#line 1 "main.cpp" #pragma region Macros #include using namespace std; template inline bool chmax(T &a, T b) { if(a < b) { a = b; return 1; } return 0; } template inline bool chmin(T &a, T b) { if(a > b) { a = b; return 1; } return 0; } #ifdef DEBUG template ostream &operator<<(ostream &os, const pair &p) { os << '(' << p.first << ',' << p.second << ')'; return os; } template ostream &operator<<(ostream &os, const vector &v) { os << '{'; for(int i = 0; i < (int)v.size(); i++) { if(i) { os << ','; } os << v[i]; } os << '}'; return os; } void debugg() { cerr << endl; } template void debugg(const T &x, const Args &... args) { cerr << " " << x; debugg(args...); } #define debug(...) \ cerr << __LINE__ << " [" << #__VA_ARGS__ << "]: ", debugg(__VA_ARGS__) #define dump(x) cerr << __LINE__ << " " << #x << " = " << (x) << endl #else #define debug(...) (void(0)) #define dump(x) (void(0)) #endif struct Setup { Setup() { cin.tie(0); ios::sync_with_stdio(false); cout << fixed << setprecision(15); } } __Setup; using ll = long long; #define ALL(v) (v).begin(), (v).end() #define RALL(v) (v).rbegin(), (v).rend() #define FOR(i, a, b) for(int i = (a); i < int(b); i++) #define REP(i, n) FOR(i, 0, n) const int INF = 1 << 30; const ll LLINF = 1LL << 60; constexpr int MOD = 1000000007; const int dx[4] = {1, 0, -1, 0}; const int dy[4] = {0, 1, 0, -1}; void Case(int i) { cout << "Case #" << i << ": "; } int popcount(int x) { return __builtin_popcount(x); } ll popcount(ll x) { return __builtin_popcountll(x); } #pragma endregion Macros #include using mint = atcoder::modint; #line 1 "/home/siro53/kyo-pro/compro_library/math/combination.hpp" struct Combination { int MAX; vector fac, finv; Combination(int _MAX) : fac(_MAX), finv(_MAX), MAX(_MAX) { fac[0] = fac[1] = 1; for(int i = 2; i < MAX; i++) { fac[i] = fac[i - 1] * i; } finv[MAX - 1] = fac[MAX - 1].inv(); for(int i = MAX - 1; i >= 1; i--) { finv[i - 1] = finv[i] * i; } } mint COM(int n, int k) { if(n < k || n < 0 || k < 0) { return 0; } return fac[n] * finv[k] * finv[n - k]; } }; #line 75 "main.cpp" mint cayley(int n) { if(n <= 1) return 1; return mint(n).pow(n-2); } int main() { debug(1); int N, mod; cin >> N >> mod; mint::set_mod(mod); Combination comb(100000); vector dp(N+1, vector(N+1, 0)); dp[0][0] = 1; REP(i, N) { REP(j, N) { FOR(k, 1, N+1) { if(i + k > N) break; assert(0 <= i+k and i+k <= N); assert(0 <= j+1 and j+1 <= N); assert(0 <= N-i and N-i <= N); dp[i+k][j+1] += dp[i][j] * comb.COM(N-i, k) * cayley(k); } } } REP(M, N) { int m = N - M; mint ans = dp[N][m] / comb.fac[m]; cout << ans.val() << endl; } }