#include using namespace std; #define rep(i, n) for (int i = 0; i < n; i++) #define rep2(i, x, n) for (int i = x; i <= n; i++) #define rep3(i, x, n) for (int i = x; i >= n; i--) #define each(e, v) for (auto &e : v) #define pb push_back #define eb emplace_back #define all(x) x.begin(), x.end() #define rall(x) x.rbegin(), x.rend() #define sz(x) (int)x.size() using ll = long long; using pii = pair; using pil = pair; using pli = pair; using pll = pair; const int MOD = 1000000007; // const int MOD = 998244353; const int inf = (1 << 30) - 1; const ll INF = (1LL << 60) - 1; template bool chmax(T &x, const T &y) { return (x < y) ? (x = y, true) : false; }; template bool chmin(T &x, const T &y) { return (x > y) ? (x = y, true) : false; }; struct io_setup { io_setup() { ios_base::sync_with_stdio(false); cin.tie(NULL); cout << fixed << setprecision(15); } } io_setup; struct Runtime_Mod_Int { int x; Runtime_Mod_Int() : x(0) {} Runtime_Mod_Int(long long y) { x = y % get_mod(); if (x < 0) x += get_mod(); } static inline int &get_mod() { static int mod = 0; return mod; } static void set_mod(int md) { get_mod() = md; } Runtime_Mod_Int &operator+=(const Runtime_Mod_Int &p) { if ((x += p.x) >= get_mod()) x -= get_mod(); return *this; } Runtime_Mod_Int &operator-=(const Runtime_Mod_Int &p) { if ((x += get_mod() - p.x) >= get_mod()) x -= get_mod(); return *this; } Runtime_Mod_Int &operator*=(const Runtime_Mod_Int &p) { x = (int)(1LL * x * p.x % get_mod()); return *this; } Runtime_Mod_Int &operator/=(const Runtime_Mod_Int &p) { *this *= p.inverse(); return *this; } Runtime_Mod_Int &operator++() { return *this += Runtime_Mod_Int(1); } Runtime_Mod_Int operator++(int) { Runtime_Mod_Int tmp = *this; ++*this; return tmp; } Runtime_Mod_Int &operator--() { return *this -= Runtime_Mod_Int(1); } Runtime_Mod_Int operator--(int) { Runtime_Mod_Int tmp = *this; --*this; return tmp; } Runtime_Mod_Int operator-() const { return Runtime_Mod_Int(-x); } Runtime_Mod_Int operator+(const Runtime_Mod_Int &p) const { return Runtime_Mod_Int(*this) += p; } Runtime_Mod_Int operator-(const Runtime_Mod_Int &p) const { return Runtime_Mod_Int(*this) -= p; } Runtime_Mod_Int operator*(const Runtime_Mod_Int &p) const { return Runtime_Mod_Int(*this) *= p; } Runtime_Mod_Int operator/(const Runtime_Mod_Int &p) const { return Runtime_Mod_Int(*this) /= p; } bool operator==(const Runtime_Mod_Int &p) const { return x == p.x; } bool operator!=(const Runtime_Mod_Int &p) const { return x != p.x; } Runtime_Mod_Int inverse() const { assert(*this != Runtime_Mod_Int(0)); return pow(get_mod() - 2); } Runtime_Mod_Int pow(long long k) const { Runtime_Mod_Int now = *this, ret = 1; for (; k > 0; k >>= 1, now *= now) { if (k & 1) ret *= now; } return ret; } friend ostream &operator<<(ostream &os, const Runtime_Mod_Int &p) { return os << p.x; } friend istream &operator>>(istream &is, Runtime_Mod_Int &p) { long long a; is >> a; p = Runtime_Mod_Int(a); return is; } }; using mint = Runtime_Mod_Int; template struct Combination { static vector _fac, _ifac; Combination() {} static void init(int n) { _fac.resize(n + 1), _ifac.resize(n + 1); _fac[0] = 1; for (int i = 1; i <= n; i++) _fac[i] = _fac[i - 1] * i; _ifac[n] = _fac[n].inverse(); for (int i = n; i >= 1; i--) _ifac[i - 1] = _ifac[i] * i; } static T fac(int k) { return _fac[k]; } static T ifac(int k) { return _ifac[k]; } static T inv(int k) { return fac(k - 1) * ifac(k); } static T P(int n, int k) { if (k < 0 || n < k) return 0; return fac(n) * ifac(n - k); } static T C(int n, int k) { if (k < 0 || n < k) return 0; return fac(n) * ifac(n - k) * ifac(k); } static T H(int n, int k) { // k個の区別できない玉をn個の区別できる箱に入れる場合の数 if (n < 0 || k < 0) return 0; return k == 0 ? 1 : C(n + k - 1, k); } static T second_stirling_number(int n, int k) { // n個の区別できる玉を、k個の区別しない箱に、各箱に1個以上玉が入るように入れる場合の数 T ret = 0; for (int i = 0; i <= k; i++) { T tmp = C(k, i) * T(i).pow(n); ret += ((k - i) & 1) ? -tmp : tmp; } return ret * ifac(k); } static T bell_number(int n, int k) { // n個の区別できる玉を、k個の区別しない箱に入れる場合の数 if (n == 0) return 1; k = min(k, n); vector pref(k + 1); pref[0] = 1; for (int i = 1; i <= k; i++) { if (i & 1) pref[i] = pref[i - 1] - ifac(i); else pref[i] = pref[i - 1] + ifac(i); } T ret = 0; for (int i = 1; i <= k; i++) { ret += T(i).pow(n) * ifac(i) * pref[k - i]; } return ret; } }; template vector Combination::_fac = vector(); template vector Combination::_ifac = vector(); using comb = Combination; int main() { int N, M; cin >> N >> M; mint::set_mod(M); comb::init(N); vector c(N + 1, 0); c[1] = 1; rep2(i, 2, N) c[i] = mint(i).pow(i - 2) * comb::ifac(i); vector> dp(N + 1, vector(N, 0)); dp[0][0] = 1; rep2(k, 1, N) { rep3(i, N, 0) { rep3(j, N - 1, 0) { if (dp[i][j] == 0) continue; mint x = dp[i][j]; for (int l = 1; i + k * l <= N; l++) { x *= c[k] * comb::inv(l); dp[i + k * l][j + (k - 1) * l] += x; } } } } rep2(j, 0, N - 1) cout << dp[N][j] * comb::fac(N) << '\n'; }