#define _USE_MATH_DEFINES #include using namespace std; #define FOR(i,m,n) for(int i=(m);i<(n);++i) #define REP(i,n) FOR(i,0,n) #define ALL(v) (v).begin(),(v).end() using ll = long long; constexpr int INF = 0x3f3f3f3f; constexpr long long LINF = 0x3f3f3f3f3f3f3f3fLL; constexpr double EPS = 1e-8; constexpr int MOD = 1000000007; // constexpr int MOD = 998244353; constexpr int dy[] = {1, 0, -1, 0}, dx[] = {0, -1, 0, 1}; constexpr int dy8[] = {1, 1, 0, -1, -1, -1, 0, 1}, dx8[] = {0, -1, -1, -1, 0, 1, 1, 1}; template inline bool chmax(T &a, U b) { return a < b ? (a = b, true) : false; } template inline bool chmin(T &a, U b) { return a > b ? (a = b, true) : false; } struct IOSetup { IOSetup() { std::cin.tie(nullptr); std::ios_base::sync_with_stdio(false); std::cout << fixed << setprecision(20); } } iosetup; long long mod_pow(long long base, long long exponent, int mod) { base %= mod; long long res = 1; while (exponent > 0) { if (exponent & 1) (res *= base) %= mod; (base *= base) %= mod; exponent >>= 1; } return res; } unordered_map> fac; vector f(int p) { if (fac.count(p) == 1) return fac[p]; vector &facp = fac[p]; facp.resize(p); iota(ALL(facp), 0); vector prime; FOR(i, 2, p) { if (facp[i] == i) prime.emplace_back(i); for (int e : prime) { if (e * i >= p || e > facp[i]) break; facp[e * i] = e; } } return facp; } // https://www.duo.uio.no/bitstream/handle/10852/78712/Master_s_Thesis_Emilie_Fostvedt_final.pdf int main() { int t; cin >> t; while (t--) { int v, x; cin >> v >> x; int p = x * v + 1; vector fac = f(p); vector pw(p, 1); FOR(i, 1, p) { if (fac[i] == i) { pw[i] = mod_pow(i, v, p); } else { pw[i] = 1LL * pw[fac[i]] * pw[i / fac[i]] % p; } } sort(ALL(pw)); pw.erase(unique(ALL(pw)), pw.end()); assert(pw.size() == x); REP(i, x) cout << pw[i] << " \n"[i + 1 == x]; } return 0; // int xv = x * v; // vector p(xv + 1, vector(x + 1, 1)); // FOR(i, 1, xv + 1) FOR(j, 1, x + 1) p[i][j] = (p[i][j - 1] * i) % (xv + 1); // auto f = [&](auto &&f, vector &a, vector &s) -> void { // if (a.size() == x) { // FOR(i, 1, x) { // if (s[i] % (xv + 1) > 0) return; // } // if (s[x] % (xv + 1) == x) { // REP(i, x) cout << a[i] << " \n"[i + 1 == x]; // } // return; // } // FOR(i, a.empty() ? 1 : a.back() + 1, xv + 1) { // a.emplace_back(i); // FOR(j, 1, x + 1) s[j] += p[i][j]; // f(f, a, s); // FOR(j, 1, x + 1) s[j] -= p[i][j]; // a.pop_back(); // } // }; // vector a; // vector s(x + 1, 0); // f(f, a, s); }