• 链式Tree->二叉搜索树


    //  http://blog.csdn.net/fansongy/article/details/6798278/ 
    #include <iostream>    
    #include <vector>    
    using namespace std;    
    typedef struct treenode    
    {    
        int data;    
        struct treenode *left;    
        struct treenode *right;    
    }TREE_NODE;//节点    
    typedef struct Bstree    
    {    
        TREE_NODE* root;    
        int size;    
    }BSTREE;//二叉树    
    BSTREE* create_tree() //创建    
    {    
        BSTREE* tree = new(BSTREE);    
        tree->root = NULL;    
        tree->size = 0;    
        return tree;    
    }    
    TREE_NODE* create_node(int data) //创建节点    
    {    
        TREE_NODE* node =new(TREE_NODE);    
        node->data = data;    
        node->left = NULL;    
        node->right = NULL;    
    }    
    void insert(TREE_NODE* node, TREE_NODE** root)  //插入一个节点到那个位置    
    {    
        if(NULL == *root)    
        {    
            *root = node;    
        }    
        else    
        {    
            if(node->data > (*root)->data)    
            {    
                insert(node, & (*root)->right);    
            }    
            else    
            {    
                insert(node, &(*root)->left);    
            }    
        }    
    }    
    void PreOrderTraverse(TREE_NODE* root) //先序遍历    
    {    
        if(root)    
        {    
            cout << root->data <<endl;    
            PreOrderTraverse(root->left);    
            PreOrderTraverse(root->right);    
        }    
    }    
    void InOrderTraverse(TREE_NODE* root) //中序遍历    
    {    
        if(root)    
        {    
            InOrderTraverse(root->left);    
            cout << root->data <<endl;    
            InOrderTraverse(root->right);    
        }    
    }    
    void PostOrderTraverse(TREE_NODE * root) //后序遍历    
    {    
        if(root)    
        {    
            PostOrderTraverse(root->left);    
            PostOrderTraverse(root->right);    
            cout << root->data <<endl;    
        }    
    }    
    void bstree_insert(int data, BSTREE* tree) //插入一个节点    
    {    
        insert(create_node(data), &tree->root);    
        (tree->size)++;    
    }    
    TREE_NODE** bstree_find(int data, TREE_NODE** root)  //查找DATA 对应的位置    
    {    
        if(NULL==*root)    
        {    
            return root;    
        }    
        if(data >(*root)->data)    
        {    
            return bstree_find(data,& (*root)->right);    
        }    
        else if(data < (*root)->data)    
        {    
            return bstree_find(data, & (*root)->left);    
        }    
        else    
        {    
            return root;    
        }
    	
    	//下面是非递归查找*root
    	if(NULL==*root)
    	{
    		return root;
    	}
    	TREE_NODE* temp = *root;
    	while(temp && ( temp->data !=data ))
    	{
    		if(data > temp->data)
    		{
    			temp = temp->right;
    		}
    		else if(data < temp->data)
    		{
    			temp = temp->left;
    		}
    		if(temp)
    		{
    			return &temp;
    		}
    		else
    		{
    			return &temp;
    		}
    	}
    }    
    void del_node(TREE_NODE* node) //删除 该节点    
    {    
        delete(node);    
    }
      
    bool bstree_erase(int data, BSTREE* tree)  //树中 插入  传入的是地址 如果想修改 这一地址变量就要 根据地址的地址 修改    
    {    
        TREE_NODE** node = bstree_find(data, & tree->root);    
        if(*node)    
        {    
            TREE_NODE* temp = *node;
    		if( ((*node)->right==NULL) &&((*node)->left==NULL))//如果为叶子节点
    		{
    			*node = NULL;
    			del_node(temp);    
    			--tree->size;
    		}
    		if(((*node)->right==NULL) &&((*node)->left!=NULL))//node的right为空
    		{
    			*node = (*node)->left;
    			del_node(temp);    
    			--tree->size;
    		}
    		else if(((*node)->right!=NULL) &&((*node)->left==NULL))//node的left为空
    		{
    			*node = (*node)->right;
    			del_node(temp);    
    			--tree->size;
    		}
    		//下面是左右子树都不为空 删除时任一种情况 最好用1 2 种
    		
    		//node的左右都不为空将left中最大的数顶替已经删除的node
            if(((*node)->left != NULL) && ((*node)->right != NULL))    
            {
    			TREE_NODE* s = (*node)->left;
    			while(s->right)
    			{
    				temp=s;
    				s=s->right;
    			}
    			(*node)->data = s->data;
    			if(temp != *node)
    			{
    				temp->righ = s->left;
    			}
    			else
    			{
    				temp->left =s->left;//类似左子树
    			}
    			del_node(s);    
    			--tree->size;
            }
    		
    		//node的左右都不为空将right中最小的数顶替已经删除的node
    		if(((*node)->left != NULL) && ((*node)->right != NULL))    
            {
    			TREE_NODE* s = (*node)->right;
    			while(s->left)
    			{
    				temp=s;
    				s=s->left;
    			}
    			(*node)->data = s->data;
    			if(temp != *node)
    			{
    				temp->left = s->right;
    			}
    			else
    			{
    				temp->right =s->right;//类似右子树
    			}
    			del_node(s);    
    			--tree->size;
            }
    		//node的左右都不为空,直接将右边整体移动到左边最大值下面
    		if(((*node)->left != NULL) && ((*node)->right != NULL))    
            {
    			TREE_NODE* s = (*node)->left;
    			while(s->right)
    			{
    				s=s->right;
    			}
    			s->right = (*node)->right;
    			*node = (*node)->left;
    			del_node(s);    
    			--tree->size;
            }
    		//node的左右都不为空,直接将左边边整体移动到右边最小值下面
    		if(((*node)->left != NULL) && ((*node)->right != NULL))    
            {
    			TREE_NODE* s = (*node)->right;
    			while(s->left)
    			{
    				s=s->left;
    			}
    			s->left = (*node)->left;
    			*node = (*node)->right;
    			del_node(s);    
    			--tree->size;
            }
            return true;    
        }    
        return false;    
    }
     
    void bstree_updata(BSTREE* tree,int old,int now) //新旧替换更新    
    {    
        while(bstree_erase(old,tree))    
        {    
            bstree_insert(now,tree);    
        }    
    }    
    void clear_node(TREE_NODE** root)  //清楚节点    
    {    
        if(*root)    
        {    
            clear_node(&(*root)->left);    
            clear_node(&(*root)->right);    
            del_node(*root);    
            *root = NULL;    
        }    
    }    
    void clear_tree(BSTREE* tree)  //clear_tree    
    {    
        clear_node(&tree->root);    
        tree->size = 0;    
    }    
    void bstree_destroy(BSTREE* tree) //bstree_destroy    
    {    
        clear_tree(tree);    
        delete(tree);    
    }    
    int bstree_size(BSTREE* tree) //大小    
    {    
        return tree->size;    
    }    
    int bstree_deep(TREE_NODE* root)  //深度DEPTH    
    {    
        if(root)    
        {    
            int Hleft = bstree_deep(root->left);    
            int Hright = bstree_deep(root->right);    
            return Hleft>Hright ? Hleft+1 : Hright+1;    
        }    
        return 0;    
    }    
    void printNodeByLevel(TREE_NODE* root) //层序遍历    
    {    
        if(root ==NULL)    
        {    
            return;    
        }    
        vector<TREE_NODE*>vec;    
        vec.push_back(root);    
        int cur=0;    
        int last =1;    
        while(cur<vec.size() )    
        {    
            last = vec.size();    
            while(cur<last)    
            {    
                cout<<vec[cur]->data<<" ";    
                if(vec[cur]->left != NULL)    
                {    
                    vec.push_back(vec[cur]->left);    
                }    
                if(vec[cur]->right != NULL)    
                {    
                    vec.push_back(vec[cur]->right);    
                }    
                ++cur;    
            }    
            cout<<endl;    
        }    
    }   
    void print(TREE_NODE* root)  
    {  
        if(root==NULL)  
        {  
            return;  
        }  
        vector<TREE_NODE*>vec;  
        vec.push_back(root);  
        int cur=0;  
        while(cur<vec.size())  
        {  
            cout<<vec[cur]->data<<" ";  
            if(vec[cur]->left != NULL)  
            {  
                vec.push_back(vec[cur]->left);  
            }  
            if(vec[cur]->right != NULL)  
            {  
                vec.push_back(vec[cur]->right);  
            }  
            ++cur;  
        }  
        cout<<endl;  
    }   
    int main()    
    {    
        BSTREE* tree = create_tree();    
        bstree_insert(5, tree);    
        bstree_insert(6, tree);    
        bstree_insert(2, tree);    
        bstree_insert(1, tree);    
        bstree_insert(4, tree);    
        bstree_insert(3, tree);    
        cout << "the level print:
    ";    
        printNodeByLevel(tree->root);    
        cout << "the first print:
    ";    
        PreOrderTraverse(tree->root);    
        cout << "the middle print:
    ";    
        InOrderTraverse(tree->root);    
        cout << "the endl print:
    ";    
        PostOrderTraverse(tree->root);    
        cout<<"the tree deep:
    ";    
        cout<<bstree_deep(tree->root)<<endl;    
        bstree_erase(2,tree);    
        cout << "delete  num of 2:
    ";    
        cout << "after delete 2  print:
    ";    
        PreOrderTraverse(tree->root);    
        cout << "destroy the tree:
    ";    
        bstree_destroy(tree);    
        return 0;    
    }
    

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  • 原文地址:https://www.cnblogs.com/sowhat1412/p/12734496.html
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