#if defined(LOCAL) or not defined(LUOGU)
#pragma GCC optimize(3)
#pragma GCC optimize("Ofast,unroll-loops")
#endif
#include<bits/stdc++.h>
using namespace std;
struct time_helper
{
#ifdef LOCAL
    clock_t time_last;
#endif
    time_helper()
    {
#ifdef LOCAL
        time_last=clock();
#endif
    }
    void test()
    {
#ifdef LOCAL
        auto time_now=clock();
        std::cerr<<"time:"<<1.*(time_now-time_last)/CLOCKS_PER_SEC<<";all_time:"<<1.*time_now/CLOCKS_PER_SEC<<std::endl;
        time_last=time_now;
#endif
    }
    ~time_helper()
    {
        test();
    }
}time_helper;
#ifdef LOCAL
#include"dbg.h"
#else
#define dbg(...) (__VA_ARGS__)
#endif
namespace Fread{const int SIZE=1<<16;char buf[SIZE],*S,*T;inline char getchar(){if(S==T){T=(S=buf)+fread(buf,1,SIZE,stdin);if(S==T)return'\n';}return *S++;}}namespace Fwrite{const int SIZE=1<<16;char buf[SIZE],*S=buf,*T=buf+SIZE;inline void flush(){fwrite(buf,1,S-buf,stdout);S=buf;}inline void putchar(char c){*S++=c;if(S==T)flush();}struct NTR{~NTR(){flush();}}ztr;}
#define getchar Fread::getchar
#define putchar Fwrite::putchar
#define Setprecision 10
#define between '\n'
#define __int128 long long
template<typename T>struct is_char{static constexpr bool value=(std::is_same<T,char>::value||std::is_same<T,signed char>::value||std::is_same<T,unsigned char>::value);};template<typename T>struct is_integral_ex{static constexpr bool value=(std::is_integral<T>::value||std::is_same<T,__int128>::value)&&!is_char<T>::value;};template<typename T>struct is_floating_point_ex{static constexpr bool value=std::is_floating_point<T>::value||std::is_same<T,__float128>::value;};namespace Fastio{struct Reader{template<typename T>typename std::enable_if_t<std::is_class<T>::value,Reader&>operator>>(T&x){for(auto &y:x)*this>>y;return *this;}template<typename T>typename std::enable_if_t<is_integral_ex<T>::value,Reader&>operator>>(T&x){char c=getchar();short f=1;while(c<'0'||c>'9'){if(c=='-')f*=-1;c=getchar();}x=0;while(c>='0'&&c<='9'){x=(x<<1)+(x<<3)+(c^48);c=getchar();}x*=f;return *this;}template<typename T>typename std::enable_if_t<is_floating_point_ex<T>::value,Reader&>operator>>(T&x){char c=getchar();short f=1,s=0;x=0;T t=0;while((c<'0'||c>'9')&&c!='.'){if(c=='-')f*=-1;c=getchar();}while(c>='0'&&c<='9'&&c!='.')x=x*10+(c^48),c=getchar();if(c=='.')c=getchar();else return x*=f,*this;while(c>='0'&&c<='9')t=t*10+(c^48),s++,c=getchar();while(s--)t/=10.0;x=(x+t)*f;return*this;}template<typename T>typename std::enable_if_t<is_char<T>::value,Reader&>operator>>(T&c){c=getchar();while(c=='\n'||c==' '||c=='\r')c=getchar();return *this;}Reader&operator>>(char*str){int len=0;char c=getchar();while(c=='\n'||c==' '||c=='\r')c=getchar();while(c!='\n'&&c!=' '&&c!='\r')str[len++]=c,c=getchar();str[len]='\0';return*this;}Reader&operator>>(std::string&str){str.clear();char c=getchar();while(c=='\n'||c==' '||c=='\r')c=getchar();while(c!='\n'&&c!=' '&&c!='\r')str.push_back(c),c=getchar();return*this;}Reader(){}}cin;const char endl='\n';struct Writer{typedef __int128 mxdouble;template<typename T>typename std::enable_if_t<std::is_class<T>::value,Writer&>operator<<(T x){for(auto &y:x)*this<<y<<between;*this<<'\n';return *this;}template<typename T>typename std::enable_if_t<is_integral_ex<T>::value,Writer&>operator<<(T x){if(x==0)return putchar('0'),*this;if(x<0)putchar('-'),x=-x;static int sta[45];int top=0;while(x)sta[++top]=x%10,x/=10;while(top)putchar(sta[top]+'0'),--top;return*this;}template<typename T>typename std::enable_if_t<is_floating_point_ex<T>::value,Writer&>operator<<(T x){if(x<0)putchar('-'),x=-x;x+=pow(10,-Setprecision)/2;mxdouble _=x;x-=(T)_;static int sta[45];int top=0;while(_)sta[++top]=_%10,_/=10;if(!top)putchar('0');while(top)putchar(sta[top]+'0'),--top;putchar('.');for(int i=0;i<Setprecision;i++)x*=10;_=x;while(_)sta[++top]=_%10,_/=10;for(int i=0;i<Setprecision-top;i++)putchar('0');while(top)putchar(sta[top]+'0'),--top;return*this;}template<typename T>typename std::enable_if_t<is_char<T>::value,Writer&>operator<<(T c){putchar(c);return*this;}Writer&operator<<(char*str){int cur=0;while(str[cur])putchar(str[cur++]);return *this;}Writer&operator<<(const char*str){int cur=0;while(str[cur])putchar(str[cur++]);return*this;}Writer&operator<<(std::string str){int st=0,ed=str.size();while(st<ed)putchar(str[st++]);return*this;}Writer(){}}cout;}
#define cin Fastio::cin
#define cout Fastio::cout
#define endl Fastio::endl
 
void solve();
main()
{
#ifndef LOCAL
#ifndef ONLINE_JUDGE
freopen("hex.in","r",stdin);
freopen("hex.out","w",stdout);
#endif
#endif
    int t=1;
    // cin>>t;
    while(t--)solve();
}
constexpr int p=998244353;
int qp(int x,int n=p-2)
{
	int r=1;
	while(n)
	{
		if(n&1)r=1ll*r*x%p;
		x=1ll*x*x%p,n>>=1;
	}
	return r;
}
int a[1296][1297];
int gauss(int n)
{
    for(int x=0;x<n;x++)
    {
        for(int y=x;y<n;y++)
        if(a[y][x]){swap(a[x],a[y]);break;}
        if(!a[x][x])return 0;
        for(int y=0;y<n;y++)
        if(y!=x)
        {
            int d=1ll*a[y][x]*qp(a[x][x])%p;
            for(int z=x;z<=n;z++)
            a[y][z]=(a[y][z]-1ll*a[x][z]*d)%p;
        }
//		for(int x=0;x<n;x++)
//		{
//			for(int y=0;y<=n;y++)
//			cerr<<a[x][y]<<' ';cerr<<endl;
//		}cerr<<endl;
    }
    for(int x=0;x<n;x++)
    a[x][n]=1ll*a[x][n]*qp(-a[x][x])%p;
    return 1;
}
constexpr int table[6][6]=
{
{0,1,2,3,4,5},
{1,0,3,2,5,4},
{2,4,0,5,1,3},
{3,5,1,4,0,2},
{4,2,5,0,3,1},
{5,3,4,1,2,0}
};
int trans(int u,int v)
{
	vector<int>res;
	while(u||v)
	{
		res.emplace_back(table[v%6][u%6]);
		u/=6,v/=6;
	}
	reverse(res.begin(),res.end());
	for(auto q:res)u=u*6+q;
	return u;
}
void solve()
{
	int n;
	cin>>n;
	if(n<=4)
	{
		n=pow(6,n);
		vector<int>c(n);
		cin>>c;
		int fl=1;
		for(auto q:c)fl=(fl+q)%p;
		fl=qp(fl);
		for(auto &q:c)q=1ll*fl*q%p;
		a[0][n]=1;
		for(int x=0;x<n;x++)
		{
			a[x][x]--;
			for(int y=0;y<n;y++)
			{
				int _=trans(x,y);
				a[_][x]=(a[_][x]+c[y])%p;
			}
		}
//		for(int x=0;x<n;x++)
//		{
//			for(int y=0;y<=n;y++)
//			cerr<<a[x][y]<<' ';cerr<<endl;
//		}cerr<<endl;
		if(!gauss(n))cout<<-1<<endl;
		else
		{
//			for(int x=0;x<n;x++)
//			{
//				for(int y=0;y<=n;y++)
//				cerr<<a[x][y]<<' ';cerr<<endl;
//			}cerr<<endl;
			int ans=0;
			for(int x=0;x<n;x++)
			a[x][n]=(1ll*a[x][n]*fl%p+p)%p,ans^=a[x][n];
			cout<<ans<<endl;
		}
		return;
	}
}