c语言编程。用“孩子链表表示法”将每个结点的孩子结点链接构成一个单链表,称为孩子链表。将孩子链表的头指针又组成一个顺序表。设计函数将二叉树以“孩子链表表示法”输入到计算机中。设计函数计算“孩子链表表示法”下二叉树的叶子结点个数。
时间: 2024-02-06 11:12:29 浏览: 97
好的,我会尽力回答。下面是 C 语言的代码实现。
首先,我们需要定义一个二叉树结构体,其中包含左子树指针、右子树指针和数据域。
```c
typedef struct node {
int data;
struct node *left;
struct node *right;
} Node;
```
接下来,我们通过孩子链表表示法将二叉树输入到计算机中。我们需要定义一个结构体来表示孩子链表节点,其中包含孩子节点指针和数据域。
```c
typedef struct child_node {
int data;
struct child_node *next;
} ChildNode;
typedef struct child_list {
ChildNode *head;
} ChildList;
```
在输入二叉树时,我们需要使用递归函数,每次将左子树和右子树分别插入到孩子链表中,最后将孩子链表头指针插入到顺序表中。
```c
void input_tree(Node *tree, ChildList *clist) {
if (tree == NULL) {
return;
}
ChildNode *new_child_node = (ChildNode *)malloc(sizeof(ChildNode));
new_child_node->data = tree->data;
new_child_node->next = NULL;
if (clist->head == NULL) {
clist->head = new_child_node;
} else {
ChildNode *cur = clist->head;
while (cur->next != NULL) {
cur = cur->next;
}
cur->next = new_child_node;
}
input_tree(tree->left, clist);
input_tree(tree->right, clist);
}
```
最后,我们需要计算孩子链表表示法下二叉树的叶子结点个数。我们可以使用递归函数遍历孩子链表,如果当前节点没有孩子节点,说明它是一个叶子节点。
```c
int count_leaves(ChildNode *head) {
if (head == NULL) {
return 0;
}
if (head->next == NULL) {
return 1;
}
int count = 0;
ChildNode *cur = head;
while (cur != NULL) {
count += count_leaves(cur->next);
cur = cur->next;
}
return count;
}
```
完整代码如下:
```c
#include <stdio.h>
#include <stdlib.h>
typedef struct node {
int data;
struct node *left;
struct node *right;
} Node;
typedef struct child_node {
int data;
struct child_node *next;
} ChildNode;
typedef struct child_list {
ChildNode *head;
} ChildList;
void input_tree(Node *tree, ChildList *clist);
int count_leaves(ChildNode *head);
int main() {
// 构造一棵二叉树
Node *tree = (Node *)malloc(sizeof(Node));
tree->data = 1;
tree->left = (Node *)malloc(sizeof(Node));
tree->left->data = 2;
tree->left->left = NULL;
tree->left->right = NULL;
tree->right = (Node *)malloc(sizeof(Node));
tree->right->data = 3;
tree->right->left = (Node *)malloc(sizeof(Node));
tree->right->left->data = 4;
tree->right->left->left = NULL;
tree->right->left->right = NULL;
tree->right->right = (Node *)malloc(sizeof(Node));
tree->right->right->data = 5;
tree->right->right->left = NULL;
tree->right->right->right = NULL;
// 将二叉树以孩子链表表示法输入到计算机中
ChildList *clist = (ChildList *)malloc(sizeof(ChildList));
clist->head = NULL;
input_tree(tree, clist);
// 计算叶子结点个数
int count = count_leaves(clist->head);
printf("叶子结点个数为:%d\n", count);
return 0;
}
void input_tree(Node *tree, ChildList *clist) {
if (tree == NULL) {
return;
}
ChildNode *new_child_node = (ChildNode *)malloc(sizeof(ChildNode));
new_child_node->data = tree->data;
new_child_node->next = NULL;
if (clist->head == NULL) {
clist->head = new_child_node;
} else {
ChildNode *cur = clist->head;
while (cur->next != NULL) {
cur = cur->next;
}
cur->next = new_child_node;
}
input_tree(tree->left, clist);
input_tree(tree->right, clist);
}
int count_leaves(ChildNode *head) {
if (head == NULL) {
return 0;
}
if (head->next == NULL) {
return 1;
}
int count = 0;
ChildNode *cur = head;
while (cur != NULL) {
count += count_leaves(cur->next);
cur = cur->next;
}
return count;
}
```
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