ジョセフループを実現するアルゴリズム


一)配列実装を採用する(数字が比較的小さい場合に適用する):
#include <stdio.h>

void josephus(const unsigned int nNum, const unsigned int nDistance, const unsigned int nBegin)
{
	if(nNum <= 0 || nDistance <= 0 || nBegin <= 0)
		return;

	int i, j, *nPassword  = new int [nNum];

	for(i = 0;i < nNum;i ++)
	{
		nPassword[i] = nDistance;//            
	}

	int k = 0, iStart = nBegin;//     ,       

	for(i = 0;i < nNum;i ++)
	{
		j = 1;

		while(j < iStart)
		{
			while(nPassword[k] == 0)
			{
				k = (k + 1) % nNum;
			}
			j ++;
			k = (k + 1) % nNum;
		}
		while(nPassword[k] == 0)
		{
				k = (k + 1) % nNum;
		}
		printf("%3d ",k + 1);

		iStart = nPassword[k];
		nPassword[k] = 0;
	}
}

void main()
{
	josephus(100,3,1);
}

二)チェーンテーブルを採用して実現する(一般的に適用する):
//    :
#include <stdio.h>  
#include <malloc.h>  
  
struct node  
{  
    int nNum,nPassword;  
    struct node * next;  
};  
  
typedef struct node * LNode;  
  
LNode CreateList(const int num,const int nPwd)  
{  
    int i;  
    LNode head = NULL,p = NULL,q = NULL;  
  
    for(i = 1; i <= num; ++ i)  
    {  
        p = (LNode)malloc(sizeof(struct node));  
        p->nNum = i;  
        p->nPassword = nPwd;  

		if(NULL == head)
		{
			head = p;
		}
		else
		{
			q->next = p;
		}  
        q = p;  
    }  
  
    q->next = head;  
  
    return q;  
}    
  
void josephus(const int num,const int nPwd,const int nBegin)  
{  
    LNode q = CreateList(num,nPwd);  
    LNode p = q->next;  
  
    int iNum = num,iCall = nBegin;  
  
    while(iNum --)  
    {  
        for(int i  = 0; i < iCall - 1; ++ i)  
        {  
            q = p;  
            p = p->next;  
        }    
        q->next = p->next;  
        iCall = p->nPassword;  
        printf("%3d ",p->nNum);  
        free(p);  
  
        p = q->next;  
    }  
}  
  
void main()  
{  
    josephus(100, 3, 1);  
} 
//    :
#include <stdio.h>  
#include <malloc.h>  
  
struct node  
{  
    int nNum,nPassword;  
    struct node * next;  
};  
  
typedef struct node * LNode;  
  
LNode CreateList(const int num,const int nPwd)  
{  
    int i;  
    LNode head = NULL,p = NULL,q = NULL;  
  
    p = (LNode)malloc(sizeof(struct node));  
    p->nNum = 1;  
    p->nPassword = nPwd;  
  
    head = p;  
  
    for(i = 2; i <= num; i ++)  
    {  
        q = (LNode)malloc(sizeof(struct node));  
        q->nNum = i;  
        q->nPassword = nPwd;  
  
        p->next = q;  
        p = q;  
    }  
  
    q->next = head;  
  
    return q;  
}  
  
  
void josephus(const int num,const int nPwd,const int nBegin)  
{  
    LNode q = CreateList(num,nPwd);  
    LNode p = q->next;  
  
    int iNum = num,iCall = nBegin;  
  
    while(iNum --)  
    {  
        for(int i  = 0;i < iCall - 1; i ++)  
        {  
            q = p;  
            p = p->next;  
        }  
  
        q->next = p->next;  
        iCall = p->nPassword;  
        printf("%3d
",p->nNum); free(p); p = q->next; } } void main() { josephus(100,3,1); }