#include <iostream>
using namespace std;
#define MAX_NODE_SIZE 100 //二叉树的最大节点数
typedef char SqBiTree[MAX_NODE_SIZE+1]; //0号单元节点个数
//创建二叉树
void creat_tree(SqBiTree &t)
{
int i=0;
char ch;
while((ch=getchar())!='$')
{
i++;
t[i]=ch;
}
t[0]=i;
}
//获取给定结点(位置)的左孩子的结点位置
int LeftChild_locate(SqBiTree &t,int node)
{
if ((2 * node) > t[0])
return -1;
else
return 2 * node;
}
//获取给定结点(位置)的右孩子的结点位置
int RightChild_locate(SqBiTree &t,int node)
{
if ((2 * node+1) > t[0])
return -1;
else
return 2 * node+1;
}
//层序遍历
void level_order(SqBiTree &t)
{
for(int i=1;i<=t[0];i++)
if(t[i]!='#')
cout<<t[i]<<" ";
}
//先序遍历
void pre_order(SqBiTree &t,int i)
{
if(t[0]<=0)
{
cout<<"空树!"<<endl;
}
else
{
if(t[i]!='#')
cout<<t[i]<<" ";
if(LeftChild_locate(t,i)!=-1) //如果左子结点存在,递归
pre_order(t,LeftChild_locate(t,i));
if(RightChild_locate(t,i)!=-1) //如果右子结点存在,递归
pre_order(t,RightChild_locate(t,i));
}
}
//中序遍历
void mid_order(SqBiTree &t,int i)
{
if(t[0]<=0)
{
cout<<"空树!"<<endl;
}
else
{
if(LeftChild_locate(t,i)!=-1) //如果左子结点存在,递归
mid_order(t,LeftChild_locate(t,i));
if(t[i]!='#')
cout<<t[i]<<" ";
if(RightChild_locate(t,i)!=-1) //如果右子结点存在,递归
mid_order(t,RightChild_locate(t,i));
}
}//后序遍历
void back_order(SqBiTree &t,int i)
{
if(t[0]<=0)
{
cout<<"空树!"<<endl;
}
else
{
if(LeftChild_locate(t,i)!=-1) //如果左子结点存在,递归
back_order(t,LeftChild_locate(t,i));
if(RightChild_locate(t,i)!=-1) //如果右子结点存在,递归
back_order(t,RightChild_locate(t,i));
if(t[i]!='#')
cout<<t[i]<<" ";
}
}
int main()
{
cout<<"创建二叉树:"<<endl;
SqBiTree sbt;
//创建顺序二叉树
creat_tree(sbt);
//层序遍历
level_order(sbt);
cout<<endl;
//先序遍历
pre_order(sbt,1);
cout<<endl;
//中序遍历
mid_order(sbt,1);
cout<<endl;
//后续遍历
back_order(sbt,1);
cout<<endl;
cout<<LeftChild_locate(sbt,3);
return 0;
}
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