreOderBTree(BTree T,void(*vist) (BTree)){
	if(T){
		vist(T);
		PreOderBTree(T->lchild,vist);
		PreOderBTree(T->rchild,vist);
	}
	else
		cout<<"#";
}
void InOderBTree(BTree T,void(*vist) (BTree)){
	if(T){
		InOderBTree(T->lchild,vist);
		vist(T);
		InOderBTree(T->rchild,vist);
	}
	else
		cout<<"#";
} 
void CountLeaf(BTree T,int &count){
	if(T)
	{
		if(T->lchild==NULL&&T->rchild==NULL)
			count++;
		else{
			CountLeaf(T->lchild,count);
			CountLeaf(T->rchild,count);
		}
	}
}
int CountLeaf(BTree T){
	if(T==NULL)	return 0;
	else{
		if(T->lchild==NULL&&T->rchild==NULL)
			return 1;
		else{
			int l=CountLeaf(T->lchild);
			int r=CountLeaf(T->rchild);
			return l+r;
		}
	}
} 
int CountHigh(BTree T){
	if(!T)
		return 0;
	else{
		int l=CountHigh(T->lchild)+1;
		int r=CountHigh(T->rchild)+1;
		return (l>r)?l:r;
	}
}
int CountD(BTree T){//左子树节点+右子树节点+根 
	if(!T)
		return 0;
	else{
		int l=CountD(T->lchild);
		int r=CountD(T->rchild); 
		return l+r+1;
	}
} 
void CountD2(BTree T,int &num){//遍历求结点数 
	if(T){
			num++;
			CountD2(T->lchild,num);
			CountD2(T->rchild,num);
	}
	else
		num=num+0; 
} 
void LeavelTree(BTree T){
	queue<BTree> myq;
	if(T){
		myq.push(T);
	}
	while(!myq.empty()){
		Node *node=myq.front();
		cout<<node->date;
		myq.pop();
		if(node->lchild)
			myq.push(node->lchild);
		if(node->rchild)
			myq.push(node->rchild);
	}
}