二叉搜尋樹的操作集
阿新 • • 發佈:2020-07-06
函式介面定義:
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。
裁判測試程式樣例
#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,由裁判實現,細節不表 */ void InorderTraversal( BinTree BT ); /* 中序遍歷,由裁判實現,細節不表 */ 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 ); 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; } /* 你的程式碼將被嵌在這裡 */
輸入樣例:
10
5 8 6 2 4 1 0 10 9 7
5
6 3 10 0 5
5
5 7 0 10 3
輸出樣例:
Preorder: 5 2 1 0 4 8 6 7 10 9
6 is found
3 is not found
10 is found
10 is the largest key
0 is found
0 is the smallest key
5 is found
Not Found
Inorder: 1 2 4 6 8 9
我的程式碼
BinTree Insert(BinTree BST, ElementType X) { if (!BST) { BST = (struct TNode *)malloc(sizeof(struct TNode)); BST->Data = X; BST->Left = BST->Right = NULL; } else { if (X > BST->Data) BST->Right = Insert(BST->Right, X); else if (X < BST->Data) BST->Left = Insert(BST->Left, X); } return BST; } Position Find(BinTree BST, ElementType X) { BinTree tmp = BST; while (tmp) { if (X > tmp->Data) tmp = tmp->Right; else if (X < tmp->Data) tmp = tmp->Left; else return tmp; } return NULL; } Position FindMin(BinTree BST) { BinTree tmp = BST; if (!tmp) return NULL; while (tmp->Left) { tmp = tmp->Left; } return tmp; } Position FindMax(BinTree BST) { BinTree tmp = BST; if (!tmp) return NULL; while (tmp->Right) { tmp = tmp->Right; } return tmp; } BinTree Delete(BinTree BST, ElementType X) { Position tmp; if (!BST) { printf("Not Found\n"); }else { if (X > BST->Data) BST->Right = Delete(BST->Right, X); else if (X < BST->Data) BST->Left = Delete(BST->Left, X); else { if (BST->Left&&BST->Right) { tmp = FindMin(BST->Right); BST->Data = tmp->Data; BST->Right = Delete(BST->Right, tmp->Data); } else { tmp = BST; if (!BST->Left) { BST = BST->Right; } else if (!BST->Right) { BST = BST->Left; } free(tmp); } } } return BST; }