#include using namespace std; using uint = unsigned int; using ll = long long; using ull = unsigned long long; using pii = pair; using pll = pair; template using vec = vector; template using vvec = vector>; #define rep(i, n) for (int i = 0; i < (n); i++) #define rrep(i, n) for (int i = int(n) - 1; i >= 0; i--) #define all(x) begin(x), end(x) constexpr char ln = '\n'; template inline int SZ(const Container& v) { return int(v.size()); } template inline void UNIQUE(vector& v) { v.erase(unique(v.begin(), v.end()), v.end()); } template inline bool chmax(T1& a, T2 b) { if (a < b) { a = b; return true; } return false; } template inline bool chmin(T1& a, T2 b) { if (a > b) { a = b; return true; } return false; } inline int topbit(ull x) { return x == 0 ? -1 : 63 - __builtin_clzll(x); } inline int botbit(ull x) { return x == 0 ? 64 : __builtin_ctzll(x); } inline int popcount(ull x) { return __builtin_popcountll(x); } inline int kthbit(ull x, int k) { return (x >> k) & 1; } inline constexpr long long TEN(int x) { return x == 0 ? 1 : TEN(x - 1) * 10; } const string YESNO[2] = {"NO", "YES"}; const string YesNo[2] = {"No", "Yes"}; inline void YES(bool t = true) { cout << YESNO[t] << "\n"; } inline void Yes(bool t = true) { cout << YesNo[t] << "\n"; } template inline void drop(T x) { cout << x << "\n"; exit(0); } inline void print() { cout << "\n"; } template inline void print(const vector& v) { for (auto it = v.begin(); it != v.end(); ++it) { if (it != v.begin()) { cout << " "; } cout << *it; } print(); } template inline void print(const T& x, const Args& ... args) { cout << x << " "; print(args...); } #ifdef MINATO_LOCAL template ostream& operator<<(ostream& os, pair p) { return os << "(" << p.first << ", " << p.second << ")"; } template void debug_tuple(ostream& os, TUPLE _) { (void)os; (void)_; } template void debug_tuple(ostream &os, TUPLE t) { os << (N == 0 ? "" : ", ") << get(t); debug_tuple(os, t); } template ostream& operator<<(ostream& os, tuple t) { os << "("; debug_tuple<0, tuple, Args...>(os, t); return os << ")"; } string debug_delim(int& i) { return i++ == 0 ? "" : ", "; } #define debug_embrace(x) { int i = 0; os << "{"; { x } return os << "}"; } template ostream& operator<<(ostream& os, vector v) { debug_embrace( for (T e : v) { os << debug_delim(i) << e; } ) } template ostream& operator<<(ostream& os, array a) { debug_embrace( for (T e : a) { os << debug_delim(i) << e; } ) } template enable_if_t>, ostream>& operator<<(ostream& os, T(&a)[N]) { debug_embrace( for (T e : a) { os << debug_delim(i) << e; } ) } template ostream& operator<<(ostream& os, set s) { debug_embrace( for (Key e : s) { os << debug_delim(i) << e; }) } template ostream& operator<<(ostream& os, map mp) { debug_embrace( for (auto e : mp) { os << debug_delim(i) << e; }) } template ostream& operator<<(ostream& os, multiset s) { debug_embrace( for (Key e : s) { os << debug_delim(i) << e; }) } template ostream& operator<<(ostream& os, queue q) { debug_embrace( for (; !q.empty(); q.pop()) { os << debug_delim(i) << q.front(); } ) } template ostream& operator<<(ostream& os, deque q) { debug_embrace( for (T e : q) { os << debug_delim(i) << e; } ) } template ostream& operator<<(ostream& os, priority_queue q) { debug_embrace( for (; !q.empty(); q.pop()) { os << debug_delim(i) << q.top(); } ) } template ostream& operator<<(ostream& os, priority_queue, greater> q) { debug_embrace( for (; !q.empty(); q.pop()) { os << debug_delim(i) << q.top(); } ) } void debug_out() { cerr << endl; } template void debug_out(const T& x, const Args& ... args) { cerr << " " << x; debug_out(args...); } #define debug(...) cerr << __LINE__ << " : [" << #__VA_ARGS__ << "] =", debug_out(__VA_ARGS__) #else #define debug(...) (void(0)) #endif struct fast_ios { fast_ios() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(20); cerr << fixed << setprecision(7); }; } fast_ios_; /////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////// ///// mint::set(MOD) ///// struct DynamicModInt { using Mint = DynamicModInt; public: static int mod() { return int(umod()); } static void set (int MOD) { umod() = (unsigned int)MOD; im() = (unsigned long long)(-1) / umod() + 1; } static Mint raw(int v) { Mint x; x._v = v; return x; } DynamicModInt() : _v(0) {} DynamicModInt(long long v) { long long x = (long long)(v % (long long)(umod())); if (x < 0) x += umod(); _v = (unsigned int)(x); } unsigned int val() const { return _v; } Mint& operator++() { _v++; if (_v == umod()) _v = 0; return *this; } Mint& operator--() { if (_v == 0) _v = umod(); _v--; return *this; } Mint operator++(int) { Mint result = *this; ++*this; return result; } Mint operator--(int) { Mint result = *this; --*this; return result; } Mint& operator+=(const Mint& rhs) { _v += rhs._v; if (_v >= umod()) _v -= umod(); return *this; } Mint& operator-=(const Mint& rhs) { _v += mod() - rhs._v; if (_v >= umod()) _v -= umod(); return *this; } Mint& operator*=(const Mint& rhs) { unsigned long long z = _v; z *= rhs._v; unsigned long long x = (unsigned long long)(((unsigned __int128)(z)*im()) >> 64); _v = (unsigned int)(z - x * umod()); if (umod() <= _v) _v += umod(); return *this; } Mint& operator^=(long long n) { Mint x = *this; *this = 1; if (n < 0) x = x.inv(), n = -n; while (n) { if (n & 1) *this *= x; x *= x; n >>= 1; } return *this; } Mint& operator/=(const Mint& rhs) { return *this = *this * rhs.inv(); } Mint operator+() const { return *this; } Mint operator-() const { return Mint() - *this; } explicit operator bool() const { return _v != 0; } Mint pow(long long n) const { Mint r = *this; r ^= n; return r; } Mint inv() const { int a = _v, b = umod(), y = 1, z = 0, t; for (; ; ) { t = a / b; a -= t * b; if (a == 0) { assert(b == 1 || b == -1); return Mint(b * z); } y -= t * z; t = b / a; b -= t * a; if (b == 0) { assert(a == 1 || a == -1); return Mint(a * y); } z -= t * y; } } friend Mint operator+(const Mint& lhs, const Mint& rhs) { return Mint(lhs) += rhs; } friend Mint operator-(const Mint& lhs, const Mint& rhs) { return Mint(lhs) -= rhs; } friend Mint operator*(const Mint& lhs, const Mint& rhs) { return Mint(lhs) *= rhs; } friend Mint operator/(const Mint& lhs, const Mint& rhs) { return Mint(lhs) /= rhs; } friend Mint operator^(const Mint& lhs, long long rhs) { return Mint(lhs) ^= rhs; } friend bool operator==(const Mint& lhs, const Mint& rhs) { return lhs._v == rhs._v; } friend bool operator!=(const Mint& lhs, const Mint& rhs) { return lhs._v != rhs._v; } friend Mint operator+(long long lhs, const Mint& rhs) { return (Mint(lhs) += rhs); } friend Mint operator-(long long lhs, const Mint& rhs) { return (Mint(lhs) -= rhs); } friend Mint operator*(long long lhs, const Mint& rhs) { return (Mint(lhs) *= rhs); } friend ostream& operator<<(ostream& os, const Mint& M) { return os << M._v; } friend istream& operator>>(istream& is, Mint& M) { long long x; is >> x; M = x; return is; } private: unsigned int _v; static unsigned long long& im() { static unsigned long long im = 0; return im; } static unsigned int& umod() { static unsigned int m = 0; return m; } }; using mint = DynamicModInt; template struct ModCombination { public: ModCombination() {} ModCombination(int n) : n_(n), fac_(n + 1), facinv_(n + 1) { assert(1 <= n); fac_[0] = 1; for (int i = 1; i <= n; i++) fac_[i] = fac_[i - 1] * i; facinv_[n] = M(1) / fac_[n]; for (int i = n; i >= 1; i--) facinv_[i - 1] = facinv_[i] * i; } M fac(int k) const { assert(0 <= k and k <= n_); return fac_[k]; } M facinv(int k) const { assert(0 <= k and k <= n_); return facinv_[k]; } M inv(int k) const { assert(1 <= k and k <= n_); return facinv_[k] * fac_[k - 1]; } M P(int n, int k) const { if (k < 0 or k > n) return M(0); assert(n <= n_); return fac_[n] * facinv_[n - k]; } M C(int n, int k) const { if (k < 0 or k > n) return M(0); assert(n <= n_); return fac_[n] * facinv_[n - k] * facinv_[k]; } M H(int n, int k) const { if (n == 0 and k == 0) return M(1); return C(n + k - 1, n); } M catalan(int n) const { if (n == 0) return M(1); return C(2 * n, n) - C(2 * n, n - 1); } private: int n_; vector fac_, facinv_; }; int main() { int N, M; cin >> N >> M; mint::set(M); vvec dp(N*N+1, vec(N+1)); dp[0][0] = 1; rep(i,N*2) { vvec nex(N*N+1, vec(N+1)); rep(j,N*N+1) rep(one,N+1) { mint val = dp[j][one]; if (!val) continue; int zero = i - one; if (zero - one - 1 >= 0) { nex[j][one + 1] += val; } nex[j + one][one] += val; } swap(dp,nex); } rep(i,N*N+1) { cout << dp[i][N] << ln; } }