ZOJ1083 Win the Game,SG游戏



/*******************************************************************************
 # Author : Neo Fung
 # Email : [email protected]
 # Last modified: 2012-06-13 23:09
 # Filename: ZOJ1083 Win the Game.cpp
 # Description : 
 ******************************************************************************/
#ifdef _MSC_VER
#define DEBUG
#define _CRT_SECURE_NO_DEPRECATE
#endif

#include <fstream>
#include <stdio.h>
#include <iostream>
#include <string.h>
#include <string>
#include <limits.h>
#include <algorithm>
#include <math.h>
#include <numeric>
#include <functional>
#include <ctype.h>
using namespace std;

const int kMAX=100;
const double kEPS=10E-6;

int sg[kMAX];

int GetSG(const int &x)
{
	if(sg[x]>-1)
		return sg[x];
	bool visit[kMAX]={false};
	for(int i=0;i+2<=x;++i)
	{
		visit[GetSG(i)^GetSG(x-2-i)]=true;
	}
	int cnt=0;
	while(visit[cnt]) ++cnt;
	sg[x]=cnt;
	return cnt;
}

int main(void)
{
#ifdef DEBUG  
  freopen("../stdin.txt","r",stdin);
  freopen("../stdout.txt","w",stdout); 
#endif  

  int n,m,tmp;
	memset(sg,-1,sizeof(sg));
	sg[0]=sg[1]=0;

  while(~scanf("%d",&n) && n)
  {
		int ans=0;
		for(int i=0;i<n;++i)
		{
			scanf("%d",&tmp);
			ans^=GetSG(tmp);
		}
		if(ans)
			printf("Yes\n");
		else
			printf("No\n");
  }

  return 0;
}


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