Algorithm One Day One -- 約瑟夫環(丟手絹問題)

算法是編程的靈魂，是編程思想的精髓————Algorithm One Day One

/******************************************************************** 
created:2015年1月20日 23:06:46    
author: Jackery     
purpose: Joseph problem 
*********************************************************************/  
#include"stdafx.h"
#include<iostream>
using namespace std;

typedef struct _Node
{
	int data;
	struct _Node*next;
} node_t;

typedef struct _Linklist
{
	node_t*phead;
	node_t*ptail;
	int len;
}Linklist;
static node_t*GetNode(int i )//新建並初始化節點
{
	node_t*pNode;
	pNode=new node_t;
	if(!pNode)
	{
		cout <<"內存分配失敗" <<endl;
		exit(-1);
	}
	pNode->data=i;
	pNode->next=NULL;
	return pNode;
	delete pNode;
}
void init_list(Linklist*plist)//用第一個節點初始化循環單鏈表
{
	node_t*p;
	p=GetNode(1);
	//printf("TheNewNodeis:%d\n",p->data);//****TEST****
	plist->phead=p;
	plist->ptail=p;
	p->next=plist->phead;
	plist->len=1;
}

//把其他數據添加到循環單鏈表中
static void Create_List(Linklist*plist,int n)
{
	int i=0;
	node_t*pNew;
	for(i=2;i<=n;i++)
	{
		pNew=GetNode(i);
		/********TEST********
		cout <<"The New Node is:" <<pNew->data << endl;
		********TEST********/
		plist->ptail->next=pNew;
		plist->ptail=pNew;
		pNew->next=plist->phead;
		plist->len++;
	}
}
//輸出鏈表內容
// void Print_List(Linklist*plist)
// {
// 	node_t*pCur=plist->phead;
// 	do
// 	{
// 		cout << "The "<<  pCur->data <<"person."  <<endl;
// 		pCur=pCur->next;
// 	}while(pCur!=plist->phead);
// 	cout << "The length of the List "<< plist->len<< endl;;
// }

//Joseph function implement
void joseph(Linklist* plist,int m,int k)
{  
	node_t *pPre=plist->ptail;
	node_t *pCur=plist->phead;
	int i,j;
cout << "出隊列的順序依次爲： "<< endl;
	while(plist->len != 1)
	{
		i=0;
		j=0;
		while(j<k-1)
		{
			pPre=pPre->next;
			j++;
		}
		while(i< m -1)
		{
			pPre=pPre->next;
			i++;
		}
		pCur=pPre->next;
		int temp=pCur->data;
	    cout <<"第 " << temp << "  我的 "<< endl ;
		pPre->next=pCur->next;
		free(pCur);
		plist->len--;
	}
	cout <<"第 " << pPre->data << " 我的" << endl; ;
	cout << "The last one is:" << pPre->data<< endl;
}
int main(int argc, char * argv[])
{
	int n=0;
	cout <<"約瑟夫環長度爲 : "<<endl;;
	cin >> n;
	int m=0;
	cout << "每此數到m個時，此人出列"<<endl;
	int k;
    cin >> k;
	cout << "從第k 個開始數" << endl;
	cin >>m;
	Linklist pList;
	init_list(&pList);
	Create_List(&pList,n);
//	Print_List(&pList);
	joseph(&pList,m,k);
	return 0;
}