Chess (SG + 状态压缩预处理)

#include<bits/stdc++.h>
#define bit(t) (1 << t)
using namespace std;

const int maxn = 1<<21;
const int k = 22;//k是集合s的大小
int sg[maxn];//sg[n] n表示每堆数量
bool vis[22];

void get_sg(){
    int maxm = 1<<20;
    for(int sta = 0; sta < maxm; sta ++){
//        printf("**%d**\n",sta);
        memset(vis, 0, sizeof(vis));
        for(int i = 19; i >= 0; i --){
            if(sta & bit(i))
            for(int j = i - 1; j >= 0; j --){
                if(sta & bit(j))continue;
                int tmp = sta;
                tmp |= bit(j);
                tmp &= (~bit(i));
                vis[sg[tmp]] = true;
                break;
            }
        }
        for(int i = 0; i < 20; i ++)
        if(!vis[i]){
            sg[sta] = i;break;
        }

    }
}


int main()
{
    get_sg();
    int T,n,m,a,sta;scanf("%d",&T);
    while(T --){
        int goal = 0;
        scanf("%d",&n);
        while(n --){
            scanf("%d",&m);
            sta = 0;
            while(m--){
                scanf("%d",&a);
                sta |= (1 << (20 - a));
            }
            goal ^= sg[sta];
        }
        printf("%s\n",goal?"YES":"NO");
    }
}