#include "bits/stdc++.h" #include #include #include #include #include #include "atcoder/all" #include //#include //using namespace boost::multiprecision; // std::fixed << std::setprecision(10) << using namespace std; using namespace atcoder; using ll = long long; using ull = unsigned long long; using mint = modint998244353; using mint2 = modint1000000007; const double eps = 1e-9; #define REP(i, n) for (ll i = 0; i < ll(n); ++i) #define REPI(i, init, n) for (ll i = init; i < ll(n); ++i) #define REPD(i, init) for (ll i = init; i >=0; --i) #define REPDI(i, init, n) for (ll i = init; i >=n; --i) #define REPE(i, c) for (const auto& i : c) #define TCASE() ll t; cin >> t; REP(i, t) using vl = vector; #define VL(a, n) vector a; a.assign(n, 0); #define VLI(a, n) vector a; a.assign(n, 0); for(auto& x : a) cin >> x; #define VSI(a, n) vector a; a.assign(n, ""); for(auto& x : a) cin >> x; using vvl = vector>; #define VVLI(a, n, m, init) vector> a(n); for(auto& x : a) x.assign(m, init); using vd = vector; using pl = pair; struct uv { ll u; ll v; ll c; }; #define VUVI(a, n) vector a; a.assign(n, {0, 0, 1}); for(auto& x : a) {cin >> x.u >> x.v; x.u--; x.v--;} #define VUVCI(a, n) vector a; a.assign(n, {0, 0, 0}); for(auto& x : a) {cin >> x.u >> x.v >> x.c; x.u--; x.v--;} vvl to_edge(const ll n, const vector& v) { vvl ret(n); for (auto& x : v) ret[x.u].push_back(x.v); return ret; } vvl to_edge_d(const ll n, const vector& v) { vvl ret(n); for (auto& x : v) { ret[x.u].push_back(x.v); ret[x.v].push_back(x.u); } return ret; } template using pql = priority_queue; template using pqg = priority_queue, greater>; using vm = vector; using vvm = vector; void yn(bool f) { std::cout << (f ? "Yes" : "No") << endl; }; template void ov(const T& v) { for (auto it = v.begin(); it != v.end(); it++) { if (it != v.begin()) cout << " "; cout << *it; } }; template<> void ov(const vm& v) { for (auto it = v.begin(); it != v.end(); it++) { if (it != v.begin()) cout << " "; cout << it->val(); } }; const ll llhuge = 1LL << 60; //十分でかいが多少足しても溢れない数値 auto gmax(const auto& a, const auto& b) { return a > b ? a : b; }; auto gmin(const auto& a, const auto& b) { return a < b ? a : b; }; template bool chmin(T& a, const U& b) { const T olda = a; a = gmin(a, b); return olda != a; } template bool chmax(T& a, const U& b) { const T olda = a; a = gmax(a, b); return olda != a; } template void mysort(T& v) { std::sort(begin(v), end(v)); }; template void mysort(T& v, U pr) { std::sort(begin(v), end(v), pr); }; template void myrev(T& v) { std::reverse(begin(v), end(v)); }; vector pr; void Eratosthenes(int n) { pr.assign(n, false); for (int i = 0; i < n; i++) { pr[i] = true; } pr[0] = pr[1] = false; for (int i = 2; i < n; i++) { if (pr[i]) { for (int j = 0; i * (j + 2) < n; j++) { pr[i * (j + 2)] = false; } } } } ll question(ll a, ll b) { cout << "? " << a + 1 << " " << b + 1 << endl; ll ret; cin >> ret; return ret; } int main() { cin.tie(nullptr); ios::sync_with_stdio(false); ll n; cin >> n; if (n == 1) { cout << "! 1 1" << endl; return 0; } Eratosthenes(n + 1); //n以下の最大の素数を求める ll mpr = 0; REPD(i, n) { if (pr[i]) { mpr = i; break; } } vl ansa(n, -1); vl ansb(n, -1); //a[0]と全てのbについて確認する map mp; ll dib = 0; REP(i, n) { ll ans = question(0, i); mp[ans].push_back(i); if (ans % mpr == 0) dib = i; } if (mp.begin()->second.size() == 1) { //a[0]は1 ansa[0] = 1; ll b1i = 0; REP(i, n) { ll ans = question(0, i); ansb[i] = ans; if (ans == 1) b1i = i; } REP(i, n) { if (i == 0) continue; ll ans = question(i, b1i); ansa[i] = ans; } } else if (mp.begin()->second.size() == 2) { //a[0]は素数 ansa[0] = mp.begin()->first; //どちらかが1 ll b0 = mp.begin()->second[0]; ll b1 = mp.begin()->second[1]; ll a1b0 = question(1, b0); ll a1b1 = question(1, b1); ll b1t = -1; if (a1b0 < a1b1) { ansb[b0] = 1; ansb[b1] = ansa[0]; b1t = b0; } else { ansb[b1] = 1; ansb[b0] = ansa[0]; b1t = b1; } ll a1i = 0; REP(i, n) { if (ansa[i] != -1) continue; ll ans = question(i, b1t); ansa[i] = ans; if (ans == 1) a1i = i; } REP(i, n) { if (ansb[i] != -1) continue; ll ans = question(a1i, i); ansb[i] = ans; } } else { //a[0]は合成数 ansb[dib] = mpr; vl unk; //確定しない要素が2個あるはず REP(i, n) { if (ansa[i] != -1) continue; ll ans = question(i, dib); if (ans == mpr) { unk.push_back(i); } else { ansa[i] = ans / mpr; } } ll tb = 0; //このbで確認する if (dib == 0) tb++; ll a0b0 = question(unk[0], tb); ll a1b0 = question(unk[1], tb); ll a1t = -1; if (a0b0 < a1b0) { ansa[unk[0]] = 1; ansa[unk[1]] = mpr; ansb[tb] = a0b0; a1t = unk[0]; } else { ansa[unk[1]] = 1; ansa[unk[0]] = mpr; ansb[tb] = a1b0; a1t = unk[1]; } REP(i, n) { if (ansb[i] != -1) continue; ll ans = question(a1t, i); ansb[i] = ans; } } cout << "!"; REP(i, n) { cout << " " << ansa[i]; } REP(i, n) { cout << " " << ansb[i]; } cout << endl; }