#define LOCAL #define _USE_MATH_DEFINES #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; template ostream& operator <<(ostream& out, const pair& a) { out << "(" << a.first << "," << a.second << ")"; return out; } template ostream& operator <<(ostream& out, const array& a) { out << "["; bool first = true; for (auto& v : a) { out << (first ? "" : ", "); out << v; first = 0;} out << "]"; return out; } template ostream& operator <<(ostream& out, const vector& a) { out << "["; bool first = true; for (auto v : a) { out << (first ? "" : ", "); out << v; first = 0;} out << "]"; return out; } template ostream& operator <<(ostream& out, const set& a) { out << "{"; bool first = true; for (auto& v : a) { out << (first ? "" : ", "); out << v; first = 0;} out << "}"; return out; } template ostream& operator <<(ostream& out, const map& a) { out << "{"; bool first = true; for (auto& p : a) { out << (first ? "" : ", "); out << p.first << ":" << p.second; first = 0;} out << "}"; return out; } #ifdef LOCAL #define trace(...) __f(#__VA_ARGS__, __VA_ARGS__) #else #define trace(...) 42 #endif template void __f(const char* name, Arg1&& arg1){ cerr << name << ": " << arg1 << endl; } template void __f(const char* names, Arg1&& arg1, Args&&... args){ const char* comma = strchr(names + 1, ','); cerr.write(names, comma - names) << ": " << arg1 << " |"; __f(comma + 1, args...); } template auto vect(const T& v, int n) { return vector(n, v); } template auto vect(const T& v, int n, D... m) { return vector(n, vect(v, m...)); } typedef long long int64; typedef pair ii; #define SZ(x) (int)((x).size()) template static constexpr T inf = numeric_limits::max() / 2; const int MOD = 1e9 + 7; // const int MOD = 998244353; mt19937 mrand(random_device{}()); int rnd(int x) { return mrand() % x; } // mt19937_64 mrand(random_device{}()); // int64 rnd(int64 x) { return mrand() % x; } template void out(const vector& a) { for (int i = 0; i < SZ(a); ++i) cout << a[i] << " \n"[i + 1 == SZ(a)]; } template bool ckmin(T& a, const T& b) { return b < a ? a = b, 1 : 0; } template bool ckmax(T& a, const T& b) { return a < b ? a = b, 1 : 0; } template void dedup(vector& v) { sort(v.begin(), v.end()); v.erase(unique(v.begin(), v.end()), v.end()); } void add(int& x, int y) { x += y; if (x >= MOD) x -= MOD; } struct fast_ios { fast_ios() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(10); }; } fast_ios_; int64 power_mod(int64 a, int64 n, int p = MOD) { int64 ret = 1; for (; n; n >>= 1) { if (n & 1) ret = ret * a % p; a = a * a % p; } return ret; } int main() { int n, mod; cin >> n >> mod; auto C = vect(0, n + 1, n + 1); for (int i = 0; i <= n; ++i) { C[i][0] = C[i][i] = 1; for (int j = 1; j < i; ++j) { C[i][j] = (C[i - 1][j - 1] + C[i - 1][j]) % mod; } } vector g(n + 1, 1); for (int k = 2; k <= n; ++k) g[k] = power_mod(k, k - 2, mod); auto dp = vect(0, n + 1, n); dp[0][0] = 1; for (int i = 1; i <= n; ++i) { for (int j = 0; j < i; ++j) { for (int k = 1; k <= i && k - 1 <= j; ++k) { // trace(i, j, k); dp[i][j] += 1LL * dp[i - k][j - k + 1] * g[k] % mod * C[i - 1][k - 1] % mod; if (dp[i][j] >= mod) dp[i][j] -= mod; } // trace(i, j, dp[i][j]); } } for (int i = 0; i < n; ++i) { cout << dp[n][i] << '\n'; } return 0; }