【博弈论】【SG函数】【找规律】Divide by Zero 2017 and Codeforces Round #399 (Div. 1 + Div. 2, combined) E. Game of Stones
打表找规律即可。
1,1,2,2,2,3,3,3,3,4,4,4,4,4...
注意打表的时候,sg值不只与剩下的石子数有关,也和之前取走的方案有关。
//#include<cstdio>
//#include<set>
//#include<cstring>
//using namespace std;
//bool vis[16];
//int n,SG[16][1<<16];
//int sg(int x,int moved)
//{
// if(SG[x][moved]!=-1)
// return SG[x][moved];
// set<int>S;
// for(int i=1;i<=x;++i)
// if(!((moved>>(i-1))&1))
// S.insert(sg(x-i,moved|(1<<(i-1))));
// for(int i=0;;++i)
// if(S.find(i)==S.end())
// return SG[x][moved]=i;
//}
//int main()
//{
// scanf("%d",&n);
// for(int i=1;i<=n;++i)
// {
// memset(SG,-1,sizeof(SG));
// printf("%d:%d\n",i,sg(i,0));
// }
// return 0;
//}
#include<cstdio>
using namespace std;
int sg[100],n,ans,e;
int main()
{
// freopen("e.in","r",stdin);
int x;
for(int i=1;;++i)
{
for(int j=1;j<=i+1;++j)
{
sg[++e]=i;
if(e==60)
goto OUT;
}
}
OUT:
scanf("%d",&n);
for(int i=1;i<=n;++i)
{
scanf("%d",&x);
ans^=sg[x];
}
puts(ans ? "NO" : "YES");
return 0;
}
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