1. 程式人生 > >資料結構---04-樹7 二叉搜尋樹的操作集(30 分)

資料結構---04-樹7 二叉搜尋樹的操作集(30 分)

#include<cstdio>
#include<cstdlib>
#include<iostream>
using namespace std;
typedef int ElementType;
typedef struct TNode* Position;
typedef Position BinTree;
struct TNode{
	ElementType Data;
	BinTree Left;
	BinTree Right;
};
BinTree Insert(BinTree BST,ElementType X);//構建樹 
BinTree Delete(BinTree BST,ElementType X);//刪除元素 
Position Find(BinTree BST,ElementType X);//查詢某一元素 
Position FindMin(BinTree BST);
Position FindMax(BinTree BST);
void PreorderTravesal(BinTree BT){// 前序遍歷 (格式寫法一)
	if(!BT) return ;
	printf(" %d",BT->Data);
	PreorderTravesal(BT->Left);
	PreorderTravesal(BT->Right);
} 
void InorderTraversal(BinTree BT){//中順遍歷 
    if (!BT) return;      
    PreorderTravesal(BT->Left);  
    printf(" %d", BT->Data);  
    PreorderTravesal(BT->Right);  
}  
void InorderTravesal(BinTree BT){//後續遍歷 (格式寫法二)
	if(BT){
		InorderTravesal(BT->Left);
		printf(" %d",BT->Data);
		InorderTravesal(BT->Right);}
}
int main()
{
	BinTree BST,MinP,MaxP,Tmp;
	ElementType X;
	int N,i;
	BST=NULL;
	cin>>N;
	for(i=0;i<N;i++){
		cin>>X;
		BST=Insert(BST,X);
	}
	printf("Preorder:");
	PreorderTravesal(BST);printf("\n");
	MinP=FindMin(BST);
	MaxP=FindMax(BST);
	cin>>N;
	for(i=0;i<N;i++){
		cin>>X;
		Tmp=Find(BST,X);
		if(Tmp==NULL) printf("%d id not found\n",X);
		else{
			printf("%d is found\n",Tmp->Data);
			if(Tmp==MinP) printf("%d is the smallest key\n",Tmp->Data);
			if(Tmp==MaxP) printf("%d is the largest key\n",Tmp->Data);
		}
	} 
	cin>>N;
	for(i=0;i<N;i++){
		cin>>X;
		BST=Delete(BST,X);
	}
	printf("Inorder:");
	InorderTravesal(BST);
	printf("\n");
	return 0;
}
BinTree Insert(BinTree BST,ElementType X){ //構建樹,每次構建,(原則:大於父截點的放在左邊,小於父截點的放在右邊。),便於查詢 
	if(!BST){
		BST=(BinTree)malloc(sizeof(struct TNode));
		//BST=new struct TNode;
		BST->Data=X;
		BST->Left=NULL;
		BST->Right=NULL; 
	}
	else if(X<BST->Data)
		BST->Left=Insert(BST->Left,X);
	else if(X>BST->Data)
		BST->Right=Insert(BST->Right,X); 
	return BST;
}
BinTree Delete(BinTree BST,ElementType X){//刪除元素 
	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=FindMax(BST->Left);
			BST->Data=Tmp->Data;
			BST->Left=Delete(BST->Left,Tmp->Data);
		}
		else{
			Tmp=BST;
			if(!BST->Left)
				BST=BST->Right;
			else
				BST=BST->Left;
			free(Tmp); 
		}
	} 
	return BST;
}
Position Find(BinTree BST,ElementType X){//查詢某一元素 
	while(BST&&(X!=BST->Data)){
		if(X<BST->Data)
			BST=BST->Left;
		else
			BST=BST->Right;
	}
	return BST;
}
Position FindMin(BinTree BST){
	if(BST){
		while(BST->Left)
		BST=BST->Left;
	} 
	return BST;
}
Position FindMax(BinTree BST){
	if(BST){
		while(BST->Right)
			BST=BST->Right; 
	}
	return BST;
}