樹7 二叉搜尋樹的操作集
阿新 • • 發佈:2018-12-13
函式介面定義:
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 );
其中BinTree
結構定義如下:
typedef struct TNode *Position; typedef Position BinTree; struct TNode{ ElementType Data; BinTree Left; BinTree Right; };
- 函式
Insert
將X
插入二叉搜尋樹BST
並返回結果樹的根結點指標; - 函式
Delete
將X
從二叉搜尋樹BST
中刪除,並返回結果樹的根結點指標;如果X
不在樹中,則列印一行Not Found
並返回原樹的根結點指標; - 函式
Find
在二叉搜尋樹BST
中找到X
,返回該結點的指標;如果找不到則返回空指標; - 函式
FindMin
返回二叉搜尋樹BST
中最小元結點的指標; - 函式
FindMax
返回二叉搜尋樹BST
中最大元結點的指標。
# define _CRT_SECURE_NO_WARNINGS #include <stdio.h> #include <stdlib.h> typedef int ElementType; typedef struct TNode *Position; typedef Position BinTree; struct TNode { ElementType Data; BinTree Left; BinTree Right; }; void PreorderTraversal(BinTree BT) /* 先序遍歷*/ { if (!BT) return; else { printf(" %d", BT->Data); PreorderTraversal(BT->Left); PreorderTraversal(BT->Right); } } void InorderTraversal(BinTree BT) /* 中序遍歷*/ { if (!BT) return; else { PreorderTraversal(BT->Left); printf(" %d", BT->Data); PreorderTraversal(BT->Right); } } BinTree Insert(BinTree BST, ElementType X) { if (!BST) { BST = (BinTree)malloc(sizeof(struct TNode)); BST->Data = X; BST->Left = BST->Right = NULL; } else { if (X<BST->Data) { BST->Left = Insert(BST->Left, X); } else { BST->Right = Insert(BST->Right, X); } } return BST; } Position Find(BinTree BST, ElementType X) { while (BST) { if (BST->Data < X) BST = BST->Right; else if (X < BST->Data) BST = BST->Left; else return BST; } return NULL; } Position FindMin(BinTree BST) { if (BST) while (BST->Left) BST = BST->Left; return BST; } Position FindMax(BinTree BST) { if (!BST) return NULL; else if (!BST->Right) return BST; else return FindMax(BST->Right); } BinTree Delete(BinTree BST, ElementType X) { Position temp; if (!BST) printf("Not Found\n"); else if (X < BST->Data) BST->Left = Delete(BST->Left, X); else if (BST->Data < X) BST->Right = Delete(BST->Right, X); else { if (BST->Left&&BST->Right) { temp = FindMax(BST->Left); BST->Data = temp->Data; BST->Left = Delete(BST->Left, temp->Data); } else { temp = BST; if (!BST->Left) BST = BST->Right; else if (!BST->Right) BST = BST->Left; free(temp); } } return BST; } int main() { BinTree BST, MinP, MaxP, Tmp; ElementType X; int N, i; BST = NULL; scanf("%d", &N); for (i = 0; i < N; i++) { scanf("%d", &X); BST = Insert(BST, X); } printf("Preorder:"); PreorderTraversal(BST); printf("\n"); MinP = FindMin(BST); MaxP = FindMax(BST); scanf("%d", &N); for (i = 0; i < N; i++) { scanf("%d", &X); Tmp = Find(BST, X); if (Tmp == NULL) printf("%d is 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); } } scanf("%d", &N); for (i = 0; i < N; i++) { scanf("%d", &X); BST = Delete(BST, X); } printf("Inorder:"); InorderTraversal(BST); printf("\n"); return 0; }