请用循环单链表解决上述问题
时间: 2024-10-21 17:13:34 浏览: 25
针对循环单链表的情况,我们可以稍微调整约瑟夫环问题的解法。由于链表结构,我们将不再使用固定大小的数组,而是通过指针遍历链表。同样,我们需要维护两个变量:当前的报数位置`current`和新的报数值`next_m`。
```c
#include <stdio.h>
#include <stdlib.h>
// 定义循环链表节点结构体
typedef struct Node {
int data;
struct Node* next;
} Node;
// 创建循环链表
Node* createCircularList(int passwords[], int n) {
Node* head = (Node*)malloc(sizeof(Node));
head->data = passwords[0];
Node* tail = head;
for (int i = 1; i < n; ++i) {
Node* newNode = (Node*)malloc(sizeof(Node));
newNode->data = passwords[i];
newNode->next = head;
tail->next = newNode;
tail = newNode;
}
tail->next = head; // 关闭循环
return head;
}
// 解决约瑟夫环问题
void josephus(Node* head, int m) {
Node* current = head;
Node* next_m = head;
do {
current = current->next;
if (current == next_m) {
printf("%d ", current->data); // 输出当前出列者的值
next_m = current->next;
if (next_m == head) { // 当next_m回到头时,结束循环
break;
}
}
} while (current != head); // 循环直到所有的节点都被访问过
}
int main() {
int passwords[] = {3, 1, 7, 2, 4, 8, 4};
int n = sizeof(passwords) / sizeof(passwords[0]);
Node* list = createCircularList(passwords, n);
int start_m = 20;
josephus(list, start_m);
// 清理链表
Node* temp = head;
while (temp != NULL) {
Node* next = temp->next;
free(temp);
temp = next;
}
return 0;
}
```
这段代码首先创建了一个循环链表,然后调用`josephus`函数解决问题。当所有节点都被访问完后,就结束了出列过程。
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