#include<bits/stdc++.h>
#include"interactor.h"
#define Gc() getchar()
#define Me(x,y) memset(x,y,sizeof(x))
#define Mc(x,y) memcpy(x,y,sizeof(x))
#define d(x,y) ((m)*(x-1)+(y))
#define R(n) (rnd()%(n)+1)
#define Pc(x) putchar(x)
#define LB lower_bound
#define UB upper_bound
#define fi first
#define se second
#define eb emplace_back
#define all(x) x.begin(),x.end()
using namespace std;using ll=long long;using db=double;using lb=long db;using ui=unsigned;using ull=unsigned long long;using pii=pair<int,int>;
const int N=2e5+5,M=N*40+5,K=1000+5,mod=998244353,Mod=mod-1;const db eps=1e-9;const int INF=1e9+7;mt19937 rnd(28382);
#define Tp template<typename T>
#define Ts template<typename T,typename... Ar>
namespace Debug{
	Tp void _debug(char* f,T t){cerr<<f<<'='<<t<<endl;}
	Ts void _debug(char* f,T x,Ar... y){while(*f!=',') cerr<<*f++;cerr<<'='<<x<<",";_debug(f+1,y...);}
	#ifdef LOCAL
	#define gdb(...) _debug((char*)#__VA_ARGS__,__VA_ARGS__)
	#else 
	#define gdb(...) void()
	#endif
}using namespace Debug;
void split(ull x,ui &a,ui &b){
	a=x;b=x>>32;
}
ull merge(ui a,ui b){
	return (1ull*b)<<32|a;
}
int guessb(){
	mt19937_64 rnd(time(0));
	int k=85;
	while(k--){
		ui a,b;split(rnd(),a,b);
		ui c,d;split(getperm(merge(a,b),0),c,d);
		ui e,f;split(getperm(merge(c,d^1),1),e,f);e^=1;
		ui g,h;split(getperm(merge(e,f),0),g,h);
		if(g^c^b^f) return 0;
	}
	return 1;
}