#include #include using namespace std; template ostream& operator << (ostream& os, const vector& vec) { if(vec.empty()) return os; os << vec[0]; for(auto it = vec.begin(); ++it != vec.end(); ) os << ' ' << *it; return os; } struct Weighted_dsu { public: Weighted_dsu() : _n(0) {} Weighted_dsu(int n) : _n(n), parent_or_size(n, -1), diff_weight(n) {} bool merge(int a, int b, long long w) { assert(0 <= a && a < _n); assert(0 <= b && b < _n); int x = leader(a), y = leader(b); w += diff_weight[a] - diff_weight[b]; if(x == y) return w == 0; if (-parent_or_size[x] < -parent_or_size[y]) std::swap(x, y), w *= -1; parent_or_size[x] += parent_or_size[y]; parent_or_size[y] = x; diff_weight[y] = w; return true; } long long diff(int a, int b) { assert(same(a, b)); return diff_weight[b] - diff_weight[a]; } bool same(int a, int b) { assert(0 <= a && a < _n); assert(0 <= b && b < _n); return leader(a) == leader(b); } int leader(int a) { assert(0 <= a && a < _n); if (parent_or_size[a] < 0) return a; int r = leader(parent_or_size[a]); diff_weight[a] += diff_weight[parent_or_size[a]]; return parent_or_size[a] = r; } private: int _n; std::vector parent_or_size, diff_weight; }; int ask(int v, int u){ int res; cout << "1 " << v + 1 << ' ' << u + 1 << endl; cin >> res; if(res == -1) return -1; return res - 1; } void solve(){ int n; cin >> n; Weighted_dsu uf(n); vector ans(n); vector> G; int mx = 0, npos = -1, pos = 0; auto f = [&](int pos){ atcoder::dsu uf2(n); mx = 0; vector> T; for(int v = 0; v < n; v++){ if(v == pos) continue; int u = ask(pos, v); if(u != -1){ uf2.merge(v, u); T.emplace_back(v, u); } } G = uf2.groups(); for(auto &&vec : G){ if(vec.size() > mx){ mx = vec.size(); } } int res = mx >= 3 ? G.size() - 1 : G.size(); for(auto [u, v] : T) uf.merge(u, v, res); for(auto &&vec : G){ sort(vec.begin(), vec.end(), [&](int u, int v){ return uf.diff(u, v) > 0; }); } return res; }; int cur = f(0); if(cur == 1){ if(G[0].size() > G[1].size()) swap(G[0], G[1]); G[1].insert(G[1].begin(), G[0][0]); for(int i = 0; i < n; i++) ans[G[1][i]] = i + 1; cout << "2 " << ans << endl; return; } if(cur != n){ // n を見つけに行く vector fst, lst; for(auto &&vec : G){ if(vec.size() != mx) continue; fst.emplace_back(vec[0]); lst.emplace_back(vec.back()); } int li = 0; for(int i = 0; i < fst.size(); i++){ while(ask(fst[i], lst[li]) != -1){ li++; } } npos = fst[li]; }else{ // nが見つかっている場合 npos = 0; pos = 1; cur = f(1); for(auto &&vec : G){ if(count(vec.begin(), vec.end(), 0) >= 1){ npos = vec[0]; break; } } } f(npos); int mn = 0; for(int i = 0; i < n; i++){ ans[i] = uf.diff(0, i); mn = min(mn, ans[i]); } for(int i = 0; i < n; i++) ans[i] -= mn - 1; cout << "2 " << ans << endl; } int main(){ ios::sync_with_stdio(false); cin.tie(0); int T; cin >> T; while(T--) solve(); }