#include #define pb push_back #define eb emplace_back #define fi first #define se second #define rep(i,N) for(long long i = 0; i < (long long)(N); i++) #define repr(i,N) for(long long i = (long long)(N) - 1; i >= 0; i--) #define rep1(i,N) for(long long i = 1; i <= (long long)(N) ; i++) #define repr1(i,N) for(long long i = (N) ; (long long)(i) > 0 ; i--) #define each(x,v) for(auto& x : v) #define all(v) (v).begin(),(v).end() #define sz(v) ((int)(v).size()) #define ini(...) int __VA_ARGS__; in(__VA_ARGS__) #define inl(...) long long __VA_ARGS__; in(__VA_ARGS__) #define ins(...) string __VA_ARGS__; in(__VA_ARGS__) using namespace std; void solve(); using ll = long long; template using V = vector; using vi = V; using vl = V<>; using vvi = V< V >; constexpr int inf = 1001001001; constexpr ll infLL = (1LL << 61) - 1; struct IoSetupNya {IoSetupNya() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(15); cerr << fixed << setprecision(7);} } iosetupnya; template inline bool amin(T &x, U y) { return (y < x) ? (x = y, true) : false; } template inline bool amax(T &x, U y) { return (x < y) ? (x = y, true) : false; } template ostream& operator <<(ostream& os, const pair &p) { os << p.first << " " << p.second; return os; } template istream& operator >>(istream& is, pair &p) { is >> p.first >> p.second; return is; } template ostream& operator <<(ostream& os, const vector &v) { int s = (int)v.size(); rep(i,s) os << (i ? " " : "") << v[i]; return os; } template istream& operator >>(istream& is, vector &v) { for(auto &x : v) is >> x; return is; } void in(){} template void in(T &t,U &...u){ cin >> t; in(u...);} void out(){cout << "\n";} template void out(const T &t,const U &...u){ cout << t; if(sizeof...(u)) cout << " "; out(u...);} templatevoid die(T x){out(x); exit(0);} #ifdef NyaanDebug #include "NyaanDebug.h" #define trc(...) do { cerr << #__VA_ARGS__ << " = "; dbg_out(__VA_ARGS__);} while(0) #define trca(v,N) do { cerr << #v << " = "; array_out(v , N);cout << endl;} while(0) #else #define trc(...) #define trca(...) int main(){solve();} #endif #define inc(...) char __VA_ARGS__; in(__VA_ARGS__) #define in2(N,s,t) rep(i,N){in(s[i] , t[i]);} #define in3(N,s,t,u) rep(i,N){in(s[i] , t[i] , u[i]);} using vd = V; using vs = V; using vvl = V< V<> >; templateusing heap = priority_queue< T , V , greater >; using P = pair; using vp = V

; constexpr int MOD = /** 1000000007; //*/ 998244353; ////////////////// template void fwt(vector& f) { int n = f.size(); for (int i = 1; i < n; i <<= 1) { for (int j = 0; j < n; j++) { if ((j & i) == 0) { f[j] += f[j | i]; } } } } template void ifwt(vector& f) { int n = f.size(); for (int i = 1; i < n; i <<= 1) { for (int j = 0; j < n; j++) { if ((j & i) == 0) { f[j] -= f[j | i]; } } } } __int128_t gcd(__int128_t x, __int128_t y){ __int128_t z; if(x > y) swap(x,y); while(x){ x = y % (z = x); y = z; } return y; } std::ostream &operator<<(std::ostream &dest, __int128_t value) { std::ostream::sentry s(dest); if (s) { __uint128_t tmp = value < 0 ? -value : value; char buffer[128]; char *d = std::end(buffer); do { --d; *d = "0123456789"[tmp % 10]; tmp /= 10; } while (tmp != 0); if (value < 0) { --d; *d = '-'; } int len = std::end(buffer) - d; if (dest.rdbuf()->sputn(d, len) != len) { dest.setstate(std::ios_base::badbit); } } return dest; } __int128 parse(string &s) { __int128 ret = 0; for (int i = 0; i < (int)s.length(); i++) if ('0' <= s[i] && s[i] <= '9') ret = 10 * ret + s[i] - '0'; return ret; } void solve(){ ini(N); vi a(N); in(a); int M = 1; while(M < N) M *= 2; #define inf 1e13 vector<__int128_t> b(M , 0) , f(M , 0); rep(i , N){ if(a[i] != -1) b[i] = a[i] , f[i] = 1; else b[i] = 0 , f[i] = inf; } fwt(b); each(x , b) x *= x; ifwt(b); fwt(f); each(x , f) x *= x; ifwt(f); //rep(i , N) trc(i , (ll)(b[i]) , (ll)(f[i])); __int128_t ans = 0; rep(i , N){ if(f[i] < __int128_t(inf / 2) )ans = gcd(ans , b[i]); } ans = (ans == 0) ? -1 : ans; cout << ans << "\n"; }