// #pragma GCC target("avx2") // #pragma GCC optimize("O3") // #pragma GCC optimize("unroll-loops") #include using namespace std; namespace templates { // type using ll = long long; using ull = unsigned long long; template using pq = priority_queue; template using qp = priority_queue, greater>; #define vec(T, A, ...) vector A(__VA_ARGS__); #define vvec(T, A, h, ...) vector> A(h, vector(__VA_ARGS__)); #define vvvec(T, A, h1, h2, ...) vector>> A(h1, vector>(h2, vector(__VA_ARGS__))); // for loop #define fori1(a) for (ll _ = 0; _ < (a); _++) #define fori2(i, a) for (ll i = 0; i < (a); i++) #define fori3(i, a, b) for (ll i = (a); i < (b); i++) #define fori4(i, a, b, c) for (ll i = (a); ((c) > 0 || i > (b)) && ((c) < 0 || i < (b)); i += (c)) #define overload4(a, b, c, d, e, ...) e #define fori(...) overload4(__VA_ARGS__, fori4, fori3, fori2, fori1)(__VA_ARGS__) // declare and input // clang-format off #define INT(...) int __VA_ARGS__; inp(__VA_ARGS__); #define LL(...) ll __VA_ARGS__; inp(__VA_ARGS__); #define STRING(...) string __VA_ARGS__; inp(__VA_ARGS__); #define CHAR(...) char __VA_ARGS__; inp(__VA_ARGS__); #define DOUBLE(...) double __VA_ARGS__; STRING(str___); __VA_ARGS__ = stod(str___); #define VEC(T, A, n) vector A(n); inp(A); #define VVEC(T, A, n, m) vector> A(n, vector(m)); inp(A); // clang-format on // const value const ll MOD1 = 1000000007; const ll MOD9 = 998244353; const double PI = acos(-1); // other macro #ifndef RIN__LOCAL // #define endl "\n" #endif #define spa ' ' #define len(A) ll(A.size()) #define all(A) begin(A), end(A) // function vector stoc(string &S) { int n = S.size(); vector ret(n); for (int i = 0; i < n; i++) ret[i] = S[i]; return ret; } string ctos(vector &S) { int n = S.size(); string ret = ""; for (int i = 0; i < n; i++) ret += S[i]; return ret; } template auto min(const T &a) { return *min_element(all(a)); } template auto max(const T &a) { return *max_element(all(a)); } template auto clamp(T &a, const S &l, const S &r) { return (a > r ? r : a < l ? l : a); } template inline bool chmax(T &a, const S &b) { return (a < b ? a = b, 1 : 0); } template inline bool chmin(T &a, const S &b) { return (a > b ? a = b, 1 : 0); } template inline bool chclamp(T &a, const S &l, const S &r) { auto b = clamp(a, l, r); return (a != b ? a = b, 1 : 0); } template T sum(vector &A) { T tot = 0; for (auto a : A) tot += a; return tot; } template vector compression(vector X) { sort(all(X)); X.erase(unique(all(X)), X.end()); return X; } // input and output namespace io { // vector template istream &operator>>(istream &is, vector &A) { for (auto &a : A) is >> a; return is; } template ostream &operator<<(ostream &os, vector &A) { for (size_t i = 0; i < A.size(); i++) { os << A[i]; if (i != A.size() - 1) os << ' '; } return os; } // vector> template istream &operator>>(istream &is, vector> &A) { for (auto &a : A) is >> a; return is; } template ostream &operator<<(ostream &os, vector> &A) { for (size_t i = 0; i < A.size(); i++) { os << A[i]; if (i != A.size() - 1) os << endl; } return os; } // pair template istream &operator>>(istream &is, pair &A) { is >> A.first >> A.second; return is; } template ostream &operator<<(ostream &os, pair &A) { os << A.first << ' ' << A.second; return os; } // vector> template ostream &operator<<(ostream &os, vector> &A) { for (size_t i = 0; i < A.size(); i++) { os << A[i]; if (i != A.size() - 1) os << endl; } return os; } // set template ostream &operator<<(ostream &os, set &A) { for (auto itr = A.begin(); itr != A.end(); itr++) { os << *itr; if (next(itr) != A.end()) os << ' '; } return os; } // unordered_set template ostream &operator<<(ostream &os, unordered_set &A) { for (auto itr = A.begin(); itr != A.end(); itr++) { os << *itr; if (next(itr) != A.end()) os << ' '; } return os; } // multiset template ostream &operator<<(ostream &os, multiset &A) { for (auto itr = A.begin(); itr != A.end(); itr++) { os << *itr; if (next(itr) != A.end()) os << ' '; } return os; } // unordered_multiset template ostream &operator<<(ostream &os, unordered_multiset &A) { for (auto itr = A.begin(); itr != A.end(); itr++) { os << *itr; if (next(itr) != A.end()) os << endl; } return os; } // map template ostream &operator<<(ostream &os, map &A) { for (auto itr = A.begin(); itr != A.end(); itr++) { os << *itr; if (next(itr) != A.end()) os << endl; } return os; } // unordered_map template ostream &operator<<(ostream &os, unordered_map &A) { for (auto itr = A.begin(); itr != A.end(); itr++) { os << *itr; if (next(itr) != A.end()) os << endl; } return os; } // tuple template struct TuplePrint { static ostream &print(ostream &os, const T &t) { TuplePrint::print(os, t); os << ' ' << get(t); return os; } }; template struct TuplePrint { static ostream &print(ostream &os, const T &t) { os << get<0>(t); return os; } }; template ostream &operator<<(ostream &os, const tuple &t) { TuplePrint::print(os, t); return os; } // queue template ostream &operator<<(ostream &os, queue &A) { auto B = A; while (!B.empty()) { os << B.front(); B.pop(); if (!B.empty()) os << ' '; } return os; } // deque template ostream &operator<<(ostream &os, deque &A) { auto B = A; while (!B.empty()) { os << B.front(); B.pop_front(); if (!B.empty()) os << ' '; } return os; } // stack template ostream &operator<<(ostream &os, stack &A) { auto B = A; stack C; while (!B.empty()) { C.push(B.top()); B.pop(); } while (!C.empty()) { os << C.top(); C.pop(); if (!C.empty()) os << ' '; } return os; } // priority_queue template ostream &operator<<(ostream &os, priority_queue &A) { auto B = A; while (!B.empty()) { os << B.top(); B.pop(); if (!B.empty()) os << endl; } return os; } // bitset template ostream &operator<<(ostream &os, bitset &A) { for (size_t i = 0; i < N; i++) { os << A[i]; } return os; } // io functions void FLUSH() { cout << flush; } void print() { cout << endl; } template void print(Head &&head, Tail &&...tail) { cout << head; if (sizeof...(Tail)) cout << spa; print(forward(tail)...); } template void prisep(vector &A, S sep) { int n = A.size(); for (int i = 0; i < n; i++) { cout << A[i]; if (i != n - 1) cout << sep; } cout << endl; } template void priend(T A, S end) { cout << A << end; } template void prispa(T A) { priend(A, spa); } template bool printif(bool f, T A, S B) { if (f) print(A); else print(B); return f; } template void inp(T &...a) { (cin >> ... >> a); } } // namespace io using namespace io; // read graph vector> read_edges(int n, int m, bool direct = false, int indexed = 1) { vector> edges(n, vector()); for (int i = 0; i < m; i++) { INT(u, v); u -= indexed; v -= indexed; edges[u].push_back(v); if (!direct) edges[v].push_back(u); } return edges; } vector> read_tree(int n, int indexed = 1) { return read_edges(n, n - 1, false, indexed); } template vector>> read_wedges(int n, int m, bool direct = false, int indexed = 1) { vector>> edges(n, vector>()); for (int i = 0; i < m; i++) { INT(u, v); T w; inp(w); u -= indexed; v -= indexed; edges[u].push_back({v, w}); if (!direct) edges[v].push_back({u, w}); } return edges; } template vector>> read_wtree(int n, int indexed = 1) { return read_wedges(n, n - 1, false, indexed); } // yes / no namespace yesno { // yes inline bool yes(bool f = true) { cout << (f ? "yes" : "no") << endl; return f; } inline bool Yes(bool f = true) { cout << (f ? "Yes" : "No") << endl; return f; } inline bool YES(bool f = true) { cout << (f ? "YES" : "NO") << endl; return f; } // no inline bool no(bool f = true) { cout << (!f ? "yes" : "no") << endl; return f; } inline bool No(bool f = true) { cout << (!f ? "Yes" : "No") << endl; return f; } inline bool NO(bool f = true) { cout << (!f ? "YES" : "NO") << endl; return f; } // possible inline bool possible(bool f = true) { cout << (f ? "possible" : "impossible") << endl; return f; } inline bool Possible(bool f = true) { cout << (f ? "Possible" : "Impossible") << endl; return f; } inline bool POSSIBLE(bool f = true) { cout << (f ? "POSSIBLE" : "IMPOSSIBLE") << endl; return f; } // impossible inline bool impossible(bool f = true) { cout << (!f ? "possible" : "impossible") << endl; return f; } inline bool Impossible(bool f = true) { cout << (!f ? "Possible" : "Impossible") << endl; return f; } inline bool IMPOSSIBLE(bool f = true) { cout << (!f ? "POSSIBLE" : "IMPOSSIBLE") << endl; return f; } // Alice Bob inline bool Alice(bool f = true) { cout << (f ? "Alice" : "Bob") << endl; return f; } inline bool Bob(bool f = true) { cout << (f ? "Bob" : "Alice") << endl; return f; } // Takahashi Aoki inline bool Takahashi(bool f = true) { cout << (f ? "Takahashi" : "Aoki") << endl; return f; } inline bool Aoki(bool f = true) { cout << (f ? "Aoki" : "Takahashi") << endl; return f; } } // namespace yesno using namespace yesno; } // namespace templates using namespace templates; template T modpow(T a, long long b, T MOD) { T ret = 1; while (b > 0) { if (b & 1) { ret *= a; ret %= MOD; } a *= a; a %= MOD; b >>= 1; } return ret; } bool isPrime(long long n) { if (n <= 1) return false; else if (n == 2) return true; else if (n % 2 == 0) return false; long long A[7] = {2, 325, 9375, 28178, 450775, 9780504, 1795265022}; long long s = 0; long long d = n - 1; while (d % 2 == 0) { d /= 2; s++; } for (auto a : A) { if (a % n == 0) return true; long long x = modpow<__int128_t>(a, d, n); if (x != 1) { bool ng = true; for (int i = 0; i < s; i++) { if (x == n - 1) { ng = false; break; }; x = __int128_t(x) * x % n; } if (ng) return false; } } return true; } struct RandomNumberGenerator { mt19937 mt; RandomNumberGenerator() : mt(chrono::steady_clock::now().time_since_epoch().count()) {} RandomNumberGenerator(int seed) : mt(seed) {} int operator()(int a, int b) { uniform_int_distribution dist(a, b - 1); return dist(mt); } int operator()(int b) { return (*this)(0, b); } }; vector AA, BB; int qq = 0; void init(int n) { qq = 0; RandomNumberGenerator rng; AA.resize(n); BB.resize(n); iota(all(AA), 1); iota(all(BB), 1); fori(i, 1, n) { swap(AA[i], AA[rng(i)]); } fori(i, 1, n) { swap(BB[i], BB[rng(i)]); } // AA = {3, 4, 2, 1}; // BB = {3, 1, 4, 2}; AA = {2, 1}; BB = {2, 1}; print(AA); print(BB); } void solve() { INT(n); #ifdef RIN__LOCAL init(n); #endif vec(int, A, n, -1); vec(int, B, n, -1); vec(int, C, n, -1); vec(int, D, n, -1); bool rev = false; auto ask = [&](int i, int j) -> int { if (rev) swap(i, j); #ifdef RIN__LOCAL return AA[i] * BB[j] / gcd(AA[i], BB[j]); #endif print("?", i + 1, j + 1); qq++; LL(x); return x; }; auto ans = [&]() -> void { if (rev) swap(A, B); priend("!", " "); priend(A, " "); print(B); #ifdef RIN__LOCAL assert(qq <= 3 * n); assert(A == AA); assert(B == BB); #endif }; if (n == 1) { print("! 1 1"); return; } else if (n == 2) { vvec(int, C, 2, 2); fori(i, 2) fori(j, 2) C[i][j] = ask(i, j); fori(i, 2) fori(j, 2) { A[i] = 2; B[j] = 2; A[1 - i] = 1; B[1 - j] = 1; bool ok = true; fori(ii, 2) fori(jj, 2) { if (C[ii][jj] != (A[ii] * B[jj] / gcd(A[ii], B[jj]))) ok = false; } if (ok) { ans(); return; }; } } int ma = 1; fori(j, 1, n + 1) { if (isPrime(j)) ma = j; } int c = 0; int jj; bool all_ = true; // n fori(j, n) { C[j] = ask(0, j); if (C[j] % ma == 0) { c++; jj = j; } else { all_ = false; } } // 2n - 1 if (all_) { swap(A, B); jj = 0; } A[0] = C[jj]; fori(i, 1, n) { A[i] = ask(i, jj); } if (max(A) == n) { int ii; fori(i, n) { if (A[i] == 1) ii = i; } fori(j, n) B[j] = ask(ii, j); ans(); } else { int ii; fori(i, n) { A[i] /= ma; if (A[i] == 1) ii = i; } fori(j, n) B[j] = ask(ii, j); if (max(B) == n) { fori(i, n) { if (A[i] == 1 and i != ii) A[i] = ma; } } else { A[ii] = ma; fori(j, n) B[j] /= ma; vec(int, ind, 0); fori(j, n) { if (B[j] == 1) ind.push_back(j); } assert(ind.size() == 2); fori(i, n) { if (A[i] == 1) ii = i; } if (ask(ii, ind[0]) == 1) B[ind[1]] = ma; else B[ind[0]] = ma; } ans(); } } int main() { // cin.tie(0)->sync_with_stdio(0); // cout << fixed << setprecision(12); int t; t = 1; cin >> t; while (t--) solve(); return 0; }