是否同一棵搜索树

本文详细介绍了二叉搜索树的插入、删除、查找最小值、查找最大值、比较两个树是否相同等核心操作的实现过程。通过具体的C语言代码示例,展示了如何构建和维护一棵平衡的二叉搜索树,以及如何清理树结构。

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#include<stdio.h>
#include<stdlib.h>
#define bool int
#define false 0
#define true 1
typedef int ElementType;
typedef struct TNode *Position;
typedef Position BinTree;
struct TNode{
    ElementType Data;
    BinTree Left;
    BinTree Right;
};
								

BinTree Insert( BinTree BST, ElementType X );
BinTree Delete( BinTree BST, ElementType X );
Position Find( BinTree BST, ElementType X );
Position FindMin( BinTree BST );
Position FindMax( BinTree BST );
Position buildSearchTree(BinTree BST,ElementType X);
bool compareSearchTree(BinTree masterTree,BinTree branchTree);
void cleanTree(BinTree BST);

int main()
{
	int N,L;
	int temp;
	scanf("%d",&N);
	if(N == 0)
		return 0;
	scanf("%d",&L);
	BinTree masterTree = NULL;
	BinTree branchTree = NULL;
	while(N != 0)
	{
		for(int i =0;i <  N;i++)
		{
			scanf("%d",&temp);
			masterTree = Insert(masterTree,temp);
		}
		for(int i = 0;i < L;i++)
		{
			for(int i = 0;i < N;i++)
			{
				scanf("%d",&temp);
				branchTree = Insert(branchTree,temp);
			}
			if(compareSearchTree(masterTree,branchTree))
				printf("Yes\n");
			else
				printf("No\n");
			cleanTree(branchTree);
			branchTree = NULL;
		}
		cleanTree(masterTree);
		masterTree = NULL;
		scanf("%d",&N);
		if(N == 0)
			return 0;
		scanf("%d",&L);
	}
	return 0;
}

void cleanTree(BinTree BST)
{
	BinTree temp;
	while(BST)
	{
		BST = Delete(BST,FindMin(BST)->Data);
	}
}
bool compareSearchTree(BinTree masterTree,BinTree branchTree)
{
	bool  isIdentical ;
	if(masterTree == NULL&&branchTree == NULL)
		isIdentical = true;
	else if((masterTree != NULL&&branchTree == NULL) || (masterTree == NULL&&branchTree != NULL) ||(masterTree->Data != branchTree->Data)) 
		isIdentical = false;	
	else					
	{
		isIdentical = compareSearchTree(masterTree->Left,branchTree->Left)&&compareSearchTree(masterTree->Right,branchTree->Right);
	}
	return isIdentical; 
}
Position Find( BinTree BST, ElementType X ){
    if (BST==NULL) return BST;
    if (X==BST->Data) return BST;
    if (X>BST->Data) return Find(BST->Right,X);
    if (X<BST->Data) return Find(BST->Left,X);
}
 
Position FindMin( BinTree BST ){
    if (BST){
        while (BST->Left!=NULL){
            BST=BST->Left;
        }
    }
    return BST;
}
Position FindMax( BinTree BST ){
    if (BST){
        while (BST->Right!=NULL){
            BST=BST->Right;
        }
    }
    return BST;
}
 
 
BinTree Insert( BinTree BST, ElementType X ){
    if (BST==NULL){
        BST=(struct TNode *)malloc(sizeof(struct TNode));
        BST->Data=X;
        BST->Left=BST->Right=NULL;
        return BST;         
    }
    if (X<BST->Data)    BST->Left=Insert(BST->Left,X);                       
    if (X>BST->Data)    BST->Right=Insert(BST->Right,X);
    return BST;
}
 
BinTree Delete( BinTree BST, ElementType X ){
    Position Tmp;
    if(!BST)    printf("Not Found\n");
    else {
        if( X < BST->Data)  
            BST->Left = Delete(BST->Left, X);          
        else if(X > BST->Data ) 
            BST->Right = Delete(BST->Right , X);      
        else {                                          
            if(BST->Left && BST->Right) {               
                Tmp=FindMin(BST->Right);   										
                BST->Data = Tmp->Data;
                BST->Right=Delete(BST->Right,BST->Data);
            }else {                                     
                Tmp = BST;
                if(!BST->Left) BST = BST->Right;        
                else if(!BST->Right)    BST = BST->Left;
                free(Tmp);                             
            }
        }
    }
    return BST;
}
 

 

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