《数据结构》实验五：树和二叉树实验

《数据结构》实验五： 树和二叉树实验

一．.实验目的

巩固树和二叉树的相关知识，特别是二叉树的相关内容。学会运用灵活应用。

1.回树和二叉树的逻辑结构和存储方法，清楚掌握树和二叉树的遍历操作。

2.学习树的相关知识来解决实际问题。

3.进一步巩固程序调试方法。

4.进一步巩固模板程序设计。

二 、实验内容

1.自己设计一个二叉树，深度最少为4，请递归算法分别用前序、中序、后序遍历输出树结点。

前序遍历源代码：

#ifndef Tree_H
#define Tree_H
struct BiNode
{
char data;
BiNode *lchild,*rchild;
};


class Tree
{
public:
Tree(){root=Creat(root);}
~Tree(){Release(root);}
void PreOrder(){PreOrder(root);}
private:
BiNode*root;
    BiNode*Creat(BiNode*bt);
void Release(BiNode*bt);
    void PreOrder(BiNode*bt);
};
#endif

#include<iostream>
using namespace std;
#include "二叉链表.h"
BiNode *Tree::Creat(BiNode *bt)
{
char ch;
cout<<"请输入创建一棵二叉树的结点数据:"<<endl;
cin>>ch;
if(ch=='#')return NULL;
else
{
bt=new BiNode;
bt->data=ch;
bt->lchild=Creat(bt->lchild);
bt->rchild=Creat(bt->rchild);
}
return bt;
}


void Tree::Release(BiNode *bt)
{
if(bt!=NULL)
{
Release(bt->lchild);
Release(bt->rchild);
delete bt;
}
}


void Tree::PreOrder(BiNode *bt)
{
if(bt==NULL)return;
else
{
cout<<bt->data<<" ";
PreOrder(bt->lchild);
PreOrder(bt->rchild);
}
}

#include<iostream>
using namespace std;
#include "二叉链表.h"
int main()
{
Tree T;
cout<<"------前序遍历------"<<endl;
T.PreOrder();
cout<<endl;
return 0;
}

中序遍历源代码：

#ifndef Tree_H
#define Tree_H
struct BiNode
{
char data;
BiNode *lchild,*rchild;
};


class Tree
{
public:
Tree(){root=Creat(root);}
~Tree(){Release(root);}
void InOrder(){InOrder(root);}
private:
BiNode*root;
    BiNode*Creat(BiNode*bt);
void Release(BiNode*bt);
    void InOrder(BiNode*bt);
};
#endif

#include<iostream>
using namespace std;
#include "二叉链表.h"
BiNode *Tree::Creat(BiNode *bt)
{
char ch;
cout<<"请输入创建一棵二叉树的结点数据:"<<endl;
cin>>ch;
if(ch=='#')return NULL;
else
{
bt=new BiNode;
bt->data=ch;
bt->lchild=Creat(bt->lchild);
bt->rchild=Creat(bt->rchild);
}
return bt;
}


void Tree::Release(BiNode *bt)
{
if(bt!=NULL)
{
Release(bt->lchild);
Release(bt->rchild);
delete bt;
}
}


void Tree::InOrder(BiNode *bt)
{
if(bt==NULL)return;
else
{
InOrder(bt->lchild);
cout<<bt->data<<endl;
InOrder(bt->rchild);
}
}

#include<iostream>
using namespace std;
#include "二叉链表.h"
int main()
{
Tree T;
cout<<"------中序遍历------"<<endl;
T.InOrder();
return 0;
}

后序遍历源代码：

#ifndef Tree_H

#define Tree_H

struct BiNode

{

char data;

BiNode *lchild,*rchild;

};

 

 

class Tree

{

public:

         Tree(){root=Creat(root);}

         ~Tree(){Release(root);}

         voidPostOrder(){PostOrder(root);}

private:

         BiNode*root;

   BiNode*Creat(BiNode*bt);

         voidRelease(BiNode*bt);

    voidPostOrder(BiNode*bt);

};

#endif

#include<iostream>

using namespace std;

#include "二叉链表.h"

BiNode *Tree::Creat(BiNode *bt)

{

char ch;

cout<<"请输入创建一棵二叉树的结点数据:"<<endl;

cin>>ch;

if(ch=='#')return NULL;

else

{

bt=new BiNode;

bt->data=ch;

bt->lchild=Creat(bt->lchild);

bt->rchild=Creat(bt->rchild);

}

return bt;

}

 

 

void Tree::Release(BiNode *bt)

{

if(bt!=NULL)

{

Release(bt->lchild);

Release(bt->rchild);

delete bt;

}

}

 

 

void Tree::PostOrder(BiNode *bt)

{

if(bt==NULL)return;

else

{

PostOrder(bt->lchild);

PostOrder(bt->rchild);

cout<<bt->data<<"";

}

}

#include<iostream>

using namespace std;

#include "二叉链表.h"

int main()

{

Tree T;

cout<<"------后序遍历------"<<endl;

T.PostOrder();

return 0;
}