Josephu问题为:设编号为1,2,…n的n个人围坐一圈,约定编号为k(1<=k<=n)的人从1开始报数,数到m 的那个人出列,它的下一位又从1开始报数,数到m的那个人又出列,依次类推,直到所有人出列为止,由此产生一个出队编号的序列。 数组实现:#include
#include
int Josephu(int n, int m)
{
int flag, i, j = 0;
int *arr = (int *)malloc(n * sizeof(int));
for (i = 0; i < n; ++i)//数组初始化为1arr[i] = 1;for (i = 1; i < n; ++i){flag = 0;while (flag < m){if (j == n)j = 0;if (arr[j])++flag;++j;}arr[j - 1] = 0;printf("第%4d个出局的人是:%4d号n", i, j);}free(arr);return j;}int main(){int n, m;scanf("%d%d", &n, &m);printf("最后胜利的是%d号!n", Josephu(n, m));system("pause");return 0;} 链表实现:#include
#include
typedef struct Node
{
int index;
struct Node *next;
}JosephuNode;
int Josephu(int n, int m)
{
int i, j;
JosephuNode *head, *tail;
head = tail = (JosephuNode *)malloc(sizeof(JosephuNode));
for (i = 1; i < n; ++i){tail->index = i;
tail->next = (JosephuNode *)malloc(sizeof(JosephuNode));
tail = tail->next;
}
tail->index = i;
tail->next = head;
for (i = 1; tail != head; ++i)
{
for (j = 1; j < m; ++j){tail = head;head = head->next;
}
tail->next = head->next;
printf(“第%4d个出局的人是:%4d号n”, i, head->index);
free(head);
head = tail->next;
}
i = head->index;
free(head);
return i;
}
int main()
{
int n, m;
scanf(“%d%d”, &n, &m);
printf(“最后胜利的是%d号!n”, Josephu(n, m));
system(“pause”);
return 0;
}



