#include<iostream.h>
typedef struct node
{
node *leftchild,*rightchild,*next;
char ch;
}*ptrn;
class bintree
{
private:
int count,i;
int leafnodenumber;
int leftdep,rightdep;
ptrn newnode;
ptrn leftchildnode;
ptrn rightchildnode;
ptrn *stack;ptrn popnode;
int maxsize,nodenumber,treeheight;
char *array;
ptrn *widthtree;
ptrn *b;
public:
ptrn root; //根结点
bintree(int size)//析构函数
{
count=0;//创建树是所用的栈的计数
i=0;//以树的高度为容量创建数组
leftdep=0;
rightdep=0;
leafnodenumber=0;//叶子结点数
nodenumber=0;//结点数
maxsize=size;//栈的最大容量
stack=new ptrn[maxsize];//为栈分配空间
root=NULL;//初始根为空
array="a(b(d,e(h(j,k(l,m(,n))))),c(f,g(,i)))";//树的表示
}
bool empty()//计算栈是否为空
{
return count==0;
}
void push(ptrn &e)//入栈
{
if(count!=maxsize)
{ stack[count]=e;count++;}
}
void pop()//出栈
{
if(!empty())
{count--;}
}
int length()//求栈的大小
{
return count;
}
void creattree()//创建树
{
for(int i=0;i<maxsize;i++)
{
switch(array[i])
{
case '(':
push(newnode);break;
case ')':
pop();newnode=stack[count];break;
case ',':
if(array[i-1]==')')
{
pop();newnode=stack[count];
rightchildnode=new node;
rightchildnode->leftchild=NULL;
rightchildnode->rightchild=NULL;
rightchildnode->ch=array[i+1];i++;
newnode->rightchild=rightchildnode;
if(array[i+1]=='(')
{newnode=newnode->rightchild;}break;
}
else
{
rightchildnode=new node;
rightchildnode->leftchild=NULL;
rightchildnode->rightchild=NULL;
rightchildnode->ch=array[i+1];i++;
newnode->rightchild=rightchildnode;
if(array[i+1]=='(')
{newnode=newnode->rightchild;}break;
}
default:
if(root==NULL)
{
root=new node;root->ch=array[i];
newnode=root;
root->leftchild=NULL;
root->rightchild=NULL;
}
else
{
leftchildnode=new node;
leftchildnode->leftchild=NULL;
leftchildnode->rightchild=NULL;
leftchildnode->ch=array[i];
newnode->leftchild=leftchildnode;
if(array[i+1]=='(')
newnode=newnode->leftchild;
}
}
}
}
void widthtreesize()//为数组widthtree分配空间
{
widthtree=new ptrn[height(root)];
b=new ptrn[height(root)];
widthtree[-1]=NULL;
for(int i=0;i<height(root);i++)
{
widthtree[i]=NULL;
}
}
int height(ptrn &e)//求树的高度
{
if(e==NULL)
{
return 0;
}
else
{
int leftheight,rightheight;
leftheight=height(e->leftchild);
rightheight=height(e->rightchild);
return (leftheight>rightheight?leftheight:rightheight)+1;
}
}
void width(ptrn &e)//树的每一层为一个链，为每一个链赋值
{
if(widthtree[i-1]==NULL)
{
widthtree[i]=e;
b[i]=e;
b[i]->next=NULL;
i++;width(widthtree[i-1]);
}
else
{
if(e->leftchild!=NULL)
{
if(widthtree[i]==NULL)
{
widthtree[i]=e->leftchild;
b[i]=e->leftchild;
}
else
{
b[i]->next=e->leftchild;
b[i]=e->leftchild;
}
if(e->rightchild!=NULL)
{
b[i]->next=e->rightchild;
b[i]=e->rightchild;
}
else{}
if(e->next==NULL)
{
b[i]->next=NULL;
i++;
if(i<height(root))
{
e=widthtree[i-1];
width(e);
}
}
else
{
e=e->next;
width(e);
}
}
else
{
if(e->rightchild!=NULL)
{
if(widthtree[i]==NULL)
{
widthtree[i]=e->rightchild;
b[i]=e->rightchild;
}
else
{
b[i]->next=e->rightchild;
b[i]=e->rightchild;
}
if(e->next==NULL)
{
b[i]->next=NULL;
i++;
if(i<height(root))
{
e=widthtree[i-1];
width(e);
}
}
else
{
e=e->next;
width(e);
}
}
else
{
e=e->next;
if(e!=NULL)
{
width(e);
}
else
{
b[i]->next=NULL;
i++;
if(i<height(root))
{
e=widthtree[i-1];
width(e);
}
}
}
}
}
}
int leafnodecount(ptrn &e)//求叶子结点个数
{
if(e!=NULL&&e->leftchild==NULL&&e->rightchild==NULL)
{
leafnodenumber++;return leafnodenumber;
}
else if(e!=NULL)
{
leafnodecount(e->leftchild);
leafnodecount(e->rightchild);
}
}
void findnode(ptrn &e,char &ch1)//查找结点内容为ch1的子节点
{
if(e!=NULL&&e->ch==ch1)
{
if(e->leftchild!=NULL&&e->rightchild!=NULL)
{
cout<<"随求结点的左孩子为"<<e->leftchild->ch<<"右孩子为"<<e->rightchild->ch<<endl;
}
else if(e->leftchild!=NULL&&e->rightchild==NULL)
{
cout<<"随求结点只有左孩子，内容为"<<e->leftchild->ch<<endl;
}
else if(e->leftchild==NULL&&e->rightchild!=NULL)
{
cout<<"随求结点只有右孩子，内容为"<<e->rightchild->ch<<endl;
}
else
{
cout<<"所求结点无孩子"<<endl;
}
}
else if(e!=NULL&&e->ch!=ch1)
{
findnode(e->leftchild,ch1);
findnode(e->rightchild,ch1);
}
}
int linklength(ptrn &e)//求上述链以e为头结点的长度
{
ptrn temp;
temp=e;
int linknodecount=0;
while(temp!=NULL)
{
linknodecount++;
temp=temp->next;
}
return linknodecount;
}
void outputwidth()//输出树宽
{
int n=0;
int j=0;
while(j<height(root))
{
n=n>linklength(widthtree[j])?n:linklength(widthtree[j]);j++;
}
cout<<"树的宽度为"<<n<<endl;
}
int nodecount()//求结点个数
{
return nodenumber;
}
void trailnode(ptrn &e)//以先序序列遍历树
{
if(e!=NULL)
{
nodenumber++;
cout<<e->ch<<endl;
trailnode(e->leftchild);
trailnode(e->rightchild);
}
}
};
void main()
{
char ch2='h';
bintree bt(36);
bt.creattree();
bt.widthtreesize();
bt.width(bt.root);
bt.trailnode(bt.root);
bt.findnode(bt.root,ch2);
bt.outputwidth();
cout<<"树高为"<<bt.height(bt.root)<<endl;
cout<<"叶子数为"<<bt.leafnodecount(bt.root)<<endl;
cout<<"结点总数为"<<bt.nodecount()<<endl;
}