#line 2 "/Users/noya2/Desktop/Noya2_library/template/template.hpp" using namespace std; #include #line 1 "/Users/noya2/Desktop/Noya2_library/template/inout_old.hpp" namespace noya2 { 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(); for (int i = 0; i < s; i++) 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 << sep; out(u...); } template void out(const vector> &vv){ int s = (int)vv.size(); for (int i = 0; i < s; i++) out(vv[i]); } struct IoSetup { IoSetup(){ cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(15); cerr << fixed << setprecision(7); } } iosetup_noya2; } // namespace noya2 #line 1 "/Users/noya2/Desktop/Noya2_library/template/const.hpp" namespace noya2{ const int iinf = 1'000'000'007; const long long linf = 2'000'000'000'000'000'000LL; const long long mod998 = 998244353; const long long mod107 = 1000000007; const long double pi = 3.14159265358979323; const vector dx = {0,1,0,-1,1,1,-1,-1}; const vector dy = {1,0,-1,0,1,-1,-1,1}; const string ALP = "ABCDEFGHIJKLMNOPQRSTUVWXYZ"; const string alp = "abcdefghijklmnopqrstuvwxyz"; const string NUM = "0123456789"; void yes(){ cout << "Yes\n"; } void no(){ cout << "No\n"; } void YES(){ cout << "YES\n"; } void NO(){ cout << "NO\n"; } void yn(bool t){ t ? yes() : no(); } void YN(bool t){ t ? YES() : NO(); } } // namespace noya2 #line 2 "/Users/noya2/Desktop/Noya2_library/template/utils.hpp" #line 6 "/Users/noya2/Desktop/Noya2_library/template/utils.hpp" namespace noya2{ unsigned long long inner_binary_gcd(unsigned long long a, unsigned long long b){ if (a == 0 || b == 0) return a + b; int n = __builtin_ctzll(a); a >>= n; int m = __builtin_ctzll(b); b >>= m; while (a != b) { int mm = __builtin_ctzll(a - b); bool f = a > b; unsigned long long c = f ? a : b; b = f ? b : a; a = (c - b) >> mm; } return a << std::min(n, m); } template T gcd_fast(T a, T b){ return static_cast(inner_binary_gcd(std::abs(a),std::abs(b))); } long long sqrt_fast(long long n) { if (n <= 0) return 0; long long x = sqrt(n); while ((x + 1) * (x + 1) <= n) x++; while (x * x > n) x--; return x; } template T floor_div(const T n, const T d) { assert(d != 0); return n / d - static_cast((n ^ d) < 0 && n % d != 0); } template T ceil_div(const T n, const T d) { assert(d != 0); return n / d + static_cast((n ^ d) >= 0 && n % d != 0); } template void uniq(std::vector &v){ std::sort(v.begin(),v.end()); v.erase(unique(v.begin(),v.end()),v.end()); } template inline bool chmin(T &x, U y) { return (y < x) ? (x = y, true) : false; } template inline bool chmax(T &x, U y) { return (x < y) ? (x = y, true) : false; } template inline bool range(T l, T x, T r){ return l <= x && x < r; } } // namespace noya2 #line 8 "/Users/noya2/Desktop/Noya2_library/template/template.hpp" #define rep(i,n) for (int i = 0; i < (int)(n); i++) #define repp(i,m,n) for (int i = (m); i < (int)(n); i++) #define reb(i,n) for (int i = (int)(n-1); i >= 0; i--) #define all(v) (v).begin(),(v).end() using ll = long long; using ld = long double; using uint = unsigned int; using ull = unsigned long long; using pii = pair; using pll = pair; using pil = pair; using pli = pair; namespace noya2{ /* ~ (. _________ . /) */ } using namespace noya2; #line 2 "c.cpp" // 18:53 // bool LOCAL = true; bool LOCAL = false; vector jp; mt19937 mt(-1); void solve(){ int n; in(n); if (LOCAL){ jp.resize(n); iota(all(jp),1); shuffle(all(jp),mt); out("p:",jp); cout << flush; } vector memo(n,vector(n,-2)); int qlim = 3*n; auto ask = [&](int i, int j) -> int { if (i > j) swap(i,j); assert(0 <= i && i < j && j < n); if (memo[i][j] != -2){ return memo[i][j]; } assert(qlim >= 1); qlim--; if (LOCAL){ int sum = jp[i] + jp[j]; rep(k,n){ if (jp[k] == sum){ return memo[i][j] = k; } } return memo[i][j] = -1; } cout << "1 " << i+1 << ' ' << j+1 << endl; int ret; in(ret); if (ret != -1) ret--; return memo[i][j] = ret; }; auto say = [&](vector p){ assert(ssize(p) == n); if (LOCAL){ assert(p == jp); cout << "ok" << endl; } cout << "2 " << p << endl; }; random_device rd; // mt19937 gen(rd()); mt19937 gen(-1); auto dfs = [&](auto sfs, vector ids) -> vector { // out("ids",ids); cout << flush; int sz = ids.size(); assert(sz >= 1); if (sz <= 2){ return ids; } uniform_int_distribution dist(0,sz-1); auto take2 = [&]() -> pii { int i = dist(gen); while (true){ int j = dist(gen); if (i != j){ return {ids[i],ids[j]}; } } abort(); }; set st(all(ids)); auto takenotmax = [&](){ // int many = 20; while (true){ // while (many--){ auto [i, j] = take2(); int k = ask(i,j); if (st.contains(k)){ return i; } } abort(); }; int pivot = takenotmax(); // out("pivot",pivot); cout << flush; vector ks(sz,-2); set kst; int ngcnt = 0; rep(i,sz){ if (ids[i] == pivot) continue; ks[i] = ask(pivot,ids[i]); if (!st.contains(ks[i])){ ks[i] = -1; } if (ks[i] != -1){ kst.insert(ks[i]); } else { ngcnt++; } } vector nids; int okcnt = 0; rep(i,sz){ if (ids[i] == pivot) continue; if (ks[i] != -1) okcnt++; if (ks[i] != -1 && !kst.contains(ids[i])){ nids.emplace_back(ids[i]); } } int pval = ngcnt; if (pval == 1){ nids.emplace_back(pivot); } if (pval*3 > sz || pval == 1){ return sfs(sfs,nids); } int mi = iinf, del = -1; for (int i : nids){ int cnt = 0; int pre = i; while (pre != -1){ cnt++; pre = ask(pivot,pre); } if (chmin(mi,cnt)){ del = i; } } vector nnids; for (int i : nids){ if (i == del) continue; nnids.emplace_back(i); } return sfs(sfs,nnids); }; vector ini(n); iota(all(ini),0); auto sml = dfs(dfs,ini); if (sml.size() == 1u){ int i1 = sml[0]; if (LOCAL){ assert(jp[i1] == 1); } vector ks(n); vector ex(n,false); rep(i,n){ if (i == i1) continue; ks[i] = ask(i1,i); if (ks[i] != -1){ ex[ks[i]] = true; } } int i2 = -1; rep(i,n){ if (i == i1) continue; if (!ex[i]){ assert(i2 == -1); i2 = i; } } assert(i2 != -1); vector p(n); p[i1] = 1; p[i2] = 2; for (int x = 3, i = i2; x <= n; x++){ int ni = ask(i1,i); assert(ni != -1); p[ni] = x; i = ni; } say(p); return ; } int i1 = sml[0], i2 = sml[1]; vector p(n); p[i1] = 1; p[i2] = 2; bool ok = true; vector ids; for (int x = 3, i = i2; x <= n; x++){ ids.emplace_back(i); int ni = ask(i1,i); if (ni == -1){ ok = false; break; } p[ni] = x; i = ni; } if (ok){ say(p); return ; } swap(i1,i2); int len = ids.size(); assert(len == (n+1)/2); rep(i,len){ p[ids[i]] = i*2+1; } p[i2] = 2; repp(i,1,len-1){ int ni = ask(ids[i],i1); p[ni] = i*2+2; } say(p); } int main(){ int t = 1; in(t); while (t--) { solve(); } }