二叉排序树的查询、插入和删除操作

//二叉排序树查找
//创建二叉树的结点结构定义
typedef struct BiTNode
{
    int data;
    struct BiTNode *lchild, *rchild;
}BiTNode,*BiTree;

//递归查找二叉排序树T中是否存在key
//指针f指向T的双亲,其初始调用值为NULL
//若查找成功,则指针p指向该数据元素结点,并返回TRUE
//若查找不成功,p指向查找路径访问的最后一个结点,并返回FALSE
Status Search_BST(BiTree T, int key, BiTree f, BiTree *p)
{
    if(!T)
    {
        *p = f;
        return false;
    }
    else if(key == T->data)
    {
        *p = T;
        return true;
    }
    else if(keydata)
        return Rearch_BST(T->lchild,key,T,p);
    else if(key>T->data)
        return Rearch_BST(T->rchild,key,T,p);
}

//二叉排序树插入操作,如果找不到key,就将key插入到合适的位置
Status InsertBST(BiTree T, int key)
{
    BiTree p,s;
    if(!Search_BST(T,key,NULL,&p))
    {
        s = (BiTree)malloc(sizeof(BiTNode));
        s->data = key;
        s->lchild = s->rchild = NULL;
        if(!p)
        {
            T = s;
        }
        else if(keydata)
        {
            p->lchild = s;
        }
        else if(key>p->data)
        {
            p->rchild = s;
        }
        return true;
    }
    else
    {
        return false;
    }
}

//二叉排序树删除操作
Status DeleteBST(BiTree T, int key)
{
    if(!T)
        return false;
    else
    {
        if(key == T->data)
            return Delete(T);
        else if(keydata)
            return DeleteBST(T->lchild,key);
        else
            return DeleteBST(T->rchild,key);
    }
}

Status Delete(BiTree p)
{
    BiTree q,s;
    if(p->rchild==NULL)//右子树为空
    {
        q = p;
        p = p->lchild;
        free(q);
    }
    else if(p->lchild==NULL)//左子树为空
    {
        q = p;
        p = p->rchild;
        free(q);
    }
    else //左右子树均不为空
    {
        q = p;
        s = p->lchild;
        while(s->rchild)
        {
            q = s;
            s = s->rchild;
        }
        p->data = s->data;
        if(q!=p && !(s->lchild))
        {
            q->rchild = s->lchild;
        }
        else
        {
            q->lchild = s->lchild;
        }
        free(s);
    }
        return true;
}

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