SG函数模板（洛谷2197nim游戏

 

 

#include <iostream>
#include <cstdio>
#include <queue>
#include <algorithm>
#include <cmath>
#include <cstring>
#define inf 2147483647
#define N 10010
#define p(a) putchar(a)
#define For(i,a,b) for(int i=a;i<=b;++i)
//by war
//2019.8.9
using namespace std;
int T,n,ans;
int f[N],sg[N],a[N];
bool vis[N];
void in(int &x){
    int y=1;char c=getchar();x=0;
    while(c<'0'||c>'9'){if(c=='-')y=-1;c=getchar();}
    while(c<='9'&&c>='0'){ x=(x<<1)+(x<<3)+c-'0';c=getchar();}
    x*=y;
}
void o(int x){
    if(x<0){p('-');x=-x;}
    if(x>9)o(x/10);
    p(x%10+'0');
}

void SG(int n){
    memset(sg,0,sizeof(sg));
    sort(f+1,f+n+1);
    For(i,1,n){
        memset(vis,0,sizeof(vis));
        for(int j=1;j<=n&&f[j]<=i;j++)
            vis[sg[i-f[j]]]=1;
        For(j,0,n)
            if(!vis[j]){
                sg[i]=j;
                break;
            }
    }
}

signed main(){
    in(T);
    For(i,1,1e4)
        f[i]=i;
    SG(1e4);
    while(T--){
        in(n);
        For(i,1,n)
            in(a[i]);
        ans=0;
        For(i,1,n)
            ans^=sg[a[i]];
        if(!ans)
            puts("No");
        else
            puts("Yes");
    }
    return 0;
}