如下图所示是某个排序二叉树,什么是排序二叉树?。。。
下面的算法实现的是查找某个关键字是否在这棵树上的某个节点中。算法分为俩个部分,第一部分为二叉排序树的创建,第二部分是二叉排序树查找算法;
#include <iostream>
using namespace std;
typedef struct BTNode
{
int key;
struct BTNode *lchild;
struct BTNode *rchild;
}BTNode;
//注意!这不是二叉排序树构造算法,这个二叉排序树生成只是为了下面的二叉排序树查找算法服务,真正的二叉排序树构造算法自行查找。
void createBST(BTNode *&bt)
{
//欲生成的二叉排序树如上图所示
bt = (BTNode*)malloc(sizeof(BTNode));
bt->key = 5;
BTNode* n4 = (BTNode*)malloc(sizeof(BTNode));
n4->key = 4;
BTNode* n8 = (BTNode*)malloc(sizeof(BTNode));
n8->key = 8;
BTNode* n3 = (BTNode*)malloc(sizeof(BTNode));
n3->key = 3;
BTNode* n7 = (BTNode*)malloc(sizeof(BTNode));
n7->key = 7;
BTNode* n9 = (BTNode*)malloc(sizeof(BTNode));
n9->key = 9;
BTNode* n10 = (BTNode*)malloc(sizeof(BTNode));
n10->key = 10;
bt->lchild = n4;
bt->rchild = n8;
n4->lchild = n3;
n4->rchild = NULL;
n8->lchild = n7;
n8->rchild = n9;
n3->lchild = NULL;
n3->rchild = NULL;
n7->lchild = NULL;
n7->rchild = NULL;
n9->lchild = NULL;
n9->rchild = n10;
n10->lchild = NULL;
n10->rchild = NULL;
//二叉排序树建立完成
}
BTNode* BSTSearch(BTNode* bt, int key)
{
if (bt == NULL)
return NULL;
if (bt->key == key)
return bt; //返回关键字所在的结点指针
else if(bt->key > key)
return BSTSearch(bt->lchild, key); //去左子树中查找
else
return BSTSearch(bt->rchild, key);
}
int main()
{
BTNode *bt;
createBST(bt);
BTNode *p = BSTSearch(bt, 6);
if (p == NULL)
cout << "没有找到" << endl;
else
cout << "找到了 " << p->key << endl;
return 0;
}