#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #ifdef LOCAL # include "debug_print.hpp" # define debug(...) debug_print::multi_print(#__VA_ARGS__, __VA_ARGS__) #else # define debug(...) (static_cast(0)) #endif using namespace std; #define rep(i,n) for(int i=0; i<(n); i++) #define rrep(i,n) for(int i=(n)-1; i>=0; i--) #define FOR(i,a,b) for(int i=(a); i<(b); i++) #define RFOR(i,a,b) for(int i=(b-1); i>=(a); i--) #define ALL(v) v.begin(), v.end() #define RALL(v) v.rbegin(), v.rend() #define UNIQUE(v) v.erase( unique(v.begin(), v.end()), v.end() ); #define pb push_back using ll = long long; using D = double; using LD = long double; using P = pair; template using PQ = priority_queue>; template using minPQ = priority_queue, greater>; templatebool chmax(T &a, const T &b) { if (abool chmin(T &a, const T &b) { if (b 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...); } void outr() {} template void outr(const T &t, const U &...u) { cout << t; outr(u...); } ll modpow(ll x, ll y, ll mod){ ll res = 1; ll cur = x; while(y){ if(y&1) res = (res * cur) % mod; y >>= 1; cur = (cur * cur) % mod; } return res; } int main(){ ios_base::sync_with_stdio(false); cin.tie(nullptr); int n; ll mod; in(n,mod); ll dp[n+1][n+1]; rep(i,n+1)rep(j,n+1) dp[i][j] = 0; vector c(n+1); vector fact(n+1),finv(n+1),inv(n+1); fact[0] = fact[1] = finv[0] = finv[1] = inv[1] = 1; FOR(i,2,n+1){ fact[i] = (fact[i-1] * i) % mod; inv[i] = (mod-inv[mod%i]) * (mod/i) % mod; finv[i] = finv[i-1] * inv[i] % mod; } auto com = [&] (int x, int y) -> ll{ if(x < 0 || y < 0 || x < y) return 0; return fact[x] * finv[y] % mod * finv[x-y] % mod; }; c[1] = 1; FOR(i,2,n+1) c[i] = modpow(i,i-2,mod); dp[0][0] = 1; rep(i,n+1)rep(j,n){ FOR(k,1,n+1){ if (i+k > n) continue; dp[i+k][j+1] += dp[i][j] * com(n-i-1, k-1) % mod * c[k] % mod; dp[i+k][j+1] %= mod; } } rep(i,n) out(dp[n][n-i]); }