6-9 二叉树的遍历
6-9 二叉树的遍历(25 分)
本题要求给定二叉树的4种遍历。
函数接口定义:
void InorderTraversal( BinTree BT );
void PreorderTraversal( BinTree BT );
void PostorderTraversal( BinTree BT );
void LevelorderTraversal( BinTree BT );
其中BinTree
结构定义如下:
typedef struct TNode *Position;
typedef Position BinTree;
struct TNode{
ElementType Data;
BinTree Left;
BinTree Right;
};
要求4个函数分别按照访问顺序打印出结点的内容,格式为一个空格跟着一个字符。
裁判测试程序样例:
#include <stdio.h>
#include <stdlib.h>
typedef char ElementType;
typedef struct TNode *Position;
typedef Position BinTree;
struct TNode{
ElementType Data;
BinTree Left;
BinTree Right;
};
BinTree CreatBinTree(); /* 实现细节忽略 */
void InorderTraversal( BinTree BT );
void PreorderTraversal( BinTree BT );
void PostorderTraversal( BinTree BT );
void LevelorderTraversal( BinTree BT );
int main()
{
BinTree BT = CreatBinTree();
printf("Inorder:"); InorderTraversal(BT); printf("\n");
printf("Preorder:"); PreorderTraversal(BT); printf("\n");
printf("Postorder:"); PostorderTraversal(BT); printf("\n");
printf("Levelorder:"); LevelorderTraversal(BT); printf("\n");
return 0;
}
/* 你的代码将被嵌在这里 */
输出样例(对于图中给出的树):
Inorder: D B E F A G H C I
Preorder: A B D F E C G H I
Postorder: D E F B H G I C A
Levelorder: A B C D F G I E H
思路:原来C语言中没有STL🤯
void InorderTraversal(BinTree BT) { if (BT == NULL)return; InorderTraversal(BT->Left); printf(" %c", BT->Data); InorderTraversal(BT->Right); } void PreorderTraversal(BinTree BT) { if (BT == NULL)return; printf(" %c", BT->Data); PreorderTraversal(BT->Left); PreorderTraversal(BT->Right); } void PostorderTraversal(BinTree BT) { if (BT == NULL)return; PostorderTraversal(BT->Left); PostorderTraversal(BT->Right); printf(" %c", BT->Data); } void LevelorderTraversal(BinTree BT) { if (BT == NULL)return; BinTree binTree[100]; int head = 0, last = 0; binTree[last++] = BT; while (head < last){ BinTree temp = binTree[head++]; printf(" %c", temp->Data); if (temp->Left) binTree[last++] = temp->Left; if (temp->Right) binTree[last++] = temp->Right; } }