#define _USE_MATH_DEFINES #include using namespace std; #define FOR(i,m,n) for(int i=(m);i<(n);++i) #define REP(i,n) FOR(i,0,n) #define ALL(v) (v).begin(),(v).end() using ll = long long; constexpr int INF = 0x3f3f3f3f; constexpr ll LINF = 0x3f3f3f3f3f3f3f3fLL; constexpr double EPS = 1e-8; constexpr int MOD = 1000000007; // constexpr int MOD = 998244353; constexpr int dy[] = {1, 0, -1, 0}, dx[] = {0, -1, 0, 1}; constexpr int dy8[] = {1, 1, 0, -1, -1, -1, 0, 1}, dx8[] = {0, -1, -1, -1, 0, 1, 1, 1}; template inline bool chmax(T &a, U b) { return a < b ? (a = b, true) : false; } template inline bool chmin(T &a, U b) { return a > b ? (a = b, true) : false; } struct IOSetup { IOSetup() { cin.tie(nullptr); ios_base::sync_with_stdio(false); cout << fixed << setprecision(20); } } iosetup; #define int long long // https://tutorialspoint.dev/algorithm/mathematical-algorithms/multiplicative-order // fuction for GCD int GCD ( int a , int b ) { if (b == 0 ) return a; return GCD( b , a%b ) ; } // Fucnction return smallest +ve integer that // holds condition A^k(mod N ) = 1 int multiplicativeOrder(int A, int N) { if (GCD(A, N ) != 1) return -1; // result store power of A that rised to // the power N-1 unsigned int result = 1; int K = 1 ; while (K < N) { // modular arithmetic result = (result * A) % N ; // return samllest +ve integer if (result == 1) return K; // increment power K++; } return -1 ; } signed main() { int t; cin >> t; while (t--) { int n; cin >> n; if (n == 1) { cout << 1 << '\n'; continue; } cout << multiplicativeOrder(2, (n - 1) * 2 + 1) << '\n'; } return 0; // vector a(n * 2); // iota(ALL(a), 0); // for (int k = 1; ; ++k) { // vector nx(n * 2); // REP(i, n) { // nx[i * 2] = a[i]; // nx[i * 2 + 1] = a[n + i]; // } // a.swap(nx); // if (is_sorted(ALL(a))) { // cout << k << '\n'; // break; // } // } }