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标题:要求有父亲结点平衡二叉树的建立
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我是小何
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要求有父亲结点平衡二叉树的建立
要能够形象方便地观察树的结构;要能够形象的演示树的平衡过程
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2011-01-06 18:32
杨焕发
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#include<stdio.h>
#include<stdlib.h>

typedef struct BF
{
    int data;
    int parent;
    int left;
    int right;
    int bf;
}BF;

typedef struct Bitree
{
    int data;
    struct Bitree *right;
    struct Bitree *left;
    struct Bitree *parent;
}Bitree;


typedef struct
{
    Bitree *base;
    int top;
    int bottom;
    int size;
}queue;


BF c[100];




void inistall(queue &q)
{
    q.base=(Bitree *)malloc(sizeof(Bitree)*100);
    q.top=q.bottom=0;
    q.size=100;
}

void push(Bitree t,queue &q)
{
    if(q.top==100)
        printf("queue full\n");
   
    q.base[q.top++]=t;
   
}

int empty(queue q)
{
    if(q.top==q.bottom)
        return 1;
    else
        return 0;
}

void pop(Bitree *&temp,queue &q)
{
    if(q.top==q.bottom)
        printf("queue null\n");
   
    else
        temp=&(q.base[q.bottom++]);
   
}

void travel(Bitree *t)
{
    queue q;
    Bitree *temp;
    inistall(q);
    push(*t,q);
    while(!empty(q))
    {
        pop(temp,q);
        printf("%d ",temp->data);
        if(temp->left)
            push(*temp->left,q);
        if(temp->right)
            push(*temp->right,q);
    }
   
}



////////////////////////////

int Deep(Bitree *T)
{
    int k,left,right;
    if(!T)k=0;
    else
    {
        right=Deep(T->right);
        left=Deep(T->left);
        if(right>left)k=1+right;
        else k=1+left;
        
    }
    return k;
   
}


int locate(int n)
{
    int i;
    for(i=0;i<100;i++)
        if(c[i].data==n)
            return i;
}


void B1(Bitree *T)
{
    Bitree *p,*q;
    int n1,n2;
    if(T)
    {
        p=T;
        q=p->left;
        n1=locate(p->data);
        if(q!=NULL)
        {n2=locate(q->data);
        c[n1].left=n2;
        c[n2].parent=n1;
        }
        else
        {
            c[n1].left=-1;
        }
        
        
        q=p->right;
        n1=locate(p->data);
        if(q!=NULL)
        {n2=locate(q->data);
        c[n1].right=n2;
        c[n2].parent=n1;
        }
        else
        {
            c[n1].right=-1;
        }
        
        B1(T->left);
        B1(T->right);
        
    }
   
   
}

void B2(Bitree *T)
{
    int n,left,right;
    if(T)
    {
        left=Deep(T->left);
        right=Deep(T->right);
        n=locate(T->data);
        c[n].bf=left-right;
        B2(T->left);
        B2(T->right);
        
    }
   
}

void B(Bitree *T)
{
    int i;
    for(i=0;i<100;i++)
        c[i].parent=c[i].left=c[i].right=-1;
    B1(T);
    B2(T);
}

void inistall(int a[],int n)
{
    int i;
    for(i=0;i<n;i++)
    {
        c[i].data=a[i];
        c[i].left=c[i].right=c[i].parent=-1;
        c[i].bf=0;
    }
   
   
}

void find(Bitree *T,int data,Bitree *&p)
{
    if(T)
    {
        if(T->data==data)
            p=T;
        find(T->left,data,p);
        find(T->right,data,p);
    }
   
}

int hunt(Bitree *p,Bitree *q)
{
    if(p)
    {
        if(p->data==q->data)
            return 1;
        else
        {
            if(hunt(p->left,q))
                return 1;
            else
                return hunt(p->right,q);
        }
        
    }
    else return 0;
   
}


int kind(Bitree *p,Bitree *q)
{
    Bitree *r,*s;
    int k;
    if(p->right!=NULL)
    {
        r=p->right;
        s=r->right;
        if((s!=NULL)&&(hunt(s,q)))
            k=2;//RR
        s=r->left;
        if((s!=NULL)&&(hunt(s,q)))
            k=3;//RL
    }
    if(p->left!=NULL)
    {
        r=p->left;
        s=r->right;
        if((s!=NULL)&&(hunt(s,q)))
            k=4;//LR
        s=r->left;
        if((s!=NULL)&&(hunt(s,q)))
            k=1;//LL
    }
    return k;
}

int pos(Bitree *r,Bitree *q)
{
    int k;
    if(r->left==q)k=2;
    if(r->right==q)k=1;
    return k;
}

void deal(Bitree *&T,int data)
{
    int i,k=0,j,e;
    Bitree *p,*q,*r,*temp;
    i=locate(data);
    while(c[i].bf<2&&c[i].bf>-2&&i!=-1)
        i=c[i].parent;
    if((c[i].bf>1||c[i].bf<-1)&&(i!=-1))
    {
        find(T,c[i].data,p);
        j=c[i].parent;
        find(T,data,q);
        if(j!=-1)//r存在
        {
            
            find(T,c[j].data,r);
            e=pos(r,p);//e:1为p是r的右孩子 2为p是r的左孩子
            k=kind(p,q);//1:LL 2:RR 3:RL 4:LR
            if(e==1)//p是r的右孩子
            {
                switch(k)
                {
                case 1:
                    p->left->parent=r;
                    p->parent=p->left;
                    if(p->left->right)
                        p->left->right->parent=p;
                    //////////
                    r->right=p->left;
                    p->left=r->right->right;
                    r->right->right=p;
                    break;
                case 2:
                    p->right->parent=r;
                    p->parent=p->right;
                    if(p->right->left)
                        p->right->left->parent=p;
                    ////////
                    r->right=p->right;
                    p->right=r->right->left;
                    r->right->left=p;
                    break;
                case 3:
                    p->right->left->parent=r;
                    p->parent=p->right->left;
                    if(p->right->left->left)
                        p->right->left->left->parent=p;
                    if(p->right->left->right)
                        p->right->left->right->parent=p->right;
                    p->right->parent=p->right->left;
                    ////////
                    temp=p->right->left;
                    p->right->left=temp->right;
                    temp->right=p->right;
                    p->right=temp;
                    p->right=temp->left;
                    temp->left=p;
                    r->right=temp;
                    break;
                case 4:
                    p->left->right->parent=r;
                    p->left->parent=p->left->right;
                    p->parent=p->left->right;
                    if(p->left->right->left)
                        p->left->right->left->parent=p->left;
                    if(p->left->right->right)
                        p->left->right->right->parent=p;
                    //////////
                    temp=p->left->right;
                    p->left->right=temp->left;
                    temp->left=p->left;
                    p->left=temp;
                    p->left=temp->right;
                    temp->right=p;
                    r->right=temp;
                    break;
                default:break;
                }
               
            }
            if(e==2)//p是r的左孩子
            {
                switch(k)
                {
                case 1:
                    p->left->parent=r;
                    p->parent=p->left;
                    if(p->left->right)
                        p->left->right->parent=p;
                    //////////
                    r->left=p->left;
                    p->left=r->left->right;
                    r->left->right=p;
                    break;
                case 2:
                    p->right->parent=r;
                    p->parent=p->right;
                    if(p->right->left)
                        p->right->left->parent=p;
                    ////////
                    p->right=r->left->left;
                    r->left->left=p;
                    break;
                case 3:
                    p->right->left->parent=r;
                    p->parent=p->right->left;
                    if(p->right->left->left)
                        p->right->left->left->parent=p;
                    if(p->right->left->right)
                        p->right->left->right->parent=p->right;
                    p->right->parent=p->right->left;
                    ////////
                    temp=p->right->left;
                    p->right->left=temp->right;
                    temp->right=p->right;
                    p->right=temp;
                    p->right=temp->left;
                    temp->left=p;
                    r->left=temp;
                    break;
                case 4:
                    p->left->right->parent=r;
                    p->left->parent=p->left->right;
                    p->parent=p->left->right;
                    if(p->left->right->left)
                        p->left->right->left->parent=p->left;
                    if(p->left->right->right)
                        p->left->right->right->parent=p;
                    //////////
                    temp=p->left->right;
                    p->left->right=temp->left;
                    temp->left=p->left;
                    p->left=temp;
                    p->left=temp->right;
                    temp->right=p;
                    r->left=temp;
                    break;
                default:break;
                }
               
            }
            B(T);
            }
            
            
            else//A为头结点
            {   
                k=kind(p,q);//1:LL 2:RR 3:RL 4:LR
                switch(k)
                {
                case 1:
                    T->left->parent=NULL;
                    T->parent=T->left;
                    if(T->left->right)
                        T->left->right->parent=T;
                    ////////
                    T=p->left;
                    p->left=T->right;
                    T->right=p;
                    break;
                case 2:
                    T->right->parent=NULL;
                    T->parent=T->right;
                    if(T->right->left)
                        T->right->left->parent=T;
                    /////////
                    T=p->right;
                    p->right=T->left;
                    T->left=p;
                    break;
                case 3:
                    p->right->left->parent=NULL;
                    p->parent=p->right->left;
                    p->right->parent=p->right->left;
                    if(p->right->left->left)
                        p->right->left->left->parent=p;
                    if(p->right->left->right)
                        p->right->left->right->parent=p->right;
                    ///////////
                    temp=p->right->left;
                    p->right->left=temp->right;
                    temp->right=p->right;
                    p->right=temp;
                    p->right=temp->left;
                    temp->left=p;
                    T=temp;
                    break;
                case 4:p->left->right->parent=NULL;
                    p->left->parent=p->left->right;
                    p->parent=p->left->right;
                    if(p->left->right->left)
                        p->left->right->left->parent=p->left;
                    if(p->left->right->right)
                        p->left->right->right->parent=p;
                    ///////////
                    temp=p->left->right;
                    p->left->right=temp->left;
                    temp->left=p->left;
                    p->left=temp;
                    p->left=temp->right;
                    temp->right=p;
                    T=temp;
                    break;
                default:break;
                }
                B(T);
               
            }
            
    }
   
}

void creat(Bitree *&T)
{
    int i,k,D[100],n,j;
    Bitree *p,*q,*R,*S,*G;
    printf("请输入数据个数\n");
    scanf("%d",&n);
    getchar();
   
    for(i=0;i<n;i++)
    {
        printf("第%d个数据:\n",i+1);
        scanf("%d",&D[i]);
    }
    inistall(D,n);
   
    for(i=0;i<n;i++)
    {
        
        if(i==0)
        {
            p=q=T=(Bitree *)malloc(sizeof(Bitree));
            p->data=D[i];
            p->left=p->right=NULL;
            T->parent=NULL;
            B(T);
            
            continue;
        }
        
        q=(Bitree *)malloc(sizeof(Bitree));
        q->data=D[i];
        q->left=q->right=NULL;
        p=T;
        while(p!=NULL)
        {
            G=p;
            if(D[i]>p->data)
                p=p->right;
            else
                p=p->left;
        }
        
        if(D[i]>G->data)
        {
            q->parent=G;
            G->right=q;
        }
        else
        {
            q->parent=G;
            G->left=q;
        }
        B(T);
        
        deal(T,D[i]);
        
    }//for
   
}
void main()
{
    Bitree *T;
    creat(T);
    printf("生成的平衡二叉树为:\n");
    travel(T);
}给你也发一下吧,,,同学弄的可是需要改一下
2011-01-07 10:27
我是小何
Rank: 1
等 级:新手上路
帖 子:2
专家分:0
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得分:0 
回复 2楼 杨焕发
谢谢你啊,可是这个不符合要求啊
2011-01-08 10:14
快速回复:要求有父亲结点平衡二叉树的建立
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