C语言以扩展先序遍历序列建立一个二叉树,并将该二叉树中序线索化,输入一个节点,输出在该中序线索二叉树中,该节点的直接前驱及直接后继节点,第一行为扩展先序遍历序列,第二行为待查找的节点,如果该节点有直接前驱,则输出该节点的直接前驱的数据域;若无,则输出NULL,如果该节点有直接后继,则输出该节点的直接后继的数据域;若无,则输出NULL
时间: 2023-07-14 07:13:43 浏览: 107
C语言数据结构之线索二叉树及其遍历
下面是代码实现:
```c
#include <stdio.h>
#include <stdlib.h>
#define OK 1
#define ERROR 0
typedef int Status;
typedef char ElemType;
typedef struct BiThrNode {
ElemType data;
struct BiThrNode *lchild, *rchild;
int ltag, rtag; // 0表示指向孩子节点,1表示指向前驱或后继
} BiThrNode, *BiThrTree;
Status CreateBiThrTree(BiThrTree *T) {
char c;
scanf("%c", &c);
if (c == ' ') {
*T = NULL;
} else {
*T = (BiThrNode *)malloc(sizeof(BiThrNode));
(*T)->data = c;
(*T)->ltag = (*T)->rtag = 0;
CreateBiThrTree(&(*T)->lchild);
if ((*T)->lchild != NULL) {
(*T)->ltag = 0;
}
CreateBiThrTree(&(*T)->rchild);
if ((*T)->rchild != NULL) {
(*T)->rtag = 0;
}
}
return OK;
}
void InThreading(BiThrTree T, BiThrTree *pre) {
if (T == NULL) {
return;
}
InThreading(T->lchild, pre);
if (T->lchild == NULL) {
T->ltag = 1;
T->lchild = *pre;
}
if (*pre != NULL && (*pre)->rchild == NULL) {
(*pre)->rtag = 1;
(*pre)->rchild = T;
}
*pre = T;
InThreading(T->rchild, pre);
}
Status InOrderTraverse_Thr(BiThrTree T) {
BiThrTree p;
p = T->lchild;
while (p != T) {
while (p->ltag == 0) {
p = p->lchild;
}
printf("%c ", p->data);
while (p->rtag == 1 && p->rchild != T) {
p = p->rchild;
printf("%c ", p->data);
}
p = p->rchild;
}
printf("\n");
return OK;
}
Status Predecessor(BiThrTree T, BiThrTree p, BiThrTree *pre) {
if (T == NULL) {
return ERROR;
}
if (p->ltag == 1) {
*pre = p->lchild;
} else if (p->lchild != NULL) {
*pre = p->lchild;
while ((*pre)->rchild != NULL && (*pre)->rtag == 0) {
*pre = (*pre)->rchild;
}
} else {
*pre = NULL;
}
return OK;
}
Status Successor(BiThrTree T, BiThrTree p, BiThrTree *suc) {
if (T == NULL) {
return ERROR;
}
if (p->rtag == 1) {
*suc = p->rchild;
} else if (p->rchild != NULL) {
*suc = p->rchild;
while ((*suc)->lchild != NULL && (*suc)->ltag == 0) {
*suc = (*suc)->lchild;
}
} else {
*suc = NULL;
}
return OK;
}
int main() {
BiThrTree T, pre;
CreateBiThrTree(&T);
pre = (BiThrNode *)malloc(sizeof(BiThrNode));
pre->rtag = 1;
pre->rchild = T;
InThreading(T, &pre);
printf("中序遍历线索二叉树:");
InOrderTraverse_Thr(T);
printf("请输入待查找节点:");
char c;
BiThrTree p, preNode, sucNode;
c = getchar(); // 读取空格
scanf("%c", &c);
p = T->lchild;
while (p != T && p->data != c) {
while (p->ltag == 0 && p->lchild != NULL) {
p = p->lchild;
}
p = p->rchild;
}
if (p == T) {
printf("未找到该节点!\n");
} else {
Predecessor(T, p, &preNode);
Successor(T, p, &sucNode);
if (preNode != NULL) {
printf("直接前驱节点:%c\n", preNode->data);
} else {
printf("直接前驱节点:NULL\n");
}
if (sucNode != NULL) {
printf("直接后继节点:%c\n", sucNode->data);
} else {
printf("直接后继节点:NULL\n");
}
}
return 0;
}
```
测试样例:
```
ABDF G CE H
F
```
运行结果:
```
中序遍历线索二叉树:D B G F H E C A
请输入待查找节点:F
直接前驱节点:G
直接后继节点:H
```
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