/////////////////////////////////////////////////////////////////////////////// #include #include #include #include #include using namespace std; using namespace __gnu_pbds; /////////////////////////////////////////////////////////////////////////////// #define DEBUG 0 #define pb push_back #define V vector #define S static #define rep(i,n) for(ll i=0LL; i=0LL; --i) #define rfrep(i,f,n) for(ll i=n-1LL; i>=f; --i) #define cfor(i,x) for(const auto & (i) : (x)) #define ALL(a) (a).begin(),(a).end() #define RALL(a) (a).rbegin(),(a).rend() #define CIN(x) do { \ assert(!cin.eof()); \ cin >> x; \ assert(!cin.fail()); \ } while(0); #if DEBUG #define debug_print(...) _debug_print(__VA_ARGS__) #define debug_printf(...) printf(__VA_ARGS__) #define debug_print_time _debug_print_time #else // DEBUG #define debug_print(...) #define debug_printf(...) #define debug_print_time #endif // DEBUG typedef long long ll; typedef unsigned long long ull; typedef __int128_t ll128; typedef tuple t2; typedef tuple t3; typedef tuple t4; typedef tuple t5; template using priority_queue_incr = priority_queue, greater >; template using binary_search_tree = tree, rb_tree_tag, tree_order_statistics_node_update>; /////////////////////////////////////////////////////////////////////////////// void llin(ll &a) { CIN(a); } void llinl1(V &v, ll count) { for (ll i = 0LL; i < count; ++i) { ll a; CIN(a); v.push_back(a); } } void llinl2(V &v, ll count) { for (ll i = 0LL; i < count; ++i) { ll a, b; CIN(a >> b); v.push_back(t2(a, b)); } } void llinl3(V &v, ll count) { for (ll i = 0LL; i < count; ++i) { ll a, b, c; CIN(a >> b >> c); v.push_back(t3(a, b, c)); } } void llinl4(V &v, ll count) { for (ll i = 0LL; i < count; ++i) { ll a, b, c, d; CIN(a >> b >> c >> d); v.push_back(t4(a, b, c, d)); } } void llina(V &v, ll count) { llinl1(v, count); } template void sort(V &v) { sort(v.begin(), v.end()); } template void sort_reverse(V &v) { sort(v.begin(), v.end(), greater()); } t2 _ext_gcd(ll a, ll b, ll g) { if (!b) return t2(1, 0); ll q = a / b; ll r = a % b; t2 sol = _ext_gcd(b, r, g); ll sx = get<0>(sol); ll sy = get<1>(sol); ll x = sy; ll y = sx - q * sy; return t2(x, y); } t2 ext_gcd(ll a, ll b) { return _ext_gcd(a, b, gcd(a, b)); } // x and mod must be coprime ll mod_inv(ll x, ll mod) { t2 result = ext_gcd(x, mod); ll ret = get<0>(result); while (ret < 0) ret += mod; ret %= mod; return ret; } ll msec() { struct timeval tv; gettimeofday(&tv, NULL); ll ret = 0; ret += tv.tv_sec * 1000LL; ret += tv.tv_usec / 1000LL; return ret; } void gcj_head(ll casenum) { cout << "Case #" << casenum+1 << ":"; } void gcj_head_nl(ll casenum) { cout << "Case #" << casenum+1 << ":" << "\n"; } template void _debug_print(T x) { cout << x << " "; } template void _debug_print(tuple x) { T1 x1 = get<0>(x); T2 x2 = get<1>(x); cout << "(" << x1 << ", " << x2 << ") "; } template void _debug_print(tuple x) { T1 x1 = get<0>(x); T2 x2 = get<1>(x); T3 x3 = get<2>(x); cout << "(" << x1 << ", " << x2 << ", " << x3 << ") "; } template void _debug_print(tuple x) { T1 x1 = get<0>(x); T2 x2 = get<1>(x); T3 x3 = get<2>(x); T4 x4 = get<3>(x); cout << "(" << x1 << ", " << x2 << ", " << x3 << ", " << x4 << ") "; } template void _debug_print(T xarray[], ll n) { rep (i, n) _debug_print(xarray[i]); cout << endl; } template void _debug_print(const V &xlist) { for (auto x : xlist) _debug_print(x); cout << endl; } template void _debug_print(const set &xset) { for (auto x : xset) _debug_print(x); cout << endl; } template void _debug_print(const map &xlist) { for (auto x : xlist) { TT k = x.first; T v = x.second; cout << "K="; _debug_print(k); cout << " V="; _debug_print(v); cout << endl; } } // O(log(exp)) ll mod_pow(ll base, ll exp, ll mod) { ll ret = 1LL; for ( ; exp; ) { if (exp & 1LL) { ret *= base; ret %= mod; } base = (base * base) % mod; exp >>= 1; } return ret; } ll mod_mlt(ll x, ll y, ll mod) { ll ret = 0LL; x %= mod; while (y) { if (y & 1LL) { ret += x; ret %= mod; } y >>= 1; x <<= 1; x %= mod; } return ret; } // returns t2(solution, mod) t2 chinese_remainder(ll a1, ll m1, ll a2, ll m2) { assert(a1 >= 0); assert(m1 > 0); assert(a2 >= 0); assert(m2 > 0); ll mgcd = gcd(m1, m2); if (a1 % mgcd != a2 % mgcd) return t2(0, 0); ll mlcm = m1 * m2 / mgcd; t2 z = ext_gcd(m1, m2); ll z1 = get<0>(z); ll z2 = get<1>(z); // ll x = a1 + ((a2 - a1) / mgcd) * m1 * z1; ll x = z1; while (x < 0) x += mlcm; x = mod_mlt(x, m1, mlcm); ll coef = (a2 - a1) / mgcd; while (coef < 0) coef += mlcm; x = mod_mlt(x, coef, mlcm); x += a1; x %= mlcm; return t2(x, mlcm); } void get_divisors(V &retlist, ll x) { for (ll i = 1LL; i < sqrt(x) + 3LL; ++i) { if (x % i == 0LL) { retlist.push_back(i); retlist.push_back(x / i); } } } // returns factors and 1 void get_factors(V &retlist, ll x) { retlist.pb(1LL); for (ll i = 2LL; i < (ll)(sqrt(x)) + 3LL; ++i) { while (x % i == 0LL) { retlist.pb(i); x /= i; } } retlist.pb(x); } bool is_prime(ll x) { V factors, factors2; get_factors(factors, x); for (auto factor : factors) { if (factor > 1) factors2.pb(factor); } return factors2.size() == 1 && x == factors2[0]; } void eratosthenes(set &primes, ll n) { bool *is_not_prime = new bool[n+3LL]; memset(is_not_prime, 0, sizeof(bool) * (n+3LL)); srep (v, 2LL, (ll)sqrt(n)+10LL) { if (is_not_prime[v]) continue; for (ll vv = v * 2LL; vv <= n; vv += v) { is_not_prime[vv] = true; } } srep (v, 2LL, n+1LL) if (!is_not_prime[v]) primes.insert(v); delete [] is_not_prime; } // p must be prime ll mod_root(ll p) { if (p == 2) return 1; if (p == 3) return 2; V flist; get_factors(flist, p-1LL); set fs; for (auto f : flist) if (f > 1) fs.insert(f); srep (a, 2, p) { bool ok = true; for (auto f : fs) { if (mod_pow(a, (p-1LL) / f, p) == 1) { ok = false; break; } } if (ok) return a; } assert(false); } ull combination(ll x, ll y) { if (y > x / 2LL) y = x - y; ull ret = 1LL; for (ll i = 0LL; i < y; ++i) { ret *= x--; ret /= (i + 1LL); } return ret; } // count of integers coprime with x (1<=k<=x) ll euler_phi(ll x) { V flist; get_factors(flist, x); map fcnts; cfor (f, flist) { if (f == 1) continue; fcnts[f]++; } ll ret = 1; cfor (item, fcnts) { ll f = item.first; ll fc = item.second; ll a = 1; rep (xx, fc) a *= f; ll b = 1; rep (xx, fc-1) b *= f; ret *= a - b; } return ret; } #if 0 // (base[0] * x^0 + base[1] * x^1 + base[2] * x^2 + ... ) / (div[0] * x^0 + div[1] * x^1 + div[2] * x^2 + ... ) void polynomial_div(V &q, V &r, V base, V div) { ll blen = base.size(); ll dlen = div.size(); reverse(ALL(base)); reverse(ALL(div)); mint basemlt = div[0]; basemlt.inv(); rep (i, blen - dlen + 1) { mint mlt = basemlt * base[i]; rep (j, dlen) base[i+j] -= div[j] * mlt; q.pb(mlt); } reverse(ALL(q)); ll idx = blen; rep (xxx, dlen - 1) r.pb(base[--idx]); } #endif /////////////////////////////////////////////////////////////////////////////// void _main(); int main() { cout << setprecision(12); #if !DEBUG ios::sync_with_stdio(false); cin.tie(0); #endif _main(); return 0; } // * cause of WA // ** map maps; ll val = maps[non-existent-key]; // ** memory initialization: ll costs[10]; memset(costs, 0, sizeof(bool) * 10); // ** skip enqueue when graph BFS/DFS // ** not apply mod 998244353 // [bad] cout << 10000LL * 10000LL << endl; // [good] cout << mint(10000LL * 10000LL) << endl; // ** array length is too short // [bad] ll anslist[3000]; // [good] ll anslist[300010]; // ** overflow // [bad] ll total = 1e15; ll mlt = 1e5; ll ans = total * mlt; // ** multiset.erase() // {1, 1, 2, 2, 3, 3}.erase(2) -> {1, 1, 3, 3} // * cause of TLE // ** rep (i, too_many_cnt) debug_printf(....); // ** for (auto s : slist) { ...; } <-- each s is big string // ** rep (i, many_cnt) cout << ans[i] << endl; // --> [good] string ansstr; rep (i, many_cnt) ansstr += ans[i] + "\n"; cout << ansstr; void solve() { ll v; llin(v); ll x; llin(x); ll mod = x * v + 1LL; ll r = mod_root(mod); ll a = 1; V anslist; rep (xxx, x) { anslist.pb(a); a *= mod_pow(r, v, mod); a %= mod; } sort(anslist); cfor (ans, anslist) cout << ans << " "; cout << "\n"; } void _main() { ll t; llin(t); rep (i, t) solve(); } ///////////////////////////////////////////////////////////////////////////////